dwhswenson/contact_map

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examples/custom_plotting.ipynb

Summary

Maintainability
Test Coverage
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing contact map plots\n",
    "\n",
    "The main plotting methods use matplotlib. If you're already familiar with matplotlib, you'll have a good background already. If not, what you learn about Contact Map Explorer will transfer to other projects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import mdtraj as md\n",
    "traj = md.load(\"5550217/kras.xtc\", top=\"5550217/kras.pdb\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from contact_map import ContactFrequency\n",
    "traj_contacts = ContactFrequency(traj)\n",
    "frame_contacts = ContactFrequency(traj[0])\n",
    "diff = traj_contacts - frame_contacts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Putting multiple plots in one figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You may want to plot multiple maps in one figure. This can easily be done by using the `plot_axes` method, which acts just like `plot` except that it requires that you give it a Matplotlib `Axes` object to plot into."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make a subplot with 1 row but three columns and a bigger figsize\n",
    "fig, axs = plt.subplots(nrows=1, ncols=3, figsize=(15, 4))\n",
    "\n",
    "# Flatten the axis to a list\n",
    "axs = axs.flatten()\n",
    "\n",
    "# Make a list of the contact objects we want to plot in this case: frame, trajectory, \n",
    "# difference\n",
    "contacts = [frame_contacts, traj_contacts, diff]\n",
    "\n",
    "# Now loop and make the plot\n",
    "for ax, contact in zip(axs, contacts):\n",
    "    contact.residue_contacts.plot_axes(ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Changing the color map\n",
    "\n",
    "You can use any Matplotlib color map, see the [Matplotlib documentation](https://matplotlib.org/stable/tutorials/colors/colormaps.html) for details. In general, the color schemes that you are likely to use with Contact Map Explorer are either \"diverging\" or \"sequential.\" Diverging color maps are useful when looking at contact differences. The default color map is `seismic`, which is a diverging contact map.\n",
    "\n",
    "Contact Map Explorer has some extra tricks to make it so that the same color map works for either contact frequencies or contact differences: if given a diverging map, and if there are no negative values in the data, Contact Map Explorer will only use the upper half of the contact map."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(10, 4))\n",
    "traj_contacts.residue_contacts.plot_axes(ax=axs[0]);\n",
    "diff.residue_contacts.plot_axes(ax=axs[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that you're using the same color map in both, but when there's no negative data, we only use the upper half. We can do the same with any diverging color map; next we'll use the purple-green diverging map `PRGn`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(10, 4))\n",
    "traj_contacts.residue_contacts.plot_axes(ax=axs[0], cmap='PRGn');\n",
    "diff.residue_contacts.plot_axes(ax=axs[1], cmap='PRGn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For most of matplotlib's built-in color maps, Contact Map Explorer knows whether to treat the color map as diverging or sequential. The `\"Blues\"` color map is sequential:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "traj_contacts.residue_contacts.plot(cmap=\"Blues\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "More advanced aspects of color maps, particularly dealing with custom color maps, are discussed in [Advanced matplotlib tricks](advanced_matplotlib.ipynb#Advanced-color-schemes)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Common matplotlib customizations\n",
    "\n",
    "In this section, we'll show several matplotlib tricks that are frequently useful. None of this is specific to Contact Map Explorer; these are all just directly using matplotlib to achieve common goals. Overall, the limits here are the limits of matplotlib -- which is to say not many, but it isn't always obvious how to do it.\n",
    "\n",
    "Be aware that each contact is plotted as a 1-by-1 rectangle with lower limit at the index of the residue. That is to say, a contact between residue 0 on the x-axis and residue 15 on the y-axis is a box between lower-left coordinate (0, 15) and upper-right coordinate (1, 16). Especially important: plotted residue locations are based on residue index. This means:\n",
    "\n",
    "* The first residue plots between 0 and 1. The can cause confusion when thinking about PDB sequences, which start at residue 1.\n",
    "* If there is a gap in residue sequences, this gap does not appear in the plot. For example, if you had a system that only included PDB residue numbers `1, 2, 7, 8`, these would show up on the plot with lower edges at `0, 1, 2, 3`, respectively.\n",
    "* This does not apply to atoms/residues that are not included in the `query` or `haystack` of your system. The plotting is based on the numbering in the topology from the MDTraj trajectory you load into Contact Map Explorer.\n",
    "\n",
    "### A quick conceptual introduction to matplotlib\n",
    "\n",
    "The main objects you may deal with in matplotlib are `Figure`s (`fig`) and `Axes` (`ax`). A `Figure` is the whole plot; this may include multiple \"subplots\" with different contact maps (see examples above). An `Axes` is the rectangular region you're plotting in. The color bar is actually a second `Axes` in our `Figure`.\n",
    "\n",
    "Our main plotting function follows the behavior of other matplotlib plotting functions in returning the `Figure` and the main `Axes`, i.e., the `Axes` object with the contact map. That `Axes` object has many methods that allow you to further customize the plot.\n",
    "\n",
    "Many of those functions can also be accessed through the `matplotlib.pyplot` interface, which unifies the `Figure` and `Axes`. The `pyplot` interface was designed to be easy for beginners to use, but it is much less flexible than directly interacting with the `Figure` and `Axes`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Changing the range of the plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(166.0, 167.0)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = traj_contacts.residue_contacts.plot()\n",
    "ax.set_xlim(0, 166)\n",
    "ax.set_ylim(166, 167)\n",
    "# also available as plt.xlim(0, 166); plt.ylim(166, 167)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Customizing the axes labels and tick marks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's easy to label your axes. By default, we do not label axes because the shift by one (due to PDB counts starting at 1) and the possibility of gaps in the residue sequence could lead to misinterpretation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = traj_contacts.residue_contacts.plot()\n",
    "ax.set_xlabel('Residue Index')\n",
    "ax.set_ylabel('Residue Index');\n",
    "# also available as plt.xlabel; plt.ylabel"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib allows a great deal of customization in how the axes are presented. Here I'll make it so that GTP is labeled as \"GTP\" instead of as a number."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WEFqqg8BfqOoPshfdMKoQiyl0KTC2iyyGx1w32pGDg6V4VT7AYSW+7o7z0eS8hTa6BffORj0VEwmDCFbZSeSjwA7gmxFF8cfAv7v4In8HoKqXicjhwM2ESTTeDdwPvK9a3uyenh5d/5OKAQwNoz4efhiA5SecYF1LRlORINhQIQx4IoeK6PUp9/0jqPn8WZDKh6KqDxFmQorW/VBVfWakdVCarzMPuEVVd6nqC8BmQqVhGPlw7LFw7LGcnrcchpGA1PDJi6yc7X8OfN8tJ2VZmpJ0kIgsEJH1IrL+tdfiAQQMIxseHj2ah0eP5va8BWkRfUEwYuZ0WTZtGuqWMmrm2SDg2bT3ugK7pfzkRcPXFpGlhDlXv+WrEnZL7N9S1TWq2qOqPRMnTkzaxTAMo+MpukXR0KgnETmb0Mk9W4ecHWmyLBlGyzjO+SWOy1mOVlGTIziFcztP4s7ttUFQSsV2kf+eL74YltOnt1Q2gD0yOk/Rndl1KwoRmQNcBpygqr+LbLoL+LaIfJnQmX0wVdLsGUYz6fiRNG++GZZjxtR86LCRUQXgGifP9jLbZw4OMtOnUnWsfe97S9tazXsyuGbe1kIa0g6PvRmYBUwQkX7CAJNLgNGEybkB1qnqQpdR6TbgScIuqQurjXhqFvF+Wj9Td0ZB/hRGc7ki9vs/HgR8oBN/+xQKopyyLIqC8FwUCw64X9JOsWHPeSgIzxYn5+QGZegIRaGq8xOqv1Fh/xVAdwZtMQzDqBEL4ZEjvbG3Ex/zZ8bTT4cLhx46tHN/f1hOnYrRnngL4q0y2z+wc2frhCkY7drt9rora8o8uGMH7L1384SKMHmfbFJddYRF0e6k+pOYgmh7lsReDPzv/pLvgqqjD7+tacB30UqWBwFvl9lW1wTJFikJALZvb/gUHeOj6AaecY3JIW365tWtrAgCBqrsc0C3/qYFVxCeZePH0/d6aDt45b4ig7kJUYrmtI9jisIwDMOoiCmKNsEsifZk6c6dpfDhva+8AsDySZPqP+GOHWEZ6b7othwV1bgzCJgXvxfjxgFwt8vzMTe6PeYTvMrdzx0VrrE043tdVEvCY4rCMJpAYoiKCROABhv0hP5tUxDDGaEkoNRXPzfpgOigEeCS448HoO9HPwJCBb+lEeWegtfc8zIxJvuqIMBPAov7Ml93x4xv8u9viYsMo8n07trFFS4xUdM47bSwvOOO4fU7drDine8ERr4BX+0amYv9SKs28Rc0hYULw3L1amBIQbzDb58woeF5CNWIKwjP4sHBkn8yzm2u/GyTZIpiFoVhZEDZIHejRqUbMtkIcQXh2Xvvsl0kF5sVMoRTEJ6iDdV9yJWHxOr9SKzlQTBkVbqRZP/mujtPyei7mKIwDMMwKmKKwjAyoPc3vwkXXPiGqxLyX+fCtm1h6fwjHj+8811u/YLom6ff1x37fbfvyQV70+4WLihz3z+XVO+6ELOedWWKwjCyIOZkvqQojaqPXBpTFL5L6oGkLjOvXBymIAqKDz4YjS3lup5edqszMriMTbgzjE7Hh+lOalSA/+fK2f39Nvu/3RiV0Dw6i2JuxsrdRj0ZhmEYFSm6RVF0RWYYxWbMmPAzalTiG+jb7lN25FQZvh8EJd+F0fkUPcOdKQqjeOzYMTRDukNYddFFNe1/8uCg+S66hLRKom1ToRpGlgy6N+i/devLNmzgmaOPBuCQxYvDypUrw7LcJLi82boVgNemTBlWvbjWRj82MsrobIre9WSKwmg5Pt3lRbHG80uuLJm5Rx1VPgbXLbc0RbZGucopiHPcet2Ty0xBdBVZde24FNXXAAFwnaquTNhnFvAPwO7ANlU9IRP5ROR6EXlVRDZF6vYVkftE5FlXjo9sWyIim0XkGRH5RJprGIZhdCtZdD2JSAB8FTgZOByYLyKHx/YZB/xf4FRVfT9wRhr50loUNwLXAt+M1F0OPKCqK0Xkcrd+mRPsLOD9wLuB+0XkfXnlzTaKx0W7diXW1/T2nWfspPPPD8vrritV+RAj/s1rvxTfZZU7ZvE114QVp51mQ2i7kAz9Dx8BNqvq8wAicgswD3gyss+nge+p6i8BVPXVNCdOmzP7IRGZHqueB8xyyzcBDwKXufpbVHUX8IKIbHZfYG2aaxldQNL49HYioiCujimINJFm43Gr+pyje7eLLuIPXd3zrrwgFmOoq4MLdjA1KIoJIrI+sr5GVde45SnAS5Ft/cAxsePfB+wuIg8C+wDXqOo3qUIj/9hJqroFQFW3iIiPVjAFWBcTdkr8YAARWQAsAJg2bVpdQlhmus7hO+63PKOGxrZ3cBCOOy6sfPjhpslWSYaSHFX4tdv/f7v1chFNAdbFlMnVLmSJBRvsTGpQFNtUtaeG02hsfRRwNDAb2BNYKyLrVPXnlS7ajOGxaYQNK1XXqGqPqvZMnDixCaIYhmEUn4yGx/YDB0TWpwK/StjnXlXdqarbCIPnHlntxI1YFK+IyGRnTUwGfF9XGmEz45Ay/d1GC5gzJyzvvTf9MVdeCQcdFC77Ia6OWh6SYW/wBbckIAxVvZdbvuTllyvuCyPzW5gl0blkmLjoEeBgETmQMBzVWYQ+iSh3AteKyChgD8KuqaurnbgRRXEXcDaw0pV3Ruq/LSJfJnRmHwz8pIHrVKbd+7vbmVoUhOfSS8tuig+XLQzOP7AqFrE2jZLwaVTfJkUgw4EBe567lCyc2ao6ICKLgB8QDo+9XlWfEJGFbvtqVX1KRO4Ffkb4WF6nqpvKnzUk1VMpIjcTOq4niEg/0EuoIG4TkfOAX+KGWTnBbiP0tA8AF9qIJ6Op9PeHZZNGDPmc3N4iSKMgvNXhs7ilsggGBmDjxnB5+vSwdBPvfNjyrHNJNxUXKLHPZSAs3bdYxjsjuwl3qnoPcE+sbnVsfRWwqpbzph31NL/Mptll9l8BrKhFEMMwjG7FZmY3mX9yb1pbY/W9u3aZGZ81zhfQd0I4kXMPV73kggvChTRviJW6V/zx/o0zLUcdFZZPPx2WsdwQqUgIEx4fxpomDEf8mJp8C2PGQE/ygJalPnFTO+Hu5QgLzCyJEZiiaDKfbSdTvN1xw1D9H9/PIajpj19JedeqIDxZhLuIyxVpsGvpaip7zPnnD5t/UTOxxE1G55ChM7tptL2iMPKjI0fizJoFwPJHH02lIPzsau+/KGt1NKIk2gB190ESvv+1btuiTnxeMsIsimbjuww81t3UddzqGiI/vPbdrjyzhoapqkVQ5ZjenTtTX6suYtFylwdBqlngrUIOO6zstgPKbjE8pigMwzCMsuSdayIN7a8o4haEX49bGkb2jBsHwOtvvAHA+JzecGuxHOJ4q8A/RWmGn9Yz4a5hYnk3imRNALCp/FD8eUWTtYCYomg1piBax/btAIyvvFchiXc1pVEQfvJc74wZYcX69RX2Noz0mKIwjBYzLGBgmW2eWnwRvccfH1Y8+GBjAmbBjh2Zj4TyirCcteKd0m8AS2L7VDvWqIyNejIMwzDKYj6KHLjCvdlE33iS6ozO4+F4nocKlkUaS2JF7HwjLIk8YzM1YV5FNWug0vBWsyQawxRFi1mSMIPVFESTuP32sPQZ35zPIi+Oc7/zcRX2Set8TuWwtqHYRkaYomg1NoO1dZx++vCyaGx1gV323z/1IbmMaCoAfUFQyq53Uhd976JgiiIvtm0bivljaSS7kr4pYWLFTEJwdAEn7bNP3iJ0LaYoDMMwjLJYrKc8iUYQNUuiK6nFKugIC8JZzo+7/BkfiHwnP3zVdxI67xJ/FT1+azwGs9EqzKIwDKOpvOSUwPWx+u9FRn19zNUd5lIHL1u3DhgKGQ9DCZryVJrdOkJRJKWqUG2uIGXobEXh3rCK8AcwikFpyKzPW+0c3ZWG0hadA7zM7juU8oREvstx8e8VCxnPwACPukx0edJtCqJEwRVFQ11jInKxiDwhIptE5GYRGSMi+4rIfSLyrCvbMcKDYRhG69htt3SfnKjbohCRKcBfAIer6u9dnuyzgMOBB1R1pYhcDlwOXJaJtLVivgkjRjWLIcmy8GHMGwk+mDXLg4C3y2yr66181CjucoszquzaFwSZWl4rgqC9coFnjUj6OTk5xbJrtOtpFLCniPw3Ye6WXwFLgFlu+03AgzRBUfi+zLdi9XNdeXTSg+ecdWvdsMmZkX0suUp345O/j+iiYSjPxQiiQ7BbzLJXXqFv0iRgSKldEZ9JXiNpG/+su+e6WklAqChytBbSULeiUNWXReRK4JfA74EfquoPRWSSqm5x+2wRkXeVO4eILAAWAEybNq2m6/u3ptIboE8ck2BFxB/smQkPpimI7iZJQXjeXW7DoYfCxo3h8tSpsRO6+eEuz3ijlHsxitK1/fudQMEVRd3SOd/DPOBAwv/SWBH5TC3nUNU1qtqjqj0TJ06sVxTDMIz2plN9FMCJwAuq+hqAiHwP+EPgFRGZ7KyJycCrGcgZEhvFNIwG/RFXuze2jswDbTREWd/Etm3lD8rIkvAsccNa+9zIpN6dO1mR9D8wEvH/79+59Wh3V+4j3jq564mwy+lYEdmLsOtpNrAe2AmcDax05Z2NClki4vDxP2p/g/2yHlMQOfKlLwGwvLcXGB6JtF0VeGLj40PJnHVWWMay1kW5yh2/o9wOY8ZY334NFP75KbiiEG1gXK6I9AFnAgPAo8D5wN7AbcA0QmVyhqr+V7Vz9fT06Pqf/CRxWzwOD7TneHfDSI3NAWoZq1z7srjMPb4qCLgk5f2XINigqj21XL9n9911/b77pjv/q6/WfP4saGjUk6r2Ar2x6l0MDSKpCz/TdGOsvpLD2jDahssvD8uVK8vvYyl9W0Y5BeFpybi2glsUnT0z2zAMo+h0uI+iafiQBAe49Z/6ridnSVwbBDactdn4N9pmJudx11juHLTenj45xW/brr4LgGdWrQLgkEoWhcurYl1O+XN2K34DUxSNs1dsfZHvgjKaR39/WE6f3rRL9MViC6VREJ52VBCeQzZsyFsEo0iYRZENI/oQzUfRfLJSEAmWSbcmCVoe+97LfNpey8pomKIwDMMwylJLrKecKLZ05TjiCNi0CbAYTa3gMXePj3STvmp6qGP79gVBKRzAshS/2ffdtePdUv7tPM05msbq1bBw4bCqa5xcPuzHGRH5fBC/L/oKsyQMj1kUGfDii2HpukNWPPUUS92mjlIQ8dzeO9x0q1Y0KLEuotKEsSeeGIrzUouC8LOWXdC8aHdT2sY9qlROjm1b1teXXpZmEVMSABdV+G7d0sVm1Ij5KDIiFnCtY2ekxn0vrXzjjCmBaKP2gXrut4+qesstZc9bjmFKxVsxcb74xeR6w2hHTFFkQMH774wI3iryVuCVVwLpFETc2duWb+A+LMdppw2vHxjgGjfKq5LVYXQpGSkKEZkDXAMEwHWqmjgGW0Q+DKwDzlTV25P2iWItsGEYRp5k5MwWkQD4KnAS0A88IiJ3qeqTCfv9HfCDtOc2RWFU5QH3pv/TWL3PIOKjq64KAt7h6ra6stauprTHFIKBgZF/8M2bk/cdNcosCSOZ7HwUHwE2q+rz4WnlFsJUEE/G9vs88F3gw2lPbIrCSMZPuJswgdluguPsKvNXqsXMidO2CsKT9BZ46aWtl8Nof9Irigkisj6yvkZV17jlKcBLkW39wDHRg10K6z8BPo4pCqNh4hnbsqQnDNbR+61vhes+7LanFeFDDKNIpFcU2ypEj5WEunh48H8ALlPVQZGk3ZOxf6JhGEaeZNf11M9QiDyAqYxM+d4D3OKUxATgkyIyoKp3VDqxKYoiUdQ3aT+CadGisPQje+qQsy8I6H3iiXDl0EPDMjbnonDf3zCaTTaK4hHgYBE5EHgZOAv4dHQHVT3QL4vIjcDd1ZQEmKIoFkVtIH3cp+OOa/hU+0fP5/EKwjC6kYxGPanqgIgsIhzNFADXq+oTIrLQbV9d77kL2jJlwBFHwMaN4XJRG+B2wVk6310azod/0pX1hM/4LVhQR6NzOPbYsFy3rrHzZDSPQlXvAe6J1SUqCFU9J+15G5ZORMaJyO0i8rSIPCUiM0VkXxG5T0SedeX4Rq9jGIbRkXgfRZpPTmTxqn0NcK+qni4iexCmj/hr4AFVXSkilwOXA5dlcK3y+P79I44Iy+3bzZLICncfP+UsiE81cKpah9A2nXHjwnL79hGbXnfDd8eXk3nhwjAwoNG9NGpJeDo5hIeIvAP4KHAOgKq+BbwlIvOAWW63m4AHabai8EphvRtibJE5C8mtQVCaoFcIrruu7Kbx++yTWO+z670JLIkrijlzwvLee7OQzugGuiAo4B8ArwE3iMiRwAbgImCSqm4BUNUtIvKupINFZAGwAGDatGlJu6TGT96a5dbfB0wu0yCtdfvOLFKD1QEsD4KRQfxiVt0vWyhPKk4/vfy2BCsDhrLrxScMAqYgjProcEUxCvgQ8HlV/bGIXEPYzZQKN6NwDUBPT098Ykg63NBN9x7HMSka/0StVQSKOjw2JYdDKQggDz8clnffnf4Ebfb9e//zP/MWwegE2iBxUaNqrB/oV9Ufu/XbCRXHKyIyGcCVrzZ4HcMwjM6lk53ZqrpVRF4SkUNU9RlgNmEAqieBs4GVrryzYUkjXBUEuJQ+pSB0H63h+G+7cll2IhnAp3btGnoz8pP0PC78+IcSjnvcdeH4DHBHtkuXYAbzSgyjG3wUEEYi/JYb8fQ8cC6hpXKbiJxH2C19RgbXKXHJ4GCpf/jiBhqVpHSaefovvu7yFRzk1j/mgvGxfTvsv3/L5amZqPkcn1TnmJ1wXz8Qn6ltGO2Ci1v2+0cfbew8na4oVHUjYfyQOLMbPXeJ++8HoO8Tn8jkdJUmis0899xMrlEPF3i5XP/+18eOHV7fzvgwHQnBBvve/34gIXrsiy8O7V/wPlyjS3GjLPf060kDHKrRJRaFYRiG0QgFfxEqtnSeE08ctto7ONi0borlN9wAwLLY+PqrgoBLvvGNcOWcc5py7RJuDogbAxQG0luxIlzxcZHOP7+5MmRNhbDlZfNQlOm+Mox6uda98S8qkpVuFkV9POV+zNsq7fT00025drluqUta+WAddRQAn3v5ZQD6pkyhz8VXarvkPmlos2GxRvtSKAURxRRF7RzmJ205565vHK+up/8vI3YGAWNb/ZA5B/Y0hiaqeSd+r3N0r3J+jFJojAcfhFmzWidjFpiCMFqFn2DpewXmzi1tWuH+W0tb/T9vA4tCVOub55Y1B4houc6UjnyLrpGr3EPshwXv4colXqlaY2sYuSNBsKFCBrpEeiZM0PWnnJLu/DfeWPP5s8BaF8MwjLwpuEVRGEURvU1F6GoqGt5HcoO7J6WuKN8957qibh07tlhB9wyjTXjU/bdmJPx/muoEb4MQHoWR7m3gM7G6RibTdSrnuntys3twf+7q+5yvojcelM8wjFQkKQjPookTm3fhNvBRFEZRTPrgB3nvRRcNr9zheuQtZPgI5ruHOu676Bs92nw6hpExfa+9BkBvsy5gisIwDMOoiCmKlOy++8iJbGZJVOWSmGXR0vkehtGu1Dh3p6lWunU9Ga3CFIRhpOcZNwjkkIT/zXfcS9cZkW3fdXWfMme20amUJuk5R/eto0cPjYx68MGwbLdJeoZRDy78vY/6EE01sMr9TxZ//vMjDvv5iJqMMYvCMAzDqIgpCiMvrorNQ4nPuQDMkjC6Cxdoctnxx4/YtLhCt9KSLvdRFFu6IrFpU94S1Mwlg4NcMjjI3kB0WEDf2LGhM29ggFVBUDK5DaNrOOig8FMUOjkVapa8vmFD3iJU5ogj8pagbi5JmKR3hbMulkStC8PoFmJpBHKlDSyKhhWFiATAeuBlVZ0rIvsCtwLTgReBP1XV16udZ/zRRzcqSlO5NggY65bPbdMRRvMjYUBKIUD8jG7/nfwfqN3yXRhGLbgskoXJe15wqz4LNXYR8FRk/XLgAVU9GHjArRuGYRhJeIuiU7ueRGQq8D+AFcBfuep5wCy3fBPwIHBZLee91WnX0hDOK68My0svbUDaxlg0OAhz5uR2/Sw5d3BwZOgPP4TWZ9IzjE6mKJaEp+BdTw3loxCR24ErgH2AS13X03ZVHRfZ53VVHV/m+AXAAoBp06Yd/YsXXqhblrrYujUsXYIgGIoS6UPrRSeylRpT709xmehSEZ8J+uabYTlmzJAZ7OXxyVVaQDwarafUFbV167D7YxhGeerKRzFliq6/8MJ051+6tL3yUYjIXOBVVd0gIrPqOYeqrgHWAPT09LQ+g1JCA1gpjHBD0/jjMy/HjBlazvHt5tyoQgC+NmUKAF93CuSCVji7Lfij0c10uDP7j4BTReSTwBjgHSLyL8ArIjJZVbeIyGTg1SwENQzD6Fg6VVGo6hJgCYCzKC5V1c+IyCrgbGClK+9sXMwWsn59WPpupWbFYKkxKFnTcdbV53y3mnvL/4+xY/lYs0d5mSVhdDNdGutpJXCbiJxH2PV9RhOukQnfd90rJ0cbwh7X/dfs7pBaFMXtt7fObxHzu2wGPuZl9aSRuZbvF/XXGEY7cdppYXnvvY2dp1Mtiiiq+iDh6CZU9dfA7CzO22xO/sUvym/s7w/LQw/N5mJxx3ktjWKOzuQL6rUmanlDMgVhtCt33BGW/sXITWStiQx9FCIyB7gGCIDrVHVlbPv/ZGgU6g7gc6r6WLXzFtveMQzD6AYyUBRu8vNXgZOAfuAREblLVZ+M7PYCcIKqvi4iJxMOJjqm2rm7W1FMnVp+W1aWhMd3r9RD0cZ8G4YRcvfdYVnLUPk42VkUHwE2q+rz4WnlFsJ5bSVFoar/L7L/OqBCIzhEdyuKjRvDctSoEbGcnnL+i8Nq6HrxPo9jgfHx41zUyop4ZeK7baJzLqx7xjCKy7hxjR2fvqt2goisj6yvcdMMAKYAL0W29VPZWjgP+H4q8dJK15FUeAuoRUF49nHlz4ATvF/B+ybSUE4ZmJIwjJBRo4b8AQXg1/PmAbBfIyMDa7MotlWYcCcJdYnz00TkY4SKIlV3RXcrikpUChoWd0y79Zfd5jOPP34oc1w1XnxxSBGUc1oPDBR++JxhtIRGunCbwH6/+U02J8qm66kfOCCyPhX4VXwnEfkgcB1wsht8VBVrfQzDMPIkOx/FI8DBInIg4XvrWcCnh19KpgHfA/5MVVNneDVFUY5KDmT/5u+shrWzw9HApQ6itNYEpPNdmDVhGMUkq3lWGSgKVR0QkUXADwiHx16vqk+IyEK3fTXwf4D9gP8rIgADaWJHWQtUjaSJY77OpRH9mav+bJp+ynp8F4ZhAHDn6NHM8/HHOsV3l+E8ClW9B7gnVrc6snw+UHOyGVMUwL8FAafEGvnvuBFMb7v1M6PbY8ojlYJwSuU/X3sNgA+6848YHWUYxggecP+X3aBYCmLhwrBcvbryftUoeK9BsaUzDMPodDo8emzHELcmopz54Q8PrThL4gaXPjRNStQ73ZuQH6sxxZXrXHlyLYIaRpcyu6iWd6OWhMcURXtyxq4wddEDLnbLbCiZh2kUxD85BfFBtz7zZTd41pIAGUbt+O7e004rBch8/bzzgA7ovjWLoo1xSmHfOg8v+S38CChTEIZRP74P/447Ssv3OkUxPyeRMsUURXvSF3WeATNSHOPTip67c+fQg+2c2ElpV1OzcWNjsWQMo1OIOH3n/9mf5ShIxpiiMAzDMMrSpYmL2poVzirwLKuh//Nc59dI/NEb6HrqO/poek86CYAb7rsvvFaz+mVvvDEszzmnOec3jKzwz2q7Yz6K9uHmmILorachbtJbQVSWnTE52bQpLGPRb9PizzfWXeMq1+97iSkKo+iUy6K4aROc7+aUrVs3bNMV7nlfsmJFWHH55c2UMD2drChE5ADgm8D+hHPT1qjqNSKyL3ArMB14EfhTVX29MVGbR18QlHwRaSyI5e5hm+vW/8uVs91Q2lsfeYQzK1kXDbAoLl+dCsIzNna+S9p9BInRkfj/3LLx4+HppwFYMWkSAEtjz+xNRx7J2WWC9S0p6vNdcEXRqHQDwCWqehhhGoYLReRw4HLgAVU9GHjArRuGYRhxfNdTmk9ONPS6q6pbgC1u+Q0ReYpwTtk8YJbb7SbCfNqXJZwiV/oi3ThpLIm+WLfPDH+MM4G/4+Zc7AYjLYlY2PJhiZHcG1Ip454PUeDOcVUQ2Ju+0dUk/T/jloTn7Hb7r3STM1tEphOOIv0xMMkpEVR1i4i8q8wxC4AFANOmTavpet7pXO5hqUS8wU/jj1gRBKWbNeKa7kc+o9J5YtFohyVGiqddXe8SWPWEQR3rSNdeNyUT/9xzAVh7ww3MbLc/nmGU4Vb3fJ9ZtGe64F1PmSgKEdkb+C7wl6r6Wxe+tiouhd8agJ6ensRMTOWYU6uQjJwbUYs/4iBgfqserp7hUX9H+CWaSPyezLzuupZdux6uDgIudjJf636rVt6vPHnGfd9D/Pft7w/LSrng24Vt28JywgQAvua+6+dS/mdH/LfdfKbUCRhaTacrChHZnVBJfEtVv+eqXxGRyc6amAy82uh1DMMwOpJOHx4roenwDeApVf1yZNNdwNnASlfe2ch1kji6gbfGevwRtVgTSWHLR9DgsFYj5OLIfe4WS8JzSPz7doIl4XGWhKeWN83E/7cLpbOsfokS2eXaidGNPnudrCiAPwL+DHhcRDa6ur8mVBC3ich5wC+BMxq8Tiak8UXU47+IU1VJwPAE8a7L4PvveQ8AJ8eP37o1t1hRiWa8YbSYuuY1tZBfx+c31UKnWxSq+jBQziExu5FzV8M36B916w/Ftr8PmH/BBeFKilDAy7OYcFcL0dhN7k1whILw5BxQ0N8bn3zXv90Vzcm91slZNLlahh89Fx8cYTSd/V55JVxwcztqpltGPbWaeEP+sQbOFbUiiv7m0mqSrIn35iBHGkqh3LuUvve/H4BT3fqMTnqWfXDNWvLRt5JYV1lNdLpFYRiGYWSAKYrWsMFZBXe79VosA7MiOoO+KVMS64f9vm+6XIOxvMulGEAd8Czc5co0ofHbhoJaEm9ncRKzKFqHHwV1dJqds0qIbgxnYCDXvtYRCt8rhSgxBeHpBAXhv398QIbRPAaq75IOUxTF4+avfx2A+aYo6mKLa4gm+8bVO9snTBga9lsEkpRCbCJXQ+SsGMthFnLrMEVhGIZhNJ9uivVUZLwp7t+0CjuNv03w92/yjh3hwrhxYZmzNeH9VBUnY8YtCfcdrnjnO4FYF5T/8w4kvzf2jR5tb+9dTnJHZo2Yj6IYzK2+i1EB3wD75vJBV56w997hQt7dTc4X4QcypPJTedx3SPRReAVRLkGO0fXsmdWLgimK/Im/YX60zH5GMn4y48XPPQfAMdOnD98howa0lqB+/W7fb2Ry5fpInAbplMozLuT8iDAbhpGEKYri4Ru+6CQ9/9Z8r1uvJ3x5R+Bm9fY9++zIbXEFkTG1xGqa6vcNglL3zxXNGu1TRhF+Nklet68piGLyY/eMHFOk38e6ngzDMIyKmDO7mCQ5IGuah9HJ+HhBkQEAVzV5XH4pCdVhh4UV3ufx5ptcO3YsMGRtVJoj0AlzIYzmUihLIopZFEaRudo1vL+tsE+z07CW7eYbM2aoOyo2ea53165wocyIJMNIYpV73hdHnrlSVseZM8MKn7bYcU0QcFGzFYwpCiMTrrwyLC+9NNPTXhx7Uy9ZW/ffn+l1EvGNvM/MFvOBrAoCflfuWG+qF9xkN4rF4oQGv1oY/Yv8S0mzMB+FYRiGURVTFEYmNGJJ+Ilxbs7A1UFQsasJgBNPrP96afHWQJnRVNG3v39zFk+qpFCGUQdfd8/YBbFnrG/0aPZwy03xg5lFYWTFre4hPrOeB9VPjHNcPDg41NXkzOqn3Lj/onJU3gIYHU9cQXiaPvu+DUY9NU2NicgcEXlGRDaLyOXNuk63cObgYH1KAuDGG+HGG3kuCHguCIaPHBo1CkaN4rDBQQ4r8Nv6AYODHFBg+YwOZ9u2oYCSzWC33dJ9qlCt3ZWQf3TbfyYiH0olXh1fqSoiEgBfBU4GDgfmi8jhzbiWYRhG25OBokjZ7p4MHOw+C4CvpRGvWfbOR4DNqvo8gIjcAswDnmzS9bqO7zir4Iw0b9lz5gBDCW3eBSRkajAMoxxZhKUvR3Y+ijTt7jzgm6qqwDoRGScik1V1S6UTN0tRTAFeiqz3A8fEdxKRBYRaDWCXBEGBkhkwAWiirVkzyfI0OBnurxo7vj3uUb4UTaaiyQPFlKkWovK/p9aDN2zY8AMJgrSaaIyIrI+sr1HVNW45TbubtM8UIBdFIQl1OqIi/IJrAERkvar2NEmemjF5qlM0mYomDxRPpqLJA8WUqRYalV9V52QlStLp69hnBM1yZvcDB0TWpwK/atK1DMMwjHTtbl1tc7MUxSPAwSJyoIjsAZzFUBe5YRiGkT1p2t27gP/lRj8dC/ymmn8CmtT1pKoDIrII+AEQANer6hNVDltTZXurMXmqUzSZiiYPFE+moskDxZSpFgohf7l2V0QWuu2rgXuATwKbgd8B56Y5t4TOb8MwDMNIptjzxg3DMIzcMUVhGIZhVCR3RZF3qA8ROUBE/kNEnhKRJ0TkIle/r4jcJyLPunJ8i+UKRORREbm7IPKME5HbReRpd69mFkCmi91vtklEbhaRMa2USUSuF5FXRWRTpK7s9UVkiXvOnxGRT7RQplXud/uZiPyriIxrlUxJ8kS2XSoiKiITInVNv0e1IiKTROTbIvK8iGwQkbXuudsoIk+KyO/d8kYROV1EbhSRF9z6T0VkZt7foWFUNbcPocPlOeAPgD2Ax4DDWyzDZOBDbnkf4OeE09//Hrjc1V8O/F2L5for4NvA3W49b3luAs53y3sA4/KUiXCS0AvAnm79NuCcVsoEfBT4ELApUpd4ffdMPQaMBg50z33QIpn+GBjllv+ulTIlyePqDyB0uv4CmNDKe1Sj/AKsBRZG6t4DfN4tT0/4bjcCp0fu/c/y/A5ZfPK2KEpTzlX1LcBPOW8ZqrpFVX/qlt8AniJshOYRNo648rRWySQiU4H/AVwXqc5TnncQ/uG/AaCqb6nq9jxlcowC9hSRUcBehOPBWyaTqj4E/Fesutz15wG3qOouVX2BcNTJR1ohk6r+UFV9KsB1hGPnWyJTmXsEcDXwBYZP9mrJPaqRjwNvaThiCABV/YWqfiXl8Q8BBzVFshaSt6IoN508F0RkOjAD+DEwSd34Yle+q4Wi/APhn+jtSF2e8vwB8Bpwg+sOu05ExuYpk6q+DFwJ/JIw/MBvVPWHecrkKHf9ojzrfw583y3nIpOInAq8rKqPxTYV5R5FeT/w0waOPwV4PCNZciNvRVHXdPJmICJ7A98F/lJVq+b1aaIcc4FXVXVDXjIkMIqw++BrqjoD2EnYrZIbru9/HmEXxbuBsSLymTxlqkLuz7qILAUGgG/5qoTdmiqTiOwFLAX+T9LmVstTKyLyVRF5TEQeqbLrKhHZSBjL7rzmS9Zc8lYUhQj1ISK7EyqJb6nq91z1KyIy2W2fDLzaInH+CDhVRF4k7Ir7uIj8S47yQPg79avqj9367YSKI0+ZTgReUNXXVPW/ge8Bf5izTFS4fq7PuoicDcwF/qe6zvOcZHovoXJ/zD3jU4Gfisj+OclTjScIn3UAVPVCYDYwscpxi1X1KFU9SVWLFOy0LvJWFLmH+hARIex7f0pVvxzZdBdwtls+G7izFfKo6hJVnaqq0wnvx7+r6mfyksfJtBV4SUQOcVWzCUMX5yYTYZfTsSKyl/sNZxP6l/KUiQrXvws4S0RGi8iBhPkAftIKgURkDnAZcKqq/i4ma0tlUtXHVfVdqjrdPeP9hINJtuYhTwr+nTBi6+cidXvlJUxu5O1NJ5xO/nPCEQ5Lc7j+cYTm7c+Aje7zSWA/4AHgWVfum4Nssxga9ZSrPITZSNe7+3QHML4AMvUBTwObgH8mHC3TMpmAmwn9I/9N2OCdV+n6hF0uzwHPACe3UKbNhH3//vle3SqZkuSJbX8RN+qpVfeoju8wmdC6f4FQcf0HcKbbNp0Ko5465WMhPAzDMIyK5N31ZBiGYRQcUxSGYRhGRUxRGIZhGBUxRWEYhmFUxBSFYRiGURFTFIZhGEZFTFEYhmEYFfn/pBQLspGwWDMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = traj_contacts.residue_contacts.plot()\n",
    "ticklocations = [0, 20, 40, 60, 80, 100, 120, 140, 166.5]\n",
    "ticklabels = ['0', '20', '40', '60', '80', '100', '120', '140', 'GTP']\n",
    "for axis in [ax.xaxis, ax.yaxis]:\n",
    "    axis.set_ticks(ticklocations)\n",
    "    axis.set_ticklabels(ticklabels)\n",
    "\n",
    "ax.set_xlim(0, 168)\n",
    "ax.set_ylim(0, 168);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adding lines to guide the eye\n",
    "\n",
    "Let's say we wanted to add a line to separate the protein (residues 0 to 165) from the GTP (residue 166) and the ions. We can do this with matplotlib's `axvline` and `axhline` to create vertical and horizontal lines, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x7fa6abb87a50>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = traj_contacts.residue_contacts.plot()\n",
    "# color='k' is black; lw=0.5 sets line width\n",
    "ax.axvline(166, color='k', lw=0.5)\n",
    "ax.axhline(166, color='k', lw=0.5)\n",
    "# also available as plt.axvline, plt.axhline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Changing attributes of the colorbar\n",
    "\n",
    "The `ax` we return is the same as `fig.axes[0]`. To get to the colorbar, use `fig.axes[1]`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = traj_contacts.residue_contacts.plot()\n",
    "# Scale the labels of the colorbar.\n",
    "fig.axes[1].yaxis.set_tick_params(labelsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Performance when plotting\n",
    "\n",
    "While `residue_contact.plot()` is obviously a very easy way to make a plot, you can always convert the contact data to another format and then plot using other tools. For more on various methods to export data, see the notebook on integrations with other tools.\n",
    "\n",
    "Sometimes different plotting methods will be faster than the built-in version. For example, when the contact matrix is relatively dense, as with the example with a larger cutoff, it can be faster to go by way of exporting to pandas and plotting the DataFrame using `matplotlib.pyplot.pcolor`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 16.7 s, sys: 257 ms, total: 17 s\n",
      "Wall time: 18.5 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "large_cutoff = ContactFrequency(trajectory=traj[::10], cutoff=1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 17.5 s, sys: 159 ms, total: 17.6 s\n",
      "Wall time: 17.7 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 2 Axes>, <AxesSubplot:>)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9SscwSXE+Eg9grpqnr+ftaL2VIsnBMX4ZJvGvPdv++FXLJGz1JMroVWPgIoa+C7WszcNFBHwJhA2xBK6Od1DHuw3ps4rx+UbCRPhtwV4UJu+lUKO9vnaYCDWiu2IjTBs3muW1aAzTXHw8qFwwMTob8714sZS66Rc92766YRIEPqUgi9wdixDyIdIF4ir96ZuO2TaOqW0IcS+TYtzlERbSH1c5mIgj9ypzpbooGsukOvCZG0UowbP1EXKtr4RWZozQeZgS/HEm5lu+VEOvgSKJhiP2PrVayvVOTec0UzLZQU22DIYykkTXs+2rrlomEaNuGgVc6phxm2tZmHThFHVkVOW7SdNOkCaQ0+f4/GxMgxvNY2wEReAE0KSiLGIOw8hhxtcvlXj0MQ1eNc5WV5rDZLQ3zYOPS8cpipw2Jf/jxF4fo+1c92C6J26v4GjFx0lcL4R8s2fbWxsmEQnXQgv1tuBtKMrqwcvupEKJWBVELwQmZmmqK1AE17urEyap0TS+r9RnUxGG6Nltcyy6tsgm4VK/FNmjfMY3JcczbTy4MbzM2i6ybei/6dxMqT1cSf1sDjAlmcSSZ9vOuKflqA1f+1r8YqTnTAvHdJ3Ph2UCXVj0dxFCdMe0bawNgY8Tw5Rc17iIJr/O5ea6szP4TG39+xq8bXB98K62Oztugy+fu+l8yDkTYylaz7Z+io7ZmCI9Z7rOJqnR50ZTZuhjpu+mzAYg1n7pKqXK1xP9m6vQYlWkBhyKtBx1IpMkxkGF47vbqmoMH4SOS20ngD09hc3dsIjo2p6Fz33ZVAlU/1vkDlvkjeOqZOYDkx3FFYzlel4xwX4mG4H+m3vt0LH5WNxo7rI5uUoH+6JI+rKtGd+x6JoxqZRcc3HNjdpYbAF6XBriEgcQHUz3LCHkL3m2feVVq24ylS/lBrQQPW2RuOwiRhQ2wmQy7vlcpxH6sYQQX1f7IhUDb6eP8SA4II4AF92jS1XFvYV8XZNtKLJJ2AoLhcD13oriR1xM2OacELJ+QgJTQ4L5bLp+29rzjX2wje2rpuLSgY82wJeBqXax6qZnCSHf4tm2fdUyCR+bxPp6efWLBl0gLpGRV6wyHddw7RhDPgIfhDyLIsanC6zofjVCIq5NxmQ6tslHvSjAqqg0pe/cTMc1TIZNOjfAL4bAxKR8JB0KW3vTPVBjbYzdJmSDAAzmTHLBx25XhT3GRex97JA2lZJtTN3O8dzKMIlf9mz7ow2TMMC2C4pxeQXcOl+66LS+PNTN1pVPJpbJFS3QMvCRaqqyjdC+igh4mXccA5cqpmhXXEXUuO91PBajjFRcdM8aNsLveod1qGZd367JE8pGO1zJ+ky2K8CL6ZVRN/2vnm1fcdUyieuvlxeWlsL8703wIWZlYyts8DUS29InuAhzEbEJtR0Ujee6l1j7iKmfMszHZgynKTVMcw1l4CZpKAYmFaiv2ijE8cDFhEMdGfQcXfdu0tGbEKpWMsHEMEzfj/7bpJo0vQN6f3yeNslXX6v7LyFJTAUwiZdftUzCFEwHuD9I1w7OhFBDa5FfdOhYejwXAbClaghRsRRF88bCRyTX49sii+n9652sD/MrY0j17SPE0OlSW/nuUGnbEJsOEJZ2hfbvE3So1yCdkykinLYH+t9KkcrGBzxNhq+NzTZHlwRimiu/J9qHbT2VSPA3JURaV8EDP3LVusBqcG8NbjBdWEj/P3HC7H5Hceed/b9vvTU/hsbmptuIRfXU9INcX0+vIX1d2d8HABw5erQ/Rw3bDqvVyt+fjYjQOWroZ8Fx9mz+N72OX3PxInDvvf2/ORExfSx8rjwZnm4P9N8f/U2ZoG23p+dK74UzQTpHl5HZZaC12ZmWl+OlKXodv9ZG7HzHoM8LCIvX0epT/beNQZsIPV03Z8/a7z/0uG2evI61ax2axuD35wrK4/frO1ferqRWonGBLYB3MJ1Jbw2Us0/4jlfGcF2VflbDJd1oBqbB52Xz9S4y4JWdFxCmoy9SX9QBl6qmyJ2Y92E6XlaSKHtdSP8+atCi+4sdm/fva2S2SSCu61y2DMqUTWk5KjJcTwkhf8Wz7Q9dtZKELZiO6wtjgpY4qMHOV/3Af5t2z/RcUd+mfkP0xSaRX4/r8h039cPnAfgxQRPT5KoyHjCnj9E2JsOg6Rm4npNN5eG7Q9/ZGdyhFxl+TeDMuciQ66OWDFGThO7YXaDSGU+5zlNb6Ha2/kPmZSLiJpWpKR24bQNE58KfE80hxtOPuOZRxp7GIAB8XWW9VY/xkiRCFnqIMc91bRkDal07uRgUMVnAbcz07d/HtkMJnCm+xDQ/E8Py3c1yI2RMbI1pXN9r+P0Cbhffsrtu3511FfBlUmX6p5Xq+Dlf6csk/dg2EoA9QyzNPMvVoVyyYOPHejc9Wwi54tn2n4+jJCGEeDeA7wOwJ6VsqWPvA/BtqsmTAPwXKeUJIcR1AD4B4FPq3IellK8tnMUXv9jn1D46R/07ZAH77GxMH7IvA/FtxwkjJ3B0Lj6GRj1n087TdR2/Pz4vV/EXPo6NmHObC+/LV4ft+m26X9OOz+dd2u6DwnSPtF/T7tU0V5/jrjny66ra2cbaYsqAMwgfqVE/9xjJikfU03GWl/PJAPm3anINDt2MGFCVTUIIMQvg7QASAL8hpVxm558IYB1pRdHHADgrpfw/nH16lC/9LgD/P4C7NJNg598K4G+klL+kmMT7Te1cqKTGdVU60bphm+dBmX8RhkFcXJKFDSH2Jw6bLcXEeGxG1iokCc7YTX+bCKtJt2/q1zYm7cfXRuHqK1ZSM9kPbOrKIpuESVUW8+wIYm0SzxZCvtWz7Q84JAkhRALgzwGcBvAQgI8AeIWU8uOkzRsBPFFK+XohxFGkG/pJKeV/tY1ZKElIKT+kiL9pUgLADwP4Z0X9eMO26ItQxwItA9sCtYnPZfrk51y+3Rom1Y+GyT3VV+w3tbNJSzb45Goy1TQwjc/nYoOLiPPnzSPxTdKMj60pRMqxzZX35SPBhNh8iiR4n/QWobARdJPdw2bL4syFvhfqFEE9KOk6Bdxu6FpNBgzWrohARZLECwE8KKX8NAAIId4L4GUAPk7aSABPULT7mwB8CcCjzrn52CRsEoKSMt6mOZtq9zGk3OwrAH5BSvnHlj5vA3AbAFz7zd9841+95jXpi+DJzGwIfSm+u3dbOgi6mFweLkVqKlccgQsuX3XXXIpQB9McNkMui5DnNCyJr0iyAYrjHfgOmVeGi4kU52uvqmfBCbSeF2feNqZkskmY+gfsNhDTXFxR3Ow7i7VJPEcI+TbPtt8P/BWAL5BDd0gp7wAAIcQPApiVUv64+v1KAC+SUt6uGwshngDgbgD/HYAnAPgRKeV/dI1ZlkmsIuVcb1W/Hwfgm6SUXxRC3Ajg9wE8X0r5FVf/XsF0lHPzqmahOzGNot2PLbiNHi9CqxXuz06vtYHGcPDxXPBJv0CZta1P025SSyB0l8ZTWvA+beqpGPWPvtZly7E9H/o86c4wxBW3iIGYnplpni4CVxRwGavSsYFvZELzaPmMbZKM6bx8iD8/TiOnfb8p1xxMqJBJ/Jpn2+9zq5t+CMD3MibxQinlT5E2PwjgOwH8LIApAFsApl00OppJCCEeA+CvAdwopXzIct0fAViQUl5w9Z+l5QAGvQ80bMTGB0VEhYJ/kKZdP19MIVHNNh0276doniFjlP2Yi1xiXfpsmytp0W6YbwLouqC6aVrInvar4SLw3CjpEwvB76loXbqS+dnSh4RIjTYUSbMxKErKyOFSudFriyrQ0f5s3ytl5iF2kyIJhBunHfcea5N4jhDy7Z5t/yc3k/gfAbxZSvm96vcbAEDKfkC3EOI/AljWGh4hxP8D4IyU0moULsMkZgG8QUr53eTYUQBfklL2hBDPAvDHAG6QUn7J1X9wgj/+UWuYdOz6xdv08y7xuei4LVaC78T5ORNCdqEU9D55/9y3mz+vixcHI7QBt9G1CKYxTYzWFNVNEfM8yjDDIlWGDUVzDJ2TD4OPJdK2eRXt0LmR1+eeTN5xXN0F9NeH73NyfZOmaHw+Z9ez49+1y97F5zE7C7G1Fc0k/q1n25e6mcRjkKr6TyHdwH8EwI9KKT9G2qwCeERK+WYhxFMBfBSpJPEFU5+An3fTewC8GMA1AB4B0JVS/qYQ4k6kLq7vIm3/BYBfQmoI6am2/3fRjRvrScTsnKvWFfNdBpcmTFIPZxAmwjhMwhFC4Mo+R5OUZJM4QghoiJrBNR/a3rXrdzHWKpJCxkrEJmKrUQVD8h3ft0/brjxk3iFqXZuU7korUzSW76ZuJz5O4rkBTOIlBXESQoiXAvg1pC6w75ZS/rIQ4rUAIKV8lxDiaQDuBHAMqb18WUpp2e2qPscimE4zCZNaqG4jYR1GONcYRfBN/1A3+HMpW9+7TlCGYZIwgUp82YMR6/FS9zr0YVJUQvXJ3hpLYE02CS7FUMlAn+P2BtcGhP7mFe24etnlrFKgIotVNz1XCPm/e7adveqzwLqMVvxY7AfIUbS4TG19dc8crkyZtvQDdF5URNco0p/T9j5tTcdMz3sYBNdXXWK6pghl1DixKDM3Ux9VSXxVzMfneZrclkPUQDEqqZDr9LUuOmRjZiUliXd6tr15HCOuh4LHP37wRarfG0kCALgMYM9y+YTjnAvH2e+jAGZ6vfTHmTNYXekHy08CmFMZXpdUxlfbXHR7jTndJ2BfsK4dur5GP5PpaVy2NJ0EBs7l5rK4mP5x551Y3d/HvJ5bq4VV9awn9ZzpXNm8l1RbE7pqDP385skzXVLHuvrYpJrdrbfmdqxLSdJvA+Q/SNdHH0AQ9P3ejDQENZt/r5etu20617KIJOqr7Fnrtd5dWxtYN7rtPJvzRpL012GVTJBGQHM7hG0DpnT4AAazyhbVnfDZuJhcXH0ZTZH0U9MGYpyzwI4HkyiJEAYxQf4+aji/Sz5ITnA3FHOYgBuTlr5LQy30oxhkBBouZgr0CbdmHFfU/R4hRMXWd9aHg0EAyBhB9tvQfuDYygq6iuBtTE+nx2h6hJtu6re9XDRDC9bXsdrpAEifkX6P97Bm/P6cDJEwlNxmYHY2Xxo2AEXPV2Oj0wHU/Wjo93qe9PEAgBuiZlIASqRNThy+EsvOjt0JpKg/KlXH2thc7Xj/VO3qkyjUAwLjzSTGQ92kXGCX2IKnEsJx9D/CK0mSI2oHGZQAdS9dwpIikN3Fxf6u+/RprG5tDewOq4ZmGHcZznHGo6WwnPRVBmwHeT5JcE79fYo020e6u6fHdLsQifI4gLm1tfRHXXYWStQWFnB+ayv7eQx56YXiFIAZLfGVqeammOzGykrh5oHCKTlRgk51+6aaHj42Dw2TswA3OFMbgT6na13o2jB0bBfx9jWiB6iuYm0S3yaEXPVse+qqVTdZQBd1piYBDjyD2CWqDArNIADkVF0bW1tR6rRQ6Oc6zz4MOi8NPffu6dPVDM6I4UyvB6jnRJnQUpKkRJQc29c7+UuXsDo97fWstgHMVWXXMmF9Hec7HcwoRnR+aytjZoBbGj0H4JzeIISkfmcGYS7R+cBLtWaz2/HEitw4bdqF8+uKxvMFTdxH4WIepuOUCdoYSoxnGUMjSRTgaULI13i0q0w3TDCg+64BGxamEIsJDOqc64BWe7iIbvf06Wi1SiEMu72cbl2B6uGvJAmOqA1FEZGs+70XQtljuI3rFFJJAwCmQueopIfVlZWgjYX3s3DZAWiadpN0xj2J9DHKNGg2BVe6EC0tmPInuYzhpvn7ulMX2CvKSBL/3rPt9zSShBtcNRPCvXPXsg/CpJevCi59diz2WL98Z+0NsvCvJAnORsxlaWsLExZjaRlsJElfWmm3M0PnNoBtytgnJ/vE8MyZ9B48d9D6GQ6LWXCjss0Bgkoc3ZABZmexRFRavnDdf/AmyrfmNo82d2XZ1W1oyWDXrh+wE3WuHqvCGF2BFDHORYfGgkk87XnPQ/c97zGqNayIfDGmBV+n+mrAQ6fVKs04JgDMX7qU/iizQMm1R3q9jCBpm4+PJJE775tewQBOjKjUdT5J+kyQP7vLlzMmheVlbwZBsZoklUtm+h1rtdKe4ZwPVpMkMzoXbQRCGUQRcyiFInWMq+a0q0/f9WVTN2n4BkVSN3IbEzrk6qaxYBL7H/84VgMYRMzOz6gD1m54dfvHKwQxQQf2gFrnmtkmlD6dOxRwVLET5310e72+eyzzZuJt54m9ip7zJXQZw60Q3V5vwMMpkyQWF4HlZe/5PaD+nzGdVM9o1+GWbZ2fBUEMooio+8IUy8NLlHIGwTMg0G/CVbe6KBaCgkoxpuMVoWESBfgHhLmxeonAjMDo/peSBF0W75B5FAWqsJxQC68qxsBBd6qV7YK1y2mrBbTbhcyBz6VytY0pr5QBu0p6mCrjCVQHmK1mXhv51Ty7ijm51sj80aPOuBxNVKc2NwelLAsqlSAoEaVqpNiEnK1WnmG4dum0kmVREB6P+QndGFaRjsWBhkkU4CkA2rC7BJqwlCR9zxr1MRoXuMlH3/bRVcQgVpMkF8BWJ7R9QjkChqnOJif7u3QS6AZgwP/eB2WcAHLX7uzkCSeby1KSZAQWN92UxTnMo+8kEDS23iRUyeTOnMmYLZB36W0nCaZ6Pa8NRG6trq9jo9PJGe61W+05j/uujDlUocbhkoNPQkwP47H1Wle/ZVFBXw2TKMDjbrwRU/fd570TAswLnhKZXfUBTimxn+pruSRRNejOfk7NB6hWqtBxCtzTJwhUjbO8jK5lJ16H8Z1/1DTuAa0Wur1e5io8xVRIuXd/+TLmyaX0eWxHzjs0DscU5awZ7inF4Kgxeh3A8Rhm1ukMZAk4Z2w5iNrsDyGpaygxNXku8XNaOvFRB9WNWM8nD4x7MN1YMIn9++/3jjL1ASXG7SQZkFBszGEpSTLbxfzRo8C998aVZyRJ5nxVNqHQht2bhxBY2D192ssoGrQTZx+VyShrcv8MGaPb63kTQGqzCn2eJnVft9fLEY8ZDHrRzam2IUR6m1znq8axPbMo5sCJNieOVN3kmp8t/qAoCK8s6rI/lpzzOHs3jUWcxLOFkCsIjyPICLradYaoq0L6BxTT0Dtv5RNO1RS+nkB1w5TPxwq2A7JFf4eARsaHgHsY7SqVDIdRpeX48GMI4SkAM1V4j7Hna8urFOt+XIQqpIcJ9FN67MPxbl2ZV12RzJwpmH67UEV24ir6KJHg778XQq55tn3R1Ron8aQbb8TcffdhjuXWKQL1SpkiEbplcJz8P7W2lubHAfKqGbWY6EdoMx7rCGGgWDVA7TLdtTVvKSQ6ToJ9gEYPI4TvdLWax0ikqEsh+Sj5+55aW/OPX3HpqSNwDsA5m53CkIDOZLjXUmm2LtbX+/eoiKa+v3FlEECaC0p7V1XqJswNyaYqfUVurEA1KVWq6KNxgR0S2m3MqxemPzITs7DtVk3eIqEZYjUr2AbQ3dkpnaive/p0tgjPFRD9XKI5kvBM3wP1uc8M1SGSQyS6KpIZcBO0jCi6krXRTKBsjBzabRwx3FeoSsvHg8iELnGr5X1ycDsBkNq9Nvb38+6b+v0vLACbmxnzO04CB8uiatvD3OIizrtiTzgjpr99mLTL4KzXkU/K+CJpJfRYKEqomw68TUII8W4A3wdgT5cvFUK8GcBPIJVAAeCNUsoPqHNvAPBqpJXpflpK+UHv2ZAXPYF8CmdK7G+2XG4iBKHqn1zQE/k4HqDqkABD1dLWFhARBbtRcM2fqf+PdTqYGkIhIE3QTiUJHoD5ueZ2yuMC9Z7aUFKO52VZckVuzDc86zlTnMXly2luKLJObAR8rtfDnIrZiYmYLuofCGMQA8GaLibBv4Oi2uUhCFnXJgO37RvlEopvNlfbd09skLE40EwCaam7d2AwOeivSilzG0shxPMAvBzA8wE8DcC9QojnSin9tn/kBXAXUkqUzgKYYJGodXjgUMZEU2G0ke76s7z+PKr6pptSo7eC3mlyAkX7z3bhZKFrtc2kakefAVVdLQwxK26Ryoy+h+MrKwMSn8ljCag/s+/U0aNYj/Bm4zYQk03E5EK7mySYCslrpWNCIj3gqpQg5hcXc9+ifmrOyHS9bk2Fs4o2DTs7bqbiSsjnW2eEgjMfX2bkmkdJjLPhupBJSCk/JIS4zrO/lwF4r5Ty7wH8pRDiQQAvBPAnoRPLiIta4MeRJ7LzLPAtxJPFBarSoYzqBuT1/tTtModWK2e/yKWaUARGGzBvQV99cwO93nEtwOIETAVWakSIrSRLxU1gS1h3xNC2Utx7bzQBtsKxg1wHgK2tXO4lV9BhrHt01eql7unT5mR58LBJcKOzr0RZh0dTBakyhomDLknYcLsQ4hYAFwD8nJTyywCeDuDDpM1D6tgAhBC3AbgNAK699lrrIJxQAmohswWwW4MkQZNBnEM/YGlBnZtiwXxF0MF/9GPrenpWdIlKo7u21r//YdecbrfRbbe9CNBSp4OurbZ0URqFqqFiL2II51KS5O0OJHsr9YC7kiQ4Qt4Tv6OuI/1HjJNAWQahrzd6kvkQ2CJCzCUJl23B9NtluNZjV1H4JzYLbEXutAfeJmHBKoC3AJDq/7cCeBXM92r0sZVS3gHgDgA4efKk1Q/X6OFiIMpVRTjvWf6m0Lv/CaU/HpAqyKJfmp7OjMxnker0tcqGSkddIJ+nhnp8tNtYnZ7O9MQbnQ7mhs0cLHBJFgtArSJ6DHw9zSgm0Jdst5MkkxQzKUHnACPr0kjAPe7Zh5FVIT2cArJ5Tx2NdM/wJfb6b9f9U4mMphF3gaupuOrJx+DtiyKj+VVukxiAlPIR/bcQ4tcBvF/9fAjAM0nTZwD4fPTskGcOXYdKwlRNLQZU3UR3iUEGcIvKqKsW1gxpOgcGy+46F8VNicSIiK1mfDmvHYazCEx1PQRoleEMT/3hAE/NnkG5w2pjc1X3ylWrFGUYRLds7EdIll/fdBq6RgStE8GlA9eOnbb1HdM1VxtqlCSAQ8gkhBDHpJQPq59zADTLvxvAbwsh3obUcP0cAPeVnqWCjqGYVyoMGqVdVxCbq199js5jEnkiXksBepJddBhFk0zQ0tSpAsLE52czXA8bu1XYJ3Sivorv5WaYmURpCSJy/em5bHP1oS40pEHLixbZJ6ib9IkT+d+6jyJj9s5OXpXlMpTbgveKwFVfNhfaq1mSEEK8B8CLAVwjhHgI6YbpxUKIE0hVSZ8B8BoAkFJ+TAjxOwA+DuBRAD/p7dlkAa27nBFl9YHXwRjK9nkZeS8QmkahVN0CEsRFC/2U7jcGk33lXojaBiDBgqY+WUrwOhDr3NA1pE3XdS6MBukStTV4LEpVxmndNjTvl7XUqqmcp8m7yQTOCEyMwWbLouds7q6u3yHMsqhffazVikqKCYx/0aGxSMtx8uRJeeG+YoGDfhBt9AnOKYQTKxti1E3OnSQlFoZo3SiMgSQRZGAlag5bhcBcYaEaUUuyQgUa5DkQce0JPr+6EvOFpG+hknKhC6wNrl24rR2LyjfC5vhRtXdTEdMvkZajJYT8D55tn3e1puVwwfYh0JjeKhkENYDfgr6tI/fBqyyzUz7FaujCMjEIg9HTCMIYVre2ME9285UxH0+EEqcsjoDblMiHdw75ojp1xE3UySCAfEoSwG7LMBHoYTGHrI9OJ9v50vxMQYw61LvJ1saWSdYHVQTt+dgWiphVk5ZjdLBVGuP5imwfDpU4eJ9GNYEuvHPnncDly7hBtcl9PK1WdTp132Ar0i7nQlvNLIYC7gWVuchqkI/1SA3V4sYFS50OTnU6WU4kLqXWzSCycZRX0+r+/mD1u9A4Cd/AOdu1putC3Fv5Tt/mPhsrYYTWsghEwyRiUFCDgcYtdHs9q0cIZxBA386RgVax0y9b6cdn6iBWerwTJzLPmCLVBA2gW5qe7u/KbXEIVUOJ9WVSn3cXF/OFjQBskPdLa4DQ915GLaWLEJXJjRRTErUINul3WAwCMKfMX0qSfKJJWw4rjZCMraFeRD5Sgq1P284/9lup+RtrmEQM1EuxpbTgmLt0CdsGhjIgNZBIbeMunC+uOhYHjcjWOtWFBUtj1Y5KD6PwDNLPpQST4AwCyL/XjDA5EgRytZQLq0lSjXMDr9pXA0KYg14p96Ac87PhYfK3M7mfCaEeRro9L1lqQlFCv1j4SCwlHBGKcFiD6WrHapJgfnHR+RF0mQood5zq7CmqCKypEHRn7lId2eorDAUBMQUUxvQTTGVo3FEzhsmN80XeXFp6CGUQekNyFIO6eZ3oj86lqp19CIOgbecQV7ioCOfY3wO5yUzwIbQudQ2VGmyFvqgKSTMam3dTCFwSy5CSVY6zd9PYMon5Xq9vH7DAVsQFgL9Ba8T5XbIP0JVeGwVxBRUzOk6Ez5eNKVAMe5epN2wqF5saRGMP5N1fupTNr2yiRx+X0CqluFDVkqu9jtTOPMkWFkpllPUGlwRioAPqOHy8oUJRxiZRRT8WNJJELGx1ly2iX+4jYgbhkahoQlDGS6NiRseZ7kyvhwc8d+fG56zUa1PoS0tLSZLaVbStgxA0Uw0QHqdA50h3/QuIK+ITsz50nY2qxwvxdLK229zM6mhvI/65RCN2TbqYTVG2WK7O8rWBjAEaJlEBNpIkKwB0DsAEUdNognHe5Il0UFCW0BPf8vPq2cxEFiQyGYe1i2SRu/EqS+HusgvYjOCm9gOeUdrGtLjYv8dWK5oQBgUkljTihzAIayCbB7RkpOugUwYNmIt0AanXk60OvBV81+9SBYVkirUxjYsX02vJu/cKmDMFx7lsIENAY5OoCFQVYDNcHkjmUBXIBzlT0sBmeo5ZziPkU41wrytOaHmNDLDiOj61NoB+Bt0sT5IlD1FIKvOBefoi0ogf47l0g/FoGHi8Ca/sSJMK6jnqiH5bgS8Ag3nGKEEvsk3E5j2i6i3OGCiK0nSEuuy67CMVoGESDQ4VtgFcJkSN70QHMvfSj4ntDDURokyiu7aG3U4n83ZqA5n6cEJLJg7Xx1OKeAcFWXqqJ3K5uAIQ69p6DsCMZzr5AehAzbNnc/e2jbRkambnMtj+NIN+GKma0AummBcKX6JK+3G5eNvGC3XF1c9X19GgjEiPUcQUSkodVRmuhRCzAN4OIAHwG1LKAX29EOLFAH4NwGMBfEFK+d2uPg8kk1hKklTNwO0Vjo/pQKuixgmKoFhVSDTtBvJuqKZYFpN6iEsC6+jbMnw8lmIi8Jemp710/5xBFqGKuAf9PLoFaSH4PWR2nulpTCDNIKCxDqCrmMgqsQcFqd1sBFXD112VSha8D5t0cuLEoLeTaWz+tym629bWZf+w3WskqpAkhBAJgHcCOI00I/dHhBB3Syk/Tto8CcC/AzArpfysEKJQo3mwmASt07CyktXezVwSHR/TTN2Vz8YFOzu4onb2RyJtEk4sL7trHhNwIljGp381gDDrO3b7ixlAgyod8HWtHWZgHFqtgfFynnN0HSRJWk9CSWfzZD6aQei6GzO6sBYZx7pr9rUDxFSvA8xusj4SBG/DmZaP04huU2F6cI0KbRIvBPCglPLTACCEeC/SaqEfJ21+FMDvSSk/CwBSysLlfLCYhA6Cs3x8zp3gmBTpqR2tVu31rrvEzuCKn9DxKtoIaiqoY7JJtAFMXbrUz/nEa0XbYmAUtBqlOznZrx3tU02vwiy0Q2UQNmiCxtY+T2kDDBrIZ2hEfwyKmInJ0F0EKjloo7X+TdOUh8CUonwECGAS1wghLpDfd6gCbkBaBfRz5NxDAF7Ern8ugMcKIf4IwBMAvF1K6SzHc7CYRBG0bnWIye6uRvi6fXJiOJAOBfkSsRpT1NgNDOa38iXmt94aRORsGWpDUCdzcKmCdpMkVSHpnf/Zs1nKk8tAVtUQIHYOzTxmZweko8xDrigtjU1N5MruagKNuObHTMSbb/qK3rNN9cVrWfA52WwSvJZGSQQwiS84ssD6VAZ9DIAbke4VHg/gT4QQH5ZS/rltwAPJJHQaZr2fzDxttPqJ7jDINcABiJc4AIh1MzVdZ5J1B1RLhKDtJkmafddn19dq9QnAnXeGTDVbLxMA5g05p0yoW3rYA6wxQprM7Sr7wlSrhTmVwG9pf9+t8tncBNj8MkmCeKRlzNpEcEM8iExlTU11JHzLmPrAFkPh8pDiBnQKXkujJCpSNz2E4sqgDyFlNFcAXBFCfAjANIDDxSRsH2OWzMHw0hvmUB181U2xuAHADPXVJx9kUGoSnqa9gFBT1ZdeL7tJgt0CBjG0rK2uiGsT4+S1uB39DByjz843UzEHdSThlehsDMTXtbQo62tIRLQvkTcxt9A+DKiw6NBHADxHCHE9gL8G8HKkNgiKPwDwDiHEYwB8PVJ11K+6Oi2cmxDi3UKIPSHEDjm2IoT4pBBiWwixoSzmEEJcJ4T4mhDiovr3rpA7LIsjvV7t+vgGCmoHdhypiqPLDZwGdBcXMYG8/rt76VIW87Cg/s30esDly+guLhZnIQ1A9/TpgfEpttG3jWwkCTaUCsdVN2SYtocNR39XamDWweCEUteu5pHSrqA3kwpH7/a1FMAlGFrGVMMWhFck1fA+qKRhYzolS5cCfeN10T8XpJSPArgdwAcBfALA76hqoa8VQrxWtfkEgE2kS/0+pG6yTg7nI0ncCeAd6NffAYAtAG+QUj4qhPgVAG8A8Hp1bldKecKj38rhzOXkW9yngR/U89wGsO2ZI8iosiE7zD9T/2fBkhU7G6xubXl7JlFDuk1aGrZxWhc1ogkGNXM+C+Qkpe6lS5lNgkpGQHi5W82cnPEhobEJHCZXV5M04OtBVcW5IpsDtceMgQssAEgpPwDgA+zYu9jvFQDe6X0LmYSU8kNCiOvYsXvIzw8D+EHfAeuEkwA0zKFa6OdZkhhSxhGYCCIYvraFIlTNHELyKtlSxk8kCeaZy7Mm6nPII7SkqlfwICfo3INpZ8fNCGwShG5DfwP2pIC2udn6DgE3VnNppgQOe8T1qwC8j/y+XgjxZwC+AuAXpJR/bLpICHEbgNsA4Nprrw0asOhD1IVTAKLDvpokCeXltbuyUl968YKstTHQu3ddAjTz1a/oHoJrIxhQh/RwpNfzZra5vFqkbO0eUKm3DYXT6YPWo3bZBFott1rGZKPQAXMm8Ht13bvLaA/k8z9x+BD/Is8tDxxaJiGEeBOARwH8ljr0MIBrpZRfFELcCOD3hRDPl1J+hV+rfHvvAICTJ09yNy0nuP+9CQPE8WpgDhqKcDy8suKfUiEU6sPqrq9XlpJa2wrmVXbVqu1LM71epsoKJehVMAd6fwByjNa3+l2OYRJX7+7RoyP18x+Abx6nItiIfxnCzBmaz/z0/ZhcdUuiQsN1LYhmEkKIDoDvA3BKSikBQEr59wD+Xv19vxBiF2nwxgVrR7G4fDnntUE/rOODra8uSUJhGClIyjIIW3LA2hwQIghLVdKDVodm+Z8MNhcfKdkKHuehmdDOTv2xQzwiud3u/x2iUjKhaubHn7stapsyItM9VBh9fegkCZVE6vUAvltK+VVy/CiAL0kpe0KIZwF4DoBPVzJTE0LcMK8i5jBM0CqAwemlgcIo+spBxtOODi5bVhkGEVujwlX9jme51e2MiQfrzjJA7QLcA8iVLsOlmgph4jZpIlbCMBF7fl81SBLAAWcSQoj3AHgx0nDwh5C6Xb8BwOMAbAkhAODDUsrXAvguAL8khHgUQA/Aa6WUX6pp7tmL42UwtzForIuGIoDn9/dzO/M61CEHFjr1RYWps4eBeVbIiCKGOXQvXcKu2rBMlXDddbn98rlSRlfZmo+BJvR0d60lmSICy+0O1M4xjAqTIdfWYPcZ93oSQmmKRoqTJ0/KC/fdF3bR+npU3YAu8XlfNdQ/0NhNEkydPp3LkKkjvG9G6o2i1VpzvhHAw8aZM/n8NjUh1mBrDAAbIqzEvoT0oPfu9yDci8h3DB9UyYCt6UpoQJv2XqKSBVfH0OA6utvnTIKmwrDFV2joVDw8j5M+phGrGqIMi87NcH8iSe53pMyw4tuFkB/ybPsEIGqMMjhYEdf05bfbwTtXwKCamp3tq6JmZ7GhmMJlAGD6du19c5n9P5YMAqhXD63fRYCXE03w1wZG+tzOGwhxWdvDcfQdJvaGlcTPgiydPlI34zIMWRvcB9IqhngYcVD1kk2y0PEHvh5GdB6c8cSuNSoFVRAPYcM4SxIHikmsKqZwc6czuGADQD+eTFUCAJubmFMG7t2tLUytrWVjToLsDHd2UimkKPnZIUaMFEcJ7TqALtFFhwZ4xUIHhvG05VUYp3WwG70udEdvYl6xoDEh56enM3VprKq0MF6CG3o1igzXNpdUrq4ywWR3KXK3rQquBISBGGfvpgOlbqorxfKACI00C+Y+8llKdSnJYxisVaBVT5cRr2aIgc8zqUP3X8e74G6gw5p3lbEPPPV51vfkpFf22o0kKVV3w4XY55lTN1GJhEuRvOY0D6Yz5XLS7WkyP1MfHKY5UNUXbWM75gN+j9xQT/oX09NRqqAbhZD/n2fbxzfqJjvqzMFPM37asId+RPAxdm4CwFH192Ugp6uNLXfpAq32ZoKWlK6srMCZKD4Sdb2LgbQqFRd4GfAUqiEwjhP4XD86KE0RWnq/w6gxwb25opgGV+tQ2Ai6KbDOdwz+25QfCqhOvcTB7SMxaUE8MM7qpgMjSVT5EdHdHi8Kn0EtbK+8NcMG+eiWkiR/DzR1wMJC5a6/vrUkyoCnqahCwuCMdSyKAo0Y3IkDMEvBmrncDBakasqtZHJ9NXk+cdjOhWRzHTFiDdc3CiH/xLPt4xpJgmBnBxvT07WI3tvsb61HDiY+Fex0fZnQUpJkqdA5kea68Cyy9+hRxMAk/dh0+XWA3x9NswIgl47CCUNUfpRrK7FN+SYIPAgwxRdlTFh7DZG1fQ/SUqdGaGLuineok9gfIGZiwjhLEuPLJFAfQeoSA95ZWAiHWnClMl96YM6z9vYCSBSySa+uGMJqTEAbA48zKVJvDQNUM7y0soKui0lYgvtCGATPGzWv1IfjIGVohklLvFYJnr3ASz3lWwdCwyU5aGgDtCkrbJWqSJ+5uMaqgEE1TMIXJFNkiPdMd20NOHHC/4NRHkz3FDSrC1nCtNOn+2ktOp2Bj5CK+euAMwnceUUQb0B8Oo5cRbj19dK7567OwaTUGlVKhtoLaOb06cxtec6h2w9hEMdhf4bUcMuvm8BwJA2q8tHM7Jy5aWlsg9nqeFW3OkC9hmyFhSpIqpfBZWeoagwHDm3uprqwEeFaCSD3oinx5ekNJoBMTz8H4OgIdoY5gkXjBhh0RDDabSuD0ITpAfV7EoQJsdTRHOeTBDO6WNDmZo7Axbi46vnMswJEtNZyVdBE8RyJZdk2SVgBzMFL3UjW2SkAM4uLWFWupvOU6dcA0/w0M5vBoARQFUOet0m7pupsLsZh27GH1IvmfdC69rYSpQcAjSThiVDRmX809PdxC1HlO726axgYodQh1CVyHarMJHENzAi1g2Dr+6EGR9/0DOdAiGxFzJIbPo/0es751Gnr8GUQE4hzW85UUTQbq/6DubxGR6UHzKt76RJw000AgN39/eqeqSshng1F3ky2OAYe48BVTFWlxTBFZceiigR/wpNNjMDRaKyYRLeiojDAoC3B9rGNxGuJEA9XbeHcudnZvnREnlNX66VNKQ9ci3eyTDiiGTFeR6NkDhq1xLXceutgoZ0AGDMZF6HVytbWFFSwImqoQ+6b5M6V5I8ed5UaDXWXPahomIQnlpeznZiJWdC00qNODjd0bG7mUqNTw+3As/D5cFSqdW2HuAX9+rShevUydah1+c2q1DRB6qVI7y8v6AR3d94ZfOkEKtq86Iy3LCVHLcb3IpWRK4ZiXDBKFdXXeVol/vEf652HAePFJIDMtdHlvVLrx32V4Wb1/5G1NcwvpE622itIGyxNTEMT99WtrXI5orTkVAGTCGYQHhHQ0dD3pZ5NO0kyDy2etZjCGrdTBozwdXu9ATfnXFS1r0RflAKcn7Ol0KAMhif+o/2Z+rCpi0K9rWzgUpMtmrvMWEIAj/EkxY8+Gj9OJMaPSSi1yZVOB2fRN+iugxih9/dzu+oGccgRToPdwyVR6Oy4pZVW+iOPdVhAZGBcnQzCgKleL7dmZ0gWYxo8OA5Bm1dWVpwbBKvE4NLvnzgxaFg2XUfVT3wcU/912BboPHmRIVfNiVgI4S9JjADjxyTUyz7SbmOBJCKbKKo8d7WBLmTf4DIg8wZZLWn7MZXgLIPupUtZ1G+IuiuUQYyNmrLdRpfan4Y8vNVmp9bSvFpfq9yeYSOImgnYgulskoQ+R4mxj3GaVsCzzYe2DSHkNkO7LQ1JFRLLQWYSQoh3Iy1TuielbKljTwbwPgDXAfgMgB+WUn5ZnXsDgFcjLTr001LKD/pOxpjcjHzouQIrIYRx1ChZOnU3STCJvs3gZvQNvrq2RVfrvi9fNnpPAWnwoI4NKevPT99Ft4Jd3Pnp6VqZg8ZYpVkhRCaL+6izbCshZqtJkqkap4gb7x6AiZWVTEI0vhObRODCiRP5XT81VrtShXMCr89pBw1X7QhfcGJPf9NU4a7ryzKKg8wkANwJ4B1ALlfcGQDnpJTLQogz6vfrhRDPA/ByAM8H8DQA9wohniul9Fr5c9RdknjzaOT8+FdW0NUvzkR8qf/0MGFaMCXzJ+ngqXnNbNptrCtVhWYDWXQx1S0b0lJUhRzxKLGjijGilsm7NMdiOEYKTeCWlzFTd9p59m7mmU0mc+NlrrvGOCLTe6ZxCryd6ZsoUk2ZxjIl2It1iXVdZ7o/XaOiDsP2QVc3SSk/JIS4jh1+GdKSpgCwBuCPkNa8fhmA90op/x7AXwohHgTwQgC++av62NzE8SRJq74h9WiietIJIJ9emL+8gyJlhIAwm0w90W5jKUmyZ5NFZwO4sr+fGmhVzQwaqDiMHEwDmJxMXUMB4OLFKI+mson5zqsxZ4JHrhg7O3035uVlZ4K9WnDvvebjIbYayhS4d9P6ev8bNEkctK2rTCn9tuluXhu8eUQ2MFj5zpUy3FUjm8+b21VM/cfiIDMJC54qpXwYAKSUDwshNI16OoAPk3YPqWNR2AawTXSidPe6hzRgCACmTC9pVJLEkFzotNFTMwv9bCjx54Vl5ojIv11RPArQ98Mv1PcTAnQlUIKoKmtrFqlNKrfVskY0cbPkkaJYYirVYTAK7kbOS5Rq9dc5MIZqS8uhPOOyY6Z4HZPaiBuH6Tlg0LZAf3NphDMel5HZpTJz2STqkiR8vZtGgKpnZooIMUZ/CCFuA3AbAFx77bUD530+fL1jnlAfVpaO4ujR7KPs3nkncPmyvU5v1ai4BgKF6Znw9BmUSWTPg0hjdRr9i9J47xI30BDUldY7c/NcWal8TexOT6dqQs0YWYS3zf6yh/SeeILBMsjWAUtRY3t21DZ4HMjbuGzrut0eJPZld9tliHJVkdkUrjoXZXEIJYlHhBDHlBRxDP01/xCAZ5J2zwDweVMHUso7ANwBpPUk+Plur5cuTqUqceUS0rll6M6wrT8A9ZEOzaulRknCdg8uQkkDqWjQW5WSRCGUVBfCIIZZ76GOtTGl8x1pOxIBVQkOYz6m9DWcoXPD+Rw9blNBuQy2fCfP25riIkx9AHnphJ/n0oNuT9Vdpjnb1E22e3LNt3GBNeJuAB0Ay+r/PyDHf1sI8TakhuvnACiuS2rB6v4+9jz855c6HXRPnOjreNvt7CPU6pjavUeGDO1dVBinQAsPtdt9hrG8XEtCOE58hm2YjsFSkgxEJfvgfJLkDc7r6/kgNMvaLWKWVUu9vKb1ru5fG84XFvJquLU1nFdzPwdghifRM6mPuCrIJVXw49y2wfvQ5122Cz6mzTBukgZoLW2T/cJ1fVUYYyZRWJlOCPEepEbqawA8gpTu/j6A3wFwLYDPAvghKeWXVPs3AXgVgEcBvE5K+YdFk7BVpquKIHACWItUQfzK5yMIThAMnl+HAeNSLa5ofWh7yllTW6WaWd3fT9eBAs2f1Eaapt7H5bd76RKuqGu5jckb6+vY7XRyKcZtzJxHfJ9Pklx0+MD9akKqjcg2jyaex0oTZqUpyJ2jtaptNR50fBA973sdh+ucK1iPXRdbme7k4x4nL3jmUhOf/ez4VaaTUr7CcuqU6aCU8pcB/HKZSWnE7khzCfCY+Fwb1EKpnUEAwOZmpk7zJTYatHRrEZQpMiWGSn3ik0I85r2NkkEsIIwAu4o/nacG6larv2snmFpby0nI1EaReaMRohTNHDTabUwxItdlLre25z/T62HfFVtCVUHcMO1yV+USgf4dGvRmqnFdNiralXqjLpvjQZYkhoEqalx3SZUurXPVfx92OG0Sp09b4zRsBtIlpXIw7p4CpBifHEBVMocyRX9C0oXTQMLjAHQmsRdgsPRqLPSTnxrGpqMIPoTR5Fpqa++yQ9Br9C7eFjdx5sxgSo+i8TShN43jSomuI8ap6ou1j5YkvuEb5IVnPrO4IQDx4IPjJ0mMHJ5iGBXnB1wKCbGqJYHaCLDqSUBXt7b6dYkNH+4MzeCqdc8OhKi5hsUgMkZXopyn9ioC3AyDz4tKZFVWh8s08+R+TgGYcSUmXF/HFSWhHGFMn96TViGZJL6Bd3LmTF8qX1wcjku5JsQ6gE0j1ruo6DqfjAG6jckeUwUaScKNKiQJG/TCHlo6hmGlG1Yf0u70tLfX0CkMSgxapcSJipWAV2QPqVKCGOhL7wzX17O5hhjmndLnzs4AI8q8xtrt3LkJ9B0L6NgLSNWE+ljXUNFOqwXnxkCSoK7lAwyK7/Z9bBKU+Ptcp0GNzO32oE3CpbKKsUm4JBDDOTE9HSdJPP7x8sJ113m1FZ/8ZCNJ2KDTGwOBXjhq5zM06WFYH7QaZ6rXwylmXKRoI18TmeI4zPruicGmfSh7SEy8A1C97cHYn971tdu5xHmm8qZGcGLQajnnRuMtKPZgVn8NqKTa7SxVuk4jrtf49vR0Zg+qJNNpGZgkGGoTcM2Pnt/Z6f/NI7X598Ojqm3jh8Dwfo3n9LzpvHw9rUIxxpLEgWESQKSLplpkh9lG4VJz3AP01U0Mc5a6HDcbj/YxagaxAOBIjTmYlqancynq6wZ1BjC9S1rG1voMXRIsJ7RVSbshifRsBNUVMLe+blcN6XsweUWFgBujfe0oVUdfV8QkhBCzAN4OIAHwG1JKo35QCPEdSLNj/IiU8v9y9XlgmESsummp0ylVq2Bs4Vmacg+wGuZsdTnWUW3q6qqlhyO9npf9pAximIOv4bx79Chw4kS/HC1xtCjCUpL0jdr0uSqCpb2pcud8YxY8xu7yMam6qYj50Lb6/fH2VOLgOZhoHzyTLEXRPMpETlOJoipPp4rScgghEgDvBHAaaWDzR4QQd0spP25o9ysAvDJ0Hxgm0e31cl4lIdcBGK8yiVVAB8V5GGtXFZOcX1iopNhOCFGrmkFkbE6nRg8wpNpsBCbwFBY+mGfeXNS1dilJ+ilRDKk6KOFfInmlllZWgtRNRtViRTteZ5laU/QzJaiUoPNzdFduyqXEVT4aXG3kS7Rtdg/T2Br6nMnjqiyqi7h+IYAHpZSfTrsV70WadPXjrN1PAfhdAN/h0+mBYRJA3zsjSqoYtRthXWi1cj7vRqOqhZDaCLiPSs6HiFbFILqLi4PeJRHMbhLIsgpvFzDWmDXGvbnOAjlGoBnTHDBAjKaY6o/2lSVzrCvBnC/4OqJR1jwuwmVnoMd40SpO+Lm0YOuXx2nYxvM5Z0vZUbUdgsKfSVwjhLhAft+hUhwBaTLVz5FzDwF4Eb1YCPF0pEvwn+EwMglTYFIRNpIElJwMLRXzsEDKYJqwtLLSLwrEPgaeriEEw2AOGZaX86kTInEzkEUvDwu6HvvS/n7eIaDVyv/2YHoDGwD6nIfgVWfMUEuJuGuHfvFivpqciTno/jiz4VKI7pOeo7maiiKuYwLr9HypV9ZobBJfcHg3+SRY/TUAr5dS9oQwNR/EgWISWdK0ABtD2XxEWc4nGly2s4ON6elsVzrS3R0rg4nZ2WyeS51OGkxnmV+ZSF6bJFGGQdAEjQP67wo8e3L3O6w0H0S1xAls2Q0LdWE+izQqXtcMGYo3n0vFxFU3rtKfLjUPkH/3PsFzun/f79KmpgplKLGoTt30EIoTrJ4E8F7FIK4B8FIhxKNSyt+3dXqgmIRPSoggeCykGa0GYItzbAPySMrmU0Dpqng2hNSP9jbKkiI8tWAEOa/oveu/ta2CJp2Mdcyg7rT0+5gjMQRLLq+oAMxzmwRX/bjSVvDfdNdv69MHPN5Cj8U9o3zVTTZvqjpsERTVMImPAHiOEOJ6AH+NtEroj9IGUsrr9d9CiDsBvN/FIIADxCR8I4yLQHeo56enC7PCbqhcPDz30wapmjdKSaKIuDwQU8SmgHlWKT24rsm5LbsSrXlidUySImqJ5gH1e6aOQSij7XTS9VpWcllZGWTgPD237f3wetTUu4nHJYSk/9BEm6ubbCk2Qr9VU1baqlGRd5OU8lEhxO1IvZYSAO+WUn5MCPFadf5dMf2OP5NQaTlic/KYQL2kYj/QOZunxzAirgNqV7uem60KGq9aljtXM4Mo7CdyVzzMLLJF4HOpK/05tXlso7/RMcYMxTJh2t7mautSJfkQXldEtM0NliPmm6TMxqd6XRlUFCchpfwAgA+wY0bmIKW81afPsWYSdX3YlHBG5e7f2cH5lRUcU+qRzFYC4omigr2WtrYqEfVptbBgWJKScQYy8LwdsRijzNqa1X/QsH2wJO9QGXTX1rLynC7mbEqvYW1bIs+UL4reL2UWet1OdDr+kqcpxsHmyWSrQ8FRlIyP92tzj60CvuqqsuMf0qJDtWMYOz8d/OQieLb0yDY1VRfI7Y4Kg9I8xeBYBnGK9m3I569TnfAo66F6L0XAyLiU4Vb7CZWRPjWTzxVsAoAkyW0AKDZCkh+WYBC5zL3qPZax19F3tgfkqumd970nXnSIn+NqJYvHXVbYSJ8rIr6mfE1VMowayxHn0DAJfwxTLaCJSE6aYIFLzsSAVETXu+6CjzVX64LsPE0pvcs+i1NI9d5apbbR6WBO35eaZ5YjyLPPEAbBy2TW9W4ztUq7jcudDuYtRDwIFrULvf+u1sFrorq5iTkmfdH64nS+8yWM1Tp1xwuSpLLU5BT0uUXXRC9Su7oC5EJQVEeiLA6Wd1MtiM4CK4T4NgDvI4eeBeAXATwJwE8A0HL5G5WezAqdBTZWpaKzUwZnD1Uif6UJ1JR7LN3N6p3nla0tHOn1cqkTXDmlyhJV3ieN+g19zqHMwadtG8PJjeSLKvN6affUIxYGGVMuNqv7bompoGOUqa3BoZnwfK9nJ/5FifiAwapywKCXE0/1QceiyQC1KkozCVMKD18DuG+9jAKGEV1P4olPlBf+yT/xais2Nw9OFlgp5acAnACyXCB/DWADwI8B+FUppfcm5x/vvx9XIhhEtoNUHw1dopT4cP1vtjtSLz1LW1FRlk1+H3Rn1t3ZGai/nQMPMgqEq8gQrePsnREV1TEI0/mu2oUvbW1Z1Th1gxLzqjBwnzTflCKMPu9g4Hk6gu66a2uZJHsDqqtvMbIAVJNNwmWDMAXy+Y4zSlTk3VQXqprZKQC7Usq/8o3io7iMuIpefPHSvDVdtjugBIirjqr+CLqXLmFVMSW+mztPddGGhawZVuguUEf2OuMiAj+GUNtD1E5czZcyzG5BFHlV0JuFqhmEFcx9VNsWHkD+fedcfkPAAitfkPRrcVeKUE8oF8Eum1ONXm/ryyQFmJgNL1FqO18HxljdVBWTeDmA95DftwshbgFwAcDPSSm/zC8QQtwG4DYAuPabvxnd17ymEk8UDU2kMwZgcZVz1k6IhM0oeRypsZG63fJaw5RhhaibtNdNF7CKz0H5kkbpvTQEBjGB0Vco1M4PMyCR/Xo9VBlhrlWaEZLawPfhG4Vs8maiqVVcCf2GIQWYjOx8vsNKCjrmNonSTEII8fUAvh/AG9ShVQBvQZoz5C0A3grgVfw6lZTqDgB4thByI5BBnCo4P0/cUgH0VVKMwA20K4uLF636YKMR0LHI9T0GqQ1o0FJk5HKwBMEYXVksoNzuVxM20zvI6dfHCEVBnWWQZe0lUht31qAS7ASAefVOV/mGx+SiCvRtAqb1bDrOpRGT5xMHJeymehIu+FSm0+dttbVN9S3oXMrgMDMJAC8B8FEp5SMAoP8HACHErwN4f1EHT7rxRszddx/mAtImnIM7EC6r9csW3EAq5aqrfZ04gflLl7ChPq65xUWc1/EUgYQg22nOzuLK1pYX4VydnsYN+vrlZWB21jvSOFp6qEIEJ+qVsuoRl6qu8k3BAYGJkdP3re1xSzrAsihldhFozIQpfsKVJdZ3J++70/fN3sqjuOkYJmZUlaRx2CUJAK8AUTUJIY5JKR9WP+cA+D/JzU0cDyhRavPmyHmOqMAraiOopTqdWjCr09OYJOMfrUKFdvYs/szTr34Pfcnj3JDUS7ldqaMmM/dsugfVRtL7gFZ5y+pIj0iqoLmbdBaAuiQcYxQ92c1fcbxjPbdJqGdli0mgzIASWp+NmCXgc2As7vlE6plHVb8zwRUQaJJIqtgkHVbDtRDiG5FWQXoNOfxvhBAnkKqbPsPOFSLGBbYNFfVMXuA21WsvLOAW9edZIOfXjjNn+ruEkGR4dBdx0025SFxK+KiqaMbhvujC6vR0FDHV9ZJdqNL2EOrZlCureuZMph4r7fqrjPir+/sDz22c1E1UxTSS+ZA1zO0XmvDdAuAu1eayvobu9G0uqLywUKvVJ+I8nQbtk6YULyK+XM1DbR9FjMkkrXDDNZVAXLaYsuqmwyxJSCm/CuAp7Ngry/Tp0idzuIjShHZrVW2O6Gt4w9iMo3RRXL6ceVPtTk9jG31ml5NqIqvCzfd6uBIRODWzuIhzDkmmCgZRmfuo4T3ExnTgbPqkbul0cs/sMNY398WAS66lGNUC+32k18szc66/96kxzdVNrZa9LWc2nAC71FT6Oi5RuALuQuIkuJRDM9CWVT0dViZRB7TB7Mr0dCFR5KmXKYatxtC4B2lK5W1FnOd6vYEMsjE40usF10BweYtVJUHcg8EMuSHQao4jxHajEZuKZFdtEO7hJ2Zna0udfuBg2RyZGH72jriqyQVKqE21JKqwSRTB5spaBFP6cX2sjjQdh1mSGBecBawElBevsWU+jQLVhyrsIU+cryQJjoxBSnGNql1bt9EPCtPpJiho9buc7eLoUWzs7/cZQYXuz9pBYJ6NeX5rq5603AcBfEduU30aVCda3YQkSTdx9LxKfIh22+5pxKOjd3b6Ncr1HDTxXVjoM/IigzNXW+ldvlZdmoLrfL5B05jarlGXW2zDJAJw000AgCOnTwMFXjlaND6i0nLQhaCJAxdqb0GFIItp1+Lbfw+AOXVPseomAJUszioZRGb0pRX7DKA7Uz7+HMxSCE9V4js3E5PKggzLPPvDAE4cbc/DQEQn1f9zrA73gERgq1JnUhlxmwQ9x91qXaA1tjVM69FlT7CBMymX6qssGiYRALJ4u6wU50BT9f/2/n5KbAwLYUpn81SoJbp2ZwdTur7EykrOz78yz5lWq+/GePFiUMBZFcyB9lFFARsXeF4jmhTxOFK3Yh1Xsw3CsEw1Pq525lABsid4663+F7nUSRy2KOfYjZGrcJHJ2G0bp64iQxxXSVqOenDiRJat1ASauGCbJK+bIz7hS1tbeWN1DXrpKysrfZEczM9/djYzpJZVN11RbrB3FbSjqDxyemcnJeA6Oy6NOyjyKDGoOHKRxjqvFBmLYxtIM9kS9VSW5ryusqcNAAAbKytZFmEjitRDXK/vauML3/iFsrYEzrhsrrkxaGwSJbC8jLmAZGiauMy5XlhVDILoQ7mBPZfKoEKGdMSia7ehDIMwqW4ApBINP16Um0cnUtzfxzyLtNUuujOuhG3LyxlT0HEYmjltdzrDy73UYHCXHlJZjoJWfLN5Kblgiluwpfeg53yYhSs3lS3nU1k0TGK44F49vJRjVtA9due5vo7znY41BmEPxBZSR1KwgkVZhfQwz9R0HDrAimcbzTEXFUHfVc97D8hVQKOFjlaTZHBMHc9yts+Gs6AwbTCtCKtJknnE5Z5fnUndDghynoKuwkIUVTwz7XJKCTsn0qY4CdfYPvPi6cuLUMW9NkxitOiePt1fXFXoqNttzLTbmFGL6Mr0dObBtDQ97Yw6rgStljVZWyyD6BIX1HNAoQSkU39wRrmHvgpJnzO54u4hry7cw+C9ZL8N0eZXdEJDbkx1gQZZTU72j584gVtgSQeyvj6wmdD3dwwBqVZMAV6xdaXHBZRoF90DVQvxlB0UIXYAfm0VjIpqIUyuu1wisc0lBI26aQxw9my5l2iD6vPI4mI9/TtQFXPI2jBCfj5JMKMlrnY798EV9aczmc4EGth9kRt/fx9dTfBtLp1A6vHW6WSptFdJhPz82bM4sr5udsM1SJtZpLSuD+GBK53OQB6x8+rZzBwkJsEJL5+7LeqZezTxa0y7dlNpUoo6pDwuuVCmwIMAqVRTxsjdGK7LoYq01LnU3Z1O30uozAJbX89UHjz9w9L0dN6IXvFCjq0EF4IHQIgXnT+pf2yF/nhKFlCy4Tj6Hk3rgFs6JHM/jr4UABA1ysWLcWnqA9SVRwwJ9maGmWzQJ1WFBVpVOwnYCbOWKqj7KgdNy+GC7/fCYzNs0kkoXPYxV5syaCSJONRVtyCrPxxr8FT+4Xo3aoruzmpHmxKrRSK00E+Z57eHPHPVah2ao8oKTSDa7SzBIlh/ZbAN4pYJ9FVHJmZBVDqXAWjl1PzRo/17abeBumtYmIjKsFwsgZwUBeSDHH0x8HSp+kX/poyA2ghou3Y7i4fCvfcGzWGYz8zIzOpSIzdMIgBKhK+yAJENPjvyXEoCDbVT8U394apj7YthSA/O8X2YQyB8EhDakJPctH2CJAnMzpGsryDjnSP3s1FzESUrfCOCSdnToowBpvV63nB/Z2Eun3s+SfxrW7iS3pl23rY6DRwx0dEu6SHW+6jOCGuKxiYRhtUhMAcblpIEXa0CaLczDx4AuIWk13B5NhX2H8EoRs0gyqC7tpZ97LTWuL6HY2q+96DvFaU9jWgqb14kR0srq0nSj6I3qH+oFGMrBhWbI6pS2NxAW63+hkn9n9t0UCK2vp4Z39tJkmZGRp8xcgZiSk9eVKelFHw9o3xQ5HZNMSxiXwYNk/DDWBA4IpLPnz6NDWUgpjuzmbU1zJw4EaU+yRG7Xi+fttzRNmvv0W/W/vTpoFKVVWBgjqw2AC9+M6V/k2d5M1Jbg83SsNTpZLvgPfQT+c0Z9OX0HdkkP125bayyxBKjKE0tMiBJ0PslQYYPA5hkKjTNQHTNltzzCCng4xMnwVOK16Gm8Q1ic43vyjgbMu8mVXi9+Pz990cxCE1+tBtiJUZuUg94Y2vLSqgoaBqOmLEAoKsMi7Z7CGEQtG2XBrMlSVaZrQ6vIy93VIsBkBK+qV4vTclCGCfN45S7P5C8WYYPVcdoONWXOzu11DovA/1+uu12Zvuan51NCTvZWGhV2dzaWu6dnoNdlcclJx5HxBmRdncuVDgWGfIp0zh71nwulthyryRT33WirJPGOGyQLRgLJhEL7qOeEY/JyWgdOvV8Mu1MAWS7Y9q2qz7cOnbusQxCz03jFqBew1+VeZJ8I9XX1zNJYt5w2sYcuqpGBwCg1RqLIkQUVOKaZ0yRYo6uQbLJoETfx3a2Z/kb6Ls0D6htXOkvdHvTORpfwWGqJ2Hrj/fNz/Mqdib4ljY1oWyOKY3DLEkIIT4D4G8B9AA8KqU8KYR4MoD3AbgOaWW6H5ZSfrncNAfhVA2cPRvtrZLVpl5bC1s8iqhNkMjdECx1OgNzLsUcDMhlZGWuubSo0SkAL4C/dHS8uEllGLjPzU3c4goStAQd0vs1GXBHhd0kwVSvl7fd8EqKZMeuy/LOE3sPUL6eCmU2A+ot37QZIXAZq31dUn0kCc5M2m2zQd1nvlVKKIeVSSh8j5TyC+T3GQDnpJTLQogz6vfrKxgnQyFBbLdz7n5A30i3h5QIAmksAP2YJkAS1vmkKTYsknlmZI1F1QxiAGzuR3o9TNBkewsLhanao8euGFp+mTKd1BKJUlPtEuPtODEHDS0d554rlaqYSicnZfR6mfqJynQxDCNzGuCpUmxRzZpomnIbmcDTiofGcJiItA/R1jYVH0bnSnfO25XFIWcSHC8D8GL19xqAP0JFTKJMth6dF2h1ayuLJD62spJLDXEzEJbi2AL6sYZ6zgQbpysk0vOMMJ1i6TXGFSGpMVyqqQMJltqjKk+tLM6HZ1F27dhtKErdTWtIULdaV5yCLT2GL0xj8DlWQAu8cJjVTQAkgHuEEBLAv5dS3gHgqVLKhwFASvmwEMJoExRC3AbgNgB4osdApYmh2o1R4jC1vAyQFOPexMYDut6CT/Zajdqlh0Bof/kZMn63oMjQuEI/r/kDOHcn2P3o+9xIkr4U0G4HOyroj3beVKPDBhvBdhUB8iHyvkwppJ1Pqg/apkTEuhcOMZP4Tinl5xUj2BJCfNL3QsVQ7gCAp6VMZmSYM6RMqApdT/XTuMc+jJv3TzDq/shHBU4Y1e9tpFIAAC+1IYdWUS2trKBLVVy0ZKjv7tpFlHUCRV+JIERy8LExmAIaTbDlqNLjtFrxUfuHOXeTlPLz6v89IcQGgBcCeEQIcUxJEcdQwobW7fWCkqjFYAGo3UXOVYZz3KQHG8bN+ycYh5FBAFa9PGXqOu4kBjyuBYCd+Lq8lsjcCo/x8y61k+971X3oRIO+keLDwhhLEtEzE0IcEUI8Qf+NdC3uALgbgGapHQB/UGaCSysrtaboiIlvqArB0sP6ev/fqDE765fsb0ywlCTYTRIsqX9jhZ2d7L0uJQkwOYnVJMlF/FtB1sN5dY2OWNf/yqyWgYBRU3puKl3w46ZzFNQewa8tgu6bJhb0wTDzP/lA2yR8/hV2JWaFEJ8SQjyoHIf4+X8phNhW//6zEKIwIriMJPFUABtCCN3Pb0spN4UQHwHwO0KIVwP4LIAfih2AfsyrSdIvyF4ytYU2gJ9l53T9ZAAD6bFjUWVSPqpX7mpGUXEpViN2dqzR5V2XKmHMkCOW6+tZadw663V7gRprOx3g7FnsUdWFKypfB91hSA4G3OvPlXnVFSfB25n6LEqwRyOui7wRXV5Keu6xzGNMvJuEEAmAdwI4DeAhAB8RQtwtpfw4afaXAL5bSvllIcRLkKr8X+TqN5pJSCk/DWCAckgpv4i+l2llKKvu0JG3uysraf0HYKB+wFGgfORn0Tyqsj0Mgzlo0HQa+rlownVAGET23PW82213veYRQc+zS6VFx7vOYlTabSx0Oln987JxEjRvlhc4geXEnB+j52JzN7kSDAJm2wk/5husV6dNqzrvphcCeFDRZggh3ovU2zRjElLK/0zafxjAM4o6HV9rCcNAzqMi6Jd/8SJ2O538LtKivjoH4Jzema2vp0F5kUSw7rTeVWSWDRqPSBJt9Hfl4xhrYMTkJHD5chZUN/bz9tydZnXdAdyF8sxBIzpA0rQbd9WxrnKTEZtnyYdJmarUmZhPLPwN19cIIS6Q33coJyAAeDqAz5FzD8EtJbwawB8WTs13ZuOAIPGE7F6mVF2DIJTYNXBd8rh7LvlAP/sZFandrdmhoHKolCHjEPznBc8UJ/SbKBPIyZ0rrO7groR4QH6nTjZqhTt+SoQ5A6mCkZjsHqY2tujsonsogzBJ4gtSypO2ngzHjJ6jQojvQcokZooGPFBMQutcC+8K5Ykv9yvvXrqU3y1YEoptsLQcdTOISrOXsuI9Ojp5G/0d67np6VxCw25AdbYGJXHmDFZXVvqq152d/jcxO1sub5ivyseWv0l/A74BaPRbqsqQHCKd+EZSh3pRxaIaddNDAJ5Jfj8DwOd5IyHEcQC/AeAlyjzgnloVMxs7VOD90z16FBNIjdyZm2y73V8sOzu4Mj2NK9PTqWFXec1oYtrt9azE2+Rh42pfBG9mQz/uycnc76UkwdL+Ppb293E+SXA+SbCOVK3Eo3iP8FQNo8YB87SKxvLyQB6lbH1ubqLb6+VKu3bX1tBdWxuQwLlba7fXy+n3naom+m1VUeiHSgsmYk29pOhv13j8+6e/OUPi9xOSMr0qVOfd9BEAzxFCXC+E+HoAL0fqbUqGEtcC+D0Ar5RS/rnP9A6UJKGxlCSpIZrWYN7ZwXmlN6/Cy0Nnkc1cZF2EmHn+lJEeXDEVLmQ2Cl5Tm+6UFhYyI+jG/j5unp7Okv4dR54ZzCwu4pzFdpPbsRLPp5Gpciow4m8kyei9nIqwvo6lTidnVM4kOvX/NmsPGL6Hgp02fw66st0+VG4zm0fT+nqfCBdlbGXpRDKcOTPIOHwTCup22shsklBc+Z5c2WI5qOsuTRIYiwokCSnlo0KI2wF8EEAC4N1Syo8JIV6rzr8LwC8CeAqAf6c8Ux91qK8AjAmTeNqNN6J7330A/Inj7spKamvQaLWyNBLnSqhxsnQEly5lGTaBvHfVbpLgYZiZUVXBcbH5nzamp3Mf+e70dJavaA/IMbtt9lvjHIB9xiD0c9lTf+dUauMmWURg7BkEYExcOSAVcC80pAwkV3URyt3bECgXxOhNxlxTjetQhKif9POgDIpfX5RA0GQPGSYqzN0kpfwAgA+wY+8if/84gB8P6XMsmAQFJUYurAPZDp7vgssgG3dhIT+HycmsUIppz+DLHAZSLzsQk/9pG6pCm8I68tG3PEZEuwZvrKxkz1ATkMvq+e4hZZpA6uU0CVZjug6PIRuRqSsu44Ck7SiqcY2bbkr/Nxm+CTG8DHg/R12ZxWhK5y6lRRIEv64M6Foo8j6KsVcM0737sKblqAO5D0CJ10WIZRCcIU2gn9Bsd2UlR1zP7+9bc7P4MojjiNuxdnu9LIrWBzzwjV7HI8x1TfGb0X+OmhjoKnb0A9Q71W09Bv3YYwi46ePd2cHq9PTAWsjNxde/3ROrpJ7HuKcgyarRaVsCxb332i8kbUPu0epnZdLhh7q2UhUR7de3D+pBFcPki1RMvgGAZYzvhzwLbL1ot9OIXgBotfrRpUeP4vz+fmnbg1adUJxXRPMBdpzXngDCbQ9lVBrzpPhMkRdLlxB3yjA4E5w6fTpfRpIUsCkKVMpV5dMHY4i1JcBqnqtCXAnWKsAN8CjPOSZwOsdanksVCRoHNikuLycTSGTzFWXzO8KvKVL36D54hDX3qqrKZdXFsEITHbowxkxifGemsbyc/mu3cQrKL/zWW7GPdOGXXfw0FbJpp05z4FAE2R4uXTInSgvF5iawuemsqzEBZB4gV5hEcQv5e0ozEs0MWi10jx5N61T7iuR1iuNDjuR+AHlX3wyj0FHXgMqko6Ids8n7iLqbqnxLR44exRFdE91XDcX7tbXV9gk9nmsthUo8pvsru0YqzN1UB8ZbkgByL0Dv7mdaLcwdPRpdx5qCJw/0kU5CJQhNrI9wz6MQkOfAVUYAMbgTIn/k0iVgejonWTjhUlVwEO+UXSXhTXHPlnHP60R2v3vsuHZamMQYGLXVPLkakQZtzp8+DWxuWiPxK42n0aBePVW6hNrg2s37eDLFYFjJAMdYkhh/JkH1qDT5HhCfvz0SIcxB+6afgyLWQLlFS71ViFSypJmAXsxMN3sKsLsllpkPGeNh9f/U+jo2VlYyoso9rcYOlvtfnZ7OmMYegJuTJFcffNjYtSRXpIxtd2sLU7BL1pVIshzU2O9yATXttF3El56jXktlduw8EnyYThE+aJhERaB66XYbXbKYdqenUx07inX2MQiVHo7RH3qBxhrXOMiubSBVCet/hvq1FyHyA5khTHCORGDXWcypatCnNkXcn28BRsog9HwADMTjUOgMyTfrA6bcQlUTwNBNh16bPA0Hh03X32r1mVGr1a8N4QOqLqL/0zFCJJUq1ZCHuejQ0OFYlFO9XvbiJqanM6mjbC2KUOZwCoow6w8iSfx2WyEgjGCmyDtjGG6dtvHHWdXEsA2VBRjAFFE/3YM0ed5I4fEczyJ1QdYrrMuvKbEONAOaN9mrqLsoJdpFa9JGZHkQ3IkT+cA7KlVQBkHHI1kRsnP0/vl1Lk853hdFVaqoxrtpONggBHsP5ZkDEMYgcmL+woL5o6xBv3mFRE2PHQ5I7AGQMgn9DveTJPv7MtKI45kRPmOv4kPoR0bra3LGapUFtww29vfTGBxbbAIQntaCqkn5OQ2aWYGOY5MkiqK++cZK/33mTOok4wtqeyuLhklUg5x/+M7OgK5WfwKUYMemTo5NrfEAgHP7+5ggba6ov88W9OsLWoDpMoBbRqAzp+9igz2POeW1cn5/HzNjzCQ2WJCjBielM9oLZ5hQhOc8c2Gm65n+nkDebXsP+XQalwHM21JhFMDKWuguXO/4ffqmHkImNQ5LtzNwnp7zjfB2EXR9jDOIoqJHFGUN94eRSQghnok0hf0kgH9Emtf87UKINwP4CfTdzt+oQsVLY46mf2i1cumMp86cMcY46A/JN5I7hjkUueHeRX/EBIGxxTqJ/rNY3doaiSRBDdI24/TMsCYTCTrvXOXDtbU0uA59r6GhQ62NmV4PL1Dr7i6419ok+XsPaf4t3ddqpxMtydINSQ7cddXmFu3Kv2Qi9i5QYs8zydLAuhgbgonJRX6jQTjE6qZHAfyclPKjqtb1/UIIbTH+VSmlyVOzHFwf6/IyZtQLfYB4Pe2x/12oIq33zUAuSG1pejrV5UIlDbx4sa9j3dz0C0LSBju1gOcI4Zr3mlUDI9iHreWFXbJ+tNfQyDA56VVtzhTLo1WubX3OlbLDgSyh4OJisaHXJK2Y4iZ4ziV6ne+unNtAbNIJH5tKMjzBH4ft++SSSxn722E1XEspH4byfpRS/q0Q4hNIKyONDpGusWWZww3k76nFRSytrGCCqAloPMdAnWqbqAvkdkYbnQ7m1CJe2trqRzmPSu8fqboYK7APe0bHk6yvY1J5yFmL79QN/XxvvRWTxL7GswRQdRP9TY/pAMFVtQ6jNxaxtUNMbqchnlEuxwjNJFxqpKKUGq61PCzni0MqSWQQQlwH4AUA/hTAdwK4XQhxC4ALSKWNLxuuuQ3AbQBw7bXXWvumwUG+JTtD7BBVSA/n0P8gH1AftM8cznc6mU5uzvABapvLPaq/bcp4aDnXERDqLEXKQWYSHPpe2m3Mjbo+BXmul9masmUGsB2zXueZZ0nHwTycJFllQmMf1J4QClswnEuNYzun1U0xBN43VqJq5nGYmYQQ4psA/C6A10kpvyKEWAXwFqRl894C4K0AXsWvU3VZ7wCAZwshN5IEl2EnrpQoVuVtUmXVuBgDOY3uztws1cLfmJ72TlxYWTStJowOtd5qkvQT/5HxgQNUGlSBznvg/Y3CDkFBqgRWVbdaw5Q2RhO9Kw4niH0gT7jL6Ot5wsZQN2rqemsawzZPU3ZY3tewcYhtEhBCPBYpg/gtKeXvAYCU8hFy/tcBvL+on38AnAyC4xyAGQPH9yXsVZcU7S4uZtlUgTiGsZQkubKgI4Glatdqp5NPDU5UZgelRvdGkuAozGlXtJdTrnDTwkJ6ctjMQq3rTEU5hOfL030gZNMRu+u2GZZDCTWXZACzy6xrTjYbiO9cioIDfTDGTEJIaayTXXxhWtZoDcCXpJSvI8ePKXsFhBA/A+BFUsqXu/o6efKkvKCKDmWYnATuvXdwASuYctP4oO6a09xN0Remeeka01rdFHp9bSDV6Pj9nkI+AnvcoBnCzfBjyCH1P6rEMJlvt8CDK1eZzqZu4igy9NqupwTXZ/2YmIQps4GLCcUyKHr9xYsQnc79RVXeTDj5vOfJC3fdVdwQgPiO74gaowzKSBLfCeCVAB4QQlxUx94I4BVCiBNI1U2fAfCamM5X9/edaQhyOnkPP/a6mYNGkD1kcRFXHEF/U8qF8YaVlcLEg9bypSEBQh7qpg1SxxsYNJSOMujMB5kb9eZmtkvnRau6yvkAwGDK8iFByTE4QmxxVaGrkmNm302BtKRdyvdQEH2+vu5ea1TFRCU1mp+JZiXgqiSuQjKlKtd/DyMPU5WpOQ6pd9N5AMJwqlRMhN7phRDbomyww2IQodhdWemnUTCcXw0wgmssTU/n7nd1ZQXz+sOdnc0IwpUkwV3I75KznFdK3aAlGd9kInuIt4/wGtMD/ZBMqDH9L6ko6uxZ8jKutG0F0fqlsLPjV1s9Evp70f/TtVdLtlgfgk2juLnqxsdeweOPqkxmWQTqZRWDw2yTqAMxJTtdKMMgYlVHvphaXAQcBGmeBMwFzUPvxvRuTYPsGI/0egOukLq1Fny1+2d3cjL7cH2SJ1rLtRI1FTBYx5vvUrWaoyrpJMpWxJkSYbTZ3wYJbIDYrq/jvLLlmO5nlJuVoqqHzudmMxybGANNxcHzM8XuystWpiuDohiLEDRMIhz6A4v9eKqQHupgEHSHjuVldF3iOQmYC3oOpCD8XkBG3COKKc2fZdp6EnzVZYQ+COSj0u9HbwrmzpzJNT0ORkzVtbG73LLrKQNVzei/DeqagXm2284UJbE2thh0T59OY22qYL48aaVvdlXe3gVXQFtoFthYw7ht/Jg+ORpJogQifdWrUi/VJUlMMRfSqsGJeM5+oxjB7tYW1pF/VpmU4FDphDKISdsJHQSomENOLQaDZKE/yJtuKp2o7iChDX91HwcPsMtYFLHHlAb1KAqRBu68s39dGdgSBNadFr1qNEwiHFGuqBUwB54bh35o3YrSjw+t2pUBXF2knwu/7ytJgiOKma12OtEG3G2YVYdLnc5AZDx/R/o3J5Rdaoz3NMxzg3sV2E2S6iKy9Ybo4sWcjS2WQQCDGxzdV1s/ZxKLEY06chsN057gi7oN4Q2TCEeoemAYxunVSOaQlQ/18d929aFsDKFlW7u0oh8Z26Q3B4CNTicXUDVPdntldraF89RjnjmDpZWVfjW1VitlDEC6A6VMwdNza67Xw9zsbFRBqqUkyfIXAcwTynZRKFGhKqua7RNTqqxtJRJZ7Ibn1lvt57gaJ1StEzonn37rkE40DmvupmFBf5yuXWBZBmG8XhkatfvfcZBKawsLhcRG93meFh0qg3Y7X8goAFryOU5Ki7py3ZiMyMPAgCShVFvdxUVsqHvYhoMwF/VfomKhbf1prykgNdDn0sIvLmZMbClJBjYL1DBfhw1CM9nsOY65e3IGV4S0D6ok6FSNVZc00dgkykETtcsGD4wqpAdrH+02ZnZ2sE+lB7VAdgOIzUwNfvbdSKKSI/62lM5wp6Oe6vXQRT2G1QGiRsuiqo91rkQEdJdUL4w2vpv6JNASGGdkpnVGDfPc3XdDzc+1OZpAWl4VSDMWTFnym+WcJRzzCQY1HJcpQOSTSlz/HTq/mOti+mzqSYweVTKILIioSNxeXsZxxSRytSu0uG4BVU2MhT6VICsWpJ6B3vke6fWyFNmFxvpJqzm6FAYM7ppZrK1lUsCErrgWQwAiy8eeQj+dRyyDDkKr1ff6Qn8963lQyUVDpzO3fRdV2E6K6qZYbQkhxXuKwMujuohzqL3ElT6kLBMoQsMk4mH6IK2eN54frymIqAy4F9Q2kJZ51KiYUfBdYQg0A7uinoF2dqX1kV0o8qmvA0usPshukmBKM/oTJ7zzKy0FppDXmOn10lxhASgMDkS/LOl8r5f7O+eNRq4piroHLLElOztYnZ7Opxeh8R6eGHjvPIiMFg9y4eLFsOJbtvN1E246hvbecjG+WDTqpngMZKuswzhdoGecMqmLWq2cIXljfz+rKaE/ZJ3me4ropcuiih2sjRGYPItOqb99iNMwsQ5gQjG5va2tvlHb8JxjntkC+mqjTPqgMR60iJQFRhnVMU9NgPl8ad3qNtI8XtZcUjs7mQ1thhw2qdZyNUlYH0GbGh+mwNVJNHgu1MjMg/BcNa6rBo/94PcUi8ZwHYdhMAgqxgOWyF7bB0OM0XM7O5nf9zlFODJivLLiDpgLnOswMW7MgSKXlZYY5rfhR8RduIy++sbodKDVlI53YpK29Dz1esjaONRg9B2sQ6l8TOoR5rl1JUlwDx/f4mLMVWj0W7vC79GlUmLecwPteCwD0GeYMVJBSDqMWGne1+mkrLagkST8MRTpgUF/iOe4SmB2Fhvqw5tj4jvW1zOX2BvgJqh0nly/ndkIDPdJPWUOIrpra9jtdDJ9OFdV8cR6IaDxK/rvuV4v55UVGx1+D4B5j8p7rrXJzw0kXkR/c4J227ua4h6AVXVP82trVhVayJpxfUdHer08MzTVYwDSYyHJJDlx961xzUHLoB5kNEzCD2UYRBXR0QPjbW6aXUFbLWB5uR8/0GphRi3SIr03ZyYu0/lBZA48tfYUIbJU366fdWyOrj3D35oJZTE2gQyiVhdRw07TR87hFRlXteFenyfPlwYMlvkelpIki63ZWFnJG6xtO2afqnT0PE39wu0TLkMyN1zz4kW2udVRpa4qW2NjkyjG5++/vxSD0G1psrgYlMqAGWHIovehP8wqMpDa7mEjSTCnfPVjjbjOcY8eLfQYG9hh69+Tk7lrc+oPw46Zu8sCKROKMeqPKn7AJD0CbgnrFvabeqfZUrjHgK7D4452GVwJ9jSx9fFIa7fzdiBOqG3MIJSY07mMgwdiwyT8EcMcNExug7qgCs9MCqS1AnhW0iDQxaXE7G6rFUWAs7FLMgnXPcwtLtYrlpeJ4DVcm+1geTZbIIsjoLiSJGk+Ks8hvYjfkJBFxQPA8nLOO46+U15alP7m8RDaJlGGYUzAoGrVoASWq49cWWBNcRGhGVVdZUhtcy3qR+cTi/FcKuPt1EgS/ijDIKxwufnddJNfHyEI0C9TlLWveD0Poi/uzs7iCjF0llFt1bETH5A41P9c2qOpNo70eljwDaIcUTEhK9S7WU2SXKLDUGhpIqQcsAtBfdDgOpNUQYm/y5XUZozm/eviQrbx+Fi0H3qOe1qZ5uZSPZWNxL5avZuEELMA3g4gAfAbUkrryn/ajTeiy8uXKoTESbjaUJVUbmdUg9dQ3XUo+FjzdBfqi4sXcYQQyonp6WzOIQblYatqTHYj+g6PkAy7XH13HMjUbWOhYjAgszdEzs+kwqo0toUSVUocNdGmBmifFOEmqYESa5c0QCUZ03jU+cBXkmi1zHYOE6OxFT2KQUWSRBHdVWWn3w7gpQC+CuBWKeVHXX3WwiSEEAmAdwI4DeAhAB8RQtwtpfx4SD/R0oMDpo+oMJI0ELlqbzW7rkbXX2bqHd6PKxnecdj16aNATm1Ed5TLy30JZGWln3vragAhYi4vqCiYpAVdgtQmSbjUSxw+AWvczkHH09fz/4vmoeM3dF+u8atO+FcBk/Ckuy8B8Bz170UAVtX/VtQlSbwQwINSyk8DgBDivQBeBsCbSdTBIEyYgKPmwRij9h385iaOa/dcsiPPBZqNCZwMS9uKKgpoPDCgBKzdxvFOJ/Ok0wZ+bZ2aQL+WN02FYkSRtGBTH3FdP92lc4Jrq2NdBS5ezI9tyj9lGlPbK1z9xqI6m4QP3X0ZgLuklBLAh4UQTxJCHJNSPmydXtq2WgghfhDArJTyx9XvVwJ4kZTydtLmNgC3qZ8tABWvhmhcA+ALo56EQjMXM5q5mNHMxYxhzeVbpZRHQy8SQmwinaMPvgHA35Hfd0gp71D9+NDd9wNYllKeV7/PAXi9lPKCbcC6JAlhOJbjRurG9M1dkFKerGkuQWjmYkYzFzOauZjRzMUfUsq4EpyDKKS7nm1yqMvv6iEAzyS/nwHg8zWN1aBBgwYN/OhuMG2ui0l8BMBzhBDXCyG+HsDLAdxd01gNGjRo0MCP7t4N4BaR4n8A8DcuewRQk7pJSvmoEOJ2AB9E6or1binlxxyX3FHHPCLRzMWMZi5mNHMxo5nLkGGju0KI16rz7wLwAaTurw8idYH9saJ+azFcN2jQoEGDw4HxjQVv0KBBgwYjR8MkGjRo0KCBFSNnEkKIWSHEp4QQDwohzgx57GcKIf5fIcQnhBAfE0L8K3X8zUKIvxZCXFT/Xjqk+XxGCPGAGvOCOvZkIcSWEOIv1P/fMoR5fBu594tCiK8IIV43rOcihHi3EGJPCLFDjlmfgxDiDWr9fEoI8b1DmMuKEOKTQohtIcSGEOJJ6vh1QoivkefzrprnYX0fI3gm7yPz+IwQ4qI6XtszUf3bvuGRrJdDCSnlyP4hNa7sAngWgK8HcAnA84Y4/jEA367+fgKAPwfwPABvBrAwgufxGQDXsGP/BsAZ9fcZAL8ygnd0GcC3Duu5APguAN8OYKfoOaj3dQnA4wBcr9ZTUvNcbgbwGPX3r5C5XEfbDeGZGN/HKJ4JO/9WAL9Y9zNR/du+4ZGsl8P4b9SSRBZGLqX8rwB0GPlQIKV8WKrkVlLKvwXwCQBPH9b4nngZAJ0jYQ3ADwx5/FMAdqWUfzWsAaWUHwLwJXbY9hxeBuC9Usq/l1L+JVKvjRfWORcp5T1SykfVzw8j9TWvFZZnYsPQn4mGEEIA+GEA76lqvIK52L7hkayXw4hRM4mnA/gc+f0QRkSkhRDXAXgBgD9Vh25X6oR3D0PFoyAB3COEuF+kaUsA4KlS+TGr/6vOR1iElyP/wY/iuQD25zDqNfQqAH9Ifl8vhPgzIcR/EkL80yGMb3ofo3wm/xTAI1LKvyDHhvJM2Dc8ruvlwGHUTCI4RLyWSQjxTQB+F8DrpJRfQZoZcQrACQAPIxWfh4HvlFJ+O9JMjT8phPiuIY1rhEgDcr4fwH9Qh0b1XFwY2RoSQrwJwKMAfksdehjAtVLKFwD4WQC/LYT45hqnYHsfo/yuXoH8pmIoz8TwDVubGo41cQAOjJpJjDx9hxDisUgX129JKX8PAKSUj0gpe1LKfwTw6xiSOCql/Lz6fw/Ahhr3ESHEMTXXYxheqQogZVYflVI+ouY1kueiYHsOI1lDQogOgO8D8C+lUnYrFcYX1d/3I9V3P7euOTjex6ieyWMA/HMA7yNzrP2ZmL5hjNl6OcgYNZMYafoOpT/9TQCfkFK+jRw/RprNYQgZaoUQR4QQT9B/IzWO7iB9HroYQAfAH9Q9F4LcrnAUz4XA9hzuBvByIcTjhBDXI82Tb65gVRFEWtjl9QC+X0r5VXL8qEhz+kMI8Sw1l0/XOA/b+xj6M1G4CcAnpZQPkTnW+kxs3zDGaL0ceIzaco40RPzPke4w3jTksWeQiprbAC6qfy8F8H8CeEAdvxvAsSHM5VlIvS4uAfiYfhYAngLgHIC/UP8/eUjP5hsBfBHAE8mxoTwXpIzpYQD/gHTn92rXcwDwJrV+PgXgJUOYy4NI9dp6zbxLtf0X6t1dAvBRAP9zzfOwvo9hPxN1/E4Ar2Vta3smqn/bNzyS9XIY/zVpORo0aNCggRWjVjc1aNCgQYMxRsMkGjRo0KCBFQ2TaNCgQYMGVjRMokGDBg0aWNEwiQYNGjRoYEXDJBo0aNCggRUNk2jQoEGDBlb8N9uWQ2qpAqNKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "large_cutoff.residue_contacts.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 584 ms, sys: 11.5 ms, total: 595 ms\n",
      "Wall time: 598 ms\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "import matplotlib\n",
    "import copy\n",
    "cmap = copy.copy(plt.get_cmap('seismic'))\n",
    "norm = matplotlib.colors.Normalize(vmin=-1, vmax=1)\n",
    "\n",
    "plot = plt.pcolor(large_cutoff.residue_contacts.df, cmap=cmap, vmin=-1,\n",
    "                  vmax=1)\n",
    "plot.cmap.set_under(cmap(norm(0)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You'll notice that these may not be pixel-perfect copies. This is because the number of pixels doesn't evenly divide into the number of residues. You can improve this by increasing the resolution (`dpi` in matplotlib) or the figure size. However, in both versions you can see the overall structure quite clearly. In addition, the color bar is only shown in the built-in version."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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