{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "946dad92-303f-4ebe-b87b-4b37bdf777cc",
      "metadata": {},
      "source": [
        "# Dual-Space Methods\n",
        "\n",
        "Copyright (C) 2026 Andreas Kloeckner\n",
        "\n",
        "<details>\n",
        "<summary>MIT License</summary>\n",
        "Permission is hereby granted, free of charge, to any person obtaining a copy\n",
        "of this software and associated documentation files (the \"Software\"), to deal\n",
        "in the Software without restriction, including without limitation the rights\n",
        "to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n",
        "copies of the Software, and to permit persons to whom the Software is\n",
        "furnished to do so, subject to the following conditions:\n",
        "\n",
        "The above copyright notice and this permission notice shall be included in\n",
        "all copies or substantial portions of the Software.\n",
        "\n",
        "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n",
        "IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n",
        "FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n",
        "AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n",
        "LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n",
        "OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n",
        "THE SOFTWARE.\n",
        "</details>\n",
        "\n",
        "---\n",
        "\n",
        "Based on [A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution](https://arxiv.org/abs/2308.00292) (Shidong Jiang, Leslie Greengard)\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import numpy.linalg as la\n",
        "from scipy.special import erf, erfc\n",
        "import matplotlib.pyplot as plt\n",
        "from sumpy.visualization import FieldPlotter\n",
        "\n",
        "# a lot of dividing by zero here, silence warnings\n",
        "np.errstate(divide=\"ignore\", invalid=\"ignore\").__enter__()\n",
        "\n",
        "rng = np.random.default_rng(230800292)\n",
        "\n",
        "def _at_zero(r: np.ndarray, value: float, expression: np.ndarray) -> np.ndarray:\n",
        "    \"\"\"Replace the removable r=0 value in a radial-kernel expression.\"\"\"\n",
        "    return np.where(np.asarray(r) == 0.0, value, expression)\n",
        "\n",
        "# The diameter of [-1/2, 1/2]^3, as in Lemma 8.\n",
        "BOX_DIAMETER = np.sqrt(3.0)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "c2e20446-8a0d-4d9f-b67e-cd80620ba7af",
      "metadata": {},
      "source": [
        "### A refresher: `erf` and `erfc`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f0af18facf0>"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "x = np.linspace(-6, 6, 100)\n",
        "plt.plot(x, erf(x), label=\"erf\")\n",
        "plt.plot(x, erfc(x), label=\"erfc\")\n",
        "plt.plot(x, erf(x) + erfc(x), label=\"sum\")\n",
        "plt.legend()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "07249a4b-3a36-49ff-bc62-4e41a2a2565b",
      "metadata": {},
      "source": [
        "### Decomposing the Green's function"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# change me\n",
        "sigma = 1\n",
        "\n",
        "def M(r):\n",
        "    return 1/r * erf(r/sigma) \n",
        "def W(r):\n",
        "    return 1/r * erfc(r/sigma) "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(0.0, 10.0)"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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//e9z1113cf7553PTTTeRn5/PypUr+frrr/nyyy8BmDBhAmPGjOH000/nxhtvZMOGDbH36nrssce44IILGv1uWnKdzkAtH3Uc3O2iO9uKiERaMqZMmdLk+IO0tLQG71999dV4PB7effddINKlMGXKFNxud4PjZ8yYwcMPP4zNduBX0o033sh5553XZE2NnS8vL6/Bwl4FBQVMmTKl3rFvv/02Tz31FIFAgIKCApYvX85VV10Ve//gRcQO9RrgrrvuYtCgQc3W8swzz/D555+Tl5dHbW0tl112Gd98801srIthGHz44Yc8+OCDBAIBzjvvPBYsWMCUKVNi++zatYtt27Y1+Ex1Heo6zf1ZHPw5OophRofCdiLl5eVkZGTg9XrrDRzqaPtq93Hmv84EoGL143xy71kc3Sut+YNERFqotraWzZs3079//w79V3ZnsWjRIr766ivuvPPOJvfZvn07zz//fItaSARWrFjB8uXL+eEPf5iwGpr7e9zS39/qdqkj1vIB++/vom4XEZG2OuWUUzjllFOa3Sc/P59HH300ThUd/oYPH87w4cMTXUa7qduljtiYD9h/fxd1u4iIiFhN4aMOh+1AQ5BhhPAF1PIhIiJiNYWPOmyGDYexP4AYQWrV8iEiImI5hY+DHFjlNESNXy0fIiIiVlP4OEjd6ba1AbV8iIiIWE3h4yAH31xORERErKXwcZC6N5er8St8iIiIWE3h4yB1u110bxcRkdarrq5m8+bNze5TWVlZ7/4qiVZaWnrIesrKyg75uTrq2lbzer2sXbuWsrKyuF43SuHjIC5bZK0PwwhqzIeICBAKhVizZk3sUVxcTHOLY0+ZMoWZM2c2e85AIMDJJ5/M2rVrrS63TZ5//nmuuOKKZvd56aWXuOSSSxJybStNmjSJ/Px8Lr30Ut5///24XbcurXB6kPqzXRQ+RERKSkoYOnQo+fn5pKSkUFpaSigU4le/+hV33XVXvX1XrlzJq6++SmFhYbPn7NatG3feeSf/+7//y7///e+OLL9FsrKyKCgoSHQZHW7Tpk388Y9/ZN26dXG5h0tT1PJxkAPdLlrnQ0SkrpkzZ7JmzRp2797Nww8/zN13383SpUvr7fOHP/yByy+/PHYTs9raWtasWUM4HKampoaNGzfGbu0+ceJE3nvvPbZs2dLiGpo7H0RaVLZs2UJ1dXWjx5umSVFREeXl5fW2X3HFFfz+979vsH9paSm7d+9u9Fy7du1i586d9bbt27evXteM1+uNtRht37692Raj1mrus+7Zs4dt27bFPsP69espLS1lwYIFAPj9ftasWUModOD3XCgUYuvWrdTW1lpWY1MUPg5Sd7aL1vkQEWncpEmTsNlsfPHFF7Ftpmny73//m3HjxsW2rVixgqFDh/Kzn/2M3NxcLrzwQr766isABgwYwIABA3j77bdj+2/evJni4uImr9vc+X7/+9/Tq1cvzjjjDHr16sVll13G3r17Y8fOmTOHgoICjj/+eAYOHMjYsWNjYy0O7voIBoPccsstZGdnM2LECAYOHMjixYvr1fKLX/yCH//4x/W2/e1vf6vXNTN79mwmTJjAhAkTGDVqFN27d+cvf/nLIb/fQznUZ50+fTqXXnopEyZM4Oijj+bKK6/knXfe4cEHHwQiYWvChAlUVFTEztejRw9OPvlkcnJyeOCBBwiHO+53oMLHQep2u6jlQ0Q6mmmaVAeq4/5o77/AKyoqCIVCuFwH7om1adMmSkpKGDFiRIP9v/76a3bs2MHatWs5/fTTY9tPOOGE2L/GAS655BIeeuihQ17/4PP99a9/ZcaMGSxYsIDCwkKKi4sJBALcc889sWPuvPNObrnlFnbv3k1JSQm//OUvWbFiRaPn/+Mf/8j777/PihUr2LlzJ3/729947bXXWvLV1HPZZZfFWj527tzJ66+/zuTJk1m9enWrzxXVks8Kke/ozDPPZM+ePXzzzTfcfPPN/P3vfwciIW7NmjVkZmYyc+ZMHn74Yf71r3/Fvpvu3bvj8/naXOOhaMzHQaIDTjGC+DTgVEQ6WE2whlP+2fydXzvCousWkexMbtUx27dvZ82aNZSWlvKb3/yGXr16ceWVV8beLyoqAqBHjx4Njn300UdJSUlpsL1nz558/fXXsdcDBgwgNzf3kLUcfL6nnnqK6667DofDwfr16zFNk2uuuYbbb7+dcDiMzWajvLycXr16xY4588wzmzz/888/z5133smQIUMAOP3007n66qtZvnz5IWtrTGVlJcXFxeTn5zNo0CBmz57N0KFD23SulnxWgLy8PO69995Dnm/69OnccccdnH/++QA4nU4eeOCBNtXWUgofB3Hb3UBktkuNwoeISMwjjzxCSkoKxcXF1NbW8sknn9CzZ8/Y+9FWEL/f3+DYAQMGNHpOv99fr/Xk3XffbVEtB59v1apV7N27t14XDkC/fv3Yt28fWVlZTJs2jUmTJvGPf/yDsWPHctlll3HCCSc0ev6NGzcybNiwetuGDx/e6vCxYcMGbr75ZpYsWUJ2djbJyckUFhayY8eOVp2nrpZ8VoD+/ftjGMYhz7d27VqmTp3a5nraQuHjIHUXGavVXW1FpIMlOZJYdN2ihFy3tWbOnMn48eMJBoNMnjyZH/zgB3z77bexX3bR2SI7duwgPz+/3rF2u73Rc+7YsYP+/fu3upaDz+d0OnnwwQeZNGlSk8fcdNNNXH755Xz++ed88sknnHHGGUybNq3BuA0Aj8fTYODlwQM7G/vFHgwG672+6667yM/P56OPPoq11JxyyintGk/Rks8KTX/nB3O5XE0O0O0oGvNxkFjLh03rfIhIxzMMg2RnctwfLfkXcVMcDgdPPfUUbrebn//857Ht2dnZDBkyhIULF7b4XIsXL+bss8+OvT7UgNOmnHbaabzxxhsNtgcCgdjPwWCQtLQ0vv/97/P0009zzz338OqrrzZ6vpEjRzJ37tx62+bMmVPvdc+ePWNdTVF1u5AAVq9ezUUXXRQLHrt3725ynEndmtesWVNvFk9dLfmsrTFmzBg++OCDetvC4bClM3MOpvBxkGj4QN0uIiJN8ng8PPbYY8ycOZP169fHtv/whz/kzTffbNE55s2bh8/n49JLL41ta+mA04NNmzaNRYsWceONNzJ37lzmzZvHtGnTuPzyy4HINNLjjz+eP/3pTyxdupRPP/2Ud999l1NPPbXR8/3sZz/jH//4B0888QSLFy/m/vvvrzezB+DCCy/kyy+/5JlnnmHZsmU8/vjjDULBqaeeyowZM5g/fz7/+c9/uPTSSw85kHPr1q0MHTq0Qdhp6WdtrV/96ld8/PHH3HPPPSxYsID333+fsWPHUlNT06bztYTCx0HqrvPhU7eLiAgOh4PBgweTmppab/t1113HeeedxwsvvBDbdscdd7By5crYv+6TkpIYPHhwo10Azz33HJMmTap33kMNOG3qfCeddBJLly7F5XJx77338tBDD1FdXR2b3WG323nnnXf46quvuOuuu/j1r3/NxIkTmTZtGtBwkbGxY8fy6quvMmvWLKZMmUIwGOT//u//6o01GT16NC+//DJvvPEGP/7xj6moqOCpp56qt89zzz3HCSecwOTJk3nkkUe47rrruPHGG8nOzo7tc/C1v/vuO3Jzc/ne977X6HdwqM8KkVaZvn37Njg2OTmZwYMH12v5Gj16NF9++SWlpaVMmjSJmTNn8vjjj5Oc3LoBya1hmB3ZrtJG5eXlZGRk4PV6SU9Pj+u1py+bzl9W/AX/3tNIrbqCZT8/L67XF5Guq7a2ls2bN9O/f388Hk+iy+kwM2fOZO3atfzud79rcp/t27dz1VVX8emnnzYINUe6xx57jAEDBnD99dcnupRGNff3uKW/vzXg9CAu+/5R17aQul1ERNrgtttuO+Q++fn5fPnll3Go5vBTdxxNV6Vul4NEw4dhBKgNhDp0wI2IiMiRyPLwUV1dzeTJk+nduzdOp5O+ffsyderUBtOPOqsDA05DhE3whzTuQ0RExEqWd7s88MADvP3223z44YcMGzaMhQsXcvHFF5OWlhZbU74zO7DCaWTKUm0gjNvRsrnSIiIicmiWt3x8/fXXjBs3juOPPx6Hw8Hpp5/Oaaed1mDuc2cV63axRVpqtMS6iIiItSwPH9dffz0fffQRS5YsoaqqitmzZ/Pll19y3XXXWX2pDhENH3ZbJHRo0KmIWE1jyeRwZsXfX8u7Xe68807Wrl3LqFGjALDZbPz6179mwoQJTR7j8/nqLbpSXl5udVktFh3zYdsfPrTEuohYxemMrCNUXV1NUlLrlzcX6QyiS7FH/z63heXh46c//Slvv/02S5cu5dhjj2XhwoVcfvnluN3uJu+uN23aNB555BGrS2mTg7tdtMS6iFjFbreTmZnJ7t27gciCT+1Z5lwknkzTpLq6mt27d5OZmdnie8c0xtJFxsLhMCkpKfz2t7+td6OeBx98kH/+859s2bKl0eMaa/no06dPQhYZW1i0kNs+uQ17MJey9VN49fbRjB6QFdcaRKTrMk2T4uJiysrKEl2KSJtkZmaSk5PTaHBOyCJjhmHgcDga9AeFw+Fmm2fcbjdut9vKUtosdmM5Qy0fImI9wzDIzc0lOzu7zTcCE0kUp9PZrhaPKMvDxxVXXMHvf/97TjrpJI477jgWLlzI888/z+23327lpTrMgam2Ch8i0nHsdrsl/xEXORxZPubj6aef5pFHHuGmm25i165d5OXlMWXKFKZOnWr1pTpEdMyHGQsfGnAqIiJiJcvDR2pqKk888QRPPPGE1aeOiwMrnKrlQ0REpCPo3i4HibZ8hIn0xWqdDxEREWspfBwk1u1CEAir20VERMRiCh8HiQ04BTBC6nYRERGxmMLHQWJjPgCMoMKHiIiIxRQ+DuKwHRiDayh8iIiIWE7h4yCGYdSb8aIBpyIiItZS+GhEdNAptiDVfoUPERERKyl8NCI66NQwFD5ERESspvDRiLrdLlW+YGKLERER6WIUPhoR7XYxjIBaPkRERCym8NGIWMuHLUiVXy0fIiIiVlL4aITbEQkfhhGgRi0fIiIillL4aESSPSnygy2gMR8iIiIWU/hoRLTlg/1jPkzTTGxBIiIiXYjCRyM8dg8Ahi1AMGziD+nmciIiIlZR+GiExxEJHxgBAI37EBERsZDCRyOis10cjsh4jyqFDxEREcsofDQi2vLh3B8+qjXoVERExDIKH42IjvlwOiItHmr5EBERsY7CRyOi3S52u1o+RERErKbw0Yhot0ssfKjlQ0RExDIKH42IdrvY7JHZLlpiXURExDoKH42ItnwYNrV8iIiIWE3hoxF17+0CaIl1ERERCyl8NCLa7WIafkAtHyIiIlZS+GjEwSucKnyIiIhYR+GjEdGWjzDR8KFuFxEREasofDQius5HCB8AVT61fIiIiFhF4aMR0W6XkBkd86GWDxEREasofDQi2u0SNCMtHxrzISIiYh2Fj0YcaPkIAmG1fIiIiFhI4aMR0TEfABhBjfkQERGxkMJHI2JTbQHD5lfLh4iIiIUUPhphM2y4bK7ICyNIlcZ8iIiIWEbhownRJdaxBajW8uoiIiKWUfhoQnTGi2H4qfKHCIfNBFckIiLSNSh8NCE27mP/nW0rNe5DRETEEgofTYjOeHE6IqGjolbhQ0RExAoKH01IciQBkOwOA1Cp8CEiImIJhY8mRFs+PK7ITJeK2kAiyxEREekyFD6aEJ3t4o6GD814ERERsYTCRxOS7JFuF5cj0u2iMR8iIiLWUPhoQrTlw+ncP9tF4UNERMQSCh9NiK7zcWC2i8Z8iIiIWEHhownRdT4c9siYj0qN+RAREbGEwkcTorNdbPZIi4fGfIiIiFhD4aMJ0ZYPw6bwISIiYiWFjyYkO5KBuuFDYz5ERESsoPDRhOgKp2F8gFo+RERErKLw0YQD4aMW0IBTERERqyh8NCHZGel2CcZaPtTtIiIiYgWFjyZEx3wEwmr5EBERsZLCRxOiLR/+cA0A5RrzISIiYgmFjyZEWz5qQ5Hw4Q+G8QVDiSxJRESkS1D4aEK05aM2WBPbpvu7iIiItJ/CRxOis11qQ7WkuAxA4z5ERESsoPDRhGi3C0BqkglorQ8RERErKHw0wW13YzMiX0+yJzLWQ+FDRESk/RQ+mmAYRqz1I9kTCR3lWutDRESk3RQ+mhENHyn7Wz7KaxQ+RERE2kvhoxnRGS9J7kj48Cp8iIiItJvCRzOiM148rki3i8KHiIhI+3Vo+PD5fNTU1Bx6x04qGj7czkj4KKtW+BAREWmvDgkfa9as4fzzzycjI4P8/HyuueYa9u7d2xGX6lDRbhdHNHyo5UNERKTdLA8fO3fu5IwzzqBPnz6UlJSwZ88err32WpYuXWr1pTpcdMCpw+EH1O0iIiJiBYfVJ3z88cdJTU3lueeew+l0AnDZZZdZfZm4iLZ82O2R0OGt9ieyHBERkS7B8paP999/n0svvRSn04nX6yUcDlt9ibiJrXJqU8uHiIiIVSwPH4WFhRiGwciRI+nTpw+pqalcf/31lJaWNnmMz+ejvLy83qMziA44xfABGvMhIiJihQ4ZcPrcc88xY8YMysvLWbNmDcuXL+euu+5qcv9p06aRkZERe/Tp06cjymq1aLdLmFogsshYOGwmsiQREZHDnuXhIy8vjwsvvJAzzzwTgL59+zJp0iQ++OADTLPxX9xTp07F6/XGHoWFhVaX1SbRbpcgkZaPsAkVurOtiIhIu1g+4PTss8+muLi43rbKykqSkpIwDKPRY9xuN2632+pS2i3a8uEP1eJx2qgNhCmvCZCR5ExwZSIiIocvy1s+7r//fubPn88f/vAHNm3axHvvvcdTTz3FbbfdZvWlOly05aM6WE1mkgvQQmMiIiLtZXnLxzHHHMNnn33GL37xC5588klyc3N56KGHuPvuu62+VIeLDjitDlSTkeSkuLyWshpNtxUREWkPy8MHwOjRo/n444874tRxFe12qQ5Wk5Ec6WrRdFsREZH20Y3lmlG/2yUSPtTtIiIi0j4KH81Icka6XWqCNbFBpmr5EBERaR+Fj2ZEWz6q/FVkJEV6qBQ+RERE2kfhoxlprjQAgmaQVE9kjRKvul1ERETaReGjGcmOZAwia5O4PZHFxfbp5nIiIiLtovDRDMMwSHWmApDkirR4lFYpfIiIiLSHwschpLoi4cPtioSOUrV8iIiItIvCxyGkOFMAcEbDh1o+RERE2kXh4xCig05t9sidbcuqAwRD4USWJCIiclhT+DiEaMuHadQQvS/ePs14ERERaTOFj0NIc0ZaPmqC1bGFxtT1IiIi0nYKH4eQ4oq0fFQEKuieErmz7d4qXyJLEhEROawpfBxCtOWjyl9F1v7wsa9K3S4iIiJtpfBxCNGptpWByljLR6laPkRERNpM4eMQogNOI+HDDcBejfkQERFpM4WPQ4hOta30V8a6XTTgVEREpO0UPg4h2vJREaigW2zAqcKHiIhIWyl8HEJjA05LKxU+RERE2krh4xAam2qrbhcREZG2U/g4hFjLR6DqQPjQzeVERETaTOHjEKJTbasCVWSm2AHYV+UnHDYTWZaIiMhhS+HjEFKdqbGfPa7I4mLBsIm3RguNiYiItIXCxyG47C5ctkh3SyBcG7u/S0mlFhoTERFpC4WPFoh2vVQEKshOiyw0VlKh8CEiItIWCh8tEO16qQpU0XN/+NhdUZvIkkRERA5bCh8tEFtozK+WDxERkfZS+GiBdFc6EAkfPRU+RERE2kXhowXS3ZHw4fV5yU7zALBb4UNERKRNFD5aIMOdAUC5v1wtHyIiIu2k8NEC0W4Xr89bZ8CpwoeIiEhbKHy0QN2WDw04FRERaR+FjxaItnyU+w50u3hrAviCoUSWJSIiclhS+GiBaMuH1+8lI8mJyx752tT6ISIi0noKHy2Q4drf7eIrxzAMDToVERFpB4WPFohNtfV7ARQ+RERE2kHhowWiLR9enxfTNGODTneVa4l1ERGR1lL4aIFoy0cgHKA2VEtuRmShsWKFDxERkVZT+GiBZEcyDsMBRFo/cjKSACgqU/gQERFpLYWPFjAMo94S69GWjyKvwoeIiEhrKXy0UGytD3+5ul1ERETaQeGjhWKrnPrKyY12u3hrME0zkWWJiIgcdhQ+Wqhuy0d2emS2S20gTFl1IJFliYiIHHYUPlootsqpz4vHaScrxQVo3IeIiEhrKXy0UN0l1gFyYuM+ahJWk4iIyOFI4aOF6t5cDoiN+9ip6bYiIiKtovDRQtGWjzJfGcCBGS/qdhEREWkVhY8WOjh85GitDxERkTZR+Gih7u7uAJTWlgIHWj52lmnMh4iISGsofLRQN083APbV7gMgv1syADsUPkRERFpF4aOFouGjzFdG2AyT3y064LSGUFgLjYmIiLSUwkcLdfdEul1CZogKfwW90j047QbBsKll1kVERFpB4aOFXHYXKc4UINL1YrcZ9M6MtH5sL61OZGkiIiKHFYWPVujm3j/uwxcZ99Fn/7iPwn0a9yEiItJSCh+tEO16ic54iY772L5PLR8iIiItpfDRCg1nvETDh1o+REREWkrhoxUODh99uu/vdtGYDxERkRZT+GiFaPho2O2ilg8REZGWUvhohegqpwcPOC0uryUYCiesLhERkcOJwkcrZHoygQPdLj1S3bgdNkJhUyudioiItJDCRytEZ7tEw4fNZlCQFVn7Y/OeqoTVJSIicjhR+GiF6Dof0TEfAP17KHyIiIi0hsJHK9Sd7WKakfu5FOwPH1sUPkRERFqkQ8NHIBBgxYoVFBYWduRl4iba7eIP+6kKRMLGgP3hY5PCh4iISIt0aPh44IEHOPbYY7n33ns78jJxk+xMJtkRmeGyp2YPUKflY6/Ch4iISEt0WPj44IMP+Pjjjxk7dmxHXSIheib3BKCkpgQ4MOZj+74afMFQwuoSERE5XHRI+Ni5cye33347L730EklJSR1xiYTpkdQDgL01eyOvU12kuh2YJmzbq5VORUREDsXy8BEOh7nhhhuYMmUKI0eOtPr0CRcNH9GWD8MwNONFRESkFRxWn/DXv/41AP/zP//T4mN8Ph8+ny/2ury83OqyLNMzKdLtEh3zAZFxH9/t8Cp8iIiItIClLR/ffPMN06ZN4/7772fVqlWsWLGCiooKysvLWbFiBYFAoNHjpk2bRkZGRuzRp08fK8uyVFZSFlA/fPTXoFMREZEWs7TlY+/evQwYMICf/vSnsW3btm3DMAyuvfZaPvnkE3r37t3guKlTp3LffffFXpeXl3faANJYy0f/HpEZMJtKFD5EREQOxdLwMXbsWFasWFFv28UXX4zH4+GNN95o8ji3243b7baylA5z8JgPgP49UgGt9SEiItISWuG0lQ6e7QIwsGek26Wkwse+Kn9C6hIRETlcdHj46NevH3379u3oy8RNdJ2P0tpSAuHIGJY0j5O8zMiU4nW7KhJWm4iIyOHA8tkuB3vmmWc6+hJxlenOxGE4CJpBSmtK6ZXSC4DBOWnsKKth3a4KThmQleAqRUREOi91u7SSzbDRPSlyj5e6g06P7pUGwFq1fIiIiDRL4aMNouM+6oaPwTmRQafriisTUpOIiMjhQuGjDaLTbXfX7I5tq9vyYZpmQuoSERE5HCh8tEGv5Mg4j11Vu2LbBvZMxWaAtyZASYWvqUNFRESOeAofbZCTkgNAcVVxbJvHaadg/0qnGvchIiLSNIWPNojOcNlVvave9sHRrpdihQ8REZGmKHy0QU5yw5YPqDPuQ+FDRESkSQofbVC35aPu4NIhOZHwsaqo896VV0REJNEUPtogOzkbgJpgDeX+A0FjeF4GEFnl1BcMJaQ2ERGRzk7how2SHElkujOB+uM+8rslkZHkJBAytd6HiIhIExQ+2ig63bbuuA/DMDh2f+vHdzu8CalLRESks1P4aKPodNuDZ7wMV/gQERFplsJHGzXW8gHEWj5WKHyIiIg0SuGjjWItH1X1Wz6i4WNtcQX+YDjudYmIiHR2Ch9tFJ1ue3DLR5/uSaR7HPhDYdZppVMREZEGFD7aqHdKbwB2Vu2st90wjNi4D3W9iIiINKTw0UZ5qXkAFFUVEQrXX9Pj2PxI+Pi6sCzeZYmIiHR6Ch9tlJ2cjcPmIBgOsrt6d733TuzbDYDl2/YlojQREZFOTeGjjew2O7kpuQDsqNxR770T+kXCx7pdlXirA3GvTUREpDNT+GiH3qmRcR8Hh48eqW7690gBYHmhWj9ERETqUvhoh/zUfKBh+AA4Idr1slXhQ0REpC6Fj3aIDjptLHycuL/rZZnCh4iISD0KH+3QXPg4qSASPr4uLCMY0mJjIiIiUQof7RAd87GzcmeD947qmUqax0G1P8TqIi02JiIiEqXw0Q75aZExH7uqdxEI15/VYrMZsa6XRZv3xr02ERGRzkrhox2yPFkkOZIIm2F2VDTsehkzMAuALzcqfIiIiEQpfLSDYRj0TesLwLaKbQ3eHzOwBwCLNpdq3IeIiMh+Ch/t1C+9HwBbvFsavDc0N52MJCeVviDf6T4vIiIigMJHu0XDx9byrQ3es9sMRg/oDsACdb2IiIgACh/t1lz4gANdLxr3ISIiEqHw0U6xbpfyLY2+Hx10umRLKbWBUKP7iIiIHEkUPtqpIL0AiEy3rQnWNHj/qOxUstPc+IJhlmwpjXN1IiIinY/CRztlejLJcGcAsK284YwXwzA4a3BPAD5fUxLX2kRERDojhQ8LHGrcx9mDswH4fO3uuNUkIiLSWSl8WCDa9dJU+Dh9UA8cNoPNe6rYvKcqjpWJiIh0PgofFjjUoNM0j5OTCyJTbj9fo9YPERE5sil8WOBQ3S4AY4eo60VERAQUPiwR7XbZ5N2EaZqN7nP2/vCxaFMp5bWBRvcRERE5Eih8WKAgowC7YafCX8Hu6sZbNo7KTmVgzxT8oTCzV6v1Q0REjlwKHxZw2930TY/cYG5D2YYm97vw2FwAPlxRFJe6REREOiOFD4sMyhwEwPp965vcZ/zwHADmrC2hyheMS10iIiKdjcKHRY7qdhQA68uaDh/H5KbTLysZXzDMnLVacExERI5MCh8WOTrzaKD5lg/DMGKtHx98p64XERE5Mil8WCTa8rHJu4lQuOkbyF18bG8APlu9S7NeRETkiKTwYZH81Hw8dg++kI/CisIm9xuel86g7FR8wTAfqvVDRESOQAofFrHb7AzIHAA0P+PFMAwuPyEfgDeX74hLbSIiIp2JwoeFWjLjBWDCyN4YBizeXEphaXU8ShMREek0FD4sNKjb/vDRzIwXgNyMJE4b2AOAf3+l1g8RETmyKHxYaEj3IQCs2rvqkPtefkIeAG8t397kkuwiIiJdkcKHhYZmDQVgR+UOymrLmt133LAcUt0OtuytZsHGvXGoTkREpHNQ+LBQuiudvmmRZdZXlTbf+pHidsRaP/7xZdN3wxUREelqFD4sNixrGNCyrpcbRvcD4NPVuyjy1nRoXSIiIp2FwofFjsk6BoCVe1Yect+je6UxekB3QmGTVxZt6+jSREREOgWFD4sN6xFp+Vi599DhA+DG0QUA/HNxIf5guKPKEhER6TQUPiw2tHtk0GlRVRGltaWH3P/8Yb3ITnOzp9LHe9/s7OjyREREEk7hw2KprlQK0guAlo37cNpt3DQmsv+f/ruRcFjTbkVEpGtT+OgA0XEf3+35rkX73zC6H6luB+t2VTJ7ze6OLE1ERCThFD46wHE9jwPgm93ftGj/jCQn14+OTNF9ds4GLTomIiJdmsJHBxiZPRKAb0q+IRQOteiYW0/rj8tuY/m2MhZvPvRYERERkcOVwkcHOLrb0SQ7kqkMVDZ7h9u6stM9XHFi5G63M/7T/L1hREREDmcKHx3AYXPEul6+2v1Vi4+7++yBuOw2Fmzcyxcb9nRUeSIiIgml8NFBTsg+AWhd+Mjvlsx1p0TGfvy/j9dq7IeIiHRJHRI+QqEQa9as4bvvvqOm5shcNnxE9gigdeED4O6zjyLJaeebwjI+W62ZLyIi0vVYHj6efvppCgoKmDBhAtdeey29e/fmL3/5i9WX6fSO63kcdsNOUVURxVXFLT6uZ5qbm08rAOC3H60hENKqpyIi0rVYHj7Ky8tZsmQJa9asYeXKlTz55JPcfvvtfPNNy6addhUpzhQGdx8MwLJdy1p17B3fG0j3FBcbdlfqjrciItLlWB4+HnzwQXJycmKvJ06ciMPhYNGiRVZfqtMblTMKgEVFrfvsGUlOfnp+JLg89dk69lb6LK9NREQkUTp8wOnXX3+N3+9n0KBBTe7j8/koLy+v9+gKRueOBmBh0cJWDx695uQ+HJObTkVtkN99sq4jyhMREUmIDg0fVVVV3HzzzZx55pmcddZZTe43bdo0MjIyYo8+ffp0ZFlxMzJ7JA6bg6KqIgorClt1rN1m8MvvR+6Q++qSbSzbuq8jShQREYm7DgsftbW1TJgwAb/fz+uvv45hGE3uO3XqVLxeb+xRWNi6X9SdVbIzmRE9RwCR1o/WGtW/O1eckI9pwgNvfosv2LLVUkVERDqzDgkfPp+PCRMmUFhYyOzZs8nOzm52f7fbTXp6er1HV1G366Utfn7xUHqkRgafPjO7ZaulioiIdGaWh49o8NiyZQuff/55vcGnR6LRvSPhY3Hx4hbf56WuzGQXj146HIBn52xkdVHXGA8jIiJHLsvDx9VXX838+fP55S9/ydq1a5kzZw5z5sxhy5YtVl/qsDAsaxipzlS8Pi8r965s0zkuGJ7DuGG9CIZN/ue1b9T9IiIihzWH1SesqanhxBNP5Lnnnqu3feLEiUycONHqy3V6DpuDMb3H8MnWT5hTOCd2z5fWMAyDxy4dzuLNpawqKue3H67l4UuOsb5YERGROLA8fHzyySdWn/Kwd1afs/hk6yf8d/t/+fEJP27TObLTPfzuquO59W9LeeGLzZw+KIuxQ3pZXKmIiEjH043l4uCMvDOwGTbW7ltLUWVRm89zztBesaXXf/r6t+wqr7WoQhERkfhR+IiDTE9mbMrt3O1z23Wu/71gCMfkplNa5eeul5Zp/IeIiBx2FD7i5Mz8MwGYs31Ou87jdth55voTSPc4WL6tjF++u7LVq6eKiIgkksJHnJzV5ywAFhctpsJf0a5z9e+Rwh9+MBKbAa8sLuSlRdssqFBERCQ+FD7iZEDGAAZkDCAQDvB54eftPt9Zg7O5f/wQAB55dyX/XVfS7nOKiIjEg8JHnBiGwfiC8QB8vOVjS855x5kDmDCiN8GwyV0vLeO77V5LzisiItKRFD7i6PyC8wFYsHMBXl/7g4JhGPy/K4/ntKOyqPKHuPmvi9m6t6rd5xUREelICh9xNDBzIEdlHkUwHGT2ttmWnNPlsPHcDSdyTG46eyr93PCXRewsq7Hk3CIiIh1B4SPOxhWMA+CjLR9Zds40j5O/3nwy/bKSKSyt4QczF1LkVQAREZHOSeEjzi7qfxEAX+78kuKqYsvOm53u4ZXbRtO3ezJb91Zz7fMLKfZqETIREel8FD7irE96H07IPgETk1mbZll67t6ZSbxy+2j6dE9i695qrnn+S7btrbb0GiIiIu2l8JEAE46aAMDbG962fIGwvMwkXrntQAC5/I8LWLlTs2BERKTzUPhIgHEF40hyJLG1fCvflHxj+fnzuyXz5p1jGJKTxp5KH9f8aSELNu6x/DoiIiJtofCRAMnOZM7vF5l2+/q61zvkGtnpHl6781RO6d+dSl+QiS8s4bUlhR1yLRERkdZQ+EiQqwZfBcBHmz+itLa0Q66R7nHyt1tGcdGxufhDYe5/81seeW8lwVC4Q64nIiLSEgofCXJcj+MYljUMf9jPW+vf6rDreJx2/u8HI/nJuYMAePGLLdz04mL2Vvo67JoiIiLNUfhIEMMwuG7odQD8a+2/CIaDHXYtm83gJ+cezXM3nECyy84XG/Zy4R/m8eXGvR12TRERkaYofCTQ+ILxdPd0p7iq2JKbzR3yesNzeWvSGAb2TGFXuY/r/7yQpz5dRyhs7YwbERGR5ih8JJDL7uKKQVcA8NKql+JyzSE56bw3+XSuOjGfsAkz/rOeHzy/UPeEERGRuFH4SLBrh1yL0+Zk+e7lLC1eGpdrJrscPHHV8Uy/ZgQpLjuLt5Qyfvo8XvxiM2G1goiISAdT+Eiw7OTs2KJjM7+bGddrTxiZx0c/OZNTB2RREwjxyHuruOb5L9mwuzKudYiIyJFF4aMTuGX4LdgNOwt2LmDFnhVxvXaf7sm8/KNT+NWE4aS47CzZso8LZvyXaR+upsrXcYNgRUTkyKXw0Qnkp+Vz0YDIDeee//b5uF/fZjO4YXQ/Pr73TM4Zkk0gZPKnuZs45/dzee+bnZYvAS8iIkc2hY9O4kfH/ggDg88LP49760dUfrdk/jLxZP5y00n07Z5McXktk1/5ique+5KlWzpmITQRETnyGGYn/GdteXk5GRkZeL1e0tPTrTvx+s+gphRsdrA56jzqvnaCMwlcKeBMPvCz3WldHU342fyf8e7Gdzmp10m8MO4FDMPo8Gs2pTYQ4k9zN/HsnA34gpEVUc8dms1Pxw1mSI6FfyYiItJltPT395EVPv58Hmxf3LZjbU5wJYMrFTwZkNQt8vBkQlLm/tf7n5OzILVX5JHUDVoYIoqrirnorYvwh/08c84znJl/ZttqtVCxt5YZ/1nPa0sLCYVNDAMuG5HHpLOP4qjs1ESXJyIinYjCR2M+fABK1kA4tP8RrPPY/zrkh0ANBKrBXwVmqH3XtDkjISRtfxhJzYbUHEjLgYw+kJEPmX0irSvAU8ue4oUVLzAwYyBvfP8NHDaHBR+8/TaWVPL7T9bywXfFQCRPXTA8h0lnHcXwvIwEVyciIp2BwocVTDMSRvxVdQJJJdSUQc0+qN3/HHuURR5VJVC5K/J+SyV1g4w+lKf35sLgerxmgAf7XswPhlwL3fqDp3N0dXy7vYz/m72BT1ftim07a3BPbj9zAKcOyEpoV5GIiCSWwkdnEPRB5e5IEKncBRXFB16X7wTvdvAWgq+83mGvpKXyeI/upIbDvLd9Jz1CYUjpCd0HHPToH3lO6hb3j7amuJw/ztnIe9/sJLou2eBeadw0poDLRuaR5LLHvSYREUkshY/DSa03EkTKCsFbSKhsG9fv+oSV4WourA3y26KdzR+f1C0SQnocHXn0HAw9BkO3ArB3bLfNlj1V/Hn+Jt5ctoOaQKSLKiPJyTUn9+G6UX0p6JHSodcXEZHOQ+HjMLdy70que/86wmaY5783nVPdPaB0U53H5shzRVHTJ7E5IWtg/UDSY1Dk4bI2FHhrAry+tJC/f7mVbaXVse2j+nfn6pP6cOGxOSS7Osf4FRER6RgKH13A44se55U1r9A7pTdvfv9NUl2NzC7xV0WCyN4NsGc97FkHe9ZGfg5UN9w/KqMv9Dwaeg6B7GOg1zGRcOJKblfNobDJ52t284+FW/nv+hKif7tSXHYuPq43V56Uz4l9u2GzaWyIiEhXo/DRBVQFqrji3SvYUbmDCUdN4LHTHmv5weEwlG+HknUHAknJ/ufqvU0cZETGkWQfA9lD9z+GRVpP2rDOyc6yGt5avp3Xl21n694DQSg3w8OFx+ZyyfG9OT4/Q4NURUS6CIWPLmLZrmXc/NHNmJjMOHsGY/uObf9Jq/ZGAknJmshj10rYvarpUGJzRrpuYoFkfzjJ7Ae2Qy+Sa5omizeX8vqy7Xy0opjKOveM6dM9iYuO7c2Fx+YwvHeGWkRERA5jCh9dyJNLn+TFlS+S6c7ktYtfIzc1t2MuVFkSCSG7V9d5Xg3+isb3d6ZA9pD6gST7mMh6Jk20ZtQGQsxdV8Ksb4v4z+pdVPsPrKOSnebmnKHZnDOkF6cd1UMzZkREDjMKH12IP+Tnhg9uYHXpao7rcRx/Hf9XnHFY7h2IrHXiLTwokKyKdOGEfI0fk9QNeg5t2FKS3L3ebjX+ELPX7Ob973Yyd20JVXWCiMdp47SBPRg7NJszB/WkT/f2jUUREZGOp/DRxWyv2M7Vs66mwl/BdUOuY+opUxNbUCgI+zYfCCTRrpvSTWCGGz8mtVfDVpKeg8Gdhi8YYuGmUv6zehf/Wb2bHWU19Q7tl5XMaUf14PSjejBmYBaZya44fEgREWkNhY8uaE7hHCbPngzAL079BVcefWViC2pMoBb2rm/YUlK2reljMvrWayUxew5mbSiXz9aXM2dtCV8VlhEKH/hrahhwbF4Gpw7MYlRBd07s101hRESkE1D46KL++PUfefabZ7Ebdp4951nG5I1JdEkt46uEkrUNx5RUFje+v2GLLJyWPRRft6NZZ/bhv2U9eW97EmtKahvsPrhXGicVdGNU/+6cVNCdvMykDv5AIiJyMIWPLso0TX42/2e8t+k9Upwp/P2Cv3N0t6MTXVbbVZdGZtzUHeC6e1XkXjmNsTkJdBtIsbuAtYEcFpZn8WV5FpvMHGrwxHbrneFhZN9uHJefwXH5mRybn0GqW4uciYh0JIWPLswf8nPHp3ewdNdSeib15MXxL9IvvV+iy7KOaUbuf1M3jOxeHQkp/somDytz5bDJ7M03tdlsCPdmo9mbjeHelBBZS2Rgz1SOy8/g+PxMjsvPYGhuOh6nZtSIiFhF4aOL8/q8TPxoIhvKNtAruRd/Hf9X8tPyE11WxwqHIzNvStbsX6dk/0que9Y23VICVJDMhnDvA4HE7M1mM4cdRi/yenRjaG46Q3LSOCY3nSG5aeSke7TwmYhIGyh8HAH21Ozhlo9vYbN3M3mpebww7gV6p/ZOdFmJEV04LfbYv9R82dYmZ9+ETYMiurM13IstZi+2mDlsNXPY684juddRDMzL5uheaRyVncpRPVPplqJBrSIizVH4OELsrt7NzR/dzLaKbWQnZ/Onc//EUd2OSnRZnUegNjL9t24g2bMOs3QThq+82UOLzW5sNXuxOXwglJjdBpCSM5A+uTkclZ3KwJ4p9M5I0sqsIiIofBxRiquKuePTO9jk3US6K51nznmGEdkjEl1W52aakcGupRvr3S04vGcj5t4N2P3NBxOvmcx2syfbzZ4U2XpRk5yHmdEHV88C0nMGkderJ327J9M7Mwm7gomIHCEUPo4wZbVl3D37br4t+RaP3cNjpz3G+P7jE13W4au6NHK34NJNULqRYMkG/CUbsZdtxu1venxJ1D4zle1mD3aQTbm7N77UPBzd+pLUox/dcgro2as3ed2TyUiK00q1IiJxoPBxBKoOVPPTuT9l3o55APzo2B9xz4h7sNs0o8NSvsrIwNeybYRKN1NRvAn/ni3YvIUkV28nOdR8qwmAz3RSZHZnt9GDcldPfEk5hNJ748jMJ7lHXzJzCuiVk0d2ulpOROTwofBxhAqFQ8xYPoMXV74IwGl5p/Hr035NVlJWgis7gtSWg7eQUOlWKoo3Ur1rE6F9W3BU7iS5dhcZoUO3nEAkoBTTnb32nlS6euD39CSc0gt7eg7ubrmkZOWRmd2Hnj17kepRC4qIJJ7CxxFu1qZZ/HLBL/GFfGR5svjV6b/i9LzTE12WAAR9UFFE7d5Cyoq3UL1nG8F9hRjlO3HXFJPu301muGUBBSIhZQ+ZlNm7U+Xqgd/Tg3BqL4zUXjgzc3Fn9iatRy4ZWbl0z0hXS4qIdBiFD2HdvnU88N8H2FC2AYAbht7A5JGTSXbqDrGdXtBPyLuDfcVbKN+1Bd++nQTLizEqd+GqKSHZv4f0YCnpNL3oWmMqTQ9lRgYV9kxqnJn4Xd0JJfWAlCwcaT1xZfQipVsOad17kZ6VS3JKqtY8EZEWU/gQAGqDtTy57EleWfMKAHmpeTw0+iG1gnQVgVqqSndStruQij3b8e0rIugtxqgqrhdSMsxynARbffpK04PXSKfCnkm1I4OAK4OgKxOSumEkd8OekoUrLYukjB6kZPQkvVtP0jKysDm0lL3IkUjhQ+qZt30ejy18jKKqIgAuKLiAe0+8l9zU3ARXJnFhmgSry/DuLaJ8TzE1ZcX4vLsIVu6BqhLs1Xtx+UtJDuwjLeQlw/TiMkJtulTYNKgwkqk00qiyp1PjyMDvzCDoyiDsyYSkbtiSMnAmZ+BM7UZSajeS0ruTktaNtMwsnC63tZ9dROJG4UMaqA5U8/TXT/Py6pcJm2FcNhc3HHMDPzr2R6S50hJdnnQiZjhMdUUZFXt3UlW2i9qyXfgr9hCq2ke4uhRbbRl2XxlOv5ekYDkp4XLSwhWkGA3vONxa1aabKiOZalsqPnsKPnsqAVc6IWcaYVcapjsDIykdmycDe3ImzpRM3CkZuFMySE7NICU9kyRPMobNZsE3ISKtofAhTVq1dxVPLHmCpbuWApDpzuRHx/6Iq46+SuNBpF18vhrKS0uoLNtDlbeEQMVeglWlhKtKoWYfNt8+HD4vjkAFrmAlnlAlyeEqUswqkg2fZXUETDs1hodqkqi1JeGzJROwJxN0pBB0pGC6UjBdqeBKxXCnYfOkYfOk4vCk40xKw5mcgTslHXdKOkmpmSR5krDbFWZEDkXhQ5plmiZzt8/lqWVPscm7CYiEkOuHXs8PhvyADHdGgiuUI00w4KeqfB+V3lJqKkqpqdiHv3IfwZoygtVejFovhq8Ce6A8Fl7cwUqSwpV4wtUkU0My1gWYerWZNmpxU2O48Rke/IYbvy2JgM1DyJFEyJ5E2BF5mM5kcKVgcyVHHu5UHJ5kHO5U7J5UnJ4UnJ4UXMlpuD2peFLScLs9aqmRLkHhQ1okGA7y7sZ3+ct3f2FbxTYAkh3JfH/g97lm8DW6T4wcVsxQkJrqcqorvNRUeqmt8uKrLidQXU6wpoJQbTnh2krwVYC/ClugEnuwGmewCleoGne4Gk+4Go9ZS5JZY2lrTHPqhhs/bgI2F37DTdBwEbK5CdrdhO0ewvufTUfkYTiTMBweDKcHw5WE3ZWM3eXB4UrG4U6OhB5XEs79P7vcybiSknB7UrFrULB0AIUPaZVgOMinWz9l5nczWb9vfWz7CdkncM3gazin3zm47RoIKEcWMxTEV11BTXUFtVUV+Goq8ddUEKipIlhbSaC2krC/mrCvCtNfhRmowQhUYwtUYwtWYw/V4gjV4AzV4AzX4jZrcZs+PKYPD7VtHtRrBb9px4cLv+HCh4uA4SZgOAnaXIQMJyGbi7DNRcjmJGxzE7a7wO7CtLsx7W4Mhwscbgy7C5xJ2JwubA4Pdqcbu9OD3RV5driS9geiyDany4PT5dkfipJwutxq9elCFD6kTUzT5MuiL3lt7WvMKZxDyIz8xzHVmcq5/c7lwv4XMipnlJZsF7FA0O+jtqYSf00lvuoKArWVBGqqCfhrCPqqCfqqCftrCAVqMP01mIEazEAtZrAWY//DFqrFFvRhD/siYSfsw2H6cYZ9uEw/Lny4zAAe/LiM1k+3jge/6cCPE7/hIICToOGMPYeiD5sT03AQsjkI25yEbU6wOTFtTsJ2J9hcYHOAwxX52e4ChxOb3YnhcGHY3RhOF3a7c39QcmNzuLA7XTgcbmzOyM82hzuyzenG7nBhd3lwOp04nJFnBaXmKXxIu+2q2sWb69/krfVvsat6V2x7lieLs/uezffyv8cpuaeQ5EhKYJUi0lLBQAC/r5qArwZ/bTWB2moCviqCvlqC/mpC/hpCfh+hQC3hgI9woAYz6Ccc8GEGfZHVeUORZyPkwwj5sYX9+58DOMI+bGE/djOAIxzAYfpxmAFcBHBGnwkktMWnvXymgyB2gjgIGA6COAliJ2Q4CBkOwtgiz4aDsGHf/+zAtO3fZnNg7n+NzY5pc+7/ObrNiWFzgN0JNgeG3Ylhd4DdhWG3R8KU3YXNHnnP5og8DLsTe+zZhc3hxG53YHO4sNmd2J2R7Q5HJHw5HE48SanY7Nb+Q1LhQywTNsN8tfsrPtj0AR9v/Rivzxt7z213c0ruKZyRdwajckbRP6O/VsQUkWaFQiEC/lp8tTUE/TUE/bWE/L79P/sIBWoIB3yEAj5CAT/hUIBw0Ec44I+EoZAfgn7MkB8zFIBQAEJ+CAUwQn4IBzDCwUgoMgPY9r+2hwPYzAB2M4jNDOLY/7PDDOIggIMQDjMSJ5wEcR7GIakl1lz4JkNGnWvpORU+pEMEQgEWFS9ibuFc5m6fG1u0LKq7pzsn9TqJk3NOZmT2SAZmDsRh08A2ETn8hENhAkFfJBD5/QSCkTAU9PsIB/2RcBT0Ew76CAUDhIOB/UHJTzgYxAxFXseeg0EIBzBDkfcIByPBKRzADAf3B6YAmCGMaIAKhzDMALZwEMMMYTMj+9nMIHYzhLH/2c7BzyEcdX52EsJBCJtx4Ff+uu+/w9EnnGXpd6bwIR3ONE3Wl61nbuFcFhUt4uuSr/GF6s8O8Ng9DOk+hGE9hjEsK/Lom95XgUREJAHCoRDBgJ9g0Nchs54SHj6+/fZbtm7dyqBBgxgyZEirjlX4ODz5Q35W7FnBkuIlLNm1hBV7VlAVqGqwn9PmpCCjgAEZAxiYMZABmQMYkDGAvNQ8LXImInIYS1j48Pv9XH311cybN48RI0awZMkSrrrqKv785z+3eCyAwkfXEDbDbCnfwso9K1m1dxUr965kTekaaoI1TR7T3dOd/NR88lLzyEvLIy81j94pvemR3IMeST3IdGdiMzTaXESkM2rp72/L276nT5/OF198wTfffEN+fj4rV67kpJNO4qyzzuLGG2+0+nLSidkMGwMyIq0alwy8BIgEkqKqIjaWbWRT2SY2eiPPm72bqQhUUFpbSmltKd/u+bbRczoMB1lJWfRI6kHPpJ70SO5BN3c3MtwZZLgzSHelR352ZcS2ueyueH5sERE5BMtbPo499li+973v8fTTT8e2XX755VRWVvLJJ5+06Bxq+TgyeX1edlTuYEflDnZW7mR7xXZ2VO6gqKqIvTV72efb16bzeuwekp3JJDuS6z2nOFNIciTV2+5xeHDanLjtblx2V+Rhc+G2u3Ha62y3uWLv2w07DpsDu2HHbrPjMBzYbXa10IjIESchLR/BYJDVq1czefLketuPO+44nnvuuSaP8/l8+HwHBip6vZGpnOXl5VaWJ52cgUG+M5/8bvnQreH7gVCA0tpS9tbuZU/1HvbU7mFvzV68fi/lvnLK/eVU+Cso95dT7iunIlBB2AxTtf9/iRANInbs2Gw2HIYDm2GLhRSbzYbdsGMYBjZssa5Jm2HDwIgFmLrvGxj19gNi+xoceD92vFH//YM1tq3xTS2fQt1YF2uj125hV2xLj23x5xMRbjvuNvqm97X0nNHf24dq17A0fFRWVhIKhejWrf5vjqysLMrKypo8btq0aTzyyCMNtvfp08fK8kRERGS/P/CHDjt3RUUFGRlN36DU0vDhdkfu/VFdXV1ve2VlJR6Pp8njpk6dyn333Rd7HQ6HKS0tJSsry9IFq8rLy+nTpw+FhYXqzulA+p7jQ99z/Oi7jg99z/HRkd+zaZpUVFTQu3fvZvezNHwkJSWRk5PDtm3b6m3ftm0bAwYMaPI4t9sdCy5RmZmZVpZWT3p6uv5ix4G+5/jQ9xw/+q7jQ99zfHTU99xci0eU5SPiLrjgAt566y3C4TAAtbW1vPfee1xwwQVWX0pEREQOQ5aHj4cffpjt27dzxRVXMHPmTC666CIcDke9bhURERE5clkePgoKCli+fDlDhgxhzpw5nHHGGSxZsoSsrCyrL9VqbrebX/ziFw26eMRa+p7jQ99z/Oi7jg99z/HRGb7nTnlvFxEREem6tAqSiIiIxJXCh4iIiMSVwoeIiIjEleU3luustm/fzrJly8jMzGTMmDE4nc5El9QlhUIhPvvsMyorK7niiisSXU6XtWfPHpYvX47L5WLEiBEdui7OkSwUCvHtt99SWFhIQUEBxx13XKJL6vI+++wz9uzZw+WXX47LpZtCWunjjz9m377698gaOHAgJ598ctxrOSIGnM6YMYOpU6cyevRotm7disvl4rPPPiMvLy/RpXUpv/vd73j66aex2Wzs3r2bysrKRJfU5QSDQe666y4++OADhg0bRmVlJStXruSZZ57hhhtuSHR5Xcr8+fO56667YosnLly4kIEDBzJr1qxOMXuvK/r444+59NJL8fl8lJSU0KNHj0SX1KWMGDECwzAYPHhwbNvYsWO5/fbb41+M2cWtWLHCtNls5uuvv26apmnW1taao0aNMidMmJDgyrqep59+2iwsLDT/+Mc/mikpKYkup0uqra01Z86cafr9/ti2J5980nS5XGZRUVECK+t6Zs+ebW7dujX22uv1mvn5+eb999+fwKq6rqKiIrNPnz7mr371KxMwS0pKEl1Sl3P88cebTzzxRKLLME3TNLv8mI9XXnmFvLw8rrzySiAyv/mee+7hvffei909V6xx9913k5+fn+gyujS3282PfvSjet2GV1xxBX6/n1WrViWwsq7n7LPPpm/fA3f8TE9PJzc3l4qKigRW1TWFw2FuvPFGpkyZwvHHH5/ocrq0rVu38u9//5vFixfXu5t8vHX5MR/fffcdw4cPr7ft2GOPJRQKsXr1akaPHp2gykSs8dlnn2Gz2Rg6dGiiS+lygsEgb7zxBrW1tcyePZuamhruv//+RJfV5fzmN7/BNE3uu+8+3n///USX06XNmjWLzZs3s2LFCgzD4OWXX2bMmDFxr6PLhw+v19vgX+PR/tqysrIEVCRinfXr1/PTn/6Un/zkJ+Tm5ia6nC4nFArx9ttvU1lZyZIlS7jooovo1q1bosvqUr788ktmzJjB8uXLLb2LuTT0m9/8hnHjxmEYBoFAgJtvvpmrrrqKdevWkZKSEtdauny3i9vtbjDwMfra4/EkoiQRS2zbto3zzjuPs88+m9/+9reJLqdLcrvdvPrqq8yaNYv169ezePFifvzjHye6rC7ltttu4/zzz2fevHm8+uqrzJs3D4B///vffPvttwmurmsZP358LOA5nU5+8YtfsHPnTpYtWxb3Wrp8y8fAgQNZuHBhvW1bt24FYMCAAYkoSaTdCgsLOeussxg5ciSvvvoqDkeX/79ywqWnp3PppZfyyiuvJLqULuX000+nrKyMt99+G4CdO3cC8OGHH5KamqrpzR0oPT0dgJKSkrhfu8v/F+vCCy/kueeeY/369QwaNAiAf/3rXwwfPrzeYDKRw8X27ds566yzOP7443nttde0Zk0HKSoqatCVtXz5cvr06ZOgirqm5557rt7rWbNmMW/ePJ5//nlNtbXQvn37SEpKqtfi/9Zbb2Gz2TjxxBPjXk+XDx8XXXQR48aN46KLLmLy5MmsXbuWl156iQ8++CDRpXU5X3zxBYWFhSxdupRgMMirr74KwLhx49RPbpGqqirOPvtsamtrufzyy3nzzTdj75166qn069cvgdV1LZMmTSIzM5NTTjkF0zSZNWsW8+fP56OPPkp0aSKtVlhYyPXXX8/ll19Ov379WL58OTNnzuTnP/85BQUFca+ny4cPwzB49913+fOf/8yiRYvIzMxk8eLFjBw5MtGldTlLliyJdXFNmDAh1ow6atQohQ+L+Hy+2L9SDp4VkJ+fr/BhoTfffJM333yTuXPnEgqFOPfcc/n73/+uBcY6WF5eHtdcc01Cb/feFR133HF89NFH/P3vf2f+/Pnk5eWxYMGChLR6wBGywqmIiIh0Hl1+touIiIh0LgofIiIiElcKHyIiIhJXCh8iIiISVwofIiIiElcKHyIiIhJXCh8iIiISVwofIiIiElcKHyIiIhJXCh8iIiISVwofIiIiElcKHyIiIhJX/x9btLGkMHY0FwAAAABJRU5ErkJggg==",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "r = np.linspace(0, 5, 1000)\n",
        "\n",
        "plt.plot(r, 1/r, \"-\", label=\"1/r\")\n",
        "plt.plot(r, M(r), label=\"M(r): mollified, erf\")\n",
        "plt.plot(r, W(r), label=\"R(r): residual, erfc\")\n",
        "\n",
        "del sigma\n",
        "\n",
        "plt.legend(loc=\"best\")\n",
        "plt.ylim([0, 10])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "ff1ceca9-d1be-4e19-9d27-b1e81fdc2aae",
      "metadata": {},
      "source": [
        "Observe decay past $6 \\sigma$:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f0aef522ba0>]"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "r = np.linspace(6, 10, 100)\n",
        "\n",
        "plt.semilogy(r, erfc(r))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "class FourierQuadrature:\n",
        "    def __init__(self, *, period, n):\n",
        "        self.h = h = 2.0 * np.pi / period\n",
        "        self.modes = modes = np.arange(-n, n + 1)\n",
        "        self.kx, self.ky, self.kz = np.meshgrid(h * modes, h * modes, h * modes, indexing=\"ij\")\n",
        "        self.k = np.column_stack((self.kx.ravel(), self.ky.ravel(), self.kz.ravel()))\n",
        "        self.weight = (h / (2.0 * np.pi)) ** 3 \n",
        "        self.k_mag = np.linalg.norm(self.k, axis=1) \n",
        "        \n",
        "    def __call__(self, targets, k_values):\n",
        "        return np.real(np.exp(1j * targets @ self.k.T) @ (self.weight * k_values))\n",
        "    \n",
        "    def plot(self, values, z_mode=0):\n",
        "        z_idx, = np.where(self.modes == z_mode)\n",
        "        n_modes = len(self.modes)\n",
        "        \n",
        "        myslice =  values.reshape(n_modes, n_modes, n_modes)[:, :, z_idx] \n",
        "        \n",
        "        ax = plt.subplot(121)\n",
        "        plt.imshow(np.log10(1e-15 + np.abs(myslice)))\n",
        "        plt.colorbar()\n",
        "        ax = plt.subplot(122)\n",
        "        plt.imshow(np.arctan2(myslice.imag, myslice.real))\n",
        "\n",
        "fquad = FourierQuadrature(period=8, n=48)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "np.float64(inf)"
            ]
          },
          "execution_count": 9,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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VD4CVK1du9j3feecdXn75Zdq0aQOQrZgMHTqUUaNG8fDDD2/wunPPPZfHH3+cF198kZ133jm7v7y8nG+++abe+atXr86JfX0TJ07k/PPPz/5dWVmpBESkhVDyIRJB+Wx2KS8v3+gH+NZ6/vnnc/6eP38+PXr04MUXX9zgUFuA888/n7/+9a9Mnz6dvn375hzbc889qaysZPHixXTu3BmAL7/8krVr17Lnnntu8H4baz4SkehTs4tIBJk8NLk05SRj/8uFF17IPffcw/Tp09l3333rHR80aBDt27fnj3/8Y3bfLbfcQvv27XP6hohIYVDlQ0QazLZtEokEtl3/+8wDDzzAjTfeyPe//31uu+22nGO33noriUSC4uJi7rnnHsaMGcOcOXMAmDt3Lg8//DBFRUVN8hxEpOko+RCJIANsYuDJZt+jqey6667U1tZu8FifPn24/fbbN3jMcZzs70OHDuWzzz5j5syZADz44IO0b98+77GKSPNT8iESQQEWVgNnKG2qGU7/l969e9O7d+/NOrd9+/aMGTOmkSMSkeam5EMkglrawnIiIltii5OPGTNmMGvWLNLpNPvvvz+jRo2qt4rlqlWruPfee/niiy/o0aMHJ598cr0ZDkVERGTbtEWjXX74wx8yefJkAIqKijjnnHMYNmwYvu9nz1m2bBl9+/blqaeeokOHDtxzzz3079+fqqqq/EYuUsDyOcmYiEjUbFHl4+abb85ZvXLMmDH06tWLf/7znwwfPhyAq6++mtLSUp5//nni8Tjjx49nt9124+abb+bSSy/Nb/QiBcqYPHQ4bcoepyIiW2CLKh/fXTa7e/fuxONxli1blt331FNPcfTRR2fXgCgvL2fkyJE89dRTeQhXREREWroGdTidNm0anudl13yora1l8eLF7LLLLjnn7bLLLhtdbhu0QJTId6nDqYgUsq2e4fTtt99mwoQJXHrppfTs2RMguwDUdxeIKi8vp7q6eqP30gJRIrnqko+GbiIiUbRVycf777/P4YcfzoknnsiVV16Z3V9aWopt26xZsybn/G+++WaTa0tMnDiRioqK7LZo0aKtCUtERERagC1udvnggw8YPHgwo0eP5tZbb805FovF6NGjBx999FHO/o8++qhef5H1aYEokVyBsbAaWLnQaBcRiaotqnx8+OGHDBo0iNGjR/OnP/2p3vweAGPHjuWhhx7KLs+9YMECnn32WcaOHZufiEW2AXWjXRq6iYhE0RZVPo444ghqamoIgoCzzjoru3/EiBGMGDECgIsuuoiXXnqJfv360b9/f2bNmsWgQYMYN25cfiMXERGRFmmLko9JkybheV69/R06dMj+XlJSwowZM5g5cyZffvklP//5zxkwYEDDIxXZhoSVi4aOdslTMCIiebZFycepp566Wec5jsPgwYO3KiAR0VBbESlsWlhOJIJMZmvoPUREomir5/kQERER2RqqfIhEkJpdRKSQKfkQiSK1u4hIAVOzi4iIiDQpVT5Eoigfa7Oo2UVEIkrJh0gE5WOGUs3zISJRpWYXERERaVKqfIhEkEa7iEghU/IhEkXGanifDSUfIhJRanYRERGRJqXKh0gEqcOpiBQyJR8iUaRJxkSkgCn5EIkgdTgVkUKmPh8iIiLSpFT5EIkqNZuISIFS8iESQWp2EZFCpmYXERERaVKqfBQyywLLxnJssG0sxwn32RZghb9jMuV9A4GBIMAEAfiZnybQmM3moNEuIlLAlHwUIssCC7AdLNvGcl1wbHBdLDtMRLAy58G3k0oEBuP7WJ6PsX0s38f4QBDwbZIiTSOTIDb4HiIi0aPko1BYYSXDisexXAcrnoC4C/E4xByM40DMIbBtcCxMXYICYMAKwuTD8gPwfOy0B14AySR4HqY2ifF9TDqdqYY067OViEilUjz55JN8/PHH9OzZk6OPPhrX1duKiGya3iVaOivzP46D5ThY8TjEXCgugriLScQxMQdcB+M6GMfC2Na31RHIlPgNVmCwvADLCyCTfFiOFf5uwPI8MCbTLOOrOaYxtYBml8WLF3P44Yfjui6jRo1i+vTp3HHHHUyfPn2T161evZrKykp22mknEolEvePffPMNxhi23377xgpdRJqZko8WznJj4DjYpa0gHoPSEkzcxS+OE8SdcItZGNcmcC2MDcYGrPB3DFjZ5AMs32D7BjsdJiJObQlWOsCuTmKlPayqakilCdatA9/HeF4zvwIFqgUkHyeeeCLbbbcdM2bMIBaLATBv3rxNXrNy5Ur22WcfvvrqK15//XX69++fPbZw4UKOP/543nrrLQD69evH/fffT7du3RrtOYhI89Bol5bKzvThSMSxioqgpAhTUkTQKoFfEscvieGXuHglTmaz8UosvGJ7vd+tb38W2+sdC68Jr3fxW7kEJXGCkgQms1lFibBJx3EyHVhlW/Lhhx8yY8YMLr300mziAdCrV69NXnfyySdzxBFH1NtvjGH06NGUl5ezevVqVq9eTWlpKaNHj8aowiZScFT5aKGsRAIrFsNqUw6JOH7rEkzcwSuN4ccs/GIbP2YRxCyCGAQOBC5gZ6of6/dnzFQ/6ioflg+2B7ZncJIOtmdwS2LY6QC3OI6d8rCLirBqkpjKSkwqjUkmm/HVKEDGyvwjNfAeQGVlZc7uRCKxweaOLTFnzhwA9tlnH6ZOncrKlSvp3bs3o0aNwnGcDV7zu9/9jurqai644ALuvPPOnGNvvPEGb7/9Nu+88w4lJSUAXHPNNey///7Mnj07p0IiIi3fVicfy5cv57HHHqN79+786Ec/yjkWBAEzZ87kiy++oEePHgwYMKDBgUpGXd+O4iJIxAlaFWGKYmF1Im6TLrEJYhZeUSbxiIdJR+CAyWl2yWx1XyqzyYcVNr14YHsWxgkTEbCwPRuMix2zcP0AywbLKwG7Nhyi6/uZkTHSUPlc1bZLly45+ydNmsQVV1xR7/xJkyaR3EQS2bFjRyZMmABARUUFiUSCoUOH0q9fP9q3b88vf/lLrrvuOmbNmkVRUVHOtW+99RbXX389c+fOZe3atfXuPXfuXIqLi9lnn32y+/bbbz+KioqYO3eukg+RArNVyYcxhhNPPJGXX36ZYcOG5SQf1dXVHHHEESxcuJDvf//7TJw4kf79+/Poo4+qF3weWPE4diIBrcuhOIG3XTFBwiFV7hLELNKtbIIYYfLhQhAD44LJVD6MbcCu/6XaMkAm+bB9C8sDywcnFSYhftzCTkPg2thpF1wHuyaG67hYa2NYlkVQU4NJpprldSk4eezzsWjRIsrLy7O7N1b1aN26NanUxv/9ysrKsr+XlpaSTCYZN24c55xzDgDnnnsuu+yyC/feey9nnHFG9ty1a9cyduxYbrnlFjp37rzBfiErVqygbdu29fa3bduWFStWbDCeZDKZkyx9t8IjItG1VdnADTfcgOM4DBo0qN6x66+/ns8++4z33nuPHXbYgQULFrD33ntz55135rwhyRZybCzHxSophuIigtIEQXEcr5WLnwj7avgx8IrJJB9gYiZscskkH8Y1YdLhmNwpIDIfdFZgQWAIfAs7k3wYB2w/HBljpQEsnBRYvoNjZ5ppCLCNwTLhXCDG81QBiZDy8vKc5GNjzj///M2+Z+/evQE44IADsvt23HFHunXrxvz583POveCCC+jZsyf7778/Cxcu5KuvvgJg6dKlrFixgnbt2mHbNt4GOi+n0+mNNuNMmTKFK6+8crNjFpHo2OIOp3PmzOGWW27h7rvv3uDxBx98kJ/+9KfssMMOAOyyyy4MHz6cBx98sGGRbuMsxw37ebQqhrJW+OXF+OUJ0qUu6VKHVKlFutQi3SrcvFaQLgGvBLxWBq9VgF8S4LfKbOv/ntnCc8JzvVYmc214n3SJhZe5d6qVTbrUIV3m4pUlCMpLoKwVVkkxViIRdoaVhqnr89HQrZEceOCBdOvWjZkzZ2b3LVq0iM8//5y99tor59zVq1fz4Ycfcthhh3HYYYdx4oknAnD22WczadIkADp37syqVatyEpB0Os3q1avp1KnTBmOYOHEiFRUV2W3RokV5fpYi0li2qPJRWVnJsccey9SpU2nfvn294+l0mk8//TT7rahO7969eemllzZ6X5VPN8Gysn08rFatCMpKCEqL8Epd/CKHdGnYJOKVhB1LvZJMtSNhMLFwwzVYjsFyAyzbYNkmM7t6WJc3xgorFoGF8S2Mb2O8zO+uheWHU7Lb6TAeO2awjEXg2lgBGCuGZQxWUIJtWVhBkLmfp8nItpJVNwS6gfdoLI7jcPfdd/OTn/yEuXPn0q5dOx5//HGGDBnC8ccfn3PuI488kvP3vHnz+N73vsfjjz+e7ctx6KGHkk6neemllxgyZAgA06dPx/M8Dj300A3GkI+OsyLSPLYo+Tj99NM54ogjGDFixAaPr127liAIaNOmTc7+7bbbbpMJhcqnm2CFE4gRj2eG08YJSmJ4xQ5+kR327Yhb+EVhc4ufCJtb/CIDMYOJBdhugOUYbDfAtgNs22QmRA0/nYLAynRwtAl8i8A3BF6YgFiWDR4QhJ1PCcC2LSzPgGXheTaWcbD9OG7KBx+s6tqw6SXlo+yjcB122GHMmzePZ599ltraWo499lgOOeSQrbpXz549OfbYYzn77LP5y1/+AsD48eM57rjj6NGjRz7DFpEI2OzkY8aMGTz++OP85je/YerUqQB8+eWXuK7L1KlTOf744ykuLgagqqoq59rKysrs8LkNmThxYk57c2VlZb0e+tsky8KKxbBLW2HKSgjKi0mXxfFbOaRLw8TDa2XhxyHdymBi4BcHEDNQ5OO4AXbMJxbzcZ0A1/GxbYNrB9iWyal8BMbCC2z8wMbzbTzPwfMc/JiD8SwC2yHwLIxlY6fBwgqrKibchwH8OK5lYSWT2LZFEPiYtCYh2yotYJIxgA4dOjBu3LgtuiYWi9G1a9d6VYu77rqLq666ivPOOw+AsWPHcvnll+crVBGJkM1OPrbffntOOeUUPvnkk+y+iooKXNfl3Xff5ZhjjqGsrIzOnTuzYMGCnGsXLFjAbrvtttF7q3y6MZlp0+NxTDxGkIgRxB38uI0fD4fR+nHC4bTxsOJh4gZiAXY8wHZ93JhPPOYRcwJijo9jhT8ty2Q7/ARYBIFFOpN8pB0nTExsE+YUto3xbbAhyFQ8/BQQWNhxg+1b+GkbJ+EQpA1OPAZpH2wn02tV1Y8tlsd5PqKme/fuLFy4sN7+oqIirr32Wq699tqmD0pEmtRmJx99+vTJVjzqjBgxgqKiopz9I0eO5NFHH+XSSy8lHo9TWVnJU089lZ0fQDaTbYeLxBUXYcpa4ZeF/Ty8VnbYobQE/ISV7eMRVjwCrJJMwlGUJuH6JGJpilyPuONR5Hi4dkDc9r6tfBgwWPjGJhU4pAOHlO9QG4uR8h2q3ThpzyFphU0xAS4mZWEFNsbJjJCxyAzTdQELq7YYx7axamoAMKmUEhAREcnK+8Qbl156KU8//TRDhgzh8MMP57HHHqNdu3ZKPrZUpqMpMRcTdzExhyC2/qyl1rdzeMTC/h3EDHYswHF9Ym5Y8SiKeRQ7aRKOR5GTxrUDEnXJR6YuX5d8xAKHVODgWC4WYFsGLwjrI14sHO7ouwZjwuG7VhD2MwnShPG4FkHMDuNNBeH0746nXh9bo4U0u4iIbI0GJR/Dhg2rN3HYTjvtxDvvvMM999zDl19+yUknncTJJ59MaWlpgwLd1li2jVVcnF2vxWvlZtZdsTNrsYCfMPjFhiBusIp97JhPcXGKhOtRmkhSEktT4qYodZMUOWmKnTQxyydhp7Etg535dAoyyUcycEkFLsnAZZ2XoMaP4do+ST+GZRnSrkuNCRep830L42RGwmBhmXAyMsvYODUxLANOSWaWy2Qt+Pok3CJKPkSkgDUo+Tj77LM3uL9t27ZccMEFDbn1ts0inCsjFs4kalw7XJXWsTBu3aRhJqx6uAacAMsJcDKdSmOuT8L1SDhpit0w6Shy0pQ4SeKWH1Y+CHCssE9HYCw8HFwrwLXCzqi+CVOTlOsAFjHHxRgL2w3C0TGuAR8Cx2A7EDiZyocLJmZhYjbGdbFcFywb0KRjIiIS0nznEWTZDrguFBdhiuP46w2r9RLhcFo/AX7cYOIBxANiCY94zKM0kaLYTdE6XksrN0mZm6TMraXYTlHq1BK3fIrsNA4BjuUDFp6x8YxDyrjUBDFqgjhx26PGj2NbhhrHwzcWtU5A2nPwLEPKswmwsdLgB2B54NdNxV7khFOzFycgMFiuG65M6vvN/dK2HKp8iEgBU/IRNZYVdjZ1bHBsjOuEVQUnnGfDOOHCcMYBHMAx2I7JVD0C4o5PwvGzzSzFTopiO0WJnaKVnSJueRTZKRwMruWHo1mMQ9rYuCaGjcGCTOXDosh3CYxF3PEJjI3r+JjACqdod0xYgVkvtnARu3ByMuPaWK4TPh/LxqDkY7MV8GgXERElHxFkuS64YUfTIOYQxG2CuJVZpyXzM2YIYgYrFs7lkYh5FMXSFLupbD+PMreWcqeW1m41rewkpXYtCcujxE7h4ONaAQbwjINnHGpMjBo7TTwI+4Q4foDv2ji2ocaPYQFFsfBnMuZiAghiNrYXrpgbdoI14aRn6bqOp35Y+QgC8NLN/Mq2HFGf4VREpCGUfERNpvKB44DrgGvlVDvqfscG7HDadNsxOHaAawfEbJ+47ZGwPRKZKkeRlabYStHKTpKwPFpZKVzL4FphP4y08UkbG9sE2IHBWBYpK4Vv21TbaTxjE7d9PNvHcQIcP5wlNbBNGNf6sWVjDTuk4oYVHMu2wy/i+kAUEdnmKfmIokziYRwb49iZZhfWa3oJmzvCJpdwynQ3M4lYwvHDYbV22ORSYqcosZOU2ClK7SRFVppSK41rGeKZDqdpY5EyNo7xsTEEWKSNQ4BNkRPHxyZhe3iOTcz28R0b2wky8YXNLoFjss1DYZwG4zoYx8F2HIwWm9sy6vMhIgVMyUfUWGDZFsYOKwfGtsKKQV2FwTaZqke4WZbJTpnuWnWVDz/8aWWqIJZHwkpTbHkUWz7ltkXMsiiyHAxQa3ySBkzgE1geaStNre2RMh5xyydlhfeLBT6uHeDY31Y+qNuszGRjVl2cVhijk6nk2JmD+kQUEdnmKfmIonDVN7CszId45mfdh7sFJjP9uWWHk4HZVpgU1A2XdS0/3PCJW15m80lYPiWWQ8JyKLKKMQQ41GLjk8wkGnHLJ4ZHLHOP8GfYrONYJjs7ajgFeyaeTGJUl3SEMVqY9Z6LiIgIKPmIoPU+rNdLNtjQBtkk4NvcJJy51MbgECYiTiYhiREQsyBhucSdnbDLfgHBaoqqbiFgHTGSxKxwCK5T95Mg+xgWdY9lcham4zt5RV2l5tvnYNU/STbJIg8dTvMSiYhI/in5iDQr+6Puc8h857CVPS0cHhEmCd9+5tclIxZhghK2hFg4VjFWfB/wl+FYMRxjhQlMtlUns/CctcGcZ73wvpOAWBuOU5+EW0hDbUWkgCn5iCJDuBCbCRd+I8h8Czbf/qw7LzBgjJXdAmOFq9Ri4WdmLvUzQ2nTxiIN1BqPwFtM4pvzMaRIBZXUGo+UsUibzKRjOHjY4f2MRUBm9dvvPF42M1ovpuww0br4656LiIgISj4iKPeD2jIGy5h632KtutOMlfmMXy/5yCYMYfLgE26esfGsgJQJsKwaHO8jDIYUadIYPCx87HAz4XovAXYm6cgkHJnl6Iypn3Sw/r7sU1gviZLNp9EuIlLAlHxEjQFMAH6A5Qfh9OQBWIHB8sOF3KzAgG+BbxEEFkFgk/ZtUrZDKnBJBT5JE6M2SFNrh9Ol25YhYXz8AMDDJRwFY4CUgaSxWWdirAtiVAdxak08cw+XZBDLLDjnkPbDLXzcMAbLJxPjt5sdgOUbLN9AEITPSTafkg8RKWBKPiLIBJlqQWDCpKPuQ72u6SUgW2kwJkwCfGMTGDuzTotNOrBJ2w5p45IyLnHjkTQuFgbXGFwMPgEGKzvPR9K4JDPnp4xLKnAys5/aeIGDb8KKSF1lhcDKxBT+XD/5qIudwITPJ8jHp6mIiBQCJR9RYwx4HqQ9rLSPlXawfIPtWdhe+DPwLCwvs8KtZ+NbhrTvkLQCar0YjhVQ7MdxLBMOjSUgyDTLxG2PWpMKh87iYzLNMWkcaoMYNSZOdZCgyi9iXZBgnZ+g2o9T48eo8WKkfJe07+B7NsazwbOwPLA8C9sjE2O4hfF74HkY31fusQU0vbqIFDIlHxFkggDL97E8H8sPwg9yv67ZZb0Kgw/4Fsax8X0bz7ZJBQ4x3yUZuMQCn3gQI27Fw6G3VoAX2GARDr8ls7YLYXWj1sSpyTS71AQxav0Ytb5L0g+rIOnAwfPDxzKZZh8rsNaLy4Q//bp4w6Yj4wdh04tsPjW7iEgBU/IRNcaA52O8sGpgpVzsVICdtrBTYKdN+HvawtgQpG18C5IpF2OgJuYBEHP87GiUwFikHJe0cYjbPjVWGjtT+QALj7CpJhnEqDVh8rHWK6I6iFPlFVHjx6lOx6n1XJJpl3TaxaQd8GycdF3FA+x0ZksZnFSAlfIg5WHqKh+y+ZR8iEgBU/IRQcaElQ9S6TD5SAc4KTvb7GJ7YHlgO2ETDJaF79l4lkMyHfbrqHFimbk9wvEpgQmna48FHinbCVetJaxG+JnkIxWEHUxrgjhr/QQ1foxqL2xyqfVckp6L5zn46UxzS9rCSq+XdKTBSZswQUoFkPIgnYbAV+VDRESylHxEURCA70EyhRV3cZIBfiJMQJyURRADOxXOCGalbAzgpx0AatIxAmPh2JmEIzPnRyrT+TRm+STsdDhLaearcZDp9xGOaAlHt6zLJB1rvQS1nkt1Okbac0mnnLDqkbaxMhWYb5OPMPFwUgF2ysdKpiCZyvT30NfwLaE+HyJSyJR8RJQJAkwyBXEXqzaNE7dwihycpCFwwImHFQ87ZTDGJojZBAEkHRcTWNiWyY6C8QKbhB2j1klnFp7zcKy6GTvITEhmZ4bpOiR9lxo/Tq3vsjaZIOk7JJMxPM/BpBxMysZOWthJCycJTtLgJMGtNbi1BrvWw6pNh/GnUir/bw3NcCoiBUzJR1QFJvzgTsawUx52yslUFCycmIWTBmzwU+Hso6TDycC8tAEsLNtkqx7r9/lwrYCE42Hz7dosQWZCsXTgkArCuUJqPJeUH1Y8Ur5DKu2GI1xSNqRt7NR6FY8UOKmwr4edCrCTHnbSw6TSYdOLqh4iIrIeJR9RZQwmncaqTcLaamwH3JhD4IYVjyAGBBauaxH4BuPYGM8QWA5e2sIEFr7nkPIckq5LzPGJO3FcOyBm+98uDGfIJijpwMEL7HDYrueS9hySqRi+Z+PXupi0jV0TNrc4teAkLdwaMpvBrfZx1/nY65KwthZTm8SkU0o+toY6nIpIAVPyEVXGhH0lPA8rmcJKxrCTflgBidlhtcEGP51pfklDAJiUnelcGn7m100K5gVh84ttm/WSj7qHyqwDE2SG7AY2qXQ4n4eXdgjqKh6ejZW2M9UOK9vPw0kbnNS3fT1IpsOqja+OpltLfT5EpJAp+YiyTPXDVK0F28KxHVwnnOPD2C5eOmzW9+OZNVdi4AUOxjUEnoUfs/FjAZ7rYDsBjhtg2wbHDsIVb+uaXYL11oXJzOMRePa3SYdvYdfY2GkLpyZMPGLrwr4e8SqDWx0QW+vjVqZw1iYxVesw1TUYT00uIiJSn5KPqAsCjOdhpdKQTGMnYxBzsFM2jh2OfgFDkA6TB9sNR7lYjoUxdrgYXGARuDZBEGDZBvs7yYdZb5p244drxZh0OJGYlbbD2UtTmfk8UmF/k3AuD7IVDyfpYyXTkExBOo1JK/FoEDW7iEgBU/IRdUEQ9ptYV43l+9gE2KlwZlI/Gf7z+fFwNdkgFk5zHsTAT9mYGAQxg3FtjGPwXQMW4GR+WnWrzVphm00QrteCn5ku3Q9HtNg+ODVhM4tbbbDTEK8yOMmAeJWPsy6NW5mENWsxa9dhamowXloffg2Rh2YXvf4iElVbnXwsXLgQy7Lo2rXrBo+vXr2ar776iq5du1JeXr7VAQrhh4jvh6NHalNYjotdG/7TOQkLjI0bt/ADME7mQ8u2CAIDgYXxwbgWxjdgg7Hrko/17m/A8sMkxArCycMs38JJhYmIkwxnMXWS4URi4fDaAKfWx65NY9UkM0Nr0+F06vrgExGRjdji5OO1117j1FNPZeXKlbRt25a2bdvywAMP0KVLFwCMMZx33nlMnTqVzp0789VXX3HJJZdw2WWX5T34bYlJpzFeGtsCkilcYzDFCSwDfsLB9l38ODhpGz8GftIiiIVVkMDNdEB1DMYGY7Ph5CO7ZkxmFlUf7CTYfqbi4UFsXYCTMsSqPOxaD7eiFmttNVRmKh7JWiUe+aBmFxEpYFuUfHz66acMGTKE8847j6uuugrbtpkzZw4LFy7MJh+33347d999N2+++SZ77bUXs2bN4oc//CF9+vRh5MiRjfIkthmGsC8FFtTUgjHYCQd8l8AFywsXjbO8cIn7wAsnSrVdi8DJVD9ss+nkI7NIXJh8hP06bC8cSmt7YedSO+XjVKexatJY68IhtaSS4YPpAy8/lHyISAHbouTj2muvpUuXLlx99dVYmXGaBxxwQM45t99+O0cffTR77bUXAIceeiiDBg3ijjvuUPKRByaVwqRS2CaAWBwnMDiJGLZXQhB3cNIuQczGKworH37cInANgVuXfIQL0sG3E2Ba36l82H7Yr8PywxEttmeIVQfYaYO7No2V8nAqaqA2iamoxCRTmGSy2V6TQqShtiJSyOwtOfmFF17gxz/+MZ7n8eGHH7JixYqc477v895777H//vvn7D/wwAN5++23Gx6tZJm0h0kmww6eVeuwK6txKmtwK1O4VSlia31ia33ia31i6wLiaw2xtQGxtSbc1m1ky54TdiaNV/nEqjzcqhROVRK7shq7sjocTruuOkw8tGLtNunVV19l4MCBlJWVUVpaysEHH8zMmTObOywRaQE2u/JhjGHp0qWsXLmSnj17UlRUxFdffUXfvn2577776NKlC1VVVaTTadq2bZtz7Q477MCqVas2eu9kMklyvW/OlZWVW/FUti0mnQ5XjPUDLNfB8gKseAw7HWDiLkHSEMRs/LhNELcxrkXgfNvsYiwrm3paAWBMptmlrvJhsLxMh1IvwF6Xwkp7ULkOUmmCtWvB88NRLbLNWbNmDcOGDeOEE07g6aefxrZtLr30UoYPH87ChQtp165dc4coIhG22cmHZVk4jsNjjz3GG2+8Qa9evaioqGDIkCGcfvrp/OMf/yAWiwHkJBIANTU12WMbMmXKFK688sqtfArbNuN7YALM2rVYMRe8NMRc7JoEVtzFjrsEcSecfj1mY2wLHCtscqmb4jQwYZk/MOAbbC/ASvthQlObDpOO6mQ4aVh1Dcbzw+RH83g0noj3+fjss8+oqqrirLPOonXr1gCcc8453HLLLXz66acbTD7WrFnDtGnTmDdvHrvvvjunnXYaJSUlOee88MILPPPMMwCMGDGCH/3oR433JESk2WxRs8vOO+/M4YcfTq9evQBo3bo1J510ErNmzcIYQ6tWrdh+++1ZsmRJznVLlixh55133uh9J06cSEVFRXZbtGjRVjyVbVRmEjJTU0Owdh1UVEHFWqw167DXVONU1BJbkyRWkSRWkSJemSZWkSZe4RGvSIdbpUcsuz+FW5HErUjiVNRir1mHVZG5b+VagnXVmNpaTZ2+jdtrr73Ye++9+cMf/sCKFStYuXIlv//979ljjz3Yd999653/8ccf07t3b55++mn23HNPli9fzrBhw3LOuf766/nJT35CeXk5rVu3ZtSoUdxwww1N9ZREpAltUYfTIUOG8MEHH+TsW7ZsGdttt122A+rgwYN59tln+dWvfgVAEAQ899xz9d5o1pdIJEgkElsau6zPGAgCglQKy0uHHUBdB8txIeaA42C5LtgWlm2HVY+c0S7h9fhBpjnFAz8Im1X8IOzXYQwYzeHRFPLZ4fS7zZgb+/+b7/uYTVSz6qqfAPF4nEcffZThw4fTvn17AHbddVeeffZZioqK6l17/PHHs++++/L0009n3yuWLl2aPb5y5Uouv/xybr31VsaNGwdAp06dOO+88/i///u/ek25ItKybVHl41e/+hUffvghF110ES+//DJ/+tOf+N3vfscFF1yQPefSSy/lzTffZMKECbzwwgucdNJJrF69OuccaSTGhJOR1XVGra4NO4WurYaqdVC1DquqOrN99/fwb6rWwdpMZ9J11Zia2jCR8byw2qHEo+mYBm4ZXbp0oXXr1tltypQpG3y4tm3bUlRUtNHtwAMPzJ67YsUKBg4cyJAhQ1i9ejVr1qxh1KhRHHrooSxbtiznvnPmzOGdd97h4osvziYeADvttFP29+nTp5NOpznmmGOy+8aOHUsymeSFF17Y4pdORKJtiyofXbt25Y033uA3v/kNv/71r9lpp5249957Oeqoo7Ln7L333rzyyiv89re/5YorrqBHjx689tprm2x2kUZiAkxgIOWHHUxTqXD/eh8Aueebb3+u/7u0aIsWLcqZZXhjVcY1a9Zs9j0fffRRvvnmG373u99l+3P99re/5fbbb+fBBx/kvPPOy577zjvv4DgOO++8M5MmTWLVqlXssccenHzyyRQXFwMwf/58tttuu5w4W7duTZs2bfjss882GIM6qou0XFs8w2mPHj248847N3lOv379eOCBB7Y6KMkjJREtUx47nJaXl+d9iYNYLIYxJqeZpu7v73Yur6qqIhaLccQRR3D00UfTo0cP/vKXv3DLLbcwd+5cSktLqampoVWrVvUep6ysjJqamg3GoI7qIi3XFjW7iEjTqOvz0dCtsQwZMoREIsE555zDsmXL+Prrr5kwYQLGGI444oicc1u3bk1tbS0XX3wxV111Feeeey4vvfQSX375JdOmTQPCBGlDlZfVq1dnR9N8lzqqi7RcSj5EZIvtvPPOPP/88yxYsIC99tqLPfbYg48//ph//etfdO/ePefcutmO99xzz+y+7bbbjo4dO7J48eLsOZWVlTkJxBdffMHatWtzrltfIpHIVnUao7ojIo1nq1e1FZFGFPF5PgD69++/WZ1BDzjgAHr27MmTTz6ZHYb7/vvvs2DBguxsyIMGDWLHHXfklltuyQ6vvfnmm9lxxx35wQ9+0HhPQkSahZIPkQgqpLVdbNvm/vvvZ/jw4cyYMYMddtiB6dOnc9ppp3HkkUcCUFRUxLRp0zj66KOZPXs2AO+++y6PPvroBofuikjLpuRDJIpaQOVjS+y333589tlnzJw5k2QyyXXXXUePHj1yzhkyZAgLFixg1qxZQLgopeb3EClMSj5EpEmUlpYyYsSITZ7Ttm3bnKH7IlKYlHyIRFGBVT5ERNan5EMkggqpz4eIyHdpqK2IiIg0KVU+RKJIzS4iUsCUfIhEkZIPESlganYRERGRJqXKh0gEqcOpiBQyJR8iUaRmFxEpYGp2ERERkSalyodIBKnZRUQKmZIPkShSs4uIFDAlHyJRpORDRAqY+nyIiIhIk1LlQySCrMzW0HuIiESRkg+RKFKzi4gUMDW7iIiISJNS5UMkgjTUVkQKmZIPkShSs4uIFDA1u4iIiEiTUuVDJKpUuRCRArVFlY/q6mp+/vOf07FjR2KxGDvvvDMTJ07E87yc8+6++2523XVXXNelV69ePPHEE/mMWaTg1fX5aOgmIhJFW5R8/OpXv+KJJ57gH//4BzU1Nfztb3/jT3/6E9dff332nOeee47TTz+dyZMn880333D22WdzzDHHMHfu3LwHLyIiIi3PFiUf7777Locffjh9+vTBdV0GDBjAwQcfzLvvvps958Ybb2TkyJEcd9xxlJWVMWHCBPbdd19uvvnmfMcuUrhMnjYRkQjaouTj+OOP55///Cdz585l3bp1vPTSS7z++uscd9xxABhjeOONNzj00ENzrhs0aBCvvfZa/qIWKXBqdhGRQrZFHU7PPPNMPvnkEw444AAAbNvmmmuu4Sc/+QkAVVVVVFdX065du5zr2rdvz9dff73R+yaTSZLJZPbvysrKLQlLpPBoqK2IFLAtqnxceOGFPPHEE7z55pskk0lmzJjBb3/7W373u99t8rogCLCsja80MWXKFFq3bp3dunTpsiVhiYiISAuy2clHEATceuut/OIXv6Bfv37E43EGDhzI6aefnu3PUVZWRqtWrVi+fHnOtStWrKBDhw4bvffEiROpqKjIbosWLdrKpyNSGNTsIiKFbLOTD8uycF0XY3Lf0YIgIBaLZc856KCDmDFjRs45L774IgcddNBG751IJCgvL8/ZRLZp6nAqIgVsi5KP0aNHc+ONN/Lvf/+bqqoqXnjhBf7yl78wevTo7HkXXnghzz77LHfddRcrVqzghhtu4L333uMXv/hFozwBERERaVm2qMPpH//4R6688kpOOukkvv76azp16sS5557LxIkTs+cMGTKEe++9l6uvvpqf//zn9OjRgyeeeIK+ffvmPXiRgqUOpyJSwLYo+SgtLeWGG27ghhtu2OR5xx13XHb4rYhsOa1qKyKFTGu7iMhWW7ZsGQ888ADpdJqLLrpog+fMmzePf/zjHxhjOOKII+jdu3cTRykiUaNVbUWiqAV0OD3llFPYf//9eeihh3KWWFjfAw88wD777MNbb73Fe++9x7777ss999zTuIGJSOQp+RCJIMuYvGyNacyYMXz++eeMHTt2g8fXrVvH2WefzeWXX859993Hvffey1VXXcWECROoqKho1NhEJNqUfIjIVhk6dGh2mP2GvPjii6xZs4b/+7//y+4bNWoUVVVVPP/88xu9bsWKFaxYsSKvsYpItCj5EImiPDa7VFZW5mzrL2XQmD755BNKS0vp0KEDDz/8MF26dOGggw7CsixOPfVUHn744ZzzP//8cw488EC6du1K165dOfDAA/n888+bJFYRaVrqcCoSQfkc7fLd5QomTZrEFVdcUe/8a6+9llQqtdH7dejQgTPPPHOzH3/t2rW0bt2apUuXcvzxx3P11Vdz8cUXs+uuu9K5c2eOP/54Bg4cSIcOHTDGMHr0aDp16sTq1asBOPLIIxk9ejRvv/32JpdnEJGWR8mHSBTlcZ6PRYsW5cwanEgkGnjjzVNaWkpFRQWLFy/G8zxGjRoFQEVFBSNGjOCVV15h0aJFdOjQgddff513332Xe+65h6KiIgAmT57Mfvvtx+uvv77JGZJFpOVR8iFS4DZ3yYJf//rXeX3c3XffnbVr19KxY0cGDRrEr3/9a8aPH8/q1at5/fXX+dGPfkS/fv0AmDt3LsXFxfTp0yd7fb9+/SgqKuLNN99U8iFSYJR8iERQIUwyNnjwYNq0acO9997Lb3/7W4455hhGjhwJwKpVq7j99tux7bDb2cqVK2nbtm29e+ywww6sXLlyg/dPJpM5/VcqKysb4VmISGNQ8iESRS1gevW//e1v/Pe//+WNN96guro624/k7LPPpn379rRq1Ypbb72VU045hcsvv5x99tmHxYsXc/fdd7Ny5UoGDBjA+++/zy677IJt26TT6XqPkUqlcBxng48/ZcoUrrzyysZ8iiLSSDTaRUQapH///hud3fS4447jF7/4Ba7rcuyxx/LWW29x8sknc+GFF2JZFk8++SQQdopdtWpVTgKSSqVYvXo1nTt33uC9J06cSEVFRXZbtGhR/p+ciDQKVT5EIqglNLts7vpNPXv2JAgCzjrrLEpKSoBwArJkMknr1q0BOOyww/A8j5deeonDDz8cgBdeeAHP8zj00EM3eN9EItFknWdFJL9U+RCJohYwvfrmGjFiBG3atOHYY49l9uzZvPHGGxx77LG0adOG4cOHA7Dbbrvxs5/9jLPOOovnn3+e559/nvHjx/Ozn/2M3XbbrZmfgYjkmyofItKo2rdvz2uvvcZvfvMbxo8fj2VZ9OnTh9dee4327dtnz7vjjju45ppruPjiiwE48cQTueSSS5orbBFpREo+RCKquUer5NNuu+3GHXfcsclzEokEV111FVdddVUTRSUizUXJh0gUGRNuDb2HiEgEKfkQiaCW0OFURGRrqcOpiIiINClVPkSiqAVMMiYisrWUfIhEkBWEW0PvISISRWp2ERERkSalyodIFKnZRUQKmJIPkQjSaBcRKWSRTD5MZn4Cj7S+vUmL5xEulmY074aICBDR5KOqqgqAV3mumSMRyZ+qqqrsQmr/kyYZE5ECFsnko2PHjnz00Uf07t2bRYsWUV5e3twhbbbKykq6dOnS4uKGlht71OM2xlBVVUXHjh03+xo1u4hIIYtk8mHbNp06dQKgvLw8kh8o/0tLjRtabuxRjnuzKx4iItuASCYfIts8jXYRkQKm5EMkgtTsIiKFLLLJRyKRYNKkSSQSieYOZYu01Lih5cbeUuPeJHU4FZECZhmN/xOJjMrKSlq3bk3/YVfhxooadC8vXcsbz11ORUVFZPvC5FPda3cYo3CtWHOHI7JN8kyamTz5P993Ilv5ENmWqdlFRAqZkg+RKFKHUxEpYFpYTkRERJpUJCsfn3zyCR9//DEdO3Zk//33x7Ks5g6pntraWt5++23WrFnDHnvsQdeuXXOOf/nll7z22mv1rjvqqKOIx+NNFWY9zz77bHYG2Tq77747ffv2zdlXXV3Nq6++SiqV4qCDDmL77bdvyjDrmTlzJsuWLau3v02bNhxxxBEALFiwgNmzZ9c75+ijj8Z1I/mf+kap2UVEClnk3pF//vOfc8899/D973+f//znP3zve9/jmWeeoVWrVs0dWtaf//xnrr32Wjp16kTr1q15+eWXOfHEE7ntttuyidJrr73GSSedxJFHHplz7fDhw5s1+Tj33HPZbrvt6N69e3bfsGHDcpKPt956i+HDh7PjjjtSWlrK+++/z1//+ldGjRrVHCED8O9//5v3338/Z98TTzzBoEGDssnHrFmzOPvssxk5cmTOeUceeWSLSz4ITLg19B4iIhEUqXfkJ554gqlTpzJnzhz69u3LypUr6du3L5MnT2bKlCnNHV5Wq1ateOutt9hhhx0AeO+999h///055JBDOO6447LnlZWV8eCDDzZXmBs1btw4zjzzzA0eM8bws5/9jB/+8Ifcd999AFxxxRWcfPLJLFy4sNlm6rzkkkty/v7ggw946KGHGDduXM7+7bffPpKvuYiIfCtSfT7uu+8+fvCDH2S/he+www6ceOKJ2Q/BqPjZz36WTTwA+vTpw2677ca7776bc57v+zz//PP885//ZPHixU0c5cZ99tlnPP7447z55pukUqmcY2+99Rbz5s3j/PPPz+6bMGECa9eu5ZlnnmnqUDfqzjvvpH379vWqHOl0mn/+85/861//YsmSJc0UXR6YPG0iIhEUqeTj/fffZ88998zZt9dee7F48WLWrFnTPEFthi+++IL58+fXi722tpYpU6YwZcoUunfvzs9//vNILKv++OOPc+edd3LkkUey55578tZbb2WP1TVtrP9ctt9+ezp16lSv2aO5pFIp7rvvPk4++WRisdz5HKqqqrjhhhuYPHkyu+yyCxdccEEzRdkwFt/2+9jqrbmfhIjIRkSq2aWioqJex8a2bdsCsGbNGtq0adMMUW1aMpnk+OOPZ4899mDs2LHZ/b1792b+/PnZBfJmz57NwIED6d27N2eddVZzhcsf/vAHhg4dCoQf4mPHjmXMmDF8/PHHxONxKioqaNWqVb1+KW3bto1MAvjkk0+ycuVKTj311Jz9ffr04fPPP6dDhw4AvPLKKwwaNIg999yTU045pTlCFRGRDYhU5SORSLB27dqcfXV/FxU1bLbHxpBOpxkzZgxLly7l6aefzvnA3nvvvbOJB8CBBx7IiBEjePrpp5sj1Ky6xAMgHo9z2WWX8fnnn/PBBx8A4b9BTU0NQRDkXLd27drI/BvceeedHHbYYfTo0SNnf9++fbOJB8AhhxzCkCFDmv013yp106s3dBMRiaBIJR/du3fnyy+/zNn3xRdf0KpVK3bcccdmimrD0uk0P/3pT3n//feZMWMGnTt3/p/XlJeXs2LFiiaIbvPVTX9bF1f37t0JgiCnj4rneSxZsoRdd921WWJc36JFi3jhhRc47bTTNuv8KL7mm6PBTS55GKorItJYIpV8DBs2jH/+85/ZeSiMMTzyyCMMHTo0UnN9eJ7H2LFjeffdd5k5cyY777xzvXOWLl2a83dVVRUvvPAC+++/f1OFWc+qVatIp9M5+x577DFisRj77LMPAAMGDKCsrIxHHnkke86zzz7LunXrcqomzeXuu++mTZs2HHXUUfWOffc1X7NmDTNmzGjW13yrqcOpiBSwSPX5OOuss7j77rsZMmQIJ554Ii+99BIffvghd955Z3OHluP000/nySef5Nprr+W1117LTibWrVs3+vfvD8B5551HPB7noIMOora2lttvv52ioiIuvfTSZov7008/5YwzzuCoo46iS5cuzJ49m3vuuYdrrrkmW1kqKSnhuuuu4xe/+AWVlZWUlpZy3XXXMWHChHrNHE3NGMPdd9/NCSecsMEmoLPOOos2bdrQv39/qqur+fOf/0ybNm24+OKLmyFaERHZmMitaltZWcltt92WneH09NNPZ5dddmnusHL88pe/ZNGiRfX2H3LIIYwfPx4IPygfe+wxZs6cCYR9QE488cRmX/b9iy++4K9//SsLFiygc+fOjB49mr333rveedOnT+fvf/87qVSKIUOG8NOf/rQZos21YMECJk6cyBVXXEGvXr3qHQ+CgEcffZRZs2bhOA59+vThhBNOaNZJ3bZU3cqshxw2Cddt4Kq2Xi2vzLxSq9qKSJPZ3FVtI5d8iGzLssnHwDwlHy8r+RCRprO5yUekml1EpOX45JNPmDp1KtOmTSMWi9VbeyedTnPvvfdyxx13MG/ePNq3b89xxx3HxIkTG6UCWPc9yiOt/i4izcQj7Ff4v+oaSj5EIsgyBquBRcmGXv+/nH766YwcOZLx48dz22231Tv+zDPPMGfOHG6++WZ69erFf/7zH8aOHcvXX3/Nn/70p7zHU9dR/VWey/u9RWTLVFVVbXI5DjW7iERIXdPBwAGX56XZ5eVXr2r0Zpff//73TJ48mZUrV/7Pc2+88UYmT57MN998k/c4giDgk08+oXfv3ixatKjFNTVVVlbSpUuXFhd7S40bWm7sUY7bGENVVRUdO3bEtjc+oFaVDxFpMqtWraKsrKxR7m3bdnZiv/Ly8si9KW+ulhp7S40bWm7sUY17cxYgVfIhEkX5mKE0c31lZWXO7kQi0SyjrubPn88f//jHFrvejojkT6QmGRORUD5nOO3SpQutW7fOblOmTNngY7Zp0wbXdTe67bffflv9fJYtW8awYcM4+OCDueSSS7b6PiJSGFT5EClw320X3ljVY9WqVZvsob61swwvX76cwYMH07VrVx5//HFct/HedhKJBJMmTWr2+XS2RkuNvaXGDS039pYa9/rU4VQkQuo6nB76/Uvz0uF01uuTm7XD6fLlyxk0aBAdOnTg6aefpri4uNHiEJGWQ5UPkQiygnBr6D2a08qVKxk8eDA77bQTTz31lBIPEclS8iESRXnscNpYRo0axbPPPosxhiAIss0p7733HnvssQd///vf+eCDD/joo4/qjXBZtWrVZvWIF5HCpGYXkQjJThF+wCV5aXaZOeeaRmt2CYKAIKhfXqlLQowx+L6/wWsbs9+HiESfRruIRJHJ09aIbNve4KiYOpZlbXTkTGP497//zZgxYxgwYACnnXYaCxcubJTHaYhVq1YxefJkhg4dyrBhw5g8eXJ2Ztb1vfLKKxxzzDEMGDCA008/nS+//LIZot2w6upqhg4dyn777UdFRUXOsXXr1nH55ZczcOBAhg4dyrRp05opylxr167l2muv5Yc//CEjR47kmWeeqXfOjBkzGD16NAMGDOCss87iq6++aoZIc3344YecccYZHHbYYQwdOpTJkyfXGzpfVVXFJZdcwsCBAxk2bBh/+9vfminaLaPkQySC6qZXb+i2rXj99df5wQ9+QPfu3bn88stZtWoVBx100GbNutqUDjzwQFKpFOeddx5nnnkmjz32GD/4wQ9IJpPZc1599VUGDx5Mz549ufzyy1m+fDkHHXQQq1evbsbIvzVhwgSWLl3KW2+9RTqdzjn2k5/8hCeeeIILL7yQo446irPOOosbb7yxmSINVVZW8v3vf59nnnmGc889l3PPPZe77rqLN954I3vOiy++yJAhQ9hrr7247LLL+PLLLzn44IPrfdA3pc8//5zvf//71NbWcuWVV3L66adz//33c9RRR2XPMcYwfPhw/vGPf3DRRRcxcuRIxo0bx6233tpscW8uNbuIREhds8sP9vt1XppdZrx57Taxqu2QIUMoKiriqaeeAsJF7bp06cIZZ5zBlVde2czRfau6upqSkpLs359++ik9e/Zk+vTpDB48GIBBgwbRpk0bHnvsMQBSqRSdOnViwoQJXHbZZc0Sd52HH36Ya6+9lssvv5zRo0ezYsUKdthhBwBeeuklBg8ezIcffkjv3r0BuP7667nmmmv4+uuvKSpq2H/PW+v888/n4YcfZt68eZSWlmb3J5PJ7FDVgw46iG7dumWrBjU1Ney0005ccskl/PKXv2yWuO+66y7OPPNMqqurs9XChx56iLFjx7J27VpatWrFc889x/Dhw5k/fz7du3cH4KqrruKWW25h2bJlkW7eVOVDJIrqOpw2dNsGeJ7HrFmzGD58eHZfLBbj8MMP58UXX2zGyOpbP/FY/++6CkIqleKVV17JeS7xeJwhQ4Y0+3NZsGABEyZM4G9/+xvxeLze8RdffJFu3bplEw+AH//4x1RWVvLmm282Zag57r//fn72s5/lJB7w7Xw369at44033sh5zYuLixk8eHCzvub9+vUjCAJef/11IKxyvPzyy+y11160atUKCF/zXr16ZRMPCF/zVatW8e677zZH2JtNyYdIFBkgaOC2beQefP3116RSKTp27Jizv2PHjpHqK7EhV199Ne3bt2fAgAEALF26FM/zIvdc0uk0Y8eO5dJLL81JLtb35ZdfbjDuumPNYeXKlSxfvpyePXty3nnnccghh/DTn/6U5577duXjxYsXY4yJ3Gvep08fnn32WY466ii+973v0alTJ959912mT5+ePSeKr/nmUvIhIi1aXdXgu7M9FhcX1+uTECV/+tOfuOuuu/jrX/+a/VYe1edyySWX0LZtW84555yNnpNOpzcYd92x5lDXl+bCCy+kffv2XHPNNey3336MGjWKe++9Nye2qL3mixYt4swzz2TYsGHceuut/OEPf2DNmjVceOGF2XOi+Jpvrug2CIlsw/LRYXRb6XC6/fbbA+FIkvWtXLmStm3bNkdI/9Odd97JeeedxwMPPMCQIUOy++vijdpzmTZtGmVlZdn1fepGufzwhz/k1FNP5ZxzzqFt27Z8/PHHOdfVdfhtrti32247LMti6NCh/PrXvwZg4MCBzJs3jz/+8Y+cdNJJkX3Nb775ZhzH4e67784uTd+5c2f69+/PueeeS79+/Wjbti0ffPBBznXN/ZpvLlU+RKLIkIc+H839JJpGeXk5u+22G3Pnzs3ZP3v2bPbdd99mimrj7r77bs4++2zuu+8+Ro8enXNsu+22o1u3bpF7Lv/617944IEHmDp1KlOnTmX8+PEA3HjjjRx55JEA7LvvvnzyySc5Q4dnz56NZVn07du3WeIuKSmhd+/edOjQIWf/jjvuyJo1awDYaaed2GmnnSL3mq9Zs4b27dtnEw8IYwX45ptvgPA1//DDD6mpqcmeM3v2bGzbpk+fPk0b8BZS8iEiLd6pp57KtGnT+OyzzwB45plnmDt3LqeeemozR5Zr2rRpnHnmmdx3330cc8wxGzzn1FNP5Z577mHBggUAPPnkk7zzzjuMGzeuKUPN0adPH/bbb7/stttuu2X3d+rUCYDRo0dTUlLCtddeC4QjRq677jqOOOKI7DnN4cwzz+SRRx5hyZIlQNhH6KGHHuJHP/pR9pxx48Zxxx13sGjRIiAcVfLxxx8362t+6KGH8uabb/LKK68A4aR+v//97ykrK8smc2PGjMFxHK677jognM/khhtuYNSoUbRr167ZYt8canYRiaIWML16lFx44YX897//pXfv3nTu3JmlS5dy0003MXDgwOYOLaumpoZTTjmFsrIyrrvuuuwHBsBFF13EmDFjAPjVr37Fp59+Sq9evejUqRNff/01N998MwcffHBzhb5Z2rRpw9///neOP/54pk2bRlVVFXvssQd33XVXs8Y1fvx4Pv30U3bffXe6dOnCF198wfDhw7n++uuz51x22WV89tln9OjRg44dO7J8+XKmTp1Kv379mi3uE044gffff58hQ4aw8847U1FRQSKR4MEHH8w2qbRr145HHnmEE044gTvuuIM1a9aw77778uc//7nZ4t5cmudDJELq5vkYtNevcJ2GLZft+Uleev+6bWKejzorVqxg2bJl7LLLLvWGVja3IAh4++23N3isa9eu9b6pLl++nK+//jqSz6WiooJPP/2UffbZp95cEp7n8d///peSkhK6devWPAFuwDfffMNXX31Fly5dNrqu0Ndff83y5cvp3r17vWHRzaW2tpaFCxdSUlJC586dc5ph6qTTaf773/9SWlpK165dmyHKLafkQyRC6pKPwXtelJfk48UPrt+mkg8RaRnU50NERESalPp8iESR+nyISAFT8iESRUo+RKSAqdlFREREmpQqHyJRpMqHiBQwJR8iURQAVh7uISISQWp2ERERkSalyodIBGlhOREpZEo+RKJIfT5EpICp2UVERESalCofIlEUGLAaWLkIVPkQkWhS8iESRWp2EZECpuRDJJLykHyg5ENEokl9PkRERKRJqfIhEkVqdhGRAqbkQySKAkODm03U4VREIkrNLiIiItKkVPkQiSIThFtD7yEiEkFKPkSiSH0+RKSAqdlFREREmpQqHyJRpA6nIlLAlHyIRJGaXUSkgCn5EJGttnz5ch566CHS6TTnn3/+Js999NFHmTdvHieddBJdunRpoghFJIqUfIhEkSEPlY+8RLJRp512Gv/4xz/o2LEjn3/++SaTj1dffZUzzjiD1atXc9hhhyn5ENnGqcOpSBTVNbs0dGtEI0eO5LPPPuO4447b5HmrV6/mhBNO4KabbmrUeESk5VDlQySKggBo4DwdQePO8/HjH/94s84bN24cJ5xwAgcffHCjxiMiLYeSD5ECV1lZmfN3IpEgkUg0yWP/8Y9/ZOnSpTzyyCMsXLiwSR5TRKJPyYdIFOVxtMt3+1dMmjSJK664ot7p119/PalUaqO369ChA6eeeupmP/x7773HlVdeyeuvv47r6q1GRL6ldwSRKMpj8rFo0SLKy8uzuzdW9UgmkySTyY3eblPHNmTixIn07NmTBx98EAj7fgBMmzaNpUuXcswxx2zR/USkcCj5EClw5eXlOcnHxlx22WV5fdzRo0ezYMECamtrgW+Tl2QySTqdzutjiUjLouRDJIoKYIbTcePG5fw9f/58brvtNk477TQGDBjQTFGJSBQo+RCJIGMCTANXpW3o9f/LQw89xKeffsrrr79OTU0NkydPBuCMM86gXbt2jfrYItKyKfkQka2STqepra2lb9++9O3bN9u8YjbSV2X77bfnkksuYeedd27KMEUkgiyzsXcKEWlylZWVtG7dmsFtTsS14g26l2dSvLhmGhUVFZvV50NEpKmo8iESRSYPfT70vUJEIkrTq4uIiEiTUuVDJIqCAKwGdhht5A6nIiJbS8mHSBSp2UVECpiSD5EIMkGAaWDlo7GH2oqIbC31+RAREZEmpcqHSBSp2UVECpiSD5EoCgxYSj5EpDCp2UVERESalCofIlFkDNDQobaqfIhINCn5EIkgExhMA5tdtHKCiESVml1ERESkSanyIRJFJqDhzS6a50NEoknJh0gEqdlFRAqZml1ERESkSanyIRJBnkk2uNnEI52naERE8kvJh0iExONxOnTowKvLnsvL/Tp06EA8Hs/LvURE8sUyahgWiZTa2lpSqVRe7hWPxykqKsrLvURE8kXJh4iIiDQpdTgVERGRJqXkQ0RERJqUkg8RERFpUko+REREpEkp+RAREZEmpeRDREREmpSSDxEREWlS/w+Ew8szblFIMQAAAABJRU5ErkJggg==",
            "text/plain": [
              "<Figure size 640x480 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def M_hat(k_mag):\n",
        "    return 4*np.pi * np.exp(-(sigma * k_mag) ** 2 / 4.0) / k_mag**2\n",
        "\n",
        "sigma = 1\n",
        "m_hat_values = M_hat(fquad.k_mag) \n",
        "del sigma\n",
        "\n",
        "fquad.plot(m_hat_values)\n",
        "\n",
        "la.norm(m_hat_values, np.inf)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "63d87c56-c453-49c9-8621-6578ac5d0283",
      "metadata": {},
      "source": [
        "### Dealing with the Singularity"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f0aef36cc20>"
            ]
          },
          "execution_count": 10,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def windowed(r, *, sigma, b) -> np.ndarray:\n",
        "    \"\"\"Physical-space W, evaluated stably at r=0.\"\"\"\n",
        "    a = BOX_DIAMETER + b * sigma\n",
        "    value = (erf(r / sigma) - 0.5 * erf((a + r) / sigma)\n",
        "             + 0.5 * erf((a - r) / sigma)) / r\n",
        "\n",
        "    # Differentiate the numerator at zero.  The two large terms cancel here.\n",
        "    limit = (2.0 / (np.sqrt(np.pi) * sigma)) * (1.0 - np.exp(-(a / sigma) ** 2))\n",
        "    return _at_zero(r, limit, value)\n",
        "\n",
        "r = np.linspace(0, 10, 1000)\n",
        "plt.ylim([0, 2])\n",
        "\n",
        "sigma = 1\n",
        "mvals = 1/r * erf(r/sigma) \n",
        "wvals =windowed(r, sigma=sigma, b=6) \n",
        "plt.plot(r, 1/r, label=\"1/r\")\n",
        "plt.plot(r, mvals, label=\"M(r): mollified, erf\")\n",
        "plt.plot(r, wvals, label=\"W(r): windowed\")\n",
        "del sigma\n",
        "\n",
        "plt.legend()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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GjuusXQTcXkeYVoSJw7eG6ASsjg53SRfFet+TrNBPLfF0y8Ht28RKiFYXVQOYAOITk4segPlpR2wFvw3Jri3K+hL9yQu6XeqCWR0kooPltpCsEB1EA2FYONfIBrDaEWtkYdh0Kdl4suRj7fd06eN5Q0oQgDCQiDVCQQLbK1FoLiQQ6CdKlkIth4kSEKLux4SUyZqej8m5ntgY5ieckps8XiQmWEzbkfxUHqr9QBLoNy3JCamFNE3022C7iO0Sbq/HdIF+qyZWBiqQyQRmG5gu4HY6SEJyVsmKFXAtEhJmb6HXUd8DSnBxIG5C6no4OCD1nrTwSFMjzsG0QkINu1ceQ/9EOOoJpwUFBQXXgxtKPqy1fNZnfRbvfve7+ZZv+ZZx+6//+q/z/Oc//wlf94QjvhMQ9FZYrEWqCpwDZ0AEfNAVcLirrR1UedFI6Io2LJS1JRkhNU7ViKx2mF7JSWgsoTaEShf8YZGTmDBRnxtqQ7Io4XAQayUSAphlwoSkpEXAt/rf4bnJZZVDVou08brQRqcqR7IQBfwEos3KhmVUN8a7djikUAwLv/EJdxBJTvCtGV9zKaF4ohvi4bjWz/9wntw8quIyMysFY23/yawUjeEzxqSP+YnuLlaMypBk0hAzIQN9LCKIAE4VHj814zk1PmEWSc9pJSQnRCNISiRJmEEtCWlFkkQJS8zKidSGREJ8xMZErCyIkCqrPos2HFKgUt5JskKqre43Rr3uvNfXWgPOQl3rqR4eDwEQxBYSUFBQULCOG244/aZv+ia+4zu+g9e97nXcd999/Pf//t/55V/+Zf7jf/yPV72vFCOxXyB1jUxqmE2hqlTxiBHmC/3jvzElVY40rXVhtAZZ6h1urCw4g5/VRGdUESHpQrYMuJ0lfqNiearNZYxVucB2Se94fSJZYXlM76ijy2u05IU/QHs+4A4CB7dU+Inh4Fa9Ux8WzmExlKjKyKBw2A4Wx4XQgJ9KvrvPx2BW76Mn5BJ1IWalJYJZQrUf2frgkn7LsndHvSI+Zk0peQJCsr7vQ2WVLmF72PxQjwmJi5/eEBo93lGJWCMi0bC6qmoQhH6mZE+C/pge3ALq3YifCL5VkjbsLzn9PSShnwom5M83j0zOehbHHN22zaRCiZokIbQG0yeanQCkXApTohJqIdYQa4PxkebROaaL+GPNeF0EK8Rqgu0C9sAjPmCWkdhWJGeJ00avBzHQe9jbX5X/6kyMFxYRQ1ouiV2PaRswl0+D/XgoZZeCgoKbGTecfHzLt3wL73vf+3j+85/PPffcw/3338/rX/96/tSf+lPXtD9xDqkraBr9Qy8CXae31bUSkdRUJKd35BKTPi5CrCyxcSRniEMZZlBDoi7y/VZNaK2ShHyD6uYBCYlY6V13rGR19zx4OoLeiQ8+h34mhMbiJ+p5GEkHw4KbskKgnpRYQy/g20RoVRWIw0I+3ChHMCNh0ZJEyMcy3tErlxoVhL27HKE19BuQbBpLQmmdcDwB+RhVjzUiYiq9gT+43UKEfiMTmjXSIfkYjddzMig20a7eL0H2UujvHkCEkAkfae08oeRDP6MQc/3IR8MiWkKb/RqdqiOh0u8l6SHST8zq+EPCLoJ6d2qTCaHBb1SYPpJEPTn4qNeWEb1WWofpBJEAISIhjtdYaiwYEN+owrFYKiF2Tn/ahKTsD4mRFP1VX/dHfbZLQUFBwfXghpMPEeHHfuzH+K7v+i4efPBB7rnnHo4fP35tO0sJqWtoW5g0ujgAzJeqfBzfIlUVcVKPBkK8x+wvibOGOKkJE6u1fVHpwS6SLhgixMrQH6/zQplLMSnh9gNuHpifrom1wbeyUg/IC22fqPcjvjX4FpbHlMBEx2GlI5OUal/Vk9AkNZw2kGaSychhhUMyORoWdLtU/4NdQreZ8BMhVmvkIx9bjzC/pco7yadw3QRyDRhevjzhxs++7usY1AwJUO0n3Bz8REkSzeBz0WOM+ZhigtAI3YaqGkRVQkyfcAvdb7eZxvLXQPxCLXQbBtulrJ7of9MWRJMNv7lcpectYZeB5nxPv+XoBn+Og3S8RkKi3lWiKSGRjBBbSzJ6zVgnmKXB7i6QzhM3WyWyTY1UEUFg2cGFXWgqVeXqSv1IMSGImlB9d9XnvSgfBQUFNzOestkup0+f5vTp09e1D6lqmLT6x1wEul5vw5taFY+2HjsYxAdk3pGsIW40xLYiNnb0E5hlUG+A1bvXWBuV5PPduQlJyyEB/NTipwY/M2M5AJQIDB6IZGC5ZbKkn0slZkUc3FxX7dCqX6DfVCVgUFHSmgowKBxmmX8dFmubFRGnvgkJKGlxaXzOZR6QAevdKpd2rnzMk75m+7jC2qXnQj+/kD9HJiFLC/1s9dnG89YzelySzcRpKNNYEAO+BVMJsVIfDCJISFT7+pxB7UiWrCxBMgbjtavEdGnlRcnlGD1Cm99LtCPHrZ17J/ip0VJKp+9r5z6bfLNahkCsMZWW8mTRE3N5LzYOEZCNqZLhg7kqH5XTa9SY3OnzxJ1eBQUFBZ+KONqD5eoKaRuSMSvy0fdwbAvqilS7/BgQImZ/QdxoCdMJIcvsA0wXkZjwm6pQ+EmW0IV85zu0sya6LYufmNUiyaBCpNG74BsttYx39qAkKKhRsTrI5KPOptNJfq5ZIx1pVbKQoIRFkppVk4M0qBvr5ZhLTaeXGkRZ2zaWT7IRc83TcRkuLckIkNJl5Zp1hSaBXkEDuWk5pIoYv+bz8GAXEKtMEtYISlKOQEwgtZZB7FI7Xqr9RKhUKRkUnmRWREQi1LsJ8ZCMkqJo9blKUgyhNlT7gWo/EjFE9PxGI6TWIBFcitg+Yg8CsbZZWRKCFf2Q1mD3d5E+IG0u81VWS3kxl1529mAyGdUPsZbU90i6+v+bFeWjoKDgZsbRJh+DstF7/akrmDSkaaOtkEYgBMzFfTWVntwktk6l86x4uP0e6QJhVpGqTCpsLnfEhOtzjoTJhGRDW0FjXlRNSEwe60nA4nSld8VDB0qV190EbqkLYKx1X4vjulCGdmWkHLC+KEtSNSNW0B1Db7RdWpkvs/GU/D6skRVJgl3qHXsSfZ+hoySZtKY+pMOKxpPBuloSQYLuwHZ5d0nVl1jLuOiPpMTqDkJWgqLL5G0KoIRvICNDOSsNxthBFTJKRJIb3g9kqebXUOt3pM8Tutma56RPbDy0JDSGxUktQcVKu3RiLYjX59pey2+h1vMWJlnlElXJ6rMLwsQRJo5Y5W6q41OkC5jdAwQhbs9UaZvUiBH9+CFq7ketJlUmE6gSXLiak1/IR0FBwc2No00+BoNpCEo+2hqaWjtbMrmQEJFFR5rU6vPIbZjk9lhZeuwy4Lfq3E4ro/9jaE+NdpU/EWoZyxnDIl/tBZKBuakI1arF9pB60WuuxWDGDJO18kr+OAKHvBzr5CPZwTi5UhtWIV1r52RUS9QvYZf5swqH328tbOxQS+x4IFfAunKS3yetqzM5f0NbewUZjKeo6/TSfQ/HIjlzKw4dOh7wWo4ZiEYYyEv2vySnr+tt/pwLxu6bwZ8zEJ7QZNOoqHJV7QXEJ+R4NZKbWKsXxC1S7mJCP1zS7zs6bfEN0SJ9wCx6NQ03uUXbgExrxAXM+d1MyiZa/nPa4iOx0Q6sRQ+VBXFZASmj5wsKCgrWcbTJR4zIwULvIDcq0rTVUsuQYHl+VxefW44RG0toc3kmgXvsIvbsHv1tx+hvneFnNnd+COIT9a4nOqGfWSUstRDznbfxYHLyJgl2726IdmiFlZGYDH4DAD/VhTJWqzv4wc9hA9h5LqHkUkpfMxKN4a7/ULpoBOsFN0/UF9VL0W8IySbdT5sI+X1BlY7LSjOj6ZTDhOOJJJC197+8fKOfVTZ0hwMhWs8tEa9Eob6YW4hPDDknaSRH2ERweh7CBHWhpqFTJpObpJ9rUERCLj1JK/jp8Lw0Hu/gywmNejUuPrMdTcFDh9FQvgqNjMdkfKLe8SDQbTmSzSUvU6nh9PFdmgcfw99+gnBsqsZlK8gtx5DOY87tQmWJxzZyK66oAmIshIDMF6S60rTUq730i/JRUFBwE+Nok4/hdtk4qB2pMko8EkiMGqfuLHFSZ2lcTYrSB2TpYdmTnGjHS87vMJ3PMd5JfQZDYNgYKka+9dbVNZks2efOi0EtkUEZGI7UZePpJSRilctx2BCZBpKy9nzT5TZTJ2uvy4ttVknGMkUmN3EgHU9kPL0CDhGLtY3p0n+vqxjDP5z+tjo+IWVVRCQBooqOX53LQfEZWpOHhNNg9bwc2kfMRCfK5SrK4PdIYDPxE1CVI3s9khP6DasKyP7AkFThkLg6f0NUviQgJMzSawmlttkrJBgB6bxGq3dBo/itjGUWE6PGzsaEho1ZxEUNu1uEHDb28b+PK0H55/WRh2t864KCgoKnHEeafEhCyyzDnJacFGl2DpAY8We2SbUlTDTQiwTm/B7VQ+fpb92i+6y7CDNHrPPd9TIw/Z1HSNZw8JxbCK1VI2P+G6+tmQnf5mCqXA4ZsjIkapDX7COe5VYOEnNDxsZKBZAI7kD3qZ0wsDyRvRF2bQFcUwzsMnHit7Ul89xzG0IDoU2ECSxO5NfZNaJx6bo0LPKBlTIxLuaMgWS6bUVu9ERDkjWfydC+O6gV+fH1DJLxvzaN7x8bICX8jFwKEkjaDlvvJk789pJuy3D+M+tV14mFaNU/MigeEkTj1TtVQpLNKamyUo5CK5hePTkbD3hsn9i9o8rlFcZY+kFNsV3C9uvfrWhmiqmwex2z936EMKuZP/sWkmSvzh3bhJMzqocuUP/ew/T3nCZutEpOXA23n8Ase+z5PVJTETcnxNohzmjVS4yWBWPpdikoKChYx5EmHynHXuOy4S8lLYUIJGM0Kr2yupCHqK2QfdAshtYRZnVOIxVMiLnV05CGxMss12vaaURSLquM+RKrNtshURQYDadxbQGFFZkgrZSIVWJnWplH1zpC1ssXscrqhs0ZFy4v+oOPI3tMYOUXuSIRGXLFBw9FhDwnLT81qbCzTj7WE1CHDpT1asGl/pN1X0h+/fCawWg6kJ8U9TNFtxa+lvQzpMGCs0aqkklIkNVnlpXKJMPx5hbfsXNljVCNipQVItmQGyD53PXUQ2iHlmtBas18wYgGjzkNl0u1JViDaxzJGmTpMaYjTipkiOpPacyYkRAzYTNaKowR6XQY4tWilF0KCgpuZhxp8kHliJsTJR5GMHsd0gfC1mRN8dA/sGZvQfUHH8Wf2WT+WXdqq22lHQgSE81Fj4TE/nNvIdZaiknoQlWf79l4YM7+HS0HtzV69zx4NpIqIsMi61vhwrOqTCgYF3CdOKv/Tgb6zXxXX62pFXlhNL2M2ReIhnL5DXjsBbWWI+p8YOsekLxYS9DygdsH44eMEU1JVeUi5XJMXJGJAeO/P4bp49KHBoIUJRtwcyvsIisUPRqc1jKqM2OXjVUTaqzVgLs8tprfYzqw85XqFOo0qkhYSC6pWjORsTNmODadlZPPv4Odux2STammz9+VzR0xogpIqMA2wsYHD2gu9Ox++ox+06mBeLtm9wW34+aRyTmPbw3dtsudTcLy045jbt2m+b1HsQ93dM+8jTipCI0h2RpkC7PsMTtz4qRW8/OkRmqnnVjXIHwU8lFQUHAz40iTD22nze0PIYIR9X1UmkCZcly62Vsgy56w2ara0dgxBGvwd4RKoNIEy+jynerQcmmEbtMSJmZl/iQvZLmTRM2o2bhYr8iE8eo5wKxyPIZ2WdYIjAlrH0yysjGUMtYUlENdNIHV4i+DwqD+gljrAq0GV124GRb8YR/Z3PHk/SDpEPmQLD2kgaUN5ZgAUjN6KIZSSMqSg1kjYavj1q6eISclOYj14NtYfR+DF2NIRU026bC5ClVShv37dCj2XkwmZ1FLMQNpHB5PWQXxM3somGyIcY+NJSTBt/rd2E6VGqyoEiJC3Gg012N/gfGeuNGOgXVEi1RWz3EeKJesUYN0PNL/NysoKCh42nGk/yrGaY1xBlnkckpbEStVPAb5XpY91QceJWxNWP6h27SeX0k2MibcQcD0ifkpR2hWwWED8ah3Iv3McuG+jVxOkXHBr3e1JXNxIndIZEPpYFiUAG4/Ue3B4mQizDShcyQRMM5lcXNZdW/UiThJY+eKPjH/d03hsMvszwiDupBIFUQbCbNLSMY4ivWSk3hFkeMKCscV4k/TJdvT2v5CWp2noWNFvGQFQjD9EHee8hC6nC5KJhQVMB0+66BaZEUI8NMcGOaATLI0rEyoLyTqHei2NWp+3XcjAUwnuGWiOa+Pd5uZ/Fhh/86Gg9saJmcj9W6k2zJjLH6aGg7qimo/0pz3+EkmpDmyffmMk5iFZ/LehyAluj90hxqeW23HFRGkC9h5n4fRGdKsJV5Dp21RPgoKCm5mHGnyAajiIQLW6KC3OiseCczcI33Cn94kzup8JyxjR4rpVfEY/R05b0JLH7qK9huCb+SQF8EuderskPmxPh2WxLhAklQF6bfQ4XA5HGy8+09AEoREaFLOkxjKBukQQdE7cd2gKaApKwV6l54qSHXe/1oWyIgoh/YlUdSwudRjHI/fPFHRRQ7nkHSq6oTJ4G1ZKx/BSHpSJj6j/8Tk19Rp5DiDudYeqNoTKw75TJJNmp1iV+dPoppVB+VpzOtwasLt0e9FSU/+6gYzbwUhQT/Tg632k5Z+8vWhpS7BVDJ2Ew3iRLJ6vfQziwB2EQm1gUE9qS3+9Abik0axV4nQOrBCqC02JVLIBpuY1Ldkr54EFPJRUFBwM+PIkw/poy6YlVVpvFFpW0LCXVySrLB4xuk8Y2WYZqpdK24emJ9y9DM7qhFmuNPutFywOG5HRWJYeKsDHXB2cIvk7ojVomuy32EwkvYzIdarLpZ1IjEYH5MT/GxN6ZCV+jLmY3hwe/omyxNpZVLNrbSjurG+nqyrDlH0+LP6YHqhvgjNBei2oZ8ePk5Y21damTWNB+mFeifhDmBxSjtQhtcyZHaYXIbJ5ZiUDygliE1mHUMYWSeYTqgu5lbYWRrNtOMcGJdLIfn43T5jV050kJo0nvPOQr8xqCWr2TF+whhYFnPmSr2baM9Guk2z6kqysNzWuTDNhZRbgLUVO1pIE41kby56motBu1+sKiRiLd3dJzHLwOThfWIVCK36Q8LEIim3cceE+KiG6EPO3SeHlIR0neThel9fUFBQ8FThSJMPLZ0EYuWIjcuDvtDOlJjwmzUpB4SNikcXcfNArAzLY1pqWd1NZ38GGhg2joZnJf9LUKneTzSQanjc9irjJ4tK9TmrI67frecJtBJ1sR5Cy5K9ROnwYOKq9DGoHKO60KSVCgArD0iUkVwM2+O4iGvWxbCIx6hBZnFrFd+ebLp8GN1wDCiPCNlU2k3B95l4OPW8XGqcpReMl3FfQ9vsoa4ZEtQQbKLLHThDW63p1187tPrqf/10VdpSMiIkl9SMS1ZB6uyd6fV7nZzVc7w8YcY2YT+BxYl83fRJF/XRlyP0MyWkps9TbfMh6Wtz3kcfqXYDfmrGThgw9McaVcoWIasiqs6Bwx5oqRAjebjcpzbOnTvHv//3/57f/d3f5dZbb+WVr3wl995772XPe8c73sHP//zPA/Dyl7+cP/En/sTTfagFBQVPA67+luzpRMh3j1YIw7wWAdNHTB8JmxX9Zk2oDNGoTG+7OMahd5t2nN0hUVWLYTJtP1XpfVAixsFyXrcvj2knyTj1tofJY5F6RxfA0KgPY0g0Va+GYBeCnecOiyaPl2/XDKH5eWa5dtdudSHttyP9diQ2UUmEyT+ZOBEEsxTM3Iw/EnLBxCQlOHUktpGwEehPBhZ3BPpTgXDME7cCcSOQZvlnuvbvmT4WN/W53Rl9rT8WCBuB1EZSHSETGJISofFYDgzSyTgDRk+aHn+q9Jj6Y5F+MyppkPz5c2loeN3oi2kTYZLJhmhuilnm/ZMVjip7YRp9TXsu0p6LIzmLObF0+C4Hc/DQ4qsEQ/Atq8GBuVyWDNr1smV1UOCez0bVRHSqsvVbDWHisEuNc0e0ZTc0OklXfFQF5BrIR0RuyM9RwDvf+U5e8IIX8N73vpdP//RP5/d+7/e47777+M//+T8fet4P/uAP8rKXvYy6rmmahq/4iq/gB3/wBz9BR11QUPBU4kgrH+ngAH/mtBIPk9NLI6Pvwzc51RSwuwuaD1/AH5twcGZDB8jlTzcQC2BtEm32SPihyyIPGXOrYDBSJix5mNrup+lwsmHxhMEbMewz0W/pwjZ4PAZiI4NCkFAT5nRVukhDBsiwVgRVFOxccstofp5LhFlOFx3KMZmkyPj6S0ozkFfaS0ymlxlOr/AF5DKPDP9GCR4AFdAIsc3dMEnGt5GgA9zMUusxYZpWZZr8eaNNpOy5IEoOFpNRNYmDUlQlvFl9H6pEqPozlIKG5+7eZbLhVM/5UC4bQsmSG1qiEybI2IUTndBtkGfIrCkgWVnqtlRBqx+6QL0MLJ5xgtS4bKS1+NxdY5ZxvLbCTA2n8uh52Nv9GFf5lXEzeT6e+cxn8t73vpeNjY1xW13X/M2/+Tf5qq/6KgDOnj3L3/7bf5sf/uEf5pu/+ZsBuOuuu3jta1/LN37jN3Ly5MlPyLEXFBQ8NTjSykcKPWFSHRpdLiGHQNVmbKEkJWQZcI/vIctO8xvWyy3Zz0DKE1EbGUOxNKwrOxYc+Jax3XZIKzUeQFieMHRbWQ0ZjaWrzA5NxkQ7UdYMqmMHSyY6SXJZptGfZJMqCrDybwQwC12QJUp2bGZlYxJIk0iaBKgj4hJiE5JJyBMuOXrjrqFf2VMw/kQOB49dAhEQye9jE1IlUhOJ00Ca5mMalJHEqNLYpYwTeMd9W1Vphs8fa33jceBeVqcgl3Iq7X4JjX4I9bQwqhRkk+nyuNBtm7HDaAiFG9qBfbtWZotrZtZMToaQNxmMrvm1fmLoZwazt8Cd3ddySkpjF0ysVZUzIWZiKMRaJ+KyWMDu3pO95G9K3HHHHYeIB8BnfuZn8uijj46//9f/+l9ZLpd8zdd8zbjt677u61gul7ztbW972o61oKDg6cGRVj7imWOYofXV5z/sIvg2192zGlLveJJz7L7gDsLUjeFfQzuthGwMdZAqTc40nnExjMNclkwYTFDFY3i821KVIuqEduUBC6h2wc8S/ebKU5HW1Y4gozl1uPvXckpWPYZ8i87kQWh6bHEaSS30rVeFI79GBsPp4NVIQspx6nhBelFvhGX0kIzlmzVlRAaFZA0p/09CjavjwLdeILf9gn5ebCJVae14EuLIzAZwOtPET1QKieRgtD2Tu1Gyv2PoDjKRYCQrIHre3L6eGw1Py2bT3MZsaiUX1Q7UF9VQO8aum0R3jDGiXTwQspHUKAGRKrcxZxIzKByh1rZc04Fb5ETWcWidYf8zT2OXAdcL7PhxGF0/Mdhl7qCKudyS03njXWeIp2bwf67u2r+ZDad93/OmN72JF7/4xeO297///Rw/fpzt7e1x27Fjxzh27Bjvf//7r7if5XLJcrkcf9/Z2XnqDrqgoOCG4kiTj9Q2qkDkoLAEGvo0Rpprlof4RGwt/kQzDpAbwqxGQ+WwkIzmzby/YeJpbv/UJ8M4pt5wKLtjHC8fcjut5IVvrc12GHk/PHcoDTAc93BbPw6xI8shqjBghs6SnFJq9PkyvCZmkkBeYAa1JBtSQT/foM6MLx7e11wubwyBYgyxq4OUM8yH8bI6b0a0jdRoG/HQTjyaTE2Ob7coIelVZhrVhEHJiYylqcEoqycg73NNsRo7hywamS45vTYHi0liLJWECoysumAY4uUZzj9qUs1D7MZzKUpAJK4GB0pg7BDy2w3RJ6qP9rA+6G89ij8lxENyWV2btfrZrhI3U9nlUnzLt3wLH/nIR0ZjKcB8Pmdzc/Oy525ubjKfz6+4nze+8Y1893d/91N2nAUFBU8djjb5yKqHnXvsQc/yVEuY2jGTwy70j/ryRDWWU0AXBTdPuEVkuW20XbYe5rgw3uEnt2rPxOhdsgnkZM181z0MPUNVgCGFMzSJ/S1dNKNjXCSrfb1799OcLTEoHtXAggTpjS7mmVvENhJdJG1kNcHpciiDxSKo+hC9UO0a7ELojquJU5yukqZRl2U8psqGWfeByKB2XMW5HwhRLtUQ1dshImtkSUje4PYFt2Pwmwk/zcdkVXER0JM6lLuSkIKqNHZuVlkfdcyqSMzttGnV3dMLbk/zSvxkNWRvcYo8lC+3NueU1VhBNIneqB9n8IBYz5gmGybaEeQO9Hsw/YpI+FYD0uq9RLMT6GdGj91pUNnihNPI92XuzGmM5r1sOqqLHdXFDr9ZaxheZQjYj3WqP6Xwl//yX+Znf/Zn+eVf/mU+7dM+bdy+tbXF+fPnL3v+uXPn2NrauuK+Xv/61/Pa1752/H1nZ4e77rrrxh90QUHBDceRJh+khPEqD2i0uYzR6OPdsNG7VW05VenbdhHjGYfEDWoIa3fSYwvssC6sDXqLZliI0mr6LGs+hJzWuW48PRQNLowLZMwlE30PGbM9tKaRtw+eD5s0opxsfpzrIuhrRjIymDbFZI+HiRotbvLBr6skGWOZZe1O+NJ7cTn0D1UWUlrfV8rnR3QAX/auECMYM2Z+jNpJ1FTX0XB6SN3I53soBwEEbUnVjqbcHZSyApJH1qvHhrXAMf3c2u477Dg/n/wdDPtMWkpLWQkZPD/R5q8hrtQVVWIkt1ELposQ1obR5Uh22+Vzgn6+wYM0vp+PGrF+Dc6qm7Hs8trXvpZ//a//NW9729t4/vOff+ix5z73uezs7PDggw9y5513AvDhD3+Yvb09nvvc515xf03T0DTNFR8rKCg42jjS5MN0kWqxpN+q6Y43Go9uRVsi05BYmTsZ8vpTX9AhcXt35SFx+TmjPB/z3epkZTo1Pt/55vKL5mKsFkazXAu7qjStdFRLIpCJgumFfiu3klYrIjCqHb224sZJJExUIUi5HdUMfswEqTfYC8Kx9xmWpxIXnx1VDWkCaZaIknB2bf+wqpgwLFy6UQ2m6r0Yu1KGl43MKZOMgbjkUo/Iyh8iBsxQi2D1XrSQpkI8KblUIuANdMLm+yymg/PPi8RJQlzUzzqQtzZCUCXE7llMbwgTba1O+dykNpBqITTa/eN2DbFZfQfJZR/KMOwuqslVSWlWQVzSTprsAdFhePr9hQnEoCmoBDDISGz6TSFMhM0/mNOc69gZhtHlwYPG54TUfiBDQr9VESYrBaTfrrlq2Sl/h9dbNnk6ycfv//7v89BDD/H85z//kG9jwF/7a3+NN73pTbztbW/jcz7ncy57/MUvfjFnzpzhn/7Tf8r3fd/3AfAjP/IjnDlz5pA3pKCg4ObAkSYfagTMszcqMw6LG2rysdGpo8PfWOsBI/QbVu9Sh8h01oiHlTHpctg+3DSrN4Mx7Gu4Gx7CtZJbTwhd85Sk7BsRJR0pp4CShlkl+RhN0oj0Ko0tsprjkQlByB9aMsk5FokbCeNi7jJRlQNJ+ZBVgSBqZ8nQRTN85tHuMZReRnaTjymtkY31Fl1ZvTql/D5eFzOb22Fjo0RExhba3K2Sst+jEuIWpF7A5vKLVxlpTFgdyJMAVVTvxUD4hvfJOSri0uGI+UERyYKO5PRTQlKyRVZJ1nwo0QkmDp6cVfWITBzUy6NnVtUVVdT8xGBmDkGTaIehd9Gp4dkuh4uEPMAuD6MblJ4naiG6SfDhD3+YP/bH/hiPP/44v/qrv8oXfMEXHHr83/27f8cP/MAP8Ef/6B/lx3/8xw899mM/9mM0TcNkMuFNb3oTr3zlK3nXu94FwLvf/W7+w3/4D7Rt+7R9loKCgqcHR5p8JGvw04YwMXmOR4KYVO4Glltm7EYwPVT7ET91zE9X+Y6XlTl0nOUyEIzsA1g+seJhl7ogDT6D0KZB2c930DIuXmEW9bUDcQnqV6jO66Tc7njIxGO4+x98Fap0DK2pCLDlCSciu6f1ubVdLV6DahGjIQYhdBZZCvUjFbiEP+PBJUwdtD3WRIyNq1bZQcm49FwDo1KShBgH1cQQoxA7A73BPuJILtHf6hEXMVXQ0odJ2vILSiQSHHxW9nh4q904u05JXKMtuVLpf41NxC2t46RO/TDVRQ3q6o+HMSE2TCG0AbM0Ob5eF/yYVZDQrtpnxeeyVZW/twqCy+WbPn9/Ps/kyYmqpoN6B1KeyTLM4jm4o2FxpqHeTVQHkW5DE277ieCWUO+GPJzO6CyXCvzMkSqr5KSLV3/tr33X14qng/KEEPj6r/96vvmbv5nv/d7vveJznve85/GTP/mTV3zM2pUf5su//Mv5wAc+wK/8yq8A8Ja3vIUzZ87c8GMuKCj4xONIkw9QP0ey2oLqllE7W5ysMj7IJRW0DBPzz9B5YjvtPhjHvq8lmq53Kwyj6cfHBl+ATaNJcShtjGqGXflChhbaccBbluTjRA2U4uJowhxbZL2aNiW308rQTuuCPi+Tjpg7WVKQ1YKSPR62CogI5oQ+v54EXdhtLpuM2R+XtNhemX0wEhAzEJGYI8kNOMGeiCSTcNkgiihBCX5NOBk+p9H3NUMbzyRo88nQFbS0ed7N6pgkq0ZhqtLEmHw6nP98ruPwvUcNNBNh9P1Ep79L7kayHauhczYRkbGVenjOmKza6DY3z4bhOqtrpJySmrtwhk4nq0moEhLVfiDUOhcmZrO066O23l4lIoI8cWLLk97HU403vOEN3HrrrbzmNa95QvJx3333cd999z2p/Z05c4ZXvvKVN/IQCwoKjiCONPlIJGI2+SHg9gNuEdi/vcFP7FoXit7R+kmORM85HwDuIGGXcHCrjF0MQk4tlRXxCG0uMwjYTsslfpY9A80qgVTC4TvqVOUyyuCbCEa9A70ec3/cKxHIEnwCNTx6gyxy18tWD3XEVBERVRGAlQoRhNhZ4tIxmErdxGNsxNUekYTdVrLRSFqdwLGKsX4PLFe+o36Sz43bRksxWRHx3hC9ISwcg5nXTjxSxdxxk3BVyCWTQModMswt7FloIqnOKohR0kQC75LGt+9aJRYVasi1Q+kqJ6J6nZYrCdIsjTNfhoh12+n3FZpEbPN+nHbSMASayWr+Tb+hQ/WaizqMLoykVWPYB3+QCPlaE7pNS73rqR/v6bY14G6YsFzt9Zhl4GpxIw2nl+Zf3Cij5tvf/nb+1b/6V/zWb/0W586du+79FRQUfOrgqsnHO97xDt75znfS9z2f93mfx1d91Vdp++Uazp49y5vf/Gbuv/9+nvWsZ/HqV7/6soTDJ4PQmFWyaYIwscQm31lmEjHkUIyx6LkbxnYJ22l7p2+zOTUbRFddK6swLsjlmZBNrHZlVkzo6+xSlYfQZv9HnUYFQrKKMd6dT9YWU4EUQTqDPTCkOhGaiJlqcJo0Wa3IBxa8lmE4sFAlaAO2CjgXRzXDrpU7gNVroxpSYlqZTFPIC5nXGHO3q/8NDVkd0nKT30hj183YTZODxIys3kcErImY/N9oI9FlYpFkzPlIe079F9MwngsxCes0RA2TxmwOs69ELG4EkkujGpSm5MAzGWPYRxKSlQ5axrk669H2qco2mgiItuQO3UexSojRELjhux+viRaWxzQYpN5L+FZJRnT5WPuUPUSZrjnthOm2tbXW+DRGt/uJJVFd9bV/I3Fp++kb3vAGvuu7vuuy5/3qr/4qITwxUdrY2OBzP/dzAXjsscd41atexZve9CZOnDhRyEdBQcFV4arIxxd/8ReTUuJFL3oRbdvyF/7CX+Cf/bN/xs///M+PtdtHHnmEz//8z+fTP/3T+bIv+zLe9KY38RM/8RP82q/92hVDhD4WQmMxogu/CQmfTaRailkRiSFgKtZr5tNOVY/FCdEJtjlETNaSTYdFaJj0anIqZmgz8RjMjaAdLQdCrBL9NA9xq1Zyunj1eMQ6G06bMLbEJpQAmIXBnneEYx6ZaveH2DhmcgxKR/AGOoO5WME0IG3A1hHnAkYSZiinsPIFpCQktEMiRlFPSMz/7i0pCCws0guTj2jnjd9ISt72BT9LLM5EqGKObI8YF7E2ITL8N2FzO60x+tlFIDntSBmCsfreEr1R8uGNpqG6hLNa6zIukWwk1oJ4PTZzoAPqYpPAxFy6gWRyR8xSyYnphNgwEhBsImIQD+68fvmxZiyFDbTYLvW7TUZLJWOb7lJGXxCGcRhddFBfTNQ7ucxXoROUcymJwbQ6vKYxsF3l4YRJyYoRwsQRzNULjHHoHLoODN0yDzzwwKGsjCdSPb73e7/3CQO9QGe0/It/8S8A+Kt/9a9y33334ZzjV37lV3jooYcA+M3f/E2OHTv2hO2xBQUFBXCV5OOHf/iHec5znjP+/spXvpJnP/vZ/OIv/iIve9nLAPie7/keNjY2+KVf+iXquubbv/3beeYzn8kP//AP853f+Z1XdXCr+SqaYppaJR4Y7UqYPtqTDMxvqVUeN4N6kUZJPOSFBNB2zE6Jhp8yppJKBOtVtQiN1vpjHvYmSce5k8BvRF2E6rgaLLcwmKXojJI2L9xrs1pSn6M1o+hclluXSBtxdRxbW2MwSh7mSuDsxCOTiLtFyxfShLGEAWoX9b2+xh/k2/+8P+uUzFjrB28stOhiuaELrd3KfpRcnjJeF+OmHRb8lbF2MD7q/Bdh2VWqcHQG4xK29RiTMCauyEmVCckp7TzxDv3vTqXnpgmjv8W6gLECJyD2ol4TbyBmVjkoMQ3g1H9hOkHmljhVk+8QIe83MwnZywFy06QTg4fzJiApKyA5tTZM9PO7A308tfq5o9NrBKOE1nQpZ3+o0dQuE5NHl8TKMD9djZH2wxDDZEVTVS2rbJqrufbTDTCc5tdvbW09YVDXOn7hF37hSe/71KlTPPjgg6OCMpCWn/7pn+bRRx/l7//9v3/Vx1tQUPCpg6siH+vEA+Dee++lrmseeeSRcdtb3/pWXvOa11DXNaB/+L7yK7+St771rVdNPrTdNY0KhwaG6YJoIlR7XueyVIzBTyRVN2It+GqtVXOICR/ucPPiQyYYOgU1508Mj4H6N5b6vH5rMJ8Od76a7WEXQmqSSvk532NQJdIwYj4ThDQZFuukbbKDUhEEOh3dambaXuumQT0gkiPA04oMhGiIwdAvKlISjHhVKlzESNKyiEkrpUSG1NQE2098ylVBYcyZiFH/64MlJvDBkrwhzi2mjqQqYokad57fw9lIIpE21Kwae6vqy9IqUagShlwyyscYZkpQOHDgcwuxAbOugIjaV2WRz3mVU03NqtvFdEK1K8SYkEkuy+Q23JRActopeeJtrIaSm14/w+C/IbwuiSaZmgAhl11iLZiQqPcCoUksqLL5VLKhWK9bDTNbGaNvJvzQD/3Qod/f//7386xnPYsf/dEfvazVtqCgoOBSXJfh9F/9q3+F954XvehFACwWCx588EGe8YxnHHreM57xDH7mZ37mCffzRAOiTJ+o5wE/MXRbdlwMTJ4Ou39nQ7S5pJJVj6GDJbqV/C4JZo8ETA/7txv1eeRI9KFzZXj+OvFwOSq938ykYy1jotoR2o8K3fFEfyKSWi1VKGFSv4YANLm0krM6jNUFOQSDedwh+xZzpkfaSHV8jpiEq/WDiOiC3AeDXzjCwmHagFSBykWMC0xPdVoGsYPiEdc6WwYMZZ3LLaXrGMiJSFqZHfO5SKlXpaXulFBsGPVXiBKUrldDbOoMbtZjq4DNx9TUnuQCwQYlMskguxY5VxNPeOJWJlkuIdOeFIXQW/W97DlVP4YuHhOImzoNt3nMYOfC/LZImECqEtEkuhPkwXNqQA5TTZod81l69Y5o7osS1G4LqoPE5v2RflM4OG1ydkv2AWUyITBGsO9+WgNJVBXJxNi3QjIWdxCo9yL91K4Hyz5p3IwJpwUFBQUDrpl8/K//9b/4S3/pL/Gd3/mdfMZnfAawkl4v9XZsbW1xcHDwhPt6ogFRg9djvAvNrZ2DAbWf2TytVLsdhiwPxnj01X5sp4/rpFLGkopEyXHo6fBrEmPLbazJE1WTLjZeu2XsQgeqDTNWxOidNQGSl7FdVmzKnSy67zF1tDfI0uh72YitAsbE0dyZghl9FDEagjdIjKPnwpmIs3GlbjCUZnJLbpQ8xI1hTIvu95IWTH3F8C9WT065DTgnsJLVioT6H0ISJFh8/mJSEPV6ZLXERMlzZnKuR5sIwRD6HPa11OyQFHOpioRY9WLEaFZzbZKmzOIyCawSyURMFOzCYHoZyy/JameLQXBhFUQ2dDYlg2aLhGzItWkMZ0sLVTlCK6twueE1Rq9FopqXsRpmZ3yeMTR8t1YJjztAByKm1WNXg0828jGZTPjCL/zCK6abFhQUFFyKayIf733ve/myL/syXvWqVx0iDRsbGxhjuHDhwqHnnz9//mPWnJ9oQFR0QtdoWunQabA+QyVWWeoWcPuRjYc9i+OG/ducLlJGQ8TEw95tZqzxj2WYoD+pToRJGsmNXWh2RJjmRNMmjoqH2xcmDxvCRmT3Mz2pTUid4zK9sPl/LfYAdv6wJ25EXA77QhIxGEKfT7kk3JkOe2ukaoKml2bT6bJ3xM7iL9bYNlBtL5luLHCbUdUEmzASD6kbIRpiMvhoCMHQ9RZ2KtKFinTMw8yPfpAhJn0cIMtqsQtBVRm5WCH7FjnVIRNPXXusUdOooF0uFqhtUCNm6jQMLgh9soQoLM5OiNFQHVtiXKRy2rFjbUc85YlbfS4fqUEV0NZhk6gaT6oEbxP1WcPm/3Ysbo3s3Zu7iExifgfI6Uj7iKV53HBwZxiJYjSJzoD06gGJg5enTlCB2dNSi2RikSx0m3DxmTbPpWFs29aOKGHzwz1ukdi9syLU2X9EwkX9PiWtIvv9RFvEk9FxADc77rjjjjEcrKCgoODj4arJx/ve9z5e8pKX8IpXvIIf+7EfO/RYVVU861nP4nd+53cObf+d3/mdy/wi63ii3AEJkZizOZKoz2McdS+rO9LREyIrxWMIGRtSw32eSpry9LBh3Pqh55P3PwgAjlGul6TeD9PlpzklJzIEZAXR0DC0A0TcoIbogaVsENXHswejDogLY+cKc5PvxlfPMzIoHIEqqxxDWSQlchJpVm/W1rgxUl0SKZ8gk/dn19tzczkmSdIwMxlcvoOKsirhjCQFSN6uZZIkbDbEJqtR7GD0sRy3noJAZ8CC1BFTJbAe0zlVLvKXmrxRcuHywDwXEYseVyZ4WLTbpVlNuNUpszqcLrQpD4BLmDgcvEBc5bUko9+1eN31EELnJ9oV47yehkPXyKAeZS/sIYVNdF+roXfZ3LsM2IV/wmv/iXAju10KCgoKjhquinz89m//Ni9+8Yt5xStewY//+I9flu8B8LVf+7X85E/+JH/rb/0tTp06xQc/+EH+y3/5L/zjf/yPr/7gLs7pTm2MqoebR0wHy+Pq2xhSJG2XCLVw8V6NVU8OiDrbA6OJmrFeGUxND+05vaOdn8nllHyXbLxoFkQNsYk5A0QwC9j4oCVMEvvP9GqazDHiBFGVoDPsf2YPdcC0usinJKSlJZ6vkTbgjnU4F7Rckhds7w2pt8jvTiGBu28fM+loNw+w2ccBuvCFaIjRsOgqfDB0iwohMdtc4GykdT22yobTTZDbh8wO3cOYdgqrckDSUkxKq5JMOq4lG43YEHzUEtDSO3pv2d9rMDZRNT21C9QuqBpiItNaj9ff0hOSYeEdadcRfncTtgLxmXOsjVQuYk1PbDy9twRviOcaYhDMiQ5xEVcF4pnIha1EWljMBUeahlWOSpOY36VlmdkHLckIe8+I2aMTiWKUGAQdODdcB36qhGXyiH7+5alMGioli9Hr+R5muUQH+3e4cTCd6ROhEWItdJuaiNpcjPRTDbuLuUw4+fA+cm73qq/9G9ntUlBQUHDUcFXk46UvfSnz+ZwYI9/6rd86bn/5y1/Oy1/+cgD+xt/4G7z97W/nBS94AS984Qt55zvfyYtf/GK+6Zu+6aoPLjb2kAcjidboB5/HsF2SEowh/yOhQ+ZMn02kmbwMd6cSyR0yjDX/Qy7MnBExttN2uniFSS7PDOFiMCoeYvSOPjURqXOHRsozUYJgqoDJJkybSx+DNyJm2cXOcnusC9jcuTJ0zQRv8b0dB9IZE3FoW6sINFb3PagjVuKqwyV/rNVHlCvPOxMww0ari7TJpERIxDxAz5AItdGwsVwuikmInYMgVLWmrxqbIEWqFDTxc8MT2zgqNj7pPobuHCw6F0ZEPTPJ6Dk1QKttKNJHPUIvMHQeVepDCZNMFHshJh1ER56gux7VzqhaaB6HJL0usIMKlofQ9Xn+SzYox0q/Z+PTuJ+ElmSShTjM9ckqHAZia2FypIOECwoKCp52XNVfxTe84Q14f7mEfOutt47/nk6nvOMd7+BXfuVX+PCHP8xf/It/8Zpb77qTk1WYWNC00tDqXeUwNO5wYBhj66ybJ6pdmN+Sh4flRFS7UI/I4tTazJZBfh9q9nXKA+Y0htvt6Iv379GhbZIVjxQEWVpkYTQifaIEAKP+juSFsFNjq0h1ZoG1Wj4Z2maXnaPvLc7p8Lf6M/ewucQyxJ2HKCyDY35xwvx8y/TknGZjyazucDZSbYaRbAyvGRSMoUwScgDZsD2my2PTBxIwdMoM/x72W2WvxzTv49jkYPSYdMGy8I75hQnL3YaN0/vU047GBZyJ2DqSKk/4rI7eW7quwveqdDSNp648zkWci/iTkeAty7M6yTRtdxir+SVxls29uw72VAGhjmMWyME9IJ3BnbeYKtEfC6OR2Ayln6STaJOFVMHiVB5KuKcEop+pJySYhJtDcx6Wx8HnbhYZOmbI11/urAoN9Bv6oAlZLamE+e0z4jEL//vqrv0hW+V6UJSPgoKCo4qrIh9/7s/9uSf1PGstL3nJS67pgNYxeB/sMmGXkX62mmLL0N2SsvHUyXjXKTGHRM3Wcj6GO1XLeDecciaD5FksaRjbPkSmB4EgOXUzqepg9S5bp9DqgUgbNAzMxLHLJOa4dTfJ+Rs2jApBmlvi3GGaRFUF6srn8oqGiUVUMfG7NVQRmQaapsdtJ9rJkqrqqW3IEee6wvikXSY+qNnT91ZVliGSPa9jQu5cucK6puPTZMwRSQl8b4lRqGrtxKnMan9GIk5WZMVMDbVoqUSA5cVGieBmN7YZO6BF8MHgxcLC4PcazKxXL4hJiAuEic9zbQwxJdTVCWI0yI0Y1J+zNNkQrN9PSlHnAUlCeslm0uxFqdLYZjtMwk1WS2PrhmbIJZhGr6FktOV68H1oMmvC9uudWFquc4uEXUT81OhQOiek+upJxCdbt0tBQUHB1eBI68HR6aDYaj/QXAj4SUWozUgm3IEuEosNGbtbjGec6dJvQsjZHMajtfz8e3Qridx4wR0I/VYiTOK4MEtnkAh+FvOY+hW5kM5g9pwqHpt+zNkIIbeadjoQrd4eFI9ITEKIQrhYEx5tqT9tn2ajo6163DBMDui8pT+o2f/wFvX2kumn7bKxOac57nFrhAMg5LLNMlh8sOwta/qlY77fMJl2TGdLauepsh9DBNwwyGQNq2h2xv31wbK3M6HrLLPNJVXl2Wg6nInU1mMlUZkINkAFG3VHSMJBX9H3jr2PbBC9YePei7jGU9mAzf6QPhiW3tGdm9I/1uLuOsBUum8ssL0keMN8t821NSUe1ibi1BObiJyrSHObSy8gNpFMwm8FjWKfm7FFOlWJYBP1wmDnhj6X1VJOQA2NKl8S8mwaB/1MiYXNRuPQZlNqC6YT6nNaAgy1Kms0Qr0TmDzuOTjjCLXN0ezXQD64vCp2LfsoKCgoOIo40uQD9E7UtwaOK6FIGgKqiked70bzHemobjCYBNNYhjFLre372coDIiEPi5Mcnd6kNfVEFyEM48TVlMAdCM3DhjCF7niPyW2yoD6G6FUxqBqv5QKrSoEPahT13mCngfb2A6qNDue8TkhNwrJ3pJytYevA1u27VK2nrXusKOmIuYyy6CtCNGP3i82E4FgbNVa+mauqUithWVdJ1snLOmK+207AJBpCNMykJwSDrXJ8e1Z3DvpqvDuvbKBxftx36zyVROTMLiFYsBEfDH1WY+o8o6ZxAXNsSe8ivkr0nYMqB46ZCA7qSZczTgRjDTFLE8ZG4jQgNjF5RDBBmN+p03PFaT1k9O3k9FJyCmoyEeO1nTq2mYRUQJ+o5jksbFA5XPb8rF9fhtUgw0tUNT8xLI9ZYqXEdeysKSgoKCgYcfTJR9CJoX6ak0nNyusxGkxzPsfYJiurBQJ0m13q67rttPKGxDxufZLoN4aulzyhNmhLZzQ6FG2Izbb7wsb7Lcu7At2n+XEwXAhCikbLLQjVtFspHjmlNHhL31um04725BJnAtYkQjSEKMyXNTEJk6ajbgIbmwfYXOoY/Bo+qs9ib9mw9JY6d85sNwuciTT1cmzPFXJb72WxYh8fo2ek1f/20Wq3S3B0wXLQ14Rg6INlWncYk5TkSKRxHnFQ3RII0bC7bPDBMl9WmvVhlQxV4jHHInarY3dvouQjm1hr5zE2wCThO4vvGmLumx5UpjQJJBeZvrfG7gvLMzrrBZeAmM2kWc3I32FotRRXnxdsL3R5Am6sEjYIdg60gqzNuRnMzaMcIYMCksPI1kiGnwrJuDGkblDkrhal7FJQUHAz40iTD7uMtAtPt23oN8zoAan2dd7LcjvX6nO0ul1k899kNRjO9Nrl4KdpDJOC3N2AtlzGJhMPQUsqmXykSdBZLaLvx9zia9j9LE/c1I4U4NDk2KoJI+kQSXS9VU9BNDgXmDadLsAmkJLQecPBvCEEw6RVE2lb9ViTqIyaU5fBMp837M8bJpMlTePZbhcISUsZJtLYMOZ4DBg6aYaU1JA0ayTE1QRcsgdEsml1SEu1WVEZjKeV0VKNM5GJFVrrCUnog/YvxyRc3JuwXDq2NhY0da/7soGNZkmIhtoGvDfs7E6oK0/b9ojovmeTJU3d03mnIWk4PQ4bkSqQph3BG3xnoQKcKjFSJQ6e5WGpypLMgYkaTaWO0Bmk19V/6EBJol1LsULNxmkwiCa6bRgSVZPLibh1AhHsAqQDn4PqYq0D5+pd7ZrpZ5rREmttu3UHkeUxyzWh1F0KCgpuYhxp8iE+UR1E+g1DtDK2vtou6V2lGYLDdAGxecZGqNZIRlSzYJgqMVnfDijxqAZlQ4OhCPrfYWS7ZFJCZ4guMb9TTaTOpHFsfQpCCgbnOlyOSU9ITh7NeSQmMmm7cYHvgqoYy84Rg2F7Y05TeRrX5xbZREiCj5Z5V7GzN8G6QNN4pnVHZQK1CaO6AaivhdVPiAaftITS5xTUPq4IicB4PIMS4ySO/xaURJmsnljjwUDjPDEJXbQsvWPuKxbLit39lrrxepw2YCTSOi0XGZM4SDUXFxUJcHXI5CnRVJ7KKZlJUVNWk4k4m3KeiIdU0S+MtsIa0bA0l+huiUQPXKygR+fACNqZ5DNxjIzD6jCJWOc4/Nx+m6z6PPwEbA92DplXaZst6jEyPdAyzg8yPbgFeJSgDAFjplfy0W2acT5OQUFBQYHiSJOP2Bjmpx39zJDcqrbez3SpXZ9YCyqDhxqV2Flrxc21+3F7AHugdf5+msbMDjsX7NwQNgJxmiCrHqnP6ZrToJ0rtaoAMQpxYYkLh5v22GlPVWliae/t6KFwJjKpe41GlzRGoPuoSsTxzQMqE5g0qhakJHTBsrNocFbLGNuzOSemB7R1NwZ6DfEkPloWefE///gGTduzdfwAZzQVtRb1nzwZEX64WR4Uk4NQ4YPlwuMbxCicOL1DXQUmVlWLxniqKjJ1PTPb0206glGV5dxBDQhb7QJrIq31uEmktiGTFkuIBitRSYhEZm23KkFF9cEMse40Gr3u546wUyPT3CGTyzB+qsFoqTfaEusiqY6kDTBzQ33B4jcCscnXgqiHh5SvDwEqJZRGsgE1Dp6QNM4XWvd4hEZYbufrMPt4k0MHIVZGk04v9/c+iS/i+ssu1zTRrqCgoOBpwJEmH8kKfW1Wg+CyRB4qGaOth+AwyPV1tyIkw3Awvb0fJtKugskSjKZS0MVDen1+qtIqfjyrJFLlrheTA8JCjgP3oqFf1RCVnnKrqoxm0CqbLEk5YCuu4tbbuqd22j0COrbeR0MfHCIeI9BWPRPX4yRiRDtnErrIxyT00dB7y8G8IRmYJUErUuoZGUoq6yqG5PcbYriHfer+AISUXCYDFTF7PIxNBCMYwApYURXImkhT9ez3NSk4fPaJhGSQpJ0xlQ2YNkFXsQwDQTO5E0dJhhFhaaJ6aKJB0A4YYyK2gji3BK9KEyFhXP6yqwghD6sjYfL3m+qEzPW7VcVruBbSWHZZXQ9kdSRfE3Hl2UiOVbx61A6XZNV7NGwbZruEWs+lpBU5vqprP1ESTgsKCm5aHGnyISGtYtQF3CJh+uz1qFcko9rPY9E3V+qG6bWTxU/TGDKG6DaAfkunoGJT9nkYQguhCTCN2jERRfX2SB51r3feKaGKx8Uau9FjT82pao+1EZ8X1Bi1zLDRLsfYcR8si96NM1GmVUdtPZXRDJBlcGomXTQ4E7hlc4faDioDo2rSxYqzB1O64NholtQ2sF0vOF7PuW3jorbCVn70gAiMXTwDHzt8ovU/I1cTRoNrqOfEJJxp9saE05AM+76mC5b9Zc1G3bHdLnBGSy2VWRCTMK06uuA4P58gwEazHNt0Z3WicZ55X7EMjqV3JIRJ1eOsKiA+GPbmDSEaOu+UxNmAbHSYNuAv1sTdBjm+RGpVpFJI+M7oRN8g45yYMIMwdDn1uROmSvTbEQmC6XLJpNGAOT9VD5HbF3z2h4RGy3r1RT1f/aZeg6HRa7PaVb+Rn2h7bRL1g8jBNbCPgoKCgpsYR5p8gKofY31h+DGru1GVwNP43LGz4JK2yHEfuTMhVpl4ZL+IdibogjQOevNCirnN0igBGQaxDbfAxuiiJ7l0M3hAhsjwwXg6eCxiEiqTh8WZoDkZCDGx8mGIDmpr3apNNiajHTNkD0lmDDYbRWujQWXV0KpKWiuh6H6HwDDj0hgUNtzJq5JjsFYnzw4+EidadnCtqi19slrmCRGT5QFVYASiJaLH60yisaraWNFjGdqEYzIIUJmIt5GQIl20Y6pnTKJx69kno2FjgiBYq3keVgJhyEZJon6drHANw/ykF73CqxwqlyLSm7ELBYb/5uevbDNj+/a68XMcIjfkpw/bL2n1Xo9Xl7XXX9V1X7pdCgoKbmIcafIRnazmcsTV5NHBODosFqGVcU4LZJnbZHUkT6Ydyi36BDQN06CLjhfsgSFuBmIdV2215y2mF8LtS6i1uyJFoV86zfA4vcDV2jqakuCD0PeOFGF7c06VvRkhGg66CiOJ2nmmVc+k6sfZK3tdg48mL9qROzazemEDMamn4+Ky5cJiwkazZOJ6bp3tUJlAk8O+rMS8wBvNDEmOPlq6YJn7moV3nH9ki25eMT2zj6v12AAt8RxUzM9OmR2bs3Vyj4nraa2nsUqAKhMyyQkkCzOnHSzLqWMZHIvguNA1zPuK09P9rOqoIfb2rUAfLLt9Qx/Un9JYz6TqmbiO1vXsddo6vOj1kpw1HZUNbE0XLHvHzt4E58I4jM+5RNzuYOYJvSUtHVWjrc926uHAYh+tibOAP+nBRKTW4DGzMCQbSJWMShmwIqcoOTWVEANjWzai81tCK4fbuq2mnvpWQ8fGfA+nqafJXQMJyITqulDIR0FBwRHFkSYfQ/18qJsnk9Mn1zwaoGRkKKsQ83NlLUKdlfk0DePY1/eRsuphVl0vKaEERfROW2/yV3ejYtIYvCUkwsISe4u12oHhsrk0Rhk9FUo+wphS6nOQVxoeMyGbRNUfEpLkLhVtl2gyGWisz+Ua3U9CSzYx54AA4/RaZ1QVEZvw7YJePG29xFZ6HCm/h68j1RQm9ZLWemqzIicxCQuvl8oQr+5EFY4mG24SQm/9qG4sg6NGSz+VCQiJJlq8WGLQc9IFixUdtOcyqRm8MiEKxpAfU8+MBCHsVdjGI03A2IgVHbqX4iCAiX5fLpKqmGf35EXYpDwwLysdIY0ej+SGbYzK2jgsLl8nw1TkaPP5HUhGzpqJVX7/Ne9HtFK6XQoKCgouwZEmH6HJf+SDThL1ba6l50XAdIDRGOxhOq2JOjwuTAa/SH5uLzkqPY2BUxIEWWr9328HxEXEQOq1DOGPaTmlqtWVOESnj0FYVV54kxAeb4kXKqb37lBt6F17Aua9JpoN4+43m+XoudjvauZ9xWazpKl6tupFNpQmfDLsDUpBcGzVC05P9lWJkDCWTLpo6aPl/HJKHzWyfOp6TrQHNCZQ2yWuiRgidusxbcmVwdtx2HDK7axadJMhJMMiVvTR8th8Rh+tEhPrOd7MRyWkNoENt2SrcnTRcnYx48JyQut6KhPYrJY02dvSRcde1zD3FbsHDZuNDsmbVj0xt++qYuMwMTGpOpoqIRtzuscnzB/YQG6dY04vxgnB3rgxS0VEDahpkuhv6dX74Q1iI2IhTiOpTpiFgWBIbSY9E/UT2YOsormUs2JEW2w79Q8lqzNfxKvXKBnwLufLtILptOU71Eo6Qrt2fq8CxXBaUFBwM+NIk49hGprxCbtUwx9raZMSczl9SDjN2/W1qzLM4bp9Gssqwz4gP9fkP9hBDajiVDFAdJvZcTrOfhbGttmhZVbagD2WtJyRu1GGVluNEvdUVs2f2sliETQvo3W6oKuKIRz4aszgqPNiP3NqTpXhOX2FT2Z8zdR1SoJsR5uf7ySrLKzCwrI4dMlpXnW/mPwsmxKRTITE4Gv9nMakUbXpMcx9RT2WfyKNTcwqTW8dvpQDX+fH/JiAmhIEp/6VeV+Ng/LqrPrM+2okQYKGm4XWY491ahT1Vv00JmGdyleyq98PWzqfx7hE6gQ6gVrGBNtRiYispLVRUZOVT0Py9ZKvQ8mEIJmEGC29yNo1pxOY9VpNNhGsZLXuGq79a/SKXLaPgoKCgiOII00+1sPDqoNEv2mIw8KRhrJLnk6azX2SF7zRHLhOPIRVySWJyvEJkJTngeT9dgY6g5nphFVI0FvsR2pk5jEnlphxZotluXRMjvVUlaeqe6yJLL3LsekG6zwb9XKcqbLoK3aXDZvtklnVsVEtxwTRPlrOLaYYSWzWCyauZ7taYLIi0mel4/HFjEWo2GoWtLbnZLNPlY2nJntAxvOYO1diLhvFZC5blwyaaqokZW0Sbj7f27nrZRkdXXSc76YsvWOna9huFpxq96kkUJtI1QZiEn1OcJxfTnASOT3dw5nIhtHPa0xiv6u5sJhwvJ1jTWRa9fhkmOfZNX0uzdQukLY64iSyWFZ0i4rppKOykarxOCzhsVbLIhteW3NdIHVCXBglFxWqeMmKNEg2uSbL4ZbYmK+XIf8jQ4ZrS9IYVDe0dEerAwyr/UiszDj75Vo8H8VwWlBQcDPjSJMPyLketXZ3DDNZRgNqozX10dcRdFGIzdCVMOR96Dj1oQMB0Aj1BKlJOUwMnecS8+h1pwPjRCAGo4+f1EFyJg+SC5kJGav5FLULebthPq8BmLYdVc7wCNHQRQsCk7rPps4eg3pDdrqWEA1T143lisEvMZAOnywhCpvVks1qwazS57aZdAD4pO+jRtBqzO8YlIdRBVnvdhnzPdSkOqSeDsdisxxQD/+uDuispc1twPu+Vh9ILsUYiUxtRyWBGNUHcn4+pbKBzXqJlcTE9ZoOm7tlFr7K03KVhPTBcjCvcVZNvYJ6Zry3eJuH7EVVRsRF/AmvntFcGhOTv9upxq3jTe5wSqQ6gjGqciVILo6ttgAmrPxFsQJJaSS8wzDD0KyusaEBKdRoIq9bkZLCAQoKCgoO40iTj5RrBKHW5NKQw8ZMFiOG/I4xVMxr94J6PbK3YYhXb9dMpbnDJdlEbGMmGYkUjfoD6qCzQ3JLaohGpffTPSaXB2I0+KAKgrVqiKxtUJNoMMwXNUYSp7b2RgNpN5YYfPY5dDTWa6dMNJybTwG4c+sCrfVsVksG2aYLjj3fELKB9ZbJLjPbjUrHkIw6tMLOQ8VO33Khm4yvOd7Oaa1XwiMJk1aeD58My+jY72t2uzZPwY2caveZuY6p7bES1GBqoDU9IRm6asnFvuXscqZ+FRM5Vmnmx9R16ncQOOhrHtzfYFr1zOpOg8lcyFN81RvT9YYqG2lnzZJFV3FuvoGrPJO2H025vdPumQT4YHA2IC6RTnXEoOmxJupcmFBFmHnorH63JiAmz2uxETM3qnK4gVAkTK/ejeQAC6lSXmo6dEidVe9HaPW6Mx4dTmc08bQbLuDBeHqtU21L2aSgoOAmxZEmHxJX5r0hSh00/ElSomtkVDiq3cjWBz3zM5bdu+2ocJilzuqIbVp1LkQNIUtAtDF7PQQCSCeYWsswImjny9wiAlXbj6oHOxZ5pKU+tcSe0oFwCVh0FT4YNmdzLQlYVUOW3hFykmfrPFPX4USn1Z5fTFgGx7F2Tp0VDyeRkIS5r7m4nGiLru2oqoCTwMxlVQFVK3b6VhM1c4dLa3tq4zle7Y92mNb2mi8icfR5ADnoUwlIX1u6Vi+LBDijSsG+rwlrcfGbbqFeFtOzXaGkIFp8MlzoWkKccqLV2Pip1c9660w7dz66t8Gs6thqF9nrEglR6HD0wRKT0cAyFzi2ta+hZoua2gUmdU9ldUCff7gl7jrkrjlMlQAGIOxVJBtJLqwMqEtD7ASckgcZroWsgNHks2ET0omGi00hVEMXFGx+OOAOEhef5QiNtoFLB+4gX6PT3CFTgV0mjFcy8qRy7S9BKbsUFBTczDja5CMlTIBQp1XYGGpAHdtpc2S6WyRmHwmEFjBmlLqN104FhpJLDoeSICrB5+AwUJWEoAZRDQ1TNYHeqLHR6J09AAuDfLTCbXRU1ark0XlLCIbNjWWOTM8BYVHv1K1oZkbrPORFf7+rWQbHia0DplXHxPYkoA+Oha84t5xwUg7YrhfMbEdj+rEM4nM3ykA+ahOY0LHpApXklllZmU5hFa++HnuiERdaAklJCKg3RD0elt3Y6r+Dozaeie2pJFBJwORjOgg1i1hxdjFlv6/ZqDosaiJ1EomtlpYeP5ippyUtcthaZO6Dth4nQwranutsYGO6ZN5VXNifjOfYDkrVriU9VsOtSyBibVSJYpjFk1UXY5JmywU1iWpHrn7vJmST8Vpmh6SE6cA0EIbdGGjOBZqLkd17HKFhLPeZfvi3jF4jSdoRQ31j/z9RUFBQcDPgSJMP04NbJkIj+MHDkSBW2VS6llDabRkef15Dt81qhktE717bpGUYyK0egp9FpMqttVFIXqBKSOWh0sUteM2csJu9JplmdaPrHWxGzH37yFY3EowYDZULVC7QOI+zQUsTwbK7aJhWHccnc+3oILHTt8x9xVazxJkDtus5lYmEZNg7aPmDB29hNptzz5nzzNySjWqZiYJw0Tf00eZukMSt7Q5OVPFw2Xiaz9JoNu2j1RIPZjShgppNJZtUB5JiSVjRzzC1wiSXWRZRu2x2fYOgZKoxnolV0tRaj0yTllkeOkkMhmd+2iPUlXbgWImkTY1of3y+wUa9ZOY6ZlVPZSNn92f4aMZk19p6UgVt4zAmrWWDROTOBZzy9DXgrYa6VRG3vdTP6XN3jovQaPdNEnTwnIuITYSNSAqCRI1Dx+r11h3XPBD1EWl57+Izq9x1lf1CebJtaOSwx8PqtVvN1X90TeWT0u1SUFBwE+NIk4/1oVzrdfOh1EI2+RGVkMxPG63liyojEtUDEoeuDUlIyJHgeUjcEBYlS4E6Qp3G9toUlHyYxo/dLSkKwRtMlZBJj6kCRsB79XpYo3NbxiCxYHPXy6p11ub22D4bUDdrTS2ts7l04WvmnY6nn9QdW/WCxvTUotNgfdIcjD6fCCeBDddRGU9rPAOt0KwOO65BIQkRbZkdOl8QJR8m3/qnPMwmDiWcPMhu8GdUMbCIFXu+IeVSjZCwoopIJYFZ1WFJLJcVi05/RBJtpaWgzXrJXt+w1zdMYk9CcPmzJyDE1TC6QRmprLKA0BuMS1iXkA2PTBKxVz9HNZRZ6kAMhrR0JKftzWKTptQujJZaLOrTqLSkIr0gMvg5EqFZu4ZyG3Z3TF87KB6DmhbdivCO12pKY4DdNV79XFO95rJ9FBQUFBw9HGnyEWpYtoJvZSQZEnX7+nwX0+uCEJu0Mpp6NQ2GGaQ6J5VGodo1JJPwp/QuF6B5TJj9vmFxb2R5T8jvJciuQ7zgbu1ylgTE3tKfa2k3lkxOLsYU0OVHpyx3Go7ffYFmY5lj1YVzB1OcidyyuUdjeyoTWQZLFx3ORLbqBZvVgsZ6IsJi2fB//+AOmqrnsz/zQ8zqJRtuMZZAPnjxJI/NN7j32OMcbw/YsEucBGoJOk01CctYsxcazi2mPDbf4NbpDieaA2rjVRWxfux2gcHzobHsfbLsh5pHD7Y4v5xw+2yHzXrBllvgRIfctaZnajq6ZDkINY/ub/K+3du4e+sct812qMVT157nPOMBDpYtH3jgFuoq8Jn3PIS1URUcSbnMA7t9o2UcGzg13df23IMJxiROzfapTGSz6dg/O2HnI5vMzuzjTs2pc3x9d67Fe0s65RGn821CbwjnK2TqSVUY58FMf89QfdSw84cjfju3WEdDtWNJLtEfy9dVlTALwSwgTVh1vUgahxOGWuPUQ8uqEyYnpvqZ5K4Y0UnJBQUFBQUjjjT5SCKEnGia0PRSGToThmCxlA2lTqepj/6NwddBUjl93Okgj6eV2SErLEIaB8Sl9Ztb0bLEuglQ0KFnAsS08g3oePmY3yoPiiPRuj5vT3lInB0n2g4qycLrnJQYBWsS29MDNWSS6JNhEXReiw6nC7SmH/0f4/C4aPDJjAPaUtLPZXIkupOQ23dhSPuIIsQUtRyDYEVv47Vcw9iCq2QvR6XbHhMjEZONs/qceahGM+3mZIHNQ/pCzJHrovHwlURa6+mCpQ+Wxngcqgytzl02TYrGr1tJ2gqd9DGTv0PJ32NKon4NScR1Q23+l0ga1TRJg/dDt49ljqF0MsbvCxJTtpBouJjx+vxYs/KJBFbzX8ix6mut4Vd/8V/j6y7dxxHEuXPn2NnZ4bbbbqNpmsseP3/+PCklTpw48Qk4uoKCgqcDR5p8gP6BH+PUe3IHQZa6BWwHk48m+hl029mAGnUxMDmEbOh8SYCfpnHGh5ZWhMVJ6F4QMTOdJhtCJhnbOvzNVEom+mDBJiZnDmgqHbjWB21trU8vaE4taGfdqG7EZNhsNVp84npS0iFxy2CZ+4rNasF2vVDPSBQ+crBNjMJzn/UAE9ezUS2JCMtY8dhixkcXm9wxvcCzjz/CptMMkJiELloe7zYIecWc2I5T9S631hex24Eq528YieMc2ithyECNSbi1vkhISmQ8uv++1zJPbTyn6j2cRI65A9qtnttmOzw83+IPdk9x5+wCW9WcxniqNvBZz7yfg1Dz0ME2G9WSOzcuZhUo8Nhixty3Y8JrbZWMbbWLPCPGYk2iNp722ILNNpdAgtPn2kBzfI4NVk2yweBcxDQBOb3UNTyIDqSzib1Pj6Q7RL0YUYlNchBmmaSmwZyckCSYkHNDkr5vion2rHo+9iaMZRfrtQsrtECOWwe9Pk28BhZwk5KPxx9/nM/+7M/moYce4td+7dd44QtfOD72oQ99iG/4hm/gN37jNwB4wQtewL/9t/+We+655xN0tAUFBU8VrjWB4GmBkA55PYYZLyv5QjFMuV271VWZfBgIt6ZwpDz4bXhuiqILyCSSqsGUOswDybJ8vjMOnSEF0emqQ9CYN3Rz9TRUjUfMquV22TmqPChOsuIx9xUpyah6WFGDaZ9ykqf1TOslbaVpEX20o79iajs1Z7oOkyPcL/YTLvbtOMCtNf3qx/ZMbD+WhkKyWiqJNfuhYcdP2PUt+6FhHmv6ZEcCU2cTaWM8jfRM8j4rE0hoeulwXM4EZk6No1PX0UfDvm/UDyIwqTum9Soevos2Kyza+VNbj4+rc2PIJESSppl2upLbnGaaInTzihjUR2OtmoGjN4ReZTLJRlMxieR1Jo+gJbjYRlVDwiCToRkw64m4srqG0qCsZBvGeL2NF2ZSxcWncdjhYNmQmMiz9wqAV7/61bz0pS+9bHtKiVe84hVsbW1x7tw5zp07x8bGBq94xStIZUhNQcFNhyOtfBivoZTDH3+7TLhl5gI5Tj05WJwSHQK21uUSq0SssqFwMJqm7P+wCZNVDzoDVcQ0ccx+iJ0ldpa6XmArHeIWvaHbaajqQDNTr0dKwnK3YffclMntF5hOu3Hey9nzmxgSn377R2mcljnmfcVH9jc5NTnglumuEgOJ7PQtXbScmuzTGM9WtQCgi44L3YQH949xx/Qizz32ES1PSGAZK+ax4n0XbiMm4XNPfpiZ69iwi9yxkjtwELrospejoYuWHT+hyyUSQ6K1PY31bLrlSFwao620E9MhAjO71C6c0HKum/KbZ+/iWHPAc449QmUCE9Nz5+QCZ9o9fn/nNI/Mt3jGxjmmbsnUqpn2jpnQ5880dR1b1YKteklrAw/vbbHX19y5eZHW9cyqJQex4cFzJ5g0HbNmiTORWdWxON+ye24Dd0vEbWr0uiGxvzsFgaZRxaqqPP2ioj9wyMTn4Lic33LglJC4CCYRm5hn+ohGsbtErBNpQ6/FcVKtheUJRtUEGEPu3EEOt8vqSbIaTGbm16J8CNcdjXrEcj7+yT/5JxwcHPC6172On/qpnzr02P/8n/+T//W//he/+Zu/yXSqYXv/4B/8Az7v8z6PX//1Xz+kkBQUFHzy45rJx0c/+lF+5md+hnvvvZcv+ZIvOfRYjJFf+ZVf4f777+dZz3oWX/AFX3Btb5JYxaEnNGkyrd115lJ9XJO5taafuxbWPSAeSKJdLmtx7Gae/QDTNHZbDJDs9RjueqWK2t2Ss0FiEkwVqaY91qknISVta22bXrtE8gj6kDSifRgiV+Vb5GF6bEyGxnhqoxHhXXA8erBJRDjRHLDhluNjfbLMY8UyOE42+1g0yrwWba/1ydDHCp80kn2IVG9NTyUei6otnbUIicqoAtEYzSUREvNQs59kNKlWEsZQsU235LbJRWobOAg1beoxVs9VLZ6tegECF5ct+33NrZMd7XaxnoQQfK0dQMlgSKP60WRFJCSDlURlA5NWc1RCMrkdWIf3VdMeyRHrItphZKqYhYvckGzSOLl3uJxE1CuSOqAXUjOYRHVWi3jJ81zy9TP6OXLcelY+JHKorDHErSebhbZB+Vjr2LqqS3/wEV0HjpJg8Bu/8Rt8//d/P+9+97vZ29u77PF3v/vdTCYTPvuzP3vc9rmf+7m0bcu73/3uQj4KCm4yXBP5SCnxqle9iv/23/4bX/EVX3GIfBwcHPDSl76UD33oQ/zRP/pHef3rX88LX/hC/tN/+k84d3VvN5Tg9U3BTwTatej0PDg1Vlq3H8or4/wNtyrbmE40GnvwfADGC9V5SyQSj8fx9SnX/IcJrgm9k3Uzj3Ve49WzudNOemZtoGnzQLlgiQjbWwea0mmVMCyj5lRstzqPpbFeW2ajoY863bW1Pa3RuPXdruX/nr2V2zcu8vzTD1IbTy2BeazokuNiP8Enw7O3HmVqO1qjnpI+OQ5izfl+OqojZ+odjrk5G3Yxmk7VcKoOyZh9HgFDl3Rw3Ll+xkU/YZpLLyerPRo8M9sxNT1bJ+dc7Cc8sDjBzHYgooqJeO6YXOBkXfFrj9zDwlccu3XOxHXMbDfOY/HGjMSoMZ7NZom1Sv76aDUGvuo5cXxPvTLJ4Ig4G2g3lvgaxMScCaJdL3baqyk4XwpWEl4Ol94k/+72DCwM/dZq2q2khF1kP0iTS3RJO6ckgGSfUaxAQhqnKierHVjdVk7cHchGLrswlGKuBjeR52Nvb4+v/dqv5Ud+5Ee48847+d3f/d3LnvPYY49x8uTJy7afPHmSxx577Ir7XS6XLJfL8fednZ0bd9AFBQVPKa6JfPyjf/SPsNby4he/+LLHvv/7v58PfOAD/O///b85deoUH/zgB/msz/osfuqnfoo//+f//FW9T1gfJJdWHQgDIZGoC02q01p3ghr/Us5xGDH8Ic4LUUoaHOW3AkwSucGDGAVjY+5s0HZU73Os+NqAsxQNnXc5BtxnkqITa300bNSdej1Ejao7iwm11em2wwTbg75iESrt/jAhqyGJg1CTBO7eOje2yAqJLlnmoWYRHRtuOZZFrMRx2uy5foYVjT/fTAsSsGUXTHLEuYyZHnkhJhsrBSwRR6SxPVSJDbtQ4UjgXDdDSJys90clZGY7ztS7+GTU/2EBq2Flre25Y3aRRajocub4NEe+b9cLfDScX07YrJZMXUdtAsn27HQtKUE9UaVl6IjZX9a0lbbjWhNpnKfzGudua1V2KhdUUQkaLuasenNMHbS0EkVzXSQRppFUrUp6su4NWodo+c8usro2TLk1Sl4R9YqMU5RlRZqTyUMRh+j2T1G87nWv4zM+4zP4vM/7PD70oQ/x0EMPAfCRj3yExx57jNOnT2OMwfvLzTF932OtvWw7wBvf+Ea++7u/+yk99oKCgqcGV204fde73sWP/MiP8C//5b+84uNvectb+Jqv+RpOnToFwDOe8Qxe9rKX8Za3vOWqDy5Wckj5GBIlkSyh5/bGZBnbaY0X3Fy7FMYwqAFDGSWvDtEm+u1InMYxult9AAnbBIzRxTpkZaKqwkgoQhKWufujyWoISX0dB12t5k+rgV8+Gs7PJyy9GxdagH3fcG45pTWe4/V8JCV7vgER7j32OLdtXNRhbqgH5CDU7PmWLTvnlvoiE9vjiCxixY6f8MD8OLu+5Zg74Jb6Is9oH+dMvcO2nTMxHY1oaWVMM0XJgpNII56pXbJt59xWX+Se9nFO17ts2gWPdxs8tDzOXmjoksNJZMMuuK25SGt6dn2jqkx06iMxPZ+2dZ67t8+xjI4DX2d/iedEvY+RxLnFjIWv9BzmjqD9rubCYkLI5ZTW6UC5/WXNsleu7DL5SEnoeqcttpl8uIGAZKJhXMI2Xo2nMZfYTCJsRvxWzORjqI+k8VpbmU4Tpge7kFX5ZCAZYWjnZmVEldVrEU0/9ZOrvvRXno/r/XmKsVgs+Nf/+l/zt/7W3+JNb3oTXddd9pxz587x27/923zRF30RX/RFX8SrXvUqAL7t276NN7zhDQDceeednD179hAB6fuec+fOcccdd1zxvV//+tdz8eLF8eeBBx54Cj5hQUHBU4GrUj52dnb4uq/7On7iJ36CM2fOXPZ43/f8/u//Pvfdd9+h7ffddx9vf/vbn3C/TySfjmpGXCul5DtUSWCXujj4DVbttDkM6lD3SxRindMehucNC1G1MpqmIERvcbXXOSGCxnQfaDeLazqMSaqaBEO/dFD1uEwaYhI1osKhThYENpol00rH05MzMSoT2Ki0FddJGFtbI0Ilw0C2QEB4fLHBR+ZbnJnsclt7gZldYiVyEOo8kbbCmcBnzh5hZjs2zCLnsgmL0OCT5bFug3msstE1jb6TPln6aFiGiq1qzjF3QG10gF0rPbX1PHP6UZbRETHMY0VCk1Ub8Wy5BXCRx5YbPLy/zd2zsxyrF7SmxxC5wFSNr8mOHo/W9mzUS4xJ9FG31yYwqzuqYMecEpc7YpyNOqMl6ewdZ7S7pe8cqRUwovH3UfD7DltFUqXdNc5FfGeJ3mJMUEXLaopJSoM/BLCJOEm53JIvHqOm5oH0Ikp0BRkVttDmtd6urtXBcJoMJHf1JGCdC10rrvf1Hw/3338/X/IlX8L29jZ/+k//ad7znvfw5je/mXe84x2Hnvcf/+N/PPT77/7u7/KH/tAf4md/9mdHL8cXfuEX0vc9b3/72/nSL/1SAN72trfhvecLv/ALr/j+TdNcMSekoKDg6OOqyMc3f/M389KXvpSXv/zlV3x8b2+PGCPHjh07tP348eMfsx77RPLpuuoxBDitazU60Cs/YXiq0XLKqHoMLbYVGpu1vl1YDZdDCUnqDVLrMDJQ8hGXdvR/mHwgMQq+txDJQ950oR8WxmEkvc5egUnV67wXifikEenORCZrw9/66PDZTTuoB2psNez0LQ8fbHNLu8vJaj+bSxPLpIPl+mRpTccdzQWcKHEY3meZ1PvxSLfNjm85Vun03NaqT2QRtfyz07ecSbtUJgJLjInUEjASua25yDI6HuqO5xkx0Bph6jolSSbw4P42Dx9sc7rZZatajuUishHXRzOSidpoWqqRhE+W2qgRdlA6hgF31qhKo8PklOCBhrmloHHrMZffrORw+KVDUhjDxYxR70bsDcmFHK2e3cpeFQKxuXxSpVX5RVbXVHJr1+PAS3oNmBu3Sf5PHC87nXJ7pBvarx1/9s/+WW6//Xbe9ra3jX6uD3zgA9e0r8/4jM/g677u6/i2b/s2/vk//+cAfPu3fztf//Vfz7Oe9awbdswFBQVHA0+afLzjHe/gZ3/2Z/m+7/s+fuInfgKAD3/4wzjn+Imf+Am+4Ru+gclE9eXd3d1Dr93Z2Rnb566E17/+9bz2ta899Py77rpLWxhFw8Jst7rDBEZjaMox62MWg0mEdrhTTRqTnvI8jjXiIb0BGzH1qiPC7lnMeYe7vce0qxYFafPMEKMLYIiCdZGNzQVNo+2yXdQZLm2lOaEuk5QDXyMknd9iewyJRXDs9i2b1VK9G8YDwrluSkzC8fpAVQNJLGLFhX7CVr3gc04+wK2Nxpd3yWXFw2KAW+sL1CPpMOzHhl3fshNajrsDtu2cPzx7EGDsahkMpyF3mCyjw+RukAt+yke6bY67fSa215KN8dxaKwk56zdYRsdeaEcF5O7ZObbqBSLweLfByXqPSiIn630WoeJsN6M1PaebPVrbc6yes+drLiwnnGgOVA2pOjoTxjbgjXpJZQObjSpjXbBUed5LO+myt2fwc+TvaOIRG0eDqTGRat8gZx1yS9DBgUbTTvH5gsr+ouSyyTSurplYoSxj3ZAsiSQyqnDAGHBnOyUruDUvyNXiiBtO3/ve9/Krv/qr/NIv/dIhI/m99977cV9bVRV33333ZarFT//0T/P3/t7f46/8lb8CwNd+7dfyd//u372hx11QUHA08KTJx4kTJ3jNa17D//t//2/cdvHiRZxz/NZv/RZ/5s/8GTY3N7nzzjv54Ac/eOi1H/zgB3nmM5/5hPt+Qvl0KKcHHXEua3ej4+Prvw91eseqRXdt+/q25EFkqPXn7R4k1/aNrO3SxtF8CuT2TqhzeUZyeSYkM46Pl2xqXfaOyoYxnwO0vXYRHFv1gjYTEhIsgyPB2PUiaIvuPNRsV3OOVQdMjWaJdMHSJUdCMBKYmWUmPDqnZRkrFqniIDQcd0pmpm5JRRjbacfYcXTOSkiGLunrQhIOQs3EdtiYaESn5c7MEi0MQcglmKlRlWarWlDbwGPdJotYadnERCamJyZhkQkFoB4T69ntGxbBETKrrEwgJW3TNQLCUlt8cxBZF+zYvuxcoMKrOoRgs7JlcnbHKEpkf4ZZyKrzRJIOkgtrXzSZoAaBQWkDbdt2csiQOphOD1+PGjJmOpA2X2mXXqNPFjcw5+NS1fFGlCve8573ICI85znP4Yd+6Id4/PHHue+++/gzf+bPUFXVx3ztvffey4c+9KHLtrdty/d+7/fyvd/7vdd1bAUFBUcfT5p8PO95zxsVjwEvf/nLadv20Pav/Mqv5D/9p//Ed37nd1LXNTs7O7z1rW/lL/2lv3T1R5f/9rZnPdNHAufbin62YhCh5XCWxzAB1ya9axU0OCrkfI9hFogX3I6BSSRtDXNbIGxEovHYiS5uMarvoKpzK2cOFutz5Hfr/DjHZdFXzL3jVJ7HIpLoe8ejHznOrF1yy1272Jz30QXLwjskqc9Bp8PqQm1ITIwu9H3Sbg6AWjybdhU+9pHlMQ5CxbNnj7BhF1T5+ef9TBdmidxSXeSe+vGsWvTjGuiTRWMqclkiG0+1DXfJhCVt23FnfZ792NDhOO9nGEmccPu0xnN7fZ5z/Yz3H5zhVL3HHW0YO3bOy5SE5oyYlGiMJ+bMECtpnMbbGK8ELTh8nlkzeF8ef2QbYxLHP+0AK4naevrQsL9sxhj2ykYS2vUSMbhK253rRtubYzRjBki/Eelu8dg2YbIiIiTsnkbKh2m+jkzSeS5D2FgmGWPbbVqpbYeUOPTfzYXA1oc8Fz+9wjd2VOc+kbjrrrsO/f6GN7yB7/qu77rseX/zb/7NQ96rS3HHHXfw1//6Xwf0xqOqKr78y7+cF73oRZw5c4a/9/f+Hv/oH/0j/sf/+B+jClpQUFBwJdzwhNPv/M7v5Od+7uf40i/9Ur7sy76Mn/mZn+H06dPXRj5g/INvQjq0DVaS9qoUo0rGIUKS/SJDU8P4+nj47hbyvtoENgeOJaMjPUzE2DxEDgjRYCRkX4ceTIgG7zW0a/CApKTeEOJqOF3Md8NW0lj6GELGXO5CGZSJPmknR5XNn45AnzStdPA+NNLr4g55Kq2hIlAZz9T0bJq5vjdKWgIm+zAYh+QlSWhqvdPBc6Ix7bV4AhpN3uGISd/DjoFlSpxi0syOSsIYmV7FwUBrxzJPZcLog7HZP2NEiU9i5ZkREjFqDSMlVS5sJoidt8Sgq7nJ5zAlN54PEf2+huFzVlTZSU6nHpuBu+bSicRL1IWsbkhkNKMOBEQ7oYcnqLdo/XrUEkzSSPX1hK9rUj7W9nutyK9/4IEH2NraGjc/kepx9913X7FbZcDp06fHf29ubtJ1Hd/yLd/Ct37rtwLavXL33Xfzpje9adxWUFBQcCVcF/n4iq/4isuCw2677TZ+8zd/kze96U18+MMf5hu/8Rt59atfzcbGxlXvf5jxtTjhCI2ln61J3+nwTJeBZKTBbDqQj14wvRBn2mI5tOyGaUKaVeZFjGo6FAmjKTXkCap15VcTaaNh0VWYWrs2RLQDYzmvODhoYbaLazSETFzkzG0XmDjtiInJ0CUN0Doz3WPmurWOFctWtaDKiaJ9tJzvp+qzaC6O5ZY937AXGm5rL9JKz6bTOPWLQTtKJqZnZpecsrt5YY/sx4ZFqvnQ4iQHoeHTJx9lltWQlER9JX7K/ctTnK52ua2+wNQsacVzwu0RkuFRv00XHXtRPR7bds6Jap/nbDzMPNY83m9y3O2z5eYcdwdMTM8FP+Ug1pyudqlN4GR9gE9GU1FNz8wNaahqLO2i05TXynP61guAqK8CNfGm3nCw2zKzPbHV2TAY6L3FB8u01lh1ZyMhGjpvESLWgORhc+SOGUGvGz/J18Rw0WUviOlEQ+rytmRUMRumKq/8IWvMQmB53LGTLN2mjNuuqXpyA8nH1tbWIfLxRPi2b/u2J73r5zznOYAOfxtw6tQp7r77bv7gD/7g6o6zoKDgUw7XRT6e6I/VyZMned3rXnc9uz6EaGWMrj6ENb/GKInDoT/4mtEAIa7+lifQ4XLr7biZwWjY1Eq5SHmhGkypKRjS3IKYUVEAJTY2t4NCGlWFuvJU1mNEo+FDLgXU4nXSKtBFSx8dU9uN7a8+GXb7FnFz6kqVAy3PGLroqEQHv6kaY5hHNbZu2AWN+LHbZZFqAjoxbWLUXzKVjonROPYkgkmJznRsmgWN9ACj6lJnr0ojPRjYDS1ODJtGp/FObccyOpbREZJhGDRXYTjwWno5We3lFltPCNpZM/hTnERq44kYfBRqo2WgpvKo/rMqDQ3nePguhsCwtNQ22jQFsaqIRHL3ksih5+qXuOb1savvKl8FmJi0jbZehZXq5SGHVI6UVZX1zphoNdsjmWthHJ88+PzP/3zuvfde3va2t/H5n//5gHq7PvCBD/C85z3vE3x0BQUFRx1HerAcZEJhNSkyZRPhmBNmDtfTJejiM7bjJqh3oLoI4WQaGxsQiLXOAhmMoSmvRZLNjCK6eMWo49iNye2fC0P6SIucCpgTWTVJQjvpMHXEOTWKqq9CmDgd2mbQO+55qPL01x4ngQRc7CbMQ8Wpek99EMCBr/ngzgnunJ7n3uljiCR8MixixX6oqQhMTac5HrHi0W6LqVlyd/34SGB24oTH+i1OuD027ZzPnn5YyzSixzMEkScgOMO9zUeZx5r91HDOz9iNLXdU59kwC47bAw5izYfmp7AS2bZzbDagXmTCfqjZstqBU0kAgY/sbzEPtQaRZRPt3Nc8Nt8gtbBdabDaxGmyaZcJmJHExPW5bCNY0FTTumdr+4C69lm9SMofz1awqEhb+ySjs3ck6oA/m43CIglj0+q7zmWXWCdS0tyOoZxi5zD5KMwN+I1MMtbKMQPfGKLUx9ba3JKr5IPVeIBPsPLxVMAYw5vf/Gb+5J/8k/zar/0ap0+f5ud+7uf4qq/6Kr7+67/+qXvjgoKCmwJHm3yskYVDPo71x4efxBX/YEcHseFy099YmtEVYkjJlGGhId85R7N2/w1YSJNAquPa2wrWJCrCqIaEpK9y2QcBiZgMy+DGabaSXxuSGRURkzMxrES26wUzp4vxMHulksCG1Yh2Q2KeB8ht2jlT040dNcukHQcT0zE1HTPpaEUHyyUEn98XGFWIRnpdQCMsTJW9KMIyVTgJOjTOzUkIXXJUqCJSG89GDj3zaTXIbrNaahx9zu0w2eYacoCYrvVpHHQ3zMWxks29UZUeyd01Gpm+2p+QSWITSaixZxgcR4IUhGTzWZbBWCyjl2MwmDL4PgYPzDAkbv3/HYNY8nEW9LFJ5RIj6lXjBna7PFX443/8j/P7v//7/OIv/iKLxYJv/dZv5fM+7/Oe0vcsKCi4OXC0yUdGynNX1ksscPnfZwmykjAy/CyHjg25H2M9JhtLs5KeooBLY7gYCaI3xKAhYYOxlDqSTvUw8aPfY0g2NRKxmcD4nCw1qeK4uPfRsNfVbLjlSBK0RVd/DNrtEtCW3Xs2z7LlFqqkYFnGiplbsuUW6gEhchBrIoY7mvO0WdVYpIqdOKEWz5lqh+Nmnw2zGD/DXmx0Mm7SUs1UOmoJmbwsmUo3TsGdx4q92HLc7jMxHXc251jGip0wGdt3N+2CW5uLxKzMTPO8mTtmF+mS1XAw1KgqME60XQ9lWwbLfl8TWkONtisnERbB6cJv0xirPpAxOxCKbU/y+n3C0MmClmJszNuUvMQg+l3bXIaxh68XJBEb6I4Job3kQhzSS8nX4nBdDmWcvP1Quu41rv+fDAmnoCXWb/iGb3jq36igoOCmwidP9uL6H/Er3RUOXS3r5kG4PJ2SlS9k9fuqlj+oH4AGUHm5bP2wNmLsqvifUu68yCPcE5pKGvMYeCU4Qr+s2D03o5tXo0KSgNZ6pq4fu2QG70STW1dNbtFdxAqBMd00YDjbbXC2m1ERqHP3yTzWPNptsQyOmVnk58NZv8nD/XEEmErPSXPACTOnFU+fLA/2J7gYpko8pGcqS3ZDy6PdFl1u7Wjye3+02+RCP1VFI3tYhhJQRHJcuqeSMBI0QU26s6qjNp6h2GGJLPYa9s5PCb0d9ymymquTz7QqRpljrn8f1g0+nSyGJaAXzewYNCZZEcvLrq31Ziqjk5NHtWxQ3OKqc+oQDhEFuWbCUVBQUPCpgqNNPtbLKHLJmnHJAiKJcdDcuhE1D1Q9NFZ92N+6knLYWJqf5A10RneXJXskYV04pJAMJYChlEICP6oZuW0XWC4qLj62QbdfMSRtpOwL2ayX49RZJR/QmF47ahjCxipImo8hoqbUR7tNPrrcpJKQF3TYDzUPLk8wjzWbI/lIPOK3+VCnA/9mpuOM2+OU3WNiOrrk+IPuNOeCTq9tpWfTLLjoJzzcHWOZKhJCKz2SEh9ZbHO2n+msFeKY5TEPVd6m5EPbgLXEI6IhYpu1zrNJuexiJDHfadh5fIO+tyOZE/QzDuUhEZTgsQpIAzA2Ym3I36eWz4hAZ8YE05Xh9FK5LBuEx99ZzQda/3+HpDy3ZXUhDlfKusKQLrmurtl3kW7QT0FBQcERxCdF2WUkHmt/1GX4fX1bNgOuI42LDqNRUPe5diecHzt095uE6qLAUpBbV08BxjkvK5VDcHnbgBBNPrzB2Amu8UxOzqmmOrkzov4Dl8s1Jpdn1OegAWQ291t00bEXGo67fYzE8VimVrtTBuLik6W1PXc3j3PS7VER8KgKc4u7yGm7y222Y2YirVgSMEuRijl9epTG9MxjrbkcEril2hlnz4SkHT6VCWy4Ja3pD6kXfbTsh0aD0YQxs6SPVR7GphkoQ9hYwIytzvVGR8tc00kZbLCqfARZbVMVSNZyPdJoME3rVbVOaM4aHEI6uX5BZNUk8xBZ5yKXEtNLFAxJQLzC89Zfy1NutSgoKCj4pMcnB/mAQwvBoC5c+vA48nxcEFSpGLIiRiS0pXYdayFVynYSbl9gvjZKfdh9Jh7j26wthOtllyHMayjjmCrSbC6xjc+HIaPBEoYgMnIIVxyNm6CEZFAVLKsP2lpNLh2DybDUEril3mHLLvLcGccyOY7bfRoJnLSBVqAWS0qJiQQsS3p6FnkI3UR6rASOu4MxeTVgsGgOycT2YzrrcOzDMQ5Khc1kIeahJ4LmjjgTRt+GjkdJVBNPYzpMniY8nNtDRIOBlPz/2Xv3aGmysr7/sy9V1d3n9l7mfmHAAbkNIiomP2MUicEoxAsSo+BCoxEVl4iXRFETRdHRGFaWmotRUWJQE5MoLBRJSAQ1QVAQzGhAuQkDc32v59LdVbX3fn5/PHtX93nfGeSdGZgzY33XOuud011dXV1dc/ZT3+f7/T5mdc4HMenh78gGqHYNdrbeUjv8XZedqrNp7bpBkHVbbnnzj6rDKBtwEbkyYsSIESMO46FTfPxVyHez97g43MNd7D299kIMo9IvvAP+Kw/G5DlkZs3Sqgu0dznBdE2css7AiJTDMYdYk5Asy1gNRY3JB17ntszKNqvvqbNYVB3Z4VlKxTGzZGYCNZYKS4UbAjsbI2yYQCcVC6mpJNIYqErGRz4m8rs0NlDZOBy/lbR2jGvFmEgOkl1rk6ydw8JmlPj6UiAMotH0V2dmrNplK4iDMANX38fe4j295QMgAr2Ut7/fgtMH5EhGjBgx4oHHw6f4gPvV477wpYIuYIecCzDcKf9Vf9iLdffCvQ523ot3u74VyOG7+aKbkAu2LQ6Z9ffF5PwLZHgs4vL8FsEaoz+lZDEGJzIwMEXwOuy/WFTXjnWdlSmP6TEeMiavsUP594G2Wj83MtiMLzwX97T1x4JBaHxhMN0l7OhCjZG5LwdyX/EQsNqOGDFixH3Fw6v4sPdxbVhrjaw9hFsCC9ZiLhk0Ax/9fdY1IWs8hRhCtIODo+zjwoXd5pUuySqhs8qtDmd0PkxhOtrkC+Gf31e1GUvxbBiXXxuYAr1YDpKnzW0U1dIIvUSWYjhIFQnNBimsSS+aXlqbuIqiR10tfs13mjBrx5iGz5Uy51EKC8kC3RV3Y5CccxKiXWkl8wkps18+FrZpHTaAPwB7Yar/JazHh5p15oGpB0aMGDFixMOo+DgU7nSIHjD34da53KZzj4vVxcXHSh9QGI9hsV3bKiVD7B0pmgteXeSVxcdRbLirosTmwWyloCkIosPsJMdwWoQ+x613Vm2rzgieRCuehKWVNhcSSU0hAkux7KeaiFF7L3lmjXiWqaZyi+Fokhj65IhWgy4ksx1FjDowLvlcHf48JhdVh7WaMVq12aa1ooTiUvko31HWf8iF3++9iEb1uQtVyRdtwPoAueH6+ajtuwvEy/e3SHkgWJbR7TJixIgjiodO8bHmMhgWrvU/roZDKaj6mOSBc3n5K9kaWWB4yEqZE0+HRcwK7cmE9DD1w1vooSRLSishpLPqtIiDJoI8iC7f/eftwqJi/45NOrcHx/K8EiP0OXRLJ8YyaCl6cfh8kI0N7FQLvEmrCHOEvb4BjG6LOlTOhA3ePb+aNIHL/B6eSGUC7+2uZD9NSM1tbLslGzmbY548d8dN3t1eyVX+PNdXZ4gYOnF8qD3BXf02n7rxIWa2I4qlE8+5forOyFVNRxBL4wI71fLQ8QdxWbCqDp0oqgspE2kL2nMTDs5ukHYc1EVfonNiXDmXrFJZnS2FkBZDKZlBqCpAbITF1Yl6S/D5i5P1AmL4Mi94PF9Xpjy+VkmUKcoX9MgOY609c79YkrH4GDFixMMYR7v4KAtC+ig3q4f7FcMN64AcDHXo7lXWd756ObDmogCphGRkbRFZ3fmvb1f2kGS163tiPqwVqirqjJG11klIjl4cSSxSWAcMIVlStuU4k2iMumSK9sMiTEqOBtrK8UZwCN4GMBqD3phAlQuTykR6DIvkSEaPoBVLEIaBdNYInTg68VgYmBADatvFMLEaq14YjSAOS9KBeeRiTOxgp7WZsYmiraImhRXPIwbrEr5SZme9CHQXsEilbbN+kZRCcF1fIlbn94i/QA/DYSZFhutgTb8i3INt26wIkfUipVwEZtjq8DU5YsSIESMuwtEuPtYha3/LjVz0h12MznHRiAmD5KhLG8B2kNLhNWHIeiA7JfLQumH2hxGok85yMfq4tXo723eO6O1wLBbNoygLqTIfevevSaeqsZhstFx23Tkms5Ygdsjm2OsbFrEiTC2NNVQ20ifHXmrwJpLEDtkaGFikmpntqEzgEVNlKVqpMAIT07PtF3zy9E4a03M2bnDMzfEmcUN1CsGwkIrzacpSKkqg2MT2PGnyYcjtlnlq2EsTLqv3OFbNmboOEBZJmZZP2jjF1HSqMUk2Z4MIm36ZdSmayNolz5ZXy6+IoY2es8spfhK5rBENY8OweWJO2hTqpsegr09i8C4O8fRJtFCzJg3MB0AMlhCcXiNWELHKak0iVDnM7dBMlwtaJMLKei1A1JyQQ1NtRWP6rchFtcUhLch62Mj9wEMlXn3EiBEj7gseGsXHvTkNLnysDItbe8z2KhwNF2R1kMyKcofB+rquHTBWraLlrQCIBjP34HLqJqppSLJyeggr5qNEi0OezFr1OJc0+yJbbgctRdZElETTs+0UWyWkVpajMpE26eTYbbdQG6ztCeLYjVP65NiuF1gSU9uRxLKXJspcWMnTbBOeNMxbKftdzwnpxbGfGvZTgyMxXWujnA9TehwTs8r5aMWzFxsaE6lsGM7HbjdhmSo23fIi8e2Kb9BWind6bsp5i1IyUA6HuYVkqZwmpED+vpYO0znYKtdFfg+nRWXZrrRXVqFzRq+DC64rG8EvIJXZLmvVxqG64p4W93ytXqRBuVSMbZcRI0Y8jHH049VhiE4fHjZrj6+1Uy7SfKCOh+acMiCHBoBFs5pmuiZqTGUxMmB8wlZpSCIFoDOYUxVmzw9FhTVCSJY2eGJS8aO3mlpadA8AlU1sVh3OJvq11omzqn8oVlVnhDY6PrB7kjsXW0MQ2cR27IeGO9od5lkcOrM6J+XD7fEcg+6xRti2C6JY7up3OBW2OB03mUtFyIXDpm056Q447uZs2I6KSIcWHafjJneHLe7ut3FG2LILRAzLVKsGpNtiw7VMsgZkL0y4vT1GmxwT22Ny4NiHD3b40N4xZY2Q1aTfPISvRNYXvchG1WUdiDIcMbNDziQtUvI5TsmsuWcM5lyFOVNB1HNfBK22WovBz+0Z0KJSX4tSG3HtghKDbaE+J/jl4Wtx0HyUa3O49i5o2cTVtXufCwB5gH5GjBgx4gji6DMfRvvvJnBoqNeg7Vhn0O9B8xGn0CdIF5RZJoCxa0VFvrsujpUyXyTZNCxoBjBeYDsg0zQ4W4wR+s6x7GriVCsga1SI2UaPRQsLY4TaqW6jT55kA5jI1Gn7IokliKUm0NjIZZMDNqqOLnm80fZDZXWGSxF+1iZSE9h2SyoT2Y8TprZnwy6Z2I4Tfh9v1Olya3sSwXC539OI88weRCzzWHM6bOJtpLKRie2pjGo4BMNcahZSs+F0Bk2x2ZaZLxo6pu2lUnDt1EumPgyC0V4cGNiqWib5PASxdMkPThmMnusuOqIYGheGnJE+OBaLWofb1TJYeWUjQJWZKoomRzU2ynwYFRhfpNMBEy6kM3SuS78FsWEQsQ4vXNN2FF3IIZdV0kI3VatrcWx/jBgxYsRhHPniQ9A7SRfkcHy6qIvl0Cjztb59voml34BYgfisYiwvCXag5EGpeEk20/OrO2Qr660TwdQJc1kLjQo9XW4kdG3FwUFD2HZIrQJRxObiQ4a7f21VwDJ6Zk4Lmq2qZSK6v148ho7G9Vy9scvMdQOb4YwOapu4noilTRUT11ObxPHqQFsdaUrCsGGXbNiWDduynybMU8P7lpezHyc8bnY7m26ps1nEsJSK0/0m71tewZXVea5rzrLplkxNB2h7Zi9OacWz45dUJlCbSCeORaoQNBukMgFnEotU0Yvj5HROErXuCjqfxiAcqxdM80yaUM6RkTwxV8/3MnoEmPl+aLv0veNgv2Gj6obtEgZ2AiYmLQxz8SKoRkfZlazlSUZZj7W2i+lL42zFhsTa0B6/oO0iaOS6NSsRdL4ey3Vn0JaN7QUzye23+8hAjJqPESNGPJxxpIuP8sez3otMTkX6mSdM11olpRiRXKSUp1IWnALiRIWosEodlRwgxlqLxYAkSMEhjS6Mhb1IyZJK+qYV6kznh2QxuWVS1YGJdGAltwsiKRnOnd6kr1uunO6BURvtfl9z0DfMXMfU9XibMAIHoaE1kS230HaHX5LEcKbf4LifM7EqDAXhdLfJ3QKPngUmtmdmO3rRwW4HTDgdi5C0ozYB7yKPnJyiT44tt8TnggCgNoETfp96Gpi5li23xJGIWA5SQ5c8i9zm2bQt3kRCbrf85eIkExfY8QtqG0li2AsTDlKjGpMcmd4nx24/AQNNDiJLYpj3NefaKTvNgonTYwrRcf7MBhg4fuVSXTZisU6YzDp1xRSdTVJRqinTboUhxM3aRElml2RIvcPVcWi7kFRYihiGTkn2cYtfL2ZNLnQ51Kg0MW+7NuG42k/M7ogcOE9o7PD4JWNMOB0xYsTDGEe6+CjwB5HJmcD+9RZwK+Yj60CGDkz5W7smLhXL6lOuaUhsb8DndkoRNYpBwkoLss58xLRqp3ivxUdMVgsHA77S9ofkO29rgWjYPz+FmTInziS8EUJy7PUNXVR7rTe6mJ6PU6zRx5xJzFzHPNac62ZMbU8SQ2N14f7I8hjzWHPd5Cy1iTrqHuGczHQeCpCsoTJhEJROq14ZCPEkTBa9gifSuMBJv6+SUKPhZb1YDuKEudS0oqzFxPZYEiEXOne0O1zZ7HJFvZen7RrmqWYvTLi83qe2K3vwQWyobGDTt7l4sCyjZ69v2KqX+Kx7CcmyvzvFOoErlM2IokxVMwl4H1UwKypWdU4wEvOFYLLuZsV8gBYfEoy2Z8zK/WL7CwLKUtahejlUVJRrSspMHtHi98L13c8Tk9OB5WWWErk7lgAjRowYcRhHu/jIrER73CPOEqZ2eAwB16kAsC+PWclFiRYQgqhVNt8Rl6JCHIStBJVg1EeLseAPLO6sx9SW1BisgYTQtZ5kDbExA3sBhjZ4DRNz0PgwODq66GhswFWRy648T1MF1TsIw0C22qlTpBNHbQLGJIIYjDiWqcrbrXQZXXIDm1CbwJXNHm3y7MYZrVRc4XfxJnGZ3yegOoq7+y0+3B7n8mqPHb+gMf0wLdfBUL2V4i1i6cXR59eeD1OmrqeykR03HxwxrVTc3W/Rief66Vm2ciumlYouOaI4tRtnnUqbHMvk6ZJTligzJ11yGAONC1T5uPpYkYzhxBV7Gq2emaQuOoyFWd1Ruey+SZYu+GG7wnr0rVeGqg5DkWL3LfUpj7kyaohZLtDCRh5nu1bBCoCXgeUwKV9T6226BK7V4jY1DK2+bsex9whDv2kP6UDu07V/f9smY9tlxIgRRxRHu/jICFOLGEOqspYjP24Ca46DlZllSKfMfXpjsyIw56KLEaQW8MWdmwO/AtilgbCKSTcYUrT5fXU7a4WUDH20xLSy0VZkO2gezGatsLG5xFtNJXWiDg+XhaOS7/JrV6y5GlTWi8NJokEDtnRcvWMea7yL1FbYdC2NDcxjTRRL8I6KyNSqRqTDs0wVZ8OG6kKSsjI+B40VpQOopiOhQWEaLlaxG6ecCZtcYXep0dZOacWU9o41wk61UDbECH10LFKdxbllJosee0huSAwt4/H6bB0Z3C+sLLazWTsM4RPRqb4AdRagAsM8mMrH1flLhhgtVtZYj6ztsAsDmS0rYWWpzu20zJoMhcKaeNlkfccgaCY/HoD1wXUCsTF0xxyxzuzZfdRujJqPESNGPJxxpIuPQdDnINVm0HmIywtGob8LO27B9Aa3BKmA7FYQK3qTnwymye30SjSQKlrEKHsRNxPRBeqJ4LPl1QCydCSrkerOCt4mFp1nf39KTWJWd3kBFQ66GgE2vT62UXXEnHmx4VXjMXGB482cIJaz3QzfJBrXc7I+IIjlTLfBJOtBGhu4ot7j9sU27z53JY/fvp3rZudobE9Dn2PZLbd1x2hMzxXVHt4kjvsDNmzLieqAKJZzcYM7ltvMY81WtcwZIepk6ZIOj9sPNceqBZfV+2y7Bcf9AVPbZ32IBpnd1W8TRBmMxga23ALJgWIf2D/Jh+bH+aSt01xe7+FyFPypdpMolsubAyobdTBd9JztZlgrHG/mVDYRxWg7Knkmvs8WW+ijY7edULvIxGuhE5Nlsag5WDYc257jfCSKJUVDWnhMFTGzXGAkQ9gU+qsDfipYMvORTE5Azekjkt0vrOk40NaMXULYAGwpRsyhgmSI8bcQ69zuK4XLmk18xIgRI0Y8FHI+smvlUL4CDEyHlDvWdT1HyALBwUZLDhVbbYeVnFy62qdUgkySUuklAyS/HFm5KMrvMerCVtwx1miLIEQ3ZIB4k7BAGzx90setEZq8CLfJ53klhtoF6pxu2idPzLfejVUB7DIqm9EmrRkdKcehJy0gpGKearqUo85tYCMLREWgTRWLVLNINctUs0wVy1SxKD+xpk/q36ltYObUwWIRlsmziLp9Ly7bbTXLJImhzftqY4VFcmGzstJqlkc/MD59crRRP0eTB+YlDH30dFGLG52Zo7qOPjot/kp4GyoEjtHq92HK5WIG1qCwJkmMajgmaShcSWq/XReRmtKay6LTtX4UJup+1wUcg8V27XqV4royq+vG3J+2y/39GTFixIgjiCPNfNiYWXCb/y0i07wIhClqfVwbM2uixqkPLZm8OLhWKfU0NeAF40SzHzqnIkLAuIStc9JocFQuYm3Cb3b6fkn7+JWLOJ9opj14oYuO2kWcEWK09FH1DNYItYt00XFuOQGBnVqHw9U2cLadstc3HKsWeKtMhLWikeVi2A1TJrZnw7VcMz3PTr1QhmFxGddPzrLllmy5JQnDfpwwjzV/vHsDx6s5j5yeorGB2vRsuSXbbsExNyeymoFS3EFFcCmYoS1T0kjnqaFNnr84uJJOPNdMzjOxHRtuCbmIONNvcEe3zXaz5CmTD7Pll1gj7IUJbVLLrMufWUQLrnmoOddOuNxGah8IYtUR0zZ00XOsXuDQoqqLjj44GqeZIX109Mliq0hDr44a1CUTMfitDudKiFmOXjdgs9NFBCRYJBpNQc2XkAkGf2BJtRA30lDU2qD6olDmveTCNM5Y2WzLtUmO+c/n1gaQcB+qgAeg7TIWHyNGjDiquM/Fx1/+5V9ijOGGG264x+fPnDnDRz7yEW644Qa2t7fv03uYuJpCa9b675Bv7PKEUTMIBeXQnedQfBgZchmksCRGxaamNRo2NtH3MFaLEljNArFeF6KY7KA3MFbwXg8mJEtl9Q2cTYM7JlhLjeoR1BUj9MlhnegAOJvwNtEnxzJWWYuhYVtJDOfaKZveMnUd3kY2TKdzTKKjTR5nNPTLoBHphQVJGJapUtbBOB0sZyPexvyFX+C/GAiiHGOOpU2ePg+X65IHo0xLlYfPGSCIYR4b2qS0VG0jG65Vi/IQr+5x5fOjk3+XsSKKzrBxOek0Ji0+bD4vpTDqs23W5bYWrGLWjQHn4qDtiEmdLtYn/R5B7dNReyB2XTDaG2xvkVlkCIUp4tBy3awzb2vpuaXdl9Yn3K4zHGusiYlCngc4YsSIESMyLrn4ePOb38w//sf/mFOnTnHy5ElOnjzJr/7qr3L99dcDICK8+MUv5md+5me47rrr+MhHPsL3fd/38c/+2T+75INznY5MB/3jbzPrYRLqYskTS03MN3mVTjLtt/Tu00Sz6t0f5uYxVu22/m6HHBPSRsiLWSIsKmKwpFqZCO/yULTOI94wrXucTUzrniQw72sqm6hcZLNpiaKLd+wtU9dTu8iVm3uIGHb7CVssqW3gWL1gs+rY6xv2Q0M90xCxnWrB2eWMd959HVdvnGezaqltYGo78OqYOdVvkjrLDdPTTG3HzLZMbceWa1kkdaO0ydPGistrdbtMbI/LDpQiCIWV4DSKpRfVf5zqNznfq9ultoHrJueobGBi+uzS8eyGCR9eHmfqek5Uqg+pbaBNnmWq+X9nrmIZPJ925YeZerUKz0PNHYstGhe4emOXKq/Y81CziBXbk+VQrIVkOehrBMPx2WIY1tdFx7yvcS5pxkd2tLRdpaFmVZ62mwwpOMLc45uIbZR5kWipzjpoLf0kkpwWKWYtbl8vOr2GUgO9laH1Z2IuZHOoWXnMZvdV0XsAVAuB/fvGfIxulxEjRjxccUnFx3ve8x6e8Yxn8OIXv5gf+qEfwlrLH/7hH/KXf/mXQ/Hxcz/3c/ziL/4ib3vb23jSk57E7/7u7/L5n//5PPnJT+aLv/iLL/0I1zQettc7ybCR/8iX1nxcMSOUu1Q4FH+tLIn+okGnMoxdx7EKICvvmVmSEosuYkidI4kMGg9nE7H1dG1FdB3JF01C4mDR4KwQmwXGCJVNdNGx6NVGG72yKBU6rj7kFoY1moLauMCxyRxnE6e7Dbb9ku1qMQg9axPpgbuXm9RWrbfOJG3fYAii7hSHOkkClnmqMFRZu8LaiHkVYRarcMLgc87I1PVURiPdVUCqrMvd7Ra9OCob8/NFt2HZDRMOQsOs6mhcwFtldDrxw5wbm8+JumE05XTRV2zW7cD8hGSZLxucTcwmne5fDKFzdPOaZtrhqzzxNhlSryyJyVkew0yeNf1O0fgkLyCylg2Tz8lavkcRlophmG5cWn/rGR+l5eJaIdVGY9lz20RYtbcu+bofi48RI0Y8THFJxceP/uiPcv311/PDP/zDmPwX9TM/8zMPbfNzP/dzPOc5z+FJT3oSAJ/7uZ/L05/+dH7+53/+0ouP4m7JlLdfCK5lYDawesfqOm3ax2leELz+1Td9djOUIkP0bpionzxVQjyeMLVgk0GMaDhY7uunpMJV7zTaPR5UhMYQt6xqQWxiPq/YP7PBRtXRNJroKdFy9vwG1ggnZgfUXhmNZZ/HyZvIzOvCXNuAt4mUjNpUsTR2zna95ImX3cG5dspf7F7BdbOzun2OWDeVsIgVf3LmWkQMn3n5B9l0LZtuyczqv1EsMWd+dOI4iFO65DnfT+jFswgVxsjgqtnyGrk+dT3H/JzL64jPbaMkhohlP0043W7wttOP4Hg954nH76C2gcZolkmbPB8+OM7ZbsYjt06z4TsmVl05B6GmS15tybmgaaO2dfbahr2uYbteUtlIlzzLruL0mU2mTc/2dAFoO2u533BweoP6qoBvekIWnoYDjXq3s1a/wvwdlpZKsdOmZElbAjGp5kPQoXTGEKcy5MWQDEa1voccVrbXoiQ2q2LVddDsQrcthIkZ7LlYs0pKvZRL/wHQfIxW2xEjRhxVXFLx8YY3vIHnPve5hBD4i7/4C6644gouv/zy4fkYI3/yJ3/C133d1x163d/4G3+DX/iFX7jkg8tT59XOSC440uoOtBQn1b4QJxC28s2eUfGgjSC1yVR41nis5TxQChWjAkSMgBOM1/v/JAYTLVjVELhpwPpIHy0e8D7gm8Bka4k4oQ2OidcptZuzFtBwMJKyGbWL7DRLMLDbTdiplypctQFrEntdw8JUTKxGrle5SDnZHJDEcttihxP1AVu+xRlh4gLXTM8TxbKIqvFYporaBB1Wh2ZdlARV4yDantoEohh6r2FgqgdJ+r55aFxpzfTiEDHsx4aQHEtRrua62Tk2qlYD0vJ2Z7sZu/0EbxMnmgOmLuBNohfPMnrOtTOMEWaup7LaylrGiv1e80u2myXOakpqGz0By+bGkqbSllhMhjY6TJ1otpa4SqmtmHQgn2vioLcQ0bwPIQtNc/EgyZByYNjhzI7ckhuyPIwKTVtDqlYtFxJUB0ASYq3bl2syVisdiMnbJqfX4IgRI0aMWOFjLj5EhNtvv51Tp07xyZ/8yUwmEz7ykY/wlKc8hVe96lVcf/317O3t0fc9J0+ePPTayy67jNOnT9/rvtu2pW3b4ffd3V1A48FNWukBY2XWqG4hGdWBNOeg3xSWl6GLhwUXwC0NcQLkRUJEsK2FJMgkCw0rXQSlt1inFL6pItap40SCpcoTU6uNDmOgC26g0utZj2kSycAyVDQu4mxkZ3ueB6Tp1NcN39H4wEl7wH7fcHo5o3aBxgWmvqdKhjsOthFgu14yoWfTtWxVLY0L3LXY4v17l8GWCjunTouIG7dO0YvjznabGPQWe8O3XG72lCXJ8eq1CWyYfI6rj/I951ZFyv/d5dTSO9udweLb2MAn79ylVlvSwHjcudzi9sU2N2ye5Vi9GKLV94NqWu5abLJZtVw2OVCyQVTTcWY541izZNIsqbJgdxEqoliO7czVrmyETgzLUGEnkY1mQeW1KOmjinDdrNfvxSgjFoJDDNgmYvJ3K9EivUa1D222VAbMZYYsF7e2N7iFFq+pkkFvVJ/XC7I7nmvgku8xyQWynkjVOVeqGRkxYsSIESt8zMWHMQbnHL/+67/OW97yFh73uMdx/vx5nvGMZ/CCF7yA3/7t36aqdFVbLyQAFovF8Nw94eabb+alL33pPT5nA8Ndp3hIJbwpGnCCeGiPabKkSYBRLUf5AdTBkNOubQtYQ9zQ1xsrVGcNk9ss4VpLuDo7LSzIvlc7bhXAJ7xLpN7SHUyw045U6cTVykWWZyfEhWd6VcBMBW8jMVl22wnRGTarMplW000br3ke+0EHzFmTODk5oOs9f/mRy5k1HY+68q6hRbFTq3bk/HLKmfmMR2ydZataUltlKY5XByQ0cMwgnO9nzEPFvK853szZyqJVS8ox6RxKABUMUUye6eI4207Z7xu265baRaauY+q6HM8umnYqhkVqOL3c4PaDbeoqcvVsl01fhs852t7z/tuvJBrDyZ0DJl4H4/U5NyRhaHzMzhehT5aQHPNWi7YiQA3J0u43zO/epN5pqbd04m5Mln6vpg+OerNbWWl7h5yrdArxTIuglAyT2w32rGXxiEjc0CLCpLUio7RS0spRJRqDq1oPMXTbDFqiwf5NDhdbE6XaUPRG94H5eBhqPs6dO8cv/dIv8e53v5vHPvaxfMM3fAOz2ezQNm94wxv4zd/8TQCe9axn8Xf/7t99MA51xIgRH2dcUjf6EY94BF/wBV/A4x73OAB2dnb4mq/5Gn73d38XEWFjY4MTJ05w2223HXrdbbfdxiMe8Yh73e9LXvISzp8/P/zceuutw3MmMNgfxWUXS74DNehj/ZYhTte2K21+C2B0fkuG6wy2Y9jIWKE6gI0PWarzOXiKHHe+cLDvVSeCCkxNMvR7NWHpiUkDrrxNxL2K9u4pofV5qq0u0m3wLENFl0PDXBZa1lYX53lQ26k1cKxZsOF6brv7BHecPpYtqTq8btO3XD7ZZ69veN/5yzjbzVgkdYJYk9jxS3b8gi2vA9r2Y8Mdy23+fPdKblse40w/YzdM2Y8TFqnJQWMVyxw6Nk81+3HCbphytp/xofkJ/nz3Su7uNjmIddaEtOz4BZtuqfZYscxTzd3LTd5//jJislw+2WfqtUjpk7pSPnL3CU6f2eZYvWCr1sK0T4550Cj22kac1aKozHFZhoouuCE5Noqln+s5loU+DtqK6ecV4aDCgs54wSC9gX0PrR2m2IoYmlOGjVsNvlsTgkadbmsDg1DCZDXzYLE1+TGBfsPQb5rDwmYDqVo5XUxksNheOHzuryPe9a538YQnPIHXvva13HTTTdx111180Rd90aFt/sW/+Bd86Zd+Kdvb2+zs7PAlX/Il/MRP/MSDdMQjRoz4eOKSNB/PeMYz+NM//dNDj91xxx0cP358EKD+nb/zd/it3/otvvu7vxuAlBKve93rLvpDs46maWiai7lp1wvNPIE1pNoMiZK2BwJDzz1VumDYHpIxGC+Il1UwWa+WWzEQNgv9nsO2nKE9Lpy9KRGPQwoO56OKDjcDKRp6sbgAdRUwVcQfa5E6sew9tVctR3PZErvV03lD6ipco4vmsemCmCx3H6go1c8OcCaxUbUc9A3zWFHbSJSeieuZNS2PfeRtLLuKP3v/9ZzY2ueGq+7G54Llhq0zXD7dx1nhXD9lPzR4EzWoLOs1pq6jspEN23JVs8vEq90X1FY7j8pCDWmtyMCEeBvZtJFP2jzNdbNzbHplPqp8e79MFX1ynOtnxGzP3axbPuXyj7DTLHNCq6ePjvd8+CqWXc0N19zNpO5pfCBhOAgN+33NXtew4Ts2qlbbJ8lxZj6ji57NpsXZVY7KQVeTponZDXtUG8p6dNERosVsBHxatVZCsERrkJ0AtepAJOqMnv1rwR4T+g29xiRoERo2L3C59Hq9pUZWBUWfbd3F4l1cLst8Ha7lzlQLwR8I/ZYh3Ifi4+EmOH3e857Hp33ap/Ha1752+Ftx++23D8+fOnWKf/7P/zn/5t/8G77+678egGuvvZYXv/jFfN3Xfd1FrdwRI0Y8tHFJzMd3f/d382d/9mf803/6T/m93/s9/t2/+3f8q3/1r/jO7/zOYZvv//7v521vexsvetGLeMMb3sDXfM3XcObMmUPbfKwwSV0Eh9JKzequsoQ9lTtQ1ynVXT5ZKq6XLO/ACKmGVAN58i2iSZXLqxJhCilme6YBqRMySSvXBGCcCk9xQuicihcBN+updjqiMXTRa7y6ESZVwLvIoq9oo7IiJttpRXRuSRt91lMYKhe57Pgum9Mlp89vce5ggzYpA2JJ7DRLrpztYa2mf6qeQsO8OtFodIcwtR3H6zlXz86zUy1V1Jp5eM3zcPTJ0SVts8R8KRQr7/H6gKun59mulkxtNwSQdcmzSBV7seEglDksmtmxWbVYdJ7LIlac2dvk3P6MY9sHHN/ZH1wzy+jpohYoBj0XoFHsi1CxDFrUNV6/zJgsbfCkSqiOtdgmqgA5WEKnAlQ70fRSBGK0arOdRKi0xSSiQtN+G5ZXptVAufx9p1qQatVyKaxF8jK0V0rS6YV2bhtW7AeUbdWZtZ6ye8mQ+/lzRPCHf/iHvOMd7+B7vud7hsID4Oqrrx7++3/+z/9J3/f8g3/wD4bHvvIrv5K2bXnDG97wCT3eESNGfPxxSczHDTfcwFve8hZ+7Md+jO/93u/l6quv5j/8h//As5/97GGbT/mUT+H3f//3+Zf/8l/ygz/4gzzmMY/hzW9+80dtu9wbUgW90V68jVnMZ8B1q6JCsj6jPp84/u6eg2stZx+nkd44qPa0zdJ6k3Ugapv1+xaphVRrZWI80FnMgYEdQZzgfEKSIe7ViBXiCV3g6iogp2vkQzPSdXPCtcpyWBfZ7xpiskyrisppXkfjYGvSYk3i3HLKRtWxUXVs1i1T33NmMeN0msEWTLw6VXY25zzpkz9IK54P7J7gWLPgRDNn4gKV0SAyETMUEbcvdzBAbQMTF3L7JVLlBNEybwVgmmfFfNRzj07s7cQRxHG+m+rE2+ixJrFVtfisXynTcedR58rctdhi3tc84rq7qW1kVneAcBBq9vuGO/a3mFU9l8/28TmR9aCvaYOn8YHG64wbStuqr1i0FU0VmDSdilWTJX1oAmdrqhsXmM2gM1x6RzjXgBP8Rq/tEDGwtJiDCplGTGYuJBrcgVUHzCxlhsPgWkN91hBmEGara+3YX3RUe8KZm2rCzAxFimtFxcmTrPWIKo42OY9mmJT71xTveMc7cM7xiEc8gh/4gR/g9OnTPPGJT+Rrv/ZrmU6nALz3ve/l+PHjh9KQd3Z2OHbsGO973/vucb/3JlQfMWLE0cclJ5w+5jGP4RWveMVH3ebTP/3T+dVf/dX7fFAFYsqcDHNIzwErWjonpytLshTNYCjbZSuuiWYIHFslUhqIeUOj2Q5GgKiLkQ4mkxVlLypYtEa1HymBtBYJukh7J0P8t4ihD3pX37gcqOUiIoYuOepks/4j4ZxqFErEujHQWE1Q3d6cs9dNOD9vhsmzNh9rbTVKvdzhxpTv9nMrpbGeaCzRaIhZEbvqf6eLbsYFk7M8DEk0rCuhxU3MbpZSiFRoBHyZA7POpLRlFotYZjMtropgdBmrYcAe9DROE0dLoFiX3BCjXoLduujoo3qtDQz7ikkdSrQWK3ohpBzFLtGsovLJ104ykFttUnI8cr6HWbuuSsCciZodM8SkJ3CtFhrlnA+tESEXYHn4XLrg2r1PFz9HXnD63ve+lx/90R/lj//4jxERPvVTP5WXvOQlgyasYG9vj6qq+Ht/7+/xnOc8h8c85jH87M/+LD/1Uz/FH/3RH7G5uclisWBjY+Oi99ja2mKxWNzj+380ofqIESOONo70YDmxhljltsZadHWY5kyGHOuAF9pjlrs/rSFOcjCU1159mICtdBEyIbdSXA6IctrzN45BJyKNrhzSO1ylTIfZUMagCx4nCVcnON6TnnRA64TlsmFzolba2aQjRsu53Zk6VU6ex9vE1PcqpOwaFqYmYdjwPbULXD7bp0+WU/NNDMI1W4bG6VTZnXrJhu9ok2evb9jtdUDdZZP9IX3Uu8R1s3OIGEJ2vMxjrbqKviGJRQR2mqUyMTboAp9XJ8HoHJioItCDvlYmxwjHmgUT17NV5djzPNeltFAWSd/jXDcbGJaT07kel42AYb9vmIeK2/a2aXzkuu1zg2B0GTUDZBEqQrJMa804SWJoe8/dZ7ZwPrG9sRxms3TBsegqzDU9XBWw06QulN5rG2wjYvJ8GInFcmuQRvNaDNlyG03WC5kcLGYwwSDW0G/KWmtG7bTnHlNhA8p6oFZcgH7zsNBUr1VDLI6r+zDb5ahrPubzOZ/zOZ/DU5/6VF7xildgreVlL3sZn/u5n8t73vOeixiM5XLJ93zP9/D85z8fgOc///lcd911/NIv/RIvfOEL2d7e5ty5cxe9z5kzZ9jZ2bnHY3jJS17Cd3zHdwy/7+7uDknLI0aMONo40sVH6a2bKLoANGZwuCBKbws6/0UchA2LWNEWjcs3fk5jtk0CIsME1xIyZYoa0MkQMibJQG/BRXCq8yCh7hcPUmkryEyj6gui3okXN4vJQ+QEQx/Ve9m4PDsmL6xd8OryMDYPUlNmogRsAQO7UbtIxOCSI2RGYhk1Jn3q+uygKQPSsq7D6LGUuHdZk5Zq7DhYU2LWyVHrmTHIhUf5cUZy1oY6eEQ0PC0kS5vUySMwsCqV1bj1kBmeZfTDlF+XPw9km2x0dEE/rzMr9qiPbjh31ohOqQViDg+L0eKqhLVJv0sxyMIiyWKq8hir71LKd5y//0guNPSsQF7wc9hY8uu6Di1cY6PC55KbXnRHw4BD9Fq1HYjX4pnV7h9WeNe73sXtt9/Oj/zIj3DTTTcBykQ89rGP5ZZbbuFv/a2/NWxb0o7LdgDHjx/nmmuu4cMf/vCwze7uLrfeeutQQHzwgx9kf3//0OvWcW9C9REjRhx9HO3iI4tJq32oDoRUQcraDZPAH4A4ITa6XfKiosClIaC/J6f0u+10cZV6NdPFRIM9cMgkIVXKuR8JM3fQG8QlsFGnpC4t9tYGM4uEmQ6cq31kGS2hd7TeIximVY93kc2tJSkZzi8n1C5yYqZhWdt1y0FXc76dkMTQVz2bVYc3kau3dtXxsZhhrdAlx9T1bFUtExeYuZ4+aUvj1GKTZfTs1MpmHKsX+DxjpclD6Lb9kqsmJncSyqqrRZJwuB1QWjNlpbRrDpiy6AuGRSxulynLULHXN2xVS443i9yKyVN9xXC+n9BGz243wZnEtdvnh4KmzWzHftsw7yt2JksmlVIEIVnOLaYkMWxuLfFl+m90tMHT9Z7QO2of8T4XgJ3DfniCMWAfudDvWAyydLBbYSYRJppYJ8lgF/odp8lK62GCwc9NTiVVgS2S2y1LZcuKiNkGTToVA6F0CxJUc2jOCu2OakbKHJj7cu0f5bbLYx/7WK655hp+4zd+gyc+8YkA/Pqv/zpXXXXVUGwUfOZnfiaf/MmfzGte8xo+7dM+DYBbbrmFD3zgAzz1qU8F4OlPfzpXXnklP/VTPzXYa3/yJ3+SK6+8ks/7vM/7+H2QESNGPCg48sUHaGEhWWxqEsNQOV0/c29eb71Xr8t9+pL5UTQDpHznaliJQ6Q8ro+JFYxVnYeJBuf1TjpNdQ6MBAc+qhDW5Km3C0eYW+JOxNQ6lTWiWoaUtQvOJiqbcDZRex2etgyeykbEal6IN2nl8sgD1wxoGqoNaoclZSZFhjjyeaixWdNR2cjEaey5ywWFXVuJ9HyssQCCLtoXKCMTeQ4Kq8TRiH4eAG8jM9fROC069JiVlemTakA0xyPgrB6LoBbZNmr+CUDj48D+dFEZFclfrXdpNVumdYT9Gix4r9sP7pZotYgcrovcWsktFQ0Ky993Wvv4Zfus1SjXSVrTerCuFzJrv7N6L1i73tzqWiyZNJeKB7LtcqEQ84FgDDY3N3nTm97EM5/5TF7+8pdjjOHEiRO88Y1vPNRyAbDW8su//Ms885nP5I1vfCOXXXYZ//N//k++4Ru+gS/7si8DYDKZ8Eu/9Es85znP4a1vfSsA73znO/mv//W/MplM7texjhgx4ujhSBcfJv/BV2ZDB3+ZuPrjPky2jbpSpFKUsBKalsFywNCTVwYkazssQ7y6qXTQmNRCcgkjFhMMzgnUiXhNq9suK6ra4F3C+Yjzkf7WDbrzFdWNCXEdtQs4awhJ7a977YSJ76malmnVM616zi8nHCwngGo8tmudbXJyckBIjv1QswwNp5Yb7NRLjjdzaqtpoFdM93P7w6tepN0YbLsz33FyMh8KFk0lTYPg1OUV1uZiYJ0F0ZRU1YBEUZFolzx3zTcIyakTxUWO13M2fKJqYg7rknwsjrsXGyxCrZ/XJk5M5vm9tA211zcs+4r9rmG7WbJdL8vXw7yvh3aLs4naheF13fmG9kOb+KsWTK5Yah0ghq71xOCwV/bKcjmBaIi9xtrKNOm8HitIZ4eMl+J+woAJdrBeC3p9maBtmLKIl0LWxnwdriXpmqg/yRu6TXW7qC1csOE+VBEPIPNxoQ7iB37gB/jBH/zBizZ/4hOfyMHBwb3u7glPeAKve93rADg4OODZz342j3/84/nlX/5lrLXcfPPNPPvZz+atb30rW1tbh177GZ/xGbzvfe/jTW96E23b8uM//uM85jGPObTNM57xDD7wgQ/wu7/7u4AOpRzzPUaMeHjiSBcfNuS+vdUiwqQcJFahFsrca7chtxWq7E7xKDXerS0QeSid6Y3Odqny3+ZKXS5mqYpBccqMGAd2bvVm2av2w1ohJQbnS4gWa0V/NgNYocMS2go3SUNol2Q3Rx8dy+CHNsIQ/CXQRk079TYpa2GEJkeOF4fHmeWMWRap1i5qMWESlRU2fUt0KhqtnOo/+uTUBZMdJd1BRYqWatpjXMJlAWdMlhQs/cLjm0g1CUN7JGEwCFt1O6SRluO36PMhOvqkGR2FqZl6dbNoUJh+/jZqcdJHjzEwq7pBeNpnxiNELX4K4yHoeV60FcmBPdFhp3EYNCfJDgm0xuYCIzth3J5Te3atcbiSDKYzmFKUlLCwZLQtF0EqVBuSC1Xbs7qmijEqlEIDLWyLG6Y4rfK2pT1juo///ysfDbfeeushNuLeWI/f/u3fJqV7p2nquh7++9d+7dd497vfzR/8wR+wubkJwKte9SqOHz/OL//yL/NN3/RNF71+c3OTZz3rWR/1WE+ePHnIuj9ixIiHJ4528dGrGxaryaU2CPSQGkMyGhZmEjkuXX8XC7ERZSzaHHnttFdvBGxrwBnSJBcqlWBazXtIRlkPtd0Kbq/G9Ia4ETBNwvqERVsLKVn64Khyy8Ae7zA7huWyQuaepgp4rzNcQg7JajGkzgyLbmFA9tqGZQ4g8zbhmoW2NHyni7uznFtOuWuxyfZkyUbVs10vdZS9Vf3J1PWU+SxR7MBCtNFzECqWfcXp247Rzis2r9rHN+pGKYt7f1BzcPeMrRNzdi7fZ1Z1THyfc0UiJydzXJ4LA1rsRbH0yal2IzTstQ0Hfc2VG/tsVjokDoSQw8zOdxOdQJssEx/YnKwyGpbB00a16QLUVcTkdksfPAcHE3wVqa+dD06dGB0xOlLKAtrcWonRYpYWd9pjtuKQ1YEY7NJiFpawHbVIyFZcuzSZZSs0B/kaMqodWpv5Ynu97koRXAoStxSSN6pLyi1C1wnSPrjMx/b29kWtkHvCpWTxLJdLqqo6NJtlMpnQNM29WmNHjBgxouBIFx/F5VLGnJugDpcQweS2C+TUSXLPPW9rsxuhDKYTt/a3PGs5xGZ3Sx4oJgakN5gKsELcjJhoSMFijM6BwYCro4oVz9fEWY/d0FwKawXvIylZlr3HRcu06TFo0mkSXeiXpkLEqGDSapJnJZqXkZLh9HxG5SI7zXJwiGzWWrCUHIyzRZBZt1QuMXXdwFYYo2Fj3mTxqesIlWP7yo4YHNVGj83MAmjrIk4c/XSXZtLRzDqqrD9xtqSHZJYj6Syaeajoo+egr/BW8C6yVbdsVF2e7aJsTRDL+eWUmIxqNawGr1mbsv7DE6IWZyFZKheHdlBKyniEZHFVxLmYdSOGmAzpoCK1DjtJ4HV/JENaqidbjkW116KshwQVk5omt+KMio5NLL06BsaihIWZgP5fkrUeJXUXycVHvu5MyC4XI6QqT2NOuc0XL72KOOpW26c97WmEELj55pv53u/9XgBe/vKXs7+/z9Of/vSP3xuPGDHiYYGjXXykVUGB1cXA5vka5ILCkNszlpWY1IERGcLFTDKIKwsOh7UfPhcfZZR6sOA1QCRtJB0011tlQhrdv/OR1Fak3YrkEnEa8S5iraaikqDtPdYKTaXMROODCi1DhQRDTBZrWo0zdyowXQQVau4uJ9QuMK0ClQ1UVpj5jpnvNA49Oc63ExV2iuowisi1zhke3ubJtYPSFiSPsr9XHGNwuOgLyGVHFs6iIWld9JzvJixDxe6yYbtpOVHNmfp2EJ4KqA03eM4uNMVye7LEu8TEh1UrKDqWfUUfLSKGSRUGO3JMlkWnK7wvDJMVQsx224UnzT1ussR4bW9JMkjnVFe6nXNajOg45GC1OK1Xc1yIRn8KLGrDjWYodksWnRWy7TYH0mV/rVFTFC5ItuKWaywXzw/DhNPHP/7x/Mqv/Ar/5J/8E378x38cgGPHjvEf/+N/5MlPfvKDfHQjRow46jjSxYc4g+uEaFT3ERqw1aq/LjmLIUxVOFraLDFPv5WpFhlukRkRp0PoTAK/Z5FK6J0Z+v9uabCtISLIRB0uxoEEXYRDZ7FOcHXENBFzotM2x5kJbHVIE/J0VrXJisBBW+NdYlr3WJOY1T0pacvioKtZ9BWbTTtoQIYprnkYXe0iG7UKWDX3Q2hc4IqNfS1gMhuz1zeEzrN7dkYz6dk+dqDTc13IupGUdbfKjKybbUvcmKwVG1E06bTNeRvnTm+SkmX7xAHOa2jaxAW2qqXGyFudt6JJrTq3Za9tdPBc0+KMFmIG/WzL4Jn31ZCmWntlNUz+7Iuu0vZJFsZWPs9/iTrdtp9XOrflWKe5HkDsrTpcsmtpmGYbLHZusQeWOJMhWMxE8PsGk/Jsl6zfsEGvGQyE6YphK5NvY7NiSkzMbT8M/SyzIaIFseqTDGly2Nb8sV38HGmrLcBznvMcnvOc53D+/HmAew0DGzFixIgLcaSLD8gCUw9UIN4Qi3Wx/HG2Ot22iFHFqvVW01A138MmMEmG9otmNxiNZR/cDTn3Y2lIMw2T0rvmlYNGrZsaaW68pmWmeUVaeuIkYCqD94IxCWNVCNkHj4i2VmyORe9whKiWUxGjzAVQZRGpqXSmye6yIXgtMJKA8WiWho1sVDrjJIiKSpepZt7VnDq/xSy02I1A4yIRizcxh4Tl9lAOIhvcLmKGAqQwEmW/i6CR6Kf3tPiotjsmtqep1EXjTSoRXfQ5eGwZKk1L7WtEYKPRKbsuz3EJ0dFFx6KvtDCyMohYY8qMSHCkpNWAsYKzokFuyRI7R1x63Fan+R3ZQltSS4EclpbbLdFg+vzdTlTTo6Ih1XQgEKesLNnRYHuDVHlicnFnZ0eL+NU1UYoVgFibwVlVWDpxDCm9l4SHQPFRMBYdI0aMuFQc6eLDtYnZ2Z7FZY7k3ZAkWZ9PGIHYWBWUltCxpT6fam2zyHqbJRgsupiI04FhYsG0VqPYayFOhVQlSAa755BNkCph6qgzQA4c4i3BZYeLSzAJGJ/oo6Xfa5hsdLgqUeU2QBccMVr2FhNqH5k23VpoliUmy5ndDUiG4zsH1D5QWW1NXLm1P8xYObc/47Z5w87WgtlUZ6Z4qwLQykZ26iVbvuV4s9DJu5UyBSKGTjxLUZ2EZButiBnSXgu7UPQktjAl2ZEy8x1b16k4tGnCkIAqoCLRLGzd3Z9yMG/Y2lrQNIGTs3l2/GiBsowVy7bi3N5MxaNNGHJPQN0r+8uGEJUNMUaH+IEyHqFztIsarOC2O2ytotQYlfHgQJ02TOOQcGo6g507koV0PA2Ta22v7ZaYIyRWk2uVEVGJh6xstEkFzLbXOHXy464VmnNCbAzdlhlaMPX5SL2XWJ7wA3MyYsSIESMUR7r4GOjrMrK85HqsiflMYTPy9od0IgUmT8WFQTxY7LgmoIJWWLElrdU73DyQzJRY7hyzbecWUyeYos/ZRGqdzgqJFmOFymvglUXfN0SNF49R49S9SzmsS4a48D66HLOui3vtgjpXorIAbV/Rhg4fHc4ISSK1ZRClOg+111yMlNsmEb37T9kFE0XdJmWgGzAUG4JGnGMT1hhMdrdYK0xmoZxiRDQALeVj67MOpO09bV+xKcs8TC9gkbxtzuqIji44jEtMjMaju5xeGrN9ubSTSiEkuXCK0RKD1bZXlVZBXkuribQ6SkbttoaVniMYqGVgMZAsMg0rgTJk10rWFK2HlQ2sx3q4GAwCVBPz44XgSHkcwH3J9yiX7BEXnI4YMWLE/cGRLj7ixDKfViQPvhWCNYhH7zDLQiErN0u/qb/7A6XR4yRrPFzp7QvLy7WNk7z25Ks9S5wmxNuV+6XKrEmwmgky0TtptgLVGcP2Oyu6qyMHjwdr83yRWrM/2rbCtB42W22z1AFJhi5CHxxn2w2mTcd00uGs4H3Abi+IUe/6oWHSdFQuslH3OJOY+kC9fcDOxmIIZD09nxGipfKqE9lq2mFuyjDB1iRcdr5omaOrY2E8yu9FlFrWToOsts2PtdGp4DSqK2W/bYbskonvmTY9J3YOOLl9QOUzIyGWPhkOuoY+Z3V4K5w4dpALMHX4dMGzP2/oeo/1Eec0ARajGSShdyzntRZmk4B1grWJlCzSWzb/1OPmhnM3JeIsFxgxR6snFZji9bslqMbDHah+o9+U1ayg1tCcMcRambHSbnFLg+20vUfDoPXwS2VE2uOs6UUE10KYWWJjtRVzHwbLPZTaLiNGjBhxqTjSxYfOazGaErkUYgU4g7ic6xCU+jfJDIJSItgyQj3pArJiQTKlbmVo4WAEIwbTCdR5H0bAmiHxkpStDladNEMqaqei1eKoMBYk6nMxOHAJa+MwNC4aZQBi7wipwkwCpirR4gbTS2YkLDFA14PL7YnSgoh5WNswkXZtJH0y2lbRj6U6CeuUvVh3sZQp7+aC1an8VkSgKQ9xS2J03zAwJ4kyRF51MardKIPnDCkZuqWKRoMpbRQwNuF9HIqh2DlC54jB5mF3DCJaBGLI0enZbuKKewUgaJiYYEgWLS7W9ByDhXad3YhadJSk9YHdWJ/BYhjCwwZ2I60EzuVkleTS5M3qsV7zPlTcvFbRjRgxYsSIAUe6+ABlKSbnI81uRFyFeKdZDYDPLpYwAbxua7L+0EbN7FjXeBgxOSDKEKYax95vqyi1PusIW4mwmQeNWcEuNXI7OcAnbJ3ojwlnnhowncWcqpHtQNzq1WabJ6+mZFge1Nqu2GxxLlFVMcexJ9LdDfunNqmvO8Af1zAvbxPbs8UQJd4fVOx+8Dj1Tsfsuj0ar6JVZxPeCPWGjvSNaMHRJ0cb1EHTd57lvGY67ZjOWmofB21FmTxrLlgURYrDxazaKdGyvzel7x3TjZaqiszqDm+F7ZxBYvPgOYyQkh1Eql3v2P/ADilYZo/cpaojs7ofipU+WrpY0d0xJZya4K5dMNnu8znUjJAYHMu9Ru3NdczR6QnJLRh2K1g49h4dNK20zgVZb1Vg2hqkElKTh65Eg983Onhwpg6nohdyreo1+i1tvYkpOR9maLdILmRtrz9+rr/HbX3eRqh3I9O7A4vLPd2WGzQgl4qx7TJixIiHM4508VHuRMUbYqPqURME4zRBMmX9hsarA5nNSE61HD4IYUMjHpQWV0cLonZb1mZzSInUDmUeTP6BHL1tc1ZIXuREoBd946VDyowTI9gyMwSIrQNvsI2yNNYI1AmZBaIxSO903krWgRjQFFEfNQysiWp5bQ1h4amaMGReDDfomVkRi7ZdPFAbKq8D3bSNkqe8AlJELmsQzJrVljy0TtkWZ5IOf1uzApeiY71o6TudNhucvpebBlzU2Tg2n4/CpvTR0QeHeDCzoJODs/UoiSEuvRYYRs/5kNeR5/BInykIL6Ra/9UTrq4WZE10XK6lzISUmS6l8DCpOFbya8xK/+EWmd/JuqKSZmpj0Qit9m+CIFavVXG5pXVftR9j22XEiBEPYxzp4qO0VbotR7+Rh43lLA8chJnelfqFkCqluTVECupdodqDhYXe5TkwlLtVo1HsHr0zrnTRMGJwC6MakBpSkzDJUJ1RqqX3gnjBVglpsnNi4TDnPGmnR6YB5xJlaq4EQ3d2gq0TnFhgXZ6JcrzFHWtp24rloqYLDmeFjanmfXiXqDY6mk/qVDcRHQe7UxZnJ8xOLmi2WmZVj7eRyimbMcmTcDfqDsSQtqE0VlKx0uZ/u1hsQCuYoaAQfLYEGyPsNEtAnyu6EBFtzUTRwXltdLS9Z352SrvbsHnFAfWsY/PavSFxVUA1IsExb+tBPNpsBeoTy6FwC9GRgqU9O9FibafH2IRzovko0SBzjxx4ZBZhGsBpIZR6i+kM/rxDvNAfiyuBaW+wrUU8BJ8FxxRbreo6xEFfrwSm1R40Z6E9LoTZqpjwCy06+9mqrWKi4Ft1YM2vtENR4nqB+zLbZSw+RowY8TDGkS4+3EFP3NR0TLE6J0N1ADrrZb1nP6SWDmFiGhAFaqss00tLCJQ/0P9OZfhm0QrkLAeCGabmpom6F+ozltQkwvG86FiBSnM/6JWKSdOgE1RL0uokh2PtVbg6wXRlVXU5K2TQN9zZIEaIl3Wq1bCr4XTNpMNsQ1VrUFcbHB1K6xsjNHUY7LIlRKxgNb02MznOXLwwrb1m/fX5kWHMfcytlbbzw/ciqJ6jmfQ4oyJb71IuOoyml3aWdLomOmBTJ9a6KmmbxeQCKVrivCIFqwFiVgW9GG1lSWdh6fR7qtNhjUeE+rTFREOsVTQ8OJRKhHpilXQrK3FyGRInLn/auLpmwlSZtyIyHZwt+ZwV95UNartVMfOqUKnOd/i9cdbJiBEjRqzjSBcf9dmW5WUrett2gutXiaZSrdHemQ4XryxHmKhrQV0MeXHxECc6g2NytzpiwmzlliEJNt8lI8BEY7jDZsLNYeODjrhh2N9S94RxgtRJnTN7HtMaktWQMecjxgts9rB0hNMT4izgvOB9wrpIXQXVPwRH6iz9Bzb0fTf2cZPItNJU1Non6q2IbLaqhRCjM0+io1tUGANbW4s8yE7bJFXWTgzBYtnRAgwzXS5Esd5CsdSaQXjaJx3gtix6jr0p1iXqSaDygUkVqLeXQ0opMIhjl70n7VXw55vITsA+bo7z6nYZBLNRNR7xXIMEg728xfiUJwlnjcfCY85VyEYkzeIQApeiTqudfsQhFvYeHdcm1qKTbIM6pIow2eS5Lc1Z/bDLy1UbVFgP12oR0e0wzAUq7ZZSfBSHiwlaGFfzRD+zGnoXwUahuXOOOb13ydf+el19XzFqXUeMGHFUcaSLjzircJ3Oy4hWY63Fg+11tkZvNUgjVQbbJTZuj3TbluWJHCTuVhNIbTAaGuWzLXdL/3VLTbKMedhY8qIj1luIzgwzZKSC5ZUabja53RE3E/1xKLkSTCLiLJOPWFyyLG8AmeSFuErYnU7Fib3TO3xr8VXMd/6CqxLm2qVmaBhDaj1xt8LVqv0oeRvGCB5hWvekFIe5MN6pg6SPjk48B63BLCxm4WAWoElYJ4faK+us0ZANknQ+CnMHrUU2I1LLwEAYI9Q+sr250OTRHIs+BIWJGSbNdvs1KSpbRCX4GxbQJMSVUDFLCOp0iVETYc1MbcGmbBMsbs8w+bCnnxranQh1ZoxEsz2auy22NXQn0tqY++xs6jXFVCxrOR9qq7VBi8/BESWlKDHDQLlUbLgJJmcirhW6LadsiGiB4Rd6jfVTOwybs0EL5f7YBPER3n+JF//YdhkxYsTDGEe8+KjxXbbFeo08TwJ+KUgQwgTEGM0BmcPsrogRaI/ZlRhQVnS5MVlQWDJBcmplQoh13t6BnWcRa5WbD051IcsroNozbHzQ0gXotpX9ME6QRtsAkzscfs+wvCKRqoSvNC5dfCIFS+g80QgYNyz+ziWsT3BN1AKg98TWEc5O8LOepoLKR2pUQGqt4HPRIXW2rGaWoQuOEJ22Rc5VyOkaOdnDVsBXMYd6ac9hrfYY7LExakFgz1Sw5zFXLjGbgUmtepbKRazXWTVk5wqsCU+THkMfHMtzU1K0VCeXuCpirl8O7ZwkOVitc/S9HxZKP9NjNCbvM1r8nmX2Hs/i+sTyarUzGStIbyBYqtMW1xr2PykSG5S+SAaC0Xj9zhAnsgqWy5NpTTCadHuofWLU5VJi1O3q+pmcSfh5otty6qxKWdicrbVhalbFTdAiOew0mhkyYsSIESMGHOniw0Sh6iJiHcmbIS69tFpsDyJCrAxhYti/1hNrg59DbBhEpcnC7K6EScL+tUqLq+FDhaYkZUBSpQtUqvVft1QBathOQ2smToX5dQnbwcb7Pf3JqAyI1VbM/o36XIwO2XcqirWibg4n+CYM0eZyuiYtDenyDiY5/yIzC2IT8TIdbpdErbuLboKbRGwVqf2qkDC51eGN4KtE8oFp1SNVi2xbdedUaRi0do98fGkllBSz2sJJg5lq+6hYYMtry+C5lHRWS4iW2HpSZzGTiHFCc6xVaUwTcjGRWzHRwZ6DsxVsJews5c+gzIqI0SFxwSJzR1/B7qcEwsZK4yG9pbnT4vYt/bbQVrIacZ+LDr+vRWicpVUIWJ9ZDczgdCIXHtUcNm6LhKmh3bFrNlwtJJYnHGbHrobH9aKuF6si5rK9jeCXCb9M9FM3OF8u6dqX0Wo7YsSIhy+OdvGR8h/4INgoRGty1oLBiKwsttnp0u644TUp0+JFNFodCLYT7JU54dSpsLJQ9LZEbfvVADq30DvY2B9mQLpj0Jwx1GcNcWKRLXLct9Cd1NkwZt9BB6myGJ/nwBg05yMpQ8DCIuc9cTtCVdJSVYxpHDgftTURNeWzn9c4ely2nTgxQBri0Y3R12qBEJEK2LhYx3Fva5JBF38DmuSZfx9en10uJe68hJv1wdEFT1x60tJR+w7nAtW0X7ldBA0sS5Y+WOzCY89VUPeYzahx6lnfIckQg4VgMZ0leWFxTVy5bZI6idyepTpv1I2ymVdrUcbDhDyheCJDsQDKVNiwZrktOphksK3QnFcmJJ3Mi7eshsSFmR2yPorGyIRy4tau2Ziv2U4wE1kNobsUjG2XESNGPIxxpIuPVBu6RguK+nyi27LERtssNsDGR1rEw94NDcmZlWAwLwy6+GshcXCVzmtxC9UB9Nsy6ACKuwHAyAXBZElbLWIN/bHMgHih34a9G5M+f8YRNw1pklRkagU2ghY/eb5I6GqMT8gkJ566BJd3pOO9imF7x3KvUgZju8M6UR2H0XHyfkNoJr26dmweLd875nMdsWomUQWgdcgZHToYrrAipbD4aBiKk5IHksWghbFIydJ1qllJS6dF1VRdNnUVYCtiNhgm/gJD8STBEnZrbXs1CTYjPGqBqfVclIIjLj0S9RgwgtkKK6YmGlI0uAOLXVi6Y0J7MhGzq8kEi+mhPqesRb+dDolCbVBbrQ0Qaz2PJj9X72rhsPsIt2JQYikwVGNU8mJMBLdMbH2wJVWW+RX1wJ74ZcLPlVHT9oy5b/HqI0aMGPEwxpEuPsQoo+E6vZM0OUIj5TtW1yZ1OgQ02tys7mRNEhWZOjQTZJozQbKew+TQS7F5bROyLVNnwSgLgsZrx9Lfz3fMTouWVIE70DkhJugdd4lgx+tUVTqNDZeoU3WlFxVTeoEmKcMQHETUYoouoiKClSwQdYLxCbwyCJIn3YoYQnAq1PSoUyczCILBsi4wLWu4rGLH10UfhhyMZkqq+FrxkePbk9FgsGBzOFrC5CJBmYs0aB4AFZsm1aOkYIm9A0mYWpAqwaTkmev5kWiRoP9SLMg+G4Tz90OwWRBqCFtCmuQnxQwFxiAWrVafz+ShgCatPntJMbXZKivW0G8wMCzKomUGZI290GtLrbWwNuAuloJFcpFcCtr7SEGMzMWIESMeprik4mM+n/Pd3/3d/Lf/9t+4++67ufrqq3ne857HD//wD+P9ale/+Iu/yA//8A/zoQ99iEc/+tH82I/9GF/6pV96yQen02mV0UiSZ2ksQab6h/3gugYEqrkQA/Sb6n6JjcEvBH8+0R439JhBPBgngICbG6xXdkMfF2yfQ8aySDXV+ly3IzmzwZAqQ7+d1AXjhTSFNIkaYrXQybaUu3srmFpj0CVZzMLg7mpI25Gwrame1mneB15FqdqecMSlIe5ONSfkmMaOe5cGJqOuIvhIU4WBJSjppEkMofPKYCRDClaPq9PY8cndygKFGUNBFqdCezIXBZUWSNYJJos/S1tkOu10Hd7UkfcmZ2NoS0bfr8/zWDhTK0uyHcAl/LF2SCstDEvK27ozHrewpOMR6qgZHqDOm6THXgSkqRLiNGbtj2B6iwlQndcqoLBawMBq2U4j1GMjh5gNP9eiNDZZ/5HHENsA1b5Q7wn9hiE2q6yPal+Llv3rGr0+zSrnwySyPkl/XC8aNHap1/6o+RgxYsTDGPav3mSF7/7u7+bVr341v/3bv81iseBXfuVX+Hf/7t/xL/7Fvxi2ed3rXscLXvACXvayl3H27Fle+MIX8g/+wT/gj/7ojy754EzMC1BmKGwQXJeUnQBibVVTscZOICtBKjBkMAxR7YU6v2AcugoPczZEzoAoTMuQA2JKS6eEVmUNSgmugmGoGYUJIb8u38kPrY2UBZW9RZJuZJyKUstx6H216kNSTgQti7XkO/gy78Rk5kEZjjWdxj2c16IpHX4Mw+C49Vv88toiBDWZ4Vh/Ty2stIiI+acwHqVlQ9Z94CW3Y8wgGpXyWSS/n5XDV2XM5zGidExmaEogGIXRCKvjTtlOrd/vGuOR6Z8Sn27KPtNKeDpoPFoZZrIMwtSk16RJerB6/Zm8L8G1KmoeRKwCJiRsN1YBI0aMGLGOS2I+3vnOd/IFX/AFPPnJTwbgsz/7s/lbf+tv8c53vnPY5uUvfzlf/MVfzHOf+1wAXvSiF/HLv/zL/ORP/iSvetWrLungqoNAnEoOhrI0ZzpttbiGODXEnOlQtB5+oZbZ2BjCVB0wzW6iOQfzKyFOtA1TFh6Nytao9WhLRLvgFoZqqa365CE1qgHptnVB8geZUp9okqbk11GJLoLRYJcerBA348qOuxEJ0zQIJqWtSMEgWwFTJ6zX+TC+ilBpdLi2WCAsPV3rcjtC8NOA9YJzUQWn2fXicj6GH+bOZpR+lABX6mJfTBhGdCptkyPoV30okPV+AwxOnZAMIpYQLKlXp4v2agx2GjQg7ESbRb0yvDYlmwPDHObA6bmtEmEnYo4FbVmh58cEi913Wix5UcFvXWw5ZggP8wv9PGFjbeFPZJutfsexZrC8GlnlfJSWSvK5NgngD4TpaaGfGZbH16LSO1nNgClFrGhrptqPTO/q6Lc93VaFEVG31m5A9ttLuu6H72kUnI4YMeJhiktiPp73vOfx+te/nj/6oz/i4OCA3/md3+EP/uAPhkJDRHjLW97C537u5x563dOf/nTe/OY3X/rR5VZLMTEkr20PGwTbykAri9UFUp0xHGI5ks/BZAFst6Kiiwtm0HQE/W9BmYzk0Kj1sMaqmLW7YLPGkGjkhaIwHHl2m11aTGuziJJBMLp+By/JaDHSOaRTJkDEDNN1TWZOTLbrGrcaWx+DI3aOtKcpoqFzhH4V3JWSjrPPpJCeRyckn987/3dyq/UuCfq6ZIlRhaChd4TWkXY9ac8T83uIrBgYk7UpxTZbRtlLjk6XNn++UELgZKXtKAP+Sj7H0mLaEqEvw74wMuRrmGhya+6evhczBMxp5kvWjpTvO7Me67ofE1ehdCURtxQY5Tnbr77fogtxbcImSHUeKFeKn1gm/l663aW0Xe7vz4gRI0YcRVwS8/FN3/RN/Pmf/zmf+ZmfCYC1lh/5kR8Z9Bx7e3vM53Muv/zyQ6+74ooruPPOO+91v23b0raru8Pd3V0ADAa3SGpntYZ+yxME/Dzhl5FUq5sgVrow1AcyLDal6Og3lAWxnVofxSv7kSqGGG3JYsZUq84j1UCtDIjplAERrymoYvUO24Q8/yOoziRNUnbJiOo3nMEGHUonXuiOG207ZEuu9TlttUxpXXpodV9s9eDz7JfCZjgVp5bWSIqqr+g6j+kM9e2Vvs+VAbxgqziITwfHi9WWzL2thUXMuvrX5BYPpN5hOkt9p0ec0F2V2Y1KHT5VrdPT1vedchEVewu9hT2fB/8lxAlmK+q5MGjrSXR+i+nzeTPQH8/ajjx1mKSMh+3s0GZLdQ6ikzXGI4BbGJ3xUxgPwHVZmJqFpLFhFTDWQ72n3/HymB2KRBWyCn6hwudu0wxtHdsLzflI8oblyXpot7hOsF1CrCVNHJeMkfkYMWLEwxiXVHx813d9F69+9at529vexpOe9CTe8pa38OxnP5umafj2b//2e31dSgnzUe7+br75Zl760pde/IQIbhEQ54eQMdVYaHPe9rpNqvVuM+aY9cmdkW7H0W+vDT/Ld6q2009dTA9luqmNaJVhcqR2yfxIZrjTVhFhTso0DGPWIS94vQpaiz5ErBCnetduEtAbTG+h0um4lDv5ovMQ/RySDG5umJw1xJnQn5BBqFlQ9BbOR32zY3rMNhc368mjIkZbMHnTe7sjljWnytBuMYKxRhNYEdiR/D65nbSWRgpaRBSRaH23CkHnxw1iDKbOEe0D4yGq/RAwnckj71WUEScrhqEMiLM92NaujtEOm1NSRYm5nZJMtlkr42HXGC6bBxAWr80q8ZRh9gtrxUx9vscfJKT2pGrFbBQXltq8DVgDSTUhto24NuVi99KZjxEjRox4OONjbruklPg3/+bf8O3f/u18+qd/OnVd8zmf8zm84AUv4Cd/8icB2NraYmNjg7vuuuvQa++++26uuuqqe933S17yEs6fPz/83HrrrQCYmPB7PW4R1ekiWgDEypC8xXWCbyVPK9UR524R2H7fAc2ZMARAqTVWFwHX6h2syWLCWOniZXstTGxrDj2XGrXs2s5o4mmXxZG2JKFqiJSbG6pzDtvalSXXC2E7EjY0eMwuLe6cxxw4pF+tfsYnTJOQjYhMI5IM9pxl409q6vdX9AtPaLXNkcpinRkR30T8RoBrWsxVLX7a4+qoRQFaDKSoltzQefrW0y0r/Vnkn2VF1+pzoXeE4DKzQm75lPfph/eppgFfR1yeFyNCFsU6QusJ+57puypmf1Zh5joRV2YRZhHTRLUag7ajeovd93puOr0kw1YiZGYEchtlYanO6RwXbcPJMK/FJP3uXKvfFUmZqkHL0WvomO21TVbYryIw9QvROUK5WBjcMkGY3tmx9YE5pDREqJsEbqkFcKqtFsdFkNxr0ez3Or1W/CV1N/V9x7bLiBEjHsb4mJkPYwzee+SCzIKUElVVDdt81md9Fm984xv5tm/7tmGb//W//hef9Vmfda/7bpqGpmkuely8JW5UmJCoz7Z0OzWxUTpcsh5EktoZk9MBcWHDM79milSOZjfRbxpiZkaKMBUMrssLUJ7pEqvMjATAGlJaDSJLVab8MYNIVZwGVQl6Jx9rnRtjW2VB4lQZmjJdVbwo22KU1je5vYARpJbVePi8v7QlHDwG+llmSJIlLQ0+MyxpM+nY+Lz4D7NaCmFRtBL55YgMd/MDq1G+yvKa9WFzWXS6YlDyFim/PmW2IxnMUguDmNtWYMDD/BFR48enmp1S3lOi2mZNbzClvVOmBFcrm6zmrmibxC0zIzKVIQQOVkXHoONg9b0VHUfRf+h3qzkxUNojq9cVWzf5dX6hhWrY8Cy81fYf4HowOcVUv9use4mCmweqA00VixuVMiLpPlQBY9tlxIgRD2NcUvHx5V/+5bz85S/nMz7jM/iUT/kU3vKWt/CzP/uzvOAFLxi2+67v+i6e+cxn8gu/8Av8/b//93nlK1/Jn/zJn/CzP/uzl3xwyVvCxFPtdriDnjhxpMrmP/aCybkKmk4qmsGx4QgzR3WQqHcTqbIkZ4ZsBzHKXNgWTJXvfo3+a/tVlLaJDBbb5MsdLUrrt8qIJL8mdmwESeD3DDYaxCal/YugMos7o8+LbmeGwCsxCSENBYPxQtoUDh6dhhaG5Lhxzlns3BJQJ5Cpomo5XFoJU0sRYcCuFyaXgFJjDu2UXHykbItN0UJmLfyexZ51xJ2EbCadI+OExSNkSFU1xXabP4tpjU7cLQLdJk+kLbfrUc+P6ZRt8vua0RE2Vp+tiEbdEkw0wzDBIccjW21LgaHZLawcTymLkGMuqEqBWgbGLYR6N9FvVrQnzFqseo5P71XbE53RVksEv4hU5zr6nYYwy/97rbLURowYMWIEl6j5+Nf/+l/z0pe+lK/5mq/hzjvv5Nprr+Xbvu3beMlLXjJs84xnPIP/8B/+Az/8wz/Mt37rt/KYxzyGV7/61TzlKU+55IOzUcBDnDjE6rTR6iDSbzhlHhqLiUJ9PpAao9qQ3LOPjcmiT6j3E/2G2mPLna0NQAC/yHbaOhcaQ55DvtvOAWSF5kdQDUQH031D2MjsRNajxJkQNdwC24NfWMRD2EiqTchaErLLBSHPInFZiyCkaU7NzFoQYwUqDTZLxxP9tslsyUpfIa3Vwikf8yDCLIxKKYJgYDUOwxy+217LKynsAiiLUVw4AuCFtBXpm4TUkuPlyXoOELRIIWqAm2CGMfVpkg65gxAtFogGf5DbW7kFEjbTKmslZ3PUuzqVOE5KtseqBaNiYjP8d9FyFHGpa1m5mFhpf0xULYef64noN62yWiYn4+brzSQGIXRptfiF9qnCVo3UNl9nmk1zyRiZjxEjRjyMcUnFx+bmJj/xEz/BT/zET3zU7Z773OcO9tv7hZgXJu9I1mKS/iEPU7U0Jm+wIvhlJIrFdgkqvRNVjQf4VrAdhAaM1UWqBFoZEdUHwGCrTC4zHNn9UFiRIWhMQFkXqPZWhU7KdtBUM4gfTUBTOyvBNEaLhVwIDOLOpHoEE82gZSALJbWdYobiwVi0LYFqOYwY1UwkZVOkM5hdLXbSNOtRqrXioySC3pMEQVhNtM0MBSnrJ4KBeT5PNmnxVGmBZKwgjSa9wtDpYS29TDM7eoOZO31NvXZsJhdF5T2jZne4hdIbYZbtwDWrxTSBjQa/AJcnGKttWJ+22YZru7XPZzKDlQuO8v0YBDFmNfU2M19uqd9laMzK9RLVMeWX6snuN50KaUUHH7o2IdaQJn6YZGtCwvTxki/9MeF0xIgRD2cc6dku9s6z2EdM9Q+6N9he2yy+TaRoCRO9M26PVbi9JZt/fBfdlRssHnV8oOBjnWe6LARphX5LY69TpYv3YLvMlLwuZJl+zwtVtauMSb9Z7vohTmGZC5lqT0OsUrWKZE9OdQ59tojaRQmGyJqFetWSkVpAhFABOf3T9gY/dyqqnOhinUpCaG47lBYNAN7ABMIsix1KoVG2ZbV23+uoEbPSShRrq1So1mIzb1JcOmvOG8QggZVzJcedu4U6U0JmhsJWjowtmR2gxYZo4WWC7qsEhmFy3goMkee2z/qN3hAmQpipXgfLMAiu2s+FUpnRsxa17pdg1ua1JGdWVtsgVPv6ueLEDNeBzfNaZu8+hT/o6G44SZqoSKgUHbbX7xCj4lPdX8Leehdy/vwlXfcjRowY8XDHkS4+TNdjQkIqC9YqC4BggmAlYWqXXScWawS31+K2GlwvRECqlWuhhEcN4kKf2Q+jDIgJWsgMWo9sjxUDLoBEFSeut2ii03aEbcE4o/oKa4aQMjG6eGvbYvhUak21gikJrYUJsQYkD35LqC5ETHaGqEhBRGeqaLvCrOy3ZRZKGcQGa9VGvgvPj8n6c6vDOiRY1ZOW92mysHa16cCQDK2jPNeltJGKoBTR8ysUi3IuXjJzo6JS8rC41RtEv3rDVSLt4W3TdKXvQLIQtNfvWjLLNYSIxdX3b6OyHUO7B1Y23D6336pVgWSi6jvcQY/b77KGSFXPJulzJur3Ub5HE5L+LDvMYnmP1/dHxdh2GTFixMMYR7r4sBubVGcWhK2aOKs10twb/DyPq7faXgmNIexMmX/qtdgAs9tb2mOebtvrQuIA0d58vac0frdlB3GiyQug2nA1mKy4YLA6gM21ws77EmEK+9c7ktPFtISSmRySVZ8TTDK0x7TASdm9EadZLyK6ePqDYseAOElaDGXNQmkhdJVWSsMskt5ic0iWyY+nqWohNDeksCKHGQ9gxcGbww/fK9ZHBGdnSxGMFm2G6Q1+mVkG8metUN1KI/R13tV6xlbMLaZsfR0yO0qM/fpxizIcroNqV7+r2BhSIzogMG9jgk4+3vqg5ogcXO2GArK0wPxCrbHKhORBg2ZVjFR7mpibcsGaMvNle2jOBNUaXX+C1hvStAIRXKttwGq/J3lLnLj8/Qpuv8MteuTkCTg2gz/7WE76+tcl930a7to+RowYMeIo4kgXHzing7yiYGICYw8PAOtUSWgqA9YQN2rMImHaoAmXnWThKcowJA2bAhUIqlul3N5SyAVcLzn9cjXDYxBElmjvnNZ16DmRXBEoTZ9gFTNeZpZQ2Jbc/jAMI+5NFpyWhVG8DAWApLUevpDtslm0ahgCxLS40DfQiO/C5JjDotN7Qy4wCkuQCgsk5rCWI2ZBqKxVCuWYymde2205b0NRk8o50+eTOVx4rDMV+t+5UMnbDWxG1mmU/xYuaLXkMLAyKHAIgMuHbOPqOcprzeq54oAyAmlaachY2W8bMWFV1GENhLS6XpNA4xGp/4qT/tcHp06dAuCyyy67123uvvtugIuSkkeMGPHwwZEuPsRbxDmltfd7wkaF1JYw9eo6OL1AvEHcjFSpKyFMLbGp8cvE9O6e5QlPmNnVnbDRhbXe1UFy3ZZZ2Wmt5lhUuwnXweLyPIzOayGy+yibx7AzRLinmiF3Ijnot1b2X9vp+yUvmvth83ZVFlCmFRNiW6gOlLbvjuUCpBIkayS0gEmqb4AVK1E6MkEX9dKasL2h2oP6PPTbEKar4xxyNNbrhjVWxgYV0/oFLE+ovqVoWUoy6/BZmjwWeL2oWROumiyGtT3U5/Rch1k+f40cKiaBYQKtn68KDrH5nJSiI+s/XLselW7Yv86uEkpT0X8Ik7M6JC7MstNmjfGoz+v3FWsVlqYSmx6h2ks0e5EwtSxP1rmANLguYdtEc9cccZb+xDTPCRJsm3CLoIVQ5RBnV3G6l3Txr87JfcYRIj5+7dd+je/8zu9kPp8DMJvNePnLX85XfMVXDNu8//3v56u+6qu45ZZbAHjSk57Er/7qr/JJn/RJD8oxjxgx4uOHS49e/ARDbO6th6QCvrU7zVTl0KdzC9zeUvvuoE6YTK+7Xt0JJuY1rtwVZ5GhX6qDYaD/LTkcrLgechqqMDhsBsumkKemrjQlRUcw/BQxY7cSS5aZJEM0eC4uyih4isah08Ayu8yviya3PUofhuFcDL/bMgVYJ8CWUC4dJLf67ENUfdE9lON1Wdxai1qMcxS8rNl1ZWjvrL2v5FyOqA4Zm5NGTW+GlpR4Vtkohelg9XmLkFRdKuaiY4PVufTzXKjI6vNoBL8ZCo/y3ZXzOhRdom00V6QY5T3KdxrUNmuTaGuvxKcLmJiw55e43SXirBbIa68zISnrAapTyu93qXg4JZzefvvtPO95z+NbvuVbOH36NKdOneKbvumbeN7znscdd9wBgIjw5V/+5Vx++eWcOXOGM2fOcOLECb78y7/8omDDESNGPPRxpJkP0LtH0/bYPmZBqMDMk5yhPz7BHrQ0f34bcWdKesI1efKtZjCkWnNB6l1hcbknNHY1rdRoYTI9Fek3DMtjbnA3dFu6kDbntWhZnlQtQKwBoyxCaQlU+0J1oAxBv2k0XdNqtDes7tKrvawlqMygExGXnTGVQKVOG2AQVfrWDHqUOMnFgF+xDqsCQB8bWh5oVyNsQ1vqqguZiXvC2mrVHR9qigtee8E+Ug5LS3rMygyppiP5/PmyFbY9Xt5ntZ/SUnHLVXEG6pA51D4ZWl6G5pxQ70K3I4SJIU1WRd5QnCyF5pw+vzxhh8+hs12EybmE7YRu2xL9eoAYVAeJ5mwgTh3dlhuKTdeDXUaa99yJEegeew1SaT/NhKRjANqA7QKpqZDKHi5GLgUPIebjAx/4AAcHB9x00033+PyHP/xhQgh82qd9GgDGGJ797Gfz/d///dx6661cddVV/MEf/AHvfOc7eeUrX8lkooKel73sZXzGZ3wGf/AHf/BRE5JHjBjx0MORLj5MH6ESsFo0lD/kyVtsledpVI54YhNxlurOXeJmTX98urobrvQO2i3UDtltrsael4wO2yemdwb6bUe/6YfXxmYV252dq4MTojAXqdJiBFPYDx0+V5JToRxH/r1YQlvUGWNzeNnaQltEp6kyyvrENUYk6B9vs9TnhiF33qxaNBzuynzMWC9KStFSioSyGMpKD1ISRMVqONug3ygF0sBarLE0pYgo7pUcGDac2wsOpRQUpR1TAsPClGGeStlnYZV04KBmdBTXihF9n+Zcj1sksC5relYaDtsL1b5GwsfGDsMMi/7DnznALnpkc6KshzPZiSPYLmKXff78LhdYgukCpusv5Vt4yODXfu3X+Omf/mne8Y53MJlMBj3HOv7iL/6Cr/u6r8M5x7Oe9SyuvfZafuzHfoxf+ZVf4e/+3b/Lp3/6pwPwR3/0R0ynU5785CcPr/30T/90JpMJb3vb28biY8SIhxmOdvGx6HTgmrdQWez+EtNFnHckcYjzSOPpH3k57uwBzXvvpL96h7Q1GQaEhanDJKE53WOSEKua1BhiBTFT6pO7ezY/uGD/ERNS7Yb+f79hBoreBg0rE2/oS2HjQDYMYVbutgtTYOg3GFwoKbteisZDh9StPmeY5eLEl5aJPh7LTJlBP7FiF6oDowPSci5JmIgmoLqiEVlrjaD/yro240LyY03MagZF5tp7RzNoQkr6q8n249jIoOMQK8NE2uFn7fhLQJhtc4JsRmq0CFvXZqrDRzUofr56LNV6zsthFsGpn8tQrIiDbme1fxNyVsftHc3pjt3HbGpSbmE8evAL1QnFqaM95inWWdsLNiTqW89i91u6x11Dmtb62YKo8HQRsPtL0qwmzRpMTJggmPkSu5hfymW/+uz3k7n4eLdd/vf//t+87GUv4x3veAcve9nLLno+pcRznvMcbrzxRn7hF36Br/qqr+JDH/oQz33uc3nUox7Ff/2v/xWbW1OnTp3i5MmTF+3jsssuu8eiBqBtW9p28LCzu7v7AH2yESNGfLxxtIuPGDGLTh0Dlf5gLWbR4TqDuCnidXaLTGvC1cfBQv3BM4QTM8Kx6aBtCDOH6SOTW88TK0N7/TbJq0BRh9FNSI0fFjAtGLLuwJshmMv2wsbtkTCztMfsSj/hNfej/MH3C8AUx4ys8ihgNWQuVwBGtHCZ3qXW2oNrnd51l6F0awwKaIESZrrIpuLkKdHiAmRWQV/EkMtRZskMLpOilyiHUjQoZvWeFxYphcWIk1wINPlcFfbmAoajFC5+IWzcFggTy/Iyra5SKTTM4UFxyIpFcm05Z4ePU68PdS9NTkdsD/2GshHrNtsSHuY6sJ3Qb3lSbXVAockBYsvA5NZdjLH0GzNSnTNlkmAFqlP7uL2WtDEhbU6HVovtldmwu0tlbqa1OrRSZjz6qCm99wUPgbbLT/3UTwHwjne84x6ff8tb3sItt9zCzTffzNOe9jRe+tKX8oVf+IXcdNNNfP7nfz6f/dmfzS233MKjHvUorLX0/cUMUdd1OOfuYe9w880389KXvvSB+0AjRoz4hOGIFx8Ju+hI1oBzSK1Tdd2ZfUgJO61JYsAZ0qQiXXscf+d56r88BcboYlFnBmTmsG1i413nEG/pr9xSbYbTmOx+w+GXQpVnepg6U+7ZCaPHowvY5m2R5QnRxS7bYgcXRb7zrvbRP/4pFy+WYZFNHqiApIZZ2xvcUth5r+aXtDueOIUoysDgVjbUMoMkVBesLMWKW8K7ZHUsyjgog0B2chxa3Ir4NLMuhcEYRKiDSFdWVtQL35+1/RXBY5kL0xnq84lj7w60Jxzdjs9hbWv22pTrinUNSBaNilcmaV0USlqxGdO7I64Vdh9ZD1H4hwqPVjUgrhX6rYrlSTMwMjaAm0em7ztD3GyYf8qWtlSMkke2F/xd+1R379F98tXE7enwPds+YZYRt7vQ629ngxI8ZrqgbZj013eq3Nvf/naapuEv/uIvsNbyXd/1XQBsbW3xmMc8BmMMr3nNa3jxi1/M9ddfz+nTp+n7fpiS3XUdZ86c4brrrrvH/b/kJS/hO77jO4bfd3d3uf766z/+H2zEiBH3G0e6+ACg7zHLHBrReMRZ0uYEYsKe3cd4B5ep5iN5Q9qe0j/qckwfaN5zJ/01O8TtaWYyHMsbT2rv/3wkLoV+yylzkpmOPtspbYBqLoO+QLI+I04N+9d5kje4VqDT52LNMB+mMBPFJmoS1Od1AmqqsibCrxbe5AWZwrnHVpDZBNDhZ66D6gDC1NDP1t9j1doYmBEDxjG4AwpbY7J4I5YCpRQn+RRL2ai4Sy5gQwoORXqssSdaDGSLb1Sbru2FfpNhUm2/aTlzU01sDLGWYfE3pRXV59d3rDFPKJOxVqBYKa4YMElbWYuTHiMrnY3Jcehuudq/sjPqWjHk94lCvRuxHSwffTmpdtktI7gI/u49/KkDqLW1l6ZK1RTGw53aB9CCJN+dmz7qT9tDHxCvRfOl4oFsu1zYjmiahqZpLtr+lltuIcZ7n0MznU557GMf+zG//+nTpzlx4gQ7Ozu0bct8Pmc2m3Hy5Eluu+022rZlZ2cHgKc97WmEEPid3/kdvuALvgCAN7zhDYQQ+NzP/dx73P+9fY4RI0YcfRzp4kOMgZCgDxij4lIcSFNBjLhz+1p0bE+hBrwjTWvStKa69TTuzl3SzgyZTXKBYemv2ML26mYwKREnepscXcn7yLNDcsCUTrPNzg1viLUh1i7PGVnd6os1gwsWgzpjyHfy/Wp6blm4Ux4YNzALlSZzDqxBAhu0XdGcNTnwy5BSdry4YkVdSzMtRUPJzhiO7vDv9zrc5Z5cLeu/ry+IKWtD1tgV26sOpd4V3NLkVpMWG7GB/WvdqmVS2IscaFYKCtXCyCD2LOLewT6aCxTXrQ6wz2m1Zb8m6Hfnl6vAM9UArQomGzQWvTrQxXZ55ZYKgM3qObfX4u/apX/UFcTLtlanqU/YNmL3FlB54tZM2zSi4WKmC9BHiBFqD9xz2+Cj4gFsu1zIBvzAD/wAP/iDP3jR5t/4jd845HDcEx772Mfyn//zf/6Y376qKtq25VnPehbHjh3jq77qq/je7/1e9vb2eO1rX8uxY8d45jOfCcCjH/1ovvqrv5pv/uZv5md+5mcA+JZv+Ra++qu/mkc/+tEf83uOGDHioYEjXXxgrfbR+wD7cyyCNDXSeMRa0sltCBF/53kd9HW5UuapMoTLt4nbU2wyNHceYE5MSI2KSZM3KigUFRlKtnjqcDiT57YUV4ew+aEWsXBwTYNUDAtjbMywMBatiI53NzqgLhcBqYbOlVVX2QG3D8WqEadmGAk/tFeyXTf54uzIug7yYp+dHa5VIagU907NkKg6JI3ek37j3gSna/+9auMwuFtcu3qsvN+qNSNIA4sryMFdmaEpbznsywx22KE4yIWGtrjM4Qm1JSelE3ybt6vWGBFK8aOtlY2PtKTa0h6vBsaqbKPiYXBtwiTottXdhFUmxfWCOwjU51vSZEL3yVcjM727tr1gQsTfuauuqxNb4HTnJkTVecxbWLRQeWTa5AvgwW293HrrrWxvbw+/3xtb8OY3v/kBfd/rr7+ec+fOsb29zZvf/GZ+7Md+jBe+8IWcOXOGxz/+8bzuda/jiiuuGLb/+Z//eX7kR36E7/me7wHg+c9/Pt/3fd/3gB7TiBEjjgaOdvEBSmf3Qe8iQ8TYoAyIMUhTYazBnNvHGoN0SUWM3iGTCplWuLNL3DIoS+FkrXCweoe71IXBmlVrZT2QSifiJsTqHXGyRkfbFx3EmpPDdStNRtlHaQXoFN28bVz7kTxhV98NUya5mtV7DHf/sCoGSpsjT+Rl7biH47KyKioucL5chAuKD7P2uRCzKgLa8ph+1mHqrFmllQZ/wb6GY0a1J2uBYsPxliImH+cgVg2ljZJ/+rWgsvIdRS0c9HwIfp6Iss4OrYqnwlgV3Uux25okqwImMxtpqyZt1avvOCRspy0VFdtWGiSWBGLCdHqNKuNR6bUbIuY+Fh8PlFtle3v7UPHxicLnfd7nISK8/vWv50u/9Ev5+Z//eX7zN3+Tv//3/z6vfOUrufHGGw9t3zQNP/RDP8QP/dAPfcKPdcSIEZ9YHO3iY9FibINUFVQeli3MF9i0hdSeNK0R74hXHNM70rt2SRs1Zlvj1lNlCFsNcaPGdQnXJUz0JG+zjgPCzK5EogeJek/1CbGxJKd32PvXN4M40QYd+KVR7itnRZgZzftAF8LpKV052m2T2zUMBYXeuTPME0E0wMrvyrAgJpdttCV1tBQPWf4ieeR9mnCocLgwP6wkux56Ui6uPw61ZtZWPX1fGdpIce2meUhnXd+JqAOFNcGpaxkG94nT4C9x0G9yiL2AbJsdEmGFelfbTN2GVb1Iw0p4Gsv3plZoyQ6ivRsmOZk0F4U9+HnSItJpsREbM5wO1YckbJ/wB1FtupfPVP8h6HUTEu7MAaYLyLENktMC2MSEWfaYRQv7cy06NjfyyYownyPtpVttEbn39til7OPjiA984AOcP3+ej3zkI8QYeec73wnA4x73OCaTCddffz3f+I3fyAtf+EJCCDjneNGLXsQ/+kf/6KLCY8SIEX+9cLSLjxCQGPUOstjtRCAEHc5Wew0Mq7IPU0SzFfqIsWBcsV5qkJiyDoI1CRusMh1Ow7nKsLfiaBES0ujzsbFDlLqRMrAta0JEtRglUEsj1lW0CPn3rFMQh2pW7iEynLWwLZN0FyXWHTHYXGGUQW+FySju2UPFxJrrZD1NtDxmuOAxBsnCxa2ZC36/cNfDL7IqHPQxs8bSrNiPYT1cE7fqB1sxE4dCzGTtuNbcLkVUanNiqUnlnKoup5xXdbuUsfesBssZ/dAmqDvFBmVDDKItvcoObTfTJ2wftdAQSN6Ds5pcGqKGiIWoB2qMtmIKA9JHiIFLxUMh5+Nf/at/xe/93u8BcMMNN/C1X/u1APy3//bfhuLip3/6p7nxxhv5qZ/6KUSEb/mWb+E7v/M7P74HNmLEiCOPI118yHKpq8V0CpMapnmO+v4cRLCwYkBy0qnpIv7sAWnWkKYVceJIlSXMfGYYEvQ6ACxVlpCDpmIRJCZDvdvjlonFZTVxYofptrFmEFm6TpjuJeLEECZZ3+BXQ+raE3a1KPdCfV7bFLHWkKzDWgn9mF21YiaANXHl6t9+czXsbmizGFS8emFrxawSQ83ajj+WNWm9WzM8IKviwuahb0MCbFAGwi2z7qVa6UGGWPrZWqU0tDIY2BEbBL/Ux/sN1c4sT5hDrRibi0N1I6Wc72GIEzMcbClOXKeJpc3Znn7TETZ9nmdjcsGSqPaiFhiix9pvVsPntZ22Wex+q5Hp02ZILzUxYRY9pu3g/J4yHtub+tqUYLmEtkPaDgkPz4TTkvPx0eC957u+67sGm+2IESNGwBEvPgrLQQjQW2U4yp1lEnXBgNptndUJojbpv5LvWL2uSMnnQDBjMEie45FwcyHVFmmUhtDkUoPxJo9rF7XTOoiVWd2Br4k6y4A6TJ41MuR65HV2XQAKahntoSzxReR60bTZNfGppqVyeOGOui+T2w0mCr5NWfC6OoZDrZh70nscOudrb70mOPWLlFtCdogkX3ehwOoY03pRdCF7Qi5YcgurvNv6SHt9yAzHbsjbZ0FpeY0YDXATsyo8SOAyy1H2Xyy2q8j2nEqaWQ8zfGAzFDkmJBWR9il/h1b1HbnwUI1Hr+yGc/qctYM2iT7oDzAMmLsUPIBulxEjRow4ajjaxYcxpGWbY7YDbEz1DnM21cJkfw7GqK6ycjBrdIx54zFtwC46TPRYZ4mbFclbTa8k0+xtpD7d0m9WdCcnwyLVb3t6ivVTqGIiOUO3bYdMkFjrAl9aCpPTkWoemV9REWY2u12UTZHK0K1bRnPiZjXXyPb2GDn/AspYd0z+16nOogSHwWo/RHC5AHEdVPuJ7Q92dFuW/WtrJA/ZW5/kK3BYp7GOIQdk1fKwnbaXtj/YY6Kw+6hmONYhCt4o29NtGdhaKzrWWzyy5lzp1R3U7Ar91BAnkgcCmkOakqGVEzUorN6NTE4H2uOebtup5ibrMkz+vmwQ6vNqnxVvkMqyvCJTL2THShSau5fYLhF2Gk269blgjWDbiF/0mF7bKtJ4ZFZrKFwS7LwbHFhYC1tZ45EStB0sWqRtkT5gJw3GN3BwiZd+CYe7H7i/rx8xYsSIjxeOdPFhjFFWQwTpe0yXtR11ZkCqfPh9wIgoI+KdFiLWDs4TkwS7DBhniNMys8OQvCU2HoPBHwRircWJ5NHsahM1Q+vCL7QIKQ6JYgcVS6b9NaTKRKj2EljoZzYv0uuqSkNCRaupDGATLSBA8InByrvu6rgw8MvYVTGR0LbG4jJHmNo8NXdVyFw0nfYeTzjDoDaKBqTS87A8rrHhYb3lY9Zes76bfMJW9lxlF8SsGBNx2UJcr+lYDr1W8kyXBJhcSBkVA5f0WVatGC1QtLBYDQ40gwjVRH2uCEvFWVLW9GDU7UJMuKVqO0haPOJVWIqgWqLCasSozxVWI+bHux7JMeHGFyvQSEGMGDFixDqOdPGBtZi60b551wFgfA92A+M9Mp1ASpj5EnoVAKZJBbbRRaWuhvkabq/NC9JM58F4g9SWVDe4RaA+0xI3KsLMEyd2SNdMfrXANecDyRn6TafTbJtVu6TdyfM+ojIbszynZX5luaOXFRPiAWPoaigtB5OUZTE5WTV5aHe4Z/ai5IfAkF8VG51t0p6oD+s1Llz3Pto6uFaglM1SA4Kh267Wdnp4P4dtuauiozARk7O6cb+hhYa6VtQtNOzzEDuiTIdrhdmdgdhYlpd5wsTSb6xomzLbxS9U+1HtBz2v21oEDuLUJLhOsF2i2u2wbaTfafIMl/K+yoRV5xaItZpM6i00VlssIWHnrV5PbaffQ9YgmZSQroeDBdJr8WGaBuM9pCw8vVSMbZcRI0Y8jHGkiw/pe7C1FiFVtWJAli3iA0w0xEnqKmdg5HRJEWgqnQVjDMaD4DSS/Y4ziHdwxc4wFl0qS9yoEJ+FiPM4DKMTt2IfwtQOd+/+oKe+u6PfqglbVR5pn1mA3KIBVkzIgTBMwi1R3+uLfRG0ejRp05LDR1ZR4mVxB4a2zuDeyGty0UgM+KvYjo/6BbBqnZTdlceKHiSVRNDV+ynbYobP1W/oZ9Uiak0Ymlb7sus6DcnnwEF7TL+DVDQ0xTkThfpsi1tE4maDOEuYWMokWkRynkjCLdOgTYlI7mwAABoHSURBVEm10zaLM0MLjD5g7zqHxSLNJF8XhdHIVto+p5ampAMO0fcgJWTZapR60OLHVBXGGH2u60mhu+RT/1Bwu4wYMWLEfcWRLD7KbJK+W2CcikmxFulbiBEz77P9dhPjnC4UKQsAe2ABaWOC0GQRqq5aRiJ85A7wljTzSONJjSUA0hhsTNhW74BtFCTWpEZpfozqNlR/ItRnl9Qf2SNdtUEwG0id489zMdCXzI/Qa/DVQsCCdWoFlYY8p2W1sA4/JZq9z+8XVRvi2lUBIjOjrRW/Ko4GCy+rfV3YErm0L2K1gA1TcEsBVKyweXCbW4jaiA3INM+wyYVGP0yvza/tV5oSE0X3tZAhR0XQ/BVx0M3ya2PZviSNCv62ParzLfNH7hA2KpLPgtHMnthesIuIPd9p0VGphVYqAxJUxNpG7LxFPvQRYtMQH3k1YixCzvBIgt1fqKslfwapay0yYo/0AQ4O1BLe91BVWiinHmIitgtCWBy6rkeMGDHirzuOZPGxt7cHwO/3r9Zi4kIs8r9n78eb/OH9eO063v8A7WfEfcd7H6D9HABn7uc+lvf+1N7e3jBI7a/EQyBkbMSIESPuK45k8XHNNdfw//7f/+MJT3jCRXMpjjrKWO+H2nHDQ/fYj/pxiwh7e3tcc801H/NrxrbLiBEjHs44ksWHtZZrr70WePDmUtxfPFSPGx66x36Uj/tjZjxGjBgx4q8BjmTxMWLEX3uMbpcRI0Y8jDEWHyNGHEGMbZcRI0Y8nHFki4+mafiBH/gBmqb5qzc+QnioHjc8dI/9oXrcHxWj4HTEiBEPYxgZ/X8jRhwZ7O7usrOzw9/8oh/CV5P7ta/QL3nL6/4558+fP7JamAcS5dw9jS/Bm+rBPpwRI/5aIkjPm3jNX/l358gyHyNG/HXG2HYZMWLEwxlj8TFixFHEKDgdMWLEwxj3Ydb3iBEjRowYMWLEfceRZD7+/M//nHe9611cc801PPWpT9U5GUcMy+WSP/7jP+bcuXM88YlP5IYbbjj0/Ic+9CHe/OY3X/S6Zz/72dR1fdHjnyj81m/91pAgW/DYxz6WpzzlKYcem8/n/O///b/puo7P+qzP4sSJE5/Iw7wIb3rTm7jjjjsuevzYsWP8vb/39wD4wAc+wFvf+taLtnnOc56D90fyUr9XjG2XESNGPJxx5P4if+u3fiuvfOUr+f/+v/+P//t//y+Pf/zj+c3f/E02NjYe7EMb8O///b/nR3/0R7n22mvZ2dnh937v93j+85/Pv/23/3YolN785jfzNV/zNXzZl33Zodc+85nPfFCLj2/7tm/j+PHj3HjjjcNjX/RFX3So+Hj729/OM5/5TK688ko2Nze55ZZb+I//8T/yJV/yJQ/GIQPwf/7P/+GWW2459NirX/1qnv70pw/Fx+/+7u/ywhe+kC/+4i8+tN2XfdmXPeSKD5Loz/3dx4gRI0YcQRypv8ivfvWr+Zmf+Rn+8A//kKc85SmcOnWKpzzlKbzsZS/j5ptvfrAPb8DGxgZvf/vbueyyywD4kz/5E5761Kfyt//23+a5z33usN3W1hb/6T/9pwfrMO8VX//1X883fdM33eNzIsJXf/VX8/mf//m86lWvAuAHf/AH+dqv/Vr+8i//8kFL6vy+7/u+Q7//6Z/+Kf/5P/9nvv7rv/7Q4ydOnDiS53zEiBEjRqxwpDQfr3rVq/i8z/u84S78sssu4/nPf/6wCB4VfPVXf/VQeAA8+clP5tGPfjTvfOc7D20XY+R//I//wetf/3o+/OEPf4KP8t7xvve9j9/4jd/gbW97G113eNz729/+dt797nfzHd/xHcNjL3rRi9jf3+c3f/M3P9GHeq94xStewRVXXHERy9H3Pa9//ev57//9v3Pbbbc9SEf3AEAeoJ8RI0aMOII4UsXHLbfcwk033XTosSc96Ul8+MMf5ty5cw/OQX0M+OAHP8h73/vei459uVxy8803c/PNN3PjjTfyrd/6rUdirPpv/MZv8IpXvIIv+7Iv46abbuLtb3/78Fxpbax/lhMnTnDttdde1PZ4sNB1Ha961av42q/9WqrqcJ7D3t4eP/ETP8HLXvYyHvWoR/Gd3/mdD9JR3j8YVrqP+/zzYH+IESNGjLgXHKm2y/nz5y8SNp48eRKAc+fOcezYsQfhqD462rblec97Hk984hP5yq/8yuHxJzzhCbz3ve8dBuS99a1v5XM+53N4whOewDd/8zc/WIfLT//0T/OFX/iFgC7iX/mVX8lXfMVX8K53vYu6rjl//jwbGxsX6VJOnjx5ZArA17zmNZw6dYp//I//8aHHn/zkJ/P+97+fq666CoDf//3f5+lPfzo33XQT/+gf/aMH41BHjBgxYsQ94EgxH03TsL+/f+ix8vtkcv/SHj8e6Puer/iKr+D222/nta997aEF+1M+5VOGwgPgb/yNv8GznvUsXvva1z4YhzqgFB4AdV3zz/7ZP+P9738/f/qnfwrod7BYLEgpHXrd/v7+kfkOXvGKV/C0pz2NxzzmMYcef8pTnjIUHgB/+2//bZ7xjGc86Of8PqHEq9/fnxEjRow4gjhSxceNN97Ihz70oUOPffCDH2RjY4Mrr7zyQTqqe0bf9/zDf/gPueWWW3jjG9/Idddd91e+Znt7m7vvvvsTcHQfO0r8bTmuG2+8kZTSIY1KCIHbbruNT/qkT3pQjnEdt956K294wxv4hm/4ho9p+6N4zj8W3O+WywNg1R0xYsSIjxeOVPHxRV/0Rbz+9a8fcihEhP/yX/4LX/iFX3iksj5CCHzlV34l73znO3nTm97EIx7xiIu2uf322w/9vre3xxve8Aae+tSnfqIO8yKcPn2avu8PPfbrv/7rVFXFp37qpwLw2Z/92WxtbfFf/st/Gbb5rd/6LQ4ODg6xJg8WfvEXf5Fjx47x7Gc/+6LnLjzn586d441vfOODes7vM0bB6YgRIx7GOFKaj2/+5m/mF3/xF3nGM57B85//fH7nd36HP/uzP+MVr3jFg31oh/CCF7yA17zmNfzoj/4ob37zm4cwsUc+8pH8zb/5NwF48YtfTF3XfNZnfRbL5ZKf+7mfYzKZ8P3f//0P2nG/5z3v4Ru/8Rt59rOfzfXXX89b3/pWXvnKV/IjP/IjA7M0m8348R//cb7927+d3d1dNjc3+fEf/3Fe9KIXXdTm+ERDRPj/27v3oKjKNw7gX0S5rEAaaoKgEmq4YZRoqaRmJJmXUWO8pAI1omk46iRW6iJ4K7Exg7zAhJJEXlJLy8vUiILoIElpFl5AJUWlBYmbICy0+/uDdsf9IQrs5byL38/M/sE5Z895zplRHt7nOe+bmJiIoKCgB5aA5s6diw4dOmDQoEGoqqpCfHw8OnTogI8++kiCaImIqDHCrWpbXl6OzZs362Y4nT17Njw8PKQOS8/ixYuRn5/fYPvQoUMRFhYGoP4X5XfffYfU1FQA9T0gwcHBki/7fv36dXz99dfIy8uDm5sbAgMD8dxzzzU47ujRo9i3bx9UKhUCAgIwZcoUCaLVl5eXhyVLliAqKgpeXl4N9qvVauzduxdpaWmwtraGj48PgoKCJJ3Urbm0K7MOfSUSbdsauKptXTXSU1dwVVsiMpumrmorXPJB9DjTJR/DjJR8nGDyQUTm09TkQ6iyCxFRS2n/jqpDLftdiCRSh/q+wkeNazD5IBKQlUYDKwMHJQ39vqXRNqqfxGGJIyGiioqKhy7HweSDSETGeFvl8co94OrqigsXLkAulyM/P9/iSk3l5eVwd3e3uNgtNW7AcmMXOW6NRoOKigq4uro+9DgmH0TUKrRp00Y3sZ+Tk5Nw/yk3laXGbqlxA5Ybu6hxN2UBUiYfRCIyxgylj1nZhYgsB5MPIgEZY4ZSc8xweuvWLezYsQN1dXVYsmRJg/01NTU4cuQILl26hC5dumDcuHHo3Lmz6QMjIqEJNcMpEVmO4OBgDB48GN9//z3Wr1/fYH9WVhbkcjm2b9+OsrIy7Nu3D56enjh27JjJYrK1tUVkZKTk8+m0hKXGbqlxA5Ybu6XGfT/O80EkEO1cFcMHK4wyz0daxmqTzfPx888/49VXX8XGjRuxevVq3LlzR2//1atXYW9vr9d49vbbb+OXX37BhQsXjB4PEVkOjnwQCchKbZyPKQUEBKBt28Yrt56eng063gcOHIjr16+bNjAiEh57PohEZMSG0/Lycr3Ntra2kgzXajQa7Ny5E35+fma/NhGJhckHUSvn7u6u93NkZCSioqIaHLdq1SrU1NQ0eh4XFxfd2kUtoVAocO7cOZw+fbrF5yCi1oHJB5GIjDjJ2P9PRNTYqIetrS2srKwaPZ0hoyXr1q3Dhg0b8OOPP8Lb27vF53mYU6dOISYmBrdv30bfvn2xbNky9OzZ0yTXaqni4mJs2bIFp06dgpWVFYYMGYIFCxbA0dFR77j09HTExsaioKAAcrkcCoUC3bt3lyhqfVVVVQgMDERRURFSUlL05nSorKxEdHQ0UlNT0b59e7z11lsIDg6WMNp6d+/eRWxsLI4dOwaZTIbZs2dj7NixesccP34cGzduhFKpRL9+/aBQKHTzxkglOzsbsbGxuHz5Muzt7eHn54f58+fr/XuuqKjA2rVrkZ6eDgcHB8yYMQPTpk2TMOqmYfJBJCBjTq/e1ImIPvjgA4Ou15j169cjMjISP/zwA/z9/U1yjYyMDIwYMQKLFi1CaGgo4uLiMGTIEJw/fx6dOnUyyTVb4qWXXsK0adOwcOFC1NTUICoqCvv378epU6d0yd3Jkyfh7++PxYsXY9asWdi8ebPuXp588kmJ7wCYP38+CgoK8Pvvv6O2tlZv34QJE6BUKrF69WoolUrMnTsXRUVFWLRokUTR1pcd/fz84OjoiCVLlkAmk2HTpk3o1KkTBg0aBABISUnBqFGjsGzZMsyePRuxsbHw8/PD+fPnJZvE69q1axg8eDAmTpyIFStW4J9//sHSpUuRmpqKo0ePAqgvZY4ZMwZ3797FypUrcfPmTcycORMlJSUGjVKaA5MPIjKZDRs2ICIiAgcOHMDIkSNNdp3IyEiMGjUKn3zyCQBgxIgRcHd3xxdffIEVK1aY7LrNdf78echkMt3Pffv2RZ8+fXQJBwAsX74cY8eOxZo1awAAr7zyCrp164ZNmzYhIiJCkri1vv32W2RlZWH58uUIDAzU23fs2DEcPXoU2dnZkMvlAICSkhKsXLkSYWFhsLMz7O2tloqKikJJSQkyMjLg4OAAAPD399crMUZERGDSpEm6cuSwYcPg4uKC+Ph4LF68WIqwkZqaiurqamzdulXX2K1SqTB16lRUVlaiffv2OHLkCNLT03HlyhV4enoCAAoLCxEZGYl33333oQ3hUuPbLkQi0jacGvoxoeTkZCgUChw+fBhVVVVQKBRQKBQoLCwEABw6dAjvv/8+Bg4ciBMnTuj2KxQKVFdXGy2Ouro6pKWlYcyYMbpt7dq1w+uvv46UlBSjXccY7k887v9ZO4KgUqmQnp6udy82NjYICAiQ/F7y8vIwf/587NixAzY2Ng32p6SkoGfPnrrEAwDGjRuH8vJyZGVlmTNUPd988w1mzJihSzy0tCNNlZWVOH36tN4zt7e3h7+/v6TP3NfXF2q1GhkZGQDqRzlOnDiBfv36oX379gDqn7mXl5cu8QDqn3lxcTHOnTsnRdhNJm5aRPQ40wAw9FVZE8/g065dO9jZ2WHYsGEYNmyYbru2b8TFxQWrVq164Hcf1lvSXEqlEiqVqsFrva6urjh+/LjRrmMKq1atQpcuXfDyyy8DAAoKClBXV/fAe9H+EpJCbW0tpk6dCoVCAblcjmvXrjU45saNGw+MW7tPCnfu3EFhYSH69OmDhQsX4tdff4WrqytCQkIwevRoAMDNmzeh0WgeGLuUyYePjw8OHTqEN998E506dUJZWRk8PDx0JRfg0c98wIABZo25OZh8EFGLTJky5aH7+/fvj/79+5s8Du2owf83xNrb2zfoSRDJli1bsG3bNhw8eFD3V7mo97Js2TI4Oztj3rx5jR5TW1v7wLi1+6SgLa2Eh4cjPDwca9asQWZmJsaPH4+EhASEhIQI+8zz8/MxZ84cjB49GiEhISgpKcHy5csRHh6OpKQkAGI+86Zi8kEkIGM2nLZ22ibM4uJive137tyBs7OzFCE90tatW7Fw4ULs3LkTAQEBuu3aeEW7l6SkJDg6Our+ki4rKwMAvPbaawgNDcW8efPg7OyMixcv6n1PO+utVLF37NgRVlZWeOONN7B06VIA9f0cly5dwsaNGxESEiLsM4+JiYG1tTUSExPRpk19h4SbmxsGDRqEBQsWwNfXF87Ozvjzzz/1vif1M28q9nwQiUgDI/R8SH0T5uHk5IRevXrhzJkzetszMzPNMvLSXImJiXjvvfeQnJzcoGmzY8eO6Nmzp3D38tNPP2Hnzp2Ii4tDXFyc7k2K9evXY+LEiQDqR7ouX76MiooK3fcyMzNhZWWFF154QZK4ZTIZ5HI5unbtqrf9qaeeQmlpKYD68qCLi4twz7y0tBRdunTRJR5AfaxAfSMvUP/Ms7Ozce/ePd0xmZmZaNOmDXx8fMwbcDMx+SAiixcaGoqkpCRcvXoVAHDw4EGcOXMGoaGhEkemLykpCXPmzEFycjImTZr0wGNCQ0Px1VdfIS8vDwBw4MABnD17FjNnzjRnqHp8fHwwYMAA3adXr1667dq5MAIDAyGTyfDxxx8DAO7du4fo6GiMGjVK0vky5syZgz179uD27dsA6nuEdu/erff21cyZM5GQkID8/HwAwO7du3Hx4kVJn/nw4cORlZWF9PR0AIBarcbnn38OR0dHXTI3efJkWFtbIzo6GkD9fCaffvopxo8fL/zq0Sy7EInIiNOrPw7Cw8ORk5MDuVwONzc3FBQU4LPPPtNrhJXavXv38M4778DR0RHR0dG6XxhA/RwrkydPBgB8+OGHyM3NhZeXF7p16walUomYmBjhp6Xv0KED9u3bh+nTpyMpKQkVFRV49tlnsW3bNknjCgsLQ25uLp555hm4u7vj+vXrGDNmDNatW6c7JiIiAlevXkXv3r3h6uqKwsJCxMXFwdfXV7K4g4KC8McffyAgIADdu3dHWVkZbG1tsWvXLl1JpXPnztizZw+CgoKQkJCA0tJS9O/fH/Hx8ZLF3VRc1ZZIINpVbV/t9yHaWhu2/krdvzU49ke0yVa1FVFRURH+/vtveHh4NHi1UmpqtRq//fbbA/f16NGjwV+qhYWFUCqVQt5LWVkZcnNz8fzzzzeYS6Kurg45OTmQyWRCzTBbUlKCW7duwd3dXW9W1vsplUoUFhbC09OzwWvRUqmursZff/0FmUwGNzc3vTKMVm1tLXJycuDg4IAePXpIEGXzMfkgEog2+fD3/sAoyUfKn+seq+SDiCwDez6IiIjIrNjzQSQi9nwQUSvG5INIREw+iKgVY9mFiIiIzIojH0Qi4sgHEbViTD6IRKQGYOjaa4YuTEdEZCIsuxAREZFZceSDSEBcWI6IWjMmH0QiYs8HEbViLLsQERGRWXHkg0hEag1gZeDIhZojH0QkJiYfRCJi2YWIWjEmH0RCMkLyASYfRCQm9nwQERGRWXHkg0hELLsQUSvG5INIRGoNDC6bsOGUiATFsgsRERGZFUc+iESkUdd/DD0HEZGAmHwQiYg9H0TUirHsQkRERGbFkQ8iEbHhlIhaMSYfRCJi2YWIWjGWXYiIiMisOPJBJCINjDDyYZRIiIiMjskHkYhYdiGiVozJB5GI1GoABs7ToeY8H0QkJvZ8EBERkVkx+SASkbbsYujHhO7evYv4+Hj4+flh6NChDz1WrVZj6tSp8Pb2xtmzZ00aFxGJj8kHkYgsIPkYMmQIsrKy4O3tjYsXLz702LVr1yI3NxfZ2dmorKw0aVxEJD4mH0TUIpmZmfjyyy/Rt2/fhx6XkZGB+Ph4bN682UyREZHo2HBKJCILmOHU3t7+kceUlpZi+vTpSEhIgLOzs0njISLLweSDSEAajRoaA1el1X6/vLxcb7utrS1sbW0NOndTzZo1CxMmTMDIkSNx5coVs1yTiMTH5IOolXN3d9f7OTIyElFRUQ2Oe/HFF1FVVdXoeby8vLB3794mXzcuLg6XL19GcnJyk79DRI8HJh9EItJoDC+b/Ndwmp+fDycnJ93mxkY9tm/fjn///bfR0zWlzHK/Xbt2oaioCL6+vgAAlUoFAAgODsa4ceMQExPTrPMRUevB5INIRBoj9Hz8l3w4OTnpJR+NeVTjaHMlJibqvdmSn5+P0aNHY8WKFRg+fLhRr0VEloXJBxGZhIeHh97PdnZ2uu3du3eXIiQiEgSTDyIRqdWAlYHToxvYsPooYWFhSEtLQ3FxMUpLS+Ht7Q0A2L9/P3r16mXSaxORZbPSaLj6FJEoysvL8cQTT8DfYRraWtkYdK46jQopd3egrKysSWWX5rpx40aDN2kAoHfv3g/sK1GpVMjJycHTTz8NmUxm9HiIyHJw5INIQBq1GhoDRz4MfVX3UZpbOrGxsdGNjhDR440znBIREZFZceSDSERGfNuFiEg0TD6IRKTWAFZMPoiodWLZhYiIiMyKIx9EItJoABj6qi1HPohITEw+iASkUWugMbDswrfoiUhULLsQERGRWXHkg0hEGjUML7uYdp4PIqKWYvJBJCCWXYioNWPZhYiIiMyKIx9EAqrT1BhcNqlDrZGiISIyLiYfRAKxsbFB165dcfLvw0Y5X9euXWFjY9gCdURExsZVbYkEU11dDZVKZZRz2djYwM7OzijnIiIyFiYfREREZFZsOCUiIiKzYvJBREREZsXkg4iIiMyKyQcRERGZFZMPIiIiMismH0RERGRWTD6IiIjIrP4HPA1XzibXPgUAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 640x480 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def windowed_hat(k_mag, sigma, c_tilde):\n",
        "    value = (8.0 * np.pi * (np.sin(c_tilde * k_mag / 2.0) / k_mag) ** 2  \n",
        "             * np.exp(-(sigma * k_mag) ** 2 / 4.0))\n",
        "    return _at_zero(k_mag, 2.0 * np.pi * c_tilde**2, value)\n",
        "\n",
        "sigma = 0.2; b = 6\n",
        "w_hat_values = windowed_hat(fquad.k_mag, sigma=sigma, c_tilde=BOX_DIAMETER + b * sigma)\n",
        "del sigma\n",
        "del b\n",
        "\n",
        "fquad.plot(w_hat_values)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "np.float64(2.064784165867195e-08)"
            ]
          },
          "execution_count": 12,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "fp = FieldPlotter(\n",
        "    center=np.zeros(3),\n",
        "    extent=np.array([1, 1, 0]),\n",
        "    npoints=(10, 10, 1))\n",
        "targets = fp.points.T\n",
        "r = la.norm(targets, 2, axis=1)\n",
        "\n",
        "sigma = 0.2; b = 0.6\n",
        "err = fquad(targets, windowed_hat(fquad.k_mag, sigma=sigma, c_tilde=BOX_DIAMETER + b * sigma)) - windowed(r, sigma=sigma, b=b)\n",
        "del sigma\n",
        "del b\n",
        "\n",
        "la.norm(err, np.inf)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "a09601aa-ba06-4c1a-a7f1-ca4c7b524737",
      "metadata": {},
      "source": [
        "### Multiple sources"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f0aef3bacf0>"
            ]
          },
          "execution_count": 13,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "sources = np.array([[0, 0, 0]], dtype=np.float64)\n",
        "\n",
        "fp = FieldPlotter(\n",
        "    center=np.zeros(3),\n",
        "    extent=np.array([1, 1, 0]),\n",
        "    npoints=(100, 100, 1))\n",
        "targets = fp.points.T\n",
        "\n",
        "def pairwise_potential(targets: np.ndarray, sources: np.ndarray,\n",
        "                       charges: np.ndarray, kernel) -> np.ndarray:\n",
        "    distances = la.norm(targets[:, None, :] - sources[None, :, :], axis=2)\n",
        "    return kernel(distances) @ charges\n",
        "\n",
        "pot = pairwise_potential(targets, sources, [1], lambda r: 1/r)\n",
        "\n",
        "fp.show_scalar_in_matplotlib(np.log10(1e-15 + np.abs(pot)))\n",
        "plt.colorbar()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "8.505935574640231e-08\n"
          ]
        }
      ],
      "source": [
        "def fourier_window_potential(targets: np.ndarray, sources: np.ndarray,\n",
        "                             charges: np.ndarray, sigma: float, b: float) -> np.ndarray:\n",
        "    source_phase = np.exp(-1j * fquad.k @ sources.T) @ charges\n",
        "    return fquad(targets,\n",
        "        windowed_hat(fquad.k_mag, sigma, BOX_DIAMETER + b * sigma) \n",
        "        * source_phase)\n",
        "\n",
        "sigma = 0.18; b = 6\n",
        "sources = rng.uniform(-0.5, 0.5, size=(12, 3))\n",
        "targets = rng.uniform(-0.5, 0.5, size=(10, 3))\n",
        "charges = rng.normal(size=12)\n",
        "exact = pairwise_potential(targets, sources, charges,\n",
        "                           lambda radius: windowed(radius, sigma=sigma, b=b))\n",
        "\n",
        "spectral = fourier_window_potential(targets, sources, charges, sigma=sigma, b=b)\n",
        "quadrature_error = np.max(np.abs(spectral - exact)) / np.max(np.abs(exact))\n",
        "print(quadrature_error)\n",
        "del sigma\n",
        "del b"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "5e02ff6a-49f7-4c86-86dc-70f8745bf34b",
      "metadata": {},
      "source": [
        "### Multilevel kernel splitting\n",
        "\n",
        "The single-level Ewald split can be repeated on a hierarchy of box sizes.\n",
        "Following equation (40) of Jiang--Greengard, choose\n",
        "``sigma_l = sigma_0 / 2**l``.  Then, at any leaf level ``L``,\n",
        "\n",
        "$$1/r = W_0(r) + D_0(r) + ... + D_{L-1}(r) + R_L(r)$$\n",
        "\n",
        "up to the exponentially small windowing error in ``W_0``.  The difference\n",
        "kernels are smooth and increasingly local, while the last residual is the\n",
        "only singular term."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "def mollified(r: np.ndarray, sigma: float) -> np.ndarray:\n",
        "    \"\"\"M_sigma(r) = erf(r / sigma) / r, including its value at r=0.\"\"\"\n",
        "    value = erf(r / sigma) / r\n",
        "    return _at_zero(r, 2.0 / (np.sqrt(np.pi) * sigma), value)\n",
        "\n",
        "\n",
        "def difference_kernel(r: np.ndarray, sigma_coarse: float,\n",
        "                      sigma_fine: float) -> np.ndarray:\n",
        "    \"\"\"D_l = M_{l+1} - M_l, including its removable value at r=0.\"\"\"\n",
        "    value = (erf(r / sigma_fine) - erf(r / sigma_coarse)) / r\n",
        "    limit = 2.0 / np.sqrt(np.pi) * (1.0 / sigma_fine - 1.0 / sigma_coarse)\n",
        "    return _at_zero(r, limit, value)\n",
        "\n",
        "\n",
        "def difference_kernel_hat(k_mag: np.ndarray, sigma_coarse: float,\n",
        "                          sigma_fine: float) -> np.ndarray:\n",
        "    \"\"\"Fourier transform of D_l (equation (44) in the paper).\"\"\"\n",
        "    value = (4.0 * np.pi\n",
        "             * (np.exp(-(sigma_fine * k_mag) ** 2 / 4.0)\n",
        "                - np.exp(-(sigma_coarse * k_mag) ** 2 / 4.0))\n",
        "             / k_mag**2)\n",
        "    limit = np.pi * (sigma_coarse**2 - sigma_fine**2)\n",
        "    return _at_zero(k_mag, limit, value)\n",
        "\n",
        "\n",
        "# The choice makes erfc(r_l / sigma_l) approximately ``tolerance`` at every\n",
        "# level, so R_l and D_l are effectively supported inside boxes of side r_l.\n",
        "tolerance = 1.0e-6\n",
        "nlevels = 2\n",
        "sigma0 = 1.0 / np.sqrt(np.log(1.0 / tolerance))\n",
        "sigmas = sigma0 / 2.0**np.arange(nlevels + 1)\n",
        "box_sizes = 2.0**-np.arange(nlevels + 1)\n",
        "window_buffer = 6.0\n",
        "\n",
        "# Do not include r=0 here: the final residual is singular there.\n",
        "r = np.geomspace(1.0e-5, BOX_DIAMETER, 2000)\n",
        "k = np.linspace(0.0, 120.0, 2000)\n",
        "\n",
        "w0 = windowed(r, sigma=sigmas[0], b=window_buffer)\n",
        "m0 = mollified(r, sigmas[0])\n",
        "difference_kernels = [\n",
        "    difference_kernel(r, sigmas[level], sigmas[level + 1])\n",
        "    for level in range(nlevels)\n",
        "]\n",
        "residual = erfc(r / sigmas[-1]) / r\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1200x1240 with 8 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(nlevels + 2, 2, figsize=(12, 3.1 * (nlevels + 2)),\n",
        "                         constrained_layout=True)\n",
        "\n",
        "axes[0, 0].semilogy(r, 1.0 / r, label=r\"$1/r$\")\n",
        "axes[0, 0].set_title(\"original kernel\")\n",
        "axes[0, 1].semilogy(r, residual, label=rf\"$R_{nlevels}(r)$\")\n",
        "axes[0, 1].axvline(box_sizes[-1], color=\"k\", ls=\"--\", lw=1,\n",
        "                   label=rf\"$r_{nlevels}$\")\n",
        "axes[0, 1].set_title(\"finest residual kernel\")\n",
        "\n",
        "axes[1, 0].semilogy(r, m0, label=r\"$M_0(r)$\")\n",
        "axes[1, 0].semilogy(r, w0, \"--\", label=r\"$W_0(r)$ (windowed)\")\n",
        "axes[1, 0].set_title(\"coarsest smooth kernel\")\n",
        "axes[1, 1].semilogy(k, windowed_hat(\n",
        "    k, sigma=sigmas[0], c_tilde=BOX_DIAMETER + window_buffer * sigmas[0]))\n",
        "axes[1, 1].set_title(r\"$\\widehat{W}_0(k)$\")\n",
        "\n",
        "for level, (sigma_coarse, sigma_fine, box_size, kernel) in enumerate(\n",
        "        zip(sigmas[:-1], sigmas[1:], box_sizes[:-1], difference_kernels)):\n",
        "    row = level + 2\n",
        "    axes[row, 0].semilogy(r, kernel, label=rf\"$D_{level}(r)$\")\n",
        "    axes[row, 0].axvline(box_size, color=\"k\", ls=\"--\", lw=1,\n",
        "                         label=rf\"$r_{level}$\")\n",
        "    axes[row, 0].set_title(rf\"difference kernel $D_{level}$\")\n",
        "    axes[row, 1].semilogy(k, difference_kernel_hat(k, sigma_coarse, sigma_fine))\n",
        "    axes[row, 1].set_title(rf\"$\\widehat{{D}}_{level}(k)$\")\n",
        "\n",
        "for ax in axes.flat:\n",
        "    ax.set_xlabel(r\"$r$\" if ax in axes[:, 0] else r\"$|k|$\")\n",
        "    ax.grid()\n",
        "    if ax.lines and ax.get_legend_handles_labels()[0]:\n",
        "        ax.legend(loc=\"best\")\n"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "efd2054a-8dbf-414d-98da-dee2c21ddec4",
      "metadata": {},
      "source": [
        "Each correction is a rescaled copy of the preceding one: \n",
        "$$D_l(r) =2^l D_0(2^l r).$$\n",
        "The same scaling shifts its Fourier content to higher k."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "max error in D_1(r) = 2 D_0(2r): 0.000e+00\n"
          ]
        }
      ],
      "source": [
        "scale_check = np.max(np.abs(\n",
        "    difference_kernels[1] - 2.0 * difference_kernel(2.0 * r, sigmas[0], sigmas[1])))\n",
        "print(f\"max error in D_1(r) = 2 D_0(2r): {scale_check:.3e}\")\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "max relative error in telescoping reconstruction: 2.220e-16\n"
          ]
        }
      ],
      "source": [
        "components = [w0, *difference_kernels, residual]\n",
        "partial_sums = np.cumsum(components, axis=0)\n",
        "reconstruction = partial_sums[-1]\n",
        "relative_error = np.abs(r * reconstruction - 1.0)\n",
        "print(f\"max relative error in telescoping reconstruction: {relative_error.max():.3e}\")\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1500x400 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(1, 3, figsize=(15, 4), constrained_layout=True)\n",
        "for name, component in zip(\n",
        "        [r\"$W_0$\", *[rf\"$D_{level}$\" for level in range(nlevels)],\n",
        "         rf\"$R_{nlevels}$\"], components):\n",
        "    axes[0].semilogy(r, component, label=name)\n",
        "axes[0].set_title(\"terms in the telescoping decomposition\")\n",
        "axes[0].set_xlabel(r\"$r$\")\n",
        "axes[0].legend()\n",
        "\n",
        "axes[1].semilogy(r, 1.0 / r, \"k\", lw=2, label=r\"$1/r$\")\n",
        "for level, partial_sum in enumerate(partial_sums):\n",
        "    axes[1].semilogy(r, partial_sum, label=rf\"partial sum through term {level}\")\n",
        "axes[1].set_title(\"successive telescoping partial sums\")\n",
        "axes[1].set_xlabel(r\"$r$\")\n",
        "axes[1].legend()\n",
        "\n",
        "axes[2].semilogy(r, relative_error)\n",
        "axes[2].axhline(tolerance, color=\"k\", ls=\"--\", lw=1,\n",
        "                label=\"requested tolerance\")\n",
        "axes[2].set_title(r\"relative error: $|r(W_0 + \\sum D_l + R_L)-1|$\")\n",
        "axes[2].set_xlabel(r\"$r$\")\n",
        "axes[2].legend()\n",
        "\n",
        "for ax in axes:\n",
        "    ax.grid()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.14.7"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}