{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#On Colab try:\n", "\n", "#copy from https://github.com/cfteach/brds/blob/main/other/requirements_lec4_colab.txt\n", "#%%writefile requirements.txt \n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#pip install -r requirements.txt " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import pymc3 as pm\n", "import arviz as az\n", "import requests" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "az.style.use('arviz-darkgrid')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC3 v3.11.5\n", "Running on ArviZ v0.12.1\n" ] } ], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-darkgrid\")\n", "print(f\"Running on PyMC3 v{pm.__version__}\")\n", "print(f\"Running on ArviZ v{az.__version__}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PyMC3 primer" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 0] \n", "[1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 0] \n" ] } ], "source": [ "# Let's create our dataset for the flipping coin problem\n", "np.random.seed(123)\n", "trials = 20\n", "theta_real = 0.35 # unknown value in a real experiment (pretend to know it)\n", "data = stats.bernoulli.rvs(p=theta_real, size=trials)\n", "print(data, type(data)) #this is what you observe\n", "\n", "data2 = [1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0] \n", "data2 = np.array(data2)\n", "\n", "print(data2, type(data2))\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [θ]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [8000/8000 00:00<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/cfanelli/Desktop/teaching/BRDS/jupynb_env_new/lib/python3.9/site-packages/scipy/stats/_continuous_distns.py:624: RuntimeWarning: overflow encountered in _beta_ppf\n", " return _boost._beta_ppf(q, a, b)\n", "/Users/cfanelli/Desktop/teaching/BRDS/jupynb_env_new/lib/python3.9/site-packages/scipy/stats/_continuous_distns.py:624: RuntimeWarning: overflow encountered in _beta_ppf\n", " return _boost._beta_ppf(q, a, b)\n", "/Users/cfanelli/Desktop/teaching/BRDS/jupynb_env_new/lib/python3.9/site-packages/scipy/stats/_continuous_distns.py:624: RuntimeWarning: overflow encountered in _beta_ppf\n", " return _boost._beta_ppf(q, a, b)\n", "/Users/cfanelli/Desktop/teaching/BRDS/jupynb_env_new/lib/python3.9/site-packages/scipy/stats/_continuous_distns.py:624: RuntimeWarning: overflow encountered in _beta_ppf\n", " return _boost._beta_ppf(q, a, b)\n", "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 7 seconds.\n" ] } ], "source": [ "# Let's create our model in PyMC3\n", "\n", "# the following creates a sort of container of our model\n", "with pm.Model() as model: #everything inside the with-block will add to our_first_model\n", " # prior\n", " θ = pm.Beta('θ', alpha=1., beta=1.)\n", " # likelihood\n", " y = pm.Bernoulli('y', p=θ, observed=data) #using observed data tells PyMC this is the likelihood\n", " \n", " #\"The Inference Button\"\n", " idata = pm.sample(1000, random_seed=123, return_inferencedata=True) #https://docs.pymc.io/en/v3/api/inference.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With PyMC3 version >=3.9 the return_inferencedata=True kwarg makes the sample function return an arviz.InferenceData object instead of a MultiTrace. InferenceData has many advantages, compared to a MultiTrace: For example it can be saved/loaded from a file, and can also carry additional (meta)data such as date/version, or posterior predictive distributions. See [here](https://docs.pymc.io/en/v3/pymc-examples/examples/pymc3_howto/api_quickstart.html#3.1-Sampling) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Notes
\n", "

\n", " (i) θ is used first as a Python variable then as the first argument of the Beta function; using the same name is a good practice to avoid confusion.\n", " The θ variable is a random variable; it is not a number but an object representing a probability distribution from which we can compute random numbers and probability densiities. \n", "

\n", " θ ~ Beta (α, β)\n", "
\n", "
\n", " y ~ Bern (p=θ) \n", "\n", "

\n", " (ii) Notice that using the observed data says to PyMC we are working with a Likelihood (in the example above is Bernoulli). The values of the data can be passed either as a Python list, a tuple, a numpy array or a pandas DataFrame. \n", "

\n", "\n", "

\n", " (iii) The last line, with trace, is known as the \"Inference Button\". We are asking for 1000 samples from the posterior and will store them in the trace object. pyMC3 is doing a lot of things under the hood:\n", " \n", " (a) Auto-assigning NUTS sampler... (NUTS is an inference engine for continuous variables)\n", "\n", " (b) Initializing NUTS using jitter+adapt_diag... (method for initiliazing the sampler)\n", "\n", " (c) Multiprocess sampling (4 chains in 4 jobs) (PyMC3 will run 4 chains in parallel; we will get 4 independnent samples from the posterior at the price of one; this is done taking into account the number of processors in your machine by default; otherwise, you can specify in the sample the argument 'chains')\n", "\n", " (d) NUTS: [θ] (It tells us which variables are being sampled by which sampler. This is useful when things are more complicated than the problem we are dealing which has only θ)\n", "

\n", "
\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Note
\n", "

\n", " Suppose we asked 1000 samples. The autotuning of NUTS takes 1000 iterations. If you have n chains, each will be 2000 (=500+1000). Therefore the total number of iterations is going to be: 2000*n \n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(4,) \n", "\n", "array([0.25413149, 0.26956788, 0.26554305, 0.38890311, 0.33169636,\n", " 0.33169636, 0.33169636, 0.33169636, 0.45191069, 0.3126736 ,\n", " 0.3126736 , 0.19575665, 0.21405395, 0.45964194, 0.36348839,\n", " 0.34477404, 0.34477404, 0.1410477 , 0.12752922, 0.22593796,\n", " 0.43605942, 0.35175872, 0.36365463, 0.36365463, 0.35833546,\n", " 0.40105357, 0.30622827, 0.472057 , 0.472057 , 0.41429502,\n", " 0.4015957 , 0.47527784, 0.47527784, 0.35200729, 0.24111654,\n", " 0.24111654, 0.21239008, 0.2903128 , 0.2903128 , 0.29730441,\n", " 0.2610168 , 0.26732052, 0.31411239, 0.41194548, 0.36112494,\n", " 0.35961239, 0.15127028, 0.44463579, 0.44463579, 0.3881053 ,\n", " 0.26885622, 0.15308177, 0.37777333, 0.27771344, 0.29246245,\n", " 0.29246245, 0.46962063, 0.2930268 , 0.2287471 , 0.2287471 ,\n", " 0.28588129, 0.27787922, 0.27787922, 0.27787922, 0.27978702,\n", " 0.22886973, 0.27319566, 0.30890351, 0.2627965 , 0.29012315,\n", " 0.20241934, 0.23469934, 0.3590283 , 0.3590283 , 0.37779003,\n", " 0.31210844, 0.42500347, 0.36705026, 0.30339335, 0.31086282,\n", " 0.28614225, 0.28614225, 0.36577017, 0.36441152, 0.36441152,\n", " 0.59188056, 0.30936308, 0.22075668, 0.27679366, 0.37230168,\n", " 0.39022568, 0.39022568, 0.40572078, 0.20977073, 0.20977073,\n", " 0.20977073, 0.28984055, 0.25004915, 0.22810009, 0.24027512,\n", "...\n", " 0.27288143, 0.27288143, 0.2869385 , 0.26761004, 0.38377393,\n", " 0.46319306, 0.46319306, 0.19774207, 0.47697691, 0.41316722,\n", " 0.15580426, 0.07980051, 0.1868928 , 0.33119767, 0.33119767,\n", " 0.17249866, 0.51187676, 0.34526685, 0.34526685, 0.23548269,\n", " 0.21570973, 0.34809797, 0.35302006, 0.36154391, 0.31843739,\n", " 0.36400832, 0.36400832, 0.39649546, 0.39649546, 0.28355596,\n", " 0.27929209, 0.19074473, 0.21242491, 0.31324342, 0.35943646,\n", " 0.41131245, 0.24918669, 0.21337022, 0.27357124, 0.24449123,\n", " 0.23519251, 0.29536006, 0.29536006, 0.27146541, 0.13885775,\n", " 0.16202496, 0.22000499, 0.24123212, 0.19180491, 0.19546866,\n", " 0.11967518, 0.39786583, 0.25225099, 0.31466868, 0.36517219,\n", " 0.33566636, 0.38175771, 0.38175771, 0.1963503 , 0.21361871,\n", " 0.35015722, 0.38865789, 0.38865789, 0.14806516, 0.48642805,\n", " 0.48642805, 0.33596087, 0.33596087, 0.12913337, 0.25008185,\n", " 0.21990255, 0.1158873 , 0.45695984, 0.34971066, 0.45305183,\n", " 0.45305183, 0.36610944, 0.38033667, 0.38033667, 0.16821574,\n", " 0.28622382, 0.28622382, 0.28622382, 0.35707782, 0.35707782,\n", " 0.33556605, 0.34317844, 0.37377388, 0.41350492, 0.38986633,\n", " 0.37526948, 0.35533573, 0.46284388, 0.36807115, 0.37985616,\n", " 0.37985616, 0.19826559, 0.24261578, 0.39252004, 0.11240422])\n", "Coordinates:\n", " chain int64 3\n", " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n", "\n" ] } ], "source": [ "#print(idata)\n", "print(np.shape(idata), type(idata))\n", "print(idata['posterior']['θ'][3])\n", "post_chain = idata['posterior']['θ'][3] \n", "print(type(post_chain))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summarizing the posterior" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 152, "width": 872 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_trace(idata, combined = False, compact=False)\n", "plt.savefig('./output/B11197_02_01.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Note\n", "

\n", " Depending on the number of chains (N), you have N curves.\n", "

\n", " The plots on the left are obtained from Kernel Density Estimation (KDE) of the corresponding histograms, while the plots on the right are the sampled values from each chain. \n", "

\n", " You should compare these curves with those obtained analytically in the previous lecture.\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
θ0.320.0960.1380.4970.0020.0021706.02561.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail r_hat\n", "θ 0.32 0.096 0.138 0.497 0.002 0.002 1706.0 2561.0 1.0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#it returns a Pandas dataframe\n", "az.summary(idata)\n", "# Got error No model on context stack. if return_inferencedata=False\n", "# However, if return_inferencedata=False trace['θ'] not found... " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's the mean from all the chains... \n", "HDI are simple to understand at this point. The other metrics will be explained in the following lectures, but for now know that they are used to interpret the results of a Bayesian inference." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Note
\n", "

\n", " HPD: High Posterior Density; HDI: is the highest density interval. Another way of summarizing a distribution, which we will use often, abbreviated HDI. The HDI indicates which points of a distribution are most credible, and which cover most of the distribution.\n", "\n", " \n", "They are often used as synonyms in the legends of the plots. \n", " \n", "

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Geeks
\n", "

If you want to learn more:\n", " \n", "- mcse: [Monte Carlo Standard Error](https://www.rdocumentation.org/packages/LaplacesDemon/versions/16.1.6/topics/MCSE)\n", " \n", "- [ess](https://arviz-devs.github.io/arviz/api/generated/arviz.ess.html): effective-sample size\n", " \n", "- [ess_bulk](https://mc-stan.org/posterior/reference/ess_bulk.html): useful measure for sampling efficiency in the bulk of the distribution. The [rule of thumb](https://beanmachine.org/docs/diagnostics/) for ess_bulk is for this value to be greater than 100 per chain on average. Since we ran N chains, we need ess_bulk to be greater than N*100 for each parameter. \n", " \n", "- [ess_tail](https://mc-stan.org/posterior/reference/ess_tail.html): compute a tail effective sample size estimate for a single variable. The rule of thumb for this value is also to be greater than 100 per chain on average. \n", " \n", "- [r_hat](https://arviz-devs.github.io/arviz/api/generated/arviz.rhat.html): diagnostic tests for lack of convergence by comparing the variance between multiple chains to the variance within each chain. converges to unity when each of the traces is a sample from the target posterior. Values greater than one indicate that one or more chains have not yet converged.\n", " \n", "\n", " \n", " \n", "

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Posterior-based decisions (Is the coin fair?)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Strictly speaking, a fair coin θ=0.5. But the probability of observing exactly 0.5 is practcally 0. We can relax this definition of fairness to a Region of Practical Equivalence (ROPE), say [0.45,0.55] (it depends on your expectations and prior knowledge and it is always context-dependent). \n", "\n", "There are three scenarios:\n", "- the ROPE does not overlap with the HDI; the coin is not fair\n", "- the ROPE contains the entire HDI; the coin is fair\n", "- the ROPE partially overlaps with HDI; we cannot make any conclusions" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 296, "width": 440 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_posterior(idata, hdi_prob=0.99999)\n", "plt.savefig('./output/B11197_02_02.png', dpi=300)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 296, "width": 440 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_posterior(idata, rope=[0.14, .5])\n", "plt.savefig('./output/B11197_02_03.png', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Notes
\n", "

\n", " Unlike a frequentist approach, Bayesian inference is not based on statistical significance, where effects are tested against “zero”. Indeed, the Bayesian framework offers a probabilistic view of the parameters, allowing assessment of the uncertainty related to them. Thus, rather than concluding that an effect is present when it simply differs from zero, we would conclude that the probability of being outside a specific range that can be considered as “practically no effect” (i.e., a negligible magnitude) is sufficient. This range is called the region of practical equivalence (ROPE).\n", " \n", "Therefore, the idea underlining ROPE is to let the user define an area around the null value enclosing values that are equivalent to the null value for practical purposes\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3AAAAJQCAYAAADPMYZVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAABYlAAAWJQFJUiTwAACYRklEQVR4nOzdd5hTxeLG8e9JsoVdlt5BEBAWQYqgUqWrNAV7L0hRUX/X3nvDeu0FBBE7ekUpAtJBadI7C9J7XerWJPP740CSZXdhYUuS3ffzPPe5M+ec5EyIyZ43M2fGMsYgIiIiIiIioc8R7AaIiIiIiIhIzijAiYiIiIiIhAkFOBERERERkTChACciIiIiIhImFOBERERERETChAKciIiIiIhImFCAExERERERCRMKcCIiIiIiImFCAU5ERERERCRMKMCJiIiIiIiECQU4ERERERGRMKEAJyIiIiIiEiYU4ERERERERMKEK9gNEBERySvx8fGXAPcClwJVgSPAOuAn4OuEhISjQWyeiIhIrlnGmGC3QUREJFfi4+MdwEDgccDK5rB1wPUJCQlLC6xhIiIieUwBTkREwl58fPzb2OENIBUYBawESgI9gdrH9+0FLklISNhU0G0UERHJCwpwIiIS1uLj4y8H/jxe3Qx0TUhIWB2w3wl8CNx/fNO8hISEFgXbShERkbyhACciImErPj7eAhYBTQADtEhISPgnm+MmAp2Pb7o2ISFhZEG1U0REJK9oFkoREQlnrbHDG8AfWYU3gISEBAO8HLBpQD63S0REJF8owImISDi7NqD8v9McOxvYd7zcLj4+vmz+NElERCT/KMCJiEg4axdQnnWqAxMSErzA/ONVF3bvnYiISFhRgBMRkbB0fOmA849Xk4H1OXjYsoBygzxvlIiISD5TgBMRkXBVDYg+Xt52/D630wkMeXXyvkkiIiL5yxXsBoiIiJylkgHlOvHx8Wc6rXKJvGyMiIhIQVAPnIiIhKu4ID9eRESkwKkHTkRECoODwOs5OO5i4Ib8bYqIiEj+UYATEZFwdSSgnJqQkPDu6R4QHx8/AH+AO3KqY0VEREKRhlCKiEi4OhRQLpbDx8QGlA/nYVtEREQKhAKciIiEq23YywcAlIiPj4/JwWOqBpTX5X2TRERE8pcCnIiIhKXjC3OvCdhUKwcPC1w6YEXetkhERCT/KcCJiEg4mxZQbn6qA48v/N3qeNUNzM6vRomIiOQXBTgREQlnvwaUrz/NsV2BUsfL0xMSEvbnS4tERETykQKciIiEsznAouPly+Pj4ztkdVB8fLwLeDlg06f53TAREZH8oAAnIiJhKyEhwQBPHq9awI/x8fFNA4+Jj4+PAIYCzY5vmpOQkPB7gTVSREQkD1nGmGC3QUREJFfi4+PfxB/k3MAoYBlQGrgGqH583x7gkoSEhM0F3kgREZE8oAAnIiJh7/gEJW8AT2D3xGVlLXB9QkLCsgJrmIiISB5TgBMRkUIjPj7+EuBeoC32mm9HsNd7+wn4KiEh4VgQmyciIpJrCnAiIiIiIiJhQpOYiIiIiIiIhAkFOBERERERkTChACciIiIiIhImFOBERERERETChAKciIiIiIhImFCAExERERERCRMKcCIiIiIiImFCAU5ERERERCRMKMCJiIiIiIiECQU4ERERERGRMKEAJyIiIiIiEiZcZ/vAxMREk5cNkbwRFxcHwJEjR4LcEjlTeu/Cm96/8KX3Lrzp/Qtvev/Cl9673CtdurR1No9TD5yIiIiIiEiYUIATEREREREJEwpwIiIiIiIiYUIBTkREREREJEwowImIiIiIiIQJBTgREREREZEwoQAnIiIiIiISJhTgREREREREwoQCnIiIiIiISJhQgBMREREREQkTCnAiIiIiIiJhQgFOREREREQkTCjAiYiIiIiIhAkFOBERERERkTChACciIiIiIhImFOBERERERETChAKciIiIiIhImFCAExERERERCRMKcCIiIiIiImHCFewGiIhI3jt61LByFSSshW3bDAcSISUF4uKgciWIr2txycVQurQV7KaKiIjIGVCAExEpRJYsNfz6m+HvWZCefqojDU4ntGltuOsOizrnKciJiIiEAwU4EZEwZ4xh4SL4+hvDkqU5f5zHAzNmwsy/DF2vMAy416JUKQU5ERGRUKYAJyISxrZvN7z9nh3gTnZebWjUEGrWtChfHqKj4NBh2LTJsGAhLF9hH2cMjJsAs2YbnnsWWjZXiBMREQlVCnAiImHIGMOoMfDxp4bUVP92pxO6dYHrr7OoVTO7IGbRpzes32AYPMQwa7a99dBhePJpw/33wY3XK8SJiIiEIgU4EZEwc/So3es2dZp/m8MBV3aH22+1qFQpZ+Grdi2Lt96wmDPX8M57hj17weu1Q2FSEvS+UyFOREQk1GgZARGRMLJ6jeHu/hnDW62aMPhzi8cfdeQ4vAVq2cJiyCCLhhf4tw0dZvj2e5MHLRYREZG8pAAnIhIGjDGM+MVw3wOGHTv823tdBV9+YVEvPne9ZWXKWLz/rsXFF/m3DfrS8Md4hTgREZFQogAnIhLiDh82PPWs4eNPDW63vS02Fl5+0eKxRxxEReXNUMfoaIs3X7doeqF/29vvGpYuU4gTEREJFQpwIiIhbNNmQ//7/BONANSLh6++tOjUIe/vUYuKsnjjVYvzatt1jweee9Gwd69CnIiISChQgBMRCVFz5hruGWDYtt2/7cbr4fNPLKpWyb8JRooXt3hroEWpUnY9MRFefs3g8SjEiYiIBJsCnIhIiDHG8MNPhieeNhw7Zm+LjoZXX7J48H4HERH5PztkxQoWr7xo4Tj+V2LJUhjxS76fVkRERE5DAU5EJISkphreeNPw2RcGc7zDq0IF+Pxjiw7tC3Za/6YXWtxxm78+eIhhyxb1womIiASTApyISIjYv9/wfw8bxv/p39bwAhjyhUWdOsFZk+2uOyzOr2eX3W7474cGYxTiREREgkUBTkQkBCSsNfS717BylX9bt67w4X8typQJ3oLaLpfFE4/6h1IuWAhTpwetOSIiIkWeApyISJCN/9Ne323PXrvucMCD91s8/YRFZGTwwtsJdepYXHO1v/7xp4akJPXCiYiIBIMCnIhIkKSnG977wMvrAw1pafa24rHwzpsWN15vYVnBD28n9O1tUaa0Xd63D4YNV4ATEREJBgU4EZEg2LvX8OBDht9+9287twYM/tyi+SWhE9xOKF7c4v77/O36+X+wZatCnIiISEFTgBMRKWCLlxju7m9YsdK/rUN7O7xVrx564e2Eyy+DJo3tsscDQ4cpwImIiBQ0BTgRkQLi9Rp+HGF46BFDYqK9zemA+++z11yLiQnd8AZgWRYD7vW3ccpUWPevQpyIiEhBUoATESkAW7YaHviP4dPPDR6vva1UKXj/PYubbwyt+91Opf75Fpe29teHfKUAJyIiUpAU4ERE8pHbbfjuB8NddxuWLfdvr38+fDXYoumF4RHcAvXtY3Eib86aDStWKsSJiIgUFAU4EZF88u96wz0DDF8MNqSl29ucTrjzdvjkQ4sKFcIvvAHUrmXRuZO/PuhLLe4tIiJSUBTgRETyWFqaYchXXvr0NySs9W+vWxeGDLLo18cREuu75Uafuyycx/+CLF4CS5YGtTkiIiJFhgKciEgeWrbc0Ke/4etv7JkaASIj4N7+FoM/s6hzXngHtxOqVbPo0sVf/3GEeuBEREQKgivYDRARKQx27PTywUcp/DkxY5BpeAE8/URoLw9wtm650eKPcfbrnT0HNm4y1Dy38L1OERGRUKIeOBGRXEhKMnw51Euva4/w58R03/Zi0fDQ/1l8+lHhDG8ANWpYtAmYkXLEz+qFExERyW8KcCIiZyE11fDz/ww332YY/i2kpvr3deoA335tcd01Fg5H4QxvJ9x8o//1/TkJ9u1XiBMREclPGkIpInIGUlMNo8bA9z8Y9h/IuK/++U4eGOClUcPCHdoCNWoIDerDylWQng6/jjTc06/ovH4REZGCph44EZEcSEkxjPjFcMPNho8+yRjeypWDV18qxvffxBap8AZgWVaGXrjfRtnDSkVERCR/qAdOROQUkpIMv4+2Z1lMTMy4r3w5uO1Wix7doFy5yOA0MARc2gaqVYVt2+HoUXso5dU9g90qERGRwkkBTkQkC8nJhv+NhJ9GGA4dzrgvMLhFRRWtHresOJ0W118L739k97z9+puh11V275yIiIjkLQU4EZEAHo9hwkT4cqhh376M+ypUgNtusejeVcHtZF2ugC++hORk2LQJFi2GZk2D3SoREZHCRwFOROS4+QsMn3xuWL8+4/bKleD22yy6XgEREQpuWYmNtejWxfDrb3b9198MzZrq30pERCSvKcCJSJG3f7/h3f8a/pqVcXvZMnB3b7vHzeVSGDmda3pZ/PqbPYzy71mwa5ehUiX9u4mIiOQlzUIpIkXalGmG23tnDG/R0dD7TvjxO4ueV1oKbzlUo4bFRc3sstcLv4/WbJQiIiJ5TT1wIlIkpaYa3n7P8OfEjNu7d4N+d1uUK6fQdjauu8ZiwUI7uI0ZC73vNLpfUEREJA8pwIlIkbNnj+Hp5wwJa/3bKlaEZ560dN9WLrVsYd8zuHMXHDoM02fAFZcHu1UiIiKFh4ZQikiRsmKlod+9GcNbty4wfKjCW15wOi2uutL/7zh2nIZRioiI5CUFOBEpMiZMNPzfQ4b9B+y60wGPPmzxzFMOihdXeMsrXbvY/7YAi5fA1m0KcSIiInlFAU5EioRvvze89oYhLd2ulygB779ncXVPBbe8Vq6sRcuW/vof6oUTERHJMwpwIlLoffeDYdCX/hBx7rnw5ecWTS9UeMsvPbr5/23HTwC3WyFOREQkLyjAiUih9sNPhi8G+8ND0wth0KcWVasqvOWnFs3tdfQA9h+AufOC2x4REZHCQgFORAqtX0caPvsiY3h7e6BFbKzCW35zuSy6dvHXNZmJiIhI3lCAE5FCaeZfhg8+9oeGJo3hrTcsoqMV3gpK94BhlHPmwL59CnEiIiK5pQAnIoXOipWGl141mON5of758M6bFsWKKbwVpHOqWTRpbJc9Xpg4ObjtERERKQwU4ESkUNm+3fDUM4a0NLtetQq8NVDhLVi6dQmczMRgjHrhREREckMBTkQKjdRUw7MvGA4esuslS8C7b1uULqXwFizt20FUlF3euAnW/RvU5oiIiIQ9BTgRKTQ++dzw73q7HBlh97ydU03hLZhiYizaXeqvT/hTPXAiIiK5oQAnIoXC9BmG33731x+43+KCBgpvoaDLFf73YdIUrQknIiKSGwpwIhL2du40vPm2PxS0bwtX9wxigySDZk2hXDm7nJgI/8wPbntERETCmSvYDRARyQ2v1/D6m4ajx+x65Urw5OMWlqXet7M1Z84cxo4dy8qVKzlw4ACxsbFUq1aNjh070qtXL4oVK3ZGz+d0Wlx+meGHH+36hImGSy72sGTJElatWsXq1avZunUrhw4d4tChQzgcDkqVKkXdunVp27YtnTt3Jjo6+pTnOHr0KHPnzmXhwoUkJCSwbds2jh07RkxMDBUrVqRRo0b06NGD+vXrn+0/i4iISEiwznZGsMTERI2BCUFxcXEAHDlyJMgtkTOl9+7s/DrS8P5H9teR0wGffWLRoH7Bh7fC8P6lpaXx6quvMmnSpGyPqVatGgMHDqROnTpn9NwbNhjuuNt+nyIj4OMPNtOnz805emzlypV5+eWXadSoUZb7v/32W7788kvSTkw9egpdunThqaeeyhAIC8N7V5Tp/Qtvev/Cl9673CtduvRZXbCoB05Ewtb2HYbPB/t/S7rtVoIS3gqLV155hcmT7cXaSpYsSa9evahduzYHDx5kwoQJrFq1im3btvHwww8zdOhQKlasmOPnrlXLom5dw9q1kJYO844Po6xatSoNGjSgZs2aVKpUiaioKJKSkli/fj2TJ09m79697Ny5k//7v/9j6NCh1K5dO9Nzb9myxRfeqlatysUXX0ydOnUoVaoUR44cYf78+UyfPh2Px8OECRNITEzk/fffx+HQXQQiIhJ+FOBEJCx5vYa33jGkpNj1mufCnbcrvJ2tmTNn+sJbpUqV+OKLL6hUqZJv/3XXXccbb7zB2LFj2bdvHx9++CFvvPHGGZ2jy+UWa9fagXvuvAqMHDmSKlWqZHv8Pffcw/PPP89ff/1FSkoKH3/8MR988EGm4yzLonXr1tx66600bdo00/5evXqxZMkSHnnkEZKSkpg3bx7jxo2jR48eZ9R+ERGRUKCfH0UkLI0eC4sW22WHA555yiIyUgHubA0ZMsRXfuKJJzKENwCHw8Fjjz3m2z516lTWr19/Rue4rJM9zBVg1epiGFP5lMdHR0fzzDPP4HQ6AZg/fz7p6emZjnvggQd47733sgxvJzRp0oT77rvPV//jjz/OqO0iIiKhQj1wIpKnFi5cyP333w9Anz596NevH1u2bGHEiBHMmzePvXv3EhcXR3x8PHfccQeNGzfO8PhZs2YxcuRI1q1bx8GDBylTpgytWrWiT58+lC1bFoCDBw2DvvQPnbz5Rji/noXX62Xq1KlMmzaNVatWceDAAZxOJ+XLl6dp06Zce+21nHfeeads/65du/jrr79YvHgx//77L3v37iU9PZ24uDjOPfdcWrZsyTXXXEPx4sWzfY4dO3ZwzTXXANCtWzdeeOEFDh48yC+//ML06dPZuXMnYN9P1qlTJ2688cbTTtKRn7Zs2cLatWsBOOecc2jVqlWWx0VHR3PVVVcxePBgAKZMmZLlkMbslC5t0by5YfYcuz5hoqFP71OH7tKlS1OqVCn279+Px+Ph4MGDlC9fPsMxJUqUyNH5O3bsyHvvvQdwxuFTREQkVCjAiUi+mjp1Kq+88gopJ8Y6Aqmpqezbt4/Zs2fz7LPP0qNHD9xuN2+++SZjx47N8Phdu3YxcuRIZsyYwRdffME555zD4KGGE/dMV60Cd99lsW3bNp555hlfEAm0efNmNm/ezKhRo7jrrrvo379/lm1duHAhDzzwAFlN7pSYmEhiYiKLFy/mxx9/ZODAgTRp0iRH/warV6/miSeeYO/evRm2r127lrVr1zJlyhQ+/vhjSpYsmaPny2vz5s3zlZs3b37KY1u2bOkLcHPnzs323zI7Xa6wmD3H/vf9cxLcfZc55YyhR48e5dChQwC4XK4ch7WsxMbG+sqpqaln/TwiIiLBpAAnIvlmzZo1fPvtt7hcLm666Sbq1auHMYY5c+YwadIkjDEMHDiQRo0a8fPPPzN27FjOO+88unTpQqVKlThw4ACjRo1i/fr17N+/n1dffZVHHh3EmICM938PWOzdu52+ffty8OBBABo3bkzr1q2pXLkyHo+HNWvWMG7cOA4fPsxXX32FZVn069cvU3vT0tIwxlCrVi2aNm3KueeeS8mSJUlLS2P37t3MnDmTNWvWkJiYyGOPPcY333xzynu4APbs2cMjjzzC4cOHueKKK2jWrBnFihVj06ZN/O9//+PQoUOsXbuWDz74gBdffDEv//lzbMOGDb5yvXr1TnlsnTp1cDqdeDweNm7ciDGnDmAna90SYmPh2DHYsQPWJMD52ZzS7Xbz7rvv4na7AWjVqhVRUVE5PtfJAnvdTh4iKiIiEi4U4EQk38yaNYtq1arxySefZLhg7tq1K7Vq1eKLL77A4/Hw/PPPs3btWq655hoee+yxDLMDXnXVVfTp04f169ezbNkyXh+4EmPstbxatoCWLQy9ez/LwYMHiYyM5MUXX6RTp04Z2tGlSxduv/12Hn74YdauXcuwYcPo1KkTtWrVynDcueeey3fffZftMMu7776biRMn8tJLL3H06FGGDh3K888/f8p/gwULFhAXF8egQYO44IILMuzr3r07d955J0eOHGHixIkMGDAg0/BAgCVLlvh6oXKrXbt2mbZt2bLFV65c+dT3pblcLsqXL8+uXbtITk5m7969VKhQIcfnj4qyaNvGMP5Puz55iiG+ruGvv/7yHZOUlMSmTZuYMmUK27Zt87Xr4YcfzvF5svL777/7ytkNExUREQl1CnAikq9eeumlLHs7brnlFr755huSkpJISEigdu3aPProo5mmdo+OjuaOO+7w9U6t/3ceDld9IiLs3rcZM6aTkJAA2JNZnBzeTihbtiyvvfYaN998Mx6PhxEjRvD0009nOOZ04QXg8ssvZ+7cuYwbN47Jkyfz9NNP43Kd+qv0kUceyRTeAKpUqcK1117L119/jcfjYcGCBXTt2jXTcYMGDWLx4sWnbVtOzJ07N9O2wDV8SpUqddrnKFGiBLt27fI99kwCHEDnThbj/7SHUU6ZBn3vTuPJJ5/M8tiYmBg6derE/fffn6O2ZWfZsmW+iUuioqK4+eacrUEnIiISajQLpYjkm3r16mUZXAAiIyM5//zzffWrr77aN9vgyQInOjHejQDceD2cU81iwoQJgH1/U8+ePU/ZnurVq1O/vt17F3jf15lq2LAhYN9H9e+//57y2NKlS3P55Zdnu/+iiy7ylTdu3HjWbcqN5ORkXzkyMvK0xwcOY0xKSjrj8zVrCqWO3+63bx8sX5H9sXXq1KFZs2annDTmdPbv38+zzz6L1+sFoH///mccOkVEREKFeuBEJN80aNDglPvLlCnjK58IVqc7Do5QtgzccZt939WSJUsAKFeuXJa9Syc70cO3a9cuUlJSspz9ccWKFUyYMIGVK1eyfft2kpKSfPdhnWzPnj2nvG+sXr162QZTIMOQycCesECff/55to8PRy6XRfv2ht9H2fWZf0X63jtjDIcPH2bdunWMHj2aiRMnsnTpUkaNGsUbb7xB6dKlz+hcycnJPP74474JZFq3bs0tt9ySp69HRESkICnAiUi+Od2sihERETk69uhR/3HGpNHnbouYGIukpCTfvWGbN2/Odhhedo4cOZIhwKWnp/PGG28wfvz4HD/HsWPHTrn/dMP+Av8NgjUzYrFixXzltLS00x4f2M6YmJizOmfnjha/j7KHUU6bDg/9n8HlsrAsi5IlS3LRRRdx0UUX0axZMwYOHMjixYt57LHHGDJkSI4nTUlNTeXxxx9n1apVADRq1IjXXnvtjCZdERERCTUKcCKSb87kQvlUx3413D+tf3Q0dOtil48ePXrWbQMyLQr9zjvv+MJbZGQkLVu2pH79+pQvX57o6GhfT9qCBQv45ZdfAPB4PKc8RziEhbi4OF/5xEyep3L48OEsH3smGjWE8uVg7z44dBgWLIQWWaxg0LNnTyZNmsSCBQtYuXIlc+bMydEEJOnp6Tz11FMsWLAAsHt433///QxhVUREJBwpwIlISNu82TBmjL9etYo9BA8y9v5ceOGFuRpquGPHDsYcP1GFChX4/PPPqVq1apbHnryeW37L71koq1evzsKFCwF8i4xnx+12+15/sWLFspw1MyccDouOHQ0jfrbrU6YaWjTPOuy2bNnSF8QWLVp02gDndrt55plnmDPHXjG8bt26fPDBBxnWgRMREQlXCnAiEtIGDTF4vP564DrOxYsXJyYmhqSkJPbs2ZOr8yxcuNC3gPcdd9yRbXiD04ecvJbfs1AGLqewZs0aevToke3j161b5+t1rFmzZq56GC/raDHiZ/vffObf8FiqISoq8/MFBvXT9bq63W6ef/5537IEtWvX5uOPP87VAuAiIiKhRLNQikjIWpNgmPnXqY9p0qQJANu3b2fr1q1nfa4DBw74yqcKb5C7GSxDUfPm/rGLp3ttJ3q1AFq0aJGr88bH2z2qYC/sPfefrI87sRYcnPpeSY/Hw0svvcS0adMAO2B+/PHHp70XU0REJJyoB05EQtZXX5vTHtOtWzdmz54NwJdffskrr7xyVucKnMxk+/bt2R43c+bM0y4dkNfyexbK6tWrU7duXdauXcvWrVuZPXt2lsMUU1NTGT16tK+e3Zp7OWVZFp07GYZ/a9cnTzG0uzRjD1xSUhITJ0701Rs1apTlc3m9Xl5//XUmT54MQI0aNfjkk09OmsFUREQk/KkHTkRC0qrVhtnHO3tONUqvY8eOviUIJk6cyPvvv59pcpJAKSkpjB07lkmTJmXYHrgm3ffff59hoo4TVqxYwWuvvXYGryJ89O3b11d+++23fQt1n+D1enn33Xd92zt27Ejt2rWzfK4vv/ySFi1a0KJFi2wD9VdffcWGDRvo1NH/5s6eA0lJ/tC+f/9+nnjiCd89d+eccw6XXHJJpucyxvDmm28ybtw4AKpVq8Ynn3xC2bJlc/LSRUREwop64EQkJA35yn8h37ED/Dku6+McDgcDBw6kb9++7N27lxEjRjBlyhQ6duxInTp1iI2NJTk5md27d7N69WoWLFhAcnIy/fv3z/A8DRs2pF69eqxZs4adO3dy4403cs0111C9enVSU1NZsGABU6ZMAeCKK67gzz//zLfXHgxt27alc+fOTJ48mV27dnHnnXfSq1cvzjvvPA4dOsS4ceN80/GXK1eO//znP7k637Rp0xg8eDB16tSheExjDh+uSbKnBJ9/AdWqHmDlypX89ddfvkXGY2JieOGFFzIsu3DCF1984esZdLlc3Hjjjb62nkrz5s2zXAdQREQklCnAiUjIWbbc8M98u+xwwN13WtkGOICKFSsybNgwXnrpJRYsWMC+ffv4+eefsz3e6XRm6p2xLItXX32VBx54gN27d5OYmMjQoUMzHBMVFcVjjz2GZVmFLsABvPDCC1iWxaRJkzh06BDDhw/PdEy1atUYOHAgFStWzJNzrlu3Dljnq/+SxdtWt25dnnnmmWwXTF+2bJmv7Ha7ee+993J07pEjR1KlSpUzaq+IiEiwKcCJSMgZOszf+3ZZZ6hR4/QzHZYrV45PPvmERYsWMWnSJJYuXcrevXtJSkoiOjqaChUqULt2bZo2bUrbtm0pV65cpuc455xz+Oabb/jhhx+YMWMGO3fuxOl0Ur58eS6++GKuvfZaatasydixY/P09YaKyMhIXn31Vbp168bYsWNZsWIFiYmJxMTEcM4559CxY0d69eqVJ2upffDBB8ydO5dly5axatU61q3bARwFLEqWjKVy5UrUq1ePDh06cPHFF+NwaMS/iIgIgHVi2uwzlZiYeHYPlHx1YlHdI0eOBLklcqb03tkWLzE8+JD99eJ0wHffWJxTLXwWwy7q79/Z6nefl9Wr7fKTj1lc2aPg3nO9d+FN71940/sXvvTe5V7p0qXP6o+dftIUkZBhjMnQ+3bFFYRFeJPcuyxgMpPJU/X7oIiISHYU4EQkZCxcBEuW2mWnE+66Q+GtqOjYwT/b6OIlcOCAQpyIiEhWFOBEJCSc3PvWvRtUqawAV1SUK2fR+PgSb14vzDjNAu4iIiJFlQKciISEf+bD8hV22eWCO25TeCtqOrT3v+dTp6kHTkREJCsKcCISdMYYhgT0vl3ZAypVVIAratq39Q+jXLoM9u9XiBMRETmZApyIBN2cufhmIIyMgDtuVXgrisqW1TBKERGR01GAE5GgOrn3redVUL68AlxR1bGDhlGKiIicigKciATVX3/D2rV2OSoKbrtF4a0oa3cpnFize+ky2KdhlCIiIhkowIlI0Hi9hqFf+y/Qr+5pD6OToitwGKUxMGNmcNsjIiISahTgRCRoZsyE9evtcrFouPVmhTfJOIxy2nT1wImIiARSgBORoPB4Mva+XXsNlC6tACcaRikiInIqCnAiEhRTpsGmTXa5WDG4+UaFN7GVKWPRpLFdNgZmzAhue0REREKJApyIFDi32/BVQO/bjddDyZIKcOLXMXBRbw2jFBER8VGAE5EC9+ck2LbNLhcvDjder/AmGbVr6x9GuWw57N2rECciIgIKcCJSwNLTDV8P91+M33SDRVycApxkVLq0xYVN7LIxMF2zUYqIiAAKcCJSwP4YDzt32eWSJeCG64LbHgldHdprNkoREZGTKcCJSIFJTTUM/8Z/IX7rLRYxMep9k6xpGKWIiEhmCnAiUmBGj4W9++xymdJwTa+gNkdCXOlSFk0v9NenaTZKERERBTgRKRgpKYZvv/P3oNx2q0V0tHrf5NS0qLeIiEhGCnAiUiB++RUOJNrl8uWg55XBbY+Eh7ZtwHn8L9XyFbBnj0KciIgUbQpwIpLvEg8avvvBf+F95+0WUVHqfZPTK1XKomlTf326hlGKiEgRpwAnIvlu+DeGY8fscvVzoEf34LZHwosW9RYREfFTgBORfLV1m+G3Uf76ffdYuFzqfZOcuzRgGOWKlbBbwyhFRKQIU4ATkXw1aLDB47HLjRtBm9bBbY+En1KlLJo189c1jFJERIoyBTgRyTfLVximz/TX77/PwrLU+yZnLsMwymnqgRMRkaJLAU5E8oUxhk8/919od+oI9c9XeJOzc2kbcDrt8spVsGu3QpyIiBRNCnASVM4N04ma8jLODdOD3RTJYzNm2vcrAUREwD39FN7k7JUsadFMs1GKiIgowElwudZNgpQj9v9LoZGaavh8kL+H5JqroUplBTjJncBFvTWMUkREiioFOAkud2rG/5dC4bsfDNt32OXixeHO2xTeJPfaBgyjXLUadu1SiBMRkaJHAU5E8tSWLYbvfvDX7+1nUaKEApzkXokSFhcFzEY5TcMoRUSkCFKAE5E8Y4zh7fcM6el2vf75cNWVwW2TFC4ZhlFqUW8RESmCFOBEJM/8MR6WLLXLTgc8/qiFw6HeN8k7l7YBl8sur14NO3cqxImISNGiACcieeLAgYzLBtx0I9Q5T+FN8laJOIuLL/LXNYxSRESKGgU4EckTH31qOHLELlepAr3vVHiT/NGhnf+/rWkaRikiIkWMApyI5NqcuYbJU/z1xx+xiI5WgJP80SZwGOUa2KFhlCIiUoQowIlIrhw6ZHjzHf8F9BWXw8UXKbxJ/ikRZ3FJ4DDK6UFrioiISIFTgBORXPnvB4b9++1ymdLw4ACFN8l/HbSot4iIFFEKcCJy1iZNMUyZ5q8/+bhFqVIKcJL/2rTyD6NMWAvbdyjEiYhI0aAAJyJnZe9ew3vv+y+ar+wOrVspvEnBiIuzuORif13DKEVEpKhQgBORM+Z2G15+zXD0qF2vXBkevF/hTQqWFvUWEZGiSAFORM7YkK+Mb8FuhwOee9oiJkYBTgpWm1YQEWGX166F7dsV4kREpPBTgBORMzJrtuG7H/z1Pr0tGjdSeJOCV7x4xmGUU6cHrSkiIiIFRgFORHJs1y7DawP9vRyXXAy33xrEBkmR17G9FvUWEZGiRQFORHIkOdnw9HOGI0fsevly8MKzFg6Het8keNq0hsgTwyjXwbZtCnEiIlK4KcCJyGkZY3jjLcO6f+260wmvvKQlAyT4YmMtLrnEX582I3htERERKQgKcCJyWt98l3Ga9kcesmh4gcKbhIbAYZRa1FtERAo7BTgROaW/Zxm+HOq/KL66F/S8UuFNQkfrVv5hlOv+ha0aRikiIoWYApyIZGvDRnu9txMubAL/eUDhTUJLbKxF88BhlNOD1hQREZF8pwAnIlk6dMjw1LOG5GS7XrkSvPqShculACehp0MHDaMUEZGiQQFORDJxuw0vvGzYscOuF4uGga9r0hIJXW0ChlH+ux62bFGIExGRwkkBTkQy+eRzw8JF/vpzz1qcV1vhTUJXTIxFixb+uhb1FhGRwkoBTkQyGDvO8L9f/fW777Jod6nCm4S+DoGLes9QD5yIiBROCnAi4rNsueHd//ovfNu3hbvuCGKDRM5A65YQGWmX16+HzZsV4kREpPBRgBMRAHbvMTz3gsHttuu1a8MzT1k4HOp9k/AQE2PRMmAYpRb1FhGRwkgBTkRISzM896LhQKJdL1US3nzNIiZG4U3Cixb1FhGRwk4BTkT4+DPD6tV22emEV1+2qFxZ4U3CT8sW/mGUGzbCJg2jFBGRQkYBTqSI+3Oi4bff/fX777W4sInCm4SnmBiLVoHDKKcHrSkiIiL5QgFOpAjbsMHw9nv+HooO7eH664LWHJE8oUW9RUSkMFOAEymiUlMNL75iSE2169XPgaefsLAs9b5JeGvVAqKi7PLGTbBxk0KciIgUHgpwIkXU4KGGjZvscnQ0vPaKJi2RwqFYsZNmo5wetKaIiIjkOQU4kSJo0WLDiJ/99Qfus6hVU+FNCo+OgcMop6sHTkRECg8FOJEi5uhRw2sD/Re0LZpDz6uC2CCRfNCyud2zDLBpE2zYqBAnIiKFgwKcSBHz0SeGPXvscokS8JTue5NCKPMwSgU4EREpHBTgRIqQ+QsM4yb46088alGurMKbFE6Bi3pPmw7GKMSJiEj4U4ATKSKSkzMuGdCxA7Rvp/AmhVfLFgHDKDfD+g3BbY+IiEheUIATKSKGDjPs3GmX4+LgoQcV3qRwi462aN3KX580WT1wIiIS/hTgRIqANWsMP//PX/+/+y3KlFGAk8Lvss7+/84nTQGvVyFORETCmwKcSCHn9Rre+a/B67XrFzWDLlcEt00iBaX5xfZkPQB79sCy5cFtj4iISG4pwIkUcn9OgoS1djkyEh5/VLNOStEREWHRsb2/PlHDKEVEJMwpwIkUYsnJhkFf+i9Yb74RqlZReJOiJXAY5bTpkJ6uECciIuHLFewGiIS01CM4t/6Dc9cyHHvX4Di4FStpH6QngyMCExWHt2xtPFWb4a7fC1Oyat6e3xisg5tx7lqBY/dynLuW49izGsudkunQo4+szrTth58M+/bZ5bJl4dabLRy7VhCx+Buc2xbYr8UZibdUdTy1OpB24e1QrNSp25R0gNivu2GlHMJYTpJvGYG3YoM8eLFB4k7DlTAO1/qpOPauwUraD4CJKYu3fDzu2h1xx3cHV2TenjftGI7dK+33dPcK+/8Pb898WIv7SWv1wNmfxxiK/Xw7zu0LM+3ylqhCUt8pZ//cQWIlbiZi5Uic2xdiJW7CSj0MrmhMTDk8VS7EXacznlodfMc3vAAqVYRdu+HIEZj3D7Qv9RvRfz4DwIk4V/wM23Gsz+Q8+8w79qzGtep3nNsX2f8dpB6FyBi8seXxVLsYd90ueM+55PRPlJ5MxLIRuNZOwHFgA6SnYIqVwlu5MemNb8ZTo9VpnyJy1gdEzhsEgLt2J1J6fpLblyciInlIAU4kGxHzhxI56wMsrzvrA7xuLHcyjmN7cG2ZQ+Tcz0lvegdpbR4GZ0TetGHe50TN/visHrtnj+GHn/z1/n0tSq75lsgZb2EZr3+HJx3nntU496zGtWIkydcOwZStne3zRs14EyvlEADpTW4J6/Dm3DKXqEkv4ji0JdM+61ASjkNbcf07Ge/cL0i97BU81Zvn2bljP70k4/uQTyIWf5dleAtL6clEzXgL17KfsTipF82TjpV6BEfiRiJWjsRTpSkpV7yBKV0Dh8Piss6Gb7+3D5042dD+uoJvfpaSE4me/BKudRMz70s5hDPlEM79/xK59EfctdqTevlrmJiyWT6VdWwv0f+7G+f+fzNtd/w7Gde/k0lr1pu0dk9k2xxr/3oiFnwFgImIIbXjs2f/2kREJF9oCKVINqyju7MPb1kdbzxELhxG9NiHIY8WDLa8Z3+B/+VQQ2qqXa5bB3o0WEDk9Dd9ocFdow1JN3xLSvf3MNElAXAc3UWxMf8H2bxu55Y5RKweA4C3eEXSWv/nrNsXbM71U4n+rX+W4e1kjkNbiP6tP871U/Ps/AUR3qyDW4mc9UG+n6dApKdQ7Ne+RCwbkTm8ZcG5YxHFfr4N63iYCRxG+fcsSE3Ng89obkcjJx0g5qdbsw5vWXBtmE6xEbdjHd2T5f6o8U/4wptxRZPS+WWSbvqB9POv9B0TuXAYruOf4UyMIXryS1iedADSWj2Iiat8Bi9IREQKggKcyBkw0SXxlD0PE10q22Nc66fgWvFr/rXBefqhfFu2GP6c5K8/MMAiavFw34WviYwl5coP8Fa7CHd8N1LbPu471nFgA84NMzI/qTuNqMkv+6qpHZ6ByNizfyEF4fiF6Mmsw9uJHve470I1kLfkOXhLVc/8GE+a/ZjDO/K8mQDG4cJYzjx8QkPUxOew0pPy7jlzI5v3IqciZ76Nc8eiTNuNw4W3VA28WfRKOY7ts39Q8aRRq6ZF7eMdy2lpsHx9aTwVG+Cp2AAqN4LKjXz1k/9nsuhR95Y+FxNXJVevKfrPp3Ekbsz8mpyReMvU8v2wkuE1JW4k6s+nM2/fuwbXlrm+etrFfXE3ugFvlQtJ7fIm3hL+oZ4RC4Zl2R7XypE4ty8AwFPhfNIvvP2MX5OIiOQ/DaEUOQ1vTFncDW+w70EpX9e33bF7JVGTX8S5e2Wmx0Qs+wl3w9yP0TKRsbirXYK30gV4KjXEW7Ehzm3/+O7dyc7X3/iXDWh+CTS90MIxd7Fvv6dykwzhy3PupRke79yxGM95nTJsi5z3BY6DmwFw1+qAp87luXhl+Sj1CK61E4hYNQp39Zakt7w/0yFR09/MFGxMdCmSe32Gt8qFADh2LKHY7/dhpRz0HWOlJxE1/U1Srvoo1830lj4XT8WG/ve2/PnEDO+eZwHRtfRHXNv+8dWNMyLLwJqfrMPbca0aTcTq0aR2fhlPTu7hyup5juwmYtnPmba7q7cgpdt7EFMGAOemv4ke/X9Y7mTfMc79/xKxcDjpl/Tj8s4Wn6+3f8QYPq8dTd6175OLi4sDIPnIkcznTtxIzLDumbanNb0DcjGbq2PHElwbZ2banl6vB6mdX/J9Pl2rfidqwjMZeh1dm2fjWvMH7nr+djm2Zwy3Ge51sxx4arTCsfwX+9i9a+z7eCOK+Y9JTiRq5rsAGMtBaueXwZGHPyiIiEieUYATyU5UHKmXPkr6hXdkOYGFt2IDkq/9ipivu+E4PvHFCY7dq8CTBjnoLTuV9It6k35R74wbt536MZs3GyYHjPS7+y77ItNKPezbdnIPojlp4pLAYwGsAxuJWDDEPjYihtSOz52+8QXJ68a56W9cq0bhWj8Ny2OPHfWc0yLTodaR3TjXT8u0PbXNw77wBuCt0oTUNg8RPfmlDMc510/FOroHU7xCrpqc1Ht8rh5/Ktbh7UT99Z6v7o0th7tOFyKXfJdv5/RJPWoH6NWjcWxbkKPhjqfj3Dgdy3gyn+ry13zhDcBzbhvSL7yVyPlDMhwXsewn0i/uQ+dOFl8Mtkc4L1wE+/cbypY9dQiLXPRNptdgokvhrt/r7F8Q4MpiOK6JLJ4hvAG46/fCuXEmEQkZ/3uJWPpjhgB38mf25M+0KVbafywGK/UIJiDARc14y/djRXrjm/FWanimL0lERAqIhlCKZCOt1YOkX9z31LMPRpfAc17nTJstjG+ij4I2LKD3rUVzaFDfvkA1USV8xwT2KgFYyRnrJw/dip78ov++mJb3Y0rkbuhYXnHsXknktDeIGdyeYr/fR8TaCb7wlh3XugmZwoCxHLjju2U61h3fDXPSjU6W8eBam3/hKy9ETXw+Qw9jaqcXIYvheHnG68G5YQZRfzxK7KBLiZ70PM5t8/MkvAE4EjdlPmVMOUyJzDNAeio1yvz4wztw7FxKxQoWjY/v9nphyuluaUw+iGvlqEyb0xvfmLH36ixk+ZrK1MpyWLI3i9fk3L4ww71wgZ9vyPyZtpIT/cdiYaLi/M+1ZR4Rq+zX6Y0tT1rrh3LyEkREJEjUAyeSSyaLCy7jcGX4xbugbNxkMlyUnuh9A/BWuRDHenvKeOeOxZB2zHex6Nw8K8PzeAJ6olwrf8O5bb69vXw90pvekV/NzxHryG5cq0fjWj0602x7gbwxZfGUOy/TdsfOZZm2mVLVISqLSeSj4jCla2CddLHt2LXijNtdUFzLfsa1ZY6vnh7fHc95nXHuWZPn53LsWYVr1Whca/7AkbQv2+O8ZWrhjS1/1uex0nJ/H59z1wq8VS7k8sssliy1g+XEyYYbrs++By5i+c8ZhmOCPRQ1vcmtuW4PeXBvomP3CjzFOwLgrdo0wz7XplmknfgcG4Mz4L8Jb4V6/gDqTiNqyku+fakdnsn6syAiIiFDAU4klxxZ3APnLR8PjoL/eA3/1vgmwGzZAuqf7784TWt2lz38D4OVnkT0mIdIa34PjmN7iZr5ju84b5laeGq2syvJiUTNeBs4cV/MS0F5XaQdw/XvJFyrRuHc+k+2MziayOK4z+uMu153PNVbZnkPj3NvQqZt3lPMtOctXilTb4ljb96HobxgHdmZ8b2MKZfn08BbR3bjWjPWfi/2r8v2OG9cZdzxXXHX64G3wvm5OqcJGCZ5giNpH9aRnZlmSXTuzjpcO463tX07eP9DSE+HNQmwZauhQf0sHuBJJ2Lx95k2u+v1wOQijJ6Q5WtK3JjhhxXf9mx+MHDsW4en9vEAV74e7uotfBOZRCwYird4Bbzl6hKx7Ccch/xjr9Ob+YdlR/4z2Pfft7tmWzx1u+TqdYmISP5TgBPJBce2+Ti3/pNpe3qjmwq8LTt3GqYG3NoV2PsG4K12EWntnyRyxttYxotr89+4Nv+d8ZjilUi+8iNf8Ima+Y5vuKW70Q14KzfO19eQgfHi3DLHvq/t3ynZzqZonFF4arWze5pqtQNX1KmfN2Aome85TjG88OR7iSDz8LRQETXpRay0o756aqcXIC96gtOTcK2bZPd6bpmbfYAuVhp33StIj++Ot2qzXE3yEchT9aIst0dNfJ6Ubu/4XqNz8ywiFmd9n9+JIc0l4ixaNDf8dfw//UmTsw5wroTxOI5lnq4/veldZ/4CsuCpepFvSQ5fG1OPEDXlFVI7vwgRMXY7Vo/JdsjuycO0U7u+jfW/3jj3r8dypxA9+cVMj0lrdhfu48sKWIkbiZj/JQDGVYzUji/k+nWJiEj+U4ATOUvWwS1E//FYpvt8PJUa4W7Qq8Db87+R/nvfLmoG59fLfPGc3vROPFWaErHoW5zbF2Ad2wfOCLylauCp3YG0C2+H44HFsfUfIlb+BtiTYKS2ecR+EncqEctG2Be4B9aDOwUTUw5PtYtIb3YX3gpZdWecgeREIucPwbV6bJYX0ADGcuKp3gJ3vR64z+t8RkO+rLTMMw2ecrKZLKaQP3nCiFDgWjES16a/fPX0+G546lyWq+d07F1LxMKvcK2blH2AjozFXbuT3etZo1W+9NB6qrfAU7Y2zv3rM2x3bZ5F7KB2mJJVIe0ojmPZD+MkINhe3tnir7/tz+2kyfCfBw3WSWEzYtHwTE/hrt4yw0y0ueGO74Z31oc4kg9kPO/q0bjW/okpWQ0raX+m+1UDBYZ1ABNbnuRbfiFi6U+41k7AcWCD/fksVgpvpcakN7kZT43WvuOjJr+C5UkDIK3Fffa/I+DYs5qIRcPt3u6kfeCMwlu2Nu66XUhvfPPpfyQREZF8pQAnchYce9fai0CfFDC8cZVJuerjoAwzHPOHv3zjDdn3fHgrNSS129unfjJPGtFT/Gu+pbV7CqLiIDmRYiP7ZVo6wTqyE8fqMbjWjCO143O4G599D6Rz3zoiF3yVabvBwlulCe563XHX7YLJYt2vs3eKyTbyZh6OfGUd2U3UjLd8dW9M2TyZKdS1bqJvcotAxhmJp2Zb0ut1x1OzPURE5/pcp+Rwknr5GxT75a5M96RZ3vRM9yhmyekPHa1aQkwMJCXBtu2wfIWHRg39n1nH1n9w7lmV6SkChx7mWlRxUi9/1V724KRJdSxPKtaB9dk80M84swhSEcWynr32JK5Vv+Paag+39JStQ3qzu+zty34mauqrWF63/2BPOs6dS3HuXIpr9WiSrxmSYfZPEREpWJqFUuQMObfMo9jPt+E4ujvDdm/xSiRf/3Wup5c/W0nHO0jOrQHNL87dc0XMH2L/eg+4a7TxTVcePf7JDOHNXaM1aU1u9S2ibBkPUVNfxbFjceYnzQVviSok3zCc5Jt+IL3JrbkKbyYyLvPGU6yPdqKHIsNznDTjX7BFTX4xQ69gasc8GjqZBU+1i0nqPZ6Uqz6275fK7/B2nLdyI5KvG4r3NDOgmshYvCXPybw9YJhsVJRFh/b+faPHZHz/I7PoffOUrY2n5qWZtueGp3ZHUq76ONOyHifzxpTNehKYs51ZNPkgkTPseyUNFqmXvQzOCBw7FhM15RVfePPGlCWtya24a7TxPdS5ZzXRE546u/OKiEieUIATOQOuNX8Q/Vs/rNSMw/C8pc8l+abv7NkMg+zG6y0cjrO/98hK3ETkvMEAGFe0fR8V9kQKGYfodSXl2iGkdXyOlGu/8k23bxkvkfMG5eIVZOY4vINiP99JsZ9uIWLx9/bQz7OVRbA51TA1stiX1X1xweLYtw7Xxhm+enrdLnjq5t8i685t84kZ1pXoUQ/gShhvLwhdQLxVLiTprnGkdH4Zd822eGPLY5wRmIgYPOXrkXbJPSTdNS7LSWlOXvqiWxf/Z2TCn2mkptpdrVbiJpwbpmd6fHrTO/P2xRznqd2BY30mktruSdzntMAbUxbjiMBEFsdTqRGpbR4m6a5xWQ7zPV2YzU7UzHd8QzfdDa/3rX8YOW+QrzfQWA6Sr//6+Of7S9x1rvA93rXpr5CeiVVEpLDTEEqRHIpY8BWRM9/N8p635F6fh8SQolKl4PLc3fZk/wJ/fC21tOb3YkrZvRnOLbMzHOducK2v7C1fF2/lRjh3LrWP3foPeD1ZzgJ5Op5ydUlrfi+u1WNwHN7u225hcO5YjHPHYiKnD8RTvTnu+G64z7sMonPeI+YpH2/fuxfAcXhntsc7jmTe5y1fL8fny3eBQ92AiLUTiPjvhBw91HF4B8X/a88QaaLiOHZ/xgl50uO7Yh3bg2vtnxl6+CxPGq71U3Ctn4KJiDl+D1w3+/6qLO4ZzFOuKNyNbsDd6Ias97tTce7KvFSEp0rGafYbNYQqVWDHDjhyFKbNSKd1S4hY9G2mSVq8MWVxn39Vnr2ETKLiSG92l28Y48msw9szfBZO8FS9MIujT82xbQGuE/e2xpQj9dLj97Z6PTi3zvMd563UCFPWvwxHesPrcK3701d3bpmNt9IFZ3x+ERHJPfXAiZyO8RI57Q17RsaTwpu7dkeSr/86JMIbwNU97eFhZ8u1arRvDTFP2dqkX3S3b5/j8I4Mx3pLZOzlCOz1sNzJp+7VOpVipUhr/R+S+kwi6YZvSL/g2gyLDsPxxbQ3zyZ64nPEDmpzvDdoXI56g7yVMy+KbB3aCqlZTG6Schjr4NbMz1GpYc5fTxgzZWuTetkrHLvnL1K6/xd3rfaYk+7vtNKTiFgzhmK/30fsoEuJmvQCzi3zIJuZKvOba9UoLHdKhm3GVQxPlSYZtlmWlaEXbvSYdEg5RMSq3zM9Z7An7ohY9kumbd64ypjSNc/siTz2mm8nvsfS2j3pG4ZpJSdm+Hc71ecbsv5hQ0RECoZ64EROxZ1K9PgncK2bmGlXeuObSO3w3Bn1MlmHthM7tHOm7cf6TIa43PXqRETANb1yMW17yiEiZx5f8w2L1M4vZ+xNOWmWPsudmiHOnnyv2IkhlWfNsvBWu5jUaheT2vF5u8dn1Sicm2dnmGDB8qSf1BvU8XhvUJsse4PcdboQOeOdDBNHWMaLK2Ec7kY3ZjjWtXZ8ptBuLCfuLNbKMr8/DEt/IXA+zPT6vUjtMvAs/wFCiCvSXtMtviskHSBizR+4Vo/KPJlNyiEilv9CxPJf8MaWP/6Y7lmG5jNmvGCd+jdH6+BWov5+P9P29Aa9Mq2tBtDlchhyfL6cOXPdpM35meInzbZpnFF2gMuhyNmfEDn30wzbPNUuJvmGbzIfnIPX5Ni5jIiFwzJtP5vFxCMWfOWbydNdvSXu83v4d2b6fGf8PJ/olT8h159vERE5awpwItlJOUSxUffj3L4ww2aDRVqbh0i/pH+QGpa1ju2hdOmzv6iKmvkujqT9ALgvuMZexyuANy7j/TaOfQn+BZqNwbHPv6iziYjxLUeQJ1xR9nDJ+G5YSfuPLyQ9OtNMgXZv0Fgi1ozFRJUktdPzvglYfG2Lq4indgdc/07OsD3q7w/wlqvrux/IsWMxUX9/kKkpnvM6BW2imqyYiGg8FRuc9jjr6B4cx/ZmfKwzAm+5usefJ3PAyVJMGdKb3k5609ux9q8nYtUoXGvGZuqRcRzbS+Sib4hc9A3ekueQ3OtzTNnaOTtHFhz7/yXqz2dIv+A6PLU7ZnwP0lNwrfuTyIB1C32vMSKG9Iv6ZPmclSpZNGtqWLgIHCadyKU/ZDrGXf+qfOthd26cScSCYbgvuAZ3zbYZ789MPUrEqt+J/Pv9TD+OeItXJD27IaTZsA5uIXLuF4AdSlM7ZVwjzkSXwkTE+JaLcOxbm2H/yfWT7ykUEZGCowAnko2ov97LFN4AiCiGa93ELHvlAqV2fhlvDi6sT8W5YRqRczL+mp/dItLPV7yBYt/76ya2Aim9PsvReRzbF+Fa8SsA3mJlSL30sUzHeM5tDX//11ePmD8Ez7mXYmLK4lr6I45D/qGGnuotT9uzcLZMTFnSm95JetM77Qk8TgSIk2YFtVIP4TiwMcvnSG3/lN2TF9DbYqUcJOanW/CWrA4WOA5uyXzuiBhS2z2ZJ68j+vcBWCctQ2GdFLAAXMt/xrlxeoZtaS3vx1Org92m0jVJvvV/pz1fVj1DJrZ8jh6bHVO2NmmXPkJam4dwbp1nD8FdNzHTmnGOQ1txJO3Hk4sAB+DcvdLu9ZvyMt6YcpiYslieNKzD27OcLRQgtdPzvvXNstK1i8XCRYbLq/xJce+ujK8Pi7R8mrzkxBlc2/7Btc2+99BbvBKmWCms9CSsQ9szLS8A9uQiqV3ftpf1OANRU14OuLe1P6Z0jYwHOOy1FV3rp9rVQ1uJWPK93dOXnEjE/CEZDvfUaHVG5xcRkbyjACeSnWymlrfSkzINHcvyuLRjuW6ClXwwR+cCKH54JQSsL+0tkZizk3jS7WnofffFPJFl75m3Qn3cNdv5Zjx07l9PzOAOmKi4DIsRG8tJ2iX9cnbuXPKWq0Na28dIu/QRnFvm2mHu38nZLjrta2OJqqR0fZvoPx7GOul9dhzKHNzA7q1K6fZOnvU8OPYlZLqvMMvjju2Fk4JddiE+aCwHnuot8VRvSWqnF3Ctm4Rr9WicW+ZmGULygiNpHyRlPxupsRyktXsCd/1ep3yedpfCf2Pg1tqZhzh6al6aq17DM+U4uguO7sp2v3FGktL1LTznXHJGz+taPRbXZnsSIm+ZWqRf3DfL49Iu7odzwwzfexY19TUi5nyGlXoEy+v/nLhrtcdbof4ZtUFERPKOApxIERexcBjO/f8C4D6nOe76PbM9NqXLQIr92tc3dNHypmOdFN5SO72At3Lj/G30ySwHnhqt8NRoRWp6kh0gVo3COLLvBfSc14mUqwcRNenFDL2HWfGWPIfUy17BU71FXre88Ikohrv+VbjrX4V1dA+u1WNwrR5doE3wlqlFaruncrRuW7FiFv06L6YBmX8oyW5WyGDwVGpEaodnzvyzlXKYyIBF3lM6vZjlkgQA3ipNSO30gj0T7fEQF/jjDICnQn1SrnjjzNogIiJ5SgFOpAizDm0jcu7ngP3rfmrnF0/9gGKlSb7pByKWjcCVMA7H/vXgTsXElMVzzsWkN7sr+L/MR8Tgrt/TDqLeU/f+eKq3JOnOsbgS/sC1fiqOPauxkuwLVhNTBm/5escnRekBrqwveiV7pngF0i/uQ/rFfU77XpyOt0xtkm78DueWuTi3L8RxdLf9XqUdhag4e7Hryk1w12yLp3bHM5pc6OpKw+Gkji9P+Xr2UOB85KnemuRrh+LcOg/njsVYR/fYvavpSZjoEpjY8niqXoSndnt7iYazEPX3f+3eSiC9wdV4T9N75250A95KDYlY+DXObfPtNRddkXjL1MZdrxvpjW4K6oycIiICljHm9EdlITEx8eweKPkqLs6+L+LIkSymRA9BUX/477VK7f5uEFsSfGfy3j33opfpx9duvroXPPqQVgQJtnD77Ilf8eLF6dHzKNu220sfvPS8RedOmmUxXOizF970/oUvvXe5V/osZ5/TVZ9ImEk8aPjrb3/96qt0oSmSG5ZlcdWV/iUn/hiv3ydFRCR0KcCJhJlJk8BzfDTaBQ2gVi0FOJHcurJHpG8ptPkLYMdOhTgREQlNCnAiYcQYwx8T/BeW3boqvInkhSqVHVxysb8+9g8FOBERCU0KcCJhZO06WL/eLkdF2Yt3i0jeuKqH/weRP8aD260QJyIioUcBTiSMjAu4N6fdpVC8uHrgRPJK61ZQprRd3r8f5swNbntERESyogAnEibS0gyTpvjrGj4pkrdcLotuXf31MWPVAyciIqFHAU4kTMyaDYcP2+VKFaHphcFtj0hhdGV3/w8jc/+B3XsU4kREJLQowImEiXEBk5d07QIOh3rgRPJa1aoWzZraZa8X/hgX3PaIiIicTAFOJAwkJhr++cdf73KFwptIfrnqSv/na+w4g8ejXjgREQkdCnAiYWDaDPB47XKjhlC1igKcSH65tDWUKmmX9+yBf+YHtz0iIiKBFOBEwsDkKf4egM6dFN5E8lNkpEXXLv766DHqgRMRkdChACcS4nbtNixbbpedDujQLrjtESkKAiczmT0H9u1TiBMRkdCgACcS4qZO85ebNYPSpdUDJ5Lfqle3aNLYLnu8MEq9cCIiEiIU4ERC3OSpAcMnOyq8iRSUq3v6P2+jx0B6ukKciIgEnwKcSAjbstWwdq1djoiAS9sEtz0iRUm7tlCunF3efwCmzwxue0REREABTiSkTZ7iL7doDnFx6oETKSgul0Wvq/yfuV9HqgdORESCTwFOJEQZY5gyVbNPigTTld3B5bLLK1bCmgSFOBERCS4FOJEQ9e+/sHmLXS4WDa1bBrc9IkVR2bIWHdv76+qFExGRYFOAEwlRkwJ639q0geho9cCJBMO11/g/e1OmQuJBhTgREQkeBTiREGQPn/TXNfukSPA0qG9xfj27nJYOY8YGtz0iIlK0KcCJhKAVK2H3brscFweXXBzc9ogUdYG9cL+PMrjd6oUTEZHgUIATCUFTp/kvDtu3g4gI9cCJBFPH9lC6tF3esxf+nhXU5oiISBGmACcSYowxzPjLX+/YXuFNJNgiIy2u6uGv//KreuBERCQ4FOBEQszqNbBnj12Oi4MLmwS1OSJyXK+rLJxOu7x0GaxYqRAnIiIFTwFOJMTMmOm/KLy0tb2YsIgEX/nyFpd39te//1EBTkRECp4CnEgIMcYwY6a/3ratwptIKLnlZv9n8q+/YdNmhTgRESlYCnAiIeTff71s226XixWDi5sFtz0iklHNcy3atPbXf1AvnIiIFDAFOJEQMnlquq/cqgVERakHTiTU3BrQC/fnJNi9RyFOREQKjgKcSAiZPMUf4Nq1U3gTCUUNL7Bo3Mguezzw8y8KcCIiUnAU4ERCxKbNHv5d7wUgMhJaXBLkBolItgJ74UaPgUOHFOJERKRgKMCJhIgpAcMnm18MMTHqgRMJVS1bQK2adjk5BUb+HtTmiIhIEaIAJxIipkxz+8qafVIktFmWxW23+D+n//vVkJysXjgREcl/CnAiIWDXbsPKlR4AnE5o3SrIDRKR0+rYASpVtMuHDsPoscFtj4iIFA0KcCIhYGbA2m/NmkKJOPXAiYQ6l8vi5pv8n9UffjSkpqoXTkRE8pcCnEgImPGX/6KvnYZPioSNHt2gXDm7vP8AjBod3PaIiEjhpwAnEmSJiYZly+2yZcGlrU99vIiEjqgoi9sD7oX7Xr1wIiKSzxTgRIJs9lwwx6/3mjR2UqaMeuBEwkmP7uqFExGRgqMAJxJks2YHDp+MCGJLRORsqBdOREQKkgKcSBClphrmz/fX27d1Ba8xInLWenSH8uqFExGRAqAAJxJEi5bYiwADVD/Hwbnn6iMpEo6ioixuu1W9cCIikv90tSgSRIHDJ9u2dWFZuv9NJFz16KZeOBERyX8KcCJBYoxh9mx/vb3ufxMJayf3wn33gyE5Wb1wIiKStxTgRIJk3b+wZ69dLl7cnoFSRMJbj25QobxdPpAIv/wa3PaIiEjhowAnEiSzAnrfWjSHiAgNnxQJd1FRFr3vzHgv3KFD6oUTEZG8owAnEiSB97+1aaXwJlJYdO0C1c+xy8eO2UMpRURE8ooCnEgQ7NtnWJNgl51OaH5JcNsjInnH5bLo39f/o8yvI2HPHoU4ERHJGwpwIkEwa46/3LgRxMWpB06kMGnXFs6vZ5fT0uGrrxXgREQkbyjAiQRB4PDJ1ho+KVLoWJbFvf39n+1xE2DzZoU4ERHJPQU4kQKWkmJYsNBfb9MqeG0RkfzTrKnFxRfZZa8XvhyqACciIrmnACdSwBYshLQ0u3xuDahaVT1wIoXVPf38n+/pM2HVaoU4ERHJHQU4kQIWOHyylXrfRAq1evEWHTv4659+bjBGIU5ERM6eApxIAfJ6DbMDJjDR8gEihV+/PhZOp11eugz++ju47RERkfCmACdSgNYkwP4DdrlUSWhQP7jtEZH8d041i6t7+eufDTKkp6sXTkREzo4CnEgBChw+2aIFOJ3qgRMpCnrfYVE81i5v2wajxgS3PSIiEr4U4EQK0KzZ/rKGT4oUHSVLWtxxu/8zP+xrw5Ej6oUTEZEzpwAnUkB27Tb8u94uR0TAJRcHtz0iUrCuuwYqV7LLhw7Dt98rwImIyJlTgBMpIIG9bxc2gZgY9cCJFCWRkRkX9/7lV9ixUyFORETOjAKcSAEJvP+ttYZPihRJHTtA/fPtcno6DBqsACciImdGAU6kACQlGRYv8ddbtwxaU0QkiCzL4oEB/h9wpkyD5SsU4kREJOcU4EQKwD/z7V/bAWrXhkqV1AMnUlQ1amjRvp2//tGnBq9XIU5ERHJGAU6kAAQOn2zTKogNEZGQcN89FhERdnn1apg8JbjtERGR8KEAJ5LPPB7DnLn+uu5/E5GqVSxuuM5f/3yQITlZvXAiInJ6CnAi+WzlKjh4yC6XLQP14oPbHhEJDXfcZlG6tF3euw9+HBHc9oiISHhQgBPJZ4HDJ1u1BIdDPXAiArGxFv36+L8PfvjJsGePeuFEROTUFOBE8tmsOf6yhk+KSKDuXe2JjQBSUmDQEAU4ERE5NQU4kXy0fbth0ya7HBkJFzULanNEJMQ4nRb/ecD/w86fE2HVaoU4ERHJngKcSD6aNdtfvqgZREerB05EMmp6ocWlrf31jz81GKMQJyIiWVOAE8lHs+b4L8I0fFJEsjPgPguXyy4vXwFTpwW3PSIiEroU4ETyyZEjhiVL/fXWLYPXFhEJbedUs7juGn/9s0GG1FT1womISGYKcCL5ZN4/4PHY5XrxUK6ceuBEJHt33m5RqqRd3r0bRvwS3PaIiEhoUoATyScaPikiZyIuzqLP3f7vim+/M+zbr144ERHJSAFOJB+43YY5c/311q2C1xYRCR9Xdoea59rl5BQYrGUFRETkJApwIvlg2XI4etQuVygPdc4LbntEJDy4XBYP3u/vhRs/ARLWKsSJiIifApxIPggcPtmqFViWhlCKSM5ccrFFqxZ22RgtKyAiIhkpwInkg8D133T/m4icqfvvs3A67fKSpfD3rOC2R0REQocCnEge27LFsG2bXS4WDU2bBLU5IhKGatSwuLqnv/75IIPbrV44ERFRgBPJc38H9L5ddBFERakHTkTO3J13WMTG2uUtW2HsuOC2R0REQoMCnEge+3uW/1fyS1srvInI2SldyuK2W/zfIV8NMyQlqRdORKSoU4ATyUMHDxpWrLTLlgUtWwa3PSIS3q6/FsqXs8sHEuHHEQpwIiJFnQKcSB6aMw+8Xrt8QQP7F3QRkbMVHW3Rr4//e+SnEWhxbxGRIk4BTiQPzQoYPqnZJ0UkL1xxOdSuZZeTU2DY1wpwIiJFmQKcSB5JTTXM+8dfb9M6eG0RkcLD6bS47x7/D0Jj/4BNmxXiRESKKgU4kTyyeIn96zhAtapQo3pQmyMihUjzS6BZU7vs8cKgwQpwIiJFlQKcSB6ZNSdg+GRrsCwNoRSRvGFZFgPu9X+n/DULli5TiBMRKYoU4ETygDGGWbP89dYtFd5EJG/F17W44jJ//dPPDcYoxImIFDUKcCJ5YN2/sGevXY6Lg0YNg9seESmc+vWxiIiwy6tWw7QZwW2PiIgUPAU4kTzwd0DvW8vm4HKpB05E8l6lShbXXeOvDxpsSE9XL5yISFGiACeSB2bNDrz/TeFNRPLP7bdZxMXZ5e07YNSY4LZHREQKlgKcSC7t2WNIWGuXXS5ofnFw2yMihVuJOIs7bvP/UPT1cMPRo+qFExEpKhTgRHJp9hx/uUljKF5cPXAikr+u6QWVKtrlg4fg+58U4EREigoFOJFc+jtg+GQbDZ8UkQIQFWXRv5//+2bEz/ZoABERKfwU4ERyISnJsHCRv966ZfDaIiJFS+eOULeuXU5Lg6FfK8CJiBQFCnAiuTB/IaSn2+XataFyZfXAiUjBcDgs7g9Y3HvceFi/QSFORKSwU4ATyYVZswJmn1Tvm4gUsGZNLVo0t8vGwBeDFeBERAo7BTiRs+TxmAwTmOj+NxEJhvvusbCOf/3MmQvLVyjEiYgUZgpwImdp5Sp79jeAsmWgXnxw2yMiRVPtWhaXd/bXB31pMEYhTkSksFKAEzlLM//yXyC1amXfjyIiEgx332XhdNrlJUthwcLgtkdERPKPApzIWTDGMPNvf73tpQpvIhI8Vata9Ojmr6sXTkSk8FKAEzkL6zfAjh12OSYGml0Y3PaIiNx1h0VkhF1ekwB//X3q40VEJDwpwImchZl/+cstW0BkpHrgRCS4ype3uPpqf/3LoQaPR71wIiKFjQKcyFkIvP9NwydFJFTcdotFsWJ2eeMmmDI1qM0REZF8oAAncoZ27DT8u94uR0ZAy+bBbY+IyAmlS1nceL2/PmSYwe1WL5yISGGiACdyhgKHT17UDGJi1AMnIqHjphss4uLs8o4d8Mf44LZHRETylgKcyBnS8EkRCWXFi1vcerP/u+nr4YbUVPXCiYgUFgpwImfgwAHD8hV22eGA1q2D2x4RkaxcezWULWOX9+6D30cHtz0iIpJ3FOBEzsDfs+HE0kqNGtr3m4iIhJpixSzuuM3//fTtd4akJPXCiYgUBgpwImcgw/DJNgpvIhK6ruwBlSra5YOH4Of/Bbc9IiKSNxTgRHLo2DHDwkX++qVtgtcWEZHTiYy06H2X/4emH0cYDh9WL5yISLhTgBPJoTlzIT3dLtc5DypXVg+ciIS2Ky6D6ufY5WPH7BAnIiLhTQFOJIdm/q3ZJ0UkvLhcFn3u9n9f/e9XSExUiBMRCWcKcCI5kJJimD3HX297afDaIiJyJjq0g9q17XJyCnz3owKciEg4U4ATyYG58yAlxS5XPwdq1Qxue0REcsrhsOgTcC/cb7/Dvn0KcSIi4UoBTiQHpk33X+x0aA+WpSGUIhI+Lm0D8XXtcloafPu9ApyISLhSgBM5jZQUw6yA4ZMdOyi8iUh4sSyLvn38312jx8Ku3QpxIiLhSAFO5DQ0fFJECoMWl8AFDexyejoM/1YBTkQkHCnAiZyGhk+KSGFgWRb9Anrhxo2H7dsV4kREwo0CnMgpaPikiBQmzZpaXNjELns8MOwbBTgRkXDjCnYDREKZhk+GjnXr1vHbb7+xePFidu/ejcfjoWzZslxwwQV0796d5s2b5+r5Bw4cyKhRo3z1Pn360K9fv2yP93g8/Pbbb4wZM4ZNmzbhcrmIj4/n6quv5rLLLjvt+bZu3cptt91GWloagwcPpmHDhrlq/wn33XcfixcvBuDTTz+lWbNmOXpcixYtfOW5c+ee9phAERERxMbGUrx4cSpVqkR8fDwNGjSgVatWREdH5+j8vXr1YteuXQCMHDmSKlWq5Ohxcub63m1x///ZwW3iJLj9FkONGvpxSkQkXCjAiZyChk8Gn9vt5pNPPuGnn37KtG/Hjh3s2LGDiRMn0rlzZ55//nmioqLO+BwLFy5k9OjROT7eGMMzzzzDjBkzfNtSU1NZtGgRixYtYs2aNTz44IOnfI63336b1NRUrr766jwLb8GSnp7OwYMHOXjwINu2bWPBggUAxMXF0a1bN/r160fx4sWD3Eo5oXEji0suNvwzH7xe+Gq44eUX9N0mIhIuFOBEsqHhk6HhrbfeYsyYMQC4XC66dOlCkyZNiIqKYtOmTYwePZq9e/cyefJk0tPTefPNN88oaKekpDBw4ECMMRQrVozk5OTTPub333/3hbeGDRvSvXt3LMvixx9/ZNOmTXz//fdccskl2fYKTpgwgfnz51O2bFkGDBiQ47aGkrfeestXNsZw9OhRjhw5wrp161i8eDE7d+7kyJEjjBgxgmnTpvHKK6/QpEmT4DVYMuh7t8U/8+0fqKZMhTtuM9Supe84EZFwoAAnkg0Nnwy+2bNn+8JbTEwMn3zyCfXr189wzC233MKjjz7KkiVLmDFjBuPHj6dbt245PseQIUPYtm0b5cuXp1OnTln29J1s5MiRANSpU4fPP/8cl8tFXFwcV111Fd26dSMxMZGRI0dmGeAOHz7Mhx9+CMBDDz1EXFxcjtsaStq1a5ftPmMMc+bM4f3332fr1q3s2bOHxx57jMGDB1OrVq0CbKVkp/75Fq1bGWbNtutDhxneeFUBTkQkHGgSE5FsaPhk8P3888++8n333ZcpvAHExsbyyiuvEBERAcDgwYMxJmcTM6xZs4Yff/wRgEceeYTY2NjTPiYlJYV///0XsO/bcrn8v4OVKFHCFx5XrFiR5eM/+eQTEhMTadGiRY7ulQtHlmXRqlUrvv76axo3bgzA0aNHeeaZZ/B6vUFunZzQt7f/O23mX7AmQROaiIiEAwU4kSxo+GTweb1e32QclmVxxRVXZHtshQoVfJN17Nq1i6VLl572+d1uN2+88QYej4dLL72UDh065Khdhw8f9gXErCbaOLHt0KFDmfYtXbqUMWPGEBUVxeOPP56j84Wz2NhYXn/9dV8v46ZNm5g8eXKQWyUn1Klj0T6gI3XoMAU4EZFwoAAnkoU5czV8MtgOHTpEamoqAKVLl6ZEiRKnPL569eq+8uzZs0/7/D/88ANr164lJiaGxx57LMftCpxVMauQdmLbybMvut1u3nrrLYwx3H333VStWjXH5wxn5cqVo2fPnr76iSGxEhr69LY4MbhgzlxYtlwhTkQk1CnAiWRh4mT/RUzHDho+GQw5HQaZlfXr159y/5YtWxg6dCgA99xzDxUrVszxc5coUYJy5coBWQfFWbNmAVCzZsbU/91337FhwwZq167NrbfemuPzFQaBvafLly/H7XYHsTUSqOa5FpcHjOT9YrDJ1WdPRETynwKcyEkOHzHMneevX95Z4S0YSpQo4bu/7ODBgxw5cuSUx2/ZssVX3rx5c7bHGWMYOHAgqampnH/++Vx33XVn3LZOnToBMHnyZIYPH86BAwfYtWsXr7/+OitXrgSgc+fOvuO3b9/OsGHDsCyLJ598MsN9c0VBrVq1KFasGGDfQ7hx48Ygt0gC9eltceI/yWXLyfD9JyIioadoXUWI5MD0GZCebpfj60L16gpwweByuWjQoAFLly7F6/Xy559/Zhu29uzZw8KFC331o0ePZvu8v//+O4sXL8bpdPLUU0/hdDrPuG29e/dm6tSp7N27l88//5zPP/88w/4TC3qf8M4775CamkqvXr1o1KjRGZ/vbN1///0Fdq5TcTqdVKhQwResExMTg9wiCVSlssVVPQwjf7frg740NL8EHA5994mIhCL1wImcZOIk//Chyy/TBUwwBd479fnnn7NmzZpMxyQlJfHiiy+SfiJ1A8eOHcvy+fbs2cMnn3wCwA033EB8fPxZtatUqVIMGjSIpk2bZthuWRadOnXi448/JjIyEoBJkyYxd+5cypQpkyFQzZw5k/vuu4+OHTvSvn17evfuzZgxYwrt8LXA5RKyundQguvO2y1O3Lb573qYOi247RERkeypB04kwO49hiXHJzB0OKBTx+C2p6i74oorGDduHAsWLODYsWP069fPt5B3ZGQkmzZtYuzYsezevZuqVauyfft2AByOrH+beueddzh27BiVKlWif//+uWpblSpV+Oyzz9i5cydbtmwhNjaWunXr+oIbwJEjR/jggw8A+M9//uMLMd988w2fffYZYE924nQ6Wb16Na+//jqrVq3iySefzFXbTujfvz+1a9fO0bF5dc7sBC4foHtKQ0/ZshbXX2v49nu7PuQrQ/t24HLpvRIRCTUKcCIBJk/xl5teCOXK6uIlmJxOJwMHDuSFF15gzpw5pKenM2bMmEwzGZ5//vkMGDCABx98ECDLxbEnT57MX3/9BcDjjz/uuycrtypXrkzlypV95wy8V++zzz5j//79NG/e3DeRx5o1a/jiiy8AuOuuu+jTpw9Op5ORI0fy7rvv8ttvv9GiRYtTLpSdU40bN/YtrxBsgcNaTzejqATHzTdZ/DbKcPQobNsOf4yHnlcGu1UiInIyDaEUCRA4+6QmLwkNcXFxvP/++7z77rt07NiRChUqEBkZSVxcHA0bNuSxxx7jyy+/zNDrVqZMmQzPcejQId577z3AnoCkdevW+d7u5cuX8/vvv2da8+2XX37B6/Vy7rnncs899xAREYHD4eC6666jefPmQMYFzAsDj8fDnj17fPXSpUsHsTWSnRJxFrfd4v/eGzbckJpaOIf0ioiEM/XAiRy3YYPhxOzzkZHQrm1w2yMZtWnThjZt2mS7P3Bmw/r162fY9/fff/smzihVqhRfffVVls+xZMmSDOUTxzVo0MAXrnLC7Xbz5ptvYoyhd+/eVKtWLdM52rVrl2koYYcOHZg3b55vqv3CMlvl+vXrSTm+sGKxYsUyLbEgoeO6a+CXX2H/fti3D379DW65KditEhGRQIXj6kAkDwT2vrVuBbGx6oELJ4sXL/aVGzdunGFf4MQgv/76a46eb+HChb6ZLW+88cYzCnA//PAD69evp1atWtx2220Z9u3duxeAChUqZHrciW1paWkcOnSIsmXL5vicoezPP//0lRs2bFhogmlhFB1tcdcd8N779mfmux8MV/WA4sX1fSgiEio0hFIE8HoNkwLuf9PwyfBy8OBB/v77b8AectmhQ4egtWXHjh189dVXWJbFE088kW1YOdEjFSg5OTm/m1fg9u3bx+jRo331K6/UTVWhrkc3qFLFLh8+DD+O0DBKEZFQop9BRYDlK2D3brscFwctct7ZIiHgo48+IjU1FYBrr72W6BPzoR/Xo0cPevTocdrn+fLLLxk6dCgAffr0oV+/fmfclnfffZeUlBSuuuoqmjRpkml/uXLl2LFjR5aLWZ/YFhkZScmSJc/43KHm2LFjPPvss76JXc4991zfIugSuiIiLPr2hldet4Pbz7/AtVcbypTRD1siIqFAPXAiZFz7rUN7+wJGQsOKFStIS0vLcl9aWhoffPAB48aNA6BGjRr07t27IJuXwYQJE5g9ezalS5fmgQceyPKYE6Fu8uTJ7N+/37c9JSXFN7vmBRdcENbDDI0xzJ49m969e7N0qb0uR2xsLG+88Ua2SzxIaOncCWrXssvJKfDN9+qFExEJFeF7hSCSR1JTDVOn++saPhlahg0bxvLly2nZsiX169enXLlypKSksHHjRqZMmcLOnTsBKF++PO+88w5RUVFBaefRo0d58803AXvNt+ymyr/mmmsYP348KSkpDBgwgJtuuonIyEh+/fVXdh/vBr7++usLrN1na8aMGb6yMYakpCQOHz7M2rVrWbJkCTt27PDtr1ChAq+88gq1atUKRlPlLDgcFv36wlPP2MFt1Gi46XpDpUr6fhQRCTYFOCny/p4NJ5buqlwJGjUMbnsks8OHD/Pnn39mmAwjULNmzXj22WepcuLGnSB4//332bt3L5dccgldunTJ9rgLLriAPn36MGTIEDZv3sxbb72VYX/Pnj2Deg9fTuVk4e+4uDi6du1Kv379slybT0Jb65ZwQQNYsRLS0+Grrw3PPKUAJyISbApwUuSNG+8fGtS1i4XDoQuUUNKvXz/OP/98Fi9ezI4dOzhw4ABOp5OyZcvSsGFDOnfuTKtWrYLaxpUrV/Lzzz9nWvMtO3379qV27dqMGDGCtWvX4vF4qFWrFldffXVYTvLhcrmIjY0lNjaWypUrEx8fT4MGDWjdunWm+xElfFiWxb394YH/2N+REybCzTcZap6r70gRkWCyAqfXPhOJiYkaEB+CTvzKfWLSgFAX9cdjvnJq93cL/Px79xquvdHg9dr1X360qFw5OBcn4fbeSUZ6/8KX3rtTe/QJL/P+scttL4U3Xg2t+xj1/oU3vX/hS+9d7pUuXfqsLjpD61tYpIBNmIgvvDVrStDCm4hIqLqnn/97ceZfsHyFfr8VEQkmBTgpsowx/BEwfLJ7V4U3EZGT1a1j0amjv/7ZF4azHb0jIiK5pwAnRdbyFbBtm12OjbWHBomISGb9+1qcWNli+Qq7J05ERIJDAU6KrMDJSzp1hOho9cCJiGSlahWLa6/21z8fbHC71QsnIhIMCnBSJCUlGaZM89e7dVF4ExE5lTtvtyhe3C5v2wajxgS3PSIiRZUCnBRJk6ZAcrJdPvdcaFA/qM0REQl5JUpY3HGb/8euYcMNx46pF05EpKApwEmRNGqM/6Kj55UWlqUeOBGR07n2aqhY0S4fPAjf/agAJyJS0BTgpMhZs8awdq1djoyEKy4PbntERMJFVJRF/z7+H7xG/Ax79ijEiYgUJAU4KXJGjfVfbHTsACXi1PsmIpJTl3WGunXtcloaDBmmACciUpAU4KRIOXbMMHmyv35VD4U3EZEz4XBY3H+v/7tz/AT4d71CnIhIQVGAkyJl0hRITrHLNc+FhhcEtTkiImGpWVOLFs3tsjH24t4iIlIwFOCkyDDGMDpg8pKrNHmJiMhZG3CPheP4VcQ/82HOXIU4EZGCoAAnRcaKlbB2nV3W5CUiIrlTq5ZF927++sefGtLTFeJERPKbApwUGb/+5r+wuLyzJi8REcmt/n0sYmPt8pat8OtvwW2PiEhRoAAnRcK+/YZp0/31a65WeBMRya3SpS1635lxce/ERPXCiYjkJwU4KRJGjwGPxy43vADq1lGAExHJC9deDdXPscvHjsHgoQpwIiL5SQFOCr30dMOo0f4LiuuuUXgTEckrEREWDz7g/14d+wckrFWIExHJLwpwUujNmAn7D9jlsmWhXdvgtkdEpLBp2dyiZQu7bAx8+LHBGIU4EZH8oAAnhV7g5CW9rrJwudQDJyKS1x6838LptMvLlsPUacFtj4hIYaUAJ4XaqtWG5SvssssFV/UIbntERAqr6udYXH+tv/7pF4aUFPXCiYjkNQU4KdRG/Oy/eOjUEcqWVe+biEh+uesOi9Kl7fKePfD9jwpwIiJ5TQFOCq1duwzTZ/jrN12v8CYikp+KF7e4p6//u/b7H2HHToU4EZG8pAAnhdYvvxo8XrvcrCnU0dIBIiL5rmsXqFvXLqel2ROaiIhI3lGAk0Lp6FHDmD/89ZtuUHgTESkITqfFI//xf+fOmg1/z1KIExHJKwpwUiiN+QOSkuzyuTWg+SXBbY+ISFFyQQOLKwMmjfrgI01oIiKSVxTgpNBxuw2//Oq/ULjxeguHQz1wIiIF6d5+FiVL2OVdu2H4dwpwIiJ5QQFOCp0/J9mznwGUKgWXXxbU5oiIFEklS1rcd4//x7Mff4ItWxTiRERySwFOChWPx/DdDxl736Ki1PsmIhIM3brCBQ3sstsN731gMEYhTkQkNxTgpFCZPhO2brXLxWPh6p7BbY+ISFHmcFg8+pCF4/jVxsJFMGVqcNskIhLuFOCk0DDG8G3APRbXXG2vSSQiIsFTp47FtVf76x9+Yjh8WL1wIiJnSwFOCo05c+Hf9XY5OhpuuE7hTUQkFPS926JcObucmAiffqEAJyJythTgpFAwxvBNQO/bVT2gVCkFOBGRUBAbm3FtuD/GwaLFCnEiImdDAU4KhcVLYMVKu+xywc03KryJiISStpdatGvrr7/9riE1VSFORORMKcBJoRDY+9a1C5QvrwAnIhJqHv4/i+Kxdnnbdhg2XAFORORMKcBJ2Fu12rBgoV12OOC2mxXeRERCUblyFvfdm3FtuHX/KsSJiJwJBTgJe1997f/j36kjVK2qACciEqqu7A6NG9lljxfeesfgdivEiYjklAKchLVlyw1z59lly4I7blN4ExEJZQ6HxROPWkRE2PU1CfDjiOC2SUQknCjASdgyxjB4iP9X28s7Q81zFeBEREJdjRoWd93h/74eOsxoKKWISA4pwEnYWrAQliy1y04n3H2XwpuISLi49WY4/3y77HbDawMNaWkKcSIip6MAJ2Hp5N63Ht1075uISDhxuSyef9oiMtKur1+f8Z5mERHJmgKchKW/Z8HqNXY5MgLuvF3hTUQk3FSvbnHfPf7v7x9+guUrFOJERE5FAU7Cjttt+HyQ/w/81b2gQgUFOBGRcHTt1dD0Qrvs9cLrAw3JyQpxIiLZUYCTsDPmD9iy1S7HxsJttyq8iYiEK4fD4pmnLGIDFvj+9HMFOBGR7CjASVg5dswwdJj/D/vtt1qULqUAJyISzipVtPjPA/7v8t9Hw4yZCnEiIllRgJOw8t0PhoMH7XLFinD9tUFtjoiI5JGuXaB9W3994NuGXbsU4kRETqYAJ2Fj127DiF/89Xv6WkRFqfdNRKQwsCyLJx63qFjRrh89Ci+/ZnC7FeJERAIpwEnY+HKoIS3NLteLh86dgtseERHJWyXiLF563sJ5/Opk+QoYNlwBTkQkkAKchIU1CYY/J/rr999n4XCo901EpLBpeIFFn7v93+/ffAcLFynEiYicoAAnIc8Yk2FGsktbw4VNFN5ERAqrW2+GZk3tsjHwyuuGAwcU4kREQAFOwsCMmbB4iV12Osiw6KuIiBQ+TqfF889alCpl1/fvh2dfMKSnK8SJiCjASUhLSTF89GnGRburV1eAExEp7MqVtXj+GQtHwP1w//3QYIxCnIgUbQpwEtK+/d6wZ49dLlUK+vRWeBMRKSqaX2Jxb3//9/6YsfDbqCA2SEQkBCjAScjats3ww0/++r39LeLiFOBERIqSm2+Eyzv76x9+ZJi/QL1wIlJ0KcBJyProU0N6ul0+/3zo1iW47RERkYJnWRZPPm5RL96ue7zw3IuGDRsU4kSkaFKAk5A0Y6Zh9hy7bFnwyH+0bICISFEVFWUx8DWL8uXs+rFj8NhThn37FOJEpOhRgJOQc+SI4b8f+v8o9+gO59dTeBMRKcrKl7d4+02LYsXs+p498MQzhmPHFOJEpGhRgJOQ8/lgw/79drlsGS0bICIitjrnWbz6koXz+NXL2rXw4EPHSE5WiBORokMBTkLK4iWG0WP89Yf/Y1FCE5eIiMhxLZpbPPqI/+/CwkUeHno0idRUhTgRKRoU4CRkpKYa3n7P/wf40tbQrm0QGyQiIiHpqh4WA+71h7i589w8/5IW+haRokEBTkLG8G8NW7fa5dhYeOQhC8tS75uIiGR2y01WhrVBZ8+Bp541pKQoxIlI4aYAJyHh6FH4/kd//b7+FuXLK7yJiEj27roD7r4rylef9w888rjh6FGFOBEpvBTgJOiMgZWrDB6PXW/UEK66MrhtEhGR0GdZFv/3QBT39POHuGXL4f8eNuzfrxAnIoWTApwE3YYNhiNH7HJkBDz5mNZ8ExGRnLEsiwH3RvPAAP/fjbXroP8Aw3ot9i0ihZACnATVoUOwcbO/fk9/ixo1FN5EROTM3HSDxVOPWziOX9ns3g33PWCYM08hTkQKFwU4CZqkJMOKlQaO/21teiFcf21w2yQiIuGrR3eLt97wL/adlARPPm349nuD16sgJyKFgwKcBM3HnxmSk+2yywXPPKWhkyIikjstW1h88alFxYp23euFQV8ann7OcPiIQpyIhD8FOAmKv2cbxoz11+PjLSpVVHgTEZHcq13LYvBnFg0v8G+bNRv69D8+8kNEJIwpwEmBO3DA8NY7/j+gFSpC5UpBbJCIiBQ6ZctafPyBxY03+Lft3AkDHjQM+cqL260gJyLhSQFOCpTXa3j1DUNiol2PjILz49XzJiIiec/lsnhwgIPXXraIjbW3eb3w9TdwzwDD5s0KcSISfhTgpEB9/yPMX2CXLQsuqG8RERHcNomISOHWvp3F8KEWTRr7tyWshd79DL/8qglORCS8KMBJgVm6zDBkqP+P5G23QpkyQWyQiIgUGZUqWXz4X4sB9/p/OExLgw8/NjzwH8OWLQpxIhIeFOCkQBw8aHj5VYPHa9cbXgB97tLQSRERKThOp8UtN1l8+YVF7Vr+7cuWw119DN/9YHRvnIiEPAU4yXdut+HFVwx79tr1EiXgpRcsXC4FOBERKXjn1bZD3F13gNNpb0tLhy8GG+4ZYFi/QSFOREKXApzku0FfGhYu8tefe9qiYgWFNxERCZ7ISIu+dzsYMsiibh3/9oS19nIDQ4d5SU9XkBOR0KMAJ/lqylTDjyP89bvvsmjVUuFNRERCQ53zLAZ/bnFPP/+9cW43DBsOfe8xrFmjECcioUUBTvLN+g2GgW/7//C1bgV33RHEBomIiGTB5bK4/VaLYUMsLmjg375+A/QfYPhskJfUVAU5EQkNCnCSLw4fMTzznCElxa5XqwbPP2PhcKj3TUREQtO5NSw+/cji/+63iI62t3m98MOPcFdfw9JlCnEiEnwKcJLn3G57xsntO+x6sWh441WL4sUV3kREJLQ5nRY3XG8x/CuLphf6t2/dCg/8x/D+h16SkhTkRCR4FOAkz332hWHeP/76M09Z1Kqp8CYiIuGjahV73bjHH7WIibG3GQO//gZ33m2Yv0AhTkSCQwFO8tSoMYaf/+ev33EbdGiv8CYiIuHHsix6Xmnx7dcWLVv4t+/cBQ8/ZnjrHS/JyQpyIlKwFOAkzyxabPjvB/4/ZO3bQt+7Fd5ERCS8Vaxg8fZAi+eesYiL828f84c9U+W6fxXiRKTgKMBJnti6zfDsCwaPx67XrQvPPq1JS0REpHCwLIsul1t897VF+7b+7Zu3wD33GX4daTBGQU5E8p8CnOTa4SOGJ582HDli18uWhbdetyhWTOFNREQKl7JlLV592eKZJ/0zVaalw/sf2bMvHz6sECci+UsBTnIlNdXw9LOGLVvtemSkHd7Kl1d4ExGRwsmyLLp1tfhqsEWd8/zb/5oFd/czrNbi3yKSj1zBbkBhZ4xh8uTJTJgwgbVr13Lw4EFKlChBzZo1ueyyy+jevTsuV968DSkpKaxfv56VK1eyZMkS1qxZw+bNm/EcH9f46aef0qxZs1ydIz09nTvvvJMNGzb4tjkiPsHhbArAc89Y1Kun8CYiIqFr586djBw5ktmzZ7Nr1y68Xi8VKlTg4osv5pprrqFWrVo5ep7q1S2++BQ+H2z436/2tl274b4HDP/3AOzfO4ShQ4fmuF0jR46kSpUqZ/OSRKQIUYDLR4cPH+aZZ55hwYIFGbbv37+f/fv3s2DBAkaOHMlbb71FpUqVcn2+q666isOHD+f6eU5l+PDhGcJboAcGWHTUjJMiIhLCJkyYwNtvv01SUlKG7Zs3b2bz5s2MGjWKAQMGcPPNN+fo+aKiLB560KJpE8MbbxqOHgO3G/77gaHGOeqJE5G8pwCXT9LT03niiSdYsmQJABUrVqRnz56cc8457NmzhzFjxrBp0yYSEhJ4+OGHGTJkCLGxsbk6p9frzVCvVKkS6enp7N+/P1fPe8LGjRsZPnw4ABERxUhPT/btu+E6uOkGhTcREQlds2bN4tVXX8Xj8WBZFh07dqR58+a4XC4WL17M+PHjSU9P58MPPyQmJoaePXvm+LnbXmpRuxY8/5Jh7Tp7W+Dvnf3796d27dqnfI4yZcqczcsSkSJGAS6fjBw50hfe4uPj+fjjjylRooRv/3XXXceTTz7J3Llz2bhxI1999RUPPvhgrs7Ztm1b6tSpQ/369alRowalSpXilVdeYdy4cbl6XrDD4euvv056ejrx9dqQkHAMWAxA0wvt3jcREZFQlZKSwptvvum7reC5556je/fuvv3dunWjc+fOPPLII3g8Hj788EPatGlD2bJlc3yOqlUtPv8EPvjYMGZsxn3p7sa0a5e72xhERECTmOQLt9vN119/Ddg3Or/44osZwhtAVFQUL7zwAsWKFQPgl19+4dChQ7k67wsvvED//v1p06YNpUqVytVzneyXX35hxYoVREYWY9OWRzLsu+0WLRcgIiKhbdSoUezduxeATp06ZQhvJzRv3pybbroJgKSkJH744YczPk9UlMWTjzl49imLwFvch39reOc9L6mpGlYpIrmjAJcPFi5cSGJiIgAXXXRRtjdDlylThs6dOwOQlpbGzJkzC6yNZ2Lnzp0MGjQIAMvVD4834/16ERHBaJWIiEjOTZ482Ve+4YYbsj3uhhtuwLLsHyWnTJly1ufr2sXiyu4Zf9wcNQbue9CwfYdCnIicPQW4fDBv3jxfuUWLFqc8tmXLlr7y3Llz861NufHWW2+RlJSE0xWP23M9AJEKbSIiEiaOHTvGihUrAChevDgNGzbM9tiKFStSs2ZNAHbt2sXGjRvP+rylS2fetnYt9OlnmPmXQpyInB0FuHwQOEtjvXr1Tnls4P7169fnW5vO1vjx448HSyc4nsSynBQvDrVOfR+2iIhIyNi4cSPG2IGpTp06OBynvvzJj7/NVSoOwZN6He6U9hzc35knnriem295kenTZ/raJiKSEwpw+WDLli2+cuXKlU95bIUKFXA6nQBs3bo1pL7EExMTef/9DwCwnNdhOepRLBrefcuiWHRw2yYiIpJTZ/J3+eRjAh+bG9u2LcGYHUAakARmGxs3/MlTTz3BnXf2ZefOnXlyHhEp/DQLZT44evSor3y6yURcLhexsbEcPnwYj8dDcnIyMTEx+dzCnHnrrf9y+PAhoCIOVz8iI2Dg6xYXNNCEJSIiEj6OHDniK+dkkq/AiccC/6afjaioKJo2bUrDhg2pXLkybreLn0bsZ8OGJRjvX4CHtWtXcued/fjuu6+oUKFCrs4nIoWfAlw+CFwcNDIy8rTHR0VFZXhsKAS4yZP/Yvr0SQA4Ih7F5YzhlZctLmqm8CYiIuElOdm/bunZ/F0+Wx07duSGG26gZMmSGbZ372744acbGTR4PempT4HZxuHD++jb91VGjPiIYsX0t1ZEsqchlJLJgQNHefmVdwCwHO1xutrw3LMWbVrpD4qIiEhO1a5dO1N4A3A4LG67xeLjD2tTruJ/ATtU7tkzn1vuWMGaNaFzO4WIhB4FuHwQ2IOWlpZ22uNTU1OzfGwwpKYaet/9Kelpe4BYHBEP89gjFpd1UngTEZHwdGLNVQitv8tNGlv88M05VK3Wzbdt147Z3HO/Yfi3Bo9HQU5EMlOAywfFixf3lQ8ePHjKY91uN8eOHQPs++EC/8gUtNRUw4AHFrN71+8AOFz3cv99Feh5pcKbiIiEr7i4OF/5dH+XAQ4fPuwrB/5Nzw8lSljc07+pf4PZjMcDXw41PPiQYes2hTgRyUj3wOWD6tWrs2PHDsBeBLtKlSrZHrtnzx48Hg8A1apV8y0eWtBSUw1PP2dYtWosYIAomjU9RErSML76KvPxu3bt8pUnTJjA0qVLAejcuTPVq1cvmEaLiIjkQODfpZzM9hh4TEH8TQscZlk89gjJ6XZ52XK4825D37vhhuvA5dIPqiKiAJcvatWq5VuUe82aNTRr1izbY9esWeMr164dnMXV0tIMz75g+Gc+dnYDIJX5/wxh/j+nf/yYMWN85dq1ayvAiYhISKlZsyYOhwOv18u6devwer2nXAuuoP82B/b4XXRRHPHnWwz72uDxQloafPaFYeo0eOoJOK+2QpxIUachlPmgefPmvvK8efNOeeycOXN85RYtWuRbm7KTlmZ47gXD3FM3U0REJGzFxsbSoEEDwF4WYMWKFdkeu3v3bjZu3AhApUqVqFmzZr63b9GiRb5yjRrVuesOi8FfWNQ5z3/MmgTo098weIiXlBQNqxQpytQDlw+aNWtG6dKlSUxMZP78+WzYsIFatWplOu7AgQNMnjwZsKcsbtu2bYG2Mz3d8PxLhtlz/dv69H2OPr2fP+1Qzvvuu4/FixcD8Omnn56yl1FERCTYOnfuzPLlywEYMWIEjRo1yvK4n3/+GWPsgNSpU6d8b9e2bdsYN26cr96qVSsA4utafPkF/DgChn1tSEsHjwe++Q7+nGT4v/uh7aUE7dYLEQke9cDlA5fLxV133QWAMYaXX345w/AIsGe4euWVV3xr01x33XVZTjUM8Morr9CiRQtatGjBl19+mSdtTEkxPPWsYdZs/7Y7boM+vS39MRARkUKnZ8+elC9fHoApU6bwxx9/ZDrmn3/+4aeffgLs2SdvueWWLJ9rx44dvr/L2Y2e+euvv5g6darvPvesbNiwgYceesg362XTpk0zBEuXy+L2Wy2GDbFoeIH/cbt3w7MvGB59wrBli3rjRIoa9cDlk2uuuYZp06axZMkSEhISuP322+nVqxfVqlVjz549jBkzhk2bNgH22PzevXvn+pwLFixg2bJlgH+a5LVr1/r2jxkzhvnz55OWBlOnG3bvBofrFiwrjttvhX59FN5ERKRwio6O5qmnnuKJJ57A4/Hw2muvMXv2bFq2bInT6WTRokWMHz/eF7j+85//ULZs2bM+3/bt2/nggw8oXbo0LVq0oE6dOpQtWxaXy8WBAwdYtGgRM2fO9J2vfPnyvPDCC1k+V40aFp9+BOMmwBeDDAcP2dv/mQ933G248XrDnbdbxMTob7hIUaAAl08iIiJ4++23eeaZZ1iwYAG7d+9m0KBBmY6Lj4/nrbfeypNpihcvXszQoUOz3T9hwoTMG51X0fuuOO6+S+FNREQKt9atW/P888/z9ttvk5SUxJQpU5gyZUqGYyIiIhgwYAA9e/bMk3MmJiYyfvx4xo8fn+0xTZo04cUXX6RSpUrZHuNwWPToZg+bHDLU8Pto8HrB7Ybvf7SHVfbrA10uB6dTf89FCjMFuHxUokQJPv74YyZPnsyECRNYu3YtBw8eJC4ujlq1atG5c2d69OiByxW8t+GO2y369NZIWhERKRq6dOlC48aN+fXXX5k9eza7du3CGEP58uW55JJLuOaaa7K8b/1Mde3alfLly7N8+XLWrFnDvn37OHjwIMnJycTGxlKxYkUuuOACOnfufEb3kZeIs3jkIYsruxv++6Fh+fH5WPbtg4FvGf73KzwwAJo1VYgTKaysEzfqnqnExEQNug5BJxYrPXLkSIbtmzfbY+V37bbrlgVPPGpxZY/gfsFH/fGYr5za/d0gtiT4snvvJDzo/Qtfeu/CW1F+/4wxTJgIXww27N+fcV/rVnD/vRbVq4d2kCvK71+403uXe6VLlz6rD6i6XoqApcsM9z7gD29OJ7z0fPDDm4iIiJw9y7LoeoXFj99a9L4ToqL8+2bNhtt7G97/0MvBg/rNXaQwUYAr5KZONzz8qOHEjyPR0fDm6xadOiq8iYiIFAYxMfbtED9+a9H1Cv92jwd+/Q1uutXw7fdG68eJFBIKcIXYiF8ML75srx0DULo0fPKBRcsWCm8iIiKFTYUKFs8+7WDoYIsLm/i3Hz0Gg7403HSbYdQYg9utICcSzhTgCqH0dMO773v5+FPDiVsczzkHvvjUol49hTcREZHCLL6uxUfvWwx8zaJaNf/2ffvgnfcMt/c2TJ1uONt5EEQkuBTgCpn9B7z0v+8Yv4/yb2t4AXzxiUXVKgpvIiIiRYFlWVzaxuK7ry0ee8QicEm7rVvhhZcMfe8xzF+gECcSbhTgCpE1CYZbbjvKosUe37aOHeCD9yxKllR4ExERKWpcLoteV1mM+N7inn4WxWP9+xLWwsOPGR561MuaBAU5kXChAFdITJxkGPCgYddu+wvYsuCefhYvv2ARFaXwJiIiUpRFR1vcfqvFzz9a3HIzREb69y1YCH3vMTz9rJeEtQpyIqFOC3mHueRkwwcfG/4Y598WVxxeeE6TlYiIiEhGJUpYDLjH4rqrDcO+MYwbBx6vve+vWfDXLEPrVobed+i+eZFQpR64MLZunaFP/4zhrea5Dr77prjCm4iIiGSrQgWLJx9z8M0wi/btMu6bNRv63mt4/CkvK1epR04k1CjAhSG32zBsuKHffYYtW/3bL+sM3w0vzrk1nMFrnIiIiISNGjUsXnvZwfCvLDq0t2/BOGHOXLhngOGRx70sW64gJxIqNIQyzKxbZ3j9TcO/6/3bikXDIw9bdLkcihdXz5uIiIicmdq1LF59yWLDRsPwbw1Tp+Fbiuif+fDPfEOD+oabbrBoeyk4nbreEAkW9cCFifR0w9BhXvremzG8NagPQ7+06HqFhWXpy1RERETOXq2aFi+/4OC7ry0u7wyOgCvFlavg+ZfsBcF/+dVw7Jh65USCQQEuxBljmDXbXnRz2HDwHF8hIDISHhhg8dnHFtXPUXATERGRvFOjhsULzzn4brhFt64QEeHft3MnfPixode1hjff9rJqtRYFFylIGkIZwjZvNnz0qWHePxm3N7wAnn5SwU1ERETyV/VzLJ550uKevoZffzP8PhoOH7b3JafA2HEwdpyhdm24sjt06gClS+v6RCQ/KcCFoMSDhm+/M/z6m7/HDaB4LPTtY3F1T409FxERkYJTtqxF/74Wt99qGP8n/Pa7YeMm//716+GDjwwffwIXXWS4rLNF2zYQE6PrFZG8pgAXQg4dMvw4wvDrSPtXrRMsC67qYYe30qX0RSgiIiLBUayYxTW94OqesGIljBlrmDINUlPt/R4vzPsH5v1jiIyE5hcbWre2aNUCypTRNYxIXlCACwGHDxt+/p/h5/9BUlLGfY0bwUMPWtSpoy89ERERCQ2WZdHwAmh4gcWD9xsmT4VJkw3LlvuPSUvzLw5uWVD/fEOrlhYXNYP4uuBy6dpG5GwowAXR5s32LE7j//T/cnVC7VrQp7fFpW3Q7JIiIiISsuLi7Ns7ru5psWvX8TA3xbA+YNZsY+xZLFeuMnw5FGJjoUljQ+uWqVxyiYuKFYyud0RyyDrbWYMSExM13dBZ8HoN8xfAL78a5s7LvP/cGnB3b4v2bcHhOPMvsri4OACOHDmS26bmuzJlyvBNrxK++h2/Hw5ia0REJJwcOHAACK+/e0XNlq2GWbNh1my7Z87rzf7YUqXw9eg1vMDuoYuMVKALZfrs5V7ps5zxRz1wBWTnTsO4CYZxE2D37sz7z6sNt9xk0amjJigRkf9v7+6D7CrrA45/7+ZtBfICgYDZvEAgPCoEYXipowihjCBDLRZQrFVhsNOpQxVGmQ5T24m0pbUVRmjRqfWlKLW+i7VaUVEIIlYhzAARfBIgCSYLBAIJC5iQ7J7+8Zybe3fZvdl7d+/L2fv9zJw55557zvPcm1+eu+d3znOeI0nFt2RxiSUXwR9fVGLHjnTi+t41GWvug61PD992+3b42V3ws7vS9YGZM+DIIzOWL4ejl5c4ennqnTRrlsdIkglcE+3YkXHX3fCjH6cfq5FKJTj1jfCOC0uccLxdJSVJ0tQ0d26Js8+Cs88qkWUZv90Ma+6D+x+Yxj33DrJjx/COXS/vhod/kyZI703rgSVLMo4+GpYfVeLwpann0oIFjfVakorKBG6SPfdcxp13wR2rM+67L43GNNLcOXD2WXD+20ssWuQPjiRJ6h6lUokli2HJYnjfe/ZnaCjjwbUDPLgW1q7NeHAtbN7yyv0Gh2DDxjT98EeVhK+3NyV2hy9JDyA/fCksXQp9C2HGDI+zNPWYwE3Qrl2pX/c9azLuvRfWrR99u54eOOVkOPecEm96o/26JUmSIF09W3ZEiWVHwHlvS8dH27dnrH8kHVetW5ex7hHYvDkNhjLSzp2wbl2aylfrIF2xO/SwjEV9sHAhLOor0bcQ+vpScmd3TBWVCVydBgYy1j4EDzyY8eCD8NBD6TL/WI55Haw8vcSZZ8CCBf5QSJIk7cu8eSVOPglOPgkgHT+99FLGI4/C+vXw6IaMTZtg0ybYvmP0MgaHoL8/Tcnw7O/gg0dJ7ham13PmeMymzuUolGMYGsp44knYsAEe2wCPPpbx2GOwcdPoZ3/KpvXAMcekpO300+DQFidtRRsRaNb3r9y7vOvca9v4SdqvaLHTcMavuIxdsRm/YpuM+G3fnrHp8XSMtmlTluaPjz5o3HgdcEBK5Ba+upzUlfYmdwsO8Rl2YNubDI5CWYcsy9i5E54fgKefhqe2wtatsHVrxlNbU4Pf9Hi6JD8eS5ekM0QnnZgGI9l/fxu1JElSK8ybV2LePHj9cVC+Wgewc2dGfz9syafNW9LrzVvgqSdHH6eg7IUXqrtlwrCumdPgsEOzSoLXV6pK9DwOVPNNqQQuyzK+81341T0Ze/bA7t3sne/eAzt/BwMvwMBAWt+IaT1w1FFw3ApYsaLEccfCwQfbUCVJkjpJb2+JZctg2bLymsrx2p49GU89lZK5Lf2wZUvGlry7Zf8TtU/iDw5WksJkeNesuXMyFvYNv3r36sPg4Pkwf356iLkjj2siplQCt/bXcN0nJ69n57x56ZkjRxzB3ptrlx0B++1no5MkSSqq6dNLaTCTvvKayrFdlmU8+2xK5CpJXcaWLWndtm21y97xfJoefnhvicPe7+2F+QdlzM8TuvnzYd7cErMPSF03Z8+uzF/VCzNnwowZaT5z5uQnf1mWkWXpQetDQ+lWocFB9q7LsnS1MhuCoSzNB4fg+YEhsiF4fiDb+97eMsrbVk3lskaug1e+N5Slf7bq+ocG8/KzynL5cw0OVequngYH0xXT005lSo38PqUSuAULYPr08V1dmzkDZs+B+QfBoQvSvgsWlPYuL+qDgw6aOoHuWNNnwZ5daS5JktRmpVJpb2K14ti9a/e+v3NnRv8TKZnr35Ind3mi98QTtQe3S/uPvIIHI5O8WmbOyJgxE2ZMH/axRi2inAy9IsEqJ0FZ7bEdaivOvW//+V9wyzemzsijUyqBO3RBiW99DdY+lP5Tz5iRErryfOZMmDM7ndGYKgEsuj3L38L0DavZc8Tp7f4okiRJ+9TbW+mVlVSOKYeGMp55Jk/u+mFLf0r2nnwStj2brt7t2jWx+l/eve8kUcMNDU4kUe08UyqBA5g/v8Tpb273p9B4DS5byeCyle3+GJIkSRPW01PKe3XB8a+H4ZfIUnfFF1+EZ7alZG7btrQ8MJAxMFAZq+GFF9Lyrl3w8stp2r07Tc1QKkFPCXqm5cs9aT6tB0o9lfd6SpXX06eXKPUAWfaK96rnJVJ5lOvoKf9bpTpGTqO9P60nr79n+DQtn5eqlsufpbw8a2YaHb63d+pcvJlyCZwkSZLUiUqlEgfk97odvnTYO+Paf2goY/fuSkL3itvhRilmWs+IpKwqSaskSfUnNz5GoH1M4CRJkqQC6OkpMWsWzHLogK7W0+4PIEmSJEkaHxM4SZIkSSoIEzhJkiRJKggTOEmSJEkqCBM4SZIkSSoIEzhJkiRJKggTOEmSJEkqCBM4SZIkSSoIEzhJkiRJKggTOEmSJEkqCBM4SZIkSSoIEzhJkiRJKggTOEmSJEkqCBM4SZIkSSoIEzhJkiRJKggTOEmSJEkqCBM4SZIkSSoIEzhJkiRJKggTOEmSJEkqCBM4SZIkSSqIUpZl7f4MmkRXX311BrBq1apSuz+L6mPsis34FZexKzbjV2zGr7iMXft4BU6SJEmSCsIETpIkSZIKwgROkiRJkgrCBE6SJEmSCsIETpIkSZIKwlEoJUmSJKkgvAInSZIkSQVhAidJkiRJBWECJ0mSJEkFYQInSZIkSQVhAidJkiRJBWECJ0mSJEkFYQInSZIkSQUxvd0fQMOFEBYBHwTeBiwB9gAbgFuAf40xPjfB8hcDpwAn5/MTgTn521fHGD82kfK7XTPjF0KYAfw+8BbgDUAA5gEvAZuA1cBnYoxrJ/AVulaTY9cHnE1qdycAhwEHAzOAbcADwHeAL8UYX2r8W3SvZv92jlFnD/BzUnsEIMZYmux6ukGT299K4PZxbv7FGOMljdbVjVrZ9kIIy4FLgXOAxcD+wFZgI3AH8HX/BtanyW2vkYdNHxFj3Nhond3CB3l3kBDCW4GvkA7KR7MFOC/GuKbB8peSfuTGYgI3Ac2MXwjhEOBhYP4+Nh0CPh5j/Gi9dXSzFrS9K4FPjGPTTcAFjdbTrZodvxr1fhD4l+p1JnD1a0H7W4kJXFO0qu2FEErA3wAfBWbW2PSGGOMVE6mrm7Sg7dWbZOwADosx7mykvm5iF8oOEUI4DvgmlSsqq4BTgZXAJ4FBoA/4XghhYYPVVB9YZMAjwJ0NlqUqLYjfLCrJ21rgGuAPgJOA04GrST98PcBfhRD+rsGv0nVa1PYyUgL+GeADwB+SroCfDrwP+GG+3VLgxxOop+u0KH6j1buY1A4z4OnJKrfbtCF+lwIrakye/BqnFsfuU6S/czOB+4ErSL+fJ5B6pfwl8AvSSUyNQ4viV6utlaerqrb/msnb+NiFsnNcT+oKMAicE2OsTqxWhxDuA24mdb36e9IfoXoNAH8N/Aq4N8b4XJ1nJjW262lu/DLgNmBVjPHuUd6/M4TwZeBuUte8q0IIX4gxbqiznm50Pc1vezfEGK+r8f7NIYQrSH80DwSuBD7cQD3d6HqaH7/RfBqYDXwOWE46mFT9rqe18dtgF7tJcz0tiF0I4WLSiS9IPRmuijGOTNRuAz4RQqh1dU7DXU+T4zeethZC+Ieql1+st45uZRfKDhBCOBG4N3/5+Rjjn46x3U9I90ANAgtjjFsnoe6VVBI4u1A2oJ3xG6WO6i5dH44xfnKy65hKOix204HngANIJ1hOnuw6ppp2xS+EcBHwVdKVt9cA3yZP4OxCOX6tit+Iv3NnxBjvaOgDa68Wxu4AUtfyg4BbY4znNP6pVdYpf/vy20P6SReU1scYj57M8qcyu1B2hvOrlj9fY7sv5PNppC5Y6gydFL/qq6lHNamOqaRjYhdj3AOUu470NqOOKajl8QshHAjckL/8SIzx2YmU1+U6pv2pbq2K3btJyRuAtwZMnk5pe++m0hvQq291MIHrDKfm85eAe2psV31wfuqYW6nVOil+1d1HBptUx1TSMbELIZxJ6v4K8Jtm1DEFtSN+1wKHArfHGG+eYFndrmPan+rWqthdlM+3Vd8+EEI4OIRwVAhhXgNlqnPa3sX5PCN119Q4mcB1htfl8/X5WfhRxRj7SfexVe+j9uuk+FXfh/Nwk+qYStoauxDCnBDCMSGEj5GGbC67YYxdNFxL4xdCOIN0H8gu4M8bLUd7taP9XRNC2BhC2BVCeC6E8EAI4cYQwooJltttmh67/DEd5a7kD4QQSiGEy0II60ndl9cDz4UQHgohXOH9b3Vp+3FL3uZOyF/eHmN8fDLLn+pM4NoshDCLyln3zePY5bf5fHFzPpHq0UnxCyHsTxqZC9IB5n9Pdh1TSbtiF0K4NoSQ5cMr7yCNKrqKNCDGHuCyGONdE6mjG7Q6fiGEXuDf85f/GGNc10g5Str42/lG0mivM0mj760ALiMlCDfkz9tUDS2M3WLS7yLAs6QRE2/klbcHvJY0ANRtIYS5ddbRdTrouOXiqmW7T9bJBK79ZlctvzCO7cvbHNCEz6L6dVL8riU9hBPgxvzMmcbWSbEDuBU4Jsb46SaVP9W0On6rSAeO64CPN1iGKlodvydJI4e+m/Tg9RNJDy6+kdSNDOBDwGcbLL+btCp2B1Utn0u6b2sDcCEwlzSC4plUugC+mTQqrGpr+9++EMI0Ulssl/+tySq7W/gYgfZ7VdXyy+PYftco+6l9OiJ+IYRLqXTp+jXpgaeqrV2xuxa4KV/en3T2+GLgrcDXQgh/FmOsdU+CkpbFL39e0pX5yw/EGHfV2l7j0sr2dw+wJMa4e8T6+0jPuLqRNAz9IuDiEMI3Yozfb6CebtGq2O1ftdxL6jb5phjjE1Xrf5qPMvp/pKupF4YQTvY3tKZOOG45C3h1vvzNGOOLk1h2V/AKXPv9rmp5PP23Z42yn9qn7fELIZwD/Fv+8hng/Bij/z/2rS2xizE+GWNcm0+/jDHeFGM8g/SMxuNJz/Q7ayJ1dImWxC+/D+dzpBOeN8cYf1rP/hpTy9pfjPHFUZK36vcj8J6qVR+qt44u06rYjXyg8z+PSN4AiDG+xPAHsL+rznq6TduPW7D75ISZwLXfQNXyeC5Pl7cZz2VvNV9b4xdCOI3U9WAG6X6qs703Z9w6qu3FGK8BfkU60/zZ/LlwGlur4nc5aSCFZ4GP1LmvxtZp7W81lYGfTssTd42uVbEbGPH6BzW2vY10DzFUBj7R6Np93DIXOC9/uRFYPRnldht/oNos74rzTP5y0Th2KW/z25pbqSXaGb8QwinA90jdGl4Ezo0x3jfRcrtFh7a98sAzS4BTmlhP4bUwflfl89uBM0MI7xo5AQvKG1etP3/U0gR0bPv7dT7vBeY3sZ5Ca2HsNpOGly8bc/+810n5Mx1SZz1dpQPa3jupPOv0SzHGrNbGGp0JXGd4KJ8vr3XWPYSwEJgzYh+1X8vjF0J4PWnQi9mk/ulvjzH+fCJldqlOa3tPVy0vbWI9U0Ur4lfuPnQB8JUxptdWbV9e9wW0L53W/jyQHL+mxy6/L2pj1app+9il/L7PQN23dra96u6TX5qkMruOCVxnKA8Zvh+1L/2vHGUftV9L4xdCeC3wY+BAYDfwjhjjbY2W1+U6re31VS3bTXrfOi1+qk+nxe+YfL4L2NbEeqaCVsXuzqrlI8faKO+WVx4af0sD9XSbtrS9EMJRwJvK5cUYH51omd3KBK4zfLtq+f01trs0nw8C323ex1GdWha/EMKRpL7+h+TlvCfG+D+NlCWgg9pefs/NBVWrHmxGPVNM0+MXY5wXYyzVmqi6h6Nq/bx66ulSndT+3kzlQcV3xRiHmlHPFNKq2H2javmCMbeCPwJK+fKdNbZT0q62976qZQcvmQATuA4QY1wD3JG/vCT/QzJMCOFPSM87gdRneOuI9w8vPxw4hHDHyP3VPK2KXwhhMfATYCGpq8/7Y4xfn5xv0Z1aEbsQwn4hhPfWGhQhfybOdcCx+aqfxRg31vt9uo2/ncXWovZ3YAjhjFqfI4QQgC9XrfrU+L9Fd2ph2/sBcH++fHkI4YRR6ukDrslf7gL+o57v0o3a8dsZQigB781f/g7w+GUCHOWsc1wO3E167smtIYSPkw7Wp5NG67k83+5J0nDjDQkhvBU4rGrVa6qWjw8hXFK9fYzxpkbr6jJNjV8IYT7pylv5vqhPAWtCCMeOvRcvxhg31FtXF2p225tJ6uf/9yGEb5KeV7SZ9AfsQOAE4BLSM4wAngcua+SLdKmW/HaqaZodv7mkZ4WtBb4DrAH6Sd3P+4CzSVcZ9su3/2qM8ZaGvkn3aXrbizEOhRA+QBpE6FXA6hDCtVRGnfw90kBDC/NdPhpj7G/s63SdVv92ngYcni/fEmN8fhLK7FomcB0ixvhACOFC0s3v84C/zadqW4DzJvjjdBVw+hjvnUdlaNeymyZQV9doQfxWAEdXvf6LfKplNcP7r2sULWx7S4AP72Obh4D3xhjtPjlOLYyfmqCF8TuWyhXu0WTAjVQe2K59aFXsYoy/CCG8k3QibC5wdT5Vy4CrY4zXNVpPt2nDb6fPfptEdqHsIDHGW0kH6p8gPY/mRdLZ+PuBjwEr8sve6kDGr7iaGbsY43bgDcAq4H9JSdo20j0FO/L6vgxcCBzvoyDqZ9srtibHrx94B6mL8p3AY3nZu0nt8Jf5e8fEGD8UY3y58W/SfVrV9mKM3yUNMvNPpMc9DJB6MTwKfI702zkyqdM+tCp+IYT9SH/jICWFDrw2QaUsc9RcSZIkSSoCr8BJkiRJUkGYwEmSJElSQZjASZIkSVJBmMBJkiRJUkGYwEmSJElSQZjASZIkSVJBmMBJkiRJUkGYwEmSJElSQZjASZIkSVJBmMBJkiRJUkGYwEmSJElSQZjASZIkSVJBmMBJkiRJUkGYwEmSJElSQZjASZIkSVJBmMBJkiRJUkGYwEmSJElSQZjASZIkSVJBmMBJkiRJUkH8P01Otondi+MXAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 296, "width": 440 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_posterior(idata, ref_val=0.14)\n", "plt.savefig('./output/B11197_02_04.png', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Loss functions: how close to the truth are we?\n", "\n", "We can find the value of $\\hat{\\theta}$ that minimizes the loss function(s) below. \n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "array([0.35986819, 0.23793445, 0.27472342, 0.34777275, 0.46235901,\n", " 0.1630317 , 0.31669555, 0.37883126, 0.33795245, 0.48356288,\n", " 0.38120963, 0.26406215, 0.38582085, 0.57699365, 0.47992564,\n", " 0.15988675, 0.5516593 , 0.16191774, 0.25610834, 0.52809551,\n", " 0.25547977, 0.17300396, 0.21062766, 0.18926698, 0.22679219,\n", " 0.41337775, 0.44661721, 0.45597114, 0.32436655, 0.34509972,\n", " 0.39478497, 0.28593878, 0.26289785, 0.28533806, 0.21800791,\n", " 0.24311865, 0.32646302, 0.30632996, 0.34421134, 0.35700624,\n", " 0.30651727, 0.33843605, 0.32990145, 0.32990145, 0.29930425,\n", " 0.17317636, 0.16353757, 0.56281394, 0.46046256, 0.46046256,\n", " 0.208586 , 0.1974908 , 0.43106712, 0.45270041, 0.24810727,\n", " 0.21383876, 0.48750785, 0.38125267, 0.46186692, 0.39161742,\n", " 0.35978344, 0.31574192, 0.22043384, 0.25630947, 0.23343554,\n", " 0.27436605, 0.1564859 , 0.17062229, 0.1572067 , 0.279454 ,\n", " 0.26510465, 0.33241055, 0.33241055, 0.36933485, 0.18314664,\n", " 0.18314664, 0.17684266, 0.20048061, 0.2525933 , 0.2525933 ,\n", " 0.26713454, 0.32935323, 0.32935323, 0.22612661, 0.15380947,\n", " 0.33573488, 0.33202538, 0.36417702, 0.30564146, 0.24742538,\n", " 0.27871137, 0.18711206, 0.19618314, 0.24487698, 0.29484858,\n", " 0.33521221, 0.3500276 , 0.45503577, 0.30303425, 0.31447388,\n", "...\n", " 0.28730952, 0.37416473, 0.39870614, 0.22715366, 0.30540043,\n", " 0.24109083, 0.24003391, 0.24003391, 0.31393328, 0.2521011 ,\n", " 0.32547285, 0.32547285, 0.45371678, 0.22707331, 0.37744095,\n", " 0.28733045, 0.17621198, 0.26957846, 0.39099302, 0.41994913,\n", " 0.21903393, 0.27986717, 0.28150703, 0.31819665, 0.3196977 ,\n", " 0.45516111, 0.21946515, 0.23362021, 0.43188303, 0.36724457,\n", " 0.29265562, 0.28431276, 0.13433931, 0.19889503, 0.19889503,\n", " 0.20159266, 0.40134858, 0.45478616, 0.29723575, 0.29364812,\n", " 0.37794922, 0.44915937, 0.44915937, 0.34070321, 0.28294589,\n", " 0.29441698, 0.29441698, 0.41730201, 0.36624934, 0.38526048,\n", " 0.41264646, 0.34745866, 0.3365048 , 0.3365048 , 0.33381656,\n", " 0.48249416, 0.39629296, 0.24249243, 0.19256846, 0.21118406,\n", " 0.21086844, 0.21347245, 0.21347245, 0.20453277, 0.13203623,\n", " 0.29414727, 0.29352201, 0.43644133, 0.33169766, 0.42028181,\n", " 0.15197309, 0.28529336, 0.24720682, 0.25213633, 0.25213633,\n", " 0.24154764, 0.27865203, 0.27831912, 0.20255332, 0.25330583,\n", " 0.11812659, 0.51656964, 0.4396739 , 0.35464337, 0.34563145,\n", " 0.24817439, 0.3242482 , 0.1850232 , 0.18472814, 0.26843548,\n", " 0.36299204, 0.40674057, 0.43179094, 0.51431637, 0.51431637,\n", " 0.30216127, 0.40225216, 0.33149639, 0.33149639, 0.30193819])\n", "Coordinates:\n", " chain int64 0\n", " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n", "mean: 0.32, median: 0.32\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 296, "width": 440 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grid = np.linspace(0, 1, 200) #Le'ts explore a grid of 200 points\n", "nchain = 0 \n", "θ_pos = idata['posterior']['θ'][nchain] #for the nth first chain\n", "print(θ_pos)\n", "\n", "#------ here add also the \"average\" chain ------#\n", "\n", "\n", "lossf_a = [np.mean(abs(i - θ_pos)) for i in grid] #Absolute Loss\n", "lossf_b = [np.mean((i - θ_pos)**2) for i in grid] #Quadratic Loss\n", "\n", "\n", "for lossf, c in zip([lossf_a, lossf_b], ['C0', 'C1']):\n", " mini = np.argmin(lossf)\n", " plt.plot(grid, lossf, c)\n", " plt.plot(grid[mini], lossf[mini], 'o', color=c)\n", " plt.annotate('{:.2f}'.format(grid[mini]),\n", " (grid[mini], lossf[mini] + 0.03), color=c)\n", " plt.yticks([])\n", " plt.xlabel(r'$\\hat \\theta$')\n", "plt.savefig('./output/B11197_02_05.png', dpi=300)\n", "\n", "check_mean = np.mean(θ_pos)\n", "check_median = np.median(θ_pos)\n", "print('mean: {:3.2f}, median: {:3.2f}'.format(check_mean,check_median))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "   Notice
\n", "

\n", " We saw this heuristically (calculating the mean and the median), but the key message is that different loss functions are related to different point-estimates. Compare to the plot above. \n", "

\n", " Cost functions could be asymmetric. \n", " A dummy example is the following.\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 296, "width": 440 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lossf = []\n", "for i in grid:\n", " if i < 0.5:\n", " f = np.mean(np.pi * θ_pos / np.abs(i - θ_pos))\n", " else:\n", " f = np.mean(1 / (i - θ_pos))\n", " lossf.append(f)\n", "\n", "mini = np.argmin(lossf)\n", "plt.plot(grid, lossf)\n", "plt.plot(grid[mini], lossf[mini], 'o')\n", "plt.annotate('{:.2f}'.format(grid[mini]),\n", " (grid[mini] + 0.01, lossf[mini] + 0.1))\n", "plt.yticks([])\n", "plt.xlabel(r'$\\hat \\theta$')\n", "plt.savefig('./output/B11197_02_06.png', dpi=300)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "jupynb_env_new", "language": "python", "name": "jupynb_env_new" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 1 }