Customer_segmentation.ipynb

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        "# **Customer Segmentation** \n",
        "Customer segmentation is the method of distributing a customer base into collections of people based on mutual characteristics so organizations can market to group efficiently and competently individually.\n",
        "\n",
        "The purpose of segmenting customers is to determine how to correlate to customers in multiple segments to maximize customer benefits. Perfectly done customer segmentation empowers marketers to interact with every customer in the best efficient approach."
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        "The data includes the following features:\n",
        "\n",
        "1. Customer ID\n",
        "\n",
        "2. Customer Gender\n",
        "\n",
        "3. Customer Age\n",
        "\n",
        "4. Annual Income of the customer (in Thousand Dollars)\n",
        "\n",
        "5. Spending score of the customer (based on customer behaviour and spending nature)"
      ],
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      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "import warnings\n",
        "warnings.filterwarnings('ignore')"
      ]
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      "source": [
        "df=pd.read_csv(\"/content/Mall_Customers.csv\")"
      ]
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              "   CustomerID  Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
              "0           1    Male   19                  15                      39\n",
              "1           2    Male   21                  15                      81\n",
              "2           3  Female   20                  16                       6\n",
              "3           4  Female   23                  16                      77\n",
              "4           5  Female   31                  17                      40"
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              "(200, 5)"
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              "       CustomerID         Age  Annual Income (k$)  Spending Score (1-100)\n",
              "count  200.000000  200.000000          200.000000              200.000000\n",
              "mean   100.500000   38.850000           60.560000               50.200000\n",
              "std     57.879185   13.969007           26.264721               25.823522\n",
              "min      1.000000   18.000000           15.000000                1.000000\n",
              "25%     50.750000   28.750000           41.500000               34.750000\n",
              "50%    100.500000   36.000000           61.500000               50.000000\n",
              "75%    150.250000   49.000000           78.000000               73.000000\n",
              "max    200.000000   70.000000          137.000000               99.000000"
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              "      <th>mean</th>\n",
              "      <td>100.500000</td>\n",
              "      <td>38.850000</td>\n",
              "      <td>60.560000</td>\n",
              "      <td>50.200000</td>\n",
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              "      <th>std</th>\n",
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              "      <td>1.000000</td>\n",
              "      <td>18.000000</td>\n",
              "      <td>15.000000</td>\n",
              "      <td>1.000000</td>\n",
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              "      <th>25%</th>\n",
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              "      <td>34.750000</td>\n",
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              "      <th>50%</th>\n",
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              "      <td>61.500000</td>\n",
              "      <td>50.000000</td>\n",
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              "      <th>75%</th>\n",
              "      <td>150.250000</td>\n",
              "      <td>49.000000</td>\n",
              "      <td>78.000000</td>\n",
              "      <td>73.000000</td>\n",
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              "      <td>70.000000</td>\n",
              "      <td>137.000000</td>\n",
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          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 200 entries, 0 to 199\n",
            "Data columns (total 5 columns):\n",
            " #   Column                  Non-Null Count  Dtype \n",
            "---  ------                  --------------  ----- \n",
            " 0   CustomerID              200 non-null    int64 \n",
            " 1   Gender                  200 non-null    object\n",
            " 2   Age                     200 non-null    int64 \n",
            " 3   Annual Income (k$)      200 non-null    int64 \n",
            " 4   Spending Score (1-100)  200 non-null    int64 \n",
            "dtypes: int64(4), object(1)\n",
            "memory usage: 7.9+ KB\n"
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              "count        200\n",
              "unique         2\n",
              "top       Female\n",
              "freq         112\n",
              "Name: Gender, dtype: object"
            ]
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        "df['Gender'].describe()"
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        "plt.figure(figsize=(8,7))\n",
        "sns.countplot(df[\"Gender\"])\n",
        "plt.xlabel(\"Gender\",fontsize = 15)\n",
        "plt.show()"
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              "<Figure size 576x504 with 1 Axes>"
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            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAGuCAYAAABmw/QbAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAAVgElEQVR4nO3de7SldX3f8c9XBgraiMiMiIAZGmlSQ9OgI2Jsu4iYxEsjJqVWG5NRSelqqYmJbSG9SNQk1YQWielKylIEbZY3vIC3GIuSrLaGOKNGBIJOiSiUy4h4jQmiv/6xn4nbyRk4czlnn/Pl9Vprr7P3s5+9n++w1vCe5zl7P0+NMQIArG8PWPQAAMD+E3QAaEDQAaABQQeABgQdABrYsOgB9sfGjRvH5s2bFz0GAKyK7du3f36MsWmp59Z10Ddv3pxt27YtegwAWBVVddOennPIHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABjYsegCAeZ992d9d9Aiw3x75kmtWfZv20AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGlixoFfVxVV1R1V9cm7ZQ6vqA1X16ennEdPyqqrfrKodVfWJqnrMSs0FAB2t5B76JUmestuyc5NcOcY4IcmV0+MkeWqSE6bbWUl+ewXnAoB2VizoY4w/TPKF3RafnuTS6f6lSZ45t/z1Y+aPkjykqo5eqdkAoJvV/h36UWOMW6f7tyU5arp/TJLPza1387Tsr6mqs6pqW1Vt27lz58pNCgDryMI+FDfGGEnGPrzuojHGljHGlk2bNq3AZACw/qx20G/fdSh9+nnHtPyWJMfNrXfstAwAWIbVDvoVSbZO97cmuXxu+c9Mn3Y/JcmX5g7NAwD3YcNKvXFVvTHJqUk2VtXNSc5L8ookb6mqM5PclORZ0+rvTfK0JDuS/HmS56/UXADQ0YoFfYzxnD08ddoS644kZ6/ULADQnTPFAUADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAAxsWPcBa9Nh/+/pFjwAHxPbf+JlFjwCsEnvoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAMLCXpV/UJVXVtVn6yqN1bVoVV1fFVdXVU7qurNVXXIImYDgPVo1YNeVcck+bkkW8YYJyY5KMmzk7wyyQVjjEcluSvJmas9GwCsV4s65L4hyWFVtSHJA5PcmuRJSS6bnr80yTMXMxoArD+rHvQxxi1Jzk/y2cxC/qUk25N8cYxxz7TazUmOWer1VXVWVW2rqm07d+5cjZEBYM1bxCH3I5KcnuT4JI9I8qAkT1nu68cYF40xtowxtmzatGmFpgSA9WURh9yfnOTPxhg7xxjfSPL2JE9M8pDpEHySHJvklgXMBgDr0iKC/tkkp1TVA6uqkpyW5LokH0pyxrTO1iSXL2A2AFiXFvE79Ksz+/DbR5NcM81wUZJzkvxiVe1IcmSS1672bACwXm2471UOvDHGeUnO223xjUlOXsA4ALDuOVMcADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANLCvoVXXlcpYBAIux4d6erKpDkzwwycaqOiJJTU89OMkxKzwbALBM9xr0JP8iyYuSPCLJ9nw76F9O8lsrNxYAsDfuNehjjAuTXFhVLxxjvHqVZgIA9tJ97aEnScYYr66qH0qyef41Y4zX78tGq+ohSV6T5MQkI8kLktyQ5M3TNj6T5FljjLv25f0B4P5muR+Ke0OS85P8/SSPm25b9mO7Fyb5vTHG9yX5e0muT3JukivHGCckuXJ6DAAsw7L20DOL96PHGGN/N1hVhyf5h0melyRjjLuT3F1Vpyc5dVrt0iRXJTlnf7cHAPcHy/0e+ieTPPwAbfP4JDuTvK6qPlZVr6mqByU5aoxx67TObUmOWurFVXVWVW2rqm07d+48QCMBwPq23KBvTHJdVb2/qq7YddvHbW5I8pgkvz3GOCnJ17Lb4fXpSMCSRwPGGBeNMbaMMbZs2rRpH0cAgF6We8j9lw/gNm9OcvMY4+rp8WWZBf32qjp6jHFrVR2d5I4DuE0AaG25n3L/gwO1wTHGbVX1uar63jHGDUlOS3LddNua5BXTz8sP1DYBoLtlBb2qvpJvHwI/JMnBSb42xnjwPm73hUl+t6oOSXJjkudndvj/LVV1ZpKbkjxrH98bAO53lruH/l277ldVJTk9ySn7utExxsez9NfeTtvX9wSA+7O9vtramHlnkh878OMAAPtiuYfcf3Lu4QMy27v+ixWZCADYa8v9lPuPz92/J7NTs55+wKcBAPbJcn+H/vyVHgQA2HfLPZf7sVX1jqq6Y7q9raqOXenhAIDlWe6H4l6X5IrMrov+iCTvmpYBAGvAcoO+aYzxujHGPdPtkiTOuwoAa8Ryg35nVT23qg6abs9NcudKDgYALN9yg/6CzM7cdluSW5OckenypwDA4i33a2svS7J1jHFXklTVQ5Ocn1noAYAFW+4e+g/sinmSjDG+kOSklRkJANhbyw36A6rqiF0Ppj305e7dAwArbLlR/i9JPlxVb50e/5Mkv7oyIwEAe2u5Z4p7fVVtS/KkadFPjjGuW7mxAIC9sezD5lPARRwA1qC9vnwqALD2CDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAAwsLelUdVFUfq6p3T4+Pr6qrq2pHVb25qg5Z1GwAsN4scg/955NcP/f4lUkuGGM8KsldSc5cyFQAsA4tJOhVdWySpyd5zfS4kjwpyWXTKpcmeeYiZgOA9WhRe+ivSvLvknxrenxkki+OMe6ZHt+c5JilXlhVZ1XVtqratnPnzhUfFADWg1UPelX9oyR3jDG278vrxxgXjTG2jDG2bNq06QBPBwDr04YFbPOJSZ5RVU9LcmiSBye5MMlDqmrDtJd+bJJbFjAbAKxLq76HPsb4pTHGsWOMzUmeneSDY4yfSvKhJGdMq21NcvlqzwYA69Va+h76OUl+sap2ZPY79dcueB4AWDcWccj9r4wxrkpy1XT/xiQnL3IeAFiv1tIeOgCwjwQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGgAUEHgAYEHQAaEHQAaEDQAaABQQeABgQdABoQdABoQNABoAFBB4AGBB0AGhB0AGhA0AGggVUPelUdV1Ufqqrrquraqvr5aflDq+oDVfXp6ecRqz0bAKxXi9hDvyfJi8cYj05ySpKzq+rRSc5NcuUY44QkV06PAYBlWPWgjzFuHWN8dLr/lSTXJzkmyelJLp1WuzTJM1d7NgBYrxb6O/Sq2pzkpCRXJzlqjHHr9NRtSY7aw2vOqqptVbVt586dqzMoAKxxCwt6Vf3NJG9L8qIxxpfnnxtjjCRjqdeNMS4aY2wZY2zZtGnTKkwKAGvfQoJeVQdnFvPfHWO8fVp8e1UdPT1/dJI7FjEbAKxHi/iUeyV5bZLrxxj/de6pK5Jsne5vTXL5as8GAOvVhgVs84lJfjrJNVX18WnZv0/yiiRvqaozk9yU5FkLmA0A1qVVD/oY438lqT08fdpqzgIAXThTHAA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANCDoANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADQg6ADQg6ADQgKADQAOCDgANrKmgV9VTquqGqtpRVecueh4AWC/WTNCr6qAk/y3JU5M8OslzqurRi50KANaHNRP0JCcn2THGuHGMcXeSNyU5fcEzAcC6sGHRA8w5Jsnn5h7fnOTxu69UVWclOWt6+NWqumEVZmNlbEzy+UUP0Vmdv3XRI7A2+bu30s6rlXrn797TE2sp6MsyxrgoyUWLnoP9V1XbxhhbFj0H3N/4u9fTWjrkfkuS4+YeHzstAwDuw1oK+keSnFBVx1fVIUmeneSKBc8EAOvCmjnkPsa4p6r+dZL3JzkoycVjjGsXPBYry69OYDH83WuoxhiLngEA2E9r6ZA7ALCPBB0AGhB0DqiqGlX1P+Yeb6iqnVX17vt43an3tQ6QVNU3q+rjc7fNK7itz1TVxpV6fw6sNfOhONr4WpITq+qwMcbXk/xIfP0QDqSvjzF+cNFDsPbYQ2clvDfJ06f7z0nyxl1PVNXJVfXhqvpYVf2fqvre3V9cVQ+qqour6o+n9ZwCGO5FVT22qv6gqrZX1fur6uhp+VVVdUFVbauq66vqcVX19qr6dFX9ytzr3zm99trpbJxLbeO509/Jj1fVf5+uv8EaIuishDcleXZVHZrkB5JcPffcnyb5B2OMk5K8JMmvLfH6/5Dkg2OMk5P8cJLfqKoHrfDMsF4cNne4/R1VdXCSVyc5Y4zx2CQXJ/nVufXvns4K9ztJLk9ydpITkzyvqo6c1nnB9NotSX5ubnmSpKr+TpJ/muSJ09GBbyb5qZX7I7IvHHLngBtjfGL6vd5zMttbn3d4kkur6oQkI8nBS7zFjyZ5RlX9m+nxoUkemeT6lZkY1pXvOOReVSdmFugPVFUyO4/HrXPr7zpB1zVJrh1j3Dq97sbMzs55Z2YR/4lpveOSnDAt3+W0JI9N8pFpG4clueOA/qnYb4LOSrkiyflJTk0y/6/9lyf50BjjJ6boX7XEayvJPx5juPAO3LfKLNRP2MPzfzn9/Nbc/V2PN1TVqUmenOQJY4w/r6qrMvtH9O7buHSM8UsHamgOPIfcWSkXJ3npGOOa3ZYfnm9/SO55e3jt+5O8sKZdgao6aUUmhB5uSLKpqp6QJFV1cFV9/168/vAkd00x/74kpyyxzpVJzqiqh03beGhV7fGqXyyGoLMixhg3jzF+c4mnfj3Jf66qj2XPR4hentmh+E9U1bXTY2AJY4y7k5yR5JVV9SdJPp7kh/biLX4vsz3165O8IskfLbGN65L8xyS/X1WfSPKBJEfv5+gcYE79CgAN2EMHgAYEHQAaEHQAaEDQAaABQQeABgQdGqqqZ1bV71fVnVV1d1XdUlWXVdVTVnGGy6aTlACrQNChmaq6IMnbMjuBz89mdhawczM7Xef7qup7FjgesEKc+hUama5M96Ikzx9jXLLb02+oqh9P8vXVnmt/zF2KF7gX9tChlxcl+cgSMU+SjDHeNcb4f0lSVQ+oqnOrakdV/WVVfaqqts6vP11+87Kq+mfTel+uqvdV1bG7rXdcVb23qr5eVZ+pqp9davtVdWJVvaeqvjLd3lpVD597/tSqGlX1Y1V1RVV9Nclv7d9/Erh/sIcOTVTVhiRPyOyiOMvx6iRbk7wsyUeT/EiSi6vqzjHGu+fWe3ySRyR5cWaH7S9MclGSp03brcwuy7kxyZlJ/iLJS5M8NMmn5+Z7VJL/nWRbkudm9v+flyd5V1WdPL7ztJWvTfK6JK+a3g+4D4IOfRyZ5G8k+dz8wim4B80t+maS70nyLzM7NH/ptPx/VtXRSc5LMh/0Byd5+hjjrun9Hp7kgrlD4U9NclKSU8YYV0/rbE/yfzMX9Ol9b0vy1On845nOC/6nmf3j4D1z6751jPGf9um/AtxPOeQO/ex+gYYXJ/nG3O3szK5v/a0k76iqDbtumV1V6werav4fAB/ZFfPJddPPY6afJye5fVfMk2SMcVOS7bvN8eQk70jyrbnt/VmSzyTZstu67wmwVwQd+rgzs+tdH7vb8jckedx022VjZnvtX8p3xv6SzI7czV9J64u7vd/d089d18x+eJI7lphn92Ubk5yz2/a+keRvJTlut3VvX+L9gHvhkDs0Mca4p6o+nORHk7xkbvntmQI5XWI+Sb6Q5J4kT8xsT313SwV6T25L8rAllj8s3/mJ+i9ktof+miXW/fxuj10GEvaSoEMvr0ryzqr66THGG+5lvQ9mtod++BjjA/u5zY8kOa+qHj/3O/RHJnlMZh+C2+XKJN+fZPtw3WY44AQdGhljXF5Vr0pySVX9cJJ3Zbb3e2Rme+5J8tUxxg1V9TtJ3lRVv57ZJ88PzSy4f3uMseTXzvbgvUn+JMlbq+qczA77vzR/fS//l5P8cZL3VNXF01zHZPbp+kvGGFft5R8XmCPo0MwY4xeq6g+T/KvMvv71XUl2JvlwkqeNMd43rXp2kk8l+eeZfXXty5l94O21e7m9UVXPyOyrbBdnFvJfyyzUG+fW+1RVnZLkV6Z1D8vsbHZXJtmxT39Y4K+UI18AsP75lDsANCDoANCAoANAA4IOAA0IOgA0IOgA0ICgA0ADgg4ADfx/a7YnDpxvBnUAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(10,8))\n",
        "sns.distplot(df[\"Age\"],color = \"Green\")\n",
        "plt.xlabel(\"Age\",fontsize = 15)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 502
        },
        "id": "xNlvZzAK_s0v",
        "outputId": "e140254f-e9e4-4122-fb4d-f0fd13f6b597"
      },
      "id": "xNlvZzAK_s0v",
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": 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1qsCyQ67jnMsDtgMVD1rnbGCmc67wnDdDAodGHzAzK97YIn5MWDqB8Vnjue+E+yiTWMZ3nBKTFJdE97rdmbt+Lut3rfcdR0QkZIX0hQhm1oyCQ6bXFlp8UeCw6YmBxyW/89mBZjbdzKZv3Lgx+GFFjoJzjnu/uZdaqbW4vsP1vuOUuK51uxIXE8c3S7/xHUVEJGQFs7StBmoVel0zsOyQ65hZHFAW2Bx4XRP4HLjUOffbyS7OudWBrzuBDyg4DPs/nHODnXPtnXPtK1WqVCwDEgmWLxd+ydTVU3mo60MkxSX5jlPiUhNTObbGsUxeOZnd+3b7jiMiEpKCWdqmAQ3NrJ6ZJQADgOEHrTOcggsNAM4BJjjnnJmVA74G7nHO/XhgZTOLM7O0wPN44FRgXhDHIBJ0+/P3c/+E+zmm4jFc1vqyw38gQvWo14Pc/Fy+W/Gd7ygiIiEpaKUtcI7aTcAYYAHwiXPuFzN71MxOD6z2JlDRzDKB24EDtwW5CUgHHjzo1h6JwBgzmwvMpmBP3evBGoNISXg/433mb5zPoO6DiIuJ8x3HmxqpNWiS1oRvl36rieRFRA4hqP9DOOdGAiMPWvZgoefZwLmH+NxjwGO/s9l2xZlRxKd9+/fx0LcP0bZaW85uerbvON71rN+TF6e+yPQ1031HEREJOdH7a71ICBg8YzDLti3jtVNeI8ZC+rqgEtGsUjOqpVRjfNZ4nHPo4nARkf+n/yVEPNm9bzePffcYXet0jchJ4f8MM6NHvR6s3LGS75br3DYRkcJU2kQ8eWHKC6zfvZ4nejyhPUqFHFvzWFISUnj252d9RxERCSkqbSIebNm7had+fIrTGp1G51qdfccJKQmxCXSt05URC0ewePNi33FEREKGSpuIB0/9+BQ7cnbw+EmP+44SkrrW6Up8bDwvTHnBdxQRkZCh0iZSwtbuXMu/pvyLC1tcSIsqLXzHCUllk8pyYYsLGTJ7CFv3bvUdR0QkJKi0iZSwx79/nNz8XB7p9ojvKCHttk63sSd3D4NnDPYdRUQkJKi0iZSgFdtX8PrM17my9ZU0qNDAd5yQ1rJKy9/u25a7P9d3HBER73SfNpES9Ph3Beew3d/lfs9JwsNtnW7jlA9O4dP5n3Jhiwt9x/kfob4XcGC7gb4jiEgx0p42kRKydOtS3pr9Fte0vYbaZWv7jhMW+qb3pXFaY5796Vmcc77jiIh4pdImUkIGfTeIWIvl3hPu9R0lbMRYDH859i/MWDuD71d87zuOiIhXKm0iJWDx5sW8O+ddrm9/PTVSa/iOE1YuaXUJFUtV5NmfdLNdEYluKm0iJWDQd4NIiE3g7hPu9h0l7JSOL80NHW5g+MLhutmuiEQ1lTaRIPt106+8n/E+N3a4kaopVX3HCUs3dLiB+Nh4nv/5ed9RRES8UWkTCbJHJj1CqbhS3HX8Xb6jhK2qKVW5uMXFDJk9hM17NvuOIyLihUqbSBDN2zCPj+d9zC3H3kKl5Eq+44S12zvfzt68vbw2/TXfUUREvFBpEwmih799mJSEFO7ofIfvKGGvWeVm9GnQh5emvUROXo7vOCIiJU6lTSRIZq+bzX8W/Ie/dPoLFUtX9B0nItzR+Q7W7VrHh/M+9B1FRKTEqbSJBMnD3z5M2cSy3N75dt9RIkbP+j1pUbmFbrYrIlFJpU0kCKavmc6XC7/kjs53UC6pnO84EcPMuL3z7WRsyGBc1jjfcURESpRKm0gQPPTtQ1QoVYFbO93qO0rEuaD5BVRNqaqb7YpI1FFpEylmS7cuZeTikdzZ+U5SE1N9x4k4iXGJ3NzxZsYsGcO8DfN8xxERKTEqbSLF7OvFX1OhVAVu6niT7ygR67r211E6vjRPT37adxQRkRKj0iZSjFZsX0HGhgxu63QbZRLL+I4TsSqUqsA1ba/h/Yz3Wb5tue84IiIlQqVNpBh9vehrSsWV4uaON/uOEvHuPO5ODOOfk//pO4qISIlQaRMpJqt2rGL2+tn0qNeDskllfceJeDVTa3JZq8t4Y+YbrNu1znccEZGgU2kTKSYjF48kKS6Jk+qd5DtK1Ljr+LvIzc/luZ+e8x1FRCToVNpEisGanWuYuXYm3et2Jzkh2XecqNGwYkPOa3Yer0x/ha17t/qOIyISVCptIsVg1OJRJMQm0LN+T99Ros69J9zLrn27eGnqS76jiIgElUqbyFFav2s909ZMo2udrqQkpPiOE3VaVmnJaY1O4/kpz7Nr3y7fcUREgkalTeQojcocRVxMHL0a9PIdJWrdd+J9bNm7hcEzBvuOIiISNCptIkdh055NTFk9hS51umj2A4861exE97rdeXry0+Tk5fiOIyISFCptIkdh7JKxxFgMvRv09h0l6t1/4v2s3bWWt2e/7TuKiEhQqLSJ/Ek7cnYweeVkOtXoRLmkcr7jRL2T6p3EsTWO5e8//F1720QkIqm0ifxJE5ZOIC8/T3vZQoSZ8Wj3R1mxfQVvzHzDdxwRkWKn0ibyJ2TnZTNp+STaVG1DlZQqvuNIQK/6vehSpwuPff8Ye3L3+I4jIlKsVNpE/oTvl3/Pntw99Env4zuKFGJmDOo+iHW71vHKtFd8xxERKVYqbSJHKHd/LuOzxnNMxWOoW66u7zhykC51utC7QW+e/OFJduTs8B1HRKTYqLSJHKGpq6eyLWcbfdP7+o4iv+Ox7o+xee9m/vnjP31HEREpNiptIkcg3+UzZskYaqXWoklaE99x5Hd0qNGBAc0H8MxPz7B6x2rfcUREioVKm8gRmLNuDut3r6dPeh/MzHcc+QN/P+nv7Hf7eWDiA76jiIgUC5U2kSJyzjF6yWjSSqfRtmpb33HkMOqVr8ctHW/h7dlvM2fdHN9xRESOmkqbSBEt3rKYZduW0btBb2JjYn3HkSK478T7KF+qPLePvR3nnO84IiJHRaVNpIjGZ40nOT6ZzjU7+44iRVS+VHke6fYIE5ZOYNj8Yb7jiIgcFZU2kSLYuHsjc9fPpUudLiTEJviOI0fguvbX0bpqa24bcxu79u3yHUdE5E+L8x1AJBxMXDYRM6Nb3W5FWn/wjMHBDSRFFhcTx8snv8zxbx3PY989xpM9n/QdSUTkT9GeNpHDyM7L5seVP9KuWjtNDB+mjqt1HJe3vpxnfnqGBRsX+I4jIvKnqLSJHMbklZPJzsumR70evqPIUfhHz3+QmpjKlcOvZH/+ft9xRESOmEqbyB/Id/lMXDqReuXqUa98Pd9x5ChUTq7Mv/r+i59X/cwLU17wHUdE5IiptIn8gXkb5rFhzwbtZYsQF7a4kNMancb9E+5n8ebFvuOIiBwRlTaRPzBh6QTKJZWjbTXdTDcSmBmvnfoaSXFJXPHlFeTl5/mOJCJSZEEtbWbW18wWmlmmmd1ziPcTzezjwPtTzKxuYHkvM5thZhmBrycV+ky7wPJMM/uXaS4hCZLVO1azYNMCutXtppvpRpDqZarzUr+X+HHljwyaNMh3HBGRIgtaaTOzWOBloB/QFLjAzJoetNpVwFbnXDrwHPCPwPJNwGnOuRbAZcDQQp95FbgGaBh49A3WGCS6TVg2gfiYeE6sfaLvKFLMLmp5EZe1uoxB3w1i4tKJvuOIiBRJMPe0dQQynXNZzrl9wEdA/4PW6Q+8E3g+DOhhZuacm+WcWxNY/gtQKrBXrhqQ6pz72RXMSfMucEYQxyBRate+XUxZNYVjaxxLSkKK7zgSBC+d/BKNKjbios8uYuPujb7jiIgcVjBLWw1gZaHXqwLLDrmOcy4P2A5UPGids4GZzrmcwPqrDrNNkaP244ofyc3P5aR6Jx1+ZQlLKQkpfHzOx2zZu4VzPz2Xffv3+Y4kIvKHQvpCBDNrRsEh02v/xGcHmtl0M5u+caN+i5aiy3f5/LDiB9IrpFMjVb8TRLJWVVvxVv+3mLR8Ejd+faMmlReRkBbM0rYaqFXodc3AskOuY2ZxQFlgc+B1TeBz4FLn3JJC69c8zDYBcM4Nds61d861r1Sp0lEORaLJos2L2LBng85lixIXtriQ+064jzdmvaH7t4lISAtmaZsGNDSzemaWAAwAhh+0znAKLjQAOAeY4JxzZlYO+Bq4xzn344GVnXNrgR1m1ilw1eilwJdBHINEoe9XfE/p+NK6zUcUGXTSIM5sfCa3j7mdDzI+8B1HROSQglbaAueo3QSMARYAnzjnfjGzR83s9MBqbwIVzSwTuB04cFuQm4B04EEzmx14VA68dwPwBpAJLAFGBWsMEn125uxk1tpZdKrZiYTYBN9xpITEWAzvn/U+Xet25dLPL+WLX7/wHUlE5H/EBXPjzrmRwMiDlj1Y6Hk2cO4hPvcY8NjvbHM60Lx4k4oU+GnVT+x3+3VoNAqVii/F8AHD6TW0F+cPO5/PzvuMUxqd4juWiMhvirSnzcw+M7NTzCykL1wQORrOOb5f8T0NyjegepnqvuOIB2USyzDqolE0r9yc/h/1553Z7xz+QyIiJaSoJewV4EJgsZk9aWbHBDGTiBeLNi9iw+4NnFhHe9miWflS5Zl42US61e3G5V9ezpM/PKmrSkUkJBSptDnnxjvnLgLaAsuA8WY22cyuMLP4YAYUKSkHLkBoV62d7yjiWWpiKiMvGskFzS/g3m/uZcB/BrAzZ6fvWCIS5Yp8uNPMKgKXA1cDs4AXKChx44KSTKQE7dq3i1nrZnFsjWN1AYIAkBCbwHtnvceTPZ5k2PxhdHi9A3PXz/UdS0SiWFHPafsc+B4oTcGcoKc75z52zt0MaI4fCXs/rfqJvPw8XYAg/yXGYrj7hLuZcOkEtudsp93gdjww4QFy8nJ8RxORKFTUPW2vO+eaOueeCNwrDTNLBHDOtQ9aOpES4Jzj++XfU798fc2AIIfUtW5XMq7P4ILmF/DY94/R6rVWfLXoK53rJiIlqqil7VC33/ipOIOI+LJ4y2LW716vvWzyh9JKp/Hume8y+qLR7Hf7Oe3D03jmp2fI3JLpO5qIRIk/vE+bmVWlYEL2UmbWBrDAW6kUHCoVCXs/rvyRpLgk2lfXTmM5vD7pfZh/w3zemPkG93xzD/+c/E/ql69Pr/q9aFWlFbExsb4jikiEOtzNdftQcPFBTeDZQst3AvcFKZNIicnOy2bm2pl0rN5RFyBIkcXHxnN9h+vJy89j8srJjF86nn/P+Depial0qtGJzrU6615/IlLs/rC0OefeAd4xs7Odc/8poUwiJWbm2pns27+PzrU6+44iYSgxLpHu9brTpU4XMjZk/FbgxmaNpW65uhxX8zjaVW9HSoKu1xKRo3e4w6MXO+feA+qa2e0Hv++ce/YQHxMJGz+t+onKpSvToHwD31EkjMXGxNK6amtaV23NjpwdTF09lckrJ/PBvA/46JePaFapGR2qd6BV1VYkxSX5jisiYepwh0eTA1/1a6JEnE17NrFo8yJOb3Q6Znb4D4gUQWpiKj3r96RHvR6s3LGSaaunMW3NNDI2ZBAfE0/LKi3pXLMzzSo3I0YzA4rIETjc4dF/B74+UjJxRErOlFVTADi25rGek0gkMjNql61N7bK1ObPJmWRtzWLq6qnMWDuDGWtnUC6pHMfVOo6udbpSLqmc77giEgYOt6cNADN7ioLbfuwFRgMtgdsCh05Fwo5zjp9X/Uyjio1IK53mO45EuBiLIb1COukV0jmv2XnMXT+XH1f+yKjFoxidOZr21dvTp0EfaqbW9B1VREJYkUob0Ns5d5eZnUnB3KNnAd8BKm0SlpZtW8aGPRvo27Cv7ygSZeJi4mhbrS1tq7Vl4+6NTFg2gR9X/MjU1VNpV60dpzU6jWplqvmOKSIhqKil7cB6pwCfOue26xwgCWdT10wlLiaONlXb+I4iUaxSciXOb3Y+pzY8lXFZ45iwdAKz1s2iW91unN7odErFl/IdUURCSFFL21dm9isFh0evN7NKQHbwYokET77LZ8aaGTSv1JzS8bpHtPiXnJDMGY3PoEe9HgxfNJyJSycyfc10zm92vm76LCK/KdKlS865e4DjgPbOuVxgN9A/mMFEgmXx5sVsz9lOhxodfEcR+S9lEstwUYuLuOeEeyifVJ7XZ77OkFlD2Ju713c0EQkBRd3TBtCYgvu1Ff7Mu8WcRyTopq2ZRmJsIi2rtPQdReSQ6pary93H383IxSP5evHXLN6ymOvaX0ftsrV9RxMRj4q0p83MhgJPAycAHQIP7bOXsJOXn8fMtTNpVaWVpq2SkBYbE8tpx5zGX4//K/kun6d+fIppa6b5jiUiHhV1T1t7oKlzzgUzjEiwLdi4gN25u2lfQ79zSHhoUL4B9514H69Nf403Zr7B2p1rOa3RabohtEgUKurtuOcBVYMZRKQkTFszjdLxpWlWqZnvKCJFlpqYyu2db+f4Wsfz9eKv+XDeh+S7fN+xRKSEFXVPWxow38ymAjkHFjrnTg9KKpEg2Ld/H7PXzaZ99fbExRzJ6Zwi/sXFxHFJy0tITkhm7JKx7M3dy+WtLyc2JtZ3NBEpIUX9n+vhYIYQKQkZ6zPI2Z+jq0YlbJkZZzc5m+T4ZD7/9XMcjivbXKk5TEWiRJFKm3NukpnVARo658abWWlAv95JWJm2ZhqpiakcU/EY31FEjkrf9IKZPD7/9XMS4xK5uMXFOsdNJAoUde7Ra4CBQAWgAVADeA3oEbxoIsVnb+5eMjZkcGLtE7VXQiJC3/S+ZOdlMypzFKXiSnFO03N8RxKRICvq4dEbgY7AFADn3GIzqxy0VCLFbPb62eTl59Ghug6NSuTof0x/9ubtZVzWONJKp9GtbjffkUQkiIpa2nKcc/sO7H4P3GBXt/+QsDF99XQqlqpI/fL1fUcRKTZmxvnNzmfzns18/MvHpJVOo3nl5r5jiUiQFPU40SQzuw8oZWa9gE+BEcGLJVJ8du3bxfxN82lXvZ3O+5GIE2MxXN32aqqXqc7rM19nzc41viOJSJAUtbTdA2wEMoBrgZHA34IVSqQ4zVk3h3yXT/tquqGuRKakuCRu6nATCbEJvDb9Nc1VKhKhijphfD7wBXCDc+4c59zrmh1BwsWsdbOoWKqi5m2UiFa+VHmuaXsNG/ds5J0576B/okUizx+e02YFx5IeAm4iUPDMbD/wonPu0eDHEzk62XnZLNi0gC51uujQaJgZPGOw7whhp1HFRpzV+CyGLRjG2KyxXNv+Wt+RRKQYHW5P223A8UAH51wF51wF4FjgeDO7LejpRI7SLxt+IS8/jzZV2/iOIlIietbvSdtqbfni1y/4edXPvuOISDE6XGm7BLjAObf0wALnXBZwMXBpMIOJFIdZ62aRkpBCeoV031FESoSZcWnLSymfVJ4L/3MhO3J2+I4kIsXkcKUt3jm36eCFzrmNQHxwIokUj7z8PDI2ZNCqSivdUFeiSqn4UlzV5iqWb1/OTSNv8h1HRIrJ4f4n2/cn3xPx7tdNv5Kdl03rqq19RxEpcQ0qNODBLg8ydO5QPsz40HccESkGhyttrcxsxyEeO4EWJRFQ5M+avW42ibGJNElr4juKiBf3d7mfzjU7c+PIG1m7c63vOCJylP6wtDnnYp1zqYd4lHHO6fCohKx8l8+c9XNoXrk58bH6UZXoFBcTx9tnvM3evL1c+9W1ug2ISJjTiT4SkbK2ZrEjZ4euGpWo16hiI57o8QQjFo1g6NyhvuOIyFFQaZOINGvdLOJi4jQPowhwy7G3cGLtE7ll1C06TCoSxlTaJOI455i9bjaNKzamVHwp33FEvIuxGN48/U2y87K5bYxusSkSrlTaJOKs2rmKTXs26apRkUIaVmzI/Sfez8e/fMzozNG+44jIn6DSJhFn9trZGEarqq18RxEJKXcdfxeN0xpzw9c3sCd3j+84InKEVNok4sxeN5sGFRqQmpjqO4pISEmMS+S1U15j6balDJo0yHccETlCKm0SUTbu3siqnat01ajI7+hatytXtL6Cp396moz1Gb7jiMgRUGmTiDJ3/VwAWlXRoVGR3/PPXv+kXFI5rv3qWvJdvu84IlJEKm0SUTI2ZFAtpRqVkiv5jiISsiqWrsjTvZ7mp1U/8fqM133HEZEiUmmTiJGdl82izYtoUVkzrIkczqWtLqVb3W7cPf5u1u9a7zuOiBSBSptEjPkb57Pf7adFFZU2kcMxM1495VV25+7mvm/u8x1HRIpApU0ixrwN8ygdX5oG5Rv4jiISFhqnNeYvx/6Ft2a/xdTVU33HEZHDUGmTiJDv8snYkEHTSk2JjYn1HUckbDzQ9QGqplTlllG36KIEkRAX1NJmZn3NbKGZZZrZPYd4P9HMPg68P8XM6gaWVzSziWa2y8xeOugz3wa2OTvwqBzMMUh4WLF9BTtyduh8NpEjlJqYyj96/oMpq6cwdI4mlBcJZUErbWYWC7wM9AOaAheYWdODVrsK2OqcSweeA/4RWJ4NPADc+Tubv8g51zrw2FD86SXcZKzPwDBNEC/yJ1zc8mI61ezE3ePvZkfODt9xROR3BHNPW0cg0zmX5ZzbB3wE9D9onf7AO4Hnw4AeZmbOud3OuR8oKG8ih5WxIYP65euTkpDiO4pI2ImxGF7s9yIbdm/QTAkiISyYpa0GsLLQ61WBZYdcxzmXB2wHKhZh20MCh0YfMDM71ApmNtDMppvZ9I0bNx55egkb27O3s3z7cu1lEzkK7au356o2V/H8lOf5ddOvvuOIyCGE44UIFznnWgAnBh6XHGol59xg51x751z7SpV0o9VINm/DPABaVmnpOYlIeHu8x+Mkxydz6+hbcc75jiMiBwlmaVsN1Cr0umZg2SHXMbM4oCyw+Y826pxbHfi6E/iAgsOwEsXmbphL+aTy1Chz8I5cETkSlZMr80i3Rxi7ZCwjFo3wHUdEDhLM0jYNaGhm9cwsARgADD9oneHAZYHn5wAT3B/8emdmcWaWFngeD5wKzCv25BI2cvfnsmDjAlpUacHvHCkXkSNwQ4cbaFqpKbePuZ2cvBzfcUSkkKCVtsA5ajcBY4AFwCfOuV/M7FEzOz2w2ptARTPLBG4HfrstiJktA54FLjezVYErTxOBMWY2F5hNwZ46TZwXxRZvWUzO/hzd6kOkmMTHxvN8n+dZsnUJL0x5wXccESkkLpgbd86NBEYetOzBQs+zgXN/57N1f2ez7Yorn4S/jA0ZxMfE0zitse8oIhGjV4NenH7M6Qz6bhCXtrqUqilVfUcSEcLzQgQRAJxzZKzP4Ji0Y0iITfAdRySiPNP7Gfbt38e939zrO4qIBKi0Sdhav3s9G/dspGVlXTUqUtzSK6RzW6fbeHv220xbPc13HBFBpU3C2IFbfej+bCLBcf+J9xfMSzr6Ft0CRCQEqLRJ2Ppl4y9UTalKxdJFuR+ziBypMolleKLHE/y86mfez3jfdxyRqKfSJmEpd38uizcvpmmlg6ezFZHidGmrS+lQvQN3j7+bXft2+Y4jEtVU2iQsLd6ymNz8XJqmqbSJBFOMxfBC3xdYs3MNT/7wpO84IlFNpU3C0vyN84mLiaNRxUa+o4hEvM61OnNxy4t5evLTZG3N8h1HJGqptElYmr9xPg3KNyAxLtF3FJGo8GSPJ4mNieWv4/7qO4pI1FJpk7CzLXsbq3euplmlZr6jiESNGqk1uO+E+/hswWdMWDrBdxyRqKTSJmFnwcYFADStrPPZRErSHcfdQd1ydbl19K3k5ef5jiMSdVTaJOz8svEXUhNTqVGmhu8oIlElKS6JZ3o/w7wN8xg8Y7DvOCJRR6VNwkq+y2fBpgU0TWtKjOnHV6Skndn4TLrX7c4DEx9gy94tvuOIRBX9rydhZdbaWezat0v3ZxPxxMx4vu/zbMvexkMTH/IdRySqqLRJWBmzZAwATSo18ZxEJHq1rNKS69pdx6vTX/1tOjkRCT6VNgkrY5eMpVZqLVITU31HEYlqj3Z/lNTEVG4aeZPmJRUpISptEjZ25uzkx5U/6tCoSAioWLoiT/Z8kknLJzF07lDfcUSigkqbhI2JyyaSl5+n+7OJhIir215Np5qduHPsnWzdu9V3HJGIp9ImYWPskrEkxydTv3x931FEhIJ5SV895VU2793Mfd/c5zuOSMRTaZOwMWbJGLrV7UZ8bLzvKCIS0Lpqa27peAv/nvFvpq6e6juOSERTaZOwkLU1i8wtmfRp0Md3FBE5yCPdH6FamWpc99V17M/f7zuOSMRSaZOwMHbJWAB6N+jtOYmIHCw1MZXn+jzHrHWzeGXaK77jiEQslTYJC2OWjKFO2To0qtjIdxQROYRzm55L7wa9+dvEv7F251rfcUQikkqbhLzc/blMWDqBPg36YGa+44jIIZgZL5/8Mjl5Odwy+hbfcUQikkqbhLwpq6ewI2eHDo2KhLj0Cuk81PUhhs0fxrD5w3zHEYk4Km0S8sZkjiHWYulRv4fvKCJyGH89/q+0q9aOG76+gU17NvmOIxJRVNok5I3NGsuxNY+lXFI531FE5DDiYuJ4+4y32Za9jZtH3ew7jkhEUWmTkLZ5z2amrZ5G7/o6NCoSLppXbs4DXR7go3kf8cWvX/iOIxIxVNokpI3PGo/D0Sdd92cTCSf3nHAPrau25rqvrmPL3i2+44hEBJU2CWljl4ylXFI52ldv7zuKiByB+Nh4hvQfwua9m/nL6L/4jiMSEVTaJGQ55xizZAw96/ckLibOdxwROUKtq7bmvhPuY+jcoXy16CvfcUTCnkqbhKz5G+ezeudqTV0lEsbu73I/Lau05OrhV7Nh9wbfcUTCmkqbhCxNXSUS/hJiE3jvzPfYlr2Nq4ZfhXPOdySRsKXSJiFrzJIxNE5rTO2ytX1HEZGj0KJKC57q9RRfLfqKV6e/6juOSNhSaZOQlJ2XzaTlk3RoVCRC3NzxZvqm9+WOsXcwb8M833FEwpJKm4Sk75d/T3Zetg6NikQIM+Pt/m9TNrEs5356Lrv27fIdSSTsqLRJSBqzZAwJsQl0rdPVdxQRKSZVUqrw4dkfsmjzIq776jqd3yZyhHQfBQlJY5eM5YTaJ5CckOw7iogUo+71uvNw14d58NsH6VqnK9e0u8Z3pMMaPGOw7wh/aGC7gb4jSAnRnjYJOWt2riFjQ4bOZxOJUPd3uZ/eDXpz06ibmLJqiu84ImFDpU1CzoFbfai0iUSmGIvhg7M+oEaZGpz1yVms27XOdySRsKDSJiFn7JKxVEmuQosqLXxHEZEgqVi6Il8M+IJt2ds4+5Oz2bd/n+9IIiFPpU1CSr7LZ1zWOHo36E2M6cdTJJK1rNKSIf2HMHnlZAaOGKgLE0QOQxciSEiZtXYWm/Zs0qFRkShxXrPzWLBxAQ9Pepj0Cun8rcvffEcSCVkqbRJSxiwZA0CvBr08JxGRkvJg1wfJ3JrJAxMfoH75+lzY4kLfkURCkkqbhJQxS8bQpmobKidX9h1FREqImfHGaW+wcvtKLv/ictJKp+nG2iKHoJOGJGTszNnJ5JWT9Y+1SBRKjEvkiwFf0LRSU878+Ex+XvWz70giIUelTULGxGUTycvP0/lsIlGqXFI5Rl88mmop1Tj5/ZPJWJ/hO5JISFFpk5AxJnMMyfHJHFfrON9RRMSTqilVGXfJOErHl+akd09ScRMpRKVNQsbYrLF0q9uNxLhE31FExKN65evx7eXfkhibqOImUohKm4SErK1ZZG7J1KFREQEgvUL6b8Wt+zvdmbZ6mu9IIt6ptElIODB1lS5CEJED0iukM+nySaQmpnLSuycxPmu870giXgW1tJlZXzNbaGaZZnbPId5PNLOPA+9PMbO6geUVzWyime0ys5cO+kw7M8sIfOZfZmbBHIOUjDFLxlCnbB0aVWzkO4qIhJAGFRrww5U/ULdcXU754BQ+nvex70gi3gSttJlZLPAy0A9oClxgZk0PWu0qYKtzLh14DvhHYHk28ABw5yE2/SpwDdAw8Ohb/OmlJOXuz+WbrG/o06AP6uAicrDqZarz3eXf0bFGRwb8ZwCDJg3SlFcSlYK5p60jkOmcy3LO7QM+AvoftE5/4J3A82FADzMz59xu59wPFJS335hZNSDVOfezK/gb+y5wRhDHICVgyuop7Ny3U4dGReR3lS9VnvGXjOeSlpfw4LcPcsnnl7And4/vWCIlKpilrQawstDrVYFlh1zHOZcHbAcqHmabqw6zTQkzYzLHEGux9Kjfw3cUEQlhiXGJvHPGOzx+0uN8kPEBx715HJlbMn3HEikxETuNlZkNBAYC1K5d23Ma+SNjlozh2JrHUi6pnO8oIlLCBs8YfMSfSSudxk0db+KtWW/R8tWWXNrqUtpWaxuEdCKhJZh72lYDtQq9rhlYdsh1zCwOKAtsPsw2ax5mmwA45wY759o759pXqlTpCKNLSdm8ZzPT10ynd30dGhWRomteuTn3nXgfVZKr8O8Z/+bdOe+SnZd9+A+KhLFglrZpQEMzq2dmCcAAYPhB6wwHLgs8PweY4P7g7FLn3Fpgh5l1Clw1einwZfFHl5IyPms8DkefdN2fTUSOTFrpNP56/F/pm96XySsn89h3j7Fo8yLfsUSCJmilLXCO2k3AGGAB8Ilz7hcze9TMTg+s9iZQ0cwygduB324LYmbLgGeBy81sVaErT28A3gAygSXAqGCNQYJvzJIxlEsqR/vq7X1HEZEwFBcTx5mNz+T2zrfjcDzz0zO8N/c99ubu9R1NpNgF9Zw259xIYORByx4s9DwbOPd3Plv3d5ZPB5oXX0rxxTnHmCVj6FW/F3ExEXt6pYiUgEYVG/FQ14cYvnA447PGM3vdbPof05/jax9PjOk+8hIZ9JMs3mRsyGDNzjX0Tdet9kTk6CXEJnBO03O494R7qZJShfcy3uPx7x5nwaYFvqOJFAuVNvFmdOZoAJU2ESlWdcrV4c7OdzKw7UD25u3l+Z+f5+VpL7Nu1zrf0USOio5JiTejMkfRskpLqpep7juKiEQYM6Nd9Xa0rNKSb5Z+w6jMUTz87cN0qN6Bfg376d8dCUsqbeLFzpyd/LDiB+7ofIfvKCISweJj4+mb3pfjah3HuCXjmLR8EtPWTKNttbac3PBkaqbWPPxGREKESpt4MWHpBPLy83RoVCSI/syNayNVamIqZzc9mz7pfRifNZ6JyyYyY+0MWlVpRZ/0PjQo38B3RJHDUmkTL0ZljiIlIYXjah3nO4qIRJGUhBTOaHwGver3YsLSCUxYNoE5P86hQfkG9GnQhxZVWuhqUwlZKm1S4pxzjM4cTc/6PUmITfAdR0SiUHJCMqcdcxq9GvRi8srJjM8azyvTX6FqSlV61+9NxxodiY+N9x1T5L/o1wkpcQs3L2T59uX0baBDoyLiV1JcEifVO4lB3QdxVZuriI+J592573L/hPsZkzlGN+mVkKI9bVLiRi0umMRC57OJSKiIjYmlY42OdKjegQWbFjB2yVg++/UzRmaO5MTaJ9KjXg/KlyrvO6ZEOZU2KXGjl4ymSVoT6pSr4zuKiMh/MTOaVmpK00pNWbF9BWOXjGV81ngmLJ1Axxod6d2gt24XIt6otEmJ2pO7h0nLJnFDhxt8RxER+UO1y9bm6rZXc0bjMxifNZ4fVvzAT6t+ok3VNpzZ+EyqpFTxHVGijEqblKhvl31Lzv4cHRoVkbCRVjqNAc0HcGqjU5mwdALjs8YzZ/0cutTuwimNTiE1MdV3RIkSKm1SokZnjqZUXCm61OniO4qIyBFJSUjh9GNOp1vdbny16Cu+W/EdP636iT7pfehZryeJcYm+I0qE09WjUqJGZ46me73uJMUl+Y4iIvKnpCamcmGLC3mo60M0qdSE4QuH8/Ckh8lYn+E7mkQ4lTYpMUu2LGHxlsX0S+/nO4qIyFGrmlKV69tfz52d7yQxNpGXpr3E4BmD2ZGzw3c0iVAqbVJiRmeOBnSrDxGJLA0rNuRvXf5G/2P6M2f9HB6d9Chz1s/xHUsikEqblJhRmaNoUL4B6RXSfUcRESlWcTFxnNzwZO474T7KJpXllWmv8P7c98ndn+s7mkQQlTYpEXty9/DN0m84ueHJvqOIiARNjdQa3HP8PfRu0JvvVnzHU5OfYtOeTb5jSYRQaZMS8U3WN2TnZXNao9N8RxERCar42HjObnI2N3S4gY27N/L4948zf+N837EkAqi0SYkYsWgEZRLK0LVuV99RRERKRKsqrbj/xPspn1SeF6e+yHfLv/MdScKcSpsEXb7L56tFX9EnvQ8JsQm+44iIlJhKyZW46/i7aJrWlPcz3mfY/GHku3zfsSRMqbRJ0M1cO5O1u9bq0KiIRKWkuCRu6HAD3ep2Y1zWON6d8y778/f7jiVhSDMiSNCNWDiCGIvRRQgiErViY2IZ0GwAZRLKMGLRCHLycriyzZXEx8b7jiZhRKVNgm7EohF0rtmZtNJpvqOIiHhjZpza6FRKxZXik/mfkDsjl+vaX0dcjP4rlqLR4VEJqtU7VjNr3SwdGhURCehRvwcXNr+QjA0ZvDHzDR0qlSJTaZOg+mrRVwCcdoxKm4jIAV3rduW8pucxa90shsweoosTpEi0T1aCasSiEdQvX58maU18RxERCSk96vcgLz+Pz379jOSEZAY0G4CZ+Y4lIUylTYLmwCwIA9sO1D9EIiKH0Ce9Dzv37WRc1jjKJ5XX3Mzyh1TaJGjGZ40vmAVBh0ZFRH7XWU3OYnv2dj7/9XPKJZWjU81OviNJiFJpk6AZsXAEqYmpdKnTxXcUEZGQFWMxXNb6MrbnbGfo3KGklU4jvUK671gSgnQhggRFvsvnq8Vf0aeBZkEQETmcuJg4rm13LRWSKvDa9Nc0ybwckkqbBMWMNTNYt2udbvUhIlJEyQnJ3NjxRvLy83hl2itk52X7jiQhRqVNgmLEIs2CICJypKqmVGVgu4Gs2bmGoXOH4pzzHUlCiEqbBMWIRSM4rtZxVCxd0XcUEZGw0rRSU85ofAbT10xnwtIJvuNICFFpk2K3dOtSZq+bTf9j+vuOIiISlvo06EOrKq0YtmAYmVsyfceREKHSJsXu818/BwouYxcRkSNnZlzR+grSSqXxxsw32L1vt+9IEgJU2qTYfbbgM1pXbU398vV9RxERCVul4ktxddur2ZGzQ+e3CaDSJsVs7c61TF45mbMaay+biMjRqlOuDmc0PoNZ62bxw4offMcRz1TapFh9ufBLHE6HRkVEiknP+j1pktaEj3/5mHW71vmOIx6ptEmx+mzBZzSs0JCmlZr6jiIiEhFiLIYrWl9BYlwib8x8g9z9ub4jiScqbVJstuzdwsRlEzmryVmaIF5EpBiVTSrLpa0uZeWOlb9d7CXRR6VNis2IhSPIy8/jzMZn+o4iIhJxWlVpRbe63fhm6TfM2zDPdxzxQKVNis0n8z+hdtnadKzR0XcUEZGIdHaTs6lepjrvzHlHtwGJQiptUiy27t3K2CVjOa/peTo0KiISJAmxCVzR+gp27dvFx7987DuOlDCVNikWn//6OXn5eZzf/HzfUUREIlrtsrXpl96PKaunMGfdHN9xpASptEmx+OSXT6hfvj7tqrXzHUVEJOKd3PBkapapyXsZ77Fl7xbfcaSEqLTJUdu0ZxPjs8br0KiISAmJi4njstaXsWvfLm4dfavvOFJCVNrkqH224DP2u/2c1+w831FERKLGgcOk7819j+ELh/uOIyVApU2O2ie/fELDCg1pXbW17ygiIlHl5IYn07JKS6796lodJo0CKm1yVNbuXMvEZRM5r5kOjYqIlLS4mDje7v82m/Zs0mHSKKDSJkflo3kfke/yuajFRb6jiIhEpTbV2nDvCffy3tz3GLV4lO84EkRBLW1m1tfMFppZppndc4j3E83s48D7U8ysbqH37g0sX2hmfQotX2ZmGWY228ymBzO/HN57Ge/Rrlo7mlRq4juKiEjUuv/E+2mS1oRrv7qWnTk7fceRIAlaaTOzWOBloB/QFLjAzA6eRfwqYKtzLh14DvhH4LNNgQFAM6Av8Epgewd0d861ds61D1Z+ObwFGxcwc+1MLm55se8oIiJRLTEukTdPf5NVO1Zx3zf3+Y4jQRLMPW0dgUznXJZzbh/wEdD/oHX6A+8Eng8DeljBiVH9gY+ccznOuaVAZmB7EkLez3ifGIthQPMBvqOIiES9zrU6c1PHm3h52stMXjnZdxwJgmCWthrAykKvVwWWHXId51wesB2oeJjPOmCsmc0ws4FByC1FkO/yeT/jfXrV70XVlKq+44iICPD3Hn+nVtlaXD38anLycnzHkWIWjhcinOCca0vBYdcbzazLoVYys4FmNt3Mpm/cuLFkE0aBySsns2zbMh0aFREJISkJKbx2ymss2LSAv3//d99xpJgFs7StBmoVel0zsOyQ65hZHFAW2PxHn3XOHfi6Afic3zls6pwb7Jxr75xrX6lSpaMejPy3d+e8S+n40pzR+AzfUUREpJB+DftxUYuLeOKHJ5i3YZ7vOFKMglnapgENzayemSVQcGHBwbdsHg5cFnh+DjDBOecCywcEri6tBzQEpppZspmVATCzZKA3oJ/IErZ7324+mvcR5zU7j5SEFN9xRETkIM/3fZ6ySWW5evjV7M/f7zuOFJOglbbAOWo3AWOABcAnzrlfzOxRMzs9sNqbQEUzywRuB+4JfPYX4BNgPjAauNE5tx+oAvxgZnOAqcDXzrnRwRqDHNqw+cPYuW8nV7a+0ncUERE5hLTSabzQ9wWmrJ7Ci1Nf9B1HiokV7NiKbO3bt3fTp+uWbsWly5AurNu1joU3LfQyC8LgGYNL/HuKiISqge0OfU2ec45TPzyVb5d9y7zr51GvfL0STiZ/lpnNONRtzcLxQgTxaNHmRXy/4nuubHOlpq0SEQlhZsarp7xKjMVw7VfXEg07aSKdSpsckSGzhhBrsVzW6rLDrywiIl7VLlubJ3s8ybiscbw7513fceQoqbRJkeXl5/HOnHfo17Af1cpU8x1HRESK4PoO13N8reO5bcxtrN+13nccOQoqbVJkIxaOYO2utVzd5mrfUUREpIhiLIY3Tn+D3bm7uWX0Lb7jyFFQaZMie2X6K9RKrcUpjU7xHUVERI5A47TGPNDlAT755ROGLzz47lsSLlTapEgWblrI+KzxXNf+OuJi4nzHERGRI3TX8XfRonILrv/6erZnb/cdR/4ElTYpklenv0p8TDxXtbnKdxQREfkTEmITeOP0N1i3ax33jL/Hdxz5E1Ta5LB279vN27Pf5pym51AlpYrvOCIi8id1rNGRW4+9lddmvMZ3y7/zHUeOkEqbHNaH8z5ke852buhwg+8oIiJylAZ1H0S9cvW4ZsQ1ZOdl+44jR0ClTf6Qc44XprxAyyotOb7W8b7jiIjIUUpOSGbwaYNZtHkRj0561HccOQIqbfKHxi4Zy7wN87ij8x2aAUFEJEL0rN+Ty1tfzlM/PsXsdbN9x5EiUmmTP/T0T09TvUx1BjQf4DuKiIgUo2d6P0Na6TSuGn4Vefl5vuNIEai0ye+as24O47PGc0vHW0iITfAdR0REilGFUhV4sd+LzFw7k+d+es53HCkClTb5Xc/89AzJ8ckMbDfQdxQREQmCc5qeQ/9j+vPgtw+yaPMi33HkMFTa5JBW7VjFh/M+5Ko2V1G+VHnfcUREJAjMjFdOeYXS8aW5+LOLyd2f6zuS/AGVNjmkf/zwDwBu73y75yQiIhJM1ctU59+n/ptpa6bx2HeP+Y4jf0ClTf7Hmp1reH3m61ze6nLqlKvjO46IiATZOU3P4dJWl/L494/z86qffceR36HSJv/jqR+fIi8/j3tPvNd3FBERKSH/6vsvaqbW5OLPLmbXvl2+48ghqLTJf1m7cy3/nvFvLm11KfXL1/cdR0RESkjZpLIMPXMoWVuzuH2MTo0JRSpt8l/+Ofmf5O7P5b4T7/MdRUREStiJdU7kruPv4vWZrzN84XDfceQgKm3ym+XblvPKtFe4pNUlpFdI9x1HREQ8eLT7o7Su2pqrh1/N+l3rfceRQlTa5DcPTHwAM+PRbpqLTkQkWiXEJvDeme+xc99OLv78Yvbn7/cdSQJU2gQomP3gvbnvcUvHW6hVtpbvOCIi4lGzys14qd9LjM8az9+//7vvOBKg0iYA3D3+bsqXKq8rRkVEBIAr21zJRS0u4uFJD/Ptsm99xxFU2gQYnTmaMUvGcP+J91MuqZzvOCIiEgLMjNdOfY2GFRoyYNgA1uxc4ztS1FNpi3LZedncPOpmGlVsxI0dbvQdR0REQkhKQgr/Oe8/7Nq3i3M+OYd9+/f5jhTVVNqi3D9//CeZWzJ5qd9LJMYl+o4jIiIhplnlZgzpP4SfVv3EX0b/xXecqKbSFsWytmbx9x/+znnNzqNXg16+44iISIg6t9m53HXcXbw6/VVen/G67zhRS6UtSjnnuGnkTcTFxPFs72d9xxERkRD3eI/H6ZvelxtG3sA3Wd/4jhOVVNqi1Nuz32ZU5ige6/4YNVJr+I4jIiIhLi4mjo/O/ohjKh7DOZ+ew6+bfvUdKeqotEWh5duWc+voW+lapys3H3uz7zgiIhImyiaVZcQFI4iPieeUD07RjAklTKUtyuS7fK4afhX5Lp8h/YcQY/oREBGRoqtXvh7DLxjO2p1r6fd+P3bk7PAdKWrof+wo88LPL/DN0m94pvcz1Ctfz3ccEREJQ51qdmLYecOYu34uZ358Jjl5Ob4jRQWVtigyeeVk7hp/F2c0PoOB7Qb6jiMiImHs5IYn81b/t5iwdALnDzuf3P25viNFPJW2KLFx90bO+/Q86pStw5D+QzAz35FERCTMXdrqUv7V9198ufBLLvjPBSpuQabSFgVy9+dywX8uYNOeTQw7b5imqhIRkWJz87E382zvZ/nPgv9w8ecXq7gFUZzvABJczjmu//p6vln6DUP6D6F11da+I4mISIS5rfNt5Lt87hx3J7v37ebTcz+lVHwp37Eijva0RbgnfniCN2e9yd9O/BuXt77cdxwREYlQdxx3B6+d8hojF4+k7/t92Z693XekiKPSFsHenv0290+4n4tbXsyj3R/1HUdERCLcte2v5cOzP2TyysmcMOQElm9b7jtSRFFpi1DvzH6HK7+8kl71e/HGaW/owgMRESkR5zc/n1EXjWLl9pV0fKMjP6/62XekiKHSFoGGzhnKFV9eQY/6PfhywJckxiX6jiQiIlGkZ/2e/HTVT6QkpNDt7W68PuN1nHO+Y4U9lbYI4pzjmcnPcNkXl/1W2HQiqIiI+NCkUhN+vupnutTpwsCvBnL5l5eze99u37HCmkpbhMjLz+PmUTdz57g7OafpOQwfMJzS8aV9xxIRkShWKbkSoy4axUNdH2LonKG0G9yOqaun+o4VtlTaIsD6Xevp934/Xp72Mn897q98dM5H2sMmIiIhITYmloe7Pcy4S8axJ3cPx715HA9MeEBTX/0JKm1hbuLSibT+d2t+WPEDb57+Jk/1ekqTwIuISMjpUb8HGddncEmrS3js+8do8WoLxi4Z6ztWWNH/7mFqZ85Obhl1Cz3e7UHZxLJMvXoqV7a50ncsERGR31U2qSxD+g9hzMVjcDj6vNeHsz4+i4WbFvqOFhZU2sKMc47PF3xOs1ea8dLUl7ixw41MHzidFlVa+I4mIiJSJL0b9Cbj+gwGdR/EuKxxNHulGQNHDGTZtmW+o4U0lbYw8uOKHzlhyAmc9clZpCam8uOVP/LiyS+SkpDiO5qIiMgRSYpL4m9d/saSW5ZwY4cbeXv226T/K52LP7uYOevm+I4XklTaQly+y+erRV/R7e1unDDkBJZuXcrgUwcz+7rZdK7V2Xc8ERGRo1I5uTIv9HuBrFuzuPXYW/ni1y9o/e/WHP/W8QydM5Q9uXt8RwwZKm0havWO1Tzx/RM0fqkxp314Gllbs3im9zMsvnkx17S7hriYON8RRUREik3N1Jo80+cZVty2gmd6P8PG3Ru59ItLqfJ0FS75/BK+WvRV1N/nTf/zhwjnHEu2LmH4wuF88esX/LDiBxyOrnW68nC3hzm36bnEx8b7jikiIhJUFUpV4PbOt3Nbp9uYtHwSH2R8wKfzP+W9ue+REJvAibVPpE+DPvRJ70OLyi2iappGC+a0EmbWF3gBiAXecM49edD7icC7QDtgM3C+c25Z4L17gauA/cAtzrkxRdnmobRv395Nnz69uIZVLPbm7mXu+rnMWjeLqaun8s3Sb1ixfQUALau05MzGZ3JJy0toUKGB56ShZ/CMwb4jiIiEjIHtBvqOEHQ5eTl8v+J7RmeOZsySMczbMA8oOLTavnp72lVrV/Co3o4aZWqEfZEzsxnOufYHLw/anjYziwVeBnoBq4BpZjbcOTe/0GpXAVudc+lmNgD4B3C+mTUFBgDNgOrAeDNrFPjM4bYZMvbn72ftrrUs27bst8fCzQuZtXYWv276lf1uP1DwW0W3ut24+/i76dOgj4qaiIhIIYlxifSs35Oe9XvyNE+zascqxi4Zy6Tlk5ixZgajM0eT7/IBSCudRsMKDWlQoQENygceFRpQLaUaVVOqhvXN54N5eLQjkOmcywIws4+A/kDhgtUfeDjwfBjwkhXU4/7AR865HGCpmWUGtkcRtlnihs4ZyrQ109i0ZxOb9mxi456NbNqzifW71pObn/tf61YvU502VdtwZuMzaVOtDW2rtaVO2Tph/1uBiIhISamZWpMr21z52/1Jd+/bzdz1c5mxdgZz1s1hydYlTFo2iffnvo/jv48opiamUiW5ClVSqlAuqRxlE8uSmpj6P4+UhBSS4pJIiksiMTbxt+eNKjbydrpSMEtbDWBlodergGN/bx3nXJ6ZbQcqBpb/fNBnawSeH26bJW74ouGMWzKOSsmVSCudRs3UmrSu2pqqyVWpW67ub4/aZWuHdcMXEREJRckJyXSu1fl/7qqQnZfNsm3LyNqaxbpd61i/a33B193rWb97Pat3rGZBzgJ25OxgR84OcvYffmqtdXeso0pKlWAN5Q9F7IUIZjYQOHCgf5eZHbjdchqwKRjfczvbySQzGJsuLkEbe4iL1nGDxh6NY4/WcUOUjv1aro3KcQeU+NirPly1JL5NnUMtDGZpWw3UKvS6ZmDZodZZZWZxQFkKLkj4o88ebpsAOOcGA/9zxrqZTT/UyX3RIFrHHq3jBo09GscereOG6B17tI4bom/swbxP2zSgoZnVM7MECi4sGH7QOsOBywLPzwEmuILLWYcDA8ws0czqAQ2BqUXcpoiIiEjECdqetsA5ajcBYyi4PcdbzrlfzOxRYLpzbjjwJjA0cKHBFgpKGIH1PqHgAoM84EbnCi61PNQ2gzUGERERkVAR1HPanHMjgZEHLXuw0PNs4Nzf+ezjwONF2eYRiuabfEXr2KN13KCxR6NoHTdE79ijddwQZWMP6s11RURERKR4aO5RERERkTAQVaXNzPqa2UIzyzSze3znCSYze8vMNpjZvELLKpjZODNbHPha3mfGYDCzWmY20czmm9kvZnZrYHk0jD3JzKaa2ZzA2B8JLK9nZlMCP/cfBy7iiThmFmtms8zsq8DraBn3MjPLMLPZZjY9sCwaft7LmdkwM/vVzBaYWecoGfcxgT/rA48dZvaXKBn7bYF/2+aZ2YeBf/Oi4u/5AVFT2gpNq9UPaApcEJguK1K9DfQ9aNk9wDfOuYbAN4HXkSYPuMM51xToBNwY+HOOhrHnACc551oBrYG+ZtaJgunhnnPOpQNbKZg+LhLdCiwo9Dpaxg3Q3TnXutCtD6Lh5/0FYLRzrjHQioI/+4gft3NuYeDPujUF83bvAT4nwsduZjWAW4D2zrnmFFyMeGD6y2j5ex49pY1C02o55/YBB6bAikjOue8ouCK3sP7AO4Hn7wBnlGSmkuCcW+ucmxl4vpOCf8hrEB1jd865XYGX8YGHA06iYJo4iNCxm1lN4BTgjcBrIwrG/Qci+ufdzMoCXSi4AwHOuX3OuW1E+LgPoQewxDm3nOgYexxQKnBf19LAWqLs73k0lbZDTatV43fWjVRVnHNrA8/XAX7m4SghZlYXaANMIUrGHjhEOBvYAIwDlgDbnHN5gVUi9ef+eeAuID/wuiLRMW4oKOZjzWxGYCYYiPyf93rARmBI4JD4G2aWTOSP+2ADgA8DzyN67M651cDTwAoKytp2YAbR8/cciK7SJoUEbmIcsZcOm1kK8B/gL865HYXfi+SxO+f2Bw6b1KRg73Jjv4mCz8xOBTY452b4zuLJCc65thSc+nGjmXUp/GaE/rzHAW2BV51zbYDdHHQ4MELH/ZvAuVunA58e/F4kjj1wjl5/Cgp7dSCZ/z0FKOJFU2kryrRakW69mVUDCHzd4DlPUJhZPAWF7X3n3GeBxVEx9gMCh4omAp2BcoHDCRCZP/fHA6eb2TIKTns4iYLznSJ93MBveyBwzm2g4NymjkT+z/sqYJVzbkrg9TAKSlykj7uwfsBM59z6wOtIH3tPYKlzbqNzLhf4jIK/+1Hx9/yAaCptmgLrv6cNuwz40mOWoAicy/QmsMA592yht6Jh7JXMrFzgeSmgFwXn9E2kYJo4iMCxO+fudc7VdM7VpeDv9QTn3EVE+LgBzCzZzMoceA70BuYR4T/vzrl1wEozOyawqAcFM+hE9LgPcgH/f2gUIn/sK4BOZlY68O/8gT/ziP97XlhU3VzXzE6m4NyXA1Ng/c+MC5HCzD4EugFpwHrgIeAL4BOgNrAcOM85d/DFCmHNzE4Avgcy+P/zm+6j4Ly2SB97SwpOxI2l4BeyT5xzj5pZfQr2QFUAZgEXO+dy/CUNHjPrBtzpnDs1GsYdGOPngZdxwAfOucfNrCKR//PemoILTxKALOAKAj/3RPC44beCvgKo75zbHlgWDX/mjwDnU3CXgFnA1RScwxbRf88Li6rSJiIiIhKuounwqIiIiEjYUmkTERERCQMqbSIiIiJhQKVNREREJAyotImIiIiEAZU2EZFCzGypmTkzS/edRUSkMJU2EZEAM+sM1A28vMBjFBGR/6HSJiLy/y6gYB7LKai0iUiIUWkTEQHMLBY4j4LpgN4CmphZq4PW6WZmc80s28ymmVlHM9tkZg8ftF5/M5seWG+dmT0VmBNXRORPU2kTESnQHahCwZQ4w4BcCu1tM7MawEgKJuI+B/g38D5QqvBGzOw8CiazngqcDjwCDASeCPoIRCSixfkOICISIi4AtgGjnXP7zGwsMMDM7nUF8/39BdgDnOac2wtgZjuAjw9sIDCR9T+Bd51zNxRangO8bGZPOOc2l9SARCSyaE+biEQ9M0sAzgI+d87tCyz+CKgDdA687gCMO1DYAoYftKlGFEzY/YmZxR14ABOAJKB5sMYgIpFPpU1EBPoB5YCRZlbOzMoB3wI5/P8h0qrAxsIfcs5lA7sKLUoLfB1JweHVA4+lgeW1ij+6iEQLHR4VEfn/YvbpId4718z+AqwDKhV+w8ySgJRCi7YEvg4EZh1iW0sPsUxEpEhU2kQkqplZMnAa8CEw+KC32wDPAicB04ArzKxUoUOkpx+0/kJgNVDXOfd68FKLSDRSaRORaNcfKA284JybUvgNM/sRuJ+CPXEPADcCI8zsOQoOl95DwcUJ+QDOuXwzuwMYamapwChgH1AfOAM4xzm3pyQGJSKRR+e0iUi0uwBYfHBhA3DO5QKfUHCRwibgFKAyBbf0uBm4EogFdhT6zMcUFMHWFBxu/Qy4AZhJQYETEflTrOBKdhEROVJmdgLwPXCSc26i7zwiEtlU2kREisjM/kHBBQbrgGMoOGS6GWjjnMv3mU1EIp/OaRMRKbpECm6eWwXYCYwFbldhE5GSoD1tIiIiImFAFyKIiIiIhAGVNhEREZEwoNImIiIiEgZU2kRERETCgEqbiIiISBhQaRMREREJA/8HVYGliZeR6CMAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(18,7))\n",
        "sns.countplot(df[\"Age\"])\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 442
        },
        "id": "aA6vI7dCBMog",
        "outputId": "3e3ea716-5cd7-4820-9d37-4deea1958ad0"
      },
      "id": "aA6vI7dCBMog",
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x504 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(20,7))\n",
        "sns.countplot(data=df,\n",
        "              x = \"Age\",\n",
        "              hue = \"Gender\")\n",
        "plt.xlabel(\"Sex\",fontsize = 15)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "dVDgjBOd_gYW",
        "outputId": "4f30af94-3add-434e-c901-c034d1bb3c92"
      },
      "id": "dVDgjBOd_gYW",
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x504 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.head(2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 81
        },
        "id": "woCLkcjeANcg",
        "outputId": "b60a435e-676d-4f56-d6c1-a840190658d6"
      },
      "id": "woCLkcjeANcg",
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "  Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
              "0   Male   19                  15                      39"
            ],
            "text/html": [
              "\n",
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              "      <th>Gender</th>\n",
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              "      <th>Annual Income (k$)</th>\n",
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              "                                                     [key], {});\n",
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              "\n",
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          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# drop the CustomerID Column not required\n",
        "df.drop(columns = [\"CustomerID\"],axis=1,inplace = True)"
      ],
      "metadata": {
        "id": "bI_1Fx1vAQlL"
      },
      "id": "bI_1Fx1vAQlL",
      "execution_count": 23,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df.head(2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 112
        },
        "id": "IEH3kwwvCdZL",
        "outputId": "5a972919-f6ef-4abc-c42c-92f844f8b2b9"
      },
      "id": "IEH3kwwvCdZL",
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "  Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
              "0   Male   19                  15                      39\n",
              "1   Male   21                  15                      81"
            ],
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              "      <th>1</th>\n",
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              "  </style>\n",
              "\n",
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              "        const buttonEl =\n",
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              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-42a1daf6-78e0-4ec3-ace7-135ffe2edff6');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
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              "  "
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(30,7))\n",
        "plotnumber = 1\n",
        "\n",
        "for column in df.iloc[:,1:]:\n",
        "  if plotnumber <= 8:\n",
        "    ax = plt.subplot(1,4,plotnumber)\n",
        "    sns.distplot(df[column],color = \"green\")\n",
        "    plt.xlabel(column)\n",
        "  plotnumber+=1\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 446
        },
        "id": "YGjQn79cAJ4H",
        "outputId": "108e9691-be72-4295-eec3-e0b6fb6e7d23"
      },
      "id": "YGjQn79cAJ4H",
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2160x504 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "id": "a0a96781",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "a0a96781",
        "outputId": "758d2e99-3cae-45d9-8418-d3aec7fcc8ba"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "59.25"
            ]
          },
          "metadata": {},
          "execution_count": 38
        }
      ],
      "source": [
        "df['Annual Income (k$)'].loc[df['Gender']=='Female'].mean()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "id": "2b5852be",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2b5852be",
        "outputId": "6a9ea6cc-f879-4d95-d6b3-204e5214531a"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "62.22727272727273"
            ]
          },
          "metadata": {},
          "execution_count": 39
        }
      ],
      "source": [
        "df['Annual Income (k$)'].loc[df['Gender']=='Male'].mean()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "id": "58008dbe",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 143
        },
        "id": "58008dbe",
        "outputId": "e1b271bd-51e7-4c89-95de-72c1cfaea7ab"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "              Age  Annual Income (k$)  Spending Score (1-100)\n",
              "Gender                                                       \n",
              "Female  38.098214           59.250000               51.526786\n",
              "Male    39.806818           62.227273               48.511364"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-dfee1585-6547-4921-a19a-827ef524fcda\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Age</th>\n",
              "      <th>Annual Income (k$)</th>\n",
              "      <th>Spending Score (1-100)</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Gender</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Female</th>\n",
              "      <td>38.098214</td>\n",
              "      <td>59.250000</td>\n",
              "      <td>51.526786</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Male</th>\n",
              "      <td>39.806818</td>\n",
              "      <td>62.227273</td>\n",
              "      <td>48.511364</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-dfee1585-6547-4921-a19a-827ef524fcda')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-dfee1585-6547-4921-a19a-827ef524fcda button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-dfee1585-6547-4921-a19a-827ef524fcda');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 40
        }
      ],
      "source": [
        "df.groupby('Gender').mean()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "07af4eb4",
      "metadata": {
        "id": "07af4eb4"
      },
      "source": [
        "# K-Means Clustering with Scikit-Learn\n",
        "\n",
        "K-means clustering is a type of unsupervised learning, which is used when you have unlabeled data (i.e., data without defined categories or groups). The goal of this algorithm is to find groups in the data, with the number of groups represented by the variable K. The algorithm works iteratively to assign each data point to one of K groups based on the features that are provided. Data points are clustered based on feature similarity. The results of the K-means clustering algorithm are:\n",
        "\n",
        "The centroids of the K clusters, which can be used to label new data Labels for the training data (each data point is assigned to a single cluster)\n",
        "\n",
        "For this particular algorithm to work, the number of clusters has to be defined beforehand. The K in the K-means refers to the number of clusters.\n",
        "\n",
        "The K-means algorithm starts by randomly choosing a centroid value for each cluster. After that the algorithm iteratively performs three steps:\n",
        "\n",
        "(i) Find the Euclidean distance between each data instance and centroids of all the clusters;\n",
        "\n",
        "(ii) Assign the data instances to the cluster of the centroid with nearest distance;\n",
        "\n",
        "(iii) Calculate new centroid values based on the mean values of the coordinates of all the data instances from the corresponding cluster.\n",
        "\n",
        "# A Simple Example\n",
        "\n",
        "Let's try to see how the K-means algorithm works with the help of a handcrafted example, before implementing the algorithm in Scikit-Learn.\n",
        "\n",
        "We have a set of the following two dimensional data instances named D."
      ]
    },
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          "data": {
            "text/plain": [
              "Index(['Gender', 'Age', 'Annual Income (k$)', 'Spending Score (1-100)'], dtype='object')"
            ]
          },
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      ],
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            "text/plain": [
              "   Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
              "0    Male   19                  15                      39\n",
              "1    Male   21                  15                      81\n",
              "2  Female   20                  16                       6\n",
              "3  Female   23                  16                      77\n",
              "4  Female   31                  17                      40"
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      "source": [
        "df.head()"
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      "cell_type": "markdown",
      "source": [
        "**Here we are Majorly focused on Annual Income and Spending Score**"
      ],
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              "   Annual Income (k$)  Spending Score (1-100)\n",
              "0                  15                      39\n",
              "1                  15                      81\n",
              "2                  16                       6\n",
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              "array([[15, 39],\n",
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            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
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            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(12,8))\n",
        "plt.scatter(X[:,0],X[:,1])\n",
        "plt.xlabel(\"Annual Income (k$)\")\n",
        "plt.ylabel(\"Spending Score (1-100)\")\n",
        "plt.title(\"Annual Income (k$) Vs Spending Score (1-100)\",fontsize = 15)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### **Implementing KMeans Algorithm**"
      ],
      "metadata": {
        "id": "zjOwzdHCL4A4"
      },
      "id": "zjOwzdHCL4A4"
    },
    {
      "cell_type": "code",
      "execution_count": 59,
      "id": "e0e08f7a",
      "metadata": {
        "id": "e0e08f7a"
      },
      "outputs": [],
      "source": [
        "from sklearn.cluster import KMeans"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 60,
      "id": "1d48d430",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1d48d430",
        "outputId": "04791d37-d73b-4061-f51b-95a8dd70d7cb"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[37.28888889 50.28888889]\n",
            " [79.6        50.12727273]]\n"
          ]
        }
      ],
      "source": [
        "kmeans = KMeans(n_clusters=2)\n",
        "kmeans.fit(X)\n",
        "print(kmeans.cluster_centers_) #no of centroids"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 61,
      "id": "48c6c687",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "48c6c687",
        "outputId": "4d4e0674-2104-4166-bd4e-acc84e156fbc"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
            " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
            " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
            " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]\n"
          ]
        }
      ],
      "source": [
        "print(kmeans.labels_)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 63,
      "id": "57c7c64a",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "id": "57c7c64a",
        "outputId": "ffeb88f0-a724-4c2d-bccf-38fcb0403a77"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(12,8))\n",
        "plt.scatter(X[:,0],X[:,1], c = kmeans.labels_, cmap='rainbow')\n",
        "plt.scatter(kmeans.cluster_centers_[:,0],kmeans.cluster_centers_[:,1],color='black')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 64,
      "id": "5e304282",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "id": "5e304282",
        "outputId": "1e5de6e1-363f-425f-fbff-5588807be81b"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(12,8))\n",
        "kmeans = KMeans(n_clusters=10)\n",
        "kmeans.fit(X)\n",
        "# print(kmeans.cluster_centers_)\n",
        "# print(kmeans.labels_)\n",
        "\n",
        "plt.scatter(X[:,0],X[:,1], c = kmeans.labels_, cmap='rainbow')\n",
        "plt.scatter(kmeans.cluster_centers_[:,0],kmeans.cluster_centers_[:,1],color='black')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "cB0zDj1wMnzY"
      },
      "id": "cB0zDj1wMnzY",
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": 69,
      "id": "23fe2cdf",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 499
        },
        "id": "23fe2cdf",
        "outputId": "1d4bba62-9c89-4f07-9455-67f20d09d93f"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(12,8))\n",
        "\n",
        "wcss=[] # distortion # within cluster sum of squares\n",
        "\n",
        "for i in range(1,11):\n",
        "    kmeans = KMeans(n_clusters=i)\n",
        "    kmeans.fit(X)\n",
        "    wcss.append(kmeans.inertia_)\n",
        "plt.plot(range(1,11),wcss,linewidth=2, color=\"blue\", marker =\"8\")\n",
        "plt.title('elbow curve')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 66,
      "id": "9c2ba824",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 497
        },
        "id": "9c2ba824",
        "outputId": "602513ac-75b8-4dc8-9a5f-76bef1207ae6"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(12,8))\n",
        "kmeans = KMeans(n_clusters=5)\n",
        "kmeans.fit(X)\n",
        "# print(kmeans.cluster_centers_)\n",
        "# print(kmeans.labels_)\n",
        "\n",
        "plt.scatter(X[:,0],X[:,1], c = kmeans.labels_, cmap='rainbow')\n",
        "plt.scatter(kmeans.cluster_centers_[:,0],kmeans.cluster_centers_[:,1],color='black')\n",
        "plt.xlabel('Annual Income $K')\n",
        "plt.ylabel('Spending Score(1-100)')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "v06B6DZKE35L"
      },
      "id": "v06B6DZKE35L",
      "execution_count": null,
      "outputs": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.9.12"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}