{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TgXR4F0YN01u" }, "source": [ "# 1. Brief Tour of E-Cell4 Simulations\n", "\n", "First of all, you have to load the E-Cell4 library:\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": {}, "colab_type": "code", "id": "jSYCNN2HN01w" }, "outputs": [], "source": [ "from ecell4.prelude import *" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "d2fFld6IN01z" }, "source": [ "## 1.1. Quick Demo\n", "\n", "There are three fundamental components consisting of E-Cell System version 4, which are `Model`, `World`, and `Simulator`. These components describe concepts in simulation.\n", "\n", "* `Model` describes a problem to simulate as its name suggests. \n", "* `World` describes a state, e.g. an initial state and a state at a time-point. \n", "* `Simulator` describes a solver.\n", "\n", "`Model` is independent from solvers. Every solver can share a single `Model` instance. Each solver alogrithm has a corresponding pair of `World` and `Simulator` (these pairs are capsulized into `Factory` class). `World` is not necessarily needed to be bound to `Model` and `Simulator`, but `Simulator` needs both `Model` and `World`.\n", "\n", "Before running a simulation, you have to make a `Model`. E-Cell4 supports multiple ways to buld a `Model` (See [2. How to Build a Model](tutorial02.html)). Here, we explain the simplest way using the `with` statement with `reaction_rules`:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 69 }, "colab_type": "code", "id": "Elmp82rkN010", "outputId": "8b834401-1539-4edb-b399-8ec30b15ce1e" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "A + B > C | 0.01\n", "C > A + B | 0.3\n" ] } ], "source": [ "with reaction_rules():\n", " A + B > C | 0.01 # equivalent to create_binding_reaction_rule\n", " C > A + B | 0.3 # equivalent to create_unbinding_reaction_rule\n", "\n", "m1 = get_model()\n", "show(m1)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KQSnXmYZN013" }, "source": [ "Please remember to write parentheses `()` after `reaction_rules`. Here, a `Model` with two `ReactionRule`s named `m1` was built. Lines in the `with` block describe `ReactionRule`s, a binding and unbinding reaction respectively. A kinetic rate for the mass action reaction is defined after a separator `|`, i.e. `0.01` or `0.3`. In the form of ordinary differential equations, this model can be described as:\n", "\n", "$$[\\mathrm{A}]'=[\\mathrm{B}]'=-[\\mathrm{C}]=-0.01[\\mathrm{A}][\\mathrm{B}]+0.3[\\mathrm{C}]$$" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "EnEvzPFJN014" }, "source": [ "For more compact description, `A + B == C | (0.01, 0.3)` is also acceptable.\n", "\n", "E-Cell4 has a simple interface for running simulation on a given model, called `run_simulation`. This enables for you to run simulations without instanciate `World` and `Simulator` by yourself. To solve this model, you have to give a volume, an initial value for each `Species` and duration of time:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 279 }, "colab_type": "code", "id": "8oDCX3vyN014", "outputId": "54969df8-4c35-4429-9e12-443ea8ca514e" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "run_simulation(10.0, model=m1, y0={'A': 60, 'B': 60}, volume=1.0)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "QOtcp5B7N017" }, "source": [ "To switch simulation algorithm, you only need to give the type of solver (`ode` is used as a default) as follows:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 279 }, "colab_type": "code", "id": "xh-DrwFQN017", "outputId": "2f11bee3-4bc3-43e2-a4ae-1d9766fed1c2" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "run_simulation(10.0, model=m1, y0={'A': 60, 'B': 60}, solver='gillespie')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "NI_PIEFIN01-" }, "source": [ "## 1.2. Spatial Simulation and Visualization\n", "\n", "E-Cell4 now supports multiple spatial simulation algorithms, `egfrd`, `spatiocyte` and `meso`. In addition to the model used in non-spatial solvers (`ode` and `gillespie`), these spatial solvers need extra information about each `Species`, i.e. a diffusion coefficient and radius.\n", "\n", "The `with` statement with `species_attributes` is available to describe these properties:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": {}, "colab_type": "code", "id": "sLDOEiNWN01-" }, "outputs": [], "source": [ "with species_attributes():\n", " A | B | C | {'radius': 0.005, 'D': 1} # 'D' is for the diffusion coefficient\n", "\n", "with reaction_rules():\n", " A + B == C | (0.01, 0.3)\n", "\n", "m2 = get_model()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "phA4fwynN02B" }, "source": [ "Species attributes could be a string, boolean, integer or floating number.\n", "\n", "Now you can run a spatial simulation in the same way as above (in the case of `egfrd`, the time it takes to finish the simulation will be longer):" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 279 }, "colab_type": "code", "id": "Tbb908VaN02C", "outputId": "e41b11d5-c7f5-43e1-c17e-61473c59e655" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "run_simulation(10.0, model=m2, y0={'A': 60, 'B': 60}, solver='meso')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "RhGb_y7NN02E" }, "source": [ "Structure (e.g. membrane, cytoplasm and nucleus) is only supported by `spatiocyte` and `meso` for now. For the simulation, `location` and `dimension` that each species belongs to must be specified in its attribute." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": {}, "colab_type": "code", "id": "MZ34b4SQN02F" }, "outputs": [], "source": [ "with species_attributes():\n", " A | {'D': 1, 'location': 'S', 'dimension': 3} # 'S' is a name of the structure\n", " S | {'dimension': 3}\n", "\n", "m3 = get_model() # with no reactions" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "2YPeHSKHN02H" }, "source": [ "E-Cell4 supports primitive shapes as a structure like `Sphere`:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "colab": {}, "colab_type": "code", "id": "QHMjqfBAN02I" }, "outputs": [], "source": [ "sphere = Sphere(Real3(0.5, 0.5, 0.5), 0.48) # a center position and radius" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "eerJD3V_N02K" }, "source": [ "E-Cell4 provides various kinds of `Observer`s which log the state during a simulation. In the following two observers are declared to record the position of the molecule. `FixedIntervalTrajectoryObserver` logs a trajectory of a molecule, and `FixedIntervalHDF5Observer` saves `World` to a HDF5 file at the given time interval:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "colab": {}, "colab_type": "code", "id": "-fbPBEGcN02K" }, "outputs": [], "source": [ "obs1 = FixedIntervalTrajectoryObserver(1e-3)\n", "obs2 = FixedIntervalHDF5Observer(0.1, 'test%02d.h5')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "WtzT8zhON02M" }, "source": [ "`run_simulation` can accept structures and observers as arguments `structure` and `observers` (see also `help(run_simulation)`):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": {}, "colab_type": "code", "id": "YAUHvUi-N02M" }, "outputs": [], "source": [ "_ = run_simulation(1.0, model=m3, y0={'A': 60}, structures={'S': sphere}, solver='spatiocyte', observers=(obs1, obs2))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "VslCJxQXN02O" }, "source": [ "E-Cell4 has a function to visualize the world which is also capable of interactive visualization named `plotting.plot_world`. `plotting.plot_world` plots positions of molecules in 3D. In addition, by using `load_world`, you can easily restore the state of `World` from a HDF5 file:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "colab_type": "code", "id": "PDMlPqEmN02O", "outputId": "83646e08-38ab-4692-a07b-7960d005979e" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.plot_world(load_world('test00.h5'), species_list=['A'])" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TG7McV3XN02R" }, "source": [ "Also, for `FixedIntervalTrajectoryObserver`,` viz.plot_trajectory` generates a plot of the trajectory. (Again, it is possible to generate interactive plots.):" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "colab_type": "code", "id": "Pf1ZIa2GN02S", "outputId": "5539d5d9-d210-4a72-aa1f-2aaa00c58471", "scrolled": true }, "outputs": [ { "data": { "image/png": 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g2bJlJ8zQmo4SyHTQ5Q7zgT/s42vry1iUn6ilfv26MvLkQSwZ+QyHFGZlNbCkSAJiR368QB8Asi+KZMwlHs8kFkun1xPh2ZohwrHEZ3cYtTy4Ihd3WCLNdPYWg8eLzYWwsZwJQ8Yu9bryj3/8YyoqKvB6vUmJp4ruWXD8irwXKrOYTGYaDAY5ePAgWVlZzJkz55QlkJmYpciKgnikvXFZ4c5f7yEYlfjem/tZM0cgxQp/2dPLpxZoEGMy/7u1C3dI4j/ep6e6SIdJH0avPTpyRLTpGfF52N+hYWtr8IT9ecJxWkZDNLlj2PUi89JNpJvP7tY41bVwvmwsZ0J54VIW3e7ubjZu3MjXv/51fvjDHyYlpiq6p2EqNozTwdlmpn19fbS1tVFZWYnD4TjldjNRdH+9tZOfbW7n6kqRyhwzz+yOA2HuWj3M6nkuNCKsq4IBt54t3Rbqd/YSUjQU50Q42JfH4UEHlXlm1pUN4Q1pqOmxsL/LypBvYpZvT5Hxuo6ezx5PGNAQjits7w2QZdZSkW7EqtcQlWS6vDGKHYkYggDikWM3GS/h6bCxnAnlhfMhuu5vfItoXW1SY+rnVeL812+ddpvPfe5zfO9730tqh7MquqfgbDrLzjdnWq4nHo9TX19PPB4/q6m851t0D/f7+c/XWvjh7RWkWiaKoOz30713Mzd/7p+5KxhGEUBQ4FZBxFVQiOltP92OLGq0eaRaoijrilmz2M8V813HREmUE3KMS/jD1izahycKl80Y5/rKUUqz4niiEgc7HWxrsiErAoe6vZTmpbAiz8JQME7DSJiBTj/FDj3uUJy2kRBbJQlXIEZpuokbKxPDys71upisjaXRaDxpHLW8MH288MILZGZmUl1dzVtvvZW0uKroHseZVuQ9l3jJNP0+Vabr8/k4dOgQhYWF5OXlndU+z7foNg0F2NPl4W8v7eUD0Tak1haiLfXIrW1oBlwcm5MLCiiCwOYH/5GWFVfxwD/eRXlTLeUcyXbeSPzjMVvRzLYTLnASKUwhWJjOE44bJuw31xlh3Rw3ZZkhxg5LphZWlrkoSAvwxLYcJFmgbyRAKMtEkV1Hy3CQHneYtj4vsfjEYz4rLSHmyXZ8O52NZTQaxWazjYvwmI3le6W8cKaMdDrYsmULzz33HC+++CLhcBiv18sDDzzAY489NqW4qugew1RNxo9nrByQrKVHTpbpKopCV1cXPT09LFy4cHx5kXONN51oxcTxLP7FDwl31yCZ9YSLUhBtWkwDE7fdt2gR/Z/+AL3xSjQeF/qg/6QxHUE//l4N6QcSIxo2f+DzsCrxml4bZ45owhnWk6F3c/zptGgV5mREuHnRMM8fSMcXjPHn3X3jrwsCmA1anFYDBp1Iz3AAk0HL7Awz4ZiMNwp50yR4x9tYyrKMz+fD5XJRV1c3bmMZjUaJxWIXdHmbSzXT/c53vsN3vvMdAN566y2+//3vT1lwQRXdcaajsyzZont8phuLxaitrUWn07F8+fJJ7+fcDXTinOzSicoSw9EwQ5EQw9EQQ9EQqToj12YUIAjCuOjuyShjWXcN/X/+EuGGAxR/65UJcQ4WlTPwjQ/SOzgPAEtrPQIwYrTzbPnlVPc3sGiweXx765AHgJjBSNOq9QAY0sPobHGEEQEhZmbf7kI0ml7mlPVj0IHBrMXkMKAoCiU1tQjK5SjCUeHQagSWlaQyEpZQFAW3J4QoKDy0spPXW03o43BwxIg9LcZc2zkcwkkiiiIOhwOHw0FxcfG4UdHQ0BB1dXUX1MbyUhXd6eI9L7qKouDz+fD7/aSmpib14pnO5XXcbje1tbWUlpaes5PZuZUXFAyGN5FlC7HYKgLxGE0+F03eUQajofGtrBodFq2OjpCPzpCfIrMNrSYhuocXrYZ9z5D70KPg8SAbjwpEYG4mw//+QXoG56GTQ8REE6s3P0vDnSv505LraT6s452CRXx83zOs6K2beHyOeehkDtSj1UEop4R0RSbeZUWScjlUn0mzqYvZRRrW2UMImzuw7m7jfXkQjYrUOkoZMTjw60wcqu8hK8VESDAw5ItyVbkPq05GlgQ6PGEUBF5v9JBuMZLuNE/+BEwBURTHywxLliyZdhvL0/FeEN1169axbt26pMR6T4vuWGeZz+djaGhowsSBZDAdrmCyLNPa2srQ0BCLFy/GbD73m/3cRDchnILsZfQvP6ddb2Hb/AWk6gwsNjnIsjlI15swabTIisJTvc3scg9QYLKiPXJj3nzVfPg9CG4PrivLMHS5MTcP0+vI4M3PfJbI4GIyhhqxtffSPX8pni/OI1yRwd0D7ZT/6EmCGXb+7aOfJPyHp7mi/ajfqSYYILvxEP3lCxjxFXD7fR9Ho1HQhkI43v0hu+sX4pNFbP5CNF4XuzYHkGrNhKouZ4tQNuFTZgZHGDSn4fcqQGKxxLoWJ3UtThT8RGQFjSKji4d5ek8v1Sl2zFqR9EwTGVlmYpJC9ffeBeD1z6wgyza9SwldSBvL94LoJpP35JEaGwoWiURQFAWtVjstkwSSLbrRaJRQKEQsFmPZsmVTElyYnOhGJYl67wjP97TwYrsF+ak6Mtq6WNZQzwdjIjc+9waz111P9ttbMWkSN7QoCCx1ZuKKRWjwuwnEZJwhLyu/e3TJk4DFibl5mGiqmcP//RBRYSGO3k4y9x+ktXotnbEo4YoMNN4wpV94Bv2gn0hVDvevH8T+h9WM3FAxoZ2erDxSu1oI2Zxs/vSX0PoCEJdh42ZWr26gIRqlORbn7VYbr3hKeD1/+QmCCzBoPvEB3C/JuJAYkmRCioJOjvP+ltcJi1oOBqPIQGe7j+YmNxt+thOAIiFIy1//hnSePS7GbCzLyspYunQpVVVVOJ1ORkdH2b9/P3v27Bn34ZiqG54qupPjPZfpnqyzbDpsGCG5ojsyMkJ9fT16vZ45c+YkJeaZRDcmy3QEPDT5XHQEvUiKglWjZfHuvSitw4jrS4nu68e28SlGfvc3MBgIfvWfsOTloV2QWLyvcHCU9FCY3bFucv78Kr/d+DSGeIi2T1/DrEdfJ/+F3fh1Rn512yfI9F2GotMQNpipvfZOWoYD7O7wsrxMYOU3n8PUnhgeNrymDFkWiclGOr92DXGjhqy/1xC22Ak5Ulnw2lPETBb23Xg/HQsvo+jgdkZKnBSb4bb6x3im9G7CuqOZZ0ZolA2dW8kODSMg8KuK23Hprazv3s4rBSvJccYIRcEd1GFPieBHJDSsJ6zRkxMaYUO5g+cbvbQIMtkWEc9ohI/OyaLh0F6+LtRh9UgM/7aLFLMepbSc2BXrQXN+b73J2Fja7fZJ9Q+oojs53jOiOzYULB6PnxcbxmTFlWWZ5uZmPB4P1dXV7N27N0mtO/noBUmR6Qz4aPK7aPN7iCsyZo2WSkc6Wfoo5s1PUdTqRriiGHFlIYbSVOI/24H12svwPv82AP5PfIzg735NTdDG3E99mPl5abz1vW9hlwfIDLoBcO5rGd/nqMnBHHsW/fpE5h5zpPB20zCtwwEERcH0yJuYuweIW/X4NSY+v+sqrvJnkWE1kCJ0oZQPkUkNrtwiAFJ6O8hpPEjHwsvYct9nKA51UrCuCoCy+xey4U+b+Nvco8PKHux/EU9ODppW2JNTxagh0TP2SsFKAB5e3UtMEnm70c6OVgeiZuIxOzxcR25GIS1DIf7a6cIcifFdcwsPifXUiSn0z6nmqsOvgy8I+3ciDPYRvelusJ6HHrhTcDoby+bmZrRa7QQRPp2oqqI7Od4TonummWUzNdMNhUIcPHiQ9PR0li5dmvTxmKIYxWCI0zDgQ9LF6I/5afW7icgSBlFDudFK/sZXyewfxGMLodWEKAhZYGke/qpyND0V6P2vIl5ejPldkdjcEryD/YhBP8LnP8aCQBzzsBuG+8netY9D993FqN9PRbCTSGNgvB1Z8QCvlS8Y//3jDc/whq+SLEcaac2HWdN9kG3r72bFW09Ts+EK7qzKwCArlL/5LK1Lr2Bf8YN0f2k59qHEcK/UnjYEUWTuuy+x9d5PY/zJx8EfgVQdQqeH/Jh7wnH4/qwH+Mr+/yNgSyeSa4HjLoWNO21UlCmsm+vFhZPWbgX5yDY95gyE7jhdpjgCAnYpzD8HtpDv99GeV8VA7lJSMnVw+PXxeJreLox/+iXRm9+PnFuQ1HN6rpzMxtLtdo/bWOp0uvExwsfbWKqiOzkuedE9mxV5pyvT1Wg05xx3YGCA5uZm5s2bN+5ilUwEwYXFspvqaujx72IoquPwkIUyWwpzHKkUmO0EvvglIs8+R8isJzU/F8fapTA3DaXEgn/1Z1HcQbSzs8nc+FXih/qwrVxE9OlBpGAMc/MwAOLSaqzLZuGsCtOvM+P/ys3UCV288e8+vjb4WwZmL2Dzg19EkOLEEdFoRPamz+G16A7KPVeydqgVgGWvPUV3ZTUtV30Iixzhuu9/nfTuFpb9/Xe8de099Fy+nqGSRH034Eil+UdP4ZdliMUJ5eYT+aefkPOzj4JFj85p4f62Tfxp1lXjx+M/qz7Ip1e1kScZYQdkp8Lqji10RlPYo8yldlBmQa7CqClIySwTgy0h3HETv5+TWB22d9iPtaeFn8sHEPR63ln8PmoM2WiGglzfl/h28nheHrcP92GIyAgBP/q//o7YVRuQFi5N+vmdKgaDgaysLLKysoCENajb7T6pjaUkSZfkSsvTxSUrupPxTZjOTHeycSVJoqGhgXA4fFJnsGQgCAH0+t0AyArk2yTykXh7f5inD0e5okzm9q5tRP7+DAMPX4ZlUSV5tT6kWanIN8znK1+v51MBGQsQaR7A/d/bsNsNKFotjitXMPrcJlAUzMsWYl9cSjwusuj2nxL8XIzuyy9j8Xd/xWVbm9j60KdoWHoD9qFewq9sJDPDRsmsXLZlLcQWDfKJnhYyh1oZMjkYuGwdO+/8KKndrVzzi/+HNzOP7Xd8FF96NiFHKjohMXoY4LmvPYrW76fsSEfj/h3ZLLnqTmL/vR0xEEEx2UlNUViodHNQyB8/Lo9unUVZQaLDq38UDDfM4nIxSO6f36bOXsrevkL0sTBtXhepRi0cWVLuvuaXmeVLZNlNhnT+7nfgrxtkyVWz+OOuvTwcOcBQWinZcxex07SVJa8OoY/IxHRGzK+/QHygj9iVN8AMXhjTaDRO8BI+1sZydHQUg8FAPB7H6XRitVov+Cy5ZFFcXIzNZkOj0aDVatm9e/eUY87cszwFJjuzbKbUdP1+P4cOHSI3N5eKioppunCj6PVbAYhIBgyaCO3edOyiwOeuHuIP+2MMazzUPP042ZW5DJbdQj2zUeYLKEYd8lYDuVcX8rdVlxPT6Ijq9JiQUAQBpVBAEQS0V3+Ge97+PdlpiQdGryYTfTTG/D/8he61q2ivvoKoW0/D8htJ72hkww+/zMFv3sQXGhaytfFNAloTr+av4LboJoyRXl68/xE81SsRZAl3ROaxb/0GnV6HKMexugex9feRX7sbs2cUs2cEMd3Glms+SEAJAAbKmt4g09OFy5HHwIL5DFmLmV/Vy43aIQ6+O/HoNHcdrbN2D5rpMJjQzK6kXHBjr9/NnsKl2NKMxIC5rnbqU4oZNKYyy9fHk4bZdPvjfFnXwki4h7rwCE+HGgB4JS+d/GA6cvwaum4YJeP5N9GFo7Q5cpl1aA/C8ADRm+8G68xYBuhMHGtj2drail6f8CTu7OzE7/eP21g6nc5p8xI+X7z55pvjHZDJ4JIS3XM1GZ+uC2IyotvT00NHRwfz58+fxvW34uj1bxH/7T7wxxA/uYJgTKDYPkwsVkEwEuOBhS6ea9fQ/YG7mbdjO43mMrSyREFgAMGjIKCgBEKMyHp6i+aiE0Xix4w8zAi5KPV2k51hBjmOz5LBkJJNHmAdGKT0hVdpvuU6Zv9tI7N2v03bksvpqaim+utP875lIrHdT3HdNX0E13+Ev5deDd+8ejy2ImrQ5OUy+/AuNHW1rNm2EW0sAoDgNGO+ZSnmDy9Hl5pC6wEX/ZIVNBCblUasOpfhfi1RJQtLLEpaegBRNLG02Mvu9pMf720tdmKpPhZJMvvjZryFSzEHPKRJQUZNDupTigFocBayYqiWK+wRMiOdAKTFwgE5QHkAACAASURBVFz+SsN4rG/ttHBHVR0bMsoYHinEfusH4fnHSPMM8mbKHNYNt2L806+I3nw3cm7hWZ3NmeIQpygKJpOJtLS0E2wsx7yEk2FjealwyYjuTDAZP56zEd14PE5dXWJm1dk4g8G5mZwoQT/GlG3I27qhKzFtVnm5EdONs0lMeNDQ5ZPJj45wc18X8rYWPHorboON9f07ORCVOdytcH2ZneasEkaNCXsaS9hHSXCA8OAIV4zuIes4S8LmWatRevowFOdhnlvC/Gc30nbdldQ+dA9r//OH+NOyeOvhL3HTD77E53c9CUDw9S1ca7Lzuxs+Mx5n7tsvULx/KzmNBxHlY0o2goDxex9CuGE5KSkK0qZW5I0HWJIdYWNOYvTBFnsBr7kN1D/7Jb47dzWp918+/vbFhf5x0dVrg1w3L8jzB48Mq5JEGHJwgBg6oEyn5brrKzFoRAI/+xG/nHc7AF3WbHrM6eQNdZ702D8ezwVgdomLgH0n5t51tAzIFFx/H47XnmCZq5nf2efzoNiJ/q+/P+s670wwu4ETO9Ima2NpNBrP+Dne7GtnKBQ47TaTJcNk4cqc4tNuIwgC69evRxAEPvaxj/EP//APU97vJSG6Z9NZdiE4k+h6vV5qamooKioiLy9vUjEnNY7S60UXfBHFIyK/etSzQNzTg+IwwJpygn4T0a/+O7rF1TAcQQTabQmxeNGWwV8PKHy8zMiujGyK3T1UD9czy9dLeth9dCGck3jA6rpaKQl14Vi/GgBrfStznnqO2g++nzlPPsu1P/82z33lR7z2yW/xvke/hj0WIJyRyXPL7wDgit69rB44wPBLL3LD+m/w1SuuZ80vvzMeXwH+x3oXvAP/UPME6bEQ4vxMbF4JDYmBCG6dDT0x7qst4f8uu5O83TJFaWGKUsPkOKJk2KIYtDIPLOykzZuGCBx71lINMhWCEY0g0NjowWmL81rpNeOvp0S8WGNHp0DLFhvY7Ij9PQDsHQXRoZCX7iVVW8JQmgG9O0rXKIQvfz85W5/iXu8hdiy6mhWeVvSvv0B8oJfYlRtOW+edqaJ7PMmysbwQbNmyhdzcXAYHB7n22muZO3cua9eunVLMi1p0Z5rJ+PGIojhe6jgWRVHo6Oigr6+PRYsWYbFYzjrmuUzdDf3iBxgfWYb0q11H/6jTIMxNR97USmjrCJL7MebOWYQwnPi6Lum1HCiZh6DI9Jlt3Jfnx5uZEOEUGb7cpOctp/tku5vAfM9BALyRKHaDHsuCcpZ3tFH8zmZs160htX+A2wff4YnyW9j4xe+zoWsrr+Rfhk9n5v6mlyj29wNgWTSXx577NkOVS9h74/0gCIh2K/Hc3PF9/Wr+PUd3fMyEssioATku0LLsSjySCU8v1PWeeMwf+5kPW6URi5CJRqMga+N4w1pGIyKdWolSJMIehaf7I8iGRHa8pH4r14Sb0SnHrFQR8EHg6Ay0r2z5AwtuvZeVL3rQpmnR5Fho0KXQo0lBCYKv6n04tz7FippNxG++GzkrB93OdxGHB4mcps47EwzMx9oxmXvvbG0sj00szpSRThe5R66vzMxMbrvtNnbu3PneFd3pMBlPduZwskw3Go1SU1ODyWRixYoVk35QTLZzLnZoD/b7y5H+fADZG0Y0GyASR8izId46F9kfxdTmwmRMh2BCOLrTUvlJpBKH5EBrkZilOIgXpbOgr4FDOXOoScvnKel5wIQiywhHPoMsK4jiyY+f3ZDoVNPnZKDJSCXD7UZOtaDJL6TQYeRe7zv8wXo1j5ddB8DNP/kqxvqD1GakUVJZgnluCXm+AJuvv5uhghOn7Z7xOPh0DJTMO+023ZXLEv9RFIiDKB296bviElJgkF5LJmMekQ82biQ/NMioKZO6RbeyYNefcUiJr8Bxrx+tPWGzmX7btXyQYRgGhtugoY0qIO2Ge9nvyED2gLvqfaS3vILz+b8QvfEuIjfdhf6VZxJ13pvuRs47sc47EwzMYerjdE9lYzkwMHDmN08jgUAAWZax2WwEAgFeffVVvvGNb0w57oU/Y5PkWN+EZArudBh6Hy+Qo6Oj7Nq1i7y8PCoqKs7pQj1r0Q0FUUb60RtqEGpGYCBAdFUxRBIDq4RZKQgaERwTjVjEW+dieesNHvzLD0ERifu1xAM6DClhFgQTX5ejCLy2/FYUQEbg1QYf/b/6K67m/vE4AXMqw0+/yrNpOewqv5r/0eayNXMBf6pYw/MP3g6fW036xxYhzXUQ7OvBeLw/4tfuw/a5DWSnG/C8tYtQYzu2ZQu427sPWzSAMRrkoz/4JLO3vYo+6Ofzocf5xk2tWOtex9e0l7UmAzn9HQAYM0PoU6KIQuKhopeiLHY3cc/yAdaWuzHrTz6sT1YmXle9lszx/395//+RHxjEpU+jbtGtKKKG7tlrxl8fE9zjCZhSGMkooKl8GXt1mUR0GvqGu7F6XByecyMBvQP9839FisWJ3PsRFK0O/ZO/R3NgV+JhcAwXS3lhsozZWF5oBgYGWLNmDYsWLWL58uXceOONXH/99VOOe9FlumOjE5Jdux0bqzsd1o6KotDa2srIyAhLliw56/WvTsZpHw5uFwT9kFuAsOlFxPoDaNYUIu/rx7t4Ls5UabxWKcxKQW53oew/KpSaB6sQilNI/cVH2f2P28e2RO+MonfGMUsJt608/yCt9jy2pFRQ8bufssjjx75uOabynPFYEb2FpgUrKTDnEsospTxf5k1XMQBFA2FSy7y0/GgThv96Eld2IS8/8j6MWg/X7X2CPStu4XkWctUt+az6yFX0Vf4jnrd3Eff6GXFkEZytJaO9kXhLB10fXUZxpAv7g4lOs0c+mYc7ks6BfQp92YlpweFBIyCQ5YyzrHkLFSOt6NMNaLOXMyc7xJrZHg51W9hWY2BYOir+C/RafC17aS9YOOEwv69rC9oj5YS6BTehGR1G39vO6IJlpz13W5d/iKglSCy/C5M8nxzRiBYFy2M/QWlrx3/fx6gtuZwlba8S2L2fwZCe9NQC0lPS0L+xMTGe96qjdd6LtbxwsVBSUsKBAweSHveiE104+6Fgk2E6xuqKokgkEmH37t04nU6WLl065YvzdO08/OJrlHfXoJfj43+T32wj7nBivSEL5c+JC0jRafAcjmLdVgNApNiBod2DEowhAJ3fepadd/wzAHNtMt0pUUwRGXMksQT1wtFmTIrE5sLlWG05zEoLU7PqBg6nFHNv86voFIlUdxcry23QtYdOWabwFh37t8WICjoySdQ7nelmHv35SwCYPKNs+OGXSenr5JonN/LuJ/+JTazEu7eHRQCKwnBjD89/9csY/V6u+vW/47n1WsL2FOYviQMBpFE/Q/uH2WoopSYcHT8GOkeMax09LH75HbDoCWgFRJN+/OLXaRSWFPlZXOjnta1mto0kygqHonE4Irir+g+QFvHwTvZinilYze6UMtb17SFF00le1ytEtzajFSd+HQ6YU/G9fy1p3Y3oXqvD6eklYITovncRXS9j9ZqY1eiBVC2e/cOkbn4Mx+LrUErSSGnvpb7qAUa1OnqtGkrNqdhrdoIgELv25sR5vETKC+81LrojJYritDzdp2NWmtfrZXBwkJKSEmbPnp2UC/NUS+yMdPbxbNpi9qbPPeE1bcTPjloFpSPR8SXEpHHBVfJsuP7ltyiyjNzjxffz1/hTwW3j7/3GG93YIhru2rwZkcR+h9JKyEwvxKARef2z/06/bMUQCdJlzeZvc26kJ2fBhP0X9uyDn+9Er028v/hALU1PNPKo/WjH141HBBdAE49x+9JRytO8HFIS2aosanjzI18lbE/h6l/+P0wBLwMfuQ9BUChOD7PlX7bzm99K/Mq/jpqRo1NSLYUBbkjvZPEr74JJx+hzmzAMuxC8E5f/+VFtGi0jAk5RpColzvH0m9OxxMLc0/U26wYO0m3N4rHZG9g/oiMg5JKxeB4p3t4J77EERxnZFma7fw1Bk5Pizh04/uPHlH72KWZ982XS/+dFjFmpGEsL4GefJuflr2C4ZhGGeXa00QhVhTJ5BVZiceiLJmbXDRoyCYfixPfuI/7lryLET2zr+UYV3clxUWa600EyRVeWZRobG3G73aSlpSXVHP1kS+wIvg6inXuABXRkFrPqViPy/x4zXTEcZ+Wzmye8R9LpEGMxGsuuxKb9E3G3D22Xm5pFVyINJzqqUmIyP1tbRvHBPTh9QwQ1ifqvy5lP35AflyRjTjHx7qe/yUOH/sImOUazKQ2tPYub8rqJkEevJ4s5TZsQUBBDUdDr2ZZSQbc5a7wtd//zQ9hGjmaJhnXzMF1difnXTSjWhI3lzjs+Qt+cKtb+/vtkdDZhvHYhW7oSNdZHX0gnuuwe7O5BrpwzSrgtlcYRN0GDjor+AHP37iQiGOgcErHVdSEuX4qm/Oj+FQVW/+oP7F20BnfWLDyyCCiIQKFWg0eI02rPo9Weh1aRiR9Z1ic3MMSAKY3fzbmZcncHl48eJMszgsDRh2J+z35GU4tpK1pBZf0r2L98G2bhC4hpqUiv/hkhnDiX6U4r9R05uN1WdK5cqjiM1NxCzlVFZOdaiMWt0Ay9soNozQiFDS1oX38dS8VcmFOO2N+DXFw23sl3PlFFd3KoonuEZJUXgsEgBw8eJCsri8rKSlpbW5PQuqNMaKcsI+zZhrj5FSLGLChbQB8WpP/dzeluPXfJbJytTUSKshmK5+D7t5+TsuUxGqOZvDpcOr7dbKuBaMN2ikYTZYmxTLc1HKU5EmN/t4dyr5EFRWlszltGrt5IU1yiKRZndMUq8jODdOzJ4xe2h4hGA/h1iWFa3ZajgvfBX30VQ8iDblU5pluX4v76Ezi/cQextkE6OoOEqkz817ceIzUrjcpNzzB7xxuEbA4ev+c/4EgFoWDfNsq3vsKCf72SuK2UHWI2ozYnhcRYt/cFFDQcrLyZsMmJp6Ca7P63EI4sAX/4CS99GUtov+4RuuMSgiSjJTFdRAba4xIcczTjx6yjFtAaMSERBBqdRTQ6CskNergs2EFFd8Lkxu7rZ1HLC4i+xDjejL1t9D1chFb2k51qQYoohBUT0vZR+iN2EMCQosNvy0BobcJVtYqUVCPGzMSKEHMLdRz2irSXrCRnwXIcr72CwRRHdI8SW7qK+OXXXhDhnQm15YsFVXSPkIxMt6+vj9bWViorK3E6nQSDwaTXicc60jztzTjefAlxoA/K0ojMnwMdENCZcettpESPjhNVgBcLVlHk72e+qxVnaxMAho5+Vvf+hohopKtsEc/lrKHA4MOnWJFiGlbZd2MZPdqREDoyC21Rlo2KVDOj7jDXD+3H4ihjW+Y8yq1BrEEt/qiGZ3ZY+Id1Xsor+ni+Nw9FN3FcrKDIfKbhKWzL5sCyOchIaJyZaP/1AbR56Yx89rcUmJbg0mpIzUp8U+gs2cr6L96E/eO3EHwtUXe9+b8+T2ZrPYYrKjBdPpeRf3kKWTeAUrWGZYdfQybO/gW3EDc6AZBzc6EfeodTSAtpqCWfxkCMGAKZmkFm6fIpLO5nbpmXbVuLUfqGKWjfRrsth7dyJ84SMxjMhEUtRkkiLIggCAyYbPzdvIAWwcTl/fuxSWHMwRFCQuLza8Jh4s+P0JdeRnavj86iFcQ1BmaPbsbKEIvWemhypdOfM4vSpt3UHR5AMz8bxxHvXX0kwOx5xTS904j3w5+l6MAz4PcRL69Et3srgiwTu+K6CyK8KmfHRSe6M8En4XgkSeLw4cPE43GWL18+bnM3XZ1z0VictGd+jyYs40nVknpDGSH3UVHrtmSOi64CPFp5F169lWGjk/muiZm3EIszYLXwt1lXkhka5c6mN3m0/C5AYluthmU6CwZBoTc3h4KOdgA8riAFej3/ViBR6e+iyW+lK7WIRrce5UhWOIqFX27O4bql/vG/jbGq/wDLh2qxxCOIDy8m+Iu3ECQtyr4BtLKE9IMtWGzZyIXFE973hc9+8si44KMPx97yKjJb69FXJnxpw0+8S+CmUkRZosjbS03xZcSMaTSlebj67ddwFSWmAPeG0/nLG7n4zeCIhql66f+IFeWgXVnAQEcOAx2JkRgZsQAhrYGtWYsmtOX2/CGGR/JBUZh/aCPbUsvYl1aOVY5iVyQOpZVRk1pKuRIhw5qCIEvMq3+ZVHcXxV270MeCKMBg+mwkjY7Sti0UefahNxTTMpKGKUOmrHEn6cF+mhuMzC2zYAQOdwzRqPOzbt9GUjUhNDoR4jGUeIz4wqVo924HWU64lqnCOyO56ER3ujjXTNfn81FTU0N+fj75+fkTHgrTJbrBqMQf02bxaV87jtE40k93EMxeBDnp6KUo3ZZMFrhaUIDHS9fj1SfGjN7f/PIJ8XrN6fy15FqcER/3Nr+KWYrwYP0zbMtcwM6MeezMmIcjMETGwk40mUUQA8doPa16K/c3v0WP1s6bQiFOvUJfeOJN7pItPLFzYoZ7z1cfIGKx0nrbLbiycxg8kIHrio8xHNIn7BzrnkaDgi7VQX/+7Anv9f5kC/HN+zD+9EOIioQsaNh78wNkNx3CdmTXgk7HwNLV5PkHGOiNEFpXTZ81SF56gNJHKul+MpHlhwa6CVlzAIEUswXp/Z9GexKRatFaOVByzYTl2ReONFF+YDvOjHK8tkxS/AOUZ8wmoNPSjImwAPNECI92cdhRgBSNsnSwlq78JTi8fWjkOLn9tbjtuUQNiXMTLUgnta0bRSoky+anLZxDTKvH6OtGSZmFZ/N20gCb30VZ634yRD/HlI7RtDYSvufDKDoduj3bQJETw8sEtdY6FdxuNx/5yEeoqalBEAR++9vfsnLlyinFVEX3CJMVXUVR6O7upquriwULFmCznbj0ynSIriAIBKJx/reliBsrzcz3HgIgpDFgkKLkBYbotmaiAM+XraPNlvB0eOTQEwhWY2LJGODR991FVu8QXdE8zNEw9zW/gllKTAHOCrl4X8dmruzdw67MeezLqqCpNQtnaQxawB4IcGPrVmKCyJM9Arq0KMPHCK7ABD2YwBPffezoL4qMw+MiUx4iU5Sosc2iubqKud4OFHeYeZ52NpuOGrj/PP9Olqyfj+GZEHKehltf/x1vVm/grQ9/hfzBv2EPRDHceDUD1gzmBl103vcFTHX7MN+SzQ0FPiI7WjD/7nlYuRhdyUJun+NjU6OT9rjEoCRTptPi1BwVqfZYnE5jorRhjEcIaxMdifka6MssJXegnpyBhFmR12IlWyNiEXXURWPUSrBSiYOni0Z7PvO8gxR6e9i95F5W7P4jAEHz0c8W3HEQY04WStMIVWU6Ol1OBtILSR3oYNe8KykOJUaelHTWnPLaEAf7iK9dD4KIbvcWkBVi19yoCu8UeOSRR7j++ut56qmniEajBIPBKce86ER3JpQXYrEYtbW1aLVaVqxYcUrzmenKdAORxMNB0B0ReqeRsNaAkRh5Bh/v6HN5ruhyamyzAHio4Xn8y/KxbktkeQcrb6a8P5UDcSsIsCrShy0eOmFfjliAVaOHyMbDs5mr2d8VB3QogoBPa2JT3jKCVaWYYl5uXNhOqsXIH7dln1JwAUx6iXVdb5JyuJlcsw69BuRcE9oHl9O5Oc5+ezkl61PZ3Oigtz0y7jwz39dCuDiLrdqFjHVsvbn2LiKijojWwC9TPsYtf9nOwOxVCeexlERnXWjeYsr9HnrcUZ543c11H1iJozlMn6Ij0uGg0gAjkkRzLM7BaIwcjUipTosoCIQUBYOooNfE0YXDhLUGZnl7WNz2Ll25i3incgVX1GwDYEnNy3itmfTkLsKYOouGSJStzlksGGkmLzjEc8VrubP1Day2MAFzKpbgKC7n0am9Q24TzmwJYWcP+vI05mf2MZBZRH5/M5agi12Lrya/79SCC6CpPYBUtZz45deAKKDb+W6i1LD+ZlV4zwGv18vmzZv5/e9/DySWNErGogIXnehOF2eb6brdbmpraykpKSEnJ+e0255qTO1UEEURbzhOmkUhP9J2pFFhwgsyMGu05M9NgR0CNamJYV83dbxDdniU+P5EjTdmszJoz+VgJIqswCK9Fo3x5IY7kdI8TEqYGgqx6aI8cm0//7ZxFjsyK9mZM5+4LFLtacS+wMn21jxG/GdesmVNah9LWkfBYUAoS0W8fjZCWmIM6uJCP283OvneywkxynX3QKL/C+cbG5HuL+b6q5bw6KbEag9GOQCiiQiJDPS59MvG92M7xgNisN/BYL+D4qoMrO6XiesiKFYvyIn9Zulk0g0aWkLQHZcIKTHm6XVUx31UtvwNjRyhXl/Oc8VrWTFYC0BB7wEKjgzL3VN1Nw5vH3m9B6hofI2ScJQr7GbeSq9ie9YC0sIedMDfZl3JFV096EJehlNnMZpahDHdzWVVAzzZs4icJ/6OXahC/tNB5t5ZyeEdW5DMIte99cczHlcAzUBimjaCQHz11YmMd8fmRKlh/a0wDcO6zp+nby3gSXJMB1B5yldbW1vJyMjgQx/6EAcOHKC6upof//jHkzKoOhkX5eNvOrLdM2WliqLQ1tZGfX09ixcvPqPgThejoTj7hjrZ/cU4jrbEEjHiB6sI6Qz4Ixr+vveow/3yfBeLbzAjGnV06dJ5vnANBwrWURcPo8RjfLD+Odbv/C0RgxX5JJlQfzSHvbqltNjzKdUEaN6YmJEW1ehRtBqybRH220p5szMTgxxjrkFkQ7bEF67tOmX7o3sHUEaDiLdVIN63cFxwJRncwaM5wCJ/C/e2v4FT9qIoEprWJtYFRLzPJ1YRvq3tLT5y+EU21L9FVkvthH2kiiLFJaNceW0D8y9rI2BMlE0yDGZMHjsxjY3MaAoWf2IdNyEcQwxLlOi0zNFp8cgK+yNRclq3YPTF0QU0HEotxRHxUeLrobXoMg7Nu2l8f/PrNmIebqFuTsKsx2DUozFpWFMd5nKpD5/OTBSBuKjlHXMOI0YHfdmJmz360lYGwxrufqgYZZYdz9u7kNtcSL/ZQ8WXluN7fcuEz9ZYXEVQd+pp5Er4yDcWQSC++ipiK9ehrTuAdsfmU75nKlzKY3Tj8Th79+7lE5/4BPv27cNisfDd7353ynHVTPcIp8t0o9Eohw4dwmKxsHz58gt2kQ16g9gzO/iXxQrSc0d9cdFr6Xad6EG6TDdEyzYNs4IR6gpLOJRWxkFAE5e4r+U1ckIjAER1ZvzWDOy+ARAFxLXFxDqDFLXupj27Ckw5jLjhCePRHvxoXGRQNlKV42bxnh3sNxazO72C+n4NL/afeoXbiNaAIClIfz9M5KdvEqptRrntBp6bt54e6ahJzPqO7fT5PISNelJdHtZcuQT2DXE4twjRJCFpIvxxxR10Re1YAm5Wju5gW+oKADLMcYpLEoK6sV3LaIofw65DlOaUYPMPIkpxVu383YR2jToLqZ23gSytBr0gUB8J82ThGm7u2UmJq42s0CjtthxGDXZKOraPv6951hqyBw+T6+0l98CT438X0i3EivMQhwp44NCzPD3rCjw6K1GNnsfL1lNptmEG5GUb0AW7UIxB0n7+YeLtQwQe3YTFmIf06z1oFxfhenULKUf8iMvb95/2GjH8/U9E73kYBJGwFMfccGTmYcB/2vedK+dPdE+dkU4XY53jK1Ykrqs777xTFd1kcqpFJEdGRqivr6e8vJyMjIwL0DIZURwGsYGCjDAFgNw0grKvD/JsBPuj/M++Ey0LlwzV4+/1UDRwGIDrurdxKC1RcpDQkB8YHN82u9CPfUdiRpiwvgxxRT4GQBos4t3tlRQG+wmaJrqRbeh8l0pXG2h0uA122tNOn/l/8soefr05B+2KAuq3KViFGLkINC1YxcsFK4nHtcfOQaDz5lWUe7swd0dIj3qRiswElpezqzkxxfi5wuuwej1cF9vHor46Yhkyncbl9IQFXPEo0g+3IAeiPHBsIzpPvajgYEYZGUONRAw2DHoLK+tf5InSa3mqYDW3AAu9XezOqGBr1kJu7jy6sFpZ27snjae0jNL5ioSSriHuzOPDtX/n+eIraHIWEtIaqRvsZ35WDkZR4MDeAgR9hPIyF1kFAo7vvx/FFUJ6/CCWtFxGi+P0/fppbEvnYa2qOO1x1vR1433812yqXsqoTsunRhMPn0BqGtNhDX4pZ7rZ2dkUFBTQ0NDAnDlzeOONN5g37/T2oGfDRSm602HDePxy6bIs09LSgtvtprq6+oK42Wu1tWg0E+fzS8EY3hc6kK02XipdS0tm5sRlDo6wN2MuewEhZxl6OU5EM7ED4DuLH2L+aDPGeBTNwV4izmLmudtxpeYTGDFQ32dme2sxAJ3mbEpG63nwHj8/eLWAFdkjLC4x0fQnLTVLrqBen8X/Z++9o+y47jvPT716OcfOOTcaDXQjAyQIQgTBIAaRlKhoS7aCJa1G3mPLO2vvaI81Hq/O7tiWRpKDZFmUZUoiJWZRjACRiJw755y7X+iXU1XtH9XogAYIgARtkeb3nD79XlXdW1X3VX3v7/4iioJGka+opgDw2TJ8fc8YRp3MtCNM8ISFJ+wPMGhyUxydQkbDhMXLx/v38WLZrZxp01PeM0hw/a0UDF2g8xMf4vkLS5Pejl/+gJpjr2G/vRFdRRWh2o2kMyIgM5M0ctFQSlOs95pjnNEa6avYSdiWy9azj6/Y97nuF/lV5R6eKb2Nu0ePs2Gum9O+em6durgi+OQS0joTWiWNJqtO3mt69nFRL5LUaTEpWT42uJ+jues5lN9M3OmhU0nSoBh5um+GB2ty6O7Io7/XS1FxCOfRl7F+qBjhhX48NSVQc3110wDcczN87OUX0S57no0m27uSCvL9TLoA3//+9/n0pz9NOp2moqKCxx577NqNroH3JOm+G1iuXkgkErS2tuJ2u9m0adN/YIijej3DfoHv7hP4zJZ1jFzsp7XiI6rf6MJ7XyBEmVCslGg1FGbGOS6ou+UGJwAAIABJREFUUufu8TOkcx1Mxs0M2FXXMSsy0QVVfpu7Cr2UIS3qoLyKwbluujqLSKJFVKQVkueAu46/fU39fHLKQ1CfpXf7BjQa2FgSYf1cC7riMk4diXL2Ckl3FAUsBpUEhhMuTjqrCSe17Jo4h1aR2F+4mV1zZ6iMjLN+roejeU28UrUFRdDQVreLtoVVtXNiiI98++uIWbUiR2zfOfSfK8fS0Uu4oRGHkCablnm1eBuF8Vl8yaXqFifXNJGvTVCYCSN2qvpwXTZJfc/rVxx9WzbB7/W+zDNlt/NyyS2s8/eiURSO5q7jvtGjzNtyCdsLGM9vxBmewDvXjzu4sk7a+rZXFz8LwK3TF8lLzPF89YeIpLW0ChkmY2l0BSZM+knMER1DA16c5tupe+EAusSVE9pIgoB4FcFDAoyX2SfCH/sU+v/yNYx/9CU0I4MoNjuK653nBHm/k25TU9NNKbu+HO/f0bpBXDKkTU9Pc+7cOaqqqqiqqrppFSneDrLZdRw+Wcnh73Zxh8tHgcNOi8azwlH/yx1P0xyeBaCh2k+5XpWMy8Pj7Jhp5fbWN9HKWfSCxK0WDXckZvhC53OL7dPiksdBh6ucvFSEh5tnefC/f3Vxu9mwWu3Sk85FQUCSBVpHzbQcDRN2aLHvyFl1rKAoKArIChzqdvBadz3piMzHBw9SHJvmjYKN1IaGuWVU9TmWzKoscMG6cim99dc/5JG/+soi4QJkPLkM1OzGnAxTGh0nImmJ6UxkNVqeLbsdGYH2urs5suPLpJ3bGLbu5pjrQUYLmwCYt+fTuubDDJZuveJvoJezPDqwnzpbnBZPNZJGpNVTxYzFx5ynktGiZjJ6M7PeKjrr7uLkpt8jeUs9inm1PCO7jGQ3uakKj/OHrc9hD04RUxRur/VSop3AkdKQzogYsxHquveTQU9H/W386O57ebyhideNS4m9E4NjV7xeAGM2y7y4pA6SNFoUUUTx+0GS0D//C7Rnjl21/Y3g/U667wY+kHQXIAgCwWCQbDbL5s2bb4o/3qV+38mybgNBdmgnmD7/Kj9KLlmtt023cseEOgOPGfxAOXYpzOxgFopYXOaPWHLpcZZy61QrOyfPMmgt4EDBxlXnqZ4f4eHBA/i9lWh0dfzs778LC2rfeOqti2AmJS2n1t/LqRNX3q8IAoNzRg51ORgNmSgwyeyebMUZm+YH9R/Gmwpz//AR0hodP6++i0nzSt15WWSCIVsB+kxycZus05HJLWLms39CesHf9WPdr5OymWnT5zFuLSSkt5JFwPL9/xdrvhfTD/4InSAwOw/mUAzGQZQyhJzFzNsLKB8+CcBUbjEDpXfinB9nTferaFC499RLaCv30KZ3IgsazriruHfoGJVDKnn1VO5izlOBLjxDKM9M7/rP4/UPrJCihVCKSdMOinkDVzpCY14xPVmJWQle77HRYNaS1ShsHXwZkQzR+7dTU67F9be/JnLH3RT5g0hZA+JcBmtZIZQ6YHgerHqIplkOx0KgC4AoZzGUFaIIAsLMJEImg7b1LJrZKdJ3P4Ti9vJ28QHp3jjek6R7s5f7sViMlpYWRFGkubn5XamT9nYfTO36DXynP0vc6l6xfdSSy2+Ld+BLhogG9ZAL+hfbmXWrWcIkQc0J9m819wLQIAQZLKrjlL54UdWwHJJBBwhIWi2hGRtmW4rkjAmDTuLB9X4kRVio9CNQnZNAp5OZz4ik4yIvtXqYDr/1JPX4iTwAynQhGuczFE2385Pau9AJJjbMneXl4u20uytXtfN459lz6Lf8eNcXUXbdRqxpHbNFjWR8+Yt+p/rUkmXeEInTpBkiVmhjvMRN2/ODJNaXs+avPozPrdYva0kYqZlU3dpMiRAoCraoOsNM5dTSW7kbAFdwGFkQ6a3cReXIMR5sfxZb7V5OGfO46K7m1qmL2DNqhFJN/yFq+g8BMBlag8/eS8SWt+JesqKe4iNvLH5fZ7yIQW5gOKklFPEzVVBCfe8pLLMzaB6ow1cPkKX4/7oPZTaGNJEPrcsSpQ+rfquTLhdCoY687pXSb0anR5dRydi1axOQhF/+eHG/4J9F0b0z4eID0r1xvCdJ92ZifHyc4eFhamtr6e/v/52rSDESiK4gXK2cJavRolUkup2lXNDWLu67RLAAGaeF/6f5Dxa/ez9bRt/hUj56/GeMNdXzC3llxqwBYz6/rriDRwbeYHB2J3WlMY4BH24MUF+wFPo4ENFhN0n0hfW4DRJ5nhRfvn2CLn+MgZlCTvc63/p+Mk6y2Vl+0/TZxW2vF115aQ/gCLnpuftr6OIJ5i1Ods1cwDMWZuZkjPnajWQqa2ls/82KNi1l5cxkZDIGPW9+8xvcURDFa4sRa5tD3znNLT1+WDB2iXIWYzJMVf9hknor/eVqnTN9KkrubA9TOXWUFUyi7Usi1Hho2gxVz77KGwWbmPJWM7q5kdnkC6w/ksGVUH1k86c7FsODl+Pc+g/jVMaoPXcKAPfBkzRUJ9FbajE9+1Om/vDzNHQfp7e4mLomlbCViTDykWGUrjmygkBnYRGN4yvJdQIj7u//AhbcygAy229HLiqFX//rVcdWyKTBujp8/UbwAeneOP7Tkm42m6WjQ30xLvne3uzKEfD2SFdSZDJylmC6m75ABFCX23cFzxLSOjhlreQzfa+goOZ0fbVoG12ucqrnR+h1qEvt6eySz+vXbx9ieMiLKeRHJ2VR8myw4BRhlFKkRQO3WCc5ohTw68o7WBMYJ+VRo27KvMnll0aFTdWnVtlXLmdPzuQxMmTDqJO4K3qQ5w13rNhvS8fY4e9m3JJDz7J8ulfC3vHTvFao1htLxgLg8KLXiIy7yxman6I40IPdqzBiyZJ/4UkM6ZXx8M0D/TQD8ZbzhGpLKHhlDimWxgAoIiiXcUR1/yEsiSBtdfcgL+i4CydbERQFBAHD4Q6Eeh/K3nJGw2nWx6b5XO9vmdq4hcKmcSbG7qCtORdtJknedAdFky3olqlCFJ8F2R+ncvAsvZW7aa330Niplimy915kAy30+3xsP/E8UZOF/U0bmTooc9v4EZT+IOhFKLKjsxmobx9bZYmpeGU/qaFxFA0IC4+a7vhBZM+1XRzPnD2L0+nE5XLhdDqvGtJ+NXxAujeO/5SkGw6HaWtro7S0lMJCdamtKMq7EtJ4uSvaW6FzMsLzLVPLthgX/sBtStN8vpXDJZu4lE4mmZ9DxJSDN6NKWLPGK0uZBzpzMYTsbJKPMW728ssJVTouCYxwqzDAL1y34/crPDB5mN+U7iQb9yMFtHitaVJf+h4Znx3pfzyEz7Sywm100I+13IMkg+y3IEgaPr5tir6ueggsHVdllXAHMmyYbmOTIiGhoctZil6R+FXFSnJ+aPAARbFZXivcjChLzGrNfLj9OXota0mY7QTiWgJld1AS7qNs5NSKthP5NeTN9CMD/Rlw5jkpGFjpcpf2+zE4V1rtneEJZj0VBN1qaSBtJkn+VDsCCgVT7cx6Ksh7pBhB1LDRCZf8CabTHuSKLzPyvSewehNEoybGijZgu9OHpX8Y00E1MCE9r2CQFbyBYbyBn644t+TyMJjXjHvwIsb4DL0VlXzq1GHs0wEUiw6hKQ+lbQbGwig6Ed26HJIT0xgCSysyV0MVL3zlGzxw+LkVfWv8s1d8Hi7hzC0PsW79GsLz8wQCAQYGBhBFEZfLhdvtxmazXZNQPyDdG8d7crTergpAURSGh4dpb29n3bp1i4T7Tvq8Fm5Egvbarq5fiyRFJiw+hIz6yif1Vs6UP0xgbRMUNbEr3EnIYF/Vri4nQdu0iTOpDI/r1vLT2vsX9903fpzygix2EUZEF5WxcZqlKGNmL5NRA4ZoEF1dAY4//wg+kxVZdvHXr6skFvhvv+LU987w+riF19rdjASM1BRHONjt5GigAGs2zh/fMYxRJ5HRyJQYZ3m1fAc99mJEZBpCg7xWdtuKa93+7I+pCQ0SN6iW95LoFBlRR0oCryZBRgDzyZeJzU/gDQyuute+6mYGSrahlSR6PnQL1s83o1jVMc3m66HItopwLyFhdCAsFPQsmGpDXPg8462iq2YP8aQRRYHZ13sW24StJYz9xf8iY3QQDSz9xp2dxQxOqs/WeP5aQkYd0rLgksMsZRcTg368Mx24k7MIGoF1bZ3YkzEyd9Qxc//tsK0YsjL+nDzEP7sF8ZEGTF9eOW7AKsK9How4ChmPyXi9Xqqrq9m8eTNr167FbDYzMTHBmTNnaGlpYXR0lGg0ekWh5P1Mut3d3TQ1NS3+2e12vvvd777jfv/TSLrpdJr29nYMBgNbtmy54WXU28WNqBe8Fg1f3RZmX1hiMqnDq8gMDtop9SSZDYr8rObDi8dOF9SSXxBicsKJBoUNE12UT/atIFWArhkTOgEyCkQ1K2P2BY0GTY6V0rkErZKJHnc1Rqeb3dEODlDDOLlEv/JxbMYo8TY745419B39GpnSr+L4y48SGXcQ8evoH7Kj1WXpHjWjUQTuGz6Cp1rCaSnDZ80wHDQyTDU4oMdcQEX7U/yk9n5CmiV3tdL5WQy+JEO+RgoDqs5SJyRBURi0FWCXk8StDgbue5Tz3jpqkhPkJoIr7md9Tg+dUhOlE2e5c6ANo8EN0TTB/cfwvvpnyApIP72IZnZ1SGzJ+Hm1gOZlCDqLsUVmOH8wh4zODEItO/knQPV8SJXVqAfql60CFIXi8XOk9GYGynbgl2ZoNf6cv6zaifSTc9zGyut2+ldK48yn0B7oIUfuIv3gHeiK7HiSYdCq5CaEUlwLab2WyIbbcZ3Yv1hm6XK4bCa6A0kKrDqQFBKxDE63kdzcXHJzc1EUhUQiQTAYZGhoiFgshtVqXZSEjUbj+5p0a2truXBBdRCXJInCwkIeeuiha7S6Nv5TkG4wGKSjo4Oqqipyc99an3izcSOkOz4WY2TQR4U3wqQ2jZQQETUKH984S/iJM/TH83m9SM2k9YKjnu3aGDb7JPKkDnMihE4QFw1ty5G5itbk79d8lMpQlBKPjHk+yQVXFQ+vn6Bjxg29oJOz/PRoHo9snKXcOMu5ofN87UCKtv3foeDVv+P+kgg/OpKP15rGH9OhKAI7o63odAq9pY3sO2xkPKSqRzSKzIP+Ezzr3cFFTxVzy3xO14QG2RqbIrThYeJaAxq/GmDQY1O9Gfpt+awLDKAIGqJaNUHOsdx17N33OJlaJ97/9gDH2zNsb9BhHpsnUlKOu7cTRlQdRzYSI3RyktmpXCouI9yninVoS7dxz4XjGKKrAxFq+w4sfpY0IvKysa3uP8Sst5KkwYZg1hDVqFL0Gs5ii84ys2ULCBo82jxukb5CyDKH44E65Be6rvEkgLDwzBjCAyilTpSjIzAWhmIH0oXxa7bXp7MMtf6GmN1HSXj1JJPZspO1PiOHRqJ0zCbQzSRIpyQ2bFmKvBQEAbPZjNlsprCwEEVRiEajBINBuru7SaVSiKKI1Wolk8ksVkx5P2L//v1UVlZSWlr6jvt6T5Lu9aoCFEVhYGCAubk5NmzYgMl09exM7xaul3QlSWZoZB6dViY+Z6NBlGiNS1iBE0eqoLCKktEzbJ9u5XhuIygKr3Y7MQrQFB0hK4i8VrR1kXAfLI0TnHFRXDPFYFTDmX4L6WU/99f1hzk/bOOCsZH+eS1oIa41Mi9PMTxvxatP8Omzz/HrDffx5Okc7mrQ8ei2MMKh/494Is1gUsRrzOKP6NhQEmUuqi7jD1kbwYpK2oLEnrFTtLkriGpNWAMhCo0zHCtooklOcEE0U26YZ4/Uh8k/Q8GMSkYX3CsrRkxY89g81w1ARK+SbqezjIaWIcQ/+RpOGU6lPVScGWTdiQNcjrl1t+OP3MrmgacWt/WU76R48iJ7giaOFuQx9+he8s9fQHN+grjJif5rmzh5uBRjKoIhGcGYiuDSzOHpXyJMn78fn79/8XtW1JPRGTElw1Bow7/Wx9kLadymLG5R5MzZQqqrtZgflXD/amWIcsLqZKh2O3UVQyhnJ9EMqJF08oElNYr0k3MotxRAT+CKhUfTe+5De+4Esl5iWiikMtCL8yqJbmLFVVj1IhVOA7NjEcxJCY341u+VIAjYbDZsNhslJSWLVa/T6TQtLS0oivKOjHJvhd7uWaKRa0v4NwKrzUB17fXlU3niiSf45Cc/eVPO+54k3etBKpWipaUFh8PB5s2br3sJdLPj06+XdNuGZ9FIAkq5nwpRoHPSQiyqod6VprI4hE4noWvMRfPCJIIi89WWX3Co7l7azLmcsJdwoun3F/vaOXme0p4x7E31VJRqqQK2HT/I3+U8uHiM7WQ/t5U6uP1OF92dcKjVxrTZw8+O5yEIChu9fqzZJJ+wXOBFwwZebXcTiGu5e20As0lPgynFeFBPVtJQ4kkST2toG19paPvD9ufxpuYpjM3wTPnuFS5t5wGXQabGYeeC5j7yNgWZjcxxYG4px0BdcJAul5qIvduhShhhnQW9lEESNJz57Fe5zWIi9VIff9gyhSmT4Uqor9DBuZ8t/SafbMTzrR8SNxfiKXKQE1fg5VE0kxNM5DXQX34ru4w9yKKOuNlN3OwmlneR+xrzOfnTdjaMiAgKCNUehMZcEvMR4mMpEvM+CqbaUYCT9VvYfz4Hs0ZmMiEyqoBAhoF2H6FMBw/qolRllsbLFA1hmp1jblqH41w/muICDH+6FcIpzv9WYt2gGggjHJ24/PYWod/3onp/QI4ugTaTIq0R0MurlzrOpx/jY54HubvCQ41OjwJobvCx12g0GAwGPB4PPp+PbDZLKBR620a531Wk02leeOEFvv3tb9+U/t6XpDs7O0tPTw+1tbV4vdcfbXOJIG/mDH09pJvKSgQn46R1MvOKwq7yICf8GsDC9roABllHJGwkGrIAas4AEYUPdf2WW0tyaIs5eblkyUfzSH4zre4qfJNBOv4lRtLrIGDZsbj/odkjaB6oQ2jM4dSLw5Q/vY8vVFTww7WPMqezIGoV1sRGUIBf9RtZm38BT+Vajvc7mI9reWTjLF1hPXOzCwYvd4ozPeZV9/VUxYe4c+wUlZFx1mlaOetYR3J+6bgCRU8iLlCzZoJXBiyMBVXCNUsJ4qIJdyrMVzqe5h/XPEKXqwyAuM6EPR2lIjxOa0UTzl8/heEKVS+uhsjEEK6a3bxaleLOJ47Ap+5jc6sqAQerauj33QqCwNFDVeh0WTIZ9RVxnh6Bxho2ZpxkChVSySTWXj9Krx8DMGrMovcWISHwavF2zvtLKHCEyNMUYElkUfJNvDk4jyY+yV7qiPkkmFiSYkcKaikbOU1Gq0eX40HYmg+RFEFDDs4nv8NcYArv3beuup9/bijgi+2rifiSy9qVCPcSfu1/nmAyh2FzPh06H4Wl5dc9jpewXKer1Wrxer2L71w6nSYYDDIxMUEkEsFgMOB2u3G5XFgslhsSbq5XIn038PLLL7Nhw4abppp8X5GuLMv09vYSiUTYtGkTBoPh2o2W4T+CdGVZprO9D71kImhKk5o3cfyinq4JM/mihtZzJaQVyKBgCE9xPk/NaftU+W5iWhNhvYWwx7qq35DBRsiwzPF9WbL77D01DPX1UKEVKasxkX7jHMHaZu4bOMBPa+/DachS3D8ARXY+91kfatmwIC5zlpdaPfzjwQIe3TrDvkkLel2cI6MthGZvY6GAA3o5w52jJzmas5YnqvYimrIYPGkMkShJlki3PZ1FROLQ2ZUeBc22SU5GSxjJLcXtKUYHrJBhjSa297VxwVPDad8adk+eXdF+3p6PIzy5akyi5zqQi1UVU78tTY4vxZ5LO7cV491bgOtcnGDAgscXZW52aVwLNjegpJOE52R+W7yNOwLnsC4ziFUltaQmWvlV5R4G7EXsiHSyOXiWgPEWBl21dE/HMAgyj/Qewp6J0Vm+DVgi3VPNe0EwUTKuGm6UI0Nkj48yXHUX8Ye/gtNlwHbmGQyGJQ+XpEbmsHSeh11NeIIr7zdrsjKa07AY2nw1uGIzuGIzNAHZKS1MlpHdtgul4Oo5kZfjrQxper1+0SgHaiKpQCCwyijncrn+Q1R/14tf/vKXN021AO9R0r3SDBmPx2ltbcXn87Fx48a3pSK4lGnsZhoE3op0E4kELS0teDw5xOchN2oCTJxOpQGFSUlmUlrW1rgktU87c3BE5hcr/V7CHcFuCk1+tENzzBkdjFlyGLbl41/mw9s+ZKfEUo49Cjm1Oez/H5/EectuHEcmyI/NkkwZUSYiiLvLV1R42Vga4aVWD6G4jh8dUF2iNMisfzZDNHdukeS1OomeGg/WeC9hmpESWuJjWlggXHMyQNyoRtlJ6aUJzmQKk0jYORqvAA2M4SSlTXC50iAsi2q582yCs746tk+3YJSXjkrqLRhz3BhmAivaTQgi+XYziqLwxccDaHcuUi7+ijyU77yG+4nD5Llt5L3yfzL9t6/Q2/xFMpKZ4akKvPn9vFm8gQF7CRGzFY3/SQZNAjvndeyYt/Fk5R5mjU7uHXmTZn8vkkFDceINusolZt1VPDSoEi6Ac+r0imvzBCaImZdNkgoIGYmGrlfx2wsxBWMrCDdd7MM4Osv/NiQyke/BE5xE0oiIsoTs9qINzF2TcCMWL7bY3OJ3rZyFoT5wecjcBNK9HCaTicLCwlVGuZ6eHlKpFHa7HbfbjdPpvGm5T94p4vE4r7/+Oj/84Q9vWp/CNQIC/r0KIN0QFEUhnV6KiJqamqK/v5+GhgaczrcOQ30rXLhwgerq6ndcA2k5RkZGEASB4uKVD/Hs7Cw93T3k5VYRmMuQySyR66QriNeUYWrYjV4Q0GhkCiKTNHQfwH/nen4+Vc899TM0/+K3K0J9L6EmNIwvGcKXDFKbnUQrKDzn3UK7o2rVsRa9hKiXKLZniMzYSGTCzApWPtn3Kq47q/E1akie7se4WfUkeG6flovxops2PtfC8iq8yyEpaUR06OUMX+x6Hmd6yWCk6EWE9Fv4Rms1kF09Ec4fOYMcT2L9L3vR3VbH0b8bRL7744v7k7LC6VQa40LRyhqdljytSESS6IlFyGpEHh48QEVkabk/asnh36rvYW1ggAdGjixulxFQBAFRUa9jxmIjJ7Y6R+/bhWQwo0klEK7zFQ6b3NgTC94edY1k7n3kutp1dnZSVFR0xWrYNwJZlgmHwwSDQYLBILIsY7fb2bhxdXKm3zWcPXuWw4cPs2fPHhobGy9tvqrU956UdC9BkiS6urpIp9Ns2bLlHUuo71b13mx2yRVJURR6e/sI+lPotaVMT6YQLALd9nkyokzNnJ2ceQc76oc4OaGmSdTrZDYPHUVjU3BsNJD/ZoqXO3M4UX/lF6PHWUoPquHpgbopGn/5Mq7C1e5QDlMWny1NRtIwFjQwn5VAUCXncxVbyJ3MYY13ivbH2tmh12FcX8KDO5O4HjvDwYKVuRtKI5MM29Q8vn/U8Qw6OYtOzpLW6fmnuodYZ51j0/o0L7d6GIus1P+uDfQjyhIXvTUrtruT83yl8xnmd9XypLKJ2Ygq/Yj2BOeODPG0fAKFKzzdVU7o8K8ck4FJBj7+EaqVYSp1Oji+uo6bY6d6T0pPnGzvRW6xS2RP/gTFYiCGjcP5DQimAj5jOM9Lcg2jWSMlkRZadI0oSpLP9xwkZ1n+3pRGx/Olt+FIx9g418nB/A3cPnkOgEP5zZz11vHQ0CEqI+OrCFdxmhFCVy/3fTUVyiL8c2TtTnRy+urHAIqgYa5gDZ0lO0ie3cfe9ADarlakxo3IxWVv2RZuXnCERqPB6XTidDopLy8nm80yMDDwjvv9XcR7knQFQSAajdLa2kphYSHFxcU3xePgeisC32ifmQWreiqV4uLFNpSMF0kyICGjaBTCmTRVih2NIJAWJERJw8ljFYt9uGLjaKbmad+8htZuD5PzquQXNNq5N3iSRELkQMEm/vTi4/Q5itlXuJmYTiU2qz4DFh3muRAUQV58jm0zrRwubiaQcBJOiJS50jRXzjMy5cQTMRFzD3FPo0RPq52OtnzGPvFZJjUD+DIaDs24uPePtCRfG+VEakl6v0S4AOYyC+ZuVdozSyma5no4r9Sw5l9fQyrYBBYz9cFB7o+c4UT+Og67a7l9YqVeFqAoNkNmZy2e2wto7I3xRqdKun/qa0crdoB8ZXFCWCBczYfKkd8YJJ4JUlBn5pWSEooL3KTsKebOjFCYWdlaXuMiG4/SVb2dF2fLyU+HqZdmWCcP4Q9aaDWrEv6JSQcZU4aEycY+oyqJVWb9nPI1LEqWAnDeq4Zb58b9i0ErsbSMRa+h315ESmvgyco93DF+mi2zHQjAeH4jkbxCUm4d6/evTOSzHI7wJEe3fp6m1mexxAOr9mdqy7lQdT+ZtIadx3+kXtOeSpR9qotboq4JU9cFBEXGN97GwMYPcT6msHdBbvFfbMX170i6l0OrfU9S03XhPXlnkiTR0dHB2rVr3/GyZjneLUlXkiQCgQCdnZ1UVtQQmFMIBVXrsiAL2NN6SANayGoULs8Z7u1rRzLpOVhYR037CAP6BhRBg0eKUP4xK6d/AXopg1HOsDY4QKpgLa8s6E+fai9kx94H0SkZGIao1c6QoYIvtr7AjCuHQ0W7GA2aGAwaEAUJSZTY7jURVWKsax6j5XwRSsjHnFkghyDhVB9PtSd5OM9A/FySFk81l+OVog3cORPBFlSltx3TrZz31PDz6nswSmketLbRUpXPk+2FbP+Lb5L7T//GwSvk+I1rjegE1TezsTDGG51q+KzwdAeCcuXJUfzCRqQfqwQuv6Eaqmx/9ZA6KbeBQSOTlgSypTboW+nDKmY16D97K0UvtGHI5jFhcDKBk/3UqL7HC2h1V3I53c8IdqbtdhBU2r006QEEloVntxU2kF0onbTO30NKNLCvaCszJhf3jB4n4Cql8fyLV7y3y3HLyX9Z8X08by2FU2q+h2HTGohPk4QlAAAgAElEQVSlWbcsn+/h+J3kVJVQ23eAyYJGZNlJVc9BAGrLnMyLUQYVMzOKntyh65My388Rae8W3pOjJYoiW7ZsuamEe6nfmy3pCoJAIBCgt7eXjRs3kpfvw1RiJGBWyWSFxi0LlszKedASm8MdGmWkvpxdF85zZ8cZ9oyrRhi/aGPmTYmIzox1Ia/rQNl24o4CzIKAHjAqIgeHbLw+rBquorKeC2Ipz699CHc0widanuAL8WOs0QrYsxLDWYknW5386/Fc9g/aWNs0hmhOEx3wMj9tZHzMis0cI90b4LbJ42S1fVyO1FAaWzBCUquKTbZMjO26ISqlaT7f9RzdKYk52cBx10XO3bmLnfYrV0HocxTTNmxAUcARn1/cHtGZeLHiVn62aWVIZkKn44V0AbJ+5RhK/3oBZTrKl+v8GEWFlKRBH1hpqFEUBaU3gBJNo7vQxfp9L1zxmlSohHsx+BpJOUg01cfn/u0v+eP2X/HHbU/yB90vYsim0MpZzJkkOll9pnyJIF/pfHaxl6LYDI8MvsGa4AAtnhr21W8hz7iU8Gjerlr9J68z/eIlwgUoHz7OtjM/W1RBPFuver1ErKrKKj06xnjuUlmlc5NRGsQY3YqVHr2X4nQQ0tcORviAdG8c70lJF9694pQ3k3TT6TQDAwPIssy2bdsWJelnRnsp1JpwY+C4cYZ8e5jcw4No1uzCKK8kg6LxCygIuLrnKI/5CdhsZDRLFv9fJ9dRpJvGtkC6FUPHyb9b5PDJasq0Io/cNkrbhIlXu1wr+u3S2og2P8zadBfuvlF2zv2GiaKtTBkKmZIkxuIKJzrddAzZaSoMkZWc9HQV43A5WeNzIA4cZDKvEH2uEV0ihSaSJJFRQ3vHLD6eWbeNoFXPIx37cZUUcfuZw0Q9BgzZDHvauni8oIwm58do2NrJa4O5cBVj9fPuHZz95RR3jrVQn2um01XOxd23cXEmVy0GZtISkfRcdFVzzlND9KKJQMmdlEcmKLfMU1CnRzgwiPTD0xg2FVJS6SZ5ehJ9YGlJrrmritT4NLTHuXBa4MTaz+Nvcq2+GFlmuTtHqWE3BVYTgbiLc8Zick0eahMBXijdSWrB+Lc8JHv3xJnF3wkgJxGky1lGt6MUTzLEjr5WjMskeEd4mjGzyKe9L/GcfC+ueAQJBfHqNppFLK+y0Vd+K1mrnRRpWktl1rVpscoBujxL0ri9+yKFSpxMYxMaxYrY0UdoaBRnzWrj68oh+YB0bxTvWdJ9N3Az1Qvz8/O0tbWRl5dHKpVafDA1Gg1KwMwpf4QSj5UKk4N5rZZgk4fCpJ6QIc2oI0qN34EjFiVnTpUkHTE/p+rqSESMvJnTvOJcY9ZcyjRLS+XRi2qwgEOj4fyYnW5BYk3VGTr6Vhq/xtIiYzRAVQMAgiJjjkXQ6gzoTTKZrEI4oeVwn+oR4tZkMcwpWD3zaBIZhvPy8GQS1F58jJ1zep4qu41eVxVpUU+XppZP2Frw/vFe4s+dJnH8HNatTYgaDY54nN9/9WWiGhO/LttD1qBnc+0cp7tWBrIURadZ7+/lYMFGHqu9nyqDn3U5UY6OqRLgprlOnt56P93zDhQEyiITlJ86yMzGbRwq2MAhQJhWqN25jvL2TsovDuM6Pb6K34MWOy0NjZwRTcQjBnLECFviU3i1OpK5Zt4ILviQajRY/ZNEF8rNG3QaAnHVQHn001+nKT7KRCTEyIJ+25sIUhqd4qxaAoKS6DTjlqUacq8Ub2fK7KUoOs2jA/swSauNXkO5Fewx2XDEQ4wUbWDOU4EzNE7J2Fm0Vzh+OZ4Qq3BX1GPyFZIHHBZOYtNWMeNyYfJPIS/zANrUsh+A/KpSxAHVyNiS0LM6n9lKfEC6N44PSHcZboakqygKIyMjTE5O0tzcTCaTYXR0paX8f7+llj/6+Xlkt0Kp4CCquAgdPQQbN+M3JymZt6KTNBSNX1xs0139IQKyhrM5xTTMD+DX2Ulp9ASNqr5Qt2wlqGmfgsp1aLQSrrSOL6ybY3q6lMF+SCwsDpqLI5wftbLOoKOswg9ikpEz82TjGgJGJwnZhSysDBIJyDKkjHy/pQGaGyALhYPTCNot/KYowUydG82UTGF8lpjPya9m13HHXz9D8T/8BID0yBTGh/Zg1htIKAZ+VX4nWb2Oz26fJM8r0+DJ8NOjSwY5WRBoCvRSnx3nt5v30BnwwNiSlHfGW495Ps3W2XaaZ7pwpyMoa+0I3b8hZjbzyq5bGZz3MjYp0pWzBXK24EyFKY9MUBGewCQlaXFX095fgSRoyFOS3DV2nOpAPzpJNX7+S/Z+MC857id8eWppYwUcPgmdLUkqqCcb1XHBXAzmJePi+kAfF5flkfib9Z9ZMZ5TZnWS+VTfq0R7x9DWlqK7jEg3jU/iLN+BhtcI2XKJWbzELF5m129h9vRL3Dd59TLzj+mreUBwsm7he615HdNShPy5OURFYbO/Z1UbyeMh7+wxumQrZwPSNUkX3r20qL8L+M53vsOPf/xjBEGgsbGRxx57DKPReO2Gb4H3LOm+G+qFy927bhTZbJa2tjZ0Oh2bN29GFEUikcgq6Vkbi/A/H6jl8Mlppvr8fK9ljD+3XMCVqKYSVaoMpYcWS77M5JfRas6jR2OgIdDPfcNH+Ne6+7BnYvxe70t8r/ETlE23L/bvTar6z2hGw+yslcOtuUhTDtY7UpwIqS+Iz55BLypMk8Ex5KOsbpLN9xqZfMXC3v6DmJJhztffg2WmCzGdZrosl1h5MadGXLDsJRu35DJ+qRLENCDAqDmH36sa4WCvk9caP8qevyuizjRCsDqHPmstJ085ielUIvtix7N4z4XIeszYfQ4wLZFu9byq69VG4zx84De8UrB1UWoEaBQmuPf862iLLJBWjXbCUBgASzzOvc+/REBno0BIEDDYGbAVMmgv4Ly3jvPLysT7EkEeGjlMau8OKMoh7smjs72IcTHOVFZVmXyq7xV+UXU3kixg0KbJ6jVkwlqqj72GJGnparx71fOwf6H6xVvh/uEj6BQJs89OX+WuVeXgjekoa7tfA+B/pf4Ga7SWj1q/hndyGMfMWycpfzXxMiPxDcxFK4iY7Ri6X+ST49OIivraF59U+1UsVoSFxDgdPSE2jI/SZSqndTx8zet/P2N8fJzvfe97dHR0YDKZePTRR3niiSf43Oc+9476fc+S7rsBURRXBF3cCCKRCK2trZSVlVFQULC4/XKVRSaVoufJZ1gTGOAuq5tpg48BUaFoSy7JSBjrAulWv/4cuNQZ9YC1gT6NgerQCA8MH+H4up3MmR3k+/0ktOoxy3WFjnQUUZGJywrIItKUE6s7iik3BOfUGPbX2l1YjRLTSS1FoSGGKUOvl0g7tPRU7WZ92/PoEz3U+AcZkk1sbx1HyQmxrXcKW0w9V/b3NzJhzaF32kTfjIm5qJ47C8d5c9jDkVYzuzZ3sK9rLaf1G9h6mxu3SU/redsi4QJIggg+C4LbhG3Uz0f0B3mu7HZAVR8AiDL0pcUVhAswmrShVWQ0uyuRf3Zh1W8iOXPJS4YQZPCkwnhSYTbPdfLXlwWUONMR8v6gGsEbA0RGHzvHGV8F81nVEPj7vS9h1YgY9BKptEgqq18sH9G+5r5V59023UpCa2DQVrAqYvBymBfyRhgcFrTZlaWR5kx6vIml5/FfBhqYzTHhrzmP7DdQJ4W4FkrGzlEydm7xe7s+xsmaNdzTuZQeUvblIcZUNVZ5+2E0isx8bintQ1EkWUG80Uw47yNks1kSiQQ6nY54PL7i3X67+IB0l+HtqhfGxsYYGRlh3bp1WK0rX7LLy/VcnEqwr+RWEhodW+Y6KYsF+VsxC0chpQsRseURM7soXSDcjtq71FSB5NDrLOHvmz+BW2tBm0yQFUSmm9dCcol0B8q2UxzuwJcOkVYsoLOBIFBRFuCpXtUKnudIYdTJDM2p5DcYS7EpPo3RbcMaHECXUMegbmiA+ViGb7s28cP0GYT9A1yyox/eewsXYvm4UxIG7UXu21KJJAWZ/PMfcUvDp9hXvI0jp54jGG9nnfkLfKezCDktkJxVz3nv8Z9ydONHebz6Hj46sJ/i1gG0ehMNsUG8iRBt7koMC0vtl+xNnK9c0mOXEKButIf60BDAFQkXwBr3k9YaEeWl3zS1zLClkzJkRB29jhKO+ANsdUTQaxVeK9jDfEpdRa0JDlAcnabPXkQqLXLL1AUmzV7SGh1j1isnQNHKEhc9NVfcdzlM2SW9UPXAkRX7lhPuJfhmEvhm3jq8963QkHbQ0LkyH6841Iei0SDIMp6gmsu4ym0j3hNh0B+nynfzIjTfLqRXnkOZunqGtbcDIa8A8e6PXHV/YWEh3/jGNygpKcFkMrF371727t37js/7ntWAvxt6pBs1pEmSRGtrK4FAgC1btqwi3Cv1ua9LXRK+UbCJlEaHKGeZdBWSFXXIohZHeILSsaVAgTXdr3L/8BG+0PkcNVKCjEFmKCuRFPRMWny8GlMzc5mySSZz6xnJX8ep/F34dTZmNQb80710RMP889FcpmZUa/XUvIER/5JeKlBYTo89ga9uioYtCcxRNR5fREHjsvKPmaXrkUQN6EX8nhgaJcFIv52e3p388A0vz/yNHzPrWBsaQC/NU6p9lIay2wEFsTO8SLgf/s6f4dxdxTYpiiMd5cnKO+nMbVh0n/NKYe6YOIMAnGrYtUi4zXNdPBx6it87/zybfHOY/o+txL+8HYpWlym6BH02SbypGmXheTlUp1bf0EkZTFIKa1JdVh/odvPdfUU89mYeYyn7ogS6JjjI/oJNPFVxBzpZwpOcx50M40teXcp8M79p1bbi+XG+0PkcruTKJbt5mXQ7WrB+8fOkq5zBkRsLC85qtKR0q7O9/YOzlx+4ejhZ5+Inxnq+b12dlU247Ll3pFWdduvEzQtNfq8hGAzy/PPPMzg4yMTEBLFYjMcff/yqxx85cmSxtI8gCBcW/mRBEO5ZftwHku4y3IikG4vFaGlpoaioiKKioqtOAlerkSZrRI7nNLJ78iz5QVXy0EpXzgcrAClfDgUmC4FEkA2MclSjGmxSC472/7RmISQ4mQb9UtauLlsReQk/OUqSDqtK0PmiBkGjEJBlkpJ63UORAgbGg5gKwBntXGxvyaTprCyn4f58Uv/WgmEuglDuZjxZioSIwZsiOWvAoBiIbd7FC+xSDU2CAFnQhQzICETsaknxgtlW6r+2ieSGGsbOFfHI4G950b6eF8p2cSK/me3+HtZOtwIQ0lt5Xa9G5t01epxNc0sJxIXOWcTOg5g9ZvCvDJcVmvLRfLgG+al2lO45rF4JZUshyskxImIKi5xi78gxni3fTXF0iihWbklO02f0MRpUJ6O4Vp0gnlpWOFMS4IWyXYiyhKS5vkx0n5o5wC9ydrPV30VuMkhG1NIQ6KfdreayWC7pFk8sGU7f3LwbXdM2fCdfQx+c4NsbMvzXDd9Q3dYkiT95qo0R2cozmqPoF4hbK2c52/wJmlueRp9ZIla/mGK4tIDHA0/yqe1/wfde2Utl5XnuHbtygvOB0u0EnSXYDP20TkR4aH3edd3ru4m3kkjfLezbt4/y8nJ8PlUl9/DDD3Ps2DE+85nPXPH4nTt38tWvfvXS1yZBEL4EfBp4dflxH5DuMlyvpDs1NcXAwABr167Fbr+6lHV5n5cb/k7lrGHjXCf2BdXAW8XTl4x2UzLazTaNFlHOEizbxZTJwx90/4bXirbR6rmyP+UjG+dQDsWpmDlNR5VKunfa2km6ypidtRLMaLiQUsn+QJeLA10urGUuFEEgpjOjQeFP7x5Fq5fRbM1H/m0EeTrGfJXIiwfD/NePJBnS5+Jqn2fMXowoS/iUMeSsmRmDDzm90tJbk6uQ2HUrHa8dA/vHMTd6+MzrL3HRU82Roo08X7CJVmsexYkAh3JVu3tJZBKLu4hArZ4ZvYB4poPqyMIEFVhGuDoN4mebwWZA0GrQfKwB+blO5H1qdFVGEOkXvKwNDlI7P4I5kyCuNaKVs4xnJG7tOMjTFR9aNYbF0Sm0ssSgXc2s5kqFielMi/r0y7HBoMOq0VA38AqZBRWJoCjICMS0RpzpJenRIF95oi3ofBWTaxvWuJ+T2QitRFF8ebTMXSCd8FFUXMEfWDOEx/PwBoYW2zV0vbCCcAG+6V/Lc0qQh7XbCZ99ltf1FZSPrT6v5vZyxtfey/g5VUhoyLHSMXV1SffdqJ79u4SSkhJOnDhBPB7HZDKxf/9+Nm3adO2GgCAINcD/DexQFGUFqXxAustwLUlXlmW6urpIpVJs3rz5uhLsLPeyiC3LfKVHJq3Rcji/mbsmzqDLpq5KuHGTE3NCXc5eqlIryjJxrZGQwYYnvwZjRiZ5hXfghQu5bMnVk64rhAWVWN7B0xh/P0ltg4tQ0ExzRwLLm6focpayr3ALUf2SDk9G4H++UoLVkMUas5JX7MWdCrP+l0/jy83D+3iIj2hTKECns5xXircxqymiOjGMIZFk1LnkQiUicVBex8EDYDLl4QnNYOpJsRGFDf4eGgP97C/czFlfPQN2Nc+BOznPnaFeJgua6JDKmVXi/L33n3i6KwfHlmZYZmEX//w2Um1jvPjEANPrd7BxnZ2tD61BapsBoN9eSEbUkc1bw4n8OhpHWziZu5bC6AxDtgJGl/nQCoqMKZsmrjNyz+hxninbjS8RZNbkYs60OnDi7tFjBA12TvkasC74rc5OdxLK2QKATskS1xpRBDXvwuJ5Fv7P6yxYskm0isSsLHHL6DiMPg3AsTVmIplBBsMDfO/EP/Alz19yi1tHfcvzi5GIAMfXbmZ728qUkZfwkcCla7aBcGWilztmydTaiZoiWBNZqs0G5vVXV+O93310t27dykc/+lE2bNiAVqulubmZL33pS9dst5Br5RfANxRFGbl8/3uWdP+9dbqJRIKLFy+Sl5dHfX39dZ9/+XHDy5bB1XKYdo2TFncVDkceO1ufvmoffRU7mbcXkKuMYhtUXcnWBvvpdRTzL3UP4s2yinB9ooZZSSatgNsbo6Q0CBOq4SdksJLns5CUBd7ok9H0p+mpe5CUqMecSVIfGsRqdqDNptnvKMOUTVIWGmfO4KTDVU5a1LNXlrhvrnPxCRIAs83LLUqSs1o9Xc6lhD0fXz9ITbE6FrMjCcbCNobaMrRayhkr3k79x3yIPz/Hsbz1XDCvlNiDBhtnTbns7HwZazZJ1OJlvfHjKIGDJI93YiwpXDxWmU9ibCxmWlyPpb2XyA9eh2/ehWLVE02KvFysVs+YliQGFYjmrgVgfCE0VtJouXvyLBunWgjrzPyg4VEAhpwlzJlWpwwtjk7hM9nJQWLjXDcH8jciKEurmmPeNUwXbKJmfoSitB+/TtX5X/LPdaYiTJtc/LhOXTrfPXqMjXPddG/5PL1TZ9kxpqpZHvEbGTWLvHjsB+TGk9gMMzT07MOQWalWuRrhXg6hzovSpertf2EfYl3KydqUE2ai9HQMEXPkYk1k+VChk0iOkYysoLuCB8P7nXQBvvWtb/Gtb33rhtp885vfBGhXFOWJK+1/z5Luu4GrSbozMzP09vayZs0aXK4rhIdeJ37TOr342RwNYzEZiOlM9Mmwc9lx/VY9waiZTajSrSkxT/4ODfkFCQYGajjSdyvO0Di7lDidWjNj2eUSNGxzw8V4GiQtTlFAympwOJPk2NLMRPQcLdtIqM3H5KwBWRbROzzUzA/TEBygPDyBuGDSSogGzte48KTmeXDwMAlRzz/XfQRrJsH6QC9pQYdeyTBp8mCUUhjiY4zU1+CZThPULC29n7xYzhff/BWan7yGweygccMa1lqNpCp89OisHJ/x0VLxIAnBQH5slkmLj+LoFFWhNsZH07Rs2ctFbzX1sVm2T16gJDCBtrGCbDrLsMtNaVAN6ZV/dJbkgw1sf+MC4akMs2I1//ykicnqT6/4HSKZFAadgWZ/H2MmD7PLJNeMLBMXDRwt2ooiCBikNKfdq5P6ABRHp2kaO868T/VUkAUBDQqKotCTyTJddDvNc90UWZ2MFGzGMdGGTsqwPjrBtMbAhMW3SLgA9cEhADaf/yVtradhzTpC9gIssWH+LroBZgDsMPbcdT1vV8MlwgX4VLhsxb7CqT56tC4u+WXEJLgwHWdz/moPhv8MpHujOHjwIE8//TTA1652zAekuwyXk64sy/T19REOh9m8efM7ymYvL6tVpSgK7ZY8qkJDtHhqmNDbGbbmUhpVSTlX0vO39hfZFFZrYpkSIWTJQ+jCOPpHvo7zU18kdNtHAShQFOYkmfiCCiMNHA4AaEFQyGizzIcs9HTmcOnW2k2lMCVTHp2gaa6X6vlRdFfI2mWSUhTpI3SaCmgP///svXeUHOd57vmr0DlOz/TkHDABgzjIIEgwCcykKImkcrbl42xrr+9eH2u1PvZa9mp1JFuULVm2JUuiKVpMkMQMEARB5DiDSZjUk1PnnKpq/6jBBASCEkGb1OVzDg6mK3XXV1VPvd8bnjfDS9sfJmm08tHBFzEuuDnSvkl+eP+nUEQJcz5DUSDJhKhbhc3hUfrduq7vPzsegj98iD/ufIxQfI7TG21oRjfk8hwbdoEA5Yk5IkYHtlyK7clZzrdsZ+s3PklodxvxvIceazEXGvdwzw/+jtgHP0qupIGEMU/hkZ/y920fQhNE6AeqN0D1ZacDwH2+11gTGsbvqaUoNgY5lV9U7eRc0Sqq4jPsq9jMvvJNiwUgGcm4GKy8FIdL1nK0pJ324DAWSwHagrBjdzZPUFWpE1TuHD/MTEkbxfP9RB2l/F7fM6S8Rfys6IbFYFxxKsinLvwS08KYmpQMHW1r0TSNntY7aKo/gygoaMkMJw4dZ5NfL9joad1DW++LV/xtbxVfLerig2tvpc1byPyTpymbvsDL4Upqa4pwGCUMeY3ZRJ5MXsUkryTY90l3JWKxGJ/97Gd57LHH2L59+1Wd4e/ZEXun3QvpdJqTJ08iSRIdHR1vu31IZlmnAllSSIoGgoaljgj7yzejAce3tWNNp/hOdKkJoT0XJBmKEHn462SRSJTpU+qYqnIqkyW9QLiFmTBNiSVrGk0glpGprPEzNekilFx6xxYIUT42+DJtYR8GTWF0WdO9sM3O/jXrUI0y1VM+cprMmZJ1JBfanzuzesuZXCzGwVsfWCSPtGxiQl2ahve7a/CmlvqIgR44ynrq6M7fx0BuZfXfvLmA8sQ8Dw29TH9rI0WKh85/fZpsmZea8ePUdB0DNDK33UVx+gIIArashJxP64S7AHM+Q2U6RJUksnOum53BAZoNMreGh1gdGmFg1SY9+LTQraMwp0fxHxx5lS/2PrP4QlkO6QrLHhh9jfpAN+c9jXy/5QGOlbSjiDJBRaFNTVNlMiMAZbM9SKpCQWQSazaOY24Wm3FpJvDI4EuLhLscgiCgChLmUJr4652IrSVsogzVZuD0h+5CXGYgaMCYrUSfo5hlYi7PsnWXPyvzFomsLPOSfYb6jhZeN83xmNOHOx4hPjFBV0rPqnCmdP+vL3J5zvD7pLsSe/fuZW5ujt/5nd9ZnjJ2VhCEh5dv976luwyiKKJpGoFAgL6+PlpaWigsLLz2jm8By0lXUWVsWpJJRxWmfIaMrE81D7e1cdIyh635Nlb3LVgwbjNuNcCPJQ/qkz/ClBdpmy8gONxHb1EFqkXG61IIz2lUJvxIqgq2EmpjU/gcevXMq71ZGqPdqK4mBE1FE0RCC5VvSaOR/uoayqenyUkSBkWhu66O+bV1GG6zUvjveqXSaMv2xd9/Uajb4HDQPDvGCWf7Vc973lLAB8aP0ueuZcxRytfWf3rF+ovpV65cki91/yfygk/0iBRk3GmkMmpjTciBZfd69l/w0ODKkbB0kFjY35RLYlbz/EX5G4ib9N5bc4/NUjjYS6ahDGnGz1xRE5IsUZ6NIQjQ+lEH+b8U9NQ2oHihT1jQ5KIqMUthOkzcYCW2LKCoiJc/Ks/U7mZt4ALFUpYZdekFesfEUTqWpbddipdLNzC6zCV0ong1t0ydvOK2LRdepmttIRtvbEZ9YYDBrIcT69rYfj5E7YUji9tNWYv40aq7+NDwfloiozjSussl5K7kaP1tdPhepji4VBQxa7SDAT5a93sUWCVioXYO25+FIDxQ+hM2tn+X/HgCQ1a/HgOhDKs8phXGzvukuxIf//jH+drXvnbx4+XJ2gt4f8SWQdM0MpkMQ0NDdHR0XDfCBZiL62k8dlsQsylGUtAj2Zll/b96DGt4Y/44Y64iUraFQotwGi2YAkUniLSockJKcL6sjuLhXrzyKHFTjqxkRJKMnC5aRas9zieahrk/pQdWpoVCDjv0wJYlv2Sx/LjxDgbs1azyjaGajHTX1vHi5i2caVpFR1GKrM3Cz3cv9zbrEEUNpdbB2V3rsAopHNkEjZGlIO3OmXMUpZaKB16q2saYY2Wup0MQ6FCSfGryCOv9/cQlI2nJxHDNdlSTzD1dJ/lIi48NHeOYNIGR0WIURJzJlTOOGq9OJDmbmXhaIpuV6S25EV/dFkxD08hKDnU5YQqQyy4RLoAno2tV+C1uDm/fyLTNy0Z//+L6jw88f8VrCtBZuIoZ1cSqyBg3TJ/hwZH9VyTchLWArtY7+caGT3J2oaNErWeUamuWY8XtRA2X+0wvNGyjKOhj6/g45pk0qc4Az9TcyGy0gOr+oyu2DS0IpQ8uy4wAKAhP0HHuCQyXvDMqc3liViubq/SX6Yc2ivz7R/+UkEfkzmwVf3dykTwQFsZqJrHSGn+fdH89vG/pLiCbzdLV1YWmaWzatOm63kyCIOA065ZNRekgiAlG+naSvcRXKKfiRPJB7E4HQWctFQldlFoAHpo4j7a+hJ+f9jCr2jG5spQ8VEmTI8PkTJYjmplpmxMJcOc9fPel/cTv/G2Y1CiN+/D4pjqgDJIAACAASURBVOhdvZ2kYWlaO+ooW2izoyFbFapTERqnxzFXaTQ5swQzEuV5kYvKs6KmogoiPc46JsRihuJVeGpakNU8g65q0DRumzxO2OhAucb4xTSNU5KVU5U7F/2n31rzCPXRSY6tvQc5EEXcq5EskAhbU6QzRhyCgFVeGjOzOUdxWs/B/dlYJYMDJdiEHMWSQrJkA5oiUDd2jMrpTiYqNyAAmibQ+QvnCjPElU0gqXn8ZjfJKRMmVxZlwV1RH53Amr+GmLemcdvEcQqyK914U6XtlC8Ii8vpGHvNSy+eB0de5SluZnNugAm5gdfKNnDv2KEV+xfPj+JvbKNosAeG4HjpejKyiQwwai+lLr6UYjhcqstzDhZUcSy9mpawD3e9hWO2MjyTAaoC/hXHdicT+MrKmI15+Mr+40SUF9hTu5Vb22soODjC929bTd9AFjVtpN0m05VUODWT5J5G1+Ix3ifdXw/v2RG7nj7dcDjMiRMnqKqqwmw2X/cbSRRFiqwO/ueeJm6q2MPZ/Xu5d/TQ5dsR4E+26tUupkychKWAiYXSUPX8PD89Usa84mK9U+XeAo32rAlbzErvlB1NEJmW3dQYJAyCQOvWv2bTiTkMIijGEoo27GK7pGISrpTQLpBPygxrhbzkXc/siIuvPV/Nd16u4vzYUtcCdYGIDpR3MGvxUJqNEDBYF60sBIFXKrdytmjVom4CwOdGD/ChxDhrZAANj1FlvclAs0GmIj5DTWapK8SsvYQ5xcOYu4IpaxGxlBEtlEdAo8qwsgpMe+I7nD2ivxIKx/VcXGsyzkhe4UQmy8u2ct4oWUPA5GTd+WcwZWIImsqqwdcuGXcNTybGhNVLr7uWxnxwsZR350wnz9ZeLnB4y+Sy9CxB4DurP0zkEms14KllpHorMxYPX1/3ycXl/+PcDxlZ0Ny1zUdZ7++n09PIrLkAf2XD4nbu6DSeIb06MC0ZOe5toyEyjkHJ0V2wlJKXrCxnv6L72xOShVcqt/Dt9odQBwKM1Qk8f8M2vnHL5Spo64cGGev7V/aN/j1On53gj1RCr+kzh9kehZYmfUyjc2Fai2exyDni2ZWB5t900v3Wt75Fe3s7q1ev5pvf/OZ1Oeb/1paupmmMjo4yMzPDhg0bsFqtDA5e3n7m7eJigO5zP32S4sT3+Rv/OsYMPZiNW0hnl/QaxgsquL/cQcg2QajfgGJ2ou2oZfAlP0/W3YJFyfKZ/l/gEAVGqzYxVlBDQtMILVSUubNxys1LARShYRPOTI6EyQayAVk2sEXTeD19ZSU1QVNZFZ0g2lqIlBOZmLdccbs7Xv0PNrrTqAg8uvoji77PEsHPzQOnqd3l4BtTWwFdcassOEJZcIQmScZZt503HI3YJIU6o4GS4lrKps+zZ3gf32t9kEKjiVqDDBjBZMUT8tHSt48ZTw3Dq25f8TtCf/wwU2NRkoF5snn9Vr4x4sM028WswUyfu5YD5Zs4UL6J4lSQlrAPwey6LLgHYFMz+Gy6JVq9RqB7QWq2213HnEUfU2cqRtSiv4T2L8g2ujIxIiZ92bfbH+KOscNsDPQjAO09v+Bg9Q4OtdwP6BKSX+x7BkWQFisI47KF3dOn6Smo59XyTTwy/DITZWupnO7U752Fqf1xbxsZ2cTN06c4WtxOv7uGOyeOIGkqjo/VU3dIRI2mV8xkggYHN706zB8Z7Xz0Ktkcv98b5ve5Tf8gzfK84uVFxcvrB8r5HzEv5VbIpGV2VEyzqnie06MbWFeiE/xvOumeP3+ef/7nf+b48eMYjUbuuOMO7r77bpqarpxC+Fbxmzti10Aul+Ps2bMkk0m2bNmC1bokFPJO6PT+pO+HuJPf46/n1tEjqXxavRu5Qs8ZvQgh6+TR/ZU8dsrLE9U38ETldnonSvHZy8mLMhsMItGKdUhKllX9L5OZ7OJUZqm66KbZTsRLZgBWUSClaYvnNO1IXvWia4JIv6uamTnLIuFueu7fAJBtOazeGLvtk1Q+q+d8Rx0lbA4uCWF/oe8FGqxhTgobyC5YxVvCI+QkI/2Nu5kvbOTG8SNs8PcxrqgoM/0Iah5VlPCmIxSjMJlXyF8cf0Eg6KljunQ15f5hzOkIy2EdKmXn33yXzspqHFbdZ95bvZmZxl1sm+vmMxd+ye+f/ykfmDiKSclysHQD32t9kO+2fJDXSjfQd/tm5lwuUhqMFuqk7RYFjg0vZXKcXWi8WWROklBXdt0tT8yxeb53xbIXqnfwD6sf4qyniZ/V3cKhQt1/uyYwyC3pWdJmJwOuSvKCjKCpRMxOLEqWHbOdDLkq8dlLFwn3Ii5auc1hHyWpEKtDI6RlE0OOCsR7m8EgYQ0lKU/O41k2Rv9ZfyveYJx/UXxsHlxSYktYrq4atk2OskOO8rdNMl6jxOl5PbMjELEQSVmYiudQF67Pbzrp9vb2sm3bNqxWK7Isc9NNN/H0009fe8dr4H9LSzcajXL+/Hnq6uooKytbse6iFKMkvTVBk7eCC6k+TnY9wTfnNjKEkbkPfIE/daiMKSHclVmU2aVgWn/2pyQSCb4aaeDF6p10KWk2LuTQVg+8ysCqOl7aeTeZoEhmWeOZ8lSApvAo54b7KHjucY5rx9l3ew13NX5bTyfKK1QZJIyaDZUMDlEgpmpYS1KYo1mCqSVfnZZfepBOf+ATCKqKuSiDIAmccrhw19XwRtUN9BY10SoJi0E+kjkichGvTOnWVrNBprPtVraeeYaK6fOca3+AE46NyGEfFfEgRxxV3BgYwVYVhSFoKvYzN1fCVF6h2iATM+YQNZgoX0v59Hmc/pMkz5ym/pcHGP3uz9E0kdkv/384iGFLpcEMjpleti+4bvwmF89X7WCrFqDN4eSWphlm9vnoc9fyRulaNL+Ip6WRlrELOIMSESuYwhPMOpeq3FRJf0T8aSvYalZc16r4HAOuKhykibFkYcaMNn5Zs5Tyt2PmHLunTy8mbnWVb8aeTWKUDcw7K8gYbWye7+Wkt5Xn63azRchTOt9PxbRekXbRyt01c5ZMYwV1g5NY8mk6vc2okpeWJ14iZv4AlbFZ3JkYQbN+LQNmN89613Gfv5OSZYZE2iBxwCNhq6tj51AGaWaCU2tvw+O0YBrs5cGZYeThCcLDRiIU4zasJxUxMqY4KUhOMzEewePxoCjKfxnpvnB+mpnI5epobwelLgt3tJdddX17ezt//ud/TiAQwGKx8Nxzz71l7YU3w3v2NfXr+HQ1TWN8fJzu7m7WrVt3GeHC1VXB3g5qUzLfnOtAdBfxR+KNPNETJCjoFoTZvPIS1Ln20OgtZE1omFsSkxi1PIdLdb/u4ZK1jMc9RINmFFlk/TIf592+1zEoWTL1LQTvuokt8Xr+4u/H8C2kCY3mFY6ns/T6dcvaLggYAEv3DHf4uvhy508u+91WQUCVDWiiSP1j+xcD/vu+9f9gsOgfepWlh3nKWsTEskq00nQCZWqcvqZbsSf8NA4fxJ1wEPTUUO0uwZVLcNhair1AHwNDSMIjikzmFRRNw5yXsOUMBOwGRkuK8Qamqdy7j//rD75E0/oJPMFRmi+8wsOvPMnG3n24MjFC8tKM5UDLjYw5ShmSC2jeGaO2JcMmfx+fGHyBP1nbyz3r/BS4NI6UtBOx6lVps84KrMZrX/9SScSVSzFuL2HNTD+/HXvlitvVyiIF9twi4SZkM0POSppjk1iVDBkEulvuQNYUbpo+TVC2kIrNLRLupVauYXCKgNlFSjbT76xiumue3GCYlGzGmUtQH1uplXtUKuclYenl/IozxF93uBna9iAD3p38fMO9BDzltJ0/SHdMo7vhVo5u+Qx/Y9zIG4qbPdoUa3p+QeZcgCP9AuubajEYDIyOjjI8PMzs7CzT09NkMtfuHPxeQ2trK3/2Z3/G7bffzh133MG6deuQ5bdvp76nLd1fpWVPPp+np6cHQRDYsmXLVS3Zd6INe8fAKEazA+1jv82uwzN0haeJ5/Xgk0ctYCadwGHWxXOMKTdlRTuAX+Aky40VKvvGMqQwMeyswJZLcs/o6yTqb2BeFNFb4oJxXTX9M1YCikK0ahexP9lJWF05NllN18hVEJAEgUJJZL6oFnvvWb6+dqlUVhA0bug7zlz7TvoXChg6d96HwQc2Zw6jWUUw2qmMz64Q8n686Q5Son4en+17FkEz42u/lZDRxmjVJmrGT+otwIV2EGF3uJfnC9fz+FQTnxY7sSUlOppivOyzMZ1XqBT023POnsbrdlMzM81ffMLEZOlLGG2tNPsOIad1WcO8ZMQmwLxgRMnlCbmqCMjFoKqctpbjGJtn15ElV8gZi5eBqIGPbp4jOZOh9+dh9lXo4jQ2k0Iyu/L+sAkCXklEMaYYTxrZrg3QW7cdNZenKTJO0fQ8fyA/zt+veWTFfq3JeTA3ooi9ZIw2ehzlqILIxrnznFFyzBc24vUPMVfUSLt/iGPF7ZyzeNkuiIiayouV2/SMBcnIP7V+kIB5pQZEt8lNk1VPbYzLVsaLVgqrFxQXcuP80n1wW7SAXQenyJpeIGmSyRjMzFoKebZ6QZw7kcEoCVg3b+IfOis4mRnjK9lz+PNeHj0yTkuJixsbyygrK2NsbAxFUchms/T09JDP53G73Xg8Htxu93WdLb6ZRfpO4vOf/zyf//znAfhf/+t/UVlZeY09ro33NOm+VcTjcbq6uqiqqrrmoF3PjsAXkXIVYpoZZ1oRKahQ2FmvE26JcYxv7J0mHJfZtfECdcY9AAT8Xo4Wt2M1avTMWkix9HsSBisTtmIM0z2cL169uPzR7EbwANmlXEqjoBPtcsiCgKKBqzAOIQczisr3Wj+4Yps2g4GwW2VGUZAEsBdmUIIm4iqEIwaIwJyhHC4RWbtIuADhUhttI+MUdD7NUP0NjFV2YI/PU+87TNxWRMxZir/IxIeH9/NY0x6erttNkyHJ5tYYxyZsTOQVPCaQBIH6oIOM0YIIjNo/Q63WTE4VkL+0hb5fGigIj1MQnqA65OOEtw3BYMBfUEvh6UP41+siN4Gjs2izuhUofaGDamuGubTM06NOPlofYX1VlH0LwzwfW5nKVyEJNCxUJI7lLIBC0/o4x3pyGHIChZ9ajfZPB3ilcstl1743neGBicNIap7h2h2ckp2UJgPM1t9ASrKQkYz0CiZuCXQRN1ipSMxzpqhZLyK5qEsMi4UulyJicvDDVbow+8niNkwL6W0mNcs9U2/wZOXNnCxqZdfsOTKCSmfDWualUlYlpjBnY4REIy97lsTTy9PzzBV4SKY1djUWAUV8M9+G2WChrVTFn1gKwmqahtVqpaSkhJqaGhRFIRwOEwwGGR4eRpZlPB4PHo8Hu93+nmxgOTc3R3FxMWNjYzz11FMcOXLk2jtdA7/xpDs1NYXP52PNmjU4HI5rbv9OWLrRylo840MMnn8DpWRJPnA2W83H77v4yYuaS5AY14Mci00NMxpcUsZ5Mbn+WriUcBcPB3TPWlhs9AW4UIkgUqBkSGsy/rIdRBYs5Yhf9zlb0cghcDF0Z1ByNEQn6Cuou+x7nnbfxom1YZrnfTSOHKF4rg9f9RasqRCt/S9xYMu9BLyF3Nh5hh0xH4ec9TiTw4z9LE1NgUwXeQ4o3VQWV1E968QQtfHd1gfYbi7AgsZYt0p/xApemPc2IcUjJAQNRZQYW7UGd+wIsfDrrC5fS/eUHae49OLqVyOUykY+VLt0nW231GB+MUNa0s/V4MjSkBimT22hJD6PdWKC1NrNiy6W1189zqxrDV5V4fxAPX0baxnT9Ot09+ghIkY7h8rW43OW0+uoYFOmj1wmQcBSSoPZxl/N/4RHyj4BGZUTxW2cKG67/GL9GiR1USciIxp5svJmAA6XtLLe38ULt9yFaqhncDrBVGUzogAzgSRGAQwa5IB4USl2b4K8lsKaMtN6tpM3StaRVDU21xZQ7FiKP1waSJMkicLCwsWiokwmQzAYZGxsjHg8jt1up6CgAI/H87Y76v5X4UMf+hCBQACDwcCjjz76tgSvLuI3lnRVVaW3t5dcLseWLVvesi/mepOupmkMFBdTYjRR7htmqLyCxFU6RFhljdJGGHqTrDVB1NDUqz+MoqjiMCuoqkAsvfKctxTlEOI2jl0hZSyy4N4PSSZCyzQRSiURryRREJqn6OUnMQ/1ks1G6f2tP2eqoOyKhHsRE5KbidL17CtdjyWfpiI2T6Csg5a5Htr69rP3hl3kJAMdU13kCpIcK26nZPwIxhIVsmBPtxCZ0OhUFQR3PUX5FE5RIK5CJGxhudSrYnchqypkciS3VNLYUMgXuZnvHtCt77BJT80Td9dS8Fs/ZiohMPL0V9lQqLsnBKuBL5cc46/8ek6uYNAIuksgCLKa4I09jazP+pADFZAH0xEDyh0iax0jDMVWMbbAxvf7XqM9pBdsyFqeA+WbeLFqOw3RSSbjUXBreA1GPl32ac5krnwfXIqLcpGOXBKzkkVSFQyqsqLKr9BhoHqki4jRvqhFDLBn5hgvlm7l9dZ27OWnmZkLA80EIlHyioRDFGg3GTmWyYAqkMmpVOW8+LNRlGCU10vWoYoSs9E04WSWz25dsrivlb1gMpkoK9NdEZqmkUgkCAaD9PX1kcvlcLlci66I6+ErfSfw+uuvX3ujXxHvzjN9i7iaTzeZTNLZ2UlZWRnV1dW/0rTmeroXNE3jldlRLsh5SisqaBkb5VwowCcPvMI3tmzmyRN2Esk8Wzf9mImkj7+9+X/S5riFZ//zJwxuuDwhH7gi4ZbPd2EobUfJJVEySSKCE0SJddYxEmI1gwtdWbS4hiSufKHIap78JboCBli0ZqP5PCFVRbW5UR74PBZBYKPJQKEgUJ6K4hret6KlzdVg1BSCJieDZhcn3LVIah7PUIKj3naaIqNsmevmWHE7L1Zth/jS+GuqwM7oKJt9hzm/4SOEZZmTmRyTeYW6S2pbV9WGONtv5/X+Qipf+ncSD9/JTFS3zAadleQFEdPmCpS5CPbVdTS4l4I/4zN5ZktbYaFwKxc04smGmDPCZLEdUdAQy4xUWMIMDbhJfuE+xEkNscTI0PBCI0+DTMky3dk1wSEOlOvR7h+sumcxh9YAGBbG0R30UT92gqxk4IXKbcxZC6mKz+i/yV7KF/qeoeQKecWgC8z/zYbPAFAlpjEpOXyOckxKloxkpDU0wqbpHnoctQwUrGN9PkIspqcC5hV97GoMIuHCEdQJnUwzGY2RmRhKXgBcIEKVJ8nR2Si9IxkODAQW2/f8KiljgiBgt9ux2+1UV1ejKAqRSIRgMIjP50MUxUVXhMPheE+6It4q3tOkeyVc1L5dvXo1bvflwtPXwvW0dFVNI5zNUIRMrr4Zw8gwH3lZF7KRw1lCUZVWr4VKRxWB7Byz6SEimTDGnVsheY2DL0N5pYetPS/ijk6TNYr4PriLpno4G7Dw3ELhlFPOEdcMDCaXzu1PO3/CRPVmnilYteh2gCXCBfDGJ0m7qzEZVazOFH2zVgT/CO1z3RREJtEAm5IlcRX5w4twZmJ8cuB5krKZcVsxE/YSjnvbOFi2noOXNHIsk0QKJYnhXB5UhW1jR0k4S8kabVjRBdqn8gqVsl595xh4jZS9hoCxku3lcQ5PWfiHis/BsqK/rGTkyJot3Gw1curpR9lTEUMW9ZPeP2Xj9LyF1LiVGlucD3a9wPcr76TPqJNLZR3sqQuQz4vsn9eJs2/cggq8MKx3xmg2yBTLEoq03NGtE8fWufMcK14pCiQIApsbBvA8cwghmyUvGPlC/15OFzXzSsUWNAQ2zffgXdCwOLXjIToOP7HiGFM27+Lf5yIiWska1vkvcPP0KV6q3LqoOrZj5hw/tX2A+JSbWGJlcMuvJLHMVHMxIAugXCJ4lrCL3LzFRu9whjXlyyoU30aeriRJiyQLehl+MBhkYmKCWCyGzWZ728p+71b8xpCuqqoMDAwQj8fflvbt9bR0JVHkI9XN+Hw+DKUrXwBnogLFThN/uGc1vxjfi6BZyEdu5PSMSjqz5DerHuslU7eaWWXlbyo2CMzlNCy5FHvOvARAZj7I0U/VUuQxk8zm6B5Z+k6PYKYvk8csCLQbZRyagkFTGRYEMhp85PjTrDKEeWnL5ziR08moVpao8jZgzsQomhrB3TWKr3Y3Y5qAxexhylV/xd5szYKK1QzG488xX9TGcFk94/ZS/mndJ2hKzpHJphixlayQY1yOgtgkFhfc1NvN8y23ccFZRqaidXF9lSwxr6iknVFu2zJD4PhxJjsPEir7C+rKVPrnNQK5JUvpYqv1g1IrQwczNBSnmI2YwKBQ5cjTGzKRC5hQVYHN9TkulN7GruPjPF/Yol/HYzEOD9aQFcxM5fKAQlRYqtZrMMiUyBJoGqVzl4vdLCdco5Klou85/A0fwPn9l0AWOd90G0Y1S/PoITr8/VTF5/iPhts56W3jpLdN1zs2WFkniroLZQEHS5deVhoCn+n/ORVJPwoCNbFpegrqCZqcOBY6TJwNX55NMJM3s5xwl2PTXA9rG2z8TC6k54I+K1jejv16FkcYjUZKS0spLS1ddEVMTV3fluvvFrynSffiFCSdTtPZ2UlRUREbN258W1OTdyKQJooiyymzc4eTTzRO8I/Pi3zpx6dxVMwiGXL88ePz3NjkZE1ZGDkhEzPamC2rZY1RYHYhL7xQgDAKczn9AfJkdJGVvspGssf3UvfxN5DLXuS5//NfGM0tnYcvp1BmVfjwRh/nTrUAImFXOdmMfuDOts00DO3HKMpctHV9eQXb7AVunzrOpNXLkcIm0rIJn6P8smh6Y2ScQZdu9fVrIn9w4gk0TWSvKCED5bLEWB6O2SsWt18fHaPLUbmYzA+wPjrDzvEjuLMR8orKa7EQrzmaKC3xULqg52gXRbz2HH0hA1tjMP+FWxhPjdMYj3By2Ekgt/L6/W7Pz/i3NQ8QQSfK1y+4OHjBjdmgUF2QxeA3kVVFKmWJuUHduvWaIjSHffS7azlsq6VlxkddYorwqi2QX/nY5DSN0m99mabNK19AsWXt0O8ce4MxeykjjgoioovUZDevNN3IbEEtaUWDwCxPbvo0hkyerLzSYBhwVUEUcg03s2viLAXZGK+VbVhslHkRF19iEhq1MV0Mx+coY978qwV/KlwSt40dpWKqm3/ecC8CAse7kjhMK0n7napIu+iKeCe/43rh1zHQ3tOkC+D3++nv76e1tXVxqvJ28E4UR4iiSCix5D9ceziKOakyMKVbDYKgomn6DX1wIIqcSvE9/xG0u5phYwVnT5gxJlUs2SSPTBzAEguxv2ILp70tlKUCnGu9hddaC2HrBlA11AwkpleeQ7MQokQrpr9nSSgl7K6iMjLHOWDYWkpOMqGExsFayqrwKBfcNXQXNtBdqIuwiAv/lt9mTlFARmDQVYVZU0kvPPjfbfsgX+p5ioTLhR2V4CVDOu2qYJCqFctWR3zcPfwqGdnMcM12ZkpbKVRFxnN5WhNL0/acoFCpGTiTg8F5JzsboSbdzOBMgv6sGa9JZa3Rz76YninyWOMetjVGeXHQwp72IB5rntMjDiZDFkbmLYtZHpVV59lY6eaNU06K5gZwmryI9hzrjr/AuW13MWYrRQ4kwayn/LUbDcwqCuN5hfpNG2hiSWVszlzAD5rvAaA1NEJ9bIrnq3cC8Hz1TgRNxaQq5EUVOTxNQTyKR3FSF5zComSx5DOcLVrFnMVDWS4BZgfDtgoGWq4iogD8cNXd3GfyMUqGqvMDOLNxBpxVC0pyb450VsFqAFWQ0HIqhXMTxNwlxCUjpzoTJNMaf3l3w4p93mlCNJvNTE9PU1ZW9q4kXlVVmZmZudiI8i3jPU26o6OjTE9Ps2nTJkwm07V3eAuQJOlXHsRr4cKon5/s6+cHywwYe1+OnLJwIwkKLJBuW6mDT21ugOePkMzkmfriD8g9+Fs4s1bc6QjuqB7puWXqBKe9LcS8jcyWaSBkqZbN5M+dYti5slTxznY/a8vTHD6kEU8akAUwmnIE3VWYInrQJifKvFTeQZdVt/QuuFeWvALYRQEDAoGFt7tbVEmqIlk0KmSJWtlIRtM4mcmREQ18b/WHSQn6eQmqyiNDr5B3lfEz7xoSC9kSIirqwt+b/f1wdws+0cFscA2CJuJAAUEgrYJJBL+iMJpTaDAYcIt5Dg+4aPVkOTth5nWfC6ek0p5ViE75kQoKeXDkVZ6uv5mDPn32s/9UGTWCEU0T8Gga/ZqeyRFPJnFbJ7H9/VE2eurwhMZIVVRgU9LcYZyl5eSTvLjuDoILhAtQmQ5hM7vwKxpzdRvBp6uX+exl/GxZK/fegjr6lo3n5/r2UpoKLCYCHl57I4VaiOYzp5kzmPlxkUKrazdzFg8d871siIzRt/ouOiKT/MJ+ddIF2JupxSio9G6uJRs2ETXa33T7izDIIiklT6MnQl3UhiUeJrK6g61mN9/p0jUnbmsuWrHPO026ZWVlDA4OMj09/a4NrOVyOUZGRtA07S2lpMJ7nHRLSkqoqKi4rhdEkiTSC1VO1wOpVIqGC8f4gXF0xfLydIaPb6vmp8fHEYQ8IPG3D7Rx/7oy0iE9eOJAQ7n7NjaceZk32h6ialn3V1+5/vClZTMxy0IDy4M/IxisJte2NA3cZDKgTnkx14/gMyYZDxsxAi5VJW00EqtZypLo8qycHq8zGsihMZFXiKoaUVUDliJuYVXELgisNso4Fh4+qyDQZJAZyOUXCRfgtskTdFZ20GcuREAXllE9KW6KDbE3sxqDkqM8Ok381QxOhwiOAaKOEmxGneSSKrhEyGuQ0DQ6szkcgkAyJ/Hjw2WEVQ2nKLBWFFjT+xw/rdxBYTaGIkqsFlXO53VLeSylcUNrEM2Y4yfnlqbdf/T1z+P+xy8AUBQcAVHgfKnuRz4kVuIsthM0LREuQMA/SmvYR66gntPeVjbP91KRmOOZwHhtZwAAIABJREFU2hsv66u2ffY8R0vaWR0cpiwVWLFuR+fBxb9jFRspL17N6VyeslSQlGzi+417uGH6DAZzIV/qeZIXqrZftVgCIKuJEL62EWIwarqgOzA9NU7MbGfHhvNUndbdIuOmVTR4E4vbO8wr6eKdJl2DwUBNTQ3PPfccgUDgis/5yMgIqVSKdevWXeEIK7ebmJhg1y5dlH9wcJD5+Xm2b1/qiBIIBDh79iy33norzz33HFu2bKGoqOhqhwT0DCVN09i2bRs1NZcbKlfCe5p0LRYL+fzlvaXeDq5nIO2i62Ot0446L+GvLKB4bElM+idH9W4LgphifXkFd64p4Vx4noHRAR4B1H3DtACBqVmS68yLAZH+hpuYK2lFSGVIiwofbwwTyEg8u/Z+UnNLAZ4Pbpgn0FdJKmUkEjHjXLCmTRLkMzliXP3B3GAy4FhoX3ThCv27YCHQJkuLD0PYlMWdMVKfjZBPpRixLt2wh0rWkTKYKRY0aowmLKJAWsrzYl4ntg1KgrHKjThjs3j9g5TN9gCQlc2ca/swWjqIQxKILxxTRCO2wP8hVcMmCLQbZFoHX0VKR5i16q6mp+puxoJAs6jQo4qoCJyJCHRPLRHu57bNkn/sm5wYqaCh+HXKLgmGvb7xci1a0NvsnFhWFfjDVXfTGBkjcdGXu1BRtmf8CJv8fZzwtmJR9Bd6wmAgv2YVrtPdAKRMFiQVZhWVoYU86WmLh+kFWUlvJEDb6CkAtobOvynpXgu3t4codGX55bQNcVLGGU7xeWGSZzau40JiI2tmXyZhKSBtdjE3GkVAu2Kftf8Kf6vVauXBBx8knU5f8bl8/PHHURSFz372s296nGeffZZIJLK43RNPPMGpU6cWP6uqyv3338+jjz5KdXU1Tz31FLfffjvr11+1684ijEbjrzTTfk+T7juB6xFI0zSNkZER/H4/mzZtQntlFtA4tVsit6+E+yYvNo/UMFiHcTlzeNzr+dcLx1kzMs4jnUsyfHxxI33PzwPgyCbJy0YONXtYFQYJEDSBQEaiWFbJBZYufEab5c8OfpfP1Hweb7KO08drcGsaZlLYYiE+1/9zvrbuU6jilevjz2RyFIgCIfXyPGiPKNJokDGLKx/ElOajY2CA8vlxepvuXLHOpeV4pO9lxlbfRW5hP0vURGYhP8nkLGbMtaAboKmYU0HijFAeDFCSDpFEYH3vL2iVjHSvfoiMtLIGOaFp2Of6OGvycKZ924p1aj7DqKqwIzLK4aIWuqeWIvBOCQbPVaPE5hjNTLMpMExOMmJQslfMYb4WBl1L0/+KxDyT9mKMao68IJKTDFgWynRtuRzJC0MAjLTuZKyoCctQJ68WLWVplEoixZkInbKDpMsNCx2QLrbk+WLv05wrXMXxZcR/LWxpdLKldpRBfxEW1UJa0lAMCiVz/awfX8/JgnnK/GEmyjegohIJOPmzzfDDC+HLjvVfFeQSRXGF9OpyZLNZCgsLrzm1b2ho4Ec/+tHidnNzc1RVVS1+jkQinD9/nrvv1kuqZ2ZmePjhh9m7d+91URZbjvdJ9xK8XUs3n8/T1dWFxWJZbPuTNpsRVZVbH58jtKwL7IPSNKGOUdor/oq2UR+b33gOd0Zh3JSh6mLa2E+7qVFc4AWp2IEczPLRgy8yVH0zoqkYVIHxAyMcLNiELGrUl8e4MO7AJJSwzfEV+oKQlRUqDTIlgWF2B8Z4oXoHB2r0G8mdSxJeFmVviowz4qokz+WEWyyJFEkihaK4NNXTNNzhCaomz7ArOkXaYOSnLfcxZlnqLydrCh8bfJG02UVuoaNw1JTFmTFSIWnYRWHl1FEQmSiyM+6qp7uxjqrHDtG99Q7Ot9xOQWSazwy/QpejgsOla1f8vpdcS4GejvleZFXhWEk7LWEfPnsZJwpWBoIAVtlSdEzt48VcHRMF9Tzfci+yWSWuiOSFlY9HrSwRUzW9WGT5uKSCi0LnF9ESGiFitOPKxPCmwqQWyouXt/6xxnWrt6b3MKcarfSX6FNkd3aObekULleabkHPUCiMz5Aw27ClE0wbirBrSYrTYdrzcdb2PsNztbuYsly9p19z2Mek1YtzvAu5zUEoZSYjZJAxk7HYUUWJ+rGT2MxJRA2Cnlp+OT7HH94swaCXP9/iRNO0y6b4/92+1mQySXX1m/u5ATZv3szAwAAjIyNUVFTw+OOP89hjjy2ud7lc+P1Ls9Ddu3fz9a9//boTLrxPupfh7Vi68Xiczs7Oy3R6s2s6CKYTWPIzmGfnF5f/naEPTgAnVgojVy3L0yWaIebWicp8o5Me8Xbqho+xpueXvNb+MOZ0hnDAxZRg4qFNcxQ7s0SSOSYjAc5GnuHmko8xEi/HLYmsmu0FWXc/HPasASAsrrQg5s1uKpN+FEcJUU1b1F8AaDTIyItkq1IUGKZq8gz2REBX0GrYQr+nncH80j4CkBckhqxeDIW6z+um2/rJZSUOH2ykwXjlW7DJmuPuZj8WGU5/YQvnuwTSTV6GAw1EVZXz6TSedIRPDjzPty5R9gI45V2yGM8VrqIqPrPY4WE5TkYt+LVWfAX6dL3H6MSiaKSuQCa+/JXvi0sJF+BDvgOLf6eNdiKy/rK96F4A3Ts+5Kzkpw1LHTE+PLyPVZGxxcn8eFkHYvFqagMzCEDUYGXKVsxNU7qrISfLlGWiODIxeBPS7XfX0hz2sbX7JFrrBuaUUlRBQVEEBCnPRE0d1SMDWDIFKGYzMXsxX942hceToHPQhl2xMjEWo6rGedXv+O9AKpW6qhW8HLIs8+1vf5s9e/agKAqf+9znWL16NV/5ylfYtGkT99133zWPcb3wnibdd+It++uS7szMDMPDw1cU1hEsVvwVTay1tTMf2IeLt5b0nZPBkNcbQgK8fKqYpmIjQefDlIePYlQzjBmdqBUFNDNFS1mGQEbmSzujPNHfzcnOYb50g8I/vqpwJp3ldP3tb/p9Xz73I0wL/tuB+l28WNCEJGhomoAKjOTyNJmyVMd6KL4wgCUdJWlxc6FhN3PeJjKCSM8lug7tRgOzsSDPV21no1kP4r1+vAo1+uYPSsjvYKCrgljUTDgjAjl8szZsosr5TA5ZlFhrlJis3cpv9T7F91offNPjjdtLL1t2v+81xk1uTpetDMKkBIEbHvsmhz72RwD8H+d+xAWrSKT+XhoH9vPUqrsJigZKB8/gaN2MyxvEcmqIebN7UYti0lqEI5fUO+mqCn6rXj2mIZKQzcxYCtlfsWkFYX8weIHmyBiHt3wWUc2Dc5pRvxezoHBkdTs7us9zYcF90RLWA7M54uRE+bJc3OXa8hfR764FQPm3M+RudIC3BIQMkhxlZKMR15STw+4WXAYRBIH+bt3KtgNGk4TVdoms3LsAyWQSm+3qnTCW46677uKuu+5asewv//Ivr7jtgQMH3u5Puyre06T7TuBXdS9crIRLJBJs3rwZg+HyG1MOzLHhBb2E8/JHfyV+r/Qs2w1V3GiuxDoaxSWaaI6M8fDQy7xcsYXjqo1CIc9saQvTUQFZkyjRojxw7hUUQxlz21YTzko81LyeXv8oVqPKAxv8/Pio/s3tosbWgZf5eVkHc9ZCqmMzi8IpMXc1atKPJR1FDYwScTXSaDAQVlX8isp0XuG24f1UByeJ2bz0NH+AgKcWBBFF0+i+goCLE5XG6dM8XXsTvYrAOplFwi0pjTI7s2Q5bd46QuhYDF++mbxsIhiwY7FkWVsX4GynizE5QzYjIwuwxiSjUkB134tYMlFuiPdxyN7CXfQxHDJdVYinJeSjr6AWgGdrb7riNk4Zkp/7EvaMgFEQ6PP7WetxQ+eTTFmLCAkyqJNUbqzAmpMwpk3kq9dRPXJ88Xt/0HzvFY/9dN3uy5bZcinune+ipFWGUTDkM6TNTkg3EjNkdS2MhQq4fncNrlySooVmng2TurjOp0b2cWLtg0QFA1E0shaJQCpD9hJto7/e8Fm8qRAdPb1EW61MqcUYJCdGUyPfa+kgJ0pU5FM0AFlVY++IH8lh5K/uXfXf7kq4EpLJ5FuydN9NeJ90L8GvYulms1nOnTuHx+Nhw4YNV70pBbuDpN3JjGLi3+RODrp7+M7sJnIGkbbf/SbZf/kW9oUW2afMfjZtvpsDQiXJKjtZl5sbDPN0KH4cw0c5E2vjjKOKYMS+ePE2b5jDYCpDOzZBczbPvzRtx1it8ZUd+pTJtExNYSSfZ4OSZ/f0aZ5ouH2FUpUiCBxd9xDFk2d5xqu7H7z+IYZc1YAAgsCPaj6AoVold7GEN/3mOc2ns0lStTchaBqWZWW/ZevGaShKMhIzYE3ohDI9bKX28It4nZ2cbbiHlMVNKmVE8SQodZuZDJmxm3K0YsUiCNT6jmDJRPXj5SUswKlUMffHu7CVrmIoESMsr5QQXKVN4Y0Fed2xkZbMENGzZ5ja+uEV20TzYJGdaOQQcxm8T73CwIfvoLbAxd6aXdjyadY66pAXSo2VvEh5ZZTSU0MYlRz7yzeRNFgolUQcAthDY5xxrNRxNio5ts92YVKyrIqMYVfSDDh30wIYcknSZidxVSWpangkkcbpFHlJYt7sxpZLkRMkDNrSfbq/7UHcsokCwCZpTNkzrE2NcOvZ1/mXtnvxG5cs4XlLAS9U7YAFIaRgVuLViAmXWSGRUVFMuuXYXxqirBCUTJ7JaIpK17uP3H4VS/fdAumrX/3qm61/05XvBlzv6jFN05iamrqm2HkkEuHs2bM0NDRQWVn5plaAIsl8fdLAl8c8WJun8SvDrE8XsF7xYmpsx/zGqwCEbXbSO36LvNBAWnOhWCwgCJR97wkqProOd1sxsrUQc8zOxDL/4tqKPN71uktDOzZBy/QE/1nQQpsnh1HSGH4jTH++lG0WP6GkxvHi1VjzmRWCKQDDJjcDgpE+21L3gQmzm0v1fNVfweIpzCTYPttFibeG4mXyfVrCTDBhxGvJE4/qpBtN2jGnIzhDMxTNXyBh95I2OzmRFjBJKvmsyCMdfqKzbrzzF2gYPUoIAxZUgq5yAqKRaXMBmgouq4uqyTMML5TKSug+1D5rMVlrBpvDRlBy8WPLN6grHSARzmCS6yhORymz2HCKAtOKikgee0U5kVs+Qz8GhpyVfHhkH/ESXZdhzcYRmtyjWJ8+iimbpTQVZG1omNPFq9GAT57+IU/W7Fo87/X+fh4aegWrO01tbJqWwBhmNYeoaXp+MDDhqeM1MctUTkYUBGoNMpXhUSypKPZ8hjOFTcxaC2kNjSACcdlMeCEwOuqK4cwYqJkNsvXcKxhUhfbAEG3hETwWOyPGK/tkzaYYDdX9zIbKcEkiBaKAxZrFGZ2nYm6a7udO8HL3LMOKhbYyB6IgMDU1RUVFxRWP91+FJ554gnvuuee6VKNeZ/zfV1vxvqV7Cd6KpTs+Ps7ExMRi2/Zr4dR4lB/3pLh5VRFfv+OrfHDvSUYNCe5KaCukRtyJOEb58rd21dMvMfCpWlo71vJq/Ckc+fuRcS1KkP/sVDFVBWnu7jBSeG4aSyjObz/5NCO/ezONhRpz43nwwrYTL7FLUdhfvumKotlhs4u6fIKRhd9w13w3mWxisY3NinEC2qxBYlnvVQNMddFJPjaki/Ek4lPkJQOKZERZ+D9jtDFeuXFFp77Rqs14/UMYlSztPb9kqG4n0E5dwzzmBj++njLssTlWDb5G2FlG5oHNaD/+OTOCkQmTruHQ6allXaCPU+WXR54FzYRhKMHmB8I8daaEe6r+hur/+CUjd95CRTJKTYGHEUeScNRGHg2LZCa9/S4iikpnUTOb5nqoi02Tn+0huaqOmf0h7D2nQTTQtfpe/GYLu0//J1uCgxzyNPF36z+1dB3LUzREJRz5FFt7ewhIOZa330hLRg6XrOWYpRhFBaM7x4bSHI2aAD5AECiWBO4cP8Lz1Tv4ec0u7h89CEb9es1bUwStWRqmptnQtX/xuGY1R2kqSDod4ZEdVh4/t5KgDEqOj3QfIJXK0Cmuo2Kmh+1TJ5GVZb4JCYiPcf8+hY5qFy0l7w7rMpFIvOcs3XdfQfN/M97MYlVVlfPnzxMKhS5r2341HBo7y5++9F28tjj/74Pt2E02vnHTdxg16JU+6uzEiu2lfJru6efQVJ3ITHNjiIrC3tf3ARDKRjiaHiQPrDbKFCzkvI6HzPzTgQp+sfUuUgvVUHWPvoo2ECCvWTAqWay5DEY1zx0TR7lFWdnAEMCWS2JK6vmYm7MJBqo8bJvr5rd6L287rQBdSc8i4YqauhiEW5PSXSUdgQEAEjYXKbMTTZRxmyM4YzOUzvVRNX0Om2VJryBpyBOx25go0zMPsjY7jSOHaBg6iG/AQ+/JGtRolvaB58kaLf8/e+8dJdd5nnn+bqqcq6s654juRgNooAGQAEgCYhBJkaICJUqW15bWY8mjsbyyVz72eMbj8R7tmV2vtQ6ytbaVKcmSqUhSZiYRCCKHRjc6obvROVd15XjD/lGNDgAIBoEW4dFzDg8LXbe++917q57v/d7wvAw030viYghBNyhesRKhULV2xtVMaTbKZlOB1JpMMnZHYX6T1Vv4WXfBytdiJVy+v9ADa9rm4rWsyuySiZ5cnqwBS7rOWKqXS0YGTy7JgZnTADSOHGbLM9+ipe8kSVcp5zofYypQxLeSSQ7Xb2PAunEX8Z83d3Nnz1NcthayF+aL6vFrhbmpgsiJQBt/3/ohjgXbURwqjso0Fn+OsGamoXkBpMJ97mu6g/pchN1LA1z01fN8+S6yK2l4gZSVbTNe2kZ6r3leANlcmoPD11q6n+37IVXxJap6C+lsrkxkI+GuQwSZgMP0rhGiSaVSq+I4twp+Zem+SaTTabq7u9+yMPo/nn4G0fdTdN+TfPHUER6qe4RdpbexYC74GuMv/gjfuu373aEYqaI9CCtFC8GLhdSghXSccCbDY40f4auzRfhM4Jck/JLEKXeE9LQAkoXuRQ/dHb9GW3iEstQSpU/Os1SyFXcuuXqWJV8NOVsNXBX4sugaQ85SiiURq9uHlZVqqEyE7UuDnClqpsUm4kilOX1VNZsoiPhkmVlVo5YcZrNCsZ4lZXFztuOx1dYz+7ZfQPxGN6qmcKGhiMQTX0d4+PeZcaRYdifZ5s9Q2umFv5dQi22EhBrKRnqwZqIMNh5ga++PUTJpcmY3u099a/X8DrWgltYZyHB2RfM2b3FiXTlvSjd40BvFaIAnzvvR9DdPGClzHemcxG41tsGPegUX2h4CQUQ08mxvtTI/GWRJXZPVbExNI/ygm7IWJ4uvHQO7TNbiwQAueus4WNpJ1OykLjbFgZnTXGp7D3HRjSoYaJJOX38Qj1hYJEUDIu4K9k8ex9BVTgTb0eJuruTL1I6fwJVYIGn1Yl8RP88LEq+WbOF48Wb05LXXfSLYxoGZM+RWetyZ1nU2SVpdzNe2Uj4xwLwmE9bs+O0Kqqq+K0g3k8lgtVrf+MB3EW5p0v23iqaGQiEGBgZobW19yz2SPr/zP/A7Lx5HskxzdPoIR6YP4bcUUeRoRsPAl9l4DeZLg1j27mNp6jj+it0o/d1EissJbvpvHL5kI52yIgsGRiAF4QLxyTYNIfskFYlmJoOdgMCgp5qLvo3FAE9W7aMot4ixaQt65tp7FzI7UbQ8DQiAgpJbq7t/z9QJKmQJ61yUXpMHrhpbBWY1HQQB52wfXnsRntgMY5Vdq4RrzsTg8bOQ1ehtfR+9lTY2f/cV4hiIwG80RnAqOjMJK4mGZur6+hjavId4g5/GkcPsPv346vnsK9F7gKizhJH6uwDILgj8wYXv8krdnZxzVhDL5gp+T91gbqkMlmCvxSAjZYkpKkORAtF86q5p0poAhsDE6WoEYDCvsqjphHIy1YqIU7r+z6Vy+CCTjQew5xX2joRp6jvKX7d/bPX9MUuQuGbC2R2B7dthoBstOsPXmh9m3ubHr8b52PBz1MULqYTFp3/Ic/t+E49WWDwWpi248hIgIOsCEU8F1VNneM/0KdKSmXP+RpozaXbPnadiphsDgWVvFfb0MkOuSp6v2LUhR9meT/HI2CEc+TT/0PpBjhV3YCCwOVzoE6UYGvOBJvobO1j0VyCJAtalOXLhKFVeK4IgvGssXV3Xb2rX4X8L3NKk+07DMAzGxsZYXFx820pm2yqK+HTrn/GPl34Pp+LlD3b9Di+MP8drM0fROYB0VZCqcnEBJZ/HX1EoZZ28/2NM3llERqyke2UHXRVIs2zWyRoGEuDOydD+MLn5RaT4EJrYzH8a+yl6UmXWVsQT9XcDMOoqo0dpWCknvf728b6p4zhcAUy5NJUza+XIoqGTTIR4pnQbqihTIxg0pxapDF3CG7rMsWA7r650gPhu3d2gg9nXQC7QCIAlHWXzxafQ0Jj6QBfxqWJqI2D5s/9MIixQkrDRd6qKfE4in5eRHJVUyqPUjb3GWPWu1VzlK4ibnSwEmlkq2UTOZEc3DMjksEWmkQXweMvZJikM5FRyhkF85fPlRaP0nL5MqMjPoqnQ4FOWdE4vWbmcMuFICZQZBmN5bVVNDcDmTRAdn6DPU4snG8Obi2Nd2YLXLA5hzy5xvqWT23sOkVmXMdG1cJFTwTaeqHsPnxp6msrxCf65/h5GXRW4s3HeP3aIze/3MF1aBM+v5W9v732Jgeb7SJnBtqJGZ6yIDRUtFnQpBODBiaOkZTODrko2pWNUAAIG9qURnqg9wJCnGnc2jicbJ2J2UhOf4f1jh1d3Bp/u+zH/0PpBjhdvpila0AKZqKjFuWsXiwtpFFEgrxuYZZG4rlPpLViV7xbSvRVxy5Pu6/VJ+0VxpZzXYrGslvO+XXxy5zZe6vs4o+LX+GHfy/z9vX/JZGwW5R/+bsNxMZsNVypF9dwclyoLWrNaoIxkqgghrWOs/PgmFq2wCCfIYQL2py3U8xr5sxf4gdlFrKYZPaniVNOYEgUx6/3Tp7ltoYf45/Zz5EIV56PXv5725VGk8MbOmOOOEp6r2M2i1UttfIYW8jTNduNIhlAlhWgKBJcDCwaoOTJyYXF6unoffmBHapnNF59CNHTyj3Uh6msR7+XoWhVVXtEIuhLYowtkBpMoagZ3fI4tvT9bPSYtmTjVeA9HrEEsGNyTDuFbHkfOLmPybUFXs1yq7kBVLDgoCPeMqiqaOQu6maOSl3i7THrGggh8qHOBH50NYvzNS9yvX+bMhz7PmWweCdhRliYTiTOacTA5Df1l2zfcF0XPU5SO4M3F8WbjBIfHmLb6ObeuW3Pvyo5g1h7gi9sK4ioWNcvdUyfZvjSAbGjEfHdy/rU+1kvYFC1PUjfyc8bft5VdJXkWLsUx59Ns634CR3JNpUzE4AOXD/L9+nt5svoOZko7mHDaWciZEXWNjtAlpuxBwmYX+2bPsXeum5jDRVK3Yk+FUTJJPjB+mNniIHFzwTe8eeQCS3V1YNjJ69DoNeOyyMxrGpXewoLybiDdK7/7d2P+8I1wy5PuOwFd1zl58iQ1NTWUlb19Naf1+O2GzfyPyw/QG/05f32onyqPl2pBQl7nIww7XciaRuXkJfoDbmSLC93hRI+IiCYd2RFCXJZJq2sujhzwSgh8mzbT9IUy7ppw8OR50FdyYq/oqbpbnbAI4jd7mW+oBgxKJIm5q9oA/V3rh3l04Ryli5eIKTZeKu+iz1uHI5/ig5dfoSUyhgAkbH4u1d3BYqABTTJhGAaZdJa9i/3cOXeOiMnBD2sPUGa103HxSQAutD2MMecgnVqTPezaPsrIKyZcqVEclxewL0SRNB0DSFk92NIbhVbOBds5YikEqTIIdFx8CgBVFLG7m5h1+1kI2KldMeQlQaDZLrBz5zzHX3Ugp00kVQ85xUyzKJOaCBIcH6TnwKP0qXmMmEy5JFGlSCjLZopjGd479BTmXIqcKBMxOVk2F/6b8hWT02TG3BX0C/J12w+l5Wtbje9e6GXX4sXVf58cqMHnNwPPr/7t5a2dHDh/lrJvzGKwVlRjSceuGU8xNB4dfZG/3PIJTpp9kIMSPUvzXC9HS7Zg1vK0m/Lc2R7HmDPwJNZcMz1tLZyqrsdr5Jl1OiEPZj3P1p/9E5tMVjINrVjaO8iqOhhQ4Xn3kO6til+R7lWYn58nnU6zY8eOm9Lj/gpkUeCv7v9tPvXiM2RzCsOLSX5QfzePjr6EaSXqr6gqw+UVtI+OMNr7KtbeMK7pRV76yB8jXP45v/7lrxP8xENoVXb6772HJ88XZA5zwJkRDwF/anUbrq0QQHSFdMfS7QhNTswzvcwaAlWCzoKaB2GjPyxusvPtst34fJtYsBWsUFHX6FroIyuZGPBUY9LyXAq2QKABCQHJMMivyBi6c4WMe08uwf7sElUjz6MLIj1tD5G2eZHiObyxCdyxWVyxGaRji7QYOgYCeb8bSdNRRYW8yYo5n+RqSIa26iMGOL35vcTsTi6WGcxfMpNMKdz3L89ivP+jaIAsCFhNGpHvHoLqetwRK5ezOQKSSFASSSbNWCsLpbWarPC5A1Nkozb6L5ZiSUfpuPgkoqEzWr0bQxCpH3uNYKYQoNLDg4iqStjix50JEzE7+f9aP/SG34WDZdvZuXBxNShX3T9C5dSZDcdsmr+0+nq9HXeqs5PbTp+4Zsy4txKHmiGxQvJCOsahsu1Ux2d5/9ghDt/zQcSuKk5GW9h+6uern9vb18vevkK2w3lfI+PV5ZhXAmnmXBrTUDdC3xnMgIj9XeVeeDfM4e3glifdm+VeMAyDoaEhEokEbrf7HSktLHE6MAtuBEHAnIox7ijhLxvu4/eHn8es5zFH53h17z6ExAQPjycZkyKkLs9iSDIX3WP84D4bn5Mk5OkM6r88C02foMSioysqQ3ET80eDbJs7CcXBVUs3upLDaRYFFnw1nLMW48vEaAwNMlHexceGn+PF8p0sWr2Iho4uiKiivEq4ALoo8Ur5ddSWrlP268kJWofvAAAgAElEQVQliDpLiJvslE+fQ1AEcns30Th5HnE4jCOxhLDim8wpNhYCjSx7qlj2VKDk03SFvo8mKWQsLpYtlaQtLurHjgGw5Ktlqmon5Nf0fc+ZyxFNKrqexOvK4s3rFLttDGk643mV3RYTuazEVMujaCmDgZyKIgg0KDKCIKAZBguSDQyDYlcOjylL2gOLmsakYEGv3MX26TPUjR+/5lrFFS1n0WRGyhgsWtYyFkxajtJUCLuaps9bt+Fz7518bUMWRMPlV7kapbNxNKsJKb3R936FcC+0PbRq5QMs+GpJSmaKUyHmbX5m7QHawyM8NH4EEYMHn/ku2jOw0UGyEQcrC7nb37nvXv7j04U0wd6WvZSVeEl2n+e5WYP730XuhTcrdvNuwy1PujcDuVyOCxcu4PF46Ozs5Pz58zdNyHw9FNGEWSxYz40zfSyWNTJvD/L/bPkE/3v34xSpoMoyX6rJszt3iU/TyPn3FcpxZ01TPNtl4nOThdbudrmgYjadziLnCo8xoUPWWLFEBJHITJRQha+QQxuI0LNkJiVItCsiJ4NtlCcXqI3PcNt8D0/W3LFK1OvRudjPRV89WcmEBBRJIlXpMPUTJ5nz1zETbEHDYGSlGWS0uJkZm5/Doh2TrtJQnKW9u5u6heFrxjblU5QsDFKyMAiAIRVsuksNd7LsXVPhF3Wd2okTSNEpWO4HR+Pqe2FNR42LEHMgCAaGTSD0ngdJZXTyFLIqhLyMnNWYIkvaENhmF1H0wrlm5DTpjESlN8PksoVvnNmMTVxkMKciYPCKr5lIcSslicts6X8Zg6vr88ATm2HJV8N8wwE+NPgSRZkINjXDiWAbpwPXFqG0Ll8mL1tQ1Bt3KLmacNcj5ixGEyWklXxu10wPRlMV8+sWy2FfPcnpUzhXgmZvBMUuQxrCKYXv3H0vn3jxeTb3HuRLtk+SKd/Ht6en+aTr3UO6yWTylksXg1+R7qp4cVNTE4FAwVf4TjWnlAQJi1iwhjq1JR6Xt62+v2TxUJ5aQswlcFqK+YbneUaVJPeKn0TSNbbMx+nxFRaCEyVbebmsEwBJsCJqs9zRLrL54BlGs4XUoCMlW1ls+wBxVUUXRA5PFiyCalkipcvEFQsPTLyKADTG16Lm1bLER858k79t+whBReA98xd4z8xp+j01HKvoYh4LCyYPi+U7uH36JD7FhC0dYaRoMwgCKauXcHQevHWYZYWekJme8n14y25ntxZH1lVOTH2DjN/JnVoHNjGAxZKkMriMljYILTmJutb86AYqrn/9Z2ivw6vlafjqVxn43/6v1fdvs5gYifVjGpkjVFxLwmnGZC4lt6J4q148SunJnzH6kR2Mi+9na0WSe9uWOXakDt0b4/KMhRZPnge7FvjL56uYXEgBdqrsGjWyxGuRHN26gB8bMcXON5sepFEKcftYD+7Ywuo8bOkoO3p/iphNcCLYzqnAJnKSiU3Ll9k7d54Fq2+DwM6NCFcXRURdZz7QRNxXQla00db/7IZjBMNAlc1IuRTLjmK+3VhQz/Jlovza8LNcrN3HQXsZ32h/lE51HkuRCyOpkMkMUD0/RdVCYe7Z2+7CfOwgALXTM5zzOyl3uYhI8HJrF2V9A3zr8AhZUabIIjI7PYXP50PTtHcF6d5q1WjwPznpTk1NMTk5eU057zvVhl0wBKxioeDAnU9Rnl5iXPfzvtGvUJ4tkHFtVmPWUuhiO1dl4vIl8CfD/H5yB39lHioMZl8r49zf8yTHb9vPwMko51x7iQQKFUcD3hqsBngliXw6utrmvGqmmyPBdgBCZjdjZWUsOte0FlRDZ6JhD3dJKimLj3NbPsSWnp+wJTzMlvAw52rvoNvfyJTVy/ca3osnG2drbBGnmiGuWDmvCYT9BUv0SghMASyyQnCzxOWRYrbv2EtHRRFG3srxVwvR/Sl7knzehlAKhlGwJf1FCUJLdtJ3Pwhz/QCU3LfW0wogJ+vEW4qhpRjDAHtCJhTVCz5mYGxHG+quOgZjVpyCyu5NYZ46X4Zdh/NzZpyCQGdNjB+eCW4YdyIpEVEM6svyDM6a6FUN+qvvIG6yk/WZuOBopGriFNUrvlghl+RksI1TgdYNZBvMFO5CMBPhcOk2ls0uvtTxa2wODXP/VW6GK+jd9CAdF5+ieHGI4sWh636f9pz42sozdPHj8l2rf/90/08QMShLLbEXOGIr5YIUoDOq4W9M8ly+gYGGdspzi7z3X59FPl7oz/avO3ezkPYhiBCXCoG2/tZa5I593Ne7yKmREDsqnIiiyOjoKLFYDLPZjMPhwOv1Isv/9lTyK/fCLwlvJ11E13X6+/tRVZWdO3dek1x9M/ukXT2mXSoEv6Jb6mmaDzHlLqdBLwcKQSN1th9nTSHlaDA0xZZAJRX93fTbU3w8cweniooYXffYXtn8MCTAJIMrnySh2FBFGX8iijh/EWtHB/OGe/X4K4QL8GLFLgTDwFh3D+umzhFMTGNzLJGwB4g7Apzr+DCtg8/hjs2y7fJhtl0+TEa2MOIs5Zy/mYPrUqmukLtVECiRRLySiF0Q8AeSWK2F7XKxo4znzx/mjqMpaP0cAImIwrI9g6c0wv7SFMeP1GCEltlZ2s9wJEDFCuma9Y1+5B1nnsAXUbngrWW2cSu6INPHms83kHQS1p2kVY2Pbp9lOG7GF7PSncujA04ZfnDBhyLpvHdTmPyMn7LqMK/1B4jKWQZnC5bUtGONlG2uNIpmYbJiG8HZHk4G2jgVbCUrmWhZvsy+ue7VYNt6/If+n65qMfT4G+jxN6BoeW7LLLF36NlVt8V6X+2N0Oep5edVewrBRaB1eRRxxV9ePXWGasDvqeEnNXcxHp1j57+8xGckkaRiZk5TEI21RqPDFRXoc17kvI5X9RMTo2iiSlLIsqcxwH+/d60Ypry8nJmZGRKJBLFYjPHxcURRxOfz4ff7cTgc/yZpXLeirCP8OyDdt4pMJkN3dzclJSWvW877Tli6kiSh6zqV9mbyuRjl57r5H5VzlNHBT4sU7p5TKDPymCIL2Ey7kZDZ6d1FGj/jm3cxbN2/2hzQvq4rMEBDdIKQ2bNBqDvkcKNYu1hMrgmq1EenGHEX1NPuGusm51Y462slY4CMgYqAX1HQRYmyubWUJk2UC/qu62BRM6jlHdwen+eBi0f5fsO9LK/rlhuQRAKStNpHrWPrNAvzBdfHUtbOnsY9qNVOWKm/WFAnWXJ6mE2asC2r1NSHMT0zhPnoJdZ3ADNfpQnw9fr7ScsWBEFHtuRpiqVZMLsJryyacR2mVI3WsiRlPpVgFn6iasSNgnd2Jm9gcaj4bAapsYKfPBpyUi5L3L99kSMzViIJhfGFwo/bLOvkNYFgME7fuJsvt32EnKTQsjzGvrnz1yXbK1AMDW8mxvK6e5mXFA7bSzm87ZPsXOhla2iIQCYKDT5eLfoQhiDiWx6jbeC51c+ogsQL5Ts5G2ihIjHP3dMn+WbzQ5Qn17qSvHDgXlzRIEo+TYca54K7klca76EiN4VhJLBmsuiLsRXiBTUtk8nmMSkSlqzEXz0fpiwgs/kuK6pwrQFiGAZ2u31VZSyXyxEOh5mYmCCRSOB0OvH5fPh8Pkwm0zWfvxn4FeneAniz5bzvhKUrCAJ6Js0mo4pYNoOIwO/OO/ixL0vKUk2Z0Q3A/ZNZ7pz7CZ/N70ebUHi8cQmbmqUkOrzS4FBm2ezcUOI77K6iKTJOZ2iAfk8tM/YAe2fPYQot8XJ7oVtEW3iE+vj0Kukeqt2MYYi4FI0mLOi2JL0REw41izmb2Hg/ZAN7KnzNNTX0PsfZ236DuvHj/Me+H/H4no8zkSoURkyoGhOqhlcUKJElXn6hCXFlgYv1lXOBjZKAZXIlIeJYpRhnQi4s7ixq9S6KQqOIhoaOwISjhF7fxkwAhwKya5nGl5+h6ZlXmPk/voFPEHltpYPFpKphlnXubw/xl89f6aVVWFAVoNEkY1fAGi/MOyvFsFgMNCHPP58KEsqKWAUBk6Txqb2zfPewl9FlE40BSBk6OUnh14f+lark/IZ5TRcVMXv3Vqovx5AHpvFEp8mKChGzA0XLk5cUuvIx4jYfAyvZGCeD7ZwMtuPLRGlOLWAIIq5MjLqxY2iihCFIxCQzP67dz7zNz+75Hu6aOcOllW4S5ck1H/M9Lz/PZNkWJiu34xYVHPksPc4KjqpuHLUGslx4Fg8cPcqIUkl6zoqk6MzEU/zjocvoBuzzBlhKa9iUa323uq5vcCmYTCZKSkooKSnBMAzi8TjhcJje3l50XV8lYJfLddN8wb/y6f6S8Ga2MVfKeRcWFti+fTsWy7UJ6+vxTlm6RCMkY0kcWkHNqSXnpC6+yIinkxnbNGWpgjrXQWeEWW2BiKWIypluErW3c8ZVQpaCG8Se3xiNbl0e5ZGxQ5wKtK5q5D4fCGIv7UDRI+RFD35bjqPOtXbShiFilWN8aE8M5zNjHJotxu6qoHrhwoY+L5rVgpTOEHMEmbGUk7G6qY0M4I7PYSeDkk8zG2zBFptjeoVw7YJAm0lhTtOY0zT6cyoKULzSsl25zjNzubKYDfDGZBoyDvRRibahZxENjTP+Zg6XdZKSLSjaRvdC0G5h8dwogaMXMSdSIEpoV6UQFvsWmUgr1Baluby0Fu3Wgaxh4E2bQIBLvih+h8jYjIWTKZ0rInxpw6BZNNF3sg5dyGIVcmQyEnZ7HiIiruvkE5cvLeH/0SHUXTV0t9yHrObIRucwBJEPX36B5yp2c0lS2KrneeT8t5mwF/N85W6WLB7CFjfHLG7I5KiNL6M4SikSBeK5DE9X7UE0DD4y8gKNsYJC3bQ9gKRruMQsvVu20HqhB9HQqZzpJrh0iYMtTXTWNXB43El10IfJMBHRQ2Q1lZ+V30VGN1OqLvODEY2RhcK1tJU6+OzeKs4vpJGu8xO7UfaCIAi4XC5cLhc1NTWoqsry8jJzc3MMDQ1htVpXXRFv9Fu8EX7l032XQlVVent7MZlMdHV1valV9p3KXlC9fhJKjEBmmX6nxpKhr1akfaP5Ie6YOcucw8mr1iReuQlFsHEJsAjgEQ3cosydvT8mK1n455o9NMXm8OQSHC3ZQs4QGfbVYBgqgiBjk8tJ6SHqakzMTkDI6iFkFLa1AgYGAgGznTJpEfovEdnUjEkUSRWXYJuZXZ13WrAz3nIXYW81CALnS0LE51rwhsfZNPQCW3p+TNrq5ayvHo1C2/A5TUfHoEaR2dcY4fiwl5G8ypSqYRYEyuVrBUqSMSebYgB+AouXaBh6CVVS+FHNXaQVKynZQnligY+PPMf/u+VjqCtf3YGEgVbXSqiqgYr+s8gLM8SLNjZFml7y8ZqeYXppY3qRBozkNcbzGqWKSMCdZrMtz3fjG4NqDUUZvCk7GKAgkEuaiaomsqoGqOTXtbHPCxJ/e/+HqY0vc0fvAP5XL9GlTDFZvo1XfU3ImkZVYo67p0/yL/X3oIyfQDJ0ahOzfHziVWKGwfN1B5hRChbcZWcpl52lG+bz2YtPIFhEUlYvtvQy0/YAXiPLM62PUl0dpb/MQ+lLZ9GcQRzCEvddOE98fpZjpfczl05hdYfJJ2QyizYQ4K7F02wOjzDWdQ+mQQuD4xn++wNNVLgKboGrFzF4ayljsiwTCAQIBAIYhkEqlSIcDjMwMEA+n8fj8eDz+fB4PG9JvOZW7BoB/85JN5lMcuHCBaqrq99SOe8V/+vNhCiKqLkcScVKj6+BC/6ma445XNaJRVYpE+N47SlsyzrFZh9WCfTwEPkz/fzTnodpH/kLNHE/djXNbfM9vBaoZ9hXA4Cwrm244e6jy7eJJyecLAlOFDVPZzDNPbeFefpUCefnLRw86OcuIO5wULI4s0q4OYeTsYou5r2NGyrArPnC+Mu+as63P0xb31PYYnOcrdxHsZGmWnEzp+VY1HQqBYGJRJoxzYGEQIOUJ7ii9atjIF6V8SpqeeovH6VkYYBcPsfJ0q0MeGtpUBNsWRqiu6iJn1ftQUZcDZVpK2NkigOM/vFjVP3ZZzj+pR+ujqnkZ5EFJzMhB63ePN60nfPZPMkVIjELYBFhMq8z2eflwnWe3SPbF4ioIuV2ldFDZSzHCha9NZcAwUJ+3T0/W9RCetaGbHLTt6kOZ3yO6olT1I+9xgvWYqqzCWRDpyE2RV1smiMlWxECdXT1PY0zuYgT+GTvv7Bo8XCseDO93rpryou/1fQgLrNImWBmR8+PV335S3mDS8MuwAVtdfiyUTY1qpRGZ6k72s12qZfjxZvJTJvJZxUks4boybCkOHFNpdibnKVoTzU7Gp00FxcqGa8Q79V4u3m6giBgt9ux2+1UVlaiaRqRSIRwOMzo6CiKouD3+/H5fNhsthvuZJPJJC7Xu6s78ZvBv1vSnZ+fZ2RkhPb29rf8YCRJIpvN3tT5iKKIkEywd/Y8ScWKI5/GrqawqVl+Vn0HeUnh48PP0vB7Tfx0/CJfPPI9fnfiLjz3f5BINsrmz/8uP/jjQgcQr3kXuqhgMvKY9Tz75/p5ubxrw/mClhS/s7+S5y8qSKLBTiNFfd9TONqbkUQfd29d4PxzVRxVPcSr9hJWrYS9tczO91CaDpGR7HiVMHaxm1F9yyrx1i0XgmFD/ii1uOlpuJ/M3BAZ2cy2+BzuIiuePIyrGvOaRmYySL28TKnNj6itiU1fTbjmuXO0zQ5hSy+zUNSAbW6EkyuFBYlclg/MnsEkK5y6qrrrCi4/uA+9ZIAp4XZSK4Rq0jXK0zoPjz9F/qOd9F7uAKEgaH5upZoua4CsC3QUZbiwdH0VuZmImcbiNC9O25nXBDRRA8OgZu48Z0t3o4oyGbOTZXc50ytdf0fzKttEhbizhN62hzBFZwmZPLStuAQE4O7pk/xTy/sJLS9dc85AJsLD40e4Y/YcZ4taqEzMYdFyfLvpQRKKjYQOM8DpG5Qdh81ujk4A+DFtbkNecc3kswql2jLfOpdjOpphb2MZd9o9BC+M8ni0mHuaKl93zCu4WcURkiTh9/vx+wtFHel0epWA0+k0LpcLv99/3bS0dDpNaWnp9YZ9V+OWJ92rV0LDMLh06RLxeJwdO3a8rcjpO5Uyptrs3P7Re8gbESx/+1UA9PZO3qv28pS0jTmrn9pvnuNfHUcB2KbN0hMzMZxoIPvZ3yVvnQB2ctZfCKIpisGxYPs1hAvQ2VDw+06ELWi6wCWhiNmSLZzub4X+jcde8K9VeC3s30JgfgTXxBL0zAFQpFwg4qlg2VPJsqeCrMlCUlEZdcWopZgzFi8V4/0oLVuZjGtEtIIdqhmw2aTglUrgOt6aGUeKskShBLdj6iKioTK3bSfevn6OVW0nK5tpiE4x4irjbNvDNEQmKBs7tKHIoOO5H3Dhvo+iZQWGp7eRq1x73jlRImFy4FAzXD6iwUrbO6coUiyJLGgadYrMSF5bJdygJJLSDRLrttTfO1HMb+6doT9qBrHQkr54YQBbbAlK4XRTO5UEyVhczEZD2PIZEoqFRU0nuOJKmbAHIa/iEQtJWtP2IJ5sjM6lQc4WNdO5NLCa07senlxitVvFgLvqmvffLHKGQE5cuzef6H2arZqDk9vuxN9YyciLdhyZCG2+YqySmaymY5Zen1TfqYo0q9VKeXk55eXl6LpOLBYjFApdNy3trWQvPPvss/ze7/0emqbxW7/1W/zRH/3Rhve/9KUv8dWvfnXVFfL1r3+d6urq1xntF8MtT7rrcaWc1+1209nZ+bZzBd+p4ghd1zF5zmJS1VUOypcaVA5M4zXqmbYH4XIvfyG38k82iU2lmzgzmwKnm+72B9g938NxIGktRP4PFW1D169/jc/2+nn1kptEdsX3aYhwnZLUByZepSgT5dtNDwKwKAQxP2ggCHXEJg2mDkGFOoxnepTixSEMIGEP4Cx2Yzlyglc+9jnygglPYweH02u7A59N5d6KLDOTr98wsCxR+MGYckksuQQTFZ0U9Q+i6jqngq00RcboSgwz7K4g9eohaKtleZ0YtyToWHKFxSWTvP5uJm5xk7T58ESnmKpYqwBMlsUxpmyr5ctXYHDd9YFvvlrGexpiJIvSnIwp1IwfJ1Re2NYLSh15QUPIJIiYneyfOU2vr4EJ3U5Z7CImLYUmNmI1u2mfPIVAwUUAUJ4oZCn806YP0BG6hGToSLqGbGiIKz5/SS/8X5Nk9i6PIGRiHCktXItHhlxxinxIIZ9ReN/4EUpSIaZbG3jGaL/mOkxKjlzexBNbD/DBnsNsG3iSk4lOhuMG9yoa9cWF+xtKa5Q5/u1Jdz1EUcTj8eDxFAqH1qelff7zn0fTNAzDYN++favVpNeDpml89rOf5YUXXqCiooKuri4efvhhWlvXfg/btm3j9OnT2Gw2vvKVr/CHf/iH/OAHP3hHruvfDeleKedtbGwkGAy+8QdugHcikCYIAgsLC4RCNjo6TAi7KjBOTGF+4RxmoLx6gcvOMtgUwNG/yOdjrRBLkWsUiGUuYrH6OV68ecOYr0e4V1Dpy9I/K+MSBe7xTXBkzokqSOhOC5FUIX83ZPYgBtaCEQsLDgb7oGnTAkOT5WQrLTTvFfmbvt1ULEboHIvgiUyybXQYvSLIC2EVFBO9ubWsgj1eg7v3TRH6/ceJPvpfSSZuLP5+JR2tauosmijz4+YHyQsSu0NDzDfvARXO7H0vx67ybWqGyMmHfnPD35oFlUGj8LUuRWcekfPBdjqmTyPoKoZYeM9miCSMtfvnEAUSusHiitSlM5smbrayy2JiIpNmFomX1vUXG7cF8M8tgw/qh1+mIzzCiLMMGu6jLLlIWXKJ7za+F8J5ti4Oc7htG1XJeWKuUvKyBYuaJSOb0dYR1wV/I1Y9i24I6AioonRducj1iKggzFoxVr4LCZsFazzLtrOniJTpHCvu2HB8Ll+wdseMcr6+/308OtjLrvEzCKIXt5Gjzq0wGc+jajcWkfplaC+sT0t75pln+MxnPsPy8jKPPvooHo+Hn/70p9f93MmTJ2loaKCuruCaeuyxx/jZz362gXT379+/+nr37t185zvfeceu45YnXUEQmJ6eZmJigq1bt96UaObNDqRpmsb8/DyiKNLVtRtNE+GubYhn/huCutLRILlIr6+B6GAKN5ARFXp99YRtfopsHuTiDOkZFSP/5h5Za1mSHdVx+mftVMgSg7FaFmQVRz5FIqVw+1w3abeLE8UbrSENmJ3xMDtTsC5aWmfJ6GAIAsVHepm4/REmKndgOfY0Qzu3kMytbe92zfdye3gIscGHPuRA/K+PooyqsNJPrWrpEBNFd3I17OHJ1dcna/YwZClYxxca9jNjmAGd3HXIp1gSMQkCkyvNMW+XoS+VAZMDcyZJuhaYtXPQW89Bbz2udBaHAh5JwBLdeB+76qLEJ/2cXvH1xs2FTIe+sjCbh4e5c3SB7zfcu3r8a8Ud3BEdBWDRW8OoM0CvrVBOXZIKYdHzFGsZDpV3sVR7O6lcHsNWy4XiBmQ1y9apHk4FWvmNoZ+jCQJfbvsoTbFJHpx+DVHVGK7bx2xxKwaF1La8AYP5PFHdwJlLkpVM5KTCwmnNZ0hJhfkeDHRxMHCtu+l6iCw6+WZNK58cG2WnsAwGNDsFNhW9cQzkly14I0kSkiTxmc98hs7OTnK51xcHmp6eprJyzU9dUVHBiRPXymNewde+9jXuv//+mzrf9bj1xCivQiqVIhQK0dXVddPSR26meyGTyaxuW0pKSta+qILE0u13rR53pZpoyhHkufJd/M3mx3iu8jZ8mSgfHj7C9uRJLL5Dq8c3BpLsCl4bgLmCvhk73z5W2P7esWuCJVNhG55QbGxdGqSRPOWym8eGn9/4QWnjdbs8GeyKwV2nXsSGHSkaxjR8HnX7XYzl1nYUAUMj6wwy7KlBHZpH/+ce7F8+QeWRl6mYPoczs8Cyt5HroXa+B4CJYAsvu9cCZecNhXDuWvnIK6h68murhEs+wWh8mbhcIJ+sxY6WkimyaOww69w5exabmmZO0+jLqUzElQ1jFXky7Ns9SYty7aI2XdbGTNv9G96bchTTXbsPgEV/LdPlW5m1FWEVBGZX3Bj7FnrQgAsr1+ARRQRdpXXgWSqSC2iixJinikveRjRJZqSihsjHutCcZqrHjuFdnkAQChZ4dy5HVDeokSVuN0KAgbiSbmhRX59wbgSLnsVSJPFTb8vq32YXogiC8IauuV826cLGlLEbxW6uJ/36etf3ne98h9OnT/OFL3zh5kzyOrjlLV2bzUZHR8cbH/gWcLMCaZFIhIsXL7Jp0yYymcw1q7Fv9wGMnvMIy2GK02FkXWXAXcOAtwaAlshlTFqew54OQnPuDV0ILi3agTe3yCylZOYSBZKpj01xoHqZaGML9cMjOHqnKbZlmE8Vxp7IwicfHiQSsdJ9rpzTJ6ro2DrN1l/v4LVny7CeP4PnhZ8w9V/+ltu8EcbCZrI5magOi7Yg521BKC0ooHnzKZoSk5RFZqic68elZlj84D2MTK9ZHZ5IwcqdsRXxePlGMZsiScSvyAyu089dj1MPfpKiiUssVTWC4mBOgdvScxyzFhabeNRMTTCDLe5mc3KezclpvtXxAPHUtbmgT5wOYrOqNPjjWOdtpFd+qN45G9WGFcmZ5z0Nc0ydCK4G2aZXCN9blEBbdhPXdTySyGxpO7UTJ2me66WkYtdqd47hfJ668GVChoDmKixYpxruxm8F4hqurMjF0S34uyooPf0yLQPP8fSm93HR4sciQKMdTA4TA4E4udkqtqQH6bY2EzavaWvcMXsGXyaOXU1jVzMouso/tjxCXtq4yAAUhWcIa0Wot3cQOzyJK7HM5HwEd0kAp+nG+bLvFtJ9M+3XKyoqmJxc201NTU1dN4X0xRdf5Itf/CKHDh16W/0Q3yxuedJ9J3AzLN0rCmadnZ1YrVbm5uauJXJRRP/op5h+/HEebypI8xiE6PYAACAASURBVF0hXIABT+3bPn+ZN8nMcoGUryhoBZw5Hn2vitlUgpMI48+dw45ENldwR/TNrJG4x5PGv2mGmYFSzp2pxBsIkTe7KWtSiOzswONLEgl7aBQgpujMqjB/VeufZcXGCW8zeAsCPoqu4phWseTy2EURr5ah89IrABwuWQtybTYpjORVoprOknbt4lesJZmXCnNNN9St9tjcnFogVFoEa91oyAoavdk8r9XfiypIsCJbUSyJ3O6Y5qeREqyiQFAwyMkGF+ctG4oBJlIiiqLywe2jzGYVSkwLDGcLQZuIXjjuwqwVyJEDfKKIJklMVHSSNTmoVmTmVvQitFyK054aTntqVscfVTVmlAx5LMTMeeLOHHLKy3jzI4yn4oRMDupTS2RrHMw5VCBBJtSIaOjsmuylZ3MDenaNIA+XdbLDMcPd0iijWhdlIyfZP3uG51cana6Hf2mKqXgxsjtH96Y97Dv1NIYB5+dT7K24sWjNu4V038zutquri0uXLnH58mXKy8v5/ve/z/e+970Nx5w7d45Pf/rTPPvss79wTOiNcMuT7juhZvSLWLq6rjM4OEg2m92gYPa6wTmPD9PuPXCttAGNiUuEMkPsrPVRpWaZ6xmhPS7yf640OLwRkvo0sLEA43+5bQ7zul1Y1acO8OITOSKqhb22WfquspzbS1I0esZ57Ug9kcWCOpr/3irqPEGe7b3AsrqTGVXbkF51I+RFmeW0DOig6YDMqbaPbCi+ABjXchRLMpfVtfu1Xg3tCuECJHNrhDNsD5JeR7gAQ/P2wvmuakvUbFIoapERT0F9SZIaw0I04qDOpPFqdqNlPZLXOH+qhhl7hmKsTAusWsJQ4HynINBghSKjcJ755q34fCm8kRxVqsSEquFPhagVBHK+alKGwdjK9WXChV1GMiUxmDVIraTcYXJwR7yffcPHWVys5Id7u8grElpKxk0SfzKOV0wRYi2jQ7ZonI6XM2QtwWSyk6v0EcuukWNRZpklS0F3pLtlH9v8Doa1OYT2arorPoPZ7CCtFfzIN7J13y2k+2ZSxmRZ5stf/jL33XcfmqbxqU99ira2Nv70T/+UHTt28PDDD/OFL3yBRCLBo48+CkBVVRVPPvnkOzLvW5503wm8XUs3l8vR3d2N3++npaVlw4JwIyIP7NjOn/zFf2HQWckP694DwCNjB5mv8RJuzrNreylf6x1mU8dDyEUJXC+pxDI3fnSxWMOGf//Wvhkclo3nPzvp4jVbEZ3Lg3Qc7eHp4g+vvjcWV6hx5pma2UiIR09UMatpzKk1qKjYriJMpyBQp8iYBIFT2RwOQaBClsjn04jxJaKSabUVUCC9TCCzfE07m5gmEFuXuGWXDJLaGy+u6TfZtcm5Mufksp1tVXHOjjs58J4pkmEH04cT4Ci4P+6vyvDchBmnKJJMKUgJhRldJ32VBq4CbDUrpGQVVlzQmbSJuVmZ0vIoWyfChBQfo66VROG8SrkIQUMljMgHhG6eoGDpp666zqVWGLSW0NwzSdflOkZaFhjO7yZncvGPmx4hlF4jXLMvS3N5klZrnu8c9yOnMzglkVabQMv0WV6wN60S7hWcu5SgrsXKcCrCR2oa3pIR88vuwqtpGopyrdvkenjggQd44IEHNvztz//8z1dfv/jiizd1bjfCLR9Ig5v/8N+OpRuPxzl9+jQ1NTXU1dVdM6cbjikISH9w+wZpPtHQOXDuLL/9aprY6Rn2V7Zwe3EKQRKpKVrrOvAH904ScK75igUM7to0g2GsPdoddVHKvYVj/uTw9wEYXrDy8x4/DcEU93fFEGbi151asEjEMAzCWmGbfiqbY0rV8IgiHSaF7WaFUknkigEdNwy6c4XjABKGwaymkZMt4K2gVc/wodGXaI6Ms2j1biBc2Z7H7L22EnA94d45c4b3+3updYauOe5q1FxH4+HKHFXDYGrSy56Ggml8bMRNWUmYVHZty5FYcOGXJKK6wWuZHBdy+Y3W94oWbbksFcpb8wUCqKgK03XbZfL2CeK9adqGXmLf3PkNc5jWYUGQUQWR7NjavS925vjU3lkeaYkhAnq+nGBNITgoCH76Bwtpg8m8gSbKbIuMrH42GzbT5stQ7svw8sACs3Mxtiom6irzjNRtI6Fcv7VNo9VLTM0xlUlc9/1f4ebiV5budfBWSXxubo7R0VE6Ojpe17F/YyLXEGwmXAfKcE/FiZqdiIbBiR12dk0J2H4+SFVgEu2OGsLRBJOiHSicZy6msBhf8xkYCBi6lTJPlplIIRiwv3Ftz/2/duxnLqrwxKkAHqLEXQJyawCtq5wrggYjCxaiKZnhMSehmJmxbI6MUbDoqmSJUlnCvO4eNZoUGikIo2QMg7RhkNENlnSdmG4Q1Q1iuoYBXHKUg6McSb82OKYmFdRrBbs2oHNpkGPHi7jceG3i/9VI38DtEdV1/JLE2Vfr8YsqJy+70C8mOb1S7VcXm0aw1m24zvWQgD1WC4ZhIAgCVmuOdLrwHKIRKw1Ni2zZksVyrBfR0Nm2NMSpQBshi/uasZ6suWP19WO7F+hetqBY8xRJIsMLTh62wqC7imclN+vtuqwoc85Tv2GsIlnHYTI48oc5jr3qxmTK0lo7w5n5EgyhML86ywKjmSD3TR5j6sAOLiQKi/1oMkal1cmtgJvRjPaXhV+R7i8AwzAYHh4mFovR1dV1w63ODUlXN1APholadcpTi0TNTiRDo8tbgvRAJdrFRdIvjmD9UR85m4Xg1gTLFII53z2+pqj1W3dO8/1zAQ4NbtxCWk06qaxILCMTjtTz+IWCf7aiyExiTuCvpypJ6mslj99ZN6YC2ESBGlmiwqFis2WxWFTmZq4lD0kQsAtCwTMsgZZXiekaW0wKLlEgq2uUXj5GVlM5F2xj/joEdCN41TQZycTxxntf95iAM7e6CF0d2Cs2VHyRSfq9tVzMqZgFlbwBV446bVur439o6ihTHUUcHluLYjsFgU0mhWm1IFkJhQW6fcs0/qIEh14qBAzjMSvnz1RS17DIWPt+yGaxlZsomXETegOv1V+/UMGWygT3tIbJBZ0cmjXRHfLxXN3GDB2rmsEu5EizURrxb1+q4A/unWB5wUUua6KifppvHi1hKaFwu3uC/Qdf4uSeLkYJIhkaRjpB0OOnSfFQZ39rz+PdgF+2i+Pt4N8F6d6sNuxvBaqqcuHCBRwOx5sqOb4R6ebSSfRjF3DnDCoCFvq8dUiGjvjCCC/3XOTpEqg68Gvsfv55KjILfOi1g3y7SWHKXrE6RrA2jsOq8Tt7Zvnm0RIWY2tk8edP1Vz3vPMxE2JexiwIBEWYXpnfR+aPkrmtlYDXwGZR6T5bSVn1LJ87/0eE0nEa4wqfDzyCp+O9TE8VCN5syZPNrC06WcNgUtUokkTqS5IsLTppnjpD1cJFZksbOSwqWIHWxX7OBDa9iTsOy7KVr7St+Z2rR04xXr+xEGC91X/N9Qoy8961jJDs63xlmtPTjDlKeXZ8Y9qQXRSwiAKyUCgi0Q0DURDo7y2lvmkBuyO7Wn0Xj5s5e6oawzDIOjKEhiJMKVmQ3zgVqXvSQfekA0koTLBfK6ZaW2BcKkTV75s6RrU+z1eq7kECNEOndzrClopCUckVsXaRDIfPFBbYzeUJxlUb8aCP0uFpKGtHMnTudwUxAm9ege/dgl9Zuv+TIZlM0t3dTW1t7ZtWOboR6Q6lJ/j9kpf4v93/ifrxWTzZGL5MDIA75yzcOQec/xFP3r6Xb2tDFId3ItjX1ZoLBsthM/9wtAQHNyYeQTCoqZjg1OI3+ZMDn+T4q7VYbXk6uyZWyblxZojFCY3S9ipOLVgxMJAFE49tup2/O/scFe1tRL5ymuBXD8MffgVgA+ECTBk5DGBbIIfbm2Zp0Ymkq4TqWhDvrkM/b0ZTNc4ENlGupunQl9gyehghq/Jc+72clV7/vtbn45S7itDb9jCeWfNna1oEi9lCXn37wtgAg9ZyBqvKr7QPo9Kpo6VkZjWdKt1AXllgVWDYG6E5a+JkbxAVA834/9l77/C4zvvO93Pq9IIp6B0gARAESbCrWqJluUi27NjOlWy5xE7srDeb69TdJDdxNpvrlM11drOOE8uyYyeKE7c4tmXZkmU1SpREiiQIFgAEiV5nAMxgMPXU+8egsldRUvR9Hj4PMXPmPe+cec/3/N5f+f5MDGym8xZpe9GFkhfBdX4NivPBXCxTHvGUrXn98epiPrMigGXD0EyOtorgWZ+3Vim5HR33Al7+puq+ZdeOZFkIuSyvR/rK5/Ovy/br8AYJpF0vnOtpGo/H6erqYuPGjZclK3ch0t0Y6eA77/8pL6xvp+d9u/gvFYcJnKMbwTv3PU+1fDeCN0pNYiXZG1ugMC+SSueZyZzfxZEV+/j1t44hu0a5uaoNWbaob5wlNe9ibnYl9UbYUkH0wGl6D6XYG3NjizamKTI0X/T9Kd9+mQ3PHyZ269kSgNHSBWo2jDNesKl32RTmPZw+WYrbXWCg4Ra4az1VFTk+ctM0+mJ6Vakskwk0k33gdsS2CCPahUlzWvUTN00GzhCrkaQgv9J2kHds7V9+LaRaNLltIt7Lq9ryaRk6ogUEbMpNlTK1SGCjhrFsqRwr6MxMuHhhVqJb0zmhGfTpBqf1S0+jU0wdl3F28NDjunj2zGKaME1RD6oksqWsgENaWWMlbov/a0eMLbVDfOzWcTzlefasn6Ez0c+G7AQ1mWmEXPY8o1/gvNdYge9KkMlkXpddI+BN0j0vznRZ2LbN4OAgg4OD7Nix44o0ei+0WAOOIBUOLwfTXsRb65D+622Yi00dNRG+kjnKY9MHuO/YT2hMjTFaskJ4ktMgY4+DKS0Ln5wLbquFLz5VzeikwgPtOwGorE7idGmc7o/SECmWCovvXAcRN81PHeWztRO4VRPTEPmDmz7I4x/4Ez79219Cf+bLhP/zvWedo7Q8xb5hDy7VorVkpYR389YxBMEmvbj9rgxqlCx2QD4uSRRsm67eZp7suIkZVwm7YseoP4fUIRQzIno0g4lzpPVJMza7qhUWORJRgBYPVNQWz9UZ0vnQ9OHi9bBN1tnnJmNDlBlNKXgFEZctQSRDpQOmTGu56eWlEmtFJk5ZbhbZoaMGNUKr8lt1SSF3DpdDJidxT+s8v+bfT1l2babGpjoRT3n+rM90TTsomCtj31Ti5wddHnbVO9BEgXURNy11Oe4si/O+vsfx61m4AtK1bft1k6P7WsQbgnSvhzN9da6uaZp0d3eTy+Wuq0bve6qbAIFvng4gOGUG/8vdPLF9B6oFt7e+i/vKdlCajeNx9OEuXblZzLyMS3Ywru3jSOahlQEFm43rx9jVmFo51hIIyEW/5nf6uvidZ7/Di4Ufkkk72VOb41dun8CSJaQPtkPBoPCVl5AkE8MQOR7z0NPdzHS3h/ixEkYOn11+3TPhZnDGxdbyPJnESiR8bKQEj6dAemGFYD6Y3AeAZoocKWgUbJvx01FE22LHbD8t05Pc9f2vXtZ1/mqvgVaw0Bb5cKYgkDNhl6vYS3k25UC9rZb69CRZQWLYEhBsC+WMTXawsMB8XqAhNUbN4D46Dhxj5/gxbCBuWpRpK+lV27LTbM8Wm0J2CtP81vFvU5orpp4FK5J4K7N8oveHvHfyeVzhAs0l5iq/ns3Hqk6c87v8uDfAY5N13LyoTbHNztNZd4wZdZryEoVf2l295vilu6BMErk76iWbNNgph+g5UM9ETzmDmRQ5U0TcsRI0FQpnk/fF8FopjHg9tuqBN32658WSZZrL5Thy5AhVVVVrlIouF5dCurIo8qmmTTx0upt9025uLssy5y66EVpGRxksr+Cx3TdRwECWLFRNQ0uqbKxZ4P2deR7qGuXh7mdoFLbhtToxhTzHTlYjimsJpTnsoC9pMKrfRVX0LrAhP6uzrydMT85GFGwkRWf9zjIip0eQx4aYCbTgiLsJJ0dp6XuSpC9Ab9sH1lSTWbbNgTEPLgGEWAmrm0PYtoDXV2BuduVGiU5OcYtxlBciHeRt6FlIkpJdrJsfQ7dtMmqe59/3yUu+xgH/FGnxVmYXCbD51DFONW9kOCVhnqjAIRbIqFn27xtjKLIZgGAhRYdgMuivWOOumPQUA1Ddviq6fVVnnWtaXUkNrJ86zo/qiuI3t3c/RW+oidiiD3d+MogqB+huuoktp1/EW17FbLiJWkVdPJ/AwcUeaHdMHOSZym1rzjPgKWOgoQxsm3GHhzurGhmcKuCXMzx7ag5JgCqpWPG29Cu/f2clHo+KZpo8O3GUzQoMno7SaMnkjTTy1ErnYq1hPVwmib4WSDeXy71ufbpvku55IIrictuQi7VsvxRcaoaFIkrcWVrLs/Fhqjw6NzVWYD5X7OCgbSwn4rWYXswHFdUiiScXxWw+tWUPn9qyh2f7AjzTJyLbxe2XZQncs2mGjVUZnjge4oVTAQqnCkxKj9NR93YQYNSXpWHWT1t4gb45FV1TOU4UKhcDdgUNybaImgoDzbdRCJWjWBYl9bO0B3ROHK1k0rTI2Tbtqrzcbl0ULULhDBPjAaqqk2iajKZJqKqJ0FnBrdODHDcaSMpeUkpxvv3BWvqD5+6ScPfYS+yIF1tfGILIT2pvozvUiM9hUnboAPPN7+bHx4qEl2+txmtYxEyBagXyFuSzTmYjm5fLijckhzje2MFU3iQkipRK4nJL9EvF9xr3LP//f3c8sOY9G4gZAj/2t/LjzlaUvEH5lECSlQfwiVPFVK3Riih7xg/wTOU2/Njcd/InfKNl0YUjCExpJg4aMDnNbHKO+Iyf9tI8p+MrPnBJAMVRvK1ThkZZSY7aaI6CVsfEaBYpXoowfnyZoG2nE8s0l3d1oigiCMIFSfW1QLrpdPpNS/dG4nq4F/L5PAMDA5fUsv1ao9Uf4kgyxveGBOqyJvcBA75Kvje3mdvC89y7LsFQWqU/5uR4zMlYojg/24aT0y6eWZWnK3rmIFvCkVEvm6szvGfLLL0Lz2Ak9lBv/gKFhIYa1Hlm+p8o9zxAhRbk9ltHeOpkkP5pNwo2m2b6Kc3NMuvwEw+XckqtJZcXAQNOBngeWFadAXo0AwEDgaKxK2RUBEFHPOkBNI4+W4EiW4hqBWIdJJMXTqPaHjIYmVdI2CbZhpv5P+U6UnkVcm6asFkCeWhWJTLvvg3XaYvxxesRVDVEUWZEs0itytltVCSqJIm9ea1oWS7usD980yTzSTe5viDDi5VntznV5fV1rKCTsiycgkDOttntVIkV9tNvF1vb+0QBW9VJL5ZoC6JdbO9jrPLhijKjNoBNkyJzWjewFt+fVWvpdBfdRhumj1GdjfNx+zky2+7h+0eSGKbE1/dN4yyVyc5WIok2x2MrazMoCtzbWYEqF8eLFbKUewwyuoPqmiBawWB0CDwddxK4rRFMC1WWsSwL27YxTXN5N2aa5nkJ+LVAuq/X9uvwBvHpXktYlsXx48fRdZ22trZXnXABREFgd7iYO3ksVSzzNFQN0y7w3Mkg33g+QplsclP5il/3sZMOPv9EDf+6fyW96APbY/zhW1N8YFucsYSD7x6MYlkwJ5UTrLORPQZawkF2wsXWig/hqzUwDJHEeIg2yUGHquBS4GBkPUdDjWysSvOum212qE7uq8vzsZsneVfHLHtaE8vn9AgClbJEU8Bga0OK1vIsZc6ilqxPFPGKAgHVIuzVCbhNPKpJUzR3zuugAO+qNNi9MUbctIkKCqKsYDk8WN5STsn9PJkqljUncxKegSiNrPjbm50ZQlYxM2BCXMkQGDI09ubXBtD8ToOSUI5M2kGFvHJbTNTMsPvWASo3jDFnWTgdxcyEgChwcug79LN51Sj2MuFWShLRqjze2iy+xjTOshyqsnanM3SGRZ3U4bslrViCSF16ipmdTbyy8SbqQ1E+e8eKlkY+5sQ0ZcxVQdM2VeZt9SVUlKys1yaPn2qPhVMoWv6yVPRDZzJhEERYbPQoiiKSJKGqKk6nE1VVkSRpmYh1XUfX9WVSfi2Q7qXKOr4W8YawdK8VCoUCR44cIRqN3vBKl3qPnwqnBzmyiZw4wGx1mLdvyPKzE04SGTcP73WxuWYlmHOgt4KAS6e0bob3tRX4y5/WklhMH2urzPKujjkeOxrmx0fDfGKDyrGkxozDJJFUycUVFkZVPME83ooUU5MBJNlkd0eM+yrm+cHeGnqFUr6ml1F2UKDZaSBWJRk1JMpCBZpli2dPBsESyNg2AdumXPNQJhg0dszw/HMONCuGVy3FFB2Uh7O0bYyv+b6ZgsgXf1qGW1VpLGSo3Z4jIkj0nqjg0X012JhULpLhVvUmmIbN/AoEYF+uwJRprdFFAIg0eRk+peCfF0gXJII+neSCjGWfoThWnmUg7mRspIR4zIejNAEjRSsqllJwOnWeHyiK9KQLEqrboCY7Qk/rOyG5lCZhs2DBkiO7TpGY0GUygkVhTsVIKwiKRXN5llNTHt49/CxPrdtBRnMtf6ZammTMLPp30+9o5TE7RNAoEC9kCalO7mr18mTvWn2E9tIcwVQAVbapq08gijaW5QcknLKGLJpk8376e2Mk5lSqa3Uqqs7O6V0NURSXSXWJZJf+2baNpmkIgnBDyff1nL3wJukuYqnHWktLC5FIhL6+vmveJ+1yICxau9/PZ/ir3eW8OPddvl396+wf9JHWLJqjJoeGV7IDfJ5xWusPUuEL4FLr8DhMZjPFn9eyYH1ZllMxF4eGffidBr/QUtRjKJgwmlJ5oaeEnxwNUx/OUxkc5qYOA6ezaIk1+y3KFZFvzTyPYNxCPC3Q1lVBMpjngEMnF3MsW10SMGFaNIaSjE/66R71IgvQUBHC5cwzPelgNnZ2QNHjsHjblgV+dCRCxBGk1ptGcsYJNsV4pXc95R4Lt3VuN8Q6VWbwHH7YkbSET7Eok1T6dQMWjd0NbpG4YRFfNHb7phZ9yScjRKMLDGKCYCHKNlpSoWfSvezC2ZzrYawsQJ+7Em2maFWrwWJAcwnNiowMWBmJTMwNVvEY2WNwarx4Lrdo8OlTP+crN99BetKDbYowLyxJavCj07V4arLM2Tb/PtHP7miO5nKdJ3uLQb31ZVne1j4LOSdHu4LU1M3i8Z4tAqRrIse7JdILOs0tM4QjG1gT4bwIziRgXdcZHh6mqqoKc5UveLWE6auB1zPpviHcC1drlU5OTnL8+HG2bNlCJFKMWl/rPmmXC9M0iSoO6t1+wpV3oFkGPzr9Mne3z2GaDpqiOSTvSqudhVyQTLaafHojPzteQqYg0TXi46+fqOZPH63jfz1Zw8np4iI9OLISgHBI4HVa7Nk0yy0tCSbmVV6aKmPvaR8Ffem62sgCOP3P4qw4TcSrczxro8TctCXdGIsWtUPV2OIo/v/5cRf7cjp9usFxzeCnEzJ7h90kTAs952bkqQyxaS/mKgWxzto0NSV5BnSDwZEAXqcbpytE1hC5eV2SsC+2fOyMOc2EXQyoRSWJWvls++GJnhCWZZFZrCLIaou+Vl1Ek3u5t3Ns7QdUnbb2KQZnnAT9OmpIo1CQ+c4rxfLb29YnufXpR8gKJeRniiQsOs5+MCcli715jdEFEdVhEqw4TSJpkx1fsWoPtmwjVpCpG54npBVT+sa8K5oXkQh41AK7w/18uiXNrtIszw+s+Orft8Um6Azh9MiU18xRUQWmWYK9qtlmPidz6JVaMmmD9k0TlFf4gctPd1zCUupkbW0tlZWVqKqKLMvLWtFLrojVvuHrhTfdC69T2LbNyZMnyWQy7Ny5E3nVjXs92rAvnfNCDwnbtpe3coIgsDNUzvBYivd0fJ6cbNJWkaAunOeZviCuypuxQxkyIx6wPBwb3MoxQBRWfIehgIbhlthTs0DAZRBwmQTdBgMpE1VyUO0x8Csm+xJujuoyTevmcaRl9p0O0DXqJbsoEi4L0OD7HT7QGifonuDfDkXomfQwklh5brskkUO5tT3NOtRiBmzMNImbFlOmhQoMZVsIdbkIyhbyyCu0v7eSQDDHu7fM8vdPV/LSmJuOdoEDgz58DpN4byWCIKA6NbS8SlPQYutukRPH5pmeDDC/eJMLsCbj9vkZmTObqvfqBqVeP7H4WmLYOw8zXWGSWQWnYmLLBmWBAtPzRQt7c3Wan294O7mplVQlVbDIJ9cS2Ux+ZVwtJ6Plms9qrHQqG+TUunM3P3x7R4iDuWHurirQ6A9i2Tb5/GZuqQ0QkBd4YSDBiYkGWsu8iEBdbXE3U1hV2JbJZOk7MYdl2WzZNkogqJPLnTsj5FJQKBTo6uqisbFxud35mVbw6rVrWRaGYSAIApIkXXML+PWcMib98R//8YXev+CbrxUs/diXA13X6erqwul00t7evrw9WkIqlUIQhMuuPLsQxsbGqKqqOi/pnkm4giDgkmSqXV5CioOZzBhNQQd1JVleGvBjaRJYAmau+LCor5hk2DzNuzfKeGSb6ZRKqCpLVrGZz0+imkEqAwXcDouAIuJVLGbzEpIIbUGNdX4NRba5o3GBikCBwyMr7gsL0A2Bm5tTuFQLhGLzy9UEZ5ki5bJEkyJTJknETAvZqbGn6QWEHz5HVU07XlXFsGHaKlZ3TRk2eV81s5MB5iYDKAIIksXplIxVUOiedFMpSgSl4ndsaBonENSYmirDtgXGR4vWX8K0livERLignoANpPNexlNnq2rNpIsEalgiZk4mU1h5EO8f9DMTrFtzvGFcuJfYpeA+53Hu3ZPjxdNFX+u0O87OUI7EnIOJzAIi9bikKhyySFXQyfHJNAsFg/aKc8swzicL9J1IIIgibe1R3B4vplmJbV/Zdjyfz9PV1cX69euXd4JnYinLQZKkZetXFMWziHj18VeDxx9/nA0bNrBu3bmbnb4G8N/P98Z/SEs3nU7T3d1NU1MTZWVl5zzmeli6Sy6Lcz31lyLFS5bw6kVZ7vRQ7vSwLN6TjgAAIABJREFUKViKaM8RCHaxs05h/7CAkV35CYcmKwhQwROHV8YdOFkkljRtjAJP9wZpK89yYtKDSzX53XeMYtmQNwUiTpNCTuLPHqtFW5XmFFQtkprInrYEPqfJdwb9sKq5owhsUhV84tp5NyoypzNwPLuJW+43mf2D32Tuc/8v0bkwhi0zY1rETJMRo/jPrws0ZkN4BAGnoPH8ohukKWCxJEWRz3lpWhdnZlRleDC8MofVRRqX8Fts3fRTmulkoK9mue16mV9jOnX29luWLQzj0iw1UTWRvQba3KU2NrSxW8voS6/4pHNTTp4YKm6dGys0NoZXijMsG3wOieHZHIZpIUtr5zUbz3K6P4HTKdPSHsbhkLGscxPlpWCpOKi1tZVg8MIBuNVYIl15VUqaZVlrqjyXiPpKrOA3U8ZuMC7nqRmLxeju7qajo+O8hAvXriPwpYxp2zaGYSzXtF+4IWAJluXm7o0xPrzb5LN3j7CzqRgUG+ZRXOU5WqrO7gBQuthdwrYF+uPFbVlOk3h5wIdlgVOymVlQeHhv5TLhNkRyfPT2CXKmgF+CHQ0LnBwJYI146J8sLvigKLDdJ5EIZTlSMUev/sryOSulYrHBvkEfPxl/K+nP/wVlFRrrWqaRBYFyWWKTQ+W+hhzbSgvkLZuugs6ImKd6lavHo648/BJzHgQBQlVr3RgXWsgBxWZ92Up6nSrATSXtxAerKQsWcC+Ofy7CBS6ZcCWniaVJl0G44IwWeDGjsm9yxQFh6cXz+V0G96zfgSwWxysYFt89PMn4fIG3rAudRbiTE2lOnUzg9als2BTF4bg6myqTydDV1cWGDRsui3DPxJIFrCjKmpQ04JwpaZeCN8uAXwewbZuBgQHm5uYuST/heli65yLdpYV2pnV7fggYRhWq2k9TNE/WsDmRLhJQHfeSm4K+VUdXBgvcvzOGz2ny1QNxxiZ3IAY1WAwE/fRYmL39QTZWZTg6tqpE16cxNONk8LlKBGw6fQJDp8OMD0YI2za9i3mu9YrMYCRBXgB0KDWnWGpv4HJprEMlY+n0ajqucT9Tk2dv6RNTQW7bMUzkxSforf9FRrJObFYsv/iCstwxIZN28MyTLWeNkTrHzdrpUFAQsLFxpZwoqskpvdjXrW9/FEG02LhpAmPSxePHlqQXr3zba+bP5Wqw14y5uqMHgJyRWFclciJWJFBnWQ4zJ6GnVPa0z/FK0kOj5iejmbwwnWY2o3FPe5QNq1wLtm0zOpRiciJNSdhJ8/oQonh12/eFhQWOHTtGR0fHNQ9YncsXfGZhxsWs4DezF17jMAyDI0eOoGka27ZtuyTBmutFuktjrl5ol064RRhG+WIPNIMvPVdJevrs7WNlNMsDu6b55G2TFOwFfvnxf2PO0YKommRmLVzlKwUJKS3HywN+Ai6D+7aO87n3DPHLt02iyEXPqI2AoisMD0bQJPOsjgzNi1b07RXz3OlzIssmGzePM3Tkr5AEgQ2LwbQeTV/T3nw1Dh2oo7S2jXd+/3O8JTmw5r0XF+xzllA3NscxbbvYrt06+/0eTWd/QeNAQedQXmPUMHEIAhZwqODhxOAA/3gowtisSo2S5FyEG3DpZ712LnhqMiiBlYKLsFdBVIvaCoIAsldnR1OeuqYFnMrK9UtnFaLkaXHqyKLFnZVp9JRCe/UCNaE8ybE8fQNJfjqYIJnTef+W8jWEa1k2p/sTTE6kKS33sK7l6gl3fn6e48ePX7D91LXC+QozBEFYtoI1TTvLCn4ze+EG40KElc1mOXLkCLW1tVRVnS1ccj5cT/fCuQJmlweFQmEjliXiUVNkM8V5yl4dZ6SAIMIC0FeQOTHiY2AhwoaqTwHgCGlYU24sfSXUvbE2x3s2zKHKFqIA/XEXg5N+HKK9XNx7XDPY4BTxuDWOZFYsOtuGZleBY2mVidwxtt/Rwq32Kb7083/jH3wH+VB2L+uVdkqnTzBZtoNTusF6RT7ndx7234r3M9uxFpyUazpTq8j9hbzGVoeCe9HyWd82xVMzrzBr72F+VTDLg0WGolsja9kshdQiJTk0TSJfkNENERMbS1Kw522mTO+aVKvVmM+drU8sqkU3wmroaRmHewDMBvS0g9m0DkiU+lTevsHJo/FRZgoCcwkX4RKV8diKJf+DrghOh4HfY/BCX5CAy+Se9gTHj1XgSKt0FXQEAR7YXkWZf8VKNg2Lk71zpOYLVNf6qaz2XnWAKplM0tvby+bNm29IdsClWsGZTOZ16154Q1u6s7OzHD58mLa2tssiXLi+lu6VWrirUQyOhPj4tnres8lH0hzASCtkx10YGQnbhv6Ug4GFtf5FyWUiuQy0hIoaLFJqz3CU2bTMF094eXLcgz3nZXzMy4ImsVFVaFZk5iyLwzmT4aRMzraXOxA7RYFSN0SdBu9pKG77BQG+NX0EgGhaIjCX4W1/8edUKsW+ZavJtHXDJKq6QkDphaLbo1aWEQDv4vWxgIMFnb78LJpt8+SJEk6PvBXTLqalRRZv1FpV5XaXgxZFXs5m2Nr9IusLOTrdMhtlJ51Olc0OhV27HYiKtIZw/YXJi157+4w26R5fEi2pYknVZFkrSB5b0PjnA7MU5iAlyljYJORFqU1x5aGQL8jMLaiksgqGX+fpl+sYjLs4UtAQRdjoknBYuWWLX9NMThybITVfoLE5SFWN76oJd25ujt7eXrZs2fKaSMc6nxU8NjbGsWPHbngp8pXiDWHpwloVL9u2GRkZYWpq6ooFa66XpZvP5/F4PNd0wbSURknI32IsF6JD/mVy0y4kh4ka1JDc5mr1RQShaO1mx92Y2socHt5bibM0T5dhEFd1xkyDxqBBrdsgv+DEJSic0HROLQrV2oJF2G3gsIvVaB9pXhEcf2VqEMO2+I3BCtYLGdI313Dyb79Lk6CSM3VO6QZ+UcAjivSeqMBbO4s2spKJAKDYJkEBEou/aZMiYTo0htJephf9yc1Bk7K8B1kQGFisSFvyMgyvKgn27ridwnwSNWCSt4ot4ScNE6P/bLdMynHxbiC2ufa3qy8fpOd0B2ZCpqTUIJO3cChZfJ4Z4jP1WJZCNhkgmywWUyjexYeMJeCtT5MeWrtNtuJueoCMZRD1OdjsUTCzBuPj4/T09OB2+dELQWwLWjaECZZcvT5IPB5ncHCQrVu3XpFe9KsBURQZGxvjwQcf5Ic//OFVK//dKLxhSHcJlmVx4kRRFHrHjh1XTG7X2tI1TZNIJLLcfSISiRCNRvF6r35LqFs6A6lT5E2NklAZDirx5ddhTpeQNsfJO8aor25HWLoUSgHZo2BkZTZUZDixGDnPLypWnVw8TPRoRGoXKA8UKOQUCkeinEwWt9szKScerwEmWGdYfl/Y/0PufzzLW57q4eiWab7f3EWDt5Pd7rtoVGQOFnQWLBvP4nzSi4RbsG00d5ahpErSstbk2ooI6HmV1YUO0/MqHsUma1tkFsk5b9tkLYuRRdK9b/oxjtaPkKlpJ2RvpbcgYZ/Dd9uYHWXAfWV6yfPzm6go7Wd8qpWANoPmU8gnvDTWHMTrTjA81oFlyTg9aTTNRWF2ZfchiOCuzJKdKAaFBIpqZQ6PQqNX5c51YUZOJ8lINu3t7SykCvSdmMWyLRBn6D81QSQSIRKJXPFamp6eZmRkhM7Ozgt2tL7RGB4e5v777+dLX/oSt9xyy42ezhXjDUW6+XyeI0eOUF5eTm1t7VWR2bUqA17tvw2FQoTDYXRdZ2ZmhsHBQTKZDCUlJZSWlhIMBq/oITGVmSRrZGnwN/H+um3cWnk7Q6khfu/pv6HZeS8RYxeZUQvFr6P6dZ7q/wJvbfpvGBmZkZxMSdMCE+MzuPINa8Y9Ne7h1Pj5/WYutwkLxaKI1XjHV06z55DOE9tV/v4+E8t4kYHsILvdd3HCPAGsozf/ImWeW8jYNrOmxexScUNexiOb1Nt5fIofpyCwv6AVtROAGrdFkyIxlZXo1Q26tbWBroAocmQx77a5NMuW92ygIrWZv3+mimnWtmgHaFFkKtwWJadGGWi+MtIdiwmEQ27AJjEVpaRmmFiihsH4NtpqDuBy7mNgeCv5jAdfZA7N9i4T74M163h+ZpqTMwYFTaROlblnWwVuz1rys4HkXJ7+vjkUVaR1QylOVzWapq1ZS8FgkEgkQigUOqvg51yYnJxkfHyczs7ONRWZrzUsEe7f/d3fcfPNN9/o6VwVhIsIa79uGoXG43GOHj1Ka2sr4XD44h+4CHRd5/Dhw+zcufOKx7iUgJllWSQSCeLxOIlEAq/XSzQaJRwOX5bVMbIwTJW3GklYudHu/fd7SObyRJ117Cz5bWTDCYKN4tNRAzravIKeUnBXZ3lh5EvsVH8d3SiSgSxaGNYKmTpEm4Il0BLN43bpHBpReH9nPzO922nfNE5pWTE3uPuvv03or57mm2918u09juXOEnXOjfxa6E/4ufYKitnBnNFLhdK63AbdJwiEJZGwJPCut51CEGDgBTicbua4ViTcDbJFRHGh2zaDurHGN7yEoCiQXPQx/FrzQQJ+0HwOjs5WsPdkkMyqANjezP/Np1vuJxvfyUhBWi6qUGURzSj+pQkaqr1C0rLbwFmaP8slAEslyDae6iz5OQdWQcRTmyWoTuAQFpiZrGJ+vqivIAgWm9a/gDNdhZpqwNQd7C9oiA6L93ZGqfOspNad6ptjbjaHbYPbo9C6IYyink2olmWRTCaZmZlhbm4Oh8OxbAWfy0c7NjZGLBZj8+bNl0TQNwpDQ0M88MADfPnLX2b37t03ejqXivNafK/dR9tlYmpqis7OzmuWu3e17oULVZithiiKhMNhwuEwtm2TTqeJxWKMjIwgSRLRaJRoNHrRwEatr+6s1/K5MAjDzOgnyDp+Qnn529GSRaLVUwqSs5jSlJt0sUX8TfTFLACnYrKpOkNdOM+hYR/jCQcltsy0YHJPZ5yvPFdBe0WBplCIGaA34Vwm3ZK/2cvfvs/Fz3asDeBVytvp0XQUswOAkNyKRxCplUU0a5Q6tR5TKCDZDo53V+Jy6xT8MgupIoFWSRJbGhfomzM4MqNiApvKc5RkPJzKmYwbxeu7RLh1z3+X3H/6KkuJcR1f/TTtb9nM//ezFWv+Vs8XODFW/M5l8XGypVUYQNg9Q87yMJt24PVqaKss4/zUj5Cc71r+u7RhmOx4GWnNicNpokRyoILi08lnXQhZmXm7DMuuBL8A88W8XdsWkYbuxCFKiJ40QtkAzYVyekc9/GhgjM6KDLvD5UiCCEIxSyQQdLCuJYQkn3s3JIoioVCIUKiYc5zL5YjH4/T09KBpGuFwmEgkQiAQYGxsjLm5uTcJ9wbgDaG9ABAKha759mh0dPSK+qItVZgBF60wWw1BEHA4HIRCIaqqqgiFQmSzWYaHhxkZGSGfzyNJEg6H45LGvKWmg0cH/w0Ei+HkKX6l+ZfwhWHBmUYAjJwMtgC2gKTYGP5RamsEdjWOcUejRsSr88SxEE5LZs622FSdpsyvse90kJuaU5T6DMZGQqyvSuHzF8gaAj/ImXyrbYJf7fgMr8QOICCywXE71c77ya7aVTUrMlWyRIkkEpSK1U7iog2QzTpIzbvIZBzMWRYpy0YVBE5NawzkXfgkk3bVwZbaNAF/guNxP/kzdmw/DnyVvTvvYXJdkJJdUZo++U7SX3iUyYgHsVQgn3YhrNoV3P6VPyPV2cC8HGSTWEJAgnENBNXGWlQnW//Tr1JpGEyVdIItIHt06vUQDaYbGYhrNnpaRVQs2iI+5pOQSUloSSf6vIqeUlltAE2aFusaAmxrraY62ERzqJTe6TR6TiauJpnXCzR5gwiA6pBoaC5Bki7d/aQoCoFAgIqKCioqKrAsi1gsRk9PD/Pz81RXV+NyuV6zpDs4OMiHPvQhHnroodcj4Z5Xe+ENQ7pLOX3XCoIgXBHpLqWEXazP1KVAluXlm6a8vBzTNJmcnGRgYIB0Or1M0uc7T8gZwsIkQ4DdDR8hZkPS0IpNA9wmql9HEG0sTcQ2JGTTj9+R5x2NOqIIo3EXB0Z8SIuuhfdtnaE/5mJwxsU9m2ZRRZuR4TChcAZ/IE/34XlOtN3GWPIwIwvHqfdXcKf/nbzL80uEJBGXsLL1n7Msxk2TKdMkbdnoNpRGMujZlfY4gmAzaVhkbZucbWMvLHDTd79E3cF/RWm5DSExj+tf/pGXGm6mXJKWU8QaZIlbvTdxkO/TWzrIZz7xSYZTM3yy/3u0HDFJlN6GLYg0v/xzao7uJ17fQv8td5OSQ1gIJIPDVJhBpnUbn6GSW8qgkB4nKW4lGSqqdbkcNo26qyiMJIl4VZuUaZNfUMinRUq8DjxqipBcIGy7SCx+d0FYqVIbmMuxbyBBU8SNzyERcCkcG09T6/MwaiZp8gQo8bkIBJ1XFaMQRRG3200qlUJRFFpaWkin0wwODjIxMUGhUECWZVRVverA7rXAwMAAH/rQh3j44YfZtWvXjZ7OleC8pPuG8ekahnHN82r37dt3yU77qy94uHQs+e6W/MAul4toNEokEjkr3UczNf77oYepCd+6/Jpp6RydfJQtVe9bnDsYGQk5LZPOKngdBtvrFhgc8TGcl+msSXN41Mtn7xrl+4ej5HWRX71jAtMUeO6p9TQ2x6lrmFsefz4P6XiAsdESspm1boYBV5xkDspKX4SJe5g3LeYti6VwmAIEJJFQKkFe0xgpiS5/9iO/8X7UfFFDwQiU8MJGGXPjAwxueSfbHAontTR528FOp0rWmscpupGCB7hjWwlf/fzXmPe/m2xD0WISJBNZ19BxwBkPLbUqRqOSZn60mZhp4ZZhwQBFttENAdFhYhUkahwmDaKbWVceQ7RxGRIOTWJCsxk1TJwCtCgKfsWg35SYyhu4ynIEHC4cBR+prEZiYSWv16NKNEbcnIpnsAFH1QLrA0HuiF55F+olLMmYWpZFa2vrmvWpaRqzs7PE43EymQyBQIBIJEI4HL4hVvDAwAAf/vCHefjhh9mxY8erfv5rhDe+T/dGYrWC0uW4E64Uq313tm2TyWSIx+McOXIEQRCW09E8Hg+qpPLB2pt5ZOg5mqO3A9DdZzCQ6yI2Y3L35g8gCHD3unm2hPIcGnfzRE+AZ04WcyADToNb1iU5POqla9TL6JyDmxYFdpZau1uLXSNyOYXx0SCT4wEMQ2JBmOCE9RwRaz1N8lYATs0VmNfH+JeJr/OxkjI2unZhL1qy85aNkRhm0FvFjCfAahHajp99d5lwAcRclnXb/5Dn27bjy6SQnWEsnKgCSIJAoPsQzvJqssItvPTvA8Q6/gfmKnK18wvYAS9a7iT+E/uQdt2B6agkH3dS6ZwinGtFlEQmTYuFxbRafdFv3Prso5zYfR9e28F0eJQJdSWO8KGaVtbnbPadmmNsPs8RTSPkWGAu46esRCbrMQnaXkxFRF8M1pWGnDgVwLDpmV5gKcVYSqmcFJPsDlXglK78VrVtm56eHiRJOotwAVRVXeOCmJ+fX86IUBRlORj3amgdnD59mgcffPD1TrgXxJuke5VYHTB7NQj3TAiCgNfrxev10tDQQKFQYGZmhv7+fvL5PMFgkFwiR0CPE0+fIuptprPNRbvxe/TFfsaTff+Tu1p+mzpvsdR0W3WWiO6k+6SXtCdNW22KsNeg1Kext9+PZQusK8vx+JiXBV0kZJsM7F/g58fyNLjWIQhQVpZm2FHgaz0PMzbfxVbX7TSVFEnXQ4iYdQyAk4UuNrp2IQgCbkGgtnqOJ6UUdq4oWF4iikT3/oSTt7wdcxXpGL4Afb//ecyyVhYKGqqs8HJeA+xldTKrcw/VTT3MzU8zZTdQaZiczL/MoeyjpMwRDHK8u+bThMu3Q8MHkQSNoD7EOK3MppuoTXlxCWdv9GKFQ3RGipannY0zLrvQkwqWIRDyOckWoNzv4NaWCPtGU8ym+5hLFjMWUs4UMjBrz5NegFxOwhEukAuklwN+Tv+icE5OxuMWqPD418hWXi6W8tZdLheNjY0XXZ+iKFJSUrJceJDL5ZiZmaGvr49CoUAoFCISiVxxeuOFcOrUKR588EG+9rWvsX379ms69msJb5LuRXChTg9nBsxeC3A4HFRVVVFVVUUqlaK7uxu3281t1h08NPwlqtb/GppSgio76ah8Ny3GW9HNAl/vD9IWKLDTZTFwKkJjxQIbOiax7KL/sbUiy3MngzhkE69b5+AocOIldkV+ETHSQBOQE3UmxVFqnUEcCQcfD/4OmiNBVC52NrZtGxOJiFSMrteNFyBYfH3KtHhxwI1ut7BgdvEO7y5kQWDdI/+L0Y07sORi+txcbSWpz/w5ank1w1oOEDFVlSorx8af/YDcez8GgCUUGB5v5h/Tf0S7/l42unbRoNzC8yedfO59Qf7wpd+hwhVHVeKY6ITVIWYWir5aT8rNK3l9TeBvCQE5zULbHtANBsJu9FEZ25QAm9iCxWMLcd7THqXUo7KrysXPhxaAIunmplw4SjQM0SQ3r1JSAm01fryyiluW8UgKHlnBLSko12A9WZbF0aNH8fv9NDQ0XPwD54DL5aKmpoaamhpM02Rubo7p6Wn6+vrweDzLVvDVVrH19/fzkY98hH/4h39g27ZtVzXWax1vGNK9HhbmUinwufxa10I/4XoikUgsC5f4fD5s22ZzcgvxmThduTRzLplC1sSxasuYyikc7Q8DAkOzbnqejGCYeRRBwBKKN5Ufie4XG9iiF3AH3ostrJCDy1JotBoZH7UQJAsJG9OhcjxzgHbnjmW/bYdrG8mRKt62P8dwm0V/QSONQEAU2VFRwM52oheK11SrrEU0DUxZIdW0nonf/TMcjqIVNqvs5eB8N/f7Po7l0Pn1nY/yFxRJt6Y6zfhoGHuhgv3Wz9noKgZjfn/zFoxE8UE5PD/Kx9ruoTf1LLOFOux0IwBTuTOb/qzgVvddHNELgIA278DjmaOq/CRbQrdweNhJfyzDP+0f57amEF73DJPTTZSHTBZ8eQpxB4VFrd3KgIP7OyuRrlIR7HxY6mcWDoeprb3yNj2rsTqF8Uy3lm3bhMNhotEoPt/l6UCcPHmSj370o/8hCBfeQKR7PbCUq7uadF/NgNmVYnJyktHRUTo7O5d1JwRBWN42Nts2z06PcIr5Nd3DpnMyTslEkCzARnH4kPBhCzaiDSW2gUeVOF44RiI7RsNYnshEgsjoDP7YLFJyFtllUfvs77P3pyfotSNoPi9Pjf0FTeu/iWEUl5sqwPs3/A0vrzOYLOjYdoFW1UupJKIliuRe1zTJyEAZ+kN/jjQsMbm1idCdf40sLuYS9x+js7SXnlCSiOjnhcxjWJj8YP4r3Bf4FcZHiwUyU8YIfjG0/B1NIY93wcO7gh9mPP0iWSPJQraZkvg6Ti6sJduIKCIoeeKFFSvuQEFjdYyktuo4LmeaQe1xblq/h7aycn7WN8vTJ2cRBBtFNnlXaxXfmRrAWZbHOx/FKcC9G0uvG+EuSZmWl5dfttDTpeJMt9ZSleXw8DDpdBq/3080Gr1oKucS4X79619n69at12WurzW8SboXwJmiN692wOxysSTUnkql2Lp163kXuygI3Flexx22zWx+nv995IucSo3Q5t+Kz7OVhOf8AirFJt81fLbhnfza05/ieOAotNqEUzaNEyadRgmfEqD22f00/tPLANy1ezsv3pKmbjgHREiYFv2agUGx6KFO8TOm95ESSgksuh6GTxeFZyZmIwiuAk6lmRK/SdZMYWaDuL71BSaUMYY+Xo9SpjJrTFEqV/PO0AeW5Rky1gJT8R1sqV3po/WD1JfZ4NzOne730683MD2qE0m08VLOYDXhhj06mayKZZz7Gkpi8ST5vBeXM41T9HIs9TghRy17NoU5PjXN9EwzW6rLCTg9qCjItsLbWyKUeq6fvoGu6xw5coSqqioqKi4u3nOtoCjKcjDOtu01wThZlpfdEKvlGPv6+vjYxz7GN77xDTo7O1+1ud5ovGFSxizLQtcvTXD6UtHV1cW6devweDyXXGF2o7AUMJFlmZaWlsuan2VbPNL7Db567MvU+xv4rQ3/jX/s/SdEXwONpbcBMJU6Qbl/AwCnZ17gV9e/jc+99AeUOEqYzk4xlS1KIlZ6S/jh+3+X08lpHn7hMaZfOk7b7t9CCVSyOzvH4/nizeUXBdYpMp5L8F0ezGuogsmG2m6k6V00NMWJhoexfnCYv/fpbPd+hlOFozSorTgUYdmiPpJ7gffcdDuOfICTvXNYts3ebD8JK0+V7KPDUY9GsUXQEj75ln6qAwqZtMr+FxvIR6bZPxrEKUDehkDJNA2VpxDENIJwYW0Ol/YA8Qy4FZGsbrGj0kul7/opeGmaRldXF/X19ZSWll6381wu8vk8MzMzxONxCoUC3/ve92htbeXLX/4yjzzyCFu2bLnRU7weOO8N+IYpjriSjsAXQywWIxgMoqrqDc1QuBiWrJtQKERTU9Nlz08QBDZHO2kPb+Tx4cd4YvwnxLVJmv0R3lu5h4FMDK+rEjEzy3dP/AHDif38aODfSWoJtpXuoNpbzclksUnQgpanPzHFTVXreX/HLdS2t5H3b+DgzFPs6djA6IjNlmd/SFVrJ+p5CPeR2b9lX/ZRtrvvBGDaMBEFkfJ8sdT53xf+nnK1ieqdNUTkW0kvOAnJZbhK4rR0DDM+6UWyVZTwGDvqK8jnc0zF4LimUyBAQPZRsEsWizOKa6bcq/Mbd48ScBXdF0fHbQpzYdyRAaocHqp0D0khj25KbC2/lfbADub00+h2/pzfQTbdtDlakB0O4lmDLWVuagKX3jvtcrHUIr2pqWm5RfprBbIs4/f7l4t8BgcHeeihhzAMg97eXizLoqOj40ZP81rjzW7AVwJJktB1HcMwrkmF2fVANptd7mx8tTfbzvLdfOWub/BHL/4evYketpftpClcSn0owqFEjIO2xT1bgdv2AAAgAElEQVTtf0JlNs8/Df4l82aSx4Z+dNY4T48c57nRHn5h/U7+09Z30Vk2z9ZgPS1hg78T/oxN+47hKasnu+22c87jwfB/XvO3SzXJrRKqeYvxG2TiFj95eQR3pFhCvKFtiLLqAnuHFgi4JbJpuKejHFU9Rd70c6QQJmvbrFdkymUHwYoEQ5pF91hRuGYqrfDFJ+rY2ZygpSyMVpgGwIw1IuS9IECJ7WQ4r1DnV3EqEoatIQsOQmoNYbWGkFqDU/JhmuaiiFGMTDJJnceLmougeyLXRTpxdYv0Jd2F1yr6+/v5+te/zr/8y7+wadMment76evru/gH30B4071wHti2TW9vLwA1NTWvCSX9M5FMJunp6aG9vR2/33/Nxi2YBV6eepGbK25FFmUmMhP8W/+3eXz0WXbVfZSIt4mJ+aPsH3mErDZ33nEcso8PbPpTWv2j3FHpI2MUuOc7f46SN/mDA5tw/uJ5jYFlDHl/yPhcK7JVx9sbZmhpKDA1GWBywoe2GOAy9CShP32Qam+IVCbL1P/zBSRvGbtvHeTFsQWe627FNFU2qAolkohVdhxBLmBPtjNrjxIOicwtlDGUUpbTxIKiQFSSiEgiyuLOYbqkm76JFn5hcxlNUQ+mrSMiIQjnfxgviRjF43FmZ2fXFK+43e6r3jUtPXQvt0X6jUBPTw8f//jHeeSRR9i8efONns71xnl/2DcM6dq2jaZpFz/wEseyLIt8Pk8sFiMej2Oa5nK6jMfjueEuhqmpKYaHh9m8efMVdca4HDw68AP+8uDnARAQWBe9k82LJcRHxr9Pf/xpJFGlxF1LyF1H2FNPyF2P31lscf94z+exrBgOSWE9t/PuwMcveD5VNdC0lU1Yn5YjZgr8JPlxIm43v7nrvTQHywlKPnq6GnG5NWobe6F7EuNfXyDVn6EQ9ZP7o/v56al1gM46xcQXnENNNpEvO4gt53CN34oowmqvVMayiJvFfzm7KHceFEWqwznU0kMcOrGLjVUK72g9W9XtUrBUvDIzM0Mul6OkpIRoNHpFxQaZTIbu7u5r/tC9Hjhx4gSf+MQneOSRR9i0adONns6rgTdJ93LGOVfAbCklJhaLkcvlCIVClJaWEggEXlUCtm2boaEhEokEmzZtetWEp5OFBL1zPXy3/1vsn34JtxpiZ+2DVAY6yOnzOGQf4qLFl9HmmMsMMZsdZnqhl9nMSnffba47uL/k19FtjeFCH83Ooi/PaQ2z7U4dRTEZHBnm4f/zZeqFcja0fJDTpdsZQqH1kc8SmpqimhKsVB5Z0xj6n/9MSayb2ugE6rZGBL8b24aDR2DfbDVBT5ZfunmWkfQQkxkTuf/tFKLd+KMW5unNOFUFZ6VAVB4hkXATn/ZimlIxD9W2iZkWcdOkYINPAYQ8llTggR1llKiVV3VNl9wQMzMzJBIJPB7PspbyxYoNrmeL9GuNJcL953/+5zei7/Z8eJN0L3WMS8lQWKrMicVipFIpAoHAck7i9RQIsSxr2eXR2tp6Q33Mjw3+iD9/5U+5o/5+DDHAfG6C2cwQc9lh8kbqksd5q/tB3uZ8K3e8cxpZXllusXv/Au3wEJYA//Cln1zxPP/rO4dxKsVxDUNi79PNiNEx0sEupLkGHLPttG07SShgF4s5TJkDL9avsbRt2+aIpmPZEHRmGcs5+PBNIpWexiue15lYckMsWcFLboilNKvVa3F+fp6enh46Ojpe8x1xlwj3m9/8Jhs3brzR03k18cYnXShu3a4UV1phtpSTGIvFmJubw+12Lyt+Xcugia7rHD16lFAoRF1d3Q13b5yJ279TrPjaWrqVQ7FDl/SZOncdw9lh7q3+KK2DB3hbn4jkVDm43sEXRwwSof1knQJBpZVW1/2EldbLmtMnbqok6iuQNeLo9hxRb4bnn15HtMxLTb2P2ewUA0dsamoTzAe7qPMFSU/WMHh6bUDStm1ezmtEXQKBoErvVIHP3F6HS7l+D9ilNjzxeHzZDRGJFBtp9vf337AW6ZeD48eP88lPfvI/IuHCm6R7flzLCrOl0shYLMbMzAySJFFaWko0Gr0qv2sul6O7u5v6+nrKysqueJzrib3jz1LprSLPEMOZYwwkJjgxM0xBk8gaBcbTY6iiA80q4FVd3N2wi3bXnfyPrs8tj3FLt8YHn8nzpx/1MhM8vxXvEEpodN1Bs+MXz/l+uVvhF7dV4HCs8gv//+2de1BTZ/7GnwSQiyI3CaUGBEGQi0BcHFFrB2u1ihLXzqy6Ov2tY61d2+5W66V2Wbu03arbquu4tnZWre3aqrQSIESM9YK11QrVAoJQwQvIRUiCCCRccju/P9hzlqsEOElO4P3MOFM1zXlVeHLO9/I8qlaUPtLgqQYdPD2dEDTJAzxeG8puV+BxgyMCwh6h8qEjKuvGoNXYEXCpt9dDo+UzkUJRT7ui8GEzRMKxmBvaM0nYXNCRTpWVlaivr4enpyd8fHxY8TwwF0VFRXj55Zdx8uRJREREWPs41mBkiK5Wqx2Qkbm5N8za2tqgVCqhUCiYNGCBQDCgRlxjYyOKi4sRHh4ONze3/v8HK6LT6XCl9jgcHBwQ4BYDH8dg2PP/JwpGygh5uQwHbu6FRtuGON+Z+OnhlSe+56rQ/0OTrgmZ99K7/Pq8p38Pp1Yx83PfsY6YPM4FPI0e+iYteDzA22c0fMePgZOTPSiKQm6NGrrKZriPccA4f1dk3y7HI7UDWg08k77QXRz40BkpvDLTD6MdLTttSUekR0dHQ6fTQalUQqVSAUAXK08uPAEVFRVh7dq1OHnyJMLDw619HGtBRLc7lt4w660RR3et+7q2QqHAvXv3bOJRkr4bnzhxYr/zws3aJvyn+ChO3UmBgepYp43wmoJP5xwCj8eDVqtFwYM8fHxrJ+q0tUgQJEKuPM28dpx9JGa4JgEAHO15SJzigwBPZ+bvsa1Vj5rqZqgULaAoYJy3M3yFrnBwtMfPv9QCBgoaQzvutANGquOLnAIFh1F2Hf9NaaHT82Ew8jryydDxOgCYHeSBuEAPc/wV9gkdkR4TE9OjZNW5DNHS0sJMQ3h4eFil5l9YWIhXXnllpAsuQES3K9Ze6aUbcUqlEo2NjRg7diwEAgHTiKMoCg8ePIBKpUJUVJRZBurZhO6kD/RuvLzpPg7k70Nu3TV8u0gKH5eupZMWfQv+8fOHyK463+XX/UbFI2b0q3B3v4M1U+fCjt97bVXbbsDDmmYoaltgNFLw8HRCs1oLvdYIIx/QjbLDqFF2GG2g0KLRQRT7FEY5dtg0AjwYjQbw//veFEWBAobkbTsYampqUFNTg5iYmH4nVbonS3fuL1iiDHHz5k2sW7cOKSkpCAsLM/v1OA4RXRquWTJ2b8Q5OTlBr9fD0dERERERnNyC68yjR49QWlpqtk46RVEoeXQLjdrH0Oha8H7O9j5f+++5X2CyZ89vdp3OgLoaDWofqmEw/HeSgc+D/X9vX/l8HtzcHTFxkgfs+0jatQZDiUjvbL1oiTIELbjffPMNJk8eWMNzmDIyRFen0/Xpv2ALlow6nQ75+fng8/mMpaS3tzcEAoHZFyAGQ21tLR48eIDo6Gg4OprPV6AzeqMe35adQFVzJTLvZ3T5vfcm78RvJsT26ueq1WqRl1cADzch2lr50PN5aLPnY4q/K8aM4UYYY2cqKirQ0NCAKVOmsDKGSJchVCoVNBoNq2WIgoICvPrqq0RwuzKyRdcWBLetrQ03b96En58fY8nXWyPO29sbY8aMsfqfoaKiAvX19RZd0HgSOp2OCVdUq9Vwd3dnZqfb29tRUFCASZMmwcvLy9pH7Rc67TkyMtIsTzp0GUKlUvUYcxxoGSI/Px9//OMf8e233yI0NJT1s9owI1d0rV2/NQW6Jjp58mQmm6o7dCOuc8NEIBA8sRFnDuhUWZ1Oh/DwcE6WPzqnJatUKmi1Wvj7+8Pf35/T9XGKonDnzh1otVqEh4db5N+VLkPQd8EURTFLGf19uOfl5WH9+vWsCa5cLsebb74Jg8GAtWvXYtu2bV1+/8GDB/jDH/6Ax48fw2AwYNeuXUhISBjydc3EyBDd7jHstiC4SqUSd+/eHVBN1Gg0MhtxvTXizIXRaERRURFcXFwGZSFpaRobG3Hr1i0EBwczwsLj8RgPDUuk25oKRVG4ffs2KIrqNbHXUnSPY6eXMjw9Pbt8wNKCe+rUKYSEhAz5ugaDASEhITh37hyEQiGmTZuGEydOdJmAWLduHUQiEdavX4/i4mIkJCSgvLx8yNc2EyMvgr1zw4yLd2MAUFlZibq6OkydOnVAj3V8Pp+5G6EbcbR4Ozs7M6LC9kbczZs3IRAI4Ofnx9r7mov6+nqUlZVBJBIx43Z0WrJSqWTSbelcL0t7aHSGjki3t7fHpEmTrPph1j2OnX5iuHPnTsesc24uwsLC8Le//Q2pqamYNGlS/29qArm5uQgODsbEiR2r1StWrEBGRkYX0eXxeGhq6lgxb2xsxNNPD837wloMuztdvV7P+fot/Yiu1WpZnVDo3LFWKpVdggSHMufb1taGgoICBAYGciqRoC/q6upQUVGBmJiYJ36YGQwG5q6uqamJyfXy8vIy6xNDZ4xGI27dugUXFxeTItKtBUVRqK2txa5duyCTyfD0009j6dKlePHFF1mZxz116hTkcjkOHz4MADh27BhycnJw4MAB5jUPHz7E/Pnz0dDQAI1Gg/Pnz3M5yHJk3OnaQsPMYDCgsLAQY8aMQWRkJKtn7B4WSDfiSkpKoNfr4eXlBYFAMKBGnFqtZurNXPdrBTrGrOrq6iASifq906fXtAUCQZcnhnv37sHJyYlpLplrMoOOSHdzc0NAQIBZrsEWPB4PNTU1yM3NxQ8//ABPT0/I5XLk5eWxIrq93fx1/xo9ceIEVq9ejU2bNuGnn37CSy+9hKKiIs4+yfbFsBLdLVu2ICAgAImJiXjqqaesfZwe0F10oVBokUcjJycn+Pn5wc/Pj+nu379/HxqNpos1ZV9ftA0NDbh9+zYiIyM5bx8IAOXl5Xj8+DFiYmIGfKfK4/Hg7u4Od3d3TJo0iXliKCwsZJpLbM64miMi3Zxcv34df/rTn5Camorg4GAAwMqVK1l7f6FQiMrKSubnVVVVPb5Hjhw5ArlcDgCYMWMGk71mC09fnRlW5YW7d+9CIpFAKpWCoigsWrQIiYmJCAwMtPpdr1qtRmFhIUJDQ60eqdJbI677YzX9iB4VFcXJGeHOUBSFsrIypuvP9p1Pb45fgzUeBywTkc4mP//8M/785z9DIpEgKCjILNfQ6/UICQnBhQsXMH78eEybNg3Hjx/vYpazcOFCLF++HKtXr0ZJSQnmzp2L6upqq39v98HImF6goetP6enpSEtLQ0NDAxYsWACxWIywsDCLP47QTR0u3jF2fqyur6+Hk5MT7Ozs0NbW1uuuP9cwGo1MEyokJMTs34D/yz9T4vHjx3B1dWU+sEyZV6YXYIRCoUUj0gdLbm4u3nzzTaSnpyMwMNCs18rKysKGDRtgMBiwZs0aJCUl4d1330VsbCzEYjGKi4vxyiuvQK1Wg8fj4aOPPsL8+fPNeqYhMLJEtzsNDQ3IzMxEWloa7t+/j+eeew5isRi/+c1vzN4wqaqqwsOHDxEdHc1ZGz4aiqJQXFyMpqYm2NnZgc/nM9aUXDTcMRgMKCoqwtixYxEQEGDxOx6KotDU1MR8YDk4ODCNy96eDrgakd4Xubm52LBhA9LS0swuuMOQkS26ndFoNJDL5UhLS0N+fj5mzZqFJUuWYNasWaze1dGD7i0tLYiMjLRYN3yw0F10R0dHZmyJrpkpFArodDrGmpILG3H0I7qPjw+EQqFVz0LT2trKTI4YDAZmHM3V1ZUR3KCgIMaMnMvk5ORg48aNSE9P53yTj6MQ0e0NrVaL7OxsSCQSXLlyBSKRCImJiZg7d+6Q7uwMBgNu3boFZ2dnBAcHW12g+kOv1+PmzZsYN25cn00dvV7PCDDdiBtKXXMo0ALm7+/PyYYp0HUtubm5GVqtFgEBAfD39+d8t/3atWt46623iOAODSK6/WEwGHD16lWkpaXhwoULCA4OxuLFi7FgwYIB2RVqtVoUFBTA19eXM3dgT4KeqJgwYYLJqRR0I65zXVMgEFhkvrW1tdWmfBRaWlpQUFCA8ePHo7W1FY8ePWICKNmOdGKDn376CZs2bUJGRgYmTBhc4jEBABHdgWE0GlFQUIDU1FTI5XKMGzcOiYmJWLRoEby9vfu8c9VoNCgsLLQZQaDPGxISMuiJCrquqVAomEacQCAwi4crHTkeFhZmEzPDvUWk0wGUtC8En8/nzFry1atXsXnzZkilUpsYY+M4RHQHCz2ORI+iOTg4YNGiRViyZAmEQiEjwPX19SgtLUVkZCRcXV2tfOr+efz4MZMoy+ZEReeNONrnQCAQDLkRR8cW2ULkOGB6RDpdN1cqldBqtUwdeOzYsRYtS129ehVbtmxBRkYGEVx2IKLLBhRFobq6GmlpaUhPT4darcbChQuh0+lQXl6OAwcOWMxXdigoFAomb8ucM7i0z0HnRhzdWBqIoNBG6bYQWwT87wMiKipqQMbu3deS3dzcGHtKc5Ztrly5gq1bt0IqldqEr4aNQETXHCiVSqxduxYFBQXw8vJiRtFEIhFnmyWVlZVQKBQWjwGiG3G0321na8on/V3RSxqWNEofCvQW31A/ICiKYsxm6EQRugzBZtnmxx9/xNtvv00El32I6JqD5ORkNDY2Yvfu3WhpaUFWVhYkEgmKi4sxe/ZsiMVizJw5kxMm3xRF4e7du2hpaUFERIRVR9hoE22FQvHERlx1dTUz48y1hlNv1NfX486dO2Z5guhctgHYid754YcfsG3bNiK45oGIrjlQq9W91uva29tx/vx5SCQS5OTkMBs18fHxVlmptfTW1kDovGCgUqng6OgIgUCA1tZWqNVq1uJqzA0dkd6fsxkbdF9Lpsf3nuSj0Z3Lly/jL3/5C6RSKStTNv0ZkAPAN998g+TkZPB4PERHR+P48eNDvi6HIaJrLfR6PX788UdIJBJkZ2dj8uTJWLJkCebNm2eRhpter0dhYSE8PDwwYcIETglub6jVavz666/QaDRwcXFhNuKs3dl/ErW1taisrLTK2nT3ZGlT1pJpwc3MzGTF+8EUA/KysjIsW7YMFy9ehIeHBxQKhU1s5Q0BIrpcwGg04pdffkFqairOnj0LX19fZhTNHCNm9Axu59w1LtP9jlyr1TKP1HRnXyAQDLgRZ05qamqYEoi1y0imrCWzLbhAx2xvcnIyzp49CwDYuXMnAOCdd95hXrN161aEhIRg7dq1rFzTBhgZfrpch8/nIzY2FrGxsdixYwdKSkogkUiwbNkyODs7Y/HixRCLxfD19R2yqLAxg2tJaB8FV1dXxhXO0dERQqEQQqEQer0e9fX1qKioGFAjzpxUVlZCqVQOykrSHPB4PLi5ucHNzQ3BwcHMWnJRURGSkpLg7++PX375BefPn2fV3ay6urpLTVgoFCInJ6fLa0pLSwEAs2bNgsFgQHJyMhYsWMDaGWwJIrpWgsfjITw8HOHh4UhKSkJFRQXS0tKwdu1atLe3M7aUg1kjpkeWbGVmmPZReFIUkL29PXx8fODj49OlEXf79u0BO32xQWfvXq5Oqjg7OzOBnG+88QZ2796N0NBQLFy4EM8//zz27NnDyhODKQbker0eZWVluHTpEqqqqjB79mwUFRXZxJIL2xDR5QA8Hg8BAQHYuHEjNmzYAKVSifT0dLzzzjuoq6vDvHnzsGTJEkyZMqXfb3A6+SAmJsYmZlrptWk/Pz+TfRT4fD68vLzg5eXV5ZH6/v37TCOO7dEqGoqicP/+fajVakRFRXFWcDuTnZ2Njz76CDKZDL6+vtBqtSgsLGStRGOKAblQKERcXBwcHBwQGBiI0NBQlJWVYdq0aaycwZYgNV2O09jYiNOnTyMtLQ23b99GfHw8xGIxpk+f3uORtqqqCrW1tTYzYtXW1ob8/HwEBwez5rzVfbSK3ohjoxFnjYj0oXLx4kUkJycjMzPTbHV9UwzI5XI5Tpw4gS+//BIqlQoikQj5+fk2sS4/SEgjbTjQ2tqKc+fOITU1FTdu3EBcXBzEYjGeeeYZ7NmzB3PmzOlVjLkIXXM2Z/Zae3s744zW3t7OzLYOZsWWjkgHgNDQUJsSXJlMZnY3tv4MyCmKwqZNmyCXy2FnZ4ekpCSsWLHCrGeyMkR0hxs6nQ6XL1/Gt99+i4yMDAQGBuL111/H/PnzB7R6ag2s4aNAN+Joq0U6csfDw6PfEgFt7u7g4GD1iHRTuXDhAt577z2LCC6hV4joDkdaWlqwYsUKzJgxA/Hx8ZBIJDh37hwmTJiAxYsXIyEhAR4eHtY+Zhe44KNAN+KUSiUaGhowZswYZiOueyPOViLSO3P+/Hl88MEHkMlkJtt1EliHiO5wRK1W48KFC1iyZAnza7RIpKamIisrC25ubli8eDESExPh4+NjVdFQKBQoLy/nlI8CRVFobm5mrClHjRrFzLY6ODjYTEQ6zblz5/D3v/+dCK71IaI7EqEoCvfu3eNEQrKt+Ci0tLQwzmj0PPCkSZM4X7IBgO+++w47duyATCYb7ttetgAR3ZGONROS6ZlWW/FRoOeGx40bB3t7e1Yacebm7Nmz2LlzJxFc7kBEl9CV3hKSExMTERsby5ow0iNW7e3tCA8Pt4mZVjoivfvccPdGnLu7OwQCgUmNOHNDC+7p06fh7e1t1bMQGIjoEvpGo9Hg7NmzkEgkTEIyPYo22FIARVEoKSmBnZ0d55zN+sLUiHSj0YjHjx9DoVAwjTg688zS/gtyuRz/+Mc/IJPJiOByCyK6A6E/m7q9e/fi8OHDsLe3h7e3Nz7//PNhE+LHRkKy0WhEYWFhFx8FrtPe3s4sagxkYJ9uxNHWlA4ODsxGnLmbhWfOnGE2zYjgcg4iuqZiik1ddnY2pk+fDhcXFxw8eBCXLl1CSkqKFU9tHgaTkEzHuXt7e9uMMTadMBwaGjrkETu6EadUKkFRFDMJwXYjLisrC7t374ZMJmNtm4/AKkR0TcUUm7rO5OXl4Y033sCVK1csdkZrQCckSyQSyOVyeHl59UhIbm5uxq+//jogHwVr09LSwiQM9/VBMlg6W1O2tbUx1pRDbcSdPn0ae/bsIYLLbfr8B+Z+Z8PC9GZTV11d3efrjxw5goULF1riaFaFz+dDJBLhgw8+QG5uLvbv34/m5masWrUKCQkJ2LlzJ2bPng0XFxebEVy1Wo2CggJERESwLrgAMGrUKIwfPx4xMTGYNm0a3NzcUFlZiWvXrqGkpAQqlQpGo3FA7ymTybB3716cPn2aFcGVy+UIDQ1FcHAwdu3a1efrTp06BR6Ph+vXrw/5miMd4jLWDVNs6mi++uorXL9+Hd9//725j8UpeDweQkJCsG3bNrz99tu4fPkyVq1ahZCQELzxxhtYuHAhEhMTMXnyZM7Wc02NSGcLOzs7CAQCCAQCphGnVCpRVlaG0aNHQyAQ9NuIy8zMxL59+yCTyVgxijEYDHj99de7lNLEYnGXUhrQ8Xe1f/9+TJ8+fcjXJBDR7YEpNnVAx6rlhx9+iO+//54z21XWoLW1FVu2bIFcLkdkZCRUKhWkUinee+89VFZW4vnnn+dcQnJjYyNKSkoQHR1tlRggPp8PT09PeHp6gqIoqNVqKBQKVFRU9NmIk0ql2L9/P06fPs2aKX1ubi6Cg4MxceJEAMCKFSuQkZHRQ3S3b9+OrVu3Yvfu3axcd6TDje8CDjFt2jSUlZXh/v370Gq1OHnyJMRicZfX5OXl4dVXX4VUKh3xg+guLi744YcfEBkZCaAjpXbNmjWQSqW4fPkyYmNj8cknn2DGjBnYvHkzLl++DL1eb7XzNjQ0WFVwu8Pj8eDq6oqgoCBMnz4dYWFhMBgMKCwsREZGBv7617/is88+w/79+yGTyVhNATGllJaXl4fKykosXrx40NehKArPPPMMzpw5w/zaN998M2KTI4jodsPe3h4HDhzACy+8gLCwMCxbtgwRERF49913IZVKAQBbtmyBWq3G7373O8TExPQQ5ZFGX3f6rq6uWL58OU6ePInr169j0aJFOHXqFGbOnInXXnsNcrkcbW1tFjtnfX09SktLIRKJOGvw7uzsjAkTJiA2NhazZs1Ce3s79u3bB41Gg48++gj5+fmsXau/UprRaMTGjRuxZ8+eIV2Hx+Phs88+w1tvvYW2tjZoNBokJSXhk08+GdL72ipkeoFgcayRkEyb7VgiIp0t0tLS8Omnn0Imk8HR0RHnz5+HXq/Hiy++yMr79zep09jYiKCgIKbmXVtbC09PT0ilUsTGxg74elu3bsXo0aOh0Wjg6uqK7du3s/Ln4ChkZIzATSyRkGzNiPTBIpFI8NlnnyEzM9Ns9pymJD50Jj4+Hrt37x6U4AIdm49Tp07FqFGjcP369eHeCyEjY7bESBrjoROSd+7ciRs3buDjjz+GSqXCsmXLsHjxYhw8eBDV1dW9PgqbQk1NDaqrqyESiWxOcGUymVn9kE0ppbHJ6NGjsXz5crz00kvDXXCfCLnT5RimbMQBHWM8ixYtglarxYEDBwZ998FVKIpiEpIzMjLQ3t6OhIQEiMVikxOS6Yj06Ohom3A3A4DU1FT8+9//RmZm5rBMyk1OTsaYMWOwefNmax/F3JA7XVuh8xjPqFGjmDGe7tBjPE5OTlY4pfnpnJCcnZ2NjIwM+Pj44J133sGzzz6L999/HwUFBX0uF5SXl6O+vh4xMTE2I7inTp3CoUOHIJPJhqXgEjogossxLDXGY0vweDwIBAKsW7cOWVlZuHjxIqKiorB3717MnDkT27Ztw9WrV2EwGGA0GpGVlYWmpiabiUgHOkaoDh8+jMzMTLNsxxG4A1mO4MQZCW8AAAYnSURBVBimjvF88cUXFjwVt3Bzc8PKlSuxcuVKJiH52LFjePPNN+Hu7o7Ro0cjJSXFpgT36NGjI0Jwk5OTrX0Eq2MbX5UjiP424uj11fj4eAQEBODatWsQi8U23UwbCs7OzhCLxTh69Cji4+Ph7e2NoKAgPPvss3j55ZeRkZEBjUZj7WP2SUpKCo4ePQqpVDrsBZfQAWmkcQxLj/EMF3JycpCeno4dO3aAx+PBaDQiNzcXqampnE1IPnnyJL788kvIZDKzzScTrEafjTRSXuAYncd4DAYD1qxZw4zxxMbGjvjtt76YPn16F0MWPp+PuLg4xMXFMQnJEokES5cu5URC8okTJ3Ds2DEiuCMQcqdLGFHQCclpaWmQSqUwGo0WT0g+fvw4vv76a2RmZlrE4YxgFchGGoHQHWskJH/99dc4fvw4EdzhDxFdAqE/zJ2Q/NVXX+HkyZOQSqVEcIc/RHQJA6O/cE6gY9QpOTkZPB4P0dHROH78uBVOah5aWlogl8tZS0g+duwYUlJSkJmZyXpeGoGT9F2noijqST8IIxC9Xk9NnDiRunv3LtXe3k5FRUVRt27d6vKa0tJSKiYmhnr06BFFURRVV1dnjaNahPb2dkoul1Pr1q2jIiIiqFWrVlEpKSmUSqWiNBpNvz8OHjxIPffcc5RarWbtTGfOnKFCQkKooKAgaufOnT1+f8+ePVRYWBg1ZcoU6rnnnqPKy8tZuzbBJPrUVSK6hB5cvXqVmj9/PvPzHTt2UDt27Ojymi1btlCHDh2y9NGsjl6vpy5fvkxt3LiRioqKopYuXUp9/vnnVE1NTQ+xVavV1MGDB6m5c+eyKrimfChevHiR0mg0FEVR1KeffkotW7aMtesTTKJPXSXLEYQemLKKXFpaitLSUsyaNQtxcXGQy+WWPqZVsLOzw+zZs7F3717k5eVh+/btuHfvHsRiMZYuXYqjR49CoVCAoij85z//QWpqKqRSKaslBVP8OebMmcMkY8TFxaGqqoq16xOGBpnTJfSAMiGcU6/Xo6ysDJcuXUJVVRVmz56NoqKiEWXUQicki0QivP/++ygrK4NEIsHKlSvR0NAAd3d3XLhwgfVYoN4+FHNycvp8/UhJrLYViOgSemBKOKdQKERcXBwcHBwQGBiI0NBQlJWVYdq0aZY+LifonpB848YNjB8/3iw5bKZ8KNKM1MRqLkPKC4QemBLO+dvf/hbZ2dkAAJVKhdLSUiZVdqTD4/EQGxsLX19fs7z/QBOrpVLpiDYN5xpEdAk9MCVR4IUXXoCXlxfCw8MxZ84cfPzxx6zF6xCeDEmstm3InC6BYINkZWVhw4YNjD9HUlJSF3+O559/HoWFhczdtr+/v1kieAh9QpYjhjuVlZV49tlncePGDXh6eqKhoQFTp07FpUuXMGHCBGsfj0AYaZC4nuGOn58f1q9fz2yObdu2DevWrSOCSyBwDCK6w4iNGzfi2rVr2LdvH3788Uds2rTJ2kcaMv0lIz948ABz5syBSCRCVFQUsrKyrHBKAsF0SHlhmHH27FksWLAA3333HebNm2ft4wwJU5KR161bB5FIhPXr16O4uBgJCQkoLy+33qEJhA5IeWGkcObMGfj6+qKoqMjaRxkypmxe8Xg8NDU1AQAaGxt7HZ0iELgEEd1hRH5+Ps6dO4dr167hn//8Jx4+fGjtIw0JU9aRk5OT8dVXX0EoFCIhIQH/+te/LH1MAmFAENEdJlAUhfXr12Pfvn3w9/fHli1bsHnzZmsfa0iYsnl14sQJrF69GlVVVcjKysJLL70Eo9FoqSMSCAOGiO4w4dChQ/D392fquK+99hp+/fVXm17/NGXz6siRI1i2bBkAYMaMGWhra4NKpbLoOQmEgUAaaQTOYkoy8sKFC7F8+XKsXr0aJSUlmDt3Lqqrq60SNkkgdII00gi2hynryHv27MGhQ4cQHR2N3//+9/jiiy+I4BI4DbnTJRAIBPYhd7oEAoHABYjoEggEggUhoksgEAgWhIgugUAgWBAiugQCgWBB+stII7M3BAKBwCLkTpdAIBAsCBFdAoFAsCBEdAkEAsGCENElEAgEC0JEl0AgECwIEV0CgUCwIP8PWt5q0fGLcekAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.plot_trajectory(obs1)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "collapsed": true, "id": "FWoV2V9PN02V" }, "source": [ "For more details, see [5. How to Log and Visualize Simulations](tutorial05.html)." ] } ], "metadata": { "celltoolbar": "Edit Metadata", "colab": { "collapsed_sections": [], "include_colab_link": true, "name": "tutorial01", "provenance": [] }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 1 }