charlesmana/exercise_issue5.ipynb

## exercise_issue5.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6d1ccaef-0e0a-4097-a7e8-86828f109449",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c3cea399-9387-45dc-9b34-3140e87e3795",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = {\n",
    "    \"month\": [1, 2, 3, 4, 5],\n",
    "    \"Lesson\": [\"math\", \"physic\", \"science\", \"alchemy\", \"nationality\"]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0bcda6cb-989c-48df-9bc3-df505dd080f5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'month': [1, 2, 3, 4, 5], 'Lesson': ['math', 'physic', 'science', 'alchemy', 'nationality']}\n"
     ]
    }
   ],
   "source": [
    "print(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "415e06af-cb91-4689-99ee-eb662925b668",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "30c1b73d-f963-4500-ae41-d8566cd24980",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month       Lesson\n",
      "0      1         math\n",
      "1      2       physic\n",
      "2      3      science\n",
      "3      4      alchemy\n",
      "4      5  nationality\n"
     ]
    }
   ],
   "source": [
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1cfc4de5-ac22-451c-8b76-d4d70c635c3e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5]\n"
     ]
    }
   ],
   "source": [
    "m = list(df['month'])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2de18b93-d4d1-49a3-8f24-15115a15abbc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['math', 'physic', 'science', 'alchemy', 'nationality']\n"
     ]
    }
   ],
   "source": [
    "m = list(df['Lesson'])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "466145b3-7bf3-4cbe-811e-83c3e533eb05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 'math']\n"
     ]
    }
   ],
   "source": [
    "# get 1st row\n",
    "m = list(df.loc[0])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "16d8127e-3a75-48b2-bdec-c2cd3221f145",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 'physic']\n"
     ]
    }
   ],
   "source": [
    "# get 2nd row\n",
    "m = list(df.loc[1])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "42a6d2b6-d102-47e2-b67f-0481fa3df3ff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5, 'nationality']\n"
     ]
    }
   ],
   "source": [
    "#get last row based on index\n",
    "m = list(df.loc[4])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3879be7a-2405-482f-b8e3-5b07a9dc7988",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "month        1\n",
      "Lesson    math\n",
      "Name: 0, dtype: object\n"
     ]
    }
   ],
   "source": [
    "m = df.loc[0]\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d7d83346-55f7-4034-8654-fe503594598b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month   Lesson\n",
      "1      2   physic\n",
      "2      3  science\n",
      "3      4  alchemy\n"
     ]
    }
   ],
   "source": [
    "#get range of index\n",
    "m = df.loc[1:3]\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "941b466f-8753-48b9-978a-1aea1d05f328",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month       Lesson\n",
      "0      1         math\n",
      "1      2       physic\n",
      "2      3      science\n",
      "3      4      alchemy\n",
      "4      5  nationality\n"
     ]
    }
   ],
   "source": [
    "m = df.loc[0:4]\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "46739626-c43d-4847-b16a-f5599a30d4e5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month       Lesson\n",
      "0      1         math\n",
      "1      2       physic\n",
      "2      3      science\n",
      "3      4      alchemy\n",
      "4      5  nationality\n"
     ]
    }
   ],
   "source": [
    "m = df.loc[0:25]\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e9c41059-945c-419e-acd3-f969be7da4e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month       Lesson\n",
      "a      1         math\n",
      "b      2       physic\n",
      "c      3      science\n",
      "d      4      alchemy\n",
      "e      5  nationality\n"
     ]
    }
   ],
   "source": [
    "#use letter as index\n",
    "idx = ['a', 'b', 'c', 'd', 'e']\n",
    "df = pd.DataFrame(data, index=idx)\n",
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "267d3a7a-e265-426f-896e-8a02d803e2a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "month        1\n",
      "Lesson    math\n",
      "Name: a, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(df.loc['a'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4350433a-acda-4ac1-92a5-843bb015849c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month   Lesson\n",
      "a      1     math\n",
      "b      2   physic\n",
      "c      3  science\n"
     ]
    }
   ],
   "source": [
    "print(df.loc['a':'c'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5920bb3c-1cbc-496f-909b-6e792baed59f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#row 'a', column 'month'\n",
    "df.loc['a']['month']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "4c12fd9d-d438-421f-8d66-adf09eb6a909",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'science'"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.loc['c']['Lesson']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "fca3a100-11dd-480f-b51b-62791784614c",
   "metadata": {},
   "outputs": [],
   "source": [
    "#export dataFrame to csv\n",
    "df.to_csv(\"issues5_noIdx_sepComma.csv\", sep=\",\", index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "0b4eead2-dd35-4370-a179-4f916671c773",
   "metadata": {},
   "outputs": [],
   "source": [
    "#with default option\n",
    "df.to_csv(\"issues5_default_option.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "e8a944e6-c13a-45e7-a5c8-45a6e1b9e42f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#with space separation\n",
    "df.to_csv(\"issues5_space_option.csv\", sep=\" \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "16f80935-08d4-4b27-a615-15521cd3ce30",
   "metadata": {},
   "outputs": [],
   "source": [
    "#with tab separation\n",
    "df.to_csv(\"issues5_tab_option.csv\", sep=\"\\t\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "9f865282-645d-4b86-a900-f64b3055e3e6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#with tab separation\n",
    "df.to_csv(\"issues5_semiColon_option.csv\", sep=\";\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "082043fe-170d-4a92-a612-69c400cc0234",
   "metadata": {},
   "outputs": [],
   "source": [
    "#export to excel\n",
    "df.to_excel(\"issues5_noIdx.xlsx\", index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "68fc605b-e99b-4886-805a-295ac4fc8962",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month       Lesson\n",
      "0      1         math\n",
      "1      2       physic\n",
      "2      3      science\n",
      "3      4      alchemy\n",
      "4      5  nationality\n"
     ]
    }
   ],
   "source": [
    "df2 = pd.read_excel(\"issues5_noIdx.xlsx\")\n",
    "print(df2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6c686e28-c7e1-4e7d-a91a-ee18128af1c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "Comma (,) Most widely used and compatible with most software, including Excel, Google Sheets, and various programming languages,\n",
    "but if our data have a commas inside, so it would be better if we use semicolon separation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "310f0429-2bc6-43d0-995d-ecd179083f2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#READ DATA FROM STORAGE\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b6bfcfe9-a64e-4171-9cba-8a608ab37da7",
   "metadata": {},
   "outputs": [],
   "source": [
    "ljc = pd.read_excel(\"lissajous_circle.xlsx\")\n",
    "ljb = pd.read_excel(\"lissajous_butterfly.xlsx\")\n",
    "dist = pd.read_excel(\"distribution.xlsx\")\n",
    "fruit = pd.read_excel(\"fruit_pie_chart.xlsx\")\n",
    "contour = pd.read_excel(\"contour.xlsx\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "9f03625c-058b-45d6-a3e4-d40aadfb9be8",
   "metadata": {},
   "outputs": [
    {
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       "    <tr>\n",
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       "      <td>1.937166</td>\n",
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       "     t         x         y\n",
       "0  0.0  2.000000  0.000000\n",
       "1  0.2  1.984229  0.250666\n",
       "2  0.4  1.937166  0.497380\n",
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    "ljc.head()"
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  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a371259a-b1a8-44d2-9a5b-1ac001b77eac",
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   "outputs": [
    {
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      "       t         x         y\n",
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      "1    0.2  1.984229  0.250666\n",
      "2    0.4  1.937166  0.497380\n",
      "3    0.6  1.859553  0.736249\n",
      "4    0.8  1.752613  0.963507\n",
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      "95  19.0  1.618034 -1.175571\n",
      "96  19.2  1.752613 -0.963507\n",
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      "98  19.6  1.937166 -0.497380\n",
      "99  19.8  1.984229 -0.250666\n",
      "\n",
      "[100 rows x 3 columns]\n"
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    }
   ],
   "source": [
    "print(ljc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "291618b6-a265-474e-ad9c-0cf34bdf3c34",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))  # Adjust figure size\n",
    "\n",
    "# Assuming columns are x and y\n",
    "plt.scatter(ljc[\"x\"], ljc[\"y\"], s=5, alpha=0.8, label=\"Circle\", marker='o')  # Adjust marker size and opacity\n",
    "\n",
    "plt.xlabel(\"X\")\n",
    "plt.ylabel(\"Y\")\n",
    "plt.title(\"The Circle\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "b2589089-1ad6-40d0-8b4e-f10bf7d2f80b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot t vs x\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.bar(ljc['t'], ljc['x'], label='x(t)')\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('x')\n",
    "plt.title('t & x')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "0544d2ef-dde8-4666-b4d7-499adc5a91e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(ljc['x'], ljc['y'], marker='o')\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y')\n",
    "plt.title('Scatter Plot')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "441abb5d-f1ad-4ca8-95f6-2140ecefe363",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       t         x         y\n",
      "0    0.0  2.000000  0.000000\n",
      "1    0.2  1.996053  0.250666\n",
      "2    0.4  1.984229  0.497380\n",
      "3    0.6  1.964575  0.736249\n",
      "4    0.8  1.937166  0.963507\n",
      "..   ...       ...       ...\n",
      "95  19.0  1.902113 -1.175571\n",
      "96  19.2  1.937166 -0.963507\n",
      "97  19.4  1.964575 -0.736249\n",
      "98  19.6  1.984229 -0.497380\n",
      "99  19.8  1.996053 -0.250666\n",
      "\n",
      "[100 rows x 3 columns]\n"
     ]
    }
   ],
   "source": [
    "print(ljb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4c028926-3f86-41f6-bca9-669e905a5e79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ljb.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "1a6839a4-6a3b-463d-94e2-5833fac3725b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(ljb['x'], ljb['y'], marker='o')\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y')\n",
    "plt.title('Scatter Plot')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "47c945e9-e249-41cb-a9c7-8c1024ae59d2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          x\n",
      "0        36\n",
      "1        31\n",
      "2        34\n",
      "3        29\n",
      "4         5\n",
      "...     ...\n",
      "249995  997\n",
      "249996  997\n",
      "249997  998\n",
      "249998  998\n",
      "249999  999\n",
      "\n",
      "[250000 rows x 1 columns]\n"
     ]
    }
   ],
   "source": [
    "print(dist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "9418a6c5-3209-468a-92ce-91309aead6c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(dist.index, dist['x'], marker='x', color='green')\n",
    "plt.xlabel('Index')\n",
    "plt.ylabel('x')\n",
    "plt.title('Scatter Plot of Distribution')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "ebbb80da-4961-4e20-b118-d9ab1f9db883",
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "01fb9152-dae2-4407-92f8-5ed99d7b0ed3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9pVrg166ZZv1rOX78eDMlJcXs2rWr+Ytf/MJctmxZ0P41TdMsLi42L730UrNz585mSkqK2atXL/PHP/6xuXz5ctM0TbOmpsa8/fbbzWHDhpmZmZlmenq6OWzYMPPpp59uVp8Aop9hmsf5t0cAAACAGMY9xAAAAEhoBGIAAAAkNAIxAAAAEhqBGAAAAAmNQAwAAICERiAGAABAQuMf5lD9v2dfWlqqzMzMdvtnWgEAANB8pmnq4MGD6tGjh/WPFYULgVhSaWmpevbsGekyAAAAcAzffvut8vPzwzongVhSZmampPoXOCsrK8LVAAAAIFBFRYV69uxp5bZwIhBL1m0SWVlZBGIAAIAo1ha3t/KX6gAAAJDQCMQAAABIaARiAAAAJDQCMQAAABIagRgAAAAJjUAMAACAhEYgBgAAQEIjEAMAACChEYgBAACQ0AjEAAAASGgEYgAAACQ0AjEAAAASGoEYAAAACY1ADAAAgIRGIAYAAEBCi2ggvu+++2QYhu2/gQMHWo9XV1dr5syZ6ty5szIyMnTZZZdp9+7dtjl27NihyZMnq2PHjnK5XLr99ttVV1fX3q0AAAAgRiVFuoBTTjlF77zzjvVzUlJjSbfeeqveeOMNvfzyy8rOztasWbN06aWX6sMPP5QkeTweTZ48Wd26ddOqVau0c+dOXXvtterQoYN+/etft3svAAAAiD0RD8RJSUnq1q1b0Ljb7dYLL7ygJUuWaOzYsZKkhQsXatCgQfroo480ZswYvf322/r888/1zjvvqGvXrho+fLgefPBB3XnnnbrvvvuUnJzc3u0AAAAgxkQ8EH/11Vfq0aOHUlNTVVhYqLlz5+rEE0/UunXrdOTIEY0fP97aduDAgTrxxBO1evVqjRkzRqtXr9aQIUPUtWtXa5uJEyfqhhtu0KZNmzRixIiQv7OmpkY1NTXWzxUVFZKkuro663YLh8Mhh8Mhr9crr9drbesb93g8Mk3zmONOp1OGYQTdxuF0OiXVr3I3ZzwpKUmmadrGDcOQ0+kMqrGpcXqiJ3qiJ3qiJ3qip1jtqS1viY1oID799NO1aNEinXzyydq5c6fuv/9+nXnmmdq4caN27dql5ORk5eTk2J7TtWtX7dq1S5K0a9cuWxj2Pe57rClz587V/fffHzReXFys9PR0SVKXLl3Ur18/lZSUaO/evdY2+fn5ys/P15YtW+R2u63xvn37yuVyaePGjaqqqrLGBw4cqJycHBUXF9t28NChQ5WcnKyioiJbDaNGjVJtba0+++wza8zpdOq0006T2+3Wl19+aY2npaVp2LBhKisr07Zt26zx7OxsDRo0SKWlpfruu++scXqiJ3pKnJ5KjlSoIKtrXPUkxd9+oid6oqfm91RcXKy2Ypj+kT3CysvL1atXL82bN09paWmaNm2abSVXkkaPHq1zzz1XDz/8sGbMmKHt27frrbfesh4/fPiw0tPTtXTpUk2aNCnk7wm1QtyzZ0/t27dPWVlZkiL/KSgeP9nREz3RU/v0tMD9ma943ZI7Ii56Olbt9ERP9BT/PR04cECdO3eW2+228lq4RPyWCX85OTkaMGCAvv76a5133nmqra1VeXm5bZV49+7d1j3H3bp108cff2ybw/ctFKHuS/ZJSUlRSkpK0HhSUpLtL/VJjTszkG/nNHc8cN7WjBuGEXK8qRpbOk5P9NTUOD3FVk+ms7Ge+eXrNTtneMz31Nwa6YmemqqxpeP0FBs9hUtUfQ9xZWWltm7dqu7du2vkyJHq0KGDli9fbj2+efNm7dixQ4WFhZKkwsJCbdiwQXv27LG2WbZsmbKyslRQUNDu9QMAACD2RDQQ33bbbXrvvff0zTffaNWqVbrkkkvkdDp11VVXKTs7W9OnT9ecOXO0cuVKrVu3TtOmTVNhYaHGjBkjSZowYYIKCgr0k5/8RJ9++qneeust3X333Zo5c2bIFWAAiGfzy9dHugQAiEkRvWXiu+++01VXXaV9+/apS5cuOuOMM/TRRx+pS5cukqTHH39cDodDl112mWpqajRx4kQ9/fTT1vOdTqdef/113XDDDSosLFR6erqmTp2qBx54IFItAUBU8t06AQAIFlV/qS5SKioqlJ2d3SY3aQNAe/CtDs/OGR60UuwbIxADiGVtmdei6h5iAEDLNfdWCW6pAIDQCMQAAABIaARiAIhhrVn1ZaUYAOwIxAAAAEhoBGIAiEHHu8rLKjEANCIQA0CCIhQDQD0CMQDEGIIsAIQXgRgAYki4wzDhGgAIxAAAAEhwBGIAiBFtuZrLSjGAREYgBgAAQEIjEANAlGuv1VtWiQEkKgIxAMBCKAaQiAjEABDFCKgA0PYIxAAAG0I4gERDIAYAAEBCIxADQBSKhlXaaKgBANoDgRgAogxBFADaF4EYAKJItIXhaKsHANoCgRgAcFSEYgDxjkAMAFGC4AkAkUEgBgAcE2EdQDwjEAMAACChEYgBIMJYfQWAyCIQA0AExVoYjrV6AaA5CMQAECGxGi5jtW4AaAqBGAAAAAmNQAwAEcAqKwBEDwIxAKBVCPUA4gWBGAAAAAmNQAwA7SjeVlXjrR8AiYlADADtJF7DY7z2BSBxEIgBoB3Ee2iM9/4AxDcCMQAAABIagRgA2hirpwAQ3QjEAICwIfwDiEUEYgAAACQ0AjEAtJFEXS1N1L4BxC4CMQC0gUQPhYneP4DYQiAGALQJQjGAWEEgBgAAQEIjEANAGLEqCgCxh0AMAGhTfEgAEO0IxAAQJgQ/AIhNBGIACAPC8NHx+gCIZgRiAEC7IBQDiFYEYgA4TgS95uO1AhCNCMQAAABIaARiAGglVjsBID4QiAEA7Y4PEwCiCYEYAFqBQAcA8YNADAAtRBgOD15HANGCQAwAAICERiAGgBZgVTP8eE0BRBqBGAAAAAmNQAwAzcAqZtvi9QUQSQRiAEBUIBQDiBQCMQAcA0ENAOIbgRgAjoIw3L54vQFEAoEYAAAACY1ADABNYLUycnjtAbQnAjEAAAASGoEYAAKwOhkd2A8A2guBGAAQtQjFANoDgRgA/BDAACDxEIgBAFGNDykA2hqBGAAAAAmNQAwAYhUSABIZgRhAwiMMxwb2E4C2QiAGkNAIWbGF/QWgLRCIAQAxhVAMINwIxAASFsEKACARiAEAMYgPMwDCiUAMAACAhEYgBpBwWF0EAPgjEANIKITh+ML+BBAOBGIACYPwFJ/YrwCOV9QE4t/85jcyDEOzZ8+2xqqrqzVz5kx17txZGRkZuuyyy7R7927b83bs2KHJkyerY8eOcrlcuv3221VXV9fO1QMAACBWRUUgXrt2rZ577jkNHTrUNn7rrbfqtdde08svv6z33ntPpaWluvTSS63HPR6PJk+erNraWq1atUqLFy/WokWLdM8997R3CwCiHKuIAICmRDwQV1ZW6pprrtH//u//qlOnTta42+3WCy+8oHnz5mns2LEaOXKkFi5cqFWrVumjjz6SJL399tv6/PPP9ec//1nDhw/XpEmT9OCDD2rBggWqra2NVEsAgAjgQw+A1kqKdAEzZ87U5MmTNX78eD300EPW+Lp163TkyBGNHz/eGhs4cKBOPPFErV69WmPGjNHq1as1ZMgQde3a1dpm4sSJuuGGG7Rp0yaNGDEi5O+sqalRTU2N9XNFRYUkqa6uzrrdwuFwyOFwyOv1yuv1Wtv6xj0ej0zTPOa40+mUYRhBt3E4nU5J9avczRlPSkqSaZq2ccMw5HQ6g2psapye6CmRezI8jb/XdDpkmqZtTIbR8KApw2uqrq6u/nHDkOkwJP8xSaZhSA5DXq/XPnfDPIbXlMzG55gOQzIM+9ySNe4/5hv3r9E2T8P8tnmcDtvv8/VkBtRYV1cnw2taPRn+NTb01FSv/q9jXV2dZJpWTyF79XiDe/XrxTaP7zXz77Whp5D7I6BX376PxmPPX7ycT/RET5HoqS1viY1oIH7xxRf1ySefaO3atUGP7dq1S8nJycrJybGNd+3aVbt27bK28Q/Dvsd9jzVl7ty5uv/++4PGi4uLlZ6eLknq0qWL+vXrp5KSEu3du9faJj8/X/n5+dqyZYvcbrc13rdvX7lcLm3cuFFVVVXW+MCBA5WTk6Pi4mLbDh46dKiSk5NVVFRkq2HUqFGqra3VZ599Zo05nU6ddtppcrvd+vLLL63xtLQ0DRs2TGVlZdq2bZs1np2drUGDBqm0tFTfffedNU5P9JSIPT1Ttl6nfVMn15H6D75ep6G9BV3kdrvl+rzM2rYu1SnlSmkHqpX1n4Mq6lAk15EK1WQkq7xPjtL3HlbRliJrnqpOqarIz1JJSYlcpY3zVLrSpVwpe7tbKZW11jwVJ2SqKjdNuVv3q8jTOM+B3tmqzUxRcXGxXNUHrHnK+ufK4/FYNfrm2VOQJ8cRr/K+2m+N+XpKrqxV0ebGuetSndrXv7PKysrk2tw4T3ZKtdVTxp5D1jy+nrJKD9p6rXSl61DXdG3ZskWussZ50lym1VNStceax9dT3uZ9KnI0zlPWP1feDg4VFTWOFXUoktE/2erJN5bnPWj11OkbtzW3r6e0A9W2XrfkbZG6Sy98tVpDDjij4tiLx/OJnugpkj0VFxerrRimf2RvR99++61GjRqlZcuWWfcOn3POORo+fLjmz5+vJUuWaNq0abaVXEkaPXq0zj33XD388MOaMWOGtm/frrfeest6/PDhw0pPT9fSpUs1adKkkL871Apxz549tW/fPmVlZUmK/KegePxkR0/01N49PXVwgyRpVuYQLXA3vjmYToduyR6mJ/f7XVwNQ7fkjtD8A8UyvKZmZg+tf47fCvGsrMZ5fKumN2cN1e8OrG+c2zA0O3eEnthfLJmN8/ivEM/0n6dhfFbGYHuNDkO35Ay3arTNI9lrVOMKsa3Xhtr9a5yZPVQLKjbYVoituf1WiEP1elPmED1V/qk1z1MHN9hWiIN69XjtNTbU7l+jNY8aV4itefxWiIP2R0Cvs3KG6XcHN9h68j+WOJ/oiZ5iv6cDBw6oc+fOcrvdVl4Ll4itEK9bt0579uzRqaeeao15PB69//77euqpp/TWW2+ptrZW5eXltlXi3bt3q1u3bpKkbt266eOPP7bN6/sWCt82oaSkpCglJSVoPCkpSUlJ9pfEtzMD+XZOc8cD523NuGEYIcebqrGl4/RET02Nx2JP88vXW7dBJCUl1YcrP4ZhBI01PCDTaQQ/xxFiTPU9hZqnPvwFP8dsYp5j1Rg0T6gajWPXmJSUZAVTOQyZIWpsqlen02mbx/f6Ntmr03HMXm3zOEPsr6b2R0Cv1rHS0NNTlRs1O2e47TXgfKIneoq/nsIlYn+pbty4cdqwYYPWr19v/Tdq1Chdc8011p87dOig5cuXW8/ZvHmzduzYocLCQklSYWGhNmzYoD179ljbLFu2TFlZWSooKGj3ngAAABB7IrZCnJmZqcGDB9vG0tPT1blzZ2t8+vTpmjNnjnJzc5WVlaWbbrpJhYWFGjNmjCRpwoQJKigo0E9+8hM98sgj2rVrl+6++27NnDkz5AowgMTAtw0AAFoi4l+7djSPP/64LrjgAl122WU666yz1K1bN73yyivW406nU6+//rqcTqcKCws1ZcoUXXvttXrggQciWDUAIFrw4QhAc0T8a9f8vfvuu7afU1NTtWDBAi1YsKDJ5/Tq1UtLly5t48oAAAAQr6J6hRgAWoLVQITCcQHgWAjEAIC4RygGcDQEYgBxgcCDY+EYAdAUAjEAAAASGoEYQExj1Q8AcLwIxACAhMKHKACBCMQAYhbBBgAQDgRiADGJMIzjwfEDwB+BGACQkAjFAHwIxABiDkEG4cKxBEAiEAMAACDBEYgBxAxW89AWOK4AEIgBAAmPUAwkNgIxgJhAYAEAtBUCMYCoRxhGe+A4AxIXgRgAAAAJjUAMIKqxaof2xjEHJB4CMQAAABIagRhAVGKVDpHE8QckFgIxAAAhEIqBxEEgBhB1CCIAgPZEIAYQVQjDiCYcj0BiIBADAAAgoRGIAUQNVuMAAJFAIAYA4Bj4sAbENwIxgIgjbCAWcJwC8YtADABAMxGKgfhEIAYQUQQMAECkEYgBAGgBPsQB8YdADAAAgIRGIAYQEayyAQCiBYEYQLsjDCMecBwD8YNADKBdESIQTziegfhAIAYA4DgQioHYRyAG0G4IDgCAaEQgBgDgOPFhD4htBGIAAAAkNAIxgDbH6hkSAcc5ELsIxADaFCEBiYTjHYhNBGIAbYZwgETEcQ/EHgIxAAAAEhqBGECbYJUMABArCMQAALQBPhQCsYNADAAAgIRGIAYQVqyKAY04H4DYQCAGAKANEYqB6EcgBhAW88vX88YPNIFzA4huBGIAAAAkNAIxgOPG6hcAIJYRiAEAaCd8eASiE4EYAAAACY1ADKDVWO0CWo7zBog+BGIAANoZoRiILgRiAK3CGzpwfDiHgOhBIAYAAEBCIxADaBFWtQAA8YZADABABPEhE4g8AjGAZuONGwAQjwjEAJqFMAy0Hc4vILIIxAAARAFCMRA5BGIAx8QbNdA+ONeAyCAQAwAAIKERiAE0idUqoP1x3gHtj0AMAECUIRQD7YtADCAk3pABAImCQAwgCGEYiDzOQ6D9EIgBAACQ0AjEAGxYlQIAJBoCMQAAUYwPqUDbIxADkMSbLhDNOD+BtkUgBgAgBhCKgbZDIAbAGy0AIKERiIEERxgGYgfnK9A2CMQAAABIaARiIIGx2gQAAIEYSFiEYSB2cf4C4UUgBhIQb6ZA7OM8BsInooH4mWee0dChQ5WVlaWsrCwVFhbqX//6l/V4dXW1Zs6cqc6dOysjI0OXXXaZdu/ebZtjx44dmjx5sjp27CiXy6Xbb79ddXV17d0KAADtjlAMhEdEA3F+fr5+85vfaN26dSoqKtLYsWN10UUXadOmTZKkW2+9Va+99ppefvllvffeeyotLdWll15qPd/j8Wjy5Mmqra3VqlWrtHjxYi1atEj33HNPpFoCoh5voAAA2EU0EF944YU6//zz1b9/fw0YMEC/+tWvlJGRoY8++khut1svvPCC5s2bp7Fjx2rkyJFauHChVq1apY8++kiS9Pbbb+vzzz/Xn//8Zw0fPlyTJk3Sgw8+qAULFqi2tjaSrQEA0C74kAscv6RIF+Dj8Xj08ssv69ChQyosLNS6det05MgRjR8/3tpm4MCBOvHEE7V69WqNGTNGq1ev1pAhQ9S1a1drm4kTJ+qGG27Qpk2bNGLEiJC/q6amRjU1NdbPFRUVkqS6ujrrdguHwyGHwyGv1yuv12tt6xv3eDwyTfOY406nU4ZhBN3G4XQ6rb6bM56UlCTTNG3jhmHI6XQG1djUOD3RkySpYRvDa9qHHYZM05Th8SqIadq2t/ozTdXV1TU+xzBkOgx5vV7bPKZh1P/Ba8rwq9HXn+G1z2M6DMkw5PF47PM46ucJrNE0TavGoHkke42STKcjuFdfjYHzNPSkwLkNQzpKr4bXtL0+vp6a6jWoxoD9YZsn1GvmdDRrf9TV1cnwmlZPhn+NDT011av//qirq6s/lhp6Ctmrx3vM/WHNo8Zj0pqnoaeQ+yOgV+uY9DvG6urqJK9p9RSqV1/tPv7HpPzn8fV6lP3R1DHpY52LfuO2/RGwvY5x3gT2ynWPnuK9p7a8JbZVgXjbtm3q27dvWArYsGGDCgsLVV1drYyMDL366qsqKCjQ+vXrlZycrJycHNv2Xbt21a5duyRJu3btsoVh3+O+x5oyd+5c3X///UHjxcXFSk9PlyR16dJF/fr1U0lJifbu3Wttk5+fr/z8fG3ZskVut9sa79u3r1wulzZu3KiqqiprfODAgcrJyVFxcbFtBw8dOlTJyckqKiqy1TBq1CjV1tbqs88+s8acTqdOO+00ud1uffnll9Z4Wlqahg0bprKyMm3bts0az87O1qBBg1RaWqrvvvvOGqenxO6p5EiF+nTIkrN3krwdHHJ9XmbraU9BnqqqqmzjXqchfU9KrqxVp28af+fGrI1SLyntQLWKNhfJdaT+Q2VNRrLK++SotLRUrpLGeao6pUq5UlbpQaUdqLbGS/uUShlS9na3imoa56k4IVNVuWnauHGjXBWN8xzonS11kvI275PD03hxrRpZJcNryvV5mYo6NM6zpyBPjiNeW41ep6G9BV3kdrttvdalOqXc+p6y/nPQmsfXU/rewyra0jhPVadUVeRnqaSkRK7SxnkqXelSbn1PKZW11jy+nnK37leRp3GeA72zVZuZouLiYrmqD1jzlPXPlcfjsWr0zePrKe+r/daYr6fkylpbr3WpTu3r31llZWVybW6cJzul2uopY88hax5fT1mlB229VrrSdahrurZs2SJXWeM8aS7T6imp2mPN4+spb/M+FTka5ynrnytvB4eKihrHijoUyeifbPXkG8vzHrR66vSN25rb11Pgsbclb4vUXVZPvnmyMmqtntIOVFvz+Hry7SfrdT+5TEqW1ZNvnuQTDKsnh8e05vH1FHg+eQo9ctZ4rJ4kqTi1WOrfwXY+FXUoUq7zkNVT1n8OWtvXZCRLufaeJKmkR4nU2X4+FXUo4rpHT3HfU3FxsdqKYfpH9mZyOBw6++yzNX36dF1++eVKTU1tdQG1tbXasWOH3G63/vrXv+r3v/+93nvvPa1fv17Tpk2zreRK0ujRo3Xuuefq4Ycf1owZM7R9+3a99dZb1uOHDx9Wenq6li5dqkmTJoX8naFWiHv27Kl9+/YpKyvL6pFPdvQULz0tcNdfGGdmD9VTBzfU//4QK8S35AzXk/vtF5xbOp+q+QeKbdvPyhmm3x3cIJmmZmUOseb3rd7dnDVUvzuwvnFuw9Ds3BGav7/YttJ1U6fherLiMxleUzOzGufxrTDelDlET5V/aqtxdqcRemLfJ7Yab84doSfK19fPkz3UPo9kr1H1q6m3ZA+z92oYuiV3hNWrNY/fCvEs/xobVhib6vWJ/cWS2TiP/wpxqF5nZQy21xiwP2zzNOw/W68Nq6nH2h8zs4dqQcUG2wqxNbffCnGoXv33h3Us+a0QB/Xq8R5zf4Q6Jq15/FaIg/ZHQK/WMem3ajoze6ieqthgWyEO7DVwhdj/mJT/PL5eG1aIQ+2Ppo5Jn5nZQ/VU5UbbSrBtf4RYIb7lKOdNqF5n547gukdPcdvTgQMH1LlzZ7ndbiuvhUurVog/+eQTLVy4UHPmzNGsWbN0xRVXaPr06Ro9enSL50pOTtZJJ50kSRo5cqTWrl2rJ554QldccYVqa2tVXl5uWyXevXu3unXrJknq1q2bPv74Y9t8vm+h8G0TSkpKilJSUoLGk5KSlJRkf0l8OzOQb+c0dzxw3taMG4YRcrypGls6Tk/x2dNTlRslp6Ox3ob/DWs6jZC1m84Qf7XAMGzbW7+rodfA5zgcjtDzOAyZMmzbSfVBKdQ8Tqcz5DyBY4ZhWDWGmifU2LF6DXpOEzU21Wt9UAp+TlO9HqvGoHlC1diM/ZGUlGSFON/+aG6v/vvDdiw11avTccxeQx2Ttuc0tT8CerWOSb9jLCkpqT4MH6VXX+3+r1XguL3GpveHP/9j0r9v/56seXw1BmzfWFTo8yZUr/PL12t2zvDgOZRY1z16SpyewqVVf6lu+PDheuKJJ1RaWqo//OEP2rlzp8444wwNHjxY8+bNsy2jt5TX61VNTY1GjhypDh06aPny5dZjmzdv1o4dO1RYWChJKiws1IYNG7Rnzx5rm2XLlikrK0sFBQWtrgEAgFjFX7IDWu64vmUiKSlJl156qV5++WU9/PDD+vrrr3XbbbepZ8+euvbaa7Vz586jPv+uu+7S+++/r2+++UYbNmzQXXfdpXfffVfXXHONsrOzNX36dM2ZM0crV67UunXrNG3aNBUWFmrMmDGSpAkTJqigoEA/+clP9Omnn+qtt97S3XffrZkzZ4ZcAQYSDW+MAAAc23EF4qKiIt14443q3r275s2bp9tuu01bt27VsmXLVFpaqosuuuioz9+zZ4+uvfZanXzyyRo3bpzWrl2rt956S+edd54k6fHHH9cFF1ygyy67TGeddZa6deumV155xXq+0+nU66+/LqfTqcLCQk2ZMkXXXnutHnjggeNpCwCAmMaHYaBlWnUzxrx587Rw4UJt3rxZ559/vv74xz/q/PPPt+4n6dOnjxYtWqTevXsfdZ4XXnjhqI+npqZqwYIFWrBgQZPb9OrVS0uXLm1xDwAAAIDUyhXiZ555RldffbW2b9+uv//977rggguCbq52uVzHDLwA2garQwC4DgDN16oV4q+++uqY2yQnJ2vq1KmtmR4AAITB0b51AkCjVq0QL1y4UC+//HLQ+Msvv6zFixcfd1EAWmd++XpWhQDYcE0Ajq1VgXju3LnKy8sLGne5XPr1r3993EUBAAAA7aVVgXjHjh3q06dP0HivXr20Y8eO4y4KQMuxCgQAQOu0KhC7XC7bv5Ht8+mnn6pz587HXRQAAAgvPjQDTWtVIL7qqqt08803a+XKlfJ4PPJ4PFqxYoVuueUWXXnlleGuEQAAAGgzrQrEDz74oE4//XSNGzdOaWlpSktL04QJEzR27FjuIQbaGas+AJqL6wUQWqu+di05OVkvvfSSHnzwQX366adKS0vTkCFD1KtXr3DXBwAAwoivYgOCtSoQ+wwYMEADBgwIVy0AWoCVHgCtRSgG7FoViD0ejxYtWqTly5drz5498nq9tsdXrFgRluIAAACAttaqQHzLLbdo0aJFmjx5sgYPHizDMMJdF4CjYHUYAIDwaVUgfvHFF/X//t//0/nnnx/uegAAQDvh1gmgXqu+ZSI5OVknnXRSuGsB0AysDgMAEF6tCsQ///nP9cQTT8g0zXDXA+AoCMMAwo3rCtDKWyY++OADrVy5Uv/61790yimnqEOHDrbHX3nllbAUBwAA2h63TiDRtSoQ5+Tk6JJLLgl3LQCOglUcAG2JUIxE1qpAvHDhwnDXAQAAAEREq+4hlqS6ujq98847eu6553Tw4EFJUmlpqSorK8NWHABWhgEAaGutWiHevn27fvCDH2jHjh2qqanReeedp8zMTD388MOqqanRs88+G+46AQBAO+DWCSSiVq0Q33LLLRo1apQOHDigtLQ0a/ySSy7R8uXLw1YckOhYHQYAoO21aoX43//+t1atWqXk5GTbeO/evfWf//wnLIUBiY4wDCBSWCVGomnVCrHX65XH4wka/+6775SZmXncRQEAgMjiQzkSSasC8YQJEzR//nzrZ8MwVFlZqXvvvZd/zhkIA96IAABoP60KxI899pg+/PBDFRQUqLq6WldffbV1u8TDDz8c7hoBAEAE8OEciaJV9xDn5+fr008/1YsvvqjPPvtMlZWVmj59uq655hrbX7ID0DLctwcg2nBdQiJoVSCWpKSkJE2ZMiWctQAAgChEKEa8a1Ug/uMf/3jUx6+99tpWFQMkMv7XJAAAkdGqQHzLLbfYfj5y5IgOHz6s5ORkdezYkUAMtBBhGEC0Y5UY8axVf6nuwIEDtv8qKyu1efNmnXHGGfrLX/4S7hoBAACANtOqQBxK//799Zvf/CZo9RjA0bE6DABAZIUtEEv1f9GutLQ0nFMCAIAowod4xKNW3UP8z3/+0/azaZrauXOnnnrqKX3/+98PS2FAvON+PACxiusX4k2rAvHFF19s+9kwDHXp0kVjx47VY489Fo66AABAFCMUI560KhB7vd5w1wEkFP6XIwAA0SOs9xADODbCMIB4wfUM8aJVK8Rz5sxp9rbz5s1rza8AAAAA2kWrAnFxcbGKi4t15MgRnXzyyZKkLVu2yOl06tRTT7W2MwwjPFUCcYLVFAAAok+rAvGFF16ozMxMLV68WJ06dZJU/491TJs2TWeeeaZ+/vOfh7VIIB4QhgHEK/6CHWJdq+4hfuyxxzR37lwrDEtSp06d9NBDD/EtE0AIhGEA8Y7rHGJZqwJxRUWF9u7dGzS+d+9eHTx48LiLAgAAsYdQjFjVqkB8ySWXaNq0aXrllVf03Xff6bvvvtPf/vY3TZ8+XZdeemm4awRiGm8QAABEt1bdQ/zss8/qtttu09VXX60jR47UT5SUpOnTp+vRRx8Na4EAACB2cD8xYlGrAnHHjh319NNP69FHH9XWrVslSf369VN6enpYiwMAAADa2nH9wxw7d+7Uzp071b9/f6Wnp8s0zXDVBcQ8bpUAACA2tCoQ79u3T+PGjdOAAQN0/vnna+fOnZKk6dOn85VrAACARQHElFYF4ltvvVUdOnTQjh071LFjR2v8iiuu0Jtvvhm24oBYNL98PW8EACBCMWJHqwLx22+/rYcfflj5+fm28f79+2v79u1hKQwAAMQ+QjFiQasC8aFDh2wrwz779+9XSkrKcRcFxCou/AAAxJ5WBeIzzzxTf/zjH62fDcOQ1+vVI488onPPPTdsxQEAgNjHYgGiXau+du2RRx7RuHHjVFRUpNraWt1xxx3atGmT9u/frw8//DDcNQIAAABtplUrxIMHD9aWLVt0xhln6KKLLtKhQ4d06aWXqri4WP369Qt3jUDUY/UDAI6O6ySiWYtXiI8cOaIf/OAHevbZZ/XLX/6yLWoCAABxiH/FDtGqxSvEHTp00GeffdYWtQAxh69YA4CW4ZqJaNSqWyamTJmiF154Idy1AAAAAO2uVX+prq6uTn/4wx/0zjvvaOTIkUpPT7c9Pm/evLAUB0QzVjkAAIgPLQrE27ZtU+/evbVx40adeuqpkqQtW7bYtjEMI3zVAQCAuMT9xIgmLQrE/fv3186dO7Vy5UpJ9f9U85NPPqmuXbu2SXEAAABAW2vRPcSmadp+/te//qVDhw6FtSAg2nGrBACEB9dTRItW/aU6n8CADAAA0BKEYkSDFgViwzCC7hHmnmEkCr5iDQDaBtdWRFqL7iE2TVP/9V//pZSUFElSdXW1fvaznwV9y8Qrr7wSvgoBAACANtSiQDx16lTbz1OmTAlrMUC0YvUCAID41aJAvHDhwraqAwAAJDi+ig2Rclx/qQ5IBKwOAwAQ3wjEwFEQhgGgfXHdRSQQiAEAQFQhFKO9EYiBJnBBBgAgMRCIAQBA1GFRAu2JQAwE4CIMAEBiIRADAICoxSIF2gOBGPDDhRcAgMRDIAYaEIYBIDpxfUZbIxADAICoRyhGWyIQA+JCCwBAIiMQAwCAmMDiBdoKgRgJjYsrAMQWrttoCxENxHPnztVpp52mzMxMuVwuXXzxxdq8ebNtm+rqas2cOVOdO3dWRkaGLrvsMu3evdu2zY4dOzR58mR17NhRLpdLt99+u+rq6tqzFQAA0E4IxQi3iAbi9957TzNnztRHH32kZcuW6ciRI5owYYIOHTpkbXPrrbfqtdde08svv6z33ntPpaWluvTSS63HPR6PJk+erNraWq1atUqLFy/WokWLdM8990SiJcQQLqgAAECSkiL5y998803bz4sWLZLL5dK6det01llnye1264UXXtCSJUs0duxYSdLChQs1aNAgffTRRxozZozefvttff7553rnnXfUtWtXDR8+XA8++KDuvPNO3XfffUpOTo5Ea4hyhGEAiG3zy9drds7wSJeBOBHRQBzI7XZLknJzcyVJ69at05EjRzR+/Hhrm4EDB+rEE0/U6tWrNWbMGK1evVpDhgxR165drW0mTpyoG264QZs2bdKIESOCfk9NTY1qamqsnysqKiRJdXV11q0WDodDDodDXq9XXq/X2tY37vF4ZJrmMcedTqcMwwi6hcPpdEqqX+FuznhSUpJM07SNG4Yhp9MZVGNT4/TUOG54TalhvK6urv7PhiHD47XGDI9XpsOo//3exjkk1c9pmrZx6/XwG6+rq5PhNevnCdheRv3c8poy/Gq0+vAbr6urk7ym5DBstUuy1+g/3vBnX0+2XkP15DBkmqZte7/JbNtb+8w0rdfK15PpMOT1em3zmMfo1fDa5zEdhmQY8ng89nl8vQbU6L8/guaR7DVKMp2O4F59NQbO09CTAuc2DOkovfr2h+1YMowmew2qMWB/hDombfM4Hc3aH7ZjsmF/WHM39NRUr/77w3beNNWrx3vM/RHqmLTmaegp5P4I6NU6Jps4b5rqNfC88T8muUaE5xoR2FNrrxFBPTVcI+Lt/Ymemu6pLW+HjZpA7PV6NXv2bH3/+9/X4MGDJUm7du1ScnKycnJybNt27dpVu3btsrbxD8O+x32PhTJ37lzdf//9QePFxcVKT0+XJHXp0kX9+vVTSUmJ9u7da22Tn5+v/Px8bdmyxQrwktS3b1+5XC5t3LhRVVVV1vjAgQOVk5Oj4uJi2w4eOnSokpOTVVRUZKth1KhRqq2t1WeffWaNOZ1OnXbaaXK73fryyy+t8bS0NA0bNkxlZWXatm2bNZ6dna1BgwaptLRU3333nTVOT/U9LUkuVeet+5VUXV97UYciJZ9gqDYzRXmb98nhMVXUoUiuIxUq658rbweHXJ+X2XryFHrkrPEo76v91lhxarHUv4OSK2vV6Ru3NXeu85D29e+stAPVyvrPQWv7moxkKVdK33tYGXsabxMq6VEidZaySg8q7UC1NU96J48OdU1X9na3Uiprre0rTsiUOkm5fj1JkntIfQ2+nnzzOHsnhexpT0GeqqqqbONepyF9T7aeJGlj1kapl5R2oFpFm+tfK19P5X1yVFpaKldJ4zxVnVKlXHtPklTap1TKkLK3u1VU0zhPxQmZqspN08aNG+WqaJznQO9sqZO9J0mqGlklw2vK9XmZte98PTmOeG01ep2G9hZ0kdvttvVal+qUcmXtJ988vp7S9x5W0ZbGeao6paoiP0slJSVylTbOU+lKl3Jl7SffPL6ecrfuV5GncZ4DvbNVm5mi4uJiuaoPWPOU9c+Vx+OxavTN4+sp76v91pivp+TKWluvdalO7evfWWVlZXJtbpwnO6Xa6iljzyFrHl9PWaUHbb1WutJ1qGu6tmzZIldZ4zxpLtPqKanaY83j6ylv8z4VORrn8Z1PRUWNY0UdimT0T7Z68o3leQ9aPXX6xm3N7esp8NjbkrdF6m4/n4o6FCkro9bqKe1AtTWPr6fA86ns5DIp2X4+cY2o19prRGBPrb1GBPbku0bE0/tTPL7nhrOn4uJitZWoCcQzZ87Uxo0b9cEHH7T577rrrrs0Z84c6+eKigr17NlTI0aMUFZWlqT6TzWS1KdPH/Xq1cva1jc+YMCAoE9BkjR48OCgT0GSglaqfeOjRo0KGk9LSwsal+oPUP9xo+ETdV5enrWq7j/eo0cPdevWLajGhO+polT7++Vaqw0/yh6qjw5ukCSVndzZGlvj/sxaWdlTkBfUkyfFaRv/UfZQfVi5UbUZydb4j7KHak1F/dxVnVJVnZ3SOElDT4e6dNThvDRruE+nPlLFZ6rokamD3TMaa2yYx90rO+Tqj39PvtdW7saeAnsN7Ml0GEpLSwsal2TrSZJ+nDNYKw9uUFWnVI06cYjWuD+z9dSjRw/tSdvTOHfDuH9PktSjUw+pokzuXtkaldU4j6+nwYMH693yxoulb9y/J6n+om7WGNpTkGftO9/2nhSnRo0a3lij3+tj67WhRt9+subx20+j+vnV2DDep08fvZ7T+AbgG/ftp8BjaX+/3JC9jhgxQqv8ajQd9Ss0tmOpYR7fseffq28/jRoVvD/y8vK0xxl8TPqOPWtuv/1kq7FhfMCAAXrbVWXN4zuWfMdeYK9lJ3fWFQH7Q6q/RvjGfPP4n0/+ffmOvcD9EXjsDcgZoLcObrCdT/7nje/YC+w18HzK65THNSLM14hQPbXmGhGqp8GDB+up8k81M3uopDh4f1IcvueGsadQ/9c/XKIiEM+aNUuvv/663n//feXn51vj3bp1U21trcrLy22rxLt377Z2ULdu3fTxxx/b5vN9C4X/TvSXkpKilJSUoPGkpCQlJdlfEt9yfyDfTmvueOC8rRk3DCPkeFM1tnQ83nvyv9+s/mJqNNbVcPKbToc15vtz/bgRVLcMwzZu9eE3npSUZF24A7dvLN6QqcZxqw+/8aSkpPr/7RtQu7/AcSOgp+Beg+cwDMO2vd8Dtu2t17Vh/wU+x+FwhJ6niV5NR+h5nE5nyHkCx/z3R6h5Qo0dq9eg5zRRY1O9+vZH0LHUxDzHqjHUMRn0nGbsD9sx2bA/mtur//6wHUtN9ep0HLPXUMek7TlN7Y+AXq1jsonzpqleA88b/2OSa0R4rhGh5mnNNSJUT75j8qnKjbb7iWPt/ak54/TU9Hg4RPRbJkzT1KxZs/Tqq69qxYoV6tOnj+3xkSNHqkOHDlq+fLk1tnnzZu3YsUOFhYWSpMLCQm3YsEF79jR+0ly2bJmysrJUUFDQPo0AAICI4i9L43hEdIV45syZWrJkif7xj38oMzPTuuc3OztbaWlpys7O1vTp0zVnzhzl5uYqKytLN910kwoLCzVmzBhJ0oQJE1RQUKCf/OQneuSRR7Rr1y7dfffdmjlzZshVYCQmLpQAAKApEV0hfuaZZ+R2u3XOOeeoe/fu1n8vvfSStc3jjz+uCy64QJdddpnOOussdevWTa+88or1uNPp1Ouvvy6n06nCwkJNmTJF1157rR544IFItIQoRBgGgMTA9R6tFdEVYv8brJuSmpqqBQsWaMGCBU1u06tXLy1dujScpQEAACBBRHSFGGhrrBYAAIBjIRADAIC4wmIIWopAjLg0v3w9F0QASGC8B6AlCMQAACAuEYrRXARixB0ugAAAoCUIxAAAIG6xSILmIBADAAAgoRGIETdYBQAAAK1BIAYAAHGPRRMcDYEYMY+vWAMANAfvFWgKgRgAAAAJjUCMmManfQAAcLwIxAAAIKGwmIJABGIAAAAkNAIxYhKf7gEAx4P3EfgjEAMAgIREKIYPgRgxha9YAwCEE+8pkAjEAAAASHAEYsQMPsUDAIC2QCAGAAAJj0WXxEYgBgAAQEIjECPq8akdANAeeL9JXARiAACABoTixEQgRlTjwgQAANoagRhRizAMAIgE3n8SD4EYUYmLEQAAaC8EYgAAgBBYnEkcBGJEHS5AAACgPRGIEVUIwwCAaML7UmIgEAMAABwFoTj+EYgRNbjgAACASCAQAwAAHAOLNvGNQIyI4yIDAAAiiUAMAADQTCzixCcCMSKKCwsAAIg0AjEihjAMAIhFvH/FHwIxAAAAEhqBGBHBp2sAABAtCMQAAACtwOJO/CAQo11x8QAAxBPe1+IDgRgAAOA4EIpjH4EY7YYLBgAAiEYEYrQLwjAAIJ7xPhfbCMQAAABIaARitDk+NQMAgGhGIAYAAAgTFoFiE4EYbYaLAgAgEfH+F3sIxAAAAGFGKI4tBGK0CS4EAAAgVhCIEXaEYQAAeD+MJQRiAAAAJDQCMcKKT8MAACDWEIgBAADaEItF0Y9AjLCYX76eEx4AgCbwHhndCMQAAADtgFAcvQjEOG6c4AAAIJYRiAEAANoJi0jRiUAMAACAhEYgRqvxKRcAAMQDAjEAAEA7Y1EpuhCI0WJ8xRoAAMeP99LoQSAGAABAQiMQo0X4NAsAAOINgRgAACCCWGyKPAIxAAAAEhqBGM3Cp1cAANoO77ORRSAGAACIAoTiyCEQ45g4QQEAQDwjEOOoCMMAALQf3ncjg0CMJnFSAgCAREAgBgAAiDIsSrUvAjEAAAASGoEYQfhUCgBA5PF+3H4IxAAAAFGKUNw+CMSw4cQDAACJhkAMAAAQxVisansEYkjiZAMAAIkrooH4/fff14UXXqgePXrIMAz9/e9/tz1umqbuuecede/eXWlpaRo/fry++uor2zb79+/XNddco6ysLOXk5Gj69OmqrKxsxy4AAADaHotXbSeigfjQoUMaNmyYFixYEPLxRx55RE8++aSeffZZrVmzRunp6Zo4caKqq6utba655hpt2rRJy5Yt0+uvv673339fM2bMaK8W4gInGAAASGRJkfzlkyZN0qRJk0I+Zpqm5s+fr7vvvlsXXXSRJOmPf/yjunbtqr///e+68sor9cUXX+jNN9/U2rVrNWrUKEnS7373O51//vn67W9/qx49erRbL7GKMAwAQOyYX75es3OGR7qMuBPRQHw0JSUl2rVrl8aPH2+NZWdn6/TTT9fq1at15ZVXavXq1crJybHCsCSNHz9eDodDa9as0SWXXBJy7pqaGtXU1Fg/V1RUSJLq6upUV1cnSXI4HHI4HPJ6vfJ6vda2vnGPxyPTNI857nQ6ZRiGNa//uCR5PJ5mjSclJck0Tdu4YRhyOp1BNTY1Hqonw+OVaRiSw5DH45Hh8VqvhUxTMgwZXlMyTdXV1dVv7zDqxz1ea0xS/bhUv30Dax6/cWsep0MyTRnexrllGPXzNIz7WH17TRlm4zzympLDsMatuRt68tXuY/XtN27r1a9/q9eAnqT6D2yBNVr72G+8rq5OhtcM2ZMMI6gn/xqb6jWwJ1uN/uO+193TeAyE2h/+85imadveb7LQ+8PvNff1ZDoMeb1e2zzmMXq1HQO+ngz7MWnrNaBG//0R6pi01SjJdDqCe/XV2NQxGTh3wzHWVK9NnjdN9BpUY8D+CHVM2uZpOJ+OtT9sx2QT501TvYbrGuE/djzXCP95uEZE7zUisKfWXiOCekrga8QT+z7Rzbkj7K91g/bOEf7jbZ2NArcPp6gNxLt27ZIkde3a1TbetWtX67Fdu3bJ5XLZHk9KSlJubq61TShz587V/fffHzReXFys9PR0SVKXLl3Ur18/lZSUaO/evdY2+fn5ys/P15YtW+R2u63xvn37yuVyaePGjaqqqrLGBw4cqJycHBUXF9t28NChQ5WcnKyioiJbDaNGjVJtba0+++wza8zpdOq0006T2+3Wl19+aY2npaVp2LBhKisr07Zt26zx7OxsDRo0SKWlpfruu++s8cCeSo5UyCWp0pWuQ13TtWXLFrnKyiRJRR2KlOYyVZWbptyt+5VU7VFRhyK5jlToQO9s1WamKG/zPhU56sckqax/rrwdHHJ9Xmb9zqIORTL6J8txxKu8r/ZbY3neg9pb0EXJlbXq9I3bmrsu1al9/Tsr7UC1sv5z0JpnS94WqbuUvvewMvYcsubJyqhVRX6WskoPKu1AtTWPr6fs7W6lVNZa85SdXCYly+rJN0/yCYbVk8NjWvOE6kmSPIUeOWs8Vk+SVJxaLPXvYPXkmzvXeShkTzUZyVKuvSdJKulRInWW1ZNvnvROnpA9VZyQKXWy9yRJ7iH1Nfh68s3j7J0Usqc9BXmqqqqyjXudhvQ92XqSpI1ZG6Veqn/NNzceAzUZySrvk6PS0lK5ShrnqeqUKuXae5Kk0j6lUoaUvd2toprGeSpOyFRVbpo2btwoV0XjPAd6Z0ud7D1JUtXIKhleU67Py6x95+vJccRrq9HrNLS3oIvcbret17pUp5Qraz/55vH1lL73sIq2NM5T1SlVFflZKikpkau0cZ5KV7qUK2s/+ebx9ZS7db+KPI3z+M6n4uJiuaoPWPOU9c+Vx+OxavTN4+sp76v91pivp+TKWluvvvOprKxMrs2N82SnVFs9Zew5ZM3j6ymr9KCt13BfI4qKGseO5xrh3yvXiOi9RgT21NprRGBPiX6NqBpZFfEc4dNe2ai4uFhtJWoDcVu66667NGfOHOvniooK9ezZUyNGjFBWVpak+k81ktSnTx/16tXL2tY3PmDAgKBPQZI0ePDgoE9BkjRixAhbDb5x/9Vt33haWlrQuFR/gPqPGw2fMvPy8pSbmxs03qNHD3Xr1i2oRl9Pa9z1J4vv0+qAAQP0tqv+gP1R9lB9dHCDJGl/v1zJNPWj7KFa4/7M+kRddnJnXdEwJjV+0t5TkGf9Tt88nhSnNf4jv+fUZiRrT0Fe41hDLVWdUlWdnWLNMyBngN46uEGHunTU4by0xrkr6mus6JGpg90zGmtsmMfdK9u2qpDXKU+qKLV6Cuy17OTOthpD9eTbT/49+Z7zYeVGqydrnoYaA3vy9erfkyT16dRHqvjM6imw18CefDX69yTVHy9yN/YU2GtgT6bDUFpaWtC4JFtPkvTjnMFaeXCDqjqlatSJQ6z9Kb9jb0/ansa5G8b9e5KkHp16SBVlcvfK1qisIUHH0uDBg/VueePF0v/Y85eWliazxrAfSw3be1KcGjVqeGONfq+PrdeAYy/wmDzUpaNG9RsSdN706dNHr+c0vgEEHnuBx9L+frkhex0xYoRW+dVoOupXaALPG19Pgb369tOoUcH7Iy8vT3ucwcek79gLPG8qemTaawzzNWLUqFHW2PFcI/yPPa4R0XuNCNVTa64RoXpK5GvE8zWbdUva8IjmiMDxts5GgduHU9QGYt8O2L17t7p3726N7969W8OHD7e22bNnj+15dXV12r9/v20HBkpJSVFKSkrQeFJSkpKS7C+Jb7k/kG+nNXc8cN7WjBuGEXK8qRqbGn+y4jPNzhle/78jA2r3jSUlJVknef3JWP+7/Z9jOh1BY/Xjhr0P3zwN47bnGIZMZ/DcvnH/2uqbMmSqcR41XCh840E1NtTu/5oEjttrbOzf3mvjHPXlGUE1WvvGbzwpKcm6mAVu31hUY0/+NTbVa2BPTfVqBPQU3GvwHIZhBO3PULVb+8MIse8aegg5TxO9mo7Q8/gfk7ZeA8b890eoeUKNHavXoOc0UWNTvTZ53jQxz7FqDHVMhjpvjlWj7Zhs4rxpqtdwXSP8x47nGuE/xjUieq8RoeZpzTUiVE9cI0LnAt/2waWHJ0dEUzYKlxB7Ojr06dNH3bp10/Lly62xiooKrVmzRoWFhZKkwsJClZeXa926ddY2K1askNfr1emnn97uNQMAALQn/nJ8eER0hbiyslJff/219XNJSYnWr1+v3NxcnXjiiZo9e7Yeeugh9e/fX3369NH//M//qEePHrr44oslSYMGDdIPfvADXX/99Xr22Wd15MgRzZo1S1deeSXfMNEEThwAAAC7iAbioqIinXvuudbPvvt6p06dqkWLFumOO+7QoUOHNGPGDJWXl+uMM87Qm2++qdTUVOs5//d//6dZs2Zp3Lhxcjgcuuyyy/Tkk0+2ey+xgDAMAED84avYjl9EA/E555xju8k6kGEYeuCBB/TAAw80uU1ubq6WLFnSFuUBAAAgAUTtPcQIL1aHAQAAQiMQAwAAxAEWv1qPQBznODkAAEgcvO+3DoEYAAAgjhCKW45AHMc4IQAAAI6NQBynCMMAACQuckDLEIgBAACQ0AjEcYhPhQAAAM1HIAYAAIhTLJI1D4E4jnDQAwCAQOSDYyMQAwAAxDlC8dERiOMEBzoAAEDrEIgBAAASAItnTSMQAwAAIKERiGMcn/YAAACOD4EYAAAggbCYFoxAHKPml6/ngAYAAK1ChrAjEAMAACQgQnEjAnEM4gAGAAAIHwIxAABAgmKRrR6BGAAAAAmNQBxD+BQHAAAQfgRiAACABJfoi24E4hiR6AcqAABAWyEQxwDCMAAAaGuJnDcIxFEukQ9OAACA9kAgBgAAgCURF+MIxAAAAEhoBOIolYifzgAAQHRItBxCIAYAAECQRArFBOIolEgHIAAAQKQRiKMMYRgAAESLRMklBOIokigHHQAAQDQhEAMAAOCo4n3RjkAMAACAhEYgjgLx/qkLAADEvnjOKwRiAAAANEu8hmICcYTF64EFAAAQKwjEAAAAaLZ4XMwjEEdIPB5MAAAAsYhADAAAgBaLp8U9AnEExNMBBAAAEOsIxO2MMAwAAOJFvOQaAjEAAABaLR5CMYG4HcXDAQMAABBvCMQAAAA4LrG+6EcgbgexfpAAAADEMwIxAAAAwiJWFwEJxG0sVg8MAACAREEgbkOEYQAAkGhiMf8QiAEAAJDQCMRtJBY/HQEAACQiAjEAAADCLpYWBwnEYRZLOx8AAKAtxUouIhADAACgzcRCKCYQh1Es7HAAAADYEYjDhDAMAAAQWrTnJAIxAAAAEhqBOAyi/VMPAAAAmkYgBgAAQLuI1kVEAvFxiNadCgAAEK2iMT8RiAEAANCuoi0UE4hbKdp2JAAAAFqHQAwAAIB2F02LiwRiAAAAJDQCcQtF06cZAAAAHD8CMQAAACImGhYbCcQtEA07DAAAAOFFIG4mwjAAAEDbmF++PqJZi0DcDIRhAACA+EUgBgAAQFSI1CIkgRgAAAAJjUB8FNwqAQAAEP8IxAAAAIgq7b0oSSBuAqvDAAAAiYFAHAJhGAAAILLaM48RiAMQhgEAABJL3ATiBQsWqHfv3kpNTdXpp5+ujz/+ONIlAQAA4Di1x2JlXATil156SXPmzNG9996rTz75RMOGDdPEiRO1Z8+eSJcGAACAKBcXgXjevHm6/vrrNW3aNBUUFOjZZ59Vx44d9Yc//CHSpQEAAOA4tfUqcVKbzt4OamtrtW7dOt11113WmMPh0Pjx47V69eqQz6mpqVFNTY31s9vtliTt379fNaqQJJkyJIehcpWrprzC2taUoQpHhWrKD0oytd+7XzUVFTINQzIMGd7GMUnWuP+Yb9xtuK25bfNIMsyAeRwOKWBMMmQG1Fj/+EGZDkPymjL8a2zoSYE1NowfMA+oxt04T/XBg1ZPoXv1BvfaULuPNY/fuDVPQ0/2Xut78o37HDAPqPpgpdWTNXfFQaunUL36avcpV7mqKypt4/ZevU3uD39uw61q98HgXisrbbXb9kdAT2o4lqrLD1o9+dfYVK+BPZmG/Zi01VhRafXU1P7wn8f/mPSpcFQE9Wrtj2Yck1LjedNUr02dN/7HpL1Xe43++yPUMRl0/jkcIXo1bL0GHZNNnDdcI1p+jfAfO55rhP88XCOi9xoR2FNrrxGBPXGNSLxrxOMVH9ZvF3BshoNhtsWs7ai0tFQnnHCCVq1apcLCQmv8jjvu0Hvvvac1a9YEPee+++7T/fff355lAgAAIAy+/fZb5efnh3XOuLhloqXuuusuud1u67/t27dHuiQAAAAcw8cff6wePXqEfd6Yv2UiLy9PTqdTu3fvto3v3r1b3bp1C/mclJQUpaSktEd5AAAACJPu3bvL4Qj/em7MrxAnJydr5MiRWr58uTXm9Xq1fPly2y0UAAAAQCgxv0IsSXPmzNHUqVM1atQojR49WvPnz9ehQ4c0bdq0SJcGAACAKBcXgfiKK67Q3r17dc8992jXrl0aPny43nzzTXXt2rVZz09JSdGdd96p999/X5J0+umna+3atTrttNOsv5TX1NixHmee2J8nHnpgHuZhHuaJpd/NPMwTap5169YpKytLbSHmv2UCAAAAOB4xfw8xAAAAcDwIxAAAAEhoBGIAAAAkNAIxAAAAElpcfMtEa82YMUOLFy9WbW1tpEsBAABAmDz//PO6/vrrm719Qq8Qf/LJJ+rVq5c6deoU6VIAAABwHK688kr169dPkvT444/L6/U2+7kJHYiLioq0ZcsW3Xzzzcfc9sILL2yHikJLS0uTYRgR+/0AEO+4xgKxIykpSUlJwTc5nHHGGcrMzFRycrK+/PJLrVixotlzJnQgbokvvvgiYr+7qqpKfF00ALQdrrFA7Kirq1NdXV3Q+COPPKL169fLMAw5HA598MEHzZ6TQCxpx44dx9xm+/bt7VAJAAAAWsOX58444wx5PB7t3Lmz2c9N+ED87bff6o033jjmdkeOHGmHagAAAHA8Vq5cqUGDBsnhaH7MTfhAvG7dOu3ZsyfSZQAAAOA4ZWRkqEuXLvrmm2/Ut2/fZj8voQOxaZpaunSpunTp0uLnpqamWn9uyScQAAAAHB//7DV79mzrzy6XS4ZhqKqqSj/84Q+bPZ9hJvDfJLj++uu1aNEinXTSSfryyy8jXQ4AAABayOl0yuPxKDU1VbW1tfJ6vbrkkkv0yiuvNHuOhA7EfM0OAABA/OjQoYMuv/xy/d///V+Lcl5C/0t1CfxZAAAAAA24+RUAAAAJjUAMAACAhEYgBgAAQEIjEAMAACChEYgBAACQ0AjEAAAASGgEYgAAACQ0AjEAAAASGoEYAAAACY1ADAAAgIRGIAYAAEBCIxADQJzYu3evunXrpl//+tfW2KpVq5ScnKzly5dHsDIAiG6GaZpmpIsAAITH0qVLdfHFF2vVqlU6+eSTNXz4cF100UWaN29epEsDgKhFIAaAODNz5ky98847GjVqlDZs2KC1a9cqJSUl0mUBQNQiEANAnKmqqtLgwYP17bffat26dRoyZEikSwKAqMY9xAAQZ7Zu3arS0lJ5vV598803kS4HAKIeK8QAEEdqa2s1evRoDR8+XCeffLLmz5+vDRs2yOVyRbo0AIhaBGIAiCO33367/vrXv+rTTz9VRkaGzj77bGVnZ+v111+PdGkAELW4ZQIA4sS7776r+fPn609/+pOysrLkcDj0pz/9Sf/+97/1zDPPRLo8AIharBADAAAgobFCDAAAgIRGIAYAAEBCIxADAAAgoRGIAQAAkNAIxAAAAEhoBGIAAAAkNAIxAAAAEhqBGAAAAAmNQAwAAICERiAGAABAQiMQAwAAIKH9f95eVNhbaYF/AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.countplot(x='x', data=dist, color='aquamarine')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Count Plot of x Values')\n",
    "plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "feece57f-0450-4896-9005-230396f30e1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Membuat plot pie chart\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.pie(fruit['amount'], labels=fruit['fruit'], autopct='%1.1f%%', startangle=140,)\n",
    "plt.title('Pie Chart of Fruit Distribution')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "55cc6967-6571-44a6-abcf-3fb9e6ae2212",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       x    y          z\n",
      "0      0    0  82.462113\n",
      "1      5    0  77.620873\n",
      "2     10    0  72.801099\n",
      "3     15    0  68.007353\n",
      "4     20    0  63.245553\n",
      "..   ...  ...        ...\n",
      "436   80  100  80.000000\n",
      "437   85  100  80.156098\n",
      "438   90  100  80.622577\n",
      "439   95  100  81.394103\n",
      "440  100  100  82.462113\n",
      "\n",
      "[441 rows x 3 columns]\n"
     ]
    }
   ],
   "source": [
    "print(contour)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "545b1fa6-5ec4-4eaa-9e67-a55cef0edef1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.tricontourf(contour['x'], contour['y'], contour['z'], cmap='cubehelix')\n",
    "plt.colorbar(label='z')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Contour Plot')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "55c819d7-f0ae-4c02-b067-86fc7f86c154",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}