{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Day 9 - 2D & 3D movies\n", "\n", "### Topics\n", " 1. Intro to data & files\n", " 1. Brief review -- planet data\n", " 1. 2D Movies: Animations\n", " 1. 3D movies (with `ipyvolume`)\n", " * simple orbit plots\n", " * 3D animations\n", " * `ipyvolume` + `ipywidgets`\n", " * export your 3D animation to a webpage\n", " * Bonus: animation + widgets\n", "\n", "## Intro to data & files\n", "Let's make some movies!\n", "\n", "First, make sure you've downloaded **and unzipped** the zip file that stores the simulation data we are using today. Link to this file [is right here](https://github.com/jnaiman/csci-p-14110_su2020/raw/master/lesson09/data.zip). I recommend unzipping it \n", "\n", "This link was generated by running some simulations of a few of the planetary systems in the NASA exoplanet database. See the [Extra notebook in this lesson](extra_notebook_generate_sims.ipynb) for more details.\n", "\n", "We'll also make use of an additional library, [hermite_library.py](https://raw.githubusercontent.com/jnaiman/csci-p-14110_su2020/master/lesson09/hermite_library.py), to do some additional reading and writing of data, so make sure that is downloaded and in the same directory as this notebook file." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Brief review -- planet data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start by importing our usual things:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import ipywidgets\n", "#%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Last time we did some info-viz type things with the planet dataset:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "planets = pd.read_csv('https://jnaiman.github.io/csci-p-14110_su2020/lesson08/planets_2020.06.22_10.10.17.csv', \n", " sep=\",\", comment=\"#\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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rowidpl_hostnamepl_letterpl_namepl_discmethodpl_controvflagpl_pnumpl_orbperpl_orbpererr1pl_orbpererr2...st_bmyst_bmyerrst_bmylimst_m1st_m1errst_m1limst_c1st_c1errst_c1limst_colorn
0111 Comb11 Com bRadial Velocity01326.030000.32-0.32...NaNNaNNaNNaNNaNNaNNaNNaNNaN7.0
1211 UMib11 UMi bRadial Velocity01516.219973.20-3.20...NaNNaNNaNNaNNaNNaNNaNNaNNaN5.0
2314 Andb14 And bRadial Velocity01185.840000.23-0.23...NaNNaNNaNNaNNaNNaNNaNNaNNaN7.0
3414 Herb14 Her bRadial Velocity011773.400022.50-2.50...0.5370.0010.00.3660.0020.00.4380.0060.09.0
4516 Cyg Bb16 Cyg B bRadial Velocity01798.500001.00-1.00...0.4180.0030.00.2220.0030.00.3510.0030.017.0
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" ], "text/plain": [ " rowid pl_hostname pl_letter pl_name pl_discmethod pl_controvflag \\\n", "0 1 11 Com b 11 Com b Radial Velocity 0 \n", "1 2 11 UMi b 11 UMi b Radial Velocity 0 \n", "2 3 14 And b 14 And b Radial Velocity 0 \n", "3 4 14 Her b 14 Her b Radial Velocity 0 \n", "4 5 16 Cyg B b 16 Cyg B b Radial Velocity 0 \n", "\n", " pl_pnum pl_orbper pl_orbpererr1 pl_orbpererr2 ... st_bmy st_bmyerr \\\n", "0 1 326.03000 0.32 -0.32 ... NaN NaN \n", "1 1 516.21997 3.20 -3.20 ... NaN NaN \n", "2 1 185.84000 0.23 -0.23 ... NaN NaN \n", "3 1 1773.40002 2.50 -2.50 ... 0.537 0.001 \n", "4 1 798.50000 1.00 -1.00 ... 0.418 0.003 \n", "\n", " st_bmylim st_m1 st_m1err st_m1lim st_c1 st_c1err st_c1lim st_colorn \n", "0 NaN NaN NaN NaN NaN NaN NaN 7.0 \n", "1 NaN NaN NaN NaN NaN NaN NaN 5.0 \n", "2 NaN NaN NaN NaN NaN NaN NaN 7.0 \n", "3 0.0 0.366 0.002 0.0 0.438 0.006 0.0 9.0 \n", "4 0.0 0.222 0.003 0.0 0.351 0.003 0.0 17.0 \n", "\n", "[5 rows x 356 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "planets.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we made some beginning plots with this data (before we did some more complex stuff with `bqplot`):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "planets.plot(y='pl_orbeccen', kind='hist')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We know from our understanding of ellipses that things like eccentricity (along with others like semi-major axis) define the shape of the orbits of planets in these exoplanetary systems:\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use this information to do numerical simulations of these planetary orbits. This was a big part of the last iteration of this class which you can see in lessons01-05 on [the Summer 2019 page](https://jnaiman.github.io/csci-p-14110_su2019/). We will gloss over it now, but you can check out the [extra notebook for this week](extra_notebook_generate_sims.ipynb) if you are curious!.\n", "\n", "What will use is simulations of several multi-planet systems from the NASA database. Some creative license has been used to translate the NASA parameters into initial conditions for the simulation when data is missing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D movies\n", "\n", "To start, let's check out the simulation data and make some quick plots." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To read in the data make sure the ```hermite_library.py``` file is located in the same directory were you are running this all from." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from hermite_library import read_hermite_solution_from_file # reader for sim data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we have to choose what system we want to make a movie of. Assuming the data directory has been downloaded and unzipped to the current directory, we can check out whats in it with a:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "55_Cnc-savedSim.txt HD_215152-savedSim.txt Kepler-411-savedSim.txt\r\n", "DMPP-1-savedSim.txt HD_219134-savedSim.txt Kepler-62-savedSim.txt\r\n", "GJ_3293-savedSim.txt HD_34445-savedSim.txt Kepler-79-savedSim.txt\r\n", "GJ_667_C-savedSim.txt HD_40307-savedSim.txt Kepler-80-savedSim.txt\r\n", "GJ_676_A-savedSim.txt K2-266-savedSim.txt Kepler-82-savedSim.txt\r\n", "GJ_876-savedSim.txt K2-285-savedSim.txt TRAPPIST-1-savedSim.txt\r\n", "HD_10180-savedSim.txt KOI-94-savedSim.txt WASP-47-savedSim.txt\r\n", "HD_141399-savedSim.txt Kepler-107-savedSim.txt myPlanetarySystem.txt\r\n", "HD_160691-savedSim.txt Kepler-11-savedSim.txt tau_Cet-savedSim.txt\r\n", "HD_20781-savedSim.txt Kepler-20-savedSim.txt\r\n", "HD_20794-savedSim.txt Kepler-32-savedSim.txt\r\n" ] } ], "source": [ "!ls data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is listed here are the simulated orbits for several different exoplanetary systems (plus a made-up one called \"myPlanetarySystem.txt\"). Let's pick one to read in and check out:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "planet_file = 'data/Kepler-11-savedSim.txt'\n", "\n", "t_h, E_h, r_h, v_h = read_hermite_solution_from_file(planet_file)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several outputs from the `read_hermite_solution_from_file` function. The one we'll start looking at is `r_h` which gives the 3D vector that holds the positions of all the planets & central star at different timesteps in the simulation.\n", "\n", "The order of this vector is:\n", "```\n", "r_h[planet number, index for x/y/z, time step]\n", "```\n", "\n", "The other outputs are:\n", " * `t_h` is the time at each timestep (in seconds)\n", " * `v_h` is the velocity of each planet/star in the system as a function of time (same format as `r_h`)\n", " * `E_h` gives the energy of the system as a function of time (if you have done a bit of physics you can check this to see how well energy is conserved and how much is lost to numerical artifacts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a quick plot to see what this system looks like:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# first create an axis object to hold our 2 horizontal plots\n", "fig, ax = plt.subplots(1,1, figsize=(10, 10))\n", "# figsize makes sure we are 2x times wider than higher\n", "\n", "# loop over the number of particles in our system\n", "for i in range(r_h.shape[0]):\n", " # on the 0th i.e. first set of axis plot\n", " # the ith planet\n", " # the 0th (x) axis vs the 1st (y) axis\n", " # and plot all the time steps (:)\n", " ax.plot(r_h[i,0,:], r_h[i, 1, :])\n", " \n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So this is just plotting x vs. y, but what about the z-dimension? Let's plot x vs z instead:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# first create an axis object to hold our 2 horizontal plots\n", "fig, ax = plt.subplots(1,1, figsize=(10, 10))\n", "# figsize makes sure we are 2x times wider than higher\n", "\n", "# loop over the number of particles in our system\n", "for i in range(r_h.shape[0]):\n", " # on the 0th i.e. first set of axis plot\n", " # the ith planet\n", " # the 0th (x) axis vs the 2nd (z) axis\n", " # and plot all the time steps (:)\n", " ax.plot(r_h[i,0,:], r_h[i, 2, :])\n", " \n", "ax.set_xlabel('x')\n", "ax.set_ylabel('z')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that while there are orbits that go into x/y the magnitude of their x's (in AU, astronomical units) are very very small compared to their orbits in x/y. So as expected, all of the orbits lie in a plane so this just looks like a straight line.\n", "\n", "Fun questions:\n", " * is this true for all of the NASA systems?\n", " * what about my \"by hand\" planetary system?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also make a 1x3 plot that shows how everything varies with everything:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# we can test-replot like we did before:\n", "fig, ax = plt.subplots(1, 3, figsize = (10*3, 10))\n", "fig.suptitle('Coordinates Plot')\n", "\n", "# set the labels along the horizontal (x)\n", "# and vertical axis\n", "# **COMMENT ALL THESE**\n", "ax[0].set_xlabel('x in AU')\n", "ax[0].set_ylabel('y in AU')\n", "\n", "ax[1].set_xlabel('x in AU')\n", "ax[1].set_ylabel('z in AU')\n", "\n", "ax[2].set_xlabel('y in AU')\n", "ax[2].set_ylabel('z in AU')\n", "\n", "# plot Euler's solution, particle 1, x-y\n", "for i in range(r_h.shape[0]):\n", " ax[0].plot(r_h[i,0,:], r_h[i,1,:], lw=3)\n", "\n", "for i in range(r_h.shape[0]):\n", " ax[1].plot(r_h[i,0,:], r_h[i,2,:], lw=3)\n", "\n", "for i in range(r_h.shape[0]):\n", " ax[2].plot(r_h[i,1,:], r_h[i,2,:], lw=3)\n", " \n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note my system here is pretty 2D, your's might be very different!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D Movies: Animations\n", "\n", "How would we make an animation of this? We will basically make \"frames\" of data - one for each timestep, or subset of times (more on that in a moment) and then plot this. \n", "\n", "Let's just do a face-on plot:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# first create an axis object to hold our 2 horizontal plots\n", "fig, ax = plt.subplots(1,1, figsize=(10, 10))\n", "# figsize makes sure we are 2x times wider than higher\n", "\n", "# loop over the number of particles in our system\n", "for i in range(r_h.shape[0]):\n", " # on the 0th i.e. first set of axis plot\n", " # the ith planet\n", " # the 0th (x) axis vs the 1st (y) axis\n", " # and plot all the time steps (:)\n", " ax.plot(r_h[i,0,:], r_h[i, 1, :])\n", " \n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To do an animation, let's start by importing some things we need. This *may* be different on differenet systems & different versions of things. I'll list a few options and then go through the one that works on my machine." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using JSAnimation (old matplotlib)\n", "\n", "You *may* have to install JSAnimation to get `animation` to import. Try this first:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "#!conda update matplotlib --yes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And if not try:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "#!conda install -c conda-forge jsanimation --yes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# if you get an error try:\n", "#!pip install JSAnimation\n", "\n", "#from JSAnimation.IPython_display import display_animation" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from matplotlib import animation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, we should expect that if we make a movie of this developing, this should be the final frame of our movie.\n", "\n", "One thing we need to be aware of is that the more time steps we want to show, i.e. the number of `frames`, the longer it will take to generate this animation, and the longer it will take to save to a file. So we are going to *subsample* our dataset for outputing purposes." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# plot how many steps? i.e. every X number of steps?\n", "# we probably don't want a huge movie with every step\n", "stepSize = 50" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((7, 3, 176), (7, 3, 8800))" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# r_h[number of particles, number of coords, number of times]\n", "# subsample\n", "# we will subsample time with indexing like: start:stop:step\n", "r = r_h[:,:,0:-1:stepSize]\n", "t = t_h[0:-1:stepSize]\n", "###E = E_h[0:-1:stepSize]\n", "\n", "r.shape, r_h.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do we think the last frame of our animation should look like?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": 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qtG0HJydulUG2I/rRQ/w6cxqunw1MtZ9/q7Zo1W8I918jm8cijcgOnNm9E38smJlqnyIVKqHD+A/glTefRlkRZZ8rp09gw+cfp9rHxd0dXT/5mnPXyGaxSCOyUaakROxYMAtn9+9Otd8rI8bD74UWGmVFpK2khATsXr4IAX/+nmq/V0ZNhF/jZhplRZQ1WKQR2Zjwu3ewZtI7qW44W7pGbbw8fBw3mSWHcjXwFNZ/+mGqfWq90hHNevbjo36yCSzSiGzErfNBWP3RxFT7NO81ALVe7sCNZsmhxcdE49eZ03D51HGrfYpU9EWndycjR04vDTMjyhgWaUQGd+XUcWz4YlKqfbpO/QZFK/pqlBGRbZBS4vi2Tdi7cqnVPl758qPHF98hZ568GmZGlD4s0ogMKujgXvw262ur7YXLV0SndyfzQGqidLh25jR+nvqB1XYXVzf0mT4f3gULaZgVUepYpBEZSPImntuwe9kiq31qtH0VzXsNgLOLi4aZEdmH8LuhWPXheMSEP7Lap/fXc+BTsrR2SRFZwSKNyACklDj1xzbs+sH6DuuN3uyOBm904bmFRFkgLjoK6z55H/euXLLap9/MRchbuKiGWREpsUgj0tn5IwewdcaXVttb9R+GGi++omFGRI4jMSEem6dNxbXAUxbbhXDCwLlLkSu/j8aZEbFII9LNtTMB+Hnq+1bbua8TkXZMSUnYPnc6zh3aZ7E9R67c6PvtPHh659E4M3JkLNKINBZ6KQQr3xtjtb392HdRsUETDTMiosfMJhN+nTkN548etNheoFQZdP30G7i6uWucGTkiFmlEGom4fxffD+9ntb3NoBGo1uolDTMiImtMSYnY+MVkXDtz2mK7f6u2aDNwBOeIUrZikUaUzUxJSVg76R3cDjlnsb1Jl16o/3pnjbMiovRIjIvD2invIvRSiMX21gOGo3qblzXOihwFizSibHR4/Woc+vkni2012rZDy75D+EmcyAbERkZgyaiBiI+Jttj+1pSvUNy3isZZkb1jkUaUDVI7Q7BsrbroMP59OLu4apwVEWXWgxvXsGz8MIttzi4uGLJoJY+aoizDIo0oC6U270wIJwxZtIKHnhPZgYvH/8bmaZ9YbKva4kW8OHgkR8kp01ikEWUBs9mELd9+jovHjlps7zr1axSt6KdxVkSU3Y5sXIuDa1dYbHvt7Y9QrnZ9jTMie8IijSiTrgScxIbPPrLY1qxnf9R59XWNMyIiLSUlJmLV+2Nx79oVi+3DlqyGh1cubZMiu8Aijeg5JcbFYcGQXkiIjVG1lapWE6+/8zHnnRE5kLBbN/HD2MEW2+p2eANNu/fVOCOydSzSiJ7D37+sx/5Vyyy2DZi9GN4FC2ubEBEZRuCuHdixcJbFtt7fzIVPiVIaZ0S2ikUaUQY8vHMLS0cPstjWsu9g1HypvcYZEZERmU0mrP5oAu5cvKBqK+ZbBZ0//hxOzs46ZEa2hEUaUTpIKbF97nQE7d+tavPK74P+3y2Ci5ubDpkRkZHdvXIJK94ZZbHtrUlfonjlqhpnRLaERRpRGh6F3sGSUQMstnEDSyJKj13LFuLk9q2qeKGy5dH9s+kQTk46ZEVGxyKNKBXWfrD6vdACLw8fx32QiCjdYiLCMX9gd4ttb03+EsX9OKpGSizSiCyIfHAfi4b1sdjWb+Yi5C1cVNuEiMhuHP91M/b8uFgVL1yuArp++g2cnDhXjZJZK9I47koOSUqJA2t+tFigVWnWCuPWbGWBRkSZUrvdaxi+ZI0qfufiBczo2hH3rey3RvQYR9LI4aT2KKLPt/ORv3gJjTMiInt3bNsm7F2xRBWv0fZVtOo3RIeMyEg4kkYE4MLRQxYLtLK162Hcmq0s0IgoW9R59XUMW7xKFT/1xzZ8+9ariI2K1CErMjqOpJFDkFJi3ZT3cCPojKqt+2fTUbh8RR2y0ofJZEZUWBxuBD/EjeCHuB4UhviYJM3e39PbDYXLeqNQmdwoXCY38hfPBXcPF83en0hve35cjOO/blbF2w4dg6rNW+uQEemNCwfIYUWFPcDCob1VcZ+SpdHji+/g7GI/BUJCXBLCbkXj5vmHOHc0FA9vR+ud0nNz83CBf7NiqFC3EPIU9oSzMwf+yX48uHkdy8YNVcV9SpZGr2mzuaLcwbBII4cU8Nfv2Llojir+0rCxqNKslQ4ZZQ2zWeLqmQc4vv0KQi9H6J2O5nxKeKFuuzIo5Z+fxRvZLCklVn0wzuJpBYPmLUOu/D46ZEV6YJFGDsWUlISlYwYj4l6oqm3oopXw9M6jQ1bPJyYiAWcP3sLRXy5p/t4euVzh7umKHDld4J7TFTlyuiKHpytc3J1gNkmYkyRMSebkf0xmJMaZEBkWh8iwOMRHa/cI9bEabUqibrvScMthP6OjZP9Cjh3FL19PVcXbDhmNqi3a6JARaY1FGjmM8LuhWDyyvypetlZdvP7OJB0ySr/EBBNunnuIPSuDER2ekKWvXahMbpSrVRDFK+VFvqI54eyi/wiUKdGM8PuxuPbvA1w6dQ+3Q8Kz/D2adasEv8ZFOOJGhhYXFYW5/buo4gVKlUHPL2fypAI7xyKNHML5owexdfoXqnin96agTI3aOmSUOlOiGeeO3sHulcGZfi03DxdUb1UCZar5wKe4F4ST7c9pkVIi6mE8Lp++jzP7bmbJHLvaL5WCf/PiyJnHPQsyJMpam6Z9gkvH/1bFhy1eBY9cuXXIiLTAIo3s3va503F23y5VfMQPa+HumVOHjCy7HHAfv80LyNRrNOlcAVWaFIWLm+PuWJ6YYMKlE3dxdMtlRIbFPffrvDigCsrXLsiJ2mQYF4//jc3TPlHFO0/6AiUq++uQEWU3Fmlkt0xJSfiu+2uqeNna9fDaxI90/+WbGG/Crh+DEHL87nPd37pvZZSrWcChC7L0klLielAYdq8IRtTD+Azf713QA6+Pq8VRNtJdbFQk5vXvqorX6/g/vNCtj/YJUbZikUZ26dGd21gyeqAq/vLwcajctKUOGSW7fyMSaz/9J8P3la1ZAPVeLYN8RXPqXlzai7ioRBz55SL+3X8rw/d2mlALRcrbziITsi9SSqx4ZxTuXb2siHt658HgBct59qcdYZFGdufs/t3YPudbVVyPg9GllLgd8gibvj2ZoftKV/NB826VOHKjobjoRPy99TIC99zI0H1tB1ZF+doFsykrIuuObd2IvSuXquLDlqyGh1cuHTKirMYijezKb3O+RdD+3ar4mJ82wdnFVbM87lwKx4Zpx9Pd39nFCW++Vwf5i3llY1aUERH3Y7FtbkCGFiW8OqI6SlbJx9FO0kzopRCsfG+MKt7zq1koWLqsDhlRVmKRRnZBms34fkR/RD64p4hXbNAE7ce+q0kO8TGJ+PnLYwi/G5uu/lVeKIomb1bgnDIbIKXE8e1XcXRL+vek6zG1AbwLeGZjVkTJEuJiMbv3m6q4rW/OTSzSyA4kJSZiZo/XVfGXR4xH5RdaZOt7SylxeONFnNx5LV39G75eDtVblTDEXmT0/K4E3Mev6VyJW6FuIbTuWxlOdrD1CRmXlBI/jB2Ch7dvKuJVW7RB2yGjdcqKMotFGtm06EcPsWBwT1W817TZKFCqTLa9b8T9WKz48HC6+jbslFKYcdNUuyOlxJWA+/htfmC6+nccWxPFK+XN5qzIke1e/j1O/PaLIubpnQdDFq7gY3gbxCKNbNadixfw0/tjVfHs2tzRbJY4uP4CAnalPbG8arNiaPJmBY6YORApJf7ddxN7V59Ps2/5OgXxYr8qdrGxMBnP+SMHsHXGl6r4mJ82w9mFR6PZEhZpZJPO7tuF7XOnq+JjV/0CJ+esneMVF52IlR8dRnxM6mdO5i+WE50m1ub5kISkRBO2LwjEtX/D0uzbfUoD5CnEuWuUtR7cuI5l44eq4sOXrEEOLy5QshUs0sjm7Fq2ECe3b1XECpeviO6fqYu2zEjvCs3XxtZEMT7CIise3onGqslH0+zXbng1lPb30SAjchTxMdGY0/ctVbzfdwuRt0gxHTKijGKRRjbF0vl1tV99Hc17qg9Ofx5SSgQdvJ3mmZmFyuTGa+NqwsWVKzMpfaSU2LMyGGcP3k61X512pVGvXRk+CqUsYTaZMKNbR1W888efo0SVajpkRBnBIo1sxo/vjMK9K8otEF4ZMR5+WbSC89Sf13BwfUiqfVr28oVvwyKcgEuZkp5R2nK1CuLFAVW4KpSyxKJhfVVbFLUbNRG+jZvplBGlB4s0MjwpJeb274L4aOWmol2nfo2iFf0y/fqHNobg5I7Ut9Do8lE9bjRLWS4uOhFLJuwHUvlxW6a6D14e4s8PBpRpW779HBf+PqSItew7GDVfaq9TRpQWFmlkaNJsxvSuHVTxPtPnI3+xEpl67aNbLuHYb1estnvkdkO3j+sjh5d2JxWQYzKZzPh1zmlcD3potU8Jv7xoP7IGH4NSphz6+SccXr9aEWvwRhc07txDp4woNSzSyLCsbVI7aP4y5Mr3/BOsT/91HQd+vmC1vUh5b3QcW5P7mpHmpJQ4svkiTvxhfWS3Qp2CeHFAVQ2zIntzeud2/Ll4riLm3/JFvDh4lE4ZkTUs0siQrK1KGr50DXLkfL7HjmcP3Ep1QYBvoyJo2dOXj5XIEE78cRWHN1202l6vfRnUbZd9GzaTfTt/9CC2Tv9CEStTsw46vTtZn4TIIhZpZDgxEeGYP7C7Kj5qxQa4urln+PVCL0dg/VfW/9z9mxdH0y4VM/y6RFoI2H0D+9da3yC3VW8/+DYsomFGZC+unTmNn6d+oIiVqOyPzpO+sHIHaY1FGhlKXFQU5vbvooqP+WkTnF0yNjcs+lE8lr170Gp7uZoF8NJg/wznSKSHtB7Td/m4HvIX5eIWypjQSyFY+d4YRaxopcro+sk0nTKip7FII8OIj4nBnL6dVfGMniIQH5uEVZOOICYiwWJ7wVK58MbbteHEOWdkg/auOocz+25abR80sxlc3bl/H6Xfg5vXsWyc8nSC7NggnDKORRoZQkJcLGb3flMVH7v6Fzg5pf8Xzj+/XsbfWy9bbR84oyncPHhsE9k2KSU2TDuO0MsRFttLVsmHdsOrc481SreHt29i6ZjBiljB0uXQ86uZOmVEAIs0MoDEuDjM6v0/VXzc6i0QTukb7Qq/F4OVHx2x2t79kwbIU5DnI5J9SYw3YdHovVbbO46pgeK++TTMiGzZozu3sWT0QEWsQKky6DVttk4ZEYs00lVifBxm9bJQoK3Zmq5VllJKLBm/3+rh5y8NqopytQpmOk8iI0vrfNAhc5rD2YWP9ylt4XfvYPHIAYpYiSrV0Pnjz3XKyLGxSCPdZLZAu3AsFDsW/2uxrWK9QmjdtzK30yCHcmbfTexddc5iW622pdDw9XIaZ0S2KPxuKBaPVJ6HXKF+I3QY975OGTkuFmmki8wUaKYkMxaM2GO1feB3TeGWg/POyDFJs8SPHxxC1MN4i+19vmqMnN4Z38qGHIulR5/+rdrixUEjdcrIMbFII82ZzSbM6NpRFU/PHLTjv1/Bkc2XLLZ1mlgbRcp5Z0mORLYu4kEsVnxw2GJb+doF0XYgTy2g1N2/fhXLJwxXxOp2eANNu/fVKSPHY61I03XyghDiJSHEOSFEiBDiXQvt3YUQASn/HBJCVNcjT3o+lgq0sat+SbVAi41KwNwhuywWaKX982P4gpYs0Iiekju/B4YvaIm6r6pPJQg5fhdzh+xCxINYHTIjW+FTohS6fz5DEftnywb8s2WDThnRY7qNpAkhnAGcB9AGwA0A/wDoKqU8+1SfRgCCpJQPhRAvA5gspayf1mtzJE1/S8cOwcNbNxSx0Ss3wcXV+ka1p/68hoPrQyy28dENUdpSmyJQsko+vDqiOudvklXXzwZi3ZT3FLFXx7yLSg2b6JSR4zDiSFo9ACFSyktSygQAawAohl6klIeklA9TLo8AKK5xjvQcfvnmU1WBNnL5z1YLtMQEE+YO2WWxQKvarBiGL2jJAo0oHZxdnDB8QUu07uOnarv2bxjmDd2NuKhEHTIjW1Cisj9ef2eSIrbtuy9xM/islTsou+lZpBUDcP2p6xspMWv6A9hurVEIMUgIcUwIcezevSWyn1oAACAASURBVHtZlCJl1N6VSxHyj3Ifs6GLVsIth4fF/iHH72LRKMv7P/X5qjGada2U5TkS2btKDYpgyNzmFtuWTNiPEzuuapsQ2YyyteqizcARitiaSW8j7Jb10y8o++hZpFkac7f47FUI0QLJRdo71l5MSrlISllHSlmnQIECWZQiZcTJ37fi2NaNili/7xbC0zuPqq/ZZMbSifvxx/dnVG0V6hbCsPktOHpGlAnOzsmjaq0sjKod3ngRc4fsQlKCSYfMyOiqtX4J9ToqV+X/MHYwYsIf6ZSR49KzSLsBoMRT18UB3Hq2kxCiGoDFADpKKR9olBtl0IWjh7Drh4WKWJdPvkbeIurB0ZiIBMwfvgexkerHLl0n1ceL/atw3gxRFvFtUAQDv2tqsW3hqL24dz1S44zIFrzQrQ/K122oiM0f1ANJCZbPSqbsoWeR9g+ACkKIMkIINwBdAGx5uoMQoiSAjQB6SinP65AjpcPdK5ewZbpyl+r2Y99FsUrqT/DBh2/jh7cPqOJe+dwxdF4L5CuSM9vyJHJUbjlcMHxBS1R5oaiqbd1n/2D/Wv54JbWOEz5A3iLKvzMze3aCPW7dZVS67pMmhHgFwHcAnAEslVJ+JoQYAgBSygVCiMUA3gDweAJFkqXVD8/i6k7txEVFYW7/LopYsx79UKd9J1XfxeP2WTzW6eUh/ihbg4+oibTwKDQGP02yfP7tsPktOIpNClJKTO/SXhHLXaAQBs5ZolNG9omb2VKWk2YzpnftoIhVad4aLw0do4glJZiw0MriAJ4aQKQ9aZaYN2y3xbbuUxogTyFPjTMiIzObTJjRTbnvZdUWbdB2yGidMrI/RtyCg2zcnH7KEbScefKqCrTbF8MtFmilq/lg+IKWLNCIdCCcBIYvaImGndRnfP406QgCdl+3cBc5KidnZwxfskYRO7N7JwL+/F2njBwHizR6Lr/N/gYJsTGK2OD5yxXXe1edw8avj6vufeOd2mg3rFq25kdEaav1Yin0/qKRKr5/7QWsmmz5kSg5phxeXujz7TxFbOf3c3D7wjmdMnIMfNxJGRbw1x/YuWi2IjZy+c9P9kIzmyXmW3mUMmR2czi78rOBUZnj4pBw9SqiDx5CxO+/Iy4gIO2bnJzgUb06PKpVg0eN6vCoXh0uRYpwbpMNkVJi3lB+z1LaQv45gl+++VQRG75kDXJ4eemUkX3gnDTKErdDzmHVB+MVsb4zFiJf0eStNhLikvD9mH2q+9w9XTBguuVtACj7SCmReP06Yv7+GzH//IOI37ZDJhprx/m8PXsiz5v/g3uFCizsdPbX8rMIPnxHFe/+SQPkKch5apTs4NoVOLJxrSI2bs1Wfv9mAos0yrToRw+xYHBPRazjhA9Rvm4DAMDDO9FYNfmo6r76Hcqgzivqw58p6zwuxu7Pm4/wzZv1TidLlFz2A3I2aKB3Gg7n2tkH2DrrtCrebng1lPb30SEjMqIfxg5B2FPH/+XMmw9DFvyoY0a2jUUaZYrZbMKMrsrVPXXad0KzHv0AABeOhWLH4n9V9/3v3TooVDq3Jjk6mphjx3C1R8+0O9qR4nNmw6tlSwgnPn7LTrFRCVg6Qb2fYe2XSqHBa+rFBuR4LG3NUeuVjmjRe6BOGdk2FmmUKcsnjsD9a1eeXOcvXvLJJNJdK4IQdPC26p5+XzeBRy43rVK0azIpCfcXLcL9WbPT7vw8hEDuV15BrhdfhEeN6nDJnx/C5flW3kopkXjzFuICTiP2dABiAwIQe/o0YDZncdLJCn38EfJ27vzc+ZJl1uaW5iuaE10/rq9DRmQ0CbExmN2nsyLW6d3JKFMzze1M6Rks0ui5nfxjG3YtXaCIjV39C4RwwqrJR/EoNEZ1z+DZzeDi6qxVinZFSon44GDc/ngS4gIDM/Va7hUrIn//fvCoWROuRYpAuLpmUZZZxxwdjei//8adqVORdEtd7GdU4cmTkKdTJwg3fkDICsvfO4ioh/Gq+LB5LSCcOAfJ0d29cgkr3hmliA1bvAoeufgEJSNYpNFzCbt1Ez+MHayIDVu8Cjm8cllcDeaR2w19v2rMCaQZJBMScGP0GETttrzCLj3yDx2C/P0HwNnLPo7WSrhxAzdHjUbc2bPP/RpezZuj+OxZhixObcm+NecRuOeGKj50Xgs4sVBzeKd3/oY/Fyu35+BCgoxhkUYZZkpKwnfdX1PE3vhgKkpVrWFxt/LKTYqiRQ9frdKzeeaYGFzu3BkJIRef6/7S69bCo5pj7TeXePs2br3/PmIOZ3wPr/wDB6Lg+HHZkJVjsDbvdMjc5nB25hxBR7fyvbEIvXThyXWR8pXQ7bNvdczItrBIowyb3qUDpPxvHpF/q7ZoPWCExXkqzbpVQtWmxbRMzyZJKXHvu5l4sHBhhu7zqFULxefOgUvevNmUmW2SJhNiTwfgWp8+kAkJ6b6v8CdTkLdz57Q7ksK965FY99k/qviA6S/A3ZOjlY7M0kKCNoNGolqrtjplZFtYpFGG7F7+PU789osiNmblFiwYuUfVt+PYmiheicVDahJu3MTF1q3T3T9vjx4oMGI4nPPkycas7I+UElF//YUbI0am+55iM2cid9sXszEr+xIdHo9l7xxUxXt+2hC5fTx0yIiMIjYyAvMGdFPE+s9ajDyFCuuUke1gkUbpdu1MAH6e+r4iNmzxz1g68bCqb4+pDeBdgJtcWiKlxLXefRDz99/p6l/u9+1wK106e5NyMNF//41rvXqnu3/xeXPh1aIF59KkISnBZPFM3m6T6yNvYfuYE0nP5/LJY9j45WRFjPPT0sYijdLF0pLqzpOmY8ss9aThATOawt2D2x48K3L3btwYOixdfcv8shk5KlXK5owIACL37MGNIUPT3b/CoYNwyZcvGzOybdIsLc5NfevDuvApnkuHjMgofpv9DYIO7HlyXbBMOfT8cqZ+CdkAFmmULjO6dYTZZHpyXaf9WzhzQD3XjOf5KSXevo2QFi3T1bfAmNHwGTIkmzOi1DxcsxZ3Jk9OV9/ic+cgV6tW2ZuQjbJ25ucbb9dG4bLeOmRERvHtW68qrtuNfhu+jXg0oDXWijT+lqUnjv+6WVGgubi5WyzQhs5lgfbYow0bEeTrl64CrdLpU/ALDmKBZgB5u7wFv+Ag+P57Bvl690q1743hIxDk64d7c+ZqlJ3tEEJg+AL13/0N047j+tkwHTIioxi+ZI3i+teZ0xATEa5TNraLI2kEAIh6GIaFQ5S/rNzzjIQQyhVbXG6fPHpw9+tvELZ0aZp9SyxeDK8mjTXIijLLFBWFqz17IT4oKNV+hd5/D/l6pV7YOaK5Q3apYq+NrYliXFTksM4fOYCtM75UxDg/zTKOpFGqni3QXL3eVBdos1mghX7xBYL9KqdaoOWoVg2+gQHwCw5igWZDnL28UHbTRvgFB6HU6lVW+4V+/gWCfP3wyE4Oss8qlkbUNs84idArETpkQ0ZQsUETFCmvnHO7Y+EsnbKxTY79G5cAAL/O+lpx7eRSGs6uJRSxwbOaOfQjzrCVPyHI1w9hy3+02qfUyhXwCw5CmXVrucO9jfOsWRN+wUGo+I/1lbm3330PQb5+iPhjh4aZGZulQm39l8fw4GaUDtmQEXSdqvz9cmb3Tty/flWnbGwPH3c6uNsh57Dqg/GKmHuesYrh6EEzm8HV3THP4Yw7dx6XO3ZMtU+lE8fh5MltSOyZOS4O52rUTLVP8fnzkKtFC40yMi5riwm4PYfjenjnFpaOHqSI8bGnEh93kkpSYqKqQHPL3V/xjTPwu6YOWaCZY2MR5OtntUAT7u7wDToLv+AgFmgOwClHjuSFBgGnrfa5MXQYgnz9ELVXvX+YIxFCYNh8dbG6avJRRIerD2on+5e3cFHUbqf8Wfrz1A90ysa2sEhzYM8enO6SoyGcnP9bNt//2xfglsOx9kGTUiLI1w/natay2sc3MAC+p0/xU6ADEm5uycVaYIDVPtcHD0GQrx8id6tHkxyFEALD5qkLtWXvHERSosnCHWTvmvcaqLi+/m8Arp8N1Ckb28EizUFdOvkPIu7dVcRcPBo++e++05ogR07HmVclpcSNkaMQ7FfZap+KRw7DLziI880IwtUVfsFBqHTqpNU+j0fWEq5d0zAz4xBOlgu1hSP3wh6n2VDahn7/k+J63ZT3YDazaE8NizQHZDabsOnLKYqYu/d/O+T3/KwhPHO7aZ2Wbh6uWYtgv8qI3LnTYnuZjRvgFxzEczRJ5fFj0IpH1EemPXbxxbYI8vWDTEzUMDNjEE4CQ+Y2V8UtzVkj++eZ2xsteitH1H56f5xO2dgGFmkOaM3HbyuuXTxbQTjlAAB0/bg+cud3jEOSY44dQ5Cvn9Wd5wt99CH8goOQo7L10TUiAHDOkwd+wUEo/9efVvsE+1fD3ekzNMzKGJydnTB4VjNV3NK+amT/ar2inJt29/JF3Dqf+t6EjoxFmoO5c/ECbl84p4i5uFcHALw+vhbyFbX/1VePFwVc7dHTYrtHndrwCw5Cvu7dNc6MbJ1rsWLJ27Bs3GCx/cGiRQjy9YMpyrG2pHBxc0a/r5uo4is+PKRDNqS34UuVpxGs/mgiH4FbwSLNgUgp8dP7YxUxd+/kA6fb9K+MohXs/3He/QUL01wUUHrlSg0zInuUo3Jl+AUHofDUTyy2n69TFw+WpH1ihT3xyOWGrpPqK2IR9+NwcEOIThmRXnLk9MIL3fooYhu/mKRPMgbHIs2BbJs5TXHtnKMBhJMHarUtiYp1C+uUlTZkQkLy+YvffWexvdyff3JRAGW5vG++Cd+gsxa3abn79dfJc9UcaAQhX5GceHVkdUXs1M5ruHz6nk4ZkV7qdfyf4vrK6RO4d/WyTtkYF4s0BxF26wbOH96viLl6NEKeQp5o+Hp5nbLSxqMNGxFcrbrFtmLTv4VfcBDciqsPkifKCkIIVDpxHOV+326xPdivMqIPOc5jv1JV8qP2y6UUsd/mB+JRaIxOGZFeBi9QnuDy49sjdcrEuFikOQBpNuOHsUMUMbfc/QEA3ac00CMlTTze8+z2B+pNE4WHB3yDziL3K6/okBk5IrfSpeEbdBbCQ70w51q//gjy9dMhK3006FgOeYso57/+NOkIEmKTdMqI9OCVNx9qt3tNETuwZoVO2RgTizQHsG/VMsW1k1tlODl7Y6iFPYzshSkqyuqeZ2W3/wbfkye4GS1pTggB35MnUHrtGovtQb5+iL/kGI98uj0zPw0Avh+7z6Ee/xLQrGd/xfXRTWsRH8NR1cd4dqedi4+JwZy+nRUx9zxj0f/bF+DhZZ97oYVv2YJbb79jsc0vmEu9n5ZgSoBE8s8AgeSiNdGciNCYUNyIvIF/7/+LY6HHcPbBWUQl/rci0cXJBYU8C6FErhLwy++HojmLokjOIijjXQbFvIrB2cnxjhJ7HtZGz9x9fVF28yaNs9GeNEvMG6bcM83F3RmDZ6q37CD7FXopBCvfG/Pk2tnFBWN+2qxjRtqzdnYnizQ7N39wH8Q8uv/k2i1XF/zvvfYoUs47lbtsV1BVfyBJ/cik8JQpyPtWZwt32LckcxKuRlzF8dDjWB28GiGP9FlJ55fPD6NqjULdwnXh7uyuSw5G9WjzZtx+9z2LbeV374JrkSIaZ6StuOhELBmvnC9b55XSqN+hrE4ZkR6Wjh2Ch7duPLl+4/1PULq69ZX49oZFmgO6GngO6z996gB14YFGXb5Ew9fK6ZdUNjHHxlrdWqPi30fhnDu3xhlpLzoxGgduHsA7+96BSdrOUSsuTi4YW2ssXin7Cnw8fPRORxcyIcHq4pZ8vXuj0HvvapyRtm5deIhN3yqP2HrjndooXMY+P0ySmikpEd91f10RG7dmq8NMS2GR5mCSEkyY2VO5s7NH/hEYNu8lnTLKPhF/7MDN0aMtttnz400pJfbe2IuRu+xzRdTcVnPRuGhjh3p0evvjSXi0bp3FNt8zgRAuLhpnpJ39684jYNcNRWzwrGZwcXOcP39Hd3rnb/hz8bwn19VfbIfW/YfqmJF2WKQ5mFn9ZiAx+q8n187uNTHqhylwcraftSJSSpxv0BDm8HBVW6H330e+XpZPFLBV4fHhOHzrMCbum5gtr+8knNC4aGM0KNIAFfNVRMlcJZHHPQ9yuOSAk7D89ybJnIR7Mfdw7uE5BN4PxK5ru7LtkeqadmtQxadKtry2kSTeuoWQlq0stlU4eAAu+fNrnJF2LB0VNXxBSx0yIb18+9ariuuRy3+GWw77P6qQRZoDOb3rKv5cOFwRG7JoA3J6289coKSwMFxo1NhiW4XDh+CSN6/GGWW9JHMSfgr6Cd8c+yZTr+Pj4YPhNYajafGm8PHwsVpwZSeT2YRT905h/qn5OHrnaKZf78P6H6JThU5wdbbPzYel2YxzNWtBxser2kosXACvZvY5sd7SQoKyNQrg5SH+OmVEWntw4xqWjR/25DpnnrwYstD+t+VgkeYgYiISsHDoaJiTrj+JNek2AfU7NtcvqSwWsXMnbo4cZbHN1h9vxibF4oMDH2Dn1Z3PdX+bUm3wdt23UTin7ZwgcSf6DtafX4+FAQuf6/4VL69AjYI1sjgrYwjf9ituTZigiufr3w+FJmbPiKreYiMTsHTiAUWs08TadrvYidQWDe+LyPv/nULR86tZKFjavheSsEhzAFJKzBm0GQkRSxTx8Wu36ZRR1rs5YSIitqn/f/IP6I+CFn6Z2YIkcxLmnpqLxYGLM3zvhDoT0KtyL7ubXHs/9j7G7xmPE3dPZOi+pW2XolbBWnY1j83aqLFn/footXyZ9glpIPjIbfy1TPmBa8ic5nB2sZ/pGmRdYlwcZvVWHhtlT7/HLGGR5gAWj9+H8BvK8zkHL/gRXnnz6ZRR1gryrwYkJqriZbdthXt52zva6tTdU+i5PWPz5jqU64DJjSbD1ck+H/NZc+T2EQzcMTBD93zS6BN0KNfBLgo2aTYjuLJ6Pp6TpycqnTiuQ0bZ74d3DiAmPEER4/w0x7F72SKc2L7lyXXboWNQtXlrHTPKXizS7Nzl0/ewbdZvSIj6+UmsTM266PTuJB2zyjrWNv30DTgN4WY7m/ImmBLw2dHPsPHCxnT1dxbOWPnKSlT1qZrNmdmO0OhQtF6f/h/WLsIFe97aA293239cZu37wNYf81vz7EIC/2bF0LRrJZ2yIS1JKTG9S3tFzJ635GCRZsdMSWYsGLEHcQ+nK+KjV26Ci6ttj7hYG0FwLVoU5Xf9ZeEOYzKZTWi/uT2uR15Ps2/joo3x5QtfIk+OPBpkZtsiEyLRaHWjdPdf3W61zRe8V3r0QOwx9eiZPRZq8TGJWDxOudFtr88bIVe+HDplRFoKPrgXv876+sl13Q5voGn3vjpmlH2sFWl8wG8HFozYA1PCeUWsQae3bL9AS0y0WKDlHzjQZgq0JHMS/Jf7o8aKGqkWaPly5MPRbkcR2DsQC9osYIGWTrncciGwdyACewdid+fdafbv+mtX+C/3T/dIphGVXrkS+Xr3UsWDfP3s7txLd09XNOlcQRH78f1Ddvf/SZb5NlauYv5nywaYTbazUXdW4EiajTvyy0Uc335VNYpm68PC1kbQis2cidxtX9Qho4y5FXULbTe0TbPf0rZLUbdwXQ0yciyHbh7C4D8Hp9mvb5W+GFt7rE1+rzz8+Wfc+ehjVbxSwGk42dAUgPR49rFnTm839PmqiU7ZkJbuhJzHTx+Me3JdukZtvPHeFB0zyh4cSbNDEfdjcXz7VSTFKY9TaTNopE3+0nlMSmmxQCv100pDF2gmswnbLm2D/3L/NAu0w10PI7B3IAu0bNKoWCME9g7EiR4n8HLpl632++HfH1Dtx2pYFLAIZmnWMMPMy/vmmyi5bJkqfq5adSSFhWmfUDYaOq+F4jo6PAHXg+zr/5EsK1y+ouL6yqnjiI+J0Skb7XEkzYbNHbILUkrEP5qhiNvyUmUpJYL9KqvipX/+GR7+xp1L9PuV3zFxb+r7VhXNWRS/v/G7TRfQtuzwrcMYtHNQqn3mt56PJsVsa4Qm/tIlXHqlnSpedusWuFeoYOEO23Tj3EP8MkP5gXTYvBYQTvx+sneRD+5j0bA+T67zFS2OvjMW6JdQNuBImp3ZvTIYAJAUu08Rf+1t9eMPW2GtQCuzcYNhC7SDNw/Cf7l/qgVa+7LtEdg7EH/87w8WaDpqWLQhAnsHYstrW6z2GfrnUPgv90d4vPqoMaNyL1sWFQ7sV8Uvte+AqL17dcgoexSvlBeeuZWPcb8fu89Kb7InufL7wCu/z5PrsFs3EBsVqWNG2mGRZoOiHsbj7IFbkDIJpnjlKq9ytevplFXmWC3QNm1EjsrquN7C4sLgv9wfQ/4cYrVP3yp9Edg7EJ+/8LmGmVFayniXQWDvQGzqsMlqnyZrmsB/uT/WBq+1icegLj4+qHjsH1X8+uAhiPhjhw4ZZY8+Xyo39U2MN+FWyCOdsiEt9Zo2W3H948QROmWiLRZpNkZKieXvHQQAJEZvV7R1nfq1pVsMT5rN1gs0P8v7QunFZDahxboWaLbW+tmJA/wHILB3IMbVGWe1D+mvfN7yCOwdiKVtl1rt8+nRT1H9x+q4E31Hw8yej7OXFyqdVJ/QcHP0aIRv+1WHjLKecBJ44+3aitimb07AbDJ+IU2Z4+GVC/mLl3xyHRX2ANGPHuqYkTZYpNmYQxtCAABSJsKceEHRVrSisQqa9JBJSRYXCZTZuMFwBdqhm4dQY0UN3I+9b7G9h18PBPQKwOhaozXOjDKjbuG6COwdiHfrvWu1T5v1bdD3975IMidpmFnGOXl4oFLAaVX81oQJiNqvfiRqiwqX9Ya7p4si9tOkIzplQ1rqOvUbxfXSMWmv4LZ1LNJsSPSjeJz6M3mvrcQY5T5hvb6eo0dKmSITEhBc1V8VL/3zz4Z6xBlviof/cn+rWzo0K94Mp3qewjv13uGcMxvW3a87AnsHwt9H/XcSAI6FHkPNFTVxLuycxplljJObG3wDA1Tx6wMHITZAHbdF/b55QXEdcT8OEfdjdcqGtOLu6Yki5f87cSIhNgaRYZY/NNsLFmk2ZNm7yY85pZQwJ5xVtBUoWVqHjJ6fOS4OwdWqq+Kl16w21CKBDec3oM5K1YKbJ471OIY5rebYxfmQlGxVu1U41fOU1fb/bf0f/JdbLuSMQri6wvffM6r4lc5vIem+7f9Sc3ISaD9K+fNjxYeHdcqGtPTmR58prle+O0anTLTBIs1GPL0nUFLsAUVbjy++0zqdTJEmE87VqKmKl1rxIzxq1NAhIzUpJfyX+2Py4ckW23e8sQOBvQPh7uyubWKkCWcnZwT2DsQvHX+x2sd/ub+h56oJZ2f4nv1XFb/Q5AVIO9i1vWTl/KrY39su65AJack1Rw4ULvff1jIx4Y8QFxWlY0bZi0WaDZBSYsvM/z7Zm+KVq7gKlS2vdUqZElxFPVJWcukSeNY1xsauD+MeotqP1Sy29fDrgcDegSjiVUTjrEgPZfOURWDvQPSp0sdie5v1bfDm1je1TSoDhJMTfM8EquKWvgdt0ZA5zRXX/2y7zEUEDuB/HypH09ZMelunTLIfizQb8Mei/x5bJMUpt9zo/LFtbe8Q5KteDFB83jzkbJT+Q7Kz05TDU9B0bVOLbUe6HcE79d7ROCMygvF1xuNYD8sbZAeHBcN/uT9iEo25C7pwcUGl4+rcLX0v2hpnFyfUfrmUIjZ/+B59kiHNuHt6wrtQ4SfXD25cQ2J8nI4ZZR8WaQaXGG/CxZP3nlwnxSo3pyxRxfKIjxFdG6yeeF/022+Qq2ULC721FZ0YDf/l/lh/fr2q7ZUyryCwdyByuubUITMyCndndwT2DsT81vMtttdfVR87rhhzTzKnnDlR9rffVPFbH3ygQzZZq0HHcqrYg5v2+/iLknX79FvF9cYvJuuTSDZjkWZwi0b/V5SZ4pWLBTqMe1/rdJ5bxI4diN6r3B284ITx8G6nPs5Ga5subEKDVQ0stu3uvBtfNf1K44zIyJoUa2J1YcH4vePRaLUxRoWf5V62DApPUR5MHb5hI6L2H7Byh+3o+WlDxfWaqX/rlAlpxTO3N9w8PJ9c3wg6A7PZ9udaPotFmoHdv6E89iIx5nfFdYX6xvxl8KzEu3dxc5Ry7zDP+vWRf8AAnTJKFpMYA//l/vj4kOWjtAJ7B8LHw8diGzm2xwsLxtcer2qLTIiE/3J/RCdG65BZ6vK+1Rk5qilH368PHIikh7a9KWhuHw9V7OTOazpkQlrq/c1cxfWupQt1yiT7sEgzsLWf/rdAwJRwUdHWqv8wrdN5LtJkQkhT9e78pZYv0z6Zp9yJvoP6q+pbbJvSaAoCe6snWxM9q0/VPjjU9ZDFtgarGuB6xHWNM0pbmXVrVbELDRtBmm17wv3Quc0V14c2hHARgZ3L7VNAcX16p/qRvq1jkWZQp/5UfgpMjFZuBVC9zctapvPcLK0i8wsO0iGT/2y9uBVt1rex2HagywF0qtBJ44zIluVyy4WAXpY3iX1l0ytYd26dxhmlzdL3oKWTP2yJk7MT/BorV12vmnxUp2xIK29NUU5HCfjrD50yyR4s0gzIbDLj4PqQJ9fSrHzsWfvV121iZ/t7s2apYhWPWV4hp5Xxe8bj/QOW5/IF9AqAt7u3xhmRPRBCILB3oMUCf+qRqWi2thkSzYk6ZGadpeOjbH3FZ8ueyvzD78UiLtpYX3fKWsV9lR8udi6abaWnbWKRZkCbp59UBpK2KC6bdOmlYTbPJzH0Lu7PU66CKz5nNpy99Fkh+Xhz2h1X1avvRtQYgcDegTZR+JKxTWk0BctfWq6Kh8WFodaKWoba/NbJzQ1lt25RxW+OG6dDNlnn5cHK0yCWjLePM0vJutYDlNN/bgaftdLT9rBIM5jEBBNuXwx/ci2lRHx06JPrvEWKwcXVVY/U0k1KiZBmJOL+yQAAIABJREFUynloLgUKIFfr1rrkY5Zmq5vTbuiwAYOr2/8hvaSdWoVqWZ2n1mZ9G1yNuKpxRta5V6iAgm8rNwKN+G07Iixs12ErytYsoIpFhtnnHlqUrFpr5fQfe9rclkWawaz4QPnDvXAp5SeCZ88tM6JgP/Xh6BX277PQM/slmZNQ/Uf1GaEAcLTbUVTMW1HjjMgRpDZP7dVNr+LYHX0f+z8tf7++cC1WTBG7OW68Ta/47PJRPcX1j+9bLprJPgghULlpS0UsPsZ4q6ufB4s0A4mNTEBspHL+xNXTykmQufIbe0uI0K+/VsV8Lcx90UJkQiRqrlCfEQokzz/zdPW02EaUFR7PU7Ok7x99ceT2EY0zsq7cnztVMVte8Zm/mJcqdudSuIWeZC9aDxyuuN42c5pOmWQtFmkGsnSiclPJGq2UfzwdJhh7d/CEa9cQtmSpIlbi++8h3Nw0zyU2KdbipqKtS7bm/DPSVGDvQNQvot7uZeCOgdh3Q58R5mcJIVDp1ElV3JZXfPb5qrHiesO041Z6kj1wdXOHi7v7k+srp+zjz5tFmkE8vKMemj2y/hvFdYW6DVV9jEImJODii20VMdcSJeD1QhPNc4lOjEa9n+qp4hPqTMCMFjM0z4do8YuLMa62ekL+8L+G49AtYzyKc8qRA+X++F0Vj9hhzKOu0pLT210V42iafXv2qCh72I6DRZpBPLufT8ueJRTX1Vq9pGU6GRZcTT3vq/xO7X+4m8wmi0c8TW8+Hb2r9NY8H6LH+lbtiwWtF6jig3cOxj93/rFwh/bcSpWCz3DlY6Obo0ZDmmzzuJ0BM5oqrjmaZt8KlCytuLaH7ThYpBmApZVHp3d8r7hu3kvfI5RSc3PCRFWs0skTOmQC1FhRQxVb1GYR2pSyvHktkZYaF2uMDR02qOL9/uhnmDlqBUaOUMUsbUptC9w9XFSx0CsROmRCWmnWs7/iOvLBfZ0yyRos0gzg2ZVH7UdVV+zz4umdB645cmidVrrEBQUhYts2RazY7Flw8lCfpZfd/Jf7q2KL2ixCw6LGfUxMjqdi3orY+T/1RP2BOwbi4qOLFu7Qnu+/Z1Sx6CO2uXv/4FnK7YDWf2mclbWU9Wq3e01x/cs3n+qUSdZgkaazhLgkVSwxNkRx/drbH2mVToZIKXH5deUO684+PsjdRttRq8cb1T5rdsvZLNDIkArnLIwDXQ6o4q/98hquReh/MLhwdkaJRcrDqq/16aNPMpnk4uasit25zLlp9koIAe+ChZ5ch14KgZRSx4wyh0WazpZMUO6G/dq4mtg8baoiVqR8JS1TSrcLTZuqYlrvh2Zto9pPGn2C5iWaa5oLUUZ4u3vjcNfDqni7Te0QkxijQ0ZKXha+vy80bWahp/ENnq3Me8NXnJtmzzq994niOvjgXp0yyTwWaToym8wwJykr/CLlciuufRsb84di4p07MN1TPuuvcGC/pltbmMwmixvVDqo2CK9XeF2zPIiel5ebF/a9pf5gU39VfSSZ1aPsWvM9o9znLenuXSQ9eKBTNs/PxVU9msZTCOxXvqLKzZl/m/2NlZ7GxyJNR6s/+Vtx3XFMDRz6eZUi1nqAcqWVUYQ0b6G4zj+gP1x8tNtoN8mcZHGRQIsSLTCy5kjN8iDKrLw58uLX139VxWuuqAmTWd9VlcLFBT6jlN9PFxprv61OVnh2pSdPIbBvdTu8obiOi47SKZPM0bVIE0K8JIQ4J4QIEUK8a6HdVwhxWAgRL4SYoEeO2elRqPKRRnHffDi6aa0i5u5pvF3xQ6epTxUoOEHbP56W61qqYvlz5MeslrM0zYMoK5TMXRILWy9UxS19ENFagWHDVLHQL77QIZPMsbTSMz4m0UJPsgeN3+qhuN79g/r7yxboVqQJIZwBzAXwMoDKALoKIZ499DEMwCgAtjtWacWB9RcU1y16+iIyTPn4sM1A9VJ4vZnj4xG2VHmqQMVj2q6WmnxoMh7Gq88V3PPWHk3zIMpKjYo1wqBqg1Tx5muba5/MMyoeVW4PErb8R8iEBJ2yeX7dpyj3UFw8br+VnmTrnF1cFddn9+/WKZPMUX+00E49ACFSyksAIIRYA6AjgCd7T0gp7wK4K4Rop0+K2ef0n9cV15UbF8WaSW8rYv6tlDv4G8G56spP9q5Fi8LZK6dm77/pwiZsuKDeZ8raYdb0HKQE7gUD9y8AYZeA8BtAnhKAkwsQ+wgIvw7cPA6YTYA0AZGhgEcewNkVKOALlG8N+L4KeBdL+71IYWTNkVh/fj3C4sKexB7EPcB3x7/DmNpjdMvL2dsb7hUrIv78+Sex4GrV4RccpFtOzyNPIfWTiaQEk8UVoGT7Oox/H1u+/fzJdfjdO/AuWFjHjDJOzyKtGICnK5UbANQH3KWTEGIQgEEAULJkycxlls3O/31HcV2+dkFIKRV7o+XMk9dw50uawtXL1sv99adm738r6hY+PvSxKn6i5wnDfa0Mz5QEhF0EbhwDto4CMjtJPTI2+d+PrgEXdgDb31b3yVkAaDQS8H8T8CoEOPEXoyV739qr2lJmyZklKONdBh3Ld9QpK6DML5sR7Kd82BH+66/wbmdbn6HbDa+GX+f+96Huj8X/ot0w9Qpxsn3lnzlKcdvMaej+2XSdsnk+es5Js/Rb9bk3M5FSLpJS1pFS1ilQoEAm0sp+O5eeVVy37lMZl08pHxl2nPihlimly/n6ykcFhd5/X7PiKNGUiLYb1COLB7ocgKuTq4U7SOXRdWDDAGCyNzA1PzC3HvDLsMwXaOkVfQ/Y+TEw3Q/4JF9yHrNqJo/YkYKlkeEPD36IQzf1m+wuhECpVT8pYrfGT7C5I6NK+ysXOF0JsO0d6ck6IQRyF/hvz7Q7IedT6W1MehZpNwA8fUBlcQC3dMpFM2G3lQepO7s4wdn1/+ydd1gU19fHv7P0IgJSFZEi9t67xm5M1ESjiWmabmJ6I7ZoYkv9JW+aKSYxGk2xG+y994YFFRXpRUB633n/WGW5OzMLLHunLPfzPDxyztzlHmHLmXNP0WHLN+RgWLX1RiuOiRHovJ96Urb9u6zoItCtH7seDZ0aymaD5rh1GPhxoMEZmtsQ+KodEP2v0laRZN0Avu1mtPH3B4CE44aj1HoMx3E4NlnY4f/FnS8iv1S5KjXXLsLXoRZHRrUfSB7FXzuZppAlDNqMfWcmISfGXFTIEstQ0kk7ASCC47hQjuMcATwKYKOC9sjCqnnkG+/kuT3B8zxRHhzcTtj7S2lujiP7joWuWyvb3rMPCScufDHwC4R7hstmg2ZIPgt83cng8Pw2Ckg5q7RFtSPuALB0mCHStn224Vi2nuLq4IrfRvwm0Pde1VvRDupic3lLrqtjnFVN6TepBSFv/0VbH9yMmuMXEkbIUV99opAllqFYThrP8+Ucx00HsA2AHYBfeZ6/yHHcS3evL+E4LgDASQAeAPQcx70BoA3P85qckFtRrhfoPHxckHCJbBg59DlhybuSZK1cKdA5t24ty96x2bFYH7ue0A0JHoLhIcNl2V8TZN0Eji0xfFmDbs8AnZ8A/NoCDhbOjC24DcQfBc6sAK5usexnHP4/wxcAdH4SGPYR4Opt2c/SKN0CumF4s+HYfms7oZ+6bSp+H/m7IjbpXFzQ6KUXkbnE2NLgxugHNFVEoNNxhoSbKr5ubmYRPBrJP3OYQZ/GLdsg+YohzSg/O6ua1eqC0/JMKym6devGn5S5LURN2LvyCi7uT6qUBz/VGq37BOKnV6Yi73ZGpf7tv/8Te7gi8DwvSBZucfIE7Nzdqe9dVlEmeswZ/XS0yOp6SFkxsO4F4NIGyx4/5lug02R5E/h5Hri5D/ijDgnw45YAHSYBuvrTi1tsNu3aMWsR4RWhgDXi7wsBcz+E16OPKmKPJRTmluK398j5qa8sEfZfZGif7JQk/PrGi5Xyox99hiYt5Qk01BSO407xPN/NVF9/3uUUhud5wkEDgJa9DKXAVR20gOZkGF5p4qdMFejkcNAA8Ty0c0+dk2Vv1aKvAM7/YzjOXOBfOwft0VXAh3eAuTmGry5Pyl9hyXFA2CCjDXNzgOm1nKO4/iXgIy9gST+gRJtdxGuLWCHBwxsfVuzYk+M4hG4gI9ypc+cpYouluHo4Km0CQya8Ak3HRAkbsqsV5qTJRMIlMsTq09QdOh2HtBuxhH7kNOV6IZmiLypC4TEyh67VJXlyN3bd2iXQbX5oM3RcPX3KlhYAu+cbcrXWPl/zx717w+gMtbrf4CSpDZ/mRhs/vAN0eapmj0uNBhY1ATa9bojQ2TAcx2HHhB0CfYc/lGsd4dxSWNyUunChyEr1MmQKGU25dMjma9fqLVWL8XIz0hW0pHbU0088+dn0DRkBemC6oThgy3dkz5ZGQerp8XalMxnJcuvXD5wMR0w8z+ONvaSzOjR4KJp6NJV4hI1zaQOwsDGwv4Z3f6+fNzo9bo3o2mZtOA4Y843RYWvStfrHnPodmOcJHPkeKCuibqJSBLgF4IMeHwj0Z9OVKw5pcYKcP5z9x3KFLLGMVr0CCXnPcmEVO8M2GDHtdUJOvqqNvzVz0mRArGDAraETACAzMb5SpyYHreTmTYEu+JefZdlbLDrwv/v+J8vequL4z4ZjzX9qEFkaPNvomHk1o2+bHHAc8Pxuw//ptRo4Its+ABYEALsX2GwLj8mtJwt0T255EmUVysygtGvQQKBL/1Jbr1U7e/JjsKzENp879R3Tz9edv3ynkCW1gzlpMnBhH5mLdt+TrQAA6XE3CP3wF1+TzabquDHqfkL2e0+kgzwFEnITBDqxflE2TdYNg3O2uQZD69+8ZHBiBsg74F52vEMN/8852YCzp/m1+z81HAsnHDe/TqOcfVLosIrlb8pFq/PkKUHmTz8pZIllTP20LyGvnHtUYiVD63gFNq78PuOWMBChRpiTJgMH/yU7qrfuYwixm3rygRHqaGBbcOSIQNfoGWEBgbXheR73ryOdwzHhY+DqIJy3Z5OUFgC/jjJ04a+OGSkGp6W+zcfU6YDIW3cLH6qJMC4dZnB2izXZsUcSO50d/ntIWAF+JeuKAtYAnKMwAT9v7175DbEQJ1dyYkl+dolCljBoM/S56YRccCdbIUtqDnPSKFNeJgyd3xullHLN+Kbq3shHNfMn46c+Q8hNf/lFln1Hrhkp0C3ot0CWvRUn/qgh7yy+mrE/kfEGB8Wxnjiu5riXu9Z7uvl1i5sCZ4W9/rRMM49mcNSRztGETRMUq/ZseY6M7iW+NE0ROyyl2/0hhJyZVD+qhusbTduSrWwOrPxdGUNqAXPSKLP5e7J0/qmFfQAARXnk3f3gKS/IZpM5xDqHu/frK7LSusRmxyK5gKysOvjoQYnVNgTPA8sfAn4VziUluFcM4MzGYAkYscDwu2lkpmfY+mnAp2E2NcHg1JPC1iWT/pukgCWAzslJoCuNjxdZqU56PBhKyH99bJtH5fUd00DIxX3CLgJqgzlplEm4TIZTG3gbOrif276Z0Id16S6bTea4MfoBQg7bRH9SV1lFGR7aSI6d8nTytP25nEV3DFWJ13dLr5m43LaKAWjy6klgZqr09cJMw2D5mCj5bKLMvw+Ss1gvZ11GQVmBxGq6RBwib6quD6/mxkNFiJ1i2GKjdwZw39NkCyN9hboLRZiTRpGSQrLiKqSDT+X3h/5ZQVyzsyfzIpRAXyB8c3eKoN/R3NRBA4ADjx6gvq9iVJQDW2cAn5hxvNx8Dc5ZmzHUzOB5HlsvpODRn45g4pIjWHrwJq5n5Fd+OOUVl+HfkwmYuS4aB6/dRkl5BU7EZan7w8vBxfB7G79Ues1fk4EV44HyUvnsokQr71YCXa+VvRSwBLBvJGz3UpGvjMNoCcOfa0vIbOi6bdJpBBmIuLBH2H9QTSg2u7M+sPZzchDxyOfbia5r3f8+OcyplitdyYkUIWtWU9/zcuZl3Mq9Rei+G6KN0miLKC8B5vuZX/PONcC9mjU15GzCHUxbcQopOcXVrj0el4WPJSaS/XmMPLoa07ExOjX1RHpeCXzcHTG1byjsdOrIqQQAtJ8AtBtviFSKEbsTmO8LzL4N2Cl/g1QXTj1xCl1XkP3kDiQeQP+g/rLbEvL3X4ibZBwNdbVbN83M9Izo5k8MWt+x9BJadA9Q0CIGDXR25JSVfSuWosNQYT60WmBOGkWyksm7SDsHQ+Cyam80AOg36UnZbJKCLxP2WXJp21ZkpXWZ+N9EgW5A0ADq+ypCQSbwWZj0db82wMvCytqaUl6hx94rGUjOKcI/JxNwIYleVePGc8nYeM6YQzg/yvBB/Org5pjYrSmaequgsIHjDFG1c38bZpyK8bEPMCsDsNfuiCBHO0cMazYMO24ZIwIv73oZ5586L3sxkkvHjgIdX1YGzkGbjjCv58Gp6eaDYRWadeiMW+fPAABKi9TdAJsdd1LiTnohIUd0M0ZG9v/5G3HNw9c6UZO6kPLhXEJu9OKL4gutyJqrawS6A5Ns9Jgz8aR5B+3ZnRY5aGm5xQiJjEJIZBSaz9yC5/44iTkbLlJ10Mzxze5Y9P90D0Iio/DD3us4eiMTucXKNFqtpOMkQ8RMivm+wK1qqmpVzpeDvhTo3j/wvgKWAP6zZhGyaYRezTz4GulkXj3Bjjxtkf6TpxByfnaW+EIVwJw0Smz46gwhD3jM2APtxukTld/b2asjmJmzdi0h+71Jd4Zohb4Cc4/MJXR9GveBZ3WNSrVITBTwyxDp67MygKa1KxzheR59Fu1Cz4XqrU76ZGsMHv3pKDrM3Y6QyCjsupyG8grh9A1ZsHMwRNU8JaZ6/DYKOKatJqym/G8Q2el/y80tSC0wU0hBCe8nHidkvrQUvF6hv3stadram5B3/nZJIUsYNPEPDSfkI6vV26KHOWmUyM8iGyI6uxnC/RXlZFRh4JPPymaTFGXp8g+bnX1otkBnk7loez8xJKpLMTenxkdth2NvY+RX+xESGYXQDzYjuQZ5Zmri2WUn0XzmFsSm5ylnxBvRwBPCCC4AYMu7wKrJmh0pNbTZUIFu2OphihR6uA8hb0oSnnteYqW6YFWe9ZPzO7cqbYIk6gjj2BgFOaSDVrWq88oRsky93eDhsthkjtgBAwk54sB+qvuV6cuw6cYmQre4/2LY62zs6RizGdi7UPxar1eAkRLXTPh5/w0s2Fz35OunezfD8wPC0MTTxeJcpZyiMvy47zq+3yvsp1dThn5peH4tfKg9xnVuDFdHmf/uzYcCkQmGJremXIkyjJSamyOvTVZi47iNGLOerAjeHb8bQ5qZieRSIOh/XyKmg/HosODwYfA8r5qG3eYY9WJ7bPkxulKOO38boR19FbSIQYPuY8bjxEbjDZtan5829qmoDvb/dZWQ+45vXvn9vuVkawAHR2ETSKWx96X7hjQ5ShhZGh02muqesnPrCPDXY+LXpkQBIf2q/RE8z6PlrK0oteCI8OVB4XhneEvorJz03NDFAe+NbIX3RhpbPxSVVuDz7Vew9GDtZuHNWBeNGesMH4ZrpvVB12ZeVrXVLM4ewId3pKs/5zYE5mQBOjvx6yoltGGoQPfG3jcQ/XS0yGp6cI6OgJ0dUKUHVfby5fB+qppRXiogtJMPIW/+IRqvLBmskDUMWnQdPY5w0jITbsEnOEQ5gyRgx50UuHEmg5A9/Y2VboU5dyq/D2yu/KzOrD/+IGSvJ56gup+e1yMmK4bQrRuzjuqesnPiF+A3iZLuNy5U66AlZBVizLcHEfrB5lo5aAfeuw9xi0cjbvFovDeyldUdNClcHO0w+4E2lXufm1P76PD4Hw7jkSWHodfLeLR0r/pTio+8DRMhNIbYpI6dt3bKbkfEvr2EnLZwkew2WIIaoykM6+PmSd4UHlv/r8RKZWFOmpUxbWBr72S8Ey83aXPRfex4WWwyh+kbZ8CsmVT3m7ZTONOvuVdzkZUaZfssIOpt8WuRCYCnyBHbXaLOpyAkMgr9P92D84k1O2479+HwSudIFW0vADR0dai0adfbA6t/wF1OxGUjbMZmlMldXGDOUVuqfDpCbRGb1PHm3jdlt8Pex0egK0tOFlmpPro/QEYki/K13/iYYZ6YQ/uUNkEU5qRZmei9SYQ86kVjA9u4c2Rz29BOypamV+TJm8BdWlGKw8lkq4M9E/fIagNV9n8OHP5G/NqsDMMRmwSv/3UGr6w8LXm9Km8Pa1HpBDV0UXf/qXBf90pbx3ZqXKPHRMzcgjHfHkRWgYwfjFKOWuJxYNfH8tlhJY5OPirQXcm6IrsdzZaTkfrYwfLmxlmK6cD1qO/Oiy9kaJquo8cpbUK1MCfNyhzbeIOQg1oZS7pPbiKryuwdlW2gebV7D0IOi5JoN28lvjwl7OXk4yK829YkV7cBuyU+zGdnmq3gHPrlPmw4W32EYc203ohbPBqvDqE/qosGXz/aGXGLR2Pp09XfnJxPzEGXj3cgJDIKidmF1a63CnNzAIgcdR34HNj8rjw2WAk3BzeBbsKmCbLb4dpdHTOJa4tpqkDaTWX6DjLo0n0MeZqVnZIksVI5mJNmRcRKtau+2JNijD13nFyFb6JyImarU3i4yErr8eflPwlZLHdGk2THASuFkxMAGJLP7YT1OXo9j7WnExESGYXY9HyzP37nWwMQt3g0ujbzNrtOKwxp7Y+4xaPx25SafYD3+2QPTsdnU7bqLnPviOuP/wQc0VaLGLFoWlG5/N3VnVq0IG04e1Z2GyzBw9eFkFkrDtvDNC/t5Cb15UczJ82K5GSQb4BdRkgP0O724MO0zTFL7saNhOzcvj3V/UyPOQHx3BnNkX4Z+Fo4CgcAMDNVtDrwVmYBwmZsxlv/nDP7oxc81A5xi0ejuV8Da1iqOu5r5Ye4xaOx6OHqn3sPf38YczZckCdfTeroc9sM4Jr8CfiWIhZN6/FnD5GVdAn5axUhxz0qUfWsMh56qzMhXz6UopAlDLk4v0t9/dKYk2ZFjq4je0d1GWl00jKTEohrHYeNksUmKZLfjyTkkD9XUN3vxR3kmKkNYzdQ3U8WKsqA73uJX3srBnBwEah/PXgTAz/bW+2Pjls8Go/3lHbybYnHegTXKL/ujyO3ELlGplYSUo7an+OBIolomwo59Nghga6sQt4xXTpXdRS01BZ3L2dC3rMiRmIlQ8tE9OyjtAlmYU6aFblu0nrDycV4zHV6M+mUuDSQTiKnTVmqcFQMRzE/TuyYIMzTzBxLrfCxRD7dlM2AR6BAfTbhDj76z/yYmQvzRiBusY31jKsh5z4cjjOzh5lds+buEXFJuQxTAT6UcMY+aQZoZMyRh6PwfUaJSk+3PuQHodh7EIOhBF3uH0vIpl0YlIY5aTKhprETCc+TI1oCF9HtX9RnFfkG/XZXiRYVWmL/5+L6/m8DIX0F6j0x6Rj3nTCqcY/OwZ6IWzwa7k71u7+0l5sj4haPxtDWfmbXtZy1FY/9JMy5siocB8yUGLC9WGIGqAo5MOkAIe9LlL/VQNCSHwg5dtB9sttgCW0HNCHk8lJtjgxjSNOkZRtCvnZM+n1aCZiTZiWyUwsIeewbnSTXtupb895RNCi5FkvIng/RLUPOLyMT46e0m0J1P+okn5Gu5BwyhxDLK/ToMHcbpv5+QvLH7X1nENa9LHTs6jO/PN0d+94dZHbNkRuZlRMLqOHgDLxyXKgvzQMSRPQqxNNZOFXhUqa8g8N1CleyW0qfh8liqlPbbilkCYMWps2LT0WpKxWHOWlWYvvSi4RctfVGfnYWcU3JfLSK/ILqF1mRHbd2yLofdfQVwE+DxK+Z5DHlFpeh+cwtyC0ul/xxNxbejxAfZSt91UqzRm7VHv2uPBaP7/bE0q28820JdBKZxLF0GFAqU3uQOvL7yN8JedJ/k5QxpAr6UvU3iHV0JiPbJ6PilDGEQRXXhsYbmbQb1xS0RAhz0qzE7QTpNgopV8mE04DwFhIr6RNvMjsvbPNmqvu9tfctQj7xuHRESRN831tcP4dsEZGQVYgOc7dL/hg3RzvELR4t2+gmLRO3eDR8G0jPuP1s2xX8cYRyhGOcRPuNhYGayE/r6t9VoJO7pUTEEbLC+9Zjwhm+DIYSdBgyQmkTJGFOmgxcOkB21VeyiW3xJfKYwylMOJDZWlzLFt6RONs7i6zUCGkXgdsiXdtfPADoyJdS/0+lJym8ObQFLn4kMduTIcqJmUPxznDpm5sPN15ERl4JXSOkCgm2vEd3Xyvh5UT2hHpt92uy7m/vRe5ffPGixEp10WkoOcqt1ExknKFN2g4cSsilReqJkDMnzQqY9kcb/lxbQo49cUROc1TDwxvJXnAvd3xZIUusAM8DP4iUavu0AAI7EKoP1kqPkPnrhV54fag2JwYozfTBEfjlKelpBd0X7ERabjE9AzgOeEkkqfjEz4Z+eSpn+wQysrs3ca8yhlSB10AUsvNwshVOzBFWmWpreAaQ1fhXj6qneIA5aVbgiEl/tJD20qOOwrv1pG2OJDkmDWyDly2jtld6YbpA91LHl6jtR50/JUbqTCePb8/EZ2PV8QTRpZtf649eYY2sbVm9Ymgbf2x5vb/k9Z4Ld+G7PbGS1+tMQDtArAmzVL88FSEWxU7Kl3cMTjOTfoxpixfLur8luHqQJx8H/r6qkCUMubiwVz251MxJswLXT5MOiYOTsMv8PdoMGEzbHEmS33ufkN160us+/u2ZbwU60yoazXBhLRAr0mn+DbKycOHmy3joe+FkBQDY8eYAtGmsXG88W6J1oAcOR0q/jj7bdgW7Lku0zrAGH8SL67Nu0tvTSjzfnmy/M3KNvMfuLl26EHL2H8tl3Z/BkMLeweiMVx3hqDTMSaOM6cDWsC7yj2VRgnWx5Ay0ZSPpRe2owvPA6qlCvWew4esu7eduw0/7b4j+iB1vDkCEv22OdlKKxp4uOPCedK+tZ5edxI0M8zNR68SbIm/i/9fJ8HxRMdMcat5kAAAgAElEQVQ7Txfo9Lx8R45iN2paOPL0DSZfv3q9uv/OjNrTbrD5RtpKwZy0OlJRRr7BtO5Dnm0LigYczI++oQVfLl+yq9hRZ2e/ziIrNcBeieOY1415Z38eu4U8iWTiv1/oxRw0SjT1dsXK56XTBwZ/sY9eBWPDJuL6XR/R2c9K6DjhW/7OW/LOI/V9i6z4zl65SmKlehjwKFm0kp0ibysjBn1a9xtEyHJXP0vBnLQ6cuMsOQqqTf/GhHxp/245zZEkd+s2Qg75919qez277VlCbu7ZXJtHncU5wD4RJ+3RlYYk8rvMXHdB9OGzRrdGT5aDRpU+4T545b5wyetHbmTS21xsvufBL4FyylWmdeStrqST9PY+eSeAeD/xOCGnzZ8v6/6W4B9Cpiqc3BynjCEMagQ2b0nI6TevS6yUF+ak1ZHT28n+TD5N3Ak5N8MYVWroHyCLTWIkv/MOIbu0b0dtr7jcOEL+6r6vqO1FlS2R4vpWxgarfxyJE13Swt8dz/W3gfmkGuDdEa0gdQ8w+edjdDcf8qFQ97m6q3enthMe3yfmJcq2vxYHrnMm/QxjTwlPCxjahjNpo3T16EGFLCFhTlodMW1ia+9oLBowDZe26a+NeXV1Ia80T6Br5tFMZKXKKSsCzq0U6t+Pq/w2M78EczaI93ra/qayo7/qGzcXSU8mCImMond00f8toa44B0g8SWc/Sqy4vKL6RVbEqQV5fFiaKG+VKYNRHVeYk6Z9qnvjL8rLJeTm3SW61VNGzrP1Dw+TkYX+TaTbJaia1c+K610MDTlTc4rRdb54Lk91o4wYdDD3ew/9YDO9ZO/nRFIafhlCZy8rMbHFREL+8/Kfsu7f5MsvCDn5bXmPXC2hcYRwBirDtnBvZGyflZOmjn54zEmrA4U55Oy5lj3J48zsZPLu0LtxEHWbxCg6dYqQm/64hNpeprM65/aZS20vapQWAFeihPpZhiOOsgo9ei3aJfrQU7OGiuoZ8nDwfelodU+Jv1mdCRKOXAKg6mjajJ4zBLrSCvlmaTqGk3mERefOyba3pfSfREb/CnLUnXvIqD0te/VV2gQBzEmrA1mpZIVPq96kkxZ/gXzjUWoc1K0nniRktwEDqOwjFrHzc/WjshdVrksUe9gb5ke2mLVF9HLf5o3QyF16xiSDPkFermjq7SJ6LSOvBLHplNpyvHZGqFNxNM1OJ+zluDdhr2z7a7GQyCeIzDc+8Z/6++Ixakd4V7JaXA0VnsxJqwPXTpANMwPDyXB43HmRN24VQOsN8kSqxoen3+PvJ4S6WYYqXp7nJVth/fmc+rvO1wcOvCfd6PbzbSKzV62Bt0SRSEUZnf2sQNtG5Pg6uas8nduS+/Ol8kXyrMHFA8lKm8CwMgHNyWhpXuZthSwxwpy0OnD5UAoh2zmQv87kK8p3LeYrKmTb69ntZB7X+rHrZdvbaqRIzN20N0RBpRrWXpw3gpZFDAs4PkM8irX1Yiq9u+PXRY7sNr1OZy8r8H+D/0/R/Rt/Qra3yYnarJAlDIYBBydydJrpaZgSMCdNJoLa0Gt5YY6iM2Q0z/eNN2TbO9xTun+VKuF54EeRQocZBmdcr+exaEuM4HKf8EZwc7KnbR2jFvh5OCPYW7zVA7XeaV4hQt3ZP4EK+RpJ1walUxFM89JSPvhAIUsYDHHizp6qfhFlmJNmJUz76JgS0qGL2eu0SHhpGiF7PyMy4ohhQCrR29HwYd9tgXg158rn2TGnGtkvMTZq8s/HUFpOaRTRFJFo0G51TyGoytVs+YaHazEvrdOwYEKuqFD/SCuG5dxkTpp2MT0y6TkmlJD1evKYsVkHZcYi6fPJRGkdpeKF+Fxy6HSEl7obeoqyVKQy89XTAICN55KRVSDMmdnxJp0iDIZ1WP+KeLVWi1lb6Bx7hojsd+hr6+9jJb4aRDaaHr9xvEKWaAPT4rCsJDYeytbwqtKFobSoUEFLDDAnzULysooJuW1/cpbfnVQyX82nqfwNXeUcXPzpiU8J+fsh38u2t1UoyhbXNwqHXs/jtVXiRSBsLqe66dRUurdVl493SF6rEx0mCXU399PZq44MbMqaLtcG70A3Qr5yVB29tBjWo1n7jkqbQMCcNAuJOUw6Yc5u5OD0hItkAroS7TfKksnqI/fB0lVvdWVf4j5CDnBTbgSWRVzeJNS1egAA8MM+8Rlu5+cOp2kRw0qcnj1MVJ9dWIbCUgr5YmNFblCWPWj9fayAvU7ZXMqAefMIWV9cLLFSHZge0V7YzyYl2BqNW7ZR2gQC5qRZSPQ+8y/OuHPKt9/IWbuWkP3eUX9Xb8XY+KpQN/EPAMBnEm0bPJwdRPUMdeHtJn2DtOp4gvU3tJNwfPTyVVrXhaLyItn28nz4IULO+v132fa2BhW0chsZitGkRWtCNk1dkhvmpFlIcb75/kdJKmi/cfv7HwjZKYzOwG81NPyrE6kXxPU6O8n/2xmJ6AxDnRz9QLwlx8f/XaIzLuqJtULd1a3W38cKfDbwM0L+9sy3su3NOZA3OhlfqTd/j1E/aODjS8jZKcr2w2NOGiWKcnMqv3dyczOzUvtcySYjTZNbTVbIEgvZu0ioG78UALDiWLzwGgAvM9EZhvoIaOgseW3ftQzrbxguklrwlzpfF8OCyRuOPy79oZAl2sDVg732bRnTI+3kK5cVssQAc9KsgGk+mim+zULNXtc6r+x6hZBf76LeBp6ixPwn1LWfgIKScsxeL4yymZsPyVAvUpW40Yk5ovo6oaH2EmIjohjStB1AFonpWRsOmyYpRtlTMeakWYDpEVjLXuaT5G3dSUsvTCdkVwfxJqKqxEyj0TkbLorqg7w09P9jVCJVifvlDkq9wcQKCEoozQ7VMJwr+XpSe/pEaAcfQi7I0dY4K0btSLtxTdH9mZNmAYW55IuySUsvs+uVcNL0BWT/noYT6PQ/KtOrdzZhjYj+R6i7e9S55nSi4NKLA+nk9THk4dl+4q/Fw9cpzOjr/LhQ99+b1t+HAplFlKYyiBBoUuFZck3ZD8Xq8AokncrMJOZ42zK3E24puj9z0iwg7WYuIbt7OZld7xssv5NWmkRWn3o+9JDEyrpx8bZ4tEkzrJ8m1LWfgLUiDhoARI5sRdkgBk1mPyBeXj/552PyGCB2U6ACxjUfR8i74nfJtrdrjx6EbFrwpDbsHcjj4bjzyg/hZlgXr8DGSptQCXPSLEDgpHmSTlp5KRlpa9SUHCUiB0WnTxOyS/v2VPY5lHyIkDv7KTNZwdosPXhTVK/FUTaMmhGfSaG7eLhIVWlxrlCnMFPbkePivjj5hWx72/uR1XR5W9VZBSvFjbMUCk8YiuITHKK0CZUwJ80CEmOyCNnZnSwcyEwiey85OJqPtNHgzr+rCZmj1Ez3l+hfCHlqWw3NBk0XDktHI8M4q4vJwg/Sv15gMzptgW8ni99IrDohXslbJyYuE+pUGE0L9SCj/YXl8o3D0fqNT1GexlM+GAKUOP2SgjlpFpB+K4+QTd9kMm6JR2HkpPiiPMeQ5Xoy8b69L52IHRWSRAaqP7VecnmvsEYUjWHIxQMdxI8yftgrPlmiTjiJFCvEHRLqFEbrjhKDYU18guUf4ygFc9IooAYnTSkaOWvIkTn/t1DXMAgl5droDM+wPhl5JfQ3uSjS6FaF3C5SLtdKzrnDDIYpSszaloI5aRSoz06apu7IJYZed5i7XaD7dHwH2tYwZGT+uHai+oISCrM8A7T53DmTLt9ou4bjyMIFfaF8x62W4Oii7MxTBl08fP0IuaJcuSNt5qRRIDulfgzdNT3q1BQF4lECnudRIjKP75FuQbQtYsjIE73E75TLaYyIekYkEb60QKhTGcdTjsu2l/sQckJD6U113+gGhDVU2gQGRezsyTzzvNvKRZWZk1ZHHJyE3boL7mQrYIn8mI6DCm8YrpAlFnBzn1A3YiG2XUwTXa6pCCHDYsR649UZR5GxcNeE0Vql6RVIFsacTBPJ2aSES4eOhFx8WdlRPNURGO6htAkMGcnJEP9ckANJJ43juE0cx22s8rWB47ilHMc9IaeBaicgXHhHVTWfwtnNXU5zDPubdOx2aNqUyj5n0sjjkLHNx1LZhwrnRPLRuk7BpRT1tUdgyAeV4gExTolUfSrMY60eI+TYO7Gy7W3ahqPotHxHrZbg24x00spLWR6rLZOTrpyTZu5g/XMRnTeAJziOa8fzfCQlmzRFoIiTVhVXT/PTCGigzyFnETZ88EEq+xxPJY9Duvl3o7IPFa5tE+oc3USLBhY8JJ6/xNA2cx9sg7mbhHP5DsXeRt/mPiKPsCI39tD9+RagZI9D00h1/sGDCllSMzwaORNy/p0SePqxcXG2Sq4aI2k8z+8T+VoHYCKAkfKZqC5Mo1TV5Sa4NfSkaY4opQlknza3fv2o7LMngfygaeHdgso+cnIqTnhUPbmH/M2IGfSZ2F08wrxkn0zRNJXh5Sz/DaUUFQrmANUEN5MG5nmZxQpZwpCD3Iz06hdRotY5aTzP1+u4rr6cdNK8AkTyTaqgRCTNdNqAc6uWsuzrZCd/015rc/KW0Elj+Wi2iauj+EHCgWsUHISRi4U6lQ8SZ0jj4EjmIudnMyfNlinKUy4NxlxOmrfIVzjHcfMAaHxgo+UU5pEjnxxdhIUDVXFTwEm7s45syKpzZWH4mlBBo7KPwQCA1iIpBxlXhDqGJuB05I1b7m3mpNkyRXl51S+ihLmctFMAeAD3no08gEwAewGITKWuH+RlkS9G0xerKa4KHHeWxIiMO2IYEZud6BmMHZdS5beFUT9oIDLlIDMW8Gslvy0Mq5OTUaS0CQyKKBlJk3TSeJ6XHF7FcZyD1DVbxzT3QFfNUZgSkTRGNSSeEOp6vYJ3V5+X3xaG6ojwo1CRrRM5tCjMtP4+DEXIvc2cNFumOF+Fx52mcAYGcxz3CwAKzYS0gTCSZn49c9I0QsuRyCsWNueNHMUiHbbM60MiBLpr6fnybK5X/2DukgoZxmTZACySZntwVT7cS4uU+/tW66RxHNeT47ivAdwCsBHAAQD19pOruuPO8jLyjdfZXf4+aYxqcPMV6hoGo1WAcBi2VGd6hm3wcJcmym2eKF+zWEthTlrNKM5Xv8PNqB0uHupoWGyucGABx3HXACwEEA2gM4AMnueX8TxfP1rqi1CcR74YTSv/ykvJNzXT8RIMFWAvUoWq06F1oPBF6e7EZvTZMk29xItqbufL4Jxc/o/+HrXEUedIyM52zhIrGQzbxsFJHd0KzEXSXgCQBuAHACt4ns+EoXigXlNdZ2k7O/JDnTlpKiQ7TlR9NU25Ch6GMugkCn/mbLhAf/NS9T3f2vu2J2RNz+dlMOqAWj67zTlpAQAWABgDIJbjuOUAXDiOq9ehhbJqnDSdvamTVq9/Xerk4npxdTIbCcUwsDm6flb6+rv6E3JuKXtNMOonavnsNjdxoILn+S08zz8FoDmADQAOA0jiOG6lNTbnOG4kx3FXOI6L5ThOMGbqbrHC/929fp7juC7W2LculJfqzV7X2ZF903T25vuoMRRAbLg6wyx8PeshF+BRP4/5TJ00dweWU8uon9g5qD+SVgnP88U8z6/meX48gAgAIoMPawfHcXYAvgMwCkAbAI9xHNfGZNmou/tFwHD8+kNd960r1R13CrvTs271qkOkT1pxWb0epGGW/ENJSJpxEKVJMlU9qoCxnUX6mtUD7HVk9KBUXyqxksGwbXQaOO4Uhef5XJ7nl1lh7x4AYnmev8HzfCmAvwCMNVkzFsAfvIGjADw5jgu0wt4WU10kzRRbHSmk52v3e1AVIrlAabmsY7gYeQcScWfTDQBA9tprClsjH71CGyltgiJkFWcRcnJ+smx7cy4usu3FYFSHvYPKjztloAmAqpPAE+/qarsGAMBx3Ascx53kOO5kRkaGVQ2tSnm5hp0TK5KnwqTnGmMvPMoK9majs8TQuVW5m6xHR55dgutnf8PMYrLBbmKefC0xncLCCJnXs/dahnJoNpJmRcRCTKafAjVZY1Dy/E88z3fjeb6br69IHywr4eBYy1+ZbQbSkFui4YRirxCBylYjnnXFrYs/XLv4AQC8J9ef9ogNXWV6g1aZI5JVREbSPJzk6xVlHxhAKspZZSlDORr6GZ+PjgpGeWsUz+M4rg+AkKrreZ7/o457JwJoWkUOAmAaW6/JGllxcDb/KxPc/dlo8MHdUcMJxWKzOxmSeD3SAt4TWypthqyUluvhaC/DPazYuCgFMY2keTt7y7a3vbfJEbOddoquGvqyo1pbwzvQmJfadtBQxeyoycSB5QA+B9APQPe7X92ssPcJABEcx4VyHOcI4FEYJhpUZSOAp+5WefYCkMPzfIoV9rYYR2fzbxwVFWQCur7CNu8GPZ3kHxxvNVgX9VpRH6OM2y7WzxYct4tuE3JRuYzjcOxMPo5U5sCaw0bvxRkqoCaRtG4A2vA8b9XnIc/z5RzHTYehUtQOwK88z1/kOO6lu9eXANgM4H4AsQAKAUy1pg2W4Ohi/lemLycnElSwkL36aNCYDbdmmOV/O6/iwY71r8LTdAxUUZl8ThpfQlaSaurmwLofjwxGJTVx0i7A0NjW6hEsnuc3w+CIVdUtqfI9D+AVa+9bFxyrO+40ea3qbdRJK+c1/P9qEACkRSttBUMFlJSLt15hn7kGCsoLZNurIrveThtkMCSpiZPmA+ASx3HHAVTeZvE8P4aaVSqmuuNOR2eycrCs1DaP1hx06qh8sYhmfYDYHTVamldchgbOGv6/MsySmC0eKXpnuAw5eG70CpyshZytdkpv3JBtL2tj76id/DlGzdBXSV3iOOWO3mvipM2lbYSWcHYz/4HNmeRRFOWyJHXVEdhBqCsXd6b3Xc3AAx3q37FXfeF84h1R/aCWMjhQ/u3o71FHAtwCql9kJUpv3ZJtL2vj0sCx+kUMTVFabLyBU3V1J8/zbIZOFRr61a6fVkEOC+GrDmeRoofks3iwY2NsOkcWDy/eEsOcNBtmzoaLovrisgq4OVFuZtn+Ebo/3woEuinaO1wzuDZg0XZbo7SoipPmrJyTJhnD4zju4N1/8ziOy63ylcdxXL0ND3n4kMeZFWXmjwMKc3JomiOKQ1CQ7HtqioD2Ql30P/jfxI4CtdRxGMM2yCsWz630cpUhMhJ+H/096oiTnZPSJmgCFkmzPdQSSTM3YL3f3X8b8DzvUeWrAc/z8nU4VBmmx51F+WUSKw0U5ogfp9DEMThY9j01hb3IB8+JX2Bv2gKAUS95vn8odDorVxaWi8zA9FB/hLaBYwOlTdAEzEmzPYhImotyE2nYp1ItcTLpRF6UZ34AsRJOmkMz0kmzcvcUBsOmGdaGQh5WzH/W/5kyoFMoYVprpwEu7LjT5igtKqz8XpWRNIY4Dk7kryz/jvnqzcJc+Y87TTt36/PkmbOp6aHrZmBOrm2SWyweBS8oodBeZvss6/9MG8Z94EClTagVbOKA7aH6nDSGOHYO5K8sJ71QYqUBJSJp9n5+hFyenk5ln8dbP07ISflJVPahQpenarx02eE4enYwFGPVsXhRfWpusfU3y9XQa0MB+DLSYXbr11chS2qGvoK8IfUKdFPIEgYtyJw0FR93chw3neM4LzmM0QL2DmQ/nLSb5msolHDSnFpEEDItJ21U6ChC3h2/m8o+VAjqIdSVijfunLvpEmVjGEqwaEuMqH6MHJMG/EWKVxRGyUh4WRr5HuXctq1CltSM/GzyBMWV5aTZHGVVImkOKo+kBQA4wXHcPxzHjeQ0NauDPknXzDthSjhpzq1aEXJxzBUq+7T2bk3IP0f/TGUfKjQQyTva/znWTOsjvy0MVWH11ht6Eeen+RDr7mEF8svyCXls+FjZ9i46d5aQ7X18ZNvbErKSyRs6ztqFJgzFUX115z14np8FIALAUgBTAFzjOG4hx3HhlG3TBEW5wsIBN09lA486kyfUnX/+obKPox1595hTIn/+ncWEDhDqDn6Jrs1Y0Lg+0zusUfWLakvWdaGuw0Tr71NHtsVtI+SHIh6Sbe+CAwcJ2bQpuNrITM6vfhFD05DVnSp20oDKGZqpd7/KAXgBWM1x3KcUbdMsjZo2U9oEgtK4OKVNUB9ibTjuMmt0a4Fu7xU6R8YMZThwLUNUP6YThaPOA18IdT4trL9PHfnoyEeEbBopp0n+/v2y7WUNMpPkm2nKkB99RQXK74105Dg4ODmbfwBFapKT9hrHcacAfArgEID2PM9PA9AVwHjK9mkS3+AQpU1g1IEpfUKEut9OyG8IgxpPLj0uqh/fhULrh3OrhDo79bdscHWQL1m6IitLtr2sQRaLpNk0ZGWnM5TM8qpJJM0HwMM8z4/gef5fnufLAIDneT2AB6hap1F8mJOmDQbNEOpSzrOmtvWU7x/vAkd7Gf72Hk3o78GgCouk2TZVxzm6eoiMEZSRmuSkzeF5XnTyLc/zl61vkvoxHQ1lSn2KpC3st5CQb+bcVMgSC+j6tFD3Y3/J5VdS5ek3x6DL0RuZovpR7Sg0sa0Q6bn2wl7r78NQjIZ+rEearZGfZXyPcPPyVtAS1ifNIsI7k33IKkx65ngHNSXk8lLzUwlo4DX5MULWU7KhZ2BPQp55cCaVfaggVuFphhFfaStvhiHOoz8dFdVTOdLY8p5Q5+4n1CmMadFPcAMFR8s5qP8ouCqNmrgrbQLDyhRkG4/f3b0pFBPVAuakWUBQK7ICsCiXbMTo4EgmpWclJ1K3yRTvZ54h5NzNm6ns08iZfAJH346msg81PEU+jHgePz7ZVX5bGLbHyaVKW1Ajll9aTshfDvpStr35cjLa6N6vn2x7WwPvxqyRra2RX9VJY5E07eHdmLxzqq4cO+OW/EeADk3IvJeUGXQiXHY6u+oXqZlRnwl1h/8PI9qKR9k2nUumbBCDJp9vE+8ZGOxNIUlerD+aV6j197ECP57/kZCbezaXbe/yDLLS1rl9O9n2tgTTMXGNGrNImq2Rn2087mROmgZx8yT7gyVeNl+ZdDtBNKWPKoKjG7EPDEpoatZlixFC3Y45AIATM4cKLr266gxtixgU+XZPrKh+6dPdrL/ZdZEJHCMXWX8fCsh581WWkkLI7gPUPbeztLiCkD39WU6arUHkpLHjTu1h6gDFnjLfQ0uJSJqSxOXGKW1CzeE4ILCj6CXfBuK91LIL5M8xZNSdNImZnP4eTmjuRyEa8qdIhyKxJsr1nLxduwjZuW0bhSypGbkZRYTs6afcXEcGHaoedzbwYk6a5jGd42aKEpE0ORkYRN75brq+SSFLLGSUSE/mC2sBAKE+wnyTzh/voG0RgwI9F+4S1f/9Qm/rFw2IRZNbjAIc1Ze/lFqQquj+WUt/JWS1Tx5MuppNyPaOGk/5YAioWjjg5s2OO20SJzfjm3HVP7ic+L37LiHrC+j09nmu/XOErKkZnoB49/fVUwEAn07oIPqQ0nLlhlEzak+6RBTt0/EdECLiiNeZfSKO/7jvrb+PFfj46MeEPD6C9Sg3R8Ll7OoXMTQLz/PIr9Jc2d2TOWnapJqbveB24kdocuI5gXyzzVq5kso+HXzFHRnN4CrxIuR5dA8Rv9Zi1haKBjGsTQ+JKNrE7k1F9XVm70KhTup5pjD7E8nWMv2bSPcKpA3nJD2uTS0kxmhrOgKjdhTl5UJ/t7+hk6sbHJyVGwkFMCfNYjrcR46P0evJ441m7TvLaY4odg0bEnLGF3TK6nWc8GlUUmH+CFh19HtTqPtzAgDA01W8b5OmCiTqMVK5aNQoFYlYdxFpnKxSIrwiZNurIofszxb0f1/Ltrel6CuMr/tGQayy09aoWjSgdI80gDlpFtO8C9mQMie9kJCD25HRJX0FWRFk61zO1Ngwiu7PC3WxOwEAp2cNE31I6Ad0es8xrItULlqrgAZ0NlwoMqR95GI6e9WRwrJCga5pA0rRRRFS5y8gZPeB6q7sNKVZO+U/xBnWhchHU7j9BsCcNIvxbUa+wZvmKXj6BxJyRnwcbZMU5b3uZGf1b858o5AlFtKwCeAq8oabcg46HYeTs4TtOAAgPU/mKA2jVsRnCp2Qe/z7Um/rbygVXXVUZwXg7gRhmxA5E/dzN2mryKjCJBe1RXd/hSxh0OJOurGQpoG3j4KWGGBOmoXYO5AVPWd3xhMypyN/tbfOq6O/Fq0jugfCHiDk46nHqexDlRf2CXU/Glom+LiL58r0WCAepWGogwGf7RHVdwhqiAbOFMYPRa8W6npPt/4+VmLWwVmE/FSbpxSyRBskxpA342zagO2RnZxU+b13kyAzK+WBOWlWIi/TfETlVvRZmSwh8Z8zm5CLz5+nso+Xs1f1i9SOp8QxT5nhb/v71O6il387VL/64GmFr3dek7y26vledDZd+5xQd98MOntZgQqeTMN4ss2Tsu3Nm8wTbvTcs7LtbSlXj5PtStTeLoRRe6qOcfRq3MTMSnlgTppMxCvkpLn16EHIGd9+J9vemstLA4A+rwp1CwxHGgNb+Io+ZN6mS6yIQGUUlVbgfzuvil47O2cY3Jzsrb/pbQmnUIW90QDx4p4AN/FxaDS4s249ITd6aZpse1vK1eNpSpvAoExVJ827MYukaRrTpNHSYnJQcEC4fFVSUjiGhRFywYED1Pb6+j6yMmvifxOp7UWNIXPF9Xo9OI6THB/EigjURes5W0X1hyMHw9PVUfRanflW5LnxKJ22N9bgdNppRfdP/fBDQrZzV6czK0WTlp5Km8CwMmXFxci7bZgly+l08PSX76ZFCuak1YFWvcnigMxEctB6sw5d5DRHFNPcOJr0adxHtr2oYWcPhA8W6hcbjkKHtJZOFP5+r/hcSIa8/LT/uuS1xp6U5izmJInrW42ms58VeGHHC4S8YewGhSzRJi16KP8BzrAu2anJld97+gfCzp5C3motYU5aHWgcQd5JXTOZ4dm0bXtCLitVR8TxJQoAACAASURBVO8wWkdzzvbCpn/F5RqsfnxcJPm7NB+42+Dw5qL7RR/26dYrKCgpF73GkIecojIs3Bwjeu3tYSKTJazF/0TmTc6+TW8/CoR5hlW/yErw5eTrxLmj+htiF9wh37/DOoqnPzC0S1ZSQuX3ashHA5iTVidcGpBedvSeREI2rQzJSiKvy0XourWEnLed3uzJmT1nErLp3bom0NkBjUWioB8bjrc5jpN01Np+uI2mZYxq6Dhvu+S1V+5rTmfT1AtCnU9LwE75u3ApxPqjybr/KfKoNeCDDxSypOZcP0PehDu7q/fvy7CMrKqVnSrIRwOYk1Ynqqvscfcic9aunzxG0xxJnFu3JuSk11+ntteklpMI+Uy6OlqP1JpnJT7siwwl+BzH4diMIaJLQiKjaFnFMIO53/u7I1pCp6NUibekr1An9fxRCT1X9iTk74fIO1c0bf58QnbuoP5IGisasH3UVjQAMCetzphG06oeJZo6cZcPiPdssiXEHNcyfZkCltQROwegm0hLgE9CKr/195Ce6fb0rxrsE6dhZq8XiWbdZVS7AHpRtP2fCXWezQAXbSWV92vST9b9Sq6RlbBy5s5aStrN3Mrv7R3Vby+j9mSzSJrt0e8RsoIz93YRITfwMeYt3ElLkcUmMewDyCTX8ix6Q4J/HfErIfddJRJp0AKjPhHXXzUeaW55XXwY9b6rGdgTky56jWFdtl5IxfKjtySvf/84pQKeijJg93yh/hl1H3mnFwqfl3L2++L1+uoXqZwWPVnRgK3B6/XISlFXjzSAOWl1pll7cmxE9B6yyqtNf5FKQQVotux3Qr758Hhqe3UPIJu+FpUXSaxUOXYOwLQjQv1KY2uR1oEe6BEqPt9t6u8nkJqjwcIJDXEhKQcvrTgles3L1QFnZg+j54B8LDIyxq8N4BEo1KuIIf+Sx/Qr75e3TUhJDFnY4f9BpKz7W0JJIXkaENHVT2IlQ6vkZWWivMRQHOLcwAOuHg0VtsgAc9LqiJML2RTz3O4EQm7dbxAhV5Qrc/Tn2KwZIZenpkqspENqgbz7WQ1/kao9AJhrfAH/82JvvDeypeiyXot2IbugVPQao26k5RbjgW8OSl4/OWsYvNwo9US7uV9cLzZaTEWIVXa3920vspIemUvJSHuDUaNk3d8S4qIzCTkgXB0f4AzrkZloHO3oHaiOKBrAnDTqNAoiRw3FnVO2gWRV+DJ6DuPGcRsJedjqYdT2os4UiUa1t4190V4e1Fxy1FDnj3cgt1iDeXkqpqCkHD0XSs9NPTFzKOxoFQro9cCyB4X6YR8B9pScQiux5toapU1AbhRZ4OHgp/6o1Lld5M236exmhvZJvW6cUOIXKl87mupgTpoVCAjzqPHaS/uVKx4I20Q6Tklvv0Ntr9CGoQKdZkcnhUjk1H3blRB7hzfCw13E78A6zN2OPOaoWYXc4jKzrU4c7Dj4NnCiZ8BHEnNq+9KrmrYW847MI+STT5yUdX+tvgdkxOdVfu/qoW5HnGEZqdeNxSwB4RR7KtYS5qRZgSFPk0diqTdyJNdePSp9PEMbpwiyyCFvu7xtAlbFrJJ1P6vygURH+bnkscen46VbCbSfu50dfdaRW5kF6DDX/PP22gLxHnZW4Yr4uCnMoVeIYy1yS3MFOic7is6sCKZj6Zp8/bXESvVg6lh2GhqskCUMWvA8j9RYYyRNDSMd78GcNCvg6e9KyJuXRBNySCcy4qImaN7Z/jz8Z0JedHwRtb2o4+QOPPK7+LVo44QCezsd9rwzSPLHdP54B07dyraubfWEXZfTMPCzvZLXOwQ1RNxiimOYSguAVZOE+kd+NzRAVjmmVdYvd3pZdhsSXniRkBsMV38aRFZyASG36afuwhBG7cnLvI3CnDsAAAdnF9VUdgLMSaNCUS4ZLWmjkuIBAAj+dSkh3/6OXhPLbv7CgdMp+cq1IakzbR8yVO+ZsuZZoMxYwRrq4ybZmgMAxv9wGF9sv0LDQpvlnX/P4dll0kdzrw5ujn9e7E3XiIWNxfVtxtHd1wqI3Yw90+4ZBSwhkbP1h6Uc23iDkJ1c2aQBWyOtylGnf1g4dCq66WJOmpUwzVOoqDD2AmrariNxLe2GcoO43fqQQ9Bvf/sttb3sdfbwdSHn2z255Ulq+8nCtMPi+gVk36TWgR64ueh+uDvZiy7/Zncsm0xQQ0Iio7D6lPRItT3vDMLbw1vCmWYy92cSzXDfuABowNH4/pzwZkzuo847a8iihaY//yTr/pZy81yVGazq/1MzLKBq0YCa8tEA5qRZjfueaEXIKbHGvDR3L7KP1tlt6vpwpnnkuW7sOkJOK0xDWYWGE+g5DnjxgPg1k/w0juNwYd4IPNxZOnQeEhmF4rIKa1poMxSWllfryB79YAhCfdzoGnLub6AgQ6gf8iHg2VSoVyFLzi0h5Nm9ZstuQ8rMWYTs3l862qwWTN8b+46nNLmCoShk0YB68tEA5qRZjeC2pCO2e9llybWXD+6lbI15/GfMIOQ7q1dLrKw7DZ2E/YT+uvIXtf1kIbAD8IxE8nrU2wLVFxM7iiw00mr2Vqww0zG/PjJzXTTazDHfuX/6fc0R0FB6NJdVyE0B1r0g1Pd6Bej/Ft29rcSVLOHR+gNhD8hqA812PzS5efY2IbcbqJ5cJYZ14PV64nSLOWk2is6O/FXmZZGd5tvdN1xOc8zi9dijhJw6ew7V/T4d8Ckpn/hUYqWGCO4JPPyzUH/iF+D6bkLFcRyuzjffsHPW+gsIiYxCeYX2R+bUhdziMoRERuHPY/Fm10WOaoV3Rog3ELYa5SXAl62Eeo8gYORCuntbkQmbJhByA8cGcHVwlVhNh8TprxJy8/3qbvp7j0NryBmjrD+a7ZGdmoKSQkNxiHMDD3j4+itsEQlz0qyId2Py2KUo31hA0O2Bh4hr954USsA5yJv4OipU6KCcyzgnqw1U6DAREIkUYvlDwB3SyXC019Wo8rD5zC34af91a1moKV5afqra9hoAsOLZnnhpYDhdY/R6YL5Ek9U3pYe5qw2xthtrHpS/oW3+PtIp00IDWwDIvW282W4U5K6gJQxapF0nW2+orZiFOWlWxDQv7eqxtMrvTScPnN+l7BDmhg8/TMg5UXTz5B5p8QghP7H5Car7ycZrZ8T1X7UHioUfkHGLR+Pch+ajqgs3xyAkMgopORqdeVpLbmTkIyQyClsvmh8dtuLZnri56H70ixCZmWlNeF66Ye3bVzRRKHCPl3a8JNAFusvbQqI0gezW32C4ek4VzFFaVE7IfR9m+Wi2iJrz0QDmpFkV/1By8sDBf69JrAROblpL2xyz+L35BiEnU5w+AACRPYRDlNMK0kRWagy3RtL5aYubAuXC5rUNXRwQt3g0Xh1s/k2/96LdCImMQkFJudl1WiUjrwQhkVEY/EX1R19xi0ejX4SPPHe58zzF9c/vBhoEiF9TIWX6MkTfJns2/jriV4nV9Lg+jHTKmnz+mew2WMJZk1FQQa0lHHeGpkmJNeZsMifNxhH7AKlaHeQfZnwC3GucpxT2vr4CHc0qT0c7R3T1J5v6Dl09lNp+shLcExj9pfi1+b5AhbiT9fbwlpj7oMQA9yq0/XAbQiKjkHTHNiJrCVmFCImMQvcFO2u0/uYiihMETJkrMTi742NAE/U2pRbjh7M/CHTdA7rLaoPYewrnqI2xSif+u0nIajsGY9Sd0qJCIpIWGCGSg6owzEmzMu0HBRFyWpzxyKvbg2ReWnmpsiOCvKdOJeTMn0QS4a3I0uFLBbo7xco6q1aj+7PAeOH/DwDwcSPRiBoATOkbitOza9Z1ve9iQ2Tt2I1MS61UlOjEHIRERqH/pzWbX+vp6oCbi+6X78NRykFz8QYeWiJ+TaXwPI+fo8nX8+oH6VVxS5G7aRMhB8ybJ7FSXZg6ly17aieCyqg5iZcvgtcbirV8Q8Lg6iHxHqAgzEmzMh2HkE7anuUxld+HdSY78MdfVDZ53u+9dwk543//o7qfnc4OLb3Iirz+f6u/V1KNaT8BGCVRuTrfFygtFL3k7eaIuMWj8ekE6bmfVZn001GEREYhJDIKer26B1YXl1Vg5Ff7ERIZhQe/rdnc2pn3t8bB9+/D2TnDlXfQAOCdq9LXVMqS80KnsqU35WpYEZLfe5+QPR+ZILFSXdxOyCfkrqOaKWQJgybxF85Wfh/cznyrJKUQb4fOsJiGvmRpe9W5b44u5LXj6/9FWGd5jx+qIvYBWJ6dDXsverkXy+9fjh5/9iB0SflJaOJuI/2Her4IxB8FLorkHC4MBN69YchjE2Fit6aY2K0peJ5H6Aeba7Rd2AzDuke6BmHhw+3hYKf8fVdRaQVmb7hgdkqAGGtf7oMuwTLn/ej10kUCTh5AZLymCgXu8f1ZcsLA1vESg+EpUpGXJ9BxOuWfnzXhRBR51Gk6n5lhG8RHGwMlwe1qdpMsN9p4xWiMgDCygKC02JiT5NzAeC0p5pJsNkkRvpPMC7rWu4/ESuvgYu8iqPQcuWYk1T1l55HfgOYSR5ifhQGp5ls4cBxniKyNr/mbxr+nEhExc0tlhC02XfgBSZOY1NzKvVvP2VprB+3SRyPkd9BKC6UdtB4vAB8kaNJBe3X3qwKdEjdBqXPJo81mq1bKboOlVB0Fxek4lo9mgxTm3EFGfBwAQGdnh6DW7ZQ1SALmpFFg+HPkH/vQamM344FPkEONy0pLZLFJCscg4Zs37e7gc3oLm+ceSjpEdU/ZefxfoLPEnNIlfYGjwqRuUyZ2b4rDkYMt2n7ol/srnaaQyChMW3EK5xLu1Lk4hOd5XEjKwQPfHCB+/sivJEZlVUPnYE/cXHQ/XB1lDupn3TRENsXoPR24XxsViKboeT32JuwldNvHV997jga5Jm19XDt3VsSO2lKcT77/DXm6tUKWMGgSf/F85fcBzVvC0dlFQWukYcedFGjgTY6quXQwubKHWqs+A7Dth6+M1/btQsdhMlavieD3zttI//yLSvlKj55odeY01T2/G/IdXtn1SqX80s6XEP10tJlHaAyOA8Z+a2jZsF/kA39rJLBzLjDLfBuSxp4ulU1weZ7HT/tvYNGWGLOPEWPLhVRsuWC+D5lcBHm54LvJXdCxqUSrC9oc+j9gh8Tsyp7TgBEL5LXHinT8Q5hXI3dfNAAounCRkJ3bVF/FrBaOrCebSUd0V1cHeoZ1SLhgdNLUmo8GsEgaNTgdGR6/F8GwNyk/37dc/r5Fpng/Q0b3+KIiqu04AGBA0ACBbvqu6VT3VITBs4DHJGaVlhcbEtYlKj9N4TgOLw4Mx7UFo/BUb+0lMl/6aATiFo/GwfcHK+Og8bzh9y3loPV5DRi1WF6brEhqgdAJP/vkWZGV9ImbQBYINPm/rxWxwxIuHUwmZJ2OHXXaIvEXjPlozZiTVv94bA6ZHH96m3GAdrMOxrB/WQk541MJOJ0ODUaReWHxTz1Nfd/jjx8n5H2J+1Cut8HGrS1HAS/ul74+3xe4sqXGP87BToePxrbDxXkj8NoQ9TVfNGXDK30Rt3i0/EeaVSm4Ld2kFjD0uRv+sXz2UGDYajIPclDTQbDTyT9rUl8iTOFwDAoSWak+ykoqCLn/pBYKWcKgSW5GOu6kpQAA7J2cENhC/srnmsKOOynhFUDO8Ty6/ga6jgwBAAx4fCqWnzeOE8rPyoS7t3jFn1w0+eILxGwxVoAVnjhBfU8Xe2EOQOflnW3r2PMegR2BOVnAR97i11fdHXr/4Z0aJ6u7OdnjrWEt8NYw4wdJ3O0CvLf6PI7HZdXV4lrTr7kPHu8ZDEd7HRp7uqBVQAN1JFzv+BA49JX09SmbgZC+8tlDgc9OCI/Uvxn8jQKWAInTphGylqJoR02OOtsNtJGqcwbBrSqtN4JatYWdvbzzrGsDi6RRxPTzqbzUcJfmFxJG6A+vVr7qidPp4NSCvGtMXbCQ+r5ixzFn05U5oqGOzg6YmwP4m6kimucJJJ60eIsQHzf881JvxHw8Egfeuw9ervTffH6b2h1xi0djxXM9Map9IIa09kfrQA/lHbSSPMPxpjkHbUaK5h20sooy/HHpD0K3bsw6hawBCg4fIWQPjczqBIDze8iqZHbUaZtUbb3RtK06W2/cg0XSKDJ5Xi/8OedopXxodSwGThaGVaN3bcPwF4Rl83ITun4dYtq0rZSzly9HwMwZVPe009lhfMR4rLm2plL35JYnce6pc9BxNnoPMe0QEPUOcEJiwsMvQwz/1iKqZoqzgx2aervizBzyA1Kv53EpJReZBaXYcCYJa88kQccBc8e0xcRuTVFcVoHziTnYdjEVfx6LBwC8NDAc741oqa0PrA3TgTPLpa+PWAT0flk+eyjSZUUXga65lzLDwBPffJOQ/d5/X2Kl+si9TY5dGzpVO8UOjJrD6/VkPlr7TgpaUz3MSaOIpx/ZAPHC/qRKJ63H2Ak4vsE4pkVfUQGdnfz5I1URazSZteJPeD/xONV95/SeQzhpAPDyzpexZJi2RvHUitGfAx0fNTpkYszzBIZ8CPR/y2rb6nQc2jUxdNcf2MIXX04i36CcHewwoIUvBrTwxYKH2lttX9nIvA58I3RaCJ7+Dwi1jUkXW28Km9SeeJx+qoIYPM8jbwtpT6OpUxSxxRK2/kT2L2zRg1V12iIpsVcqZ2e7NPCAb0iowhaZx0ZDFerBtSFZzXnvbq3L/WMJ/a1odRzxtYo+T8hp8+dT31PH6TC7F1lxdyj5EJLyk6jvrShB3YCZaYCvmaG+u+YZjuzSa992o15RVmT4PVXnoL1302YctAp9Bd7dT452GxU6Cs72zhKPoMvNseMI2X/WLEXssJSMeGMDaA8fZ+WP6xlUuHbceBwf3q0ndAoU19QG5qRRZtybZAPHzT8YnCA3T7LT+c5fvpPNJnNwDsIcptzt9Jthmk4hAAyTCGi3AlEcB2fglWPAq9X0pfu+p8EJKbhtfl19o6Ic+LwlsKCaAdhjvwfmZAOuEoUbGqTTcuExzcJ+9PNIxeDLylBylZxxSjsCb03iosnX1eiX1duSgWE5PM8j9oTRSWvevbeC1tQM5qRRxrTKMzOpAPzdodgB4cb2CbkZ6bLaZY4WJ8njkqTXXqe+J8dx2Ddpn0D/zRllKtRkp1E4MCtDekD7PT4LNzhrhfJXb6oKngd+fwD4uBGQb6ZJ78hPDLl9nR8HNDI3siYcTj4s0H3U5yPY65TJYInpSDqMQd99q4gdlhL1HXmC4N3YTWIlQ8tkJtzCnVRD6w0HZxfV56MBzEmThVZ9yI7f9+7ahpkUC6TdiIUasHN3F+gKjh4VWWldvJ29MShoEKH7Ofpn3C6qJ9Eje0fDgPa5OUDXKebXfhpqcNZSzptfZ2vwPDA/wJCvF1fNKKp3rgG9XtLk/E1zlFWU4cUdLwr045qPE1lNn4q8PMOg+io0GGIm11JlVJSRtrfsWU1UlqFZrlWJooV26ipoLq9GmJMmAwMfJVtbbP7B0AfMtBXHth//TzabqiN8B3nEGT9lqiz7fnWfsF3Cff/cJ8vequLBr4EXhJFFAT/2Nzhrh781ODC2SuZ1w/9znidQXmR+7ZPrDY6uu588tslMr5W9BLodE3YolkN1tTvZuFtLg9QB4MTmm4Tc/1HWwNZWiT1uDDY076H+o06AOWmyYO8oTEwsKTQM8fUMMEbZMuJuyGZTdTg2bSrQFZ2lX9xgp7PDzgk7Bfr39r9HfW/V0bgTMDsT6PtG9Wu3zzQ4MHMbArkp9G2Tg+Jc4NeRNSsIAIDg3kBkAhBuu079keQjKNWTY8SmdZyGADdloj9lScLiHq0MUr/HqS23CNnJhTU9sEVy0tOQHmdoVqyzs0dY524KW1QzmJMmE8OeIXvu7F15BQAw6pW3CX12Kjk3TkmarSD7TMU9+pgs+/q7+WNM+BhCt+XmFly/c13iETaMnT0wbB7wQRIwroYtSb5sZXBstFhoUJIHfHHX/sVNgfgj1T/Grw3w5kXgma2Aswd9GxWiqLwIL+x4QaB/uZNy/d5ihwwl5LDNUQpZYhmmvdEGsCiazRJ7whhFC27fEU6u2sg7ZE6aTIR3JY9eYk8aCgUatyDbL+z4UT2J8q7dhHcaBUdq8KFpBeb3Fbb+GLdhHPS8XmR1PcDJHej0mOEYb8KvNX/cvUKDuQ2Bo0uAcuFcRUXR64GL64w2LgoC8moYCXx2h+H38fIRoKE2ZkPWhR5/9hDojk6mnysqRVG0cHybU1iYyEr1smvZZUJu07+xQpYwaFO1qjNCA1Wd92BOmkzY2enQpCU54DkhxlCh59zAePefcEldcyvDNm8m5Pipz8iyL8dxOPmEcDxSxz9YaTzajTc4J4+vrn5tVba+D8z3MzpEP/QD7iTQsVGK0gJg+2yjDR95Af9Oqd3PeHG/4f/fVOi02CqfHP9EoPv7gb/h5qBcNCDukYmE3HzPboUssQy9nkfytTuVsrO7A+zs2EeiLVKYm4OkmEsGgeMQ3q2nsgbVAvaMlJGRL5Ad3Dd+ZcjxGvUyOUolJ91MSwGZcQoTdmNOW7RInr3tnPDzcOHopGk7p4msrodEDDM4K+9eBzo/UfvHp0UDX7UzOkz3vn67H4heDeQkAfqK2v/c0kIg7SKw/zPhz17YGDhsQYFMUHfgjWjD/zewfjnqN+7cwIrLKwjdoKBBaNNIubFFeTuFeaMOgYEiK9VL9F5yTueY19TfjoFhGddPHgN/9xSmcYvWgj6laoZlSMqIs5uwUWx5aQVCO3UldHv/+AVj31FPt+5W0ecR0944hDZr2R/we+cd0ca31qZXYC8MbzYc228Zq00PJh3EvoR9GNh0IPX9NYGbDzD2O8NX9i3g+m7gvxoUG0hx65DhS2kcXIEJvwERw22qx1ltKNeXY+yGsQL9N0OUS4vgeR6J08n2QREHq2mHokIO/nONkH2DGyhkCYM2144Z388iuguro9WMIu98HMd5cxy3g+O4a3f/FXVrOY77leO4dI7jLohd1yKPziGPaNZ8dgqcTkfMzaya4KgGOAcHOIaEELqqThttvhj0hUA3ffd0ZBXX84auYng1A7pNNUScIhOA1mOqf4yaGPKhoaJ1bg4wMwVoObLeOmgA0Hm5sFLy3FPnRFbKR9ayZYTMOTnB3sdHIWssIzMpn5DvzVRm2B752VmIO3+mUo7o2UdBa2qPUu9+kQB28TwfAWDXXVmM3wGMlMsoOWjUmGwUezvB8GYx5q0ZhF4tjW3vEb51i0CXt3uPbPuff0rYtHXg3wPrbyFBTXD2ACYtNzg8M1KA8UuBIJXlcYX0N0wFmJFssLP/W4aKVgbaLxMOuN85YSd0nHJOK19WhvTFZH5cxL69yhhTB/5dROa7tmUFAzbL5YN7wd9tthzUph0a+mmrWbFSr/axAO7dji0DINoqm+f5/QBsLlzSaxxZAXVme7wgkXHjl8rM4DNHk6/+R8iJL78s22xNVkhQRxxdgfYTgOfuVkTOzTEMG38rBnhmmzwRt65TgKlbDDM079kw5T/DVABHbZTDy0WHZcJI9bKRy+Dv5q+ANUbin32OkJ3atIadp6fEanVSXFCGinLjzV1w20ZsmLqNwvM8Lu415k+2HaCdSRj3UOqW1Z/n+RQA4Hk+heO4OrcG5zjuBQAvAEBwcHBdfxxVuo4MwdH1xsa1h9fGovPwYAQ0b4HUWMOQ4tyMdPA8r6o3D4+RI5EEssghpnUbtI65LPEI6+Jk54RDjx1C31V9CX37Ze0R/bS6qmI1wb1h4x6BQPDdPA29HqgoBZLvDny3dwYSjhvy3FLOAvlp5M/wawM07gy0fcjQ4T/rJlCaDzQIBHwiAE91vxbVyGu7XwMP8uZnYouJ6OJfg4a+FCnPzETh8eOELvSffxSyxnLWf3makIc/11YhSxi0Sb95HZmJ8QAAeycntOjVt5pHqA9qThrHcTsBiMUVZ9LYj+f5nwD8BADdunVT/XycxhGeRPn3rYuZePCNSPw83dji4tL+3Wg7UF2ef8tzZ3HFZJhyUXQ0XNoLj2Zo4OHogb8f+BuT/ptE6JmjZiV0OkDnDDSrkrfRpIsh2lUT6lnlpbX5JfoX7Ekg0wj8XP0wu/dshSwycq1vP0IOXDAfnL22jqbLSyuQmVRQKbt7O7EJAzbMhSpRtBY9+8LRxVVBayyD2nEnz/NDeZ5vJ/K1AUAax3GBAHD333RadqiVsW+Qjs5/35yDhy8ZUNz6PXm8qAZ0Tk4IXLCA0Jn2S6JNm0Zt8Frn1wT6l3bW0JFgMFTI1rit+Pr01wL9rkd2KWANSfL7wrRhz/HjFbCkbkR9T+a2PhLZXSFLGLQpLytDzCHj/OO2A4eaWa1elMpJ2wjg6bvfPw1gg0J2KIZOpGli+q1cdLmfLLcvKymWy6Qa4zn+YYEuprO8RzHPd3ge3s7ehO5Q0iF8c0Y9ExsYjJpyIvUE3t33rkCvhuhw6a1byNlAvkW3PK9shakl6Cv0SIzJrpTtHHRw9XBU0CIGTW6cPo7i/DwAgIevH5q2aaewRZahlJO2GMAwjuOuARh2VwbHcY05jqtscc9x3CoARwC05DgukeO4ZxWxlhJPLyLPx/9ddBL9J08hdHuX/SKjRTWnVTR5R8oXFaHkhrwD4vdO3CvQ/XT+J6y7tk5WOxiMunAp8xKe2Sac5HH2ybMKWCPk+giywD5w/sfQOWrPuTEdATX5Q+10nWfUnqoFA20GDCbaXGkJRazmeT6T5/khPM9H3P03664+mef5+6use4zn+UCe5x14ng/ieX6pEvbSwt3LSaC7k0ZGzs7v2iqXObWCc3CA37vknf+N+0fLawPH4djkYwL9nMNzsC9hn8gjGAx1cTPnpiC/EgAOTDoAO52dAhaRxHQUduH3nDBBAUvqhl7P4+pxsujFw8dFIWsYtCm4k42bZ09Vylqs6ryHNl1LG+Ixk7u5v+efwOjXSOfnXkNM6wAAIABJREFUdnycjBbVnEbPCu/+Y4cNl9UGVwdXHJgk7HY+ffd0HEsROnAMhlpIzEvEmPXC1ierRq+Cp7PybS1yt28HX1JC6FpdvqSQNXXj8Bqy7+SkWSrrF8iwKlV7ozVp1QaeAdoaWVYV5qQpjHegsD+UdxB597r2k3lymVNrWp4+RchlCQkouXFTVhs8nT2xZ6Kwse5z25/DidQTstrCYNSElPwUjFo7SqCf2XMm2vkonzujLy5G0muvE7rQtWtU1RKopuj1PM7tSiB0PkHuEqsZ/8/efYdFcXVxAP7dpYPSBMUKAiqgqGDBrtg1sSXGFkvUxJpYk6gxGlNN+5LYjSUJ9hJ77x01dlDBhg0VEaTXLff7A0THWWRpO7O7530enzDn3llPRmDPztxi6ERroxnohIEXqEiTgT5fCGcYbZx9ARU8vfOOU+KeQaVU6jstnShsbeE0ULi5d1TXrvn0Lj0uNi7Y0l08Fm3YvmE4/fi03vMhJD8xaTHouEl8x/nj+h+jn08/CTISu1FfuB2VbVAQrP2k29C9OC7uvS847jlJvNUWMR4xt28i7mHOv7m5pRVqNmlRwBnyRkWaDGjb2LdFf+GiscdX/aWvdArN7Uvx0nevDzbWB28nb2zvuV0UH3FgBPbelefYPmJaYtJi0OHfDqL46HqjMbLeSAkyEnvytfjOvXvIP/pPpARwDcfZ7cIJTZVrat0qmhiJi3tevgfUbNIcVraGtzbaq6hIk4meE4Wf7nYtvCM4vrR3hz7TKTTvI4cFx9n37yMzMlLveVR3qI5tPcUrunx2/DMsDVuq93wIeeFhykOtBdqH/h9iTP0xEmQklnX3LhLXrhPEapwOlSib4rt8UPiYs9NH0j9KJqUn5Xkcbp45mXcc2EUP292VMirSZKJyLfGnuzYfTBEc37t8QdRHLiwqVoRDD+EPxN2evfS2t+erPB08saOnuKide2kuRh2gBW+J/l15dgVdN4uHAXzf4nuMDxyv5Qz94yoVoroIc3SdOBHmToZ554lrOEI3CycMeAW6SpQN0Ycr+/dAo1YDyJkw8OqwIUNFRZqM9J8pnOl5ZptwHNqm2V/pM51Cq/TTT6JYpK8041g8HDxwrK94GY5Tj0/BP0Q/W1gRAgArr6/EwN0DRfFF7Rehu5d8PunfbC4eu+MycoQEmZSMk//eEhx3He1vkBMfiG5U2dkIO7gn7/j1heENFRVpMuJcSTzT07uR8PFIWmKCqI+c+GhZifzeQPEblD44WztrLdSAnL0+NVyj54yIqem6uSt+PvezKL671260qCyfAc1JO3dBk5QkiNW6fEmibIpPo9Yg7HC0IFa9Ht1FM2YRp44iIyUZAFDWxRXeDZtInFHJoCJNZob/r6Xg+OGt2oLjLTJejgMAmKUlPDb9K4hlnL+AxK1bJcnH2doZFwdd1NpWb0U9JGTKu+glholzDv8QfzxMeShqC+0fiqr2VSXISjvV8+d4/OmngljVPxdDYW0tUUbFt2excDut12fQE+PCOcel3S8nDAR0ehsKM+kXgy4JVKTJjLWdBewcXm65wpgC1mVe7lH5NOo21Cp5Lsfxgk3t2ijbRTi788nUaci6dSufM0qXhcIC4UPCUcG2gqit1fpWtI0UKVHxGfGou6Ku1rb/3v8PZS3Fs7mlwjnHrWbC7eksqlRBmdatJcqo+DLTlLgXHi+IaZtBT4xH9PVwPMtd9N3cygr+bTtJm1AJoiJNhgb/0ExwrFEIn62f3bJBn+kUSZXffxfForp1hyYtTYJschx87yB+aPGDKD4zdCYCVtLaSaT4loUvQ5sNbbS2hQ8Jh425vLYiuqNlhxCvPbu19DQcf312UnA86LumEmVC9OXCK3fRardqB+syxrNYMRVpMqQwU6BGowqvHAtnV53+d60ksyYLy+dquCh2o0FDSXPv5tUNp/uLF7dVaVTwD/FHpipTy1mEFMw/xB9zLs4RxccHjkf4EPHPgtRi//gDymjhuC3vo0fALCwkyqj4om8kgGte/n5xqVqG9ug0colPY3DnwsstAAO6dJMwm5JHRZpMdRwuHItmYfe24Dj88H59plMkzNxctG0UIN2MzxfKWJbJ902z0epGCH1suOtCEf17lPoo3xnDx/oew4f+H+o5o4IlHziA+MV/CmJV5s+DhZubRBmVjG2/Cyc79J7SUKJMiL5c3rcDyP3g71EvEOUqy2e8Z0mgIk3GOn74slBTWNQQtB1YMk/f6RSJwtYWNU6dFMUjfHwlyEYofEg4PB08RfGRB0ai385+NPuTFGj22dnovEn77hphg8PgbO2stU1K6Rcv4dEn4wQx5yFDULa9Ye9xeGLDTcFxi/dqwMyc3uKMWXZGOsIPH8g7NobFa19H38EyVqPhy0eejDGY2wp/iUZdNIzNw83LlRPN+ASAu336SpCN0Lae2zCjyQxR/Fr8NdRbUQ/P0p9JkBWRu3RlOvxD/LEmco2orX219ggfEi7LNbmyou7i/oABgpilhwcqTJsqUUYlIztDJVpyo14747qjQsQu79+N7Ix0AIBTpSrwqBcocUYlj4o0mev/1csFbs0shY9U5L4cx6tsatdGxe+/E8Qyw8IQt2iRRBm91KdWH6zpKn6zBYC2G9tiWfgyPWdE5Ozow6MIWhOktW1BuwX4PVg8aUYOlLGxiOoq3vXAa+8eLb0NS8gXwiEK/WY0ligToi/ZmRk4t2Nz3nGjbu+AKYyvpDG+/yMj41zRDsj9QM4Yg7m1cObnk1s3JMiqaBzffRf2XbsIYs/mzEXqqVMSZfSSv6t/vuupzbk4B/4h/kjJTtFzVkROlGol6q2oh08Of6K1fVevXWhVpZWes9KNOiUFt1uJl9XwjYyQIJuS9eR2IrIzVHnHDq42KFfZeGb3Ee0u79uFzNzFa+1dK8CvVVuJMyodVKQZgFFz2+R9bWYt/AS/5svJes6meCr/9pso9nD4h8h+KF70U99erKc2wGeA1vZma5vhl3O/6DkrIgcXnl5A4KpAreMUrcyscO79c6hmX02CzAqmyczEzUbiO0vGUKBxzrH5V+GHq750F83oKTMzcf6Vu2hBvd6Dmbm5hBmVHirSDICZhQLNe+dsFMsYg5lVPUF7fPQDKdIqMm1vDnc6dIQ6NVWCbMSmBU3Dwd4HtbatuL4C/iH+uJd0T79JEUkoNUr4h/jjg70faG3/tfWvOD/wPKzN5bk6P1cqcaO+eA1An4jrEmRT8s5svSM4bvSWBywsjWOleZK/y/t3CbaAqt26ncQZlR4q0gxE/fYvP6Wb2wQL2v6ZPEbf6RSbz/VrotjNho3AlfLYTaGCXQWEDQ7Ld3/Fblu7wT/EH0q1PPIlJe+7M98hcGX+A5FP9T+FTh7yXdmcq9WI9BfvfOBzVZ6TGgorM1WJi/uEH1AbvV1domyIvigzMwVj0Zr06gszc8Nd268gVKQZkAGzch51MqaAwsJL0Pb88SMpUioyplCg5vnzonikf13ZLNTLGMOi9otwpM+RfPsErgrEsH3D9JgVKW2nHp2Cf4g/1t9Yr7V9RZcVCB8SDntLez1npjuu0SCydh1RvNbFC2BG8ljon2nCsazvfBpoFMUnebMrB3YjIzkJQO5dtDbGexcNoCLNoDi52aFC9Zw3Bgs74QD8vyeOlCKlYjErYwevfXtFcakXu32di40LwoeEY1KDSVrbz8Wcg3+IPxZdln6mKim62wm34R/ij1EHR2ltb1KxCcIGhyGgvLy3EOOcI9Kvtihe4+QJKGxtJcio5N38LwZq5cvxgXaOVqjo7ShhRkQflFnCu2hBPd8z6rtoABVpBqfXpJzHL4xZQmEhvLX/9O4dbafImqW7Ozz+Fa+hFuHjK5s7ai8MrTMUFwdehJeDl9b2hVcWwj/EH9vvbNfaTuTpYcpD+If4o9f2Xvn2OdX/FJZ2XCr7OzWcc60fcjx374a5i4sEGZU8tVKDA38Jx9S9eMpAjNuVA3uQnpQIAChTzgW123SQOKPSR0WagTGzUKDPF40AABZ2wj3KVk0dL0VKxWZTpzaq/fOPKB7p6weuUolPkJCFmQW29tyKE31P5Ntn+snp8A/xx+4ow96o2tjdeH4D/iH+6LpZvHbYCzt77ZT9o81X3W4nfvTjvmYNrDyNZ6zWP1OFjzk7fVQHltbG8QiX5E+ZlYlz2zflHQf17ANzA95nVldUpBkg12plUd69LBgzh5mlcGDwg6tXJMqqeOyaBMF99SpRPLKOP9Qp8lufzNHaEeFDwnF2wNl8+0w5MQX+If749+a/srsraMqORx+Hf4g/eu/onW+feW3nIXxIONzt3fWYWfHcbt8BqsdPBLHKc+fANlDej2cLI+rSM2SmvZysY2FlBu8G5SXMiOhL2MF9grtodYKN/y4aQEWaweo9NWfjYHNb4Sfnjd9OlyKdEmHboAHcV60UxW82aozse/f0n5AObC1sCyzWvj79NequqIt5l+ZBrVHrMTvyAuccK67lLJ8y9tDYfPst67gM4UPC0aZqG/0lVwJuNA6CMlq4LVKFL6bBvmNHiTIqedkZKuz5M1wQG/aL9tnXxLhkZ6Tjv20b844b9+htEnfRACrSDBZjDANmBeXuQiD8RRVx6phEWRWfbcOGqL5tmyh+p3MXpBw9qv+EdPSiWNveM//xaEvClqD+yvrota0X0pXpeszOdGWqMjHtxDTUXVEXv5zPfyHiF3fOgioa3timCB9faJKTBTHXCRPgPHiwRBmVjqUTjwuO2w/1gzmtiWYS/tv2r+Aumn+w8Xz4KAgVaQbMyc0Obp72MLcRrrC9e+4vBv14zbpWTXjt3yeKR48ajdjf5Lkv4gvVHaojfEg4vm3+bb59bifeRtCaIPiH+OO/J//pMTvTEZMWA/8QfzRa3Qg7o3bm2+/zRp8b5J0zANBkZSHCx1cUrzBzBlxGGd5s7zc5vu6m4Nixgi1qBblJlA3Rp+RnsTi/c0veccv+Q2BuaSlhRvpFRZqBe/fzF489hZ8sXt0ywxBZVqumdR21+CVLcKdL/gO95aKnd0+EDwnHvLbz3thv+P7h8A/xR9DqIMRlxOkpO+Ok4Zq8fVY7/Pvm8Srdvbrj4sCLGOQ3SE/ZlazMGzdxo159Ubzq0iVwHqB9WzND9exBCsKPCh/lDvjK8O54kqI5sTYE6txFzit41oBvc/EetMaMGfIdl/w0bNiQn9fyBm+s0pOz8ffnJ5GZINwXc8LqLQa/hgzXaLSu+QQY1t6D52LO6bzobQ2nGljVZRVsLYxjTavSxDnHxpsb8e2Z/O9cvurThp9iSO0hpZxV6Yr/5x/E/viTKO65e7dRzeIEALVag8VjjwpiA2YFwcnNTpqEiF49vhmJtTM+zTvuO+tHVPEVL9JsDBhjFzjnDUVxKtKMw5mtd/Df9kNQpr0cE1WjcXN0nzxNwqxKTmRAIHhGhijuc/0amMJwbggnZiYieEMwVFz3pUVO9z+NMpZlSjErw6LSqDD95HTsvqv7Eidruq5BHZc6sl/nrCB33n4b2bfF6yHWCrsChRE+Alo++YRgNmfDrh4I6u4pYUZEXzjnWDvzMzy5GQkAqBHUDN0nfSFxVqUnvyKNFpcxEk16euHC3vtQpr2M3frvFNKTk2Br7yBdYiXE59JFPJkxA4kbhQvfRvrVRs0zp2HmaBirjTtaO+LS4EsAgN1RuzHlxJQCz2m6tmne1z+2/BFdq3c1+GKjsApzJ/KFfrX64fNGn8PCzLDvJgMAV6kQWcdfa5sh3VEujCuHHwoKNABUoJmQG6dP5BVoZubmaDVgqMQZSYPupBmR7EwV/vxkG7KT/xbEJ6/Pf+C0oUneswePJoq3Z/LYuAE2/trfxOQuNTsVS8KX4O+rfxfc+RVlLctiYbuF8Hfxh5nCeGa5qTVqXIy9iE8Of4K0Vz916MDD3gMhXULgbO1cStnpnzImBrfbBIvijn36oOI3X0uQUelLjsvAyi9PC2Ij5rSGhZXxfJ+T/Kmys/H3pFFIfhYLAGjY7R20HmjceyTT404T8ehmAtbP+hRc/TQv1nnMTNRu3fgNZxmWrKgoRHV9SxQvP3UKyn3wgf4TKkFKtRJ77u3B9JNFW+9uQuAE9PDuARcbw9kCKCU7BUceHiny/3Ng+UAsaLfAKB8JJ+/bj0fjxTuJVF26BGVatpQgo9KnUWuw6LVxaN3H1UdVP+MpvMmbnd26ESfXhgAAbMraY9icJbC2M76f71dRkWZC9vx5GdcPfymIjVu5DRZGtKaQOjkZNxuLZ3iZV6qIGocPS5BR6UjKSkKLdcVbsNPazBoDfAegp3dPeNh7SPaoNFOVievx17E0fClOPjpZrNcK6RyCwAqBJZSZPEVPmIiUvXtF8RonjsPc1VWCjPRjy/8u4vGtxLxjD/9yeGtsPQkzIvqUlpiAvyaMQHbuGOR2w0ajfifxh3JjQ0WaiZnzwU9QZbzcX9LMOggTQmZImFHJ02Rn40Zd7b+8fa5dBTMznqIUyFn7a9zhcYh4XvJjkJytndHZozMCKgTA28Eb9lb2sLOwg425DRTs5cQMlUaFbHU2stXZyFJnIVWZiqdpT3Er8Raux1/HkYdHkKEST/AorppONbGg3QK42Rn/2lhcqUSkf12tbT5Xw8HMjXco8dXjj3BszQ1BbPTCYCgUpjUG05QdWDofYQdzPpw4V66KIb/Mh8LIfpdrQ0WaiclKV2L+0F6CWM0Ws9DtE9H3gEF70xIdVZf8iTKtWuk5I/3QcA3OPD6DkQeNa9HSV40PHI/uXt1R3tZ09mZUPo3F7dbidaAsvbzguXOHUU8Yef4kDWu/Fm6vNui7prB3sZEoI6JvT+/eweppE8G5BgDQa+pX8AxoJHFW+kFFmgkKO3QeB5bMyjtmCif0+Px/8Aowvje9mO++R8Iq8QbtAOATcd2o39yAnOnqtxJvYfOtzVgdsVrqdAotuGowPvL/CN5O3rAxN8035eS9+/BowgRR3HXiRLiMHCFBRvqjUqrx5yfC7ew6j6xjlL+riHYatRprvpyMp1G3AQDudQPw7hffGP3v7heoSDNRfwzsDbUyM+/YsuxADPtfL9g5WEmYVenIfvgQdzpo39Ot2j9/w65JEz1nJL1sdTaikqJwPPo4IuIjcPDBQclycbJywnD/4WhYoSEq2FUwqMkNpe1mUBOok5JEcfc1a2AbGCBBRvrDOcfC0UcEMd/mFdF2kHjLK2K8zu/cgmMrlwMAzCwsMOSX+XCqWFnirPSHijQTlZGagoXD+wtiVo4TMXZxW6P8hPKmx5+AadxVK4rnmc8R+TwS0SnRuJlwE2eenMH95PsFnufp4InqDtURUD4Ajd0aw9PRE1ZmxvcBoLRkXLmCe337aW3zPn4MFuWN/07S5l8v4MntlwUqY8CYRW0lzIjoW1LsU/zz6RiosrIAAC36DUZQrz4SZ6VftJitibIpUxb1OnbFlf0vV2dXZRzGwtEMYxcb3y9CplDANzIC8X/9jdiffxa1R/r6ocqC+Sjbrp0E2cmXs7UzmlVqJnUaJoOr1YisrX17GytfX1TfvMkkPkyc2nRbUKABwKgF4jXhiPHinOPg8oV5BZpLVXc07NargLNMh+Hsp0OKrN2w0YJjddYVcE0qVs04nc8Zhq/csKGoefaM1rbosR8jwscXXKPRc1aEAM/mzsu3QHNfuwaeWzabRIEWeeYJLh94IIgNmd2MZnKamMjQ47h3+ULOAWPoMOITg99zuiRRkWYCGGP44H8LBbGspCVIepaBE+tvSpRV6TNzcIBvZAQq/jhba3ukX208X7NGz1kRU5X98CEifHwRt3ChqM3MwQE+EddhG2Dc489eeHInCYf+ES4l03tKQ5RxspYoIyKFjJRkHPlnSd5x/Y5voVJNHwkzkh8q0kxEuSrVUL1+A0FMlXkeYUeicfNcjERZ6Ydjz57wuXZVa9vTb75FhI8vNJmZWtsJKS6u0eBmUJN8J7V4HTyAmmfPmMTdMwBIjs/A5l8uCGIdhvuhQnV7iTIiUjm26i9kJOc87i5TzgUt+w+WOCP5oSLNhPSaOktwrMo4Ds6zcGD5dcTeT5YmKT1hZmbwjYyA+6qVWttv1A9AzLff6TkrYuwSNmxApF9trTM3XcaMhm9kBCyrVJEgM2lkZ6qwcrpwmEWDzu6o2cj4FykmQg+uXsG1oy9nm7cbNhqWNrYSZiRPVKSZEMYY+s76URDLSlwAANg4+zySnpX8SvFyY9uwIXwjta/Yn7B6NSJ8fKF88kTPWRFjo4yJQYSPL2JmfqW13edqOFzHjdNzVtJSqzVYOuG4IFbFxwlNenpJlBGRijI7CweWzs87rhnUHN4Nxdv8ESrSTE4V3zqitWfUWdcBAKtmnEZ6crYUaemdb2QEPHds19p2O7gtTSwgRcJVKtx9rw9ut9E+Q9F97Rr4RkYY9dZO2nANx+LXNk03M1egxwTTGINHhM5sWofEmJwPw1a2dggearw7pxQXFWkmaPDP8wTHyvS94Dxn+vPfn59EVoZKirT0zqpGDfhEXIdF1apa2yP9auNe334wxrUESclL2rETkXX8kRkeLmor26G9SU0MeN2/P4nXrRwxV7z9FTF+Mbdv4vyOzXnHrd4fijJOzhJmJG9UpJkgc0tLdP14siD24rEnACybeByqbLW+05IEYwzeB/bD68B+re0ZV64g0tcP9/oPoDtrRKusqLuI8PHF488+09peI/QUqsybZzITA1536J/riL2fIoh99EcrWmrDBGVnZmD3/F+hUee8v1T2qQ3/tton1JAcVKSZKN+WwbAuK5xNpco8l/f1n+OOQa02naLEsmpV+EZGwO2rmVrbMy5dQqRfbdxo1BhcZRp3GsmbZd3NKc6iunbV2l5x9mz4RkbA3Nl07xKc/PcWIs8IZ48P+q4pLK1N63EvyXE0ZCkSnjwGAFja2KDzmIlgCipD3oSujgkbsfBvwbEq4wS45uUn3sVjj4JrTOtRn1P//vCNjECZ1tofxWhSUhBZx5+W7TBhyXv25BRnXbQXZxaVK6PW5Utw7NVTz5nJy/ndd3Hl4ENB7J1PA2HvYiNRRkRKt86GIvzwyycW7YaNhmMFmtVbECrSTJiFpZV4tmfSUsHxwjFHTHJMVtU/F8Pn+jVYurvn2+dG/QBE+PhClZCgx8yIFDjneDRpEiJ8fPFo4qR8+9U4HQrvQwehsDbtRVnDjjzE2e13BbHu4+ujorejRBkRKaU8j8P+JS/HQtdq1gq+LWn7L11QkWbiqvjWgWeDxoJYduouwfHC0Uf0mZJsMIUCXvv2otblS7Br3jzffreaNkOEjy8yb9zQY3ZEH9RJSYjw8UWkrx+Sd+/Jt1+N06E5jzadnPSYnTxdO/EIJ9bfEsTeGlMXVX1N97GvKeMaDfYu+B2ZqTlPacq6uKL9h2NMdoxmYVGRRtDzsxmCY43yBjQq4VphC0Yd1mdKsqKwtka15cvgE3EdLp98nG+/uz16IsLHF0m7duXbhxiG9HPnEOHji5tBTfLtY+bkhFqXL1Fx9oqL++7j6Grhh5VOH9WBR10XiTIiUruwayseXL2Sc8AYuo6dDGu7MtImZUCoSCNgjOGj+X8JYtkpa8G5cIanKRdqQM51ch07Fr6REaiySLz/4guPJ3+aM9vvyy9N8lGxoeJqNWJ/+x0RPr64Pyj/7WmchwyBb2QEap4ONfnHmq8K3Xwbp7fcEcSCB/nAu0F5iTIiUou9F4UTa1fkHQf1fA9V/OpImJHhYcb4JtKwYUN+/rx4XR7yZqEbV+P0v2vzju0cXaBmwjcrJzdbDJiV/90FU5MVFYWorm8V2M/76BFYuNEgWTlSPX+Oe/36Q/ngwRv7VV2+DGXe8NjblB1eEYGIUOHd9/ZD/VAriL7nTZUyKxOrpk3E80c5k0fcvGqg3ze/wMzEFnLWFWPsAue84etxupNG8jR7733BcVpiHPyaPhXEEmLStS5MaaqsPD3hGxmBGqdD39jvdptgRPj44kZQEyifPn1jX6IfKYePIMLHF7eaNX9jgeZ9/FjOjF8q0LTaueCKqEB7a0xdKtBM3LFVf+cVaBZW1uj6yadUoBUBFWlEYOzydYLji7tXI3ig8HHF07vJ2PDDOZCXzJ2cch6Bnfvvjf00SUm43boNInx8cyYb3LyppwwJAKSFhuZd++gxY/LtZ9uwIWpduQzfyAhYlKfHddpwzrHhh3O4Hx4viPeaHEhj0EzcnQtncWX/y7G5wUNHiLYjJLqhx51E5F7YJWz6XjiZYNicNVgzS3hNyzpbY/APzfSZmsHgnCP2x5/wPCRE53OqLFyAsm3blmJWpkedmoq73XtA+fixTv3LfzoZzsOG0QKbBeAajn+mnUJ6knCv3z5fNIJrtbISZUXkICHmMVZPm4is9DQAQI2gZug2cRrN5ixAfo87qUgjWu1fMg/hh/blHTOFAh/OW4+VX54W9R29MJi2eHkD1fPnuNWscI/KHPv1hdvMmVQsFBJXq/Hsjz8Qv3RZoc5zX7kCto0alVJWxkWt1mDxx0eB1946BswKgpObnSQ5EXnIzszAmumTER+dM3ygbDlXDPppDmxe292GiFGRRgrtf33fFhw37PYOAjr311qoffR7K1ja0HiDgqRfuoT7/QcU6hxFmTLw3LUTFhUqlFJWhour1UjZtw+PJk0uuPNrKv30I+y7d6dP+IWgzFZjybhjovig75vCvhztJGDKOOfYOedn3Dx9AgBgZmGB/t/8ggqe3hJnZhioSCOFplIqMWdgL0Gs39c/o1yVGlj+6QlR/0HfNaUtXwpBnZSEx9OnI/XgoUKdZ9u4MSr99CPM3dxMrsDgKhXS//sP0ePGQ5OaWujzK/44G449TXu7pqLKTFNi+WTxz/0HPzWHnYOVBBkROTm3fROOr3651WCn0RNQp017CTMyLFSkkSKJvReFlVPGCWJj/1oHC0sNpyPDAAAgAElEQVRbLP7kqKh/z0kBqFyTFvYsLM45krZuw5Np04p0vnn58nD55GM4vPUWFLa2JZyddHh2NhLWrcPTH2YX6fyynTqh8m//AzMzK+HMTEtibDpWzzwjig/7tQVsylhKkBGRk/thl7Hph5ngXAMAqNfxLbQfPlrirAwLFWmkyM5sXo9T61cKYpPWbgcHw6Ix4i2jmvbyQmCn/Pe8JAXTdf01XZQbPQrlhn8IszLyHC+kTk1F0rZtiJs3H+rExGK/nuee3bCqXr0EMiMA8PD6c2yfe1kUH/6/lrC2s5AgIyInSbFPseqLichMSQYAVKrlhz4zv4eZOX1vFAYVaaRYFo8chLTElxuJu3nVwPs//A6u4Vj//X+If5Qm6F/R2wG9Jgea3OO40qBOSsKTGTORsn9/ib4us7VFuaFDUbZdW5i7uoLZ2EBhZQVmUTK/XLlGA3VCArKjopAaGorkbdt1nmVZGOWnTIFTv75Q2NCj9pJ2af8DhG6+LYhZ21lg6M/NoTCjSS2mTpmdhXUzPkfsvZydJuycnDHoxzmwc6SnKYVFRRopFm3j05r27o9m770PzjlO/XsbVw49FJ03cm5rmFvSo6aSpMnIQNyffyJ+8Z9SpyIJh3ffgfOQIbDy9qbZr6WEc471359DfLRw3J9XYHl0HkHb+pCc75G9C37D9RM5T1MUZuboO2s2KtX0lTgzw0RFGim2lPg4LBnzgSD27rSv4VG/AQDgXngcdi0IE533/jdN4FjeeMZJyZEmLQ3ZDx8iafsOPP/rr4JPMBCu48fBsV8/2sBcj/KbINDsXW8EdKgmQUZEji7u2YEj/7z8oNj+wzGo16GrhBkZNirSSImIjriK9bOmCmIfLfgL9i45q7KnPM/Eii/EWyR1+qgObbQsEc450k6FImbmzFJ53Fgcdi1bwmX0KNj4+5fYY1ZSdNE3ErDt90uiePcJ9VHVx1mCjIgcRUdcxcZvp0OjVgMA6gR3QMeR42h4SzFQkUZKzIVd23B0xVJBbPzKzTC3zJnlpVblLnb5Gt/mFdF2EN0KlxOuVEKVkID006eRcSUMWXejkH0nCuqkJPCsrGK9tnnFirBr2hS2gQGw9PSClZcnzBwcSihzUtJObriFK4fFQxZoggB51fPHj7B25md5EwXcvGqg76yf8n7/k6KhIo2UqC0/fY2oi8L9Oyet2yH4JLV/+TXcOifcTNzMQoERc1rTDgWEyIRapcHSicehVmoE8XKV7dD3y8Z0d4TkSUtMwNoZnyIpNuf3uo29AwbO/gP2Lq4SZ2b48ivSaNQtKZJeU74SxV5fT63j8NpoP9RPEFMrNVg05giS4zJKNT9CSMESY9Ox+OOjogKteW9v9JsRRAUayZOdmYEtP32dV6CZW1qh15SZVKCVMirSSJFNXLNNcPzs/l0cXblcEKsV5IYBs4JE56788jQuH3xQqvkRQvIXEfpE6wK1fb9shPrtaYIAeUmjVmPnHz/haVTOciyMKfD2hCmo6F1L4syMHxVppMgUZmYYvWSVIHZh5xZcObBHEHNys8OIua1F55/69zaWTz4BlVJdqnkSQl7SqDXY9PMFHF4RIWobMac1XKqUlSArIleccxxctgB3L70cQtRu+Gh4NWgsYVamg4o0Uiy2Do7o9/XPgtjrP9AAYGFphrGL26JGI+Em4ZlpSvz5yTHERCWVeq6EmLrE2HQsGntU9PPm4V8OYxYFw8KK1jQkQmc2rUP44ZcLaQf16ot6HbpImJFpkaRIY4w5M8YOMMZu5f5XtAgSY6wqY+wIYyyCMXaNMTZeilxJwSr7+OGtcZ8JYpt/nIWnd++I+nYcXhs9JwaI4pt+voA9f4ZDo9aI2gghxfffjiitjzfbDvbFW2Pr0fgzInL1yAGEblydd+zXqi2a9x0oYUamR6o7aVMBHOKc1wBwKPf4dSoAkznnvgCaABjLGPPT0o/IgE/z1mg54ANBbNXU8UiOixX1rVzLCR/90UoUj7r0DIvGHkVcdEpppUmIycnKUGHBqMM4t+ueqG3wD83g26yi/pMisnf38gXsXzIv79i9bgA6jvyEink9k6pI6wEgJPfrEAA9X+/AOX/COb+Y+3UKgAgAlfWWISm0xj16o267zoLY0rHDkJmaKupraW2OMYuC4d9a/E+6/rtz2PtnOLjG+JaHIUSfLu67j2UTj4vitYLcMGZRMMo6W0uQFZG7p1G3seO32eCanCcbrh6e6DZxGm2aLgFJ1kljjCVyzh1fOU7gnOe77wtjzAPAcQB1OOfJ+fQZAWAEAFSrVq3B/fv3SzRnorv1s6YiOuKqIDZu5SZYWFpp7Z8Qk4Y1s85qbes3ozHKVS5T4jkSYsxSE7IQMu2U1rb3pjVEeXd7PWdEDEVSbAzWfPkp0pMSAQBlXVwx4NtfUca5nMSZGTe9L2bLGDsIwE1L03QAIboWaYyxMgCOAfiec75Zl7+bFrOV3vxhfZGVliaITVi9Jd9PYpxznFh/C+FHo0VtngGu6DyiDt1mJ6QAnHMcW3sT144/ErU5udmi74zGMDOj+WJEu+RnsVj/9VQkP8sZpmJlZ4f+3/yKclWqSpyZ8ZPVjgOMsRsA2nDOnzDGKgI4yjkXLbjCGLMAsBPAPs75b7q+PhVp0uMaDX7r310Un7h2GxSK/GeQJcdlYOWXp7W20V01QvIX/ygV6779T2vbO58GoqK3o9Y2QgAgOe4ZNnw9NW+xWjMLC/Se/i2q+NaRODPTILci7RcA8ZzzHxljUwE4c84/f60PQ854teec8wmFeX0q0uRBpVRizsBeoviktdvBFG/+NH9y4y1cOSTeR9Cjrgu6jvIHo22lCAGQs63TroVheHj9uajNo64Luo72p7vQ5I1Snsdhw6xpSHz6BABgZm6Onp/NgEf9BhJnZjrkVqSVA7ABQDUADwC8xzl/zhirBGAZ57wrY6wFgBMAwgG8WJfhC8757oJen4o0+chKT8P8oX1F8df3+dQm5XkmVnwRqrWty0h/eAbQdiTEtN2/Fo+d865obRswKwhObnZ6zogYmtSE59jw9VQkPHkMAFCYmaPHZ9PhGdBI4sxMi6yKtNJGRZq8ZKWnY/7QPqL45PU7dTr/1KbbuHxA+xZSg39oRjPUiMnJTFVi1czTyEpXidr8g6ugZZ8adPeMFCgtMQEbvp6G549zxgIrzMzRffI0eDUQb+VHShcVaURS2go1MwsLjF+5Wac3k9SETIRM035XzaOuCzoOr02rpROjxznHkZWRiAh9orWdPrQQXaUnJWLDN18gPjrnA7DCzAxvT5iCGo2bSZyZaaIijUhO26NPK1s7jP1rnc6f+iPPPMGhf8R7DgJAgy7uaNzNEwoar0aM0O0Lsdi39KrWtiY9PRHYyZ3unhGdpCcnYeM3XyDuYc5SVUyhwNvjP0fNJi0kzsx0UZFGZCEzNRULhvcTxGzsHTB6ySqd32A0ag12zLuC6MgEre3Bg3zg17xSsXMlRA5iopKw6ecLWtscytug95SGsLajRUaJbjJSkrHxmy/w7ME9AABjCnQd9yl8mol3gSH6Q0UakY2MlGQs/HCAIGZuaYVxIRsLnPX5qsSn6Vj9lXgvwhe6jauHan60ACMxTHHRqVj/nfYlNQCg/1dBcK5IEwOI7jJSU7Dx2+l4di8KQE6B1uXjSfBt0UbaxAgVaURe0hITsHjkIFFcl+U5Xnf/ajx2ztc+ww0A+n7ZCC5VyhY6R0KkUNCHj/ZD/VArSNs64YTkLy0xAZtmf5VXoIExdB49AbVbt5M2MQKAijQiQ6nP4/Hn6CGi+ITVW2Fmbl6o1+Kc4+bZGBzMZ7waQIOqibwlx2dg9Ywz0OSzZ21gp2po0tOLxp2RQkt8GoNN38/IWwcNADqNGo86wR0kzIq8ioo0IkvaxqgBwLiQf2FhXfiCinOOS/sf4PSWO1rb7Ryt0PfLRrApY1no1yakNKQmZGLDD+eQkaLU2u7XshLaDKhFxRkpkth7Udj0w8y8vTgZU6DjyE+oQJMZKtKIbCmzszB30Lui+Oilq2Fr71Ck1+Sc4/i6m7h6TLyHIQCYWyjQb2YQHFxtivT6hBRXakImtv1xGYlP07W2ewW6ouPw2lDQXpukiB5eD8fWn79FdkbO95i5hSXeGv85vBs1kTgz8joq0oisaTRq/N6/hyj+4bzlcChfoeivq87ZMufBNfGWOS+881kDVPQqWjFISGElxKRh3Tf/5ftYs3ItJ7w9ti7MLWndP1J0t/4Lxa65v0CtzLlDa2Vrh56fz6C9OGWKijQie5xz/Navmyg+6Ke5KO/hWazXzs5U4d8fzyMhRvtdCwBoPaAW/JpXpDsXpFRERz7Htj8u59vuUrUMekwIoOU0SLGFHdqHg0sXgPOcHRXtHJ3w7hffwNW9usSZkfxQkUYMAuccf44ajLRE4Rpo3Sd/USIrYSuz1di1IAyPbmhfYw0AqtUuhw5D/WBdht4sSfFo1Bqc3hqV77ZmAGDvYo1ekxugjJOVHjMjxohzjrNbNuDU+pV5MUe3iug9/Vs4lKcZwXJGRRoxGJxzrP5iEp5G3RLEm733Ppr27l8if4daqcHhVRG4efbpG/v1nBiAyrWcSuTvJKYjLjoVW/53EdkZ4r01X6hWuxw6DveDlS19GCDFxzUaHAlZikt7d+TFylf3wrvTvoatg6OEmRFdUJFGDM7ehX/g2rGDglj1+g3wzrSvS+zvUGarcWn/A5zbefeN/eoGV0Hz3t70KJTkS63U4L9dd3Fx7/039qvfviqaveMNRtuXkRKiVimxZ8HvuBF6PC9WrU5ddJ/8JaxsbSXMjOiKijRikC7v341DyxcKYmYWFhi/YlOhF70tSMzdJGz77RJUSk2+fWzsLdFrUgCc3Gild5Ij9n4yds6/ku8SGi90+qgOvAJdaSkNUqIyUpKx848f8eBqWF6sZpMW6PLxZJhb0F1aQ0FFGjFY0devYv3XU0XxT0I2wtK65JfQUGarcXzdTUSGPnljP58mbmjRtyasbAq38C4xfFnpSlzcdx8X9+U/1gwAqvg4odNHdWgyACkVcQ/uYeuv3yHpaUxerF7Ht9B26AgoFDQ72JBQkUYMWvKzWCz9eJgoPnzuMjhWKL0BsffC47BrQViB/YK6e8K/TWUaX2TEuIYj7Eg0Tm68VWDfDsP9UKNhBbprRkrN7XNnsHv+/6DMzMiLNe8zEEHv9KXvOwNERRoxeMrMTMwd0lsU7/Hpl6W+OGNGajb2LArHkztJBfat164qAju5w9aedjUwdBq1BtdPPcGxNTcK7FuphiM6flgbdg40S5OUHs45zm5ej1MbVuXFLKys0eXjSSUyA55Ig4o0YhS4RoM5g9/NW6DxhbrtOqPDiI9L/+/nHFGXnmHvkqs69a/q64SWfWvSGDYDkpaYhdAttwuc+ftC8EAf+DR1o0klpNQpMzOxd9EfuHnmZF7MoXwF9PhsBlyreUiXGCk2KtKI0eCcY8tPX+PuJeG/scLMDONXbdbbWAy1SoPLBx/gzNYonfrbOlgieKAP3OuUo8cRMqJRa/Dg2nMcX38TKfGZOp0T0LEaGnTxoPGIRG+Sn8Vi6y/f4tn9lzPRq9aui7cnTCny9nlEPqhII0Yn7NBeHFgyXxQfsfAflC3notdcUhMyce3EY5zffU/ncxp29UC9dlVpULkEUp5n4vrJwv17+TRxQ8u+NWFJhRnRs+jrV7H999nISH453KJ+p7fRZvCHMDOn70djQEUaMUrx0Q/xz+TRonj3T6ejRqOmEmSUc4ct6tIzHF0diexMtc7nNe5WHTUbu8HexZrutJWw7EwVrh57hPO770GZpfu/SfPe3vBvUwVm5vQok0jjyoE9OPz3YmjUOd+3CjNztBs+CnXbdZY4M1KSqEgjRkuVnY05g94RxWu3aY9Oo8ZLXvDERafg2JqbiIkqeNLBqyrXdETtlpXhXqcc3b0pBK7heHwrEddDH+s8ruwF12pl0apfTbh50uMjIi21Sokj/yzFlQO782K2Do7oNmkaqvjUljAzUhqoSCNGb/Psr3D38gVRvLTWUyuKzFQlzmy7g2snHhfp/Co+TqjdsjKq13OhuzvIWa8sOjIBEaFPcP9qfJFeo25wFQR2dqdZmUQ2Ep48wq65v+Bp1O28WHkPL/T4bDrsXcpLmBkpLVSkEZMQdmgfDiyZJ4r3+Wo2qvr5S5DRmz17kIL/dt7FvbC4Ir9Gefey8KjrAg9/FzhXtIOZhfEVb2qVBgkxaXh0IxG3zj/F07vJRX6tyjUdUb99NVSq6QhLa7pDSeTl+vHDOLh8kWD9s1pNW6LT6PGwsLKWMDNSmqhIIyYj7sE9hHwmXo7Dr2Uwunw8WYKMdKNSqhF7Lxm3LzzDtROPoFEX/2fTwdUG5d3LwrWaPcq7l4VzJTtYl7GQ/BHw65TZaiQ8SUNcdCriHqYiLjoFT24X7vFwfjzquqBBF3e4VadHmES+sjPScXD5IkScOJIXMzM3R8sBQxHYtbvsfmZJyaIijZgUlVKJP0cNRmZqiqht7F/rYG1XRoKsCk+j1iAuOhURp57g2olHKK0fVyc3WziUt4WdoxXsHCxh52iFMo5WsLA2h8KM5f0xM1Pkfp3zX8aQ8+bBAMYAzgFVtgYZKdlIT8lGRnI20nP/JMWmIy46FakJWaXzPwGgVpAbfJtXRCVvR9rAnBiMmDu3sGvuz0iMebkVnVPFynhr3Geo4OktYWZEX6hIIybp/I7NOLbqL1G8x2cz4N0wSIKMio9zjriHqbh24hEiQp+UyB03Q2NhbQa/ZpVQM6gCXKqUoYVkiUHiGg0u7NqKE2tXQKNW5cVrt26PtsNGymYsLSl9VKQRk5X4NAbLx30oilerUxe9p38HpjCON3i1SoP4R6m4fzUeD67FI/ZeCjQaw/75rlDdHu51yqGqnzOc3exolisxGmmJCdi76A/ce2Wyk6WNDdp/OBa+LdpIlxiRBBVpxKRxzhHy6VjERz8QtQ35dQFcqrpLkJV+cc6hzFIjKTYDzx6kIPZ+MmLvp+DZA/Ej4dJkbqmAS5WycKlaBi5VysClalk4udnSIH5iMu6FXcKe+f9DelJiXszNqwbeGvc5HN0qSpgZkQoVaYQAuHrkAPYtniOK+7Vqiy5jJ0mQkXxxzpGdoYJGw6FQMLDcPwrGwF4dj/ZKf67hYIzReDBCtFCrlDi1fhXObd8kiDfs9g5a9BsEM3PafcRUUZFGSK6U53FYMvoDrW0fzlsGh/Ju+k2IEGL0nty6gX2L5wju5ts6OKLL2EnwqBcoYWZEDqhII+QVnHMc+WcJLu3dIWoL7NoDbQZ/SFPeCSHFpszMxKkNK3Fh93a8Oj3bo14gOo+ZCDtHJwmzI3JBRRohWiTGPMHy8R9pbftowd+wd3HVc0aEEGNxP+wyDiydh6TYl9uTmVtZoWW/wQjo3M1oJi2R4qMijZA32DX3F0SeOiaK1+vQBe2Gj6G7aoQQnWWmpuLYquW4euSAIO5eNwAdPhpLQyqICBVphBTg2YN7WKFlpwIAGDj7D1pUkhBSoFtnQ3Hor0VIS0zIi1nblUGbIR/Br1Vb+sBHtKIijRAdaDRqbJ49C/fDLonaXKp5YNCPc6AwM5MgM0KInKUlJuDQX4tw62yoIF6zSQu0HTqSxp6RN6IijZBCeNNdta4fT4Zvy2A9Z0QIkSPOOa4dPYijK5chKy0tL27n6IR2w0ejRuNmEmZHDAUVaYQUwcl1K3F2y3qtbaP+XEmfjgkxYXEP7uFIyFI8uHpFEK8T3BGtBw6DdRnD2COYSI+KNEKKKDMtFQuG9dPaVjOoOd6eMIVmaRFiQtKTkxC6YTXCDu4F55q8uEMFN3T46GO4+9eXMDtiiKhII6SYbp0NxfbfftDa1nHUOPgHd9RzRoQQfVKrlLi0dyfObFqHrPSXjzYZUyDwrR5o3ud9WFhZS5ghMVRUpBFSAjRqNdbPmorHNyO0tg/+eR5c3avrOStCSGninOP8js04vvpvUVs1//oIHvwhXKp56D8xYjSoSCOkBCU+jcHycR9qbbOxd8CwP/6EtR2NRyHE0N29fAGbZ38lijtVrIzWg4bDM7ARLatBio2KNEJKwe3zZ7Htl2+1tvm1DEbHUeNhZm6u56wIIcX1/HE0/p44Smtb64HDENClG22ITkoMFWmElBLOOY6GLMXFPdu1tjfu+R5a9BtMn7YJMQCZqalYPmEEMlOStba/M3UWqgeI3ksJKRYq0ggpZcrMTIR8/jGSnsZobW87bBQCOr2t56wIIbpQZmdh47fT8eRmpNb24CEfIbBrDz1nRUwFFWmE6Encg3sIyWchXADoNnEqajZpoceMCCH5UauU2PrLd7h3+YLW9tqt26PTqHG0zA4pVVSkEaJn0RFXsX7W1Hzb35vxParVqafHjAghL6hVKuxZ8BtuhB7X2l6uSjW8/8NvtKQG0Qsq0giRyJsmFwBArylfwTOwkR4zIsR0qVUqHFgyH9eOHdTabmljg2F/LKHdRIheUZFGiMTCDu3DgSXz8m2nPUEJKT0qpRI7fvsBURfP5dvno/l/wd61vB6zIiQHFWmEyADnHGc2rUPoxtX59gn+YAQCOnej2aCElIDsjHRs/HY6Yu7cyrfPB78tQrnKVfWYFSFCVKQRIiOcc5zdsgGn1q/Mt0+Td/uh6bv9oTAz02NmhBiHlOdxWDvjM6TEPcu3z8DZf6CCp7cesyJEOyrSCJGpKwd24+Cyhfm2V6tTD90nT4eVra0esyLEMBU0YQcAhv7+J5wrVdZTRoQUjIo0QmQuMvQ4ds35Od92xhQY/PNc2iOQkNdwznFpz3YcCVmabx8bewcM/mkuyjiX02NmhOiGijRCDETUpXPY8uPXb+zTecxE+LVqS+PWiEnLSk/H3oW/4/a50/n2cfXwRJ8ZP8C6DO2lS+SLijRCDEx89AOs+XIysjMy8u1Ts2lLdBr5CSxt6FEoMR26PNKs16Er2g4bCYWCxnQS+aMijRADpczMxK55v+DO+bNv7Nfz85nwatBYT1kRol9qlQpHVyzD5X0739iv0+gJqNOmvZ6yIqRkUJFGiIHjnOPi7m04umLZG/tVD2iILmMnwaasvZ4yI6T0PLwejo3fTAfnmnz7MKbAgO9+hZt3TT1mRkjJoSKNECMSHXkN67+aUmC/TqPGw691W3rkQwxKelIids//H+6HXXpjP7+WwWj/0VjauokYPCrSCDFCKqUSR1csw5X9u97Yz8LKGj0/n4lqderqKTNCCketUuL8zq04uTakwL69pn4FzwDaSo0YDyrSCDFyMXduYcPX06DMynxjP5eq7nh74lRaYZ1IjnOO8EP7cGDp/AL71mjcDB1HjYO1Hc3SJMaHijRCTIRKqUTohlU4t31TgX2rBzRE++FjaL9Cojecc9w8cxI7//ipwL5WdnZ494tvUNG7lh4yI0Q6VKQRYoJSn8fjwNL5b9xU+oXyHl7oNHo8ynt46iEzYkq4RoOwQ3vfuLPGq1oPGo7Art1pLCUxGVSkEWLi4qMfYPtvs/H80cMC+9o6OKLTqPGoXr8BmEKhh+yIsclKT8eZzetwfsdmnfrX7/Q2WvYfTGv+EZNERRohJM/9sMvY+uu3UGVl6dQ/qFcfNOz2Do0HIm/09O4dHF+1HA+uhunU37dlMNp+MJJ2AyAmj4o0QohW0devYt/iOUh8+kSn/o5uFdFm8IfwDGxM21KZuOzMDJzbvhlnNq3V+Ry/lsFoNXAY7BydSjEzQgwLFWmEkAI9fxyNA0vnI/r6VZ3PqdmkBYJ69aGxbCZArVLi2tFDOL1pLVKfx+t8XtPe/dG4x3swt7QsxewIMVxUpBFCCiUlPg5nNq9D2MG9hTqvWp16COrVF1X96tB4NgOXnZGOa8cO4fSmdchITtL5PCtbOwR/MAK+LdpAYUaD/wkpCBVphJAi45zjQfgVHFu5DM8e3CvUuS5V3VG/01uo1awVjWmTuWf37+Linh24emR/oc+tE9wBzfq8j7LOLqWQGSHGjYo0QkiJUWZm4sKurTi1YVWRzq9Uyw/1O3SBd1AzWFhalXB2RBfJcc8QceIILh/YjdT4uEKfX8HTG836vI/q9RvS2ERCiomKNEJIqclMS8WV/btxZvN6qLJ1mzH6OudKVVCrWSv4NG8Fp4qV6Y2/hCizs/A4MgLXjx/C9RNHivw6FWvUQtPeA+BRL5D+bQgpYVSkEUL0RpmZiesnDuPMlg1FukvzqgqeNeDVoDHc69ZHeQ8vGnyej8zUVNy9fB63z59F1PmzUCmzi/V6NYKaIaDT26jsU5vGlRFSyqhII4RIhnOOhCePEX54H64c2ANlZkaJvK5jhYpwrxuAqrXrws3LG/Yu5Y1ysgLnHNkZ6Xh27y6iI64iOvIaoiOuQq1Ulsjru1R1R0CXbvBt0QYWVtYl8pqEEN1RkUYIkRXOOWLvReHqkQO4cfpEoWYPFoadkzPKu1eHY8VKcKxQCY5ubnCsUAkO5cvDzNyiVP5OXWVnZiAl7hmSYp/i2YN7iHtwD8/u30V89INS+zur1akHv1ZtUaNxU1rdnxCZoCKNEGIQ1ColHl4NQ+TpE7gReqLIY9xKGmMKMIUCCoUCUDAoFIqcGGOAQgFVZmaxHzGWpPLVveDVIAiegY3g6l4dZubmUqdECMmHrIo0xpgzgPUAPADcA9CHc57wWh9rAMcBWAEwB/Av5/wrXV6fijRCjA/XaJAc9wwPrl3B/bDLuH/lIjLTUqVOS1LlqlRDFd/aqFanHtzrBsLKlu6MEWKI5Fak/QzgOef8R8bYVABOnPMpr/VhAOw456mMMQsAJwGM55yfKej1qUgjxPRwzpESH4enUbcQc+cWnkbdRsydm8hKS5M6tSJxrlQFLu7V4VrNAxWqe6GCpzds7B1oZiUhRii/Ik2q+989ALTJ/ToEwFEAgiKN55Zk8lUAAAitSURBVFSPLz4mW+T+Mb5ns4SQEsEYg72LK+xdXFGjcbMC+6tVSiTFxiLx6WMkx8YiIyUZmakpyEhNyfs6MyXn66x03Qo9plDAysYWlra2sLS2gYWNTe6xHco6l4O9iyvKurjC3qU8yrq4wqasPRVdhJB8SVWkVeCcPwEAzvkTxlh5bZ0YY2YALgDwBrCAc342vxdkjI0AMAIAqlWrVvIZE0KMipm5BZwrVYZzpcpSp0IIIVqVWpHGGDsIwE1L03RdX4NzrgZQnzHmCGALY6wO51zrzs+c8yUAlgA5jzuLkDIhhBBCiGyUWpHGOW+fXxtj7CljrGLuXbSKAGILeK1ExthRAJ0BaC3SCCGEEEKMiVSrPm4HMCT36yEAtr3egTHmmnsHDYwxGwDtAUTqLUNCCCGEEAlJVaT9CKADY+wWgA65x2CMVWKM7c7tUxHAEcZYGIBzAA5wzndKki0hhBBCiJ5JMnGAcx4PoJ2W+GMAXXO/DgMQoOfUCCGEEEJkwfg2uSOEEEIIMQJUpBFCCCGEyBAVaYQQQgghMkRFGiGEEEKIDFGRRgghhBAiQ1SkEUIIIYTIEBVphBBCCCEyREUaIYQQQogMUZFGCCGEECJDVKQRQgghhMgQFWmEEEIIITJERRohhBBCiAxRkUYIIYQQIkNUpBFCCCGEyBAVaYQQQgghMkRFGiGEEEKIDFGRRgghhBAiQ4xzLnUOJY4x9gzAfanzKGEuAOKkTsKA0fUrHrp+xUfXsHjo+hUfXcPiKc3r5845d309aJRFmjFijJ3nnDeUOg9DRdeveOj6FR9dw+Kh61d8dA2LR4rrR487CSGEEEJkiIo0QgghhBAZoiLNcCyROgEDR9eveOj6FR9dw+Kh61d8dA2LR+/Xj8akEUIIIYTIEN1JI4QQQgiRISrSCCGEEEJkiIo0GWKMOTPGDjDGbuX+10lLn6qMsSOMsQjG2DXG2HgpcpUrXa5hbr+/GGOxjLGr+s5RjhhjnRljNxhjtxljU7W0M8bY3Nz2MMZYoBR5ypkO19CHMXaaMZbFGPtUihzlTIfr937u914YYyyUMVZPijzlTIdr2CP3+l1mjJ1njLWQIk+5Kuj6vdKvEWNMzRjrXVq5UJEmT1MBHOKc1wBwKPf4dSoAkznnvgCaABjLGPPTY45yp8s1BIB/AHTWV1JyxhgzA7AAQBcAfgD6a/me6gKgRu6fEQAW6TVJmdPxGj4HMA7Ar3pOT/Z0vH53AbTmnNcF8C1oMLyAjtfwEIB6nPP6AIYBWKbfLOVLx+v3ot9PAPaVZj5UpMlTDwAhuV+HAOj5egfO+RPO+cXcr1MARACorLcM5a/AawgAnPPjyHnTJEBjALc551Gc82wA65BzHV/VA8AKnuMMAEfGWEV9JypjBV5Dznks5/wcAKUUCcqcLtcvlHOekHt4BkAVPecod7pcw1T+ctagHQCaQfiSLr8HAeATAJsAxJZmMlSkyVMFzvkTIKcYA1D+TZ0ZYx4AAgCcLfXMDEehriEBkFPkP3zlOBriwl+XPqaMrk/xFPb6DQewp1QzMjw6XUPGWC/GWCSAXci5m0ZyFHj9GGOVAfQCsLi0kzEv7b+AaMcYOwjATUvT9EK+ThnkVPMTOOfJJZGboSipa0jyMC2x1z9h69LHlNH1KR6drx9jLBg5RRqNpxLS6RpyzrcA2MIYa4Wcx8btSzsxA6HL9fsDwBTOuZoxbd1LDhVpEuGc5/sDwRh7yhiryDl/kvsoSevtVMaYBXIKtNWc882llKpslcQ1JALRAKq+clwFwOMi9DFldH2KR6frxxiri5xxVF045/F6ys1QFOp7kHN+nDHmxRhz4ZzT5uu6Xb+GANblFmguALoyxlSc860lnQw97pSn7QCG5H49BMC21zuwnO+O5QAiOOe/6TE3Q1HgNSQi5wDUYIxVZ4xZAuiHnOv4qu0ABufO8mwCIOnFY2UCQLdrSPJX4PVjjFUDsBnAIM75TQlylDtdrqF37nsIcmdoWwKgYjdHgdePc16dc+7BOfcA8C+AMaVRoAF0J02ufgSwgTE2HMADAO8BAGOsEoBlnPOuAJoDGAQgnDF2Ofe8Lzjnu6VIWIZ0uYZgjK0F0AaAC2MsGsBXnPPl0qQsLc65ijH2MXJmK5kB+Itzfo0xNiq3fTGA3QC6ArgNIB3AUKnylSNdriFjzA3AeQD2ADSMsQkA/ExtuII2On4PzgRQDsDC3DpDxTlvKFXOcqPjNXwXOR+2lAAyAPR9ZSKBSdPx+ukNbQtFCCGEECJD9LiTEEIIIUSGqEgjhBBCCJEhKtIIIYQQQmSIijRCCCGEEBmiIo0QQgghRIaoSCOEkFyMsdAinGPOGItjjM1+LX6PMebyynEbxtjOksiTEGIaqEgjhJBcnPNmRTitI4AbAPq8WCCUEEJKAhVphBCjxxhrxBgLY4xZM8bsGGPXGGN1tPRLzf1vG8bYUcbYv4yxSMbY6jcUYP0BzEHOoslNSu//ghBiamjHAUKI0eOcn2OMbQfwHQAbAKs451cLOC0AQG3k7Nt3Cjm7fJx8tQNjzAZAOwAjATgip2A7XbLZE0JMFd1JI4SYim8AdEDO5sg/69D/P855NOdcA+AyAA8tfd4GcIRzng5gE4BejDGz3DZt27nQFi+EEJ1RkUYIMRXOAMoAKAvAWof+Wa98rYb2Jw/9AbRnjN0DcAE5e0oG57bFA3B67e+PK1zKhBBTRkUaIcRULAEwA8BqAD8V98UYY/YAWgCoxjn34Jx7ABiLnMINAI4CGJTb1wzAQABHivv3EkJMBxVphBCjxxgbDEDFOV8D4EcAjRhjbYv5su8AOMw5f/WO2zYA3RljVgC+BeDNGLsC4BKA2wBWFfPvJISYEMY5DZEghBBCCJEbupNGCCGEECJDVKQRQsj/261jAQAAAIBB/tbT2FEUAQxJGgDAkKQBAAxJGgDAkKQBAAxJGgDAUBQC7oxl1mQRAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let's plot!\n", "fig, ax = plt.subplots(1, 1, figsize = (10, 10))\n", "fig.suptitle('Coordinates Plot')\n", "\n", "ax.set_xlabel('x in AU')\n", "ax.set_ylabel('y in AU')\n", "\n", "# recall:\n", "# r[NUMBER OF PARTICLES, NUMBER COORDINATES (X,Y,Z), NUMBER OF TIMESTEPS]\n", "for i in range(r.shape[0]):\n", " ax.plot(r[i,0,:], r[i,1,:], lw=3)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have what we want to plot, let's use a library to import and make animations:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# initalize our figure\n", "fig, ax = plt.subplots(1,1, figsize=(10, 10))\n", "# empty fig shows up" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from animations_library import plot_animations" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "init, animate, nFrames = plot_animations(fig, ax, t, r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make animation:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", " frames=nFrames, interval=20, blit=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aside: \n", "You *may* be able to get in-line plots with some following: https://stackoverflow.com/questions/20624408/matplotlib-animating-multiple-lines-and-text" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# if you get \"TypeError: a bytes-like object is required, not 'str'\"\n", "#!conda update matplotlib --yes" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "#%matplotlib notebook" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# call the animator. blit=True means only re-draw the parts that have changed.\n", "#anim = animation.FuncAnimation(fig, animate, init_func=init,\n", "# frames=nFrames, interval=20, blit=True)\n", "#plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# call our new function to display the animation\n", "#display_animation(anim)\n", "#anim" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "#display_animation?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### End aside" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's save an mp4 of our animation and then upload it an display inline." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "anim.save?" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "#Can try saving to a gif:\n", "#anim.save('myAnimation.gif', writer='imagemagick')\n", "#anim.save('myAnimation.gif')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to tell Python how to translate from `matplotlib` animation to a movie file. We can do this by specifying a \"writer\":" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# note: if you get a \"ffmpeg not found\" error try:\n", "\n", "# I think its this one \n", "# you might have to restart kernel after this\n", "#!conda install -c conda-forge ffmpeg --yes \n", "\n", "# you can also install imagemagick or use it as a writer!" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# Set up formatting for the movie files\n", "Writer = animation.writers['ffmpeg']\n", "writer = Writer(fps=15, metadata=dict(artist='Me'), bitrate=1800)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# save!\n", "anim.save('anim.mp4', writer=writer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Than we can import and show as a Video in-line:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "from IPython.display import Video" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Video(\"anim.mp4\")\n", "Video(\"anim.mp4\",width=800)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, the above is pretty neat (looks cool with the short number of frames we have here). The reason it looks so choppy is because we are only using one out of every 50 time steps. You can see that already we are mis-leading our viewer, but we might want to start this way because higher resolution animations will take longer to run. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optional Exercise\n", "Repeat making movies using this method for your own system. \n", "\n", "**Optional**: modifyin the plotting library code\n", "\n", "Try different x/y/z combinations or make a 1x4 plot like we did with still images. Think about any symbols you want to add - arrows? How would you add a dot to show where the planet is? (Hint: google \"matplotlib marker styles\")\n", "\n", "Hint: start with one change - how would you change the colors of the plots? If you wanted to figure out how to plot different symbols, how would you do that?\n", "\n", "**Note**: for this you will have to modify the library code and then re-import your the library by doing *Kernel -> Restart+Run all* \n", "\n", "You can also just copy-paste the code in your notebook and go from there." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D movies (with `ipyvolume`)\n", "\n", "Let's extend this to 3D! We'll use the current sim to do this.\n", "\n", "### Simple orbit plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's read in `ipyvolume`:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "import ipyvolume" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a quick scatter plot with random data to see what this does:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4f306660151c4ecfaf9b53207dee2143", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, z = np.random.random((3, 10000)) # 3 dimensions, 10k points total\n", "ipyvolume.quickscatter(x, y, z, size=1, marker=\"sphere\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Easy peasy! Let's read in our simulation data and plot this! \n", "\n", "There are some formatting issues that we have to take care of and we'll use `.ravel` to do this to take this:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-8.69460729e-02, -8.69427997e-02, -8.69329803e-02, ...,\n", " -3.31854767e-02, -3.39073377e-02, -3.46261789e-02],\n", " [ 1.04174259e-01, 1.04171983e-01, 1.04165156e-01, ...,\n", " 1.03227668e-01, 1.03309561e-01, 1.03386910e-01],\n", " [ 1.54336367e-01, 1.54335330e-01, 1.54332219e-01, ...,\n", " 5.29853632e-02, 5.24517034e-02, 5.19173289e-02],\n", " ...,\n", " [ 2.46698370e-01, 2.46697964e-01, 2.46696746e-01, ...,\n", " -1.43108951e-01, -1.42747687e-01, -1.42385888e-01],\n", " [ 3.96057908e-01, 3.96057750e-01, 3.96057277e-01, ...,\n", " 2.54543441e-01, 2.54834593e-01, 2.55125468e-01],\n", " [-4.10728807e-05, -4.10728251e-05, -4.10726584e-05, ...,\n", " -2.30013480e-05, -2.30219366e-05, -2.30424531e-05]])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r_h[:,0,:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "to this:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-8.69460729e-02, -8.69427997e-02, -8.69329803e-02, ...,\n", " -2.30013480e-05, -2.30219366e-05, -2.30424531e-05])" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r_h[:,0,:].ravel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This formatting will help all the points to be the same color. (Its totally fine if you're at like 30% with this formatting stuff at this point)." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "x = r_h[:,0,:].ravel()\n", "y = r_h[:,1,:].ravel()\n", "z = r_h[:,2,:].ravel()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "03673cb10d024532a31edbc26959d6c1", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipyvolume.quickscatter(x, y, z, \n", " size=1, marker=\"sphere\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are seeing *all* of the points of the sim all at once which is why we get like lines in 3D space." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make things a little more complicated and allow us to take a look at each orbit with a different color:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(7, 3, 8800)\n" ] } ], "source": [ "print(r_h.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tells us we have 7 planets so we'll need 7 colors." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f6172c7a1f674598baf54b152e2d0cdb", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipyvolume.figure()\n", "colors = ['red', 'blue', 'green', 'orange', 'yellow', 'brown', 'magenta'] # color of each particle\n", "for i in range(r_h.shape[0]): # loop over particles\n", " ipyvolume.scatter(r_h[i,0,:],\n", " r_h[i,1,:],\n", " r_h[i,2,:], \n", " color=colors[i], \n", " marker='sphere')\n", "ipyvolume.show()\n", "# now all of the orbits are different colors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, this is pretty cool - we can now see how the orbits \"precess\" during their evolution and we can check out these shapes in 3D.\n", "\n", "Note we can also plot more abstract spaces in 3D - like velocity space:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[ 0.00000000e+00, 1.20927258e-02, 2.41847815e-02, ...,\n", " -1.33620429e+00, -1.33067876e+00, -1.32504752e+00],\n", " [-1.33060676e+00, -1.33055665e+00, -1.33040631e+00, ...,\n", " -4.61760957e-01, -4.74119651e-01, -4.86407636e-01],\n", " [ 0.00000000e+00, 6.94019789e-10, 1.38817720e-09, ...,\n", " -3.34160913e-05, -3.47256746e-05, -3.60291908e-05]],\n", "\n", " [[-0.00000000e+00, -8.40720509e-03, -1.68140996e-02, ...,\n", " 1.55471131e-01, 1.47080032e-01, 1.38683611e-01],\n", " [ 1.23905370e+00, 1.23902663e+00, 1.23894544e+00, ...,\n", " 1.23195679e+00, 1.23292550e+00, 1.23383987e+00],\n", " [ 0.00000000e+00, -6.01580063e-05, -1.20313791e-04, ...,\n", " 1.04642347e-03, 9.86265837e-04, 9.26073046e-04]],\n", "\n", " [[-0.00000000e+00, -3.83059547e-03, -7.66114071e-03, ...,\n", " -9.85134012e-01, -9.86460991e-01, -9.87774677e-01],\n", " [ 1.04102183e+00, 1.04101484e+00, 1.04099385e+00, ...,\n", " 3.51039339e-01, 3.47407334e-01, 3.43770203e-01],\n", " [ 0.00000000e+00, -2.19571011e-05, -4.39139221e-05, ...,\n", " -5.66372270e-03, -5.67145430e-03, -5.67910949e-03]],\n", "\n", " ...,\n", "\n", " [[-0.00000000e+00, -1.50070033e-03, -3.00139610e-03, ...,\n", " 6.66849485e-01, 6.67836709e-01, 6.68821314e-01],\n", " [ 8.15968396e-01, 8.15967054e-01, 8.15963027e-01, ...,\n", " -5.29746945e-01, -5.28445611e-01, -5.27142463e-01],\n", " [ 0.00000000e+00, -1.38618827e-05, -2.77237242e-05, ...,\n", " 6.16388464e-03, 6.17302586e-03, 6.18214286e-03]],\n", "\n", " [[-0.00000000e+00, -5.82232806e-04, -1.16446553e-03, ...,\n", " 5.38084062e-01, 5.37571750e-01, 5.37059201e-01],\n", " [ 5.54596013e-01, 5.54595792e-01, 5.54595131e-01, ...,\n", " 3.34693883e-01, 3.35196335e-01, 3.35698082e-01],\n", " [ 0.00000000e+00, -1.31978716e-06, -2.63957417e-06, ...,\n", " 1.22169104e-03, 1.22053048e-03, 1.21936938e-03]],\n", "\n", " [[ 0.00000000e+00, 2.05363288e-07, 4.10726222e-07, ...,\n", " -3.80990073e-05, -3.79654382e-05, -3.78325695e-05],\n", " [-9.77962490e-05, -9.77960423e-05, -9.77954220e-05, ...,\n", " -4.88741167e-05, -4.88301073e-05, -4.87857932e-05],\n", " [ 0.00000000e+00, 2.40056461e-09, 4.80109507e-09, ...,\n", " -4.20144677e-07, -4.18857152e-07, -4.17568049e-07]]])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v_h # velocity in km/s" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "eb24024baec9475d82f17ce2eb730977", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipyvolume.figure()\n", "colors = ['red', 'blue', 'green', 'orange', 'yellow', 'brown', 'magenta'] # color of each particle\n", "for i in range(v_h.shape[0]): # loop over number of particles\n", " ipyvolume.scatter(v_h[i,0,:],\n", " v_h[i,1,:],\n", " v_h[i,2,:], \n", " color=colors[i],\n", " marker='sphere')\n", "ipyvolume.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So this is a little less intiative, but this is how the velocities of our particles change during their orbits.\n", "\n", "Ok, we can also show velocity by little vectors:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bf046341d71a4cb8a34500c2bf68a8b2", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipyvolume.figure()\n", "colors = ['red', 'blue', 'green', 'orange', 'yellow', 'brown', 'magenta'] # color of each particle\n", "for i in range(v_h.shape[0]): # loop over particles \n", " ipyvolume.quiver(r_h[i,0,:], # plot x,y,z positions\n", " r_h[i,1,:],\n", " r_h[i,2,:],\n", " v_h[i,0,:], # also include vx/vy/vz vectors of velocities\n", " v_h[i,1,:],\n", " v_h[i,2,:], \n", " color=colors[i])\n", "ipyvolume.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So clearly the above is pointless - while it looks cool the arrows are too big and there are too many of them! We can change this by taking \"X\" number of points. This is like the subsampling we did before to keep our framerates of our animations small:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8312fd9297af41a6aac4b1ce0b0559fb", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "step = 1000 # plot ever \"step\"th velocity vector\n", "# also, length of arrays in time-axis\n", "N = v_h.shape[2]\n", "\n", "ipyvolume.figure()\n", "colors = ['red', 'blue', 'green', 'orange', 'yellow', 'brown', 'magenta'] # color of each particle\n", "for i in range(v_h.shape[0]): # loop every particle\n", " ipyvolume.quiver(r_h[i,0,0:N:step], # plot subsampled x/y/z\n", " r_h[i,1,0:N:step],\n", " r_h[i,2,0:N:step],\n", " v_h[i,0,0:N:step], # with subsampled vectors vx/vy/vz\n", " v_h[i,1,0:N:step],\n", " v_h[i,2,0:N:step], \n", " color=colors[i], \n", " size=2) # also, if things look too crowded, we can also make the arrows themselves smaller\n", "ipyvolume.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see a bit more about the motion - that their directions are opposite of eachother for example. And that the central mass only moves slightly and around its center as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3D animations\n", "\n", "Let's now figure out how to make an animation in 3D, and then save it for ourselves! To do this, we'll need to format our data specifically as [time, position]. This is yet another example of where a lot of data-viz is data-formatting!\n", "\n", "Onto formatting our data as [time, position], we'll do this with a `.T` function that \"flips\" our data shape. `.T` stands for \"transposing\":" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(7, 8800) (8800, 7)\n" ] } ], "source": [ "# for example, for particle 0:\n", "print(r_h[:,0,:].shape, r_h[:,0,:].T.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Down sample our velocity data for easier plotting:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(7, 3, 8800) (7, 3, 880) (880, 7)\n" ] } ], "source": [ "step = 10 # only do every 10 steps\n", "# also, length of arrays in time\n", "N = v_h.shape[2]\n", "\n", "# subsample to make more managable\n", "r = r_h[:,:,0:N:step]\n", "v = v_h[:,:,0:N:step]\n", "\n", "print(r_h.shape, r.shape, r[:,2,:].T.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's pick some colors. Again, we have 7 objects so we need 7 colors. We'll use RGB triplets for animations between 0-1:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "color = [(1,0,0), (0,0,1), (0,1,0), (0,1,1), (1,1,0), (1,0,1), (0.5, 0.5, 0.5)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to format the colors into a shape that gives a color at each timestep. We'll do this with a little `flip_colors` function:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(880, 7, 3) (7, 3, 880)\n" ] } ], "source": [ "# import little function to do colors for us\n", "from flip_colors import flip_colors\n", "\n", "colors = flip_colors(color,r)\n", "\n", "print(colors.shape, r.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Putting all of these ideas together, let's finally plot!" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5d93a4b1e9af4e2f929cd74e1578608b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(animation=200.0, camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipyvolume.figure()\n", "\n", "s = ipyvolume.scatter(r[:,0,:].T, r[:,1,:].T, r[:,2,:].T, \n", " marker='sphere', \n", " color=colors)\n", "\n", "ani = ipyvolume.animation_control(s, interval=200)\n", "\n", "ipyvolume.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we can only use the ```animation_control``` function on scatter plots or quiver plots, so we can't add lines or anything here. Perhaps in a future release of ```ipyvolume```!\n", "\n", "#### Optional Exercise\n", "Try this with your own datasets!\n", "\n", "Bonus: also try with animations of quiver plots\n", "\n", "Bonus: is there anything else you want to animate? Should the size of the points change for example? (See ipyvolume docs for examples)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ipyvolume + ipywidgets\n", "\n", "Now let's combine the powers of widgets and ipyvolume to explore our datasets in 3D." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's only plot a few points on a scatter plot:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "step = 100 # only do every 100th timestep\n", "# also, length of arrays\n", "N = v_h.shape[2] # full time\n", "\n", "# decimate again\n", "r = r_h[:,:,0:N:step]\n", "v = v_h[:,:,0:N:step]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's format for our scatter plot again:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "x = r[:,0,:].ravel()\n", "y = r[:,1,:].ravel()\n", "z = r[:,2,:].ravel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reconstruct our scatter plot with every 100th point:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "aab72d2da8b94ab8911e336eed39c655", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Figure(camera=PerspectiveCamera(fov=46.0, position=(0.0, 0.0, 2.0), quaternion=(0.0, 0.0, 0.0, …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipyvolume.figure()\n", "\n", "s = ipyvolume.scatter(x, y, z, \n", " marker='sphere')\n", "\n", "ipyvolume.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's create this plot but we won't show it:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "ipyvolume.figure()\n", "\n", "s = ipyvolume.scatter(x, y, z, \n", " marker='sphere')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can link widgets to ths to control the size & color of our points. Let's use a `FloatSlider` widget and a `ColorPicker` widget:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "size = ipywidgets.FloatSlider(min=0, max=30, step=0.1)\n", "color = ipywidgets.ColorPicker()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "434c90a13ee644589f813d5ded0791bc", "version_major": 2, "version_minor": 0 }, "text/plain": [ "FloatSlider(value=0.0, max=30.0)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "size" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6d2c033eb7394ba79c1abccdb5992c12", "version_major": 2, "version_minor": 0 }, "text/plain": [ "ColorPicker(value='black')" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "color" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size.value" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'#a41e1e'" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "color.value" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll use a widget function we haven't used before called `jslink`. With this we can link attributes of our scatter plot like the scatter *size* and *color* with the *value*s of each of our widgets:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(2)" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.size" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array('red', dtype='