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Monte Carlo numba pro example
{
"metadata": {
"name": "MonteCarloCUDAPython"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# A Monte Carlo Option Pricer\n",
"\n",
"This notebook introduces the vectorize and CUDA Python features in NumbaPro to speedup a monte carlo option pricer.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## A Numpy Implementation\n",
"\n",
"The following is a NumPy implementatation of a simple monte carlo pricer.\n",
"It consists of two functions.\n",
"The `mc_numpy` function is the entry point of the pricer.\n",
"The entire simulation is divided into small time step `dt`.\n",
"The `step_numpy` function simulates the next batch of prices for each `dt`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np # numpy namespace\n",
"from timeit import default_timer as timer # for timing\n",
"from matplotlib import pyplot # for plotting\n",
"import math"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def step_numpy(dt, prices, c0, c1, noises):\n",
" return prices * np.exp(c0 * dt + c1 * noises)\n",
"\n",
"def mc_numpy(paths, dt, interest, volatility):\n",
" c0 = interest - 0.5 * volatility ** 2\n",
" c1 = volatility * np.sqrt(dt)\n",
"\n",
" for j in xrange(1, paths.shape[1]): # for each time step\n",
" prices = paths[:, j - 1] # last prices\n",
" # gaussian noises for simulation\n",
" noises = np.random.normal(0., 1., prices.size)\n",
" # simulate\n",
" paths[:, j] = step_numpy(dt, prices, c0, c1, noises)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Configurations"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# stock parameter\n",
"\n",
"StockPrice = 20.83\n",
"StrikePrice = 21.50\n",
"Volatility = 0.021\n",
"InterestRate = 0.20\n",
"Maturity = 5. / 12.\n",
"\n",
"# monte-carlo parameter \n",
"\n",
"NumPath = 3000000\n",
"NumStep = 100\n",
"\n",
"# plotting\n",
"MAX_PATH_IN_PLOT = 50"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Driver\n",
"\n",
"The driver measures the performance of the given pricer and plots the simulation paths."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def driver(pricer, do_plot=False):\n",
" paths = np.zeros((NumPath, NumStep + 1), order='F')\n",
" paths[:, 0] = StockPrice\n",
" DT = Maturity / NumStep\n",
"\n",
" ts = timer()\n",
" pricer(paths, DT, InterestRate, Volatility)\n",
" te = timer()\n",
" elapsed = te - ts\n",
"\n",
" ST = paths[:, -1]\n",
" PaidOff = np.maximum(paths[:, -1] - StrikePrice, 0)\n",
" print 'Result'\n",
" fmt = '%20s: %s'\n",
" print fmt % ('stock price', np.mean(ST))\n",
" print fmt % ('standard error', np.std(ST) / sqrt(NumPath))\n",
" print fmt % ('paid off', np.mean(PaidOff))\n",
" optionprice = np.mean(PaidOff) * exp(-InterestRate * Maturity)\n",
" print fmt % ('option price', optionprice)\n",
"\n",
" print 'Performance'\n",
" NumCompute = NumPath * NumStep\n",
" print fmt % ('Mstep/second', '%.2f' % (NumCompute / elapsed / 1e6))\n",
" print fmt % ('time elapsed', '%.3fs' % (te - ts))\n",
"\n",
" if do_plot:\n",
" pathct = min(NumPath, MAX_PATH_IN_PLOT)\n",
" for i in xrange(pathct):\n",
" pyplot.plot(paths[i])\n",
" print 'Plotting %d/%d paths' % (pathct, NumPath)\n",
" pyplot.show()\n",
" return elapsed"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Result"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"numpy_time = driver(mc_numpy, do_plot=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Result\n",
" stock price: 22.6400754927\n",
" standard error: 0.000177309073507\n",
" paid off: 1.1400801894\n",
" option price: 1.04892441049\n",
"Performance\n",
" Mstep/second: 13.97\n",
" time elapsed: 21.474s\n",
"Plotting 50/3000000 paths"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "display_data",
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HqXRGqXTG1rbZz5aNioIlS6pw4sQJBg+dyFXfG1RyqcsC3+6I4ttUr34UJ/tQevf+hNTU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XvtJlBJcHE2pXXr1rRq1Qq/F37YnLah6fmmWIZZkrkoE2W2Ep+1Pjx4/IBL589g5XGTps3TyHhs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UUY\nGhoKd3d3sX79+gdu+6JFi4Svr68IDAwUBw4c+MP1P/QkbRKJRCJ5PEh34JJIJJIWRgp+iUQiaWGk\n4JdIJJIWRgp+iUQiaWGk4JdIJJIWRgp+iUQiaWH+Bz0so2iD7iIkAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Vectorize\n",
"\n",
"The vectorize decorator compiles a scalar function into a Numpy ufunc-like object for operation on arrays.\n",
"The decorator must be provided with a list of possible signatures.\n",
"The `step_cpuvec` takes 5 double arrays and return a double array."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numbapro import vectorize\n",
"\n",
"@vectorize(['f8(f8, f8, f8, f8, f8)'])\n",
"def step_cpuvec(last, dt, c0, c1, noise):\n",
" return last * math.exp(c0 * dt + c1 * noise)\n",
"\n",
"def mc_cpuvec(paths, dt, interest, volatility):\n",
" c0 = interest - 0.5 * volatility ** 2\n",
" c1 = volatility * np.sqrt(dt)\n",
"\n",
" for j in xrange(1, paths.shape[1]):\n",
" prices = paths[:, j - 1]\n",
" noises = np.random.normal(0., 1., prices.size)\n",
" paths[:, j] = step_cpuvec(prices, dt, c0, c1, noises)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cpuvec_time = driver(mc_cpuvec, do_plot=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Result\n",
" stock price: 22.6402929321\n",
" standard error: 0.000177255366301\n",
" paid off: 1.14029773991\n",
" option price: 1.04912456662\n",
"Performance\n",
" Mstep/second: 14.34\n",
" time elapsed: 20.914s\n",
"Plotting 50/3000000 paths"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "display_data",
"png": 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M6cTEwJQpMGYM/PqLhUoFCQmaaZ2oKFizRnOlv3SpYH9aKktjY1ELwUQHBwaW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Q/G0iapD5pcLRK5BO+V3riMd3kf3vs1VFoVg04NolRVyqbOm7A3sSEreRaZeTd4o/QkrFBLdGEJ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\n8TmYmdfy4ZZFJH4/GlsbGSXV1ej8vkVd44SuYDBu40/w0JAKtD4+/MvfH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oBjnY6zeUoq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}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parallel Vectorize\n",
"\n",
"By setting the target to `parallel`, the vectorize decorator produces a multithread implementation."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@vectorize(['f8(f8, f8, f8, f8, f8)'], target='parallel')\n",
"def step_parallel(last, dt, c0, c1, noise):\n",
" return last * math.exp(c0 * dt + c1 * noise)\n",
"\n",
"def mc_parallel(paths, dt, interest, volatility):\n",
" c0 = interest - 0.5 * volatility ** 2\n",
" c1 = volatility * np.sqrt(dt)\n",
"\n",
" for j in xrange(1, paths.shape[1]):\n",
" prices = paths[:, j - 1]\n",
" noises = np.random.normal(0., 1., prices.size)\n",
" paths[:, j] = step_parallel(prices, dt, c0, c1, noises)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"parallel_time = driver(mc_parallel, do_plot=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Result\n",
" stock price: 22.6403632127\n",
" standard error: 0.000177277001514\n",
" paid off: 1.14036731757\n",
" option price: 1.04918858115\n",
"Performance\n",
" Mstep/second: 19.04\n",
" time elapsed: 15.757s\n",
"Plotting 50/3000000 paths"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "display_data",
"png": 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StaqIgYGISiViaiox7Ryl27x/yftho0SCgyU+rJc0cF8rqobZYvzDKen1zl4Z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IIg\nCI2MSPyCIAiNjEj8giAIjYxI/IIgCI2MSPyCIAiNjEj8giAIjcz/AdlYIfOrMzvdAAAAAElFTkSu\nQmCC\n"
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## CUDA Vectorize\n",
"\n",
"To take advantage of the CUDA GPU, user can simply set the target to `gpu`. \n",
"There are no different other than the target keyword argument.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@vectorize(['f8(f8, f8, f8, f8, f8)'], target='gpu')\n",
"def step_gpuvec(last, dt, c0, c1, noise):\n",
" return last * math.exp(c0 * dt + c1 * noise)\n",
"\n",
"def mc_gpuvec(paths, dt, interest, volatility):\n",
" c0 = interest - 0.5 * volatility ** 2\n",
" c1 = volatility * np.sqrt(dt)\n",
"\n",
" for j in xrange(1, paths.shape[1]):\n",
" prices = paths[:, j - 1]\n",
" noises = np.random.normal(0., 1., prices.size)\n",
" paths[:, j] = step_gpuvec(prices, dt, c0, c1, noises)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gpuvec_time = driver(mc_gpuvec, do_plot=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Result\n",
" stock price: 22.6402056046\n",
" standard error: 0.000177186192582\n",
" paid off: 1.14021085263\n",
" option price: 1.04904462646\n",
"Performance\n",
" Mstep/second: 19.16\n",
" time elapsed: 15.659s\n",
"Plotting 50/3000000 paths"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
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mxnkVcPCuj5VNNSwtq2JiUgrVj9lOCQm5LA58Do9eE+CyDmOrIAqcoUEnnQz8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\nnsvcuXMwMjL6h8dptfBXU82/kWWfPxNRVsbVevV+dwVWpFZ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NRkOjRo1YunQpb94M4sgR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PDhyw8oEhQEHgv8w/f6d6NO+Ov4l6RQrabJq1fs9/en63818wOo0dRw6M0h1j1eh6elJ2eGnvmr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\n"
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the above simple CUDA vectorize example, the speedup is not significant due to the memory transfer overhead. Since the kernel has relatively low compute intensity, explicit management of memory transfer would give a significant speedup."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## CUDA JIT\n",
"\n",
"This implementation uses the CUDA JIT feature with explicit memory transfer and asynchronous kernel call. A cuRAND random number generator is used instead of the NumPy implementation."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numbapro import cuda, jit\n",
"from numbapro.cudalib import curand\n",
"\n",
"@jit('void(double[:], double[:], double, double, double, double[:])', target='gpu')\n",
"def step_cuda(last, paths, dt, c0, c1, normdist):\n",
" i = cuda.grid(1)\n",
" if i >= paths.shape[0]:\n",
" return\n",
" noise = normdist[i]\n",
" paths[i] = last[i] * math.exp(c0 * dt + c1 * noise)\n",
"\n",
"def mc_cuda(paths, dt, interest, volatility):\n",
" n = paths.shape[0]\n",
"\n",
" blksz = cuda.get_current_device().MAX_THREADS_PER_BLOCK\n",
" gridsz = int(math.ceil(float(n) / blksz))\n",
"\n",
" # instantiate a CUDA stream for queueing async CUDA cmds\n",
" stream = cuda.stream()\n",
" # instantiate a cuRAND PRNG\n",
" prng = curand.PRNG(curand.PRNG.MRG32K3A, stream=stream)\n",
"\n",
" # Allocate device side array\n",
" d_normdist = cuda.device_array(n, dtype=np.double, stream=stream)\n",
" \n",
" c0 = interest - 0.5 * volatility ** 2\n",
" c1 = volatility * math.sqrt(dt)\n",
"\n",
" # configure the kernel\n",
" # similar to CUDA-C: step_cuda<<<gridsz, blksz, 0, stream>>>\n",
" step_cfg = step_cuda[gridsz, blksz, stream]\n",
" \n",
" # transfer the initial prices\n",
" d_last = cuda.to_device(paths[:, 0], stream=stream)\n",
" for j in range(1, paths.shape[1]):\n",
" # call cuRAND to populate d_normdist with gaussian noises\n",
" prng.normal(d_normdist, mean=0, sigma=1)\n",
" # setup memory for new prices\n",
" # device_array_like is like empty_like for GPU\n",
" d_paths = cuda.device_array_like(paths[:, j], stream=stream)\n",
" # invoke step kernel asynchronously\n",
" step_cfg(d_last, d_paths, dt, c0, c1, d_normdist)\n",
" # transfer memory back to the host\n",
" d_paths.copy_to_host(paths[:, j], stream=stream)\n",
" d_last = d_paths\n",
" # wait for all GPU work to complete\n",
" stream.synchronize()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cuda_time = driver(mc_cuda, do_plot=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Result\n",
" stock price: 22.6397789491\n",
" standard error: 0.000177324589149\n",
" paid off: 1.13978420099\n",
" option price: 1.04865208801\n",
"Performance\n",
" Mstep/second: 427.30\n",
" time elapsed: 0.702s\n",
"Plotting 50/3000000 paths"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "display_data",
"png": 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Y0kuIzEyhqa0VK1euFK6uriI+Pv5xOZ1ONLp5UxzIyxPp6ZnCyChWvPHG4Wfm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Iwj/RwZd9kAuwQNjiMcSYs5RdgndRj/xImWR1XEXXBhY2UOuWo1E5yd+dhawqgzQ8gtz2V1dWuc\nN98kd8GXtL9wAbOXL1FaGnPrizRyFGcZMaIVBQUFnDt3jpMnT9IsNJ5yF2skLpO4nbYL6VMpyeeS\n6dSpE9988w22trYIgj4jtlt3LW/8JrHr6S561enFth7bsDb+Y9fAX8lUKjmZn8/X6ekMsLdnuacn\nBmIxL19C9+768M2FC/W77EK1mviKCtpYWhIf3xtr6y44O4//yXGXLYOYGL2p8L+dGlNPDf8xdDol\nCQlhaLUKAgKO/2Lyym/hZspN7qTewcvKCy8rfV2Y7x7spHr7dZ59W0mtEe0hIYG7lS/Z8GgDN1Nu\n0sO3Bx29OrLu2GOKHB4ye8sK3uVc4bjuADpD0DjLKEgvgBZgEGLABM8J2OfZs3//MRJfN6P14HK+\nE8/Gb5ffewd0VFQU3bp1IyoqCjc3fbtHXbWOR96PCDgTwOs6Ima9foP4ahEDtiq41i6W8NYJlCoS\n0JYlYKiSMeTBKD562oc1NGLyHms6dapk3bp1LFy4kJZNWnJs6TGMLl7CeMs8Ym3XskFxk1DDrjgb\n2GOcqyJOFkvHLiDNS2LRgOE8dFDR3NCM7g2ccDM1IuzuXZYKhuSur0+VkwkLD5pSUVVBVlUV2eXx\nhJ0OY0boDNpKW/JV+w48MzbGLziYR48e0dSzNn3aZ1LuZE9MTBAXoy5SnlGOvK4czxZ2LO+ZzfjN\nnhTcTEEmltEqtBWrVq0iODgY0Icpzp0Lt27p/esSiUB8XjyB9oF/iBP/HzlfUMCa9HReVFTQ08aW\nXiInGhpboNHAy5d6u/zq1TBixI+Prap6w9OnoTRrlopEIqe0VG8SvH0b7O31lbgTEyEq6o8p6fBn\nUyP8NfxH0GoriI/vg0Rihr//YcRiwz9k3O/jTzPm+BDGZNiTEeROirkWnVZG9uodnO79iAaXV5A1\nrA/j3J8TnxfPnJZzGBgwEAsjCzZtgqeZa5E9d+D6vbmYeBQyVAvuezYiNbNAk67h4HcHuXLpClI7\nKS7+XogzFpDulMhp26Z0Pdr1fSmA0tJSGjduzJIlSxg4cOD780vbkM79BzmUVmshuZpXHmo+uC5F\nooNcOyWJHhnsbL6QXjG96BPZl7QGMhb7ONO6eQ6WpQ849+23ONk7kmfgzGdGU2lVJeAdM527Np+i\nzLNCamKOc/9aPCy/xv74/Rw/sIuTW7fyzbBhDHR0ZLSTE08UCm4UF/MkP5/l27azK3sbSckTyc4+\nj06nwNjYCC1alGolLi6uGIhcUOS8ZF4tJ8Y/i0EiNWbjRgXnzn3N55+vITn5C7J05ZzNOkvE/AjK\ntTm8SJpIlMqcz0LPYC4S8+7dO3x8/lY3KTpaL7A+PnpHpoPDjy7lH8qWzEyWpaWxxceHOgprpkwQ\n8+gRmJnpbfFyOWzY8KP2xu9JSpqCRGKKl9dykpKgZ0/9k8qiRVBQALm5YGEB9X5bV8X/GDXCX8O/\nHY1GQWxsF+RyX/z8diAS/eq2Dr/IlehjDD81lAtZbWjafRxs2YI2/iURuuY0qQjHqH1zDtQXMdP8\nEXPazOPTkE8xlOpvONeuVXHlzhyeldsTt2kdY6c2Y2mBBeLavvDllz+Yp7KykldvxLTtUkKF20l6\n+t/lxKYjSOR6U45arabBvHm8bdeOQHt76puaEmRqSkJpOWfis1k9T0RmHyNitHkM2WnE5s9P8DQ0\njLZFZVxJnIA7HyE27EtycjTVF08hLnuOoaU58gYNKB0yFKWtDbJqLW4pKoafMKb+Mx2nApOJ8MrC\npL0nlVoNuSIRJm5ulAE9FAqWdeuGj1yu/wKCAG/eUPXpNNY/D2Kt7ns+/DCEL79czcAwOZXtJyOp\nFcWnlodYOVuCp20SB2PH0lcWjkWLQN69g9DQp4wZ04Xg4FNYWrai1Z5WTGw8kda16hIV25tHQkPa\nBWymo80PFV0Q9M7Pdev0r8GD/1jHZV6e3tSi0YBOByKRwGPjfO6aZHOpky/hh41ZskRfSHXmzPdt\nEn4RjaaEhw+9aNw4jogIF8LCYPFiGDfujzvvfzd/elnmGmr4e7TaSuLjP8TEJBBf3y2/qYdombKM\n4qpiXM1dfxDhodQouXZvD2OuTeKsOAy7+XuZvVPMpYKPMFUlMDnkAYb7v+NIYTir7i3j1eik9zZ6\ngMRELVFPh3IHa95sXM2qWTMZP+ojfVjFm+9+eBLV1YR/fovRJ7oxzaYac08Vg5asfy/6hWo1TY4f\nJ7dhI66GNAMDMc/Ky4ktL8c6Wsm+1VIiulQRIa9m6no5M4fMxLPTMrY5GDL60Hi4/RVtg0az+/EM\nhPiDfDFlLdOmdadUqaRNbBx2MbnUXXODnrl18MyywNb0KJ06VlDdOAiduQOeN67zmUKBb1YW7gUF\nmBoYUGlmRuWSJTzUajGsqsInN5dyQeCGiYSvK8P5fMl85kybQ055DqJRHcmNdqb/sYW8Ko/nQlg1\n9TIvQ+O+3FwTSHg4mJsnY2jYAx+fbVhatuJeagTvVDpUkkKiYtryynI2Q60+x7z6h/IgCPp0ifPn\n9bZwZ+d/YQH9YDyB6PJyjuTm4mBgQOtyR4b2NCAkRG9+KddpiCop512aDIe8IEJGi2nWTB9e6fcb\nGlplZ+/ExqYbp0+7MHWqPnLn/3q/p5odfw2/Gp1OSXx8L2QyO+rU2febRD8yLZJBpwahE3QUVhbi\nZuGGtZE16SXpFFQVUKtIyrfyafh3m0vXwQZ0HyChX38RTZroH+WzFFnU31qfS0MuEeIc8n7c4mJY\ns2YK1zOieHX0JRv7zGfEpuH6wOmWLWH+fARBH1539iyc3Z5LcY6Sr00v0nhGV9znuyOS6Lesy3ZU\ns2CeAGUg1hghlYro2hVGjQJ/7VUOHHnG7p4heKaImfUNnJx9BaOACjq8bsvo0k+xv7GB01sGc/jm\nHDbN28Qyn2WEZIVQZq9h/BwVE1dW4ZKgoEqs5HqdV6wvOMrJwX3Ycfs2T6OiUG/YQPXChQwNCuKZ\nVIqpohznsmosdBLMLEwwMTOkxFDMfQMRWYVleElkeA3wI8K0gFqOzVGVv2Cwkx3jn+aguRWJq7wF\nUrlcbw9ZsIBSMwOG3ZjHUPkx3llOINZ4ELkqFS8KY5kq3oJtsY7ncQeJuurNy5f6BiWTJ+s7VBkZ\n6fuxX7gA4eH/vEWhIOht5gYGepu5SKRvHp5SXU1yVRWx5eUcyctDqdMxxMGBmCciLk5wpv7EfPqM\nUnOhsJCU6mp62diwpnZtrGUydLrf3jRFEDQ8fFibly9P8+WXjbhyBQIDf9sY/43UmHpq+LcgCBpe\nvBgAiAgIOParzTuCIPDNg29YfX81C4N3U/KkO89fVEPMY0Ir4nAWnHBTqDEyl6B28CL1uQpLkRoT\neyl2fe2w7WeLeag5PY/3pIFTA5a0W/J+bI0Gpk9exPXzuxDnW/NVk3H0+6AI8ca/2CBWrQK5nLlz\n9f28P+pUyof7BmJt3B5/1iB+Ff/eOH3rVh4de1tgFLqciBWjCAryoLxcx5JjRewtTqHIvwqHHBG9\nHgsMuSLDdr8lrZ604qM3H3HE5jgDzi6jY6kdKcVJrFKuYnbz2Xz8xcdIyx/TpSCP/htMMHybw0Gj\nvWwwekvTwADUHh54hodz4vhxmu/aBfv2IcyYwYlPvuD4LgPu7DVh7kwxfn6wJfwCl6UfI302kZED\nRqCoq+L4ZDuch75jROghGlbtRyrSUCDYUqCywNFAgZ1Mg0/tFXg69ONw8lUepHxDZ9kDbqlb8r0i\nkJmNx2BWtBt5wTfYmS2hX5/ZdOki4qOP9LbynBy9SeXpU32BsadP9aL/+LH+RtC27Y+FOClJn8R0\n9CiUlekFv0whYORXSWHLTLwHlOBtbIyfXE4fW1uam5tz9aqIYcNg43YtpU1zSayspIeNDa0tLJD9\njvZYwl963r54kcHMmRe5fv1/w3H7a6gR/hr+Lbx5M42KigSCgi4gFv+65qRanZbBpwbzruQd3StO\nsGmZO8OHQ4v8TGxupFMwJ5jr886wVL4Mi6Ro+oYZYW8PO3YIVCVUkn86n/xT+SheK1CKlJgamCIS\ni5BZyxCsBC7lXWRT+iaaufSkxzwXJizdD61awdKlULs2oN/pd+oEt44WYNO7PwUiGz73KefT8lQ8\nRBJuM5arafe4yloMBxew9+47PAQ3XjpoWDZKhdq4mCaJGaQY16fz9yIaphghPZTH2KujqIqpRpck\npjJVAYIO/mLrNnUwZeH0LxkUEcFUv5b03O9Hcm4Ex9xOET16OCZr1wIw08MDZVER3yoUUFWF9uBh\ntuR/xKJF+oiTBQvAzELN3PC5HH9xnKP9jtLUJZTqamjXrhoHhxfcu+fG4sX7GDSkCXdevqJVryl8\nNtqekhbNUYiNGG16Bwk6rCkkW9aaIQ2/Q6vO5/jj0TiJXpKvtaHEKIwbq9cRHAzLl//4Ol69Cvv3\n652nubn6doW1aumdokOHgq8v3Lmjj5BRKqF/f/19t2lTgSMFeUyPSqVVriuxK534dLyI6dP/NvaF\nC/ponD+qauVfEQSB6OgpJCY+ZdOmq5w5Y/qHlkz4T1Mj/DX86eTlnSAlZRaNGkUjk1n98wP+wqLb\ni7jx5jaWF6+QnW7I0aNgeCGdzI2Z1A+vj5GsEG1wA8Y4Xea2ohE+PnDpkt5hV6bREKMoYW/SXc7H\n3aefX19s5HZoKlNonHyU59cfsOl0Bk0njMC0lwOnZl1CNHCwvjLmX6jKUtGijYjassf0rHpEj4xF\n7P3yCxq0aEHpmXxMd1cwf44TZc+dKXljz/rtaroYWrBDW8Ci0nSkFeXYFVXx8fFnDLzzhLKgYYxU\n1yc6oxtCWRoOJn7kVuRj1QyqWlRSx64OTZ2b0q6sHi6TZ7G//zQ6n2mJYfUhOotPIkPQ5/avX8+z\n9HQWT53KCbkcSbduRI/4lnGzrTAxFegx+whvtRHE5cURlxtHK/dW7O21FysjEwoLH/LRRyYYGaWw\naVM0ublT6d7LCvue09he6wDSYDHYGyKRmGBqHkqGbAAPsi7T22c4fpZWJCVNobr6LQ4OIziWWsLK\nh3uZa5DFyaNyIiN/2Vmq0ejFecwYvWM0Lg4OHNBnp7ZurS+X4een3+WnVlcz/vVrslUqdvr5EWJm\nRlqa/qYxa5Y+u/XcOX21yu+/hyZNfs8K/SHV1QInTsxEqbxDWdkNJk+2+FVO4P8laoS/hj+ViopE\nzkc2p9B0IhYmvgytN/RHMdoPHjwA9J3Y/kr423AGHg5j8JZpNGzgTdgyf/LvmpCxPpvgqwG8TH3M\nosGDUZiYUGHvwIvcUnQyLTqJGI1IhM7ZCVFjX2wbuNPDtwl+1t6UlsQRnfuQm1erkOzZQcDKIRT7\nNOXZw2TMbj7Qb03FYtSFauJ7PmdvjCWnjc0p2hWDiVjFKKmEyeoQsue+pVRTxu6OlfQ5ZoRIa0iV\nCbiYGxLZXsSB9iqss99wbN4mXCteUyqtjy7Ih9Np3zOuogjqC7QSRtCgaV2iH59n/ZH11LGvg6nI\nEE6dQjliBB8NG0n3672xal3FgIDXsHatXjErK9GdO0dOTg7mchMejj3K2rjOPHsGq1YJxDlMJinn\nMv28m1JLLuLepRAi7gbg4RGFp+cT7t8fRFlZAy5dsiamIJEtEWPwLrXiuwVnmNbkaybt/xBz25bo\ndEpSUr6goOACvr7fUVwcTm7uQTw8FuLsPO69qe7x00q6d5bz4AF4e//yWli9Wv8T37jx85E8OkFg\nc1YWX717x3RXV2bWqvUDc01yst5E1LOnPnrn4kV9yeJ/BUEQfrAWtVo4fLiYlJQv8Pd/QkhIOJ6e\nf04S2X+aGuGv4U/j6/urWHF3PgZSM9p7deNZzjPae7ZnXed176NyIu9H0rVHVwyMDAj2D2bR/AV4\nJMfR6PUMtp40oIl7L1zMFFQ+KyImbQYNjT8nSvmWfoLAV/7++K5dy/dVVYRXVjLJ1RWppoolN2Zh\nXSTD6LUhcdGxBAfXQi6voMjakOfquujuRSJes4oezm/on2yDzaylaDZsQGRnR9gFLIcAACAASURB\nVK0KMZYTjpFbqqS1eAdmqyI5fHI5xpbBLOjSn7eWGhZtuUpRZVucMwz5xlVLxnAVzlopZsUGtL0t\n8OGTy9RVb2F3kAfKiiFEDqjm9IPvcb3/lHYNjQkvsyf9VTqCWMyYPXv4troag4sX4do1cquq6DZg\nAA3Vg/kk25pmojmIZFLYt4+nBW48fKhlzeqe1K42IaliC/Xb2zB0aCJ1664lKfcMJqISLMyCMTcN\npLS0Id27f8qsWZEkJhaSkGCJkZEZC76cAKLnVGjA2MiFAM1gFANv09P0Hl17GrB2LUj/4oIpKrrC\n69cTsbJqj9xlIdcVEnJVKtyMjLCuNmR6N3NmzRQzcuQvr4XERL2v/MkTfV/Yn0Kp09Hp+XO0wE4/\nP+r8Nfz0J8YaMwY2boSGDX953sxMAQuLREpLb1JcHE51dQpqdSFqdRFisREODoNxcBjJ7dsNOXdu\nP717z8HcvDfNmy//TU+n/2vUCH8NfwrvipOpv9WfQx260jXkNGKxmJLqEvoc64O1sTUH+xzk9L3T\njOwzkoCxAbgEu3D37G1Et6oQrATqBARzYcN9HD3lCBqBpy2e4jjEhjjXpwwfP57Dhw/TsWNHEisr\naRkTw4MGDXCS6uh04ANaugQyo2Fn8vOPk5Z2lfO3grisc0ZRbEigqpAxPQw59LiA6y2n47tvH+5v\n3+JgbcOo5zLsi0PIoQW9fEOQ+pQz1Dabk13VVMtBY6ilY7iCUVssONNLzNFG91GVLcHAyJm9Vy15\n5+xP8Js3tHsSTVgvP255pqPCiOr75ZBdTb+RwWxdHkNLsQmCuwut7ewYHxlJibk5JwSBK6WlfPiN\nB/a16tJq0WCalnyD4Sd9Yd48rt0QM3SYgK3jJMoqHvDh7I/x9NbhaxKHRdUxoio8eVosYmPQYtIS\nx1Btq2bRys3Y2yfz2WcncHIah539YPY8P8aCWwsYETyUWc3GYJNniKhlSzh0iOKGHRgwQC/6R4/q\nE5LyVCq2ZWVxtqCAlOpqOllZ4WZkROJbHTfHu6JrUMTFbXI6WP+8SGq1etdJWBhMmvTza2ZndjbH\n8vK4Wq8e4t8R3C8IAgpFFPHxR8jMPI5IJEWj6UBQUHvc3QOQSq2RyaxRqwt49eoAb9/uRSIpQy73\nonHj7zA3/xcfIf6HqBH+Gn6Sc4nneJ77nGnNpmFmaPbPD/g7dDol/Q/4YmtowNYBcT/ojqXUKBl5\nbiT34u+RsyGHcTPGsWnOJspfXeDqo/4cSJHz/IUtusfvsLV1Zu7cryn/voLkR8lUd69m/4H9nD17\nltDQUDSCQPOn0fQzyaKzahspubcwlyqRikSAQB4e7Msfxi3r+tiW3KfkzU5MS6vJLa9i8MNajFNZ\nM2rxYgZpNAwafYpLjrVp7NKcsVYhJMcYYTw3AaVajNUBN/xf5NDEoIh2pWK+C3Qmse4ZyoPXow5c\nyiDtW2w2rGTBLTVKCTScYES2oS0kmGBXICHrWRKGjbyo6CrmizUZNCktxzAggG55eSi++II9ly/j\nHRvL97NcaFS/Cp+LzRC3PoqltA72jWdRWChm3tI8dF5zyX9cgesAP2o7elDXKAkTCjiV74+hoQ/f\nZrmRYLMcp9KWvF1nzZD0Hbx8XIpZYO33v3tyUTK7eu4i0D6I55EKAj5ujuyzCfDpp4DeDj9tGhw4\nJKAzUVOh1WEqE9O6ncDMj2W0aiEmKgp699YnQDUYUcJHCS84ERBAG8ufLrmxaZM+9v3OnZ8Pp9QK\nAnUfP2aHn9+PxtFqK8jLO4ZWq8DFZdKP2muqVDmUlj6gquoVlZWJlJZGIggiTp8eTKNGg6hduw57\n9og4ehTc3aFpU/2roABWroSpUwUmTXqJhUWd3xRi/L9MjfDX8AN0go5FdxaxJ2YPLd1acjf1Lms7\nrWVgwMD39tAqdRXGsp/ufKXTVfP9g86MvPuQN5+lYy23/9FnFOUK6oXUY+TQkSycv5Ds+/NIyV9J\n3uVhHMzfy4kTUF2dysaNXTmxPx/Ja3dqdarC0VNCly7e1KnjiUxmxfpCGyIVKr4zPc3hlCyyyvOY\nFuBBueNSpj93JUGkwF/7hoq83XxlG8STS7u4dkHDqL4N+NopiYNBC/HdfpkWHe3IL7uCf5kDsaaZ\nCHl1MfP2ZVpONTNelFFU6UiK8CGqp/accygnZuR5yqzvowpYxqR7zxnw7bdkBbgxMegFMVZKnBRi\nUuU6vLK8yDifgemKgRR79sM8V0WZtQmWWjWtslKYXlBJm/XrUbdqxYhmKvqEPMb10BqMz2QSsN2N\n/OblFBTc4M49NTZWl3E1USPIQZACggixVoLny2a45DRF/ewuz0bF4eQ1CdcGa2jWVMdk9wsMuzUa\nZY+urDWMJrWhFxtGHuP5iWy+WGTC83fmtHR9x/EXgT8oDbw+I4PFj7MZYuPIcAcHTHQGnD+vLyss\nCFBUpK9v16uX/vO3iosZmJDAqYAAWv1FtMs0GozEYvKzxQQH67tY1a378+vueF4e6zMyiGzQ4P06\nq6xMIjPzW3JzD2Nh0QKtVgEI1K17CENDF3Q6NZmZG0hLW4m5eTPk8rrI5XUwNW3IwoX1ycgQcezY\n3/wJSqU+pPTRI/1LqYQVK35bMtf/L9QIfw3vUSgVjDg7gryKPE4NOIWDqQMRaRFMvDQRiUiCgEBq\nSSqlylIWtlnIl22+RBA0VFS8oKoqherqtxQUnGHu01Ta+I5ndqsf9xEVBIEhQ4ZgaGjI7t27qXwT\nzrOXH1B+bzPTL43n4UN9vhCAVqnmSZNbmA8txGpoJSKRASqdikiFhssKYy5VOvKNVSazrs6gpVUV\n04MWcjPVkUVGblicNuWbHqtZkHCRXd+r0XpoGXbRmdoBr6ioMsHA/nte1B+GWKyh/rumqBr3Itq1\nIcL0IFrPvEiToBjupd4lLjcOH5UP0kwpifaJOFg7EFCrIW+Ne7Lw6x3UTU9hUi8R7zyklFaX4mHi\ngXBWSdHd11TLTWi6dgfPzc2ZOqeUrRmz2G5ThdnkUkobK4nWNeW5QT+KXmfzifdO7MPHodwYSvma\neRh65mJq2oakJGPsbY9if1+Hids4PNuMRJZdiSg7F4UylndWFyg3SkckNsTJ5zPcPeaxb5++T+39\n+5Cd+Ii9i3rTI9MEqxdypisW8UjUjEWhVwgbLmPi/TDi4sVcvAg2tgIzkpO5UlTE5Xr1cDcy+odr\npxdMS0uoU+dv7798CSv2VXHkrBb73gVU9MhAqdNRRy6n1rKG1A8Ss3jxz687QRBoGB3NIg8Pev4l\ns6ug4DyvXo3B2Xk8Tk5jMTJyQxC0pKYuJyvrO9zd55OVtR0DA0d8fTdjbPw3z/KtW/ow0dhYsLH5\n1/8//P9MjfD/HyepMImbb/XVLMPfhtPTryebum56X8MGQKPTEP42HGtja9wt3NHoNDTc3oD1rXrj\npr2MRGKMsbEvxsZeJFeaMur6bpImJ2FiYPKj+TZu3Mju3bu5f/8+RoKWmOOOkN+ZLmtOERmpL9r1\nV95Mf0NVchWBZwPRAovfveO7zEy8jI3pYWXBixebePDqCJPdSjixxoLX6i8p+7I+RqcfInq0i571\nCsgzL2LDq57kPo7hM9EVXMxyCdPkY1CeQLKpmBsGbYkqb45aDKLaFTRpoePeVgvURWoy1mWQvC2Z\nxHaJlKaUkt0ym/0+MdRT9+HgirWktPChZPanGCjMmX9gPsVJxRTHFlNZWcmA/rOIatcOi5wq2q4P\nx8D0OQV59xg7TUOyjyXilDBqJ+0mva8MM4dyjE43Q3V8JJU9UjEMW8bly1mkpt7Cz3g+E86/Q7Vu\nGx6jPvnJa6hQRFFdnYqdXT8iI6FvX31ZBLHrE/oc68O0ZtOxTZrOjBkCk8dWM3OBMcZ/eWATBH0J\n4sNHBCwGZ5OXIaZxuT1inZh58/Tdon4KlQoOHoRvv4X8fBg4EOq2VLJirowOHQQ2rxfz4c4s7q2y\nITvBAHP5j00ogiCQk7OXF4WP+aa8GReaDEMsEpGRsY709LUEBp7B3Lzpj44rKbnLu3df4ew8Dju7\nAT+IzHn9Wp93sXkzdOv20+deQ43w/5/mRsoNBp4cSA/fHrRxb0Mb9zbUtq79T49LS1vJyZhlrH6l\nJXL4GWo7dgZArVXT/XB3evn1YmKTiT86LjIykr59+/LgwQM83D15saAx+S7pjFqVxa7dEjp2/Ntn\nCy4UkDQpiZCYEEpMBQa/fAnALj8/rEVq2u/qSm6SlpUtEliz7BjPClsi3vAMz5dxvF07D1EtZ3T/\nj72zDo/qTPv/Zyzu7iQBQtAEgrtDgeJOKVa0pS3FpcWlSAuU4u5uwb1BAwQPBIsrCXGdzMz9+2Pe\nbbfb9t12u+zu7918rmuu0sycM2fOc+ae59zPfX+/LSNpcLgOlZKbcEA3khJO4K9ajlqt4uuS6Zh5\nVWVP1RocMS1CWykLzcsSBnXdQfXzlfDc64kgKJQKMh0ySW2XSunnnrw4+oT5K7/jyvjxXIpNYN+u\nfajt1IiPoIxRUmLlhOX7X5JrWg3nW5m0CnDD392O0ysWMKfvSawHWHLuWheePHlFz/ffp82Ne5hu\nX84Bzdd4ulhTJ7wlEfeTCD1wAJsd2xmVn0fqtlXU+OCX5/NvWbfOqCe3bRvkeR9gzKkxLK2/gaPf\ndOH1awU7dsD/KCIDsDstjfNZWTwuKOD1QXCO8qR/LRcq+ivJzDTqy3fqZOxnc3MzOmqlpBhNv7/5\nBqpWNeb5W7b8KXefk2P8ERCBZ88E71mx+DcoZntgIAqFgoTiYg5nZOAhsfimT0MpxZzQBtPIcA5b\nE2vMzStSVPSK6tVDMTMr93c/MxgrhXbtMpZ2FhQYZSKmTv1dm/7XUhb4/0vJLcmlxpoarOu0jnYV\n2v3u7dLS9hATM4Pg4CvMvr6aB6kPONHvBIeeHWL6pekEOAZwpM8RTFQ/785NSUmhTp06rFmzjsLC\njiQvnE6t2V+TkfeAzn2q/axBpjihmIjaEVQ7Uo0X1RT0jIykn6sr8/z8SMtKIWhxK7TxldjQ9Tpb\ntqwmzMqfkmEJqMKPU7rhMhUMqwkM2c/Z+nep9EMToi98TDW7TPoOtGJtnD3xT5ZSnHISdd19OA42\nw7ZiIWaPVjN5Q3sSnibgV+LHUeujHHc5Ts/hPWnRpgWxBenEbz5KpT3hzLPUoFBqqOhcEY+6Htyy\nv80Hqzezz7ECyTm+WGmERuXSqZ55HX1WBpnmCt64O3A9pj19+5nTs6cpmzYZtdvT0qB1zQI+e/ID\nuvln+OSb0/QqKeHznCxuuZRg/t1KWrb/deOPvxCflsNHn2YQedeRMcvOIRYHyck6Q3V9CyaPX0GH\nDk9YvboTpn+lfB2akcEnL18yvVw5qhrCkbiRmJq4U6vWTVQqYxllTo4x+G/YYNymsND4A9CggVF/\n57dKKXU64/MGA3w5N5J1j+ZSXf8DBViTKvbYmTrgWnKL7QzilWV/MnQGXtStQ0HuNXJyruHpORa1\n2ubvXotJSUYrw0uXjA1dHTsa71DegZT//znKAv9/KaNOjEJn0LGx88bfvU1+/mMePmxJUNAFrKyC\nKNWX0mxrMxJzE3GxdGFe7XkEhgaitldjXsHc+KhoTnp6Os2bN6Nu3VZ4FHvT3mwrZs1e415zCt7B\nPyV/RYSC3Oc8bBvPy0ZaVveG11pTvvOzp7nKg6kLBrBDH0dFjSMLWsbyRdheUhuo0ZnFIZfWoSl6\njL/emfeOLWLVgPE43VhPRko9lBWuoutzGIPSHf88K6opnUh8k8DTTRsYsWUTV6/OxWqtGa90r2ih\nbcHbwLf8UO0H7MztKEzLYebjEuqlGvi+RDhpr8Tc34Uskyw8PcoR/7QbqtjPEXUetgOSWOW7mFpZ\nV9G72lBUxZU0w0MKi9zwSejDm+/fZ09OZQ69cSDI7Cl9az6jRnMPTO4VkK85z1cvDnNKY42JhZq+\ndeIYPnYrXQK7/MZYwOEjBpZtTODxbXvca9+m8ai9BNgl0MjiGokJ3zB1/BCWLi0lMDCY8uWX4OTU\nFYBUrZbgu3fZX7kS3tkrSUnZSJUqu0lJ2QgoCQzc+rP0ydu3xmBqb//7gqqIkJl5isTEbykoeIKt\nyzAO6JpRx1JDbfNCRJeBvX0rROPB1exs7NRq6tj8/UD/0/6NzWCLFxsD/tSpYGX1uzcvg7LA/1/J\nhegLDD02lMejH2NrZvu7ttHpsomIqIOv70xcXT/48e/JecncSbpDnZt1iJkSg1NXJxRqBUWviih4\nmk9BhQTGJIyiQf1CBrWwwCG1hCzzhqS79qRD5xFYW6vIzb1NUtI6Uo++JW1lf567JHBrhYbuhiLS\nT9/niscRHheWklGi4X0nd0bUsKbHgw0UVi/GNuoY+mvbqX6yGmsCP+GE6QxmNn2JKsEE9Y77FPlc\nQEKuEARUdb1HnEMxz21KaePdkbMLwsh8GgtKsHO05P0sd4otCtE5KhDRYFVUzPg3b7hmaMQ5RXOm\nqfdQVVfES7f2DC14ynPtSrTafCoH7aTaAhtGGL7HN6oCJg3eQ+fuz7Jl6zAYqrN04gYiQiIodyyI\nPh1WY2F4RrHjbKLf2PCBeSjN/GPJ6P6AgbtfkNEwiKAKF1j9/lq6Ve72q2Px5g3Ub1xEhkkE7g0v\ns378+zSrFExxcSx379bjwYMw5s6t9KN8cE7ONSIje1OnziNUakc6PH5MQ4tSuhRMw2AopkqVvZia\nuqPXF3DvXn08Pcfi4WFcT8jNvUVc3Dz0+iI0Gkc0GgdUKiuMwkJKVCpzLCyqYmUVjLm5H+npR4iP\nX4CIAR+fSTg79/ynmez8he++M1YVHTnyf0c07V9NWeD/LyCjMIPMokzUSjV6g542O9r8oRSPiI4n\nT7pjZlaOihW/IzzcqKXu7Q3FccVEDY1Cn11KwIfpWMdfBDMzCtz0zH+Vwa4NUTQ32DLGLJ0jxXVh\nxCLinQxcdUmkKNyOLX0LsIscQ8muj0lMKWB/h4vYOZbyMP8e0/fM4XadUsonmhLqGs/g0aHEuldi\n/sMPKAwsoeXeFVw1vUi5857cDupA1plUBiuiyVa5kc58Sr2uYG+/nKLXxeTl5VC9enVMrKx4mpdI\nWtZzSNWh6KWm372qrItI42U5PxJa22JjbopZfDqBJ26x38Kfcbp71LXIJyLLmTpejwkuOMGOzFFM\n9tzJx30TWV3/DgEWz2jhvBrL2r1ITEykS5cuVK9enY0bNxI/M463ic8Z8WgRb98qiYg4gLOzM5s3\nJzF+vDlD+12g/7FtZL1nRd+KF1jfeQPdK3f/1bF4+xYaNi3Co8o3TBx3khY1d2Nu7ktpaTFLlsxh\n585xmJg4s3s3VKliLKvM1espjJ+CrjSV8zZLuJZ8kS/0X+Hi0hd///k/U0otLHzB/fuNCQhYzZs3\n+8jNvUm5cjMxN/f7n47Xt+j1BYAAgl6fT0HBY/LzH1BSkoSVVS3KlZuBo2Ond2KfGB4O778PN2/+\nqKNXxj/AOw38CQkJfPjhh7x58waFQsGIESP49NNPOXDgALNmzSIqKoo7d+5Q6zeShb6+vtjY2KBS\nqdBoNNy+ffufevD/1xERtj7YyoTzE3Awd0Bn0KE36OldtTdL2y79XfsoLc3iyQ9DKZjSDdWQ91h4\n1pmHD42pht5Ni2h77i5eVmHUKlyKKiQI2rblUGw6Y4525m2GKypcGO0YT4OMAg4EbsOqfzcyTGzp\nobAj/1QOvhFa0l1yOVJ9O86mngy+3JWdwWfZ1rsIrU8rKHDAVK0nIFZP1+s/sLllCCl2epweLaRY\n94J6G/VMtglmZ+EQjhTUIr8gADtU2FY6Q4Up6xmWtBjlyhQeKJ4Q9vYkT63jycmPx87WliD/Poy5\nU5lOhmls1FRhsu4RCoWS2oZ89mFgnUkLjun24mCXQp8PIug0dSDbd2q4cgXmzSqlet4VjhSNI8Pc\nhkENQzE3dSQ8PJzu3bvTpk0bnjx5RDnPZMZcWU38F59jVyMTX98GlCs3Cb0+jxcvRqLJm8+33ZwI\nM69GaoE3djYavD3V2NuDg4Ox4ahNG6M4mVYLzVqU4FFhFaM+O0SQV1sSE78jJ38mo0b2xskhm3nz\nKtGhg4IsXSnfJiayJjkZE4WCfG0e6xXDiaQGbVS3qRK4/sfUz9+Snn6Y58+H4e09ES+vz3/M+f89\n9Pp8lErLdxLwwfijV6uWUeWz668fehm/k3ca+FNTU0lNTSU4OJj8/HxCQkI4evQoCoUCpVLJyJEj\nWbZs2W8Gfj8/PyIiInBw+HWhpLLA/9vkluQy+uRoHqY+ZG/PvVRz+ePuEYWFL3n8uBP6eV+y4WU7\njry0Y1jlt3y115SXk6/y9amqnMeFKs5pPM3xoHItFTExe3jzphNeXsd5+7YxrVtX5PhxYUiLy9RL\nU1GUn0GjKv5IvI6SoiTilW/4uPsUvjw6mZAYZ4bMvklCSGcGnL7EC+0x7FNLaR2n5HbdLtx0qUtm\nQQwmUWkE3K+HWaoNCtTcoBka9X7MLa5g0tmR1OPTUOj0OBeb09Vwnq7KeTxv2o8Q11Zsu7SVvW8K\nKZShWFEZU/TYOb1mzKc6Wtd1wubZU9xmjWJqnxnEmw3g9XVHBn+xkdVhy/Fq5MXuHrtxsnAiT6dj\nS8RgNNoYuta9gLupOdNWzWD5tBU0qFOByuUT6NlcR9a1ThQc/BDd4pb0728gM3M3CQlL0elyqea7\nA7PWo5gTkIJh7MfMbDqLV/EFZKZr0BZYkplpLE88e9bYeGRjoyO43lq6jN7G8Na3ydLpWPMygu/e\nd6Fdl22c7NKQStbOVLSwIDQjg+7Ozkz18cHf3JwSg4FXGT+Qnzib6oEbsLCo+L+OvYjh39bFqtMZ\nBdhWrDDq9rdsadT3nzfPWEm0ZMm/5bD+T/FOrRfd3Nxwc3MDwMrKisqVK5OcnEyr33I0/hXKAvsf\nJy0/jUabG9HKvxW3h9/GQvPbM7a0NKNN3V9P0goKYOfOMHx9e+GZtowN1xvzPMCJZ9FCyeT7PKyh\nQKEuxM0ngZO7/HkWZc3r13ns3bsHjSaXfv0iadt2KF26QLdu0VjaprL9URM8Bsfy8OwySjObUje1\nCtqhG1lSFE69lBKWd5lBcqVeGDw6YX91MjkJlRiZMIoRj4dxQQTDUzUGUaC2K8BKl8rT4kxyDc1R\nKpKpZjGcRuYO1M4dzqTdtWnvE0bf2HTyDLe4adqIoSZXybmspAALRIKopMmit9lCOhStpo+VJUVW\nXzJ5wWDKOycz6O1jXo7aQHGTOlwa7sysWeeY9fkMTO3tUZirCHkbwuLOezmbeoqu+uu0rBeBlYk5\nH82bwL0j3/P9Ci22ti9R3QvAbU0m1jcb4jW2CNfBxq+Km9tgXpaU5/Kr85TvP5Fr7kWUjhlOW79W\nfHh0IGdenaHUUIqfnR91PetSuVllurc0oWfeW4qfXSXXJ41hrR7zXVISs2Jjcd9YhRrVbdi6bDb5\neh138vJ4UlDALF9ffP+qActUqaSqSwtwafG7rqF/R9AvKYFNm4xCpJ6exkVbtRouXoSPPzamF39N\n77+Mfz2/23M3NjaW+/fvU6/eLxsyfguFQkHr1q1RqVSMHDmS4cOH/+I1s2bN+vHfzZs3p/l/uxkm\nMOH8BLoGdv276ZzvvjM6JPn5Qd++xtvn8+fhypUTjB07lJthe7BY5MxmjQ9DvFMx/XA06sgotrqu\nI69eW7bsVGJuno+7xzz0+jUUFOi4fe82vl5VEYE9e/IJCzOlx5lSXm2JYN2qSowfVJ2Q+3oM3Xdz\nOOUROc5vMa9dHRPNe+BWldAtG2g0dw/DN3/A8LsToWsUurZhUHARRVY46iJ7Mg5kYnh1n0n1r6EL\nbMj+C7tJrLmLDacqEGCxjl7WhXTwP46F2oxGtr35+mQBfZs3hScxDHUeho/lNuy1TphGXOeiwp6k\npCSyLm8gY8FTlikbE32gAcrVrgwadJM5i4cTePgwd/R6zun1qMXA7JhbLFZ8g433Wiw19nT+fAIP\nDq9h5coSis0+4+vL27i+OYbcHSeI+rAU59BRkH2UwhFDmBu7je3Jp9l105OYlGfMGF7AfOVSXj5d\nQ0eP3qzu8BxrUweevHnC7aTbvMh8gStPqKEJ42Hl1kxseox96Rl8k5jIipy6TL1gQthD4w+3tVpN\nS3t7Wtr//6UqaZRDNvYgVKlibAz7a1OVskasP8+VK1e4cuXKP2+H8jvIy8uTkJAQOXLkyM/+3rx5\nc4mIiPjN7ZKTk0VE5M2bNxIUFCRhYWE/e/53vv1/FZeiL4nPtz6SV5L3v75u3z4RT0+R6GiR27dF\nxo8X8fcXmT59p1y54io58RflZZdDUkWTIVOUX0sWtrLQfJZMGVcsN2+KGAzG/dy6NUJ27uworm4B\nUr3/WlHOfiLefdLFxUsnrUyPy+66rcX10CFJ8rST8x5NxZMkGcRzWRRiKlZTkXIT7cV95SwhdLO0\nPTBGDB9+KFdr1RLHDx+LhU+UKCa4SdWhNeSL5h/JjOZLpKpGI93oJ0v9vhGZO1de9e4tY816i40y\nU771XiAGBwf5xsJCGnu4SJVmgeIY7ChKT6X4VfGTm2bzRasxk1dmbaQo5a/Oz5UrIs7O8nbvXrFb\nsUK8/P2lWbMW4hYQIDWuXpVBz56JVq+XZ1FRUquhl5w5aytf7+wsLh9WF8uaPcTa2kJ27VLJnTuf\nyfPno+XGdnO5cE4hP3SfJpcHDZObN8rLzS2ucq+NWvKsTcVgZia6CuWl6WJHuRzmIM/itkhq6h55\n8KCVXLvmJE+e9JLY2PmSkXFCXr2aJDdv+kle3iMREbmanS3O167J1bh88fQUOXfuXV1J75aiIpEb\nN0SWLxepUUOkfn2RH374dx/Vfw9/Nnb+3aqe0tJSOnXqxHvvvcfnn3/+s+datGjxv+b4/5rZs2dj\nZWXF+PHjf/xbWY7/52j1WoLWBrGw1UK6Bv5y9ctQaiD3ei73nirpO8uGXnAGUAAAIABJREFU8+d/\n6uTMfR1H1Og7FGWm4Vi1Fla3LzP/RU8irMxoXiGafouCea+f3c/01JOTb3P7dhe+WvQhzxLv4Rl8\ngACssQ0u4GXMcq4cWEvzlV8z7cRRGhRdRB3uT5aJJcNylpFtmYNJ0F2et6uHzjmcENVVVpuu43xS\nBl+blaKdVANTUdDGLpuhFd+Qfns1Ifq1WKMmRtkQq/p6LsfdIz9HaNerO7XrtyTFzZQBO5dz7cp9\nqg6oSkXLijjnOGN30o52ye3Id8nnlcUDgr9rRIs2LY0f4vhx5KOPyNyxgw/d3aljY8NkV1fmrFvH\n4eohfHzPlkb7SzFoDTgvjCfabARr11py9KgZer0BM/N8Fi7Mol7dpuh0D/DKbYf16musqfgBtdY3\nYsv89UTKOdp6l6Ozcxq+3qPxdZrAmNMf0cHpIiGBi/Hw+OlOtqgohtzc6+TnPyQ//yEqlSWVKm1A\no3HiVVERje/fZ7ZUZePntjRtCsuWveur6p/D06dw65axy/bOHeP/BwYanbM6djR2CJc1Xv3reKeL\nuyLCoEGDcHR05Ntvv/3F8y1atGDp0qWEhIT84rnCwkL0ej3W1tYUFBTQtm1bZs6cSdu2bf9pB/9/\nBX2BnhejXrBGsYYXdV9w+uPTP1ZW6Iv0vA19S8bRDDJOZVJkb05evBanFrbU31KODMVGkvZEUrSw\nA5YDX+Pd5j0Mh59z81AKw7QjsHNVc++escJkwQLjl/f4cTAY9Bw8WJf9V97nyJ4VbPzhBwZXrU7G\n0QxSfZOxqt+N5zW8aBp5B22ADnmvM3E2l9EvGMOq5is4bbaTvKzqeN/NIy3PBzNKqaO+S13FNfaW\n9qee6h5PFNVwrh5AyP2ljGExg5Rabqi7UaC/j8HwGrVGTfWO1UmskYi1vTWpJ1OxeGHB6XOnqR1g\n1FR/mh7F4SHXMKQrODkf3J1roFFboDAYaLdnD13Xr6fPwoXEVnbjS+US6jsFk6WszLHV5jTd74y5\nlwf2Q3xI0W1D4zGf+Llj2f3qMRWqVMTfxZEArxgc/JNQeidRvfE3EPIVr5xmotNYcnPITXza+NDK\nvxU2pjZotWk8e/YhqXmxxGXH0SRgNJUDfvm9+Av38vL4MiaGYoOBEhFeZBdRN7Q64TusmTfPaDv4\nJ7zE/yXcvQvTp0NkpLEyqU4d46NmTfgNn5Uy/gW808B/7do1mjZtSo0aNX4MRAsWLKCkpISxY8eS\nkZGBra0tNWvW5PTp0yQnJzN8+HBOnjxJdHQ03bsba5l1Oh0DBgxg6t8IcJQFfiiKLuJJ1yfk1sul\nt09vNhzYQAXPCrgNdSPzdCZvDmeQbGPN6QJnwhWOVG9hyogP9ZS/HUvCqheoqiaiTC5Pld1B2NV3\nhJcvuVFjFF1L9vKdfEKrwd44LZ4Mzs6UlBjvEBYvhvTs7ygo2sfM7/OY1rcPEyZPJWpoFBmhGTzw\nfE1ujcv0CbvGq6U66rReR0zMFBIOj2DvnTAOto3H1XMW2Y/6U/LShpF2rdC91nM6ty6lr1pQaG/N\nhMwFjGUPyvw8NihNmGHwoATQmPXCsv0Gjszaj4+1D0uWLGH33t3o3fSYFply6eIlgsoHYRAD34av\n5uI+A7M2pXJsW3Msa1XC29QU++Rk6owbhzo/n6h166hQowaFSfMoKIgkMacqpdduovZ8jdIpC7Um\nj+Jia4qKnNm3pyauD50Z5DgItYWaEtULSlTPUea6oo72ozRdgdq8FL/vauI2yA2F6pdT2M33NnI8\ndBe6+18SWKEFLi4K3N2NMgjly/80683X66l59y6jPTwIsrLi0Q8aVk2xoHqgku+/Ny5+vktyc43q\nlg8fGmfntWpBt27GCcDfIyUF7t83LtTeumU0fR86FExM/v62ZfxrKGvg+v+IgsgCoqdGY+ppinmA\nOSorFTEzYjCdZspA9UBGhozk01qfkrIhhTcH04myc+SrMBc6DzZl+PCfjKxF9ERFDabodTFOd2fg\n0TAXddIriIzk0orH9JXdBLjmMH6aGd2eLYA9e4y98VOmcCHcim1DH9H3u5Ysv9CX4n0HuJJbwItK\nm8m192Nyy8s46g1sW7SEyMkVcR3UGQvr8iw5PhnnhR8zu+9szJWTeLttOc3s6pH9Mo3XJm8oqbYW\n/f1GsOgaBqs8FHZWWJy6gNnp4+S/TQOgxZDVRFqFcnX6csrZGQW8Trw4waAdg2hd1BqHug7si9lH\nv+r9eJKVgC6xG8dnrMA2UIM6JQZ8fY1WUDt3Gt1GJk0CtRq9vohbt8oR82AzNjOsCA/2QtmoPHPn\nKRDRU1ycwejRXxAXl0xoaChWVlbExs4lOXkd6kIFIePMUdk4Y5g+C1q1RGmq+tXx+y78OxYeO0Tp\npgtM+EKNQgFRyVpORxVieGyDRqGkeXPjj8A55zhsAoqZZV2J8eONxuTLlhk18N9VSiQhAQ4fhkOH\njOWjVapAcLDxurlxw+iV26SJ0cREpTI+9HqjocmbN5CaapzZa7XGGX2HDkZ/F/Nft24o499IWeD/\n/wTtGy336t3DfYQ7ams1hS8KKY4rRjdKR48XPWhmMRq36Ink50NeHkREGLXIV62Can9Vwi/791Gw\n8gvUSdmYpgkKCwuoUIHS8oEcfFGdz+4PpuuHNiSmajh58n+CTHw8WdOmobpwgS0thxFYJYyUNEc+\n//4yh5174Rg8iLiH95n2pR7H3BTOzFzJ8x51yT33FW79vThU8AX7MrVk2xST9EaL7tYLgqqM4NGt\n3aiUddApNmHtnEXBh1cRi1Tqrb9Dils6SS3qoW/WDMXRowxoJBxPO8SgoEEEuwVT3qE84YnhfHvr\nWw73OUx9r/oAJOWlMe32Vh4nVObciHlYNfbD7MIeo2LY1avGsqU+fX5c3BARXp3/loQXR0haOQ+H\nmdUZPtGBFy/A3FzP4cOHWbBgAa6urhw+fBgLCwsSEpaRmLACfU4aNRe5Yzl9vbHL6jcick5xDguv\nLWRv+CVk43W+nK7ho48gLDubXpGR9Hd1ZUdqGvNNKqN65MC+H4oIu21AlWCBmZmCiRONv1N/I4//\nT+PFCxg/3hjcO3eGHj2MH8f0b5QWcnONab5nz4yn02AwppqcnY0PFxej2Yq3d1m+/j+dPx07/9TS\n8J/k3/z2/zL0RXqJaBghO2bsEPel7vL+7vdlVfgqORV1XuzmeIprxzVSu7bIvHkiK1eKbN5srPb4\nS+WNiIjodCJTpojWy0ZeL60iuod3RPLy5NIlkeHDRZzsS6Wu+q4cWfJCHB1FYmON2+j1eum6cKEo\nnZykdcv35LmbleQEWEsz52oyVt1e1vmvlhrDm4jy2Drx/W6cRNkq5Yt2SL8dbST6brQs7PeFWAyt\nKep+zURZw15Uzl7iMWy3mJuvktq9TolJs96iNPMWdf9hYrd9t8SkphoPV6+TITOHCF7Oot46Xzi1\nU6rNGSQNejWQHpt6SIONDaT51uYSlx0npQaDLLn1SprdjhDLsDBpeOqapFk0koJanURKS3/zvObc\nzJG79e/I5d2+MmbFCrmdlSONG4usX6+XHTt2SKVKlaR+/foSGnpQCgqiJS1tj0RE1JNbV3zk1m61\nJC9sIpKf/5v7Ty9IlxmXZojj147Sf+9HUjOkRGbMMD63Ly1NnK9dk/OZmSIiEp6TIx7Xr8usmBhx\nvX5dbmRnS1GRSE7On7x4/hdyc0UmTRJxdBRZskSkuPjdvVcZ/1n82dhZFvjfMQaDQZ5+8FTCe4eL\n73Jf2fN4j+x+tFt67x4smi8CpMYHO+TSpb8J8nl5IufPizx4IJKRIZKdLdKxo5Q0qirhJ7zk2bMM\n0etFdu4U8fYWWTK3SGL8W4phy1Zp0ULkm29EZOxYybW0lPfc3cXJxUUO7NorPRv7iLWFSloqPKQG\napnh0lOc53iLw+FdMvrbQXLQTyNXHNXStV9LMelqIoxCaGomeFqKSm0iDVu3EuXeveLbsKE0PXFC\nKl6+IzYdU6XJhHXieuSIJBYWiojIsevHxK6anZi7m8v8ifPFb46fTL8dKsp9+8R9zx4x79dPRkyd\nKo8ePZKDx45J7VET5aT6jJxxOC/3656Vt+p6kl+hlUhJiUQXFsrx9HTRGQySmJgoQ4cOlQXzF8ij\nGY/kmss1eXlgh+wNC5SvXr+WgwdFAgIeS+PGjaVevVpy6dJaiY9fLteuOcvlywr54QdLebKrskTO\nNpHIs43F8LOT/nP2Pdknjl87yojQERKV9lo6dRIZONA4TrtSU8Xzxg15kPfzktvYoiKpcfu2zI2N\nfQdX0s9JShLx8xMZPFgkJeWdv10Z/2H82dhZlup5x8TOieVt6Fs2zdhEMcVs7rKZt2+NFRIffGDU\nI/+RBw9g/XrYu9d4z52baxQtz8mhdFhfntY8SfzqrryM9mK54gtStQ706ytMu98TvYMzOxut5fx5\nCB+ylpfLllBHq6WKkxOhvvY8D8pBZ6HEdLofhxRHaKnR8aqBLdM+38CkvEgqhG+h9XfxHN/kw+Gi\nJC4eNqC9psLEohVf6JqQ3OgO26tUwMLHh5pBQURq1WTr9VSKT6apMp9P27XDUq2m3fgxvAq9QP2A\nbnwR3ZccmyK8suyJDkjhgtNVWm/6kgupqZxJTyfw9WvKRUbSMCyA6mm+lMs4RYnSjUxVY/I72RPa\nCo5VK8Hb0oy0rCxyly5lbJW6BB6pRGFiIWfrn6XLtKecUHWkwcvyzJ7xEtjB0qVjqFp1KyqVJSUl\nyVhbh+Cf3RvDknlktDEnr5Ef1YL3odH80ly8VF/KxPMTCX0RyqHeh6jmFEz//kYTk4MH4WVpAc0f\nPOBSUBDVf0VLWETemdbNX8jPh6ZNjSmd6dPf6VuV8R/KO5VsKOPPkbwumdRtqeTuzyU0LJTHox+T\nmwvt28OApvFM0RyAIU/g9WvjQ6WCjz4ylmN4ef1okmrYvgU5tIVyoQ480bgzql8uO7YmMrz6FVok\nPsA8I4GFdXbx+kUpPXsdIXPGNBr4+dK4YUW+HgqRyafhfEtMwruzvv/nOKkU/KD1ZEJoHtkJRzhV\nHMamnUl80UPF7demFOx3xeSNO2Z2k9iVYcUi2xnc1Hhj2r49LkVFpD7OwXRjAA99tlLjm4946+TE\nwDlzOLNpI25+QWzXr6fQx4obk9WkV/bBJEWJdDvAh6a9iO31GqfG94neOp/BCxZg5l+fwB1efLy8\nhBTvXmg1auyTC2h64BnvzTSja6E18Q5P0OotcDCfivM1eNPHGu0UB4Kep2NhHob5FVP2n3uIo6Ml\nly4dIClpAJ7OH5OSsBqf6GB8dujg1VzC5s1jao0aROTl4Xz3GY1sbKhvY4NWhFdFRURmJfA6YjIh\n9u7cHX4XW1N7hgyB7Gxjblyr0tPzQSRLypf/1aAP/NOD/oMHxkDfqJEx767TGZc4QkJg2i8tkcso\n43dRNuN/R6QfTOflZy8JuBRAvbP1WNl+JY0d27G24Xa65u8goPgRih49jB0w5csbH15extU2rRYW\nLYLt2xGVioy25ryq6UmPGSeIiFCwYAGkRBdywH8K+tOn2LhjBytVKhqFvmHR9+M5NqE5X36/jW3L\nXFAf7gyn22M24SlTLn9JBUcHfNXmzBy6hKPh4fiu+5YIS0uCFQ5kb9/Ne+07oGk5Bn1wW4JEy3Of\nXDJ97NCoVHiYmFD3ciDP9thzJrQUT18NTyIjqdO+HfqKXlSv7sLszSNoeqUpNiE/GXOsWrWK8+fP\nc+TAEdJnXsR+cW8e1V9EerMmFHybR5TCmusd/UlOVJGZpGbQhwrat9eiUDzh5eVHEAmBDdpz7JYl\nN01P06rdIaq7/YCSIuJVQTS3b84HH/Rj165isrPbYm0WRG7yZezDvEgv7MStoCDW+/vj7+zMJ56e\ndHJ0JK64mOs5OdzKzcVCpcK+NJ3VZ/rj6Pkeph5DWaSpwa61Gl6/htOnwdxcGPDsGRYqFRsrVXrn\n149WC3PmGHXr7e2NC7FDh8LLl5CYCKGh/Mz1rIz/Lsqqev7DEBGyzmfx7INnBJ0LYnb6bNLy0xik\nWoP06YOvfQ7+K8ehfL/jL8su/sKcOXDxIrJ0KdH2e4mNO8uY/rOY1dqDJ5ct2ZLhz/CR37H1+kHi\nnz7FuWJFPilqTcOSAJTD9jJm703smg0ns1Eveh0BT9V95mRNxKJhVRL92qK7OJygLEgt14ltB95Q\n520RK5yGM1d5BNOGY/Er7khli+toQhRIh0Yczn7LQAsvWObN80QNoScU2NvDyZMn6TFwAKWDurCy\nQwOc+zng8qULzT9r/uNH0Wq1VKhQgYMHD1LXxQUaN8awcCmvYxuwdKspHWNeU7ysHF71aiOiIzGx\nG2fPDuD27apER9vj41OCpaWGtDQTvmg/h6Dec7l1rSNHjn7OiI8c6TOoiP37t1Ku3B5MTHJRqW3Q\nXLbjaVwVrk1Yhp+ZGb5mZtS1saHS33QclZQYq6cu3EphSegx/A1tKU71IzpOUHgW06mxhjlL9SSq\nCjmXmcml7Gxu1qyJuerXyz3/WTx9CgMHGm0SN20CV1ejfv2mTcYa+7174Q8YXpXxf5CywP8fQEli\nCYkrE8m/n0/+g3wUKgVV9lUhOyibWutC6PU8jJG7huHWtBIepzb+71O1yEgMTZtxodlizOqFU+pz\nltejxuGeF8gyhS13Dd4MUx+ghc6ae8oZWLVSEORnhaZeMYXOSWz8xpkzsXaUrvse57Qi0l01GFQK\nFAjKDFNsJ5THP/8V0fXGkeNWRPX7y3B3UHKu8Gvs9OVwafYByb43qVKhLq9ivEkPzMBmW3kmHs6h\nTmEGJuZgHWjFPsM+1r3YiMXn09k6tDm6vqk8dX7KpJOTfvwoIvD999s5fnwn55Yvh/feg0mTkDEf\nM2gQ+N+Mo3NwHjJlCC4ufXBxGUBBwSPy8u5TXBxDUVEOz5+b8eZNFh0dIN79OJ5Ow6ngsYC7H61j\n2IVOeDeOZMzY0Zg6t0Qc2hL+/VP6X7iC3a1bOFha/uL0arUwe0Ehly7Bo3umePjmk2R5kk71A+nb\nrBaVKkHFirA3M5WRL17gpNEQaGFBoIUF4729f6aY+c8mM9MoXbx9u7HLevjwsrLKMn6dssD/bybz\nTCZRg6NwGeCCfSt7rIKtMHE3QaFQ0P/gQO4fduLSyVPYD+uO2bIFP36Ti4qiefVqHKamXri49MbW\ntjHohbcBlYmMr0NaHwXmnULZNjkIT5O6RCR0IleloXHFcGxjsqnZJgWXThdRqrWUhjXl1SsXVEUd\nGBEzCNVn46iRGM2z2g4U2YfA9VvGRHGnrpCTDmkrQPcGC8tg6qR14078XYh+Tsmk0RjSr1HLphkv\nzdwoUJcyzd+TZhNiePjkIYsGLcJQbMDuvh1pV98wuNYaurzywbQQ7rvep+mFJljviSZy1WU2KYZx\nJrUGWm0pX7Y8xewno1EsXQoDBzJtGtw4r2NeXDj2246ATxxVquxHoVCg1xfy6FE78vMf4ezcDReX\nfrwJX0Kq2UU8rD8goPYOCvV6ZkYeoF7MBD7pd5s5jrO5uqgpRaWl7Jo4EdPw8F/19BOB5t1ecT0y\nDqeWu7ALiMTKWs/0JtN/1SbRIILyVyLvq1dw/Tq0bQvu7n/+Giopge+/h4ULoWdPmDXLOMsvo4zf\noizw/5sQnRAzM4a0bWlU3lUZu2Y/rxCJSL5P49UduLHBlcBR3TCfPfPH59LTD/LixRi8vb9AxEBq\n6j4KCxKwXV+E7yM995crKVKbINoS0hIC+fLLozRudJyRg6dTmumGiUsWFtpq7HncjPVphXgUC67O\nHtxKfAgPHqFq3QC9tSOKUy+QZyfB3RyCasL1x/DxGGjYGAwGrKIzsD9/lzRFGvTvh8P3mzlVeTpZ\nWwu5Jo4M/6Ecj74M4/Hzxzyd95TNfTdz4sEJerTogW78EByquFIp6yImKSbUsbJl+v5Ckm8nkly/\nJVVvbyZWrcSkcy/8jpxgbsAOxp9tx9GjsHK5sKviQxQOL9GN/YpatW6jVltjMGh58qQrGo0j/iaf\nkH7vW1I4Q4FDDlYmVVBbO6Muf5QJD44zVjuex/e3snp5e0y1+TxUBGOhyzVWRfXo8atj9uHEx+zZ\nDTeva6jtG/jHx1yMs/EJE4zduVevGu8OunY1drj+UTVlEWOn7aRJxi7bxYuNxVxllPH3KKvq+Rei\n1+tRqVToC/VE9ohEdELIvRBMXH4uYpKTc4MBW0Yx4LkbZsqnfBKfxsQoe+ztHcnODiMr6wKVKh1h\nw1e7eHLuHOmJiax0ssQvTcnygQPxVx5iX3YnEk634N6evlRtEcvFETUxtzvLiEpvObz/B9buPYs2\naSUWgVYkWVcm5sx+yMkBvR7JycAv3xonC3uedPOi2N7AMP1Mum33ZfW20ZxZ/z2ayvWgSjA5netj\noiil8NP5ZNkPo0ng56gMB/ks5ABPGlXkoddDEhYnsLn7ZsRgYOO8rbh17kuF9oMZkPqcK+HPCd5/\nig9zCpnFDFYRiVP0IeasWMoQKytUhw5hCDuJ7dmaBAUVo1QWsaXFSvIineCzL3A0b4tWm4xKVZGo\nuz1RJMZQfnY8hvSO5H7mRlFtHdhN4oDtMLziPiL7+kBGetxmz6FNODp25PRZmDfPllnOz1jc/tJv\nir/PWhfBrg3unLyY+Q8F/dxcGDPGKIVw6RJUr25MG129alSQCAiAyZPhk09+X4fuo0cwdixkZcG6\nddC69R8+pDLK+Icpm/H/Tp49e0aDBg0IrhjM5JzJeNXxotq2ahgUBvbvT2TzZj1VqvjToMFiohVL\nWPm0kOffFPLDnIoUeViREB1Lw8AgMORjad2Zx/NX8l5UDqZOFVGmabnsUZUZ49sw2XMWaU9DuLS4\nJ+dSBvG19TM+POqDsrEV82/fZln//qjLl6d+hxq8yAsnbdUL47Szfg08K7VnyOZsGt3zJMkrhgib\neFa328is5PXM2PQ+6dHpbBm5Bbebbqit1KwYsYKsqCyy7mVhPsSBwnPfknWnA3VGrUNqbiYzI5O+\nIX2Z33I26X36oD5+nGXATl9fCrKzaWhtzZrCQsQjkC4pO/l4gRsDB4JKpfqxrLG0NJPk5HUkJ39P\nZOR7OD2zxW5nPVwOXcerRn+y3p4lIWYxFBaj0OmxzQjknJ03Ps7PSFOV56jpFxSrvQhMcOHCBEuW\nLupG7ZCxlCv3k5n5mzfGQHzyJNSu/cuxW3PsLh8P8GXj3mSGdqrxh8e+pMSocVOjBqxc+euqlM+e\nGR2n7t0z/nfQoN9Wr9yzBz791JjP/+gjYxVvGWX8EcpSPf8C8vLyqFu3LhOGT8B3tS+PDY+ZkzkH\nBycH4uISMRicsLIq4eOPrQiuaWBkhCVTz8VS0SyE+sP3k7Y/jkzv79B3OormZU3ssh9Q7CUUllNg\nyDUjNr0Kp8oH00d7iNMnqrJ9c0/Qt6C6yVR2hc5ik6M1cc+i+GHSMIaP/YTc+n5siMxCN382dBwO\nGc3xK1/CmhVqzNQqLDpt5GnUXYa9l0Wz2xP5KqIe6EChT8RZcQufck8p7d+SzpfPkF6SQcPPGzK6\n2WhquYXw+LHiR43/oqIirt27h9OwYaS/esV0tZplgYE0iIvjdeX38Lh3nrmWX7NTM4QFCxUMGfLT\nOTMYSkhMXE58/GKcnN7Hw30MkUfGUfr5l9RYYMAu0AxevCDzzFyihqZjYR4I5YewMjYJq3NWPLjR\nAGfndnTpAqWlxka3NWuMOfBfY9cuYzHU7t3GGve/MHn5fZbM8Gbe8hSmfVT9Hxr/ceMgNtaYlvl7\ni603bsDXXxurcEaPNgZ2Ly/jdno9zJhhrMo5evQnL4UyyvijlAX+d4guT0fajjT2L9+PU6kT5bXl\ncR/iju9cX5KS3jBpUjb37pXjxAkVJSXDSEi4wZhVBRR7ZRCx3Z1oy52Y9XpKUY+52Ls04+lWNS2+\n3UnS2M85fb8KZtd13Jj4BkNwCiX7wzh/OpuSknP4mjqzslwcj3qeY/6qZRQ3eB/F1VMouoxD36sp\n5Glh/ljUbgHoGozC4bYLmkuBWGhKUVs+JLrxNqTKETqbLaBO67ekz3rCrEsPMNHEY9qrG6/8fSn8\n+mvM/fyoEBaGytUVCguNEenIEfDzI9XDg35Ll7IoJ4covZ4FjRoxcMQIPu0ykOk9n1Pt8W4sxgyh\nTi/fH1VDwVjOmpl5klevxmFhUZkKb/tifiSchIJ9xJxchJ/NI7y9HmJAR/T7KaQHZxNYYw9pZg1o\ndesxltOCaV7DlHnzjPXzx44ZVSc3bzbO6n8LEdi61Tjb7tHD+CMwfGoUxw6as3VvDgPb/vGZPhgb\ntz791ChT/Edy+FFR8O23RqXM0lKjaQkY7wIOHAAnp3/ocMooAygTaXtnGPQGedzlsRytdFTGe46X\nxF2JknMvT65dE5kwwWhz2KGDSEZGuty/31wePeokJdpcCZztLscrWEpMv1BJeLBHjh+vIs+fXxN5\n+1bE21u0x4/LgAGficI0SJxPnBGzOXNE4eYvVJ4gSqd86VH+jdxt+UBKc0vlSHKGqNbsl+rBPeTk\n8RMyZ9ccUc5tITRtIgq/lmK5fpf4Llsi55UX5HbPDfJxMx+x+kojrvPtJXHZbJGFC0WKi0XbrIk8\n799N9NoSyc/PFw8PDwk9eFBk4EApMbGUDBN3MZiYiPj4iLRrJ3EeHnIEJEOhkBilUq78jz/go0ci\nAQEio0YZJDExVNLS9ktGxknJyroiSUnrJTKyn1y/7i7h4ZUlI3KLyPvvi1SsKHHjZsj5PmNkpe11\ncXM1yPnzBomKGiYPHrQRrTZDjqeni8vFmxLYqFiGDBHR641j8DjtsYwMHSmNNzeW/JLfFlP7a96+\nFRk1SkRjWioa/xty6cmjf/gaiIsTcXERuXnzH96FiIikp4tcuyZy8KCIVvvn9lVGGSJlWj3vjNi5\nsbzY+YIh2UO4cfsGWVnl6NYNrK2NVRxdu0LFio+JjOyCi0tv/LyvdIxUAAAgAElEQVRns3NqF1bn\nXOaw8ynU47I4f34FkyZdxGDQcKDSl9Twz6FbnJqrV+/ivXYhMXOfIInVUCrr4hMAisoJFPVNZkfD\nqnhZmxEcdp9aO/yZu+cB4RVh3qgCCk+vwToiBuXy4dS958WU7z3J/+IkX+d/Q6m9GR4pKvZfdsKk\nfIDxgzx/DuXKweXLoFLxzbRpuJ04Qf+SEnJzDJzNb4Szk3DfPIQBQ3T88Ogeww4dQm9aFYVhJQ5a\nP6zMBXN/d+LjFXz9dQ61a/dBq32DuXl59Pp89IWZmBZZY6+oiR01UV6ORrliOTfqfcHXuvE09lpI\n/WP1qXWvBffjTNm581u6d99Ck1ZhfBaRSegpwfVcOWoFqtm6FSJSbzP5wmSeZzxnZMhIItMjcbJw\nYnXH1b9r7G4k3KDzuo+5NGY3NTz+sTKZ5GTjnUP37jBx4j+0izLKeGeUzfjfAalHU+WU1Smp6VNT\nHjx4IKGhIk5OIvv3//Sa9PSjcu2ak6Sm7hLJzJTS1i2l/Dgz2dxvhSQnb5GNG9uKi4tWpk4VGRt4\nRhzIEA05AvliXytbUOeKrfV+2bklV/YPTRYbxVWp4LBD7NsliOLAdeFomNAhUT7UPJKQ8VfEZO02\ncbD3l5o+taTRpwtkk+85CXO9LF8uqiMOXyllVk+lnAtUSU7FciJnzhgP8tgxERsbEVdXkZ07pbB/\nf8lSKCSnRw+5s/KGODomSUj77qJQqUShUItCoRGFQi2WXt+KiXWxLF6cIQ9vhcm9Op0kfOwmefTo\nily/7i7R0dPFYCg1qof262fUBW7aVEobNZWX7k1kr6qfdA2Kls8/Fzm0N0ou+22TxK0vJEOrlXMx\ne+TsFVcJavVcNK7FYmKjk2699LJ9u1GB+embp+KyxEW23N8iJboSERHJKsoSn2995OSLk39/7PJS\nxesbLwl9HvoPjX1mpsjkySL29iJTpvx091FGGf9J/NnY+V8/409MTGTLli1YWlri4+ODi9aFvMF5\nHAk5wpJTS9i5054FC+DIIQP1T8yA7Gzy1DG81V/HaehmrNwbQvv2rK5lxkavBGY2cmNZxFgiF/Vi\nSsgV9lc24FzuOU92ZpP4dBZKtRq993asCndxufUirh9VMKX4CGqL1ZSvUo6YZ/GYurUgw7IX/TLW\n8rxuS2JM48g6thmbBjbMzNmKfboNFetmcrf/Ryx8UkLo5iI8teZYtuuO7dqtRinJsDAYMsS4Ipmf\nDzNnckKh4Hq1atRs8zEDRkxDX3ABNGo05uao6tTBPGsYpfEdKfUoJWxTPNqC1pib+1FSGI+2OAUT\nnTWBL3pgH2VuTGJHRcG4cciIkRw8Z8PnnxuNtxctAnt7HXl5d3m0cimKAjuiP6jC0cwshhpWEWa/\nGo1pfRwS7Rjb1A6NxrhA8KbgDfU31uerZl8xOHjwz8bpSuwV+h/qz8NRD3G2dP7VsdQZdLTd0ZaG\n3g2Z13LeH74Wjh0zLsZ26wZffWVclC2jjP9EyhZ3/0Hi498wdeoijh7dSuXK/QgK0iDxuXQK60R6\nu3QG7R/O0qWhuLktoVatxvg9KMBqy21O9qvMQVsHLjk3oWXiVTZOX8X1WhVpF5iL4ugODMmNUNsX\n4dQxiiaPbnK+X0Xs1hqISWqHY5Mk3uZPgOhESLqIrVkyOcWDMLMyQWs1DUNWPdzNrpFmsxTflGfk\nuLpR6GhCsTygik9VLJvMJ9/GhEmx29E2PcDkG8Uc2Q8Nk1So6zWBqlWN7thPnhi98z7+GPr2BeD1\n69fUqVOHgIAPCL+9GoWDAz3GjGLB4MHoSvwYPUnHzTuCdlA0HeQtUzv3pFKlVTg7G5uh5OF9ZM1q\nlE6uxnZVb2+Km7bl0Ekz1q41KliuXQvBwU+JiZlBVmwEcr4phoYXCHdoiJllKXUshIqeQ3B27v6L\n8SgqLaLFtha0Kd+GuS3m/uqYTTw/kVeZrzjc+/CvqmBOuTCFeyn3OD3gNCrlH6uRvHIFevc2loTW\nqfOHNi2jjH85ZYH/d5CTY/Q7vXMH4uKeEh+/hoKC3Tg6DqBFi6m4u7tza0ceC+QxVZb6oXrfncmT\nL9C7d38qVBiP7s11DscXs8p9KJaKQtqbxdIxI4+JmcH0OHedJak2VGz4mJKKI6l2TsuRnd0RewOY\nCJo8BeaVtXiMe8zzVRNQFBQQaW/P1ZDxjPn2I/xcOpHcNIs+T2tQXD6eQzX24JbtTrDrSh55WJD1\naghTD09i66zymNrlM918LIk0odIJLbXXHsexCBStWqNo3ARsbY3F5vXr/8woNS0tjWrV6pGRkYpS\nrcByQF9i1q3FTm3K7NnGMslJk+Djj4WX+Y9IudeBzZuXMm5cPxo0+OX5fP0avvvO2LhUu7ZRU6Zz\nZygouMKTx31xfLyItyvtKF0+jNkmC/mkejd6ODn9pmRxfE48o0+Oxs7Mjp3ddv7m60p0JbTZ0YaX\nmS9pV74d7Su0x/T/tXffcVXV/wPHX3fAZYPscQFRNoiIe08sc6/MNM1MbWhpWoYts0QrF6a5NdNv\nrsw0V+7EvUUQBZG9ZV/WXef3xynLSrOfliXn+Xj0sHu99/A5H67vc+5nvN8KFftv7mf/zf3IkHFi\n9AkcLf7akplLl8T0Cxs3Qpcuf+mtEskjIQX+e9DrxbS206dDo0a7yM//jJyc6wwbNobXXhtLw4bi\nd/nSo6Vc7pfAajt/8vyc0OlOEhXVA2trRxIN3ixLHkx1PSve8c9ngN8YlNcyoFs3dg6eR+/mBVhd\new/r0BhCllpyMHYwbs5HMVlvQbq+BlMTGU65aeS8/TZhEWFMzj/GhYB+LN+0Dd9XnyOrQQrDb6j4\nyiwWB8OzpPgokPm0Rp1nS/u9u+l2tB2z16mxsczlbe3L1CQ8Q+s5u8kmEzOtgdAZ0ZiPjvrduRuN\nRoxGI7GxsTz1VB9qa5W4qV2o6NONPTNn4ldry7PPiul+N2wAB2eBdVkJ2N6M5IzFK9y8NJZ905xo\n2tZA69bQra0CuVHOF5/qqThawqCgcho3hnqucuTmckpvXKH0XCay1EBMfczRzHuXHSYevBCxmPC7\n5K7PKs8iOjaaTQmbGNt0LNM7TkelvEvG0l9JKU7hh5Qf2HNjDzqDjm4NuhHZIJJGLo2Qy+R/6TNy\n86a4OWvBAhg8+C+9VSJ5ZKTA/wfy8sRgtmIF2NvfwspqAikp55g5cyb9+/fH5FfZMTWXNFyOvEzw\nhmCsOtZj5crN+Pk9j4WFPYfsl7E405SZ27czYv585l0tosnZXOpPepJB2HBNaIPxjR/Qh00hYEsL\n0ra3hoCpeL45nMwCJcbGJeh+PIDJ/Dm4trMiu0UQQpIFwqHzMHMWsgY+gByZEayqDBjlAp1+rOXJ\n3eY4pBXjUp3O1DV+6B2yiLn1MeHrG1B17iqLG5tzziOX7q6jGfXpUmyVSrRaLTExSzhz5hhJSUlc\nS0pCr9MhGI0Igg2Bgb5UhzVk2KxZ9MxrwJAhMHKkQNQHAgfLiolKSWG8Pgp/u1DKnN8jrrKS0+nV\nXDuqovCyOQGnjIy+lYuvUIV9OysUTc5hlJdjrJZjrDKgtUxG3e0F3i38nGrZdnrVd6RR0/M0t3W4\n3deV2kpiM2I5lnGM45nHuZx3mTFNxzCl9ZS7jtv/XRISxFQJ//sffPSRmI5BIvmvkAL/ryQmirss\nT5+Gvn3B2/sbli+fwLBhw5gxYwYWv9lDr7ul43zz8/hEeyPrGsuPP37LhAmf0KRJPl2XOrMkLYOD\no8egGrSUqdsacDrJwFu05DVqQfUGVYPmIavni0K7Cf0Wb5gRh6lzEb45sVw3scKwbgWcSwd7ezA1\nBRmYODji+dwrPPu9F/qyy4Skh2ImgzxPDZeC6+GXlcig48exlKUxa2Qnyq0VxKxcgHVlDcXIOKhy\nY/yEHMLWmaB7eRVFPQLpf6yIBR/MRFP7MQqbALBSYigpBs2PELKJiBa9qO9dQVpkJN1vBLFogoqa\nqcnoWxWhkssJtLDgE9sT2JeupmnT08jlv9x1C4JA5pxMsuZloZ3rwQKfG/TTjsfOKohCVWvSanSk\n1Oo5U+NFdtxsQh2deN/jPB9ft+W7YefwsPEAIKEggX6b+uFm5UYH7w6082pHa3VrbM1sH9rv/26S\nksTCJYWFYnqHxERIT4fRo8XJXG/vv70JEslDJQX+n5SXi+PNY8fC6NG1TJs2kYMHD7J27Vpa/2ag\nOjUVEq4IuM6/jF1zM4oH9ePy5e5ERc3gzRbz+Pz8OKq73eLU4aewrjRSXW1LuQ6WKdL4WmZObdha\nDM13ItgmoJ8/A1m9YHr030iSLp4ylYzC2NNixYxOnfHq1BkbuSl2l1cx/aCOBYFTWL3nU9IUrYk3\nBNNQ9TEFsnymmrtRzyqcjBkv4FuWyayVawhLTiNdEUp8VROOK3Q4tq0iNnAX9avKgQ2s/98byBRq\n9PoATFRLUAy6RYCLCZfXHEJW8jkOjkso1gWimHMYwUeJyxE1qhh3liiu4DXSBf+5vshlMqqrU7hw\noRXh4YextAy93U+GSgPXX7xOdXI1IdtCMDqkERf3FDV2Q1hhGI6HmRkR1tbIyxOZtONZ3osIIUh5\nEWefGLanZvC/K/8jdlQsB28e5KVdLzGv+zyea/zcQ/l93w+DAWJixHTHQ4aAhwc4OYGXF3TuLFWw\nkvx3SYEfcbv+00+DgwNMm5bB4MGD8fDw4Msvv8Tmp1JFRqO4pX/WLHFy0oFa9Ao5Tw6Kx8LlBt98\n1Y9+PT9B6yPjhFtzSic2haFTqPDcgHVqW4xxSZgo3SjrOwBBWIoi8SWMeyYhb5mI6lQX9LoqzBVy\nSgN8kbv2R9izFROeRxfqTljE6xz+Rs/kKTN5drkHl0KuEXrQn+am49kc2Yi9YW8xaomMfEc99dPA\nUiigsF4tZiVupFqlcsP3BiigQWYIDXMbkCS34FT7RtgFyTlzJoPs/IaUTY3nyeYniUsoJ23cu8jt\nG0N/FYr8phgOzcCk6VE8zzdimWkWftN9yJyTiW+ML/a9bbl4sQMuLkNQqyfe7tPivcUkv56MTSsb\n/Jf6U6k7x5UrfWjQYBZubi8AUKWrYvqRDzictJpZ4a44WjoTGLgWMzMvBEFg0g+T2H59O4IgsPXp\nrTR1b/oHv72/R0oKt3MHrVkjVraUSB4XUuBHvKv76itYvPgi/fr1YPLkyUyZMuX26pCCAggPF7/q\nR0bCBz2LqY5OYmSQGzrfTIrifGnWYRdhygTMNAKxVpc4n20tZvyy2wyNX4VWSihriEX8s8gujUdf\nD4yvJjPMcJh1UW8hyOUYP5oB15Ow3fI93vU98B/RkKvFhzm8Cr5pN5bgHS1Av4sCuhLXdBUdhiag\n2v0GQqojio8PYONegteIfaxUe7EnwJviwGKSDcmoKn2R/zid0pPtcLaOob2xnKFVT/J1SC4nPZX4\nj8gn29mdBcJYygur+WCukqGdB9PMSUGI+k3yTPxYPV9Lv7jTbBiynjnz52B6WcGVTxbB6zEY5GXY\n2LTG1rYNFjVtKJzWAE2ChstjL3Mu8BwO8gI6WxzgrLYzZtadaGDngXnNEa5nbSDIWo+NmQtenq+h\nVk9C9qvJVaNgZOm5pQwOHvyPjeHr9WIGzehoMW/PxIlS9kvJ46fOB/4TJ8QNNydOGBk6tBXjxo1j\n9OjRCIJAXGUltYmW9O0jQ6OB7GywthA4GnKaeeMMpDYvpN/2XUR98SVpg0yJqhfFLo8tGExUCCvX\noExLQl/1JChNQK9AptTjG3yFHj7baVVxHHVCIlsL8zikMKFm4TJUBScoP56M5thJTAZY0ruggo8O\nGzlv7I1geAEjOkwwQykHlSBgFFTIux9E9f5hTKvK8RibyuoGBj6JtOCHnsnE7nNk23cCly7pURq+\nYJTdcuZmXCavoID+TfrzocWHmLiasb6JnnYei4i7cQzVmXY8peuJ7NN3MNc2p9rmGBzqjrCpL86f\n5BDr+iPX88/wpEs1ykILajYPZePAdLpWeuOVW4Gs/kGKyvx4ufQyPUN70cXdHfeqzyk0f4FbQgN0\nFXvxlR0ho8YCH4/n6Ro0EZXq37HT6fJlccze2lqsx+Lr+6hbJJH8Peps4K+thTlzxAyIX30FeXmr\nWbFiBcePH6dWEBiTlMTW3Fvoky3xWxHGK88rGT8eDsTcIO6rm7w7W8PoG3v4bPJark1SMLPdcr5L\n/RLj2VwcjnamMHM/2JWDR1vq5RQwovgCPQ3VFMvl3DAYyEBOodyEI3ITlPNW0+WKNZPW7cGhdimb\n2urpd02G+pYHcSzCgAWoKtDpzEl2SeLzCe9hsLSm9xktr+++xetPwsI9sL2FLTOCWlA/bg0345zx\n80ugrGwtuTnrWWCoYuTJkxAqjsGfOHGCgX0H8urza7E8lkRoqRFdUkPs2tfD9P1pVCnPYWUVikYT\nj6mpE1ptPjKZCUZjLQbBSI1gQY7ZWDyjuqK8pKSyXiU/tvmRfaHfMKOlFm+nLjT0mkB8fB8CAlYA\nMtLTZyCTKWnYcB62tm0e4ifhr9NoxL0Hu3aJiUUrK8WtC599Jg7xSLVqJY+zOhn4Dx0Sl9/5+4tf\n6+3sSgkMDGTnzp04h4bSPz4eRbYFGYvc6fx0LZvft2XiwSwKq2vp2D+Zd16dTlltPOPOGunVwoKo\n1h9wff9xKjYeQZbpgSArB3cFwSbONMxzQK49QopFDclKkGlktFU60TGoC5/G/4Dhg/dxN1wm8Oo3\nND8yiaBqH7yVaxHkPSkvDkOOHkPz5Sxrk8wpm5ss6TOFvk1+Sieg00GXLginT3PsrTU8uy+YohQv\ngn12kpb2Dv3792BAv350Xb4c05AQcfziV16fP5+Fk99g8SIZOt0TvPbabnJzV5KTs5iQkG+pqrqO\nnV1HFIpfVjMJgkBNTQoqlSdyuQp9uZ6q61VYN7O+PTSm11dw5UovKirO4+w8mNLSo5iYOODpOQUn\np8F33WD1Tzl2TCx00rEjvPMO2NiApaVY+Ur+15bxSyT/SX9r4M/MzGTEiBEUFBQgk8kYO3Ysr732\nGlu2bGH69Olcu3aNs2fPEhER8Yfv37t3LxMnTsRgMPDiiy8yderUB2q80SjmWV+1SixO3aeP+PzE\niROprKxk+IAP2PJNKiU9vLk+T0E/kxt8mhOOxZBC2tt8i1WCDbvcPuZF2yY8N6eIWQNS2awqp/a0\nN8QngawvCMdRdmzGOzmtaZVcH6+aY6SpuqNRvUOR2oTdTi4kCjcxpriS8XQzQk2PEK6N52uVDKdc\nZ5buWopNpQ0mLiaUVN3krZfGYeNQRaIG1j2xjIbmYykvB02JjkZvPkF+iSlDCmIos9NS2nwtPjlr\neXuyH8HBCgIDlmAyYyFXwjbi2HoKXg3eQyaTUV1dzScbNzJr1Soi7S8xeZIHnTolUl2dzMWLbQkP\nP4qlZfB99+sfuXnzXfLzv8LWti1q9evY2LR6oOM9DDU18MEH4je8pUvFJbsSSV30twb+vLw88vLy\nCA8PR6PR0LRpU7777jtkMhlyuZxx48Yxd+7cPwz8BoOBgIAADhw4gIeHB82bN2fDhg0E/aqa9F9p\nfGWleJeXkyPWCnFxEZ+fMiWPL77YyBuLe9Bsci64WlCVJGBtUc23g9R8/407g59bzK6TaygqSadd\ncQgNy0OoNC/iQvUNUkjHx9yP1lbNyKwoIPsJbyYdC8O/vBQH3QJmuTnhr29HeFF3PhfmUqmspl2n\nmVhXGPFMuYXcYMSqygpTnSmWCkscezmisFGQtC+eVtUvE/3s2yzdG4FleTNqNDZ4eYmZFV7JfhPX\n3CP0smqPrNcOmvul8JLajPp+Fnh4jkGl8iT16lvIy7VcyvHFyjaLsjITNm/2IS7+JjX+vnz8aiva\nNNxGaOhGrKzCuXChLe7uL+Hh8fJf/Bjcqbo6lQsXmtO06QXMzLwe6FgPy/nzMGIEBASIQd/Z+VG3\nSCJ5dP7WYuuurq64uroCYGVlRVBQEDk5OXTt2vVPD3zmzBl8fX2pX78+AM888wzbt2+/I/D/GUEQ\nd+FeugTTpokrcw4fBq22gu++O0hMTClHj7UlcFoz/N7PY4mikLLrO2hrpsZTHsA3P4Th7L2Er5ZP\np5ldM0YWD0SvOESO60Yya2WkaD8hSGFCB+1GSrQq+noNpukZBxzK92Gqu8qBVkuxTw4j1CqNcLu9\nvHNjGqXmpiQU1XLOdQ1JchktMpqiRI1zfWf83vajPOMqNy7sxdD5IN0vbydlj4K+L5zhs+Fd8PQU\nhyKSly3D+pV5TJveA3/bL5nVRI2z3IcGsb44vnMO+ThT9K6VZNppKbMXqNUbaeQzDqNxCyGhV8g1\nOuGmysXG7ARqdTQ2Nq2Jjx+AjU1z3N1fuu/+vZsbNyaiVr/xyIK+wSBe4EtLxWLk+/eLk7Xz58PQ\nodL4vUTyoO4Z+H8tLS2Nixcv0rJly/t6fXZ2Np6enrcfq9VqTp8+/bvXTZ8+/fb/d+rUiU6dOgHi\nUrzVq8XleeHh4sasl16Cbdu+ZfTo0QQEDCGubCZNdiYx5mPQR6Rz5oeJ9PN+mmX1j1NzognGslM0\nKt5Br+BheJUG85TVahKDShjePYrqua9i3iqZpLTRXKhnT0hQB1qsO4dWe4X1su7Mt5hDxPVynrf7\nkrZps/k48kO2vqdCnZDJrbKPmNJwNFsV01mZt4nvv7FDN8KLZIsb1DSqZnfqq3y1bg/BA7fQvfsh\nNg7ZhPynYHXy++/xfuUVvn+jF/X8Y1niDt5eQ/H0fAN5WxUMSUX7aRRxnt9yMtOVc7vCiIqyQaEo\nIF3+KjvyExlodgpLuUCjRjtRqdxISXkLg6EMP78tDzz+XlS0m6qqq4SEbH6g4/xMqxU3Sv22WTqd\nOClr+5uNu9euicE9L0/cl1Gvnrg65+JFcHd/KE2SSP5zjhw5wpEjRx7a8e4r8Gs0GgYNGkRMTAxW\nd0m49Vv3G4B+Hfh/duOGmFzt7FlxO/3Ph1q0aBGzZs1i2bZDvBhrjqplIm+tt6Ck8ixT499hhvmH\nnF3jiGH5JBo4m7ChtDVT+9+isLiMMdcsSG9syrDeb1L7/jD6Wm0nJfY1bvZui+q51/DeCqdMPNni\nU0lwJzgQeo6j+/qz17or0W+tpUalpGHsNtQphZg307MtK4pm7jK69Azlevd4FJQTf0bN6pVbMDV6\nMG1RFJ7O63iq/Q3kMjkpKSksWbSILl8sxnRyI+p13Ul/x240C1mJmZknWqMRbW0t6VWHKXj6AGfP\n1ufEySA2b96CqakpC7OymJ2Rwbbwl2hhbU1GxiwuXmyNq+vz3Lq1jYiIU8jlpvfV57+l0xVTUXGW\n8vIz5OauwN9/2R1pG36rtBTGj4devcTEZn+0Tl6jEfPyz5snTroGBor/1daKWaOTkkCpFCuZTZok\nZpFeswamToWPPxYv9NKdvUQi+vVNMcCHH374QMf708Cv0+kYOHAgw4cPp1+/fvd9YA8PDzIzM28/\nzszMRH2flS3mzYNx4+CnUSKMRiPTpk1j27ZtTNlykOGlRTS3siZmtpIj59byqW4F0e6fcnzQfjYt\n7Y3xkAUvODenx+B6lNnbsyH6Mxb2n07Q9XzU4zvSVj6Lq2ULUY4ahbJHL4yHY9jduz+qLjraJORy\nIGkf18/kUdVmOcUhxVjGH6RNVizDAnTIn4mjrMxAeroCg8GXTz5Mxi/QlnOGqaRufZPpz+fQN2UU\nO1ccJ7hbYy7c6sDOVc4EnL3MG8ECOcvMuO6SRJX1qwxqupBbOh0fXrrEF1MnMiIolg7tZOz4PgRn\nx25s3DiT89XVLElJ4XxFBSciIqhvZgaAt/c0cR4g9R0aN96HiYnDHX1YUXEBjeYSrq4jkcl+iczV\n1Te5du15KiuvYDRqEQQdcrkZ1tbNsLZujr//Uhwcetz1d6PViiUJnZ3F1MwffCAOw3XqJH470+vF\nvRXvviumOE5KApVKvJNPTBRTFr3xBgQFiReBFSvESVpzc/F1R46IZQUkEsnf556Tu4IgMHLkSBwc\nHJg/f/7v/r5z587MmTOHpk1/vxVfr9cTEBDAwYMHcXd3p0WLFvc1uVtYKE7gJSaKE7iCILC641co\nT9uT2Kg+24aWEXTBBNddy9hVvg2dswHPNr24pHBGf6MLpLbCrWVbCurdxNC4N/I8T0zreaG090NT\nY4ssrxplvh5ZhAU6mQmmH3ljqXdgymvXWKeOJcs1GFuNCS6ym7xqFYWLqoiVXykYM8gMndaXecvK\nsbbuRNeuyzh5spizZ3MpLPSgdetldNAuYlh5Pt9qTakt1dPWYE6LyipK2wikPS9D6wh6hZyUWiee\niFjO3FI/9h/+iu4pC+nR1YCV81MsU05mX7lAb0dHDpSUYC6X84yzMxPVamyVv79OC4Lwu29XFRUX\niIvrgZmZJzKZEn//5VhZhVFQsInk5PF4e7+Di8tI5HITZDITZDLT+/qGJgjw/PNifYOtW8X5isOH\nxVWmP9/BK5ViLpyZM+E+RwXR6cSCYW3a3FFGQCKR3MXfuqrn2LFjdOjQgbCwsNuBITo6mtraWiZM\nmMCtW7ewtbWlSZMm7Nmzh5ycHMaMGcOuXbsA2LNnz+3lnKNHjyYq6s688X/U+OnTxYm95cvFoHZ0\n5AlS1uvY1sudBuZ5hBxOZkrhJHyVTqS9aELJ8U8hpQMy76uY5GzCrmwTL5kWM2fV+yi1oah/qE9K\nkS26ojxsXDQENTcnp6wUF40lfdarsHO+RmLuDbYZp9HOPIF2Uz+mnvl1bMNTOJXdDWVOKK0ilvHZ\nJ2M5ctQWN7dRVFd70imyGJXLdCJaBNDYbR5myZnINQKJvvZYW4JcKcNRUYvcWIGFRSDe3tPYllHK\nwlOf8HHn0RQXbca9NoXaSh3W1oNp23Ym5uZiQpmrlZXsKiriCXt7Glla/qVxe43mMpcvd8fffymO\njn3Jy1vNzZvTsLQMpbY2k+DgjVhb//9y5kyfDrt3i3flvwWLbgQAABLvSURBVEl0KpFI/kGP1Qau\nqipxeOfoUQgIELg2OYmTS3KY9aY1Nd2q2LltG50XLMCuoSsZY7tjOG4NB96HKiVK+Rn6Go/QwewW\nb386gOoyVyxnBDBAOM5hiybUaO1YbTxKvpBKTmAN3+auJ6syDpVWhqWFPRqVHo/684nsuJc2HXfw\nyadryMkKIdz/FOF+Wfh3ncvy7xYzZehA1I2uEbk+gjBHN0a75+N1sIbTF52YOSiUzi6eaLVlxBUm\nUhk4nfeD2vGKh5oPj33GkrOLCW+zlDSZPU8eOcLFXav55pvDODs/nFnLysp4Ll+OxNd3Ic7Ov1QV\n0WrzKSz8BheXESiV1v+vY2/YIG6WOnnyl6W0Eonk0XisAv+SJbB3r1j0eu/kq2RvKeDN6TBBl8yY\neXOY4GrDdzdK4cVn4dY2WH4aa7PnGCQroFW1F4esOrN7phey8gpmf1SCX7U9L1rvp7bybSJJJL/v\nQJr4erNiZSId2njQvpUlYX5F6C3LuHbGAe/G+aRcbkPipUG0fHI1l+MSiN1vxzc796CTbyU+bTEH\nCuTkVVXRxs2bYKtKHL+v5XJqB+JHjWZmp07U+ykb6Bcnv+Ct/VOpPWaH4KpACNbRrtMaeroHEnDl\nCi+PGcOJEyduL3d9EIJgIDt7EenpH+Hr+zkuLkMf+Ji/lpAgjuEfPChWdpRIJI/WYxP49Xpxwm/N\nGtBfTyP3nTTGN4QfXZfz3uBAduR7Y3x7AgwIQO5YBhvWIJQd4KjJdErcIaZvd451msBTe014Y3k6\nWepTRFXvpoF2AanVnZiztREXjzsz97NMnrdpz9BbvZnfxhH3lmdp1fNrqgyOXCg08JR1EgnxtlRW\nPku7dh348WgMK5YfZe7SYdgFqDkUPx97GxfqyVSEb8om6wdLXqqspr6PDzdu3MDDw4OGDRty+vRp\nInpGcCUkHkO1EeX/5KxdvBZPT086d+7Mtm3baNu27QP3YUXFRZKSxqJQWOLvvwwLi4AHPuadxxeL\nj0dFiRvoJBLJo/fYBP4FC0rRaD6lkYc/TPTif4NXQnAOBxqMQFNugy76XWRBtTzdSkZVbCt2743i\nmKopSWHuTHvpDax19kz+zJa+SbNJ9TTn+8FxdHyylPy8+tToVHy5pgvnL66j8xuRTKyqRtfjDGUK\nJQkXB5B5pRnhLT/HyrSaBVunkpTbEH2pHqwroWEmlv5fUZ17ApP6AgGVDuj2O7Eo8SZmPvUp/vQz\nunTrhoWFBXq9nqSkJK5fv06bNm1wcXGhvLYcuUzOuRPnGDFiBBqNhoULFzJ8+PD/d78ZDBoKC7eR\nn/8VGs1lGjSYjavrqIeeQ0cQxAImdnbinItEIvl3eCwCf3KywKrVT7F7VxVPprdA0+Miy1vlYSjI\nh1sdUR4+jYmuguq5q5FNv4Is4WXeGvcsKc1ass+hKyO/NtBnqxKF0YCh2Wl4bTECAv/7dgzppbZ0\n6fwu4U1qMFHJMc0OJUmpo8AqC0eTWtxVesDI+nQZscWOqExkyNFhrlBialRRW+JCxtlueKsK0CSv\nJ8zbkeiiQnxM3TDdE4vK8v7r9hUXF3Py5El69uz5l/vKYKikuHgPhYVbKS7eg61te1xcRuDo2Bu5\n3OwvH+9eKirE8pVbt8KZM3D8uLgWXyKR/Dv85wO/0Sgw9tUo1qwoRWUYj6ViK4Xyj0BljlynJ6CJ\nBU93KcPevCXLNnxKdrUX4R1/oGJgBYNMN9Mo/wbWZdYYTAxo62djamIgPa0+n3w6luvXxuDiPpw3\nNd3otMSULMVaTO0ucb0alNYdSdXAwawk4m5lcerF04TYWXPpUgf8/ZcDBgyGakBAq/ViyZJQli93\n4MKgWXie2Ujal10oqP6Oxo0PYG5+Z+L3wkJwdPxrG5DS06MpLz+Bt/d72Nj8sg6yvPw0WVnzKSra\njY1NS5ycBuLoOABT07snqxEEca7k9GlxaWxQkPjnvZZK6nRi3ZnFi8Ux/SZNoG1bmDAB7nP7hUQi\n+Yf85wP/5A++JOajKpTGwQx2OM86a3tUlW507T2HQLcc0g8O4GRGC2oqLRjf4n0699qAMaSKao0L\nqtpaFBbVGOUGUGkpLPKgUqOitMSROXM+46MhtvhuyyXz/fcx9zjHtpum2Jj1Zd5zX2Ju8ksULKoq\nwr5KIHNxe5xOKDE3ayAObLdoIUZMgwF0Oq4s+pF6S2aiPHMS1wh3cnKWkZ7+MY0b78fCIhAQdxt3\n6ACvvy6Webyf4F9cvJfr11/E0/NNMjPnYmkZipPTQPLy1lBbm41aPREXl+G/26T1Ry5fhilTICMD\nBgwQd0EnJkJWlrje/uWX72xTZaW4S3ruXPDzE9/bpYu4mUoikfw7/ecDv5niINYyByZ0/o7EHiX4\nh17EeMaR9V++i6O2goDGp2gaup+2VSfxXSijeMw0qtq24vj463gKbli+ugpN68Ps2NSUlWVZyJqn\nMsrFnL6eepKONse7/Rniyo0k7O7CaJfXeWpuD3H84vBhsSZjQQFkZGC8dI6yZqbYvbAQmcpcfM3Z\ns2LxVqVSTDhjY8PSVmtYd7ERhw+Lu1Dz8tZy82YUjRvvo7Q0lJYtxdTRMTFiSoMPP9Qgk8nvyIn/\nazU1mVy40Jzg4M3Y2XXAaKwlMXENGRk7sbIaQXDwABwc7r3BWhDg1Cnxbn3/fnjvPXHn86+LiV+/\nDsOHi8XGV68W0yx8/rm4kqpDB3j7bfFaJ5FI/v3+84Hfr8Eips/9ACtzDRiNJO+TMWqFFstKOGth\nQ5K1JZXmGtJdtCSq2tEzcQB2VXZcCblC/279Kdh+hhK1guWyLRzzzaDLD+15sUMjUoWTNOh/DCuP\n5+ka9D6yhEJU+79GtnatuISoTx9wcwNnZwzONpw1fZngZtv+NO+80SiWevTwgC++EJ8rKNhIUtIE\nvv56Np6eLxAVJaOwEMaNO8zYsSOpV8+cRo223/5WUF4uXk/S0nTY2HREpeqDs/PbxMWJtQZOn4bO\nncW79MREcbOUWi2mSXBxEYeR7OzEBGbV1bB2rfjn2LEwZoz4d39EpxMvSsuWiV3w9NMwebJ4py+R\nSP47/vOBf6z/WzyfeYUkYygVBjc6Ga+zsmsxO2rN6CPfT9+UElpnGdEQRLZzS64ODGRf8BW+Tv8a\nxSYFoX5eZJamkN/Vkt6JX/KWLBX9Sx8RHLQBp/pPiD+ovByaNoV27cSirG3a3DHekZz8GkZjDQEB\n97d0paxMHAUKCREPGxICe/bEExk5An9/N/z8FpGTs5jc3A0sWLCKevWy6dMnilWr1hAb25OaGmjV\nKpn+/WdiZnaLlSt3UFQkR62G0aPFIZqfd8YKgriTOSdH/HKSnw+3bonpiktKxAvRkCHiheJ+q08l\nJooXjZ8ybkskkv+Y/3zgr62tJTJwHFG5WkIMp9li/zK+JUEcCTmPusaF4Aw3sluewMzqByKy0vFN\nqkCja8CXwXa82+c04UXOXLI0YPv9QnZ6h+HzhgeyZldISBiEv/8yHB36InvmGTHH75Ild/x8rTaf\n5OTX0GguEhFx8r7G0H+Wnw/79okTofHx4sTp2rU6Cgpmkp4ejYNDbwICllFT40hyMigUJykvH4Sl\nZUf0+ovo9WU4OvbBxycaExP7h921EonkMfafD/yCIJCVlUWH8L6Mlk0n6JYJce52lBktyTCo8Jy1\nAXP3q+Rr8rmSlM2wVS9ibhJLr8p4rG/V8FH7apYLr/DjtOmEd/llRrKi4hzx8QNx2pyH2x4F6V/3\nwLxeEObmAVhY+FNZmcDNm2/j5jYab+/3USgeXnYwvb4chcL6d+vqa2uzyc//Gju7TlhbN0UmkwrE\nSiSSv+6xCPwAhw8f5ukhQ/jqi7VE1EaQsyqXTekOfFmhZsMmGZ06wZbnc1i23YzYcjtkMoFWnGCa\n8SOaeBXjfHgzNGhw5w84dw6hx5No9i+nyq2a6upkqqquU1WVhEJhiZ/fQqyswv/5E5dIJJIH8NgE\nfrgzxbBgFEh7P42dq6r5SBeEk5WB8mwdk2eYMHq8Euufco0JRgHZ5wvFPMDLlokzrzduiIV5Fy4U\n6/UNGvQoTk8ikUj+Fo9V4P8jeevyODYxiyyDGSN3eVKvre0fv/DMGXGWU6EQyz/17SsuW7mP+sAS\niUTyX/LYB36A8lPlaPO1OPZ1vPcLS0shORkiIv64HqBEIpE8BupE4JdIJBLJLx40dkrLSiQSiaSO\nkQK/RCKR1DFS4JdIJJI6Rgr8EolEUsdIgV8ikUjqGCnwSyQSSR0jBX6JRCKpY6TAL5FIJHWMFPgl\nEomkjpECv0QikdQxUuCXSCSSOkYK/P8SR44cedRN+NeQ+uIXUl/8QuqLh+eegT8zM5POnTsTEhJC\naGgoCxcuBKC4uJjIyEj8/f3p3r07paWlf/j++vXrExYWRpMmTWjRosXDb/1jRPpQ/0Lqi19IffEL\nqS8ennsGfhMTE+bPn09CQgKnTp1i8eLFJCYmMnv2bCIjI0lKSqJr167Mnj37D98vk8k4cuQIFy9e\n5MyZM3/LCUgkEonkr7ln4Hd1dSU8XCxNaGVlRVBQENnZ2ezYsYORI0cCMHLkSL777ru7HkNKuyyR\nSCT/Lvedjz8tLY2OHTsSHx+Pl5cXJSUlgBjY7e3tbz/+tQYNGmBra4tCoWDcuHGMGTPmzh/+m2Lk\nEolEIrk/D3JTrbyfF2k0GgYOHEhMTAzWPxe7/YlMJrtrAD9+/Dhubm4UFhYSGRlJYGAg7du3fygN\nl0gkEsn/z5+u6tHpdAwcOJDnnnuOfv36AeDi4kJeXh4Aubm5ODs7/+F73dzcAHBycqJ///7SOL9E\nIpH8C9wz8AuCwOjRowkODmbixIm3n+/Tpw9r164FYO3atbcvCL9WVVVFRUUFAJWVlezbt49GjRo9\nzLZLJBKJ5P/hnmP8x44do0OHDoSFhd0ezpk1axYtWrTg6aefJiMjg/r167N582bs7OzIyclhzJgx\n7Nq1i5s3bzJgwAAA9Ho9w4YNIyoq6p85K4lEIpHcnfCI7NmzRwgICBB8fX2F2bNnP6pmPBIZGRlC\np06dhODgYCEkJESIiYkRBEEQioqKhG7dugl+fn5CZGSkUFJS8ohb+s/R6/VCeHi40KtXL0EQ6m5f\nlJSUCAMHDhQCAwOFoKAg4dSpU3W2L6Kjo4Xg4GAhNDRUGDp0qFBTU1Nn+mLUqFGCs7OzEBoaevu5\ne517dHS04OvrKwQEBAg//PDDnx7/kezcNRgMjB8/nr1793L16lU2bNhAYmLio2jKI/Gg+yMeRzEx\nMQQHB9/+ZllX++L111/nqaeeIjExkbi4OAIDA+tkX6SlpbFixQouXLjAlStXMBgMbNy4sc70xahR\no9i7d+8dz93t3K9evcqmTZu4evUqe/fu5ZVXXsFoNN77B/wtl6s/ceLECeGJJ564/XjWrFnCrFmz\nHkVT/hX69u0r7N+/XwgICBDy8vIEQRCE3NxcISAg4BG37J+RmZkpdO3aVTh06NDtO/662BelpaWC\nj4/P756vi31RVFQk+Pv7C8XFxYJOpxN69eol7Nu3r071RWpq6h13/Hc79+jo6DtGTZ544gnh5MmT\n9zz2I7njz87OxtPT8/ZjtVpNdnb2o2jKI5eWlsbFixdp2bIl+fn5uLi4AOLKqfz8/Efcun/GpEmT\n+Oyzz5DLf/k41sW+SE1NxcnJiVGjRhEREcGYMWOorKysk31hb2/P5MmT8fLywt3dHTs7OyIjI+tk\nX/zsbueek5ODWq2+/br7iaePJPBLG7dE/9/9EY+TnTt34uzsTJMmTe66r6Ou9IVer+fChQu88sor\nXLhwAUtLy98NZdSVvkhJSWHBggWkpaWRk5ODRqNh/fr1d7ymrvTFH/mzc/+zfnkkgd/Dw4PMzMzb\njzMzM++4YtUFD7I/4nFy4sQJduzYgY+PD0OHDuXQoUM899xzdbIv1Go1arWa5s2bAzBo0CAuXLiA\nq6trneuLc+fO0aZNGxwcHFAqlQwYMICTJ0/Wyb742d3+Tfw2nmZlZeHh4XHPYz2SwN+sWTOSk5NJ\nS0tDq9WyadMm+vTp8yia8kgID7A/4nETHR1NZmYmqampbNy4kS5durBu3bo62Reurq54enqSlJQE\nwIEDBwgJCaF37951ri8CAwM5deoU1dXVCILAgQMHCA4OrpN98bO7/Zvo06cPGzduRKvVkpqaSnJy\n8p9nQ37YExL3a/fu3YK/v7/QsGFDITo6+lE145GIjY0VZDKZ0LhxYyE8PFwIDw8X9uzZIxQVFQld\nu3Z97Jeq3c2RI0eE3r17C4Ig1Nm+uHTpktCsWTMhLCxM6N+/v1BaWlpn++KTTz65vZxzxIgRglar\nrTN98cwzzwhubm6CiYmJoFarhdWrV9/z3GfOnCk0bNhQCAgIEPbu3funx7/vJG0SiUQieTxIFbgk\nEomkjpECv0QikdQxUuCXSCSSOkYK/BKJRFLHSIFfIpFI6hgp8EskEkkd839qXLDNjT6DdgAAAABJ\nRU5ErkJggg==\n"
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Performance Comparision\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def perf_plot(rawdata, xlabels):\n",
" data = [numpy_time / x for x in rawdata]\n",
" idx = np.arange(len(data))\n",
" fig = pyplot.figure()\n",
" width = 0.5\n",
" ax = fig.add_subplot(111)\n",
" ax.bar(idx, data, width)\n",
" ax.set_ylabel('normalized speedup')\n",
" ax.set_xticks(idx + width / 2)\n",
" ax.set_xticklabels(xlabels)\n",
" ax.set_ylim(0.9)\n",
"\n",
"perf_plot([numpy_time, cpuvec_time, parallel_time, gpuvec_time], \n",
" ['numpy', 'cpu-vect', 'parallel-vect', 'gpu-vect'])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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58iSCg4NhNpvx4Ycf4pZbbsENN9yAoqIiZGRktHnTyczMlPbT2rJq/R20ZPjw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\nYII=\n"
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"perf_plot([numpy_time, cpuvec_time, parallel_time, gpuvec_time, cuda_time],\n",
" ['numpy', 'cpu-vect', 'parallel-vect', 'gpu-vect', 'cuda'])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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}
],
"prompt_number": 15
}
],
"metadata": {}
}
]
}
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