section-KP/section1-KP-answers.ipynb

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      "source": [
        "# API-202M ABC SECTION #1\n",
        "###### TF: Kelsey Pukelis"
      ],
      "metadata": {
        "id": "jX3Jfe-X8rv6"
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      "source": [
        "**I - INSTRUCTIONS**  \n",
        "\n",
        "1. **Create a copy of this Jupyter notebook in your own drive by clicking `Copy to Drive` in the menubar (this is explained below in more detail below) - *if you do not do this your work will not be saved!***\n",
        "    1. Remember to save your work frequently by pressing `command-S` or clicking `File > Save` in the menubar.\n",
        "    1. We recommend completing this in Google Chrome."
      ],
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      "cell_type": "markdown",
      "source": [
        "## Part I: regression by hand (and in reverse)"
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        "Hint: Note that the following formulas apply:\n",
        "\n",
        "$\\hat \\beta_1 = \\frac{\\Delta Y }{\\Delta X}$ (Change in Y divided by Change in X)\n",
        "\n",
        "$\\hat u_i = Y_i - \\hat Y_i $ (The residual for each observation)\n",
        "\n",
        "*Note: You may use R to do the calculations as long as you do not use the built-in regression function. Alternatively, you can calculate them by hand or using Excel.*"
      ],
      "metadata": {
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    {
      "cell_type": "markdown",
      "source": [
        "**0a. Write the Sample Regression Function for generic variables $X$ and $Y$ (the version without a residual).**"
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        "Your Answer Here\n",
        "\n",
        "#### START\n",
        "\n",
        "$$\n",
        "\\hat{Y} = \\hat{\\beta}_0 + \\hat{\\beta_1} \\cdot X\n",
        "$$\n",
        "\n",
        "#### END"
      ],
      "metadata": {
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    },
    {
      "cell_type": "markdown",
      "source": [
        "**0b. Rearrange the equation above to have an equation: $\\hat{\\beta}_0 = $ ...**"
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      "source": [
        "Your Answer Here \n",
        "\n",
        "#### START \n",
        "\n",
        "$$\n",
        "\\hat{\\beta}_0 = \\hat{Y} - \\hat{\\beta}_1 \\cdot X\n",
        "$$\n",
        "\n",
        "#### END"
      ],
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    {
      "cell_type": "markdown",
      "source": [
        "*Note: You may find it especially helpful for the rest of this exercise to hand-draw a picture.*"
      ],
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      "cell_type": "markdown",
      "source": [
        "Suppose you were given two points on a regression line:\n",
        "\n",
        "$$\n",
        "(X_A,\\hat{Y}_A) = (2,2)\n",
        "$$\n",
        "\n",
        "$$\n",
        "(X_B,\\hat{Y}_B) = (4,3)\n",
        "$$\n",
        "\n"
      ],
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      "cell_type": "markdown",
      "source": [
        "**1. Calculate $\\hat{\\beta}_1$.**"
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        "# Code block for calulations\n",
        "\n",
        "# START\n",
        "\n",
        "# Option 1: just using numbers\n",
        "beta_1_hat_num <- (3-2) / (4-2)\n",
        "beta_1_hat_num\n",
        "\n",
        "# Option 2: using objects\n",
        "X_A <- 2\n",
        "Y_A_hat <- 2\n",
        "X_B <- 4\n",
        "Y_B_hat <- 3\n",
        "\n",
        "beta_1_hat <- (Y_B_hat - Y_A_hat) / (X_B - X_A)\n",
        "beta_1_hat\n",
        "\n",
        "# END"
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        "**2. Calculate $\\hat{\\beta_0}$.**"
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        "# Code block for calculations\n",
        "\n",
        "# START \n",
        "\n",
        "# Option 1a: just using numbers and the \"A\" point\n",
        "beta_0_hat_1a <- 2 - 2 * 0.5\n",
        "beta_0_hat_1a\n",
        "\n",
        "# Option 1b: just using numbers and the \"B\" point\n",
        "beta_0_hat_1b <- 3 - 4 * 0.5\n",
        "beta_0_hat_1b\n",
        "\n",
        "# Option 2a: using objects and the \"A\" point\n",
        "beta_0_hat_2a <- Y_A_hat - beta_1_hat * X_A\n",
        "beta_0_hat_2a\n",
        "\n",
        "# Option 2b: using objects and the \"B\" point\n",
        "beta_0_hat <- Y_B_hat - beta_1_hat * X_B\n",
        "beta_0_hat\n",
        "# END"
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        "Suppose someone tells you that there is a third observation, where $X_C = 7$ "
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      "cell_type": "markdown",
      "source": [
        "**3. Calculate $\\hat{Y}_C$.**"
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      "source": [
        "# Code block for calculations\n",
        "\n",
        "# START\n",
        "# Option 1: using numbers \n",
        "Y_C_hat_num <- 1 + 0.5 * 7\n",
        "Y_C_hat_num\n",
        "\n",
        "# Option 2: using objects\n",
        "X_C <- 7\n",
        "Y_C_hat <- beta_0_hat + beta_1_hat * X_C\n",
        "Y_C_hat\n",
        "\n",
        "# END"
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      "source": [
        "Now suppose someone gives you 3 points from the actual, observed data: \n",
        "\n",
        "$$\n",
        "(X_A,Y_A) = (2,1)\n",
        "$$\n",
        "$$\n",
        "(X_B,Y_B) = (4,5)\n",
        "$$\n",
        "$$\n",
        "(X_C,Y_C) = (7,3.5)\n",
        "$$\n"
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      "cell_type": "markdown",
      "source": [
        "**4. Calculate $\\hat{u}_A$, $\\hat{u}_B$, and $\\hat{u}_C$.**"
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      "source": [
        "# Code block for calculations\n",
        "\n",
        "# START \n",
        "# Option 1: using numbers \n",
        "u_A_hat_num <- 1 - 2\n",
        "u_B_hat_num <- 5 - 3\n",
        "u_C_hat_num <- 3.5 - 4.5\n",
        "u_A_hat_num\n",
        "u_B_hat_num\n",
        "u_C_hat_num\n",
        "\n",
        "# Option 2: using objects\n",
        "Y_A <- 1\n",
        "Y_B <- 5\n",
        "Y_C <- 3.5\n",
        "u_A_hat <- Y_A - Y_A_hat\n",
        "u_B_hat <- Y_B - Y_B_hat\n",
        "u_C_hat <- Y_C - Y_C_hat\n",
        "u_A_hat\n",
        "u_B_hat\n",
        "u_C_hat\n",
        "\n",
        "# END "
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      "source": [
        "# START \n",
        "\n",
        "# Here is the kind of picture you should have drawn.\n",
        "\n",
        "X <- c(2,4,7)\n",
        "Y <- c(1,5,3.5)\n",
        "Y_hat <- c(2,3,4.5)\n",
        "  \n",
        "data <- data.frame(X,Y,Y_hat)\n",
        "#head(data)\n",
        "\n",
        "library(ggplot2)\n",
        "\n",
        "# Note: By the end of this section / problem set 1, you should be able to create this graph in R.\n",
        "# the next four lines are essential to creating this graph\n",
        "ggplot(data = data) + \n",
        "  geom_point(aes(x = X,y = Y),color = \"red\") + \n",
        "    geom_point(aes(x = X,y = Y_hat),color = \"blue\") + \n",
        "      geom_smooth(aes(x = X,y = Y_hat),method = \"lm\",se = FALSE,formula = y ~ x,color = \"gray\",fullrange = TRUE) +\n",
        "        # the rest is to help with formatting\n",
        "      scale_x_continuous(limits = c(0,8), expand = c(0,0)) + \n",
        "        scale_y_continuous(limits = c(0,6), expand = c(0,0)) + \n",
        "        theme_bw()\n",
        "\n",
        "# END"
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BiIx+PtXNTpCHYAAKA1ZDIZWZZLpZI+\noag7gWAHAACsrm5Rx4m60wh2AADA0vb29mRZLpfL+sTj8cTj8aGhIRO3siaCHQAAsCiKultF\nsAMAAFZ0uqjzer2xWIyirgGCHQAAsJZqtbqwsLC1tWUcDg0NxeNxj8dj1lYtgWAHAABMJkmO\nRx91/PM/B3p7hfvv37vjDrlS+YGiLh6PDw4OmrhhqyDYAQAAM33nO4677nIUi46uLvW1r03H\nYhuVyov/SlF3Swh2AADATA895CgWHT/+43vvfrfc309RdyHWCnaVSsX48iA4QdM0VVW5RI1V\nq1WHw1GpVGq1mtm7WJqmadxLjSmK4vj/dxQaUFW1VCoJgmD2ItalqqrD4VAUhU+606pVhyy7\n/9t/S73mNdvG+dLS8BvfOOlyubhoRmd+RbJWsHM4HHxpOBOXqDH9+nChzsQlauz4+giCwIU6\nE1fpPLhKdR0c7H3+80s9PS/mld3djsceS/zIj/Tcey8/Vp105i1krWDn9Xp9Pp/ZW1iXqqqV\nSoVL1NjxVfJ6vV6v1+xdLK1QKHAvNVYul0ulktvt5kI1ViqVOjo6nE6n2YtY13FX53K5uJeM\nKpVKKpXa2dnp6Xlx+PTTQ489Fs9mPY884vD5XOZtZ1Eu1xnXxFrBDgAAtIMbN27Mz88bf7G4\nvd3x2GPic8/1ORyOX/91xz33mLdcKyPYAQCAq6MXdcZhd/fI//7fMZ9PeN3r1Ne9zvmWt5i1\nXcsj2AEAgCuyvb2dSqWMRZ3P5xNFsbe39xWvcGSzWZ/P5/Hwa/3bR7ADAABNVy6XZVne29sz\nDsfGxqLR6JnnxnB+BDsAANBcDYo6E7eyJYIdAABolnK5LElSJpPRJ4IgjI2NzczMUNQ1A8EO\nAAA0xcbGRjqdPv5b38f8fr8oij3GP3CCS0WwAwAAl6xUKsmybCzqHA5HOByenZ2lqGsqgh0A\nALhMGxsbCwsLxtd1pKi7MgQ7AABwOUqlkiRJ+/v7+kQQhNHRUYq6K0OwAwAAF6Vp2vr6+uLi\norGo6+zsnJubC4VCJi7Wbgh2AADgQorFoiRJBwcH+kQQhImJiUgkwosIXzGCHQAAuH2nT9QF\nAgFRFCnqTEGwAwAAt6NQKEiSdHh4qE8EQZicnJyenqaoMwvBDgAA3BpN0zY3N08XdXNzc11d\nXSYuBoIdAAC4BZyoszKCHQAAOBeKOusj2AEAgLPl83lJko6OjvQJRZ0FEewAAEAjmqZdv359\neXlZVVV92NXVJYpiMBg0cTGcRrADAAA3RVHXWgh2AACgDk3TVldXl5aWjEVdMBicm5ujqLMs\ngh0AADgpn88nk8lsNqtPnE7n8d+oEwTBxMXQGMEOAAC8qG5RFwqF5ubmOjs7TVwM50GwAwAA\n35fNZiVJyuVy+sTpdEYikYmJCYq6lkCwAwAA9Yu67u5uURQp6loIwQ4AgHaXzWaTyWQ+n9cn\nLpcrEomMj49T1LUWgh0AAO1LVdXl5eXr169rmqYPe3p6RFH0+/0mLobbQ7ADAKBNHR0dJZPJ\nQqGgTzhR1+oIdgAAtB1VVZeWllZXV41FHSfqbIBgBwBAezk8PJQkyVjUuVyu6elpijobINgB\nANAuarXa0tLS2tqasajr7e0VRdHn85m4GC4LwQ4AgLZwcHAgSVKxWNQnbrc7Go2Gw2ETt8Ll\nItgBAGBzdU/U9fX1JRIJijqbIdgBAGBndYu62dnZ0dFRE7dCkxDsAACwp1qttry8fLqoE0Wx\no6PDxMXQPAQ7AABsiBN17YlgBwCArSiKkk6nNzY2jMOBgYF4PE5RZ3sEOwAA7COTyciyXCqV\n9AlFXVsh2AEAYAeKoiwsLGxubhqHAwMDiUTC6/WatRWuGMEOAICWt7e3J8tyuVzWJx6PJx6P\nDw0NmbgVrh7BDgCAFlb3RF1/f38ikeBEXRsi2AEA0KpOF3VerzcajY6MjJi4FUxEsAMAoPXU\nLeqGhobi8bjH4zFrK5iOYAcAQIvZ3d2VZblSqegTr9cbj8cHBwdN3ApWQLADAKBlVKvV+fn5\nGzduGIfDw8OxWIyiDg6CHQAAraLuiTqKOhgR7AAAsLpqtZpKpba3t43DkZGRWCzmdvOtHC/i\nbgAAwNK2t7dTqVS1WtUnXq83kUgMDAyYuBWsiWAHAIBFVSqVVCq1s7NjHPLUVzRAsAMAwIpu\n3LgxPz9vLOo6OjpEUezr6zNxK1gcwQ4AAGupW9Rxog7nwf0BAICFbG1tzc/PK4qiT3w+nyiK\nvb29Jm6FVkGwAwDAEsrlsizLe3t7xuHY2Fg0GnW5XGZthdZCsAMAwHynn/pKUYfbQLADAMBM\nlUpFluXd3V3jMBwOz87OUtThVhHsAAAwzfb2tizLnKjDZSHYAQBgglKpJMtyJpPRJ4IgjI+P\nRyIRijrcNoIdAABXbX19PZ1O12o1fdLZ2SmKYnd3t4lbwQacV/MwX//61++5555nn332ah4O\nAABrKpVK3/nOd1KplJ7qBEEIh8OvfOUrSXW4uKto7A4ODr7whS94vd4reCwAACxrbW1tcXHx\nRFE3NzcXCoVM3Ap2chXB7oknnnjNa17z93//91fwWAAAWFC1Wl1ZWTk6OtIngiCMjY3NzMxw\nog6XqOm/in3mmWfS6fS9997b7AcCAMCatra2UqmUMdUFAoFXvOIVsViMVIfL1dzGLpfLPfHE\nE+9617t8Pt/pf/3mN7/58MMP629Go9Gjo6MTf8gHp3GJzsP4BRQ3w710Hvl8Pp/Pm72F1Rmf\n2gmjSqWytrZmvIUEQRgYGBgeHq5UKnwOnlYul81ewdKq1aqmaQ3eobnB7vOf//wrXvGKl7/8\n5XX/taura25uTn9TURSn08nLGzdWq9X48a4xVVVVVXW5XIIgmL2LpSmKwqdbY8f3ktPpdDqv\n6HlmLYqvS3Vpmrazs7OxsWH8Nuzz+aampjo7O01czMpqtZrT6eSrdwONU52jqcHuO9/5zvPP\nP//pT3/6Zu/wyle+8k//9E/1Nx944IFgMNjT09O8lVqdqqrZbJanTTVWKBQKhUIgEOD5Oo1l\nMhk+3Rorl8vZbNbv9/v9frN3sbSDg4NQKET8NSoUCpIkHR4e6hNBEEZHR2OxGBeqgWw26/P5\nPB6P2YtYV7VabRx8mxjs/vZv/zafzz/44IPHb+ZyuU9+8pMvf/nLH3nkkeY9KAAAJtI0bX19\n/fRTX8PhcG9vL6kOzdbEYPfggw/ef//9+pvvete7rl279mM/9mPNe0QAAEyUz+clSTrx1NeJ\niYmJiQkO/uJqNDHYdXV1dXV16W8KgtDV1cWf6gEA2I+maaurq0tLS6qq6sNgMCiKYldXl/Gl\nYIGmurqj00899dSVPRYAAFfmZkVdJBLhd6+4YjwnDgCA26Rp2srKysrKirGoC4VCoigGAgET\nF0PbItgBAHA78vl8MpnMZrP6xOl0RiKRiYkJ/mAHzEKwAwDg1qiqelzUGf+oWHd3tyiK/I06\nmItgBwDALchms5Ik5XI5feJ0OmdmZsbHxynqYDqCHQAA51L3qa8UdbAUgh0AAGfL5XLJZPJE\nUceJOlgNwQ4AgEY4UYcWQrADAOCmjo6OkslkoVDQJy6Xa2ZmZmxsjKIOFkSwAwCgDlVVl5aW\nVldXjUVdb29vIpHw+/0mLgY0QLADAOCkw8NDSZJOFHXT09OcqIPFEewAAHhRrVZbWlpaW1s7\nUdSJoujz+UxcDDgPgh0AAN93uqhzu93RaDQcDpu4FXB+BDsAAOqfqOvr60skEhR1aCEEOwBA\nu9vf35dluVgs6hO32z07Ozs6OmriVsBtINgBANpXrVZbXl4+XdSJotjR0WHiYsDtIdgBANrU\n/v6+JEmlUkmfuN3uWCw2MjJi4lbARRDsAABtR1GUdDq9sbFhHA4MDCQSCa/Xa9ZWwMUR7AAA\n7SWTyciyfKKo46mvsAeCHQCgXdQt6vr7+xOJBCfqYA8EOwBAW8hkMpIklctlfUJRB/sh2AEA\nbE5RlPn5+a2tLeNwaGgoFotxog42Q7ADANjZ7u5uKpUyFnVerzcejw8ODpq4FdAkBDsAgD3V\nPVE3NDQUj8c9Ho9ZWwFNRbADANjQzs5OKpWqVCr6hKIO7YBgBwCwFYo6tDOCHQDAPjhRhzZH\nsAMA2EGlUkmlUjs7O8bhyMhILBZzu/lmh3bBvQ4AaHnb29upVKpareoTr9ebSCQGBgZM3Aq4\negQ7AEALq1vUjY6Ozs7OUtShDXHTAwBa1Y0bN+bn541Fnc/nSyQSfX19Jm4FmIhgBwBoPXWL\nunA4HI1GKerQzrj7AQAt5vSJOp/PJ4pib2+viVsBVkCwAwC0jEqlIsvy7u6ucRgOh2dnZ10u\nl1lbAdZBsAMAtIbNzc2FhQVFUfSJ3+9PJBIUdYCOYAcAsDqKOuCcCHYAAEvb2tqan583FnWc\nqANuhmAHALCoUqkkSdL+/r4+EQRhfHw8EolQ1AF1EewAAFa0sbGxsLBQq9X0id/vF0Wxp6fH\nxK0AiyPYAQCspW5Rd/xiEhR1QGMEOwCAhVDUARdBsAMAWEKxWJQk6eDgQJ8IgjAxMRGJRJxO\np4mLAS2EYAcAMJmmaWtra0tLS8aiLhAIiKIYCoVMXAxoOQQ7AICZKOqAS0SwAwCY47ioW1xc\nVFVVHwaDQVEUu7q6TFwMaF0EOwCACSjqgGYg2AEArpSmaevr64uLiydO1M3NzVHUARdEsAMA\nXJ18Pi9J0tHRkT5xOp1TU1NTU1OCIJi4GGAPBDsAwFXQNG11dXVpaenEibq5ublgMGjiYoCd\nEOwAAE2Xz+eTyWQ2m9UnTqdzenp6cnKSog64RAQ7AEATaZq2srKysrJiLOpCoZAoioFAwMTF\nAFsi2AEAmqVuUReJRCYmJijqgGYg2AEALl/dE3WhUGhubq6zs9PExQB7I9gBAC5ZLpeTJImi\nDrh6BDsAwKVRVXV5efn69euapunD7u5uURQp6oArQLADAFyOo6MjSZLy+bw+cblcMzMzY2Nj\nFHXA1eBlWwAAF6Wqajqdfv75542prru7+5WvfOX4+DipDmf7xjccd98dHB52T0873vY2x96e\n2Qu1Kho7AMCFFAoFWZYLhYI+OS7qxsfHTdwKreQb33D8zM84HA7B4XAUi47PfMbxrW85/s//\ncXi9Zm/WemjsAAC36bioS6VSxlTX3d39qle9ilSHW/COd5ycfPvbjj/5ExM2aX3WauxKpVIu\nlzN7C+vSNK1Wq3GJGlMUxeFwlEqlSqVi9i6Wpmka91Jjxy9RXy6Xja9VD10ul1taWiqVSvrE\n5XKFw+Hh4WG+Up1w/DdfqtUql6WOcjn4f//v6XH12WfL99579etYXLVabfwO1gp2Ho+no6PD\n7C2s6zjYcYka0zRNURS32+3xeMzexdLK5TL3UmPVarVarbrdbi7UCbVa7fr16xsbG8anvvb2\n9s7OznKt6qrVapVKxeVycX3qcLsdXq/j1I/irq4uLtdpTucZv2u1VrBzuVx8M25AVVVBELhE\njR3/NEOwOxP30pmOWxa+Lp1weHgoSdKJE3XRaHRsbMzErSzu+OkjTqeTe6kOj8fxS7/k+O//\n/cTY+frXO7lct85awQ4AYFm1Wm1xcXF9fd1Y1PX19YXD4f7+fhMXQ8v7oz9yPP+8Y2npxcl/\n/a+Of/fvzFuohRHsAABn29/fl2W5WCzqE7fbPTs7Ozo6enBwYOJisIPhYcd3v+v4/Oer//RP\nrsFB56/8CqnuthHsAACN1Gq15eXl1dVVY1HX39+fSCQ4AoVL09npePvbS//xP/p8Pn4DexEE\nOwDATR0cHEiSdKKoi0aj4XDYxK0A3AzBDgBQh6Io6XR6Y2PDOKSoAyyOYAcAOCmTyUiSVC6X\n9YnH44nFYsPDwyZuBeBMBDsAwIsURVlYWNjc3DQOBwcH4/G4l9d3AiyPYAcA+L7TRR0n6oDW\nQrADADgURZmfn9/a2jIOh4aG4vE4f1MXaCEEOwBod3t7e7IsG4s6r9cbj8cHBwdN3ArAbSDY\nAUD7qvvUV4o6oHUR7ACgTVHUAfZDsAOAtkNRB9gVwQ4A2sv29vb8/HylUtEnHR0d8Xh8YGDA\nxK0AXAqCHQC0i0qlkkqldnZ2jMORkZFYLOZ28+0AsAM+kwGgLWxvb6dSqWq1qsjqrzsAACAA\nSURBVE+8Xm8ikaCoA+yEYAcANle3qONEHWBLBDsAsLPTRR0n6gAbI9gBgD2Vy+VUKrW7u2sc\nhsPhaDTKiTrArvjcBgAbOl3U+Xw+URR7e3tN3ApAsxHsAMBWKpWKLMuni7rZ2VmXy2XWVgCu\nBsEOAOxjc3NzYWFBURR94vf7RVHs6ekxcSsAV4ZgBwB2QFEHwEGwAwAb2Nramp+fP1HUJRIJ\nTtQB7YZgBwAtrFQqSZK0v79vHFLUAW2LYAcArWp9fT2dTtdqNX3S2dkpimJ3d7eJWwEwEcEO\nAFpPsViUZdlY1AmCMDExEYlEnE6niYsBMBfBDgBazMbGxsLCgrGo46mvAI4R7ACgZRSLRUmS\nDg4O9IkgCJOTk9PT0xR1ABwEOwBoFaeLukAgIIpiKBQycSsAlkKwAwCrq1vUcaIOwGkEOwCw\nLk3TVldXl5aWVFXVh8FgUBTFrq4uExcDYE0EOwCwKIo6ALeKYAcAlnOzom5ubi4YDJq4GACL\nI9gBgLXk83lJko6OjvSJ0+mcmpqampoSBMHExQBYH8EOAKyCog7ABRHsAMAS8vl8MpnMZrP6\n5PhE3czMDEUdgHMi2AGAySjqAFwWgh0AmCmXyyWTyVwup0+cTmckEpmYmKCoA3CrCHYAYA5V\nVVdWVlZWVjRN04fd3d2iKHZ2dpq4GIDWRbADABNQ1AFoBoIdAFwpVVWXl5evX79+oqibm5vz\n+/0mLgbABgh2AHB1KOoANBXBDgCugqqqS0tLq6urnKgD0DwEOwBousPDQ0mSCoWCPnG5XNFo\ndGxszMStANgPwQ4AmqhuUdfT0yOKIifqAFw6gh0ANAtFHYArRrADgMtXq9UWFxfX19eNRV1f\nX18ikfD5fCYuBsDeCHYAcMlOF3VutzsajYbDYRO3AtAOCHYAcGlqtdry8vKJE3V9fX2iKHZ0\ndJi4GIA2QbADgMtxeHiYTCaLxaI+oagDcMUIdgBwUbVaLZ1Or6+vG4f9/f2JRIKiDsBVItgB\nwIVkMhlZlkulkj5xu92xWGxkZMTErQC0J4IdANwmRVHS6fTGxoZxSFEHwEQEOwC4HZlMRpKk\ncrmsTzweTywWGx4eNnErAG2OYAcAt4aiDoBlEewA4Bbs7e3Jsmws6njqKwDrcDb4tw984AOV\nSuXKVgEAK1MURZblf/3XfzWmuqGhoVe/+tWkOgAW0aix+/CHP/yXf/mXn/vc537iJ37i9j76\n6urqF77whWQyqWlaJBL5jd/4DVEUb+9DAcDVK5eFQMDhqFfUeb3eeDw+ODho2nIAcEqjxu5P\n/uRPdnd3f/Inf/J3fud3stnsrX5oRVHe//73BwKBj33sY5/4xCcGBwc/9KEPGf90JwBYk6I4\nPv5xx8yMd3y8/447XF/60vdOFHXDw8M/+qM/SqoDYDWNgt19990nSdIDDzzwmc985iUvecnX\nvva1W/rQ+Xz+l3/5lx988MGxsbHR0dE3vOEN+Xx+c3PzYgsDQNN94AOOhx92bGwIP/mTOx//\n+LdGRm7o/+T1el/2spe95CUv8Xg8Jm4IAHWd8eSJvr6+z33uc/fff/9DDz10zz33vPGNb/zD\nP/zDcz6Zv7u7+3Wve93xf89ms1/96lfHx8cnJib0dygWi5lMRn9T0zRVVWu12q3/X9EuVFXV\nNI1L1Jiqqsf/yYVqjHvpZm7ccPze77m6upT/9J/Sv/iLP/DU18HBwdnZWY/Hw6UzOr6XjC+P\nixOOvy7xSXcmksCZzrw453pW7F133fXP//zPjz/++Pve976vfOUrXq/X+K+5XK7B/1ZV1Te8\n4Q3VavWlL33po48+avwZ99lnn3344Yf1N6PRaC6X29/fP89K7YxLdB6Nb0sc416q65/+yXP3\n3eX/8l9SPT1VfZjJePP5yZe9zM+tVdfh4aHZK7SAcrls/IU+6uJZm41Vq9XGP0Sd98+dbGxs\n/MM//EO1Wo3FYrf0/C+n0/kHf/AH+/v7f/VXf/W+973vE5/4RDAYPP6noaGhn/3Zn9Xfc3V1\n1ePx8FegGtA0TVEUfgHUmKIotVrN4/E4nY1OGqBSqZz4IQ0Oh6Narfb0LH/gAxnj8Omnhx57\nLP7EE0pHh2LWYlZWrVbdbrcgCGYvYl2qqlarVZfL5XbzV8YaURTF6XTy1buBMy/O2XeYoiiP\nP/74Bz/4QU3TPvaxj7373e92uVy3tMT4+Pj4+Pgdd9xx7733Pv3006997WuP53fcccfv/u7v\n6u/2wAMP+P3+rq6uW/rgbUVV1Ww2yyVqrFAoFAoFv99Pamksk8lwL51w48aN+fl5h+PFom5n\np+MTn0g891z/wIDj3/97DxesroODg2AwyDfjBhRFOTg48Hg8erWBurLZrM/no79ooFqtNv4h\n6ozPw2efffbOO+98+OGH77rrrn/7t397+OGHz5/q/uVf/uWtb32rXjsLgsBPKgCsqVKpfPe7\n3/3e975Xrb6Y6p5+eui3futVzz3XHww6nnrK0dNj4oIAcC6NktZDDz302c9+tq+v7wtf+MK1\na9du9UPHYrFSqfT444/fe++9Ho/na1/7WqlUuvPOOy+wLQBcvuOizhjpfD5fOJx4/vnQm96k\nRCKO++7zjI2ZuCAAnFejYPfEE0/8+q//+uOPPz4wMHAbHzoYDD766KNPPvnke97zHkEQJicn\n3//+94+MjNzuqgBwycrlciqV2t3dNQ7D4fDs7KzL5frP/7mczeYCgYDfzy+GALSGRsHub/7m\nb37+53/+Ih99amrqgx/84EU+AgA0yfb2diqVOlHUiaLY29tr4lYAcBGNgt0FUx0AWFOlUpFl\n+WZFnVlbAcDF8WwGAO2Fog6AjRHsALSLUqkky7LxBW8EQRgbG5uZmaGoA2APBDsAbWFjYyOd\nTivKi39h2O/3z83NdXd3m7gVAFwugh0AmyuVSpIkGV8/TRCE0dFRTtQBsB+CHQA7W19fT6fT\nxpfN7uzsFEWRog6ALRHsANgTRR2ANkSwA2BDGxsbCwsLxqIuEAiIohgKhUzcCgCajWAHwFaK\nxaIkSQcHB/rk+JVvpqeneZV6ALZHsANgHxR1ANocwQ6AHRQKBUmSDg8P9YkgCFNTU1NTUxR1\nANoHwQ5Aa9M0bXV1dWlpSVVVfRgMBkVR7OrqMnExALh6BDsALazuibqJiYlIJEJRB6ANEewA\ntCSKOgA4jWAHoPXk83lJko6OjvQJRR0AOAh2AFqLpmkrKysrKyvGoq6rq2tubi4QCJi4GABY\nAcEOQMvI5XKSJGWzWX3idDqnp6cnJycFQTBxMQCwCIIdgBZQ90RdKBQSRZGiDgB0BDsAVpfL\n5ZLJZC6X0ydOpzMSiUxMTFDUAYARwQ6AddUt6rq7u0VR7OzsNHExALAmgh0Ai6KoA4BbRbAD\nYDmqqi4vL1+/fl3TNH3Y09MjiqLf7zdxMQCwOIIdAGuhqAOA20awA2AVqqouLS2trq5S1AHA\n7SHYAbCEw8NDSZIKhYI+cblc0Wh0bGzMxK0AoLUQ7ACYjKIOAC4LwQ6AmeoWddPT05yoA4Db\nQLADYI66RV1fX18ikfD5fCYuBgCti2AHwAQHBweSJBWLRX3idrtnZ2dHR0dN3AoAWh3BDsCV\nqtVq6XR6fX3dOOzv708kEh0dHWZtBQD2QLADcHXqFnXRaDQcDpu4FQDYBsEOwFWgqAOAK0Cw\nA9B0mUxGluVSqaRPKOoAoBkIdgCaSFGUdDq9sbFhHFLUAUCTEOwANAtFHQBcMYIdgMunKMrC\nwsLm5qZxODg4GI/HvV6vWVsBgO0R7ABcsr29PVmWy+WyPvF4PPF4fGhoyMStAKAdEOwAXJq6\nJ+qGhobi8bjH4zFrKwBoHwQ7AJfjdFHn9Xrj8fjg4KCJWwFAWyHYAbgoijoAsAiCHYALoagD\nAOsg2AG4TdVqNZVKbW9vG4cjIyOxWMzt5msLAJiAL74Absf29nYqlapWq/rE6/UmEomBgQET\ntwKANkewA3BrKpVKKpXa2dkxDkdHR2dnZynqAMBcfBUGcAtu3LgxPz9vLOo6OjpEUezr6zNx\nKwDAMYIdgHOpW9QNDQ0lEgmKOgCwCL4cAzjb6RN1Pp8vkUhQ1AGApRDsADRSqVRkWd7d3TUO\nw+Hw7Oysy+UyaysAQF0EOwA3tbW1NT8/ryiKPvH5fKIo9vb2mrgVAOBmCHYA6iiXy7Is7+3t\nGYfj4+MzMzMUdQBgWQQ7ACfVPVFHUQcA1kewA/CiUqkky3Imk9EngiCMjY1R1AFASyDYAfi+\njY2NdDptPFHn9/tFUezp6TFxKwDA+RHsADhKpZIkSfv7+/pEEITjF5OgqAOAFkKwA9rd+vp6\nOp2u1Wr6pLOzUxTF7u5uE7cCANwGgh3QvijqAMBmCHZAO9I0bXd3d2try1jUBQIBURRDoZCJ\niwEALoJgB7SdYrEoSdLBwYE+EQRhcnJyenra6XSauBgA4IIsFOw0Tcvn84eHh2YvYmm1Wo1L\n1NhxBZXP54vFotm7WNHu7u7a2pqqqvrE5/NNTU0FAoFsNmviYhZ0fJVKpVKlUjF7F0ur1WpH\nR0eCIJi9iHVpmuZwOCqVCl/AG6vVarVajXupgWq1enw73YyFgp0gCH6/PxgMmr2Idamqms/n\nuUSNFYvFUqnk9/s9Ho/Zu1hLsVhMpVLG7yuCIIyPj09NTVHU1VWpVPL5vNfr9fl8Zu9iaUdH\nR4FAgLuogePs6/F4Ojs7zd7F0vL5fEdHh9ttoXBiNdVqtXHwtda1czqdHNluQBAEQRC4RI0d\nf3fhXjLSNG1zc3NhYcF4os7n8730pS/t6uoycTGL4146p+OvSwS7Bo4rFr6An0kQBD7jGjP+\nvqUuawU7AJcun89LknR0dKRPBEGYnp7u6uoi1QGAzRDsANvSNO369evLy8vGn/C6urpEUQwG\ng8bXDQMA2APBDrCnukXdxMREJBLhV2YAYFcEO8BuNE1bWVlZWVkxFnWhUEgUxUAgYOJiAIBm\nI9gBtpLP55PJpPEPlxwXdTMzM/wFAQCwPYIdYBOapq2uri4tLZ0o6ubm5vgLCwDQJgh2gB3k\ncrlkMpnL5fSJ0+mMRCITExMUdQDQPgh2QGurW9R1d3eLokhRBwDthmAHtLBsNptMJvP5vD5x\nOp0zMzPj4+MUdQDQhgh2QEtSVXV5efn69evGFw3s7u6em5vz+/0mLgYAMBHBDmg9R0dHkiSd\nKOo4UQcAINgBrURV1aWlpdXV1RNFHSfqAAAOgh3QQg4PDyVJKhQK+sTlck1PT1PUAQCOEeyA\nFqCq6uLi4tramrGo6+3tFUXR5/OZuBgAwFIIdoDVnS7q3G53JBIZGxujqAMAGBHsAOuqe6Ku\nr68vkUhQ1AEATiPYARZ1cHAgSVKxWNQnbrd7dnZ2dHTUxK0AAFZGsAMsp1arLS8vny7qRFHs\n6OgwcTEAgMUR7ABrOTw8TCaTJ4q6aDQaDodN3AoA0BIIdoBV1C3q+vv7E4kERR0A4DwIdoAl\nZDIZWZZLpZI+8Xg8s7OzIyMjJm4FAGgtBDvAZIqiLCwsbG5uGocDAwOJRMLr9Zq1FQCgFRHs\nADOdLuo4UQcAuG0EO8AcdYu6wcHBeDxOUQcAuD0EO8AEe3t7siyXy2V94vV6o9EoJ+oAABdB\nsAOulKIo6XR6Y2PDOBwaGorH4x6Px6ytAAD2QLADrs7u7q4sy5VKRZ94vd54PD44OGjiVgAA\n2yDYAVeBog4AcAUIdkDT7ezspFKpE0VdIpEYGBgwcSsAgP0Q7IAmqlarqVRqe3vbOBwZGYnF\nYm43n30AgEvGtxagWba3t1OpVLVa1ScUdQCApiLYAZevUqmkUqmdnR3jkBN1AIBmI9gBl4yi\nDgBgFoIdcGkqlYosy7u7u8bh6Ojo7OwsJ+oAAFeAbzbA5dja2lpYWDAWdT6fL5FI9PX1mbgV\nAKCtEOyAi6pb1IXD4dnZWZfLZdZWAIA2RLADLmRra2t+fl5RFH3i8/lEUezt7TVxKwBAeyLY\nAbeJog4AYDUEO+B2nH7qK0UdAMB0BDvg1pRKJVmWM5mMPhEEYWxsbGZmhqIOAGAugh1wCzY2\nNhYWFmq1mj7x+/2iKPb09Ji4FQAAxwh2wLmUSiVJkvb39/WJIAjj4+MzMzNOp9PExQAA0BHs\ngLOtr6+n02ljUdfZ2SmKYnd3t4lbAQBwAsEOaKRuUceJOgCANRHsgJs6faIuEAiIohgKhUzc\nCgCAmyHYAXUUi0VZlk8UdRMTE5FIhBN1AADLItgBP0DTtLW1tcXFRVVV9WEgEJibm+vq6jJx\nMQAAzkSwA15UKBQkSTo8PNQngiBMTU1NTU1R1AEArI9gBzgcDoemaZubm6dP1FHUAQBaCMEO\ncOTzeUmSjo6O9InT6Twu6gRBMHExAABuCcEObU3TtNXV1aWlJeOJumAwKIoiRR0AoOUQ7NC+\nThd1PPUVANDSCHZoR5qmraysrKysGIu6UCgkimIgEDBxMQAALoJgh7aTz+eTyWQ2m9UnTqdz\ncnJyenqaE3UAgJZGsEMb0TRteXl5ZWVF0zR9GAqF5ubmOjs7TVwMAIBLQbBDu8hms5Ik5XI5\nfeJ0OiORyMTEBEUdAMAeCHawv7pPfe3u7hZFkaIOAGAnBDvYXC6XSyaTFHUAgHbQ3GCXyWT+\n+I//+IUXXqhUKjMzM/fff388Hm/qIwK5nLC46HrpSx0ej7a6urq4uGg8UUdRBwCwseb+sa6P\nfOQju7u7H/rQhx5//PGBgYEPf/jDpVKpqY+IdnbjhuONb3QMD/t//Md7f+InSv/rf30rnU7r\nqc7lcsVisR/5kR8h1QEA7KqJjV02mx0cHHzLW94yMTHhcDiuXbv29NNPr66uxmKx5j0o2lat\n5njTmxxPP+3wetX77lt605tWnU6KOgBAe2lisOvq6nrkkUf0N/f29pxO58DAgD7JZDILCwv6\nm4qi1Gq1arXavJVanaZpmqZxier6+teFp592v+Qlh+99rzQ5WdDnTqdrcnJibGxMEAQu3Qlc\nkMZqtdrxf3KhGtM0TVEUDq02cHwvqarKvdSYqqqKopi9haWdeQtd0ZMnstnspz71qV/5lV/p\n7e3Vhy+88MLDDz+svxmNRvP5/OHh4dWs1Lq4RHV997uet71t5z/8hzVBeLGoe/753jvuGOvq\nEoyvGwYd99J5lEolzpCciU+x86hUKpVKxewtrI7s21i1WjUeHD/tKoLd2trao48++vKXv/y+\n++4zzqempoyT5557rqOjw+/3X8FKLUrTtEql0tHRYfYilpPNZn/4hxfuvLOoTwoF95NPRv7H\n/xj7zndKfr/a4H/btkqlks/nM3sLS6vVapVKxePxuN38AYFGyuWy1+ulsWtAVdVyuex2uz0e\nj9m7WFqlUnG73bxadwNut7vx51rTv1q98MILH/vYx37t137tF3/xF0/808zMzNvf/nb9zQce\neKCjo4NX6mxAVdVarcYlMlJVdWlpaXV11e1+8SeYb3+77+MfT2xv++6+2/FDP8SPCvWVy2Xu\npcbK5XKlUvF6vfzA2Vi1Wu3s7OSbcQOKohwHOz7pGlNV1efzEX8bMPlXsd/73vd+7/d+7z3v\nec+dd97Z1AdCezo8PJQkqVB48URdoeB+4onoX/1VWNMcd9zh+LM/M3E7AACuWhODXaVSefzx\nx++5556pqand3d3jYTAY5Lc/uLharZZOp9fX143D/v7+l70ssbvruPPO/A/9UMc99/ALNABA\ne2ni971kMrm1tfXFL37xi1/8oj787d/+7de+9rXNe1C0g/39fUmSjOfZ3W53LBYbGRlxOBxv\neEOhUCiGQh5SHQCg3TTxW98P//APf/WrX23ex0cbqtVqy8vLq6urxucE9ff3JxIJnlMCAACd\nBlpGJpORZdlY1Hk8nlgsNjw8bOJWAABYB8EOLUBRlHQ6vbGxYRxS1AEAcALBDlaXyWQkSSqX\ny/rE7XZHo9FwOGziVgAAWBDBDtalKMr8/PzW1pZxODg4GI/HvV6vWVsBAGBZBDtY1N7enizL\nxqLO6/VGo9Hjp74CAIDTCHawnGq1urCwcKKoGxoaisfj/DlyAAAaINjBWnZ3d2VZNr5Ottfr\njcfjg4ODJm4FAEBLINjBKuo+9ZWiDgCA8yPYwRLqnqijqAMA4JYQ7GCySqWSTqc5UQcAwMUR\n7GCm7e3tVCpVrVb1SUdHRyKR6O/vN3ErAABaFMEO5qhUKqlUamdnxzgcHR2dnZ11u7ktAQC4\nHXwHhQlOF3VerzeRSAwMDJi4FQAArY5ghytVqVRkWd7d3TUOw+FwNBqlqAMA4IL4Voqrc7qo\n8/l8oij29vaauBUAALZBsMNVuFlRNzs763K5zNoKAACbIdih6TY3NxcWFhRF0ScUdQAANAPB\nDk1EUQcAwFUi2KFZThd1fr9fFMWenh4TtwIAwMYIdrh8pVJJluVMJqNPBEEYGxubmZmhqAMA\noHkIdrhkGxsbCwsLtVpNn1DUAQBwNQh2uDSlUkmSpP39fX0iCMLxi0lQ1AEAcAUIdrgcFHUA\nAJiOYIeLKhaLkiQdHBzoE0EQJiYmIpGI0+k0cTEAANoNwQ63T9O09fX1xcVFY1EXCAREUQyF\nQiYuBgBAeyLY4TZR1AEAYDUEO9wyTdPW1tYWFxdVVdWHgUBgbm6uq6vLxMUAAGhzBDvcGoo6\nAAAsi2CH89I07fjFJE6cqKOoAwDAIgh2OJd8Pi9J0tHRkT6hqAMAwGoIdjiDpmmrq6tLS0vG\nE3XBYFAURYo6AAAshWCHRvL5fDKZzGaz+sTpdE5PT09OTgqCYOJiAADgNIId6tM0bWVlZWVl\nxVjUhUIhURQDgYCJiwEAgJsh2KGOukXd5OTk9PQ0RR0AAJZFsMMPqHuiLhQKzc3NdXZ2mrgY\nAAA4E8EOL8rlcpIknSjqIpHIxMQERR0AANZHsIPD4XCoqrq8vHz9+nVN0/Rhd3e3KIoUdQAA\ntAqCHRy5XC6ZTOZyOX1CUQcAQCsi2LW1ukVdT0+PKIp+v9/ExQAAwG0g2LWvo6OjZDJZKBT0\nicvlmpmZGRsbo6gDAKAVEezakaqqS0tLq6urJ07Uzc3NUdQBANC6CHZt5/DwUJKkE0Xd9PQ0\nJ+oAAGh1BLs2Ureo40QdAAC2QbBrFwcHB5IkFYtFfeJ2u6PRaDgcNnErAABwiQh29ler1RYX\nF9fX141FXV9fXyKR8Pl8Ji4GAAAuF8HO5k6fqKOoAwDArgh2tlWr1dLp9Pr6unHY39+fSCQ6\nOjrM2goAADQPwc6eOFEHAEAbItjZjaIoS0tLJ07UUdQBANAOCHa2kslkZFkulUr6xOPxxGKx\n4eFhE7cCAABXg2BnE4qipNPpjY0N45CiDgCAtkKws4O9vT1Zlsvlsj7xeDzxeHxoaMjErQAA\nwBUj2LU2RVHm5+e3traMw6GhoVgs5vV6zdoKAACYgmDXwk4XdV6vNx6PDw4OmrgVAAAwC8Gu\nJdU9UTc0NBSPxz0ej1lbAQAAcxHsWg9FHQAAqItg10qq1ery8nImkzEOh4eHY7EYRR0AACDY\ntYydnZ1UKlWpVPSJ1+tNJBIDAwMmbgUAAKzDQsFO07RcLre/v2/2IpZTrVY3NzdPFHU9PT3j\n4+Mul4srdoKqqg6HI5fLCYJg9i6WpqoqN09jxy/fUiwWjX/0G6epqnpwcMBnXAPH91K5XK5W\nq2bvYmmqqlarVe6lBqrVqvGVpU6zULATBCEYDPb09Ji9iLVsb2/Pz88bvxZ0dHTE4/H+/n4T\nt7KyQqFQLBYDgQB/8KWx/f19Pt0aK5fLuVzO5/P5/X6zd7G0w8PDrq4up9Np9iLWpSjK4eFh\nR0dHIBAwexdLy+VyHR0dHC5q4Mzga6Fgd4ycrqtUKqlUamdnxzjs7e294447uOkbOL6FBEHg\nXjoTl6gx7qXz4yo1pl8crtKZuJcaO/PiWC7Y4dj29nYqlTIWdcdPffV6vaQ6AABQF8HOciqV\niizLu7u7xmE4HI5Go06nM5vNmrUYAACwOIKdtZwu6nw+nyiKvb29jv//tAAAAIC6CHZWUS6X\nZVne29szDsfGxqLRqMvlMmsrAADQQgh2lrC5ubmwsKAoij7x+/2iKPKkRQAAcH4EO5Pd7ETd\n7OwsRR0AALglBDszbW9vy7J8oqhLJBLHJ+oAAABuCcHOHKVSSZblEy8mQVEHAAAugmBngvX1\n9XQ6XavV9ElnZ6coit3d3SZuBQAAWh3B7kqVSiVJkowv0CkIwsTERCQS4dV4AADABRHsrs7G\nxsbCwoKxqOOprwAA4BIR7K5CsViUJOng4ECfUNQBAIBLR7BrutNFXSAQEEUxFAqZuBUAALAf\ngl0TUdQBAICrRLBrCk3Tjl9M4kRRNzc319XVZeJiAADAxgh2l4+iDgAAmIJgd5k0TVtdXV1a\nWlJVVR8Gg8G5ublgMGjiYgAAoB0Q7C5NPp+XJOno6EifOJ3OqampqakpQRBMXAwAALQJgt0l\noKgDAABWQLC7qNNFHSfqAACAKQh2t4+iDgAAWArB7jblcrlkMpnL5fSJ0+mMRCITExOcqAMA\nAKYg2N2yukVdKBSam5vr7Ow0cTEAANDmCHa3JpvNSpJ0oqibmZkZHx+nqAMAAOYi2J2XqqrL\ny8vXr1/XNE0fdnd3i6JIUQcAAKyAYHcunKgDAADWR7A7g6qqKysrKysrFHUAAMDiCHaNHB0d\nJZPJQqGgT1wu1/T0NEUdAACwIIJdfaqqLi4urq2tGYu63t5eURR9Pp+JiwEAANwMwa6Ow8ND\nSZJOFHXRaHRsbMzErQAAABoj2P0AVVWXlpZWV1eNRV1PT48oin6/38TFAAAAzkSwe9HBwYEk\nScViUZ+43e5oNBoOh03cCgAA4JwIdg7HTYq6vr6+RCLBiToAANAqCHZ1TtRR1AEAgFbU1sGu\nVqul0+n19XXjsL+/P5FIdHR0mLUVAADA7WnfYMeJOgAAYDPtGOwURUmnDyjxQgAAEcVJREFU\n0xsbG8bhwMBAIpHwer1mbQUAAHBBbRfsMpmMLMulUkmfeDyeWCw2PDxs4lYAAAAX10bBrm5R\nx4k6AABgG+0S7DKZjCRJ5XJZn3CiDgAA2Iz9gx1FHQAAaBM2D3a7u7uyLFcqFX3i9Xrj8fjg\n4KCJWwEAADSDbYNdtVqdn5+/ceOGcTg8PByLxTwej1lbAQAANI89g93e3p4sy8YTdRR1AADA\n9uwW7KrVaiqV2t7eNg4p6gAAQDv4f+3dfWxV9f3A8XsLfaC2FMpTLKjjsWUFdI5NSWaiBP+Z\nP3QsosnEOgjTqgnLNtzQzKDELduYgY2QsAosjG2K0c0/NkcynNtc4h84EYgLLRQ3ZjeE8tRb\n6m3v0++PJrUDbB2znHu/vF5/9RxPej/U0953vz333KDCrr29vaWlxUIdAHB5CiTsenp6Dh48\neM5C3fjx42fMmGGhDgC4TIQQdseOHWtpaUmlUn17SktLa2trx4wZE+FUAACXWGGHXU9PT0tL\ny/Hjx/vvtFAHAFyeCjjs3nvvvYMHD/ZfqCsrK6utra2uro5wKgCAqBRk2HV3d7e0tLS3t/ff\nWVNTM3Xq1OHDC/JfBADwvyu8DDr/irqysrK6urrRo0dHOBUAQOQKKex6enqam5vPX6ibNm3a\nsGHDopoKACBPFEzYWagDABhYAYRdMplsbm4+efJk3554PD5x4sQpU6ZYqAMA6JPvYfevf/2r\ntbU1nU737RkxYkRdXd2oUaMinAoAIA/lb9glk8kDBw6cOnWq/05X1AEAfJg8Dbu2trbW1tZM\nJtO3p7y8vK6urqqqKsKpAADy2ZCHXVtb27p16w4dOvTSSy99lOPPX6iLx+NXXnmlhTo+klyu\nqLm5+PDh+LXXxqZNi3oaALikhjbsXnvttc2bN3/qU586dOjQRzn++PHjR44c6b9Q54o6/guH\nDsUaGspef72sd/Ouu2LPPBMbOTLaoQDgkika0s+eSqV++MMf3njjjR/l4GQy+fe//72v6uLx\n+DXXXPPZz35W1fGRdHfH7rwz9vrrH+x5/vnYgw9GNxAAXGpDu2I3f/78WCzW2tp6wf967Nix\nffv29W32f+lreXn51KlTKysr+9+4jlwul81mu7u7ox4kHxW9/HLx3r3n7n322Z6nnsrV1EQx\nUb7L5XLOpYH1/vxJp9O+UAPLZrM9PT3xeDzqQfJX75pFJpNxLg0sk8mkUqlsNhv1IPlr0C6K\n8sUTb7/99qpVq/o2r7rqqlgsFo/Hx44dO2HChFgslkgkIhsuj/myXFBZS0vx+XtzufcPHEhV\nVl76eQqCc+mj6O7u9mQ8qM7OzqhHKACpVMpqxaD6r/JwvlQqlcvlBjggyrCrra197LHH+jZ/\n9atflZeXz549+4orrohwqnyWy+WSyeSIESOiHiQfDZsy5YL7y6ZNK62ouMTDFISzZ8/6XhtY\nOp1OJpOlpaXFxRf4rYE+XV1dI0aMsGI3gEwm8/777xcXF5eWlkY9S15LJpPFxcVeKzmAVCo1\n8PdalGFXU1PzxS9+sW/zt7/9bX19/ZgxYyIcKc/1/r2jrKws6kHy0v/9X6y2Ntbc/B8777ij\ndPr0iAbKd11dXc6lgXV3dyeTyeHDh/tCDaw3f4uKhvai7YKWTqfff//9YcOGOZcGlkqlSkpK\n/Co1gEGr1/choRgxIvbCC7H6+g/23HprbMuW6AYCgEttaFfsTp06lclkeq/jaW9vj8ViFRUV\nfl9hqMyaFXvrreRrr6UOHy679triuXOjHggALqmhDbtHHnnk2LFjvR8vW7YsFostX7789ttv\nH9IH5bI2fHj2hhu6Z88udfs6AC4/Qxt2mzdvHtLPDwBAH9fYAQAEQtgBAARC2AEABELYAQAE\nQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEA\nBELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgB\nAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELY\nAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC\n2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAE\nYnjUA3wgl8slEokTJ05EPUi+8yUaWC6Xi8ViiUQi6kHyXS6Xcy4NrPdc6urq6urqinqWvJbL\n5U6dOhX1FHmt91xKJpPd3d1Rz5LXcrlcd3d3PB6PepD8lUqlek+nD5NHYRePxysrK8eMGRP1\nIPkrm80mEomqqqqoB8lrvU/DlZWVJSUlUc+S106ePFldXR31FHmtu7s7kUiUl5ePGDEi6lny\n2unTp0eOHFlU5E9AHyqdTp8+fbqsrKyioiLqWfJaIpEoKysrLi6OepD8lUqlBg5f34cAAIEQ\ndgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACB\nEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAA\ngRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYA\nAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2\nAACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQ\ndgAAgRB2AACBEHYAAIEYPqSfvbOzs6mpad++falUqra2trGxcfz48UP6iAAAl62hXbFbv379\nsWPHVq9evXbt2vLy8jVr1mSz2SF9RACAy9YQhl17e/vu3bvvv//+yZMn19TUNDY2trW17d+/\nf+geEQDgcjaEYXfw4MHi4uLJkyf3blZUVEyaNKm5uXnoHhEA4HI2hNfYdXR0VFZWxuPxvj1V\nVVVnzpzp2zxy5Mirr77at9nT0/Piiy9WVVUN3UgBSKfTw4cP7ZWRhS6TyWQymeLi4v7nHudL\npVLFxcVRT5HXstls73dcUZHXmQ3EuTSoXC6XSqWKior8AB9YOp0eNmyYn94DyGQyAx8wtGfY\nwP9vWltbN2zY0Lc5c+bM6urq8vLyIR2p0GWzWc8xAzt8+PDBgwevv/76cePGRT1LXnMuDero\n0aN79+6dMWNG318euCDn0qASicQbb7wxceLEWbNmRT1LXnMuDSqbzdbU1Gzfvv3ee++94AFD\nGHajRo3q6OjI5XJ9eXfmzJnRo0f3HVBfX/+9732v9+MdO3bs2bPnu9/97lVXXTV0I3E52LJl\ny4svvrh06dKbbrop6lkobLt27dq+ffv8+fPvvvvuqGehsB06dGjTpk1Tp051LvE/SqVSTz/9\ndC6XiyDspk+fnkqlWltbp02bFovFOjo6/vnPf86cObPvgPHjxy9YsKD34z//+c979uwZumEA\nAII3hAue1dXV8+bN27hx4zvvvNPW1rZu3bqpU6d+8pOfHLpHBAC4nA3tNXYrVqxoamp64okn\nMplMfX39t7/9bVdEAgAMkXgul4t6BgAAPgZeewIAEAhhBwAQCGEHABCI6G+B3dnZ2dTUtG/f\nvlQqVVtb29jYOH78+KiHoiCdPHly69ate/fu7enpmTJlytKlS2fMmBH1UBS8V1555Uc/+tFj\njz124403Rj0Lherll1/+9a9/feLEiYkTJzY0NHzmM5+JeiIK0rvvvvvTn/60ubk5nU5Pnjz5\n3nvvPf9mI9Gv2K1fv/7YsWOrV69eu3ZteXn5mjVrstls1ENRkJ566qn29vYnn3xy/fr1Y8eO\nXbNmTTKZjHooCtvp06e3bdtWUlIS9SAUsFdeeWXHjh0PPPDApk2bFixY8Mwzz3R1dUU9FIUn\nl8utWbNm9OjRTU1N27ZtmzVr1hNPPJFIJM45LOKwa29v37179/333z958uSamprGxsa2trb9\n+/dHOxWFKJFIjBs37uGHH54yZcqVV17Z0NDQe0/sqOeisG3atOnmm2/2Vof8L3bs2HHffffN\nnTt3/Pjxd9xxR1NTkzOKi9DR0XH06NEFCxaUl5eXlpZ+/vOfTyaT//73v885LOKwO3jwYHFx\ncd/7MFZUVEyaNKm5uTnaqShElZWVjz76aN9b0p04caKoqGjs2LHRTkVBe/3111tbW7/0pS9F\nPQgF7MSJE0ePHo3FYitWrFi8ePHKlSsPHDgQ9VAUpKqqqrq6up07dyYSiWQyuXPnzgkTJnzi\nE58457CIw66jo6OysrL/XYurqqrOnDkT4UgEIJFIbNiw4Qtf+EL/9yaG/0pnZ+emTZsefvjh\nsrKyqGehgJ04cSIWi+3ateub3/zm1q1ba2trn3zySU9zXJxVq1YdOnTonnvuueuuu3bu3Llq\n1arzLxSJ/ho770XBx+vdd99duXLlrFmz7rvvvqhnoYBt2bLl+uuvv+6666IehBDcfffdkyZN\nqqysXLZsWTwef+ONN6KeiMKTTqfXrFlTV1e3ffv25557buHChatXrz516tQ5h0UcdqNGjero\n6Oj/7hdnzpyxysJF27t377e+9a2FCxc++OCDfmfgor311ltvvvnmsmXLoh6EglddXR2Lxa64\n4orezWHDhlVXV5//ZAyD2r9//zvvvLN8+fKqqqry8vI777yztLT0L3/5yzmHRXy7k+nTp6dS\nqdbW1mnTpsVisd6r3WfOnBntVBSov/3tb9///ve/8Y1vfPrTn456Fgrb73//+7NnzzY2NvZu\ndnZ2rlu37rrrrnv00UejHYyCU11dPXr06AMHDvQ+zfX09Bw/fnzChAlRz0XhyeVyuVyu/51D\n0un0+YdFHHbV1dXz5s3buHHjihUrSkpKNm/ePHXq1PNvygKD6unpWb9+/e23337NNde0t7f3\n7qyoqHCBFBehsbFx6dKlfZtf+9rXGhoabrjhhghHokAVFRUtXLjwueeemzRp0qRJk5599tmy\nsjL3seMi1NXVjR49euvWrV/+8pdLSkp+85vfnD17du7cueccFu//Z9BIdHV1NTU17dmzJ5PJ\n1NfXNzY2+lMsF2Hv3r2PP/74OTsfeOCB2267LZJ5CElDQ8NDDz3kBsVcnGw2+/Of/3zXrl2d\nnZ21tbUPPfRQ3+v34b/yj3/8Y9u2bS0tLZlM5uqrr16yZMns2bPPOSb6sAMA4GMR/atiAQD4\nWAg7AIBACDsAgEAIOwCAQAg7AIBACDsAgEAIOwCAQAg7gA8kk8n6+vpx48a99957/ffncrlb\nbrmlvLz8wIEDUc0GMChhB/CBsrKyX/7ylx0dHV/5ylf679+4ceMf//jHH/zgB3V1dVHNBjAo\n7zwBcK6nn3565cqVW7ZsWbZsWSwWO3z48Jw5cz73uc/97ne/i8fjUU8H8KGEHcC5crncrbfe\nunv37n379l199dXz58/ft2/f/v37a2pqoh4NYCDCDuAC2tra5syZM2fOnEWLFn31q199/vnn\nFy9eHPVQAIMQdgAX9sILLyxevLioqOiee+752c9+FvU4AIPz4gmAC7vllltGjhyZzWZvuumm\nqGcB+EiEHcCFLV++vKio6Oabb37kkUeOHDkS9TgAgxN2ABfQ1NT00ksvbdiw4Re/+EU8Hl+6\ndKkLV4D8J+wAztXS0vL1r3990aJFS5YsqampWbdu3R/+8Icf//jHUc8FMAgvngD4D6lUat68\neUeOHHn77bfHjRvXu/O222579dVX33zzTTcoBvKZFTuA//D444//9a9//clPftJXdbFYrKmp\nqaSkpKGhIZ1ORzgbwMCEHcAH/vSnP61du3bJkiWLFi3qv3/ixInr1q3bvXv3d77znahmAxiU\nP8UCAATCih0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0A\nQCCEHQBAIP4fFtSe8DKmI1gAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Part II: Data exercise"
      ],
      "metadata": {
        "id": "JKHdHpTP3LsD"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "For this problem, we will be looking at data you may have seen before on income mobility in the U.S. "
      ],
      "metadata": {
        "id": "KwQVm6vUvEcD"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "For more information, see the paper [\"The Opportunity Atlas: Mapping the Childhood Roots of Social Mobility\"](https://opportunityinsights.org/paper/the-opportunity-atlas/) by Raj Chetty, Nathaniel Hendren, John Friedman, Maggie R. Jones, and Sonya R. Porter. (Looking at this resource is not necessary for completing the problem, but you may find it interesting or helpful for articulating interpretations.)"
      ],
      "metadata": {
        "id": "nUFG_4NMuLXs"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "In particular, we will be working to replicate Figure I, Panel B in this [academic paper](https://opportunityinsights.org/wp-content/uploads/2018/10/atlas_paper.pdf). (The numbers will be slightly different because we are plotting for all genders, not just men.)"
      ],
      "metadata": {
        "id": "yisgokuUu5G2"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Load `R` libraries and data\n",
        "\n",
        "**Please refer to Sheet 1 in this [R Cheat Sheet](https://bit.ly/HKS-R) which includes the commands you learned last semester in addition to a number of additional ones.**\n",
        "\n",
        "The code cell below imports the R tidyverse and creates a dataframe that we will be using for the next exercise. Make sure to run it before starting the problem!\n",
        "\n",
        "*Note: Click the \"play\" button that appears when you hover over a cell to run it. The first time you do this you may receive an alert that this notebook was not authored by Google. If so, click \"Run anyway\" to proceed.*"
      ],
      "metadata": {
        "id": "SWj0YRUh9558"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Bmm4lWyNta7U",
        "outputId": "380445ca-3f55-4c37-a24b-d33ac4c77390",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "── \u001b[1mAttaching packages\u001b[22m ─────────────────────────────────────── tidyverse 1.3.1 ──\n",
            "\n",
            "\u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 3.1.8      \u001b[32m✔\u001b[39m \u001b[34mdplyr  \u001b[39m 1.0.10\n",
            "\u001b[32m✔\u001b[39m \u001b[34mtidyr  \u001b[39m 1.2.1      \u001b[32m✔\u001b[39m \u001b[34mstringr\u001b[39m 1.4.1 \n",
            "\u001b[32m✔\u001b[39m \u001b[34mreadr  \u001b[39m 2.1.3      \u001b[32m✔\u001b[39m \u001b[34mforcats\u001b[39m 0.5.2 \n",
            "\u001b[32m✔\u001b[39m \u001b[34mpurrr  \u001b[39m 1.0.1      \n",
            "\n",
            "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m    masks \u001b[34mstats\u001b[39m::lag()\n",
            "\n"
          ]
        }
      ],
      "source": [
        "#suppress warnings\n",
        "options(warn = -1,dplyr.summarise.inform=FALSE)\n",
        "\n",
        "#load packages\n",
        "library(tidyverse)\n",
        "library(broom)\n",
        "library(ggplot2)\n",
        "\n",
        "# load data\n",
        "mobility_all <- read.csv('https://opportunityinsights.org/wp-content/uploads/2018/10/national_percentile_outcomes.csv')"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# run this to select only the variables in the data we will be working with\n",
        "mobility <- mobility_all %>% \n",
        "  select(par_pctile,(starts_with(\"jail\") & ends_with(\"_pooled\")))"
      ],
      "metadata": {
        "id": "jQ9y3_i3wW1i"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here is a description of each variable in our shortened dataset:\n",
        "\n",
        "*   ``par_pctile``: Parent Income Rank in National Income Distribution. \n",
        "*   ``jail_pooled_pooled``: Fraction incarcerated on April 1st, 2010 (where incarceration is defined as residing in a federal detention center, federal prison, state prison, local jail, residential correctional facility, military jail, or juvenile correctional facility). The first \"pooled\" label means the data represents all races. The second \"pooled\" label means because the data represents all genders.\n",
        "*   ``jail_[race]_pooled``: Fraction incarcerated on April 1st, 2010 for that race/ethnicity group. (Like above, the last \"pooled\" means these data represents all genders.)"
      ],
      "metadata": {
        "id": "Pq6UybAjz65U"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "(Here is the  [codebook](https://opportunityinsights.org/wp-content/uploads/2019/07/Codebook-for-Table-7.pdf) for the full data, if you're curious.)"
      ],
      "metadata": {
        "id": "md-MaiBXy9O9"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# take a look at the first few observations of the data\n",
        "head(mobility)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "fCxpmJEaMCcL",
        "outputId": "6b81f308-4602-4f19-a403-933766120555"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A data.frame: 6 × 8</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>par_pctile</th><th scope=col>jail_pooled_pooled</th><th scope=col>jail_asian_pooled</th><th scope=col>jail_black_pooled</th><th scope=col>jail_hisp_pooled</th><th scope=col>jail_natam_pooled</th><th scope=col>jail_other_pooled</th><th scope=col>jail_white_pooled</th></tr>\n",
              "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>1</th><td>1</td><td>0.05587</td><td>0.004098</td><td>0.10430</td><td>0.03499</td><td>0.07073</td><td>0.02007</td><td>0.03733</td></tr>\n",
              "\t<tr><th scope=row>2</th><td>2</td><td>0.05033</td><td>0.003936</td><td>0.09618</td><td>0.03290</td><td>0.05996</td><td>0.01597</td><td>0.03464</td></tr>\n",
              "\t<tr><th scope=row>3</th><td>3</td><td>0.04627</td><td>0.004104</td><td>0.08644</td><td>0.02931</td><td>0.06418</td><td>0.01906</td><td>0.03460</td></tr>\n",
              "\t<tr><th scope=row>4</th><td>4</td><td>0.04445</td><td>0.004954</td><td>0.08586</td><td>0.02776</td><td>0.05662</td><td>0.01667</td><td>0.03246</td></tr>\n",
              "\t<tr><th scope=row>5</th><td>5</td><td>0.04172</td><td>0.004271</td><td>0.08046</td><td>0.02634</td><td>0.04995</td><td>0.01573</td><td>0.03146</td></tr>\n",
              "\t<tr><th scope=row>6</th><td>6</td><td>0.04048</td><td>0.003178</td><td>0.08032</td><td>0.02490</td><td>0.05258</td><td>0.01598</td><td>0.02974</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA data.frame: 6 × 8\n\n| <!--/--> | par_pctile &lt;int&gt; | jail_pooled_pooled &lt;dbl&gt; | jail_asian_pooled &lt;dbl&gt; | jail_black_pooled &lt;dbl&gt; | jail_hisp_pooled &lt;dbl&gt; | jail_natam_pooled &lt;dbl&gt; | jail_other_pooled &lt;dbl&gt; | jail_white_pooled &lt;dbl&gt; |\n|---|---|---|---|---|---|---|---|---|\n| 1 | 1 | 0.05587 | 0.004098 | 0.10430 | 0.03499 | 0.07073 | 0.02007 | 0.03733 |\n| 2 | 2 | 0.05033 | 0.003936 | 0.09618 | 0.03290 | 0.05996 | 0.01597 | 0.03464 |\n| 3 | 3 | 0.04627 | 0.004104 | 0.08644 | 0.02931 | 0.06418 | 0.01906 | 0.03460 |\n| 4 | 4 | 0.04445 | 0.004954 | 0.08586 | 0.02776 | 0.05662 | 0.01667 | 0.03246 |\n| 5 | 5 | 0.04172 | 0.004271 | 0.08046 | 0.02634 | 0.04995 | 0.01573 | 0.03146 |\n| 6 | 6 | 0.04048 | 0.003178 | 0.08032 | 0.02490 | 0.05258 | 0.01598 | 0.02974 |\n\n",
            "text/latex": "A data.frame: 6 × 8\n\\begin{tabular}{r|llllllll}\n  & par\\_pctile & jail\\_pooled\\_pooled & jail\\_asian\\_pooled & jail\\_black\\_pooled & jail\\_hisp\\_pooled & jail\\_natam\\_pooled & jail\\_other\\_pooled & jail\\_white\\_pooled\\\\\n  & <int> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n\\hline\n\t1 & 1 & 0.05587 & 0.004098 & 0.10430 & 0.03499 & 0.07073 & 0.02007 & 0.03733\\\\\n\t2 & 2 & 0.05033 & 0.003936 & 0.09618 & 0.03290 & 0.05996 & 0.01597 & 0.03464\\\\\n\t3 & 3 & 0.04627 & 0.004104 & 0.08644 & 0.02931 & 0.06418 & 0.01906 & 0.03460\\\\\n\t4 & 4 & 0.04445 & 0.004954 & 0.08586 & 0.02776 & 0.05662 & 0.01667 & 0.03246\\\\\n\t5 & 5 & 0.04172 & 0.004271 & 0.08046 & 0.02634 & 0.04995 & 0.01573 & 0.03146\\\\\n\t6 & 6 & 0.04048 & 0.003178 & 0.08032 & 0.02490 & 0.05258 & 0.01598 & 0.02974\\\\\n\\end{tabular}\n",
            "text/plain": [
              "  par_pctile jail_pooled_pooled jail_asian_pooled jail_black_pooled\n",
              "1 1          0.05587            0.004098          0.10430          \n",
              "2 2          0.05033            0.003936          0.09618          \n",
              "3 3          0.04627            0.004104          0.08644          \n",
              "4 4          0.04445            0.004954          0.08586          \n",
              "5 5          0.04172            0.004271          0.08046          \n",
              "6 6          0.04048            0.003178          0.08032          \n",
              "  jail_hisp_pooled jail_natam_pooled jail_other_pooled jail_white_pooled\n",
              "1 0.03499          0.07073           0.02007           0.03733          \n",
              "2 0.03290          0.05996           0.01597           0.03464          \n",
              "3 0.02931          0.06418           0.01906           0.03460          \n",
              "4 0.02776          0.05662           0.01667           0.03246          \n",
              "5 0.02634          0.04995           0.01573           0.03146          \n",
              "6 0.02490          0.05258           0.01598           0.02974          "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "**Let's start out with familiarizing ourselves with the interpretation of the variable for Parent Income Rank** (``par_pctile``)."
      ],
      "metadata": {
        "id": "cjmZdl3t0f9y"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "A. A rank of 1 mean means that a parent was **very poor**. In particular, they were in the lowest percentile of the national income distribution.\n",
        "\n",
        "B. A rank of 99 mean means that a parent was **very rich**. In particular, they were in the highest percentile of the national income distribution.\n",
        "\n",
        "C. A rank of 50 mean means that a parent was **in the middle** of the national income distribution. In particular, they were at the median."
      ],
      "metadata": {
        "id": "eqXrLqRj2T3D"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Convert the ``jail_`` variables from fractions to percents, to ease interpretations.**"
      ],
      "metadata": {
        "id": "qjtO84BO-sc6"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "mobility_pct <- mobility %>% \n",
        "  mutate(jail_pooled_pooled = jail_pooled_pooled*100) %>% \n",
        "  mutate(jail_asian_pooled = jail_asian_pooled*100) %>% \n",
        "  mutate(jail_black_pooled = jail_black_pooled*100) %>% \n",
        "  mutate(jail_hisp_pooled = jail_hisp_pooled*100) %>% \n",
        "  mutate(jail_natam_pooled = jail_natam_pooled*100) %>% \n",
        "  mutate(jail_other_pooled = jail_other_pooled*100) %>% \n",
        "  mutate(jail_white_pooled = jail_white_pooled*100)\n",
        "head(mobility_pct)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "9jEjfpHf_H-L",
        "outputId": "236c947a-9d6a-4b95-ff2c-30269d4772cb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A data.frame: 6 × 8</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>par_pctile</th><th scope=col>jail_pooled_pooled</th><th scope=col>jail_asian_pooled</th><th scope=col>jail_black_pooled</th><th scope=col>jail_hisp_pooled</th><th scope=col>jail_natam_pooled</th><th scope=col>jail_other_pooled</th><th scope=col>jail_white_pooled</th></tr>\n",
              "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>1</th><td>1</td><td>5.587</td><td>0.4098</td><td>10.430</td><td>3.499</td><td>7.073</td><td>2.007</td><td>3.733</td></tr>\n",
              "\t<tr><th scope=row>2</th><td>2</td><td>5.033</td><td>0.3936</td><td> 9.618</td><td>3.290</td><td>5.996</td><td>1.597</td><td>3.464</td></tr>\n",
              "\t<tr><th scope=row>3</th><td>3</td><td>4.627</td><td>0.4104</td><td> 8.644</td><td>2.931</td><td>6.418</td><td>1.906</td><td>3.460</td></tr>\n",
              "\t<tr><th scope=row>4</th><td>4</td><td>4.445</td><td>0.4954</td><td> 8.586</td><td>2.776</td><td>5.662</td><td>1.667</td><td>3.246</td></tr>\n",
              "\t<tr><th scope=row>5</th><td>5</td><td>4.172</td><td>0.4271</td><td> 8.046</td><td>2.634</td><td>4.995</td><td>1.573</td><td>3.146</td></tr>\n",
              "\t<tr><th scope=row>6</th><td>6</td><td>4.048</td><td>0.3178</td><td> 8.032</td><td>2.490</td><td>5.258</td><td>1.598</td><td>2.974</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA data.frame: 6 × 8\n\n| <!--/--> | par_pctile &lt;int&gt; | jail_pooled_pooled &lt;dbl&gt; | jail_asian_pooled &lt;dbl&gt; | jail_black_pooled &lt;dbl&gt; | jail_hisp_pooled &lt;dbl&gt; | jail_natam_pooled &lt;dbl&gt; | jail_other_pooled &lt;dbl&gt; | jail_white_pooled &lt;dbl&gt; |\n|---|---|---|---|---|---|---|---|---|\n| 1 | 1 | 5.587 | 0.4098 | 10.430 | 3.499 | 7.073 | 2.007 | 3.733 |\n| 2 | 2 | 5.033 | 0.3936 |  9.618 | 3.290 | 5.996 | 1.597 | 3.464 |\n| 3 | 3 | 4.627 | 0.4104 |  8.644 | 2.931 | 6.418 | 1.906 | 3.460 |\n| 4 | 4 | 4.445 | 0.4954 |  8.586 | 2.776 | 5.662 | 1.667 | 3.246 |\n| 5 | 5 | 4.172 | 0.4271 |  8.046 | 2.634 | 4.995 | 1.573 | 3.146 |\n| 6 | 6 | 4.048 | 0.3178 |  8.032 | 2.490 | 5.258 | 1.598 | 2.974 |\n\n",
            "text/latex": "A data.frame: 6 × 8\n\\begin{tabular}{r|llllllll}\n  & par\\_pctile & jail\\_pooled\\_pooled & jail\\_asian\\_pooled & jail\\_black\\_pooled & jail\\_hisp\\_pooled & jail\\_natam\\_pooled & jail\\_other\\_pooled & jail\\_white\\_pooled\\\\\n  & <int> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n\\hline\n\t1 & 1 & 5.587 & 0.4098 & 10.430 & 3.499 & 7.073 & 2.007 & 3.733\\\\\n\t2 & 2 & 5.033 & 0.3936 &  9.618 & 3.290 & 5.996 & 1.597 & 3.464\\\\\n\t3 & 3 & 4.627 & 0.4104 &  8.644 & 2.931 & 6.418 & 1.906 & 3.460\\\\\n\t4 & 4 & 4.445 & 0.4954 &  8.586 & 2.776 & 5.662 & 1.667 & 3.246\\\\\n\t5 & 5 & 4.172 & 0.4271 &  8.046 & 2.634 & 4.995 & 1.573 & 3.146\\\\\n\t6 & 6 & 4.048 & 0.3178 &  8.032 & 2.490 & 5.258 & 1.598 & 2.974\\\\\n\\end{tabular}\n",
            "text/plain": [
              "  par_pctile jail_pooled_pooled jail_asian_pooled jail_black_pooled\n",
              "1 1          5.587              0.4098            10.430           \n",
              "2 2          5.033              0.3936             9.618           \n",
              "3 3          4.627              0.4104             8.644           \n",
              "4 4          4.445              0.4954             8.586           \n",
              "5 5          4.172              0.4271             8.046           \n",
              "6 6          4.048              0.3178             8.032           \n",
              "  jail_hisp_pooled jail_natam_pooled jail_other_pooled jail_white_pooled\n",
              "1 3.499            7.073             2.007             3.733            \n",
              "2 3.290            5.996             1.597             3.464            \n",
              "3 2.931            6.418             1.906             3.460            \n",
              "4 2.776            5.662             1.667             3.246            \n",
              "5 2.634            4.995             1.573             3.146            \n",
              "6 2.490            5.258             1.598             2.974            "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## All races"
      ],
      "metadata": {
        "id": "k4jIRDD6FHmk"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**1. Create a scatter plot showing the relationship between incarceration rates and parent income rank for the whole sample (all races and genders).**"
      ],
      "metadata": {
        "id": "shmCeVjn4cBq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Your Answer Here\n",
        "\n",
        "# START\n",
        "\n",
        "# scatter plot\n",
        "# the next two lines of code are essential for creating the bare-bones plot\n",
        "base_plot <- mobility_pct %>% \n",
        "  ggplot(aes(x = par_pctile,y = jail_pooled_pooled)) + geom_point() +\n",
        "  # the rest of this is just labeling and formatting to make things look nice\n",
        "  ggtitle(\"Relationship between Incarceration and Parent Income Rank.\") +\n",
        "  xlab(\"Parent Income Rank\") +\n",
        "  ylab(\"Percent incarcerated\") +\n",
        "  theme_bw()\n",
        "base_plot\n",
        "# END"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "0Dr-iwGQ4X4p",
        "outputId": "be276edd-0fd8-4144-8246-c179a5f7594d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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ZDUAyQpQKIBknqAJAVINEBSD5CkAIkG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\nuQHJESCp5ndIfPm5dZr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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**2. Comment on this \"scatter\" plot. For example, you might consider whether the relationship appears linear, whether this looks like a \"scatter\" plot, and on the correlation of these variables. What is your takeaway about the relationship between parental income and incarceration rates?**"
      ],
      "metadata": {
        "id": "SjFezyI3FE4y"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### START\n",
        "\n",
        "The relationship between these two variables is negative: children from poor families are incarcerated at higher rates as adults compared to children from rich families. The \"scatter\" plot is quite streamlined and not very \"scattered.\" In fact, the relationship looks very quadratic or logarithmic. \n",
        "\n",
        "Aside: The reason for this striking, clear relationship is because the data is very rich (it is a summary of all families who file taxes in the U.S.) AND the relationship between these variables is very strong/robust. We will discuss non-linear regression later in the course. \n",
        "\n",
        "#### END"
      ],
      "metadata": {
        "id": "qpzs74YOF-p7"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**3. Overlay a linear regression line to your plot. Comment on the fit of this regression line to the data.**\n"
      ],
      "metadata": {
        "id": "Xf4cl8rSH62f"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Your Answer Here\n",
        "\n",
        "# START \n",
        "base_plot + \n",
        "  geom_smooth(method = \"lm\", se = F, formula = y ~ x,color = \"blue\") \n",
        "# END"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "TiS5yLwhIlg7",
        "outputId": "348409a1-f65f-46b1-edb0-67c1e07e06c0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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Nue0qGzs3NqampycnLm007WXfUtd60+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\nAsEOAAAAQE0g2AEAAACoif8HeAFesM1hcq4AAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### START\n",
        "\n",
        "The linear regression line fits the data decently well. It is quite clear that the real relationship is between the variables is non-linear, but the linear model does a decent job at describing the negative relationship between the two variables. \n",
        "\n",
        "*Note: You could have said either \"well\" or \"not well\", so long as you justify your response. *\n",
        "\n",
        "We will discuss non-linear regression later in the course. One way to tell that the true relationship between the variables is non-linear is that there is a **systematic** change in the sign of the residuals: for low values of X, the residuals are positive; for middle values of X, the residuals are negative, and for high vlues of X, the residuals are positive again. In constrast, if the linear fit was good, the data points would look \"randomly\" scattered around the regression line, correponding to \"random\" error. \n",
        "\n",
        "#### END"
      ],
      "metadata": {
        "id": "IS7Kg4SkJw8a"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**4. Run a linear regression of incarceration rate on parental income rank. Interpret the coefficients and comment on their statistical significance.**"
      ],
      "metadata": {
        "id": "G8hG6m5mUmnt"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Your Answer Here\n",
        "\n",
        "# START \n",
        "\n",
        "lm_all <- lm(jail_pooled_pooled ~ par_pctile,data = mobility_pct)\n",
        "summary(lm_all)\n",
        "# END"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 329
        },
        "id": "aRLq0NwyUk6L",
        "outputId": "00a36f3f-6fd0-41a4-cf68-bb8b48af8a01"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "\n",
              "Call:\n",
              "lm(formula = jail_pooled_pooled ~ par_pctile, data = mobility_pct)\n",
              "\n",
              "Residuals:\n",
              "    Min      1Q  Median      3Q     Max \n",
              "-0.4944 -0.3486 -0.1082  0.2401  1.9691 \n",
              "\n",
              "Coefficients:\n",
              "             Estimate Std. Error t value Pr(>|t|)    \n",
              "(Intercept)  3.659181   0.088678   41.26   <2e-16 ***\n",
              "par_pctile  -0.041263   0.001525  -27.07   <2e-16 ***\n",
              "---\n",
              "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
              "\n",
              "Residual standard error: 0.4401 on 98 degrees of freedom\n",
              "Multiple R-squared:  0.882,\tAdjusted R-squared:  0.8808 \n",
              "F-statistic: 732.6 on 1 and 98 DF,  p-value: < 2.2e-16\n"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### START \n",
        "\n",
        "Intercept: The regression estimates that 3.66 percent of children with the very poorest parents end up incarcerated as adults. \n",
        "\n",
        "Slope: Increasing the parental income rank by 1 is associated with a 0.04 percentage point decrease in the likelihood that a child ends up incarcerated as an adult. \n",
        "\n",
        "Alternatively, increasing the parental income rank by 10 is associated with a 0.4 percentage point decrease in the likelihood that a child ends up incarcerated as an adult.\n",
        "\n",
        "Both coefficients are highly statistically significant. We can tell this because the p-values for both coefficients are very small (p < 2e-16 = 2 * 10^-16 = 0.0000000000000002). We should have expected this because there is a clear, negative relationship between these two variables as shown in the plot.\n",
        "\n",
        "#### END"
      ],
      "metadata": {
        "id": "bLF2gEXceUF9"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**5. Divide the sample into \"rich\" and \"poor\" families by defining your own cutoff point. (Note: solutions will use the median, where the \"rich\" group includes the median.) Estimate two regressions of incarceration rates on parental income rank separately: one regression for \"poor\" and one regression for \"rich\" children. How do the coefficients differ between the two groups?**"
      ],
      "metadata": {
        "id": "tqvX9XI1RsPm"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Your Answer Here\n",
        "\n",
        "# START\n",
        "\n",
        "# create variable indicating \"poor\" families\n",
        "# 50 is the median\n",
        "mobility_pct <- mobility_pct %>% mutate(poor = (par_pctile < 50))\n",
        "\n",
        "# regression for \"poor\" families\n",
        "lm_poor <- mobility_pct %>% \n",
        "  filter(poor == TRUE) %>%\n",
        "  lm(jail_pooled_pooled ~ par_pctile, data = .)\n",
        "  \n",
        "# regression for \"rich\" families\n",
        "lm_rich <- mobility_pct %>% \n",
        "  filter(poor == FALSE) %>%\n",
        "  lm(jail_pooled_pooled ~ par_pctile, data = .)\n",
        "\n",
        "# display results\n",
        "summary(lm_poor)\n",
        "summary(lm_rich)\n",
        "\n",
        "# END\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 642
        },
        "id": "2SLHvkaTgoOy",
        "outputId": "cc41ea54-a2bf-4ce4-d4d4-1657e4b52c66"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "\n",
              "Call:\n",
              "lm(formula = jail_pooled_pooled ~ par_pctile, data = .)\n",
              "\n",
              "Residuals:\n",
              "     Min       1Q   Median       3Q      Max \n",
              "-0.27202 -0.16982 -0.08299  0.07822  1.23827 \n",
              "\n",
              "Coefficients:\n",
              "             Estimate Std. Error t value Pr(>|t|)    \n",
              "(Intercept)  4.421633   0.082394   53.66   <2e-16 ***\n",
              "par_pctile  -0.072901   0.002869  -25.41   <2e-16 ***\n",
              "---\n",
              "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
              "\n",
              "Residual standard error: 0.284 on 47 degrees of freedom\n",
              "Multiple R-squared:  0.9322,\tAdjusted R-squared:  0.9307 \n",
              "F-statistic: 645.9 on 1 and 47 DF,  p-value: < 2.2e-16\n"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "\n",
              "Call:\n",
              "lm(formula = jail_pooled_pooled ~ par_pctile, data = .)\n",
              "\n",
              "Residuals:\n",
              "      Min        1Q    Median        3Q       Max \n",
              "-0.062354 -0.028938  0.004095  0.020914  0.149026 \n",
              "\n",
              "Coefficients:\n",
              "              Estimate Std. Error t value Pr(>|t|)    \n",
              "(Intercept)  2.0561967  0.0292264   70.35   <2e-16 ***\n",
              "par_pctile  -0.0195245  0.0003824  -51.06   <2e-16 ***\n",
              "---\n",
              "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
              "\n",
              "Residual standard error: 0.0402 on 49 degrees of freedom\n",
              "Multiple R-squared:  0.9816,\tAdjusted R-squared:  0.9812 \n",
              "F-statistic:  2607 on 1 and 49 DF,  p-value: < 2.2e-16\n"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### START\n",
        "\n",
        "All coefficients are statistically significant. Especially noteworthy, in terms of magnitudes, is that the slope coefficient is much larger (more negative) for poor families compared to rich families (-0.0729 versus -0.0195). \n",
        "\n",
        "#### END"
      ],
      "metadata": {
        "id": "aS3_OCYhi_gp"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Bonus: plot the points and two regression lines separately by the variable indicating \"poor\" or \"rich\" families that you just created.**"
      ],
      "metadata": {
        "id": "5cmBmhmagooa"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Your Answer Here\n",
        "\n",
        "# START\n",
        "mobility_pct %>% \n",
        "  # the next three lines are essential to creating the plot\n",
        "  ggplot(aes(x = par_pctile, y = jail_pooled_pooled,group = poor,color = poor)) + \n",
        "    geom_point() + \n",
        "    geom_smooth(method = \"lm\",se = F,formula = y~x) + \n",
        "      # this code makes the legend look nice and sets the colors\n",
        "      scale_color_manual( name = \"\",\n",
        "                          breaks = c(\"TRUE\",\"FALSE\"),\n",
        "                          values = c(\"red\",\"blue\"),\n",
        "                          labels = c(\"Poor\",\"Rich\")) +\n",
        "  # this code is for labeling and formatting\n",
        "  ggtitle(\"Relationship between Incarceration and Parent Income Rank.\") +\n",
        "  xlab(\"Parent Income Rank\") +\n",
        "  ylab(\"Percent incarcerated\") +\n",
        "  theme_bw()\n",
        "\n",
        "# END"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "UDGitnrlSy5w",
        "outputId": "649804fd-4a96-41bf-f526-436f31b90e28"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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Ecu8EopcEnZOf2N4NzylAqNRmNaWlpK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\nD3ZM7NRqtVar5ThOSO8qKytbt24tVIiOjv7111+FxYyMDJVKV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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## By race"
      ],
      "metadata": {
        "id": "GY4MqT-gHot6"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**6. Now plot the relationship between incarceration rates and parental income rank for at least two race/ethnicity groups of your choosing. (Note: The solutions will include all race/ethnicity groups.)**"
      ],
      "metadata": {
        "id": "cCv6cjdOHVlN"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Your Answer Here\n",
        "\n",
        "# START\n",
        "\n",
        "# scatter plot\n",
        "mobility_pct %>% \n",
        "  ggplot(aes(x = par_pctile)) + \n",
        "  geom_point(aes(y = jail_white_pooled),color = \"blue\") +\n",
        "  geom_point(aes(y = jail_black_pooled),color = \"red\") +\n",
        "  geom_point(aes(y = jail_hisp_pooled),color = \"orange\") +\n",
        "  geom_point(aes(y = jail_asian_pooled),color = \"green\") +\n",
        "  geom_point(aes(y = jail_natam_pooled),color = \"purple\") +\n",
        "  geom_point(aes(y = jail_other_pooled),color = \"yellow\") +\n",
        "  ggtitle(\"Relationship between Incarceration and Parent Income Rank.\") +\n",
        "  xlab(\"Parent Income Rank\") +\n",
        "  ylab(\"Percent incarcerated\") +\n",
        "  theme_bw() \n",
        "\n",
        "# END"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "mZAeku94H2Qq",
        "outputId": "d06d4d5b-bb87-4987-b971-f0ae980bfb78"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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QAAGATBDgAAwCAIdgAAAAZBsAMAADAIgh0AAIBBEOwAAAAMgmAHAABgEAQ7AAAA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zkHwZry9AmVWs4376Ca9e6QenTTNaXiaV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\n5LmS/lYHpSGwFH5lsjePm6+2K64u7rxHxEkXQym86qJzITW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xd0m1OLCKImACnAAAIABJREFUI8jXACBXSKan0pjKne2K1W9tskvsbCEc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\nrkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# START\n",
        "\n",
        "# more streamlined way to plot, to see the legend\n",
        "\n",
        "# Reshaping the data first\n",
        "mobility_long <- pivot_longer(mobility_pct, starts_with(\"jail_\"),names_to = \"jail_race_pooled\", values_to = \"jail_pooled\")\n",
        "mobility_long <- mobility_long %>% mutate(race = str_remove(str_remove(jail_race_pooled,\"jail_\"),\"_pooled\"))\n",
        "head(mobility_long)\n",
        "\n",
        "# scatter plot\n",
        "mobility_long %>% \n",
        "  ggplot(aes(x = par_pctile,y = jail_pooled,color = race)) + \n",
        "  geom_point() +\n",
        "  scale_color_manual( name = \"Race\",\n",
        "                      values = c(\"blue\",\"red\",\"orange\",\"green\",\"purple\",\"yellow\",\"black\"),\n",
        "                      breaks = c(\"white\",\"black\",\"hisp\",\"asian\",\"natam\",\"other\",\"pooled\"),\n",
        "                      labels = c(\"White\",\"Black\",\"Hispanic\",\"Asian\",\"Native American\",\"Other\",\"All races\")) +\n",
        "  ggtitle(\"Relationship between Incarceration and Parent Income Rank.\") +\n",
        "  xlab(\"Parent Income Rank\") +\n",
        "  ylab(\"Percent incarcerated\") +\n",
        "  theme_bw() \n",
        "\n",
        "# END"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 706
        },
        "id": "IFEAbTIGPy9S",
        "outputId": "18cdbe5d-6b47-4dff-9202-a3adedbb25e5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A tibble: 6 × 4</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>par_pctile</th><th scope=col>jail_race_pooled</th><th scope=col>jail_pooled</th><th scope=col>race</th></tr>\n",
              "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>1</td><td>jail_pooled_pooled</td><td> 5.5870</td><td>pooled</td></tr>\n",
              "\t<tr><td>1</td><td>jail_asian_pooled </td><td> 0.4098</td><td>asian </td></tr>\n",
              "\t<tr><td>1</td><td>jail_black_pooled </td><td>10.4300</td><td>black </td></tr>\n",
              "\t<tr><td>1</td><td>jail_hisp_pooled  </td><td> 3.4990</td><td>hisp  </td></tr>\n",
              "\t<tr><td>1</td><td>jail_natam_pooled </td><td> 7.0730</td><td>natam </td></tr>\n",
              "\t<tr><td>1</td><td>jail_other_pooled </td><td> 2.0070</td><td>other </td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA tibble: 6 × 4\n\n| par_pctile &lt;int&gt; | jail_race_pooled &lt;chr&gt; | jail_pooled &lt;dbl&gt; | race &lt;chr&gt; |\n|---|---|---|---|\n| 1 | jail_pooled_pooled |  5.5870 | pooled |\n| 1 | jail_asian_pooled  |  0.4098 | asian  |\n| 1 | jail_black_pooled  | 10.4300 | black  |\n| 1 | jail_hisp_pooled   |  3.4990 | hisp   |\n| 1 | jail_natam_pooled  |  7.0730 | natam  |\n| 1 | jail_other_pooled  |  2.0070 | other  |\n\n",
            "text/latex": "A tibble: 6 × 4\n\\begin{tabular}{llll}\n par\\_pctile & jail\\_race\\_pooled & jail\\_pooled & race\\\\\n <int> & <chr> & <dbl> & <chr>\\\\\n\\hline\n\t 1 & jail\\_pooled\\_pooled &  5.5870 & pooled\\\\\n\t 1 & jail\\_asian\\_pooled  &  0.4098 & asian \\\\\n\t 1 & jail\\_black\\_pooled  & 10.4300 & black \\\\\n\t 1 & jail\\_hisp\\_pooled   &  3.4990 & hisp  \\\\\n\t 1 & jail\\_natam\\_pooled  &  7.0730 & natam \\\\\n\t 1 & jail\\_other\\_pooled  &  2.0070 & other \\\\\n\\end{tabular}\n",
            "text/plain": [
              "  par_pctile jail_race_pooled   jail_pooled race  \n",
              "1 1          jail_pooled_pooled  5.5870     pooled\n",
              "2 1          jail_asian_pooled   0.4098     asian \n",
              "3 1          jail_black_pooled  10.4300     black \n",
              "4 1          jail_hisp_pooled    3.4990     hisp  \n",
              "5 1          jail_natam_pooled   7.0730     natam \n",
              "6 1          jail_other_pooled   2.0070     other "
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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QAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAA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808TERFXHpxoQvbbSv1qpX5olYtoQDCu8\nCKtrFL4ZVPcOQQihhklQFHwMwAeo5+TzGRkZAFBzIXUKheLq6iq5V87EiRMlzUbTp0/fsGFD\nTk4Oj8d7+PDhhQsXzMzMAGDNmjV79uy5ePHihAkTAGD06NFdu3atX3pNz+cLOw6H8+TJEz6f\n7+bmZmlpaWlpqYG0dFFxcbG/v//bt2+lkevXrwcFBf3xxx+qPZFeC8LSU2tz16EG+fZbiI6W\nD06cqI1UEEKoJoaioJ7yzUA1SVZRV7icgVAoJJEUtFA4OTlVZsNgAACHw5GsjGBdfZ6BrKws\nyQ1HR8d6p9f0fKbJZ8eOHZaWlt27d+/Vq5eFhcXcuXO5ctPoo08iIyNlqzqJM2fOFBUVaSUf\n1BhNngw//FAtMn48zJtXLRIdDd27g74+tGwJs2dDYaEmE0QINW8jawnWf7ZUFxcXAEhOTpaL\n8/n858+fS+6VU7Pak0zBwWazxTKWL18uuVdPr1ktUv4ZddXg58+fX7hwoZ2d3YwZMxgMxq1b\nt/bu3UsikXbt2qWx/HRIfn5+zaBIJHr37p2k6RghAICDB2HKFLh1CwQC6NMH+vevdu+1azB4\ncOXtggIID4eEBIiNBVrzngIaIaQh3wD8CLBdJuIA0KAvfVtb2969e2/YsMHPz0+2AgsPDy8p\nKZmo3CULSRtecnKydC6OrKwsBweHhiTWVNVV2IWFhdnZ2aWkpDCZTElk+vTp4eHh69evNzIy\n0kh6usTOzq5mkEql2traajwX1Lj17Am1jTpasEA+Eh8PR4/CzJnqTgohhAAAYBvAMIBLACUA\nngA/ADR0wtoDBw706tXLy8tr3bp1HTp0KCsrO3XqVFhY2ObNmyUVG4PByMzMLCkpqa1Xuqur\n64ABAxYvXnzq1KlWrVpFREQsWbIkIyPDWuEk8M1bXZdik5KSvv/+e2lVBwCzZ8/m8/kpKSnq\nT0z3jB492tnZWS44d+5cQ0NDreSDdA+bDc+fK4gnJWk8FYRQc+YDEAZwFGBew6s6AHB2dk5M\nTOzevXtwcLCbm9vAgQNTU1OvXr26aNEiyQ6zZs3au3dvp06d6jjI77//3rp1686dO5uZmZ08\nefLKlStY1SlUV4sdi8Vq3bq1bESyKRl4jOQwGIzIyMipU6fev38fAMhk8owZM3799Vdt54V0\nB40GVCrw+fJxAwNtZIMQQirTpk2bAwcO1HbvggULFny6XiE7zMLKykosFktvnzlzpuZjFQ7L\naM4+M85FrgOjZGyL9FVGcjp06BAbG5udnZ2Xl+fi4iLpWsfj8V6+fGlpaYk97dBnkMkwciSc\nOycfHz1aG9kghBDSPTgRmooRBOHg4NCrVy8zMzORSLRmzZoWLVq4urqam5v7+PhIBmwjVE15\nOZw9C2FhEBUFO3aAXHfg//s/6NVLS5khhBDSMZ9pscvKynrw4IF0s7i4GACeP38u270Rl4ut\njWS9FOlmTEzMyJEj4+LiDBr3lTVembgkXUQ1BJN2ZFzWQu1iY2H8eMjLq9zs3BmuXIEbNyAp\nCUxNYdQo6NFDq/khhBDSJZ/53t64cePGjRvlgj/++KPsJl6ZVYjP569fv14umJaWdvr06enT\np2slpc8TQ/IOztP9XCEXAMCwLannb/SWuBat+pSVQUBAVVUHAE+ewIwZ8L//aS8nhBBCOqyu\n72zZ1ib0pQoKCsrklnsHgE+LqzROL07yHu+omoC6/JUoZlbFyCimgTVeslePa9fgzRv54O3b\nkJEBnyZeRwghhJRXV2G3evVqTaXRBJmYmFAolJqjdSwsLLSSjzKehssvK8IrFaef4nks1tdK\nPk3f+/eK4wUFWNghhBCqB2yJURcDAwPJ4sSyjIyM/P39tZLPZ4lFwMoT1YyzchUEkWoorN5I\nJKzqEEII1Q8Wdmq0e/fuXjLjGVu0aHH8+PE2bdpoMaU6ECSgmytYDZDREt8katO/P/TpIx+c\nMwcsLbWRDUIIIZ2H/eLVyMTE5Pbt27du3Xr8+HHLli19fX3Nzc21nVRdnCfpJW3lyEYodMJx\nPK5SqjZkMpw5A8HBlXPXUSgwdy7gpNYIIYTqCws79SIIon///v3lFnpvrDrN0WO9EWWc4Uk2\n9VoQX6+nG7fDFjt1srKCs2ehtBTevAEHB6CrYPUehBBCzRYWdqgKQYYev9LdZukVPRXSDAmL\nrmSakYKLs0j1jI3B2FjbSSCEENJ5WNgheUb2JCP7ptxKxysVFz0VioVg6kbWN8XKFSGEUNOB\nhR3SJrEQ0v/gZfzJ+/hWZNiW1PEHvbZDqGo9Y8YZXtw6Dp8lBgAKnejyo17HGXpqPSNCCCGk\nMU25YaYRys/PnzlzpoODQ+vWrceNG/f8+XOVn0LIg4J4waur/NKXOjBNSdx6zoNV7KKnQk6R\n+H2i8FZQRdoxnvpO9+6R4N4ytqSqAwABWxy/gfM6mq++MyKEEEKahC12mlNeXt6rV6+XL19K\nNs+dO3f9+vXExMR27dqp6hQfUiDm/z6Wv6os6doOofbaQqcwGunVxpJ0YdoR+SmREzay7Ucx\n1XTG54qqxtTDvDaD1NtMiBBCCGkGtthpzubNm6VVnURZWVlISIiqjs8rFT9aQkirOgB4dYX/\naA2njodoV+ETYc2gkAsfniuIq8THfAWtmB/f6kDTJkIIIaQMLOw059GjRzWDDx8+VNXxX13l\ncwrkg5lnedIrj40Nmaa4KbG2eMMZtFLwhmfa6PhfgUAAR4/C7NmwaBFcuaLtbBBCCGmTjn+l\n6RQ9PQWd9PX1VbYMa8U7BQWcWAjs9w0q7IqeCp/s5sZv4GRf5ItV2pRm5U2peZmY0ZJk2pGs\nytPIcJmi4L/A9Qddm4GZx4PLl2HXLrh4ET58gK+/hqlTITwctm+HoUNhyhRt54cQQsoSCAQE\nQVy9elV6Q9sZ6TzsY6c5w4YNu3jxolxw+PDhqjq+gbWChi4SFRgt698A9mQ3V3YtimcHyU4B\n1Bcn+WU5IqY14RRAc5mqR6rvm4huSXRfrR+7lC2NkPWJXlvpJLV1eLPsRu61hf5oLYdXKgYA\nCoPoukTP1kenOti9eAGjRsGLF5WbJiZQUlJth2PHYOBAmDhR86khhJqMd+/elZSUtGvXjkJR\nWZ1QUFBga2traWmZk5NDJqvrBzzCFjvN+eGHH+TKODc3t/Xr16vq+G0HUxk28sEOE2n1HjxR\nEC+QW2Gs6KnwwUrOh+dCIUdcmiWK38B5tJpd28OV4ehPG3GZ6TKZZvsN1W2m3uhrzFY91ftj\no91Y2ri7hoNPGww8aeB/z9Blqk7NdSIUQkBAVVUHIF/VSVy4oLGMEEJNzOPHj728vKysrJyd\nnc3NzXft2qWqI0dERPTu3ZvH412+fFlVx0Q1YWGnOSQS6eLFiydPnpwyZcqECRN27doVHx/P\nZKpsBCiVSXhtE7dwrvoZ5DiO5rm8/ktU5fzz+XlAXvzOa+BYB9OOZK/V9AEHGZ7L9Zm2mnhD\nUplEy+6UVj0pNONGOl64VgkJkJz8+d0+flR/KgihJqiwsHDo0KFxcXGSzdLS0vnz5x87dqzh\nRxaJRAcOHAgMDAwICAgPD1fyUUKhkCCIiIgIe3v7qVOnAsDTp08HDhxoampqYmIyaNCgzMxM\nyZ5v3rzx8/NjMplWVlZBQUEVFRUAkJ+fHxAQYG1tbWBg0Ldv38TERMnOR48edXFxodPpkp05\nnMY7yrAesLCTl5sLly5BTAyUl6v+4ARBBAYGHjly5PTp08HBwQp73TWEcXsYdpExIorpe9zA\n/75hz810cgPOwGcptVtRiroGsSJ5798rtVvXrnXdy+PBrl0wbhyMHQthYcCVn3EGIdRsHTx4\nMC8vTy64evXqhh85KiqqsLDQ399/6tSp0dHROTk5yjyKTCaTyeTw8PBz587t3LkTAMaNG9eq\nVavc3NzXr18bGhpOnjxZsueYMWOoVGpGRsadO3du3769dOlSABg9ejQApKSkFBYW9u7de8iQ\nIWw2Oysra9q0abt372axWPfu3bt///727dsb/gQbD+xjV0UshkWLYM8e4PMBACwtYf9+8PNT\n+3m5XO5///1na2tLpdazs5dYBMSnEp0gg6nLF/dd4JWKazZfteigVN1Poetau5fucnT8/D5t\n28KSJbXey+VC374gHYt9/jwcOwb37gFdpmW3rAz274fHj8HEBMaOhQEDGpY0QkhnZGRk1Azm\n5OTweDwarUHjzPbu3Tt+/Hgmk9mlSxd3d/eDBw8q3xNp9OjRXT/9Xr1//76enh6DwQCAiRMn\nBgQEiMXix48fx8XFnTp1qlWrVgBw4sSJvLy8xMTEhw8fXrhwwczMDADWrFmzZ8+eixcvOjk5\nicViU1NTMpns4OAQHx/fxDr8NZ3CTiwWi8X1Gf4peZRYLA4LE4eFVdUoBQXw3XcQFyd2cVFZ\nknJKSkpCQkKOHj0qFAppNFpQUNC6desk71clFT8TJvzKfZ8oJEhg9TWlfTAYun3B6yCoECeH\n8TJO8fgfxXotCJepNLfZVYMhnL6lvviDV5Zd1zRvVCbR0ptcv1e+NtKjqfawWiF9d9X/EEVF\nRGgoXL0KLBZ4ecHAgXDtWrUdevUCKhUePQIaDQYNEm/cCMbGUNsZN20i5GbYSU6GtWvF0k/Y\n3Fzi669B+pN9715YulT866+yT0enqeB/pHGQPpEm8FygSTwRlX9waeU1sbCwqBk0MTFpYFWX\nnZ0dHR19+/Ztyea0adPWrVu3evVqJZszHGV+0yYlJa1bty41NRUAuFwun88XCoWZmZkEQdjb\n20v28fDw8PDwOH36NABYW1vLHiorK2v8+PGzZs3y8vLy8vLy9fUNDAx0cnJqyLNrbJpIYScU\nCsvLy0tLS+vxWMlfDpvN3rGDBlCt8amiAnbv5m3Y0KDxAdSguA8AACAASURBVHWc97vvvouK\nipJs8ni8sLCw4uLiHTt2KHkE1iu49S0h/JRd7g3+uwTo/2e5vrmyOcQvI/6LrrzN/SBO3sZl\nFXI7/lj1UeK9F55uJfLvgIgHhg5gO1T8IqLqjGQauK8Ucyll3Pq88LWS/I/w+XyF/6F8Fvx3\nFT7mEvRWYDNQrGeqylOrnOS5cOt9uZPDMfTxIaemVm5evizW1xcMHUq9ehVEIiAI3rhx7N9+\nE7doUe1Rtf8hMKOiav7NC//5p3zpUsltgx9+oMpdiNm06WPfviJHR3J5eSmJRJB0u/+GWCwW\niUT1+6xoVKQfXE2ge5BQKCwrKyMI3W77r/uDqx64XK5QqOmOLoGBgTt37pR7U02bNq2Bhw0P\nDxeJRMOGDZNsCoVCFosVGRnp7++vzMOl3ZYyMzOHDh0aGhoaFRWlr6//999/Sy62St48cnUw\nnU4HADabXXNasf379y9btiwqKury5cvr168/efLkhAkTGvYUG5EmUtiRyWQjIyMTE5N6PJbD\n4bBYLAaD8fatgm+s9+/1TEzUMnAyLi5OWtVJHT9+/JdffrGzs1PmCMkrKoTsauMbeB+InONU\n7zVKtfkVpQj/i5bvRvfyJHgEGTFaVr4UJibQ6iCIhSDii8n6BAB0nChKP80rfyUyaEVqN45m\n7KD6r3mRSFRcXEylUo2MjORzfir8d+pHdmHlX++LfaR+exnqHkjbEGw2myCI+s9WuG0bSKs6\nAAAgOBzqx4/w4QPk5EDbtjRj4y/7Ha2oAYAsElX+7fB4EBNTcwfmtGnw7h0AQMuWsGkTTJr0\nRedsVCTfKMbGxtpOpKGkH1wq76qreSUlJUZGRiQd/81QxwdX/ejr66twqhElde7cee/evfPm\nzfv4aQzW8OHDGzh7A4/HO3z4cGho6BSZWTZDQkLCw8OVLOyk4uPjBQLBkiVLJE19Dx48kMQd\nHR3FYnFaWpqbmxsAPHr06NGjRwMGDACA5ORkb29vyW5ZWVkODg4CgeDDhw92dnZBQUFBQUHB\nwcF79+5tSoWdbv8hqVabNgqCypVY9fFCdtIKJeI1Facq+DH3IU3ZBbJKMhQ8XCyC0kz5IxBk\nkFR1AMCwInVZqN97O6PrUn11VHV1EAvh9vwKaVUHALwy8Z2FFY12aQ0V+DQ2rZpHj8DICDp3\nhi+qTiQ/wb/+WsFdPXpU3uDzQWELgaSqk9yYPBkuXfqC8yKEdMrUqVNfvHhx7NixnTt3xsbG\nXrp0qYET6Z89e7a0tDQ4ONhOxrx582JiYhR26auDnZ2dUCh88OABl8s9derUvXv3ACAvL8/d\n3b179+6LFy/Ozs5OT0+fNWtWamqqq6vrgAEDFi9e/Pr1az6fv2/fvk6dOuXl5R0/frxr164J\nCQkikSg/P//Zs2dN7FIsFnZVFi+WjzCZMGuWuk4n6c5Zk7m5sldSqYomqCMrPb0JzVDxhQ+a\nUSO9IFKcKqzZ4Y9dKM6/L9BKPpqgsDHmiz5kxWI4cAAcHIBOBzMzYLPBpvpsh61awdq1lbcN\nDECZLqWhoV+QAEJI19jY2EyaNGnevHk9pL/6GmDfvn1jxoyR+2rr06dPhw4dlJ/3RMLb2zsk\nJGTUqFHW1tY3b96MjIz09PR0d3fPycm5dOkSnU53c3Pr1auXl5fX5s2bAeD3339v3bp1586d\nzczMTp48eeXKFWtr6ylTpvzwww9+fn50Or1r16729vZbtmxp+NNsPBrvNSzNmz0b/vsPNm+u\nnP+hdWs4cECpYYj107dvXzs7O7kh3507d/bw8FDyCG0GU4vT5NtX2g5Wdmit1dcUujkh2wAG\nAMbtSKaujXR8EK9Mccscr7zpttgNHw41Z5AaMeILjrBrFyxYUHm7uBjCw2HAABgxAm7dApEI\n+vaF1avB0rJq/z17Pj8MVulGZYQQunPnjsJ4Wlqa5Ebd404Egmo/3Tdt2rRp0ybpZnx8vPR2\nZGSk3GOtrKzOnDkjFySRSKGhoaFN9wcqtthVs3YtvHkD16/Dw4eQkQFDhqjxXAwG49SpU7ID\ndhwcHE6fPq18R5NOQXpWX1crzW18wWmCsoUdlUn0DmPIts/RLYk+OxlEI63rwNiRRCh6bUza\nN9aMG27cOPj++2qRdu1g2zZlH85mw4oV8sGYGBg1CtLS4MULOHAAqg8Zg/794X//g/79wcQE\nHBygc2cFh1U0bg4hhFBjgC128szN4ZtvNHQub2/v58+fX7p0KScnx8nJacSIERQK5fjx4wkJ\nCUwmc9iwYXU3g5MoMPCkwasr/II4AUEhWvWgMLuy4Euuo7bqSfGLMcz5h896IzJyINkPp1KZ\njfQ6LAAwWpJcp+s9O1hthKnDKKqZW9Mt7ADg+HHw84MrV6CsDLy9YeZMUH5CnKwsxatQPHkC\ngwfX+qg+faqGUNy9C717y+8wdaqyCSCEENIsLOy0zNDQcOKn9dpLS0u9vb0fP34s2dywYcPS\npUt/++23Oh5OkMBuGNVuWGUrncKFQ+umb0Y4T2rQBEXqJuLDhxdCwUexSXty16X6NCMi9TCX\n+0FMMyTaf0tzX6DzQwI/z8+vnjNlGxoqjsuO2hOL4ehROHYM8vKgfXsICYG+favu7dULtm2D\n5curFqgYOxZ+/rk+ySCEEFI/LOwakSVLlkirOolNmzb5+PgMHDhQWympilgABAUAgFsifrKL\nm39fIBKILT0p7gv0GFZ1XXp+Gyu4t4zNeiMCADINOs7U81ik3zlYT+FSGahSejpcvAhFRdCp\nE3h5waNH1e41MIChQ6s2Fy2CsLDK2xkZ8M8/cPo0yI78//FHGD2afemSiMVi9O9PKBxXixBC\nqHHAwq4ROXfunMKgThd2WX/zn+zmlGWL9IwJu2HU/24Lyl9VjmwtyeC9vs4fGWVIt1RcorHe\niG7NqZCOjRDy4MluLt2C5DyJhlVdrcLDYcGCqgY2R0do1Qrevq3c1NeH8PCqqX2ePKmq6qTm\nzIHRo6sNyLW3502ezOfzGbUM5UYIIdRIYGHXiLBY8tMFA0B5ebnmM1GVzLO82JDKdSo4xeLn\nJ3hyO3CKxAm/cXptVTxHS/ppXs0Rr0/DuY382rE2pabCwoUgu9BFZiaMGAFDhkBqKtjYgL8/\ntGtXdW9srIKDfPgAz57Bp5UZEUII6RAs7BoRd3d32ZHbEgUFBV26dCkpKfHw8Fi9erW7u7tW\ncqsHsQDiN3x+saOC+Fpnofv4n4LJlj++FYlFoHB4LILz56HmAlNRUXD6tOIhF7XNa6/x+e4R\nQgipBH49NiJbt26Vi9Dp9Js3bz5+/PjVq1eRkZHe3t41K79G6+NbEffD52eYI9VeQkhXNqsW\ntFQ86QkCqGWVWKEQamv37ddPwRzINjbg6qrixBBCCGkEfkNW9zEHHkyDKHe41hOerQfpcvca\n0adPn2vXrnXr1k2y2mD37t3Z7GoJcDicoKAgTabUEBSDz3WDEwMAWPeutbJzHE+j1Fhdw3ky\nXoetXceOCoItW9Y685yTE/zyS7WInh4cPYotdgghpKOwsJNRngFRnSHrCJQ8gcJ78Hgl/DsI\nxBpdrsrX1zcuLo7FYpWWliq86hofH8/jyfdUa5z0TYmWXvL1QbXGNgKMHUgeS2pdIMvYgdR7\nO13ftKq26/AdzW1WM5jfpN6+/RZqrlyyaRPUMev1Tz/BjRvw3XfQrx/Mng2PH2tuIkeEEEKq\nhr/LZcTPB371K1YFd17cOHf5yYSyMujSBUaNAhIJcnMhMxNatwZHRyDUMzSTRqMBAJWqYA0J\nCoVCJuvMfLw9N9OvTvhYkV/ZVY5Eha/+jy4WQf49gYgvtvyK4jJZQZucrDYDqa16UgqThbwy\nsZkbmWmLP0XqpKcHly/DkiVw4QJwONC2LaxeDZMmfeZRPj7g46OR/BBCCKkXFnYy3suvZ7fj\n6oKfTo/h8is3u3YFOzs4f75ys3dvOHoUHBzUlc7gwYP37NkjF/T19dWhws6wDcnvJjPzLL8k\nXahvTtgNpUqW/3L5ksupVAOiVU98oyrN2hr++AOEQmCxwNhY29kghBDSKPy+lFG9T35CtufC\nE9Wm+EpMhMTEqs07d2DcOHjwAGjq6fQ1fPjwKVOmHD16VBqxtLTct2+fWk6mNhRGY1/Zomki\nk9VY1fH5EBMDWVng4AADBoCipuWGevsWUlPB1BTc3NRyfIQQaqKwsJNh9Q3kXpBu/fXQ/7OP\nSEqC69dh2DB1ZXTkyJGhQ4devHixpKTE09Nz/vz5pqam6joZQspITwc/P0hNrdx0dobz58HF\nRWXHFwph4ULYtw+EQgCA9u3h6FHA5S4QQkg5WNjJ8NwJBXeB+16yVVJhosyDcnLUmBEA+Pv7\n+/t/vsRESBOEQggIqKrqAOD5cxg/HhITVdautm4d7N5dtSmpI588AUtL1RwfIYSaNOyKLoPR\nGoY/A5cQaNkPbEa4fu2mzINat1Z3Wgpwak5Ci5AGxMVBUpJ88OlTuH9fNccXCmH7dvngu3dw\n/Lhqjo8QQk0dFnbV6VmAxybw+Rf6Xpy+rGeHDp/ZvX178PXVSGIAACAUCsPCwmxtbel0uoWF\nxfLly9+9excaGvrNN98MGjRo06ZNWPAh9SooUBzPz1fN8UtLFc+x/OqVao6PEEJNHV6KrZWB\nAVy5AgsXwpUrwOeDnR2EhMDZs/Dvv5U7uLrWulCTmqxbt2716tWS24WFhb/++uvu3bulK8xe\nu3bt1KlT9+7do9MVL72KUEPVNgjcyUk1xzc2BiYTai6abGurmuMjhFBThy12dbG3h7//BhYL\nCgshOxuCgiAmBhIS4Pff4c4dePwYOnXSXDJFRUXr1q2TC7KqfwUmJyfXXJcMIZVxcwM/P/ng\nsGHQpcsXHKSoCBYuBE9P6NoVFi6EwsKqu8hkqLm2iqkpBAbWK12EEGp2sMXu82g0MDOr2uza\nFbp21UIaaWlpAsHnl8G4cePGypUrNZAPaqYOHQIGA/74A8RiIAiYMAF27/6CqbpLSqBbt6ox\nR0lJEBkJSUnQokVlZO1ayM+v6lRnawtHj4KNjSqfAkIINV3YYqczDA0NldlNLBarOxPUrLVo\nASdPQmEhxMXB+/dw6lS13z2f9csv8iPJX72CTx0MAABoNDh2DDIy4Nw5+PdfePECBgxQRd4I\nIdQsYIudcsQCILT8WnXq1MnZ2fn58+d179a7d2/N5IOaNVNTqN+UinfvKgjekV/0BRwdwdGx\nPsdHCKHmDVvs6sTJhwdT4KwpnKbDla6Q948WcyGRSH/88YeFhYU0wmAw5OYrdnJy+umnnzSe\nGmrekpNh2DAwN4e2bWHGDHj3rq6dFS6Ipzur5CGEUCOHLXa1E3Lg38Hw4XHl5ockuDUc+kWB\n9RBtZeTh4ZGenn7ixIn09HRbW9tvv/1WT09v3bp1d+/epVAoPj4+c+bMMTAw0FZ6qDl69gx6\n9oSKCgCAoiKIiIDbtyEhAZhMxft/8w08fCgf1OSkQQgh1KRhYVe7rCNVVZ1U4o81C7sPH4BE\n0tB66yYmJvPmzZON7Ny5U3q7pKREE0kgJLV4cWVVJ5WeDtu3w//9X1Xk2jXYtAnS0sDGBgIC\nwM0Nnj6tutfNDXC4D0IIqQgWdrUreaIgWPYChGwgV04Ud+MGLFhQucCSpyfs2qX9NS3j4+PP\nnj2bn5/v5uY2Y8aMFtLBhgipQ3y8gmBcXNXtU6dg4sTK23l5EBcHU6bAd9/BrVsgFkO/fjB/\nPiQmwokTkJcHzs4QHAxt2zYoJT4f9uyByEgoKoIuXeDnn8HZuUEHRAgh3YGFXe0oiq4lkfSA\nRJPcTEqCkSOBza68JyEBBg2CxERt9vnev3//8uXLpZtbtmy5ffu2M36r1akkQ/TyPK8iX2Rk\nR3YKoDJaYsfTL6GvryAonbabx4PgYPl7jx6F+/dB2hl0+3ZYtKjy9uXLsHcvXLsGPXvWMx+x\nGPz94e+/KzefPoWzZ+HOHejWrZ4HRAghnYLfYbWzrTERKwDYjgaisqP3L79UVXUS5eWwfr36\nE6tFWlraatlpIwDev38/efJkLaWjG7Ii+ZeGlT/dz82K5CeHcSJ9WAUJQm0npVNGjKgr+OIF\nFBcr2EG6tmxmJqxYUe2uigr4/nsQieqZT2RkVVUnweHAzJn1PBpCCOkaLOxqZ94DOv9SLWLk\nDN12S7fS0hQ8SHJZViuuXLnC5XLlgo8ePcrLy9NKPo0fu0B8/2e2iF8V4X8U31lYIf78PNDo\nk99+A1fXapFvv61aKIJGU/woafzmTai5wHF2NnxuWp9a1Zw5BQCSkqC8vJ4HRAghnYKXYuvk\ntgpaDYE3fwO/BFp0BfvvpNdhAUBh77X6ze2lEhVyfdg/Ycu1K6JP3t4TCCrk53NmvREVPxea\nueEEHMoxMoLERIiIgIcPgU6HwYOrrTnm5ATt2sHLl9Ueoq9fNQyWx1N82Nrin0VS9GOVIBTH\nEUKoycHC7nPMvgKzrxTeExioYN6G775Te0a18fT0rBk0Nzdv28Cu6E2XkKt4lQ5hjSYkVBc9\nPZg7F+bOVXAXiQTHjoGvb7VeC2vXQvv2lbe9vRU8ysQEXFzqmYyPD9RcLvnrrwGnAUIINQ/4\nK7b+5s6VX5p87lz45huIiID16+HCBVBiZVdVGjx48KBBg+SCO3bsoFCwfFdMYbMcWQ9MOuDf\nher07AlpabBoEQwdCjNmwO3b/8/eeQZEcX1t/NleWHoVaSIoCBbsvSEaNfYS9TWWJPZETTRG\njfnHWKPGFHuJPdFoLLEl9l6xgaKCIkpRqtRl2b7vh13YwoCUXXYX7++Lc8/cmTkruzPP3HvP\nOZg9W7u3VStMmGB4yNq14HCqeLnevfHxx3oWgQBbtlTxbAQCgWBtkEd+1aHT8ccfmDwZ166B\nTke3bkhNRcOGyMvTdAgNxZkzqFOnhvyh0Wjbt29fu3bt/v37U1NTGzduPH/+/IEDB0ZHR8fE\nxLi7u7dr146kL9bFKYQR+BH7+X69Wb/mc7hs2wqXtCdQkpmJCxeQlYWmTdGxI3x9KUbRStiw\nAY0bY/dupKQgOBhz5uCDD6p19V270KMHjhxBVhbCwjBnDry8qnVCAoFAsB6IsKsuHTuiY0cA\nePMGERFaVQcgJgbjx+PUqZpzhs/nL126dPny5epmYWFh//79jx8/rm56e3vv2bOnS5cuNedQ\nlVDKIXxF4zvBzs7k12q7mGdXj/58v7QwVWXvT2/0Gaf+QJbJr1q7OXQIn32GklzZERE4cqS8\nmVAmE198Af2029WCRsOYMRgzxmgnJBAIBOuBCDujceyYnqpTc/o00tPh7m4Oh4Avv/yyRNUB\nSE5OHj58+KNHj9zc3MzjUAV4ulMa9bNYWsAEVC5NhO1+5DkFmzCOgc5C6CRO6KSqTvwRDEhI\nwLhxEAq1lrNn8eWXZDKUQCAQagaylshoUKbrKsduagoLC3fu3GlgzMjIOHDggDncqRAvDkkj\nfyiSFmhiGrIeKs6PF4mzqUMcCJbIX3/pqTo1u3dXPcqVQCAQCJWBCDujQVnfgcerbnmkKpOV\nlSWTyUrbLTmtXdRvhnn4ROnKZ3uJJrAeMjMpjBIJxWg2gUAgEEwAEXZGo18/tGljaFywQFtd\nqYZxd3fn8Xil7W/fvp0wYcK4ceM2b95MqfzMhUoOYQpFvYH8V1UtQkCoeSgL6jk7w9m5xl0h\nEAiE9xEi7IwGi4UjRzBsGBgMALCzw9KlmDvXbP5wudwZM2YYGPl8/pYtW37//fddu3ZNnjy5\nbdu2ZaU1rnloTLDtKMJRec4kRtV6+Phj+PsbGhcsIPmBCQQCoWYgd1tjUqcODhyAUIjEROTk\nYP58Mz/OFi1aNE0nbayPj4+BjLt///73339f436VSeBwwwpUDA78B5EwVevBzg7Hj6NDB02T\nz8eSJSj1glFpYmOxcSNWraKuGEYgEAiEYoiwMz5cLnx8LGKEgsVirVu3LjMz8/Lly7GxsaGh\noaX7HDt2rOYdK4uw2Vyv7tpIbSaf1nYJzzGIVPeyKho1wrVrSE3Fo0fIycG334JWvTHX5cvR\ntCmmTsWcOejcGYMG1XTubwKBQLAeSLqT2o+Li0vnzp0BSCQSAEwa24MVwAT7jSxWqhKLxWKF\nQpGRkeHh4UGr5gMYAKBSQpiiFGep7PzpHIfKnZDBRvg2m/S7suTIAq4D0z9cwHd/h0AWJisf\n/CzOfKCgs+DZgdl0BpfjSKZuLQAPD3h4GOE8Fy9i/nw9yz//YMkSLFxohJMTCARCrYMIu5og\nNRXOzmAbTjPWNC1btnx7kzXG6WcnpieAQmXuvuz5qazbAoFALBbb2trOmDFjwYIFnCpXcwJy\nnyuvfy3KilYAoDEQ9DG75bc8eiW/Za7NGQw/JZsNvt07VF3hG+XxfkJpniYfSl689PUVeb8T\nAiafaLvawp49FMZdu4iwIxAIBEosYL6w9qJSYc0auLrC0xM2Nhg6FCkp5vRn6tC509x2qVUd\nABu6g1gpfPHihVgsBlBQULBkyZJvvvlGJpM9ffr09evXlT2/XKS6OLFQreoAqBSabMNG/AgG\n3F0uLlF1avJfKmM2GeZMIVgxb99W1EggEAgEIuxMysaNmDEDWVkAIJfj0CH07w+J+VRH8gEO\nC9rRuJeS+3dFhgvs1qxZ4+zs3KhRIy8vrxYtWty7d6/i53/1ryz/lRL66YSfbJcoxKbKMJz1\nQFHamHGfwlibeH1Jfm584T89Cs6OLUw+a0EJa0wCZX7I4OAa94NAIBCsAyLsKo8oGekXUfAc\nKE+vyOVYsMDQ+OAB9u83oWvlI0zWSwj3WhZXuo9KpSooKFBv379/v2/fvunp6ZU7v/4sqEIC\nUbqphB2NapKXXquDaOP2SM+NL3x9SZ73QvnmivzCRFHMllo9QjljBlxcDI2LF5vDFQKBQLAC\nyBq7yiDLR+REJBZLM7dOaLsTglJZuwAA6enIyaGwP3liMvfeBc9VT3PZ0B3eeUh6evqiRYt8\nfX0LCgqaN28+YMAAetnhvjxXil00BrguplrxVrcLM3a3FCo9NVm3q6Gyy7iryHuh4LrQPNoy\nWTZWvPxOkqu6s7TIwPjgJ7F/fxbfo5a+pHl64tQpTJuG27cBwNsbq1ahZ09zu0UgEAgWChF2\nleHOFK2qA5BxFVeHotct0CnCIuztwWBAUWpW0MnJlB6WS4NR7JfHtTN3wdxODgyPXEVa+Udt\n2rRJqdQM9bVt2/bs2bMCgYCyp29vVtQvYoPSrv4D2abTUs2/5qZek+claEci67RnBo3W/jmk\neaqLk0VptzTZMXhutM6/8j3aWevX/u1DhaLU8JxShswHCt/eJhR2b2MUCWchFdJ92su9u7NQ\nw9q4RQvcuoWcHIhEqFuXus+1a7h9GwIBundHYGDN+kcgEAgWRC19yzcFohS82mtozHmAtLOU\n3QUCDBhgaOTzMWSICXyrGB5tma0X8pg8zWOZzxGs/GS3s06tJ8rRuBJVB+DWrVuzZs0q6/xc\nZ1qXdXzdoaO6XZhtfuAawfUyYAloH54QtJjL9enJ8uvDarecF7HbhqaT9u7mgqISVQegKEN1\n+XORgfSsPgoJsh8r8l4oVSZOr0YrI6MfzZS/4werxSf6CZ+sQfx2xoXPRKdHFZYWlzWBoyO1\nqpPJMHgwOnXC7NmYPBmNG2PVqhp3jkAgECwFax26MAOFidR24auyjti0CS9eIDpa0+TzsWUL\n6tc3vmsVJ3gs2683K+OeXCmDSzOGrU/EkB+fHTp0KDk5uX79+o8ePVq9enX5Z9i3b9/mzZvL\n2uvRjjnovCD9jqIoU+nYkOHc2OS5hZk8Wugk6vws0jxV4r+GsQXibFXSKVmDUZXIPaOSIz9J\nKROqHALopROpPNsnvbdCE5wr8KK3W8rz7Gyqn5VLUwZLQJMJ9YQpk0dza2mqK765Kn+4Tk/H\npd2SP1gtbjnfhHq9cixdiiNHtE2JBHPmoHVrdOliPp8IBALBbBBhV2F4ntR2vldZR7i64t49\nHD2Khw/h7o6+feHjYyrvKg7PjebbW7sKzcnJacKECeptqVSakJBwpPgxyWQy5aVS/AuFQrlc\nzmSW+c1h8ml1u1jE90qcrVIpKexFmZUYsUu/I7/xTVH+SyUAJp/WdAYndKJWRyafl92cXwRA\nvc5PmKK8OEX04VGBfYBJxtBYAlrbJbyrM/XqwrX+nss1WTld3bl7XaMFCbvdu6mNRNgRCIT3\nEot4AFsHgnrw7Is3J/WMtg3gEVHOQQwGBg/G4MGmdc1YsNnsw4cP3759+969e/b29rGxsUuW\nLDHoExQUVI6qsyj47jQGGwqpod3Wt6Kqq/CN8sIEUUmqPLlIdW+5mOtECxiqGfB7tKF4NKtY\nWclFqifbJe2W8arletn4D2DZ1RPE7pIWJCkFXrSGozluLUw4LCoroBDB0nxThTlXBcqcduok\nQwQCgfD+YR1PaEuh7XZcH4H0i5qmfSN0+AtMvll9Mj5t2rRp06YNgPz8/H379r148UJ374oV\nKx4/fvzixQsvL69mzZqVEyRrdph8WqNPOY826s0kOgTSfXqV97XPf6l8uFb89rGSbUejs2GQ\nABnAo/WSEmEnTKIYEiygMhoRlyaMjqtNJRwNcAikJ54qZWxgSX/0Bg1w966hkTL7XTkUFeHq\nVaSmIigIbdoYyzUCgUCoeYiwqwxcN4RfQPZ95MfCxgcubakTqdUW7OzsTp8+PXPmzNOnT8tk\nsvr168+dO3fdunVnzpxRd2jVqtXevXsDAgLM62c5NPuKq5AidpdEKQcA99bM9iu04SOlyYlT\n/DuoUF5U3ohUQbKyJMEKz5VelGUY+WyQVsaqCR7Pef63TJSmJ1VbzrWYeVgAixahTx89i4sL\nZsyoxBlu3cLIkXj1StPs1g0HD5ozfJ1AIBCqgSW9eVsLTs3hNwquHWu3qlNTv37948ePC4XC\n7Ozs+Pj4f/75p0TVAbhz587QoUOl0lKTnRYDnYlWHYKKPAAAIABJREFUC7gjHth9eEww7Kbt\nB/tt7PzK+87fWlBUvqqDOl1fsXKjDMKoVGSGhcNxpPX8w8azM1Nd8NehASN8m417G0v65vfu\njT//hGfxEtjWrXHqlLap5uhRdOwINzeEhdF+/RUynYWDubkYNkyr6gBcvIjiVacEAoFgdVjS\nDdp6USlNm3DC3LDZbDabHR8ff/LkSYNd0dHRFy9e7NWrl1kcqyAsAa0i8bkqOTIrUI6s4f+x\ndbfz4hVPd2mkLZNHazGX696qVv2s7OvTI3bZ5GTlSQpl7j52NJrljUeOGoVRo5CYCIEAOul7\nNOzYgU8+0WxnZtKjonjR0dqQixMnKEo4HzmCtDR4eJjSaQKBQDAJteoJZAZyovDga2TdAI0B\nt64IWwW7hpU6wc2b2LoViYkICMC0aWjSxESOGoHk5ORK2a0PmmE9NDUMFhTFQzwBw9iNp3B0\nD2m9kBc0lpMVraCz4d6SyXOzPN1jDOgsMG3M7UT5+PpSGMVizJxpYGPv2YNp0zRr6dKoEnSr\nVETYEQgEK4UIu2pQEI9znSHTVFbF6+PIuoU+0eDVKf+4oiJIpbC3x9atmDhRY7xwAbt2Yd8+\nDBpkSp+rgbe3N6XdxxKSuBgDGgMebZmp1w0zvLT7kceyoclEcGnMoMxjYlePblfPaoZsxW9V\nUb+J028rVEqVe2tmsxnc2ipGASA2Fvn5FPbISI2wq1ePYi+DgWnT8PQpnJ0xdCi+/RZlVFsh\nEAgES8NqnkaWyMMFWlWnRpKJmEXlHBEVhU6dIBDAwQFBQfj8c/2jJfjsMxQWmsBVYxAQENCv\nXz8DY1hYWLdu3czijylot5THttNTOX59WfUHs316seoPYpkoO11NIs1XnRwgjNsjzX2myItX\nPtsrPdFfaPRSHBYEhzp5tdbety8aNzbcq1Dgxg3k5CA+Hj/+iAEDoDRtpDOBQCAYC6t/UJmT\nnKiKGgEAr18jIgLXrmmeEXFxKB11kJ1NkbrBcti+fXsfnQjEtm3b/v333ywWq5xDrAtbX/rA\ns7aNPuW4t2Z6R7Dar+B1XlOr0tlEr5EIX+tpFFG68sFqsbn8MTkNG5Yu9qLichFRnH6Sy8Xh\nw+jUSdOk02FnZ3iSCxfw998mdZNAIBCMBZmKrQaUa46YZU7ZrFpVobSppWo9WBAuLi4nT56M\ni4t79uyZj49PkyZNlErlzp07b9y4wWKxevToMchiJ5IrDM+N1mqBJaXzMCoZ9yi+Xhl33x0y\nYq3Q6dizBxERuiPh4sWLebozsAEBuHwZr17h9Wu4u6NBA4rzREbio49M7y6BQCBUFyLsqoH3\nYGTfpzCWwZMn7z4lj4cWLarnlelp2LBhw4YNAYjF4m7dut26dUtt37Bhw+DBgw8ePGiJgZME\nAACd6hdPrz1DrlS0a4fYWGzYgKdPUbeu8uOPpUFBhvmdaTTUq4d69VBYCBoNqlJz07wayghN\nIBAI1YQIu2oQPAfpF5F2XmvxHoLAyWV1d3B49ylXr65QNwth0aJFJapOzeHDhxctWkSn0zMy\nMkJCQsaMGcPn16qpTGvHszOr9Phc3c61/T7g5YVly9SbKoUCQmGZPW1s0L07zp83tH/4ocmc\nIxAIBGNS22/oJoXOQvezSDqIjKugM+DeHXUNYwt0GTWKYqHO8OHIzMTLlwgMxMyZhin0LZyj\nR4+WNi5atEhZvNJ8+fLlly9f9vPzq1G3CGUTOomTck6W9VCr7RyDGE2+KCPCwGL55x9s2IDE\nRPj5Ydo09O9vzJNv3Yp27ZCerrUsWIC2bY15CQKBQDAZRNhVExp8hsFnWEW6DhyIWbOwerXW\n0q8f/vwTTKv9I4hEotJGpU78YFJS0vjx4y9evFi6G8EsMNjofVAQ94ck7ZZCpYR7a0bQGA7D\nunTd6tWYPVuz/ewZzpzBL7+UTlZXderVQ2wsNm1CdLQm3UnXrkY7OYFAIJgYq9UUFkveYyTu\nhzgddsGo/wlYehF2P/2EESNw/jwkErRrp43Ms1JatGjxSrcWExWXLl3KzMx0dXWtEY8I74bO\nQvB4TvB4c/tRNdLSMH++oXHuXIwcCXd3o13FwQFz5xrtbAQCgVCDEGFnVOK34O4XUBZnMXmy\nAj0uGdSiaNkSLVuawTVTsHz58tOnTwvLWbEEABAKhUTYEYxDZCRFliCJBJGRKJVkkUAgEN5D\nSB474yF8gXsztaoOgDgNN8cYdpMVIPMa0s5D8rYmvTMFgYGB169f79Onj729vbOzc8eOHUv3\ncXJyUigU//333/379+WWnMqFYBUwyqj5a+ELGjIz8eOPGD8eCxYgNtbc3hAIhNqMZd8NrYs3\n/0JRZGh8GwlRCvhemmbiftz9HJIsAGDw0Ph7NPpGt3tBAdauxb17sLNDnz4YVqHFe+akSZMm\nJ0+eVG8rlcrw8PBLly7pdggKCgoMDFRvh4SE7N69297e/vLly3K5vH379qGhoTXsMMG6adcO\nAoFhWKutbaWDG54+xfXrANCpExpWrr5zpbl3DxERyMnRNH/6Cb//jtGjTXtRAoHwvkKEnfGQ\nl1ELTF78EMq+j1vjoCjO8q8oQtRc2PjCd4TakJ6OVq2QnKzZv3MnRo/Gnj1QKiGVgmvxSXPp\ndPrhw4cXLFjw119/5ebmBgYG+vj4nD17tqTD48ePu3fvLhaLJRKJ2jJ16tR169aRvHeEiuLk\nhPXrMXasnnHDBjg6Vvwc3O++w9q1mgaHg6++KkmGYnyUSowerVV1ACQSTJmCbt1Qt66pLkog\nEN5jyFSs8XBsRmFkO0Dgr9l+tk6r6kqI/blkc/p0rapT88cf6NABtrawsUFoKI4exZs3WLgQ\no0dj7lw8fWpM942Co6Pj+vXr3759KxKJ7t27d/nyZYMOeXl5JaoOwIYNGzZv3lyzPhKsnDFj\ncPs2xo1D584YPx537lRq9Iu2dy+nRNUBkEiwfDn27ze+n2piYynmXoVCnDljqisSCIT3GzJi\nZzzq9IJnH7z5V88Ytgp0tmZblFz6IBQmlmz+9x/F/hs3NBuPH2PgQPB4KCqe7/31V2zbhv/7\nv2r6bRI4HE5KSoq09Dr3Umzbtm3y5DKzOhMIFLRujdatq3YobccOCuu2baaqGEaVEqg8O4FA\nIFQPMmJnRGjo8BeCZ4NXBzQG7EPQ/g/U/0y7v2SlnS58n5LNCqggraoDIJFg8mSkpVXdY5Pi\n7u7OYr27WFVGRkYNOFNzqPDisPT8p4X/DhHenFckTCpVnIpgXii/b1X7EpauPFaaoCDqcmTN\nm1fligQCgfAuzDNil52dvX379ujoaKlU6u/vP378+AalCm9Pnz5dN0cal8s9cOBAjXpZBVi2\nCFuFsFVQKUArFb4XOBWJfxnOxgbNKNls0wZXrlTugkIhzp+30EE7gUDw6aefbtq0qfxupf/0\nVs2NeUXP92sUeuZ9xYt/aN33sDxrS4Kb2kBAAB4/NjRW6ksok+GXX7BxI5KSUK8ePv8cn39e\nZliuQIDlyw3zJ48ahXbtKuM0gUAgVBTzjNgtWbIkKyvrhx9++PXXX11cXBYtWiQWGy4+EwqF\nEydO3F7MO/WBZWGg6qTZUMnh3ApttoJdvMqbzkGTRfDTLg9as6YqpcaLSkXiWg6rV6/+SGeG\ny8/Pj1fqEwYFBTVp0sTR0bF169b79u1TVWQUxFJJuyUvUXVqFGLVnW/fiyQvKiv5lKp58wwD\nkXi8yqUjnj0b33yDV6+gVOLFC3z5JRYsKK//9OnYsQMhIWAy4eeHhQuxbVtVXCcQCIQKYAZh\nV1BQ4OrqOm3aNH9//zp16owZMyY/Pz852XD9WUFBgYeHh0sxTk5ONe+qEXi+CUc8cdAZ+21w\nfRTcwzHgJbqfQ9d/MTARod/p9m3aFLduYeBAeHkhKAijRlXoCpac7pjP5//111/Pnz8/cuTI\nzZs34+Lijh07FhAQoN5bp06dnj17rlu37tGjR7m5uXfu3Bk1atRvv/1mXp+rQ9oNCnWT+0wp\nzrZitfpO0u/I/x0i/KNR3t7Q/EtTRcJk5buPMR+qli1F27fD21vT9vXFgQOVmBiNj8eaNYbG\nVauQlFTmITQaxo1DTAxkMrx8ie+/t4IQdwKBYLWYYSrW1tZ23rx5Jc23b9/S6XQXFxfdPjKZ\nTCKR3Lx5848//igoKAgICBgzZkxdq8sOEL8Fd6ZotpVSJO5DwXP0vA6P8LKOaNIER45om40a\n6Y0F1KmD1FS9/hMnohlVMK5FERAQUCLmevTo8ezZs8TERJlMVlRU1LRpU4POc+fO/fjjj2vc\nR+NQ5mhj7dV1bx8pzn5cqJAAgFKmSvxP9vahot9JAdveclPYyPr0wUcf4eVL0GioVw+VyrYT\nHU1hVCoRHQ0fH4pdBAKBULOYOSq2oKBg7dq1AwcOdNRPQyUSiRwcHORy+dSpUwHs27dv3rx5\nGzdutLGxUXe4e/eu7tCOQqHIz8/Pzc2tgg/quT+RSFRk3ElNlcI+ap7hEyP7rujpDmndisbf\nTZuGjh0ZZ86wcnNpzZopBg6UHjrEXr+eEx9P9/JSffyxZPJkyc2bjMhIBoOB9u3lvr6K/Px8\nY34K0+Dg4ABg7969pXepBX3btm1lMlnV/qBmRBAKwPBvbuuvEjPyxFb2UQxRKBQAcnNzDZIO\n3lpMU0j0egpfK++tywueVpPeVQKVSqVUKnPz8+HsDAB5eZU6nAXYUNmFgLxmv66munGZA/UN\n3NxeVBf1X8SINy6xWEyq9RCqgDmFXUpKyuLFi5s1azbWIN0oYG9vv3v37pLmnDlzxo4de+PG\njYiICLVFLBa/fv26pIObm5tSqVQ/e6qGUmnk+SO6OJUmzS5tp+U/UXhUws/QUEVoqHbZ1rBh\nRcOGae/jc+fa/P67ZlqHzVZ9+WXR119bzV2+rJhZDocDQKVSVecPahacWsKrLyPlpFb60Fmq\nxgus7nNQoH5olf6Z5D+juIfkxqoUCsudkK3sV4uWk8NftYp14QJNIpE3bapydKTpJhwGlB4e\n0ubNVeb4Mxv9xmUWrPHHXhZG/CxKpdKq1xwTzIXZhF10dPTKlStHjhz54YcfvrMzj8dzdXXN\nysoqsXTs2PHChQslzUmTJjk4ODirX8EriVgsFgqFAoFArSeMhowNGh0qw9suz96TVyU/S7N1\nK37/XduUSmkrVvDbt+f172+5s2C69OvXTyAQCPXLQ3l5eXXu3LmgoIDNZtvZ2ZnLtyrTfQ3i\nO0lfnZCJs1WOQYzA8Sr7ADrX+tdU5eXlyWQyJycngxE7lk2BNM/wS27jxHF25tegd5VAoVAI\nhUJ7e/uKHiASoXNnPHmibrGTk8Hj6eWTtLWl793rVOMLRUx14zIHubm5dnZ2dLp1p99SKpXZ\n2dlGvHHx+fyKZIwiEAwwj7B78uTJihUrZs2a1aJFC8oOiYmJx48fnzx5MpPJBCAWizMzMz08\nPGrWzerBskXdD5FyTM/I4MF7sLGusH07hXHbNvTvb6wrmBYPD4/169dPmDChJI8xn8/fs2dP\nde5lKjni9qp1ldKhAaPxVI5zaBll400DjY7Aj9iBH2myUlNOk8mLVLnPlVDCoQGdybcOFV4W\nvr1ZT7ZJShvN4oxJ+PXXElWnoagIPXqga1e8eIHAQIwdC09PMzlHIBAIhphB2Eml0l9//bV/\n//6+vr4lg3ACgYDL5Z49e1YsFvfr18/JyenmzZtyuXzEiBEKhWL37t0CgaB9+/Y17221aL0F\nBfHIK34qMLhotQG2gcY6PWVS1cxMaxIKY8aMCQsL27lzZ1JSUoMGDSZNmuTj41N6dikvL6+g\noMDLS5vhWaVSUVaYvTZblHBUpjnqhTLxP1mvfTYebS2owsrLY7LIH4rUcbJsO1rL+dwSFWiN\nhM3iZNyTZ0Vp554ajmb7flCLhN3t2xTG6GjoFEFGWhp+/BF374LPR58+mDoV7Ar8TVWqysVt\nEAgEQgUwwwPv6dOnaWlpe/fu1V07P2nSpL59+0ZFReXn5/fr18/W1nbx4sU7duyYOXMmi8Vq\n2LDh8uXLrW/GgeuO3lFIPoTcR+C4wmsABPWMePrAQCQklDaqSq/ft2QaN268evVqA2NBQYF6\nOiMmJmbq1KlXr14F4O7uvmzZMpFI9NtvvyUkJHh7e0+cOHH27Nns4ofom2vyElVXwo25RYMv\n2lrIf0nmA8X1OaKSaANpvurG3CKbunTPjhYkPSsFk0frc1Dw8oQsK0rO4NLqdmFalIw2ApTj\nx7q6LSkJzZvj7VtN8+xZHDuGs2fBKHuo+OFDzJmD69dBo6FLF6xahaAgozpNIBDeX8xwC27a\ntOmxY8cod3399dcl2/7+/osXL64pp0wGnQXfEfAdYYpzf/stTp/Ws/B4Kk9PtGuHjAw0aoT5\n860vv/2BAwfmz5//4sULFosVHh4eFRWVVlw0LT09/dNPPy3pmZiY+O233yYmJm7evFltybhD\nEUFWkKgUZSj57haxfOfJ7xKF4bwlHm+WWK+wA0BjwH8Ay39ALRql06V3bxw6ZGjs00e7PWOG\nVtWpuXgR27Zh4kTqEyYkoHNnbTTuiRO4dQtRUbC6dE4EAsEisYinHaFqdOqEAwe0y3vq10fr\n1ooff6TduoWEBJw4gfbt8d9/ZnWxkhw/fvyjjz568eIFAJlMdurUqbR3lcLdsmXLo0eP1Ns0\nBvW4XFn2mkf4miKGscCyM/q+73zyCQwCvAICsGKFtnnpEsVROqFdhnz3nWGOlawsLFpUDRcJ\nBAJBixWPE9QSMq4ifgtESbANQIPP4RhWqaOHDcOQIUhIAIOBV6/QvbvhH3TiRCQmwlqizebM\nmVOFox48eNC4cWMAdTowo34x3OsUzOC5WIqw47vTAcNUCDZ1rOTP835Co+HoUfzxB06fhliM\ntm0xbRr4OjG/lAkpZDKcPo23b9GsGRo10tsVFUXR/8EDozpNIBDeX4iwMyvPN2lLU2RcwYvt\n6Pg3fIZW6hx0OtRlHfbto9ibkoLERNQz5tI+UyGXy+Pi4qpwoEAgUG+4tWAEj+c83aGd7GTy\naO1XVr7+rslo+DE76YzhKsCgMVYcPPFeQKdjzBiMGUO9t2tXHD1qaDx7FocPa7ZHjcKOHdpl\neTZUGY6Lv8MEAoFQTchQgfkoSsX9rwyNkRMhL6za+ZhlqPSy7JYGk8kUVP7x5uTk1K1bt5Jm\n6/9xu27g+/VlubdhBo9lDzgrqOF0J+Xj2ZHZ+n9cJk8zgsjgIGwWtwaSgyjEqpw4hSSHJDs1\nAb/+Cv3COWAwUFCgbe7di//9T9scTJXwiNJIIBAIlcdKnvm1ksxrUJRKcibNwds7cO9ahfP1\n6EFhbNRIW+7c8hkxYsTWrVsNjGw2uyTRXevWrePi4vKKlyjxeLwdO3YY1KPz7c2y5DxqweM5\nfv3YWVFypRyuYQxTR3Uo5bi/Uvx0h0QpB4C6XZntlvJsPMkbnfHw88OjR1i+HLdvw9YWLBbO\nnDHss3Ejli3TLImYPRsXLuhlSxkwAFOn1pzDBAKhVkOEnflQlVF2piz7u2jeHF99Jf75Z22R\nAz4fu3ZV7WTmYfXq1dHR0ZGRkeomm81evHjx0KFDz549m5eX16pVq27duqWnp+/cufPZs2d+\nfn4ff/yxn5+fWV2uCjwXmnePGpKeD34SP94qAQAVQMPrS/KLk0V9Dgnolit9rZC6dbFunWab\nUqLl50MohLogAZOJ06dx6BCuXAGdjm7dMGBAzblKIBBqO0TYmQ8XqkwkTD6cW+pZJFnIuAJZ\nPhzD4Ni0/FN+9504PJyzbx8tPR0hIfjyS/j4GM9h02Nra3vz5s0jR45cu3bN0dFxyJAhISEh\nACZNmlTSx93d/ZtvvjGfj9aETKh6sr14xWFxAMnbR4rk87JalUPYoqB803Bxga2ttkmjYehQ\nDC17NW1ODjZuxOPHcHbGsGHo1MnobhIIhNoKEXbmw8YXTRbj4Xd6xua/gKVTxTJxP+5MhjRX\n0/QZjvZ7QC9vrf0HH6j69LGUINAqQKfTBw0a1KVLlwqWXIyNjZ0/f/7Nmzc5HE54ePiSJUvq\n1KlTA35aBYVvlErDUA0AyH9JEqyYjHHj8PPPSE/XM86Z844iE0IhLlxAejqCglCnDjp00BaW\nWbsWCxfi++9N5TCBQKhdEGFnVkIXwC4I8VtQmAjb+mg4E04tED0f2ffAsoNjGB4vhVyk7Z90\nAIJ6aPaj4XlEyaCzwLWqWrrGICEhoU2bNvn5+erm9u3bL168+ODBg0qUeK/VcByp19JZTv6X\niqCQ4Ml2yZurcrlI5RrGaDyVy3O1YP/d3HD0KMaPx9OnAMBm46uvMGtWeYdcuYKRI/HmjaZp\nb2+Y6G7hQjRvjoICFBWhbVuEhJjGdQKBUBsgws7c+AzV5jcRpeBkCMTF7/pJByn6x2/WE3Yp\nR3FvOgqTAMAumBm8EnZ9KI6qpcyZM6dE1al5+fLlihUrli1bZsKrqpAZpShIVAq8aK5hTJoF\nBd0awnOleXVnplzQK8jBda65FX7VRyXHmdHCjLuahadZ0YqEo7L+/wr4HhYc/9GmDR49Qlwc\nsrMREmIYM2vA27f46CPoJuI2UHVqBg+GvPjvOGkSNm40nrsEAqFWQYSdJXFvulbVlYU0Fwox\nGFwAyLqJ6yOgEGt25T+1uTtC5XwHDsEl3RUKHDuGmBi4u6NvX9Sti8uXcf48ZDK0b48PP7Tu\nKuR37twpbbx169bdu3czMjJCQkJ8fX2Ne0VRmvLSVFHmA43OcApmdFnPt6tnZpGR/USRFaVg\ncOHehimoq+dMh5X8858UZj3UOMxzoXX6jc9xtJq/etxeaYmqUyPJUUUuEnfdwC/rEIuAwTDM\nS1wWx4/jXeVVAGhVHYDNm9GoUZklywgEwvsNEXaWRGqpLAml4dfVqDoAjxZpVR0AgKYoxNMV\naLdT3czMREQEoqM1ewUCtG2Lc+e0/Xv1wvHj1FXOrQIul1vaGBkZ2apVK/X2uHHjNm3axOFw\njHM9Fa7MKCpRdQCynyouTxP1PSagm+mXpFLixtyi+L816WAYHDT/mtvoU+3n5TrT+hwRpN2U\n5z5X8t1pnp2YLEF1VZ04W5Xwj1SYrBR40f0HsrnOJpSJabco6v9SGq2V9He9y1GyZYsxhZ1M\nhjVrsHcv0tIQEoJ586CTG5JAIFgXRNhZEhVJdBLyrXa74Fnp/TQd48SJWlUHQCjUU3UATp/G\n8uV6yVOti759+z57ZvifUFiozfC8c+dOR0fHn3/+2SiXy4lTpEcaSorsp4r0SHmd9ub5KT3d\nLilRdQAUEtxZInYKYXi01fpDo6NOB2adDsa5YsZd+fnPRNI8Ta7j6DWSbpv5upcjVA5//6oc\nVTU5WBbjx+PPPzXbb95oymYMGmTMSxAIhJrCgtepvIe4Uj17+XU1G0w+mi5F4BTtLo5L6e6q\nYmN+Po4de/c1DxygMKam6mXOt1gWL17ctOk7UsBs2LBh4cKFo0ePnj17NuXUbcURpVNXbijL\nXgM8PyAtbYynMhoFhQRXpheVqDoA0nzV1ZlFcpGp/gfqtKOQjOaS0Sahf380aWJoHDoUnTrB\n3h4BAWjRguIodRlBo3DpklbVlTBlChRVTKhJIBDMSy26P9YCWq7FqVZ6JcVcOyD8AkQpkObA\nLhhMPuSFSDqAgnjwveE9BG8jDU9Sb5z639xcKCuQ1EK9UDs/X5M8ddcuzJuH1FTQaOjaFevW\nVXSlkFmwsbGJjIzctm3btWvXOBxOdnb20VJVOyUSyQ8//KDeXr169S+//DJz5syqXU7gRVen\n+TXA1ttsS9aKsigUVdFbU8mszAfywlTDb5UoXZlxT+HZySQ3kwYj2S+Py9LvaAdKuU60Vgso\npuCtFQ4HR45gwgRcuAAATCamTcPKldrass+fo3lzCIV6Ry1YULmrZGdj1y7Ex6NuXYwcqVc9\n+tYtiv7p6UhIQGBg5a5CIBAsACLsLAm7YPR+gEeLkH0HTFt49UPQbNDZEBRP1uQ9wcVeEKVo\nmmwHePbGm/9KTiCu/xXba6BaZdSpQ5E2oTRsNhwckJcHV1dERGDvXo1dpcLFi/jgA0RFwcnJ\nmJ/SuLDZ7ClTpkyZMgXAxo0bSws7A+bNm9erV6/g4ODyu1FiX5/uHcFKPqeXGs69FdM1rLzf\n0ZvLyrjfC/MTFFwXuv9AVqNPOYzyEhFWDjs/emaO4ciKnZ+pRuJlhdSSUSY0lZSkMRHxh03s\nLsnry3J5kco1jNl4Csekq/rMgL8/zp/HmzdITUVgIAzSNwYG4uhRTJqE+HgAcHbGypXo2xdi\nMeXJKHjwAD17IitL01yyBHv2YMgQTZNdxtexLDuBQLBsiLCzMGwD0X5PGftUuD5Sq+oASHOR\nfQ/hF5H3CDQm3LqIVZ4lN2MWCz/8AIPBKSZTL7qOwUBCgmY7M1Or6kpITsbGjfj2W0O7ZTJ8\n+PDFixenpqaW00csFv/7779VE3YAOqzk3ZiHpNMabefZkdlhFa+cjCdJ/ypvzdb8j4uzFfdX\nKnKeKjqvMVpEZ9Pp3HPjC3UtLAFNN3jCuDg2oP6ojkEmTPrCYCNkAidkgqk+lKXg6QlPT+pd\n3bsjLg4vX0IsRoMGlQt3UioxapRW1QEoKsKnn6JTJ7i5AUBEBMVRjRrB2BHlBAKhZiBr7KyH\n3BjkPjQ0ijMgyUSDLxA4BfaGk6bTp2P1as14G4OBwYNx6hR69gSbDQYDISEVWkWjTrNqFTg7\nOx86dCjgXcuPioqKqnwJjiOt2yb+0Ou2vfbZDL5sG7HHppyEako57i8xDLZ4eVyWdtNoQZ11\nuzI7/sTjOmlGsOzr08O38W19TPW7FnjTg8cZDuQ0/D+22RO+1H7odNSvj5CQSgexP36M2FhD\nY14ezp7VbDdujMWL9fba2GD37qo6SiAQzAwZsbMeSgqLGdpzyjqCRsNXX+HLL/H6NVxcoM4N\nEh4OmQxKJfbvx9ix776ss3PV3DUP7dq1e/zYsTKkAAAgAElEQVT48f3799PT0xs1atS+ffss\n3bEKAEBJMpQqY+NJt/F8t5QRJisp/2hZ0QoPqpiAqlF/CNt/ADs/SclgQ+BlcoHVcj6P60yP\n3SUpylJxnWlBH3NCp9T2sTSrxmBxXgm64VELFqB9e+zdi9RUhIRg+nR4edWMdwQCwegQYWc9\n2AeBxqBIieIQWv5xNJrhXVr9zl+BQqwA8H//V1EHLQQ2m922bVv19po1a0aNGqW7t2/fvleu\nXFm4cKFCoejYseP8+fNdXCiCi41CWUV9GcYWQjQm7P1raMyMzkKTzzlNPufIi1RMXu1a62ZV\n0FJSWM+e0UJCqOdMo6Lw77/IzkbDhmCzIS0VKF2nDg4dAoOBtm3h4YHu3dG9ew24TSAQTA0R\ndtYDxxXBs/FkhZ7RayBc2pe0aAoR7eEKJO1HURocQhEyH14DIXyJvMfgusOxqa7W6NYN7u6G\n+bD4fIiKi9NyOFi5Eq1bm+wTmZ6RI0fy+fzly5fHxMR4eHgMHz788OHDJ0+eVO+9c+fO33//\nHRUV5WyaYUlBXbpdAC0/Xi+wgMGBZ2erTQmtA1F1ZiMtDZ99xjl5UvOCMGwYNm3SC3FauRLf\nfKNtengYFrdo3BgffQSJBAB4PCxbZrgal0AgWC1kZYxV0WQxmiwC2xEAmHw0+BztdunsVvEf\nfEJ78iOEL6Eowts7uDIIZzvhmD8u98Pp1vi3iW56FHt77NkDe3vt8e7uuHYNp09j6VKsX4+Y\nGEyfXlMfzWQMGDDg1q1bQqEwPj6eyWTGxcXp7k1JSfnWlLEhbVcYVnoIm8W1r09+d4Sqog6G\nKH45AYC//8Ynn2ibkZF6qg5AWhpat4a/P2g0eHhg0CA8eqRRdQCKivDllzhTgbI3BALBGiAj\ndpSkAXygYlOVNQmdhdDvEPodxBnguICmrw/enGJlnDY8JPOadjs/DlcHo89DsDUv9xERiIvD\n/v1ITESDBhg5UjM/27On9qAzZ3DsGAoK0Lw5JkwA37JLdJbP5cuXK2g0Fg7BtD7/sV/uR168\nkudG8x/Adm1uwgBSQu3n9m1cvGhoPHoUT55ock4ePEhxVHQ0CguhUIDNRpcuFB02btT72RMI\nBKuFCDsD/gS+AV4DADoD64F3rGAzD1w3CmP2vXcfKHqNxAMInFxicHcvb1hu+nSsXavZ3r0b\na9bg5k1wOHj5Et7eVhZXAYBOpxgqo9EophRTUlLs7OzsKrgOsVy4LgibVYmEuuJs1ZPtkpyn\nCrYtzacXy7d3bZi3JRiNly+p7QkJGmGXn0+xVyKBRKJ5LaPMB/T6tbEcJBAI5oVMCelyAhhd\nrOoAXAF6AZnm9KhSMCs2mCZKquD5Tp/Wqjo1CQlo1w5OTggLg4sLBg82cslKU9Odanl4eHi4\nSqXKydEEF2/dutXNzc3b29ve3j48PDy2dKoIU1KQpPynR8Gj9ZKUC/KEo7JLU0U35lY9OQuh\nFlKnDrXd01NTaqZxY4q9AQHawXY/P4oOVStZSyAQLA8i7HQpvdbqDbDODI5UDc/eKnoF4i35\nPnpNcQaercODOYjfApneuz5lqdmEBG2lsiNHMGJEhQqXWQhff/11s2bNdC1+fn4ymczOzs7J\nycnV1XXEiBETJ07MzNSo+QsXLvTu3Ts3t4xEM8ZDXqQqSFQq5bj1bZEkRy/Y4vl+6etLRst7\nR7B6OnakkG4hIfj8c/D5cHLCtWto0MCww+rV2u2vvzbcy+Xiq6+M7SiBQDAPRNjpEkdltJ78\nvHbB4obf61kYPMM+/LrwHa5tpp3DiYa4+wWerkLkJBxviJyokp0VyeN76RKuXKm6yzUMl8u9\ncePGsmXLevTo0a1bt++++65x48abN28WCoUAsrKy9u/fb3DIq1evtm7dajqXxNmqKzNEe0Pz\nD3ct2BuS9+YGhYZ7fcW0wk4pQ/pt+ctjsrcxpO67xcNi4cABhIRoLQ0bIj4eN29CIkFODv76\nC3I5hgwBnw8aDcHBOHgQ/ftr+0dE4Pff4eioabq7Y9cu645+JxAIOhBhpwtlSVRrWkcmqTdF\n2fM2gr+G3/+h2Y/onwC/0drddg3R6XBJ5ARk+bgxWi/vsTgN10eWpMpr2bJCF1VXsLQWeDze\nvHnzzp49e+HChQ8++OD48ePvPMR0s7EqJa58IXp5TKZSAoBCClANfyrlpqrECiD7ieLYBwWn\nRhRemSE60U94ZnShwZAhweIICkJUlPTUKeHatbLz5+HoqA1xVZOQgJYtUVAAoRBPnmjLwpbw\n6adISUFkJO7exatXGD7csAOBQLBaSPCELh8DK0sZR1N0tGScWsJF5+W7/R40XYych+B5wLGZ\nXs7c9IsQl1oilx+LnAdwagng00+xbRvu33/HBT08jON4zfP48eOKdDNdBuO0m/JUqiE6A9xa\nmOp3KhepLk0VFSRq5WTqdfmNuUXdNltz8PP7AJOp7NJF3KIFy9YWUVEUHaKiQKeXF8TO56M6\nJViio/H770hKQv36mDIFgYFVPxWBQDAqRNjpsgiIBkoyhnCApUAH/T5y4AzwDPACPgAENe1j\nFbDxg40fhV2WR92/eAyPw8GZM/jf/3DiBHJz0aIFsrLw6JFe30YNxT19NuLaDdBY8OgB/7HJ\nKYwTJ5CejsaNMWAAmBb8FbPXTeJXBlwud+TIkSZyIP/lu9cn1unArNfPVIGxry/LCxKVUAE6\nkcFJZ2SFqUqbOu/RcL5KjuynClG60j6AYednkg9elKnKf6Xgu9ONX8nXxgZisaFRYMpb0x9/\n4NNPtdUsNm7E4cPo3duEVyQQCBXGgp+6ZoADnALOA5GAHRABGKxBTgT6ASXSpi5wAGhveBpr\nwT6Ewkij69qdnbF+Pdav1zRfvcLAgYiO1jRDGgrvLG2XfL7oTkIrJkPWPvC7q+lvPv15QWGh\npkNoKM6etdwhvR49eri4uBgUk7WxsSks/gBcLvfXX381iLcwIhxH6uINnp2Y+S+VHAead09W\n6AQ2zWQSS5SuAvRUnZqidJVNGcGXtY+cWMXVmUU5cZoVCL4fsDr8xGPZGK2uhlykuvWd+MVh\njQxyb8PsuIon8DbeH3XwYJReBjp4sNHOb0BmJqZM0atRJhZj3Di8egVeqUW9BAKhxiHCrjTh\nQHgZuz7WUXUAXgMfAY8tMZVxRXBqAd8RSPxLzxj0FXilHumyAsgLwPP088O9e7hwAc+ewdcX\nH7j9b/7iMb+dmiGVswFwWWKViibRmVqMicGECajAMjbz4OTktHv37hEjRuQXp/6qW7fuqVOn\nUlNT79275+jo2KtXLz/K3BBGwrMzk+dGK8rQW9Pm1oIRsdvGdBfVReBFJV9osKn7vgzXyUWq\ni5P1JqMTT8mYfFrH1UbTKLcXalUdgPTb8ktTRX0OC+jGGof96Sfcvo2HD7WWmTPRp4+Rzl6K\nK1cgFBoaMzJw9y46dTLVRQkEQoUhwq7iPAeuljKmAKeBYWZwxyi02Qp+XcRvhSwfHGc0nIlG\n+sWI8p/izjSkXwQArgeaLWP4j4+IQEQEAOyYyVt1Qps6QSyjSMN78iSys/XqWFoUvXv3jouL\n+/vvv5OTkxs0aDBixAiBQBAaGhqh/oQAgIyMjKtXrxYWFrZo0SIkhGqYs6qwbWld1vAvTROJ\n32q0nX0AvdOvNbe+zbMzyzGIkROrFwxbrz/rxRFpzlMF247m04tVp31tvkskn6eYjE74R9ry\nWy7XyQiDdkWZqviDUgPj2xjF6ysy73AjKTs7O9y9iz//xO3bsLNDnz7UtSWMhdTw42gwCOAg\nEAhmojbfso1NWZmKM2rUi+ojL0ReDBQSODYFyx5hPyHsJ0iztdGyJUhzcPEDFBYnNBan4dYn\nYArgoxGym/59dzCdSoXc3HKFXeZ1JGxHYTJsA9DwC9gFV+VDVQMPD48vvviirL27d+/+4osv\nSob0xo4du23bttzc3ISEBD8/P1dX12pe3b0Nc9BF25QLclGq0s6f7tWdRa/BHyWDjW6b+Ndm\niTLulUxEMtNvKV4elambsbuloZM5Lb6pROWMipD9VJFxRwHArRXDKdicNdYKU5WA4WS0SglR\nmpLrZATHCl8rQRVkLEw2augxi4Vx4zBunDHPqYtcjq1bcf48JBKKJHkAOByEhZnq6gQCoTIQ\nYVdx6gN0qnQUDc3gS5VJOoC7X0CcAQBMAZouQcMZAChUHYD4zVpVV0L0fAAoiIeNT1p+r3de\n0M4OXl5l736+AXemabbTzuLFdnQ+DI8P3nnamiE6OnrSpElinZXpu3btio6Ojo6OVqlUAAYP\nHrxx40Y3N6oKbxWGbUvzH2C2umG2vvTefwvyXykLU5X2/vSb84tE6Xpf8phNEq9uTK7xvuaR\nPxQ93akd9Qkey2690GxrszQxIvojdjQ6jBU7wnOjHvbjuxttDZ/JUSjQs6degVoHBxhk7V62\nzPoqDBIItRQi7CqOOzAZ2KBv7Ax0M487VSD7Hm6OhaJYpsiFuDcTfB94D6Lun0+Vv60gHtc0\nA3X1nK8npeulAqHTlEqV3hNx0SKw2boGPHyIS5cgk6F725SwlFl6+5QS3BqPfmVUw6xxduzY\nIS4Vbxilk13i8OHD+fn5p0+fpqxCazXQYFePblePrpRRJ0NOPicPNJKwe3FEpqvqADzdJXVu\nzKg/hF3WISbFO5xp60vXXWMHwH8Qu6y4lspi40n36s5MuaD3v2rrQ6/bxbLvvU+fYvlyxMTA\n1RXOznqqDkBuLrp0QWGhJt3JzJlGy4QnlRreLwgEQiWx5qeRGfgJmK6jhocC+wFzTiRVjrg1\nWlVXwtOfyuzPfscr+NwPF+s2aTTVrimfDG97gMWQAXAWvP3l4y+nDzqkd8hcNG2KGTMwezZW\nf3OZwh9xBnIelH/dGiO9AqVwz507d/v27RpwpgZQylQqqtoTConR5g1fHKJYoRV/UGas81cW\nJp/WbTPfMUj7K/btzWrzgzGnnjus5Lu31so4Oz96l/V8Jt+CR+xu3kRYGPbswYMHOHMG+/ZR\n9ElMxJ07SE/HjRvVV3W0vDza9OlwcQGPh4YNsXt3NU9IILzPWPZbo8XBA34DfgQSAC/g3VnQ\nqMgAbgISoBVQz8gOlo+o1LwqgMJXZfb3G4nYn8s53wdNT239bMI3B9dn57IBfBz+3+gOu0Z3\n2CWVs7MKXDwd3wDA3b/gPRA0BoAjR7BihfZwJr2M3LxKuYW8cfhXrDJ6fHx8u3btTO1MDcDk\n0+wD6HnxhusNXJoa7e1Fkk2hEcVUxhrDsSGj3wlB9hOFKEPpEMCw9TXyl4/rTPvgL5ush4q8\nFwq+O929NdNo8bAm4tNP3x0JIXuXFi8qQnQ0cnLQtCk8PcvrqVTajB1Lu3xZ03z2DGPHQirF\nZ59V2GMCgaDFMp6fVgYPCKmqqtsM+AMDgY+AIGCOkV0rHx7V7ZWvvwJOJcerP3H/Kzz6ASoV\nWq4Fo7zRi8+6/Z5ybe+9e3j4ENt/uqs2splSjaoDIE6DKFm9afAefiu+LcUZmTZwNFXeuMoy\nefJkpwoE9HpYbKa+ytPmB8Plbm4tmf79jTY7ZudPcc+xr2/mGxGNAefGDO9wVsVVnUoOUZqS\ncoCT6gJwacqoP5hdp4PFq7qMDDytQIHsjh3L23vuHBo2RLt26NMHvr6YORPKsnNxnzjBLFF1\nJXz99bu1I4FAoIIIu5rkOjAZKM7eCymwCvi95q4fOJXC2FAnIFSWh1OtcGM0Yn/Bo4U43Rri\nTPSNQauNaLoMHfZRpLIFeG6BzZujcWMwWNQS8E6U3c6dOHUKGfoBxHGpDVcc/8awd4tfwbKt\n1McyHd7e3kePHg0KClI3BQKBj4+PQZ/g4ODOnTvXuGumok575gd/2Xi0ZbJtabY+9JAJnPDt\nfJrxRvabfM5hcPW+RQwurckXHKNdwPTIRarIH4r+DM37u13Bn6H5d5eJ5UW1qLourQJzxE5O\nWLWqzL2JiRg6FMma1znI5fjtt/L6l2Q81yU3F4mJ7/aEQCCUgkzF1iSbqYwbgJqacXDtgNZb\n8GAWZAUAQOcgZC78dIrh3p+FHP26kzGL4N4NgZM1zcxreLZer4NnH7gW197w7I0oPaGWX2Q3\nbOOZM/c0g142pdLuztu/nOHUaPag31GYBNsGCPoSnr3Le7mvcTp27BgTE5OQkJCXl9eoUaO0\ntLRBgwY9LE4G26BBg127dv3yyy+3bt3icDgRERHjx49nMKxn2SUV7m2YvfaZ6s7gGMTovoV/\n+/sidTk1u3r0Nj/wzJvxpLLcnF+UUJwORiFWPd4qkear2v9YW4ouuLoiNBQxMYb24cMRGwux\nGB06YOFCeHuXeYYdO5BXqlzhzz/jG52bQ1ER1q/HjRso58diaykveASCdUGEXU2SSmV8Q2U0\nGQET4D0YbyOhlMC5teHkbNLfFIck/Q33rprtsJ/A4OHZOijEoDFRbzSar9YO4zk0RrMfETW3\n5NDP92w9c69NSZNDy6Zx2UKxtoolhynpOKQbuo+p/CdRUQ4fmgIGgxFYXOPc39///v37ly5d\nev78eb169cLCwjp06BAfH6/ee+DAgQMHDvz3338MBkOlUtEqMvhhApLOyBL/k0lyVY4NGY0+\n4ZSVccNceHZiDrpgq06qwne3skmD3GeKElVXwvP90tDJHBMVmTUD27ahSxe9+rMTJmDLlooe\nXjJWp0tGBiQScDgAIBSiTRs8eaLdS6cbvs516gR398q5TSAQABBhV7P4URlrNn4CAMcZnlTl\nulVKyAsp7LJ87TaDi7BVaLoMoiTwvUAvNYPW6Bu4dUbifojT85kt9l7Tq8nx3aDFrfzvfL5z\nXVRiMwAB7vG/fjyzLYsDHDI8T1moFHi+EXG/QZgAvjcCJiJ4Nug1mh+BwWCEh4eHh4cDmDx5\ncomqU3P27NkePXo8ffo0Ozs7JCRk7ty5AwYMqEn3dLPEvb4kf7ZX2vuQwCHQnJojPVIes1mS\n90LJd6PXH8IKGMam0a1P0qnJLRVZoiYvXlF7hF3r1nj4ECtX4tEjuLpi+HCMHv3uo0qgTFzp\n5qZRdQD+9z89VQdAqQSTCXlxNJWXF3buhEKBpCS4uMDWFnI5tmzB+fOQStG+PaZPpxj/JxAI\nAIiwq1lmAH8CRfrGUovMzAWNDvsQ5D40tDs2NbTQWRDUL/M8Lu3g0g5A5nO5QqE3VhTm+6BD\ng+sPloW9FTrL5CwPhzQAyPZTKvH2LSpUxCFmMR79oNkuTET0tyhMRGvKOe6a4PTp06WNly5d\nUm9ERUWNGDHizz//HDVqVM34k35HbpAlTlqguvGNqM9hQVmHmJrE/2SXporU2wWJyvQ78reP\nFW0XWevEJceeBlCMF3McLGtYtLoEBmLr1ioeO348fvvNcDb2yy+121S/GlWLFrS+fZGejpAQ\njB6NdeuwbBmEQtBo6NMHmZmIjNR0PXECO3ciMhL2VYtgIxBqObXlFdM6CAX2A3WLm3bAOmCg\nOT0yoPlqQ4ttA+0Cu0pSxz6Fy9JLUyeSaqqgOgveqlVdfpHdF78vtbWFmxucnLB4cbmRcOIM\nxCw1NMZvQe6jqnlYBiqknsLj5Xi+CcKE8rvKKhC4N2vWLGU1Vg3KClX3V4qP9xUe7lpwZYZI\nvTStLN5QpRfOfKCQFphndb9SjpvfGrzJIG6PNOthBaNJLQ63lkyBN91A1dnVo7s0Iy/Jxfj5\n4cABvXG7L77AHJ0MAFS/GhqHg+++w7p1mDIFmzZh/nwIhQCgUuHkSa2qU/PsGb791iTOEwjW\nDxF21UQJ7AWmAl8AR0BZFVKPfkAC8AC4DbwGpr2rf83i0QNdT8ChCWgMMG3gMxzdz4JZxcEe\nvr1gZu9fdS1H7hiWuBi/ece6E6NEIgDIycH//lfu7TovBiqq1He6CY2VUjxZiVMtcdQXl/oi\n62blnJYX4lw3XOyN6Pm4MwUnQ/B8UzndK5K+Li0tLS0trXJuFKOU48yowkcbJdlPFAWJypfH\nZMc/FOa9KFPbKcvIDEj531YD5CcoJDkUP4qMu2ZyqNowOOiyhs9z1So7vge9y1p+TVb4tQJ6\n9sSzZ7h6FSdOIDkZa9ZAtzQL1a9GVWKUSrF4cekOhlAN+xEIBJCp2OohAyKAkgxM64ABwOF3\nyWU2YCl52ijw7AvPvlCIQWeDVj3dz3FZNO1yocRm47kpcgUTQExKaIHEwZajqTJ5K77t4TuD\nDQ5avRozZ5ZRVYhZxqoaXel5fRSSi1fsFSbhzb/odhp1elbU5wdfI0MnpZZCjPtfwqUNHKkL\nnP/000/nzp3LNaibqQ+NRrOp6nqgZ3sNB7fkIlXkwqKIPdQndGtOEWNo7083VoGsykKjU1+X\nzjTzxGXmA0X6HTmNBvc2TJcmlYvJdWnGGHTBNvGUTJiitPWh+37AsugyEuaCxysz193y5fj3\nX2RllRiU9eph7lzNf2JqKgoK3n1+kuWOQCgDIuyqw486qk7NUWCjxY3DVYFykxJXHFbHLWvE\nXX8Y8v3T18EeDmn1PFJprTeCbY+081DKnqSMLX2IUonYWFqTJlSnc2wOG18U6me3YjvBvbhc\nb+opraorIXISBiRULIRWhVd/GNoUYrzaV5aw8/X1vX///vfff3/jxg0ulxsWFvbHH4Zn6Nat\nm729fWFhYRXkXcY9ipGtjHtlzmN692B5h7OSz+s989otq9EFbQqxKmazNOm0TJytcgqm81zp\nRZmGQ4x12pvvzqPCgx+QeERYYmj4f+y2Syr3X8QS0AKGkpKmVcXTE/fv4/vvcfUqWCyEhxfM\nnGlrZ6fZ6+hIESRbmvIzJBMI7zFE2FWHf6iMR2qDsDMWfG/0feyY+Ff7vBhw3eE9BAJ/APAa\nCMCeKisCAAcHvcm727dx8iQKCtCiBWtkjz8ZV/tCVrwum8FD2x1gO2qamVQTr4WvIHoDfl2K\nXQYoZZoMfwZI35ZzUL169XbrlNQICwubNWtWSdPLy6tr165+fn6JiYn29vajRo1aunSpo6Mj\n1ZkooBzZKm/Wj4YuG/hPt0te/SuTZKscgxlNp3OcG9dgljgVLkwSlSz1U+c0oTP15ojDZnHt\nA8y2COT5AVniET1L3J9Sl6aMgGFEqNUg3t7Yvr2kpdId87azw6BBOKT/hmYg9Vxc9KoTEggE\nHYiwqw5UyUGojUKA/56uaGRw4T+Ock94ONzcDMtRhIaiSROU3OcXLMBSnXiJ1c06XD4dl/vo\ncMKzAm8/fv3OH8LGT7u7rGpNjIo9s+lsCOpB+NLQbhdcocMBAF999VW3bt0OHjyYmZnZuHHj\nwsLCefPmqXfl5eVt3Ljx+fPnp0+fptMr9GXw7MR8cVhqaOxS3s+WwUboZE7oZPPUckg8JSsd\nwGFTh+7ZlZn/Qslzo9UfwvbsaM7bzst/KAZBXxyREWFXLVJTsWIF7t2DQIAPP8SkSWBW46+8\naRMSE3FXU6IQdnZYuxZRUTh/HmIxOnbEwoWoW4FXNQLhvYQIu/LJBL4F/gHygGbAYkB3tVYY\nEFfqkBb6zW3AYiAR4ANDgZWAQdbNZOAPIAnwB8YBFcn5UUtwcMAff2D4cK2Mq1sX+/YhKQnX\nr7McHZkMhp6qAxAVhaZt3F+9mqJuhodj506d8Ls6PfHwO8PLOLUAxxUqpWbJoFKG+E1IvwSV\nAq4d0OBzMHSm4ZouxXX91CQ2fqhfudIgYWFhYWFhAMRisWupJC7nzp1r165dbGysUqns2LHj\nihUrmlBPPAOA/wBW4ilW0mnt1Crfg976f5abKyTzAcU0cUGysvksLtueejZcKcfTHZIXh2Wi\ndKV9fXroJI53DxOWU5XmUQRzSHNrUU2wmufVK7RogexsTfPUKZw8iZMnK1SdjBIXF9y+jVOn\nEBMDNzf06QM3N4ypQhpzAuF9hAi7cpAAHwD3i5uRQC/gDBBRbFkK/Avo5O+FGzATOAakA8FA\nnE65MBGwG4gFrgElz62TwHBAVNxcBpwE2uO9ISICz57h4EEkJSEwEEOH4psvUjbt9gLsAdjb\nCAHDmNxXr7Tb58/jo49w5UpxXSLn1mj0DZ7ozNGwbOEzDCdDkP8MHBf4jkDWTby9rdmbchQJ\nu9Drljb8wnckZEI8XABxBgB4hKPlerAdqvbpXr16JRQKS9sji3M3nDp16saNG5cvX46JiXn9\n+nVgYGC/fv1YLB1ZQ0PXDfyEf6QpF+TyIpVLU2bweDbb1nKX6lOPmdLKHEsFcHNeUfxBzahk\nxl3FhbuiDqt4plvBZl+fnvvMcP2WvVkTOFs9n3+uVXVq/p+98w6oqvz/+OsuLpc9BAEVUNx7\nb7Tco3JkVpojzeY3K1s2LM0007RcLcpKM00tzYz050jNrQm4tyhDZG8u3PX7g7sHGwU9r7/O\n+TzPec5zB+e+ecb78/ffrFlTKSkmFjNsGMOGVbJrAgL3IYKwK4EfzVSdkelw3nDcCA7ATDgA\nYugHo6CPWeow21+zY7ABxgOQCZPNVF1xZBxcgvtoVsjPjxf0A3DMf/fa16sbGYvqe9/IymtV\n8uWHDnFsb3yPpseRyPHtSvsF+Pfl5q8oU/BqjXMAJ2foqyqTuPiF9fVZZzn1oYWBX+NpNJ5G\nfhwyT2Qe1vXLg4dH6ZdnZ2f36NFDaUjf1Lx588jIyIYNTflIRGLCRjuFja4dX4l6D0hPf1lo\nFazbVepo32hqtMao6owcm6Ns+LCTpBKTyZmXtfF7VIWZOp8WktBhMpHZc67tdKe4PWqtWR+l\nLqJ2L1fNbqH7lH/+sRPcvVsYYxMQuCsI/6eWQLS94AXL1BFt4C/Iggz4Bl63TAhrd0O+Mbv2\nPki1Kb0BJ2yC9wvLvrKwkm/ToHTn4ZcHL1/wdpRfq/AGbdpOHvx/CYfWETSU7j/ywF+0/Zgz\nZTDEumXPEMulQSVVHRAUFFQWozulWVLOCxcujB8/vpL3vYvU7SJtOdVCkcm9RD0XOJw7Tomx\nM3WrytVlXam4g/H5H4v+HJ7z3wLlmQF9sWAAACAASURBVK8L97+S/+dDueZeep5NxD1X4NVU\nv6HEp4VkwA8ud3Ezhx4duQna1GiN3Znimo6uzH0ushbxAgICVY4wYlcCds0pnBwPp/0ByQ6K\nzDFqFzuTdCXG73HUKvXtTF/zSJdGx6NiO1y81czRJaM6b/5x3+QcpXvx6U/7xu0bGRt16KhX\n424AeTcoyij9xspktjUnPx6PZjSfQei4snmjlInvvvtuyJAhcYa06GKxuNQsFIcPH7548WKz\nZg5fdQ2ny/vOgT2lN3eolGk6n5biFk/LS3DRc7StRSKv4EeQfk7z34ICrdm/VBkXNUc+KOi7\n3MUYqdOFETvcCjN1IhGOVv7dSXJuaA++WXD7uBoQSWg6zqnL+4oybvipEfTty/btdoJGNBq+\n/JIlS4iNpW5dnnmGd9/FxcX6EgEBgapAEHYlMBJsUmwxAhyZR9wuQ5sKMGZfsMnBCiABh0vp\n722kMkmQ963EjEBj5I//Rux8Z+CbvyyKjB6WX+TSpsFpnU4Uc9P0vmXmexlVXTGxKaEL5pxe\nsKa4xbL5xhWmUJgCkH6SQ09RmEqzVyr/copp2LBhdHT0b7/9dvbs2aCgoIKCgtmzZ5d6VVpa\nSQYrNZ/6/aT1+5Xp2RLYSyqRo7GcvPUIFXs0quAQ2o2/VRrrqWBubldpVdbr/GpIdldNIXue\nzc+8pB+h1Gm4uKZIIhN1mVV7ZoeXL6dTJ7LNVhv368fkyabT+fP54AP98e3bzJtHbCw2jo8C\nAgJVgiDsSqA3vA8fm0UawwrH9RvZC4rM8ozJYRkYR2JawzSwyrQ9EwIq2N9aj+iNCXtmLDNN\nRO6/0GfNgQnrX35CpxMVqZ3kssIEho9d8cehw3ptfSmpqW0rJ84afBAUgdTpkR57MeKfaWfj\nWwV4JY3r+Uv7kJhSMr9Fz6TRZGRVll/cxcVl2rRpxcdarTYqKuqPP/4oob5EImnSpElV3b2G\n4x4s7vyu4uiHpuUNUhdR+OcuFU56orKXFVerRp2vqwmDc7bE7VIZVZ2RC6sL270qr8m7ZCxo\n3JjTp5k3j+PH8fRk+HCmTzflEEtPt5MibO1apk+na9c73FMBgfsBQdiVzFwYClshHTrCZCjh\n3+iR0NpsCV0xM6AtnAJ/GAVWP9jLoQF8C/HQEF6B/1lWSIH34U/Igg4wFx7k3uXVT4fciv/+\niz8mqjQyoKHf9e79GzL0pCjxb3lRJr5d6jV49MCT4uPHuXyZkBCmPmFnWvN6coPgYJKTadOG\nFyete+s999Rsn+KiRdve/PbDyGkPbef2HnRqnP1J/tf6eo2SzDP49TJF8m6StAtNHj6dqFOp\nPctisXjLli1btmz5559/NBpNeHh4RETE7t27zetMnz7d1iTlHqb5RKc67SVXfyvKv63zbCxu\n/pSTS0DFV7wZF8+Z4xIgdvKooSIpN87Od1irJi9R69TsDjpLV5LgYL75xn7RuXP203/FxAjC\nTkCgOhCEXan0LLP/iDNsgWdgLwAyeAk+sbc31ogcZsEsUNmrVgiDwZjh/iD0g3/ggfL0vzYh\ncvZduPGp14+t/+/wLW8faacB3Z3qPQOYZ/QSQdeu+l+Eh4cXLv7WupFrCXpVdOIEU06EWJVO\n/3RY+BPDmncGIHatHWEHFs52l7/k5OtoDPsb6o+k96+IK7UAauTIkSNHjiw+7tev32uvvbZ+\n/XqNRuPs7PzKK69MmzbtpZdeio6O9vLyGjVq1JQpU8roZlx7qdNWUqdt1ZjzhT3qdGF1UcZF\nizGwLu85V92yySpG4WevZyIUfvfKh+7uXr64gIBA5RCEXdUSBv9AAiRBUyj7k8uu+FtlpuqM\nTIdTFe9gzUcs9+s6vmvjdCcnJ6fS7EI++rzxngMpUefKMb6lVBIZSfPmANTth9QNteVuFddQ\nvA3LHNOOcdwyQVz8Fk7PoZ2lb3Il8PPz+/nnnyMiIhITE4ODg69cudK+fXuj+11kZOTOnTt/\n/fXXqrrdPY9EzoAfXY7PU8btVGkKcQ8Rt3/VOfShanQ8riQNBshc6hYW514zEjJE5uxTjVI0\n54b25GfK5BMasYSAHtIOr8srM0paCm3a0KwZFy293L29GTCguu4oIHB/Iwi76qAeVEm6G1sX\nPeAMFMLdSRhV03Bx4Wi036oI5aF92XK5KC3X5/fNpc9e5edz+zYqFfXrB9LlS44+g9bgwiB1\no+fPGH3Prq+xc/3VVdR9kNyruIZQt18lR++KUSgUYWFhwHPPPWflabxhw4YHHnhALBbn5uZ2\n7do1PDy88re7xyhI0Z3+qjA1Wi11EQX1kbaYLO+73EWnQa3UyVxr6kidASdPUd8Viv3TC/Ju\n6bVdQHdpj/nVmFwkP0n71yiTBcyVTUWJB9SPRLqVsHm5UojF/PILgwZh3BLk4sKqVdSpUy23\nExC47xGEXQ1kD5wADwc2eE4lzu3ed8hkPPei83MvOgOffMLvm0u9gm+/ZdYsgIYNWbZswkND\nO3J9NXlxuDehyXMogkxVC22NBkF5mz2G7CPuTQnfhFcbU6m2iIvLuLmRwlS8Wosbv6nz6Vx6\nn9S5FCQWyYIOHjxoW/jyyy9rNPq5xYcffnjTpk1OTrXIDKN6yU/Sbh1mkim3Dqrjd6sHr3UV\nSan5qq4Y/87Skbvdbh/T5N/WejWR+HWo3qV1JxcVmhv7AflJ2pjlhV0/qLZ9uB07cukSq1dz\n+TINGjBuHMHB1XKj9HTc3BD+OgTubwRhV6MohBFg9Mu1K+AeEWylHfHQQ7z7bil1JBIMpnJc\nv85jj7F3b6tu3T61X9vdzq5bi021OZc4MJZh0YgNY6gHnyTud/1x7jV5/Nai8O00GOywQ8pk\n/pvOjQ2gQ+uk09lZSm9UdcCff/45Z86cefOqbC64tnPsI6WVTLl9TH1pXVGzCbXp112qENXr\nW46nsSpXF/uXJiNW4ttY02iYTqooh4RNjVGXMViV+Pjw6qvV2P6vv/LOO1y/jlTKwIEsW0bj\nxtV4OwGBGowgEWoU75upOuyN2IWV6Ldyv9OmDYsWWUQCA/nySzp3xtmZhg1p2xaNpbOEUsmc\nOXaaUirR6aDpizjXLeWu2RdI3q8/Tow0qToDsqiXrC8xotNy8Alu/FosFp3ERT3K4HPyzTff\njBgxok2bNg8//HBkZGTpF9zTJB2xo0huHa5mmXJXSY3WbO6fc3Sm+tLX4sNvqLYMyLXaLFIy\nEic7KrDCjtA1gj//5IknuH4dQK3m778ZNIisrLvdLQGBu4Mg7GoUq+0FR8IMeBpWwGnwv9Od\nqlW88QbHjvHWW0yaxOLFXLjACy9w/DgFBVy7hqs9x2KrVd1bt9KmDa6ueHgwbkrd5JaRGOdS\nHSUZK0jSH6Qcsi0U5V5FmWQbB7j9D7ct8mx+PQWX0tZPpqWlbd269cyZM9u2bRs+fPjnn39e\nygUC9xAapW7fy/kFyYZBSh15idp9/8vXlVnK1rPnHd2gbIbSNZSZM60j16/z1Vd3oysCAnef\n2vzHfA+Sbi/obC8BhoBDunShSxf7RXaXa/v5kZFBfDyNGrF/PyNG6OO5uaxbx6lTHY8fP64Q\nJaPKRqdhW3M7TbgbJn3EDv6gRA6WReZcsgq0acCpT5h3fHjU+QQfHx+ZTLZjh71Utma88847\nDz74YFJSklwu79y5s/t95iIR0F1642/rse3AHvfsk+32MU1uvNl8vQgg64o29ZTGr2OZFue1\ne9k5cb867bRpkC+wp7TF5Fq7H0ur5cIFO/GzZ+9oN/LzRRER7keOiLy8GDOG/v3v6N0FBMy4\nZx9/tZNmYPswalHVd9kFu0EFPWB0FeZFrflMmsSff1oHi4rw8QGQSLD1Vzl7logIpk/3x9kf\nIORxbliajwQMxLeb/jhwEKetZ3a13p3Ecl/sIrejNMPqsuqbJcXL+27fvt2uXbvbt0vKVldY\nWNi1a1eVSgX4+vquXLny8ccfL6H+PUbXD5yTjqjNl9nV7SJt+mRtWmBXLgoz7edNcRS3RSJn\n2O9uVzYU3T6mFokJ6CkNG+1U4VQfd42NG/n2W+LiCAvDxYVcmxTb3t53rjPJyfToIbp2Ta+O\nv/6a115jyZI71wEBATMEYVej+Ngsk2wxQfBild5iMvxkdtoP/oZ79lfQikcf5e23+dRsp0Rg\nIFEGr0CNhowMO1edMvcN7PoNYjnX1+i3UDR4lA6fce5T0o4idiJgIM1f5cIXpvoyd1XHbxwO\nhgQOQhFEQaJF0K+XcdNG3bp1t2/f/sILLxw5cgTw8fFJT7czrKsyOPunpaVNnjw5NDS0qKgo\nLS2tTZs2xS4q9zAuAeIRO9xPf1WYclItcxUF9ZW2mCwXVfWD7cbfqsR/1Zoi/NpJmjzhJL57\nG9M9w+xLMM/G5ZBmYilNxzk1HVdr//DnzMGYc9lqLYWRJ564U72Bl1/m2jWLyOefM3QoAwc6\nuEBAoBoRhF2NYiT8CO/ALQDCYSVU0u1pE3wM56AOtLXcnAHsgXlgb/vAPcqCBUyYwL59qNXI\n5Tz/fOmXWAzjyTzp8ROdPifnKm6hiGTs6ELOFX3pzY0EDCB8M3GbKEzBq60y9AUL/xQrZJ70\nWseBx02L8Dxb0tMiOXr79u0PHz6cnp6ek5Pj5eXVoEGDnJycEnqrVCoHDBhgNMObMGFCRESE\nXC7PzMz08PC4J5NYKPxE1WjVoWPf9PzYbXrpfPU3LvxcNOx317vlpeLTShIyVGY1+9zkcSf3\n4Hvwk7XPtWsmVWdELEZrmKF2cuLjj+lZqex/5UCnszMRAPzxhyDsBO4KgrCraUyCSRAH7uDl\nuFoa+JRhFnUdjDMc3zLoRSs23VfCDmjVilatAL61SUdml0cftThNSuLHH32uXvUJCeHVns+7\nGVWdvngX9UcaxZmuoKCUD8m/Dw9fJDGS/DjcmxE0FHvDQT4+Pj4+PsCKFSsmTZpUcpPmFsdr\n1qyJj48/f/58UlKSi4vL+PHjFyxYUNyUQFm4ukVlVHXFZF7S/PepsvtH1eghXDK9FiqcfUSX\nNxRpVUjkNJsg7zCj1q6QqwCHD9sJarXMm0dhIe7uDB9OiypfweIYrZbCQjvx/Pw71wcBATME\nYVczaeAgroKFsBgywBWmwMfgKO+WBl4rw72yK9jH2o9fGVKRzZ1Lr16m03//5aGHyDa8ZxOW\n7nCzHVG9tYOmji1ObJF5EFLWaaOJEyc2adJkxYoV165dCwkJOXny5OXLl0u+5J9/9Btv8/Pz\nIyIirl279u677+7bt0+n0/Xp02eAkNmpROJ32fEJj9up7v7Rne+LHpmbqPvHirYzRanXc/0b\nuTu73k+qDpA42CMSHs5dycsikdCunWlJh5HOZXAmFxCoBgRhV7v4ABYYjvNgOcSDtXGagUQo\nadG9gfZV07VqRA3XIAtagFsVtjtwIMHB3LxpEezdm2nTOHkSLy8efphOnfjvP7ZvJzubDh14\n6y2TqgOkEnvZQbQWQVHuVU6vJPs8zgE0nEDQsPL1UpXD2Xnc2o4qB98utJnTo0ePHj16FBeu\nWbNm4sSJVleIRTT0p4475xPJthk12L179+7du42njz322Pr16+/JKdoqQWNvLEZTWNadCtWH\nWIpLIFW+mrAWEB6OszNKpUXQx4dOne5Sh2DZMmtN2bEjU6fepd4I3O/ch0+F2ksKLLIJboZD\nYHc1iT3TNmtcYAYsgThoDONLnP8tZj98AZehAUyz2e1R5RyEqXDR0NtZYONZVVHc3NiwgTFj\niI/XR9q25eefCQnBKJY+/JCPHI/NHLrU87FuG62jfqYhPnHaYfnB4WgMP0I31tP6XVxCSd6L\nToNfOI2nlZRtVlvE7n6kn9Cf5l4jYRtDjuOhn2maMGFCbGzs/PnzlUol4ObmFuaTu+o5OoYC\nRN+gQ2mpODZu3NirV69XXnmllHr3GVo1ObFaZ1+Rb1tJ3G4VOouFD3XaVUHWr6JsnUiMzO0+\n2pZeNdSrx8KFTJ9uEYyIwMXlLnUIevdm/35mzdKdOKHz9BSPGMHcucjvs5FUgRqDIOxqERfB\nrr/8GQfCzgf6wj7LoBy6wQlQQ1cYAyPAuBj/I4gEq398d8M2yIJO4AJTzO77N8yF9yv+mkoh\nAUaAIXc4+fAO1IFnquoG3bpx4QI7dhAXR7NmDBxoMc+zZ09Jqg5485dFA9vs9HLJLFTJpRK1\nRKzBsyXNZxjKdU4nnzWpumLOzDcd3/iVaz8w8F8kDhZsXfnGpOqKUedxYjr9dhoDs2bNev75\n56OiohQKRWiQl3hHh3pe+u9JnbJZ2q1du7ZevXoJCQnNmzcfMGCAxNFU132CjtNfFZ5aWajO\n1wH+naWuQeK8RJN1nNRF1PndSi2wSzqsPjZHWZwuwreNpOuHCv9O9/d7Xl5efpm2bfn2W27e\npHFjpk+nQ4e73KXwcO2ePenp6U5OTh62tkkCAncQQdjVIjwdxEuwa/oBeoO5m8an8ApoQQN5\n0NRM1QHJ8CScM/tizIDPzVqznbCbC09CNXlqfGOm6ozMr0JhB7i6Mnq0/aKNNoNxVtxIDWn5\n5rlAf+Wpq8ESsaZ/16uLv6rXXGoYOci9Lsq9WkoT6f9x5mPaOcj9mmJvnXiqdX4LPz+/QYMG\nAVxaiZdJ/df3oXczDjiwgzASFRX12GOPFR+3b99+27Zt9erVS0xM9PLycnFxAf76668//vgj\nNzc3PDx86tSpTvd0kvXzPxaeXGTS4skn1G71xWGjnW4dUmuUOr+Okg5vOHs1qfjMdcYFza4p\n+RqlfjI37bRm58S8h7e5eTQUZsPLQ9++9O17tzshIFATEYRdLaI1tIHTlkE/KGHxe0O4AKsM\nucjGGlbUiUEMeyHF5pLLMA8ywB38zVRdMbYp6ovgYLUJu+v2grGgvTPZ8MqSbTI5J/BWJoBa\nI4k82OLkIGJi8C9O/KYrWwbPxL8cCju7hmkiCTHvk3cd1xAaTTHlvQDyrN+xn56n/3xiDZ+z\nVCpVq62TT5lHoqOj+/fvn5GRkZycLBaLBw0a5ObmtmnTpuLSdevWrVy58uDBg56ejv7NqN3o\ntMQst1xVpyM3Xtv6WUnvxVWzDTZmaaFR1RWjztedWq7sveTuzSTeDxw/ztKlXL1KgwZMmyYY\nkQjcw9wjwk6j0eTl5ZXs71XCtYBSqSwqKqrqflUxYvF3Li6jRCL9CJxO56FURqjVUuOom0aj\nyc3NFYmsVu1MMTs2vUUyWbKzffOv2eXqlVJZpFJV5J13hE6nA9RqdVGRj+3YkE7nn5ub5+ha\nkSjbyWm+TLZZJErVaFoUFb2tVj9c4Z40aeIE1gtl6tXTymTcuCGuV0/r5MS1axYSMymJjz8u\nmjevEEDn5yoPEBc6SBRrQKsqyHPw1ZV593W+bpNBWJ3PWYMQvPB5QcdV6oCHis+cRN5W3W3k\nz7nFzj/lLrp46WpAQECHDh3GjBlT8l/KRYPjq1ar3b59u1Xp2bNnX3311WXLlpX8omosOp1O\no9E4egeKMjFPYgH6pXWpl5RBOfa2UZSf9Eu2/x2RdlFV3sdXLXpwlYqDB1eVId28WWE0CTpy\nhI0bC+fPL/rf/8zriFJSpLt3i1JTtc2bq/v1o/zbiYwPror9EtlSWFhY/CkLCJSLe0TYicVi\nZ2dnhaIi/1IXFRWp1WqZTFYbJpg6ajTnxOKNcAmCtdrRMpm/zGxMR61WOzs7l3GHo0hUJatS\n5FLpg1JpVXp6abXaoqIiiUQikUyFCCgwL9XpnnP8QWslkgkikd7dQyI5pVCM12jW6nRjK9aT\n6dNZvVoXG2vxe7Nqla5fP51Go5VICA628xe0Y4fs+HFZaiqtWzPvpS9bJjuY6DVSp7vDV9R4\ngi55myh+sykiklgMBGqUiujndXV6izKjdGK5zrcHMg9UFhY28qaTn+lkMmLeuXPnjBkzjh49\nCtSvX//GjRuldM+GyMjIiIiIjIwM7zuZtamK0Gq1+fn5jt5wJwkSpzyNjVJy85cpFFWTbsLZ\nqyDHZuRb4S1RKMrnsVyrHlylUK4HV1nR6UQ3bpCdratfX/rqq1aF8jlzJGPHEhJSfCraulUy\ndSqZmfpLu3TRbN1qP7e0Y4wPror9Etkik8mE7eoCFeAeEXYikUgikUilFXk5xfNQFb78juNp\nXGFm+ycvEomkUmmZnwVdYDysrVx/5kmlVTwPq9Vq0X+mbeF7eBEyDYUTxeJZYrGjT+p3+Mcq\nJJHMgMehIovTfX3ZvZsZM9i+naIiWrXik08YNEgCFH9Z3N25ZeP6fOmSXgheucKWLaOO/rW/\nq9tiss6jCKTBSM4vJj/eVFvuJ+7widjqu6fOI/siTt64hRK+idi1JP6FOg+5H9d+sL6fKlt0\nKxIQgSgvFkU9JM4ok/Wl9R8Rd1ps3n63bt0OblupStyDTrvrnHzY49OtGyyNzMxMPz+/zMxM\nT0/PF198cdasWVX1S3YH0Gg0xX8mdkulUhqNdLq8wULZSV1EjUbIpdKq+YkNGylPOVlgHRzt\nVN7nT217cJVEOR9cZeDYMZ55htOnARQKCqzfcAoLpYcPU5xwLy6Op5829zESHT8u/d//MKxA\nKCPGB1dVfSJisbj6RjEF7mFq/RNBoHJ8C/UhAtIhAJLtraKzIgL2wRWD3Ul1L1V5EgbBv5AD\nnaBliZVtPEIBbkOiY8/nUmjUiC1bUKspKrJjpzB2LB9/XEoL41/pvWtX+IULBPjRujGS4LGc\n+oDb/+jtTtrNtcw5puPMx5z9BE0BgHd7un1Pwwk0nACQ+LcdYWdFQQIt38G/F8oUvNvhbTMu\n+9+rXFxaPPo0UEPPtgGHTpUyWWxFUVFR8fRfVlbWJ598kpyc/N1335WrhZpMlw+cc25qk47o\n1x06uYt6fqqowoRdzZ5ySolSX92sMo+Eja71o241iKQkHn6YZMP/NraqrhidYc5982YLd0pj\nMDMTr1LtnwQEahyCsLvPcYEFsABywQ3aQ4xNnR5wAzKhM8yFPlW7KbUM+MLIstW0a90nKpul\nX0lIpdj9J3zWLA4e5B/rUUILrlwRhYbqj9u146uvgv7887u9e9Fo6NOHd5rj48rNm8TH07Qp\nddJXcOoD08UZ0ex7mGExyOsAeLdHJEVnvfvBmswY2s+3XxT7CxeXml6XhI3PJr30R4ctO6MA\nmUzWtGnTs2fPml8hEol0OotlZ75ujOtFQz9iU1h3mO+///71119vcSeTOEHmJU1uvM6tgbgy\nG1TtInMVDV7nmnREnXFeI/cWB4VLnX2rdNRERO8lLk3HaW4fV4vEBHSXVokrnoCJiAiTqnOE\nkxO9e+uPU1PtVNBqSUsThJ1AbUQQdrUdDfwCB0EC/eHBirZTnNFhsc0e2+aws3LCKAYWwFkI\ngCdgcnVuaH0I5oClbxx9obpSozo5sXs3W7Zw+DByOQkJ/FDigFpMDA88gHGx+7FjrFtH48bs\n2wcgFpP+3XxPq+0PBYlcXUXLtwAUgbR+n9OzS+mWxN5qrYJbyOtw/SercJA3m99U5Hy5JevW\nOb+w8EK3tkOGDDlsSMepUCjmzp177ty5yMjIvLy8Ro0auRbE/Pk6PoYMILMfZeQSzpw5c8eE\nXX6S9t8ZBUmH1IhAR2Bvae/FCpe6VfylCuguDehejY9H/84S/86CnqserpbmMQR88AENG+qP\nmza1U8HNjfr1S2nkxg3i42ncmLp1y9lFAYFqRBB2tZpCGAAHDKdfuroOE4legY2QBK3hZQgq\nqQFr+kMkvAenQQEPwcLKqbp/YAgUC5nTsBOOwLeVaLBkWsN8mGEWCYJV1XY7AJGIUaMYNQrg\n4MFShB1gtYUxIYGEBP2xQpbnKbc3K5p7xXTcehaKIC4tJ/cqrqE41SFlv3X9eg+ZjnVazi/i\n3AKKMhHLkNmzTk074Z4y0h2IQ173gYN7tkTuPh4VFVWnTp0hQ4aEhoYCWVlZKpXq/Nno4JiB\nPmZ53bxd+e5ZFm3/a/369QqFYvDgwePHj6++Fd86LftfKbh9TK3PAyHi1kH1v68WDP7FFWEx\nkkAxdmWWpyf9+nH5MsHBPPssI0aYisaMYdEiTp2yqP/eeyWljoiPZ8oUdhp8wp96ipUrcavK\nhIcCAhVGEHa1mvlmqg5AJouESMPZNlgJ+8uZDXYoDIVCcKKyP5U6eMag6oxEwASovlzdr0Ff\n2AS3oS1MgbKlX6gKevVi+nQq7ASSX+SSXeDhobBZ7uMcaDoWiWk8jcbT9KeqbP6vB1nnTBUa\njKLRZNPpuU+IMaQG0aootDV8Bq3ZZ3R7r+joM8MfWD68vRYnH3wsfiO7hemcEiwuTc9l6Kdc\nva0fCFy7du2mTZu2bNlisehblc311WRfRBFEyFjcKr7bJu2M5vYx65nopCPqtDMa3zbCAJgA\nABMnsny59dK6l15ingO3SGdn/viDl14iMhLA1ZWZM3nrLYftq9WMHcthM/Pwn39Gq2XNmsr3\nXUCg8gjCrlazpbQKOTARTpVWzZYqyXIYD9fsxfdVp7ADOkLH6my/JJYu5cEH+fVXUlJo2pRv\nv6XsRlQ6nSjin2mvD1tsEZW6/nXpub++Jj+fLl2YOhUL90GZB0P+42oEKYeQuhAwiJCxJkWu\nzuNMaZs7bEn4k4Q/9ceuwXT/gbr99HfDeh36m79w9bZFZOvWrT/++OPTTz+tP88+z+7+FBg2\nD5/5iG7fEzqu3L0CIC/B/uae3AStIOwE9LRqRUQEL75o2hIxdiyzZ5d0SWgof/1FVhbJyTRs\naH9FrZH9+y1UXTG//MLcuQjJxARqAIKwq9Xkl6HOaYiH0haLVAoVXAYnaGjpKuJowK9q5+m0\nsAmOgAwGVP8uXR2sg6VwHYLhOZhq9YpGjmSkYbNHbq5mzZpyCI73Nsxr6Hd9dJff9edO3s/8\ndvL79fr59J9+YvlyDh/Gwj9O4kzTl2n6sp3mcq9bZ6otRu5PYbLFgSPybvLvYww5LsmKozAH\nX+vNxdvt/dcQGRlpEnaHnjKpwGu+vwAAIABJREFUOkCj5Nhz+PfBpSLfSddA+18e1yDB7kvA\njPHjGTiQffvIzKRz57JmkvX0pCwpVa7Z/X8VUWwsbduWp5cCAtWCIOxqNR3hSum1rCdDq5Y1\n8LohNVlD+AoGG4rqQzOwzVTaz+xYDV/B9xAHjaHYc67sFMJg2Gc4XQiT4Mfyvoby8BkY52hS\n4Fm4Cgsc1v6sKDPT6c8/9dquWTM0Gq6YfWgyGSqT8QWFKvmS47/9GpsRc0rs6aFt2tLl5/UW\no6cXLzJjRukr+fQ4OTAQbvcx9Ueg05B+gn2PlNJIUTp/d3RTZQFIFNTpTuoRU6G9HbqmXAi5\n10g/aV2sziUxksbPluUVWOHbVuLfWZJ8wmIU1L+z1Le1MFwnYIm/P4YMyFVMYKDdsM5BXEDg\nDiP8m1urmQ+ljvwHQmi1dWAXTDRLOHsdRoO5WcYqm1nd6dDd7HQGTIcYSIdj8AQspRx8bKbq\nivkJqm+lSyq8bxP8tAR57e7Ohg2q8+f57TcOHeL0aaKj+egj+vWjb1/ef59du/QmqcW0bcuJ\nE2zY4n3xmuexaO+ff7EzJ751KykpHD3K7du2hZa41KPuA9ZBJy/qPYSzP4pAAgfjXYYlmCpD\n0lxNAalHqD9Sb78i9+3Wvolt9Xbt2v32228RERGnTx5y0GAFcy6JxPSZl+TfyGTKUzcsps/8\nWyLhSSZwx+jXz85G2n79aNbsbvRGQMAaYcSuVhMGB2Cm0e5EpcqSyf7Pss5X1Snfbc3S8mGx\n2UbUnnAKPoMzUBeeBPPsXmdguU0LM2FCmTvwm73gpvK0UC6iHQx/HoPGJVzWvDnNm+uPZTJm\nzWLWLFPp2bPs36/3sXvtNQpLS0malUXdunp31dGj+fpr/PwsKqhUnD5NaiqtWlGv+0/sGUjO\nJcPtPej+IwrD0ILYifDfOPI0yftNEW1pQ7w5l3g0BVUOMvclbS7t69QpNzfXWBgcHLxixYqM\njAzAVU7at2K51GJhXFY+C746sf+/XkCfPn3efvttr7K7henUrlfHDJ1yKj2pdW5GsJv3TZ+A\nM1xpR+PjiGrc00yrQlw1ecgEqprcXL74goMHcXKiXz9eeIGyZ2ZTKNi4kbFjMWRVpnt3YeeE\nQM2hxj0KBcpJG/jLeJKXl+zp+YNI9CvcgjbwTiWc7cqCXb8oq+Grpo79TU7YCyohBtqUrQO5\n9oJVk4HbHo72lJQvy6d1o3IGDgQoLOSE3bfEEvPdGL//Tl4eq1YRE4NcTufOnDvHpElcMgi5\n554LHj3q7Gdfp164rAj0L5ww2fn5AA+LP3u3RgzYS+518uPxaMqVbzn1YSk9yL0OIHMHmjZt\nevz48Q8++ODo0aMKhaJnz54bN24M8cp9Lpw67sTc4L0N2s/MdkrkKGn5ligxY33x6aFDhzZt\n2hS962vX5N8oSMSjOU3/V9Lyu9SjZMQgwifwtE/gaX0wI5q0Y9TpWfp7d0coSNH9t0AZt1Ol\nytd5NZZ0eF3eYKCg72oSWVl07mxaErF1Kxs2sHcvsjJ/TG3bcuoU//5LXBxNmtCzJyIR2lLT\n9ggI3AkEYXeP4aTTvSkSvX2nblcXbtoLlpHK66R2EGcTLNtC6YrQGfzBareBO/SpktbFYkQi\nLLM8lM6OHYSG6hfqeXuj0xlTmQN88w3ffCOFACAuiWMziDrD999btSHCrRFujQBavUfBbS5/\nqS+ReaCysV+xFF7NmzffsGFD8fGCBQue7pX72TicpABxaYS8Qp6Stx6moR/puYxZSmKGxSsc\nGnbF9aDRFvsPLq2g3y7qmM/Xm6F0MP1cUL6saNWHpohdk/PSz+nVd8ZFzZ5n8/t959Kgv6Dt\nagzvvWex0BU4dIilS3njjXI04uRE//5V2y8BgSpBWJkiUBmmlTlolwfsuR/XK49ZySdglX4+\nEKpP1yrgR0vdKYdvoE6VtC6T8aC9AdYhQ6hfH09P2jtYDmfcfpGRYaHq7LJqFYccrHwDEEno\nspKR8TwQyeCj9NuFRGFdp5nNDtxbOzgzl/OLJGkHFj6pV3VAWi46HV/vptGruDyN73P8c87i\nurC6LHzSsil1HoeeQqfNycnR2FrFFKtPW9xLmgrXFHF9qyr6c+WldUXKtHIK53Jy9bcio6oz\ncnyuvb3JAncLo7GwOf/3f3aCAgK1EGHETqAyTIMzYDTkdYaPYFCZLw+ElTDZLKKA1VD2sY3W\nsAfeNtid9IdF4F/myyvAUDgN38BlCIVnoHUVtv7113TtSkaGKTJpEj/+qD8+cYIuXarmLmvX\notXSty9jxyIWExdHYiJNmuBTnH3NpR4u9fS1u3/P8ZcoygAQO9H0RZr+z9SWtoh9I7i1vfis\nrwfOZp9eQz9kElQagAJ7K/f6t7KoX8ya7Vc/nB5y+1Y8EudHRoxcvHhxUJAhgYp3O+o9RMI2\niwvqP4KXjc1EYSqFabiH5cSJd07My7mhnyZz8hB1mo/n8FLfpAqSft6Ob2HODa06Xyd1EZJj\n1AzsekuW3XBSQKBmIwg7gUqyFF6AQ+AE4RBSzssnQXv4EW5AM3geQqBcS1W6wz5Qg/hOjUA3\nhkXV1XRjzp9nyRJOnsTHh5EjeeIJU2nHjnTpwvHjlb2LcZ3311+zfDkKBbt3A4jFTJ3KF1/g\n4mJWO+RJAofm3dyjLcxyC3lQ5BZq0daZuUZVB7Sz/Pw9XXjzIeb/4bAnchtVt+4Qf8ewY3p8\nkwDyCpVbTqyf+Nip3/8+fO3aNaVS2bJlS4/uP3L8RW4WT/6KCHmcListmsg+z9FnSTkAIHM/\n8OOJnBum5QFF2br/3ie4h87Zp1pklszVTrNiKRInQdXVGHr1spNPtnfvki7Jy2PRIv75h6Ii\nevdm5kx8fauvgwIClUEQdgKVpzk0L72WQ9rB55Xuw73zTa5bl08/tV8kFrNuHaNHm9JaOjuj\nrNwsn/m0rFZLRATAwIHExODlxcMP06wZew95/fHH8Lw8TXi4Ytw4JOaecbFrzVuT23wOcx5F\nIndfvE2Tn58vFotHjRoVHR2dk3K1U0OAS5ZL43Q69l/gl5cANGq5q7xwfC8y8841bNgwPT0d\ncHV1nTNnzuuv/0rhSnKv4hamN14xospi73D99g7Iue2bfM560WdRJgl7VWGjy7wLsjyEDJad\n+dp6Y3PwIFnN27N7H7NgAdu3k2y2WLZ585JyiCmV9Oxp+qs7coT164mKok7VrMEQEKhahIeN\ngEBtIiyMkyfZt4+rVwkNJTGRyZMtKsjl+PqSmKg/HTKEffus02aWTESEXt4B779PeHjOrl3u\nxTtdIiJYtixn5kz3774jNpbQULZOzCx54lwq4aOF336wdszNmzcDAgJcXFwKTy0Un35fJlIB\nW05KV+1TT+mrr5yZz7sjuHHmkejd72alNpE55YpCVs3c+1FuYXpxhby8vDfeeCMwMHDcuHHW\nkq6Yaz8ZVR1QVGDfSKUws7pW2tVpL+n4hvPJz0xy27ORuNtcm3WKAneRwECiovjoIw4eRCZj\nwADefRdX2/W+kJeHqyuLFplUXTHx8bzzjunvRECgJiEIO4E7TyGcAzW0ApfSq1d7ZxbCKkiA\nxvA6THGcDK1GIJHQrx/9DPk7EhL4+GO9dPP358svGT6c48dJTaVtW8LCuHGDZcs4f57AQA4e\nNHlvle1e+bt2uZtHTpxwHzNGf3zhAse6tezV9KD1ZZ6tyItFnYd7E9rMJuQJKTRq1Ajg1nb5\nmbeNb3BssvqtXzgTx4Te1PfhfCIhmof3rltdXFqk9Fx7+HZuobUIW7BgwbhxZh4q6jwurSDt\nOFJXq+2x7r7XxGKVVmshPr3qXgjzns3GgyDCvw8dFuLRohxvSmm0eUke1Fcat1NVlKXzaSVp\nNNJJcLOrcQQF8fXXJVX4/nvmzeP6dTw8cHe3U2Hv3urpmYBAZRGEnUDVkg2zYT2kQgt4H6yy\n+myGl6A4eagXLCzPLtrq4HmzFGTn4RlIhzfvYofKy7vv8txzREWhUNC+vX7cITzcVCEkhMWL\n9cfPP18+YdekyeWYmHYlVHhvw7y97z9gEXKuS//dyP3QFCC1GQW5aGFJ7eeOSsPnf/P53wDO\nMtGalp+YV0hV37C9aWxsrOmkMI0dXcm1n77TyTm7Td/PY/4xzbK5ecUNe2GwrMCQSyNhGymH\nGBZTsdy1jvBtLRGynNVivv2W557TH2dnk23j+AOIavS/fwL3M4KwE6hCtDAGjFYCp2AsrIGn\nDJEoGAfGWapMeBbqw9A728/tsBc0EGAvsez7MA3KnAuhBuDry4ABpVcDPviA338nJcUUEYtL\n8lVVKEqZxN13vu/whX91aHIl+mqYwkk5uNf1p98dInGuC9hRdUBBgvnZsPYEenHLYNEi1njk\nZVkILC9JADCqM4Pb4uzE8at8txfTJlkg6g1Hqq6Ydg8uFPu3Oxs5pChHJ5YRPvUTmSzLokZR\nOqc/pJu1uZ/AfYpKxdtlsEyya00kIFADEISdQBXyp5mqM/IaPGH4pn1upuqMfHoHhZ0OxsO6\nEusUwVJQghcMr1o3k7tOUBAHDvD22+zdi05HeDhPPcXMmRiHwORyi5xmQUGJ9pqxIDJmWKQh\nd+umo/x+nm3bEDvaoOwSTIYp06u3K+v+x5NfyW+lFQJFOqUWjRjTWFdf90nPTlz9RE+9FcWk\ncF4cyL+KKYBSqXR2dtYlRJqPnOh0LPmbZ/vhbnAb3HtJ6zk64MlPPPKTtc6+YtGO01jqOoD0\nqFJepCqb9P/QKPHpgHNAKZUFajXx8aW7QQYHM982oaKAQI1AEHYCVUi0vWAqxEFDAGLtVbhu\neXpOJJrt7f0feMAoeNPGgri83ILlcA4CwKM0VVfMbMPBhzC3ds3MlkrTpmzebBF55BH27SMh\ngWbNiI/nSTPH4IICRaNG165dc2ALbI+//+b775nmaIK9+Wsk/Gke6NuCi0c37YhSJiQktGjR\nQvqbPO7/1MbSB7tc6dPTwmCscV1+P7QxMPDzpKSkwMDAi/PS3c0ymGz5jzfW8tlfDGyNjxvR\nN9h3Xtvhr1dPnjzpUlcM6OyOI8rcSnpJN37lxEsUpgGInWg5k7ZzSqovUKuxu6IOGDoUpVJv\nd/L223h739luCQiUFUHYCVQh9n4yAYy/moH2Ss2m1YiBHiJRgcFQIxr2wG6o8HKlaOgL9pbI\nlIlCeAv6QLeKtlALUCgYMsR0qlLxwQfExuLkhIvL0D//nD1nTsvt24colc6dOv334IMX5s9/\nuuQGd+xwLOzqPki374h6g6JMACcvOixyD3toTJi+vKCjLutSbnasfnq4QbPtVg28vpYV/6dP\nqXvr1q2DFxhitgjw3wsASZmsOWAKRkVF5eTkuLu7A7r6I0VpR6x7VX+UwxeTEcWRyWgMI83a\nIs58hGsIYVMcXiJQq6lTh3792LPHIujiwvLlhIU5uEZAoAYhCDuBKmQ4zLKZbA0HP8Px87DB\n5qoXzY5fAqtFXftgNZSiJBwzqQyqTgQ6e8dGNtzbws6KCROYMIGMDNzcirOiz/711/2FhbML\nC/Pd3XuLRBNHjGDFCq5fJzSUbdvsTFvdvs2MGaSm0r4906bZjICETSV4LJkx6HR4t0dmUayo\nI3pkh/u1LUUZ5zRyb3G9JmrM2r9ymxWWmZ9e+5nw5rgaBu3E9la0i0QisVicnZ3t4eGha/aq\nOnGnNGW3qThoOM2mO3w7Ln9tUnVGLn4hCLt7mR9+oG9f0wIFZ2dWrBBUnUBtQRB2AlVIC1gI\n5r+RgfCD2emDsAxmQj4AcngdJhhKNWAzlAJwsKLCLh5OlV6LQdAVbkITeN9eBds1Wfc+lhNN\nfZTKdiqVCnxB1LUrq/WGJIwYwdat1tceOMCBAwBr1rBkCYcOERysdwQrJuac+8GDvXU6evem\nnc2mW4kTTcYa3IPPdiFzi7HodJx15QuJdJ3FR2PoGkZBEbnW3sAAzw/3u7jMu5Gf6nym+EJR\nt5BBi4/vFbnl/weiPLcuI/p/V1dkb0hYnYdEQX68naJ8m34I3EsEB3PuHL/8wpkzBAQwejRN\nmtztPgkIlBVB2AlULS9DH9gAt6ENTAF3mwqPwWFQQTfLFGRikIBtxsYKf0vtZSe1xg2WQjPD\n6Wq4ZFOnTUU7UFVcgt2QDV2hZu3FW7KEvXvt20EUk5DA4MHk5REXh5cXEyagUlk4iE2fztKl\njm/Q7BWuryZb79Fi3BJhzrkExpi1oFAoCswcmZ8fKP3ySX2OAS8XrV/O4Rb9w1OzjV+zHR//\n1HXle8Ndk393l+ama+r69/mkQ7CKU7PJvYrUBUU9bHEtMXWeTsOVCOI3U5SJd3tazsStYUn1\nBWogCgVTp97tTggIVARB2AlUOe2gJOczCAC7S5pEMAAibeKDK9qTEAiAJJt4FzgDGugBi8xU\nHbAIRlhWbgbPVLQDVcJieA+MI1HDYDNUSzqsClCcCWPOHA4fxtUVFxcOH7auc+GC/iAzk+XL\nrUuXLaNTJyZOdHADqSsD9hIzi1s7UOf27Ns16IeTiUkp5lV8fX3r1Klz8eJFiUTywAMPLF26\n9OTJk5s3b05NTW3fptm8Tt+ZV/7wN8xUHcDUrnEPu39t+AfkuurGExgH6dT55FwGsXX+4uYz\nHL4jwMEnuLlJf5x2jNi1DDqC1z21vVpAQKDGIgg7gRrFl9AZUs0iTzpQgWVBAivhUcvg47Ae\nNKCz9/1/BDbA+3AJ5PAQLHa8KaSqKIKDkABNoYtl3osD8IZl5Uj4ED6hxhAWZpqZff11O8Ku\nVH74wbGwA5wDdmRG/N+/5ObSvTs/rflnzJhRWVn6+XEvL6/ff/+9T58+GRkZCoXC2dkZaNWq\n1YQJE4ALh9e5X7cQdocsB2Rb1efD0RYRmZ1ZWS0yD1TZABJnWr1HQ8fdjd9iUnXFqPM49iz9\ndpJ7DZd6OPk4fqnGGxYS+wuZp5H7UX8Eni1Lv0RAQEAAEISdQA0jBM7rdIvV6qPgKZONgXE2\ndeIgAq5BA3gampbY4GjYCZ/AWQiAJ+E1oMRtto/BY5ADior+gaTBP5ACbaBTaZVj4HEwpoPo\nAxvB33C61t4lP9UoYWdOp1Jfrj1SUy1O8/KIiCAmhjp1GDmSH3/kO4M2+/ZbOnR48OTJi5s3\n/xwbGxsaGjphwgR/f3/A2579hIu7tYqy0m39WpXevcx8Pj0QlpicJdIqXer1fKPLuJLcX27v\ntRNMPcxGL3RqgPqP0OUrFGabwbVFXFxK7C8UJOLZkrBnOf0hOZf1pafn0GkJQcNI3o9GiW83\nvEseERcQELivEYSdQE2jjk43Lysr3cnJSSbzsCndCw9BnuH0c/gZxthUM2cAlC0tgwUOvKxK\nZxtMhrTiE7n8gaKiX8F8aZgSVhhSX/SA1XDVrHQ/PA1/GU7T7N3CbrBG8PjjfPMN+/eX76qm\nTTl8mMREmjXDy4uePYkzbE747DPrylFRLFlSd8WK18vScnCrgXH7nRt4mba1Dm7LcbNEFRKb\nXbQ6yyHTgiLC53Am3uhgvOmX33aePHlSn/q2mMI0zi8i7Tgyd1Q59ruiM5jzxW9FmcrAfYgM\nj98jU4n9WX+sTLaWhtpCTryCeAYaw3R82FS6fuv4RQsICNzXCMJOoBZRBE+ZqTqgEJ6BB6DO\n3eoT3IK5cBTk0A1WmRusiMV7ZbLXYY0hUAi94T/DqbVJGwCRcN1g6dzcXoWqzFhftUgkbN3K\nnDn6xGXt25OWVkp2Wrmc6Gh69tSf+vlZZDyzy+bNrFhRtg6JxNruP+XFPOEq17vYvDuCDVE+\nl26kF58esNkq8885+pnNfC7dzhnLfbFZWVljx451dnaOjY1t1KjRWy8/9ZDkA5S3y9YhAFIP\ncWsnQUMBkv81qTpH6NRoTKbNXP0ez1aEvlCOOwoICNw3CMJOoBbxHyTYBLNgb2mDdpVkC0RC\nDnSB58HFrCgR2oNRidhZXyaR/Aod4BoEQIqZqiuBRIOw+x9E2Oz/+BjOwzUIhTJMJd5ZPD1Z\nsoQlS/SnFy/Svz8Jhs9NoeDVV9m0icuXAcLCyM/nmtkQWqmqDsjLszhVqfjpJ44fx9WVwYMZ\nbLnZJqTj2PyQjlHbXhPnXtLIAwJ7vPXvsS5r167dv3+/SCTq27fv0Yyfu3nrHY+z8nlyOftm\n0dwwU3rQdpM0/Pef/kNMSEh4ucO/FXE5vPU3GVEgoqD0pG12uPqdIOwEBATsIgg7gVqEo4T0\npSSqrxxPw4+G4/WwEo6aDRC+aabqHKEC47yhoxSq5ogMqg7whx3wIhwEoB68C8vMcvL2hTXQ\noAzN3h2aNePCBdau5fx56tXjsccIDWX+fL3UO3SIsWPL3WbHjqbjnBzCw4kxpJ/9/HOmTeNb\ny4lKF9/GHSbp85hpNJrc3NzXXnvttdde0xfrXj61ZYYkbp2HNCcuzy85+2bbmTzRg3YhpOaw\n7wJ2aVmPUD+u3maA3d2uPl20Mk9NforMpwU31tupcNFme3C5UCZX6nIBAYF7F0HYCdQi2oIM\nVDbxCq3YLxObzVRdMdfgFbM9DeVcTWblmmGfpyzTrLWFA5AFuRAEg2CXWek+eBL2VSLrmi1K\nWAMx4AWjyvz2qh09T9zceO4562C9eoBpJK/sKBQsXsy1a9y4QWgon31mUnXFREQwYADNm5OZ\nScuW1Cl1ll4kbjvqC/gCaACdN3Q5ceLEmgMWScnMqe/Dmhd5wDAfXmDjlngtmeeXXNsTnanR\naIKCUg7ODQt1vmpdqZK4C365AgIC9inL+IGAQA2hDtgmX38Zqs8M4i97wW1mx1XyF2SeQnc8\nrLRXxxPqwWlLVVfMQQcZO8pOoiEjyA9wA9rCs7AS5kFnmF/a5f9CT3AFDxgD18t+4+Dg0ut0\n7sy4cfj44OLCAw+wcSPvvktYGP360agRq1bZuWTaNNq1o29fgoJ4/XXy8lizhlmz+PprkpIA\noqNZsYKVKzllk5okIiLCxcV8tp169UwexWIR6/5nUnXA4cvmdclVMnQhO/9L02g0QGJiYu83\nrkbFmioUqSkFqRttP9JLN5k7wWOQuVnXafNBaa0ICAjcpwgjdgK1i7ehLnwBVyAEnoOXqvN2\nNklCAQrNtk72t8yZVkwjKF41JjczFnZEPYiGbIiDppYiz5abjuO9SruRI7bCeMg1nLoYEr4Z\neQ/6O9jGAZyAQYY3qgh+gxMQBXbMR2wZOpSWLTl3ziI4YAC5uURH4+vLo48ye7Ypv5lOx8CB\n7DZL9Kq09xEZM2GoVCxZwg8/kJGhj7z9tqRHD5cdO0yVX32Vzz83nbZv3/7MmTMLFy6MiYnx\n9fUdM2bM+PHjV69evWPHDqVSObybb+9Qi098+moOzcZDoT/9YR+Xbll0JiGDzu/TvzUtgohP\nZ95YwwI+V9Dp3+zbqtA0giVFt3UeLRsP/ULqHkzrWajzkSpARPI+jj2nT78h96PjZwQOsf/K\nzdFp0RYiUZRSrZrQqcm5TFEmni2Red6dPggI3JcIwk6gdiGGKXDH8q93seck19XMEGMh7ATz\nbZO9YC+kQAoEQ4j5JlkDoyAWNBAOs6AO1IGSzNEM1HcQr/Aau2SYbKbqsFF1xWyGdxy08JaN\n/L0BS2BuWW6vUPDbb0ycyPHj+sjjjxMRgbsDt5mTJy1UXRkxqjogO5sdO2TmpV98gacnyckk\nJdG8OS+9RMOGDb/66ivzOlOmTJkyZQrAzQ0csBB2UjHt3mHWKLo0Ir+Q1fYmcLU6dp5m52mA\ncT1p3gU6G3yvc9i6lHHzbuYpYwG42KLFhR07dly5cuXUqVP+/v4DBgzw8+/LQxfIi0VTiHuY\nySfFHOVtMk8h88CrLYVpRL1B/FY0Sjya0e5jGjxq55LqI/UQR6aSfQFA4kzLt2nzoaWNjICA\nQHUhCDsBgRJ4Hn6EaLOIAswzm9aBU/AZHAYnGAwvgRQCi8feVKq5Mtkrlm0Ogd8q+iPXDh6A\nvZbBbtDD7DQfFsAmSIc28AGEO25wB2Q4LjVi5c22C1bAdQiFE/bqR9sL2qd5c44c4dw5EhJo\n3pyQErOwxsaWveFyMMdshn/5cvbsoUsXiwq7drFzJwUFPNS9/iDLa2c/yqjPmVpmX7lNV3i0\nt2lJ5K1cJi0mT2lafHn+/Pm2bdtmZmYWn3p5ea1atWrUqFG4hpo1oxNlnnLKuCzStcSvPTHv\nc/4ztEUALkGIZOTd0FfMvsC/Y+jzB/UfKWsXK0nBLfaNoNDgOq1RcnoOcl/q9CDnMi4NqNPd\nvjYVEBCoCoS/LgGBEpDDbpgD2yAHusJH0MGyjjfMc3S9Wj0NnGWyxXAZfGECVGboQgQ/w3jY\nZ4j0gF/Mdk7oYDQYJxpvwy74PxjooMGsst3X/CV/A88bjm1WqOkpn72zWEzr1rQuQzLVoCD7\n8Y4duXABhYLgYKKi7NcpI7m5TJjA2bPExeHjg4cHzz5LRIS+9MuV3WIWdWsVcNRYf2Rnvn+9\n6czVGSkpKUCLFi2uXr1aVGSzpcLAk89abHTZtg2DhDORaRbKzMycNGlSfn7+qVOnCgsLu3Xr\n9vhD3cRHJspTDsqLa3g008/SFpNvzz8l6vWqFnY6Mk6RfxO3MOuMZ1e/M6k6Iyff0OtOwKs1\nvdbjWeOcegQE7g0EYScgUDI+sNRylK58aDQTZbJnoRDkVdGferAXYuA6hEB7S5n4u5mqM/IC\nXHHQWll+XDvBRIOnTJohJ1vJVMBWMBMSIazkd6lrV7p25dgxi2D37hw8iFgMEBdH27Z2pFK5\nuHgRb29ycgDatbPYdavRSh5asP7Zwb/+un9IbGpomP/V/435v8mzn5q8MOj06VhfX7f69f2/\n+uqrGTNmKA1r4Lp27Tps2LDly5enpaW5uLi0a6czN+hJTy+9Pzk5OU899VTxsURMu8/cW9Y1\nG0PNLtEAWt/EFdT5SF1Kr1kWcq9zaDypBtfGgIH0/BlnQx68vFg7l2jNlG7mGf4dw9AoJM52\nagoICFQOYVesgMCdoUoeDQLcAAAgAElEQVRUnZF2MBI62Az+HbNX+aqN2d5+mAtzQAfDbOqP\ng/YgBW+YCpHgZNZ+qa6BL8DoMr0IPYkwEryhFbjDm+BwuEsiYf16Onc2Rbp2Zd06vaoDGjRg\n/XoCzbagtGlj3Yi4DI+9HINwsvJSAWJTQt/9+e2Ym+2y8j1Pxnac8tnMCc/Vb9VK3L59o0aN\n/IcOpV+/F86cObNs2bLZs2f/8ccfhw8f/vDDD1NTU5OTk3NyckJCLOxjWpQzjUjPJlioujIi\ncc7MKTh58mRycqUN8HRqDj5uUnVA0k4OTzSdOgeU3kj2BZJs93cLCAhUAcKInYDAvYRd+Sgy\ni+tgiqU532h4HtZAHvjDGzADJKACmb2m7DID1KCAIfBAeTqshjFmGTtU8BnowCZHrIGGDTl6\nlGPHuHaNsDC6dLEWaoMHc+kSR46Qlkb79jRuzMKFLFpERgZyOU89pQsPL5g3z6U49UVwMDcd\nbTUuM7/8Yui9iu3bGTCAhQsDTp0alZ6uE4vlffqIvbwA/Pz8AHgaTDsshg2jVy8OHizrvRr4\nlrt7+UW8tqXBd+P8tVotMHz48G+++aae/AbJBxBJqPsgPh1LaaIwhVOzSdqJtgi3MNKOW1e4\ntYOss/rZ1UaTuLgUdZ5tMxYUlN/DUEBAoAwIwk5AoKZxEmZDNPjCI/C2ZRIzW3SwGY6Cs6Wz\nsZFw8DAcr7KxXP4dlkE2ZIKPWdxW1QHdwNUyXS+ggJngV2InzcmFxfAv6CDAXh62pfCuZWcs\nEIvp3p3u3R3ewM3trwEDtkA6tIOX33nH+513SEqiTh1EIm1urmrSJBITAYKCmDSJ1avL3Pcy\nIJXGjhsXWrzr9fffWbkya/Fi19WrpZcuUa8eTz89pUePxJkz2x040Fss1j744D+ffXZ6+fIr\nGzb8oVZ7e3rm9urVMzIy0lHjcWnWkZQc/CzXNKo1Iqnk/9s777Coji6Mv0sH6QKCgg3sBXvv\n2FFsiUZTNEaFz8SSxNiNiRGNsUZjYk0xttgwltijsbeIJRJRNIBiAZUOu2w53x8Ll7uVBdFF\nOL/nPjx7556ZOzN77+zLlDMknE7Y6r7uUL63vT/+2H99deNKtUWduLXGo6nmZANpIqKXI/Uf\n2HmhUh9cmYT0vBSEZRlaZN3PFXZONdF6Ay6OgUwnr2LKVTN2tVggJZSyYhuAZpjXBBZ2xUAy\nki1g4QL21VQ83MCN07an3SzdeqKnu+Ff91LKeaBTnve7+8BV4BRw1PCsCRnQU3OdbFPN7Wg9\ngPWi0y36EtkCjDMipES4AcuBDzQDlxZG1WUCLYB/jdoogHua+fkDOARkAS2AEYA1oAAeA976\nGrGP1dtIAAB2ASuB80A1b28AUCpzLwjrMNauRYMG2LgRDx+iZk1cuABFgT6ERVhYqFSq/G/H\n2/txbGxVscGTJy55E+QQG4szZ2BrO1OW599wx443Tpx4o1273FMitGlDLVuGL1gwPysrC0Dl\nypXjRZ2KZ+/gQgxaBuSnP3wVutbDuB6wtgSAxDR0mEN21ghujPKOOB2NiMsa8/g+7IZetTWH\n5qOXo3xLVB2We5r2Lw63QU7eRMWYtTAFB5Gzab+BqNAZT88iJxluTfDPHMT9pmHs3gwVOpuU\nbNHIjMWVT5GwHyoZnOsgMBx+A17i7RimJCEhooKtSjyhoaEzZ8708yuKNy+pVJqRkeHk5GRr\nW+hZUEdxdAImRCEKQFM0XYEVrTUcTxQMgf7BP/GI94d/bYM+YE0lJSXF2dnZwpQ5RCUSOeTD\nMXxLnvhwg9sqrBqMwm8mWmLIzs6WSCR2dqZPEm8C6K7q3AC8a8B+OjBfJ3A28BhIAgKBjwB3\nQArczduRTNdBSR0gSidQg9TUVLlcXr58eYlEApwCVua5OxkLdDShXALTgK9NMIsDBKEwUtML\ndAOgLfAzIAXsgDBgbp5TOAAnAF3FECTs2KHeK9bF5R/gFACgY56zmBwgEag0fLhEqwPP3h4d\nO+LsWchkaNqUoqIyU1Lyt4IoX/7Zs2f546OtWp0/f95wX6JpfPEF/PwUZ86k+vraBQdLBw1q\n9OBBvq/Eqp7YNBZtauZlbwSkcvi6o1EVZMpw7g6kmrvuSSR4rx0+DUYNbzx4DlsrfeO5Pj3R\n+UDu50Ot8OyCjoVRKgTBqz2e/w0rR1Tqg6pDNUbt5am4MBrx23NPvTqi9c9i7y3F3HApMnCg\nSX4Xo5pOf6Bir+JJ3wAqler58+c2NjbOzs4FW5vA+vXrXV1dBw16tT4Imdcf7rErOpGIDEFI\ndt5c8r/xdw/0uIIrAQgwHlEgFrHv4J0zufu7owd6bMAGL3gZj1WK+RJfbhF1KSUj+X283wAN\n6qCQM8xfV6T6VB2Ac4aF3TZ9gf8CQgeJHJgCLMtbkaDXxbEJjkY0aG/UN54uZ4GFwC2gkmkb\njnUFHgOHAXcgTWdvjxvAjbzPUmAZkCwaXz4APRwHsgH1Hgxkbz8W2Cy6+jYA4DdAATgvXz4r\nJubTs2dzdYmjI1avxrBhAKBQwMrq71275g8btlkmy/0/cNiwzStWjBPSsrMraEMIE/jySxBZ\nAeUBLFhQbtasE5cvTz5y5E5ODho1crx06Vy7OWjohyoeuJuYK+MePMcDAwtsJ/bEkrwuw4AK\n0Pu/PMmegSgjI8PJVm6SqrO0hTKv19GrA1Jv4kme5+i4LUjYg7Zb842tXdBuG7LuI/0OHCrD\nydQWUrTFS2G4s1pb1QGInPSyhR3DlBBY2BWdL/FltuYKwXSkhyP8Jz17TOlBAcUQDLkoWsZ4\nCIeGY/gB/b9MZYLVWK0VkoWsX/DL1yb18ZQCLAFLQKkTbqPHNhfdbS20AmcB34hOH+jcopy+\nHXi1SZGkpFmklUfhp+5jNyCMgt0yYGMNCL1MgQABLfNOjZRd4Bdgat6mZ3r3cFMBOWphJ5Gs\ntbHZrHlVvLlImovLZ6dPpx0+3OLaNbmHB/XqVcPHJ3dhrZUVgHsDB+66di1w/foP7t2rHhAQ\nM3Pm3GvXAk+e7KC2KVeuoEUDJiDWXjIZ5szx9/HZmZkJAP/9hwEDvoqI2HgtfuS1+MrAPWCe\ngf1CAMDZHvOGQCq323Vp4O1HNX3dH7Sp+VPdShrP2LMMhK2OPfCGU2ZmZuM6PldmmpBF/1Hw\nH43MODj54/psSE9qXI37DX4DUVmzr93BDw6iQRVZEp5HQmKJ8s0A4NkF3N8O6RO41EVAGJ78\niX++Quq/sPVA1bfQ4ItC7EuW+o++wH9BCnaMzJQF+CkvOv/qmycUVdCQlsAZnLmo45ziIA5G\nIaruS9zVHhdx8U/8KYe8NVp3RdeXd6PCooDiKXT8mgIP8OASLqUhrSEaehZiLtfriDXQVZ8j\nOiM9DQ2AP3UCG+Z9SAeW6lxVArWAGICAZsASGO0QjUTk//C/C84XAFRCpYVYOBRDjZZCjBwI\nNcFsDNAReADUAfYC34suGXR9osm/ecKupb6rdZA3BVYi2azPQAOJZG6PHtSjhxDwDfBZ3mcf\nALVqRX/zzWTh8okTnfbt63P+fCsnp/Tevf/IyHD866/c4Wl7+2w3t+SHDw04VjaNnBzE5a1Y\nePoUERGzLC1nKJW5A5fW1u/Y2oZmZHwGNAPSgWnARiFu3UqIf1qz54KD/yXlLlZoWv3E6c9j\n7PLWxihVGLAEXi5Jv4yCjytuPnwUl4QqovdMoURkLJr754fEJFp7dJvs6lYZboEA8Ej3iQUe\nHtQWdmL+XYjrs6HMBgAb13LlO1s8isi/GvU15Hnb3Ekf49YyJF9HlyOQmDZWa61vJNTakVUd\nU0bgB73ouOnb5twOduEIf4RHdVH3PbznCEddGzXxBjZ0j0f8yxN2EzBhOZYLp/3Rfwd2WIod\n4ZsPK1hVRmXdatmHfZuwCYANbD7Fp+EIl5TmTSdXAS003c6FAj0MmuNroIPmbq0VgUl5n+MM\nCKMRwARAJZqapp9HeNQTPROR6/wsAQnDMMwVrr2MaU0x0UCBjtOqA+F5wktRSB94AsJKiyHA\nOh2xK9741RTnxVqjlZOBIEDtE6Q1EAhoeLeTSGz79t3bt+9e9em+fSvmz4+OiGifnOz25ps7\n+veP6N37D2HoFoC//927d/OFkrU15Jqz4gpEUHUA5PIqCsWBvCFLF2Cdnd1NqdQK6Ac4Z+Uc\nf/v76YKqA/D3PauQxVj2LupWAoBvDyGkKSYF514N8MbwVTiQr1rx/VF8/Cvea49uDWBjhbO3\nseqYfMClaXXr1o2LiwsICPisslzPC6kyXKT7uxApukFOirVY1QH5qk7gyZ94EGHqjreVByN6\nuU7gEJPiMszrDws7bS7gwmVcdoRjF3Tx09lbPQc5e7DnNm77wncgBl6A9mSUczh3ErmjEvMw\n7wROGJpyp5u48fAXZzu2i1UdgN3Y/Q2+mWZwf/dXzXRMD8vfrgoAJJCk5m17lYOc+ZjvDe/x\nGG+O3L0aqgL/AsuBSMAN6C8ax9RLc+APYDIQCVgBXYHFojWqHgZiVcibcFYAy7E8UUeZzcRM\no8IuGZgN7ASeATUN2HQF0gECOgFTkb+iPM0EB8gSHeEVINot1wLYA8wHIoDnQCPgc829dOsA\n+obqCiAccAWygNbABuBtUSKNgY3AMeAiUA7o7egYEh6uDA+/DdwFGgPjbtxosHz5+OjoWr6+\nD0aM+Lldu9ObNx87daqTRIIuXWBnh/feQ2oqANjbZzs5pScmFm6iLZFYWdlKpacEyX7zwVil\nSus/t6ZHbtyqNxnlHaFUwb8CLs/NvyYBDl5Dx68woz+qerhkyTJWHFaqCD+fxM+i4dYtW7YI\nC+/afGHVroZOnjzbGMxu9DKDl4zwPNJUYefZFoFzcU00ouzeDE0WF+WmDPMawqti81fFWtha\nDMXQndipDreH/WIsHoqhZ3E2GcmN0MgOdr3Q6w5yp+V6wrMRGh3BESEpK1gpoOEpoTVan8VZ\n4TQNaV/j6yM4Ioe8BVpcwIXrmrttdkO3wzhchFKoMb64bCAGRiBCK7A+6t/In4peDMQh7nf8\nnoSkuqj7Bt6w1nSHlorU+Zh/DMcUULRF25mY6Q0NP/XhCJ+HeVnIAuAJzyTtLRPgBz9DnZ0l\nkMKvitVDClIu4mIGMpqiaRVUMWAlAyz1/avWB9ivGeIJRBnWfBrofWYc4JCp7cpOQAF0Agr0\nt/uPgd3MVIAXoOv/rDkQC2QDLYF3gWnAo7xLFYE9QFOdKPpRKm9YWLSUSMTyUVcpGqcOcAq4\nDsQC1YF2MNbnrQSqQ/uJtQNuAtWF8ydPsHcvHj5E06aPnz6dOmLEz4XJT2GJBxoBzkBLQDkp\neP/CYRoLPgKn4Xr8aOBzwBeQAi1gtImo74tLcyV2vgR3QA48hpQC7fpegoVeV4jAnurIMGUN\njSaN5qPu1ELYJ1/Dwz+Qk4zyzeA3CJKXPi7Bq2KZEgL32OXzFb4SVB2AbGRPxMTpmJ6SN3bj\nAQ/xJLAkJN3AjYM4GIlIS1gmIWkhFmqleQ7nEpBQCZUASCFth3aCirqGa25wa4zGkXkLIYMQ\ntAHF6ikVAJCJzBjEeMAjRd8glN7AIrMJm0ZjtLCmZA7mHMOxinlec7OQ1RqthbmJV3F1J3Ze\nxdUKqCCkMAMzxqnGXUi74Gnluchx0SaNie0A8AAPVFBZlN7d8C7j8pf4MhKR7nDvh361UGsi\nJj7DMwA2sAlD2DIs0zcYbchZz3qgj8jFiRew2URVB0DvagkPY9G36lN1WsrpC8N71FoA04FP\nNQMrA4egMfNhIBAB/AdUAwbC8IQHfdTNytpZrtyMvAXITYHBwDzkdQxrruTQy7/ATM3hXSNY\nAr8AvTSHyxeIVR2AChUwapT6oyewh+j9OXM+/++/ag4OWe3anT58uLtp9zKRysAdCwtnlcoa\ngJXlFM3lNQhpMup6/Jq8MzvgTeAG0A3oClgDO7W+4jtJuFyF2nXKPVXKsfSb+CCfyJMnT6an\npzdu3DgkJOTevXsrV66MiYnx9fX9prurpkNlE7C0Q6WQAmyyHiDlGqyc4d4UVg5wC8ydAsgw\nZQwWdvn8iB+1QnKQkyOaoqQ7tf8xHqcgZSqmApivx50YAKQjd2PHJVii1TeWjOSe6Lke6+MQ\n5w//BtDZ1fLFUEI5EzOXYIm6FBX1bUtQT99PrBxya/0bDxjjP/wXilDxSuFbuDUKo/5Arhv9\nBVigteLkMR5PxVStdcSOcGysaGxjYeOrzzeHK1wboVEMYiqjcihCP8JHWlm9gis7sCMJSfVR\n/wN8YGSaoxoppCdw4gEe1ECN9mhvXsl4Duc6o7MMMgAJSLiBGxawUEGlvpqDnOVYXhVVP8bH\nQhQppKux+hzOOcChG7q9hbc0ZV8F4AJwFIgCKgI9UBhP2u/i3XVYpxU4HMMNx9B21yIFvgb5\nQlIblABcReAYvFcNkEMOQN9j9jGQCizMG5NtDqyD9nxWJ0C0OSligC/yRkJ7ANNFO23oQaFo\nA1wBUgFJnuUI4HfgIVAXkABvGokOANhnsrAD0An4B/gOiAZ8geFAW8PGlsDsESMmjhjxc3q6\nU7lymRYWqqVLv54+fYo0Txk2bIjr1w0nYBLlVbnPFE5EDQC+2XVp4Oazwx6neNetFLXj4hua\nxp8CDYD+eadeWsLuq68gqDoAltawtU9u27a1QpF7j9q1a8fGxkrzCvD4MiLUz681QIBed9A2\nbshJzj9ttAAudZGVAFUOHKtq+0AhFa58gtsrQQoAsK+IluvYuQlTdqFSwZgxY+Lj44sWNzs7\nOykpSSqV2pANCIU9VtJKdTr7aJ/uVWdylpJUbdCLeuka+JKvODPn6XxX6upKrlWoyv/of0mU\nVKiyJCcnK5VK4fQL+kLrdpZkKT61I7tLdEmcwkE62ISaWJGVC7kMo2EP6IHeG2VQhm7gUlqq\nW0AJSZ7SU7VBF+qia+BP/lrpKJXKpKSk1NTU23S7HJUzXv8f0UfiuEtoifhqJap0j+4ZqbHL\ndLk6VRfsm1NzQ0UuGllZWdnZ2abbN6JGBT5y1aiaYJ9KqXWojvhqf+qvIlUxFmEBLbAlWyH9\nEArJoRzD5jOJID4+1Ml/LarVgTrYkI0N2XSkjn/T3/rSyST6myhW7z2UpDxLZzfRpnN0TknR\nRE6aN21CeS+dLgqFIiUlpaBCRxA1IrIi8iCqqlUiIhB5FJTCi6AiWkDknHevHkR34+Lo119p\nzRq6cYPkclqxgurWVdnbqxo2VH37LdWsWcBDU748OTkRQDY25O2tfbVbg8OFafW0Zyg+fqxR\nORdM8IL3/TQon4EIpIL8MeaG4ta2ITk7qyg228v3N6MHe0ieTre+pQuj6eoMen6VnpygvbVp\nE2gTKKISxW3XqLCohbmXhGObE6XHvMzvSA9Cw1VcCa5bt27Hjh3FlRpTdmBhly/s6lG9Igi7\nY3RMnY6KVN2pu9bVH+gH4UbBFKwbvQpVEQwu0kU7shNfDaTAbCqELHiY8nC6aro/+Zejcs2p\nuVZq6iOAAizIAoQG1OAwHRZHP0bHtIxrU22xhpOT/Bv6xod8QHAn9yk0JZMyhauzabbeKrpL\nd9UGXamr7tWaVFOrFOL28Xf6vQJVEIzVOdc6vqfvp9P0L+nLDbRBt8idqJOh6sqgDLGqUx+d\nqbPpFU5EsRQ7gkbUolqNqNEkmhRHcR/Tx37kZ0u2zan5DtmOAoXdM3q2ntbPoTkbaaMpj5wN\n2Qhx/0f/0zVYT+uN3zGLsi7T5Ut0Sfz1GSGaohdnLf484/O/VH/pXpWT/Cf6KYzCPqVPz9MK\n8W/8M4JlQcVxJucYKsRv8D2614yaCdFPk6s+4bVYM9JuojZEHkQNlcqFKSkm/r+kICKir/Sl\nH2x6houKgiiGyKAGFRouIsrOphUrng8fHj927P3du7MCA7Vr+dixx0pl+IMHE3JyZtWoISt0\nM6d9jAGGAMeAO8BBuRwymc2aNaPHjFn92WffDB5cwFznxo2RlaWtBT09czuSLS0tP/zwQ5lM\nll/UtNv0m6O2dHtyIt8gopL21U2gyKkFVHDiaYr6hv5dSs+vvtg3lQsLO6aEwMIuv33cTtsL\n2751o25Kyu8hS6GU8TS+PJWXkKQG1fiRfiSi63R9C205Ske/oW90UxhFo4TobaiNrsFSWmo8\n//tp/zSa9jl9/if92TOnZ4F5nkbTMikzRd8PRiAF6tovokWCwQyaoXV1CA1ZTavfp/dH0+gJ\nNEE3ugu5CB08X9PXugZjaew1uraP9t2m22ozrfYxndKP0bEIithCW4rwGyQhyTN6JhQhmqL7\nUT8XcnEkR0PdY9EUbeLDE0dxbuQmjqvbxbg1ZysRPaEncpLrpnCUjpan8oUqkVgKV6EqugYD\naEAsxV6hK4Ioz6CMa3RN3QG8mTZ7kqfa0p3cf6afTSlpSkpKUlKSSqXdF5hBGU2oifjuEdRU\n+MG+YlqJ3qa3TaxwBSlaUAtx3Od6VBeIBooirde6KpO9o5VsDuWcpbO7aNdNuqlzzwyiWpop\nOBLdMjHDLw+RsFMRTSCyzsue56NH+4cPJ1dXsrKiRo3o1KnzRC5C/rt3P1Lot0j7kItPz52r\nVrfuTVHIBwDatMH8+fj+e/TtqxZs1kAI8AkweO9eibg+09NRU2fxdGho6CeffNKzZ8933303\nbntPPbrtaN4/YColbZLoMThj+KFSKen0UE0VOLmA6lYp6b9f6fxIOvMO3VlFSj2d1izsmBIC\nCzuNf3xX02p3cle3TvWpvtZvNghBFGRP9iBYkdV79J6hoVL18GsmZQ6kgUJcP/JrQA3EqVWh\nKmLNoXcseBgNM5RzOcn7UJ/Ctsnf0rd6U1OSUmugVn28Q7m/gk/oiV4D8aFbYytohXALGcm0\nfpX9yE/c+9KH+jylp4bax7N0tmg/Q/GU+2w8okde5FWg/V+kp19K4D7d/5w+f5fenUEzelPv\nAlNzVjmrpZsN2bxH7yVSopDUc3ou7o808VhLa4UU9EZ3JVf1B1uynUpTP6aPrclaHdKSWorH\nVdXHn/SnkfKqMSTsxtN43Qwco3CiyUTvP6Q5ppSoATUQp5lDOb/Sr5/RZ1/T11pKS/cZeKJf\n2A3Ji5ElGtMUH+eFNCMpUjycHUIhqaT17D2Jo95PyTmVHGKpiYKuFVhdrwBRw7VUp3QORDeJ\nSCYjIgVRgPjq0aNB4hqsUiXW+NdjZVXA91elyj3NkMVz5+bfLi0NdnbVgSjB4O5dO6nUdtmy\nCYMH/zZs2KaRIzsa7+E7PlNHtG3CgVnugwYNatmy5dChQ2W/eekRdlena9SXNImiFtLFMPon\nnK7N0mMfv9NgXauU9KemuDzQhBRZWlYs7JgSAgs7DWFHRApSRFN0AiUQ0Tk6J7T4tmQ7g2ao\nSCUn+T26JzU8iUdAd5jMkzy/oq/6UJ+u1PVz+lzr98OZnHWbTXGXnhZ6O8CMH27kpi6aXpzI\nSTdKU2raiBpVpaodqIMpt2hBLdQK1Zu8V9AKrfleUpIuokU9qWcQBc2kmQ2poVb0ftTPUPso\nI5kv+Ra2yN7kLfSqfkgfFmgvIck79E4LatGduq+klVrdbH/Sn+I+OQlJCpufDtRBkTvGR1tp\na4H2wRRcmSqrP9uR3Zf0pTg/falvYTOge/SiXgYf4jwMCTs/8tNN8C16SzAIoZACM9CW2gr2\nSZRUl+oKl2zIZjktF67uoB1acX/VL+x+zIsRqe8qKC/NNEqrRtW00tTqQRxOw8VXm1JTvXNM\nXzGihquavgJOzDO8pnv1p59GuLs/U5dnzJjVul+Jr+/9X399PGUKLVpEFy+Sj08hnqeOHf9I\nSvIIDV1VsWKCg0Nmu3anfHwixQanTwc2bHhNFFLAjnbbJ2iLsMVvaxh80ltHpW1zovS7+ZX1\n9DxtdxMZWOgRdn/1N1jX0d/pG+rV7uRjYceUEFjYaQs7LRSkuEk3T9PpZEouVLJZlKXbNQLD\nHWZE9A69o2v/O/1uyF5rCKzAw4u8DtABI3l+n95/cZXQk3rKSS7uy8yirOt0XdxTpeYQHdKb\nQrQy2lD7eJyOF1ZXbaWtQvS21LZAe6FzS330o35yksdQzBW6kkzJFanii1fRbtqtzs/39L1e\ng5E0MoRCRtAItaWUpJfp8nE6/pyeE9FjeryQFo6lsQtowSk65UiOL5if2lTbyFOhxpCwE3q4\nxUdf6isYJFJiO2onXNLt04XmS/Emval11Y7srlLuLKjLdFnrqichXs8EOCGfUQaE3Wr15c20\nWTc/FmTxhJ6oDfROAJhAEwqsscKgIvqRKIioLtEbRBev0JU36I3aVLsttV1Gy/QO4osaLht9\nBXwjz/Cc3hrIyrK/fLnplSuNFQrL0NBVWiU8dKg7iVYd3b5NISFUrhzZ2FCdOgU8T4sWfdqk\nyd9GDJo1u6QZshqQACOAQ0Ck5oZyANC7kYaiil8OW2sArsD7wOfAMAuJ3ZJ3JPINuQb3V+D7\nWSFRUVGLFi2aPXv2nt930e/+epSZ1nGkvcHv58+eFAG6C8oAZYHiQHtAe+toWbGwY0oI7O6k\nACxhWbQNvp7hmUzffuQJSDAUZSmWnsO5u7grhIzBmBBoe29KQco93PODX2q+5y2DNEfzpVh6\nAze84BWEIBejri6WYMllXH5Bf8XZyLaCldrVmRLKWZi1BEvUVRGEoDVYUz3Pg5chP8P3Jffd\n83eI0qATOt3CrbVYexd3K6PyaZw+hVNaNo3Q6AmePMXTeqg3C7OaoMl4jP8X/1ZAhWx9uxo4\nwzkNaQAsYFEBFR7le74FgN/xe1VUVX9rDnDIMrzbuuncxM1+6Aegdu72phpYwnIBFoh9xdnC\ntmmeA95TOBWCEMH7oBOclmLpARw4j/N2sHOC0zXN3a5MQa8fHBNpjMbHcEwrsEnu7lsA4AnP\nkzh5Fmdv4VZFVGyP9iMwQuwwciAGfoSP1J9lkO3Gbq3UpJDuxM5ABKpTDkKQ+I5JwIfoOBNO\ndriqhJ0lghtiie5TYgkAACAASURBVMgdRi0gAIgRJ0hkJ5F0U39+gAe6hVJB9RAPveAFQDc/\nACIQsQxF2j5BP+OAlXmfo05hRwfRtTM4cwZntmGb4eiVtQoIAKia96EuYKfpRQ8A7O2zmzb9\nW/35++/HtmhxcfPmYQ8fVmzQ4Mbkyd80bZoiSgE1auD330EEpRJPn6J6dWQb3h8kMrLxlStN\nDF4GLl9uphkwELBFvg8dT2AsAKApUB94/MfVozO3W7o6fHji36AchY2z3WqZ/AmwS9hhRUUh\nn2zcu2g/AisjNRuRscjO2WM1/w+FQgGgWXX0/cpIdvJw1mznpU9w+zukRsHOC8oEdBNtv1cZ\n8Ab+0tn3jGFKCOZWlsXDy+uxKzJSkjqQg+7/q+J1srpkUda39O279G4Yhf1BfxDRSTo5mSaP\noTGraNUzejaaRgsrQ73J23hPTHkqH0VRhcp2DuX8Qr+Mo3HTaXqBg2hWZKUbOIkmCanprpOt\nR/WyKHduygE6oDfZW8pbJv7j+zf9rbUM1pM81WPN6iHgC3RBPSfSyPElffmQHp6n86ZMIizw\n8Cf/Am2W0bILdOEsnU2hFN2V1J/RZ4bKKyWp7tBnBaqQRmlqA70LdAo8dpBGr0AKpYRT+BAa\nEkZhh+hQbqCBHrsrdEXrK6hG1Z7Qk/N0fh/ti6M4vQU5QAem0tQpNEWrCzmZkvXmsB7V8yM/\nd3LvRb2O0BGx56Ae1KM21RYbv0/va97tHFE5zc6q/PVAekfDLchC8NGjdxpreSpv6DsqPBe0\n+tJq66uB/bRfK5qo4Vql0yHnRHRHZLvIQLelocOW6JSRHK9aZex50lxIUYRDBdQF/hCFTAPO\nik5/A+5rRikHOAHTgO3AWkAsjNGpTkF9dZtA21woXeQXKfk6bXPJvxqlr5aSKmtVC/fYMSUE\nFnYvS9gR0XSartVkVabKhRrSnUpTxdF1J+Fpuf9wU7n9rvz9U/p0GA2bR/PEKzOKQBiF6ba6\ntmS7glZMoAmLaNFZOquVJT/yE26aTdl6pe0G2qA2kJFMd45dMAUXqn08TsebUlMLsrAm6yAK\nuk7XxVe1fLzpHp2ok7BoV07yogm7iTSxN/UeRINW0So5yS/Qhck0eTgNX0JL2inbaRnbk70w\nHOlKrktoyQgaoR7/LUflZtJMI17iTtJJvRkQfvXjKM6FXIzn1omcBClmR3ZzaW4WZR2kg+tp\n/Sk6FUuxWv8wfEqfkqaw2027u1JXf/IPoqCdtPMsne1EndTlGkpDt9N2sROZ0TTaqN87DVSk\nKnAapQM53KAb9+jeMTr2H/2n9yn9jX7TTPg+0XSiAUTjlMoLySnJO2jHeBo/gSZsoS21qJZW\n9JE0Uog5i2bppt+duptYIoHLdHkzbf6L/tKpjcViuZBkoNRTSdt5h2bDNYvINi8RP9KecaEe\n6q1HZE1UjaiJPjHXl2gQUWui0WTCqvAzZ2j4cGrXUTF6NF29SsePU9u2ZGdH5ctT/foKcdYl\nEtUbb2wv5Ev1QPNUrnn6RPNUCfhqSr2JgAQYDPwK/O7p/JkwSqtx7K6ctxKiKSWd0yjegSYa\nlo/1CTuVn1adsLBjSggs7F6isMuhHPFs/UAKjKRI06Mfp+OmtIF1qI4lWVqTdRfqcirtlNhB\n8QsSQRG6twuhELHNTbrZj/qVp/I+5PMOvSOsPyWiGIrRm+FZNEuwiaboptRU/HuZSIlFaB+z\nKEtGMq3AeIrXm4HhNHwCTRhLY7fSVrG3GiLqSB0L9wNEGE/jjWQsOjs6QBUgGOvtPjxEh2Qk\ni6M4YVGFIfbTfr15EM8j3Et7PchDuBREQc2puXDqQz7H6fhDeriTdm6n7ffp/gW6UJWqCgZ6\n58Adp+OCsNNyAQ3CAlpAeV2kj+iR4EtFOKbRNNO/SlMWlHSlroK92qui1mFkLblMIesq1/Cn\n2JE6iqerDqWh4rURKZQirh/1l3itMAtjkyhJ7Jq7NtUWpgwSkdaa1ucGijyTZmolq9NwJREd\nJbpIBXu+TCDy0JQplYmem16iTMqcQlPUj4oXeYVTuFqtqvtzjx3TyHq9ev9kZdlPmLDM2joH\nIIlE1a/fbje354V7zUSHpYVCJ/Co5ukI4BdxyOyBLbRU3Ymvq+3fvz/884kLvpp66lRu92Ry\ncnJ0dHROWry2BHyot1+T59gxJRQWdi9R2KlJpMQTdOIm3SzwZ1sLvW7hdI9VtEpKUrWs0dp5\n4sXRWs9RgSrcp/smxk2hFL3+hL+j78RmSlJepssRFHGDbuSGFFP7eI/u6a2xcAo3FCWKogpc\ni+BKrvWoni3Z1qSaS2iJ3ontAllZWanZqZto00ya+R19p3dcTyxTjGNIqv5L/4rNkil5F+1a\nQ2su0AUiUpHqGB1bQSt20k5h0FZNGqXp9YSndUyiSWph91j1WHdJkDVZC0utF9Ei3eiO5Gi8\nlohIStJ4ilfr7I20MYACQHAgB72rbl3JVYgo+HYRH/3J4ArHBcoFuvZLaMk1unaADsTq2+si\njuKG0bDyVL4cletCXS7SRRWprtCV3bRbU6Llkk3Zc2luM2rmT/6DaFBn6qx1uwAKEGnHq1qK\noZm+r0DXBc+LNFw3af9R8oklyX9kcZAqxxgdeNXlXXpX9wkRG0yalH+tffuT6nJJpbZRUXXS\n0x2JcPdu9bffvlO1Kvn704ABhRN2zf0v6gQqNU93aZ4+trSweLtt3bfbft+9waGhbda+37Gl\nRe4kzNz9A4cNG9ajRw/159p+9trC7pJeYac9ZYKFHVNCYGH30oVdkRlFo0xp6IQlllQkYfcP\n/fMpfTqYBk+jabq/aipSbaWtw2hYH+ozm2Y/L8y/9UQ0hIZo5dad3B/SQ+Oxiqt9VJJS77ie\ncTd1sRQbSqHNqXk36jaVpupuZTGH5pieB60txbTc+Ak/86YnOIkmaUUPozDTo2vxG/1myjP2\nEX2kFnb7VHr2zQNhF+1SJziRJuo10F0TLZBIiW/T2+r5mo7k+AV9oVaBGZShJOVQGqqbmg/5\nCNH17lM3l+Yaul0rVStd+3bUzvRKi6VYsS/xjtRRvA2dkpS68yZ1D815jdPEiuEa2ZTTfOo+\npA91s1HkhusO3dFybORJngW+lUQUR3F36M4VuqJbHAuymEST+lG/d+idLbRFRao//6SPP6YR\nI2j9+sdEFvqE0Ukh5dBQqenCbkSHn/o3izBqo7W1xnEgGBDfIhxoChwDsoBUYBtgAwQDG4AD\nFpJFD1daagi7zbqddo1JZ9cWFnZMCYGFXckVdt/RdwW2ctWomnjYqLDCbhNtEntFdiAHYYe0\nYuEZPRN7GPEkT+P+VtQUY/uoO3Y5nIYXKoWf6Wfxr+C79G6BnU9itIRdf+qv+yUa2fRMlxzK\nWUAL1ILVh3y+oq9McaloiOW03JQf0w20QS3sDqoO6jXYQ3vUCertsXMiJ0OVpiBFJ+qkZT+D\nZggGet2RhFKoYBBJkVoD3DWpZjqlGypyA1UD3QQbU2MTa0xBilakLQ07UkfBX6OJ+6PouD3a\nTfQmURui0US34il+Ak3oTJ0H0+DttF03G/QCDZfuv1so6N+D43RcmIlY4CROEIbSUM0EJuqo\nul4ilzT0/Hny5s2qfv2oZUsaOZJCQ7VTtLHJ/9yl3rGUtS6hQatsrGQAOdhkVnJ7YDRDkUCi\nZkg/IEN0+iswX2zQv9lGtaR7tNI7Z4M1bULaH11lsnVJSX0SE7tlZy8hfdNGWdgxJQQWdiVX\n2ElJqrvHl3qISn1UpaqX6JI4SqGEXSIl6nokrkgVX0Qo6KIi1XE6voJWbKNtJi4cKd728Syd\nDaEQf/JvQ21W0srCDogT0RN6sp22r6f1wmCx6WgJuyN0RPd3R2tRqokUy9e0l/YW+COt9qis\nFnbJqmTdFTyO5CisIS3sHDu9K6OtyVr8qLxNb4uv1qW6WhviXaSLXamrMzl7k/cIGmG88+ld\nlfYwIjRXSxjnDJ3RW0t/099qg3E0zhRhJ0jhIlPkhkt3sQgIraiVIfvbdFuv63LjxzbaJkpD\nSjSVyIEIRFZEI0lzXZdWw5WTQ+PH5+940aIFnT9PU6dSs2YUGEgfjpXn7GlGm5CzwTp+uZ/i\nV8tLXzWzszGyAa5SJ+SQ5qm2Gz9gRk2fiS4OSQBZWebUrbTFt2JND49cD0ROTk4rVqwgHVjY\nMSUEFnYlV9gR0RN6MopGeZKnDdm0ptZH6IiSlEfp6EpauZf2Cn5DBAol7AztjXuWzhZ3OQpH\nsbePZkRL2BHRclou+Fi2I7t5NM9ceSMiGcnEW7qpjxAK6UpdPcijBtWYSlPV0/KExRO6XWi/\n0C/iNE/SSfGq2FE0ysiq2KW0VO9DeJkui80iKCKUQt+j91bSyhdUtHcVd11UGn1O7uQuXvRj\nHEOD18KMiI/p4wJFTyAFvrguL3LDpdexuZGJnnrXHRd46DidISIFUSzpLHIiAw3Xs2d0+jTF\nxJCeJi39Hh1umz9Uejz48tnkPn3I25tq1qRPPqFWrYzn77Hm6VnN0yxgkmbIJaA6sBFIAJKA\nCKDOd999N27c5716TZ469av79+8TkVKpvHv37tOnTwv7jRiChR1TNNhBcYnGC15rsXYt1hJI\nkudzNQhBQQh68cT1eus1Es4UC+MwbgiGXMRFJZQt0MIHPmbMjA1sdmDHKIw6iqMALGDxAT5Y\nhmUOcDAUZSiG1kKtH/BDDGKqo3oYwpqjudigPdpHISoSkUlICkRgZVQ2kgFDnqjLo7z4tD/6\n90f/QhTMMFVQ5UDmgTmOc07hlASSDuiwEAv94GdidEOWQjG7o/tSLNW6WgEVnuCJ+nNbtP0F\nv9jCtkjZLwYGYuAVXNENNGR/B3d0AyWQEEj3s4Accp1IlkAV0/Pp7o62bQ1cc6yGbqeQchNZ\ncXCqAaeaTYG9e/OvZ2Rg/nzs24eUFAQG4sgRSDU8NGv5aa+nefoI+FwzZD1wAvlffX8g46OP\n7IEPARw4oFy8+KfJkx+uX//f48cVLS3TOnbMWbt2SvXq1U0vLMMUIyzsXg8k+Z70i41maKYb\naAObRmhU7PdixHjBqw/6mDsXuVRBlSM4ch/3H+BBLdQypLTENEGTtVhrxMAWtq3QypS790Zv\nD3g8xVNxYHu0ryra9qDYqausewAH1FqksG9WS7Rsi7ZncEYc2AVdhLemJ3qOxMgf8aNw1Q1u\np3HaHvbRiPaFbw3UeBmvs+lMxuTjOC7evWMQBoUhzJC9Z94GD2Jqo3YoQmMRWwM1NmOzVoUA\naI3WxZRfQ0jgWh+u9fVec3REeDjCw3NPV69GmEb57DTNnTVPvQBHzZBO0BD0T4DKIjfIlnK5\nT3h4gFoOKpX4809Zq1Zf3737iZOTUyEKxDDFhIW5M8CYjTqoMx7jtQLDEW7KTztTyvCDX2u0\nfvVfvQc8fsWvbnATQmqh1q/49RXcWgJJEQSWBSy2YEsH0d4GQQjaiI3ipNZh3W/4bQiGdEf3\nqZh6C7cCEFAJlbqgS03UNK+qA2AN6yM4sg3bxmHcREzcgz07sMNIrt7H+7qBYzBmAiYsxdKx\nGPs9vreHvfhqC7QYjdHFn/WiEhqKffvQtSv8/NCuHX78ER00NqdAFY2eREdod0A20Dy9qbW5\nBZACdBKd2iYlTZk16/cXzDbDFA3usSvTLMZif/ivxdpYxNZEzYmY+A7eMXemmLJFT/S8jdt7\nsCcBCXVQpx/6WcPa3Jkyhh/8TuDETdz8D/9VR/V62gN5kEAyGIMHY7BZsmcKEkjexJtv4k1T\njLuj+zzM+xJfCptfj8RI8f+EDdHwIi7OxuzLuOwEpz7oMx3TS9qXGByM4OD80+HDsX07Tp+G\njQ2CgtCtG1auxJYtSExE/fpITFRevCj+cfTWTExrGF0BPR3wdkeOeOgEMsyrgIVdmcYKVuMx\nXrffjmFeJR7wGImR5s5FIZBAUh/160P/OGDpYxqmDcbgEziRg5zWaK07W6M+6u/ETrPkrWhY\nWGDIEAwZkh8ycSImTsz9/OiRVdeuiIrKPbWxccvJEcf21UzMSmcwV015fYEM89JhYccwDMMU\ngD/8/eFv7ly8Inx8cPUqdu/GjRvw9kafPpKxY7F/v3C9iqXlM6VSrNuSAC+tRDp1qvBKMssw\n2rCwYxiGYRgNrK3x5pt4M2+weu9ebNuGY8cgl6NtW9Su7dK3b3pKSu7aiPLlLZ8904ju5pYW\nHm5sPTjDvDzMI+wyMjLWrFlz/fp1uVxeq1atsLAwLy/tf3dMsWEYhmGYl41EojV0a5WQ4HTo\nEOLjUbMmunUrv2EDTZokS062k0jQsmXmTz85u7qaMb9MmcY8q2KXLVuWmJg4e/bshQsXOjg4\nzJkzR6VSFcGGYRiGYV49Dg4YMAATJqBXL1hZYeRIydOnNjduPE9ISD93rlzt2ubOH1OGMYOw\ne/r06aVLl8aMGVOtWrWKFSuGhYUlJCTcuHGjsDYMwzAMU3Lw9laVK6ftq5lhXjFmEHZ37tyx\ntrauVq2a+tTR0dHX1zc6OrqwNgzDMAzDMIwYM8yxS0tLc3Jykkjy/WG6uLikpqYWyubhw4fn\nz58XTmUymUwmk2ruGmMicrlc/Zfotf9PS6VSyWQycb29jqi/CJVKVbQvtEShUCjMnYXiQT0R\nQiqVvu5Pl0qlKh2PFjdcJY1ib7gUCgVPQGKKgHkWT5jyAhu3iY6OnjdvnnDq7++flZWVkZFR\n5CyVgoZeTWZmprmzUDwoFIoX+UJLFDKZzNxZKB5KzdNVah4tbrhKGsXYcOXk5CiVymJJiilT\nmEHYubq6pqWlEZEg3VJTU93c3AplU6tWrenTpwune/bscXBwcHTU2uDPJORyuUwms7Ozs7J6\n7Z2/ZGVl2dvbl4J/fDMzM62srOzs7Aq2Ltmou1WsrUuWF/4ikJ2drVQqy5Ur97o/XerOIXt7\n+4JNSzbccJU0ir3hsrGxsbS0LJakmDKFGVqEGjVqyOXyu3fvBgQEAEhLS7t//36dOnUKZVOx\nYsWBAwcKp4cOHbK1tS3y6ySTyaytrW1tbQs2LdlIpVJbW1sLi9d7C2CVSpWZmWlhYVEKhJ36\nn5NSUBCZTKZUKu3s7F73X1+lUimXy0vBNwJuuEoYxd5wWVlZve51wpgFMzw07u7urVu3Xrly\n5X///ZeQkLB06VJ/f/+6desCOHLkyN69e43bMAzDMAzDMHoxz38D48ePr1KlyhdffDFlyhQb\nG5uZM2equwGuXr168eJF4zYMwzAMwzCMXswzOcPBwWGisN+yiM8++6xAG4ZhGIZhGEYvPH7P\nMAzDMAxTSmBhxzAMwzAMU0pgYccwDMMwDFNKYGHHMAzDM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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**7. Comment on the results of this graph.**"
      ],
      "metadata": {
        "id": "CMJAFrMsmV_T"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### START\n",
        "\n",
        "The ranking of intercepts from highest to lowest is: Black, Native American, White, Hispanic, Other, and Asian. This looks to be the same as the ranking of intercepts. \n",
        "\n",
        "This shows that, above all other groups, the (negative) relationship between incarceration rates and parental income is strongest for Blacks compared to any other racial group. \n",
        "\n",
        "Assuming this relationship were causal, this would suggest that increasing a Black parent's income rank would decrease incarceration rates for their children the most compared to other race/ethnicity groups. \n",
        "\n",
        "Note that interpreting this casually is already a little strange because increasing one parent's income rank means decreasing another's rank. Income rank is a *relative* measure of income, as opposed to total income or percent of the poverty line, which is an *absolute* measure of income. \n",
        "\n",
        "One reason this relationship might not be causal is if there were some other factor--like discrimination--which led to both higher incarceration rates and lower income ranks. We would call this a \"confounding\" variable. \n",
        "\n",
        "#### END "
      ],
      "metadata": {
        "id": "fZFS3Ge8mw5f"
      }
    }
  ]
}