{
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "from sklearn.datasets import make_blobs\n",
        "\n",
        "# Generate a dataset with 4 blobs\n",
        "X, y_true = make_blobs(n_samples=300, centers=4, cluster_std=0.60, random_state=0)\n",
        "plt.scatter(X[:, 0], X[:, 1], s=50)\n",
        "plt.title(\"Generated Data\")\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "8OWn1CKCAsvX",
        "outputId": "76cc7bbd-e6d6-4751-d19e-2b684d5ab8d8"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**2. Implement K-means Clustering**"
      ],
      "metadata": {
        "id": "rDr7kSEbAsvZ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import KMeans\n",
        "\n",
        "# Initialize KMeans with 4 clusters\n",
        "kmeans = KMeans(n_clusters=4)\n",
        "# Fit the model to the data\n",
        "kmeans.fit(X)\n",
        "# Get the cluster labels for each data point\n",
        "y_kmeans = kmeans.predict(X)"
      ],
      "outputs": [],
      "execution_count": null,
      "metadata": {
        "id": "m_JN2EpjAsvZ"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**3. Visualize the Clusters**"
      ],
      "metadata": {
        "id": "d60V9BQXAsva"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "kmeans.cluster_centers_"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tyFat6EUEjIk",
        "outputId": "923dd6cf-eaba-4cd2-ee0d-ac562fd2b87a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0.94973532,  4.41906906],\n",
              "       [-1.37324398,  7.75368871],\n",
              "       [ 1.98258281,  0.86771314],\n",
              "       [-1.58438467,  2.83081263]])"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis')\n",
        "# Plot the cluster centers\n",
        "centers = kmeans.cluster_centers_\n",
        "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.5)\n",
        "plt.title(\"K-means Clustering (k=4)\")\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "xkclVWj7Asva",
        "outputId": "ff1d40b8-f75f-4767-82e4-86cfc37b74ef"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**4. Elbow Method**"
      ],
      "metadata": {
        "id": "kXEq3B0wAsvb"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import KMeans\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "inertia = []\n",
        "for k in range(1, 11):\n",
        "    kmeans = KMeans(n_clusters=k, random_state=42)\n",
        "    kmeans.fit(X)\n",
        "    inertia.append(kmeans.inertia_)\n",
        "\n",
        "plt.plot(range(1, 11), inertia, marker='o')\n",
        "plt.title('Elbow Method for Optimal k')\n",
        "plt.xlabel('Number of Clusters (k)')\n",
        "plt.ylabel('Inertia')\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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bNm0aPv/8c0ycOBEnT56El5cXNm/eDBsbmyq9FzoffPABBg0ahICAADz//PPIy8vDZ599BkdHx0q9VxVxdXXFTz/9hMGDB6NDhw5lzlR96dIlfPrpp+WelLGwsBD9+/fH6NGjERcXhzVr1qBHjx4YNmyY1KZjx45Yu3Yt3n33XTRu3Bju7u7o169flet9kCFDhmDz5s1wdHSEv78/IiIi8Pfff8PV1fWxn1uhUGDLli0YPnw4Ro8ejT///LPGXgeZARlXuBEZvQctu8d9y49RwbL7mJgYceTIkaK9vb3o7OwshoSEiHl5eXrHKSoqEpcuXSr6+fmJlpaWoo+Pj7hgwQK9pe06q1evFgGIM2bM0NseGBgoAhD37dtXqdemW3Zfmdd/77J7URTF+Ph4ceLEiaKnp6doaWkp1q1bVxwyZIj4008/6bX78ssvxYYNG4pKpVJvyXVFx+7du3eZ5eLx8fHiyJEjRScnJ1GtVoudO3cWd+7cWeaxV69eFYcNGyba2NiIbm5u4quvviru3r37sZbdi6Io/v3332L37t1Fa2tr0cHBQRw6dKgYExOj1+bepeKPIiEhQZw2bZpYv3590dLSUnRzcxOHDRumd5oBHd1nceDAAXH69Omis7OzaGdnJ44fP17vtACiKIrJycni4MGDRXt7exGA9J5WtOy+ZcuWZY5X0WcEQAwODpbu37lzR5wyZYro5uYm2tnZiUFBQWJsbKzo6+srTpo0SWpXlWX3Orm5uWLv3r1FOzs7vdMAED0KQRSNeIYiEREBKD1T9ZQpUxAZGWmSl5EhqmmcQ0RERERmj4GIiIiIzB4DEREREZk9ziEiIiIis8ceIiIiIjJ7DERERERk9nhixkrQarW4efMm7O3ta/WU90RERFR1oigiKysL3t7e0olaK8JAVAk3b94sc1VnIiIiMg7Xrl1DvXr1HtiGgagS7O3tAZS+oQ4ODjJXQ0RERJWh0Wjg4+MjfY8/CANRJeiGyRwcHBiIiIiIjExlprtwUjURERGZPQYiIiIiMnsMRERERGT2GIiIiIjI7DEQERERkdljICIiIiKzx0BEREREZo+BiIiIiMweAxERERGZPZ6pWkYlWhHHE9KRmpUPd3s1Ovu5QKngxWOJiIhqGwORTHZHJ2HpjhgkZeZL27wc1Vg81B8DW3nJWBkREZH54ZCZDHZHJ2HGllN6YQgAkjPzMWPLKeyOTpKpMiIiIvPEQFTLSrQilu6IgVjOPt22pTtiUKItrwURERHVBAaiWnY8Ib1Mz9C9RABJmfk4npBee0URERGZOQaiWpaaVXEYqko7IiIienwMRLXM3V5dre2IiIjo8TEQ1bLOfi7wclSjosX1AkpXm3X2c6nNsoiIiMwaA1EtUyoELB7qDwAVhqLFQ/15PiIiIqJaxEAkg4GtvLB2Qgd4OuoPizlZW2LthA48DxEREVEt44kZZTKwlRee9PfE8YR0bDycgD0xKejW2JVhiIiISAYMRDJSKgQENHKFlYUCe2JSEH7xFopKtLBUsuOOiIioNvGb1wC083GCi60VsvKLcfLqHbnLISIiMjsMRAZAqRDQu2kdAEBYXKrM1RAREZkfBiID0be5OwAgLJaBiIiIqLYxEBmIXk3coBCACynZuH4nV+5yiIiIzAoDkYFwsrFCR19nAEBYXJrM1RAREZkXBiIDwmEzIiIieTAQGZC+zUoD0ZH4W8gvKpG5GiIiIvPBQGRAmnvaw8tRjfwiLSLib8tdDhERkdlgIDIggiD8O2zG5fdERES1hoHIwPS7O2wWGpsKURRlroaIiMg8MBAZmG6NSy/lcf1OHi6lZstdDhERkVlgIDIwNlYW6NrQFQCHzYiIiGoLA5EB6tes9DIeoVx+T0REVCsYiAxQv+YeAIATV+5Ak18kczVERESmj4HIANV3tUHDOrYo1ooIv3BL7nKIiIhMHgORgdKtNuM8IiIioprHQGSg+t09H9H+uFRotVx+T0REVJMYiAxUpwYusFNZ4FZ2Ic7eyJS7HCIiIpPGQGSgrCwU6NHYDQCHzYiIiGoaA5EB0w2bhXH5PRERUY1iIDJgfe6ej+j09UykZRXIXA0REZHpYiAyYO4OarSq6wCgdHI1ERER1QwGIgOnW36/Py5N5kqIiIhMFwORget7dx7RwQtpKCrRylwNERGRaWIgMnBt6jnBxdYKWQXFOHHljtzlEBERmSQGIgOnVAjo07R0cjXnEREREdUMBiIjoBs2C+XyeyIiohrBQGQEejWpA6VCwMXUbFxLz5W7HCIiIpMjayBatmwZnnjiCdjb28Pd3R3Dhw9HXFycXps+ffpAEAS924svvqjXJjExEYMHD4aNjQ3c3d0xd+5cFBcX67XZv38/OnToAJVKhcaNG2Pjxo01/fKqjaONJTrWdwbAs1YTERHVBFkD0YEDBxAcHIyjR49i7969KCoqwoABA5CTk6PXbtq0aUhKSpJuK1eulPaVlJRg8ODBKCwsxJEjR7Bp0yZs3LgRixYtktokJCRg8ODB6Nu3L6KiojBz5kxMnToVe/bsqbXX+rj68qzVRERENUYQRdFgLqWelpYGd3d3HDhwAL169QJQ2kPUrl07fPLJJ+U+ZteuXRgyZAhu3rwJDw8PAMC6deswb948pKWlwcrKCvPmzcMff/yB6Oho6XFjxoxBRkYGdu/e/dC6NBoNHB0dkZmZCQcHh8d/oVUQl5yFoE8OQmWhQNSiAbC2UspSBxERkbF4lO9vg5pDlJlZelV3FxcXve3ffvst3Nzc0KpVKyxYsAC5uf/Oo4mIiEDr1q2lMAQAQUFB0Gg0OHfunNQmMDBQ7zmDgoIQERFRbh0FBQXQaDR6N7k19bCDt6MaBcVaRFy+JXc5REREJsVgApFWq8XMmTPRvXt3tGrVSto+btw4bNmyBWFhYViwYAE2b96MCRMmSPuTk5P1whAA6X5ycvID22g0GuTl5ZWpZdmyZXB0dJRuPj4+1fY6q0oQhHuGzXjWaiIioupkIXcBOsHBwYiOjsahQ4f0tk+fPl36vXXr1vDy8kL//v0RHx+PRo0a1UgtCxYswOzZs6X7Go3GIEJRv+bu+PZYIkJjU/G2KEIQBLlLIiIiMgkG0UMUEhKCnTt3IiwsDPXq1Xtg2y5dugAALl26BADw9PRESkqKXhvdfU9Pzwe2cXBwgLW1dZljqFQqODg46N0MQbdGbrCyUOBGRh4upmbLXQ4REZHJkDUQiaKIkJAQbN++HaGhofDz83voY6KiogAAXl5eAICAgACcPXsWqan/rr7au3cvHBwc4O/vL7XZt2+f3vPs3bsXAQEB1fRKaoe1lRIBDV0B8CSNRERE1UnWQBQcHIwtW7Zg69atsLe3R3JyMpKTk6V5PfHx8XjnnXdw8uRJXLlyBb///jsmTpyIXr16oU2bNgCAAQMGwN/fH88++yxOnz6NPXv24K233kJwcDBUKhUA4MUXX8Tly5fx+uuvIzY2FmvWrMEPP/yAWbNmyfbaq6ofl98TERFVO1mX3Vc0B2bDhg2YPHkyrl27hgkTJiA6Oho5OTnw8fHBf/7zH7z11lt6w1hXr17FjBkzsH//ftja2mLSpElYvnw5LCz+nSK1f/9+zJo1CzExMahXrx4WLlyIyZMnV6pOQ1h2r5N4Oxe9PgiDUiHg1MIn4WhtKWs9REREhupRvr8N6jxEhsqQAhEA9P9wP+LTcvD5uPYY0sZb7nKIiIgMktGeh4gqpx+X3xMREVUrBiIjpDsf0YELqdBq2cFHRET0uBiIjNATDVxgp7LArexCnLmRKXc5RERERo+ByAhZKhXo2cQNAJffExERVQcGIiOlGzbbH8dARERE9LgYiIxUn2Z1AABnrmciNStf5mqIiIiMGwORkXK3V6N1XUcAwP44rjYjIiJ6HAxERozDZkRERNWDgciI6c5HFH7hFopKtDJXQ0REZLwYiIxYm7qOcLW1QlZBMSKvpMtdDhERkdFiIDJiCoWA3ncnV3MeERERUdUxEBk53bAZz0dERERUdQxERq5nkzpQKgRcSs3GtfRcucshIiIySgxERs7R2hIdfZ0BsJeIiIioqhiITIBu2CyMy++JiIiqhIHIBOgCUUT8beQVlshcDRERkfFhIDIBTdztUNfJGgXFWhyJvyV3OUREREaHgcgECIKAvs1Ll99z2IyIiOjRMRCZCGkeUWwaRFGUuRoiIiLjwkBkIgIaukFlocCNjDxcSMmWuxwiIiKjwkBkIqytlOjWyBUAl98TERE9KgYiE9KXy++JiIiqhIHIhPRtVhqITl69g8zcIpmrISIiMh4MRCbEx8UGTdztUKIVcfAiL/ZKRERUWQxEJobDZkRERI+OgcjE6IbNDsSlQavl8nsiIqLKYCAyMZ0aOMNebYHbOYU4fT1D7nKIiIiMAgORibFUKtCryd2zVnP5PRERUaUwEJmgPs10l/HgxGoiIqLKYCAyQX3uziM6eyMTqZp8mashIiIyfAxEJqiOvQpt6zkCAPazl4iIiOihGIhMlK6XiMvviYiIHo6ByET1u3s+ovCLt1BYrJW5GiIiIsPGQGSiWtd1hJudCtkFxThxJV3ucoiIiAwaA5GJUigEabVZKJffExERPRADkQnry3lERERElcJAZMJ6NnWDhUJAfFoOEm/nyl0OERGRwWIgMmEOakt0auAMAAiNTZG5GiIiIsPFQGTi/h024/mIiIiIKsJAZOJ0y+8jLt9GbmGxzNUQEREZJgYiE9fY3Q71nK1RWKzFkUu35S6HiIjIIDEQmThBEKReolCuNiMiIioXA5EZ0M0j2h+bClEUZa6GiIjI8DAQmYGARq5QWypwMzMfcSlZcpdDRERkcBiIzIDaUolujdwA8KzVRERE5WEgMhN9717GY38sl98TERHdj4HITPS9O7H6ZOIdZOYWyVwNERGRYWEgMhP1nG3Q1MMOJVoRBy6yl4iIiOheDERmRNdLFMZ5RERERHoYiMyIbvn9gQtpKNFy+T0REZEOA5EZ6ejrDHu1BdJzCnH6eobc5RARERkMWQPRsmXL8MQTT8De3h7u7u4YPnw44uLi9Nrk5+cjODgYrq6usLOzw4gRI5CSon/l9sTERAwePBg2NjZwd3fH3LlzUVysf92u/fv3o0OHDlCpVGjcuDE2btxY0y/P4FgqFejVtHS1GYfNiIiI/iVrIDpw4ACCg4Nx9OhR7N27F0VFRRgwYABycnKkNrNmzcKOHTvw448/4sCBA7h58yaeeeYZaX9JSQkGDx6MwsJCHDlyBJs2bcLGjRuxaNEiqU1CQgIGDx6Mvn37IioqCjNnzsTUqVOxZ8+eWn29hkA3bBbGy3gQERFJBNGAruWQlpYGd3d3HDhwAL169UJmZibq1KmDrVu3YuTIkQCA2NhYtGjRAhEREejatSt27dqFIUOG4ObNm/Dw8AAArFu3DvPmzUNaWhqsrKwwb948/PHHH4iOjpaONWbMGGRkZGD37t0PrUuj0cDR0RGZmZlwcHComRdfS25lF+CJ9/6GKALH3+gPdwe13CURERHViEf5/jaoOUSZmZkAABcXFwDAyZMnUVRUhMDAQKlN8+bNUb9+fURERAAAIiIi0Lp1aykMAUBQUBA0Gg3OnTsntbn3OXRtdM9hTtzsVGhTzwkAe4mIiIh0DCYQabVazJw5E927d0erVq0AAMnJybCysoKTk5NeWw8PDyQnJ0tt7g1Duv26fQ9qo9FokJeXV6aWgoICaDQavZsp6acbNuNZq4mIiAAYUCAKDg5GdHQ0vvvuO7lLwbJly+Do6CjdfHx85C6pWvVtXjqx+tClWygs1spcDRERkfwMIhCFhIRg586dCAsLQ7169aTtnp6eKCwsREZGhl77lJQUeHp6Sm3uX3Wmu/+wNg4ODrC2ti5Tz4IFC5CZmSndrl279tiv0ZC08naEm50K2QXFiLySLnc5REREspM1EImiiJCQEGzfvh2hoaHw8/PT29+xY0dYWlpi37590ra4uDgkJiYiICAAABAQEICzZ88iNfXf+TB79+6Fg4MD/P39pTb3Poeuje457qdSqeDg4KB3MyUKhSBd7DWUy++JiIjkDUTBwcHYsmULtm7dCnt7eyQnJyM5OVma1+Po6Ijnn38es2fPRlhYGE6ePIkpU6YgICAAXbt2BQAMGDAA/v7+ePbZZ3H69Gns2bMHb731FoKDg6FSqQAAL774Ii5fvozXX38dsbGxWLNmDX744QfMmjVLttcuN+kyHpxYTUREJO+ye0EQyt2+YcMGTJ48GUDpiRnnzJmDbdu2oaCgAEFBQVizZo00HAYAV69exYwZM7B//37Y2tpi0qRJWL58OSwsLKQ2+/fvx6xZsxATE4N69eph4cKF0jEexpSW3eto8ovQ4e29KNaKODC3D3xdbeUuiYiIqFo9yve3QZ2HyFCZYiACgLHrjyLi8m0sHuqPKd39Hv4AIiIiI2K05yGi2tVPGjbj8nsiIjJvDERmTLf8/ujl28gtLH5IayIiItPFQGTGGtWxg4+LNQqLtTh86bbc5RAREcmGgciMCYIgnbWay++JiMicMRCZOd3y+/1xqeD8eiIiMlcMRGaua0NXqC0VSMrMR2xyltzlEBERyYKByMypLZXo3sgNAIfNiIjIfDEQkd6wGRERkTliICIpEJ28egcZuYUyV0NERFT7GIgIdZ2s0czDHloROHCBJ2kkIiLzw0BEAO652CvnERERkRliICIA/17G48CFNJRoufyeiIjMCwMRAQA61HeCg9oCd3KLEHUtQ+5yiIiIahUDEQEALJQK9Gpaem0zDpsREZG5YSAiiW7YLIzL74mIyMwwEJGkd9M6EATg3E0NUjT5cpdDRERUaxiISOJqp0Lbek4AOGxGRETmhYGI9OiGzXgZDyIiMicMRKRHF4gOX7qFguISmashIiKqHQxEpMffywF17FXIKSxBZMIducshIiKqFQxEpEehENC3Wenyew6bERGRuWAgojJ0w2b7ufyeiIjMBAMRldG9sRsslQIu38rBlVs5cpdDRERU4xiIqAx7tSWeaOACgMNmRERkHhiIqFw8azUREZkTBiIqV9+7gejY5XTkFBTLXA0REVHNYiCicjV0s0V9FxsUlmhx+NItucshIiKqUQxEVC5BEDhsRkREZoOBiCqkGzYLi02DKIoyV0NERFRzGIioQl38XGBtqUSyJh/nk7LkLoeIiKjGMBBRhdSWSnRv7AqAw2ZERGTaGIjogXTDZjwfERERmTIGInqgvs1KA9E/iXdwJ6dQ5mqIiIhqBgMRPZC3kzWae9pDKwIHL6bJXQ4REVGNYCCih+KwGRERmToGInoo3fmIDlxIQ4mWy++JiMj0MBDRQ7X3cYKjtSUycosQde2O3OUQERFVOwYieigLpQK9mtYBwGEzIiIyTQxEVCn9musCESdWExGR6WEgokrp3dQdggCcT9IgOTNf7nKIiIiqFQMRVYqLrRXa+TgB4FmriYjI9DAQUaX1a8bl90REZJosqvrAEydO4IcffkBiYiIKC/XPYPzLL788dmFkePo2d8eHey/g8KVbKCgugcpCKXdJRERE1aJKPUTfffcdunXrhvPnz2P79u0oKirCuXPnEBoaCkdHx+qukQxES28HuNurkFtYguMJ6XKXQ0REVG2qFIjef/99fPzxx9ixYwesrKzw6aefIjY2FqNHj0b9+vWru0YyEIIgSNc247AZERGZkioFovj4eAwePBgAYGVlhZycHAiCgFmzZmH9+vXVWiAZFt1lPPbHcfk9ERGZjioFImdnZ2RlZQEA6tati+joaABARkYGcnNzq686Mjg9mrjBUikg4VYOEm7lyF0OERFRtahSIOrVqxf27t0LABg1ahReffVVTJs2DWPHjkX//v2rtUAyLHYqC3T2cwHAYTMiIjIdVVpl9vnnnyM/v/TkfG+++SYsLS1x5MgRjBgxAm+99Va1FkiGp28zdxy+dBthsal4voef3OUQERE9NkEURV6+/CE0Gg0cHR2RmZkJBwcHucuR3eW0bPT78AAslQKiFg2ArarKZ28gIiKqMY/y/V3pbzKNRiM9mUajeWBbhgbT1rCOHRq42uDK7VwcunQLQS095S6JiIjosVR6DpGzszNSU0vnjDg5OcHZ2bnMTbedTF+fu8vvwziPiIiITEClA1FoaChcXEon04aFhSE0NLTMTbe9sg4ePIihQ4fC29sbgiDg119/1ds/efJkCIKgdxs4cKBem/T0dIwfPx4ODg5wcnLC888/j+zsbL02Z86cQc+ePaFWq+Hj44OVK1dWukYqX7+7y+/D4lLBUVciIjJ2lR4y6927t/S7n58ffHx8IAiCXhtRFHHt2rVKHzwnJwdt27bFc889h2eeeabcNgMHDsSGDRuk+yqVSm//+PHjkZSUhL1796KoqAhTpkzB9OnTsXXrVgClw3sDBgxAYGAg1q1bh7Nnz+K5556Dk5MTpk+fXulaSV+Xhi6wtlQiRVOAmCQNWnrzDOVERGS8qjQb1s/PD0lJSXB3d9fbnp6eDj8/P5SUlFTqeQYNGoRBgwY9sI1KpYKnZ/lzVM6fP4/du3cjMjISnTp1AgB89tlneOqpp/Df//4X3t7e+Pbbb1FYWIivv/4aVlZWaNmyJaKiovDRRx8xED0GlYUS3Ru74e/zKQiLTWUgIiIio1al8xCJolimdwgAsrOzoVarH7uoe+3fvx/u7u5o1qwZZsyYgdu3b0v7IiIi4OTkJIUhAAgMDIRCocCxY8ekNr169YKVlZXUJigoCHFxcbhz5065xywoKIBGo9G7UVm6YTOej4iIiIzdI/UQzZ49G0DpNa0WLlwIGxsbaV9JSQmOHTuGdu3aVVtxAwcOxDPPPAM/Pz/Ex8fjjTfewKBBgxAREQGlUonk5OQyvVQWFhZwcXFBcnIyACA5ORl+fvrnyvHw8JD2lTcJfNmyZVi6dGm1vQ5T1bd5HQDAP9cykJ5TCBdbq4c8goiIyDA9UiD6559/AJT2EJ09e1av18XKygpt27bFa6+9Vm3FjRkzRvq9devWaNOmDRo1aoT9+/fX6BmxFyxYIIU/oHQeko+PT40dz1h5OVqjhZcDzidpcPBCGoa3ryt3SURERFXySIEoLCwMADBlyhSsWrUK9vb2NVJURRo2bAg3NzdcunQJ/fv3h6enp3QqAJ3i4mKkp6dL8448PT2RkpKi10Z3v6K5SSqVqszkbSpf32Z1cD5Jg9DYVAYiIiIyWo88h6ioqAibN2/G1atXa6KeB7p+/Tpu374NLy8vAEBAQAAyMjJw8uRJqU1oaCi0Wi26dOkitTl48CCKioqkNnv37kWzZs14zqRqoJtHtO98Crb/cwMR8bdRouUyfCIiMi6PHIgsLS1Rv379Sq8ke5Ds7GxERUUhKioKAJCQkICoqCgkJiYiOzsbc+fOxdGjR3HlyhXs27cPTz/9NBo3boygoCAAQIsWLTBw4EBMmzYNx48fx+HDhxESEoIxY8bA29sbADBu3DhYWVnh+eefx7lz5/D999/j008/1RsSo6pL1RRAEICcwhLM+j4KY788ih4rQrE7Oknu0oiIiCqtStcy+9///odffvkFmzdvlk7WWBX79+9H3759y2yfNGkS1q5di+HDh+Off/5BRkYGvL29MWDAALzzzjvSpGigdKl/SEgIduzYAYVCgREjRmDVqlWws7OT2pw5cwbBwcGIjIyEm5sbXn75ZcybN6/SdfJaZuXbHZ2EGVtO4f4/QLr1h2sndMDAVl61XRYRERGAR/v+rlIgat++PS5duoSioiL4+vrC1tZWb/+pU6ce9SkNGgNRWSVaET1WhCIpM7/c/QIAT0c1Ds3rB6Wi7CkaiIiIalqNXNz1XsOHD6/Kw8iEHE9IrzAMAYAIICkzH8cT0hHQyLX2CiMiIqqCKgWixYsXV3cdZGRSsyoOQ1VpR0REJKcqnakaADIyMvDVV19hwYIFSE9PB1A6VHbjxo1qK44Ml7t95c5IXtl2REREcqpSD9GZM2cQGBgIR0dHXLlyBdOmTYOLiwt++eUXJCYm4ptvvqnuOsnAdPZzgZejGsmZ+WUmVQP/ziHq7Ff1SfdERES1pUo9RLNnz8bkyZNx8eJFvWuXPfXUUzh48GC1FUeGS6kQsHioP4B/V5Xdb/FQf06oJiIio1ClQBQZGYkXXnihzPa6detK1xAj0zewlRfWTugAT8eyw2Lju9TnknsiIjIaVRoyU6lU5V4B/sKFC6hTp85jF0XGY2ArLzzp74njCelIzcpH5JV0bDmaiKMJ6dBqRSjYQ0REREagSj1Ew4YNw9tvvy1dDkMQBCQmJmLevHkYMWJEtRZIhk+pEBDQyBVPt6uLeQObw15lgUup2ThwIU3u0oiIiCqlSoHoww8/RHZ2Ntzd3ZGXl4fevXujcePGsLe3x3vvvVfdNZIRsVdbYkxnHwDAl+GXZa6GiIiocqo0ZObo6Ii9e/fi0KFDOHPmDLKzs9GhQwcEBgZWd31khCZ398PXh6/gSPxtnLuZiZbejnKXRERE9EBVCkQ6PXr0QI8ePaqrFjIRdZ2sMbi1F34/fRNfhSfg4/9rJ3dJRERED1TlQLRv3z7s27cPqamp0Gq1evu+/vrrxy6MjNvUnn74/fRN7Dh9E/MGNi93JRoREZGhqNIcoqVLl2LAgAHYt28fbt26hTt37ujdiNrUc0JnPxcUa0VsPHJF7nKIiIgeqEo9ROvWrcPGjRvx7LPPVnc9ZEKm9WyI4wnp2HrsKl7u1xi2qscaoSUiIqoxVeohKiwsRLdu3aq7FjIx/Zu7o6GbLTT5xfjhxDW5yyEiIqpQlQLR1KlTsXXr1uquhUyMQiHguR5+AICvDyegRFveVc+IiIjkV6UxjPz8fKxfvx5///032rRpA0tLS739H330UbUUR8ZvRId6+PCvOFxLz8Oec8l4qjUv50FERIanyle7b9euHQAgOjq6OushE2NtpcSErr74LPQSvgq/zEBEREQGqUqBKCwsrLrrIBP2bIAvvjhwGacSM3Dy6h109HWWuyQiIiI9jxSInnnmmYe2EQQBP//8c5ULItPjbq/G8Pbe+OHEdXwVfhkdfTvKXRIREZGeRwpEjo68BANVzdSeDfHDievYcy4ZibdzUd/VRu6SiIiIJI8UiDZs2FBTdZCJa+phj95N6+DAhTR8fTgBS4a1lLskIiIiSZWW3RNVxdSepUvwfzhxDZm5RTJXQ0RE9C8GIqo1PRq7obmnPXILS7D1eKLc5RAREUkYiKjWCIKAqT0bAgA2HklAYbH2IY8gIiKqHQxEVKuGtfWGu70KKZoC7DxzU+5yiIiIADAQUS2zslBgUrcGAIAvwxMgirycBxERyY+BiGrd+C71YW2pxPkkDY7E35a7HCIiIgYiqn1ONlYY1akeAOCr8MsyV0NERMRARDJ5rrsfBAEIi0vDpdQsucshIiIzx0BEsmjgZosB/h4AgK/CE2SuhoiIzB0DEclm2t0l+L/8cwNpWQUyV0NEROaMgYhk09HXGe18nFBYrMXmo1flLoeIiMwYAxHJpvREjaWX89hy9Cryi0pkroiIiMwVAxHJamBLT9R1skZ6TiF+OXVD7nKIiMhMMRCRrCyUCjzXo7SX6KtDl6HV8kSNRERU+xiISHb/94QP7NUWuJyWg7C4VLnLISIiM8RARLKzU1lgXOf6AIAveaJGIiKSAQMRGYRJ3RrAQiHg6OV0RN/IlLscIiIyMwxEZBC8nawxuI0XAF7Og4iIah8DERkM3Ykad55JQlJmnszVEBGROWEgIoPRqq4jujZ0QbFWxMbDV+Quh4iIzAgDERkUXS/R1uOJyC4olrkaIiIyFwxEZFD6NnNHwzq2yMovxveR1+Quh4iIzAQDERkUhULA83dP1Pj1oQQUl2hlroiIiMwBAxEZnBEd6sHF1go3MvKw51yK3OUQEZEZYCAig6O2VGJCV18ApSdqFEVezoOIiGoWAxEZpIkBvrCyUCDqWgZOXr0jdzlERGTiGIjIILnZqfBM+7oAeDkPIiKqeQxEZLB0k6v/iknBlVs5MldDRESmjIGIDFYTD3v0aVYHogh8fThB7nKIiMiEyRqIDh48iKFDh8Lb2xuCIODXX3/V2y+KIhYtWgQvLy9YW1sjMDAQFy9e1GuTnp6O8ePHw8HBAU5OTnj++eeRnZ2t1+bMmTPo2bMn1Go1fHx8sHLlypp+aVRNdCdq/PHEdWTkFspcDRERmSpZA1FOTg7atm2L1atXl7t/5cqVWLVqFdatW4djx47B1tYWQUFByM/Pl9qMHz8e586dw969e7Fz504cPHgQ06dPl/ZrNBoMGDAAvr6+OHnyJD744AMsWbIE69evr/HXR4+vWyNXtPByQF5RCb49lih3OUREZKpEAwFA3L59u3Rfq9WKnp6e4gcffCBty8jIEFUqlbht2zZRFEUxJiZGBCBGRkZKbXbt2iUKgiDeuHFDFEVRXLNmjejs7CwWFBRIbebNmyc2a9as0rVlZmaKAMTMzMyqvjx6DD+fvCb6ztspPvHuXrGgqETucoiIyEg8yve3wc4hSkhIQHJyMgIDA6Vtjo6O6NKlCyIiIgAAERERcHJyQqdOnaQ2gYGBUCgUOHbsmNSmV69esLKyktoEBQUhLi4Od+5wObcxGNLGGx4OKqRmFeD30zflLoeIiEyQwQai5ORkAICHh4fedg8PD2lfcnIy3N3d9fZbWFjAxcVFr015z3HvMe5XUFAAjUajdyP5WFkoMKlbAwDAVzxRIxER1QCDDURyWrZsGRwdHaWbj4+P3CWZvfGdfWFjpURschYOXboldzlERGRiDDYQeXp6AgBSUvSvZZWSkiLt8/T0RGpqqt7+4uJipKen67Up7znuPcb9FixYgMzMTOl27Rqvui43RxtLjO5UGky/CucSfCIiql4GG4j8/Pzg6emJffv2Sds0Gg2OHTuGgIAAAEBAQAAyMjJw8uRJqU1oaCi0Wi26dOkitTl48CCKioqkNnv37kWzZs3g7Oxc7rFVKhUcHBz0biS/57r7QSEABy6k4UJKltzlEBGRCZE1EGVnZyMqKgpRUVEASidSR0VFITExEYIgYObMmXj33Xfx+++/4+zZs5g4cSK8vb0xfPhwAECLFi0wcOBATJs2DcePH8fhw4cREhKCMWPGwNvbGwAwbtw4WFlZ4fnnn8e5c+fw/fff49NPP8Xs2bNletVUVfVdbRDUsrRX7ytezoOIiKpTzS96q1hYWJgIoMxt0qRJoiiWLr1fuHCh6OHhIapUKrF///5iXFyc3nPcvn1bHDt2rGhnZyc6ODiIU6ZMEbOysvTanD59WuzRo4eoUqnEunXrisuXL3+kOrns3nCcuHJb9J23U2zyxp9iiiZP7nKIiMiAPcr3tyCKXLLzMBqNBo6OjsjMzOTwmQH4z5rD+CcxAy/3a4w5A5rJXQ4RERmoR/n+Ntg5REQV0V3OY8vRq8grLJG5GiIiMgUMRGR0glp6wsfFGndyi/Dzqetyl0NERCaAgYiMjlIh4LnufgCArw8lQKvlqC8RET0eBiIySqM7+cBebYHLt3KwLzb14Q8gIiJ6AAYiMkq2KguM61IfAPAll+ATEdFjYiAiozW5WwNYKAQcT0jHmesZcpdDRERGjIGIjJaXozWGti09AScv50FERI+DgYiM2tSepZOr/zibhBsZeTJXQ0RExoqBiIxaS29HdGvkihKtiI2H2UtERERVw0BERk/XS/Td8WvIyi96SGsiIqKyGIjI6PVp6o5GdWyRVVCM7yOvyV0OEREZIQYiMnoKhYCpdy/nseHwFRSXaGWuiIiIjA0DEZmE/7SvC1dbK9zIyMOu6GS5yyEiIiPDQEQmQW2pxLMBvgCAr8IvQxR5OQ8iIqo8BiIyGc929YWVhQKnr2ci8soducshIiIjwkBEJsPVToURHeoC4OU8iIjo0TAQkUl5vkfp5Oq/z6cg4VaOzNUQEZGxYCAik9LY3Q79mrtDFIGvD/FEjUREVDkMRGRydCdq/PHkNdzJKZS5GiIiMgYMRGRyAhq6oqW3A/KLtPj22FW5yyEiIiPAQEQmRxAEqZdoU8RVFBSXyFwREREZOgYiMklD2njD00GNtKwC/BZ1U+5yiIjIwDEQkUmyVCowuXsDAMD/whN4okYiInogBiIyWWM714etlRJxKVkIv3hL7nKIiMiAMRCRyXK0tsToJ3wA8ESNRET0YAxEZNKe6+4HhQCEX7yF2GSN3OUQEZGBYiAik+bjYoOBrTwBAF+F80SNRERUPgYiMnlTe5ZezuO3qBtI1eTLXA0RERkiBiIyeR3qO6OjrzOKSkRsirgidzlERGSAGIjILEy7e6LGb48lIrewWOZqiIjI0DAQkVl40t8T9V1skJFbhJ9PXpe7HCIiMjAMRGQWlAoBz+lO1HgoASVanqiRiIj+xUBEZmNUJx84qC1w5XYu/j6fInc5RERkQBiIyGzYqiwwvqsvAOArnqiRiIjuwUBEZmVytwawVAqIvHIHUdcy5C6HiIgMBAMRmRUPBzWGtvUGwF4iIiL6FwMRmZ2pPUpP1LgrOhnX7+TKXA0RERkCBiIyO/7eDuje2BUlWhEbDl+RuxwiIjIADERklnSX8/g+8ho0+UUyV0NERHJjICKz1KdpHTRxt0N2QTG+O54odzlERCQzBiIyS4IgYOrdy3lsPHwFRSVamSsiIiI5MRCR2Xq6XV242VnhZmY+/jybJHc5REQkIwYiMltqSyWe7doAAPBVeAJEkZfzICIyVwxEZNYmdK0PlYUCZ29k4lhCutzlEBGRTBiIyKy52qkwomM9ADxRIxGROWMgIrP3fI/SydV/n0/Fz6eu47eoG4iIv40SLYfQiIjMhYXcBRDJrVEdO7Sp64AzNzSY88NpabuXoxqLh/pjYCsvGasjIqLawB4iMnu7o5Nw5oamzPbkzHzM2HIKu6O5Ao2IyNQxEJFZK9GKWLojptx9ugGzpTtiOHxGRGTiGIjIrB1PSEdSZn6F+0UASZn5OM4VaEREJo2BiMxaalbFYagq7YiIyDgxEJFZc7dXV2s7IiIyTgYdiJYsWQJBEPRuzZs3l/bn5+cjODgYrq6usLOzw4gRI5CSkqL3HImJiRg8eDBsbGzg7u6OuXPnori4uLZfChmozn4u8HJUQ3hAGwe1BZ5o4FxrNRERUe0z6EAEAC1btkRSUpJ0O3TokLRv1qxZ2LFjB3788UccOHAAN2/exDPPPCPtLykpweDBg1FYWIgjR45g06ZN2LhxIxYtWiTHSyEDpFQIWDzUHwAqDEWa/GIs+v0cLwBLRGTCDD4QWVhYwNPTU7q5ubkBADIzM/G///0PH330Efr164eOHTtiw4YNOHLkCI4ePQoA+OuvvxATE4MtW7agXbt2GDRoEN555x2sXr0ahYWFcr4sMiADW3lh7YQO8HTUHxbzclTjmQ51IQjA1mOJmPT1cWTk8s8NEZEpMvhAdPHiRXh7e6Nhw4YYP348EhMTAQAnT55EUVERAgMDpbbNmzdH/fr1ERERAQCIiIhA69at4eHhIbUJCgqCRqPBuXPnKjxmQUEBNBqN3o1M28BWXjg0rx+2TeuKT8e0w7ZpXXFoXj98NLodvprYCbZWShyJv43/rDmC+LRsucslIqJqZtCBqEuXLti4cSN2796NtWvXIiEhAT179kRWVhaSk5NhZWUFJycnvcd4eHggOTkZAJCcnKwXhnT7dfsqsmzZMjg6Oko3Hx+f6n1hZJCUCgEBjVzxdLu6CGjkCqWidBCtfwsP/PxSN9R1skbCrRz8Z/VhHLp4S+ZqiYioOhl0IBo0aBBGjRqFNm3aICgoCH/++ScyMjLwww8/1OhxFyxYgMzMTOl27dq1Gj0eGb7mng74LaQ7Ovo6Q5NfjEkbjmNzxBW5yyIiompi0IHofk5OTmjatCkuXboET09PFBYWIiMjQ69NSkoKPD09AQCenp5lVp3p7uvalEelUsHBwUHvRuRmp8K3U7vgmfZ1UaIVsfC3c1j0WzSKOdmaiMjoGVUgys7ORnx8PLy8vNCxY0dYWlpi37590v64uDgkJiYiICAAABAQEICzZ88iNTVVarN37144ODjA39+/1usn46e2VOLD0W3x+sBmAIBvIq5iysZIZOYVyVwZERE9DkEURYO9SNNrr72GoUOHwtfXFzdv3sTixYsRFRWFmJgY1KlTBzNmzMCff/6JjRs3wsHBAS+//DIA4MiRIwBKl923a9cO3t7eWLlyJZKTk/Hss89i6tSpeP/99ytdh0ajgaOjIzIzM9lbRJLd0cmY9X0U8opK0LCOLb6e9AQauNnKXRYREd31KN/fBt1DdP36dYwdOxbNmjXD6NGj4erqiqNHj6JOnToAgI8//hhDhgzBiBEj0KtXL3h6euKXX36RHq9UKrFz504olUoEBARgwoQJmDhxIt5++225XhKZkIGtPPHjiwHwclTjcloOnl59GEfiOdmaiMgYGXQPkaFgDxE9SGpWPqZ/cxJR1zJgoRDwzvBWGNu5vtxlERGZPZPpISIyBu72anw3vSuGtfVGsVbEgl/O4u0dMZxsTURkRBiIiKqB2lKJT8e0w5wnmwIAvj6cgKnfnIAmn5OtiYiMAQMRUTURBAEv92+CNeM7QG2pwP64NIxYcwSJt3PlLo2IiB6CgYiomj3V2gs/vBAADwcVLqZm4+nVh3Ds8m25yyIiogdgICKqAW3qOeG34B5oU88Rd3KLMOF/x/DDCZ7xnIjIUDEQEdUQT0c1vp8egMGtvVBUIuL1n87g/T/Po0TLhZ1ERIaGgYioBllbKfHZ2PZ4tX8TAMD6g5cx/ZsTyC4olrkyIiK6FwMRUQ1TKATMerIpVo1tDysLBfbFpmLEmiO4ls7J1kREhoKBiKiWDGvrje+nd0UdexXiUrIwfPVhnLiSLndZREQEBiKiWtW+vjN+C+4Ofy8H3M4pxLgvj+GXU9flLouIyOwxEBHVMm8na/w0IwBBLT1QWKLF7B9OY+XuWGg52ZqISDYMREQysLGywNrxHRHctxEAYM3+eLy45SRyONmaiEgWDEREMlEoBMwNao6P/68trJQK/BWTglHrInAzI0/u0oiIzA4DEZHM/tO+HrZN7wo3OyvEJGkw7PPDOJV4R+6yiIjMCgMRkQHo6OuMX4O7o7mnPW5lF2DM+qP4LeqG3GUREZkNBiIiA1HP2QY/zeiGwBbuKCzW4tXvovDRX3GcbE1EVAsYiIgMiJ3KAl882wkv9GoIAFgVegkh204hr7BE5sqIiEwbAxGRgVEqBCx4qgVWjmwDS6WAP88mY/QXEUjOzJe7NCIik8VARGSgRnfywbdTu8LF1gpnb2Ri2OeHcOZ6htxlERGZJAYiIgPW2c8FvwV3R1MPO6RmFWDUugjsPHNT7rKIiEwOAxGRgfNxscHPM7qhb7M6KCjWImTrP/j074sQRU62JiKqLgxEREbAXm2JryY9ged7+AEAPv77Al75Lgr5RZxsTURUHRiIiIyEUiFg4RB/LHumNSwUAnacvon/+yICqRpOtiYielwMRERGZmzn+tj8fBc42Vji9PVMPL36MKJvZMpdFhGRUWMgIjJCAY1c8etL3dGoji2SMvMxal0EdkcnAQBKtCIi4m/jt6gbiIi/jRKe2JGI6KEEkTMzH0qj0cDR0RGZmZlwcHCQuxwiSWZeEUK2nkL4xVsAgKfbeeNYQrreOYu8HNVYPNQfA1t5yVUmEZEsHuX7mz1EREbM0doSGyY/gcndGgAAfou6WeYEjsmZ+Zix5ZTUg0RERGUxEBEZOQulAguH+MNBbVHufl0X8NIdMUY1fMahPyKqTeX/C0pERuV4Qjo0+cUV7hcBJGXmI2TrKTT1sIe92uLuzVL/p6r0d7WlAoIg1N4LuM/u6CQs3RGDJA79EVEtYSAiMgGpWZVber8rOhm7opMf2s5CIUhByU71b3hyuCdI2d0XqhzUFrBTWUphy9bKAgrFo4eq3dFJmLHlFO7vD9IN/a2d0MGoQlGJVsTxhHSkZuXD3V6Nzn4uUFbhfSGimsVARGQC3O3VlWo3tK0XHNSWyMovRlZ+0d2fxcguKIYmvwjZBcUQRaBYK+JObhHu5BZVuSZBQGmYUt3bE/Xv73ZqCzjcu11lCRsrJd76NbpMGAJKe7kElA79PenvaRShgj1dRMaDq8wqgavMyNCVaEX0WBGK5Mz8csOEAMDTUY1D8/o9MEhotSJyCv8NSVn5RdDcDU1Z+UXIvuf3rPziu/uK7rb9d3txDc/3aVPPEXWdrGFjZQFblbL0p5USNqr7ft67/+5PGyslLJU1P32yop4u3btvbD1dgOn0dpnK66CHe5Tvb/YQEZkApULA4qH+mLHlFARA70tY98/84qH+D/1HX6EQ7vbgWFa5FlEUkV+kRVbBvz1QuqCUnV/aE3Xv9nvDVFJmPlKzCh56jDPXM3HmetVPRmlloagwMD0sUNlaWcBGpSz9aaWErar0p8ri33lXJVoRS3fEmExPF2A6vV2m8jqo+rGHqBLYQ0TGwtj/sY+Iv42xXx59aLsZvRvB20mNnMIS5BYUl/4sLEZOwX0/79mfV1iCwhJtjdWuVAilAcnKAoIAvc+gIlO6N0ALLwdYWyqhtlTC2lIJayvFPb8rpX33Bq7aZiq9XabyOnTY0/Vwj/L9zUBUCQxEZEyM+R/J6hr6q0hhsRZ5hSXIKSyWglNOYTFydT8LS5BTcPfnvdvL2a97fF4tXWBXEAC1xb0hSaEXmKQQdTdI6e7r2pW3X22peGjw0n0mFQW8x/1MaoupvA4dY//PT21hIKpmDEREtUf3v3ig/KE/Q/tffIlWRF7Rvz1ROQXFiLySjqU7Yh762K5+LrBRWSCvsAT5xaW9WPlFpSGr9HdtjfZqlUcQIAUntaUSoijiZiV6uzr6OsPF1kpvW8XfLmV3VNS23GHHChpXdDhRBDJyC3G6EsOsQ9t6o6GbLVSWCqgsSgOiLiiqLBRQ3fu7RWmovH+bpVKo0d489nRVHgNRNWMgIqpdxv6/3+rs6Sou0SK/WFsalO4LTHlF/97PL9Lqb7v7u+5+mf33PUdRCb8Kqosg4L4gdfdnRSHLQnl33z0h675tusdbKhSY+X0UbucUln9ssKfrXgxE1YyBiKj2GfPQH2B8PV264HV/6DpxNR3v7Dz/0MdP7eGHRu52Fe6v6JOrqCNFqOgRD/gjUPExBFxKzca6A/EVP/iup1p5wsXOCgVFpe9HQVEJCoq1KCi++7Po39/z7/m9sLh2e/IextnGEo7WlqVDpVZK2NwzLGptWXpfbaU/jKr3U/f7PffVVkrYWCphUU2rNGujp4uBqJoxEBFRVRh7TxdQ8/O6aktNvw6tVkRhifbf8HQ3LJWGpnIC1T1hqkAveN37OF27f9umaQqQpKnciVhriqVS0A9W9wQpm3vnq90fsu7us7FSQqVUYN4vZ5Fewz1dXHZPRGQABrbywpP+nkbd01Vdp3SQW02/DoVCgFpR+oUPVP20FQ9T2ZWY7/+nFZp62OsNjd47jJpXWHZYNbdQf1g2t/Df4dfcohJpnldRiYiiktLTZdQU3eWGjiekI6CRa40d514MRERENUipEGrtH/SaMrCVF9ZO6FCmt8vTyHq7TOF1dPZzgZej+qE9Xf/3RP1qDamiKN4dJiwpP2SVE7ryC++GrHtCV97dbUmZeUhMz3vocSt7WaLqwEBEREQPZQq9XYDxvw65euwEQZBO7+BUDc9X2Z6uyl6WqDowEBERUaWYQm8XYPyvw5x6ujr7udRaTQxERERERoY9XdWPq8wqgavMiIiIqp8hnYeIPUREREQkC0Pq6WIgIiIiItkYypyu6jndJBEREZERYyAiIiIis8dARERERGaPgYiIiIjMnlkFotWrV6NBgwZQq9Xo0qULjh8/LndJREREZADMJhB9//33mD17NhYvXoxTp06hbdu2CAoKQmpqqtylERERkczMJhB99NFHmDZtGqZMmQJ/f3+sW7cONjY2+Prrr+UujYiIiGRmFoGosLAQJ0+eRGBgoLRNoVAgMDAQERERMlZGREREhsAsTsx469YtlJSUwMPDQ2+7h4cHYmNjy7QvKChAQUGBdF+j0dR4jURERCQfswhEj2rZsmVYunRpme0MRkRERMZD971dmcu2mkUgcnNzg1KpREpKit72lJQUeHp6lmm/YMECzJ49W7p/48YN+Pv7w8fHp8ZrJSIiouqVlZUFR0fHB7Yxi0BkZWWFjh07Yt++fRg+fDgAQKvVYt++fQgJCSnTXqVSQaVSSfft7Oxw7do12NvbQxBq/4JzxkCj0cDHxwfXrl176BWFqebx8zAs/DwMDz8Tw1JTn4coisjKyoK3t/dD25pFIAKA2bNnY9KkSejUqRM6d+6MTz75BDk5OZgyZcpDH6tQKFCvXr1aqNL4OTg48B8XA8LPw7Dw8zA8/EwMS018Hg/rGdIxm0D0f//3f0hLS8OiRYuQnJyMdu3aYffu3WUmWhMREZH5MZtABAAhISHlDpERERGReTOL8xBRzVOpVFi8eLHe3CuSDz8Pw8LPw/DwMzEshvB5CGJl1qIRERERmTD2EBEREZHZYyAiIiIis8dARERERGaPgYiIiIjMHgMRPZZly5bhiSeegL29Pdzd3TF8+HDExcXJXRbdtXz5cgiCgJkzZ8pditm6ceMGJkyYAFdXV1hbW6N169Y4ceKE3GWZpZKSEixcuBB+fn6wtrZGo0aN8M4771TqOldUPQ4ePIihQ4fC29sbgiDg119/1dsviiIWLVoELy8vWFtbIzAwEBcvXqyV2hiI6LEcOHAAwcHBOHr0KPbu3YuioiIMGDAAOTk5cpdm9iIjI/HFF1+gTZs2cpditu7cuYPu3bvD0tISu3btQkxMDD788EM4OzvLXZpZWrFiBdauXYvPP/8c58+fx4oVK7By5Up89tlncpdmNnJyctC2bVusXr263P0rV67EqlWrsG7dOhw7dgy2trYICgpCfn5+jdfGZfdUrdLS0uDu7o4DBw6gV69ecpdjtrKzs9GhQwesWbMG7777Ltq1a4dPPvlE7rLMzvz583H48GGEh4fLXQoBGDJkCDw8PPC///1P2jZixAhYW1tjy5YtMlZmngRBwPbt26VrjIqiCG9vb8yZMwevvfYaACAzMxMeHh7YuHEjxowZU6P1sIeIqlVmZiYAwMXFReZKzFtwcDAGDx6MwMBAuUsxa7///js6deqEUaNGwd3dHe3bt8eXX34pd1lmq1u3bti3bx8uXLgAADh9+jQOHTqEQYMGyVwZAUBCQgKSk5P1/t1ydHREly5dEBERUePHN6tLd1DN0mq1mDlzJrp3745WrVrJXY7Z+u6773Dq1ClERkbKXYrZu3z5MtauXYvZs2fjjTfeQGRkJF555RVYWVlh0qRJcpdndubPnw+NRoPmzZtDqVSipKQE7733HsaPHy93aQQgOTkZAMpcY9TDw0PaV5MYiKjaBAcHIzo6GocOHZK7FLN17do1vPrqq9i7dy/UarXc5Zg9rVaLTp064f333wcAtG/fHtHR0Vi3bh0DkQx++OEHfPvtt9i6dStatmyJqKgozJw5E97e3vw8iENmVD1CQkKwc+dOhIWFoV69enKXY7ZOnjyJ1NRUdOjQARYWFrCwsMCBAwewatUqWFhYoKSkRO4SzYqXlxf8/f31trVo0QKJiYkyVWTe5s6di/nz52PMmDFo3bo1nn32WcyaNQvLli2TuzQC4OnpCQBISUnR256SkiLtq0kMRPRYRFFESEgItm/fjtDQUPj5+cldklnr378/zp49i6ioKOnWqVMnjB8/HlFRUVAqlXKXaFa6d+9e5jQUFy5cgK+vr0wVmbfc3FwoFPpfe0qlElqtVqaK6F5+fn7w9PTEvn37pG0ajQbHjh1DQEBAjR+fQ2b0WIKDg7F161b89ttvsLe3l8Z5HR0dYW1tLXN15sfe3r7M/C1bW1u4urpyXpcMZs2ahW7duuH999/H6NGjcfz4caxfvx7r16+XuzSzNHToULz33nuoX78+WrZsiX/++QcfffQRnnvuOblLMxvZ2dm4dOmSdD8hIQFRUVFwcXFB/fr1MXPmTLz77rto0qQJ/Pz8sHDhQnh7e0sr0WqUSPQYAJR727Bhg9yl0V29e/cWX331VbnLMFs7duwQW7VqJapUKrF58+bi+vXr5S7JbGk0GvHVV18V69evL6rVarFhw4bim2++KRYUFMhdmtkICwsr9ztj0qRJoiiKolarFRcuXCh6eHiIKpVK7N+/vxgXF1crtfE8RERERGT2OIeIiIiIzB4DEREREZk9BiIiIiIyewxEREREZPYYiIiIiMjsMRARERGR2WMgIiIiIrPHQERERERmj4GIiKrVlStXIAgCoqKi5C5FEhsbi65du0KtVqNdu3aP9VyCIODXX3+tlroMwb59+9CiRQvpwr9Llix54Hu0e/dutGvXjtf/IpPDQERkYiZPngxBELB8+XK97b/++isEQZCpKnktXrwYtra2iIuL07tw5P2Sk5Px8ssvo2HDhlCpVPDx8cHQoUMf+JjHsX//fgiCgIyMjBp5/sp4/fXX8dZbb1X6wr8DBw6EpaUlvv322xqujKh2MRARmSC1Wo0VK1bgzp07cpdSbQoLC6v82Pj4ePTo0QO+vr5wdXUtt82VK1fQsWNHhIaG4oMPPsDZs2exe/du9O3bF8HBwVU+dm0QRRHFxcWP/LhDhw4hPj4eI0aMeKTHTZ48GatWrXrk4xEZMgYiIhMUGBgIT09PLFu2rMI25Q2NfPLJJ2jQoIF0f/LkyRg+fDjef/99eHh4wMnJCW+//TaKi4sxd+5cuLi4oF69etiwYUOZ54+NjUW3bt2gVqvRqlUrHDhwQG9/dHQ0Bg0aBDs7O3h4eODZZ5/FrVu3pP19+vRBSEgIZs6cCTc3NwQFBZX7OrRaLd5++23Uq1cPKpUK7dq1w+7du6X9giDg5MmTePvttyEIApYsWVLu87z00ksQBAHHjx/HiBEj0LRpU7Rs2RKzZ8/G0aNHy31MeT08UVFREAQBV65cAQBcvXoVQ4cOhbOzM2xtbdGyZUv8+eefuHLlCvr27QsAcHZ2hiAImDx5svSali1bBj8/P1hbW6Nt27b46aefyhx3165d6NixI1QqFQ4dOoTTp0+jb9++sLe3h4ODAzp27IgTJ06UWzsAfPfdd3jyySehVqsrbBMfH4+GDRsiJCQEuktfDh06FCdOnEB8fHyFjyMyNgxERCZIqVTi/fffx2effYbr168/1nOFhobi5s2bOHjwID766CMsXrwYQ4YMgbOzM44dO4YXX3wRL7zwQpnjzJ07F3PmzME///yDgIAADB06FLdv3wYAZGRkoF+/fmjfvj1OnDiB3bt3IyUlBaNHj9Z7jk2bNsHKygqHDx/GunXryq3v008/xYcffoj//ve/OHPmDIKCgjBs2DBcvHgRAJCUlISWLVtizpw5SEpKwmuvvVbmOdLT07F7924EBwfD1ta2zH4nJ6eqvHUAgODgYBQUFODgwYM4e/YsVqxYATs7O/j4+ODnn38GAMTFxSEpKQmffvopAGDZsmX45ptvsG7dOpw7dw6zZs3ChAkTyoTK+fPnY/ny5Th//jzatGmD8ePHo169eoiMjMTJkycxf/58WFpaVlhbeHg4OnXqVOH+M2fOoEePHhg3bhw+//xzaci1fv368PDwQHh4eJXfFyKDIxKRSZk0aZL49NNPi6Ioil27dhWfe+45URRFcfv27eK9f+UXL14stm3bVu+xH3/8sejr66v3XL6+vmJJSYm0rVmzZmLPnj2l+8XFxaKtra24bds2URRFMSEhQQQgLl++XGpTVFQk1qtXT1yxYoUoiqL4zjvviAMGDNA79rVr10QAYlxcnCiKoti7d2+xffv2D3293t7e4nvvvae37YknnhBfeukl6X7btm3FxYsXV/gcx44dEwGIv/zyy0OPB0Dcvn27KIqiGBYWJgIQ79y5I+3/559/RABiQkKCKIqi2Lp1a3HJkiXlPld5j8/PzxdtbGzEI0eO6LV9/vnnxbFjx+o97tdff9VrY29vL27cuPGhr0HH0dFR/Oabb/S26f5cHD58WHR2dhb/+9//lvvY9u3bV/i6iIyRhWxJjIhq3IoVK9CvX79ye0Uqq2XLllAo/u1M9vDwQKtWraT7SqUSrq6uSE1N1XtcQECA9LuFhQU6deqE8+fPAwBOnz6NsLAw2NnZlTlefHw8mjZtCgDo2LHjA2vTaDS4efMmunfvrre9e/fuOH36dCVfIaShoJrwyiuvYMaMGfjrr78QGBiIESNGoE2bNhW2v3TpEnJzc/Hkk0/qbS8sLET79u31tt3fuzN79mxMnToVmzdvRmBgIEaNGoVGjRpVeKy8vLxyh8sSExPx5JNP4r333sPMmTPLfay1tTVyc3MrfG4iY8MhMyIT1qtXLwQFBWHBggVl9ikUijJBoKioqEy7+4dcBEEod9ujLMPOzs7G0KFDERUVpXe7ePEievXqJbUrb/iqJjRp0gSCICA2NvaRHqcLive+j/e/h1OnTsXly5fx7LPP4uzZs+jUqRM+++yzCp8zOzsbAPDHH3/ovTcxMTF684iAsu/PkiVLcO7cOQwePBihoaHw9/fH9u3bKzyWm5tbuRPv69Spg86dO2Pbtm3QaDTlPjY9PR116tSp8LmJjA0DEZGJW758OXbs2IGIiAi97XXq1EFycrLel3l1njvo3onIxcXFOHnyJFq0aAEA6NChA86dO4cGDRqgcePGerdHCUEODg7w9vbG4cOH9bYfPnwY/v7+lX4eFxcXBAUFYfXq1cjJySmzv6Jl8bpAkJSUJG0r7z308fHBiy++iF9++QVz5szBl19+CQCwsrICAOkcQADg7+8PlUqFxMTEMu+Nj4/PQ19L06ZNMWvWLPz111945plnyp3wrtO+fXvExMSU2W5tbY2dO3dCrVYjKCgIWVlZevvz8/MRHx9fpseKyJgxEBGZuNatW2P8+PFllkn36dMHaWlpWLlyJeLj47F69Wrs2rWr2o67evVqbN++HbGxsQgODsadO3fw3HPPASidaJyeno6xY8ciMjIS8fHx2LNnD6ZMmaIXDipj7ty5WLFiBb7//nvExcVh/vz5iIqKwquvvvrI9ZaUlKBz5874+eefcfHiRZw/fx6rVq3SG/67ly6kLFmyBBcvXsQff/yBDz/8UK/NzJkzsWfPHiQkJODUqVMICwuTgqGvry8EQcDOnTuRlpaG7Oxs2Nvb47XXXsOsWbOwadMmxMfH49SpU/jss8+wadOmCuvPy8tDSEgI9u/fj6tXr+Lw4cOIjIyUjlWeoKAgHDp0qNx9tra2+OOPP2BhYYFBgwZJPVdAadhVqVQVvi9ExoiBiMgMvP3222WGtFq0aIE1a9Zg9erVaNu2LY4fP/5Yc43ut3z5cixfvhxt27bFoUOH8Pvvv8PNzQ0ApF6dkpISDBgwAK1bt8bMmTPh5OSkN1+pMl555RXMnj0bc+bMQevWrbF79278/vvvaNKkySM9T8OGDXHq1Cn07dsXc+bMQatWrfDkk09i3759WLt2bbmPsbS0xLZt2xAbG4s2bdpgxYoVePfdd/XalJSUIDg4GC1atMDAgQPRtGlTrFmzBgBQt25dLF26FPPnz4eHhwdCQkIAAO+88w4WLlyIZcuWSY/7448/4OfnV2H9SqUSt2/fxsSJE9G0aVOMHj0agwYNwtKlSyt8zPjx43Hu3DnExcWVu9/Ozg67du2CKIoYPHiw1Hu2bds2jB8/HjY2NhW/oURGRhBrcjYhEREZtLlz50Kj0eCLL76oVPtbt26hWbNmOHHixAMDGpGxYQ8REZEZe/PNN+Hr61vpSfFXrlzBmjVrGIbI5LCHiIiIiMwee4iIiIjI7DEQERERkdljICIiIiKzx0BEREREZo+BiIiIiMweAxERERGZPQYiIiIiMnsMRERERGT2GIiIiIjI7P0/yz6lhfMp0X4AAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "23djObS0Asvb",
        "outputId": "3afdec32-fce4-4dec-fb4f-36f81703ebfa"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**5. Silhouette Score**"
      ],
      "metadata": {
        "id": "F5dhixVLAsvb"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics import silhouette_score\n",
        "\n",
        "silhouette_scores = []\n",
        "for k in range(2, 11):\n",
        "    kmeans = KMeans(n_clusters=k, random_state=42)\n",
        "    kmeans.fit(X)\n",
        "    score = silhouette_score(X, kmeans.labels_)\n",
        "    silhouette_scores.append(score)\n",
        "\n",
        "plt.plot(range(2, 11), silhouette_scores, marker='o')\n",
        "plt.title('Silhouette Score for Optimal k')\n",
        "plt.xlabel('Number of Clusters (k)')\n",
        "plt.ylabel('Silhouette Score')\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "DldQiH_VAsvc",
        "outputId": "dd2f01dc-40ff-4f83-af98-66cfea83b04a"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**6. Visualize Cluster Centroid Changes**"
      ],
      "metadata": {
        "id": "dUV4xBDtAsvc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "from sklearn.datasets import make_blobs\n",
        "from sklearn.cluster import KMeans\n",
        "\n",
        "# Generate a dataset with 4 blobs\n",
        "X, y_true = make_blobs(n_samples=300, centers=4, cluster_std=0.60, random_state=0)\n",
        "\n",
        "# Initialize KMeans with 4 clusters\n",
        "kmeans = KMeans(n_clusters=4, random_state=0, max_iter=10)\n",
        "\n",
        "# Fit the model to the data first\n",
        "kmeans.fit(X)\n",
        "\n",
        "# Now you can access cluster_centers_ after fitting the model\n",
        "centroids = [kmeans.cluster_centers_]\n",
        "\n",
        "# Get cluster assignments for each data point\n",
        "labels = kmeans.fit_predict(X)\n",
        "\n",
        "# Plot the data points and the initial cluster centers\n",
        "plt.scatter(X[:, 0], X[:, 1], s=50, c=labels, cmap='viridis')  # Use labels for coloring\n",
        "plt.scatter(centroids[0][:, 0], centroids[0][:, 1], c='red', marker='x', s=100, label='Initial Centroids')\n",
        "\n",
        "# Since we already fit the model above, this loop is not necessary for visualizing initial centroids\n",
        "# If you want to visualize centroids during iterations, you would need to modify the logic to fit and store centroids within the loop\n",
        "\n",
        "plt.title(\"K-means Clustering with Centroid Changes\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "5mcM-Bz7Asvc",
        "outputId": "dcc7b88e-064b-4a08-a3cb-ae9f217944fd"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "This code will visualize the change in cluster centroids after each iteration, providing insights into the convergence of the K-means algorithm.\n",
        "\n"
      ],
      "metadata": {
        "id": "qjlhbHdmAsvd"
      }
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}