assignment7.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6909597f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# SLIDE 1 ( Meta data In Brief )\n",
    "\n",
    "# Metadata is defined as the information that describes and explains data. It provides context with \n",
    "# details such as the source, type, owner, and relationships to other data sets. So, it can help you \n",
    "# understand the relevance of a particular data set and guide you on how to use it. In a nutshell: \n",
    "# Metadata is a cornerstone of a modern enterprise data stack.\n",
    "# Metadata refers to data that provides information about other data. In simpler terms, it is data about data. \n",
    "# Metadata offers context and details about the characteristics, structure, and attributes of a dataset, \n",
    "# document, or information resource. It serves various purposes and is essential for effective data \n",
    "# management and understanding."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "39ae2daf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# SLIDE 2 ( Data Science and Python venv )\n",
    "\n",
    "# Data science is the study of data to extract meaningful insights for business. It is a multidisciplinary\n",
    "# approach that combines principles and practices from the fields of mathematics, statistics, artificial \n",
    "# intelligence, and computer engineering to analyze large amounts of data. This analysis helps data \n",
    "# scientists to ask and answer questions like what happened, why it happened, what will happen, and what \n",
    "# can be done with the results. Data science combines math and statistics, specialized programming, \n",
    "# advanced, artificial intelligence (AI), and machine learning with specific subject matter expertise to \n",
    "# uncover actionable insights hidden in an organization’s data. These insights can be used to guide \n",
    "# decision making and strategic planning."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cc9a7548",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SLIDE 3a ( Notebook on Gist )\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = np.linspace(0, 1, 10)\n",
    "y = np.linspace(0, 1, 10)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = np.sqrt(X**2 + Y**2)\n",
    "\n",
    "plt.figure(figsize=(4.8, 4.8))\n",
    "plt.contourf(X, Y, Z)\n",
    "plt.grid()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "02652947",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#fff\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 1\n",
    "x = [1,'Hello', True, 1.093E-3,'#fff']\n",
    "\n",
    "print(x[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e463d183",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "1\n",
      "4\n",
      "5\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 2\n",
    "x = [9, 3, 4, 1, 4, 5, 6, 3, 7, 8]\n",
    "\n",
    "for i in x[2:6]:\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3afba92b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "   2\n",
      "     3\n",
      "   4\n",
      "     5\n",
      "       6\n",
      "   7\n",
      "8\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 3\n",
    "x = [1, [2, [3], 4, [5, [6]], 7], 8]\n",
    "for i in x:\n",
    "    if isinstance(i, list):\n",
    "        for j in i:\n",
    "            if isinstance(j, list):\n",
    "                for k in j:\n",
    "                    if isinstance(k, list):\n",
    "                        for l in k:\n",
    "                            print('      ', l)\n",
    "                    else:\n",
    "                        print('    ', k)\n",
    "            else:\n",
    "                print('  ', j)\n",
    "    else:\n",
    "        print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1ce1a034",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 3, 4, 5]\n",
      "['a', 2, 'b', 'c']\n",
      "[1, 3, 4, 5, 'a', 2, 'b', 'c']\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 4\n",
    "x = [1, 2, 3, 4, 5]\n",
    "y = ['a', 'b', 'c']\n",
    "z = x.pop(1)\n",
    "y.insert(1,z)\n",
    "z = x + y\n",
    "\n",
    "print(x)\n",
    "print(y)\n",
    "print(z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ed58512b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 2000, 'i', 'o', 'u']\n",
      "['a', 'e', 'i', 'o', 'u']\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 5\n",
    "a = 'aeiou'\n",
    "b = tuple(a)\n",
    "c = list(b)\n",
    "d = c\n",
    "e = list(d)\n",
    "\n",
    "c[1] = 2000\n",
    "print(d)\n",
    "print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1e0131d9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 2, 3, 4, 5]\n",
      "[2, 4, 3, 1, 0, 5]\n",
      "[5, 4, 3, 2, 1, 0]\n",
      "[5, 4, 3, 2, 1, 0]\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 6\n",
    "#To get [0, 1, 2, 3, 4, 5]\n",
    "result1 = sorted([5, 0, 1, 3, 4, 2])\n",
    "print(result1)\n",
    "\n",
    "#To get [2, 4, 3, 1, 0, 5]\n",
    "result2 = [5, 0, 1, 3, 4, 2][::-1]\n",
    "print(result2)\n",
    "\n",
    "#To get [5, 4, 3, 2, 1, 0]\n",
    "result3 = sorted([5, 0, 1, 3, 4, 2], reverse=True)\n",
    "print(result3)\n",
    "\n",
    "#To get [5, 4, 3, 2, 1, 0] in two lines\n",
    "original_list = [5, 0, 1, 3, 4, 2]\n",
    "result4 = list(reversed(sorted(original_list)))\n",
    "print(result4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "db7592d5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count of 1: 4\n",
      "\n",
      "1st index of 1: 1\n",
      "2nd index of 1: 2\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 7\n",
    "x = [0, 1, 2, 3, 1, 4, 5, 6, 1, 9, 9, 1]\n",
    "print('count of 1:', x.count(1))\n",
    "print()\n",
    "\n",
    "c0 = x.index(1)\n",
    "print('1st index of 1:', c0)\n",
    "\n",
    "c1 = x[c0 + 1:].index(1)\n",
    "print('2nd index of 1:', c1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e7e27f08",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 2, 4]\n",
      "[1, 3, 5]\n",
      "[2, 4, 6, 2, 4, 6, 2, 4, 6]\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 8\n",
    "x = [i for i in range(0, 5, 2)]\n",
    "y = [i for i in range(1, 6, 2)]\n",
    "z = [1+j for i in x for j in y]\n",
    "\n",
    "print(x)\n",
    "print(y)\n",
    "print(z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "45ab8282",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "original\n",
      "[1, 5, 2, 4, 3] \n",
      "\n",
      "after modified bubble sort\n",
      "[5, 1, 2, 3, 4]\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 9\n",
    "x = [1, 5, 2, 4, 3]\n",
    "\n",
    "print('original')\n",
    "print(x, '\\n')\n",
    "\n",
    "N = len(x)\n",
    "\n",
    "for i in range(N):\n",
    "    for j in range(1, N):\n",
    "        if x[i] < x[j]:\n",
    "            x[i], x[j] = x[j], x[i]\n",
    "\n",
    "print('after modified bubble sort')\n",
    "print(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5da4f275",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 1, 'b', 2, 'c', 3] \n",
      "\n",
      "['a', 'b', 'c'] \n",
      "\n",
      "[1, 2, 3]\n"
     ]
    }
   ],
   "source": [
    "# SLIDE 3b ( Python List )\n",
    "\n",
    "# Exercise 10\n",
    "def sep_odd_even_index(z):\n",
    "    N = len(z)\n",
    "    r = range(N)\n",
    "    x = [z[i] for i in r if i % 2 == 0]\n",
    "    y = [z[i] for i in r if i % 2 == 1]\n",
    "    return [x, y]\n",
    "\n",
    "mix = ['a', 1, 'b', 2, 'c', 3]\n",
    "x, y = sep_odd_even_index(mix)\n",
    "print(mix, '\\n')\n",
    "print(x, '\\n')\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "75949f6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SLIDE 4a ( Plot 1-, 2-, 3-d dataLine, scatter, contour plots in Matplotlib )\n",
    "\n",
    "# Plot 1-, 2-, 3-d dataLine\n",
    "y1 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
    "y2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y3 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
    "y4 = [8, 7, 6, 5, 4]\n",
    "\n",
    "plt.figure(figsize=(8.4, 4.8))\n",
    "\n",
    "plt.plot(y1, '-', color='tab:red', label='y1')\n",
    "plt.plot(y2, ':', color='tab:green', label='y2')\n",
    "plt.plot(y3, '--', color='tab:blue', label='y3')\n",
    "plt.plot(y4, '-.', color='tab:pink', label='y4')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "41fb5be4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SLIDE 4a ( Plot 1-, 2-, 3-d dataLine, scatter, contour plots in Matplotlib )\n",
    "\n",
    "# Scatter\n",
    "x1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y1 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
    "\n",
    "x2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "\n",
    "x3 = [3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y3 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
    "\n",
    "x4 = [3, 4, 5, 6, 7]\n",
    "y4 = [8, 7, 6, 5, 4]\n",
    "\n",
    "plt.figure(figsize=(8.4, 4.8))\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.scatter(x1, y1,marker='o', color='tab:green', label='y1')\n",
    "plt.scatter(x2, y2, marker='^', color='tab:green', label='y2')\n",
    "plt.scatter(x3, y3, marker='s', color='tab:blue', label='y3')\n",
    "plt.scatter(x4, y4, marker='*', color='tab:pink', label='y4')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "x1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y1 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
    "\n",
    "x2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "\n",
    "x3 = [3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y3 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
    "\n",
    "x4 = [3, 4, 5, 6, 7]\n",
    "y4 = [8, 7, 6, 5, 4]\n",
    "\n",
    "plt.figure(figsize=(8.4, 4.8))\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(x1, y1, 'o-', color='tab:red', label='y1')\n",
    "plt.plot(x2, y2, '^', color='tab:green', label='y2')\n",
    "plt.plot(x3, y3, 's:', color='tab:blue', label='y3')\n",
    "plt.plot(x4, y4, '*-.', color='tab:pink', label='y4')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "y = [99, 96, 91, 84, 75, 64, 51, 64, 75, 84]\n",
    "s = [50*(1+i) for i in range(10)]\n",
    "\n",
    "c = []\n",
    "for i in range(10):\n",
    "    r = 0.1 * i\n",
    "    g = 0.5\n",
    "    b = 1 - 0.1 * i\n",
    "    c.append([r, g, b])\n",
    "\n",
    "plt.figure(figsize=(8.4, 4.8))\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "\n",
    "plt.scatter(x, y, s, c)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "feb5d31e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SLIDE 4a ( Plot 1-, 2-, 3-d dataLine, scatter, contour plots in Matplotlib )\n",
    "\n",
    "# Countour\n",
    "x = np.linspace(0, 20, 20)\n",
    "y = np.linspace(0, 10, 20)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = np.sqrt((X - 5)**2 + (Y - 4)**2)\n",
    "\n",
    "plt.figure(figsize=(8.4, 4.8))\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contour(X, Y, Z).clabel()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "X2 = X[4:12,2:9]\n",
    "Y2 = Y[4:12,2:9]\n",
    "Z2 = Z[4:12,2:9]\n",
    "\n",
    "plt.figure(figsize=(4.8, 4.8))\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contour(X2, Y2, Z2).clabel()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "X2 = X[4:13,2:8]\n",
    "Y2 = Y[4:13,2:8]\n",
    "Z2 = Z[4:13,2:8]\n",
    "\n",
    "plt.figure(figsize=(4.8, 4.8))\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contour(X2, Y2, Z2).clabel()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "345d39fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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06JznRyIRBQKB+BYKhZweCcBPVFNb4/UIaIRapbZqNL+3Gst1eM3xj11qa2vVu3dvzZo1S5LUq1cv7dq1S8XFxRozZsxZ54fDYRUVFcX3o9EoAQJ4xN/Er8jbEVUcrfB6lAvSp2MfjR8w3usx8P+1sFo0it9bWRlZCueHvR6jUXA8Ptq2batrr722zrGuXbvqjTfeOOf5lmXJsiynxwBQTxVHK1R+uNzrMS5IKJ2/wDREjeH3Fpzh+Mcu/fr10+7du+sc27Nnj9q3b+/0UgAAIAk5Hh+PPfaYtmzZolmzZqm8vFxLlizR/PnzVVhY6PRSAAAgCTkeH3369FFJSYmWLl2qbt26acaMGZo7d67uvfdep5cCAABJyPFnPiTp1ltv1a233urGWwMAgCTHd7sAAACjiA8AAGAU8QEAAIwiPgAAgFHEBwAAMIr4AAAARhEfAADAKOIDAAAYRXwAAACjiA8AAGAU8QEAAIwiPgAAgFHEBwAAMIr4AAAARhEfAADAKOIDAAAYRXwAAACjiA8AAGCU4/Exffp0+Xy+OlubNm2cXgYAACSppm68aU5OjtavXx/f9/v9biwDAACSkCvx0bRpU+52AACAc3LlmY+9e/cqGAwqOztbo0eP1r59+9xYBgAAJCHH73zccMMNWrRoka655hodPnxYzz//vPr27atdu3YpIyPjrPNjsZhisVh8PxqNOj0SAABoQBy/85GXl6c77rhD3bt315AhQ/SXv/xFkrRw4cJznh+JRBQIBOJbKBRyeiQ0UK1SW6mmtsbrMRzRWK4DAExw5ZmP/5Samqru3btr796953w9HA6rqKgovh+NRgmQi0QLq4X8TfyKvB1RxdEKr8ept6yMLIXzw16PAQBJw/X4iMVi+uyzz3TTTTed83XLsmRZlttjoAGrOFqh8sPlXo8BADDE8Y9dHn/8cW3cuFH79+/XBx98oDvvvFPRaFQFBQVOLwUAAJKQ43c+/vWvf+nuu+/Wv//9b11xxRW68cYbtWXLFrVv397ppQAAQBJyPD6WLVvm9FsCAIBGhO92AQAARhEfAADAKOIDAAAYRXwAAACjiA8AAGAU8QEAAIwiPgAAgFHEBwAAMIr4AAAARhEfAADAKOIDAAAYRXwAAACjiA8AAGAU8QEAAIwiPgAAgFHEBwAAMIr4AAAARhEfAADAKOIDAAAY5Xp8RCIR+Xw+TZ482e2lAABAEnA1PkpLSzV//nz16NHDzWUAAEAScS0+Tp48qXvvvVevvPKKWrVq5dYyAAAgybgWH4WFhRo+fLiGDBnyg+fFYjFFo9E6GwAAaLyauvGmy5Yt07Zt21RaWvqj50YiEf3P//yPG2MARrRKbaWa2hr5m/i9HgUAkoLj8VFZWalJkyZp7dq1at68+Y+eHw6HVVRUFN+PRqMKhUJOjwW4poXVQv4mfkXejqjiaIXX49Rbn459NH7AeK/HAHARcDw+tm7dqiNHjuj666+PH6upqdGmTZs0b948xWIx+f3/9zdEy7JkWZbTYwDGVRytUPnhcq/HqLdQOtEPwAzH42Pw4MHauXNnnWPjxo1Tly5dNGXKlDrhAQAALj6Ox0daWpq6detW51hqaqoyMjLOOg4AAC4+/IRTAABglCv/2uW/bdiwwcQyAAAgCXDnAwAAGEV8AAAAo4gPAABgFPEBAACMIj4AAIBRxAcAADCK+AAAAEYRHwAAwCjiAwAAGEV8AAAAo4gPAABgFPEBAACMIj4AAIBRxAcAADCK+AAAAEYRHwAAwCjiAwAAGEV8AAAAoxyPj+LiYvXo0UMtW7ZUy5YtlZubq1WrVjm9DAAASFKOx0e7du00e/ZslZWVqaysTD//+c81YsQI7dq1y+mlAABAEmrq9Bvm5+fX2Z85c6aKi4u1ZcsW5eTkOL0cAABIMo7Hx3+qqanRn//8Z1VXVys3N/ec58RiMcVisfh+NBp1cyQAAOAxVx443blzp1q0aCHLsjRhwgSVlJTo2muvPee5kUhEgUAgvoVCITdGiquprXH1/QEAwA9z5c5H586dtWPHDh0/flxvvPGGCgoKtHHjxnMGSDgcVlFRUXw/Go26GiD+Jn5F3o6o4miFa2u4rU/HPho/YLzXYwAAUC+uxEezZs109dVXS5J69+6t0tJS/e53v9Mf//jHs861LEuWZbkxxnlVHK1Q+eFyo2s6KZTu7t0hAADcZOTnfNi2Xee5DgAAcPFy/M7Hk08+qby8PIVCIZ04cULLli3Thg0btHr1aqeXAgAAScjx+Dh8+LDuv/9+ffXVVwoEAurRo4dWr16toUOHOr0UAABIQo7Hx6uvvur0WwIAgEaE73YBAABGER8AAMAo4gMAABhFfAAAAKOIDwAAYBTxAQAAjCI+AACAUcQHAAAwivgAAABGER8AAMAo4gMAABhFfAAAAKOIDwAAYBTxAQAAjCI+AACAUcQHAAAwivgAAABGER8AAMAox+MjEomoT58+SktLU2Zmpm677Tbt3r3b6WUAAECScjw+Nm7cqMLCQm3ZskXr1q3TmTNnNGzYMFVXVzu9FAAASEJNnX7D1atX19lfsGCBMjMztXXrVg0YMMDp5QAAQJJx/ZmPqqoqSVJ6errbSwEAgCTg+J2P/2TbtoqKitS/f39169btnOfEYjHFYrH4fjQadXMkAADgMVfvfDzyyCP6+OOPtXTp0vOeE4lEFAgE4lsoFHJzJAAA6qVVaivV1NZ4PYYjvL4O1+58TJw4UStXrtSmTZvUrl27854XDodVVFQU349GowQIAKDBaWG1kL+JX5G3I6o4WuH1OPWWlZGlcH7Y0xkcjw/btjVx4kSVlJRow4YNys7O/sHzLcuSZVlOjwEAgCsqjlao/HC512MkNcfjo7CwUEuWLNFbb72ltLQ0HTp0SJIUCASUkpLi9HIAACDJOP7MR3FxsaqqqjRw4EC1bds2vi1fvtzppQAAQBJy5WMXAACA8+G7XQAAgFHEBwAAMIr4AAAARhEfAADAKOIDAAAYRXwAAACjiA8AAGAU8QEAAIwiPgAAgFHEBwAAMIr4AAAARhEfAADAKOIDAAAYRXwAAACjiA8AAGAU8QEAAIwiPgAAgFHEBwAAMIr4AAAARjkeH5s2bVJ+fr6CwaB8Pp9WrFjh9BIAACCJOR4f1dXV6tmzp+bNm+f0WwMAgEagqdNvmJeXp7y8PKffFgAANBKOx0eiYrGYYrFYfD8ajXo4DQAAcJvnD5xGIhEFAoH4FgqFvB4JAAC4yPP4CIfDqqqqim+VlZVejwQAAFzk+cculmXJsiyvxwAAAIZ4fucDAABcXBy/83Hy5EmVl5fH9/fv368dO3YoPT1dWVlZTi8HAACSjOPxUVZWpkGDBsX3i4qKJEkFBQV67bXXnF4OAAAkGcfjY+DAgbJt2+m3BQAAjQTPfAAAAKOIDwAAYBTxAQAAjCI+AACAUcQHAAAwivgAAABGER8AAMAo4gMAABhFfAAAAKOIDwAAYBTxAQAAjCI+AACAUcQHAAAwivgAAABGER8AAMAo4gMAABhFfAAAAKOIDwAAYJRr8fHSSy8pOztbzZs31/XXX6+///3vbi0FAACSiCvxsXz5ck2ePFnTpk3T9u3bddNNNykvL08VFRVuLAcAAJKIK/ExZ84cPfDAA3rwwQfVtWtXzZ07V6FQSMXFxW4sBwAAkkhTp9/w9OnT2rp1q6ZOnVrn+LBhw/T++++fdX4sFlMsFovvV1VVSZKi0ajTo8VlpmTqdMvTrr2/2wKXBBSNRrmOBoLraHgay7VwHQ1LY7mOzJRMV/6M/f49bdv+8ZNthx04cMCWZP/jH/+oc3zmzJn2Nddcc9b5zz77rC2JjY2NjY2NrRFslZWVP9oKjt/5+J7P56uzb9v2WcckKRwOq6ioKL5fW1urr7/+WhkZGec8v6GLRqMKhUKqrKxUy5YtvR6n3riOhoXraHgay7VwHQ1LMl+Hbds6ceKEgsHgj57reHxcfvnl8vv9OnToUJ3jR44cUevWrc8637IsWZZV59hll13m9FjGtWzZMul+45wL19GwcB0NT2O5Fq6jYUnW6wgEAj/pPMcfOG3WrJmuv/56rVu3rs7xdevWqW/fvk4vBwAAkowrH7sUFRXp/vvvV+/evZWbm6v58+eroqJCEyZMcGM5AACQRFyJj7vuuktHjx7Vc889p6+++krdunXTX//6V7Vv396N5RoUy7L07LPPnvVRUrLhOhoWrqPhaSzXwnU0LI3lOn6Mz7Z/yr+JAQAAcAbf7QIAAIwiPgAAgFHEBwAAMIr4AAAARhEfDtm0aZPy8/MVDAbl8/m0YsUKr0eql0gkoj59+igtLU2ZmZm67bbbtHv3bq/HSlhxcbF69OgR/0E9ubm5WrVqlddjXbBIJCKfz6fJkyd7PUpCpk+fLp/PV2dr06aN12PVy4EDB3TfffcpIyNDl156qa677jpt3brV67ES0qFDh7P+9/D5fCosLPR6tIScOXNGTz31lLKzs5WSkqKOHTvqueeeU21trdejJezEiROaPHmy2rdvr5SUFPXt21elpaVej+Ua1368+sWmurpaPXv21Lhx43THHXd4PU69bdy4UYWFherTp4/OnDmjadOmadiwYfr000+Vmprq9Xg/Wbt27TR79mxdffXVkqSFCxdqxIgR2r59u3Jycjyern5KS0s1f/589ejRw+tR6iUnJ0fr16+P7/v9fg+nqZ9jx46pX79+GjRokFatWqXMzEx9/vnnSfdTmUtLS1VTUxPf/+STTzR06FCNHDnSw6kS98ILL+jll1/WwoULlZOTo7KyMo0bN06BQECTJk3yeryEPPjgg/rkk0/0+uuvKxgMavHixRoyZIg+/fRTXXnllV6P5zxHvk0OdUiyS0pKvB7DEUeOHLEl2Rs3bvR6lAvWqlUr+09/+pPXY9TLiRMn7E6dOtnr1q2zb775ZnvSpElej5SQZ5991u7Zs6fXY1ywKVOm2P379/d6DMdNmjTJvuqqq+za2lqvR0nI8OHD7fHjx9c5dvvtt9v33XefRxPVz6lTp2y/32+/8847dY737NnTnjZtmkdTuYuPXfCDqqqqJEnp6ekeT1J/NTU1WrZsmaqrq5Wbm+v1OPVSWFio4cOHa8iQIV6PUm979+5VMBhUdna2Ro8erX379nk9UsJWrlyp3r17a+TIkcrMzFSvXr30yiuveD3WBTl9+rQWL16s8ePHJ92Xefbv31/vvvuu9uzZI0n66KOPtHnzZt1yyy0eT5aYM2fOqKamRs2bN69zPCUlRZs3b/ZoKnfxsQvOy7ZtFRUVqX///urWrZvX4yRs586dys3N1bfffqsWLVqopKRE1157rddjJWzZsmXatm1bUn/+e8MNN2jRokW65pprdPjwYT3//PPq27evdu3apYyMDK/H+8n27dun4uJiFRUV6cknn9SHH36oRx99VJZlacyYMV6PVy8rVqzQ8ePHNXbsWK9HSdiUKVNUVVWlLl26yO/3q6amRjNnztTdd9/t9WgJSUtLU25urmbMmKGuXbuqdevWWrp0qT744AN16tTJ6/Hc4fWtl8ZIjeRjl4cffthu3769XVlZ6fUo9RKLxey9e/fapaWl9tSpU+3LL7/c3rVrl9djJaSiosLOzMy0d+zYET+WjB+7/LeTJ0/arVu3tn/72996PUpCLrnkEjs3N7fOsYkTJ9o33nijRxNduGHDhtm33nqr12PUy9KlS+127drZS5cutT/++GN70aJFdnp6uv3aa695PVrCysvL7QEDBtiSbL/fb/fp08e+99577a5du3o9miuIDxc0hvh45JFH7Hbt2tn79u3zehTHDB482P7Vr37l9RgJKSkpif+f0febJNvn89l+v98+c+aM1yPW25AhQ+wJEyZ4PUZCsrKy7AceeKDOsZdeeskOBoMeTXRhvvjiC7tJkyb2ihUrvB6lXtq1a2fPmzevzrEZM2bYnTt39miiC3fy5En74MGDtm3b9qhRo+xbbrnF44ncwccuqMO2bU2cOFElJSXasGGDsrOzvR7JMbZtKxaLeT1GQgYPHqydO3fWOTZu3Dh16dJFU6ZMScp/MSJJsVhMn332mW666SavR0lIv379zvqn53v27EnaL81csGCBMjMzNXz4cK9HqZdTp06pSZO6jy76/f6k/Ke230tNTVVqaqqOHTumNWvW6MUXX/R6JFcQHw45efKkysvL4/v79+/Xjh07lJ6erqysLA8nS0xhYaGWLFmit956S2lpaTp06JAkKRAIKCUlxePpfronn3xSeXl5CoVCOnHihJYtW6YNGzZo9erVXo+WkLS0tLOet0lNTVVGRkZSPYfz+OOPKz8/X1lZWTpy5Iief/55RaNRFRQUeD1aQh577DH17dtXs2bN0qhRo/Thhx9q/vz5mj9/vtejJay2tlYLFixQQUGBmjZNzj8K8vPzNXPmTGVlZSknJ0fbt2/XnDlzNH78eK9HS9iaNWtk27Y6d+6s8vJyPfHEE+rcubPGjRvn9Wju8PjOS6Px3nvv2ZLO2goKCrweLSHnugZJ9oIFC7weLSHjx4+327dvbzdr1sy+4oor7MGDB9tr1671eixHJOMzH3fddZfdtm1b+5JLLrGDwaB9++23J93zN997++237W7dutmWZdldunSx58+f7/VI9bJmzRpbkr17926vR6m3aDRqT5o0yc7KyrKbN29ud+zY0Z42bZodi8W8Hi1hy5cvtzt27Gg3a9bMbtOmjV1YWGgfP37c67Fc47Nt2/YmewAAwMWIn/MBAACMIj4AAIBRxAcAADCK+AAAAEYRHwAAwCjiAwAAGEV8AAAAo4gPAABgFPEBAACMIj4AAIBRxAcAADCK+AAAAEb9P+iwM8zSrwEIAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SLIDE 4b ( Plot with MatplotlibLine plot, various plots, contour plot )\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(x1, y1, label='dataset 1')\n",
    "plt.plot(x2, y2, label='dataset 2')\n",
    "plt.plot(x3, y3, label='dataset 3')\n",
    "plt.legend()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "plt.plot(x1, y1, 'r', label='red')\n",
    "plt.plot(x2, y2, 'g', label='green')\n",
    "plt.plot(x3, y3, 'b', label='blue')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Scatter plot\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.plot(x1, y1, 'sr:', label='A')\n",
    "plt.legend()\n",
    "plt.ylabel('y')\n",
    "plt.title('quadratic')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(x2, y2, '-.g^', label='B')\n",
    "plt.legend()\n",
    "plt.title('linier')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "plt.plot(x3, y3, 'o-b', label='C')\n",
    "plt.legend()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "plt.plot(x1, y1, 'sr:')\n",
    "plt.plot(x2, y2, '-.g^')\n",
    "plt.plot(x3, y3, 'o-b')\n",
    "plt.xlabel('x')\n",
    "plt.xticks([0, 3, 4, 6, 8, 9, 10])\n",
    "plt.text(5, 30, \"area\")\n",
    "\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Bar plot\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = [0, 1, 2, 3, 4, 5]\n",
    "y = [1, 1, 5, 10, 17, 26]\n",
    "\n",
    "plt.scatter(x, y)\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "\n",
    "plt.grid()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fruit = ['apple', 'orange', 'kiwi', 'manggo', 'tomato']\n",
    "amount = [10, 15, 5, 25, 20]\n",
    "colors = ['red', 'blue', 'yellow', 'green', 'magenta']\n",
    "\n",
    "plt.bar(fruit, amount, color=colors)\n",
    "\n",
    "plt.xlabel('Fruits')\n",
    "plt.ylabel('Amount')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "# Histogram plot\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = [\n",
    "    2, 2, 2, 2, 7, 7, 7, 7,\n",
    "    7, 7, 7, 7, 2, 2, 2, 2,\n",
    "    3, 3, 3, 3, 3,\n",
    "    5, 5, 5, 5, 5, 5,\n",
    "    1, 1, 9, 9, 1,\n",
    "    4, 4, 4, 4,\n",
    "    6, 6, 6, 6, 6, 6, 6,\n",
    "    8, 8, 8, 8, 8, 8,\n",
    "    6, 6, 6, 6, 6,\n",
    "]\n",
    "\n",
    "bins = np.linspace(0.5, 9.5, 10)\n",
    "plt.hist(x, bins=bins, color='#484', ec='white')\n",
    "\n",
    "plt.xticks(range(1, 10))\n",
    "plt.yticks(range(0, 13))\n",
    "\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Pie chart\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fruits = ['apple', 'orange', 'kiwi', 'manggo', 'tomato']\n",
    "amount = [1, 2, 3, 2, 2]\n",
    "colors = ['red', 'blue', 'yellow', 'green', 'magenta']\n",
    "\n",
    "plt.pie(amount, labels=fruits, colors=colors)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "1748df49",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Slide 5a ( cmd, venv, jupyternotebook Launch, new, open, close, shut down ) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "dce5c7b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vv14JCQk6ceKE0tPT9cc//lFdunRxPf633367VqxYoUmTJikrK0uDBw9WRUWF/vWvf6lLly667bbb6vT4d+/eXWvXrtWSJUvUu3dvNWnSxBXi27dvr7feekvXXXedWrZsqejoaHXo0EF//OMfde2116p///66//771aFDBx0/flzffPON3nnnnTqNr60vDz30kFatWqUbbrhBTzzxhNq3b68NGzZo8eLFuv/++9WxY0dJqna/JKmiokKffPKJ7rrrLp/vAxBU/PVJOwCBq/JqD95+srOzq1ztobi42EyaNMn06NHDNG/e3ERERJhOnTqZuXPnmpMnTxpjjNm3b5+5/fbbzSWXXGIiIiJMVFSUueqqq8zKlSvdtv/OO++YK664woSHh5v4+Hjz29/+1rz//vtVrl4wYcIE06FDB7d1T506ZWbOnGnat29v7Ha7iYuLM/fff7/56aef3JYrKSkxM2bMMAkJCSYiIsIMHDjQZGZmevwkfp8+fcyFF15oHA6Hufjii81DDz1kfvjhh1r1cv/+/Wby5Mnm0ksvNQ6Hw0RERJjLL7/cTJ8+3WRnZ7vti6erPUyZMsXj/X755Zfm1ltvNa1atTJhYWGmXbt2ZuLEiaa4uNgY4/lqD8YY8/nnn5tf//rXJiYmxtjtdhMbG2uGDBlili5dWuO+LF++3ISEhJjDhw+75pWUlJhnn33WjBgxwrRr1844HA4THh5uunTpYmbMmGGOHTvmdh+nTp0yjz/+uLnssstMWFiYadWqlRkyZIjZtm2ba5naPv4//vij+dWvfmVatGhhbDabOfMl7e9//7vp1auXcTgcRpLbY5qdnW1+85vfmPj4eGO3281FF11k+vXrZ5588knXMpX9+9vf/lZjXypV93id6exjzBhjDh48aMaNG2datWpl7Ha76dSpk/m///f/VrkCR3X79eGHHxpJ5tNPP611zYAV2Yz5z8dwASDI3HLLLTp06JB27tzp71Isobi4WO3atdPDDz+smTNn+rscnGX8+PH69ttv9c9//tPfpQABjTG/AIJOTk6O3nzzTW3evFlJSUn+LscywsPDNW/ePNe31yFw7N+/X2vWrNH8+fP9XQoQ8BjzCyDovPrqq1q4cKGGDBlS5Ru50LDuvfde/fzzz/r222/VvXt3f5eD/8jJydGiRYt07bXX+rsUIOAx7AEAAACWwbAHAAAAWAbhFwAAAJZB+AUAAIBl8IG3GlRUVOjw4cNq1qxZnb/mEgAAAA3PGKPjx4+rTZs2Xr8+vRLhtwaHDx9WQkKCv8sAAABADQ4dOqS2bdtWuwzhtwaVXxN66NAhNW/evMG353Q6tWnTJiUnJ8tutzf49oIJvfGMvnhHbzyjL57RF+/ojWf0xTtf96awsFAJCQlev979TITfGlQOdWjevLnPwm9kZKSaN2/OL9JZ6I1n9MU7euMZffGMvnhHbzyjL975qze1GaLKB94AAABgGYRfAAAAWAbhFwAAAJbBmF8AAIB6YoxRWVmZysvL/V2KXzmdToWGhqq4uLheehESEqLQ0NB6uews4RcAAKAelJaWKi8vT0VFRf4uxe+MMYqNjdWhQ4fq7XsSIiMjFRcXp7CwsPO6H8IvAADAeaqoqFB2drZCQkLUpk0bhYWFWfrLsSoqKnTixAk1bdq0xi+dqIkxRqWlpTp69Kiys7N12WWXndd9En4BAADOU2lpqSoqKpSQkKDIyEh/l+N3FRUVKi0tVXh4+HmHX0mKiIiQ3W7XwYMHXfd7rvjAGwAAQD2pj6AHz+qrtzxCAAAAsAzCLwAAACyD8AsAAIBq2Ww2rV+/3u/3UR8IvwAAABaXn5+vBx54QBdffLEcDocSEhI0atQoffjhh5KkvLw8jRgxws9V1g+u9gAAAGBhBw4c0DXXXKMWLVpowYIF6tGjh5xOpz744ANNmTJF+/btU2xsbLX34XQ6ZbfbfVTx+QmaM7/PPPOMrrzySjVr1kwxMTG6+eablZWVVeN6W7ZsUe/evRUeHq6LL75YS5cu9UG1AAAAwWHy5Mmy2Wz65JNP9Ktf/UodO3ZU165dNX36dG3fvl2S+5CFAwcOyGaz6a9//asGDRqk8PBwvfHGG5KkV199VV27dlVERIQ6d+6sBx54wOt2c3NzNXbsWF144YVq1aqVbrrpJh04cKChdzd4wu+WLVs0ZcoUbd++XWlpaSorK1NycrJOnjzpdZ3s7GyNHDlS/fv3165duzRnzhw9+OCDSk1N9WHlAAAAgenHH3/Uxo0bNWXKFF1wwQVVbm/RooXXdWfOnKkHH3xQX331lYYNG6YlS5ZoypQpuvfee/X5559r9erVuvTSSz2uW1RUpMGDB6tp06baunWr/vGPf6hp06YaPny4SktL62v3PAqaYQ8bN250m16xYoViYmL06aefasCAAR7XWbp0qdq1a6eFCxdKkrp06aKdO3fq2Wef1ZgxYxq6ZAAAgDoprzD6685D+iK3QF3jo/TrPgkKadJw3xT3zTffyBijzp0713ndadOmafTo0a7pJ598Ug8//LD+z//5P6qoqFBsbKwGDRrkcd0333xTTZo00SuvvOL6JrwVK1aoRYsWSk9PV3Jy8jntT20ETfg9W0FBgSSpZcuWXpfJyMio0rxhw4Zp+fLlXsemlJSUqKSkxDVdWFgo6fRYFqfTWR+lV6tyG77YVrChN57RF+8aU29Kyyo09+0v9OXhQl3eprnm/bKrwkLP7Y939dGX+qwnUDSm46W+0RvPzuxLeXm5jDGqqKhQRUXFOd/nmh2H9McPv5azvEJpX30vY4xuuzKhvkquory8XJJctVenct8ql/vFL37h+v+RI0d0+PBhDR48WBUVFTLGeLzfyvV37typb775Rs2aNXPbRnFxsb7++mtdf/31HrdvjJHT6VRISIjbbXU5NoMy/BpjNH36dF177bXq1q2b1+Xy8/PVunVrt3mtW7dWWVmZfvjhB8XFxVVZ55lnntG8efOqzN+0aZNPv64wLS3NZ9sKNvTGM/riXWPpTf9wqf/FklSgv286dN73d759qe96AkVjOV4aAr3xLC0tTaGhoYqNjdWJEyfO68/2uw78oNKycsU1dyivsES7DvygkZ2i6rFad7GxsbLZbMrMzNSQIUOqXfbUqVMqLCzUiRMnXPPOPEkonR7OUDlPko4fP+7xPoqLi9WzZ08tW7asynZatWrldh+VSktLderUKW3dulVlZWVutxUVFdWwp/8VlOF36tSp2r17t/7xj3/UuGzlqfRKle9Ezp5fafbs2Zo+fbprurCwUAkJCUpOTlbz5s3Po+racTqdSktL09ChQ4PmU5O+Qm88oy/eNabe3LTon/r2hxMKDw1RcVm5Lo5uqremXnNO91UffanPegJFYzpe6hu98ezMvpSXl+vQoUNq2rSpwsPDz/k+e3WI1tb9Pyn/eKnCQkPUq0N0g+aP5s2bKzk5Wa+++qp++9vfVhn3+/PPP7vG/UZERKh58+Zq2rSpJOmCCy5w1da8eXN16NBB27dv1w033CBjjI4fP65mzZq5Za7K+7j66qu1fv16XXzxxbXev+LiYkVERGjAgAFVeuwpLHsTdOH3gQce0Ntvv62tW7eqbdu21S4bGxur/Px8t3lHjhxRaGioWrVq5XEdh8Mhh8NRZb7dbvfpL7yvtxdM6I1n9MW7c+1NaVmFZqbu1t7cAnWLj9L8MT389qf9Tm1aaN+RkyopqZDNZlOnNi3O+/E+n2OmIeo5V/X9OPG75B298cxut6tJkyay2Wxq0qSJmjQ59+Nv7JXtZLPZ3Mb8NmnAMb+StGTJEvXr1099+/bVE088oR49eqisrExpaWlasmSJvvrqK0ly7Vvl/p29rykpKZo0aZJat26tYcOGKT8/X59//rkefPBB1zKV64wfP17PPfecbrnlFj3xxBNq27atcnJytHbtWv32t7/1mPEqe+zpOKzLcRk04dcYowceeEDr1q1Tenq6EhMTa1wnKSlJ77zzjtu8TZs2qU+fPvzyAqjRzNTdeiszV8ZI+4+e/jPfC2N7+qWW+WN6SJJbwPOnQKonkB4n4HyFNLHp9qva+XSbiYmJ+uyzz/TUU0/p4YcfVl5eni666CL17t1bS5YsqfX9TJgwQcXFxXrhhRf0yCOPqFWrVvrVr37lcdnIyEht3bpVM2fO1OjRo3X8+HHFx8fruuuua/C/tAdN+J0yZYpWr16tt956S82aNXOd0Y2KilJERISk00MWcnNztWrVKknSpEmTtGjRIk2fPl333HOPMjIytHz5cv3lL3/x234ACB57cwtkjBRuD1Gxs1x7cwv8VktYaJOACnSBVE8gPU5AsIqLi9OiRYu0aNEij7dXDhuVpA4dOrhNn+m+++7Tfffdp4qKChUWFroF2bPXiY2N1WuvvVYP1ddN0Hw0d8mSJSooKNCgQYMUFxfn+lmzZo1rmby8POXk5LimExMT9d577yk9PV09e/bU73//e7344otc5gxArXSLj5LNJhU7y2WznZ5G4OFxAlAXQXPm19s7jDOtXLmyyryBAwfqs88+a4CKADR2gfSnfXjH4wSgLoIm/AKArwXSn/bhHY8TgLoImmEPAAAAwPnizC+AgBNIlxgDaovjFlLthmni3NRXbwm/AAIOl65CMOK4tbbKS6gWFRW5rkKF+lX5LW7ne7lawi+AgMOlqxCMOG6tLSQkRC1atNCRI0cknb6Orbdvk7WCiooKlZaWqri4+Ly+9EM6fca3qKhIR44cUYsWLRQSEnJe90f4BRBwusVHaf/RE1y6CkGF4xaxsbGS5ArAVmaM0alTpxQREVFvbwJatGjh6vH5IPwCCDhcugrBiOMWNptNcXFxiomJkdPp9Hc5fuV0OrV161YNGDCgXr5V1263n/cZ30qEXwABh0tXIRhx3KJSSEhIvQW1YBUSEqKysjKFh4fXS/itT3wMFQAAAJZB+AUAAIBlEH4BAABgGYz5BeCGC/UDwYvfX6BmhF8AbrhQPxC8+P0FasbbQQBuzrxQvzHiQv1AEOH3F6gZ4ReAm27xUbLZxIX6gSDE7y9QM4Y9AHDDhfqB4MXvL1Azwi8AN1yoHwhe/P4CNWPYAwAAACyD8AsAAADLIPwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADLIPwCAADAMrjOLxCASssqNDN1t9uF6sNCea8KIHDxvIVgQfgFAtDM1N16KzNXxkj7j56QJC5cDyCg8byFYMFbMiAA7c0tkDFSuD1ExpyeBoBAxvMWggXhFwhA3eKjZLNJxc5y2WynpwEgkPG8hWDBsAcgAM0f00OS3MbOAUAg43kLwYLwCwSgsNAmjJUDEFR43kKwYNgDAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMvg642BGpSWVWhm6m6376sPC+V9IwD4G8/POBeEX6AGM1N3663MXBkj7T96QpL4/noACAA8P+NcBNXbo61bt2rUqFFq06aNbDab1q9fX+3y6enpstlsVX727dvnm4LRKOzNLZAxUrg9RMacngYA+B/PzzgXQRV+T548qSuuuEKLFi2q03pZWVnKy8tz/Vx22WUNVCEao27xUbLZpGJnuWy209MAAP/j+RnnIqiGPYwYMUIjRoyo83oxMTFq0aJF/RcES5g/pockuY0pAwD4H8/POBdBFX7PVa9evVRcXKzLL79cv/vd7zR48GCvy5aUlKikpMQ1XVhYKElyOp1yOp0NXmvlNnyxrWDjr97YJC0Y3fW/M0y5nM5yn9ZQHY4Z7+iNZ/TFM/riXaD2xt/Pz4Hal0Dg697UZTs2Y4xpwFoajM1m07p163TzzTd7XSYrK0tbt25V7969VVJSotdff11Lly5Venq6BgwY4HGdlJQUzZs3r8r81atXKzIysr7KBwAAQD0pKirSuHHjVFBQoObNm1e7bKMOv56MGjVKNptNb7/9tsfbPZ35TUhI0A8//FBjM+uD0+lUWlqahg4dKrvd3uDbCyb0xjP64h298Yy+eEZfvKM3ntEX73zdm8LCQkVHR9cq/Fpi2MOZ+vbtqzfeeMPr7Q6HQw6Ho8p8u93u0wPb19sLJvTGM/riHb3xjL54Rl+8ozee0RfvfNWbumwjqK72UB927dqluLg4f5cBAAAAPwiqM78nTpzQN99845rOzs5WZmamWrZsqXbt2mn27NnKzc3VqlWrJEkLFy5Uhw4d1LVrV5WWluqNN95QamqqUlNT/bULAAAA8KOgCr87d+50u1LD9OnTJUkTJkzQypUrlZeXp5ycHNftpaWleuSRR5Sbm6uIiAh17dpVGzZs0MiRI31eOwAAAPwvqMLvoEGDVN3n81auXOk2PWPGDM2YMaOBqwIAAECwsNyYXwAAAFgX4RcAAACWQfgFAACAZRB+AQAAYBmEXwAAAFhGUF3tAThbaVmFZqbu1t7cAnWLj9L8MT0UFsp7OgBA/eB1pvEh/CKozUzdrbcyc2WMtP/oCUnSC2N7+rcoAECjwetM48NbFwS1vbkFMkYKt4fImNPTAADUF15nGh/CL4Jat/go2WxSsbNcNtvpaQAA6guvM40Pwx4Q1OaP6SFJbmOxAACoL7zOND6EXwS1sNAmjL0CADQYXmcaH4Y9AAAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALCMUH8XgMavtKxCM1N3a29ugbrFR2n+mB4KC+V9FwDA2nh99A/CLxrczNTdeiszV8ZI+4+ekCS9MLanf4sCAMDPeH30D95eoMHtzS2QMVK4PUTGnJ4GAMDqeH30D8IvGly3+CjZbFKxs1w22+lpAACsjtdH/2DYAxrc/DE9JMltTBMAAFbH66N/EH7R4MJCmzCGCQCAs/D66B8MewAAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWEZQhd+tW7dq1KhRatOmjWw2m9avX1/jOlu2bFHv3r0VHh6uiy++WEuXLm34QgEAABCQgir8njx5UldccYUWLVpUq+Wzs7M1cuRI9e/fX7t27dKcOXP04IMPKjU1tYErBQAAQCAK9XcBdTFixAiNGDGi1ssvXbpU7dq108KFCyVJXbp00c6dO/Xss89qzJgxDVQlAAAAAlVQhd+6ysjIUHJystu8YcOGafny5XI6nbLb7VXWKSkpUUlJiWu6sLBQkuR0OuV0Ohu24P9s58x/8V/0xjP64h298Yy+eEZfvKM3ntEX73zdm7psx2aMMQ1YS4Ox2Wxat26dbr75Zq/LdOzYURMnTtScOXNc87Zt26ZrrrlGhw8fVlxcXJV1UlJSNG/evCrzV69ercjIyHqpHQAAAPWnqKhI48aNU0FBgZo3b17tso36zK90OiSfqTLrnz2/0uzZszV9+nTXdGFhoRISEpScnFxjM+uD0+lUWlqahg4d6vHMtK+UllVo7ttf6MvDhbq8TXPN+2VXhYX6d4h4oPQm0NAX7+iNZ/TFM/riHb3xLJD6Emiv277uTeVf6mujUYff2NhY5efnu807cuSIQkND1apVK4/rOBwOORyOKvPtdrtPD2xfb+9sM9Zm6q3MPBkj7TtyUuVqohfG9vRbPWfyd28CFX3xjt54Rl88oy/e0RvPAqEvgfq67ave1GUbQXW1h7pKSkpSWlqa27xNmzapT58+fj9IA93e3AIZI4XbQ2TM6WkAABCYeN2uvaAKvydOnFBmZqYyMzMlnb6UWWZmpnJyciSdHrJw5513upafNGmSDh48qOnTp+urr77Sq6++quXLl+uRRx7xR/lBpVt8lGw2qdhZLpvt9DQAAAhMvG7XXlANe9i5c6cGDx7smq4cmzthwgStXLlSeXl5riAsSYmJiXrvvff00EMP6aWXXlKbNm304osvcpmzWpg/poek0+8cu8VHuaYBAEDg4XW79oIq/A4aNEjVXZxi5cqVVeYNHDhQn332WQNW1TiFhQbGWCEAAFAzXrdrL6iGPQAAAADng/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAywj1dwFoOKVlFZqZult7cwvULT5K88f0UFgo73cAAMB/WS0vEH4bsZmpu/VWZq6MkfYfPSFJemFsT/8WBQAAAorV8kLjjfXQ3twCGSOF20NkzOlpAACAM1ktLxB+G7Fu8VGy2aRiZ7lsttPTAAAAZ7JaXmDYQyM2f0wPSXIbwwMAAHAmq+UFwm8jFhbapFGP2QEAAOfPanmBYQ8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwjKALv4sXL1ZiYqLCw8PVu3dvffzxx16XTU9Pl81mq/Kzb98+H1YMAACAQBFU4XfNmjWaNm2aHn30Ue3atUv9+/fXiBEjlJOTU+16WVlZysvLc/1cdtllPqoYAAAAgSSowu/zzz+vu+66S3fffbe6dOmihQsXKiEhQUuWLKl2vZiYGMXGxrp+QkJCfFRx/Sstq9BDazI19PktemhNpkrLKvxdEgAAsIjGkENC/V1AbZWWlurTTz/VrFmz3OYnJydr27Zt1a7bq1cvFRcX6/LLL9fvfvc7DR482OuyJSUlKikpcU0XFhZKkpxOp5xO53nsQe1UbsPbtuas3aONew7LGOm7H48rRBV6ZnT3Bq8rENTUG6uiL97RG8/oi2f0xTt645kV+1LbHOLr3tRlOzZjjGnAWurN4cOHFR8fr3/+85/q16+fa/7TTz+t1157TVlZWVXWycrK0tatW9W7d2+VlJTo9ddf19KlS5Wenq4BAwZ43E5KSormzZtXZf7q1asVGRlZfzsEAACAelFUVKRx48apoKBAzZs3r3bZoDnzW8lms7lNG2OqzKvUqVMnderUyTWdlJSkQ4cO6dlnn/UafmfPnq3p06e7pgsLC5WQkKDk5OQam1kfnE6n0tLSNHToUNnt9qr1rd2jDf95x2WzSTd0b2OpM7/V9caq6It39MYz+uIZffGO3nhmxb7UNof4ujeVf6mvjaAJv9HR0QoJCVF+fr7b/CNHjqh169a1vp++ffvqjTfe8Hq7w+GQw+GoMt9ut/v0wPa2vafH9FS5mmhvboG6xUfp6TE9ZA8NqqHb583Xj0WwoC/e0RvP6Itn9MU7euOZlfpS1xziq97UZRtBE37DwsLUu3dvpaWl6ZZbbnHNT0tL00033VTr+9m1a5fi4uIaokSfCAttohfG9vR3GQAAwIIaQw4JmvArSdOnT9f48ePVp08fJSUladmyZcrJydGkSZMknR6ykJubq1WrVkmSFi5cqA4dOqhr164qLS3VG2+8odTUVKWmpvpzNwAAAOAnQRV+x44dq2PHjumJJ55QXl6eunXrpvfee0/t27eXJOXl5bld87e0tFSPPPKIcnNzFRERoa5du2rDhg0aOXKkv3YBAAAAfhRU4VeSJk+erMmTJ3u8beXKlW7TM2bM0IwZM3xQFQAAAIKBtT4pBQAAAEsj/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsI9XcB8Gz22j36PPe4usVHaf6YHgoL5X0KAAAIXKVlFZqZult7cwt0RXwz9Q/3d0WeEX4D1IY9h1VcZtP+oyckSS+M7enfggAAAKoxM3W33srMlTHSdz8eV/8r/V2RZ5xODFDGSOH2EBkj7c0t8Hc5AAAA1dqbW+CWXwIV4TdA2WxSsbNcNpvULT7K3+UAAABUq1t8lFt+CVQMewhQN3Rv4zbmFwAAIJBV5pXKMb/SIf8W5AXhN0A9M7q77Ha7v8sAAAColbDQJq7PKDmdTr33XmCGX4Y9AAAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAso9bh97vvvmvIOmpt8eLFSkxMVHh4uHr37q2PP/642uW3bNmi3r17Kzw8XBdffLGWLl3qo0oBAAAQaGodfrt166bXX3+9IWup0Zo1azRt2jQ9+uij2rVrl/r3768RI0YoJyfH4/LZ2dkaOXKk+vfvr127dmnOnDl68MEHlZqa6uPKAQAAEAhqHX6ffvppTZkyRWPGjNGxY8casiavnn/+ed111126++671aVLFy1cuFAJCQlasmSJx+WXLl2qdu3aaeHCherSpYvuvvtu/eY3v9Gzzz7r48prp7SsQrPX7pEkzV67R6VlFX6uCAAAoG4CPc+E1nbByZMna8SIEbrrrrvUtWtXLVu2TL/85S8bsjY3paWl+vTTTzVr1iy3+cnJydq2bZvHdTIyMpScnOw2b9iwYVq+fLmcTqfsdnuVdUpKSlRSUuKaLiwslCQ5nU45nc7z3Y1qzVm7R3//Ilf9e0t//yJXkvTM6O4Nus1gUtn/hn4cgg198Y7eeEZfPKMv3tEbz+iLZ/7IM3V5DGzGGFPXDSxatEgPPfSQunTpotBQ9/z82Wef1fXuauXw4cOKj4/XP//5T/Xr1881/+mnn9Zrr72mrKysKut07NhREydO1Jw5c1zztm3bpmuuuUaHDx9WXFxclXVSUlI0b968KvNXr16tyMjIetobAAAA1JeioiKNGzdOBQUFat68ebXL1vrMb6WDBw8qNTVVLVu21E033VQl/DY0m83mNm2MqTKvpuU9za80e/ZsTZ8+3TVdWFiohIQEJScn19jM8zX7P++U5vWu0NxPm+j6rvGc+T2D0+lUWlqahg4d6vGsvVXRF+/ojWf0xTP64h298Yy+eOaPPFP5l/raqFNy/fOf/6yHH35Y119/vfbu3auLLrqozsWdq+joaIWEhCg/P99t/pEjR9S6dWuP68TGxnpcPjQ0VK1atfK4jsPhkMPhqDLfbrc3+IH99Jie//nfIV3fNV5Pj+kpeyhXozubLx6LYERfvKM3ntEXz+iLd/TGM/rizh95pi79r3Ulw4cP18yZM7Vo0SKtXbvWp8FXksLCwtS7d2+lpaW5zU9LS3MbBnGmpKSkKstv2rRJffr0CciDNCy0ieud0TOjuyuM4AsAAIJMoOeZWp/5LS8v1+7du9W2bduGrKda06dP1/jx49WnTx8lJSVp2bJlysnJ0aRJkySdHrKQm5urVatWSZImTZqkRYsWafr06brnnnuUkZGh5cuX6y9/+Yvf9gEAAAD+U+vwe/YZVH8YO3asjh07pieeeEJ5eXnq1q2b3nvvPbVv316SlJeX53bN38TERL333nt66KGH9NJLL6lNmzZ68cUXNWbMGH/tAgAAAPzIt59WqweTJ0/W5MmTPd62cuXKKvMGDhzYYFegAAAAQHAJrEEYAAAAQAMi/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsI9XcB8Gz22j36PPe4usVHaf6YHgoL5X0KAAAIXKVlFZqZult7cwt0RXwz9Q/3d0WeEX4D1IY9h1VcZtP+oyckSS+M7enfggAAAKoxM3W33srMlTHSdz8eV/8r/V2RZ5xODFDGSOH2EBkj7c0t8Hc5AAAA1dqbW+CWXwIV4TdA2WxSsbNcNpvULT7K3+UAAABUq1t8lFt+CVQMewhQN3Rv4zbmFwAAIJBV5pXKMb/SIf8W5AXhN0A9M7q77Ha7v8sAAAColbDQJq7PKDmdTr33XmCGX4Y9AAAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALAMwi8AAAAsg/ALAAAAyyD8AgAAwDIIvwAAALCMoAm/P/30k8aPH6+oqChFRUVp/Pjx+vnnn6tdZ+LEibLZbG4/ffv29U3BAAAACDih/i6gtsaNG6fvvvtOGzdulCTde++9Gj9+vN55551q1xs+fLhWrFjhmg4LC2vQOgEAABC4giL8fvXVV9q4caO2b9+uq6++WpL05z//WUlJScrKylKnTp28rutwOBQbG+urUhtcaVmFZqbu1t7cAnWLj9L8MT0UFho0J/ABAEAQaww5JCjCb0ZGhqKiolzBV5L69u2rqKgobdu2rdrwm56erpiYGLVo0UIDBw7UU089pZiYGK/Ll5SUqKSkxDVdWFgoSXI6nXI6nfWwN9Wr3Ia3bc1Zu0cb9xyWMdJ3Px5XiCr0zOjuDV5XIKipN1ZFX7yjN57RF8/oi3f0xjMr9qW2OcTXvanLdmzGGNOAtdSLp59+WitXrtS///1vt/kdO3bU//7f/1uzZ8/2uN6aNWvUtGlTtW/fXtnZ2XrsscdUVlamTz/9VA6Hw+M6KSkpmjdvXpX5q1evVmRk5PnvDAAAAOpVUVGRxo0bp4KCAjVv3rzaZf165tdb0DzTjh07JEk2m63KbcYYj/MrjR071vX/bt26qU+fPmrfvr02bNig0aNHe1xn9uzZmj59umu6sLBQCQkJSk5OrrGZ9cHpdCotLU1Dhw6V3W6vWt/aPdrwn3dcNpt0Q/c2ljrzW11vrIq+eEdvPKMvntEX7+iNZ1bsS21ziK97U/mX+trwa/idOnWqbrvttmqX6dChg3bv3q3vv/++ym1Hjx5V69ata729uLg4tW/fXl9//bXXZRwOh8ezwna73acHtrftPT2mp8rVxDXW5ukxPWQPsrE258vXj0WwoC/e0RvP6Itn9MU7euOZlfpS1xziq97UZRt+Db/R0dGKjo6ucbmkpCQVFBTok08+0VVXXSVJ+te//qWCggL169ev1ts7duyYDh06pLi4uHOu2d/CQpvohbE9/V0GAACwoMaQQ4LilGGXLl00fPhw3XPPPdq+fbu2b9+ue+65RzfeeKPbh906d+6sdevWSZJOnDihRx55RBkZGTpw4IDS09M1atQoRUdH65ZbbvHXrgAAAMCPgiL8StL//M//qHv37kpOTlZycrJ69Oih119/3W2ZrKwsFRQUSJJCQkK0Z88e3XTTTerYsaMmTJigjh07KiMjQ82aNfPHLgAAAMDPguJSZ5LUsmVLvfHGG9Uuc+aFKyIiIvTBBx80dFkAAAAIIkFz5hcAAAA4X4RfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlhPq7ADSc0rIKzUzdrb25BeoWH6X5Y3ooLJT3OwAA4L+slhcIv43YzNTdeiszV8ZI+4+ekCS9MLanf4sCAAABxWp5ofHGemhvboGMkcLtITLm9DQAAMCZrJYXCL+NWLf4KNlsUrGzXDbb6WkAAIAzWS0vMOyhEZs/pockuY3hAQAAOJPV8gLhtxELC23SqMfsAACA82e1vMCwBwAAAFgG4RcAAACWQfgFAACAZRB+AQAAYBmEXwAAAFgG4RcAAACWQfgFAACAZRB+AQAAYBmEXwAAAFgG4RcAAACWQfgFAACAZRB+AQAAYBmEXwAAAFgG4RcAAACWQfgFAACAZRB+AQAAYBmEXwAAAFgG4RcAAACWEervAhCYSssqNDN1t/bmFqhbfJTmj+mhsFDeKwEAEIh43a49wi88mpm6W29l5soYaf/RE5KkF8b29G9RAADAI163ay9o3hI89dRT6tevnyIjI9WiRYtarWOMUUpKitq0aaOIiAgNGjRIX3zxRcMW2kjszS2QMVK4PUTGnJ4GAACBidft2gua8FtaWqpbb71V999/f63XWbBggZ5//nktWrRIO3bsUGxsrIYOHarjx483YKWNQ7f4KNlsUrGzXDbb6WkAABCYeN2uvaAZ9jBv3jxJ0sqVK2u1vDFGCxcu1KOPPqrRo0dLkl577TW1bt1aq1ev1n333ddQpTYK88f0kCS3sUMAACAw8bpde0ETfusqOztb+fn5Sk5Ods1zOBwaOHCgtm3b5jX8lpSUqKSkxDVdWFgoSXI6nXI6nQ1b9H+2c+a//mKTtGB01//OMOVyOsv9Vo8UOL0JNPTFO3rjGX3xjL54R288C6S+BNrrtq97U5ftNNrwm5+fL0lq3bq12/zWrVvr4MGDXtd75plnXGeZz7Rp0yZFRkbWb5HVSEtL89m2gg298Yy+eEdvPKMvntEX7+iNZ/TFO1/1pqioqNbL+jX8pqSkeAyaZ9qxY4f69Olzztuw2Wxu08aYKvPONHv2bE2fPt01XVhYqISEBCUnJ6t58+bnXEdtOZ1OpaWlaejQobLb7Q2+vWBCbzyjL97RG8/oi2f0xTt64xl98c7Xvan8S31t+DX8Tp06Vbfddlu1y3To0OGc7js2NlbS6TPAcXFxrvlHjhypcjb4TA6HQw6Ho8p8u93u0wPb19sLJvTGM/riHb3xjL54Rl+8ozee0RfvfNWbumzDr+E3Ojpa0dHRDXLfiYmJio2NVVpamnr16iXp9BUjtmzZovnz5zfINgEAABDYguZSZzk5OcrMzFROTo7Ky8uVmZmpzMxMnThxwrVM586dtW7dOkmnhztMmzZNTz/9tNatW6e9e/dq4sSJioyM1Lhx4/y1GwAAAPCjoPnA2+OPP67XXnvNNV15Nnfz5s0aNGiQJCkrK0sFBf+9qPOMGTN06tQpTZ48WT/99JOuvvpqbdq0Sc2aNfNp7QAAAAgMQRN+V65cWeM1fo0xbtM2m00pKSlKSUlpuMIAAAAQNIJm2AMAAABwvgi/AAAAsAzCLwAAACyD8AsAAADLIPwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADLIPwCAADAMoLmG94QvErLKjQzdbf25haoW3yU5o/pobBQ3ncBAKyN10f/IPyiwc1M3a23MnNljLT/6AlJ0gtje/q3KAAA/IzXR//g7QUa3N7cAhkjhdtDZMzpaQAArI7XR/8g/KLBdYuPks0mFTvLZbOdngYAwOp4ffQPhj2gwc0f00OS3MY0AQBgdbw++gfhFw0uLLQJY5gAADgLr4/+wbAHAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlhPq7AOB8lJZVaGbqbu3NLVC3+CjNH9NDYaG8pwMA1A9eZxofwi+C2szU3XorM1fGSPuPnpAkvTC2p3+LAgA0GrzOND68dUFQ25tbIGOkcHuIjDk9DQBAfeF1pvEh/CKodYuPks0mFTvLZbOdngYAoL7wOtP4MOwBQW3+mB6S5DYWCwCA+sLrTOND+EVQCwttwtgrAECD4XWm8WHYAwAAACyD8AsAAADLIPwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADLCJrw+9RTT6lfv36KjIxUixYtarXOxIkTZbPZ3H769u3bsIUCAAAgYAVN+C0tLdWtt96q+++/v07rDR8+XHl5ea6f9957r4EqBAAAQKALmi+5mDdvniRp5cqVdVrP4XAoNja2ASoCAABAsAma8Huu0tPTFRMToxYtWmjgwIF66qmnFBMT43X5kpISlZSUuKYLCwslSU6nU06ns8HrrdyGL7YVbOiNZ/TFO3rjGX3xjL54R288oy/e+bo3ddmOzRhjGrCWerdy5UpNmzZNP//8c43LrlmzRk2bNlX79u2VnZ2txx57TGVlZfr000/lcDg8rpOSkuI6y3ym1atXKzIy8nzLBwAAQD0rKirSuHHjVFBQoObNm1e7rF/Dr7egeaYdO3aoT58+rum6hN+z5eXlqX379nrzzTc1evRoj8t4OvObkJCgH374ocZm1gen06m0tDQNHTpUdru9wbcXTOiNZ/TFO3rjGX3xjL54R288oy/e+bo3hYWFio6OrlX49euwh6lTp+q2226rdpkOHTrU2/bi4uLUvn17ff31116XcTgcHs8K2+12nx7Yvt5eMPF1b0rLKjQzdbf25haoW3yU5o/pobDQwPusKMeMd/TGM/riGX3xLtB6EyjPz4HWl0Diq97UZRt+Db/R0dGKjo722faOHTumQ4cOKS4uzmfbRPCbmbpbb2Xmyhhp/9ETkqQXxvb0b1EAAJ6fcU4C7/SVFzk5OcrMzFROTo7Ky8uVmZmpzMxMnThxwrVM586dtW7dOknSiRMn9MgjjygjI0MHDhxQenq6Ro0apejoaN1yyy3+2g0Eob25BTJGCreHyJjT0wAA/+P5GeciaK728Pjjj+u1115zTffq1UuStHnzZg0aNEiSlJWVpYKC0wd+SEiI9uzZo1WrVunnn39WXFycBg8erDVr1qhZs2Y+rx/Bq1t8lPYfPaFiZ7lsttPTAAD/4/kZ5yJowu/KlStrvMbvmZ/di4iI0AcffNDAVcEK5o/pIUluY8oAAP7H8zPORdCEX8BfwkKbMIYMAAIQz884F0Ez5hcAAAA4X4RfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGXzDGxCASssqNDN1t9tXdoaF8l4VQODieQvBgvALBKCZqbv1VmaujJH2Hz0hSXyFJ4CAxvMWggVvyYAAtDe3QMZI4fYQGXN6GgACGc9bCBaEXyAAdYuPks0mFTvLZbOdngaAQMbzFoIFwx6AADR/TA9Jchs7BwCBjOctBAvCLxCAwkKbMFYOQFDheQvBgmEPAAAAsAzCLwAAACyD8AsAAADLIPwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADL4Dq/ANyUllVoZuputwvVh4XyPhkIBvz+AjUj/AJwMzN1t97KzJUx0v6jJySJC9cDQYLfX6BmvB0E4GZvboGMkcLtITLm9DSA4MDvL1Azwi8AN93io2SzScXOctlsp6cBBAd+f4GaMewBgJv5Y3pIktuYQQDBgd9foGaEXwBuwkKbMEYQCFL8/gI1Y9gDAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDD7wBiDg8C1VCEYct0BwIPwCCDh8SxWCEcctEBx4Swog4PAtVQhGHLdAcCD8Agg4fEsVghHHLRAcGPYAIODwLVUIRhy3QHAg/AIIOHxLFYIRxy0QHAi/AOAFn94PDjxOAOqC8AsAXvDp/eDA4wSgLoLirfGBAwd01113KTExUREREbrkkks0d+5clZaWVrueMUYpKSlq06aNIiIiNGjQIH3xxRc+qhpAsOPT+8GBxwlAXQRF+N23b58qKir08ssv64svvtALL7ygpUuXas6cOdWut2DBAj3//PNatGiRduzYodjYWA0dOlTHjx/3UeUAghmf3g8OPE4A6iIohj0MHz5cw4cPd01ffPHFysrK0pIlS/Tss896XMcYo4ULF+rRRx/V6NGjJUmvvfaaWrdurdWrV+u+++7zSe0AglcgfXo/0Ma1BlI9gfQ4AQh8QRF+PSkoKFDLli293p6dna38/HwlJye75jkcDg0cOFDbtm3zGn5LSkpUUlLimi4sLJQkOZ1OOZ3Oeqreu8pt+GJbwYbeeEZfvDvf3tgkLRjd9b8zTLmczvJ6qKzu5qzdo417DssY6bsfjytEFXpmdPdzuq/6OGbqs57zVV+PE79L3tEbz+iLd77uTV22YzPGmAaspUHs379fv/jFL/Tcc8/p7rvv9rjMtm3bdM011yg3N1dt2rRxzb/33nt18OBBffDBBx7XS0lJ0bx586rMX716tSIjI+tnBwAAAFBvioqKNG7cOBUUFKh58+bVLuvXM7/eguaZduzYoT59+rimDx8+rOHDh+vWW2/1GnzPZLPZ3KaNMVXmnWn27NmaPn26a7qwsFAJCQlKTk6usZn1wel0Ki0tTUOHDpXdbm/w7QUTeuMZffGuMfVm9to92vCfM602m3RD9zbndeb3fPtSn/UEisZ0vNQ3euMZffHO172p/Et9bfg1/E6dOlW33XZbtct06NDB9f/Dhw9r8ODBSkpK0rJly6pdLzY2VpKUn5+vuLg41/wjR46odevWXtdzOBxyOBxV5tvtdp8e2L7eXjChN57RF+8aQ2+eHtNT5WriGtf69Jgesp/nGNvz6UtD1BMoGsPx0lDojWf0xTtf9aYu2/Br+I2OjlZ0dHStls3NzdXgwYPVu3dvrVixQk2aVP8km5iYqNjYWKWlpalXr16SpNLSUm3ZskXz588/79oBwJcC7dvDAq0eAKitoHibfvjwYQ0aNEgJCQl69tlndfToUeXn5ys/P99tuc6dO2vdunWSTg93mDZtmp5++mmtW7dOe/fu1cSJExUZGalx48b5YzcAAADgZ0FxtYdNmzbpm2++0TfffKO2bdu63Xbm5/WysrJUUPDfi5vPmDFDp06d0uTJk/XTTz/p6quv1qZNm9SsWTOf1Q4AAIDAERThd+LEiZo4cWKNy5194QqbzaaUlBSlpKQ0TGEAAAAIKkEx7AEAAACoD4RfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGYRfAAAAWAbhFwAAAJZB+AUAAIBlEH4BAABgGaH+LiDQGWMkSYWFhT7ZntPpVFFRkQoLC2W3232yzWBBbzyjL97RG8/oi2f0xTt64xl98c7XvanMaZW5rTqE3xocP35ckpSQkODnSgAAAFCd48ePKyoqqtplbKY2EdnCKioqdPjwYTVr1kw2m63Bt1dYWKiEhAQdOnRIzZs3b/DtBRN64xl98Y7eeEZfPKMv3tEbz+iLd77ujTFGx48fV5s2bdSkSfWjejnzW4MmTZqobdu2Pt9u8+bN+UXygt54Rl+8ozee0RfP6It39MYz+uKdL3tT0xnfSnzgDQAAAJZB+AUAAIBlEH4DjMPh0Ny5c+VwOPxdSsChN57RF+/ojWf0xTP64h298Yy+eBfIveEDbwAAALAMzvwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADLIPz62YEDB3TXXXcpMTFRERERuuSSSzR37lyVlpZWu54xRikpKWrTpo0iIiI0aNAgffHFFz6q2jeeeuop9evXT5GRkWrRokWt1pk4caJsNpvbT9++fRu2UD84l95Y4Zj56aefNH78eEVFRSkqKkrjx4/Xzz//XO06jfWYWbx4sRITExUeHq7evXvr448/rnb5LVu2qHfv3goPD9fFF1+spUuX+qhS36pLX9LT06scGzabTfv27fNhxQ1v69atGjVqlNq0aSObzab169fXuI5Vjpe69sYqx8wzzzyjK6+8Us2aNVNMTIxuvvlmZWVl1bheoBw3hF8/27dvnyoqKvTyyy/riy++0AsvvKClS5dqzpw51a63YMECPf/881q0aJF27Nih2NhYDR06VMePH/dR5Q2vtLRUt956q+6///46rTd8+HDl5eW5ft57770GqtB/zqU3Vjhmxo0bp8zMTG3cuFEbN25UZmamxo8fX+N6je2YWbNmjaZNm6ZHH31Uu3btUv/+/TVixAjl5OR4XD47O1sjR45U//79tWvXLs2ZM0cPPvigUlNTfVx5w6prXyplZWW5HR+XXXaZjyr2jZMnT+qKK67QokWLarW8VY4Xqe69qdTYj5ktW7ZoypQp2r59u9LS0lRWVqbk5GSdPHnS6zoBddwYBJwFCxaYxMREr7dXVFSY2NhY84c//ME1r7i42ERFRZmlS5f6okSfWrFihYmKiqrVshMmTDA33XRTg9YTSGrbGyscM19++aWRZLZv3+6al5GRYSSZffv2eV2vMR4zV111lZk0aZLbvM6dO5tZs2Z5XH7GjBmmc+fObvPuu+8+07dv3war0R/q2pfNmzcbSeann37yQXWBQZJZt25dtctY5Xg5W216Y8Vjxhhjjhw5YiSZLVu2eF0mkI4bzvwGoIKCArVs2dLr7dnZ2crPz1dycrJrnsPh0MCBA7Vt2zZflBjQ0tPTFRMTo44dO+qee+7RkSNH/F2S31nhmMnIyFBUVJSuvvpq17y+ffsqKiqqxn1sTMdMaWmpPv30U7fHWpKSk5O99iEjI6PK8sOGDdPOnTvldDobrFZfOpe+VOrVq5fi4uJ03XXXafPmzQ1ZZlCwwvFyvqx2zBQUFEhStdklkI4bwm+A2b9/v/70pz9p0qRJXpfJz8+XJLVu3dptfuvWrV23WdWIESP0P//zP/roo4/03HPPaceOHRoyZIhKSkr8XZpfWeGYyc/PV0xMTJX5MTEx1e5jYztmfvjhB5WXl9fpsc7Pz/e4fFlZmX744YcGq9WXzqUvcXFxWrZsmVJTU7V27Vp16tRJ1113nbZu3eqLkgOWFY6Xc2XFY8YYo+nTp+vaa69Vt27dvC4XSMcN4beBpKSkeBz0fubPzp073dY5fPiwhg8frltvvVV33313jduw2Wxu08aYKvMCzbn0pS7Gjh2rG264Qd26ddOoUaP0/vvv69///rc2bNhQj3vRMBq6N1LjP2Y87UtN+xjMx0x16vpYe1re0/xgV5e+dOrUSffcc49+8YtfKCkpSYsXL9YNN9ygZ5991helBjSrHC91ZcVjZurUqdq9e7f+8pe/1LhsoBw3oT7dmoVMnTpVt912W7XLdOjQwfX/w4cPa/DgwUpKStKyZcuqXS82NlbS6XdRcXFxrvlHjhyp8q4q0NS1L+crLi5O7du319dff11v99lQGrI3Vjhmdu/ere+//77KbUePHq3TPgbTMeNJdHS0QkJCqpzNrO6xjo2N9bh8aGioWrVq1WC1+tK59MWTvn376o033qjv8oKKFY6X+tSYj5kHHnhAb7/9trZu3aq2bdtWu2wgHTeE3wYSHR2t6OjoWi2bm5urwYMHq3fv3lqxYoWaNKn+hHxiYqJiY2OVlpamXr16STo9nm3Lli2aP3/+edfekOrSl/pw7NgxHTp0yC3wBaqG7I0VjpmkpCQVFBTok08+0VVXXSVJ+te//qWCggL169ev1tsLpmPGk7CwMPXu3VtpaWm65ZZbXPPT0tJ00003eVwnKSlJ77zzjtu8TZs2qU+fPrLb7Q1ar6+cS1882bVrV9AeG/XFCsdLfWqMx4wxRg888IDWrVun9PR0JSYm1rhOQB03Pv+IHdzk5uaaSy+91AwZMsR89913Ji8vz/Vzpk6dOpm1a9e6pv/whz+YqKgos3btWrNnzx5z++23m7i4OFNYWOjrXWgwBw8eNLt27TLz5s0zTZs2Nbt27TK7du0yx48fdy1zZl+OHz9uHn74YbNt2zaTnZ1tNm/ebJKSkkx8fHyj6osxde+NMdY4ZoYPH2569OhhMjIyTEZGhunevbu58cYb3ZaxwjHz5ptvGrvdbpYvX26+/PJLM23aNHPBBReYAwcOGGOMmTVrlhk/frxr+W+//dZERkaahx56yHz55Zdm+fLlxm63m//3//6fv3ahQdS1Ly+88IJZt26d+fe//2327t1rZs2aZSSZ1NRUf+1Cgzh+/LjrOUSSef75582uXbvMwYMHjTHWPV6MqXtvrHLM3H///SYqKsqkp6e75ZaioiLXMoF83BB+/WzFihVGksefM0kyK1ascE1XVFSYuXPnmtjYWONwOMyAAQPMnj17fFx9w5owYYLHvmzevNm1zJl9KSoqMsnJyeaiiy4ydrvdtGvXzkyYMMHk5OT4ZwcaUF17Y4w1jpljx46ZO+64wzRr1sw0a9bM3HHHHVUuOWSVY+all14y7du3N2FhYeYXv/iF2yWIJkyYYAYOHOi2fHp6uunVq5cJCwszHTp0MEuWLPFxxb5Rl77Mnz/fXHLJJSY8PNxceOGF5tprrzUbNmzwQ9UNq/LyXGf/TJgwwRhj7eOlrr2xyjHjLbec+ZoTyMeNzZj/jDYGAAAAGjmu9gAAAADLIPwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADLIPwCAADAMgi/AAAAsAzCLwAAACyD8AsAAADLIPwCgAWUl5erX79+GjNmjNv8goICJSQk6He/+52fKgMA3+LrjQHAIr7++mv17NlTy5Yt0x133CFJuvPOO/X5559rx44dCgsL83OFANDwCL8AYCEvvviiUlJStHfvXu3YsUO33nqrPvnkE/Xs2dPfpQGATxB+AcBCjDEaMmSIQkJCtGfPHj3wwAMMeQBgKYRfALCYffv2qUuXLurevbs+++wzhYaG+rskAPAZPvAGABbz6quvKjIyUtnZ2fruu+/8XQ4A+BRnfgHAQjIyMjRgwAC9//77WrBggcrLy/X3v/9dNpvN36UBgE9w5hcALOLUqVOaMGGC7rvvPl1//fV65ZVXtGPHDr388sv+Lg0AfIbwCwAWMWvWLFVUVGj+/PmSpHbt2um5557Tb3/7Wx04cMC/xQGAjzDsAQAsYMuWLbruuuuUnp6ua6+91u22YcOGqaysjOEPACyB8AsAAADLYNgDAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAyCL8AAACwDMIvAAAALIPwCwAAAMsg/AIAAMAy/j/Zq2/5rLRnYwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Slide 5b ( intro to pandas DataFrame create, access, read/write from/to file )\n",
    "\n",
    "# Lissajous Circle\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "ljc = pd.read_excel(\"D:/Users/DELL/Downloads/lissajous_circle.xlsx\")\n",
    "plt.figure(figsize=(8, 6)) \n",
    "\n",
    "plt.scatter(ljc[\"x\"], ljc[\"y\"], s=5, alpha=0.8, label=\"Circle\") \n",
    "\n",
    "plt.xlabel(\"X\")\n",
    "plt.ylabel(\"Y\")\n",
    "plt.title(\"Lissajous Circle (Scatter Plot)\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "848e4657",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Slide 5b ( intro to pandas DataFrame create, access, read/write from/to file )\n",
    "\n",
    "# Lissajous Butterfly\n",
    "ljb = pd.read_excel(\"D:/Users/DELL/Downloads/lissajous_butterfly.xlsx\")\n",
    "plt.figure(figsize=(8, 6)) \n",
    "\n",
    "plt.scatter(ljb[\"x\"], ljb[\"y\"], s=5, alpha=0.8, label=\"Circle\")\n",
    "plt.xlabel(\"X\")\n",
    "plt.ylabel(\"Y\")\n",
    "plt.title(\"Lissajous Butterfly (Scatter Plot)\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "37221507",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ffPKJ9bXFixdryZIlWrZsmbZu3aqsrCxNnjxZhw8ftraZO3eu1q5dqzVr1mjz5s06cuSIpk6dqsbGxki0AwAAgBjjjvgE3G7bqrCPaZpaunSp8vPzdfXVV0uSXnrpJfXu3VurV6/W7NmzVV1drRdeeEGrVq3SpEmTJEkvv/yy+vXrp40bN+qSSy7p1F4AAAAQeyIeiL/44gtlZ2crKSlJ48eP16JFizRw4EDt3r1bZWVlmjJlirVtUlKSLrzwQm3ZskWzZ8/Wtm3bVF9fb9smOztbw4cP15YtW0IG4rq6OtXV1Vmf19TUSJIaGhrU0NAgSXK5XHK5XPJ6vfJ6vda2vnpjY6NM0zxlPSEhQYZhWOP61yUFrGSHqrvdbpmmaasbhqGEhISAOYaq0xM90RM90RM90RM9xWpPzbcPp4gG4vHjx+sPf/iDBg8erAMHDmjhwoU677zztGPHDpWVlUmSevfubXtM7969VVJSIkkqKytTYmKievToEbCN7/HBPProo1qwYEFAvaioSKmpqZKkXr16KTc3V7t379bBgwetbfr27au+fftq586dqq6utuoDBw5UZmamiouLVVtba9WHDBmi008/XUVFRbYdPHLkSCUmJqqwsNA2h7Fjx8rj8Wj79u1WLSEhQePGjVN1dbU+++wzq56cnKxRo0apoqJCX375pVXv3r27hg4dqtLSUtv91PRET/RET/RET/RET7HaU1FRkTqKYfpH9gg7evSocnNzdd999+l73/uezj//fJWWlqpPnz7WNj/96U/19ddfa/369Vq9erVmzZplW+2VpMmTJys3N1fPPvts0O8TbIW4X79+OnTokNLS0iRF/lVQPL6yoyd6oqfO6WlB36YX/KbX1MLyhXHR06nmTk/0RE/x31NVVZV69uyp6upqK6+FS8RvmfCXmpqqESNG6IsvvtC0adMkNa0C+wfi8vJya9U4KytLHo9HVVVVtlXi8vJynXfeeSG/T1JSkpKSkgLqbrdbbrf9R+Lbmc35dk5L683HbUvdMIyg9VBzbG2dnugpVJ2eYqsnr8drq8dDTy2dIz3RU6g5trZOT7HRU7hE/F0m/NXV1enTTz9Vnz59lJOTo6ysLG3YsMH6usfj0aZNm6ywO2bMGHXp0sW2zf79+1VcXHzSQAwA8So/Pb9FNQDACRFdIb733nt1xRVXqH///iovL9fChQtVU1Ojm266SYZhaO7cuVq0aJEGDRqkQYMGadGiRUpJSdENN9wgqekel7y8PN1zzz3q2bOn0tPTde+992rEiBHWu04AAAAAJxPRQLx3715df/31qqioUK9evfS9731PH3zwgQYMGCBJuu+++1RbW6vbbrtNVVVVGj9+vN566y1169bNGuOpp56S2+3Wtddeq9raWk2cOFErV64MuTwPAE6Un56vRyofifQ0ACAqRdUv1UVKTU2Nunfv3iE3aQNAZ/AF3ua3R/jXCMQAYllH5rWouocYAAAA6GwEYgCIca35pTl+wQ4AAhGIASCGtSXgEooBwI5ADAAxqj3BllAMACcQiAEAAOBoBGIAcChWiQGgCYEYAGIMQRYAwotADAAAAEcjEANADOmI1WFWnAE4HYEYAGJERwZXQjEAJyMQA0AM6IzASigG4FQEYgAAADgagRgAYGGVGIATEYgBIIoRUAGg4xGIAQAA4GgEYgCIUpFcHWZlGoCTEIgBAEERigE4BYEYAKJMNAXRaJoLAHQUAjEAAAAcjUAMAFEkGldko3FOABBOBGIAiBIETwCIDAIxAAAAHI1ADABRIBZWh2NhjgDQFgRiAAAAOBqBGAAiKNZWXWNtvgDQEgRiAAAAOBqBGAAiJJZXW2N57gDQHIEYACKAQAkA0YNADABoE0I9gHhBIAaAThZPQTKeegHgXARiAAAAOBqBGAA6SbyupsZrXwCcg0AMAAAARyMQA0AncMIqqhN6BBCfCMQA0MEIigAQ3QjEAICwIfwDiEUEYgDoQE4MiE7sGUBsIxADAADA0QjEANABnL5K6vT+AcQWAjEAAAAcjUAMAGHG6ugJ/CwAxAICMQAAAByNQAwA6FCsEgOIdgRiAAgTgl9o/GwARDMCMQAAAByNQAwAYcAK6KnxMwIQrQjEANBOBD0AiG0EYgBoB8Jw6/EzAxBtCMQAAABwNAIxAKDTsUoMIJoQiAGgDQh0ABA/CMQAAABwNAIxALQSq8Phw88SQDQgEANAKxDgwo+fKYBIIxADQAsR3DoOP1sAkUQgBgAAgKMRiAEAUYFVYgCRQiAGgFMgqAFAfCMQAwAAwNEIxABwEqwOdz5+5gA6G4EYAEIgmEUOP3sAnYlADABBEMgij30AoLMQiAEAAOBoBGIAaIaVyejBvgDQGQjEAOCHAAYAzkMgBgAAgKMRiAHgOFaHoxf7BkBHIhADAADA0QjEAByP1cfYkJ+ez74C0CEIxAAAAHA0AjEAR2PFMfawzwCEG4EYgGMRrAAAEoEYAAAADkcgBuBIrA7HPvYhgHAhEAMAAMDRCMQAHIVVxfjC/gQQDgRiAAAAOFrUBOJHH31UhmFo7ty5Vs00TRUUFCg7O1vJycmaMGGCduzYYXtcXV2d7rzzTmVkZCg1NVVXXnml9u7d28mzBxALWE2MX+xbAO0RFYF469ateu655zRy5EhbffHixVqyZImWLVumrVu3KisrS5MnT9bhw4etbebOnau1a9dqzZo12rx5s44cOaKpU6eqsbGxs9sAEMUITACAUCIeiI8cOaIbb7xRzz//vHr06GHVTdPU0qVLlZ+fr6uvvlrDhw/XSy+9pGPHjmn16tWSpOrqar3wwgt68sknNWnSJI0ePVovv/yyPvnkE23cuDFSLQEAIoAXPQDayh3pCdx+++26/PLLNWnSJC1cuNCq7969W2VlZZoyZYpVS0pK0oUXXqgtW7Zo9uzZ2rZtm+rr623bZGdna/jw4dqyZYsuueSSoN+zrq5OdXV11uc1NTWSpIaGBjU0NEiSXC6XXC6XvF6vvF6vta2v3tjYKNM0T1lPSEiQYRjWuP51SQEr2aHqbrdbpmna6oZhKCEhIWCOoer0RE9O7Wlen3lyJTZ7/W9Iri4natZjXZLLfaJuek2ZDaa8Xq9tDLOxaV5GgiEjwbDqvv4Md9M8fY/xNnglb9P38R/HW9+0ffP5+fp2Jbrs43i8kiFbzVc3TdM+R69p68n3GF9PRoJ9jmajKbPxJL26DRmuE4/x9RTQa71XMoPMsd4+R2uc4z25upy612D7o6GhQYbbkNlg6sFeD6pgf4H1PSN97MXj+URP9BSpnppvH04RDcRr1qzRv/71L23dujXga2VlZZKk3r172+q9e/dWSUmJtU1iYqJtZdm3je/xwTz66KNasGBBQL2oqEipqamSpF69eik3N1e7d+/WwYMHrW369u2rvn37aufOnaqurrbqAwcOVGZmpoqLi1VbW2vVhwwZotNPP11FRUW2HTxy5EglJiaqsLDQNoexY8fK4/Fo+/btVi0hIUHjxo1TdXW1PvvsM6uenJysUaNGqaKiQl9++aVV7969u4YOHarS0lLb/dT0RE9O7Sl3Tq5V83qaLuIp/VN0xrQzrHpxcbEkKW1omnpPOnHdOVZyTPvW7VNpaaltnJodTS+kMy/KVNqwNKteWloqScqemq3CwkLrMQc2HlDNjhoVFxfbxtm3bp8kKScvxxYea2tr5Up0KXdOrm2cXct3yX2a21bzerzatXyXqqurbWN7Kj22nnyP8fWUPi7dNk7Njhod2HhAu3fvto1T+WGl1VPKgBTrMb6e+l/f3zbOvnX7dKzkmIqKimzjlKwqUWNjo1XzPcbX04AZA6yar6eU/im2sT2VHpWsKlFFRYVtnOyp2baefCJ97MXj+URP9BSpnoqKitRRDNM/sneir7/+WmPHjtVbb72lUaNGSZImTJigs88+W0uXLtWWLVt0/vnnq7S0VH369LEe99Of/lRff/211q9fr9WrV2vWrFm21V5Jmjx5snJzc/Xss88G/d7BVoj79eunQ4cOKS2t6Ykt0q+C4vGVHT3RU2f3ND9zvhYeWqh5febZ6r8u+7Xye+bbVogL9hVoXq95IVeIf13xa83Pnn+i3mhq4cGFerDXg7YV4gWlC/RQxkMy3IYKSgu0oG/Ti2/faurDBx9WwRkF1vbeeq8eOfSIHsp6yDbHh/c/rAd7PihXokvz984/Mc7xVdMFBxZYNV+9ea+m19TC8oXKz8iXy31iHP8V4oL9J+boWyEO2WvmgzJchjWO/wqxrdfjK8QLypvNsd6rhRUn5miN47dCfKpeg+2P+XvnqyC7wOrJSGiao8T5RE/0FE89VVVVqWfPnqqurrbyWrhEbIV427ZtKi8v15gxY6xaY2Oj/v73v2vZsmX6/PPPJTWtAvsH4vLycmvVOCsrSx6PR1VVVbZV4vLycp133nkhv3dSUpKSkpIC6m63W263/Ufi25nN+XZOS+vNx21L3TCMoPVQc2xtnZ7oKVQ9lnsyDMNaFbYxZatb38uroNu7XK6gdV+I9N9OkswGU263O+AxCQkJQcdpXjMMw6oHjGMq6Nghe/UGH8dsDD7HkL02mDIV+JhQvZ5qjravm63r1X+ObrdbZoNp9eTrq/n2nE/0RE/x11O4ROyX6iZOnKhPPvlEH330kfUxduxY3Xjjjfroo480cOBAZWVlacOGDdZjPB6PNm3aZIXdMWPGqEuXLrZt9u/fr+Li4pMGYgDxj1+wAscAgJaK2Apxt27dNHz4cFstNTVVPXv2tOpz587VokWLNGjQIA0aNEiLFi1SSkqKbrjhBklN97jk5eXpnnvuUc+ePZWenq57771XI0aM0KRJkzq9JwDRgSAEAGiNiL/LxMncd999qq2t1W233aaqqiqNHz9eb731lrp162Zt89RTT8ntduvaa69VbW2tJk6cqJUrV4ZcngcAOEd+er4eqXwk0tMAEOWiKhC/9957ts8Nw1BBQYEKCgpCPqZr1656+umn9fTTT3fs5ADEBFaH0RyhGMCpRPwPcwAAAACRRCAGEDdYHUYoHBsAToZADCAuEHgAAG1FIAYQ8wjDaCmOFQDBEIgBAADgaARiAICjsEoMoDkCMYCYRbBBW3HsAPBHIAYAAICjEYgBxCRW+NBeHEMAfAjEAGIOQQYAEE4EYgAxhTCMcOOYAkAgBgAAgKMRiAEAjscqMeBsBGIAMYHAAgDoKARiAAAAOBqBGEDUY3UYnYVjDXAmAjGAqEZAQWfjmAOch0AMIGoRTBApHHuAsxCIAQAA4GgEYgAAgmCVGHAOAjGAqEMQAQB0JgIxAAAAHI1ADCCqsDqMaMMxCcQ/AjGAqEHwAABEAoEYQFQgDCOa5afnc4wCcYxADAAAAEcjEAOIOFbeECs4VoH4RCAGEFEEDABApBGIAQAA4GgEYgARw+owYhXHLhBfCMQAAABwNAIxgE7H6hriAW/FBsQPAjEAAAAcjUAMoFOxooZ4wzENxD4CMYBOQ3AAAEQjAjEAAAAcjUAMoFOwOox4xzEOxC4CMQAAAByNQAygQ7FqBifheAdiE4EYAAAAjkYgBtBhWC2DU3HsA7GFQAygQxAIAACxgkAMAEAH4EUhEDsIxADCjiAANOFcAGIDgRgAAACORiAGAKADsUoMRD8CMYCw4YkfABCLCMQAwoIwDJwc5wgQvQjEANqNJ3oAQCwjEAMA0El48QhEJwIxgHbhCR5oHc4ZIPoQiAEAAOBoBGIAbcZKF9A2nDtAdCEQA2gTntABAPGCQAyg1QjDQHhwLgHRgUAMAAAARyMQAwAQQawSA5FHIAbQYjxxAx2DcwuILAIxAAAAHI1ADKBFWMECOhbnGBA5BGIAp8QTNQAgnhGIAZwUYRjoXJxzQOcjEAMAAMDRCMQAAEQZVomBzkUgBhAUT8gAAKcgEAMAAMDRCMQAArA6DEQHzkWgcxCIAdjwBAwAcBoCMQALYRiIPvnp+ZybQAcjEAMAAMDRCMQAAMQAVomBjkMgBsATLQDA0QjEAAAAcDQCMeBwrA4DsYVzFgg/AjHgYDyxAgBAIAYcizAMxC7eig0ILwIxAAAAHC2igXj58uUaOXKk0tLSlJaWpnPPPVd/+9vfrK+bpqmCggJlZ2crOTlZEyZM0I4dO2xj1NXV6c4771RGRoZSU1N15ZVXau/evZ3dChBTWFkC4gPnMhAeEQ3Effv21WOPPabCwkIVFhbq4osv1g9/+EMr9C5evFhLlizRsmXLtHXrVmVlZWny5Mk6fPiwNcbcuXO1du1arVmzRps3b9aRI0c0depUNTY2RqotIKrxBAoAgF1EA/EVV1yhyy67TIMHD9bgwYP1yCOP6LTTTtMHH3wg0zS1dOlS5efn6+qrr9bw4cP10ksv6dixY1q9erUkqbq6Wi+88IKefPJJTZo0SaNHj9bLL7+sTz75RBs3boxkawAAAIgR7khPwKexsVF//vOfdfToUZ177rnavXu3ysrKNGXKFGubpKQkXXjhhdqyZYtmz56tbdu2qb6+3rZNdna2hg8fri1btuiSSy4J+r3q6upUV1dnfV5TUyNJamhoUENDgyTJ5XLJ5XLJ6/XK6/Va2/rqjY2NMk3zlPWEhAQZhmGN61/39d2SutvtlmmatrphGEpISAiYY6g6PdHTgr4LJEOSKbkS7a+HTdOUDMnV5UTdeqxfvaGhQYbbkNlgSi7J5T6xvelt+v5GgiEjwbDqvj786w0NDTISDJmNpgy3IcPlt33D8e2b1X39+c+9oaEhZE9ej1emaQbUm/ck+e3LID2ZDaa8Xq9tHLPxFL26m372vsd4G7ySt+n7+I/jrfcG9NS8V9s4Hq9kyFYL1atvf/h68j3G15ORYJ+j2WjKbDxJr8f3h+8xvp4Ceq33SmaQOdbb52iNc7wnV5dT9xpsf/gfk779YfV6vKdQvfrvj4aGhqZlIm+QXo/3FLA/gvQa6rwJ1auvJ7ns4/iOyZDnjV+vC/ou0ILSBVz36Cmue2q+fTi1KRDv3r1bOTk5YZnAJ598onPPPVfffvutTjvtNK1du1ZnnXWWtmzZIknq3bu3bfvevXurpKREklRWVqbExET16NEjYJuysrKQ3/PRRx/VggULAupFRUVKTU2VJPXq1Uu5ubnavXu3Dh48aG3Tt29f9e3bVzt37lR1dbVVHzhwoDIzM1VcXKza2lqrPmTIEJ1++ukqKiqy7eCRI0cqMTFRhYWFtjmMHTtWHo9H27dvt2oJCQkaN26cqqur9dlnn1n15ORkjRo1ShUVFfryyy+tevfu3TV06FCVlpba7qemJ3rKnZOrklUlajjSoNw5ubaeGhsbldgjUQNmDLBqRUVFkqSU/ik6Y9oZkqTCwkL1v76/SlaVKG1omnpPOnGOHis5JklKH5eu9PHpVn337t2SpMyLMpU2LM0aJ31cug59cEjZU7OVMiDF2v7AxgOSpP7X91dieqJV9/Wdk5djhYbCwkIl9kgM2tOu5btUW1trq3s93oCeJKm4uFiSgva0b90+lZaW2sap2VET0JMklZaWSpKyp2arsLDQesyBjQdUs6NGxcXFtnH2rdsX0JMk1dbWypXoUu6cXNs4u5bvkvs0t63m9Xi1a/kuVVdX28b2VHpsPfke4+spfVy6bZyaHTU6sPGAdu/ebRun8sNKq6eUASnWY3w99b++v22cfev26VjJMRUVFdnGKVlVosbGRqvme4yvpwEzBlg1X08p/VNsY3sqPSpZVaKKigrbONlTs62e0sef6MvXU+ZFmbZxKj+s1KEPDmnnzp22cdKGplk9JaYnWo/x9ZSTl2Mbx3c++dcKCwvlSnRZPflqOXk5Vk9nTDvDeoyvp7ShabZxdu7cKcl+PhUWFirzokyrp7RhJx5TWlrKdY+e4ron33NSRzBM/8jeQgkJCbrggguUl5enH//4x+ratWubJ+DxeLRnzx598803+q//+i/9/ve/16ZNm/TNN9/o/PPPV2lpqfr06WNt/9Of/lRff/211q9fr9WrV2vWrFm21V5Jmjx5snJzc/Xss88G/Z7BVoj79eunQ4cOKS2t6Ykt0q+C4vGVHT1FrqcFfRdo/t75WtB3gW2ly9/D+x/WgxkP2lZN5++dr/mZ820rXfP3zldBdkHIFeKF5Qv1YK8HbaumC0oX6KGMh2wrXfP3zldBn4KQK8SPVDyiBzMftNUf3v+wHuz5oG3u8/fO1/ze80OuEC88tFDz+syz1X9d9mvl98y39Vqwr0Dzes0LuUL864pfa372/BP1RlMLD56kV7ehgtKCplV5nVghfvjgwyo4o+DEHOu9euTQI3oo66HA/XG8V9++8/UkQ1pwYIFVC9Wrb3/kZ+TL5T4xjv8KccH+E3P0rZqG7PX4/rCOJb8VYluvx4+xBeXN5ljv1cKKE3O0xvFbNT1Vr8H2h/8x6TvGrF79VoiD9eq/P+bvna/5WfNtK8TBzhvbHIP0Guq8CdWr/wrxgrIT4/iOyZDnTYheHz74MNc9eorLnqqqqtSzZ09VV1dbeS1c2rRC/PHHH+vFF1/UPffcozvuuEM/+clPlJeXp3POOafVYyUmJuo73/mOpKZXAFu3btVvfvMb3X///ZKaVoH9A3F5ebm1apyVlSWPx6OqqirbKnF5ebnOO++8kN8zKSlJSUlJAXW32y232/4j8e3M5nw7p6X15uO2pW4YRtB6qDm2tk5P8duT1+O1/uvj//++ecu0160+/Oput7vpyVuSvIHjSCfChn8vzetut9v6f7PBlKnA1+bN64ZhBMzd7XbLt0mwuRiGEbTevFfr5xeiJ5fL1bpeG8yAn7nv+wQbJ+j+OF4PGMdU0LFD9uoNPo7ZGHyOIXs9vj8CxgnR66nmaPu62bpe/efof0z69kdLe/XfH263W/JNJ0SvQefYrJdQ580pe/Xat/MdkyHPmxC9ct2jp1D1eOwpXNr0S3XDhw/XkiVLtG/fPq1YsUJlZWX6/ve/r2HDhmnJkiW2ZfTWMk1TdXV1ysnJUVZWljZs2GB9zePxaNOmTVbYHTNmjLp06WLbZv/+/SouLj5pIAachHeVAJyFcx5ovXa9y4Tb7dZVV12lP/3pT3r88ce1a9cu3Xvvverbt69mzpyp/fv3n/Txv/rVr/SPf/xDX331lT755BPl5+frvffe04033ijDMDR37lwtWrRIa9euVXFxsW6++WalpKTohhtukNR0j0teXp7uuecevf322yoqKtL06dM1YsQITZo0qT2tAXGBJ0YAAE6tXWvPhYWFevHFF7VmzRqlpqbq3nvvVV5enkpLSzVv3jz98Ic/1P/8z/+EfPyBAwc0Y8YM7d+/X927d9fIkSO1fv16TZ48WZJ03333qba2Vrfddpuqqqo0fvx4vfXWW+rWrZs1xlNPPSW3261rr71WtbW1mjhxolauXBlyeR4AAADw16ZAvGTJEq1YsUKff/65LrvsMv3hD3/QZZddZt1PkpOTo9/97ncaMmTIScd54YUXTvp1wzBUUFCggoKCkNt07dpVTz/9tJ5++ulW9wHEM1aHAWfLT8/XI5WPRHoaQExoUyBevny5brnlFs2aNUtZWVlBt+nfv/8pAy8AAAAQaW0KxF988cUpt0lMTNRNN93UluEBAEAYsEoMtEybfqluxYoV+vOf/xxQ//Of/6yXXnqp3ZMC0HbcKgEAQOu0KRA/9thjysjICKhnZmZq0aJF7Z4UgLYhDAMIhmsDcHJtCsQlJSVB/3TzgAEDtGfPnnZPCkDr8YQHAEDbtCkQZ2Zm2v5Gts/HH3+snj17tntSAAAgvHjRDITWpkB83XXX6T/+4z/07rvvqrGxUY2NjXrnnXf085//XNddd1245wjgFHiiA9ASXCuA4Nr0LhMLFy5USUmJJk6caP1daa/Xq5kzZ3IPMQAAAGJKmwJxYmKiXnnlFf3617/Wxx9/rOTkZI0YMUIDBgwI9/wAAEAY8VZsQKB2/enmwYMHa/DgweGaC4BW4okNAID2a1Mgbmxs1MqVK/X222+rvLxcXq/X9vV33nknLJMDEBr3AgJoD15QAye0KRD//Oc/18qVK3X55Zdr+PDhMgwj3PMCcBKEYQAAwqdNgXjNmjX605/+pMsuuyzc8wEAAJ2EVWKgSZvedi0xMVHf+c53wj0XAC3A6jCAcOKaArQxEN9zzz36zW9+I9M0wz0fAAAAoFO16ZaJzZs3691339Xf/vY3DRs2TF26dLF9/bXXXgvL5ADYsZIDoCNw6wScrk2B+PTTT9dVV10V7rkAOAnCMAAAHaNNgXjFihXhngeAkyAMA+gMrBTDqdp0D7EkNTQ0aOPGjfrd736nw4cPS5JKS0t15MiRsE0OAAAA6GhtCsQlJSUaMWKEfvjDH+r222/XwYMHJUmLFy/WvffeG9YJAgCAzsO/SMGJ2hSIf/7zn2vs2LGqqqpScnKyVb/qqqv09ttvh21ygNPxxAQgErj2wGna/C4T//znP5WYmGirDxgwQPv27QvLxAAAAIDO0KYVYq/Xq8bGxoD63r171a1bt3ZPCgArNAAii2sQnKRNgXjy5MlaunSp9blhGDpy5Ijmz5/Pn3MGwoAnIgAAOk+bAvFTTz2lTZs26ayzztK3336rG264QWeeeab27dunxx9/PNxzBByFMAwgmnBNghO06R7i7OxsffTRR/rjH/+of/3rX/J6vcrLy9ONN95o+yU7AAAAINq1KRBLUnJysm655Rbdcsst4ZwPAACIMvzBDsS7NgXiP/zhDyf9+syZM9s0GcDJeMIBACAy2hSIf/7zn9s+r6+v17Fjx5SYmKiUlBQCMQAAAGJGm36prqqqyvZx5MgRff755/r+97+vP/7xj+GeIxD3+KUVALGAaxXiVZsCcTCDBg3SY489FrB6DODkeIIBACCywhaIJSkhIUGlpaXhHBKIa4RhALEmPz2faxfiTpvuIf7LX/5i+9w0Te3fv1/Lli3T+eefH5aJAQAAAJ2hTYF42rRpts8Nw1CvXr108cUX68knnwzHvAAAQBTjnXEQT9oUiL1eb7jnATgKTyQAAESPsN5DDAAAAMSaNq0Q33333S3edsmSJW35FkDc4pdRAMQT/sUL8aBNgbioqEj/+te/1NDQoH/7t3+TJO3cuVMJCQn67ne/a21nGEZ4ZgnECcIwAADRp02B+IorrlC3bt300ksvqUePHpKa/ljHrFmz9IMf/ED33HNPWCcJxAPCMIB45bu+sVKMWNWme4iffPJJPfroo1YYlqQePXpo4cKFvMsEAAAAYkqbAnFNTY0OHDgQUC8vL9fhw4fbPSkg3rA6DMAJuNYhVrUpEF911VWaNWuWXn31Ve3du1d79+7Vq6++qry8PF199dXhniMQ03iCAAAgurXpHuJnn31W9957r6ZPn676+vqmgdxu5eXl6YknngjrBAEAAICO1KYV4pSUFD3zzDM6dOiQ9Y4TlZWVeuaZZ5SamhruOQIxi9VhAE7EtQ+xpl1/mGP//v3av3+/Bg8erNTUVJmmGa55AQAAAJ2iTYH40KFDmjhxogYPHqzLLrtM+/fvlyT9+7//O2+5BgAAWCVGTGlTIL7rrrvUpUsX7dmzRykpKVb9Jz/5idavXx+2yQGxiicCAOBaiNjRpkD81ltv6fHHH1ffvn1t9UGDBqmkpCQsEwNiFU8AAHAC10TEgjYF4qNHj9pWhn0qKiqUlJTU7kkBsYoLPwAAsadNgfiCCy7QH/7wB+tzwzDk9Xr1xBNP6KKLLgrb5AAAQOxjsQDRrk3vQ/zEE09owoQJKiwslMfj0X333acdO3aosrJS//znP8M9RyAmcMEHgNDy0/P1SOUjkZ4GEFSbVojPOussbd++Xeecc44mT56so0eP6uqrr1ZRUZFyc3PDPUcAAACgw7R6hbi+vl5TpkzR7373Oy1YsKAj5gQAAOIQq8SIVq1eIe7SpYuKi4tlGEZHzAeIOdwqAQBAbGvTLRMzZ87UCy+8EO65ADGHMAwArce1E9GmTb9U5/F49Pvf/14bNmzQ2LFjlZqaavv6kiVLwjI5IJpxQQcAID60KhB/+eWXOvPMM1VcXKzvfve7kqSdO3fatuFWCgAAcCrcT4xo0qpAPGjQIO3fv1/vvvuupKY/1fzb3/5WvXv37pDJAdGK1WEAaD9CMaJFq+4hNk3T9vnf/vY3HT16NKwTAgAAADpTm36pzqd5QAYAAGgN/sUN0aBVgdgwjIB7hLlnGE7ChRsAgPjTqnuITdPUzTffrKSkJEnSt99+q5/97GcB7zLx2muvhW+GQJQgDANAx+F+YkRSqwLxTTfdZPt8+vTpYZ0MAAAA0NlaFYhXrFjRUfMAAAAOxyoxIqVdv1QHOAG3SgBA5+Gai0ggEAMAAMDRCMTASbBSAQCdj2svOhuBGAiBCzIAAM5AIAaCIAwDQORxLUZnIRADAADA0QjEAAAgarFKjM5AIAb8cOEFgOjDtRkdjUAMAAAARyMQA8exAgEA0YtrNDoSgRgQF1oAAJyMQAzHIwwDQGzIT8/nmo0OQSAGAACAo0U0ED/66KMaN26cunXrpszMTE2bNk2ff/65bRvTNFVQUKDs7GwlJydrwoQJ2rFjh22buro63XnnncrIyFBqaqquvPJK7d27tzNbAQAAnYRVYoRbRAPxpk2bdPvtt+uDDz7Qhg0b1NDQoClTpujo0aPWNosXL9aSJUu0bNkybd26VVlZWZo8ebIOHz5sbTN37lytXbtWa9as0ebNm3XkyBFNnTpVjY2NkWgLMYILKgAAkCR3JL/5+vXrbZ+vWLFCmZmZ2rZtmy644AKZpqmlS5cqPz9fV199tSTppZdeUu/evbV69WrNnj1b1dXVeuGFF7Rq1SpNmjRJkvTyyy+rX79+2rhxoy655JJO7wsAAACxI6KBuLnq6mpJUnp6uiRp9+7dKisr05QpU6xtkpKSdOGFF2rLli2aPXu2tm3bpvr6ets22dnZGj58uLZs2RI0ENfV1amurs76vKamRpLU0NCghoYGSZLL5ZLL5ZLX65XX67W29dUbGxtlmuYp6wkJCTIMwxrXvy4pYBU7VN3tdss0TVvdMAwlJCQEzDFUnZ5O1B/MfFCuRJcaGhrkSnTJW++VTNlqkqy6f83q25BcXU7UXIkueT1eq+6rmV5TZoMpuSSX+8Q/yvj6NhIMGQmGNY6RYMhsNK26NU6j2VR3GzJchjWOr2//ekNDg2TI6sk2R79e/ZmmaevpZL0abiNoT6bXDOjJNsdQvTbvqSGwJ2uOss89WK/WOB6vTNMMqDfvSfI7PoP0ZDaY8nq9tnHMxlP06jbsx1KDV/I2fR//cbz13oCemvdqG+f4MeZfC9Wrb3/4emp+TPofX76ezMaT9Hp8f1jH0vGeAnoNct746v5zPNl5E6rXYPvD/5gMed6E6NV/fzQ0NDT9u6k3SK+ddI3wH6c91wjbHNtxjbD9zKLwGvFg5oMqKC2w6vHw/BSPz7nh6qn59uEUNYHYNE3dfffd+v73v6/hw4dLksrKyiRJvXv3tm3bu3dvlZSUWNskJiaqR48eAdv4Ht/co48+qgULFgTUi4qKlJqaKknq1auXcnNztXv3bh08eNDapm/fvurbt6927txpBXhJGjhwoDIzM1VcXKza2lqrPmTIEJ1++ukqKiqy7eCRI0cqMTFRhYWFtjmMHTtWHo9H27dvt2oJCQkaN26cqqur9dlnn1n15ORkjRo1ShUVFfryyy+tevfu3TV06FCVlpba7qWmp6aefjPkNxowY4AS05vmmjsnV/vW7dOxkmPKycuxapJUsqpEDUcabLXCwkK5El1yn+bWgBkDrFpOXo52Ld+llP4pOmPaGdZjPJUelawqUdrQNPWedOJY3rlzpyQpfVy60senW+NkXpSpAxsPKPOiTKUNS7PGqfywUoc+OKTsqdlKGZBijVNRUSFJ6n99fyWmJ1rjpPRPsXpyJbqscXw9+frxaWxsVGKPRKsnqemckGT15Bu7//X9g/Z0rORYQE9S04tbSVZPvnHSx6UH7enAxgMBPUknXjT7evKNk9gjMWhPu5bvUm1tra3u9XgDepKk4uJiSQra0751+1RaWmobp2ZHTUBPklRaWipJyp6abTtuDmw8oJodNSouLraNs2/dvoCeJKm2tlauRJdy5+Taxtm1fJfcp7ltNa/Hq13Ld6m6uto2tqfSY+vJ9xhfT+nj0m3j1Oyo0YGNB7R7927bOJUfVlo9pQxIsR7j66n/9f1t4/jOp6KiIts4JatK1NjYaDuXcufkWj0NmDHAqvl6SumfYhvbdz5VVFTYxsmemm31lD7+RF++njIvyrSN4zufdu7caRsnbWia1VMkrhH+47TnGuE/TnuuEf7jROs1wv85J9afn+LxOTecPfmOt44QNYH4jjvu0Pbt27V58+aArxmGYfvcNM2AWnMn2+aBBx7Q3XffbX1eU1Ojfv36afTo0UpLazoRXa6mJ6acnBwNGHDi5PfVBw8eHPAqSJKGDx8e8CpIkkaPHm2bg68+duzYgHpycnJAXWo6QP3rvv4yMjKsVXX/enZ2trKysgLm6OSe5mfNlyTt+eMeGS5D0/On681pb1qrdLtf2K2ZC2bqzWlvSjqx+jN27FirNj1/ul73vC5PlUe7lu+yar6vH9tzTLuW77JqvhWRmk9rdOSLI9ZcZjw4Q5JUubVSVf+qssZ54903JEnl75br4N8Pnhjn+Cpd6RultpWSjIcybD1Zc9zzutWT/xx9Pfnm7pMwL8HWk+8x67TO6sma45VvBO3J16t/T5I086GZtp6scba+EbQn3+qPf0+S1H1ed1tPVq9VrwftyevxKjk5OaCuR2TrSWraH3/Sn0L2lJ2dbdvetz/8e/LvtfSNUt363K0njqXjPQ0fPlyvXvLqiTn6HXv+kuclW6HQ//jyerzyVHlsx6T18+ne3T5Hryn95sR+an5MVm6ttI3j6yknJ0crl68M6NW3n6xjyW8/3fLkLfbzRk3XiL9c8RdbrwkJCQHnja+n5r1KTfvJNsfjc8/IyAh6TPqOvebnTfm75Rq7OrDXwYMHa/Xy1dY4r3/6utVTJK4R/uO05xrhf+y15xrhP+9ovUZ8/crXkqT5e+fH9PNTPD7nhrun5tuHU1QE4jvvvFN/+ctf9Pe//119+/a16r6dUFZWpj59+lj18vJya9U4KytLHo9HVVVVtlXi8vJynXfeeUG/X1JSkpKSkgLqbrdbbrf9R+Jb7m/Ot9NaWm8+blvqhmEErYeaY2vrjujp+L/wmA2mTJlyu93WiqHUFDaa13xz99Ws+Zqy1azHmCHG8cr2uW9uvn/m9I3j+39fvfk4vrn799687na75dsk6BylgB4Nw7D1dLJezQbf4IHjNO/JNsdQvTbrKVSvvot0wByb9dq8r2D15r1ax0qInlwuV+t6bQjcd77vE2ycoPtDIY4lM3B/nrRXb/Bxgh1fJ+01xHkTqtdTzbFF502IXv3n6H9MhjxvQvTqvz/cbnfErxH+tfZcI/xr7blG+Nei/Rrh/1wSk89Pp6jTU+h6OET0XSZM09Qdd9yh1157Te+8845ycnJsX8/JyVFWVpY2bNhg1TwejzZt2mSF3TFjxqhLly62bfbv36/i4uKQgRgAAMQX3jkI7RHRFeLbb79dq1ev1v/7f/9P3bp1s+757d69u5KTk2UYhubOnatFixZp0KBBGjRokBYtWqSUlBTdcMMN1rZ5eXm655571LNnT6Wnp+vee+/ViBEjrHedAPLT8/VI5SORngYAAIhCEQ3Ey5cvlyRNmDDBVl+xYoVuvvlmSdJ9992n2tpa3XbbbaqqqtL48eP11ltvqVu3btb2Tz31lNxut6699lrV1tZq4sSJWrlyZcglegAAAMAnooHY/wbrUAzDUEFBgQoKCkJu07VrVz399NN6+umnwzg7xAv+GQ0AnIN/EURbRPQeYgAAACDSCMQAACCu8C+DaC0CMeIWF0QAcC6eA9AaBGLEJS6EAACeC9BSBGLEHS6AAACgNQjEAAAAcDQCMeIKq8MAgOZ4bsCpEIgBAADgaARiAAAQ91glxskQiBEXuNABAE6F5wqEQiBGzOMCBwBoKZ4zEAyBGDGNCxsAAGgvAjEAAHAUFlPQHIEYMYsLGgCgrXgOgT8CMQAAAByNQAwAAByJVWL4EIgRc7iAAQCAcCIQI6YQhgEA4cZzCwjEiBlcsAAAQEcgEAMAAMdj0cXZCMSICVyoAAAdjeca5yIQAwAAwNEIxAAAAMexSuxMBGJENS5MAACgoxGIEbUIwwCASOE5yFkIxAAAAHA0AjEAAEAQrBI7B4EYUYcLEAAgWvCc5AwEYgAAADgagRhRhVfiAIBow3NT/CMQI2pwwQEAAJFAIEZUIAwDAKIdz1Xxi0AMAAAARyMQAwAAtBCrxPGJQIyI4sICAIg1PHfFHwIxAAAAHI1AjIjhFTYAIFbxHBZfCMSICC4kAAAgWhCI0ekIwwCAeJCfns9zWpwgEAMAAMDRCMQAAADtwCpx7CMQo9NwwQAAANGIQAwAAABHIxCjU7A6DACIdzzXxS4CMTocFwgAABDNCMQAAABhwiJQbCIQo0NxYQAAOA3PfbGHQAwAABBmhOLYQiBGh+BCAAAAYgWBGAAAAI5GIEbYsToMAEATnhNjA4EYAAAAjkYgBgAA6ECsEkc/AjHChhMeAIDgeI6MbgRihAUnOgAAJ8dzZfQiEKPdOMEBAEAsIxADAADA0QjEaBdWhwEAaB2eO6MPgRgAAACORiAGAADoZKwSRxcCMdqEExkAgPbhuTR6EIjRapzAAACEB8+p0YFAjFbhxAUAAPGGQAwAABBBLDZFHoEYLcYJCwBAx+A5NrIIxAAAAHA0AjEAAEAUYJU4cgjEOCVOUAAAEM8IxDgpwjAAAJ2L597ORyBGSJyQAADACQjEAAAAUYZFqc5FIEZQnIgAAEQWz8Wdh0AMAAAARyMQAwAARClWiTsHgRg2nHgAAMBpCMSwEIYBAIhOPEd3LAIxAAAAHC2igfjvf/+7rrjiCmVnZ8swDK1bt872ddM0VVBQoOzsbCUnJ2vChAnasWOHbZu6ujrdeeedysjIUGpqqq688krt3bu3E7sAAADoeKwSd5yIBuKjR49q1KhRWrZsWdCvL168WEuWLNGyZcu0detWZWVlafLkyTp8+LC1zdy5c7V27VqtWbNGmzdv1pEjRzR16lQ1NjZ2VhsxjxMMAIDYwHN2x3BH8ptfeumluvTSS4N+zTRNLV26VPn5+br66qslSS+99JJ69+6t1atXa/bs2aqurtYLL7ygVatWadKkSZKkl19+Wf369dPGjRt1ySWXdFovAAAAiE0RDcQns3v3bpWVlWnKlClWLSkpSRdeeKG2bNmi2bNna9u2baqvr7dtk52dreHDh2vLli0hA3FdXZ3q6uqsz2tqaiRJDQ0NamhokCS5XC65XC55vV55vV5rW1+9sbFRpmmesp6QkCDDMKxx/euSAlayQ9XdbrdM07TVDcNQQkJCwBxD1YP1tKDvAhkJRtPj3IYMV9NcXYkueRu8krep7qtJkrfeK5my1Xx10zStmjWOxysZkquLyz7O8bp/zfSaMhtMeb1e2ziG25DZYMpIMGQknJiP2WjKbDRtNUlWvbGx0TaOXLJ6svV6vCdXouuUvVr78nhPp+rV15Nckst94ufl25e+nqxeEwyrp6C9Hp+79XM/vi/96w0NDZIhqyfbHP169Weapq2nk/Xq2x/NezK9ZkBPtjmG6rV5Tw2BPVlzlH3uwXq1xvHYj0mbZr1a51aQnpofk1LTMXbSXpufN8fPJ/9jUjp+jCnE/lCQYzLIeROqV9/+8PXU/JgMdd6E7JVrRIdfI/zHac81wjbHdlwjbD8zrhFN/xPGa0RATy28RjyU9ZAe3v+wfV7HdXaO8K93dDZqvn04RW0gLisrkyT17t3bVu/du7dKSkqsbRITE9WjR4+AbXyPD+bRRx/VggULAupFRUVKTU2VJPXq1Uu5ubnavXu3Dh48aG3Tt29f9e3bVzt37lR1dbVVHzhwoDIzM1VcXKza2lqrPmTIEJ1++ukqKiqy7eCRI0cqMTFRhYWFtjmMHTtWHo9H27dvt2oJCQkaN26cqqur9dlnn1n15ORkjRo1ShUVFfryyy+tevfu3TV06FCVlpba7qdu3tNn//2ZcufkqvLDSklS9tRspQxIUWFhoXLn5OrAxgOq2VGj/tf3t2qStG/dPh0rOaaioiKrJkklq0rU2Nho1XyP2bV8l9ynuTVgxgCr5vV4tWv5LqX0T7GN7an0qGRViSoqKmzjZE/N1r51+5Q+Ll3p49Otx9TsqNGBjQeUeVGmbZzKDyt16IND2rlzp22ctKFpVk+J6YnWY3w95eTl2MYpWVWihiMNtlphYaFciS6rJ18tJy/H6umMaWdYj/H1lDY0Tb0nnTied+7cKUlWT75xMi/KtHpKG5ZmjePrybeffCoqKiTJ6sk3Tkr/FKsnV6LLGsfXk/++k5ouQIk9Eq2epKZzQpLVk2/s/tf3D9rTsZJjAT1JTS9wJVk9+cZJH5cetKcDGw8E9CTJOud8PfnGSeyRGLSnXct3qba21lb3erwBPUlScXGxJAXtad+6fSotLbWNU7OjJqAnSSotLZXUdD75Hze+86m4uNg2zr51+wJ6kqTa2lq5El3KnZNrG8d3PvnXfOdTdXW1bWxPpcfWk+8xvp7Sx6XbxvGdT7t377aNwzWi864R/uO05xrhP057rhH+43CNCP81onlPrb1GRDpH+HRWNvIdbx0hagOxj2EYts9N0wyoNXeqbR544AHdfffd1uc1NTXq16+fRo8erbS0poPW5Wo66HJycjRgwImT31cfPHhwwKsgSRo+fHjAqyBJGj16tG0OvvrYsWMD6snJyQF1qekA9a/7eszIyFB6enpAPTs7W1lZWQFzzMnJ0crzV1p136vY0jdKZbgMTc+frjenvWm9At/zxz265clb9Oa0NyWdeLU6evRo/eWKv1jjeOu9SkhI0K7luyTpxDgerzxVHu1avsuq+Rzbc0xjx461ar7Vg4yMDNs4b1z5hiSpcmulqv5VZY3jm3v5u+Uau9pvnOP1wYMHa/Xy1dY4r3/6utWTrdfjPe1+YbdmLphp79WUbY7T86frdc/rVk/+vfp68u/V11PNpzU68sURq/cZD86w9WT1+u4bVk8H/34woFfffvLJeCjD1pM1xz2vWz3Z9sfxnnxz90mYl2DryfeYdVpn9dR8fzTvyderf0+SNPOhmbaerHG2vhG0J/9jz7/efV53W09Wr1WvB+3J6/EqOTk5oK5HZOtJatoff9KfQvaUnZ1t297/2PP15N9r6RuluvW5W08cS8d7Gj58uF695NUTc/Q79vwlz0u2QqH/8eU7n/yPSevn0727fY5eU/rNif3U/Jis3FppP/+O95STk6OVy1cG9Mo1ouOvEf7jtOca4X/steca4T9vrhHhv0YE66k114gHez6oBeX2Bb7OyhGRyEbNtw+nqA3Evh1QVlamPn36WPXy8nJr1TgrK0sej0dVVVW2VeLy8nKdd955IcdOSkpSUlJSQN3tdsvttv9IfMv9zfl2WkvrzcdtS90wjKD1UHM8Wd33Ctif2WDKlCm32237utkQWPPNsXnNMAyrZvu62XThCXiMGXwc/zm63e6mf3rTiX/mDJhjkJrUtD/8x5FvOiF6DTrHZr1Y+8BU63r1yva571jx9WT12niKXo/P3f9n1bzudrvl2yToHKWg+86/p5P16tsfzXuy5ujXk22OoXpt1lOoXn0X6YA5Nuu1eV/B6s17tc7dED2FPG9C9RrivPE/Jv0F3R9q3XkTsldv8HFCnTdcIyJ3jfCvteca4V9rzzXCv8Y1IvzXiGA9tfYaEakcES3ZKFyi9n2Ic3JylJWVpQ0bNlg1j8ejTZs2WWF3zJgx6tKli22b/fv3q7i4+KSBGAAAIB7wrhPhEdFAfOTIEX300Uf66KOPJDXdQ/TRRx9pz549MgxDc+fO1aJFi7R27VoVFxfr5ptvVkpKim644QZJTUv/eXl5uueee/T222+rqKhI06dP14gRI6x3nYAdJw4AAPGF5/b2i+gtE4WFhbrooousz3339d50001auXKl7rvvPtXW1uq2225TVVWVxo8fr7feekvdunWzHvPUU0/J7Xbr2muvVW1trSZOnKiVK1eGXJ4HAAAA/EU0EE+YMMF2k3VzhmGooKBABQUFIbfp2rWrnn76aT399NMdMMP4witIAADiU356vh6pfCTS04hZUXsPMcKLMAwAABAcgRgAACAOsPjVdgRiB+AEAQDAGXjObxsCMQAAQBwhFLcegTiOcUIAAACcGoEYAAAAjkYgjlOsDgMA4GxkgZYjEMchTgAAAICWIxADAADEKRbJWoZAHGc48AEAgD+ywakRiAEAAOIcofjkCMRxggMdAACgbQjEAAAAcDQCcRxgdRgAALQEmSE4AjEAAAAcjUAMAADgIKwSByIQxzAOaAAA0BZkCDsCcYziQAYAAO1BljiBQByDOIABAADCh0AMAAAARyMQxxhWhwEAQDiRLQjEAAAAcDgCMQAAgMM5fZWYQBwjnH6gAgCAjuXkrEEgjgFOPkABAEDncWrmIBBHOacemAAAAJ2FQAwAAACLExfjCMRRzIkHJAAAiDynZRACMQAAAByNQAwAAIAATlolJhBHIScdgAAAAJFGII4yhGEAABBNnJBNCMRRxAkHHAAAQLQhEAMAAOCk4n3RjkAcJeL9QAMAALEtnrMKgRgAAACORiAGAABAi8TrKjGBOMLi9cACAACIFQTiCCIMAwCAWBRvGYZADAAAAEcjEAMAAKDV4mmVmEAcAfF0AAEAAOeKl0xDIAYAAICjEYg7Wby8kgIAAJDiI9sQiDtRPBwwAAAA8YZADAAAAEcjEHcSVocBAEA8i+WsQyAGAABAWMRqKCYQd7BYPTAAAACcgkAMAAAARyMQdyBWhwEAgBPFWgYiEHeQWDsQAAAAnIpADAAAgLCLpcVBAnEHiKUDAAAAoKPESiYiEAMAAKDDxEIoJhCHUSzscAAAANgRiAEAAOBoBOIwYXUYAAAgtGjOSgTiMIjmHQwAAICTIxADAACgU0TrIiKBuJ2idccCAABEo2jMTgRiAAAAdKpoC8UE4jaKth0JAACAtiEQAwAAwNEIxG3A6jAAAED7RUumIhADAADA0QjEAAAAiJhoWCUmELdCNOwwAACAeBPpjEUgbqFI7ygAAIB4FsmsRSBuAcIwAABA/CIQAwAAwNEIxKfA6jAAAEDniUT2IhADAADA0QjEAAAAiCqdvUpMIA6BWyUAAACcgUAcBGEYAAAg8jorkxGImyEMAwAAOEvcBOJnnnlGOTk56tq1q8aMGaN//OMfkZ4SAAAA2qkzFivjIhC/8sormjt3rvLz81VUVKQf/OAHuvTSS7Vnz55WjfPwgIc7aIYAAABoq44OxXERiJcsWaK8vDz9+7//u4YOHaqlS5eqX79+Wr58eaSnBgAAgCjnjvQE2svj8Wjbtm365S9/aatPmTJFW7ZsCfqYuro61dXVWZ9XV1dLkuoT6uVyNb1GMBtN1dTUyGN4ZCQY1rbffPON6sw6GQmGKisrVe+ulyR5G7ySKVVVVVk1X72mpsZW833POrNOri4u+zj1XsmQrearV1dX22qmt2mOdaqTy31iHNNrymw0ZbjsczQbTZleU9988419HF+vLo/tMb6eQvUaMMcG+xytcY735D/HUL365u4/x8rKSnlcHqsn//n4egrVq//+qKysVJ3qrJ6C9RqwP4L0WllZqTqzzurpVL36evLfXmo6VurMOqsnq1fDY/UUtNfjcw92TPrq/r26ujSbo1+vAcfk8WPJJ1Svvv3RvCffMRnyvAnVa7OefOeN75i0zfH4eWObY7NerXGCnDeSbOdN8/0RrKfmx6TENYJrRMdcI/zHac81wn+c9lwj/MfhGhH+a0Tzntp6jWjeU1uvEc17irZrxEMDH2r6fqapsDNj3L59+0xJ5j//+U9b/ZFHHjEHDx4c9DHz5883JfHBBx988MEHH3zwEWMfu3btCnuejItbJiTJMAzb56ZpBtR8HnjgAVVXV1sfJSUlnTFFAAAAtFN6enrYx4z5WyYyMjKUkJCgsrIyW728vFy9e/cO+pikpCQlJSV1xvQAAAAQRr7bW8M6ZthH7GSJiYkaM2aMNmzYYKtv2LBB5513XoRmBQAAgFgR8yvEknT33XdrxowZGjt2rM4991w999xz2rNnj372s59FemoAAACIcnERiH/yk5/o0KFDevjhh7V//34NHz5cf/3rXzVgwIAWPT4pKUn333+/Nm/erHHjxmnr1q0aN26cPvzwQ0nS+PHjg9ZO9XXGYRzGif7vzTiMwziME0vf28njnHvuuR1226thmh3x3hUAAABAbIj5e4gBAACA9iAQAwAAwNEIxAAAAHA0AjEAAAAcLS7eZaKtbr31Vr300kvyeDyRngoAAADCZPbs2Xr22WdbvL2j32Vi7NixqqmpUUVFhaqqqiI9HQAAALSA2+1WQ0ODrXbFFVeooqJCH3zwgUzTVGFhocaMGdOi8Rx9y0RhYaF27typ//iP/zjltv369evw+bjdwRfsu3XrpoSEhA7//gAAALGga9euAbVLLrlEtbW1uuGGGyRJq1evbvF4jg7ErdEZgbT5Kx2fw4cPq7GxscO/PwAAQCw4cuRIQO2BBx7QRx99pJycHElSfX19i8cjEEvas2fPKbf56quvOn4iAAAAaJPDhw9Lkh5//HFJUl1dXYsf6/hA/PXXX+vNN9+M9DQAAADQSi5XYJQ97bTT5HK59M0337R8nDDOKSZt27ZN5eXlkZ4GAAAAWsnr9QbUzjrrLLndbpWUlLR4HEcHYtM09de//lW9evVq9WOTkpIkhf5FOAAAAHQMwzACallZWZKafuHO4/Gof//+LR7P0YH41ltv1YoVK9SzZ89WP9Z3X0qoX4QDAABAxwj2rsGHDh2SJP3zn/+UJN18880tHs/R70Mc7NUFAAAAYpNhGMrKytJjjz2mmTNntvhxjv73fge/FgAAAMBxjr5lAgAAACAQAwAAwNEIxAAAAHA0AjEAAAAcjUAMAAAARyMQAwAAwNEIxAAAAHA0AjEAAAAcjUAMAAAARyMQAwAAwNEIxAAAAHA0AjEAxImDBw8qKytLixYtsmoffvihEhMT9dZbb0VwZgAQ3QzTNM1ITwIAEB5//etfNW3aNG3ZskVDhgzR6NGjdfnll2vp0qWRnhoARC0CMQDEmdtvv10bN27UuHHj9PHHH2vr1q3q2rVrpKcFAFGLQAwAcaa2tlbDhw/X119/rcLCQo0cOTLSUwKAqMY9xAAQZ7788kuVlpbK6/WqpKQk0tMBgKjHCjEAxBGPx6NzzjlHZ599toYMGaIlS5bok08+Ue/evSM9NQCIWgRiAIgjv/jFL/Tqq6/q448/1mmnnaaLLrpI3bp10xtvvBHpqQFA1OKWCQCIE++9956WLl2qVatWKS0tTS6XS6tWrdLmzZu1fPnySE8PAKIWK8QAAABwNFaIAQAA4GgEYgAAADgagRgAAACORiAGAACAoxGIAQAA4GgEYgAAADgagRgAAACORiAGAACAoxGIAQAA4GgEYgAAADgagRgAAACO9v8DTSihwJJD4PcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Slide 5b ( intro to pandas DataFrame create, access, read/write from/to file )\n",
    "\n",
    "# Distribution\n",
    "import seaborn as sns\n",
    "distri = pd.read_excel(\"D:/Users/DELL/Downloads/distribution.xlsx\")\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.countplot(x='x', data=distri, color='darkmagenta')\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": 63,
   "id": "25ee4560",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Slide 5b ( intro to pandas DataFrame create, access, read/write from/to file )\n",
    "\n",
    "#Fruit pie chart\n",
    "fruitpie = pd.read_excel(\"D:/Users/DELL/Downloads/fruit_pie_chart.xlsx\")\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.pie(fruitpie['amount'], labels=fruitpie['fruit'], autopct='%1.1f%%', startangle=140)\n",
    "plt.title('Pie Chart of Fruit Distribution')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "776de4c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Slide 5b ( intro to pandas DataFrame create, access, read/write from/to file )\n",
    "\n",
    "#Contour\n",
    "contour = pd.read_excel(\"D:/Users/DELL/Downloads/contour.xlsx\")\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.tricontourf(contour['x'], contour['y'], contour['z'], cmap='gist_stern')\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": 69,
   "id": "1455ab99",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Slide 6 ( Descriptive statistics: An intro Characterize distributions with Python )\n",
    "\n",
    "# Exercise 1\n",
    "\n",
    "# - Explain the difference between median and middle value?\n",
    "# Answer :\n",
    "# The median is the value that separates the upper half of a dataset from the lower half. \n",
    "# It is the value where 50% of the numbers in the set are larger, and 50% are smaller.\n",
    "# The middle value is the middle number in a set of numbers when assorted in order \n",
    "# (either ascending or descending). The median and the middle value are often the same, especially in \n",
    "# sets with an odd number of values. The median is different from the middle value when there's an \n",
    "# even number of items in the set. In this case, the median is the average of the two middle values.\n",
    "# The median and the middle value are two different ways of measuring the center of a set of data. \n",
    "# The median is more robust and less affected by outliers, while the middle value is a quick and easy \n",
    "# way to find the center of a set of data.\n",
    "\n",
    "# - Are mean and mode values always the same for unsorted and sorted dataset? Why?\n",
    "# Answer :\n",
    "# No, the mean (average) and mode (most frequent value) of a dataset do not necessarily change when \n",
    "# the data is sorted or unsorted. Here's why:\n",
    "# > Mean\n",
    "# -- The mean is the sum of all the values in a dataset divided by the number of values. It represents the \n",
    "# \"average\" value.\n",
    "# -- Regardless of the order, each data point contributes the same value to the sum used to calculate the \n",
    "# mean.\n",
    "# -- Therefore, rearranging the data doesn't change the sum or the number of values, and consequently, \n",
    "# the mean remains the same.\n",
    "# > Mode\n",
    "# -- The mode is the most frequent value in a dataset.\n",
    "# -- Whether the data is sorted or not, the frequency of each value remains the same.\n",
    "# -- Even if the order changes, the number of times each value appears doesn't change, so the \n",
    "# most frequent value (mode) remains the same.\n",
    "\n",
    "# - If range is caculate with last datapoint – first datapoint, should the dataset \n",
    "# is sorted first or not? Why?\n",
    "# Answer :\n",
    "# When calculating the range of a dataset, sorting the data beforehand is not necessary. \n",
    "# The range itself focuses purely on the difference between the two most extreme values, \n",
    "# regardless of their position within the data. Here's why sorting doesn't affect the range:\n",
    "# -- Range: It represents the spread of data, calculated as the difference between the maximum (largest)\n",
    "# and minimum (smallest) values.\n",
    "# -- Sorting: Arranging the data in ascending or descending order only changes the relative position \n",
    "# of the values, not their actual values.\n",
    "# Therefore, sorting doesn't affect the range because:\n",
    "# -- The calculation only involves the extreme values, not their position.\n",
    "# -- Sorting only changes the relative order, not the actual values themselves.\n",
    "# So, we can calculate the range accurately without sorting the data first, as it doesn't impact the \n",
    "# difference between the highest and lowest values in the set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "24feea45",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = [10, 20, 40, 40, 40, 60, 70, 20, 40, 40, 40, 40, 40, 60, 10, 20, 30, 40, 50, 60, 70, 70, 20, 30, 40, 50, 70, 20]\n",
      "\n",
      "N = 28\n"
     ]
    }
   ],
   "source": [
    "x = [\n",
    "    10, 20, 40, 40, 40, 60, 70,\n",
    "    20, 40, 40, 40, 40, 40, 60,\n",
    "    10, 20, 30, 40, 50, 60, 70,\n",
    "    70, 20, 30, 40, 50, 70, 20,\n",
    "]\n",
    "print('x =', x)\n",
    "print()\n",
    "print('N =', len(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "5c5ff28f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Histogram of x\n",
    "import matplotlib.pyplot as plt\n",
    "plt.hist(x, bins=7, range=[10, 80])\n",
    "plt.yticks(range(0, 11,1))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "103d72e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Histogram of y\n",
    "plt.hist(y, bins=7, range=[10, 80])\n",
    "plt.yticks(range(0, 11,1))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "88bd0c19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhYAAAGiCAYAAAC79I8tAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAcW0lEQVR4nO3df5DUdf3A8dcCx+IpRwkRXAKiZYaANp5TpJlm1BA6Ok5NiRplNVORP6IfptYA+QOnZswaJ8pqzMYuHAcx+6F5loBWJBAUMYWapNSoDJl36I3bxr2/f3zndjwPkMX3eu3u4zGzM+5nP/vZ9/t9H++esz/YQkopBQBABsOGegAAQOMQFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDZVh8U///nPOO+882Ls2LHR2toaxx13XGzYsKEWYwMA6syIanb+97//HSeeeGKceuqpcdddd8X48ePjb3/7W7zqVa+q0fAAgHpSqOZLyL74xS/Gb37zm7j//vtrOSYAoE5VFRbTpk2L97znPfGPf/wjVq9eHa973eviU5/6VHz84x/f631KpVKUSqXK9b6+vnj66adj7NixUSgUXt7oAYBXREopdu3aFe3t7TFs2D7eSZGqUCwWU7FYTJdddln6wx/+kL797W+nUaNGpZtvvnmv91m0aFGKCBcXFxcXF5cGuGzfvn2frVDVMxYjR46Mjo6O+O1vf1vZdtFFF8W6devid7/73R7v8+JnLLq7u2Py5Mmxbdu2GD169P4+9Esql8tx3333xamnnhotLS3ZjltPmn0NzL+55x9hDZp9/hHWoJbz37VrV0ydOjWeeeaZGDNmzF73q+rNmxMnToxp06YN2PamN70pVqxYsdf7FIvFKBaLg7Yfeuih0dbWVs3D71O5XI7W1tYYO3ZsU55MEdbA/Jt7/hHWoNnnH2ENajn//uO91NsYqvq46Yknnhhbt24dsO2hhx6KKVOmVDk8AKARVRUWn/nMZ2Lt2rVxzTXXxCOPPBKdnZ1x4403xoIFC2o1PgCgjlQVFieccEKsXLkyfvzjH8f06dPjyiuvjOuvvz7OPffcWo0PAKgjVb3HIiLi9NNPj9NPP70WYwEA6pzvCgEAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyKaqsFi8eHEUCoUBlwkTJtRqbABAnRlR7R2OOeaYuPfeeyvXhw8fnnVAAED9qjosRowYUdWzFKVSKUqlUuV6T09PRESUy+Uol8vVPvxe9R8r5zHrTbOvgfk39/wjrEGzzz/CGtRy/vt7zEJKKe3vQRcvXhxf+9rXYsyYMVEsFuMtb3lLXHPNNXHEEUfs8z5LliwZtL2zszNaW1v396EBgCHU29sb8+bNi+7u7mhra9vrflWFxV133RW9vb1x1FFHxVNPPRVXXXVV/PWvf40tW7bE2LFj93ifPT1jMWnSpNi5c+c+B1atcrkcXV1d8eX1w6LUV8h23HpSHJbiyo6+mD17drS0tAz1cF5x/eeA+Tfn/COsQbPPP8Ia1HL+PT09MW7cuJcMi6peCpkzZ07lv2fMmBGzZs2KI488Mm6++eZYuHDhHu9TLBajWCwO2t7S0lKTH3qprxCl3c0ZFv1qtbb1wvybe/4R1qDZ5x9hDWox//093sv6uOnBBx8cM2bMiIcffvjlHAYAaBAvKyxKpVL85S9/iYkTJ+YaDwBQx6oKi8997nOxevXq2LZtW/z+97+P973vfdHT0xPz58+v1fgAgDpS1Xss/vGPf8Q555wTO3fujNe85jXx1re+NdauXRtTpkyp1fgAgDpSVVgsX768VuMAABqA7woBALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANi8rLJYuXRqFQiEuueSSTMMBAOrZAYfFunXr4sYbb4yZM2fmHA8AUMcOKCyeffbZOPfcc+O73/1uvPrVr849JgCgTo04kDstWLAg5s6dG+9617viqquu2ue+pVIpSqVS5XpPT09ERJTL5SiXywfy8HvUf6zisJTtmPWmf+4517We9M/b/Jtz/hHWoNnnH2ENajn//T1mIaVU1V/i5cuXx9VXXx3r1q2LUaNGxSmnnBLHHXdcXH/99Xvcf/HixbFkyZJB2zs7O6O1tbWahwYAhkhvb2/Mmzcvuru7o62tba/7VRUW27dvj46Ojrjnnnvi2GOPjYh4ybDY0zMWkyZNip07d+5zYNUql8vR1dUVX14/LEp9hWzHrSfFYSmu7OiL2bNnR0tLy1AP5xXXfw6Yf3POP8IaNPv8I6xBLeff09MT48aNe8mwqOqlkA0bNsSOHTvi+OOPr2zbvXt3rFmzJm644YYolUoxfPjwAfcpFotRLBYHHaulpaUmP/RSXyFKu5szLPrVam3rhfk39/wjrEGzzz/CGtRi/vt7vKrC4rTTTovNmzcP2PaRj3wkjj766Lj00ksHRQUA0FyqCovRo0fH9OnTB2w7+OCDY+zYsYO2AwDNx7+8CQBkc0AfN32hVatWZRgGANAIPGMBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJBNVWGxbNmymDlzZrS1tUVbW1vMmjUr7rrrrlqNDQCoM1WFxWGHHRbXXnttrF+/PtavXx/vfOc748wzz4wtW7bUanwAQB0ZUc3OZ5xxxoDrV199dSxbtizWrl0bxxxzzB7vUyqVolQqVa739PRERES5XI5yuVztePeq/1jFYSnbMetN/9xzrms96Z+3+Tfn/COsQbPPP8Ia1HL++3vMQkrpgP4S7969O2677baYP39+bNy4MaZNm7bH/RYvXhxLliwZtL2zszNaW1sP5KEBgFdYb29vzJs3L7q7u6OtrW2v+1UdFps3b45Zs2bF888/H4ccckh0dnbGe9/73r3uv6dnLCZNmhQ7d+7c58CqVS6Xo6urK768fliU+grZjltPisNSXNnRF7Nnz46WlpahHs4rrv8cMP/mnH+ENWj2+Uf4W1DLvwM9PT0xbty4lwyLql4KiYh44xvfGJs2bYpnnnkmVqxYEfPnz4/Vq1fv9RmLYrEYxWJx0PaWlpaanPilvkKUdjffyfRCtVrbemH+zT3/CGvQ7POP8LegFufA/h6v6rAYOXJkvP71r4+IiI6Ojli3bl184xvfiO985zvVHgoAaDAv+9+xSCkNeKkDAGheVT1jcfnll8ecOXNi0qRJsWvXrli+fHmsWrUq7r777lqNDwCoI1WFxVNPPRXnn39+PPHEEzFmzJiYOXNm3H333TF79uxajQ8AqCNVhcX3v//9Wo0DAGgAvisEAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2VQVFkuXLo0TTjghRo8eHePHj4+zzjortm7dWquxAQB1pqqwWL16dSxYsCDWrl0bXV1d8d///jfe/e53x3PPPVer8QEAdWRENTvffffdA67fdNNNMX78+NiwYUOcfPLJWQcGANSfqsLixbq7uyMi4tBDD93rPqVSKUqlUuV6T09PRESUy+Uol8sv5+EH6D9WcVjKdsx60z/3nOtaT/rnbf7NOf8Ia9Ds84/wt6CWfwf295iFlNIBrX5KKc4888z497//Hffff/9e91u8eHEsWbJk0PbOzs5obW09kIcGAF5hvb29MW/evOju7o62tra97nfAYbFgwYL4+c9/Hg888EAcdthhe91vT89YTJo0KXbu3LnPgVWrXC5HV1dXfHn9sCj1FbIdt54Uh6W4sqMvZs+eHS0tLUM9nFdc/zlg/s05/wi/B5r9d0CEc6CW50BPT0+MGzfuJcPigF4KufDCC+POO++MNWvW7DMqIiKKxWIUi8VB21taWmpy4pf6ClHa3Xwn0wvVam3rhfk39/wj/B5wDjgHanEO7O/xqgqLlFJceOGFsXLlyli1alVMnTr1gAYHADSmqsJiwYIF0dnZGT/5yU9i9OjR8eSTT0ZExJgxY+Kggw6qyQABgPpR1b9jsWzZsuju7o5TTjklJk6cWLnceuuttRofAFBHqn4pBABgb3xXCACQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANlWHxZo1a+KMM86I9vb2KBQKcccdd9RgWABAPao6LJ577rk49thj44YbbqjFeACAOjai2jvMmTMn5syZU4uxAAB1ruqwqFapVIpSqVS53tPTExER5XI5yuVytsfpP1ZxWMp2zHrTP/ec61pP+udt/s05/wi/B5r9d0CEc6CW58D+HrOQUjrg1S8UCrFy5co466yz9rrP4sWLY8mSJYO2d3Z2Rmtr64E+NADwCurt7Y158+ZFd3d3tLW17XW/mofFnp6xmDRpUuzcuXOfA6tWuVyOrq6u+PL6YVHqK2Q7bj0pDktxZUdfzJ49O1paWoZ6OK+4Zj8Hmv3nH+EccA44B2p5DvT09MS4ceNeMixq/lJIsViMYrE4aHtLS0tNTvxSXyFKu5vvZHqhWq1tvWj2c6DZf/4RzgHngHOgFufA/h7Pv2MBAGRT9TMWzz77bDzyyCOV69u2bYtNmzbFoYceGpMnT846OACgvlQdFuvXr49TTz21cn3hwoURETF//vz4wQ9+kG1gAED9qTosTjnllHgZ7/cEABqY91gAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGQjLACAbIQFAJCNsAAAshEWAEA2wgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2QgLACAbYQEAZCMsAIBshAUAkI2wAACyERYAQDbCAgDIRlgAANkICwAgG2EBAGRzQGHxrW99K6ZOnRqjRo2K448/Pu6///7c4wIA6lDVYXHrrbfGJZdcEldccUVs3Lgx3v72t8ecOXPi8ccfr8X4AIA6MqLaO1x33XXx0Y9+ND72sY9FRMT1118fv/zlL2PZsmWxdOnSQfuXSqUolUqV693d3RER8fTTT0e5XD7QcQ9SLpejt7c3RpSHxe6+Qrbj1pMRfSl6e/viX//6V7S0tAz1cF5xzX4ONPvPP8I54BxwDtTyHNi1a1dERKSU9r1jqkKpVErDhw9Pt99++4DtF110UTr55JP3eJ9FixaliHBxcXFxcXFpgMv27dv32QpVPWOxc+fO2L17d7z2ta8dsP21r31tPPnkk3u8z2WXXRYLFy6sXO/r64unn346xo4dG4VCvprs6emJSZMmxfbt26OtrS3bcetJs6+B+Tf3/COsQbPPP8Ia1HL+KaXYtWtXtLe373O/ql8KiYhBQZBS2mskFIvFKBaLA7a96lWvOpCH3S9tbW1NeTK9ULOvgfk39/wjrEGzzz/CGtRq/mPGjHnJfap68+a4ceNi+PDhg56d2LFjx6BnMQCA5lNVWIwcOTKOP/746OrqGrC9q6sr3va2t2UdGABQf6p+KWThwoVx/vnnR0dHR8yaNStuvPHGePzxx+MTn/hELca334rFYixatGjQyy7NpNnXwPybe/4R1qDZ5x9hDf4X5l9IL/m5kcG+9a1vxVe/+tV44oknYvr06fH1r389Tj755FqMDwCoIwcUFgAAe+K7QgCAbIQFAJCNsAAAshEWAEA2dRcWa9asiTPOOCPa29ujUCjEHXfcMeD2lFIsXrw42tvb46CDDopTTjkltmzZMjSDrYGlS5fGCSecEKNHj47x48fHWWedFVu3bh2wTyOvwbJly2LmzJmVf1Vu1qxZcdddd1Vub+S578nSpUujUCjEJZdcUtnW6GuwePHiKBQKAy4TJkyo3N7o84+I+Oc//xnnnXdejB07NlpbW+O4446LDRs2VG5v9DU4/PDDB50DhUIhFixYEBGNP////ve/8aUvfSmmTp0aBx10UBxxxBHxla98Jfr6+ir7DOkaVPMlZP8LfvGLX6QrrrgirVixIkVEWrly5YDbr7322jR69Oi0YsWKtHnz5vSBD3wgTZw4MfX09AzNgDN7z3vek2666ab05z//OW3atCnNnTs3TZ48OT377LOVfRp5De68887085//PG3dujVt3bo1XX755amlpSX9+c9/Tik19txf7MEHH0yHH354mjlzZrr44osr2xt9DRYtWpSOOeaY9MQTT1QuO3bsqNze6PN/+umn05QpU9KHP/zh9Pvf/z5t27Yt3XvvvemRRx6p7NPoa7Bjx44BP/+urq4UEem+++5LKTX+/K+66qo0duzY9LOf/Sxt27Yt3XbbbemQQw5J119/fWWfoVyDuguLF3pxWPT19aUJEyaka6+9trLt+eefT2PGjEnf/va3h2CEtbdjx44UEWn16tUppeZcg1e/+tXpe9/7XlPNfdeuXekNb3hD6urqSu94xzsqYdEMa7Bo0aJ07LHH7vG2Zpj/pZdemk466aS93t4Ma/BiF198cTryyCNTX19fU8x/7ty56YILLhiw7eyzz07nnXdeSmnoz4G6eylkX7Zt2xZPPvlkvPvd765sKxaL8Y53vCN++9vfDuHIaqe7uzsiIg499NCIaK412L17dyxfvjyee+65mDVrVlPNfcGCBTF37tx417veNWB7s6zBww8/HO3t7TF16tT44Ac/GI8++mhENMf877zzzujo6Ij3v//9MX78+Hjzm98c3/3udyu3N8MavNB//vOfuOWWW+KCCy6IQqHQFPM/6aST4le/+lU89NBDERHxxz/+MR544IF473vfGxFDfw4c0Leb/q/q/3K0PX2t+2OPPTYUQ6qplFIsXLgwTjrppJg+fXpENMcabN68OWbNmhXPP/98HHLIIbFy5cqYNm1a5X+YRp57RMTy5cvjD3/4Q6xbt27Qbc3w83/LW94SP/zhD+Ooo46Kp556Kq666qp429veFlu2bGmK+T/66KOxbNmyWLhwYVx++eXx4IMPxkUXXRTFYjE+9KEPNcUavNAdd9wRzzzzTHz4wx+OiOb4f+DSSy+N7u7uOProo2P48OGxe/fuuPrqq+Occ86JiKFfg4YKi37VfK17Pfv0pz8df/rTn+KBBx4YdFsjr8Eb3/jG2LRpUzzzzDOxYsWKmD9/fqxevbpyeyPPffv27XHxxRfHPffcE6NGjdrrfo28BnPmzKn894wZM2LWrFlx5JFHxs033xxvfetbI6Kx59/X1xcdHR1xzTXXRETEm9/85tiyZUssW7YsPvShD1X2a+Q1eKHvf//7MWfOnGhvbx+wvZHnf+utt8Ytt9wSnZ2dccwxx8SmTZvikksuifb29pg/f35lv6Fag4Z6KaT/neHN8LXuF154Ydx5551x3333xWGHHVbZ3gxrMHLkyHj9618fHR0dsXTp0jj22GPjG9/4RlPMfcOGDbFjx444/vjjY8SIETFixIhYvXp1fPOb34wRI0ZU5tnIa/BiBx98cMyYMSMefvjhpjgHJk6cGNOmTRuw7U1velM8/vjjEdEcvwP6PfbYY3HvvffGxz72scq2Zpj/5z//+fjiF78YH/zgB2PGjBlx/vnnx2c+85lYunRpRAz9GjRUWEydOjUmTJgw4Gvd//Of/8Tq1asb5mvdU0rx6U9/Om6//fb49a9/HVOnTh1wezOswYullKJUKjXF3E877bTYvHlzbNq0qXLp6OiIc889NzZt2hRHHHFEw6/Bi5VKpfjLX/4SEydObIpz4MQTTxz0EfOHHnoopkyZEhHN9TvgpptuivHjx8fcuXMr25ph/r29vTFs2MA/38OHD6983HTI16Dmbw/NbNeuXWnjxo1p48aNKSLSddddlzZu3Jgee+yxlNL/f8RmzJgx6fbbb0+bN29O55xzTkN9zOiTn/xkGjNmTFq1atWAj1v19vZW9mnkNbjsssvSmjVr0rZt29Kf/vSndPnll6dhw4ale+65J6XU2HPfmxd+KiSlxl+Dz372s2nVqlXp0UcfTWvXrk2nn356Gj16dPr73/+eUmr8+T/44INpxIgR6eqrr04PP/xw+tGPfpRaW1vTLbfcUtmn0dcgpZR2796dJk+enC699NJBtzX6/OfPn59e97rXVT5uevvtt6dx48alL3zhC5V9hnIN6i4s7rvvvhQRgy7z589PKf3/x2wWLVqUJkyYkIrFYjr55JPT5s2bh3bQGe1p7hGRbrrppso+jbwGF1xwQZoyZUoaOXJkes1rXpNOO+20SlSk1Nhz35sXh0Wjr0H/5/FbWlpSe3t7Ovvss9OWLVsqtzf6/FNK6ac//WmaPn16KhaL6eijj0433njjgNubYQ1++ctfpohIW7duHXRbo8+/p6cnXXzxxWny5Mlp1KhR6YgjjkhXXHFFKpVKlX2Gcg18bToAkE1DvccCABhawgIAyEZYAADZCAsAIBthAQBkIywAgGyEBQCQjbAAALIRFgBANsICAMhGWAAA2fwfb01rCISNCoEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2nd dataset, bins = 7\n",
    "x = [ 10, 11, 12, 13, 14,\n",
    "    30, 50, 59, 70, 72, 73]\n",
    "plt.hist(x, bins=7, range=[10, 80])\n",
    "plt.yticks(range(0, 7,1))\n",
    "plt.xticks(range(10, 90, 10))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "6d665da1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2nd dataset, bins = 4\n",
    "x = [ 10, 11, 12, 13, 14,\n",
    "    30, 50, 59, 70, 72, 73]\n",
    "plt.hist(x, bins=4, range=[10, 80])\n",
    "plt.yticks(range(0, 7,1))\n",
    "plt.xticks([10, 27, 45, 62])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "8ef4eb56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2nd dataset, bins = 2\n",
    "x = [ 10, 11, 12, 13, 14,\n",
    "    30, 50, 59, 70, 72, 73]\n",
    "plt.hist(x, bins=2, range=[10, 80])\n",
    "plt.yticks(range(0, 7,1))\n",
    "plt.xticks([10, 45])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "876ea229",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2nd dataset, bins = 19\n",
    "x = [ 10, 11, 12, 13, 14,\n",
    "    30, 50, 59, 70, 72, 73]\n",
    "plt.hist(x, bins=19, range=[10, 80])\n",
    "plt.yticks(range(0, 7,1))\n",
    "plt.xticks(range(10, 80, 4))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "d4cdc967",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[50, 43, 17, 36, 57, 79, 41, 21, 22, 13, 40, 19, 41, 56, 44, 76, 56, 14, 44, 74, 69, 51, 21, 18, 74, 48, 45, 42, 76, 42, 33, 30, 21, 54, 18, 75, 67, 58, 50, 73, 56, 68, 10, 20, 48, 52, 56, 24, 11, 71, 47, 34, 18, 68, 37, 54, 67, 66, 12, 14, 66, 66, 37, 18, 22, 26, 15, 13, 49, 34, 60, 26, 60, 39, 77, 58, 17, 21, 37, 48, 45, 62, 22, 57, 32, 65, 45, 45, 53, 33, 29, 38, 59, 71, 73, 57, 76, 73, 15, 57]\n"
     ]
    }
   ],
   "source": [
    "import random as rnd\n",
    "x = [\n",
    "    rnd.randint(10, 80)\n",
    "    for i in range(0, 100)\n",
    "]\n",
    "print(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "909d31a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Slide 6 ( Descriptive statistics: An intro Characterize distributions with Python )\n",
    "\n",
    "# Exercise 2\n",
    "# Create histogram for above datasets.\n",
    "# Which value for bins should be used? Why?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "b06ac7a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# bins 12\n",
    "plt.hist(x, bins=12,  range=[10, 80])\n",
    "plt.yticks(range(0, 25, 5))\n",
    "plt.xticks(range(10, 90, 10))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "35616bae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# bins 15\n",
    "plt.hist(x, bins=15,  range=[10, 80])\n",
    "plt.yticks(range(0, 25, 5))\n",
    "plt.xticks(range(10, 90, 10))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "05d6ba92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# bins 10\n",
    "plt.hist(x, bins=10,  range=[10, 80])\n",
    "plt.yticks(range(0, 25, 5))\n",
    "plt.xticks(range(10, 90, 10))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "3df2d67a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Which value for bins should be used? Why?\n",
    "# 10 bins is a good choice for the given dataset because it allows for a balance between detail and \n",
    "# readability.\n",
    "# With fewer bins, the data would be overgeneralized and important patterns could be lost. \n",
    "# With more bins, the data would be too granular and it would be difficult to see any meaningful trends.\n",
    "# Here are some additional things to consider when choosing the number of bins for a histogram:\n",
    "# --The number of data points: The more data points you have, the more bins you can use without \n",
    "# losing detail.\n",
    "# -- The range of the data: The wider the range of the data, the more bins you will need to accurately \n",
    "# represent the distribution.\n",
    "# -- The skewness of the data: If the data is skewed, you may want to use more bins on the side of \n",
    "# the distribution with more data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "da882161",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Slide 6 ( Descriptive statistics: An intro Characterize distributions with Python )\n",
    "\n",
    "# Exercise 3\n",
    "# N = 1000; a= 20; b=60;\n",
    "# What is n in this case?\n",
    "# Answer :\n",
    "# In the context of a probability mass function (PMF), \"N\" typically represents the total number of \n",
    "# possible outcomes, while \"a\" and \"b\" represent specific values or intervals within the sample space. \n",
    "# The value of \"n\" generally refers to the number of possible outcomes within the specified interval \n",
    "# or range.\n",
    "# Given:\n",
    "# N = 1000 (total number of possible outcomes)\n",
    "# a = 20 (minimum value or starting point of the interval)\n",
    "# b = 60 (maximum value or endpoint of the interval)\n",
    "# In this case, \"n\" represents the number of outcomes within the interval [a, b].\n",
    "\n",
    "# Explain how the average value about 100 can be found from 1/n?\n",
    "# Answer :\n",
    "# n = b - a + 1 = 60 - 20 = 40 + 1 = 41\n",
    "# Average Value = N * 1/n * the width of the bins = 1000 * 1/41 * 4 = 97,5609"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "997a4e54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000; a = 20; b = 60; x = []\n",
    "for i in range(N):\n",
    "    xi = rnd.randint(a,b)\n",
    "    x.append(xi)\n",
    "plt.hist(x, bins=10)\n",
    "plt.xticks(range(20, 64,4))\n",
    "plt.xlim([20,60])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "b8b397da",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Slide 6 ( Descriptive statistics: An intro Characterize distributions with Python )\n",
    "\n",
    "# Exercise 4\n",
    "# Throw a dice 6000 times.\n",
    "# What would the histogram look like?\n",
    "# What is the value in each bins, if we choose bins = 6?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "238048a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 6000; a=1; b=6; dice = []\n",
    "for i in range(N):\n",
    "    xi = rnd.randint(a, b)\n",
    "    dice.append(xi)\n",
    "plt.hist(dice, bins=6)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "820f74b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# if we choose bin = 6, The value is 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "3cb072c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Slide 6 ( Descriptive statistics: An intro Characterize distributions with Python )\n",
    "\n",
    "# Exercise 5\n",
    "import numpy as np\n",
    "mu = 100\n",
    "si = 10\n",
    "N = 100000\n",
    "values = np.random.normal(mu, si, N)\n",
    "\n",
    "plt.subplot(3,3,1)\n",
    "plt.hist(values, 100)\n",
    "plt.axvline(values.mean(), color='r')\n",
    "plt.xlim([60,340])\n",
    "plt.title(\"mu = 100\")\n",
    "\n",
    "mu = 200\n",
    "si = 10\n",
    "N = 100000\n",
    "values = np.random.normal(mu, si, N)\n",
    "\n",
    "plt.subplot(3,3,4)\n",
    "plt.hist(values, 100)\n",
    "plt.axvline(values.mean(), color='r')\n",
    "plt.xlim([60,340])\n",
    "plt.title(\"mu = 200\")\n",
    "\n",
    "mu = 300\n",
    "si = 10\n",
    "N = 100000\n",
    "values = np.random.normal(mu, si, N)\n",
    "\n",
    "plt.subplot(3,3,7)\n",
    "plt.hist(values, 100)\n",
    "plt.axvline(values.mean(), color='r')\n",
    "plt.xlim([60,340])\n",
    "plt.title(\"mu = 300\")\n",
    "\n",
    "mu = 100\n",
    "si = 5\n",
    "N = 100000\n",
    "values = np.random.normal(mu, si, N)\n",
    "\n",
    "plt.subplot(3,3,3)\n",
    "plt.hist(values, 100)\n",
    "plt.axvline(values.mean(), color='r')\n",
    "plt.xlim([60,340])\n",
    "plt.title(\"si = 5\")\n",
    "\n",
    "mu = 100\n",
    "si = 10\n",
    "N = 100000\n",
    "values = np.random.normal(mu, si, N)\n",
    "\n",
    "plt.subplot(3,3,6)\n",
    "plt.hist(values, 100)\n",
    "plt.axvline(values.mean(), color='r')\n",
    "plt.xlim([60,340])\n",
    "plt.title(\"si = 10\")\n",
    "\n",
    "mu = 100\n",
    "si = 20\n",
    "N = 100000\n",
    "values = np.random.normal(mu, si, N)\n",
    "\n",
    "plt.subplot(3,3,9)\n",
    "plt.hist(values, 100)\n",
    "plt.axvline(values.mean(), color='r')\n",
    "plt.xlim([60,340])\n",
    "plt.title(\"si = 20\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5bec9261",
   "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": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}