{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "gpuType": "T4"
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "R"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "hNqRhd1OYwCz"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "set.seed(42)\n",
        "\n",
        "n <- 100\n",
        "x <- runif(n, 0, 100)\n",
        "y <- 50 * x + 100 + rnorm(n, 0, 10)\n",
        "\n",
        "\n",
        "alpha <- 0.00001\n",
        "iterations <- 1000\n",
        "batch_size <- 10\n",
        "\n",
        "m_init <- 0\n",
        "b_init <- 0"
      ],
      "metadata": {
        "id": "87nlscZGYwF6"
      },
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "batch_gd <- function(x, y, m, b, alpha, iterations){\n",
        "\n",
        "  n <- length(y)\n",
        "  cost_history <- numeric(iterations)\n",
        "\n",
        "  for(i in 1:iterations){\n",
        "\n",
        "    y_pred <- m * x + b\n",
        "\n",
        "    gradient_m <- -(2/n) * sum(x * (y - y_pred))\n",
        "    gradient_b <- -(2/n) * sum(y - y_pred)\n",
        "\n",
        "    m <- m - alpha * gradient_m\n",
        "    b <- b - alpha * gradient_b\n",
        "\n",
        "    cost <- mean((y - y_pred)^2)\n",
        "    cost_history[i] <- cost\n",
        "  }\n",
        "\n",
        "  return(list(m=m, b=b, cost_history=cost_history))\n",
        "}"
      ],
      "metadata": {
        "id": "h4gzI1mzYwIS"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "sgd <- function(x, y, m, b, alpha, iterations){\n",
        "\n",
        "  n <- length(y)\n",
        "  cost_history <- numeric(iterations)\n",
        "\n",
        "  for(i in 1:iterations){\n",
        "\n",
        "    idx <- sample(1:n,1)\n",
        "\n",
        "    x_i <- x[idx]\n",
        "    y_i <- y[idx]\n",
        "\n",
        "    y_pred <- m * x_i + b\n",
        "\n",
        "    gradient_m <- -2 * x_i * (y_i - y_pred)\n",
        "    gradient_b <- -2 * (y_i - y_pred)\n",
        "\n",
        "    m <- m - alpha * gradient_m\n",
        "    b <- b - alpha * gradient_b\n",
        "\n",
        "    y_full <- m * x + b\n",
        "    cost_history[i] <- mean((y - y_full)^2)\n",
        "  }\n",
        "\n",
        "  return(list(m=m, b=b, cost_history=cost_history))\n",
        "}"
      ],
      "metadata": {
        "id": "VhjPd3B0Ywry"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "mini_batch_gd <- function(x, y, m, b, alpha, iterations, batch_size){\n",
        "\n",
        "  n <- length(y)\n",
        "  cost_history <- numeric(iterations)\n",
        "\n",
        "  for(i in 1:iterations){\n",
        "\n",
        "    batch_index <- sample(1:n, batch_size)\n",
        "\n",
        "    x_batch <- x[batch_index]\n",
        "    y_batch <- y[batch_index]\n",
        "\n",
        "    y_pred <- m * x_batch + b\n",
        "\n",
        "    gradient_m <- -(2/batch_size) * sum(x_batch * (y_batch - y_pred))\n",
        "    gradient_b <- -(2/batch_size) * sum(y_batch - y_pred)\n",
        "\n",
        "    m <- m - alpha * gradient_m\n",
        "    b <- b - alpha * gradient_b\n",
        "\n",
        "    y_full <- m * x + b\n",
        "    cost_history[i] <- mean((y - y_full)^2)\n",
        "  }\n",
        "\n",
        "  return(list(m=m, b=b, cost_history=cost_history))\n",
        "}"
      ],
      "metadata": {
        "id": "SUXQsU2YYwua"
      },
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "batch_result <- batch_gd(x, y, m_init, b_init, alpha, iterations)\n",
        "sgd_result <- sgd(x, y, m_init, b_init, alpha, iterations)\n",
        "mini_result <- mini_batch_gd(x, y, m_init, b_init, alpha, iterations, batch_size)"
      ],
      "metadata": {
        "id": "Sh39pUE4YwxD"
      },
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plot(x, y, main=\"Gradient Descent Regression Lines\", xlab=\"x\", ylab=\"y\")\n",
        "\n",
        "abline(batch_result$b, batch_result$m, col=\"red\", lwd=2)\n",
        "abline(sgd_result$b, sgd_result$m, col=\"blue\", lwd=2)\n",
        "abline(mini_result$b, mini_result$m, col=\"green\", lwd=2)\n",
        "\n",
        "legend(\"topleft\",\n",
        "       legend=c(\"Batch GD\",\"SGD\",\"Mini-Batch GD\"),\n",
        "       col=c(\"red\",\"blue\",\"green\"),\n",
        "       lwd=2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "9XlwJj3JYwzz",
        "outputId": "6754790f-9a77-4d82-b2d1-b3352dc8cfa4"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title “Gradient Descent Regression Lines”"
            ],
            "image/png": 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AjatGnTvXt3KyurMg873NzcCgoK2G99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\nqAEkrv8AAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "cat(\"Batch GD -> m:\", batch_result$m, \" b:\", batch_result$b, \"\\n\")\n",
        "cat(\"SGD -> m:\", sgd_result$m, \" b:\", sgd_result$b, \"\\n\")\n",
        "cat(\"Mini Batch GD -> m:\", mini_result$m, \" b:\", mini_result$b, \"\\n\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Pkp1AoqdYw2h",
        "outputId": "e17d8f82-dc1b-4178-d55b-afe27b4e50db"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Batch GD -> m: 51.42538  b: 1.215063 \n",
            "SGD -> m: 51.3787  b: 1.282832 \n",
            "Mini Batch GD -> m: 51.41466  b: 1.206799 \n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "par(mfrow=c(3,1))\n",
        "\n",
        "# Batch Gradient Descent\n",
        "plot(batch_result$cost_history,\n",
        "     type=\"l\",\n",
        "     col=\"red\",\n",
        "     lwd=2,\n",
        "     xlab=\"Iterations\",\n",
        "     ylab=\"Cost\",\n",
        "     main=\"Batch Gradient Descent - Cost Convergence\")\n",
        "\n",
        "# Stochastic Gradient Descent\n",
        "plot(sgd_result$cost_history,\n",
        "     type=\"l\",\n",
        "     col=\"blue\",\n",
        "     lwd=2,\n",
        "     xlab=\"Iterations\",\n",
        "     ylab=\"Cost\",\n",
        "     main=\"Stochastic Gradient Descent - Cost Convergence\")\n",
        "\n",
        "# Mini-Batch Gradient Descent\n",
        "plot(mini_result$cost_history,\n",
        "     type=\"l\",\n",
        "     col=\"green\",\n",
        "     lwd=2,\n",
        "     xlab=\"Iterations\",\n",
        "     ylab=\"Cost\",\n",
        "     main=\"Mini-Batch Gradient Descent - Cost Convergence\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "EKF5i_HKYw45",
        "outputId": "5ec1e182-501c-470e-8fe0-2b886fcc088a"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title “Mini-Batch Gradient Descent - Cost Convergence”"
            ],
            "image/png": 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PvLX/6ifuWJ+jy8W9pUtfLqN/SAE9Ap\ntdwwBQBAQzt16lR2dna3bt2aN28uIr/+9a+PHj362muvmb6nGMAtIdgBADTz4IMP7tq1Kyoq\n6v777//666/37t3bpk2bU6dO1by/G0BdEOwAAJopKiqaN2/e9u3bL126FBwc3K9fv0WLFrVu\n3VrrugBHRbADAABwEjzuBAAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATB\nDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4A\nAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACchJvWBdyu\n1NTU999/X+sqAAAArHFxcVm4cGFMTEyDtuIwwW7ZsmVLliypubyoqMjHx2fMmDH2LwkAAKCO\nNm3aFB8fT7D72fjx49u0aVNz+bRp00JCQtatW2f3igAAAOpq165ddmjFYYJdSEjIqFGjai6f\nOXOmm5vD7AUAAEDD4eaJGgoLZc8eqajQug4AAIBbQ7CrYfx4eeABmTdP6zoAAABuDcGuhgsX\nRETOntW6DgAAgFtDsKvB21tEpKRE6zoAAABuDcGuBoIdAABwTPYOdpWVlR9//LGIGI3GdevW\nDR8+PDExMTU1VVEUO1dSK4IdAABwTPZ+UMjMmTMzMjIGDRq0cOHCtLS0iRMnGo3GBQsWZGVl\nPffcc3YuxjKCHQAAcEz2DnabNm3KzMwUkc2bN+/bt0995vDkyZP79+9PsAMAALgd9j4Vq9Pp\nDAaDiLi6uoaHh6sLg4OD8/Pz7VxJrQh2AADAMdk72D344IOPPPJITk7O5MmTly9fXlVVlZ+f\nP3369L59+9q5kloR7AAAgGOyd7BbvXq1i4tLmzZtXn311Tlz5uj1+sDAwOzs7Eb0Za96vYhI\naakYjVqXAgAAcAvsfY2dwWBIS0t77bXXTp8+nZ+f7+/v365du9DQUDuXYY06Y6cocuOG+Pho\nXQ0AAEBd2TvYicihQ4fS0tLOnDlTXFzs6+sbGxs7efLkHj162L8Sy9RgJyIlJQQ7AADgQOx9\nKnbVqlUjR450d3efMGHCrFmzkpKSRGTw4MGpqal2rqRW5sEOAADAcdh7xm7FihUHDhzo3Lmz\n+cLk5OQpU6YkJyfbuRjLCHYAAMAx2XvGrqCgoGPHjtUW9uzZMycnx86V1Mp0+rW4WNM6AAAA\nbo29g11UVNTKlSvNlyiKkpKSEhsba+dKasWMHQAAcEz2PhW7cuXK4cOHL126tEOHDnq9vqSk\nJCMjQ6/Xb9++3c6V1IpgBwAAHJO9g11cXNz58+f379+fmZmp3hU7d+7cfv36ubq62rmSWhHs\nAACAY9LgcSfu7u5DhgwZMmRIUVGRn5+f/Qu4CdM1dgQ7AADgUOx9jZ259u3ba9h6rUzB7vp1\nTesAAAC4NVoGu0aKu2IBAIBj0uBUbFZW1pEjR0SkrKxsy5Yt6sLExETrP1VQUPDtt9/WXF5R\nUWG07Ze6+vqKTieKwowdAABwLBoEu4sXL+7YsUNESktL1RdSh2D317/+dcGCBRY/cnOz6V64\nuIiXl9y4wYwdAABwLDpFUbRqOzg4+PafSxwaGhoUFPTFF1/YpKSfNW8uubny2GOyerUtNwsA\nAO5UYWFhS5YsGT9+fIO2wjV2lvj6inCNHQAAcDBaBrtVq1Zp2Lo16v0TXGMHAAAcimbB7qOP\nPtq7d++oUaNEZN++feXl5VpVYoE6Y0ewAwAADkWbYLd69eoJEyYYDIZPPvlERNLT02fPnq1J\nJZYR7AAAgAPSJtgtW7bs2LFjKSkpnp6e6ttdu3ZpUollXGMHAAAckDbBztPTs2XLluZvNbw5\n1wKusQMAAA5Im2AXGBi4adMm09utW7eGhIRoUollnIoFAAAOSIMHFItISkrK0KFDn3766atX\nr7Zv376goGDnzp2aVGIZp2IBAIAD0ibY9erV6+zZs3v27MnPzw8NDR0wYIDBYNCkEsvUU7HF\nxWI0iguP+gMAAI5Bg9SyZcuWhQsXZmRkjBkzprS0dM2aNUuWLCkpKbF/JbVSZ+wURRpVVQAA\nAFbZO9i9+OKLM2fO/OKLLxITE+fOnfuPf/yjb9++n3zyybPPPmvnSqwxTR9eu6ZpHQAAALfA\n3qdiU1NTT5w4ERQU9O2330ZFRV26dCkoKGjGjBndu3e3cyXWmIJdUZE0qrs6AAAAaqfBqdig\noCARiYiICAgIUF/7+voajUb7V1IrP7+fXxQVaVoHAADALbB3sGvSpMnu3bsVRdmwYYOiKIcO\nHRKREydO+Kj3KzQSpmDHqVgAAOA47H0q9qWXXho2bNi1a9ciIiLS09NHjBgRHh5+9uzZNWvW\n2LkSa8xPxQIAADgIewe7/v37X7hw4fvvv4+JiXF3dz927NjBgwc7d+7co0cPO1diDTN2AADA\nAWnwHDuDwdClSxf1ddu2bdu2bWv/Gm6Ca+wAAIAD4um7lnAqFgAAOCCCnSV6vbi7i3AqFgAA\nOBKCXS3USTuCHQAAcBwEu1qol9lxKhYAADgOgl0tmLEDAACOhmBXiyZNREQKC7WuAwAAoK40\neNxJ/Rw9enTr1q01lxcVFfn6+tq+PX9/EYIdAABwJA4T7M6dO/f555/XXF5RUVFeXm779tRg\nV1Bg+y0DAAA0DMvBbv369ZMmTTJfsnDhwoULF9qjolqMHTt27NixNZeHhoY2UU+b2hbBDgAA\nOJrqwe7y5cuXL19evHhxz549TQuvXr26bNkybYOdvZlOxSqK6HRaVwMAAHBz1YPdwYMH58+f\n/91335m+9UtE3N3dk5KS7FuY1tRZwMpKKS6WhriGDwAAwNaq3xU7atSojIyMhIQExUx5efmG\nDRu0KE876oydcDYWAAA4DMuPO9myZYvpdXFx8Y0bN+xVT6NBsAMAAI7GcrDbvXv3xIkTRWTX\nrl2BgYEBAQHp6el2rUtzphsyCHYAAMBBWA52zzzzzNSpU0Vk3rx5a9euPXz48KJFi+xbmNaY\nsQMAAI7GcrArLS29++67f/rppx9++CE5Oblbt25FNvrW1MrKyo8//lhEjEbjunXrhg8fnpiY\nmJqaqiiKTbZvM6ZgxzOKAQCAg7D8HDuj0VhaWrp9+/ZBgwa5uLjY8CHAM2fOzMjIGDRo0MKF\nC9PS0iZOnGg0GhcsWJCVlfXcc8/ZpAnbYMYOAAA4GsvB7sEHH+zYsWNubu7OnTtFZNq0aQMG\nDLBJe5s2bcrMzBSRzZs379u3r02bNiIyefLk/v37N65gFxAgOp0oily9qnUpAAAAdWI52L3y\nyivx8fEhISHq0+zuueeehIQEm7Sn0+kMBoOIuLq6hoeHqwuDg4Pz8/Ntsn2bcXMTPz8pLJS8\nPK1LAQAAqBPL19iJSG5u7osvvjhgwICkpKQmTZqoaez2Pfjgg4888khOTs7kyZOXL19eVVWV\nn58/ffr0vn372mT7ttSsmYgQ7AAAgKOwHOxeeOGF5557LiIiIj4+Piws7A9/+MOrr75qk/ZW\nr17t4uLSpk2bV199dc6cOXq9PjAwMDs7e926dTbZvi01bSoinIoFAACOwvKp2M2bNx87diww\nMFB9++STT957771PPPHE7bdnMBjS0tJee+2106dP5+fn+/v7t2vXLjQ09Pa3bHtqsGPGDgAA\nOAjLwU5RFFOqE5Hg4OCqqipbNXno0KG0tLQzZ84UFxf7+vrGxsZOnjy5R48ettq+zainYpmx\nAwAADsLyqVh/f//t27eb3m7bti0gIMAm7a1atWrkyJHu7u4TJkyYNWtWUlKSiAwePDg1NdUm\n27clZuwAAIBDsTxj9/LLLz/00EP+/v4tWrTIzc0tKCjYsWOHTdpbsWLFgQMHOnfubL4wOTl5\nypQpycnJNmnCZtQZu/x8MRrFpda7TAAAABoJy8HuN7/5zfnz5z/++OOcnJyQkJCBAwfaasau\noKCgY8eO1Rb27NkzJyfHJtu3JXXGzmiUgoKfXwMAADRiloOdiAQEBCQmJtq8vaioqJUrV/7h\nD38wLVEUJSUlJTY21uZt3S51xk5Erlwh2AEAgMbPQrB7/vnne/XqFR8fr76dNWtWWFjYk08+\naZP2Vq5cOXz48KVLl3bo0EGv15eUlGRkZOj1evNL+hqLoKCfX+TmSvv2mpYCAABwc9WD3dq1\na996663hw4eblowbN+63v/1t69atR44cefvtxcXFnT9/fv/+/ZmZmepdsXPnzu3Xr5+rq+vt\nb9zGmjf/+cXly5rWAQAAUCfVg926dev+9re/xcXFmZbExcWtXr16xYoVNgl2IuLu7j5kyJAh\nQ4YUFRX5+fnZZJsNwnzGDgAAoNGrfrPn119/PXDgwGoLhwwZcurUKZu33b6Rn99s3lx0OhFm\n7AAAgGOoHux0Ol1hYWG1haWlpYqi2KukRsPDQ9QJRWbsAACAI6h+KrZ79+7btm17/PHHzReu\nW7fO/OTsbcrKyjpy5IiIlJWVbdmyRV140ztwN2zYsHLlyprLc3Nz3d3dbVVbdUFBUlhIsAMA\nAA6herCbPXt2UlKSoijjx49v0qTJlStX1q5du3jx4vfee89WTV68eFF93HFpaanpucc3DXbd\nunUbNWpUzeXffPONl5eXrWqrrnlzOXeOU7EAAMAh6GqeY123bt2zzz5bWFjo7e1dUlLSrFmz\n5cuXT5gwweZtBwcH3/5ziUNDQ4OCgr744gublFTdiBGSni5dukgDXGIIAADuHGFhYUuWLBk/\nfnyDtmLhOXaPPvpocnLy559/npeXFxQUFBcX5+np2aBFNF4hISIi2dla1wEAAHBzlr95wtvb\n+5577mnotletWtXQTdwuNdhdvSrl5eLhoXU1AAAA1mj23fYfffTR3r171cvm9u3bV15erlUl\n1qjBTlHk0iWtSwEAALgJbYLd6tWrJ0yYYDAYPvnkExFJT0+fPXu2JpXchBrshLOxAADAAWgT\n7JYtW3bs2LGUlBT16r1ly5bt2rVLk0pugmAHAAAchzbBztPTs2XLluZvG+kDkAl2AADAcWgT\n7AIDAzdt2mR6u3Xr1hBThGpUmjcXV1cRkYsXtS4FAADgJizfFdvQUlJShg4d+vTTT1+9erV9\n+/YFBQU7d+7UpJKbcHWVkBC5cEF+/FHrUgAAAG5Cm2DXq1evs2fP7tmzJz8/PzQ0dMCAAQaD\nQZNKbi4sjGAHAAAcgjbBTkT8/f3HjBkjIp06dTpz5oxWZdxcWJgcPkywAwAAjZ+9g13N74T9\n/vvv1YVbtmyxczF1EhYmIvLjj6IootNpXQ0AAECt7B3szpw5U15e/vjjj5u+pmz//v39+/e3\ncxm3QA12paVy5YoEBWldDQAAQK3sHexOnDjxxz/+cePGjevXr4+LixORl19+efr06XYu4xaE\nh//8IiuLYAcAABozez/uxMvL65VXXnn11VdHjx69YMGCiooKOxdwy9q2/fnF+fOa1gEAAHAT\n2jzHbsCAAcePH8/KyurTp08j/ZZYk8jIn18Q7AAAQOOm2V2xfn5+69ev3759++bNm7WqoU4M\nBmnWTK5ele++07oUAAAAa7SZsTMZNmzYO++8o20NNxcRISIEOwAA0MhpHOwcg3o29tw5resA\nAACwhmBXB1FRIiLffy+lpVqXAgAAUCuCXR1ER4uIGI1M2gEAgMaMYFcHMTE/vzh7VtM6AAAA\nrCHY1UH79j9/mVhmptalAAAA1Eqzx53cKqPRWFhYWHO5oigN3rbBIK1ayY8/ypdfNnhbAAAA\n9eUwwe5Pf/rTokWLNGs+NlZ+/FFOn9asAAAAgJtxmGD3zDPPDB06tObyBx54IMgOX+EaGys7\nd8rZs1JaKl5eDd4cAADArXOYYOfj4xMXF1dzubu7u069AK5BxcaKiFRWSkaGdOvW4M0BAADc\nOm6eqJvu3X9+ceyYpnUAAADUimBXN1FR4u8vInL0qNalAAAAWEawqxudTtQTwQQ7AADQWBHs\n6uzXvxYROX1aioq0LgUAAMACgl2d3XOPiEhVlXz6qdalAAAAWKDBXbGHDh1KS0s7c+ZMcXGx\nr69vbGzs5MmTe/ToYf9Kbs3dd4urq1RVycGD8sADWlcDAABQnb1n7FatWjVy5NGGsGcAACAA\nSURBVEh3d/cJEybMmjUrKSlJRAYPHpyammrnSm6Zn9/Pl9l98IHWpQAAAFhg7xm7FStWHDhw\noHPnzuYLk5OTp0yZkpycbOdibtl998mRI/LFF5KdLSEhWlcDAADwP+w9Y1dQUNCxY8dqC3v2\n7JmTk2PnSupDPQOrKLJzp9alAAAAVGfvYBcVFbVy5UrzJYqipKSkxKpf7dDI9eolLVuKiGzZ\nonUpAAAA1dn7VOzKlSuHDx++dOnSDh066PX6kpKSjIwMvV6/fft2O1dSHy4uMmKErFolH38s\nOTkSHKx1QQAAAP9l72AXFxd3/vz5/fv3Z2ZmqnfFzp07t1+/fq6urnaupJ7Gj5dVq6SyUlJT\n5emnta4GAADgvzR43Mnhw4e3bNli/rgTPz8/B3jciap3b+nYUb76StaskVmzxFHyKAAAuAPw\nuJNbN2OGiMh338m772pdCgAAwH/pFEWxZ3vt2rVLT0+v9riTw4cPT5ky5auvvqrHBkNDQ4OC\ngr744gsbFVgHJSUSESGXLkn79nL6tHh42K9pAADgmMLCwpYsWTJ+/PgGbYXHndw6b2+ZO1dE\n5OuvJSVF62oAAAB+xuNO6uWxx6RTJxGRP/1Jjh/XuhoAAAARHndST+7u8tZbcvfdUlYmw4bJ\nJ59I69Za1wQAAO50PO6kvn79a1m2TJ58Ui5ckL595b33pGtXrWsCAAB3NA0ed+Lu7j5kyJAh\nQ4YUFRX5+fnZvwCbmTlTfvpJli2TrCzp3Vuee06efFJ8fLQuCwAA3KHsfY2dufbt22vYum0s\nXSpLl4qbm5SWyvPPS+vW8uSTcuiQlJdrXRkAALjjaDBj52yeflr69pVHH5WTJ+XqVXnlFXnl\nFfHyki5dJCZG2raV4GBp0UL8/MTfXzw9f57S8/cXne6/G/HyEr1eqz0AAADOQYNgl5WVdeTI\nEREpKyvbsmWLujAxMdH6T33//fdHjx6tuby0tLSiosLmRd6aXr3k+HH55z9lzRo5cECqqqS0\nVI4eFUsFAwAAB+DvL7t2SZ8+WtdxazQIdhcvXtyxY4eIlJaWqi+kDsHuvffee/XVV2suv3bt\nWmBgoM2LvGUuLpKQIAkJkpsrH38sn30mJ0/KN9/ITz+J0ah1cQAA4BYVFMjRow4X7Oz9zRPm\ngoODb/+5xAkJCa1atbKY+RqFigq5fFmuXpWCArl+XYqLpaxMSkp+/rSwkNgHAEBjZDDI5Mni\n5WWr7dnnmye4xq6BubtLaKiEhmpdBwAAcH5a3hW7atUqDVsHAABwMprN2H300Ud79+595513\n3n333X379v3mN7/x8PCo36a+/PLLv/3tb7YqbO/evW5ubvUuBg2nrKwsPz8/ODhY60JgQU5O\nTtOmTfnFaYT4xWnMcnJyAgICPD09tS4E1ZWXl1dWVt5333023GZxcbENt1YbbYLd6tWrX3jh\nhbFjx77//vsikp6enp6e/te//rUem+rRo8cbb7zx0ksv2aq27777zsXFxcVFy7lMWGQ0Go1G\no5sb1w80RpWVlfziNE784jRm/OI0WuovzhdffGHDbQYFBdnjCb6KFtq0aXPx4kVFUVq3bq0o\nSmlpaWRkpCaV1BQaGpqWlqZ1FbDgjTfeaDzHCaoJDw/fuHGj1lXAgvXr17dp00brKmBZ27Zt\n33rrLa2rgAV///vfw8LCtK6iPrT5X4Knp2fLli3N3yra3ZwLAADgHLQJdoGBgZs2bTK93bp1\na0hIiCaVAAAAOA1trrpISUkZOnTo008/ffXq1fbt2xcUFOzcuVOTSgAAAJyGNsGuV69eZ8+e\n3bNnT35+fmho6IABAwwGgyaVAAAAOA0Ngt2hQ4fS0tLOnDlTXFzs6+sbGxvbsmXLHj162L8S\nAAAAZ2Lva+xWrVo1cuRId3f3CRMmzJo1KykpSUQGDx6cmppq50oAAACcjL1n7FasWHHgwIHO\nnTubL0xOTp4yZUpycrKdi7Fo5MiR1cpDI9G1a9dhw4ZpXQUsGzFiRJcuXbSuAhbExsYOHz5c\n6ypg2fDhw2NjY7WuAhZ06dJlxIgRWldRHzo7P2ckMDDw8uXL1R7GWFlZ2bx587y8PHtWAgAA\n4GTsfSo2Kipq5cqV5ksURUlJSeG/LAAAALfJ3jN2n3/++fDhwxVF6dChg16vLykpycjI0Ov1\n27dv79Spkz0rAQAAcDL2DnYiUlFRsX///szMTPWu2E6dOvXr18/V1dXOZQAAADgZDYIdAAAA\nGoI2XykGAAAAmyPYAQAAOAmCHQAAgJMg2AEAADgJgh0AAICTINgBAAA4CYLdfx0/fvyuu+4K\nDAxs167dmjVrtC7nznXkyJHf/OY3TZs2bdWq1cKFC9WFFkeHIdNEaWlphw4dEhMT1bcMTSNx\n7dq1CRMmNG3aNDAwcMaMGVVVVcLoNA6HDh3q3bt3TExMx44dX3rpJXUhQ6OtjRs3+vv7v/DC\nC6YldR+Rxj5MChRFUZTy8vKwsLAVK1ZUVVWdOnWqWbNmhw4d0rqoO1FhYWHTpk3Xrl1rNBoz\nMjKaNWu2detWi6PDkGnliSeeaNu2bUJCglLLLw5Do4nx48ePGTPm+vXrOTk5AwcO/Oijjxid\nxuDatWtNmjTZuXOnoiiXL18ODQ199913GRptzZgxIzExsV+/fosXL1aX1H1EGv8wEex+tnfv\n3tDQUNPbmTNnTp06VcN67li5ublvvvmm6e1DDz30wgsvWBwdhkwT+/bt69y588svv6wGO4am\nkcjPz/fw8Pjpp5/MFzI6jcHp06ddXFyMRqP6dtiwYQsWLGBotHXkyBFFUYYNG2YKdnUfkcY/\nTJyK/VlmZmaHDh1Mb6Ojo8+cOaNhPXeswMDAyZMnq69zc3P/85//DBo0yOLoMGT2V1RUNHXq\n1A0bNnh6eqpLGJpG4tSpU4GBgampqTExMdHR0X/605+MRiOj0xhER0e3bds2LS1NRH744Ydj\nx47dd999DI22evbsWW1J3Uek8Q8Twe5nxcXFer3e9Nbb27u4uFjDepCbm/vQQw9Nmzatd+/e\nFkeHIbO/J554Yty4cXFxcaYlDE0jkZ+ff/nyZUVRvvrqq127dm3YsOH1119ndBoDd3f39evX\nP/HEE4GBgRERERMnTuzTpw9D09jUfUQa/zAR7H7m6+tbUlJienv9+nVfX18N67nDnTx5sk+f\nPqNGjVq0aJHUMjoMmZ299957p06dmjdvnvlChqaR8Pf31+l0s2fPdnFxiYyMnDhx4u7duxmd\nxuC7774bMWJEenr6lStXcnJyPvrooxUrVjA0jU3dR6TxDxPB7medOnXKyMhQFEV9++WXX8bG\nxmpb0h3r+PHjv/3tb//6178+9dRT6hKLo8OQ2dnbb7+dnZ0dFRXVpk2bBQsW7N69u1OnTgxN\nIxEZGVlZWVlUVKS+VRTFzc2N0WkMDh48GB4e3rdvXxEJCgoaNmzY3r17GZrGpu4j4gDDpMWF\nfY1RRUVFZGTkyy+/XFlZeeTIEX9//6NHj2pd1J2opKQkIiJix44d5gstjg5DpqHXXntNvXmC\noWk8fvvb306bNq28vDwrKysiImLDhg2MTmNw9OhRvV5/8uRJRVGKi4v79ev3xz/+kaFpDMxv\nnqj7iDT+YSLY/dfp06d/85vf+Pv7t2/ffuPGjVqXc4d69913RcTTzNixY5VaRoch04op2CkM\nTaORl5c3bNiwJk2ahIeHL1iwQL0Nk9FpDN54441OnTq1a9euXbt2jz32WHFxscLQaEr94+Li\n4uLm5ubp6TlixAjlVkakkQ+TTvllOhEAAAAOjWvsAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJ\nEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDs\nAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAA\nAJwEwQ6Ak+jdu/fLL7+svn733XcvX758O1szbeHChQs6ne769es2KBEAGhjBDoATmj9//m0G\nO9MWWrZsmZ2d7ePjY6PSAKABEewAOJvExMTMzMyhQ4euX79eRI4dO3bPPfdER0dHRka+/vrr\nInLhwgU3N7eVK1c2b948MzPzgw8+6N69e0RERJs2bV555ZVqW/jpp59CQkKKi4tF5JNPPund\nu3d0dHTHjh0XLVpkNBovXrzo4uKSmpo6fPjwrl27Dh8+vKyszGg0Pvnkk5GRkVFRUV27dt27\nd6+2HQLgzuGmdQEAYGNbtmzR6XTvvfde586dCwoK4uPjly1blpyc/NNPP8XFxUVGRnbp0qWq\nqio7OzsnJ6eysrJ3795vvvlmQkLCyZMn4+Li7rvvPvMtXLhwQd1sfn7+Qw899Oabb44cOTI3\nN7dHjx6RkZFDhgxRFOXHH39MT0+vqqrq0KHD1q1bAwMD09PTv/rqK71e/+mnn/7tb3+77777\ntO0TAHcIZuwAOLM9e/bodLrk5GQRadmyZVJS0jvvvKPT6URk3LhxLi4uHh4eP/zww4gRI0Sk\na9euLVu2/Oabbyxu6uOPPw4MDBw5cqSIBAUFjRs37v3331c3NWbMGBFxdXWNjo7+4YcfgoOD\nr1y5smHDhuzs7Lvvvnvjxo12218AdziCHQBnlp+fn5eX1+YXb7/9dn5+vvpRUFCQ+uLtt9/u\n27dvr169evfuffnyZaPRaHFTOTk5ph8RkWbNml26dEl97efnp75wdXWtqqqKjY3dsWPH/v37\nO3Xq1L179927dzfU7gHA/+JULABn1qpVq9atW3/99dfmC69cuSIi6mTbhx9+OG/evKNHj0ZE\nRIhISEhIbZsKCQkxvyEjNzfXysr9+vXr169fZWVlampqQkLClStXvL29b393AMA6ZuwAOCF3\nd/e8vDwR6d+/f0FBwfbt20WkrKzsD3/4w759+8zXzM7ODgwMbN26tYisXLmyuLhYfbKJaQsm\nAwcOzMvLS09PF5FLly69/fbbiYmJFlvfsGHDI488UlFR4ebm1r1796qqKjVEAkBDI9gBcEJJ\nSUkPPPDAwoULDQbDjh07li1b1q5du06dOlVVVd19993mayYkJERGRrZr165Hjx6+vr6PP/74\n9OnTDxw4YNqCac2AgID333//pZde6tChw8CBA5944gn1eruaEhISysvLIyMjIyMjk5OT33nn\nHb1e36D7CwAqnaIoWtcAAAAAG2DGDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDs\nAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAA\nAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACc\nBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATB\nDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4A\nAMBJEOwAAACcBMEOAADASRDsAAAAnATBDgAAwEkQ7AAAAJwEwQ4AAMBJEOwAAACcBMEOd6K3\n3367X79+LVq0cHd3b9GixbBhw06ePGnzVlq1aqXT6fbs2WPzLd9mE+Xl5a+99lqfPn38/f29\nvb1jYmKmT5/+/fff26SkRx55RKfTTZ8+/XYqrDt/f3/dL7y9vTt27PjUU09duHChgZrTRElJ\nyZIlS371q1/5+vp6eXlFR0e/+OKL165dc75GAdiAAtxhli1bph78cXFxAwcODAgIEJGmTZt+\n99136grnz58XkTVr1txmQ6GhoSKye/fu263YTLXapkyZMmzYsOPHj9d9C9evX7/77rvVHtDr\n9X5+furrpk2b3tJ2ajNlyhQR+b//+796V1iTlRFp0qSJiLRo0SIyMtJgMKj7EhAQ8Omnn95O\niw2hfsdVQUFBt27d1P3y8fHx8fFRX3fv3r2goKCB6mm4RgE0NGbscMf585//LCJ/+9vfjh07\n9vHHH3/77beRkZF5eXmbNm1SV/jHP/6haYHWVKvtjTfeSE9PN/0Nrou5c+d++umnnp6ea9eu\nLSoqKiwsPHbsWHR0dF5e3tSpU21db30qrOmmI/LKK6+cO3euqKjo5MmT3bp1y8/PT0hIKCkp\nuZ1Gba5+x9WcOXNOnDjh7e2dlpZWVFR07dq1/fv3h4SEHD9+XD2SG6KehmsUQIPTOlkCdlVV\nVeXq6ioi6enppoU//PDD5cuX1dddu3Y1/Xa4urqqC996661u3bp5eXn5+fnde++9//rXv0w/\nazQaU1JSoqOjPT0927VrN3/+/Bs3bqgfqTN2O3funD59epMmTQICAhYvXmz6weLi4meffTYy\nMlKv13fo0GHdunWmjy5cuDBx4sSwsDBPT8+2bdvOnTu3vLzcYm3mk4JWKjEpKSnx9vYWkQUL\nFpgvP3nyZGJi4tatW6uqqhRFUWcxP/jgg9jY2NDQUOvV5uXljR492sfHp0WLFosXL37kkUfE\nbMbOvMLKysoXX3yxY8eOer0+MjJy9erVpo2oLR45cmTChAkGg8G8ryyOiIk6Y7d582bTkosX\nL+r1ehF5/fXXrTdaWz9b78yG2IvamMbrL3/5i/nyDz744OGHH965c6f61srxWfdjyYaNWumH\nPn36VDv8hg8fLiIzZ86sS9+aH5NXrlwZNWqUj49P8+bNFy1aNH/+fBGZOnXq7QyTUt+hBxoP\ngh3uOOrsUUBAwPz58z/99FPT33LV8uXLW7VqJSL33nvvM888oy4REU9Pz9GjRw8cOFBEPDw8\nTH/G5syZIyJNmzZNTk5u166diIwfP179SM00gwYNCg8Pj4yMVP+Ivvfee+qnycnJItK9e/fZ\ns2erp7q2bt2qftSrVy8RGTp06KxZs3r27Ckijz/+uMXazGOTlUpMDh8+rJZx/vx5K10UHBws\nIrGxsZ06dRoxYoT1aseOHSsigYGB06ZN69ixY0hISG3BbsaMGSISGRk5b968mJgYEVm/fr26\nmvpTsbGxiYmJ48ePN++rmnttrmawUxRlxIgRIpKUlGS90dr62XpnNsRe1MY0XllZWbWtY/34\nrPuxZMNGrfTDihUrRKRHjx7qmqWlpb6+viJy+PBh631b85hMSEgQET8/v3HjxrVr1y4iIsJ8\nBOs3TEp9hx5oPAh2uOMcPny4WbNmpukKHx+fkSNH/vvf/zat0K9fP/nl2qPCwkJ/f3/z6DBu\n3Dg1rimKcvXqVU9PTxH58MMPFUXJzs729PR0c3P74YcflF8yzV133VVWVlZRUREXFycijz76\nqKIoxcXFnTt3jo6OPn36tKIoTzzxhIiMGzdOUZSioiK1qoqKCkVRrl+/PmfOHNPfD/PaFLPY\nZL0Sk3/+85/qDI268dqomx04cKA6gWel2tzcXHd3d1N0KyoqUqdDaga7nJwcda70888/VxTl\nm2++0el0kZGR5quNHj1afRsfH2/qq5p7bc5isJs9e7aI9O/f30qjVvrZSmc20F7UxjRelZWV\nFlewfnze0rFkq0at98OPP/6o3uly6dIlRVF2794tIq1bt1YUpS59azomL126pK68bds2RVHy\n8/PVI0E98Oo9TPUeeqDx4Bo73HF69+59/vz5tWvXDh8+vFmzZsXFxdu2bbvnnnvee++9miuf\nPHmyoKDAxcUlMTFRXaK+OH78uIh89tlnZWVl7u7u6qRFcHBwaWlpRUVFeHi4aQtTpkzx8PBw\nc3O7//77RSQ7O1tEvL29T58+nZmZ2aFDh9LSUnUK4eLFiyJiMBhCQ0OLi4u7dOkye/bs/fv3\nP//88xMnTrS+U3WpxET95Vdfr127VmfmnXfeMa2WlJTk4uJivdqMjIyKigoXF5fBgwerxd93\n330WKzx69GhVVZWHh0dQUNCFCxe8vLxatGjx7bffXrp0ybTO0KFD1RdqCFb7qh7UmzddXV2t\nNGqln610pj33QkR0Op3873hVY/34rN+xdJuNmljsh1atWvXu3Vv5JdK9//77IjJ69Gip2xFi\nOiYzMzOrqqp0Op0ay/z9/c0PvHoP020OPdAYEOxwJ/Lz83v00Uf/+c9/5ubm7t+/PyYmpqqq\n6oUXXqi5pvrgDH9/fzc3N3VJ06ZNRSQ/P//GjRv5+fkiYjAY1D82FqkxSETUU05VVVXq21Wr\nVkVFRXl6eur1+j/+8Y8iYvo7umXLlo4dO2ZmZqakpDz00EPh4eHp6enW96gulYiIOldhNBpN\nDzdp0aJFr169evXqZbql1EQ9+WW92itXrqi7pk5miIg6l1NTQUGBiJSXl4eHh4eFhYWFheXk\n5Mj/5h61b0XEy8tLzPrqVn399dciEh4ebr3R2vrZSmc2xF78/e9/d/vFww8/bP6RerbUaDT+\n+OOP1X6qoqJCbnZ8WtlHK26/Uev98Lvf/U5Edu3aJSI7duwQkTFjxkjd+tZ0TF69elVEDAaD\nOmFs3lwdN2WxvNsceqAxcNO6AMCusrKyDh48WFZWpl7jr9Pp+vfvv2DBgrFjx6pPf6hGPbFY\nWFhouuvi8uXLIqLX6728vNTQVlRUZPr0ypUrlZWVAQEB6gkd+WX+o5oPP/xw+vTper3+jTfe\naN++/ebNm1euXGn6tHfv3mfOnDl79uzBgwe3bdu2d+/epKSk3Nxc01MnaqpLJSISGxvr5+dX\nVFT0+uuvL126VERGjBihXpHWv3//gwcPmm/TlNWsVKv2z/Xr1ysrK9U/82rUq0kNfN7e3tVu\nxgwLC6ttp+rnq6++Undk8ODBalqtrdHa+tlKZzbEXhiNRlPoqZYCY2Nj/f39CwoKUlNT1ZsD\nVHv27Jk0adK0adPUS+hqOz6t7KOVY+n2G7UuMTFx1qxZH3zwweeff56VlRUVFaVe9lqXvq32\n/wfzA0+Neuaf1mOY7Dz0QENgxg53lq+++mrChAmPPfaY6cRrRUXF3r17RaRt27bqEjWKXb9+\nXUR69+6t1+urqqq2bdumfrp161YRGTBggE6n69Kli5eXV2VlpbqFvLy88PDwkJAQixnR3JEj\nR0Ska9euEydOvOuuu7KyskTEaDSKyLfffrt48eKNGzdGR0f//ve/37NnT/PmzW/cuKFeL2Ve\nm7k6VuLp6fn73/9eRFasWLFy5crKykoRKS4ufvvtt8+cOVOPamNiYlxdXY1Go3pm7cqVK7U9\ni7hnz56urq4lJSWRkZHx8fH33ntvXl6eiKiXRllX217XdO7cufHjxxuNxrZt2yYkJFhp1Eo/\nW+nMhtiLiRMnmi6OSUtLM//I3d192rRpIvLnP/9548aNap8fOnRo8uTJOTk5OTk51o/P+h1L\nt9noTftBPRtbUFAwd+5c+WW6Tm7xCImOjnZxcTEajTt37hSRvLw8dbDqsSlzDTT0gF3Z84I+\nQHNVVVXqRTki0rJlyy5duqj/Lru4uJhui1OvBA8ODp4yZUpRUdHixYtFxNvbe8KECYMGDVJf\nnzhxQl1ZPS8ZEBAwadIk9Ua5hIQE9aNqDyhesmSJiDz44IOKoqiXsrm7u8+ePTs+Pl69jN3H\nx2fp0qXZ2dk+Pj5ubm6TJk2aM2fOsGHDRKRnz54WazNvwkol5oqLi00PKPbx8QkJCTHNgsTH\nxxcWFtas3Eq1iqKoFfr7+z/88MORkZHVbk4039Sjjz4qIq1atXr88cfVOzTj4+Nv2lc199p8\nd8wfUBwWFqYGi4CAgKNHj6or1Nao9X620pkNsRdWlJSU3HPPPabxMp0xj4uLu3btmqIoVo7P\nWzqWbNXoTftB+eXeWNWXX35pWl73vlUU5aGHHhIRg8EwZsyYiIiINm3aiNldO/UepvoNPdB4\nEOxwxyktLX311Ve7d+/u7e3t5uamfqXYwYMHTSucPHkyJibG3d09IiJCDTrr1q3r3Lmzh4dH\nkyZN4uPjTX/AFEWprKxcvHhxRESEp6dnVFTUc889V1xcrH5k5e9HVVXVjBkzmjVr5ufnN2nS\npGvXriUnJ3t4ePTq1UtRlKNHj95///0BAQEeHh6tW7d+7LHH1FsIa9ZW7SlxtVVSTVlZ2fLl\ny3v27GkwGLy8vNq0aTN27Nhdu3aZVqhWufVqc3JyHnjgAS8vr5YtWy5ZskT9uzhlypSam6qo\nqHj++efDw8PVbn/qqaeuX79+076yOCIm5vMlrq6urVq1mjp1qulLRKw3aqWfrXRmQ+yFdep4\n9ejRw2AweHh4REdHL1mypKSkxLSCleOz7seSDRu9abBT740Vkc6dO5s3Wve+VRQlOzvbdOD9\n5S9/Ub/yRH0e3i1tqlp59Rt6oPHQKbXc9wQAQKN16tSp7Ozsbt26NW/eXER+/etfHz169LXX\nXjN9TzFwZyLYAQAcz4MPPrhr166oqKj777//66+/3rt3b5s2bU6dOlXz/m7gjkKwAwA4nqKi\nonnz5m3fvv3SpUvBwcH9+vVbtGhR69atta4L0BjBDgAAwEnwuBMAAAAnQbADAABwEgQ7AAAA\nJ0GwAwAAcBIEOwAAACdBsAMAAHASBDsAAAAnQbADAABwEgQ7AAAAJ0GwAwAAcBIEOwAAACdB\nsAMAAHASBDsAAAAnQbADAABwEgQ7AAAAJ0GwAwAAcBIEOwAAACdBsAMAAHASBDsAAAAnQbAD\nAABwEgQ7AAAAJ0GwAwAAcBJuWhdwu1JTU99//32tqwAAALDGxcVl4cKFMTExDdqKvYNdZWXl\nwYMHBw0aZDQaX3/99d27d7u5uQ0bNmz8+PE6na4eG0xPT//666/vuusum5cKAABgK5s2bYqP\nj3e2YDdz5syMjIxBgwYtXLgwLS1t4sSJRqNxwYIFWVlZzz33XP22OXDgwFdffdW2dQIAANjQ\nrl277NCKvYPdpk2bMjMzRWTz5s379u1r06aNiEyePLl///71DnYAAAAQMjwBeQAAIABJREFU\n+988odPpDAaDiLi6uoaHh6sLg4OD8/Pz7VxJbQoLZc8eqajQug4AAIBbZO9g9+CDDz7yyCM5\nOTmTJ09evnx5VVVVfn7+9OnT+/bta+dKajN+vDzwgMybp3UdAAAAt8jewW716tUuLi5t2rR5\n9dVX58yZo9frAwMDs7Oz161bZ+dKavPDDyIi585pXQcAAMAtsvc1dgaDIS0t7bXXXjt9+nR+\nfr6/v3+7du1CQ0PtXIYVHh4iIuXlWtcBAABwizR4jt2hQ4fS0tLOnDlTXFzs6+sbGxs7efLk\nHj162L8Si9zdRYRr7AAAgOOx96nYVatWjRw50t3dfcKECbNmzUpKShKRwYMHp6am2rmS2jBj\nBwAAHJS9Z+xWrFhx4MCBzp07my9MTk6eMmVKcnKynYuxiBk7AADgoOw9Y1dQUNCxY8dqC3v2\n7JmTk2PnSmrDjB0AAHBQ9g52UVFRK1euNF+iKEpKSkpsbKydK6kNM3YAAMBB2ftU7MqVK4cP\nH7506dIOHTro9fqSkpKMjAy9Xr99+3Y7V1IbZuwAAICDsnewi4uLO3/+/P79+zMzM9W7YufO\nnduvXz9XV1c7V1IbZuwAAICD0uBxJ+7u7kOGDBkyZEhRUZGfn5/9C7COGTsAAOCg7H2Nnbn2\n7dtr2HptmLEDAAAOSstg1zgxYwcAAByUBqdis7Kyjhw5IiJlZWVbtmxRFyYmJlr/qd27d69f\nv77m8gMHDnTo0MGG5TFjBwAAHJQGwe7ixYs7duwQkdLSUvWF1CHYubm5BQQE1FxeVlZm22fg\nMWMHAAAclAbBrk+fPn369BGRPXv2bNiwoY4/NXjw4MGDB9dcvmPHDl9fXxuWx4wdAABwUFxj\nV50p2CmK1qUAAADcCi2D3apVqzRsvTbqqVhh0g4AADgazYLdRx99tHfv3lGjRonIvn37yhvN\nRW3qjJ0Q7AAAgKPRJtitXr16woQJBoPhk08+EZH09PTZs2drUklNphm7RhM1AQAA6kSbYLds\n2bJjx46lpKR4enqqb3ft2qVJJTUxYwcAAByUNsHO09OzZcuW5m+VRnOrAjN2AADAQWkT7AID\nAzdt2mR6u3Xr1pCQEE0qqYkZOwAA4KA0eI6diKSkpAwdOvTpp5++evVq+/btCwoKdu7cqUkl\nNTFjBwAAHJQ2wa5Xr15nz57ds2dPfn5+aGjogAEDDAaDJpXUxIwdAABwUBqcit2yZcvChQsz\nMjLGjBlTWlq6Zs2aJUuWlJSU2L8Si5ixAwAADsrewe7FF1+cOXPmF198kZiYOHfu3H/84x99\n+/b95JNPnn32WTtXUhtm7AAAgIOy96nY1NTUEydOBAUFffvtt1FRUZcuXQoKCpoxY0b37t3t\nXEltmLEDAAAOSoNTsUFBQSISEREREBCgvvb19TUajfavxCJm7AAAgIOyd7Br0qTJ7t27FUXZ\nsGGDoiiHDh0SkRMnTvj4+Ni5ktowYwcAAByUvU/FvvTSS8OGDbt27VpERER6evqIESPCw8PP\nnj27Zs0aO1dSG2bsAACAg7J3sOvfv/+FCxe+//77mJgYd3f3Y8eOHTx4sHPnzj169LBzJbVh\nxg4AADgoDZ5jZzAYunTpor5u27Zt27Zt7V+DFQQ7AADgoLT5SrHGzHSxX3GxpnUAAADcIoJd\ndU2a/PyisFDTOgAAAG4Rwa46X19xcxMh2AEAAEdDsKtOpxM/PxGRggKtSwEAALgVBDsL1LOx\nzNgBAADHQrCzwN9fhBk7AADgaAh2FjBjBwAAHBHBzgJm7AAAgCPS4AHF9fPmm29a/Nqx3Nxc\nNzcb7wUzdgAAwBE5TLDr3bv3lStXai7/5ptvvL29bdsWM3YAAMAROUyw69SpU6dOnWou/+tf\n/+rp6WnbttQZu6IiMRrFhZPVAADAQRBbLFBn7IxGzsYCAABHQrCzICjo5xeWzv0CAAA0UgQ7\nC0zBLjdX0zoAAABuBcHOAoIdAABwRAQ7Cwh2AADAEVkOduvXr6+2ZOHChQ1eS6NBsAMAAI6o\n+uNOLl++fPny5cWLF/fs2dO08OrVq8uWLbtzsp2Xl/j6yvXrBDsAAOBIqge7gwcPzp8//7vv\nvuvSpYtpobu7e1JSkn0L01hQEMEOAAA4mOqnYkeNGpWRkZGQkKCYKS8v37Bhg03aq6ys/Pjj\nj0XEaDSuW7du+PDhiYmJqampiqLYZPu2op6N5XEnAADAgVj+5oktW7aYXhcXF7u4uOj1epu0\nN3PmzIyMjEGDBi1cuDAtLW3ixIlGo3HBggVZWVnPPfecTZqwCb4uFgAAOBzLN0/s3r174sSJ\nIrJr167AwMCAgID09HSbtLdp06a3335bRDZv3rxv37758+cvXLjwwIEDb775pk22byt+fiIi\nRUVa1wEAAFBnloPdM888M3XqVBGZN2/e2rVrDx8+vGjRIpu0p9PpDAaDiLi6uoaHh6sLg4OD\n8/PzbbL9/2fvzgOqqvP/j7/ZvSwKelEQJWURFcRJcNSycElt3EClyVQc05ysr2aZbeakpY1p\nklZimntQOT+XwXKjTM1vfS23ciGwRUdSQVBA9BL7+f1xmjsMXgHxcs+91+fjr3M+Xj6f9z2f\nS7z6nOWaC8EOAADYHNPBrqSk5N5777148eK5c+cSEhLuvvvuIjNlnCFDhjz22GM5OTkTJ058\n6623KisrCwoKpk6dev/995ulf3Mh2AEAAJtjOthVVVWVlJRs27atf//+jo6O5eXlZWVlZhlv\n+fLljo6O7dq1e/vtt1966SWdTqfX67Ozs1euXGmW/s1FDXbXromV3dQBAABwU6ZvnhgyZEjn\nzp3z8vJ27NghIlOmTOnbt69ZxvPy8kpJSXn33XdPnjxZUFDg7e0dEhISEBBgls7NyMtLRKSq\nSgwG8fTUuhoAAIB6MB3sli5dOnToUH9/f/Vpdvfdd9+oUaPMNeSBAwdSUlLS09MNBoOnp2dk\nZOTEiROjo6PN1b9ZqMFORIqKCHYAAMA23PS7YvPy8l5//fW+ffuOGTOmWbNmXsakc3uSkpJG\njhzp4uIyfvz4GTNmqM89HjBgQHJysln6Nxf1VKxwmR0AALAdplfs5s+fv3bt2jFjxnTv3j03\nN/epp57KysqaPn367Y+3ZMmS/fv3R0REVG9MSEiYNGlSQkLC7fdvLgQ7AABgc0wHu48//vjI\nkSN6vV7dfeaZZx544AGzBLvCwsLOnTvXaOzevXtOTs7td25GBDsAAGBzTJ+KVRTFmOpExM/P\nr7Ky0izjhYaGLlu2rMZYiYmJkZGRZunfXAh2AADA5phesfP29t62bVtsbKy6u3XrVh8fH7OM\nt2zZsri4uEWLFnXq1Emn0xUXF2dkZOh0um3btpmlf3NRv1JMRDZulJEjNS0FAACgfkwHu8WL\nFw8bNszb27tVq1Z5eXmFhYXbt283y3hRUVFnzpzZt29fZmamelfsrFmzYmJinJyczNK/ufj6\nirOzVFTIpk3y008SGqp1QQAAAHUxHex69+595syZL774Iicnx9/fv1+/fuZasRMRFxeXgQMH\nDhw4sKioqKnxlKeV8fSUpCR5/HERkePHCXYAAMAGmA52IuLj4xMfH9+oY3fo0MHa7pmoLiFB\nnnxSKivl+HFp5CMBAABgBiZunvjb3/5W/cTrjBkzlixZYsGSrIVOJyEhIiLHj2tdCgAAQD3U\nXLFbsWLF2rVr4+LijC1jx44dPHjwXXfdNdJMNxFkZWUdOnRIREpLSzdv3qw21rk6+Prrr8+e\nPdssBdRfhw5y+rScP2/hYQEAABqiZrBbuXLl+++/HxUVZWyJiopavnz5kiVLzBXsLly4oK4I\nlpSUGJcG6wx2jz/+eI8ePW5sHz16dPPmzc1S2I08PEREiosbqXsAAABzclAUpfq+h4fH5cuX\ndTpd9cZr1661adPm6tWr5h3bz8/v9q+xCwgI8PX1/f77781SUg2TJsnatdK2rWRlNUb3AADg\nTtG2bdsFCxaMGzeuUUepeY2dg4PDjQGupKSkRv67Q7i7i7BiBwAAbETNYNetW7etW7fWaFy5\ncmX1k7PmkpSUZPY+zYtgBwAAbEjNYDdz5sznn38+KSlJXbe7fPny/Pnz582b9+KLL5p34D17\n9qSlpT300EMisnfv3rKyMvP2bxbqGemSErkj1ysBAICNqRnshg8fnpiY+PLLL3t7e3t4ePj6\n+i5dunTVqlWDBg0y46jLly8fP368l5fXV199JSKpqakzZ840Y//moq7YKYr89pvWpQAAANTF\nxAOKH3/88YSEhKNHj+bn5/v6+kZFRbm5uZl31DfffPPIkSOtW7fesmWLuhseHv7OO++Yd5Tb\npwY7ESku/s82AACAdTL9zRPu7u733Xdf443q5ubWunXr6rvWeXOG8eZgLrMDAADWz8Q3T1iA\nXq//8MMPjbtbtmzx9/fXpJLaVV+xAwAAsHI3/a7YRpWYmDh8+PDnnnvuypUrHTp0KCws3LFj\nhyaV1I5gBwAAbIg2wa5Hjx6nT5/evXt3QUFBQEBA3759vby8NKmkdgQ7AABgQ7QJdiLi7e09\nevRoEQkPD09PT9eqjNoR7AAAgA2xdLC78Tth//Wvf6mNmzdvtnAxdSLYAQAAG2LpYJeenl5W\nVvbkk08aH6Gyb9++Pn36WLiMeiLYAQAAG2LpYPfdd9+9+OKLGzZsWLdunfo1ZYsXL546daqF\ny6gngh0AALAhln7cSZMmTZYuXfr2228//PDDc+bMKS8vt3ABt4RgBwAAbIg2z7Hr27fvsWPH\nsrKyevXqZZ3fEqvy8Ph9w2DQtA4AAIB60Oyu2KZNm65bt27btm0ff/yxVjXUqUkTadpUiook\nJ0frUgAAAOqizYqdUWxs7MaNG7WtoXZt2oiI/Pqr1nUAAADUReNgZ/3athUh2AEAAFtAsKsD\nwQ4AANgKgl0d1FOxublSWqp1KQAAALUi2NVBXbFTFLlwQetSAAAAakWwq0NIyO8bmZma1gEA\nAFAXgl0dIiJ+30hP17QOAACAuhDs6tC8ufj7ixDsAACA1dPsAcW3qri4OCMj48b28vJyRVEa\ndeiICMnOlhMnGnUQAACA22Uzwe6NN96YN2+eyX9ydm7cdxEZKZ9/Lj/8IGVl4uraqEMBAAA0\nnM2cip0zZ06+Kf7+/i1btmzUoe++W0SktJSzsQAAwKrZzIqdk5OTj4/Pje0ODg6NPXRU1O8b\nx479HvIAAACskM2s2GmoQwdp1kxE5J//1LoUAACAmyPY1c3RUcaOFRHZuVNOn9a6GgAAgJsg\n2NXL9OkiIooiS5fy3WIAAMBKEezqpUMH6d5dRGTFCvnDH+Tbb7UuCAAA4AYEu/p66ilR79PI\nzJThw7WuBgAA4AYEu/oaN06ys2XSJBGR3Fy5elXrggAAAP4bwe4WtGolffr8vp2drWUlAAAA\nN9LgOXYHDhxISUlJT083GAyenp6RkZETJ06Mjo62fCUNoH5vrIjk5EjHjpqWAgAA8N8svWKX\nlJQ0cuRIFxeX8ePHz5gxY8yYMSIyYMCA5ORkC1fSMMZgx4odAACwNpZesVuyZMn+/fsjIiKq\nNyYkJEyaNCkhIcHCxTQAwQ4AAFgtS6/YFRYWdu7cuUZj9+7dc3JyLFxJw3h7S5MmIiI2Ui8A\nALiDWDrYhYaGLlu2rHqLoiiJiYmRkZEWrqRhHBzEz09E5JNPJD9f62oAAACqsfSp2GXLlsXF\nxS1atKhTp046na64uDgjI0On023bts3ClTTYoEGycqWcPi0zZsj69VpXAwAA8G+WDnZRUVFn\nzpzZt29fZmamelfsrFmzYmJinJycLFxJgyUlyfnzsmOHfPCBeHvLggWi02ldEwAAgCaPOzl4\n8ODmzZurP+6kadOmtvK4ExFxcpLlyyU8XK5fl7ffluBgmTZN65oAAAB43EnDBAbKmjXi6Ski\nsmOH1tUAAACICI87abA//1n27pWVK+XLL8VgEA8PrQsCAAB3PB530nBDhoiIlJTIrl1alwIA\nAMDjTm7HgAHStKmIyKJFcuWK1tUAAIA7Ho87abgmTSQ+XtaulcOHJThYZs+WmTO1rgkAANzB\neNzJbXn7bbl+Xf7f/5OrV+Wll6SyUp5/XhwctC4LAADckTR43ImLi8vAgQMHDhxYVFTUVD2X\nabM8PeWjj6RXL3n+eSkvlxdflEOHZPFiad9e68oAAMCdx9LX2FXXoUMHDUc3FycnefppWb1a\nAgJERLZulZ495f33paBA68oAAMAdRoMVO7s0frxER8u0abJ3r+TmyuOPy9Sp4ukpzZtLWJiE\nhYm3t7RsKY6OIiJeXqLXS8uW4uUlIuLoKM2a1ezQzU3c3S39LgAAgE3TINhlZWUdOnRIREpL\nSzdv3qw2xsfH1/5T586dU3+qhpKSkvLycrMX2QCdO8sXX8i6dfLUU3L9upSXS0GBFBTIL7/I\nzp1aFwcAAG6Ft7fs3Cm9emldxy3SINhduHBh+/btIlJSUqJuSD2CXWpq6quvvnpje1FRkV6v\nN3uRDfboozJunOzdK199JZcvy4ULcvasZGVJUZHWlQEAgHorLJTDh20v2DkoiqLV2H5+frf/\nXOJRo0a1adPm7bffNktJjae8XLKzpaJCRKS4WK5eldxcqaiQa9f+01haqm2NAADgd15eMnGi\nNGlitg7btm27YMGCcePGma1HU7jGzkJcXCQwUOsiAACAXdPyrtikpCQNRwcAALAzmq3Y7dmz\nJy0tbePGjZs2bdq7d2/v3r1dXV0b1tWpU6fef/99cxWWlpbm7Ozc4GLQeEpLSwsKCvz8/LQu\nBCbk5OQ0b96cXxwrxC+ONcvJyfHx8XFzc9O6ENRUVlZWUVExaNAgM/ZpMBjM2NvNaBPsli9f\nPn/+/EceeeTTTz8VkdTU1NTU1HfeeacBXUVHR69evXrhwoXmqu3s2bOOjo6OjlquZcKkqqqq\nqqoqZ2euH7BGFRUV/OJYJ35xrBm/OFZL/cX5/vvvzdinr6+vJZ7gq2ihXbt2Fy5cUBTlrrvu\nUhSlpKQkODhYk0puFBAQkJKSonUVMGH16tXW8zlBDYGBgRs2bNC6Cpiwbt26du3aaV0FTGvf\nvv3atWu1rgImfPDBB23bttW6iobQ5v8S3NzcWrduXX1X0e7mXAAAAPugTbDT6/UffvihcXfL\nli3+/v6aVAIAAGA3tLnqIjExcfjw4c8999yVK1c6dOhQWFi4Y8cOTSoBAACwG9oEux49epw+\nfXr37t0FBQUBAQF9+/b1Ur82FQAAAA2lQbA7cOBASkpKenq6wWDw9PSMjIxs3bp1dHS05SsB\nAACwJ5a+xi4pKWnkyJEuLi7jx4+fMWPGmDFjRGTAgAHJyckWrgQAAMDOWHrFbsmSJfv374+I\niKjemJCQMGnSpISEBAsXY9LIkSNrlAcr0bVr19jYWK2rgGkjRozo0qWL1lXAhMjIyLi4OK2r\ngGlxcXGRkZFaVwETunTpMmLECK2raAgHCz9nRK/X5+bm1ngYY0VFRcuWLfPz8y1ZCQAAgJ2x\n9KnY0NDQZcuWVW9RFCUxMZH/ZQEAALhNll6xO3r0aFxcnKIonTp10ul0xcXFGRkZOp1u27Zt\n4eHhlqwEAADAzlg62IlIeXn5vn37MjMz1btiw8PDY2JinJycLFwGAACAndEg2AEAAKAxaPOV\nYgAAADA7gh0AAICdINgBAADYCYIdAACAnSDYAQAA2AmCHQAAgJ0g2P3HsWPH7rnnHr1eHxIS\n8t5772ldzp3r0KFDvXv3bt68eZs2bebOnas2mpwdpkwTJSUlnTp1io+PV3eZGitx7dq18ePH\nN2/eXK/XT5s2rbKyUpgd63DgwIGePXt27Nixc+fOCxcuVBuZGm1t2LDB29t7/vz5xpb6z4i1\nT5MCRVEUpaysrG3btkuWLKmsrDxx4kSLFi0OHDigdVF3oqtXrzZv3nzFihVVVVUZGRktWrTY\nsmWLydlhyrQyffr09u3bjxo1SrnJLw5To4lx48aNHj36+vXrOTk5/fr127NnD7NjDa5du9as\nWbMdO3YoipKbmxsQELBp0yamRlvTpk2Lj4+PiYmZN2+e2lL/GbH+aSLY/S4tLS0gIMC4+/TT\nT0+ePFnDeu5YeXl5a9asMe4OGzZs/vz5JmeHKdPE3r17IyIiFi9erAY7psZKFBQUuLq6Xrx4\nsXojs2MNTp486ejoWFVVpe7GxsbOmTOHqdHWoUOHFEWJjY01Brv6z4j1TxOnYn+XmZnZqVMn\n425YWFh6erqG9dyx9Hr9xIkT1e28vLxvvvmmf//+JmeHKbO8oqKiyZMnr1+/3s3NTW1haqzE\niRMn9Hp9cnJyx44dw8LCXn311aqqKmbHGoSFhbVv3z4lJUVEzp07d+TIkUGDBjE12urevXuN\nlvrPiPVPE8HudwaDQafTGXfd3d0NBoOG9SAvL2/YsGFTpkzp2bOnydlhyixv+vTpY8eOjYqK\nMrYwNVaioKAgNzdXUZQffvhh586d69evX7VqFbNjDVxcXNatWzd9+nS9Xh8UFDRhwoRevXox\nNdam/jNi/dNEsPudp6dncXGxcff69euenp4a1nOHO378eK9evR566KHXXntNbjI7TJmFffLJ\nJydOnJg9e3b1RqbGSnh7ezs4OMycOdPR0TE4OHjChAm7du1idqzB2bNnR4wYkZqaevny5Zyc\nnD179ixZsoSpsTb1nxHrnyaC3e/Cw8MzMjIURVF3T506FRkZqW1Jd6xjx44NHjz4nXfeefbZ\nZ9UWk7PDlFnYRx99lJ2dHRoa2q5duzlz5uzatSs8PJypsRLBwcEVFRVFRUXqrqIozs7OzI41\n+PLLLwMDA++//34R8fX1jY2NTUtLY2qsTf1nxAamSYsL+6xReXl5cHDw4sWLKyoqDh065O3t\nffjwYa2LuhMVFxcHBQVt3769eqPJ2WHKNPTuu++qN08wNdZj8ODBU6ZMKSsry8rKCgoKWr9+\nPbNjDQ4fPqzT6Y4fP64oisFgiImJefHFF5kaa1D95on6z4j1TxPB7j9OnjzZu3dvb2/vDh06\nbNiwQety7lCbNm0SEbdqHnnkEeUms8OUacUY7BSmxmrk5+fHxsY2a9YsMDBwzpw56m2YzI41\nWL16dXh4eEhISEhIyBNPPGEwGBSmRlPqHxdHR0dnZ2c3N7cRI0YotzIjVj5NDsq/lxMBAABg\n07jGDgAAwE4Q7AAAAOwEwQ4AAMBOEOwAAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwE\nwQ4AAMBOEOwAAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ4AAMBOEOwAAADsBMEO\nAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ4AAMBOEOwA2ImePXsuXrxY3d60aVNubu7t9Gbs\n4fz58w4ODtevXzdDiQDQyAh2AOzQK6+8cpvBzthD69ats7OzPTw8zFQaADQigh0AexMfH5+Z\nmTl8+PB169aJyJEjR+67776wsLDg4OBVq1aJyPnz552dnZctW9ayZcvMzMzPPvusW7duQUFB\n7dq1W7p0aY0eLl686O/vbzAYROSrr77q2bNnWFhY586dX3vttaqqqgsXLjg6OiYnJ8fFxXXt\n2jUuLq60tLSqquqZZ54JDg4ODQ3t2rVrWlqatgcEwJ3DWesCAMDMNm/e7ODg8Mknn0RERBQW\nFg4dOvTNN99MSEi4ePFiVFRUcHBwly5dKisrs7Ozc3JyKioqevbsuWbNmlGjRh0/fjwqKmrQ\noEHVezh//rzabUFBwbBhw9asWTNy5Mi8vLzo6Ojg4OCBAwcqivLrr7+mpqZWVlZ26tRpy5Yt\ner0+NTX1hx9+0Ol0X3/99fvvvz9o0CBtjwmAOwQrdgDs2e7dux0cHBISEkSkdevWY8aM2bhx\no4ODg4iMHTvW0dHR1dX13LlzI0aMEJGuXbu2bt36p59+MtnVF198odfrR44cKSK+vr5jx479\n9NNP1a5Gjx4tIk5OTmFhYefOnfPz87t8+fL69euzs7PvvffeDRs2WOz9ArjDEewA2LOCgoL8\n/Px2//bRRx8VFBSo/+Tr66tufPTRR/fff3+PHj169uyZm5tbVVVlsqucnBzjj4hIixYtLl26\npG43bdpU3XBycqqsrIyMjNy+ffu+ffvCw8O7deu2a9euxnp7APDfOBULwJ61adPmrrvu+vHH\nH6s3Xr58WUTUxbbPP/989uzZhw8fDgoKEhF/f/+bdeXv71/9hoy8vLxaXhwTExMTE1NRUZGc\nnDxq1KjLly+7u7vf/tsBgNqxYgfADrm4uOTn54tInz59CgsLt23bJiKlpaVPPfXU3r17q78y\nOztbr9ffddddIrJs2TKDwaA+2cTYg1G/fv3y8/NTU1NF5NKlSx999FF8fLzJ0devX//YY4+V\nl5c7Ozt369atsrJSDZEA0NgIdgDs0JgxY/70pz/NnTvXy8tr+/btb775ZkhISHh4eGVl5b33\n3lv9laNGjQoODg4JCYmOjvb09HzyySenTp26f/9+Yw/GV/r4+Hz66acLFy7s1KlTv379pk+f\nrl5vd6NRo0aVlZUFBwcHBwcnJCRs3LhRp9M16vsFAJWDoiha1wAAAAAzYMUOAADAThDsAAAA\n7ATBDgAAwE4Q7AAAAOwEwQ4AAMBOEOwAAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwE\nwQ4AAMBOEOwAAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ4AAMBOEOwAAADsBMEO\nAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ4AAMBOEOwAAADsBMEOAADAThDsAAAA7ATBDgAA\nwE4Q7AAAAOwEwQ4AAMBOEOwAAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ4AAMBO\nEOwAAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ4AAMBF4of6AAAgAElEQVROEOwA\nAADsBMEOAADAThDsAAAA7ATBDgAAwE4Q7AAAAOwEwQ53HG9vbwcHBwcHh/379xsbCwsLnZ2d\n1faff/5ZRNq0aePg4LB79+46O6zllcaxVE2bNu3ateuiRYtKS0vN94ZuoVQRKSsre/fdd3v1\n6uXt7e3u7t6xY8epU6f+61//Mksljz32mIODw9SpUxtQWANUP7zu7u6dO3d+9tlnz58/30jD\naaK4uHjBggV/+MMfPD09mzRpEhYW9vrrr1+7ds3+BgVgFgQ73Ll27Nhh3P78888rKyur/+uD\nDz4YGxvbqlWrOvup85UhISE9evTo0aNHy5YtT5w48cILL0yfPr3Obs+ePevg4LBixYo6X1l/\nBoOhX79+Tz311DfffFNWVubi4nL69OmkpKSoqKjvvvvOjAOp6n8Ma1HncWjVqlVwcLCzs3NG\nRsZbb70VGRn5f//3f7czYmNo2GxevXq1d+/es2bNOn78uIg4Ozv/+OOPs2fP7tOnz9WrVxup\nnsYbFIAFEOxwh9Lr9Tt37jTu7tq1S200tqxevTo1NfXuu++us6s6Xzlv3rxvvvnmm2+++fnn\nn+fOnSsia9asqXPR7h//+EedQ9+qWbNmff31125ubitWrCgqKrp69eqRI0fCwsLy8/MnT55s\n9uHqfwxrUedxWLp06c8//1xUVHT8+PG77767oKBg1KhRxcXFtzOo2TVsNl966aXvvvvO3d09\nJSWlqKjo2rVr+/bt8/f3P3bs2N///vdGqqfxBgVgCQpwh2nWrJmIPPjggyJy9uxZtdHf379j\nx45BQUEi8tNPPymKEhAQICK7du1SFMXHx0dEDh06NH78eC8vLx8fn3nz5hk7rP5Kk2N9/PHH\nxpYDBw6ov3pFRUWKohgMhhdeeCE4OFin03Xq1GnlypXqy7p27Wr8JXVyclIUpaqqKjExMSws\nzM3NLSQk5JVXXvntt9+qF7Bjx46pU6c2a9asRnlGxcXF7u7uIjJnzpzq7cePH4+Pj9+yZUtl\nZaXxzX722WeRkZEBAQG1FKkoSn5+/sMPP+zh4dGqVat58+Y99thjIvI///M/Nx6ZioqK119/\nvXPnzjqdLjg4ePny5cZOajm8Nx6H2g/vhQsXdDqdiKxatar2Qc+fPz9hwoS2bdu6ubm1b99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WoUOHRKS0tHTz5s1qY3x8fO0/dfHixa+/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\nAAAiIewAACIh7AAAIiHsAAAi8R0IBJA2mML3KQAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "5GuYVeaMYw7a"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "QChODy3vYw-M"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "7lLIK-kpYwK6"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "8SrxOdVsYXk5"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}