{ "cells": [ { "cell_type": "markdown", "id": "03deaaa2", "metadata": {}, "source": [ "# Demos and Benchmarks for CyRK's Solvers\n", "As of CyRK v0.17.0, on a mid-tier desktop the following timings were found:\n", "\n", "| Function | Avg. Time [ms] |\n", "| --- | --- |\n", "| SciPy.solve_ivp | 8.240 | \n", "| CyRK.nbsolve_ivp | 0.168 | \n", "| CyRK.nbsolve2_ivp | 0.073 | \n", "| CyRK.pysolve_ivp | 0.315 | \n", "| CyRK.cysolve_ivp | 0.036 | " ] }, { "cell_type": "code", "execution_count": 22, "id": "c12341b6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CyRK Version: 0.17.0\n", "The Cython extension is already loaded. To reload it, use:\n", " %reload_ext Cython\n" ] } ], "source": [ "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "import matplotlib.pyplot as plt\n", "from numba import njit\n", "plt.style.use('dark_background')\n", "\n", "import CyRK\n", "print(\"CyRK Version:\", CyRK.__version__)\n", "from CyRK import nbsolve_ivp, nbsolve2_ivp, nb_diffeq_addr, njit_test_nbsolve_ivp\n", "from CyRK import pysolve_ivp\n", "\n", "# Hack the cython magic so that it can set the correct C++ standard.\n", "%load_ext Cython" ] }, { "cell_type": "markdown", "id": "43fda16b", "metadata": {}, "source": [ "## Hack IPython Magic\n", "In order to make this notebook work across platforms without changes we need to hack the cython cells to include some additional header information. This is done using the script `jupyter_cyhack.py` file contained in the same directory as these demos. Hopefully it works fine for you, but keep in mind that the hack below is required to get these cells to work. So if you are making your own cythonized notebook you will want to see what headers should be included for your operating system." ] }, { "cell_type": "code", "execution_count": 2, "id": "07ac3112", "metadata": {}, "outputs": [], "source": [ "from Cython.Build import IpythonMagic\n", "\n", "from jupyter_cyhack import build_hack\n", "\n", "# Get the current cython Ipython parser.\n", "original_cython_parser = IpythonMagic.CythonMagics.cython\n", "# Apply hacks to headers and compile lines.\n", "patched_cython_parser = build_hack(original_cython_parser)\n", "# Patch it in\n", "IpythonMagic.CythonMagics.cython = patched_cython_parser\n", "# Reload\n", "ip = get_ipython()\n", "ip.register_magics(IpythonMagic.CythonMagics)" ] }, { "cell_type": "markdown", "id": "96d1244f", "metadata": {}, "source": [ "## SciPy's `solve_ivp` For Comparison" ] }, { "cell_type": "code", "execution_count": 3, "id": "50275b32", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def diffeq(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "\n", "result = \\\n", " solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "2dd92e77", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "8.24 ms ± 52.4 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%timeit solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol)" ] }, { "cell_type": "markdown", "id": "16ae4fba", "metadata": {}, "source": [ "## `nbsolve_ivp`and `nbsolve2_ivp` Example" ] }, { "cell_type": "code", "execution_count": 24, "id": "c8e974e4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DEPRECATION WARNING! This version of `nbsolve_ivp` will be deprecated in a future release in favor of the current `nbsolve2_ivp` (names will be swapped). These two functions are quite different so please review the documentation at https://cyrk.readthedocs.io/en/latest/Numba.html before upgrading.\n", "IMPORTANT!! Printing this warning is slowing down your integration! Disable it by setting `warnings=False` in `nbsolve_ivp`.\n", "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@njit\n", "def diffeq_nb(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "\n", "result = \\\n", " nbsolve_ivp(diffeq_nb, time_span, initial_conds, rk_method=1, rtol=rtol, atol=atol)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "fig, ax = plt.subplots()\n", "ax.set_title(\"CyRK `nbsolve_ivp`\")\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()\n", "\n", "# `nbsolve2_ivp` requires the cfunc address of our function. It also must have the following format\n", "def diffeq_nb2(dy, t, y, args):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "\n", "diffeq_addr = nb_diffeq_addr(diffeq_nb2)\n", "result = \\\n", " nbsolve2_ivp(diffeq_addr, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "fig, ax = plt.subplots()\n", "ax.set_title(\"CyRK `nbsolve2_ivp`\")\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()\n", "\n", "# We must manually free the result from `nbsolve2_ivp`\n", "result.free()" ] }, { "cell_type": "code", "execution_count": 26, "id": "1ba72bdb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "168 μs ± 1.93 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "%timeit nbsolve_ivp(diffeq_nb, time_span, initial_conds, rk_method=1, rtol=rtol, atol=atol, warnings=False)" ] }, { "cell_type": "code", "execution_count": 28, "id": "707725a7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "73.1 μs ± 2.02 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "%timeit njit_test_nbsolve_ivp(diffeq_addr, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol)" ] }, { "cell_type": "markdown", "id": "f59b7f6b", "metadata": {}, "source": [ "## `pysolve_ivp` Example" ] }, { "cell_type": "code", "execution_count": 7, "id": "77897175", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note if using this format, `dy` must be the first argument. Additionally, a special flag must be set to True when calling pysolve_ivp, see below.\n", "def cy_diffeq(dy, t, y):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "\n", "# Since this is pure python we can njit it safely\n", "cy_diffeq = njit(cy_diffeq)\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "\n", "result = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol,\n", " # Note if you did build a differential equation that has `dy` as the first argument then you must pass the following flag as `True`.\n", " # You could easily pass the `diffeq_nb` example which returns dy. You would just set this flag to False (and experience a hit to your performance).\n", " pass_dy_as_arg=True)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "b8cf0127", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "315 μs ± 8.18 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], "source": [ "%timeit pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol, pass_dy_as_arg=True)" ] }, { "cell_type": "markdown", "id": "297cf617", "metadata": {}, "source": [ "## `cysolve_ivp` Example" ] }, { "cell_type": "code", "execution_count": 9, "id": "8cb48453", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Content of stdout:\n", "_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(25057): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(25058): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(25181): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(28822): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(28829): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(29187): warning C4551: function call missing argument list\n", "C:\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cpp(29188): warning C4551: function call missing argument list\n", " Creating library C:\\Users\\joepr\\.ipython\\cython\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cp312-win_amd64.lib and object C:\\Users\\joepr\\.ipython\\cython\\Users\\joepr\\.ipython\\cython\\_cython_magic_5a6dd41fee6fb519029f6188c94a11fdc5910c66adad4001cde400fb41db6ae2.cp312-win_amd64.exp\n", "Generating code\n", "Finished generating code" ] } ], "source": [ "%%cython --force\n", "# cython: boundscheck=False, wraparound=False, nonecheck=False, cdivision=True, initializedcheck=False\n", "from libcpp.utility cimport move\n", "from libcpp.vector cimport vector\n", "\n", "import numpy as np\n", "cimport numpy as np\n", "np.import_array()\n", "\n", "# Note the \"distutils\" and \"cython\" headers above are functional. They tell cython how to compile the code. In this case we want to use C++ and to turn off several safety checks (which improve performance).\n", "\n", "# The cython diffeq is much less flexible than the others described above. It must follow this format, including the type information. \n", "# Currently, CyRK only allows additional arguments to be passed in as a double array pointer (they all must be of type double). Mixed type args will be explored in the future if there is demand for it (make a GitHub issue if you'd like to see this feature!).\n", "# The \"noexcept nogil\" tells cython that the Python Global Interpretor Lock is not required, and that no exceptions should be raised by the code within this function (both improve performance).\n", "# If you do need the gil for your differential equation then you must use the `cysolve_ivp_gil` function instead of `cysolve_ivp`\n", "\n", "# Import the required functions from CyRK\n", "from CyRK cimport cysolve_ivp, DiffeqFuncType, WrapCySolverResult, CySolveOutput, PreEvalFunc\n", "\n", "# Note that currently you must provide the \"char* args, PreEvalFunc pre_eval_func\" as inputs even if they are unused.\n", "# See \"Advanced CySolver.md\" in the documentation for information about these parameters.\n", "cdef void cython_diffeq(double* dy, double t, double* y, char* args, PreEvalFunc pre_eval_func) noexcept nogil:\n", " \n", " # Unpack args\n", " # CySolver assumes an arbitrary data type for additional arguments. So we must cast them to the array of \n", " # doubles that we want to use for this equation\n", " cdef double* args_as_dbls = args\n", " cdef double a = args_as_dbls[0]\n", " cdef double b = args_as_dbls[1]\n", " \n", " # Build Coeffs\n", " cdef double coeff_1 = (1. - a * y[1])\n", " cdef double coeff_2 = (b * y[0] - 1.)\n", " \n", " # Store results\n", " dy[0] = coeff_1 * y[0]\n", " dy[1] = coeff_2 * y[1]\n", " # We can also capture additional output with cysolve_ivp.\n", " dy[2] = coeff_1\n", " dy[3] = coeff_2\n", "\n", "# Import the required functions from CyRK\n", "from CyRK cimport cysolve_ivp, DiffeqFuncType, WrapCySolverResult, CySolveOutput\n", "\n", "# Let's get the integration number for the RK45 method\n", "from CyRK cimport ODEMethod\n", "\n", "# Now let's import cysolve_ivp and build a function that runs it. We will not make this function `cdef` like the diffeq was. That way we can run it from python (this is not a requirement. If you want you can do everything within Cython).\n", "# Since this function is not `cdef` we can use Python types for its input. We just need to clean them up and convert them to pure C before we call cysolve_ivp.\n", "def run_cysolver(tuple t_span, double[::1] y0):\n", " \n", " # Cast our diffeq to the accepted format\n", " cdef DiffeqFuncType diffeq = cython_diffeq\n", " \n", " # Convert the python user input to pure C types\n", " cdef size_t num_y = len(y0)\n", " cdef double t_start = t_span[0]\n", " cdef double t_end = t_span[1]\n", " cdef vector[double] y0_vec = vector[double](num_y)\n", " cdef size_t yi\n", " for yi in range(num_y):\n", " y0_vec[yi] = y0[yi]\n", "\n", " # Assume constant additional arguments\n", " # These args are stored in a vector\n", " cdef vector[char] args_vec = vector[char](2 * sizeof(double)) # Size of vector is size of arg datatype x number of args.\n", "\n", " # Convert to double pointer to more easily populate the vector.\n", " cdef double* args_as_dbl = args_vec.data()\n", " args_as_dbl[0] = 0.01\n", " args_as_dbl[1] = 0.02\n", " # Keep in mind these args could be any arbitrary C/C++ structure.\n", "\n", " # Run the integrator!\n", " cdef CySolveOutput result = cysolve_ivp(\n", " diffeq,\n", " t_start,\n", " t_end,\n", " y0_vec,\n", " method = ODEMethod.RK45, # Integration method\n", " rtol = 1.0e-7,\n", " atol = 1.0e-8,\n", " args_vec = args_vec,\n", " num_extra = 2\n", " )\n", "\n", " # The CySolveOutput is not accesible via Python. We need to wrap it first\n", " cdef WrapCySolverResult pysafe_result = WrapCySolverResult()\n", " pysafe_result.set_cyresult_pointer(move(result))\n", "\n", " return pysafe_result\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "50766a13", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "Integration completed without issue.\n", "Size of solution: 360\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Assume we are working in a Jupyter notebook so we don't need to import `run_cysolver` if it was defined in an earlier cell.\n", "# from my_cython_code import run_cysolver\n", "\n", "import numpy as np\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "\n", "result = run_cysolver(time_span, initial_conds)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"Size of solution: \", result.size)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "\n", "# Can also plot the extra output. They are small for this example so scaling them up by 100\n", "ax.plot(result.t, 100*result.y[2], c='C7', ls=':')\n", "ax.plot(result.t, 100*result.y[3], c='C8', ls=':')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "10fc3a1c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "36 μs ± 472 ns per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "%timeit run_cysolver(time_span, initial_conds)" ] }, { "cell_type": "markdown", "id": "0afe8eb9-bbbb-4bea-9760-b264ee1be849", "metadata": {}, "source": [ "## Result Structure\n", "Below are the details of the Python-accesible CySolverResult object (called `WrapCySolverResult` defined in \"cysolver_api.pyx\")." ] }, { "cell_type": "code", "execution_count": 12, "id": "0ee0eb34-b2aa-4a94-845a-3b348e447baf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "result.success = True\n", "result.message = Integration completed without issue.\n", "result.integration_method = Explicit Runge-Kutta method of order 5(4)\n", "result.steps_taken = 359\n", "result.num_y = 2\n", "result.status = 1\n", "result.status_message = Integration completed without issue.\n", "\n", "----------------------------------------------------\n", "CyRK v0.17.0 - WrapCySolverResult Diagnostic.\n", "----------------------------------------------------\n", "# of y: 2.\n", "# of dy: 2.\n", "# of events: 0.\n", "Success: True.\n", "Error Code: 1.\n", "Status: Integration completed without issue..\n", "Size: 360.\n", "Steps Taken: 359.\n", "Event Termination: False.\n", "Integrator Message:\n", "\tIntegration completed without issue.\n", "\n", "----------------- CySolverResult -------------------\n", "Capture Extra: False.\n", "Capture Dense Output: True.\n", "Integration Direction: Forward.\n", "Integration Method: Explicit Runge-Kutta method of order 5(4).\n", "# of Interpolates: 360.\n", "\n", "---- Additional Argument Info ----\n", "args size (bytes): 0.\n", "args size (doubles): 0.\n", "Args Pointer is Null.\n", "End of Additional Argument Info.\n", "\n", "------------------ CySolverBase --------------------\n", "Integration Method: 4.\n", "# of y: 2.\n", "# of dy: 2.\n", "PySolver: True.\n", "---- Current State Info ----\n", "t_now: 50.0.\n", "y_now:\n", "\ty0 = 7.80877e+00.\n", "\ty1 = 1.55291e+02.\n", "dy_now:\n", "\tdy0 = -4.31755e+00.\n", "\tdy1 = -1.31038e+02.\n", "End of Current State Info.\n", "\n", "-------------- Diagnostic Complete -----------------\n", "\n", "\n", "result.t[:5] = [0. 0.0169395 0.1863345 0.40108733 0.61055121]\n", "result.y[0, :5] = [20. 20.27322359 23.26013881 27.79582383 33.17688363]\n", "result.y[1, :5] = [20. 19.79866938 17.99022292 16.19002847 14.91379838]\n", "\n", "Solution at new_t: [[162.12948857]\n", " [138.57630073]]\n", "Solution at new_t_arr:\n", "\ty0= [ 7.64646062 6.84445728 7.58548524 9.64250937 13.36192161] \n", "\ty1= [150.14546696 97.75140921 63.65655868 42.03353971 28.55544287]\n", "Direct call new_t: [[162.12948857]\n", " [138.57630073]]\n" ] } ], "source": [ "# First run pysolver to get a result\n", "from numba import njit\n", "import numpy as np\n", "from CyRK import pysolve_ivp\n", "\n", "@njit\n", "def cy_diffeq(dy, t, y):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-7\n", "atol = 1.0e-8\n", "result = pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol, pass_dy_as_arg=True, dense_output=True)\n", "\n", "# Basic information\n", "print(\"result.success = \", result.success)\n", "print(\"result.message = \", result.message)\n", "print(\"result.integration_method =\", result.integration_method)\n", "print(\"result.steps_taken = \", result.steps_taken)\n", "print(\"result.num_y = \", result.num_y)\n", "print(\"result.status = \", result.status)\n", "print(\"result.status_message = \", result.status_message)\n", "print()\n", "\n", "# More detailed information (helpful for debugging)\n", "result.print_diagnostics()\n", "print()\n", "\n", "# Data arrays (just printing the first few)\n", "print(\"result.t[:5] =\", result.t[:5])\n", "print(\"result.y[0, :5] =\", result.y[0, :5])\n", "print(\"result.y[1, :5] =\", result.y[1, :5])\n", "print()\n", "\n", "# Since we captured dense outputs, we can make calls to the diffeq solution\n", "new_t = 25.5\n", "print(\"Solution at new_t:\", result.call(new_t))\n", "new_t_arr = np.linspace(20.0, 22.0, 5)\n", "y_at_t_arr = result.call_vectorize(new_t_arr)\n", "print(\"Solution at new_t_arr:\\n\\ty0=\", y_at_t_arr[0,:], \"\\n\\ty1=\", y_at_t_arr[1,:])\n", "# Can also directly call the result with either a float or an array\n", "print(\"Direct call new_t:\", result(new_t))" ] }, { "cell_type": "markdown", "id": "c706b5bb", "metadata": {}, "source": [ "## `t_eval` and dense output example\n", "Read more about `t_eval` and dense output in \"Documentation/Dense Output and t_eval.md\"" ] }, { "cell_type": "code", "execution_count": 13, "id": "506b853f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Regular Shape: (2, 60)\n", "t_eval Shape: (2, 500)\n", "Dense Shape: (2, 250)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def cy_diffeq(dy, t, y):\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", "\n", "from numba import njit\n", "cy_diffeq = njit(cy_diffeq)\n", " \n", "import numpy as np\n", "from CyRK import pysolve_ivp\n", "\n", "initial_conds = np.asarray((20., 20.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "rtol = 1.0e-4\n", "atol = 1.0e-5\n", "\n", "result_normal = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"DOP853\", rtol=rtol, atol=atol,\n", " pass_dy_as_arg=True)\n", "\n", "print('Regular Shape: ', result_normal.y.shape)\n", "\n", "# Use t_eval to provide more data points than the integrator used\n", "t_eval = np.linspace(0., 50.0, 500)\n", "result_t_eval = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol,\n", " t_eval=t_eval,\n", " pass_dy_as_arg=True)\n", "\n", "print('t_eval Shape: ', result_t_eval.y.shape)\n", "\n", "# Or we could get the dense output and treat the result as a function\n", "result_dense = \\\n", " pysolve_ivp(cy_diffeq, time_span, initial_conds, method=\"RK45\", rtol=rtol, atol=atol,\n", " dense_output=True,\n", " pass_dy_as_arg=True)\n", "\n", "t_dense = np.linspace(3.0, 12.0, 250)\n", "y_dense = result_dense(t_dense)\n", "print('Dense Shape: ', y_dense.shape)\n", "\n", "import matplotlib.pyplot as plt\n", "fig, axes = plt.subplots(ncols=3, figsize=(10., 4.0))\n", "axes[0].plot(result_normal.t, result_normal.y[0], c='C0')\n", "axes[0].plot(result_normal.t, result_normal.y[1], c='C3')\n", "axes[0].set(title='Normal')\n", "\n", "axes[1].plot(result_t_eval.t, result_t_eval.y[0], c='C0')\n", "axes[1].plot(result_t_eval.t, result_t_eval.y[1], c='C3')\n", "axes[1].set(title='t_eval')\n", "\n", "axes[2].plot(t_dense, y_dense[0], c='C0')\n", "axes[2].plot(t_dense, y_dense[1], c='C3')\n", "axes[2].set(title='Dense Output')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b8553f35", "metadata": {}, "source": [ "## Backward Integration" ] }, { "cell_type": "code", "execution_count": 14, "id": "094818de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "solve_ivp shape: (2, 173)\n" ] }, { "data": { "image/png": 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L4ZRTToHy8nJ4+umnQU0GJbDprT0YOHHP5ic3L7UwImr5aaW3vx8OtXeyjyv4a+ClRAxP2gi/P/hxRXaW5+r4WPYg7G8NsICVHlondfDY10ls0UQPMQskkF13MHBwsAfuiR5iFqi8s+VwA0s2EVXNAR3K5DzvJCjI2GKLcUevDw62BfZco0MZGRG3pLzyyivsMRJ++tOfwksvvQS33HKL9bXdu3dbH2dnZ8NXvvIVuOyyy+Dtt99mX/vyl7/MEprFixfDqlWrQKkEhQexuvZO2N/SBpU5WTC/tJhpNrwACty4PgKWtdAoCVmk9XWHwQsottYZ2BQQNa1tMDU/11OBGzUoiIOtwXVWt7QxAyy8d72CI4oK2PP6g4dC1rkEGRQPBW4S62N5h0AMipcEpJRYY3mH4EWhLJXriD2hdmOEYVCGwtHie1xcHHzmM5+B7du3sySmrq4OPvjgg5Ay0MKFCyE5ORneeOMN62vbtm2DqqoqWLIEt5ehwJ/PysoKeYhEelKSZXRVwxkUxDq+SZDboe5A7UURD2jEoCCIWaAyl5eYIqz5Eogd85JHSHEGT8Q6OjzNoFAiRtfQzqB4SZtBwzs31tVbX6NyrJdKPMSgbDwUXOdevk4vWR4EE5Rm62s7eGeW14TsyiUoqCPB5OH73/8+S1DOPvtseOaZZ1j55uSTT2Y/U1paCj09PdDSEsiOCZjM4PeGw6233gqtra3WA/UvIkEBCwV4+Bi80XtFs0CbPLYYN3Z1DQ3cghNBWcCSHJXl7InYfo+VeLB7pSgjoBtCMaWdKUJ4iUEhJ1X7OqnjzkuBe7gDhJWgeIhZIB8QMhe0l3i8xKAEW4xtCQoxKMYLRWyCEs+7IVAg+5vf/IZpVX7xi1/ACy+8AFdffXXU/+/dd9/NSkP0qKgIdCqIL+8ENjwCmnvZyyJeKu+gJoOAni9eYlBK+CaPdV98DA7cXmFQ8lJT2YyhwUwRlj68xKBgi3Ehv6ah6yQGxXsJSr1tndSC66VEjAT59lKzF0Wy1MFDuhO7SBb3Wy912imXoGBXjs/ng82bA+ZQhC1btsDEiYG21draWtbFk5MTetOVlJSw7w2H3t5e1u1jf8gRyAZPLYiD7e0h5QLdUTqMLsNe4inziEh2OP0JooYHbq8wKMSIYbeHrz8gNESgdspLpQ9iT/oHBqCRd7Z4scSDvhg0I+twZ9cQBgXXiQNNvQBi/rC7bnCCgj4oeR6ZbDxciae5u8diAg2LIjBBweRk9erVMGvWrJCvz5w5k2lMEGvWrGEJxxlnnBHy/UmTJsHKlStBqRbjtuEZFK+UeGgAmZ0+tguDvdLFUzLMadtesvNMgkI6m0HX02saFErEGjq7WYvx4BIPMoOpifqPpCA/F2y9Ra8MewkWy7LIlnlhL8Lya1pSgDk43BFMxLr7+iw21wtlHtT8DW4xJphOnuGRGE2b8fTpQXvwKVOmwNFHHw2NjY1QXV0N99xzDzz++OPw7rvvsi6dZcuWsZZibDlGoIbkL3/5C/z6179m/wY/v++++2DFihXqdPAM8kAhUFtYaWampxkUSsw8U+LJGj5wW2LgrAx2ErUHO50D90iJWGZKMuSmprATmxfKHnb9CTFHOCEW11mZncmcOnVGIemJbKwCAu9T1E/hVFws89B9rDsjhnPPOn3BEiyxKMjkolAWnXR1BiaTmFRiwmkXd1OZB00WTSdPjAzKokWL4JNPPmEP8jTBj++44w72+bPPPsv0JjfffDNs2LABvvrVr8JFF10E77//vvV/3HjjjUyX8tRTT7FEBks7F154IagCEofaO3gQtbzEU5KZ7glqNahBGT5wYyDwgp12ScbwTBF+jsMRcdOg4O6NwB08hSLQlZM0DF4ofxCzMDgRs+ttvKBDoXuyftD19JqAtDB9+PvWa+sknU19Z1eI5g9hGBSHGJR33nmHtROPhr/+9a/sMRKwi+fb3/42e6gIok0HMyi4IaKdNhrtYM3ULujS26QtdB1Y1+/29THbcNTj7OWbhK5AT5fhAhqeRFFXhMEMyzyDExjdgInz4BZjO4uCwtLK7GzYYGtZ1RFFmcMzKOQRckRxgScSFErEBjMoXuvkIf1Jg01n40WhbEFaYJ32jkmCcZMdHt4ZQuIgynmtfjAN1z/gtzYLLwhlrYA2TGAm9sgLZR7SoAyXUBJbhCUB3TFS6cMulPVCq/FIpawQN9lc/ddJJZ7hGJSgWVuOd1rGh0nE6HCE5SzdUZCeammnBsMya+MiWoMATIIyCEgOoSZhOAbFLpT1gg6FSjzDMQfUYu0FoSytc7AGJUQQ7IHAPVoiVs2vpydKPFT66PR2icdKOIdZp2V374F1Usv4cImYl9xkcb7ZSAwKHZTwtfDS8NJYYV6JYWhV1CRgKWe4wH2Qf406YLwokrWzR15gUKi7Zbjr6aUOl3AYFC90LIXDoHghESNmYVgGxSp96B+4i2zajPFQ4hmulIVldWybt193A5OgjOiBgnV8GlplRy0P3Lq392FrH3Y7jBS4g3b3WZ5tM/aaWdtIfi8hJR4PXE+rJDAMU+QlN9miUe5bL000DopHR14n+sHka+6Fks9LPDSVerAejhI0Lwj2nYJhUAaBGAPqvx8MCua6l3iIPUErf7u76lC7+0zPJGLDam14glLuAVv/4lEYFCrxeEGDUjROGJThXGQHl7LSk5O0P3GP1H2G6MGWXH5Y0p1FsRiUYRIU+/uWXg8Dk6CE7YEyOEHRnUEZTX9iX7/uJR5iTzp7fdA+TCIWnMej9zrTkhIt19G60USymq9zrEQMmT8sz6Lxl+6BOygeHRq4e/uDgVv3Th5iUIYrfdhbjcnkTHcNykjrpISbupoMTIIy4uY33CbvpXk8ZaOUA0KZhUzP6k9CBulpXvqg+xbbw+0DLgczYroHbnSIzU5NGTVw07XWXSg7GoMS0smj+zqHGfxoB+1R9F7WFVSiahwhQTEMylCYEs8g5I1xE1HpR/c2Y3JXHSlBsUSymicoo+lP7OtEzxc6yekczEZKrFng5sm1zmUeOl0Otn8fttVY43WiQSLOoBkpEbMn12Was2LUxTMSs0Dr151ZoARlpBIP7VFGgxKESVAGId8y0+n2dIknaNLW4enAPdJ8GgIO1bMCt8YbPSViI51C7R1LEzRmi8h1dKSEM6TVWOOSALFc6HTc3D2SZiEQuHVmxLCllg6FIyVixCDRtdcVtI8aBiV8mARlxCx3+DcLBXSkyumE4yWbe3vgPsS7JHQWylqt1KMEtGAnT5b27qqjBe79nFmo1LgkMJr+hEBOujqfRIPTfYfaohOo60XnwE3mZdhiO1x3i1cYlIT4OCsRMwxK+DAJyggJStMwbn8014SoZdJxeM1LwktDAy2b+3ZvJyg0b2gkpsgrguBw7lvyDdGZ+QvOpxl5ncSg6By4yc4fGeuRhnUSg6Lz9cxLDbZID2fUZm+bN108QZgEJcI6od0LRWezNmJ/mrtGnmwb9ELRv/Qx2pwdsvXXucQzmknb4BO3zn4SxBQN55lBID8JnUsfFlM0yjobOvUP3JYHyjAtxkMSMa2ZosA6m5khm3+MLh591+k0TIIyQivYSHRjiJusxgxKLiUoI9S3Q71Qsjzb2oegdk0c667/oMDRAlq39gEt6IEy8vVs8ECCMtocHi8F7tHGFgwpZWnMFIVz8DVGbUNhEpRBc3isVrARaLiQeTwaBzSLQRmhE8IrXijhJGKkN/JC4B7OXZVA4jwSgntVg0Lf01mbMdocniGJWIYHErFRDhBeEAMXhHHwJQYFjSXTk5Kk/W0qwyQoNmSnpEACH9Q0UhePVxiUnJRA4B6pVdPOoOi8TrymY62zkTMLOpc+qMY92n0bTMT0XScFqdE0RZ4I3OGUPqjEk5bGDldam9GNWpoMvAY4I40OHLqBDgWjMbnoX4Q+RrrripyESVBsoACF1u9osTwSdJ/Hg4ry7DAYFHoz6cws0IbW4vF10vVs6Rk7EdN5neGUBChw4/s5XtPIHQ6DQoE7MSEecm0iTJ1ALNdogRs9fFr5+1dXfQYdCkZj5hFGhxIKk6AMZ9I2xk1Up/k8HmIVwg7cmjILGJtoraMlYnS9dS59hJWIEYOi8TrDKU2S1gbZUF1P3OEwKGgFQNeb3Fi9ZOdvB31f1zJP0M5/ZIbTziTp3CLvJEyCYgNt3HTSHAkHuQZFVwaFNm1kioab2OwVZiErORni4+PGZBYaPFDiCadkR+tMTkyAzOQkrddJJ+rhgPc0dkvofeIeuyRgD2i6vkepDNcwSiJmbzXW9XqGe/g1DEooTIJiQ217Ozyw+hN4busOGA3UsqrrPJ7gKXT0RIwoZOyEwbKQbiDaG+u6o5XsiFlAqlxH8z0U1OHfPhaz0OnzWTVuXQNaTmrymAmn/cSt6zrD0U7Z36O6Bu4ggzJyKSukdVxTbYY1yThMBkXX6+k0TIJiw4a6erj2hTfgrv+sHPVFo3k8mBXj8DIvlgMQTd3dbDKsruWPcIMZJi/IJulazqLribbomISMBkrGdLye+F5L4e+3se5dYh50LX1QojzWvau7IDiHHyKaRvFjCu3M0nOd+aRBCZMRMwlKACZBiQJ4SvX192v7hiFmYbTTNgINhYhl0TFw0+Y3VjCzb/Tkm+LFYBYqlE3VNuHEpLmtd+jE5mHLkxoGbpxPk8FLcGPdu7oH7pyUwDVtG+PeDZrvpevNoIRZ4inW8L4VAZOgRIkGjTf6cISjXtChBD1QwgjcGgtIwxGOekEoa+lPenpGnE/jhcCdzYM2orUnvERMx8BtF7GPlVwHS1n6XU87g2JKPJHBJChRQufOj9w0KvGMXg/V3TY8HOGoFxLOcISjQzxfNLyewVbq0YO27oE7J0wRu+7dLZl2EXv36NdUd/M9qwEjbAZFz3U6DZOgRInxwyzoG9ByrEQsfAZFy3WGqbXR3awtkkTs8DhJrK3ArWFAo3X29vVDd19AvD0SqN1aRwYFReypSYlhdWWZLp5QmAQlSlDgLtBZsxDGBugJBiWcwK1xq3EkWhud7e4j0dpQQNMxcBNThKWssaCzGDiS60ldPjoyKHQYQN1iOxfjj3XfGgYlAJOgRAkK3DqeREkkG0mConMiFokGRevAHZYGRd9SVjYxRWGV7PTVoJBwNBIGRcf3ZxZf51g6G90ZFGKsx+pUsidiOtv6OwmToEQJnU+iEZV4NGZQgu3U3RGU7FK1DWiRiJ71vG9Tw2YWdPZBiYRZsBgUDZmiyEp2gcCdlpRkdTjpgqwImFy0PKDEtFjDa+o0TIISJbQ+iUZQ4/YCgzKWAC90YKCO6ww/cDfqfD2t+7bX06UPq8QTxjopEcOgncZ1Dl7UTqFguIt7/BRpVubJDrOVmmB0KEGYBCVK6H0SDc9JVncxcDBB6fa2eDSS0keXvlqbYImnO+zSB46u181MMRLtFE7A7eECU91YzmAiFl7gPmzpijRbZwSlLISZxxOESVCihM6lj4h8M3ROUCJqM9Y34YzE18YTDEoYGz0GA13NFK126jADt64mZpFcz9DWca8nYtxNNlOv6ykCJkGJEvY5NV61utd9onE07dQ6Bu7cCDZAYlAwSUXHUq+KgXXuQCNNUTglO50FpEFmIczAzXUo+pV4qCsrvETMeKEEodcOpRCsgKZZ4La7N4YTuHUeGBiN1T12FiTxwXteFFU2ddnnK6XqudF3Rxa4dUs6Iw1owRZcbzMLwdbx8VHiKTIiWZOgRAsKaLlpqVoFbtz8gu6NYQQ0jQcGRiLCw5/p566dutnAR5JwDvht85XSvXs9dbZHj7TEExwY6O0Sj8WgaLbOrAhFskHWOg3GO/Q6KioEDNwEnQI3lQNQEd/La/ReHBhon3wbTuDG2S66lnkiKfHoLJSNhBFD1POAVqBriSdC8ahuHUsRl+yIQdFtnREmYtRRmKfZ+1METIISJTBwI12uW+CmN0s4QVtnoSwFbWR/2seYfEto0jBwx8fFWSfucK+prkLZoDaj19vi0QhKdrq+P+3MX7jMgq4MSqRam+BBKRXGO0yCEgN09AiJ9NSiq9jQvsmPNflW543ePvk27IBmzVfSawPMibr0oc/1DPUp8nbpI9ge3+tpBoWM2trCXCdZHuRpxMyLgklQYoCOJ9FIOluGZPQabfSRtFIPHYyYqt06sWTn6x998u2Q+1ajDRBNyND+O1z/nhDfDI3en/ZrGmkXj077UKQOqyEHJY8zKDoy86JgEpQYoONJlOzCIwnc9RoGtEhstHUWp0VVsrNM6fRbJwqZxxq4NnQeT7pWJTsSVUbaTl3kca1NPXW3aLZOSlAi9XvJ1tAKwGlEvPqlS5fC888/DzU1NeD3++H8888f8Wf/+Mc/sp+5/vrrQ76el5cHDz/8MLS0tEBTUxM89NBDkJGRAbpBx5NoTlr47qo6l7KiYYqCCWeafqftSJgiDSc3B1mF8DZ5XUuT0ZTsKHDrxixEqrU5bAvcyZxN0wGkEQtXa4N7lq5WAK4nKJhIrFu3Dq655ppRf+6CCy6A448/niUyg/HII4/A3Llz4ayzzoJzzz0XTj75ZHjwwQdBN+h4Eo2qxKPhRk+JWLi0amjCmarhJt/r6fvWOoVGwvxpWPqIpmRHgTsvVR/LA3vJLtykE0t7FLjz+Pvbi742diuAfI32IhGIeEjFK6+8wh6joby8HO677z741Kc+BS+++GLI92bPng3nnHMOLFq0CNasWcO+du2118JLL70EN910Exw8eBB0gZ6iyshP3DoyKOOt9BGuLkNXBiWSScbDMShoUBiuWFqXgYiERn7for8RWh6Q0ZcO64ykyw6vH9o74PsTWeu6dvXXiQkjTV+OhP1DPVx+etq4bzV2vMAVFxcH//jHP+Cee+6BzZs3D/n+kiVLWFmHkhPEG2+8AQMDA7B48eJh/8/k5GTIysoKeaiABr7R63Tijqr0oWGCEslARJ0Dt8UURRDQGsZZ91liQrwVELVxV40gEWNeRZq1yNuFo5EkjsRy6uIRkpUcLNlFck0toWy6Pu9RLRKUW265Bfr6+uB3v/vdsN8vLS2FQ4cOhXytv78fGhsb2feGw6233gqtra3WY7iykRugN4tOmoVoEhQdGZRIRtZrHbgj7ISwn7h1MhikScaRnELRiBCn/epUniThaCSJmF0/pUvgttxyI7ieCN3MFKMp2el4PbVIUBYsWMAEsV/60pec/G/h7rvvhuzsbOtRUVEBKsAqCWi00ZMbZ2SiSv20GVExKFoG7mgYMf2MoCKZTD3slGrNAlokCaeOranRdNnpGLgjncNDaNKw3Kx8goIdPsXFxbBv3z7wYcbo88HkyZPhf/7nf2DPnj3sZ2pra9nP2JGQkAD5+fnse8Oht7cX2traQh4qwCoJaLTRB1veImdQdBoYaNmi90QeuHWhyaOxubcn1ihSpJZWL/rahCadqZ5l/kISMU2S60i9XnQN3FnRJmIa7kXKJyioPTnqqKNg/vz51gPLMahHQcEsYuXKlazNGNkWwumnnw7x8fGwatUq0Ak6+oMEB1eFvwHqODDQosq7Ig/cTLPAN1AvioG7fH2Mctbp3g12QkSaoHRrtc5oSnYhYxo0OSxRyS7SEo9ugTt6BkWvdSrTxYNtxtOnT7c+nzJlChx99NFMQ1JdXc2e7UAWBZmR7du3s8+3bt0KL7/8Mvz5z3+Gq6++GpKSkuD++++Hxx57TKsOnuECWqT0s5sJSrjKefvAQGRQsJavRZdAFL4ZPX390NHrY6p7pMp1uJ6WNiOKE1plThILaHubW8CLItmQwWuaBO5o10l7kS4BLZpuQnvg9nqJJ3g902A8I2IGBduDP/nkE/ZA3HvvvezjO+64I+z/4/LLL2eJyptvvsnai5cvXw5f//rXQTdQQNOp9kuq8ojfMBaFrMc6M611eluzQO23kZ64qfShC7NApazI16nXSTRSW/ShgdvbTJFujFikJm2EJg3lA0owKO+88w5rJQ4XyLAMBrYZY5LiBWBAwxM3BrTdTWqfRPGyZUZR4qFy1gyNBpIFmaLwbNHtgXtibrY2G2DUXR+aCWWjPXHrJnyOmkGxOtA0uZ5RMn+6tRlbgx+jZlBSYTxjfBv9OwCdTqLEKiDaIijx2E8u+mwM0SViugXuaBNOK3BrwhRFOvlWXwYlcqM2HUsfVhdP1G3G3mbEgvdtGoxnmAQlRgQ9QlK1ebP4+vtZecqrG31KYoLNRrvH04GbSnaRJpy6DUYMnkSjO3HrQpVH292iW+kj2nZqYhZ0ScSiaUoIuW/T9FinKJgEJUaQCE+Htrdo9Se6tWva3RsjLfEE3YHVv55Ysgs6j0bJLKR7mxHT7SQaq99L3jgRyerw/nSCKcpMSdZqMKLTMAlKjNBpfku05YCQbggNNkAKZu09vWzwVnQMivrrzEgKzPiIrpSlF4NCJ9GoRc8a3Lf2dUZt1KbBPhTt8Ef79UxPToLUxIgllNqsE69//8CAVveuCJgEJUYE57ek6RO4IywH6GYxbdGqUaxTp8BNp9C+/gHo7uvzrMkgniBTeDBq87ifRNTaKb5OvPeTEuI9OYWbmAi833W5pmTUFmkXDxuM2KXXvSsC6t/J2jAoqZ4u8ZCDow4MComBkUHxMlMULaug25gGu9ttxFobvsnnpqVq4YIc7TXFE3rQTDFVm+Q60sCtmx4uWh+UUPO9NBivMAlKjGjo0KeNMVrBln6bQnR1X90STkrE2iLU2ejm90KJdWevj5kGRgL7LKY87hmjKtKTkiAhPrAlt/VEdk2xlImOz7rsRbEFbn3u3VjW2aDRnisKJkGJEToFbqIbYynx6MEsJMVc4tFpk4+KKdJouFws1xMTGl30GbRO1B508lEEXtyLkMlCDcl4CNzB2UoxMEXp6q9TFEyCEiN0anujDTAmujFNHzFwTIFb8WAWc4mHJ2K4gaquWbAGrkVxPXVKroNljyjXqYkg2N5lF81adfJ8iYXNbdTosCQKau9MGkCX01mIZ0Y0pxb+ZkHXXPQZ8WyJh69TB7FhtB4oNFxQF80CrTOahDO0NTVVk5JdbImY6qUPSqx7+vqgtz8yPyadDhHIFOF+Ge0holGT+1Yk1N6BNQDdRFoEtBhKPDqp52MJ3Pb2PtUFpFmp0Secds2C6uu0OluiDNy6lO2i7eDRzasolgOETq3jdqYoFu+pPMXXKRJqR1QNYFfPqy7CC5YEojyJaiLCs+bwRLFObO/T5YQWCyMW6rKa5ln/ntBuCD3en9EnKHrct5mcVYj5eioeuKmVGsXdffzQ48XrKRImQYkReBKlTgHV3zBZDm0Mqmf0MSdimmyAsfi92MWGqlPIsQZuXQavxcL86dQiHxzk6e3rGUsHj46DEUXAJCgOgDZ61W8kq8QT4wnN6xt9cDJsmrcDtyYMSqwlHl38JGIp2en0/oy1xNPUqcn1jMHrRcf5SiJgEpRxJJSNpesjNKCl6rHOCCfC6tbeF3OJR5P7lsSj40WzEHsXjx7X0+uMWKwMSoMmjJhImATFAejSxhhkFiL3WNCp1ThmClkTu3unxKO6lHhi7eJR/b6NuSSgC4PiGFM0Ppi/AsUPSiJhEhQHYDkbpo0PEZ7y64z5hKYHhWyJR6NmivQq8UTP/Olx31r+PTG3GY8PrY021zNGpigtSY/BiCJgEhQHoE3gthKUnnEiko2y9qsLsxCz1ma8+IPokYjFXrIbX+3UqUmJkJaU6Nn3Z5tG1g6iYBIUBxBUz6d5++SiWSLWHmUpKziPJ83TYkNd2oyDlv4+T9+3MV9Pvk7VzRRjbRvH93VvX7/yZdhYGetQnZja964omATFAVBGr/JNhJtWPJ/mGukgMt1EeLGLDfUIaJk0oyZGClnlTd4RRkwTM0W6ntGWBNCTSYcTd6wHJV2SzliGeQ41a0uD8Qh1360aQYfSB20K0Q4i02VTwACE1K8T3UqqMyiWBXystXyFE2snuj7Qp0gHW/8ggxLdfYvQwR04Vk2RLuZ7sYq7EePd7t4kKA5Ah8DtJN2oQyLmiGZB4U3ekbZxTcTdFLijTcTQHViHwO0Is6CBuVes4tHQe1f96xlLItZI11PhREwkTILiAOjErTINF6vrqC7dSrTOLp8P+vmp2YtdH+lJSZAQHx9TyY7WmZSQYJ1qvTaFW8fAHe311MXbJtZ2at0YFCdKWQUKxxaRMAmKA9DBGj04ETb2zQ830uSEBM9ufnQ6S0yIt+ZpqLrOWEp23X19bE6IygEtMT6etVk6JzZUc52h3S0944LljOV66mC+l+nAntugQWwRCZOgOADaFDCY4YbqxXLA4Em/qr5hYtUrIHr6+qGDArei63SiZKcDVU7rjPUkqsM4CifFoyonYrH6vehi1kbMXyzv0SZNWuRFQc1oqhmau4NBX9UNMFZXQ6uWr3hGH6uLrC5zamL1BhkslFW1A42CdrevD3y8QyWWjV7VwI1+HsjYjQdmIdZ26lCdmLcTzgYNys0iYRIUhyYaqx64nRCm6dCx5MTmF9I6rugJLVZvEF1ajZ2o4+uw0VMww26jjihLdgjV96H4uDhmeTAeSnaxDmfV4XqKhklQHBfKpiquKI81cKv9honVG2SIy6qqzIIDJTsdWo2D63QmsdaB+UOmMlqo3pllL9nFJnpW+6DkVHLdoIn3lCiYBMUhqL4BOlHiCRXhpXlWgKeDPboT9LEOrrlBcff40NrEnIgp7mpN1xOdYHv7A26wXizxOMUUNSnOWIuGSVAcgvrMgjMbfTBwq13icaokoGzpI8aJsLq4AzuVWFPgVvW+jdV0TxdrdMeZP0Xv20yenMQu7u5S+nqKhklQHEKwLz9tXJR4VO1uiXXOhy6JmFNMEXW3qLoB0vWM9b5VvfQR6wC9wetU9cQdLHv4PH0gpHX6+vtZV2Cs60xJTGTeR+MNJkFxCKq/YZxiFlSnHLMcoFVD7O4VPaE5VrJTnEFxwi5ch7ZUp7U2qt63TpXs6HomJyaEsBVeO0B02AcjKnqIEAmToDiE4FCnVE8OItNlo3cqEVNdPOoUU6S6GNiJuS06DIB0whvEnljjPCpsXfbq9URzQmw9V3UvynSIKdKB/RMJk6CMEwbFqRJPUISn6DodpspVP4l63qjNgYmw9gNEenISpCYmerY9vr3Xx8oKqt67TgZua89VMLl2iikKbcBQ73qKhklQHILqgdtiFrzeZuxU4FbcqM05pkjtLh6nxN0Y+Pu40ZuK965TCafqni9O2Pnr0MnjlH+PLuZ7omASFIegeukjeHJx6MStaEBzSmyovhiYa226nRHJ4oaaxJ1MvVgSUL3DxSkHZNUH6TnFcKo+SM+JSca6NGCIhHo7kqZQOZu3i0edcpJVdZ2OJWL81KLqYESnfFCau7ut+Uoqb/ROnESDOjEF1+lgIqZy2c6pUnPIhGoVE7FUZ5yex/vAQJOgOATVSx/OWcDrceKOlUJWfTBi8HrGtk77fCUVyzxO2IXrwIoFSzw+jzMo/Hr2jg8GxZnEups9GwYlDCxduhSef/55qKmpAb/fD+eff771vcTERPj5z38O69evh/b2dvYzf/vb36CsrCzk/8jLy4OHH34YWlpaoKmpCR566CHIyMgAnUE3UW5aKiTEx4FKQFGgNYgsxjdMS3cPmxeCyEv17kaPgVvleR/BLh4HxYYqBm5eyvL8idtBbYbKmgUnJvwOdbX2eCmrU93rKRoRH4ExkVi3bh1cc801Q76Xnp4OCxYsgDvvvJM9X3jhhTBr1iyW0NjxyCOPwNy5c+Gss86Cc889F04++WR48MEHQWcgVU7IVSxw2+dfxHpywcGItFbVAjcmhtil4XjtV8GNwSrZOXBCq1dYKOukeFTpE7cAbYaKJR6nmFzVE2sS6zvLFKXCeEPE/XavvPIKewyH1tZWOPvss0O+9u1vfxtWr14NEyZMgOrqapg9ezacc845sGjRIlizZg37mWuvvRZeeukluOmmm+DgwYOgI/oH/NDc1c0YFHzD0ClGNeFoLIPI7DVRpBtV2xgomDmtnlcxcDtV4gk5oSnJLDjTfaZ6Ld8p4z3V9XBW4HYkQVH3/SmCQclT8HqKhnARQU5ODgwMDEBzczP7fMmSJaysQ8kJ4o033mA/s3jx4mH/j+TkZMjKygp5qAhVN0AnT6Eqt6bSptDT1wc+3lLqRZ+FkJKdg4G7ULHr6XS7ZpPCHWgUuJ1kFlR7fzrpmKv6RGMhGpQ09a6n1glKSkoK/OIXv4B//vOf0NbWxr5WWloKhw4dCvm5/v5+aGxsZN8bDrfeeitjZ+iB2hYVoaqhjlMulUMSMcUCt5MdAirb3dNpG9Hhc6BLQFG7e6cmwurgD+KUpb/qgdtZpkjd0odTzt06zAXTMkFBwewTTzwBcXFx8M1vfjOm/+vuu++G7Oxs61FRUQEqQlVq1enAbTEoigU0J2nV0ERMzXW2dvc4UrJTlSq3a6ecuHdV1hQF/V7GR4nHEaM2q/Sh1n0rSjuVr+D1FI1EkcnJpEmT4PTTT7fYE0RtbS0UFxeH/HxCQgLk5+ez7w2H3t5e9lAd1iA9xTJdp8zLho4AT/Os2VVoIpbqWfo4ZB6PouvEYWm93L7di0xRSmICJHGvHWdKWWoyuU7vRSoHbidLk418nXiP4P/r1D4+LhkUSk5mzJgBZ555Jivd2LFy5UrWZoxdPgRMYuLj42HVqlWgM1R9wzhd4lF18JrjJR7VEzGHGTHVmCInywEq+4OQ4Nmp96iqpSws2YmYxYN6LHvZ00sjNxBdvj7o4qVc1a6pcgwKthlPnz7d+nzKlClw9NFHs0QEO3CefPJJlnxg+zAyIyUlJezn8Ps+nw+2bt0KL7/8Mvz5z3+Gq6++GpKSkuD++++Hxx57TNsOnsGBW9WA5kTHh9qB27mOD6UTMQfLAfZSlmoMCgUzpxNO5a6nTWfjTMkucD2TExMgMzmJDRBUAfi3EJzYi7r7+qCz18esBXAvcuo+cZbNdea1b+zqhoqkJMaKVTW3wnhBxAwKtgd/8skn7IG499572cd33HEH04agcRu2FKNXCpZs6HHCCSdY/8fll1/OEpU333yTtRcvX74cvv71r4PuUHUCbpBW9Xk8cDvnDaJym7HTJR5VGRQnJ8LaA3dKYqIlvvWidqrT54NuX59yZR5aJ05b7umLvWRn33NVEwQ7XVZvVHTPVY5Beeedd5jwdSSM9j0CthljkuI1qOon4aRpkNKB2+ETd1BsmKbknA+nNUW4+eHb14lTvGqDAhEdvT7Wgo4JCq4VP1eL+XNmnZSMlSdlsr1oX0urJ0uwVLabkJOt1KHQaU2R6oMuRUK9YSoaw3LkVOjNIqLEo2rgplq+Y4G7c3z42tA6E+LjIcemh3AbTuoVVHaTDTJiTq5TvXKW00yRqu/REMNIhw9LeQrdtzJgEhQHYXVDKMYsON7FY61TnU1BCFPENwUU4eWkpqiXiDm0TuyQoTKKSveu02JgVT1CnH5/KpuICVinip2TtE5k6HA0iBNoNAyKQew3kZqlj6Ci3Odo4Ka2Ny8OlkNgnZzKACoJSMkEytGTqIIdaE6XeFRlFoKDHx1cp4KDEZ1OrEP2XJUSMYcZzvFsd28YFAElHhTgoR25V/1BsO0N1fOqbQxOl3hCvDPSx8cGqFJy7bQYWNXR9U56ZijNoIi4bxWcaJw5Tq6nDJgExUHgGw8V6qqVP0ScRFVsNXbSpVLlE5qIk6iKHWgkHm13iPlT1avISRdZLQK3iFKWQvut091nKncriYZJUBxG0JUzzZOmQUM9X1IVrHE7F9BU1NtYG32389dTpQ60YMnO+dKHSgyKkxN+VR4Y6LTxnp3hVEk8KoIRa1JQDCwDJkFxGMGSQKpnTYNUPXGL2ACDg7rS1DP2EsGgjJcSj0IbvcjArdI6ne4mtItkx4tGrECh96cMmATFYdBGX5ieDp4WGyp44hZR4lGREaMSj5DrqdA6LX8QB5miYGKd6ln/npDuFgXX6WTJTsVETIQWrknB6ykDJkHxuFlbUkI8M6ZyPqNX8MQtpMat1vUUVcsPXs/UcUGVq7TRiyjBWmaKCq0zaNTmPIOiEsMpuvssbmwvVM/AJCgeN2sLMQ1ykipXbDIsvmmDAc35E5oq19Ne4nGyZKfa9Rw8o2ZcaDOEnLgVXKeA0mReqjqB2+mZYPb7Fs0U7cMlvQ6ToDgM1TZAupmxLbh/wC+gJpqq1Cl0PJSyRJR4VBQDi9no1euGEMP8qae1saaqC1hnfHycMi7IlFg7WbLrUdSTSTRMguIwgnNqUpXqhHDy1KLiiTtbwCAyFcXAyQkJbEqtqBKPKtdTtD+ISoHbSsQErBNdkOm94cVZPL7+Aet9oNqh0MkDhJ2dV6mcJRomQRFV4lFEJCuivq3iiVuECZSKRm32YCOixKPKJh9SshMwu0UlF2QRpazuPpuZoiLXVEQpS0XPFxF2B4iGzk72XKjI9ZQBk6A4DGujV+TNIkJRruKJm+hjJ09noQ6OqcrNp3Fqzoe9ZIcuyDiNVa2SnbOBu8unlguyiERMRXMvEeJuRJNiLGcwERPDoBSaBMUg5pkmitxEImhyFU/c2Q7b+Q9mUHBzxfKKF71BEC3dPdDXP6DMRk/rxL8JkwonQSyKCoEb7ynqsnO6JBD0CHH/eopyQFZxonGwxCNmLypQZM+VAcOgOIwGxbJcEaZB9kQMEyBsZfZifRvR0tMD/QMDypSzRJ22VbMNF9GqOSRwK7DOLEElO9UCt6iSXWirsfvrDGVzxTAoRRlqyAdkwP3I4tEEJSc1BRLj4z1b4mnu7g4GbgVOaKI2P6yiqDSoS2yCok7ZLjhwzdmgHVqeVCcRww4NJ0t2qnmEZCQFDkpCmAWF7luRWpv6DsOgGMSI5u4eGODtvCpsgKJKAriXBk+iaeoMlnN4naq5OIq6nqpRyCIGrqkYuEWYl6mZiKUIK9mpxqCIGP6IMBoUg5iBpyA6iapQ5hElTFOtZTM4WM7jgTtVwvX0eIlHJXt0Ed4gKgZuEXN4VDRTTE1MZB1iItbaoNA+JAvu1yA8iOBGn+ZZulG1N4yoNmPVArfIdaq00YsSd4cEbgXWKeq0rVoiJsLlWcV9yG4D0MG7xZxCvWL6RhkwCYpQu3tvlwSUCtwCSzwqBW5RnRCqdaBZ19NhL4mQdY6T96cKnkzBxNp5BuUw12YUZSiUcHb3sDK4VxMxWTAJigBYLbgZ3hZVqhS4RUyEVTFwCy3ZqZRYWyU75wNacABkmqdLPPUd6hh7idyHDlsGZume9WNC1PN14n4br8rgIcEwCYoAWHNqFArc7R4P3CLcOJUM3ALXqdKEaqHMArkgK3A9RZZ4DitUEhAxKHDwQUkNBkVM16S9bRznDqkg2JcBk6AIgEozE0T5gygXuK2SgLcDt8gSjzUYUaHrKWKjt2r5CvhJiNTaEIOigm+GSOaPSjxoeJfJE3gvirv7BgYs/ZQKSacMmARFAChwq3ATBf0kvB24RXYJqBS4LQq52+OiZ4EBzQrcSqxTXCJGDAqOL0hLCrjVelGs3+nzWXOH3E7GRDJiobPe3L93ZcAkKAIQnICbqo4FvBAGRZ3AHSwJeLtLgEo8QsXACq1TRGJNgTs7NcX18QUiS3b4f/byyd5FLuszRDK5KpWzRCacKjqVi4ZJUASgoWN8lHiUCmjjxGFV1Ch3+yaP19NtF2RroxfAFKELMs0dclu3ILLEEyIgdX2d4rrsQif9qsGgiLqeDQrtuTJgEhQBIPGo21luQnwcpAs8iaoUuIMJSo84TVFaKpsp4tVaPm5+5ILs9pwakYEb2z+tuSZuMwuUcApIxOz26G7vRSK77Ow6FPcTMXGlZsRhS1fk/p4rAyZBEahBcbv0QeyJaFW52+sU3fVBwSwxIR7yUlMVmdrsE+KCTOVJtwO3SM2CfaN3PaAJLNnZGRS3r6fIUpa9BddtDYpIJjeUQXFf+CwDJkERAApo2ArmZr86DixEdPv6oLc/UIt2EhTMMHDT73IDKALE1jtRJzRf/wA0c1bM9Q1Q4OyWkBO3y4E7U7hmQY3ALbJkp9L1FNllF2LW5jJTFLyeYkWyhabEYxCrg2NCfDzkuhi4c/ibpUXQ5tfT12+dFNzcGCho43TlLp+zg8iGUqvuBbSkhHhI5d0YbYIDd7HbiZjFFPV6OxETzRQpxiyISsRU0WaIbDNGmC4eA0f61Vu6e1x/w1ibAv9bxFLl6Z6lVe0CUhUSMaGiSgWupwymSJnAnSyuZKeSBiUoHvV5+3rSOgVpihoMg2LgtLDSLVDZpUVk4O5w/8QtWoAXwqBkur9O9Hzo52JWcVR5uhIluzYBs3hUDNxeT8SCJbsej19PcUaKCMOgGHjGrM0q8UhgUNzcAIOnUHEJyiHL3Mv9dYra/OxiQzdLH/aSHZpweTVwyyjZqRK4RY7cUIv5oxlSoq5npxJaG1kwIllBUGFODRpRiTy1hARuFwOa6I4PVWzDZTBFhxRgxORcT/cD9/gs2Xm79BE0ahOrQclWwGRQBkyCIghkHOSmBiUnVXxAs/wkXA1oYpXzqgRu0adQVQK3yPEMSjF/Ekp2Qb+XNDVKdsLaqbussrabgVu01X1LT49lMui2V5EMmARFEMgjxOslHhUCNzFFItepQteHjBKPCoE7OJ5BTHlHlXZNmdczNy2VlZTcvJ4iu+zs7sBuXVO0lMgUnKD4/UF7B7fZIhkwCYogqGAcJKPEc7jd/XVSK7eodmpVErGsVAmlD4UCt9D7ll/PfBdt/WWU7Jq6u1li4OY1FV3eGeIO7NIhgq6n6PdogyIt1TIQ8Ttz6dKl8Pzzz0NNTQ34/X44//zzh/zM7bffDgcOHIDOzk54/fXXYfr06SHfz8vLg4cffhhaWlqgqakJHnroIcjIyAAvoa7d/YAmk0FxUzwqhUFRYNZHLnexlXE9UbOAoxK8OJ+GvIrctvWXUbJjJ26X2VzRA/QGv0fdCtzEFIkyxlSp007ZBAUTiXXr1sE111wz7PdvvvlmuO666+Dqq6+GxYsXQ0dHB7z66quQwm9SxCOPPAJz586Fs846C84991w4+eST4cEHHwQvQQmqXAKzoAJTlMM3BimBOz3NNXdgSjibBa4zZB6PSzOWRLuOqmLrL7olVZXkOitFrM09we35SjJKdiEMyjiYxxPocYsAr7zyCnuMhBtuuAHuuusuxrIgrrjiCqirq4MLLrgAHn/8cZg9ezacc845sGjRIlizZg37mWuvvRZeeukluOmmm+DgwYND/s/k5OSQBCcrKwtUR117hzLdEKIGkQ3u4sG4jSc215gFgYkYnUJR7IfeNrQZuuFrI7L0gYEbh0Aig4JJJ11fN8TdIhMx0hXhGt3SFWVKCtzWidut0oekwO22TkxGyS404fR+guJo8XXKlClQVlYGb7zxhvW11tZWWLVqFSxZsoR9js9Y1qHkBIE/PzAwwBiX4XDrrbey/4ceWF5SHbQpeL3EQ4Eabf3dmmqcTd1KAteJ7sB0cnHrmlKCIjxwu6xDoYRT9DrdnsdjBW5ZAc2l+1b0vCFVvG0sRkzwOhuMBiU6lJaWsmdkTOzAz+l7+Hzo0KGQ7/f390NjY6P1M4Nx9913Q3Z2tvWoqKgA1UEnz/TkJMjk5j1eLPHgIL1Gl1sZZZQ+7F4obm30lhhY8DrdFgTLYIrsJ2633IGlJWIuaxYyJXRl2a+n2xoU8QxKF3s2DIoi6O3thba2tpCH6kAHTKqhu7bRS5jFo4IXSs44Cdx0QhO9ziBVnu7phNNtBiV43wbKh151Bw7O4fG4BkVClx3CMChRora2lj2XlJSEfB0/p+/hc3Fxccj3ExISID8/3/oZr8AKaJnyO5RQD2IFtB5vB25pJ246ubi00ctiUIJUuUuMGK2zSzSz4G7gljErSwUGJViaFJyIuXw9ZbTHq3A9tdWg7Nmzh4lczzjjjBBBK2pLVq5cyT7HZ2wzXrBggfUzp59+OsTHxzOtipfgZuDG4Vzk3tgiUCSrgp22rBO324lYtqSN3u0ONBm+Nips9LnjJHDLYjhVYcRkdSsVjAORbGI0bcZ2XxMUxh599NFMQ1JdXQ2/+c1v4Ec/+hHs2LGDJSx33nkn80R59tln2c9v3boVXn75Zfjzn//MWpGTkpLg/vvvh8cee2zYDh6dYU36daHGTUHb198P3X1i3BtVCNzojok6H6mlD5cDmugat9uBW5oYWJXA3eXtwB1MxOS8P90K3LLu24ZxpEGJOEHB9uD//Oc/1uf33nsve/6///s/+PKXvwy//OUvWRKDvia5ubmwfPlyWLZsGfTYTkOXX345S0refPNN1r3z1FNPMe8Ur8HNVmNZp5YQsaEb67S1n4sO3G4mYoGSXfI4O3ELZorGWeB273qmSknEgsxCqiuWB7JEz/V8nTgJG+ccdfSKFR9rlaC88847EDeGUdVtt93GHiMB24wxSfE6LAbFBZdcCmai69tuB25Lf9Ldwzw8vBq4sWSHrdxSSnYmcEsN3MITTh7Q0L8HTQZFv09cK2UNsjwgpsFr6+z0+aDL54O0pCTGong5QTGzeASizsXAbXkPSGBQ3BQbyhICu56I8XX29PUJL9m5aeyFk2hx45WpWUDHXDfcgWWJnu2BOy8t1bNMEXoVNXW5Z+ufK4kpsr9Hva5DMQmKQNAgPVc0KLzlTUbgDjJF6e7pMgSzCm77DwSDmfh1WoP0XAjcxIjJKNkNdgeWCXxZLSPFHnmB2w2vIrnlZvdcVmUlYgi3TSNlwSQoHj1xW5OMJTIormhQJHV8uD1ILzgQUSx9jKAZNRi4ZZ/Q7KyC6FIEBm7LZFDyvWvvspMR0Nw0GZQZuN30ZKK9CCdIi0Yt1zeWuGBhIRMmQRGI4Jwa90oCMjUoBS6MrqcSj6xTi1uD9GRez/4Bv3VCk33ilmVG5zYrRkEbJ9/29ImbfEs47NL1TEkMluxEazPc9iqSVbKzN2CUmgTFQMfALZNWxdH1/QMDroyuz02TxxTZJ+DKZsVkbn5usmLjbZ0yEms3GRRKrDGxF+0kG6KHk5yI2Y0xmyUmKCUmQTGIFjgVtq9/wBXBoawBXVbg5vV82YFbVh3fbUFw9rgL3OJP226euK3WW0nrtBgUyeu0m+7JaB4KMmLp0vfboDGm+PfoQcOgGMQKfENSp0CJ5FZjSyTr8YCWLX2dLjMokhIxtwK3pZ2SUMoKuW/TxwmDInmdsszLhmpQ3EnEOnt90NsvvmRX10YMihHJGsSAQ+3uBG7ZzMIh1zZ6OonKZlC8vdG7dz3HB4MiO+F0j0GRyxS5lYjlSTJpGyySNRoUA0c2etmZLp1E2yS0pYacRCWvkyY2y9vo3enMshvSyYBb7sCymQW3GBTZJTu3Arfs6+lW56RMzR/CaFAMHMGhjg53Sh/jJHBbG70EcyQ3RXjBgYiyNAvuTDSW2R7vpg28/ETMnW6lnDR3AndpVoYr11NGi7GdQcH3SzrvkvIiTJuxYBwizYJktbXsdk23RZXyRLJdLjMochix8XLidsvWPyiSlfv+lG0aKWs+DeEg12bg9ZTpVZQjeZ3tvT7L4r7UwzoUk6B41GU1R7LYMKhZ8LZvhvsalG7JHj7uaBZkl3jcY1DkXM+D7e3WPiQzcMteJyac2DmJHTUyGxPI7kCW1ma8mLWZBMWjE40tkaysjd4tMbBL7bfudfH0elqDQqXJVhfEwDJt/WWOLiDmD72KcB6PzHtX9vsTOydrXSjzyGb+xotZm0lQPBjQsCaZmBDvUpeA10s87mhQgkyRXA2K7EF6shkUTFDQRAzfLzKvaTBwy7me6FUU7PzIBC8HblpnmcTALTsRQ9RSq7FkvY1MmARFMOpcGBhImwJSnbJGcbuRiKUlJUJSQoJcBoVG16enQRJPAr144sb2WwzcSJW7EbhlBTS09a/jQvbyrEwXRM/yA1q5xIAmW2uDqG0LlLNKJV5P2W3G46XV2CQoHgzcNJkVLehlgahyVJXj/A2ZmzxS1ygak+UOTLb+sgI3JkLpyfLmmVDgpmtaJjWgyXNAJhzkAa1MZoLiArNw0IXALXt0gd1lVWbCKVtrM15ajU2CIhi0yeNJn25i0cjjCUoTnxsjA7gB9fKhZ7I6ItzY/LDGTeZespJOSsRkip7dCNxYSnIncPOSQLZ8zcL4CdzymSKZGpQcyXYHCMOgGMQMtD1u5kyGrEzXDQYl1DsjXa4HisSgHbIBSqrl203aUEsgCwckJygkkJUduGmdcgM3lQS6XWBQ3NBmSFwn71iSqUGh6ynLBwVhRLIGWnqE5KW7lKBILmcRsyCr44NQQ4Fb0onb2uQllj3sAU1W4M6RPM9kcMIpKxHLSLaJ2CVpiuxMkdcZlIOt8ktZbjB/tabEY+AE6sjuXlLgzk8LaCOaJCcoJAiWxRTJ7uAZHLgrsrI82TI+JKBlZ3r6elpMkeT71tffD50+OdqpEAZF0jpRi5bGXU6lJiguiEfdKNnVWQlKOkhstJMKo0Hx4Jwat0o8tNFXSApoFlPENSGycICf0GSJR93Y/NwofbjR8eGG1kZ2K/XghFNWiYcSa+wGkyl6DpZgM6QEbjS+o3KzzGt6yKZvpEOp12ASFJnMgiRnQxLJYseJG4Fb1okbPTrcTcSyPK21kZ2I0eBH2YHbLa2N/AQlyKDI8Laxd2RJlE6xtnHytpEh2LeL2GUm177+Aevw69VWY5OgSNWgpHmaQalpa2PPFZI2+nyXtDZWIiZpnQW8nVk2U+QWs+AWg4JUuQwbeLfWiSducpOVsRe5ocugFnkS7MtIronhbO/phT5uQeBGmceLMAmKBJARlCxthtVm3Nk9LhiUBtklHp6IyQrcBfx6NshmxChwZ2TICdySJ9+6ZQPvhmcGAjvAgt42mZ4tTcrutJM9KHA8tRqbBMWDc2pc06C0yi195LkWuIPzlRLj4yUyKPLbxmnwmowNkNYp+3rabeBlBO6cNLmTqYdlxSQEbre0NvbkWobexq2EczyYtZkERWIXj6wsN88lbQa13+KbRYYNvFuBu76zk5nSeT1wo27A8pSQELjzXWLEQszaJFzPPBc8M9wwpXPDA4UQTDhlJihuMCid0luqZcIkKBJQ08q1GZJKH/kuOMnaA7esE5pV+uh0I3DLa8G1GDHJiZhsvU0B1xS5k6CQt42MdbqZiMljUIjhlC3uts/jkcmIuVHKqrNKPEaDYhAD3Yiq8pTEROHzW5C5yOJdArIZFAzcVmuqjMBNDIrkdSIO8KRTTuBOsxJA2ZAplHWLEZPdUk17AI1M8CqzQAcIN9ZJBwgZjJgbrsCEOppobEo8BrG0g5FQtjInSwp9jAmRbMOrkBZcwRs9tknSWmW3U8s2MaPShzuBW94EXBI9uxLQJCZi+S4yKDJbqoNMkfzEOjiPRx7DaUSyzsOUeCShhlPllYIFpFZ5p7tbqveA7E4erPuiBsQtBkVmS7VV+nAlEXMhoLmYcJZJZFDcSFBk2vq7yRTJdM21GM4O9xixEsOgGDijQ8nybNnDHrjLBa+TNgWcw4MMlWwETczEbvRYrkOnSESDm6WP7HGiQZEZ0FxkUKSKuzu8XcoqUqBkV5CeBsl8n/ASDIMiCdUtgcA9QXCJJyiQdSdBsVqNBQfuYIuxO+s8KClw0ykUB+h19/WBbMgaGJielGTNbXE1QZHBFFmiZ/cYFBlusu4yKIF1ou6P9grxDIr8UlZTV7fVmCBrSKtMmATFY508QZt7dxMU0YHbsrl3YfOzl+xEB26r9daFsodMpojYk56+PmjvlTdAT7a3DZ5yaXSBG4HbbgMvWrDvZrcSTsOm3yv6PVrI7fTduJ4hZm2SRlLIhElQvFbicanFeLAXiuhNYbAuI06CYZobzAKtkwSyyYJPgyOVBDDY4HRa8a7AgXWmZWdDnMQRrdghhdOFUdck0jacrica4KGIPSMvF2TbwJObrMh7F52HqdyMgTs9JxvcZItkJWIpEmb/jNxqbBIUgxhLPLJEsrjRl82cDhf+8CY47aovguz2W9FMkaW16eyGuacthbvefw3Ou+lakJ2I4Wk4MzlQmhDd2TL/U2fAne+/Bp+9+XqQBexM6PL5hHtn2Df5Bed+Cu549yWp1xMF5TLcZIm1QIZz0Wc/DXe8+zKce+M1IBO13HxP5ImbmD9ka6adeRrcufxVOOe6q0EmgiaD4taJOTQlnaUnHAc/W/UmLPv210Em6jwslDUMise6eMhFtmLJcXDTU/+AE//rIrYBFk2eCDKpctQTiKz9Uh0f8vPgiv/5KaRmZrC1ZuTmgAx09PosYyaRJ1EaiNidnAT/9dMfQ2JSEpx46YWQVZAP0luNBSadtMm3+f3w+R/fAvEJCXDSFy6GvPJSkN46LvJ68vdnU28vnH/Ljezjk6/4LyieMglkX0+RCQolYs09PfAZnmieftUXoXLObPBSqzFaHeAMJ8RJ1wQSk7O+8WWYdcJikIVaw6AYOEWVpyYlWqdFkQxK/pFzYaC/H9oaGtnnx5xzFsgACjmp9itSKEsMyuTTT2ZBu9/XB0kpKexU6iWhLN0rpcctYuvDa5qYnAwnXvZ58FI5q4BT41kzp0NKehoM4PC+pEQ442tXgvTWVAmBO764CNL465mQmAjnffda6S6rYq9nYJ3dKSlWGQuTzkt+cit79krgpuvZPjAAWaUl7L5FfOFn/w8yC/JABmoNgxI+4uPj4Y477oDdu3dDZ2cn7Ny5E370ox8N+bnbb78dDhw4wH7m9ddfh+nTp4OXgaItyugnCGRRiLXoSU6Gda+9Bc//6ndSExRZQlkqffSkpsH2D1bDMz//Nft8ycUXSNMuyBDK0om7PzsbDu7YBY/9+Kfs8xMuuVCaHiUolM0QzqBAYQG0NzbBP773Y/bpceefK41FkeEmW5ARTFD6fD74vxu+z5LrOaecCDOOPxZkMkUiJ/1aAtzCAvb0j5t+BJ0trVBxxEw46fKLQa4pncj7NrBOX0bgtfzXbXfDge07GcP5meu/BTITlHIjkh0bt9xyC3zzm9+Eb3/723DEEUewz2+++Wa49trgCQE/v+666+Dqq6+GxYsXQ0dHB7z66quQkhJQt3sVMjp5iEHBksDmd5bDprfeA193D6OQK2bPBKlCWYHrpESsOzkZ1vz7Ffbobu9gpazpxy0EuQxKlvCNvjslGT548llY++KrUL9vPytlyWKLZARuSsTwer73yBOw/rW3YPvKD6WyKDJajQts61z5xDOw4c134P3Hn2JfO1PWOrk2Q2RAszMouMZPXn0TXvrtn9jXjj3/M+AVUzqaUN+dlgr7N2+D1c+9CC/8z/3sa9OOPQZkoLo5EFcm5soXImunQTnhhBPgueeeg5deegmqqqrgqaeegtdeew2OO+4462duuOEGuOuuu+D555+HDRs2wBVXXAHl5eVwwQUXwLhIUAR6oRTyTaczPgG2vPcB9HR2wuZ335fKolhC2Sxx6yzi68SNHhmU3q4uWPPCK+xrSy75HHjmhEYbYHIy7Fi1BvwDA/Duw4+zr6HmxiuB20rEklNg54dr2cdvPvR39nzk6aeADBxoFR/QKHB3JafAtvdXsY8xUUFMmHeEFPbvIGfESiVcT1zn+tffYh9v4ftQyZTJrEzpBTdZKxFLToYPn30B/H4/VG3YFPheZYWU7qV9La3seaILnVLaJSgrVqyAM844A2bMmME+P+qoo+Ckk06Cl19+mX0+ZcoUKCsrgzfeeMP6N62trbBq1SpYsmTJsP9ncnIyZGVlhTx0RDUP3CJLPAUZgTfjzh27oas1cON+/NJr7Hn+OWeCV9xHi7MDb8aaQ4eh9dBh9vHKfz3LnrGrB+v68uYOibuepfmB+n1jdw/U7doTcj1Lp0+FZH4i111rU8br9e1xcVC9cTP7uGr9RlbTz8zPkyIKrpXALJTlBUTcnUlJsOeT9exjZMSQ5cQW1fzKCpA2SE/gOov5vYLM3561gXU21x2CjuYWxoqVTJsMoiGlK4sfIDAR2/txYJ3dbe1weO8+9vGEuUeAaFQ1t1i6PBoU6xU4nqD8/Oc/h8ceewy2bt0Kvb298PHHH8NvfvMbePTRR9n3S0sD9eS6urqQf4ef0/cG49Zbb2VJDD1qampAR5BmQZQXCnoPZCYELunaD1ZbX9+y/ANW584rK4XckmLwgjYjl78RN60PBDPEwe07obujg4lmCydWghe0GcQUbd++y/oa1vJbD9ezj0umTQF5AwPFXc/S/ECCsnf/AejnjrkYtBv27Q98f8Y08AJTVFFSxJ7rmppZIEOg8PngzsD1LZ85TSqzIIqwmch1Q009vdB0sNb6+oGtO9hzxayZ0rQ2GclJwgL3JL7Ojvh4phEjVG/eyp4r54rvWmrv9VmNCZM8xqI4nqBccsklcPnll8Nll10GCxYsgCuvvBJuuukmVsaJFnfffTdkZ2dbj4oK8acMEajhXiiiEpQSvskjVr/9nvVxX08P1FcHNvriqZPl2d0LOnGjYVgq31g/4eUAwqHdVdICN5XsRGpQcjgTtGndxpCv13I2pWz6VPCENoOLZLfzAGb9br7pl0lIUCgRQ11BEk/0nUYJDyC79gTuU8JBnoCWzwowzyJR197J/ElwxhO5oDqNci6O3VcTTE4QNdu2B74/W/w6O30+NqtL5IyliWWBBKWmoYklmoTqjVsC358nnkFB7Gtu9aQOxfF34T333MNYlMcffxw2btwIDz/8MNx7772MBUHU1gZu2JKSkpB/h5/T9wYDmZi2traQh84lnkpBGpS5/M3QlZAAdVXVId+r272XPcvwWzhAAwMFlT6m8SRrIC4O1q/6KOR7dbv3SEvEgr4ZYk6imZnpkMJHUn/84ZqQ79Xu2M2eS6bLYFACCQqeQkWZ0mXHBbaijes2uJag4CmU5pqI0i3k8ZP81sGJ2Pad7BnNFUWjb2AADnd2Cg3cRfz/3bknsO8QarbKS1BklCdL8wMlu6qaAyFfpzJlpYQSj73MYxKUMZCenm71ghP6mYV0YAPas2cPHDx4kOlUCKgpwW6elStXgpdBJ+5KQW+WWfw03RyIaSE4xE9sJRICN5V4ijPThUzYPHphQB3fERfHRMB2kE6jdKqcGrfIk+j8YwPdSPhu2suZIet37wokKKXTpmpvSjcBtTQDgcRgwyeDmKKdfJ0zxK8zVPjs/DrRvj+TJ5wbuP7E+r3bAglL+azp2ne4oM9JblKA+duyeVvI9+wlHhmC4L2cWZgkyMCRxMA7dwb2HXsihowKltSzOJskElUtYtfpGQbl3//+N/zwhz+ET3/60zBp0iTWmfOd73wHnnkmoFRHoCYFvVHOO+88mDdvHvz9739nnijPPhsQOXoVFLjRZZXagZ3EtAmB0tfh7qGDAg9JZFDQlh2HvonSZ0ydGnDFbfENne5bu2uvtBIPnkRprokIU7q5RwZOX4G7JhR1fEOUFbhFnkSPPm4Be8YUpZELGwczKJiIyZi3FPSUcH6dMxccDcn8fVF9oG7YdWLnR4qEqbT7BbK5yHal8/EIdu0U4tDeKvD19DDn57yKMhCNvZxZmMrFyU4ChdtZPOHcsiU0Eevt6rZYaxlC2X2UiBkNyuhAv5Mnn3wS/vCHP8CWLVvgV7/6FTzwwAPw4x8HjJcQv/zlL+G+++6DBx98EFavXg2ZmZmwbNky6OkJnNK8bNZGcxMmCNgYJhYXsueD/GYdjkGRUfoQLaycwOu+w01JpRIP+qHIcKykcpaIk+gk3tHRNMx0X2JQ8ISWKnhgoWgvlJm8fNM2iHm1d7igKV1BZTnonIgdecyR7LnfD2xQoB0ofMYuF0TZDPEsyp4mcYF75sKjrETs8KCEc6Cv32LFKiTobfbydU4WsM7J84+EtN5e9vGB+oBjtx3Vm7ZY7eOisc9oUMJDe3s73HjjjTB58mRW7kGHWExOfDyjJtx2222s3TgtLQ3OOuss2LEjtCbrVYiaahyfmGD5GlTVBdpuh0tQsgsLIE3wPCDR05vLCgMtp4c4rWlH04FadnpBW/h8CSc0ka65lbzjo6E9tIyFQFO65trAKbx06hSthbITK8usVurBQN+XWp50lk4Xr0Opoo1ewEl06uQJ7Lmlv48NJxwMKvOUSejkIWZhioBpyrOPCHSu9Pv9QxIxe5mnXIJxpJWgCCh9TJ8fTMSQNR4MEsrKSFCqrFKWEckaKNhqXDx5EmTwJHC4BAW1GnRCkyKUFRS4s4sKIY9T/dWHG4YNaORBIENvI4pZSExJgSLOsh1sah72Z2p5mUeKUFZgi3xFYYD5O8xfy8GoJaGshMBNzMI07j/jJCZwGwWcZDwcZHby7GlsFsYsTOJMV7Nv+ESshidiMhiUPTwRE7HO6VMD+2jfCIkYCZ+LJQxqreKHNZxonCrBA0oWzDRjyajmrcZOl3hQXJfR0x0yDMxNHUqNoMCN9e2M7sBp5cAwDIq9zCPHI0RMIlYydZJVxx+OKQoRykpoNSax4RSHN/rc0hLIjg+IJet4cjBS4JbRybOHJ4NOrxMN9ci87BDfA0YKaOUSOnkoEXN6nSh8reCl5nquzxqMAxI7eYhBQebP6cA9qSKQcDb39A6biDXUHLTucdHl5qaubmjrCZSbJgp0KpcNk6BIhqjSR/msmZDOxbGHhikJhHTyTJHhhSJm7lAgQekOafMdDPIIKZFQ+iBGrNLh64nljOA6R2AWdspLUHbzE/dUh0sCKPJN7e0ZNaDJbDUOBm5n14nJMq3zEH9vjFTiwddEdIcLMQto1Z7toIkZDnbM5n/7iOvkiRgaR4q2gke2irxQJjtY/kAhcxG3UTg0SGdDaDtczwTB6Gqdw8u1MlqNJ3mok8ckKB4ZGIgMSjp/I5IQdzCkeqEIcpNFR1FKxEZiiuqsTp7J2ooNWSLGSwHE0oxU4imVwBTttjELTsZO7M6h+5Y6okZKxNAdGEtforUZ2DqOni/WRF4HUDptMqTxE27DCCWew1XVgQ6XDPEdLtg6TgcZJ1kUPBSk9YyecPZ0dFrusoWTArocGXobJ8s8WD5O4wnn4REOSjiXBzVxiPxy8Xo4Sz/lIR2KSVAkY7+gE3fFzOnWG4ZaJd3s5KE2xgkOn5BCGJQREzFu1jZlkvCTKDELuPnhqAGngKdoWid5VgwGeb6gLkf0SRQHkvn6+yE1KdHRpBPZn0xesiM2ajDQ1h9nuCBNXiI4ue7p64ca3pk11UEdSsm0qdb7c6TAjb4ZDfsPWO3G8spZzq2zdDoyRb0jCkcJVuDmHXkyDhGOJijIiFHCOeo6A2WefAkdaPssLxSToBhEif38JnIyQUEjIHRujPf7YcDvt1wiR2JQsF0zIUmMI+jgEzdqbZwya2MBCrUZYwTuhuoa6PP52PA1rP+KBAazbl8fM2ubwAcYOgG0sLe0NiMwKDjBuZHXuUXrbfoH/NYJbarDAY2YopFKWdRuTCUEHVmxwDrpeg5/3yKIWcDyh5bMwrQgg9I4WuCmdUq8nk528oQwRSPst3YdSn6F+ASlyoOdPIZBkQwSj6YnJ0GeQ2ZtqPpPt2jVLhZMhkNbfQN0tbWzQF8kmFrFeR8o2kqIj3eMQkaKPysuDhK4Iq2uo2PEkyh18ohmi/BPcbrzA31N0N+EErHRAjcmY9IDt0PrRHYLN/qxEjEEtVSLTjhF6VAwcGdSyW4EbQai+WBgnXllMtfpbOAOXs+OMRmUPAmlj2BLtZOJWLDEMxqD0sgt8GWUePYJbJF3CyZBkQykkA9zitcpy3ush1IwG0l/MriTB43MRGNXY5OjgRv1J1T2wNfQ1z/U2GvwBphbWixvnQW5jrEnSJNjIoZ6CEz2RkIznwqeO2i2lUhWzKnriafK5NSUsBIxmSduKts5FdCQycMARYGbDimjB24J63S4xMMSzmmTw0rEpDJFwhKx0UvNiCaLQZGhQWlhz0aDYhAT9vM2w0qHSgKYbKRTi/EYCQptDDJOorv4Rj+9IDhl2amyx0jlHULLoYAXTE6xePX8Toc7XLCDJ5OXA7Bch5b6I6FJ4onb6U4e1NkgTU6J2Gj3bpBZkMEUORu4mVjb77dKPKMmYrXy3p9W4HaoJIB/MyZjGV2dSiViTpu1oasx/t10PWlK/aglHokalPKsTGHTuGXDG6vQDCQgnZTnUIIyaUKwxXiEsocrgbvBYQZlOnZ8jN7ZQiBTOiyVyDqJTneMKQoKZEcLZohmSjhlJigOXk9aJ5brRipN2hMxGYF7t1XKynGuU6mnh222/eiMO9qJW2LgtotHndCSo2FgnN9vvUepY9F9rU0gcOempUJuauxdYGyMRnw8ZPC9lhofRivxoJBdtO6vrr0Tunw+VlZ3ugnDLZgExQXs4IF7er4zzAK+YTJ4q2btKOWA0MAtj1lwdp3hMUWt3E03W8I6dzVQ6SPP8URsJK+XoQyKzJJAjnMdPGGwCoimgwelazMqsrIgJTHBkcBNp20MIqMmYlZpskR4BxoelLAzKyUxEcoyYy8348gFvG/xFevrHxi1NEkJCg4NFD16o9Pns0rfTgiCUU8UPzAAGTSHh3d9DYeOpmbm4o0JjYx7t5qzOV7RoZgExQVsbwgMlprJZ8rE6lCJLEFaT3gaFKmBmycoTjAouFmjSJY6PkbyQHGDQSENilMeIciIUSlrTAaFxKNSmKKguVeOAydR9G8Zy3RvcIlHxkkU9U0o8I6Pj3NkOiwyKJSIjcX8YUt1f18fJCYlse48kcBEaR8PaE4knfZEDA8Q2FE4EnAAZBvfB6XqUBwo85TwRAyDJyZ4I/n3EBpd6OSZ6JFOHpOguIAd9YGANsMBbQZ146TwjW8kV0NCM09QZAQ0KvFg21usNVE8UeIAwHTe0jeaME12KQs3eTwxYmdWrCdRrOHj3xxsvR3jetYGEjE8heJpVLS5F2l/YtWhBBLOCbbW29EDN/qg4BBIWfeukzoU1KCEW7LDDjS6d+WUeZzTFWHgpkRstPKOG8JnJ1uq0XQvuM72YW3uh01QJOhQqmidHnGTNQmKiwwKWi/H6hFCCUoqr4eOVfpoOXRIWuDGv6WdWo1jfMMU8Umwya2t4YlkOYOCBmZJDpz2RwOKWGkDjFWfUTipkj2n8HUebB89oKEXCgZvefoMZ1ix7OJCJjZM54JKch4Oiy2SWOaJ9XrivYcMgSWoDGedVLaT2FLtSOlj6mTLdG+shDNEb6OZWZu9lTqcRExqq3GLYVAMYgTWZlu6e1jgjlVYWcSdNTN9gXroaHVfROuhevacmJwMGQJGrY9c5omNLSqaFGiLTg+z9NHd3sFqv7KSMacCN60zlde1D0YQ0OQKZWPb6JE9QSQ3N4cf0PiJO19KC64zrakFEwIJZypPOEfTK7jCLDi0zqyCfMbgEcMZTiKmo1kbztUpmFARwqCMhWCJx3ihRArDoLgslI21zIMMCgq2SGY2lgYF69tU+5URuIOtxrEyCxNYq2Z2f39YTBGihZezcqToUJzp5KHZJJncBGo0sys3TMx2O1QSIOYvjTN/YyWcoYmYzNJHjIkYT1BSWloiCNwy1+lMgkL3bTLXY4VV4pHIoDiViGFygkaXaTzhpI5M1TQok4wGxSAWbK93RiiLJ26yXEYdRAPP7MMRkMoJ3NRqHHsiloz29VyFOpY2w56gyBHKOtOCywK33w85vLAdTuBuqpVXEnCq1ZgYlGyfT+l1xqpBKeIlO0trEwmzILEzK9bSRxG/nsT8RbROmRqU3NiE7Bbzx/e1cJg/q8Qjxayt1RoxEh/DQnGO2Wdu+CYcdfbp4CYMg6J5Jw8zabN5SYwl2LJ38sgYAb7DITdZTMRIaNjc1Q3dfX0RJGISSjwOdSxRwpkYFxdwkR3D10a2F4qViDkQuJH5y+WbaHjaDHnrdIxZ4AEtp78v/ETMYhbkmbVVoMg6MTFmBiWLH5ZGM2lzw3wP22/RgwaHXZbGICYnjVg614aNZtI2mOHEMpjoDrQDbe2sswhng5VlRb/OSUfNhdO/cgUsufgCcBMmQdG4kyezIA/SsjIhzfJYGDuYSW/BbYjdTRbrvnj6CLcldbBQVmaJJ2amaDK2GJPp3uieGe54oQQCGhpBxSLwxsBNiXVvX39YzJ/MdeJJFBPEzJRkKM5IjylwJ/T3Q1Z8fASBWx6D0tjVzfRwJNqPFmgBgKejPP/AmDb31u/miRgGbhlCdvIIiUWHUjSI+QunxNOJk8B54pZdJLZ1fMDvt9YZyyGCEuv6qmpwEyZBGe5FccCcKWwGJYbATYLKeG6PHXbglmoD32RtftG2GlPdN5nX8cfqbHFjnXTiRn8Q9AmJBhm5OZCenR22B8rgVmMZc4fQI6Sde4REyy5gizFeU/ssk3CYP5lusr39/VbwiYVFwYBGgkps06ZkIJx1ymgdD7GCj2GdmKBgCTYtgkSsq7UVujlDKHN6cyzXk7Rw+REwf+Rvg8gpEr8XbTncwJ6PKC6ImRE7vM8kKMpg9tIlcNeK1+HqP98n/Hft4MxCYUY65Ec51biYD/xL4YGYgmT44lHxbxZMmjp7A/bL0ZpeUTYPnCodq8V4KIMifp1YcqrmLX7Rlnko4QSecIzl9TL4xI1MURwPECo7ypKnTSpPNMNPxALXH9uTZXSgxSoIxr8T772g/mTs0/aQ1nFNZg9hgpLJE87Gzi7o8o1dgh3snKtLIoYl2KT4uDHHFgy358owyNzMOzXnFhfGzBTVV+0HN2EYFBt6OjpZyQTdKkUD7ZcpoEVb5qGAls2FabShqsQsODE0kDo+EjkbE27gdm2d0SYo3Osl/vDhiAJ3a31D0H20IHZ3YtFCWVYOYMxfXUTr7Pf5rJOoTMv7aNdJLcZJnC0NpyPLDS+U3TEGbtwv0WCQdBnhCEcJrdZ7tFCqUDYaoDUDJlLEiKGlw2iDPN3aizY5kKAUTKxgz/WGQVEH5BEiI0FBbOc6lGiFshTQCrgHCgUOlbQZ9jJP1MwCZ4pSO9rDsrkfrLVBy3AZZbuYAzdPOFP4Rhpu4La7j0oRylLgjvLETYxYQn19RDR5aDlLJrOQE1NiHVdXF7YHCoGuJxraiYZlMhjlOqkcEMdLzaMNzxuMFmvPlVCGbaQST5QJZ2U5m6kTSSv10BJPofIJShZ62mRksH2lYX+gA8ktGAbFhhZ+E6Wkp0FqVuzDs0TrUIomT2L10FIuVoy0xINsEZ58dGFQ8nnnzv4wlPOIjsZm6PP52KaSXSBWnObE7CFaJ7mrhqspQrTwwC1FKBvjOqkTwjKji+DEHTyJFkoMaDmxtaQ28ZbUiAK3RP1UY2wJZxFnxBL4/hluKQvRwtlCGWXYrdzaYW6U2ozBiVgkCYrMsvrW+kZWfkItXDQdS7RO1EIha+kmTIJiQ19PD1Ncy8p0yawtGgYFtQYoNEzt7YWspMSIEhR0WO3iQUHGGybIoESXoNAbppKvkxK7seD3+y1WLEeCgDTWFlwrEeO0cUQbPZ24Jdy3FlMUdUDjZnS8syGaBCVbhskgaVBiTTi5EDQc4agbDMo2y5MpDxKj0DDR+zON752RlHiswC1hnZsP1zOvKNT9VWRnRn3fJjU0RMwUEYMi477t6eu39qJoWBRLf+JyeQdhEpSRTi4SArdl1haFbgBr8Kg5yOCnM2QVwvEGcaWTpyH6EzdNa07t6YG8lOTA/xdmKUv2OoPMQl7Uw/OQEZvERdOUwCq3TlvpIxovKApo+eBXOqDRsEv0CMmNog2WtDbZ/H0ZztiCodqMIiklHvQWSklMhCOK8qNmiqj7LJzW28HrlFHiwcBNydhRUZS36b61PFCiOEDIOPiGlHlKCqNeZ/0+dwWyCJOguPiGIQ0KBu5IXf9o80vYXxORQNYdj5DAOnFgYKQnNFpnyoGAXfS+5tawOwSkr5Nfg+LMdMjiyVS4wECEXR9pbe2QnpTIzJZIvKha4MaBZD19fcz0KlLBIWP+KsshbmAAJvBEjBLYiGr5EgJ3c3ePxUoeHQUDR/duQTxvSY2qlCVH4L2u9nDU6ySmKNdi/iLXoMha53q+HxxVWhR9wtnbG3WJRwaDEqsOhdZ52GUPFIRJUEbQocigynGj7/YFNvqJEbbg0qkllU8nDlcg68YGiCdkbDVOTIiPeEYEZfNJ+/eHlIvChUxTuraeXsssL9LOLFpnwp691vUMt0NANoWM5nEb6wK/75gIRbmM+cNBlc3NzOgNvUGq+VwT1Uo8iHW8m2Z+WWT3D2q7cA9J7OuDcu6LQ7R7ZOJROSfudVzDdFSECQpj/ni3UjEvwUajtckqzGdeR6Kxnidi0SQolIgVROiB4oa+cRN/f0ZV4iEGxSQo47vEg65/tGlFHNAom4+wxdgN0RaacNHfF+k66c2SwTs+Iil7yBZV2jfASAM3tYyn1QaYou1Rr1NO4P6YB+5jIgzclFgn7a2yypzhmLQNYcQkBe5PeOCONEGxmL+aA4wdre/oZCZ3kTK5MuzR7QlKpAwK3m/oApvU0QkFnBGLZC9qb2xiLfKYnGTG6MIcyfsz0nXiGplXi98PJbzcF0lpUra+cRNPcOcUFURchqX2eLdN2hCGQXG71diayRNpgsLr+JxujJhBkZig2N8wkW70FLjz+OYecYIicaIxYi03nlpYXhJVy3g239xJnxR5iUfO9VxLCUqk66Q6Pm+93VofEBxGyhShyyqWxETj4wOHoko4rem+1dUh7p7hAo3a+vh7O7tQfAfaeitBKYqO4dyzxxoR0N4bfueHf2BA6nR1SsSm5+dBegSJHwXtxEOHWAkWxzPQYD4VD787G5tZGRZHNUzKCb8Mi8wksjyYNNKQQzdhEhSXT6LRdvLQCa2U28fv4q2Ckb9Z5ATu1TWBwL0owsmlFLhL/P0hM4xUTcTWHAgE3oWRrpMnYoW8s2VbmJ1KgylkDNoyKOSoAzdPrHP5aZJEi+Giu72DdaHJKvN8ws3kZhXmQxovYUTy/szi14VaXCOBTH3G5sMNLOjmp6dFVG6mdabxYEYuppEgqM8QfyjE+VboRI2jGiJpN6ZW6mRegsX7NpISrGzhc9/AgPXeimad6PA70BfYc92ESVAGwWpLlVQS2BZFJw8JDXEIGdGNZCoVMVUuKRH7iBKUCEeOs5Y3vx8mcNHpjkgDt+R1ruEMyrySQkiJwByONvqKhLgQAXVUFLKEtW48dJgJeYsy0tlo90g9UEr6AqfsbYejCNyUdEpgOdGLBgMajmqYF8GeQExRYWdHVAxKiGBfQnLt6x9gbbiRsiiUcOY1N1uJTqSQKXwOFcoWR8wUZfN/S4xwJJBpShdtJw+ts3DHDtj73avhgfM/BW7CJCgjnETRfVTGXJPNhxoi3hRwKBwKDTP5poAtgjiVNBJYYsPCAjYtWDQ+OXiImQeVZ2dCeZgn/PScbDZzBa2l0xIDnS17I6RVafNjwkwJ81twkuih9k427vzIMAMLutwWVFYwQWUFF1RGWuKRzf5hyybduwsiYFGshDMpIWpmwQpoklgx0qFEUs6iwF3OBTZb+GsVCWS3plqdPBGUYYso4eztiZ5Bkcxab4hCh0JC4ELeYhxdguJOWX1uJIk1tYwfrmd7dbRz4pyCSVAGob2hkVn8YtDOlBDQMJvv8vmYeVC4AlLa/OK5iClSgSyio6k5WOOWNHuI3jCLKkojyuYTeR0fWz4jpVWxloqzamR18thZlHDLPPnlZZCQlAgZnB3CYWv1nQFPiUggs9U4Gh0KCiHzK8ohvbsbspOSWMIaqaYo1JROcidPJAFtYiXEYyt1anJUWhv7YUleq3HkQlnaiyZxtpCSVlVLPKEdSxEwRXwvquCl5o38b1ZZsL+Jd/LMiWB/p3Xm8bEi0bw/nYRJUAYBkxMSbcl4wyC1SrqF4yeUR9YhwIWGuyPUn5DLqlXjlhS4qcxzbJgJCukyknl9O9o3i+zW1LWWDqUkonUmVlVFpctwo9XYvs5wdShow4+JWHZjYH3o89LbH3mdW37HEnXyhLfO1MwM1n2T297OfH9au3siakkltErWT607GFmCgi3GzM26pwcKUqJPxKSXeDiDggxnuB0uyCygd89kvs5NUSRiMj227H/j7KJ8SOBePOHGlokQPfPnJEyCMuoGKCdwf1AdCMBLIkxQMviQr2gYlFATsyKpQtmFYSco3BKdB7RIW28Hr1NVBsVyqOSeNlGv06VW4wVhJmLBzpb9UZexQnRisko8fJ1HlhSGZTRoeRTV1EStP5HtyYRYzxMinGocjnMutt0mpaRADn9/IsOJvjaq37coQEf/KTRTRPPIsYDCc7zXcjvamXdPe08vVLW0KL/OqpYW9reiQzB2LYXtaeP3w6yM9BCW1C2YBGXUk6icjWHlvpqoGJR83vERiQGUmzXRNZSglJeGdXKxjJH4ePNIBbJDSh9RmDPFkqDMKS4Iq/PDcuLknjbRBm7ZJR48ieJsk5LMjLB0RaRXyOSeNtHoT2TPHULsaW6Blu6esK3gLe+eg7WxJSiSAxqukewKwhGQWjN4eMIZjf4khFmQdN+i0WBQEFwcdosxXU8UAkfi3UMgxlqWKZ3fHxQth6NDQSYd/V6ym5shMzmJmWtGw4g5CZOgjNrJI2dj+GD/QatWmBPGyYVOaCX86kXqgeKWd8bGQ/VMb5OXlhpWRk+ljzKezETaYuzWOrHzA900sfMjnA2waHJgnaV8ZkvUzAKfDCurxIOzn2gDC4dFofu2gA/P26pJ4MaNHkXeiPlo1jUGCvgBIpeL2KNOxCRrMyL1Qwm2Uh92JBFLz85mAVKmIDicRMxKOHmpORqBrBumdPa/NRzBPq0zbfcei1HDZM5zCUp5eTn84x//gPr6eujs7IT169fDwoULQ37m9ttvhwMHDrDvv/766zB9+nRQBbLV8+gwiYPJsDf/uDHacLGzqHBCBWsxruBv5qhLPHydskofKHCljT4cPxRsSUWhIa0zWg2KTLv7aAzb2Mbg90NlcpJWJZ5IdSh04i7zD8SmtaF2zeJCRkvLAPmhhNPhQp0QJVyEHm0dnxJOtM1HXYvMwB2O3oYCWhFvpY6WQQnxtpGkz1gfgVB2cCt1tAkKM6XjCb1se4elkwPJZFjrPFQX8t72VIKSm5sL77//Pvh8PjjnnHNgzpw58N3vfhea+NRdxM033wzXXXcdXH311bB48WLo6OiAV199FVJS5GTPkWyAsmDpUCaOXubBIIsts4WHD7N6KJ7UsbU1lsAtM6B9dCA8HQrS97gxZ7S2sro/1rYjsZYenkKWt85wDdsSU1KYeDSjuxsykxJZZ0vUJTt+4kaBpgwK2V6jDodBwcCd5PNBCU/EYhUD4zTv9AiHFUaLTyxjunBKH5VMUFmeGB8Ts+Dr7oFOPqdIfidP+IG7gtc7ohGOuqUrsgtlw03ESn29Id0x0aBF8jrf2h0Q3h9fWQ4Z/H03lkdRGW+lJo2ZpxKUW265Baqrq+Gqq66C1atXw969exlDsnv3butnbrjhBrjrrrvg+eefhw0bNsAVV1zBWJcLLrgAVIAbJ9GVPEFZXFkenv6EW0u/H8NIbOoSkBm4P9ofXicPbQqJVfti0p+4xaCEK5S1nDh5R9aeKDtbEO1NzUEKOQLjv1jwMU/ExhphgF4veeWlrLMFgUMVmyL07iHgGmXao9u9ULBkNxZpg4lYdmcHpMTHszp+NIJKt6bgEsN5RFEBOwCN9R5N6+6G3MQEGBjwx6RXkL3n2gXBJZkBQeho71FkrMu5a3e0DIob+qldjc1sT0lOTIClPAEZy6NoMu/gofe2pxKUz372s/DRRx/BE088AXV1dbB27Vr46le/an1/ypQpUFZWBm+88Yb1tdbWVli1ahUsWbJk2P8zOTkZsrKyQh4iIVs9j/igOiCUXVxZxoaLjVXfLudCw/eqok9QLAaFtdvFSWVQMKCN1hFBuoy8gwF9ztYoHEcHb/JIk6dwdbpoED2KFukoOBsrEaPOlmhZBbcoZCwJYHCqyM4adaNH/xP0FspqaIj5erqhE8Pgi/qp7NSUUfVTOCMIDQHzW9us6xmNoNKtFtz9rW0seUSjwRNGYXOZp01lOeS3tVpC4i5fQEOlQ1kdBcFU/vjU9Kljlibz2togIS4OGjq7oJZPLI8GMu3uB7MoZ0ybBGOtM6ejAzITEliXUzSuwMonKFOnToVvfvObsGPHDvjUpz4Ff/zjH+F3v/sdY0kQpaWBEyUmL3bg5/S9wbj11ltZEkOPGt6+Jwp0E6GQScYkUaJH0S8BN8DRZidQP/5U7tz4fgwJSmt9PQwMDDCqXIbLKmJnYxNzvk1LShp1nUQfT+edLW/tCbzJokFvVxd08YAha2PAmR/7mluZrmi0ej4JgUt4whltHd8tQTAa8FFShTTyWLqM9AOBhHNbjN0BLS50fqziYvZlM6aMed+m88Q62vKOm2zuy9sDbPe5s6aP7madlAS5vHS/Jcb71iqrSyp9IF7avos9nztr5AQFDzTotl3Q2hIze+JGiQfx5q7A3nnm1Mkw1viUIq6z2VB3OGJTTC0SlPj4eMaa/PCHP4RPPvkE/vznP7MH6k2ixd133w3Z2dnWo6KiAkQCZ5r4eAtvdpH4SaKIAb8fPqwJbGrHTxh5fYUTK9hNlBoXxyhy7IyJ+nf29TPnXJlvGDxNEotybGXZqEMCk3t7YTq/Q9/YGX2C4sZwRHuZ59QpgaA1mkB2Hp9N89rOwDCyaBF0H5XH/r2+K/A3n3/EjDEFshMaG0JKJjoF7ue37hxzndRKnc2vQ6wJiht6uH/zdZ43e/qYiZi99TYWyGZQEC9uCyRiZ06bPGI5iyzus2KYweNmiYcYFGQ5cSZPWVbGqONTChvqldGfCElQDh48CJs3bw752pYtW2DixMBJsbY2cEOXlISeKvFz+t5g9Pb2QltbW8hDNCxqVZKqPFzDNtwYyvlNhOxJLPSxG6Z0iJX7Auv8zMxpozILEw4fZrQqdkEg9RwLgmZtRdI3+kvmzR41QSluaoLchHho6+mFFbzUFy3cEAQ/vXk7ez531rQRN3rSK0zt7ws5petElT+/JXA9T5pYyYYkjvT+RIZzFrcKp/e0TonYm7v3sXLWlLycEQckUmmyhDpbYhCOumHrT0G4prUNMlOS4eQRulwosc7hjF+sCYob921jV7eVcJw+ZdKo1zOP75NuG7QJS1Cwg2fWrFkhX5s5cyZUcRvvPXv2sCTmjDPOsL6PmhLs5lm5ciWoAkucJjGgUeBeMrFi5BbjiZVQwcsBy7nBWyyQ7SaLeGLjVvZ89vTJUMiH4w2ub6OF9gTe7kYn9FhgTRKVfOLGWu7sogLmQjrSBjiJlzvf3LWXjT7QT+Bdw7rJctNS4fSpgYPIYOB9O6mulumrUHwXjfW7myUexL6WVmY2iGU7TMZG2ujLGxogKw6gvqMTlscgYnfrxI1lOyoLjMSiYCKW1dEBk/v7WOfZm1znoJNg354of3qEwxLetzjEc0pXhyOtt268PxFvjqFDYYyY3w9lPLFWocVYSIJy7733wvHHH890I9OmTYMvfOEL8PWvfx1+//vfWz/zm9/8Bn70ox/BeeedB/PmzYO///3vzBPl2WefBVUQZFAkCmX3H2Anl2n5uXDcMOUP7ILAum8ZCWT3Bobo6VYTRc0CbvQoxPv8vNBkFpFbVgKJiYkwkTNqbziQoLjRydPa0wuv7Ng9IouSmpXJWoIn83W+vCPQmRULZLvJIpDFe3bLDvbxRXOHXk/a6KdyXcYL2wK1fx03+ue27hi1zIMb/bQDNdY6YzW6kt1+S/g3v0YjJiiTKmE61wK+u3c/01zFAtmD9Agv8QTlM6MknPj+xGMUdsOQsDbWdaKYGi30ZeFNnnCePnWEBGXSBMjq7IQMvx96bZPKPZegYAfP5z73OZaYbNy4EX784x+ztuJHH33U+plf/vKXcN9998GDDz7IWpEzMzNh2bJl0MN1HyrAjQ0QKf4nNm5jH3/j2PlDvl88eSLkt7VBms/HfEFoiFksaK6VH7gRj64PlAG/cOQRw5Z3cjraIaeri71ZcAN0jimSu85/8et58TAJCgpHcdBaSVNAB/TaztgTFNkDAwlPbQqs87Ozp0MSb8ckYPdOYXERTOBMkTMJivySAOI5XuY5Y+pENstlOI3Y1AMBJvQ5nrQ5sQ9hIosMqiy8uG0X0y3g5PHhxhjgvTu9JvC+fGpz4NrHAsvbJjkZMiR52xCzQOWsOcPoDTHhnLk/cBD8F2d+Y0FPR6fNlE5eMraiuoatszw7c1jbe7yeUw8esPRh0VodOA0hd/yLL74IRx11FKSlpTGjtoceemjIz9x2222s3Rh/5qyzzmJdPyrBDXEa4sHVn7Dni+fOYpbwgwN3ef1hq7bthMrarZMolnmQGsZy1tS8nCGnlok8oXh/Xw2jnGOF7O4Wwovbd7Nkcmp+7hBPFBQCT6yrgzjubBlr2cPN64nXCdtT8Z49lbeIE1i5rrERkvv7Wc3fCQGeG512JHrFUQQ4l+ecQd08GFgnDwxAVlcXtPf2whsxlj0Q6PeCE9YxyZNlj45ARmTV/gPDsgtYgp2clwulTU3sPfzs5tj3bru3jczkGluj394TSEA+PQyLUlFeApM4w/n4hi2O/E439qKevn7LkuLMYco8RRMq4EjuVfa3jzeCKjCzeMYSbUk+cePEX5yempqUCFfMnzvEG8TSn8TQXqwCs1DX3mnVRb9w1JyhCQrXnzhR3hns+SITmFy9sI2LZY+cPSThnFwX2PxecaC8Y9/80rIyITltqL5HZBcalXkunDtzyCl0Ci/v4MncCXQ0t0Aft5KX1WlHoHUOLvOgR9E0XvZ4ZfseFhRiRcDbRq4pHeGFEco8eeVlMJPft+9WxV7eGeptI7vME1jnp2eGthujb9LRXV2QODAAW+obYUOMQuCh+il39DbfWrwAUhITQhLO+anJkNfeDm29vfBPzm6rAJOgjBW4Jd9EiAdWr2PPX190dMjX51aWwTROH/9nT8BhVdcTN+Kf6wInksuOCi3zlEyshEo+h8QJgaz9xI1UucwTN+KJDVstVszuh1c8sZIxKE4mKEgfd/NhfLLZPyrznD97eogJHyacU2qd058MLfMUu5KgLJsxFdJt95KdJneivOPW1PHBXWinTZkAE3KyQlqprfIOv+ZOoOWwO3vRS7zd+IQJFcwoc7jyzmPrnAvass33CH9duxH2t7Sxcta3Fy+wvo6jNuZXBfbZf3y8Cdp7Y2esnYJJUBSaU0NAKhFN22YU5lseGhjY/ru7AxIGBuDdunpGqTsBN1xW7YJDtALHdZ5ks2G+MDEekvv6oKGn15oN4sSJm7xtZJ/QXt25lzlXVuZkwaU2Lcrp+TmQhi30fX0xt6O66bJKQAoZB18WZqTD909ebH39xCkTWdmj2++Htx1KrENbquVeT/S3QcEkalAeOP9s6+vHTJvMNGI+P8BLXBztBKwp1RI1CzSFeeW+GlbOevjz51pJ59ypk1l5BwvMTpR33GYW0MLg4U82se6sv174acv5edb0KVB56FBI56HOh8JOnw9ue3M5+/j7Jx9vdVDOmzUdJnOG808ffgwqwSQoY2zyqLROy86WeU1YBvvo+gC7cNeZJ8Pswnz4ynHHwOTWVvAlJMC3//2aY7/LDZdV+zrJQ+PpL1wAp0yeAJcdMw9OPRA4nd327gcx+7yosDGg4Owva9azj//yuXPggiNmsBbr/6oNJCWPbdvtqGujVeOWfOLGjpUfv/ke+/j/nXYiXLXwSDZz6abEwEV8r6HZkbKH29cT78mrnn4JfP39cOmRR8DNS49j79EfFwT2ibWdXUzw7hTc6LQjfOnpl5jzM2rF7jxzKVRmZ8EPpgRsEDb5+h0r77iZWCNueOlNqGpuhekFefCrZadBQXoa3DxnOguQuyAu6gGeo89XkptwIh5ev4lNWs9JTYEfn3YCE7R/fd5Mts4tCUksKVUJJkEZAVjfJtFWbhiTPZ3GH1atZaprbDf++Jovwf+cfQr7+rtTpsJWB0/bIS24pXKpcsRNr7zNDOfQQ+PF//48PHDeWezrqyZNhgeXf+jo7woGbvnr/OEb77LaLrZWP3rxefCvL1wACX4/bC+vgBuffcXR32VR5ZJP3Ij/XbMBfvZOwM/o9+eeBa9/6VLIHBiA2rw8uOWdVY7+LjfMvQjIYF7/0pvs4ztOXworvv5FKPMPQHtqGvyCly6dglsCbwQyRV/j9+d3TzwW1n37y3BkfBz0xcfDX6qcHTniZrkZLQEw6cTOpasWHgXbb/ganJaWwr73ZH2zs7/LxfvW7we4+dV32MffWDQfmn94PVycH2hSeL41+hlDomASFEUDGmaySx54GJ7dvB0S4uMhLTER6nJz4RUB3V9uuBvaXQ6X/f1frIUPJ26mJCTArrJyeCrZeY8ANzdAZBe+/PTLjEpOTAhczz2lpfB4eQVzSnYSbrjJ2vGTt96Hv67dwO7b9OQkqCougWeXngzbdwQ0DU6BzL1kl+wID320Hv704SesNIBupPsKCuCx00+HFRudTVBaXUw4Ec9t3Qm/W7mGfYxlreqsLHjsjDPghXWbHP09bpjSDS5R/nrFamudNSmp8MxJS+FxB3U2bu9DiHf3VsPTm7az+xYPTJ1xcbC9shJecaDrzGkkuv0HqC6UrZwzS7pHCAHnW1zy+PPMi+CGL1wEncuWQd3r/3H89zS7mIghkPb/4pMvMBOkpUuOherPHguHX3vL8d/TwvUsOS4wRdTp8tVnX2Gn0tnzjoDD518AtSsDG6KXNkDEt/79Gpv8mlFYAAMXfA4a6g5Bb1e3o7/DLc2CHd95+S3WUtydnAy5P7sdent90OSwTbgK67z19Xego7cXDvX0wrQ//hb8cXFweK9zeiI3TensuO2t5UwvhrqUeQ/cB8kZ6XAohkGlqpV4CF9+5iX4/aq1sLe5Bb74yF+YUVvtn/4OqsEwKGG1proT0AgYuF/ML4C29Aw45KDIUKWAhtTjvSs+gseycqEvMdHxzc++TrcSTkpS7vzPCng0KQX6ExKgfl/sbsCqmJgNZox+8Pq78EiXDwbi4x3f5ENKPC6duBGoHcJ1/qu1E/zx8XC4ah9rDfZKiYeAIxhue+t9eL65nSUnrfUNlnbNKdhN6dD3xa11/uK9VfBiXQNLTvp9fVBf7YylA6GNz/WROUV+OP8XZIwOdHRBXkWgc0nEXhQrTIISxsbgZkAjFE8OmOvgBug03PJCGW041+Gqak91Zg0GeqAIu54udbcMh6IpgXUKSVBcmt8yHIr5EDaRiVh6TjYkpgR0EV5cZ0dTM/RxU8asQrneNiOtE5MTnPruJNCUDhM8t3R/g/dbTAa72zus95NKMAmKguZeo02bFMIsKHBCG7zOegEJihuDEce+ns6v09JmFBVBnN14xcWNXsR9S9qMlPQ0NtfIq4G7u60dejq7lHiPWuvc7Yw/kYplHkTJ1MnsuU7QOptrA2XA3NIScBMl06YIXWesMAmKBsxCZkEeGy41MDAA9dXOKudVSsTQh4UEcoeFlD74ibuwUOpck8HA343276IYlNaGBnavJCQlQka+OxTyYOZPROD2dfdAZ2ur62Ue0QlKaOeHt9fptlBW1jqbDyqSoEylRMwZo0inYRIUxSbgjlYOaDpQC30CBiq66bI6HKuA7d14anQaaBnO5pokyZ1rMhhI6yalpLBWdqcFlQikpNsbmywWxS0gdUyJWJ2ogOaS54tbgVsZBkV4IubyOnngFsUUWUNaXS7xlAheZ6wwCUoYgdsNl9XBU4wR9QJO2267rNqB1tKiygEITE7cmmsyXMKJbJjTgkqVOj8wOWH17Y4O673kpRZ5+5BASnhFMGKqrBNntpBGTBizoMihUDiDokqJZ2ogQal1aKSI0zAJyijAtkiikN18wxRP4VmuoMCtygkNhyEi6vc5q5pXxZRuyDoFBbMQHYqLzIJI/clgAWm2i0xRES9jNR446HgrtQqeTIT8ynLWeYJ6GAqwokofeYMmf8sEltOzuUhXdCKW52KCEhcfb+1FhkHRFCpsDCXTA0Km2l3i6oQqrNMSjlZ5OxErnFgpTCCrUguu6FNoSKediwmnlYgJXGfTwcD04Nwy9wJaiS3h9Ds5g8KGpgMHXV8nXU9MInD4pghQgueWJxMiv6KclZpRy4XJtYowDIoGlGPZ9MAY8FoHB5CpGbjFlnhUET7TqUWEEHjoBFz31ymS+VMhcFNAE6WzQTQpwCxYCedeCessdW+dJVPE6zJonbjfuiXYLyH9yd4qYaXmWGESFMXdR1H/QnXK2l27PbvOkJOogBZjt0fXD88UiVunRZUrELhFMigoHKeR8Z5eJ582m+/qOicLXycxC1lFBa6Ztcm4nmjWhiZwuEa3PF9KpoltpXYCJkFR3DujdNpUi8kR0dmiCoOCSVhaViZ704pkUIKB252NHo228ssDzo0i10mUbR7/Xd4N3LXqMAsSEjF0HsUJ626geKr4dWL3GZYc4uPjXTssUQePyMCNjAUN9XSrPFkiYZ2xwiQoYc6pcavEQ/qTup3i2BP7ycUt0VbZjGkW3YhOi+IDtzsBrWTqJNYNgZ1TZHktspaPDIobZm14KkzPzmadUyJFz0SVp2ZkQFp2NsgGtuUXVJYLD9zo9NnFDyhudX5YpSzBAc1KOl1ep8jraWet3TosFXNGrE6gtjFWmARFcc1CKdefHBScoFiBm89lkI2ymYEEpXbHLqG/p7HmoMUUYaIgG2UzprPng9udnew7HCOGyUFicjJkFuSDWwknJicivHsI+H+jbw4i34WkE3U2eB9h8iAy4Qxli8pcMYtkCSeaRQosTYa04LoQuPH9Qgmn6ETMWqdbh9+panugIEyCorhIlhKUWtEJSk1g88P2OjfmfViJmEAhMKK9oZF5vmDt142yHQXug4ITMTRro3s334WkU9Y6Q3QoLiQo5TyxFp1whuptSlwrNTfWHGAGgyLhpiAYO+ykJZwueqHklBQxfSMbhiiQ4YwVJkEJk0HBQV1u1H6DCYpYGq6rtZXRyG6dRGUFNGyPJB0KaUHcYIqkBG46cbtwEi2bGWCKDsgI3AqsU8b1tMqwLqyzfNYM9nxgm/jr2exiiYf2IRnW7266yZZMnWINQxRZUo8VJkEJp/bLx4rLplbRoZIMg2TUCfF05MaJOz4xwRKm1e4Uv9FTOcvzzAJnxdxYZzkFbpnMQrnHEzEXPUKsxFpqwil/neWzpstLxFxkUEo0EMgiTIISBhr2BwJ3QWVgrogslHD2BH9/b1dgmqlIuNX5gdbv6FCJlugUbLy4TpZwcuO0OsGMmJvMAlLk1MIoJ6AddI9ZkKQpcr+UJY9BoRKPGxoUK+HctkP47wpqbUpc7FTaAyrDJChhoGF/jSsn0VI+Clu0/mSwgFT2Oi0jup27hTlUqsAslJJwtHq/MIfKYTt5JAc09HlBsaGshNOtwI0JJ+mYRJooDtYsuJFwlvJuQjkJp4ulLJ6IHZTCoARKPMiSyx7SWs4TMRkHpVhgEpQIArdsBoX0J3UCDdqG2+jRAlkmSiXqMkIYFMkbIJV3RHcqERqtwC054eSbHwZtGQmntU7J11N+wlnrSgcadipRwkllYBm6P9T8YRLoRsIpYy/qaGpmni8ImYL9uPh46z1as3U7qAyToETAoFD7mddajIdoUGQHNCtwS0rEeMIpPXBb+hNZCae7iZgMXYa9lIUThWUK2YM6GzkJJ3aV9Pl8rAONSoWy1ykj4cQuoVY+S0pm+YOEwNjVIiPhdMt/qmjSBEhJT2NDH0W6WTsBk6CEgUauQcFpnq4wKJJoOGKKZFPlwRZjScwCzW8pLZZ6EpXZ8WGnynEzknkSDTIoctaJDstumJgFO1vE6xWsDjQKaBLfoyQclVHeGVrmkXeIKLMEsnKup13fSANEZd63B3fsVHYGD8EkKBFpUOQlKFkF+SyooNmWyCFkw5U+8HfLOokmp6VB4YRKqVqbtsP11klUlrU/urnKrOMj+n0+a4SBTLaIOj5kMSiIYOCWv06pgdsFL5SgcNSF6ymTQSEhsMTrWc8HhspMUCqOmMmeD2yVl4hFC5OghLkpoIMinkTRUVHmpiDaiXPwSbSztVXqRk9Bu7W+gdVkZZ1ErY1eklAWk9uU9HRmEifTGEn2rBo0f6ISoSymyA2hLBOOcvOyA5JKPKGdWWXyhaNSGRT5U6rdYIqoxEKT3GWggjMoqutPECZBCQNoZEPCLVlC2co5s9nz/i3bQCasDhdpCYpc4ehgfYasddJpu27XXsaKyQLpbaStk+tPMMCIHG7pdks1nniTUlNYHb+RM6wyQCaDsgK3bOHoEMG+pPsW2dQS3jUps8SDAmtEIZ9wLgPlswMMSo1hULwDqhXKKvNMmMsTlE1bQSZkm5jJNC5zU29T6tI6ZTMols5GIqsQmnDKXScm1jKEo4MDd4Gs9ycxuZI6lQaXPrCDSNakZvRiQi0T7Q0yQHONqMwtGtlFhayEj4ck2XtRNDAMSoRCWVmdPJU8QaneLDlBsdxk5ayzYs5M6bRqSCImmVmQzRTRjCVpCYrkDh63Wqotnc0Oues8TJqFSRM9Z3Fvx+G9QW0GtsV6sYxF+xAy9Kj5y5agh6vg7AlOapYlHYgFJkGJuNVYfIkH2yUxcKLupUZyiUcms4B1/MojAolY1fpNIBOyTcyIEauRSB/bXVZlJZwU0GQnYnQSLZZ04g46yMpdJwYWum9lDPV0QwhMgRvbjZNSUqQIZWWOLBg81JNYsSIJQtny2froTxAmQVFwTk3lnFns+fDefdDTIY9WDaHKJawT7dBReIzzjnCtMiHTlC4jL5cltphwVm/cDDJBglykkLGTSPRMJTqhyd4AD1fts15rGS3V1JIqO3CjkLyzpRXi4+OhaFKlpyzu7cD2V7p3iyZPkjiDR35ni8WKSUhQKmbr08GDMAlKpBoUCSWeyrlHsOfqTVtANhosu3vx65w4bw57rt64RWodH1FfHWDE8HSGLpky1omnX5oYLZMRw5MoUsii2SIs76BwFDvBZCecvV3dVtmueIrYgJZVWGBjOOWfRIlFER24UTgquzXejkP8HkJjMa+WshANdIiQsM4Klw4Q0cIkKBGWeNAICt+4XhTI2rU2eApNy84W+rsmHBkI3PskswrkyomBFMtMRZPFbgwTj5rLnvdtkFvGQqAYjloZaUCYKEw8MrDO6g2bpSeciMM8cItOUCbx64m+PTKFo4RDe+WsE/0yMHlH1ob2P5mgJFf0OrFLCYWjqAWRMU19xFZjwULZ1MwMi6UxCYrH0N7QxFoKkVoVfRKdMIcYFPkJCk5NppNoKZ9IK5pZ2LdBfoJCLb+IkqmBU6IoTDrS5XXykeolU8Rez0lHzXNFT0So202Be7KUBKVq/UZwA8SgiNbbTDr6SFev52GeiInu5Jk8/yhLf0KzcWTCMmsTzKCUc5YIO/uwTKgDhDMot9xyCztN3XvvvdbXUlJS4P7774f6+npoa2uDJ598EoqLi0F1yOhwwTYwzOjx5Htg23Z3Axq3oBcBLAWQxb0bDAqibldghECJYGbBYopcYFAQh+h6TpUUuN1apyQGZSJPxPatcytwy2EW6HruXbcB3ACVeEQnYpMpEVvnTsIpSydWoVl5R3iCsmjRIvjGN74B69atC/k6JivnnXceXHzxxXDKKadAeXk5PP3006A6iOYUmdGTQRsmCVhXdwM0+6eUGxeJQMXsWaxU1lJ3GFq5HbtriZjAdeKpKD07m53M3PIdoHWKLPGkZWdZAXOfSyfuQ3v2Cg/cWBKcwDVirgVuS4MimkGZ52rgpkQMy+oiR2/QOvd+4s71tLcaZwkcAjmJr9MNZl65BCUjIwMeeeQR+NrXvgZNTU3W17Ozs+ErX/kKfOc734G3334b1q5dC1/+8pfhxBNPhMWLF4PKqKXALZBZIP2JGwJZQu2u3cID90QX9ScyGZRJXJeBjsDYUuhqIiZwnVSuw3q6W/QxBW7sQBMlfEYhMHaedbW2SRcCExqqa1hAS83IEOadgUwuEwL397tWmsT7iMZfiLKCx1btyiMCXZNVLiWcslqNpy6Yz573rPkEYLwnKL///e/hxRdfhDfffDPk6wsXLoTk5GR44403rK9t27YNqqqqYMmSJcP+X/jzWVlZIQ83QEp2MqMSadDmhkB2SCImMkGZFziFurX52ROUokkTWYus0ETMpbIHJQ3YcZKeky1slhSVA9xcZ1tDI0sckOUQVc+3C57dEAIjMDkhMbuo8gedtpH1Q12aWxBd5pkwZxYkJCVC6+F6qQ6yIxvwiblv88pLmXSg39fn6qFQiQTl0ksvhQULFsCtt9465HulpaXQ09MDLS0tIV+vq6tj3xsO+P+0trZaj5oa+YpyBFH0mKCIqhUSfewmg0KaBTxFierkIV2Gm+tsrjsE3R0dbIMSpaCnzhY3EzF0jCR/G1FCWQrcbgkqZelQ3BYCyyrzuK3LIBBLVSToek6eH1jnXpfXaVneC2JQpnL2ZP/mra4IgZVJUCorK+G3v/0tXH755SwRcQJ33303Kw3Ro6JCzsC+4cyg0FMC27VEdPLgoDNqd5M5IXUwsHXS6uThPghOAluYKSFwM0FBHOKdHyLKWVhmIOdGN5kFGToUKxFzOXDXCdahuN3BM4RZELVO0mW4HLitlmpRiRhPUKpc0p8MEcoKKmVNWXA0e969NlQPOu4SFCzhlJSUMG2Jz+djj1NPPRWuu+469jEyJdjFk5MT6vaI/6a2NlCHG4ze3l7W7WN/uFUrpI1eRJln+nELrKDt9pwEKn/QSHknMYGXd5hxmcSJt8OhbvceYQkKulPiADIsPbhJH4ckYgISFDz1YdLp6+lxxYlzOGahREDgxhIZJQRV692lyYOtxs6vE8Xr5Gbtli5jMIMiqvRBrdRuCWSHtBoLYlCmHBNopd7z8ThPUFBzMm/ePJg/f771WL16NRPM4scfffQRSzjOOOMM69/MnDkTJk2aBCtXrgTVYZV5+OwGJzH9uEXseeeqNeA2LI8QAV4oKpQ9hiRiAgK3ZVy20V2WKIRBERC4qbyDrqrI/ilR+hC4TvwdXa3u+kiQR4iI61k+eyabgdPe2GSd7N2C1VItIBHD8RPIWPf5fEzE7iZoOCK65jqth0vPybYaO/Z+vB50guOWqO3t7bBpUyjN29HRAQ0NDdbX//KXv8Cvf/1raGxsZJqS++67D1asWAGrVq0C1UHDwYQwKIsXsucdqz4Ct0GdPCIYlOnHBda55xP33yy1u8SVPqw2TZfLO6K9UCxdhgrrtDELqBNzUsga1J+4W/awl3hyy0qYp5CTuoLJdN+6XK6jkRTYSYRldRwxgA7QTmHS/HmWLgNL9257bKHAG9v1cc91komczI3oanftgY7mUO2n6nDF6v7GG2+EF154AZ566il49913WWnnwgsvBB0gikFBsVtuSTGjyd2u+9o7eUoc1qCkpKdbArztKz8Et0ElHjyJOjnWHYPjjMUBRmy3Am19pM1ATwm8Bk5iCt8A9ylw36JXEXYqYCtwjsMtuJb+xCWDNjuw/RaDDTpbO61bcNv/xI5+n88qjzqtQ1FFCIzARHr/5m0hVhNOYSrXn+hW3pGWoJx22mksKSGgePbb3/42FBQUQGZmJlx00UVMm6IDqNUYqTgnvRaIVcBaqNv6k5BOnsICRhE6hamLjmFdM0gdU6ukm0D/ATTEQ0rbSYdgFMcifYxdQm4L8BB4Omvlp08nywK4RpzZgti5ei24DdSJ1VcHyhLFU51bZ0JSkq3jw/3raS9/OK23CQpk1VgnlWHJqt0pWNdTgfcnonrzlpBhsU4LZPesdZ+xjhRmWGCEwH55dnJJSHBUn0Gn7Z0fuq8/GdzJ46SAdNYJxynDntBYd9ronZw9NOuE463r6bYuY3DS6WQ5a9aJx1vCbtQsqABLKOtgeXLqwvmMeWo5dNiVyb7DAWfHOB3QMHlFgzYseVQr4pdBpUNisJwAllKoTK8CY23XqjnJoCSiER3//wyDMk4QNGyb7lg5YPqxC5QRyIrs5Jm5JJCgbFuhRoIiqpNn1okBV+Rt76ujqyKhbLmD5cnZfJ1bl38AqgA1BU4HtNknHa/c9aSTPzEBTuCIpSew512r17o2amMwqARDM5CcwKwTFrNDJk6kdmvUxmCQ5QLKB5Cxc8oQEzsJcaSICox1pDAMSkw6FGeEsqUzpkFGXi5jLfZtUuPUEmrt70zgRv0DijRR9LZz9Rrl1knDtGIFnrRJl6FSQCPRo1MBDTU7M09QL0HZwzsVqLXSycC95b0VoAqoBRhbgrE12AkccXJgnZvfVWedyCygE3JBZTkrKTqBOaecyJ43v/s+qAIsN6O2CBMKp5owpi46Rlv2BGESFAUs7+1iSrfmtYy2TnK3dYo9wfZit/1P7KBuIqrVOuFnQzobGjCpAmiTQsoXqV8n/GzQ/wT1LW4b0dmBpQksq2FCjI9YgbN9MLHG/1OV0iQC7y8sq6F+inRAsQA7ZchxdItCCQoe3JDpsOtjYgEyJ5Rwbv7PclAJNMjPqT137qknseftH6wGHWESFAU6eUggu+MD99uL7di99hMroCWnpcX8/81ccix7VmmTp4QJa+7Y9VHggOU96TK2rVCHPUEgxYsaCjyh0YygWDCbrxM3P2TFVAGWJmikvBMsyuyTllglle72DlAJVP6gVtJYDxCYWKOGR6XE2t7a7UTZDpMcFP6jllCFVurhhLJO6FByS4rZEE9knzb95z3QESZBiQKYzeOGjB0ueBPEdAESEmAap+FUEcjaKceG/QcYfRzrRo86m5nHH6uc/gSBXVNkGjdtYeAEGWt9G7HtfXXKHoQ93OrakcDNE5St76lnsLj3Y+f0GSqWdwjUaeMEsxAs76hT9iDs463d5PzqRHln6/KVSiXW9iGxJGyNBfPOONliTtsb1BCwRwqToER5QiPF9QzOCsTiNorUKo4Wd9smfDjs+ijQOjqNi3ijBVLQqLPBE+i+jWqdWuxeJVMXzY/ZnRLtqtGLY+eH7rfdjlTmibWchSdQGvi4VTGmyB64Y2UW0EqAGE4MaKqBOlBiTcTwAGElYgqVdwYzKFj6wENdLJhzMtefvKNeIkZCWXR+TYyxDHvkGaey541vvgu6wiQoUYJqeqSriBYLPnO2dTpza3z7aNi1+mP2PO3YAMsTLWYuCbAKOz/8SCmdzZAEJUYGhbp3UNeCtXPVsHvNOsukKhZjOrzv0SQMW11V6YIYTiiL85BiMaZDdjM5LZVNviYXaZVg6W1KimNicyvnzA749rR3WCybSgiMF2hj1yIW7V9+ZTkL/viabVWQ4cRuG7SyQNa6fFb0EgLUhtFetuHN/4CuMAlKlCAdBZYt8PQRDfAmnL/sTPbxmn+/AiqCGBQ8ucSiQ5nD6ePtK9UUa6G+AOleZEBi2ehVbC8erJ/qamuHtKzMmDZ60mVsU6h7xw5MmtCBFE/bNEMnGsxeukTZ8g4CLe6JeY2FRaHyDu5rqvj22IGHNxJix1LOIvYEkzCVhPrDCWUn8qGq0WDOqSexex/nY2GpXleYBCUGcRq6hGbm50XtcIibH2a6mDGrMH9nLB1KtBsg2vhjSQETgA1vqUk3IttBA8OmRMmioPnTrCXq6k/ImI7KH9GWeZB5oURMxVMoYS91Z8USuHnZY+t76q6ThLKx6DMoQVGxvEMgQSvNRIqpvVjB8s7gMs/UhdGz1keefgp73vDWO6AzTIISJfCUQeUP6k6JFAvPXcae1770mnJiLSd1KIsv/Ky1+alYDnCqzLPovHPY4DYse1AXiYogCp9mdETDhqFAHD0bVCwHDC7zRJtYY5cejrTAabc7VqnJ/Dlh2IZD+LDbQ2WmyIlOHiz10R6mohCYQEni7JOOj0qHguucyR27N7xpEpRxC6vME4UOJTUr08rmVS3vEHZ/FEjEyO02EiDzsuiz57CPVz39POiwzmgTlOMvvoA9f/CvZ0FlBI3MoktQTrj0Iut6qlgOGLzOSVHqbU76wufZ88Y334GeDvX0RARixNBoMBq9zeILz7P+n7aGRlAVVes3s4McMrLR2AHMO+MU1mJ/uKraGm+hItAJGceMpKSnW07NkWDWScczbxxcZy23xNAVhkFxIEFBqjzSTPfos09nNxFqAlTs3rGDhsBFo0PBWiiK79B/Y4uC7ah27ObDtEqnTWGlu0iA9wD+u57OLljzgtoJJ/N98fkgp6QICidFNgkXAwOe7NBbYaXiiRjaAXS2tgYMyCJMOrFLacFnPsU+Xv7ov0BlYBkWRaToYXLUWYHOjUgOECf+VyDhXP7ok6AyulpbYQdvTqDmgkhwyhX/xZ5XP/siqA5iPo7knTiR4MgzTrESa91hEpQYgJtCc20dSzQipcsXnhco76z598ugOnADRMEhboBTF0a2zsUXBco7q597SekyFm2AlCySA2O4WMLZk09eeUM5M6/hfF92cc8dYrfCxQmXfs7yPsF7QmWg3mbdq2+xj4+74NyIWQXsGEGRITExKuOj5wP7yMLzIrueKNLPLipk3SPrXwu8VipjzYuvsecFnz47YrduZJjwALHiiWdAdWx4/W1rH4pkjAFeS0pQ1mvcvUMwCUqMoK6USMo8eeWlMG3hMewUivoTHUC16eM+F6CDwwHajJNp2YdP/xt0wJoXXg0p14R72j7qrNPYx6qzCoQP+PU47vxzw/aVQH0NBfr3H38KdMCHz77AnvH6pGSEV/7AchCVsVRnTwjE2mEgzisrDfvfnfzfAVbh/ceeUrpcR0BWAH2ocOpyJHbwp1z5Bfa8+rkX2UFEdaC/TWt9AxPekw9PODjty19kB2bUhu1TzCU3GpgEJUZQt8Yxnz4r7EyXTjm7PlzLTi46YMXjT7PneaefHHYb7nGfO5d5ZaCFv2rW2SNh9bMvMNt7FA2iN0Q4WHT+p9mmsH/zNmVG1I+FTW+9y/QGWOahluFwTtuYjOG1VLWNejBwk8YpzsiGUEv/WMBTK87fQRHw2pdfBx2ATC51Ai44N1CaCqcsiYMGsVX5gyf1SKyx227T24FOQCrBjQWco4TdWHggfPcfj4MOQPZvI5V5wizbodiZmNzX/vQX8AJMghIjsG0WkwwM2uHQ5ZkFecFa6PMvgS7Aej5ugJiELbn0wrBOoZig6CCOtQPnc6zjVPcJYawTseTzgU1hpSabPAJPy1QWOJ6X4cYCvR4rn3iGbaC64MNnXoiozHPSFy5mzx889Twrh+kCup7YTRYJe/LRv19m970uIJZz/jlnhsX+nXJFgD3Z+Na70FC9H3TB+jcCJZp5p50clsj7tKu+yFhO7OpS1W8qUpgEJUb0+3zwn789yj4+/StXjPmGOf9710N6djZUb94KH2tS3iGQiA4DGlqAjwbM5JFqxo1Pt1a3FY8HatTHnHMW67YaDXgyQ7oZPXE+5vVxXfDhM/+2PDCyi4tG/dkJ8+YwVsnX02MFfF2AOi9MyLANF6/VaCiZNgVmHL+I6aWINdQFG974D9NY4BrHGgaJjqrIhiLee1gPVoGwbeUqNsUZW91pEvxIQIE+6f3e+ds/QSfs+mgtG4GCaxiL5cSfOeHigD7s1T88BF6BSVAcANKjSAfjDBbszhkJ6JeCtCRufk/e/gvlRaODsfmd5az9DTtcjjnnzFEp1c/edB37+LU//oWVTHQCGnyhlwmWBUY7jeKmcMkdP2Afr3r630pa248l8t615mOWVB93wWdG/Dk8lV182y3sYxSd6nTaRmApayt3vD12lHWiI/Rnrv+mddrGsolOwPuPbM3H0oqhVgHLr1iixhKYTsBRGcRyLrkkEJRHwomXfZ4dptDMjoz7dFrnh/wwcMEtN4zaKWqxJ+uQPVFrGGssMAmKA0DR1rv8FHLG164c1voe3yQX/vB7liANe911g/1UeeJlARp8MBKSkuDyX9zO3ixblq/URmQ4GFjGQGAL5nAbA1Kul//8dnaKw1bxl3/3J9ARq5583irfYMI1HC6+7fusAwID/Uu/+yPoCNrocZ04i2U4LLv2GzD3tKUsoX7jz/8HOoJaaLELaSQDSRSAn8ADO7G/uuGDJ59jrBh2rIyUdGI7/Olf/m/28X/+rhd7Qnjtj39hiTIefs/6xpdH7NxZwtmT1/74v+AlmATFIWDSge2lON/k2GFq3Zi4oCsl6lVevu8B0BWrnnqeieomzJkNF/345iHJ2Kevu5oFM6RgH//RXaArsCsC6VWky6/89U+HCKDP+vqXWCkAKfW/f/eH7DXREetef5uZVuUUF8FX/vA/Q4y+ll5+CXM8xmDw95t+pI2oezA2/ec9pqFKzciAq+67h03WtgPXeObXrmQfP37bz1h7sY7Y+eEaxuYhK/bFX9wxpKPniJNPhIt+eJMV/HTVKqAdwKu/D5QyLvzBTYy1tWPKMUfBlb++m1kjYCmd2nZ1Q09nJzz9s/9hH5/2pcuHJNeYuHzrr39gbC+OAlB1xEa0MAmKQ8BJm+89+gT7+NI7fgAXfP9Gxibg8LnP/eC7cMZXrmDfe+bnv1balXIsYND+1x2/YIp4PIVdeucPGZuACnI8nZ76pcvYzz3+/36mtCvlWMBr9L/X3czYMRwwhqwQbvrY9ofalLO++RX2c0/ddQ8rlegKFIH++VvfZdcKk84r/uenEJ+YwDY81Necd9O17Of+/av7LKddHYGiXkwk6/fth4LKcrjy1z9jSSeuFU3cLrn9VvZzbzz4f7CWizB1xdM//RWb54JJ2BW//ilrr8aDBOqI/vueO9l9jIyS7lqFt/7yd9i2YhW7V/G+RSYB14mz0b5y/6/Y19HS/tEf3qHkpPhwsent95iOD5Ot/7rrRyz5wj0Xu7Cue+QhdvDFeWn//OEd4DXg8Ve7K5eVlQWtra2QnZ0NbW1toApws/v0tVezeiCi6WAtO5mScHbti6/CI9//CXgBGKS/8LP/xzZ5DG728gCySbhJegFIk+NmhyU6dCVFgTMBT6pP3PYz8AIweH3zL/dDSnoaS8pwcyd46b5FRgw3dZzmjEk26jDsXRN//84PtA5mBGRObnzi/9gw0sFAPc5frr2JaRx0B3ZFfvdff2fJCQKZPrx+aGmP+qo/X32jtuymHWgHcPNz/2QMIAL3XLyHmb5m/Sb43+u+B+0NTeC1+G0SFAHAk+cXfvpji0ZGk7P//N+jjH71ErD++8V77mSbAW72OCAPB129+ee/aSeMHcsXg+hiBDqoohDt2V/c64nNz37ffvm3v7DWifTythUfwqO3/sRT65x14vFwxa/uYhb4BLyef73+FpaceQXY4YLMn/3wgAZef/7md7QTdI8GZBT+66c/hkLbfJ59GzfDA1+7TnlX50hQOWcWLP3ipWyGGx2U1r/+Njz6g9u1en+aBEUBYNvmgnPOYuPo0UPEq0A6FVkiVI9jmcurwJN3ek4O1O7c5alNb7iTNwqccXaSzqXIsYAzpTBBwbZpX0+vVn4nkQBLAcmpqZCYksxKzipPE3eCwc7My2PMApZdvcCEjbTOaYsWQEZONutm0m2dJkExMDAwMDAw0DpBMSJZAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA+WQCJpPRTQwMDAwMDDwXtxO1HmBNTU1bv8pBgYGBgYGBlHE8ba2tlF/Jg4A/KAhysvLx1xctC8aJj4VFRVC/n8D8zrLhLmfzevsJZj72RuvNf7fBw4c8CaDgghncbEAL4hJUMTDvM5yYF5n8zp7CeZ+1vu1Dvf/MyJZAwMDAwMDA+VgEhQDAwMDAwMD5WASlEHo6emBn/zkJ+zZQBzM6ywH5nU2r7OXYO7n8fVaayuSNTAwMDAwMPAuDINiYGBgYGBgoBxMgmJgYGBgYGCgHEyCYmBgYGBgYKAcTIJiYGBgYGBgoBxMgmJgYGBgYGCgHEyCYsO3vvUt2LNnD3R1dcEHH3wAxx57rHtXxiNYunQpPP/888wy2e/3w/nnnz/kZ26//XbmDNzZ2Qmvv/46TJ8+3ZW/VVd8//vfhw8//BBaW1uhrq4OnnnmGZg5c2bIz6SkpMD9998P9fX1zMXxySefhOLiYtf+Zl1x9dVXw7p166ClpYU9VqxYAcuWLbO+b15n53HLLbewvePee+81r7PDuO2229hra39s2bJFqfsZ24zH/eOSSy7xd3d3+7/0pS/5jzjiCP8DDzzgb2xs9BcVFY371yaW+2PZsmX+O++803/BBRf4Eeeff37I92+++WZ/U1OT/7Of/az/yCOP9D/77LP+Xbt2+VNSUszrHuZr/PLLL/uvvPJK/5w5c/xHHXWU/4UXXvDv3bvXn56ebv3MH/7wB39VVZX/tNNO8y9YsMC/YsUK//Lly81rHOH9fO655/rPOecc//Tp0/0zZszw33XXXf6enh722pvX2fk4smjRIv/u3bv9n3zyif/ee+819zM4+/redttt/g0bNvhLSkqsR0FBgUqvs0lO8DX44IMP/Pfdd5/1wsTFxfn379/vv+WWW8wm7tA9MlyCcuDAAf93v/td6/Ps7Gx/V1eX/9JLLzWve5Svc2FhIXutly5dar2mGEQvuugi62dmzZrFfmbx4sXmdY7xvm5oaPBfddVV5nV2OJZkZGT4t23b5j/jjDP8b7/9tpWgmPsZHE1QPv7442G/p8LrbEo8AJCUlAQLFy6EN954I0gr+f3s8yVLlkils8YTpkyZAmVlZSGvO5YpVq1aZV73GJCTk8OeGxsb2TPe28nJySGv87Zt26Cqqsq8zjEgPj4eLr30UsjIyICVK1ea19lh/P73v4cXX3wR3nzzzZCvm/vZWcyYMYOV4Hft2gUPP/wwTJgwQZnXWdtpxk6isLAQEhMTWf3eDvx89uzZrv1dXkdpaSl7Hu51p+8ZRIa4uDj4zW9+A8uXL4dNmzZZrzPaVaNmwrzOsWPevHksIUlNTYX29nb43Oc+x+r28+fPN6+zQ8DEb8GCBcPqAM397BzwMPilL32JJR54WERNynvvvcfucRVeZ5OgGBh47NSJm8tJJ53k9p/iWeBmjskIMlWf//zn4W9/+xuccsopbv9ZnkFlZSX89re/hbPOOsvMRBOMV155xfp4w4YNLGFBhuSSSy5hzSJuw5R4AJhCua+vD0pKSkJeHPy8trbWrWvjedBra153Z3DffffBueeeC6eddhqjbO2vM6rxqfRDMPd3dPD5fIwOX7t2LfzgBz9gXT3XX3+9eZ0dApYW8N7E1xdfa3yceuqpcN1117GP8QRv7mcxQLZk+/btrJNShX3DJCh8w1mzZg2cccYZIVQ5fo5UroEYYEv3wYMHQ173rKwsWLx4sXndo0hOsNRw+umnw969e0O+h/d2b29vyOuMbciTJk0yr7NDWhTcyM3r7AxQc4IsILJU9Fi9ejU88sgj7OOPPvrI3M+CgHqqadOmsX1ZlfvZqPgBWJsxdo9cccUV/tmzZ/v/9Kc/sTbj4uJi8/rEqMQ/+uij2QNxww03sI8nTJhgtRnj63zeeef5582b53/mmWdMm3GEr/Hvf/971qp98sknh7QLpqamhrQLYuvxqaeeytoF33//ffYw7//IXuuf/exnrDtq0qRJ7H7Fz/v7+/1nnnmmeZ0FxhJ7F4+5n8Gx1/Wee+5h+wbez0uWLPG/9tpr/kOHDrFOQEVeZ5Og0GtwzTXXsIuBfijYdnzccceZDTzG++OUU07xD4e//vWv1s/cfvvt/oMHD7IE8fXXX2f+Eua+DP81HgnojUI/g74y999/P2uJbW9v9z/11FMsiTGvc2T380MPPeTfs2cP2yPq6urY/UrJiXmd5SUo5n4GR17Xf/7zn/6amhp2P1dXV7PPp06dqszrHEdZioGBgYGBgYGBKjAaFAMDAwMDAwPlYBIUAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA+VgEhQDAwMDAwMD5WASFAMDAwMDAwPlYBIUAwMDAwMDA1AN/x8m+Hny6tARIQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "pysolve_ivp shape: (2, 173)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def diffeq(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "\n", "initial_conds = np.asarray((70, 64.), dtype=np.float64, order='C')\n", "# time_span = (0., 50.)\n", "time_span = (50., 0.)\n", "rtol = 1.0e-6\n", "atol = 1.0e-8\n", "\n", "t_eval = None\n", "# t_eval = np.linspace(0.0, 50.0, 30)\n", "# t_eval = np.linspace(50.0, 0.0, 30)\n", "\n", "\n", "result = \\\n", " solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, t_eval=t_eval)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"solve_ivp shape:\", result.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "ax.plot(result.t, result.y[0], c='C0')\n", "ax.plot(result.t, result.y[1], c='C3')\n", "ax.set(title='solve_ivp')\n", "plt.show()\n", "\n", "\n", "from CyRK import pysolve_ivp\n", "result_cy = \\\n", " pysolve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, t_eval=t_eval)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"pysolve_ivp shape:\", result_cy.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "ax.plot(result_cy.t, result_cy.y[0], c='C0')\n", "ax.plot(result_cy.t, result_cy.y[1], c='C3')\n", "ax.set(title='pysolve_ivp')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "eb5fb90a", "metadata": {}, "source": [ "## Backward Integration (with Dense)" ] }, { "cell_type": "code", "execution_count": 15, "id": "18eb011a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "solve_ivp shape: (2, 175)\n" ] }, { "data": { "image/png": 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aM1o8/qJs3xF/gVLLix/DBZsIFHMTgzK4B2ShDCIG5bCFQWEnD8MF4ALF5hbP6oqqHiOSpRZPndHiIQaFp6UydD5H94sWT8/QoKSi7d8ozIIYFJ6ZxXABuECxCbQIrK6oFvf5WZmQkZraIwoU2pVhjxvB9DFD53MUWc69pEHxeIFCWhO0VWNhxgwKw03gAsXm3VnpgYOBNo/HWRQKaaszWjwmg8K7M4bGGpQDwsVDBUqWSD72KuhcxDYspjszg8JwE7hAsQn9DQ0K9rexSOkJQlnanZFItvYwC/AYeiI5qRdkmyLZJqhoOCQi71OTkz1tiyetCbGbdM8aFIYbwAWKTaDgI3QI7Np/sEcIZWlQYKiLB8WznFTJ0DVIERmUto4OkX6MGJyd7XkGpcbYPNA9s5wMN4ALFNtDoJpg54H6HlGgBGzGwTkoOIiNkyoZOrZ3GppbRHGCCAhlvevkYQaF4WZwgWJzCJS1xeN1DUqoSLa9w2eyKSyUZegqkCX0hLA2Og9DGRQOamO4AVyg2PEm9uoF/YwdWt2RpkCLx+MaFNNmbIhkERwExdBZxH6gKVCgkJPHy1Zja4ososa4R+2NdQI7g6EjuECxAdYTHfvbpT2gxdM7JQUy0/w2amJNrAWKl4WHVmDeTUoSn0buCVJsNr+310yTzeoxDEpLezvUN/nfA2Y5GbqDV1Yb2zvU395ltHjw+8SseDVFthUXvOYW8/s1PcglMKO4ALb++Hr4y3lzVf8pjGhTZC0MSlkPZFAQNTyPh+EScIFip0DW6G8fammF6sbDntahhApkCbRT6wkMyolDB4v7yQV5qv8URrQpshYNyl5DJOvlsDaTQTGYTQSPpGC4BVyg2EgfW3dnXs9CCac/sS6EA3tAWNvo3AE9hi3yjEjWaG8gekJYm8mgWNqwnCbLcAu4QLF1dxZY/KjN41UdSqiDJ7TF0xMYlFFGgcKZEi5KkbUwKOUNjdDR4YP0lBRPFtQo3qe0ZyuDwmmyDLeACxSH+tted/JQSFvd4QgMSg9gFYhB6Z2aAn3T01T/OYwodGKYU0Robe+AqkOHPCuUxU1EUlKvoInjCGZQGG4BFyi2OgQsBQo5eTyqQTFj7i2v2Zom63UGBR1MVu0CjbRn6K0TszIo1rC2Eg/qUOiYRJcdZhQRmEFhuAVcoNg6xt3S4vF43D1Rx1aLcU8S4I3O8bMnhIEef71etBl7PayNjkk6Jwk8j4fhFnCBYmeLJ4hB8XaLh2zGoQVKYB5PHzGgzevtHQIzKO4ZRWGFl8Pa6JgkWzGB5/Ew3AIuUGxlUAKL3+6D/hZPVnqaKSj1EnJpjHuIzRiTdFF46PU47dEDmUFx6ygKK7wc1kYMilUg29OyihjuBhcoNqA/2Ywti19zW7tJH3uRRck1Fvx9Ru4JocPnM0V4Xna3dGJQuMXjilEU1jZssNXYgwyKUYCEFii1PNHYNcgx1tmeCi5QHLIZIyjyfrgHdSg5EUSyQQughy/ao3NzxP32ugOeZ4u8NIrCKmS3hrV5scVD1ulIUQDoPssyxlV4GfgacTSH23Du2JFQ+fOb4M7ZM6GnggsUW0Ogghc/EsrivBavgS7IoTZjqw6FdnBeZlCW7i7zfDHmlfZOozGKwgovx91HYlAOt7bCkdbWHnHcottu060/gEU/uALcOEoDcdnR46CnggsUh0KgvBzWhsPxiDIP3Z2J7xk7NK8uflic4UUPtTZf7C03v8dwl0DWajNGNsFrWjGTQbHM4emkQ/HYaw53kc/LyoBJBXmuY1EGGE7JifmDID/Lm2tpd+ACJdE3sFevsDHa1gLFa3H35ODBCzROb47MoGR4mj1BITSJLL36Wj01iiKkBUvTfasa/WFtgz0mlDUZlBCdmLUN68UEXSumFflZCDcyurnGOos4bfhQ6IngAsXB/ja1eIZ7rMVDgwJxDg+KYkNhBkF59KJN+pOt+/Z7/rV61WXXE4SyUTEoLrtoJ1KguK0YG2ARyM4ZyQUKw+b+9q799SaD4qVhZCSQRUtxOHh9ovEYw2KMBUrAseTthd5rOUXh2jyDPRTWhusNtW+6YlC8XlgfU5RvPnbbepRrbAQRp43gAoVhc38bQ6DaOzpEfzs/M9N7Mfdh9CeImkaij/t4usWzdV+dyaBkpKVCRqr3HRGuTpEN0470algbrkspyUkRdWLEoHi5sMbN48ic/q4tUAZYGBQsnscN9DO3PQnc4nFgDg8BGZU9hkbBS0JZGhQYsUAxvu+2BSH2AmU/NLa0QlNrmyt73D0vBqDntHio8EDWCIciRtSgePQcRUwtDLAnbmxn5Rqf4U5DKnBaD2zzcIHiUAZKqFB2uIeEskQ9hstACZ5o7L3FD6nzUTmBAsVKobutx92Tp417PU3WTJGNtInoAS6eacXBBYqbNkypyUnmhPRXNmwW96f3wDYPFygOL34U1jZ0gHeEslTZR2RQjAIFKUo80byEkuxs0bJraWs3P9uArdq7i72XNxFeDGsjBiV0UGBPGupJAtlqajm76LVSgmxHhw9e2bBFPD5pWImIeOhJ6FmvVnKLJ2iqsZcYlG4KFNTjtBm0std2aNTewQRZcjCZtmpmUFwzisLrYW3mJONu2rBeOz+tmGoUKB9s2+m6Yoymxe9vaoJVFZVirc3unQ7TjfC2ngIuUGyzMIbfnZV6MKzNnMNzJPzih9dtWhjdRKvGMiQQBbKd+/neXey9bTNuNIXOVmGiF1NkewqDgoUXJXh/uG2X69YiYlDqjjSJ9fTjHbvF16f3MB1KzAXK7Nmz4c0334SysjLw+Xxw/vnnR3zuX//6V/GcW2+9Nej7AwYMgGeffRYOHjwI+/fvhyeeeAIyXepy6c7CSAKnoR5kUOpCJhmH1aF4jFWwCmQ7OSJctAD2JJhBihHO0aa2NvN49UpYW6Q5PKEMCuoc0lOSwWuYatiLN9fsg+373TcvyyxQDvs/pwU7dvVIu3HMBQoWEmvXroUbb7yxy+ddcMEFcNxxx4lCJhTPPfccTJgwAebOnQvnnnsunHTSSfDYY4+BF3dnJJId0q+vSJ31UoESafGztj3ctGuJJaRti6VACaRyumcB7JGjKCKwnF508tB5F4lBOdjULHRUXm1Nkv5kZXmV+R64aS0KzZr6aLufQZk5uLBHDHiMu0B577334J577oHXX3894nOKiorg0UcfhSuvvBJajaFUhHHjxsHZZ58N3//+92H58uWwePFiuPnmm+Hb3/42FBYWgtf62xUNh8RCkJqc7BmXQGh1Hw5mEFSWNxmUbcyguAK4J8hO71on5sWwNmo3hkuRJdAGw4utyWkGg7KyvNKVWUWBFs8Rc6OLaw5eR1As21NguwalV69e8Mwzz8DDDz8MGzdu7PTzWbNmibbOypUrze8tWLAAOjo6YObM8GOl09LSoG/fvkE3tzgEUEhZerDeM0JZZIFIwBVJgxIsHPXO4oeOpGFGX9va4nFjPx9Hub971SUwwkPaqHDol54OSUm9umQ5vRjWRqxIuBTZTpsIDzIoUy0MCmYV0fRmt7AoZhv9SOCY/WhHaY9r89heoNx5553Q1tYGf/rTn8L+vKCgAKqrq4O+197eDnV1deJn4XDXXXdBfX29eQvXNlKFwKDAyIuf6eTxwMUAZw/Rgr+vCw2KFycajxjQH5KTkqChuQUqjQFzbnVE/M+MKWK+x0NnngJeBoleD7W0hg0s82qLh1gR0keFQ0A75Z7jNhrg5F9kwjDFe22l/1pT7bLXSsdtnWWNXbi9tMcJZW0tUKZOnSoEsddcc42dvxYefPBByM7ONm/FxcWgXX+7C/rYdPJ4gEGhizD2sENnD3l9orE14t4KNzIo9Dmef9RoOCYkcdOToyi6OD+9GNZGrAixJOHg1TTZqYX+je7m2jpRmLrxHA0MZG0yv/fJrj0iF2V83kAo7OtOU4nSAgUdPnl5ebB7926hPcHbsGHD4P/+7/9g506/F72yslI8x4rk5GTIyckRPwuHlpYWaGhoCLrp0u4IMCiRBXgklPUCg5LTTQYKwW0LQrwOHrc6IohCRvzqtBPA6zlFkYIUvdjiyU5PgzTjOIyKQXER8xdLgiy2d9y6YaJxInWWdRaL7FUV/tc0p4e0eWwtUFB7MmnSJJgyZYp5w3YM6lHOPPNM8ZylS5cKmzGyLYTTTjsNkpKSYNmyZeAm9DPYk+52aIGwtmzvZKB0U6DQguCmtke8BYobHRHWAuXsMSOEO6AnzuHpJJL1QIFCF2GcsI4W6p7GoAQcPIENrzl13CWv1ZqDYsXC7T3LbhyXzXjy5Mnihhg+fLh4XFJSInQkGzZsCLohi4LMyJYt/rjeTZs2wbvvvguPP/44zJgxA44//niYP38+vPDCC1BRUQFuArV3cCHoqt2xi+LuPdDiyTUuwJHm8BC8GNRGFuOttcEFStA8Hhf0uJHloTkfrxox2r867UTw9iiKyAyntUDJSk8L2ni4EbQpiDSHx+sMCmWgrCyrdC+DEsGIsLCHCWVjLlCmT58Oa9asETfEvHnzxONf//rXUf8OtB9jobJw4UJ45513YNGiRXD99deD2xCNQNbKoODuzO2zaXLNScaRe9vWBQHjmd3S9oiWQbFmoHQSBbuAQaH+No4juPODTwT7g4JZL9oXSWzYHYNyuLXVpNPdzqLQRTjSHB4C/dxLDEpR3ywo7Jslju11VTXm9wNZKH1cxaDsDzlul+4ph8MtrVCUnQXjB+WC15ES6z/49NNPhZU4WiDDEgq0GWOR4nbQQXQggsXYerHGgwp9+CXZfWGHUbC4ew5P1ws+tT2wF44XberxuxUYjoSLAmJbXWQGxQ0uAbPIPHJEDDz8x6p18MNjjxFalNP++QJ4CcRydreJQOAxihorFMpuqK4F1zt4umNQDnuPQSH25OuafXCktc2Vyda9U1LEtSJcK725rR0W7d4LZ4waDqeNHAoba/aBl+Hu7bzmKbJW0ORbtwtlA/78rhe/4Iu2/otCdxhlsCdVjYdE8RWJQXHDbjR0VMFDny2DptY2OHHoYM9ZGPtHuYmwTjV2u9XYdPD0QAYlnP4E4aY0Wdr4trV3QH1zS6efk924JwhluUBxcA6PFTs94uQhkWxXMfehi4IbWIXuMCaCQDa0GHPDAkgtHhJJljc0wt+/XONJLUosmwjKQilxeZosFRzRMijYBktJSvKW/sTi4LHqbQa6iOGsi3BdocC2k4eVeOZziwRvvzpJFsauLMZey0IxZ0R00+KxLgpuuGhHLZCNUKCYDIoL6PJcY5G2LoAPf75cZEYcO7gQzhkzAryC7kZReDGsjVo23TEoyIJimJlbjtuewqAMMDNQjoT9OWprqhsPC0G3V913BC5QbNidRap0w1uN3V2g0ELWnc04qO/rgkUhXouxG9tZ9BlaWTDUSf1l2SrxGLUoHplr2e0oCiv2Hmz0RFibyaB0kYGC8PkCWjIvsJzIfOVlZUBrezustwhkrednekqKyIlxA0tdF+G6gp/bxzuNNo/HWrKh4AJFUovHK3H3pv0tmgLFRW2PqAuU2uAUWTcyKJE+w/9bvALqm5phSmE+XDBuNHgB0TrtEHvr673h4jEL0K4ZFOtz3CAejZY9+aqqVohJrUDBLMZBuGETMSBMSFsoyG7sdR0KFyiS+tuBLBR3h7VZHSDdIaCc1/+inTCD4iK2KBILhju2P33hH+L5/049QSQlux3RjKIIzUJxe4snwKB0X6B4aR4P6U8obTUUbslCCRdzH0koO6O4UHtGKBFwgSKpv01x9+jRRxuZG4EnAo77jsZmHLz46b0gdAf8+3EnjnMwtu8/EPY5ZlKlC4oxcvGEEzr/celKkb0wIX8gXDpxLLgZWF/1j0Mki0FtFGTnbgal+02El9JkAwLZSlefo+Ti2dfFdWXPwQbB5qYkJ3kyv4jABYqk/jYu+mRPdWvkPV3YUEzZVYS2G4Vp0bAnpQfrO1HHobszLGR0D+ML2Iw7X8DwGJ23ZIV4fM8px0OyMbnajchOD0zejuYcbWxpNTcbbm3zZKSmmhkaMTEoHmrxrCyr6tpVmJXhCiPC/m5Y6gU7vK9D0Xsl9VB/2+rkcWvkfSCkrfudmdvaHvFMMbYCh9FhboEbWlpdMSiI+V+sEg6Q0QNz4IpJ48HtGwgMSWxpD19YhoICBd0qlKVWDebaYMEVPYOi9zHbHdB8gMd1c1tbxJC9apdsmEwG5XDX15WPekAeChcokvrbXhDKBnqjsRUoui8IiWagkLI+QCFnuHrgI17YHl60XDz+5cmztGeEumvBRruB8EJYG4ldSaDeUxiUaUZ7Z31VbcRi1Aym0/y1Roq5D8Unu/YIm/i4QbmuLai7gztXHg2AAsIAg9I9fWwVyrq3xRN9SJt1x5KZliqoZ68KZN20G01LThbzkbrrcf9txRqoaGiEETn94epjJoKbGZRoUmRDdShubfEQg0Kusu4QSJPV95iNSSAbQX/iLgYlOqb6YFMzfGkMRPTq8EAuUOKEdeJpd5VuqFDWtQxKDCFttBNHqtntLoGuphi7LZiOikzceWFbKhLQlvm7z5eJx3eddJwrBz6agwJjYFDMAsWlabKDYmVQKL9Hc1ahO0w1A9rC60+Cx1HovRblGOfo/iiuK5Qq69U2DxcoCbZ30FvfZqQxej2srTvtQle7Ft1p1a6YspE5/WNkUDK0b9NhfxvbUl3hiZXrYM/Beijplw3fmzYJvOyy66xBcWeBMjBmBsUdF+1oWzzeYFCij3JYYOhQmEFhJCSQDRbJurPFkxOjBsV60dZ9UegqnbJ3aooQ3+0+6G/Rdd/P7+OJYY/oWHrwsy/E45/PPg76pKa4NKco+hbP3oPU4nFnT58s/bEyKFi4ujX3BjcQuB4jW7uhel8Us8H0XYuwHY5pt9EmlC/bWyFclQV9M2Fi3kDwGphBkdjf3mkwKLjDzjKsgF6NuSdUuzwLZVSOX3+yve4AdHRDObiCQYmRBfvX6q/EcYsL4A0zpoArWzwxMChuD2szxxhEyaCQUwTt2LRzdyt7srayuks2m4oxfI90rcXoM8AN0aEoXFgoCP5s1x7P2o25QJHY30ZNBonShrtQh0K90VgKFHq9btWgjB4YnUDWdQxKlJ9ha3sH/OaTpeLx7Sce66rCuj+57GJy8TSY5zfuZr3OoOAFnY4Ft24iotGfWM9PDJukAD83pshG0qF4sc3DBYrE/jai1Iy8d1+BYtUvRAu3xEsn6uAJdkRkuGpQYHd4bt0GkVqJn+GNM6eClxmUhuYWMY/IrU6eWBkU67Gge35P9w6eqm7ZBgrL1HUTQZvAaI0I1th7TJRFl56XwAWKxP622508ZlBbTBoUd+/OTAdPNAyKC6K042HB2jt8cP8nS8Tjn5wwI8jBpjP6x9GGDW7zZHl6Do+btBmRgK2aqYXdC2TdsmGKR+f3VXUtVDUeEozfzMGF4CVwgeJwmE7kLBQ3FiixX9yqG/VeEOxkUNyQnGvqiGI8bl/6ajNsrK4VrMSts6aBV9uwiD3GVGM36lBimcPTiUFxYRt2dM4AkeuDacFf10YWyLolPNJkUGI8Pz/yaOw9FygJunhi6W8HW43d5eRBB0cfI2wtlgLF3J1pzCpEAtKl9Dl1FXMf+lqRadJ1hk2uYfeOpQWAQIHwrz/2syi3HDfNFYJK0qDEuokgBsVtLR5rCF9cDIoLowBo/s6aymrB9Lm9DUvnVawFygKPxt5zgSJhUKAX4u5p593S1h7VjI9OQVCaLghdYcSAfpCclCQ0CVUGE9QVcFHBicdWvY6uMfexUMiE177eAmsrqsVF8KcnzAC3MCgHYmzDujWsjYTore3tMb1mNzMoU4u7nmDstiwUs8UTwybQyqBMLy5wTQs2GnCBkuicjxgXercODKQLbizUcXB/u4+n2zvEMpA+R9eCLJ6wPQK6rH/10SLx+Eczp2q7yJM2IV4Gxa1hbcSAxH2OuphBWd2NQNYtxVi8DEpZfSNsqtknNlSnDCsBr4ALFNkMiqFBwSqXdnhuQKA3Guvi538+tofcZFFF4DTfWAoUa+tE14Is1onUoXh7yw5YvrdCCPLQdqwr+qalicU6Hg1K2UFq8WR5OkXW7WmyGCw3pSAvKouxWxiUeIwIhIVkN/aQDoULFIlJsoimtjYxhM1tQtlASFtsr/dwa6sZOKTromAXg6L7bBOcSkz0b7wFCuJ+Q4ty1ZQJoCuo+D/S2ioScXsSg0IXYS8cs11h7MAcyEpPE+NGNtd2rxFD1Ggu2qfjNhabcajd2Es6FC5QEpzFE2sOijULxU1C2ZwEdt5ucLd0XaBEt/gF70YztG3T+QcFxsb8WbFkT5l5TOg6pTpehtNaoOBu1k3x/iaDEmVIm9sZFEqQXV1R1W3Ks1uKsYBGLPbrCibKtrV3wJiBOWJEhxfABUo8b1qvXhYGJfYF0I1C2YA9Nf4Cxa0MypZ4GBQNF/vAHJ6mqBf0SGFmxIoV9s0ErYMUY2Q4ERjmhbtytzl5zBTZGFs81gh4LybIuinzZUCcIllEfXMLrCir8FSqLBcoccCqko5VgOfWsLZ41eXWADM37dD6pqdBYV+/BmFbHBoUHac3xxpz3xWoTVmQlak5gxL7+Wl18rgprC2QEhxjiycoAj7dUxOMI71WzHTScThivCLZUB3K6R7RoXCBkkB7B3dZXQ2n6q5AcZOTh0La4nF/uJFBoSGBlQ2HxM7ECwxKPDH3kVDZeEjcUxGnb05RfK2sPWQ17gEMCkbAU7y/rsxCKDBnaLIhkO0u4t4KOvZRQK1blk92ehqkJCclVqBs9xcopw4fqu1AxFjABYpEgWxoi2e4qwoU2n03xa9B0ZBViIQxcehPrCI8HV9rvCmV4YCFGwKnHHtlDo/bpxoH5vDExqAEsZwuafMcNTAXMtJSRWG1tS56hhM3lKSj023DRGsspuKimSIeLNtbIVqweVkZMCl/ELgdXKAkQB/HOuOj88DAbM/noLiVQYllinFPZFAqGv0X8EJtWzzpCW0iAi2evi6cZBz75xuYOp7hKv3Jqooqkc8TC3RNk6WiOh6dn7UAQ7GsV3QoXKBInPFB2H2wXiSO4g7ALRftHBtEsm7SoMRjMdZdg0I6okQsxp0ZFM1bPHFuIsjJ4yY3RCIMiu4BZqGYZibIRt/e0T0LhTaB8bJ+nfJQuEDpmTAdAnEeSK3tHeYC6BahLC1+cYlkjYu2bguCXVOMwzEoOorwAlk2NhYo2jIoiW0iKKzNLSLZFNRUGJ9vPAyK29JkKUF2VVn0AlndizHSxMSaNRWKjwwdyuyhgyE9JRncDGZQElr84s+SoMh7N2ShYMAXulribQ/oPuLcTgaFFhcdRXiJxNxHbPFoqkFJdBOx12UTjUnEjhk38cxZ0vWiHakYI31FtDN43MCgUIGZKIOysWYflNc3Cob+uMFF4GZwgaJAgGeNvHcDg2IN+DrYHHtRRrZHt+zOcOFCKzm24bbXHYi5B0wsk24FWaIx965kUOIuUBrNz9ANu1C62GKBHE/EjZsYlAl5udA7NUV8tjsMw0Es0DULJccGDUro8EC32425QIkDlBUQTwhUp7A2Fzh5zPbOkXgXP/8Jl5aS7IpJm8SeoB0cLZhx70Y1c0TYWaBUGDZjFBoiw6YbEglSFP/uSJNwUyCKNdXZWEGap1gzUNyYJmsKZOPQn1jXI92KMXLZJcqgWAsUt+tQ9FtZXMWgxN/icVMWSiIx9wi0zKH1DTFIs4u2nQ4e3XdoFKNtR4GCv6PFmHGjI4uSyCiKUCfP4H76t2HJNRZrBoob02TjCWhzw4T1HBvPz4VGgYJaHTeF74WCC5QECpREFj83xd3bcWFzkw5lTJwCWZ37+di3J1Zhnw07NGtYm44FSv8ERbLWNo8bphqTZTZuBsVk/TJcI5CNx8Gj8wbCTOu24fysaDgk4iySknqJ2TxuBRcoChwCQQxKv2zt3B6hyM1M/MTRdVEIh1E5/e1hUDRa7ElEiboaOyhkndNk+1oSORNhOd001ZiOtXgZFGrx6MYqhCItORmOTkAgq/NaZOcoiqAsH83OT0cLlNmzZ8Obb74JZWVl4PP54Pzzzzd/lpKSAr/97W9h3bp10NjYKJ7zr3/9CwoLC4N+x4ABA+DZZ5+FgwcPwv79++GJJ56AzEz9dmHd9rcToo8bobW9XegydHVC2BHS5sYgqIDFOLYUWZ1zX+gzRIdHIoMCraikeTyaHb+0gWhqbYs7kdNtYW3xTjIObfH0SU2FzDQ9J1QjJuYPFGsmsrkUeBkvm4sFATKLujHzdjAo1nlZhS5gACMh5k8HC4m1a9fCjTfe2OlnGRkZMHXqVLj//vvF/UUXXQRjx44VBY0Vzz33HEyYMAHmzp0L5557Lpx00knw2GOPgVtg9rcTsBnjRWL3QSMLRXMdih2Vva7WvlAgmzUyUQaFXDxaMSj20cehQtnCLL0WwAGGxTgRhtPKoLihxZMog4LTqY+0tmp33IZiqqE/iZc9Mad5d/iCmEWdWul2naPlRoFS5GIGJSXWf/Dee++JWzjU19fDGWecEfS9m266CVasWAElJSWwZ88eGDduHJx99tkwffp0WLlypXjOzTffDO+88w7cfvvtUFHhHxet8wWsv00HEmah4MUQC5TFu8tAV5jujwRer466jHDA5FC0MOLue49RQMaKQJR2H0/G3IdajfOzMrTUn8SbIksoMz7/wf1cxKDEkSJLwOJmSP9U8buoBa1tQFuc+hPaHOJ5gPNqcMNUZczPUn5dMY7beHJswgGzUNxeoDjOb/Xr1w86OjrgwAF/nsSsWbNEW4eKE8SCBQvEc2bOnBn2d6SlpUHfvn2Dbqpgtckm2st3i1CW1OXx0sduYlDIYoz5J/G2QnS0MebY3N8ODmvL8tQoCldrUBI4R92QV0QOnpVxJMiGe626iILRaYOCVkdaPH31Oj+1KVDS09PhoYcegueffx4aGvwne0FBAVRXVwc9r729Herq6sTPwuGuu+4S7AzdUNuiur3T2NwiQrkSAe1SdC9QAjH3CTAoLploTPqTbTFMSI240GtUjDnBoFRpGtZGKbKJbiDIxZOflSnEme5gUOL/fKmw1on5s6J3SgpMyBuYkINH1w0TbQIxjgFHodiBcg+0eBwrUFAw+9JLL0GvXr3ghz/8YUK/68EHH4Ts7GzzVlxcDOoDoBKvckv3u2OqcY4NFzfdFgS7I+7DLvQZfUAXg1aiWTZdaVB0FckmEqRI7xW2+nRf5LE9QCJoWxgUTc/Ro/MHQmpyMlQ1HjLZrXhhOnk0aU86cn42+M/PIhdoqKQWKFScDB06VAhhiT1BVFZWQl5eXtDzk5OTIScnR/wsHFpaWsTvsN6UL34J9rcRO815PHozKKZ4KyEXj967s9ACZUucDh5rIYdWV+orazMo0EaRrKlByczUyipv5hQlIGLvJJTVWIeCu29qDyQyaC7QmtTzHJ1WnLj+RNfXSgyKXfoTqwsNZQk6O7OkFihUnIwePRpOP/100bqxYunSpcJmjC4fwmmnnQZJSUmwbNky0B129betGhQUZupkd7MiOalXoLpP4OJmBrVlZGjDKnTJoNTGz6BgPP5B4+KoywIYGBRonyCw6tAh4YbAQkynBFK7RLIUB6C7k4cYD9xAJNJ2NnUZmjIoUwvzbSxQ9GKLAjEA9m0gGltazQTvQs3asI7ajCdPnixuiOHDh4vH6NLB4uTll18WDp0rr7xSMCP5+fnilprqr+A2bdoE7777Ljz++OMwY8YMOP7442H+/PnwwgsvaO/gsWNKaugCjxQyTr4drKkQjxijRKt7op51YhVCgToDYrMSafEEZ6HosgAaKbIJaBRC0d7hMz9XnbJ87LIZu2WqsV36ImtrUu8E2cQEsgg6bnUpUAYYdudEdH5dCWWLND5+bS1QsPhYs2aNuCHmzZsnHv/6178W2hAMbsNiBbNSsGVDNyxECFi8YKGycOFCYS9etGgRXH/99eCuFNnEd2doEkGrMWLYAD11KLTzRsEhXpDiBQq/qKjTVYeClm+kypH9IMYnXtDFQjcGxc4WT/BU4yz9Yu5teK3EoOhcoNBFlopiL4Yp9klNgfF5ufYVKI3eZ1Csx2+RRhsIR3NQPv30UyF8jYSufkZAmzEWKe4eFGjPgbTzQD2MHZTrd/Ls3AO6wc4JuLiAosgYF4XNtfFrPHQWyGrLoDggwiOh7GTNhLJ2zMpyU1hbIEU2QQZF0ynciMkFeYJpxmwPEn8mAt1mgwVSZG0+PxvcbTXWU/igMWgyZKIOAUKp5kJZOyfgBhJW9VsAgwuUxIsnnSamor6JFkC7CxSKu9eqxWOco3awnIGwNj0ZzuAUWe8yKJR/sroicf2JngynvSmynVs8XKD0CAQYlMQXv6CwNk0LFDsEsrpa+5xkUHSaDksOATEo0KbCuvNEY30WwP62MijU4tHn9TnNoOCwxfQUvXJfptqoP7EyKHis6JBxYzIoNm8gylyehcIMStwOAbsYFL2zUAIhbfa0eHROqrTDwaMjg2LqiJoS0xGFA9HtejEo9jntqMWDVupUY0KyVxkU1F61tLUH/U79EmTtYVCQAW8zAtF0aGk5pUGpMApsbvH0ENjpEEDs1DzuPmBPtbFA0ZBCtqbIbrGDQTHH12d4box72InGmtgYs9JShVPMLpYTrbfNbW1CPK3bUEQ7U2R1npmFGR7jBvoFsqsq7GFQ0KBATh4dRPtOtWDLWYPSs2CnQ8Aad48uAd1o1eApuDZqUDRa/AjZ6Wmm0DORmPtONkYNdqJOxNx3TpPV4+JNCz0yAYeN6byJXsgCTh49XqMTc3h0nsczpSBPFIh7DtbbOthPpw2T1S3pRIFSrMn5GSv05Cw1hp0plVQx41wfxBANhXgBkWyT56x9Vowy2jsoKqNwo0Sg01yTnAxndmdWm7EuQVB2tndCEzkxUNHrDIqZsKrBcetEgqyOrxVF7DSE1u4YgArj/MQJ7XTtchO4QInlzerVy3abcdDQQA2FsnbOiNB5Hs8YGwWyuu1EnYi5D51ojAsgOdy8IpB1SxYKfb52Mii62OOJQXGmQNFjw2QtHOxyh1pTrcmd5UahLBcoMYCqXLt3aLs01qEMtLFA0W3EeTj9iV0FCu3O0lKSRftIJXL6ONfiaW5rN4t1HYR4dlqMQ4WyOhYoWBTiAD3rMeelGTWIIYaBYLsNrVcds1DIZZdoGKYXpxpzgRLH4neopdW2kdiIXYaTZ5iGTh66uNmhQaEFAYsenYbL2W0xRjS1tZmtO9ULoJ1OrK7TZNW3ecxp4zYyKIGwNv0KFDq26tGB0+534HiNQaELKzFZdkGX6c2BQYH2M5yIctNpxwWKp+HE4hfU4tGMQcEagk4eO3bfpGNBwRv9Xv0sxvYl3OqSzGmnE6urNo8OVuOARszGFo8R1qajSDbQ3rHns9WRQaH3nZgAu6BLy9lJl11wWJv68zNWMIMSjwDP5gKlVNOwtn7p6aZl0w6RLE5apVaR6kUhkkjWLgZFpx63UzH3nRgUnVo8NgUpWsPaBmsokqVji3QGiYJ+jy4MChacfYxBs3YXKCQqVr2BGOA0g1JPLR79jt/uwAVKDDAFsk3OMChDNStQ6MKGrhY76GMdF0AqllBf1N7RATuMYtEOBObx9PF0gWJajTVq8djJoNBEY8xBQceFF1NkdR1HQTOQcN1AvZMXNSh2Rjl0rUFRf37GCr3ONs3R3whps9MhYNWg5GVliFAiXUBtGDsvbLrQquHaO/g52FWIBc/7ULwAOhQCRajSqEBxguXEY7a1vV20JnV4jU6kyOq6gaBdv936E50YTqc1KBUuDmvjAiWujAX76GOKmKYFdahGWSjktrGzstcxqXL0QPvbO7oMX0tGvY+DNuOgNFkNdmgBnZh956jOYW1OMSjIFuvAFtGQO5op40SBgrOH+qSmgPICxYY2ejjQsevGgYHqj0AXwYkMFJ2txjRhs9bjDMoY02Jsn0BWl+RccmE5SSGb83g0YBdIg2J3nkSZpk4euxkUPEaw1amDNiNIIGu8/3aivrlFjDFQzXLa6ZTsikFB9k8392R34AIlBvR3aPHT1clDO287K3tdaFUnLcadNCgKFz9q76BDwImMhaCJxhpQyE5tIso0FcramSJLbBEJ4lUnrFotxnYLZHVKfKakZ6cYlOpDh8VgxOSkJK02htGAC5S4Fj97WzxWHYpOQtlAAql9lX3AxpjhySnG4QcG9lEvkHWovWPdoaHQWCVVHjRt3OZNxB5Nw9rsnMOjY6BiUbZzGhTrJkLlhdtpDUqHz2duItzW5uECJZ7Fz8EWz3CNwtqcEMkGGBT1uzMEUp4jc/o7w6BosNDbmQTcFVV+uKVVizaPOW3c5k2Eri0e2vnbkSKr24waq4uHrLJ2w3TyaNDisXMjGDELRQOWMxZwgRLP4tfUMzQodGG1IwNF1xYPDmhMT0mBptY22GPYSb3EoNg5S0n3qcbogKPYd7vPUV3D2ujCSqyHHdApTTaQImu/BiUoTTZLAwbFwXO0wqVOHi5Q4mBQnBDJlmqYhRLojTrBoKhf/Kztne11B0T/3QkGBYOmVNnHZTAoViePSgaFXHZoCcZxFHZCx3k8WWmpYkijYwyK4hZPekqyWSQ54eJBVJubCDWvNS05GbKMWV1OtXiscfe6FdjdgQuUuGK07deglB6sN/8PtL3pgFwHhsyRswW1EWiB1cdibK+DB4EXSWp9qFrscxyOue8slM30XHsnyKrZN0sbJwRdVPEYO9za6gCD0kcL9uRIa6sjm8KgKABFjiViT9A5dbDZ/uOWUN7gL7CZQfEocE3C6HeEEycLXsxol6tLFkpAYGnfxQ1fY4fhJtHBxuiUg6fTPB5Fi705KNDB/naQ1VghheyUQJYKMHRC4OgHXcLa6LMlHYXXGBSnhgTqlCZLayxeU+xmcK0or1d/fsYDZlCiBBYnmCTplAbF2uah8eK65KDYaX9DRTkVPKoXQGuBssWhAiWwQ8tQehFznkEJZC14MacIj1uyuupCk5tzeGz+bANpsn08OSRQp5az03N4QjUoxVygeBN0ICHT0druDzKyG7s1shqjZgLFo04sgKoXBStG5fgLlG0OMyiqXqvpxLJRo9AVg6KyxYM2ZyeSnnV18gy0OaQtVDulegNBFmOnHDw6rEW5kgqUclMkqwf7Fy2YQdFgdxaqQ9GBQaGdN7pb7Oxv65Qmi1oCdPEgdto4JDB83L3aFo+TOSjWicY4UE+5Rsyh16pbWBsdU/YzKOrDy6wMilMOHms7K0/Rax1gsNROi9jLjQIFRccozHULuECJ0SHgRH+7E4OigQbFSW++Lgsg9rhRU9DS1g4VRovCOQ2K2h73PlktHpUiWXNWljPnqG5OHjqmnGJQUCSvUhBcTIMCnWzxKHbakRHByY0v/X7cbLotC4ULFI0YFCpQdGBQSH/ixIVNFwaF3me88DglUFPpEkCXFAlHndagUIsHqfLU5CRPTRsPLVB0afHQMWX3Z0u5R6i5oxahClDqqZMtHqvTTsV6ZLZgHRaxWws9N7V5uECJdfFzqL+NKKUCRQMGJZCfYf9ir0sQ1BCDqt9ttNacQI3C14qMAgm7nXbx4AKL+SOI/MxMT00b1zWsbZBDDEpbR4eZfaRSJ+Z0SFvohkmFq5BiAJxmUNyaJssFSoyLX50EDQrS5L0NgaoXE0h1Y1CIuXICZpqsgsXPamF0alAgARko1Vko/R1mOXVr8ZguHpsLFPE7qTWpKAoAO0tODwoMfa1KGRSHBgWGLVA0KbCjARcoGrV48Hc3NLcE7e5VIVeGBkVxDgoxVXuMnbETMCcaK1j8ZOlPOgtlVTEo6VJEssig6BDWRucP6Zy85G5Bh1JaSrLITKL2oeNZKAri7knrt19Gi6eeGRTPoj8tfg6KZHXSodDFrc7DDEqJUaCUHnTGwRO00CsoxmTF3BMCDEqW2k2EQy0eFFJj4ifO+8lXOLtFKoOiSMhObbSqQ4dEy8lJqMwqCmj95DEohdzi8TKD4pwGRSerMZ04TogrA9ZbtYv8UAktHtrd4rwN2W07mqXktEC28wKY6blp4whsk9EuVLVOrE9qiuk6cZRBUZSFQoFiTgpkdWCLZAW1IbjF42E4vfjpZjUOMChNjjEoqBlQ5fiQ1eLBll1zW5uSLBQK8pKx+CGqGv2fa76qFo+D08YJlJczYkB/UAkqHPDYorawlxgUM6TNYf1JcNy9Ap2Y0eJxWsSO4BaPhyFj8dNpqrGTGhR8D3GuicodGu5caIqoky6eoNkmkndolFIpjUExslBUaFCQUaDkYyd1YruM83PYALXnJxUOdk4x1opBMUPanC9QahWdn3jM0jRqmQxKIbd4vMugOG0H00WD4uQUXHR80O9VlbBKDBUKO5vb/PZYp0C2atmLvZM6oq5Esio0KOSyw8K30ci1cAI79x8Q98MVFyh0LNGx5bUwxYCDx1mLsUpNHG0C0Z7vBAsWinLj/OybniZubgC7eGKN0XYwByVIg6K4xTPQ4YubapeAaTF2mD0JZlD6eHJQYKd5PAoYlIBA1tkNxM46PRiUQU4zKIrn8RRJZFDMrCLJr5UsxrJasIdbW02JgluyULhAiQLoKMRpxjIZFKQ4U5LUfDzpKcmmAM+pGS6qF8ASw8a9R0KBoiqYzsksm67i7tHhItuFa7rsHD4/dxotnuGKNSh0LHmVQaG0XpkiWdkMConYndD5dbeJcEuaLBcoUQCLE0rkdHqHhrY6FL4lJyUpS6wk6hHp8oMOMUYmg6LIrjnE0PhQeq8UBkWy1Vi2zRhFsphbgTZc2btRpy3GoS2ekuy+SgXedCw5zaCoyiqSlSJrfQ8xdyVbYusjR6JAlkCiY5pzpDu4QIlh8cO5Da2GuNMpoD5jt+EqUdXmCUzAPeK5i3aoBmW3hxkU2UFtmFdB7STZQlkz5t5hBgWLMJzdghsWlW1YpxkUOj+x2CR2ShYyUlPNVGAnBwUSmixOKJksismgSGrxWAuUQpekycZcoMyePRvefPNNKCsrA5/PB+eff36n59x3331QXl4Ohw8fhg8//BBGjRoV9PMBAwbAs88+CwcPHoT9+/fDE088AZmK5nfoJJANdfIMU+TkkUE9qtagmC0ejzIomHRKF21ZGhSVU40Ds7KcP0fJyaNSKOs0g9LS3g71Bhsl+xwl5hiLBhni0WCrcYaCmHt552eFywYGxlygYCGxdu1auPHGG8P+/I477oBbbrkFbrjhBpg5cyYcOnQI3n//fUg3NByI5557DiZMmABz586Fc889F0466SR47LHHQHeLsYzFTwcnD7V4nNqdWSnkvB4hkpXPoCDrFxgUKL/HXZCV5ckgRWsWikqh7EAHU2QJFAAnu81jOngktHdUhkcGWjzyGZRil7R4Yo62fO+998QtEm677TZ44IEHBMuCuOqqq6CqqgouuOACePHFF2HcuHFw9tlnw/Tp02HlypXiOTfffDO88847cPvtt0NFRUWn35mWlhZU4PSV/ObKoo8JdNFUVqBkOn/i1DSqm1GDia4UJiZHgyK/n08ZKCgadToqPFzcvewdmhmkKGEToUNYm5NzeKwX7ZE5/aUXKGYGioT2jkpGN+DikahBqfc4g9IVhg8fDoWFhbBgwQLze/X19bBs2TKYNWuW+Brvsa1DxQkCn9/R0SEYl3C46667xO+hG7aXZKK/JItxJwaln2oG5YinKNXQ9g7SxzI+00DmS4Z8/YnE3RmiskFNi8cMUpTwenXIQnFyDk/nNNkMNSmyEhw8KtNkzZwiFRqUvh7VoHSFgoICcY+MiRX4Nf0M76urq4N+3t7eDnV1deZzQvHggw9Cdna2eSsuLgaZoEpXngZFLYMS0KAccf6irUAkS4WfkzN4wu3O+vVOh7TkZE86eAgVxKBIbvGYOjGJDIoqjRgeQ3gsOc2gBFgFRQyKzBaPgk2EOYdHqs240WyjaTCQu1vInV4WJ1paWsRNFWSFQHUqUPr1FQcROnvUuHiaHN+xZPdOF7krTqe5WkGFH4XiOQ1kaTAtEh0RuNjLCJ9yMgk4ujRZ2QwKtbScZ8R2GQWKKgaFzk+MAXCypUXFrWzLOA0KlNniUZEmK3MOT2gLFi3V+P/LXh+UMiiVlZXiPj8/P+j7+DX9DO/z8vKCfp6cnAw5OTnmc3RDIARKTounrKFBLD44W0RFKieJtyisyQlgvkqLUZTIDmsLDAmUU6AEM0YZnkgC7m6HJvu4lakTo7A2LAKJyZAJYjTwmHJy80LsjGwGRUWLh1plMosxFQxKa3sHVBlFihvSZG0tUHbu3ClErnPmzAkStKK2ZOnSpeJrvEeb8dSpU83nnHbaaZCUlCS0KjpCNoMixrobC70KHYp5cXO4sjfTZCX3uE0Hj6QWj4pkzlxVDIoqkaxEpx3mIVUbIu/hCto8dBF10mUXLO7OUBTS5nEGRUEOSlCbxwVZKHHZjCdPnixuJIzFxyUlJeLrRx55BO6++24477zzYOLEifD000+LTJTXX39d/HzTpk3w7rvvwuOPPw4zZsyA448/HubPnw8vvPBCWAePDjD72xIr3d3mVGP5BYqsiPTAFNE+ntagqIj2lx3SFmoz7pOaKpVdCDAoclhOlUJZp+fwqDw/Mb+H2DcZgwI7RwHIea1Zaami5et0IGZXQwPdIJSNWYOC9uBPPvnE/HrevHni/qmnnoJrr70Wfve734kiBnNN+vfvD4sWLYKzzjoLmpsDC8eVV14pipKFCxcK984rr7wislN0hekQkMSgBFuN5S+AZFF1+uKmaoqozAwUVQyKjDTgSKmcaG1G5xumyTo1KiHUNk5j62WdoyiUnVlSpCQLxekUWZVD9HCOU0pykmhxY2qvLATCFDOk6P5oA9HU2gZHWttAJsoN8XGRFwuUTz/9FHp1I/+99957xS0S0GaMRYpbIDtJ1rq7l82g4IBCslU7bVGtVdDiwR3aYIPalFmgyG5nmSmVDu+yI7V58BhCoeym2jppGwi8qMlKHg2kyfb3XIqsSgal2NCfVDQ2QodEdwCdn1gcIRvndNuFZAOyNxBWltOTLZ6eiAGSc1AQuxRlodCFDYe+OV2QqchCQW0EUqvoqqETVSqDIslWLcOJ1e3EVElWY2rvyEp6RuxQ2OKRzaBgu46mm8ty8MgUyJJ4lCZhy1iPyMEjc9MbmoXiBgaFC5RugGQRTjPuKQwKUY9IlTu9g1GR3kgF3956uTs02cWYKg2Kink8/SVNMtbFaiyLQUEx8JHWVuP/zJDr4JFoMVaxHpFAdp9EXaMb02S5QOkGWJzQTBMlGhTJDIqZbijhwkYLrMwobRUC2WAbYx85gwKNi7bTu+xwqDS0AwWSdmgDzBgAeecnhbXhBkJ24JWMOTydzlFJbZ5ASJv8AsXcREg4RweYDIqKFk+ja0SyXKB0A1rocTeBNKDsAiUrPc1su0gVyEpY7GsUiGRVCGSDMyUypOT2JCclKbEwBsXdZ2V4MgYAsbe+QbQJMatINlVuMigSNhGmTkwWg0ItHgUMiplVlCWRQVHY4snPzBSaQ52h91/XQwWyCExWpVROmZH3sizGqqb80nspM6RN9rRUYsHQQSOzqO6UJitJg2LOypJkMaasot0HG5QIZb3MoJBwU+YkYxWuwsD0bfkFSs3hw6K4xs4AuqZ0BhcoUToEZArwCKUH5M/8kDnDRQWDUmK0eGRMMbaCdru4MDm9a1GpPyEHhswet5mBIvkcVZGFkpzUy/x8pTIoks7RwYYGBTVisiEzTZZEsirOUZ/PImTXvM3DBYpGEdqRs1AUMCgyWjzGyYkOgYxUOS6BoYo0KJjK297RIUWHompQYGcGRZZIVr4GRZVQli5s6LKTs4mQO9TTbPH0EAZFRQvWqkMh15Su4AIlWvpYokOAQBdRmULZQEib8/QxZlZgUJHMrAVVLR7ctZBi3+nXas5SUsagHDLPHQxRk8egyD1HdyooUIjJwIJXhguNGBQZbdjs9DShuZM9KFBFmqxMM0JXOpRCzbNQuEDRuFdI03ZlWo0Du+8mzwWYoXi0r7EAkn5AJszF3mEKmRZYmVNSrUDtC9lTZbR5VJ2jVKCoaMHKKj5lOu0opA0/R9npqtbXKoNByVHMoJS7JAuFC5QoLYyy+9uqGBSZItmg7AEJfV8q9HCaJ0ayy4ZJlzu8Q5N9EQuHColtnsC0cTUFikyRLBXydN54SdwdaO/IZ09k56CoLlAquEDxBlQ4BFSGtcmaw0OoNi/aGZ7NQJFNl5sx9woLlMBU4yxP2oytIll0nshoZVnZMWkMymF5DAo5eMokDgkMx+aizgezhJwC/moz6l5Vi6feHVkozKBEudirYFCoxYOsBk6/lAGzNyqpsg/s0JxfAEtM/YmaBTAQBJXhqTZdl0JZCS0eigKQvYnAc6Te0L0Mk7SJoGPHiwyKypA2a9GH9ltaB50K/1SZU4TgFo9HEFj85B9IKCIlEdVQCX1uFQmkMiPgiUGhwk82ZE00lt2m69JqLKHFo2LauKo2jyoGBbVb6SnJUjQoqlo8mG1jFmQOFii06W1sboGW9nZQgQqXDAxkBiXaxU9Bi0d25L2KBFIzvVFCgUKtst1GvoxsmIJgaQzKEQ0YFGcXQLxo4jA7VUJ2avMMk+Tkkc2goOC5pa1dynFLlldVLR5Z6xFtIFSxJ4gyw8aNG9I+qXLak/GAC5Rok2QV7M6ChLISKGSiNeslJpBWG3NbZBQoFNKmqsUja3y96qA2mSJZshhjxkxDSwvIxk7j/JRlNTYZFIcHBYa7aDvN/AVSZNUwKLKyUAICWXXnZ31zixjfIovljBdcoHQDanmoaPFY2xEyetx04sh0f1ArKU+CBkW1SFaGSwAFeCo+x0gTjZ22GZvnZ1OzyJpRxaCMkM2gSBwCKWseT1FftS2e4DZshuNheyoZlCAditFa0xFcoHSz2KOgSeXBVCqRQaHWgMzXSjsWp7NBsBVAgk1lGhQJjghk/KhNt0/hDk3WPB6yGKto7yB21hlZKB5mUGTY43H8A7EWKkLaZDIoA4xBgXUKRezWQrBI0kiKeMAFShfA4gQV3Vq0eCRoUFSIK2slhSOVGLsEFKapupgRg5LjoI2RbOIy23RdpcnmZWU4OnvIyqCowK4D8kSyeMjQ7lsFg+Ikq4BMG661zW1t0gT6qtJkAwyKug2ENQtFZ6sxFyhRLH7Yq1O12MtkUFRoF2jH0js1xUx5dQL0/pHoWAWI0XDSxmh+horp41pjYirCyYmpKmdlWQsUPHadzgrB15qSnCS9fSdjHo/p4Gk4pKRVR6DCz1EGRXFIG4FbPF4RyCo8kOiCilWu0zY/0/0hsbI/3NpqWqmd7ONTgSJ7inGojZGKP6cWex0cPAi8yFQZAmgn2zzmoEBFDGdzW7vpiHC6zUPaJVyPZG6YZDAoxQqHBFpRI0G0n5uhR4FSYabJcovH1RZjVYsfXWhIbU1tCsfV5ZJ7o+urasX9pPw8x/4PapHJHhIYcaS7QwsgtelUCmQ7p8lmenJWVmgWitNCWbpo0jHkJQbFdPAo1J8Ehyk691oH9NFjE1HugjRZbvFoTB93jrx3dgHMVXRxW1dVLe4nFQ5y3sGjuEBxegE0hc4aFCg488jpNFkzSFGRBiVoaKDTBYrx2VJ4mleKaquTRFWKrMwcFNKJqb6ulLtgHg8XKNHM4VG4+Fn73E7rUFSNAF9bUeM8g2KGtClmUMxMiQzPDgrsJMJzsMWjA4OyS1Ka7EBVDIrDbcmgFo8mDAoykU6Ju3VIenbLwEAuUDRf/Ky7fqeHBpK6XBmDUiCDQVHc43Z49pAui5+1xeOsSFZdzH1oForTYW10zHiTQdFDg4LOGgz9Qzgles7RhkE5JO4z0lKhn3Ee6QYuUDRf/GRajXNM8ZbcBfDrmn3Q1t4hGBwaGGYn0NI72KCQdWFQnKKQVQidu0uTdbLHrXLaeKcWj8MtWMoKUsWg4IbNKVaBXDx7Fbd4UNxN56gTTp7kpMC8M9VOu6a2NpMtJwZLN3CBovniJzPuXtUUXHRCbK6tE48nF9jf5sG49bSUZFEEqaaQTQbFoWA62p3tkxjkFQmVxnvtZNy9DjoxKlBwA4EXIK8xKDJYhYCLR+356XQWCmmmdGBQZG0iEgEXKNEsfooZFEo+dVIkizkOqcnJynbfTrZ5qLDbW98AHSpDFiRMNKZdthYMigyRrMJJxtbJzU2tbSKjpCQ723MMCp4ytGlxojWJRTXmICFUbyCsriUnGBQSyOIQxjaj6FOJMmMwo646FC5QoslYUFzplhoiWdxlOLVDo53R4ZZWONLaBrKxttI5oeyQfn21cPDImGisw6DAznH3mSIF1clNhEqWEy/gdI46qUMxGRQF7JiZheLAcUttXWQuWoxwPz0YlAzPhrSFMiikAdINXKBERR83KxcbYgQ07tCKjYFadgPj11XuvNdVOsmg9NNCf+I0g6LLoEBC1SH/4ofMHAmw7URacrIQ+OnAcu4gJ0+OMwVKanISjM4dECTKVXEhc6LNrMOQQFlpsqqckm6Nu+cCJQoNiurFD3doewz3iVM6FEo3VLXzXmcwKKNyBkBGqv+i47WQNuvihxdsu1kFnB1FUeiydUThgGmntBt1IqyNghQ7OnxQ36xHFMBwh9qwR+cPgj6pqeL83FYnv0BZY2wgphUV2P67afeuckigrKnjOZoxKGWaDwzkAiWKg0l1iyfIauyQk0eVQNaaP4AtAZxTMzF/oK2/u8Ro8aiaYmwFMRtYSBBDZ/furKG5RQuq3OmpxmZ7p6lJ6fwWq1DWqSyUmYOLxP3yvRWgAivLKsX99OICx1o8NDJANZwMU6QYANWDAjtloTicUh4vuECJANzd4o5UBwYlKE12gDMFig4nzlqH2jyUH6NDiwdZBVLv271DU5UE3J2A1CmhbIDhVMueIHYarIZTabLHDi5QWqB8aRQok/IHidaaI4MCNWnxUBvWSQZFB4bTKkp2chxFIuACJQKwOMHdvA4aFCuD4lQWiqqQNivWVzkjlDVD2jQoUIKCr2zeoekUcx/KoDjS4jEFsuoXe7PF41iB4mdQlu0tB1WvD49btOtju8lOkIOEHCW6MChOiGRJ66eDxThoHk9WlmNC9kTABUo3amt0tehAl5fudzYLJSDeUnfiOCGUxYTEbCNwb48mFLIZHW43g6JBkRkpTdaRFo8GFuPQFg9+plmGcNfOc5MEsisMJkMFviyvEvczDDbH7haPPgyKcyJZk0HRpMVTdeiQ0HBhy9mJ15souEDpJlBHFzGTmYXSz2GRrMITh4SySCPbVc3T+1XdeFiJfbqrBdD2AiVTr/52sEvAuRYPZkqoRn1ziykwt5tFOba4UNx/Xb1P6Wv9sszfXppus1CWGBRdChRiUHBzY3c7i9K692vS4mnv8JluOx2dPFygdLM7QwGeDqD2REm/bEeoONNmrDCBdPO+OhF4lZWeBiNsEhuaQwIjCGS//cA98Mv3XoXeDqadRmZQnGnxaMWgWLJQvJgiK0MoO7PEX6AsNwoEVfjSAaFsekqy2UrRxcWDw2FbDdbc7nNUNwbFWhjqGNbGBYpLFj9MQcW4aUxcdIKK02GGC1bzG6prTRbFDmBBF8linJyaClPPOQNyigthyNETQL4GJcMhAZ4+i18gTTbLuSBFDRgUaz6J3ULZGQaDokp/ElqgjBuYa1sbiy6K2ErXZa21huHZzXLSRlAXZj7YycMFivvm8Giy+GEsMimunYi8J+pRtbp8HQllbZrJQwxKaRiBbOHoEZBsRGznDi4GrzAoqj/DcPN4CnsAg7LLZFDsOz+RLT12sL9A+bKiBvrm5oDK1gcyuWgeOKYw31YHT1fsyZhZM+B/Hv8T9LNZnKtiZpaZg6LRJqK8oQcxKElJSfDrX/8aduzYAYcPH4Zt27bB3Xff3el59913H5SXl4vnfPjhhzBq1CjQUSSry+Jnvcg6oUMhgaXq3bfdQll6r8K1eIrHjTEf55YUu59B0SjmPpRBwcTX7PQ0Z85RTdqwOxxo8SBbgVqIxuYWmPnLn8HdH74uGD9VWFlub5snmiGBc35wDYw5bgZM/+Y54OY0WUwDJsG+TgxKucZpsrYXKHfeeSf88Ic/hJtuugmOOuoo8fUdd9wBN998s/kc/PqWW26BG264AWbOnAmHDh2C999/H9KN3BEdMMA4kHRZ/JycatwnNcWMDFfdGzWFsjYxKBTSticMg1J81Fjzca5h45RLHzvFoOhToKAwmYSddi+A/Y1zVPW08dAWj51psiZ7Ul4Fw2dMhZTUVBh2zCRQ3eahtlOioLZCeQSLca+kJCiZME48zi0uks+gZGXYzviha0YXZl53BsXPb9uI448/Ht544w145513xNelpaVw+eWXw7HHHms+57bbboMHHngA3nzzTfH1VVddBVVVVXDBBRfAiy++2Ol3pqWlBRUvfR2aRxO2xaPJ4heUhWJzgUK5Bkg7YgqpDi0eDFfDC1CiJ7LZ4gnDoAy2FigSGRTandnNoOg0KDC0zYMsAAplN9fWeZblpBbPsAF+Ibsd6bYzjQJl/cEGSDUKsoKRI0AVVhhC3Wk2MShmgRKBQSkYNRzSjfMkR+Imwok0WTo/0Xiheqq6FRX1h7QtUGxnUJYsWQJz5syB0aNHi68nTZoEJ554Irz77rvi6+HDh0NhYSEsWLDA/Df19fWwbNkymDVrVtjfedddd4nn0K2srAychtnfbtKvxWN3WNvcUcPE/Zbe9kc7xwrcbdNCn2ggFDoEaNceGtKWlJwMhWMCbUWZGhRzYKDNQW065qAgKhudmcfTX7NzdPdBv5AdZ+bY5VoiBmVHUsDuWjByOKjCKiMLBXU2dhy/NPw0kgbFKl5XcY7aKZKlgnqfJgU1gdirHtHi+e1vfwsvvPACbNq0CVpaWmD16tXwyCOPwL///W/x84ICf+WNjIkV+DX9LBQPPvggZGdnm7fiYucPVNMhoNHBRBfZYTaLZM8e72cSDk+bqlSE1ylRNkEdymBDgHeopbVTz3fQsCGQ1qc3NB8+Ah3ojsrKhEyH5qhEYlAwlROZBTuAv8ccFKiRhRFRacbd27sA0oKvyzmKQnYa6mnHOYpOmQl5/rlUlTn+oDZE/qjhSvNeNtfss21woDko0HjfQjHUUqD0L8iD5BTbSf+uGRQbC5RczRg/QrkRBZCXlWF77ot2Bcqll14KV155JVxxxRUwdepUuPrqq+H2228XbZx4gYVOQ0ND0M1pBBwC3m7xoHBxal6u//fn5UHRWD/zpYMOZXKCOpSuIu6pvVP29Waor66RqkNpbmuHeqN1ZReFTLtZFFPi79cJFQ5koaDgMNPQTekwiyc0C8WOHB8sAJKTkgSjmDp0qPn9nOIis92jAl/aKJTtzsUzZNKEINazf6H9wwplhSnqKGKnv6fFWDOcyCvSqkB5+OGHBYuCWpKvvvoKnn32WZg3b55o0yAqK/0Hd35+sE0Nv6af6YDAIDL9Wjx909PM3WOiOGX4EEjp1Qv2Z2VBQ2YmFI3ToUCxx8nTlf6k+Ci/g6ds0xao3eNvGeaWDAa3xt2TfVG39k5w3L19i591ErQOSbJOZKFQQBvqPvJH+Nuw5JS0fu3WwDbU6RQZbb9wGhTUnuQb7ayGfXVSNxFOMCg5mjIoOg8NtL1AycjIEJS5Fe3t7eKkQuzcuRMqKiqETsUqekU3z9KlS0E3F48u9DGiqa0NqozF3i6r8ekj/Qvd7jx/wVisAYNCU43HDxoIycbAxkSmGIcLaSu2MCh1RgCWCquxXQsgCW51irkPzUKxc6Kxtb2jk+DQzqGBM80BgRWQb5yn9TX+IMN8hUJZuwoUzBhJTU4WrhYqYq0YPGGcuG7sr6iE3es2SNWh1DgoktWtBWstUIjR8myB8t///hd++ctfwjnnnANDhw4Vzpyf/OQn8Nprr5nPQU0KZqOcd955MHHiRHj66adFJsrrr78OOgAre90EeE5ZjU8f6aeOdxsThK3WW1XYeeCgcBNhau7YBDQxJRFaPL169TIzUPZ+vRlq9+yVbjUmpmOgTVZjmqWkI4NCLR6cmGq3xVin9g5iZ519BQpZeTcebhJsQltrK2z4dJH4XoFRsKjA2soaEQWfn5Vp2vgT0Z/gLBjU74RiqNHe2b1+I+yjTYSkc5QYThy7gTEMXnSdyZqZpVWBgnknL7/8MvzlL3+Br7/+Gn7/+9/D3//+d7jnnnvM5/zud7+DRx99FB577DFYsWIFZGVlwVlnnQXNzXosNtnp6SItUTcNilWHQuxAIhgxoB+Myh0A7b16QdlAfztl4NASIR5VCdwQ2yGUjaRByRlcDH36ZkFrczNU7dilhEGxO6lSh2nU3bZ4HGJQdAIW13a0ePD8xvcLtQFV2f7juGbXbqjYvE05g4JM7ldVtQkPDuwupI0cPMie7NtbJtVqjBsknAtm6zlqhmHqdczqnIVie4HS2NgIP/7xj2HYsGGi3YMJsVictLa2Bj3v3nvvFXbjPn36wNy5c2Hr1q2gC6hXiPMhWoyhUdpZjW0oUOYYu7DK3Fw44vOJPi9SqgWjR4IXhLKRBgWS/qRi63boaGsPaFBk2hhtZlB0HBQYujvDoqK3TS4MHWMArCJZtM8m4oig/JM1ldUwYLif5cRiunLbDjMfRCXsEMoWkUC2PrzpYcjR48V96foNFgZFfl6RXW3YAIOi3zlaXq/nPB4eFhgGurZ3ghgUGzQoc6m9k5cPNaV7RLsDUTw2EAGvCuuq/DqUo+NkULBNV2IsgKEFSsDBs0Xc7zNaPP3z8yBFUpqx3QyKrg4BBIbt0W7ULqGsjkGK9LmikwoZ2ERYzmMNpmA56k+G+zcS1VigbN9pXqhVMp2kQ0kksK2YLMZhHDx4LvbLGwTtbW2wd+MmqDMYFBUsp11x99SG1ZFBqdA07p4LlDAYYGag6LX4IUqNHVqiDAqKT08dQQVKntid0QVbByfP2grDyWNoY2IFXggxZ6StPTBkkTDYYFCoIDt8sB6OGM/JsSHbIaawNpsZFB0FeMFTjTNtPUd13ETYIZQlBmX53nLTyVK1fScc2n/AdLTkGYWLCqykAqWoQGwG4gEJMsO1eMheXLl1B7Q2NUNduT/BFluzfYyWl9OotvkcJQZFpzk8Pa7F4wXoSh8HZaEkyKCgAA/DvRp8ADUDBojFr3zz1k5D9FRhQ/U+oe7HC1p+HPMw6P3B3Vl7R7DLo8h4fVSQIfZJthqb9LFdDAr1t41FVTfYPdWYWE7dNCjWNk+8QwOxNTSlMK+Tg6dyxy5xj+cqomCUOh3Khppa0QLHNWRMnEJ2uhiGLVAM/Qm2dxBYpByUnFdUazeDYpyjOjrtyo3PgBkUFyBAH+u3+JEGZWBmhhlUFQ/mGove9qws8PXqJehjzARBFI0ZJUKRVOJwaytsq9sfN4sSEMj6LxYEHNmOablIHaMGhUAiPNk5Cz1BgxIslM3y5CTjcAVKvELZyQWDID0lBaobD0NtcgpkZGdDR3u7EMkiqM2jMvIei/7VFVUJCWUDLZ7OGpQhk/z6k91GgYKQLWa3MwsFtVc0kFVnBgULzkSuK3aDGRSXUXEYNU2FUyI6FLIXVwwZYu7OkEVoPnxYpFQOHCIvtKz7ycaDbBPIkv4EW1ptFteYWaBIWvzMWR92u3g03J0FWY3tavGQzVjDNiyFtaFLLh7MLCH9SblZhNTu3gvthtGAhLIqI++tQtl4dSiRGBTcHA0+yj/BmPJPELKtxlTs21GgkPECW846BQsSGltazUGxOrV5uEDpavHTcHdmR+Q9Vsk0hKxy6FBzd+br6ICKLdu1afNQYFsiBQrNRukc0BZo71gXv4GSWzyY9YLJwF7OQQmax2NTi6efC1o88c7jMfUnmCBrMJ3VO/3tnaAWj0KrsVWHEo+TJyM11WSq94a4eLB1lZ7RR+jCqneWmt+XbTVGBsvuAkXHTS+h3PgcdGrzcIHiIoeAXVbjU4cPETM+tjcegsaMDHFxpt2Z2ebRQChrMigJtHjoveoUcW8IZEM1KLIWvyOtbWKIoR1plThPCRM5Y3EIYFhd34H+GUxS5/HY1uLRdxNB07hH5PRPyMGzbE+FKYSt3B4oUIhBySkuhDRD16DSyTOlIE/MRoqnvYMzqXD3Hk4gu2fD1+CzpATLthrbmSZLLjsdLcahQwMpn0YHcIHiMpGs9aIbb4uH2jtrWvzWz6od/h2ZtUDRgUEhq/HYgTmQnpJsS0gbtXjIwRNOg4IXb5kLIOqJ7NCfYMGDIVrR4OJ77oBfffwWjJg2BWSg0kyTtVckq2WLx9A9IVMZ68wsFGSi+wcF4thCMR08lnMUXWf1tf6JwvRzFdhWd0CkoiILSFOXYy1QQh121gnG1vYOwrQaS0uTtZ9B2acxg1JBQnaNslC4QAmD/qbN2JstnrlG73prXz8FjQJZQvkmv5NHh6nGZfWNItcjJTlJzOVJVIOSOaA/9C/ID3qdhAMVVUI4m5qeDn1j/L8SXRAm5g+0ZXcWbXsH04JnXnSeeDzq2GkgtcVjm83YYDk13EQgO0afbaxtHmq9bqypFZoAGgpIbR1CwMmjVoeyMs7ANgyyo3M8UkCbVSBrZVDwHE6KccOiOgclJ0PfmHudBwZygdIVg6Lh7szKCgyNo8c9Mqe/2KFhhHbtkBLxvaodgT5vxbYdQpOCTpdsSRdqu4Wy2PLA3WuoBoVYIdTboBjYCnzNOJQMMVCSUPaNTf7Y8muOOdoWBqUuygJlzvevMl1assTQ1OJBUXAiAyARKUlJpm5H1wXfbPPEKJQl/Qnai7GgxvMQh69atRg66VDMwYExOnmKIjAo6ZkZkGcUZWQxJuCgRLQbJ6ekmBsNJ1FjCNmRIcpK0NlixgBoqhELGhhoFI86gAuULjQourd44slCoenFi3eXwQAjR8G6O0NnCy2GOuhQ4hHKUoIn7oDQrkwYPD58e6dTFookCvnZNRvE0LXjSopipsjD5StEw6CgbmHauWeZXw80ilQZdDk6GDBhNT8z/h0att/+5+H7g1JqdUS8VuOgBFnjQr2/vFJcmK2o3LZTDydPnEJZs0AJEcgOmThejNuoK6uAxn3+mIHwrVjnNxG4dpBOLFEWJdcFItkKMwuFGRRXuHh0b/HgSR7rvA+Kt/+0rMJkSEJ3Z6YORYPI+/VxCGUj6U8CDp5uChRJTh7MWXhrs981de3U+FmU3MzoLcanXvddsQOlhX7QUDkFCmodcWptom2enOIimDprhnjc0NYGHRYRpdvTZJN69TIv9FigEJNg1Z8QKrcbVmPjOaoLFGzBojMnWpAQMzTm3hwQGMKeqLIaB/KKMmyKrtCXQSnTMO6eGZQQoD5S51k8JjNgVPaxjDtHavyU4f7ckzWt/iGI2NYIbXeQPoMcLzoIZTG8KlqUmBbjkALFaPHsDbEYq1r8EP9YuU7cXzl5fMxC4FhD2jCk7tgLviEev3L/w+I+o1+2tOjwqsbEhbKouUg3WLHWdLVTt7vCjrrY02THD8oVrSt0tnxds8+iPwloxEIZlJyiQki3KUsn3rYA5pigTozSb2MaFBgSA0ABbaHtHVWBinalyQZyivS8piBIN8U5KBojOz1d0NA6a1DijbxHAV5273RR4OzLye0kkCWUbdZHKPt1TZ1og2DbLdrXSu6mUkuB0jsr02QLIjMoe6VPTF2wvVQwPbiAnT9uVGIOgW4KlFOv/Q6kpKXBthWrYPOSZXCwys9ODRo62DVW4/yRIyC9xR8o1Z6VabbtdA1ri6XFc2yJX3+yoqxSMEMU0haOQTlSXy80GQjKSnGTUDbSoECTQVm3Mey/ozTZnMHuSpM1GRQNBwWGnp+ouaE1RTWYQYkgkEWGoqXdzzJobTUekB1zvP3C7aWQZzy2CmQJNJMHL+gqd2cI/Aw21dTFpEMxHTyWFg/N38GhY2jT7JJBkTgxFS9E/1r9lXh83bRJcf2OgcZn1FUGCootj7v4fPF4wWNPifua3Xv8/15Sm4fi7hPpcReOHmEyKE1paTD7O5eBzi2eYf2zResmGsw0WIEVZf7BePkjAkMCw6HSpUJZFElTYJ81RXZAYQFkD8yF9ta2yDoxRWmy8cwDS3QOT27JYLj0vl9I2yjiWkvOJV1YFC5QQjDcaIHo2t4JZVCG9usXc/7Jh9t3BejjMLsznJh6wGitFI6Jb1evUihbYjAoVgfP4AgJsuHo46ycAcJNIAtPrV4vci9OGzE0rnh0sjDuC2nVWXHy1VeIEQa71q6HrV+sEN+rLTUKFEmaG8pCyU+gxYO5H70NBqU5NRWOOWuuFm6zUKB9Fp1yGKA32GhnRO3g2VMuGD9syYXTiBF0ibyngirayHsUSWNQJIqmiaGwBrSVb90WNIZClUgWsanGnzfz7aOPirrQ7OocjZZBQQfX9X+fJ+IATrvuOyC9zaNJFgoXKBaMP/lEuO6Bu7VOkSUQOxBtFgpSjETBIoNi7s7CtHisF/JiDZw864xWxOSCvLhTZEl/QgLgcGg+dBgajQGFMts8WEh9YOgM4hHLdqdByezfD46/7ELx+MO/P2l+v9ZoackSylYYWSjxalDQGo2FNTEotfUNkJyaAid8+2LQDciMUYsxmjYPWuPHGcm+y8sqTYEsbhSaDOYpFLpYjVeW+4cGjs4dEFUwHV388HiwipzN/JOQgDYr6srKLdop5+2wT6xcJ+z74/MGwhWTjpISdY9t2Gv/+JC5caA0YZlpsroIZblAsQB7upkdHeJxuyYfUCSUGhRytLoMirffUFULtW1twm4aSYNibfNokShrMChHGzvKroCuJloArSFtJPjduzE8dazKakz4pyGWveqYiTHnhJgCvAi7s9nfvUy06vZs3ASbPl9qft9kUCRZjSsT1KBg6w0X7xSDKdpiFNGzLrlAsEO66lCicfLg5gG1b9vrDgiavaCb9o5VKKs6rA2zaLYZluBpRflRO3hChwSaCbLrw+tPEGi3Ju2NjHMUB/v9frGfcbzn1BNijvRH4HRgnE6N2BdFi+ey+38Jw4+ZBK0Gi4QtWFnp1mT75haPhti7cRNsfvt98Thz+FAomeiv6L0wj8fa3hk0zN/GathXB4eMQicUOs7kGZU7oNvApMFGcYIaIhKN4sWLWlqRBLKEfcYOTZbVmPD2lu3C5YI7l7NHj7AtB6V33yw48fJLxOMFf/drTwg1u/dKDmtLbGAgDpFD+Or8mqStW7YLTQLS4dZsF92yUKIpUEh/ghOMEWbEfRgHT6jVGEPLsCWkErEIZU0Hj6VAwWTYweONCcYRHDyhOhRZQtk/L1sljl38HL8Xh06M2BNs+VGuSiSceeMPYOo5Zwgdzj9vvkPc4+DEfnmxD0xNRCjLLR5Nse8rf/Xekp4O3334fik0YjwgdgAvyNHsuCmgbQHqT4zFL1Jv22o1xouCjFjproAX3jKjsp/YDYsSLuK+cPRI0R7A+SW0+9KNQWlt7xDBbYhYFkG0paYZn0+43dmJV1wCffpmQcXW7bDh48/CupaQLsebLJFsogVKL+NYwMFri/79H/FYR7HsrhgKFIq4x/wTqzMnnEaM0NTQaDqxVM7kiVUoG3DwNASdo7iROFLfIJKeu4JsqzGOLvjfT78Qj39x0qyY8l6sG4ju2JNp550NZ9xwnXj88q8fgi1LlwfyioxNpaw0WWZQdA9pa24RJ8C37/8l6AisdNF+iyK87g4m7A1jH7y5rQ0+L90L+UZPM5L+hHq92PvG2TR5w/zsixsi74cYouEg/QkJZLvQn3SyGkt08hD+uWq9uD9r9PCoFwjSnyBjhAupFdjWOcm4cKNzxzoZluhyEkPLcPJQgYIFFbWl4ilQUo2FHoMUl736pjhO0ZI79viZoCeD0j+miHtEdxqxUBaFLMmqC5RohLLmoEALg2Lai7/a2Ok4jWQ1lqkT++eqdbCj7oAIGbxx5jEx/VvS5XQ1lmHE9GPg0vvuEo8XPvE0LH/9LfGYijVpBYpR/LMGRfOY+2ULP4W2lhaYeNrJWu7OUFxGLpXudCjEniwqLRMXMTOhsov+Ni4SZZv1afOsj1IoOzRMSJvp4OlGf6JipLsVW/fth8927RFaoauPmRjTjI9w7Z3jv32REMgiU7b2g4/C/vuADmWwFJaIgq/iEcrSRbi3IZLFnCIUNi9/zb+Yn/Tdb4OWcffdzMzC+ViYVNrU2iYca2l9+pgasa7OUavVON8o3lRhdUU1tHd0QHF2325t5EXGrBdrgTJ0Uvf6E5WBinjs3v/xEvH49hOPNWd9RQMqxiPlFOHm4NpHfgspqamw5v2F8O6f/mb+rFp2gUItHk00mCySjZCDUrp7L7z58J/E43N/cqOWehTTatyNDoXi7bG9Y13oq3d2vTszE2XH6iOUndRNi4eSdYMEst3M4LGi1mjxYCYDDdSTiSdX+lmUa6YeLVKNox4UGEIfI11+8lWXmzsynyH+DkWtoUMZJEsoS22eGLNQMJ5/0FD/Ip1pvC8UBfD5v18SA/XGnXic8uj3cCJZfK1dtQWONYqR1RVV4kKYNzygEYuU2UOo2qYHg4JzazZW74uqzRMupI0YlNIuHDwEanvkSG7DPr/+a2EyQEbkJ8dPt4VBwdbq9//8f+K+dO1X8Pwv7w9ikGpK5RYopBPD3JdEh3raAS5QQtC/T7p5MC1+4RVR0WJle9XvH5AWCW6nUBZV5ycbCx4WKLjQU/uisgsBXlCBooWTp8bUoHSVRxAa0oavt9DYXUbT4mnAianNzcK+2r/Q+YmpoXhl4xbRukDdAjqvukOuka8QyqAc960LRDgbLuar3vELv8OhVnJYG4nwCrNi26HhAo2fyZGGRuhnXOxpVhZS/hs+/lw81ontxEGGdFHCwLbuEmQ7tXe6YU/8z6FNh1oGBfGlIZSdYbSrIoF259ROQCE3FZbdCWStDIrsTQSy1vd+tEg8vvm4aVHH39M5ui+kQElOTYVr/vhbYfPH4Yj/vPWOTvkvNQaDkiepQMFcGsynQRY30Xh/O8AFSgQGhWLu//OrB8UuEynXbz/wSz2zULpo8aA7AIWU6BDBPBGk8vGijX37+mr/RT8SdGrxbNm3X+gs0LKHlHi3gwKN9heKB9GaiuI76l13Bdy9qGzzNLW1wb/XfR21WDYcfYyv99RrrjTZk462yInINaV75Ya1xcmgEEOQvmGjGNeA2G+Z8PvZMy+I++nnnS3aWm4SypoJsqZANjr9CaLSENFiqBte6LXQoXTBoGDeS1Z6WhCDMmSiP18Ei2kMiYx6E5GSAv2jzEayC29u2iaEzPga7jwpOs3TADNFNrhAQc3JyGnHiKL7iRt/GnZ6c/Uuv5FhQFGhOK9lFGF0jlIrTiW4QImgQSH6GC/kT9/+S78e5dST4KSrvq1f3H0XCzK1dzCcDZnDmBa/bTuFzQ0X/P4xTBN26sTZUF3bpQ4FiRWzxWO8N6Q/iaa900mEp0Aoa81EOX/c6G7FpNTiscbcz7jgG+KCdaCyCr58890u/z2FtQ2UNI+nkqzGMRYow0aPhNlr18DNZX7GBwWL1rbWjpVrRM4LtraQPdJOKBuhqO6dkmIOwlzWycHT/TmKTh4SOlN2ivoCJTLziBoVBIafkag7MH+ne/aENhHIOKjaRNyzwM/WXT99clQ5VLnmHJ7A8Tr3hutEMd3e1gZP//QXEdmyxn37xeYqKSlJ2noUGBqo1rqO4AIlkovHUu1iqurrDz0iHp97241mJLNq7D54sFsNitVejOhqhHso2ltbzefRLBsdEmUjOXkwQhsDkVCsRxZGCmjrKuI+0kVbttXY+jpxsUe3y3cmd619yglhUHBXedr3visef/TPZ8Vn2BVMq3F2thTmocKcaBz9bv/MUcPhr3n9Ycr27YBt8WfWbIATHn9OFNxWfP7Mi+L+hMsvFu+DDthpzuQJ/94eU5gnnHh4USDdVCwtHvE8TSLvv6quEU5BPCYjsZymgyec/iQKgaxqHQri45274aMdpWKtufuUWdEP8zQK6mPOOQPOuvEH4vGrv/k9bFnqD4KLhBpDyC6rzUMFSqEGcfdcoITswPtTiydkFs/Sl16DNe8tEH1wfz6Kej0KsQTEGoQ7MYhuxam5iAKjQImUIBuKMkOHokObh3QokRJlSX+CAVDtHb4Qi3EcDIqC3ZnV1oi4buqk6BgUY/HDwLKcokKR+bLs1f92+/8Iq3GlP6o8V4KTJ5Am2/3uDF/bvy4+B/773Ysh19cBBzMy4Acr1sH3Xns3rCMCz8+D1TUi1GrymaeBTkLZSDOWQvNPkManwjjaAkWXoYEo8F1TUd2lUJbaBtaQNjPiPgr9iS7nKLEo350yAcYOzIlqE7H/cJNIiKXoio+ffA6+ePmNbv+vaqPNM0hS3AO13ijxVyW4QLEgOz1dxE1bNShWvPSrB0U1ixeAy39zD6jGnvoGMWSuT2pqWEETDp/D17O+ssbsKwYYlMghbbpG3nc3NDCgP/EXbr2SksxJoN1F3Idz8qgsUF5cv0mkTh6VlwvHlRR1r0E5dEQIBuf84Grx9SdPPhdx4JpKJ0+0abJXThoP6266Fi6fNF4wYitHjoJ/nz4XXl36ZcR/g3Q5Ctt1shzvrDMYlAgFCulPqL0zaFiJ+BzRvYMunmigS+S9VSgbKQ8llEFBbR+KudtaW2NiOVVYja1YUVYJb369VYhJf3XaCVExKK19+4oZO1iErlvwCbw9789R/V81JJSNQjRvK4PCBYqeAlkUY+Lo6VBg5sIzt98tBFoTTjnRtHGq3LHQiR7OyWONt6cLNoWuRbs7I+dLsUZZKDitmE76rhw8qI7HmOjmw0dMmjQaqAxrIzQ0t8B/vtrUrVjWGnM/5ezThQgahYZL//Na1P9XjUQnDxXKkRY/bIW8/d1vwZMXnyOyQdZWVMOFH34OSyZPhoONh7q9aH/xn9cFK1Qy4SgYPnUyqMauA12HtXVKkI2xvWMNa1OdJotYaehQZkQoUChCnTJQqL2DGyHU+bmhxUO496PFYoN48YSxcEwXjj/KKjrtpzeJsQwYRvfvu37VbSAdgdYustk7jfJ6fQYGMoMSzmIc0t4JvWC/8dAfxeNv3PYjGDo5ukAtx7NQwoi1QvUnyPygiBALrLpy/4LYHco3bzPZBNUuAbxoozgyEosSyqBQe6diy7aIOSDhUGfsAjEiXkYEfHfJst+aMFa4H7ocFNjUBKf/4Brx+NOnX4CWKKamEmrJySOjxWMUKOjGQncZATMXbp01DVbfeA3MHTVMhJb98sPPYNZjz0J1jp9CrzS0Fl0BZ0t9+ZZfGEwpuqqF7HgRw9cbynKi3RaLasEQGcdcLCJ2AhUz2NpSPZqDhLJ4wQ6Xo0Ftg72GxXhIDAFtVqh02hFQtP+88XffN+fEiM/LMWzGGcOHwf6KSjFjB4voaFFtjCSRF9Zm6PdYg6Ing3IgTHvHCtydrn7nA1OPovIiRmzB0BAKGfuiuPjhQo8Jstb2DlKG0V6wj9TXm4r5ojGjQBcWZVIYJ8+QkJC2eBw8CGyNkDNC9tBAK77YUw4bq2vFxe3So/2D1CJlLAycOkVkSRyur4dFz/vn00QLavHIKFCwbYWFpjVNFsP3Pv/+lfDwWaeK1/rJzt0w9S9PwcOLlkNbR4eZYxNNgYL4/NmXxP3E004yE1lVAZlYuhiHtnmIPfmqqtYcIkd5ILEUKMjs4oVPh8C2zfvqoL6pGTLSUmH8oNxuGZShMTp4QjUoKOxWuXHCdFkcOYLjKU4M44TDjUVKkp8HONjSCk/ceDs01PoD7aJFrcFw4muVImSnrCJmUPQCZlAs2V0GawzRYFf4z68fEhd6DAu6/Df/T9o47FDQxTjU7kbtHZy9g68raPGLgT5GlFMeiqHn0GImTxihbGiLx3TwxKA/CaWQByps81hZlO+FEctmWca4TzPajYue+4+4YMWzAEpLkzXaknjBvn/OifDF/3xXTMFF59z1b7wHZzz1EmwzmDJE/sjYChQ8vjcv/kJoOU688lLQpc0zIkKBssySzxPvOapL5D12LVZVVEXUoZDNGHfp6LSic7Q0BoEsouXIEbPdl1usrs2zY/9B+IeR/ozHcijONfKIWpOT4Z933guVW7fH/H+0NgUYbxltHpINIDubrnhQLLd4LFi6pxxO+cfzcO2rXWdHIPAi8LShRxl/8glw8tVXgNoslOwu2ztB+QpdTDHuyslDi4muQlmzxRNSoMTKoFinGqvscSOeW7tRWDdxsZ8SwhoNzPC3DJraO2DQuDHQdOgQfGawB/EUY9gekGk1fvGy8+HOk46DlOQkeGXDZpg0/0l4atVXnZ5P4k+6CEeDTw3L8cwLz4N0xYmY5kyeCAXK8r1+9gOnhtMFKNYCpYqEshroUCJNNsZU63yDNUMXT+GYUWIYKQqCaSZULNBBh4J48LOlQrd4wtDBcPboQIGY1qc3nHHZhWaoIBbN8aKWdCgShLKYfnzEiCdQPZOHC5QEgMKu1387Tzw+59YbYNiU7pM/7UapsTuzMihpyclwiiXenmBOMY6ZQdFpJo+fQRk/aKBY8KxUKoXsYYosUvuY7YHugFhfr7XHLSthNeLfcfgIvPG1Xwd07bSjw/a2m1DL0asXLH7+FdGSixVWq7EUoaxBIWM7p6y+Ab71/Otw+Uv/NfUpVuDgPNIZUN5HNNiyZJlok/TOyoRjLzwP9EiTDQhlUZ9BF/DllmMN28ZYaFKLMVoEphprEHlvCmWD22uUfYMFN4q6YxkQqKPV2NoS+cvy1eLxr+ecaM7QKho7BjKMVnpllI6sSKiWHHlfrkmbhwuUBIE+9lWoR0lBPcqvpcdsm3H3FgYFbam4+OOFYH2VP301XgGe1cmDQVCqA7CQLj/Y1CxCzMZZ8geoQMNpuTi4zBTIbt0u7KduZVCsmSiXH30U9ElN6ZSB0pqZKUSxFPceD8gpIKMg+2DbLnGRemzFGpg8/0kRHx4J1PLAXBcUwEYLdEh89qyfRZl95SXCwaY6C8Uad3903iCh08C2Fuo2rOdndZQRAOGsxqrD2qwFysT8gUEtAlN/Ylz8zATZGNs7uliNrfj9ouViXZpcmAffMoaTDh4/BnobzqTQmPtYUSM5CyWQJssFiuvx8n0PCaV1/4J8+PZv7pGqR6GZMzj+u7+Rghs6vRiRnTdI7CbxYh0rnbq/vFKIL3FoIglttRDKWuL3Tf3JwcT1JzppUCi5Et1LyBBdZGmzkcW4KS1NCLcb6zrP8ogWgch75xmUp9d8Bf1/80e46a0FUG8IZiOhwKDMqYURC1b+911R1OAOe8Ips0GlTiE0TZYGBC4vqzATcQMbiNhfK7GE2QNzlYr26RysbjwsEnKtYynIwYOsmTWgLVb9Seg5qkOBggXIHxb7E2ExFwWFsYPHj4M+LX7DRZ1lFEU8qNlFVmM5OjESMVNRqQrMoNiA5sOoR/mloMrHn3SC0KTIArIFNYYoknQoYfUnRmGBzEA8jIKOk42PtuhQMBsFscco2MjBE80E464YFCzsZAzp6gp4AXtqtV+Id52lzTPWyKY5lJIKnzz174T+D7IaD5Lg5EFQ0m93oJZFxbb4xIVL//O6eHzSVZcpb/Fg4jO1JY8tDs4/saY8x9OSRNEoue0KFAtlrYFtKH4O5+BBvVPecP9Gak+cLR5iUHIUt3gIj36xUhRmowfmiIRZZHHTDXeWdW5UPKg2GBR02slgA0ko68kWT1FRETzzzDNQW1sLhw8fhnXr1sG0adOCnnPfffdBeXm5+PmHH34Io0apt7Amgoot22HlW++Jx0MmTVQ21RhpfwoNWmihiuOxL1pRpnmiLBVnJBrG3Uu8AlkEhp3hoEgc0qXaqop4evUGkZcxe1gJjMkdIL439bgZ4r50bznU1wRaefGAnDwy4u5jAV1s47loIzBZFgde4tTYwQb1LhuorUHRIaaOUityZkhAG4LYyUrLxiIWEPNCYW86BLZZhbJFhoMHo9SHTBxvWtxjad1ZUUdt2KJCpS08QmNLKzz0uV8Ie8+px0PR0BLoTQxKgi2eAxVVwpCBmyV8vT1lYKDtn2r//v1h8eLF0NraCmeffTaMHz8efvrTn8L+/QH6+Y477oBbbrkFbrjhBpg5cyYcOnQI3n//fUhP97co3Aq6GMpOXaWLMrY5ThsxRMTbYwJnVeNh2wqUcg1n8ljpY2tIW/aggSI+u6O9XYS0xQtdXAK0o3l3i18Iee20SVA4ZiQUGTkT61evTfj3y4y7jwWmg2dr9AJZK+qra2DtBwvF49kKg9t27a832zwD+vSGscZnRwWKSHk2GIVo52TpHHm/wmBzrAzKYJNBabAEtMXX3kEcrKkV6bMoLFY9bZ3w2JdrxYZxcHZfmLJ7NyQbF/pECxSfzxc4R4eVyGvxGLOTPFOg3HnnnbBnzx647rrrYMWKFbBr1y7BkOzYEVhgbrvtNnjggQfgzTffhPXr18NVV10lWJcLLtBnTHo8qDBSV4vGSC5QKAulf7+w7Z1Ypxh3GXmvQRYKJjgimzAoMwMKjQqfBibuOVBvsjxYjMWS2BipzaODDsWaifLdyRNgzNQpZn+7rDox9sQ6f0hYjSPEsssGBnChrgtRGedxS8m6iClnnS6KVxXYQULZnH5mDPzW2jrzwpVTXCQst9bMi1hRpVHkPQllxw3KNVOQSXCJFz9TfxJjQJsVGDZJbS0dNhGI5rZ2eODTJeLx9M2boI+xMQ833DJWVO+UJ5RdtHsvXPbCG3D7ex+BpwqUb37zm/Dll1/CSy+9BFVVVbBq1Sr4/ve/b/58+PDhUFhYCAsWLDC/V19fD8uWLYNZs8KPrk5LS4O+ffsG3XQEOkY6OjqgX/4gyMrx0/AysNsc6Z5tFig0fyeUQYl3d4b/DncreAEbEGFSqSxg8NzWffuDhLIkksVirXh8YvqTzi4BPdoe727dIRb3vKwMOG9CwCFgx+KH6bmURiojUTYaFBitCrRANxk70Xiwd+Mm2LlqrRB5H//ti0BlFsrw/v06DQhEFBjnLV6EYhnLEJ5BUa9BQRsxaW+mFuV3avGYCbIJMCiIfWV6WI2teGbNBqjwAfRpaYFRrS1mtkiiqJFoNcacmte+3gprDbbaMwXKiBEj4Ic//CFs3boVzjzzTPjrX/8Kf/rTnwRLgigo8F/csHixAr+mn4XirrvuEkUM3crK/Ls9HcWy+wwarmjsKOkalJOHlcDgfn1Fv3vx7sB7hKp+bHlYq/BYgcJaWgB106Gg8JAyFgS9SgLZGKajdsWg6OASIGEpOmAQZ2X2EQsgXQzsQCDyXo82Dzl46LhLBJ8aFuzjL7kQUhS0kq1DA2eYCbKBAiURBw+B2rd4rsuOOwgHmi803dBwkYvncGaGYOlww0MhkPEikIWixzlK5+lHxcHnkC0Myq7dUmfy6ADbCxQUFSJr8stf/hLWrFkDjz/+uLih3iRePPjgg5CdnW3eiov1qZYjiUkxpEcWyFqbY+RifLZrr6AaQ9kTpENjGSIXMbBNgwLFqkPBfi/qbjDNES/W9PfFK5DtZGPUpMWDeMpo84xuqIfsRj+rsC9BCyPB7HFLsjJ2B7poRxtx3xW++ugzwYjhhXHauWeCbOw0ovtH5PSDY40WT5BA1ghRjCUtN5yTh1g/1ZH3oYmyOH28t5Hhkzbc/7licdJuJJZ6ZROBSE5NheqpU6C6X6BVaguDUsoFSsKoqKiAjRuDbWNff/01DBnir/oqK42pnfnB46nxa/pZKFpaWqChoSHopivoIi6TQSGRLCFUf2LuznbG194hUMtEJ6EsMigkkN1zsF6wReS6KU+0xWMufvoUKJipsbSmDjBpJ6293bbdGYLycXTR3FCrglJSEwG2TWiIooopx8SgYEGNGwlkOSnPxzqGIt4WLIHcTjpE3q8wChQc00CTcdGGW2g4eBJt7+hoNUYUjh4h3DafDAtkRtnBctYYDAoKgjFhuSfAdgYFHTxjxwbb+caMGQOlpf7Wws6dO0URM2fOHPPnqClBN8/SpUvB7TDdLhLFpAeamkWKIWHB9tLwAtkEdmfBxZcGBYoRBT46dwCMHZQT0J8Y7R1kA9AmnAj2V1aK1lZq73Rl4spw+NgXHARoW4tHYlhbTAWKDS0exPJX/yti5PH3jj1+JqjQoKDVGLGyvEpMakZgsGOiLrtOkfcaMCiryiuho8MnIgCOKSwwhwQOmWRngaIfg0IRB59X1cJDn30hUmarYxzgGQ5H6hvMAYkynDyeLFDmzZsHxx13nNCNjBw5Ei6//HK4/vrr4c9//rP5nEceeQTuvvtuOO+882DixInw9NNPi0yU11/3hyq5GdTiQcugzF436VBQRIkuFysoACrR3RkVKOjD75OdrXz+BQbU4YJPA7owpM2u9g6io63dnFGj0wK4e/hwOGKExzW1tomwPjtgxt1roEFBDQWmotpRWBOwYP3yjXfE42POmQuyMzKQPSBY9SfoVErPyBBzo6hIjBdm5L0GDAq+5s21/gvqN8eNNGPu6RwtXRdfQJsVdYZIFk0JqodCEmiThGvQPQsXwS8+/My2311LQwMlTDX2ZIGCDp4LL7xQFCZfffUV3HPPPcJW/O9/B5Iuf/e738Gjjz4Kjz32mLAiZ2VlwVlnnQXNzfFbQnUB5i5g5DjOrJFJs5IOJbS9E2wxjk8ga13gaQGV2cLqTiiL2S8BgawRcW9DgRLk5FE8NNAKpMg3GS1Tu9gTammhC61P3yzlVmPSUOD7j9oKu7B5yXJxXzLhKFDV5kEs3+M/rqztHaTwsShOBGQ11qHFY02UJXfhweRkYafGIMR9CRZjNFWeRjygVVsHUCDg3gRF+joMDVQNR+L33n77bZg0aRL06dNHBLU98cQTnZ5z7733CrsxPmfu3LnC9eMVBMSk8lohL63fJIYDYlCQFbgzG2DQq4nSx7pG3vdJTTULlGKbHDy6ivBwp4gam/UjRogR7osNYasdQFfFQaN1pjqwrcBGgawVe77aaBbteG6oGBpIM3g6byASPz/xd2CRiceJzKiD7oSyOBgR0WQwr7uNz8EOBOIA1OtQklKSoWiMf/O2d8Mm239/DQ0NNEL9vA71+cAeRDkFtknUajy//msY8vu/BjkDEJROidNgj9QHi2ndHnm/PsSjX9HcYr7eRDNQCLTL08XJQzv/rTV1MPz3f4Pvvvy2rb+fZvKo1qEEIu7tLVCwh49tO3QbUl6OLFAuyN6DDSJnIjTvJdEWLEIEvRltDx3aPF9aCjFEuxG8tzuBgLZQ1GmkQ8HZUSiQRb0I6WPsRDVZjTXRiTkNLlAcQNnmLdqISWl3Zsfip13kvbHbJ7QM9Itl8QKUyGTf8C0eTQqUif4CZff6jbZpT6yoMWbyqA5rowKlwmYGBbH7q6/F/RDJbR5iEyK67GzS2tDkZx2EsuuqaqDF0rZKM+zUpXEOCNT9HKUMJjs0cF05eXpKFgoXKA47eVChrxJ2uQMIZZv8J17+8GHKp/xuqq0zFz+Mvk8eOtT2xUE3qzEVKHs22LfAW0FBg7oUKHSxtRN7jAKF3ktZeGPTNpj75Ivw0/c+DnuOVtp0jlKWCv1elcA8JqudOtkQd2KBbRcCVmP1DIqZYu2A/sQ6jb53ZqZWzkKnwAWKA8DR2Dh5sndWpnLhFgnw7CpQDlbVCIEbDuii360Kre0dsNGY4ovD9AodWByIpsV0Ttmaha5aPMQCOMagKKSQKQkVhz1WxZl83BX2bFBToCA+3bUHGpr9CcAIvMjg+Ah8rbQ7ThRmFooGDIpVKIs41KePeJ12tJs7WY01EMmaAtmN9utPEFic0PyhnsCicIHiAFCJT7sY1W4XZDrspI+DdCgS03K7E8oKgew4ex085FzCggyRY0SUqwLOQMKLd3trm8nS2Y1AWJs6BoUurLhbxBlBThUoyIqpjoQnlgNzexJNVe2UhaKBBsXa2mry+aA5NRVKbcg/CRd3j+JxnAqtCknJKJAd7WiLp6clynKB4hACWg11F3FswVBf1i4GJcjJY1h6VYLcEFvqDpi9fLsXB12GBpYYCZzlW7cJx40TwNdKVmNVLpBAgqz97R0EDh4ktmKwAruxFWaCbIIpz1bgvC38DNEqnpWr3snz6c490NreDmWpaZhKZ2t7B3GgqloU7bje9VPY9kCBflqf3iIMkAp9J1DTg6zGXKA4hHJDKFusUCiLND1W9SKBsHafJ0XAT636Cq595R346+4KkT2D4lhsQ9kJ08mjuMdNok7SUDgBLHwonE5VYFv+KGcsxrq0eazINxw8lWHyixJy8hhFNbpKVAPzXybNfxLenHW8+NruAgXHGNSV+zcqOQqFsmbEwaYt4PP5HPt/qnuQUJYLFIdQpoHbxW6BrI4i4Jb2dnhu3UbobbAndrZ3dHMJlBw93vECJXiqsRrGqHDUSMcLFFVOnlDYMcW468h7Pdo8BzKzIGXQQFEAU06UndAhr4j0J2UbnRHIEmoMXVZPSJPlAsUhVGzxZ6FgSJqqWHinChSkkHURARMCEff2Lw46OHmwt04LoJ0hV10WKEMHu36KsW5OnojnqM3trEDkvXoGBTHUmL+DAna7tDbhZ/IUq7cYOySQDR1JgZobZI29DC5QHAKKK+mkUSWUzbc5A4WAjoOKrdu1yUNxOn+glhY/hQwK9pvRWth8+Ijtn2fEeR8KWjw4qRX1L6gpsMvVEskuj44IdNH0yx8EKiA0IjkDhF4Ei347oVvk/ZCjJ4h7uwWyBGppqWJQcANBmjwnBbKI+ppaoXPB4kQ1q+s0uECR0OZRlbpKIW2VNtPHugllMV66cMxIx/IH6gwGBYckoqZHpUAWW1hYIDqJWsNqnKugxUMzeNCpgAWEU0CdBjE0JRP8762qDcT+8krx9zjBoOhiNaYCxW79CYE2g6qyUDDZFWMIWo402V5sdimU9XjkPRcoDoJ6rSrEpHghJZW3Ezvuco2sxnnDh4kBZEcaGs3YaztxsLpG9M4x+0XVbnuIoT9xur1jbfGoYFAKHXbw6NTmIYGs3foT08nT3g4Z/bKhrzEVWhWSU1PNuWR2RtzrNI+HBLK4LqJo12nUmFONvR15zwWKgyg35sHIHBpIwP4k2u6woscdmhdFwKHtHafU8/g7KRxJVT4IBbQ5LZC1Wo1RYyTbpirDwRPq5BmiqkChEEUbHTwELKhJO6WaRSkZP06sReiwc2I+DYLmD2FOUFqfPuC1gLaIQtlhzKAwEhwaiK0W2WImU3+ys9SRizaKgPEihpoB7KWrBLWZ7BoQGA61htVYBYWMxw7pmGQUKMJqXGFYjUtK1GSgyChQiEGZcJQSN5pTDh4CsVCqdSijZ80Q99u/XO3Y/xEcqFjkuRk8kazGXs9CYQbFQeyvqITD9fWQkpoqfbIo/X92BkBZ0Xz4sDm3RXUeilmgbHRucSAR3kAForTCMaPEDvTQgYOO7UAjFWSDJDp5sEgwc0EkFCgV27YL7QdGzSvR2zjk4Am1GhMrpQqjj5su7rd8scLR/yfQ5pFboOBxSy0eaQxK6W4tpo47DS5QHIYpJpXcCkFdhtO9fDPyXmFarlgcTIuxcwVKLQllFfS4SX8igz3pFHkvUYeCUf7pGX2C2hNOj6Sg0EHZbZ7efbOgX55fz+SUqNKcaqzQaoztlmGTjhaPtyxd7uj/ZVqNJW8icE1A5xlGL9gd6RAJNbv2mC0tLLC9Ci5QHAZdxIski0nNCG0HTxhVxZcVuPNF+y1qbZy0pZL4VoWtLzDBWF6BYg4NlMgsFBgBbSTwlIFAm2e8EvYEY9qxPeEog6JwqOfI6ccIcTkWD8RCOgVVQtkSQ3+CLX0semWg5cgRcex4PVGWCxRpM3lkMyh+8ZSTFb0OkffU+xWaGAcvasSgqMhZCAhknXfwEKh9J5NBodRTGe0d1U4e08HjIMNZvXO338mTnS3yXlTqT5xu7wRtIiSfo8XmFHU5+hNCzc7dnk+U5QJFmtVYXlgbCleRVcCwK9ISOAHKHMFiKCU9HVRg1LHTpNhvySWAi73MZGDMViA9EcWzywDZGGWmyQYEss5bjAnESmGbUGbGjZMOHgImtpJlXFXk/ZjjjAJlqfMFiioGZfD4cVIFsqE6FC8LZblAcRi4Q2prbRUXNoy9lwG6oCFN7yTliAMIG/bViYWd8itk46jZs8T9158vdfT/QTEl5qHIFsri7iwpKUkM8LNz4GPUVuNMeVZj0kpUbvOnFMsAtgUxPwen0MoUspsOHodE7ATSoKmIvMf8lcLRI8VxtH35Ssf/PzOsrbhQqitLVsR9TxwayAWKw8A0TKJxZbV5KEHW6Uj0oKwXBYmymB7bvyBf6E+ctDCqHEhGw+xksie0+yarsYzANowKzxsxVDqDghZ8urDIFMrmGyJ2J1s81t+vwmpM7h20/6MDzWngFHNkjdHxlp0np6WFxRCG4eEmVOZxi6jZVer5NFkuUCQgkLo62tVDArsWAcvXoRw12z++fdvyldDWbG9UeNdTjQfLF8hK1J+ERt7LsDKi+BjTgLHYpHaa7DYPjROQ4WzBC5uMAoX0PCrC2qi9s9Vh9w4B9TYY7SCzzUP2YpxN5sQQxGicPChkVz1V3ilwgSIBlLpa6MECJeDkGaOsQNn42WIp/19gYqo8BoUumjItxp10KBIKMmoRYmiZE8GC0Qa2yQDteLE9evhgvaQWj3wGZcxxx4r7LV98Ke3/lH2OminWDmYwRUJdeYWw5GNh378wH7wILlBkMiiSWjxOTTEOB0pvxXYL0vSygN7/YVP8+QqbFjmrP1GVs4AJvbTQ7pHc30aQwFoGg0JDAmU6eEILFNRLYHtAmv5Ewrwh1NhgmxlzOmTOkcIiDP8/zAbZuXqdtP+XWE5ZeUWmQFZBgeLr6DBF0HkejbznAkVi5D3SjhjQ5PRFDW9ihLvRo3R6l420PLpNZGaEjJ11rBDn4gXNiVlDXWlQZEVpl0wYZ+aCNDU0gmzUlsobGkgaCdl9fAS2BZDNwLwOGTqxAnLwSNhABDl5JAplx8zysyc7V62V0n5VZTUm7Z1sB09noaw3E2W5QJGAI/X1go5DFI0ZJWV3tr+8wvYR7pGqeMwgkd3mGWe0d5x274RjUFCYixNancaQifImGHelQckdUizPYmyEi8mGzMGBgSnGclJHiZWSGXlv2osl5J+oshpjnAMmuSJDRWugbNQaVmOvDg3kAkV6HspoSe4AOYufVShLkexOAwVh4048Tjz+WpL+BNG4b7+YQYS2X4xl97L+xLQat7cLqzEuxE4OQySKunKrogJFYqIsuexktHis/48sBiUpJRlGzpgqJd4+otVYAoNCAW0iSqKlBVSg2uNDA7lAkdzmcbxAkUgfE2gRmjT3VCn/3+AJR4kLJkaE71wjr79tbfPIyEJREXEf2h7YT1ONHdSh4O/G9gp+npj3ogKyEmUx0JDaD7IKFNlTjYdMnAC9szKFtZhE9LIZlOyBuSLbxosBbWHTZLlAYdiRF+J0j1umQJaAbRa8uOQUFcKwyX7hqoxwts1LlkmbfSHbaoxtJEEft7aZLjAVqJUwk0d1e8daBOJCn56Z4dj/M2hoidBOoXsHdS9SWzySCpQxRv7J1mVfSndkoVaLnFE5xUWSAtoUFiil/gIFQ0BTe6tJ83YSzKBIboOgnRIpUKfp48od8sSGKIL76qPPxOMpZ5/u+P931EmkP1kCsiErrI3aZZivIFNkGIpaCTN5qECh6bsq0Fi3X+jEsH1HO2MnQCyGTIYTJ1NjoYusBuomnMZoM95ebntHttV4MM3gUVigHDpw0AzBkzk3Sxa4QJGE/WUVIlIbbYx5hk7EblgXIJkMCmL1ex+K+8lnznF0pgnGrpN4dNOiL0A2ZFmNVbd3QgsU3Pk7fdGuUGAxDtfmcVIoK9NiTEARJ+20yc7tFNDNN3TSRPF4q2SBrEyrMcb44wBG1GiVb1HHcCJoirsXE2W5QJEEpDrpQHZqcCAdoDgzxqkR7pGAuyWs5LH3iyPWncK4E2aZuSAyZ9N0ZlAcLlAo4n69GgePzLA2k0FR2OKRlSgrY8q4Sh3KiOnHCD0RZujUlfmdi7Ihw2pM7R2MAMCYBZWoNuIknNxEqAIXKBJRYQhli8eOcX2CbChQC7Luw4/F42POnuv8cMDP5Ld3ggeSFTnqUqICZc8GtQXKPjOszZkCBRlF0rdUKHLwyEyUVcGgiP9PUuS9zOnFKq3Gg42MIpX6k9DIey8KZblAkQgSOzollKV8BdntHcLqdz4Q90fPPcWRnBDU7ow9fqYy/QkCQ+GQ1k3P6OOY9RYXGmzX4c5Mpl08EmPkf70ZgtZ2glEwRaMKGDEraGggzsnBsEMn7NQUeie7QKH22fBjJjn6/4yZNUNpeye4xeMkg6I2oC3s0EAPZqFwgSIR5ZuNyb8OWY1NgazkxY+wY9VaMVE0IzvbLCTsBDqEMOL+0P4DyrJBsJ9/oLLaUScPtRjKvt4sigOVwNdLA9iccPIUGOFhFdu2g2pgW5TYRyfsxvj+CTv1oUNwoMp/DMnCliXLxf+Lxe/omX6Xjd1ATQYyNJhivXXZSlAFUydWXOTYEL1AxL38ERSR02SZQWEkAIzxxgUfd2dOzMWgDBRVDAqmyq75YKF4fMw5cx1r72xa/IX4v1TBaScPiTRVJchGFMo64BLIH6newRNWKOtAm6dg9EhxX73D+REUocCAwZX/fU88Pv7bFzvyf1DhgxdtTM9WBczSwXUWbbdOsH5ZOQNEDAAWYrJzXiKynB0dYt4Smgi8BGZQJALTBlFUhSgaM9r2ACjSRVTtVNcWWP2O380z4ZTZtgclHXXSCUr1J7KcPKoTZCNajR0Q4dEUY1WsXyhI8+OEUHaqUbSXrvsKVGDxC6+I+4mnznbEbkzzd7ZKnF4cSQ9HgX9ObCKKDYEs2rex8NPhurLfGKXitTYPFyiqIu9t1qGIAKikJOGkwUh2Vdjz1Uah4EeNxnijoLADuGPBabPY8sCANq8WKKhToKnXuzUpUEwnjwMtHpoPU7lVfYvH+p7b3eLB0QjjTz5RPF760mugAqh72bZ8pdD8HHfpBbb//tFGQJuq/BNZVmMzoE0D/YnX2zyOFyh33nmnsNjOmzfP/F56ejrMnz8famtroaGhAV5++WXIy3M+QEgHECVo92A9sg+qau9YsebdBeJ+io1unnFGe6d03QYzKVIVah20GheOGSmcLfgayUGjGoGwNnsLFGTYyL6sC4OC5yeGmqEAGotiu3DCZReLwgAv3ipcdqEsynEXn2+rkB3dSf3yBokBpbvWrAfVcDKsTYeAtkhZKIOGcoESNaZPnw7/8z//A2vXrg36PhYr5513HlxyySVw8sknQ1FREbz66qvQkxJl7Z7JYw4g06BAWf3eAlMz0rtvlifsxWFzFhxgUGhYHTJRusCpuHsKLMTIdxQ+6wCkyzG9187hl6iFmHnxN8XjRf/+D6jEVx9/JoTsWIBNOv0U2+3FO1atUTY4z4o6B63G1OLBLCZdUOPRoYGOMSiZmZnw3HPPwQ9+8APYvz/QcsjOzobvfe978JOf/AQ+/vhjWLVqFVx77bVwwgknwMyZ9js/dG3x4MUNrZt2AJXqE087yf/7FY39tgLpelzkkQk4es7JCf8+/D2jZ85Qai8Ox6A4MZCMLoq7FSfIhi72TliNC0cb+hPFCbKRA9vsafNM/caZkNEvW7QdNiousFGfsfTl18XjE2wUywbi7dXZi8NnodjLoPTJzjZ/Z5kxX00rBmUYFyhR4c9//jO8/fbbsHCh39VBmDZtGqSlpcGCBf5dNmLz5s1QWloKs2b5d8mhwOf37ds36OZW4E4RdzCoF0FNhR2YcOpJUDRmlIjSX/X2+6AD1hgsyjFnJT6bZ8S0KULTggm5VOCpRNBAMpt3aGbEvSb6k1CrsZ1pleTg0a5AMdgruwLbTrziEnG/+PmXlbrPCF+8/IZoYw2fOhkKx4yyJZ9o5IxjlOefhHPa2Z2FQu0dbHviOqALqo0sFGSMnJz15gkG5bLLLoOpU6fCXXfd1elnBQUF0NzcDAcP+gccEaqqqsTPwgF/T319vXkrK/MffG5FmZGHYpdQdu7/XCvuFz3/HzhS3wA6YLWhQxk1c7qw5SWCo2b7hwNu+nwp6AIUAtu9Q0vr08dMA1YdcR8KdCzYHXlfQAyKJvqTUKEsZl0kmqOB0e+4eWg+fASWv/4W6AAMxFu/8BPx+ITLE2dRhh49AXpnZoqBizpsIKwMCupi7Jzyq1NAmxX11bXiGMOcHaenOLu6QBk8eDD88Y9/hCuvvFIUInbgwQcfFK0huhUXOzsHRZZQ1o4CBa23WNWj3e2zp18AXYACT7zIoitl0txTbZlerJoeD9vjtlGHgp8jCikxxEt1qmooahywGpOwu1JxxH04twum+GKuRKKU+YmXf0vcI7Opy+bBKpades6ZCevEqL2zddmXwhChAzCHhd7vnKJCTwa0WYHvO20ivGQ1tr1AwRZOfn6+0Ja0traK2ymnnAK33HKLeIxMCbp4+vXrF/Tv8N9UVvpp5FC0tLQIt4/15gWhrB0zec644TqTPlbtbok04TiR2TwozMS2QltrK2xdpgd97JSTx5y/o1F7xyknD0b5Dyj0M6aViocEhgL1NqQvSKTNgy4g0mAtev5l0Ak7Vq4ROjFsnc44/xs25Z/oc346ZTUmgSymPOuGajPy3js6FNsLFNScTJw4EaZMmWLeVqxYIQSz+PjLL78UBcecOXPMfzNmzBgYOnQoLF2qD4XvJIgGRQ0K7pjjxdgTjhOiStztfaoRe0JY895CkXCIGpJ4g6GovbNz5VpoPqQ+FMlJJw/pT3Rr7wS1eGwqUGhoHrJFOvXyOw0OTEAoe/xlF4nzG5kFXXJerFj8vJ9FOeGyi+JuZaVnZpjCbl0Esk5ZjbGoJg2WDkMCI+YVDfPOVGPbC5TGxkbYsGFD0O3QoUOwb98+8Rg1JP/4xz/gD3/4g2BWUKvy5JNPwpIlS2DZMrUBXDIFXNiSwd5oIgs+sSdLXnpV9H91Q311Dexc5beYT4lTLEv24o2fLwadQAzKQDsZFBLIauTgIdTYbDWm9g5N2dUNgUTZo+JOdj7OtBbrxZ4QVr71nhDWi/k8RsharBg5fapo4+LFkYTUusBuqzFlV9WVVWjHVnt1aKCSJNkf//jH8NZbb8Err7wCn332mWjtXHTRRdBTgEr+ii3bEwpsw7kXw6YcLYKRPnnq36ArKPp+ShyzeVA0OnLGVO0EslaXwIDiQuiVlPhplNm/nylA1bFA2V9WYVqNcShcoigYNVJLgWyoUBbbsPG4Io45+3Qxc6uuvAI2froIdETLkSPw5ZvvJGQ51mF6sSyrsa76E0L1Tu9ZjaUUKKeeeqooSggonr3pppsgNzcXsrKy4OKLLxbalJ4E6nHHK5Sda7AnX7zyhnaCSivWLfhY2FRLxo+LWWA5euY0kYGCVC3NMNIFaHlGXUxKaqotc00GG1oHfJ06tjzwM8SLrV0sCk0x1k0gS9i3e68QWSLLWWgUU7Fg9hWXivslL7yifCJ1V1jyoj8gE2P440nODeSfqI+3j9TisctqTBZj3Rw8hJrS3WY+E7ajEoVTk6BjAc/iUT2TJ46hgWhdHDn9GJHY+PGTz4LuuS9bjN1VrGLZcYb+RIf02HAsGFHIdiyAOrd3CLWlJJRNvMddYA4J1LNAQVcEJYXG2uYZfswkKD5qjGA3l736X9AZWBDjcD/Uysy69MKY/i1OZMdWHerMtq1YBfoyKMW2Mig6CmQRqNGrr6m1JfIe2b+f/Odf5oBWVeACxYVDAyn3BBc/DH3THTSbJ9YCZbxhL9YhPTYc9pX5F8CBNghlh2g2wbir7JdBQxNjUDBVldpEVdvVj2boVigbo5OHgtnQWqyjViEUi1/wa2RmXnReTPN5KN1574ZNWlmoCQcqKgV7hWnPGO2fCLC1SQywrgxK0NDA4fEXKKgpuvoP/yvGsZz/s1vE16rABYoioMUPTx6k42I5eYZNPlrMvcD2wkf/eAbcAAyFam1uFiFk0SZXFoweKShn3IVuW7EadEQgrbLYkwmykZw8uQmGtRF7gmJDHcbVd5soGwODgqzC0caMm88Vz92JFhs+WQQHKqvEOjT5zNNcOb04UlvyQGW1LSxK0dhRIv0bXWcqp8VHP5MnfqHsRb+8XTD0TY2H4Mlb7xTvoypwgaIIeOElW1hRDELZ02/wsydfvvGOWFTcAKQeqU0TLYtC7p2ty7+ENpsC/5zqcZdMSCxxFDUsWKjiQrBXo/kekZw8icbdk8VYt4j7UFCxiAVVtGmk2CbBHef2L1dDhQZzsaIBbpSW/seYz3PZxTEPCKQWro4wdSglRZ4WyHaeahzfOYrs33HfOl8cE8/ccY/y4bNcoChEuXExKo6yzVMycTwcdeIscSFb+I+nwU2gCcfR2o2P0lh/Qti1ep24H3v8TLhu/sPQJzu+GVG0Q0fBqK7FmDWsLREGBRkGSlet3KZfNogVuFuur90nCo5oQhVR0H3cxedrMbU4VqDYHllZdAZG4yzEog3bdJjBtGvNetAVxHImyqCYAW0a5p+EbfHE4eTBwL3z77hVPP7vH+Zr4ZzkAkWDRFmc1RGL9gTzC0ig6RZ8/dliaDp0SFj+hk6e2OVz8UKPCyVi0yL1J0kkYKDav3/xa8GGjT/pBLjthX9C4ZiRCUww1i+gzYq6snJRHGP6aDxWY2zb3fLcE+Lihi4o2rXrjFgC2yafOUe0SZDZ/Oqjz8BNwLbFug8/jtpyTO4dTKRtb20FXWGX1ZgcPHs0L1BqjCwUFMnGwupiQXPV7x8QYunlr72lzdgULlAUonzztqhbPOgKmHDKiYJ6W/j4v8BtwIv4ho8/j4pFwUoed62YkYE6BZ2x8r/vwqPfvV4shJhjcsuzT8Ax55wR0+8omWAIZDVMkLWio60d9pf7w7hitYyPOnYa3PSvv4l2FrZ2/nTlD7T/bK2uqmgKlNlXGlOLX3hVa2txJKAlGoHHb3dsoM75J+ESnxNx2mF7j4Z46urgIWAUAE6qRmEwDkqMBvhZf+9RPwOMwZov3/870AVcoGjQ4sHqFQ+ornD69X72ZPW7H5pUu9tghradOafLcDPSn+jc3gnNtHnk29fC5sVfiM/xOw/dB9+849aoAr5wlzN4wrigcDCdQcfeoBiyUKZ+4wz4wd/mieF7qM2Yf/UNrtFPmULZbpw8yAric1AMvuyVN8CN2Ll6nXAX4jE844LI83lw84AiSsRmTQWyoQwKjhWZeNpJcY0WQTcL/ju08JKNV+dNxD6jKBs0vHuhLK5RyJzgNQiLm6d+fJdWjBgXKArRsK9O9LhRHU7OhnDAtsGk008ReQMLHnsK3ApU+6PtEtsDtMCFu2CPO3GW1vbicMDX9fiPfmp+Pid/99tww+OPQlbugC7/HS4MeOHGXj5O0dUdtTFG3p/2ve/Clb+9TwTaYXH99+tv1dKS2l2LJ2/40C6n/pK1GF/joQMHwa2gKccolo3UIhgyaYKw3eL6peOMIStE8GHjIcjIzoZr//gQ3P3+a3DWTdebgyqjwWBDf6KzvTjeoYHn/+xWwVijm+6fN9+h3cgULlAUo3yToUMZO7pb9mTdBx9pl6gaC1C/sPbDj7p086BaHvv4uKiQCNUtwPC2dx/9Ozx568/F349F2E9e/JdY0COBduZIHbuhLWAOJOsmrA0ZMrQrfuO2H4mvP37yOXjuznu12p1FAyw2aBeOacjh0HdgLkyee5orxbGhwOwWLCCxAB1z/MwupxdvW/alCLTTGXjh/b9vfRc++sfToqBCkTZq+X7x3ivw/b/8H0w4dXa3rEogoE1fh50VNUbkfXdt2FmXXGgW1v++6z4tXWdcoChG+ZauCxTsfU6ae6p4/KGL2ZPQNg++pnABQNTe2bxkmVL/fSL46qNP4Y9XfE9Y9HBBvPGpv8Jxl1zQ9QRjjRNkw4W1dbX4Yc/+mkceFGJLZP1ee/AP8NYf5mt/MYs3D2XWJRdAcmqK6N+75SIWCcjkrXjDmM9z2UVd24s1m14cCah1evuRv8L9p58PT99+t7BFI2uNTsHr/vS7blkV1P+5wWIcGnnfVRYKzji78K6fiMfv/PFv2oq6uUDRhEGJZO07/fprxMmECnvd6dRogKp/dHBgmmi4HRrF2+tgcUsEyHT98fLvic8N2xuX/L874dL7fiGsqG4LaAsX1kaDDcNFZP/wifkw8dSThDD66Z/8wvWsQleJslhkU0S8218nAaejI446+QQYUBR80cYZL3TM6px/EpHBfX8h/P0Ht8CD37gEPvrnM92yKni+Foz0t9/3au7gidZqjJZrTIrFonrVOx/Awif0NV1wgaLJ0EDUmYQKR3GXSo4XN2tPQtsga9/3t3mmhkw4zsoZYC5+mxZ/AW4H0sv/+skv4K15fxbtG4wSv/FffzWHsol8DaMwpV267hAugTa/SyA7xCWA+Si3PPu4EIxia+RvP7gF1i/8FNwOYrfCMSiYvIohezhyYt3CT8ALwLAv1Ivhxuj4kPk8uPPG4xaf4xahcySx99vz/tItq3LUSceLCzlqM9zyemuMAgWLy5T04IDB9MwMkdmE09MxJuHF//e/oDO4QNGgp4+0KorOckNmupz+g6tFJY/2XCpkvIDV7/nbPLhTsSZ0jj3hOLFI4E5Fd7V8LPj4n8/C4z/8sRiciDN3fvzikzB65nQoGD0CUtPT4XB9vWucWVarsdXJg1kutzz7mNAuoGYDrde71rhLQxQJGM6FrSpsAYSKnk+8/BKTdcD3xisgsezMi74ZxPq5IT3WTlblmnkPusJebAUWU6gjwrXUOicMN8Df+d2vxYBHLKgxxl7nYEgEFygaMAo4lydUh4I03NRvnCkef/j3J8FL2L1ug7iIYVGGY9472Ytd5N6JFtivn/fta8WEXGSKrv/7I/DN229xVXsnNPKenDyYz/PDf/xZvC7MDXn0Oz8wd3FeADJh1UbkN2XWiMcTxwu2CKeKf/GyO63FkbDx08Wwv6JStOwwgC5UIOsW/UlcrMrcCwSrglOeCTtWrQU3oTpMmwcF6xgoia3Xf95yhys2gVygaCSULbYUKHO+f5WgUr9etNQMi/IS1oRE3yNTNPaEmZ4tUBDIPMy/6gZY/vpb4vVieJkbCxRThzK0ROgvrnnkt6Llg5/bX669UexAvQY6B4dY2jwnXuGP7F/z3kLt7Jm2zOd56fWgZFkM2UO7Nf5s24qV4FWg0wxZlb/94GbBqjx7573wyb+eBzehJmRo4Izzz4FTr71SPH7h7vtdI/jlAkUnq7Exkwd7h9O/eY54/OHf/glexOp3PzBZExTe4U4UswqwDYK9Ua8CKdUX7/mNSGvE2ScInWeZhAO1o3DuzLfuuUMUW8ggYI5Cy5Ej4EWYQlljLAG2eqi49oo4NhTLXn1TsENDJ00QVluaXozvRVNDI/QE4LG++p0PtG+FRMpCGTSsBIZNmQTf+n93iq8/+Ns/Yc37C8Et6OzzZKhz8hgDyU677rtCmIVCtdK1X3nyE6nYsl1E2WM/9Og5J8Mgo9JHcSy2vbyOpS+9JlpdmCKr87yhrsLa0ImFeHf+Y7DAY23IUFDK7xDDyXPcty4Q7qxda9d7kuFEICu09oOPYNq5ZwkWJSUtVXx/yzLvtXe8hhqD5Rw2+WgRfIk6InQUfvCXJ8BNYAZFA6AGBUV4KMxCV8exF53nSe1JKDB1EzHlrLkW/Ym7LtaJAIXPy15503X5IDh1GWl+nPmBdLHXixMERsAj44WaDGxtkbtl0b9fBi+DxLIYrIhTu72qP/EaakwGZYgIvsS15vlf/tp1aw0XKJqI8Ggs+LcfuFvszLatWCUyQ7yMNUaBgoPHUCCMFz2cZ8PQGweqquGxG34Mj1x+nRnq5XWgLoGSNr9x6w/FIDYUGWK6s5eBDC6Gz6HbDouz5sNHPMvqegk1pQFXII5T8bdfm8Bt4AJFox2a1cnjVe1JaH8X6XEKRSpdt0HMtGHoD5xiS8dsTwHpUCjZGdt0bk07jgWLXwiwRDtWrXHduIKeiLbmZjH8EQvKp277uWsyXELBBYomsOac4IG1bbl3VfLhou+97N5heANWtxW2e5b+x+9y8TowbRSzehCoi2O4A3/93k3wwBkXuJrx4gJFM6FsT2FPCGjnI7g93p7hbVjnJeFx60U7dThgbsbrv30ENi36Ala++a7qP4cRJZDpcjsjzS4eTbBz9VrR8qjctl0MyutJeob//PohyMju66m0XIb3ULV9p1jw0b3kVWtxJKz877vixmDIRC8MMwWXoW/fvlBfXw/Z2dnQ0NCg+s9hMBg9BGjbzMzpL8ZPMBgMZ6/fzKAwGAxGlMDcEwaDIQesQWEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EdUtw+tpnBYDAYDIb3rtspbn6BZWVlqv8UBoPBYDAYcVzHGxoaunxOLwDwgQtRVFTU7YuL903Dwqe4uNiR38/g91km+Hjm99lL4OPZG+81/u7y8nJvMiiIaF5cIsAPhAsU58Hvsxzw+8zvs5fAx7O73+tofx+LZBkMBoPBYGgHLlAYDAaDwWBoBy5QQtDc3Ay/+tWvxD3DOfD7LAf8PvP77CXw8dyz3mvXimQZDAaDwWB4F8ygMBgMBoPB0A5coDAYDAaDwdAOXKAwGAwGg8HQDlygMBgMBoPB0A5coDAYDAaDwdAOXKBY8KMf/Qh27twJR44cgS+++AJmzJih7pPxCGbPng1vvvmmiEz2+Xxw/vnnd3rOfffdJ5KBDx8+DB9++CGMGjVKyd/qVvz85z+H5cuXQ319PVRVVcFrr70GY8aMCXpOeno6zJ8/H2pra0WK48svvwx5eXnK/ma34oYbboC1a9fCwYMHxW3JkiVw1llnmT/n99l+3HnnnWLtmDdvHr/PNuPee+8V76319vXXX2t1PKPNuMffLr30Ul9TU5Pvmmuu8R111FG+v//97766ujrfoEGDevx7k8jxcdZZZ/nuv/9+3wUXXOBDnH/++UE/v+OOO3z79+/3ffOb3/QdffTRvtdff923fft2X3p6Or/vUb7H7777ru/qq6/2jR8/3jdp0iTfW2+95du1a5cvIyPDfM5f/vIXX2lpqe/UU0/1TZ061bdkyRLfokWL+D2O8Xg+99xzfWeffbZv1KhRvtGjR/seeOABX3Nzs3jv+X22/zoyffp0344dO3xr1qzxzZs3j49nsPf9vffee33r16/35efnm7fc3Fyd3mcuTvA9+OKLL3yPPvqo+cb06tXLt3fvXt+dd97Ji7hNx0i4AqW8vNz305/+1Pw6Ozvbd+TIEd9ll13G73uc7/PAgQPFez179mzzPcWL6MUXX2w+Z+zYseI5M2fO5Pc5weN63759vuuuu47fZ5uvJZmZmb7Nmzf75syZ4/v444/NAoWPZ7C1QFm9enXYn+nwPnOLBwBSU1Nh2rRpsGDBggCt5POJr2fNmiWVzupJGD58OBQWFga979imWLZsGb/vCaBfv37ivq6uTtzjsZ2Wlhb0Pm/evBlKS0v5fU4ASUlJcNlll0FmZiYsXbqU32eb8ec//xnefvttWLhwYdD3+Xi2F6NHjxYt+O3bt8Ozzz4LJSUl2rzPrp1mbCcGDhwIKSkpon9vBX49btw4ZX+X11FQUCDuw73v9DNGbOjVqxc88sgjsGjRItiwYYP5PmNcNWom+H1OHBMnThQFSe/evaGxsREuvPBC0befMmUKv882AQu/qVOnhtUB8vFsH3AzeM0114jCAzeLqEn5/PPPxTGuw/vMBQqD4bFdJy4uJ554ouo/xbPAxRyLEWSqvvWtb8G//vUvOPnkk1X/WZ7B4MGD4Y9//CPMnTuXZ6I5jPfee898vH79elGwIENy6aWXCrOIanCLB0AolNva2iA/Pz/ozcGvKysrVX02nge9t/y+24NHH30Uzj33XDj11FMFZWt9n1GNT60fAh/f8aG1tVXQ4atWrYJf/OIXwtVz66238vtsE7C1gMcmvr/4XuPtlFNOgVtuuUU8xh08H8/OANmSLVu2CCelDusGFyjGgrNy5UqYM2dOEFWOXyOVy3AGaOmuqKgIet/79u0LM2fO5Pc9juIEWw2nnXYa7Nq1K+hneGy3tLQEvc9oQx46dCi/zzZpUXAh5/fZHqDmBFlAZKnotmLFCnjuuefE4y+//JKPZ4eAeqqRI0eKdVmX45lV/ADCZozukauuuso3btw439/+9jdhM87Ly+P3J0El/uTJk8UNcdttt4nHJSUlps0Y3+fzzjvPN3HiRN9rr73GNuMY3+M///nPwqp90kknBdkFe/fuHWQXROvxKaecIuyCixcvFjc+/2N7r//3f/9XuKOGDh0qjlf8ur293Xf66afz++zgtcTq4uHjGWx7Xx9++GGxbuDxPGvWLN8HH3zgq66uFk5ATd5nLlDoPbjxxhvFh4F5KGg7PvbYY3kBT/D4OPnkk33h8OSTT5rPue+++3wVFRWiQPzwww9FvgQfl9G/x5GA2Sj0HMyVmT9/vrDENjY2+l555RVRxPD7HNvx/MQTT/h27twp1oiqqipxvFJxwu+zvAKFj2ew5X19/vnnfWVlZeJ43rNnj/h6xIgR2rzPvahKYTAYDAaDwdAFrEFhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDoR24QGEwGAwGg6EduEBhMBgMBoOhHbhAYTAYDAaDAbrh/wMzDrbh78wkxwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Was Integration was successful? True\n", "The solver successfully reached the end of the integration interval.\n", "pysolve_ivp shape: (2, 175)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "def diffeq(t, y):\n", " dy = np.empty_like(y)\n", " dy[0] = (1. - 0.01 * y[1]) * y[0]\n", " dy[1] = (0.02 * y[0] - 1.) * y[1]\n", " return dy\n", "\n", "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "\n", "initial_conds = np.asarray((70, 64.), dtype=np.float64, order='C')\n", "time_span = (0., 50.)\n", "# time_span = (50., 0.)\n", "rtol = 1.0e-6\n", "atol = 1.0e-8\n", "\n", "\n", "t_eval = np.linspace(0.0, 50.0, 30)\n", "# t_eval = np.linspace(50.0, 0.0, 30)\n", "\n", "result = \\\n", " solve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, dense_output=True)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"solve_ivp shape:\", result.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "sci_dense = result.sol(t_eval)\n", "ax.plot(t_eval, sci_dense[0], c='C0')\n", "ax.plot(t_eval, sci_dense[1], c='C3')\n", "ax.set(title='solve_ivp')\n", "plt.show()\n", "\n", "\n", "from CyRK import pysolve_ivp\n", "result_cy = \\\n", " pysolve_ivp(diffeq, time_span, initial_conds, method='RK45', rtol=rtol, atol=atol, dense_output=True)\n", "\n", "print(\"Was Integration was successful?\", result.success)\n", "print(result.message)\n", "print(\"pysolve_ivp shape:\", result_cy.y.shape)\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "pysolve_dense = result_cy(t_eval)\n", "ax.plot(t_eval, pysolve_dense[0], c='C0')\n", "ax.plot(t_eval, pysolve_dense[1], c='C3')\n", "ax.set(title='pysolve_ivp')\n", "plt.show()\n", "\n", "print(np.allclose(pysolve_dense, sci_dense))\n" ] }, { "cell_type": "markdown", "id": "25e80401-08b9-45c1-9551-425d85fe6fbe", "metadata": {}, "source": [ "## Events" ] }, { "cell_type": "markdown", "id": "e2be1eb8-c40c-4e96-9611-ebed459cecc7", "metadata": {}, "source": [ "### Events with SciPy" ] }, { "cell_type": "code", "execution_count": 16, "id": "310ab5c2-9c8d-47d5-a617-88b5f3bc0604", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "import matplotlib.pyplot as plt\n", "\n", "# Example with SciPy\n", "def event_func_1(t, y, a, b, c):\n", "\n", " # Check if t greater than or equal to 5.0\n", " if t >= 5.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "def event_func_2(t, y, a, b, c):\n", "\n", " # Check y values.\n", " # In the time span [0,10]: \n", " # y_0 starts at 1, spikes then goes below zero and oscillates with a min below -10. Have this return if y_0 < -10\n", " if y[0] < -10.0:\n", " return 0.0\n", " elif y[2] > 30.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "\n", "def event_func_3(t, y, a, b, c):\n", "\n", " # We won't actually use the args but lets just check they are correct.\n", " args_correct = False\n", " if a == 10.0 and b == 28.0 and c == 8.0 / 3.0:\n", " args_correct = True\n", "\n", " # Then return events if args are correct and t greater than 4 (only every .5)\n", " if args_correct and t >= 4:\n", " if t <= 4.1:\n", " return 0.0\n", " elif t >= 4.5 and t <= 4.6:\n", " return 0.0\n", " elif t >= 5.0 and t <= 5.1:\n", " return 0.0\n", " elif t >= 5.5 and t <= 5.6:\n", " return 0.0\n", " elif t >= 6.0 and t <= 6.1:\n", " return 0.0\n", " else:\n", " return 1.0\n", " else:\n", " return 1.0\n", "\n", "def lorenz_diffeq(t, y, a, b, c):\n", " # Unpack y\n", " y0 = y[0]\n", " y1 = y[1]\n", " y2 = y[2]\n", "\n", " dy = np.empty(3, dtype=np.float64)\n", " \n", " dy[0] = a * (y1 - y0)\n", " dy[1] = y0 * (b - y2) - y1\n", " dy[2] = y0 * y1 - c * y2\n", " return dy\n", "\n", "def run_scipy_with_events(terminate = False):\n", "\n", " event_func_1.direction = 0\n", " event_func_1.terminal = 10000\n", " if terminate:\n", " event_func_1.terminal = 1\n", " event_func_2.direction = 0\n", " event_func_2.terminal = 10000\n", " event_func_3.direction = 0\n", " event_func_3.terminal = 10000\n", "\n", "\n", " time_span = (0.0, 10.0)\n", " y0 = np.asarray([1.0, 0.0, 0.0])\n", " args = (10.0, 28.0, 8.0/3.0)\n", " solution = solve_ivp(lorenz_diffeq, time_span, y0, method=\"RK45\",\n", " args=args, rtol=1.0e-6, atol=1.0e-6, t_eval=None, dense_output=False,\n", " events=(event_func_1, event_func_2, event_func_3))\n", "\n", " return solution" ] }, { "cell_type": "code", "execution_count": 17, "id": "6205c2ab-8bd2-43f7-88f1-99826eae5b2e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.71 ms ± 70.5 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# SciPy Times\n", "# terminate off: 23.6ms; 23.7ms; 23.8ms\n", "# terminate on: 10.5ms; 10.3ms; 10.4ms\n", "\n", "terminate = True\n", "solution = run_scipy_with_events(terminate)\n", "\n", "%timeit run_scipy_with_events(terminate)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(solution.t, solution.y[0], label='y0', c='C0')\n", "ax.plot(solution.t, solution.y[1], label='y1', c='C3')\n", "ax.plot(solution.t, solution.y[2], label='y2', c='C6')\n", "# Event 1 will be dots.\n", "# Event 2 will be X's\n", "# Event 3 will be +'s\n", "ax.scatter(solution.t_events[1], solution.y_events[1][:, 0], c='C0', marker='o')\n", "ax.scatter(solution.t_events[0], solution.y_events[0][:, 1], c='C3', marker='x', s=120)\n", "ax.scatter(solution.t_events[1], solution.y_events[1][:, 2], c='C6', marker='o')\n", "ax.scatter(solution.t_events[2], solution.y_events[2][:, 0], c='C0', marker='+', s=120)\n", "ax.set(xlabel='Time', ylabel='y')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c9c9e7e5-ea0f-4b36-868b-279a170c3bc3", "metadata": {}, "source": [ "### Events with pysolve_ivp" ] }, { "cell_type": "code", "execution_count": 18, "id": "4dca83e9-6646-4495-a57e-50d0cfd63eb5", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from CyRK import pysolve_ivp\n", "import matplotlib.pyplot as plt\n", "from numba import njit\n", "\n", "# Example with SciPy\n", "@njit\n", "def event_func_1(t, y, a, b, c):\n", "\n", " # Check if t greater than or equal to 5.0\n", " if t >= 5.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "@njit\n", "def event_func_2(t, y, a, b, c):\n", "\n", " # Check y values.\n", " # In the time span [0,10]: \n", " # y_0 starts at 1, spikes then goes below zero and oscillates with a min below -10. Have this return if y_0 < -10\n", " if y[0] < -10.0:\n", " return 0.0\n", " elif y[2] > 30.0:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "@njit\n", "def event_func_3(t, y, a, b, c):\n", "\n", " # We won't actually use the args but lets just check they are correct.\n", " args_correct = False\n", " if a == 10.0 and b == 28.0 and c == 8.0 / 3.0:\n", " args_correct = True\n", "\n", " # Then return events if args are correct and t greater than 8\n", " if args_correct:\n", " return 0.0\n", " else:\n", " return 1.0\n", "\n", "@njit\n", "def lorenz_diffeq(dy, t, y, a, b, c):\n", " # Unpack y\n", " y0 = y[0]\n", " y1 = y[1]\n", " y2 = y[2]\n", " \n", " dy[0] = a * (y1 - y0)\n", " dy[1] = y0 * (b - y2) - y1\n", " dy[2] = y0 * y1 - c * y2\n", "\n", "def run_pysove_with_events(terminate = False):\n", "\n", " event_func_1.direction = 0\n", " event_func_1.terminal = 10000\n", " if terminate:\n", " event_func_1.terminal = 1\n", " event_func_2.direction = 0\n", " event_func_2.terminal = 10000\n", " event_func_3.direction = 0\n", " event_func_3.terminal = 10000\n", "\n", "\n", " time_span = (0.0, 10.0)\n", " y0 = np.asarray([1.0, 0.0, 0.0])\n", " args = (10.0, 28.0, 8.0/3.0)\n", " solution = pysolve_ivp(lorenz_diffeq, time_span, y0, method=\"RK45\",\n", " args=args, rtol=1.0e-6, atol=1.0e-6, t_eval=None, dense_output=False, pass_dy_as_arg=True,\n", " events=(event_func_1, event_func_2, event_func_3))\n", "\n", " return solution" ] }, { "cell_type": "code", "execution_count": 19, "id": "eef95f0d-efd8-4066-9228-882bf7c97d74", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "296 μs ± 5.15 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] }, { "data": { "image/png": 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kyu+VMCW4nJ2jR2x0tgS/D6Mb2WFSktIoPDTWoOhR7scl7VzRlZSQSk4u9kh3AQAAsIj9t0VFfMDTIz8P76k/CA5Odk8VPbz85wn71I8NjcVwUgAAABYDhI+VwOJm6ayjBr07hrw+N85HaLs3YzI7AAAASwHCx0pgcfPq8NqZvDtlq/kZ9PpEPFD36uHS9tioJIgfAAAAFgGEjxWgRHR8At3l+p2rj7Tpq++WdzPYpychNoXiY5Plsre/21NL5AEAAABzAcLHwtFNYylT19m4zCImLjpJ27SQOzdnLFmPfKC+v0+AWuBkFD89hryUD68IAAAAeHEgfCyYTNPUf1ZPU09KTBURM7zTCq344c7NGSM4kWFxesJHV/xsWHSG5n+zP49fEQAAAJAzIHwsFEOGZS5jZ7hEnQm7E0PD2i3TRnC+XdZVT/xEaIRPQc34Cl3xM2/cPjE+8zBUHooKAAAAmAPYY1kgWU1Td3LRzOmKfzKni5efP3pfLgcU9tQTP9qIT6Bblv+Dh6HyUFQAAADAHIDwsUDYe2PIsMyNCJVUly5Lph2mByExWvHz6kd1MkR83J6eQpunTqEBAAAApg6EjwXC3hv24OiKHj3hk6AeUKrA9+HhpIr4qVwnSMSNoYhPVtEkAAAAwByA8LFAUlPSxYOTUZA4a4WPfsRHV/ywmAksqi5XT0tL14v4QPQAAAAwdyB8rAinpwgfQ+Xqb33RQJYXDHCF6AEAAGARQPhYEU7OTxc+GcWPf2FPWeboZE+T/+qK9BYAAACzB8LHinB2dXim8MkofhQCi3jC0wMAAMDsgfCxwlRXYgZzc1bih4eYGhpqCgAAAJgrED5WRHZSXQpsZOYhprrwdcznAgAAYM5A+FgRWfXxyYhu9VZsdJIs4wntGE4KAADA3IHwsSKedG7OOtWVsWR97fxTsvziiVBMZgcAAGD2QPhYEc8qZzfUp+f6uXC5rYCPq16pO98PaS8AAADmBoSPFfG0VFdWzQmVbs7+hT0y9fmB+AEAAGBuQPhYEVl1btYVPXHRSfTDh9u11VsP7qqFj6e3M7m4OxgUP2Wr+WFKOwAAALMAwsdKsLO3JXsHO4MeH2WoKYseN08n+nRGK20aKyEuhaIjE+SyfyEPOc8ofiYs6oQp7QAAAMwCCB8rS3MZSnUpQ02/GrDeYBorTGdyuwKLH44MxcUkkZuHE6a0AwAAMAsgfKwszcWDR1OT1cNHMw41vXzqoUEPj5LuCiisjvgwvJwjQ4rowZR2AAAA5gCEj4Xh7GpPszb1Ft+NQWNzvOGKLr4/P4779WQUPzGPErUGZwZT2gEAAJgrED4WxpSV3al4eR/6bnk3PfHztIouvh/fnx/Hj8/o4anfpqRW+ED0AAAAMGcgfCyMWaN3UWpKmhiZdcWPk7PhAaWK6OH78+P48Yyu+PHycZFlRcsUNFjyDgAAAJgLED4WBvt0RvZek0n8OLlmHlCaUfTw4/jxCor4eXhP7fEpXLIARA8AAACzBsLHSsRPyQo+ehGfZ4kevSntn2JKOwAAAMsAwsdKxM/AkfW1wie7oodhT88Hk5vpLcOUdgAAAOYKhI+ViB9uYKh0YH6a6LF3sJUuzCx4dI3MStPDqIgEg+Mq+DI/jh8PAAAAmCrYS1mJ+OH+PQxXbj0t0jN4zMvShZnF0bfLumo9PbvXXZbbD+64kanPjyKQ+HH8eAAAAMBUgfCxAljcHNx+Q2/ZT+P2GkxvrZp3QgaT8ngK7tQcdjdaDM5XTqvv6xvgrlfqzuKIRZIikPjxAAAAgKkC4WMFsKenfqsSesveGdcoU5NDBZVKpb1sY2Mj53evP5bzwqULaKu9WBSxOGKRxGIJ5e0AAABMHQgfC0cxMtvaqd/q43tvG+zzwygpKyXSo0R+eFl8TJLch29zcrbXE0UZxRIAAABgqkD4WDC61VvpGo/PpRMPDPb50Z3SzimrUX3Wyv2UlNbnc9tSzGP16IqKdQJFDCmRHiXyw48HAAAATBkIHwslY8n60d23ZXlSQkqWTQ6VKe1Kyirj6Aol0vPRlBZagcTPwyKJH8ePBwAAAEwZCB8LxFCfnmTNjC6lgaHBJocVfWRKu+4YCl3x46gRPt5+rnojK/jEj+Mp7wAAAIApA+FjYWTVnFAZUpqoM6srq8hPxn4+0r35k+x1b0Y/HwAAAKYMhI+F8f7kZgb79DhmMaQ0o/jhx+v282EvD4sh7tb8rO7N6OcDAADA1IHwsTA+67mabl6MyNScUIn4ZBQ+uuKHH8ePZ7gfj+LtUfr0hN6OovR0dfVWxu7Nul2e0c8HAACAqQLhY2EkxqfS++2XZ2pO6KyZzp6U+GQ6uy58f34cP57hNNYPH27XRoL4fMrw7RSi6ecTGRanFT8cEdIVPejnAwAAwFSB8LESlIosRdg8C47gfDqjlVb08Dlfv3vtkdzOIywyRoQgegAAAJg6ED5WwtNSXRnJmLbS7edTqXaQ3CewmFemiBBfN2R4BgAAAEwFCB9rEz6asvbsih5OW3EaTClp9yzoIverUCPQYEQoo+EZAAAAMCUgfKwEZxfDVV0Z0e3erOvVUfr5sMFZ6eVjKCKE7s0AAABMGbMRPu+88w6dOnWKoqKi5LR//35q27at9nYnJyeaPXs2hYeHU0xMDK1cuZL8/f3zdZ1NBe7JY2evfquT4g2bmxUydm/Wha9P/ThzPx8lIoTuzQAAAEwdsxE+d+/epVGjRlHNmjWpVq1atHPnTlq3bh1VrFhRbp8+fTp16tSJevXqRU2aNKHg4GBavVpdmm3tKMbm7KS6uPtyxu7NCpzGyqqfD7o3AwAAMAd4vLbZjtWOiIigzz77TKI7Dx8+pH79+tGqVavktnLlytHFixepXr16dOjQoWw/p4eHB0VHR5Onp6dEjiyBgv6utPDgAEpLTaeuZee90HPoen8ePYwjbz83SklOIwdHO1RzAQAAyHeyu/82m4iPLra2ttSnTx9yc3OjAwcOSBTI0dGRduzYob3PpUuX6NatW1S/fv2nPhc/jjeW7snScHLNnr8nu4bnsQM3ynIWPaF3ojM1MwQAAABMFbMSPpUrVxYVl5SURD/99BN169aNLly4QIGBgbKMvT+6hIWFyW1PY/To0aIQlVNISAhZbA+fhKf7e7Jb5XXjQgTdvhwpt6/43zGtsRniBwAAgKljVsKHozjVq1enunXr0ty5c2nhwoVUoUKFHD3n5MmTJSymnAoVKkTW3MPnWaJH8f6cPXxPzouW9dGWukP8AACshQK+LmRrx24Ry8GjgBO16FmOvvi5Ha089ybN3dGX3hhVnyrWenoAwdx44no1A1JSUujatWty+fjx41S7dm0aPnw4LVu2TKq6vLy89KI+AQEBFBoa+tTnTE5OlpMlk90ePtkVPcyZg/eo/WuVqWq9YPr16//kduX+fI6xFQBYL9zuwsPbmeJjkiguJpkSYp8/2myqfskmnctQs+7lqER5H0qIS6GLJ0Lp7KF7tGnJOYqNSiJzpXrDwjT6f23I1d1Ru6xwyQJU+O3q1P3t6rR/y3Wp4n1Ry4QpYVbCx5DXhwXPsWPHRLy0aNFCW8lVtmxZKlasmHiArJ3s9vDJTj8fhdMHQygtLZ1KVPAl/0Ie9CAkRk/88OO5OgwAkBm/YHcq91IAFStTkG5ciqATe+7ITtQSXtcrH9SiFj3KkZ3dk4TC5VNh0irj/NGnH4iaMq37VKB3JzSSZq0KLm4O9FLDInJq80pF+v6D7XTpRBiZG7WbF6PRc9qQg5Md3b4SSXs3XKUjO29RQFFPqtuiODXqUJpebluSAop40MS3N5t9h36zET6TJk2izZs30+3bt8WAzBVcTZs2pTZt2og3Z/78+TRt2jSKjIyU67NmzZJeP89T0WXpEZ/szuli+EdKmdJu6EMeHZlI54/cpyr1ClH9tiVo3fzT2iaHLHqUxwPwvHj5uFC7fhXJJ9CdXNwdyMXVga6fC6fNf56jyAfxZr1Bm3YpQ/0/q0t+wfpFFClJaXRy/11aOvMoXTn9gMyxVxi/ro6vV5GdJxP9KFGEARdBlK0WIDP9eIf66zf7ZcixOdFpQBV6e2xDuXzhWCjtXH2J/tt8jQoGuMkYn85vVKVCJQrQd8u60qIfDtHqn0+SudCwfSn6ZHoLEXQc1eFh1NzWhLl2Lpz2b75OW5aep9Fz21CpSn40bW1PGvXKWrp3Q99Ta06YTTn7r7/+KhGdoKAgSWedPn2avvvuO20lF0d+pk6dSn379pXLW7dupffee08Mzs+DJZazt+xVnoZ/14yO7LxJE97cbLTn7di/Mg0Z14jOH71PI3uvJVPLVVeqE0zOLvYi/GztbOnE3jsUejuazJ3SVfyo3/BaVL1BEa3HIDkpTXYqa349SXevPSZzhJts8meq7/Ba5ObhlOl2Ho3y3+brtHzOMbp9RT0s11ywd7Slt75sSO1frSTXubXE9QvhdPvyI6pQM4CCixeQ5dwi4vfvDtLfC06TuWBra0OfzWxJDTuUluunD4TIzl+JfLAX5tUPa1PrVyrKfR/e4+jw32bzXewxpDoNHKmuDl457wQt/O5gpvuwwBv6TRNJgzF/zDhCf/14lEydCjUDafJfXSQ6x4Onp3+6k9LTVFlG8778pZ1E+XlY9SfdV1N8jGnZRLK7/zYb4ZNXWKLw6fB6ZXpnfCPat/Eqfff+dqM9r0+gG/2+vz+lp6toYP1F9Ohh/h+Nu3s5UdfB1ajTwCp6uWqFE/vuyNHLwW03svyCmyrFy/vQ65/UoTotij/1fod23KT53/xH92+Zx46FKVXJlz6e1oKKliko16+eeUgHt9+g+NhkSalyqL1ynWC5LTE+haZ/tlOORM0B3mGwd6JMVX/5rvw166hEBHRTz0VKe1O/D2vL0TdzYOt1mjFil8ntWAwxbFITSfOwaONowYGtN7L8/I6c1YoKl/KmiNBY+vzVv00+atC2X0UaOrGJXP5z5hGJyD0Njvy89WUDufzjqF20fflFMlWcXOzpx429Kbi4F+1Zf4WmfvSPfD6fBotYjvjwZ/ro7lv09Zubn/mYvATCJ5c3nDmhHLH8s/Ki/JgakymrulP5lwJo7ld7xNyXn7ABr/fQGtpoAR+VPLwXKzsYF3dHqlIvWI44mYsnwuj797fJ7eZAvVbFacSPrSWNwEJg99ortHb+SUk5Muyr6jKoKtVtVUJeY8zjRPEbnNx3l0wd3iFO+rMzeRRwpsfhCbT4h0O0Y+XFTD+oJSv60sBR9cRPoeyI+KhaZTq/u5lw83SkqWt6SBqEUz9TP9pBx/fcyfL+7V+vRG9+3kDeZ66cHDdw43MVJeQ1g0bXp25vVZfP5Pfvb5dUybN2nBMXd6Zi5QpS5IM4GtPvb7p73TQjlGzsnbGhl7QD+WP6Yfpr1rFsPe61j+tQn2E1Jar39Vub6di/t8kUeXtsQ0nh8W/gsHbLsi2y+SDlu+VdycnFQQT8gm8PmOX+m382cNJsAw8PDxXD55ayXfp9WFu1/vq7qnfGNzL6c3d7q7o898QlnfLt9dnZ26o+/L6ZrAefftzUW1WvdYlM9wso7KF6/ZM6qqUnB8n9/jz+hqp282L5/v4869SkSxnV2stDZJ2/mt9eFVzCK8v7FipRQDVlZTe579orQ1RdBlXN9/V/2qlwqQKqxYcHyvp+v6Kbys3T8an3t7WzUQ36vL72vf7oh+YqG5v8fx1ZreuEhR1lPefvfU3lF+yerceVqeqv/Yzy+82f7/x+LYZOrftU0L4PLXqWy/bjPAs6q37c2EseN29nv2e+5/lxsnewVU1b10PWcfzvHZ77M/bhlOby2OVn3pTvZH6/noynKvWCte/dSw0LP/fjG3YopX18jcZF8v31PO/+26z6+ICcNTDMjTLE/VvU7QUq1w0Wo19+vLYxP7WhFj3LyxHWnC/+peEdlksqKyNhd2No8dTD9GHHFVJlwhGGr35tL1UopkqbVyrIPDT2v/yz6pJUVDwtPRBy47H4Jzhiwnn7N79oQIM+f3r38vwisKgnTVzcSaIAnNoaP2gjxUU//aiT05O/TTpAMz7bKZ6f5t3LyWs0RQZ9/jK91KiIVGvxkX92o4tsbp4weBMlJaRQ7WbF6KMfmpONibWLCSrmqd3uC6ccpH9WXsr2YzlK+cVr6ynsbrSkWT6d0VIbiTUVOGJTpoq/RE5njtz93FHF2Z/vFq8Te38++7GleLxMBWdXe/F8MlwwcOIFosL7Nl6jdRof2gffNpXIpjlhOu8GMKk+Ptkl7E6MhOR5J9u2r3pgbF7h6uFIExZ1pNrNi8tO4pt3ttCWP88/80eKBRCbsdf9dkqus/GSvTOmRpMuZWjYpKayU9i4+CzNHJG18VAX9lrMHLGLfvn6P7ne7c3qJifueIcwbkEHqdy6eSmCvhqwXvq9ZBcWgTM+26X1VXCK05Ro1bs8dXmjqlye/uk/dPNixHM9niuHJr+3TcQdG2a5YspUYEP9Rz+0kPeQd+6rfjrx3M/Bab9J72yV36RaTYuJod1U4DYDvd5Tf57+98WeF6pA46ooTmtGRyZIJdSAz+qRqdDj7ZcooIgnhd2JpgWTXzxNtej7g2In4O8wF7mYExA+VoCbm1qNszjIDXinzLDw4bLWvIAjIKNmt6aKtYKkadgXr6+XvhPP88P068T99PMEda+h3kNrmtTOpUxVPzmSYtbOP0U/jd373EedXBn08/h9WnHHHiBT4d2vG4vvhSt8vnx9PcU8fv7Gb//+fUX7+l7/pK5Ex0yBwqUKaHcE7A3Jyuz7LNgbonjyer5TQ/qomALcroKrgeJikiTy9qIeq+vnw2nW6N1y+ZX3a4mPLb/h3xU2a/OB3K61l2nfJnVE+0Xg1gvK+8cFFzWbFqX8hhvTdnurmlzmtgI56R3FlaRcBcb+rmZdy5rM5zM7QPhYAU3Lqr9w7jbqRobGhtNKEWE8sd2V6rfJmw8/V6lxGoErfL54/W+6ePzFmoat//0MzRu3Vy73ereGSYgf3o5jfmpLjk72UqH126QX74m0fuEZWjxV3cuKUxPcjj6/4XXgH0pOTU4ZvkMMzTl5fVwlxbw7obEY2PN7x8nVaZyCPbb7drYNsVnx77ortOYXdU+Y4d83k+qv/KREBR9ppcBwg9KcFgfw61Mir8O/by7VQvkJt1MoXs5HIlK/aA6KcgIfjCmtCT78vrmkdfOT/p/WFVMyd5o2ZAd4Xi6feqCN+L33dWPy9HYmcwDCx8KpFuhHfgXU3puKBdSlwsaGoydb/zqv/eHIbbiKhKNLXPXDO85rZ8Nz9HwbFp2luWP3aMUPP39+wV4ALn3m8DF3UJ368Y4cVy0tn3NcGlEy709qKq3p8wvecb+jRENmHJGUTk75Y/oROTpXooABhfWbA+aXN4TLmY3B798fpFP7Q6Q9w5h5bSXFm18prg++baZtdLdrzWWjPO+Cbw/SpZNh0oqCRWN+zb/icRT9hteWywu/P/hCUUhDcF+mGxfCRfRwpDM/o8jNuqkPfH79Rp0GNwZLZx2VdDU3Hh085mUyByB8LJyBNapQmr16z1nOK3eED7N16XnxlnDqqWr93Bv0yuFULqFlfp34Hx3+56ZRnnfT4nPabtP8/PkVGRkytpGkETh9N3HIFqPNOOIf311rLqnFwZzWUk6c1zg62dGIWa3I2dVBmkmunHvcaM89e/RuMQV7FnQRccAGzryG+/T0VrwhX+4xWpdp9nV9/wG3XoiR9GB+mZ25NxY3z+TPJrevMBYc+fvhwx1STs29mjjtnF9mdBaVLMK2L79gtOfl30VOCbFf6+U2JcW7lx8MHtNA64+7lsODRV1Sk9Np1qjdciDKxQYv5eOBVXaB8LFgnO3tqV/VipSm2QdwxMcul6on+EeeGwMyA0fWy7UdCx8RMhsWnZE0lTFhLw13ZlUiI89qFGhseL7Rk0jWdrp/07jN3X4cvVtC3NznaOz89nKEm5dwYzdOI3CjSx52aMz+O+w3YHM7Pzd3lv1wSt6KA05tfTy1uQjLf9dfkaoXY8KVUJPe3UrJSalUr1WJPBcHPI/vtY/UBQBsiM1JetIQ3MWZxSLzyvs1qWLtIMpLOEXKJnL+7rGoM3ZvqBsXIrRpT4545vV3jw8YebQG+zwXa1LfxoRTXhsWqn+PuYO1UlBjqkD4WDB1CweRt4szJdqkyXUPW0eqERSQa/9v2exj0mmXBUqDdiWN/sP75a/tZAfDHUOViiVjw+3ot6+4IDswjk7k1Q8wN/FTwuBLZx55apO7nByZsTjgSgyeFfXlL+3zLDLCHYnb9qskOxZO3xl7x8lEhMbRpHe3yNyrBu1K5ak4GDCirrYj8U9fqT1jxoZL/hVxwF2e89Is++7XjSRSx8KZvx+5AZvVuckqG4s/nd5CUl95AX/X2TPIbP7jnFGjIbqs/OkEXTnzQF7XsMnqwoW8Sp8rB6Orfzkl35PcYMm0wxKV5IoxLqYwZSB8LJiSBdXzfxJt1APn7FKJmpcslmv/LyoiQaImDJuEObVhDDj8zBEKb19XyZVzh9jcHDcx+/N/ZVwCiyyeTVO8fO6mhfj1jf5fa62oYwGZW3CaYtygjSI8OG3x2cxWud5Dhfv1DJusbvvP6a1T/4Xk2v9ik/v/NGkY7qBbt2XuR+2qNShEnQaqK+a45wtv49yC++Vs+uOcvGefTm8p/XRym4YdSknJOQvKOWP+zdVO2fPG75NeVCzM388jccDtEHhUinQNz4VoiG5Kb8anOyVqx/2ZeNp7XsCDY7mzOxegrP75+VsPZBeuEFOEeedBVcVTZKpA+FgwJby95DzNTv1LZZtGVCUgdz+Ma389JV8wHrpojJQXiyeucCpatqA87/jBm3JUgpkdWFRN+WA7nTtyn9w9nWj87x1zzTDLOzD2bPD2ehASQ9M+Nm4KKKveS9wIkXuocDrvTc1sodyA2xuM+LGVpNd4mC0bmnObHSsu0vrf1ZU06vlfuVcJ5ebhSMO/ay6XNy05K96l3IarjdgUzpGD0XPb5mpaQQy5mmjI8rnHc328BH+3Oc3LvhhOz+R2bzCeN9hX0+Pq9+8OPLOBZk7h4bpLph7Wpn6Diqt/o3MLz4LO1Od9deSTR8Ekxufu+JOju25L5I6jdvy9MKXGjbqY5loBowofclQf0dul2pC/u2uu/3Bx8zyGj4JzYnTjL83nc9uKWZqNj1+/uSnXwrSGPCP8/25cjKCC/m40YZG6w7CxeWN0ffFs8NH0t0O3Gq2S5FmwgZN9NgzP6+Gj3tyAS8w59cnlwbxDy6vBsPMnHdCphGqXa2mTIeMaSgn2vZuP6bccNIN73ipK/qyIn6m8D72v6feUG7Bfgw3j3HPHmGb0p8GpJu4GzbAoz03h+uaYl6URI4vynauz3306J3BUnD+bnDr8ZJq6K3tuwaKOD96unX2YZ6/v5/H76FF4vBRQ9P3ANFNeED4WTPECXqQiFdlqhQ9RgFvuj5Xgo142HzMf/tBc/DnPC5e0chqGfQxsyBv/5ia6di53cu9ZwZ2Exw7YIB1OubU+ix/usWMsuPSfG5sxPG38yumHlJfwdHNlZ81lqC8b2ZfFgorD+dzgjCNZ4ffzRrQqaYXvhm0V0yy/d1/8rPaHGROuYOHyYHl9n+zMlZEwTysmYPEjnZ07laEug40vXPn1iSiXqqR/RHDlFX//dloaOPJ79tmPrYyWNteF2zo07FBa3r+5Xz1/g9AXhf/PjM/+kZRoueoB9MqwmrnWOqJdv0pyef6k/Xn2+qIfJdJcTcqLB2SbYsoLwseCKeFdQKax2drZaiM+Abkc8VH4/duD0tuBoyUTl3R6rioGteeljZR+cj7867c30/kj9yk/4KPqL/uv1x5dT1nZjYJL5Dw8rZti4p4hezdcpfyAm+MpnpERM1tJZYuxdiqDv3hZ+1nIjwnVHD2bOGQzxUYnSUXL6LltjBZ65x3WsG/UviX2ZF068WINNHPC+aOh0n2ceWNkfaM2b+QOv2+PVX8+/5x5hG5ejKS8RC0OdkrkgCsBuXmjMav0+Ddm6ET1+7dx0dnnHimSU/gggOcKMr2G1pAWFsaEv8/c+Z2jSdyo8MzBe5SXHNh6Q6obTTXlZVprA4yGm6ODpLXSdA6U7NKICrq6kINGCOUm7B/haMn9W1FirJu4pLP0IMlOddP0dT20R5rfDt2Wq2bY7HD/VjSN6LWG7t2MkoqF75d3y9FRDHec/mxmS/lR4BYAXO2Rn3Dnaqmm0XQdzqnpkn0LI2e1ltfHw1IVw3t+cOtSpAw/5Q7fNZsUFUNwThvk8TDez39qQw5OdnRg63X660d15+j8gMfFcF8Wfu94m7NgySn8XDyLi31ZF4+H0uqf1Z2j8xo2G3MhA0e1Gncqo20uaAzem9hYTPc8KDUvfGeG4JYHnH7i78kn01uIH8dYdHqjCpWvoR4r8pOmM31e8/O4JykvY753xgDCx4LTXExESoI29M8/IIy/m2ueheN5CjO3teew68wNPSW9Y2jHw196bv72w+ruWqMvDxJ9nvlbuQmnTFj8cDkqdyid9GeXFyon5nlZY3/jMnIHGWnAM7jyG/bdzBy5S8y5fKTI1TQv6vkpVdmXJi/tIp4aNuAqR7X5CVd6ceRHKXP/YHLTF44eqM32bSSSyRFNbkyXVymErPjfF/+Kh4M/l2N/65DjdOz7k5qIr47FIg+CzStfliG4fH72GPVniAftNutWNsfP2bJXeUkPKiNT2D+YX3AVmxxQFfaUIg4Hx5yn9PjAg2fXMb9NOpBnvkhDKS8e8qrMd6vdvJj8vlSuG0yNO5WW89yuKM0K/q/5/LU1LTw8PCg6Opo8PT0pJiaGzJWO5UrR6n7d6HBCGD16212Uf91FDlTI04Pq/rSYTtzPu9A8V04M/66ZRDqUL8ShHTfoztXHYixkDwantfgImuGSbvaE5JXR93ng9eU0nPJa9qy/Qgu/PyRC7WlwqJdn2bTqpY6mbFt+QRqlcW8dU4Ir8fhHilm34DT9Me1wtqvoOH3HkSwWdSwKePhobvTreVF4COaoOW20TQa5NPt5OmO7uDuI74xLkfkz/HHXlVIhZwqwj27Kqm4iyDjK+tWADSLWnxfuv8ICg0UBp5hZnJsCr39aVw6MOArMnyuuuHzRAbLT1/WUzyinmPM72irrVLIATVndXUzIXBHFXaxfFBb0fFDGouLkf3dlW+U3Q8Y1pI79q4gHjvdD/BlVeHg/VqoUX3SQ74vuvyF8XnDDmTrD6tWgae2a05rI6+Q6PIAiH8RRuQXpVCM4kLosWU2br1zP0/XhL2S71ypR3/drZ1kdxSMHeOjk7rWX8/0o+lkl2lyKyg35+IiFfUjrfjtNK+Yez7Qj5aNw9s3w5HDuFcJGSh6NYeyu08aEO+e+qunSyw35uELqaR4k3gY8zoBb/vPl43tu07fDthlt3IYx4XEBH01Rd1hmYcA7Ga5wexacpuVRGBy55Pd73Bsb89w38SwCinjQ14s6SWqZPWksfp7Hu8IpTqV3Dk9N37YsdxoVvujvx4hZraURJovOr/qvf+5iB249MPmvLtLZ+8S+O5KKN5XfmaovF6LxCzrIHDT2VC2d+WLpUy6W4EIFjtYNa7uMwu7m/z7Mzt6WftzQS1qSqFQqstEJt3JDU742eehWo4gfCJ9c3nCmztR2zej9ejXpf/fOUKmRJeUoMODXRGpXtiS9tXYLLTxxNl/Wi9NcbDSt26qEHOHwFzQuOokObr8pwsec4EnVPP+m2svq2WT8Wh7cjaHw0FgxL3L6rlbTovJjxnAVx/cfbM+TXi85pVazovT2Vw1lJ8pw+S03P+PPEacuucKHd7Qte5anFj3Ka6dqb/nzHP00bp9EDEyV8jUCxOvDfi1ezz9nHJEjf/4RzmpbfDqjpXhe+LVzd2juomyK8EEF950qWdFXTN0T39r8zOgI75i6vVlNGj7yZfYs5Zfv5VlpxklLu4ixnD2EPJ9t97or2Xose5/G/dZR/CbsO/mg/XKTikYyrXtX0LYmmPrRjmy/Nt0qPO4JxnAKnf1fpoCtrQ3N/+918vF31RM9Cvy94wOsNxv/keV3MLtA+OTyhjN1VvftSh3Ll6axNw/Ty19WktSD87xoGvBSZfpixx76fq+6iRbIOZy75mgHh6wNwREFNqByWiy3G6QZE/YbdH+7OvV6r4ZeKThHrR4/jJcJ8go8jZxnEf29QN040NThqh5OPSpVbJyqPHMghM4cvicVhL5B7mKG5o7FykBXFhBcQm5qO0xDkY0vf20vBxgMdyFfOfeEwchW2Wr+Mj6BKxaVFCwPnDTl18ZG4NrN1R251/12Sqa7P01o8/s37rcO8p5yE1SO1uV1FVd2GTCyHvUc8pK8Hu4izcby7ESlOBL2qaZggr+DuTXS50XgtBv7/p7F6L7rxNOVEyB8cnnDmTon3htIlQJ8adiVPdRpQk26eCKMkuc+pM8a1aVZB4/RJ5vVTQaB8Y5qODriG+xGvoHu8iPLBzf7t1yXbq3mDHet7ju8tlSycZREEUF8dHZy3x3avuIiHdp+U/wX5gabZXloJAuhrGChxzOcOEWZl71schodeW9iE3l9ioH09IEQKW1mrxKbz3ksBHdH5tujIxOkNH7X2stk6vD3iquE2IukvC6O2vFvnK4AcvN0pLotS0hZPkfrbl+JFNHDUTtTfm0c9VG8gOyxmvbpPzKk9mkHXp9zqwYHO9r61/lcHyvyvLCRmb1xz4IbnO5ZfzVP9t+mPUIVvDDFNV2bH6WqvzBsLAuLVbv786KJobXBIoBnDPHJ0mCfAPdU0U2ncBUKp/Tyq2LEWOxac1lK0ivUDJIj08p1gqTTNEfmuPcQnzg1mZvzt3Kr8zi/Zyv+d5y6D6lOzbqWlUotPmWEo5G/Tdov3hlzgHfqnIq7du6hlN0rr4uNs9z6grtMV6lXSN5LpSvy2cP36JshW0z+feTX9uPI3VIROWRcI6kcZX/Mj6N2i8DTFd6c8uv8RhWpVOTXyaKVq6hMSfQo1b3GvJ8xgLnZAiM+BV2cKXTUMLnc+fwmGjq5CR3ZeZMuzbhBi3t1pN03blPr35fn92oCYJLwTiQ9Ld3kdiA5gT0uHfpXoaCinrLzl1N0kqT1uBGiucLp5d5Da1CNxkWlkCAjty9H0n9brosANLeIJJuBR81uLYZ6htsxcNTq+oVwKZRg4aOwa80lmjEif1sPZAVHFH/d+xr5BLgZLF/PD48PIj4WSKC7OqITEZ9A9k62TyI+cXF6twMAMmPKxuwXhc32C79Tz7+yJHhoKo8L4R0q95BiXxaLAk57Hf7n5guV9JsKLNo+6rJSqrQadSwtxSClKvvJieHqQi5/5wrRGxdM07PEsJjhkvXRc9rIZV3xo1R1sScpp6LneYDwsUACNMKGU1vK5ObEhFQRQoy3i/E6hAIAQH7DO02edZfX8+5yGz5g5fQVn9hrV6Kir1TsJcQm0841lykqwrSN9gpcqs4l62991ZD8gp4URXCkh0WPsfr4ZBcIHwtEieiEsvDxdtB+gaKT1BVFnk5ZGzkBAACYpteOT2xQN0cObL0hRRAVawfJ7Eb29HCqNS8jPQoQPhZIgIdOxCfIXit8ohLVxj4XBweZ15WSZnkhfQAAAKZJeroqxyXrxgCzuiw41RUaG0/Orhrhk/gk4sN4OTnl2/oBAAAA+QWEjwUSoBlCKhEfTc8V7iqcrlJRjEb8eDlD+AAAALA+IHws2dwc88TczKkuRkl3eSLiAwAAwAqB8LF0c7MifBLVwkeJ+MDgDAAAwBqB8LHgiM+DOBY+T6q6mKgkdcQHqS4AAADWCISPhWFva0u+ri5ac7O2j098il6qC+ZmAAAA1giEj4Xh5+YinTFT09KlYWHGVFe0JuLj6YxePgAAAKwPCB+LTXPFSxWXUtWlpLqUknakugAAAFgjED4WamxWJrE7u2bw+GhSXR6o6gIAAGCFQPhYbPNCtfB5EvFJ0Ut1eWFsBQAAACsEwsfCCHB/0ryQyaqPD1JdAAAArBEIHwuezG7vYEt29rb6Hp9EpY8POjcDAACwPiB8rKB5oaGqLkR8AAAAWCMQPpZa1SU9fNTG5tSUNEpNSddrYIjOzQAAAKwRCB8rGlfBRCHVBQAAwIqB8LHQiM/DxCRqP2yQnr8nO6muAgH+1O3zT8jO/kmaDAAAALAUIHwsCBcHe62gqTG4P9Vo11Qup6U9eZuVBoYeTo5ka2OTSfS8u2AONezbkz5ctgDiBwAAgMUB4WNBBLipoz0JKamU5uJMqUmxct3DP4iKVq6oV84uy3V6+bDoGbroJ/ItUpjSUlMpuGxp6jxieJ6/BgAAACA3MRvhM2rUKDp8+DBFR0dTWFgYrVmzhsqWLat3HycnJ5o9ezaFh4dTTEwMrVy5kvz9/cnaevjE2NtRna4dKS0xRq6ryIGGLZ4n4ic5LU3meDFuDg56oqdgcJBc5zRX+J27tGv+4nx7LQAAAIBVC58mTZrQnDlzqF69etSqVStycHCgbdu2kauremfPTJ8+nTp16kS9evWS+wcHB9Pq1avJ2ozNt8PCRbh4eLvL9TSVg4gZRfzEJqvTXe6ODplEDxN57z79MWIsNRv8OtJdAAAALAqzcbC2a9dO7/rAgQPp4cOHVLNmTdq7dy95enrS4MGDqV+/frRr1y65zxtvvEEXL16kunXr0qFDh8jS8dcIn5BHj2nuG0Np/JrRRIHqiI9KpdKKn8S//pL7BQQGUK9pkzKJnsWffEGvfj9e0l7MmklT8+kVAQAAAFYa8cmIl5eXnEdGRso5CyBHR0fasWOH9j6XLl2iW7duUf369bN8Hn6Mh4eH3skSStkfhz2go2vU0a50lT3Z2NhoxY+jv58sf23cyKeKHqS7AAAAWBpmKXx4Jz5jxgzat28fnTt3TpYFBgZSUlISRUVF6d2X/UB8W1aMHj1afEPKKSQkhMzd41OqfRu1mTldbWSOj1OnthTxk6opVfcpoBaPTPTDcEpNSaXXpkzQih6OGrGAAgAAACwFsxQ+7PWpXLkyvfLKKzl+rsmTJ0uaTDkVKlSIzD3iY1coWFJa/kUD5PrhtdslmqOInxSN8HFITdOKHjfvAuRfrAj5FC4E0QMAAMBiMTvhM2vWLOrYsSM1a9ZMLzoTGhoqVV1KCkwhICBAbsuK5ORkqQDTPZl788JYB7WZuXqbxnI9Kjyarh0+TtHhEXI9xU4RPurGhix6lIaFHOFRIj1oZggAAMDSsDU30dOtWzdq3rw53bx5U++2Y8eOiYhp0aKFdhmXuxcrVowOHDhA1oAifBZ+O0N68djZqiM6lVu2otpdO5C7t7dcT7G3k3OHNLXw0RU9s159Syt6lGaG6OcDAADAaoXP77//To0aNaL8SG+99tprUrXFURmO5PDJ2dlZbmd/zvz582natGnUtGlTqlGjBi1YsID2799vFRVduqmuU6fP0uzXh5CNSu3tCSxbgdLT0sjWTv12P0l1PRllwd6fVRO+1xM9MDgDAAAgaxc+nEriyqnLly+LMZh75eQF7733HhUoUID+/fdfSV0ppz59+mjv89FHH9GGDRto1apVtGfPHrm9e/fuZA3wqApnB7WgCYuNp9tnz1PYlYvqG22dyNZOHeVhkm3t9Dw+ivdn4MxvqWLjBnqiBwZnAAAAVi18ONXEBuC5c+eK6OCU06ZNm6hHjx5kn4uDLXnHbOi0cOFC7X24qmvYsGHk4+ND7u7usk5c1WVN0Z7HCYmUqInkODio5Dyd1B2aFVI1HZszRnw45TVo9hSIHgAAABbLC3l8eCQEd0muXr26NAe8evUqLV68mO7duyepptKlSxt/TcFT8XdTl7KHxcbJOaer/Iure/Skq/SFj5Lqsk9N0S5TSt2V83XfzkApOwAAAIsjR+Zm7o/D4yP4lJaWJpGfKlWq0Pnz5+nDDz803lqC52heGC/nbYe9Tfb2moiPyp6SExO191XMzY5p6lQX+38yip9+344T8QQAAABYtfDhdBb7ZtavXy9dkXkuFjcTZK8Pj5FgEdS7d2/66quvcmeNgUECPNTC50FcnAiWEjWrkS2pIzrRkTHk4OiYKeJDcWqRpOv/YdGTnp5OLh7uMqsLJe0AAAAsiec25dy/f59sbW1p6dKlVKdOHTp16lSm+/CsrMePHxtrHcFzjqtgweJbJJhsbdSRHGdPHyJbW210J8nGRi67aJYpcCNDTz9feX8TYmLp+MZtWqMzg5ldAAAArE74cOXUihUrxEicFTw2omTJkjldN/Aiwicmjv7+fiY5OqqobH/NjXbqkn8luhMdnyCXHdOfVHUxqSkpdHLrP1SkYnnyKVKIhv7+PzE8Y2YXAAAAq011LVmy5KmiB+QPgR5PhA83L7ywWz2hXqXit1idykqKixcR4+jrm6mqKyE2VgaWFq5YjtZ+O13dANHeXiI/KGkHAABgKZhV52aQNUHu7tpUFw8oHTTza7meprKnW6fOyOV7l6/SHyPGkiJb7VNTtcZmJ1dXqeLitBb381FEz7ReA1DdBQAAwGKA8LGwiA8FBsiAUgdNRVd0eDRd2n9YLj+6H0qvfj+e0pyc5LpDWpqIG4Z9PR4+BSktNU1ED0d8fn57OEWG3MuvlwQAAAAYHQgfC8DBzpb8NH186n/wjggXVZq6fD3mUTwFlCohl8vWryMRnbAHD9WPS0khtwJeeg0M7ezttGkuFkkoaQcAAGBJQPhYAAFu6mhPSloafTfgXUlpbZn5oyxLiEum4LLqhpLu3gXE4zNv+Ci5bq9S0ePbd7Rl7EzE3RCZ88X3Y5HEVV0QPwAAACwFCB9LMjbHxlFSYiJN7fE6xYaHyrLE+FSp0GIi790Xo3KITvpq3djJes/156jxMueL76eIHy6PBwAAACwBCB8LK2VXcHZTj6lISbWREnZuSvjTmx+IiHHz9aVkzYDSvl98ovdcfSd/JREeNjqz+Nm3dCX9u3Apdfv8E0l/AQAAAOYMhI+FRXwUXNzUnZpVNurzyLv3qPHrfahh356SvkpIT5flAf5+lJyg7usTExmpl95i8bNr/mIa8stMeVznEcPz4dUBAAAAxgPCx4JK2e9rKrQYV03Ex0bTvDDizl0RMUr6ytbTQ5bHhtyns7v2yuVj6zbreXu4LF7p3IwmhgAAACwBCB8LjfgoqS47J7UoCr8TIhEc7uPDVVupmrTVv3N+oYc3bsllJ3c3PW8Pl8UrogdNDAEAAFgCED4WQJDG43Nfx+PjohE+9i7qyE7EnRBJX3GJOnt1UjSDSdsPGUjJieqWhl4BfnriSOnnw9d5OQAAAGDuQPhYAIEe6qhOWGxm4ePk7i3niTGxemmr29duyHIfb29q3L+PXPby99MTR+jnAwAAwNKA8LGgqi5DER8XL/VcrtL1aumlrSIfR8nyxAcPyMvPTy4XLBSsJ450+/mgpB0AAIAlgPpkM4f7Dga4q7s2h8bGZqrqklRXGtGqr6dQfFS0GJw5bRWfnCK3H/z9T3L18yefwoXIxcNdTrqeHj5n0cMT3wEAAABzBxEfM8fX1ZUcpE+PisJi47XLnV3VEZ90cqDoh+GUGBtLayZNpZiISOnJo3h8KDFRmhbqsnT0BK2nh8/5cTzHC718AAAAmDsQPmZOoCbaEx6fQKma3jyMi7tG+KjsxdiswL14uCdPiYb15bqPdwFpWmioiaECX+YUGHr5AAAAMHcgfMycQE0PH900l67HR0UOUsquoPTysfPylOsNu7QXD09yomaoaUSEXhNDRfSglw8AAABLAMLHQnr46Bqb9VJdKhY+d7XLFd9OTIJa6Hi4OMsMr4t7D8j1Q6vWaw3NQxf9JCf08gEAAGApQPiYOUW81H16QqJj9AzPru6OBlNdCsm26rfePk09sysmPELOHV1d1FVf9+5TweAgOSnDTdHLBwAAgLkD4WPmFNaMngiJjs0U7VHMzTyuQkFJXTl4q/v7pMfEirip1raF9nYAAADAUoHwMXMKaYTPneho7TJ3Lyc5T1fZkorstBEfXb/OY8397x0/Jaktd40Q8i9RTO6jRHqUyI/i+QEAAADMGQgfC0l13Y16kupy81TSXI6UEBNHcZpmhdyPR/HrbPx5oSxzSE9Xp7FCw+R6YOmS2vvM6f+OnNDEEAAAgKUA4WMhqS5d4ePuqYn4kKOev4ebEO5bulKEzsOH4bLMzdFBvDurJv5gsJePYobmx6GJIQAAAHMHwseMcXd0oAIuznL5ro65WUl1pakcKeLuE+HDs7e4GaF0bk5JlWVuDg6SwuoycniWvXyUJob8eAAAAMCcgfAxY4poevE8TkikWM0ICsZN6/Fx0jM2K/AA0tr9eslldxcnre8nXVPh9Sg0TK+XjwJfRvdmAAAA5gyEjxlTyNM9U7RHL+JDjnrNC3W7N1ds10ou+/gU1Hp6Hty4Jcs2z/xJ6+vJ2MgQ3ZsBAACYMxA+ZkxhjbH5jo6/h3H3UCI++h4fve7NEZFy2TE9Xdun59H9UG1EiK9n1ciQHw8AAACYIxA+ZkwRT0/DEZ8Czk88PgaEj24DQwdOb6lUcjn6obqJoYefj9bUjEaGAAAALAkIHzNGifjoVnQx3gFqQZSSZpep27KSsnIvFCzXbbh3j2ZZimaMhaefbx69AgAAACBvgfCxhFL2DBEfbz+18ImJiCeVzsR23V4+oZq0FhN9+44sq96+pVz38CmoFUgZGxny4wEAAABzBcLHwnr4MB4FXeT80YMn3Zwz9vL536BhlKgpaV/28Ri97s1+xYvqTWRXGhmilw8AAABzB8LHElJdGSI+bpoGhuH31AZmXXR7+cSlqEvg06Kj9YaQBpctnWkiO3r5AAAAsAQgfMwUL2cn8nByNCh8XFzVb+uD2w+f+hxxmt4/rg7q7s3rvp1hsHszAAAAYClA+JgpRTRprvC4eErQpKwUHB3VVVr3r99/6nPEayI+rg724unp8Ml7WXZvBgAAACwBCB8zT3OFRMfqLXd0siM7W7XwCbl8J1vCx9/fT+3pKVyY0jVmaO7pY6h7MwAAAGDOQPiYKcUKeMn57Sh9A7N/UbVIUals6N7VO9lKdXUdPkTr6YnU9P1Z/8PsTN2bAQAAAHMHwsdMKVmwgJxfi3ystzy4TGE5T0u3p5TEpCwfz92ZPYsXk8sFC3jpGZkZW3s7ve7NuqMrMK8LAACAuWKf3ysAXoxS3uqIz/VH+sInqGSQnCclc2vCrOk1dhS5BfoQ3Quh5IhImjtivIie6HB192ZP3yfdm5XSdh5bwXA/H4arwwAAAABzAhEfM4/4XM8Q8fEvpk5JJcarJ60bgqM2perUoFR7O+28LoXoh+Fy7uHrI+dZja7AvC4AAADmCISPmVLS27Dw8Q1SNyGMjU7O8rHcfZkFTKwmFebp6qpNZcVo5nV5+qmFjyGuHjmOMncAAABmCYSPGRLk4Uaujg6UmpZOtzKYm5U5XTGR8Vk+XunefHjbTrme+vix1seTpqn08vRVz+vKOLri8LqNtHLct7n46gAAAIDcw6yET6NGjejvv/+mkJAQUqlU1KVLl0z3GT9+PN27d4/i4+Np+/btVLp0abLUaA9XdKWk6c/iKuCrLnOPDMs8riJj9+bIx1Fy/dL2XVoTszKLiye0K6JHd3TFsi8myuMBAAAAc8SshI+bmxudOnWKhg4davD2ESNG0AcffEDvvPMO1a1bl+Li4mjr1q3k5KQe4WBx/p4Mxma3Al7krOnaHHFPnbJ6GvGaxof2qanaCi4vfz9ZllH06FZ8AQAAAOaKWVV1bdmyRU5Z8eGHH9LEiRMlKsT079+fwsLCqGvXrrRs2TKyFEplZWwuUYxsSe3tiYqIe+bzKH183BzVIytY3Lz3+//Ip3AhcnZ3kxNEDwAAAEvCrCI+T6NEiRIUFBREO3bs0C6Ljo6mQ4cOUf369bN8nKOjI3l4eOidzMbY/EidqtIVPnY2asNy3FPMzRmFj4uDg5yz+Plz1Hi9+2BeFwAAAEvCYoRPYGCgnHOERxe+rtxmiNGjR4tAUk7sHzLbUvYSxcnWRi14YqOybl6okKAxMrtphA+nt3g+ly6Y1wUAAMCSsBjh86JMnjyZPD09tadChQqRuaS6rkU+yjLiExWZ8MzniVOEj6ODnqcnJUn9HNHh4RhZAQAAwKKwGOETGhoq5wEBAXrL+bpymyGSk5MpJiZG72TKeDk7kY+rS5apLnsbteB59DDrcvaMqS4PF2c9I/O1w8dl+b4/V2JeFwAAAIvCYoTPjRs36P79+9SiRQvtMvbrcHXXgQMHyFJQ/D2hMXFa4cLYOzqSTyF/stOkuh6HZz/i4x/or1e9FRFyT5Y7ODkZnNcFAAAAmCtmV85erVo1OSmGZr5cpEgRuT5jxgz64osvqFOnTlS5cmVatGiR9PRZu3YtWVxFV4ZSdt+ihcnBXi16UpLTsuXxsfdUNzt0JtKr3jI0rwviBwAAgCVgVsKnVq1adPLkSTkx06dPl8sTJkyQ699//z3NmjWLfv75Zzpy5Ai5u7tT27ZtKUnjWbEEyvkWlPOrEZn9PfY2iXL5cfiz01wyZX3Sl3p9fJQ+PTHKvC7N2IqM4oeHlb7y9Rcy4R0AAAAwJ8xqz/Xvv/+Sjc3Tp46PHTtWTpZKJX/1KIlzD9TiRMG/ZHGy0/h7spPm4g7NHoULE50+RQ7p6aS7VaM187qUQaW64odFjwwr7dqBkhISMKEdAACAWWFWER9AVDlALXzOhukLn+CypZ/L2Mzzug5uedLz6P1ff9T6d2IinqS6siLiTggmtAMAADA7IHzMCCd7Oypd0NtgxIeFj5021fXsiA/P21r81Tfa64GBAVrzsjbi41OQbGxtMw0r5ZTX/954DyMsAAAAmB0QPmZEed+CZG9nS5HxCXQvJla73NHFmXyKFn6uiA+jUhHFayrDYu4+qdxi7056ejrZ2tmRu3cBzO0CAABgMUD4WIC/J7BMKbK1taX05KjnEj66Je1rPv9aa15+Z/4sitdMbg8uVwbDSgEAAFgMED5mKXz0J68XKldWzlXJj7Nd1aWg9AJKjY7Wq9ziAaVMn4lfYEI7AAAAiwHCx4yoFOAn52cfPNRbHlyutJwr5eyPsuHxUUhISdXO69ItW+eGiIyXny8mtAMAALAYIHzMMeKTsaKrXBk5d3ZOf/6Ij868Lnls2AOZyK4LJrQDAACwFCB8zARPJ0cqVsAzk8eH+xoFlS1FNpRCTs62z+/x0aS6MKEdAACANQDhYyZU1ER77kbF0OPEJ52ofYoUIidXV1IlR8v1pIQUSoh9MsMruxEfFwf9Ce2xmsnv3KQQc7oAAABYChA+Zta4MFP/Hk2aK+retWz38NElQSN8fH289aq3NkydLcsj797DnC4AAAAWA4SPmVA9UN1V+WwG4VO0SiU5jwm9+dxpLt1UV4t+PfWqt0IuXZHl7gW9MaQUAACAxQDhYybUKxIs54fv3NNbXrx6FTmPD7/7QhGfVM2gUS93d73qrShN5Rh3b46JiIT4AQAAYBFA+JgB7o4O2oqug3efCB87BwcqUqm8XE6NV/f2efQcFV3s6SnXqplcTnn0SG9Ce9yjx5SanCyXPf19M01oV8ZbAAAAAOYEhI8ZULtQENnZ2tKtx9F0PyZOu7xwxXLSb4cjMh4eKlkWfu/JKIvsTGi3L1BALl/5599Ms7eUqI+Xv1rgZBQ//HgAAADAnIDwMaM018E7IXrLi1dTp7lunjxDgcW85PL92+rqruzAE9qvnD0vl+1T1Y0MdVGEkJemcaKu+Nm3dKU8HgAAADAnIHzMSvgY9veI8Cmq7vETels9Yys78IT2Q1v+kculq1TMlLqKDnuYSfgo4mfNpKni/+n2+Scy1BQAAAAwByB8TBwbG6K6hYPk8sE79w0Kn3sXzpFPgHq21v1b2Y/4MPGacvag4MBMvp0oTQWZl7++8GGUnj8N+/akziOGP/frAgAAAPIDCB8Tp6xPQSro6iL9dk7reHAKFgoiTz9fSk1JodQ4tSCKjUqS0/MQrylnV8XFZzIta1NdGYSPbqND9vvsmr84x68TAAAAyAsgfEycuoXVaa6jIaGUkqaexcWUrPmSnIecv0T+QS5y+f5zpLkydm6Oun4zU8WWYm7WjQJlFD26lWAAAACAqQPhY+LUL6oWPofu6qe5yjeoK+eXDx2hwKJqY3Poc6a5dBsYOtlQpnL1NM1tnpqID0QPAAAAcwfCx8RpVaq4nO+5eUe7zNbOjso1qCeXL+49SEHFPJ+7okshPkVdzeXq4JCpXL3r6I/kNi9/XyoQGIBIDwAAALMHwseE4aaFRQt4ir/nXx3hU7RyRXL18qT4qGi6feactqLr/q3nT3Up5mY3Rwc51xU/BYODSKVSSa+g937/H9JbAAAAzB4IHxOmTZkScr77xh1K0ERmmPKN68v5pf2HKD0tTSfV9QIeH006y81BLXwyih8bLivjKfCFguHpAQAAYPZA+JgwbTXCZ8uVG3rLyzdUC5+L+w6SrZ0N+Rdyf+FUl2JudnawJ1uNyFHEz9LRE/Tuy9dhZAYAAGDOQPiYKJ5OjtSgaCG5vOXKde1ybhpYpKJ6PtfF/w6QX7A72TvYUXJSKkWGPRln8bypLsbV4UkjQjYy9538ld59+TrmcwEAADBnIHxMlBYli5GDnR1dehhBNx49SWFVaPSynN85d4FiIx5RkGZURejtaFKpx3U9F5xCS09X6fl8dKu34qNj1PeLicFwUgAAAGYPhI+J0q5sSTnfclU/zVWzU1s5P/PPv3JepJT3C3VsNmhwdnDIVLK+e8ESue326XOYzA4AAMDsgfAxQZzs7ahrhTJyef3Fa9rl3sGBVLpOTUpPT6dj67fIsrLV1c0Fr5558SaCis8nMChzyXrIxctym7tPwUx9fpD2AgAAYG5A+JggHcuWogIuznTrcTTtvfWkjL1mp3Zyfu3wcXocGiaXy1YLkPNLJ19c+MQkJcv5a2NHZSpZjwxRN07k0vaMfX4gfgAAAJgbED4myGvVK8n50tPn9Xw7tTTC58jfm+Tc09uZgourPT6XT6mF0IuQqPknfj7elBATS3+MGKut3lIElounBzl7uBsUP9xXCFPaAQAAmAMQPiaGn5srtSmtLmP/49R57fLi1aqQX7EilBQfT2d27JZlZaqp01x3rz+muGh11OZFsCuo9gmpYmLJxcOdXv1+vDaNlZyQSDERkdqoD5NR/Lz980xMaQcAAGAWQPiYGK9UKU/2drZ0+O59uhSuFhxMg7495Pz09l2UnJAgl8tVV6e5Lp988WgPc+vaTTnf/+sig2msR/dCtRPhFVj8cGQoQSOWMKUdAACAOQDhY0JwA8F366inri8+eU673LdoYaretqVc3vvHcu3yspqIz6UcpLmYWI3HJzk83KCHJ/Ke2ufjHRSofQwv58iQInowpR0AAIA5AOFjQnQqV4pK+3hTZHyCnvBp8dYAGUx6/t//KOSCuspKV/hczoGxmYlJVgsfD0dHgx6e+MfqPkLemogPprQDAAAwVyB8TIiPGtSW83lHTmp763B6qWZHde+e7fN+0943uIQXeRRwlo7NNy9G5Oj/xmqEj7uBQaUsfqq2bqZel+AgiB4AAABmDYSPifBy0UJySkpNpf8dPqFd3vrdwWRnb0+X/jtIt888MTtXqRss59fOhlNqSrpRUl3uTo7aZbrix91bbX4OLFUiU58fzO4CAABgTkD4mAgTWzaS80Unz1FYbLxcLlOvNtXu0kEaFm75369692/cSd3g8NAO/c7OL0KMZkI7p7p0UcTPo/tqc7Nf8aIQPQAAAMwaCB8ToH3ZktSwWGFKSEmhb3YfkGUOzk7Ua+xIubx/2WoZGaHgE+hGlTURnz3rr+b4/z9JdekLH+2U9s+/1luGKe0AAADMFQiffMbe1pYmtWosl2cfPE73YmLlcqdP3iefwoUk2rJpxly9xzTqUJpsbW3o3JH79PCe+v7GSXWpPT66sJG594TResswpR0AAIC5AuGTzwyvX5Mq+vvSw7h4mrLvsCxr8EoPOTErxn8nTQt1adJZnebave5JhVdOUEZWcMSH/UTchZkFj271VnJiovq+EZEGx1XwZXRvBgAAYOrY5/cKWDNFvTzpi6Yvy+WRW3fT48Qkqty8MXUd9ZEs2zjjf2Jq1qVwyQJUuoofpaak0f7N142yHrE6Hp/OI4ZLF+aKTRpoK7nYyHzj+Gmq3aU9ndr6D5VvVF8rftgDxCgCiVkzaapR1gsAAAAwNoj45BM2NkQ/d21Dbo4O9O+NO7Tk1Hmq16srDZg2SXr2HF6zgXbOX5zpcb2H1pDzE3vvUPQjdRQmpyh9fLiqa9f8xdKwkAUPn/iyTGm/cEnu4+Hro1fqPnTRT3JSKr348QAAAICpAuGTRxQIDJA0ksI7tV+i5iWLUVxyCn20+wC9+t146vXVSK3oWTHh20zPUal2EDXrVo7S01X058yjRls3XgfdPj6GeHjrtrayS6n2MiSQUN4OAADAlEGqKw+wsbGhgTO/lfEOuxf8SemXLtHk1k3ktr9s7KjfsgXk5OpK6WlptHXufNoxb0Gm57Czt6V3JqhL3rf+dZ6unnlotPVTPD4eTk6SslKEDMOXedlfmsouv6JF5PUAAAAA5giETx7Aox68/P3I09eHen35GfX4dze5RkbSbX9/im/QkJxsbOjO+Yu0cvx3dPf8RYPP8fondah4OR9Jby3+4ZBR109JdTnb25F/oWB6oGlOqOvdeWXSl5SWkiJl9kUqV5AIVUaB1Gzw6/D3AAAAMGn40F2V3ythSnh4eFB0dDR5enpSTEyM0Z7X0cWZ6vfqRh/WqU4dIh5Skr09zalUlU6ePU/HN26lyweOZPnYQaPrU7e3qsvlaZ/8Q7vWGKeaS8HBzpbivvpY/b+SVLRh/mJtykq3sis1JYXsHRwo6sFDEXJK92aGRc/f38+ktNRUo64bAAAAYMz9t0V6fN577z26ceMGJSQk0MGDB6l2bfUMrPwkOSGRQjdtpZZh6gjJe8vX06iu/eivLyZmKXqCinnSmHlttaLnp7F7jS56mJS0dEpMUQuWPXN+0fPp6I6uYNHD6Ioevp1PXMkF0QMAAMDUsTjh07t3b5o2bRqNHz+eatSoQadOnaKtW7eSn59ffq8azerYkpzs7WnT5eu0+NSTTsy6uLg7UJ0WxenjaS1oztZXqF6rEpSWmk6zRu2mjYvP5tq6RSUlybmXcxbdm0dP0FuG7s0AAADMEYvz+Hz88cf0yy+/0O+//y7X33nnHerQoQMNGjSIvvvuu3xbrw/71qfKLwfTHVUSLTx3hZp3L0fObvbkVdCFCvi4kE+gOwUX96JCJQtIV2aFY7tv02+T99PtK49ydf2iE5MowN2NPJ2c5DpXoHFPH6U8nbs168LXDVVxcWoMaS8AAACmikUJHwcHB6pZsyZNnjxZu0ylUtGOHTuofv36Bh/j6OhITpqdvZIjNDbeLs7UYkJ1OmanjqoMatXwqfcPuxNNB3fcpL3rr9Klk2GUF0RrKru8nNXbwlAjw0ehYeQdGEDpael6DQwN+YEYNDIEAABgaliU8PH19SV7e3sKC9MXC3y9fPnyBh8zevRoGjduXK6ul62NDaXeSyIXRwc6E/KAkpPSKCUpjZISUykqMoGiIhLo0cN4un8zim5cjKDH4QmU12hTXRoRyJEeFj0seBiu3vpp8DAauX6ZRIP4elbdm9HIEAAAgKliUcLnReDoEHuCdCM+ISEhRv0fEfEJ1K3Jb9IgUBkPYWpwqovxMODxUUhLSaUHN25RUJlStHX2L9Tq3UHa7s264y3QyBAAAICpYlHm5vDwcEpNTaWAgAC95Xw9NDTU4GOSk5Ol7E33lFuYquhhopRUl5OTNmWl9OlROjTzsog7d+V+Hn7q0RXo3gwAAMCcsCjhk5KSQseOHaMWLVpol3GXYb5+4MCBfF03UydKE/Hx9/HWS1nN6f+OnJTZXCVqqEvrg8uWzuc1BgAAAKxc+DCctnrrrbeof//+4uuZO3cuubm50YIFmcdAgCdEazw+FapV1ooe3T49Si8ftwJecr+iVSsbjApxRRcAAABgqlicx2f58uXSs2fChAkUGBhIJ0+epLZt29KDB/pl18BwxCfy/CXat3SlmJsNNTJkPw8LHN8ihWS5oe7NAAAAgKmCkRV5NLLC1BlYozL93KUtbbx0jbr9uSbL+xWvVoXeX/Kz9vqs196mm6fO5NFaAgAAAIax6pEV4PmJSVSbmz2dsq7qYtOzoUaGvBwAAAAwByB8QIaRFU+aOeqi25wwLipKliXGxWt7+UD8AAAAMAcgfICex0cZWZGV6GFPz5pvpsryhOgYbbUXxA8AAABzAMIHGBxZkZXoYSPz+T3/UXp6OnkHBdCij8dA/AAAADAbIHyA8DgxUevxsbHJWvRwdVdSXDyFXr0u9/EODtKWuiPyAwAAwNSB8AHCowR1qsvO1lave3NG0aNw69RZOS9erbJenx+IHwAAAKYMhA8QktPSKFaT7iro4iw9ebISPcwtTQl7sWqV5Tyj+EEjQwAAAKaIxTUwBC9OREIiuTs5kreLi7YRYcZGhgo3TpyW86JVKpKjiwslJyRoxQ8aGQIAADBVEPEBWh4lJMi5j6szpaWm0ppJUw2KHib89l2KuBtC9o6OVLpOTe1yvj8/jh8PAAAAmBoQPkBLZEKiNtWVHS7sVQ9+rdCoPrYiAAAAswDCB2iJjFcLH051ZYeLGuFTHsIHAACAmQDhA7RE6qS6ssPVI8coJSlJhpYGlCyOLQkAAMDkgfABWh5pUl3e2Ux1pSQm0bUjJ+RyhUYvY0sCAAAweSB8gF5V1/N4fJgLe/fLOdJdAAAAzAEIH5DJ41Mwmx4fXYNzyRrVydXLE1sTAACASQPhAzKVsz9PxCfizl0KuXCZ7Bzs6aX2rbE1AQAAmDQQPiBzqss1+xEf5si6jXJeu2sHbE0AAAAmDYQP0BIeFy/n/m6uz7VVjm/cSqkpKVSkYnkKKlsKWxQAAIDJAuEDtITGxsm5l7MTuThkf5pJ3OMoOr97n1yu3QVRHwAAAKYLhA/QEp2UTPHJKXI50N3tubbM4bXqdFfNjm3J3skJWxUAAIBJAuEDDEZ9nlf4XPrvIEWG3Cf3gt5Ut3snbFUAAAAmCYQPMIrwSU9Lo53zF8vl5oNeIzsHB2xZAAAAJgeED9AjTBE+Hu7PvWUOr91AUWEPqUBgANXu0h5bFgAAgMkB4QP0uB+jRHyer7KLSUtJoV0LlsjlFm8OgNcHAACAyQHhA/QIjY194YgPc3DVOnoc9oAKFgqiFm/2x9YFAABgUkD4AKN4fHQHl679drpcbj74dfIvUQxbGAAAgMkA4QP0CI3JmfBhzuzYTef3/Ef2Dg7U48sRZGNjg60MAADAJIDwAYYjPh4vLnyYNZOmUnJCIpWuXYOaD0bKCwAAgGmQ/fa8wKoiPjy2ws7WhtLSVS/0PNzTh8VPn6/HUNthb9HNU2fo2pHjRl5bAAAA+YmbowO9Wq0iVfL3JTcHB3J1cKCE1FRad+EKbblyg5LT0kzuDYLwAXo8iIunxJRUcnawpyKennTzcdQLbyEuby9RsxrV6dqRXp/yNc14ZRA9Dg3DFgcA6MHZcE6vl/AuQMW8PCkkJpaOhNynhJRUs99SLxctREPrvkTVA/3J3cmR3B0dKV2lom1Xb9DKs5doy9UbZvk6gzzc6P16NenNmlWpgItzpttfr16JIuMTaNX5yzTv8Ek6HfaQTAU2X7zYIb2F4uHhQdHR0eTp6UkxMTFkjZx4byBVCvCljotX0rarN3P0XA7OTvTBkl8ouFwZenDjFs3uP0RmewGQWztQFux8futxtMVs5KoBftSmTAmqVySYklLTKCIhQXYqp0Mf0t+XrlJKWjqZIyx2Pm1Yh96oUYU8nBz1bktOTaPj98No943bNOvgcXqoGaJsLnQsV4q+aFqfagQHPvV+sUnJ9Ofp8/T59j0yNsgcaFmqGP3Zq5NW8FwJjxSBE5WYRPEpqVS0gCe9UqU8FfL0kNtT0tLoy3/20fT9R0ilyv/9N4TPC244S2Z5n87UtWJZ+mjTPzTn0IkcP1+BAH96f8nP0tjw1qmz9NNb74v/x9TDt3Y2NmbzQ/QsnO3tqUXJolTIy0PSmH5urvQ4IZH23QqhA3dCKFYzo80cqRkcSO/Xq0HVg/yppHcBiVYyLAxOhj6gE/fCaOnpCyZ1xJkdONU8rG4N+vDlWtodiCHux8TSr0dP06/HTmn7cJk6nk6O9FWzBvRWrarkounynpqWTrejouludAyVKlhA7zXzZ3X8rv/opyMnXzj9npfv28SWjemTBrXlekJKCv15+gItO3OBIuMTKTY5mXxcXah7xbLUo1I5Ku7tJfdjoT54zWbac/MOmTLv1X2JfmjTjOztbOlYSChN3L2fNl25nknQ2NrYUOPihWl4gzrUoUwJWfZf5GOaHPKAEpycae8fy42+bhA+ubzhLJmJLRvRiEZ16X+HTtCHm/4xynNyWfuwRfPIrYAXXTt6guYP/ZSS4k3jCM7Rzo66VShDr1WvRGV9C1KAmyu5Ojpoj2QO3LknJw5N34kyr89EGR9veqtWNepfvRIVdHUxeB/e4Zy4H0bzj5+mhSfOmvyORaFB0UI0ukk9al1a/aOqGylgHO3t9JYvP3NRdp5XIh6ROYi5uZ1bUfWgALkel5wikY+d129JmqSgiwv5u7tSp3KlKdjTXXtU/cvR0zRq27+UmGq6qZOS3l609tXuVN7PR67vvx0iO8/dN+5QavqTyFUJby9qWLQwDa33kjZqcjU+gX4Mi6Stp8/TvYtXTOY3RKGgizMt7tmRWpUuLten7z9K3+89RBHxCQbvzweDg3p2oo/9vMmfVMSvfr9/AG30KEAXjhynywcO040Tp6U5rCnwbesm9LFG0C06cZbeW789Sw9PiZeq0st9ulPVlk2p2r171Oj0KXJIS6M4JyfaXqs2vdK2B6VrvqvGAsInlzecJdO/emX6tVtb2nHtJrVftNJoz1u0SkV6e95McvFwp5snz9Av735EiZoqsvyggLMTjWxcjwZUr0S+bs/uVM071N+On6HJew6Y/JE1Gwy/a9OEhtSurl3GR5Qn7oXSw/gECo+Lp8JentSwWGHZwSicfxBOX/57gP4Ni6DYR4+M/sNkDOxtbWly68Y0vH4trXBbekZ9RH05/JFEDfiou5KfL1UP9qe2ZUtR9wpl5L5pKhXtSk6ln+6E0oXL1yj02g2KCY8gU2JEozo0oXkjsrW1kajV5zv20B+nzkuKKyN+hYNocMsm9FqJIlRW41oIdXKmhb7+dCslVdLLJzZtpztnz5MpwJ83jijz9+1OVDQNWbeVdly7ZfC+xatVoYb9elKFhvWpZvhDqn/+HLkkqyOwBytUpCPly9PD23fp7rkLdGjNBrpy8AjlJ17OTrRr0CtUOcBPhOqbazZL+icjtvZ2VKlpI6rbozOVe7ku2drakkNqKjU8fYoq31RbCx56edHfDRpSvLOzRMcv7T9EW+b8QqFXrlF+MaxeDZrWrrlcZnE97T/D27tq6+bUasgbFFy2tHYZ2xvc7odSz2uXKUjzHjb6fTkdunHbqOsI4ZPLG86SYR/Bnjf7yY6yzPSfjfrchSuWpyE/zyRXL0+6c/4i/frexxSbD0fgbcuUoLmdW2vD6fwj/Pvxs7T92k2ZV8Ymb44E1S0cRI3LlqTWFctRVc0YD/7a7nF1pw02dnTxwhW6e/6inOKjTMNTUqtQIC3s3p7K+BaU6xsvXaOfj5yirVdvSLRAF/ZetWjbgrqVL03NI8PJVRMpuOvrRzvKV6DTd+/R7bPn6faZ83T1yLF8ea90CXB3FW9Bo+JF5Pr8Y6fpuz2HMpnwbWxtqWz9OlSvR2fZyQTExVLd8+epZOh9uZ2POjfXrUf3fX3lfeMj671/rKCbJ0/ny+uSdbYh+r5NU62g+/PUefps6+5M3hbui1WtTQtq+fZACipTSru8SFgYtTp6hNySkijFzo72VKtG54sVlyd+eOsOndi0jY7+vZki7oZQftCuTEla8UoXicQduXufeixdq22fofvaXurQmhq/1oeKVKqgd1vi3RBqcP4cvRyr/l0+W7w47a7+Eqls1V1ZOI2+/eff6cKe/yivcbK3o42v96TGxYvQvehY8UeefRCe6X78mnpP+FxPFFw5dJQu7jtIcY8fU20HO/qyTHHycXKke2RDK+rWJdtChbSDoA+tXk9b5vyc59/DDmVL0qq+3USMZyV6+De9xxefUfW2LeU6C7YTm7fT/mWr5fdRSblPaduUvJycqP+qjUZfTwifXN5wlgznn++PHCqXPb+eYfSweVDZ0iJ+PHwKyo/wz+98ROG37uRZJGR6++ZipmQuh0fSyK27afMVfVHg6e9HNdq3psrNG1OxapXlqCz4ofqoMzhCHSFIcHSUkO2tQHUYno+uD6xcS4fXbKDEGPXoj7xmcM2qNKtDS8m/342KEc/ArgxHVc7ubrJjqdmpHfkWLaxd7picTLUuX6JqV6+SfXq67Dz/qVGTrhRRi4zU5GQ6tmEr/bvwTwq7njPT+4vA5bK8c+HUDpso+bX9ffGq3n3sHByo0au9qUHfHlQwOEi7PCEmliJD7lGBW7epX8xjKsqtGsiG9lStQmdLlVarDhbA5y7Q3iXL6eTWf/I0vcBRrHld2kglDPPx5p00++Bxg0fTbd4dTIGlS8r1tJRUWeerR47T9aMnyCUxkaa/XJMa+KlF735bezrYsiU5aBqS8v33LV1B2+bOz9Noa53CQbRtQG9JIa8+d5kGrt6U6XfFt1gR6jP+cypZUx2lTElKouMbt9GBFWvp/uWr8vljOIo5o31zsrO1pd0PImi+RwF6qUcXKaRgQi5cptXf/CAtNPIC9rKwGO9eqax8Lpv/tpTOhOmLHl63tkPfpsav9yFbOzuKe/RYXhf/VmQUopwK3DawjxiE+ffptT2Hqcrrr1D1Ni3kdn7fts9bIN9DVW46hXWM9bsH95WKtF+PnpL0VkbKN6xHfSaMIU8/X0pLTaWdvy2mfxcupYTomCy3WcaDMGMA4ZPLG87SCR05VDwhNf/3e6YvsTHwKVKY3v5puux4+Ufgtw9G5vrRNht6173aXSIi6ekq+vHgMRq7c59eKSkLHp4xxpECe8cnVSYc8bh95pxEByqnptDggh5UWlPRsCcwiE7Xq6c98mTfAR9Zs3nv4U3jhnKfBnt55nRqpfWzDNuwnR4nJmlvt3dyooav9KDmb/YXr5UyYuTCvgN0ZscuCrt2U15fwfR0mtm6kdY7sz4lnQ5UqUpBFctpn+v8v//Rjl9+l6PsvKCCnw9tH9hHfC2cjuv117pMXp3yjepT15EfkV8xtVDj13J0/WY6vGY93b98TU/8/tK1DfWqXF6ur7hxhzYVL0FVOrYlByf1zjP89l1a+fX3eZY+md+tnYgeTtu9tXYL/XFaPzXlFeAnOxZOjchri46mfxf9Rfv+XJFJZLOG+6QBp8saigDedPUGTY6MpWqd22kfHx0eQRumzaHjG7bk+s6znG9B2XHyAdWmy9ep59K1el4ejs416d+X2g59SwRCYlwc7Zy/mA6uWJtlBWjn8qVpcc8OYow+fPc+vbp5J1Xu2ZVefqUHObu5SXRkxy8Lafu833I9XftNy0b0WaO6lJSaSh0Xr6J/M5iTeW7h4DlTKbCU+vt0bMMWWvfdjKdWtxYvwOKntxifr0Y8ota/Lyf7kiWoy4jhYhlg+Hv756hxuRppdnVwoENDXqNyfj5ifei8ZLXee8c0fv0V6vTp+3JwyKnjpZ9P0EZ48hoIn1zecJYOp7o45fXKsr9ptYE8tTFwL+hNg2f/IF9kPppbOeE7OrJuU678r9IFC9D613tKtQj7W15Zvl6vesLJzZXaDH2LXu7dTbvzYx/S8Y1b6eyuPRSVoSKI02CcluAKB2bfnXv0Q0wCVezTQ5t+SE9Plx/vzbPm5XoaTFf0cBiaw9G6VGrakLqP+VTMlAz/QP3zy+90dudeSk5IMHhENr55A/FAMWyqHX3+KlXt24sqt2giP3LMoVV/0/ppcyghOjpXd5wseribOFdotV20gh7pVAVy5LDn2JFUuVljuR714CFtmfUzHd+0TRslMASbNHmnxZEDNtj2Xb+dKnbuIL4SPnJlWMD+/cOPIs5zi3HNG9DnTeqL6OmzbB2tv6Tv46jRoTV1//xTcvH0kPTBrgVLaM+SZc+MKrYqVZxW9u0i4oB3Wj2XrqMitWtQ11EfaWfocaHBH6PGZvp8G/Ng47+3XpUdOAsU3oHH60TS+DW99t0EiRgwl/47SCvGf0eP7oc+87n592lNv24iqI7fC6VWvy+nNGdn6jLiQ6rVuZ32gOWP0eNyLaLcpnQJWv96D7n82or1tPzsJb3bi1SuSINnT5HPKG/j5eMn08W9B7L13MUKeNLWAb2pZMECdC3yMTWbv5TC4uKpdteO1G30x+To4iyNYhd+PJruntf/v8ZidseW9Hbt6hI9rjl3od73jgVr15EfUsN+veQ6p7TWTfmRUpOeHGzlNRA+ubzhLJ2fu7ShgTWq0JS9h2jMjr259n/4y9v3m6+oaqtmcn3Xgj9o44z/kSrDUUVOqBEcQOtf6yE/wtcjH1OnJav0ogUiCr74TMrumevHTtLW//1KVw8fe+Zz96pUTrxCns5O4g3io9mI4GBJJVVq1kjuw0d2m3+cJ5Prjfm6siN6eMfCURBlR8A7lK1zfqGj67dka1242o2jERzm5m3XYfFKeuzmTi3fGkB1unWU+8RERIo4OL5hq9FfGxuvdw3qK+mtU/cfUJuFyylS58eXIxh9J30lOxZO47Ag2P7Tb9mu9mlesqikKTi6yb4Tfn0JdnbU7v0h1KBvTxF4LHrWTJ4mfoXcSE3y54d5e90W8ZkpcPSj51cjqVYn9XvH0bU/x0x4rp04e07W9usm79/em3eoyx+rKSFdJSmXVu8MIidXV3l9S8d8TRf27jfqa2OD+eb+vahpiaJSHdlk/lIK16luYvE16Mfvya94UUqKT6C1k6dJ09PnFcU7B70i320W5/z62ATOaaEeX40gV09Pee6/vviaTm/fZfQGfkffHSD/21AFLKfJX/12vPzGcfrt16GfUPTD54ueF/b0kMhPaR9vOhoSSi0XLBPhGFS2FA2c/q1EzDkluGriFDqy1riemc7lS9PKvl0lOt520XKpulPgaPjrUyZQ5eZN5ABv/dRZtGfRX5TfQPjk8oazdPpULk+Le3WUtEL1Ob9n24PBZZz1iwRLuW1KepoY/fbcvCs/StyfwxBsaGz93pvU+p1Bcv3KwaO0ZORXFBv5yChlwZv795RGW9xzgn8Y2bjM8M6y6+iPtblzNoDymA2uoHjekvGlvTtR1UB/6dkxcNUmWnPhCpWs9ZIcmSlGRjZzL/9qEt27dIXyQvSUa1BPPBOcJuHQ/+6Ff9LWOb8+NQpiiIp+PrSqXzeJlvFIEzZuck8cLlflHbPiN2GD5vJxk4wWPeAj+T2D+4pJ+2zYQzmiV8qC7eztRZw0G/SaXL93+SotGfEVhV278dz/p1qgH23q30t2YCfvh1G7RSvl/3AkstfYUWIAZ3invGbSNIMRshehdeniknrliBOXc0/Y9UR4+BQuRANnTJb/zZ4J9uRw+offx+eFDfobXu8pVUeH7tyj9otXUkxSsvyP13/4Wmsi5oOOTT/ONVpqSCl9jk5Moga//EGXwiP10pIc6eEKz8h792nBByNf+HvBBzYcEeQGiOwf6rdivfhH+EDmlW++pDJ11WZx3oZ8MkZqjyOiLOqalSwqn5lGv/6pV3XHPrPOI4aLcOaBzUs+++qFS+/Z87P3rVfl8/n3hSvUe9nf8vqcPdyp7zdfaiOd239eIJFOYzWWPP7eAKm+m7rvMI3evkd7Gwu5N378nsrWqy2pco6o8WBqUwDCJ5c3nKXDpd4hI94jBzs7Kj/jF7r+KOqp4oI7lHYo96TCJCN81LD+0lWasf8o/XfbcFUJV6r0mfC5HIXyznPRp1/kyPdTu1Cg7ND4B3/frbvUeckqbaM+HqPR6bP35YiQdyy7f/+Ttv302wuHabnh4ZKeHWUb8GsduW03zTxwTIyML/fpJsZGjr5wVOKf+Ytox8+/59g8m5Xo4bRd508/oHo9u8h19hkt/eLrHPlxuJpqw2s9qVqQvzST6/bnGnkfWYA0GdBPRCtHKNjMuObb6XRs/eYcvTYXB3sJ83M6g6sLG//6h7aFQMHCwbLTLFZVbQT+769V9PcPs3IUYmfRvmVALwpwd6MzoQ8lncbVVFx63OrtN6SCit9L3pYsynOaWijvW1B2ZvzZ5H4ob67d8uS2RvXp1W/HyWeTvTiLP/1CopA54aWgANrUv6daTN68I1FP9raxGbzTJ8NkR81wz5hFn4x57siEoUjoH707yeXef62jtReeiJpmb7xK7T98T0TBtWMnaNHHY3J8kNOsRFH6+7Xu5GRvTz8fOUnDNuyQ5fyedfjoPWo6oJ9c56gPR7dyKl7HNKlPY5s3kK7Ldect1kaQOf3T+bMPJOKrpH84WvgiglUXPpjk7wM35+TeQFyQoT1ofHewnBhOzf/15Tc5/m1Z06+b/JaxqGv4y5/aXj1cGPHmnKlUokY18WLNH/aZmOpNBQifXN5w1gDvCJqXLEafbN4pLeMNVaJ81exlGtGQe1HwQNN02nr1poTUbz+OFh9MOb+CEurmHZjC1is35DkvGyjJDChZnPpPmyRGQBYk//y6iHbMWyCXn7eKhCuAeMfC69P5j9XSW4MrR3p+MYLK1Ktl9CgMh/a5z8W7ddS+nzmHjtMnm3fJ0Zm7j7f4NKq1VvfBuH/lGi0fO0k8CDkVPbo/hKXr1JTBsEpF057Fy+Qono/McgpvS/5B5F4sHNnqu3y9mFUZTlf0nfilVMAxZ3f+SysmfPdCZbd8NM29XjpXKCOegqbzl9KFh+pKOo7O9Rw7SiIFbPBd9uUk+V/GgNMmvHPhtNqFBxGSVlPKrTl69+rkseKRSk1JkXTs3sXLXih64O3iLL4XTl/wZ5NFFo+c4J1YyyFvyE6MRQFXJS38eAxFPzBOBI3FD6dN+H3czCbjv9ZqR11wyuKVr8eIOM+p2GIRue+tV+VggJv3faFJlbO5vve4UVSzY1u5zlVNHGF93u92VnAnZE5b8m/RN7sPSLNKhdpdO1DPL0dIioa/6799MIIe3Xu2j8gQjYoVlu3Ikbo3Vm3SGtE5EsKClbcls2HabImiGYvelcvRkl5qMfn+hh0078hJvdfX66tRZOdgL76tBcNHvbDv7vVqlWh+93Zi1q43bwmd05Tlc7n62/NmSISQv3u/vPsx3T59jkwJCJ9c3nDWAI8BmNquOe26flt2AroU9fKU9E7twuod7NLT5yVUzya8rHYqH9SvKR2E+aiMmwHOOHCUJu4+kKms1dHFhXqNHUk1OrTRpjE4R8958uzQpHgR2UGzr+HfG3eo65+rKcnGVqq1mg96TX782CS6ZfbPUnmV06OxjPCIATY+M+svXqXXV27UGjrZy8QmY06zKebnTT/+lGXZZ3ZFD//odvhoKDXs21OWc4ksH/kZ+2iMIzG8c+GjwYwVSHx03XTgq9Rm6Jtk7+Ag3pGVE6fQ6W07n+t//NS5NQ2qWVWG5bZbtEIiS3yk2W30J1qv0o3jp2jJyLFGH3rLJvitA3tTES9P8aW0XricQqLVJmIXT0/qPX60dKJVqmr4c/k84o4PFthv1qJUMbr5KIpe/nmJ+F5YcLDXjf1mShSLK3+MJQp0B2Zuer2nlJWvOneJXlu5Qdupm/0iA2d8K+Z8/r/rp86mvUuWPdfzs6ja/9arkp5kQzVXObHw52rJN2Z+S0UrV5TnXvvtdImGGBvd7wZ7bth7o9sQccCMyeTp6yMRpoUff/7c4o4jZkff7S/9v3QjdXxgM3iWulCDPTccVTq11Thd73UZ2agufd2ykRxkctSVp58rlKlXmwZMmyQHBdxugnuksfn5eSjk6S6zGtkaMGb7Hpqy77As59+rIb/8KJ8N3nbz3h5u1JS9sYDwyeUNZw1wbvnih2/JDq7czF+04xrYEMppHc7/cmfZd//eJp6W7O5YprRtpk2LXXoYQW+v2yojIQz1LOkx5lOp/uIfSzbvcYroaRUf3Ghrae/OEhLmH97eK9ZTuRbNqPV7g8m3SGHtDmvNN1NztZEbH33+3r29rAebErv9uZrCYuO1R04cDq/dpYPWHMw7GQ5TP8twbEj0cGqk26iPtT15eKfJpcrG8qIY2nmz+Z1HfBjqOcPGy74Tv6JCFcrKdTYF85F9dobTTm7dRGYc8Q97v+Xr5XPFUaxXJn5B3kGBIlI5CsheDWMLVkOlxCzk2/y+XLpBK9Tv1U3Kijm1x9GRFeO+pfP/7svWc7ORmQ3N7LFp8uuf0uSOd1j8+tiTIkbVr7/PtepGpkXJYrT21W5yALL45DkRr0pPFRbQvcaNlh5WStuCZWO/yZa44zL6Va90pY7lS0t6st68xVqvFAsqL38/EcMLPxlD145kjiAbi8+b1KNxzdUC8vUVG2jZ2Sel1byNB878VqIWnHZePXmqHHxkB359q/uqU0D8u1Xv5yUSRQ4oVUKqU30KB+dJaw7u98R9yPgzxD2DToU+iQgGlilFb/1vqkQm+XeFRwNxn6fs8vdrPaS5K1fgNZn/p4hi/t6x6OE2EVwx+dOb70vPMlMEwieXN5y1wCFrThtxL4nhG/+hzhVKa8cgsFm497J1LzS/iicXz+rYUo6c2BMz+9Bx+uqffXqlroybdwHq/vkn2m6gnGbgEmoWQdwrQjfVwNOAf+vWXnqXrL9yg2arbOnl/n21aR+ODvCR5pl/jJMaeRac3lvVt6uYEvnonj1GF3UMnqVqvUQ9vhwh6T2Gf0y48RdXRxk60n+7djWa3fGJ6JkX/pjaf/CO5NsZFoTLvpqUJ71nMnYZzphaYO8Pp204ysaXuYHgnkVL6d/Ff1FSFlO2P2tYh75ppTZq8s5406NoeX1KxR+bz5eOmZAnvYOKeHE1TR8xdPNOvM3vy/R8bmzofu37CdrWBed27aW1301/6hH2hBYNaVTjeiLquA/R9jv3qe0wdVM7eX03b9PiEV9mO7KZEzqVK0XL+nSR78qSk+ckcqHbUI5L+jt+PExaO/AOlD9Xz+qIrAgOjtRxBdeph+HUfNDrMr6Ao6yc3v3t/c+eOwrxInCT0qF1a8j8Mo6MbLv6pOEmC1Y2/b+kEXcnt+yglV9PeWZqiEeJ8PBRfn0Nflki/c1qdW4vEVwnVxf5fHKUhXtA5Sa6UUMuM2/4yx90T6e1AbdiYB8OH3hwZJv9fdmJug6t+xJNb99C0th1flosZnQuYBgwfbJEfPh9Y9GTX52/swOETy5vOGuBdwBcMcG9JHRhA+GnW3bnqKszh8WntGkqZfMMH12/s25rpgZgTPHqVaXBmeLNYfhom/t+xNy9RwPdnamLh3qkxAkvb/qvWVNtQ0H+4eZuvJzWyq0oSFbwjpOPorjyi7u68sT7Jaee+HrU5uC+1OyN1yQSpAi0s7v20tVDR+nqkROUEhsrFTKcKmTWJiTRwRo1qVAFdUNB9u/sW7qSdvy8IM9nn41qXJcmtFCX7fOA0w827tBrCMlH1lwZpUR/+IiY15WFQsjFJzt4rv7h18h8f+EqnS5fgWp1aS/bhyM77AfJzSiWIYI93CXyw4NrH8TGU4+la+jQ3Sc7bfastH3vTWngxt4Kfh/2/rGMDq78O9POQUkbM8M276KrlSpR04H9tI0k1VG62bKjyis4KslNALmAgVPVg9Zs1htQy9ED9qwoVYncz4rTw7rNIHWrQBf26CD+mjfXbKGdyamSFixUvqzWVPzXFxPzbKgoC/OF3TvQK1UrSFSGDzr23tIXJFwR2G7YEHnvOJLB4o5/T541soEj3H9cuiYFBDxvi+FK0D9Gjs1WVNMY8G/nnsH9qIK/jxiQm/32l7xOBS4QeX3qRJlzxvCoCz7oy+r7UyM4QJ6Px4koKcI63TpRjy8/k7Q1i3EWrY/DHpApY3HC5/PPP6cOHTpQ9erVKTk5mby9vTPdp0iRIjR37lxq1qwZxcbG0sKFC2n06NGU9hwhcQgfw+KHZ+z4uLqK0W3G/iN6PR1yCjda4xQAt2hnuCSVOyrrlr/qRkm4YRbPYWLfh3d0NLU9cph8o9Q/OMfLlKH/KleRXz4+wvxv6So68vemfG2qxb4ANusq86XWnr8sbd91e5rwD1X9Xl1FBCnN8xjnpCRqe+ggFQlXGwwPly9PhypUlNfHoXruDcTpv5xW4eQETr/xmAzeKXD7A05RndeYkRk27XLakoWr0jiP4cq9OydO0WsJsdRIpf6OHihZko5WV5vDlZ3tppk/vVCZujHgara/X+1BLwUHyJE+99r564x+V1qO2LH/SFeU8wgJ3tmziG3n7kKTalWV5avsHelK48ZawcNRvnXfz5BWAPlBl/Kl6c/enUT8rDh7kQas2qTXmZcjNe2HvyNVX+zhYl/aqS076OiGLXTzxGkR2vwcnF7m6NHy0HDaX6eOfE8Z6YH07XSZE5bXONjZSmqqTZkSFJ+cQt2XrqGd129nmh3Yb/JYbdSV0+C7fluil4rjdg5cgcfl8vOOnabVPn7UbNDr8h7y9uCeX//8sjBXenQ9KyW7961+UonIBSNsVtctqef3i5uyNh/8upjlORK1Yvy3mfqTeTo50qF3+stB2przl2nowROSyq3YuIHcfmrbTvGy5aUof1EsTviMGzeOHj9+TIULF6bBgwdnEj78xp48eZJCQ0Pps88+o6CgIFq0aBH98ssvNGbMmGz/Hwif/IF/VL5p2ZjerlVNdqDsK2LT7F+nL9CeW3e01ScKDYoXoQ9aNqb2hQPJycaGOEg938GF9kfFiGGRza/G6ANkLLjii70rXzVtIEdVHEHg1BBPFI9OStaLIpRvUI8q1a1JPUoVoxaR4eSRkEDJ9va0vWYtOufhSRf/O0gX9uyni/sO5NkR5rNoWqKIHPEHcbVVcgp9vGUnLTh+hnSLnviHuHq7llS9dQsqXbcWedvaULuDByk4MoL43d1btRqdLlWKoiMi5bUdWrU+X4eG6rbtX9ijPXXRTHjnnjtsys84a4gb1rH/p+zLdeT3yDY9nRqdPkVVr6sr306WKk17q1ZVDw29eZu2zftNJqfn9Q7TUNr5r96d5XPJvrg3Vm/S+tEUWLDyTlTpecVwJM7jxEnqf/sW2ZOKzhUqTDvr1JHXx7dxCmnd9zPz9XvIw0M5pde+bEkRrpya1zUEK9+5Dh++K4UB/Bll2Bdz/fgpSr5zl2YXDaKirs500daO1jZoSG6aAxPufs7etew0Os0tuGUHp2S5gm7b1RvSnTtjFJ5nn3GTTyXlf+fcBRl3cm7XHhEzXKzQs3I5uhufQGNUDlT9le4S5WFbATcDFVGXBzPBjIHFCR+FAQMG0IwZMzIJn7Zt29KGDRsoODiYHjxQh+OGDBlC3333Hfn5+VFKNvsaQPjkL1wKy16ITuWfTC/mBmhc2cM7Gi6RL+rlIbNjFPgLzwMrM/5YmyLcLG9B9/ZUOcBPrnM+nXuc8BEbw0feXAHH5kWOFDFXH0XRa+u3S0k3+2Nyy9SbU9jLtKB7O+2ML+5t8tPhE7To5DlJ8ylw2u+Dl2vLbCpXezuKTUunbx48osMxcXTjxCkJq5vaDy2nTliYf9qwjlw/FxZOY3bs0Zbz68IG2jbdOtDYwgFUOk29E9pbtBj9FZ9EN06fo1snz0jJsSm9jzw5nSM/vAPlDuQsfnZcy2xg5dRVg1d6UKma1amJKo0anzopA22vFCpEW2vXoUcPHooHj4dvmkpahH8z/ujVUYQrV5PygNSV5zL3YeL+UDwzjHt8scnbKzaWOu3/j7xjYynK1ZWWN2tOiU5Oksbc+r/52SpGyAu4vJ7T6fzesXDlqfe66WaGmx2yX45fm4NmmCsflbx85AjVvHuH0mxsaFWTphRWsKA28sVVhXk5a9AYWJ3wGT9+PHXu3JleeulJmLx48eJ048YNWcbRIEM4OjqSk2Y2k7LhQkJC4PHJZ9gYPPClytS+bCmZ0ZQRjiqsOHeJ5h87TQcNVISZMvxD/E6d6vTGS1WoUsCTtFZGeEQE9wL67fgZvfy9KcMC4aOXa9PoxvXEh8DwurO5W+nRw74EBZ6x1H/lRoM9nUwR7nEypW1TGXHBcB8eTn1x36qQ6BiqHOBLr1StSK1KFRMRy80eeUdrSCCZGtxU8Y9enahKoFqU/3jgGP1y9FSmlDNXZs7t3IaalFCnbnc/jKR3/j1EjyMj6dH9MJMQA4YMwRy1UwbTciT5ky27pEllRrig4tVObWhyycLkYWNDj+0daKqjCx2+cJnunrsoEWVjtxnIKQ2KFhLDM7fw4C75fZb9rXewocDpufp9utPLvbpSl3t3qcqNGyIA/qlRkw65uUv06vjGbUYfX5JXWJ3wmTdvHhUrVkwiPwouLi4UHx9P7dq1oy1bnnRG1WXs2LGSRssIzM2msyOtERRILwX7i/eAj9i4+/LuG7f1UkTmCne95shHRX8f6Y7KKb1YHth69pIMq8yYTjEX+Oizb9UK9F6dl7TRLQWu4tt0+Zp0tjZkZDeHruZcgTasXg0ZAJoVB26HSCTyaha9rUwRZ3t7qdZjYa7Anay3X7spYww4GsnijkvhWdCyF49bGZjD55TTzV+3aEQfvVxLmg9yqT03V2ShcPNxlKRl+YCLP7eDalSR18jz29gbZA7RZO7uzKNJ2DbAo2W41cXSM5lL2b2cnWhq22bU/6XK8r59efay9CTKLx+d1QmfyZMn06hRo556n/Lly9OlS5dyTfgg4gNA7lI90J8KuDiRDf/ZcCQrSnY05g43e+OSaRYD3NCTiwDYsL7i7CX668wFg+Z8c4FTXyx+WmoiVxnZfvUmDV2/3SzfR65gmte5jYxfUeDRE3wgxV27FbjI4o01mzKljUz9QOr37u20VgAWddyugJtwPk5Mkiq3N2tWFXHEbRUGrd5sUByZK2YhfHx9fcnH50nY2xDXr1/X8+cYO9WVEXh8AADgyXiNTuVKU61CgXQnKpouh0dKLypzFnVK6ovbQ3Dvrwp+PhLdYbgpIHvuuLzfkMfJXFLpHzeoJenmrCKSZ8Me0ufb92Qyeps7z7P/VpnTacCAAapHjx5lWt62bVtVamqqys/PT7vsrbfeUj1+/Fjl6OiY7ef38PBQMXye368VJ2wDfAbwGcBnIHc/A3a2NqryvgVVTYoXUbk42FvM9i7h7aWa1bGlalP/nqqTQweq7o8cqtoyoJeqTekS+b5uuXXK7v5bLXPNAO7RU7BgQSpatCjZ2dlRtWrqbrVXr16luLg42rZtG50/f54WL15MI0aMoMDAQJo4cSLNmTNH+v4AAAAAGeGmjRzF0u2qbgnceBQlw0yBYVTmcFqwYIHKEE2aNNHep2jRoqqNGzeq4uLiVA8ePFBNmTJFZWdnlyuKESdsA3wG8BnAZwCfAXwGyGS2QXb332ZX1ZXbwOMDAAAAWO7+Wz3MCAAAAADACoDwAQAAAIDVAOEDAAAAAKsBwgcAAAAAVgOEDwAAAACsBggfAAAAAFgNED4AAAAAsBogfAAAAABgNUD4AAAAAMBqgPABAAAAgNUA4QMAAAAAqwHCBwAAAABWg31+r4ApDzsDAAAAgGXttyF8sthwISEhxn9XAAAAAJDr+/GnTWe3ISJV7q6C+REcHPzUjfaibwSLqUKFChn9uQG2c16DzzO2syWBz7PlbGf+H/fu3XvqfRDxMcCzNlpO4Dcbwif3wXbOG7CdsZ0tCXyezX87Z+d5YW4GAAAAgNUA4QMAAAAAqwHCJ49ISkqicePGyTnAdjZ38HnGdrYk8Hm2ru0MczMAAAAArAZEfAAAAABgNUD4AAAAAMBqgPABAAAAgNUA4QMAAAAAqwHCJ49477336MaNG5SQkEAHDx6k2rVr59W/tgoaNWpEf//9t3QFValU1KVLl/xeJYtk1KhRdPjwYYqOjqawsDBas2YNlS1bNr9Xy+J455136NSpUxQVFSWn/fv3U9u2bfN7tSyakSNHym/H9OnT83tVLI6xY8fKttU9XbhwId/WB8InD+jduzdNmzaNxo8fTzVq1JAftK1bt5Kfn19e/HurwM3NTbbr0KFD83tVLJomTZrQnDlzqF69etSqVStycHCgbdu2kaura36vmkVx9+5dEZk1a9akWrVq0c6dO2ndunVUsWLF/F41i4S38ZAhQ+Q3BOQOZ8+epcDAQO2pYcOGlJ/wrC6ccnEbHDx4UDVr1iztdRsbG9Xdu3dVI0eOxHbPhe3NdOnSBds2D77Xvr6+sr0bNWqE7Z3L2zoiIkI1aNAgbGcjb1c3NzfVpUuXVC1atFDt2rVLNX36dGxjMu42Hjt2rOrEiRMms10R8cll+IiYj9p27NjxRGmqVHK9fv36uf3vAchVvLy85DwyMhJbOpewtbWlPn36SFTzwIED2M5GhiOYGzdupH/++QfbNhcpU6aMWBGuXbtGS5YsoSJFilB+gSGluYyvry/Z29uLH0IXvl6+fPnc/vcA5Bo2NjY0Y8YM2rdvH507dw5b2shUrlxZhI6zszPFxsZSt27d8tUXYYmwoGT7ATyXucuhQ4do4MCBdOnSJQoKChLPz969e+Uzzp/tvAbCBwDwwkfK/MOV37l6S4V3EtWrV5eoWs+ePWnhwoXisYL4MQ6FCxemmTNnilctv0coWDpbtmzRXj5z5owIoVu3bon/9bfffsvz9YHwyWXCw8MpNTWVAgIC9Jbz9dDQ0Nz+9wDkCrNmzaKOHTtS48aNJXwNjE9KSoqkBZjjx49LVGL48OFS8QVyDlsQ+HeYt60CR+f5Mz1s2DBycnKi9PR0bOpcgCsVL1++TKVLl6b8AB6fPPjxOnbsGLVo0UIvRcDXka8H5ip6OO3SvHlzunnzZn6vjlV5fXhnDIwDe3o4YslRNeV05MgR+uOPP+QyRE/uwX61UqVK0f379yk/QMQnD+BSdg5THz16VHqgfPjhh/LGL1iwIC/+vVXA21P36KFEiRJUrVo1Md3euXMnX9fN0tJb/fr1kz5JMTEx2kgmH8ElJibm9+pZDJMmTaLNmzfT7du3ycPDQ7Z506ZNqU2bNvm9ahYDe0syetPi4uIoIiICnjUjM2XKFFq/fr2kt4KDg6W1S1paGi1dupTyi3wvLbOG09ChQ1U3b95UJSYmSnl7nTp18n2dLOnUpEkTlSEWLFiQ7+tmSaesGDBgQL6vmyWdfv31V9WNGzfk9yIsLEy1fft2VcuWLfN9vSz9hHJ2ypXtunTpUlVISIh8nu/cuSPXS5YsmW/vs43mAgAAAACAxQOPDwAAAACsBggfAAAAAFgNED4AAAAAsBogfAAAAABgNUD4AAAAAMBqgPABAAAAgNUA4QMAAAAAqwHCBwAAAABWA4QPAMCi4FEwa9asye/VAACYKJjVBQAwG1SqpzeaHzdunEww50HAAABgCIysAACYDcpQVKZPnz40YcIEKleunN7gSR40CQAAWYFUFwDAbAgLC9OeeCI8R4B0l7HoyZjq2rVrF/344480ffp0ioyMpNDQUHrzzTfJ1dWVfvvtN4qOjqYrV65Q27Zt9f5XpUqVaNOmTTKFnh+zaNEi8vHxyYdXDQAwJhA+AACLZ8CAARQeHk516tShWbNm0dy5c2nFihW0f/9+qlGjBm3bto0WL15MLi4ucn8vLy/auXMnnThxgmrVqiWiiKNNy5cvz++XAgAwAvk2Gh4nbAN8BvAZeNHPwIABA1SPHj3KtHzBggWqNWvWaK/v2rVLtWfPHu11W1tbVUxMjGrhwoXaZQEBASqmbt26cn3MmDGqLVu26D1voUKF5D5lypTB5xafW3wGyHy3AczNAACL5/Tp09rL6enpFBERQWfOnNEu4zQZ4+/vL+fVqlWjZs2aSZorI6VKlZLUGADAPIHwAQBYPCkpKXrX2RuUcRlja6vO/ru7u9P69etp5MiRme5z//79XFxTAEBuA+EDAAAZOH78OPXo0YNu3rxJaWlp2D4AWBAwNwMAQAbmzJlDBQsWpKVLl4q5uWTJktS6dWupAlOiQgAA8wTfYAAAMJDOatCgAdnZ2UnFF/uBZsyYQY8fPxaPEADAfEEDQwAAAABYDYj4AAAAAMBqgPABAAAAgNUA4QMAAAAAqwHCBwAAAABWA4QPAAAAAKwGCB8AAAAAWA0QPgAAAACwGiB8AAAAAGA1QPgAAAAAwGqA8AEAAACA1QDhAwAAAACyFv4PxZ6vWq+cjdcAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PySolver Times\n", "# CyRK v0.16.0 (njit-off)\n", "# terminate off: 1.20ms; 1.22ms; 1.73ms\n", "# terminate on: 612us; 631us; 620us\n", "# CyRK v0.16.0 (njit-on)\n", "# terminate off: 642us; 634us; 648us\n", "# terminate on: 314us; 310us; 314us\n", "\n", "\n", "terminate = True\n", "solution = run_pysove_with_events(terminate)\n", "\n", "%timeit run_pysove_with_events(terminate)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(solution.t, solution.y[0], label='y0', c='C0')\n", "ax.plot(solution.t, solution.y[1], label='y1', c='C3')\n", "ax.plot(solution.t, solution.y[2], label='y2', c='C6')\n", "# Event 1 will be dots.\n", "ax.scatter(solution.t_events[0], solution.y_events[0][2, :], c='C6', marker='o')\n", "# Event 2 will be X's\n", "ax.scatter(solution.t_events[1], solution.y_events[1][0, :], c='C0', marker='x', s=120)\n", "ax.scatter(solution.t_events[1], solution.y_events[1][2, :], c='C6', marker='x', s=120)\n", "# Event 3 we won't plot because it should be every point.\n", "ax.set(xlabel='Time', ylabel='y')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "94fa0283", "metadata": {}, "source": [ "## Parallelizing `pysolve_ivp`\n", "Example of how to parallelize `pysolve_ivp` using Python's [multiprocessing](https://docs.python.org/3/library/multiprocessing.html) package.\n", "\n", "To ensure that the workers don't try to read the entire Jupyter Notebook thread we will wrote helper functions to a\n", "separate file found in this directory called \"pysolve_parallel.py\"" ] }, { "cell_type": "code", "execution_count": 20, "id": "8e76e9f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Triggering parallelized cell...\n", "Working with 1 processes...\n", "\tFinished in 6.15 s.\n", "\n", "Working with 2 processes...\n", "\tFinished in 3.27 s.\n", "\n", "Working with 3 processes...\n", "\tFinished in 2.35 s.\n", "\n", "Working with 4 processes...\n", "\tFinished in 1.87 s.\n", "\n", "Working with 5 processes...\n", "\tFinished in 1.58 s.\n", "\n", "Working with 6 processes...\n", "\tFinished in 1.48 s.\n", "\n", "Working with 7 processes...\n", "\tFinished in 1.35 s.\n", "\n", "Working with 8 processes...\n", "\tFinished in 1.25 s.\n", "\n", "Working with 9 processes...\n", "\tFinished in 1.22 s.\n", "\n", "Working with 10 processes...\n", "\tFinished in 1.20 s.\n", "\n", "Working with 11 processes...\n", "\tFinished in 1.20 s.\n", "\n", "Working with 12 processes...\n", "\tFinished in 1.26 s.\n", "\n", "Working with 13 processes...\n", "\tFinished in 1.22 s.\n", "\n", "Working with 14 processes...\n", "\tFinished in 1.19 s.\n", "\n", "Working with 15 processes...\n", "\tFinished in 1.18 s.\n", "\n" ] } ], "source": [ "import multiprocessing\n", "import numpy as np\n", "# Import the functions we just wrote to disk\n", "import pysolve_parallel \n", "import time\n", "\n", "def run_notebook_parallel():\n", " num_simulations = 500\n", " base_y0 = np.array([10.0, 5.0])\n", " \n", " # Create the task list\n", " tasks = []\n", " for i in range(num_simulations): \n", " # Note: We pass 'pysolve_parallel.my_diffeq', not a local function\n", " task_params = (\n", " pysolve_parallel.my_diffeq, \n", " (0.0, 200.0),\n", " base_y0,\n", " (1.5, 1.0, 3.0, 1.0),\n", " 1e-5,\n", " 1e-8\n", " )\n", " tasks.append(task_params)\n", "\n", " # Use 'with' context manager to ensure pool closes\n", " # We use pysolve_parallel.solve_worker so the parallel process can find it\n", " for procs in range(1, multiprocessing.cpu_count()):\n", " print(f\"Working with {procs} processes...\")\n", " t0 = time.perf_counter_ns()/1.0e9\n", " with multiprocessing.Pool(processes=procs) as pool:\n", " results = pool.map(pysolve_parallel.solve_worker, tasks)\n", " t1 = time.perf_counter_ns()/1.0e9\n", " print(f\"\\tFinished in {(t1-t0):0.2f} s.\\n\")\n", "\n", "if __name__ == \"__main__\":\n", " print(\"Triggering parallelized cell...\")\n", " run_notebook_parallel()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }