From 07c9e637a09185dbf7041d8ccc7135bed51037ee Mon Sep 17 00:00:00 2001 From: Sawyer Fuller Date: Fri, 7 Apr 2023 13:09:23 -0700 Subject: [PATCH 1/5] add new examples of interconnect and simulating sampled data systems. --- doc/examples.rst | 6 +- examples/interconnect_tutorial.ipynb | 363 +++++++++++ .../simulating_sampled_data_systems.ipynb | 584 ++++++++++++++++++ 3 files changed, 951 insertions(+), 2 deletions(-) create mode 100644 examples/interconnect_tutorial.ipynb create mode 100644 examples/simulating_sampled_data_systems.ipynb diff --git a/doc/examples.rst b/doc/examples.rst index a7ddfacde..1ea328bd7 100644 --- a/doc/examples.rst +++ b/doc/examples.rst @@ -8,7 +8,7 @@ Examples The source code for the examples below are available in the `examples/` subdirecory of the source code distribution. The can also be accessed online via the [python-control GitHub repository](https://github.com/python-control/python-control/tree/master/examples). - + Python scripts ============== @@ -44,10 +44,12 @@ using running examples in FBS2e. cruise describing_functions + interconnect_tutorial kincar-fusion mhe-pvtol mpc_aircraft - steering pvtol-lqr-nested pvtol-outputfbk + simulating_sampled_data_systems + steering stochresp diff --git a/examples/interconnect_tutorial.ipynb b/examples/interconnect_tutorial.ipynb new file mode 100644 index 000000000..1fc7f7d07 --- /dev/null +++ b/examples/interconnect_tutorial.ipynb @@ -0,0 +1,363 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "76a6ed14", + "metadata": {}, + "source": [ + "## Interconnect Tutorial\n", + "\n", + "Sawyer B. Fuller 2023.04" + ] + }, + { + "attachments": { + "abea3596-e68b-445a-a86f-943dfcbde669.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "3cfc972b", + "metadata": {}, + "source": [ + "### Goal: Create a single dynamic system that implements a complicated interconnected (ie, realistic) system such as the following:![image.png](attachment:abea3596-e68b-445a-a86f-943dfcbde669.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "c56846b0", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np # numerical library\n", + "import matplotlib.pyplot as plt # plotting library\n", + "import control as ct # control systems library" + ] + }, + { + "cell_type": "markdown", + "id": "9a123aa4", + "metadata": {}, + "source": [ + "## preliminaries\n", + "\n", + "The representation of all systems in the interconnected system will be a linear, time-invariant system in state-space form given by\n", + "\n", + "$\\dot x = Ax + Bu$,
$y = Cx + Du$ \n", + "\n", + "for continuous-time systems, and \n", + "\n", + "$x[k+1] = Ax[k]+Bu[k]$
$~~~~~~~y[k]=Cx[k]+Du[k]$ \n", + "\n", + "for discrete-time systems. $x$ is the *state*, $u$ is the *input*, and $y$ is the *output*. All of which are possibly vector-valued. " + ] + }, + { + "cell_type": "markdown", + "id": "c015dcd3", + "metadata": {}, + "source": [ + "## auto-splitting\n", + "\n", + "A signal is automatically routed into every system that has an input of the same name\n", + "\n", + "```\n", + " u y1\n", + "u +--> sys1 --->\n", + "---| \n", + " +--> sys2 --->\n", + " u y2\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "cbc685f2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\n", + "\\left(\\begin{array}{rllrll|rll}\n", + "-0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\hline\n", + "0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "$$" + ], + "text/plain": [ + "['y1', 'y2']>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# arbitrary example systems\n", + "sys1 = ct.tf(1, [10, 1], inputs='u', outputs='y1')\n", + "sys2 = ct.tf(1, [1, 0], inputs='u', outputs='y2')\n", + "\n", + "# create interconnected system\n", + "interconnected = ct.interconnect([sys1, sys2], inputs='u', outputs=['y1', 'y2'])\n", + "display(interconnected) # 1-input, 2-output system" + ] + }, + { + "cell_type": "markdown", + "id": "8d80cc7c", + "metadata": {}, + "source": [ + "For this system, the input has a single value $[u]$, while the output is a two-element vector $y=[y1, y2]^T$." + ] + }, + { + "cell_type": "markdown", + "id": "002e7111", + "metadata": {}, + "source": [ + "## auto-summing\n", + "\n", + "Systems with output signals of the same name are automatically added.\n", + "\n", + "```\n", + " u1 y\n", + "---> sys1 ---+ \n", + " |\n", + " + V y\n", + " O----->\n", + " + ^\n", + " |\n", + "---> sys2 ---+\n", + " u1 y\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6f932077", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\n", + "\\left(\\begin{array}{rllrll|rllrll}\n", + "-0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\hline\n", + "0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "$$" + ], + "text/plain": [ + "['y[0]']>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sys1 = ct.tf(1, [10, 1], inputs='u1', outputs='y')\n", + "sys2 = ct.tf(1, [1, 0], inputs='u2', outputs='y')\n", + "\n", + "# create interconnected system\n", + "interconnected = ct.interconnect([sys1, sys2], inplist=['u1', 'u2'], outlist='y')\n", + "display(interconnected) # 2-input, 1-output system" + ] + }, + { + "cell_type": "markdown", + "id": "aa2b727c", + "metadata": {}, + "source": [ + "## summing junctions\n", + "\n", + "Use a summing junction to interconnect signals of different names, or to change the sign of a signal. \n", + "\n", + "```\n", + " u w \n", + "---> O ---> \n", + " ^\n", + " | -v\n", + " |\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "8d374ea0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\n", + "\\left(\\begin{array}{rllrll}\n", + "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&-1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "$$" + ], + "text/plain": [ + "['w']>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summer = ct.summing_junction(['u', '-v'], 'w') # w = u - v\n", + "display(summer)" + ] + }, + { + "cell_type": "markdown", + "id": "aa2f9097", + "metadata": {}, + "source": [ + "## constructing the goal system depicted above" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b62a1549", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\n", + "\\left(\\begin{array}{rllrllrllrll|rllrll}\n", + "-2\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&-10\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&10\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "-2\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&-1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&-10\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&10\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}&-0.&\\hspace{-1em}01&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0.&\\hspace{-1em}1&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\hline\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "$$" + ], + "text/plain": [ + "['theta']>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# constants\n", + "K = 10\n", + "zc = 0.001 # controller zero location\n", + "pc = 2 # controller pole location\n", + "tau = 1\n", + "J = 100\n", + "b = 1\n", + "\n", + "# systems\n", + "C = ct.tf([K, K*zc],[1, pc], inputs='e', outputs='u')\n", + "lopass = ct.tf(1, [tau, 1], inputs='u', outputs='v')\n", + "P = ct.tf(1, [J, b], inputs='w', outputs='thetadot')\n", + "integrator = ct.tf(1, [1, 0], inputs='thetadot', outputs='theta')\n", + "error = ct.summing_junction(['thetaref', '-theta'], 'e') # e = thetaref-theta\n", + "disturbance = ct.summing_junction(['d', 'v'], 'w') # w = d+v\n", + "\n", + "# interconnect everything based on signal names\n", + "sys = ct.interconnect([C, lopass, P, integrator, error, disturbance], \n", + " inputs=['thetaref', 'd'], outputs='theta')\n", + "display(sys)" + ] + }, + { + "cell_type": "markdown", + "id": "897a9264", + "metadata": {}, + "source": [ + "Finally, we can use the interconnected system just like we would use any other system object, such as computing step and frequency responses. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7a773597", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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K/rkhj3JCGL+fhJwTxuoJLSfMYU7bdI+dGejhCUII4dadauB0MYPjhRLcvPvPRM7TiUXP5ix6NVfD3/QrtYSIEj08YWX08AS3bZhyjqU3J+s7JuSbk7nql4+bkw0dd9ScsKQdPnJCX7mtYsGyLM7nlWFr6g3sOHsTd+7+s0IRHeqJ0V0C4Fx4HqOGU07w+ftJyDlhrJ695cT96OEJG2kIoD3eiGkIHzcnm3oO1zeKC/nmZK76FdON4vYcB0va4SMn9JXbIhbRLX0R3dIXb4/shD8vFOKnlOvYn3kLqbmlSM0thVwixYm6DDwb2xLRoV4W748nppwwZ3xcEnJOGKtnTzlxf9umookdIYQQQVHIpBjeORDDOweisKwKv6Tm4cdTObhUWIGtqXnYmpqH9gHueLp3GEZ3C6YHLgi5j4TvARBCCCH6tHB3xtQBkfhtZh/MjqrD2OggKGQSXLxZhgW/nEfv9/Zh7pYzOJ1zG3RnESG0YkcIIcQOMAyDCHdgxogoLBoZhW2p1/HdiRxkFpTjp5Tr+CnlumYVb2x0MNydaRWPOCaa2DWBPT86rQsf2wmYeg7XWzsIeTsBrvoV09YO9hwHS9rhIyf0lQsxFq5yOZ7pFYKnewYjNbcUP5y6jl1/39Ss4r3/+0WMjQ7Cs73D0Kp5M72fxZw+m1LPGjlhzvi4JOScMFbPnnPCnLbpqVgz0HYnhBAiTJV1wMlbDI4USFBw37Yp7TzV6B/AopM3Cwm9p5bYKdruxMpouxNu2zDlHEu3E9B3TMjbCXDVLx/bCRg67qg5YUk7fOSEvnJ7iwXLsjh6pQTf/pWDPzJuoeG/cCHeLngyJgg+dzIwZoT954Q54+OSkHPCWD17zgna7sRGGgJoj49OG8JFv5a0wcfWDkLeToCrfsW0tYM9x8GSdvjICX3l9hSLQe0DMKh9AHJLKvHtX9fww8lcXL99F8v3XYZcIkUam4kp/VuhXYA7Z32aUs8aOWHO+Lgk5JwwVs8ec8KcdumpWEIIIaIU6uOKeSM64K95Q/D+uM5oH+COWjWDH1NuIOGTg3juqxM4fKmInqYlokIrdoQQQkTNxUmKJ3qGYWzXAKzc/DsyEYy96QU4mHkLBzNvoUOgB14cEIF/dQmCXErrHcS+0b9gQgghDoFhGLTyAD57siv2z43DpD4t4SKX4kK+Eq9tPoP+7ydjzYHLUFbZ9olfQrjksBO7sWPHwtvbG+PHj+d7KIQQQmwszNcVi0Z1wrF5g/F6Qjs0d1fgprIKy36/iNj3/sD/7UxHfmkV38MkxGwOO7F79dVX8fXXX/M9DEIIITzycnXCjLjWOPxmHD4c3wVt/d1QUaPCl4evYsjHh/D9ZQmuFVfyPUxCTOawE7u4uDi4u5v2RBQhhBBxU8ikeKxHKPbMHoANk3siNtIXtSoWfxVKMPR/hzHrh1RkFpTxPUxCjBLkxO7gwYMYOXIkgoKCwDAMtm/frlVn1apViIiIgLOzM2JiYnDo0CHbD5QQQoioMAyDQe1a4PsXH8Lmqb3Q0UsNNQv8kpaHoR8fxItfn8LZ63f4HiYheglyYldRUYGuXbti5cqVOo9v3rwZs2fPxvz585Gamor+/ftj+PDhyMnJ0dSJiYlBVFSU1ldeXp6tPgYhhBA71j3MCy91UGP7yw9hROcAMAywN70Ao1YewXNfnUDKtdt8D5EQLYLc7mT48OEYPny43uMrVqzAlClT8MILLwAAPvnkE+zZswerV6/GsmXLAAApKSmcjae6uhrV1dWa75VKJQD7fu+cLlz0a0kbfLwXU8jvYuSqXzG9F9Oe42BJO3zkhL5yMcXC0ji0be6C/z3eBa8MisSag1ex4++bmq1SBrX1w8yBLQ22a42csOTzcEHIOWGsnj3nhDltC/6VYgzDYNu2bRgzZgwAoKamBq6urtiyZQvGjh2rqTdr1iykpaXhwIEDJre9f/9+rFy5Ej/99JPBeosWLcLixYu1yuldsYQQ4niKqoC91yU4eYuBGvUvoO3io8bwUDWC6D8JxArMeVesIFfsDCkqKoJKpYK/v3+jcn9/f9y8edPkdhISEnD69GlUVFQgJCQE27ZtQ8+ePXXWnTdvHubMmaP5XqlUIjQ0FP3790dKSgri4uIgkzX+UdbV1SE5OVnrmK7yB8v0nWttXPRrSRumnGOsjqHjpvzMzSmzBT5iYWp9S2PhqDlhSTt85IS+cjHFgss4PAUgu7gSqw5m47e/C3C2RIK/SyQYEeWPGQNboqWvq9F2mhIHrn4m5hJyThirZ8850XCl0BR2t2KXl5eH4OBgHD16FLGxsZp6S5cuxTfffIOLFy9abSyJiYlITEyESqVCZmYmrdgRQghBfiWwO1eCtJL629YlYNGrBYvhIWp4KXgeHBEFUa/Y+fn5QSqVaq3OFRYWaq3icW3GjBmYMWMGlEolPD09acWOozZoxU6b0FYnzKlHK3ZNb4dW7LQJPScCk5MR0CEGqw/lYP+lYvxVyCCtRIZJsaGY2CsIJ44eohW7JrRDK3YiXrEDgN69eyMmJgarVq3SlHXs2BGjR4/WPDxhDbRiRwghxJirZcAv16S4WlZ//52bvH71LtafhZTheXDELpmzYifIiV15eTmysrIAANHR0VixYgXi4uLg4+ODsLAwbN68GRMmTMDnn3+O2NhYrF27Fl988QXOnz+P8PBwq4+vYcUuNzeXVuw4aINW7LQJfXWCVuys2w6t2Gmzt5xgWRb7LhZhxR+Xca3kLgAgwtcF/364NeLa+oJhGFqxoxU7kymVSgQGBvI3sauqqoKzs7PF5+/fvx9xcXFa5RMnTsSGDRsA1G9Q/MEHHyA/Px9RUVH4+OOPMWDAAIv7NAWt2BFCCDGHSg0cKWCw+7oEFXX1y3WtPdQY11KNoGY8D47YDV5W7NRqNZYuXYrPP/8cBQUFyMzMRGRkJN555x20bNkSU6ZM4aIbQWhYscvPz8fx48cRHx8PuVzeqE5tbS2SkpK0jukqf7BM37nWxkW/lrRhyjnG6hg6bsrP3JwyW+AjFqbWtzQWjpoTlrTDR07oKxdTLPjMiV9/T8Jlp0h8ffw6quvUkEoYPNkjCFHsNYwebn4cLPk8XBByThirZ885oVQq4efnZ9LEjrM3T7z77rvYsGEDPvjgAzg5OWnKO3fujHXr1nHVDSGEEGJ3XGTAa0NaYc+svkjo2AIqNYtNJ25gaaoUP6fmQa0W3F1RxE5xtmLXunVrrFmzBkOGDIG7uzvOnDmDyMhIXLx4EbGxsbh92/5fvUKXYgkhhHAh4w6Dn7MlKLhbf3k2rBmL8REqhLvzPDAiSLxcinVxccHFixcRHh7eaGKXnp6OXr16oby8nItuBIEuxXLbBl2K1Wbvl53oUmzT2qFLsdrEmBOVVdVY+O2fSMp3QkWNCgwDPNUzBLMGReCvQ8mC/P0k5JwwVs+ec4KXS7GdOnXCoUOHtMq3bNmC6OhorrohhBBCREEulSAuiMWumb0xpmsgWBb47sR1jFx9HGeKaV8UYhnOVux27NiBCRMmYN68eViyZAkWL16MjIwMfP3119i5cyfi4+O56IZXdCmWEEKItWSWMth8RYKiqvpJXWdvNcZH0NsrCI/72O3ZswfvvfceUlJSoFar0b17dyxYsABDhw7lqgtBoEux3LZBl2K1ifGyk6PmhCXt0KVYbY6SE1W1Kqz8MwtfHMmGmmXQTCHF3Pg2GN8tAH/+sY/3309Czglj9ew5J8y5FMvpTnoJCQlISEjgsklBawigXC7XG0x9x3SVP1hmqF1r4qJfS9ow5RxjdcyNRVPKbIGPWJha39JYOGpOWNIOHzmhr1xMsRByTsjlcsxNaAevssvYU+KLtNxSLN55ETvP3sRwH+H8fhJyThirZ485YU67dveuWCGpra1t9Kcpx3SVP1hmqF1r4qJfS9ow5RxjdcyNRVPKbIGPWJha39JYOGpOWNIOHzmhr1xMsbCnnAhyBb4ZGY2f027iw72XkJJzB39flwKBVzHhoZaQSBheYiHknDBWz55zwpy2m3Qp1tvbGwxj2g2eJSUllnYjGHSPHSGEEFsrrgK+vyzBJWX9845tPdV4qpUaPnTvncOw2T12Gzdu1Py9uLgY7777LhISEhAbGwsAOHbsGPbs2YN33nkHr732mqXdCA7dY8dtG3zcT9SUMltwlPuJ9JWLKScsaYePnNBXLqZY2HNOVNfUYOE3f+C363JU1anRTCHFW0PbwP3WOQwdSvfYmVLPnnPCZvfYTZw4UfP3cePGYcmSJZg5c6am7NVXX8XKlSuxb98+UU3sGtx/T4S9Xa83hI97WEw9h+v7iZpSZgtiv5/IWLmYcsKSdvjICX3lYoqFvebEgEAW08bE4s2t53E65w7e2XERUd4SxA5i4e9K99iZWs8ec8Kcdjm7x27Pnj14//33tcoTEhLw1ltvcdWNoNjz9Xpd+LiHxdRzuL6fqClltuBo9xM9WC6mnLCkHT5yQl+5mGIhhpwI9nDCd1N64quj2fh4XxbO3ZZgZOJRLB/fGbGRviZ9rqYQck4Yq2fPOWFO25xtdxIeHo6ZM2fi9ddfb1T+4YcfYuXKlbh27RoX3fCK7rEjhBAiFNcrgI2ZUhRWMWDAYkgQixGhakg5e/UAEQpe9rHbsGEDpkyZgmHDhmnusfvrr7+we/durFu3DpMmTeKiG0Gge+y4bYOP+4maUmYLjn4/kZhywpJ2+MgJfeViioWYcqKhbOfuJJysC8WW0/kAgC4hHljxWBeE+1hn0UHIOWGsnj3nBC/72E2aNAkdOnTAp59+iq1bt4JlWXTs2BFHjhxB7969uepGUBoCaI/X6w3h4x4WU8/h+n6ippTZgiPfT6SrzJ7jYEk7fOSEvnIxxUJMOaGQAu+N7Iy4DoF46+ezOHtdiTGr/sKyRztjZNcgo2O2lJBzwlg9e8wJc9rldB+73r17Y9OmTVw2SQghhBAjRnQORNdQL7z2QxpOZJfgle9TkXLtNv4zogOcZHRt1pFwNrHLyckxeDwsLIyrrgghhBDygGAvF3w3tTc+3peJxOTL2HA0G2m5d7Dqme4I8nLhe3jERjib2LVs2dLgZsUqlYqrrgghhBCig0wqwesJ7dE9zBuvbU5DWu4dPPLpIfzvyWgMaNuc7+ERG+BsYpeamtro+9raWqSmpmLFihVYunQpV90Iij0/Oq0LH9sJmHoO11s7NKXMFmhrB/HkhCXt8JET+srFFAsx5YSxfge09sH26Q/hlR/O4HxeGSauP4FX4lphxsBISCSmvTHKnM9i7Xa4iIU954Q5bXP2VKw+v/32Gz788EPs37/fmt3YBG13QgghxJ7UqoGtVyU4Wlh/n10nbzWea62GM70p3q7wst2JPpcuXUK3bt1QUVFhzW5sirY74bYNU86xdDsBfceaUmYLfMSCi+0EDB131JywpB0+ckJfuZhiIaacMPfzbE29gQW/XkB1nRqtmjfDmmeiEe5r/sKEkHPCWD17zgletjtRKpWNvmdZFvn5+Vi0aBHatGnDVTeC0hBAe3x02hA+thMw9Ryut3ZoSpkt0NYO4skJS9rhIyf0lYspFmLKCVPH90Svlmgf6IUXvzmFy7cqMG7Ncax8Ohr921h2352Qc8JYPXvMCXPa5Wxi5+XlpfXwBMuyCA0NxQ8//MBVN4QQQgixQNdQL+yY2Q8vfZuC1Jw7mPjVCcx/pCOe72v44UdiXzib2CUnJzf6XiKRoHnz5mjdujVkMrqYTwghhPCthYczvp/6EN7efg4/pVzH/+1Mx4V8JZaOjYJCJuV7eIQDnM24GIZBnz59tCZxdXV1OHjwIAYMGMBVV4QQQgixkLNcig/Hd0GHQA8s/S0dP6VcR05xJdZMiIF3Mye+h0eaiLPtqOPi4lBSUqJVXlpairi4OK66IYQQQkgTMQyDKf0isGFyL7grZDiRXYJxq48iu0g8Dzo6Ks4mdizL6rxGX1xcjGbNmnHVDSdyc3MxaNAgdOzYEV26dMGWLVv4HhIhhBBicwPaNsdPL/dBsJcLrhRV4NHVR5FyTXuRhtiPJl+KffTRRwHUz/4nTZoEhUKhOaZSqXD27Fn06dOnqd1wSiaT4ZNPPkG3bt1QWFiI7t27Y8SIEYKbgBJCCCHW1i7AHdum98GUjafw941SPPXFcax4vCv+1SWI76ERCzR5Yufp6QmgfsXO3d0dLi7/vI/OyckJDz30EKZOndrUbjgVGBiIwMBAAECLFi3g4+ODkpISmtgRQghxSC08nLH5pYfw6vdp2HehADO/S0VOSSVeHtiKnpi1M02e2K1fvx5A/bti586dy8nk6ODBg/jwww+RkpKC/Px8bNu2DWPGjGlUZ9WqVfjwww+Rn5+PTp064ZNPPkH//v3N7uvUqVNQq9UIDQ1t8rgJIYQQe+XqJMOaCTF497d0rD+SjQ92Z+BmaRUWjuwEaRNeQ0Zsi7OnYhcuXMhVU6ioqEDXrl0xefJkjBs3Tuv45s2bMXv2bKxatQp9+/bFmjVrMHz4cKSnpyMsLAwAEBMTg+rqaq1z9+7di6Cg+uXl4uJiPPfcc1i3bp3B8VRXVzdqq2EzZnt+75wufLyL0dRzuH4vJhfvYrQmei+meHLCknb4yAl95WKKhZhywpzxmes/w9oi2FOBpb9n4Otj11BUVoUPxnWGQiYRdE4Yq2fPOWFO2016pVj37t3xxx9/wNvbG9HR0QaXa0+fPm1RHwzDaK3Y9e7dG927d8fq1as1ZR06dMCYMWOwbNkyk9qtrq5GfHw8pk6digkTJhisu2jRIixevFirnN4VSwghRKxOFzH4NksCFcugracaU9qp4Uxb3fHCnHfFNmnFbvTo0ZqHJR68VGotNTU1SElJwVtvvdWofOjQoTh69KhJbbAsi0mTJmHw4MFGJ3UAMG/ePMyZM0fzvVKpRGhoKPr374+UlBTExcXp3L8vOTlZ65iu8gfL9J1rbVz0a0kbppxjrI6h46b8zM0pswU+YmFqfUtj4ag5YUk7fOSEvnIxxUJMOWHJ5zFXPID+l0vwyo/nkFkKfHPdEysf64gzJ44IMieM1bPnnHjwta2GNGnFzhYeXLHLy8tDcHAwjhw50uhp2/feew8bN25ERkaG0TYPHz6MAQMGoEuXLpqyb775Bp07dzZ4XmJiIhITE6FSqZCZmUkrdoQQQkTvWjmw5oIUFXUMmjuzeLmDCr7OfI/KsdhsxU6XmpoaFBYWQq1WNypvuPeNK7reS2vqkzv9+vXTGp8pZsyYgRkzZkCpVMLT05NW7Dhqg1bstNHqhHhywpJ2aMVOG+UEv7+fhvSvxNRNZ5BXWoVPzknx1cQYdAzytLg9WrEzDy8rdpmZmZgyZYrW5dCGCZdKpbKo3QdX7GpqauDq6ootW7Zg7NixmnqzZs1CWloaDhw4YPFnMIZW7AghhDiqO9XA5xekyL/LwFXKYlpHFcLd+B6VY+BlxW7y5MmQyWTYuXMnAgMDrbbvjZOTE2JiYpCUlNRoYpeUlITRo0dbpc8GD67YxcXF4fjx44iPj4dcLm9Ut7a2FklJSVrHdJU/WKbvXGvjol9L2jDlHGN1DB035WduTpkt8BELU+tbGgtHzQlL2uEjJ/SViykWYsoJSz4PF4YOqcRTqw8hu5zBmkwF1k3ojh7h3ma3w0cs7DknzFmx42xil5aWhpSUFLRv377JbZWXlyMrK0vz/dWrV5GWlgYfHx+EhYVhzpw5mDBhAnr06IHY2FisXbsWOTk5mDZtWpP7JoQQQohuni5yTO+owk8Ffjhx7Q4mb0zB589Eo28rX76HRu7h7FJsz5498fHHH6Nfv35Nbmv//v2Ii4vTKp84cSI2bNgAoH6D4g8++AD5+fmIiorCxx9/jAEDBjS5b0PoUiwhhBAC1KiArzIluHBHAhnDYnI7NaK8Bf0spl0z51IsZxO7P//8E2+//Tbee+89dO7cWWs50thA7EnDpdjc3Fx6eIKDNujhCW10o7h4csKSdujhCW2UE8L4/XR/n2pIMHfreey7WASZhMEHj3bEsI4tzG6HHp4wTqlUIjAw0LYTO4lEUt+gnqdVLX14QkhoxY4QQgj5h0oNbLosQUqRBAxYPN1ajV7NaeWOa7ys2Bl7GnXgwIFcdCMIDSt2+fn59PAEB23QwxPa6EZx8eSEJe3QwxPaKCeE8ftJV58qNYsFv6bjx5QbYBhg6ehOeCwm2Ox2uKgv5ocn/Pz8bPtUrJgmboQQQggxjVTC4P9GdYRCJsE3x3Mx/5fzYBhgfHfDkztiHZyt2J09e1Z3BwwDZ2dnhIWFaV4/Zq/oUiwhhBCiG8sCP2dLcOhm/WXZp1qp0bsFXZblAi+XYiUSicG96+RyOZ544gmsWbMGzs72/S4SuhTLbRt0KVYbXXYST05Y0g5ditVGOSGM30/G+mRZFkt+u4hvj+eCYYBlYzphnI6VO7oUax5eLsVu27YNb775Jl5//XX06tULLMvi5MmT+Oijj7Bw4ULU1dXhrbfewttvv43ly5dz1S2vGgIol8v1BlPfMV3lD5YZateauOjXkjZMOcdYHXNj0ZQyW+AjFqbWtzQWjpoTlrTDR07oKxdTLMSUE+aMj0uG+vy/MZ3BMBJ889c1zNt+HjKZDONjQsxupyn1Lfl3b+gY3zlhTrucTeyWLl2K//3vf0hISNCUdenSBSEhIXjnnXdw4sQJNGvWDP/+979FM7Grra1t9Kcpx3SVP1hmqF1r4qJfS9ow5RxjdcyNRVPKbIGPWJha39JYOGpOWNIOHzmhr1xMsRBTTpgzPi6Z2uc7I9pCpVbhuxPX8fpPZ6BS1eHR6H9W7viIhT3nhDltc3Yp1sXFBampqVpvnrh48SKio6Nx9+5dZGdno2PHjqisrOSiS5uje+wIIYQQ07AssOWqBEcKaCuUpuLlHrvo6Gh07doVa9euhZOTE4D6GebUqVNx5swZpKam4siRI3j22Wdx9epVLrrkDd1jx20bppxj6T0s+o4J+R4Wrvrl4x4WQ8cdNScsaYePnNBXLqZYiCknLPk8XDC3T7WaxaKdF/D9yetgGGDF+M74V5dAXmJhzznByz12iYmJGDVqFEJCQtClSxcwDIOzZ89CpVJh586dAIArV65g+vTpXHXJu4YA2uP1ekP4uIfF1HO4vp9IyPewcNWvmO4nsuc4WNIOHzmhr1xMsRBTTpgzPi6Z0+fSsV0ARoLvT+Rg7s/n0MzZCXFtfc1ux5z6lvy7N3SM75wwp13OJnZ9+vRBdnY2vv32W2RmZoJlWYwfPx5PP/003N3dAQATJkzgqjtCCCGE2AGJhMHSMVGoqlVhW+oNzPwuFZ8/043vYYkWpy81c3Nzw7Rp07hsUtDs+UZMXfi4OdnUc7i+UVzINydz1a+YbhS35zhY0g4fOaGvXEyxEFNOmDM+LjWlz/dGd0BldS32pBdi+ndpmNrOtrGw55wwp23O7rFrkJ6ejpycHNTU1DQqHzVqFJfd8IIeniCEEEIsV6cGvsyQIP2OBAoJi+kdVWjpzveohI+XhyeuXLmCsWPH4u+//wbDMGhotmHTYpVKxUU3gkAPT3DbhinnWHpzsr5jQr45mat++bg52dBxR80JS9rhIyf0lYspFmLKCUs+Dxe46LOqVoUXvk7B8ew78HCW4Zvne6BjoOHJChexsOec4OXhiVmzZiEiIgL79u1DZGQkTpw4geLiYlHtW/eghgDa442YhvBxc7Kp53B9o7iQb07mql8x3Shuz3GwpB0+ckJfuZhiIaacMGd8XGpKn3K5HGue7Y4xn/yB7PI6TN54Gj++9BBatzC+dMdFLOwxJ8xpV8JVp8eOHcOSJUvQvHlzSCQSSCQS9OvXD8uWLcOrr77KVTeEEEIIsXPNFDK81EGFTkHuKKmowdNfHMe14gq+hyUKnE3sVCoV3NzcAAB+fn7Iy8sDAISHhyMjI4OrbgghhBAiAq4y4KvnYtDW3w2FZdWY8OUJFCqr+B6W3eNsYhcVFYWzZ88CAHr37o0PPvgAR44cwZIlSxAZGclVN4QQQggRCZ9mTvh2Sm+E+bgip6QSz311AqWVtn3iWmw4u8fu7bffRkVF/TLqu+++i3/961/o378/fH198cMPP3DVjaDY86PTuvCxnYCp53C9tYOQtxPgql8xbe1gz3GwpB0+ckJfuZhiIaacMGd8XLJGTni7yLF+Ync8+cUJXLxZhuc3nMD6iTFwcZKa3a8l/+4NHRNKTpjTNufbndyvpKQE3t7emidj7R1td0IIIYRYx40K4LPzUtxVMejopcYL7dSQcnZd0b7ZdLuT559/3qR6X331VVO6ERTa7oTbNkw5x9LtBPQdE/J2Alz1a24bXGwnYOi4o+aEJe3wkRP6ysUUCzHlhCWfhwvWzolT125j0oYUVNepMapLID4cFwWJhOEkFvacEzbd7mTDhg0IDw9HdHQ0rLj4J0gNAbTHR6cN4WM7AVPP4XprByFvJ8BVv2La2sGe42BJO3zkhL5yMcVCTDlhzvi4ZK2ciG3dAquf7Y6pX6fg17P58HFTYOHIjmb3a8m/e0PH+M4Jc9pt8sRu2rRp+OGHH3DlyhU8//zzePbZZ+Hj49PUZgkhhBDigAa398fyx7rgtc1nsOFoNnyaOeHlAS35HpbdaPLV61WrViE/Px9vvvkmduzYgdDQUDz++OPYs2ePw63gEUIIIaTpxkaHaFbqViRlYtOJXJ5HZD84uS1RoVDgqaeeQlJSEtLT09GpUydMnz4d4eHhKC8v56ILQgghhDiQyX0j8Org1gCAxTsv4HSROB7EtDbOnzdhGEbzrli1Ws1184QQQghxEK/Ft8WzD4WBZYFvsyQ4ermY7yEJHicTu+rqanz//feIj49Hu3bt8Pfff2PlypXIycnRvI1CKMrKytCzZ09069YNnTt3xhdffMH3kAghhBCiA8MwWDwqCsM7+UPFMpj+fRrS85R8D0vQmvzwxPTp0/HDDz8gLCwMkydPxg8//ABfX18uxmYVrq6uOHDgAFxdXVFZWYmoqCg8+uijgh4zIYQQ4qikEgYfjovCpdybyFKqMGn9Cfz8ch+E+tA+sro0eWL3+eefIywsDBEREThw4AAOHDigs97WrVub2hUnpFKpZlPhqqoqqFQqesiDEEIIETCFXIop7VRYf80LmYXlmLj+BH6e1gfezZz4HprgNPlS7HPPPYe4uDh4eXnB09NT75epDh48iJEjRyIoKAgMw2D79u1adVatWoWIiAg4OzsjJiYGhw4dMmvMd+7cQdeuXRESEoI33ngDfn5+Zp1PCCGEENtylQHrnuuOQE9nXLlVgSkbT6KqVsX3sASHkw2KuVRRUYGuXbti8uTJGDdunNbxzZs3Y/bs2Vi1ahX69u2LNWvWYPjw4UhPT0dYWBgAICYmBtXV1Vrn7t27F0FBQfDy8sKZM2dQUFCARx99FOPHj4e/v7/eMVVXVzdqT6msv75vz++d04WPdzGaeg7X78UU8rsYuepXTO/FtOc4WNIOHzmhr1xMsRBTTpgzPi7xnRN+rlJ8OaE7nlx3Aqdz7mDmphR89mRXyO69e8ySf/eGjgklJ8xp26rvim0qhmGwbds2jBkzRlPWu3dvdO/eHatXr9aUdejQAWPGjMGyZcvM7uPll1/G4MGD8dhjj+mts2jRIixevFirnN4VSwghhNjeZSWwKl2KOpZBH381Ho9QQySvpdfJnHfFNnnFzpZqamqQkpKCt956q1H50KFDcfToUZPaKCgogIuLCzw8PKBUKnHw4EG8/PLLBs+ZN28e5syZo/leqVQiNDQU/fv3R0pKCuLi4iCTNf5R1tXVITk5WeuYrvIHy/Sda21c9GtJG6acY6yOoeOm/MzNKbMFPmJhan1LY+GoOWFJO3zkhL5yMcVCTDlhyefhglByIh5Aq463MHvLORwtkKBHh1aYNqClRf/uDR0TSk40XCk0hV2t2OXl5SE4OBhHjhxBnz59NPXee+89bNy4ERkZGUbbTElJwZQpU8CyLFiWxcsvv2x0YtcgMTERiYmJUKlUyMzMpBU7QgghhEcH8xn8nC0FADzVSoWHWgh2StMkol2xa8A8sN7KsqxWmT4xMTFIS0uzqN8ZM2ZgxowZUCqV8PT0pBU7jtqgFTtttDohnpywpB1asdNGOSGM309Cy4l4AN5/XMa6Izn48YoM/WI6oi73DK3YWWUUHHhwxa6mpgaurq7YsmULxo4dq6k3a9YspKWl6d1qhSu0YkcIIYQIC8sCmy5LcPKWBE4SFjM7qRAurHcjNJloV+ycnJwQExODpKSkRhO7pKQkjB492ur904qdddqgFTtttDohnpywpB1asdNGOSGM309CzYk4lRozfvgbhy+X4IuLUvw4tRfC/dxMbkPoOWHXK3bl5eXIysoCAERHR2PFihWIi4uDj48PwsLCsHnzZkyYMAGff/45YmNjsXbtWnzxxRc4f/48wsPDrTo2WrEjhBBChKlKBXx6TooblQz8XVjMjlLB1a6Wr/QzZ8UOrMAkJyezALS+Jk6cqKmTmJjIhoeHs05OTmz37t3ZAwcO2HSMpaWlLAA2Pz+f3b59O1tRUcHW1NQ0+qqoqNB5TFf5g2X6zrX2Fxf9WtKGKecYq2PouCk/c3PKxBoLU+tbGgtHzQlrxYLrnHCEWIgpJ/iKhZBzoqamhr2cX8x2eWcHG/7mTvbxz4+wZZVVJrUh9JwoKipiAbClpaVG5yiCm8sOGjTI6Cu+pk+fjunTp9toRIQQQgixBwEeznipvQqJFxU4fvU25m8/jw/HRZn8gKUYCO5SrJDRpVhCCCFE+C7eYbDmggRqMBgarMYjYWq+h9Qk5lyKpYmdBRoensjPz8fx48cRHx8PuVzeqE5tbS2SkpK0jukqf7BM37nWxkW/lrRhyjnG6hg6bsrP3JwyW+AjFqbWtzQWjpoTlrTDR07oKxdTLMSUE5Z8Hi4IOScerLf9bAH+sz0dAPDemE4Y06WF3eaEUqmEn5+f+J6KJYQQQggxxWMxIci9fRerD1zFgl/T0aKZY0x5aMXODHQplhBCCLEfLAt8kyVBSpEECimLWZ1UCG7G96jMR5dirYwuxXLbBl2K1UaXncSTE5a0Q5ditVFOCOP3k5BzQl+96jo1nt+YghPZt+HlxGLb9L4I8XUzep6+croUK2INAZTL5XqDqe+YrvIHywy1a01c9GtJG6acY6yOubFoSpkt8BELU+tbGgtHzQlL2uEjJ/SViykWYsoJc8bHJSHnxIP15HLgi+d6YuyqI7hSVIGXf/gbP73cB24K7SmQUHPCnHZpYtcEtbW1jf405Ziu8gfLDLVrTVz0a0kbppxjrI65sWhKmS3wEQtT61saC0fNCUva4SMn9JWLKRZiyglzxsclIeeEoXqucuDzpzrj0c+P4eLNMkz/9hQ+fyYacqnE4HlCyQlz2qZLsWage+wIIYQQ+3WtHFh5XooaNYPYFmo8EamGPWxxR/fYWRndY8dtG6acY+k9LPqOCfkeFq76teU9LKYcd9ScsKQdPnJCX7mYYiGmnLDk83BByDlhrF7DMWlYNF758W+wLDA3vg1eGhAh+Jyge+xs5J/r93QPCxdt8HE/kZDvYeGqXzHdT2TPcbCkHT5yQl+5mGIhppwwZ3xcEnJOGKuXEBWIhZUqLNqRjuVJlxDZwh3x7f0Mnsd3TpjTrsQqIyCEEEIIEahJfSMwqU9LAMBrm9Nw5nopvwPiEK3YNQHdnMxNG3zcKC7km5O56ldMN4rbcxwsaYePnNBXLqZYiCknzBkfl4ScE8bqPXjsrYQ2yC4qx/7MIrz0bSpmthNuTpjTNt1jZwZ6eIIQQggRjyoV8L9zUuRVMgh0YTE7SgVnAS550cMTVkYPT3DbhinnWHpzsr5jQr45mat++bg52dBxR80JS9rhIyf0lYspFmLKCUs+DxeEnBPG6uk7ll9ahUc//wtF5TXo18oHX0zoDtl926AIISfo4QkbaQgg3ZzMTRt83Cgu5JuTuepXTDeK23McLGmHj5zQVy6mWIgpJ8wZH5eEnBPG6j14LMxPjrXPRuOJtX/h8OUSvLf7EpaM7gTmvn1Q+M4Jc9qlhycIIYQQ4tA6B3tiQuv6Pe2++esaNhzN5ntIFqOJHSGEEEIcXldfFq8PbQMA+L+d6fjjQgHPI7IMTewIIYQQQgC80LclnuwZCjULvPJ9Ki7kl/E9JLPRPXZNQNsJcNMGH1s7CHk7Aa76FdPWDvYcB0va4SMn9JWLKRZiyglzxsclIeeEsXqmHKurq8OCR9rhWnEFjl0pwYvfnsb0NvznhDlt01OxZqDtTgghhBDxq6wDPjknRcFdBqHNWLzSSQWFlMfx0HYn1kXbnXDbhinnWLqdgL5jQt5OgKt++dhOwNBxR80JS9rhIyf0lYspFmLKCUs+DxeEnBPG6pl77FpJJR5bcxy3K2sxpJ0fVj0dDYmE4SUnaLsTG2kIIG0nwE0bfGztIOTtBLjqV0xbO9hzHCxph4+c0FcupliIKSfMGR+XhJwTxuqZeqy1vydWP90Nz3x5An9kFGHFH5cxb0QHve1YMw7mtEsPTxBCCCGE6BAT7o2nW6kBAGsOXsH3J3J4HpFxNLEjhBBCCNGjR3MWr8a1AgC8s/0cjlwu5nlEhtHEjhBCCCHEgJlxkRjTLQh1ahav/HAGNyv5HpF+Djuxq6ysRHh4OObOncv3UAghhBAiYAzD4P3xXdCzpTfKquqw9qIUxeXVfA9LJ4ed2C1duhS9e/fmexiEEEIIsQMKmRRrJvRAqLcLiqsZTP/+DKpqVXwPS4tDTuwuXbqEixcvYsSIEXwPhRBCCCF2wqeZE76Y0B0uUhanc+5g3ta/IbRd4wQ3sTt48CBGjhyJoKAgMAyD7du3a9VZtWoVIiIi4OzsjJiYGBw6dMisPubOnYtly5ZxNGJCCCGEOIpWzZthcls1pBIG21JvYPWBq3wPqRHBTewqKirQtWtXrFy5UufxzZs3Y/bs2Zg/fz5SU1PRv39/DB8+HDk5/zyCHBMTg6ioKK2vvLw8/PLLL2jbti3atm1rq49ECCGEEBFp58ViwSPtAQAf/5GF1GKG5xH9Q3AbFA8fPhzDhw/Xe3zFihWYMmUKXnjhBQDAJ598gj179mD16tWaVbiUlBS95//111/44YcfsGXLFpSXl6O2thYeHh5YsGCB3nOqq6tRXf3PTZJKpRIAvYuRqzb4eC+mkN/FyFW/Ynovpj3HwZJ2+MgJfeViioWYcsKc8XFJyDlhrB7XOfFYdACuFFVg47EcbMqSYHh2Mbq39DXp85jLnJ+3oF8pxjAMtm3bhjFjxgAAampq4Orqii1btmDs2LGaerNmzUJaWhoOHDhgVvsbNmzAuXPnsHz5coP1Fi1ahMWLF2uV07tiCSGEEMelZoEvLkqQfkeChBA1RoSqrdKPOe+KFdyKnSFFRUVQqVTw9/dvVO7v74+bN29ard958+Zhzpw5mu+VSiVCQ0PRv39/pKSkIC4uDjJZ4x9lXV0dkpOTtY7pKn+wTN+51sZFv5a0Yco5xuoYOm7Kz9ycMlvgIxam1rc0Fo6aE5a0w0dO6CsXUyzElBOWfB4uCDknjNWzVk707luFVb8cxhuPD7JaHBquFJrCrlbs8vLyEBwcjKNHjyI2NlZTb+nSpfjmm29w8eJFq44nMTERiYmJUKlUyMzMpBU7QgghhFidaFfs/Pz8IJVKtVbnCgsLtVbxrGHGjBmYMWMGlEolPD09acWOozZoxU4brU6IJycsaYdW7LRRTgjj95OQc8JYPXvOCdGu2AFA7969ERMTg1WrVmnKOnbsiNGjR1t9CxNasSOEEEKIrdn1il15eTmysrI031+9ehVpaWnw8fFBWFgY5syZgwkTJqBHjx6IjY3F2rVrkZOTg2nTpll9bLRiZ502aMVOG61OiCcnLGmHVuy0UU4I4/eTkHPCWD17zgm7XrHbv38/4uLitMonTpyIDRs2AKjfoPiDDz5Afn4+oqKi8PHHH2PAgAFWHxut2BFCCCHE1sxZsRPcxM4elJaWwsvLC5mZmTh16hTi4uIgl8sb1amtrdXM4O8/pqv8wTJ951obF/1a0oYp5xirY+i4KT9zc8psgY9YmFrf0lg4ak5Y0g4fOaGvXEyxEFNOWPJ5uCDknDBWz55zoqysDBEREbhz5w48PT0N1hXcpVh7UFZWBgD09gpCCCGE2ExZWZnRiR2t2FlArVYjLy8P7u7u6NWrF06ePKmzXs+ePXUe01V+f1nDPnm5ublGl1y5pm/M1m7DlHOM1TF03NjPXF+Zo8XC1PqWxsJRc8KSdvjICX3lYoqFWHIC4C8WQs4JY/XsNSdYlkVZWRmCgoIgkRh+Gyyt2FlAIpEgJCQEACCVSvUGUt8xXeW6yjw8PGz+i9PQ57FmG6acY6yOubEwtQxwnFiYWt/SWDhqTljSDh85oa9cTLEQW04Ato+FkHPCWD17zgljK3UNDE/7iFEzZsww+5iuckPt2BIX47CkDVPOMVbH3FgIOQ4AP7Ewtb6lsXDUnLCkHT5yQl+5mGJBOdF0Qs4JY/XElhO60KVYAWrYTsWUp1+IdVEshIHiIBwUC+GgWAiD0OJAK3YCpFAosHDhQigUCr6H4vAoFsJAcRAOioVwUCyEQWhxoBU7QgghhBCRoBU7QgghhBCRoIkdIYQQQohI0MSOEEIIIUQkaGJHCCGEECISNLEjhBBCCBEJmtiJQGVlJcLDwzF37ly+h+KwysrK0LNnT3Tr1g2dO3fGF198wfeQHFZubi4GDRqEjh07okuXLtiyZQvfQ3JYY8eOhbe3N8aPH8/3UBzOzp070a5dO7Rp0wbr1q3jezgOzdZ5QNudiMD8+fNx6dIlhIWFYfny5XwPxyGpVCpUV1fD1dUVlZWViIqKwsmTJ+Hr68v30BxOfn4+CgoK0K1bNxQWFqJ79+7IyMhAs2bN+B6aw0lOTkZ5eTk2btyIn376ie/hOIy6ujp07NgRycnJ8PDwQPfu3XH8+HH4+PjwPTSHZOs8oBU7O3fp0iVcvHgRI0aM4HsoDk0qlcLV1RUAUFVVBZVKBfp/Jn4EBgaiW7duAIAWLVrAx8cHJSUl/A7KQcXFxcHd3Z3vYTicEydOoFOnTggODoa7uztGjBiBPXv28D0sh2XrPKCJnRUdPHgQI0eORFBQEBiGwfbt27XqrFq1ChEREXB2dkZMTAwOHTpkVh9z587FsmXLOBqxeNkiFnfu3EHXrl0REhKCN954A35+fhyNXlxsEYsGp06dglqtRmhoaBNHLT62jAMxT1Njk5eXh+DgYM33ISEhuHHjhi2GLjr2mCc0sbOiiooKdO3aFStXrtR5fPPmzZg9ezbmz5+P1NRU9O/fH8OHD0dOTo6mTkxMDKKiorS+8vLy8Msvv6Bt27Zo27atrT6S3bJ2LADAy8sLZ86cwdWrV/Hdd9+hoKDAJp/N3tgiFgBQXFyM5557DmvXrrX6Z7JHtooDMV9TY6PragHDMFYds1hxkSc2xxKbAMBu27atUVmvXr3YadOmNSpr3749+9Zbb5nU5ltvvcWGhISw4eHhrK+vL+vh4cEuXryYqyGLljVi8aBp06axP/74o6VDdBjWikVVVRXbv39/9uuvv+ZimKJnzZxITk5mx40b19QhOixLYnPkyBF2zJgxmmOvvvoqu2nTJquPVeyakie2zANaseNJTU0NUlJSMHTo0EblQ4cOxdGjR01qY9myZcjNzUV2djaWL1+OqVOnYsGCBdYYrqhxEYuCggIolUoAgFKpxMGDB9GuXTvOxyp2XMSCZVlMmjQJgwcPxoQJE6wxTNHjIg7EOkyJTa9evXDu3DncuHEDZWVl2LVrFxISEvgYrqgJNU9kvPXs4IqKiqBSqeDv79+o3N/fHzdv3uRpVI6Ji1hcv34dU6ZMAcuyYFkWM2fORJcuXawxXFHjIhZHjhzB5s2b0aVLF839MN988w06d+7M9XBFi6vfTwkJCTh9+jQqKioQEhKCbdu2oWfPnlwP16GYEhuZTIaPPvoIcXFxUKvVeOONN+gJfSswNU9snQc0sePZg/c9sCxr0b0QkyZN4mhEjqspsYiJiUFaWpoVRuWYmhKLfv36Qa1WW2NYDqepv5/oSUzrMRabUaNGYdSoUbYelkMyFgtb5wFdiuWJn58fpFKp1v/9FhYWas3+iXVRLISDYiEMFAfhotgIh1BjQRM7njg5OSEmJgZJSUmNypOSktCnTx+eRuWYKBbCQbEQBoqDcFFshEOosaBLsVZUXl6OrKwszfdXr15FWloafHx8EBYWhjlz5mDChAno0aMHYmNjsXbtWuTk5GDatGk8jlqcKBbCQbEQBoqDcFFshMMuY2GTZ28dVHJyMgtA62vixImaOomJiWx4eDjr5OTEdu/enT1w4AB/AxYxioVwUCyEgeIgXBQb4bDHWNC7YgkhhBBCRILusSOEEEIIEQma2BFCCCGEiARN7AghhBBCRIImdoQQQgghIkETO0IIIYQQkaCJHSGEEEKISNDEjhBCCCFEJGhiRwghhBAiEvRKMQuo1Wrk5eXB3d0dDMPwPRxCCCGEiBjLsigrK0NQUBAkEsNrcjSxs0BeXh5CQ0P5HgYhhBBCHEhubi5CQkIM1qGJnQXc3d0B1L8M+NixYxg6dCjkcnmjOrW1tdi7d6/WMV3lD5bpO9fauOjXkjZMOcdYHUPHTfmZm1NmC3zEwtT6lsbCUXPCknb4yAl95WKKhZhywpLPwwUh54SxevacE0qlEqGhoZr5hyE0sbNAw+VXd3d3uLq6wsPDQ+c/El3HdJU/WKbvXGvjol9L2jDlHGN1DB035WduTpkt8BELU+tbGgtHzQlL2uEjJ/SViykWYsoJSz4PF4ScE8bqiSEnTLn9ix6eIIQQQggRCYed2K1atQoRERFwdnZGTEwMDh06xPeQCCGEEEKaxCEndps3b8bs2bMxf/58pKamon///hg+fDhycnL4HhohhBBCiMUc8h67FStWYMqUKXjhhRcAAJ988gn27NmD1atXY9myZVr1q6urUV1drfleqVQCqL/Ofv+f99N3TFf5g2X5tyugrAGKlJVwUThBJpVALmEgkVh3axVDn8eabZhyjrE65saiKWW2wEcsTK1vaSyakhP2HAdL2uEjJ/SViykWYsoJc8bHJSHnhLF69pwT5rTNsCzLWm0kAlRTUwNXV1ds2bIFY8eO1ZTPmjULaWlpOHDggNY5ixYtwuLFi7XKv/vuO7i6unI+xqWpUhRWaU/iJGAhZQCpBPV/3v+ls4zVW0/GADIJIJcAcgkLuaS+TC75p1wmAeQMILt3vOHrwXpWnm8SQgghDq2yshJPP/00SktL4eHhYbCuw63YFRUVQaVSwd/fv1G5v78/bt68qfOcefPmYc6cOZrvGx47jouLw/HjxxEfH6/zCZukpCStY7rKHyz7OPMQUHVXaxxqMFCzQK3K1E9rmxmXTMJAIZPASSaBQiaBuqYK3p7ucJZL4SyXwFkmhaLRnxIo5FI4yyRwlkshY1hcycpAdOcoNHOWQyGXQiGTaI4rZBJIocbxo4cxdEgc3FwUkEuZRk8H6ft56zvWlDJb4KJfc9swtb6xeub829dX/mCZPcfBknZMqW9pHAwdE3ssxJQTlnweLgg5J4zVs+ecaLhSaAqHm9g1ePCRYZZl9T5GrFAooFAotMobAiiXy/UGU98xXeUNZUmz++O333Zh6LBhYCQy1KrVqK1To07NolalRq2KRd29P2tVatSp7/u76r46jcrvr8+iuk6N6joVqmvVmr9X1dQh50Y+PH2ao1bF1h+vu3e89r6/16lQq/pnobdOzaKuRoWKmoYZJ4PCqnK9P3vdpPjxygUjdWR4J6X+IRcJAyhk9yaO9yZ/NXel+DI3BS5y2T+TSrkUcgmDghsSnP3jCpop6ieOcglw6SaDqnOFaObsBGeZFAzUuHiHgWeOEk4yGRiGgVpdh8tKICC/AnK5DBKGgYQBJAwDhgEYMGDBgmUBlgXULAsW9/5kAYCF+v5jbP2/tfvrNPwd9+oAQJ1KhXO3GThfuQOZVAp96+oGl9tZFS7eYeCTWwaFkxwyKQOZhIFMIoFMykAqYSCXSCC9Vy4FUKsGZDKZSb+cDP27N3TckpwwtU9r4apfc9sxpb6lcTB0TOyxsEYcTKlnjZwwZ3xcEnJOGKtnjzlhTrsON7Hz8/ODVCrVWp0rLCzUWsXjE8MAcqkEcrkULpDapM/a2lrs2nUDI0bEGP1HpFKz2hPDWjUqqqqx/9ARdOvRC3VqBlX3JoWaP2vr61XdmyhW1apQWVOHnOt58PRtjhoVe6+eGlV1qkb1qmrVmv7VLHC3VoW7tSoADfceMMir1Pd/NRIcKrj2QJkUW66e1ypbfSHlgTIZPj1/wvAPzyqk+OJiapPbWH3hlBn1ZXj9RBKcZVK4OP2zqtowUXZxkkIhlaC0WILjO9Lh6aqAu7MM7s5yuCtkcHeWwUXG4EYFcOPOXbTwZODq5HC/ZgghhDcO9xvXyckJMTExSEpKanSPXVJSEkaPHs3jyOyLVFL/H2xXp8bltbXOyPUA+rf2M/n/MOonlNcNTihra2vx22+78PDQBKggRdW9SWXD5K/8bg0OHf0LXaNjUMsy9RPBe5PJyupanLuQidCWEahRAVW1KtytqcO163nw8m2O6nuTyZo6NZRKJdzc3e+totW/F7isvAIurq71Zer6FTf1vdU1NVu/esg0rOKhfjWYuW9V75/y+mOSeyt9jb6/rx4YBiyrRumdUnh6eYJhtB9eN3aRnUX9qt/tO0q4NHODmgXq1PUrunVqFqp7q78qNVu/yqtWa1YF2UaTZn0kSCm6buC4DB+crV9ddZZL4NtMAW9XOVSVEvxZ+Tf83J3h08wJvs2c4OMqw/UKoKSiBi08ZfT+ZUIIaQKHm9gBwJw5czBhwgT06NEDsbGxWLt2LXJycjBt2jS+h0YMYBjUX0aVy+EJ7fsjbqWzGNKhhc57J3ZVXMSIYe0a3SPx4GSyvmwXRozoo6Osv83vJ6rv96Em3U9U30Zfo22wLIvKqhrs2LUbA+KGoI6VaCbNd2vqJ8lVtf9Mok+m/Y2QiDaorGVRVlWLsqo6lFXX/6m8W4tiZQWq1BLUqlhU1apx485d3LhzF4AEF+7k6xiBDB+e3Q8nmQT+Hgr4uyugLpfgrCQDQd7NEOjuhLwKoLKmDp48XP4jhBB74ZATuyeeeALFxcVYsmQJ8vPzERUVhV27diE8PJzvoRHCC4Zh4CSTwEUGNHdXGL052a3wLEYMaa33RvFdu3Zh+PChqGElKCmvQXFFNQqVd3Hg2CmEtG6P0rsqFFfUoKSiBjdL7yKnSInyWgY1dWrkltxFbkn9JPD0kfsvn8vw/tk/4eemQJiPC8J9myHMxxVhPq5o1cINrVu4wU3hkL/SCCFEw2F/C06fPh3Tp0/nexiEiBbDMHBzksFNIUOYrytqa91QdZnFiH4RWk+d7dq1C0OGDsPtuyoUKKtwvaQC+4+nwjs4EoVlNcgpqcDlm6WoVDEoKq9GUXk1Tufc0eozyNMZrf3d0aaFG9rcm+y1DXCHhzOt8hFCHIPDTuwIIcKikEkQ6qNAqI8ruga7g8llMWJ4O812Art27ULfuHjkK2uRU1J576sC2UWVyLpVjltl1cgrrUJeaRUOZt5q1HaYjyuigj3QKcgTnYLq/2zurv2kOyGE2Dua2DWBPe9irQsfO7ubeg7Xu+wLeWd3rvoV0y77DX+6yoD2/q5o76+9MXjp3VpcvlWBrMJyZN3781JhOW4qqzUTwV1///M0vL+7Ap2DPRAd5oXuYV6ICvKAs7zxE+hC3mWf65zQV+7Iv5+EnBPmjI9LQs4JY/XsOSfMadvh3jzRFImJiUhMTIRKpUJmZqbV3jxBCOFORS1wvbJ+C5bccgbXKxjcqgLYB54tljIsQpoBLd1ZRLizaOXOwsNJT6OEEGJD5rx5giZ2FlAqlfD09ER+fr5V3jzBx27ihsZs7TZMOcdYHXN3FG9KmS3wEQtT61saCyHlREV1HS7cLMOZ66U4nXMHp3PuoKi8Rqte6+bNECQtw2MDu6Bv6+Zwt/BePWvEguuc0FfuyL+fhJwTlnweLnDVJx+xsOecUCqV8PPzo1eKWVtDAO1xF2tD+NjZ3dRzLN3ZXd8xIe/szlW/fOzsbui4EHLCSy5HbGsXxLZuAaB+u5frt+8i5dptpFy7jZPZJbh4s6z+ki4kOLj5HCQM0DnEC/1a+2Jw+xboFuoNqZkvSrZGLLjOCX3ljvz7Scg5Yc74uMRVn3zEwh5zwpx2aWJHCHF4DMMg1McVoT6uGBMdDKB+w+TDmQXYvD8NN+rckF1ciTO5d3Am9w4Sky/D21WOQe1aIK59Cwxs0xyervTkLSGEfzSxI4QQHXyaOWF4VADYHDVGjOiHWxV1OHq5GAczb2F/RiFuV9ZiW+oNbEu9AamEQY9wbyR0CsDwzgEI9HThe/iEEAdFEztCCDFBkJcLxseEYHxMCOpUaqRcu40/Mwrx54VCXCosx/GrJTh+tQRLdqYjJtwbj3QOpEkeIcTmaGJHCCFmkkkl6B3pi96Rvpg3vANySyqRlF6AXX/n49S9+/RSrt3WTPKGd2oBF9vuDkIIcVA0sSOEkCYK9XHF8/0i8Hy/CNwsrcLv5/K1JnkSRoo/y1MxPiYUgzu0gEImNd4wIYSYiSZ2TWDPmx3qwscGoKaew/VmrELeAJSrfsW0Gas9xcHXVYpne4Xg2V4hKFBWYff5AvySloe/88rwx8Vb+OPiLXi5yPFI5wCMjQ5Cl2APMEzjp2v5yAl95fYci6a2IeScMGd8XOKqTz5iYc85YU7btI+dGWiDYkKIpW5WAiduSXCqiEFpzT8TuUBXFn391ejpx8KZ/lebEKIDbVBsZbRBMbdtmHKOpRuA6jsm5A1AueqXjw1ADR131Jx4sB2JVIZjV0qwLTUPey8UoKpWDQBwdZJiZJcAPNUzFG2bu9AGxWZ8Hmu1IeScsOTzcMEaOWGrWNhzTtAGxTbSEEB73OzQED42ADX1HK43YxXyBqBc9SumzVjtOQ73txPXIQBxHQJQWlmLranXsel4DrIKy7H51A1sPnUDXYI9EOXMYAgjtXlO6CsXUyzElBPmjI9LXOcE1/Ut+Xdv6BjfOWFOuxKrjIAQQohRnq5yTO4bgaTXBmDziw9hVNcgyKUMzt5Q4rvLUgxcfhCf7MtEUXk130MlhNgJWrEjhBCeMQyj2T6luLwjvj9+DesOZKK4ogaf7LuEVcmXMbpbEKb0j0D7AMOXYQghjo0mdoQQIiC+bgq8NCACQcoLkIR3x4ZjOUjLvYMtKdexJeU6+rb2xQv9I9E3wovvoRJCBEiUl2Krq6vRrVs3MAyDtLS0RscYhtH6+vzzz/kZKCGE6CGVAI90DsD2GX3x88t98EiXQEglDI5kFWPy+pMYteovnC5iUKdS8z1UQoiAiHLF7o033kBQUBDOnDmj8/j69esxbNgwzfeenp62GhohhJgtJtwbMeHeuHHnLtYfvorvTuTg4s0yXLwpRfKnR/DSwFYY1z0EznLa9JgQRye6id3vv/+OvXv34ueff8bvv/+us46XlxcCAgJMbrO6uhrV1f/cvKxUKgHY92aHuvCxAaip53C9GauQNwDlql8xbcZqz3GwpB199Vs0k+HNhDZ4qX9LfH0sG18dvoKckruYv+0cPknKxOS+4XiyRyjcnWX0+4mDNoScE+aMj0tCywlz6tlzTpjTtqj2sSsoKEBMTAy2b98OPz8/REREIDU1Fd26ddPUYRgGwcHBqKqqQkREBKZMmYIXX3wREon+q9KLFi3C4sWLtcppg2JCCJ+qVcCxQgbJeRLcubfpsYuUxYAAFoOC1HAV3f+6E+KYHHKDYpZlMWLECPTt2xdvv/02srOzdU7s3n33XQwZMgQuLi74448/sGDBAsybNw9vv/223rZ1rdiFhobSBsUctWHKOZZuAKrvmJA3AOWqXz42ADV03FFzwpJ2zM0JlpFix9l8rD2UjStFFQAAN4UUffxqsejpAWju4ar3XEeKhZhywpLPwwUh54SxepYcE0pOiGqDYn2rZfc7efIkjh49CqVSiXnz5hmse/8ErmHCt2TJEoMTO4VCAYVCoVXeEEB73OzQED42ADX1HK43YxXyBqBc9SumzVjtOQ6WtGNOTjzZuyUe7xmO3edv4tM/LuHizTLsvSHBkU+PYXKfCEzpFwHvZk4mtS/2WIgpJ8wZH5eEnBPG6tnjf7PNaVfwE7uZM2fiySefNFinZcuWePfdd/HXX39pTcB69OiBZ555Bhs3btR57kMPPQSlUomCggL4+/tzNm5CCLE1iYTBiM6BGNYpALvO3sB7v6Yhr1KFlclZWH/kKib2aYkX+kfC3Ykx3hghxC4JfmLn5+cHPz8/o/U+/fRTvPvuu5rv8/LykJCQgM2bN6N37956z0tNTYWzszO8vLy4GC4hhPBOImGQ0MkftdkqOEXEIHH/VaTnK7Fq/2VsPJqNZ3uHIcy2zz4QQmxE8BM7U4WFhTX63s3NDQDQqlUrhISEAAB27NiBmzdvIjY2Fi4uLkhOTsb8+fPx4osv6rzUSggh9kzCAEM7+mNEl2AkpRfgk32XkJ6vxJpDV+EkkeKaSyamDWoDnwcu0RJC7JdoJnamkMvlWLVqFebMmQO1Wo3IyEgsWbIEM2bM4HtohBBiNQzDYGinAMR39Me+C4X4OCkD6fllWHsoG5uO52Jin5aY2j8SbnSJlhC7J9qJXcuWLfHgA7/Dhg1rtDExIYQ4EoZhEN/RHwNbe+PDTbtxROmF9PwyrNp/GV8fu4YJD4UilC7REmLXRDuxI4QQohvDMIjyYfH6Mw9h/6USzSXa1QeuwlkqxQ23LLw4oDU8XW3/1CshpGloYtcE9ryLtS587Oxu6jmW7uyu75iQd3bnql8x7bJvz3GwpB1b5URdXR3i2vpiYGsf7LtYiE//zEJGQQUS91/B13/lYFJsGJ7pGaSzPXuMhZhywpzxcUnIOWGsnj3/N9uctkWzQbEtJCYmIjExESqVCpmZmfTmCUKIqKhZ4GwJg925EuTf/edNFoMC1RgYyMKFlgII4YVDvnnClpRKJTw9PenNExy1Ye4u++bs7K7vmJB3dueqXzHtsm/PcbCkHT5y4v7yIQ8/jD8ySvBZ8mVk3ap/k4WHswzP922Jp3sE4tjBZLuMhZhywpLPwwUh54Sxek3JCb5/P4nqzRNC1hBAe9zF2hA+dnY39RxLd3bXd0zIO7tz1a+Ydtm35zhY0g4fOQEACicnjO4ein91C8Gvqbn4786zKLhbh0/+yMKGo9fQrzmDAWoGrnYaCzHlhDnj45KQc8JYPXv8b7Y57UqsMgJCCCF2Typh8K8ugXirqwofje+MyObNcOduLXbmSDF4xSGs3n8ZFdV1fA+TEHIfs1bsSktLsW3bNhw6dAjZ2dmorKxE8+bNER0djYSEBPTp08da4ySEEMITCQP8q2sgxnQPxbaUHLz/29+4VVmL93dfxBeHruClAZGYEBsOVye6CEQI30xascvPz8fUqVMRGBiIJUuWoKKiAt26dcOQIUMQEhKC5OT6+y06duyIzZs3W3vMhBBCeCCVMBjdLQjzuqnwwaNRaOnripKKGiz7/SIGfJCMLw5ewd0aFd/DJMShmfS/V127dsVzzz2HEydOICoqSmedu3fvYvv27VixYgVyc3Mxd+5cTgdKCCFEGKQMMDI6CI/GhGJb6g189mcWckoqsXTXBaw5eAXTBkbi2YfC4SyX8j1UQhyOSRO78+fPo3nz5gbruLi44KmnnsJTTz2FW7ducTI4QgghwiWTSvBYj1CMiQ7GttM38FnyJeSW3MW7v9VP8F4e2ApP9w6jCR4hNmTSxM7YpK6p9e2VPW92qAsfG4Caeg4Xm7FastmnI8VCyJux2nMcLGmHj5zQV25qLMZ2C8C/OrfAttQ8rDpwBTfuVGHJznR8fuAyXhoQgSdigqFowgSPckIYv5+EnBPG6tnzf7PNadvsfex+/fVX3Q0xDJydndG6dWtERESY06TdoA2KCSHEuDo1cOIWg73XJbhdU7/RsacTi/hgNWJbsJDRfgyEmMWqGxRLJBIwDIMHT2soYxgG/fr1w/bt2+Ht7W3+6O0AbVDMbRumnGPpBqD6jgl5A1Cu+uVjA1BDxx01Jyxph4+c0FfelFhU16nx8+kbWH3gCm4qqwEAAR4KTBsYifHdg6EwY4ZHOSGM309Czglj9YSQE5ay6gbFSUlJmD9/PpYuXYpevXoBAE6cOIG3334b77zzDjw9PfHSSy9h7ty5+PLLLy37BHaiIYD2uNmhIXxsAGrqOVxvxirkDUC56ldMm7HacxwsaYePnNBXbkks5HJgYt9IPNk7HD+ezEVi8mXcVFZh0Y4LWHvwKmYMbo3HYkLhZMYEj3JCGL+fhJwTxurZ43+zzWnX7IndrFmzsHbt2kZ71g0ZMgTOzs548cUXcf78eXzyySd4/vnnzW2aEEKICClkUkyIbYnHeoRi88lcrNqfhbzSKszfdg6rki/jlcGtMS4mBHIpXaMlpKnMzqLLly/rXAb08PDAlStXAABt2rRBUVFR00dHCCFENJzlUkzs0xIHXo/DwpEd0dxdgRt37uKtrX9j8Ef78ePJXNSq1HwPkxC7ZvbELiYmBq+//nqjLU1u3bqFN954Az179gQAXLp0CSEhIdyNkhBCiGg4y6WY3DcCh96Iwzv/6gg/NwVyS+7ijZ/PYshHB7DlVC7qaIJHiEXMnth9+eWXuHr1KkJCQtC6dWu0adMGISEhyM7Oxrp16wAA5eXleOeddzgfrDGnT59GfHw8vLy84OvrixdffBHl5eWN6uTk5GDkyJFo1qwZ/Pz88Oqrr6KmpsbmYyWEEEfnLJdiSr/6Cd7bj3SAn5sTckoq8fpPZ/HwigP4OeU6TfAIMZPZ99i1a9cOFy5cwJ49e5CZmQmWZdG+fXvEx8dDIqmfJ44ZM4brcRqVl5eHhx9+GE888QRWrlwJpVKJ2bNnY9KkSfjpp58AACqVCo888giaN2+Ow4cPo7i4GBMnTgTLsvjss89sPmZCCCGAi5MUL/SPxNO9w/DtX9ew5sAVZBdX4t9bzmBlchZeGdwawzs6xv6ohDSVRW9sZhgGw4YNw6BBg6BQKMAwDNfjMtvOnTshl8uRmJiomWAmJiYiOjoaWVlZaN26Nfbu3Yv09HTk5uYiKCgIAPDRRx9h0qRJWLp0qd5HiKurq1FdXa35XqlUArDvzQ514WMDUFPP4XozViFvAMpVv2LajNWe42BJO3zkhL5yW8ZCzgCTY8PwePcgbDqRi3WHs3G1qAJzfjyDT31d0N+bweBqy6+wiCknzBkfl4ScE8bq2WNOPNinKczex06tVmPp0qX4/PPPUVBQgMzMTERGRuKdd95By5YtMWXKFLMHzIXPPvsMH3zwAXJzczVlGRkZaN++PdavX49JkyZhwYIF+OWXX3DmzBlNndu3b8PHxwd//vkn4uLidLa9aNEiLF68WKucNigmhBDrqVYBB28ySM6ToKKufgGhhTOLhBA1uvuxkPC/pkCITZizQTFYMy1evJiNjIxkv/32W9bFxYW9fPkyy7Isu3nzZvahhx4ytznOnDt3jpXJZOwHH3zAVldXsyUlJeyjjz7KAmDfe+89lmVZdurUqWx8fLzWuU5OTux3332nt+2qqiq2tLRU85Wbm8sCYPPz89nt27ezFRUVbE1NTaOviooKncd0lT9Ypu9ca39x0a8lbZhyjrE6ho6b8jM3p0yssTC1vqWxcNScsFYsuM4JIceipKyS/XhPOtth/g42/M2dbPibO9nBy5PZraeusXerqnmNQ1Ni0ZQ48BULIeeEsXr2nBNFRUUsALa0tNTofMjsS7Fff/011q5diyFDhmDatGma8i5duuDixYvmNmeUvtWy+508eRI9evTAxo0bMWfOHMybNw9SqRSvvvoq/P39IZX+835CXZeN2XtvzNBHoVBAoVBoldMGxdy2QRsUa6PNWMWTE5a0Y+8bFHPFWy7HjLjWCCzLxE2P9vjq6DVcvlWB17b8jVUHruLVIW3wSOdASExcwhNTTpgzPi4JOSeM1bPHnLDqBsU3btxA69attcrVarVVri/PnDkTTz75pME6LVu2BAA8/fTTePrpp1FQUIBmzZqBYRisWLFC8+7agIAAHD9+vNG5t2/fRm1tLfz9/TkfOyGEEO44y4DpgyLxfP9IbDiSjS8OXcGlwnK88n0qPvvzEmYNaYvhUQEmT/AIESOzJ3adOnXCoUOHEB4e3qh8y5YtiI6O5mxgDfz8/ODn52fWOQ2TtK+++grOzs6Ij48HAMTGxmLp0qXIz89HYGAgAGDv3r1QKBSIiYnhduCEEEKswt1ZjleGtMHEvi2x/nA21h2+gsyCcsz47jTa+btj9sNtMCwqQBAP9hFia2ZP7BYuXIgJEybgxo0bUKvV2Lp1KzIyMvD1119j586d1hijyVauXIk+ffrAzc0NSUlJeP311/Hf//4XXl5eAIChQ4eiY8eOmDBhAj788EOUlJRg7ty5mDp1qvGbEQkhhAiKh7Mcsx5ug0l9W2L9kav48vBVZBSU4eVNp9E1xBNvDGuPvq3NWxggxN6ZvUHxyJEjsXnzZuzatQsMw2DBggW4cOECduzYoVkZ48uJEycQHx+Pzp07Y+3atVizZg1effVVzXGpVIrffvsNzs7O6Nu3Lx5//HGMGTMGy5cv53HUhBBCmsLTRY7ZD7fF4TcH49XBreHqJMWZ66V4Zt1xPLPuL5zJvcP3EAmxGYv2sUtISEBCQgLXY2myr7/+2midsLAw3lcWCSGEcM/TRY45Q9vhuT4tkZichU1/5eBIVjFGZx3B8KgAzBrciu8hEmJ1Zq/YEUIIIULm56bAwpGd8Me/B2Jc9xAwDPD7uZsY8dkRfH9ZgvzSKr6HSIjVmLRi5+3tbfJNqCUlJU0akD2x512sdaE3TwhjZ3eu+hXTLvv2HAdL2nHUN08YYkm/Ae5y/HdsRzzfJxQf78vCvou38FehBA9/fBgTHgrF9IGR8HDRv42EkHPCnPFxScg5YayePecE52+e2Lhxo+bvxcXFePfdd5GQkIDY2FgAwLFjx7Bnzx688847eO211ywYsn1ITExEYmIiVCoVMjMz6c0ThBBiR7LLgB05UmQp6xcqmslYDAtRo68/CyldvyICZs6bJ8x+pdi4ceMQFxeHmTNnNipfuXIl9u3bh+3bt5s9YHujVCrh6emJ/Px8HD9+HPHx8VqbB9bW1iIpKUnrmK7yB8v0nWttXPRrSRumnGOsjqHjpvzMzSmzBT5iYWp9S2PhqDlhSTt85IS+cjHFora2Fnv3JsE5ojuW77uMrFsVAIBIP1e8Oawd4tr6Nbo6JeSc4OpnYi4h54SxevacE0qlEn5+fiZN7Mx+eGLPnj14//33tcoTEhLw1ltvmducXWsIoD3uYm0IF/1a0gYfu+wLeWd3rvoV0y779hwHS9rhIyf0lYslFgwDDOkYgIejgvHDyVx8nJSJK0WVeOnbVPRp5Yv5j3RApyBPi/rkIyfMGR+XhJwTxurZY06Y067Zi8++vr7Ytm2bVvn27dvh6+trbnOEEEKIzcmkEjz7UDiSXx+EaQNbwUkmwdHLxfjXZ4fxxk9nUFRezfcQCbGI2St2ixcvxpQpU7B//37NPXZ//fUXdu/ejXXr1nE+QEIIIcRaPJzleGt4ezzTOwwf7MnAjjN5+PHUdfx+7iZmD2kNb7NuViKEf2av2E2aNAlHjx6Fl5cXtm7dip9//hmenp44cuQIJk2aZIUhEkIIIdYV6uOKz56Kxs8v90HnYE+UVdXh/367iOVnpTiZfZvv4RFiMos2KO7duzc2bdrE9VgIIYQQXsWEe2P7jL744WQOPtydgbzKWjz95UmM6RaE/4zogBYeznwPkRCDTFqxq6ioMKtRc+sTQgghQiGVMHimdzj2zu6LPv5qMAywPS0Pgz86gHWHrqBOpeZ7iIToZdKKXevWrfHKK69g0qRJCAoK0lmHZVns27cPK1aswIABAzBv3jxOBypE9rzZoS5c9GtJG3xsxirkDUC56pePDUANHXfUnLCkHT5yQl+5mGJhbhtucgZPRKoxe2RPLN2dhTPXS/HubxewLfU6lo7uhE5BHia1a42csOTzcEHIOWGsnj3nhDltm7SPXUZGBt5++238+uuv6NatG3r06IGgoCA4Ozvj9u3bSE9Px7FjxyCXyzFv3jy8+OKLkEqlTfoQQkQbFBNCiGNSs8DxQga/XpOgUsVAAhaDAlkMC1VDIb7/3BGBsdoGxdevX8eWLVtw8OBBZGdn4+7du/Dz80N0dDQSEhIwYsQISCTi376bNijmtg1TzrF0A1B9x4S8AShX/fKxAaih446aE5a0w0dO6CsXUyy4iENReTXe/S0Dv527CQAI8XbBwhFtUXklhTYotmI7XPx+suecsNoGxSEhIXjttddE/dowczQE0B43OzSEi34taYOPzViFvAEoV/3ysQGooeOOmhOWtMNHTugrF1MsmhKHQG85Ep+NwbiLBXh72zlcv30XUzedQQ8/CXoPZBHgShsUW7MdLn4/2WNOmNOu+JfXCCGEEI4Nbu+PpDkDMblvSzAMcKpIguGfHsGuv/P5HhpxcDSxI4QQQizQTCHDwpGdsOXF3gh0ZXG7shbTN53Gq9+n4nZFDd/DIw6KJnaEEEJIE3QN8cTcziq8PDACUgmDX8/kYegnB/HHhQK+h0YckN1M7JYuXYo+ffrA1dUVXl5eWseLi4sxbNgwBAUFQaFQIDQ0FDNnzoRSqdTUyc7OBsMwWl+7d++24SchhBAiNjIJMOfhNtj6ch+0buGGW2XVmLLxFOZuOYOyKttuDUMcm91M7GpqavDYY4/h5Zdf1nlcIpFg9OjR+PXXX5GZmYkNGzZg3759mDZtmlbdffv2IT8/X/M1ePBgaw+fEEKIA+ga6oWdr/TDiwMiwTDATynXMeKzo7h4h+F7aMRBWPRKsUOHDmHNmjW4fPkyfvrpJwQHB+Obb75BREQE+vXrx/UYAQCLFy8GAGzYsEHncW9v70aTvvDwcEyfPh0ffvihVl1fX18EBASY3Hd1dTWqq6s13zesAtrzZoe68LEBqKnncL0Zq5A3AOWqXz42ADV03FFzwpJ2+MgJfeViioWtckIK4PX41ohr64s3t55DTsldrFZKUfnbBbye0A4KmcRg+0L+/STknDBWz55zwpy2zdrHDgB+/vlnTJgwAc888wy++eYbpKenIzIyEqtWrcLOnTuxa9cuswdsjg0bNmD27Nm4c+eOwXp5eXl4+umnERISgm+//RZA/aXYiIgIhIaGoqqqCm3atMFrr72G8ePHG2xr0aJFmonl/WiDYkIIIYZUq4BfrklwpKB+MhfsyuK5NioE0H86iBnM2aAYrJm6devGbty4kWVZlnVzc2MvX77MsizLpqamsv7+/uY2Z7b169eznp6eeo8/+eSTrIuLCwuAHTlyJHv37l3NsVu3brErVqxgjx8/zp48eZJ95513WIlEwn7zzTcG+6yqqmJLS0s1X7m5uSwANj8/n92+fTtbUVHB1tTUNPqqqKjQeUxX+YNl+s619hcX/VrShinnGKtj6LgpP3NzysQaC1PrWxoLR80Ja8WC65xwhFjwmRP/99UvbLfFe9jwN3ey7d7exW48cpktLy+3OA58xULIOWGsnj3nRFFREQuALS0tNTpPMvtSbEZGBgYMGKBV7uHhYXQV7UH6VsLud/LkSfTo0cPkNj/++GMsXLgQGRkZ+M9//oM5c+Zg1apVAAA/P79Gmyv36NEDt2/fxgcffIBnn31Wb5sKhQIKhUKrnDYo5rYN2qBYG9+bsTalHm1Q3PR2aINibfaaE519WEwe3QdvbTuPQ5eKsODXCziYWYQ4N9qgmDYoNs6cds2e2AUGBiIrKwstW7ZsVH748GFERkaa1dbMmTPx5JNPGqzzYD/GBAQEICAgAO3bt4evry/69++Pd955B4GBgTrrP/TQQ1i3bp1ZfRBCCCHmauGuwMbJvfDVkat4f/dF7Lt4CyflUoR2LsaAdqbf902IIWZP7F566SXMmjULX331FRiGQV5eHo4dO4a5c+diwYIFZrXl5+cHPz8/c4dgMvbe7YP3P/jwoNTUVL2TPkIIIYRLEgmDF/pH4qFIX7z6/WlcKarExA0pmDWkDV4Z3AZSCT09S5rG7IndG2+8gdLSUsTFxaGqqgoDBgyAQqHA3LlzMXPmTGuMEQCQk5ODkpIS5OTkQKVSIS0tDQDQunVruLm5YdeuXSgoKEDPnj3h5uaG9PR0vPHGG+jbt69m1W/jxo2Qy+WIjo6GRCLBjh078Omnn+L999+32rgJIYSQB0UFe2Lbyw/hpTX78FehBJ/su4ST2SX45IloeDnbzU5kRIAs2u5k6dKlmD9/PtLT06FWq9GxY0e4ublxPbZGFixYgI0bN2q+j46OBgAkJydj0KBBcHFxwRdffIHXXnsN1dXVCA0NxaOPPoq33nqrUTvvvvsurl27BqlUirZt2+Krr74yeH8dIYQQYg2uTjI81UqNcf27YMGvF3AkqxgjPj2Ejx/rzPfQiB2zaGIHAK6urujRoweUSiX27duHdu3aoUOHDlyOrZENGzbo3cMOAOLi4nD06FGDbUycOBETJ07keGSEEEKI5cZ0C0J0uA+mbzqNzIJyPLf+FIaFMBimNms3MkIAWPDmiccffxwrV64EANy9exc9e/bE448/ji5duuDnn3/mfICEEEKI2LVu4Y7tM/pifEwI1CywK1eKKd+cRnG5/nvECdHF7BW7gwcPYv78+QCAbdu2Qa1W486dO9i4cSPeffddjBs3jvNBCpU972KtC715Qhg7u3PVL715oumEvMs+vXnC+m3YOifkDLBsTEdEB7th0c4LOJxVjBH/O4RPn+yKzoHNtNqgN0+YV8+ec8Kqb55wcXFBZmYmQkND8dxzzyEoKAj//e9/kZOTg44dO6K8vNzsAduLxMREJCYmQqVSITMzk948QQghxCryK4H1mVIU3GUgZViMbalGP38WDD0065DMefOE2St2oaGhOHbsGHx8fLB792788MMPAIDbt2/D2dnZshHbiRkzZmDGjBlQKpXw9PREXFwcjh8/jvj4eK3NA2tra5GUlKR1TFf5g2X6zrU2Lvq1pA1TzjFWx9BxU37m5pTZAh+xMLW+pbFw1JywpB0+ckJfuZhiYW85sXPWACzYkYnfzxfgp6tSXCtT4/Opg+Dh6mzR5+GCkHPCWD17zomGd9SbwuyJ3ezZs/HMM8/Azc0N4eHhGDRoEID6S7SdOzvWkzwNAbTHXawN4WNnd1PP4XqXfSHv7M5Vv3zs7G7ouKPmhCXt8JET+srFFAt7yQmvZi5Y9WwM1h26iv/uvoiTRRI8sz4Vayf0QJivq9HzrUnIOWGsnj3mhDntmv3wxPTp0/HXX3/hq6++wuHDhyGR1DcRGRmJd99919zmCCGEEKIHwzCYOiASGyfFwE3G4uLNMoxceRjJGYV8D40IlEXbncTExCAmJqZR2SOPPMLJgAghhBDSWO8IH7zeRYWthb44c70Uz284iVfiWiGCdkQhD7BoYnf9+nX8+uuvyMnJQU1NTaNjK1as4GRghBBCCPmHlwLYNKUn3tudie+O5+DTPy+jk7cEAwbXwpeHy+JEmMye2P3xxx8YNWoUIiIikJGRgaioKGRnZ4NlWXTv3t0aYySEEEIIAIVMgvfGdka3UC+8vf0czt8Gxn7+F9Y+1wPtAww/LUkcg9n32M2bNw///ve/ce7cOTg7O+Pnn39Gbm4uBg4ciMcee8waYySEEELIfR7vEYofp/aCj4JFTsldjE08ih1n8vgeFhEAs1fsLly4gO+//77+ZJkMd+/ehZubG5YsWYLRo0fj5Zdf5nyQQmXPmx3qwscGoKaew/VmrE0pswVH2IzVULmYcsKSdvjICX3lYoqFmHICANo2d8G/O6uws7g5jl29jVe+T0VaTgnmxreBTGr2uo1JhJwTxurZc06Y07bZGxQHBATgzz//RMeOHdGpUycsW7YMo0aNwpkzZ9C3b1/aoJgQQgixIRUL/JYjwR959ZO5Nh5qTGqrhhvddica5mxQbPbEbsyYMXjkkUcwdepUvPHGG9i2bRsmTZqErVu3wtvbG/v27WvS4O1BwwbF+fn5tEExB22Yco6lG4DqO9aUMlvgIxZcbABq6Lij5oQl7fCRE/rKxRQLMeWErrLfz93EW9vOo7JGhSBPZyQ+1Q1RwdzedyfknDBWz55zQqlUws/PzzpvnlixYoVmVW7RokUoLy/H5s2b0bp1a3z88ceWjdhONQTQHjc7NISPDUBNPYfrzVibUmYLjrQZq9hzwpJ2+MgJfeViioWYcuL+slHRoWgX6IWXvjmF7OJKPLHuBN4b2xnjY0KMjt1cQs4JY/XsMSfMadfsiV1kZKTm766urli1apW5TRBCCCHECtoFuOOXmf3w2uY0/HmxEHO3nMHZ63fw9iMd4SSzzn13RFgsjnJNTQ2uX7+OnJycRl+EEEII4Y+nixzrnuuBWUPaAAC+PnYNz6z7C4VlVTyPjNiC2RO7zMxM9O/fHy4uLggPD0dERAQiIiLQsmVLREREWGOMhBBCCDGDRMLgtfi2WPdcD7grZDiZfRv/+vQwUq7d5ntoxMrMnthNnjwZEokEO3fuREpKCk6fPo3Tp08jNTUVp0+ftsYYAQBLly5Fnz594OrqCi8vL511Tp48iSFDhsDLywve3t4YOnQo0tLSGtX5+++/MXDgQLi4uCA4OBhLliyBmc+PEEIIIXbh4Y7++GVmX7Ru4YbCsmo8ufYYNh2/Rv/dEzGz77FLS0tDSkoK2rdvb43x6FVTU4PHHnsMsbGx+PLLL7WOl5WVISEhAaNHj8aqVatQV1eHhQsXIiEhAdevX4dcLodSqUR8fDzi4uJw8uRJZGZmYtKkSWjWrBn+/e9/2/TzEEIIIbYQ2dwN22f0xetbzuD3czcxf9s5nM0txeLRneAsl/I9PMIxsyd2HTt2RFFRkTXGYtDixYsBABs2bNB5PCMjA7dv38aSJUsQGhoKAFi4cCG6dOmCnJwctGrVCps2bUJVVRU2bNgAhUKBqKgoZGZmYsWKFZgzZw4YhtHZdnV1NaqrqzXfK5VKAPa92aEufGwAauo5XG/G2pQyW6DNWMWTE5a0w0dO6CsXUyzElBPmjA8AFBLgf493RqdAd6zYdwmbT+XiQn4pVj7VDYGezkbPt6RPLtvhIhb2nBPmtG3SPnYNExkAOHXqFN5++22899576Ny5s9YjuMb2V2mqDRs2YPbs2bhz506j8rKyMkRGRmLGjBn4z3/+A5VKhXnz5mHfvn1IS0uDTCbDc889h9LSUvzyyy+a81JTU9G9e3dcuXJF7z2CixYt0kws70cbFBNCCLE3F+8w2HhJgso6Bm4yFpPbqtDak+9REUPM2aAYrAkYhmElEonm68Hv7y+ztvXr17Oenp46j507d45t1aqVZkzt27dnr127pjkeHx/PTp06tdE5N27cYAGwR48e1dtnVVUVW1paqvnKzc1lAbD5+fns9u3b2YqKCrampqbRV0VFhc5jusofLNN3rrW/uOjXkjZMOcdYHUPHTfmZm1Mm1liYWt/SWDhqTlgrFlznhCPEQkw50dSfyeWCO2zCxwfY8Dd3spHzfmPX7L/EVldX2yQOfMXCnnOiqKiIBcCWlpYanSeZdCk2OTm5ybNNXfSthN3v5MmT6NGjh9G27t69i+effx59+/bF999/D5VKheXLl2PEiBE4efIkXFxcAEDrcit7b8FS32VYAFAoFFAoFFrltEExt23QBsXaaDNW8eSEJe3QBsXaKCe4+f0U2cIT26b3xbytZ7E9LQ/v/Z6B8/ll+O+jXeDiZPy+OyHnhLF69pgTnG9QPHDgQIsHY8jMmTPx5JNPGqzTsmVLk9r67rvvkJ2djWPHjkEikWjKvL298csvv+DJJ59EQEAAbt682ei8wsJCAIC/v7/5H4AQQgixUy5OUnz8RDd0CfHC0l0X8EtaHjILyrHm2RiE+dJtRvbK5IcnKisr8frrr2P79u2ora3Fww8/jE8//RR+fn4Wd+7n59ek8x8cn0QiabTy1vC9Wq0GAMTGxuI///kPampq4OTkBADYu3cvgoKCTJ5AEkIIIWLBMAye7xeBjkEemPndaVzIV2LkysP47KloDGjbnO/hEQuYvI/dwoULsWHDBjzyyCN48sknkZSUhJdfftmaY2skJycHaWlpyMnJgUqlQlpaGtLS0jTvrY2Pj8ft27cxY8YMXLhwAefPn8fkyZMhk8kQFxcHAHj66aehUCgwadIknDt3Dtu2bcN7771n8IlYQgghROweivTFjlf6oWuoF0rv1mLi+hNITM6i/e7skMkrdlu3bsWXX36puXT67LPPom/fvlCpVJBKrb8PzoIFC7Bx40bN99HR0QDq7/8bNGgQ2rdvjx07dmDx4sWIjY2FRCJBdHQ0du/ejcDAQACAp6cnkpKSMGPGDPTo0QPe3t6YM2cO5syZY/XxE0IIIUIW6OmCzS8+hEW/nscPJ3Px4Z4M/H29FMsf7wo3hdm7oxGemByp3Nxc9O/fX/N9r169IJPJkJeXp9k3zpo2bNigdw+7BvHx8YiPjzdYp3Pnzjh48CCHIyOEEELEwVkuxX/HdUGXEC8s/PUcdp+/iazEcqyZEINWzd34Hh4xgckTO5VKpbkvTXOyTIa6ujrOB2Uv7HmzQ11og2LaoNiU+rRBsfXboQ2KtVFO2Pb302PdA9HazwWv/HAGWYXlGL3yCJaPi8KA1t6c9EkbFJuH8w2KgfoHEYYPH95o248dO3Zg8ODBaNasmaZs69atZgzVviQmJiIxMREqlQqZmZm0QTEhhBBRU9YA6zOluFJWfx96Qogaw0LUkNBt6TZlzgbFJk/sJk+ebFLn69evN6mePVMqlfD09ER+fj6OHz+O+Ph4rT1mamtrkZSUpHVMV/mDZfrOtTYu+rWkDVPOMVbH0HFTfubmlNkCH7Ewtb6lsXDUnLCkHT5yQl+5mGIhppyw5PNYqqZOjf/uzsA3x3MBAB291Fg3dQCae1i+sMFHLOw5J5RKJfz8/Eya2Jl8KdYRJmzmagigPW52aAgfG4Caeg7Xm7FacwNQLtBmrOLJCUva4SMn9JWLKRZiyglzxmcpuRz4v7Fd0C3MB//Z9jfS7wDj1p7Cp09Fo2dLnya2TRsUm8Kcdk3e7oQQQgghjmtcTAg2T+2F5s4s8kur8MSaY/jsj0tQqWlLFCGhiR0hhBBCTNIpyANzu6gwpmsg1CzwUVImnl13HAXKKr6HRu6hiR0hhBBCTOYsBT4c3xkfPdYVrk5SHLtSjOH/O4TkjEK+h0ZAEztCCCGEWGBcTAh2vNIPHQM9UFJRg8nrT+LdnemorlPxPTSHRhM7QgghhFikVXM3bJ3eB5P6tAQArDt8FaNXHsGFfCW/A3NgNLEjhBBCiMWc5VIsGtUJ657rAd9mTrh4swyjVh7G6v2X6cEKHtDL35rAnnex1oWPnd1NPYfrXfaFsLO7IbTLvnhywpJ2+MgJfeViioWYcsKc8XHJUJ8D2/jgt5mxePuXdOy7eAvv776IPy7cxPuPRiHMx9Xkdszt19R69pwT5rRt8gbFhN48QQghhBjDssCJWwx+zpagWsVAIWExtqUaD7VgwdAbKyxilTdPkH/Qmye4bcOUcyzd2V3fMaHt7G7O57FWG1zs7G7ouKPmhCXt8JET+srFFAsx5YQln4cL5vR5/fZdvLH1HE5m3wYADGjjiyWjOiLYy4WXWNhzTljlzRNEW0MA7XEXa0P42Nnd1HO43mVfKDu760O77IsnJyxph4+c0FcupliIKSfMGR+XTOkzooUcm1+MxZeHr+LDvRk4eKkYIz47itcT2uGpHsEmt2Nuv8bq2WNOmNMuPTxBCCGEEKuQSBhMHRCJ32f1R6+WPqisUWHxjnQ88cUJ5FfyPTpxookdIYQQQqyqVXM3/PDiQ1g6NgruChnOXC/Fh2el+N8fWbTvHcdoYkcIIYQQq5NIGDzTOxxJcwZiSPvmULEMVu6/goSPD9JbKzhkFxO77OxsTJkyBREREXBxcUGrVq2wcOFC1NTUaOqcOXMGTz31FEJDQ+Hi4oIOHTrgf//7n1Y7DMNofe3evdvWH4kQQghxSAGezlj9dDdMaqNCczcnZBdXYvL6k5j69SnkltD12aayi4cnLl68CLVajTVr1qB169Y4d+4cpk6dioqKCixfvhwAkJKSgubNm+Pbb79FaGgojh49ihdffBFSqRQzZ85s1N6+ffvQqVMnzfc+Pj42/TyEEEKII2MYBtF+LF59vB9WHbiK9UezkZRegIOZt/DyoFaYNrAVnOVSvodpl+xiYjds2DAMGzZM831kZCQyMjKwevVqzcTu+eefb3ROZGQkjh07hq1bt2pN7Hx9fREQEGBy/9XV1aiurtZ8r1TWvyrFnjc71IWPDUBNPYfrzViFvAEoV/2KaTNWe46DJe3wkRP6ysUUCzHlhDnj4xLXOeEsZfFmQhs82i0QS367gL+u3sYn+y5hy6lczHm4Df7VOQASCcNJLOw5J8xp2273sXv77bexe/dunDp1Sm+dZ599FlVVVfjpp58A1F+KjYiIQGhoKKqqqtCmTRu89tprGD9+vMG+Fi1ahMWLF2uV0wbFhBBCCDdYFkgrZrDtmgSlNfU7GYc2YzE6XI02nnY5VeGM6Dcovnz5Mrp3746PPvoIL7zwgs46x44dw8CBA/Hbb78hPj4eAFBUVIRvvvkGffv2hUQiwa+//oqlS5di48aNePbZZ/X2p2vFLjQ0lDYo5qgNU86xdANQfceEvAEoV/3ysQGooeOOmhOWtMNHTugrF1MsxJQTlnweLtgiJ+7WqLD+6DWsPXwVFdX1T8wObOOLPq4FmDCaNigW9AbF+lbC7nfy5En06NFD831eXh6GDRuGxx57TO+k7vz58xg9ejQWLFigmdQBgJ+fH1577TXN9z169MDt27fxwQcfGJzYKRQKKBQKrfKGANrjZoeG8LEBqKnncL0Zq5A3AOWqXzFtxmrPcbCkHT5yQl+5mGIhppwwZ3xcsmZOyOVyzIpvh2diW+LTPy7hu+M5OHCpGAchxQVcxKz4dojwa2bx+OwxJ8xpl9eJ3cyZM/Hkk08arNOyZUvN3/Py8hAXF4fY2FisXbtWZ/309HQMHjwYU6dOxdtvv210DA899BDWrVtn1rgJIYQQYl1+bgosGR2FSX1aYtmuC0i6UIjtZ/Lx69l8jIkOxquD26ClkQmeI+J1Yufn5wc/Pz+T6t64cQNxcXGIiYnB+vXrIZFo79Ry/vx5DB48GBMnTsTSpUtNajc1NRWBgYFmjZsQQgghthHZ3A2rnu6Gz3/chdM1AUjOKMLW0zfwS1oexkYHY2Zca5rg3ccunorNy8vDoEGDEBYWhuXLl+PWrVuaYw1Pt54/fx5xcXEYOnQo5syZg5s3bwIApFIpmjdvDgDYuHEj5HI5oqOjIZFIsGPHDnz66ad4//33bf+hCCGEEGKyMDdg2ojuSL9ZgU/2ZSI54xZ+SrmOn09fx7BOAXhxQCSiAt34Hibv7GJit3fvXmRlZSErKwshISGNjjU8+7FlyxbcunULmzZtwqZNmzTHw8PDkZ2drfn+3XffxbVr1yCVStG2bVt89dVXBu+vI4QQQohwdA31wvrJvZCacxuf/ZmFPy8W4vdzN/H7uZvoEe6Fbs4Mhqnt7rlQztjFmycmTZoElmV1fjVYtGiRzuP3T+omTpyI9PR0VFRUQKlU4tSpUzSpI4QQQuxQdJg3vprUE3tfG4DxMSGQSxmcunYH6zKkGP7ZEWw4chXKKtvutygEdrFiJ1T2vNmhLnxsAGrqOVxvxirkDUC56ldMm7HacxwsaYePnNBXLqZYiCknzBkfl4SYExE+zlg2piNmDY7EhiPZ2HT8Gq4UVWLRjnS8v/siRnUNxFM9Q9G2uYveNoSeE+a0bZf72PElMTERiYmJUKlUyMzMpA2KCSGEEIGpqgNOFjE4fFOCm3cZTXm4G4vYFmpE+7JwtrNlLdFvUMw3pVIJT09P2qCYozb42IxVyBuActWvmDZjtec4WNIOHzmhr1xMsRBTTljyebgg5Jx4sJ5MJsPJa7fx3Ynr2JtegFpV/XTHWSZBfMcWGBsdhD6RvpDee2WZkHPCbjYotncNAbTHzQ4N4WMDUFPP4XozViFvAMpVv2LajNWe42BJO3zkhL5yMcVCTDlhzvi4JOScuL9e3zb+6NvGH7fKqrH5xDV8czgTBXfV2HH2JnacvQl/DwXGdAvG0A7NwbLCzQlz2qWJHSGEEEJErbm7Ai8NiEBI2QWEdO2LX87cxK9n8lCgrMaag1ew5uAV+Cik+FuagX91DUa3UC8wDGO8YQGiiR0hhBBCHALDAF1DPNEjwg9v/6sD/rxQiJ1/5+PPCwUoqVbjyyPX8OWRawjydEZCVAAGtPZFnZrvUZuHJnaEEEIIcTgKmRTDOwdieOdAKCuq8MnmvShQBGN/xi3klVZh/ZFsrD+SDSeJFL+XpmJIxwAMatccfq7CnjoJe3SEEEIIIVbm4iRFV18WI0Z0gQoSHMy8hT8uFCI5oxCFZdXYd/EW9l2sf+tV2xZuCJBI4HShEH3atIDQ5nkCGw4hhBBCCH+c5VIM7RSAoZ0CUF1dgy9++h11LdrjwKUipOXeQWZhOTIhwcHv0iBhgKggDzRnJQi7oUR0S1++h08TO0IIIYQQXSQSBqFuwIhBkZgd3w4lFTU4nFmAzfvTkFfnhqvFlTh7QwlAgl7ZJTSxs3e0szs3bfCxy76Qd3bnql8x7bJvz3GwpB0+ckJfuZhiIaacMGd8XBJyThirx0VOuDsxeLidL9gcNeLje6OoUoWjWbew9ch5PNTSy2qxMKdd2qDYDPTmCUIIIYTYGr15wsrozRPctsHHLvtC3tmdq37FtMu+PcfBknb4yAl95WKKhZhywpLPwwUh54SxevacE/TmCRtpCCDt7M5NG3zssi/knd256ldMu+zbcxwsaYePnNBXLqZYiCknzBkfl4ScE8bq2WNOmNOuxCojIIQQQgghNkcTO0IIIYQQkbCLiV12djamTJmCiIgIuLi4oFWrVli4cCFqamo0dTZs2ACGYXR+FRYWaur9/fffGDhwIFxcXBAcHIwlS5aAbjMkhBBCiBjYxT12Fy9ehFqtxpo1a9C6dWucO3cOU6dORUVFBZYvXw4AeOKJJzBs2LBG502aNAlVVVVo0aIFgPqbD+Pj4xEXF4eTJ08iMzMTkyZNQrNmzfDvf//b5p+LEEIIIYRLdjGxGzZsWKNJW2RkJDIyMrB69WrNxM7FxQUuLi6aOrdu3cKff/6JL7/8UlO2adMmVFVVYcOGDVAoFIiKikJmZiZWrFiBOXPmgGEY230oQgghhBCO2cXETpfS0lL4+PjoPf7111/D1dUV48eP15QdO3YMAwcOhEKh0JQlJCRg3rx5yM7ORkREhM62qqurUV1d3ahvACgpKUFlZSWKi4t1Pjqt65iu8gfL9J1rbVz0a0kbppxjrI6h46b8zM0pswU+YmFqfUtj4ag5YUk7fOSEvnIxxUJMOWHJ5+GCkHPCWD17zomysjIAMOnWMbuc2F2+fBmfffYZPvroI711vvrqKzz99NONVvFu3ryJli1bNqrn7++vOaZvYrds2TIsXrxYq7xt27YWjJ4QQgghxHxlZWXw9PQ0WIfXid2iRYt0Tpjud/LkSfTo0UPzfV5eHoYNG4bHHnsML7zwgs5zjh07hvT0dHz99ddaxx683Now+zV0GXbevHmYM2eO5nu1Wo2SkhL4+vqiV69eOHnypM7zevbsqfOYrvL7y5RKJUJDQ5Gbm2t0I0Ku6Ruztdsw5RxjdQwdN/Yz11fmaLEwtb6lsXDUnLCkHT5yQl+5mGIhlpwA+IuFkHPCWD17zQmWZVFWVoagoCCjdXmd2M2cORNPPvmkwTr3r7Dl5eUhLi4OsbGxWLt2rd5z1q1bh27duiEmJqZReUBAAG7evNmorOGJ2YaVO10UCkWjy7cA4OXlBQCQSqV6A6nvmK5yXWUeHh42/8Vp6PNYsw1TzjFWx9xYmFoGOE4sTK1vaSwcNScsaYePnNBXLqZYiC0nANvHQsg5YayePeeEsZW6BrxO7Pz8/ODn52dS3Rs3biAuLg4xMTFYv349JBLdO7WUl5fjxx9/xLJly7SOxcbG4j//+Q9qamrg5OQEANi7dy+CgoK0LtGaasaMGWYf01VuqB1b4mIclrRhyjnG6pgbCyHHAeAnFqbWtzQWjpoTlrTDR07oKxdTLCgnmk7IOWGsnthyQhe7eFdsXl4eBg4ciLCwMHz99deQSqWaYwEBAY3qfvnll5g5cyby8vLg7e3d6FhpaSnatWuHwYMH4z//+Q8uXbqESZMmYcGCBYLa7qThXbSmvBOOWBfFQhgoDsJBsRAOioUwCC0OdvHwxN69e5GVlYWsrCyEhIQ0OvbgvPTLL7/Eo48+qjWpA+qXMZOSkjBjxgz06NED3t7emDNnTqP754RAoVBg4cKFWpd/ie1RLISB4iAcFAvhoFgIg9DiYBcrdoQQQgghxDi7eKUYIYQQQggxjiZ2hBBCCCEiQRM7QgghhBCRoIkdIYQQQohI0MSOEEIIIUQkaGInApWVlQgPD8fcuXP5HorDKisrQ8+ePdGtWzd07twZX3zxBd9Dcli5ubkYNGgQOnbsiC5dumDLli18D8lhjR07Ft7e3hg/fjzfQ3E4O3fuRLt27dCmTRusW7eO7+E4NFvnAW13IgLz58/HpUuXEBYWhuXLl/M9HIekUqlQXV0NV1dXVFZWIioqCidPnoSvry/fQ3M4+fn5KCgoQLdu3VBYWIju3bsjIyMDzZo143toDic5ORnl5eXYuHEjfvrpJ76H4zDq6urQsWNHJCcnw8PDA927d8fx48fh4+PD99Ackq3zgFbs7NylS5dw8eJFjBgxgu+hODSpVApXV1cAQFVVFVQqldbm2cQ2AgMD0a1bNwBAixYt4OPjg5KSEn4H5aDi4uLg7u7O9zAczokTJ9CpUycEBwfD3d0dI0aMwJ49e/gelsOydR7QxM6KDh48iJEjRyIoKAgMw2D79u1adVatWoWIiAg4OzsjJiYGhw4dMquPuXPn6nwvLmnMFrG4c+cOunbtipCQELzxxhsmvwfZ0dgiFg1OnToFtVqN0NDQJo5afGwZB2KepsYmLy8PwcHBmu9DQkJw48YNWwxddOwxT2hiZ0UVFRXo2rUrVq5cqfP45s2bMXv2bMyfPx+pqano378/hg8fjpycHE2dmJgYREVFaX3l5eXhl19+Qdu2bdG2bVtbfSS7Ze1YAICXlxfOnDmDq1ev4rvvvkNBQYFNPpu9sUUsAKC4uBjPPfcc1q5da/XPZI9sFQdivqbGRtfVAoZhrDpmseIiT2yOJTYBgN22bVujsl69erHTpk1rVNa+fXv2rbfeMqnNt956iw0JCWHDw8NZX19f1sPDg128eDFXQxYta8TiQdOmTWN//PFHS4foMKwVi6qqKrZ///7s119/zcUwRc+aOZGcnMyOGzeuqUN0WJbE5siRI+yYMWM0x1599VV206ZNVh+r2DUlT2yZB7Rix5OamhqkpKRg6NChjcqHDh2Ko0ePmtTGsmXLkJubi+zsbCxfvhxTp07FggULrDFcUeMiFgUFBVAqlQAApVKJgwcPol27dpyPVey4iAXLspg0aRIGDx6MCRMmWGOYosdFHIh1mBKbXr164dy5c7hx4wbKysqwa9cuJCQk8DFcURNqnsh469nBFRUVQaVSwd/fv1G5v78/bt68ydOoHBMXsbh+/TqmTJkClmXBsixmzpyJLl26WGO4osZFLI4cOYLNmzejS5cumvthvvnmG3Tu3Jnr4YoWV7+fEhIScPr0aVRUVCAkJATbtm1Dz549uR6uQzElNjKZDB999BHi4uKgVqvxxhtv0BP6VmBqntg6D2hix7MH73tgWdaieyEmTZrE0YgcV1NiERMTg7S0NCuMyjE1JRb9+vWDWq22xrAcTlN/P9GTmNZjLDajRo3CqFGjbD0sh2QsFrbOA7oUyxM/Pz9IpVKt//stLCzUmv0T66JYCAfFQhgoDsJFsREOocaCJnY8cXJyQkxMDJKSkhqVJyUloU+fPjyNyjFRLISDYiEMFAfhotgIh1BjQZdirai8vBxZWVma769evYq0tDT4+PggLCwMc+bMwYQJE9CjRw/ExsZi7dq1yMnJwbRp03gctThRLISDYiEMFAfhotgIh13GwibP3jqo5ORkFoDW18SJEzV1EhMT2fDwcNbJyYnt3r07e+DAAf4GLGIUC+GgWAgDxUG4KDbCYY+xoHfFEkIIIYSIBN1jRwghhBAiEjSxI4QQQggRCZrYEUIIIYSIBE3sCCGEEEJEgiZ2hBBCCCEiQRM7QgghhBCRoIkdIYQQQohI0MSOEEIIIUQkaGJHCCGEECISNLEjhBCBqampQevWrXHkyBGrtD9o0CDMnj3bKm0bU11djbCwMKSkpPDSPyFiRxM7QohVTZo0CQzDaH3d/2Jt0tjatWsRHh6Ovn372rTfQYMG4fPPP7dqHwqFAnPnzsWbb75p1X4IcVQ0sSOEWN2wYcOQn5/f6CsiIkKrXk1NDQ+jE57PPvsML7zwgsE6tbW1nPZZUlKCo0ePYuTIkZy2q8szzzyDQ4cO4cKFC1bvixBHQxM7QojVKRQKBAQENPqSSqUYNGgQZs6ciTlz5sDPzw/x8fEAgPT0dIwYMQJubm7w9/fHhAkTUFRUpGmvoqICzz33HNzc3BAYGIiPPvpI6/IiwzDYvn17o3F4eXlhw4YNmu9v3LiBJ554At7e3vD19cXo0aORnZ2tOT5p0iSMGTMGy5cvR2BgIHx9fTFjxoxGk6rq6mq88cYbCA0NhUKhQJs2bfDll1+CZVm0bt0ay5cvbzSGc+fOQSKR4PLlyzp/VqdPn0ZWVhYeeeQRTVl2djYYhsGPP/6IQYMGwdnZGd9++y2Ki4vx1FNPISQkBK6urujcuTO+//77Ru3p+lnp8ttvv6Fr164IDg7G7du38cwzz6B58+ZwcXFBmzZtsH79epN/bgDw1VdfoVOnTlAoFAgMDMTMmTM1x3x9fdGnTx+tsRJCmo4mdoQQXm3cuBEymQxHjhzBmjVrkJ+fj4EDB6Jbt244deoUdu/ejYKCAjz++OOac15//XUkJydj27Zt2Lt3L/bv32/2PVuVlZWIi4uDm5sbDh48iMOHD8PNzQ3Dhg1rtHKYnJyMy5cvIzk5GRs3bsSGDRsaTQ6fe+45/PDDD/j0009x4cIFfP7553BzcwPDMHj++ecbTYiA+glP//790apVK53jOnjwINq2bQsPDw+tY2+++SZeffVVXLhwAQkJCaiqqkJMTAx27tyJc+fO4cUXX8SECRNw/Phxs39Wv/76K0aPHg0AeOedd5Ceno7ff/8dFy5cwOrVq+Hn52fyz2316tWYMWMGXnzxRfz999/49ddf0bp160b99erVC4cOHTIUIkKIJVhCCLGiiRMnslKplG3WrJnma/z48SzLsuzAgQPZbt26Nar/zjvvsEOHDm1UlpubywJgMzIy2LKyMtbJyYn94YcfNMeLi4tZFxcXdtasWZoyAOy2bdsatePp6cmuX7+eZVmW/fLLL9l27dqxarVac7y6upp1cXFh9+zZoxl7eHg4W1dXp6nz2GOPsU888QTLsiybkZHBAmCTkpJ0fva8vDxWKpWyx48fZ1mWZWtqatjmzZuzGzZs0PvzmjVrFjt48OBGZVevXmUBsJ988one8xqMGDGC/fe//82yLGvyz6qqqop1d3dnz549y7Isy44cOZKdPHmyzvZN+bkFBQWx8+fPNzjO//3vf2zLli2Nfh5CiHlk/E4rCSGOIC4uDqtXr9Z836xZM83fe/To0ahuSkoKkpOT4ebmptXO5cuXcffuXdTU1CA2NlZT7uPjg3bt2pk1ppSUFGRlZcHd3b1ReVVVVaPLpJ06dYJUKtV8HxgYiL///hsAkJaWBqlUioEDB+rsIzAwEI888gi++uor9OrVCzt37kRVVRUee+wxveO6e/cunJ2ddR578GelUqnw3//+F5s3b8aNGzdQXV2N6upqzc/38uXLJv2s/vzzT/j6+qJz584AgJdffhnjxo3D6dOnMXToUIwZMwZ9+vQx6edWWFiIvLw8DBkyRO9nBAAXFxdUVlYarEMIMR9N7AghVtesWTOtS3H3H7ufWq3GyJEj8f7772vVDQwMxKVLl0zqk2EYsCzbqOz+e+PUajViYmKwadMmrXObN2/+/+3cSyjsbRwH8O97HBYu2bhFNGkWxAwztprGJXJpyDW3TDNELFAsRsgakwlRNiwsZOWacilMLonZMJGZSClWZDHJ1Ix3oXfe83c5M8o5R3O+n5qayzPP8/x/q2/P8/z/rve+vr6v+nU6nQCew4k7dXV1qKmpweDgICYmJlBeXg5/f/9324eEhLiC40sva6XX6zE4OAiDwQCJRIKAgAC0tra6tkRfXv97ftyGBYCcnBxcXl5iaWkJa2tryMjIQHNzMwYGBtzW7ds3z0743N7eCupMRJ+DZ+yI6EuRy+Uwm80QiUQQi8WC138B0dfXF3t7e67/3N3d4ezsTNBPaGgorq+vXZ8tFotghUgul8NisSAsLOzVOMHBwR7NVSKRwOl0YnNz8902ubm5CAgIwNjYGJaXl6HRaH7ap0wmw+npqUehzGg0oqCgANXV1UhKSkJsbKwg+HpSq6enJywsLEClUgn6Dg0NhVqtxtTUFAwGA8bHxwG4r1tQUBBEIhHW19d/Ovfj42PIZDK310hEH8NgR0RfSnNzM25vb1FRUYH9/X2cn59jZWUFGo0GDocDgYGB0Gq16OjowPr6Oo6Pj6FWq1+tFKWnp2NkZAQmkwkHBwdobGwUrL5VVVUhJCQEBQUFMBqNuLi4wObmJlpaWnB1deXRXEUiEWpra6HRaDA7O4uLiwtsbGxgZmbG1cbHxwdqtRo6nQ5isViwLfqWtLQ02Gw2mM1mt+OLxWKsrq5iZ2cHJycnaGhowM3Njet3T2p1eHgIm80GhULh+q6npwdzc3OwWq0wm81YXFxEfHy8x3Xr7e2FXq/H0NAQLBYLTCYThoeHBXM3Go3Iyspye41E9DEMdkT0pURGRmJ7exsOhwPZ2dlITExES0sLgoODXYGkv78fCoUCKpUKmZmZSE1NRUpKiqAfvV6P6OhoKBQKVFZWor29XbAF6u/vj62tLcTExKCoqAjx8fHQaDR4eHh4847U94yNjaGkpARNTU2Ii4tDfX09bDaboI1Wq4Xdbne7Wgc8PwqkqKjoza3Ol7q7uyGXy5GdnQ2lUomIiAgUFhYK2rir1dzcHPLy8vD9+/8nc/z8/KDT6SCVSqFQKODj44Pp6WkAntWttrYWBoMBo6OjSEhIQH5+vmAlcXd3F/f39ygpKXF7jUT0Mf88eXoIg4joC1MqlUhOTobBYPjTU3lle3sbSqUSV1dXCA8Pd9v+6OgImZmZb96k8NmkUim6uroEj5P51UpLSyGTydDZ2fnbxiT6W3DFjojoF3l8fITVakV3dzfKyso8CnXA89m9vr6+Vw/9/Wx2ux3FxcXIycn5peP86PHxEUlJSWhra/ttYxL9TbhiR0Re4Suu2E1OTkKr1SI5ORnz8/OIior601MiIi/HYEdERETkJbgVS0REROQlGOyIiIiIvASDHREREZGXYLAjIiIi8hIMdkRERERegsGOiIiIyEsw2BERERF5CQY7IiIiIi/xLx8cr1AmmjCBAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# extract system input-output pairs\n", + "# index order is [output, input]\n", + "plt.figure(figsize=(7,3))\n", + "sys_thetaref_to_theta = sys[0, 0] \n", + "sys_d_to_theta = sys[0, 1]\n", + "t, y = ct.step_response(sys_thetaref_to_theta) # step response\n", + "plt.plot(t,y)\n", + "plt.figure(figsize=(7,3))\n", + "t, yd = ct.step_response(sys_d_to_theta) # disturbance response\n", + "plt.plot(t,yd);\n", + "plt.figure(figsize=(7,5))\n", + "ct.bode_plot(sys_thetaref_to_theta, plot=True);" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/simulating_sampled_data_systems.ipynb b/examples/simulating_sampled_data_systems.ipynb new file mode 100644 index 000000000..471141af8 --- /dev/null +++ b/examples/simulating_sampled_data_systems.ipynb @@ -0,0 +1,584 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e2b51597", + "metadata": {}, + "source": [ + "# simulating sampled-data control systems \n", + "Sawyer B. Fuller 2023.03" + ] + }, + { + "attachments": { + "image-4.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "6934e483", + "metadata": {}, + "source": [ + "This example creates a precise simulation of a sampled-data control system consisting of discrete-time controller(s) and continuous-time plant dynamics like the following.\n", + "![image-4.png](attachment:image-4.png)" + ] + }, + { + "cell_type": "markdown", + "id": "02dab3bc", + "metadata": {}, + "source": [ + "In many cases, it is sufficient to use a discretized model of your plant using a zero-order-hold for control design because it is exact at the sampling instants. However, a more complete simulation of your sampled-data feedback control system may be desired if you want to additionally \n", + "\n", + "* observe behavior that occurs between sampling instants,\n", + "* model the effect of time delays,\n", + "* simulate your controller operating with a nonlinear plant, which may not have an exact zero-order-hold discretization\n", + "\n", + "Here, we include helper functions that can be used in conjunction with the Python Control Systems Library to create a simulation of such a closed-loop system, providing a Simulink-like interconnection system. \n", + "\n", + "Our approach is to discretize all of the constituent systems, including the plant and controller(s) with a much shorter time step `simulation_dt` that we specify. With this, behavior that occurs between the sampling instants of our discrete-time controller can be observed. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "5ffaa0e8", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np # arrays\n", + "import matplotlib.pyplot as plt # plots \n", + "%config InlineBackend.figure_format='retina' # high-res plots\n", + "\n", + "import control as ct # control systems library" + ] + }, + { + "cell_type": "markdown", + "id": "39555216", + "metadata": {}, + "source": [ + "We will assume the controller is a discrete-time system of the form\n", + "\n", + "$x[k+1] = f(x[k], u[k])$
$~~~~~~~y[k]=g(x[k],u[k])$ \n", + "\n", + "For this course we will primarily work with linear systems of the form \n", + "\n", + "$x[k+1] = Ax[k]+Bu[k]$
$~~~~~~~y[k]=Cx[k]+Du[k]$ \n", + "\n", + "The plant is assumed to be continuous-time, of the form \n", + "\n", + "$\\dot x = f(x(t), u(t))$,
$y = g(x(t), u(t))$\n", + "\n", + "For this course, we will design our controller using a linearized model of the plant given by \n", + "\n", + "$\\dot x = Ax + Bu$,
$y = Cx + Du$ " + ] + }, + { + "cell_type": "markdown", + "id": "36d410a9", + "metadata": {}, + "source": [ + "The first step to create our interconnected system is to create a discrete-time model of the plant, which uses the short time interval `simulation_dt`. Each subsystem gets signal names according to the diagram above, and we use `interconnect` to automatically connect signals of the same name. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "852cb7dd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 434, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# continuous-time plant model\n", + "plantcont = ct.tf(1, (0.03, 1), inputs='u', outputs='y')\n", + "t, y = ct.step_response(plantcont, 0.1)\n", + "plt.plot(t, y, label='continouous-time model')\n", + "\n", + "# create discrete-time simulation form assuming a zero-order hold\n", + "simulation_dt = 0.02 # time step for numerical simulation (\"numerical integration\")\n", + "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", + "\n", + "t, y = ct.step_response(plant_simulator, 0.1)\n", + "plt.plot(t, y, '.-', label='discrete-time model')\n", + "plt.legend()\n", + "plt.xlabel('time (s)');" + ] + }, + { + "cell_type": "markdown", + "id": "17955fa7", + "metadata": {}, + "source": [ + "Next we create a model of a sampled-data controller that operates as a nonlinear discrete-time system with a much shorter time step than the controller's sampling time `Ts`. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "654c2948", + "metadata": {}, + "outputs": [], + "source": [ + "def sampled_data_controller(controller, plant_dt): \n", + " \"\"\"\n", + " Create a (discrete-time, non-linear) system that models the behavior \n", + " of a digital controller. \n", + " \n", + " The system that is returned models the behavior of a sampled-data \n", + " controller, consisting of a sampler and a digital-to-analog converter. \n", + " The returned system is discrete-time, and its timebase `plant_dt` is \n", + " much smaller than the sampling interval of the controller, \n", + " `controller.dt`, to insure that continuous-time dynamics of the plant \n", + " are accurately simulated. This system must be interconnected\n", + " to a plant with the same dt. The controller's sampling period must be \n", + " greater than or equal to `plant_dt`, and an integral multiple of it. \n", + " The plant that is connected to it must be converted to a discrete-time \n", + " approximation with a sampling interval that is also `plant_dt`. A \n", + " controller that is a pure gain must have its `dt` specified (not None). \n", + " \"\"\"\n", + " assert ct.isdtime(controller, True), \"controller must be discrete-time\"\n", + " controller = ct.ss(controller) # convert to state-space if not already\n", + " # the following is used to ensure the number before '%' is a bit larger \n", + " one_plus_eps = 1 + np.finfo(float).eps \n", + " assert np.isclose(0, controller.dt*one_plus_eps % plant_dt), \\\n", + " \"plant_dt must be an integral multiple of the controller's dt\"\n", + " nsteps = int(round(controller.dt / plant_dt))\n", + " step = 0\n", + " def updatefunction(t, x, u, params): # update if it is time to sample \n", + " nonlocal step\n", + " if step == 0:\n", + " x = controller._rhs(t, x, u)\n", + " step += 1\n", + " if step == nsteps:\n", + " step = 0\n", + " return x\n", + " y = np.zeros((controller.noutputs, 1))\n", + " def outputfunction(t, x, u, params): # update if it is time to sample\n", + " nonlocal y\n", + " if step == 0: # last time updatefunction was called was a sample time\n", + " y = controller._out(t, x, u) \n", + " return y\n", + " return ct.ss(updatefunction, outputfunction, dt=plant_dt, \n", + " name=controller.name, inputs=controller.input_labels, \n", + " outputs=controller.output_labels, states=controller.state_labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "80836738", + "metadata": {}, + "outputs": [], + "source": [ + "# create discrete-time controller with some dynamics\n", + "controller_Ts = .1 # sampling interval of controller\n", + "controller = ct.tf(1, [1, -.9], controller_Ts, inputs='e', outputs='u')\n", + "\n", + "# create model of controller with a much shorter sampling time for simulation\n", + "controller_simulator = sampled_data_controller(controller, simulation_dt)" + ] + }, + { + "cell_type": "markdown", + "id": "30567aaa", + "metadata": {}, + "source": [ + "If the model is simulated with a short time step, its staircase output behavior can be observed. Because the controller model is nonlinear, we must use `ct.input_output_response`." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "39e9b769", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 414, + "width": 534 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "time = np.arange(0, 1.5, simulation_dt)\n", + "step_input = np.ones_like(time)\n", + "t, y = ct.input_output_response(controller_simulator, time, step_input)\n", + "plt.plot(t, y, '.-');" + ] + }, + { + "cell_type": "markdown", + "id": "1020f95a", + "metadata": {}, + "source": [ + "## simulating a closed-loop system\n", + "\n", + "Now we are able to construct a closed-loop simulation of the full sampled-data system. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "f8675193", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "plantcont = ct.tf(.5, (0.1, 1), inputs='u', outputs='y')\n", + "u_summer = ct.summing_junction(inputs=['-y', 'r'], outputs='e')\n", + "\n", + "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", + "# system from r to y\n", + "Gyr_simulator = ct.interconnect((controller_simulator, plant_simulator, u_summer), inputs='r', outputs=['y', 'u'])\n", + "\n", + "# simulate\n", + "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", + "y, u = y # extract respones\n", + "plt.plot(t, y, '.-', label='y')\n", + "plt.legend()\n", + "plt.figure()\n", + "plt.plot(t, u, '.-', label='u')\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "id": "fb9c601d", + "metadata": {}, + "source": [ + "## time delays\n", + "\n", + "Given that all of the interconnected systems are being simulated in discrete-time with the same small time interval `simulation_dt`, we can construct a system that implements time delays by suitable choice of $A, B, C, $ and $D$ matrices. For example, a 3-step delay has the form \n", + "\n", + "$x[k+1] = \\begin{bmatrix}0 & 0 & 0\\\\ 1 & 0 & 0\\\\ 0 & 1 & 0\\end{bmatrix}x[k]+\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}u[k]$
\n", + "\n", + "$~~~~~~~y[k]=\\begin{bmatrix}0 & 0 & 1\\end{bmatrix}x[k]$ \n", + "\n", + "The following function creates an arbitrarily-long time delay system, up to the nearest $dt$. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "92767723", + "metadata": {}, + "outputs": [], + "source": [ + "def time_delay_system(delay, dt, inputs=1, outputs=1, **kwargs):\n", + " \"\"\"\n", + " creates a pure time delay discrete-time system. \n", + " time delay is equal to nearest whole number of `dt`s.\"\"\"\n", + " assert delay >= 0, \"delay must be greater than or equal to zero\"\n", + " n = int(round(delay/dt))\n", + " ninputs = inputs if isinstance(inputs, (int, float)) else len(inputs)\n", + " assert ninputs == 1, \"only one input supported\"\n", + " A = np.eye(n, k=-1)\n", + " B = np.eye(n, 1)\n", + " C = np.eye(1, n, k=n-1)\n", + " D = np.zeros((1,1))\n", + " return ct.ss(A, B, C, D, dt, inputs=inputs, outputs=outputs, **kwargs)" + ] + }, + { + "cell_type": "markdown", + "id": "5a5e6f76", + "metadata": {}, + "source": [ + "The step response of the time-delay system is shifted to the right." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e82445c4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\n", + "\\begin{array}{ll}\n", + "A = \\left(\\begin{array}{rllrllrllrllrll}\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "&\n", + "B = \\left(\\begin{array}{rll}\n", + "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "\\\\\n", + "C = \\left(\\begin{array}{rllrllrllrllrll}\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "&\n", + "D = \\left(\\begin{array}{rll}\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "\\end{array}~,~dt=0.02\n", + "$$" + ], + "text/plain": [ + "['ud']>" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "delayer = time_delay_system(.1, simulation_dt, inputs='u', outputs='ud')\n", + "t, y = ct.input_output_response(delayer, time, step_input) \n", + "plt.plot(time, step_input, 'r.-', label='input')\n", + "plt.plot(t, y, '.-', label='output')\n", + "plt.legend()\n", + "delayer" + ] + }, + { + "cell_type": "markdown", + "id": "862ce22c", + "metadata": {}, + "source": [ + "We can incorporate this delay into our closed-loop system. The time delay shifts the response to the right and brings the system closer to instability." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d8f6e5b3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# incorporate delay into system by relabeling plant input signal\n", + "plant_simulator = ct.ss(plant_simulator, inputs='ud', outputs='y')\n", + "\n", + "# system from r to y\n", + "Gyr_simulator = ct.interconnect((controller_simulator, plant_simulator, u_summer, delayer), \n", + " inputs='r', outputs='y')\n", + "\n", + "# simulate\n", + "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", + "plt.plot(t, y, '.-');" + ] + }, + { + "cell_type": "markdown", + "id": "c6c41775", + "metadata": {}, + "source": [ + "We can also observe how the dynamics behave with a nonlinear plant." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "83655c36", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "def nonlinear_plant_dynamics(t, x, u, params):\n", + " return -10 * x * abs(x) + u\n", + "def nonlinear_plant_output(t, x, u, params):\n", + " return 5 * x\n", + "nonlinear_plant = ct.ss(nonlinear_plant_dynamics, nonlinear_plant_output, \n", + " inputs='ud', outputs='y', states=1)\n", + "\n", + "# compare step responses \n", + "t, y = ct.input_output_response(nonlinear_plant, time, step_input)\n", + "plt.plot(t, y, label='nonlinear')\n", + "t, y = ct.step_response(plantcont, 1.5)\n", + "plt.plot(t, y, label='linear')\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "id": "a7a163d6", + "metadata": {}, + "source": [ + "## now create a closed-loop system. \n", + "\n", + "Note that this system is not intended to show operation of well-designed feedback control system. " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "dce984be", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 546 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# create zero-order hold approximation of plant2 dynamics\n", + "def discrete_nonlinear_plant_dynamics(t, x, u, params):\n", + " return x + simulation_dt * nonlinear_plant_dynamics(t, x, u, params)\n", + "nonlinear_plant_simulator = ct.NonlinearIOSystem(discrete_nonlinear_plant_dynamics, nonlinear_plant_output, \n", + " dt=simulation_dt,\n", + " inputs='ud', outputs='y', states=1)\n", + "\n", + "# system from r to y\n", + "nonlinear_Gyr_simulator = ct.interconnect((controller_simulator, nonlinear_plant_simulator, u_summer, delayer), \n", + " inputs='r', outputs=['y', 'u'])\n", + "\n", + "# simulate\n", + "t, y = ct.input_output_response(nonlinear_Gyr_simulator, time, step_input)\n", + "plt.plot(t, y[0],'.-');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f0fe24a2", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 7733044e41ba51b445f23d00ece03d5ce53d65f9 Mon Sep 17 00:00:00 2001 From: Sawyer Fuller Date: Sun, 9 Apr 2023 16:28:32 -0700 Subject: [PATCH 2/5] reword examples according to @murrayrm suggestion, change example to be compatible with new interconnect --- doc/examples.rst | 5 +++- ..._nonlinear_and_sampled_data_systems.ipynb} | 29 ++++++++++--------- 2 files changed, 19 insertions(+), 15 deletions(-) rename examples/{simulating_sampled_data_systems.ipynb => interconnected_nonlinear_and_sampled_data_systems.ipynb} (99%) diff --git a/doc/examples.rst b/doc/examples.rst index 1ea328bd7..1410407db 100644 --- a/doc/examples.rst +++ b/doc/examples.rst @@ -37,7 +37,10 @@ Jupyter notebooks The examples below use `python-control` in a Jupyter notebook environment. These notebooks demonstrate the use of modeling, anaylsis, and design tools -using running examples in FBS2e. +using examples from textbooks +(`FBS `_, +`OBC `_), courses, and other +online sources. .. toctree:: :maxdepth: 1 diff --git a/examples/simulating_sampled_data_systems.ipynb b/examples/interconnected_nonlinear_and_sampled_data_systems.ipynb similarity index 99% rename from examples/simulating_sampled_data_systems.ipynb rename to examples/interconnected_nonlinear_and_sampled_data_systems.ipynb index 471141af8..5c5306029 100644 --- a/examples/simulating_sampled_data_systems.ipynb +++ b/examples/interconnected_nonlinear_and_sampled_data_systems.ipynb @@ -5,7 +5,7 @@ "id": "e2b51597", "metadata": {}, "source": [ - "# simulating sampled-data control systems \n", + "# simulating Simulink-like interconnections of systems including nonlinear and sampled-data systems \n", "Sawyer B. Fuller 2023.03" ] }, @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "5ffaa0e8", "metadata": {}, "outputs": [], @@ -91,7 +91,7 @@ "outputs": [ { "data": { - "image/png": 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xQ4YM4ZNPPmHr1q1MnTqVoUOHUqNGDdu9nzlzhpdffpk77riDdu3a5Rvjueee49NPPwWgadOmPPvss3Tp0oXU1FSWL1/O9OnTSUxM5LbbbmPHjh106tQp3zVGjx7NH3/8AUCPHj144oknaNGiBdHR0cydO5fFixczZcqUAu81NzeXIUOGsH79ekwmEyNHjmTYsGE0bdqU7OxsduzYwfvvv09YWBh33XUXW7dupWvXrv/o/RUREZHSkZaVQ3RSJjFJGUQnW/8bk5xJQkI8JIThnRyGX3oktXOiaGiKpbEphmtMsfiaivb0qU3Ij3DHp5VnkdYSiVhET45UEB9++KHt72no0KFGRkaGw365ublGZGSkXdvPP/9sO/f66683MjMz8503a9YsW58RI0bkO573N7KAw9+uZ2RkGO3btzcAo0aNGg5/cz5u3DgDMJo0aXLZey7skyOA8cADDxgWiyVfv0mTJtn67NmzJ9/xp556ynb8xRdfzHfcYrEYo0ePtvWZMWNGkerMq6AnR2JiYgxfX18DrE/whIWF5euzZ88ew8/PzwCMBg0aGFlZWXbHS+LJkXXr1hXqyZDs7GwjMTGxwDEK0qRJEwMwxo0bd9m+zmo1DPuPS5PJZCxbtixfn/379xtubm4GWJ8i8vLyMrZv356v38qVK23X+uCDD/IdDwsLs/0djRs3zumTIS+88IIBGGaz2Thy5Mhl7+9Sef8eAePDDz/M1ycqKsr2dE+tWrWc3vu+fftsTyJdfMokr/3799uOt2/f3oiPj8/XZ9WqVbY+PXr0yHd8+fLltlpvueUWh+/La6+9ZndPjp4cee+99wzA8PDwMH755ReH701cXJztqZ9+/frlO64nR0RERErXxSc9dpw6b6zYF2l8semE8cbKEOPR7/YY93y+1bj+3bXGoJfnGyOff8d45oVpxif/N8b46cWbjD0vdTFiX25YuKdAivsnM+XyN1AG9ORIJWaxGMSnZZV1GaWmmq8nZnPBa0oUlcVi4d133wWgQYMGzJ8/Hy8vL4d9zWYz9evXt2u7+FthDw8P5syZg6enZ77zHnjgARYtWsTatWtZunQpUVFR1KtXz+EYw4YN47777svX7uXlxSOPPMKDDz7I+fPnCQkJoWPHjkW61+KoV68en3zyicO1PJ566im+/PJLADZv3kznzp1txzIzM23H2rZt63BNC5PJxIwZM/j11185f/4806dPZ+rUqSV+D3PmzLGt1fL+++/TqFGjfH06d+7M888/z4svvkhkZCQ//vgjd999d4nWcfbsWdvra665xmk/d3d3/P39S3Tsf2rEiBHceeed+do7dOhAv3792LhxI7GxsTz33HP07NkzX79bbrmFJk2aEBoayubNm3niiSfsjn/00UekpaVRv359PvvsM9zdHX8beu2115g3bx6RkZHMnz8/35MxRdGzZ08ee+yxfO1169Zl6NChzJs3j9jYWEaOHOnw3jt27Ei/fv3YtGkTmzdvznd85syZtvV0vvjiCwIDA/P1ufnmm5k4cSJffvklO3bsYOfOnXTv3t3uGmD9/P/iiy8cvi8vvvgiixcv5sCBAw7vMzs72/aUzSOPPMLgwYMd9qtWrRrvvvsut9xyC1u2bOH48eM0b97cYV8REREpPsMwiE/L5mxiBmeT0jmbmMnZpAzOJqZz9uITIEkZxKdlUZ1kGptiaHThT1NTLAMuvK5vOo+7yQL5f/xwLQ9f6/a+lYTCkQoiPi2Lrv9ZW9ZllJrdL95AjSqOg4vi2rt3L5GRkYA1xKhSpUqhz83JyWHjxo0A3HjjjQ5/6L7ogQceYO3ateTk5LBhwwZGjRrlsN/o0aOdXiPvY+4nT54slXBk+PDhTsOiVq1aUaVKFVJSUmxTZy7avXs3CQkJAIwfP97pdBl/f39GjBjBzJkzCQkJKTA4Kq61a62fI4GBgdx1111O+02aNIkXX3zRdk5JhyN572vOnDkOfzAvr0aOHOn0WMeOHW2fB/fcc0+B/UJDQ/N9rAD89NNPAAwZMgRvb2+n13B3d6d3794sWbLE4VSuorjcPV1U0D116tSJTZs2Obynix93bdu2pVevXk6v8cADD9iCxLVr19rCkbxfXwYNGpQvmL3IbDYzbtw4nn76aYfHd+zYYVtodcSIEU7rAPvQbtu2bQpHREREishiMTiXmklUQgZRidbAIyopg6iEjAthiPVPVo71Fyg+ZNDQdI7GpmgamWK51hRDI1OsNQzxisGvuFNfCikXN+I965Hq24BqWWfxTwu9/Elt76w8U2pQOCKVyF9//WV7XdBv8x05efKk7YkER78tzyvvcWe/4QVo3bq102PVq1e3vU5OTi5smf9IQfWA9bfNKSkp+erJe4+FeW8u/ob8wIEDJR6OXKylc+fOeHh4OO1Xp04dgoKCOH36dIF/R8XVr18/mjVrxsmTJ3n88cf59ttvGTp0KAMGDKBbt24OnzoC62/+jxw54vS6rVq1KvC+SkLLli2dHsv7RERh+l36sZKYmMjx48cB+Pzzz/n8888LVVPeJ3GKw5X3lJmZybFjx4DLf/xf/LjMzs62+7g7ceKE7etL3qdJHOnRo4fTY7t27bK97t27d4HXyeufvr8iIiJXGsMwiEvNIioxgzMJ6ZxJSLe+vhCCnEmwPvGRYzFs57iRSz1THI1MMQSZYuh/Ifho7GkNQWqZEl1ed4ZXTbL8G2MKbIJHzWZ41WqKqXpTCGyCm399aprdqAnWXWhmXet8txoAszv0fsjlNZcnCkek0jh37pztdVF/KI+Li7O9rlOnToF969at6/C8S/n6+jo9Zs6T0Obm5hamxH+soHrg75ourccV701xXbzm5eq4WMvp06ddUoeHh4dtu+dDhw6xc+dOdu7cCYCPjw8DBgxgzJgx3HPPPXZP2kRGRtKhQwen1z116hRBQUElXm9ehf24LEy/Sz9WYmJiilWTo22ti6Ik7+nS7ajj4+Ntry/3cefh4UGNGjU4e/as3cdd3ms4WsA2r4LGKKv3V0REpKLJyM7lTEI6kReCj8iES0KQhHQycyyXnGVQ7cLUl86mWOtTH+7Wp0AaX5j64mFy7b/bLR5VMKo1we1C4EG1IKh24b+BjfH28MH5c7l51O0AQz93vp2v2d16vK7zf5deiRSOSKXkaF2N0jj3Sne598YwjAKPl1Yd4Ppa2rZtS3BwMCtWrGDFihVs3LiREydOkJ6ezq+//sqvv/7KBx98wC+//HLZH4ivFHnDkscff5z777+/UOc5e9KmvCnux13etn/yOZT3/d2wYQM1atS4bD1w+UBGRESkIjEMg8T0bCLi04mItwYgkfHpdmHI+VTHazl6k0lDUyx9TLE0drOu99E4z/SXKqYM19ZudscU0ChP4JEnAAkMwuxbHUrqZ5EOw6FWK9g2w7orTXaadY2RtndanxipZMEIKBypMKr5erL7xRvKuoxSU8235H8Yqlmzpu31mTNnaNWqVaHPzTvN5XKPoOc9nve8K9Wl701BUxOio6MdngfOfzN/qdTU1AJriYqKKtQ0gYu1OKvjcrUUVMdFbm5u3HnnnbZFPqOioli1ahUzZsxg9+7d7N69mylTpti2hw4KCiq1AKks5P1hPS0tjfbt25dhNSWjWrVqtteX+7jLycmxPTGS9+Mu7+u8nyOOFPR0SN7319PT84p4f0VERC51cZHTiPg0wuPSiYhPIzLhQhASb/3/1CzHT3CYsVCP8/Qyx9oWPr345EcjUyy1TQmuvwG/2pc88dHE9tpUtT64leKP6HU7wNCZ1u16c9Kti69WojVGLqVwpIIwm00lvkBpZdOlSxfb602bNjFw4MBCn9usWTN8fX1JS0vjzz//LLDvjh07bK9d9cNJeXp6Je89/vnnnwWu51LQe1O1alXAfoqBIwWtydG+fXuioqL466+/yM7Odro+R0xMDKGhoQXWcblaCqrDmXr16jFx4kTGjBlDr1692LNnDz///DPp6en4+BR9JfDy9HFQGLVq1aJBgwZERkaydu1aDMOocPdwKS8vL1q0aMGxY8cu+7Xh4scl2H/cXXXVVbavLxenXzlT0PG8u0itXr26SOuOiIiIlCeJ6dmEx6UREZ9GRHz6hdfpF/44Dz/AIJAUOtgCD+uTHw1tU1/O4eniqS94VnEw5eVCABLYGDz9XDt+cZjN5bOuUqZwRCqNTp060ahRI8LDw/nyyy+ZNm1aoXescXd3Z8CAAaxatYo1a9YQHh7udMeai7tRuLm5ce2115ZU+XYu7vKRmenaVa0Lo2vXrgQGBpKQkMC8efN48sknHe5Yk5yczKJFiwDrlJNL131p2rQpAEePHiU5OdkupLgoNjbWtjOIIzfccANr1qwhISGBH374wekuJbNnz7Y9oXHDDfZPZF2sA6wLXDrb9WbBggVO67gcDw8PBgwYwJ49e8jJySEhIaFY4Uh5+jgorNtvv52ZM2dy8uRJlixZUuI7BZWFG264gWPHjhESEsL27dud7lhz8WvDxXMuyvv1ZfXq1U53crJYLMybN89pHf369aN69erExcXx2Wef8cQTT5S7raJFREQAsnIsRCakExaXRvjFP/FpF/4/ncT0bKfnepHFVRcXO73kyY+Gphj8TemuLd7kBoGNLpny0gSqNbW+9q1RclNfpFRV3mdmpNIxm822LTAjIiIYO3YsWVmO5xtaLBbOnDlj1/bwww8D1h1FJk6c6PDcr776itWrVwNw1113lfhuLBddvG5MTEyp7WbjjJeXF5MmTQLg4MGDvPbaa/n6GIbBI488YlsU95FHHsnXZ8CAAQBkZWXxySef5DuenZ3N/fffT3q68294EyZMsC2qOW3aNMLDw/P12bdvH2+++SYADRo0sE15uSgwMNC2veucOXMcLti6adMmPv74Y6d1bN682bYriyNZWVm2rVurVKlCrVq1nPYtyMWPgxMnThTr/LLw9NNP27aMfvDBB+12WHHkl19+Yf/+/aVRWrFNnTrVNh1r8uTJJCbmX41+9erVzJ49G7DuOHPprjRTp04FrEHXlClTHC7E/NZbbxEcHOy0Dm9vb5566inAOsVn5MiRBU7/Sk5OZvr06Ze5OxERkeJJTMtmf0QCP+8/w6frj/Pskv2MmrWdvm//TquXVjHwvQ2M+2oHL/54gM83neSX4LMciEwiOT2Tepynp+kQw9028oT7Yj7wmMESz1f50+shjniPZ53X08z1fJd/e8zjAfdfuMltF23NoSUXjPjVgobdof1w6P8U3P4JjF0Oj+2HF2PgsX0wbjnc/jH0n2Zdv6NhV/CrqWCkAtOTI1KpPPzww6xYsYI1a9awbNkyOnTowEMPPUS3bt3w9fXl7NmzbN++ne+++457772XV1991Xburbfeyt13383ixYtZu3YtPXv2ZNq0abRp04b4+HgWLlzIV199BVjXEPjggw9cdh99+vQBrCHOgw8+yL/+9S9q1Khhm6LQvHlzl43tyMsvv8zSpUs5efIkr7/+OgcOHGDixInUr1+fU6dOMX36dDZs2ABYtxidPHlyvmvceuutNGnShNDQUF566SXOnTvHsGHD8Pb25sCBA3z88cfs3buXnj17Op2+UKtWLd59910efvhhzpw5Q7du3Xjuuefo06cPubm5rF27lnfffZeUlBRMJhOzZs1yOPXmoYce4sEHHyQ6Opr+/fvz0ksv0apVK+Li4vj555+ZOXMm3bp1Y9u2bQ7rWLduHa+//jr9+/fn1ltvpWPHjtSqVYv09HSOHj3KZ599xp49ewCYNGkS7u7F+1Lcp08f1q9fz86dO3n77bcZPHgwfn7WRyJ9fHxo0KBBsa7rSk2bNuWzzz5jwoQJxMXF0bdvX8aMGcNtt91G48aNycnJISIigh07drBkyRJOnDjBihUrbIFVedShQwemTZvGu+++S3BwMF26dOHZZ5+lc+fOpKWlsWLFCj7++GNyc3Px9PR0uIXxkCFDGDJkiG0B3759+/LEE0/QokULYmJimDt3Lt9//z3du3cvcGrNM888w7p161i3bh2rVq2ibdu2PPjgg/Tu3ZvAwECSk5M5cuQIGzZs4Mcff8Tb29thWCkiInI5hmEQm5JJ2Pk0Tp9PI/R8qu2/oefTCnj6wyCAVAdPflinvzQ0xbp+6ouHn8M1P2yvNcWkUlI4IpWK2Wzmxx9/ZNy4cSxZsoSjR4/y+OOPF/r8+fPnk5OTw7Jly9i7dy9jxozJ16d+/fqsXLnSpT+YXnfddfTq1Yvt27ezYMGCfFM8SntRz6pVq7Ju3ToGDx7M4cOHWbZsmW2R0bz69u3L8uXLHU678fT05JtvvuHmm28mNTWV//3vf/zvf/+zHXdzc+ODDz4gISGhwLUdHnroIRISEnjppZeIiYnhySefzNfHy8uLWbNmccsttzi8xgMPPMCvv/7Kjz/+SEhICKNGjbI73r59e3744Qfq16/vtA6LxcLGjRttT4g4MmzYMN566y2nxy9n6tSpzJw5k7i4OJ5//nmef/5527EBAwbYAqnyZvz48fj4+DB58mSSkpKYPXu27amKS5nNZlvgU569/fbbpKamMmPGDE6ePMmUKVPy9QkICGDRokVcffXVDq/x7bffMnjwYP744w/+/PPPfNPCunTpwueff263ftKl3NzcWLFiBQ8++CDz588nLCyMF154wWl/7VQjIiIFMQyD2ORMTp1L5fT5VE6dsw9B0pys/fH31JdY26KnecMQf5OLt5E3uUFAQwe7vlx4rSc8xAGFI1Lp+Pr6snjxYtavX8+cOXPYsmULZ8+exd3dnQYNGtC2bVuGDx/O7bffnu9cb29vli5dyooVK5g7dy7bt2/n3Llz+Pn50bJlS+68804eeeSRQq9lUlxms5nVq1fz3//+lxUrVnDixAlSU1PLdKeToKAg9u3bxxdffMHixYs5cOAASUlJVK9enc6dOzN69Gjuvfdeu91gLtWvXz92797NG2+8wbp164iNjaVmzZr06dOHJ598kj59+tg9zePMCy+8wG233cb06dP5/fffOXPmDGazmcaNGzNo0CAef/xxgoKCnJ5vNptZsmQJn3/+OXPnziUkJASwLpx5zz338Pjjj9um7zjyzDPP0LNnT9asWcO2bds4c+aMbZeRunXr0rNnT8aOHes0nCmsBg0asGPHDt566y02btxIREQEGRmu3WKupNxzzz0MGjSIWbNm8euvvxISEkJ8fDweHh7UrVuXdu3aMXDgQIYPH+50fZ/yxGw28+mnnzJy5Eg+//xzNm/eTHR0NF5eXjRr1oxbbrmFxx9/vMApVFWrVmXDhg189tlnzJ8/n0OHDmEymew+7gqzE5OPjw/z5s3j0UcfZfbs2WzatImIiAhSU1OpUqUKQUFBdO3alcGDB3PbbbeV5NsgIiIVVFxqFqfOpXAy1hqCnD6XxqlzqYSeT3W4+KkJC3WIp/3F4MNsv/NLXVPBC+yXCN+al6z5EfR3GOLfsHR3fZErgsm4kveNLEURERG2f8CHh4fTsGHDQp137NgxcnJycHd3p0WLFq4sUURExOX0fU1EpHzKyM7l1LlU258TsSm21wlp+afA+JNy4YmPWBqbom3Bx8WpL16mHNcW7OHrYNHTPK+9XPvLSCnfivvzd0EUp4mIiIiIiFwBDMMgOimTk7EpnIhN4USsNQQ5GZtKZIL9YqWeZNPQFEsnUyyN3Oyf/GhkiiHA5VNfzNapL3ZrfgT9HYD41dLUFylVCkdEREREREQqkKwcC6fPp3I8JoUTMX8HISdjU2zTYExYqE0CjUwx9DTF0MgtlsZm65MfjU0x1CEes8nFkwh8a+Sf8nLx/wMaglv+hfFFyorCERERERERkXIoJTOHEzEpHI9J4Xhsii0MCY1LI9diUJW0C1NdYuhliuFuUyyNPS7u/HIOL5OzHWNKiLuP4zU/Lj4N4lXVteOLlCCFIyIiIiIiIkVhsUBOujUcKGCx+cJKzsjmWEwKx6NTOBqdzLGYFI5FJxObmEID21SXWLqaYrjTFENjd+v/B5pSS+BmCmAyg3+DS3Z8yROAVKmtqS9yxVA4IiIiIiIiUhhng2HbpxDyE2SnWRcNbXsH9H4Y6na47OkpmTkci07mWHQKR6KTOR6dRFx0OJ7J4bYApLU5hhsvLHxazyvO9VNffKo72PI2z64v7p6uHV+knFA4IiIiIiIicjnBS2DZFLDk2aUlOw32fQfBi2Ho59BhOGDdGeZEbArHolM4FRlFYuQxss6fwjc1wrbwaZcLAYi3KRu8XFi3u/cli55esuuLt78LBxepOBSOiIiIiIiIFORscP5gJC9LDpYfHuC339eTkJqGf3okDU2xDDDFcKcp5e9+Lll/1PT31BdHAYhf7RKZ+iNypVM4IiIiIiIiUpBtnzoPRi4wY2Fw/DfW/3Er4fF9qhWw60sjTX0RKQEKR0RERERERC6wWAxC49I4FJXEqbAwTKe3MDl2kUt/cLK4eUFgY8zVghzv+uId4MLRRQQUjoiIiIiISCWVnpXL4bNJHDyTREhUEqcjogiI2UlXI5g+5hBuNoWVyIKoBibSvetgVGuCd61muFVvaheAmKvU0dQXkTKmcERERERERK54calZhJxJ4uCZREKirIFIdGwsXU1H6GUO4R5zCO1Np3BzK34YYsFERJ3r8ap9FQH1W+BdqykEBmEKbISvuytXXRWRf0rhiIiIiIiIXDEMwyAmOZMDkYkciEziwJlEDkQmEpWYgTeZdDUfpbc5hLHmEDp5nsDdZCmxsc2dRtF46MwSu56IlB6FIyIiIiIiUiEZhkFkQjoHIq1PhByITCQ4MolzKZkAeJFFZ/NxRppD6OUZQmfTMTxNuUUaI9vsRVJAa6onBGMyCghSzO7Q+6F/cjsiUoYUjoiIiIiISLlnGAZnkzIIjkgkODKR/Rf+G5eaZevjQQ4dTScY6RZCb3MIXc1H8TZlF2kci9mTnAbd8Gw+EIL649GgKzXcPSF4ifPtfM3uMPRzqNvhn96miJQRhSMiIiIiIlLuxCZnsj8iwRaC7I9ItD0RcpEbuVxtOkVvcwi9zQfpZj6KrynTyRUdM8wemBp2g6D+0LQ/5oY98PTwzt+xw3Co1Qq2zYCQHyE7DTx8oe2d1idGFIyIVGgKR0REREREpEylZOYQHJHIvogE9kcksC88kciE9Hz9zFhoYwq9EIaE0MN8mKqm/P0KZHKD+p2haX9oeg2mRj3B069w59btAENnwh2fQk46uPtolxmRK4TCERERERERKTXZuRaOnE3mr/AE9ocnsC8igWMxKRgONokxYaGVKYLe5oP0NofQ03yIAFNaEUc0Qb1O1jAk6Bpo3Au8/f/ZTZjNhQ9URKRCUDgiIiIiIiIuE5WYzl9hCewNT+CvsHiCIxPJyHa2sKnBVaYztmkyvcyHqGFKLvqgddpD02usU2Wa9AGfwH9yCyJSCSgcERERERGREpGRncv+iET2hMXzV1g8e8MTiE4qaA0QgyDTWds0mV7mQ9Q2JRR94FqtbWuG0KQf+NUo7i2ISCWlcETEgblz5zJhwgQATp06RVBQkN3xa6+9lo0bNzJgwAA2bNhQ+gVKibjc37NUHK+++iqvvfYaYN3NwBX0eS8iYs8wDM4kZrA7NJ49odYw5OCZJHIsBX8dbmiKvfBUiDUQqW+KK/rg1a+yrRlCUH+oUruYdyEiYqVwRERERERELisrx8LBM4nWMCQsnt2h8Zd5KsSqLudtT4b0NofQyBxb9MEDm/y9ZkjT/uBfvxh3ICLinMIRESmWDRs2MHDgQADWr1/PtddeW7YFXVBe6xIREaloEtOz2RMaz67QOHaejmdfeAKZOc7WCvlbLRJsT4X0Nh+kqTm66IP7N/h7mkxQf6jWpBh3ICJSeApHRIpBj9RfGcaPH8/48ePLugwREZEyZxgGEfHp7AqNY9fpeHadjudoTLLDHWQuVY0kepkP2Z4MaWGOLHoBVerYhyHVm4HJVPTriIgUk8IREREREZFKxjAMjsek8OepOHaejmPnqTjOJGYU6lx/UuhpPmwLQ9qYw4pegG8NCOp3IRAZADVbKAwRkTKlcERERERE5AqXk2vh4Jkkdp6O489Tcew6HUd8Wnahzq1CGt3NR2zTZNqZQzFTxMWvvQPzhCH9oVYbMJuLfiMiIi6ir0jinMUCWanW/15h4uPjee6552jdujU+Pj7Url2bG264gcWLFxfq/GuvvRaTyeR0PYvc3Fzmzp3LTTfdRN26dfH09CQwMJAWLVpw/fXX8+abbxISElLgGL/88gv33XcfzZo1w8/Pj4CAANq1a8fIkSP54YcfSE9Pt+s/d+5cTCYTJpOJ06dPk5mZyYcffkivXr2oWbMmJpOJV199Nd84O3bs4IEHHqBly5ZUqVIFPz8/WrduzcMPP8yxY8fy9T99+jQmk8m2rgfAwIEDbWNf/DN37lyH91XU8QqrOHVd+p5d6tK/5+PHj/Pggw/SrFkzfHx8CAoK4v777yc0NNTuvAMHDjBhwgSaNWuGt7c3jRo1YurUqcTExBTqXtasWcN9991H06ZN8fHxwd/fn06dOvHMM88QFRVV5Pcmr/Hjx2MymWw785w9e5annnqKli1b4uvrS4MGDRgxYgQHDx60O+/06dM8+uijtGzZEh8fH+rUqcPo0aM5ceLEZcfMyspixowZDBw4kFq1auHp6UndunW55ZZb+Oabb7AU4mtMREQEDz/8sO09rV+/Prfffjtr164t0v2npaXx4YcfMnDgQOrUqYOnpye1a9dm0KBBzJkzh9zc3CJdT0SkvMrOtbAnLJ4ZG44z7qsddHptNXd8+gf/WXmINSHRBQYjPmTQ37yfZ9wX8qPXy+zznswcz3eZ7L6SDubThQtGPKtCi5tg0H9g8kZ45iSM/BZ6PQh12ikYEZFyR0+OSH5ng2HbpxDyE2SngYcvtL0Dej8MdTuUdXX/WEhICDfccIPdD5kZGRmsW7eOdevWMXHiRPr371/s66ekpHDLLbewefNmu/bExEQSExM5fvw4v//+O3v27GHJkiX5zj9//jz33HMP69atc1h7SEgI33//PXPmzHG6Xsa5c+cYOnQoe/fudVpnTk4Ojz76KDNnzsx37MiRIxw5coQvvviCTz/9lAceeKDgmy6E0h6vpK1du5Zhw4aRnJxsawsNDeWrr77i559/ZuPGjbRu3ZrvvvuOCRMmkJn59+r9ERERfPbZZ6xatYqtW7dSv77jFfZTU1MZM2YMy5Yts2vPyMhg//797N+/n5kzZ/Ldd99x2223/eN72rdvHzfffDNnz561taWnp7N48WJWrlzJb7/9Rr9+/fj9998ZNmwYiYmJdjUtWLCAVatWsXnzZtq1a+dwjNDQUAYPHsyhQ4fs2qOjo1m1ahWrVq3i888/56effqJ69eoOr7Fx40Zuv/12kpKSbG1RUVGsWLGCFStW2LbwvZydO3cydOhQIiPt58LHxsayZs0a1qxZw2effcby5cupU6dOoa4pIlJeZOVYCI5MYPvJOLafPM/u0HjSsgoX+HqRRRfzMXqbD9Lf/RAdOIE7OUUrwMMXGvf+e0eZep3ATT9qiEjFoa9YYi94CSybApY83xCz02DfdxC8GIZ+Dh2Gl119/1BiYiI33XSTLRi55557GDduHLVr1+bo0aN88MEHfPXVVwQHBxd7jFdffdUWjNx2222MHj2axo0b4+3tTWxsLPv27ePnn3/G5GBebVpaGgMHDrSN37VrVyZPnkz79u3x8vIiPDycTZs28f333xdYw/33309wcDBjx47lnnvuoW7duoSFheHl5WXXZ/78+QAMHjyY0aNH07JlS0wmE3v37uXDDz/k4MGDTJ48mbp16zJkyBAAGjRoQHBwMDt37mTixIkAfPXVV3Tv3t2uhoYNG+arqTjjFVZx6yqMM2fOMGLECAIDA3nzzTfp0aMHWVlZ/PDDD3z00UfExMQwadIk/ve//zF27FhatGjBtGnT6NixI6mpqXz11Vd8/fXXhIaG8uSTT7Jw4cJ8Y+Tm5jJkyBDWr1+PyWRi5MiRDBs2jKZNm5Kdnc2OHTt4//33CQsL46677mLr1q107dq1yPdyUVpaGkOHDiUrK4s333yTAQMG4Obmxq+//sqbb75JWloaY8aMYc2aNQwdOhR/f3/+/e9/07NnT3Jycvjhhx/48MMPiY+P5/7772f79u35xkhJSeG6667j5MmTANx5551MnDiR+vXrc+rUKaZPn87GjRvZsmULt912G5s3b8bNzc3uGqdPn2bIkCEkJydjNpuZPHkyw4cPJyAggP379/P222/zyiuv0K1btwLvNzg4mIEDB5Kamkrt2rWZOnUq/fv3p0aNGsTExLB8+XI+//xzduzYwR133MHmzZvx8PAo9vsrIuJqObkWgiMT2XriPNtPnmfX6XjSswsXhniQw9Wm4/Q2hzDA8zAdOYKHUbgpNjbu3tCox99b69bvAu6exbgTEZFywpASER4ebgAGYISHhxf6vKNHjxohISHG0aNHC+6Ym2sYKbGu/XNyk2G8Vt0wXvF3/ue16tZ+rq4lN/cf/o049uSTT9r+nt588818x7OysoxBgwbZ+gDGqVOn8vUbMGCAARgDBgzId6xRo0YGYAwfPrzAWs6fP5+v7fHHH7eN+/DDDxsWi8XhuZmZmcbZs2ft2ubMmWNX9+zZs52OvWTJElu/L774wmGf9PR047rrrjMAIygoyMjOzrY7vn79ets11q9fX+C9lsR4hVWUuvK+ZwX9PQNGixYtjJiYmHx9nn76aVufWrVqGX379jVSU1Pz9bv77rsNwHB3d3d4nffee88ADA8PD+OXX35xWG9cXJzRrl07AzD69etX4L05M27cOFu9NWvWNI4fP56vz6effmp3T4W59z179uQ7/tRTT9mOv/jii/mOWywWY/To0bY+M2bMyNdn2LBhtuMLFizIdzwpKcno1KmT3ce+o3E6duxoAEanTp2M2NhYh+/NqlWrDLPZbADGl19+me94QZ/38rdCf18TkSLJzbUYByITjC82nTAmzNlhtHv5V6PJsz8X6s9Vz/5oDH3uA+OdFyYZO//d38h8tVbB/95z+G/AGobx1WDD+P1Nwzi12TCy0sv6LRGRSqy4P38XRE+OVBTpcfDuVWVdhfWJknn//HH+y3r6BPjVLNFLZmZmMmfOHAA6duzIs88+m6+Ph4cHs2fPplmzZmRnF/E3KBdcnKJwuak5l04hiI+PZ9asWQB06dKFjz76yOHTJQCenp4FPvZ/3XXX2Z6ecOStt94CYOjQoUyaNMlhH29vb6ZPn07btm05ffo0GzZs4IYbbijwnsrLeK7w8ccfU6tWrXztDz30EO+++y5gnc60ceNGfH198/WbOnUqixcvJicnh23btnH77bfbjmVnZ/P+++8D8MgjjzB48GCHNVSrVo13332XW265hS1btnD8+HGaN29e7Ht6/fXXueqq/F9XJkyYwLRp08jIyCA2Npavv/7a4b1PnTrVdu+bN2+mc+fOtmOZmZl8+eWXALRt29bhejcmk4kZM2bw66+/cv78eaZPn87UqVNtx6Oiovjpp58A61NYo0aNyneNqlWrMmvWLHr27On0PleuXMn+/fsBmD9/PjVrOv7acvPNNzN8+HAWLVrEnDlzuP/++51eU0TE1QzD4OS5VP44fo6tx8+z/dR5Egq5gKoZC+1Mp+ltPsgNPkfpZAnBy3JhrbLCLq1kdrc+DXJxa91GPcEz//c3EZErhcIRqTR2795NfHw8AOPGjcPsZCGwhg0bMmjQIFauXFmscerVq0dYWBjff/89kyZNcviDsiPr168nLS0NgEcffTTf9IKiGD16tNNjkZGR7N69G4ARI0YUeJ02bdpQs2ZNzp07x7Zt24oVVpT2eK4QGBjITTfd5PBYUFAQ/v7+JCUl0bFjR9q0aeOwX6dOnWyvL04zuWjHjh22qV6Xe4+uueYa2+tt27YVOxwxmUxOx/Lx8aFFixYEBwdTrVo1Bg0a5LBf06ZNqVq1KsnJyfnuaffu3SQkJADWRWCdfTz7+/szYsQIZs6cSUhICFFRUdSrVw+wfk5cXCB1woQJTu+lR48etGvXLt8ishddDFhatWpFx44dnV4HrO/vokWL2LlzJ7m5uf/o81BEpKhikjPYevw8W46f44/j54gq5Na6Jiy0NoXTx3yQG32O0skIwSc3xXqwsEuHmMxQ7+q/1wxp3Au8qhTrPkREKiKFI1Jp5F1H5NJ1KC7Vo0ePYocj48aN4/XXX2fr1q00bdqUu+++m+uvv55+/fo5/O37RX/99Zftdd4fgIujoB8Ad+3aZXs9atQoh7+NdyTvop1FURLjxcTEON3pxc/Pj6ZNmxartsJq0aKF06d4AAICAkhKSqJly5ZO+wQGBtpe513UFezfo969exe6ruL+nQDUrFnT6QKo8He9zZs3L/DeAwMDSU5OzndPBw4csL0u6KmOi8cvLtR74MABWzhS1M9ZZ+HIxff3yJEjBd5LXllZWcTFxRX4OSsi8k+lZOaw49R5thw7zx/Hz3EkOvnyJwFg0MIUSe8LYUgXIwS/3AuLZhd6HVUT1G3/95ohTfqAd0Ax7kJE5MqgcEQqjYtPjQDUrl27wL7/ZKeKl156icjISObMmUNMTAyffvopn376KSaTiXbt2jFs2DAeeuihfGOcO3fO9vriD4fFVa1aNafHCrud7KUuPtVSVCUx3owZM5zuSDJgwAA2bNhQrDEK63JP/1x8CqmgfnmfVLp0u9jS/juBkrmnvP0uvae4uDjb68t9PtWtW9fheSX1OVsW76+IiCO5FoODZxLZdDSWTcfOsSc0nhxLIbbFxaCZKYre5hCu9z5Cd1MIVXMufI0syqYytdpYg5Cm10CTvuDrPCQXEalsFI5UFD7VretwuNIvT8HBZZfv124Y3PKua2vxKflv1obx9z8+Lvfb47x9i+riuiXTpk3ju+++4/fff2fXrl1kZWVx4MABDhw4wAcffMA333zDHXfcUexxClLQVIC8P8R+++23l51mcFFBgUtBSnu8iijve7RhwwZq1KhRqPMuFxiUF8X9fCupz9mL72/fvn357LPPCrxOXs62XBYRKYqoxHQ2Hz3HpmOx/HH8HPGFWjfEoJEpht7mEAZ6HaGPOYSAnAu/RCnsmiEANVr8vWZIUH+ooqfhREScUThSUZjNJb5AaT79p8GhFfbb+Oarwx36P+n6Wlwg7xSC6OjoAqdAFPc3zXm1bduW119/nddff5309HT++OMPFixYwPz580lJSWHUqFGcOHHC9pRI3kUio6KiXDZVJO8P3iaTifbt27tknJIc79VXX3W4oOeVIu975Onp6fK/k9KQ9/Pt7NmzBX6+RUdHOzzv0s/ZRo0aOb1GQZ+zNWrUIDo6mtjY2CvivRWR8i0jO5c/T8Wx8Ugsm4/FciwmpVDn1eccvc0h9Pc4RH/3Q9TIvfB1zXLhT2FUC7KGIE0HQFA/8P9nT6KKiFQmCkfkb3U7wNDPYdkUxwGJ2d16vG6H0q+tBHTo8HfdO3fuLHA3mZ07d5bo2D4+Ptxwww3ccMMNdOjQgSeffJL09HR+/vlnHnjgAcC6Q81FmzZtclk4kndHkdWrVxd6DZBLFXbthpIar7AKW1d5cul7VJR1R8qrvCHEn3/+WeA6Ojt27HB43qWfswWFIwV9znbu3JmQkBCOHj1KaGgoTZo0uWz9IiJFcepcKhuPxLDhaCzbT54nI/vyaUYt4ultDqGvewgDPA5TNzfq74OFfTokoNGFMOTCkyGBzr9OiohIwRxv1yGVV4fhMHkDdLoXPC6sNeDha/3/yRusxyuorl272qZqfP31104fw4+MjGT16tUuq+P666+3vc67zsjAgQPx8/MD4JNPPsm3hkNJad68OW3btgVg4cKFhIWFFes63t7etteZmZkuH6+k6ypP+vXrZ3tK4rPPPiMpKamMK/rnunbtalvUdd68eU4/npOTk1m0aBFgfdoq73o7AwcOtE0RmzdvntOxdu3aZbcA7KXybpv83//+t9D3ICLiTHpWLr8fjuaVnw4w4N31DHxvA6+uCGHDkVinwUgNErnVvJ3/uM9mk+/T7PR+mI89P+Ue83r7YKQgVepCh7vh9k/g0b3weDAMnQlX36tgRETkH1I4IvnV7WD9Rvt8JLxwxvrfoTMr7BMjF3l5edm2A927dy/vvpt/3ZScnBweeOABsrKyijVGXFwcy5cvL3D9g7zBS96nQwIDA5kyZQpg3Qb18ccfd3qd7OzsfzT158UXXwQgIyODYcOGERsb67RvZmYmM2bMICPDfjvBvD/EnjhR8Ho4JTFeYRWlrvLC29ubp556CrBOQRk5ciSpqalO+ycnJzN9+vTSKq9YvLy8mDRpEgAHDx50uKCuYRg88sgjtpDwkUcesTter14927o8y5cvt4UoeaWkpDB58uQCa7nrrrtsWyzPnDmT2bNnF9j/wIEDrFixosA+IlL5hMelMW/racZ+tYNO/17NxLm7mLctlNDzjhdvDiCFm8w7ecV9Hmu8n2W391Q+9fyY+9zX0dgSWbhBfWtCu6Fw6wfwyC6Ydhju+hK6jIXqTaECPi0pIlJeaVqNOGc2g6dfWVdRol5++WUWLVpEREQEzz77LHv37mXs2LHUrl2bo0eP8sEHH7Bz5066d+9erKk1SUlJ3HHHHQQFBTFs2DB69uxJkyZNcHd3JyoqihUrVvDll18C0LBhQ4YMGWJ3/uuvv86aNWsIDg5m+vTpbNu2jSlTptChQwc8PT2JiIhgy5YtLFiwgP/85z+MHz++WO/DqFGj+O2335g3bx67d++mbdu2TJkyhQEDBlCrVi1SU1M5ceIEmzdvZunSpcTFxTF27Fi7azRu3JiGDRsSERHBe++9R4MGDWjVqhXu7tYvK3Xq1KFq1aolNl5hFaWu8uSZZ55h3bp1rFu3jlWrVtG2bVsefPBBevfubdsu98iRI2zYsIEff/wRb2/vfGFCefPyyy+zdOlSTp48yeuvv86BAweYOHEi9evX59SpU0yfPt2201Dv3r0dhhzvv/8+a9asITk5mXvvvZeNGzcyfPhw/P392b9/P2+//TZHjx6lW7dudlsi5+Xm5sb3339Pnz59SElJYdKkSSxevJh7772XVq1a4eHhQUxMDH/99Rc///wzW7duZdq0afk+P0WkcsnOtbDrdDzrj8Tw++EYjl9m7ZCqpNHDfIje5hB6m0NoYw7DTBEXePepZt1Fpuk11j+1WisAEREpJQpHpFIJCAjg119/5YYbbuDs2bN89913fPfdd3Z9JkyYwDXXXGN7yqQ4Tp8+zQcffOD0eIMGDVi+fLltGs1Fvr6+/P7779x1111s2rSJ3bt3X/a34sU1e/Zs6tSpw/vvv8+5c+d44403eOONNxz29fPzc7gDzgsvvMBDDz3EqVOnuPPOO+2OzZkzxy68KYnxCqsodZUXbm5urFixggcffJD58+cTFhbGCy+84LR/RdippmrVqqxbt47Bgwdz+PBhli1bxrJl+XfE6tu3L8uXL3f4dx4UFMTy5cu5/fbbSU5OZsaMGcyYMcOuzyuvvALgNBwB6/olf/zxB8OHD+fYsWP89ttv/Pbbb077+/v7F/Y2ReQKcj4lkw1HYvn9SAybjsaSnOF8kXpfMuhuPkJvcwi9zAfpYD6NW6FXTr3Ay/9CGHJhzZA67a2/nBIRkVKncEQqnXbt2nHw4EHeeecdli1bRlhYGFWrVqVDhw488MADjBo1irlz5xbr2k2aNGHv3r2sWbOG33//nZMnTxIdHU1KSgqBgYG0a9eOIUOGMHnyZKdPL9SsWZONGzeybNkyFixYwPbt24mNjcXX15cGDRrQqVMnRowYwc033/wP3gXrD+PvvPMO999/P7NmzeL333/n9OnTJCUl4evrS+PGjbn66qsZNGgQQ4cOxcfHJ981pk6dSp06dfj888/Zu3cvcXFx5OQ4/odkSYxXWEWpqzzx8fFh3rx5PProo8yePZtNmzYRERFBamoqVapUISgoiK5duzJ48GBuu+22si63UIKCgti3bx9ffPEFixcv5sCBAyQlJVG9enU6d+7M6NGjuffeezEX8MPAtddey8GDB3nrrbf45ZdfiIqKolq1anTr1o1//etf3HTTTYXazahjx46EhISwYMECli1bxu7du4mNjcVisVCjRg1atWpFv379GDp0qN0CySJy5TIMgxOxqaw9FM3akGj2hMVjcfKwhxdZdDUfpbc5hD7mg3Q0ncTDVMT1wTz8oEnvvxdRrdsJ3PTPcRGR8sBkFLQ4ghRaRESEbSeF8PBwGjZsWKjzjh07Rk5ODu7u7rRo0cKVJYqIiLicvq9JeZeTa2FXaDzrDkWz9lAMp845XuPJk2w6m47T2+0gvc0hXG06jpepiEG7uw807nkhDLkG6ncGN48SuAsRkcqtuD9/F0RRtYiIiIhc0VIzc9h4NJY1IdH8fjiGxPTsfH3cyaGj6SR9zNYwpKv5KN6m/P0K5OYJDXv8PU2mYTdw9yqhuxAREVdSOCIiIiIiV5xzKZmsOxTN6oPRbD5+jqwc+/VA3MilvemUbQHVbuYj+JmKuAW82R0adPs7DGnUAzyKPy1URETKjsIREREREbkihJ1PY3XIWVYfjGZXaJzd+iEmLLQ1hdHLfJA+5hC6mw/jb0ov2gAms3VqzMU1Qxr1Aq8qJXsTIiJSJhSOiIiIiEiFZBgGR6KTWRV8lt8OnuXw2WTbMRMWWpkibE+G9DQfItDkeH0R50xQt8PfW+s27g3e2s1KRORKpHBERERERCoMwzAIjkxk1YGz/HrgbJ4FVQ2uMp25EIYcpJf5EDVMyQVey6Ha7f6eJtOkD/hWL9H6RUSkfFI4IiIiIiLlmsVi8Fd4PKuCz7LqwFkiE9IBgyamaEa6hdieDqltSij6xWu2tD4VEtQfgvqBX82SLl9ERCoAhSMiIiIiUu5YLAa7QuNZuf8Mvx48S3RSJg2IpbdbCL09rE+H1DfFFf3C1Zv9vbVuUD+oWrfkixcRkQpH4YiIiIiIuJ7FAjnp4O4DZrOTLgZ7wuL5eX8Uqw5EQVIUvc0hPGkOobfnQRqbY4s+bkDjC2uGXHgyJKDhP7wRERG5EikcERERERHXORsM2z6FkJ8gOw08fKHtHdD7Yajb4cKUmQRW7o9i+/5DNEv9iz7mg4w1h9DM+2zRx6ta/+81Q5r2h2pBJX5LIiJy5VE4IiIiIiKuEbwElk0BS87fbdlpsO87jP2L+aXxNP6ItNAqYy8jzSG8bI4EzyKO4Vfr72kyTa+xTpsxmUr0NkRE5MqncERERERESt7Z4PzBSB4mI4dbQ9/hVijav0h9qlunx1xcRLVWK4UhIiLyjykcEREREZGSt+1Tp8FIkXgFQFDfv58Oqd3W6ZolIiIixaVwpIy5ubmRk5NDTk4Oubm5uLm5lXVJIiIixWKxWMjNzQXQ97NK7lxyOoHBy4r1D02Lhx9mWxjSH+p2BLM+nkRExLUUjpQxX19fMjMzAUhISKBGjRplXJGIiEjxpKSkYBgGAD4+PmVcjZS29KxcVoecZeXukzQ79S3PuWcU+tzU+n3xbX09pmYDMNe7Gtz0T1QRESld+s5TxgIDA4mPjwcgJiaG3Nxc/P398fLywqT5syIiUgFYLBZSUlI4e/bvnUWqVq1ahhVJacm1GGw9cY5lf0Wy8UAod+au5j/uP1PbPaHwF/HwxW/Sz5oqIyIiZUrhSBnz9vYmICCAxMREAM6fP8/58+cxmUx6JFlERCqE3Nxc2xMjYH1qxM/PrwwrElcyDIODZ5L48a9Ilu87Q3JyIve5reVX95+p5ZFU9Au2vVPBiIiIlDmFI+VAvXr18PT0JDY21tZmGAY5OSWwiJmIiEgp8vHxoXHjxnr68QoUk5TBj3sj+WF3JEeik/ElgzFua3jAayU1TcUIRQDM7tD7oZItVEREpBgUjpQDJpOJmjVr4u/vT0pKCqmpqWRlZWGxWMq6NBERkctyc3PDx8eHqlWr4ufnp2DkCpKRncvaQ9Es2R3BpqOxWAzwI52pbmuY5L6SGqZkp+fmBF2Le5NesPk9x7vWmN1h6OdQt4ML70BERKRwFI6UI56enlSvXp3q1auXdSkiIiJSSRmGwZ6wBH7YE8HP+86QlGENNqqQxji31Uxy/4VqphTnF2h+Awx4FvdGPaz/3+Y22DYDQn6E7DTw8LVOpen9kIIREREpNxSOiIiIiAjRSRks2R3BD7sjOHku1dZelTTGu/3K/e6rCDSlOr9Ai0Ew4Flo2M2+vW4HGDoT7vgUctLB3UdrjIiISLmjcERERESkksrKsfD74RgW7Qpnw5EYLH+vq4s/qUxw+5WJ7qsIMKU5v0jLm2HAM9Cga8GDmc3gqYV6RUSkfFI4IiIiIlLJHItO5vud4Sz7K5LzqVl2x/xJ4X73X5ng9iv+BYUirW6xhiL1O7u4WhEREddTOCIiIiJSCSRnZPPz/ii+3xnO3vCEfMcDSeZ+91WMd/uNqqZ05xdqfZs1FKnXyXXFioiIlDKFIyIiIiJXKMMw2B+RyHc7wli+7wxpWbn5+lQjiUnuvzDObTVVTBnOL9bmdmsookVURUTkCqRwREREROQKk5SRzU9/RbJgRziHopIc9qlOEg+4r2Ss22r8TJlOrmSCtndYQ5E67VxXsIiISBlTOCIiIiJyBbi4Be/CHWGs2H+GjGyLw341SOQB95WMc1+DDwWEIu2HwTVPQ+02ritaRESknFA4IiIiIlKBJWVks2xPJAv+DONIdLLTfrVIYIrHz4xxX4eX4SQUMZmh/V3WUKRWKxdVLCIiUv4oHBERERGpgA6eSeSb7aH8tNfxWiIX1SKep/x+5S5jNe6WTDAcdDKZocPd1lCkZgvXFS0iIlJOKRwRERERqSAysnNZuT+Kb/4M5a+whAL71jfH859a6xiQshK3XGdPirhBx3ug/zSo2bzkCxYREakgFI6IiIiIlHOnz6WyYEcYi3aFk5CWXWDfroFpvFJjDR3O/ogpsYBQpNMo6P8k1LjKBRWLiIhULApHRERERMohi8Vgw9EY5m4NZdPR2AL7uplNjGhh4l+ey6l3cgmmyCzHHc3uF0KRaVC9qQuqFhERqZgUjoiIiIiUI4np2SzeFc7X20MJPZ9WYN86/l5M7ujBqMwl+B78DixOnioxu8PVo62hSLUmLqhaRESkYlM4IiIiIlIOHI1OZt7W0yzdE0l6tvMFVgH6Na/JAx3M9D/7NeY9CwoIRTygyxjo9wQENnZB1SIiIlcGhSMiIiIiZSTXYrD2UDTztp5m64nzBfYN8PHg7q4NGdvaoPHBmfDbd2DJcdzZzRO6jLWGIgENXVC5iIjIlUXhiIiIiEgpS8rIZtHOcOZuPU1EfHqBfdvU82d8nybc0SgT7+3/g28XguHkyRI3L+g6Dvo+DgENSr5wERGRK5TCEREREZFSEno+lTl/nGbxrnBSs5xPnXEzm7i5XV3G9Qmie9U4TJvfhF8WOQ9F3L2h6wTo+xj413NR9SIiIlcuhSMiIiIiLmQYBttPxvHVH6dYeygaw3Det4afJ6N6NGZ0r8bUywqHzc9B8GIwLI5PcPeBbhOh76NQta5rbkBERKQSUDgiIiIi4gKZObn8vC+K2VtOERKVVGDfjg0DGNc7iFs71sM74TiseQQO/AA4SVLcfaD7/dDnUahap+SLFxERqWQUjoiIiIiUoMS0bL75M5S5W08Tm5zptJ/ZBIPb12NivyC6NK6GKfYw/PgSHFyG01DEwxe6T7KGIlVqueYGREREKiGFIyIiIiIlIDwujdlbTrFoVzhpBawnUtXbnVE9GjO2dxMaVvOF6IOw+AkI+QnnoYgf9HgA+vwL/Gq65gZEREQqMYUjIiIiIv/A/ogEZm06yS/BUVgKWE8kqIYvE/o25a6uDani5Q5ng+H7d+DQCucneVaFnpOh18PgV6PkixcRERFA4YiIiIhIkVksBhuOxjBr00m2n4wrsG+vZtW5v18zrmtdGzezCaL2wcb/wuGfnZ/k5Q89p0Cvh8C3eglXLyIiIpdSOCIiIiJSSNm5FpbvPcNnG09wLCbFaT83s4lbO9Rj8jXNaN8gwNp45i9rKHLkF+cDeAVArweh11TwqVbC1YuIiIgzCkdERERELiM9K5fvd4bxxeZTRCakO+3n5+nGyB6NmdA3yLqeCEDkbmsocvRX5wN4B1ifEun5IPgElmzxIiIiclkKR0REREScSEzLZv6208zZepq41Cyn/WpX9WJ83yBG92hCgK+HtTFiF2x4G46vcT6AdyD0fsS6roh3QMkWLyIiIoWmcERERETkEtFJGXy5+SQL/gwjtYCdZ1rUrsID1zTjjqvr4+XuZm0M32ENRU6scz6ATzVrKNJjMnj7l3D1IiIiUlQKR0REREQuCD2fyswNJ1i6J5KsXIvTfl2bVOOha69iYKvamM0ma2PYdmsocnK98wF8qlu34+3xAHhVLeHqRUREpLgUjoiIiEildzwmmU/Xn+CnvZEFbsc7sFUtpl7bnB5N8+wgc/oP2Pg2nNrk/ETfmtD3Ueh2P3hVKbnCRUREpESUWjgSFhbGxx9/zMqVKwkLC8PLy4vmzZszYsQIHnroIXx9ff/xGCEhIcycOZMNGzYQGhpKRkYGAQEBtG/fnttvv51JkyZRtap+SyMiIiJWh6KSmP77cX45EIXhJBQxm+C2jvV5cMBVtK2fZwrMqc2w8R04vdn5AH61oO9j0G0iePqVbPEiIiJSYkyG4eyfAiVn5cqVjB49msTERIfHW7VqxS+//EKzZs2KPcb777/Pc889R05OjtM+TZo0Yfny5XTs2LHY4zgTERFBo0aNAAgPD6dhw4YlPoaIiIiUjH3hCXzy+3HWHop22sfT3czdXRsy5ZqraFzjwi9xDMP6hMjGdyD0D+cDVKljDUW6TgDPf/4LIBEREfmbK37+dvmTI/v27WPEiBGkpaVRpUoVnn/+eQYOHEh6ejoLFy7kiy++4MiRI9x6663s3LmTKlWK/qjpokWLeOqppwDw9PTk4Ycf5oYbbqBmzZqcOHGCGTNmsGXLFkJDQ7n55ps5dOgQAQFaEV5ERKSy2XU6jo9/P86mo7FO+/h6ujGmVxPu79+U2lW9rY2GASc3WEORsG3OB6hSF/o9Dl3Hg4dPSZYuIiIiLuTycOTxxx8nLS0Nd3d3Vq9eTe/evW3HrrvuOlq0aMEzzzzD4cOH+eCDD3j55ZeLPMbrr79ue7106VJuvfVW2//36NGDUaNGcdddd7F06VKioqKYPXs2Tz755D+7MREREakwdp2O439rj/LH8fNO+1T1cmd83yAm9m1KNT9Pa6NhWHed2fhfCP/T+QBV60O/J6DLWPDwLuHqRURExNVcOq1m586d9OjRA4ApU6bw2Wef5etjsVho3749hw4dolq1akRHR+Ph4VHoMZKSkmxPgXTp0oXdu3c77Ld//346deoEwF133cWSJUuKejsF0rQaERGR8md3aBwfrj3G5mPnnPYJ9PXg/r5NGdsniACfC/8GMQw4vta6+0zkLucD+DewhiKdxygUERERKSUVblrNjz/+aHs9YcIEh33MZjNjx47l+eefJz4+ng0bNnDjjTcWeoysrCzb64LWLLnqqqtsrzMzMwt9fREREal49oTF8781RwsMRWpW8eSB/s24r1cT/Lwu/JPIMODYauv0mUjHv3ABIKDRhVDkPnD3KuHqRUREpLS5NBzZvNm6erufnx9du3Z12m/AgAG211u2bClSOFKzZk2qV69OXFwcJ0+edNrvxIkTttctW7Ys9PVFRESk4vgrLJ4P1x5jYwFritSu6sWDA65iVI/G+Hi6WRsNA47+ag1FzvzlfIDAxtB/GnS6F9w9S7h6ERERKSsuDUcOHToEQPPmzXF3dz5U69at851TFJMnT+btt99mz549rFq1isGDB+frc3FdEjc3NyZNmlTkMURERKT82h+RwAdrjrLhiPNQpFZVLx661hqKeHvkCUUOr7SGImf3Ox8gsAlc8xR0GgVuhZ/+KyIiIhWDy8KRjIwMzp2zPsp6ufk/1apVw8/Pj9TUVMLDw4s81v/93/+xa9cu1q5dy9ChQ3nkkUe4/vrrqVmzJidPnmTmzJls3LgRNzc3Pv74Y9q0aVPkMSIiIgo8HhUVVeRrioiIyD9zNDqZ91cf4beDzrfkrVnFi6nXXsXonnlCEYsFDv9sXWg1Otj5ANWaWkORjvcoFBEREbmCuSwcSU5Otr0uzPa8F8ORlJSUIo9VpUoVVq1axdy5c3n77bd5//33ef/99+36DBs2jGeeeYaePXsW+fqAbbEXERERKXunz6Xy4dqj/LTvDM6Wlq9ZxYsHBzRjdM8mf0+fsVjg0HJrKBJz0PkA1a+Ca56GDneDm8s39xMREZEy5tInRy7y9Lz8nFwvL+tiZunp6cUab9euXXz33XdO1x1Zu3YtderUoU2bNvj7+xdrDBERESlbUYnpfLzuOIt2hZNrcZyK1PDz5MEBV3Ffr7yhSC6E/Agb34XYAqbw1mgO1zwD7e9SKCIiIlKJuOy7vrf339vZ5d1RxpmLO8j4+PgUeawlS5Zw3333kZmZSceOHXnttde45pprqFq1KuHh4Xz//fe8/vrrzJw5k02bNrF27Vrq1q1bpDEuN90nKirKtm2xiIiIlKxzKZnMWH+Cb/4MJSvH4rBPoK8HDw64irG9m+DreeGfOJZcOLjM+qTIuSPOB6jZ8kIoMgzMbi64AxERESnPXBaOVK1a1fa6MFNlUlNTgcJNwckrOjqa8ePHk5mZSbt27di6dSt+fn62482aNeP555+nR48e3HjjjRw8eJB//etfLF68uEjjlMS+ySIiIlI0yRnZzNp0ktlbTpGWleuwj5+nG5P6N+P+/k3x976wLoglFw78AJvehXNHnQ9Qq7V1+ky7oQpFREREKjGXPjlSs2ZNzp07d9nFTOPj423hSFHX9li4cKHt3BdeeMEuGMnr+uuv5/rrr2ft2rUsXbqU+Ph4qlWrVqSxREREpHRk5uTy7fYwpq8/Tlyq4ydQvdzNjOsTxIMDrqK634UpvLk5cGCJNRQ5f9z5ALXbWkORtneC2VzyNyAiIiIViksn07Zp04bNmzdz/PhxcnJynG7ne/jwYbtziiLv1r9dunQpsG/Xrl1Zu3YtFouFo0ePFntxVhEREXENi8Vg+b4zvLf6CBHxjtch83AzMbJ7Yx65rjl1/C9M483NgeBF1lAkzvH6YwDUaQ8DnoHWQxSKiIiIiI1Lw5F+/fqxefNmUlNT2b17t9MwYuPGjbbXffv2LdIYeQOXnJycAvtmZ2c7PE9ERETKlmEYbDwayzu/HuFQVJLDPmYTDOvSkMeub0Gj6r7Wxtxs2LcQNr8H8aedD1C3Awx4FlrdqlBERERE8nFpQnDnnXfy1ltvATBnzhyH4YjFYmH+/PkABAYGMnDgwCKN0bRpU9vrzZs30759e6d9N23aBIDJZCIoKKhI44iIiIhr7AtP4O1Vh9l28rzTPoPa1uHpm1rRos6FNc1ysmDfd7D5fUgIdX7xep0uhCK3gMlUwpWLiIjIlcKlvzrp0aMH/fv3B2D27Nls27YtX5/333/fNjXmsccew8PDw+743LlzMZlMmEwmXn311Xzn33rrrZgu/GPnjTfeIDIy0mEts2bNYteuXQD06tWLGjVqFPu+RERE5J8LO5/Gwwv2cMenfzgNRro1qcYPU3sza2w3azCSkwW75sAnXWHFo86DkfqdYdT3MHkjtL5VwYiIiIgUyOVzSz766CP69u1Leno6gwYN4oUXXmDgwIGkp6ezcOFCZs2aBUDLli2ZNm1aka/funVrJkyYwFdffUVkZCSdO3fm8ccfp3///ratfBcuXMiCBQsAcHNz48033yzRexQREZHCS0zLZvr6Y8zbGkpWruNteVvUrsKzN7fm+ja1rb8EycmEv76Gzf+DpAIWem/QFQY8By1uVCAiIiIihebycKRz5858//333HfffSQlJfHCCy/k69OyZUtWrlxpt/1vUcyYMYPU1FS+//57YmNj+b//+z+H/fz8/Jg1axbXXnttscYRERGR4svKsfDN9lA+/v0YCWnZDvvUC/DmiRtbcleXhriZTZCdYQ1FtvwPkhw/HQpAw+7WUKT59QpFREREpMhKZVXSIUOGsH//fj766CNWrlxJREQEnp6eNG/enLvvvptHHnkEX1/fYl/fy8uLhQsXMmXKFObOncv27duJjIwkMzMTf39/WrVqxQ033MDkyZNp2LBhCd6ZiIiIXI5hGPx28CxvrzrM6fNpDvv4e7vzyHXNGds7CG8PN8hOh53zraFIcpTzizfqaV1T5KrrFIqIiIhIsZkMwzDKuogrQUREBI0aNQIgPDxcIYyIiAiwNzyBN1aGsPN0vMPjHm4mxvYO4l/XNSfQ19MaiuyaA398BClnnV+4cR+49lloOkChiIiISCXjip+/tZ+tiIiIlLgzCem8veowy/edcdrnlg51efbm1jSp4QdZabB1ljUUSY1xfuEm/ayhSFB/hSIiIiJSYhSOiIiISIlJz8rls40n+HzTCTKyHS+22rlxIC/e2oauTapDVir88TFs/RhSY51fOKg/XPscBPVzUeUiIiJSmSkcERERkX/MMAyW7zvD26sOE5WY4bBPo+o+PHtza27tUA9TVips+RC2fgJp55xfuOkAayjSpI9rChcRERFB4YiIiIj8Q/vCE/j3zyHsDnW8rkhVb3ceva4FY/s0wSs3DbZ8AFunQ3qc84tedZ11odXGvVxUtYiIiMjfFI6IiIhIscQkZfDOr0f4YU+Ew+NmE4zu2YQnbmxJdbcM2PoBbPsU0h2HKAA0v8EaijTq4aKqRURERPJTOCIiIiJFkpmTy+wtp/j09+OkZuU67NPnqhq8PKQtrQMN+PNDayiSkeD8oi0GwYDnoGFXl9QsIiIiUhCFIyIiIlJoG47E8NqKEE6dS3V4vHF1X/7v1jYMauaFafunsH0mZCY6v2DLwTDgGWjQxUUVi4iIiFyewhERERG5rPC4NP79cwhrQqIdHvfzdONf17dgQpcAvHZ+Dss/g8wk5xdsdas1FKl/tWsKFhERESkChSMiIiLiVEZ2Lp9vPMmMDcfJzMm/Na/JBHd3bcjT19SiVvBs+ORzyEp2fsHWt1nXFKnX0YVVi4iIiBSNwhERERHJxzAM1h6K4d8/HyQ8Lt1hn6sbBfLGTfVod/pr+HIWZKU4v2DbO+CaZ6BuexdVLCIiIlJ8CkdERETEzulzqby24iDrj8Q6PF7Dz5OXr6vN7ak/YPr+S8h2vP4ImKDdndZQpE5bl9UrIiIi8k8pHBERERHAOoVm5oYTzNxwgqzc/FNozCaY2s2fR71X4bVhDmSnObmSCdoPg2uehtptXFu0iIiISAlQOCIiIiJsPhbLSz8e4PR5x4HHjY0M3q67gRqHvoEcx9NsMJmh/V3WUKRWKxdWKyIiIlKyFI6IiIhUYjFJGby+8hAr9p1xeLx1lTSmN97EVWGLMMVmOL6IyQwdRsA1T0HNFi6sVkRERMQ1FI6IiIhUQrkWg2+2h/Leb0dIzszJd7y+OZ4PG26ke9xyTCedhSJu0PEeayhS4yoXVywiIiLiOgpHREREKpn9EQn837IDBEcm5jtWl/O8XO03bs5agzkm0/EFTG7QaRT0f1KhiIiIiFwRFI6IiIhUEskZ2bz32xHmbw/FMOyP1eccj3n/zHDzetzSsx1fwOwOV98L/Z6E6k1dX7CIiIhIKVE4IiIiUgmsPniWl386yNkk+ykyDYjlIffl3OO+EXdyIP8mNWD2gM6jraFItSalU7CIiIhIKVI4IiIicgWLScrgleUHWXXgrF17Q1MMD7v9xN3um3An1/HJZg/oMgb6PQGBjUuhWhEREZGyoXBERETkCmSxGCzcGc5bqw6RnPH3gquNTNE84vYTw9w242FyEoq4eUKXsdZQJKBhKVUsIiIiUnYUjoiIiFxhTsSm8PzSYHacirO1NTGd5RG3HxnqtgV3k6O5M4CbF3QdD30fg4AGpVOsiIiISDmgcEREROQKkZVj4bONJ5j++3Gycq0BSFNTFI+4L+NO8x+4mQzHJ7p7Q9cJ1lDEv14pViwiIiJSPigcERERuQL8FRbPcz8EcyQ6GYCrTJE84v4jt5u3FhCK+EC3idD3UahatxSrFRERESlfFI6IiIhUYBnZuXyw5ihfbj6JxbCGIo+6L2OIeRtmZ6GIh++FUOQxqFK7dAsWERERKYcUjoiIiFRQu07H8cyS/Zw8l0oLUwSPeizlVvOfBYQiftBjEvT+F1SpVbrFioiIiJRjCkdEREQqmLSsHP776xHmbTtNS8L41GMpt7rtcH6CZxXo8QD0fgT8apZeoSIiIiIVhMIRERGRCmTriXM8+8N+qsQfZob7Uga77XTe2bMq9JxsDUV8q5dekSIiIiIVjMIRERGR8shigZx066KpZjMpmTm89csh9u7YxIvuS7nJa5fzc738oeeD0GuqQhERERGRQlA4IiIiUp6cDYZtn0LIT5CdBh6+RDe8iRnhTbk2cwNveO1xfq5XgDUQ6fUg+FQrvZpFREREKjiFIyIiIuVF8BJYNgUsOX+3ZadR59QyXgNwc3KedwD0ehh6TgGfQNfXKSIiInKFUTgiIiJSHpwNzh+MXIbhHYip9yPWdUW8A1xYnIiIiMiVTeGIiIhIebDt00IHI7ne1XDr8wimHpPB29/FhYmIiIhc+RSOiIiIlDWLxbrGSCEYZg/cHt+nJ0VERERESpC5rAsQERGp7LIzU62LrxaCyZINZv1uQ0RERKQkKRwREREpQ8eik7lr1h6yDWerrV7Cw9e6va+IiIiIlBj96klERKQMGIbBvK2neWvVIZ7kGzzccwt3Yts7wazfbYiIiIiUJIUjIiIipSwmKYOnl+xn09FoXnGfz3j31YU70ewOvR9ybXEiIiIilZDCERERkVL028GzPL80mITUDN50n80o9/V2xw3A5OhEszsM/RzqdiiNMkVEREQqFYUjIiIipSA1M4fXfw5h4c5w3MjlPY/PGea2xa6PYTJjGvgCnD8JIT9aF2n18LVOpen9kIIRERERERdROCIiIuJif4XF88T3ezl9Pg0PcvjQYzq3uu2w72R2xzTsC2g/zPr/d3wKOenWxVe1xoiIiIiISykcERERcZGcXAufrj/Bx78fI9di4EUW0z0+5ka3PfYd3Tzh7rnQ+ta/28xm8PQr1XpFREREKiuFIyIiIi4QEZ/GYwv3sjs0HgBvMpnl8QHXuAXbd3T3hnu+hRY3lEGVIiIiIgIKR0RERErcL8FRPPvDfpIzcgDwI50vPd6nt1uIfUcPP7h3ITS9pgyqFBEREZGLFI6IiIiUkPSsXP79cwjf7QiztVUljbme79DVfMy+s2dVuG8JNO5VylWKiIiIyKUUjoiIiJSAw2eT+NeCvzgWk2JrCySZ+Z5v09F8yr6zdyCMWQoNupZukSIiIiLikMIRERGRf8AwDL75M4z//BxCZo7F1l6DRL7xfJM25nD7E3xrwNiftC2viIiISDmicERERKSYEtKyePaH/fx2MNquvTbxfOf1BleZztifUKWuNRip3boUqxQRERGRy1E4IiIiUgw7TsXx2MK/iErMsGtvQCyLfd+mviXK/gT/hjBuOdS4qhSrFBEREZHCUDgiIiJSBBaLwcyNJ3h/9REshv2xxqZolld9m8As+ydJCGwC41ZAtSalV6iIiIiIFJrCERERkUKKS83iyUV72XAkNt+xLr6xLPB6C+/0GPsDNZrD2OUQ0KCUqhQRERGRolI4IiIiUgi7Tsfxr+/yT6MBuKdxEm+mvI5b2jn7A7XaWNcYqVqnlKoUERERkeJQOCIiIlIAi8Xgi80n+e9vR8i9ZB6N2QRv9LIw8vDzmNLj7U+s2xHG/Ah+NUqvWBEREREpFoUjIiIiTiSkZTFt0T7WHY7Jd6xmFS++usFCx/WTIDPR/mCDbnDfEvCpVkqVioiIiMg/oXBERETEgT1h8fxrwV9EJqTnO9a7WQ1m9E+n2rJxkJVif7Bxb7h3EXj7l1KlIiIiIvJPKRwRERHJwzAMZm85xdurDpNzyTQakwn+dV0LHguKwO37eyHnkuCk6QAY9R14+pVixSIiIiLyTykcERERuSAlM4dnluzjl+Cz+Y7V8PPkw5FX09+yGxaOhdxM+w4tBsGIr8HDu5SqFREREZGSonBEREQEOB6TzJSvd3MiNjXfsR5Nq/PJqM7UifgNlkwES459h9a3wfA54O5ZStWKiIiISElSOCIiIpXeyv1RPLNkH6lZufmOPTzwKp64oSXuB3+AZVPAuKRP+7tg6Ofg5lFK1YqIiIhISVM4IiIilVZ2roV3Vh3myy2n8h3z93bno5GdGdi6Nuz5Gpb/C7Bfg4SrR8Ptn4DZrXQKFhERERGXUDgiIiKVUkxyBo8s+Isdp+LyHWtbz5/P7utK4xq+sOML+OWp/Bfodj/c8h6YzaVQrYiIiIi4ksIRERGpdHaejuPhb/cQk5yZ79jwrg35z53t8fZwg63TYfX/5b9Ar4fhpjes29eIiIiISIWncERERCoNwzCYu/U0b6w8lG+bXk83M6/e3o5RPRphMplg47uw/j/5L9J/Glz3koIRERERkSuIwhEREakUMrJzeWFpMEv/isx3rEGgDzNGd6FTo0AwDFj3Omx+L/9FBr4IA552fbEiIiIiUqoUjoiIyBXvTEI6U77eTXBkYr5j/VvU5KORnanu52kNRla/CNum57/Ija9D30dLoVoRERERKW0KR0RE5Iq241QcD327m3MpWfmO/eu65jx+Q0vczCawWGDV07Dzy/wXueU96PFAKVQrIiIiImVB4YiIiFyRDMPg2z/DeHX5wXzri/h5uvG/e65mULu61gZLLix/FPZ+c8lVTHD7x9BlbOkULSIiIiJlQuGIiIhccTJzcnl1+UG+2xGe71jTmn7MGtOVFnWqWhtyc+DHByF4sX1Hkxnu/Aw63VMKFYuIiIhIWVI4IiIiV5SYpAymfruH3aHx+Y5d26oWH43sTICPh7UhJwt+mAiHVth3NLvDXbOh3Z2uL1hEREREypzCERERuWL8FRbPg9/sJjopM9+xqddexVODWlnXFwHIzoBFY+HYb/Yd3TxhxHxoNbgUKhYRERGR8kDhiIiIXBGW7onguR+Cycq12LX7eLjx7t0dua1j/b8bs1Jh4b1wcoP9Rdx9YOS30Px61xcsIiIiIuWGwhEREanQLBaDd1cfYeaGE/mONazmw6wx3Whb3//vxsxk+HYEhG217+zhB6MXQVA/F1csIiIiIuWNwhEREamwUjNzePz7vawJic53rM9VNZh+bxeq+3n+3ZieAN8Oh4id9p29/GH0Emjc07UFi4iIiEi5pHBEREQqpIj4NCbN28Xhs8n5jo3vE8SLt7bB3c38d2NaHHx9J0Tts+/sUw3GLIP6nV1bsIiIiIiUWwpHRESkwtkdGs+Ur3dxLiXLrt3dbOLfd7Tn3p6N7U9IiYH5d0BMiH27b00Y+xPUbe/iikVERESkPFM4IiIiFYqzhVcDfT2YMboLfa6qaX9C0hmYdzucP2bfXqUujFsOtVq5uGIRERERKe8UjoiISIVQ0MKrV9XyY/a47gTV9LM/kBAG84ZA/Gn79oBG1idGalzluoJFREREpMJQOCIiIuVeamYOT3y/l9UOFl69pmUtPhnVmQAfD/sD509YnxhJirBvrxYE41ZA4CVTb0RERESk0lI4IiIi5Vp0UgYT5+7k4JmkfMccLrwKEHvEGoyknLVvr9nS+sSIf30XViwiIiIiFY3CERERKbcOn01iwpydRCVm2LW7m028dkc7Rvdskv+ks8Ew/05IO2ffXrsdjP0RqtR2Wb0iIiIiUjEpHBERkXJp49FYHv52DymZOXbtAT4ezBzdhT7Na+Y/KXIPfD0UMhLs2+t1gjE/gm91l9UrIiIiIhWXwhERESl3FvwZxks/HSDXYti1N6nhy5zx3WlWq0r+k8L+hG+HQ+Yl028adofRS8An0HUFi4iIiEiFpnBERETKDYvF4J3fDvP5xpP5jnVtUo0vxnajup9n/hNPbYYF90B2qn17k75w7/fgVdVFFYuIiIjIlUDhiIiIlAsZ2blMW7SPlcFR+Y7d1rEe793dCW8Pt/wnHl8LC0dDjv26JDQbCCMXgKeviyoWERERkSuFwhERESlz51MyeWD+LvaEJeQ79vDAq5h2YyvMZlP+Ew//AovHQW6WfXvLm+HueeDh7ZqCRUREROSKonBERETK1InYFCbM2UlYXJpdu7vZxBtD23NP98aOTzy4DH6YBBb7BVtpczvcNRvcHUy/ERERERFxQOGIiIiUmd2h8dw/bycJadl27VW93Jl5X1f6tXCwIw3Avu/hxwfBsNi3d7gb7vwM3PTtTUREREQKT/96FBGRMrEmJJpHFuwhM8c+4GgQ6MNX47vTqq6TRVR3z4MVjwH2O9nQeQwM+QjMDtYlEREREREpgMIREREpdd/+GcpLPx7gkp166dAggNnjulHb38laIX/OglVP52/vPgkGvwtmc8kXKyIiIiJXPIUjIiJSagzD4H9rjvLx78fzHbu2VS0+vbcLfl5OvjX98RGseTl/e+9HYNB/wORgwVYRERERkUJQOCIiIqUiO9fC/y0LZtGuiHzH7u7akDeHdcDDzcGTH4YBm96F9W/kP3bN0zDw/xSMiIiIiMg/onBERERcLi0rh4e/3cP6I7H5jv3ruuY8eWNLTI4CDsOAdf+GLR/kP3bdi9ZwRERERETkH1I4IiIiLnUuJZP75+5kX0SiXbvZBP++oz339Wri+ETDgN9egO0z8h+76U3o/bALqhURERGRykjhiIiIuEzo+VTGfbWD0+fT7Nq93M18Mqozg9rVdXyixQIrn4Tdc/Ifu/V96wKsIiIiIiIlROGIiIi4RMiZJMZ+tYNzKZl27YG+Hswe142uTao7PtGSC8v/BXu/veSACW7/BLqMcU3BIiIiIlJpKRwREZESt+NUHPfP20lyRo5de4NAH+ZN7EHz2lUcn5ibDcumwIEf7NtNbjBsFnQY7qKKRURERKQyUzgiIiIl6vfD0Uz9Zg+ZORa79jb1/Jk7oTt1/L0dn5iTCUsmwuGf7dvNHjD8K2h7u4sqFhEREZHKTuGIiIiUmKV7Inh6yX5yLYZde4+m1flyXDf8vT0cn5idDt+PgeNr7NvdvOCer6HlTS6qWERERERE4YiIiJSQr7ac4t8/h+Rrv6FNHabf2xlvDzfHJ2alwncj4dQm+3Z3Hxj1HVw10AXVioiIiIj8TeGIiIj8I4Zh8L81R/n49+P5jt3VpSHv3NUBdzez45MzkmDBCAjbZt/uWQXuXQRBfV1QsYiIiIiIPYUjIiJSbLkWg1eWH+Cb7WH5jk3q15QXbmmD2WxyfHJ6PHxzF0Tutm/3CoD7foBG3V1QsYiIiIhIfgpHRESkWLJyLDy5aC8/74/Kd+zpm1rx0LVXYTI5CUZSz8HXd8LZYPt2n+owZhnUv7rE6xURERERcUbhiIiIFFl6Vi4PfrObjUdj7dpNJnjjzg7c27Ox85OTo2H+7RB72L7drxaMXQ512rqgYhERERER5xSOiIhIkaRk5jBx7k52nIqza/d0M/PhyKu5pUM95ycnRlqDkfOXrE9StZ41GKnV0gUVi4iIiIgUTOGIiIgUWmJaNmPn7GBfeIJdu6+nG7PGdKNfi5rOT44PhXlDICHUvj2gMYz7Cao3K/mCRUREREQKQeGIiIgUyrmUTMbM3sGhqCS7dn9vd+ZN7EHnxtWcn3z+hDUYSYq0b6/ezPrESGAjF1QsIiIiIlI4CkdEROSyziZmcO+X2zkZm2rXXsPPk6/v70nb+v7OT445bJ1KkxJt316zpTUY8S9gGo6IiIiISClQOCIiIgUKj0vj3i+3Ex6Xbtde19+bbyb1pHntKs5Pjtpv3ZUm7bx9e532MOZHqFKrxOsVERERESkqhSMiIuLUidgURn/xJ2eTMuzaG1X3YcGkXjSq7uv85Mjd8PVQyEi0b6/fGe5bCr7VXVCxiIiIiEjRKRwRERGHDkUlMWb2n5xLybJrb1bLj28n9aRegI/zk8O2wzfDISvZvr1RTxi9GLwDXFCxiIiIiEjxKBwREZF89oYnMO6rHSSmZ9u1t65blW8m9aRmFS/nJ5/cCN+NhOw0+/ag/jBqIXgVMA1HRERERKQMKBwRERE7u0PjGPfVTlIyc+zaOzUKZN6E7gT6ejo/+dha+H405NhPw+Gq6+Ceb8GzgGk4IiIiIiJlROGIiIjY7Dwdx/ivdpCalWvX3qNpdb4a350qXgV82zi8EhaNA4v90ya0HAwj5oF7AU+biIiIiIiUIYUjIiICwJ8nzzNh7k7SLglGrmlZi8/v64qPp5vzkw8shaUPgMX+aRPa3gnDvgD3Ap42EREREREpYwpHRESEbSfOM3HuTtKz7YOR61vXZsZ9XfByLyAY2fsd/PQQGBb79o4j4Y5PwU3fakRERESkfNO/WEVEKrk/jp/j/nk7yci2DzdubFuH6fd2LjgY2TUHfn48f3uXsXDbR2A2l2yxIiIiIiIuoH+1iohUYpuOxjJxbv5g5KZ2dfj03ss8MbL9M8fBSI/JCkZEREREpELRv1xFRCqpDUdimDR/F5k59sHILR3qMv3eLni6F/AtYsv/4Ndn87f3eRQG/1fBiIiIiIhUKJpWIyJSCf1+OJoHv95DVq59MHJbx3r8756r8XBzEm4YBmx8Bza8lf/YgOfg2ufAZHJBxSIiIiIirlNqv9oLCwvjqaeeok2bNvj5+VG9enV69OjBe++9R1paWomOtXbtWsaPH0/z5s3x8/MjICCAli1bMnz4cGbOnElKSkqJjiciUpGsDYlmyte78wUjd1xdnw8vF4ysfdVxMHL9KzDweQUjIiIiIlIhmQzDMFw9yMqVKxk9ejSJiYkOj7dq1YpffvmFZs2a/aNx4uPjmTBhAj/99FOB/f766y+uvvrqfzTWpSIiImjUqBEA4eHhNGzYsESvLyJSEtYdiubBb3aTnWv/pX9Y5wa8e3cn3MxOwg3DgF+fgz8/y3/spreg90MuqFZEREREJD9X/Pzt8mk1+/btY8SIEaSlpVGlShWef/55Bg4cSHp6OgsXLuSLL77gyJEj3HrrrezcuZMqVaoUa5zExERuvPFGdu/eDcCtt97KyJEjad68Obm5uYSGhrJz506WLFlSkrcnIlJhbDgSw9Rv9uQLRoZ3bcg7d3V0HoxYLLDyCdg9N/+xWz+A7veXfLEiIiIiIqXI5U+ODBw4kA0bNuDu7s6mTZvo3bu33fF3332XZ555BoDXXnuNl19+uVjjjB07lq+//hp3d3e++eYb7rnnHof9DMMgNzcXd/eSzYX05IiIlGdbjp1j4rydZF2y+OqIbg15e1hHzM6CkdwcWP4I7PvOvt1khjs+havvdVHFIiIiIiKOueLnb5euObJz5042bNgAwP33358vGAGYNm0abdq0AeDDDz8kOzu7yONs2bKFr7/+GoAXX3zRaTACYDKZSjwYEREpz7adOM+k+fmDkbu7Xi4YyYalkxwEI25w15cKRkRERETkiuHScOTHH3+0vZ4wYYLjAsxmxo4dC1jXDLkYphTF9OnTAahSpQrTpk0r8vkiIleqHafimDh3JxnZ9sHIsM4NePuuAoKRnExYNA4OLrNvN3vAiHnQ/i4XVSwiIiIiUvpcGo5s3rwZAD8/P7p27eq034ABA2yvt2zZUqQxsrKybAuwDh482LZmSU5ODqGhoYSFhZGVlVXU0kVEKrzdoXFMmLOD9Oxcu/YhneoXvPhqdjosvBeOrLRvd/OCkQugzRAXVSwiIiIiUjZcGo4cOnQIgObNmxc4laV169b5zimsffv2kZGRAUDv3r05e/YsEyZMIDAwkKCgIJo0aUJAQAC33HILW7duLcZdiIhUPHvDExj31U5Ss+yDkVs61OV/IwoIRjJT4Nu74fha+3YPXxi9CFoOclHFIiIiIiJlx2WLb2RkZHDu3DmAyy6OUq1aNfz8/EhNTSU8PLxI44SEhNiN2aFDB9u4edtXrVrFb7/9xvvvv8/jjz9epDHAuuBLQaKioop8TRERVwiOSGTM7D9Jycyxax/Utg4fjeyMu5uTXDwjEb4dAeHb7ds9q8LoxdAk/7pRIiIiIiJXApeFI8nJybbXhdme92I4kpKSUqRx4uLibK9fe+01MjMzue2223j11Vdp3749iYmJ/PDDDzz33HMkJSXx5JNP0qpVKwYPHlykcS6uhCsiUp4dPJPIfbP/JDnDPhi5vnVtpt/bBQ9nwUhaHHxzF5zZY9/uHQD3LYOGzqdGioiIiIhUdC6bVnNxqguAp6fnZft7eXkBkJ6eXqRxUlNTba8zMzMZMmQIP/30E127dsXLy4vatWszdepUVq5cidlsxjAMnnnmGVy8g7GISKk7Gp3MfV/+SWK6/a5fA1rWYsZ9XfB0d/IlP/UczLs9fzDiUx3GrVAwIiIiIiJXPJc9OeLt7W17XZgFUTMzMwHw8fEp9jgA7777LmZz/h8A+vXrx7Bhw1iyZAkHDhzgwIEDdOjQodDjXG66T1RUFD169Cj09URESlLo+VTu+/JP4tPsg5F+zWvy+ZiueLm7OT4x+aw1GDl3xL7drzaMWw6127ioYhERERGR8sNl4UjVqlVtrwszVebiEyCFmYLjbJymTZvSqlUrp31vuukmlixZAsDOnTuLFI5cbt0UEZGyEpWYzr1f/ElMcqZde69m1flibDe8PZwEI4kRMG8IxJ20b/dvAGOXQ83mLqpYRERERKR8cdm0Gm9vb2rWrAlcfjHT+Ph4WzhS1LU98va/XICRt29MTEyRxhERKY/OpWQy+ss/iUywn5LYtUk1Zo/rjo+nk2Ak7hTMGZw/GAlsDBN+UTAiIiIiIpWKS7fybdPG+jj28ePHycnJcdrv8OHD+c4prHbt2tle5+bmFtDT/nhBWwuLiFQEiWnZjJm9g5OxqXbt7er789X47vh5Ofk6d+4YzLkFEsLs26tfBRNWQbUg1xQsIiIiIlJOuTQc6devH2CdMrN7926n/TZu3Gh73bdv3yKN0aRJExo3bgzAiRMnCuyb93iDBg2KNI6ISHmSkpnD+Lk7OBSVZNd+VS0/5k/sQYCPh+MTo0OswUjyGfv2Wq2tT4wEaAqhiIiIiFQ+Lg1H7rzzTtvrOXPmOOxjsViYP38+AIGBgQwcOLDI49x1110AREdHs3XrVqf9li5danvdv3//Io8jIlIeZGTn8sC8XfwVlmDX3qi6D99O6kWNKl6OT4zaB3NvhdRLphXW6QDjV0LVuq4pWERERESknHNpONKjRw9bCDF79my2bduWr8/777/PoUOHAHjsscfw8LD/befcuXMxmUyYTCZeffVVh+M8/vjjtl1rHn30UbvtfS/65ptv2LBhAwC33nqrFlgVkQopO9fCw9/uYdvJ83btdfy9+Pb+XtQN8HZ8YsQu6+Kr6XH27fW7wPgV4FfTRRWLiIiIiJR/Lg1HAD766CN8fHzIyclh0KBBvPXWW2zfvp3169czZcoUnnnmGQBatmzJtGnTijVG48aN+fe//w3A7t276dGjB/PmzWP37t38/vvvPPLII4wfPx4Af39//ve//5XIvYmIlKZci8ET3+9l3WH7Jz+q+3ny7aSeNK7h6/jE0K0w/w7ISLRvb9QLxv4EPtVcVLGIiIiISMXg8lVJO3fuzPfff899991HUlISL7zwQr4+LVu2ZOXKlXbb8hbV008/TVxcHO+88w4hISG2MCSv2rVr8+OPP9KiRYtijyMiUhYMw+CFpcH8vD/Krr2qtzvzJ/ageW0nXz9PboDvRkF2mn17UH8YtRC8irZ9uoiIiIjIlcjlT44ADBkyhP379/PEE0/QsmVLfH19CQwMpFu3brzzzjv89ddfNG/+z7eNfOutt/jjjz8YM2YMQUFBeHl5ERAQQPfu3Xn99dc5evQovXv3LoE7EhEpXW+tOsz3u8Lt2nw83Jg7oTvtGwQ4Punoavh2RP5gpPkNMHqxghERERERkQtMhmEYZV3ElSAiIoJGjRoBEB4erjVNRKTEfL7xBG+tOmzX5ulm5qvx3enXwslaIYdWwOIJYMm2b291K9w9B9ydLNoqIiIiIlLOueLn71J5ckRERIpn0a7wfMGIm9nE9Hs7Ow9GgpfAonH5g5F2w2DEPAUjIiIiIiKXUDgiIlJOrQmJ5rkf9udr/+9dHRnUzsm2u399Cz9MAiPXvr3TKLjrS3DzcHyeiIiIiEglpnBERKQc+vPkeR5esAfLJRMf/++WNtzV1cljgztnw08PAZec1HU83DEDzG6uKFVEREREpMJTOCIiUs6EnEli0rxdZOVY7NofHHAVD1zTzPFJ22bAyifzt/d8EG77EMz6ci8iIiIi4oz+tSwiUo6Enk9l7Fc7SM7MsWsf0a0hz97cyvFJm9+H357P397vCbj5bTCZXFCpiIiIiMiVw72sCxAREauY5AzGzN7BuZRMu/Yb29bhzaEdMF0achgGrH8TNv03/8WufQEGPKNgRERERESkEBSOiIiUA4np2Yz7aidhcWl27T2aVueTUZ1xd7vkQT/DgDUvwdZP8l/shteg3+OuK1ZERERE5AqjcEREpIxlZOfywPxdHIpKsmtvU8+fL8d1w9vjkoVULRb49VnYMSv/xQb/F3pOcWG1IiIiIiJXHoUjIiJlKNdi8NjCv9hxKs6uvUkNX+ZN7I6/9yVb71py4efHYc/8S65kgiEfWnemERERERGRIlE4IiJSRgzD4N8rDvLbwWi79lpVvfh6Yk9qV/W2PyE3x7pV7/7v7dtNZrhzJnQa6eKKRURERESuTApHRETKyKxNJ5m3LdSuraqXO/Mm9KBxDV/7zjlZsHQShPxk3252h2FfQPthLq5WREREROTKpXBERKQM/LQ3krdWHbZr83Az8fnYrrSt72/fOTsDFo+Ho6vs29084e650PpWl9YqIiIiInKlUzgiIlLKth4/x1OL9+Vrf+/uTvS5qqZ9Y1YafD8aTvxu3+7uDSO/heY3uLBSEREREZHKQeGIiEgpOhSVxJSvd5Oda9i1Pz+4NXdc3cC+c2YyfDcKTm+2b/fwg3sXQtNrXFytiIiIiEjloHBERKSUnElIZ8KcnSRn5ti1j+8TxORrmtl3zkiEb4ZDxA77ds+qcN8SaNzLxdWKiIiIiFQeCkdEREpBYno24+fs4GxShl37ze3q8tJtbTGZTH83psXB10Mhaq/9RbwDYcxSaNDV5fWKiIiIiFQmCkdE/r+9+w6PqszfP37PZNJDCB0kQGihCCIdBIRQZMUFdVFRURELuqKuAqLyE0Gxouj6de0odkBdBBRUJBQpYhBpSgeBUCXUkF7O748skzykh5lJJvN+XRfXzvmc5znnE64Hlrk9BXCztMwsjfr4V+04etaod2pUTf++8VL52fMEI2ePSR9fLf31h3mQkBrSbfOkum090DEAAADgWwhHAMCNsrMtjf1io37584RRb1IrVO/d1klB/n65xTOHpY+HSAk7zIOE1c0JRmq39EDHAAAAgO8hHAEAN3rxh236dtNho1arSqA+GtlF1UIDcoun9ksfDZFO/mkeIDxSGjFfqtHUA90CAAAAvolwBADcZGbcfr2zfI9RCw3w04zbO6tB9ZDc4ok9OcHI6XjzABGNpBHfSNUaeaBbAAAAwHcRjgCAG6zYeUxPzP3dqDnsNr15S0e1qV81t3hsR86tNInm1SWq0Uy6bb5U9bzX+wIAAABwOcIRAHCxHUcTdd+nvykr2zLqz17bRr2ja+UWjv6R8/DVpGPmAWq1ynnGSJU6HugWAAAAAOEIALjQscQ0jZyxVolpmUb93t5NNaxzw9zCoQ3SJ9dIKSfNA9S9RLp1rhRaw92tAgAAAPgfwhEAcJHUjCzd/fGvOngqxagPaltX4we2yC3Ex0mfXielnTYPUL+TdMtXUnA1D3QLAAAA4BzCEQBwgexsS2O+2KAN8aeM+qUNIvTKDZfKbrflFPaukj6/QUo/ax6gYXfp5i+koHDPNAwAAADAiXAEAFzgpUXbtXDzEaMWWS1Y793WSUH+fjmF3UukmTdLmeaVJWrcW7ppphQQ6qFuAQAAAORFOAIAF2hW3H69tWy3UasS5NCM2zurVpXAnML276UvbpOy0szJza+QbvhE8g/yULcAAAAAzmcv7wYAwJut2pVQ4Ct73xreUc3rVMkpbJknzb4lfzDS8u/SsM8IRgAAAIByRjgCAGW0669E3fvpOmWe98reZ65po57Na+ZsbPpS+nKklJ1hTm4zVLr+Q8kR4JlmAQAAABSKcAQAyuBkUrru+PBXJabmf2XvjV3+98re3z6R5twtWVnm5EuHS/94T/Lz91C3AAAAAIpCOAIApZSRla1/frZO+08kG3Xjlb1x70nz75dkXlWiTndKQ/4j2f080ywAAACAYhGOAEApWJalSfP/0Jo9J4x6u8iqua/sXf0faeG4/JO7jZaumibZ+asXAAAAqEh4Ww0AlMIna/bp81/2G7W64UG5r+xd/pK09Jn8E3uNlfpOlGw2D3UKAAAAoKQIRwCghFbuTNBT32wxakH+dr13WyfVrhIoxU6RVrycf2LME1LvRzzUJQAAAIDSIhwBgBL4MyFJ9322TlnnvZnm5evbqW39cGnRE9LP/8k/ccAUqceDHuoSAAAAQFkQjgBAMU6nZOjOj9bqzHlvpnmwX3P9vU3dnOeLrJ2ef+Kgl6Uud3uoSwAAAABlRTgCAEXIzMrWAzPXa8+xJKN+ZZu6eiimiTT/AWnDp+fNsklD/k/qcJvnGgUAAABQZoQjAFCE5xZu0087jhm11vXCNe26i2Wfd6+0+Utzgs0uXfO21G6YB7sEAAAAcCEIRwCgELPi9uuDVX8atZphgXrvlksUMu8uaes35gS7Qxr6vnTxNZ5rEgAAAMAFIxwBgAL8sue4Js773agF+Nn17k0Xq/73d0s7fzAn+AVIN3wstbjSg10CAAAAcAXCEQA4z8FTKfrnZ78pI8t8M83UIU3VYdW90p5l5gRHsHTjZ1Kzfp5rEgAAAIDLEI4AQB6pGVm655NfdSIp3ag/0LOOrvnjX9L+1eYE/1Bp+BdSVE8PdgkAAADAlQhHAOB/LMvShDmb9fvBM0b9quYhGnP4MengWnNCYLh0y3+lBl082CUAAAAAVyMcAYD/mbFqr+asP2jULq2Rpf9Lf1K2o5vMwcHVpFu/li5q78EOAQAAALgD4QgASFq9O0HPLtxq1BoFntXswGnyO7rdHBxSU7ptnlS3jQc7BAAAAOAuhCMAfN6Bk8m6//P1ysrOfQBrHZ3QgvBpCjxhvspXYXWlEfOlWi083CUAAAAAdyEcAeDTUjOydO+n64wHsNbXMS2oOlVhieYtNqraIOeKkRpNPdwlAAAAAHciHAHgsyzL0uPnPYC1ke2I5oQ8r4i0Y+bgalHSiG+kiIaebRIAAACA2xGOAPBZH6zaq6/zPIC1qe2gZgc9pxpZJ82BNaNzrhgJv8jDHQIAAADwBMIRAD5p9e4EPZfnAaytbPv0acDzqmGZr/FV7Yul2+ZKYbU92yAAAAAAjyEcAeBzzn8Aa1vbHn0S8LwibEnmwHrtpFvnSiHVPd8kAAAAAI8hHAHgU85/AGsH2w59GPCiwm0p5sDIztLwr6TgCM83CQAAAMCjCEcA+JRJ8/5wPoC1m32L3vd/SaG2NHNQox7SzbOlwCrl0CEAAAAATyMcAeAzZq/dr9m/xkuSLrdv1Lv+ryjIlmEOahIj3fi5FBBSDh0CAAAAKA/28m4AADzh94OnNXHeH5Kk/vZ1es9/Wv5gJPpv0k2zCEYAAAAAH8OVIwAqvdPJGfrnZ+uUnpmtQfY1es3/DfnbssxBrYZIQ9+XHAHl0yQAAACAckM4AqBSy862NOaLDYo/kaJr7Cs1zf8t+dksc1Db66Vr3pb8+CsRAAAA8EXcVgOgUntz2S7FbvtLw/yW6pWCgpH2t0rXvkMwAgAAAPgwvg0AqLRW7DymaT/u0G1+P+hp/4/yD+h8l3TlS5KdnBgAAADwZYQjACqlQ6dS9K9ZG3S3/RtN8J+Zf0D3+6UrnpFsNs83BwAAAKBCIRwBUOmkZ2brvk/XaXjqLI31/yr/gMsfkWL+H8EIAAAAAEmEIwAqk+xsKTNFzy3YpQFH3tFo//n5x/SdKF0+zvO9AQAAAKiwCEcAeL8jm6Wf35C2zJMykvX/LD/5O7Lyjxv4nNR9tOf7AwAAAFChEY4A8G6bv5K+vkfKznSW/G0FBCNXTct5ACsAAAAAnIdXNADwXkc25wtGzmdJUu/HCEYAAAAAFIpwBID3+vmNIoMRSbJJ0qn9HmkHAAAAgHciHAHgnbKzc54xUhJb5uaMBwAAAIACEI4A8E6ZKVJGcsnGZiTnjAcAAACAAhCOAPBOjmBZ/iElG+sfIjmC3dsPAAAAAK9FOALAO9nt+i20V8nGtr5GsvPXHQAAAICC8W0BgFeau/6gvjtWo/iBdofU/T73NwQAAADAaznKuwEAKK3dx85q4tcbNNdvadED7Q7p2nekum090xgAAAAAr0Q4AsCrpGZkafRnv2lQ1lI19T9s7vQLkLLSc54x0vqanCtGCEYAAAAAFINwBIBXeeqbLfrzyHHNCPyvuaPepdLdS6TM1JyHr/KMEQAAAAAlxLcHAF5j3oaDmhm3X7f5LVI92wlzZ//Jkt1PCgglGAEAAABQKnyDAOAV/kxI0oQ5mxWuJI12zDN3Nu4tNY0pn8YAAAAAeD3CEQAVXnpmth6cuV5J6Vka5fhWEbYkc0D/SeXTGAAAAIBKgXAEQIU3bdF2bT54WrV0Unf4fW/ubDVEqt+xfBoDAAAAUCkQjgCo0H7acUzv/LRHkvSAY65CbGm5O212qe/EcuoMAAAAQGVBOAKgwko4m6YxX2yUJDW0HdVNfkvMAe1vkWpFl0NnAAAAACoTwhEAFZJlWXrky41KOJtzpcgYx5fyt2XlDvALlHo/Vk7dAQAAAKhMCEcAVEgzVu3V0u3HJEmtbXt1jd9qc0DXUVLV+uXQGQAAAIDKhnAEQIXzx6HTeuG7bc7tRxyzzQGB4VLPMR7uCgAAAEBlRTgCoEJJTs/UAzPXKz0rW5LU1bZVMX4bzUE9HpRCqpdDdwAAAAAqI8IRABXK099s0Z5jSf/bsjTef5Y5ILS21O0+j/cFAAAAoPIiHAFQYSzYdFiz1sY7t/vbf1NH+05zUO/xUkCohzsDAAAAUJkRjgCoEA6cTNZjczY5t+3K1qP+5z1rpFqU1GGEZxsDAAAAUOkRjgAod5lZ2Xpo1gYlpmY6a9fYV6q57YA5MOYJyRHg4e4AAAAAVHaEIwDK3ZvLduvXfSed2wHK0P8L+docVKeN1GaohzsDAAAA4AsIRwCUq43xp/RarPlckdFVlqtG5lFzYL9Jkp2/sgAAAAC4Ht80AJSb5PRMPTx7g7KyLWct3J6q++xzzYENL5OaD/BscwAAAAB8BuEIgHLz3MKt2pOQZNTebrpG/mknzIH9J0s2m+caAwAAAOBTCEcAlIul2/7Sp2v2G7VeF0ndj35uDmwxSGrY1YOdAQAAAPA1hCMAPO742TQ98tUmoxbs76f/NFgiW/rZPFWb1HeiZ5sDAAAA4HMIRwB4lGVZemzOZiWcTTPqz/erqqq/f2wObnejVKe1B7sDAAAA4IsIRwB41Be/xuvHLeabaPq1rK2rT34kZaXnFv0CpD6Pe7g7AAAAAL6IcASAx+w7nqSnvtli1GqEBuil3v6ybZxlDu50p1StkQe7AwAAAOCrHOXdAADfkJmVrYdnb1ByepZRf2HoJaq+5mFJua/zVUCY1GusZxsEAAAA4LO4cgSAR7y1bLd+23/KqN3YuYEGVNknbV9gDu5+vxRWy3PNAQAAAPBpXDkCwO02xp/Sv2N3GrVGNUI08apW0syrzcEhNaTuoz3YHQAAAABfx5UjANwqJT1LD8/eoKzs3Ntm7DbplRsuVWj8MmnfKnNCr3FSULhHewQAAADg2whHALjVC99t1Z6EJKN2f9/m6tigqrT4KXNw1QZSpzs82B0AAAAAEI4AcKPVuxL00c/7jFq7yKp6oG8z6Y850tHN5oSYCZJ/kAc7BAAAAADCEQBukpiaoUe+2mTUgvztemXYpfK3MqUlU8wJtVpKlwzzYIcAAAAAkINwBIBbPLdwqw6eSjFq4we2VNNaYdL6j6WTe80J/Z6U7H6eaxAAAAAA/odwBIDLLdv+l2bGxRu1ro2r6/bLoqT0JGn5VHNCZGepxSDPNQgAAAAAeRCOAHCp0ykZeuy/5rNEQgL89NJ17WS326Q1b0lnj5qT+k+WbDbPNQkAAAAAeRCOAHCpp775Q0fOpBq1/3dVKzWsESIln5BWvWZOaNZfiurpwQ4BAAAAwEQ4AsBlFv1xRHN+O2jUejWvqZu7NMzZWPmqlHbGnNRvkoe6AwAAAICCEY4AcIkTSema8LV5O02VQIdeHHqJbDabdPqgFPeuOanNdVK9SzzYJQAAAADkRzgCwCUmzvtdCWfTjdqTg1vroojgnI3lL0qZeW63sTukmAke7BAAAAAACkY4AuCCfbvpkBZsOmzU+rWsres6RuZsJOyU1n9qTuowQqrR1EMdAgAAAEDhCEcAXJBjiWmaOPd3o1Y12F/P/6Ntzu00krRkimRl5Q5wBEu9x3uwSwAAAAAoHOEIgDKzLEsTvt6sk8kZRn3KNW1UOzwoZ+PgOmnLPHNit39KVep6qEsAAAAAKBrhCIAym7vhoH7cctSoDWpbV4MvqZdbiH3anBQUIfX4l/ubAwAAAIASIhwBUCZ/JaZq8vwtRq1GaICmXN0m93aa3UulPcvMib3GSMERHukRAAAAAEqCcARAmUya94dOp5i30zx7bVvVCAvM2bAsKfYpc1KVelKXUR7qEAAAAABKxmPhyP79+zVu3Di1atVKoaGhql69urp06aKXX35ZycnJbjnn4cOHFRERIZvNJpvNpj59+rjlPICvWbj5sL77/YhR+/sl9fS3NnmeI7JlnnRovTmxz2OSf7AHOgQAAACAknN44iQLFizQ8OHDdfr0aWctOTlZa9eu1dq1azV9+nQtXLhQTZo0cel5H3jgAeOcAC7cyaR0PTnPfDtN9dAAPTXk4txCVmbOG2ryqtFMuvQWD3QIAAAAAKXj9itHNm7cqBtuuEGnT59WWFiYnn32Wa1evVqxsbG6++67JUnbt2/XVVddpbNnz7rsvN98843++9//qnbt2i47JgDp6W+3KOFsulGbNLh17u00krThM+n4LnNi3yckP4/ksQAAAABQKm4PRx566CElJyfL4XBo0aJFmjBhgrp3766+ffvq3Xff1dSpUyVJ27Zt0yuvvOKSc549e1ajR4+WJL388ssuOSYAacm2o/p6/UGj1r9VHQ1pd1FuISNFWvaCObHepVLra9zeHwAAAACUhVvDkbVr12rZsmWSpDvvvFPdu3fPN2bs2LFq1aqVJOnf//63MjIy8o0prQkTJig+Pl4xMTG69dZbL/h4AKQzqRmaMMe8naZKkEPPXpvn7TSSFPeelHjInNx/spR3DAAAAABUIG4NR+bOnev8PHLkyIIbsNt12223SZJOnjzpDFPKKi4uTm+88YYCAgL01ltvXdCxAOR6fuE2HTmTatQmXtVadcKDcgspp6QV08yJjXtLTWPc3yAAAAAAlJFbw5EVK1ZIkkJDQ9WxY8dCx/Xu3dv5eeXKlWU+X2ZmpkaNGqXs7Gw9+uijatGiRZmPBSDX6l0Jmhm336j1al5T13eKPG/g/0mpp8xa/0nubQ4AAAAALpBbw5GtW7dKkpo1ayaHo/AHMbZs2TLfnLJ4+eWXtXHjRjVt2lQTJkwo83EA5EpOz9SjczYZtZAAPz13bVvzdprEI9Ka867WajVEql94MAoAAAAAFYHbXh2RmpqqhIQESVJkZGSRY6tVq6bQ0FAlJSUpPj6+TOfbs2ePnn76aUnSm2++qaCgoGJmlM6BAweK3H/48GGXng+oKF76YbviT6QYtceubKkG1UPMgT+9JGUk527b7FLfiR7oEAAAAAAujNvCkcTEROfnsLCwYsefC0fK+jrfe+65RykpKRo2bJiuuOKKMh2jKA0aNHD5MYGKbt2+E/pw9V6j1iWqum7p2sgceGKPtO5Ds9b+FqlWtFv7AwAAAABXcNttNampuQ9uDAgIKHZ8YGCgJCklJaWYkfl9/PHHWrx4scLDw/Xqq6+Wej6A/FIzsvTIV5tkWbm1QIddLwxtK7v9vDfPLH1Oys7M3fYLlHo/5plGAQAAAOACue3Kkby3taSnpxc7Pi0tTZIUHBxcqvMkJCRo7NixkqRnn31W9erVK9X8kirudp/Dhw+rS5cubjk3UB5eX7JTe44lGbUxA6LVpNZ5V4Id3iRt/tKsdR0lVa3v5g4BAAAAwDXcFo5UqVLF+bkkt8okJeV8CSvJLTh5jRkzRgkJCerUqZPuu+++0jVZCsU9NwWoTLYdOaN3lu8xau0iq+rOno3zD4592twODJd6jnFjdwAAAADgWm69cqRmzZpKSEgo9mGmJ0+edIYjpXm2x6FDh/TJJ59Ikvr27asvvviiyPF//fWXZs2aJUlq3LixunbtWuJzAb4iK9vSY//drMzs3Ptp/P1smnpdOzn8zrsTb+9KadePZq3Hg1JIdQ90CgAAAACu4bZwRJJatWqlFStWaNeuXcrMzCz0db7btm0z5pRU3tt1pk6dWuz4rVu36qabbpIkjRgxgnAEKMBnv+zThvhTRu3e3k3Vom4Vc6BlSYufMmuhtaVu7ruCCwAAAADcwW0PZJWknj17Ssq5ZWbdunWFjlu+fLnzc48ePdzZEoAiHD6doqnfbzdqjWuGanRMs/yDt38nHYgza73HSwGhbuwQAAAAAFzPreHINddc4/w8Y8aMAsdkZ2fr448/liRFREQoJiamxMePioqSZVnF/jqnd+/eztqHH35Ypp8JqMwmzftDZ9Myjdpz17ZVkL+fOTA7K/+zRqpFSR1GuLdBAAAAAHADt4YjXbp0Ua9evSRJ77//vn7++ed8Y6ZNm6atW7dKkv71r3/J39/f2P/hhx/KZrPJZrNp8uTJ7mwX8Gnf/35Ei7YcNWo3dIpU96Y18g/e9IV0bKtZi3lCchT/2m4AAAAAqGjc+swRSXrttdfUo0cPpaSk6IorrtCECRMUExOjlJQUzZo1S++++64kKTo62vlKXgCedSY1Q5Pm/27UaoQGaMKgAp4BlJkmLX3OrNVpI7UZ6sYOAQAAAMB93B6OtG/fXrNnz9Ytt9yiM2fOaMKECfnGREdHa8GCBcbrfwF4zkvfb9fRM2lG7cnBrRURUsCVIL9+IJ3eb9b6TZLsbr0QDQAAAADcxiPfZgYPHqxNmzbp4YcfVnR0tEJCQhQREaFOnTrpxRdf1Pr169WsWQEPfATgduv2ndCnv+wzar2ja2lIu4vyD05LlH56yaw16iE1H+DGDgEAAADAvWxW3ieWoswOHDigBg0aSJLi4+MVGRlZzh0BxUvPzNbfX1+hHUfPOmtB/nb9+HBvNagekn/CshekZc+btTsWSQ15LTYAAAAAz3DH92+ugwd82Hsr9hjBiCSNGRBdcDCSlCCtft2stRhEMAIAAADA6xGOAD7qz4QkvRa706i1rheuO3o0LnjCimlSet4gxSb1nei+BgEAAADAQwhHAB9kWZYmzNms9MxsZ81uk14Y2lYOvwL+Wji1X1o73ay1u1Gq09rNnQIAAACA+xGOAD7oq3UH9POe40ZtZI/GuiQyouAJS5+XstJzt/0CpD6Pu69BAAAAAPAgwhHAx5xMStdzC7catfoRwRozILrgCUe3SBtnmrVOd0rVGrmpQwAAAADwLMIRwMe8+P02nUzOMGrPXNNGoYGOgicseUZSnpdaBYRJvca6r0EAAAAA8DDCEcCHrNt3QrPWxhu1K9vUVUzL2gVPiI+Tti8wa93vl8JqualDAAAAAPA8whHAR2RmZev/ff27UQsN8NOTgwt5qKplSYsnm7WQGlL30e5pEAAAAADKCeEI4CM+XL1X244kGrWHB0SrXtXggifsWiztW2XWeo2TgsLd1CEAAAAAlA/CEcAHHD6dold/3GHUWtatotsviyp4Qna2tPgps1a1gdTpDvc0CAAAAADliHAE8AHPfLtVSelZZu2aNnL4FfJXwB9zpKObzVrMBMk/yE0dAgAAAED5IRwBKrnlO45pwebDRm1YpwbqFFW94AmZ6dKSKWatVkvpkmFu6hAAAAAAyhfhCFCJpWZk6cl55kNYI0L89eiVLQuftP5j6eRes9bvScnu5/oGAQAAAKACIBwBKrG3lu3WvuPJRu3xK1uqemhAwRPSk6TlU81aZGepxSA3dQgAAAAA5Y9wBKik/kxI0lvLdhu1jo2q6fqODQqftOYt6exRs9Z/smSzub5BAAAAAKggCEeASsiyLD0573elZ2U7a352m565po3s9kKCjuQT0qrXzFqz/lJUTzd2CgAAAADlj3AEqIQWbD6sFTsTjNrIy6LUql544ZNWviqlnTFr/Sa5oTsAAAAAqFgIR4BKJjE1Q09/s8Wo1Q0P0kMDogufdPqgFPeuWWtznVTvEjd0CAAAAAAVC+EIUMm8+uNO/ZWYZtSeHNxaYYGOwictf1HKTM3dtjukmAlu6hAAAAAAKhbCEaAS2X4kUR/9vNeoXR5dS1e2qVv4pISd0vpPzVqHEVKNpq5vEAAAAAAqIMIRoJKwLEuT5v+urGzLWQtw2PX0kItlK+ptM0umSFZW7rZ/iNR7vBs7BQAAAICKhXAEqCQWbD6sNXtOGLV7L2+iqJqhhU86uE7aMs+sdfunVKWIK00AAAAAoJIhHAEqgeT0TD27YKtRqx8RrH/2aVb0xNinze2gCOmyB13bHAAAAABUcIQjQCXwxtJdOnw61ag9cVUrBQf4FT5p91JpzzKz1muMFBzh8v4AAAAAoCIjHAG83N6EJL33059GrWezmvpbUQ9htSwp9imzVqWe1GWUGzoEAAAAgIqNcATwck9/u0XpWdnObYfdpslDWhf9ENat86VD681an8ck/2A3dQkAAAAAFRfhCODFYrce1ZJtfxm1kT2i1Kx2lcInZWVKsVPMWo1m0qW3uKFDAAAAAKj4CEcAL5WakaWnv91i1GpVCdSD/ZoXPXHDZ9LxnWat70TJz+HiDgEAAADAOxCOAF7q/ZV/at/xZKP22N9aqkqQf+GTMlKkZS+YtXqXSq2vdn2DAAAAAOAlCEcAL3ToVIr+s2SXUevYqJqubV+/6Ilx70mJh8xa/8lSUc8nAQAAAIBKjnAE8ELPLtyqlIws57bNJj015GLZ7UWEHCmnpBXTzFrj3lLTGPc0CQAAAABegnAE8DKrdydowabDRu3mLg3Vpn7VYib+n5R6yqz1n+Ta5gAAAADACxGOAF4kIytbk+f/YdQiQvw17ooWRU9MPCKtecustRoi1e/o4g4BAAAAwPsQjgBe5JOf92nH0bNGbewVLVQtNKDoiT+9JGXkeXirzU/q96QbOgQAAAAA70M4AniJ42fT9OriHUatdb1w3dylYdETT+yR1n1o1toPl2oW88pfAAAAAPARhCOAl3jlxx1KTM00ak9ffbH8inoIqyQtfU7KzjPPL1Dq/ZgbOgQAAAAA70Q4AniBrYfPaGbcfqN2zaUXqVNU9aInHt4kbf7SrHUdJVUt5pW/AAAAAOBDCEeACs6yLD2zYIuyrdxakL9dj17ZsvjJsU+b24HhUs8xrm0QAAAAALwc4QhQwS3e+pdW7Tpu1O7t3VT1qgYXPXHvSmnXj2atx4NSSDFXmwAAAACAjyEcASqwtMwsPbtgi1GrVzVI91zetOiJliUtfsqshdaWut3n4g4BAAAAwPsRjgAV2Mer92nv8WSj9tiVLRUc4Ff0xO3fSQfizFrv8VJAqIs7BAAAAADvRzgCVFDHz6bp/2J3GrX2DSM0pN1FRU/Mzsr/rJFqUVKHEa5tEAAAAAAqCcIRoIKa9uMOJaaZr+598u+tZbMV8+reTV9Ix7aatZgnJEeAizsEAAAAgMqBcASogLYePqNZ572699r29dW+YbWiJ2amSUufM2t12khthrq4QwAAAACoPAhHgArGsixN+dZ8dW+wv5/G/61F8ZN//UA6bYYq6jdJsvNHHQAAAAAKwzcmoIL5cctRrd5dhlf3piVKP71k1hr1kJoPcHGHAAAAAFC5EI4AFUhaZpaeXWg+L+SiqkEadXmT4if//IaUbIYq6jdJKu4ZJQAAAADg4whHgArko9V7te+8V/c+WpJX9yYlSKtfN2stBkkNu7q4QwAAAACofAhHgAoi4WyaXo/dZdRK9OpeSVoxTUo/m6dgk/pOdG2DAAAAAFBJEY4AFcS0Rflf3Ttp8MXFv7r31H5p7XSz1u5GqU5rF3cIAAAAAJUT4QhQAWw7ckaz15pvmflH+/q6tEFE8ZOXPi9lpedu+wVIfR53bYMAAAAAUIkRjgAVwPMLt+V7de8jJXl179Et0saZZq3TnVK1Rq5tEAAAAAAqMcIRoJyt2HlMy3ccM2qjLm9S/Kt7JWnJM5LypCoBYVKvsa5tEAAAAAAqOcIRoBxlZVt6buE2o1arSmDJXt0bHydtX2DWut8vhdVyYYcAAAAAUPkRjgDl6Ov1B7X18BmjNnZAtEIDHUVPtCxp8WSzFlJD6j7atQ0CAAAAgA8gHAHKSUp6ll7+YbtRi64Tpus7NSh+8q7F0r5VZq3XOCko3IUdAgAAAIBvIBwBysn7K/foyJlUo/b4oFbysxfz6t7sbGnxU2atagOp850u7hAAAAAAfAPhCFAOjiWm6a1lu41aj2Y11Ce6BM8L+WOOdHSzWYuZIDkCXdghAAAAAPgOwhGgHLwWu0NJ6VnObZtNmjColWy2Yq4ayUyXlkwxa7VaSpcMc0OXAAAAAOAbCEcAD9v111nNjIs3av9oH6mLL6pa/OT1H0sn95q1fk9Kdj/XNQgAAAAAPoZwBPCwF77bpqxsy7kd6LBr3MDo4iemJ0nLp5q1yM5Si0Eu7hAAAAAAfAvhCOBBa/Yc1+KtR43aXb0aq17V4BJMfks6a85V/8k59+QAAAAAAMqMcATwkOxsS88t3GrUaoQG6N7eTYufnHxCWvWaWWs2QIrq6cIOAQAAAMA3EY4AHvLNpkPadOC0UXuof3NVCfIvfvLKV6W0M2at35Mu7A4AAAAAfBfhCOABqRlZmvr9dqPWpGaobuzSsPjJpw9Kce+atTbXSfUucWGHAAAAAOC7CEcAD/j45706eCrFqD12ZUv5+5Xgj+DyF6XM1Nxtu0OKmeDiDgEAAADAdxGOAG52Mildry/ZZdS6RFXXgNZ1ip+csFNa/6lZ6zBCqlGC55QAAAAAAEqEcARwszeX7VJiaqZRm3BVK9lK8paZJVMkKyt32z9E6j3exR0CAAAAgG8jHAHc6NCpFH308z6jNrjdRbq0QUTxkw+uk7bMM2vd/ilVqeu6BgEAAAAAhCOAO/178Q6lZ2Y7tx12m8ZdEV2yybFPm9tBEdJlD7quOQAAAACAJMIRwG12Hk3UV+sOGLWbuzZUoxqhxU/evVTas8ys9RojBUe4rD8AAAAAQA7CEcBNXvphu7Kt3O2QAD890Ld58RMtS4p9yqxVqSd1GeXaBgEAAAAAkghHALdYt++kFm05atTu7NlYtaoEFj9563zp0Hqz1ucxyT/YhR0CAAAAAM4hHAFczLIsvfj9NqNWLcRfoy5vUvzkrEwpdopZq9FMuvQWF3YIAAAAAMiLcARwsWU7jinuzxNGbXRMM1UJ8i9+8obPpOM7zVrfiZKfw4UdAgAAAADyIhwBXCg729LU77cbtfoRwbqlW6PiJ2ekSMteMGv1LpVaX+26BgEAAAAA+RCOAC40f+MhbT18xqg9PCBaQf5+xU+Oe09KPGTW+k+WbDbXNQgAAAAAyIdwBHCR9MxsTfvRvGokuk6Yrm1fv/jJKaekFdPMWuPeUtMY1zUIAAAAACgQ4QjgIp//sk/xJ1KM2iMDW8rPXoIrP1a/LqWeMmv9J7muOQAAAABAoQhHABc4m5ap15fsMmqdGlVT/1a1i5+ceERa86ZZazVEqt/RhR0CAAAAAApDOAK4wPsr/tTxpHSj9uiVLWUryfNCfnpJykjO3bb5Sf2edHGHAAAAAIDCEI4AF+j42TS9+9Nuo9avZW11jqpe/OQTe6R1H5q19sOlms1d1yAAAAAAoEiEI8AF+s/SXUpKz3Ju22zSI39rUbLJS5+TsjNzt/0Cpd6PubhDAAAAAEBRCEeACxB/Ilmfrdlv1K5tX18t64YXP/nwJmnzl2at6yipagnebgMAAAAAcBnCEeAC/F/sTqVnZTu3A/zserh/dMkmL5libgeGSz3HuLA7AAAAAEBJEI4AZbTn2Fn997cDRm14t4ZqUD2k+Ml7V0k7F5m1Hg9KISV4TgkAAAAAwKUIR4Ay+vfincq2creD/f00OqZZ8RMtS1o82ayF1pa63efS/gAAAAAAJUM4ApTBtiNn9M2mQ0ZtZI8o1QwLLH7y9u+kA3Fmrfd4KSDUhR0CAAAAAEqKcAQog1cW7ZCV56qRKoEOjbq8SfETs7Ok2KfNWrUoqcMIl/YHAAAAACg5whGglDYdOKVFW44atbsvb6KIkIASTP5COrbVrMU8ITlKMBcAAAAA4BaEI0Apvbxoh7FdLcRfI3tEFT8xM01a+pxZq9NWajPUdc0BAAAAAEqNcAQohbg/T+inHceM2r29m6pKkH/xk3/9QDq936z1nyTZ+WMIAAAAAOWJb2VACVmWpZcXbTdqtaoE6rbuUcVPTkuUfnrJrDXqITXr77oGAQAAAABlQjgClNDKXQmK+/OEUbs/ppmCA/yKn/zzG1LycbPWb5Jks7mwQwAAAABAWRCOACWQc9WI+ayRi6oG6cYuDYqfnJQgrX7drLUYJDXs6sIOAQAAAABlRTgClMDirX9pY/wpo/Zgv+YKdJTgqpEV06T0s3kKNqnvRJf2BwAAAAAoO8IRoBjZ2ZamnfeskagaIRraMbL4yaf2S2unm7V2N0p1WruwQwAAAADAhSAcAYqx8PfD2nYk0ag91D9a/n4l+OOz9HkpKz132y9A6vO4izsEAAAAAFwIwhGgCJlZ2XrlR/NZI81rh2lwu4uKn3x0i7RxplnrdKdUrZELOwQAAAAAXCjCEaAIczcc0p5jSUZt7BXR8rOX4C0zS56RZOVuB4RJvca6tkEAAAAAwAUjHAEKkZ6ZrddizatGLr4oXAMvrlv85Pg4afsCs9b9fimslgs7BAAAAAC4AuEIUIgv18Ur/kSKURt3RQvZbMVcNWJZ0uLJZi2khtR9tGsbBAAAAAC4BOEIUID0zGy9sWSXUevYqJr6tCjBlR+7Fkv7Vpm1XuOkoHAXdggAAAAAcBXCEaAAX66L16HTqUZtzIDo4q8ayc6WFj9l1qo2kDrf6eIOAQAAAACuQjgCnKegq0a6RFXXZU1rFD/5jznS0c1mLWaC5Ah0YYcAAAAAAFciHAHOU9BVIw/1b178VSOZ6dKSKWatVkvpkmEu7hAAAAAA4EqEI0AehV010r0kV42s/1g6udes9XtSsvu5rkEAAAAAgMsRjgB5FHTVyL9KctVIepK0fKpZi+wstRjk4g4BAAAAAK5GOAL8T3pmtt5cutuodY6qVrJnjax5Szp71Kz1nywVF6oAAAAAAMod4QjwP1+tO6CDp1KM2kP9S/CGmuQT0qrXzFqzAVJUTxd3CAAAAABwB8IRQP971shS81kjJb5qZOWrUtoZs9bvSRd2BwAAAABwJ8IRQBdw1cjpg1Lcu2atzXVSvUtc3CEAAAAAwF0IR+DzLuiqkeUvSpl5HuBqd0gxE1zcIQAAAADAnQhH4PPKfNVIwk5p/admrcMIqUZTF3cIAAAAAHAnwhH4tAu6amTJFMnKyt32D5F6j3dxhwAAAAAAdyMcgU8r81UjB9dJW+aZtW7/lKrUdXGHAAAAAAB3IxyBzyroqpFOjUp41Ujs0+Z2UIR02YOuaw4AAAAA4DEeC0f279+vcePGqVWrVgoNDVX16tXVpUsXvfzyy0pOTr6gY585c0azZs3S3XffrQ4dOigiIkIBAQGqVauW+vTpo5dfflmnTp1yzQ+CSqPMV43sXirtWWbWeo2RgiNc2h8AAAAAwDNslmVZ7j7JggULNHz4cJ0+fbrA/S1atNDChQvVpEmTUh/7u+++07XXXqu0tLQix9WpU0czZ85UTExMqc9REgcOHFCDBg0kSfHx8YqMjHTLeeAa6ZnZinl5mRGOdGpUTV/e273ocMSypPdipEPrc2tV6kkPrpf8g93YMQAAAABAcs/3b7dfObJx40bdcMMNOn36tMLCwvTss89q9erVio2N1d133y1J2r59u6666iqdPXu21Mc/fvy40tLSZLfbNXDgQL366qtasmSJfvvtN82fP1/Dhg2TJB09elR///vftWHDBlf+ePBSZb5qZOt8MxiRpD6PEYwAAAAAgBdzuPsEDz30kJKTk+VwOLRo0SJ1797dua9v375q3ry5xo8fr23btumVV17Rk08+Warj+/v765577tGECRPUsGFDY1/79u01ePBg9ejRQw8++KCSk5M1duxYxcbGuuRng3fKzMrWW8vzP2ukR7NinjWSlSnFTjFrNZpJl97i4g4BAAAAAJ7k1itH1q5dq2XLlkmS7rzzTiMYOWfs2LFq1aqVJOnf//63MjIySnWOYcOG6e23384XjOT1wAMPqFOnTpKkZcuW6fjx46U6ByqX+RsPKf6EedXIv/o3L/6qkQ2fScd3mrW+EyU/t2eMAAAAAAA3cms4MnfuXOfnkSNHFtyA3a7bbrtNknTy5ElnmOJqffr0kSRlZ2frzz//dMs5UPFlZVv53lDTrkGEejarWfTEjBRp2Qtmrd6lUuurXdsgAAAAAMDj3BqOrFixQpIUGhqqjh07Fjqud+/ezs8rV650Sy95H9hqt/MGY1/1/e9HtPtYklF7IKZZ8VeNxL0nJR4ya/0nS8XNAwAAAABUeG5NCbZu3SpJatasmRyOwm89aNmyZb45rrZ8+XJJksPhULNmzdxyDlRslmXpP+ddNdKqXrj6tapd9MSUU9KKaWatcW+pqXvefAQAAAAA8Cy3PSwhNTVVCQkJklTsa3WqVaum0NBQJSUlKT4+3uW9LFiwQJs2bZIkDRw4UOHh4aU+xoEDB4rcf/jw4TL1Bs9Zsu0vbT18xqiNjmla/FUjq1+XUk+Ztf6TXNscAAAAAKDcuC0cSUxMdH4OCwsrdvy5cKQsr/MtyokTJzR69GhJkp+fn6ZMmVLMjIKde4cyvJNlWXp9iXnVSJNaobqyTb2iJyYekda8adZaXy3VL/w2MQAAAACAd3HbbTWpqanOzwEBAcWODwwMlCSlpKQUM7LksrKyNHz4cO3bt0+S9MQTT6h9+/YuOz68x6pdx7Uh/pRRG92nmfzsxVw18tNLUkZy7rbNL+cNNQAAAACASsNtV44EBQU5P6enpxc7/twDU4ODg13Ww3333afvv/9eknTVVVdp4sSyf6kt7nafw4cPq0uXLmU+PtzrP0vNV/BGVgvWkEsvKnrSiT3Sug/NWvvhUs3mrm0OAAAAAFCu3BaOVKlSxfm5JLfKJCXlvEGkJLfglMTjjz+ud999V5LUs2dPffnll/Lz8yvz8Yp7bgoqrrV7T2jNnhNG7Z99msrfr5gLp5Y+J2Vn5m77BUq9H3NDhwAAAACA8uS222qCgoJUs2ZNScU/zPTkyZPOcMQVz/Z48cUX9cILL0iSOnTooG+//dalV6TAu/znvGeN1AkP1HUdiwm7Dm+SNn9p1rqOkqrWd3F3AAAAAIDy5tZX+bZq1UqStGvXLmVmZhY6btu2bfnmlNWbb76pxx57zHmsH374QVWrVr2gY8J7bT5wWst3HDNq91zeVIGOYq4iWnLeg3sDw6WeY1zcHQAAAACgInBrONKzZ09JObfMrFu3rtBxy5cvd37u0aNHmc/3ySef6P7775ckNWnSRIsXL3ZevQLfdP6zRmqEBuimLg2LnrR3lbRzkVnr8S8ppLqLuwMAAAAAVARuDUeuueYa5+cZM2YUOCY7O1sff/yxJCkiIkIxMTFlOtecOXM0cuRIWZalyMhIxcbG6qKLinngJiq17UcS9cMfR43anb0aKzigiKtGLEtaPNmshdaWuv3T9Q0CAAAAACoEt4YjXbp0Ua9evSRJ77//vn7++ed8Y6ZNm6atW7dKkv71r3/J39/f2P/hhx/KZrPJZrNp8uTJBZ5n0aJFuummm5SVlaXatWtr8eLFioqKcunPAu/z5jLzWSPhQQ7d2q1R0ZO2fycdiDNrvcdLAaEu7g4AAAAAUFG47W0157z22mvq0aOHUlJSdMUVV2jChAmKiYlRSkqKZs2a5XyjTHR0tMaOHVvq469Zs0bXXnut0tPT5e/vr1dffVUZGRn6/fffC50TGRmpiIiIsv5I8AJ/JiTpm42HjNrtPRqrSpB/ITMkZWdJsU+btWpRUocRrm8QAAAAAFBhuD0cad++vWbPnq1bbrlFZ86c0YQJE/KNiY6O1oIFC4zX/5bU999/r+TkZElSRkaGhg8fXuycGTNm6Pbbby/1ueA93lq2S9lW7nZogJ9GXhZV9KRNX0jHtpq1mCckR4DL+wMAAAAAVBxuva3mnMGDB2vTpk16+OGHFR0drZCQEEVERKhTp0568cUXtX79ejVr1swTrcAHHDyVojm/HTRqt3RvpGqhRYQcmWnS0ufMWp22UpuhbugQAAAAAFCR2CzLsoofhuIcOHBADRo0kCTFx8crMjKynDvyXU/O+10f/7zPuR3osGvlo31Vq0pg4ZPWvCV9/5hZG/6V1HyAm7oEAAAAAJSFO75/e+TKEcBTEs6mafbaeKN2U5eGRQcjaYnSTy+ZtUY9pGb93dAhAAAAAKCiIRxBpfLR6r1Ky8x2bjvsNo26vEnRk35+Q0o+btb6TZJsNjd0CAAAAACoaAhHUGmcTcvUR6v3GrWrL62viyKCC5+UlCCtft2stRgkNezq+gYBAAAAABUS4QgqjZm/7NeZ1Eyjdm/vYq4aWTFNSj+bp2CT+k50fXMAAAAAgAqLcASVQlpmlqav3GPUBrSuo+Z1ing99Kn90trpZq3djVKd1m7oEAAAAABQURGOoFKYt/6Qjp5JM2r39m5a9KSlz0tZ6bnbfgFSn8fd0B0AAAAAoCIjHIHXy8629PZPu41al8bV1bFRtcInHd0ibZxp1jrdKVVr5IYOAQAAAAAVGeEIvN6iLUe151iSUftncVeNLHlGkpW7HRAm9Rrr+uYAAAAAABUe4Qi8mmVZemu5edVIy7pV1KdFrcInxcdJ2xeYte73S2FFzAEAAAAAVFqEI/Bqa/ac0Mb4U0btn32aymazFTzBsqTFk81aSA2p+2i39AcAAAAAqPgIR+DVzr9qJLJasK5qW6/wCbtipX2rzFqvcVJQuBu6AwAAAAB4A8IReK3fD57WTzuOGbVRlzeRw6+QZZ2dnf+qkaoNpM53uqdBAAAAAIBXIByB13rnpz3Gdo3QAF3fsUHhE/6YIx3dbNZiJkiOQDd0BwAAAADwFoQj8Er7jidpwaZDRu32y6IUHOBX8ITMdGnJFLNWq6V0yTA3dQgAAAAA8BaEI/BK763Yo+w8b+INDfDTbd2jCp+w/mPp5F6z1u9JyV5ImAIAAAAA8BmEI/A6xxLT9MWvB4zaTV0aqmqIf8ET0pOk5VPNWmQXqcUgN3UIAAAAAPAmhCPwOjNW/an0zGzntr+fTXf2alz4hF/els4eNWv9J0uFve4XAAAAAOBTCEfgVRJTM/TJmn1G7dr29VWvanDBE5JPSCtfM2vNBkhRPdzUIQAAAADA2xCOwKt8/st+JaZmOrdtNmnU5U0Ln7DyVSnttFnr96SbugMAAAAAeCPCEXiN9MxsfbDqT6N2Res6alY7rOAJpw9Kce+atTbXSfUucVOHAAAAAABvRDgCr/HNxkM6eibNqN3bu4irRpa/KGWm5m7bHVLMBDd1BwAAAADwVoQj8AqWZem9FXuMWpeo6mrfsFrBExJ2Sus/NWsdRkg1ighTAAAAAAA+iXAEXmHlrgRtO5Jo1O6+vEnhE5Y8I1lZudv+IVLv8W7qDgAAAADgzQhH4BXe/cm8aqRJzVD1a1m74MEHf5O2zDVr3f4pVanrnuYAAAAAAF6NcAQV3tbDZ7RiZ4JRu7NXY9nttoInxD5lbgdFSJc96J7mAAAAAABej3AEFd70FeYbaqqHBmhoh8iCB+9eKu1ZZtZ6jZGCI9zSGwAAAADA+xGOoEI7eiZV8zceNGq3dmukIH+//IMtK/9VI1XqSV1GubFDAAAAAIC3IxxBhfbh6r3KyLKc24EOu27t3qjgwVvnS4fWm7U+j0n+wW7sEAAAAADg7QhHUGElpWXqszX7jNrQjpGqGRaYf3BWphQ7xazVaCZdeosbOwQAAAAAVAaEI6iwvvg1XmdSM53bNpt0Z8/GBQ/e8Jl0fKdZ6ztR8nO4sUMAAAAAQGVAOIIKKTMrW++vNB/E2q9lHTWtFZZ/cEaKtOwFs1bvUqn11e5rEAAAAABQaRCOoEL6/o8jOnAyxaiNurxJwYPj3pMSD5m1/pNzLjUBAAAAAKAYhCOocCzL0ns/7TFq7RpEqHNUtfyDU05JK6aZtca9paYx7msQAAAAAFCpEI6gwlm796Q2Hjht1O7u1Vi2gq4EWf26lHrKrPWf5L7mAAAAAACVDuEIKpz3VphXjURWC9bfLq6bf2DiEWnNm2at9dVS/Y5u7A4AAAAAUNkQjqBC2X3srBZvPWrU7uzZWA6/ApbqTy9JGcm52za/nDfUAAAAAABQCoQjqFDeX/mnLCt3OzzIoRs6Ncg/8MQead2HZq39cKlmc7f2BwAAAACofAhHUGEcP5um/647YNSGd2uk0EBH/sFLn5OyM3O3/QKl3o+5uUMAAAAAQGVEOIIK45M1+5SWme3c9vez6fbLovIPPLxJ2vylWes6Sqpa370NAgAAAAAqJcIRVAipGVn65Od9Rm1Iu/qqEx6Uf/CSKeZ2YLjUc4wbuwMAAAAAVGaEI6gQ5m88pONJ6Ubtrl6N8w/cu0raucis9fiXFFLdjd0BAAAAACozwhGUO8uy9MHKP41az2Y11ape+PkDpcWTzVpobanbP93bIAAAAACgUiMcQbn7ec9xbTuSaNTu6BmVf+D276QDcWat93gpINR9zQEAAAAAKj3CEZS7Gav2GtuNa4aqT3Rtc1B2lhT7tFmrFiV1GOHW3gAAAAAAlR/hCMrVvuNJWrz1qFEb2SNKdrvNHLjpC+nYVrMW84TkCHBzhwAAAACAyo5wBOXqw9V7ZVm521WCHBraIdIclJkmLX3OrNVpK7UZ6v4GAQAAAACVHuEIyk1iaoa+/PWAUbuxcwOFBjrMgb9+IJ3eb9b6T5LsLF8AAAAAwIXj2yXKzRe/HtDZtEzntt0m3dY9yhyUlij99JJZa9RDatbf/Q0CAAAAAHwC4QjKRVa2pQ9Xm6/vHXhxXTWoHmIO/PkNKfm4Wes3SbKd90wSAAAAAADKiHAE5SJ261HFn0gxanf0bGwOSkqQVr9u1loMkhp2dXN3AAAAAABfQjiCcvHBKvOqkbb1q6pTo2rmoBXTpPSzeQo2qe9E9zcHAAAAAPAphCPwuD8OndaaPSeM2sgeUbLlvVXm1H5p7XRzYrubpDqtPdAhAAAAAMCXEI7A42as2mts16oSqKsuqWcOWvq8lJWeu+0XIPV5zP3NAQAAAAB8DuEIPOpYYprmbzhk1G7t1kiBDr/cwtEt0saZ5sROd0rVGnmgQwAAAACAryEcgUd99ss+pWdlO7cDHHbd3LWhOWjJM5Ks3O2AMKnXWM80CAAAAADwOYQj8Ji0zCx9uma/Ubvm0otUMywwtxAfJ21fYE7sfr8UVssDHQIAAAAAfBHhCDzm242HlXA2zaiN7JHn9b2WJS2ebE4KqSF1H+3+5gAAAAAAPotwBB5hWVa+1/d2b1JDreqF5xZ2xUr7VpkTL39ECgoXAAAAAADuQjgCj4j784T+OHTGqN3RM89VI9nZ+a8aqdpA6nSH+5sDAAAAAPg0whF4xPlXjTSqEaK+LWvnFv6YIx3dbE6KmSA5AgUAAAAAgDsRjsDt4k8k68ctR43a7ZdFyc9uy9nITJeWTDEn1WopXTLMQx0CAAAAAHwZ4Qjc7rNf9is7z5t5wwIduq5jZG5h/cfSyb3mpH5PSnY/j/QHAAAAAPBthCNwq9SMLM1ea76+97qOkaoS5J+zkZ4kLZ9qTorsIrUY5KEOAQAAAAC+jnAEbvXNxkM6mZxh1G7t3ih345e3pbPmLTfqP1my2dzfHAAAAAAAIhyBG1mWpY9+3mvUejWvqaa1wnI2kk9IK18zJzUbIEX18EyDAAAAAACIcARu9Nv+U/r9oPn63hHdo3I3Vr4qpZ02J/V70v2NAQAAAACQB+EI3Obj864aiawWrJhzr+89fVCKe9ec0OY6qd4lnmkOAAAAAID/IRyBW/yVmKqFmw8btVu7Ncp9fe/yF6XM1NyddocUM8GDHQIAAAAAkINwBG4xKy5eGVm57+8NdNh1Q6cGORsJO6X1n5oTOoyQajT1YIcAAAAAAOQgHIHLZWRl67Nf9hm1qy+9SNVCA3I2ljwjWVm5O/1DpN7jPdghAAAAAAC5CEfgcov+OKqjZ9KM2m3nHsR68Ddpy1xzQrd/SlXqeqQ3AAAAAADORzgClzv/9b0dG1VTm/pVczZinzIHB0VIlz3okb4AAAAAACgI4QhcauvhM4r784RRu617o5wPu5dKe5aZE3qNkYIjPNIbAAAAAAAFIRyBS53/+t6aYYG6sk09ybLyXzVSpZ7UZZTnmgMAAAAAoACEI3CZ08kZ+nr9QaN2c9eGCnDYpa3zpUPrzQl9HpP8gz3YIQAAAAAA+RGOwGW+XBev1Ixs57bDbtPwrg2lrEwpdoo5uEYz6dJbPNwhAAAAAAD5EY7AJbKzLX38s/n63r+1qas64UHShs+k4zvNCX0nSn4OD3YIAAAAAEDBCEfgEst3HNP+E8lGbcRlUVJGirTsBXNwvUul1ld7rDcAAAAAAIpCOAKXOP/1va3qhatTo2pS3HtS4iFzcP/Jks3msd4AAAAAACgK4Qgu2J8JSVq2/ZhRG9G9kWypp6UV08zBjXtLTWM82B0AAAAAAEUjHMEF++S8Z42EBzl09aX1pdWvS6mnzMH9J3muMQAAAAAASoBwBBckOT1TX66LN2rDOjdQcFqCtOZNc3Drq6X6HT3YHQAAAAAAxSMcwQWZv+GQElMznds2m3RLt0bST1OljDwPaLX55byhBgAAAACACoZwBGVmWZY+/cW8paZPdC01sh2V1n1oDm4/XKrZ3HPNAQAAAABQQoQjKLNNB07r94NnjNot3RpJS5+TsnOvJpFfoNT7MQ93BwAAAABAyRCOoMw+XWNeNVI/Ilh9qh6RNn9pDuw6Sqpa34OdAQAAAABQco7ybgDe6XRyhr7ZdMio3dSlgfyWTjAHBlaVeo7xYGcAAAAAAJQOV46gTP772wGlZmQ7tx12m4bXOyDtXGQO7PGgFFLdw90BAAAAAFByXDmCUrMsS5+d9yDWga3rqNqq854rElpb6vZPD3YGAAAAAEDpceUISm3NnhPafSzJqN1ff6d0IM4c2Hu8FBDqwc4AAAAAACg9whGU2vlXjTSrGaSWW/5tDqoWJXUY4bGeAAAAAAAoK8IRlMqxxDT98McRozax4R+yHdtqDox5QnIEeLAzAAAAAADKhnAEpfLFr/HKyLKc22GOLPU68K45qE5bqc1QD3cGAAAAAEDZEI6gxLKyLX3+y36j9kzkWtnPxJsD+0+S7CwtAAAAAIB34BssSuynHcd08FSKcztUKbrq1GfmoEY9pGb9PdwZAAAAAABlRziCEvt0jfkg1serxco/9bg5qN8kyWbzYFcAAAAAAFwYwhGUyIGTyVqy/S/ndnWd0bD0ueagFoOkhl092xgAAAAAABeIcAQlMisuXlbuc1j1UOB8+Wcl5xlhk/pO9HhfAAAAAABcKMIRFCsjK1uz1uY+dLW+julm+4/moHY3SXVae7gzAAAAAAAuHOEIirXoj6NKOJvm3H7I8V85rIzcAX4BUp/HyqEzAAAAAAAuHOEIivXZL7kPYm1uO6ChjpXmgE53StUaebgrAAAAAABcg3AERdp97KxW7859I80jjtmyKzt3QECY1GtsOXQGAAAAAIBrEI6gSJ//st/5uYNth67wW2cO6H6/FFbLw10BAAAAAOA6hCMoVGpGlr5ad+B/W5Ye9Z9lDgipIXUf7fG+AAAAAABwJcIRFGrBpsM6nZLz4NXe9k3qat9mDrj8ESkovBw6AwAAAADAdQhHUKhZa3NuqbEpW486zrtqpGoDqdMd5dAVAAAAAACuRTiCAu36K1Fr956UJA22r1Fr+z5zQMwEyRFYDp0BAAAAAOBahCMo0Ky4eEmSvzI11vGFubNWS+mSYeXQFQAAAAAArkc4gnzSMrP0399yHsQ6zG+pGtn/Mgf0e1Ky+5VDZwAAAAAAuB7hCPJZ9MdRnUzOULBS9aDja3NnZBepxaDyaQwAAAAAADcgHEE+5x7EOtLvB9W2nTJ39p8s2Wwe7wkAAAAAAHchHIFh3/Ekrdp1XFV1Vvc6vjF3NhsgRfUon8YAAAAAAHATwhEYZq3NeRDrPx3zFW5LNnf2e7IcOgIAAAAAwL0IR+CUkZWtL389oLo6rtv9fjB3trlOqndJ+TQGAAAAAIAbEY7AKXbrX0o4m6YHHXMUZMvI3WF3SDETyq8xAAAAAADciHAETrPW7lcT2yHd4Lfc3NFhhFSjafk0BQAAAACAmznKuwFUDAdPpWj5jmN63fGlHLbs3B3+IVLv8eXXGAAAAAAAbsaVI5AkfbE2Xm20R3/3+8Xc0e2fUpW65dMUAAAAAAAe4LFwZP/+/Ro3bpxatWql0NBQVa9eXV26dNHLL7+s5OTk4g9QQrNmzdLAgQNVr149BQUFKSoqSrfeeqvWrFnjsnNUNlnZlr78NV7jHbPMHUER0mUPlktPAAAAAAB4ikduq1mwYIGGDx+u06dPO2vJyclau3at1q5dq+nTp2vhwoVq0qRJmc+Rmpqq66+/Xt9++61R37dvn/bt26fPP/9ckydP1sSJE8t8jsrqpx3H1DhxrXoF/G7u6DVGCo4ol54AAAAAAPAUt185snHjRt1www06ffq0wsLC9Oyzz2r16tWKjY3V3XffLUnavn27rrrqKp09e7bM57nzzjudwUhMTIzmzp2ruLg4vf/++2ratKmys7P15JNPavr06S75uSqTmb/s03jHbLNY5SKpy6jyaQgAAAAAAA9y+5UjDz30kJKTk+VwOLRo0SJ1797dua9v375q3ry5xo8fr23btumVV17Rk08+WepzLF++XJ9//rkkafDgwfr666/l5+cnSercubOGDBmijh07av/+/Ro/fryuu+46RUREuOTn83Z/nUmVY8e3aue/x9zR5zHJP7h8mgIAAAAAwIPceuXI2rVrtWzZMkk5V3bkDUbOGTt2rFq1aiVJ+ve//62MjIxSn2fq1KmSJD8/P7355pvOYOScmjVr6sUXX5QknTx5Uu+//36pz1FZfbV2j8b5zTRq2dWbSpcOL6eOAAAAAADwLLeGI3PnznV+HjlyZMEN2O267bbbJOUEF+fClJI6e/asYmNjJUkDBgxQZGRkgeP+8Y9/KDw8XJI0Z86cUp2jUjqyWdace3TXil5qYj9q7LL3e1Ly4y3PAAAAAADf4NZwZMWKFZKk0NBQdezYsdBxvXv3dn5euXJlqc4RFxentLS0fMc5X0BAgLp16+acU5YrVCqNzV9J7/aRbdMsBSjT2GVJUpYP/94AAAAAAHyOW8ORrVu3SpKaNWsmh6PwKxFatmyZb05pz3H+cYo6T2Zmpnbu3Fmq81QaRzZLX98jZWcWuNsmSXPvzRkHAAAAAIAPcNu9E6mpqUpISJCkQm91OadatWoKDQ1VUlKS4uPjS3WevOOLO0+DBg2Mea1bty7xeQ4cOFDk/sOHD5f4WOXq5zcKDUacsjOln9+Urn3LMz0BAAAAAFCO3BaOJCYmOj+HhYUVO/5cOFLa1/mW5jyhoaHOz6U9T95gxWtlZ0tb5pVs7Ja50tVvSHa3v+0ZAAAAAIBy5bZvvqmpqc7PAQEBxY4PDAyUJKWkpLjtPOfOUZbzVAqZKVJGcsnGZiTnjAcAAAAAoJJz25UjQUFBzs/p6enFjj/3UNXg4GC3nefcOcpynuJu9zl8+LC6dOlSqmN6nCNY8g8pWUDiH5IzHgAAAACASs5t4UiVKlWcn0tyC0tSUpKkkt2CU9bznDtHWc5T3PNMvILdLrW+Wto4s/ixra/hlhoAAAAAgE9w27ffoKAg1axZU1LxDzM9efKkM7go7bM98oYWxZ0n79UfleIZImXRfbRkLyYTszuk7vd5ph8AAAAAAMqZWy8NaNWqlSRp165dysws/A0p27ZtyzenpPK+cSbvcYo6j8PhULNmzUp1nkqjblvp2ncKD0jsjpz9ddt6ti8AAAAAAMqJW8ORnj17Ssq5nWXdunWFjlu+fLnzc48ePUp1js6dOzsfxJr3OOdLT0/XmjVr8s3xSW2vk0Ytk9rdnPNsESnnf9vdnFNve115dgcAAAAAgEe5NRy55pprnJ9nzJhR4Jjs7Gx9/PHHkqSIiAjFxMSU6hxVqlRRv379JEmLFy8u9NaaOXPm6MyZM5Kka6+9tlTnqJTqtpWufUt6/KA04VDO/177FleMAAAAAAB8jlvDkS5duqhXr16SpPfff18///xzvjHTpk3T1q1bJUn/+te/5O/vb+z/8MMPZbPZZLPZNHny5ALPM27cOElSZmamRo8eraysLGN/QkKCHn30UUk5Acxdd911QT9XpWK3SwGhPHwVAAAAAOCz3P6N+LXXXlNwcLAyMzN1xRVX6Pnnn9eaNWu0dOlS3XPPPRo/frwkKTo6WmPHji3TOfr27asbb7xRkjR//nwNGDBA8+fP16+//qoZM2aoW7du2r9/vyTphRdeULVq1VzzwwEAAAAAAK/ntlf5ntO+fXvNnj1bt9xyi86cOaMJEybkGxMdHa0FCxYYr+UtrQ8++EBnzpzRwoULtXTpUi1dutTYb7fbNXHiRN1zzz1lPgcAAAAAAKh8PHIvxeDBg7Vp0yY9/PDDio6OVkhIiCIiItSpUye9+OKLWr9+/QW/PSY4OFgLFizQZ599pgEDBqh27doKCAhQgwYNdPPNN2vlypWF3pYDAAAAAAB8l82yLKu8m6gMDhw4oAYNGkiS4uPjFRkZWc4dAQAAAABQ+bjj+zdP4QQAAAAAAD6NcAQAAAAAAPg0whEAAAAAAODTCEcAAAAAAIBPIxwBAAAAAAA+jXAEAAAAAAD4NMIRAAAAAADg0whHAAAAAACATyMcAQAAAAAAPo1wBAAAAAAA+DTCEQAAAAAA4NMIRwAAAAAAgE8jHAEAAAAAAD6NcAQAAAAAAPg0whEAAAAAAODTCEcAAAAAAIBPIxwBAAAAAAA+jXAEAAAAAAD4NMIRAAAAAADg0xzl3UBlkZmZ6fx8+PDhcuwEAAAAAIDKK+937rzfxS8E4YiLHDt2zPm5S5cu5dgJAAAAAAC+4dixY4qKirrg43BbDQAAAAAA8Gk2y7Ks8m6iMkhNTdXmzZslSbVq1ZLDUfEvyjl8+LDzKpe4uDjVq1evnDsCyo71jMqE9YzKhjWNyoT1jMrEW9dzZmam8+6Ntm3bKigo6IKPWfG/wXuJoKAgde7cubzbKLN69eopMjKyvNsAXIL1jMqE9YzKhjWNyoT1jMrE29azK26lyYvbagAAAAAAgE8jHAEAAAAAAD6NcAQAAAAAAPg0whEAAAAAAODTCEcAAAAAAIBPIxwBAAAAAAA+jXAEAAAAAAD4NJtlWVZ5NwEAAAAAAFBeuHIEAAAAAAD4NMIRAAAAAADg0whHAAAAAACATyMcAQAAAAAAPo1wBAAAAAAA+DTCEQAAAAAA4NMIRwAAAAAAgE8jHAEAAAAAAD6NcAQAAAAAAPg0whEAAAAAAODTCEcquP3792vcuHFq1aqVQkNDVb16dXXp0kUvv/yykpOTXXaeWbNmaeDAgapXr56CgoIUFRWlW2+9VWvWrCnxMY4fP65JkyapXbt2qlq1qsLDw9WuXTtNmjRJx48fd1mv8F7esJ63b9+uV199Vddcc40aN26s4OBghYSEqHHjxho2bJgWLFggy7Jc1iu8lzes58K8+eabstlszl8ffvihy/qF9/K2NZ2UlKQ33nhD/fr1U/369RUYGKg6deqoQ4cOeuCBB7Ro0SKX9Qzv4y3r2bIsffnll7rmmmvUoEEDBQUFKSQkRE2aNNGNN96oH374wWW9wnu5cz1nZmZq/fr1euedd3TXXXfpkksukcPhcP4bYe/evaU6nld/J7RQYX377bdW1apVLUkF/mrRooW1e/fuCzpHSkqK9fe//73Qc9jtduvpp58u9jhxcXFWvXr1Cj3ORRddZK1du/aCeoV384b1fNtttxU6N++vgQMHWidPnrygXuHdvGE9F+bgwYNWeHi4cawZM2ZcUK/wft62ppcsWWI1atSoyL+r27Vrd0H9wnt5y3o+deqU1adPn2L/3TFs2DArLS3tgvqF93L3ep48eXKR6+/PP/8s8bG8/Tsh4UgFtWHDBiskJMSSZIWFhVnPPvustXr1ais2Nta6++67nQusZcuWVmJiYpnPc/PNNzuPFRMTY82dO9eKi4uz3n//fatp06bOfe+9916hxzhw4IBVp04dS5LlcDis8ePHWz/99JP1008/WePHj7ccDoclyapTp4514MCBMvcK7+Ut67lfv36WJKt69erWqFGjrM8//9xavXq1FRcXZ73zzjtWixYtnMfo2bOnlZWVVeZe4b28ZT0X5tprr7UkWbVr1yYcgWVZ3remf/zxRysoKMiSZFWpUsUaO3astXDhQmvdunXW999/b7399tvW1VdfbXXr1q3MvcJ7edN6vvLKK53jGjdubL355pvWihUrrCVLllgvvfSSVbNmTef+++67r8y9wnt5Yj1PmjTJeZygoCCrW7duxhouaThSGb4TEo5UUOdSZIfDYa1evTrf/qlTpzoX7FNPPVWmcyxbtsx5jMGDB1uZmZnG/mPHjlkNGza0JFnVqlUr9L+UjxgxwnmcL774It/+L774wrl/5MiRZeoV3s1b1vOIESOsd955x0pNTS3wHElJSVbPnj2d5/n444/L1Cu8m7es54LMnTvXkmTVqlXLmjZtGuEILMvyrjX9119/WTVq1LAkWa1atbLi4+MLPSf/pd03ect6/vXXX53HaNKkiXXmzJl8Y/bt22dFREQ4r0T566+/ytQvvJcn1vO5UHndunVWRkaGZVnm97uShiOV4Tsh4UgFFBcX51w499xzT4FjsrKyrFatWjn/0k1PTy/1eQYNGmRJsvz8/Ar9x8XMmTOdvbz88sv59h85csTy8/OzpJxbDQozcOBA57mOHDlS6l7hvbxpPZfE5s2bnccYMmRImY4B7+XN6/nMmTNWZGSkJcn66KOPrBkzZhCOwOvW9J133mlJsgIDA61t27aVug9Ubt60nl977TXn/v/7v/8r9FwPP/ywc9w333xT6l7hvTy1ngtS2nCksnwn5IGsFdDcuXOdn0eOHFngGLvdrttuu02SdPLkSS1btqxU5zh79qxiY2MlSQMGDFBkZGSB4/7xj38oPDxckjRnzpx8++fPn6+srKwie5Wk22+/XZKUlZWl+fPnl6pXeDdvWs8l0aZNG9WsWVOStHv37jIdA97Lm9fz448/rgMHDqhPnz7O/gBvWtOnTp3S559/Lkm66aab1KJFi1L1gcrPm9Zzenq683OTJk0KPV/Tpk2dn9PS0krVK7ybJ9azq1SW74SEIxXQihUrJEmhoaHq2LFjoeN69+7t/Lxy5cpSnSMuLs75F2ze45wvICBA3bp1c87JyMgosNfijnMhvcK7edN6Lqlz/6Cx2/kr1Nd463r+5Zdf9NZbbykgIEBvvfVWqfpB5eZNa/qbb75RSkqKJOn666931hMTE7Vz50799ddfpeoLlY83refo6Gjn5z179hR6nLz/ISbvHFR+nljPrlJZvhPyL/sKaOvWrZKkZs2ayeFwFDquZcuW+eaU9hznH6eo82RmZmrnzp0FHqdq1aqqW7duoceoV6+eMz0vba/wbt60nkti/fr1OnPmTInOhcrHG9dzRkaG7r77bmVnZ+uRRx5h3cLgTWs676tRu3fvru+//149evRQeHi4oqOjVadOHV100UUaM2aMEhISStUjKgdvWs8DBw5UVFSUJOm1115TUlJSvvkHDhxwvmq9e/fuatu2bal6hXfzxHp2lcrynZBwpIJJTU11/h96YZfpnVOtWjWFhoZKkuLj40t1nrzjiztPgwYNCpyXd7u4Y+Q9Tml7hffytvVcEs8995zz8w033FDq+fBe3rqeX3rpJW3evFlNmjTR//t//69UvaBy87Y1vWXLFkk5//iePn26rrzySq1evdoYc/jwYb366qtq3769czx8g7et58DAQH322WeqXr26du/erXbt2umdd97RqlWrtGzZMk2bNk0dO3bUyZMnFRUVpRkzZpSqT3g3T61nV6ks3wkJRyqYxMRE5+ewsLBix5/7g3D27Fm3nefcOQo6z7njuLNXeC9vW8/F+e9//6uvvvpKktSxY0cNHTq0VPPh3bxxPe/atUtTpkyRJL3xxhsKDg4uVS+o3LxtTZ84cUKSlJKSokcffVSBgYF64YUXdODAAaWlpen333933nt/4MABXX311fybw4d423qWpMsuu0zr16/X2LFjtX//ft17773q2bOnYmJiNG7cOCUnJ+upp57S2rVrecaOj/HUenaVyvKdkHCkgklNTXV+DggIKHZ8YGCgJDnvwXXHec6do6DznDuOO3uF9/K29VyUbdu2OR8wFRwcrI8//lg2m61UfcK7eeN6vvfee5Wamqrrr79ef/vb30rVByo/b1vT5247SE9Pl2VZ+uSTT/Too4+qfv36CggI0MUXX6yPPvpIo0aNkpQTDr799tul6hXey9vWsyRZlqWvvvpKX331VYHPjTp79qxmzZqlBQsWlKpHeD9PrWdXqSzfCQlHKpigoCDn57xPsS7MuQdClfa/BpbmPHmfjH3+ec4dx529wnt523ouzKFDh3TllVcqMTFRNptN77//vlq3bl2qHuH9vG09f/jhh4qNjVV4eLj+/e9/l6oH+AZvW9N5j9OtWzfjoax5Pffcc85/fM+cObNUvcJ7edt6zs7O1rBhwzR27Fjt27dPd955p3777TelpKTo7NmzWrlypYYMGaKtW7fq9ttv19ixY0vVJ7ybp9azq1SW74SEIxVMlSpVnJ9LcqnRuf+KUpJLmMp6nrwPiDr/POeO485e4b28bT0X5MSJE7riiiu0d+9eSTkPTbvppptK1R8qB29az8eOHdO4ceMkSVOmTNFFF11Uqh7gG7xpTZ9/nCuvvLLQY9SoUUOdOnWSJG3cuLHMbyaDd/G29fzmm2/qyy+/lCRNnjxZ06dPV/v27RUUFKTQ0FD16NFD8+bN06233ipJeuWVV7iCxId4aj27SmX5Tkg4UsEEBQWpZs2aknLuly3KyZMnnYsr7wOfSiLvw3KKO0/eh+Wcf55zxynuGHmPU9pe4b28bT2fLzExUX/729/0xx9/SMr5kvnAAw+UqjdUHt60nqdPn67jx48rIiJCNWrU0KxZs/L9+uWXX5zjf/nlF2ed16H6Dm9a0+dvl/RBmFlZWTp+/HiJe4X38rb1/P7770vK+VL52GOPFXqMvA+Cnz59eql6hffy1Hp2lcrynZBwpAJq1aqVpJx7ZTMzMwsdt23btnxzSirvLQF5j1PUeRwOh5o1a1bgcU6fPq0jR44UeozDhw87X39a2l7h3bxpPeeVkpKiwYMHa+3atZKkRx55RE888USp+kLl4y3r+dwlq6dOndItt9yim266Kd+vvM9iePvtt5113vDhW7xlTUvSxRdf7PyclZVV5HHy7i/qFZioXLxpPZ97jWnr1q2NZ5OcLzIyUnXq1CnR+VC5eGI9u0pl+U5IOFIB9ezZU1LOJUfr1q0rdNzy5cudn3v06FGqc3Tu3Nn5wJy8xzlfenq61qxZk2/O+b0Wd5wL6RXezZvW8zkZGRkaOnSo81j33nuvpk6dWqqeUDl543oGiuJNa/ryyy93ft69e3eR5zy3Pzg4WNWrVy9Vv/Be3rSez4V2RX3pPefcrWEEfb7FE+vZVSrNd0ILFc4vv/xiSbIkWffcc0+BY7KysqxWrVpZkqyIiAgrPT291Oe58sorLUmWw+Gw4uPjCxwzc+ZMZy9Tp07Nt//w4cOW3W63JFkDBw4s9FwDBw60JFl2u906fPhwqXuF9/Km9WxZlpWZmWldd911znG33nqrlZ2dXep+UDl523ouyowZM5zzZ8yYUer5qBy8aU1nZmZatWrVsiRZLVq0KPTv5j179jj/bdKvX79S9wrv5U3ruU2bNpYkKzAw0Dp58mSh59q8ebPzOIMHDy51r/BenlrPBRkxYoTz3H/++Wex4yvLd0LCkQqqV69ezr90V69enW//1KlTnQt20qRJ+fbn/UdvQfsty7JiY2OdY4YMGWJlZmYa+48dO2Y1bNjQ+YftxIkTBR7n1ltvdR7nyy+/zLf/iy++cO4fMWJEsT87Kh9vWc/Z2dnWyJEjnccZOnRovuMA3rKei0M4gnO8aU2/+OKLzuM8//zz+fanp6dbf/vb34r8dwkqN29Zz48//rjzGCNHjiww7EtJSbFiYmKc4955552S/Sag0vDEei5IacMRy6oc3wkJRyqo3377zQoODrYkWWFhYdZzzz1n/fzzz9aSJUusUaNGORdWdHS0debMmXzzS/oH4cYbb3SOi4mJsebNm2etXbvW+uCDD6ymTZs697399tuFHmP//v3O/5LjcDisRx991FqxYoW1YsUK69FHH7UcDoclyapVq1ah6ToqN29Zz2PGjHGOadOmjbVu3Tpr8+bNRf6C7/GW9VwcwhGc401rOiUlxerQoYNz7C233GJ9//331rp166zZs2dbXbt2de4bNGgQV/75IG9Zz8eOHbNq167tHNezZ0/r008/tX799Vfrl19+sd5++22rdevWzv2tWrWy0tLSXPXbBC/hifWcmJhozZgxw/jVo0cP57yXXnrJ2Ld+/foCj1MZvhMSjlRg8+fPt8LDw50L8/xf0dHR1s6dOwucW9K/2JOTk61BgwYVeg673V6ilHHNmjVW3bp1Cz1O3bp1rTVr1pTxdwKVgTes50aNGhU6t7Bf8E3esJ6LQziCvLxpTR86dMjq2LFjkX83Dxo0qMAvCvAN3rKe169fbzVu3LjYf2tceuml1t69ey/gdwTezN3r+c8//yzVv32LWtfe/p2QB7JWYIMHD9amTZv08MMPKzo6WiEhIYqIiFCnTp304osvav369UW+baMkgoODtWDBAn322WcaMGCAateurYCAADVo0EA333yzVq5cqcmTJxd7nK5du2rz5s164okn1KZNG4WFhSksLExt27bVE088od9//11du3a9oF7h3bxpPQPFYT2jsvGmNV2vXj2tWbNGb7/9tnr37q1atWrJ399fdevW1ZAhQzRnzhwtWLBAVapUuaB+4b28ZT1feuml2rx5s9544w1dccUVqlu3rgICAhQYGKgGDRpoyJAh+uSTTxQXF6dGjRpdUL/wXp5Yz67i7d8JbZZlWeXdBAAAAAAAQHnhyhEAAAAAAODTCEcAAAAAAIBPIxwBAAAAAAA+jXAEAAAAAAD4NMIRAAAAAADg0whHAAAAAACATyMcAQAAAAAAPo1wBAAAAAAA+DTCEQAAAAAA4NMIRwAAAAAAgE8jHAEAAAAAAD6NcAQAAAAAAPg0whEAAAAAAODTCEcAAAAAAIBPIxwBAAAAAAA+jXAEAAAAAAD4NMIRAAAAAADg0whHAACAW02ePFk2m002m628WykXO3fuVGBgoAIDA7V//36XHXfq1Kmy2Wzq06ePy44JAICvIhwBAABwo7Fjxyo9PV0jR45Uw4YNXXbc0aNHq2bNmlq+fLn++9//uuy4AAD4IsIRAABQah9++KHzapC9e/eWdzsV1po1a/TNN9/I399fEyZMcOmxQ0ND9fDDD0uSJk6cqOzsbJceHwAAX0I4AgAA3Gry5MmyLEuWZZV3Kx43ZcoUSdL111/v0qtGzhk9erSCgoK0detWrh4BAOACEI4AAAC4wY4dO/Tdd99Jkm655Ra3nKNq1aoaNGiQJOm1115zyzkAAPAFhCMAAABu8MEHH8iyLNWuXVsDBgxw23mGDx8uSVq1apW2b9/utvMAAFCZEY4AAIASW7ZsmWw2m0aOHOmsNW7c2Pn8kXO/li1b5txf3NtqoqKiZLPZdPvtt0uSfvvtNw0fPlwNGjRQcHCwmjVrpjFjxighIcGYt3r1auftKkFBQWratKkeffRRJSYmFvtzWJalr776SkOHDlWDBg0UFBSkatWqqUuXLpoyZYpOnTpV6t+b833xxReSpKuvvloOh6PIsUuWLNFNN92kxo0bKzg4WCEhIYqKilK3bt00btw4LVmypNC5V111lYKCgiRJs2fPvuC+AQDwRTbLF28ABgAAZbJs2TLFxMQUO27p0qXOV8xOnjxZTz31lCQV+NyRqKgo7du3TyNGjFC/fv101113KT09Pd+46OhoLV++XHXr1tXLL7+s8ePHF3i8Dh06aPny5QoLCyuwt2PHjunaa6/VqlWrCu2/Tp06mjdvnrp27Vrsz1qQffv2KSoqSpL0/vvv64477ih07JgxY/Tqq68WebwaNWrkC4fy6t69u9asWaOYmJgigxQAAFAwrhwBAAAl1rlzZ23evFnPPPOMs/bDDz9o8+bNxq/OnTuX+tgbN27UXXfdpWbNmumDDz7Q2rVrtWTJEufzOnbs2KFx48bp66+/1iOPPKKuXbvqs88+06+//qrvv//e+eyN3377zegvr6SkJPXu3VurVq1SQECA7rnnHs2bN0+//fabVqxYoWeffVY1atTQ0aNHdeWVV2rfvn1l+F2SVqxY4fxc1O/Ft99+6wxGLrnkEr311ltatmyZ1q9fr2XLluntt9/W0KFDFRgYWOT5unTpIinn7TgZGRll6hkAAF9W9DWeAAAAeYSGhqpNmzb69ddfnbXo6GjnVRIXYsOGDbrsssv0448/KiQkxFmPiYlRWlqavvzyS82aNUvfffedhg4dqtmzZ8vPz885rn///urZs6fWrFmj6dOn65lnnsl3O8tjjz2mrVu3qmrVqlq8eLE6depk7O/Zs6eGDx+u7t276/Dhw3riiSf0ySeflPpnWb16tSQpICBArVu3LnTcuVtvGjVqpFWrVuW72qV379665557dOLEiSLP17FjR0lSSkqKNmzYUKZwCgAAX8aVIwAAoMKYPn26EYycc99990mSsrKylJqaqnfffdcIRiTJz89Po0aNkiQdP35cW7ZsMfYnJCRo+vTpkqSnn346XzByTqNGjTRx4kRJOc/wSE5OLvXPceDAAUk5t8Oc32deR44ckZRzK1BhtwFJUvXq1Ys8X+3atfOdGwAAlBzhCAAAqBDatWunVq1aFbjvkksucX4eMGBAoWFBu3btnJ/37Nlj7Pvhhx+UmpoqSbrhhhuK7OXyyy+XJGVkZGjdunXFN3+eY8eOSZKqVatW5Lh69epJkn766Sft3r271Oc5J+/vx7lzAwCAkiMcAQAAFUJ0dHSh+yIiIko97vy31uS9FahevXr53rCT91ebNm2cY89d3VEa526DKS4cue222yTlXOnSpk0b3XjjjZoxY4Z27dpVqvPlPc/x48dL2S0AACAcAQAAFUJBt9OcY7fbSz0uKyvL2PfXX3+Vqa+y3FZz7tW6KSkpRY7r16+f/vOf/yg4OFipqamaPXu27rjjDjVv3lyRkZG69957tXHjxmLPl/c8wcHBpe4XAABfxwNZAQCATzgXlgQEBJTqVpnIyMhSn6tWrVqSVOyDVCVp9OjRuv766/X555/rxx9/1KpVq3T69GkdPHhQ77zzjt59911NmDCh0DfwnH+ec+cGAAAlRzgCAAB8Qo0aNSRJ6enpqlGjhvN5H+5wLqA4efJkicbXrl1bDz30kB566CFlZ2drw4YNmjNnjt544w2dOnVKzz77rDp37qyrr766wPl5z0M4AgBA6XFbDQAAKDWbzVbeLZRa+/btnZ8XLVrk1nO1bdtWknT69OlS385jt9vVoUMHPfPMM4qNjXXWz732tyA7duzId24AAFByhCMAAKDUzj1TQ5LS0tLKsZOSu/LKK+Xv7y9JevXVV5WZmem2c/Xq1cv5ee3atWU+TocOHZwPW01ISCh03LlzNG3a1K1XxAAAUFkRjgAAgFLL+wX8Ql5B60n169fXyJEjJUkbN27UPffcU2RA8tdff2n69OllOleXLl0UGBgoSYqLiyt03OzZs4t8aOuvv/7qvGWmcePGhY47d468oQwAACg5njkCAABKrX379goKClJqaqomTpwoh8OhqKgo59ti6tevXyHfmjJt2jStXr1av//+uz744AOtWbNGo0aNUseOHRUWFqZTp07pjz/+0OLFi7Vw4UK1bdtWd911V6nPExgYqH79+mnhwoWKjY3VU089VeC4Rx99VPfee6+uvvpqXX755YqOjlZoaKiOHz+ulStX6vXXX5ck+fn56e677y7wGDt37lR8fLwk6aqrrip1rwAAgHAEAACUQZUqVfTggw9q6tSp+u233zRw4EBj/9KlS9WnT5/yaa4IYWFhWr58uYYPH67vv/9eW7Zs0UMPPVTo+PDw8DKf69Zbb9XChQu1evVq7d27V1FRUQWOO3XqlD766CN99NFHBe4PCgrSO++8o44dOxa4//PPP5ckVa1aVX//+9/L3C8AAL6M22oAAECZvPDCC3rvvffUq1cvVa9eXX5+fuXdUolUr15d3333nWJjYzVy5Eg1b95cYWFhcjgcql69ujp37qzRo0dr4cKF+vHHH8t8nn/84x+qW7euLMvSzJkzCxzz008/afr06Ro2bJjatm2rWrVqyeFwKDw8XB06dNAjjzyiLVu26Lbbbiv0POeOfccddxjPggEAACVnsyzLKu8mAAAAKqMXXnhBjz/+uJo3b65t27Y5bztylZUrV6pXr17y9/fXjh07Cr06BQAAFI0rRwAAANzk/vvvV61atbRz507Nnj3b5cefMmWKJGnkyJEEIwAAXACuHAEAAHCjt956S/fdd59atWql33//3WVXj8TFxalr164KCwvTjh07eIUvAAAXgAeyAgAAuNGoUaN06tQppaWl6dChQ4qMjHTJcRMSEjRp0iR16NCBYAQAgAvElSMAAAAAAMCn8cwRAAAAAADg0whHAAAAAACATyMcAQAAAAAAPo1wBAAAAAAA+DTCEQAAAAAA4NMIRwAAAAAAgE8jHAEAAAAAAD6NcAQAAAAAAPg0whEAAAAAAODTCEcAAAAAAIBPIxwBAAAAAAA+jXAEAAAAAAD4NMIRAAAAAADg0whHAAAAAACATyMcAQAAAAAAPo1wBAAAAAAA+DTCEQAAAAAA4NMIRwAAAAAAgE8jHAEAAAAAAD6NcAQAAAAAAPi0/w9qb27anB7j9wAAAABJRU5ErkJggg==\n", + "image/png": 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", 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" ] @@ -211,7 +211,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", + "image/png": 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", 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\n", 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", 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" ] @@ -285,7 +285,8 @@ "\n", "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", "# system from r to y\n", - "Gyr_simulator = ct.interconnect((controller_simulator, plant_simulator, u_summer), inputs='r', outputs=['y', 'u'])\n", + "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer], \n", + " inputs='r', outputs=['y', 'u'])\n", "\n", "# simulate\n", "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", @@ -390,7 +391,7 @@ }, { "data": { - "image/png": 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\n", 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", 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" ] @@ -429,7 +430,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ "
" ] @@ -448,7 +449,7 @@ "plant_simulator = ct.ss(plant_simulator, inputs='ud', outputs='y')\n", "\n", "# system from r to y\n", - "Gyr_simulator = ct.interconnect((controller_simulator, plant_simulator, u_summer, delayer), \n", + "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer, delayer], \n", " inputs='r', outputs='y')\n", "\n", "# simulate\n", @@ -472,7 +473,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" ] @@ -520,7 +521,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -538,12 +539,12 @@ "# create zero-order hold approximation of plant2 dynamics\n", "def discrete_nonlinear_plant_dynamics(t, x, u, params):\n", " return x + simulation_dt * nonlinear_plant_dynamics(t, x, u, params)\n", - "nonlinear_plant_simulator = ct.NonlinearIOSystem(discrete_nonlinear_plant_dynamics, nonlinear_plant_output, \n", + "nonlinear_plant_simulator = ct.ss(discrete_nonlinear_plant_dynamics, nonlinear_plant_output, \n", " dt=simulation_dt,\n", " inputs='ud', outputs='y', states=1)\n", "\n", "# system from r to y\n", - "nonlinear_Gyr_simulator = ct.interconnect((controller_simulator, nonlinear_plant_simulator, u_summer, delayer), \n", + "nonlinear_Gyr_simulator = ct.interconnect([controller_simulator, nonlinear_plant_simulator, u_summer, delayer], \n", " inputs='r', outputs=['y', 'u'])\n", "\n", "# simulate\n", From f55ec01df4405f87339bbb4e65bdbe36404b810a Mon Sep 17 00:00:00 2001 From: Sawyer Fuller Date: Sun, 9 Apr 2023 16:30:04 -0700 Subject: [PATCH 3/5] fix link in examples.rst --- doc/examples.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/examples.rst b/doc/examples.rst index 1410407db..ef05d6d25 100644 --- a/doc/examples.rst +++ b/doc/examples.rst @@ -53,6 +53,6 @@ online sources. mpc_aircraft pvtol-lqr-nested pvtol-outputfbk - simulating_sampled_data_systems + interconnected_nonlinear_and_sampled_data_systems steering stochresp From 81197fdac80274e12bee7801826d09fd96850929 Mon Sep 17 00:00:00 2001 From: Sawyer Fuller Date: Mon, 10 Apr 2023 21:18:10 -0700 Subject: [PATCH 4/5] shorten long filename --- examples/simulating_discrete_nonlinear.ipynb | 585 +++++++++++++++++++ 1 file changed, 585 insertions(+) create mode 100644 examples/simulating_discrete_nonlinear.ipynb diff --git a/examples/simulating_discrete_nonlinear.ipynb b/examples/simulating_discrete_nonlinear.ipynb new file mode 100644 index 000000000..5c5306029 --- /dev/null +++ b/examples/simulating_discrete_nonlinear.ipynb @@ -0,0 +1,585 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e2b51597", + "metadata": {}, + "source": [ + "# simulating Simulink-like interconnections of systems including nonlinear and sampled-data systems \n", + "Sawyer B. Fuller 2023.03" + ] + }, + { + "attachments": { + "image-4.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "6934e483", + "metadata": {}, + "source": [ + "This example creates a precise simulation of a sampled-data control system consisting of discrete-time controller(s) and continuous-time plant dynamics like the following.\n", + "![image-4.png](attachment:image-4.png)" + ] + }, + { + "cell_type": "markdown", + "id": "02dab3bc", + "metadata": {}, + "source": [ + "In many cases, it is sufficient to use a discretized model of your plant using a zero-order-hold for control design because it is exact at the sampling instants. However, a more complete simulation of your sampled-data feedback control system may be desired if you want to additionally \n", + "\n", + "* observe behavior that occurs between sampling instants,\n", + "* model the effect of time delays,\n", + "* simulate your controller operating with a nonlinear plant, which may not have an exact zero-order-hold discretization\n", + "\n", + "Here, we include helper functions that can be used in conjunction with the Python Control Systems Library to create a simulation of such a closed-loop system, providing a Simulink-like interconnection system. \n", + "\n", + "Our approach is to discretize all of the constituent systems, including the plant and controller(s) with a much shorter time step `simulation_dt` that we specify. With this, behavior that occurs between the sampling instants of our discrete-time controller can be observed. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "5ffaa0e8", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np # arrays\n", + "import matplotlib.pyplot as plt # plots \n", + "%config InlineBackend.figure_format='retina' # high-res plots\n", + "\n", + "import control as ct # control systems library" + ] + }, + { + "cell_type": "markdown", + "id": "39555216", + "metadata": {}, + "source": [ + "We will assume the controller is a discrete-time system of the form\n", + "\n", + "$x[k+1] = f(x[k], u[k])$
$~~~~~~~y[k]=g(x[k],u[k])$ \n", + "\n", + "For this course we will primarily work with linear systems of the form \n", + "\n", + "$x[k+1] = Ax[k]+Bu[k]$
$~~~~~~~y[k]=Cx[k]+Du[k]$ \n", + "\n", + "The plant is assumed to be continuous-time, of the form \n", + "\n", + "$\\dot x = f(x(t), u(t))$,
$y = g(x(t), u(t))$\n", + "\n", + "For this course, we will design our controller using a linearized model of the plant given by \n", + "\n", + "$\\dot x = Ax + Bu$,
$y = Cx + Du$ " + ] + }, + { + "cell_type": "markdown", + "id": "36d410a9", + "metadata": {}, + "source": [ + "The first step to create our interconnected system is to create a discrete-time model of the plant, which uses the short time interval `simulation_dt`. Each subsystem gets signal names according to the diagram above, and we use `interconnect` to automatically connect signals of the same name. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "852cb7dd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 434, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# continuous-time plant model\n", + "plantcont = ct.tf(1, (0.03, 1), inputs='u', outputs='y')\n", + "t, y = ct.step_response(plantcont, 0.1)\n", + "plt.plot(t, y, label='continouous-time model')\n", + "\n", + "# create discrete-time simulation form assuming a zero-order hold\n", + "simulation_dt = 0.02 # time step for numerical simulation (\"numerical integration\")\n", + "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", + "\n", + "t, y = ct.step_response(plant_simulator, 0.1)\n", + "plt.plot(t, y, '.-', label='discrete-time model')\n", + "plt.legend()\n", + "plt.xlabel('time (s)');" + ] + }, + { + "cell_type": "markdown", + "id": "17955fa7", + "metadata": {}, + "source": [ + "Next we create a model of a sampled-data controller that operates as a nonlinear discrete-time system with a much shorter time step than the controller's sampling time `Ts`. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "654c2948", + "metadata": {}, + "outputs": [], + "source": [ + "def sampled_data_controller(controller, plant_dt): \n", + " \"\"\"\n", + " Create a (discrete-time, non-linear) system that models the behavior \n", + " of a digital controller. \n", + " \n", + " The system that is returned models the behavior of a sampled-data \n", + " controller, consisting of a sampler and a digital-to-analog converter. \n", + " The returned system is discrete-time, and its timebase `plant_dt` is \n", + " much smaller than the sampling interval of the controller, \n", + " `controller.dt`, to insure that continuous-time dynamics of the plant \n", + " are accurately simulated. This system must be interconnected\n", + " to a plant with the same dt. The controller's sampling period must be \n", + " greater than or equal to `plant_dt`, and an integral multiple of it. \n", + " The plant that is connected to it must be converted to a discrete-time \n", + " approximation with a sampling interval that is also `plant_dt`. A \n", + " controller that is a pure gain must have its `dt` specified (not None). \n", + " \"\"\"\n", + " assert ct.isdtime(controller, True), \"controller must be discrete-time\"\n", + " controller = ct.ss(controller) # convert to state-space if not already\n", + " # the following is used to ensure the number before '%' is a bit larger \n", + " one_plus_eps = 1 + np.finfo(float).eps \n", + " assert np.isclose(0, controller.dt*one_plus_eps % plant_dt), \\\n", + " \"plant_dt must be an integral multiple of the controller's dt\"\n", + " nsteps = int(round(controller.dt / plant_dt))\n", + " step = 0\n", + " def updatefunction(t, x, u, params): # update if it is time to sample \n", + " nonlocal step\n", + " if step == 0:\n", + " x = controller._rhs(t, x, u)\n", + " step += 1\n", + " if step == nsteps:\n", + " step = 0\n", + " return x\n", + " y = np.zeros((controller.noutputs, 1))\n", + " def outputfunction(t, x, u, params): # update if it is time to sample\n", + " nonlocal y\n", + " if step == 0: # last time updatefunction was called was a sample time\n", + " y = controller._out(t, x, u) \n", + " return y\n", + " return ct.ss(updatefunction, outputfunction, dt=plant_dt, \n", + " name=controller.name, inputs=controller.input_labels, \n", + " outputs=controller.output_labels, states=controller.state_labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "80836738", + "metadata": {}, + "outputs": [], + "source": [ + "# create discrete-time controller with some dynamics\n", + "controller_Ts = .1 # sampling interval of controller\n", + "controller = ct.tf(1, [1, -.9], controller_Ts, inputs='e', outputs='u')\n", + "\n", + "# create model of controller with a much shorter sampling time for simulation\n", + "controller_simulator = sampled_data_controller(controller, simulation_dt)" + ] + }, + { + "cell_type": "markdown", + "id": "30567aaa", + "metadata": {}, + "source": [ + "If the model is simulated with a short time step, its staircase output behavior can be observed. Because the controller model is nonlinear, we must use `ct.input_output_response`." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "39e9b769", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 414, + "width": 534 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "time = np.arange(0, 1.5, simulation_dt)\n", + "step_input = np.ones_like(time)\n", + "t, y = ct.input_output_response(controller_simulator, time, step_input)\n", + "plt.plot(t, y, '.-');" + ] + }, + { + "cell_type": "markdown", + "id": "1020f95a", + "metadata": {}, + "source": [ + "## simulating a closed-loop system\n", + "\n", + "Now we are able to construct a closed-loop simulation of the full sampled-data system. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "f8675193", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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AkPb6669Lkrp166apU6caXI3/EI4AAPyq+aqIGItZDQ6nmkcNVw1J1at3jFbcf469C5UmZt40cJWkmddmKfvpT7x+3S/2HNMXe461O6dxG86g1KRWV5CEQoAEAACi1/79+/XPf/5T0ulGrLGxsQZX5D/GvwsFAESMRXnFLVZd1DucLeZNyU7TS7eNVIw1NFtfNa4gef7W4W2GEQkxVsXbLD43cPXE7nRpbu4+zZ42ommMbTgAAMAoxcXFqq6u1r59+/TTn/5UDQ0NiouL08MPP2x0aX5FOAIA8IuCkoo2t6Oc7eohqXr5uyNltYRmMHK29lazNDZwXbCx2O/XXbCxSA0Oh8b066rKOrtmf7KTbTgAAMAQd9xxh1atWuU29uyzz6pPn8h6/0E4AgDwizm5e71qZJrSyRYWwYg3vGngajWb9NNJQ7Tj0Cn9c0ORV6/rkrR4c6kWby5td56nbTgAAAD+0qlTJ2VlZenhhx/WPffcY3Q5fhcZ704BAIZyOl1aln/Iq7lL8w9FzNG1jdtvrG30/2g8jnjGZZl67pbhiv9PfxV/atyGAwAAEAgrV66Uy+VSVVWVNm3aFJHBiEQ4AgDwg1q7w+veGzUNDtXa/dunw0hTR/bR4gdzdMvo9KbwI95m0S2j07X4wZymLS+N23ACYWl+acQETgAAAEZgWw0A4JzFWS2Ks5pVa2/ZfLW5eJtFcVb/r6AwkjcNXCXvtuFYzCb995WZOlhWrcVb2t9W06gxcAqF034AAADCEStHAADn7GRNgywW746WnZydFrHH0DY2cG3r5/NmG86L00bosWuH6PffHeX1NpxIDJwAAACCiXAEAHBOahsc+sFb61VV53mrjNVs0vSc/kGoKnQFYhtOJAdOAAAAwcD6WwBAhzmdLj3+/hatP3DC49zG5qScquLfbTgmSd/P6Re4YgEAAALI5QqNvmmsHAEAdNhLy3dq8eYSt7HuiTGakp3W7qoInHau23Ck08f+HqmoC1CFAACEFovl9PsLu90uhyNyGrxHK4fD0fTn2PhnaxRWjgAAOmT++kL9v093u40lxFj01vcv1rDeyXI6Xe2uioB3po7so0GpSZqbu09L80tbPRXo/1tSoJxB3WWz8J0HACCyderUSXV1p78UOHnypLp162ZwRTgXJ0+ebLrdqVMn4woRK0cAAB2wZneZZi3IdxuzmE364x2jm7bNeFoVAe81riDZ+sxEFTw7Ub+7dbjb43uOVmne2oMGVQcAQPCkpKQ03T5y5IiOHDmi2trakNmaAc9cLpdqa2ub/vwadenSxcCqWDkCAPBS40qQohPVeuCdDS36YDxzw/m6cnCqQdVFh8bA6dbR6Xrry/36prii6bEX/71TN4zso87xNgMrBAAgsOLi4tS5c2eVl5dLko4dO6Zjx47JZDIZvi0D3nE4HC3CrM6dOys2Ntagik4jHAEAtKugpEJzcvdqWf4h1TQ4ZNLpPhdn+8HlmbrzkvOMKC8qmc0mPTllmL772ldNYyeqG/THz3Zr1uShBlYGAEDgpaWlKSYmRkePHm0ac7lcstvtBlaFjurRo0dIbI8iHAEAtGlRXrFmzt/stkqkeTDy7fN76affHhLcwqBLMrtp4vk99fHWw01jb3yxT3dc3FfndUswsDIAAALLZDKpe/fuSk5OVmVlpaqqqlRfXy+n02l0afCC2WxWTEyMEhISlJiYqJiYGKNLkkQ4AgBoQ0FJRYtgpDUPXJFJXxGDPDFpqD7dfkQNjtN/Rg0Ol367bLv+dOeFBlcGAEDgxcTEqGvXruratavRpSAC0JAVANCqObl7PQYjkvTOVzQCNUq/7gm6Z1w/t7Fl3xzS2n3HjSkIAAAgTBGOAABacDpdWpZ/yKu5S/NL5fQiREFgPHTVIKV0cm/C+ssPC/gzAQAA8AHhCACghVq7QzUNDq/m1jQ4VGv3bi78r3Mnmx6+epDbWH5xuRbmFRtUEQAAQPghHAEAtBBntSje5t1xePE2i+KsHJ1npDsuOU+ZPdybsP7uox2qqSe0AgAA8AbhCACgBbPZpKyeiV7NnZydRkNWg9ksZv2s2RG+hypq9ZdVe1Rdb2eLDQAAgAecVgMAaGHX4VMqKK3wOM9qNml6Tv8gVARPrhqSqvEDu+mL3ceaxn6/Ypd+v2KX4m0WTcrupRk5mRrWO9nAKgEAAEITK0cAAG7q7A79ZF5e0/GwbbGaTZo9bQQftkOEyWTSk1OGtfpYTYNDCzYW64ZXcrWIXiQAAAAtsHIEAODmxU92tlg1MjA1QcUnalXT4FC8zaLJ2WmantOfYCTEuFySyXT6/7bG7nRp5vzNGpSaxJ8dAADAWQhHAABN1uwp02ur97qNZfVM1OIHcxRjMavW7lCc1UKPkRA1J3dvm8FII7vTpbm5+zR72ojgFAUAABAG2FYDAJAklVc3aOb8zW4frmMsZv3+tlGKs50ORDrFWAlGQpTT6dKy/ENezV2aX0qTVgAAgLMQjgAA5HK59LOF+Sotr3Ub/5+Jg9l+ESZq7Q7VNHh3dG9Ng0O1do75BQAAaEQ4AgDQwrxifbil1G3s0gHdOIkmjMRZLYq3WbyaG2+zKM7q3VwAAIBoQDgCAFGu8Hi1nlq41W2sc7xNs6eNYAtNGDGbTZqU3curuZOz0/izBQAAOAvhCABEKafTpVO1DXr0vTydqrO7Pfbrm7KV1jneoMrQUTNyMmX1IvSYkp0WhGoAAADCB6fVAECUKSip0JzcvVqWf6jVHhU3j+6jKcP58ByOhvVO1uxpIzRz/mbZ22m4+urK3bpicA9ZWD0CAAAgiZUjABBVFuUV64ZXcrVgY3GrwUjXBJueueF8AyqDv0wd2UeLH8zRLaPTm3qQNA9B1h84ob82O7IZAAAgmrFyBACiREFJhccVBeU1dhUer9Gw3rYgVgZ/a1xB8vytw1Vrd8jhcGnK/8vVwePVTXNe/GSnrsjqoaFpnEYEAADAyhEAiBJzcve2G4xIksPp0tzcfUGqCIFmNpvUKcaqpP802DWdtYCk3uHUI+/lqY4jfQEAAAhHACAaOJ0uLcs/5NXcpfmlcnoIURB+xvTrqgcuH+A2tv3QKf1++S6DKgIAAAgdhCMAEAVq7Y5We4y0pqbBoVpWE0SkR64ZpCG9ktzG/rJqj9bvP25QRQAAAKGBcAQAokCc1dLUnNOTeJtFcVbv5iK8xFotenHaSNksZ/bXOF3SzH9uVlWz45wBAACiCeEIAEQBs9mkq4emejV3cnaazBzxGrGG9U7WI9dkuY0dOFatXy/dZlBFAAAAxiMcAYAo4fKijYjVbNL0nP6BLwaGeuDyAbrwvC5uY3//+qA+23FETqdL1fV2+s4AAICowlG+ABAFth+q0LJvStudYzWbNHvaCA3rzdGukc5iNunFaSM06eXVqq4/01/mv9/eIJmk2gan4m0WTcrupRk5mfw3AQAAIh4rRwAgwrlcLj2zuEBnLwQwm6Q42+l/AuJtFt0yOl2LH8zR1JF9DKoSwXZetwT9bMpQt7Fau1O1DU5JpxvzLthYrBteydWivGIjSgQAAAgaVo4AQIT7eOthfbn3mNvYQ1cN0k+uHqRau0NxVgs9RqLU7WP76v82Fmv9gRNtzrE7XZo5f7MGpSaxggQAAEQsVo4AQASrbXC0aLSZ1jlO/3XFAJnNJnWKsRKMRDGTyaTU5FiP8+xOl+bm7gtCRQAAAMYgHAGACPb6F/t08Hi129gTk4cqPoajeiE5nS59tv2oV3OX5pfSpBUAAEQswhEAiFCHK2r1yqe73cYuOq+Lrh+eZlBFCDW1dodqGhyeJ+p0D5Jau3dzAQAAwg3hCABEqN99tMPtJBKTSfrF9efLZGIbDU6Ls1oUb/NuFVG8zaI4KyuOAABAZCIcAYAIlFd4Uv/aWOQ29p0L05Wd3tmgihCKzGaTJmX38mru5Ow0+tMAAICIRTgCABHG5XLpmQ+2uo0lxlr12MTBBlWEUDYjJ1NWL0KPSwd2C0I1AAAAxiAcAYAIsyivRJsOnnQbe+iqgUpNijOmIIS0Yb2TNXvaCI8ByW+WblPRiep25wAAAIQrwhEAiCBVdXb9Zpn70b39unXSveP7GVMQwsLUkX20+MEc3TI6vakHSfOwpKyyXjP+tl6VdXYjSgQAAAgowhEAiCB/XrVHhyvq3MaenDJMsTTShAeNK0i2PjNRBc9OVMEzE3XZoO5uc7YfOqUf/2OTHBzpCwAAIgzhCABEAKfTpZ2HTukvq/a4jV82qLuuHppqUFUIR2azSZ1irIqxWfTK7aM1oEeC2+Ofbj+i3yzd1sazAQAAwpPV6AIAAB1XUFKhObl7tSz/kGoaHG6PWcwmPXXdMI7uRYd1jrfp9XvH6MY/fqET1Q1N43Ny92lAaqK+N7avgdUBAAD4DytHACBMLcor1g2v5GrBxuIWwYgkjR/QTYN6JhlQGSLJed0S9Je7LpLN4h6y/XzhN1qzp0xOp0vV9XY52WoDAADCGCtHACAMFZRUaOb8zbK384F0zZ5jKiip0LDeyUGsDJFobP+u+vVN2fqf97c0jdmdLt3z+lpZTCbV2p2Kt1k0KbuXZuRk8t8cAAAIO6wcAYAwNCd3b7vBiHT6w+vc3H1BqgiR7jsXZei/rhjgNtbgcKnW7pQk1TQ4tGDj6dVMi/KKjSgRAACgwwhHACDMOJ0uLcs/5NXcpfmlbHeA3zw+cbDGZXZtd47d6dLM+ZtVUFIRpKoAAADOHeEIAISZWruj1R4jralpcKjW7t1cwBOz2aQeSXEe57FqCQAAhBvCEQAIM3FWi+JtFq/mxtssirN6NxfwxOl06d8Fh72ay6olAAAQTgIajhw5ckQffvihnnrqKU2aNEndu3eXyWSSyWTSvffeG5Brzps3TxMnTlRaWpri4uLUr18/3XXXXfrqq68Ccj0ACDaz2aRJ2b28mjs5O01mM0f5wj9YtQQAACJVQE+r6dmzZyBf3k1tba2+853v6MMPP3QbP3DggA4cOKB3331XTz/9tH7+858HrSYACJSbR/XRgo3tN720mk2antM/SBUhGjSuWvImIGHVEgAACCdB21aTkZGha6+9NmCvP3369KZgZMKECVq4cKHWrl2ruXPnasCAAXI6nXrqqac0Z86cgNUAAMHy0db2G7JazSbNnjaCI1XhV76sWkqKs6ruPyfZAAAAhLqAhiNPPfWUPvjgAx06dEgHDx7UX/7yl4BcZ9WqVXr33XclSddff73+/e9/a+rUqRozZoy+//3v66uvvlLfvn0lSY8//rhOnjwZkDoAIBj2l1Vp3tpCtzHLf7bOxNssumV0uhY/mKOpI/sYUR4i3IycTFm92Kp15FSd7ntzrarq7EGoCgAA4NwENBx55plndN111wV8e83vfvc7SZLFYtGrr74qi8V9GW/37t313HPPSZJOnDihuXPnBrQeAAikF/+9U/azGl3GWs36/PErVfDsRG19ZiIrRhBQw3ona/a0EV4FJF/tPa57Xl+rU7UNQagMAACg48L+tJrKykqtWLFCknTNNdcoPT291Xk333yzkpNPf1hYsGBB0OoDAH/aWlKuxZtL3MbuvbSf+qR0UqcYK81XERRTR/bR4gdzdMvo9KaTk+JtFl01JFWJse7tzNYfOKG75q5Vec3pgMTpdKm63s5JNgAAIKQEtCFrMKxdu1Z1dXWSpCuuuKLNeTExMbrkkkv0ySefaO3atWpoaJDNZgtWmQDgF89/vMPtflKcVf995QCDqkE0a1xB8vytw1VrdyjOapHZbNLWknLdNXetjlfVN83NKzypm//0hYb2StaKbUdU0+BQvM2iSdm9NCMnk5VOAADAcGG/cmTbtm1Nt4cMGdLu3MbH7Xa7du3a5dN1ioqK2v1faWmp78UDgA++2ntMK3ccdRv7rysGKKVTjEEVAaebtJ69aun83p31j/svUffEWLd5e45U6cMtpU0n3dQ0OLRgY7FueCVXi/LaP3kJAAAg0MJ+5Uhh4ZmmhG1tqWmUkZHh9rxhw4Z5fZ2znwsAweZyufS7j7a7jfVIitV94/sZUxDQjsG9kjTvB5fo9r9+pSOn6tqda3e6NHP+Zg1KTWIFCQAAMEzYrxw5depU0+3ExMR25yYkJDTdrqysDFhNAOBvy7cd0caDJ93Gfnz1IHWKCfuMGxFqYGqi5j8wTvE2z2817E6X5ubuC0JVAAAArQv7d9W1tbVNt2Ni2l9aHht7ZolvTU2NT9c5e4VKa0pLSzV27FifXhMAvOFwuvT8x+6rRs7r1knfHcOKNoS2vl07ydu2q0vzS/X8rcNpKgwAAAwR9uFIXFxc0+36+vp2ZqqpcaskxcfH+3QdT1t2ACBQFm4q1s7D7qvdHr0mSzZL2C/+Q4SrtTtU2+D0am5Ng0O1dgeroQAAgCHC/p11UlJS021PW2WqqqqabnvaggMAoaDO7tCL/97pNjY0LVnXD+9tUEWA9+Kslqajfj2Jt1kUZ/VuLgAAgL+FfThy9oqOoqKidueevTWGBqsAwsG7Xx9U8Un3bYCPf3swWw8QFsxmkyZl9/JqbnyMWUcr22/eCgAAEChhH46cfeLM9u3b25l55nGr1aqBAwcGtC4AOFeVdXa98ulut7Gx/bvqyqweBlUE+G5GTqasXoR5x6sadN3/y9X6/ceDUBUAAIC7sA9HxowZ09SIddWqVW3Oq6+v11dffdXiOQAQipxOl/68co+OVbn3Uvrfbw+WycSqEYSPYb2TNXvaCK8CkqOn6vTd177S218dkMt1upWr0+lSdb1dTqe3rV0BAAB8F/Zdz5KSknT11Vdr2bJlWr58uYqKilptnrpgwQJVVFRIkm666aZglwkAXikoqdCc3L1aml/aopHlt4b21IXndTWoMqDjpo7so0GpSZqbu09L80tV0+BQvM2i8QO7Kb+4XIcrzmynsTtd+vnCb7R65xHFx1j1ydbDTfMnZffSjJxMDeudbOBPAwAAIlHIrxx58803ZTKZZDKZ9PTTT7c657HHHpMk2e12/ehHP5LD4XB7vKysTP/7v/8rSUpJSdGMGTMCWjMAdMSivGLd8EquFmwsbvWEj4vO62JAVYB/NK4g2frMRBU8O1Fbn5moOfeM0ccPX67LBnVvMf+TgiNalFeimobT/6bXNDi0YOPpvyOL8oqDXT4AAIhwAV05kpubq927z+yXLysra7q9e/duvfnmm27z77333g5d56qrrtJ3v/tdzZs3T4sXL9Y111yjhx9+WL1791Z+fr5+9atf6eDBg5Kk3/72t+rShQ8YAEJLQUmFZs7fLHs7Wwde+GSHLs/qwbfmCGtms8ntuN6UTjF6876xeuGTHfrTyj0en293ujRz/mYNSk3i7wIAAPCbgIYjc+bM0d/+9rdWH/viiy/0xRdfuI11NByRpNdff10VFRVaunSpPvvsM3322Wduj5vNZv385z/XAw880OFrAECgzMnd224wIp3+UDg3d59mTxsRpKqA4LCYTfrfbw/RBb0768fzNsnB3wUAABBkIb+txlvx8fFasmSJ/v73v+uaa65RamqqYmJilJGRodtvv125ubltbssBACM5nS4tyz/k1dyl+aU0pkTEmnRBL68at0r8XQAAAP5lcjW2g8c5KSoqUkZGhiSpsLCw1aawANCa6nq7hj31sdfzC56d6LYtAYgU/F0AAADeCMTn74hZOQIA4SrOalG8zeLV3HibRXFW7+YC4Ya/CwAAwCiEIwBgMLPZpEnZvbyaOzk7TWYvtx0A4Ya/CwAAwCiEIwAQAqbn9Pc4x2o2eTUPCGczcjI99h2xmPi7AAAA/ItwBABCQFWdo93HrWaTZk8bwdGliHjDeidr9rQR7QYkfbrEaWhaUhCrAgAAkY4uZgAQAl7P3ed23yTJpdN9FSZnp2l6Tn+CEUSNqSP7aFBqkubm7tPS/FLVNLiHhweP1+iTgsOaeL53W3AAAAA8IRwBAIMVHq/WJwXuR/n+bMpQ3X5xX8VZLfRVQFRqXEHy/K3DVVnXoBte+UL7j1U3PT77kx361tCesvD3AwAA+AHbagDAYG9/dUDOsw5VT4y16rYxGeoUYyUYQdQzm01Kjo/Ro9cOdhvfebhSH2wuMagqAAAQaQhHAMBAVXV2/WPtQbexWy9MV1KczaCKgNB0XXaahvRy7zPy4r93qsHhNKgiAAAQSQhHAMBACzYW6VStvem+ySTde2k/4woCQpTZbNJjzVaPHDxerX+uLzKoIgAAEEkIRwDAIE6nS2+s2e82dvWQVPXrnmBMQUCIu3poqkb1TXEb+8OKXaptaP+0JwAAAE8IRwDAIKt2HdXeo1VuY/eN729QNUDoM5lM+p9mq0cOVdTqna8OGFQRAACIFIQjAGCQN77Y73Z/cM8kXTqgmzHFAGHi0oHdNX6g+9+TV1fuUWWdvY1nAAAAeEY4AgAG2H3klD7fedRt7L7x/WQycToN4Enz3iPHq+r1eu4+g6oBAACRgHAEAAzQfNVIl0423TiqjzHFAGFmVN8u+tbQnm5jf/18r05W1xtUEQAACHeEIwAQZCer67VgY7Hb2PfG9lWczWJQRUD4mXltls5eaHWqzq4/r9prXEEAACCsEY4AQJDNW1eomrNO17CaTbpr3HkGVgSEn6FpybphRG+3sTfX7NORilqDKgIAAOGMcAQAgsjucOqtZsf3TspOU1rneGMKAsLYI9/KksV8ZvlIbYNTr3y228CKAABAuCIcAYAg+njrYZWUu3+z/f3x/YwpBghz/bonaNpF6W5j7359QDsPnZLT6TKoKgAAEI4IRwAgiN74wv1EjZEZKRrVt4tB1QDh76GrBinGeubtjN0pXfv7z3X+Lz7Wo/PzVFBSYWB1AAAgXBCOAECQbCk6qfUHTriN3ceqEeCc9E6J17jMbi3GaxocWrCxWDe8kqtFecWtPBMAAOAMwhEACJLmx/f2TI7V5Ow0Y4oBIkRBSYVyd5e1+bjd6dLM+ZtZQQIAANpFOAIAQXCovEYfbHb/9vrucf1ks/BrGDgXc3L3yuGhv4jd6dLc3H3tzgEAANGNd+UAEEAFJRV6dH6ecp77THbnmXGbxaTvje1rXGFABHA6XVqWf8iruUvzS2nSCgAA2kQ4AgABsijvdL+DBRuLZW/2oczudGn1rqMGVQZEhlq7QzUNDq/m1jQ4VGv3bi4AAIg+hCMAEAAFJRWaOX9zi1Ckkcsl+iAA5yjOalG8zeLV3HibRXFW7+YCAIDoQzgCAAEwJ3dvm8FII/ogAOfGbDZpUnYvr+ZOzu4ls9kU4IoAAEC4IhwBAD+jDwIQPDNyMmX1IvTo27VTEKoBAADhinAEAPyMPghA8AzrnazZ00Z4DEhe/2K/jp6qC1JVAAAg3BCOAICf0QcBCK6pI/to8YM5umV0etPfvRir+1uc8poGPfthgRHlAQCAMEA4AgB+5lsfhDT6IAB+0LiCZOszE1Xw7ERtf/bbum54mtucDzaX6LPtRwyqEAAAhDLCEQAIgBk5mTJ5yDysZpOm5/QPTkFAlDCbTeoUY5XZbNIvrj9fneNtbo8/ufAbVdXZDaoOAACEKsIRAAiAzB4JirW0/SvWajZp9rQRGtY7OYhVAdGlR1KsfjZlqNtY8ckavfDJDoMqAgAAoYpwBAAC4LPtR1Rrd7YYj7dZdMvodC1+MEdTR/YxoDIgunznwnRdOqCb29iba/Zr08ETBlUEAABCkdXoAgAgEi3MK3a7f3H/LnrjvrGKs1roMQIEkclk0q9vytbE33+uuv8Eli6X9MSCfH3wUI5s7azwAgAA0YN3BADgZ+XVDfps+1G3sZtGpTf1QQAQXP26J+jhb2W5jW0/dEqvfb7XoIoAAECoIRwBAD9b+k2p6h1nttTEWMyalJ3WzjMABNqMy/praJp7j5+XV+zS3qOVBlUEAABCCeEIAPjZwk3uW2omDOnR4sQMAMFls5j13C3ZOnvxVr3dqScW5Mtud6q63i6n02VcgQAAwFD0HAEAPyo5WaOv9x13G7tpFI1XgVAwPD1F943vr7m5+5rGvt53XEN/8ZEaHC7F2yyalN1LM3IyOUkKAIAow8oRAPCjxZtL3O4nxVl15eBUg6oB0NzMa7OU3iXebazBcXrFSE2DQws2FuuGV3K1qFlTZQAAENkIRwDAj5pvqZl8QZribBaDqgHQXKcYqx64fEC7c+xOl2bO36yCkoogVQUAAIxGOAIAfrL9UIW2HzrlNjZ1VG+DqgHQlk2FJzzOsTtdbttvAABAZCMcAQA/WbjJfUtNr+Q4XdK/m0HVAGiN0+nSsvxDXs1dml9Kk1YAAKIE4QgA+IHT6dLiZj0Kpo7sLfPZR2MAMFyt3aGaBodXc2saHKq1ezcXAACEN8IRAPCDdfuPq6S81m1s6khOqQFCTZzVongv+wDF2yyKs9IzCACAaEA4AgB+sDDPfUtNVs9EDU1LMqgaAG0xm02alN3Lq7mTs9NY/QUAQJQgHAGAc1Rvd2ppfqnb2NSRfWQy8aEKCEUzcjJl9SL0uHRA1yBUAwAAQgHhCACco5U7jqi8psFtbOpITqkBQtWw3smaPW2Ex4Dkdx/v0NFTdUGqCgAAGIlwBADO0cJmjVjH9Oui9C6dDKoGgDemjuyjxQ/m6JbR6U09SJqHJYcr6vTQPzbK7nAaUSIAAAgiwhEAOAcVtQ1avu2I29iNo2jECoSDxhUkW5+ZqIJnJ2rbs99WzsDubnO+2ntcz3+8w6AKAQBAsBCOAMA5+OibQ6q3n/lW2WYxaUp2moEVAfCV2WxSpxirbFazXv7uSPXuHOf2+F8+36tlzfoKAQCAyEI4AgDnYFGzLTVXZKUqpVOMQdUAOFfdEmP16p0XKsbi/hbpf97foj1HKw2qCgAABBrhCAB00OGKWq3Zc8xt7MZRNGIFwt3IjBQ9df0wt7HKOrv+6+0Nqqqzy+l0qbr+9P8FAACRwWp0AQAQrhbnlch11mejxFirvjW0p3EFAfCbOy7uq00HT+pfG4uaxnYdqdTE33+uY5X1qmlwKN5m0aTsXpqRk6lhvZMNrBYAAJwrVo4AQAc1P6Xm2xf0Utx/Tr0AEN5MJpP+vxsv0NA099Cj6ESNahockqSaBocWbCzWDa/ktthiBwAAwgvhCAB0wO4jp7S1pMJt7MaRnFIDRJL4GIv+fOdodYppP/S0O12aOX+zCpr9TgAAAOGDcAQAOuD/Nrp/S5yaFKtxA7oZVA2AQDmvW4JGZqR4nGd3ujQ3d1/gCwIAAAFBOAIAPigoqdCj7+Xp1ZV73MYvHdBNFrPJoKoABIrT6dKmgye9mrs0v5QmrQCAsEOj8dNoyAoAXlqUV6yZ8zfL3so/HB9sKdWEIamaytYaIKLU2h1NPUY8qWlwqNbuUKcY3l4BAPzH6XSp1u5QnNUisxdfxnk7v6CkQnNy92pZ/iEajYtwBAC8UlBS0WYwIkmO//QcGJSaFJX/mACRKs5qUbzN4lVAEm+zKM5KU2YAQPsCFV74Mr+1L/0aG40vzivR7Gkjou5LP8IRAPDCnNy9bQYjjRp7DsyeNiJIVQEINLPZpEnZvbRgo+fTaL59QS+vvtEDAESWQIQdvoYXvsz39KWfPUq/9CMcAQAPnE6XluUf8mru0vxSPX/rcD4gARFkRk6mFueVeAxIyyrr5HC66D8EAFEiUGGHL+HF4F5J2lR4Qo/O3yxHO/MfeS9POw+fUteEWC3YWMSXfq0wuVyu6O664idFRUXKyMiQJBUWFio9Pd3gigD4S3W9XcOe+tjr+QXPTqTnABBh2us5dLZbL0zX724hIAWAcObNSpD2/l2wmk0two4bXslt998Qs0mantNfibE2LdlSop1HKj3WaTZJgeyhGm+zaOszE0Py37RAfP7m3TsAeEDPAQBTR/bRoNQkzc3dp6X5pappcCjWapbd6XL7pu79DUVKiLHo6RvOl8kUem8mAQBt83YliDcrOx6el6c/rNilBodLh8prPIbrTpf019W+HQkf6MNloq3ReHT8lABwDnzpOTA5Oy0k03UA525Y72TNnjZCz986vOkbxS/3HtN9b65Tvd3ZNO9vXx5QQqxVj397iIHVAgAk7/uBtLftZVFeie6/LFPdE2O08/Ap/bvgsMewwyVpz9Eqf/0Yhoi2L/0IRwDACzNyMrVwU3G7Cb3VbNL0nP7BKwqAIcxmU9O3aOMHdtef7hitB97e4PZG+dWVe5QQa9WPJgz0+QhGAMC586UfiDenEv551Z5glB1QZpM0LrOb9hyt0qGKWo/zo+1LP8IRAPDCsN7JGtQzSTsOnWr18ca9pdHU0RvAaVcP7amXbhupn8zb5BagPv/xDn2y9ZB2Hq706ghGAIB/eNP8dOL5vbSttEJbiso1N3efx5UgwWA2SdcM7althyp08HiNx/lXD0nVE5OH6oVPduijbzwfHnDTqHTNnjbCqx4o0filH+EIAHihqs6ufa0sjYy3WTQ5O03Tc/rzYQeIYteP6K2aBocef3+L2/jmovKm2+0dwQgA8I6n1Xje9AP5ybw8WUySI8B5iM1i1h++N1Lvfn1Qq3eVeZzva3gx89rBGpiaqB9fNUjLPWz1OTvsaNwm6qmhbLS9tyUcAQAv5O4uU73jTE8Bq1n64qdXqUdiXFQtNwTQtmkXZai6zq6nPyhod97ZRzBG2xtPAOgob7fJzMnd69UqkI4GIzeP6q1dR6qUX1zuce4NI3pr0gVpOq9rgr7c4/1KDV/Di46EHa01Go/2L/04ytdPOMoXiGxPLNiif6wtbLp/6YBuevf+SwysCEComvKH1dpaUuFx3i2jT39DCABon6djc397S7b6pHTSmj1l+uNnuwN2ikvj0bbbD53yamXH4gdzmkIGX47+bVRQUuFTeOHr/Ebh2BsrEJ+/CUf8hHAEiFwul0vjfvOpW+Oqn00eqvsvzzSwKgChyOl06fxffOz10d9bn5kYNm9EAcAI3mwxORcDUxNVb3d41ePj7FA7GGFHI1/Di3AMO3wViM/fbKsBAA8KSitadPSeMCTVoGoAhLJau8OrYEQ63YOk1u5oOvkGAKKRpw/y3m6T8VWs1ay1s65W504xHWpQ2pFtKa0dCe9NeHH2KWne8HU+TuP/YwDgwcodR93uZ3SN14AeCQZVAyCUxVktirdZvF45Eme1BKEqAAg9nnqIOJ0ubS46qcV5JQG5/nXDe6tzpxhJHW9QGqywA8HBnwgAePDp9iNu968anCqTKTKXKAI4N2azSZOye2nBxmKPc2OtZh05VadeneOCUBkAhI72jtpdtKlEF2d21Z6jlTpcUefT656flqwhaUlauKlEjna6R7R2TO25NCgl7IgM/AkCQDtOVNVr08ETbmNsqQHQnhk5mVqcV+JxGfjJmgbd+Mcv9Pq9Y6LyVAAA0cnTUbsOl0tr9hzz+XXjbGZ98FCOzGaTLs/q0aFjaju6EgSRwWx0AQAQyj7fddSt43mczaxLMrsZVxCAkNf45trqxRvqQxW1+s6f1+izHUc8zgWASBCoHiJTsns3BRlTR/bR4gdzdMvodMXbTm9fjLdZdMvodC1+MKdFo9TmGleCEIxEF1aOAEA7mm+pGT+gu+Js9AgA0L62lmdfntVd+cXlKjl5pslzVb1D099cp2emXqC7LjkvKk4ZABC52vod5nK5tKWo3OceIr1T4lRaXqv2zlhtbZsMq0DgK8IRAGiDw+nSqp3uzVjZUgPAW229MT9RVa8fvL1e6/af2bLndEk/X/iN3lqzX0UnalptTggAoaytBqs3j+6jgpIKvb+hSDsPV/r0mh88lKPsPp29Oja3rd+T9AOBt/ivBADakFd4QierG9zGCEcA+Kr5G/MuCTF6Z8bFevz9LVrU7BvUXUfOfHBobE64OK9Es6eN8LgMHACM0l6DVW8aVLcm3mbR+WmnA49zaZYKeItwBADa0HxLzeCeSeqTEm9QNQAiSazVot/fNlLnde2kP3y6u925dqdLM+dv1qDUJD4AAAg6T1v9PDVY7ajJ2Wlu12ObDAKNcAQA2vDZdrbUAAgck8mkR68drC/2HNOGAyfanWt3ujQ3d59mTxsRpOoARLu2tsmcvdXvUHmtnlyY71MwkpoUq7LKOrX3lNZ6iDRimwwChf+qAKAVh8prVVBa4TY2YXAPg6oBEKmcTpcKSio8T5S0NL9Uz986nG9KAQRce9tkFuWV6KrBPVR0slbbSr37/SVJFrNJf/v+GF2a2V0fbCnpcA8RIFAIRwCgFc2P1UyKs+rC87oYVA2ASFVrd6imweHV3JoGh2rtDr4xBRBQnrbJOJwu/Xub78ePO5wuje7bRWaziR4iCEn86woArfisWb+Ry7N6yGoxG1QNgEgVZ7Uo3mbxKiCJt1kUZ+UocQAd581R4XNy9/q9f4jU8ncYPUQQaghHAKCZOrtDubvL3MauGky/EQD+ZzabNCm7l1enOVw5uAcfHAB0iDf9Q6rr7fqk4LAWbvLtdBmr2eRVmNK8wWojeoggVPBfIQA0s3bfcVXXn/kW12SSrqDfCIAAmZGTqcV5JR4/XOw5Uqk6u0OxrB4B4IP2+ocszivR9Mv660hFnT7eesjt/Y833vr+WHXpZNNNr65p93dYew1WgVDBGnEAaKb5KTXD01PUPTHWoGoARLrGpeVWD6tCdh6p1DMfFASpKgCRwFP/ELvTpb+s2qv/21TsczASb7MoZ2B3ZaentPs7jAarCBesHAGAZpo3Y2VLDYBAa605YZzNLIvZpKq6Mx9Y3v36oEZmpGjaRRkGVgsgXASqf4jkvk2GBquIBIQjAHCWfWVV2ldW5TZ21RDCEQCB11pzwp1HTunGP36h2gZn07wnF36jYWnJuqBPZwOrBRDqnE6XluUf8uk5ZpM0IiNFmwtPqr1MpbVtMjRYRbhjWw0AnKX5KTXdE2N1Pt92AAiixuaEZrNJQ3ol67c3D3d7vN7u1H+9s0Enq+sNqhBAqHA6Xaqut8vZLMmotzv1/sZCr48Kl6QnJg3R17O+pf/74Xi9dNvIDm+TOft3GBBOWDkCAGdpvqVmAqdDADDYjaP6KK/wpN5cs79prOhEjR5+L0+v3zOG31FAFGrr9JlbL0zX+v0n9M5XB3TkVJ3Xrxdvs+j+yzLZJoOoRjgCAP9RVWfX13uPu41NYEsNgBAwa/JQ5ReXa8OBE01jK3cc1R8+3aUfXzWIJexAFGnv9BlvjgVvTWvH7LJNBtGGcAQA/uOL3WWqd5zZ1281m5QzqLuBFQHAaTFWs169Y7Sm/CFXZZVnvg3+/fJdenXlHtXbnU3fHM/IyeRbXSBCeTp9piM8HbPbuE0GiHT0HAGA/2i+pWZMv65KjrMZVA0AuOuZHKdXbh8lS7Nvbuvtp0Pdxm+Ob3glV4vyOvbtMYDQ5uvpM2P7ddV94/txzC7gBSJAAJDkcrn02fajbmMThvQwqBoAaN0lmd30/fH99NfV+9qcY3e6NHP+Zg1KTeIDDxBBnE6Xlmwp9WquxWzS//3wUg1PT5EkfefCDPqHAB4QjgCApG2lp3SootZtjCN8AYSiY5WeT6mxO12am7tPs6eNCEJFAPzF6XS12t/jm+Jy/XbZdtXZne08+wyH06WBqYlN9+kfAnhGOAIAarmlJqNrvAb0SGxjNgAYw+l0adk3h7yauzS/VM/fOpwPQEAYaOv0mUnn99LCzSVerxhpFG+zKM5qaTFO/xCgbUHrOXLw4EE99thjGjp0qBISEtS1a1eNHTtWL7zwgqqrq/1yjYKCAj300EPKzs5WcnKyYmJi1KNHD02YMEEvvfSSTp065ZfrAIg8n21vfoRvqkwmPlAACC21dodqGhxeza1pcKjW7t1cAMZZlHe6V9CCjcVNf78bewjd//YGn4MRqfXTZwC0Lyix4ZIlS3THHXeovLy8aay6ulrr1q3TunXrNGfOHC1dulSZmZkdvsbs2bP105/+VHa73W28rKxMK1eu1MqVK/Xyyy9r8eLFGj58eIevAyDynKiqdzseU+IIXwChKc5qUbzN4lVA0tY3xwBChxGnzwBoXcBXjmzevFnTpk1TeXm5EhMT9atf/Upr1qzRihUrdP/990uSduzYoSlTpqiysrJD15g/f74ee+wx2e12xcTE6JFHHtGSJUv09ddf691331VOTo4k6cCBA/r2t7/tFtIAiG4FJRX6wdvrdfZbErNJ6hLPKTUAQo/ZbNKk7F5ezR3WO5lvjoEQ58vpM8lxVv3PxMF6/tbhnD4DBIDJ5XL5L6ZsxYQJE7Ry5UpZrVZ9/vnnGjdunNvjzz//vB5//HFJ0jPPPKOnnnrK52tkZ2frm2++kSR9+OGHmjJlSos5t9xyixYsWCDp9CqTRx991OfrtKeoqEgZGRmSpMLCQqWnp/v19QH436K84ja/rWl8czF1ZB8DKgOAthWUVOiGV3I9fqAySfrD90bp+hG9g1MYAJ84nS6d/4uPvVoJZjWbtO5n31KXhBhJp38PcPoMolkgPn8HNBxZt26dxo4dK0l64IEH9Oc//7nFHKfTqQsuuEDbtm1Tly5ddPjwYdls3n9jW1FRoc6dO0uSRo8erQ0bNrQ6b8uWLRox4nTH9ltuuUXvv/++rz9OuwhHgPDizYcLq9mkxQ/m8CYDQMhpL9w9m9Vs0p/vvFDfGtYzSJUB8NaJ6jqNena51/MLnp3YoplqW6fbAJEuEJ+/A7qtZuHChU2377vvvtYLMJt19913S5JOnDihlStX+nSN+vozx9m117NkwIABTbfr6up8ugaAyOPNMtbGozABINRMHdlHix/M0S2j0xVvO91XJN5m0eCeSW7z7E6Xfvj3jcrdVWZEmQDasH7/cd3y6hqv53s6fYZgBDh3AQ1HVq9eLUlKSEjQhRde2Oa8K664oul2bm6uT9fo3r27unbtKknau3dvm/P27NnTdDsrK8unawCILE6nS8vyvT8K0+nHJmkA4C/Deidr9rQR2vrMRBU8O1Fbn5mojx6+TPde2s9tXr3DqfvfWq91+48bUygQxZxOl6rr7U3vJSrr7Hpq0Tf6zl++1N4y70/s5PQZIPACelrNtm3bJEkDBw6U1dr2pYYMGdLiOb74wQ9+oN/+9rfauHGjli1bpkmTJrWY88tf/lKSZLFYNGPGDJ+vUVRU1O7jpaW+H7EFwBgdOQqz+TJWAAgVjd8cN3rqumGqrrdr/voz711qGhz6/hvr9Pf7L9bw9BSW4gMBVlBSoTm5e7Us/1BTT5BRfVO08/AplVXWe36Bs3D6DBAcAXu3X1tbq7Ky00s4Pe3/6dKlixISElRVVaXCwkKfr/Wzn/1M69ev1/Lly3XTTTfpwQcf1NVXX63u3btr7969+tOf/qRVq1bJYrHoD3/4g4YOHerzNRr3MwEIfxyFCSCSmc0m/ebm4appcOqDzSVN46fq7Lpjzte6uH9XfbH7WNMHtknZvTQjJ5P+SoCftNYTqKbBoTV7jrU6P6NrvEpO1srRToN4/n4CgRewcOTUqVNNtxMTEz3ObwxHOnKcb2JiopYtW6Y333xTv/3tbzV79mzNnj3bbc7NN9+sxx9/XBdffLHPrw8gsjQehblgY7HHuSxjBRCOLGaTXpw2QjX1Di3fdrhp/FStXcu3HWm6X9Pg0IKNxVqcV8IJXYAfFJRUeNUsWZLibGY9du1g3XtpP+08XMnpM4DBArpypFFMTIzH+bGxsZKkmpqaDl1v/fr1+sc//tFm35Hly5erZ8+eGjp0qJKTff8F42lFS2lpadPJPABC34ycTC3cVKz23ruwjBVAOLNZzHrl9lG6/631Wu2hIavd6dLM+Zs1KDWJD2JAOzxtSXvtc88N3yUpNSlW7//XperbrZOkMz2Enr91OFveAIMELByJi4trun32iTJtaTxBJj4+3udrvf/++7rzzjtVV1en4cOH65lnntHll1+upKQkFRYW6r333tMvf/lL/elPf9Lnn3+u5cuXq1evXj5dg6N5gcgyrHeyzu+drPziilYfZxkrgEgQZ7PoL3ddqMue+0zHqtp/P9Z4QtfsaSOCVB0QPlrrIdK4Ja1Pl3it3HFEn2w9pCVeNnw/VWtXepeWn3ua9xACEDwB+5uXlHTmKDlvtspUVVVJ8m4LztkOHz6se++9V3V1dTr//PO1Zs0aJSQkND2emZmpJ554QmPHjtU111yjrVu36qGHHtI///lPn64DILK4XC4Vn6xtMc4yVgCRJs5qUVW93au5S/NL9fytw/nGGjhLWz1EFmws1v9tLJbJpHZXoraGhu9A6AnoypHu3burrKzM40kvJ06caApHfG18Om/evKbnzpo1yy0YOdvVV1+tq6++WsuXL9eCBQt04sQJdenSxadrAYgce45W6nizb1E/efhyDUxN5EMBgIhSa3eotsHp1Vw+sAHuPPUQcUly+RiMSDR8B0KROZAv3ngqzO7du2W3t/2Nxfbt21s8x1tnH/07evTodudeeOGFkiSn06mdO3f6dB0AkWXtvhNu93slx2lQT4IRAJGn8YQub/CBDdHE6XSput4uZzvLPl5dudurHiK+ouE7EHoC+rVATk6OVq9eraqqKm3YsKHNk2JWrVrVdHv8+PE+XcNqPfMjtBfASFJDQ0OrzwMQfdbtP+52f2z/rjKZeJMCIPL4ckJXr86xcrhcMovfh4hc7fUPGdY7WQ0Op1btOKr3NxTqo62HPb/gf0wY3EMX9OmsV1fuafVY3kY0fAdCU0BXjtx4441Nt994441W5zidTr311luSpJSUFE2YMMGna/Tvf+YXy+rVq9ud+/nnn0uSTCaT+vXr59N1AESWtfvcw5Ex/bsaVAkABN6MnExZvfiWel9Ztb7/5jpV1DZ4nAuEo0V5xbrhlVwt2FismgaHpDP9Q65/JVf3vbFW436zQjPeWu9TMCJJf7xjtGZeO1gvThvR5t83Gr4DoSug4cjYsWN12WWXSZLmzp2rL7/8ssWc2bNnN22N+clPfiKbzeb2+JtvvimTySSTyaSnn366xfOnTJnS9G3vr371KxUXt/6tyGuvvab169dLki655BJ169atwz8XgPBWfLJGxSfdjw0f249wBEDkajwm1JuAZPWuMt36pzUqOlHdNObN9gMg1HnqH+JwuvTZjqMqq/R80mZzZ29JmzqyjxY/mKNbRqc3bWmLt1l0y+h0LX4wR1NH9un4DwEgYAK+t+Tll1/W+PHjVVNTo2uvvVazZs3ShAkTVFNTo3nz5um1116TJGVlZWnmzJk+v/6QIUN033336fXXX1dxcbFGjRqlhx9+WJdddlnTUb7z5s3Tu+++K0myWCz69a9/7defEUB4Wdds1UjneJsGpfp2UhYAhJupI/toUGqS5ubu09L80qbtBCMyOmvDgRNqcJz5wLjzcKVu/OMaPTllqD7fdbTN7QdAOJmTuzcg/UOklj1EGgPJ528drlq7Q3FWCz1GgBAX8HBk1KhReu+993TnnXeqoqJCs2bNajEnKytLS5YscTv+1xevvvqqqqqq9N577+no0aP62c9+1uq8hIQEvfbaa7ryyis7dB0AkWFts34jY/p14Q0LgKjQ1ge2TQdP6P631rt9Y15WWaeH38tze37j9oPFeSWaPW0E34AjbDidLi3LP+TTc0b3TdGlA7vpzyvbD1Xa6yFiNps4/QkIEwHdVtPo+uuv15YtW/TII48oKytLnTp1UkpKii666CI999xz2rRpkwYOHNjh14+NjdW8efP06aef6u6771ZWVpYSEhJktVrVtWtXjRs3Tj//+c+1fft23X777X78yQCEo+YrR8awpQZAlGn8wNYYDI/q20X/98PxXq+isztdmjl/swpKKgJZJuCTtrZ/1dkdenftwaYeI9748Mc5WvDD8Xrs2iHtbkmjhwgQOUwuV0dO5kZzRUVFysjIkCQVFhYqPT3d4IoAtOZEVb1G/fLfbmMLfnipRvftYlBFABA6ymsa9MO/b9AXu495Nf+W0emaPW1EgKsC2tfW6TPfHdNXGw6c0Btf7NORU3Vev168zaKtz0x0W1VaUFLRYkva5Ow0Tc/pTzACGCAQn79Z4wUgqjQ/wjfOZtYFvTsbVA0AhJbO8Ta9fs8YDfvFx+0eRdpoaX6pnr91OFsTYZhFecUtmqw2bv/y5vjq1jTvHyLRQwSIBkHZVgMAoaJ5ODK6bxfFWPlVCACNHC6XV8GIdPpDaK3d+60KgD95On2mI9rrHyK13JIGIHLwiQBAVFm7/4TbffqNAIC7OKul6fhRj3Nt5qbjS4Fg8/X0mUsyu+qByzPpHwKgVWyrARA1qurs2lpc7jY2tj/hCACczWw2aVJ2L6+2JLhc0ortR3TNsJ5BqAw4w5fTZywmk/71w3EamXG6v9jUkX3oHwKgBcIRAFFj08GTbt8wWc0mjeqbYlxBABCiZuRkanFeicdv5evsTt3/1np9b2xf/fy6oU1HljqdLvoyIGDsDqfe/uqA16fPOFwuZfVMarpP/xAArSEcARA11jbrN3J+n85Nb+QBAGc0fnj0tp/DP9Ye1Fd7j+nHVw/S6l1HW5waMiMnk2/k4bPmIZvL5dLKnUf16yXbtOtIpdevE2+ztLr9q7F/CABIhCMAosi6fe7hyNh+HN8LAG2ZOrKPBqUmtdh+cPXQVB2rrNOXe91/p+4rq9Ij7+W5jTWeGrI4r0Szp43Q1JF9gvgTIFy1djTvpQO66VhVvfIKT/r8eq2dPgMAzRGOAIgK9XanNhXSjBUAfNHW9gOXy6X56wv1zAcFqq73vLXB7nRp5vzNGpSaxAoStKuto3lXbD/SodfzdPoMADTitBoAUeGbknLVNjjdxghHAMA7zY8vNZlMum1MXy398WUamZHi1WvYnS7Nzd0XwCoR7nw9mvf83sl6cMIATp8B4BeEIwCiQvMtNYNSE9UlIcagagAgMvTrnqD5P7ikzQ+nzS3NL5XTh6NXEV28PZo3zmbWC98ZoQ8ezNFjE4do8YM5umV0etMR1PE2i24Zna7FD+awlQuA19hWAyAqrGvWjJUjfAHAP+wul9ff9Nc0OFRrd9AEEy34cjSvSSbdPKpP00omTp8B4A+sHAEQ8ZxOl9btd+83QjgCAP4RZ7U0fWPvjeeWbdfJ6nq3MafTpep6O6tKolh+cbnXR/M2hmzNNd/+BQC+ILYHEPF2HalUeU2D2xj9RgDAP8xmkyZl99KCjcVezf/blwe0aHOJHr0mS6MyUvTGmv0c/RvFHE6X/rp6r2Z/vMPr57R1NC8AnAvCEQARb+2+Y273+6TEq3dKvEHVAEDkmZGTqcV5JV5vrzlZ3aCnFm1tMc7Rv5HN6XS5bXvZX1almf/crA0HTnh+8lk4mhdAIBCOAIh4a9lSAwAB1djzoa2TRsym0yfcOLwMTzj6N7IUlFRoTu5etxVCg3slalvpKdXZnZ5f4CwczQsgUOg5AiCiuVyuFifVsKUGAPxv6sg+bZ4a8uFDl2nlY1dqSnaa16/H0b+hz5teMYvyinXDK7lasLG4qadITYNDeYXlLYIRk0m6ekgqR/MCMAQrRwBEtKITNTpUUes2NrZ/F4OqAYDI5unUkD/eMVp37inT7XO+lsuLRSRL8kv0/K3DW2yhaL49A8HV2kqQ1nrFFJRUtLmaqLnzunXS7O+M0EX9uqqgpEJzc/dpaX5p0+tPzk7T9Jz+BCMAAoZwBEBEW9ts1UjXhBgN6JFoUDUAEB0aTw1pzYiMFK+CEUmqbXDqzrlf6/aL++qaYT2150iVVx/K0THehE6L8opbBB5n94p58rqhGtgjSXvLKvW3Nfu9CkYyuyfog4dylBB7+r8ZjuYFYATCEQARbd3+5ltqushk4g0WABil8ehfb49tXbPnmNbsOaZOMaefc3awQgNX//DXShC706WnFxf4fP3S8tpWj4NuL2QDAH/jtw2AiLa2RThCvxEAMJKvR/82qq5vO0yhgWvHeVoJ8uubszWgR6IKSis0d/U+r08k8kVNg0O1dgdBCABD8RsIQMQqq6zT3qNVbmOcVAMAxvP16F9vNDZwnT1tRIvHorFHiTc/szcrQR5/f0sgy5R0unFvnLXlyhEACCbCEQARa32zVSMJMRYNS+MbRQAwmqejf61mk357c7YsFpPmrT2or/edaOVVWlqwqUjpXeI08fw0DU1L0rbSU1HXo8TbLTJ2h1MvfLwjICtBJGlYWpJO1dpVeKLG49zJ2WlRE1oBCF2EIwAi1tpmb6ZHn9dFVgsnmANAKJg6so8GpSZ5PJVk4vm9NOypj716TZdLennFbr28Yre6Jth0orohqnqUeNoiM+Oy/rJZzFq//4Q2HTyh2mZH6fpLvM2iDx+6TNsPndINr+S2G8BYzSZNz+kfkDoAwBeEIwAi1tr9x9zu028EAEKLN6eS+NrAtdHxqoY2H/OmR0mobcXxVI83W2T+vGpvh68/oEeC6u1On1aCeLNCaPa0ERG7igdAeCEcARCRTtU2qKCkwm2McAQAQlN7p5J0tIGrJ3anS79aUqC/3H2REmPPXNvbbSnB4m09f/l8T8C2yMTbLPr3I1d0aCWItyuEAMBoJpfL25Pm0Z6ioiJlZGRIkgoLC5Wenm5wRUB0W7XzqO55fW3TfZvFpPynJyqulaMCAQChraCkwuOHcovJpOtGpGndvuMqKa/1+rXNJmlERoouHdBNkvSXVXvbXeXQ1lacQKw0aW2bzNn1PP7twTKbTFq186hW7yrzyzVbc8vo9KZGt55qCvb/jwBEp0B8/mblCICItG6fezPW4ekpBCMAEKa83Z4xdWQfVdU16PxffOL1aztd0qaDJ7Xp4Ml257W1FSdQK0282Sbz66XbO/Ta38/pp0v6d1NSnFV3zV0btJUg7a0QAgCj8dsJQERa2+ykGrbUAEB48/ZDebzN2qEeJd6wO12a/ckO/fmuC2WzmD02QD2XVRRzcltfwXKu4m0WPTl5WNM1O9ITxJteMQAQbghHAEScOrtDeYUn3cbG9u9iTDEAAL/x5kO5Lz1KTCbJ1w3mK7Yf0flPfaQBqYnafuhUm88/l5Umx6vq9MHmEt8K81LzY3NZCQIAp/HbDEDEyS8qV/1ZxxOaTNKF57FyBAAihacP5TNyMrU4r8TjdpH5/3WJquocWrXzqOas3uf19esdLm0rPeVxnt3p0tzcfe326zh7pcltYzJUfLJGq3celcOH0OaWUX00OC1Jv/toR4eOzWUlCAAQjgCIQF/vcz/Cd3DPJHWOtxlUDQAg2LztUTK67+ngfPyA7vr7VwcDshVnwcYinayuV/ekGP1zfZHayi7sTpf+/vVBn18/3mbR898ZIbPZpJ7Jced0bC4rQQBEM377AYgYjUuVF25yX0o9MDXRoIoAAEbxZbtIoI4LliSXTm/FCZSzt8lwbC4AdBxH+foJR/kCxmrvaEGzSXrptpFtNsUDAEQ2b46Q9ea4YKvZpHemX6wau0P3/219QBqmNrJZTLI7XGrvClazSYsfzGk19ODYXACRLBCfv83n/AoAYDBPxx06XdLM+ZtVUFIR5MoAAKGgcbtIeyFB41YcaxtzGrelXDKgmyYMTtUNI3sHqlw9d0u2Nj11rX7/3ZEe62lrNYg3PzMA4AzCEQBhz5vjDhub4gEA0JapI/to8YM5umV0uuJtFkmne3rcMjpdix/McVuBOCMns83gopHFbNLMa7P0g8v6y9uMIt5m0XcuzFBirNWnegAA54ZtNX7CthrAGE6nS+f/4mOvmujF2yza+sxEvkUDAHjkzbaU9rZ0Nq7saAwwHp2f51VPk1tGpzedbuNrPQAQLdhWAwDN1NodXp8uUNPgUK3d/ycRAAAijzfbUvy90qSto3a9rQcA0HGcVgMgrMVZLYq3WbxeORJntQShKgBAtGjsVfL8rcPbXdnh7fHCnCgDAMZg5QiAsNZ4/KI3zj7uEAAAf/L3ShMAQHCxcgRA2JuRk6mFm4rVXk/W9pYqAwAQLN6uNAEABBcrRwCEvWG9k3Vet4Q2H2epMgAg1NBDBABCCytHAIS9nYdPaV9ZVYvxeJtFk7PTND2nP8EIAAAAgDYRjgAIe+9+fdDtfvfEGK2YeYWSYm18IwcAAADAI8IRAGGtpt6hf20schu7bUyGOsfHGFQRAAAAgHBDzxEAYe2DLSU6VWtvum8ySd8d09fAigAAAACEG8IRAGGt+Zaaywf1UEbXTgZVAwAAACAcEY4ACFsFJRXKKzzpNnb7xawaAQAAAOAbwhEAYevdtQfc7vdMjtXVQ1INqgYAAABAuCIcARCWqursWripxG3stosyZLXwaw0AAACAb/gUASAsfbC5RJV1Zxqxmk3SbWPZUgMAAADAd4QjAMLSu2vdG7FeOThVfVLiDaoGAAAAQDgjHAEQdr4pLteWonK3sdtZNQIAAACggwhHAISdvzc7vjetc5yuHNzDoGoAAAAAhDvCEQBhpbLOrsV5xW5jt42hESsAAACAjuPTBICwsiivWFX1jqb7ZtPpcAQAAAAAOopwBEDYcLlcerfZlpqrhvRUWmcasQIAAADoOMIRAGFjS1G5tpZUuI3dcTGNWAEAAACcG8IRAGGj+aqRPinxujyLRqwAAAAAzg3hCICwUFHboMWbS9zGvjc2QxazyaCKAAAAAEQKwhEAYWHRpmLVNJxpxGo1mzTtIhqxAgAAADh3hCMAQp7D4dTbXx5wG/vW0J5KTY4zqCIAAAAAkcRqdAEA0JaCkgrNyd2rJVtKVWd3uj12O41YAQAAAPgJ4QiAkLQor1gz52+W3elq9fHjVfVBrggAAABApGJbDYCQU1BS0W4wIkmP/XOzCpod6wsAAAAAHUE4AiDkzMnd224wIkl2p0tzc/cFqSIAAAAAkYxwBEBIcTpdWpZ/yKu5S/NL5fQQogAAAACAJ4QjAEJKrd3hdmRve2oaHKq1ezcXAAAAANpCOAIgpMRZLYq3WbyaG2+zKM7q3VwAAAAAaAvhCICQYjabNCm7l1dzJ2enyWw2BbgiAAAAAJGOcARAyJmRkymLh9DDajZpek7/IFUEAAAAIJIRjgAIOcN6J+v64WltPm41mzR72ggN650cxKoAAAAARCqr0QUAQGv2H6tuMRZvs2hydpqm5/QnGAEAAADgN4QjAEJO8cka5RWedBt77a4L9a2hPekxAgAAAMDv2FYDIOR89M0ht/ud422aMCSVYAQAAABAQBCOAAg5S/NL3e5fM6ynbBZ+XQEAAAAIDD5tAAgph8prteHACbexKdltN2cFAAAAgHNFOAIgpCz7xn3VSFKcVZcO7GZQNQAAAACiAeEIgJCyLN+938g1Q3sq1moxqBoAAAAA0YBwBEDIOFJRq3UHjruNTWZLDQAAAIAAIxwBEDI+2npILteZ+4mxVuUM6m5cQQAAAACiAuEIgJDR/JSaq4emKs7GlhoAAAAAgUU4AiAkHD1Vp7X72FIDAAAAIPgIRwCEhI+3HpLzrC01nWIsuiKrh3EFAQAAAIgahCMAQkLzI3yvGsKWGgAAAADBQTgCwHDHKuv01V73LTVT2FIDAAAAIEgIRwAY7pOCw3Kctacm3mbRlYNTDawIAAAAQDQhHAFguOan1EwY0kPxMWypAQAAABAchCMADHWiql5r9hxzG+OUGgAAAADBRDgCwFD/bralJtZq1gS21AAAAAAIIsIRAIZa2uyUmisH91BCrNWgagAAAABEI8IRAIYpr27QF7vL3MbYUgMAAAAg2AhHABjm39sOq8FxZktNjNWsq4awpQYAAABAcBGOADDMsman1Fw+qIeS4mwGVQMAAAAgWhGOADBERW2DVu9y31IzZXgvg6oBAAAAEM0IRwAYYsW2w6p3OJvu2ywmXT20p4EVAQAAAIhWQQtHDh48qMcee0xDhw5VQkKCunbtqrFjx+qFF15QdXW1X6+1fPly3XvvvRo4cKASEhLUuXNnZWVl6dZbb9Wf/vQnVVZW+vV6AHy3NP+Q2/3LBvVQMltqAAAAABggKOdlLlmyRHfccYfKy8ubxqqrq7Vu3TqtW7dOc+bM0dKlS5WZmXlO1zlx4oTuu+8+LVq0qMVjFRUV2rVrl/71r39p3LhxGjly5DldC0DHnapt0KqdR93GOKUGAAAAgFECHo5s3rxZ06ZNU3V1tRITE/XEE09owoQJqqmp0bx58/TXv/5VO3bs0JQpU7Ru3TolJiZ26Drl5eW65pprtGHDBknSlClT9N3vflcDBw6Uw+HQgQMHtG7dOr3//vv+/PEAdMDybYdVbz+zpcZqNukattQAAAAAMEjAw5GHH35Y1dXVslqt+uSTTzRu3Limx6666ioNGjRIjz/+uLZv364XX3xRTz31VIeu89BDD2nDhg2yWq165513dNttt7k9Pn78eN1+++168cUX5XA4zulnAtAxBSUVmpO7V4s2lbiNj8hIUedObKkBAAAAYIyA9hxZt26dVq5cKUmaPn26WzDSaObMmRo6dKgk6fe//70aGhp8vk5ubq7efvttSdKTTz7ZIhg5m8lkktUalN1EAM6yKK9YN7ySqwUbi+Vwudwe23TwhBblFRtUGQAAAIBoF9BwZOHChU2377vvvtYLMJt19913SzrdM6QxTPHFK6+8IklKTEzUzJkzfX4+gMAqKKnQzPmbZXe6Wn3c6ZJmzt+sgpKKIFcGAAAAAAEOR1avXi1JSkhI0IUXXtjmvCuuuKLpdm5urk/XqK+vb2rAOmnSpKaeJXa7XQcOHNDBgwdVX1/va+kA/GhO7t42g5FGdqdLc3P3BakiAAAAADgjoOHItm3bJEkDBw5sdyvLkCFDWjzHW5s3b1Ztba0kady4cTp06JDuu+8+paSkqF+/fjrvvPPUuXNnTZ48WWvWrOnAT3FaUVFRu/8rLS3t8GsDkczpdGlZs2N727I0v1RODyEKAAAAAPhbwJpv1NbWqqysTJKUnp7e7twuXbooISFBVVVVKiws9Ok6BQUFbtfMzs5uuu7Z48uWLdPHH3+s2bNn6+GHH/bpGpKUkZHh83MASLV2h2oavGuCXNPgUK3doU4x9AUCAAAAEDwBWzly6tSpptveHM+bkJAgSaqsrPTpOsePH2+6/cwzz6isrEzXXXed1q9fr9raWh0+fFivvvqqkpOT5XQ69eijj2rZsmU+XQNAx8VZLYq3WbyaG2+zKM7q3VwAAAAA8JeArhxpFBMT43F+bGysJKmmpsan61RVVTXdrqur0/XXX6+FCxfKbD6d+6Smpuq///u/lZ2drSuuuEJOp1OPP/64vv3tb8tkMnl9HU8rWkpLSzV27Fifageigdls0qTsXlqw0fNpNJOz02Q2e//3EgAAAAD8IWDhSFxcXNNtbxqi1tXVSZLi4+M7fB1Jev7555uCkbPl5OTo5ptv1vvvv69vvvlG33zzjbKzs72+jqetQQDaNiMnU4vzStptymo1mzQ9p38QqwIAAACA0wK2rSYpKanptjdbZRpXgHizBaet6/Tv31+DBw9uc+7EiRObbq9bt86n6wDouGG9k3XXuPPafNxqNmn2tBEa1js5iFUBAAAAwGkBXTnSvXt3lZWVqaioqN25J06caApHfG18evZ8T6s7zp575MgRn64D4NzUNjhbjMXbLJqcnabpOf0JRgAAAAAYJqBHQgwdOlSrV6/W7t27Zbfb2zzOd/v27W7P8cX555/fdNvhaP9EjLMfb+9oYQD+5XK5tHrXUbexx67N0g+vHEiPEQAAAACGC9i2Gul0nw/p9JaZDRs2tDlv1apVTbfHjx/v0zXOO+889e3bV5K0Z8+eduee/XifPn18ug6AjjtwrFpFJ9ybLV81pCfBCAAAAICQENBw5MYbb2y6/cYbb7Q6x+l06q233pIkpaSkaMKECT5f55ZbbpEkHT58WGvWrGlz3oIFC5puX3bZZT5fB0DHrN5d5na/e2KMhvRKamM2AAAAAARXQMORsWPHNoUQc+fO1ZdfftlizuzZs7Vt2zZJ0k9+8hPZbDa3x998802ZTCaZTCY9/fTTrV7n4Ycfbjq15sc//rHb8b6N3nnnHa1cuVKSNGXKFE6fAYIot9mWmvEDu7NqBAAAAEDICGg4Ikkvv/yy4uPjZbfbde211+o3v/mNvvrqK3322Wd64IEH9Pjjj0uSsrKyNHPmzA5do2/fvnr22WclSRs2bNDYsWP1t7/9TRs2bNCnn36qBx98UPfee68kKTk5WS+99JJffjYAntkdTq3Zc8xtLGdgd4OqAQAAAICWAt6VdNSoUXrvvfd05513qqKiQrNmzWoxJysrS0uWLHE7ltdX//M//6Pjx4/rueeeU0FBQVMYcrbU1FQtXLhQgwYN6vB1APhmS3G5TtXa3cYuG9TDoGoAAAAAoKWArxyRpOuvv15btmzRI488oqysLHXq1EkpKSm66KKL9Nxzz2nTpk0aOHDgOV/nN7/5jb744gvddddd6tevn2JjY9W5c2eNGTNGv/zlL7Vz506NGzfODz8RAG/l7nLvNzIoNVG9OscZVA0AAAAAtGRyuVwuo4uIBEVFRcrIyJAkFRYW0tME+I9pf/5Sa/cfb7p/3/h++sX157fzDAAAAABoWyA+fwdl5QiA6FRZZ9fGgyfcxi4bRL8RAAAAAKGFcARAwHy995jszjOL02wWky7u383AigAAAACgJcIRAAGzulm/kVF9uyghNuB9oAEAAADAJ4QjAAImd7d7OHIZR/gCAAAACEGEIwACorS8RruPVLqN5dBvBAAAAEAIIhwBEBDNj/BNjrNqeHqKMcUAAAAAQDsIRwAERPMtNZcO6C6L2WRQNQAAAADQNsIRAH7ndLr0RbNwhC01AAAAAEIV4QgAv9t+6JTKKuvdxi4jHAEAAAAQoghHAPhd7u6jbvczusbrvG4JBlUDAAAAAO0jHAHgd6ubNWPNGdjDoEoAAAAAwDPCEQB+Vdvg0Np9x93G2FIDAAAAIJQRjgDwqw0HTqjO7my6bzJJlw7oZmBFAAAAANA+whEAftV8S83w9BSldIoxqBoAAAAA8IxwBIBfNW/GetlAttQAAAAACG2EIwD85lhlnbaWVLiN5dBvBAAAAECIIxwB4Ddf7Dkml+vM/U4xFo3u28W4ggAAAADAC4QjAPwmd5f7lpqL+3dVjJVfMwAAAABCG59aAPiFy+VSbrNmrDmDehhUDQAAAAB4j3AEgF/sLatSSXmt29hl9BsBAAAAEAYIRwD4RfNVIz2TYzUoNdGgagAAAADAe4QjAPxidbNwZPzA7jKZTAZVAwAAAADeIxwBcM4aHE59tfeY2xhbagAAAACEC8IRAOdsc+FJVdbZ3cbGDyQcAQAAABAeCEcAnLPmW2qG9EpSalKcQdUAAAAAgG8IRwCcs9W7jrrdz2HVCAAAAIAwYjW6AADhq6CkQn9atVsbD550G+/brZMxBQEAAABABxCOAOiQRXnFmjl/s+xOV4vHnv2gQJ3jbZo6so8BlQEAAACAb9hWA8BnBSUVbQYjkmR3ujRz/mYVlFQEuTIAAAAA8B3hCACfzcnd22Yw0sjudGlu7r4gVQQAAAAAHUc4AsAnTqdLy/IPeTV3aX6pnB5CFAAAAAAwGuEIAJ/U2h2qaXB4NbemwaFau3dzAQAAAMAohCMAfBJntSjeZvFqbrzNojird3MBAAAAwCiEIwB8YjabNCm7l1dzJ2enyWw2BbgiAAAAADg3hCMAfDYjJ1NWD6GH1WzS9Jz+QaoIAAAAADqOcASAz4b1TtaDVw1s83Gr2aTZ00ZoWO/kIFYFAAAAAB1jNboAAOEpMbblr494m0WTs9M0Pac/wQgAAACAsEE4AqBDNh086Xb/1tF99LtbR9BjBAAAAEDYYVsNgA7ZePCE2/2x/bsRjAAAAAAIS4QjAHxWWl6j0vJat7FRfVOMKQYAAAAAzhHhCACfNd9Skxxn1YAeicYUAwAAAADniHAEgM82NdtSM7JvF7bUAAAAAAhbhCMAfLax2cqRURkphtQBAAAAAP5AOALAJ/V2p/KLy93GRp/XxaBqAAAAAODcEY4A8ElBaYXq7U63sZHpKcYUAwAAAAB+QDgCwCfN+40MTE1U5042g6oBAAAAgHNHOALAJ/QbAQAAABBpCEcA+GTjAfeVI/QbAQAAABDuCEcAeO1IRa2KT9a4jY3qm2JMMQAAAADgJ4QjALzWfEtNYqxVg1KTjCkGAAAAAPyEcASA1zYVum+pGZHRWRazyaBqAAAAAMA/CEcAeG3TgZNu90f3pd8IAAAAgPBHOALAKw0Op7YUn3QbIxwBAAAAEAkIRwB4ZXvpKdU2ON3GRnKMLwAAAIAIQDgCwCvN+41kdk9Ql4QYg6oBAAAAAP8hHAHglY0H3MORkRzhCwAAACBCEI4A8ErzY3zpNwIAAAAgUhCOAPCorLJOB49Xu42NYuUIAAAAgAhBOALAo03NVo10irFocM8kY4oBAAAAAD8jHAHg0aaD7v1Ghqd3ltXCrw8AAAAAkYFPNwA82tgsHKHfCAAAAIBIQjgCoF12h1NbisrdxkYRjgAAAACIIIQjANq14/ApVdc73MZoxgoAAAAgkhCOAGhX82as53XrpO6JscYUAwAAAAABQDgCoF3N+42MykgxphAAAAAACBDCEQDtymu2cmT0efQbAQAAABBZCEcAtOlEVb32llW5jY3KIBwBAAAAEFkIRwC0aVOh+5aaOJtZQ9KSDKoGAAAAAAKDcARAm5o3Yx3eJ0U2C782AAAAAEQWPuUAaFOLZqznpRhTCAAAAAAEEOEIgFY5nC5tLix3G6PfCAAAAIBIRDgCoFW7jpxSZZ3dbWx03xRjigEAAACAACIcAdCq5v1G+qTEKzU5zphiAAAAACCACEcAtGrjAfd+I6PPY0sNAAAAgMhEOAKgVZsKT7rdZ0sNAAAAgEhFOAKghfLqBu0+Uuk2NqovK0cAAAAARCbCEQAt5BWddLsfYzVrWFqyMcUAAAAAQIARjgBooXm/kew+nRVj5dcFAAAAgMjEpx0ALWw82KwZK/1GAAAAAEQwwhEAbpxOl/KaNWOl3wgAAACASEY4AsDNnqOVOlVrdxsbTTgCAAAAIIIRjgBoUlBSoZ/+K99tLN5m1vGqeoMqAgAAAIDAIxwBIElalFesG17J1YZm/UZqGpy64ZVcLcorNqgyAAAAAAgswhEAKiip0Mz5m2V3ulp93O50aeb8zSooqQhyZQAAAAAQeIQjADQnd2+bwUgju9Olubn7glQRAAAAAAQP4QgQ5ZxOl5blH/Jq7tL8Ujk9hCgAAAAAEG4IR4AoV2t3qKbB4dXcmgaHau3ezQUAAACAcEE4AkS5OKtF8TaLV3PjbRbFWb2bCwAAAADhgnAEiHJms0mTsnt5NXdydprMZlOAKwIAAACA4CIcAaAZOZmyegg9rGaTpuf0D1JFAAAAABA8hCMANKx3sh69JqvNx61mk2ZPG6FhvZODWBUAAAAABIfV6AIAhIZeneNajMXbLJqcnabpOf0JRgAAAABELMIRAJKk7YdOud2fMDhVc++5iB4jAAAAACIe22oASJK2lVa43b+gTzLBCAAAAICoQDgCQJK0rdR95cjQNLbRAAAAAIgOQQtHDh48qMcee0xDhw5VQkKCunbtqrFjx+qFF15QdXV1QK5ZWlqqlJQUmUwmmUwmXXnllQG5DhDujp6qU1llndvYkF5JBlUDAAAAAMEVlJ4jS5Ys0R133KHy8vKmserqaq1bt07r1q3TnDlztHTpUmVmZvr1ug899JDbNQG0bvsh9y01cTazzuuWYFA1AAAAABBcAV85snnzZk2bNk3l5eVKTEzUr371K61Zs0YrVqzQ/fffL0nasWOHpkyZosrKSr9d94MPPtC//vUvpaam+u01gUi1vdmWmsE9k2Sh3wgAAACAKBHwcOThhx9WdXW1rFarPvnkE82aNUvjxo3TVVddpddee02/+93vJEnbt2/Xiy++6JdrVlZW6kc/+pEk6YUXXvDLawKRbFuzlSP0GwEAAAAQTQIajqxbt04rV66UJE2fPl3jxo1rMWfmzJkaOnSoJOn3v/+9Ghoazvm6s2bNUmFhoSZMmKC77rrrnF8PiHTNV47QbwQAAABANAloOLJw4cKm2/fdd1/rBZjNuvvuuyVJJ06caApTOmrt2rX64x//qJiYGP3pT386p9cCokGDw6ndR9y3tA1h5QgAAACAKBLQcGT16tWSpISEBF144YVtzrviiiuabufm5nb4ena7XT/4wQ/kdDr1v//7vxo8eHCHXwuIFnuPVqne4XQbG9qLcAQAAABA9AjoaTXbtm2TJA0cOFBWa9uXGjJkSIvndMQLL7ygzZs3a8CAAZo1a1aHX6c1RUVF7T5eWlrq1+sBwdL8pJrenePUuZPNoGoAAAAAIPgCFo7U1taqrKxMkpSent7u3C5duighIUFVVVUqLCzs0PX27t2rZ599VpL06quvKi4urkOv05aMjAy/vh4QKgpK3cMRttQAAAAAiDYB21Zz6tSZBo+JiYke5yckJEhSh4/zfeCBB1RTU6PbbrtN1157bYdeA4hGzZuxDk2jGSsAAACA6BLQlSONYmJiPM6PjY2VJNXU1Ph8rbfeekvLly9XcnKyXnrpJZ+f7w1PK1pKS0s1duzYgFwbCKTm22qG0G8EAAAAQJQJWDhy9raW+vp6j/Pr6uokSfHx8T5dp6ysTDNnzpQk/epXv1JaWppPz/eWp61BQDg6XlWvwxV1bmOsHAEAAAAQbQK2rSYp6cwHLG+2ylRVVUnybgvO2R599FGVlZXpoosu0g9/+EPfigSi3PZm/UZirGb165ZgUDUAAAAAYIyArhzp3r27ysrKPJ70cuLEiaZwxJfGpyUlJXr77bclSVdddZXmz5/f7vwjR45o3rx5kqT+/fvr4osv9vpaQCTadsi938jgnkmyWgJ6wjcAAAAAhJyAHuU7dOhQrV69Wrt375bdbm/zON/t27e7PcdbZ2/X+d3vfudx/rZt2/S9731PknTPPfcQjiDqNV85MqQXW2oAAAAARJ+AfkWck5Mj6fSWmQ0bNrQ5b9WqVU23x48fH8iSAJxlW/NmrBzjCwAAACAKBTQcufHGG5tuv/HGG63OcTqdeuuttyRJKSkpmjBhgtev369fP7lcLo//a3TFFVc0jb355psd+pmASGF3OLXzsHs/IJqxAgAAAIhGAQ1Hxo4dq8suu0ySNHfuXH355Zct5syePVvbtm2TJP3kJz+RzWZze/zNN9+UyWSSyWTS008/Hchygaiy/1iV6u1OtzGO8QUAAAAQjQLac0SSXn75ZY0fP141NTW69tprNWvWLE2YMEE1NTWaN2+eXnvtNUlSVlZW05G8AAKvoNS9GWvP5Fh1TYgxqBoAAAAAME7Aw5FRo0bpvffe05133qmKigrNmjWrxZysrCwtWbLE7fhfAIHVshkrq0YAAAAARKegnNl5/fXXa8uWLXrkkUeUlZWlTp06KSUlRRdddJGee+45bdq0SQMHDgxGKQD+Y3uzY3yH0owVAAAAQJQyuc7uWIoOKyoqUkZGhiSpsLBQ6enpBlcEtO/S36xQSXlt0/2XvztSU0f2MbAiAAAAAPAsEJ+/g7JyBEBoOVld7xaMSGyrAQAAABC9CEeAKNR8S02MxazMHgkGVQMAAAAAxiIcAaJQ82asA1MTZbPw6wAAAABAdOLTEBCFtjU7xndIGidFAQAAAIhehCNAFNp+yH3lyDBOqgEAAAAQxQhHgCjjcLq043CzlSM0YwUAAAAQxQhHgCiz/1iVahucbmNsqwEAAAAQzQhHgCizvVm/ke6JseqeGGtQNQAAAABgPMIRIMo07zcylFUjAAAAAKIc4QgQZZqfVDOUZqwAAAAAohzhCBBltpW6rxwZ0ouVIwAAAACiG+EIEEUqahtUfLLGbYyVIwAAAACiHeEIEEV2HHLfUmM1mzSgR6JB1QAAAABAaCAcAaJI8y01A1MTFWPl1wAAAACA6ManIiCKNG/GSr8RAAAAACAcAaJKy2N86TcCAAAAAIQjQJRwOl0teo4MIRwBAAAAAMIRIFocPF6t6nqH29hQttUAAAAAAOEIEC2ab6nplhCjHkmxBlUDAAAAAKGDcASIEi2asaYlyWQyGVQNAAAAAIQOwhEgSjQ/xndIL/qNAAAAAIBEOAJEje3Nm7HSbwQAAAAAJBGOAFGhss6ug8er3cY4xhcAAAAATiMcAaLAjmbNWC1mkwamJhpUDQAAAACEFsIRIAo0b8aa2T1BcTaLQdUAAAAAQGghHAGiQPNjfNlSAwAAAABnEI4AUWB7K8f4AgAAAABOIxwBIpzT6WpxUs1QjvEFAAAAgCaEI0CEKz5Zo8o6u9sY22oAAAAA4AzCESDCbSt17zeS0smmnsmxBlUDAAAAAKGHcASIcM1PqhnSK0kmk8mgagAAAAAg9BCOABGu+Uk1Q+g3AgAAAABuCEeACFZQUqHVu8rcxvKLylVQUtHGMwAAAAAg+hCOABFqUV6xbnglt0Uz1g0HT+iGV3K1KK/YoMoAAAAAILQQjgARqKCkQjPnb5bd6Wr1cbvTpZnzN7OCBAAAAABEOAJEpDm5e9sMRhrZnS7Nzd0XpIoAAAAAIHQRjgARxul0aVn+Ia/mLs0vldNDiAIAAAAAkY5wBIgwtXaHahocXs2taXCo1u7dXAAAAACIVIQjQISJs1oUb7N4NTfeZlGc1bu5AAAAABCpCEeACGM2mzSqb4pXcydnp8lsNgW2IAAAAAAIcYQjQIRxuVw6XFHrcZ7VbNL0nP5BqAgAAAAAQhvhCBBhPt56WHuOVrU7x2o2afa0ERrWOzlIVQEAAABA6LIaXQAA/3E6XXrp3zvdxhJjrXI4XappcCjeZtHk7DRNz+lPMAIAAAAA/0E4AkSQJfml2nH4lNvYr2/O1nXZaaq1OxRntdBjBAAAAACaIRwBIoTD6dLvl7uvGsnqmajr/tN0tVMMf90BAAAAoDX0HAEixOLNxS16jTzyrSxWigAAAACAB4QjQASwO5x6efkut7FhacmaeH4vgyoCAAAAgPBBOAJEgAWbirX/WLXb2KPXsGoEAAAAALxBOAKEuXq7U39Y4b5qZER6Z109NNWgigAAAAAgvBCOAGHu/Q1FKjpR4zb2yDVZMplYNQIAAAAA3iAcAcJYnd2hVz51XzUyum+KrsjqYVBFAAAAABB+CEeAMDZvbaFKymvdxmZeO5hVIwAAAADgA8IRIEzVNjj0x892u41d3L+rLh3QzaCKAAAAACA8EY4AYeqdrw7oyKk6t7FH6TUCAAAAAD6zGl0AAN84nS4dr67Tn1a6rxrJGdhdF2eyagQAAAAAfEU4AoSJgpIKzcndq2X5h1TT4Gjx+CPXZBlQFQAAAACEP8IRIAwsyivWzPmbZXe6Wn18aFqSLjyvS5CrAgAAAIDIQM8RIMQVlFS0G4xI0s7DlSooqQhiVQAAAAAQOQhHgBA3J3dvu8GIJDmcLs3N3RekigAAAAAgshCOACHM6XRpWf4hr+YuzS+V00OIAgAAAABoiXAECGG1dkerzVdbU9PgUK3du7kAAAAAgDMIR4AQFme1KN5m8WpuvM2iOKt3cwEAAAAAZxCOACHMbDZpUnYvr+ZOzk6T2WwKcEUAAAAAEHkIR4AQNyMnUxYPoYfVbNL0nP5BqggAAAAAIgvhCBDihvVO1tj+Xdp83Go2afa0ERrWOzmIVQEAAABA5LAaXQCA9pXXNCjvYHmL8XibRZOz0zQ9pz/BCAAAAACcA8IRIMS9v6HI7cQas0la8eiVOq9bJ3qMAAAAAIAfEI4AIczpdOmdrw64jX37gl7q3yPBoIoAAAAAIPLQcwQIYV/sKdO+siq3sbsu6WdMMQAAAAAQoQhHgBD21pfuq0ayeibqksyuBlUDAAAAAJGJcAQIUcUna7Ri22G3sbsuOU8mE31GAAAAAMCfCEeAEPX3rw7I6TpzPzHWqptGpxtXEAAAAABEKMIRIATV2R16b12h29jNo/soMZYeygAAAADgb4QjQAhaml+qY1X1bmN3XXKeQdUAAAAAQGQjHAFCUPNGrOMyu2lQzySDqgEAAACAyEY4AoSYb4rLtengSbexu8exagQAAAAAAoVwBAgxb3253+1+r+Q4XTOspzHFAAAAAEAUIBwBQsjJ6notyitxG7v94r6yWvirCgAAAACBwicuIIT8c32R6uzOpvs2i0nfHZthYEUAAAAAEPkIR4AQ4XS69M7X7o1Yv31BmlKT4gyqCAAAAACiA+EIECJW7TqqA8eq3cZoxAoAAAAAgUc4AoSIt5sd3zukV5IuOq+LQdUAAAAAQPQgHAFCQOHxan2244jb2N3j+slkMhlUEQAAAABED8IRIAS88/UBuVxn7ifFWXXjqN7GFQQAAAAAUYRwBDBYdZ1d76096DZ264Xp6hRjNagiAAAAAIgufPoCDFJQUqE5uXv1weZSNTicbo/ddQmNWAEAAAAgWAhHAAMsyivWzPmbZXe6WjxmkpRfXK7MHonBLwwAAAAAohDbaoAgKyipaDMYkSSXpJnzN6ugpCK4hQEAAABAlCIcAYJsTu7eNoORRnanS3Nz9wWpIgAAAACIboQjQBA5nS4tyz/k1dyl+aVyeghRAAAAAADnjnAECKJau0M1DQ6v5tY0OFRr924uAAAAAKDjCEeAIIqzWhRvs3g1N95mUZzVu7kAAAAAgI4jHAGCyGw2aVJ2L6/mTs5Ok9lsCnBFAAAAAADCESDIZuRkylPmYTWbND2nf3AKAgAAAIAoRzgCBNmw3ska0iupzcetZpNmTxuhYb2Tg1gVAAAAAESvoIUjBw8e1GOPPaahQ4cqISFBXbt21dixY/XCCy+ourr6nF67oqJC8+bN0/3336/Ro0crJSVFMTEx6tGjh6688kq98MILOnnypH9+EOAcnaiq187DlS3G420W3TI6XYsfzNHUkX0MqAwAAAAAopPJ5XIF/KzQJUuW6I477lB5eXmrjw8ePFhLly5VZmamz6+9bNky3XTTTaqrq2t3Xs+ePfWPf/xDEyZM8Pka3igqKlJGRoYkqbCwUOnp6QG5DsLfvLUH9dMF+U33Yywm5f70KnVPiKXHCAAAAAB4EIjP3wFfObJ582ZNmzZN5eXlSkxM1K9+9SutWbNGK1as0P333y9J2rFjh6ZMmaLKypbfpnty7Ngx1dXVyWw2a+LEiXrppZf06aefauPGjVq8eLFuu+02SdLhw4d13XXXKS8vz58/HuCzD7aUuN3/1rCeSk2KIxgBAAAAAINYA32Bhx9+WNXV1bJarfrkk080bty4pseuuuoqDRo0SI8//ri2b9+uF198UU899ZRPr2+z2fTAAw9o1qxZ6tu3r9tjo0aN0vXXX6/x48frxz/+saqrqzVz5kytWLHCLz8b4Kujp+r05Z5jbmPXDe9tUDUAAAAAACnA22rWrVunsWPHSpIeeOAB/fnPf24xx+l06oILLtC2bdvUpUsXHT58WDabze+1jBkzRuvXr5fZbNaRI0fUrVs3v74+22rgjbe+3K+nFm1tup8QY9H6J69RfIzFwKoAAAAAIHyE3baahQsXNt2+7777Wi/AbNbdd98tSTpx4oRWrlwZkFquvPJKSafDmH379gXkGoAnH2xuuaWGYAQAAAAAjBXQcGT16tWSpISEBF144YVtzrviiiuabufm5gaklrMbtprNnGCM4Cstr9G6/Sfcxq5nSw0AAAAAGC6gKcG2bdskSQMHDpTV2nZ7kyFDhrR4jr+tWrVKkmS1WjVw4MCAXANoz5ItpW73k+Osuiyru0HVAAAAAAAaBawha21trcrKyiTJ4/6fLl26KCEhQVVVVSosLPR7LUuWLNGWLVskSRMnTlRycrLPr1FUVNTu46Wlpe0+DnzQLByZeH4vxVrZUgMAAAAARgtYOHLq1Kmm24mJiR7nN4YjHTnOtz3Hjx/Xj370I0mSxWLRL3/5yw69TmOzF6AjDh6r1ubCk25j149gSw0AAAAAhIKAbaupra1tuh0TE+NxfmxsrCSppqbGbzU4HA7dcccdOnDggCTpySef1KhRo/z2+oC3Ptji3oi1a0KMLh3g3xOTAAAAAAAdE7CVI3FxcU236+vrPc5vbJgaHx/vtxp++MMf6qOPPpIkTZkyRT//+c87/FqetvuUlpY2HVsMNPdhsy01ky7oJauFxsAAAAAAEAoCFo4kJSU13fZmq0xVVZUk77bgeOOJJ57Qa6+9JknKycnRP//5T1ksHe/v4I9zkxGddh+p1LbSCrex6zilBgAAAABCRsC+uo6Li1P37qdP4vDUzPTEiRNN4Yg/ens899xz+u1vfytJGj16tD788EO/rkgBfPFhsy01qUmxGtu/q0HVAAAAAACaC+i6/qFDh0qSdu/eLbvd3ua87du3t3hOR7366qv66U9/2vRaH3/8sTp37nxOrwl0lMvl0geb3cORydlpsphNBlUEAAAAAGguoOFITk6OpNNbZjZs2NDmvFWrVjXdHj9+fIev9/bbb+vBBx+UJGVmZmr58uVNq1cAI2w/dEp7jla5jXFKDQAAAACEloCGIzfeeGPT7TfeeKPVOU6nU2+99ZYkKSUlRRMmTOjQtRYsWKD77rtPLpdL6enpWrFihXr35kMojNV81UiflHiN7ptiTDEAAAAAgFYFNBwZO3asLrvsMknS3Llz9eWXX7aYM3v2bG3btk2S9JOf/EQ2m83t8TfffFMmk0kmk0lPP/10q9f55JNP9L3vfU8Oh0Opqalavny5+vXr59efBfCVy+VqcUrNdcPTZDKxpQYAAAAAQknATqtp9PLLL2v8+PGqqanRtddeq1mzZmnChAmqqanRvHnzmk6UycrK0syZM31+/a+++ko33XST6uvrZbPZ9NJLL6mhoUHffPNNm89JT09XSkpKR38kwCtbisp18Hi12xhbagAAAAAg9AQ8HBk1apTee+893XnnnaqoqNCsWbNazMnKytKSJUvcjv/11kcffaTq6tMfQBsaGnTHHXd4fM4bb7yhe++91+drAb5ovqWmX7dOOr93skHVAAAAAADaEtBtNY2uv/56bdmyRY888oiysrLUqVMnpaSk6KKLLtJzzz2nTZs2aeDAgcEoBQgKp9OlJfnuW2quH9GbLTUAAAAAEIJMLpfLZXQRkaCoqEgZGRmSpMLCQqWnpxtcEYy0bv9xfefP7j12Pn74cg3u5fvqKAAAAADAGYH4/B2UlSNAtPmw2ZaarJ6JBCMAAAAAEKIIRwA/czhdWpJ/yG3suuE0YgUAAACAUEU4AvjZl3vKVFZZ5zZ23fA0g6oBAAAAAHgS8NNqgGhRUFKhObl7tSjPfUvNgNQEZfZINKgqAAAAAIAnhCOAHyzKK9bM+Ztld7bsb7zvaJUW5RVr6sg+BlQGAAAAAPDk/2/v3qOjqO//j792swmJuZBQwAYDhItRUL5WCCgVyq0BBVFBi7ci8EPlVOspCgeVfkHUH94KpXpatS2IhQNGaiMil+oPUCRGGhCMWC4CYgDlFokJl4Rks/P7A7NmN9lkd5OdzWaej3Nyzmb2M/P+DJ+z4ZNXZj7DbTVAI+36ttRnMCJJLkOatqJAu74tNblnAAAAAAB/EI4AjbQw9yufwUg1p8vQotyDJvUIAAAAABAIwhGgEVwuQ+u8nkzjy9qdR+VqIEQBAAAAAJiPcARohHJnlcoqq/xqW1ZZpXKnf20BAAAAAOYhHAEaIdYRpbjoKL/axkVHKdbhX1sAAAAAgHkIR4BGsNttuqHXT/1qO7JXqux2W4h7BAAAAAAIFOEI0Ej3DuiqqAZCD4fdpskDupjUIwAAAABAIAhHgEbq2SFJ4zLTfL7vsNs0f9xV6tkhycReAQAAAAD85Qh3B4CWoLTcWWtbXHSURvZK1eQBXQhGAAAAAKAZIxwBGqnKZSh3X5HHtqdvvkJ3X9OZNUYAAAAAIAJwWw3QSAVHvldJWaXHtl/2vJhgBAAAAAAiBOEI0Eib9p70+D7j4gSlto4LU28AAAAAAIEiHAEaadOXnuHIoIx2YeoJAAAAACAYhCNAIxSfrdDnR7732DYoo314OgMAAAAACArhCNAIufuL5DJ+/D422q7M9JTwdQgAAAAAEDDCEaARvG+p6d/1J4qNjgpTbwAAAAAAwSAcAYJkGIY+Yr0RAAAAAIh4hCNAkPYcO60Tp897bPsF4QgAAAAARBzCESBI3rfUdGwTpy5t48PUGwAAAABAsAhHgCBt2lv7lhqbzRam3gAAAAAAgkU4AgTh7HmnthWe8tj2i0u5pQYAAAAAIhHhCBCETw58p8qqH5/h67Db9PPubcPYIwAAAABAsAhHgCB4rzeSmZ6ihFaOMPUGAAAAANAYhCNAED7a5xmO8JQaAAAAAIhchCNAgL4uOqvC7855bBtEOAIAAAAAEYtwBAiQ9y017RJbqWdqUph6AwAAAABoLMIRIEAfeYUjAy9tyyN8AQAAACCCEY4AATjvrFLege88tnFLDQAAAABENsIRIADbvi5WWWWV+3ubTRp4KeEIAAAAAEQywhEgAN631PzPJa3VJj4mTL0BAAAAADQFwhEgAN6LsXJLDQAAAABEPsIRwE/HSsq159hpj22DLiMcAQAAAIBIRzgC+OmjfZ5XjSTGOnRVWnJ4OgMAAAAAaDKEI4CfvG+pGXhpWzmi+AgBAAAAQKTjNzvAD84ql3L3FXlsY70RAAAAAGgZCEcAPxQcKVFJWaXHtl8QjgAAAABAi0A4AvjB+xG+GRcnKLV1XJh6AwAAAABoSoQjgB94hC8AAAAAtFyEI0ADis9WqODI9x7buKUGAAAAAFoOwhGgAbn7i2QYP34fG21X3/Q24esQAAAAAKBJEY4ADfC+paZ/158oNjoqTL0BAAAAADQ1whGgHoZhaNPeEx7buKUGAAAAAFoWR7g7ADRXu74t1fz/t1cnz1R4bE9L5ik1AAAAANCScOUIUId3PvtGN/05Vxt2n6j13m+Wbdc7n30Thl4BAAAAAEKBcATwsuvbUk1bUSCny6jzfafL0LQVBdr1banJPQMAAAAAhALhCOBlYe5XPoORak6XoUW5B03qEQAAAAAglAhHgBpcLkPrdh7zq+3anUflaiBEAQAAAAA0f4QjQA3lziqVVVb51basskrlTv/aAgAAAACaL8IRoIZYR5TioqP8ahsXHaVYh39tAQAAAADNF+EIUIPdbtMNvX7qV9uRvVJlt9tC3CMAAAAAQKgRjgBe7h3QVVENhB4Ou02TB3QxqUcAAAAAgFAiHAG89OyQpJuu6uDzfYfdpvnjrlLPDkkm9goAAAAAECqOcHcAaI7O17HQalx0lEb2StXkAV0IRgAAAACgBSEcAbwYhqFPC4s9tv3fm6/UXdd0Yo0RAAAAAGiBuK0G8HKkuEzHS897bOvf/ScEIwAAAADQQhGOAF68rxpJuShaXdvGh6k3AAAAAIBQIxwBvHiHI306p8hm46oRAAAAAGipCEcAL9tqhSNtwtQTAAAAAIAZCEeAGk6XV2rvsVKPbZnpKWHqDQAAAADADIQjQA07Dn0vl/Hj99FRNvW6pHX4OgQAAAAACDnCEaAG7/VGrryktWKjo8LUGwAAAACAGQhHgBq8w5HMztxSAwAAAAAtHeEI8ANnlUs7DtV+Ug0AAAAAoGUjHAF+sPf4aZ2tqPLYxpNqAAAAAKDlIxwBfuB9S03nn1ykdomtwtQbAAAAAIBZCEeAH2z72uuWmk7cUgMAAAAAVkA4AvzA+8qRPumEIwAAAABgBYQjgKRjJeX65vsyj22ZrDcCAAAAAJZAOAJI2lZ4yuP7xFiHLm2fEKbeAAAAAADMRDgCqPZ6I707pchut4WpNwAAAAAAMxGOAJK2H/IMRzI7s94IAAAAAFgF4Qgs71yFU//9ttRjG4uxAgAAAIB1EI7A8j47/L2qXIb7+yi7TT/rmBy+DgEAAAAATEU4Asvb7vUI356pSbooxhGm3gAAAAAAzEY4Asvb5hWO9GG9EQAAAACwFMIRWJrLZdS6coRwBAAAAACshXAElrb/5BmVljs9tmWyGCsAAAAAWArhCCxt29eeV41ckhyn1NZxYeoNAAAAACAcCEdgadsKT3l835tbagAAAADAcghHYGne641kEo4AAAAAgOUQjsCyTp4+r6+/O+exjcVYAQAAAMB6CEdgWZ96XTUSHxOly3+aGKbeAAAAAADChXAElvWp13ojP+uULEcUHwkAAAAAsBp+E4RleV850qdzmzD1BAAAAAAQToQjsKTyyip98U2pxzYWYwUAAAAAayIcgSXt/KZEFVUu9/c224XbagAAAAAA1kM4AkvyvqXmsosTlRQbHabeAAAAAADCiXAElrTta89wJDOdW2oAAAAAwKoIR2A5hmFo+yHvxVgJRwAAAADAqghHYDkHi87q1NkKj22ZPKkGAAAAACyLcASWs81rvZH2ia2UlhIXpt4AAAAAAMLNtHDk0KFDmj59unr06KH4+Hi1adNG/fr107x583Tu3Lkmq5Odna0RI0YoNTVVsbGxSk9P1/jx47Vly5Ymq4HI9unXtW+psdlsYeoNAAAAACDcHGYUWbNmje6++26VlJS4t507d05bt27V1q1btXDhQq1du1Zdu3YNukZ5ebl+9atfafXq1R7bCwsLVVhYqOXLl2vOnDmaNWtW0DXQMmwrPOXxPeuNAAAAAIC1hfzKkYKCAo0bN04lJSVKSEjQ3LlzlZeXpw0bNui+++6TJO3du1ejRo3SmTNngq4zefJkdzAyZMgQrVy5Uvn5+Vq0aJG6desml8ul2bNna+HChU1yXohMxWcrdODkWY9tmemsNwIAAAAAVhbyK0emTp2qc+fOyeFw6P3331f//v3d7w0dOlSXXnqpZsyYoT179uiPf/yjZs+eHXCNTZs2afny5ZKk0aNH6+2331ZUVJQkqW/fvrrpppvUp08fHTp0SDNmzNBtt92m5OTkJjm/SOdyGSp3VinWESW7veFbSyK9vfdTamKj7bqiQ1KD+wEAAAAAWi6bYRhGqA6+detW9evXT5I0ZcoUvfrqq7XauFwuXXnlldq9e7dSUlJ0/PhxRUdHB1Rn1KhRWrt2raKiovT1118rLS2tVpvs7GzdeeedkqR58+Zp2rRpQZyRb0eOHFHHjh0lSYcPH66zD83Jrm9LtTD3K63beUxllVWKi47SDb1+qnsHdFXPOsKCSG9fvc/UN3foy+M/XqH0k4QYLf0/1/jcBwAAAADQvITi9++Q3lazcuVK9+tJkybV3QG7Xffcc48kqbi4WB9++GFANc6cOaMNGzZIkrKysnz+o4wdO1ZJSRd+Ac7JyQmoRkvzzmff6KY/5ypn+zcqq6ySJJVVViln+4Xt73z2TYtqX3OfmsGIJH13psLnPgAAAAAAawjpbTWbN2+WJMXHx6tPnz4+2w0aNMj9Ojc3V1lZWX7XyM/P1/nz52sdx1tMTIyuvfZavf/++8rPz1dlZWXAV6i0BLu+LdW0FQVyuuq+YMjpMvTIigIlxUare/sE7T9xRo+sKFBVhLaX5Nc+01YU6NL2iVxBAgAAAAAWFNJwZPfu3ZKk7t27y+HwXeryyy+vtU+gNbyP46vO+++/L6fTqX379qlnz55+1zly5Ei97x89etTvY4XTwtyvfAYj1apchia9vtXvY0Z6e+lCQLIo96Dmj7sqoP0AAAAAAJEvZOFIeXm5ioqKJKnB+39SUlIUHx+vs2fP6vDhwwHVqdm+oTrV9yRV7xdIOFJz30jlchlat/NYuLvRbK3deVR/uO1//FrYFQAAAADQcoRszZHTp0+7XyckJDTYPj4+XpICfpxvIHWqawRTpyUod1a51+hAbWWVVSp38u8DAAAAAFYT0itHqsXExDTYvlWrVpKksrKykNWprhFMnYauaDl69Kj7yTzNVawjSnHRUQQkPsRFRynWERXubgAAAAAATBayK0diY2PdrysqKhpsX72oalxcXMjqVNcIpk5aWlq9X6mpqQEdLxzsdptu6PVTv9re8rMO2v3U9br5Zx0iun0g+4zslcotNQAAAABgQSELRxITE92v/bmF5ezZs5L8uwUn2DrVNYKp01LcO6CrHA0EAA67Tff/opviYqI05RfdIrp9IPtMHtCl3jYAAAAAgJYppFeOtG3bVlLDT3opLi52BxeBLnxacxHWhurUvDWmJSywGoyeHZI0f9xVPsMCh92m+eOucj/SNtLbB7sPAAAAAMA6Qvoo3x49emjz5s3av3+/nE6nz8f57tmzx2OfQNR84kzN49RXx+FwqHv37gHVaUlu/tklurR9ohblHtTanUdVVlmluOgojeyVqskDutQKCSK9fbD7AAAAAACswWYYhhGqg8+cOVPPPvusJGnLli265ppr6mz33HPP6fHHH5ckvffeexo+fLjfNU6fPq22bduqoqJC119/vdatW1dnu4qKCrVr106lpaXq37+/8vLyAjyb+h05csR9Ncrhw4cbfKxwc+FyGSp3VinWEeXXehuR3j7YfQAAAAAAzUMofv8O2W01knTLLbe4Xy9evLjONi6XS0uWLJEkJScna8iQIQHVSExM1LBhwyRJ69ev93lrTU5OjkpLSyVJY8aMCahGS2a323RRjMPvkCDS2we7DwAAAACg5QppONKvXz8NHDhQkrRo0SJ98skntdrMnz9fu3fvliT97ne/U3R0tMf7r7/+umw2m2w2m+bMmVNnnenTp0uSnE6nHnzwQVVVeT6qtqioSI8++qikCwHMvffe26jzAgAAAAAALUdIwxFJevHFFxUXFyen06nhw4fr2Wef1ZYtW/TBBx9oypQpmjFjhiQpIyND06ZNC6rG0KFDdccdd0iSVq1apaysLK1atUrbtm3T4sWLde211+rQoUOSLtzCk5KS0jQnBwAAAAAAIl5IF2SVpKuvvlpvvvmmfv3rX6u0tFQzZ86s1SYjI0Nr1qzxeCxvoF577TWVlpZq7dq1+uCDD/TBBx94vG+32zVr1ixNmTIl6BoAAAAAAKDlCfmVI5I0evRoff7553r44YeVkZGhiy66SMnJycrMzNTzzz+vHTt2NPrpMXFxcVqzZo2WLVumrKwstW/fXjExMerYsaPuuusu5ebm+rwtBwAAAAAAWFdIn1ZjJZH6tBoAAAAAACJJxD2tBgAAAAAAoLkjHAEAAAAAAJZGOAIAAAAAACyNcAQAAAAAAFga4QgAAAAAALA0whEAAAAAAGBphCMAAAAAAMDSCEcAAAAAAIClEY4AAAAAAABLIxwBAAAAAACWRjgCAAAAAAAsjXAEAAAAAABYGuEIAAAAAACwNMIRAAAAAABgaYQjAAAAAADA0ghHAAAAAACApRGOAAAAAAAASyMcAQAAAAAAlkY4AgAAAAAALM0R7g60FE6n0/366NGjYewJAAAAAAAtV83fuWv+Lt4YhCNN5OTJk+7X/fr1C2NPAAAAAACwhpMnTyo9Pb3Rx+G2GgAAAAAAYGk2wzCMcHeiJSgvL9fOnTslSe3atZPD0fwvyjl69Kj7Kpf8/HylpqaGuUcIBca55WOMrYFxtgbG2RoYZ2tgnK2BcQ4Pp9PpvnujV69eio2NbfQxm/9v8BEiNjZWffv2DXc3gpaamqq0tLRwdwMhxji3fIyxNTDO1sA4WwPjbA2MszUwzuZqiltpauK2GgAAAAAAYGmEIwAAAAAAwNIIRwAAAAAAgKURjgAAAAAAAEsjHAEAAAAAAJZGOAIAAAAAACyNcAQAAAAAAFiazTAMI9ydAAAAAAAACBeuHAEAAAAAAJZGOAIAAAAAACyNcAQAAAAAAFga4QgAAAAAALA0whEAAAAAAGBphCMAAAAAAMDSCEcAAAAAAIClEY4AAAAAAABLIxwBAAAAAACWRjgCAAAAAAAsjXAkwh06dEjTp09Xjx49FB8frzZt2qhfv36aN2+ezp0712R1srOzNWLECKWmpio2Nlbp6ekaP368tmzZ0mQ14Fsox7m0tFTZ2dm677771Lt3byUnJysmJkbt2rXT4MGDNW/ePH3//fdNcyKol1mf55qOHj2q5ORk2Ww22Ww2DR48OCR18CMzx3n9+vWaOHGiunfvrvj4eLVu3VoZGRm67bbb9Morr+jMmTNNWg8/MmOcd+3apYceeki9evVSUlKS+2f3kCFDtGDBAp0+fbpJ6sDTiRMntHr1as2ePVs33HCD2rZt6/4ZOnHixJDUZB5mPrPGmXlYeIXj81wT87BmxkDEWr16tdG6dWtDUp1fl112mXHgwIFG1SgrKzNuvPFGnzXsdrvx1FNPNdEZoS6hHOe1a9carVq18nns6q+LL77Y2LhxYxOfGWoy4/Ncl1tvvdWjzqBBg5q8Bn5k1jifOnXKuPnmmxv8bO/YsaPxJ4VazBjnefPmGQ6Ho97x7dy5s1FQUNBEZ4Vq9f2bT5gwoUlrMQ8LHzPGmXlY+Jn5ea4L87DmhStHIlRBQYHGjRunkpISJSQkaO7cucrLy9OGDRt03333SZL27t2rUaNGNeovg5MnT9bq1aslSUOGDNHKlSuVn5+vRYsWqVu3bnK5XJo9e7YWLlzYJOcFT6Ee5++++07nz5+X3W7XiBEjtGDBAm3cuFHbt2/XqlWrdPvtt0uSjh8/rhtvvFGfffZZU54efmDW59nbu+++q3/9619q3759kx0Tvpk1ziUlJcrKytI777wjSRo1apSWLl2qTz75RLm5uVq2bJmmTp2qtLS0JjkveDJjnFesWKHp06fL6XQqJiZGDz/8sNasWaP//Oc/Wr58uQYMGCBJKiws1PXXX6+SkpImOz946tixo4YPHx6y4zMPax5CNc7Mw5qXUH+evTEPa4bCnc4gOIMHDzYkGQ6Hw8jLy6v1/gsvvOBOIJ988smganz44YfuY4wePdpwOp0e7588edLo1KmTIclISUkxiouLg6oD30I9ztnZ2caUKVOMwsJCn21eeukld42hQ4cGXAMNM+Pz7O306dNGx44dDUnGkiVL+IuFCcwa5/Hjx7vrZGdn+2zncrmMysrKoOugbmaM85VXXuk+xurVq+tsM3bsWHeb+fPnB1UHdZs9e7bx7rvvGseOHTMMwzAOHjwYkr80Mw8LLzPGmXlY+Jn1efbGPKx5IhyJQPn5+e4P0JQpU+psU1VVZfTo0cP9H2ZFRUXAdUaOHGlIMqKioozDhw/X2eaNN95w92XevHkB14BvZo2zPzIzM92X7xYVFYWkhlWFa5wfeughQ5IxZMgQwzAM/lMOMbPGefPmze46c+bMaWy3ESAzxrmkpMRdo3fv3j7bFRQUuNvdeuutAdVAYEL1yxTzsObFrF+a68I8zDxmjTPzsOaJ22oi0MqVK92vJ02aVGcbu92ue+65R5JUXFysDz/8MKAaZ86c0YYNGyRJWVlZPi+/Hjt2rJKSkiRJOTk5AdVA/cwYZ39VLw7lcrl08ODBkNSwqnCMc35+vv7yl78oJiZGr7zySqOOBf+YNc5//vOfJUkJCQmaNm1awPujccwY54qKCvfrrl27+mzXrVs39+vz588HVAPhxzwMNTEPa1mYhzVfhCMRaPPmzZKk+Ph49enTx2e7QYMGuV/n5uYGVCM/P989map5HG8xMTG69tpr3ftUVlYGVAe+mTHO/qo5sbbb+bHRlMweZ6fTqfvvv18ul0uPPvqoLrvssqCPBf+ZMc4VFRXudUZuuOEGJSQkSLow5oWFhTp06JDHL9ZoemaMc9u2bdWmTRtJ0ldffeWz3YEDB9yvMzIyAqqB8GMehpqYh7UczMOaNz5dEWj37t2SpO7du8vhcPhsd/nll9faJ9Aa3sepr47T6dS+ffsCqgPfzBhnf23atEmS5HA41L1795DUsCqzx3nevHkqKChQt27dNHPmzKCPg8CYMc4FBQUqLy+XJPXv31/Hjh3TpEmTlJycrPT0dHXu3FmtW7fWyJEjlZeXF8RZoCFmfZ7vv/9+SdL27du1bt26Ots8/fTTkqSoqCjde++9AddAeDEPQ03Mw1oO5mHNG+FIhCkvL1dRUZEkNfikgZSUFMXHx0uSDh8+HFCdmu0bqtOxY8c690PwzBpnf6xZs0aff/65JGnEiBHuy3fReGaP81dffaWnnnpKkvTyyy8rNjY2qOMgMGaN865duzxq9urVS6+//rrOnj3rsX3dunUaOHCg/vSnPwV0fNTPzM/z73//e/3yl7+UJI0ZM0bTp0/XunXrtHXrVr355psaPHiw3nrrLUVFRemll15Sjx49Aq6B8GIehmrMw1oO5mHNH+FIhDl9+rT7dfUl0/WpnnwF+rjAQOpU1wimDupm1jg35NSpU3rwwQclXfjrY/VfItE0zB7nKVOmqKysTLfffrupj6qzOrPG+dSpU+7XTz75pIqKinTjjTdq27ZtKi8v1/Hjx/Xyyy8rKSlJLpdLjzzyiM+rDhA4Mz/PCQkJWrdunf7+978rLS1N8+fP18iRI9WvXz/dcccd2rRpk8aOHauPP/5YDzzwQMDHR/gxD4PEPKylYR7W/BGORJjqS6alC/eZNqRVq1aSpLKyspDVqa4RTB3Uzaxxrk9VVZXuvvtuFRYWSpL+93//V1dffXWTHR/mjvOSJUu0fv16JSUlacGCBQHvj+CZNc41rxA5f/68Ro8erXfeeUd9+vRRq1at1L59e/3mN7/RmjVrZLfbZRiGZsyYIcMwAqqDupn9c3vbtm164403fK47sn79ev3jH/9QaWlpUMdHeDEPA/OwloV5WGQgHIkwNS+/8mdhveoFnOLi4kJWp+YiUYHWQd3MGuf6PPDAA/r3v/8tSRo1apRmzZrVZMfGBWaNc1FRkfvJJXPnzlVqampA+6NxwvFzW5L+8Ic/1Llw34ABAzR27FhJ0hdffKEvvvgioDqom5k/t9966y0NHjxYGzduVK9evfT222/ru+++U0VFhQ4cOKBnnnlGlZWVeuWVV/Tzn/9cx44dC7gGwot5GJiHtRzMwyIH4UiESUxMdL/259LJ6r8k+nOJb7B1av61MtA6qJtZ4+zL448/rr/97W+SLvwi9c9//lNRUVFNcmz8yKxxfuSRR1RUVKTMzEwusQ+DcPzc7tKlS70r4I8YMcL9euvWrQHVQd3MGufjx49r4sSJOn/+vK644grl5eXplltuUZs2bRQdHa2uXbvq8ccf17vvviubzab//ve/euihhwI7GYQd8zBrYx7WsjAPixy+l1JHsxQbG6u2bduqqKhIR44cqbdtcXGx+z/Mmot1+aPm4l9HjhxRZmamz7Y1F/8KtA7qZtY41+X555/Xc889J0nq3bu3Vq9ezV+iQsSMcf7222+1dOlSSdLQoUO1YsWKetufOHFC2dnZki78gn3NNdf4XQt1M+vzXLN9IAs4njhxIqA6qJtZ45ydne3ed+bMmR7rTdQ0bNgwDRs2TOvXr1dOTo6Ki4uVkpISUC2ED/Mw62Ie1rIwD4sshCMRqEePHtq8ebP2798vp9Pp83GBe/bs8dgnED179qzzOPXV4fFiTcuMcfb28ssv67HHHnMf67333lPr1q0bdUzUL9TjXPNy7BdeeKHB9rt379add94pSZowYQL/KTcRMz7PV1xxhft1VVVVvW1rvl/fI2cRGDPGueYjXnv37l1v2z59+mj9+vVyuVz68ssv+TxHEOZh1sQ8rOVhHhZZuK0mAg0YMEDShcsoP/30U5/tqp+JLknXXXddQDX69u3rXgCs5nG8VVRUaMuWLbX2QeOZMc41LV26VL/97W8lSV27dtX69evVtm3boI8H/5g9zggPM8a5c+fO6tSpkyTpwIED9bat+f4ll1wSUB34ZsY41wxcnE5nvW0rKyvr3A/NH/Mw62EeBoQf4UgEuuWWW9yvFy9eXGcbl8ulJUuWSJKSk5M1ZMiQgGokJiZq2LBhki6seO/rEuGcnBz3SvhjxowJqAbqZ8Y4V8vJydGkSZNkGIbS0tK0YcMGdejQIahjITChHuf09HQZhtHgV7VBgwa5t73++utBnRNqM+vzfOutt0q6sC5FXl6ez3Y5OTnu1wMHDgy4Dupmxjh36dLF/Xrz5s31tv3oo48kSTabTenp6QHVQXgxD7MW5mEtF/OwCGMgIg0cONCQZDgcDiMvL6/W+y+88IIhyZBkPPHEE7XeX7x4cb3vG4ZhbNiwwd3mpptuMpxOp8f7J0+eNDp16mRIMpKTk41Tp041xamhBjPG+b333jNiYmIMSUb79u2NPXv2NPFZoCFmjHNDqvcfNGhQUPujYWaMc2FhoREbG2tIMvr06WOcOXOmVpulS5e6jzNq1KjGnha8hHqcd+/ebdhsNkOScckllxhHjhypsx9//etf3cfp379/Y08L9Th48KD733rChAl+7cM8LPKEapyZhzUvoRrnhjAPax64xjJCvfjii7ruuutUVlam4cOHa+bMmRoyZIjKysqUnZ3tXuE6IyPD/eioQA0dOlR33HGHsrOztWrVKmVlZWnq1Knq0KGDdu7cqblz5+rQoUOSpOeee46F3kIg1OO8ZcsWjRkzRhUVFYqOjtaCBQtUWVlZ76M909LSlJycHOwpoQ5mfJ4RfmaMc6dOnfTUU09pxowZ+vTTT9WvXz/NmDFDV155pUpKSpSTk6NXX31VkpSUlKQFCxY02fnhglCP8+WXX65Jkybptdde0zfffKOrr75aU6dO1cCBA5WYmKjDhw8rOztby5cvlyRFRUXpmWeeadJztLrc3Fzt37/f/X1RUZH79f79+2v9tXfixIlB1WEeFl5mjDPzsPAz6/OMCBHudAbBW7VqlZGUlOROGr2/MjIyjH379tW5r78J57lz54yRI0f6rGG324NOSOGfUI7zE0884fO4vr4WL14c2hO2KDM+z/Wp3p+/WISWWeP82GOPua8uqOurffv2dV7VgKYR6nEuLy83br/99gZ/XsfHxxvLli0L4Zla04QJEwL6f7MuzMOaPzPGmXlY+Jn5ea4P87DmgTVHItjo0aP1+eef6+GHH1ZGRoYuuugiJScnKzMzU88//7x27NjR6FXL4+LitGbNGi1btkxZWVlq3769YmJi1LFjR911113Kzc3VnDlzmuaEUCczxhnhxzhbg1nj/Oyzz+rjjz/W+PHjlZ6erlatWql169bq27evnn76aX355Zfq379/E5wR6hLqcW7VqpWys7O1ceNG3XPPPcrIyFB8fLwcDofatGmj/v37a9asWdqzZ4/uuuuuJjwzmI15GACYx2YYNVaAAQAAAAAAsBiuHAEAAAAAAJZGOAIAAAAAACyNcAQAAAAAAFga4QgAAAAAALA0whEAAAAAAGBphCMAAAAAAMDSCEcAAAAAAIClEY4AAAAAAABLIxwBAAAAAACWRjgCAAAAAAAsjXAEAAAAAABYGuEIAAAAAACwNMIRAAAAAABgaYQjAAAAAADA0ghHAAAAAACApRGOAAAAAAAASyMcAQAAAAAAlkY4AgAAAAAALI1wBAAAAAAAWBrhCAAAAAAAsDTCEQAAAAAAYGmEIwAAAAAAwNIIRwAAAAAAgKURjgAAAAAAAEv7//plX19NGKlxAAAAAElFTkSuQmCC", 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "plantcont = ct.tf(.5, (0.1, 1), inputs='u', outputs='y')\n", + "u_summer = ct.summing_junction(inputs=['-y', 'r'], outputs='e')\n", + "\n", + "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", + "# system from r to y\n", + "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer], \n", + " inputs='r', outputs=['y', 'u'])\n", + "\n", + "# simulate\n", + "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", + "y, u = y # extract respones\n", + "plt.plot(t, y, '.-', label='y')\n", + "plt.legend()\n", + "plt.figure()\n", + "plt.plot(t, u, '.-', label='u')\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "id": "fb9c601d", + "metadata": {}, + "source": [ + "## time delays\n", + "\n", + "Given that all of the interconnected systems are being simulated in discrete-time with the same small time interval `simulation_dt`, we can construct a system that implements time delays by suitable choice of $A, B, C, $ and $D$ matrices. For example, a 3-step delay has the form \n", + "\n", + "$x[k+1] = \\begin{bmatrix}0 & 0 & 0\\\\ 1 & 0 & 0\\\\ 0 & 1 & 0\\end{bmatrix}x[k]+\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}u[k]$
\n", + "\n", + "$~~~~~~~y[k]=\\begin{bmatrix}0 & 0 & 1\\end{bmatrix}x[k]$ \n", + "\n", + "The following function creates an arbitrarily-long time delay system, up to the nearest $dt$. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "92767723", + "metadata": {}, + "outputs": [], + "source": [ + "def time_delay_system(delay, dt, inputs=1, outputs=1, **kwargs):\n", + " \"\"\"\n", + " creates a pure time delay discrete-time system. \n", + " time delay is equal to nearest whole number of `dt`s.\"\"\"\n", + " assert delay >= 0, \"delay must be greater than or equal to zero\"\n", + " n = int(round(delay/dt))\n", + " ninputs = inputs if isinstance(inputs, (int, float)) else len(inputs)\n", + " assert ninputs == 1, \"only one input supported\"\n", + " A = np.eye(n, k=-1)\n", + " B = np.eye(n, 1)\n", + " C = np.eye(1, n, k=n-1)\n", + " D = np.zeros((1,1))\n", + " return ct.ss(A, B, C, D, dt, inputs=inputs, outputs=outputs, **kwargs)" + ] + }, + { + "cell_type": "markdown", + "id": "5a5e6f76", + "metadata": {}, + "source": [ + "The step response of the time-delay system is shifted to the right." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e82445c4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\n", + "\\begin{array}{ll}\n", + "A = \\left(\\begin{array}{rllrllrllrllrll}\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "&\n", + "B = \\left(\\begin{array}{rll}\n", + "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "\\\\\n", + "C = \\left(\\begin{array}{rllrllrllrllrll}\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "&\n", + "D = \\left(\\begin{array}{rll}\n", + "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", + "\\end{array}\\right)\n", + "\\end{array}~,~dt=0.02\n", + "$$" + ], + "text/plain": [ + "['ud']>" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "delayer = time_delay_system(.1, simulation_dt, inputs='u', outputs='ud')\n", + "t, y = ct.input_output_response(delayer, time, step_input) \n", + "plt.plot(time, step_input, 'r.-', label='input')\n", + "plt.plot(t, y, '.-', label='output')\n", + "plt.legend()\n", + "delayer" + ] + }, + { + "cell_type": "markdown", + "id": "862ce22c", + "metadata": {}, + "source": [ + "We can incorporate this delay into our closed-loop system. The time delay shifts the response to the right and brings the system closer to instability." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d8f6e5b3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# incorporate delay into system by relabeling plant input signal\n", + "plant_simulator = ct.ss(plant_simulator, inputs='ud', outputs='y')\n", + "\n", + "# system from r to y\n", + "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer, delayer], \n", + " inputs='r', outputs='y')\n", + "\n", + "# simulate\n", + "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", + "plt.plot(t, y, '.-');" + ] + }, + { + "cell_type": "markdown", + "id": "c6c41775", + "metadata": {}, + "source": [ + "We can also observe how the dynamics behave with a nonlinear plant." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "83655c36", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 547 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "def nonlinear_plant_dynamics(t, x, u, params):\n", + " return -10 * x * abs(x) + u\n", + "def nonlinear_plant_output(t, x, u, params):\n", + " return 5 * x\n", + "nonlinear_plant = ct.ss(nonlinear_plant_dynamics, nonlinear_plant_output, \n", + " inputs='ud', outputs='y', states=1)\n", + "\n", + "# compare step responses \n", + "t, y = ct.input_output_response(nonlinear_plant, time, step_input)\n", + "plt.plot(t, y, label='nonlinear')\n", + "t, y = ct.step_response(plantcont, 1.5)\n", + "plt.plot(t, y, label='linear')\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "id": "a7a163d6", + "metadata": {}, + "source": [ + "## now create a closed-loop system. \n", + "\n", + "Note that this system is not intended to show operation of well-designed feedback control system. " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "dce984be", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 546 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# create zero-order hold approximation of plant2 dynamics\n", + "def discrete_nonlinear_plant_dynamics(t, x, u, params):\n", + " return x + simulation_dt * nonlinear_plant_dynamics(t, x, u, params)\n", + "nonlinear_plant_simulator = ct.ss(discrete_nonlinear_plant_dynamics, nonlinear_plant_output, \n", + " dt=simulation_dt,\n", + " inputs='ud', outputs='y', states=1)\n", + "\n", + "# system from r to y\n", + "nonlinear_Gyr_simulator = ct.interconnect([controller_simulator, nonlinear_plant_simulator, u_summer, delayer], \n", + " inputs='r', outputs=['y', 'u'])\n", + "\n", + "# simulate\n", + "t, y = ct.input_output_response(nonlinear_Gyr_simulator, time, step_input)\n", + "plt.plot(t, y[0],'.-');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f0fe24a2", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From c7036508d0b0e696c8ceae8e6cce8a4ad1afc14d Mon Sep 17 00:00:00 2001 From: Sawyer Fuller Date: Mon, 10 Apr 2023 21:18:47 -0700 Subject: [PATCH 5/5] shorten long filename --- doc/examples.rst | 2 +- ...d_nonlinear_and_sampled_data_systems.ipynb | 585 ------------------ 2 files changed, 1 insertion(+), 586 deletions(-) delete mode 100644 examples/interconnected_nonlinear_and_sampled_data_systems.ipynb diff --git a/doc/examples.rst b/doc/examples.rst index ef05d6d25..02330f903 100644 --- a/doc/examples.rst +++ b/doc/examples.rst @@ -53,6 +53,6 @@ online sources. mpc_aircraft pvtol-lqr-nested pvtol-outputfbk - interconnected_nonlinear_and_sampled_data_systems + simulating_discrete_nonlinear steering stochresp diff --git a/examples/interconnected_nonlinear_and_sampled_data_systems.ipynb b/examples/interconnected_nonlinear_and_sampled_data_systems.ipynb deleted file mode 100644 index 5c5306029..000000000 --- a/examples/interconnected_nonlinear_and_sampled_data_systems.ipynb +++ /dev/null @@ -1,585 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "e2b51597", - "metadata": {}, - "source": [ - "# simulating Simulink-like interconnections of systems including nonlinear and sampled-data systems \n", - "Sawyer B. Fuller 2023.03" - ] - }, - { - "attachments": { - "image-4.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "6934e483", - "metadata": {}, - "source": [ - "This example creates a precise simulation of a sampled-data control system consisting of discrete-time controller(s) and continuous-time plant dynamics like the following.\n", - "![image-4.png](attachment:image-4.png)" - ] - }, - { - "cell_type": "markdown", - "id": "02dab3bc", - "metadata": {}, - "source": [ - "In many cases, it is sufficient to use a discretized model of your plant using a zero-order-hold for control design because it is exact at the sampling instants. However, a more complete simulation of your sampled-data feedback control system may be desired if you want to additionally \n", - "\n", - "* observe behavior that occurs between sampling instants,\n", - "* model the effect of time delays,\n", - "* simulate your controller operating with a nonlinear plant, which may not have an exact zero-order-hold discretization\n", - "\n", - "Here, we include helper functions that can be used in conjunction with the Python Control Systems Library to create a simulation of such a closed-loop system, providing a Simulink-like interconnection system. \n", - "\n", - "Our approach is to discretize all of the constituent systems, including the plant and controller(s) with a much shorter time step `simulation_dt` that we specify. With this, behavior that occurs between the sampling instants of our discrete-time controller can be observed. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "5ffaa0e8", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np # arrays\n", - "import matplotlib.pyplot as plt # plots \n", - "%config InlineBackend.figure_format='retina' # high-res plots\n", - "\n", - "import control as ct # control systems library" - ] - }, - { - "cell_type": "markdown", - "id": "39555216", - "metadata": {}, - "source": [ - "We will assume the controller is a discrete-time system of the form\n", - "\n", - "$x[k+1] = f(x[k], u[k])$
$~~~~~~~y[k]=g(x[k],u[k])$ \n", - "\n", - "For this course we will primarily work with linear systems of the form \n", - "\n", - "$x[k+1] = Ax[k]+Bu[k]$
$~~~~~~~y[k]=Cx[k]+Du[k]$ \n", - "\n", - "The plant is assumed to be continuous-time, of the form \n", - "\n", - "$\\dot x = f(x(t), u(t))$,
$y = g(x(t), u(t))$\n", - "\n", - "For this course, we will design our controller using a linearized model of the plant given by \n", - "\n", - "$\\dot x = Ax + Bu$,
$y = Cx + Du$ " - ] - }, - { - "cell_type": "markdown", - "id": "36d410a9", - "metadata": {}, - "source": [ - "The first step to create our interconnected system is to create a discrete-time model of the plant, which uses the short time interval `simulation_dt`. Each subsystem gets signal names according to the diagram above, and we use `interconnect` to automatically connect signals of the same name. " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "852cb7dd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 434, - "width": 547 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "# continuous-time plant model\n", - "plantcont = ct.tf(1, (0.03, 1), inputs='u', outputs='y')\n", - "t, y = ct.step_response(plantcont, 0.1)\n", - "plt.plot(t, y, label='continouous-time model')\n", - "\n", - "# create discrete-time simulation form assuming a zero-order hold\n", - "simulation_dt = 0.02 # time step for numerical simulation (\"numerical integration\")\n", - "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", - "\n", - "t, y = ct.step_response(plant_simulator, 0.1)\n", - "plt.plot(t, y, '.-', label='discrete-time model')\n", - "plt.legend()\n", - "plt.xlabel('time (s)');" - ] - }, - { - "cell_type": "markdown", - "id": "17955fa7", - "metadata": {}, - "source": [ - "Next we create a model of a sampled-data controller that operates as a nonlinear discrete-time system with a much shorter time step than the controller's sampling time `Ts`. " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "654c2948", - "metadata": {}, - "outputs": [], - "source": [ - "def sampled_data_controller(controller, plant_dt): \n", - " \"\"\"\n", - " Create a (discrete-time, non-linear) system that models the behavior \n", - " of a digital controller. \n", - " \n", - " The system that is returned models the behavior of a sampled-data \n", - " controller, consisting of a sampler and a digital-to-analog converter. \n", - " The returned system is discrete-time, and its timebase `plant_dt` is \n", - " much smaller than the sampling interval of the controller, \n", - " `controller.dt`, to insure that continuous-time dynamics of the plant \n", - " are accurately simulated. This system must be interconnected\n", - " to a plant with the same dt. The controller's sampling period must be \n", - " greater than or equal to `plant_dt`, and an integral multiple of it. \n", - " The plant that is connected to it must be converted to a discrete-time \n", - " approximation with a sampling interval that is also `plant_dt`. A \n", - " controller that is a pure gain must have its `dt` specified (not None). \n", - " \"\"\"\n", - " assert ct.isdtime(controller, True), \"controller must be discrete-time\"\n", - " controller = ct.ss(controller) # convert to state-space if not already\n", - " # the following is used to ensure the number before '%' is a bit larger \n", - " one_plus_eps = 1 + np.finfo(float).eps \n", - " assert np.isclose(0, controller.dt*one_plus_eps % plant_dt), \\\n", - " \"plant_dt must be an integral multiple of the controller's dt\"\n", - " nsteps = int(round(controller.dt / plant_dt))\n", - " step = 0\n", - " def updatefunction(t, x, u, params): # update if it is time to sample \n", - " nonlocal step\n", - " if step == 0:\n", - " x = controller._rhs(t, x, u)\n", - " step += 1\n", - " if step == nsteps:\n", - " step = 0\n", - " return x\n", - " y = np.zeros((controller.noutputs, 1))\n", - " def outputfunction(t, x, u, params): # update if it is time to sample\n", - " nonlocal y\n", - " if step == 0: # last time updatefunction was called was a sample time\n", - " y = controller._out(t, x, u) \n", - " return y\n", - " return ct.ss(updatefunction, outputfunction, dt=plant_dt, \n", - " name=controller.name, inputs=controller.input_labels, \n", - " outputs=controller.output_labels, states=controller.state_labels)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "80836738", - "metadata": {}, - "outputs": [], - "source": [ - "# create discrete-time controller with some dynamics\n", - "controller_Ts = .1 # sampling interval of controller\n", - "controller = ct.tf(1, [1, -.9], controller_Ts, inputs='e', outputs='u')\n", - "\n", - "# create model of controller with a much shorter sampling time for simulation\n", - "controller_simulator = sampled_data_controller(controller, simulation_dt)" - ] - }, - { - "cell_type": "markdown", - "id": "30567aaa", - "metadata": {}, - "source": [ - "If the model is simulated with a short time step, its staircase output behavior can be observed. Because the controller model is nonlinear, we must use `ct.input_output_response`." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "39e9b769", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 414, - "width": 534 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "time = np.arange(0, 1.5, simulation_dt)\n", - "step_input = np.ones_like(time)\n", - "t, y = ct.input_output_response(controller_simulator, time, step_input)\n", - "plt.plot(t, y, '.-');" - ] - }, - { - "cell_type": "markdown", - "id": "1020f95a", - "metadata": {}, - "source": [ - "## simulating a closed-loop system\n", - "\n", - "Now we are able to construct a closed-loop simulation of the full sampled-data system. " - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f8675193", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 413, - "width": 547 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plantcont = ct.tf(.5, (0.1, 1), inputs='u', outputs='y')\n", - "u_summer = ct.summing_junction(inputs=['-y', 'r'], outputs='e')\n", - "\n", - "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n", - "# system from r to y\n", - "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer], \n", - " inputs='r', outputs=['y', 'u'])\n", - "\n", - "# simulate\n", - "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", - "y, u = y # extract respones\n", - "plt.plot(t, y, '.-', label='y')\n", - "plt.legend()\n", - "plt.figure()\n", - "plt.plot(t, u, '.-', label='u')\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "id": "fb9c601d", - "metadata": {}, - "source": [ - "## time delays\n", - "\n", - "Given that all of the interconnected systems are being simulated in discrete-time with the same small time interval `simulation_dt`, we can construct a system that implements time delays by suitable choice of $A, B, C, $ and $D$ matrices. For example, a 3-step delay has the form \n", - "\n", - "$x[k+1] = \\begin{bmatrix}0 & 0 & 0\\\\ 1 & 0 & 0\\\\ 0 & 1 & 0\\end{bmatrix}x[k]+\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}u[k]$
\n", - "\n", - "$~~~~~~~y[k]=\\begin{bmatrix}0 & 0 & 1\\end{bmatrix}x[k]$ \n", - "\n", - "The following function creates an arbitrarily-long time delay system, up to the nearest $dt$. " - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "92767723", - "metadata": {}, - "outputs": [], - "source": [ - "def time_delay_system(delay, dt, inputs=1, outputs=1, **kwargs):\n", - " \"\"\"\n", - " creates a pure time delay discrete-time system. \n", - " time delay is equal to nearest whole number of `dt`s.\"\"\"\n", - " assert delay >= 0, \"delay must be greater than or equal to zero\"\n", - " n = int(round(delay/dt))\n", - " ninputs = inputs if isinstance(inputs, (int, float)) else len(inputs)\n", - " assert ninputs == 1, \"only one input supported\"\n", - " A = np.eye(n, k=-1)\n", - " B = np.eye(n, 1)\n", - " C = np.eye(1, n, k=n-1)\n", - " D = np.zeros((1,1))\n", - " return ct.ss(A, B, C, D, dt, inputs=inputs, outputs=outputs, **kwargs)" - ] - }, - { - "cell_type": "markdown", - "id": "5a5e6f76", - "metadata": {}, - "source": [ - "The step response of the time-delay system is shifted to the right." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "e82445c4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\n", - "\\begin{array}{ll}\n", - "A = \\left(\\begin{array}{rllrllrllrllrll}\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "\\end{array}\\right)\n", - "&\n", - "B = \\left(\\begin{array}{rll}\n", - "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "\\end{array}\\right)\n", - "\\\\\n", - "C = \\left(\\begin{array}{rllrllrllrllrll}\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "\\end{array}\\right)\n", - "&\n", - "D = \\left(\\begin{array}{rll}\n", - "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n", - "\\end{array}\\right)\n", - "\\end{array}~,~dt=0.02\n", - "$$" - ], - "text/plain": [ - "['ud']>" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 413, - "width": 547 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "delayer = time_delay_system(.1, simulation_dt, inputs='u', outputs='ud')\n", - "t, y = ct.input_output_response(delayer, time, step_input) \n", - "plt.plot(time, step_input, 'r.-', label='input')\n", - "plt.plot(t, y, '.-', label='output')\n", - "plt.legend()\n", - "delayer" - ] - }, - { - "cell_type": "markdown", - "id": "862ce22c", - "metadata": {}, - "source": [ - "We can incorporate this delay into our closed-loop system. The time delay shifts the response to the right and brings the system closer to instability." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "d8f6e5b3", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "image/png": { - "height": 413, - "width": 547 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "# incorporate delay into system by relabeling plant input signal\n", - "plant_simulator = ct.ss(plant_simulator, inputs='ud', outputs='y')\n", - "\n", - "# system from r to y\n", - "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer, delayer], \n", - " inputs='r', outputs='y')\n", - "\n", - "# simulate\n", - "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n", - "plt.plot(t, y, '.-');" - ] - }, - { - "cell_type": "markdown", - "id": "c6c41775", - "metadata": {}, - "source": [ - "We can also observe how the dynamics behave with a nonlinear plant." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "83655c36", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 413, - "width": 547 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "def nonlinear_plant_dynamics(t, x, u, params):\n", - " return -10 * x * abs(x) + u\n", - "def nonlinear_plant_output(t, x, u, params):\n", - " return 5 * x\n", - "nonlinear_plant = ct.ss(nonlinear_plant_dynamics, nonlinear_plant_output, \n", - " inputs='ud', outputs='y', states=1)\n", - "\n", - "# compare step responses \n", - "t, y = ct.input_output_response(nonlinear_plant, time, step_input)\n", - "plt.plot(t, y, label='nonlinear')\n", - "t, y = ct.step_response(plantcont, 1.5)\n", - "plt.plot(t, y, label='linear')\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "id": "a7a163d6", - "metadata": {}, - "source": [ - "## now create a closed-loop system. \n", - "\n", - "Note that this system is not intended to show operation of well-designed feedback control system. " - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "dce984be", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 413, - "width": 546 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "# create zero-order hold approximation of plant2 dynamics\n", - "def discrete_nonlinear_plant_dynamics(t, x, u, params):\n", - " return x + simulation_dt * nonlinear_plant_dynamics(t, x, u, params)\n", - "nonlinear_plant_simulator = ct.ss(discrete_nonlinear_plant_dynamics, nonlinear_plant_output, \n", - " dt=simulation_dt,\n", - " inputs='ud', outputs='y', states=1)\n", - "\n", - "# system from r to y\n", - "nonlinear_Gyr_simulator = ct.interconnect([controller_simulator, nonlinear_plant_simulator, u_summer, delayer], \n", - " inputs='r', outputs=['y', 'u'])\n", - "\n", - "# simulate\n", - "t, y = ct.input_output_response(nonlinear_Gyr_simulator, time, step_input)\n", - "plt.plot(t, y[0],'.-');" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f0fe24a2", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "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": "3.9.15" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -}