EDA.ipynb

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   "source": [
    "# Exploratory Data Analysis\n",
    "## Machine Learning 1\n",
    "### `! git clone https://github.com/DS3001/EDA`"
   ]
  },
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   "source": [
    "## Exploratory Data Analysis\n",
    "- Once the data are cleaned up, we'll want to do some basic summaries and visualizations to understand their basic properties and whether they are clean enough to proceed, and this is called **Exploratory Data Analysis**\n",
    "- This can be an exhausting process, and there is no uniquely correct way to do it: choices have consequences\n",
    "- Some people divide the wrangling and EDA and analysis much more than I do: I think everything is in service of the analysis that will ultimately be done, and you can't meaningfully do any of this in isolation --- but we'll learn some useful general skills\n",
    "- Since we are doing EDA and not Visualization, the emphasis is on *useful* graphs, not necessarily *pretty* ones\n",
    "- We will stay inside Pandas, and introduce PyPlot and Seaborn in the next lecture\n",
    "- Last time, we cleaned the pretrial data, which works well for visualizations: There are many interesting numeric variables, categorical variables, and dummy variables. We'll use it again today."
   ]
  },
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   "outputs": [
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     "text": [
      "   Unnamed: 0 case_type   age sex race  is_poor  bond  bond_type  prior_F  \\\n",
      "0           0         F  31.0   M    W      NaN   NaN          7      0.0   \n",
      "1           1         F  60.0   M    B      NaN   NaN          7     13.0   \n",
      "2           2         M  27.0   M    W      NaN   NaN          7      0.0   \n",
      "3           3         M  27.0   M    B      0.0   NaN          7      0.0   \n",
      "4           4         F  28.0   F    W      0.0   NaN          7      0.0   \n",
      "\n",
      "   prior_M  gini  released  sentence_type   sentence  bond_NA  held_wo_bail  \\\n",
      "0      0.0  0.44       NaN            NaN        NaN     True         False   \n",
      "1     21.0  0.44       0.0            0.0  60.000000     True         False   \n",
      "2      0.0  0.44       0.0            1.0  12.000000     True         False   \n",
      "3      9.0  0.44       0.0            1.0   0.985626     True         False   \n",
      "4      0.0  0.44       1.0            4.0   0.000000     True         False   \n",
      "\n",
      "   sentence_NA  \n",
      "0         True  \n",
      "1        False  \n",
      "2        False  \n",
      "3        False  \n",
      "4         True   \n",
      "\n",
      "        Unnamed: 0           age       is_poor           bond     bond_type  \\\n",
      "count  22986.00000  22930.000000  21965.000000   16912.000000  22986.000000   \n",
      "mean   11492.50000     34.278020      0.476440    1464.159413      3.113330   \n",
      "std     6635.63098     12.466248      0.499456    2923.362046      1.866408   \n",
      "min        0.00000     18.000000      0.000000       0.000000      1.000000   \n",
      "25%     5746.25000     24.000000      0.000000       0.000000      1.000000   \n",
      "50%    11492.50000     31.000000      0.000000    1000.000000      3.000000   \n",
      "75%    17238.75000     42.000000      1.000000    2500.000000      4.000000   \n",
      "max    22985.00000    100.000000      1.000000  160000.000000      9.000000   \n",
      "\n",
      "            prior_F       prior_M          gini      released  sentence_type  \\\n",
      "count  22501.000000  22501.000000  22972.000000  22955.000000   22712.000000   \n",
      "mean       1.375983      2.692991      0.440635      0.834415       1.815912   \n",
      "std        3.489802      4.438524      0.041939      0.371716       1.799287   \n",
      "min        0.000000      0.000000      0.370000      0.000000       0.000000   \n",
      "25%        0.000000      0.000000      0.420000      1.000000       0.000000   \n",
      "50%        0.000000      1.000000      0.430000      1.000000       1.000000   \n",
      "75%        1.000000      4.000000      0.470000      1.000000       4.000000   \n",
      "max      119.000000     74.000000      0.550000      1.000000       4.000000   \n",
      "\n",
      "           sentence  \n",
      "count  22712.000000  \n",
      "mean      12.207737  \n",
      "std       50.725352  \n",
      "min        0.000000  \n",
      "25%        0.000000  \n",
      "50%        0.000000  \n",
      "75%        5.000000  \n",
      "max     2208.000000   \n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt # Pandas automatically uses some pyplot functions, so we need it loaded\n",
    "\n",
    "df = pd.read_csv('./data/pretrial_data.csv') # Local file\n",
    "#df = pd.read_csv('./EDA/data/pretrial_data.csv') # On Colab\n",
    "print(df.head(),'\\n')\n",
    "print(df.describe(),'\\n')"
   ]
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   "source": [
    "## Histograms\n",
    "- A *histogram* is a fundamental and powerful tool for visualizing numeric data:\n",
    "  - Take the minimum and maximum values the variable takes, and divide the range into $B$ equally spaced *bins*. For example, if the min is 0 and the max is 100 and $B=4$, the bins are $\\{ [0,25), [25,50), [50,75), [75,100] \\}$.\n",
    "  - For each bin, you count the number of observations that fall into that bin\n",
    "  - Plot the result as a bar graph, where the count in the bin equals the height of the bar\n",
    "- At this stage, picking the number of `bins=B` is a matter of \"taste\"\n",
    "- Let's histogram the Gini coefficient to see an example"
   ]
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     "execution_count": 2,
     "metadata": {},
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['gini'].hist(bins=20,grid=False) # Here is a pretty good looking histogram"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb9c266c-6d43-40a4-94da-24bcea5b6633",
   "metadata": {
    "id": "bb9c266c-6d43-40a4-94da-24bcea5b6633"
   },
   "source": [
    "## Histograms [Math]\n",
    "- The formal definition of a histogram is that it is a function, such that the *height* of bar $k$ is:\n",
    "$$\n",
    "h_k =  \\sum_{i=1}^N \\mathbb{I}\\left\\lbrace b_{k-1} < x_i \\le b_k \\right\\rbrace, \\quad k = 1, ..., B\n",
    "$$\n",
    "where $\\mathbb{I}\\{...\\}$ equals 1 when the statement inside is true, and zero otherwise.\n",
    "- When *normalized* by $N$, you can interpret this as the probability that a random draw of $X$ falls into the $k$-th bin, between $b_{k-1}$ and $b_k$\n",
    "- The alternative definition of a histogram is in terms of the *window size*, $w$, given by\n",
    "$$\n",
    "\\hat{f}_w(x) = \\dfrac{1}{N} \\sum_{i=1}^N \\dfrac{\\mathbb{I}\\{x-w < x_i \\le x+w \\}}{2w}\n",
    "$$\n",
    "which explicitly estimates the probability density function $f$ and has superior asymptotic statistical properties as $w \\rightarrow 0$\n",
    "- Picking the number of bins or window size is basically a sub-field of statistics; the best answers are typically based on cross-validation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ac9a6c11-86d9-4d80-bd62-6d892da95769",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "ac9a6c11-86d9-4d80-bd62-6d892da95769",
    "outputId": "7c1fe312-8394-4a59-edc2-b387014c0feb"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['bond'].hist() # This is not a very useful histogram..."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9589d4bb-c27e-4388-b7a9-37ee8245e8b4",
   "metadata": {
    "id": "9589d4bb-c27e-4388-b7a9-37ee8245e8b4"
   },
   "source": [
    "## Variables with \"Long Tails\"\n",
    "- That looks bad, just unuseful and misleading at best\n",
    "- We often get graphs that are not meaningful to us because their values are **badly scaled**\n",
    "- Computers, likewise, dislike variables with bad scaling: stable calculations become challenging when comparing numbers of very different magnitudes\n",
    "- The traditional way to smooth them is to use the **(natural) logarithm** or `log()` function: This converts multiplication/division to addition/subtraction, or levels to growth rates, and shrinks large values significantly\n",
    "- `log()` is only defined as a real number for for strictly positive numbers, so it forces us to drop zeros and negative numbers from visualizations or analysis: This is highly undesirable\n",
    "- The **inverse hyperbolic sine** function, `arcsinh()`, is defined for any number, positive or negative, and has almost the same interpretation, so we often use it instead"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "823242ca-f8f0-41e5-ad0f-ed4850605b95",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 482
    },
    "id": "823242ca-f8f0-41e5-ad0f-ed4850605b95",
    "outputId": "deff6c2b-5a01-484d-8420-ecbf6b3ac14b"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\teren\\AppData\\Roaming\\Python\\Python310\\site-packages\\pandas\\core\\arraylike.py:396: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['bond_log'] = np.log(df['bond'])\n",
    "# df['bond_log'].hist() # This crashes: We need to locate the non-infinte values\n",
    "df.loc[df['bond_log']>0,'bond_log'].hist(bins=20,grid=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "90f1e7e2-6313-4785-9d94-6bfa7e261736",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "90f1e7e2-6313-4785-9d94-6bfa7e261736",
    "outputId": "55df9775-ae05-4bbd-873d-73667fae307f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['bond_arcsinh'] = np.arcsinh(df['bond'])\n",
    "df['bond_arcsinh'].hist(bins=20,grid=False) # Notice all the data at zero that log throws away"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bea1d1e-6c47-4d47-8ce2-29760091dccc",
   "metadata": {
    "id": "1bea1d1e-6c47-4d47-8ce2-29760091dccc"
   },
   "source": [
    "## `log()` versus `arcsinh()` [Math]\n",
    "- The derivative of natural log is $1/x$, while for inverse hyperbolic sine it is $1/\\sqrt{1+x^2}$, which are so close as to render the difference negligible for our purposes\n",
    "- We won't go over it now, but it's typically easy to go back and forth between the transformed analysis and the original values in levels, so using the transformations are not a problem in analysis\n",
    "- Since `arcsinh(0)=0` but `log` tends to negative infinity at zero and their derivatives are similar, the `arcsinh` curve lies above the `log` curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "503af50a-1e0a-4fc2-9cd4-db29a102731f",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 507
    },
    "id": "503af50a-1e0a-4fc2-9cd4-db29a102731f",
    "outputId": "3bdd4a60-2237-4137-ccac-e1db0eeb6f7b"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\teren\\AppData\\Local\\Temp\\ipykernel_368\\2551805020.py:3: RuntimeWarning: invalid value encountered in log\n",
      "  y1 = np.log(x)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Quick matplotlib plot of log and arcsinh:\n",
    "x = np.arange(-15,15,.1)\n",
    "y1 = np.log(x)\n",
    "y2 = np.arcsinh(x)\n",
    "plt.plot(x,y1, label ='Natural Log')\n",
    "plt.plot(x,y2, label='Inverse Hyperbolic Sine')\n",
    "plt.xlabel(\"X\")\n",
    "plt.ylabel(\"Y\")\n",
    "plt.grid()\n",
    "plt.legend(loc='upper left')\n",
    "plt.title('Natural Log and Arcsinh')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c42b9bdb-51cd-4a5e-83b0-c1e2b5fefdad",
   "metadata": {
    "id": "c42b9bdb-51cd-4a5e-83b0-c1e2b5fefdad",
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## Exercises (Histograms)\n",
    "- Plot a histogram of the `sentence` variable. Is it badly scaled?\n",
    "- Use the `log()` and `arcsinh()` transformations on `sentence` and create histograms. Compare the outcomes.\n",
    "- What would happen if you threw away the zeros when analyzing sentencing? How might it bias or otherwise interfere with your analysis?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "583a53d5-2131-43b9-8071-1ca06a7e39c4",
   "metadata": {
    "id": "583a53d5-2131-43b9-8071-1ca06a7e39c4",
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## Statistics\n",
    "- Our subsequent plots will involve a bit more statistical computation, so we'll pause and talk about some statistics concepts\n",
    "- A **(sample) statistic** is a function of the data: We take a list of values, and aggregate it into a summary number(s) that helps us better understand the phenomenon we're interested in\n",
    "- An example is the **mean** or **average**: We sum all of the values, and divide by the total number of values. If we have $N$ observations and the values are $(x_1, x_2, ..., x_N)$, the average is\n",
    "$$\n",
    "\\bar{x} = \\dfrac{x_1+x_2+...+x_N}{N} = \\dfrac{ \\sum_{i=1}^N x_i }{N}\n",
    "$$\n",
    "The intuition is, \"Imagine you drew a number out of the hat. They're all drawn with equal probability. What kind of number do you expect to get?\"\n",
    "- The field of statistics, roughly, studies the behavior of sample statistics as the sample size $N$ gets large: What is the behavior of a sample statistic as we get lots of data? Does it approach the \"true\" value, if one exists?\n",
    "- In EDA, we're typically using statistics as a way to summarize the data and understand its features, and not necessarily imputing a \"deeper meaning\" to them"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3ebf164-f049-4251-b9f9-b51d0b0c9e34",
   "metadata": {
    "id": "c3ebf164-f049-4251-b9f9-b51d0b0c9e34",
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## Always, always, always, look at your data\n",
    "![Lawyer Salaries](https://github.com/DS3001/EDA/blob/main/lawyerSalaries2018.jpg?raw=1)\n",
    "- How *useful* is it to say, \"The average yearly salary of a lawyer is about $100k?\"\n",
    "- Statistics can be incredibly misleading"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df2ee83d-2c2e-4a41-b572-f2bcfc260579",
   "metadata": {
    "id": "df2ee83d-2c2e-4a41-b572-f2bcfc260579"
   },
   "source": [
    "## Statistics: Measures of Central Tendency\n",
    "- These statistics correspond to values around which the data are concentrated:\n",
    "    - Mode: The most frequently occuring value in the data\n",
    "    - Median: The value(s) at which half the population is above and half the population is below\n",
    "    - Mean: The numeric average value of the data,\n",
    "$$\n",
    "\\bar{x} = \\dfrac{x_1+x_2+...+x_N}{N} = \\dfrac{ \\sum_{i=1}^N x_i }{N}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3020f484-1367-4f35-92f5-1dfb0c3be8fa",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 499
    },
    "id": "3020f484-1367-4f35-92f5-1dfb0c3be8fa",
    "outputId": "52d4df94-c9b5-4976-f23e-220544db78c7"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean:  0.4406351210168901\n",
      "Median:  0.43\n",
      "Mode:  0    0.42\n",
      "Name: gini, dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var = 'gini'\n",
    "\n",
    "df[var].hist(bins=15,grid=False)\n",
    "print('Mean: ', df[var].mean() )\n",
    "print('Median: ', df[var].median() )\n",
    "print('Mode: ', df[var].mode() )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "83c7c29b-ca36-4435-ba2d-354f6babbb92",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 499
    },
    "id": "83c7c29b-ca36-4435-ba2d-354f6babbb92",
    "outputId": "56f3c4af-e428-4b9b-f722-71992e5e901c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean:  4.686972979300787\n",
      "Median:  7.600902709541988\n",
      "Mode:  0    0.0\n",
      "Name: bond_arcsinh, dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['bond_arcsinh'] = np.arcsinh(df['bond'])\n",
    "\n",
    "var = 'bond_arcsinh'\n",
    "df[var].hist(bins=30,grid=False)\n",
    "print('Mean: ', df[var].mean() ) # Does anyone actually get 4.68697?\n",
    "print('Median: ', df[var].median() )\n",
    "print('Mode: ', df[var].mode() )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e17d3c19-99bd-40d4-8da7-66f4c25a5e74",
   "metadata": {
    "id": "e17d3c19-99bd-40d4-8da7-66f4c25a5e74"
   },
   "source": [
    "## Statistics: Measures of Rank\n",
    "- Imagine lining the data up by magnitude, from smallest to largest\n",
    "- The **p-th percentile** is the value for which $p\\%$ of the population is below $p$'s value and $(1-p)\\%$ of the population is above $p$'s value\n",
    "- If you use decimals instead of percents, like $.05$ for $5\\%$ or $.50$ for $50\\%$, the word **quantile** is typically used\n",
    "- This ranks observations from smallest to largest by the proportion of the sample it \"defeats\"\n",
    "- Why? Quantiles and the median are robust to outliers: Moving extremely large or small values won't affect the median or significantly change the rankings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b882e6ab-0566-4443-a6a1-5ff63c4719fb",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 657
    },
    "id": "b882e6ab-0566-4443-a6a1-5ff63c4719fb",
    "outputId": "6e482fa0-fe64-47bb-ebd1-6bc8129479b1"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum:  0.37\n",
      "0th quantile:  0.37\n",
      ".05 quantile:  0.38\n",
      ".10 quantile:  0.38\n",
      ".25 quantile:  0.42\n",
      ".50 quantile:  0.43\n",
      ".75 quantile:  0.47\n",
      ".90 quantile:  0.5\n",
      ".95 quantile:  0.54\n",
      "1.00 quantile:  0.55\n",
      "Sample Maximum: 0.55\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='gini'>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sample quantiles for the gini variable:\n",
    "var = 'gini'\n",
    "print('Minimum: ', df[var].min())\n",
    "print('0th quantile: ', df[var].quantile(0))\n",
    "print('.05 quantile: ', df[var].quantile(.05))\n",
    "print('.10 quantile: ', df[var].quantile(.10))\n",
    "print('.25 quantile: ', df[var].quantile(.25))\n",
    "print('.50 quantile: ',df[var].quantile(.50))\n",
    "print('.75 quantile: ',df[var].quantile(.75))\n",
    "print('.90 quantile: ',df[var].quantile(.90))\n",
    "print('.95 quantile: ',df[var].quantile(.95))\n",
    "print('1.00 quantile: ',df[var].quantile(1))\n",
    "print('Sample Maximum:', df[var].max())\n",
    "\n",
    "# A quick Empirical Distribution Function plot:\n",
    "df['gini_quantile'] = df['gini'].rank(method = 'average', pct = True) # Ranks the values\n",
    "df.sort_values('gini').plot(x = 'gini', y = 'gini_quantile', grid = True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c0ff9850-160a-45c2-b463-ac06c63378b3",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 657
    },
    "id": "c0ff9850-160a-45c2-b463-ac06c63378b3",
    "outputId": "0a756147-f793-47cc-e97a-0d2087bcf42a"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum:  0.0\n",
      "0th quantile:  0.0\n",
      ".05 quantile:  0.0\n",
      ".10 quantile:  0.0\n",
      ".25 quantile:  0.0\n",
      ".50 quantile:  1000.0\n",
      ".75 quantile:  2500.0\n",
      ".90 quantile:  3500.0\n",
      ".95 quantile:  5000.0\n",
      "1.00 quantile:  160000.0\n",
      "Sample Maximum: 160000.0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='bond'>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sample quantiles for the bond variable:\n",
    "var = 'bond'\n",
    "print('Minimum: ', df[var].min())\n",
    "print('0th quantile: ', df[var].quantile(0))\n",
    "print('.05 quantile: ', df[var].quantile(.05))\n",
    "print('.10 quantile: ', df[var].quantile(.10))\n",
    "print('.25 quantile: ', df[var].quantile(.25))\n",
    "print('.50 quantile: ',df[var].quantile(.50))\n",
    "print('.75 quantile: ',df[var].quantile(.75))\n",
    "print('.90 quantile: ',df[var].quantile(.90))\n",
    "print('.95 quantile: ',df[var].quantile(.95))\n",
    "print('1.00 quantile: ',df[var].quantile(1))\n",
    "print('Sample Maximum:', df[var].max())\n",
    "\n",
    "# A quick Empirical Distribution Function plot:\n",
    "df['bond_quantile'] = df['bond'].rank(method = 'average', pct = True) # Ranks the values\n",
    "df.sort_values('bond').plot(x = 'bond', y = 'bond_quantile', grid = True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d318c63-56a8-4b22-b4af-48b97008f2e2",
   "metadata": {
    "id": "5d318c63-56a8-4b22-b4af-48b97008f2e2",
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## Statistics: Measures of Dispersion\n",
    "- Measures of dispersion describe how \"spread out\" the data are:\n",
    "    - Range: The minimum and maximum values of the data\n",
    "    - Interquartile Range: The distance between the 25%-quantile and 75%-quantile, which includes the middle half of the data\n",
    "    - Variance: The average squared distance from the mean,\n",
    "$$\n",
    "s^2 = \\dfrac{(x_1-\\bar{x})^2 + (x_2 + \\bar{x})^2 + ... + (x_N - \\bar{x})^2}{N-1} = \\dfrac{\\sum_{i=1}^N (x_i-\\bar{x})^2 }{N-1}\n",
    "$$\n",
    "So take the value of each observation $i$, subtract off the mean $\\bar{x}$, square that, and then divide by $N-1$. If the data are all clustered around $\\bar{x}$, this will be small, but if the data are very spread out, this will be larger.\n",
    "    - Standard Deviation: The square root of the variance,\n",
    "$$\n",
    "s = \\sqrt{s^2} = \\sqrt{ \\dfrac{\\sum_{i=1}^N (x_i-\\bar{x})^2 }{N-1} }\n",
    "$$\n",
    "- ...why? The standard deviation is in the same units as the original variable, but the variance is approximately an average. They end up having have different statistical properties in small samples. Some models are more naturally parameterized in terms of the variance rather than the standard deviation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e1ba175-92a1-4221-9d72-237c744f7124",
   "metadata": {
    "id": "4e1ba175-92a1-4221-9d72-237c744f7124"
   },
   "source": [
    "## Boxplots\n",
    "- The rank and dispersion information is useful to illustrate in a plot, since it can feel somewhat abstract compared to a histogram\n",
    "- A **boxplot** is roughly a visualization of the 5-number summary:\n",
    "    - The green bar is the median/50%-quantile\n",
    "    - The \"box\" represents the interquartile range (IQR): The range of values containing everything from the 25%-quantile to the 75%-quantile\n",
    "    - The \"whiskers\" include a range of values from the first quartile minus $\\frac{3}{2}IQR$ to the third quartile plus $\\frac{3}{2}IQR$\n",
    "    - Values outside the whiskers are typically considered **outliers**\n",
    "- This plot is intended to illustrate the rank information in a useful way"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f850c91a-7b51-46d6-8103-ab9000474a24",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "f850c91a-7b51-46d6-8103-ab9000474a24",
    "outputId": "7807fa1b-1b49-4ec3-f6a8-bad1b5e06919"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#df.boxplot(column = 'gini')\n",
    "df['gini'].plot.box()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "741acb25-4ac5-4359-b5e4-76264cff256d",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "741acb25-4ac5-4359-b5e4-76264cff256d",
    "outputId": "6f64848e-ccaf-4166-fa18-aca50782efb2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column = 'bond')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cd048426-08ab-4775-a915-93e49e8cc280",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "cd048426-08ab-4775-a915-93e49e8cc280",
    "outputId": "6c4666aa-95e2-4481-9fe5-25e6ad552f36"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column = 'bond_arcsinh')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a2d7f32-1251-4b30-86b8-785ac4eb4114",
   "metadata": {
    "id": "1a2d7f32-1251-4b30-86b8-785ac4eb4114"
   },
   "source": [
    "## Variable Descriptions\n",
    "- This is a bunch of ways of slicing the data, and there are many, many more\n",
    "- Many stats packages report a five-number+ summary: The minimum, the 25%/median/75% percentiles, the maximum, the mean and standard deviation, and how many non-missing observations are recorded (count)\n",
    "- In Pandas, you can do this with `df[var].describe()`\n",
    "- From `.describe()`, you can quickly compute almost all the statistics we've mentioned\n",
    "- The `count` value is the number of non-missing entries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c7eb54b9-7415-4790-a13b-d369e8145fec",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "c7eb54b9-7415-4790-a13b-d369e8145fec",
    "outputId": "ed9a3326-1da0-412d-e132-e8dab8bc3fa9"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count    22930.000000\n",
      "mean        34.278020\n",
      "std         12.466248\n",
      "min         18.000000\n",
      "25%         24.000000\n",
      "50%         31.000000\n",
      "75%         42.000000\n",
      "max        100.000000\n",
      "Name: age, dtype: float64 \n",
      "\n",
      "Variance:  155.4073279301658 \n",
      "\n",
      "IQR:  18.0\n"
     ]
    }
   ],
   "source": [
    "descr = df['age'].describe() # Save the description as an object\n",
    "print(descr,'\\n')\n",
    "\n",
    "# Computing the Variance:\n",
    "std = descr[2] # Accessing the standard deviation from the description object\n",
    "var = std**2\n",
    "print('Variance: ', var,'\\n')\n",
    "\n",
    "# Computing the IQR:\n",
    "thirdQ = descr[6] # Getting the 75% percentile\n",
    "firstQ = descr[4] # Getting the 25% percentile\n",
    "IQR = thirdQ - firstQ # Computing the IQR\n",
    "print('IQR: ', IQR)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36735fd3-d741-4d3c-988c-289a6a5ff7d7",
   "metadata": {
    "id": "36735fd3-d741-4d3c-988c-289a6a5ff7d7"
   },
   "source": [
    "## What do you do with outliers?\n",
    "- Maybe nothing: They're part of the data. Maybe you trim the outliers and drop them, or **windsorize** and replace them with a high or low value.\n",
    "- The outliers will typically exert *leverage* on the analysis: extreme values will influence the outcomes of your estimates or algorithm (e.g. they disproportionately affect the variance)\n",
    "- But if the outliers are \"really part of the data,\" that leverage can be totally legitimate\n",
    "- What you want to be certain of is that the outliers are actually representative of the population of interest --- some observations might have characteristics that make them uncharacteristic of the data you expect to see in the future, and your models will be less useful if they are trained on those data\n",
    "- The field of *robust statistics* is generally concerned with estimating models when the presence of outliers is likely to interfere with the results"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad1c0677-b4ea-49ae-8be5-0245be290d96",
   "metadata": {
    "id": "ad1c0677-b4ea-49ae-8be5-0245be290d96"
   },
   "source": [
    "## Exercises (Statistics and Boxplots)\n",
    "- Generate a description of the `sentence` variable. What is the sample mean and sample standard deviation?\n",
    "- What are the mean, median, and mode of the `sentence` variable? What is the variance? The IQR?\n",
    "- Make a boxplot. Are there a lot of outliers? Explain.\n",
    "- Create an `outlier` dummy for the bond variable that indicates an observation is more than $1.5 \\times IQR$ away from the $IQR$. (There are many ways to do this, some easier than others.). What proportion of the observations are outliers?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6ae3ae8-8294-4cc1-99f9-d7e0c84e2624",
   "metadata": {
    "id": "f6ae3ae8-8294-4cc1-99f9-d7e0c84e2624"
   },
   "source": [
    "## Scatter Plots\n",
    "- Just like cross-tabs allow you to think about two variables at once, scatter plots provide a way of looking at the association between two variables in the data set\n",
    "- What's a scatterplot? Pick two variables, $x$ and $y$. For each pair of values $(x_i, y_i)$ for observation $i$, you make a dot. Plot all the dots for all observations, $i=1,...,N$.\n",
    "- The goal is typically to uncover patterns of association between the two variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "71ba646a-924e-4e81-b6e5-f0cd4862587d",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "71ba646a-924e-4e81-b6e5-f0cd4862587d",
    "outputId": "a3a70a0b-a7bf-4910-8066-fa37a4e21098"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='prior_F', ylabel='prior_M'>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eQcC2Qw042tim0ciUCZf3QUT6wWKGyCCOnWz3+nhVkzGKgFC8j8qGVmytqGdhRBQhmJkhMojB/RO9Pj7EYowAbTDfB7M4RJGJZ2aIDCI/PQkzCtIRbTK5LY82mTCjIN0wdwMF830wi0MUmVjMEBnIi/PGo2hYmtuyomFpeHHeeI1G5J9gvA9mcYgiFy8zERmIOTEWby6ajKONbahqajNsf5ZgvA85WRwj7isi8o3FDOkWG6pJy0sLj32i5vsIl0wRESnHYoZ0hyFO8ocji1N6uNHtUlO0yYSiYWlhUfwRkThmZkh3GOIkf4VLpoiIlOGZGdIVR4izN9cQJ//CJinhkikiImVYzJCuMMQZWUoq6rHvRAsm5KbiooJ01bYbLpkiIpKHxQzpCkOckeFYUxtmrypFc3uXc1lqYiw2F09HjsX79wARUW/MzJCuhEtjOPKudyEDAM3tXbh21XaNRkRERsZihnSHIc7wVlJR71HIODS3d+FzkcwUEZE3vMxEusMQZ3jbd6LF6+N7q5tVzc8QUfhjMUO6xRBneBo3KMXr4xNyU0MzECIKG7zMREQhdfHwDKRKND9MTYzlWRkiUozFDBGF3Obi6R4FjeNuJiIipXiZiYhCLseSiPIVV+DzQw3YW92sep8ZIoosLGaIwEktHZTsBzX22UUF6YYvYvi9Q6Q9FjMU0Tip5VlK9gP32VncD0T6wcwMRTROanmWkv3AfXYW9wORfrCYoYjlmNSyRxDclrtOahkJlOwH7rOzuB+I9IXFDEUsOZNaRgIl+4H77CzuByJ9YWaGIlY4TmrpTxhVyX4Ix33mD+4HIn1RVMy8+eabstZbsGCBX4MhCiXHpJalhxvdLhdEm0woGpZmqDtTAgmjKtkP4bTPAsH9QKQvJkHoddHXi6ioKCQlJSEmJgZSTzOZTDh58qRqAwyUzWaD2WyG1WpFcnKy1sMhnbG2d2HxhnLD35GyYO0uyQ/WNxdN9vl8JfshXPZZoLgfiIJLyee3omJm1KhRqKurwy9/+UvccsstGDt2bMCDDTYWMySHkSe1rGxoxWVPl0g+vvXuS2S/JyX7wcj7TE3cD0TBoeTzW9Flpm+//RY7d+7E66+/jhkzZmDYsGFYtGgR5s+fz0KBDEMsV2LkSS3lhFHlvjcl+0HP+yyUjez0vB+IIoXiu5mmTJmCV155BT/++CPuuOMOvPvuuxgwYADmz5+Pzs7OgAbz+OOPw2QyYcmSJc5lHR0dKC4uhsViQVJSEubOnYu6urqAXociU0v7GSxYuwuXPV2Cm9ftxqX//S8sWLsL1vYurYcWEIZRzwnXY0xE3vl9a3ZCQgIWLFiAhx56CJMnT8bbb7+N9nbvfyF6s3v3brzyyisel66WLl2KDz74ABs3bkRJSQlqamowZ84cv1+HIle4NjlzhFGjTSa35dEmE2YUpEfUWYNwPcZE5J1fxcwPP/yAxx57DAUFBbjxxhtx4YUX4ttvv0Vqaqpfg2htbcX8+fPx2muvuW3DarVi7dq1eOaZZ3DZZZdh4sSJWLduHXbs2IEvvvhCdFudnZ2w2WxuX0Th3uTsxXnjUTQszW1Z0bA0vDhvvEYjCr1wP8ZEJE1RZubdd9/FunXrUFJSglmzZuHpp5/G1Vdfjejo6IAGUVxcjKuvvhozZ87EI4884ly+Z88edHV1YebMmc5lI0aMQG5uLsrKyjB16lSPba1cuRIPPfRQQOOh8KNmrkSPzImxeHPR5IgOo4b7MSYiaYqKmRtvvBG5ublYunQpMjMzUVVVhVWrVnmsd8cdd8je5ttvv429e/di9+7dHo/V1taiT58+SElJcVuemZmJ2tpa0e0tX74cy5Ytc/7fZrMhJydH9nhIP9QMcUZKrsRoYVQeYyJSg6JiJjc3FyaTCevXr5dcx2QyyS5mjh8/jjvvvBOffPIJ4uPjlQxFUlxcHOLi4lTZFmkjGLMR56cnYdpQC3YcafJ4bNpQi6EKgHAQrGPMRnZEkUlRZqaqqgpHjx71+lVZWSl7e3v27EF9fT0mTJiAmJgYxMTEoKSkBC+88AJiYmKQmZmJM2fOoKWlxe15dXV1yMrKUjJ0MpBghTilOirJ77REagnWMWZ2iCgyBXVupjFjxuAf//iH5GWeyy+/HN98843bsptvvhkjRozAvffei5ycHMTGxmLLli2YO3cuAKCiogLV1dUoLCwM5tBJI44QZ2+uIU5//sKubGhFWaXnWRkAKKts8nu7pFywjjHA7BBRpApqMVNVVYWuLun+Dv369cPo0aPdlvXt2xcWi8W5fNGiRVi2bBn69++P5ORkLF68GIWFhaLhXzI+XyHOLyqb/PqQYjhUP4J1jF0ZLTtERIHR/azZzz77LKKiojB37lx0dnZi1qxZWL16tdbDoiDxFeJc/t65M3lKMhYMh+pHsI4xEUUuv5vmBcu//vUvPPfcc87/x8fHY9WqVTh58iTa2trw3nvvMS8TxqQawIlRkrFgYzn9yE9PQqrM4oQN74hIDt0VM0RiIU4xSpuhMRyqD5UNrWiWOb0AG94RkRy6v8xEkad3iLPO2oH73vtGcn25eReGQ/XBV2ZGDDNNROQNixnSLUeIs7Kh1et6SvMuDIdKk2piF8rmdmKYaSIibxQXM11dXbjyyivx8ssvo6CgwOu6r7zyCjIzM/0eHBFwNmNRmG8RvbW6MJ8N79Qg1cTukdmj8MCmb0PS3E4MG94RkRyKMzOxsbH4+uuvZa37i1/8An378pcQBU4qDywjJ0wySDWxu25Vacia2xXmWzBtqMVtGTNNRCSHX5eZfvnLX2Lt2rV4/PHH1R4PkYfKhlbRaQgAYMcRNrwLlLcmdmJB3WA3t2OmiYiU8quY6e7uxuuvv45PP/0UEydO9Dj78swzz6gyOCKADe+CzZ9ALqDOfhfLLzHTRERK+VXM7N+/HxMmTAAAHDx40O0xE8/7k8rY8C64/AnkAtzvRKQffhUzW7duVXscRJI4G3JwOZrYiV1SiokyQRDA/U5EuhZw07wTJ07gxIkTaoyFSBIb3gWPtyZ23XYBEwanuC3jficivfHrzIzdbscjjzyCp59+Gq2tZ3uA9OvXD3fddRfuv/9+REWxsTCpiw3vgsdXZua2S4dhiKUv9zsR6ZZfxcz999/vvJupqKgIALB9+3b88Y9/REdHBx599FFVB0nkwHCo+uRkksJhv6vZ+I+I9MWvYuaNN97An/70J1x77bXOZWPHjsXAgQNx2223sZghMpBwb0oo1RCQs3EThQ+/rgedPHkSI0aM8Fg+YsQInDx5MuBBEVFohXNTQqmGgJyNmyh8+FXMXHDBBXjppZc8lr/00ku44IILAh4UEYWOnKaERuVoCNh72gTOxk0UXvy6zPTkk0/i6quvxqefforCwkIAQFlZGY4fP45//OMfqg6QiIIrnJsShvN7I6Jz/Dozc/HFF+PgwYP46U9/ipaWFrS0tGDOnDmoqKjARRddpPYYiQyrsqEVWyvqVT8DoOZ21W5KGKz37A82XCSKDH6dmQGA7OxsBn2JJAQrdBqM7arVlFCPQVs2XCSKDCZB6HUxWcLXX3+N0aNHIyoqyues2WPHjlVlcGqw2Wwwm82wWq1ITk7WejgUIRas3SX5Afrmosm62661vQuLN5QHVIgEa2yBUuO9EVHoKfn8ln1mZty4caitrUVGRgbGjRsHk8kEsTrIZDKhp6dH+aiJwoS3WagDmW06WNsFAm9KGMyxBYoNF4nCn+xi5ujRo0hPT3f+myjYjNrkLFih01CEWf1tjmeEoG04NP4jInGyi5nBgwcDALq6uvDQQw/hwQcfRF5eXtAGRpFLj9kLJYIVOtVzmFXPYyOi8Kf4bqbY2Fj89a9/DcZYiAAYv8mZI3Qa3avjXLTJhBkF6X6fHXDMbi0mNTFW07MOwXrPRERy+HVr9uzZs7Fp0yaVh0IUPk3OgjHLt7fZrZvbuzTfN5zZnIi04tet2QUFBXj44YdRWlqKiRMnom9f97+67rjjDlUGR5HHCNkLOYIROtX7vmHQloi04lcxs3btWqSkpGDPnj3Ys2eP22Mmk4nFDPkt3LIXaoZOjbJvQhm0NWpInIjU5Vcx43o3k+P2bFM4zEhHmmOTM2ncN+cYPSROROryKzMDnD07M3r0aMTHxyM+Ph6jR4/Gn/70JzXHRhGK2Qtp3DdnGT0kTkTq8uvMzIoVK/DMM89g8eLFbhNNLl26FNXV1Xj44YdVHSRFFmYvpHHf6LtBHxFpw69iZs2aNXjttdcwb94857Jrr70WY8eOxeLFi1nMkCpZBrHshRrbFduG0bIXwcqlhHo/+PN6/gahjXaMiUg+v4qZrq4uTJo0yWP5xIkT0d3dHfCgyLj0PMGi2DYK8y0wmYAdR5pUHa/RhDqDEsjrKQ1CM19DFP78yszcdNNNWLNmjcfyV199FfPnzw94UGRcwcoyqLFdsW2UVTa5FTL+bDcchDqDEsjrKW3Qx3wNUfgLOAD861//Gr/+9a8xZswYvPbaa4iKisKyZcucXxQ5gtXwTo3tSm1DjNEa9AUq1I0K1Xg9uUHocGnCSETe+XWZaf/+/ZgwYQIA4MiRIwCAtLQ0pKWlYf/+/c71eLt2ZNHzBIu+tuHvdsNBqJvxqfF6coPQem80SETq8KuY2bp1qyovvmbNGqxZswZVVVUAgFGjRmHFihW46qqrAAAdHR2466678Pbbb6OzsxOzZs3C6tWrkZmZqcrrk7r8beomFcx0LI/2URPLaRbna2xKtutrvGoHi4MdWA51Mz41X89XENoojQaJKDB+FTNqGTRoEB5//HEUFBRAEAS88cYbuO6661BeXo5Ro0Zh6dKl+Pvf/46NGzfCbDbj9ttvx5w5c1BaWqrlsEmC0qZuUsHMR2aPxgOb9rstNyfEwnrac16iwnyLrA9zqbFJmTbUc7tKxqtGsDhUgeVQN+ML5eux0SBRZDAJgozf7CHUv39/PPXUU7j++uuRnp6O9evX4/rrrwcAfP/99xg5ciTKysowdepUWduz2Wwwm82wWq1ITk4O5tAJgLW9C4s3lMu6c2TB2l2iHzLJCTGwne6WXXSs/4287wWxsZkTYmA97XkHXmG+BRtudd9uoON1fIC+uWiyrPGKvZ4a2xWj5LipIZSvF+r3RkTqUPL5rZtipqenBxs3bsTChQtRXl6O2tpaXH755WhubkZKSopzvcGDB2PJkiVYunSp6HY6OzvR2dnp/L/NZkNOTg6LmRDzlWWobGjFZU+XqPJaW+++RNFf2I6xRZtMWPD6LlnbDfV4/Xk9pftBTKib8YXy9SK50SCRESkpZjS9zAQA33zzDQoLC9HR0YGkpCS8//77OP/887Fv3z706dPHrZABgMzMTNTW1kpub+XKlXjooYeCPGryxVeWwZ9ArpSqpjYIgiA7Q+IY29aKep/bdWxL7fEGK7Asth+UZHykjpuSjI6SdUM5KWUoX4uIQkvzYmb48OHYt28frFYr/vd//xcLFy5ESYn/fwEvX77c7ZZwx5kZ0hd/ArlSVm89jN1Vzc7/B6P5mprjDVZgefVnh7H72Ln9IJWveWT2KDyw6VtZl12UNJxjczoi0orffWbU0qdPHwwbNgwTJ07EypUrccEFF+D5559HVlYWzpw5g5aWFrf16+rqkJWVJbm9uLg4JCcnu32R/nhrfJaaGOuxXIxj3b3HWtyWB6P5mrd1Y6LktSCQauomNbZUmQWAcz9Ut7gtl2oIeN2qUtlN5JQ0nGNzOiLSiubFTG92ux2dnZ2YOHEiYmNjsWXLFudjFRUVqK6udk5uScYm1fhsc/F0j+XThlpQmG9xWzY+NwXN7V0hab4mte743BR02+XFzpTMbl3Z0Irmds+7t8RMGCy+H8T0CILsfaak4Ryb0xGRljS9zLR8+XJcddVVyM3NxalTp7B+/Xr861//wscffwyz2YxFixZh2bJl6N+/P5KTk52zdMu9k4n0zVvjM6nlrsuqmtpw87rdkttXs/ma1Lq+xrByzhhkmeMVh059ZWZct+trDEooyQn5uy4Rkdo0LWbq6+uxYMEC/PjjjzCbzRg7diw+/vhj/Md//AcA4Nlnn0VUVBTmzp3r1jSPwotUMFNsuesyXzfiqdl8zd8xTJXZB6c3X5kZ1+2qeUNiva0Dz285iAm5qapmipQ2IAx0XSU4mzaR8WlazKxdu9br4/Hx8Vi1ahVWrVoVohGRkeihIVp+ehIK8y0oq2zyeExuQz+p7cp9b0obAibHx8DW4dlbJybKhHv/+o3z/6mJsbhwcCr2Vrf4PQalDRNDGSxmYJkofOguM0OkhJLMS7BIZZUDnZos0DyPOUHZB3Lv7E9zexcO1bcGNAapdfUQLGZgmSh86KZpXrCwA3Bk0Kohmq/mdqFuZCe3IaAS/7NoMgalJioeg78NE5U0K/R3/4biuBFRYJR8fvPMTISrbGjF1op6w99tkpfWF5cOz1D9A8jX/pETfA2Ukr83HOvWtJwO+HUd9lY3i+5fqX3ja7xK9lmw9m8ojls4CJffDxT+NG+aR9pgXsA7ufsnmLMyB5orUcuE3FRZ4xKbcDPQfRas/cvZtL3j7wcyGp6ZiVDMC3gnd/94a26Xmhgb0JmiQHMlYpQ0JQTOvoeLCtJljeu6Vdtl7zM1mhXKbUAoJpjHLRzw9wMZDYuZCMQGZ94pbRYn1dyuub3L732pRsM6MVJNCS8cnIqUXoHh1MRYbC6eLntcShoYBhpuDjTkHazjFg74+4GMiJeZIhAbnHmnh2Zxao5BrHGfVKPAzw81YG91MybkpnqckZHzWnLGCwTerDDQ70/+DEjjviEjYjETQRzNwXxdYlCjwZk/45Kz3ZKKeuw70eLxYRvo2Fyfb7RMh691B6bEo0fkpI1Yo8CLCtJFixi5ryVFaj/426zQQeq4S32fOPh6H9EmYGtFfUQ20mOeiIyIxUwEEAvzpSbGwna6y+1DTo0GZ4GOS2q7x5raMHtVqdulgdTEWLy1aAqe+KjC77FJjWHaUAt2Vp5UvVmcXPnpSZg21OIxUSRwdp6q3mOQWtecEIsFr5+b6iDQ4+atSaA5IQatHT0haWAoddzuufI83LR2l8f3yebi6cixnPuQlj5uQLLK+8xo9NCMkkgpZmYigFiYz9reheReGQk1GpwFOi6p7fYuZICz2QYlM0ArGYMgQNNMBwBIRWDElkutaz3tvs/UOG5SJ/aGZyaHrIGh1HGbvWqH6PfJtau2e2xD7LglJ8TC2q7+PjMaPTSjJFKCZ2bCnCPM15sdZ3/J/8+iyei2C14bnIk93zUM6O9lHbnbLamolwxris1YLXds3sZQVtmErXdfAgCaZDoqG1pFz34AQFllk9t787Zub2ocN7EzQACwq+qk7H0WCG/HDRJFXXN7Fz4/1OB2yan3cYs2we2MjOt2A9lnRhSM72miYGIxE+Z8hfm67QIuHZ7h9/OVhgEdWQZfuR3X7e470SJ7+3LG5shZ1Fo7fD5fLD8gldOobmrD1ydaEBNlCnjSRDUDwFLPFwTBYwwvbTmE0iONuKggHbddOsxjvHL2mVjzQqn360/Wyd8Q8t7qZtH8jCOLs7Wi3uvzpfZZOFOSaSLSEouZMBdomE+tMKBY5kXudscNSpH1HG/bAJQ3llu99TB2VzU7/1+Yb4HJBLczEzMK0nHPrPNw0+u+cxpSYwh2Yzk5721sdj98XXPK+f+yypN48uMKrF0wEW+UVcveZ3L2uZIGe2L8DSH3bv6ndLurPzuM3cfO7bNIy9IQ6RkzM2Eu0KZjajUtk1vIiG33Yi9njqSINT5T2lhu77EWt+VllU0el1hKDzdi9mr5OQ0lzfiUNJaLiZI/q2VMlMnjvbkWMq4WvblH1j4D5O9zJQ32xHjbN1L7Qaz5n5LtpibGYm91i1/jJaLgYzETAQIN8wX6fG+Zl97EtvvOrmpZz3XVu/GZksZy43NTRBvAiekRBNHcjmMMn7uceVDajEzufi+pqJccg5huuyDrvbmOTw65+1xpgz0xUvtmc3GRR2dfseZ/SrY7YbD49wObyBHpBy8zRYBAw3yBPt9X5uVX0wbj4uEZktstOyov3NqbklzJ43PGIPPfjeWqmtpw8zrPIKg/XHMaSvNHcve7v5miYAg0y9N7G1K87ZvyFVf4bP6nZLu+vh/YRI5IeyxmIoiSMJ9Y0zElsze78pV5uXxkptcPnMI8CzaV1yh+3WiTydn4zFceYkr+ud4t/r5PMa45DX/zR2LBYtfgrL+ZomAYYunr0pzR/22IEQsLS31PizX/UxI2dt2ur+8HNpEj0h6LGXIjFtQ1J8RieGYSdlX5F368eHgGzAkxsJ7u9njMnBDj8y/nn0/Oxf2b9iu6lJIcH4MFr+9yG29hvgW7jvrfCE9KTJRJdGy9cxpKGuEB4sciJSEWBRlJHkHUlIRYtJyWdymvX1w0TnX2yFpXrmiTCZPz+uMPf/vWozmjtb0L9l7rJifEwHa6W1ZTtkCbNgb6fDaRI9I/ZmbIjVhQ13q6y62QAZSHH4dnJita3tvm4iKPcGdMlAlJcdGi69s63Aun0sONMJkCa4RnThCv/cdkJ8vOaShphCd2LFpOd7kVMsDZ91aQIT0LdG/tXfILmfMH9BNd3ntfFA1Lg8kEj1Cv7XSXR8EgNdllsJo2qtH0kU3kiPSNZ2bISUlQV0kjscqGVuyqOin62K6qk7K2cf5AMw4/9p/Y+OVxlB5pRNHQNGT0i8NCmdmWHkHAjiP+N8KTaqgGAOUnrNh69yU40dzuNaehpBGe0mOx+1iz2xhiTCY89X8Hxde3iy4GAPx6eh6+rbHiooJ0XDk6C5c9XSK6nvV0t1vDRUEQRNftEaSbM8rJAwXatFGtpo9sIkekbyxmIohYDsY1R+BPkFRO+FHNxnsTB6cirV8chlj6YvNXP8gep+triTV1k6KkodqlwzO8XjJTsh/8PRaOMTy/RbyQ8aWoIA0P/OR8APD5nsurWyBAkLzM5upEczuyzAkey33lUQL93lG76SObyBHpE4uZCCCeg4nB8MxktzMmowfKu+TjSk74UY3Ge2K5hzFBGq8YNd6Dkm34E+pVu9Ggr/E+88m5gik53vuvkuXv7Xf+W0nTPL00fSQifWNmJgKI52C6PS79fCfROE2MkqZ5+enSeQ6xRmtixHIPB4I0XjFqNA9Uso2Lh2coaoTXez9ePDxDcp/HRJlkN+MTG68YW0e36HbFKGmaF+j3jlpNH4lI31jMhDml2Qu5lIQfKxtaJcfQu9Ga1POlmq/JpUZYU40QqNxtVDa0Krp7S2w/bi6eLhFMLgooCC2l2y5IBoZdKWmaF+j3DsDwLlEk4GWmMKdmQ7WVc8Yg69+N5ZT8RRvs3IMUf8crRY0QqNxt+Dt5pOu2ciyJkg3k5L6P3uPdVtGAdTuqJMcwc1QmXvjFBFQ1taHW2oHl730T0PtQI/PC8C5R+GMxE+bUbKg2Nd+zF4oU12Cxr9zCtz9Y8bd9P6BoaBpumJTj8bi/EwsqGa8UsdC0ktmxxZ4P+A6++vOepfIfA1MS0G0XMCjVfZtiY5Aar+M9pyX18TqGCbmpzpBsZUOr4vcAKMvtKGmwp2YzRF+v5W05EamPxUyYu3h4huyGakqbmYmRalA2bagFOyvdG9aZAAgA/vvftxBvKq/B8ve+webiIpw/0OxcLz89CZOHpHr0ugGA5LgY2Do9m/GJNaFTQiw07Qi5uvawkZodW+z5qYmxeOuWKXji4wqfwVdvDfZ6U9ps7pHZo/DAJvfmdpMGp+Jwfavb90lqYizW/GICfrt+r6xLlWJNAqWazcn9PlPasE7sPUvNdh7ojNfBmBGciPzDzEwEKMhIEl3e+w4Upc3MxEg1KBMEz4Z1Yn8nd9sFXLuq1GN5RZ142LftjGchA0g3p5NLLDRt6+j2aMYnNTu22POb27tw3epS2Q3cpN6DOcGzCZ2SZnPXrfIcw5fHmj0K3ub2Ltz4p52yCxmxJoHSE0LK/z5TknkRe89Ss50HOuN1MGYEJyL/8MxMmKtsaPXoGOtg6+j2u5mZ1GtJNSgrq3RvWPftD1bnGZneuu0CNn553HnJqaSiXnQqhLPbFh9L7yZ0SigJTQPnZsd2nJXw9nyxUK9YAzdvDfasp8Wb0LnydiyUvDdv7pk1HF12u9fJHL3lVfzN7Sh9z2KUNs2T+1pS+zfQ1yMi71jMhDlfAcpuu4BLh2d4LPenOZicsKajYd3f9nlveFd6pNFZzPgbYvZ3NmN/Xs91dmw1xuvvcXPwNzStRJfdjjsvP0/WulLfT0q+z3ytq0ZoWq5gzghORMrxMlOY8xWgdMws3fsW18qGVo/lYstcl/uaJdk1rFmYZ/G6btHQNOd2s/rFe9+wBKn3VlJRj+e3HMTnLn9Zu743f0LTrrNj+xu6rrd2OMfl73Fz8Dc0rYStvQtL3inHxi+Puy2X+j6RS8nzXY+lmqFpX/zdv2zSRxQcJiFYEX+dsNlsMJvNsFqtSE5W3jE2HCxYu8sjQBmFs6fvXU+JS4VDpQKUYutKzY5dmG/Bhlunui0b9vt/iF52iYkyYdrQNLftSrXMjzIBYu1YkuNj3PItMwrScc+s83DT67tkzQheXt2EU51eJjFyYU6IwVd/mOW2bPzD/yd6uSHaJH5prPfy1MRYDEtPwt7qFlnHTSxcOu/VL0QvVSXHR8PWoe6s2TFRJry1aDJW/6syJLNbSwWsB5jjceBHec0Upw21YP1vpvpeUYLYz5WvcPObiyb7/XpEkUbJ5zfPzEQA0RmgE2Nh6xX4lAqHSgUoxdaVyraINYaVmgl77MBkj+1KNZCTOhkkNmv27NU7ZM8I3t4lr5ABxGf+lmpYd0FOiug2ehc4ze1dOFTfKvu4iYVLpZvxij/Q+1ikJsbind9MlTUbd7ddwI2v7QzZ7NZSAWu5hQwQeEhcjXAzEamDZ2YiyLkZoE1Y8PqukL/+1rsvEc0LuM6EPXFwquRMzXom9d5cG9YNTElQ/N7+Z9FkDEpNlHXcXMdQ2dDq13586vqxqLGe9gj1Ot6Hrb0La0urFG9Xav84+Bqv6/NLKuplz5Ye6LjkkAoms0kfUWAMc2Zm5cqVuPDCC9GvXz9kZGRg9uzZqKiocFuno6MDxcXFsFgsSEpKwty5c1FXV6fRiI1BKnPgaHz2tYpdgZWoamoTHdvEwam4btxATBrSPyTB1WCoahLPdwxMScDYQSkYlJro13vbW93sbPb2Q8tpn2N4Z1c1lrxTjr98cUzxawHAj1bx13C8j2o/j88XlY1eczBywuMOana1ljpuSuSl9RWdiV1seaB5IqVC/XpEWtH0bqaSkhIUFxfjwgsvRHd3N37/+9/jiiuuwIEDB9C379lfAEuXLsXf//53bNy4EWazGbfffjvmzJmD0lLPXiSRTipzcM+V5+GmtbtUuyXXX6s/O+x2m7hYFufCIaliT9W93sFOsWMxabDy9/bpgTo8+8khWev++o3d6JF/dUzUMy6vlZoYi7cWTcETH1XIvuVZSu9ZswOZHVvNrtahCuQqyQMZ8fWItKary0wNDQ3IyMhASUkJZsyYAavVivT0dKxfvx7XX389AOD777/HyJEjUVZWhqlTfYf3Iukyk1Qg0WSSzpz4K9pkUjTRY0yUCYLge3LIYI43WNsVC3YqCYf62r6S/az29uQeNyXbl9pnUqHp1MRYlK+4Qta6coU6kCv1/RCsMYT69YiCwTCXmXqzWq0AgP79+wMA9uzZg66uLsycOdO5zogRI5Cbm4uysjLRbXR2dsJms7l9RQJvM0ur/QEOAEPTlf1F220XZH0gBmu8Z4OZRbLCrEq3KzbjtdSxaG7vwoTBKbK3r2YhAwAjs33Pau1K7nGLiTLhnd9MlTXDthqzY4sFrHt3tPYmlIFcb98PvfeDEV+PSA900zTPbrdjyZIlKCoqwujRowEAtbW16NOnD1JSUtzWzczMRG1treh2Vq5ciYceeijYw9WdUGRNHp8zBpn/noX6+S0HcbDev4kEQ8V1vI7cguss0jsrm7DjyEnF2/U1G7evY3HbpcMwxNI3oJmllZg5MgPzpw7GEEtfbP7qB+z/QZ0C/5aiITjZfsZtgtApQy3O4Kuv9xbI7NhiM4J32wXc7CUYLPb9EApqzPyt59cj0gPdFDPFxcXYv38/tm/3nOdGieXLl2PZsmXO/9tsNuTkeM7EHC4cM/NGS9+Hq5qm1k58cbQJRUPTUJhnwabymqC/ZiCmSMyabf/3mZ+RWcl+FTO+ZuOWk/9wXN0dmOJfQ0AlZo3KcnYLVjNvcsnwDPQIgkfuRO57U2N2bNcZwX1dMZf6fhCj5ozXct5bqF+PKNzoopi5/fbb8eGHH2Lbtm0YNGiQc3lWVhbOnDmDlpYWt7MzdXV1yMrKEt1WXFwc4uLigj1kzYkF/MwJsbCKzI4dEwV0ywyGSjV1A4CnXGa3jokyIQqA3Lxpv7gYnBKZ3VpMUlwUWmU2rBPLdEjNqCzWaE2pyUP6+/yw8TbT8+S8/vjD33o3GhQ/br0b//kj2gTnWRPg7CzqSvav1DFOjo9xu01cqoliamIsrO1dbtuQmh27MN8i2uSvUKQIUTI7uxqzvgcSnPX2/TAl3/P7IZivJ3c/EBmNppkZQRBw++234/3338dnn32GvLw8t8cnTpyI2NhYbNmyxbmsoqIC1dXVKCwsDPVwdUWswZjYByIAjB2YIpov6J0xSE2Mld1IrNsuwGTybLQmpV1idmsxpxU0rBuTnSy7QVmghQwAVNTJu0Qj1VDNZILs46YGsSZ9cvdvamIskiRyKGJNCcWaKNpOd3l8KEsdH6mTi2LLlczOrsas74HOeC31/SAInt8PwXw9Nu6jcKXpmZni4mKsX78ef/vb39CvXz9nDsZsNiMhIQFmsxmLFi3CsmXL0L9/fyQnJ2Px4sUoLCyUdSdTuFIyOzAA7D3egq13X4ITze3OfIGjIZpr5qCm+TTuVZDf6BGAp+aOAXB2YsjzMvrhyY8rJNeVvV0FtxeXn7C6zcYtdZpe6UzYUqynu91myJYiNtOzIAiKGtkFelYGAPZWt7jN1PzOrmqv+/fX0/PQLyEGE3JTYbcLspvTSc8WfTbAK2eW795dph12HGnymFFc7uzsas36HuiM10q+H4L1ejwjQ+FM02JmzZo1AIBLLrnEbfm6devwq1/9CgDw7LPPIioqCnPnzkVnZydmzZqF1atXh3ik+uLv7MBip+FcMwd/3XtC8XZLjzTiuZ+Pxw2TcrC1ol7x89VQ1dSGemsHyv6d53H80n5487fYUdmI6cPS0S9BvW/1N3ZU4a97T7gFX4GzBdO+Ey1uxaLrTM9a7h/HGMqOihcMDo1tnXjgJ+cDAJ7fclC1MQQ6y3dVUxsEQcCxk+2os3b4XFesiZ0UR15FznYdY/C3OFDy/SAV1FWSr1EyKzmRkWlazMhpcRMfH49Vq1Zh1apVIRiRMfgzY++dG8rd/tJPSYhFQUaSWxO7ggzlv/SKhp47lR2KmZrFuDaL21Reg3v+92u4fmd9X6vuXVefflfvfK3l732Dl+dPwO/++rXHpIebi6cjx3Jun2i1f3rPVu4tuO16PEPZnM7XvundcDGQ13IQy8coGUOg2RalQV02wiOSpqs+MySPI+Cn5A6m3pcsWk53eXw4VDYoP+PjemYiPz1J8fPV0PuySSi7QHbbBfz6f/aITnp47Sr3O/Py05NU73PjS0yUye0v859PzvW6fu+wsNxMlLfvxd5jEONt38REmbC3ukXWOFITY2WfiRDLx0gRG0Og2Rapn+NokwkzCtI93kew8jxE4YDFjEGJBfwC5U+Dto1fHnf++51d1WoOR1Mv/HxcwIVHc3sXPnf5K9pbY7hg6bYLbmMo8XFpo/d45TYw9NaMr/cYxHjbN3Ib9wHiDfakXk+ssZwUsTGo0YROblCXjfCIvNPFrdmkXO+AX521A/cFufmamNIjjc6/5n3lMfSsaKgFdkHARQXpuO3SYQCAa8cPPNdg78hJ7BC5bdiXvdXNzvyMVpNouo7B1ySNSsbr2jzQVzM+1+2KUXPfyGkKF+rXkyI3qMtGeETesZjRkBqNshy5o+wQNF8TUzQ0zRl8tST20WQMarhu3ECkJ8d55BRqmk/jaGMbslP927+29i4seaccRUPTMNGPiSbVMCA5AVsr6jHE0tdnDqa6qR3zXi3DRQXpuHK0eC8nB9fmgb6267ofxELTA5LV+/6VakLnukzN/JIaTeh8BXXZCI/IO11NNBkMepxoUo0gn9g2pJqsRZkAudMdmSA/cxJlOtvwTevZuAPVu1HgjIJ0/PaSPNy0dreq80TFRJkwPKsfvq1Rf74wqePWu+ndjIJ0lB8/iVMdPbK2e8EgM/b/YJM1YaHcyR9jokyioenoKPHb8vvFReNUp+/xOprQxURFuf1cTBtqgSDArSHfjIJ0dNvtHg32pLabFB8j2g+oMN+CDbeGpk0EJ4+kSKPk85vFjAbU+KUktg0p3rr6RhK5HYuVzCwdzAJFCalCwGM9kwl946IV9bCZUZAuq/A+3tSOa1dtD1lxGxNlcis2ZxSko6vHjl1H5RUok/P6IzZaXuHT0dWNXVWed1NNG2rB+t+Eppixtndh8YZy3s1EEYPFjAu9FTOVDa1eG6dtvfsSn5ecfG2DguuGiYPQZbc7Lx2F+7G4Z9ZwXDVmgOzma46cka29C2tLq4I6tqeuH4u0fnF+NSUEINlgT0mzQzk/s2piIzyKFEo+v5mZCTF/g3yu1/u1CpLSWYfqT2GIzNmew8Hnhxpg6dvHoymhWJNA4Fwjxr98cSzoY9txpAlD0hI9ztLIJdVgz/VvPF/H+IvKJtnFhdQ+U4KN8Ig88cxMiCk9MyOWjblwSCp2i5zyptCLhEt4vTNX0VFAYqx7jiU1MRZvLZqCJz6qUDTVhpr8mZhT7Z83qcs+YpOcijVWJKJzlHx+s89MiKnRKGvvsRakJsYqappH8inZr+FeyACe4fEeOzwCuc3tXaITTYaS0kJGrMFeoD9vUk3sxCY5FWusSET+YTGjATUaZTW3d2FCbkqwhxqRvDWAC4TMZrqGpaS5HQCPWdvPzuQe7bYsNTEW7/xmalA6J/dusKfGz5tYEztvk5z2bqxIRP5hZkYDajXKuu2yYRhi6YuqpjZsq2jAuh1VQRpx+MtPS8SD14yS1QBOiStGZiIxPhpFQ9NQeqTR67xIkeb5eeP/PU2A9EzujmXlK65wLj/W2I73yn9QZQyuGTUlP2++mlS6bldJo0Ii8g+LmRARa+IlFeRzrBvt4y/5IZa+qG5qw9cnWpCWZNyGdXoQBeDBTd+gMD8NPxk7QLXtzhyVgfR+Z7vk2u0CixkXju/f3uwSQd6LCtJxUUE6SirqVStmXJvNyWlM5/iZrWzwPnmpa+O+LB8NASfkatNMkSicMAAcZEoa5Imtm5oYC2t7l1t/lGiTCRMGp+Bwvby5fpQ0zaOz4qIBGX3avOq932cUpKP0SIOsfjCAsnBx3xgT2rq1Pchy+/gAwKjsfqhp6XD7/u0XHwMT3LMvUiHZ0X/4CK0iB0hJLyGxvk5KekBJrSvWuE/qWJoTYvDVH2bJGDFR5GEAWEeUzHQrtq7tdJdH0VM0LA0H6+QVMqmJsQjzqEZQBFrIAJ4FZOnhRiTGRouvLEJJaaJ1IQMASvLo39ac8vj+PdXR7RHilQrJihUygHQh03v2b7GMGiA/z+ZtXUGAx8+xVFE6PFP7OyyJwgEvMwWRI1DYm2tI0HXeGPF1z/5C/59Fk9FtF5yn5heu2y35uvfMGo4uux0TclNR03wa92owASV56hEEWW35HYx2Ni1Yd3Y5QrKOXMlLWw4p3ka3XXBrsCfVp0Vunk1qXaWN+3ZVnXT7PUBE/mExE0S+AoUffFUDAQIm5Kb6bPj12Xd1aD7dhaKhaaixnva6rmtTNyPPZE3ksLe6GXa7gH0nWvDRN7V+baPGetptkksHsTyb1NV3saZ3rtm3rRX1isfFGa+JAsdiJoh8BQqf+eSg89+9b1Ptbd2Os91UN5XX+LzF932XkGlCLK8kkvG9WlKJtjOBXfvrHbQVy6gV5ltgMp3tLOwwoyAd91x5Hm5au8tn0zt/ZuPmjNdEgeMnXRBJNcgTo6Thl5LLD6e75EYyKdjY5NB/gRYyqYmxHrc/i2XUyiqb3AoZ4Gz+ZfaqHbKa3in5mZdqlElEyrGYCTKxkCAZg9pN7s4PUjM+ctf7LKfjDIorqQZ5YnoEQfIysFjTO7Gf+cJ8C6YNtbgtkwoWE5FyvMwUZL1DgmxuZxzXjst2Nrv75ngLjjQqn1QyqU8UXpw/0dmM7xuVmvGRNKlmfK7UnCC0d9M7byFiznhNFBwsZkLEERKMAljMGETR0DR8caQJX1adhDnOv3b6A8wJ+Nu+H1A0NA3jBqWoO0ASNcTSF7sqm3C0sQ3Z5gTnctegrz/ZFilSTe/EmmJKBYvFQshiy4hIHJvmaWD8w/8n2iMmEmZgjmQxUSb0iTGh/Uz45ZiiTSZF8zIpoaTp49jsfjhQ2+p2WSgmChg7MAV7j7c4l80oSEdXjx27jp6UNe6YKKBb5LClJsaifMUVPp8v1Tzzkdmj8cCm/bJCyGKNNonCmZLPbxYzGjje1I5rV233uDMiL60v9la3aDcwIj/NKEhHY1sHDtSc0nooskh16jUnxMB62jOMPyEnBUeb2nzezSRFqltwckIMbKe7fRZUUl2IicIZixkXeixmHFwn1BuYkqCo2RaR1m6YOAj/OXaAX83i9GLr3ZcAONvrJdpkwoLXd3ld90Rzu9csjpjKhlbV9s3Wuy/hJSeKGEo+v5mZ0ZBj4jzAv2ZbRFr6rKIOJ5rbcVFBOkZm6+sPBbmqmtpw6fAM5KX19fkz6FhX6QzXaoaN2WCPSByLGZ1QM5BIFApNrV0oaz2JssqTWg/Fb0pnzfaHmj/bbLBHJI59ZnQiPz3JYzI8IpJPSVNCsYZ1Ug3vAm1ul5+ehNQAg7tssEfkHYsZnSipqPc5PxNRpOnbR/4s40PT5X/QqzFrtlyVDfJmuPeGDfaIvONlJp3Yd6JF6yEQBU1qYiwyk+MwfVg6igrScLOXWd/vvuI89AhnJ2DdW92MZz+RniX7V9MG4+LhGRhi6YvntxzEwfpWyXVnjszA/KmDVZs1Wy5/MzMr54xBljmefWaIZGAxEyK+GmCxoRqFs6GWRMTGRqN/3z4+MyQmwNnwztfPRXpSHL4+0YKYKBMK8yzY5DLJam/jc7xvy5WSWbOlONYdYI6X/bqupuZbWMREKDZMVI63ZgeZVLMssQZYUs30iMJNTkoCjrec9rleTJQJCbHRONXpeyLW1MRY2E53yWo8KfUzKPXzKnfWbAA41tSG2atK3daNiTLBLghuzf+k+sywp0zkUvJ5EQmUfH4zMxNkYjPzlh5uxOIN5R7rbi6eHnBQkMgI5BQyANBtF9B+plvWz0Vzexfk/mUm9TMo9fMqd9ZsAB6FDHD2fUT1ChYXDUvD5uLpqmd0yLiUfF6QO15mCiLHzLy99QgCth1qwNFG954ROZZElK+4wtlMz3a6C2u3V4VwxET60yMAv//Pkcgyx2NvdTNiTCY89X8HRdeVm6EX+xn09vMqVSU5Zs12XHIqqaiXPLvabRfw1PVjkdYvzu3ygdoZHTImpZ8X5I5nZoLIV/CvqqlNdPlFBem48/Lz0NR2JhjDIjKc0iONzp+LbhWvjLv+DPob1N1b3ez8t68gf431tLNJn6u8tL6iyyly+Pt5QWdpWsxs27YN11xzDbKzs2EymbBp0ya3xwVBwIoVKzBgwAAkJCRg5syZOHRI+s4GPahsaMXWinocbWzzGXSMNpmc64ptY1haUjCHSmQYRUPT8PDmb3HlcyX4rsam2naHWPrinV3VWPJOud/bdZ0121dgOSbKhOe3HMTnIn+BB8L19w4ZU7CaNkYKTS8ztbW14YILLsAtt9yCOXPmeDz+5JNP4oUXXsAbb7yBvLw8PPjgg5g1axYOHDiA+Hj/7hAIFqng1rShFuysdJ+ZNwpnbwF1nQfm7Ay6o/DApm9FTzUSRbLf/e/Xzn9/Xyt9+7USY7L74T+eKZHV3ykmyiS6XmpirNtdTRcPz0C/+Gic6ugR3c5TH5+7PKZkokopDIyGD0fTRrEJSYuGpfGsnQ+6uZvJZDLh/fffx+zZswGcPSuTnZ2Nu+66C3fffTcAwGq1IjMzE3/+859x4403ytpuqO5mkpoVd3Jef8RGu8/MK3bXhZIZdIkotCbkmHG0qV3W3Uxj//gxbB2+775ybKN8xRV+j0vq9w7vhjIma3sXFm8oZ3H6b2Ex0eTRo0dRW1uLmTNnOpeZzWZMmTIFZWVlksVMZ2cnOjs7nf+32dQ7JS3FW3CrrLJJ1sy8PYLA27KJdGrvcausWbNLKuplFzKAZ4BYCQZGw08wmjZGCt0GgGtrawEAmZmZbsszMzOdj4lZuXIlzGaz8ysnJyeo4wTkBbccJ8BqZN6SSkT6UtXUBrvIpSbXvIo/nbz3VjeLZl585WAiPTAazjkhBsKV0+2ZGX8tX74cy5Ytc/7fZrMFvaDxFdxavfUwdlc1e12HiPTtzg3lbmddzAmxGJ6ZhF0uP9ujs5Vfyv70QJ3blA3ThlogCEBZZZNzmdilhkgNjDInRGJ0e2YmKysLAFBXV+e2vK6uzvmYmLi4OCQnJ7t9BZu32XZTE2Ox91hL0MdARMHV+/KR9XSXWyEDAN/9eErRNmOiTDhQ4/6cHUea3AoZQLxxWrBm+dY7NpYjMbotZvLy8pCVlYUtW7Y4l9lsNuzcuROFhYUajkyc2Gy743NT0NzexUAvUQgkKphhO1iU/Kwnx8eg2y7Ieo5rDsZVMGb51jNHTqj3PpPaPxQ5NL3M1NraisOHDzv/f/ToUezbtw/9+/dHbm4ulixZgkceeQQFBQXOW7Ozs7OddzzpiVhwq6qpzevswEQUmGn5FkwZ2h8TclPx170nvE40qQdzxg/E4LRETMhNRbddUPz7oarJPdQbaYFROTmhcH7/JE3TYubLL7/EpZde6vy/I+uycOFC/PnPf8Y999yDtrY23HrrrWhpacH06dPx0Ucf6a7HjKu8tHO/THRy1ztR2MpOiXfOsO1r1mw9mJpvQXpyHAalJvr1+0EqB+P6eyecRWpOiHzTTZ+ZYNF61uyfri5FeXVLyF+XKNLERJnQYxdkTzYJnM2XqH0ZODoK6LF7Lo+JArpdls8oSEdHVw92VZ2Utd3CfAs23DpVpVEaF3vrRA7Omq0jXx9v0XoIRBGhW2EhkxQX7ZE3SY4XP1mt5BdlYqx4dqe7V4FTergRFXXy+2D1yvlGrEjLCZE8YXdrtp68s6varcsvEelHa2cPfjMjDw9dN8prQ0sAEDnRIulUp/hUBr31CAKsp+U32NtxpImN8BB5OSGSh8WMyt7ZVY2yo00oGpqGsqNNvp9ARJrZW92MmubTKDvaBEtiH62H45NUwLWyoRXHTrbr8oM9WGOLlJwQycNiRiXfnGjBT1fvcE5Gt6m8BlE8LUyka89/eggy5pnUjd4BVz03kNPz2Cj8MDOjEtdCxsFIvySJIpGWP6PRJhNiZP7FI9UIT88N5PQ8Ngo/LGZU8M6uao9ChojImwmDU2T/3hALuOq5gZyex0bhiZeZVMBsDBHJcfO0IZgxPF1WU82Vc8YgyxwvmTXRcwM5PY+NwhPPzKigMM+i9RCIyABGDujn/LevBnADUxK8Pq7nBnJ6HhuFJ56ZUcHPJ+di+XvfKLp9k4iMIwrKbs8WExMF3PPXb5z/n1GQjuGZSaioa/VYt2+fKLfbxMWCs46JJqUayGl55kPPY6PwxDMzKmEhQxS+lPx8S/1SFW+a51nIAEDbGbvHumLBWT03kNPz2Cj88MyMCl7ackjrIRCRTsgtfJRMo+AanDXKRJN6HhuFHxYzAXA0g/r0+zqth0JEEaCqqQ2CIHg0oZNqICfWsC7UDfbY3I5CgcWMH8SaQRERBdvqrYexu6rZ+X+pJnRiv6MK8y0wmc5Oi+Dr+URGw8yMH8SaQRERKRGtcObImCgT9h5rcVsmlaUR+x1VVtnkVsh4ez6R0bCYUUiqGRQRkRLnZ/fzvZKLbrsgqwmdkt9RbGJH4YKXmRTy1QyKiEiKayO8zV/9gG9+sKmyXdcmdP78jmITOzI6FjMK+WoGRUQkZWBKgvOMybhBKaptN9oEbK2oxxBLX79+R0k1sVMjLKznGb0pfLCYUSg/PQnnZ/fDgZpTWg+FiHTIBEDsAk9yfIxHI7x+8dE41dEja7v94mNwqqPbY7k5IQYLXj83LcKMgnQU5luw6+hJn5eapJrYqTHjNWfNplBiZsYPLGSISIpU+WDrVYiUHm6ECfJDwFJrWk+LbNcEj4Z1hfkWTBvqPvWKVBM7NWa85qzZFEo8M6PQw5u/1XoIRBQGegTBo8DxRu66PYKAHUeasPXuSwDAo2GdryZ2jgCx2HbFGveJUWMbREqwmFFoRyVvySYi/atqasOlwzM8igZfTez8nfHaNRvjaxtfVDbJ7grMzA3JwWJGoWn5afi+Vnw+FSIivfB3ZmqlM16LZWMmDU71uo3l77lPuCm38R8zNySFmRmFVlw7SushEBFJijaZMKMg3e+zGI4Zr3s39ZParlg2pry6BamJsbIaAypp/MfMDUlhMaNQSUW91kMgIpKkxszUcme8lmrQ1yMIaG7vwoTBKT5fS0njPzb5Iym8zKTQvhMtWg+BiMiNazM+NXIlcme89pWNue3SYRhi6YuqpjbUWTtwn8vlpd6UNP5jkz/qjWdmFFKz0RURkRoO1Z3CqyVH8M9vflR1u4KPPjVy8jV5aX1x6fAMTM7r73NdJdslcsUzMwpdPDwDsQC6tB4IEUWUpLhotHaKN9h7vbQKAFBWeRJPflyBd34zFVN69ZRRQm741pGvKT3c6HZJSKwZX7DWJQJ4ZsYvLGSIKNSkChkxP3/ti4BeS0n4Vm6+JpjrEpkEX+cRDc5ms8FsNsNqtSI5OTng7f3nsyU4UMdbs4lI3+6ZNRy3XTpM8fMqG1px2dMlko9vvfsS0TMjvvI1oViXwouSz29eZlLoMFP0RGQAnx9qwKjsZOw70YIJuam4qCBd1vPkhG8FQfBoZFfd1IavT7QgJsrks+jw1bhPzrpKmumx8V74YzGj0LC0vjwzQ0S6V368BQvXnZuAMjUxFpuLpyPH4j1c6yt8u3rrYeyuanb+/8IhqThY1wrr6XMX4OW+lj+UNNNj473IwcyMQv9YerHWQyAi8qmjy+72/+b2Lly7arvP5+WnJyEmSrrZ3d5jLW7/313V7FbIKHktfyjJ87DxXuRgMaPQkPv+rvUQiIj80tzehc9FJoB0VVJRj267dJSydyO7QF5LKSXN9Nh4L7KwmCEiiiB7q5u9Pq5mY1Bfr6WUnDyPP+uS8RmimFm1ahWGDBmC+Ph4TJkyBbt27dJ6SEREhrRh5zEM+/3f8R9P/8tt+ZyXtmPkg//Eh+U1qr3WhNxU3PXOPkx/Ygt+t/Er5/LKhlZsraj3ODvy8OZvceVzJXjkwwOiy3zleT78qkb2up9XNGDeq2VYvfWwz/chNV6p5YES226wXkuJkop6PL/loNsZNz2MCzDArdnvvPMOFixYgJdffhlTpkzBc889h40bN6KiogIZGRk+n6/2rdkALzURUfiYkN0Pe2tOqb7daABinXGGZyahwuUmihkF6ZgzfgCWvPu1rO3mpCbgePNpWeuen90PFT+2yro0JtZoUCpA/Mjs0Xhg037Vg8VirzdtqAWCAJRVNqn6Wkoca2rD7FWlaG4/l41KSYhFQUYSdh87d/ZN7XEp+fzWfTEzZcoUXHjhhXjppZcAAHa7HTk5OVi8eDHuu+8+n89nMUNEpF/RJpPsHI4/ZhSkuxUH3lQ9frXb/xes3SXahTg5IQa2092i3YnfXDTZ77GKvZ4YNV5LifEP/59bISNF7XEp+fzW9WWmM2fOYM+ePZg5c6ZzWVRUFGbOnImysjLR53R2dsJms7l9qYmFDBGReoJZyADAeZlJ2Hr3JVh384W4ZdoQr+u6XnLyNSO42sFiqdcTE8oQc0lFvaxCBtA2XK3rYqaxsRE9PT3IzMx0W56ZmYna2lrR56xcuRJms9n5lZOTE4qhEhGRDm0/3OCc7PK7Wu9/3LpmQXwFiKX4Gyz25/VCEWL2JxCuRbha18WMP5YvXw6r1er8On78uNZDIiIijUwfdq7zcdHQNC9rwq1Lsq8AsRR/Z/T25/VCMXv4uEEpip+jxazmui5m0tLSEB0djbq6OrfldXV1yMrKEn1OXFwckpOT3b7U1PuaKhFRJIk2STfU08P2envgJ+c7/3375QVe13Wdy8oxc3fv8UWbTEhNjBVdPqMg3e/pEqReT0ygr6XExcMzkCoz0BvKcfWm62KmT58+mDhxIrZs2eJcZrfbsWXLFhQWFmo4MiIicUrmiOmrYOU4BdtN7xste91JOfL/4PvdFed5zGSdL/HB9dNxA0SXD89Mcvt/0bA0vPDzcYrGINfaBZM8lr3zm6mi64otl5q5e3Px9KDM6C32etOGWlCY736XVahnD99cPN2joElJiMWFg1M1HZcr3d/N9M4772DhwoV45ZVXMHnyZDz33HN499138f3333tkacQE424mB9cwsOOMjdgyrst1uW74rpt/399hx9m/DCtd1i1Y/nd0CUCsCTi08uzy837/d5yxA32igIOPnVv3/Af+gfZuAYkxJhx45D8ll0m93sVPfIbjLaeRk5KAknsvc6474v6/o6MHiI8Gvn/07Lr/8fS/cLSpDXmWvvjkrkuc616/uhTf/mjDqAHJ+N/bigAAN/3pC+w70YJxg1LwP78+92EvNpO11Lq/2/gVyiobUZifhqduuEDy+QDwyIcHsP1wA6YPS3eeURFbBpwN635+qAEXFaQ7z6hIrStG7PlSpMYbrBm9xbarh9nDPz/UgL3VzW4TlwZzXGF1azYAvPTSS3jqqadQW1uLcePG4YUXXsCUKVNkPTeYxQwREREFR9gVM4FgMUNERGQ8YdNnhoiIiMgXFjNERERkaCxmiIiIyNBYzBAREZGhsZghIiIiQ2MxQ0RERIbGYoaIiIgMjcUMERERGRqLGSIiIjI0JXOiGZKjwbHNZtN4JERERCSX43NbzkQFYV/MnDp1CgCQk5Oj8UiIiIhIqVOnTsFsNntdJ+znZrLb7aipqUG/fv1gMpk0G4fNZkNOTg6OHz/OOaIMhMfNmHjcjInHzXiCecwEQcCpU6eQnZ2NqCjvqZiwPzMTFRWFQYMGaT0Mp+TkZP6QGhCPmzHxuBkTj5vxBOuY+Toj48AAMBERERkaixkiIiIyNBYzIRIXF4c//OEPiIuL03oopACPmzHxuBkTj5vx6OWYhX0AmIiIiMIbz8wQERGRobGYISIiIkNjMUNERESGxmKGiIiIDI3FjIpWrlyJCy+8EP369UNGRgZmz56NiooKt3U6OjpQXFwMi8WCpKQkzJ07F3V1dRqNmMQ8/vjjMJlMWLJkiXMZj5s+/fDDD/jlL38Ji8WChIQEjBkzBl9++aXzcUEQsGLFCgwYMAAJCQmYOXMmDh06pOGIqaenBw8++CDy8vKQkJCAoUOH4r/+67/c5t/hcdPetm3bcM011yA7OxsmkwmbNm1ye1zOMTp58iTmz5+P5ORkpKSkYNGiRWhtbQ3KeFnMqKikpATFxcX44osv8Mknn6CrqwtXXHEF2tranOssXboUH3zwATZu3IiSkhLU1NRgzpw5Go6aXO3evRuvvPIKxo4d67acx01/mpubUVRUhNjYWPzzn//EgQMH8PTTTyM1NdW5zpNPPokXXngBL7/8Mnbu3Im+ffti1qxZ6Ojo0HDkke2JJ57AmjVr8NJLL+G7777DE088gSeffBIvvviicx0eN+21tbXhggsuwKpVq0Qfl3OM5s+fj2+//RaffPIJPvzwQ2zbtg233nprcAYsUNDU19cLAISSkhJBEAShpaVFiI2NFTZu3Ohc57vvvhMACGVlZVoNk/7t1KlTQkFBgfDJJ58IF198sXDnnXcKgsDjplf33nuvMH36dMnH7Xa7kJWVJTz11FPOZS0tLUJcXJywYcOGUAyRRFx99dXCLbfc4rZszpw5wvz58wVB4HHTIwDC+++/7/y/nGN04MABAYCwe/du5zr//Oc/BZPJJPzwww+qj5FnZoLIarUCAPr37w8A2LNnD7q6ujBz5kznOiNGjEBubi7Kyso0GSOdU1xcjKuvvtrt+AA8bnq1efNmTJo0CTfccAMyMjIwfvx4vPbaa87Hjx49itraWrfjZjabMWXKFB43DU2bNg1btmzBwYMHAQBfffUVtm/fjquuugoAj5sRyDlGZWVlSElJwaRJk5zrzJw5E1FRUdi5c6fqYwr7iSa1YrfbsWTJEhQVFWH06NEAgNraWvTp0wcpKSlu62ZmZqK2tlaDUZLD22+/jb1792L37t0ej/G46VNlZSXWrFmDZcuW4fe//z12796NO+64A3369MHChQudxyYzM9PteTxu2rrvvvtgs9kwYsQIREdHo6enB48++ijmz58PADxuBiDnGNXW1iIjI8Pt8ZiYGPTv3z8ox5HFTJAUFxdj//792L59u9ZDIR+OHz+OO++8E5988gni4+O1Hg7JZLfbMWnSJDz22GMAgPHjx2P//v14+eWXsXDhQo1HR1Leffdd/OUvf8H69esxatQo7Nu3D0uWLEF2djaPG/mNl5mC4Pbbb8eHH36IrVu3YtCgQc7lWVlZOHPmDFpaWtzWr6urQ1ZWVohHSQ579uxBfX09JkyYgJiYGMTExKCkpAQvvPACYmJikJmZyeOmQwMGDMD555/vtmzkyJGorq4GAOex6X3XGY+btn73u9/hvvvuw4033ogxY8bgpptuwtKlS7Fy5UoAPG5GIOcYZWVlob6+3u3x7u5unDx5MijHkcWMigRBwO233473338fn332GfLy8twenzhxImJjY7FlyxbnsoqKClRXV6OwsDDUw6V/u/zyy/HNN99g3759zq9JkyZh/vz5zn/zuOlPUVGRR+uDgwcPYvDgwQCAvLw8ZGVluR03m82GnTt38rhpqL29HVFR7h890dHRsNvtAHjcjEDOMSosLERLSwv27NnjXOezzz6D3W7HlClT1B+U6pHiCPbb3/5WMJvNwr/+9S/hxx9/dH61t7c71/l//+//Cbm5ucJnn30mfPnll0JhYaFQWFio4ahJjOvdTILA46ZHu3btEmJiYoRHH31UOHTokPCXv/xFSExMFN566y3nOo8//riQkpIi/O1vfxO+/vpr4brrrhPy8vKE06dPazjyyLZw4UJh4MCBwocffigcPXpUeO+994S0tDThnnvuca7D46a9U6dOCeXl5UJ5ebkAQHjmmWeE8vJy4dixY4IgyDtGV155pTB+/Hhh586dwvbt24WCggJh3rx5QRkvixkVARD9WrdunXOd06dPC7fddpuQmpoqJCYmCj/96U+FH3/8UbtBk6jexQyPmz598MEHwujRo4W4uDhhxIgRwquvvur2uN1uFx588EEhMzNTiIuLEy6//HKhoqJCo9GSIAiCzWYT7rzzTiE3N1eIj48X8vPzhfvvv1/o7Ox0rsPjpr2tW7eKfp4tXLhQEAR5x6ipqUmYN2+ekJSUJCQnJws333yzcOrUqaCM1yQILm0XiYiIiAyGmRkiIiIyNBYzREREZGgsZoiIiMjQWMwQERGRobGYISIiIkNjMUNERESGxmKGiIiIDI3FDBERERkaixkiIiIyNBYzREREZGgsZoiIiMjQWMwQke589NFHmD59OlJSUmCxWPCTn/wER44ccT6+Y8cOjBs3DvHx8Zg0aRI2bdoEk8mEffv2OdfZv38/rrrqKiQlJSEzMxM33XQTGhsbNXg3RBRsLGaISHfa2tqwbNkyfPnll9iyZQuioqLw05/+FHa7HTabDddccw3GjBmDvXv34r/+679w7733uj2/paUFl112GcaPH48vv/wSH330Eerq6vCzn/1Mo3dERMHEWbOJSPcaGxuRnp6Ob775Btu3b8cDDzyAEydOID4+HgDwpz/9Cb/5zW9QXl6OcePG4ZFHHsHnn3+Ojz/+2LmNEydOICcnBxUVFTjvvPO0eitEFAQ8M0NEunPo0CHMmzcP+fn5SE5OxpAhQwAA1dXVqKiowNixY52FDABMnjzZ7flfffUVtm7diqSkJOfXiBEjAMDtchURhYcYrQdARNTbNddcg8GDB+O1115DdnY27HY7Ro8ejTNnzsh6fmtrK6655ho88cQTHo8NGDBA7eESkcZYzBCRrjQ1NaGiogKvvfYaLrroIgDA9u3bnY8PHz4cb731Fjo7OxEXFwcA2L17t9s2JkyYgL/+9a8YMmQIYmL4a44o3PEyExHpSmpqKiwWC1599VUcPnwYn332GZYtW+Z8/Be/+AXsdjtuvfVWfPfdd/j444/x3//93wAAk8kEACguLsbJkycxb9487N69G0eOHMHHH3+Mm2++GT09PZq8LyIKHhYzRKQrUVFRePvtt7Fnzx6MHj0aS5cuxVNPPeV8PDk5GR988AH27duHcePG4f7778eKFSsAwJmjyc7ORmlpKXp6enDFFVdgzJgxWLJkCVJSUhAVxV97ROGGdzMRkeH95S9/wc033wyr1YqEhASth0NEIcaLyURkOG+++Sby8/MxcOBAfPXVV7j33nvxs5/9jIUMUYRiMUNEhlNbW4sVK1agtrYWAwYMwA033IBHH31U62ERkUZ4mYmIiIgMjUk4IiIiMjQWM0RERGRoLGaIiIjI0FjMEBERkaGxmCEiIiJDYzFDREREhsZihoiIiAyNxQwREREZ2v8HCmgKvcu6oaAAAAAASUVORK5CYII=",
      "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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",
      "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 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.scatter(y='prior_M',x='prior_F')\n",
    "df.plot.scatter(y='prior_M',x='age')\n",
    "df.plot.scatter(y='bond_arcsinh',x='age')\n",
    "df.plot.scatter(y='gini',x='age')\n",
    "\n",
    "df.plot.hexbin(y='prior_M',x='prior_F')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0655ba17-ebdc-48ba-a8a7-5e29c57cfdac",
   "metadata": {
    "id": "0655ba17-ebdc-48ba-a8a7-5e29c57cfdac"
   },
   "source": [
    "## Statistics: Measures of Association\n",
    "- Covariance: Essentially, the common variance between two variables\n",
    "$$\n",
    "\\text{cov}(x,y) = \\dfrac{(x_1-\\bar{x})(y_1-\\bar{y}) + (x_2-\\bar{x})(y_2-\\bar{y})+...+(x_N-\\bar{x})(y_N-\\bar{y}) }{N-1} = \\dfrac{\\sum_{i=1}^{N} (x_i-\\bar{x})(y_i-\\bar{y}) }{N-1}\n",
    "$$\n",
    "Notice how $\\text{cov}(x,x) = s^2$.\n",
    "- Look at each pair $x_i$ and $y_i$. If they tend to both be above or below their averages, then there is positive covariance. If one tends to be above its average when the other is below, then there is negative covariance.\n",
    "- Correlation: The covariance normalized by the\n",
    "$$\n",
    "r_{x,y} = \\dfrac{\\text{cov}(x,y)}{ s_x s_y}\n",
    "$$\n",
    "This is helpful because it is between zero and 1, with 1 being perfect positive correlation, -1 being perfect negative correlation, and 0 being no correlation at all"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "820063cc-cdc9-43e8-b23f-55769bc88799",
   "metadata": {
    "id": "820063cc-cdc9-43e8-b23f-55769bc88799"
   },
   "source": [
    "## Covariance and Correlation Matrices\n",
    "- The function `df.cov()` will compute all of the variances and covariances for everything in your dataframe, and `df.corr()` will compute the correlations\n",
    "- The output will be a matrix: The variances of the variables will be on the diagonal, and the covariances/correlations will be the off-diagonal terms\n",
    "- You probably want to use `df.loc[:,list]` to restrict attention to a set of variables in `list`, rather than compute all the possible covariances/correlations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5114b267-abf8-416a-91d7-306785d68750",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "5114b267-abf8-416a-91d7-306785d68750",
    "outputId": "6fe94611-1ee1-4f72-e580-f442275ca5be"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           prior_M    prior_F\n",
      "prior_M  19.700497   6.580946\n",
      "prior_F   6.580946  12.178719 \n",
      "\n",
      "          prior_M   prior_F\n",
      "prior_M  1.000000  0.424863\n",
      "prior_F  0.424863  1.000000\n"
     ]
    }
   ],
   "source": [
    "vars = ['prior_M','prior_F']\n",
    "\n",
    "VCV = df.loc[:,vars].cov() # Compute the variance-covariance matrix for vars\n",
    "print(VCV,'\\n')\n",
    "\n",
    "cor = df.loc[:,vars].corr() # Compute the correlation matrix for vars\n",
    "print(cor)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff5c4112-d7f0-4f6c-84c2-7c6b466eb9a4",
   "metadata": {
    "id": "ff5c4112-d7f0-4f6c-84c2-7c6b466eb9a4"
   },
   "source": [
    "## Exercises (Scatter Plots and Covariance)\n",
    "- Plot a scatterplot of the `sentence` and `bond` variables. What do you see?\n",
    "- Try a scatterplot of the inverse hyperbolic sine of `sentence` and `bond`.\n",
    "- What are the covariance and correlation matrices between `sentence` and `bond`?\n",
    "- Do you see a strong connection between these variables in the data? Should there be?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88c19d16-1d21-47b9-94e6-eec6b31c3138",
   "metadata": {
    "id": "88c19d16-1d21-47b9-94e6-eec6b31c3138"
   },
   "source": [
    "## Grouping\n",
    "- We very often want to **condition** or **group** our sample statistics and plots on specific categorical variables: For example, the bond or sentence conditional on race or sex\n",
    "- This provides valuable context for what the numbers mean\n",
    "- A lot of our tools immediately become more powerful when we can quantitatively differentiate between different categorical cases"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3aea1e0f-26c6-4edc-88fd-d41065678c2c",
   "metadata": {
    "id": "3aea1e0f-26c6-4edc-88fd-d41065678c2c"
   },
   "source": [
    "## Kernel Density Plots\n",
    "- A downside of histograms is that plotting multiple variables on the same plot at the same time often becomes a jumbled mess: Do you stack them? Jitter them?\n",
    "- The alternative is to use a smoothed line to represent each variable; this is called a **kernel density plot**\n",
    "- The intuition of a kernel density plot is that each data point gets its own little bell curve, centered at its value. All the bell curves are averaged together.\n",
    "- So if data are bunched closely, their bell curves sum to a large value. If the data are sparse around some values, the sem is small\n",
    "- This renders the jagged histogram into a smooth plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ae41284a-a954-404d-98a7-3ceb143f3c69",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "ae41284a-a954-404d-98a7-3ceb143f3c69",
    "outputId": "2846bf7a-1cc8-47f8-cfb4-cd0b8ff61709"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var = 'age'\n",
    "df[var].plot.density() # The kernel density plot for age"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e67b188b-4f0f-48bb-8b91-61ba93287eb7",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "e67b188b-4f0f-48bb-8b91-61ba93287eb7",
    "outputId": "773c6d86-e1a1-4c44-e52e-450932d9bae8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Frequency'>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[var].plot.hist() # The histogram version"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b6618d9-2764-4b1c-8872-6c05f53e6421",
   "metadata": {
    "id": "8b6618d9-2764-4b1c-8872-6c05f53e6421"
   },
   "source": [
    "## Kernel Density Plots\n",
    "- The upside is that it's easy to visualize many series at once, grouped by a categorical variable, and the choice of \"bins\" isn't as arbitrary (there are a lot of good ways to pick the **bandwidth**)\n",
    "- The downside is that if the data have big spikes, the kernel density plot struggles to represent that faithfully, because it is trying to smooth everything out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5d1b7b24-1eea-49f4-a7a1-fb401ea34f5c",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "5d1b7b24-1eea-49f4-a7a1-fb401ea34f5c",
    "outputId": "bed2dd93-ce1c-4b55-a067-96171b8ed60c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var = 'bond'\n",
    "df[var].plot.density() # Not so good for bond"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "da9adfa2-ad17-4cb6-abd7-dbe50c94a1f6",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "id": "da9adfa2-ad17-4cb6-abd7-dbe50c94a1f6",
    "outputId": "c58f7b4c-a88b-4a5d-babb-92318033abdd"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var = 'bond_arcsinh'\n",
    "df[var].plot.density() # That looks pretty bad"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9ac7173-3e47-4a06-8f25-9bf704f1538d",
   "metadata": {
    "id": "f9ac7173-3e47-4a06-8f25-9bf704f1538d"
   },
   "source": [
    "## Pivot Tables and Grouped Density Plots\n",
    "- To make very useful plots to compare the same variable for different groups, you have to do two steps:\n",
    "    1. Make a **pivot table** of values, using `df_wide = df.pivot(columns=group,values=var)` where `group_by` is the categorical variable to condition on, and `var` is the variable to plot. This is often called a \"wide\" dataframe because it explodes values by columns.\n",
    "    2. Call the `.plot.density()` method on the `df_wide` dataframe you built in step 1\n",
    "- The result is a kernel density plot, where each line corresponds to one of the values that the conditioning categorical variable takes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "37576cf6-65a6-4e4e-a479-53322b3d88b4",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 860
    },
    "id": "37576cf6-65a6-4e4e-a479-53322b3d88b4",
    "outputId": "249afdc8-8c69-4a2c-9938-dff455001e2c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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TJESP8uOPP1JSUsINN9zQICN0ySWX8O6773a7oEhqioQQhwVFkW2/hytTVJkPtbZjH5MQokt79913OeOMMxqdIrvkkkvYvHkzO3bs6ISRtZ1kioQQh4Ii/6i238MnBPQmcNi0+wXFemZsQogu6Ycffmjy2Pjx47tlW75kioTo6VQVKjwwfaYohzJNriBLCCG6EQmKhOjpasrAYdW+PpbpMzgUVElQJITohiQoEqKncwUw5kAweh/bvfzqpt9c3WxCCNGNSFAkRE/nic4zF3/X9Fn+sd9LCCE6mARFQvR0rgDmWIqsXdw1RZIpEkJ0PxIUCdHTuaa6PJEpcgVFFVJTJITofiQoEqKn88QaRS7SfSaE6MYkKBKip/NkUOQvQZEQovuSoEiInq5dMkX54HQe+/2EEKIDSVAkRE/nLrT2QFDkW1eX5LRDdcmx308IITqQBEVC9HTuQmsPBEUGE/iEal9LB5oQx705c+agKIr7IzQ0lBkzZnS7Pc9cJCgSoiertUF1sfa1J4Kiw+8jdUVC9AgzZswgJyeHnJwcli1bhsFg4Nxzz+3sYbWJBEVC9GSVdVNnOgN4h3jmntKWL0SPYjabiYqKIioqitGjR/Pggw9y8OBBCgoKOntorWbo7AEIITqRK5vjGwE6D/2OJJkiIY6ZqqpU11Z3+HO9Dd4oitLm6y0WCx999BEDBgwgNDTUgyPrGJ0aFK1evZr//Oc/bNmyhZycHL755hsuvPBC9/E5c+bwwQcf1Ltm+vTpLFmypNn7vv766/znP/8hNzeXUaNG8eqrrzJ+/Pj2eAtCdG+uImtPLNzoIm35Qhyz6tpqJnwyocOfu+HKDfgYfVp1zY8//oifnx8AlZWVREdH8+OPP6Lz1C9aHahTR1xZWcmoUaN4/fXXmzzn8LnKnJwcPv3002bv+fnnnzN37lweffRRtm7dyqhRo5g+fTr5+bIXkxANuIqsPbHFh4t7+kwKrYXoCaZOnUpiYiKJiYls3LiR6dOnM3PmTNLT0zt7aK3WqZmimTNnMnPmzGbPcc1VttSCBQu46aabuP766wFYuHAhP/30E++99x4PPvjgMY1XiONOe2SK/GRTWCGOlbfBmw1XbuiU57aWr68vAwYMcH//zjvvEBgYyNtvv81TTz3lyeG1uy5fU7Ry5UoiIiIIDg7m9NNP56mnnmpyntJms7FlyxbmzZvnfk2n03HGGWewbt26Jp9htVqxWq3u78vLyz33BoToytwLN3owU+TKOklLvhBtpihKq6exugpFUdDpdFRXd3xN1LHq0hN+M2bMYPHixSxbtoznnnuOVatWMXPmTBwOR6PnFxYW4nA4iIys31ocGRlJbm7TP6Dnz59PYGCg+yM2Ntaj70OILsvVfeYbftRTqy02dq3OoqzgKD/oJFMkRI9itVrJzc0lNzeXPXv2cNddd2GxWDjvvPM6e2it1qUzRVdccYX76xEjRjBy5Ej69+/PypUrmTZtmseeM2/ePObOnev+vry8XAIj0TNUFmqf/ZoPimptDr7+z1ZK86oweRu44uHx+Id4NX6yKyiyloOtCkzd87ddIUTLLFmyhOjoaAD8/f0ZPHgwX375JVOmTOncgbVBl84UHalfv36EhYWRlJTU6PGwsDD0ej15efW7XvLy8pqtSzKbzQQEBNT7EKJHqKxbR8QnrNnT9q7PpTSvCgBbdS1blzRTQGn2B1ddgnSgCXFcW7RoEaqquj/Ky8vZuHEjl1xySWcPrU26VVCUmZlJUVGROyI9kslkYty4cSxbtsz9mtPpZNmyZUycOLGjhilE9+HKFB1l+mz/Bm36ue9wrZ5v/6Y8nI4mNnxVlEOF2xIUCSG6kU4NiiwWi7uNDyA1NZXExEQyMjKwWCz84x//YP369aSlpbFs2TIuuOACBgwYwPTp0933mDZtGq+99pr7+7lz5/L222/zwQcfsGfPHm677TYqKyvd3WhCiDq1Nqgp1b5uJiiyVdeSm6o1H5x2RQJmHwO26loKMixN39sVFFV2vxVthRA9V6fWFG3evJmpU6e6v3fV9Vx33XW88cYb7Nixgw8++IDS0lJiYmI466yzePLJJzGbze5rkpOTKSwsdH9/+eWXU1BQwCOPPEJubi6jR49myZIlDYqvhejxqoq0z4oOvIObPC03pQzVqRIQ5kVAmDfRA4JI21FI1oESIuObmGp2BVkSFAkhupFODYqmTJmCqqpNHv/111+Peo+0tLQGr915553ceeedxzI0IY5/VXW/TPiENrvFR2GmlhGKiNMCoF4JWlCUfaCUsWf1bfwiV1BkkaBICNF9dKuaIiGEB7myOEepJyo8WAFAWG9tGf+YgUEA5CaXNf1LjUyfCSG6IQmKhOip3EXWzXeeuTJFYbH+AITG+KHoFKxVtVSWWhu/yD19JmsVCSG6DwmKhOipWtCOb7c53K34rkyR3qgjKFJbe6goq7LxC2X6TAjRDUlQJERP1YJ2/NLcKlQVvHyN+ASY3K+H9vIFoCiriQ40KbQWQnRDEhQJ0VO1oKbItaVHYIQ3iqK4Xw/tpWWNmgyK3DVFMn0mhOg+JCgSoqdqQU1ReWFdUBR+aOfsKnsVgdHashhF2UeZPqsp09ZDEkKIbkCCIiF6qqqjB0Vl+Vo9UUC4N6qq8uKWF5n06SRu33SjdryguvEONK8g0NWt+CFTaEIct+bMmcOFF17Y2cPwGAmKhOipWjJ9dlim6Jukb3hv13s4VAf5hiycOKm1OqgqbyQTpNMdKuCWoEgI0U1IUCRET9WCQmtXTZFPiJHXE18H4O6xd3NG/DQqzSV151Q1frGfFFsLIbqXTl3RWgjRSezVYKsrkvYJbfQUR60TS4m2DtHGqjXkV+UT6RPJtUOvpcxaxku/fI2/NZTdKQeIGTC+4Q18ZQFHIdpKVVXU6uoOf67iXb+poqeRoEiInsiVJdIZwSuw8VNKraCC3qDj9/xfALhs0GWY9CbCfcIJjPCGMtiyfydnntVYUORaq0g60IRoLbW6mn1jx3X4cwdt3YLi49Phz+0qZPpMiJ7o8HqiJn4rtNStVu0VaGBD7gYAZsTNcB8fGj8AgMK8cuwOe8MbyPSZEKKbkUyRED1RVZH2uZnOM9cWHrXe1ThUB4OCB9EnoI/7+OD4/qSzG9+qIDblbmJSr0n1byALOArRZoq3N4O2bumU5/ZkEhQJ0RO5M0VHD4rKDNpU28SYifWOB0doq1oH1ISx/ODyRoKiupoimT4TotUURenR01idRabPhOiJWtCO7yqyzlLTARgfVb9uKCBM+43Sy+HLtoztDW/gzhQVHuNghRCiY0hQJERP1IKgyJUpyiMLvaJnbOTYeseNZj1eAVqyuaSgkqLqovo3cNcUSaZICNE9yPSZED1RZV0A00Q7PhwKiizmUgYGD8TX6NvgnMBQH2rKy/GzBrMlbwtnxZ116KC7Jb8QnE5tQUchxHFl0aJFnT0Ej5KfUkL0RC2ZPqsLiipNpQwNHdroOf4hXgD42YLZnLe5/kFXvZLqgOqSYxuvEEJ0AAmKhOiJjhIUqU7VnSmqNJUxNKTxoMivLijyt4Y0DIr0RvAOrv88IYTowiQoEqIncrfkNx4UVVvsOB0qKk6qjOUMCxvW6HnuTJE1mKSSJCrtlfVP8JW6IiFE9yFBkRA9jaoelilqvKbIlSWqNlrQ6RUGBg9s9Dz/EDMAwfYIVFT2FO2pf4Js9SGE6EYkKBKip7FZoLZG+7qJTNHhU2cDggdg1psbPc8/tG76zBYCwF9Ff9U/wVVXZJGgSAjR9UlQJERP41o3yOgDpoYdZVC/yDohOKHJW/kFa0GRwWrG4DCyu2j3ESe4MkUyfSaE6PokKBKip3EFRT5Nr2ZdXWHTPhsr6B/Uv8nzzD4GjF56QOtAa5gpkq0+hBDdhwRFQvQ0Ldjio9qibfBabaykX2C/Js9TFKVesXVaeRoVtopDJ7iCIpk+E0J0AxIUCdHTtGCNouoKbfqsxmBpNiiCQx1ovdHO21u899BBPym0FkJ0HxIUCdHTVNVNnzUTFJWWWgCwm2ro5der2dv5uYOiOACSSpMOHZSWfCFENyJBkRA9jaumqIl2fABLeTUAgUG+6HX6Zm/nassPqY0EIKmksaBINoUV4nizcOFC/P39qa2tdb9msVgwGo1MmTKl3rkrV65EURSSk5M7eJStI0GRED1NC6bPaizaD7mIkKYDJxfX9Jl3TQAAB0oPHDroeoa9CqyWNgxWCNFVTZ06FYvFwubNh1az/+OPP4iKimLDhg3U1NS4X1+xYgV9+vShf/+mGze6AgmKhOhpKpufPlNVFbVa+9HQKzzqqLdzBUWKxQRomSJVVbWDZj+t9R9kCk2I48ygQYOIjo5m5cqV7tdWrlzJBRdcQHx8POvXr6/3+tSpUzthlK0jQZEQPc1RWvKtVbUoqvajoU9E8/VEcKimyFrmxIiRCnsFeVV5h05wdbnJFJoQLaaqKnaro8M/3L/QtNDUqVNZsWKF+/sVK1YwZcoUJk+e7H69urqaDRs2dIugyNDZAxBCdLCjtOTX1LXj2/Q19A2OPertfIPMKDoF1aky0DyUv6zbOVBygCjfuiyTbwSUZoBFMkVCtFStzclbd6/q8Ofe/PJkjObm6wgPN3XqVO655x5qa2uprq5m27ZtTJ48GbvdzsKFCwFYt24dVqu1WwRFkikSoidR1aN2n5XVdZ5VGyz09u991FvqdAp+QVqx9UDDEKCpDjRpyxfieDNlyhQqKyvZtGkTf/zxBwkJCYSHhzN58mR3XdHKlSvp168fffr06ezhHpVkioToSWpKwVnXKdJEpiirUJv6spmqCDIHtei2/qFeVBTX0Kuxtnw/CYqEaC2DScfNL0/ulOe2xoABA+jduzcrVqygpKSEyZO1McfExBAbG8vatWtZsWIFp59+ensM1+M6NVO0evVqzjvvPGJiYlAUhW+//dZ9zG6388ADDzBixAh8fX2JiYnh2muvJTs7u9l7PvbYYyiKUu9j8ODB7fxOhOgmXHU95gAwNL7Ja16Rdo7i7URRlBbd1lVsHVqrTZkdKDm8A00WcBSitRRFwWjWd/hHS//OH27q1KmsXLmSlStX1mvFP+200/jll1/YuHFjt5g6g04OiiorKxk1ahSvv/56g2NVVVVs3bqVhx9+mK1bt/L111+zb98+zj///KPed9iwYeTk5Lg/1qxZ0x7DF6L7cXeeNb3FR1FJGQAm35b/ePAP1YIin+pAAFLKUnCqzrpnubb6kJoiIY5HU6dOZc2aNSQmJrozRQCTJ0/mzTffxGazdZugqFOnz2bOnMnMmTMbPRYYGMjvv/9e77XXXnuN8ePHk5GR0ezcpMFgICrq6K3EQvQ4LVijqKKsChMB+Pg3nklqjCtT5KzQYwg2YHVYya3MJcYv5rDpM+k+E+J4NHXqVKqrqxk8eDCRkZHu1ydPnkxFRYW7db876FaF1mVlZSiKQlBQULPnHThwgJiYGPr168dVV11FRkZGs+dbrVbKy8vrfQhxXHIFRU204wNUW2wABAb5tfi2rkyRpdhKH3/tF5a0sjTtoGz1IcRxLS4uDlVV2bNnT73X+/bti6qq7N27t4kru55uExTV1NTwwAMPMHv2bAICApo8b8KECSxatIglS5bwxhtvkJqayqmnnkpFRUWT18yfP5/AwED3R2zs0duQheiWWjB9Zq/U1ikJDQ5q8W1dmaKKohri/OMASC1PrXtWXU2RTJ8JIbq4bhEU2e12LrvsMlRV5Y033mj23JkzZzJr1ixGjhzJ9OnT+fnnnyktLeWLL75o8pp58+ZRVlbm/jh48KCn34IQXcNR2vGdqhOlRptVjw5reortSK6gqNbuJM6sLePfIFNUUwq1tlYPWQghOkqXb8l3BUTp6eksX7682SxRY4KCgkhISCApKanJc8xmM2Zzy+snhOi2jlJTVFBVgNnuC0BMWESLb6s36vAJNFFVZiNGjQMOyxR5B4OiB9WhBWUBMW0evhBCtKcunSlyBUQHDhxg6dKlhIYefXPKI1ksFpKTk7tNkZcQ7eoo02cHKw7ibddqifwCvFt16yPb8t2ZIp3usK0+pC1fCNF1dWpQZLFYSExMJDExEYDU1FQSExPJyMjAbrdz6aWXsnnzZj7++GMcDge5ubnk5uZisx1KwU+bNo3XXnvN/f3999/PqlWrSEtLY+3atVx00UXo9Xpmz57d0W9PiK7naEFRURZ6VUsge/ubWnXrgLpia98arS0/ryqPKntV3fNcdUUSFAkhuq5OnT7bvHlzvbUL5s6dC8B1113HY489xvfffw/A6NGj613n2nAOIDk5mcLCQ62+mZmZzJ49m6KiIsLDwznllFNYv3494eEtr48Q4rh1lOmz3KJCwB/V4MBoavn+R3CoA81ephBsDqbEWkJ6eTpDQodobfl5SKZIiGY4nc7OHkK30J5/Tp0aFE2ZMqXZHXlbsltvWlpave8/++yzYx2WEMcnpwOqirSvm2jJLyopJRhQvB2tvr1/qDbdVlFcQ1x8HCX5JaSVp2lBkbTlC9Ekk8mETqcjOzub8PBwTCZTm1aWPt6pqorNZqOgoACdTofJ1Lpsdkt0+UJrIYSHVJcAdb9o+DRen1dWaiEYMPq2LksER7Tlj4pjW/62RtYqkkyREEfS6XTEx8eTk5Nz1K2sBPj4+NCnTx90Os9XAElQJERP4QpIvENA3/hffUtFDQA+rawngsODomriAuOAw9cqcm31IUGREI0xmUz06dOH2tpaHI7WZ2p7Cr1ej8FgaLdMmgRFQvQUR6knUlUVq6UWAP8An1bf3lVTZKtxkGCKAw7rQPNzbQor02dCNEVRFIxGI0ajsbOH0mN16ZZ8IYQHHaXzrMxahsGqBTbBQf6tvr3RrMfLT/thHu7QlsBIK0/TagNl+kwI0Q1IUCRET3GUoCinMqfNaxS5HGrLD0av6KmurSa/Kl+mz4QQ3YIERUL0FEeZPsupzMGrLijy9m9b+t5VV1RVYifaV8sWHaw4eOiZVYUgbcdCiC5KgiIheooWBEXeta6gqG2trn6hhzrQ+gT0AY4Iipy12h5oQgjRBUlQJERP4Q6KGp8+y63MPZQp8mtbUOSaPisvrCbWPxaoC4oMJvAKqj8OIYToYiQoEqKncNcUNZEpsuTgXbcZbFunzwLDta61w4OijIqM+s+1SAeaEKJrkqBIiJ7iKNNneeUFGFQtQ+TqImutwHCtQLssv5pYv7qgqLwuKJK2fCFEFydBkRA9xVEyRaUlFQDoDFp7fVv4h3mh6BRq7U4i6QVo02daW35Y/XEIIUQXI0GRED1BrRWsZdrXjdQU2R12qivsgJYlautqsXq9zl1X5FMVjIKCxW6hxFoCvnWZIpk+E0J0URIUCdETuLIzOsOhgufD5FfnY67V6ol8/c3H9KjACG0KrarQTqRvJFA3hSYLOAohujgJioToCQ6vJ2okC5Rfle9euNE74Nh2ng6M0Iqty/Kr6eN/WFu+nwRFQoiuTYIiIXqCo6xmrQVFdZ1nbWzHdwmqyxSVFRzRlu+aPpOgSAjRRUlQJERPcJTOs/yqfPcaRV5tbMd3cbXll+ZXuRdwzKjIkJZ8IUSXJ0GRED1BC4Ii92rWbWzHdwk8LFPUu64t/2D54dNn0n0mhOiaJCgSoic42hpFVXl42/2Btm/x4RIQ6oXOoOCwO4mojQGOyBTZK8FWeUzPEEKI9iBBkRA9QQtqig5t8XFsmSKdXkdwlFaf5FUeBECptZRynGDQskgyhSaE6IokKBKiJ2jR9Jlri49jyxQBhMZo96rMtxPmrQViBy2Zh7XlyxSaEKLrkaBIiJ6gmaBIVdX6maJjLLQGCKkLioqyKg+15derK5JMkRCi65GgSIieoJnps3JbOQ6bE6NTW7TxWFvyAUJjtACrOLuy/sawsoCjEKILk6BIiOOdqjabKcqrysOrrvNMZ1AwerVt37PDuTJFJXmVxPrWteUfvqq1RYIiIUTXI0GREMc7awU4rNrXPg0zRfVWs/YztXnfs8P5h3hhNOtx1qpE1R6+qrUs4CiE6LokKBLieOcKQEx+YPJpcFgLilzt+MdeTwSg6BR3tijAomWH6k+fSU2REKLraVNQlJKS4ulxCCHaS4va8V1bfHgmKAIIi9UCLQq9tE/VhVR5BWqvyfSZEKILalNQNGDAAKZOncpHH31ETU2Np8ckhPCkVqxm7eWBImuXyDgtKCrNsBJkDgLgoKtcSabPhBBdUJuCoq1btzJy5Ejmzp1LVFQUt9xyCxs3bvT02IQQntCKfc98PLBGkUtEXIB2/4wKYv3q6opUW92YZPpMCNH1tCkoGj16NC+//DLZ2dm899575OTkcMoppzB8+HAWLFhAQYH8FihEl9GC6TNvD20Ge7jgKF8MZj21Vgf9nIMBOFhr0Q5Wl4DD7rFnCSGEJxxTobXBYODiiy/myy+/5LnnniMpKYn777+f2NhYrr32WnJycjw1TiFEW7Vg3zMvD20GezidTnFPoUWV9wMgo6YQlLofO7KqtRCiizmmoGjz5s3cfvvtREdHs2DBAu6//36Sk5P5/fffyc7O5oILLvDUOIUQbdVMUGR32CmuKT7Uku/B6TOA3oOCAfDJ15590JJ5aFkAqSsSQnQxhrZctGDBAt5//3327dvH2WefzeLFizn77LPR6bQYKz4+nkWLFhEXF+fJsQoh2qKZoKigWjvmbsn3YKYIoNegECAVe6YRQpS6rT4itJoiqSsSQnQxbQqK3njjDf72t78xZ84coqOjGz0nIiKCd99995gGJ4TwgGZqivKrtMDEp7Z9MkURcf5aXVGVg7DKXuTqsrH5xGE6fFxCCNFFtGn67Pfff+eBBx5oEBCpqkpGRgYAJpOJ6667rtn7rF69mvPOO4+YmBgUReHbb79tcL9HHnmE6OhovL29OeOMMzhw4MBRx/f6668TFxeHl5cXEyZMkM440bMdZYsPvdOAwaHte+bl4UyRXq+jz9AQABJKx+FUnWT51K1fZMnz6LOEEOJYtSko6t+/P4WFDX/LKy4uJj4+vsX3qaysZNSoUbz++uuNHv/3v//NK6+8wsKFC9mwYQO+vr5Mnz692bWRPv/8c+bOncujjz7K1q1bGTVqFNOnTyc/X1L1ogdyOqCqSPu6kaDo8HZ8nU7B7NOm5HGz+o/VnjugeAyocNDsrR2wyN9JIUTX0qagSFXVRl+3WCx4eXm1+D4zZ87kqaee4qKLLmr0GS+99BIPPfQQF1xwASNHjmTx4sVkZ2c3yCgdbsGCBdx0001cf/31DB06lIULF+Lj48N7773X4nEJcdyoKgZUQAHvkAaHC6oK6rXje2LfsyPFDQ9Db9DhUxlMhKUvBw11P3Yqcj3+LCGEOBat+rVw7ty5ACiKwiOPPIKPz6F9lBwOBxs2bGD06NEeGVhqaiq5ubmcccYZ7tcCAwOZMGEC69at44orrmhwjc1mY8uWLcybN8/9mk6n44wzzmDdunUeGZcQ3Ypr6swnBPQN/7rXb8f3bD2Ri8nbwMATI9i7LpcROZPJ6LdXOyDTZ0KILqZVQdG2bdsALYuzc+dOTKZDP0RNJhOjRo3i/vvv98jAcnO13yIjIyPrvR4ZGek+dqTCwkIcDkej1+zdu7fJZ1mtVqxWq/v78vLytg5biK6lJVt8uNvxPVtPdLiRp8eyd10u/YvGkFqcpr0omSIhRBfTqqBoxYoVAFx//fW8/PLLBAQEtMugOtr8+fN5/PHHO3sYQnieq26nmaAoyK4trOjpdvzDhcf6EzxMT8luiEg8lRqfb/CSmiIhRBfTppqi999/v90DoqioKADy8uqn2PPy8tzHjhQWFoZer2/VNQDz5s2jrKzM/XHw4MFjHL0QXYRrisovssEhVVXrFVp7ebgd/0gnXRJPtaECf0sEnxW+xB8Fl7Dp+/1s/S2dnSszKcmtbNfnCyHE0bQ4U3TxxRezaNEiAgICuPjii5s99+uvvz7mgcXHxxMVFcWyZcvcdUrl5eVs2LCB2267rdFrTCYT48aNY9myZVx44YUAOJ1Oli1bxp133tnks8xmM2az+ZjHLESX00xQVG4rp8ZRg3c7bPHRmL5Rvfhl+K2c+dffwBbGjqrz4OfMQycoMG5GXyac369dCr6FEOJoWhwUBQYGun9QBQYGeuThFouFpKQk9/epqakkJiYSEhJCnz59uOeee3jqqacYOHAg8fHxPPzww8TExLgDHoBp06Zx0UUXuYOeuXPnct1113HCCScwfvx4XnrpJSorK7n++us9MmYhuhXXFJVfRINDroUb/R1BgOcXbjySXqfHN8rAZ6ZneDprNEElftgSLsXhFYaluIas/aVs+SUdnV7H+HNbvrSHEEJ4SouDovfff7/Rr4/F5s2bmTp1qvt7V3fbddddx6JFi/jnP/9JZWUlN998M6WlpZxyyiksWbKkXtt/cnJyvTWTLr/8cgoKCnjkkUfIzc1l9OjRLFmypEHxtRA9gitT5N9w+tgVFPm5g6L2zRQBxPrHklqWSmWvfZzj2AWnTYOhpwGwa1Umqz7dz+afUukzLISoeM/88iWEEC3VppXaqqurUVXV3ZKfnp7ON998w9ChQznrrLNafJ8pU6Y0ueYRaK3/TzzxBE888UST56SlpTV47c4772x2ukyIHqMFmSJ391k7teQfro9/HwAyTXXT1RWH6v+GT+5NdlIZBzblsfZ/SVx031iZRhNCdKg2FVpfcMEFLF68GIDS0lLGjx/PCy+8wAUXXMAbb7zh0QEKIY5BMzVFrqDIaNNWmPYJaP+gqLd/bwAy9HXBjqV+W/6ki/ujN+jISSojc19Ju49HCCEO16agaOvWrZx66qkAfPXVV0RFRZGens7ixYt55ZVXPDpAIUQbOexQVTe13EhQVFBdgN5hRGfXEsYdMX3myhQdxK69UFG/U9Qv2IuhJ2t7Ku5ckYkQQnSkNgVFVVVV+Ptrmzr+9ttvXHzxxeh0Ok466STS09M9OkAhRBu5Fm5U9I1u8ZFXlefuPNMZFEzent/37Eh9AuqColoLKjS6qvXwyVo2KW1HIZaSpvc5FEIIT2tTUDRgwAC+/fZbDh48yK+//uquI8rPzz9uFnQUottzT51FgK7hX3Vt3zPtlxsff1OH1O/E+MagU3RUO+0U6XUNps8AQmJ8iR4QiKrCgc2ywKMQouO0KSh65JFHuP/++4mLi2PChAlMnDgR0LJGY8aM8egAhRBt5C6ybrzz8vDNYNu7Hd/FqDcS7atNj2UYjA2mz1wGnqCNOWmLBEVCiI7TpqDo0ksvJSMjg82bN7NkyRL369OmTePFF1/02OCEEMegmSJrh9NBYU2hO1PUEfVELrH+sQBkGA3aFJ+jtsE5/cdGoCiQn1ZOeWF1h41NCNGztSkoAm0bjjFjxqA7LC0/fvx4Bg8e7JGBCSGO0eHTZ0corinGqTrxsWvT3T4dlCmCw4qtjUZAPVQMfhifABMxCcEAJG2VbJEQomO0qbKysrKSZ599lmXLlpGfn4/T6ax3PCUlxSODE0Icg2amz1zt+CGqtlFsR02fwaFM0UEvX6AUKnIbXVxywNhwsvaVkLajkLFn9e2w8Qkheq42BUU33ngjq1at4pprriE6OloWWBOiK2rBGkWBTq0rrUODooC6oMhU98xGOtAA+gwPBSA3pZyaSjtevh03xSeE6JnaFBT98ssv/PTTT5x88smeHo8QwlMqmp4+K6jW2vV9a7XpM++ATqgp0tWtZl/RsAMNICDUm+BoX0pyKjm4p9hdfC2EEO2lTTVFwcHBhIQ0XPdECNGFtCBTZLZp3WcdWVPU209bh6gcJ2U63aFpvkb0Hab9nMnYXdQhYxNC9GxtCoqefPJJHnnkEaqqqjw9HiGEp7iCDf+mgyKDVduDrCOnz3yMPoR7a7VMBw0GqMhp8lzXFFrG7mJUZ9P7JAohhCe0afrshRdeIDk5mcjISOLi4jAa66fet27d6pHBCSHayGoBe6X2tW8jm8FW54OqQLUe6NigCLQptILqAg4aDQxvJiiK6R+E0aynqtxGYaaF8D7+HThKIURP06ag6MILL/TwMIQQHuWaOjP5gdmvweGCqgK8an20wIiOXacItO0+tuZv1dYqKs9u8jy9UUfvwcGkbi8kfVeRBEVCiHbVpqDo0Ucf9fQ4hBCe5G7Hb5glgvqrWZt9DOgNbV6yrE3cbfmG5oMigD5DQ0jdXsjBPcWccHZcB4xOCNFTtfknYWlpKe+88w7z5s2juLgY0KbNsrKyPDY4IUQbNVNkbXPYKLGWHLaadcdOncHhCzgaoDIfam1Nnhs7tK41P7kMW3XD1a+FEMJT2hQU7dixg4SEBJ577jmef/55SktLAfj666+ZN2+eJ8cnhGiLZlazdrXj+zmCAG316I52aKuPumm7RjaGdQkM9yYw3BunUyVzX0lHDE8I0UO1KSiaO3cuc+bM4cCBA3h5eblfP/vss1m9erXHBieEaCPXlJR/dINDBVVaUBSOdqyj64kAevtrbfmFej1VitKiKTSAg38Vt/vYhBA9V5uCok2bNnHLLbc0eL1Xr17k5jb9G58QooO4OroaCYpc7fjBahjQOdNngeZAAs2BgKuuqPlp99hhda35f8l6RUKI9tOmoMhsNlNeXt7g9f379xMeHn7MgxJCHCNX5iWgV4NDrukzf4e24WpnBEVwqK4o02iA8qbb8gF6JQSh0yuUF9ZQmi/rowkh2kebgqLzzz+fJ554ArvdDoCiKGRkZPDAAw9wySWXeHSAQog2cGWKAprOFPnUFVp3Rk0RHJpCO1pbPoDJy0B0/7rMkkyhCSHaSZuCohdeeAGLxUJ4eDjV1dVMnjyZAQMG4O/vz9NPP+3pMQohWkNVD2Vempk+M9t8gM6pKYLDOtAMBqhoPigCiK2rK8qQoEgI0U7atE5RYGAgv//+O3/++Sfbt2/HYrEwduxYzjjjDE+PTwjRWjVlh1azDohpcNhVaK2rMeGk86bP6nWgHSVTBNBnaCjrv00ha18Jjlpnh6+tJIQ4/rU6KHI6nSxatIivv/6atLQ0FEUhPj6eqKgoVFVFUZT2GKcQoqVcU2deQWD0bnA4v1rLFDmrtKCiIzeDPVyfgLqaohYs4AgQ1tsPb38j1RV2cpPL6DUouL2HKIToYVr1q5aqqpx//vnceOONZGVlMWLECIYNG0Z6ejpz5szhoosuaq9xCiFayl1k3TBLBFqmSO8w4qxbL9G7k2qKXJmiHIMeW0UOOJ3Nnq/oFJlCE0K0q1YFRYsWLWL16tUsW7aMbdu28emnn/LZZ5+xfft2li5dyvLly1m8eHF7jVUI0RLNtONX2auw2C3uImu9QYfJS9+Ro3ML9QrFz+iHU1HI0CtQWXDUa/oMqVuvaI8ERUIIz2tVUPTpp5/yf//3f0ydOrXBsdNPP50HH3yQjz/+2GODE0K0QfnRO89CnNpK1z6Bpk6b8lYUhfjAeADSjEdfqwgObflRkFFBVXnTW4MIIURbtCoo2rFjBzNmzGjy+MyZM9m+ffsxD0oIcQxcnVz+jRRZ161RFIXWDu8b2DlTZy5xAXEApBqNhzJczfAJMBEWq21kK9kiIYSntSooKi4uJjKy4QaTLpGRkZSUyN5EQnSqFmSKQlXt77FPoLnDhtWYuMA4wJUpOnqxNUCfutWt03YUttewhBA9VKuCIofDgcHQdMOaXq+ntlZ2sRaiUzWXKaprxw90aIGFbycVWbu4ps9SW9iWD9BvlLZqfvquImrtjnYbmxCi52lVS76qqsyZMwezufHfLq1Wq0cGJYQ4Bu7us0YyRXXt+L72IKALZIrqps/SjEbUsixaUt0U0dcf3yAzlaVWMveWEDcirF3HKIToOVoVFF133XVHPefaa69t82CEEMeo1naoi6uRTJF7NWurLw60Quu2sDucFFRYcaoqYX5mvIxt62DrE9AHHQoVeh1F5Rm0JLxRdAr9RoWxc1UWKYkFEhQJITymVUHR+++/317jEEJ4giVX+6wzgk9og8Ou6TN9tQkH4NuKTFF+eQ1fbsnk97/y2JlVhsOpAqAo0C/Ml2lDIrlqQh/6hvq2+J5mvZkYrzAyawpIrcxqUVAEED8mnJ2rskjdXojzKhWdThaNFUIcuzZt8yGE6KLKMrXPgb1A17Bk0JUpUiv1gNqiTFFplY0Fv+/ns00HsdUeWmDRqFdQFAVbrZPkgkqSC1J4+48UzhsZw7/OGUJkgFeLhhwXGEdmTQFptlJOdNSC/ug/lmIGBmH2NVBjsZOTVEqvBFndWghx7Lr85kFxcXEoitLg44477mj0/EWLFjU418urZT+chej2Sg9qnwNjGxxSVZWC6gIUVYe9SsvyHC1T9OvuXM5YsJrF69Kx1ToZ1zeY+RePYM0DU9n35Ez2PTmDzQ+dwX+vGsuUQeGoKny/PZszXljFV1syWzTk+JBBAKQZdC1qywfQ63XE102bJa1Nx5aWhj03F2dlJaqqtugeQghxpC6fKdq0aRMOx6EOk127dnHmmWcya9asJq8JCAhg37597u9lPzbRY5RlaJ+D+jQ4VG4rx+qw4msLBFWrzfH2MzZ6G4dT5YXf9vHflckADIjw44kLhjGxX2iDv09hfmbOHhHN2SOi2ZVVxr++3cX2g6Xc/+V2th8s5eFzh2JqZvPWuMM70EozIKhhQAfgsFRStWkjVRs3UZ2YiLnYC+KvZv+qFMKffQgFLRjSBwVhTkjAe+QIfE87DZ8xY1CMjb9PIYQ4XJcPisLDw+t9/+yzz9K/f38mT57c5DWKohAVFdXeQxOi62kmU+SaOotAK8D28TeiNFKLU21zcMcnW1m+Vzv/plPjuX/6IMyGoxdTD+8VyNe3TeL1FUm8uHQ/H65PJ6u0mv9eNbbJYux6q1qXHax3TLXbqVi5kvIff8KyYgWq7dAq1sGKAUPvi7CZgyiLGklQ4W6orcVRWkrVxo1UbdxI0Tvvog8OJvCiiwi+/DJMffse9T0IIXquLh8UHc5ms/HRRx8xd+7cZrM/FouFvn374nQ6GTt2LM888wzDhg1r8nyr1VpvOYHy8nKPjluIDuMKKhrJtriKrCPpBTTejl9preVvizaxIbUYs0HHvy8dyQWje7VqCHqdwt+nDWRodAB3fqoFVzd8sIm3rz0BH1PDHzmuoCjLYMBWkooJLStU+tWXFC9eTG32oSk1Y58++E6YgM+JJ2AeOJD8DQ7+Wp9P1d8e5aRrBuOsrMKWnoZ17z4qN6yn8o81OEpKKH7vPYoXLSLwvPMIu/MOTLGNZ6OEED1btwqKvv32W0pLS5kzZ06T5wwaNIj33nuPkSNHUlZWxvPPP8+kSZPYvXs3vXv3bvSa+fPn8/jjj7fTqIXoQM1kivKq8gAIU7Us6pFbfJTX2Ln+/U1sSS/Bz2xg0fUnckJcSJuHcsbQSBZdP54bFm3iz6Qibl68hffmnNhgKi3UKxQ/xYgFO+l5ewl5910K33wLZ90vJ/qQEAIvvJDA887FPHhwvV+IBhlL+Wt9Pslb85l8RQIGP1+8hw3De9gwgi65GLW2Fsvq1ZR89hmVq/+g7LvvKPv5Z0JvvIGwW29F18Saa0KInklRu1FV4vTp0zGZTPzwww8tvsZutzNkyBBmz57Nk08+2eg5jWWKYmNjKSsrIyAg4JjHLXo2S4mVlR/vpSjLQsL4KCZc0K99WshVFZ6Ohtpq+Ps2COlX7/DC7Qt5PfF1rq66F7/tcQw9JYapVw8GoMbu4Jp3N7AprYQALwOLb5jA6Nggjwxra0YJV7+zgSqbg/NHxfDS5aMbvP8rvziLwE1Z3L5KwVCu1RCa4uMJuX4Ogeefj66JZgnVqfLhw+uoKKrhrBuHMfCEprchqt65i4KXXqLyzz+1+8fFEfPv5/AeOdIj71MI0fnKy8sJDAxs87/fXb77zCU9PZ2lS5dy4403tuo6o9HImDFjSEpKavIcs9lMQEBAvQ8hPMHpcPLTf7eTvqsIS4mVrb+ms+G7lPZ5WGWhFhChQEDDrKgrU+RnDwQOLdxY63By5yfb2JRWgr+XgU9uOsljARHA2D7BvHH1OAw6he+3Z/Pskr31jtvS0rjxw3L+/oMTQ7kDQ1QU0fPn0+/HHwi+7LImAyLQisUTxmuB0J4/m98mxHvEcGLfeZteL7+MITwcW1oaaVddTfHixdKxJoQAulFQ9P777xMREcE555zTquscDgc7d+4kOrrhlgdCtLe963MpPGjB7Gtg/Hla7Uzi7xmUFVR5/mGuzjP/KDA0XH8or1ILisxWbXFF30Azqqryr292sXRPHiaDjneuPYHhvQI9PrTJCeH8Z5aWkXlrdQpfb81Era2lcOFCUs6/gOgDZdgMsHWig/4//0TQRRei6Fu2SvbQk2NAgYN7SijNb/7PVVEUAqafRb+ffsT/rLPAbifvmflk//MBnIcVcQsheqZuERQ5nU7ef/99rrvuugYb0l577bXMmzfP/f0TTzzBb7/9RkpKClu3buXqq68mPT291RkmITxh9+osAMae1ZcTz4mnz9AQnE6VTT+lef5hzdQTwaFMka5aq6PxCTDx4u/7+XzzQXQKvDp7DBP6NVwF21MuGtObO6cOAOClxcv569IrKHjpZVSbDevYwdx3o55vJiroastadd+AMG/6DNXG/dcfLdtUVh8QQK+XXyLy4YfAYKD8hx84+LcbcJSWturZQojjS7cIipYuXUpGRgZ/+9vfGhzLyMggJ+dQd0pJSQk33XQTQ4YM4eyzz6a8vJy1a9cydOjQjhyyEBRmWshPr0CnVxg8UctUnliXLUranE9Npd2zD2ym8wwgt1LbAsRZqf21X59dyivLtWnlpy8awfRh7b+Mxb1nDORu6x5e+v0FdHt3o/j5EfPcs4QufIW8YIUUk5Ha4tRW33f4ZK1Dbs/aHGrtjqOcrVEUhZCrrqLPW2+i8/OjavNm0q68Cnt+fqufL4Q4PnSLoOiss85CVVUSEhIaHFu5ciWLFi1yf//iiy+Snp6O1WolNzeXn376iTFjxnTgaIXQpG7XWuD7Dg/FJ0CbzoqMCyC0lx+OWif7N+Z69oHNZIqq7FWU28pRVAVbhRY0PLf6AAB3TO3P7PENF3v0NEdFBTn33suMX97F22FjR2g/nr/sEXzOPY9e/r3wVhXsikJG/vZW37vv8FD8gs3UVNpJ2ty6oMZ30iT6fvIxhqgobCkpZFx7Hfa8vFaPQQjR/XWLoEiI7ihjdzGg/YPtoigKQyZpWaOkLR7OSDSTKXIt3BjijEB1ghOVclXl3JHR3HfmIM+OoxE1+/aReumlVPz2GxiN6G+9i6dPv5OlxTqe+XkPOkXHAIMfAEmFu1t9f51OYcQUrbh866/pqM7WFU57JSTQ96MPMcbEYEtLI/3aayUwEqIHkqBIiHZQU2knL1WrjekzrH6dTr8x2irtOcllVJV7sLjXnSlqmPVx1RPFoE3fWRSVsXHBPD9rVLvvMF/6zbekXX4F9vQMjDExxH3yMQn33M4Ls8cC8P6faXyXmMUAb62LLKmsbd15w0/rhcnbQEluFak7Clt9val3b/osXoyxVy/s6RkcvPEmHLKQqxA9igRFQrSDnOQyVBWCIn3wD6nfUu4f4kV4H39QIW1n6//xbpSqQkma9nVwXIPDrqDIVqwtxmgz6XjrmnFNbr3hCU6rlZxHHiVn3jzUmhp8Tz2VuP99hfeIEQCcOTTSXXj9wP92EG7SgrmkmoI2Pc/kbXDXFm38MRVnK7NFAKbevejzwQcYwsOxHjhA5u134DxsDTMhxPFNgiIh2kF+mpZhiOrfeHt7v9HaDu+piW0LABqoLARbBaBAcMP9vXItWv2SviIYgOEDQgj1a7/VnG2ZWaRfeRWlX3wBikLYXXcS++ZCDMHB9c6798wETksIp8buZPUB7c/qgLPtyxWMPiMWk7eBokwL+9a3rWbL1LsXsW+/5S6+zr7/H6iOlhVvCyG6NwmKhGgHeXVBUWRc4wuBxo/SptAO7imh1uaBf3CL66acAmPB0DDY+WXvPgD8bFpQEhnle+zPbIJl9WpSL7mEmt270QcFEfvWW4TfcQeKruGPG71O4eXLR9M72Js9RdrUXoZewVrZtmDR28/EuJlaULjhu2SsVW3r8LOF9aXyrhfJiDuLjI2p5L/0SpvuI4ToXiQoEsLDVFV1Z4qaCopCYnzxDTThqHWSk9K6dXka5QqKQuIbHHpjZTJ7C7R6o8G+Wtu9X7Dns0Sq00nB669z8JZbcZaV4TVyJPFf/w+/U09p9rpgXxMLrx6HXYkkwOHEqSikHPyzzeMYNTWWwHBvKstsrP5sf6uuram0s/zDPXz48DrWrbORFHcB28bcy/INRgq/+7nNYxJCdA8SFAnhYWX51ViratEbdIT0ajwjoygKvYdo9T2Ze0qO/aHuoKj+fmefbszguSV7UYxa4BWm+APgF9z01hlt4SgvJ/P2Oyh89TVQVYKuuNzdzdUSw3sF8tSFI4i2aTVOK/e2PSjSG3Wccf1QFJ3C/o157FqV2aLrkrfl8+njG9jzZw6oEDMwiP5jw9EpTopDhvLLF7lU7mx9Z5wQovuQoEgID3NNnYX38UOvb/qvWO/B2lRW5t7iY39oI0HRD9uz+dc3OwHw8bYA4LRoQYcnM0U1+/aTOmsWlpUrUUwmop95hujHHkNnarjVSHNmnRBLb532Z/Jn+g7SiyrbPKaofoGMP1fLmq36bD9/rWl6pevyomp++u8Olry5i6pyG8FRPlx8/1guum8sM24ewaUPnIhRtVLuH8fKJ7+RVa+FOI5JUCSEh+Wna0FRRN/mNxbuPUjLFOVnVBz76tZHBEX/25LJ3Z9tw6nCZSdGYlXLQVWwlTsB8A3yTFBU9uNPpF1xqN2+7yefEHTxRW2+34QorRut0ljCrR9tpfoY6q3GzeyrrV2kwoqP9vLLwp1k7SuhptJOtcXGwb3FrPh4L588uoG0HYXo9ArjZvblsn+dSPSAIPd9wuMCOf06bUX89OAJ7Jv3rGwgK8RxynD0U4QQrVGUpWU4wmL9mz3PL9hMcJQPJblVZO0vof+YiLY/9LCg6JMNGfzr252oKlxxYiy3nhHEL99CkDMUp0NFUcAnsHVZnCOpdjv5zz9P8QeLAW1V6JgXnm/QXdZawyJHQslG8r2qycoo4/++2cmCy0ahKK1fS0lRFE69bCDe/kY2/ZhKSmIBKU10+8UMDGLy7EGExDQ+3TlgUl/2/JFJRqqVnQWRRC1eTMh117V6TEKIrk0yRUJ4WHG2NlXV1D+wh/NIXVFVMdSUAvDKVjv/940WEF07sS/PXDSCgmptjaJYnTad5BNganZa72jseXmkX3+9OyAKvflmYt9+65gDIoCEmJPQqyrlejAYLXyzLYt317R+LzQXRadw4jnxXP7weAZPiq4XDCq+DnJ67WXV2MUsG/Ue6Ybmi7JPuW40oFIYNoqU1z+keufONo9LCNE1SaZICA+qrrBRXaFNhYVEtyAoGhTMzhWZZO47hqCoUPvHvNgQwYK6ouLbpvTnn9MHoSiKe+HGKFXb/sP3GIqsLatXk/3AgzhKStD5+hL97HwCzjyz7WM/glf4YOLtdpJMJq6cWMPi1f489dMewvzMXDimV5vvGxrjx7RrhwBQWV3Ffavv48/cNe7je7JgddZq7h13L9cPv77RewRH+RI/KpzU7YUcjDqNoHvnEv/N1+j9m88ICiG6D8kUCeFBxdna1FlAmBdG89FXi44ZGARAaV5Vm7f8yElKBGCnNQqDTuHfl4zkgRmD3VNOuZXaIoahDm0bjbYUWbumyw7efAuOkhLMQ4YQ99WXHg2IAPAKZKhD+3OL9ktmzqQ4AO77cjtL//LMXmRPbX6SP3PX4G3wZt74eXw480PO738+KioLtizg4z0fN3nt6DO1Vbdzo06iKreEvGfme2RMQoiuQYIiITyoqC4oConxa9H5Xr5GQuva9nOSS1v1LFutk/+uTOLXlSsByDL24aMbJ3DZifU3hM2x5AAQYNf2YPNrZZG1PSuL9KuvoeiddwEIvuoq4j77FHN8wzWRPGGIl7ba956i3Txy7lAuHtMLh1Pl9k+2snzvsQVGv6X9xo8pP6JTdLx6+qtcOeRKRkeM5ulTnuaO0XcA8J9N/2FT7qZGr4/uH0hYrB9OnYHcyBMp++YbKpYuPaYxCSG6DgmKhPCg4hxXUNTyFaNj6jqdsg+UtviatcmFnPPKH/x7yT76qdqU2flnnM5J/UIbnJtdqbWj+1i1bjjfFmaKVFWl7LvvSLnwIqq3b0fn70+vV14m6uGH0Jnbb4uQIUEDAfjLkolOp/DcpSM5a2gktlonNy/ewneJWW26b6W9kqc3PA3ADcNvYEL0hHrHbxl5C+f0OweH6uBfa/5Fpb3hkgCKojBkUjQABcPPASDnkUepLSpq05iEEF2LBEVCeJC7yLoF9UQu0XVTaC0JirakF3PVO+u58u0NHMi3EOpr4gRfraPKr/fwRq9xTZ/pq7RaIv8W1BTVFhWR9fe/k/3AgzgrKvAeNYr4b74m4KyzWvCOjs3gqHEA5DmrKaouwqjX8fpVY7loTC9qnSr3fJ7IS0v3t3rD14/++ojimmL6BvTltlG3NTiuKAqPnPQIvfx6kVOZw4LNCxq9T8KJUegMCqVWH6xDJ+EoLibnkUelTV+I44AERUJ4iKqq7pqitmSKCjMtWKtrGxy31jr4dlsWF//3Ty55Yx1/JhVh1CtcO7Evy+8ch09N3can4QmNjinbomWKHGXaX3f/sOaDovLffyflvPOp+H0pGI2E33MPfT/+CFPv3i1+T8fCN2oUcTatWH1P8R4AjHodL8waxd9OjkdV4aWlB/jbB5sotLRsB/tyWzkf7P4AgNtH3Y5Rb2z0PB+jD09MegKAL/d/yV9FfzU4x8vPSPxIbYqv9KybwWjEsmwZZd9826r3KYToeiQoEsJDairtWKu0oCYo0qfF1/kGmQkM9wYVcpJK3a9nl1bz/K/7OPnZ5dzzeSJbM0ox6BSuODGWFfdP4YkLhhNYWdeu7hcF3g1b4stt5VTVVqFz6rGWawshBoR6NzoOe24umXfdRdZdf8dRXIw5IYH4L78g7NZbUAwd2KgaPpghNq3ofFfeNvfLOp3CI+cN5flZozAbdKzcV8C0F1bx2caMo2aNfkj+gQp7Bf0D+zMjfkaz546PHs/MuJmoqDy/+flGM0CDJ2pTaMlJNkLvvAuAvPnzseflt+qtCiG6FgmKhPCQsvxqQOvuMpqO3nl2uJjDptDWJhdy64dbOOW55by2IolCi42oAC/mnpnA2nmn8+wlI+kdXBd0FWiZlMayRIA7S9RLiUNVtX3BvP3rZ0nU2lqKFi0i5exztOyQwUDozTcT99WXeA0e3Kr34RG+oYxWtTEmZq9rcPjScb355vaTGRIdQFm1nQe/3snZr/zBd4lZWGsbroCtqipf7f8KgMsHX45OOfqPvXvG3YNZb2ZT7iaWH1ze4HifoSF4B5iosdipHH8+XiNG4KyoIPfJJ2QaTYhuTIIiITykNL8KgMCIxjMxzYkaEAjAstUZXPn2BpbszsWpwkn9QnjjqrH88cBU/j5tIBH+R0x95Wyvu8HIRu/rKrLuQ38AAkK96q0OXbVpE6mzLiP/2edwVlXhPXYs8f/7HxFz72313mWeNNpPa33fUbIfp+pscHxoTAA/3HkyD50zBD+zgb25Fdz9WSInPrWUuV8k8sXmgyTlV1Bjd7CjcAdJpUl46b04p985LXp+jF8M1w69FoAFmxdgd9TfhkWn15FwgrbEwf4tBUQ/9RQYDFiWLqPi19+O5a0LITqRLN4ohIe4MkVBES2fOlNVlZ935rJw9T5mAIE1KgH+es4f14trJ8aREHmUhQFdQVH0qMYP17XjRzq0eiD/UC2osqakkv/CC1iWLQNAHxhIxD/uJ/Dii1F0nf+7UkLEaLzzfqYCK8mlyQwMHtjgHINex42n9mPWuFgWrU3j040Z5JbX8PXWLL7eeqhDLSD2a/ADtXIk57+8BWutE2utkxq7A1tt/YDL12wgzM9E72AfBkadir/hKzIqMvhi/xdcNeSq+mOcEMn25QdJ3V7I1KtOIezmmyn873/JffJJfE+agD4oqF3+bIQQ7UeCIiE8pDTPlSlqWVCUUVTFv77dyR8HCkGFU3Re+DkVvrpsHAkjwo9+A6cDcuu2moge3egprkxRsF3bV83PF3KfeIKSz78AhwP0eoIum0X4XXdhCAlp0bg7giFmDCMzvmWDtxeJBYmNBkUugT5G7j5jIHeePoANKUX8kVTIhpQi9uVWUFlbidNnGwpQkjuWwuqqZp9bVm2nrNpOckElq/aDMWgKXtHf8PzG1whnEmcOjnNn2sL7+Lv3rkvels+gW2+h/LdfsSUlk/fsc8Q8Kws7CtHdSFAkhIe4ps+CWjB99tWWTB76dic1dicmg45bJ/dncJqV1C0FlKZboCVBUeEBsFeB0RdC+zd6iitT5FfmixWwfrWYkpRftNdOP52I++/D3K9fy95gR4oayagaqxYU5W1jVsKso16i1ylMGhDGpAFaZ5iqqnyw6zNe2Gonxqcvj199OQa9DrNBj9mow2zQYdTr0NUFOSoqFTW1FFZYSSmsZHd2GWuSzBRZ14C5gDt/fpH+v83iX2cP4ZSBYSiKQsKEKDZ8l8K+DXkMmRRDzFNPkTb7Ssq+/ZaAc87B79RTmhxvtiWbFQdXYHPYmBgzkcEhnVC/JYSoR4IiITxAVVX39FlzmSJrrYPHf/iLTzZkAFrN0PyLRxIf5suu1Vmkbilo+SKOOYna5+iRoGu8sNuSncH1vznwchZgDQzAqyIP71GjCL9vLr7jx7f07XW88EGMtmtTW4l5m9t0C0VR+CX9WwCuHDqLk/qHHfWa6EBIiPSvF1h9uMPKfxIfxBSyhr3JJ3H1u+WcPSKKpy4cQcKJkWz4LoWs/SVYSmrwGz2akGuvofiDxeQ++ij9fvwBnU/9/x+cqpM3tr/B2zvexqHWFYZvgauHXM0/TvxHiwrBhRDtQ/72CeEBVeU27FYHigKBYYdlinJ2wKdXwvw+qM/Fs23BxWzauBZFgXvPSOCTG08iPkxb08i1XlFeShmO2obFxQ00U09UvXs32Q88yN+f+YuZW1RqzNrUWN/7bqXvZ5927YAIQG9kVEA8iqqSUZlDYXVhq2+xp2gPfxX9hVFn5Pz+57dpGIqicM3IsxkTMQZFZ2f48PUYdAo/78zlrBdXs7usSuscVGH/Rm0LkvC778YYE4M9O5vCN96odz+n6uTRtY+ycPtCHKqDcZHjOLXXqQB8tOcjXtryUpvGKYTwDAmKhPAAdzt+iBd6Y91fq13/g3emwb6fwFqGUl3MSVUr+dH0L346LYu7zxiITneoEyw42gcvPyO1dicFGRVHf+jBjdrnmDEAqA4H5b//TvrV15B2yaWUffcdBgfsjtVj9QoCIPL0CfW6z7qygOjRDK5bxHF9zvpWX/+/A/8DYFqfaQR7NVzDqaUURWHuuLkAZNhW8ep10QyM8KPQYuWadzdQGq4tH7B/o7aIps7Hh8iHHwKg6P1F1Ozf777X85uf59ukb9EpOp48+UkWzVjEf8/4L8+c8gwA7+9+v8l914QQ7U+CIiE8oEE9Ueof8L+bwGHDkTCTB8Ne5SLr46xmDGbFztAN/4TET+rdQ1EUd7Yoa39J8w+0WtzTZ46wURR/8AHJ02eQddffqdq8GQwGdNOnMO86PQuv6AMoja5R1KVFj+Kk6hoA1jWyXlFzquxV/JTyEwCXJFxyzEMZHTGaM/ueiVN18mPmO/xw1ymcPyqGWqfKs7syUHVQlFVJYaa2zYv/1Kn4n3kG1NaS+9jjqE4nP6X8xId/fQjAM6c8w4UDLnTf/7z+57nrpp7Z8EyjyxAIIdqfBEVCeECZOyjygZoy+PY2UB2owy/lXv7BZ5mhHDANIeTGb+HEGwEVvr8L0uv/Y+9axDEnqaz5B2ZuxFaukrurF0nnX0Pe/GexZ2aiDwwk9JZbGLBsKXn/mE1yjEK8onVuHblGUZfXezyTqrUM3Lrsda1aFPG39N+w2C309uvN+CjPTBX+fczfMSgGVmeuZmvBBl6+YjT3n5WAVQf79Vpt0L71Oe7zI//1L3Q+PlRv3cq+xf/lsbWPAXDTiJsaXS/pnnH34G/0J6k0id/SZK0jITqDBEVCeEDp4UXWSx+HsoMQHMervnfy/Y5cDDqFhVePY3jvIDj7eRh+CThr4cvrwFLgvo87KEoua3TrClVVqdywkYPz5pP8YwQlu1SclZWY+vcn6vHHGbByBRH33oMxMpKDFQcBiFb7AofWKOo2IoYyxmnE7HRSUF1Acmlyiy/9335t6uyShEs8VrgcFxjH5YMvB+CJdU9QXVvNnacP5IkLhvGXUdveZeuaLPd/N2NUFGF/17YAsbz8BsaKak6OOZk7Rt/R6P0DTAFcM+waAHdGSQjRsSQoEsIDXJmiQJ8y2KptPJo45ikWrNLWCXrukpGcMrCu+0lR4PxXIXwIWPLg5/vc9wnt7YfRS4+tupaiLIv7dafNRuk335J68SVkXHcdlh2ZgILvyHhi336bfj/+QPDll6HzPlTk7QqKQm1RAPg3sedZl6U3YO59AifUaJu+rspc1aLLkkqSSCxIRK/ouaD/BR4d0l1j7iLaN5osSxavbnsVgGsnxjHn0iFUKyq6Gifv/m+P+/ygq66koLcfvtVObl3txXOnPYe+iU5BgMsSLsOgM7CjcAf7ivd5dOxCiKOToEiIY6Q6D7XjByW9D85arHGn87dVWmbmmpP6csm4I3aYN/nCxW+Cooe/voPd3wDapqfR/bUtP7IPlOKwWCh88y2Spp5Ozrx5WPfsQfEyEzSgmn4z8+nzxqv4nXpKo9NirqDIt0orMg4M72ZBEUDsBE6v0v5sl6YvbdEln+/7HIDJvScT7tOC9Z5awdfoy2MTHwO0brHlGdq+aFdPisO7v7b6+NY/MvllpzaN9t9db7JgWjVO4MRtlRi27W32/qHeoZweezoAX+7/0qNjF0IcnQRFQhyjyjIrtXYnig78k7Us0ROWiyiutDEsJoB/nTOk8QujR8GpdVmin+5zT6O5ptDSftlM0unTKHjxRRxFRRgiIwm/by4DF/6T6BNKMMf3hZCmF150BUW6Ci04a8mikl1O7HhOr6xCp8Kuol3uDW6bYrFZ+D75ewCuGHxFuwxpUq9JXDn4SgD+b83/sbtoNwAXXajVbiXY9Pzj80Re3PAeb+14i+QYhfJzJgKQ+/jjOG22Zu8/a5BWcP1zys8N9lwTQrQvCYqEOEaueqIAn2r02MkNOZGPM0PxNup57cqxeBmbni7htH9A5HCoKoJf/omjogLvrVqRbV6RDkd5OaZ+/Yh57lkGLP2dsJtuQp9dN400aKY2FdcIp+okqyILVLDVNbK1dPuRLqX3eMJUhXE1Whfa7+m/N3v6Dyk/UFVbRVxAHCdFn9Ruw7r/xPs5MepEKu2V3PjrjfyZ9SfR/YPwD/XChEKcIZH39r4IwG2jbmP8oy+hDw/DlppK0TvvNHvv8VHjCfMOo8JewYbcDe32HoQQDUlQJMQxctcTOZIAeLboNAD+MX2Qe2HGJhlMcMFrqE49xd/8SvK0qagfvorOYcNu8sf/yZfo98P3BF5wAYrRCLYq2Ku1mjO46R3f86vysTlt+NcG47CqDReV7C68AiB2PGdVan/G3yZ922QXmlN18tnezwCYPXh2u3baGXVGXpn6CuMix2GxW7h16a1ct+Q6sqL/AmBYjTaVFqOeyy0jbkUfEEDkgw8CULTwTWzp6U3eW6fomNZnGnD0IFAI4VldOih67LHHUBSl3sfgwc3vD/Tll18yePBgvLy8GDFiBD///HMHjVb0VK6NYIOUNIr1YfxgHc3YPkFcNymuRddbki0kr+hP3tZAHOWVePWNITxSW0+oPGo4iv6wTNPeH8FWAUF9IbbpTIhr6ixeGQQcsahkd9P/dM6xVOKNjqTSpCYXN1yavpSUshR8jb5tXsG6NfxMfiw8YyFXDr4SnaJjW/42fjR+BEBs6RC8M/7Gvr2n8M6aVAACzj4b30mTUG02ch9/otklBs7qexYAyzOWU+usbff3IoTQdPmfksOGDSMnJ8f9sWbNmibPXbt2LbNnz+aGG25g27ZtXHjhhVx44YXs2rWrA0csehrX9FmQPofPrJPQ6Q08d8lI9LrmMxX2/Hwy772XgzfdjL3Agt5HIeqEUvrd0IfY8fEAZCeVHrpAVWHjW9rXo68CXdN/fV1BUaxT2yi2WxZZu/Sfhr+qcn6l9uf88Z6PG5zicDp4PfF1AK4dei1+Jr8OGZqXwYt5E+ax5OIlPDLxEf426Rp841UUFG4JmQzA87/tY3d2GYqiEPXoIygmE5Vr11L+U9O/sI2NHEuwOZhSaymJ+Ykd8l6EEN0gKDIYDERFRbk/wsKa3tTx5ZdfZsaMGfzjH/9gyJAhPPnkk4wdO5bXXnutA0csepqyPK11PtCQzXeOSVx/cjwDI/2bPF9VVUo+/4KUs8+h4pcloNMRct119P/0DYIH1qDs/oIYtGxIvc1hU1ZA5iYweMEJ1zc7JldQFGaLAeoWleyuYkaDdzBXlhQBsPzgcnYW7Kx3ylf7vyKlLEVb62foNR0+xGi/aGYlzOKGETdw2vSR2ouplUwfHIHdoXL3Z4nU2B2Y+vYl9NZbAMh79lkc5eWN3s+gMzCp1yQA1mav7ZD3IIToBkHRgQMHiImJoV+/flx11VVkZGQ0ee66des444wz6r02ffp01q1rfosAq9VKeXl5vQ8hWsLpVCkr0DIYRToo9BnAnacPaPL82qIiMm+7ndxHH8VpseA1YgTxX31J5LwH0Q+aDFP/BUDUtvvR6VQsxVbKi6q1WqKf/6HdZNwc8ItodlyZFZkA+FVpG8EGdsfOMxedHgadTT97LeebowF4fN3jVNdqf+4HSg6wYMsCAG4ffTv+pqYD0o4QNyIUv2AzNRY7t/SLJtzfTFK+hWd/0drxQ2+8EVN8PI7CQvIXLGjyPpNitKDoz+w/O2TcQoguHhRNmDCBRYsWsWTJEt544w1SU1M59dRTqahofLPM3NxcIiMj670WGRlJbm5us8+ZP38+gYGB7o/Y2FiPvQdxfLMU1+B0Kuiw87s6hPunDyLAq/H9xSpWriTl/AuwrFyJYjIR8eADxH32KV5Dhx466ZS5MOQ8jGo54XqtcDtnwzb49AooSgL/aJgy76jjcmWKDBVaMNStM0UAwy8G4J7MZELMwewr2cfNv93Me7ve48bfbqSqtooTo05k9uDZnTxQ0Ol1DDtVy9Clrs/jP5dqmaNFa9NYvb8AnclE1GOPAVD6+RdUJyY2ep+J0Vob/56iPRTXFLf7uDvDtvxtXP3z1cz6YVaL16ESoj116aBo5syZzJo1i5EjRzJ9+nR+/vlnSktL+eKLLzz6nHnz5lFWVub+OHjwoEfvL45fZRl5AATq89gdOo3LTmgYUKsOB/kvv0zmrbfhKCrCnJBA3JdfEjpnTv0iatDqhC55D4acT7RRW/8m+/cfIHUVGH3g0vfAO6jZMamqSnp5OoqqYC/W/ooHRXXzoCh+CviEEm4pZMHAq/A1+pJYkMiLW16kuKaYhOAEXpzyose29DhWQ06OQadTyE0pY5iPN9dO1LZamff1TiqttfhOGE/ghReCqpLz6GOo9obrEYX7hJMQnICKyvrs9R38DtpfSlkKty+9ne0F29lbvJe5K+eyPuf4e5+ie+kaP0FaKCgoiISEBJKSkho9HhUVRV5eXr3X8vLyiIqKava+ZrOZgICAeh9CtETuji0A6PSlXDXjtAbF1Y7SUg7eehtFbywEIPiqq4j78gu8BiU0fVODCWZ9QMzJWndZdu1wGHAG/G0J9J101DEVVhdisVsItIbjrFXRG3UEdMd2/MPpDTDsIgDGJf3BF+d+weWDLufUXqdy99i7+fjsjwk0B3byIA/xDTTTb6y2mvaOFZk8MGMwvYK8ySqt5vnftO07Ih74J/rAQKz79lG8uPG9zk6OORk4PqfQntnwDBa7hTERY5gZNxMVlWc3PCvddqJTdaugyGKxkJycTHR0dKPHJ06cyLJly+q99vvvvzNx4sSOGJ7ogbL3pQFQ6WXgzKH1p26tKSmkzrqMyj/+QPHyIubfzxH18EPozOaj31inI3rGLFCg1B5N1fmfaitgt0BqmdYCPlAdDkBwlA+6o3TCdQsn3qR93vMjfWpreeikh/jvGf/lxhE34mVo4Wa3tkpIXg5bF8O2jyB7Gzid7TLcUadrWcP9G3Kh2sH8i0cA2jTalvQSDMHBRPxTqxMreO017FlZDe4xMUb72bU+e32zLfzdTWJ+IhtyNmBQDDx76rM8NPEhgsxBJJclyzSa6FRdOii6//77WbVqFWlpaaxdu5aLLroIvV7P7Nla3cC1117LvHmH6ivuvvtulixZwgsvvMDevXt57LHH2Lx5M3feeWdnvQVxHMsrLoNK7evooYPqLRZYtWULabOvxH7wIMbevYn79BMCz2/d2jlevkZCY7TW8npdaEfhCopia7WC75Dooywg2V1EDIYBZwIqrG1lR2lhEvxwN/y7H3x4EXx/F3x3B7w1Bf47wb33nCdF9QskekAgTofKjhWZnJYQziVje6Oq8MD/dmCtdRB48cV4nzAOtbqa3KeebhD4jIkYg0FnIL863108fzxw7U93Xv/ziPGLIcAUwOWDLgfg6wNfd+bQRA/XpYOizMxMZs+ezaBBg7jssssIDQ1l/fr1hIdraemMjAxycnLc50+aNIlPPvmEt956i1GjRvHVV1/x7bffMnz48M56C+I49tvPX1Hh0LJDIyYcyuKUL/mVjOv/hrOsDK9RI4n74nO8hjSx/9lRxAyo2xz28PWKjiKlLAWA0Gqt2Dck5jgJigBO/rv2eesHULD/6OfbKuG3h7XAZ8siqK2BwFgYOB3iJ4PJDwr3w5dz4JvboLb5fclaa8yZfQDYtToLW00tD587hDA/E0n5Fl5fnoSiKEQ/9hgYjVhWrKBiaf0siZfBi+Gh2s+vzXmbPTq2zlJlr2JZhpbRv3jgxe7XLxhwAQDrc9aTW9l8c4wQ7aVLB0WfffYZ2dnZWK1WMjMz+eyzz+jfv7/7+MqVK1m0aFG9a2bNmsW+ffuwWq3s2rWLs88+u4NHLXqCIosVZd9vVDi01vigSC2jU/L5F2Tdey+qzYbf6afTd9EiDCEhbX5OdN3msG3JFJnLtdq44yZTBBB/GiTMAGetlulpasNUVYU9P8Jr42HtK9r5A8+C65fAPTvhqi/guu9h7h449X5QdLD9E/jiWo8GRnEjwgiK9MFWXcueP3MI8jHx+PlakPPGqmSS8i2YBwwg9G9/AyDvqadxWCrr3WNc5DgAtuRt8di4OtPqzNVU11YT6x/LqPBDv0zE+scyOnw0KiqrM1d34ghFT9algyIhuqoP1qUz0pGNEwMGg4pfkJnijz4m99FHQVUJuuJyer/6CjpvrcB5XfY6/rXmX9y9/G4+2P0BVfaqFj0npi4oKsqyYK1q2Y7pqeWpKKqCo0TrbDuuMkUAM58DcyBkbmw8MCpKhk8uh8+vgvJMCOoDsz+Hq76EvhPrb6LrFQDTHoYrv9QWxdz/C/x8v8eGqugURp+h1RYlLsvA4XBy9ogopg4Kx+5QefjbXaiqSthtt2KMjaU2L4/CV1+pd4/jLSj6I+sPAKb1mdZgf7rJsdoq4KsyV3X4uIQACYqEaLUqWy2/rN1KgFNbjygwwpviRYvIe+opAEKuv56oRx9F0etxOB08vf5pbv79Zr5P/p7lB5fz/Obnufj7i0kqabyL8nC+gWZt4UUVcpLLjj42exW5lbkE1ISh1oLBqCMgtJt3nh0pOA4ufhMUPez4HN6cDGtfhXX/hU+ugNdOgAO/gs6orft0+wYYNKP5ew48Ay77EFC0qbktizw23EEnReHtb8RSbGXf+lwUReHx84djNuhYl1LEd4nZ6Ly8iHrkEQCKP/yI6t273dePjhiNTtGRackkrzKvqcd0C6qqulfoPrnXyQ2On9Zb20x5Q84GbA7PTmUK0RISFAnRSp9tPMhQ63ZKHVrNjk9NMfn//jcAobfeQsQ//+H+Dfi1xNf4bN9nKChcPuhy7ht3HzG+MWRZsrjhtxvciyw2J6YVU2jJpckAxNm0jZNDYnxRjofOsyMNmglXfAzewZC/G357CH6dp2V6VKdWM3Tbn3DGo2Bq4RpNCWfBNC0wYcn/QUmaR4ZqMOoZc5a2TtHmn9Nw1DrpE+rDXXUrnz/101+UVdvxO/UUAs6eCU4nuY8+hupwAOBv8mdQsLax79b8rR4ZU2fZX7KfwupCvA3ejI0Y2+D4wKCBhHiFYHVY2VUoe1aKjidBkRCtYHc4eXdNKhN1f1FaqwVFum1a/UPYXXcScc897oBoa95W3tn5DgBPnfIUD530EHOGz+Hzcz9ncMhgimuKmbtyLvam6mLqxAwIAiBrX8lRx7evRFsDp79dq1uJiDuO19waNBPu3AJnPglDL4Ah58HpD8Ht67WaofBBrb/nyfdA35PBXgnf/12rTfKA4ZN74RNgoqKohr3rtOaQm07rR79wXwotNl5wrV304IPo/Pyo2bWLko8PbXx7vEyhrcnSNvQeHzUek97U4LiiKO732t0DQNE9SVAkRCv8uCObrNJqTjH8RVFlbwB8qvIIvelGwu+4w31erbOWpzc8DcAlAy/h/P6H2vGDvIJ47fTXCDIHsbd4L2/ueLPZZ/YeHAxAfkYFNZbmA6h9xdo/rmEVvQCI6Nu5+4C1O99QrSPtssVw+Udw2j8gom2dfoC2ovgFr2n1RamrYO+PHhmm0aRn7IzDskV2J2aDnqcu0ILXD9ensyOzFGNEBBH33wdA/osvYavb6/GEyBOA7h8UucZ/UvRJTZ7jCoqOl2470b1IUCREC6mqyntr0uitFBCUXUaJTQs8IieNJHzu3Hrnfp/8PftL9hNgCuDusXc3uFekbyQPnfQQAO/sfMfdMdYYv2AvrVhahYN7m98Da3/JflAV9EVaN1xE3+M4U9ReQvrBpLu0r3972GPdaMNOjcE30ISlxMqu1dpCjZMGhHHB6BhUFf71zS4cTpWgyy7DZ/x41Opqch5+BNXpZGykNtWUVJpEaU2pR8bT0VRVdU+JHd51diTXtNr2/O04nI4OGZsQLhIUCdFC2zPL2JlVxgXl60hfF4nVS8vg9Jt3R70uGqfq5P1d7wNw04ibCK4770jT46YzufdkHKqDl7a81Oyz+wzV2voz/mo6KFJVlf0l+wmqjkC1KxhMOoK7+55nneXke8AvEkpSYdPbHrmlwajnxHPjAdj0U6o76/evc4bg72VgZ1YZH29IR9HpiH7qSRRvb6o2bKD0iy8J9gomPlC7NrEg0SPj6WhZlixKrCUYdAYGhTQ9tZkQnICf0Q+L3aIF+UJ0IAmKhGihD9elE1FVzNlr11Jp0hZt9PI14B1Qf4uJVQdXkVaehr/Rn1mDZjV7z3vH3YtO0bH84PJmp0b6DA0F4ODuoia3e8iuzMZitxBdFQdAeKw/Or38FW8Ts59WnwSw5kWwtWwJhaMZcnIMob38sFbVsvEnLTsY4e/FP6ZrQcJ/luwjv6IGU58+RNx7DwD5//kP9uxsdwalu9bauLJEg4MHN1pP5KLX6RkZPhKAnYU7O2RsQrjIT0whWqCk0sayLck8vu5ddNW12MO1ICUosmEm5uO9WoHsrEGz8DU2v0ZQ/6D+7lV9X9ryUpMBT/TAQAxGHZVlNoqzKxs9x1VPNMCm7bEVfrzXE7W3UbMhqC9UFnisRV+nUzhlltZ1tmtVFsU52n/Lqyb0ZWTvQCqstTz90x5A2zzYe8wYnJWV5Dz6GKPrppwS8xM9MpaO5gpwhocdfYeBoaFDAfir6K92HZMQR5KgSIgW+GpDKv9Y+wFxFXkYvB0Y6oqfgyLqB0W5lblszNkIwGWDLmvRvW8bdRsmnYnEgsQmi0sNRj0xCdoz03cXNXqO6zfxiNJ+wKFWftFGeiOcqhU98+dLYK/2yG17Dw4hflQYqlPlz68OoKoqep3CUxcOR6fAd4nZ/HGgAEWvJ/rpp1BMJir/+IMRm7Sp012Fu7A6rB4ZS0dyBUUjwkcc9VwJikRnkaBIiKNwOJw4X36esQX7UU0Gep9aTIXfMAACj8gU/ZD8AyoqJ0SeQC+/Xi26f4RPBBcNvAiAt3a81eR5fYdr2anUxIJGj+8o3IG3zR9jmS8o0Gtg47VMohVGzdb2SrPkQeInHrvtpEsGoDMoZOwuJn2nFuSO7B3EtRPjAHjo213U2B2Y+/Uj/O9a0XftS2/RzxaE3Wlnd+Hupm7dJdmddvYUaRmwEWFHD4qGhWp/vw6UHOiWAaDoviQoEuIoNr/2HqftW4MThZhL++EdYqdU1dqrgw8LilRV5fvk7wHqteC3xPXDr0ev6Fmfs56dBY3XUfQfEw4K5KaUU1FcU++Yw+lgZ8FOYsq1qZnQXn54+RlbNQbRCIMJJtYttbD+DXA6PXLboAgfRk/TNov948sDOOzafe87K4HIADPpRVW8tlxb8Txkzhy8RozAWV7OHT+rKKrKtvxtHhlHR0kuTabGUYO/0Z++AX2Pen60bzRB5iBq1VoOlBzogBEKoZGgSIhmVG3dhu+bLwGwa+aVBHnvRlWhtFJreT+8pmhn4U7SytPw0ntxZt8zW/WcXn69OKffOQC8tbPxbJFvkNm9kGPS5vx6x5JKk6iqraJfmVag6lrbSHjAmKvBHABFByDpd4/ddtzMvvgGmigvqCZxmbYekb+XkcfP17Ikb65O5kBeBYrBQMxzz6J4eRG7p4jpW7pfUOSaOhsWNgydcvR/dhRFcU+hdbesmOjeJCgSogn2vHwy7roLvdPBHzEjmXjzDKgsoEYXgbUuURMYfmhfsV/TfgVgap+p+Jn8Wv28G0fciILCyoMrm2xFHjAuAoADm+vvgbW9YDs6p46+JVoRa79R4a1+vmiC2R/GXqt9ve51j93W5GVg4sVaZm/zL+lYSrRpounDopg2OAK7Q+Vf3+zC6VQx9+tHxD+0jWqvXuEkb/dmnKpnslYdwVXv1pKpMxdXULSneE+7jEmIxkhQJEQjVJuNrLvvRi0qIs0/kvWzbqdPudYKXRp6BgB+IWYMJm0nelVVWZ6xHKDVWSKX+MB497Wu7UGO1H9sBDqdQkFGBQUZFe7XtxdsJ6Y8AYPdhLe/kaj+gW0ag2jChFtA0WmrXOd6bk+uhPGRRPULpNbqYO3X2nSZoig8fsEwvI16NqYV89WWTACCr7wSn1NOxlQL1/+vjJTC7rOGT2s6z1xc+73J9JnoSBIUCdGI3GeeoToxkUqTN09MuJ7LTxuk/YMIlPhOAOrXE+0v2U+mJROz3szJMQ13/26pm0beBGhZp4zyjAbHfQJM9K/LFu1Yrm0mq6oqG3I2MCxXe+6AusBJeFBQHxhSVye2seli+NZSFIXTrkgABQ5syiM7qRSA3sE+zD0zAYCnf95DocWKoijEPPMMVb4G4vMg+6UFHhtHe6qyV7k3Km5Npmhg8EAADpQe6FZZMdG9SVAkxBFKv/mW0s8+R1UUnht7JfTqzbRBYZCmbWZZrPYHICT60BSZK0s0MXoiPsa2ryI9OGQwp/Y6Fafq5L1d7zV6zsjTtT3X9m3MoyjbQmp5KjVFTvfU2fApvdv8fNGM8VrAys6voKbMY7cN7+PP0FO0zYX/+Hw/Tqe2VtX1J8cxJDqAsmq7e+0iY0QEB26eBkDY139QuXGjx8bRXnYX7capOonyjSLcp+XTun0D+mLUGamurSarIqsdRyjEIRIUCXEYa0oKuU88AcCyCRewKWoIV47vg6FgN9SUgsmfkgotGAqJObQw47KMZQCc3uf0Yx7DzSNvBuC75O/IrcxtcDwqPpB+o8NRnSorPtzL2rT1nJZyGTp09BkWSkh08wtGijbqezKEDQJ7Jez4wqO3Pun8fph9DBQetPDXmmwADHod8y8egaLAN9uyWLZHqyOLPXcWK0YqKCpk3/8Paoub3w+vs7WlngjAoDPQP0j7BWR/afeZKhTdmwRFQtRxWq1k3TsXtboadewJvBg5CYNO4fLxsZD6h3ZS34kU52pbPgTXBR85lhz2lexDp+iYEjvlmMcxOmI0J0adSK2zlkW7FzV6zsmXDsDsYyAvtZySN8PpVZ4ABienXTHwmJ8vmqAocMLftK83vwdNrD7eFt7+Jsafp+1ttuG7FKxV2r5oo2ODuPEU7fV5X++krMrOyPCRvH+mnsxQqM3PJ/ufD6B6aKmA9tCWeiKXhGBtClH2QBMdRYIiIerkP/cc1n370IeE8NVZN+FUdMwYHkWEvxekrgbA1muKu0soJFqbJvsz+09A+024qc1fW+vGETcC8L/9/6OwurDB8YAwb865YxRmXz06px6brobxV/UmMFw2gG1Xo64Agzfk/wUZ6z166+Gn9SI4yoeaSjvbl2e6X7/vrEH0C/clv8LK4z/sxt/kT9/IQbx4kR6n2UjlmjUUvd14YX5X0NZMERwKiqTYWnQUCYqEAMp/+42STz4FIOipp/k0WcsGXXNSX3DUQvpaAIp9tCJr30ATZh9tccS12dqxYymwPtLE6ImMCBtBjaOGhdsXNnpOdP9AfOZk8/XwF9h85mecOHGwx54vmuAdBCMu0b7e3HjNV1vp9DrGn6dt0bJ9aQY1lVq2yMuo5/lZo9Ap8PW2LJb+lceYiDEcDFfYfvV4AApefpmqzY1vEdOZCqsLyanMQeHQukOtMTCorthagiLRQSQoEj2ePSuLnIceBiD0xhv42dyXaruDhEg/xseHQE4i2CrAK4hiWxRwaOqs1lnL+mwtYzCp1ySPjUlRFO4ddy8AX+7/kqSSpAbnqKrKlylfkO+fwdmDp3vs2eIoTrhB+/zXt1DZMIt3LPqPCSe0ly+2GgeJSw91H47tE8xNp2oB07xvdpIQqGVdvh9cQeAF54PTSdbc+6gtanxfvM7iWp29f1D/o26O3JiEEC1TlFGRQXWtZ/aeE6I5EhSJHk2128m6736c5eV4jRpJ2N//zofr0wEtS6QoinvqjLhTKMnVfjC7ipl3Fe6iwl5BgCmA4aGtr5lozolRJzKtzzScqpNH1z1KrbO23vG12WtJKk3C2+Dd6m1FxDHoNRZixoDDBokfe/TWik5h/Lla8LNjeSbVFpv72L1nJtA/3JeCCis/bDQDsLdkHwH/9w9M/fpRm59P1t33oNrtHh3TsXBvAtuGqTOAUK9Qgs3BOFUnKaUpnhyaEI2SoEj0aAWvvkZ1YiI6f396vfAC6zPKSS6oxNek58IxdRu6uoKi+NMozqkEDnWeueqJToo+Cb1O7/HxPXDiA/gb/dlRsIM3tr/hft3usLNgi7ZOzSUDL8Hf5O/xZ4tmuAuu3/fYfmgu8aPDCIv1w251kPj7oWyRl1HPy1eMwaTXsXpPLf6GMByqg91VyfR+9RV0vr5Ubd5M3vz5Hh3PsXDVE7WlyBq0jKkUW4uOJEGR6LEsf/5J0dtvAxD95BOYevd2Z4kuGtsLfy8j1NoOFdTGneoOilzTZ2uz6uqJenmunuhw0X7R/OukfwHw1o63WLh9IcU1xTy27jH2l+zH3+TPLSNvaZdni2YMvwTMgVCSCinLPXprRVGYUFdbtHNllru2CGB4r0Dmna3VjpUWa+tRbc3firl/f2L+8x9QFEo++ZSSLzy7ZEBbOFUnu4raXmTt4lrEUYIi0REkKBI9Um1hIdkPPAiqStDllxMwYwa5ZTX89pe2Fsw1J8VpJ2Zthtpq8AnDFjAQS7Gr88yXMmuZ+4f+pBjP1RMd6Zx+53DTCG3hwNcTX2fy55P5Pvl7FBSePfVZgryC2u3ZogkmXxg9W/t6k2cLrgH6jggltJeWLdq5MrPesTmT4jhjSAT2Km23+S252uaw/qdPJfzvdwGQ++RTVG3d6vFxtUZGeQYVtgrMejMDgge0+T7uDrRSKbYW7U+CItHjqE4n2Q88iKOwEPPAgUTOexCATzdm4HCqjI8PYVBU3XSUa32i+FPd9UQ+ASa8fI2sy1mHU3XSP7A/Ub5R7Trmu8bcxROTniDCR9viI8Y3hldOf4XTep/Wrs8VzXAVXO//BUoPevTWiqIwdkYfQKstslsd9Y79+9JRBClasLApdxu2Wi2bFHrrrfhPnw52O5l/vxt7VuetBO2qJxoSMgSjztjm+7i3+5AONNEBJCgSPU7Ru+9S+eefKF5e9HpxATovL+wOJ59u1Oo3rjmp76GTG6knck2drcteB3i266wpiqJw0cCLWHrpUv6c/SdLLlnikYUixTEIT4C4U0F1wpZFHr/9gLERBIR5UVNp568/s+sdC/E18d/LzkZ1eOGkhid/06bwtP3RnsY8aBCOwkIybrkFR5nntiRpjWNZtPFw/YP6o6BQXFNMUXXX6q4Txx8JikSPUrVtGwUvvQxA1EP/wjxAS+v//lce+RVWwvzMTB9Wl/WxV0Nm3d5ScYcVWUf7oqoqf2ZpRdaeXJ/oaBRFIcAUoHXFic53orbIJls/0OrPPEin1zHmLC1AT/w9A4ejfkH3iXFhDAgcBsBnO1ezZJe2JYzO15fYhW9giIzElpRM5p134bR5dmwt4WrHP5Z6IgBvgzex/rGATKGJ9idBkegxHOXlZN93PzgcBJx9NoGXXOI+9uE6rcB69vhYTIa6vxYHN2ht1/4xENqfoswKAMJ6+5FSlkJeVR5mvZlxkeM6/L2ILmLwOeAXBZUFsOd7z99+YhQ+ASYsJVYObMxrcHzmgIkA6L3TuOfzbWxO0/ZBM0ZHE/vWm1pH2qZN5Mz7vw7dCqSmtoa9xXsBGBUx6pjvJ1NooqNIUCR6BFVVyXnoYezZ2RhjY4l64nF3tiUpv4J1KUXoFJg9vs+hiw6rJ1KBwkwLAKG9/dxZonGR4/AyeHXkWxFdid4I4+ZoX2961+O3Nxj1jJqmZUm2/pqO6qy/39rYyLEA+AQcpMbu4G+LNrE3txwAr0GD6PXKy2AwUP7TTxQsWODx8TVlT/EeatVaQr1CifGNOeb7SVAkOooERaJHKP38cyp++w2MRnotWIDez899bHFdluiMIZHEBHkfusi9aOOpVJXbqK6woygQGuPr3tqjPbvORDcx7jpQ9JCxFvL+8vjth5/WC5O3gZLcKlJ31F9Be3jYcAyKAbtSwqg4lfKaWq59dyNphdpUr9/JJxP95JMAFL3zLoV1S1C0t+352wEYFT7KI1O9st2H6CgSFInjXs2+feQ9oy1oFzF3Lt4jDhV+VtTY+d8WreX5uklxh11UDllbtK/7TXFniYIifajV2dmcp+0zJUGRICAGBp+tfb3Z89kik7eBEZO1hUS3LElHVQ9li7wN3gwJHQLA1VNUBkf5k19hZdab69iXq033Bl10IeH3zQWg4IUFFH/4kcfHeKQdhTsAGBk+0iP3c2WKksuScaodNw0oeh4JisRxzVlVRdbc+1BtNvwmTyZkznX1jv9vSyaVNgf9w32Z1D/00IH0P0F1QEg/CIqlqC4oCuvtx9a8rVgdViJ8IhgQ1Pb1V8RxxFVwvf0zLaD2sJGnx6I36MhPKyc3uX432eiI0QDsK93BhzdMYHCUPwUVVi5/ax1b0ksACLvpJsJuvw2AvKefpvR///P4GF1UVa2XKfKEPv59MOvNVNdWk1mRefQLhGijLh0UzZ8/nxNPPBF/f38iIiK48MIL2bdvX7PXLFq0CEVR6n14eUnNR0+V+/TT2JKTMUREED3/mXqpfKdTdU+dXTcprn6aP2Wl9rnfFOCIeqK6rT0mxUySLjChiZ8MYQlgs8DWxR6/vU+AiUETIgFIXFZ/TaSxEVpd0Za8LYT7m/n85omMjg2itMrO7LfW88Vm7fywu+4iZM4cAHIeepiyH370+DgB8qryyK/OR6/oGRo61CP31Ov09AvUVvmWKTTRnrp0ULRq1SruuOMO1q9fz++//47dbuess86isrKy2esCAgLIyclxf6Snp3fQiEVXUvbDD5T972vQ6Yj5z38whITUO/5nciEphZX4mQ1cPLZ3/YtTVmmf4ycDUHjQ1Xnm764n6shWfNHFKQpMvEP7ev0b4PD8pqwj6wquUxILKCuocr8+LnIcCgpJpUkUVBUQ6GPk4xsnMGNYFDaHk39+tYMH/7eDSpuDiAf+SdAVl4Oqkv3AA5R++63Hx5lYkAhAH78BrNhTxofr0nh9RRKvr0jivTWpfJeYxa6sMmrsjuZvdAT3dh+lst2HaD+Gzh5Ac5YsWVLv+0WLFhEREcGWLVs47bSmV/JVFIWoqPZdYVh0bdbUVHIffQyAsNtuw3fC+AbnfLBWC5YvHdcbP/NhfxUqcqFgD6BA/GnU2hyU5mn/CKkh1SRtSUJB4aTok9r7bYjuZOQVsPxpKM+E3d/AyMs8evvQGD/6DAshY3cxO5Zncurl2orWwV7BDA0dyu6i3azLWcf5/c/H12zgv1eN5ZXlB3hp6QE+23SQPw4U8tRFw5n88MPgcFD65VfkPDgPtcZK8BWXH9PYyqrtbEwtZm1yIb9k/wBesC89hDs2Nr3ViEmvY3x8CFMHR3DRmF6E+JqafYZ7uw/JFIl21KWDoiOV1a3MGnLEb/xHslgs9O3bF6fTydixY3nmmWcYNmxYk+dbrVasVqv7+/Jyz9cEiI7jtFrJmnsfzqoqfMaPd9dSHO5gcRXL9mrrvlx9+ArWcKjrLHok+IRQnF6OqoKXn5Gtlk2A1vUje46JeoxeMOFmWP4UrH0FRszSMkgeNHpaHzJ2F/PX2hzGnxeP2UfbPmNSzCR2F+1mbfZazu9/PgA6ncI9ZyRwUr9Q/vHVdg4WV3P9+5uY2C+UudffTazZTMlHH5P72GM4a6oJrZtaa4lqm4PN6cWsTS5ibXIROzNLca0W4NNvL3rAXJvA0D5BRPp74e9lQFGgyuYgr7yGpHwLJVV21iQVsiapkOeW7OXcEdHccfoA+of7NfpM6UATHaHbBEVOp5N77rmHk08+meHDm142ftCgQbz33nuMHDmSsrIynn/+eSZNmsTu3bvp3bt3o9fMnz+fxx9/vL2GLjpY/nPPYd2zB31ICDH/+Q+KXt/gnI82pKOqcOrAMAZEHPFD+Ih6ooKMQ4s2rs7+FoBTep3STqMX3doJN8AfCyB3p/b/Uf+pHr197yHBhMT4Upxdye412YytW/F6YsxE3t75Nuuytf34dMqhyoiT+oWy5O7TePH3/Sxel866lCJmvVVEQsQp3DfdSp9fvyL/2edwVlYSdvvtjdbJFVfa2H6wlI1pxWxKLWZHZhm2I1bY7hfmy5h4A79Z8lFQWHXnDQR7Bzf6PlRVJbWwkpX7Cvg2MYsdmWV8vS2L77ZnM3t8LHPPHNQgc+SaPsuoyKCmtkbWBxPtotsERXfccQe7du1izZo1zZ43ceJEJk6c6P5+0qRJDBkyhDfffJMn69brONK8efOYO3eu+/vy8nJiY2M9M3DRocqX/ErJJ58CEPPccxgjIxqcU2N38Pkmrfj02olx9Q+qaoN6onxXUNTHj3U52n5nJ/eSeiLRCJ8QGHMNbHwT1izweFCkKAqjz4hl+eK97FyRyehpsej0OkaHj8bb4E1xTTH7S/YzOGRwvet8zQYeOncoc06O47XlSXybmMX+/Epu8ZrA7MEVXLv3VwpffY2Va3az/vwbUAwGyqvtFFXaSCnQsjpHig70YlL/MCb1D2XSgFCiA71ZkrqE31ZrU11NBUSu99Ev3I9+4X787ZR4Eg+W8tryAyzdk89H6zNYsiuXpy8acWjLHSDMO4xAcyBl1jJSylI8VsQtxOG6RVB055138uOPP7J69eomsz1NMRqNjBkzhqSkpCbPMZvNmM3mYx2m6GS2gwfJeeghAEJvugm/UxvP5vxvayalVXZ6B3tz+uAjgqaiZK0mRG+CPlpwXZCuBUXVwSVUZFQQYApgeOixbXIpjmOT7oLN72nTsGlrIM6zWcWEE6NY900ylhIraTuL6Dc6HKPeyPio8azKXMWfWX82CIpcegf78OwlI5l39hC+T8xi2d58vjXNoNzkw207vmX4thVUZecw/8RrqDHU/5kYH+bLCX2DGR8fwvj4EPqE+DTIKm3M1fYKPDHqxFa9p9GxQbxz3YmsTynike92sT/Pwi0fbuGKE2N57PxheBn1KIrCwKCBbM7bzIGSAxIUiXbRpYMiVVW56667+Oabb1i5ciXx8fGtvofD4WDnzp2cffbZ7TBC0VWoNptWR2Sx4D1mDOF/v6vR85xOlXf/SAXgbyfHo9cdMVWQrO02TuwEMPlQa3dQlKW14+/VbwO0+g29ruGUnBAABMVqq1xvekcrvL7+Z4/WFumNOoZMimbrrxnsXp1Fv9HhgJa9XJW5ilWZq7hhxA3N3iPQ28g1E+O4ZmIctlonKYWTyPt5LKEvPcX4vL18sON9Uuc+gV9MJHGhvvQP98Pb1Pz/86qq8keWtjVOW5sQTuoXyg93ncJLSw/w5qpkPtt0kD055bxx9ThigrwZGHwoKBKiPXTplvw77riDjz76iE8++QR/f39yc3PJzc2lurrafc61117LvHnz3N8/8cQT/Pbbb6SkpLB161auvvpq0tPTufHGGzvjLYgOkv/CC9Ts3Ik+MJBeC15AMRobPW/Z3nxSCisJ8DJw2YmNTJEe+E37PPBMAIqyKnE6VLz8jKwt16bVZOpMHNWp94HerG39kbLC47cfeoq2wnXGX8WUFWg/D6fGalN1ifmJFFYXNnntkUwGHYOjApj8t0vpv3gR+uBgAjKSGPfcfUzTlzC8V+BRAyKA/SX7ya3MxUvvxYToCW14VxqzQc8DMwaz6PrxBHob2Z5ZxoWv/8ne3PJDe6CVSlAk2keXDoreeOMNysrKmDJlCtHR0e6Pzz//3H1ORkYGOTk57u9LSkq46aabGDJkCGeffTbl5eWsXbuWoUMl1Xq8KvvpJ4o/0BbMi57/DMbo6CbPfXt1CgBXTuhbvw0fwFYFaXWbwA48C4D8NK0TMTjWm11FuwBZn0i0QEAMnFiXrVn2BHh4h/rAcG/6DNW6cP9akwVAlG8Uw0OHo6Ky8uDKNt3Xe/Ro4j79BFNcHLU5OaRfdTVlP/3Uomtdzzwp+iSPFEGflhDOj3edQkKkH/kVVi5buI7aam0BS8kUifbSpYMiVVUb/ZhzWOvoypUrWbRokfv7F198kfT0dP6/vfuOr6pIGzj+O7emkEp6oYQSIPQAkVAFRYpUC+yiomtFZN1F1teOrC6oqCu6gIqFXVdEbIhlQQmg9GooARISEkhI7z23nHn/OCQSElIggUDm+/lcktxzzpzzZMK9z52ZM1NRUUF6ejo//PAD/fr1u/IXL10R5XFxpD33PABtH3oIl1GjLrpv9Lm7Z4x6hXvPX+esUtJ2sJWDWzB4a2MyKgdZl7nnIhCEeoTi7eTd5HFI16GhfwWTC6T+BtGfNnnxYcO01qLjO9Ow27Ska1Q77e9/85nNl1yuqUMHOqz9HOfhwxDl5aQ+MZ/MN95E2OuebLEyKRoRPOKSz32hYE8n1j48mPD2HhSW23jxyxwAssqyyC/Pb7LzSFKlFp0USVJd7EVFnJ37Z0RZGc6Rg/F+/M917r9ym9ZKNKlPIH5utXySPb/r7NwYkKzTWktRgikGgMhAuQCs1EBtfGDk/2nfb3oRyvKbtPgOvdvi7GairMhK4iGtu6wyKdqdtpsSa90z/9dF7+pK8IoVtH1Aa+3KWbmS5NmzseXl1bp/clEyR3OOoqAwIqjpkiIAdycT/70/glHdfKiwmhBW7a422YUmNQeZFEnXJKGqpD71NJbTpzEE+BPwxhu1zkdU6XROCf87onWzPjCslgH7QsDJjdr357rOrBY7uanaG8tOaxQAQwPk/ERSIwx6WFsTrTQbtr7SpEXr9DpCB2tdxSd2a3/bIW4hdHDtgFW1siX58sYyKXo9PvPna3N9mc2U/LqNxKnTKD34W419v0v4DtC6zpqjJdXRpOfdu8IZ3c0He7l2m/6m+OgmP48kyaRIuiblrPyA4qgoFKORoKVvY/C4+JwoAMu3JKAKGBnqTXd/15o7ZJ+E/DParfgdtSVkss7NZG1y0XFWnMbR4Eg/H9kVKzWCwQTjXtW+3/seJO9t0uK73aAlCGdicikpqEBRFMZ31O60/T6haRZ8dZt4Kx0+X4OpfXts6emcvucecj76GCG0KaxVobI+YT0AkztPbpJz1sZk0LH8rv4EOXcC4NPfdhGdnN9s55NaJ5kUSdec4l9/JWvpUgB8X3gex151zxmUklfKVwdTAJg7qkvtO1W2ErUfAiZnANIStGVlLN75gDbA2qiv/a42SbqoTqOg93QQKnzzCFguvVvrQh5+zvh2dEWogri92rI1t4bcCsCutF1klmY2yXkcunWjw1df4Tp+PNhsZL72GimPzsGWl8futN2cLT5LG2Obqu675mI26Jk/cjQAqimZP63aR2J20/0+JUkmRdI1peLkSc7+dR6oKu533IHHHXfUe8y7vyRgUwVDOrclvP1FWpSOaZ906Tah6qn0U9p4opPmwwCMDB55WdcutWLjXgOXAMhNgA1P179/I3Q714UWuzsNIQTBrsH08+mHKtSqbq2moG/jTMAbr+P34gIUo5HiLVtInDSZqC/eAGBSp0k4Ghyb7HwX09enl3Y95kxyS4uZ9dFesooq6jlKkhpGJkXSNcOWm0vy7EdRS0pwGjgQv+efq/eY9IJy1u6rp5WoMBVSznVrdNM+ZQshSD/XUnREvxedomN40PDLD0JqnRzdYcpyQIGD/4YDq5qs6M7hPugNOnLOlpCdrE00OrXzVADWxq7Fptqa7FyKouAxY4bWnRYSgi0ri9tXHONPPwvu6TSjyc5TFx8nH7wcvUBRCfDJ40xuKX9atY+SiqaLU2q9ZFIkXRNUi4WUuX/GmpKCsV07At9eimIy1Xvcu78kYLGrDOrgyQ0hbWvf6fi5sRdBg8BV+9Sdn1FKeYkV9IJs5xT6+fTDw6HucUuSVKdON8Koc4n8j3/TpoBoAg7ORjr28QLgxC5twPW4juNwN7uTWpLKL8m/NMl5qp2zRw8C1n7Krkh3AMbut1M+ay5lMTGNKsdqsZN4OJvYPelVk1DWR1EUwtqGAfCHoQqeziaOnC1g9qcHsdqbdj4oqfWRSZHU4gkhSH9hAWUHDqBzcSF4xfJ6B1YDJOeW8ume0wA8ftNFWokAjp/rOusxqeqp9FNaK1Gxexaqzl41W7AkXZZhT0CPyWC3wOoZcPZAkxQbem7Addy+DOw2FQeDA3d01bqWV8WsqhoU3VSEELx2ZCn/HFHM0rvc0Hl7YUlIIGn6DLJXrEBYay4ge6GU2Dw+fWE3Py4/zKaPj/HpC7vY8eVJVLX+a61MitIr4vno3oE4GvX8GpfFs98cafJYpdZFJkVSi5f9zjsUrFsHej2B//wn5k6dGnTcmz/HYbULhnb2Ykhnr9p3KsmG0zu077tPrHq6susswUGbxVomRVKTUBSY+r52h6OlCD6ZCkk7LrvYdj08cXI1UV5s5fRRbYLDGd1mYNabic6K5teUXy/7HJXKbeW8vPtlvoz7EgWFP977Gp3Wr8dlzBiw2cha+jaJd9xZZ6tR8olcvnsnmpL8CpzdTPh0cEUIiN6UzJZPjteb2IR5aUnR0eyj9A12519/7IdOgbX7U3hn88UX/5ak+sikSGrR8j77jOzlKwDwe/552gxt2BIbx9MKWRetLX/wf2NrXzEcgBM/aHcF+fUGjw5VT6edG2Sd2iaBTm6daOfa7tICkKQLGR1gxmcQfAOUF8AnU+DQmssqUqfX0TVCay2q7ELzcfLhj93/CMBbB9/CqtbfenMxBRUF/JryK28deIvxX49nbdxaAJ674TmGBw3H4OFB4NK3CFiyBL27OxUnTpB053Qy33gDtby8WlnFeRVsXHkU1Sbo2MeLmS8N5o6nBjDmgTAUncKJXekc/eVsndfTo622bFNiQSIl1hJGd/fl75O1u1Df/DmOrw6kXHKsUusmkyKpxSrc+BPpf38JAK85c/CYMb3Bx7624QRCwITe/vQKcrv4jke/1L6e13VWWmghL027zTfDJZGbO9zc+IuXpLqY28A967SB/XYLfPOwdrv+Zcx63f3cXWhJR3IoKdDuxrq/5/24mlyJz4/ng8MfNLgsi93CjrM7WLRnEdPWT2PYmmHMiZrDh0c/JKssCz9nP5aNXsadoXdWHaMoCm4TbyXkh++1W/ftdnJWfkDilKmUHtC6CYUq2LTqGBUlNrzbuXDLAz0xnltstssAXyKnaa3Au75JoDivvOaFnePl6IWvky8CQUy21iJ11w3teWSEdvz/fXWYHfENXxRXkirJpEhqkUr27CV1/nwQAvc778TrsTkNPnZHfDZbYrMw6BTmjwm9+I4FKZB4bgHYXr+/uJ+N1ZYyyHE+S7mxhLEdxl5SDJJUJ6Mj3PkfGPEUKDo49Bm80x/2fQD2xt9J5Rlw3pxFe7Q5i9zMbjwb8SwA7x1+j71pdU8emVyYzGv7XmPk5yN5ZNMjfHbiM07mnUQgaO/animdp7Bo6CJ+mPrDRe/GNLRtS+CbbxC0fBkGb28sSUmcnnkXaS++yPGtiZyNzcNg0jHm/jD0xupvQX1GBeMX4oa1ws62z+texqNyItWDmQernnvyllAm9gnApgoe+eQAselFdf/SJOkCMimSWpzSgwdJnj0bYbXS5qbR+C14AeXcWmT1sdhUFqzXPjnOjGhHRy/ni+98eC0goP1Q8Ghf9XTKuaQoxTWOrh5d6eTesDFMktRoOj3c+DTc+yN4hUJpDvzwBCztAzuWamPeGqF7pNZadHxnatW4nPEh45kQMgG7sDN389yqhVsrCSHYlbqLx6IeY8I3E/jk2CcUWYvwdvTmts63sWTwm2y+YzPfT/2el4a8xMROEzHp67/z02XUKEJ++B63228DIPuLb9nx6REABk7ogLuvU41jFJ3CyJmhKDqFU9FZVROo1qa/b38ADmb8nhTpdApLbu/NoA6eFFXYuO/jvWQUXrzFSZIuZLjaFyBJ5yuLjib5wYcQpaU4Rw4m8PXX61zT7EL/3plEfGYxbZ1NzLu5jlYiIX4fx9Gn+vwqKSdyATjrFscU2UokXQntB8PsHdr8RVtfgcIU+PkF2LQQOgzVbgLoOFxbR62ODwidB/iyfe1J8tJLyUgsxC9E6zpeGLmQ7LJs9qTtYe7muYT7hhPWNoz8inz2p+8ntSS1qowhgUOYETId834Pjn2VR0KpIMV8iNDQCgb2y8fByQAmJzA6gdkVXPy0Ry2zvetdXQl4+WXcJk3il6VbsBhdcCzNwO2TVZR3fA6Hrl1rHNM2sA3dI/05tj2VPetPMeWvtS+tE+4bDkB0VjQ21YZBp72dORj1vH9PONNW7ORUVgn3fbyPtY8Mpo1Zvt1J9ZN/JVKLUXbkCGceeFCbnDEigqBly9A51LKa/UVkFJbz1qY4QBtc7eZUx5IcqQchOxYMDtot0ucUZpdRmF2Oip00lwTGdnj9kuORpEbRG2HQg9Dvbm2s274PIPU3SPxFewA4eUFwBPj2AO9u4NMd3NuB2QUAs6OBTv19iN2TzvGdaVVJkVlvZsXoFfzz4D9ZfXw1BzIOcCDj9+kAnBQDU/Se/KEcfH47xPp1g8ix/X4HWEWFjsOHHTl1tIhbPV6mrfFMzet39ga3YPAO1ZI371Dw6wVuwVjb9+S0ewnYBV3PfIcl/TcSp07Dc9YsvOc8is65eovugPEdOLE7jbOxeaScyCWom2eN03V274yryZVCSyEnck/Q0+v35X7cnUz8+75BTF2+g2NphTz66UE+nDUAo152jkh1k0mR1CKU/vYbyQ8/glpcjOOAcIJXLEfn2LglA17+4TglFjt9g925PTyo7p33fah97TEZHH5fILay6yyzzRlCfbsQ7BrcqGuQpMtmdIB+d2mP3FNw7FuIj4KUfVCaDbE/aI/zmVy0iUed2tKtpAuxTOXkriSG6l7FKErAVo6xLJcnizO5qzyXrY5mUo0GXFSVbhUWBpVX4ChOUa62YV3uS+TYOuCoy2O471e0880lrSyEbadvoqDch3UFi5ncdTVextPawPDiDFCtUJKlPVIPVrs04ezHtrxnUe1BtO9qJuL5JWS88gpFP28i96OPKPz+e7zn/RW3SZNQdFrS4uLpQNjQQI5sTWHvd4kEhnrU6ELXKTr6+fTjl5RfOJBxoFpSBBDs6cSHswYy/f1d/BqXxfPrjrJ4Wq8Gd8VLrZNMiqSrrnj7DlLmzkWUleHYvz/B776HzqnmeIO6bIxJ57tDqegUeGlyT3S6Ol74SnPh6Ffa9wMfqLYp5YSWFJ11i2NCyIQLj5SkK8szBIb+VXvYKiA1WpvwMes4ZJ6ArFioKNDmPMrWBhUHit246m+g0O5PbHQJPZ02VisyAPhjkQ3a+IJbIPgHgmsgwjWQTb92JcdmxMlFz9R5Y3D318YDtQd8S6x893Y0madhfcqj3Pa3/rh5O4GqQlmutlxOXiJkxWmtsFknIPM4p3OCOJMfhA4rQ3MfxfiFiaDx4ygaOZ+MFWuwpqSQ9tTT5P33U3yffgqncK1bLHxce45tTyUtoYCU2DyCa2ktCvcNr0qKZoXNqrG9T7A77/yhPw9/sp81+5IJ9nRizo2dm7SKpOuLTIqkq6pwwwbO/u1JsFpxHjqUoLeXNjohyiux8Ow32iSLD4/oVPct+AC/fQK2cm1uoqCBVU+rqiAxRltVPMPjFBM7PdO4YCSpORnM0C5Ce5yvogiK0rWkpCwXxVpO72gD23dDNH8ibNIkFINZW3+tjY+WDDl5gb76y/9vG09z+nQCeqOOiY/3x93fpdp2B2cjkx7vyzdv/kZOSjHrl0Yz7W/hOLuZwdlLe/j3rnaMrbiYbS/vAwR9Aw/jTg7kW2DPu7gAzpO6k5s5mJz/HaL86FFOz7wLl7Fj8Zn/BM5BQfQYFsCRLSns+z6RoFpaiyoHWx/IOIBdtaPX1Rx/eHMPX16cFMYL38awZGMsAe4OTO1XT0uy1GrJDlbpqhBCkPuf/2gr3lutuIwbS/DyZY1OiIQQLFgfQ3ZxBV182vD46DqW8wDtVufKrrNBD1YbtJp+qgBbqaBcX0JYzxDczPUkV5LUEphdwKsLhIyAsKnQ9w90nzEVk6OBgkITSfpboPcd0OVm8O9zblB09YQoLaGA3d+eAmDYnV3wCnKp7UyYnYxMnNsHVy8HCrPL+e6dQ1SUXXz6gF0/plKYL3ByMxH+t7/Ck4kwYzX0vB0MDuhyj+Nl+IpOE7JwHxICOh1FGzZwavwEMt94gz6RnugMCmnxBZyNy69RfljbMFyMLhRaCjmSfeSi13HP4A48NDwEgCe/PMy2k1n1/ValVkomRdIVJ6xW0hcuJGPRYm0eounTtbvMGrDA64W+2J/C+nPdZkvu6IODsZ471WK+gfzT4OipvTCf52S0NhNwssdxbgud1uhrkaSWwuRgIGxYAAB7vktE1LGeWHmJlZ8+OIpQBV0G+tJjaECdZTu7mZn0eF8cXU3kpBTz4/LD2Kz2GvudPprD4c3azNKj7u6OycGgTVrZbQLc/iE8EQsT3gTvbhh0BfgHb6fj+AKcuvkjLBZyVn5A+m0TCPHIB2Df94k1zmHQGYgMjARg29ltdV73U2O7MaG3P1a74IF/72dngpzcUapJJkXSFWXPz+fMQw+Rv+ZzUBR8nnwSvxcXNOq2+0pxGUW8sF7rNntiTCh9g93rPkBVYdu5u8kGP6rdVnye4weTASjyT2Og38ALj5aka0r/Me0xORrISSkmbm96rfsIIYj693GK8ypw83Zk5B9DGzQQ2c3biYmP9cHkoCf1ZD4/fRCDzfJ7YpQan8/Gldr/zZ4jAmnfs23NQhzdYeD9MHuXtuxJQH8c2hTRrs8BgsYIzEHeqIWF+Kx/DUW1kXoyn5SYmi08wwKHAbAtpe6kSKdTePPOPozq5kOFTeX+VfvZcyqn3lil1kUmRdIVU3b4MInTbqN0124UJyeClv2Ltn+675LuBikst/Lopwcpt6oM7+rN7BENmGDxxPfa4E+zGwx6qNqmnLQi7LkG7IqdG4cMQqfI/xrStc2hjZHwsdqkpDu/SaC8uObaZwc3nibpcDY6g8ItD/bE5NjwYabe7VwYP7s3eoOOxEPZrHlpL3u+O8XmT47z7T9/w1phJzDUg6F31NOlrdNBt/Hw4Ga4/SMUj3a4eKbRMfIQARP9cGnrQEDaTgC2vfod+V9/g7D93mU3JFBbD/F47nGySuvuFjMb9Cyf2Z8RXb0ps9q5b9U+9iflNjhm6fonX/mlZqeNH/qEpJl3YU1NxdiuHR1Wf4rLqFGXVJ7NrvLY6t+IzyzG19XMm3f2qftuM9DGEm1ZpH0/6EFwqD5e6OdN2vIH6R7xTAubfOHRknRN6n1jEB5+TpQWWPj54xjsNrVq27Htqexep40jGnp7F7zb1T6OqC6BoR5MmNMbJ1cTBVll7P8hieM70lDtgk79fZjwqJY0NYiiQM/b4LH9MOp5FKMZN+eDdBp5ggEDClFUO7lOHTj+6ockjB1H3prPUSsq8HL0opdXLwB+Pv1zvadxMOp57+5whnb2otRi5+4P9/JLnBxjJGkUUTkXvFSlsLAQNzc3CgoKcHV1rf8A6aKsGZmkL1hA8datALjccgv+L7+E3qXxL8CgJVgvfBvDJ7tP42jU88Ujg+kZ2IAB0fs+0JZPcPSEPx8ER4+qTaqq8s/563EodcV+YzJ/nl7z1l5JulZlnSniqyUHsFtV/EJc6R4ZQOrJfGL3aF1q/W5uR+Rtl3ebuqXMRtzedDJOF2Ey6+nYx6vWCRcbJTsevnscTm8HYIv1eY7l9Mej+BR997+BAhi8vfH805/4X28brx5dSh/vPvx3/H8bVHyZxc7D/z3Ar3FZGPUKr9/Rh8l9Ay/vmqWr7nLfv2VSVAuZFF0+IQSF69eT/o9FqIWFKEYjPk8+icddMy9r8rQ3f47j7aiTKAq8e1c4t4T51X9QWT683U+bS2X861pL0Xk27PmFhI/tWHUW7vxHXwI8GlCmJF1DzhzLYcN7R7FWVB8Q3X9se26YHNJyJzRUVfjtP7DxOQrLHFid9S/smBjaNRun9SuwpWuJneLuxtqeRfzUT+HzWRsJbNOw5MZiU5n/xSHWH9KWOXluQnfuH9qx5f4+pHrJpKgZyKTo8liSkkhfvJiSX34FwCEsjIBXFmPuUs/Ygnos2xLPko2xACyY2IP7hnRs2IHfPqbNTeTdDR7ZUe12ZFWoPLdoGYHJYdg75fHnv912WdcoSS1VUW45hzYnk51cjIunmbDhgfh1vEamnchPhvVz2XPIj/0ld+JiKmDG/FBK9sSQs/IDrGe0ZUdsOsiJ7EbEnxfi2Lt3PYVqVFWw8LsY/r3rNAC39Q/iH1N71n8nq9QiyaSoGcik6NKoJSVkv/seuatWIaxWMBrxnjOHtg/cj2K49HlChRC8+XMc72yOB+Cpcd14pCEDqwHiNsLqOwEF7v0BOgyptnnd0e9IWm7EqJq4eW5XuobJSd0kqUUSAuuef7P6EyeK7V6Eu3zDDbf3RPS7j6JNm4hf+TaOx09X7e7QpzeeM2fiMmZMvWsoCiH4cHsii348jiqgT5Ab794djr9b45Yakq4+mRQ1A5kUNY5qsZD/+Vqy338Pe5Y294fz0KH4PvMM5pAGtuZchNWu8vTXR/jygDbfyd9uCW34NP1F6fDecG1tphvmwNhF1TYXWgqZv3QxfRJuRmlbweyXx8pmc0lq4RK2xbDh0wwU7EzzfBq/Lr4w+V9Y3AJ5YOmNRO7MY3isDuXc3Ek6Fxdcx4/H/bZpOPSqe+2z7Sezeeyzg+SXWnF3MrJoai/G9/K/UqFJTUAmRc1AJkUNo5aXU7BuHdnvvlfVt28MCsL36adoM2rUZScYqfllPLb6IAfP5KPXKSya2pPpA9s17GBrOayaAGf3a91mD20FY/VPfQu3vYTDF2G0sbgzbGZneg9rYNmSJF1VP31wlJP7M3E1pHOH53wczMCYv7PcUMGKw+8y0NSFV3JHU/DVV9hS06qOM3XuhPuUKbiMHYspqPZW4eTcUmZ/eoCjZwsBmNY/kAW3huHmZLwSoUmXSSZFzUAmRXWzZmSS99lq8td8jj0/HwCDry9esx/Bfdq0S5qZ+kIbjqbz9NeHySu14uJg4O0Z/bixm0/DDlbt8PWD2qKvDu7a/Cdtq3e3RZ2JYtV/13PDmcmYXBXu+8dwDHIMgSRdEypKrax5eS/FuRUEuyVxq8MT6BSVnI5DGK/PptRexpLhS7il/RhK9+wh/+tvKPrpJ0RFRVUZDmFhuIy9BdexYzEFB1cr32JTWRoVx4qtCagCPJ1NPDWuG7f3D6p/+g/pqpJJUTOQSVFNwmKhePt2CtZ9S9GWLWDVJoIzBgTgee+9uE+/E53ZfNnnSS8o58X1MWyI0VqeegW6seyP/WnXtoFrotlt8M3DcPRL0Blg5pfQ6cZquyQVJPGnbx9kwp4/42B3ZtQ93ekeKZvIJelakpVcxNdLDmCzqIR2KmRU+Wx09lJWtPViuasTgW0C+XrS1zgZtdcOe2Ehhf/bQOGPP1K6b592Z9s55tBQ2gwfhvPQYTj161v1wW5/Ui5Pf32Ek5nFAPQJdmf+mK4M7ewlu9pbKJkUNQOZFGmExULJvn0UR22m8H//w56XV7XNMTwcz1n34DJq1GUNoq5UUGblvV8S+GhHIuVWFYNO4eERIcwd1aXhd4GU5sKX98GprVpCdMcq6D6x2i7ZZdnc/cPd9Dg4hpDcPngGODH9uQj56U+SrkGnorPY8L62blvnXk6MMr2MNXU7E4P8yTQYmO49iOfGfVBt4WcAW3Y2RZuiKNy4gdI9e6slSDpnZ5wG34DzDYNxCu+PrlNnVu0+w1ubTlJ6bimTQR08eXhECCNDfdDL144WRSZFzaC1JkVCCKzJyZTu20fxr9so2b4dtaSkarve2wu3WyfiNnkSDt26Nck5k7JLWLUziS/2J1Ny7gUnvL0HL03uSY+ARvzu46O0id4KksHoBLd9qC0dcJ7komQe/vlhXE62Y3jinej0Crf/34BLmslXkqSWIf5AJj9/GIOqCryD23DLoCPEHF3Ew55aC9E/LE5MGjQPwqaCoWbXvi0vj5Lt2yneto2S7Tuw51Zf9kPXpg2O/fqh9uzNBpsnK9ON5Oi1soM9Hbkroj1T+gXi61r3HW7SldEqkqJly5axZMkS0tPT6dOnD++88w6DBg266P5ffPEFzz//PElJSXTp0oVXX32V8ePHX3T/C7WmpEhYLOR/9RWl+/ZTun8/tszMatv13l64jByJy8034xwZ2SStQpmF5WyMSWf9oVT2Jf3e+hTq68ITY7pycw/fhjdNZ8TA1lfg+HrtZ4+OMONT8A37PUYhiDoTxQs7X8D3bFdGx9+NgsLgqZ3of0v7y45HkqSr62xcHhveP0p5sRWDUcfAsf78WvYiH5YcRS8EL2XlMFFxgT5/gF63g2/PGq1HAEJVKT92nJLt2yjdt5+y335DLS2tsV+ZmyfHnP2JdfEn0dWfVBdv/Lt34eb+7Rne1ZuOXs6ye+0que6Tos8//5x77rmHd999l4iICN566y2++OILYmNj8fGpOfB2586dDB8+nMWLF3PrrbeyevVqXn31VQ4ePEjPnj0bdM5WlRSpKicjh1QNmMZoxLFXL5wiBuFy44049OyJorv0JfJUVXAmt5SY1EL2JeWyMyGbuIziqu2KAiO6enP/0I4N76cvzYXY/8GhzyDp3MrYig4GPQyjngWz1vIjhOBQ1iGWRy9nX8oBBiSPpW/aaADChgcy4g9d5QuXJF0nCrPL2Pyf45yNywfAyc1EeofDrDN8SqmpkNsKi3k8Lx8PVYW2XaDzaAgZCe0ja6yFWEnYbFTExVF64CClBw9QfuwY1tNnLnoNWY5unHX2Js/TF+d2wbTtGExgl3aE9AjBJSig3vmSpMt33SdFERERDBw4kH/961+Atk5VcHAwc+fO5amnnqqx//Tp0ykpKeH777+veu6GG26gb9++vPvuuw06Z2tKigCy/rUMdApO4QNw7NO7wf9xVVVQVGGjoNRKfpmFnBILqfllnM0rIyWvjOS8UuLSi6q6xSopCvQOcmdib38m9Pa/+ARp1jIoSoOCs5AdC5nHIXkvpB8BKv9sFegxGUY8ierTnczSTOLz49mbtpftZ3aQn1ZOh9yedM8cjJNVq8s+o4KJvL2zHEckSdcZIQQndqWz97tTFOdpd5oJRZDe5hRnXU+S55pEbzWJ4ZZk+lWU01ZVAQU8O4JfL/AJA/d24B4MbsHg7K1N5XHehyd7cQkVsScoP36C8uPHsMQnUJ6YhCgsqPf6Sh2csbi4g7s7OncPDJ6emP188Zg9G08nEw5Gnfygdpmu66TIYrHg5OTEl19+yZQpU6qenzVrFvn5+Xz77bc1jmnXrh3z5s3jL3/5S9VzCxYsYN26dRw6dKjW81RUVFBx3q2ahYWFBAcHN3lSlHw8l6TD2uSG5//Ss/PSOH52T63H/L6fUvWTIhREtRIUqiUJNQ9u4D4XObeo/fvz/3IUlGqli+pnQacoVQ+9Tql+OZWFCgGo2lehVj8BgDivRL0RYXDEZjBhEwKbaqPcXo5QBQ62NjhZXGhj8UAvfu/uc/VyYMjtXQjp633xoCVJuubZbSpxe9M5tj2N9FM1kxWbYqHEVIjNUAq6YnS6cnSKHT02dNhBsaModkCgoIBOj6LoURSdliApClD5VXtOZ1MxVqgYy1T0ZSr6ChW9RWC0CoxWFb164VVor29Wg0J0998/GCrnXh61r9oPla98SuW/SvXX14ZoqlzLyeDCwG43N0lZwd086dDbq0nKqnS5SdHlDxBpRtnZ2djtdnx9fas97+vry4kTJ2o9Jj09vdb9089NLlibxYsXs3Dhwsu/4Hpkni7k8JaUWre5M6DZz98amZz0BHT2oMtAHzr180FvuPSuQEmSrg16g47ukQF0jwygMLuMlBN5pMTmkZKYRWmuDYNqwq3CCyrqL6sxBGAB0ANO5x4N4J9X/z4tyeHU2t/HGstg0jd5UnS5WnRSdKU8/fTTzJs3r+rnypaipuYX4kb4uN8H9lY2k2bmnuXImW0XPU65oGGn6seLZP5KrdsUFIUa7Us1Dzy/fAVd1aeWc9+f+/SiKAp6Heh0WuvPxc99YaG1nVcHOr32aUxn0L7XG1EMDtrirTU+4iiVl4dZb8ZB74DZYKaNqQ3uZnfauDrg6GqijbsZl7YOsjlakloxVy9Hegx1pMfQAABUu0pRbgW5uYWk52WSlZdLWVkFFquFCqsVm80GqoKwC4RqR6hWsNsQqhUh7L+3Yp//9cLm9PO+1PhBXNiOXrmH0IoToApxrvFcVDWYi3PHnl+sqO1UF3nmws2X2kXkbHIlovvYSzy6uoCu7k1STlNq0UmRl5cXer2ejIyMas9nZGTg5+dX6zF+fn6N2h/AbDZjboKJB+sT2NWDwK4etWwJYSLDmv38kiRJrZ1Or8PN2xE3b0c64lv/AVKr0qL7EkwmE+Hh4URFRVU9p6oqUVFRDB48uNZjBg8eXG1/gJ9//vmi+0uSJEmSJEELbykCmDdvHrNmzWLAgAEMGjSIt956i5KSEu677z4A7rnnHgIDA1m8eDEAjz/+OCNGjOCNN95gwoQJrFmzhv379/P+++9fzTAkSZIkSWrhWnxSNH36dLKysnjhhRdIT0+nb9++bNiwoWow9ZkzZ9CdN49OZGQkq1ev5rnnnuOZZ56hS5curFu3rsFzFEmSJEmS1Dq16Fvyr5bWNk+RJEmSJF0PLvf9u0WPKZIkSZIkSbpSZFIkSZIkSZKETIokSZIkSZIAmRRJkiRJkiQBMimSJEmSJEkCZFIkSZIkSZIEyKRIkiRJkiQJkEmRJEmSJEkSIJMiSZIkSZIk4BpY5uNqqJzku7Cw8CpfiSRJkiRJDVX5vn2pi3XIpKgWRUVFAAQHB1/lK5EkSZIkqbGKiopwc3Nr9HFy7bNaqKpKamoqLi4uKIpytS+n0QoLCwkODiY5OblVrd3WWuMGGXtrjL21xg2tN/bWGjc0PHYhBEVFRQQEBFRbLL6hZEtRLXQ6HUFBQVf7Mi6bq6trq/uPA603bpCxt8bYW2vc0Hpjb61xQ8Niv5QWokpyoLUkSZIkSRIyKZIkSZIkSQJkUnRdMpvNLFiwALPZfLUv5YpqrXGDjL01xt5a44bWG3trjRuuXOxyoLUkSZIkSRKypUiSJEmSJAmQSZEkSZIkSRIgkyJJkiRJkiRAJkWSJEmSJEmATIquCcuWLaNDhw44ODgQERHB3r17L7rv119/zYABA3B3d8fZ2Zm+ffvyySefVNtHCMELL7yAv78/jo6O3HTTTZw8ebK5w7gkTR37vffei6Io1R5jx45t7jAarTFxn2/NmjUoisKUKVOqPX+91vn5Lhb7tVLn0LjYV61aVSMuBweHavtcK/Xe1HFfr3UOkJ+fz5w5c/D398dsNtO1a1d+/PHHyyrzamnq2F988cUa9d6tW7fGXZSQWrQ1a9YIk8kkPvroIxETEyMefPBB4e7uLjIyMmrdf8uWLeLrr78Wx44dE/Hx8eKtt94Ser1ebNiwoWqfV155Rbi5uYl169aJQ4cOiUmTJomOHTuKsrKyKxVWgzRH7LNmzRJjx44VaWlpVY/c3NwrFVKDNDbuSomJiSIwMFAMGzZMTJ48udq267XOK9UV+7VQ50I0PvaPP/5YuLq6VosrPT292j7XQr03R9zXa51XVFSIAQMGiPHjx4vt27eLxMREsXXrVhEdHX3JZV4tzRH7ggULRFhYWLV6z8rKatR1yaSohRs0aJCYM2dO1c92u10EBASIxYsXN7iMfv36ieeee04IIYSqqsLPz08sWbKkant+fr4wm83is88+a7oLbwJNHbsQ2ovlhW+aLc2lxG2z2URkZKT44IMPasR4vdd5XbELcW3UuRCNj/3jjz8Wbm5uFy3vWqn3po5biOu3zlesWCFCQkKExWJpsjKvluaIfcGCBaJPnz6XdV2y+6wFs1gsHDhwgJtuuqnqOZ1Ox0033cSuXbvqPV4IQVRUFLGxsQwfPhyAxMRE0tPTq5Xp5uZGREREg8q8Upoj9kpbt27Fx8eH0NBQZs+eTU5OTpNf/6W61Lj//ve/4+Pjw/33319j2/Ve53XFXqkl1zlceuzFxcW0b9+e4OBgJk+eTExMTNW2a6HemyPuStdjna9fv57BgwczZ84cfH196dmzJ4sWLcJut19ymVdDc8Re6eTJkwQEBBASEsLMmTM5c+ZMo65NLgjbgmVnZ2O32/H19a32vK+vLydOnLjocQUFBQQGBlJRUYFer2f58uXcfPPNAKSnp1eVcWGZldtaguaIHWDs2LFMmzaNjh07kpCQwDPPPMO4cePYtWsXer2+2eJpqEuJe/v27Xz44YdER0fXuv16rvP6YoeWX+dwabGHhoby0Ucf0bt3bwoKCnj99deJjIwkJiaGoKCga6LemyNuuH7r/NSpU2zevJmZM2fy448/Eh8fz6OPPorVamXBggWX/Lp5pTVH7AARERGsWrWK0NBQ0tLSWLhwIcOGDePo0aO4uLg06NpkUnQdcnFxITo6muLiYqKiopg3bx4hISGMHDnyal9as6sv9hkzZlTt26tXL3r37k2nTp3YunUro0ePvkpXfemKioq4++67WblyJV5eXlf7cq6ohsZ+vdV5pcGDBzN48OCqnyMjI+nevTvvvfceL7300lW8subVkLiv1zpXVRUfHx/ef/999Ho94eHhnD17liVLllQlBterhsQ+bty4qv179+5NREQE7du3Z+3atXW2JJ9PJkUtmJeXF3q9noyMjGrPZ2Rk4Ofnd9HjdDodnTt3BqBv374cP36cxYsXM3LkyKrjMjIy8Pf3r1Zm3759mz6IS9QcsdcmJCQELy8v4uPjW8SLZWPjTkhIICkpiYkTJ1Y9p6oqAAaDgdjY2Ou2zhsSe6dOnWoc19LqHC797/18RqORfv36ER8fD3BN1HtzxF2b66XO/f39MRqN1Vq7unfvTnp6OhaLpUl+n1dCc8RuMplqHOPu7k7Xrl3r/Nu4kBxT1IKZTCbCw8OJioqqek5VVaKioqp9UqqPqqpUVFQA0LFjR/z8/KqVWVhYyJ49expVZnNrjthrk5KSQk5OTrU3jaupsXF369aNI0eOEB0dXfWYNGkSN954I9HR0QQHB1+3dd6Q2GvT0uocmubv3W63c+TIkaq4roV6b464a3O91PmQIUOIj4+vSv4B4uLi8Pf3x2QyNdnrZnNrjthrU1xcTEJCQuPq/bKGaUvNbs2aNcJsNotVq1aJY8eOiYceeki4u7tX3YJ69913i6eeeqpq/0WLFomffvpJJCQkiGPHjonXX39dGAwGsXLlyqp9XnnlFeHu7i6+/fZbcfjwYTF58uQWd5uuEE0fe1FRkZg/f77YtWuXSExMFJs2bRL9+/cXXbp0EeXl5Vclxto0Nu4L1XbnzfVa5xe6MPZrpc6FaHzsCxcuFBs3bhQJCQniwIEDYsaMGcLBwUHExMRU7XMt1HtTx3091/mZM2eEi4uLeOyxx0RsbKz4/vvvhY+Pj3j55ZcbXGZL0RyxP/HEE2Lr1q0iMTFR7NixQ9x0003Cy8tLZGZmNvi6ZFJ0DXjnnXdEu3bthMlkEoMGDRK7d++u2jZixAgxa9asqp+fffZZ0blzZ+Hg4CA8PDzE4MGDxZo1a6qVp6qqeP7554Wvr68wm81i9OjRIjY29kqF0yhNGXtpaakYM2aM8Pb2FkajUbRv3148+OCDLe7FQojGxX2h2pKi67XOL3Rh7NdSnQvRuNj/8pe/VO3r6+srxo8fLw4ePFitvGul3psy7uu5zoUQYufOnSIiIkKYzWYREhIi/vGPfwibzdbgMluSpo59+vTpwt/fX5hMJhEYGCimT58u4uPjG3VNihBCNLxdSZIkSZIk6fokxxRJkiRJkiQhkyJJkiRJkiRAJkWSJEmSJEmATIokSZIkSZIAmRRJkiRJkiQBMimSJEmSJEkCZFIkSZIkSZIEyKRIkiRJkiQJkEmRJEmSJEkSIJMiSZIkSZIkQCZFkiRJkiRJgEyKJEmSJEmSAPh/8eK83G2QNUEAAAAASUVORK5CYII=",
      "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": [
    "group_by = 'race'\n",
    "var = 'gini'\n",
    "df_wide = df.pivot(columns=group_by,values=var)\n",
    "df_wide.plot.density()\n",
    "\n",
    "df_wide.loc[:,['A','B','W']].plot.density() # Focus on Asian, Black, White to clean the plot up"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "d5f01514-86de-4012-8e87-18f3f049122e",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 860
    },
    "id": "d5f01514-86de-4012-8e87-18f3f049122e",
    "outputId": "1c0493d3-15a2-4172-f28f-fa20f5b53259"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "group_by = 'case_type'\n",
    "var = 'bond_arcsinh'\n",
    "df_wide = df.pivot(columns=group_by,values=var)\n",
    "df_wide.plot.density()\n",
    "\n",
    "df_wide.loc[:,['F','M']].plot.density() # Focus on misdemeanor and felony"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ed25b55a-9203-4a33-a199-a7066bc1b353",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 860
    },
    "id": "ed25b55a-9203-4a33-a199-a7066bc1b353",
    "outputId": "796fb9c6-ad2d-4bd5-833a-829086b7ad63"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['prior_F_arcsinh'] = np.arcsinh(df['prior_F'])\n",
    "group_by = 'sex'\n",
    "var = 'prior_F_arcsinh'\n",
    "df_wide = df.pivot(columns=group_by,values=var)\n",
    "df_wide.head()\n",
    "df_wide.loc[:,['M','F']].plot.density()\n",
    "\n",
    "df['prior_M_arcsinh'] = np.arcsinh(df['prior_M'])\n",
    "group_by = 'sex'\n",
    "var = 'prior_M_arcsinh'\n",
    "df_wide = df.pivot(columns=group_by,values=var)\n",
    "df_wide.head()\n",
    "df_wide.loc[:,['M','F']].plot.density()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c7ad606-aa42-45f7-be37-ac8543d1e7c3",
   "metadata": {
    "id": "2c7ad606-aa42-45f7-be37-ac8543d1e7c3"
   },
   "source": [
    "## Grouped Boxplots\n",
    "- Grouping for boxplots is even easier: `df.boxplot(column = var, by = group_by)`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f6dcaff1-4efe-4df9-8c21-2530610e09a2",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "f6dcaff1-4efe-4df9-8c21-2530610e09a2",
    "outputId": "0debc774-6e43-4d4d-98e9-7d5ccbfe660a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'bond_arcsinh'}, xlabel='race'>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column = 'gini',by = 'sex')\n",
    "df.boxplot(column = 'gini',by = 'race')\n",
    "df.boxplot(column = 'bond',by = 'race')\n",
    "df.boxplot(column = 'bond_arcsinh',by = 'race')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ca9cd99-b61a-4210-a5de-8eba59e5549e",
   "metadata": {
    "id": "4ca9cd99-b61a-4210-a5de-8eba59e5549e"
   },
   "source": [
    "## Grouped Descriptions\n",
    "- We can group our calculations like `.describe()` in a similar way to huing or grouping:\n",
    "    1. Use `df.loc[:,[group,var]]` to get the subset of the dataframe you want to analyze\n",
    "    2. Then `.groupby(group).describe()` to apply `.describe()` to `var` for each `group`\n",
    "- Like the grouped kernel densities, this can be a really useful way of adding context to numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2f8744a5-9fa0-41ca-b54d-00a38c8ad04b",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 238
    },
    "id": "2f8744a5-9fa0-41ca-b54d-00a38c8ad04b",
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       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"8\" halign=\"left\">bond</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>case_type</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th>F</th>\n",
       "      <td>3040.0</td>\n",
       "      <td>3158.421711</td>\n",
       "      <td>4448.766214</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>3525.0</td>\n",
       "      <td>160000.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I</th>\n",
       "      <td>6.0</td>\n",
       "      <td>1250.000000</td>\n",
       "      <td>1508.310313</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>750.0</td>\n",
       "      <td>2250.0</td>\n",
       "      <td>3500.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>M</th>\n",
       "      <td>12458.0</td>\n",
       "      <td>972.329363</td>\n",
       "      <td>2089.762114</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>78000.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S</th>\n",
       "      <td>1387.0</td>\n",
       "      <td>2161.847722</td>\n",
       "      <td>3548.012111</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>74962.12</td>\n",
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      "text/plain": [
       "              bond                                                         \\\n",
       "             count         mean          std  min     25%     50%     75%   \n",
       "case_type                                                                   \n",
       "F           3040.0  3158.421711  4448.766214  0.0  1500.0  2500.0  3525.0   \n",
       "I              6.0  1250.000000  1508.310313  0.0     0.0   750.0  2250.0   \n",
       "M          12458.0   972.329363  2089.762114  0.0     0.0     0.0  1500.0   \n",
       "S           1387.0  2161.847722  3548.012111  0.0  1000.0  1500.0  2500.0   \n",
       "\n",
       "                      \n",
       "                 max  \n",
       "case_type             \n",
       "F          160000.00  \n",
       "I            3500.00  \n",
       "M           78000.00  \n",
       "S           74962.12  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var = 'bond'\n",
    "group = 'case_type'\n",
    "df.loc[:,[group,var]].groupby(group).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b78d4e36-86d5-465b-a706-ec220c41048f",
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     "base_uri": "https://localhost:8080/",
     "height": 238
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    {
     "data": {
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       "      <th></th>\n",
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       "      <th>is_poor</th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th>0.0</th>\n",
       "      <td>9450.0</td>\n",
       "      <td>1035.299351</td>\n",
       "      <td>2255.361676</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <th>1.0</th>\n",
       "      <td>6632.0</td>\n",
       "      <td>1999.594260</td>\n",
       "      <td>2828.266454</td>\n",
       "      <td>0.0</td>\n",
       "      <td>500.0</td>\n",
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      "text/plain": [
       "           bond                                                        \\\n",
       "          count         mean          std  min    25%     50%     75%   \n",
       "is_poor                                                                 \n",
       "0.0      9450.0  1035.299351  2255.361676  0.0    0.0     0.0  1500.0   \n",
       "1.0      6632.0  1999.594260  2828.266454  0.0  500.0  1500.0  2500.0   \n",
       "\n",
       "                   \n",
       "              max  \n",
       "is_poor            \n",
       "0.0      74962.12  \n",
       "1.0      61000.00  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
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   "source": [
    "var = 'bond'\n",
    "group = 'is_poor'\n",
    "df.loc[:,[group,var]].groupby(group).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "4661f1b9-ab04-4368-80cb-9b62ac02aaba",
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    {
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       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
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       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>is_poor</th>\n",
       "      <th>case_type</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
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       "      <th rowspan=\"4\" valign=\"top\">0.0</th>\n",
       "      <th>F</th>\n",
       "      <td>1015.0</td>\n",
       "      <td>3270.444335</td>\n",
       "      <td>3727.062229</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>50000.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I</th>\n",
       "      <td>3.0</td>\n",
       "      <td>833.333333</td>\n",
       "      <td>1443.375673</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1250.0</td>\n",
       "      <td>2500.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>M</th>\n",
       "      <td>7883.0</td>\n",
       "      <td>679.544050</td>\n",
       "      <td>1611.456941</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>62195.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S</th>\n",
       "      <td>539.0</td>\n",
       "      <td>2027.332319</td>\n",
       "      <td>3581.322416</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>74962.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.0</th>\n",
       "      <th>F</th>\n",
       "      <td>1940.0</td>\n",
       "      <td>3028.917526</td>\n",
       "      <td>3301.773144</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>3500.0</td>\n",
       "      <td>50000.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I</th>\n",
       "      <td>3.0</td>\n",
       "      <td>1666.666667</td>\n",
       "      <td>1755.942292</td>\n",
       "      <td>0.0</td>\n",
       "      <td>750.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>3500.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>M</th>\n",
       "      <td>3948.0</td>\n",
       "      <td>1428.168303</td>\n",
       "      <td>2153.318028</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>58529.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S</th>\n",
       "      <td>733.0</td>\n",
       "      <td>2357.845389</td>\n",
       "      <td>3723.688027</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>1500.0</td>\n",
       "      <td>2500.0</td>\n",
       "      <td>61000.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     bond                                                 \\\n",
       "                    count         mean          std  min     25%     50%   \n",
       "is_poor case_type                                                          \n",
       "0.0     F          1015.0  3270.444335  3727.062229  0.0  1500.0  2500.0   \n",
       "        I             3.0   833.333333  1443.375673  0.0     0.0     0.0   \n",
       "        M          7883.0   679.544050  1611.456941  0.0     0.0     0.0   \n",
       "        S           539.0  2027.332319  3581.322416  0.0  1000.0  1500.0   \n",
       "1.0     F          1940.0  3028.917526  3301.773144  0.0  1500.0  2500.0   \n",
       "        I             3.0  1666.666667  1755.942292  0.0   750.0  1500.0   \n",
       "        M          3948.0  1428.168303  2153.318028  0.0     0.0  1000.0   \n",
       "        S           733.0  2357.845389  3723.688027  0.0  1000.0  1500.0   \n",
       "\n",
       "                                     \n",
       "                      75%       max  \n",
       "is_poor case_type                    \n",
       "0.0     F          4000.0  50000.00  \n",
       "        I          1250.0   2500.00  \n",
       "        M          1000.0  62195.75  \n",
       "        S          2500.0  74962.12  \n",
       "1.0     F          3500.0  50000.00  \n",
       "        I          2500.0   3500.00  \n",
       "        M          2000.0  58529.22  \n",
       "        S          2500.0  61000.00  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
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    }
   ],
   "source": [
    "# You can .groupby multiple variables at once:\n",
    "df.loc[:,['is_poor','case_type','bond']].groupby(['is_poor','case_type']).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46a89719-5789-4b13-a7d9-9e050442b12e",
   "metadata": {
    "id": "46a89719-5789-4b13-a7d9-9e050442b12e"
   },
   "source": [
    "## Exercise (Grouping)\n",
    "- For the `sentence` and `sentence_arcsinh` variables, create grouped kernel density, boxplot, and descriptive statistics for a categorical variable in the data (e.g. `case_type`, `sex`, `race`)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e7fd5ac-c017-48ed-908d-6f6b034aad5a",
   "metadata": {
    "id": "6e7fd5ac-c017-48ed-908d-6f6b034aad5a"
   },
   "source": [
    "## Conclusion\n",
    "- These graphs are not very aesthetically pleasing -- you wouldn't put them in a publication or on your web page, probably\n",
    "- But they are very quick to make, and it all happens inside Pandas, instead of moving on to other packages\n",
    "- You'll find that if you want pretty plots, you need a complex Application Programming Interface (API), and the more complex the API, the more specialized the skills become\n",
    "- MatPlotLib and Seaborn provide very nice plots (and ggplot2), but ask you to train your mind to think more specifically on their terms\n",
    "- Now is probably a good time to start thinking about the first project"
   ]
  }
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