diff --git a/main.ipynb b/main.ipynb new file mode 100644 index 0000000..acead9d --- /dev/null +++ b/main.ipynb @@ -0,0 +1,1092 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Understanding Descriptive Statistics\n", + "\n", + "Import the necessary libraries here:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import random" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 1\n", + "#### 1.- Define a function that simulates rolling a dice 10 times. Save the information in a dataframe.\n", + "**Hint**: you can use the *choices* function from module *random* to help you with the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Roll\n", + "0 6\n", + "1 4\n", + "2 3\n", + "3 3\n", + "4 1\n", + "5 1\n", + "6 2\n", + "7 5\n", + "8 4\n", + "9 5\n" + ] + } + ], + "source": [ + "def simulate_dice_rolls():\n", + " rolls = [random.choice(range(1, 7)) for _ in range(10)]\n", + " df = pd.DataFrame({'Roll': rolls})\n", + " return df\n", + "\n", + "dice_rolls_df = simulate_dice_rolls()\n", + "\n", + "print(dice_rolls_df)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 2.- Plot the results sorted by value." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Sort the dataframe by 'Roll' column\n", + "sorted_df = dice_rolls_df.sort_values('Roll')\n", + "\n", + "# Plot the sorted results\n", + "plt.plot(sorted_df.index, sorted_df['Roll'], marker='o')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Value')\n", + "plt.title('Sorted Dice Roll Results')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 3.- Calculate the frequency distribution and plot it. What is the relation between this plot and the plot above? Describe it with words." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Calculate the frequency distribution\n", + "frequency = dice_rolls_df['Roll'].value_counts().sort_index()\n", + "\n", + "# Plot the frequency distribution\n", + "plt.bar(frequency.index, frequency.values)\n", + "plt.xlabel('Value')\n", + "plt.ylabel('Frequency')\n", + "plt.title('Dice Roll Frequency Distribution')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "The first plot represents more of a visualization of a roll values sorted in ascending order. Its a visual representations\n", + "of how the roll values are distributed across the ten rolls.\n", + "The second plot represents more clear vision of how frequent each rolls are. So we can clearly see how many times they\n", + "occured in one rolling.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 2\n", + "Now, using the dice results obtained in *challenge 1*, your are going to define some functions that will help you calculate the mean of your data in two different ways, the median and the four quartiles. \n", + "\n", + "#### 1.- Define a function that computes the mean by summing all the observations and dividing by the total number of observations. You are not allowed to use any methods or functions that directly calculate the mean value. " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_mean(observations):\n", + " total_sum = 0\n", + " num_observations = 0\n", + "\n", + " for observation in observations:\n", + " total_sum += observation\n", + " num_observations += 1\n", + "\n", + " mean = total_sum / num_observations\n", + " return mean\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 2.- First, calculate the frequency distribution. Then, calculate the mean using the values of the frequency distribution you've just computed. You are not allowed to use any methods or functions that directly calculate the mean value. " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_mean_from_frequency(frequency):\n", + " total_sum = 0\n", + " total_observations = 0\n", + "\n", + " for value, count in frequency.items():\n", + " total_sum += value * count\n", + " total_observations += count\n", + "\n", + " mean = total_sum / total_observations\n", + " return mean\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 3.- Define a function to calculate the median. You are not allowed to use any methods or functions that directly calculate the median value. \n", + "**Hint**: you might need to define two computation cases depending on the number of observations used to calculate the median." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_median(observations):\n", + " sorted_observations = sorted(observations)\n", + " num_observations = len(sorted_observations)\n", + "\n", + " # Case 1: Odd number of observations\n", + " if num_observations % 2 != 0:\n", + " median_index = num_observations // 2\n", + " median = sorted_observations[median_index]\n", + " \n", + " # Case 2: Even number of observations\n", + " else:\n", + " upper_median_index = num_observations // 2\n", + " lower_median_index = upper_median_index - 1\n", + " median = (sorted_observations[lower_median_index] + sorted_observations[upper_median_index]) / 2\n", + "\n", + " return median\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 4.- Define a function to calculate the four quartiles. You can use the function you defined above to compute the median but you are not allowed to use any methods or functions that directly calculate the quartiles. " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_quartiles(observations):\n", + " sorted_observations = sorted(observations)\n", + " num_observations = len(sorted_observations)\n", + "\n", + " # Calculate Q2 (median)\n", + " q2 = calculate_median(sorted_observations)\n", + "\n", + " # Calculate Q1\n", + " if num_observations % 2 != 0:\n", + " lower_half = sorted_observations[:num_observations // 2]\n", + " else:\n", + " lower_half = sorted_observations[:num_observations // 2]\n", + "\n", + " q1 = calculate_median(lower_half)\n", + "\n", + " # Calculate Q3\n", + " if num_observations % 2 != 0:\n", + " upper_half = sorted_observations[num_observations // 2 + 1:]\n", + " else:\n", + " upper_half = sorted_observations[num_observations // 2:]\n", + "\n", + " q3 = calculate_median(upper_half)\n", + "\n", + " # Calculate Q4\n", + " q4 = sorted_observations[-1]\n", + "\n", + " return q1, q2, q3, q4\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 3\n", + "Read the csv `roll_the_dice_hundred.csv` from the `data` folder.\n", + "#### 1.- Sort the values and plot them. What do you see?" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Unnamed: 0 roll value\n", + "0 0 0 1\n", + "1 1 1 2\n", + "2 2 2 6\n", + "3 3 3 1\n", + "4 4 4 6\n", + ".. ... ... ...\n", + "95 95 95 4\n", + "96 96 96 6\n", + "97 97 97 1\n", + "98 98 98 3\n", + "99 99 99 6\n", + "\n", + "[100 rows x 3 columns]\n" + ] + } + ], + "source": [ + "data = pd.read_csv(\"C:/Users/Vladimir/Desktop/Ironhack_labs/Week03/Week03/Descriptive-Stats/data/roll_the_dice_hundred.csv\")\n", + "\n", + "\n", + "\n", + "\n", + "sorted_data = data.sort_values('value')\n", + "\n", + "\n", + "plt.plot(sorted_data.index, sorted_data['value'], marker='o')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Value')\n", + "plt.show()\n", + "print(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nWe can see how many times each value is represented in the dataframe. We can see also on what place in the dataframe is each value.\\n'" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"\n", + "We can see how many times each value is represented in the dataframe. We can see also on what place in the dataframe is each value.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 2.- Using the functions you defined in *challenge 2*, calculate the mean value of the hundred dice rolls." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Unnamed: 0 roll value\n", + "0 0 0 1\n", + "1 1 1 2\n", + "2 2 2 6\n", + "3 3 3 1\n", + "4 4 4 6" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.74" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_mean(data[\"value\"])\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 3.- Now, calculate the frequency distribution.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "49.29946524064171" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_mean_from_frequency(data[\"value\"])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 4.- Plot the histogram. What do you see (shape, values...) ? How can you connect the mean value to the histogram? " + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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6OjpibgAA4NyV3B8PunHjRtXX12vXrl19zrW0tEiSAoFAzPFAIKADBw6c9PHKy8v1yCOPeD8oAAAwyfMrKM3NzVq8eLGefvpppaSkfO46n88Xc9851+fYCSUlJWpvb4/empubPZ0ZAADY4vkVlPr6erW2tiovLy967NixY9q2bZuqqqq0b98+ScevpIwcOTK6prW1tc9VlRP8fr/8fr/XowIAAKM8v4Jy7bXXas+ePWpoaIjeJk2apNmzZ6uhoUFjx45VMBhUTU1N9Gt6enpUW1ur/Px8r8cBAAAJyPMrKOnp6crNzY05NnjwYGVmZkaPFxcXq6ysTDk5OcrJyVFZWZnS0tI0a9Ysr8cBAAAJqF9eJPtlli5dqu7ubs2fP19tbW2aPHmytm7dqvT09HiMAwAAjDkrgfLaa6/F3Pf5fAqHwwqHw2fj6QEAQILhs3gAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBzPA6W8vFxXXHGF0tPTNWLECN1yyy3at29fzBrnnMLhsEKhkFJTU1VYWKjGxkavRwEAAAnK80Cpra3VggUL9Je//EU1NTU6evSoioqK9Mknn0TXrFq1ShUVFaqqqtLOnTsVDAY1depUdXZ2ej0OAABIQMleP+CLL74Yc3/9+vUaMWKE6uvrdfXVV8s5p8rKSpWWlmrGjBmSpA0bNigQCKi6ulpz5871eiQAAJBg+v01KO3t7ZKkYcOGSZKamprU0tKioqKi6Bq/36+CggLV1dWd9DEikYg6OjpibgAA4NzVr4HinNOSJUs0ZcoU5ebmSpJaWlokSYFAIGZtIBCInvus8vJyZWRkRG9ZWVn9OTYAAIizfg2UhQsX6u2339bvfve7Pud8Pl/Mfedcn2MnlJSUqL29PXprbm7ul3kBAIANnr8G5YRFixZpy5Yt2rZtm0aNGhU9HgwGJR2/kjJy5Mjo8dbW1j5XVU7w+/3y+/39NSoAADDG8ysozjktXLhQmzZt0iuvvKLs7OyY89nZ2QoGg6qpqYke6+npUW1trfLz870eBwAAJCDPr6AsWLBA1dXVev7555Wenh59XUlGRoZSU1Pl8/lUXFyssrIy5eTkKCcnR2VlZUpLS9OsWbO8HgcAACQgzwNlzZo1kqTCwsKY4+vXr9c999wjSVq6dKm6u7s1f/58tbW1afLkydq6davS09O9HgcAACQgzwPFOfela3w+n8LhsMLhsNdPDwAAzgF8Fg8AADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwJzkeA9gUWb3eTr4t/3qPa8r3qOckg+6Dml0x9cSamYAgG1Dh2bqgjH/EbfnJ1A+4+NDh/Tf7/9A894fKOl/4j3OKRoo6fua96GUODMDACxL1Qd66XuKW6QQKJ/R1d6lbqXox5cf1pX/eUm8xzklH3Qd0urdv9Siifdr1HmheI8DAEhw7x5oVvEbKWpr+weBYk0oNFy5l10Z7zFOyYB/vKOD//U/Gj3+PzUhc0K8xwEAnAveiO8VeV4kCwAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADmxDVQHn/8cWVnZyslJUV5eXl6/fXX4zkOAAAwIm6B8swzz6i4uFilpaXavXu3vvGNb+hb3/qWDh48GK+RAACAEXELlIqKCt133336zne+o/Hjx6uyslJZWVlas2ZNvEYCAABGJMfjSXt6elRfX6/ly5fHHC8qKlJdXV2f9ZFIRJFIJHq/vb1dktTR0eH5bJ98ckS9kYH65JNP++Xx+0NXZ5eOdR/T3g/2qquzK97jAAASXPN/v6veyEB1dXV5+rvwxGM55750bVwC5aOPPtKxY8cUCARijgcCAbW0tPRZX15erkceeaTP8aysrH6b8duV/fbQ/WamZsZ7BADAOeTrlf3zuJ2dncrIyPjCNXEJlBN8Pl/Mfedcn2OSVFJSoiVLlkTv9/b26uOPP1ZmZuZJ15+Jjo4OZWVlqbm5WUOGDPH0sRGLvT572Ouzh70+e9jrs8ervXbOqbOzU6FQ6EvXxiVQhg8frqSkpD5XS1pbW/tcVZEkv98vv98fc+z888/vzxE1ZMgQfuDPEvb67GGvzx72+uxhr88eL/b6y66cnBCXF8kOGjRIeXl5qqmpiTleU1Oj/Pz8eIwEAAAMidufeJYsWaK77rpLkyZN0te//nWtXbtWBw8e1Lx58+I1EgAAMCJugTJz5kz94x//0IoVK3T48GHl5ubqhRde0JgxY+I1kqTjf056+OGH+/xJCd5jr88e9vrsYa/PHvb67InHXvvcqbzXBwAA4Czis3gAAIA5BAoAADCHQAEAAOYQKAAAwBwC5d88/vjjys7OVkpKivLy8vT666/He6SEV15eriuuuELp6ekaMWKEbrnlFu3bty9mjXNO4XBYoVBIqampKiwsVGNjY5wmPneUl5fL5/OpuLg4eoy99s6HH36oO++8U5mZmUpLS9Nll12m+vr66Hn22htHjx7VQw89pOzsbKWmpmrs2LFasWKFent7o2vY69O3bds23XjjjQqFQvL5fHruuedizp/K3kYiES1atEjDhw/X4MGDddNNN+mDDz448+EcnHPObdy40Q0cONCtW7fOvfPOO27x4sVu8ODB7sCBA/EeLaFdf/31bv369W7v3r2uoaHBTZs2zY0ePdp1dXVF1zz66KMuPT3dPfvss27Pnj1u5syZbuTIka6joyOOkye2HTt2uAsvvNBdcsklbvHixdHj7LU3Pv74YzdmzBh3zz33uL/+9a+uqanJvfTSS+7dd9+NrmGvvfGTn/zEZWZmuj/+8Y+uqanJ/f73v3fnnXeeq6ysjK5hr0/fCy+84EpLS92zzz7rJLnNmzfHnD+VvZ03b5674IILXE1NjXvzzTfdNddc4y699FJ39OjRM5qNQPn/rrzySjdv3ryYY+PGjXPLly+P00TnptbWVifJ1dbWOuec6+3tdcFg0D366KPRNf/6179cRkaGe+KJJ+I1ZkLr7Ox0OTk5rqamxhUUFEQDhb32zrJly9yUKVM+9zx77Z1p06a5e++9N+bYjBkz3J133umcY6+99NlAOZW9/ec//+kGDhzoNm7cGF3z4YcfugEDBrgXX3zxjObhTzySenp6VF9fr6KiopjjRUVFqquri9NU56b29nZJ0rBhwyRJTU1Namlpidl7v9+vgoIC9v40LViwQNOmTdN1110Xc5y99s6WLVs0adIk3XrrrRoxYoQmTpyodevWRc+z196ZMmWKXn75Ze3fv1+S9NZbb2n79u264YYbJLHX/elU9ra+vl6ffvppzJpQKKTc3Nwz3v+4fpqxFR999JGOHTvW54MKA4FAnw80xOlzzmnJkiWaMmWKcnNzJSm6vyfb+wMHDpz1GRPdxo0bVV9fr127dvU5x15757333tOaNWu0ZMkS/fCHP9SOHTt0//33y+/36+6772avPbRs2TK1t7dr3LhxSkpK0rFjx7Ry5Urdcccdkvi57k+nsrctLS0aNGiQhg4d2mfNmf7+JFD+jc/ni7nvnOtzDKdv4cKFevvtt7V9+/Y+59j7M9fc3KzFixdr69atSklJ+dx17PWZ6+3t1aRJk1RWViZJmjhxohobG7VmzRrdfffd0XXs9Zl75pln9NRTT6m6uloXXXSRGhoaVFxcrFAopDlz5kTXsdf953T21ov95088koYPH66kpKQ+tdfa2tqnHHF6Fi1apC1btujVV1/VqFGjoseDwaAksfceqK+vV2trq/Ly8pScnKzk5GTV1tbql7/8pZKTk6P7yV6fuZEjR2rChAkxx8aPH6+DBw9K4ufaSw8++KCWL1+u22+/XRdffLHuuusuPfDAAyovL5fEXvenU9nbYDConp4etbW1fe6a00WgSBo0aJDy8vJUU1MTc7ympkb5+flxmurc4JzTwoULtWnTJr3yyivKzs6OOZ+dna1gMBiz9z09PaqtrWXvv6Jrr71We/bsUUNDQ/Q2adIkzZ49Ww0NDRo7dix77ZGrrrqqz9vl9+/fH/2wU36uvXPkyBENGBD7qyopKSn6NmP2uv+cyt7m5eVp4MCBMWsOHz6svXv3nvn+n9FLbM8hJ95m/Otf/9q98847rri42A0ePNi9//778R4toX3ve99zGRkZ7rXXXnOHDx+O3o4cORJd8+ijj7qMjAy3adMmt2fPHnfHHXfwFkGP/Pu7eJxjr72yY8cOl5yc7FauXOn+/ve/u6efftqlpaW5p556KrqGvfbGnDlz3AUXXBB9m/G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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(data, bins = 10, histtype = 'step')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Unnamed: 0rollvalue
\n", + "
" + ], + "text/plain": [ + "Empty DataFrame\n", + "Columns: [Unnamed: 0, roll, value]\n", + "Index: []" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = data[data['value']>6]\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "We distributed numbers into 10 bins, and we can see that we have numbers only in the first bin which appears to be numbers\n", + "that are smaller than 10. When i took the closer look on column there are no numbers bigger than 6.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 5.- Read the `roll_the_dice_thousand.csv` from the `data` folder. Plot the frequency distribution as you did before. Has anything changed? Why do you think it changed?" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Unnamed: 0 roll value\n", + "0 0 0 5\n", + "1 1 1 6\n", + "2 2 2 1\n", + "3 3 3 6\n", + "4 4 4 5\n", + ".. ... ... ...\n", + "995 995 995 1\n", + "996 996 996 4\n", + "997 997 997 4\n", + "998 998 998 3\n", + "999 999 999 6\n", + "\n", + "[1000 rows x 3 columns]\n" + ] + } + ], + "source": [ + "data = pd.read_csv(\"C:/Users/Vladimir/Desktop/Ironhack_labs/Week03/Week03/Descriptive-Stats/data/roll_the_dice_thousand.csv\")\n", + "data\n", + "sorted_data = data.sort_values('value')\n", + "\n", + "\n", + "plt.plot(sorted_data.index, sorted_data['value'], marker='o')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Value')\n", + "plt.show()\n", + "print(data)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "In the comparison visualy its not very clear as with hundreds. If the picture scaled the same way the number of the inputs\n", + "scaled then it would be much cleaner.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 4\n", + "In the `data` folder of this repository you will find three different files with the prefix `ages_population`. These files contain information about a poll answered by a thousand people regarding their age. Each file corresponds to the poll answers in different neighbourhoods of Barcelona.\n", + "\n", + "#### 1.- Read the file `ages_population.csv`. Calculate the frequency distribution and plot it as we did during the lesson. Try to guess the range in which the mean and the standard deviation will be by looking at the plot. " + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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mzcPixYtRV1eHuro6LF68GB6PB7Nnz86gxHQNnkKRM2tsVdL2LHpgGAZFbjuK3HbUVyi7ZPCHeDR7A9Elq/e3H8XrG47oLifEE4R4PhJvKjlfN2bisLFwxilH8QqWXOlyxildfZQouTLGJVaiYq/tVbpsOmJn5SpG+3Pa/2cnGd+avWLFClx00UXYsWMH6uvrY85JTvP+9Kc/xTjNGzt2rO78zd6arbQGT2PEUE50su3X6qd7juOqP3+mme4v15yG8TXFCPICgmHxLxD5C4aFmONBnkcg1HtMnkY8zsvSJshLShuWpYscC/FZ4yWjDywDmRLFxc5QJZiRcthilaNEs1nxM1p9ZrMSzH5JiphZS4JG+3Pa/6cXGptJhpnKjJZPDQZiwLwVt55DpxwplAzDCwQzH1mFZm9A0Z4nm95XgZA+ylMgRlGKVarkylS84hWjLKkoVYnSZrNSJWFjmQSzUBElKjJLJc0qKc1m2TgGz63Zp+i8EQAG5Dnw1JxT4XFw4FgGP3pmLY51JQ6eSv0dmQ9VZmSYqczo/aVHoVAolBOTl66fmlUxwrJtxtQIOek0LxegsV8oFAqFokY2jRMnkn0PVWYMoNenxj3fHIXhA/PhD4lTuIGQAH+Yhz/Ewx8Sev9HjgXCAgLyc+HYdFIeQV6w+A61sXMMXDYOTjsHl52FS/pv4+Cyi2vaLjsHp3TOFpvOKfvujDnXe62Un9POgkH6fkGs2NaEeS9vUFwPf/TKCbhwdGXa5KGYBy8QfLW/Fcc6AxhY4MSpQ3Ln1+mJQrrfvydW7sLjOmJ+Pf/j0zG5dgDWNhzHNc9+oZk+W2KEnWg+lqgyYwC9PjWuPbPWko6SFwgCMYpOr7IjKUcxSlGIhz8s9FGmAn0UJlGh6pNfiEdYiL1TccdHGJ0q68xmIldwYpQfm0xhiipCvUpVVGGyc3DZ2Oh/Kb0rTtmysSyWvL1d0ScJA+B373yNb55STQfBHGX6yeWZFoGiAC8Q/O6dr9P2/vECwStfHdJMV1Xkwll1A8GxDM6qG6ir/59cW5qyfKnCCwQL39ymWp8L39yGmaMr+01/Rm1mDCJpu0Binxr9TdsN80JEIRIVoxglSqYUBeJmk6QZpkDkcyDu2uh18cpUWAAvZG+TLHbb4bAlt02VEIIQTyAQApZhctaXSH+5D6vJpnoiAASBIMQLCAsEYZ5kxUwvJbNkm31PPNRmxkKs9qmRbdg4Fvkci3xn+ppKiI9VigIaCpNfpjAF+ihMseeVFCu9Kn27L/P+RygUCsUMssm+J1WoMpMEs8ZWYeboypy1EM927BwLO8ciXUvPhBB8tOsYfvQX7fXwJd8di1MGFxvKf83uFix++2vF83ddPBLTRpQZyjMTJHsfhIjbjkM8QTiy9TckCAhHvgf5yGdBQDByLBxJEwqLx8XlTUG8XpDlo3BtkBcQjpQRiqRNeK1AsnomMBsQneYx0e3QNlb8bo94Kraxkf+R73aOhY0Vv/dey8JhYxSvPdzuw0trD2rKctM5wzC8PD/le9rT3IWnV+9NujyBEDQc64bXH0Khy47agXlgs2h2Uu/9ZYt9jxlQZSZJOJbJ6uk5in4YhsG0EfrWw6847SRDSisvEPzP818qlw3g2TX7cN1ZwxTzFQT54B8Z5PnYgbp3+SBWOZAP+NFBXZAN7nHHYpSDiCIR5gmCYR6rd7Wo3uvSd75GWb4TfMRfSn9fzhAHbCaqfNtYccA/GgmeqYTTxuK8kwfCbuPEwT9+gOdY2NmIUhAd9BnYbWw0rago9CoHkpdeWyQ/uy2BkhFTDptVP754geDDHcc037/bZo00zWbm9Y1H0lZeutF7f9lg32MWVJmhUJB6jCEl1ja0KjpZRKScxg4/zvzd++AYJqdnDngCHO1M7FAsF7D3UQ56FQK5YiEpAolagtcXwhGV5w0AgbCAaXUDMWNUOcrynbBnOFRANvghser9y5byrELp2fWX+zMCNQCmUGSY7Zfh9Q2HccvLG0yUkNKfYBig1ONAeaEL5QVO8a/QiYrI94EFYvTvgQVOOG2c6eVnmx+SdMuTbfdvBD2y5/L9AdQDcAxUmaEYxcxfqnq9Rv/ighGqQRQzzc6jnfjD+7s102X7fViN3noqzbPD6wv3cX2gRrHHjvICUdEZWOBEeYEr+r28MKIIFbjgduhTerI1zlC6Z4qyYWbKKEaeXS7enwRVZmRQZYaSSaR4Xlpr19kez6W/3IfVGKknBkBbTxBHvQE0d/rR3BlAs1f6Lx476g3gWGfAkN1RgcsWVWwqCp29sz6y2Z8B+U7MenS1apw5+jyzEz0xAvvLs6NbsymULKG/rF33l/uwGqP1NCBfVCxGQ7mjJoSgwxfqVXq8ATR3BnDU68exzl6lp7nTD39IQKc/jE5/GHuOdSd9H5It1/V//QIVhf1nx0t/4KjXr8sOb21D6wm1SYXOzGQxuTw9SIkl19euJfrLfVhNJuqJEILOQFhUdqQZnqiiIx47FlGCuoO8JTJQsofHrpyAyyYMyrQYKUGXmWTkqjJDB43+R39RTvvLfVhNNtfTyq+b8ePntP0qXXHaYJxU6kmDRLnFzqOd+ODrY+iShXXJd9pw/siBmjZjYYGgsd2PQ+09ONjqw5F2nyHbKb1ku3dfPVBlRkYuKjPZaphHoVD6B9QGKnm0+ucnZk/CpCElONjWg0NtosJysLUn8t2Hxg6/prsFt51DTakbNSUe1JR6MLjEjcElHtSUulFV5MYlf/johHh21GYmh9EKEAYAt7+yCfuOd2eVx0kKhZJbnDF8AF5ddzjhORI5/8zH2l5kTyQEQvDEyj2q/fPcF9dp5uPgWFFBiSgqNRFFZXCJBzUlbpTmOVTjeFH7tb7QmZksghcInlvTgPvf2p5pUSgUCoWSJCwDVBfHKSmRmZbBJR6UFzjBpqhsnAimCHRmJgdJ1DDVGFzshsvBIRgWAzCKQRaNBU3MRRhGdAfvtHHif7v42cFJn3vPtXYHsfVIB3yh3m2tbjuLUwYXY1CJO4N3kTyH23zYdKjdsnuyOv9sLftEhhCClq4g/CEeLjuHsvzYWQHaJno52NqDL/a1aab73++Px3cmDbZUFhojMBY6M5MFKK3BqqFk3EUIQVgg0QjSgbAQ+eMRCImfYxQg2fE+nyMKkvQ5GFY+Jy/PCmM2s6kpcWNggROOGMUo8l86FqccRRWnaBr1dFIateliI1htS5VJWy1qJ5ad0DYRi14nmP3B+DYboAbAMrJdmdFygJQIt53DN0+pylqbmbAgBhcMhPjI/zilJ4HS1L9bYXpIpV0IhOA/mxrhCylv2bWq3WWybIoy2dwmMmXkSg2n0wtVZmRkuzKjV9OnUCgUSiyZmAGRZoyAxMa32TSLmM3uAfRAbWZyiOZO/TMyFAqFQuklE/3nrLFVeGrOpD42jpVZZnx7IhgIy6HKTIYpL9DnKvyeS0bh2mm1GdWqjaxha9kBnTK4CAzD4JjXj2NdAYR4/ROEbjsXDawnBdwbWND7vanDjzte3ayZjxm/6tK1rm/1Wn0mbQGoHUJ2kgttQm//aTbZbnyr1C81dfjx0xfWZdXskVlQZSbDTK4tRVWRS3MNNtOKjB7/N7f+fSP+3+cH0Oz1Y1dzl6pB86ZDHarl5Tk4lBf2KilyhSXPaYPSEn0gLKDIbUeJx462npBi/iUeO9p7gvjv1iZVOdQQBIK7XtusWid3vroZhCDlbZiCQCy9J6vzz9ayKcrQNqEPl52D1x/Ce9uPZlQOCa1+iQGw8M1tmDm6MmuULzOgNjNZgNIarMStM+px8/kjMtrwqG0PhUKh9B9yYaaT2szkGEprsBKPvLcTL39xwPS1TkIIeoI8jncFcbw7gONdQbR2B9Ei/9wVQGt3EIfafKaVS6FQKJTM0t/sNakykyVIa7CPf7ALj7y3q895vWud/hCP491BHO8KRJQU8bOomIhKS2t3MKrA+GXOqMzgZ+cNR6HLjiXvfK2ZNh2/DKy05s+UTYHVOxQyuQMiG3dfZKO/k3RD20TukO32RlZBlZks4+UvDiY8LnWkd/xrMw609qCtJxSrsHQH0NoVRHdQ2SeEEg4biwF5DgzId2BAnjP6uTTPiQH5DpTlO1DkduCmF75CS2dA1bZn3gX1AIBn1+zDUa+6HdBpQ0ogWOxgjwEwpbY05phZZZ42pASVha6036eV95SO/LO17ETwAsF9byjbivVX+4N4OJbJ2JJEJsvORfTaYU6Oe89yHWozkwb0/rKgdikUSm6SC/YH6YDOomQHueQLRw1qM5NFGNnr39/WMCmUEwX67p54fk2ymVzxhWMmGVdmDh8+jAULFuCdd96Bz+dDfX09nnnmGZx66qkARCPVhQsXYtmyZWhra8OUKVPwxBNPYMyYMRmWXBuje/31rmH++Yen4rShmZsi5AWC9QfacKwrgIH5Tkw8qUTx11eitCzLgBcIeIEgxAvgBTGeVFgQEObFz7zsc1ggCPNC5LjsGlnaEB85JwjgeVl+kXR8n/x78xGvjU0bEuRlKOcjyRXmBRhwlXPC4bKxcDk48AJBpz+smK62zIOBBS7YWAYcy8DOsZH/DDiWhY1lxD+OgY0Vz4nfWdlxMa14Te85tXyk87H5sNh8uAO/+udGzfvrb/YHRjkR/ZpkO9nuC8dsMqrMtLW1Ydq0aTjvvPPwzjvvoLy8HHv27EFxcXE0zYMPPoiHH34Yzz33HOrr67Fo0SLMnDkTO3bsQEFBQeaE10DLL0uitfbTh6rbYADAwAInqkvcONzu6zuwxg/sckWBjz0XMxBHBusYJSDBoB87eMsG9rhBP0YJUMjnRIZhALs0ECcYfKUBXBpUOZaFPTrYxg6+0bRa+bCsLE28ApBgsJelVcrHxrLgOAYsgMueWIPmzkDi+wVQkufAqtvOw/SHVioqMwwAf0jAS9dPzZoOd0R5Pv53xY4Tzv7ACMn0dZT0cCLZG2XUZuaOO+7AmjVr8NFHHyU8TwhBdXU15s2bhwULFgAAAoEAKioqsHTpUtx44419rgkEAggEejtVr9eLmpqatNvM6LV/cdpYECA6U0HJfVgGcQpCZHaBZcTB3+JgiYSIUdN5gYBjGVMid/MCgT8kwB/i0RMMgzZVilHi7YpORPuaE/GeUyFnbGbeeOMNXHTRRfj+97+PVatWYdCgQZg7dy6uv/56AEBDQwOamppw4YUXRq9xOp2YPn06Pvnkk4TKzJIlS7Bw4cK03YMSetfQA2Fzt0ZTMo9AgGBYQDDTglAoWYS8TzwR7WtOxHtOJxlVZvbu3YunnnoK8+fPx1133YW1a9fiF7/4BZxOJ370ox+hqUl0U11RURFzXUVFBfbv358wzzvvvBPz58+PfpdmZtKN3jX0hd8ag7GDivoc5wWC7Y1etPUEUeJxYFRVIdXgdfLZ3uN46L87krr2totOxtRhZk7LijY5vhAPXzDyF5L9lx3viXyWZj98spkQ8biAIJ+7yu/4wYXYeMhr+LrLJw3CyKrMe+8WCMGB1h7sbOrE2n1tiumyRd50se94N1747IBmOqlPPBHta07Ee043GVVmBEHAaaedhsWLFwMAJk6ciK1bt+Kpp57Cj370o2i6+ClyQojitLnT6YTT6bROaJ3o3es/Z+oQRSXlRF6HTxZeILj5xXVJX//cmn2YUluKIC8pEnIFI04RiSgg/sj3nki66OfI+WxZPnTaWFw0pgIehw0uOwePg4PbzsHtiPzZZd/tHDwOG9wONpLWBredg9PG9okzxQsEZy39QLOt//OmaZj+0ErFdIlgAKzZcxxLLx+fFcq8dK9KZJu86YAXCN7f3qzLruhEtK85Ee85E2RUmamqqsLo0aNjjo0aNQr/+te/AACVlZUAgKamJlRV9Wqtzc3NfWZrsg2OZXDvpaPx0xfWgUHivf73Xjo6axqv2lpuMuu8mVobXtvQmjAkhF6OdQVw+dOfmiiR+ThtLNwODh47B1dE8QjzAnYc7VK9LhAWsL+1ByUeh+kyleY5FOudRM7f8LcvVdMpXdvY4cd3n1pjidxGaesJqspvlbyEELT7QgiGBThsLIrddsUfdEbSmoXW8+8OhHHyr9/RNP6X6m/4XW+bL2SWIt3z2obWE8ZY1woyqsxMmzYNO3bELgfs3LkTQ4YMAQDU1taisrIS7777LiZOnAgACAaDWLVqFZYuXZp2eY2SK3v91dZyARhe583k2vCJ4O8jEBYQCAtoh3JEYSU2HlSPVm4VW48YX16Skym5kyXX5LUar8p2fIrIidB3WUlGlZlbb70VZ555JhYvXowrrrgCa9euxbJly7Bs2TIA4vLSvHnzsHjxYtTV1aGurg6LFy+Gx+PB7NmzMym6brJ9r7/aWu5NLyRerlFb58302rAZ/j5umj4cI8rzTZAmfexu7sLTq/ZoprP63gRCsPdYNzr9IRS47Bg2MC/h7i0p3a7mTry/vVkz32x5Jumu582H2vH8p4ntAwHgmjOGYNzgYsNpBULg9YXQ1iMGlG3tDqKtO4TWniDauoNo7Qkik77hR1cVoshtz5wASXK8O4CdGjOkSpzovopSJaPKzOmnn47XXnsNd955J37729+itrYWjz76KK6++upomttvvx0+nw9z586NOs1bsWJFVvuYiSdb9/prreUqobTOmw1rw1q2SmpIa/u3XXRy1iibeuEFgtc3HNa0W8i2e9Nrb5MtcqeznnmB4H9XKBuyMwBWbDuKe745Gt1BHkuXqwd3fWntAXy8uwXtPaISk4wpF8MAxW47SvMcKM1zoMQT+Z/nQKkn8j/PjhKPGOetJM+OfKctusyl93m/+fOzsuJ5G0HLnkqNqhPcV5EZ0NhMJzBmxIKaNbYCVUVuAEBjhw/Ltxw1dI0V7DvejZVfH0vq2vNGDsTQAXkmS5QetO47W+8t1+ROl7x63ydK7nPrjHrcMqMu02JkHTnjZ4aSWcxYo02ms83mDlocpJJThLKdXL23XJM71+SlZJ6hZZ5Mi5DzUGXmBMaMNdpClw0CAQJhHqF+FpzIFokhReKO1ZS6UVHogtMmblV2RrYsi38cHDYWHJteWfcc68JHu1rQHeCjx5w2BoNLPGjs8KEn2OufJs/J4ey6MgwfmNimI1Feeq81S3aXncX0+jKMKM/e5WSBEDS2+9EdDCPPYUNVsctU786H23z494YjpuVHyV6ovUzqUGXmBMYM+5KPF5wfXdsOhgWc8+AHOOoNKOZX6nFg0bfHICQQBEICAmE+ujsnEJJ9DvOR871p/NJ5hevMjvmUKL+wQNDQ0oOGlh7Va+0c06vsJFB4nPb4z5JixOq/zsbCZWfx2d5WPLGyr1FqIEyw51h3n+M9AR7/3XIUT80ZlNCA+8mVexSfX7fKtcmgVF4gJGDF1mZ8Z+LgrNn1l254geDzhlZN+5KPF5wPALpsUeTvK8VctOyBEkFje5kHtZk5wZF2HwF9feGQBJ+l7wBUdzMlyk/pGrMI86KHXEkJ6gmGccWfPkVLFw0sYDUMAzg4Fo64GSoby0BpsoIQUTFUUkLpAGzsfcrku0cRUXoGiaDPRRsj4zdVZrIcyflcU4cPrd1BlOY7UVlo7vbubPAzY4WTPTMMnCmZ59sTqjFsYD4cNhYOTpy9kitODpnyFH/cYWPh5Ljo52xQivS0dXmafS09eGntATR5td+nbI7/o3Xf8vNl+U6AAC3dgaT7A14g+GzvcXy65zgAgjOGlWHq8AGWt4FEz6DEYwcB0N7T6xvKyufSXwJaUmVGRi4rM4leCgmzX4RMegC2qgN+fcNh3PLyhqSvp/Q/bCwTVWxiFSNONqvUqxTFKEYcF6dAxefDJcxbrnB9tOsYfr9iB456A1GZ4tt6ovehstCJqyafhKFleZrvUzYOZFrvuFpfF59Wb3l3vLo5RnkAgGKPHb/77jjLFbtEzwBAWp5LNiu0RqHKjIxcVWaUnM/JYZD7U5RK92nGFKzemZmXrp+KDl9Qs76VyOR0caqzTy9dPzXqA8nMmSypTn73vVNwVl0ZghHbp2BYiP5tPNSOpcu1A4JeNKYCpXlO8TpeQDCST0DKixdivov/eXHJMSxk1PmbEUo8dtg5Fs2dAcU0U2pLMWxgnupMVO8xrs9x+axWTBqub8wts9B6x284pxbLVjdo9nWAvnds+ZZGRYefEk/neL+phJX9aSagyoyMXFRmJEMyPTFs8pwcZk8+ydRdFOlCIAQvfn4A3cG+u2YkbCyDuvL8pGLLEEKwq7lL1TDYxjIYMTAPu491p2xAnIqsyaLnHpWIlzeVvPSWIUfv80mlTgkAXuhVoKI2VREFiGINHMvAaWNh5xh0+sOqDvribfLU0Orv9PQpAOBxsLh6ypCc7DeV0Lr3XLRBo8qMjFxUZqitB4VCoVCsQD4bm+0YGb/T7A2DogcacIxCoVAoVtBfxxfqZyYLMepAKZ2atplrsnpnoG6dUYdbZtSDEAJeIAjxBEFeQJgXEOIJQrwQ+RM/i+d6P4ciSwxfN3nR2h1EntOGQSXuSBqChmNd+MdXh4xVhAKFLvGVCvEEYUHoN44EjSwFxHP2iDJUF7thtzGwsaKthp2L/cyxDA63+eAL8SjxOFBfUQCXnYWdE/9sHANH3OdP9xzHb97Yqik3kFlbAT02HEZI9n3XY4cnYZY9nhWzzEr3n0w962kf6bZDSbY8vXXdXx30UWUmC5Gc2WnZzKTb4ZKewJR3v7YFRS67PmNCQlCa50Brt7ofmOc/2YfJQ0sNGyjaWAY2lgPsHABgYMHAhOkmDC7Ce183q8oxIM8BgRC0xe2OiE/z+FUTY+QkgKg0CaJSlUj5Uv8c+z0YlpQkAaFwJF/pMy9EyumbV6p2MKlc/dHulpTKTgVJbrVBzsYyigqTnWN7lTDZZzvHwmGLXMfGfrbbeq9lWeBPq/bqkrXYbRejWfvDqmkOt/Xg1XU+I9UAQSC4/63tup8jAXDHvzajyx9OyTBYEAiK3HZ0+JTfGyOKstL9S/dnFK1+SxAI7npti3l9ngZa5akF69VygtrfHfRRm5ksJdO7mRJtLVzb0EpteSgUCiXDqM1O9SfHiTTQZD9g1tgqPDVnUtr8zMhR8lNw8dhK08uiUCgUijGU7F6Uxo3KHPUzYwQ6M5PlpMMDsBy19Vq9DcXImr5RXzBW+48w6p1VnkavTUIu+KVRe4bS/b+3rQnPrNmnu2wz7zsZWwytX7PJ2kQYsUXRK5tWOySEIBAW4Avy6Anx8AXD6Any6Any8AV5dEe++yLHdh314tX1uRO0cnhZHqqKXCAQHd3VDsxHgdMGj4OD2yH95+Cxc/A4bNhxtBO/+ufGlMpMxd+UWXaLZryfQHY6TkwGOjPTj+BYJm3GvXpsYlgGICSxYpPMmqzedd5Th5TgnAdXauZ33xtbE64n60VPfSdKo1Z38WitfVuJGevqHMtgcm0p5v9jg6GyzbxvI0FS1e5Jq81ryWvkuStR6LLhqwOt+GRPi0whiSgjIfF7dyAc/SwqKOq+W8zCxgIehy3yx8Hj5OCx20RFQlIoHKJC4bZLn7loenefzxycHIeL//BRTHgGOQyAnhCP56+boruNjK4uxO//u0MxTzXkfcz0h1YaepZm26GYZfeSznEjW6AzMyaTSxpxvKwCIbj6/z7PtFgUCoWS9Zgx05hovHh3W5Nq8N+fTBuKmaMrs2JssXq8o07zZKRTmcmlmBiJZC1229GusuuAQqFQKCIlHjuWpBDnyWiAX5ZBzGxcpseWdIx3VJmRkS5lJpdiYqS6xr/wW6MxqqoQ2xu9aOsJocRjx6iqwpQ1cl4ginluOdyBe9/YllL+8fz8/BGYUFMc9QkTlm1jlnzYSL5iwjGfxTQhyZ+NIKCpw49P9hw3LEO+kwMDBqFI+WaGEjgRYQGwLGBjxe3VLjsHB8fCFtlubY8ct3Es7CyD7mAY2xs7NfO9eGwlThqQF/WPY+MY2DkGh1p9+Otn+3XLd+2ZQ1Dsceh+Zz7bexwP/Xen7vwlbruoHlOHKds8bW/04nh3EF5fCPkuG7r8YRS67RiQ5zDlXY4nmftY+K3RGDuoSHd6vX2E0jNIpo9J1kZPz3gxc3Slqm1aJseWdI13VJmRkQ5lRiuWUjbFxDAS9ykeBkBFoRNv/vxsEEIQihv05cqANNArKQPStZIyEI47HpsnQYjnsWLrUfhpPB1NOJaJ8Z0i+kVhYgfz6DFWIS0LGwMs33oUvpB6nBujlOU78Oy1k+Gys33K71U2xM9WBT+UkN4HLRsFpXdX7/uUTB+Q7LuaTf0NYPw+kpXfrGepxw7LDDn1jBcAsm5sSed4R5UZGelQZmgsJUq60FJUOJYxHDyPEAJfiEeYJ7BxDNx2DgzDoCcYxsE2Y87ZKBQKBTBnhxfdzZRm+musC0r2wQtiSIcAnaGiUChZTLrHRarMmIAZsS4uGlOB4QPzE57bc6wL/916NOUyAOD0oSX4Yl+bZrprzxwCO8eiJ8ijxGPHyRWFcNh7Y+qka0rzi4ZWPPr+LsXzpw8twYxRFRhdVYivmzrxwNvGXZrLmXdBHU5PcZulIBB83dSJdl8QxW4H6svzsbO5K/p9ZGWB5csnetCq2+9NGoR/rTusmc+U2hIIBOgO8ujyh3CgVXk2J99pA8MgGmqBpzZCljG4xIUit0MMvRAJxSDFuhLDLUS+23q/2zgWZrfMw20+vL5R28fNtOEDMG5wERpaulX7O7W+UkIgBI3tfvQEw2j3hXT1efGcXJGPHUe7NNNdNr4ag0rcuvPVWx+Xja8GAN1pjciQCnrlT3cMKKrMmIAe3wBMnCV6/PlNhzrw5NWnJnTQdtbSD0yRkwFwsLUHlYUuHPWqryvf880xGV9v5wWi6giLAXCozYf/OXsYOJbBmSPK8Jc1DbrXvBPl9/cvD+LnF9SlfO9n18fGgZo+sjyl/MxGT92u2d2iq628eP0Z4FhGs60yAApctqTX0gkhsXGqpNhT4bjvUnBR2fdAiMd9b25TjREkx23ncP7IgRH7r0jQ0nDfgKbyuFhBWTysbFDSDrX5cajN+K9jaRnTzjGRQKBs9LsYkyruezSGVeQaTnaNjcHgUjfynTZ0BZRjTpV47Pifs4fBzjH455fKQV8ZABsPduCxKyfCaWPBaCypJtt/MgA6fCFd7f/hH0wwbDOzdl+rpm3Pwz+YAAC606bTZkaPTOmOAUVtZkxCLSZGv65gCoVC6afcOqMej74n7sIyM9aRkRhK2RhvKV0yGRm/2ZRLowDojYlRWRQ7tVZZ5MJPpg3NjFAUCoVCSZqhZR7Ffj2VAVttvIjP10jadJGNMtGZGZNJJdp0TYkbec7Ylb/ugPk7SqRyCCHoCfLgBQKOZeBxcJrTtulE770nqrfYexNDMPSEeLR2ay8zJMqvv2G0bpXaSqc/hKPegCH/OHrrN1HeNpZBRaETBS677vKA5N6jdLYDK97zZGAZoKrIjSEDPCj22KP+WEo8DjjtnKG8th7pwNubGuH19y4vuWwMBDAIygzYC102XHxKFcZUF6HhWBf+oiPe1w9Or0FloSu65BjiibjMF4793tzpx8aDHYbkliPtyLHK062RfLPRuzz1AJxGsiHQZCr+D4z6PtCiKov8T2iRqt+IeN7edARzX1yvmiaX6icVzKhbo84XjTwvs51yGXmPMuG7w2jb5AUCry+Edl8IbT1BtPcE0dYtfu6IHGvrCUWPS8d6gsn7DHLZWZR4HChyi8pNSV6ssiM/vvlwBxa+oS9mVbyjODPf+WT7z2zz1XOiQpUZGdmgzACprTEqXUuhUCj9AbnyoBabCDCuyBrtP7PRa/uJCrWZyTC8QPDpnuN4fcNhfLrnOHiBpLTGqHQthUKh9AcIgMYOP9Y2tKbUVxrpe6uKXLjxnFpUZYHdRyK59Zyj9JL0zMzOnTvx4Ycform5GYIQ68DrN7/5ja487rvvPixcuDDmWEVFBZqamgCIdg8LFy7EsmXL0NbWhilTpuCJJ57AmDFjdMuZ7pkZreBbqawxSte+t60JL39xEN0pTBlTKBRKtvHYlRNw2YRBAIzbYyTb92baFsVowMlMB5hMJ5YvM/35z3/GT3/6U5SVlaGysjLGaJRhGKxbt05XPvfddx9eeeUVvPfee9FjHMdh4EDRR8fSpUvxwAMP4LnnnkN9fT0WLVqE1atXY8eOHSgoKNBVRrqjZlsdfCvVIJFmuJhOVSa17ep668poXesNOWFF/WQTZrVRK+szlfAgDFJ7z6x4h7XynDejDo+8p+y8UMKstqm3fv/2k8k4ubIArT1BLN/ShEdVZCzx2NET5FP2TD28LA81Azwo9ThQkudAaZ4DJR4HSvNEe5wB+eL3Yo8jRuHIpUC/ctTkTrWP7A9YrswMGTIEc+fOxYIFC5IWEhCVmX//+9/YsGFDn3OEEFRXV2PevHnRcgKBACoqKrB06VLceOONuspIlzKjJ5iag2MwfnBx0juGCCHYeKgdQT45VSbV8q2QSQk1WfWUGX99Mtf0N8ysAyvrM1Pt3Ip70pNnocsGhmFUHfoVue248+KRhuNuJUIgBEve/lp3eUbSB0ICWroCeObjhpSMjc0mG9/tVNr5iWKgbLkyU1hYiA0bNmDYsGFJCwmIysxDDz2EoqIiOJ1OTJkyBYsXL8awYcOwd+9eDB8+HOvWrcPEiROj11x22WUoLi7G888/nzDPQCCAQCAQ/e71elFTU2OJMiOfnmzpDOD+t1JzpU+hUCgUil7ks3VmL5dlevkNSEOgye9///tYsWIFbrrppqQElJgyZQr++te/or6+HkePHsWiRYtw5plnYuvWrVG7mYqKiphrKioqsH//fsU8lyxZ0scOxwoSrXNSKBRKMoyuLgTLALuOdsUs1dg5BoSgj68dQPuY08airiJfMUZOc6e/T3mJrmny+rHtiFfXPVQW9l6XKH8jcirJN3xgPuw2Fq3dAbR1h1TDJPR3pGCOWvZCRjE7v3SQ1MzMkiVL8PDDD+OSSy7BuHHjYLfHOrD6xS9+kZQw3d3dGD58OG6//XZMnToV06ZNw5EjR1BV1Vt5119/PQ4ePIjly5cnzCMdMzOp2K2ksu6te637x5Nhs7GGDOeSXW9Oxb5BC6W6StVeI/4Xx2lDSiCAICyLuROOxgAS/4clp1wx54SYWEEhniAsiDF8wkJvzKBQ5HNYIJG8e516hRPlwQto6QricHvmnailA4ZBNMaPTRbvx8YxsLGig7VOvxgwUC+Xjq/G0AGePnGFpPyjQRZln3c2deqaXX3+J6fjrBEDdf1KNdpW5W1zX0u3LlsaJfS8v3p+fafyviXKH4BmmUb6JLP6oBvPqcWdF49O+nq9Mqdq9yjnpeunosMXNNVeKJvsjyyfmVm2bBny8/OxatUqrFq1KuYcwzBJKzN5eXkYN24cdu3ahW9/+9sAgKamphhlprm5uc9sjRyn0wmn05lU+XrgBYKFb+pzBhVPgcuG9QfbsPFQe1JlC4SgwGVDp1/5l0iBy4bNjR3RtfXGDr9qeQIheOrDPQnvRzp22yubsLelO+F6vR6ZksFlZ/HXTxvwzMcNCAtxAf7CPGwso+l11iolq7/DMUB9RQEcdg52tjeysvTZFgkmaEugENg4Fo5I9GV73OdoGpaJRmq2sYwupSAUFnD1M58rBmuVMyDPgTlTTjI8JT52UBEG5DlwvDuomrfLxmH9AX1RmFkGuvJkGeDLfa0AxNmYykIXfvvmNkPyxyNV1d2vbUFJnMGsHDvHYFCxGHE50X0lcw9a+auVyQsEd7+2RbVPkt+THvn08OePGnBufTnsNuMeS/TKXOSyK6YzyoA8B0CM1ZUWWvfBQNxdNXN0ZdbZ6mSV07xAIIDhw4fjhhtuwD333IPq6mrceuutuP322wEAwWAQ5eXlGTUAtnImgkKhUCiUbCdduz4tn5mRI+lCyViJ/+pXv8Kll16Kk046Cc3NzVi0aBG8Xi+uueYaMAyDefPmYfHixairq0NdXR0WL14Mj8eD2bNnpyp20khrlJTcJ9FSg41jwDFM2nY9dAfCON4djHGExTBiLKlMMrDAifwsjE91vCsQE+tHDscyGJDnSCmeUncgjJauQJ8ZIJYByvKdSeed6DnL5U10nkKxEhvLgGWZ6OyojWUQ5gV0BrR3oWXjOJj0W//Xv/4VDz30EHbtEtd06+vrcdttt+GHP/yh7jwOHTqEq666Ci0tLRg4cCCmTp2Kzz77DEOGDAEA3H777fD5fJg7d27Uad6KFSt0+5ixAiVjunjuuWQUygqcllmBG7E0N2ONVo8mriTTml0tuPqZzw2Vp3d9Vq0etNZ+/3jVxIwasynJl2lFBgD+cOXErPC3QwiBQMTnzAuiTZI/KOCltftxoLUHAiEYVVWIsnwnRlcXgWGAMN+bViAk+p0nBGGBgOfFz2IaAl4QwAvAxoNt+NtnBxLKIRDgtKGlGFaWF3MNL4i2UPJywpGyeJ70nhMIwjyPtp4QAiEBLAu47RwEArT3BNHcGUhYLiW9DMizY2CBC1xkgJcG+Q5fCDuPdileN6qyANubOjXzn15fhlU7WzTT/ey84RhTXQSOZcAQYE9LFzr9YZR6HBhTXQiHnQXHsth2uAN3/XuLZn5/ueY0nDG8LHpPLJN4AkLvyoPecTCdJLXM9PDDD+Oee+7BzTffjGnTpoEQgjVr1uCJJ57AokWLcOutt1oha1KYvcxkdvBDq9Hj/0aLgflO/O26yUnfDy8QzHnmc7R0GV/TTrZsPWWmel+pkEqdWI3LzuK8kwdGBmvZwB+nBAgyZSD2O5EpH7HHRQUj03dIUYNhEP21zjGRAZ1jwTK9v+LFc8DBNp+hiOnx5Ds5XDutFg6OjRloH/9gt+IMXLysz/zwNLgcXNwsAwuWBRgw+NFf9L1nLAO8efNZcMTZzGi9qwyAikInAAZHverjwqrbzsP0h1amLZBmpvNLFcv9zNTW1mLhwoX40Y9+FHP8+eefx3333YeGhgajWVqGFU7zUgkamW6ojQ+FQqFYzzfGVuCdLUf7eO9V2s0E9PXym4wHa7PHI735pcMPjeWBJhsbG3HmmWf2OX7mmWeisbExmSxzilQCoaWbbFzbpFAolP7GO1uOAhBni+TEjwuzxlbhhnNqe7UDGW4HZ7hcs8cjPfkt39KIs5Z+gKv+/BlueXkDrvrzZzhr6QdYviVz439SMzNjx47F7Nmzcdddd8UcX7RoEf7+979j8+bNpgmYKlaGM8gGD4laJDMzc/N5IzBtRJnp95PsLNGtM+rw6Hu7TIn9FE+mYjGlOmP2/66bgq+bvKZ6nX5y9kRcfEp19LseW6v4X5Kp2mdlanbT6thdqdZLvA0eEOurpa07gLkvru9znZF3wch7ZiRfo0ht4HuTBuGVdYc1099zyShcd7a2N3qpv25s92H9wTYQALUD8vDDM4b2WVqSk+y7et20oZgxurJPP7p8SyNuekE9fuHTSbT/dHkATqcfGst3My1cuBA/+MEPsHr1akybNg0Mw+Djjz/G+++/j3/84x9JCZ2LcCyTFUaSakyuLUVVkUtxDTSeqiIXbp1Zb4lSZlQWaX32pbUHDHWcUlo2sitIbe1XGhjSjdG6kJDknjp8AKYOH4D/+7hBdX1bay1fzv1vbcdFY6uikYT1+lOS/E5In1MZ5DLly0LreaTSXlLxTSWVe+202j51IXdjf9bSDxJeb+RdMPKe6ck3WaQ28NGuY2AZqNpYsQzwwzOG6spX3l9/99TBuuVJ5l1lALy9pQl3XTI65rnxAsF9b2zVvD6Z9m/2eJQoP7W2nGk/NEn7mfnqq6/wyCOPYPv27SCEYPTo0fjlL38ZE0cpG0hn1GxAWzvmBYLP9h7Hp3uOAyA4Y1gZpg4fkJSBqxW7mZL5RWBELrX1YjnSFfNm1OOR93YmLQ+FQsldbCygFohbdOTIRAdSjmVigsvyAkl4zijBsAB/EhHBHSzAcWy0fF4g6Anpy8djF51QZhNhXtAlv1kz3pYbAOcS6VRmtOJZLN/SiDte3Yz2nli37MUeO3733XG6lYhk4mZoxZIq8dixxIAMqciVKF38LzDpukBYwC0vb0haJgqFQqGkl8eunIDLJgxKOR9LlBmv1xvNzOtVDzqWjhkQvaRLmdFaR7zhnFr8abX6Li89syKprFdKsyZNXjHKd1tPACzD4ozhAzB1mPHZoVTkip/BOXVICb7a39ZnRidV25LbLqpHfXkBdjZ3oqMnhCKPHfXlBWBZBl/tb8OTH+5RvX7uucNx6pCSpMvXgyAQ/GdTI17feMS0PG+aPgynD+1dEvm6yYuH/qt/huuy8dWG5LntonoAMFSGnjxHVqa/LxEEkrC9yNFqO3PPHQ4Amu1Lzi8vrAPLMKrlGpEhXcS/YwVuGxjCwOvvvQ8AMXUqEIL/XaEdd+rhK8bD6w/hvjdSC+0g575vjcY5dQN1pV2965ipZWcLLjsLj8MGt52Dx8HB47TBE/nsdkSOOWxwOzjkOTi4HTZ4HBwOt/Xg8ZXabS6rZ2Y4jkNjYyPKy8vBsmzC6TpCCBiGAc9rexBMF+lQZvT4ctFa+wWAykIn1txxgaJSoVVOpnzcWClXMCxg5D3vGPZNolUmLxBM+90HaPKq7/bSeiZmYIYvIDmJ7l3Lf0T89ZKtjVb9yMsCoLsMo/JnE3rbOyEETV5tZ3jJ3K/ZbSYZUnlOev2ZSH5ZzLzPUo8d9146BoGwgJ5gGD0hHj0BHj1BHr5QGD1B8XNPIIy1+1oR4jOzeOG0Mchz2nsVjqiiYYt+lxQOj733XJ6Ti1xjkykmXEQxERUYNSVZjXT7obFEmVm1ahWmTZsGm83WJ7hkPNOnT9cvrcVYpczIZxZaOgOm7iqhUCgUyonLk7Mn4eJT+s5kN3X40NodRGm+E5WFmdlBm04/a5bbzBw4cAA1NTV9ZmcIITh48CBOOukko1lahlVO89TsTygUCoVCUeIn04bi1fWH+9hPJrJdVBtvtGwlrSIZu81ksFyZkS85yTl+/DjKy8v79TKTGXGOkiXPwaE7qF23JR47nDbjzpcS4Q/xaPeFtBPqIF4uM/MGAI+dA8NAtY6K3Xa47BwCYTFOjh7U6lPrHqTy1DAiixGU5PaHwmj3abuKl64nhCDIC+AjcYbYiIt7B5d4uRlA9JpASEBPyFh/oKfO1Ej1mWhd77SxCCSxs8UI8TKa/a7oIc/BwWFj4YjsqDH6PIvddgDQfBZOG4sgL4a5YBnEtCur3o0LRpWjolA5vtDB1h58tEs7hlKyvHT9VEyuLcVne47j070tAJiEtovJ+HpKF9nmATgpPzOSbUw8XV1dcLmyLwCVWaTiLyJVGAAFLhsKXHbN+B9mrVdK66OpdqJqNhxmdtCFbhsARlGZYSB62JTsO1K1mdG6B3l5as/DiD2LHrTagR47JJYBPr9rhqozMS2k++rp0K/M6K0zrTKTfSZ6rg9arMjEy2jFu6JVfqL2Y+R5MhCNTAEGSOH9sOrdWPbD0zTLtAK5vyKOZTCtrgzT6soU5TDq6ymdS07Z5mfN0MzM/PnzAQCPPfYYrr/+eng8nug5nufx+eefg+M4rFmzxnxJk8TMmZlUdtaMKM/H7mblqKt6GVlZgK9VorNOri3FoGJ3yuUAwLHOAD7ebd2vEwqFQqGYQ6a8mVuJZTMz69eL7rIJIdi8eTMcDkf0nMPhwPjx4/GrX/0qCZFzg1TiHJmhyABQVWQA0cU5hUKhUE4sjIxPuRCKxyiGlJmVK1cCAH784x/jscceyyp/MumgvMDYEprbzuLisZUYVV2Erxu9+O+2o+jUEdZeK89LxlWhvrIAB1p70OUPI99lw0mlHrCypb9E5RW4bLhodAVGVul7bvuOd+OFzw6kJC+FYgUsA9hYFhzLwMYy4DjxPy8QXTYWieyJ/CEeHb6QpcvI+U4ONpbRZbNklDyHaDPWFdBvVyfZNiWyV4nHatsuf4iH1x+KWf5kGaDQJdoPEULQFRC3Tif7jPIcHHwhXrEMwLz7zHOwsHMsCBjNuk2EUTn0jk/pMt5NN9QDsAGMrt/KHeYtW91gWiepZfBlViAwI74sGIiejBO9fInKtWItfGCBAwCD5k5t3x56mTPlJIysKgQvEIQFAl4QxP+8OAg8u6ZBdfBw21mcP7IcAkHkelk+vPx7XP4CiTsvxKQLRwYginE4hsFJpW7YONFdvI1l0OkPYd/xHkvLLXLbcdfFI2FjGdz/n+2m2cAwACqKXFj1q3PBsQzOfnClJX5ArLTtendbk2afBSDpzRdG+qdU79Ms20W9/a+R8tIZJNIM0hLO4IsvvsA///lPHDhwAMFgMObcq6++mkyWlmDVbibAuqixerGxSLg9Xo99YqJrEyHuYElWQvVyBULAm2hLKYUxMTNPQL2utO6BYxEzY6YXElF+KJT+DMeKA6nFNtW6kd71VPumZN/7ePTKoac8rbEhG51VGhm/k9qq8PLLL2PatGnYtm0bXnvtNYRCIWzbtg0ffPABioqKkhI6V5g1tgpPzZmEyqLM79oKC0CIJzF/ejuFRNcm+jN7PJWXa7bSwQvmKzKAel1plcfrrOe+z5EqMpT+Dy9kjyID9L7rqfYjyb73RvsXI+Vp1TMB0NjhxyPv7sCne46Dz7E+KKmZmVNOOQU33ngjfvazn6GgoAAbN25EbW0tbrzxRlRVVWHhwoVWyJoUVnsAfmdLI/766X7T8qVQKBQKJdNkgx2N5ctMeXl52Lp1K4YOHYqysjKsXLkS48aNw/bt23H++eejsbExaeHNxurYTKkGQoznpeunAoCuPBNtxdMrj95tfGbfX6p8/9TBGFqWh+6IIaAvyEdiq0Riqsg++0I8eoJh+HWErE8VjmVi4qWEwgIOtfsM53PXN0bCYWcTBreTJn7nzajDI+9pB+kzAgP9y6a3zqjDo+/tsmTd3SqnlPGymVVOqu9rPEbet0T5Gb2vZJ9ZMvWnVJaVfYxUR8mUkW47Ej3BihPZXlrVtrPBjsZyZaampgZvv/02xo0bh/Hjx+OOO+7AVVddhU8//RSzZs1CR0dH0sKbjdXKjJ7AW4yOIJOAqAnrCdintrZpdiAws43+chkHx8Lj7A3qlufsjTpr51hIS9aEEKza2ZKUl1gnxwAMo3qtnjRW4bSxkR0wyq3BZWNxTn2ZoZ0bQGr1pheXjcXZdQOwetdxU8qZOWogGIbRlFtvneitAyfHYPrJA2PyS6X+jDyzVJ9TfFl68kumzcvLSVfdJIsZbd/stg1k3o7GcmVm9uzZOO200zB//nw88MADeOyxx3DZZZfh3XffxaRJk/q1AXAi3t7UiLkvrutz3Ohupltn1OPm80eAY5mUgnlpGSn/eNpQzBhVARCgpTsQ42cgkf8BaaeBUn4UCoVC6b9IM1zp9k9juTLT2toKv9+P6upqCIKA3//+9/j4448xYsQI3HPPPSgpKUlaeLOxWpnRGwRMb3BKrWv0rmMaDYZZVeTCt8ZX4Y2NjQnLA4B739iKo97ebc/piFFDoVAolMzy2JUT4LSxafdPk5at2bmClcqM1trkk7Mn4uJTqqPfo2HcvX6s2XUMr6w73OeaRD4PktWE3950BHNfXG/wrhLjsrOW255cPmlQwjqJx4itQKKZrEfe3YHH3t9tWD6r/AYlg9ovpbUNrSnZIEhB8BK1u2RssvQGy0tXfd5zySjc/9Z2U/JSsh+SiO8D5Gi12SdmT0SRx4FP9xwHQHDGsDJMHT4g4fu/fEsjbnqh7+xwqiR6f8y2cZGXMXN0pWp/Z4ZNoPydaekM6GoLVocKMKtOjbbt70yoxmsbjmims9JOTg3LlZnzzjsPc+bMweWXX571W7Gt3M2k5dCoyG3Hglkn99n/LxCCpct3oEPFaZbStXrRU0a24bIxYFkWPSpRrz0ODt+eWB1TLwIh+Pf6I7quA4DX1h2GLwXFLJ0DbyIS1YEcPfVhZd7yPIzKYnXdehwcvjWhCm9saEyqfuLzIoSotiWl+jRaj2qk8rz1ksoz1YuePs/svjMdfbEe9Mih9W4Uue345YV1uPd1fcEpi9x23HZRPR76707N+yeEwKvgvd5KuxrLlZlf/OIX+Oc//4n29nZcfPHF+OEPf4iLL744JlZTtmCVMpNtu3woFAqFQskUVsxeWe407w9/+AMOHz6M119/HQUFBbjmmmtQWVmJG264AatWrUpK6FwjlaCTFAqFQqH0JzI9JhoKNCmHZVlceOGFuPDCC/H000/jzTffxAMPPIBnnnkGPG/ddGe2oDeo160p+gR5Osm1SKtmjpTkSWYdOhF6rOat8kWSjdw6ow5Dy/KS3jnACwSf7T3ex+4CQEq7EpRsNOLX0M1sh7PGVODUISUoy3eisshtyD7o/103BdPqypJuO/dcMgplBU7sa+k2/D6/dP1UdPiCKcUVApTtEj7d04Kr/vx5EjmnxhWnDUZ5gROPr9xjWp5Gft2r7bxMxraDFwge/2BXwuerdr1Z9kpSzL14u6G27gB+9uJ6VbsslmWS8vsTHy8vFTs5o4GYzSZpZUaiqakJL7/8Ml544QVs2rQJp59+uhlyZT2Ta0tRVeTS9Ofy4uepeQe+942tGF9TbHgQG1rmQXmB09Sgi1ryDC/Pw/DyPPACwZ9W7zVcdkWhE0PLPFENX8oPAI53i3nxAsFvXt+a04pMeYEThBAc6wpqpn1x7QH8+2fTwLFMtA6MUleRj7qK/Oh3KZ9E9asH6RkkQnouUjsxsx2uP9iOe781Jtr2jncHdOVfUejEsPI8NHb4kmo7FYVOXHyK2OE/YFBJryh0oqbUjVueVB6MtJCu+9U/N+GDr5vR2h3Esa4gWjoDaOkKZGxH4Yc7juGF66bg718cwrEu7efLavjbKi9wojyiMOqlqsiFqkhomX0t3bjn34mfr3TsN69vRV15QcL+ixcIXvjsQMJylK7nBYJfv7ZFt7xqEPS+N/K+9JaX1dvOfW9uAyEkqfa18M1tmDm6EhzLgGOZhIqk3rFucm1pEhKYR1I2M16vF//617/w4osv4sMPP8SwYcMwe/ZsXH311RgxYoQVciZNOnYzAYl9wcybUY9H3ttpapkUCoVCoZjFtydU4/un1WDqsMQ75QBt32VPzp4UVfjNxHIDYLfbjZKSElxxxRW4+uqrs3o2JhN+ZqS994GwgFte3mB6mRQKhUKhmEmxx47ffXecqjNWPT7VzMRSZYYQgj//+c+YM2cOPB5PSoLKWbJkCe666y7ccsstePTRR6NlLVy4EMuWLUNbWxumTJmCJ554AmPGjNGdbzo8AKe61pgMkv784OWn4IJRFZryPfPRXjy9eq9imqXfG4cSjwM3/O0rzbKX/fBUnDa0d0rx/e1Hcfsrm5KeRn/66kmYPKx3ejPV/LKZhyLP6/3tR3HbK5t0XRNf33pQqkOldmNFnS+YdTLqygvAE4LtjV48akI8qQtGlWNgvhNhgYAXxOjih9t6sO5Au+I1Qwd4UOCyo8MXwoHWnpRloKQOywAsw8DGMrBxDOwcC45lYYssd3AsE/NZ+u71h9DQktln+O0J1fi3Dt8sySJ/37/c16qrTzYTNTtNJd9lVvmbMTJ+G7aZIYTg5ptvxnnnnYe6urqkhZTzxRdfYNmyZTjllFNijj/44IN4+OGH8dxzz6G+vh6LFi3CzJkzsWPHDhQUFJhSthmorTVWFjrR5E3OXkAtrhOJnH/43Z347qTBqjY1vEDw+kbll48B8Oh7u7DqtvN0rY1eMKoiZs344Xd3Jm3YWFnkwswxlabklwpa6/lG0ynxwNvbARAseutrXenznRy+2N+KtQ2t4EnvAM7zJPa7IICPDPAhXsCne1tVbQfueHUzBhfvAk+AMC+guTNgep0vXb7D5ByB97c3G75m3/H+ocC47CyIICCgsb8i32nD/5xdCzuXSDkQj7EsAxbAb/+zDe1J+qIqL3DitbnTYLcxYMDgm3/8CM3exO3IDF8kkm8vNVgGICTxUoiROHlq+X+6pyX5DDSoiutfLxhVoatPJoTgqELdG0VuRyOHF4jixg5pPFK6Nh0ktcw0ZswYPPPMM5g6dWrKAnR1dWHSpEl48sknsWjRIkyYMAGPPvooCCGorq7GvHnzsGDBAgBAIBBARUUFli5dihtvvDFhfoFAAIFAr/Lg9XpRU1NjaaBJtV0hVnnmpFAoFAol2zDT34zlfmYefPBB3HbbbdiyJXUr7p/97Ge45JJLMGPGjJjjDQ0NaGpqwoUXXhg95nQ6MX36dHzyySeK+S1ZsgRFRUXRv5qampRlVGL5lkactfQDXPXnz3DLyxtw1Z8/w1lLP8DyLY3RNLPGVuHpOZNQ7LFbJgeFQqFQKNlApvzNJLU1e86cOejp6cH48ePhcDjgdrtjzre2turK5+WXX8ZXX32FL7/8ss+5pqYmAEBFRaw9SEVFBfbvV97ufOedd2L+/PnR79LMjNko+ato6vDjpy+si1k7nDW2CoJATIuTFM9N5wzD8PL8hOc2H+7AXz/Vtz38pnOGoSfE605vhBvOrgXLiGvehS47agfm9XEP/p9NjVi185ip5Z5TV4bVu/RNC88aW4GKQheOev3oCYThCwlw2TnkOTlUFLr6hFCIT+cPhfHFvnbNck4fWoIv9rUle0t9OG/kQAwpzUOIFxDiBRxp9+Pj3dr3PLDAAY5h0RMMK7oqp+Qm8j5Bqw/40RlDMKa6EA3HuuH1h9DpD+PNTY2K6ZXyGDeoSFdZ4wYV6ZJrev3ApPqDC0dX4IJR5dH7kfqbhmPdqnaD6eLSU6qQ77Khyx9GnpNDsduRsD+Uo7deBUL63LcUguLjXS2Gn6s87z3NXbrqL1P+ZpJSZiQD3VQ4ePAgbrnlFqxYsQIul/LNM3EPmBDS55gcp9MJp9OZsnxq8ALBwjcTx79ItHaottaYCtJ66W2zRir6TXj4Xe2t4VI+8y88GdMfWmmJjAu+MUp1HTUYFrDgX/oMYuV5a62B6xnUJRmfmH1qjIyS/UmQFxDmI5/DQkRp6D0XCovfAyEeu5s3oq1H2QYh32nDpCHF2HbEi26TYtus/PoYAOOd/rFObT832QDHAGMHFcFp42C3MeAYBp83tOr2r6IV06Y0zwEQglaF58YAqCh04cPbzoXTxir2P5JNh5J9Q7qokvUJWn0AA+DdbUdx76VjYuzWvtzfpvs+pDx+fclo3WUB0Ez70a7kfthsOtSOp+acmtDm4/WNRzL2fKR+5tErJxqyKUnmGSbi8lNr8MW+VkM2nPHPTK3+Mu1vJmNRs//973/jO9/5DjiOix7jeR4MIwYb3LFjB0aMGIF169Zh4sSJ0TSXXXYZiouL8fzzz+sqx4rdTDQuE4VCoVBOFCQ7mLc3NWLui9qev83CcpsZANizZw9+/etf46qrrkJzs7jDYPny5di6NbFn0HguuOACbN68GRs2bIj+nXbaabj66quxYcMGDBs2DJWVlXj33Xej1wSDQaxatQpnnnlmsmKbQqZjUFAoFAqFki6aO/1YvqUR97+1LeH5yiKX6YqMUZJaZlq1ahW+8Y1vYNq0aVi9ejUeeOABlJeXY9OmTfi///s/vPLKK5p5FBQUYOzYsTHH8vLyMGDAgOjxefPmYfHixairq0NdXR0WL14Mj8eD2bNnJyO2aRhxt201E2uKUVmUeJnueFcAa020zeivTB5aggH5+pYmmzr8WH+wXfG89DwIIWjtDiIQFuC0sSjNcyRcnpDSHe8KYo/J7WpiTTEIIdhwqENT3nh5AmEBgRCPr492mSLLyIr8lPOSZNXbroeXeTAg32naO6C3naTrvTu5PA/SSltpvgOhsKD6rK2musiFIwkcqsUzeWgJAFhaR1rPihCC3c1d2H0sM335xJpiANDVlyTTnvTkb4R9Ld149L1distz91wyKqOKDJCkMnPHHXdg0aJFmD9/foy/l/POOw+PPfaYacLdfvvt8Pl8mDt3btRp3ooVKzLqY4YXCF5amzh+h5xU/ZHoZXtjB0rzHPCFeHQHefiCYXQHePQEw+gKZNao023ncNnEahQ4bfA4bMhzcnDZOfzvip3oSNK3hVG0/E5UFrnw0g1n6FrD1vJzwQBo8vrxyk/PTCogpJn2FpIsaqvIWvKaIZNUx2/8/GxMf2il6nq7mv2TXFYAmPa7D9DkVR84u4M83vmfqarlGrkHI+1Ej3zJIsnz9rzpMXYu0373viXl6YUXBFRGDOi13jcAqm0rWZ8wep+VHp81WuVUFDoBMIr3q3atkXcTUK+rRNc2dvjQu/iTPNH6XHtAsWwGwP1vbcdFY6sy4l8mKkcyNjP5+fnYvHkzamtrUVBQgI0bN2LYsGHYt28fRo4cCb8/e5ZhzLaZofYy+jlrxADUlMZ6iT7q9eODr83dsaTGyMp8fN2kPCOQSEYl9Mp+/siBqCg0btF/sLUHH+8+bvi6VFGT1wyZpDrO1P1RKBTrMdO/jISlHoABoLi4GI2NjaitrY05vn79egwaNCiZLHMGai+jH3HgyuzgpabIANbImE5lzQysljcb2gGFQrGWTI+NSSkzs2fPxoIFC/DPf/4TDMNAEASsWbMGv/rVr/CjH/3IbBmzCiv20J9bX4aTBuShvSeIZm8AAIHXH8K2RmM2BvlOG84fORD1FX2X4QRCcKjNh+5AGHlOGwaXuLG7uQsffH0s4XJUnoPD+JoiFLnsONLhQ5efhy8URnNnAPIdsS47i1GVBShy2+Fx2JDvEvOO95mw82inYllmU1+Rh2+eUt3HL0z8/av5dUjEgdYe/OPLQ5rprjhtME7SmO1JVB/S8xtRnp9Q1h1NXry7vRn+kL4tyXqR5NWS6bO9x/HV/vaYLdF2jgEIEJKtBzhtLE4dUoypwwYkrGP5s2jrCWLjwQ7TtqlTMg/DALa45QaW6etmQ4IQErOcFJ+WEClkR99rxRhP4jJyovN2jlFcQg3x2osSHCu6BuCJev7yexBIYlnNwMYq36uZcKz4DBmGQYgXdJWXKf8yEkktM4VCIVx77bV4+eWXQQiBzWYDz/OYPXs2nnvuuZjt1pnG7GUmLTsCo2upVQnilSQbAsHI9jglp3/x+Ul5KaXXU6aesuSo2bno5cZzanHnxaNTyKEvep69nvgzydSl0TrUg1zed7c1qcp0wzm1WLa6QfeaPaDdDo3cU3zdGrHnkbdjoNd/UCAs4MKHV+Fop7LfjdI8B35w+mA89aE+Z2unDC7CJoNGuEMHuMETIBgScKwrkBZbu3TAsQzskSCSDo6FnWNht8V9l87b2GgsKbtNOi+eO9Luw8odyrOHWs717vrGSJw7sjymPJbRH0tK692Ib+dKwRhTRSrvidkTcf9b200bg5TKeWrOJADQHIvMiLulhKVRs+Xs3bsX69atgyAImDhxommBJ83ECj8zUicMxA648Y3AiLIgIXXSicKs64VlgBJP4t0zgPhLp60nqDuwYrHbjnZfSDW9UplGypJw2VlTZh9KPXawbNLeBxISCPPoVPGWW+CywWlTVub11Ed8XSZThxQKpX/CMoDHYVOd5S5wiYsuan2VnnL0/KhMNI6ZRdqUGQme57F582YMGTIEJSUlqWZnKlYoM4Co0Cx8c1uM0lFV5MK9l46OPtREaZTSSlADYwqFQqHkCpdPGoSll4+3ZCeT5crMvHnzMG7cOFx33XXgeT4a/NHj8eA///kPzj333GRlNx2rlBlAO2K2PE2T14/WrgBK8xyoLHInTAsAr284jFte3mCqnBQKhUKhWIXSj/NUsXw30yuvvII5c+YAAN58803s3bsXX3/9Nf7617/i7rvvxpo1a5LJNufgWEZzK5qeNHKsMKJ6Om4K0Ojszz2XjLIktpQcI9v6nvlory557rlkFK47e5hhe5P4tXA1GxcCcU1+7KAieP0heH1h8b8/DK8vFD3WGTl2zOtHS3duxEQyA+m5Jmvzo9UukrUvA/TZ9lgxU5rqFla9Mr10/VQAsHymNxW7Oa1rzar/+DrXK0+2zpTfOqMOt8yoT/p6s+8rUYDldJPUzIzL5cLu3bsxePBg3HDDDfB4PHj00UfR0NCA8ePHw+v1WiFrUlg5M2MFeoxMjTqTYgCUeOwxNhhaNjASLAMUuWzo8Icts9mQ7HLUAojKEQQBbT7tteAStw0Mw+i+V4q5uO0cvnmK2LH9Z1MjfCHjO5YunzQInILdk0BI0vkmklNp55UZZegpSy96ZDKj7o2idG9G5E3mWqNyZWv9SeUSQuDXCKLqsrG4dHx10u3I7HYNWGMIbPky05AhQ/DnP/8ZF1xwAWpra/Hkk0/im9/8JrZu3YqzzjoLbW3Z40I/08qMnqWoeLQMjI3sLKFQKBQKJV2Y6TzP8mWmH//4x7jiiitQVVUFhmEwc+ZMAMDnn3+OkSNHJpNlv0SPkXAiZo2twlNzJvW5tlJ27cSTSnDHvzajPU1hASgUCoVC0SJTzvOSUmbuu+8+jB07FgcPHsT3v/99OJ1iQC+O43DHHXeYKmCuorQmq3dtcdbYKswcXak4qzNrbBUKnHZc/cznumViADx59SRcMKoCgTCPd7Y04fZXNimmv/7sWoyqKowGHQyEBfhCPPa1dKPDF4KdY1HktuNIuw9r9mh7eHVyDEICyakln7I8O1q6tRXGOVNPwsmVhXDa2MgfB6dd9tnGwmVn4eB6j9tYFve+sQX/WndYM//LJw3CKzrSpYNbZ9RhaFletE0CUJ19TGV9Xu1XnhX2DIlsOKyy2zADIzO/Utr3tjXhmTX7TJVD4qXrp6LDF7TEPkp+r/tauvHIe7s087TyeWYaI+3JCj9VSmTKeV5SygwAXH755X2OXXPNNSkJ01/gBYKFb25L2HCkY3e+uhmEAKyOtUWXnYPXH8J724/GHBcEgmKPHe09+mZnCIC7XtuMxZHvS95WN6J95atDWPydcchzxjaTUVWx033hsIBP9h6H2oIlwwAPXzEBNhsLXiAIhgX4QmEseftreFPwhWA1ehQZAHjhM+3go6mQLYoMADz3yT4s/s64Pm1SqZ2GwwKYiM8KI5R47GjvCeK/W5sSnhcEghKPHW06278eEr2fycovR+teUkWp7uMRBIJX11vTlko8drR2BfDr17cYHjSN1I+DY/HcJ/t05ZvoeeppN6k+b6sxUl+CQHDXa5stV2QkmxnpB066SdrPzPvvv49HHnkE27dvB8MwGDlyJObNm4cZM2aYLWNKZMJmpr9o/hQKhUKh6MEK53lGxu+k3KM+/vjjmDVrFgoKCnDLLbfgF7/4BQoLC3HxxRfj8ccfT0ro/kSmA25RKBQKhZIuij32jG7LBpKcmRk0aBDuvPNO3HzzzTHHn3jiCTzwwAM4cuSIaQKmSjbPzMjXPLX8HtxwTi3+tLrBXEF1kGhdNpX116fTsHb94v9Mwem1peAFIv4RAp4nCPICvtrfhuZOPw4c78FfTLIbuP7sWgwZkAeBEIR5Iv4XCLY3evH6hvS/C0VuGwAGwTAPn8lBKSnKeOwsCt12hAWCQIhHZ0B522tdeT7KC53gWBYcA/E/C9hYFizLwMYyYJnI/8h3Lu5PTxqOif2+51gX/vD+blPv+y/XnIYzR5TBxjL4Yl8rrvqzth3fzeeNwLQRZZhcW2o49lGy/YYee54nZ09ESZ4z6X7pnktGoazAiZbOgCW+uW65YAT+8P5u3XWVih8mI/y/66ZgWl2Z6flavjW7oKAA69evx4gRI2KO79q1CxMnTkRXl7Foz1aSCWXGaEBCrXhMyfiWSRVJxg9/dW6MQSEvEEx/6EM0eZObfaqS5SnmtRJNXuVAf2bIHE+q96CnPLPKSEUmAJj+0IeKweYYAOWFThBC0Nyp35HfgDwH/nDlRIABwgKBIEhRjXuVx1CYx2//sx0dOnfb5Ts5XDX5JPACwctfHESPShRtl43FtBFlIJCXL0AQgLAgRCIci5F+eUGIkVGIBJk83k1jXWUKlgEqC13gOFHZOtjmA6/yMJw2FlNqS8UAkSwDjgE+3HnMUPy2fKcN/3P2UDzz0T50qsQ0Knbbce83R2Phf7YZ3ik6sMCJf9xwBuw2BgwYfPvJNTimEsTUCGLwSBcIIYqBUaV3/4Nf9vav5/3e+j4oUbBks7Bcmbn66qsxYcIE3HbbbTHHf//73+Orr77CSy+9ZDRLy0iXMhO/q6CtO4ifvagejLK/WddTKBQK5cTi8kmDcHb9QN1+1IxgiZ+ZP/zhD9HPo0aNwgMPPIAPP/wQZ5xxBgDgs88+w5o1a/DLX/4ySbFzFyV/MjecU4s3NjYq+oqRoDY2FAqFQslFXll3OLrb0qoYTXrQPTNTW1urL0OGwd69e1MSykysnpnRsnV5IrIGq+YHIhtnZh6+Yjwm1BT3Of78p/vw/Cf7Tc+bFwg2HmzHhkPtAAEm1BRjfCTN5sMdON4VxIB8B8YNKopOoSY6rocNB9sx/x8bk5Z/7rnD8Z2Jg7BmTwvue2Nb0vmo8c1xlchz2fD3Lw6ZnvfpQ0swaUgJQIAvGlqx7mC75jVjqgsxZIAHACLLSWJYDJ6IfoMEQbQV4iP/O3wh7Dyqb7m5LM8BG8eCJ6KtSTZv1adkHywDMGDAsoAtsibPCwRBPjPriGcMG4CTSj1o7vRj5Y5jmukvHFUOlmPgDwnId9pQWeTCMW8A/hCPPJcNNSUe2FgGh9p9+PsXBzXzu2n6cNRX5GPvsS48vnKPGbekGz1xuoxg+TKTREtLCxiGwYAB5jqCMhOro2Zr2broiVXBCwTTfvdBymubrIZdjdZ5iYH5Tjz3k9PBgIFAegepEE9w49++TMmvR5Hbjl9eWA8GiAx8kA2C4mchYnchRI7xERmi3yMDpnhdZFDtk5d0jXi9lIYnYmyntQ1tCPLGjWM5Rlwb5wVC7S76KQwDcIxoXMuyEP8D6A7ypvnqcHAsTh9aAo5jwUbKYxgGLEOwemeLamwej4PDdycNEo2FGUa8nhWv59jevDhWPMdGDIU5hol8lqVnetMwABa9pW7nVJrnwP9efgp++comtKoETNXb12iRTLwfrX7ZSuTyAjBkO6lFsraYSumtwswYTZYqM+3t7bj77rvx97//PRqDqaSkBFdeeSUWLVqE4uLipAW3AiuVmWycUaFQKBQKJdOY4fHasthMra2tOOOMM3D48GFcffXVGDVqFAgh2L59O5577jm8//77+OSTT1BSUpLSDeQK1NaFQqFQKJS+pHt8NKTM/Pa3v4XD4cCePXtQUVHR59yFF16I3/72t3jkkUdMFTJb0RuDYs7UkzB0QB4A4OtGr6mu6b81vgrnj6wQty1GpotBgD3HOtHhD6PU48DoqsLoNkiWZUAIwb/WHda1/goAt110MqYOG4Athztw7xtbdV3z/dMGY2x1Edp6gijxODCqqtCSrXt6+GzvcTz03x2K539weg2qilwxcvIRPzFf7GvFfzY1pk1WeVuRIxCCA6096PKHke+y4aRS0X4l/tiB1h7TQyucU1eGc+oHJn29QAj2H+/GvuM9AAGGlHkQCPL413r9PnjOqSvDWXVlYBlG8x26fNIgAMmHgLh80iCMrOr7K9Csd1cpfwDYd7w75eenlr9e5O2ttTuI1btaUsrPKPLnbRQz6lDO7Ck1YBkGXf4wugJhvLe9WfOa+PdYIAQf72pRrUfpuelp34QQ1fcnvg3E9x8CIXjxc339f7KkO0aTIWXm3//+N/70pz/1UWQAoLKyEg8++CBuuummE0aZmVxbiqoil+Ya5sJvjY1ZwzQDKe9HfjBRQUmoVLyWFwhueXmD7nJe+Gw/bpo+HBNqivHUh3t02fZ8tPMYfvfdUzKmwEjwAsHNLyo7jWIArN55LOH67qlDSvD0qvQY0MW3lWThBYL3tzebuk6+82gnnv3xZNOepdH3gAGwq7kLz/54MgCoXssAWLPnOJI1BZSuX3r5+D7+lcx4d5Xyl5ej9vy0fE5p5W+UZO47Vb9Y8uedzD2kWofydJVFLtx/2bioHHrtVuLfY14geFbFSaf03BZ/9xRMf2ilarqPd7eg19RWOS+1NsALBCu/PmaJPU2mYjQZsplxOp3Ys2cPBg8enPD8oUOHMGLECPj92bP8kq7dTAD1J0NJjTHVhRhY4Ew5n2OdAWw94jVBIgqFQjGGmTGaLLOZKSsrw759+xSVmYaGhqze2WQFs8ZW4ak5k/r4maH+ZChGoQoIhULJZRiIoXcy4WfGkDIza9Ys3H333Xj33XfhcDhizgUCAdxzzz2YNWuWqQLmArPGVmHm6MoYD8CJ/MlYvYZYX5GPAXnav+w7fCFsazQ2cI6uKkSR227oevk1AHC8O6DL94je+zCarxrxsgLJ1ZPE4BIXDrXpU15vOGcY6isKkipHDYEQ7D3WjV3NnXhfxzp/tjM6YgOQ7DPJJhK1t3gIIfD6wwjxAuwci0KXDV5/2ND9p+tdGlTsRpHbjkKXDYzMzkV+D8GwgP2tPbrz1FNHaqTaL2iVn+j5yO89mfKHlHoM1ZFe1NpBe08Q25s6TSmHAFi2ugETTypJu0JjSJlZuHAhTjvtNNTV1eFnP/sZRo4cCQDYtm0bnnzySQQCAfztb3+zRNBsh2MZzW1oko2NFf4PGACd/jDeueUczXVmI/4HpPXPN39+luF140TX6EHvfRjNNxGJZI3PO5l15VBYQGWhS9O+qLLQiQWzRlpqW5TKfUjxm57/8WR0BcLw+kPo8IXQ0ROC1x9Ghy8Ery9yzCce80aOqcXASQaOISjyOOCys4bi8pgFywCEICUbA7X2pgejz9LrC1n6Lkn3s/r283T3O1r9X6p1JC8rGTJRvlTmu/Oni/HqVPrWikInAEYx5lqia9T6VCv80Sx8cxtmjq5Mq82kYT8zDQ0NmDt3LlasWBE1smMYBjNnzsTjjz/eJ/hkpslEoEk1Uok4TaFQKBRKLpDVfmYAMazBO++8g7a2NuzatQsAMGLECJSWptdyOdvgBYLP9h7Hp3uOAyA4Y1gZpg4f0EczVbKxoVAoFAqlv5BuG9GUwhmkylNPPYWnnnoK+/btAwCMGTMGv/nNb/CNb3wDgLgmuXDhQixbtgxtbW2YMmUKnnjiCYwZM0Z3GemYmVm+pRF3vLoZ7XFu/os9dvzuu+MSrh1KUbabOnxYd6ANfzPZNwiFQqFQKJki3TMzGVVm3nzzTXAcF12aev755/HQQw9h/fr1GDNmDJYuXYoHHngAzz33HOrr67Fo0SKsXr0aO3bsQEGBPoPJdGzNvukFZT8mAPC0xjY1vTYohBAc9QZMXaLSGxhMLaAmAfD9UwejoaUbX+5vS1mmKgNxPd7edARzX1xvSr5aQUOfmjMJM0dX6oqjVey24at7LuxTlp4yzDSc0yrvhnNqsWx1g6Y8euQGoPkuxF9bWeTCqtvOU7UTyAYSxZvRs2Qs7e5IVMeJ0gLKbUBPX6OVvxn2PvdcMgo/e3F9WtqwkWX5+PfUzLhIRuEFglMXvdvnB66cEo8dX/56JjiWSalfMBqzSUturby0bHZyJjaT1ZSWluKhhx7CT37yE1RXV2PevHlYsGABAHHHVEVFBZYuXYobb7xRV35WB5rUM7BxDDBsYF6MpXs8nf6w6rJTVZG4E8qqpSkby6C2zJNQRkIIGlp6EKZRFSkKcJFmYzRQcVWRCwUum2b7zwYkWQFr34lE7yKJ7EzLUCDoKFWFThzrCqret1pfYoRk61gqvyvAa/ap0vM0G0II9hzr1gz8O3yg6CVY7T71KAdG/J1poScvAKaVp0ZOKjM8z+Of//wnrrnmGqxfvx4ulwvDhw/HunXrMHHixGi6yy67DMXFxXj++ecT5hMIBBAIBKLfvV4vampqaKBJCoVCoeQs0rKNZKIQ7wZk+ZbGPraYVQn8nUko5QNANS/JDcm725rw7w1HYqKnq5WXDJYaAJvN5s2bccYZZ8Dv9yM/Px+vvfYaRo8ejU8++QQA+oROqKiowP79+xXzW7JkCRYuXGipzBLUCR6FQqFQ0kFzp19TYdHj7wxQV1Zmja1SzOvdbU19tteX5tnxnQmDMGN0pWJ56SDjyszJJ5+MDRs2oL29Hf/6179wzTXXYNWqVdHz8VOVhBDV6cs777wT8+fPj36XZmasIFkneE8bsEPQ0nDp7FD2MyDfgSK3HR09QRzvVl5Dl7hgVDlqSjywcwzsHAsbx2JfSxfe2Ji+gJdyLp80yNTgqHoMA1Np10r5683zpeunosMXVH03582owyPv7UpKPj3cOqMOJ1cWZIUbB3l9Gnkuetzaa9niJYsZxqdy9NpHSfdrpK0B0JV2X0s3Hn1vVx8Zmjr8+OkL66Jla9230r3E5xPvO03purbuEP6yZh9Oz6AiA2TRMpPEjBkzMHz4cCxYsCCpZaZ4ssFmJh6XncU5I8qwalcLAmFl518sA5R4HOAJQSgsIMQTBPn0OwvLZVhG/MXhtHGwcyzsNlFBsHMsHBwLjgU+29uq+hwkClw23HJBHew2Fg+v2IkOn7ZiAgCleQ787+WnYP4/N6JNxSBQSvvIFePF6OcRBIHg1n9sjJnO1Uuqg0Kek4PAC/CF1XPxOFiAAD0azuzynBxmTz5JMxqyGNX3ALqDvGF5lfLXk2eek8OVp9fg5bUHVdN5HCwYMLrkS+YZuO0MWIY1fv8ODoQQzeegO7+4+jT6XFJ9HsnUnd42phcj9yyVDUBXWzOSlgjqz1XPfet9B+Lz0brOKoPqnLSZkbjgggtQU1ODZ599FtXV1bj11ltx++23AwCCwSDKy8uzxgAYSH2HAYVCoVAo/QGzZ8Ryxmbmrrvuwje+8Q3U1NSgs7MTL7/8Mj788EMsX74cDMNg3rx5WLx4Merq6lBXV4fFixfD4/Fg9uzZmRQ7hlljq/D0nEkJ/cz0R1gGMRb6NpZBRaETBS4xhkmnP4Sj3kBKuzyqi1woNBCTJVGZ8XIp4fWFcETHLpoSjx0eB5fyvekpp9MfpjvHKBRKzpFJO9KMKjNHjx7FD3/4QzQ2NqKoqAinnHIKli9fjpkzZwIAbr/9dvh8PsydOzfqNG/FihW6fcykC8lY6i8fN+CBt7frusaIHUIiG5pMhUX420+mgGUZVQMzXiB4bk0D7n9LX13E879XTDCs3atZ5quhd2372jOHJlyvNhutZahk+L9rToMvEMbPX96gmXZsdSF4gZgWeM4oLAM4OBZ+lWW/c08uw+iqIrR2BxHmCcoKnBhXXYh8tx15Dg4ehw15zt7/bjvXx85Oai/vbWvCM2v2JS3v0xGfJmsbWtHk9aO1K4DSPAcqi9x92qBU5prdLXh85e6ky5TznQnVuPy0Gkwd1tfb+JpdLbj6mc8187jnklH44RlD8dX+Nl3vj9G+J1UbJgB4cvZElOQ5Y+QDkNQ7bxSz7BKvmzZU00g2UT/27rYm3bP/SnWd6jPTWwdWB1NWI+uWmcwmnbGZRBua99HkDWimLXHbwLCsITuIAXkOPH6VaD/0s5fWq14bP4NiBlL5rI4OQxCIpoyplmEGeuQckOeAQIglioYcJhLI0EyMtJkBeQ784QcT8PO/bzD03Eo8dtx18Sj4Qzy6gzx6AmF0BXj0BMPR793BMHqCPLoDYXQH+Oh3Ps0zUA6OhcfJIc9hg9vOYn9rD0IpOG9Jpr3qaXOlHjvAMJrPS61svW3biPxG32u1/MNhAXOeXaurzae7X5CTbF8Wj1VtRSt/I3ko2b6Y6ZjPCDltM2M2Visz8Zp0W3cQc1+kNjQUCoVCyS3UdqApOdOTeHL2JFx8inney4EcspnJdZT26l8wciDe//pYBiWjUCgUCkU/arEEAe0gyfe/tQ0sC1PDsRiBKjNJorZXX69bdrlHR702Jkb8EtyahC8Mo+vnidCzwyvRGngmfRQAynY3eteL7754JB54+2tdZd1zySiUFTij5axtaE1qXf7/XTcF0+rKDNkMqaXVe6/Xnz0UM0ZVIsgL6Any8Id49AR5+II8fCFxickXFOALheELRs6Fes/HH0unywGnjYXHwYFloMvvTzIo+YrSsl14cvZEXHxKdcwxPfHH9MR/U/P2arb9ndQu1TBqi2LUHiSR+/1U40nJAwS3dgdRmu9EZaELgkB02Selg/h70lvP15wxRLMOZo2tgiCQhO0x3k9NuqHKTBLwAsHCN7clfPn1dghVRb1GbBzL4Npptfi/jxs01ySla6qKXJppX1qrPxK3dM2102r7OEsyAi8Q3PfGVs1097+13bIgb8midN+Ta0t11fc1Z9bimY/3afodqix0RutZbxlKZU6NyGvkmaml1Xuvd3xjtKnPLswL8IV4dAXC+NYf1+BYl7bdmRyXncXkoaXwh4UYhUlSrPwy/xyBsKDLr1AqSHX3sxfXo758FzxO0Ubni31tqs/3rte2AGCQ77LB7eDg4Fj85vUtmuUtfHMbZo6uVHwmSs9crS9LlipZu1RDamtaP/7i+z45Wn0xA7FuCCGaadTqT0KtHrXeG8YCO8ZExN/T5NpSVBa6NPulv39xEL+4oF61DniBKP7oNlqXZkNtZpKAet2lUCgUCiUxZvmbMTJ+symXdgJCYzJRKBQKhZKYTIyRdJkpCczaS3/bRfWYOizxlOX2Ri/aekIo8dgxqqpQ1f5he6MXX+xrxX82NRmW4dozh+DicVWmTQluOdyBe9/YpivtD04fjL9/cUjx/GUTqvD6BuV4REr1Zxaf7T2Oh/67UzNdIjk+2dOC/12hbK8kv0ZvOXrKNRMj7RDQvg9JXr3pwjzBxkPt+GpfG/677WhK95JJHr9qIiYNKcG6/W24+SV12xc5i78zFoUuu+5rFn5rNMYOKgKQfJsyA7kceuEFgn+tO6TaH8iR2sg/vjyo+xotkpE7EYnem+2NXt39oplI92SkX5YT38fozScT/mboMlMSaO2510uVSfvyJXn0Gh4D1vkF0Otrp6rIBUKIYjqtNWar5JcwUqfxz1HrWrnsAAw/u/g8ssHuSE99DSxw4o9XTsBP/986VZ89HMug2G2D1x9OyQcMAHgcHIrcdhS6bGho6UZQJb+yfAdeun4q5jzzOZq9gZTtSOKfkZF+Q7p21W3n4ZwHP9D1PsnLSSZmXKqk0iaNvG/J1A0hBEcVnmk63iWzxgy9pNL2lPIA0u9vhvqZkWGVnxmtPfcUCoVCoeQ691wyKmbDgtLYZ3RnmB6ozUwakPbcVxZlzn0zhUKhUChWcv9b23HW0g+wfIu45K809lUWuTK2LRugMzMpwwsEj3+wy7A/F4nLxldjUInb8HV7jnXhv1uTtyO4aEwFhg/MT/p6rfIvGlOB2rI8HGnz4XC7DwBQXeLGoGI3WIbB4TYfXt94JOnyJYzWn5bcZwwbgMoicRvjp3uO6863otAJG8siLIhbg73+sO5rKf0TlgFsLAsbx4BjGdg5FhzLwMYyCPE8Wrq0fdzI27dAiOL7JCfVd+vUk4oxuMSDqmIXWIaBQAga2/3oCobhD/Jw21m4nTYwBPCFeHgcNvhCYazY1pxUeReNqYDLxhmWedrwAVhj4B1NxIWjyzGiPPVYf3r6Q6m/leqzJxLSQ889TKopgtthgy/IY93BdkOyyctOdtxINOuSbDw8I1APwGnm5S8OGr5GWlt8+AcTkl5fThYGwKZDHXjy6lP7lE0IAS8QhCN/PE8QEoTeY7zoo2O2xtb0tQ2t+NYp1RhTXYSwICDMy/MUUOyx44MdzehMYdB3cAyOdPhwqN2HMC+IeQsEIV6I/Jffi4BwWEBXkFfN89O9yXWOR3XE48o27NIgy7LgOEYceFlp4O07ANsin8VzYlrxOAOOYfDe9qPwhZT9t+Q7bbju7KH4w3u7VZdmGQZ48qpJcDk4sWxJNo6RycfGyS799SoPUlqG0bYZ0FrrN9tWQG9+yfYPn0cCXxpBKvMfN51pqMxU+iOpL1p123mGZK4qcuHZH0/G9IdWJu3bhQGw+bAXT805LaVBWOv+1fpbve3gnz+dlpTti7xsAEk/p0Q+ZFLxR2YFdGYmRajPGQqFQqGcKJjlQ0YPdGYmjVCfMxQKhUI5UXgnYjuTDSFo5FBlJkX07qcfmO+ITo17HBwYJvlG0B0I42CbL+nrJWaMKsfgEo84Hc9FpuzjlxG43ql6iYZjXfjLmn0pl9/fsLEMXHYOLjsHt4OFIBAcbtdWdsvy7CgrELeP9gR58AKJaSdKx+NJpl3YWAYVhU4UuOyGrlNDTV69MtaUuJHnFLunTn8IR70BhGXrBTaWQaFL3L4df1zrfpTkUyonPj+9z0MvZufXN+8wuoM8GABuOxetV7PKNKM/qonYBenNR94+gMR1eLwrgBYdsbfi8zJKMm1aTqJ2J6HWngkhaOzwwetXXzoHxD7G7bCZMm789dP9+Oun+1FV5MK9l47OmMFvPHSZKUXSve9eb5lW+mgx+54JIQjyAvzB3vg8Vy77FC1dQcVr8p02nDGsFO9u12d06ODYtAYzNMr0+oE4ubIALhsLl4OD2x75c0SUI+mzTVSU4o+xKfiSAMzdTqmG0bZjNAhisvejJ1hhtnTa2UYqPlTifS7p9VGl1bfoCXZrVt+cSn+op30zSNz+9NyjnCdnT8T9b2037NNKTS4oyGYW1M+MDKuVGSC9++71lnnDObVYtrrBMpmsvmet/J+YPQn3v5U4FD2FQqFQrMdqh4PUz0yaSWbfPS8QfLrnOF7fcBif7jkO3mA4Va0y77x4NJ6YPQkleQ7dMqkRL+/M0ZWW+BqQygmEBcybUY+KwsT5l+Q5qCJDoVAoGYQAaOzwY21Da6ZFoTYzZjFrbBVmjq7Ute9++ZZGLHwzdlYhmfVHtTKXb2nE/W9tQ2t371JNaZ4d91wyyrCioSbvxwvON83XQKJyKguduHVGHYaW5cXk//qGw0mVQaFQKBRzyYaNMHSZKc2kY23ezDLSZUtgtJxktsTfOqMOt8yo15VWb/56tikmu31fuvc/zp6IGaMqwAsEPCEQIv50xM9AWBAgCAAf8REkRP5LfxsPteM3r2/VLO8X54/A8PJ8hHlZOTHlAbwggBcQLWNHUyfe2qwcDFSJiTXFGFjgjN6HXG7pXtp7gthzrNtw3pT0wzJiTC3JgV8grG2fNrjEhXynPeqzhI0YYas980knFaO62C1ewzBgI/+5iK8jjmVw1OvHO1u0g+7+aOoQDC/P782DBdhIHtE/hsGGQ+3406q9+isjwm+/NQbnjSyX5c/I5Aa+2t+Ga5/9Qnd+8r4m2T5Fqb965qO9uP+t7Ybz08o3VajNjIxsUmb0BFNzcAzGDy5OemcBIeLgpRZQT28ZZuZldjl6romHBTBkgAcCEBk0pYFUGqQJBIKIoz0h5SCHFEq2wjCIUQZsbORzRKngWMQoCfIBOX7AZxmAQe/7n2y/YVZ/k+4+MBF6bEmMGE4nCmarx1harzzBsICR97yjuGkk2XxThfqZyTBKbp7XNrRq2nkEeYIv9rdZKp+ZZaRDXrPKEQA0HO8xRyAKJYchBAgTorzl0WKSfZ/N6m+s7rfktiRKMxYcy+DeS0dHNzqocdfFo2KUBY5lcN+3xujezUQAXHn6SYrnHTYW159diz9FNo3oQZLm3ktHZ4W/GTozYzJq9iWBsIBbXt5guQyU7EA+9c6xDASBIBAWYndnMeLAosXwgaLNECf9gmZgeDasudOPXUe7YpYAnDYWdRX5uv0lKeVDoVD68tiVE3DZhEGqaRKNGfGwDHD92bW48+LRfa6949XNaO/R9qcDaNtmLnl7G/78UUOMjssywAWjyrHlsDdlO0+j0GUmGelUZrTsPubNqNMdkFLJt4AWqdh6GPXpoZaXEVK1T1mzqwVXP/O5rrL0yKpVD0/OnoiLT6nWVV488bN2gkB0yW7WmnSqweGSbSOJMHJPSnInOr62oTXp9pRq/WRLeJNEtmbp9qVj1A9KKijdQ6afp942Lsm5bPVurNzRopjuxnP6KjS8QPCH93fisfd3a5aj51kHwwL+9uk+7G/twZBSD354xlA4bGxaAkvGQ5eZMgAvECx8c1vCTl469vwn+1Ca54jZYaQEAXD3a1tQ4nEYajAsAwzIc+C4ShkD8hxgGeDLfb3b6XiB4O7XthgepBLlZZRkZZawcYyuei312DVl1VMP97y+FQPynUm/yHaOwaBi0eMpn+K9p1r++gP6p9qTbSOJYAB8daAVGw+1G762scOf8DrpuEAIClw21SCmBS4b1h9sUy1fqRw19JTNAIbq0Gh6yNLf9som7G0RDWqf+nCPav8kpY2Pwp0MAiF46sM9KecTj1Jd6LkHq56nEnramJywIOBDFUUGAJatbkCB2w4b2+tVRSBEt0f2RAEj43HYWFx39rA+x7MtsGQ8dGbGJLLlFxmFQqFQKFr87LzhOGvEQM0ZlkzMyEjQmZkMoHeffYFLrPIuf9iUX7gUCoVCoRjliZV78MTKPaq2L2b5REsHVJkxCb0GlMt+eBrOGD5At53HC9dNxmlDS0GI6HtDiPj9kLYQExLxBUIQOU6iW4xDvIBNh9rR0hVEiceOkZWFkZhNvdcLEV8lW490YMk7X2vKc8GocowYmI8hAzzYcrgDL649qJj2W+OrMKK8QEVOSZbe7/tbuvDJXuXllFMGF6E84p9EIJBdG7knXsCh9h4c9Wov5ckpdNngsLHwh3h0BbQDt1FyF1vEKJuV/IowjLhVOXpc3G4sHu/dfsxKxtwJ0nMMYq9lxc3Knf4wQrwAl51DaZ4DNpaNlnu8K4BPVdq6xMVjK1FT6gEB0Oz1wxfkke+yAQT413pt55HXn10LlmHwp9XavlIWzDoZo6uLxO3Y8ntmRYNz8bis7qS6YXoN3VmWwYYDbfjZi+t1PI3E/L/rpoBlGdNsoczAiN1WMjMXRny9yG0qU10VaOzw46cvrOtjR6NkY9WkkD7T0GUmkzAabCwTASrVSFZ+NQv8gflO/O26ybrl5wWCOc98rhpgUitPPXkkYkCeA3+8aiIA4OaX1uuya5JT4rFj8XfGARB3u/IkosAJcQpcAsVTUlTDgoCnP9yLroDy+nyeg8P3Th0cvdf4vIlcSSW9DuhiZIlTAHuvh6LMhABhXsCRdh+o+x1KNmPnZM7p4hXMqEImV9SYXr87CdP3VVQl5a1PvmycYhefRnaelX9nGQhEwLJVDbpn7IvcdiyYdTJYhsGSd75Gh0/fjiYl5H2rVj+arvGJ7maSkYndTIC+4IuZCFCphvYunkm4+BRRHmojRKFQKCc2Vs2CSeRMoMklS5bg9NNPR0FBAcrLy/Htb38bO3bsiElDCMF9992H6upquN1unHvuudi6Vds1eyYwGnAymQCVVlPksSueu/+tbVi+RXRdnw2xOCgUCoWSObJpHMjozMysWbNw5ZVX4vTTT0c4HMbdd9+NzZs3Y9u2bcjLywMALF26FA888ACee+451NfXY9GiRVi9ejV27NiBgoICzTIyEc7A6BpqJq3FJfT4D5HPGBW5HSmtX6fir0Tt10AqM0a///54jBtUFI11FAjz2HK4AxsPteO19Uc0r7/+7FoMGZAXExcpHFmqCfMEvCAgLIVQ4MVzvOx7Y4cPq3epb81UoqLQCZedQ5iPlCeVzwsQiLjtU5Knf8/Fmovk5t8Wcd0v/Rc/szFu/eXn+n5ne79HwgTIv7MscLwriGBYQJ7ThkElbtg5NmrfY2N7r+n9HskzYsOz/3g3ugJhlHgcOLmiAA47i/UH2vHHD5T9j1xzxhDMmToEThuHj3Yfw92vbemTRnrvn7x6Er4xTtumwgj3XDIKZQVOw/1efJ/Z1h3Az15cnzYfOhJW+e75aMcx/PDZtZrppL7QrJlyo/ll08xMVi0zHTt2DOXl5Vi1ahXOOeccEEJQXV2NefPmYcGCBQCAQCCAiooKLF26FDfeeKNmntkUmylb0WP/IiGtla667TxMf2hlUjY/RsrTm2d83nrinejNV0/cEpYBvr7/G3DYkp/sTEZ2wPj6dW9MKplCFYlHFa+I9f0uIBQmmPviOlW7omK3HQu+cXLU9iacIE8pPyk2VuLyEssnz0/KP8wL+LqpE2GVB8VAtDviZTG4MuTRPydhGYhGzAz6eLM2itPG4qwRZbBxvYphIuWx9zvb57xkgPz4B7vhVfEFU+Kx48HvnQKbjZXlzYoxqOSKpqJiyvY5BwKc89BKxX4sFbsSs20wtchWm86cVWZ2796Nuro6bN68GWPHjsXevXsxfPhwrFu3DhMnToymu+yyy1BcXIznn3++Tx6BQACBQG/wLa/Xi5qaGqrMqJCMVu+xsyAAfCFll/ZuOws713dwD/MCelSuU0MpTzkhXlCVS2++RDbg6wk057Gz0Y5Ack4lGf6pIZVDIHZiRoPaycu3adRNquitEz3PyQq0nr3LJg7E8ucDhumjcFEoZpHs7IWWTeUTsyehJM+B5k4/yvKd+KKhFY++r8/DfDyJPM5ng01nTvqZIYRg/vz5OOusszB27FgAQFOTGMa9oqIiJm1FRQX279+fMJ8lS5Zg4cKF1grbz0hm3VOPMuILGVcqMpGnWfkmq6CZRU9IADIsg4RVzylV/DSeFCXNJGtXItlUxvt5qSxy4Vvjq3D/W+rxnCSqIunf2NiYML2S3xi18qmfGRVuvvlmbNq0CR9//HGfc/G/bAkhir9277zzTsyfPz/6XZqZoShjJMigxMNXjMeEmmIA4mzC5sMdON4VxIB8B8YNKlKdetxwsB3z/7FRs4y55w5HicehK89EJJILgKasq3cdw31vbDNUlhb3fWs0zqkbaGk58mdiNlqyfm/SIEwbUZbUc7KC+Gff7gvit28q+/BI9HxyhVTb0cNXjAcAXe+k1Mb0vsMSqb7LauiVRZJdq770tgW95SbTv0rMGluFmaMrddkHJeLWGXW4+fw6cCyD22eNwtqGVjR1+NDaHURpvhOVheq2SonKz4RNpx6yQpn5+c9/jjfeeAOrV6/G4MGDo8crKysBiDM0VVW9WmBzc3Of2RoJp9MJp9NprcD9jMm1pagqculeb2UZ4JunVMfYh9RVaBtjSwwZkIeH/rtDcz32lxeenPJLk0guNVl5geBP/6cvaKVeGAB/WrUXP5w6NHo/ZpYj1ddlEwZZ0sloycoA+GTPcTx4+fis6uSk5yyt/yuR6PnkCqm0I3m7AaDrnZTamPQOa80MmPkuK6G3P5HuU6st620LesudXFuq91YSIo+JJLVlPf00A+DlLw7i5vPr+uSTbPnZTEZtZggh+PnPf47XXnsNH374Ierq6vqcr66uxq233orbb78dABAMBlFeXk4NgA2itmOKFwge/2A3Hnlvp+78hg/MQ76rdxs3IQTdgTBCPIGdY5DntKnairT3BLH/eI/i+SEDPCj2OHTLYxZd/hD2HOu2JG95nZldjhn1pfQM9coa3yayhVyXX41U25G83Rh9J7XSK11nBXplN9IW8pw2zT4t3f1YMs/b6h1HVpIzBsBz587Fiy++iNdffx0nn3xy9HhRURHcbjGq79KlS7FkyRI8++yzqKurw+LFi/Hhhx9m9dbsbEMtvgaAPucoFAqF0j947MoJ0VmpXCNnDICfeuopAMC5554bc/zZZ5/FtddeCwC4/fbb4fP5MHfuXLS1tWHKlClYsWKFLkWGoh5f46aIpXoy3HZRPUZWFuKr/W148sM9iunmnjscpw4pUTwvCAQ7mzvR0RNCkceO+vICsBmc6v+6yYuH/qt/hsoIUp0ZKeeXF9aBZRi0dYfQGQghz8GhO8ijwGlHSZ459aX1DC8bX43XN2r72ZHfXzaht66zVX41jLYjPe+Z0XdSSt/WHURnIGxq29RCq+3eNH0YTh/au8xjxvt91ogyFLnt8PpD6PCF4PWJ/zt8IUu2+bMMUOi2o9Blhz/Eo7kzoH2RjFRsdnKJrNqabQUn8sxMsv5c1JD7FwCgmn+640uZQar+GhKRqB6yxY+DVhthIDrkAxgc9WZHHDGjZEtdW0F/vjct9LTdyiIXVv7qXPQEeXT4QmjrDuJ/nv8SrT3GYq+lisfBodBlR5HbjkK3TfzvsotKituOQlfkmNsePVfkEY/nR5a3eIFg2u/eR5NXnzLTH559ziwzpYMTWZmh8ZMoFAolfdg5po+iUuCywWGCz6VjnQF8vFufh/BMxfczm5xZZqJYSzbFzaBQKJT+TognaOkKKkabThfZ6gvGSqgy048xY60038mBi7gvd3BsjDV/IMyjrUc77HyJxw6njQMA+EM8vP7YtWWWAQpddrjsXMryJksiuRiI08M2Lvb+CSEIRmIexdeL2jklkrnG6L0o1bHeZyiHAeC2c3Da2ZRlTYTRNpIoPSDGVZK8KlMoZlLossPtYPvE5+KY2DAICcMjMH3PxYdoENPEhls40uHDq+sOa8p2zyWjcO202pxdWkoWqsz0Y4z6j5FjRhyk+DyUjJEJATp8Ifzue+My8ktCLWBeT5DHU3PGZ/wXjuRuXx5EMuYvEqzygx1HEzoEEwjQ7gth3plDMWlISTR9iBdw52ub0W5AoSEAekI8zq4vw9CyPPB8bKwnIe6/PLCmJL8gxUUSIkEwiRifqa07iHZfX1kk+T28AI5hwJPeeExKugoNS6APO9cbvDJ+ULWxLFi2Nx6TL8jjiIoN3uiqQlQVufoOzpEB2iYr60BbD1Z+fUwxr+9NGoQx1UV9lYNIPiDAvW9uVW27ZfkO/N+PTofD1jcoaIyMkeCfIMCFj6zCUW8g62yQeIHg0z3HNfvbE1GRAajNTL9HLb4GSfBZ+g7oW2/VG79DrzGyje3r8dlKCCGgHu4pJyJSkEa96H1X9LzDWnnpVRqsiB+UDTGJlMhm2azAyPid/khwlLQixdeoLIpdcqoscuHpOZPwtMI5vS+FWv7yPNY2tOraVRUWxHXndP1RRYZyosIL1rwret5hrbwIgMYOP9Y2tKqmmzW2KhpwUY6ePkya6Xh9w2F8uud4dDlS6tMqCpPvF61Cb397IkKXmU4AtOJrpBp7Q0/8DmqMTKFQjKLVbyzf0oj739qG1u5eg9vSPDvuuWSU6sCu5ki097rYRYtsWcTIpXhJ6YQuM1HSgt5t4kqut5XsWlKdXjW6fT1bp3OXb2nU7QRRj3vzVJ9XMqTLlUD8sqoaVriCz0TdmoGZcpuRV7J9gtZ1N5xTi2WrG0zvayjGoX5mZFBlJjtIxbmXHnsbl43FOfVlhu1tCCFYtbMFAYPrTcmWZwVG7kGv3HryNLsOkn0WVmHVM85E3ZqBmXKnmley16faxvqDI7pcgiozMrJZmVEL/tgfSdZ4jTr/o1Ao2UQys2YnWn9vBtRpXg6gb822fyEZr8Xft5aDJ2pvQ6FQsgmjfdKJ2N+nGzozkwGssv+wGkEgCAkCwjxBmBc/izsiIscEQdypoHEuGOax42gXOnxBuO0cBpe4IRBEzgsICQR8pJwQT3CorQcrth3VlK++Ih9uOxfxPyKXVcwzzAvRc5I8JxIuGwunnYOd6/UhYucY2DjRKZedE31x2DkGHb4Qdh7tUszr7LoyDB+YDxvbe72NE/OQjtk5sQzpnI1jYZfScwzsbG95chlsHAMWDLYc6cD6A234y5p9uu/xumlDMWN0JQSB4OpnPtdM/9L1UzG5tlTxF7PV72qu/lpPVm41n04AcOuMOtx8fl2fvLSuUyJ+BsWsWV4jMzO52t9nA3RmJovhBYKFb25L+FJKx+56bQsYMBAI6R2EI07HepUCcWAOyc/FHYsO5kJvmj7KhRB7vfxYSBr8NZyTZQtqg68VcAxgt7Gws2x0sI4O6tIxmcIQHbhZ2UDPxSoR8mN9FAVZORwDLF2+Ax0JHMwloizfgWeuOV3XgMMLBNc9/4Vqmu2NXvzqwpNNH3hDvIAQL36uLcvDSaUevLHxiG738K9vPIJvTRgEQLxntevK8h3wODhsb/SiwGVDgSsfgHhvgFgPv/73FtV39df/3oKqIndK9ZCo7FzAqNxq9Snxt8/249yTy6P1SQjgC/G46zX16xJR5LajoaUL+493R48JhKDIbVd9b7QMxBPlq4RACJYu36HYhhgAC9/chpmjK3NCic1m6MxMmqH2HxQKhUKRk20717IFOjOTxehday1y2+GWxaHxh8QQ9ommKovcmY1rlAgrYjClO66TmeWZLbsv0h60kNoHAN3l6807URu16vkotX8tubz+EHqCfJ80HgeHQpddNZ9k6yHdhAUCf4iHP8TTEA45CrULTB2qzKQZvcEfn55zalRTV/MhQiDGrHk6Q3GNEmFlDKZ02xiYUZ4V9aF3hu+F66agMxAyVL7evOPbqNVxt9bsatFlByPJJd89F48vyOPhK9Rjbj323k488t4u3eVJ8DLlwhfi4Q8J8Id4BMLiZ1+Qhz/ce7z3L/JdShfiEYg77guK3wOy6zOpwLjsLFx2Dm47B5edg9MmfnfZ2egx6XtrdxD/3apt+7bo22Nx+tDSyPUsNh3uwP88/6XmdTefNwLTRpTpfkeld/u9bU14RsUuS7LDSubd1/sumREU+ESHKjNpRiv4o+THYHJtKQDxhUsUODCe37y+BeNrijO+7soLBL95fauqncG9b2xNSdbh5XkYXp4HADjeHUhO0DSVZ1V9DC3zoLzAieZOZXkqCp0YUubBd5/8xFD5evMeWuZBc6c/Lc8cAIaV5+mWq7HDpyiTJJdkmxbkhT4KRU8ojOd1GB4zAK599nMEwtk1I8IyiFUy7CxctoiS4eAinyPHo+nY6HFJSZErIy67eJ3bwcJpExUXGHicvECw/kC75vO7YFR5TDsZWVkAloGqzR7LAFdOroHDxhp6R4eWefDmpkbF8wyAt7c04a5LRifVdo3295TkoTYzGcCIvxVqY0OhUCiZJRWblhMtOKSZ0ECTWY6RYGF0LZVCoVAyy3vbmpK+lgaHTA90mSlD6A0WlupaKgPgwctPwQWjKpLO4/3tR3H7K5sU/STI8/9yXytu+NtXmnku++GpOG1o/59aTUd9iNP3bWjpCqAs34mJJ5VE21Gq5avlLZGJZ64ll16Znv/x6Zhc2/cX99qG47jmWfXt6QBwzyWjMLw8P2rHEoizZwmEE//3hwXRHibyPyD7LqXjs8yY184xcEaWqpy23qWr+P/SeZdd9Gsk+TeS7GmcNhYOjsWB1h70BHkMLHBgQk0J8py2aBo7x0TDEFjZvvTm/cyafTi9tjRpxYMGh7QeqsxkEI5lNKcuJ9eWorLQhSZvcjM0BMDD7+7EdycNTurF4QWCh9/dqeonQZ7/BaMqdK0RXzCq4oR4kdNVHxeOqbSsfKW8zSwjGdTk0ivTWXUDE8p0Vt1AXddfO63WknasJx7ZgDwHHrr8FAR50keRMqJQBeIUK7+CIhXiCUJ8GF3Wm6mBYRBVbBwRJ49qyp3HweGTPcex/mC7TKFiY+yFev/3Klb1FQUoL3DiWGdAc6dcqv5g9PT3lOShNjNJIt/lUpbvBAjQ0h2wRON+Z3Mjfvr/9EVEVqLYbYfDZnxVMRgW0K5je6o8f3GLblgxbaHLZspWakJED8ECIWAZJubXXDaRrvoAEtdJICxYXn4671EvqcqUyXvS+97lOTh4HBwYhjH1fQgLRFWxOVExwx9Mrnh9zgY5qZ8Zi0kUZ0OO0ZgbhBAc7w7iYGsPDrX5In/i54NtPTjc5ktZZj0dY7ry9/rDqoPEiUam6yMd5Wf6HhORqkzZcE/dQR7dCfzoUKwhVRvGXInRlCtyyqEzMwbREyMk3kqdEILW7mBCRUX67g+ph6RnGKCywAkby+Bgu/EXasl3x+KUwcWGr9t0qB13vrolqfx5gWDrkQ60dodQmmfHmOoiUzT7NbtbsPjtrxXP33XxSEwbUZZyOWZjVX0A+upk6rABlpUvYeU9ZkqmTNyT3vdOD9n6PiSDkWeh9U4AvXWjt77N2NWU7TGasklOI+M3VWYMoGcdW47TxuKkUjcOt/sTeiGVwzBAZaELg0vcGFziifx3o6bEg8ElHlQWueCwsQiGBYy85x1DcZKqilz4eMH5SdvMnLX0A03bgWTzT1YepWeQbnmyAVon/Q+t904vJ+qz5wWCab97H01edQMfqW8EYGk/lyvvaLbJSZUZGWYqM1b4fGEYoKLAhapiFxyctk2L1xfC9qZOU2WgUCgUCkUv6YolRW1mLMIKny+EAE1ef9K7lSgUCoVCSSfZ6P+MKjMGSMbnyy8uGIH6igLTZNh5tBN/eH+3ZrqhAzyoKHSCEAY8IeAFcZcDL8j+CIEQ/Y+YY2Gh95x0bZgnKU15UyjZRqHLBo/DBo5lwLIAxzBgWQY2lgHLiFuCOflnJpKOZcCxLDgG0fMsw8CKzXSEEOxr6cbXR7uSzmPy0BIMyHeaKFVimjr8WH+wXfH8xJriPs7jrOB4VwBr97XpSjt5aAlCPLFUbr3ypOs5KaFXzmyMJUWVGQNoxdmQI60t3nJBvalri7xA8M8vD2mu7b7/y3P7xRp5vEIVDAu46NHVaPYq+4UYmO/Ecz85PXI9ItcL4CMKW1Spk5Q5SVkT5Epf37ITKoKR/IU4RVB+Te+1UFUoY64RgLAggCeIkTGRwhkWBLR0BQ3ZUVFEzN6RxMqUG0kR6lWCxP/JKE4DC11oON6DQFh9o0Ai8pwcJg4pgYNjE5QDHbJKn8W0Ni5eRvEzIcBPX1B3QHe43Ycnrp4EO8eK983G3Wsk31RdLBixmXnhf6Zi+kMrFdMwEGfPX/npmUn3qXptD1+64YyssJnJxVhS1GbGIEpxNuRYbfV9osf6ONHvPxFadfLk1ZMwc3RF7yxcVGmKKEUyJStWCUOM4hWrcPWduYteI1MUY5SvPuWoKHh9lD30zSdOIRWPAbwgoLU7iO2N1L6MYg6p2onkSr+VTXJSA2AZVjjNM9vPjFkyZLsfADM50e8/EbROYnl9w2Hc8vKGTItB6Sc8duUEXDZhUMwxo47lcuUdzRY5c0aZWb16NR566CF89dVXaGxsxGuvvYZvf/vb0fOEECxcuBDLli1DW1sbpkyZgieeeAJjxozRXUZ/8ACsR4Zs9iRpFSf6/SeC1kkvencf2iPu8pOFF0TPu2bnqwQhJGZJkWUQ9QCc6Hi6UKqHbIAB4LSLMaHcdhZ2GyvaEwoEvhCPDh1OP+NnZpId8HPlHc0GOXNmN1N3dzfGjx+PH//4x/je977X5/yDDz6Ihx9+GM899xzq6+uxaNEizJw5Ezt27EBBgXlGtcmQDXE2skGGTHKi338iaJ30omXjZobPDPmUfHzeYZ7gj1dNzKpf3FZi1CcVLxB0+EJo7wmi3RdCR08IbT1BtPeEIt+DaJN9bveF0NYdTMrGiQCRWFUCBGJDEceh2GNHiceBQrcN721vRlDFHqnYY4+xE1FyLNfU4cdPX1inuhSTK+9orsgpkTXLTAzDxMzMEEJQXV2NefPmYcGCBQCAQCCAiooKLF26FDfeeKOufK2amaFQKNmPlev/epxosgxQ4nFkZcwwKwiEeXSqKBsFLhucttTiWQmEwOsLIZxmi3ePnUVJnhNFbht2N3cjyCdWfrLFAV5/IGdmZtRoaGhAU1MTLrzwwugxp9OJ6dOn45NPPlFUZgKBAAKBXgt2r9druawUCiV9GJn+njW2Ck/NmdRnOaDShPX/tQ2tmt7ABQIc7w4mXUZ/o9MfRieyK0aXXnpCAnrafTjcrp6OAGjs8GNtQ2tOzWwkIhuWmvSStcpMU1MTAKCioiLmeEVFBfbv36943ZIlS7Bw4UJLZaNQKJkhGTuFWWOrMHN0pemdcjY6DqNYx+lDS1BT6sHB1h58ocMXS663j2wxAtZL1iozEvHTs4QQ1SnbO++8E/Pnz49+93q9qKmpsUw+CoWSHjJhp0AIQZAXEAyLf4HI/yAvoDugb4bhytNrUFHoislHyiOaJy8gGOZjjseUFxYQ4AWEeAHZYRiQGJYBHDbR0NZh4+C0sbLvCT7bWDgjf7FpuNg0Ca53xuURf42DY2HntH3W6DUUnz/zZJwxfIDu9NnoWE4vqbxrmSJrlZnKykoA4gxNVVVvpTU3N/eZrZHjdDrhdGbOgyKFQjEfXiBY+Oa2hIal0rHbX9mE/cd7EBZIjBIQ5PkYBSIQivxPoFgk+pwqL39xMOU8zIBjmT5KhTNu8Jd2/IjHuL6Kg4JSIikkHKsdXy5VCIBARNEzA0EgKPHY0dajvKOpxGOH1xfCu9uOGk6fawgCwZ2vblZ81xgAC9/chpmjK7NqySlrlZna2lpUVlbi3XffxcSJEwEAwWAQq1atwtKlSzMsHaU/kMn14Fxai05EuuSXylmz+5imfYrXH8aSd742XYb+Ai8Q+AQevhCfaVFyjraeEG7U8G6cSvpcIlttgjKqzHR1dWH37t44Qw0NDdiwYQNKS0tx0kknYd68eVi8eDHq6upQV1eHxYsXw+PxYPbs2RmUmtIfyOR6cK6tRceTLvm1nFMmYsgAD0rzHKbJoIf2niAOtflifKzYOQaDS9wo9qRXFr0QIi6hhQXRc3NYEMAL8u9iCBDpOx8Jm0FDZuQ+tkgICem/nWN7v3MMAiEBzZ3qYSCA7LMJyujW7A8//BDnnXden+PXXHMNnnvuuajTvD/96U8xTvPGjh2ruwy6NZsSj9J6cDrcdWeybDNIl/xK5WiRrMt5QkjvYC4Q8LIBPhT/XTa4S99DYQFbGzvQ1h1EntOOYWV5EBBJl0A5MPo9vrzE3yPX8L3xwcIq3ykiknNDG8uCY0VFDwzgYFl4nBxskThSHMvK0vb+7wyEwfMEbgeHgflO2G0y5aDPNdrfbZw8f2Pf1+w+jnte39LnHuVhTb4xTv391GsTlGp4Bz3kjAfgdECVGYocPb5BSjx2LP7OOLAmL5sIAsFdr23WXGu3omwz0CN/kduO+RfWgwjyAVQakIWoshDzPW7wDoUFfLjzmGGbCJYRo2DzAmIGbzpum0/CX/UJvvcqAuIxceBlVb9zLCvLz9h31fwjg778O9uP/P/wAsHV//cZWroSuwLQ6//GqPNDK6HKjAyqzOQ+Ztpn6P3VQaFQKP0RPTMq2RJssl84zaNQAPPtM7JtnZeSPTAMYqbvOZaB9MOdEPSNEi6QrN4mTTlxYBhR0dAzC6mnD7TS2aRVUGWGkrVY4etAr+8HK9aDM7kWLRl7SgMxLxAIAkS7CyJ+Fv/3Lg1J6aRrNhxsx29e36pZ1s/PH4HhA/PFa6U8ZXn1ygDwgiD+l6U72NqD/2xq1CxnxMA8lOQ5UOiygwC9SgYfW64gJLh3It67IKCvnJHrQyEhJj3FOlhG3DrOMuJSEBtRKjkm8pmJfI/8Sem5iJ2LcjomJl9OypsBWNlymHK63v/SshTHIpreppqu9z/HQpSVYcBG5E0kZ/SPiZcBooItXR8nK8Mwpvu/scrZpFVQZYaSlWj5FWEA3PvGVkw6qQRg0DtIRgbGvgOnOEAxDFCa50Criov5Yo8dje0+vPLVob6/xvnY/KSBsjcdlNPxAtx2Fr6Qsi2Iw8bisfd24pF3EVOu/H5iB+qIQhIplxdkg7csXTpnEP74wW7tRCaw+1g3cKw7LWVpwcUNOr2DbeKBKn7glQbYhANcJL184Ow78EM1XeLyAY5jI+mgS07VATr+nuI+91VSeuvqRIldZSV6A6vKA2ZqkUvBJqnNjEXkuh+RTENtW9IHw2j9so38kuQY+IM8jikYGALAiIH5KCtwiIOUbIBm436xqg+8wP7jPVih4nDs+6cOxthBRX0H3sigLO1Mif5Cln6FM70DasyvcNkAzTIMGDDYfKQdbd1BlBe4MGlICZw2VlGZoFCygWyxdTELajOTYXLdj0g2cKLZtjAMUOJ2oCTPDreDg9vOwWUX/7sdHFw28X/vOTaaxuOwwe1g4bJxcEXOu+2cuEVUNq0tKhiIHbwZ44NxJv3MpOM9ou8vJVfJRVsXs6AzMyaT635EsgW9MzMLvzUadRUFCIYFhHgS675e+h75C/Fx8XDCPBo7/OgKhMExDDwODiGBxLiyDyWKp5Pl8XEkpK2r8jg5do6Ji13T1129Xe6yXnJbLztm50TfFodae9AT5FGa58DY6iK4HFysm/u4a6T4O0aUp3TPcNL3l9If6C8rA3RmJkPosfPIxpgW2Yje9d85U4emvS4lY9qoghQTLDBWAQrwAkJx8X5CvHJ6KWaQqJj1Bh4MhQkC0XS8THGLjSckR7Kx8YcEAPqCIqYDG8vEKkwJlB8Hx8IeFz/IzjF4a/OR3oCC8YpZgiCEdq5vvgmv4VgQgL6/lH5BLtm6mAVVZkxkbUOrqjM2KabFmb97Hy47lz7BcpQwLyh6gCWR8+f/74dplCh7YBjAaRcDA0oQItZJr0IkKjjZthNHdJyXfTGCOBZQiyuZrTFprKS//MKn9H+oMmMieu08jnq1415QtDnWFQRUjFEpFCPoDZB9othzUdshSi5BlRkT0bt//+bzhqO2LB8hXkAo4r49LIhLC6GInUaYJwhG/ovHSCRNb7reNHHXRvIMCbHpQjli62E2DAPYORZ2loHdxsLGiksUNk5curBzvXYgdtkxG8vCYRMNZ2OOy9KJadjo0klvmr55OyKu3W0cg14rjP7HZ3uP46H/7lA8f9tFJ2PqsOyb2dhyuAP3vqHtR0fve57LWOHjiUKxEqrMmIheO49bZ56csalaXohVmOIVqmA4sdIkV6iC4YjCFJNGNLgN8wrXystQTSfahyQqJ1kIgWhXAgDB7Fja6FWYmIgyxMJuY2BnFRQrLqKAsaKdh53tq1jFpOPYGIUroWKlprwlLIPVbLe8QHDzi+sUzzMAXvhsP26aPjzrlism1BTj6VV7TPXTkYtQ2z9KLkKVmf/f3p0HNXn/eQB/5yDhClHEEFChWG0V0VaxWo/Woy71rIyz/VkHr/HXztBWxTKt2uqOjlMLa7uu25mq1Vanrbr663qs7TBWbK3iD9QtHsWrgheiYFCRQ5Rg8t0/II+EGxKSPPB+zTCYJ9+EJ5/Q5s33+R5OpFIqsGJKJN7ddgoK1D/Pf8WUSLf+D6BqLQ2V7Mbs2HY1rrSI6sBjlQbhPqkR0Cqrg1LtXq2qHquqoGT3+Pra1Q5mUhCrJwhKz207l7o9bPXtUFzVxjOCVUsoFagOTDVCjtTjpYD5ibVZ48ambfgnOvtqXHfizRTop2nw/EX1/X//7v9ce1IuVlRubtZ72JHGDpHnY5hxso48z78tKaoXXVOrAB/IK4jZVuS1uzRYM1jVuqyYnnMX32Vct9udWu/jhTdeCMFzxoCGe7VqhLaGetgcvSxptfVytXBH69rO3ix26PHucv52ibtPwWN0lLFDJA8MM21AbntaUNtSKhXQVF9OasqBc/n4r1+z63TxlzyqxLbjuS4fq2C7LPk08Dzt/aq0C0VV3//MK8ZnKRebfN74Uc+il8EfFuvT9YBqTlG3TV+3Hau5RpC5etp6paXu9HhbO9t0eEcuT8qJRq2EVlVjOrq0ppDKbgq7baq6V3X7mlPkbf8uKH6Ef/yR1+TP7Ahjh0g+GGbaSEec50+OaauxChar/Zo0Umio8b2y1v1P17ppvL20Zo7tcZUWaFRKmBuZGqQAsPWfV1FpkdcGjrbA4CWtUfN0QUJbYPCqFShqBgYpONQOFzUWFay5Ls7T9jXDSe1jVZf3nLm3kcUqkJZ9t8OPHSJ5YZgh8hDNXafoXzekw0+rrrMQX+1QYvvuaYFBAKh4Uv9J1V5EzxYY7D7s1fV82Ett7RfUqxMuavVOVP2sp4+TAkOtxzk7MHgyOYz9I6qNYYbIQzR3DMLpmw8c+jn22wzU+NCv0xPQQM+ASgUvtaL+Xofq9udvF+N/MvPsxv0E+WsQP/pZjH3eUG846UiBwdNx7B/JDcMMkYdwdAyCr0aFviEBiAwJQGRoAPqFBsAY4G0XOLxUrgkMsQO7YemEvhw3JmMc+0dywo0miTyExSow8t9/a3CsAgB08dMgYVxvXC18iBxTGbJNpY2uKB3op0Evgz96GfzR2+CP3gYdehn8ERygZS8IEXm0lnx+M8wQeRDbyqtA/WMV6pvNVPK4EjmmMuTcKUNOYRmy75Qi21SGvKJHDf4cnVaNXsH+6NXVH72Dn4acbp18WrSrNRFRW2GYqYFhhlzN0c35nLUnTrn5Ca4WPkS2qbSqF6c67Ny4Vw5LA6OCvb2UVT05Xf3RO1iHZ6vDTnigL9SqpqeW14ebFRJRazDM1MAwQ67krCDSlgGg4okF1++WS5epckxlyDGV4WrhwwanVHupFIgI8pN6cHoZqkJORJAftOqGFzHkZoVE1FoMMzUwzJCrNLQ5X2OXiDzJE4sVN4seIftOKXIKqy5bZZvKcKWwDOUN7GmlVADhXfzqjMt51uCHo5cLZV0PInIvhpkaGGbIFWyDdxtbJybQT4P//NsLshuTYhVA/oNH1T05Vb04tx40PB7HRqlAg2vc2BZeO7ZkLC85EVG9WvL5zanZJCvuGn9htQoUlZtxp6QCptLHMJVU4E7JY5hKq75fKSxrNMgAwP2HZszZ2r43KaypscX6WrpZIcfdEFFjGGZINtpi/EXNkHKn9DEKa4WUO6UVKKy+Xd/u1y0VqvdGgI+Xw8/j6UoeVeJ2E+EOaN5CgRx3Q0RNYZghWWhoPEpB8WO8u+1UnfEXVqvA/XJzVQ9KjZByx9ar0sqQEuSvQVedN4IDtDDotAgO8IZBp0VReSXWpl5u8vH/8bcXO8SeXRlX7mHG5uNNtmtqocCWvu9E1DExzJDHa2oDRgBI/MdZ7M7Mg6nMDFPJYxS2oidF7+NlF1AMAbbQUvU9yF8Ltar+SxsWq8APx2+gsLThBewMOi1CO3kjr6i8ReclR6GdvNFVp3WoHharwL/973mnb7xJRO0PBwCTx2vuX/nUMf33Oy93iN4uoo6m3Q0AXr9+PT7//HPk5+ejX79+WLduHV555RV3nxa5SHM3YFQrFW7/C91iFfX2CHnCubmDI/Vo6LG1Nff3g4jaL48PM7t27cKiRYuwfv16jBgxAl9//TUmTJiACxcuICwszN2nRy7Q3A0Yf/j7UI/4C50zb+y1th7OGndDRO2fx19mGjp0KAYNGoQNGzZIx/r27YvY2FgkJSU1+XheZpK/pjZg5Jol7RPfd6KOrSWf363bbMVFzGYzMjMzERMTY3c8JiYG6enp9T6moqICJSUldl8kbyqlAiumRAJ4unqsje32iimR/EBrZ/i+E1FzeXSYuXv3LiwWC4KDg+2OBwcHo6CgoN7HJCUlQa/XS189evRwxalSGxsfFYINMwfBqLe/pGDUe3N6bjvG952ImsPjx8wAgEJh/5eXEKLOMZuPP/4YiYmJ0u2SkhIGmnZifFQI/iXSyPEoHQzfdyJqikeHmaCgIKhUqjq9MCaTqU5vjY1Wq4VWq3XF6ZEbqJQKjxjkS67F952IGuPRl5k0Gg2io6ORmppqdzw1NRXDhw9301kRERGRJ/HonhkASExMxKxZszB48GAMGzYMmzZtQm5uLuLj4919akREROQBPD7MTJ8+Hffu3cOqVauQn5+PqKgopKSkIDw83N2nRkRERB7A49eZcRTXmSEiIpKfdrPODBEREVFTGGaIiIhI1hhmiIiISNYYZoiIiEjWGGaIiIhI1jx+arajbJO1uOEkERGRfNg+t5sz6brdh5nS0lIA4P5MREREMlRaWgq9Xt9om3a/zozVasXt27eh0+ka3JyytWybWN68eZNr2LQh1tk1WGfXYJ1dh7V2jbaqsxACpaWlCA0NhVLZ+KiYdt8zo1Qq0b179zb9GQEBAfwPxQVYZ9dgnV2DdXYd1to12qLOTfXI2HAAMBEREckawwwRERHJGsOMA7RaLVasWAGtVuvuU2nXWGfXYJ1dg3V2HdbaNTyhzu1+ADARERG1b+yZISIiIlljmCEiIiJZY5ghIiIiWWOYISIiIlljmGml9evXIyIiAt7e3oiOjkZaWpq7T0lWkpKS8NJLL0Gn08FgMCA2NhZ//fWXXRshBFauXInQ0FD4+Phg9OjROH/+vF2biooKLFiwAEFBQfDz88Mbb7yBvLw8V74U2UhKSoJCocCiRYukY6yx89y6dQszZ85Ely5d4OvrixdffBGZmZnS/ay14548eYLly5cjIiICPj4+6NmzJ1atWgWr1Sq1YZ1b5+jRo5gyZQpCQ0OhUCiwb98+u/udVdeioiLMmjULer0eer0es2bNwoMHDxx/AYJabOfOncLLy0ts3rxZXLhwQSQkJAg/Pz9x48YNd5+abLz++uti69at4ty5c+LMmTNi0qRJIiwsTJSVlUltkpOThU6nE7t37xZZWVli+vTpIiQkRJSUlEht4uPjRbdu3URqaqo4deqUGDNmjHjhhRfEkydP3PGyPNbJkyfFM888IwYMGCASEhKk46yxc9y/f1+Eh4eLuXPnihMnTohr166JQ4cOiZycHKkNa+24Tz/9VHTp0kX8/PPP4tq1a+LHH38U/v7+Yt26dVIb1rl1UlJSxLJly8Tu3bsFALF37167+51V1/Hjx4uoqCiRnp4u0tPTRVRUlJg8ebLD588w0wpDhgwR8fHxdsf69Okjli5d6qYzkj+TySQAiCNHjgghhLBarcJoNIrk5GSpzePHj4VerxcbN24UQgjx4MED4eXlJXbu3Cm1uXXrllAqleLAgQOufQEerLS0VPTu3VukpqaKUaNGSWGGNXaeJUuWiJEjRzZ4P2vtHJMmTRLz5s2zOzZt2jQxc+ZMIQTr7Cy1w4yz6nrhwgUBQBw/flxqk5GRIQCIS5cuOXTOvMzUQmazGZmZmYiJibE7HhMTg/T0dDedlfwVFxcDAAIDAwEA165dQ0FBgV2dtVotRo0aJdU5MzMTlZWVdm1CQ0MRFRXF96KG999/H5MmTcK4cePsjrPGzrN//34MHjwYb775JgwGAwYOHIjNmzdL97PWzjFy5Ej8+uuvuHz5MgDg7NmzOHbsGCZOnAiAdW4rzqprRkYG9Ho9hg4dKrV5+eWXodfrHa59u99o0tnu3r0Li8WC4OBgu+PBwcEoKChw01nJmxACiYmJGDlyJKKiogBAqmV9db5x44bURqPRoHPnznXa8L2osnPnTmRmZuKPP/6ocx9r7DxXr17Fhg0bkJiYiE8++QQnT57EwoULodVqMXv2bNbaSZYsWYLi4mL06dMHKpUKFosFq1evxowZMwDwd7qtOKuuBQUFMBgMdZ7fYDA4XHuGmVZSKBR2t4UQdY5R88yfPx9//vknjh07Vue+1tSZ70WVmzdvIiEhAQcPHoS3t3eD7Vhjx1mtVgwePBifffYZAGDgwIE4f/48NmzYgNmzZ0vtWGvH7Nq1C9u2bcOOHTvQr18/nDlzBosWLUJoaCjmzJkjtWOd24Yz6lpfe2fUnpeZWigoKAgqlapOijSZTHVSKzVtwYIF2L9/Pw4fPozu3btLx41GIwA0Wmej0Qiz2YyioqIG23RkmZmZMJlMiI6OhlqthlqtxpEjR/Dll19CrVZLNWKNHRcSEoLIyEi7Y3379kVubi4A/j47y0cffYSlS5firbfeQv/+/TFr1ix88MEHSEpKAsA6txVn1dVoNOLOnTt1nr+wsNDh2jPMtJBGo0F0dDRSU1PtjqempmL48OFuOiv5EUJg/vz52LNnD3777TdERETY3R8REQGj0WhXZ7PZjCNHjkh1jo6OhpeXl12b/Px8nDt3ju8FgNdeew1ZWVk4c+aM9DV48GDExcXhzJkz6NmzJ2vsJCNGjKiztMDly5cRHh4OgL/PzlJeXg6l0v5jS6VSSVOzWee24ay6Dhs2DMXFxTh58qTU5sSJEyguLna89g4NH+6gbFOzv/32W3HhwgWxaNEi4efnJ65fv+7uU5ONd999V+j1evH777+L/Px86au8vFxqk5ycLPR6vdizZ4/IysoSM2bMqHcqYPfu3cWhQ4fEqVOnxNixYzv8FMvG1JzNJARr7CwnT54UarVarF69WmRnZ4vt27cLX19fsW3bNqkNa+24OXPmiG7duklTs/fs2SOCgoLE4sWLpTasc+uUlpaK06dPi9OnTwsAYu3ateL06dPSkiPOquv48ePFgAEDREZGhsjIyBD9+/fn1Gx3+uqrr0R4eLjQaDRi0KBB0pRiah4A9X5t3bpVamO1WsWKFSuE0WgUWq1WvPrqqyIrK8vueR49eiTmz58vAgMDhY+Pj5g8ebLIzc118auRj9phhjV2np9++klERUUJrVYr+vTpIzZt2mR3P2vtuJKSEpGQkCDCwsKEt7e36Nmzp1i2bJmoqKiQ2rDOrXP48OF6/588Z84cIYTz6nrv3j0RFxcndDqd0Ol0Ii4uThQVFTl8/gohhHCsb4eIiIjIfThmhoiIiGSNYYaIiIhkjWGGiIiIZI1hhoiIiGSNYYaIiIhkjWGGiIiIZI1hhoiIiGSNYYaIiIhkjWGGiGRLoVBg37597j4NInIzhhkicou5c+ciNjbW3adBRO0AwwwRERHJGsMMEbnd6NGjsXDhQixevBiBgYEwGo1YuXKlXZvs7Gy8+uqr8Pb2RmRkJFJTU+s8z61btzB9+nR07twZXbp0wdSpU3H9+nUAwKVLl+Dr64sdO3ZI7ffs2QNvb29kZWW15csjojbGMENEHuG7776Dn58fTpw4gTVr1mDVqlVSYLFarZg2bRpUKhWOHz+OjRs3YsmSJXaPLy8vx5gxY+Dv74+jR4/i2LFj8Pf3x/jx42E2m9GnTx988cUXeO+993Djxg3cvn0b77zzDpKTk9G/f393vGQichLumk1EbjF37lw8ePAA+/btw+jRo2GxWJCWlibdP2TIEIwdOxbJyck4ePAgJk6ciOvXr6N79+4AgAMHDmDChAnYu3cvYmNjsWXLFqxZswYXL16EQqEAAJjNZnTq1An79u1DTEwMAGDy5MkoKSmBRqOBUqnEL7/8IrUnInlSu/sEiIgAYMCAAXa3Q0JCYDKZAAAXL15EWFiYFGQAYNiwYXbtMzMzkZOTA51OZ3f88ePHuHLlinR7y5YteO6556BUKnHu3DkGGaJ2gGGGiDyCl5eX3W2FQgGr1QoAqK8DuXYIsVqtiI6Oxvbt2+u07dq1q/Tvs2fP4uHDh1AqlSgoKEBoaKgzTp+I3Ihhhog8XmRkJHJzc3H79m0pfGRkZNi1GTRoEHbt2gWDwYCAgIB6n+f+/fuYO3culi1bhoKCAsTFxeHUqVPw8fFp89dARG2HA4CJyOONGzcOzz//PGbPno2zZ88iLS0Ny5Yts2sTFxeHoKAgTJ06FWlpabh27RqOHDmChIQE5OXlAQDi4+PRo0cPLF++HGvXroUQAh9++KE7XhIRORHDDBF5PKVSib1796KiogJDhgzB22+/jdWrV9u18fX1xdGjRxEWFoZp06ahb9++mDdvHh49eoSAgAB8//33SElJwQ8//AC1Wg1fX19s374d33zzDVJSUtz0yojIGTibiYiIiGSNPTNEREQkawwzREREJGsMM0RERCRrDDNEREQkawwzREREJGsMM0RERCRrDDNEREQkawwzREREJGsMM0RERCRrDDNEREQkawwzREREJGv/D0cb+5Y5YdxUAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " observation\n", + "0 68.0\n", + "1 12.0\n", + "2 45.0\n", + "3 38.0\n", + "4 49.0\n", + ".. ...\n", + "995 27.0\n", + "996 47.0\n", + "997 53.0\n", + "998 33.0\n", + "999 31.0\n", + "\n", + "[1000 rows x 1 columns]\n" + ] + } + ], + "source": [ + "data = pd.read_csv(\"C:/Users/Vladimir/Desktop/Ironhack_labs/Week03/Week03/Descriptive-Stats/data/ages_population.csv\")\n", + "\n", + "sorted_data = data.sort_values('observation')\n", + "\n", + "\n", + "plt.plot(sorted_data.index, sorted_data['observation'], marker='o')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Observation')\n", + "plt.show()\n", + "print(data)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "could be something like 35-45????\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 2.- Calculate the exact mean and standard deviation and compare them with your guesses. Do they fall inside the ranges you guessed?" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "36.56" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_mean(data['observation'])\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "it does, i guessed 35-45.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 3.- Now read the file `ages_population2.csv` . Calculate the frequency distribution and plot it." + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " observation\n", + "0 25.0\n", + "1 31.0\n", + "2 29.0\n", + "3 31.0\n", + "4 29.0\n", + ".. ...\n", + "995 26.0\n", + "996 22.0\n", + "997 21.0\n", + "998 19.0\n", + "999 28.0\n", + "\n", + "[1000 rows x 1 columns]\n" + ] + } + ], + "source": [ + "data = pd.read_csv(\"C:/Users/Vladimir/Desktop/Ironhack_labs/Week03/Week03/Descriptive-Stats/data/ages_population2.csv\")\n", + "calculate_mean_from_frequency(data[\"observation\"])\n", + "\n", + "sorted_data = data.sort_values('observation')\n", + "\n", + "\n", + "plt.plot(sorted_data.index, sorted_data['observation'], marker='o')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Observation')\n", + "plt.show()\n", + "print(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 4.- What do you see? Is there any difference with the frequency distribution in step 1?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "There is a big difference, the second graph is much less wide.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 5.- Calculate the mean and standard deviation. Compare the results with the mean and standard deviation in step 2. What do you think?" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "27.155" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_mean(data['observation'])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "We can see the mean here is 27.155 in comparison to 36.56. The reason is apparent since the first mean has much wider\n", + "range of numbers from 0-80, on the other hand the second one is from range something like 19 to something like 35.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 5\n", + "Now is the turn of `ages_population3.csv`.\n", + "\n", + "#### 1.- Read the file `ages_population3.csv`. Calculate the frequency distribution and plot it." + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " observation\n", + "0 21.0\n", + "1 21.0\n", + "2 24.0\n", + "3 31.0\n", + "4 54.0\n", + ".. ...\n", + "995 16.0\n", + "996 55.0\n", + "997 30.0\n", + "998 35.0\n", + "999 43.0\n", + "\n", + "[1000 rows x 1 columns]\n" + ] + } + ], + "source": [ + "data = pd.read_csv(\"C:/Users/Vladimir/Desktop/Ironhack_labs/Week03/Week03/Descriptive-Stats/data/ages_population3.csv\")\n", + "\n", + "sorted_data = data.sort_values('observation')\n", + "\n", + "\n", + "plt.plot(sorted_data.index, sorted_data['observation'], marker='o')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Observation')\n", + "plt.show()\n", + "print(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 2.- Calculate the mean and standard deviation. Compare the results with the plot in step 1. What is happening?" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "41.989" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_mean(data['observation'])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "Well we can see that even there are much fewer numbers in the range 0-10 which is taking the mean up. But the main reason\n", + "is significantly increased number of occurences in the range 70-80.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 3.- Calculate the four quartiles. Use the results to explain your reasoning for question in step 2. How much of a difference is there between the median and the mean?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# your code here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "your comments here\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 4.- Calculate other percentiles that might be useful to give more arguments to your reasoning." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# your code here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "your comments here\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bonus challenge\n", + "Compare the information about the three neighbourhoods. Prepare a report about the three of them. Remember to find out which are their similarities and their differences backing your arguments in basic statistics." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# your code here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "your comments here\n", + "\"\"\"" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}