vi_vs_mcmc.ipynb

vi_vs_mcmc.ipynb

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            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "868e4d7a3c624d218620e9694ed378f4": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "DescriptionStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": ""
          }
        }
      }
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/avivajpeyi/db61c975154d30a9231e2338d26fe83c/vi_vs_mcmc.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# VI vs MCMC"
      ],
      "metadata": {
        "id": "mE20Cz4dBddg"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HY6KASP8jeLc",
        "outputId": "0f5886b8-3d80-490a-95b8-91c8c25d0f36"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting numpyro\n",
            "  Downloading numpyro-0.18.0-py3-none-any.whl.metadata (37 kB)\n",
            "Requirement already satisfied: jax>=0.4.25 in /usr/local/lib/python3.11/dist-packages (from numpyro) (0.5.2)\n",
            "Requirement already satisfied: jaxlib>=0.4.25 in /usr/local/lib/python3.11/dist-packages (from numpyro) (0.5.1)\n",
            "Requirement already satisfied: multipledispatch in /usr/local/lib/python3.11/dist-packages (from numpyro) (1.0.0)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.11/dist-packages (from numpyro) (2.0.2)\n",
            "Requirement already satisfied: tqdm in /usr/local/lib/python3.11/dist-packages (from numpyro) (4.67.1)\n",
            "Requirement already satisfied: ml_dtypes>=0.4.0 in /usr/local/lib/python3.11/dist-packages (from jax>=0.4.25->numpyro) (0.4.1)\n",
            "Requirement already satisfied: opt_einsum in /usr/local/lib/python3.11/dist-packages (from jax>=0.4.25->numpyro) (3.4.0)\n",
            "Requirement already satisfied: scipy>=1.11.1 in /usr/local/lib/python3.11/dist-packages (from jax>=0.4.25->numpyro) (1.14.1)\n",
            "Downloading numpyro-0.18.0-py3-none-any.whl (365 kB)\n",
            "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m365.8/365.8 kB\u001b[0m \u001b[31m9.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hInstalling collected packages: numpyro\n",
            "Successfully installed numpyro-0.18.0\n"
          ]
        }
      ],
      "source": [
        "! pip install numpyro"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm\n",
        "\n",
        "import jax.numpy as jnp\n",
        "import jax.random as random\n",
        "import jax\n",
        "from jax.scipy.stats import norm as jnorm\n",
        "import optax\n",
        "from tqdm.auto import trange\n",
        "\n",
        "\n",
        "N_ITERATION = 500\n",
        "\n",
        "# -------------------------------\n",
        "# Set model parameters (as in your MCMC code)\n",
        "# -------------------------------\n",
        "d = 1         # dimension\n",
        "v = 0.1       # noise variance parameter\n",
        "\n",
        "def true_posterior(theta):\n",
        "    # theta is assumed to be shape (N, d)\n",
        "    sigma2 = v / (1 + v)  # Posterior variance\n",
        "    return np.exp( - (d / 2) * np.log(2 * np.pi * sigma2)\n",
        "                   - np.sum(theta ** 2, axis=1) / (2 * sigma2) )\n",
        "\n",
        "def log_likelihood(theta: jnp.ndarray) -> jnp.ndarray:\n",
        "    # theta is assumed to be shape (batch, d)\n",
        "    return -(d / 2) * jnp.log(2 * jnp.pi * v) - jnp.sum(theta ** 2, axis=1) / (2 * v)\n",
        "\n",
        "def log_pri(theta: jnp.ndarray) -> jnp.ndarray:\n",
        "    # Standard normal prior for each element in theta\n",
        "    return jnp.sum(jnorm.logpdf(theta, loc=0, scale=1), axis=1)\n",
        "\n",
        "def log_prob(theta: jnp.ndarray) -> jnp.ndarray:\n",
        "    return log_pri(theta) + log_likelihood(theta)\n",
        "\n",
        "\n",
        "rng_key = random.PRNGKey(1)\n",
        "init = jnp.array([[3.0]])\n",
        "\n",
        "def metropolis_mcmc(num_samples, proposal_std):\n",
        "    samples = []\n",
        "    theta_current = init\n",
        "    logp_current = log_prob(theta_current)\n",
        "    key = rng_key\n",
        "    for i in trange(num_samples):\n",
        "        key, subkey = random.split(key)\n",
        "        # Propose a new theta\n",
        "        theta_proposal = theta_current + proposal_std * random.normal(subkey)\n",
        "        logp_proposal = log_prob(theta_proposal)\n",
        "        # Compute acceptance probability\n",
        "        log_accept_ratio = logp_proposal - logp_current\n",
        "        key, subkey = random.split(key)\n",
        "        if jnp.log(random.uniform(subkey)) < log_accept_ratio:\n",
        "            theta_current = theta_proposal\n",
        "            logp_current = logp_proposal\n",
        "        samples.append(theta_current)\n",
        "    return jnp.array(samples)\n",
        "\n",
        "# Run MCMC\n",
        "rng_key = random.PRNGKey(0)\n",
        "mcmc_samples = metropolis_mcmc(num_samples=N_ITERATION, proposal_std=0.3)\n",
        "\n",
        "true_theta = np.linspace(-1,1, 1000).reshape(-1,1)\n",
        "true_pdf = true_posterior(true_theta)\n",
        "\n",
        "plt.figure(figsize=(12,4))\n",
        "plt.subplot(1,2,1)\n",
        "plt.hist(mcmc_samples.ravel(), density=True, bins=50, label='MCMC samples')\n",
        "plt.plot(true_theta, true_pdf, 'k--', lw=3, label=\"True Posterior\")\n",
        "plt.xlabel(\"theta\")\n",
        "\n",
        "plt.subplot(1,2,2)\n",
        "plt.plot(mcmc_samples.ravel())\n",
        "plt.ylabel('theta')\n",
        "plt.xlabel(\"iterations\")\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255,
          "referenced_widgets": [
            "6733ee42bbb7497784725d647e9e0960",
            "04a0d6ddd7164728a25af9aa1bfe0375",
            "63af2d3fd72445b49bc3ff740a286cb4",
            "ed8ce662c1f04492b01c462a759eafe7",
            "331c922401c940f89eac1e537c75127b",
            "112419e55af041209f85c028e9b53939",
            "27ea328221ce4b47ac573cce59fa3f2c",
            "92a64e7a57ac490b857fc657043afed7",
            "644c1f218bf945a089457cd84720ab1a",
            "eff35ff8fd544f2bbffe34df3e90c2f0",
            "ef420e1a45dc4ccbbb5d2fa97f7205f1"
          ]
        },
        "id": "PDYzeMRj1gOi",
        "outputId": "695d1a8c-2b33-45e7-c1e7-13a7ebe357e8"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/500 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "6733ee42bbb7497784725d647e9e0960"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x400 with 2 Axes>"
            ],
            "image/png": 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GOcZddwinlz8BmCzIHz4VRROvgL3/GEiSZOi6qqqqcO211+LVV1/FiBEj8B//8R+46aabDF0TERFROsiVUgyliIiIclLGB53/5je/QUtLC771rW9Fvc6iRYtQUlIi/+vfv38GV0i5omX7iuAHfi/adq1D3b8eBfxeYxcV8tOf/hSrVq3Czp078V//9V8oKSkxeklEREQpJw86Z/seERFRTspoKPXSSy/hgQcewGuvvYaKioqo11uwYAEaGxvlf0eOHMngKikXBHwetH75gepY4bhZkMxWg1akNm7cOFx66aWGV20RERGlEwedExER5baMte+98sor+P73v4+///3vmDlzZszr2u122O32DK2MclH7vk3wt6vbQgvHXWbQaoiIiHJTuH2PlVJERES5KCOVUi+//DJuvvlmvPzyy7jyyisz8SWJYmr5fLXqsr3vaFjLehu0GiIiotwkV0p5WSlFRESUi5KulGppacHevXvlywcOHMC2bdtQXl6OAQMGYMGCBTh27BhefPFFAMGWvZtuuglPPfUUpkyZgpqaGgBAXl4e5+SQIXxtjWjft0l1rGDMDINWk7jqe5bFvc7BRxj6EhFR1yHPlGL7HhERUU5KulJq06ZNmDhxIiZOnAgAmD9/PiZOnIiFCxcCAE6cOIHDhw/L13/22Wfh9Xpxxx13oHfv3vK/O++8M0XfAlFyWneuVQ00lyw2FIy60MAVJcZddxD17/0ZnoYao5dCRESUEuFQiu17REREuSjpSqnp06cjEAhE/fzixYtVl9esWZPslyBKq1ZN617esPNgshcYtJr4/vKXv+C3v/0tTmzeDACQHAUoPf//GbwqIiKizuOgcyIiotyW0d33iIzmPnUY7pq9qmOFYy41aDWJ2bhxIzaHAikAaPtybcxgmIiIqKuQB517WSlFRESUixhKUU5p27lWddlcWA5H9QRjFpOg66+/XnXZc/owPKcOGbQaIiKi1HFYWSlFRESUyxhKUc4IBAJo3bVOdSx/5IWQTGaDVpSY888/H/3791cda/3yA4NWQ0RElDqslCIiIsptDKUoZ2zfvh3eM8dUxwpGXWTQahJnMplw3XXXqY617WQLHxFRLlm7di3mzp2LPn36QJIkLFmyJOb116xZA0mSIv6JXZCzRV4olGpxeeNck4iIiLojhlKUM1577TXVZXNxBWy9hxu0muRoW/i8jbVwn9hj0GqIiCjTWltbMX78eDz99NNJ3W737t04ceKE/K+ioiJNK+yYymIHAOBUiwseH6uliIiIck3Su+8RdUWBQACvvvqq6ljByAsgSZJBK0rOxIkTYSnrA2/9cflY65cfwN5nhIGrIiKiTJkzZw7mzJmT9O0qKipQWlqa+gWlSI8CG2xmE9w+P2qbnOhXlm/0koiIiCiDWClFOeNvf/sbis65GubCcgBAfhdo3RMkSULBqItVx9p2f4iAn4NhiYgougkTJqB3796YNWsWPvroI6OXE8FkktC7NFgtdbzBafBqiIiIKNMYSlFOkCQJU6dORfmlt6LvfyxG1b//GrbKIUYvKyna+Ve+ljNwHd9t0GqIiCib9e7dG8888wz+8Y9/4B//+Af69++P6dOnY8uWLVFv43K50NTUpPqXkbWWBEOpE43tGfl6RERElD3Yvkc5R5JMsPcdZfQykmbt2R/WngPhOXVIPta2Zz0c/UYbuCoiIspGI0aMwIgR4Rbv888/H/v27cMTTzyBv/71r7q3WbRoER544IFMLVHWpzQPAHCsgaEUERFRrmGlFFEXkj/8fNXltj0buAsfERElZPLkydi7d2/Uzy9YsACNjY3yvyNHjmRkXX1KgqHUCbbvERER5RyGUkRdSP6IqarLvsZaeE7uN2g1RETUlWzbtg29e/eO+nm73Y7i4mLVv0wQlVLHWSlFRESUc9i+R9SFWHsNgqW0Ct6GGvlY254NXW4+FhERJaelpUVV5XTgwAFs27YN5eXlGDBgABYsWIBjx47hxRdfBAA8+eSTGDRoEM466yw4nU4899xzeO+99/Duu+8a9S1EJQads32PiIgo97BSirq1Q4cO4fnnn0ddXZ3RS0kJSZKQP0xdLdW2Z71BqyEiokzZtGkTJk6ciIkTJwIA5s+fj4kTJ2LhwoUAgBMnTuDw4cPy9d1uN/77v/8bY8eOxcUXX4zt27dj1apVuPTSSw1ZfyyDehQAAA6caoXPz5Z0IiKiXMJKKerWXnvtNdx9990wmUyYNm0aWgononDcZUYvq1Pyhp+Ppk+XwN5vNPKHn4/84ecZvSQiIkqz6dOnx5whuHjxYtXlu+++G3fffXeaV5UaA8rz4bCa4PT4ceh0Kwb3KjR6SURERJQhDKWoW1uyZAkAwO/3Y926dSicUNDlQyl73xHoN+9FmAvKjF4KERFRp5lMEoZXFuGzo43YXdPMUIqIiCiHsH2Puq2amhps2LBBdUzb+tYVSZKJgRQREXUrIyqLAAC7a5sNXgkRERFlEkMp6raWLl2qanUoKiqCY8A4A1dEREREekZUhUKpGoZSREREuYShFHVbonVPmDNnDiSL1ZjFEBERUVRDKoItewdOtRq8EiIiIsokhlLULTU3N2PVqlWqY9dcc40xiyEiIqKYih3BMadtbp/BKyEiIqJMYihF3dKKFSvgdrvly1arFVdccYWBK0qfQCAAV81eNHz0Mtrb241eDhERUdLyrMFQqt3DUIqIiCiXcPc96paWLl2qunzJJZegpKTEoNWkRyAQwJmVz6D9qw3wtZwBALz33vW48sorDV4ZERFRcvJsZgBAOyuliIiIcgorpajb8fv9ePvtt1XH5s6da9Bq0keSJHjqDsqBFAC89dZbBq6IiIioY/JFKOXxqTYpISIiou6NoRR1O5s2bcKpU6dUx7pr617e0HNVl9966y3+Mk9ERF2OwxoMpXz+ANw+v8GrISIiokxhKEXdzrJly1SXR44cicGDBxu0mvTKGzJZdfno0aPYvn27QashIiLqGFEpBQBON0MpIiKiXMGZUtTtLF++XHW5O89YsvboD0tpFbwNNfKxpUuXYsKECZ2+7+p7lsW/EoCDj3Tfx5eIiDLDajbBYpLg9QfQ5vGiBFajl0REREQZwEop6lZqa2uxadMm1bHu2roHBOdK5Q2JbOEjIiLqajjsnIiIKPcwlKJuRTvgvKioCBdccIFBq8mMvKFTVJc3btyImpqaKNcmIiLKTnmhuVJtDKWIiIhyBkMp6lYmTZqEu+66C2eddRYAYNasWbDZbAavKr0c/c+CZMtTHXvnnXcMWg0REVHHiLlSTg9DKSIiolzBUIq6lbFjx+JXv/oVPv/8cxw4cAAPPfSQ0UtKO8lsRV71RNWxFStWGLQaIiKijnGwUoqIiCjncNA5dVvV1dVGLyFjHIPORtue9fLld999Fz6fD2azOcatiIiIsoeolGpnpRQREVHOYKUUUTeQN/hs1eUzZ85EDHwnIiLKZhx0TkRElHsYShF1A5biClh7DFAdYwsfERF1JXnWYAE/K6WIiIhyR9Kh1Nq1azF37lz06dMHkiRhyZIlcW+zZs0anH322bDb7Rg6dCgWL17cgaUSUSwOTbUUQykiIupKRKUUZ0oRERHljqRDqdbWVowfPx5PP/10Qtc/cOAArrzySlxyySXYtm0bfvSjH+H73/8+dwejlNq3bx/q6uqMXoah8gafo7q8ceNGnD592qDVEBERJSffKtr3vAavhIiIiDIl6UHnc+bMwZw5cxK+/jPPPINBgwbhscceAwCMGjUKH374IZ544gnMnj072S9PpOuee+7B66+/jgkTJmDmzJm44YYbMGHCBKOXlVGOfqORn5+PQCCAGTNm4PLLL4fFwr0MiIioa8jjoHMiIqKck/Yz1g0bNmDmzJmqY7Nnz8aPfvSjqLdxuVxwuVzy5aampnQtj7oBv9+P9957DwCwbds2bNu2DaNHj865UEqy2LBu3TqMHj0aDofD6OUQERElhe17REREuSftg85rampQWVmpOlZZWYmmpia0t7fr3mbRokUoKSmR//Xv3z/dy6QubNu2bThz5ozq2KWXXmrQaox19tlnM5AiIqIuKS/UvudkpRQREVHOyMrd9xYsWIDGxkb535EjR4xeEmWxVatWqS4PHz4cAwYMiHJtIiIiykb5rJQiIiLKOWlv36uqqkJtba3qWG1tLYqLi5GXl6d7G7vdDrvdnu6lUTehDaW07aJERESU/RzyoHOGUkRERLki7aHU1KlTsXz5ctWxlStXYurUqen+0pQDnE4n1q1bpzrGUIqIiKjrEZVSDW0eHGsIjniwmU3oVcQ/VBIREXVXSYdSLS0t2Lt3r3z5wIED2LZtG8rLyzFgwAAsWLAAx44dw4svvggAuO222/C73/0Od999N773ve/hvffew2uvvYZly5al7rugnLV+/Xo4nU75sslkwvTp041bUJbx+/3Ytm0bRowYgYKCAqOXQ0REFJWYKbXx4BlMe+Q9+fhPrxiJqyf0RUWRHZIkGbU8IiIiSoOkZ0pt2rQJEydOxMSJEwEA8+fPx8SJE7Fw4UIAwIkTJ3D48GH5+oMGDcKyZcuwcuVKjB8/Ho899hiee+45zJ49O0XfAuUybeveOeecg7KyMoNWkz1efPFFXHfddaioqMCkSZPk3QmJiIiy1aTqMgzskQ+bxQSbxQSLKRhAPbx8F6Y8vBrPrTtg8AqJiIgo1ZKulJo+fToCgUDUzy9evFj3Nlu3bk32SxHFxXlS+l544QWsWbNGvrxy5UrMnTvXuAURERHFUVHkwAd3XSJfXrunDjc+v1G+/MvlO3HrRYONWBoRERGlSdpnShGlS319PTZt2qQ61lVDqep7UtvOOnPmTFUopQ3viIiIsl3vEofRSyAiIqI0S7p9jyhbvP/++6qqvby8PA7QD5k1a5bq8s6dO3H06FGDVkNERJS8KoZSRERE3R5DKeqytNU/F1xwARwO/gILAJMmTYqYrcVqKSIi6kqKHFYUhHbkAyDPmCIiIqLug6EUdVmcJxWd2WzGjBkzVMdWrlxp0GqIiIg6xm4Nh1J5ioCKiIiIugeGUtQlHTp0CF999ZXqGEMpNe3jsWrVqpibFBAREWUbr88vf+z0+Pj/MSIiom6GoRR1SbW1tRg3bpx8uby8HBMmTDBuQVlIO1fq5MmT2LFjh0GrISIiSp5fkUF5fAG0uX3GLYaIiIhSjrvvUZc0efJkbN++HbW1tXjvvffQ0NAAk4kZq9KQIUMwaNAgHDhwQD62cuVKVZhHRESUzQb2yMcXx5vkyw3tHhTY+esrERFRd8GzeOrSKisrcf311+P22283eilZSa+Fj4iIup61a9di7ty56NOnDyRJwpIlS+LeZs2aNTj77LNht9sxdOhQLF68OO3rTLUnrpuAydXl8uX6VreBqyEiIqJUYyhF1I1pW/g++OADuFwug1ZDREQd1draivHjx+Ppp59O6PoHDhzAlVdeiUsuuQTbtm3Dj370I3z/+9/HO++8k+aVptbwyiK8dttUDK8sBAA0tnsMXhERERGlEuufibqxGTNmQJIkeTBse3s71q9fj0suucTglRERUTLmzJmDOXPmJHz9Z555BoMGDcJjjz0GABg1ahQ+/PBDPPHEE5g9e3a6lpk2pXk2AEBDG0MpIiKi7oSVUkTdWI8ePXD22WerjrGFj4io+9uwYUNEC/fs2bOxYcOGqLdxuVxoampS/csWJflWAEBDO9v3iIiIuhOGUkTdnLaFb+XKlQathIiIMqWmpgaVlZWqY5WVlWhqakJ7e7vubRYtWoSSkhL5X//+/TOx1ISU5oVCKVZKERERdSsMpahLWbduHcaNG4f58+dj+fLlaGlpMXpJWU8ZShUWFqJv377w+bilNhERqS1YsACNjY3yvyNHjhi9JFlJKJRq4kwpIiKiboUzpahLWblyJXbs2IEdO3bgiSeewLnnnouNGzcavaysNm3aNNx///2YOXMmpkyZAqvVavSSiIgozaqqqlBbW6s6Vltbi+LiYuTl5enexm63w263Z2J5SXNYzQAAl9dv8EqIiIgolRhKUZeinYc0ffp0AED1PcsMWE3XYLfb8fOf/9zoZRARUQZNnToVy5cvVx1buXIlpk6datCKOsduCRb3u7ys9CUiIupO2L5HXUZjY2NEVZR2iCsREVF31NLSgm3btmHbtm0AgAMHDmDbtm04fPgwgGDr3Y033ihf/7bbbsP+/ftx9913Y9euXfj973+P1157DT/+8Y+NWH6n2eRQipVSRERE3QlDKeoyPvjgA9UsJJvNhgsuuMDAFREREWXGpk2bMHHiREycOBEAMH/+fEycOBELFy4EAJw4cUIOqABg0KBBWLZsGVauXInx48fjsccew3PPPYfZs2cbsv7OsjOUIpIdONWKG5/fiI/3nzZ6KUREncb2PeoytK1706ZNQ35+vkGrISIiypzp06cjEAhE/fzixYt1b7N169Y0ripzbJbgTCk3Qyki/ODFTfjqZAs27DuFr355hdHLISLqFFZKUZehDaXYutc5sU5uiIiIsgkrpYjCvjoZ3H3a4+PvckTU9bFSirqEY8eOYefOnapjDKWSEwgEsG/fPqxevRqrVq3Cjh078OWXX8JkYjZNRETZTZ4p5eGgcyLBbJKMXgIRUacxlKKsV33PMrR8/p7qmGQvwDdfr4H0RnbvupdNuwIePXoUw4YNUx3bvn27PJ+EiIgoW4lKKbePlVKU29rd4WC2T6nDwJUQEaUGSySoS3Ae2qa67Bg4DpLJbMxiuqj+/ftj6NChqmPalkgiIqJsFK6UYihFuW1vqHUPABwW/i5MRF0fQynKeoFAAM6D21TH8gaON2YxXZy25ZGhFBERdQV2MeiclVKU4/bUNssft7nZzkpEXR9DKcp63tNH4Ws5ozrmGDjBmMV0cdpQat26dXA6nQathoiIKDFypZSXJ+GU247Ut8kft7i8Bq6EiCg1GEpR1mvXtO6Zi3rCUt7XmMV0cZdccgkkKTwUs729HRs2bDBwRURERPHJM6W4+x7luNqm8B8T29wMpYio62MoRVlP27rnGDhBFaxQ4srLyzFp0iTVsdWrVxu0GiIiosTY5UophlKU22qbXPLHHl+A1YNE1OUxlKKs5vP54DzyueqYo5rzpDqDc6WIiKirsbFSiggAUNOoHrvQ5mIoRURdm8XoBRDFYjab0fcHz8J56DM4D22D8+A2ODjkvFNmzpyJRx55RL786aefoqGhAaWlpcYtioioizh69CjefPNNHD58GG63W/W5xx9/3KBVdX9i0DkrpSjXKdv3AKDV7UVZgc2g1RARdR5DKcp65vwSFIy6EAWjLjR6Kd3CtGnT4HA45AHnfr8fa9aswTXXXGPswoiIstzq1avxta99DYMHD8auXbswZswYHDx4EIFAAGeffbbRy+vWRKWUzx+A1+eHxcxif8o9Lq8Pp1vVYXgrK6WIqIvj/9GJcozD4cAFF1ygOsYWPiKi+BYsWICf/OQn2LFjBxwOB/7xj3/gyJEjuPjii/HNb37T6OV1a2KmFAC4fayWotx0MjRPymY2oV9ZHoBgpRQRUVfGUIooB3GuFBFR8nbu3Ikbb7wRAGCxWNDe3o7CwkL84he/wKOPPmrw6ro3mzKUYgsf5SjRuldRbEehPdjw0upiKEVEXVuHQqmnn34a1dXVcDgcmDJlCjZu3Bjz+k8++SRGjBiBvLw89O/fHz/+8Y/l1iEiyrxLL71UdXn37t04cuSIQashIuoaCgoK5DlSvXv3xr59++TPnTp1yqhl5QSLSYIptPEu50pRrmlxeTH/tW34t2c2AACqih0okEMptu8RUdeWdCj16quvYv78+bj//vuxZcsWjB8/HrNnz8bJkyd1r//SSy/hnnvuwf3334+dO3fiz3/+M1599VX89Kc/7fTiiahjJk6ciLKyMtWx1atXG7QaIqKu4bzzzsOHH34IALjiiivw3//93/jlL3+J733vezjvvPMMXl33JkkSd+CjnPXR3lN4Y8sx+fKkgWWKUIqVUkTUtSUdSj3++OO49dZbcfPNN2P06NF45plnkJ+fj+eff173+uvXr8e0adPw7W9/G9XV1bjssstw/fXXx62uIlq0aBGWLl0Kv6vN6KV0O2azGTNmzFAd++CDDwxaDRFR1/D4449jypQpAIAHHngAl156KV599VVUV1fjz3/+s8Gr6/7CO/CxMoRyi9MTfM0X2MxYNf9i3DNnJApswZ+HNs6UIqIuLqnd99xuNzZv3owFCxbIx0wmE2bOnIkNGzbo3ub888/H3/72N2zcuBGTJ0/G/v37sXz5cnznO9/p3MqpW6utrQ1X00km2PuMRM+v3Q1LcU9jF9aNzJkzB3V1dZg5cyZmzpyJc8891+glERFltcGDB8sfFxQU4JlnnjFwNblHVEqxfY9yjccXAABMqi7H0IpCAJArpVrYvkdEXVxSodSpU6fg8/lQWVmpOl5ZWYldu3bp3ubb3/42Tp06hQsuuACBQABerxe33XZbzPY9l8sFl8slX25qakpmmdQNvPfee+ELAT/cdQdgLig1bD3d0S233IJbbrnF6GUQEXUZgwcPxqeffooePXqojjc0NODss8/G/v37DVpZbrAzlKIc5Q3tOGkzS/IxVkoRUXeRVCjVEWvWrMHDDz+M3//+95gyZQr27t2LO++8Ew8++CDuu+8+3dssWrQIDzzwQLqXRllMuxuco/8YSOa0v1yJiIiiOnjwIHy+yKoEl8uFY8eO6dyCUokzpShXeUKhlMUUnrwiKqV++95e/H7NPtX1ywtsePnWKRhaUZS5RRIRdVBSZ/k9e/aE2WxGbW2t6nhtbS2qqqp0b3PffffhO9/5Dr7//e8DAMaOHYvW1lb84Ac/wM9+9jOYTJFjrRYsWID58+fLl5uamtC/f/9klkpdWCAQwMqVK1XHHNUTjFkMERHlvDfffFP++J133kFJSYl82efzYfXq1aiurjZgZbklPFOKoRTlFtG+Z1FUSk0aWAazSYLPH4DPH1Bdv67ZhfX7TjOUIqIuIalQymazYdKkSVi9ejWuueYaAIDf78fq1asxb9483du0tbVFBE9mc/CXikAgoHcT2O122O32ZJZG3cjevXtx5MgR1THHwAnGLIaIiHKe+J1HkiTcdNNNqs9ZrVZUV1fjscceM2BluYWVUpSrvP7ga95qDp9TXTqqElsXzoLTra7eXPT2Lvxz6zE0tHkyukYioo5Kuh9q/vz5uOmmm3DOOedg8uTJePLJJ9Ha2oqbb74ZAHDjjTeib9++WLRoEQBg7ty5ePzxxzFx4kS5fe++++7D3Llz5XCKSEnbumcuKIO15wCDVkNERLnOHzohHDRoED799FP07MlNN4wQninFwc6UW+RKKZOkOl7ssKLYYVUdqypxAABDKSLqMpIOpa677jrU1dVh4cKFqKmpwYQJE7BixQp5+Pnhw4dVlVH33nsvJEnCvffei2PHjqFXr16YO3cufvnLX6buu6BuJWKeVPUESJIU5dqUCoFAAF999RVWrVqFnj174lvf+pbRSyIiyjoHDhyQP3Y6nXA4HAauJvfYWSlFOUrMlLJaIseeaJXmBUOqhjZ3WtdERJQq8d/ZdMybNw+HDh2Cy+XCJ598gilTpsifW7NmDRYvXixftlgsuP/++7F37160t7fj8OHDePrpp1FaWtrZtVM35PP51Dvvga176fbqq69i4MCBGDFiBO644w789re/NXpJRERZye/348EHH0Tfvn1RWFgo77Z333334c9//rPBq+v+RCi19XAD7lvyOeqaXXFuQZ1x8FQrln12Iuq4Dcocb6hSymqK/0fa0vxQKNXOSiki6ho6FEoRpcuWLVvQ0NCgOuYYON6YxeSI4uJi1Qyvjz/+GC0tLQauiIgoOz300ENYvHgxfvWrX8Fms8nHx4wZg+eee87AleUGMVPqrx8fwl8/PoQ/frAvzi2oM6b/Zg3ueGkL3v2yNv6VKa08oRZiizn+qVtJXvC9iZVSRNRVMJSirKJt3Rs5ciQsxZzdkU4XXnghrNbwPAKv14u1a9cauCIiouz04osv4tlnn8UNN9ygmos5fvx47Nq1y8CV5Qax+57Q6vZGXKfZ6cHxhvZMLSknbDlUb/QScp5XZ/e9aMpYKUVEXQxDKcoq2lBq5syZBq0kdxQWFmLq1KmqY9rngYiIgGPHjmHo0KERx/1+PzwengCmm01TJdK/PF912evzY85T6zD9N2tQ2+TM5NK6NTbvGc8bmiml/RnQU5ovKqX4nkREXQNDKcoa7e3t+Oijj1THGEplhvZxZihFRBRp9OjRWLduXcTx119/HRMnTjRgRbmlJF+9y5jPp45Lln52HEfr2+H2+rG7pjmTSyNKK7e8+14ioVR40Lnfz0iRiLJf0rvvEaXLRx99BJcrPLTUZDJh+vTpwIYPjVtUjrj00kuxcOFC+fKOHTvQ76J6mAvLDFwVEVF2WbhwIW666SYcO3YMfr8fb7zxBnbv3o0XX3wRb731ltHL6/a+N20QJAn44wfBAfM+zQDuFzcckj9ucrJKJFU46Nx4olIqkfa9ktDue/4A0OL2othhjXMLIiJjsVKKsoa2Omfy5MkoKSkxaDW55dxzz0VRUZHqmPPwdoNWQ0SUna6++mosXboUq1atQkFBARYuXIidO3di6dKlmDVrltHL6/aqShxYMGcUbpo6EADg01SBnGkND3aub+WQ51RhJmU8b+i1bk0glHJYzXBYg6d4jWzhI6IugJVSlDUuu+wyNDQ0YNWqVdi3bx9b9zLIarVi+vTpWLp0qXys/eA2FIyebtyiiIiy0IUXXoiVK1cavYycZg61MGlDKa+ine9MK0/GO0NZHcVMynieUKWUNYGZUgBQmmdDjceJ+jZ3xOw1IqJsw1CKssaMGTMwY8YMAMCBAwdgt9sNXlFumTlzpiqUch7cjkAgAEmK/1c5IqJc4na7cfLkSfhD27QLAwYMMGhFuUWcl0eEUorno76NlVKd4fL641+JMia8+16CoVS+FTVNTizZehynW9yYPqIXf58j6qT6VjcKHZaEw2FKHEMpykqDBg0yegk5R1uZ5muug7f+OKzlfQ1aERFRdvnqq6/wve99D+vXr1cdFwG+z+czaGW5JVqllPIyQ6nOcXnCoRTb94wnV0qZEguWehbaATTj+Y8O4PmPDuBfd0zD+P6l6VsgUTfm9Phwx/9twepdJzF1cA/89ZbJCQfElBiGUkQEABg1ahR69+6NEydOyMecB7cxlCIiCvnud78Li8WCt956C71792blgUHEuYA3olJK2b7HUKozXN5wwOrzs2rKaB5/cpVSd84chpI8K9bvO4X6Ng9ONLYzlKK0aWz34P89+zHmjKnCf106zOjlpNyyz05g9a6TAIAN+0/j2XX78R/Thxq8qu6FoRQRAQAkScLMmTPx17/+VT7Wfmgbis6+0sBVERFlj23btmHz5s0YOXKk0UvJaYnMlGKlVOco2/eMbOXz+wNw+/xwWM2GrSEbeOWZUokF4edWl+Pc6nLc+PxGrN1Th1YXqzgpfV779Ah2nmjCzhNN3TKUeueLGgBAod2CFpcXyz47wVAqxRhKEXUj1fcsS+h6Bx/RD5q0oZTr0GcI+H2QTLn9yyAREQCMHj0ap06dMuzrP/300/j1r3+NmpoajB8/Hr/97W8xefJk3esuXrwYN998s+qY3W6H0+nMxFLTyhyqUPMFYsyU4qDzTlFWSjk9xgUa1z27Acfq2/H2nRehJN9q2DqMJgLXZGfZFNiCv7+1ub0pXxORnu42j7bd7cPar+oAAD+7chQWvLGDu7umAZshyXCHDh1CQ0OD0csgAJdeeqnqst/VCnftPoNWQ0RkvKamJvnfo48+irvvvhtr1qzB6dOnVZ9rampK6zpeffVVzJ8/H/fffz+2bNmC8ePHY/bs2Th58mTU2xQXF+PEiRPyv0OHDqV1jZliCVWL+HycKZUuTsVMKeXHmRQIBPDpwXocb3Ti1U2HDVlDtnCHKqUsCc6UEvJtwfqDVjcrpSh9CuzhOpcWV/cKQHfXNsPp8aNnoR3ThvQEANS38Y8eqcZQigx31113oUePHpg6dSoWLlyIL7/80ugl5ay+ffti1KhRsNlssA8Yh9KLboS5oMzoZRERGaa0tBRlZWUoKyvDrFmz8PHHH+PSSy9FRUWFfFxcJ50ef/xx3Hrrrbj55psxevRoPPPMM8jPz8fzzz8f9TaSJKGqqkr+V1lZmdY1ZopJp1IqEAjAowip2tw+Qyt8ujp1+54xj6NyRthLnxyGO4d3BBRVgElXStlDlVLdLCig7BJA+Ge1rtll4EpSr6k9GED1LLShrCBYrdnu8aGdQW9KsX2PDOX3+7F69Wr4/X58/PHH+PjjjzFw4ECMHj3a6KXlrH/+85/o378/Rv/ifaOXQkRkuPffD78XHjx4EP3794fZrG5p9vv9OHw4fZUcbrcbmzdvxoIFC+RjJpMJM2fOxIYNG6LerqWlBQMHDoTf78fZZ5+Nhx9+GGeddVbU67tcLrhc4ROKdFd/dZSoFlFWRvl1doi7d8nn+PW/jetWrSSZom7fMyYMUoZQB0+34fKn1mLljy+GOclqoe5AtO9ZEpwpJbBSijJBGdDUNbswuFehgatJrWZnMNAtdlhRaLfAYpLg9QdQ3+ZGni3P4NV1HwylyFBbt27FmTNnVMdmzZpl0GoIAEaMGGH0EoiIssbFF18sfzxjxgycOHECFRUVquucPn0aM2fOxE033ZSWNZw6dQo+ny+i0qmyshK7du3Svc2IESPw/PPPY9y4cWhsbMRvfvMbnH/++fjiiy/Qr18/3dssWrQIDzzwQMrXn2pmnVBKOU+qqtiBmiYnXt98FHdcMhSDehbIn/to7yn0KrJjeGVR5hacJsca2tHi9GJEVeq/F2WllNOgSintgPX9da1oavegrMBmyHqM5PF1sFKKM6UoA9qUoVRL96qUanYGK6WKHBZIkoSyAhvqml1Y9PYu/NeMoRjWDf5fkg3YvkeGWrlypery8OHDMWDAAINWQ0REFF20Aa4tLS1wOBwGrCi6qVOn4sYbb8SECRNw8cUX44033kCvXr3wxz/+MeptFixYgMbGRvnfkSNHMrjixOmGUorWvRdvCQ9/V7aSHDnThhue+wSXPbEWgYBOaVUXEggEMO2R9zD7ybU4nYaTQJeiOsplcKWUxSTBYQ2esnS3eTWJEq2Mie6+J+SHZv1w9z1KJ2UodSpF7XvPrduPh5fvNPy9WlRKFTmCP0tloQ0Xlm4/jq/97qMO3++vVuzCRb96H3e+stXw7zEbsFKKDKUNpVglRURE2Wb+/PkAgjOa7rvvPuTn58uf8/l8+OSTTzBhwoS0ff2ePXvCbDajtrZWdby2thZVVVUJ3YfVasXEiROxd+/eqNex2+2w2+2dWmsm6FdKhT+u7lGASQPLsPlQvSqwOXi6Vf74WEM7+pWFn8eupskZDmdONDrRozC1z5uqfc+gSikRStksJuTbzHB63DkbSnnkgK6jlVIMpSh92hWVeKmolPL4/Hho2U4AwBVje2NC/9JO32dHhSulgmFUWX64UrO9g3ML3V4//rh2P3z+AA6facM9c0aid0lutwKyUooM09bWhg8//FB1bObMmQathoiISN/WrVuxdWvwr5k7duyQL2/duhW7du3C+PHjsXjx4rR9fZvNhkmTJmH16tXyMTGTcerUqQndh8/nw44dO9C7d+90LTNjRCilDKKUAZXFJKFHqMXrlGLr7sb28I5JS7efwPu7TuLRFbuw8YB6jEBXcKKxPa33rxp0blCllAjG7BaTvLtXa66GUv6OzZTKY/seZYAynEnFoPPaJqf88d6TLZ2+v85o0lRKlWvahzuyEcSxhnbV/7OMmtuXTVgpRYb58MMP4XaHf1k0m8245JJLDFwR6QkEAvCeOQpzYQ+Y7F33r8pERB0lhp3ffPPNeOqpp1BcXJzxNcyfPx833XQTzjnnHEyePBlPPvkkWltbcfPNNwMAbrzxRvTt2xeLFi0CAPziF7/Aeeedh6FDh6KhoQG//vWvcejQIXz/+9/P+NpTTYRS/oCyfS/4S71JAkwmSa4cUlZKKdtKHl0RnsX16YEzeP3289O65lQ70RA+aUvH7njZsPueS1EpVRAa2N0dK6X8/uDeZbEGuIvXty3pmVIcdE7pp6zEe23TUdx0fjXO6lPS4fs70Rh+f/vyeBMwqVPL65Rw+16wUqo0Xx1KHTnThqEVyc2VOqSo2gWMe4/NJgylyDDa1r3JkyejpKTjb2CUWq27PkT7vk/hPLgNvpbT6Hn1PSgYeYHRyyIiMswLL7xg2Ne+7rrrUFdXh4ULF6KmpgYTJkzAihUr5OHnhw8fhknR2lNfX49bb70VNTU1KCsrw6RJk7B+/fpusbutWYqslBIfi/amnoXBE4fTLeE/fkVrK+mKQcexhnClVDr+yu7yZMHue75wKFXoUIdSb2w5igHl+TinutyQtaXSt5/7GCebXFh+54VwWM261wnvvpdcKJVvD1VKdcHXOHUd7ZrQc9HyXfjb96d0+P6OK97fvjje2OH7SQXloHMAKM5TxycHTnUklGpTXWalFEMpMhDnSWW3ls/ehfPAFvmy89A2hlJERAaaN28e5s2bp/u5NWvWqC4/8cQTeOKJJzKwqswTLUx+nfY98bmeolKqNRxEadtKHv/WeMx/bbuq4qqrULbvOTs41yQW1e57abj/hNYQOlGzW8woVLTvbT50BvNf2w4AOPjIlYasLZU+3n8m9N/TmD6iQvc6Hn946HsyRKUUZ0pROmlfX6cVbdMdcVxRCfrJgTP43XtfYd6MYZ26z47SDjrXthAfPNUacZt4DmorpQx6j80mnClFhqitrcX27dtVxxhKZRfHwAmqy86D2/WvSERElEEmuVIqHJx4QlU1ogWqR6hS6pSiUkp8PLZvCf56y2R50Lmy4qqrULbvpaVSShFKef0BuX0sk9yKljUxU6rF5cMXx5syvpZ0Uc6VOXKmLer1PD6x+16S7XuhSqlWzpSiNGoLhSr/MX0IAKDF5Yl19bi0M/N+8+6eiGqsTGkOfS/FofY9m1ldzfjL5Tvx/q6TSd3nYU2llPL9NlcxlCJDKIe1AkBhYSGmTOl4mSelXl71BNVlb8MJeBpqjFkMERFRiKgWUWRS4UopEUoVRM6UEpVSP5o5DBcO6xUemO7reqGUun0vHZVSPs1lA0IpxUypQhGuuLxoau/cCW828SjCviP1+sPrA4GA/Pq2JjnoPF9USrlYiUHpI3bfqygKvu+2dvL1Jiqlvnt+tXzM5fVhy+F6HOhAZVJnaCulbrt4MCb0L8WcMeGdb5//6EBS96mtlDKqGjWbMJQiQ6xatUp1efr06bBarQathvRYK6phylMP83UeYrUUEREZy2SKrJSSZ0qZNTOlFG0kIpTqFTpxEgGWrytWSikGAXd0W/JYtDvuGXHSpNx9T9m+J04SuwPla09bPSF4FKFpsjOlRPue2+eXQz6iVBPvQT1D760tnfwZFTOlLhzWE6HCWBytb8c3fr8el/xmTafuOxafP6AKioHIQecVxQ4suWMa/vDvk/D4t8YDAD472ohAEm3gJ0P/LxJt5omG/oFAAJ8dbeiWIRZDKcq4QCDAeVJdgCSZ4Bg4XnXMeXCbMYshIiIKkcMkxTmAPAhabt8L/rLf0ObBj17Zij9/eECeLyVOBMT8KWW4lU2OnGnD4+/uxiNv78ILHx1QtdDVt4XDtnTPlNK7nAnKSinRvtfs8qLJ2X0qpZRVekfq9UMp5esz2UqpPFu41cio9ifq/sRrq1fovbWzIaho3+tdkie3rCrbW+s7ObNKTyAQwDf+sB4zH/9AXnsgEIgYdK505bjesJolNLZ7cDRKpaMe8Xj1KAj+8STR99dXPj2Cr/3uI8x7aQs8Pj/W7D6J93edjAjSuiIOOqeM2717N44ePao6xlAqOzmqJ6Bt1zr5svPQdgQCfkgS82wiIjKGSa5wUlZKqWdKleZZYbeY4PL6sWTbcSzZdly+rpg3JXbqy9b2vd+8uxv/Uqy7umcBLgkNwlaexKQjMNK272XyL/N7aptx4FSr/H1pK6WUz1cgEIAkJRfUZBNl4LS/rhUPvvUlJg8qx+yzwq1BqkopU3K/f9ksJtjMJrh9frR5vCgBuxIo9cSgc1GFCgR/Vm0WW9L31ez0oL4tGAT1L8+D1STBDcCjqCo8cLoVZQXJ33csTo8f2480AAD2n2rBodNtMEmS/POnF0rZLWaMrCrGjmON+OxoI/qX58f9Om6vX67sLSuwhr52Yu+vf1l/EACwaudJ/GX9QTy0bCcA4CeXDTdsEHyq8MySMq62thYjRoyQL/fp0wcjR440cEUUjbZSyt/eBE/dQWMWQ0REBGXbXfhYeOZO8Fdbk0nCE9dNwNcn9lXdNs9qht0SrB6RZ0plafveqRb1boFnQoPaA4GAqgohE5VSmdyy/LIn1uKHf92MtXvqAETuvqeslPJkaaCYKOVrr93jw58/PIDb/7YZ++ta5OPKKohkK6UAIF+ex8VKKYrtvV21+M+Xt6IxibltgUBAbt8rdFjgsAbfg1tcHWvhOxRqYy0vsKHIYYXVEro/RUtgR3a8i6ehXbEpRrMbP/zrZtz64iYAgCSFW2G1xvQtAQDsONaY0NdRViyW5SdXKSXeBwFgV02z/PEbW44l1T6YjVgpRRl38cUXY9euXTh8+DBWrVoFt9vdpf/K1Z1ZS6tgKa2CVzHg3HlwG2wVgw1cFRER5TKzFFkpJcIJETQBwBVje+Pys6rwz63H5GPKk3rxcbbOlBIhgkkC/AHAGapeigyM0j9TSls5lQkfhEIpZftei8uLdo+6Qs4W+ht7k9ODxjYP7BYTKoodGV9vRygDp9unD8GHX53CjmON+I//24KhFYWQJAlTB/cAEAxjO/L7cr7VjAZ40MYd+CiO7y0OhjAVRXbcd9XohG7j9Pgh8pB8mwWFdiucHleHQ6nDoTa9AaGqI/GHhmZFGJ2OUKq+NXz/X51sVn2u2GGVK3S1BvcsAADUNjl1P68ldsK0miU5ZEr0/bVQUa1Vo5gruP9UK376z8+x8KrRqpbdroShFBlmwIAB+N73vmf0MigOx8AJaGlYIV9uP7gdxZO/YeCKiIgol+lVOGl33xNMJglmkyR/3mYJNwmI+8nWeRziL+rlBXacanHJlzNRxRTZvpf5x0i0BCnb91pcXtVOcuI1sLumGXN/96FcQfY/l4/E7aHt6bOZeF0W2Mz4n8tH4sqxjZj7uw+xq6ZZroRYuj3YwmnpQJUUEJ4rxUopStTxhiTmIylC8TyrGYV2M061dLxSSoRSA3sEQymbHEqF7+9AlE0BOkNZKXVIcf9j+hbj6xP7Rb2daOtLdAMG8b6WZzXDYQ3+bCb6/qqslBKPU5HDgmanFy9vPIwxfYtxw5SBCd1XtmEoRUQxOaonoGV7OJRyHf0cAa8HkoVzCYiIKPNEmORXhFJiNo/eibtFEUpZFbuXifk8WVspFfqLeo8CG061uOQwSjtAOBOVUkYGd8pKqVaXT1UxIeZL7TzRpHpcth2pz+wiO0hU+Ild9cb0LcHfbpmCPbXNaPf48KsVu+XrWpOcJyXfzpzdr3PKPqYEKvKWbj+OXTVNGNgjWClkt5hgNklyNU9n2/dEpZR4T1f+3B841RJ5w05qbAvfvwh8zh5Qijf+Y1rM24WrOBNreRR/XMi3WWAP/ZEk0Uop5R9VxBqf+n8T5Aq3k00u3dt1BQyliHJQ9T3LEr6uY8BYABKA4C8zAY8LruO7QseJiIgyS69Syiu370WeuNvMJjnQUYZW4d33Alk5MFv8Rb1HoQ2ohaJSSlPFFGceidvrV53MJKJdE3QZGkqZw5VSzU4vGtqUoVRwXdq5YNk6vF5LhKnKttJpQ3ti2tCe8PsDeHLVV3LY1tFKKbO8W2XXeEzIePHeCneeaMJ/vrxVdUxU5InZS60drpQKtuZFtO8p7m/niWYcPt2GAT3iDxZPVINijtbB08E1iJlPsSQbwok22nybGfbQ/C3tHwGi0fsDxORBPfDDiwbjj2v3d/gxzwYdityffvppVFdXw+FwYMqUKdi4cWPM6zc0NOCOO+5A7969YbfbMXz4cCxfvrxDCyaizDLnl8BWqZ4h5Ty4zZjFEBFRztOvlNJv3wMgD8oFtJVS4etmYxWJOMEoD+0yJU5ItO17ysG5WkfOtGH8A+/i529+kdTXFoOOxclpZ7Z37yy7NRxKnW51qQIosSOXX/P8ebLw+dTj1ZmFJphMEvqW5smXla/dZFh0dquk3HayyYlfLvsSDy/fibrmYHWNMuzWez0q/WPz0Yhj+aFWNLnVNsF2Nq1oM6WU9+fzB/D0+3s7dP/RKMPuw6FqrdIEQqmiJL9f8ceGfLsZjtCmG4lWSmnf6wvtFhTaLeFK0hj/L8h2Sb+7vfrqq5g/fz7uv/9+bNmyBePHj8fs2bNx8uRJ3eu73W7MmjULBw8exOuvv47du3fjT3/6E/r27at7fSLKPtpd+NoPbTNmIURElPOSmSmlPWYzR86U0t5XNvD5A3L41CMUSonqpWSGkP9+zT60e3xYHNpKPFEilOpVGNzi3Z2hSim9HaRsZjNK8q2QJED76eiVUl0jgAmHqfqnZP3KOh9KyT8vXaR6jNLvbx8fwp/WHcCza/fj1U8PA4Bqx71oRXX761rw0ieH8eLHhwAAi74xFiOrilBot+AbZwfnLnW2fa+pPdS2XBh837PJ7XvB472Kgu9JYiOEVFHOlBI/l6X58UeVJF8pFQqlrJakK6XaNKFTZXHwsciX58Z13UqppNv3Hn/8cdx66624+eabAQDPPPMMli1bhueffx733HNPxPWff/55nDlzBuvXr4fVGnxiq6urO7dq6pJef/11/PKXv8Tll1+Oyy+/HOeff778mqDs5qiegKaNbwQvmK0w2QsQ8PsgmbrmDg9ERNR1yZVSAWWlVPQWJ1V1lGr3vfDxbAullDullRcETzzEMNzIIeTRQym9kC4evz8gz2/pWWjHyWZXxiql9J4Hm8WEkjwrHrpmDDYdDM6KEjsqiplM2iqgbA5g/P6AvJOXL8brFoCqUqqj7XvZPjuNMq9JUdVTH6oQalKEUnoBi88fwLV/WC9ff2CPfPzbpH64fvIA1fWUO2V2hAjfxRBwi9y+F/y6I6uKUNfswpk2d0rbrhtaI2dClSUSStmTHXQevF6eLTzoXFv9Go22rbqqxKFaQ1feYTOpyN3tdmPz5s2YOXNm+A5MJsycORMbNmzQvc2bb76JqVOn4o477kBlZSXGjBmDhx9+GD5f9P+BulwuNDU1qf5R1/f2229j27ZteOSRRzB9+nR885vfNHpJlCB7v9EoPu/fUHHdQ+h/5yuo/NYvGEgREZEhLEnOlLJGCaKUlVK+LAsxxF/EzSYJJXnBE45o7Xuxdm6K14ajp8XthXhoe4aqEjwZenz0wiQxDPiGKQPxxHUT8MR1E9AzVEUhwkjxWnCEKg88Wdqq9uBbX+LcX67CydD28fKg8yjPkyqU6sBzCQDiRyLbglcyjvI9RLzXKCullEPFhRanVw6kvnPeQLx+2/m61XuF9o7PlPL7A3IALgIb8f4t2uN6h4IYt9cfUTnUGcpKKaEkofa9YHDl8voTCu/lSimbWX5vS3SzCm37XlVx8P0hv5NBYDZIKpQ6deoUfD4fKisrVccrKytRU1Oje5v9+/fj9ddfh8/nw/Lly3Hffffhsccew0MPPRT16yxatAglJSXyv/79+yezTMpCgUAAK1asUB2bPn26MYuhpJmsDpRd/F3kVU+AyWo3ejlERJTDzDqVH/LuenozpczxZ0p5syzEECd0+VazPEBYnLgks/teR4IMsQuVzWKStzt3JzjzpLP02gT1hrRrW9LE828PzWjJ1kqpP394AKdb3Xh27X4A4XVGa83rV56nezwZrJQiLeXGBaK6Rh1KRYYbolLJZjHhwWvGyG10WvJMKVfy7xlOxftMnhxKhWZKhd4Ty/Jt8nvCmdbIIKmjlDOlhEQqpQrs4T/SJxLEtal230uuUkrc1m4xYeKAUnx7SjAjKbSL9r0cmimVLL/fj4qKCjz77LOYNGkSrrvuOvzsZz/DM888E/U2CxYsQGNjo/zvyJEj6V4mpdnnn3+O48ePq45dfvnlBq2GiIiIuiqzJFqfIged61UGWVShVPjzkiTpzqfKBqphuKGTs/ZolVIxAiNzB1q+xMlpSZ5VnsGVuUqpxEIpEbSIk2uftlIqy2dKeeRZWMH/RqtoG15ZJH8sTvaTla2vcTKOW6dSSsxyAvRDKRF4FMV5HXamfU9Z9Sne98R7kGg5tFvNKA9VMNW3dTyUanF5sfdki3xZGcoJiey+ZzGb5AAtke+5XbH7nni/SnTQufgDxJvzLsA//2MaJg0sD92XGHTedSulknp369mzJ8xmM2pra1XHa2trUVVVpXub3r17w2q1wmwOp4ijRo1CTU0N3G43bLbIJ9tut8NuZzVGd6Ktkho4cCBmv7AXkrTPoBURERFRVySCFnUoFX02jy1K+x4QPGH3+QNZd8IuThQLbBb55Czcvhf8b0meFY3tnpjte8pKKbfXrxvwaDU5I0OpTA061wu/7DprFuGieN7C7Xtm1WW/P4D9p1oxpFdBymbPpILYHVBUSlmiVEqd1acEf/neZLz0ySFcOa5Ph76WRWe3Ssp+b24/jrd3nMDDXx+LsoL44UgylKFUe6Lte6FKKTHYOxpRtdOicx/xiPc4m9kkh6niPT3c1mdCWYENNU1OuZ2wI+a9tAVrdtfhstGVGNSzAMfq2yOuU5KX2OzjQocF7R5fQnOl1O174r3dj8UfHcDWIw0AgDljqnD5mN4xb6v6+p1omcwWSYVSNpsNkyZNwurVq3HNNdcACFZCrV69GvPmzdO9zbRp0/DSSy/B7/fDFPqrxp49e9C7d2/dQIq6J20oNWfOHLydRb8cEBERUdegWyklz+bRCzCULXvqz1tNEtzIvplS4i/e+Xaz/Ff4djHoPPRfOZSKMVdFOWOr3e1LLJRSVEpZLeoTwnTTq3DSC6Us5iiVUnL7XvD4k6v24H/f24v/njUc/3npsLSsuSO8mkqpWG2WFw/vhYuH9+rw12KlVNeyYd9pPPL2Tmw/2ggAmDGyAt88J7WjbOK177W4vBFDxEXgEq9iL88mZuAl/54hqkHFrnRA5B8SHBaz3FZX34n2vQ37TgMA3v2yNup1Eg0Di+wW1DW7EqqUalW17wW/tyP1bfj50i/l63y093REKBUIBCKGwAsipGrLpfa9+fPn409/+hP+8pe/YOfOnbj99tvR2toq78Z34403YsGCBfL1b7/9dpw5cwZ33nkn9uzZg2XLluHhhx/GHXfckbrvgrJaS0sL1q1bpzrG1r3uQW/rZiIionQSJ9m+QORMKb2Te2X1lM2i/ry4r2wbjC1OLvKt4Uopl6Z9r1gMQI/V+qF4jNo8if0VXd2+F/zamauUSrR9Tz1TSgQudqu63fB/39sLAHhs5Z7UL7YTtOvu6BDzRFjkysLoz6HL68N1f9yAcx5aicez7LHKBYFAAEfr2xAIBLBIEUgB6p3yUsXti2zfU4ZS/kA4PBFE4BIvlBJBS6ItaUqiUipPEbrYtKGU1SyHRZ2ZKVUcqoK6cFhP3HrhINx64SA8/PWxquuUJlEpBYSryWJRtu/ZQ9+nmGcl3gf0dtFThnxRK6XcXvnczOX1YcvhepxojKwAy0ZJNydfd911qKurw8KFC1FTU4MJEyZgxYoV8vDzw4cPyxVRANC/f3+88847+PGPf4xx48ahb9++uPPOO/E///M/qfsuKKu9//778HjCP6QWiwUzZswANqw1cFXUUb7WerQf2IL2fZvgOrYLrl8cYbstERFljAiSAoFgS5LJJMmhkt5snmiDzoFwxU22DYHWr5SKbN8DggGMzx/Q/d5dOief8YiT02KHRa6U8mSoUkqvmke0uCiJ51FUGvm1lVJxQsbTLS6s++qU6nmv7lmASQPLOrbwJGnb96INOk8FkxS/UurL40345MAZAMBLnxzC/FnD07YerX9tO4ajodYps0nClWN7o395fsa+fjb4/Zp9+PU7u3HdOf3xWSiQ6llow6kWt24rXWfF230PCO52J8KOQCAgt8olHkrp/wyeanHhX9uOI99mxjfO7qv6+XbqVAJFVEpZTfJMqYZOzJRqC4VsD10zBgN7FMjH99W1YO2eOlw8vJc8Hyse8Zgk076Xp9h9TxjQIx/761p1N2poV2xooa2UEuv0B4LhVZ7NjB+9sg1vf14DSQLW3nVJ1v9MdWhi3rx586K2661Zsybi2NSpU/Hxxx935EtRN6Bt3bvgggtQVFQU5dqUzfzOFhx9+iYgEP4fzbp16zBz5kwDV0VERLlEGb74AgGYIMntd3ozpWK174m/TMcajP3F8Ub87r29sFtMuPeq0ehZmP4/xLSrZkqptw0XrXTKeSdOj0/3BEpvdkw8YuBxSZ4V9gzPlNJrE9StlDLHrpSKt/veT/6+He/vrlMdkyTgg59cggE90n/yFm7fiz6gP1XEazxW8Hq6JXxyX9/mkcPedNt86AzufGWb6tjGA2fw/HfPTfvXzia/fmc3AODVTcHNvS4c1hOj+xTjjx/sTyjoSJYnTqUUEJwrVVXiAAB8+0+fYMP+YLtbvJlS8XaU++3qr/CXDYcABKugrp3UT/6cqAZSVkpp39PtFkWlVAdDqUAggDZPuI1O6b6rRid9f4VJDHdv94TnQjms6ve2wT0Lsb+uVbdyV1RP2S2miPcL5ePV4vIiz2bGjmPBcDMQAI6cacv6UCrtu+9RbgsEAnj77bdVx9i613WZHIWwVQ1VHdM+v0REROmkCqX82jao6EOxgcj2vURO2F/46CDe/rwGS7Ydx98+PtTxhSehVbVDk/7ue9pQSo/eLlvxKNv3rJrZTemmXyml85yaRKVU8PqiNU08VrHW6/H58fH+YFXQ1ME9cPHwXijJsyIQAHbWNMVcX6qGhcu774X+a+3ALomJMmseKz2nW13yxz5/QHcnsnT4aG8w6BhaUYhLR1YAAA6facvI185mFwztiWJH8Oc7HZVS6rA6+F6jHZJ9+EwbnB4fTre45EAKSKBSKhS0RJtDd6LRKX98vEHdWiaCc0esmVJWk2KmVMceG6fHL3c2a1vhOkJu30sgQBSPc3CmlPprD+4VrNgKBCL/nyS3Nuqs12SSUCDmSoWeT2XQ3BXmyTGUorTau3cvDhw4oDrGUKpryxs8SXV5+fLlBq2EiIhykUU3lIrevmeJ0b5nNsdvbVKeaKzfdzrq9VJJnimlCKWCJ1IBuX3PYTXLVUTOKCeAyhPDRLcLl9v38qzy/Uerekg1EdaU5see5SKqJzyaiiPt7nt6dp1oRrvHh2KHBf/3/Sn4y/cm48JhPQEAh09HD0TOtLox+eHVuPv17Ql+N9GJmVeeLKmUOtWirjg53YlZPcnYGGoZvGnqQNx9+cjQWlyxbtKlbD50Br95Zzf+vulIUsFuab4VRY7EW8KSpQqrPb5g5ZAmtL7lL5sw+ZersEZTURivUkrMgIo2U0r5dRo04afTG9m+p62UdFjNKA9VStV3sFJKObMpz9r5UKooiUop1e57EZVS4TZC7etFvl2U9eYr1tDq8qra/XxdYAZwh9r3iOKpvmcZAKBp81LVcXNBGb720hFILx81YlmUAnmDz0HjRy/Ll3ft2oWDBw+iurrauEUREVHOMCl2hPJGVEpFntzbYu6+F7/dSzlIfOvherS5vREtH6kWnillUVUNuLx+efc9m8UEh8UEt9cfvVLKl3z7njKUEoGcJ0O7E4oTsV6Fdnn4r377nvp5ExVMoqrK6wtErWrafCgYhJw9sExuURsYatk7dKY16trWfVWHUy0uvLbpKB66ZmxCOxkqKTeHESGqL/T9WtI4U8psTq59D+jcAOlEeXx+bDlcDwCYPKgHehaKOUEeeHz+tM7ZyoS9J5vxb89skCty3t99Er+/YVLsG4UU2q2wWYI/r2kJpRTvC4HQHCIR1FwwtCc2HjgDt8+PJqcXr4VaCoWiOJVS4v0qWpCtDG60FXnhSilF+57mPd1hNaE0v3ODzuW5TlZzStpUCxKcKfXI27uwq6YZQCiU0lRKDVKEUtpgXX5solR2FYZ2AGx1+SKC3WzbXVZP1/5pp6zn3L9ZddkxaJJqe1HqemxVQ2HKK1YdYwsfERFlivIkRQQP4ZlS0XdqAyAP7hZEhUqswdjKwMfjC2D0wndwJM0tRqJSqkBRKSXWIk727BZFa1+UwKkj7Xvi5LTQbpGDF3cHdtLqCI9i8Pcz/z4JP71iJEZWFUdcz6p53sKVUuEZWE2aticRCm053AAAOHtAeKj5wPLgyeChGJVSxYp2yV1x2vz0KIM9j2YWljUDlVKJtu8BwJnW9Fcr7T3Zgja3D0UOC4ZVFKIs3wbxMGQiFEu3v286qtz8ElsONSR82yKHBUX29LXvaTcuaHN75feH/75sOPb8cg6mDCoHAHkAvhB/0LnYLVT/PVXZJiiCZ0FUfMZq37NbzCi0q1uakyW+1wJ756ukgHCIFm/23r+2HZM/HlpRGDFTalAvRSilrZRSzKLSI463ur0RlY9doVKKoRSlTcDrhvPwDtWxvMFnG7QaShXJZEbeIPXzyBY+IiLKFOVfthOplLIqKlq024ubE2htEsN3R1aFN2nRnqilWnimlAVWs0n+vto9Prktxm4xySdD0Vpl9GbHxOOWQy+T/HhlqlJKOWPp8jFV+MFFQ3SvZ5YH1IuZUurd94DIljRxInqyOTjTplpRlSCGm8cKG5WP5bYjDfG/GQ1l8Cm+T7F+s84stFQRlYW+GMGrtlIqE+17IpwoL7DBZJJgMkkoLwhuItDVW/h8/gD+uTUYQPx8bnBw9ulWl6paTklbdVfosCTcvrd2Tx3W7z2V1Pq04Umb2ycH26IKVBnCqtcWu7U2vPue/nuSMpRq0rbvKSqYhMj2PRNs5tjBVzzi/VVvPlNHyLP34rQ5i7B11fyLUJpvg91ixg8uGoxhFYX47vnV6KXYREP7HLXrPDZKolqr1eWNrJTiTCnKZe7afQh4Ff9Tk0xwVE80bkGUMg7NXKn33nsPTqczyrWJiIhSSzsnJ9ZMqZjte+YE2vdCf6H+6RWjcM7AMtWxZDk9Pjyw9Av858tb5TYyPcph40D4RMTp8SsqpUyKnfmizJTS2WUrHmUlVrhSyh+6Dy8+O9oQUYWUKp4E29nCz5v+TCkgHD4J4jEVj5VyNsuA0M5UR+vbsWHfadQ1R4YiynakraFqq2ToVUqJoCidg84TqZQSJ7F9QrutnWlJfyglXlPKn0/RwqcNFLuaw2facLLZBbslvLucxxdAU5SASRuWF9ktKAqFP9FuAwB1zS7c+PxGfPu5TyIqa2LRtta1e3yqzRUAyIPWtRKtlPIHIqt9AHX7XkO7+nkW76vKn2Ptz4bdEp7F1NFdQZW7m6aCVTPjLtrXFI97VUmefPynV4zCyvkX4+dfOwuSJMn3pf1/khxKRVmzeF7a9Nr3ukAoxZlSlDb2vqPQ7z//hvb9m9G+71P4XW0w5xXFvyFlvWCllAQg+CbX1taGdevWYdasWYaui4iIcoPJJAH+gNyWIH7p1ju5T6x9L/ov7S65pcSMvmV52HSovsOh1Ed7T+GFjw4CABra3PjrLVN0rycCFDHw2241o9nlRbvbF65ksiqHoOuvx9WB9j05lLKa5PBHnPzN/e2H2FfXil5Fdqy/Z0bK5/6E2/dihzQWzYB67UwpABHBUmO7B31K83RPfKuKHbCF5nNd/6ePUeywYOPPZqqu41I8xmIuTCJqGp1YtuOEqkrGE1Eplcbd98RMqRjBqwiBhlUW4XijMyOVUi5feDaa0LPQDqAZp3RCwa5EvMaKHNbgP7sFzS4vTre4VLtmCtrXe5HDKr9GYrXvKdtIXV5/wrPJtOFJi8sbDmtFKJWnHxMUxRt0rng+tWtqdnrQqngfipgppfOzqf1DgsNqhj/0s+Tq4PuwqNZKVaWU+J5jVZSeCQ1lt5rDO+XpsZpN8Ph8EaGUCJpKo1Sw5Sna97TVdV0hlGKlFKWVOb8EhWNmoNfV/4PKbz1g9HIoRcz5JbD1Hq46xhY+IiLKFLlSSuxiFqMNKlb7XrjiKv5MKYfVJLeHdTSUUp4saLdgVxKzVkQolWcTu+z5NJVS4QoqPar2vQTXrKxgUVZKOT0+7KsLDgKva3ahPg3BhUdu34t9iiJOVLWzmZQns3qhFBB+HMRjCgRDzv+aMRRDKwoBBKtTtPNulAFfrOdO65fLd+LBt77EQ8t2ysfEYxwOU9N3Sia/xqO0jvn9AXmG1PDK4PefiZlO8uvMElkppZ1xlai9J5vxUZKtbOmg/BkFgB7y96X/uGqf/0KHRa5Ucnn9qp9jpcOKdtNo1wGAk01O3PbXzXKbn7iuCMiU7Zty+14HK6W0oZTwysbDGPvzd1UBScRMKU/4DwCCVdO+Z7cq3pc6WinlSXWlVPz1iPfLsnxbzPnK4ufVo/l/0sHTwfdeZduxkvh/k8vrZ6UUdW1ix7xYDj5yZQZWQl1B3pBz4D6xW7789ttv44knnjBwRURElCvMkvpE2xdrppTimPbzFrN6NpEeZWWN+Gt0tBAoHmWYFW13KiBYRQUAJXnBk1lxwvGntfvl+1CHUvqBk0fVvpdYkCLPrLKaVG0p2u3XE628SobXl1hIE25xUYc7tjiVUoD+Dl8AMG/GMMybMQyj7luBdo8vopqkI1VnAFDT2B5xTNxenHjqvW5TRQS10U5MG9o9EJ8aVhHsaMhEKKUNbgBRKdXx9r2Zj68FAKz88UUYVmlcd4Y7IpSy4+DptqgVYNrXe4HNDOXT1ez0oIdi3pCwvy68W6Tb58cjb+/C8MpCfOPsfqrr3bvkc7z7ZS1WfFGDvb+cI993ab4Vje0enA6FGJIUHjKunCllM5vkwEX7c6NlNgVb0Dy+gGqu1D1v7Ii4risUdsvvY16dmVKaKjKHxSy/T3hCu2wmu4Neq0sE06mplJKDpFihVOj9s7zAFvO+orWUHzgVfK4H9czXvV24lbtrtu+xUoqIOiRPM1dq9+7dOHDggEGrISKiXBLe5l49U8ii0/alPOHT/tXdEueEHVD89V4xy6SjlVLKYCNaKOXzh2fPiEopcSLz9uc18pB1u8UEhyVcQaUn0d33th9pwI9f3Ya6Zpc8PFg5U8rj86O+VV3V0JpgyJUMceIbL6SRw0SdmWIisKpriVMpFeXkOloVhvKxTOb5b3FFXlesQZx4mg2cKSUel0K7BRXF4UHje082R93VMRXClVLh50EEL2v31OGpVV/hhE6gB8Q/yd57siVFq+wYEcaI11KP0M/vqShhn/Z9S5IkmE3hNq9ow86V3+cHu+vwzAf7MP+17TGvpwzgRSuYCDHyrWa5iqdY0aY3WLErXFl+7EHnQPwd+BxWk9yyqmzhc7rDVamC8v3bJAUDaWX43JFqKRHQx2qjS4byfTIaEfSWxnn8LFHmUx08FayKq+6hXyllt4T/YHKqmbvvEVGOsFUNhSm/RHVs2bL41XZERESdJVdKhX5v98YIM5QzTbQVCeY4f+EOBAJy4OOwmuQgo6NbkasrpfTvQ7kjlWiveeDqs+RjPnl+kjl++57i+4oWMAQCAVz99Ef459Zj+OMH+1SzfkS7o9vrjxhKnI7AQt59zxL7FEWEieFKKXFckj+nPZEXj6s4UY5WJSHvpBVRKRX+ftvc3qg7qWm1uCJnAonXj9y+l8bd98yaVlctj+L5riwODjrfVdOMmY+vxS1/+VR13e1HGjD7ibW47IkPsPVwfafWpTfovG9Znvz1n1i1B/+7em/E7f784QGM+/k7+OxoQ9T7jtUelQnhYDdcKQVArkjSirZrmxh2nkgodTxKgAeoA3BluCqqoT7eHwy6lUO0lZVSPQvt+PttU/H8d89BReg1EotdJ9hVvjcX2q1y6KUKpbyRFUzK9+/iPCskSVJV13VkB762OEPDkxXefS/6e4Jo34tXKSW/tymC1za3FzVNwY0bBkVr31P8weRYQ/C1ICoPWSlFRN2WJJlCA8/Dli5datBqiIgol4QHlKsrpXRnSimqELQDha1yxZX+L+1unx8ie1APFu9o+56iUirKfTQoKlfEyc7IqmJMri5XXU+9+17HK6U+PRgOF9o8PlXrkXKAr3b+S2saQil50HmcSimrZtC5T1EpJSoNWrShlNMLr88vnyhHrZQSlQqaE0zlib0/ELv9UqlVp1LK7fXD5w/IgVBaB53HqZQSz7fVLKFPaZ7qc+v3nVZd/ufWY9hd24w9tS1467MTnVqXW7SJKgKGy0ZX4q7ZI3D+kB4Awm2sSg++9SVa3T789J/qdjDlTm/pfDwTIV5jonpFnpUVpS0xWrWPGCquN+zc5Q2HD0Ds9yTl/bt84dejWN+HoVlTBfbwz4RyplRZgQ3nVpdjxsjKqF9DSTynyvc4ZchVaDejND/4mCjfV+TWWot++1556DYWkwSRO0YL92Npk3ffS02lVCIzpc6Evs+y/Hjte+rWZCBcJVWab5UfNy3x/yZlgDWwR7DVj6EU5aSlS5fizMpn0L5/MwLerr2lK8WWN1S9a9Dnn38Ot5vPORERpZc46RSzYH2Jtu9FqZSKdsKuPNELDjrvbPte/JlS4XlS6jYPu9UUcVk7U6rd7cNVv12H4fe+jRH3vo0TjU75+rtqmnS3aH/rs+Pyx8oQy24J777n8kbOlGpPQ/uemLEUd9C5Zu6Ksn1T3LZZU6Hk9vrh9CqfzyiVUlHa97QhYqKVYtpwTHB6fDF3jUyVeMP85cfOZEJJXnCnONXnFY+DcrB2rF3hEhEObsLPtcNqxh2XDMU1E/oCCP+MBAIBHDnTpqpOk6B+zJQ/TwZnUqq5bEC4fS/aAPdoAbUIcpo0j3Wz0yPPGBJivScpq/5E8GuzmFBVop5TpQxqlbvvlSfQsqckwmzl+52yHbDAbpG/txWf18jPq9wqrQiLlO8FZaHHUVktlWg4rCTa9/JTFkrFnynVkOBMKYtOwHVIDDmP0roHhCulDp1ug88fgNUsoaokWNXGUIpy0ksvvYTmLW/h5N/vx5H//TYaN7xm9JIoTfIGnY1x48bh7rvvxocffojDhw/DZov9ZktERNRZ2kopT4z2vVihVDjc0D+ZEFuOS1KwzSg86Lyj7XvKmVL69yEqpbSzR7Qhis1sjgilth6px+fHmuD2+iNO1mqbXFi962TE16ttCgdXyuHg2plSEZVSOhVAnSWqk+JtbW/VPP/ipMskSfJrQIRBYrcwl9enCpLsUVoEE2nfA4JVZfG4vf6o1RNtbp8cEMT7fjsjXvAa3vEweD1ttVSt4jVxRBVKdS6UFEGMTed5EGGOCEmfWLkHF/7qffz5w/DsUu2PuvJn0mRw+562NbFHnAHuriivkcrQjK9jDU7V8cm/XI3Ln1ynvo8Y4Yxbp33Pbjbh1gsHq66nDGm0lVLJsCt2ghOKFPdnNZvkoOv5jw5gQ6giT7S1Oiz679nKKiObueOhVHjQeWra92xR3jOUwjOl4rXviUqp8M+rCCV7xHgexGO+PxRW9i7Jk9fFUIpyjsfjwYoVK+TLAY8TprxiA1dE6WSy52P79u149NFHMW3aNJjNqfmLAxERRXr66adRXV0Nh8OBKVOmYOPGjTGv//e//x0jR46Ew+HA2LFjsXz58gytNP3kSinN7nt6bTux2vfiDYFWDjmXJEkOgdo9PuyqacIbW44mPFsIUA8kd3n9urdtbEsslMqzmSLaCffUNAMAhlcWqq579YQ+AIB/bTsW8fXqFWGTMpSymiX1TCnt7nsdDOZiESGTdsctLdGm6dFWSpnC1V0trmBoIirO3KGdvoBgRUi0uUPRQyltpVT8UKbVFf06To9P/n7TufueRfOzohUOpYLfd59S9cygY/XBFrFAIICj9eF2sc6GUm5f9FAqHDgEn6//fS84W+qhZTvl62ifP+XzE+3nOVPknQU1lVLaXQ1PNjnx8ze/UIVGSv3Lg+1Xf1izD9//y6f4w5p98Pr8ujPtXIpjfn/01lO5XdNiwsAeBXj02rHy5/KjzJQqSDK8Ed+3MshVDi93enz44cVD5MtHQ22I8s+naqZU+HlWDlm3h977oj12sbR7QoPO7SmqlLKo34/0hHffi111Jn4evIrKxvAMrOjrFY+veA/vW5onh7McdE45Z/369WhoaFAdyxtyjjGLISIi6iZeffVVzJ8/H/fffz+2bNmC8ePHY/bs2Th5MrLyBQj+//j666/HLbfcgq1bt+Kaa67BNddcg88//zzDK08Ps+avyV65DUpvplT89r1of0lWDjkP/jdcmXT5k+sw/7XtWL6jJuF1K6s5AgH9kxgx+Lc0T/1XcYfm5D3PZomYKbW7Njj4+PwhPVXXPWdgGQB16CR/PUUodTL0ebvFBEmS1LvvaSql2mIELh0l774Xt31PPXfFrwglxedEaCLm8ri84ZP5WCd3tiitOJGhVPyT4ZYYj1G7x6cI09I5U0p/i3nBq6nW0lZKHa0PVkedanGrwpBo7XurvqzF/f/6PGbVCKA/6FzQVkrpiVUpFe9rp5tyB0sAKAmFKcqh3gDw49e2YfH6g1Hvp39ZMJQ61eLCqp0n8eiKXdiw/7TudZWBt0fTqql8fxPPoXjcK4rCIaSyUkrZxmlK8vWpN1PKrXj9OT0+nDe4B+aMqQpdzycfB9QBvPL1oWx9s+u0CCZKrpSK0sKbrGhBtpKYJ5ZopZTy/w3xdgwFIv9o0a8sT9G6y1CKcox20LWtcggsRT2jXJuIiIgS8fjjj+PWW2/FzTffjNGjR+OZZ55Bfn4+nn/+ed3rP/XUU7j88stx1113YdSoUXjwwQdx9tln43e/+12GV54e8i/bob8Ai3BCv1Iqeihl1dnpSEl7khSulAqffCzfkfjAZ22w4dQ5oRJtciXxKqWsZnkgsJiVtKc2WCk1cUCp6rrlBcE2IL3qFuWsKLE1vDjhE4+X1x+Qd48Sj3G0wemdIQKSeDOltIPOleGOeG2IxzpapVT0+xaBiKbaRFOd0pZApVSsUOqm5zdiWWhYuDmN7XvxTky17Xvax0ZUSh2pb1Mdj1Yp9f0XN+EvGw7hn1sjq/KUxPOjXykV2f6lpf1ZV17XqFAqEAig1eWVgxIRqIjXYGO7R1Ud+emB2DsYikopJe0sKUHZGiye60AggNc2HVFdTwRj4nHvVRSeK6UMpZRBVLKhqQjjVAPWFT8/ImSxyzP6gtcTPy/Kyiy9mVLK9XeoUkoMOrenave9+DOlxB8EKoti716onZcHAM7QemPNwLJb1J/rW5YnP4ddIZRKzTNBFPLWW2+pLucNmWzQSoiIiLoHt9uNzZs3Y8GCBfIxk8mEmTNnYsOGDbq32bBhA+bPn686Nnv2bCxZsiTq13G5XHC5wpU0TU1NnVt4GsltCfLua9ErTiwx2vfMZnXFlZbcvidCKbkCIHyCta+uJeJ2u2ua8eWJRpw9oAwDFcNptcGGy+MHNOcoDe2hv6jnaUMp9cl7vk09UyoQCMih1MiqYhTYzPIOeWUF+lvLBwKRu+oBgC10gqMMDE4q2kIOn2lLKJSJ5cvjTfj75iO4aHgvjO5djMpiR0RAEo3FpK5MULZvagMtEQgoZ0ppH0ulRNv3EmlfjBVKKYfQx9ttsDNMcWdKqYNAbVXMB3vqUGC3YOeJ4PtBscOCJqcXTTqhlDJwibbTnKDdoU4pkUopbfueslKqI0FFZ/n9AXzjD+ux7UiDfEx8H6I6JhiM+mNW6t1ywSD54/5leRGfV7ZQKqkrxYLPw+ubj+Lu1z9TXU+04YqfsQpFKKV9LiwmCV5/AFNDuyEmyqZbKRX+OPxzKMLH4PtXo848PeXPc3m+slIqfnAZjZjRVJiiUCo8Uyr6DpenQ6G+mBMWTThwj2zfc8QKpTTvaX1K8+SfQaPbWRPBUIpSZs+ePdi9e7fqWN7Qcw1aDRERUfdw6tQp+Hw+VFaqt+OurKzErl27dG9TU1Oje/2amuitZosWLcIDDzzQ+QVngAiaRBghTgb0KqVsMSqlwjOl9E9snJq/6OsNOt9fp65caHN7cdVv18HjC6B3iQMbFlyquL/I4dn76lrkkzG/P4B3v6gFAPQuUadVykopSQquSdm+t/dkC5qdXlhMEgb1LECB3SKHUj1ClVLakKTd49MdxB2ulAo/niebgyFKn1JHKJTSD2UCgQBWfF6DM21uzBpViYpi/cqA373/FZbvqMELHx2ExSThsW+NjwhIorFqwkSvTvueUKyolEqkfc9qiRZKqb/fRHbf0wulxvYtwS+uPgt3vrJN3s0unYPO41VKaeda3Th1IF765DCA4Po3HarHpkPhip6x/Urw0d7Tuu17Te3h71dZ1XHodCtcXj+GVxbJx2INOk9kiLX2R11dKZX5k/BTLS5VIAWEf44KbGY54GlodyPPFgybAlCv8y/fm4zzBpfLl/vqhlJtEccA9XuSqBxd+9WpiOuJEFoEz2IIO4CIWVXrF8zAySaX6nlLhF5rnTIoHNQzGNQrZ+IpB/+rQ6nwE6083plKKVER2qMwNZszyUF2lLWI906rWYq/+54pMuBKqH1PEyiW59sUu9QylKIc8s9//lN12VxQBlvVUINWQ0Y4evQoli5diqVLl+KJJ57AiBEjjF4SERElaMGCBarqqqamJvTv39/AFUVn1lRKyScZBZF/hVZXSmlDqY627ylOtnzBtjDxuZpGp3xCcaLRCZ8/IJ8caIONtz47gUfejgwW+5bm4Rtn91MdU4ZSYlC3OHai0Ym7/xGsiJg+ogI2iwmFdotc3SRO5lpcXgQCAbnKRDsnShB/dVcGeuK+xMyhaKHUqp0ncfv/bQEQ3O79r7dM0b2eckcxrz+ABW/swNkDgrOvtMGSltzi4lfPlAq270WrlAq372lP4JQSnSmVSPui3qDzPJsZEweUoaLIHg6l0jpTKnbwqh103q8sH1vumwWfP4Bfv7Nb/tkCghVm108egI/2rofL64fb61eFSiea2iPu1+cP4OJfrwEAbF94mdyWGnPQuSWRUCp6pZQR7Xsndea1ie9DkiSU5FlxutWNxnYPepdEhk0FNjMuHt5LdUyviixapZTy9SjeF/WG8YdDqeDalEG+9vVaUeRQzZxKlF3n+RMfD+yRj6f+30TV9Zwen7zrqNUsqcIXa9yZUsk91z5/QB44r2xd7AwRZEfbabO2KfjaqChyRN1gQb4vzbw8IByAx2rf01Z/FjoscXfezCYMpShltC0BecOmQJI4tixXzJ07V9W+eckll+Cuu+4ycEVERN1Dz549YTabUVtbqzpeW1uLqqoq3dtUVVUldX0AsNvtsNtT80t6uikHlDs9PvmEsH955MmeeqaUZvc9c+wqEjGrSfzCL06WWjWBxDtf1ODqCX0BRO6w5fL65F2ttJVS20OVFYV2i9xi57CY8fA3xkbMO7ErTt7FyYlY196T4RbCH14c3OZdeXvRphJ8vMLtQ/WKk7P6Vrd88iJOhiVJgtUsweMLQHRmDekV3NkvWvve+7vDw/c/3HsKJ5ucutVSdU3BUOoft5+Pe5d8jp0nmvDh3mBlh9UU+/dH7TBgEbgE2/fUz3FJspVSYqaUptpGVPaItki9HdC0WnRa3MT6ShTtmfFCuM6Qd9+Lcu4erk4Lr0EEFgvnjo64vvJnpdnpUVXaKFsSRatobVP42JH6NpTklwAA3GLukk4olcgQa+3PrPJny4hQSm8TAWWoVJIfDKX02mUB/ccBAK4a1xtvfXYCFw/vhQ/21MkzvrSUVXme0GOzpzaytVjMkNPb4TJWu2ky9FrrREXTn286F9WhSim7NXw9seFCSZ5NFdxYFY9LWQoGnZ9pdcMfCFablscZOp6oeDOlToZ+BqpK4gd82tZkoGODzosUoVS0nTezCRMDSonjx4/j448/Vh3LHzbVoNWQEfr27au6/Oabbxq0EiKi7sVms2HSpElYvXq1fMzv92P16tWYOlX//7VTp05VXR8AVq5cGfX6XY0ylBKVA4V2i+pEX0hk971oJxPawdjRZt386NVtGP6zt/Fvf1gfUTGhPFl2aoIMUYXy7SkDsO7uGVh39wysnH8xzq0uh5bypCM840p9IvLv5w2Qd9pTbneebzNDnOcp267ECXJZvlX12ClPkJXVUsMrC9GnNHhiFa1SaP3ecMtQIABMfng1Pj/WqLqO3x9QVF45MLJK3R4Ub6aUVVMppZwpFa1Syu3zyzvmaU/g9O5b24ojTn7FfCC9KhQtvZN8sT5VKGVgpZR2971E7q8gFOppZ5TV6oRSohoMgKrqSvwM2WNUSsVqzXJGeX6CHxtRKeWMOKb83pTDzvVEC6WeuG4CPvnppThvcHCu0+lW/VldyteazxdAm9ureuwF7aBzpZ4pqhwS75N6oZTyMVG2H8uz9DQbPCh/MsryI0OpZNv3xGuwPN+WsrZZ8R7pD+j/gaMmFErFmycFhANqvfa9WO9b2s8VO6wRu9RmM4ZSlBL/+te/VJclewEcA8cZtBoywte+9jXV5fXr16Ours6g1RARdS/z58/Hn/70J/zlL3/Bzp07cfvtt6O1tRU333wzAODGG29UDUK/8847sWLFCjz22GPYtWsXfv7zn2PTpk2YN2+eUd9CSsmhVCAg7wrWryxPtzXCGqN9zxpn3o5LczKg95fqcf1KEAgEQ49Nh+qx6aB6Ry1lEKU9WRaDaIsSGLirPOmQK6UUFT9j+5bgoWvGyo+BcoivJEny5WbFyWv4RNCmCkmUJ47KSoVzqsuRZw3ej14odbS+DQdPt8FskvCTy4bLx/+0br/qemfaglVZkgT0LLSjQnOyFu9kUXviFnumVHC9Lk9yu+9Fa98Tj1Mi7XsiKCjTmZFTrAql0jhTKk41YKLD5ZWKHOrB+X5/AHXNLlWlVIsrGH4ogxFl1VR40LlepVS4giYQCOiGdrqbBmi+p0zSq5RSBj9i44L/fGkr5r20BZsP1Ue9rpLVbEJlsUN+HUfTqqqU8uOrUJVUscOCu2aPkFvfwpVS4a/34vcm49KRFbj3ylExv0aiwjPBlO996vl8wY/Du4c2tYtKKXUopbysF5wnG0CKUKpnYeqqgpXvV3qvPdG+Vxllvp6STRO4A+H3mnxb9NeA9ueoyGGR29y7QqUU2/coJbTzpPKGnAPJHPnXSuq+ZsyYgfz8fLS1BX/58Pv9ePPNN3HLLbcYvDIioq7vuuuuQ11dHRYuXIiamhpMmDABK1askIeZHz58GCbFie3555+Pl156Cffeey9++tOfYtiwYViyZAnGjBlj1LeQUnqVUnrbpwPqE35tYGGOO1NKs/ueJsywmiW8cfv5ONnswk3Pb8RXJ1siqoKUbV7aSqm60AlSoSORUCr8feSFTk6UlVIDe6i/f237X7HDimanV9VSJmZKleZZVRUH9iiVUudWl8kVWHrzkrYcbgAAjOlTjB9ePATvfFGLHccaI9rYRDjRo8AOq9kUMbfGFi+UEs+bTztTyhR19z23z59QG4zNEnumlGizTGTQuXiMygps8mMt1q6sCEln+56YvRR99z31TKlEFDksqGkKV9399J878MqnR+QB1oCiUup0OJSqaQwHN/Kgc52vqwxoPL4ALGYpYv3anyVlAJItM6VU7XuK1+Fbn52ICLF8capZ9KpAgWAbWiCgrqzx+QM4cCq4AcOo3sW445Kh2HTwDN7fXSdXRyqf74uG98JFmnlWnSFXSoWeY6/PD/H02XQqpVwen7wu7a6jBXYLVs2/CFazSTX/Sjy2iVZKnW5xYe1XdRAvjZ5FqWndA9SBrtvnj/j/xEm5UiqB9j2dSik5TLdF/xnVfs0CuyVulWQ2YaUUdVpDQwPef/991TG27uUeh8OByy+/XHXsH//4h0GrISLqfubNm4dDhw7B5XLhk08+wZQp4QHSa9asweLFi1XX/+Y3v4ndu3fD5XLh888/xxVXXJHhFaePHCb5Ajh6JlwppUdZhKI9AbYohsqeaGyP2KUoPOhc7EanPjFyWMywmE3oU5onh2KfH2/UvQ/lx+IEU5y4i8qTWJQBVF5oPcqgShtKaf+qLiqlrn76I/x1w0HsqmnCrhNNAIJtMcVRKqUG9woGDVazhPOH9JSrtPQqhb6qbQYQPBG2mk34/oXB7e2dmrkvJ+XKAbvqv0LcQeeaAb6qSilNVY086NzjU5zcdWSmlLp9L16llNvrl1uleihm4Vj0Zkqls1IqdN/Rd98LqK6XiKJQiNoUev2+8ukRAJCDEEC/fa+2ObJSKtZMKSAYNunNGNPO9FLPlMp8ZYj+TClFpZRmftHnxxpVz4n29aYVLZTSm4vk8flxrCEY1vcrC74v5Id+/mO176WKdqaUSxV4K9qQFZVSYtB5SX7k9zm0oggDexSojiU7U+qCR9/Hj1/djudCVZuprJRSvj71duAT7XtVCYVS4f+3CeK9RlSp6tEOOlf+v8qAjDZprJSiTlu2bBm83vBfwOx2O/IGTzJwRWSUa6+9Fm+88YZ8edWqVWhsbERJSYmBqyIiou5GZBbK9r3+ZfqVUkqRu+8F72j1zpN4bdNR3Dh1IH5xdbiazCm3nKh3vhNtWXbFX6ejzVq6+ncf4ZYLBmHBFaNULWDK2TKFSbfvWSKOaU/aRlQWqi4rq7Hu+9cXqs+VFlhVJ3fK7/eF707G58cb0bc0D5XFDnmQu14osycUSokt5MX9aKuKajWVA9pKqXhVO+EwMXjippwppbytSQpXjAVnSsWfzRKvfU+04sUadP73TUdwzxs75HUpZ+GI+8/UoPN4O3CJk+iOte/pz0cSn/P5A9iw/7R8TDlzSlS46O6+p3gO3V6/bvuRdtMA5es32TlDsRxraIfNbIq7U1us3feAyFBJu1mCO064EjWUKrBFzJlSVpD2DYX1+aHXvNy+l9ZQSh0YKZ8PdaVUKJTy+OT3w2jfp1Yic8eEk01O+ed1V03wPSqVoZQpFIZ7/QHdQFS8Zyp3D4zGqlPdJN63YoXpyvds8f+1cCiV/akUK6Wo05Q7rgHArFmzYLLp/7WSurerrroKNlv4Ddfj8US8PoiIiDrLrKj+OHImdvue8nw2sn0veFmc1L244ZD8OY/Pj1VfBneSUw8Zj2w/AYA+pfq/+3j9Afxx7X4EAoGIuURCUbLtezrthNpKsRvOG4ibp1Xjhe+eC0A/+KoosmNU72LMHddHtUOessIjz2bGudXl8vcXrpSKbN8Tu32JUEqcRGkDhNo4lVLJDjqPNlPKYTWHqzY8fsXA4OinQHqDzpXPXWmeGHQePURYsu2YHEgV2My4YFhP+XPihFH5GkgmEEqWeDy0VYCC2Kkt2fY9IHLQuVKzy4sbnvtYVUGkqpSSB19HnmibTJIcTLl9ft25Qdr2vXTsvvfHD/Zh2iPv4dxfrsIHe2LPSRWDznuX6P8c5SsCBb2B1+44a44W1pTpBB0eXyBcKRX6uRXhrGiTi9ci2xni+35jyzHUNbvk781skjQteHrte4m11dkTnCm142gjpj7yXsTxVIZSQPQwG0DUeVl6LPL96LTvxQjTlY+rWEtXqpRiKEWd9vzzz2PJkiX47ne/i/LyclxzzTVGL4kMUlxcjFmzZqmOsYWPiIhSTZyQtLt9OFofu31PeTKobQOKtevZnz88gN2hyh/lfejtggcAfUpi/0FOefLUsVBKUa1lixy83q9UHcpZzSbcP/csXDKyIurXeP8n0/H2nRdiTN8S9FKcpMWqohBVWu0enxx0NDs9OHS6VW7fGl4VrNJyhO5H274nwglRIZV0pVToedtT2wKfPyAHQBbN7nsOqzk8ENnnl4OLmDOldLZ3V54gillQbW4vdtU04byHV+OVjYflzwcCAXx2NNjC+Y/bp2Lrwstw9oCy8Np1KqXMaWzfi1cpJeZyJVOtJdZ+8HSrbjgJBNvZPt5/RnWsptGFdrdPFfJFe62J460un+7axRD08OXUz5T6WFHl9a9tx6JeTwx6B4BqRcWispKyRjHkfc6Y3hH3Ea/lMFqg0UMnlPL6/DgWel+UK6U0VTaxqgU7S9kK/PjKPfJsKe0wbrEGl9ePxii770WT6KDzv318SLd1tWdh6mZKAeFgWS9cFG2uiYVS4ZZyITzoPLHnTDw2li5UKcX2Peq0vLw8XH311bj66qvh9Xrh8/nw4P2rjF4WZUj1PctUl1v8Q1WXlyxdjtbWVhQUqNsKiIiIOkoEUDtPNMkDpKNVSg3sUYDbLh6CkjwrTJoQSm+Xt0AgAEmScOh0eD7O1RP6yB9Hq5rSVko5rCZV9YayskO7k1Zi7XuRVRd5NjN+ePFgeH0BDOgRu31R+zW+e361ahi6cgc8vR3RBBFuBQLBaphAIIBpj7wntyOV5lvlgEtuz9FUFdWHKtN6hE4M82xmFDkscuVNvN33lDsC/ufLWzTte8qZX6ZwxY3Xj3aPV/56Ue9bZ6aUMvAoU8yUuvv1z1DT5MQ9b+zA/5s8AABw8HQbmp1e2CwmjOtXCqvZpAperLozpdJYKRVnh0kR4CRTOTNzVCX+75PDeG3TEVwzsa/udcRzWZpvxcofX4xzf7kKp1pcGLVwBS4e3iscSkX5unaLCS2u2C2CLq9f0QKW+plSyt0E1+6pg98fiHgPAYAth+vh9PhRaLdgaEWh3LKo/N6uPbsfXvjoIC4c1hPj+0eOtYj2/AjR5s7phc1ef7hSqm+pfiilnUGXSpedVYWy/C9R3+bBySYn3L7gz482gBTvaR1p39POrYpGG4gLiX6dRInvzat57Xl9frnduziBryn+cCJ+LgOBgKLCM7FQSryHiU0ODBixljRWSlFKWSwW2O2pLYekriVv2BRACr+1BLwuvP322wauiIiIuhuxy9far4ItNWX51pjBzj1zRuL26UMijuuFAc2hE4hWV/BEYOFVo1XzmpRVNsrh42KmVPiyOqQSoY3ZJKFAM4Q8kUHn2rlWwoI5o3DfVaPj3l5ZbfLXWybjp1eot39Xzsyxxzj5cVjNKA6dCJ9scuLg6TbVfJyvje8DKXQyJLfvaU4c5VYdxawl5c5U8QKS0b2L5efu82NNqlBK1b5nM8s7gQFAfWvw68aqlBKBl7LaRnniG66U8sknm0qfHW2Q1yhODpXfj6jkUldKZWL3Pf2TdxHgJFMpNX1EL0zoXwqnxy8PjhaUO/ABwJBehehRYMOkgeFqsQ/21MlBX7xKqaYYLYLKoFc1UypFlVK1iuqmUy1ufHG8Sfd6S7cfBwBcNrpSVemjfO2N6VuCD//nEjx30zkY27c06bWYTRKKdN7j9MKVumaXHNL1Dr0vaa83tKIw4napUmi34OdfOwtA8OfE5dWvlBLvaU6PX35P0Bt0rsemmVsVjQiJtOGddiOIzorWvqdscS1OoCJW3n0v9J6mDFtjhenqtUiq++oKlVIMpYgopcx5xXAMGKc6xhY+IiJKJXHiK2YT9UtgyLkevYocsTNcayhwKLCrTwTyorTyVRY75L/8W0xSxJoaQyddDotJdbIKJN++15HWmzOKYcgXDusVEQZUFCVWKQUAvUOtiicanfKudNU98rHrwctVg+Ll3bU083/ETlvK7d9vv3gIzupTjMtGV2LigNKYX99hNePNeRcACLYRisAlon3PYlYFQnUtwec2VpWE3sml8qRaVJe1ub0RVREA8GUouBjXL1wNo1cppaya0D4+qRQ+MY1dKZXM7nuSJGHW6EoAwIdfnVJ9ThvODu5ZAJNJwuu3TcXHCy6Vj4uWpGivNXE8VqVUu2pnS0WlVAoGnTs9PrkKc3z/UgDAF5qdNYW3P68BAMyd0EdVfaj93vqV5cNuMWNwzwIUJBgwKE0I/VwUOSz4zxlDcdvFQzCsoijiej96dRuA4M+0CH7E9yDo3S6VRPDe5vFFbdUU75cur3KmVKKVUokNOhcBZbEm+M+zpTYGsSpmoCmJCrACmzluBajyfkT7nvI1HitM17sPuVIqThVeNujQs/H000+juroaDocDU6ZMwcaNGxO63SuvvAJJkjhziKibyx9xvuryW2+9BafTGeXaREREyRnUS12N0b+8Yxus6FVKiYHFraFZOdq/qCtPmuyqsMGExTdPxo9nDsdfvjc54uRKnJzYFcO3g7eT4oZAgLp9ryOVNfHm7PRSzHXS2exMpTI0zLmmySlXQeXbLBFhmVhzu8enmv/T2BY5P+baSf2w7L8uxLM3npNQ6CbCwXa3D+KcK6J9z2pSPbanQqFUrDYavZlSInizW0zyyXary6ea+yKIyp6eUWZ0ieeusyFjoixxZ0oFjye7G5sYZq+tZHJYzKqT58G9ghU5kiSpnm9xohzttS9XSrXHqpRSBoepnSlVE2rdy7eZ0T/ULqy346LPH5B33hvXtyRmKCWYTBLG9E1+Z+oXvnsuVs2/COvvmYH/vmwE7pkzMubzNmVwD/nj0b2LVZ/TG7aeSvKGCC5veKdFszaUCldKnW4NPoY9ChJbV6IzpcTPqDb4T/XPnHjf0QaiTc7k2hKtmp1FxWvOZjEl/L4vV0rFad3NJkmHUq+++irmz5+P+++/H1u2bMH48eMxe/ZsnDx5MubtDh48iJ/85Ce48MILO7xYIuoa8odNBRB+42xpacHKlSuNWxAREXUrvQrtqna9/h2slNL7JV8MLBaVHNq2wDJFy5n2xOa8wT1w58xhmDa0Z8QOb+LkxGFRByWFdovc7haL8mt1pNnrfy4fidJ8K+6fq9/qp2wtEQFaNL1DrXY1ikopbfUXEGyfA4Ihl7KCIFwp1fFhwyL4ULbQWUwmVTWCw2qGJIV3chPVGNqqCSW54sGrnCkVqpSymuXKuVa3VzV3ShAn4Mph7crnW3mLp/7fBNw1ewRGaQKDVFLuVKnHo6gyS8aISv1KG4tZQqHitTREESDrDbCPFqqI4DZWpZQzWqVUAkN0jje0Y+vhevnfF8cbVTsUinlSVSUOOWDRC6WUr78Cu0VVAaW3s6CgrKRLlMVswtCKIlW7b/THz4Snrpuguq1SIu85nZEn79KpbN9TPx7yhhUen/z8lSc4gFzcV7xKKRHGat/H09e+p37tiffSROZJAeGKRdG+1y7/cSTxEM0WemxM3TmUevzxx3Hrrbfi5ptvxujRo/HMM88gPz8fzz//fNTb+Hw+3HDDDXjggQcwePDgTi2YsoPL5cL111+Pl19+Gc3NzUYvh7KMubAM9n7qX3oTragkIiKKR5IkVPcMB1HRdt6LRzv/BgjPkREnm9qTgdIC/ZkxWtrAakdoRzaHplKqMIHWPUB9Qq83bDmeMX1LsPW+Wbh52iDdzytPUuOFUlWKSqlo82IA9cwtpzt4PZfXJwd+ic6P0aPXymI2S7AqHhtxHe3atIPmlfTa90SYVWS3KNr3fLoVOSJ8U4YFyo/9ioqxqyf0xR2XqDeISbX4g87FTKnkTgv7leVFPAcWk4QfzxqOkVVF8mVl25jZJEUEwfFnSgUf+3ybGQ987Sw8eu1Yef6ZOpRKfKbU3pMtmPboe/j679fL/6783w/x+Mo98nVqmoKDwnuXOOTvUzuwHwi3+YqKx0QqpQDgmol9MayiELPPCrZBPvz1sTHXHE20+WujehdHvE/8+3nBYfzTR/Tq0NdKhnKXTneU9j3t7Dqb2ZRwW6NdrpSK3foqfka177OJtsIlSnxv2vcEUemXaChl1ey+1+6Ov2NotPuIVyWZTZKKCN1uNzZv3owFCxbIx0wmE2bOnIkNGzZEvd0vfvELVFRU4JZbbsG6des6vlrKGu+++y5eeeUVvPLKK3A4HLjqqqvw8ssvw2Lhho4UlD/ifPjaGlAw6iJ88uf7MWLECKOXRERE3cgVY3vji+NNKLRZcP7Qnh26jzF9S7DmJ9NxutWFpdtPYPH6g9iw7zT6lObhVKhiqiCJSikl7ed+9/5e+bgyzCqyJx/MdLTIIdHqiIRDqcZwKKX3WFjNwRDC5w/A6fWhBFb5vk0SdAc3J8qhMxPGLEkRlVJA6ITRFb5erBNEq86sGjmgKA1Xzfj8ATmQUHLrDPBWBgfxWiNTzRy3fU+0ViX3ojKZJAyvLMT2UNh6z5yRuGHKABQ5rPjTjefgi+ON6FOapxpgDwRfE8qALFqoIo6Lk/qqYgduOr8aAPCndQdUw7wBdRtXvPa9/XUtCASCX6OyxI5Wlw9nWt3YUxv+Q7tcKVWcJ1f86VVKhWfPBSse7VHCSK2z+pRg5fyL5fvQvs8kKlallNbCq87C2L4lmDW6qkNfKxly+5473L6nXZO2mrSswJrwe5RN5+dUjwhdtZVSqQ6l4s2UilWdqWTRVFyJ11wi6+1VZEddswuXhea9iZ99v+ZNx+Pzw+cPpLVtOFlJvfpPnToFn8+HyspK1fHKykrs2rVL9zYffvgh/vznP2Pbtm0Jfx2XywWXK/x/jqYm/Z0OyDivvfaa/LHT6URtbS0DKVIpOvsqFE36GiRJYiBFREQp9x/Th+J70waF5gh1fGhtdc8CVPcswNbDDQCA93fX4f3ddfLntSeLyllRjhjtOdF+4b95WrWq5SfRSiklqUMNfPH9+3kD8LePD+POmcNiXk8ZSjk90QdWS5IEh8WEVrdPvp4Y+F6SZ+1QxZdgM5tgkgBl1qLdfU+Ef8q1SRJQGKN1R2+m1PGGcEChbPvRC3rEyaTdrPya4TX5M1y1YE5TpRQQbFcVodTo3sVyW5nDasakgeW6t7GZTXKYFHy+ooQqVnWllDJ8EWFGtEqpeKGUCA4mDCjFaz+cin9uPYofv7pdFTrVyu17dvn9JVb7npg1ZlO1bSZ20t/RQAqIX2mmPXbduQM6/LWSIUIpp8evmoukWo/ZBEkKB7XlCc6TAsLvr+2eOO17UWZKJbqTXaJEVVJEpVSSM6XC1U3B+2kLte8lst43503D+r2nMXd8HwCKQFrRUuj1+XH5k2sRCADL77wwa4KptKYIzc3N+M53voM//elP6Nkz8b9gLVq0CA888EAaV0ad4XQ68a9//Ut17Fvf+pZBq6FsJZmy402OiIi6r1T+Qn31hL74/FgjvjzRhD21LfJxbTtJqapSKlb7XuTnzhlYhm+e0x8vfXJYPpbINuFanchyYnrw6jG4+/KRcf+q31u3fU//uXBYzWh1++QTU3meVH7H50kBwaAnL3TfgsUkYVCPcEvmkNCQbeXJcJHdEjMM02vfO9EYrJTqU+qA2RT8unoBBaCYKWXR/xqZ7qRRhlKBQCCiEiW8+17yL6q7Zo/AnLG9UWg3Y2iCu7lFqyCLuJ5Z7L4XPClXtnqJMFhZ0aesmPF4Yz/I4nsWYaWoQmlXvJZaXMGPixxWOQIWrVRKrS717DllyJbs8PiOiDeTyyjK8Fbe5EGzVlFZJs+TKki8alSETLFmjgHh0FU5h0u7IUIqRGvfC8+USq5NW9yPeH0lUinVuyQP107qJ182S5GVUscbnNhX1woAWLunDpedlf6quUQk9X/Bnj17wmw2o7a2VnW8trYWVVWR39C+fftw8OBBzJ07Vz7mF8P0LBbs3r0bQ4YMibjdggULMH/+fPlyU1MT+vfvn8xSKY1WrFihmiMlSRKuvfZaA1dERERE1Dm9iux48v9NxJKtx+Qt1QEgP6J9T1EpFat9T+ekUNzXudVlKMu3otnpxSUjKxJe43Xn9MfqXbX41jnp+b1YkqSE2kzEznJnWt0xK6UA9Q5bQHg+U6KVA7Hk2cKhlCQFW8ouH1OFZf91AVxePyb0Kw2tLfxcxJvtEm7DCZ/I1SiGXgPBypZ4oZTNrP/a0LbSpJsybPL5A6pKMiBckdGRAMViNmGCYmZUImwJhjYihGrSCTRE1ciPXt2Gs/oUY1hlkTynDEigUkozjD7PFp4TJohZRQ6LSQ4xnbEqpUID8HsoBnV3ZJfMZEUL9hLZ0TOdHNZwFVRDaLdNvaDMYTUrQqnEK6XE+0e8VmPx+la27+WFNkBIJTlM8uoPOk+4Ukqu1AzejwjEtW2widCrkjxS3yZ//NqmIyjNt8FsQtTKxkxJKpSy2WyYNGkSVq9ejWuuuQZAMGRavXo15s2bF3H9kSNHYseOHapj9957L5qbm/HUU09FDZrsdjvs9vRuU0kdp2zdA4CLLroIvXv3Nmg1RERERKlTXqCu4MnXBE9lBYlWSumEUqFjwyqLsPneWQgguRPXR/9tHHz+QEZOdmNRnvCKk/JoAZ221UqcoJZ2Ysh5eB3hrymqAiRJwll91DubKcOPeKGbXqWUaN/rUxIcqF9gN+NUS+RtAcClM+hcKZDhUEr5WvH6A9DmAnL7nikzIYbycYkVnERUSimuO3NUJdZ9dQoAsOlQPap7FuBks1P+fLxB5yJwFF9DHmSus5uf3WqWH8N4M6WAYHXewqtGq8KpdIr2GBodSkmShPxQJWN96Gde72ciGN4Hg5vyJN4TRMjT7PTGfE/UmymV6tY9IDxcXPnaO9PqlndzTXSmlHj/EW2HxxqCoVTfDmzmoRdKHT4TDqVW7TyJVTtPoshuwY4HZid9/6mUdL3w/PnzcdNNN+Gcc87B5MmT8eSTT6K1tRU333wzAODGG29E3759sWjRIjgcDowZM0Z1+9LSUgCIOE5dQ0tLC1v3iIiIqNtShlL5NnNEq5dyplSs9iO9wCrfHj4Z6ug8JaMDKUC9E6Bon4lXKSVO6EXlQGmKKqWEWI+Lcm3x2mhslsjZMKJaQa6UijGTyhNlpzHBl/FKKf2d/wS5fS/F7UzRKF87sSoNtTOllNe96fxq7Kppwssbj+Bkkws1jU5VW2TClVKh5yg8lDuyUspuMYVnSunsvidCWWXo8b0L9He4TIdkZkplWp7NEgqlQnPBdN4vlZs+dKRSCghW05UV6IeAervvpXrIORAZZv929Vd4TLGbY6KVUvLue6EX9LH6UChV2olQSvFzf0QRSg3uFWx1jvV+lilJr+C6665DXV0dFi5ciJqaGkyYMAErVqyQh58fPnwYpgwl7ZR5S5YsQVtb+MVsNpvZukcJ+eqrr/DKK6/g9ddfx+rVq5OaM0dERJQp6lAq8ldl5SykWBUZeic++Wn4C70RbKpQSsz80f/9XzwOLrlSKjUzpZT3DcSeidShSqlQcOH0hE+qlZVS0bjl3ez0Hw+jZkoB+oPZvZqqoXRLtlJKr30PAHqFWkhPNjtVLUlAuDomGo/mOcrT2V1PuaukLYFB59rd3TIl2uwooyulgPD7ndjcQO89QtnmnMxMKavZhHybGW1uHxpjhFLi9V2c5lDKpgml3vrsBIBgW3FlkQOTByXWHidCZPEaPt7Y+VBKOehcVEr97IpRuPWiwUnfZ7p06Kdn3rx5uu16ALBmzZqYt128eHFHviRlib/97W+qy5dddlnEboxESoFAABdddBHWrVsnH3vjjTfwgx/8wMBVERER6VOGUnqtVsqTar3Bx4Ju+14W/EU6FUwmCRaTBK8/oGivij7oHFDMlGoPtvLEm+2UCOXJZaxKKVUoleRMqROheVJ5VrNcZaX3PIoWInmmVJRB50a27/l0wppsr5QSM8O0r69eoRk7dc0uuZpkQHk+Dp9pkwPFaLTPkd6gc5diVppDp71P0LbvZVpZgVW1g52QDZVSIpQSQYhecOfoYKUUEKw+EqFUNOGZUopZgGlp3wuHSS0uL/acDM5f/mTBpahIYh6U+DmU2/fqO9++p6yQPBK6v/7lyd9fOhn/aqUuw9dSj5UrV6qO/fu//7tBq6GuQpKkiODy5ZdfNmg1REREsSlPlF1xTm6jDbsG9CsVukulFBA+6W1xiplS0dr31FUmokVKu6thRzg60r6X5EypA6HhUQN75MvDkfVOrsX14w06nzKoR8yvn2rKh0WvUiq8+152VUrZNZVb2iqbcKWUC0dDJ9qDegbbkeLNlNJWSomfS7fPL4cBykop8Z7QptO+15oFlVKVRZGhh9G77wGRodS4fiUR1zl7YBmA4PuE3udjSWTYuTxTSlEplY781apo+/3saAMCgWB1UzKBFKCYKeUPoM3tlas0OxRKSepWQCDcvte/PD/p+0snhlKUsNadH8i7JwJAQUEBrr76agNXRF3F9ddfr7r8wQcf4NixYwathoiIKDFirkw0Y/tGP4nSq4fpTqGUOHlqkmdKxauU8qn+m4phw3mKoMIcI1SxqXbfizNTShNK7TsZ3D59SEWhfB2951EEIZ4og87X3X0Jfvftifja+D4xv36qSZIktzb69Nr3QseiVXalmi3BSqk8TTWaNsCqKA6GUnU6oZR4Dvz+AG59cRPufn276rbiuRKvYeU62jWvU7vFFK6k0m3fC4WsBoVSANCnVC+UMv40X1tROHFAWcR1Fl41Gp/89FJsvndW0kFJYqFU5O57phTvvAeEX0srPq/Br9/ZDQBJ70wJhNuQ69vceHbtfgBAkcOS8KB01X2F0jd/6Gf8wKlWnGl1w2ySMLBHQdL3l07Gv1qpy2j94n3V5W984xsoKMiuFzRlpyuuuALFxcXy5UAggJdeesnAFREREcUXbTbNqvkX4df/Ng5zxlRFva1eVUp3ad8DwqGL3u5oStr2PfHfWIFEohKdKVWm2NWrQqeqRMmqGXS+P1QpNaRn+HdevQBCtIy5oww671+ej6vG9enwgPvOkGfL+CMriLxZuvveVeN64+wBpQCCc3m0gYaolDrW0I5/bDkKIBxK+QPBAO6rky1Y+WUtXtt0VDX8XPsc2S0muaJMtPCJSim7xSwHqM6YlVLGBc5iAL9SNrTvKYPnPiUOVOpUDUmShMpiR4dCvURCKfH6VgbJacik0DP0etxV04ythxsAIOE5UkricWho8+DJVV8BCLaldoRJUym1fEdwztX5Q3oYVtkXTXathrKW+9RhuGv3qY6xdY8S5XA4cO211+KFF16Qjy1evBg/+clP5FJ4IiKirmJoRRGGVhTFvE6VzglYd6qUEhUv8u57CbbviZP+VAwbTnT3vdsuHoJCuwV5VjO+NiF2pZJyNkwgENCtlNIbdC6qb1xyFU72/H5jMUlwAdDJpOR1Z26mVPjrxAom+5fn443/mIbTLS6YTVLEYPxeRZHzh8YoKhfdXj/a3F75cpvbh5I8dRWceK4lSUKe1YxWty+iUsphjV0p1eo2dqYUAN2wJxsqpZQtunpVUp2VUKWUP/L1LSH1r/Ubpw5ESZ5VDimL86z4+sS+Sd/PsIpC/NeModhbFwzDJUnCtycP6NCaRNAsKqXE8PWrxvXu0P2lE0MpSkjrl2tUl6uqqnDppZcasxjqkr773e+qQqkvv/wSmzZtwrnnnmvgqoiIiNJjRFURfvPN8Xhxw0F8drQRQPeslBK7j0Vr39Puvtcun+ynYKZUgoPO+5Tm4e7LRyZ0n8pB3C6vH9uONAAAhvRShlJ6lVLBECtapZSRYldKxd4tMNWUrZSJBCc9CvWHX2tfP3+9ZbKqndbt88uvTQBoc3vlEEPvOcqzWdDq9slzo1SVUqGv5fUH4PH5Va8RUSloZCilF4DbsmCmlLIF89zq9IVSTVFCKZ8/IA+AtyoqAdPx9/AihxX/ft7ATt+PJEmYf9mIFKwIEN+y1x98b9pd0wQAuGBYr5Tcfyplz7slZTX38V2qy9/+9rdhjjLAkUjPBRdcgMGD1VuPcjdOIiLKRuIkT68aIxn/NqkfZoyskC93p0opUfEiuhSjDzoPfs9fHG9CIBAIz5TKYPteMpThzJSHV8uVRIOU7Xs64aLb51e1bNqz6Pdkc6yZUqJ9L1OhlOLr2FPwGgCCA7QvHNZLVYXl8fnlIdEA0OryKT4XiFhLnk1d0RcedG5SVeRpq6VEZUyRkaGUTvteNlRK2RTPx3lDUj/gP16llLJlU1UplT1FjGklV0oFAnD7/PJ7dZEj+/44kn0roqxUcd0v4T6+C98oPoBXX32VrXuUlOp7lgEAGvpMBfbvl48/8/yLeCtvJiRLsCT74CNXGrI+IiIipRdvmYzH3t2NOy8d3un7UlYQ6bV9dVVW7e5ocQadf7j3FJ7/6KBi0HnnT5rzEqyUSobDakKh3YIWl1c+2Z19VqWqEkZ30LnXL1fgANlWKRXe0UvLneF2Q+VA9WhBZqLuuGQIXv30CJ68bgKAYJWJ1SzB4wvgt6u/woHTbfJ1la18epVS+dbg89vu9sHj88sBnt1ihtUswWyS4PMH4HT7VEOnRShlZKXU1MGRgU82vP5ECxoADI/T7twRJaFZcTVNTt3PK0Mp7ftVLjArKqXaFfPQ8lMUBqdS7j071CGSJMHedxSefvppHD9+HBMmTDB6SdQFFY6Zobrsd7agbe9Gg1ZDRESkb3hlEf74nXMwuk9x/CvHoaxYyLN2n78Ha096o1VmzBxVKX/85fGmlLbvJTpTKhmSJGFIr3BV1MQBpfjjd85RXWdwr8iNfjw+dSiVbTOlgNi772XqpF1VKdXJFrO7Zo/Epz+bicGK1kpRPfOXDYewdk+dfFzZyqfdfQ8AHKHXUrvbJ1dJAcFZaWLmFBBZKdWcBaFURbED6+6+BLddPEQ+lg2VUqLl1WqW0jLgXzzXa3bX4YmVeyI+71VsVKF8rtOx+142EmG0zx+Q21JtZlPGqiKTkX0roqxns9k4nJo6xFJSCfuAcapjrTtWGbQaIiKi9FMOAO9e7XuJVUqNqCrCg9eMAQC0uDzyX+xTEUrZ01ApBajnR42sigwmzx5Qhrf+8wL89ZbJ6B1qnfL4/HJlhknKXDtcIsRj4/apZ0r5/QE5qEpV+2M8qiCok5VSACLOSZ68biJunlYd0U7Xpmjf06+UCr6W2jw+uZoPCIc7Dp1QqtXllWdKVRZ3rtW3s/qX56vajbOhUurOS4fh9ulD8M6PLkrL/U8aGJ5TtWTbsYjPiyHnkqR+f8iV01izFA6j2xWD+7NRdq6KiLqtwrHqAfntB7bA23LGoNUQERGllzKsye9G7XvaSoxYJzuFoe+71eWD0xM8UczWmVKAeqe9oYqPBUmSMKZvcI6RmM/i9vrlCptsCASU+pQGg7P9da2q4x7F4HNrhtasfGw6Wyml54JhPXH/3LMwrFL9vLUq2vc8Oi2LourOqaiUsllMcuglz5xStEGdaGwHEJwnVaRo6TOK8mcgHY9tsnoU2vE/l49UVbKlUr+yfGy+dyYA4NDptojZUmJ2mHLIOQAU2Y1/rjLBbFaEUqHXbbZutpFd75hE1O3lD58GyZYXPhDwo/Xz94xbEBERUYZk6wlBRyRaKQUAhaGTwCanR67WSXUolYrKK0HZvqcXSimJx8Ht88vfW6Z2skvUuH6lAIDPjjaojqvam0yZWXOqK6Wi6V+er7rc5o6slFK11oZCqTa3V66UcqhabyMrpY43BGcZ9SlV/F5rIOUwb3uWVsSkWo9CO/qVBR//L443qj4ndpYUj8uvrh2HkVVF+NmVozK7SIPoVUrlZWm1bm68WqlDAl79nQyIOsNkcyB/xAWqYy3bVyAQiNymmIiIqKvzK+b4pCKIyRba4CXWSbAY8H6q2SUfS0WIpGyHvHFqdafvT1BWdgzRmR+lJEIWjy+g2xaWDcb3LwUAbD+qPmmPtjtZOqW7UkoQQYXQ6tKrlNILnfxwhar5lO2h4vNOVSgVrJTqXRq5+50RlJVS2RaMptOYPiUAgLV7TuHgqVYEAsH3XFEpJR6Xb53bHyt+dFFEYNldybtuBsIzpbL1/0Hd5881lHL17z8H59GdKBw3CwVnXQKzIz2ll5R7CsddhtYdK4MXJBNsFYPhd7bGvhEREVEXpNzxLJVzj4ymbfeKNVhZtMvUtYRDqVQMYp4yuByXjqzAhcN64spxvTt9f8LgngUYUVkEu9WEPiWxq2BEyKKcKZVtgcD4fsGT9p3Hm/CrFbvk48rqoUzNlLJlqlKqLHqllGjPU4ZS+fKgcy9c3sj5OyJEVd7P8cYsq5QyZeaxzTZj+5VgxRc1eOaDfXjmg324a/YI3HHJUHj92RkSZ4r4/00gALSFQtlsrZRiKEW6/B4nWr9YA7+rFfWr/oj6959Hz6v+G8CVRi+NugF735HIG3wObH1HonDsLFiKIreyJSIi6g58gcgdz7oDbfASq/JJVEqJygWH1ZSS3bjybRb8+bvndvp+tCxmE5bfeSEkIO46xePg9vqztlJqQHk+ehbacKrFjd+v2Rfx+WKHJWObGGWqUkpbDaNXKWWL0p4n5p4p19ezMDhE/GRTOFg9EaqU6lOSJZVSZmWlVHaGD+lw1bje+OfWYzjR0I5Wtw9bDzcACLenWjLUmpptlH8EEbtEZutmGwylSFfrl2vhdykqV3we2HsPM25B1K1IkoSKb/7c6GUQERGl3bA4M4m6KptFHWLEqg4qdKhPObK1hUQp0ao2MSzb7cveUEqSJPz2+rOx8sta3c9fNLxnxtaSqZlSVZqgSD3oPBCxlvBMKZ9cKaWs5hMh1+EzbfKx46FB59lYKZUrM6UAYGCPAqyafzHe3nECt//fFpxpDQaHbs1MqVyjfA9rCe0SmcrZe6nEUIoiBAIBtGxdpjrmGDQJlpJKg1ZERERE1DWdN7gHnrhuPIb2KjJ6KSmlDKFs5tiVT4V29SlHtp4YdUR4ppQfLp0KnGwxdUgPTB1ifGV6piqlBpbnY0ivAuwL7TjY5oo96Fy8RpudXrlSSvk6HaATSp0IDTrvHafFM1OUxW7Z1kKaCT1C1WxnWt0AwpVS2k0ZcoWyJbclyyulcvMZopjcx3fDXasu7S06m217RERERB3x9Yn9MDY016e7UJ7oxZsPlWc1Q5lZdYVKqUSJkMXt9cOjM6uI1JShVDorpSxmE9750UX4+dzRALSVUpHPU6+iYKBR1+zSrZTSC6Ua24ObQpUX2NLxLSTNp5hfl0uVUoJ4Hk7LoVSoUqobzfJLhkmKDKWy9b2XlVIUoVlTJWUuqUTe4EkGrYaIiIiIso0yXMi3xz7RkSQJBXYLmrO8haQjbIpKKXeWDjrPJjZFK1U6K6WAYDBVkh8cst/m9uFf245hYI8C3TbLXqEqm7oWl7z7nl6l1JEzbfD7AzCZpKxrD/Mr5tfl4muwRyiUanZ6gyGxn5VSgnjvzdZB57n5DFFUvtYGtO5apzpWNGEOJFN2voCpe2ltbcWbb75p9DKIiLLKmTNncMMNN6C4uBilpaW45ZZb0NLSEvM206dPhyRJqn+33XZbhlZMuUB5olfksMa9fpGihS9bT4w6Ity+F8jamVLZJFOVUkK+Lfi6W/fVKdz5yjZc8/RHcphkVYRJFcVikLlTt1Kqd6kDZpMEl9ePk83BmUVye1iWDNJWVkpZcjCIKcmzynOU6tvcisrF7AgNM82k076XrZVSufdqpZhaPnsX8IXLW2G2onDcLOMWRDnB23QK9WsWo3///rj66quxc+dOo5dERJQ1brjhBnzxxRdYuXIl3nrrLaxduxY/+MEP4t7u1ltvxYkTJ+R/v/rVrzKwWsoVynChyBG/+UI57Lw7bVcvHgeXYve9eO2MuUw96Dz9J8gFtsjXpku3Uio4GL3J6UVTqKpE+TxazSb0KQ1eR7Twef2h0MOSHaGHMpTKRSaThLJQZdzpFrf8/ORiQCeIaqlWzpSiriLg96F569uqYwWjLoQ5v3vNQKDsEvD7UPPij9H0yeuor68HADz55JPGLoqIKEvs3LkTK1aswHPPPYcpU6bgggsuwG9/+1u88sorOH78eMzb5ufno6qqSv5XXFycoVVTLrAlWSlVoKyUytK/1neEctC53qwiUktmFlkqxGotVb6Gi/Msckh1tD4YOmlDsz6hgeYnGtsRCATkXfwsWVgplavEXKkzrW7F85MdoaERRLVUtu++lx0/QZQV2nZ9CF9znepY0UQOOKf0kkxmFGiq8V588UWcOnXKoBUREWWPDRs2oLS0FOecc458bObMmTCZTPjkk09i3vb//u//0LNnT4wZMwYLFixAW1tbzOsTJSPpSim7slIqO0+MOkJUyXi8ft0KHFJTDl+2Z+B1oN35UUn5PEmSJM+VOnKmHUBkaFaWHww8mto9qgAoW9rDulNbbEeFh527wpVsORwSi0CuWa6Uys6R4rn7DJFKIBBA08Y3VMdsvUfA1nu4QSuiXFI08UrAFH6TdDqd+OP/b+/O46Iq9z+Af2ZYZkAYEEQWRZBwywUUhaBrWlBoXgu3yCyxRauflKZ5g3tzv11NLZfyZmWFdi29lssrNRMRNZW4iqK4kRKKGYMLsisDzPP7wxgZ2YZtzsB83q/XvF7Mc55zzvc858yZM1+e85xPP5UwIiIi06BWq9GxY0e9MktLSzg5OUGtVtc633PPPYf//Oc/SExMRGxsLL7++ms8//zzda6rtLQUBQUFei+i2lT9oacy46QUBzpvmKqDcRujp1RlIqkm9ycrKseVOnTx7j9G7z9OHf+8NexWSRnKTXD8pif7uiOsV0fEDu8pdSiScW53dx9W7SllKklDKVj8mQQuKr37pEgba9M4Vu9nmlGR0R04cACanAy9MlXgKMhk5vshJuOxtHdGu16D9co+/vhjlJaWShQREVHLiomJqTYQ+f2v8+fPN3r5U6ZMQXh4OPr27YsJEyZg/fr12Lp1KzIyMmqdZ9GiRXBwcNC9PD09G71+avv0e0rVf/ueXRu9fa8yAaWp0HKgcwMYOynlYq/Aikh/vPyXrnrlMln127oqe0pV6uWuf8uz458JrrySMl0CEjCd28OsLORYGzUIrw55QOpQJFPZU2rtz5nIL7mbiDGVpKEULCz0b9+zsTLNnlKmGRUZ3bJly/TeWzq4wrZ7sETRkDmyH/g0is8k6t6r1Wps2rQJEydOlDAqIqKWMXPmTEyaNKnOOj4+PnBzc8O1a9f0ysvLy5Gbmws3NzeD1xcUFAQAuHjxIh54oOYfLLGxsZgxY4bufUFBARNTVKuqvQ/qukWqUru2+vS9PxMr+85fg8Ly7naZ8+1C9VHcd8ucMUT074SI/p1w+WYJ9p7LAXB3H92//pyCO7q/t099GH6ejnrTK3tK5d3W6J68V7ksMg2uf/Z2u5p3G6v3XwTAnlIAUHjHtAc6Z1KKcP78eezcuVOvzH5QBGRy0zxoqW1SuPliyJAhOHDggK5s2bJleP755yE3kQEkiYiai4uLC1xcXOqtFxwcjLy8PKSkpCAgIAAAsG/fPmi1Wl2iyRCpqakAAHd391rrKBQKKBSKWqcTVaVo4JhSfp73HpzT26PtDLrv7nD3iWw5Bfd6d1c+pY2q6+/ZHiP6uaOrczujr9u53b1b+RQ1JJJG+nng5O/58Pd0rJaQAqB7slteSRnK/+wpJZcBFibSU4qAcQM9sWzPrwDu7ifAdAail0LlsVl5u6mp/kOASSlCt27d8P3332P8G3+H5o90yJV2sOv7eP0zEjWzs86DAdxLSqWlpcFt3DzYdrv3w+vSYg6+T0Tmo1evXhg2bBgmT56MNWvWoKysDNHR0Xj22Wfh4eEBALh69SpCQ0Oxfv16BAYGIiMjA9988w2efPJJODs749SpU3jrrbfwyCOPoF+/fhJvEbUVVg18+t6o/p0R1NUZMhng/udTzNqCEX3doVJa4VaJBsDdgYQf7Vl/wtlcyeUyrH5ugCTrdra7l5SyquHWwecf8kJHlRJhvTpWmwYADjaVt+9pUPbnj3xzvjXMFLmqlPh84kBMXn9MV2bOPdnuT5ia6q3TTEoRLCwsMHr0aLj/T4E7v59DRcE1yK35Hx4yPhvfQFg5d0HZzSxdWX7SJtj4BnJ8MyIyWxs2bEB0dDRCQ0Mhl8sxZswYrFq1Sje9rKwM6enpuqfrWVtbY+/evVixYgWKi4vh6emJMWPG4N1335VqE6gNaujT9wDAw7HtJKMqWVrI8WjPmpMYZFqcqvSUqmkweqWVBZ7y86h1fscaekpZsZeUyel033nGnG/fu3+wfkPP1cZmmlGRZJSdewHoJXUYZKZkMjlUweNwc8cHujJN9q+4c/kkbLz9pQuMiEhCTk5O+Oabb2qd7u3tDVFl8GBPT0+9W6GJWoJ+Tyn+pCDTp99TquGJison+eXdLtM92Y09pUzP/UkpSzNOSr0zrAe+S/kdQgAPeqjQxclW6pBqxG8QIjIp7Xo9gvxDG1Ced+9R5/lJm5iUIiIiMiFVe0qpDLh9j0hqzu3ujZlXU0+p+tzrKaXRPWnRnHvhmCqVjSXsFJYoKr07uLc5jyk1rI87hvWpfSxJU2G+e4iITJJMbgFV0Fi9stKsNNz5/axEEREREdH9rNlTilqZPp0c0OHP3lLBDzg3eH4Hm7tJKa24m5gCzDvhYapkMpnewwaYODR9/BSZKY1Go9fVn8iU2PUJhYWd/sVC/uFvJYqGiIiI7ievMtajnYJJKTJ9Tu2skRQbipNzn8A/I/o2eH6llYVuoOgrt+6O4deY2wCp5VW9hc+cBzpvLRr1DbJ69WosXboUarUafn5++OijjxAYGFhj3c8//xzr16/H6dOnAQABAQH417/+VWt9an7eMTurleUmfA5N9q9wCHkWyq4DOIg0mRSZpRVUgaNxa9/n98qsFNCWldYxl76ajvv78Ul+REREjVNaXqH725Cn7xGZAisLORxsGp+k0P75T/13vk+7uzz2lDJJndrfS0opLE3ziXN0T4M/RZs2bcKMGTMwd+5cHD9+HH5+fggPD8e1a9dqrL9//36MHz8eiYmJSEpKgqenJ5544glcvXq1ycFT45QXXEfhiV0ovXoO1zbPhfrrt6HJ+U3qsIj02PmHw8LOCUqvfnB74QN0HP0u5FaK+mckIiKiFtdRde/2mKrjSxG1Zd1d7fXem/Mg2qbsuUAvPOzrjEe6u2Ckn+mPqWTuGtxT6sMPP8TkyZPx4osvAgDWrFmDnTt34ssvv0RMTEy1+hs2bNB7v3btWnz//fdISEjAxIkTGxk2NUXeoQ1ARZnuvSbnImQK0xyJn8yX3EoJ96iVsLBrL3UoREREdJ9Ojjb4atIg3eDPRObgnWE98fwXybr3HFPKND3oocKGVx6SOgwyUIM+RRqNBikpKQgLC7u3ALkcYWFhSEpKMmgZJSUlKCsrg5OTU611SktLUVBQoPei5qG5fhnFp/fpldn5DYOVo5tEERHVjgkpIiIi0/Voz47o34Xf1WQ+/tKtAwK73vsdy0G0iZquQUmpGzduoKKiAq6urnrlrq6uUKvVtcyl75133oGHh4deYut+ixYtgoODg+7l6enZkDCpDnkH1wNCq3svs1LCMeRZCSMiIiIiIiJqHRRVble15CDaRE1m1E/R4sWLsXHjRmzduhVKpbLWerGxscjPz9e9rly5YsQo2647v5/B7YvJemWqQaPYG4WIiIiIiMgAVQfOZk8poqZr0JhSHTp0gIWFBXJycvTKc3Jy4OZW9+1fy5Ytw+LFi7F3717069evzroKhQIKBQc0bk5CW4Fbez/TK5PbOkAVOEqiiIgap7y8HJ999hlKSkrw9ttvSx0OEREREZkRhdW9fh1W7ClF1GQNSkpZW1sjICAACQkJiIiIAABotVokJCQgOjq61vmWLFmC9957Dz/99BMGDhzYpICpcYpOxUOTk6FX5hDyLOQc4JxakduXT8LWfSrKblyGzNIaKzKcYOngWv+MZsw7ZqdB9S4tHtHCkRARERG1fnq378nZU4qoqRqc2p0xYwY+//xzrFu3DufOncPrr7+O4uJi3dP4Jk6ciNjYWF39999/H7Nnz8aXX34Jb29vqNVqqNVqFBUVNd9WUJ0qbhfeHUuqCivnLrD3Hy5RREQNV15wHdc2zUbZjcsAAFGuwa3ELyWOioiIiIjMSdXb9zimFFHTNainFABERkbi+vXrmDNnDtRqNfz9/bF7927d4OdZWVmQV3k05ieffAKNRoOxY8fqLWfu3LmYN29e06Ing+Qf+g+0t/WfYNg+bApkFg3e/USSsVS5wH7ACBSm/KArK0k/jDuXT0HpVfctwUREREREzaFqTymOKUXUdI3KSkRHR9d6u97+/fv13l+6dKkxq6BmcuzYMRSe+FGvzLZ7CGy8/aUJiKgJHB5+DsVnD+glWW/uWQ2PFz+CzNJawsiIiIiIyBxwTCmi5sVPURtWVlaGl19+GRBaXZnM0hrtH3tFwqiIGs/Cxh6Og5/XKyvPvYq8I5skioiIiIiIzIne7Xty/pwmaip+itqwpUuX4tSpU3plquBnYOnQUaKIiJrOzi8c1u499MoKkr+D5volaQIiIiIiIrPB2/eImheTUm3Yo48+il69euneW7l4wyFojIQRETWdTG4B5+FvAPJ7/6WCtgI3f1wFoa2QLjAiIiIiavP0nr7HpBRRkzEp1YYFBwfjxIkTcAgZD5mlNZyHvwmZhZXUYRE1mbWLN1RB+g9P0GT/ioLk7yWKiIiIiIjMgcKKt+8RNSd+ito4hUIBx8ET0Om1L6Fw7y51OETNxjEkEpZOnfTK8g5tQGn2BYkiIiIiIqK2jrfvETUvJqXMhEU7R6lDIGpWMktrdHhyOiCrchrTVuDGjmXQau5IFhcRERERtV36SSn+nCZqKn6KiKjVUnTqBYfgZ/TKynOv4ta+tRJFRERERERtmd7T95iUImoyforaCCEEli9fjsLCQqlDITIqh5BnYe3eTa+s6ORulPx6RKKIiIiIiKitUlhV6Skl5+17RE3FpFQbsWTJEsyYMQOBgYE4f/681OEQGY3MwhId/vo2ZFYKXZldvydg4zNQwqiIiIiIqC1SWFR9+h5/ThM1laXUAVDT7d27F3//+98BAOfPn0dgYCD+85//4Kmnnmr2dXnH7Gz2ZRI1lZVTJziFR+Pmj6vg9PhrsPcLlzokIiIiImqD9HpKcaBzoiZjUqqV+/XXXxEZGQmtVqsrKyoqglKplDAqIuOz6/0olJ69YanqKHUoRERERNRG6Y0pxdv3iJqM/Q1bsevXr2P48OHIzc3VK1+4cCGeeOIJiaIikg4TUkRERETUkvSevmfJn9NETcVPUStVUlKCkSNH4rffftMrf+qppxAbGytRVESmS1tWKnUIRERERNTKVe0pZSXnz2mipuKnqBUqLS3FuHHjkJycrFc+YMAAbNiwAXKeHIn0lN28guwv/g+Fx3dIHQoRERERtWJVx5Sy5JhSRE3GMaVambKyMkRGRmLXrl165V26dMGOHTtgZ2cnUWREpulO1ilc3/IetKXFyI1fA1hYw96Pt7cSERERUcNVvX1PxpwUUZMxKdWKlJWVYcKECdi+fbteuYODA3bt2gV3d3eJIiMyTWW5V5GzaQ6gLdeV5e7+CDK5Bez6hkoYGRERERG1RlVv36vQ1lGRiAzCpFQrUVJSgmeeeQY7d+7UK7ezs8OPP/6I3r17SxQZkemycuoEx788h7yD66uUCtzctRza0iJ4xxi2nEuLR7RIfERERETUulhX6Sml1QoJIyFqGzj4UCtw69YtPP7449USUra2tti1axeCg4MliozI9DkEPwNVcGS18lsJnyPv5w0QghcTRERERGQYC/m9e/a0vI4kajImpVqBjRs34siRI3plNjY2+OGHHzB48GCJoiJqPRwHPw9V0Jhq5flHvsWNHcv4ZD4iIiIiarAKJqWImoxJqVbgtddeQ2TkvZ4ejo6O2Lt3Lx577DEJoyJqPWQyGRyHTILjkKhq00rOHkDONzEoL7whQWRERERE1Frx9j2ipmNSqhWQyWT44osv4O/vDw8PD/z8888ICQmROiyiVkUmk8HhoXFwCp8KQP9RKRr1BWSvm47bmcelCY6IiIiIWh0rC/6cJmoqfopaiXbt2mHbtm04cuQI+vTpI3U4RK2Wvf9wuIyZDZm1jV65tjgP1/47B7n71kKUl0kUHRFRde+99x5CQkJga2sLR0dHg+YRQmDOnDlwd3eHjY0NwsLCcOHChZYNlIjITMx4vDsGebdHRP9OUodC1Orx6XsmQqvV4rPPPkPHjh0xevToGut4eXkZOSqitsnWNxBuL3yA698vRHlett60wqPbUJ6nRsfR70oUHeAds7P+SuBTAYnMhUajwbhx4xAcHIwvvvjCoHmWLFmCVatWYd26dejatStmz56N8PBwnD17FkqlsoUjJiJq294M7YY3Q7tJHQZRm8CeUibg1KlTePjhh/H666/jpZdeQlZWltQhEbV51h26wG3ih1D6BFSbZu8/XIKIiIhqNn/+fLz11lvo27evQfWFEFixYgXeffddPP300+jXrx/Wr1+PP/74A9u2bWvZYImIiIgagEkpCV29ehWTJ09G//798csvvwAA8vPz8fzzz6OiokLi6IjaPgsbe3QcOw/tQ6cAFlYAANueg2FTQ6KKiKi1yMzMhFqtRlhYmK7MwcEBQUFBSEpKkjAyIiIiIn1MSkkgOzsb77zzDnx9fbF27VpotVq96T///DN27dolUXRE5kUmk0E18Cm4Ry2HonNvtA+dXGvdM2fOoLS01IjRERE1nFqtBgC4urrqlbu6uuqm1aS0tBQFBQV6LyIiIqKWxKSUEZ07dw6vvPIKvL29sWTJEty5c6daHV9fX8THx2PkyJESREhkvqxdvOE24X1Y2jnVOF2j0SA8PBxdu3bF+++/j7y8POMGSERtSkxMDGQyWZ2v8+fPGzWmRYsWwcHBQffy9PQ06vqJiIjI/DAp1cKKi4uxbt06DBkyBA8++CC++OILaDSaavVsbW0xd+5cpKWl6XW3JyLTsHHjRly9ehXZ2dmIiYmBh4cHoqKicPDgQQghpA6PiFqZmTNn4ty5c3W+fHx8GrVsNzc3AEBOTo5eeU5Ojm5aTWJjY5Gfn697XblypVHrJyIiIjIUn77XQm7fvo1XX30VW7duRVFRUa31LCwsMGXKFMyePRvu7u5GjJCIDCWEwNKlS/XKbt++jfXr12P9+vXw8fHB2LFjMXr0aAwaNAhyOfP9RFQ3FxcXuLi4tMiyu3btCjc3NyQkJMDf3x8AUFBQgOTkZLz++uu1zqdQKKBQKFokJiIiIqKaMCllIEMe0V718exKpRK//PJLrQkphUKBqKgozJo1C76+vs0WJxE1v9zcXHTo0KHW6b/99huWLFmCJUuWwMLOGTY+AVB69YOyix8s7NobMdLWw5BzanOreo42FYa2gynGbihz2MaWlpWVhdzcXGRlZaGiogKpqakA7t7yb2dnBwDo2bMnFi1ahFGjRkEmk2H69On45z//iW7duqFr166YPXs2PDw8EBERId2GEBEREd2HSalGqCjJh0Z9EZqcDEAmg8ND46rVkclkGDVqFJYsWaJX7uzsjNdeew1vvPFGtQFIicg0OTs7IzExEceOHcPSpUuxZcsWlJeX11i3ougmik7tQdGpPQAAK2dPqB4aB7s+jxkzZCJqQ+bMmYN169bp3vfv3x8AkJiYiKFDhwIA0tPTkZ+fr6vzt7/9DcXFxZgyZQry8vLwl7/8Bbt374ZSqTRq7ERERER1adQ9JqtXr4a3tzeUSiWCgoLwv//9r876mzdvRs+ePaFUKtG3b99W8WQ5jUaDzMxM7NmzBx9//DFy936KnE2z8fu/X8TvH03Atc1zkXdwPQpTfqh1GaNGjQIAyOVyPPnkk/juu+/wxx9/4J///CcTUkSt0MCBA7Fp0yb8/vvvWLp0KXr27FnvPGU3r0BU1JzAAoDiswdQevU8ygtvQmgrmjNcImoj4uLiIISo9qpMSAF3bzOeNGmS7r1MJsOCBQugVqtx584d7N27F927dzd+8ERERER1aHBPqU2bNmHGjBlYs2YNgoKCsGLFCoSHhyM9PR0dO3asVv/IkSMYP348Fi1ahL/+9a/45ptvEBERgePHj6NPnz7NshFNdfz4cXz66ae4evWq7nX9+nWD5q0oykV5UW6NT+wKDAzEmjVr8Ne//hWdOnVq7rCJSCKurq54++23MXPmTBw/fhxbtmzBkjXrUZ77e431Fe7daiyvKMnHjR+qjFUlt4CFnTMsVR1gYe8Ci3aOaP/oS5DJLVpiM4iIiIiIiCTV4KTUhx9+iMmTJ+PFF18EAKxZswY7d+7El19+iZiYmGr1V65ciWHDhmHWrFkAgIULFyI+Ph4ff/wx1qxZ08Twm0d2djY+++yzRs+vUV+EpW9gtXK5XI5XX321KaERkQmTyWQICAhAQEAANlSEoOzGFdzOPI47WSdxJ+s0hKYEMksFrDp0qXH+styr+gXaClQUXENFwbW7y7dUoP1jr7T0ZhAREREREUmiQUkpjUaDlJQUxMbG6srkcjnCwsKQlJRU4zxJSUmYMWOGXll4eDi2bdvW8GhbSGN6McksFbDq6A2Fmy8s7Z1bICoiam2sOnjCqoMnVIOehtBWQKO+iPI8da09ncpu1tyzqpK8nSNkMllLhEpERERERCS5BiWlbty4gYqKimrjIbm6uuL8+fM1zqNWq2usr1ara11PaWkpSktLde8rB+4sKChoSLgGU6lUtU6zt7eHr68v0kvawbK9Bywd3e7+8HTqrPdDU1ta0mLxNZW2tETqEIhaNUM+2zV9zqycPWHl7FnrZ1CUl8LC0RUV+TcAUX08KbnSvs7Pb2PjauyympMU5yVTPEeb6v5pTqawjZXLFkK02Draosr2as3HHxEREUnD0Osvk3z63qJFizB//vxq5Z6enkaPpbCwECdOnDCorsOKlo2FiKQh1We7LOcirqx4ptbpzRmXOZy/WvM2tubYDWWMbSwsLISDg0PLr6iNKCwsBCDN9RcRERG1DfVdfzUoKdWhQwdYWFggJydHrzwnJwdubm41zuPm5tag+gAQGxurd8ufVqtFbm4unJ2dW+RWloKCAnh6euLKlSt19poyd2yn+rGNDMN2MgzbyTBsp/qZexsJIVBYWAgPDw+pQ2lVPDw8cOXKFdjb2/P6q43iPpAW21963AfSYvtLryX3gaHXXw1KSllbWyMgIAAJCQmIiIgAcDdhlJCQgOjo6BrnCQ4ORkJCAqZPn64ri4+PR3BwcK3rUSgUUCgUemWOjo4NCbVRVCoVPwwGYDvVj21kGLaTYdhOhmE71c+c24g9pBpOLpejc+fOLb4ecz4uTQX3gbTY/tLjPpAW2196LbUPDLn+avDtezNmzEBUVBQGDhyIwMBArFixAsXFxbqn8U2cOBGdOnXCokWLAADTpk3DkCFD8MEHH2DEiBHYuHEjjh071qSn3RERERERERERUevW4KRUZGQkrl+/jjlz5kCtVsPf3x+7d+/WDWaelZUFuVyuqx8SEoJvvvkG7777Lv7+97+jW7du2LZtG/r06dN8W0FERERERERERK1KowY6j46OrvV2vf3791crGzduHMaNG9eYVRmFQqHA3Llzq90ySPrYTvVjGxmG7WQYtpNh2E71YxuRKeJxKT3uA2mx/aXHfSAttr/0TGEfyASfj0xEREREREREREYmr78KERERERERERFR82JSioiIiIiIiIiIjI5JKSIiIiIiIiIiMjqzTEq99957CAkJga2tLRwdHQ2aRwiBOXPmwN3dHTY2NggLC8OFCxdaNlCJ5ebmYsKECVCpVHB0dMTLL7+MoqKiOucZOnQoZDKZ3uu1114zUsTGsXr1anh7e0OpVCIoKAj/+9//6qy/efNm9OzZE0qlEn379sWuXbuMFKm0GtJOcXFx1Y4bpVJpxGiN7+DBgxg5ciQ8PDwgk8mwbdu2eufZv38/BgwYAIVCAV9fX8TFxbV4nFJraDvt37+/2rEkk8mgVquNE7AEFi1ahEGDBsHe3h4dO3ZEREQE0tPT653PXM9NZBoa+l1KhqvvvGnINW1jrgHpLkPOyXfu3MHUqVPh7OwMOzs7jBkzBjk5OXp1srKyMGLECNja2qJjx46YNWsWysvLjbkprdYnn3yCfv36QaVSQaVSITg4GD/++KNuOtvfuBYvXgyZTIbp06fryrgPWta8efOqXQv37NlTN93U2t8sk1IajQbjxo3D66+/bvA8S5YswapVq7BmzRokJyejXbt2CA8Px507d1owUmlNmDABZ86cQXx8PHbs2IGDBw9iypQp9c43efJkZGdn615LliwxQrTGsWnTJsyYMQNz587F8ePH4efnh/DwcFy7dq3G+keOHMH48ePx8ssv48SJE4iIiEBERAROnz5t5MiNq6HtBAAqlUrvuLl8+bIRIza+4uJi+Pn5YfXq1QbVz8zMxIgRI/Doo48iNTUV06dPxyuvvIKffvqphSOVVkPbqVJ6erre8dSxY8cWilB6Bw4cwNSpU/HLL78gPj4eZWVleOKJJ1BcXFzrPOZ6biLT0JjvCDJcfedNQ65pG3sNSIadk9966y388MMP2Lx5Mw4cOIA//vgDo0eP1k2vqKjAiBEjoNFocOTIEaxbtw5xcXGYM2eOFJvU6nTu3BmLFy9GSkoKjh07hsceewxPP/00zpw5A4Dtb0xHjx7Fp59+in79+umVcx+0vN69e+tdCx86dEg3zeTaX5ixr776Sjg4ONRbT6vVCjc3N7F06VJdWV5enlAoFOLbb79twQilc/bsWQFAHD16VFf2448/CplMJq5evVrrfEOGDBHTpk0zQoTSCAwMFFOnTtW9r6ioEB4eHmLRokU11n/mmWfEiBEj9MqCgoLEq6++2qJxSq2h7WToZ7GtAiC2bt1aZ52//e1vonfv3nplkZGRIjw8vAUjMy2GtFNiYqIAIG7dumWUmEzRtWvXBABx4MCBWuuY67mJTENDvyOo8e4/bxpyTdvYa0Cq2f3n5Ly8PGFlZSU2b96sq3Pu3DkBQCQlJQkhhNi1a5eQy+VCrVbr6nzyySdCpVKJ0tJS425AG9G+fXuxdu1atr8RFRYWim7duon4+Hi934jcBy1v7ty5ws/Pr8Zpptj+ZtlTqqEyMzOhVqsRFhamK3NwcEBQUBCSkpIkjKzlJCUlwdHREQMHDtSVhYWFQS6XIzk5uc55N2zYgA4dOqBPnz6IjY1FSUlJS4drFBqNBikpKXrHgVwuR1hYWK3HQVJSkl59AAgPD2+zxw3QuHYCgKKiInh5ecHT01Pvv1l0lzkeS03h7+8Pd3d3PP744zh8+LDU4RhVfn4+AMDJyanWOjyeSCqN/Y6g5mHINW1TrgGpuvvPySkpKSgrK9PbBz179kSXLl309kHfvn3h6uqqqxMeHo6CggJeHzVQRUUFNm7ciOLiYgQHB7P9jWjq1KkYMWJEtesN7gPjuHDhAjw8PODj44MJEyYgKysLgGm2v2WzL7ENqhyLpOpOqXzfVscpUavV1W53sbS0hJOTU53b/Nxzz8HLywseHh44deoU3nnnHaSnp2PLli0tHXKLu3HjBioqKmo8Ds6fP1/jPGq12qyOG6Bx7dSjRw98+eWX6NevH/Lz87Fs2TKEhITgzJkz6Ny5szHCNnm1HUsFBQW4ffs2bGxsJIrMtLi7u2PNmjUYOHAgSktLsXbtWgwdOhTJyckYMGCA1OG1OK1Wi+nTp+Phhx9Gnz59aq1njucmMg2N+Y6g5mPINW1jrwGpuprOyWq1GtbW1tXGtb1/H9S0jyqnUf3S0tIQHByMO3fuwM7ODlu3bsWDDz6I1NRUtr8RbNy4EcePH8fRo0erTeNnoOUFBQUhLi4OPXr0QHZ2NubPn4/Bgwfj9OnTJtn+bSYpFRMTg/fff7/OOufOndMb4MscGdpOjVV1vIG+ffvC3d0doaGhyMjIwAMPPNDo5VLbFhwcjODgYN37kJAQ9OrVC59++ikWLlwoYWTU2vTo0QM9evTQvQ8JCUFGRgaWL1+Or7/+WsLIjGPq1Kk4ffq03rgBREQkDZ6TpdOjRw+kpqYiPz8f3333HaKionDgwAGpwzILV65cwbRp0xAfH9/mH1xkqoYPH677u1+/fggKCoKXlxf++9//muQ/sttMUmrmzJmYNGlSnXV8fHwatWw3NzcAQE5ODtzd3XXlOTk58Pf3b9QypWJoO7m5uVUbcLS8vBy5ubm69jBEUFAQAODixYutPinVoUMHWFhYVHsyQU5OTq1t4ubm1qD6bUFj2ul+VlZW6N+/Py5evNgSIbZKtR1LKpXKJL9cTElgYKBZ/CCIjo7WDUhcXw9Dczw3kWloju8IajxDrmmb6xrQ3NV2TnZzc4NGo0FeXp5eT4WqnwE3N7dqT6Ss/MxwHxjG2toavr6+AICAgAAcPXoUK1euRGRkJNu/haWkpODatWt6PdQrKipw8OBBfPzxx/jpp5+4D4zM0dER3bt3x8WLF/H444+bXPu3mTGlXFxc0LNnzzpf1tbWjVp2165d4ebmhoSEBF1ZQUEBkpOT9Xp3tAaGtlNwcDDy8vKQkpKim3ffvn3QarW6RJMhUlNTAUDvwqe1sra2RkBAgN5xoNVqkZCQUOtxEBwcrFcfAOLj41vdcdMQjWmn+1VUVCAtLa1NHDfNxRyPpeaSmprapo8lIQSio6OxdetW7Nu3D127dq13Hh5PJJXm+I6gxjPkmra5rgHNVX3n5ICAAFhZWentg/T0dGRlZentg7S0NL3kYHx8PFQqFR588EHjbEgbo9VqUVpayvY3gtDQUKSlpSE1NVX3GjhwICZMmKD7m/vAuIqKipCRkQF3d3fT/Aw0+9DprcDly5fFiRMnxPz584WdnZ04ceKEOHHihCgsLNTV6dGjh9iyZYvu/eLFi4Wjo6PYvn27OHXqlHj66adF165dxe3bt6XYBKMYNmyY6N+/v0hOThaHDh0S3bp1E+PHj9dN//3330WPHj1EcnKyEEKIixcvigULFohjx46JzMxMsX37duHj4yMeeeQRqTah2W3cuFEoFAoRFxcnzp49K6ZMmSIcHR11TyZ44YUXRExMjK7+4cOHhaWlpVi2bJk4d+6cmDt3rrCyshJpaWlSbYJRNLSd5s+fL3766SeRkZEhUlJSxLPPPiuUSqU4c+aMVJvQ4goLC3XnHgDiww8/FCdOnBCXL18WQggRExMjXnjhBV393377Tdja2opZs2aJc+fOidWrVwsLCwuxe/duqTbBKBraTsuXLxfbtm0TFy5cEGlpaWLatGlCLpeLvXv3SrUJLe71118XDg4OYv/+/SI7O1v3Kikp0dXhuYlMSX3fEdQ09Z03Dbmmre8akGpnyDn5tddeE126dBH79u0Tx44dE8HBwSI4OFg3vby8XPTp00c88cQTIjU1VezevVu4uLiI2NhYKTap1YmJiREHDhwQmZmZ4tSpUyImJkbIZDKxZ88eIQTbXwr3P6Gd+6BlzZw5U+zfv19kZmaKw4cPi7CwMNGhQwdx7do1IYTptb9ZJqWioqIEgGqvxMREXR0A4quvvtK912q1Yvbs2cLV1VUoFAoRGhoq0tPTjR+8Ed28eVOMHz9e2NnZCZVKJV588UW9xF1mZqZeu2VlZYlHHnlEODk5CYVCIXx9fcWsWbNEfn6+RFvQMj766CPRpUsXYW1tLQIDA8Uvv/yimzZkyBARFRWlV/+///2v6N69u7C2tha9e/cWO3fuNHLE0mhIO02fPl1X19XVVTz55JPi+PHjEkRtPImJiTWehyrbJSoqSgwZMqTaPP7+/sLa2lr4+PjonaPaqoa20/vvvy8eeOABoVQqhZOTkxg6dKjYt2+fNMEbSU3tc/93GM9NZGrq+o6gpqnvvGnINW1914BUO0POybdv3xb/93//J9q3by9sbW3FqFGjRHZ2tt5yLl26JIYPHy5sbGxEhw4dxMyZM0VZWZmRt6Z1eumll4SXl5ewtrYWLi4uIjQ0VJeQEoLtL4X7k1LcBy0rMjJSuLu7C2tra9GpUycRGRkpLl68qJtuau0vE0KI5u9/RUREREREREREVLs2M6YUERERERERERG1HkxKERERERERERGR0TEpRURERERERERERsekFBERERERERERGR2TUkREREREREREZHRMShERERERERERkdExKUVEREREREREREbHpBQRERERERERERkdk1JEZHL2798PmUyGvLw8qUMhIiIiMllDhw7F9OnTpQ5Dj0wmw7Zt26QOg4haCSaliEhyLXVBxYsiIiIiasu2bNmChQsXAgC8vb2xYsUKo6173rx58Pf3r1aenZ2N4cOHGy0OImrdLKUOgIiIiIiIiBrOycmp2Zep0WhgbW3d6Pnd3NyaMRoiauvYU4qIJDVp0iQcOHAAK1euhEwmg0wmw6VLlwAAKSkpGDhwIGxtbRESEoL09HS9ebdv344BAwZAqVTCx8cH8+fPR3l5OYC7/y0EgFGjRkEmk+neZ2Rk4Omnn4arqyvs7OwwaNAg7N2711ibS0RERNRsKnubDx06FJcvX8Zbb72lu56qdOjQIQwePBg2Njbw9PTEm2++ieLiYt10b29vLFy4EBMnToRKpcKUKVMAAO+88w66d+8OW1tb+Pj4YPbs2SgrKwMAxMXFYf78+Th58qRufXFxcQCq91RPS0vDY489BhsbGzg7O2PKlCkoKirSTZ80aRIiIiKwbNkyuLu7w9nZGVOnTtWtCwD+/e9/o1u3blAqlXB1dcXYsWNbojmJSAJMShGRpFauXIng4GBMnjwZ2dnZyM7OhqenJwDgH//4Bz744AMcO3YMlpaWeOmll3Tz/fzzz5g4cSKmTZuGs2fP4tNPP0VcXBzee+89AMDRo0cBAF999RWys7N174uKivDkk08iISEBJ06cwLBhwzBy5EhkZWUZecuJiIiImseWLVvQuXNnLFiwQHc9Bdz9Z9ywYcMwZswYnDp1Cps2bcKhQ4cQHR2tN/+yZcvg5+eHEydOYPbs2QAAe3t7xMXF4ezZs1i5ciU+//xzLF++HAAQGRmJmTNnonfv3rr1RUZGVouruLgY4eHhaN++PY4ePYrNmzdj79691dafmJiIjIwMJCYmYt26dYiLi9MluY4dO4Y333wTCxYsQHp6Onbv3o1HHnmkuZuQiKQiiIgkNmTIEDFt2jTd+8TERAFA7N27V1e2c+dOAUDcvn1bCCFEaGio+Ne//qW3nK+//lq4u7vr3gMQW7durXf9vXv3Fh999FHTNoKIiIjIyKpeQ3l5eYnly5frTX/55ZfFlClT9Mp+/vlnIZfLdddUXl5eIiIiot51LV26VAQEBOjez507V/j5+VWrV/X667PPPhPt27cXRUVFuuk7d+4UcrlcqNVqIYQQUVFRwsvLS5SXl+vqjBs3TkRGRgohhPj++++FSqUSBQUF9cZIRK0Px5QiIpPVr18/3d/u7u4AgGvXrqFLly44efIkDh8+rOsZBQAVFRW4c+cOSkpKYGtrW+Myi4qKMG/ePOzcuRPZ2dkoLy/H7du32VOKiIiI2pyTJ0/i1KlT2LBhg65MCAGtVovMzEz06tULADBw4MBq827atAmrVq1CRkYGioqKUF5eDpVK1aD1nzt3Dn5+fmjXrp2u7OGHH4ZWq0V6ejpcXV0BAL1794aFhYWujru7O9LS0gAAjz/+OLy8vODj44Nhw4Zh2LBhGDVqVK3XekTUujApRUQmy8rKSvd35dgIWq0WwN3k0vz58zF69Ohq8ymVylqX+fbbbyM+Ph7Lli2Dr68vbGxsMHbsWGg0mmaOnoiIiEhaRUVFePXVV/Hmm29Wm9alSxfd31WTRgCQlJSECRMmYP78+QgPD4eDgwM2btyIDz74oEXirHrNB9y97qu85rO3t8fx48exf/9+7NmzB3PmzMG8efNw9OhRODo6tkg8RGQ8TEoRkeSsra1RUVHRoHkGDBiA9PR0+Pr61lrHysqq2nIPHz6MSZMmYdSoUQDuXqxVDqxORERE1FrVdD01YMAAnD17ts7rpZocOXIEXl5e+Mc//qEru3z5cr3ru1+vXr0QFxeH4uJiXeLr8OHDkMvl6NGjh8HxWFpaIiwsDGFhYZg7dy4cHR2xb9++Gv85SUStCwc6JyLJeXt7Izk5GZcuXcKNGzd0/xmry5w5c7B+/XrMnz8fZ86cwblz57Bx40a8++67estNSEiAWq3GrVu3AADdunXDli1bkJqaipMnT+K5554zaH1EREREpszb2xsHDx7E1atXcePGDQB3n6B35MgRREdHIzU1FRcuXMD27durDTR+v27duiErKwsbN25ERkYGVq1aha1bt1ZbX2ZmJlJTU3Hjxg2UlpZWW86ECROgVCoRFRWF06dPIzExEW+88QZeeOEF3a179dmxYwdWrVqF1NRUXL58GevXr4dWq21QUouITBeTUkQkubfffhsWFhZ48MEH4eLiYtD4TuHh4dixYwf27NmDQYMG4aGHHsLy5cvh5eWlq/PBBx8gPj4enp6e6N+/PwDgww8/RPv27RESEoKRI0ciPDwcAwYMaLFtIyIiIjKGBQsW4NKlS3jggQfg4uIC4O74nAcOHMCvv/6KwYMHo3///pgzZw48PDzqXNZTTz2Ft956C9HR0fD398eRI0d0T+WrNGbMGAwbNgyPPvooXFxc8O2331Zbjq2tLX766Sfk5uZi0KBBGDt2LEJDQ/Hxxx8bvF2Ojo7YsmULHnvsMfTq1Qtr1qzBt99+i969exu8DCIyXTIhhJA6CCIiIiIiIiIiMi/sKUVEREREREREREbHpBQRERERERERERkdk1JERERERERERGR0TEoREREREREREZHRMSlFRERERERERERGx6QUEREREREREREZHZNSRERERERERERkdExKERERERERERGR0TEpRURERERERERERsekFBERERERERERGR2TUkREREREREREZHRMShERERERERERkdH9P86+G2fCgrdxAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm\n",
        "\n",
        "import jax.numpy as jnp\n",
        "import jax.random as random\n",
        "import jax\n",
        "from jax.scipy.stats import norm as jnorm\n",
        "import optax\n",
        "\n",
        "# -------------------------------\n",
        "# Set model parameters (as in your MCMC code)\n",
        "# -------------------------------\n",
        "d = 1         # dimension\n",
        "v = 0.1       # noise variance parameter\n",
        "\n",
        "\n",
        "# -------------------------------\n",
        "# Variational Inference (VI) code\n",
        "# -------------------------------\n",
        "# We assume a surrogate posterior q(theta) = Normal(mu, sigma)\n",
        "# with parameters 'mu' and 'log_sigma' (so sigma = exp(log_sigma))\n",
        "# We define the ELBO: E_q[ log p(theta) - log q(theta) ]\n",
        "# (Note: here log p(theta) = log_prior + log_likelihood)\n",
        "\n",
        "def elbo(params, rng_key, num_samples=500):\n",
        "    mu, log_sigma = params  # each of shape (d,), here d=1\n",
        "    sigma = jnp.exp(log_sigma)\n",
        "    # Draw samples from q(theta)\n",
        "    key, subkey = random.split(rng_key)\n",
        "    eps = random.normal(subkey, shape=(num_samples, d))\n",
        "    theta_samples = jnp.array([mu + sigma * eps])  # shape (num_mc, d)\n",
        "    # Compute log joint (log posterior) for each sample\n",
        "    log_joint = jax.vmap(log_prob)(theta_samples)\n",
        "    # Compute log q(theta) for each sample\n",
        "    log_q = jax.vmap(lambda th: jnorm.logpdf(th, loc=mu, scale=sigma))(theta_samples)[...,0]\n",
        "    return jnp.mean(jnp.sum(log_joint) - jnp.sum(log_q))\n",
        "\n",
        "def loss_fn(params, rng_key):\n",
        "    # We maximize the ELBO, so we minimize the negative ELBO.\n",
        "    return -elbo(params, rng_key)\n",
        "\n",
        "# Set up the optimizer (Adam)\n",
        "learning_rate = 0.1\n",
        "optimizer = optax.adam(learning_rate)\n",
        "# Initialize parameters: start at mu=0, log_sigma=0 => sigma=1\n",
        "init_params = jnp.array([3.0,np.log(0.3)])  # shape (2,) where index 0 is mu, 1 is log_sigma\n",
        "opt_state = optimizer.init(init_params)\n",
        "\n",
        "\n",
        "@jax.jit\n",
        "def update(params, opt_state, rng_key):\n",
        "    loss, grads = jax.value_and_grad(loss_fn)(params, rng_key)\n",
        "    updates, opt_state = optimizer.update(grads, opt_state)\n",
        "    params = optax.apply_updates(params, updates)\n",
        "    return params, opt_state, loss\n",
        "\n",
        "# Optimize VI parameters\n",
        "num_vi_steps = N_ITERATION\n",
        "params = init_params\n",
        "vi_losses = []\n",
        "vi_trace = []  # trace of mu over iterations\n",
        "rng_key_vi = random.PRNGKey(2)\n",
        "\n",
        "\n",
        "for i in trange(num_vi_steps):\n",
        "    rng_key_vi, subkey = random.split(rng_key_vi)\n",
        "    params, opt_state, loss_val = update(params, opt_state, subkey)\n",
        "    vi_losses.append(loss_val)\n",
        "    vi_trace.append([params[0], np.exp(params[1])])  # record the current mu\n",
        "\n",
        "vi_mu, vi_log_sigma = params\n",
        "vi_sigma = jnp.exp(vi_log_sigma)\n",
        "print(\"\\nVI Surrogate Posterior for theta:\")\n",
        "print(\"  Mean (mu) =\", vi_mu)\n",
        "print(\"  Std (sigma) =\", vi_sigma)\n",
        "\n",
        "\n",
        "# draw VI surrogate distribution\n",
        "\n",
        "\n",
        "# -------------------------------\n",
        "# Plotting\n",
        "# -------------------------------\n",
        "\n",
        "# 1. Plot VI loss (negative ELBO) vs. iterations\n",
        "plt.figure(figsize=(12,8))\n",
        "plt.subplot(2,2,1)\n",
        "plt.plot(vi_losses)\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Loss (Negative ELBO)\")\n",
        "plt.title(\"VI Loss vs. Iteration\")\n",
        "\n",
        "# 2. Plot VI trace of mu\n",
        "plt.subplot(2,2,2)\n",
        "plt.plot(np.array(vi_trace), label=['mu','sigma'])\n",
        "plt.legend()\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Surrogate Prams\")\n",
        "plt.title(\"VI Trace\")\n",
        "\n",
        "# 3. Histogram of VI surrrogate posterior vs. true posterior density\n",
        "plt.subplot(2,2,3)\n",
        "# Compute true posterior density on a grid\n",
        "xs_grid = np.linspace(-1, 1, 1000).reshape(-1, 1)\n",
        "true_pdf = true_posterior(xs_grid)\n",
        "vi_pdf = jax.scipy.stats.norm.pdf(xs_grid, vi_mu, vi_sigma)\n",
        "\n",
        "plt.plot(xs_grid, true_pdf, 'k--', lw=3, label=\"True Posterior\")\n",
        "plt.plot(xs_grid, vi_pdf, 'r--', lw=3, label=\"VI Surrogate\")\n",
        "plt.xlabel(\"theta\")\n",
        "plt.ylabel(\"Density\")\n",
        "plt.title(\"Posterior for theta\")\n",
        "plt.legend()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 538,
          "referenced_widgets": [
            "2b86231bd5a14fd9bba808f6ae211252",
            "178eb30abcba4668b0e4bb5e0aad32e8",
            "c0849aeffb354f2bac1f03d785072f7b",
            "17209ae584384b40980e8d0892d40fdf",
            "fd94f9e31d614824906d50c3dbcea4b2",
            "c5dc4abe8e864978ab7af071e671a0f2",
            "844d75da7b354569a89c56945895eea3",
            "2fb4e752dfa242d39a4abf67deec02be",
            "d6199b8cb16f47f4b3ec5719c832c099",
            "e2b9bbc2339441f4813418df2154f82f",
            "868e4d7a3c624d218620e9694ed378f4"
          ]
        },
        "id": "Y6alOwY3x5z7",
        "outputId": "9cb6ddb7-9da3-4c3a-de4a-60524b752d23"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/500 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "2b86231bd5a14fd9bba808f6ae211252"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "VI Surrogate Posterior for theta:\n",
            "  Mean (mu) = 0.0066917646\n",
            "  Std (sigma) = 0.30531555\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 3 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from matplotlib.lines import Line2D\n",
        "from matplotlib.patches import Patch\n",
        "from matplotlib.ticker import MaxNLocator\n",
        "\n",
        "plt.rcParams['font.size'] = 14\n",
        "plt.rcParams['ytick.labelsize'] = 12\n",
        "\n",
        "\n",
        "full_xgrid = np.linspace(-5,5, 300)\n",
        "\n",
        "VI_COLOR = \"tab:orange\"\n",
        "MCMC_COLOR = \"tab:purple\"\n",
        "\n",
        "def plot_frame(iteration=None):\n",
        "  fig, axs = plt.subplots(2, 2, sharex='col')\n",
        "\n",
        "  # Determine the data to use based on the 'iteration' parameter\n",
        "  mcmc_samples_subset = mcmc_samples[:iteration] if iteration is not None else mcmc_samples\n",
        "  vi_losses_subset = vi_losses[:iteration] if iteration is not None else vi_losses\n",
        "  vi_trace_subset = vi_trace[:iteration]\n",
        "  vi_mu, vi_sigma = vi_trace_subset[-1]\n",
        "  vi_pdf = jax.scipy.stats.norm.pdf(full_xgrid, vi_mu, vi_sigma)\n",
        "\n",
        "  # Plotting for the first column\n",
        "  axs[0, 0].plot(mcmc_samples_subset.ravel(), color=MCMC_COLOR, lw=3)\n",
        "  axs[0, 0].set_ylabel(r'$\\theta$')\n",
        "  axs[0, 0].text(0.05, 0.95, \"MCMC Trace Plot\", transform=axs[0, 0].transAxes, fontsize=14,\n",
        "      verticalalignment='top', color=MCMC_COLOR)\n",
        "  axs[1, 0].plot(vi_losses_subset, color=VI_COLOR, lw=3)\n",
        "  axs[1, 0].set_xlabel(\"Iteration\")\n",
        "  axs[1, 0].set_ylabel(\"-ELBO\")\n",
        "  axs[1, 0].text(0.05, 0.95, \"VI Loss Plot\", transform=axs[1, 0].transAxes, fontsize=14,\n",
        "        verticalalignment='top', color=VI_COLOR)\n",
        "  axs[1,0].ticklabel_format(axis='y',style='sci', scilimits=(-1,1))\n",
        "\n",
        "\n",
        "\n",
        "  # Plotting for the second column\n",
        "  axs[0, 1].hist(mcmc_samples_subset.ravel(), density=True, bins=50, label='MCMC', alpha=0.5, color=MCMC_COLOR)\n",
        "  axt1 =axs[0,1].twinx()\n",
        "  axt1.plot(true_theta, true_pdf, 'k-', lw=3)\n",
        "  axs[0, 1].set_xlabel(r\"$\\theta$\")\n",
        "\n",
        "  axt2 =axs[1,1].twinx()\n",
        "  axt2.fill_between(full_xgrid, vi_pdf, color=VI_COLOR, alpha=0.5, label=\"VI\")\n",
        "  axs[1, 1].plot(xs_grid, true_pdf, 'k-', lw=3, label=\"True\")\n",
        "  axs[1, 1].set_xlabel(r\"$\\theta$\")\n",
        "\n",
        "  axs[0,1].legend(handles=\n",
        "      [Patch(facecolor='k', label=r'$P(\\theta)$'),\n",
        "       Patch(facecolor=MCMC_COLOR, label='MCMC')],\n",
        "      loc='upper left',\n",
        "      frameon=False, fontsize=11\n",
        "  )\n",
        "  axs[1,1].legend(\n",
        "      handles=[Patch(facecolor='k', label=r'$P(\\theta)$'),\n",
        "       Patch(facecolor=VI_COLOR, label='VI')],\n",
        "      loc='upper left',\n",
        "      frameon=False, fontsize=11\n",
        "  )\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "  # Ensure the x-axis limits are based on the full dataset\n",
        "  axs[0, 0].set_xlim(0, len(mcmc_samples) -1)\n",
        "  for ax in [axs[0,0], axs[1,0]]:\n",
        "    if iteration < 100:\n",
        "      ax.set_xlim(0, 100)\n",
        "    else:\n",
        "      ax.set_xlim(0, N_ITERATION)\n",
        "    ax.spines['top'].set_visible(False)\n",
        "    ax.spines['right'].set_visible(False)\n",
        "    ax.set_xlabel(\"Iteration\")\n",
        "\n",
        "\n",
        "  axs[0, 1].set_xlim(-5, 5) # Assuming true_theta covers the relevant range\n",
        "  axs[1, 1].set_xlim(-5, 5)     # Assuming xs_grid covers the relevant range\n",
        "  for ax in [axs[0,1], axs[1,1], axt1, axt2]:\n",
        "    ax.set_yticks([])\n",
        "    ax.set_ylim(bottom=0)\n",
        "    ax.spines['top'].set_visible(False)\n",
        "    ax.spines['right'].set_visible(False)\n",
        "    ax.spines['left'].set_visible(False)\n",
        "    ax.set_xlabel(r\"$\\theta$\")\n",
        "    ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n",
        "    ax.set_xticks([-3,0,3])\n",
        "\n",
        "  plt.tight_layout()\n",
        "  return fig\n",
        "\n",
        "\n",
        "# Example usage:\n",
        "fig = plot_frame(1)  # Plots with all data\n",
        "plt.show()\n",
        "fig = plot_frame(20)  # Plots with all data\n",
        "plt.show()\n",
        "fig = plot_frame(40)  # Plots with all data\n",
        "plt.show()\n",
        "fig = plot_frame(60)  # Plots with all data\n",
        "plt.show()\n",
        "vfig = plot_frame(N_ITERATION)  # Plots with all data"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "AbrExPFTACJB",
        "outputId": "7cfddfac-ac78-41e7-ef5b-3b7ed8055dc5"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import imageio\n",
        "\n",
        "# Create GIF frames\n",
        "frames = []\n",
        "step = 1  # Adjust the step for smoother or faster animation\n",
        "for i in range(1, 100 -1, step):\n",
        "  fig = plot_frame(i)\n",
        "  fig.canvas.draw()\n",
        "  image = np.array(fig.canvas.renderer.buffer_rgba())\n",
        "  frames.append(image)\n",
        "  plt.close(fig)\n",
        "\n",
        "# Save as GIF\n",
        "fps = 5  # Adjust frames per second for animation speed\n",
        "imageio.mimsave(\"mcmc_vs_vi.gif\", frames, fps=fps, loop=0) # loop=0 for infinite loop"
      ],
      "metadata": {
        "id": "nByLkAftFJ6W"
      },
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "JSnZ5Z3KS1HO"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}