{ "cells": [ { "cell_type": "markdown", "id": "ab5196e9-cad0-4814-8a05-61a2b27141fa", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Parameter (uncertainty) estimates benchmarked with synthetic time series\n", "\n", "*Mark Bakker - Delft University of Technology*\n", "\n", "The purpose of this notebook is to demonstrate that the parameters estimated by Pastas are unbiased and that the coverage of the estimated uncertainty of the parameters is correct, i.e., the 95% confidence intervals of the estimated parameters contains the true parameter values approximately 95% of the time. \n", "\n", "All examples in this notebook use synthetic data. The true head is simulated with a known response function. The performance of Pastas is evaluated for head series with different kinds of both uncorrelated and correlated errors. The Notebook consists of the following sections:\n", "\n", "0. [Generation of the true head series.](#generation-of-synthetic-head-series-the-truth)\n", "1. [Modeling of synthetic heads that contain no errors.](#experiment-0-uncorrelated-errors-no-noise-model)\n", "2. [Modeling of synthetic heads with uncorrelated errors](#experiment-1-correlated-errors-with--no-noise-model)\n", "3. [Modeling of synthetic heads with correlated errors](#experiment-2-correlated-errors-with--with-ar1-noise-model)" ] }, { "cell_type": "code", "execution_count": 1, "id": "3f9812c4-444d-4bd4-8bb8-759ef672ec27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pastas : 2.0.0\n", "Python : 3.12.12\n", "Numpy : 2.4.4\n", "Pandas : 3.0.1\n", "Scipy : 1.17.1\n", "Matplotlib : 3.10.8\n", "Numba : 0.65.0\n", "\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.special import gammainc, gammaincinv\n", "\n", "import pastas as ps\n", "\n", "plt.rcParams[\"figure.figsize\"] = (5, 3) # default figure size\n", "ps.show_versions()" ] }, { "cell_type": "markdown", "id": "aadbb7aa-0a38-465e-b596-45b3a92b9ee5", "metadata": {}, "source": [ "The following function generates correlated data with an underlying standard deviation of $\\sigma_x$ and a correlation $\\rho$." ] }, { "cell_type": "code", "execution_count": 2, "id": "eb5c6d9b-6e6c-4963-bd63-8e13cbfce2a7", "metadata": {}, "outputs": [], "source": [ "def generate_correlated_data(N, sigx, rho, seed=1):\n", " \"\"\"\n", " N: length of array of correlated data\n", " sigx: standard deviation of the correlated data\n", " rho: correlation coefficient\n", " seed: seed to be used in random number generation\n", " \"\"\"\n", " sige = np.sqrt(1 - rho**2) * sigx\n", " np.random.seed(seed)\n", " e = np.random.normal(0, sige, N - 1)\n", " x = np.zeros(N)\n", " x[0] = np.random.normal(0, sigx) # first point variance sigx\n", " for j in range(1, len(x)):\n", " x[j] = rho * x[j - 1] + e[j - 1]\n", " return x" ] }, { "cell_type": "markdown", "id": "c2addd59-9d76-4fad-b1ff-237c1157f65b", "metadata": {}, "source": [ "## Generation of synthetic head series (the truth)" ] }, { "cell_type": "markdown", "id": "f932abe4-f890-4114-a7d2-e256b0401757", "metadata": {}, "source": [ "The synthetic head series are generated with a Gamma response function. The response functions are defined below for clarity (alternatively, the response function of Pastas can be used). " ] }, { "cell_type": "code", "execution_count": 3, "id": "c3ceb087-a63e-4420-90c6-3585a3b1116e", "metadata": {}, "outputs": [], "source": [ "def gamma_tmax(A, n, a, cutoff=0.999):\n", " \"\"\"returns time for which step function equals cutoff * A\"\"\"\n", " return gammaincinv(n, cutoff) * a\n", "\n", "\n", "def gamma_step(A, n, a, cutoff=0.999):\n", " \"\"\"\n", " returns gamma step function starting at t=0 with intervals of delt = 1\n", " tmax is the time for which the step function reaches cutoff * A\n", " \"\"\"\n", " tmax = gamma_tmax(A, n, a, cutoff)\n", " t = np.arange(0, tmax, 1)\n", " s = A * gammainc(n, t / a)\n", " return s\n", "\n", "\n", "def gamma_block(A, n, a, cutoff=0.999):\n", " \"\"\"returns the gamma block response starting at t=0 with intervals of delt = 1\"\"\"\n", " s = gamma_step(A, n, a, cutoff)\n", " return np.append(s[0], s[1:] - s[:-1])" ] }, { "cell_type": "markdown", "id": "0769a93e-0362-4968-84f9-b20bde72ff68", "metadata": {}, "source": [ "The Gamma response function requires three input arguments: A, n and a. The true values of the parameters used in this notebook are given below and the response function is drawn. The response function reflects the response to one unit of recharge during one day. For example, if the units of the recharge are mm/d, then the head response is in mm (in response to 1 mm of recharge). If the units of the recharge are m/d, then the head response is in m (in response to 1 m of recharge). " ] }, { "cell_type": "code", "execution_count": 4, "id": "6ff73d31-a015-4e27-a5d3-7ed90f2a1704", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Atrue = 400 # true value of A\n", "ntrue = 1.1 # true value of n\n", "atrue = 100 # true vale of a\n", "dtrue = 20 # base level of heads\n", "ptrue = np.array([Atrue, ntrue, atrue, dtrue]) # array with true parameter values\n", "pnames = [\"A\", \"n\", \"a\", \"d\"] # names of parameters\n", "hblock = gamma_block(Atrue, ntrue, atrue)\n", "tmax = gamma_tmax(Atrue, ntrue, atrue)\n", "plt.plot(hblock)\n", "plt.xlabel(\"Time (days)\")\n", "plt.ylabel(\"Head response\")\n", "plt.title(f\"Gamma block response with tmax={tmax:.0f} d\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "30e1dfd2-801d-431f-931b-09f5c8fd1a9c", "metadata": {}, "source": [ "### Create synthetic observations\n", "Rainfall is used as input series to create a synthetic head series.\n", "The generated head series is purposely not generated with convolution so that it is clear how the head is computed. The computed head at day 1 is the head at the end of day 1 due to rainfall during day 1." ] }, { "cell_type": "code", "execution_count": 5, "id": "b30dc11f-9760-4f19-801e-a0d7d2440a80", "metadata": {}, "outputs": [], "source": [ "def generate_heads(Atrue, ntrue, atrue, dtrue, rain, yearstart, yearend):\n", " \"\"\"yearstart and yearend are strings\"\"\"\n", " step = gamma_block(Atrue, ntrue, atrue)[\n", " 1:\n", " ] # start head computation at end of first day\n", " lenstep = len(step)\n", " h = dtrue * np.ones(len(rain) + lenstep)\n", " for i in range(len(rain)):\n", " h[i : i + lenstep] += rain.iloc[i] * step\n", " head = pd.Series(index=rain.index, data=h[: len(rain)]).loc[yearstart:yearend]\n", " return head" ] }, { "cell_type": "markdown", "id": "5095827c-bd17-47db-9ebc-feea7cd32fbf", "metadata": {}, "source": [ "Synthetic heads are generated for the period 1990 - 2000. Computations start in 1980 as a warm-up period. The series with daily rainfall starts in 1980." ] }, { "cell_type": "code", "execution_count": 6, "id": "32f53cc2-f750-45ab-81c6-235bc22e5b39", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rain = (\n", " pd.read_csv(\"../examples/data/rain_260.csv\", index_col=0, parse_dates=[0]).squeeze()\n", " / 1000\n", ")\n", "head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1999\")\n", "#\n", "plt.figure(figsize=(10, 3))\n", "plt.plot(head, \"k.\", label=\"head\", markersize=1)\n", "plt.legend(loc=0)\n", "plt.ylabel(\"head (m)\")\n", "plt.xlabel(\"time (years)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "8eb98054-48b5-412c-947c-3bd2c64779d2", "metadata": {}, "source": [ "### Synthetic heads that contain no errors.\n", "In this first test, it is demonstrated that Pastas finds the correct parameters back" ] }, { "cell_type": "code", "execution_count": 7, "id": "ebb82d71-32dc-4eb5-9a6b-c94de3e3ad53", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit report None Fit Statistics\n", "====================================================\n", "nfev 10 EVP 100.00\n", "nobs 3652 R2 1.00\n", "noise False RMSE 0.00\n", "tmin 1990-01-01 00:00:00 AICc -226415.94\n", "tmax 1999-12-31 00:00:00 BIC -226391.14\n", "freq D Obj 0.00\n", "freq_obs None ___ \n", "warmup 3650 days 00:00:00 Interp. No\n", "solver LeastSquares weights No\n", "\n", "Parameters (4 optimized)\n", "====================================================\n", " optimal initial vary\n", "rain_A 400.0 217.313623 True\n", "rain_n 1.1 1.000000 True\n", "rain_a 100.0 10.000000 True\n", "constant_d 20.0 20.907717 True\n" ] } ], "source": [ "ml = ps.Model(oseries=head)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve()" ] }, { "cell_type": "markdown", "id": "b4c6a37e-3a17-4e50-bbb5-df69c94f4a05", "metadata": {}, "source": [ "### Synthetic heads that contain uncorrelated errors" ] }, { "cell_type": "markdown", "id": "b38efd84-2568-41c3-9390-2a3f19f55ff9", "metadata": {}, "source": [ "Uncorrelated errors with $\\sigma=0.1$ are added to the synthetic heads." ] }, { "cell_type": "code", "execution_count": 8, "id": "be173697-346c-4a92-a0bb-a0e7c5e0acb9", "metadata": {}, "outputs": [ { "data": { "image/png": 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kE4LOzCfvEVXFvtE5qavxqBF1iRJje4mYonPJ+WpDh4Yw/KCCWLwpkxxPws/ZN1IbEZsIjec3NZx//vnaJJ9ZSsQ2UgQ4tnZBCqK62E7jmxZrvZwr7tRVjje/m/t1ZmW5LlkHIJohtjETzUzqzJkzdSVKd/h/Y6Y4C4IgCEJzgvszXlTw0EMP1ct3MPEM7777rk6/s0lmClzQLAH6HYl8Nt5Mh0T3O+jn3PtB/xiBiYrfU6ZM0VYTFGmiz4sXWZCsBSOI0Ve1IXWU4AQ7uozzBrscRFP8yJjwDZqtEE/GgET/C0JwmpZq0IxgkG/8AFD/vQSsIMvEs1wiMOOBz8H999/vvHbhhRfqQfENN9ygjjjiCPXVV1/phpS0s6CwTjzHEHPI4WebaegxF8UrIJn70BJARGImkBB1M3tICDsh40EFnKBwQ2ZWCnNTDFT5nf0ixBBLCL/Gi4tODMIp5wrGozak3ZK+RyQWs2Ne60N8pUODFwQeDHhpYSzvN8sWzznMzR+vLYRjQsWJrCQizQYvBXwj6GjUx/lHJ4k0V9IR6ZDQ+WN7EBwNXFeIXfwGXBd0pkhFtg3ymUW104qDrDcIzFTjC4KYZjp8zBAijuI3QUeJ69zuKJLiTIQixriCIAiCIMTGFJBCzDHG7PFEzLMMohCii7FlQGQhotyk9tHfQshhojKe9Egv3Mbu+NjSjyLaPkiWQF0yDOIlyH57ZS3U5XjxOxLRx4O+F78bfTn80WJlLQBFnpgwdkewIYjRvwbOF7yZEVDpY/N7MzaIJ1shnowBif4XhDgICS2K4447LnTAAQdEvDZnzpxQZmYmplLOa6+99lpok002CWVkZIT69esXuuOOOyI+s84664TuueeeiNe22GKL0LXXXus8X7RoUWjMmDGhLl26hLKyskLrr79+6JRTTgmtWbOm3vZPaJ1MnDgxNHDgwFBlZWVjb0qL4uGHHw4NHz68sTdDEARBEJpV/5q+rt3f5T2WgXPPPTfUq1ev0HvvvRf6/fff9esdO3YMrVy50ln+tNNO033tqVOnhqZPnx4aNWpUKCcnR3/WcOWVV4Y6d+4cevbZZ0N///136Icffgjdf//9+jnsuuuuEct7wTKs9/zzzw/NnDkz9MILL4TatWsXevTRR3WfivWPHj069Ndff+lt2WabbfR4YcKECRHrcH9PkM96fc5rfOH+vlj7zViD72J8s2zZMqdvmMjx+vrrr0M33XRT6LvvvgvNnTs39Morr+gx06RJkzyP56+//hpKT0+P+C0/++wz/VpJSYnz2r///qv3i22El156KXTiiSeGko3fOcA5Vx/fJwgtEYkQa2EQDeKV7kZ0iNsI022GaWNKGLtnOmxIwcIEVBDqGzw68KpYsGCBjqwTkgMz1ESoCYIgCIIQnGh2IUEi5smyIM2PtEOsEcjeINLIhgh/PKkosoPXFzYYRMzHm1kwZswYHd2PjxlRRPhQEVFOZFSQLIG6ZBgkQqz99spaYKyTyPHidyTlkGh+PHeJDsNfzRREiJW1YNIl2X/b1wvrCr7fFHoisovj3xBI9L8gxEcKqlicnxEEQRAEQRAEQRCaMAhUeAkj+AjJAZ8yPHNJS3QXRfKDyUdSYvlLuifiZzw+tvFA1U5SPvFEEwQhNsGuYkEQBEEQBEEQBEFo5VkLRNiRtRCU448/XvvHEk1HxCDiWH0h0f+CEB8SISYIgiAIgiAIgtDCkAgxQRCE6IggJgiCIAiCIAiCIAiCILQqJGVSEARBEARBEARBEARBaFWIICYIgiAIgiAIgiAIgiC0KkQQEwRBEARBEARBEARBEFoVIogJgiAIgiAIgiAIgiAIrYr0xt6ApkhVVZVauHChys3NVSkpKY29OYIgCIIgCILQogmFQqqgoED16tVLpaY2jTn7efPmqeXLlzf2ZghCi6SsrExlZWU19mYILZQuXbqofv36xVxOBDEPEMP69u1bH7+LIAiCIAiCIAg+zJ8/X/Xp06dJiGEDBw5UxcXFjb0pgtAiSUtLU5WVlY29GUILJTs7W82YMSOmKCaCmAdEhsGcOXNUp06d6ucXagGUl5erKVOmqBEjRqiMjIzG3pwmiRwjOU5yPsk11xSRtkmOkZxLibNgwQI1aNAgHdHkhsim3377TfXu3VuuuTjJz8/XE9KmH97YEBmGGDZ+/HgtjAmCkDwmTZqkrr76arm+hHoBIWz06NG6HRdBLAFMmiQ35Ly8vGT/Pi1qQIXyyjESQUyOkZxLcs01BaRdkuMk55Jcc/UN/Z4xY8aosWPH1op2eOyxxzzFE2mbgtPU7Er4PQcPHtzYmyEILU6wALm+hMZGIsQEQRAEQRAEISD//fefGjduXK3X33zzTTVy5Eg5joIgCILQTGgajpWCIAiCIAiC0Az466+/dAEmN6NGjVJPPfVUo2yTIAiCIAjxI4KYIAiCIAiCIARko4028kzrw1Psf//7n44gEwRBEASh6SOCmCAIgiAIgiAEZPLkyZ6G+kDFtL///luOpSAIgiA0A0QQEwRBEARBEIQAEP116qmn+r5P5Fi7du3kWAqCIAhCM0AEMUEQBEEQBEGog3+Ygcix7bbbTrzEBEEQBKEZIIKYIAiCIAiCIAT0D0tNjd59RhQ75ZRT1HfffSfHVBAEQRCaMCKICYIgCIIgCEIA+vTpox5//HGVlpamMrr0U52Gn66yB+5SazmJFBMEQRCEpk96Y2+AIAiCIAiCIDQnSJvsfvBVKqNjL5U7eD+1IrOtKvxlci1RDL+xtWvXqvbt26uSkpJG215BEARBEGojgpggCIIgCIIgxGGqn965nxbDDO023aOWIGaEszPOOMN5vnz5cnXppZfKsRYEQRCEJoCkTAqCIAiCIAhCHKb6HXY9LuL1Nn02Uentu8f8/GWXXabuvPNOR1z7+OOP9V9BEARB8GLddddV9957b4v5nqaGCGKCIAiCIAiCENBUPyUlRaW2ydHPC35+T5X8+7P+38tLzAsixBDF1llnHbX77rvrv0899ZQcf0EQhFbMs88+qzp06FDrdQq0EJks1A8iiAmCIAiCIAhCQFP92267TaVmZevnxX9OU8Uzv9D/t11vcKBjSIQZohh/zfP//e9/EikmCIIg1KJr164qOzt8zxGSjwhigiAIgiAIghCQiy++WGV36Kr/ryopUKXzftX/Z/UaoFLSM2N3vlNTHTHMUFlZqf7++2/5DYRWyW677abOOeccdckll6hOnTqpHj16qOuuu855/+6771abbbaZateunerbt6/25SssLKwVWTNx4kS18cYba/Hg0EMPVcXFxWrs2LE6Faxjx476O7jWDGVlZeqiiy5SvXv31uvebrvt1CeffNLg+y+0DDifOMe6deum2rRpo3baaScd3QWcV0QXv/vuu2rzzTfX72+//fbqt99+c94/4YQT1Jo1a/RyPMw14E5l5L3HHntMjRw5Up/rAwcOVF999ZW+h3AtcS4PHTpUzZ492/kM/x9wwAGqe/fuKicnR22zzTbqww8/bPBj1BQRQUwQBEEQBEEQAvLkk0+p8pQM/X9lSb6qWLVQVZYWqpT0DNVhlzExP3/55ZdrUcwmLS1NbbjhhhGviceY0JpAuGIg/80336jbb79dXX/99eqDDz7Q73G93H///er333/Xy3300UdaPLNB/GKZl156Sb3//vtaYDjooIPUpEmT9GPcuHFaRHjttdecz5x11llaSOAzv/76qzrssMPU3nvvrb0CBSFeOCdff/11fY7++OOPuk3fa6+91MqVKyMmVO666y4tlBH5tf/++6vy8nItYCF65eXlqUWLFukHYq0fN9xwgxozZoz6+eef1YABA9TRRx+tI425v3z//fe6yjHntwEBed9991VTp05VP/30kz7P+e558+a1+h9aBDFBEARBEARBCAAi1Wlnne1EghEhBmsXzdJ/87Y5UKm0sFjmxxZbbKEuuOACLYIBfxmok45pwFNMPMaE1gRRM9dee6326WOgv/XWW+vBO5x33nlq2LBhOlIG370bb7xRvfLKKxGfR1R45JFH1FZbbaV22WUXHSH2xRdf6Gtpk0020dE0rINCFoAQ8Mwzz6hXX31V7bzzzmqDDTbQAgRRPbwuCPFQVFSkz7877rhD7bPPPvqce+KJJ1Tbtm0jPCI5x4cPH64jHhHOlixZoiZMmKAyMzNV+/btdfQXEZI8iOTyg2iyww8/XPXv31+n4P/777/qmGOO0QIcEWPnnntuRLQj9x0Es0033VRfYwhqnPNvv/12q/+hRRATBEEQBEEQhADoyJHM8CAlVFmuQuWl+v8V7z/gLJPdfwffzzPYOfLII7WpPmmTDMAZyJx00kkRohsGyuIxJrQ2QcymZ8+eaunSpfp/Urv22GMPndqYm5urjj32WLVixQodFWYgdYwBvoHUMAQ0W1TgNbPO6dOn6/RJBAWWMY9PP/00ItVMEILAOYMou+OOOzqvZWRkqG233VbNmDHDeW2HHWruD6QHk+Jrv5/I9cJ5DYhs9mulpaUqPz/fiRDjfoNYRnox5zrfO08ixFS6nOKCIAiCIAiCEBtm1tOy8/T/ldXRYfr//GWq4JfJKneLvVT2Rtur4hmf+a7DCF2ktOCNhJcL6TImQgzRzc9jzI4iE4SWBOKBWzzmOkAwJrrr9NNPVzfddJMWEYj8QkReu3atYzbu9Xm/dRqBgOjMH374wYnWNESLzBGEpoB9bnNe+71mznfEMFKQmYwhlZPINaIo165dq1o7IogJgiAIgiAIQgAQpAZvv5NaZKVLGgp/naIFsbbrD1EqNV2pqopan0cEs2GwcsQRR2iPpFtvvVWniZF64wX+SoLQ2kCw4jrBd8l477nTJROB1EqEZiLGSJkUhLpAdCJpj9OmTdPp7kDEGF5hpPwavv76a9WvXz/9/6pVq9SsWbN01BbwebvoQzJhu44//njtq2cEYcRmQQQxQRAEQRAEQQgE/jC//jlbdR2AIBZORTH0za5SZYWrVFpOR9Wm36aq9N+fA1WYBF4zJuFmZt+Nn1AmCC0ZolkQFh544AFtAs7A/tFHH63zekmVxHMJvzLENgSyZcuWad8y0tH222+/pGy/0DpgwoIoRkzziWJE9KI4BGm9RDP+8ssvejmKRXTu3FmnNF555ZWqS5cu6sADD9TvkeKLUMU5iOcX0Y8mAjIZ0c1vvPGGvoa4x1x99dWe96LWiHiICYIgCC0eqdYmCEIy2hHMi1Pb5OrnVaWFEe/P/vsvVTz7W/1/2w239xTDSPnyE7z8osj8qlAKQmsAYYDU4ttuu00bgj///PPqlltuScq6Mc9HELvwwgu1lxPCBBE9JoJHEOKBKN9DDjlEe9wNHjxYp7lPnjxZdezYMWIZDO+HDBmiFi9erN555x0dGQakzp922mk6apgKlAhqyYJriO3gOxDFMN9nGwWJEBMEoZEGFXikMFshfihCfUN1H2NQzYD08ccfjzCwFgRBCAL3LcSq1LZhQazSFSEGJX99rdMm84aM1I8lL1/lRIrtueeeuvodgpiX6OUXTeZVhVIQWhJ2NTzDm2++6fx//vnn64cNooOBVDAeNtddd51+2Dz77LMRz/Fc+r//+z/9EIS60qZNG3X//ffrhx9UMf3tt99836dSJQ8bd2qj+/5BZJn7td122y3iNZb56KOPIpY588wzo35Pa0EixARBaFCklLzQkEi1NkEQktWWzJw5U/+f1jZsqu/2EIPSueG0GEP3I25UGV3CfjJTpkzRg6GgaSo33HCD9kr66quv1Prrr6+3QRAEQRCEFiKIEe5KZR3K53br1k2Hqf75558RyzCTj8KZl5enZ9RWr14dc73MBrCs/RgwYEA97okgCEEQcUJoaKJVaxMEQYhnIueMM87Qz52USQ9BLFSxVhXP+iritfY7HV3zfoDIMAP+MqTObLfddmr33XfX28C2CIIgCILQAgSxTz/9VIfqUW2BMqAYJo4YMSLCNBQjur333ltdccUVca170KBBatGiRc6D8ryCIDRNcWL27NmNtk1Cy4a0XFOVyubDDz9slO0RBKF5+Q7iJ2RSrg1p2e3136rS2imTsPzdu1XBL5Od5+023lF12f8i7PLj3g4ENCOisQ3/+9//JFJMEAShmWFSGDt06NDYmyK4SFeNyPvvv18rr5tIMcrr4rEApkypV255NNLT01WPHj2SuLWCICRLnIgYWKSl6VLFv/76qxzgACxfvly3h5RoFj+Z2HCMMDA11dsMGFvDHnvsIV52giD4+g56+X2l5XbWfysKVngeudDaErXy/QfUyimPqHUuDvsgtdtkN5U9cBe1+LkL1drFfyV8xE2Eq7T/giAIgtDCPMTWrFmj/1KqNBmRKL169dKeC5TUnTdvXhK2UBCEukAHnjRoRDAQo+D4qyGdcsopOpJWUmeCs/XWW3u+jigmaUiCIERL7fes+JjbRf+tLFge/eBVVajlE+92nqakpKqex92j2g89UmX12yyhAy/VJgVBEAShhUSI2dDxIBpsxx131CV16wJeC0SbUT6XdEkqh+y88866ogN+ZW7Kysr0w5CfHw6BJ4WTh+CNOTZyjPyRY1QbBIh77rlHLVmyRAsV7dq1c6qayLkUfZB2+umn10qd4XgCEQMbbrhhq48a8LrmqKwTraobx5IBMMeytURdSNskx0jOJW8+++wzT9N704akZGSptOoqkxX5YUGMPubnn3/uub6i36nqFVJdRl7ovNZh59H677x7DlehtcVx/RQ33nij6t69e4u8X7bEfRIEQRCaNk1GEMNLDMEqGV5f++yzj/P/5ptvrgUyoimo1HPSSSd5mvt7ldvFOyI7O7vO29PSwf9NkGMU9Fx56KGHPAcaxqxY8Gb69Ome/msXXHCBeuutt8IDterjOHz48FZ/GN3t0vbbb68rtfnBseVYusu2t3Sk/ZZjJOdS7HsUqf5Uh0Qsy+o1wEmXNGLW/vvvrx/0G997771any/5+1tVvmK+yujcN+L1doOGqcKf3o3rJ1ixYoWaNGmSaongGywIgiAIrU4QO+uss9TEiRN1R6M+Zucxr+vfv79vVbHLL79cD4TsCLG+ffuqYcOGqc6dwz4RgvdMHp1HBt8ZGRlyiOQYRY1uQox4+OGHPd9HzHnkkUfUueeeq6N5hNog7l977bURohiDtLffftuJfOLvo48+qi688MJmE+nEuWGi22JFutnL+u2fV7vE57755puY2/LOO++ou+++u9kcu7og7bccIzmXIqGdOPjggz1TFPEgZPIU0tt3C19DS+c4y2y11VZq1113VYceeqj2xHRHo1aVFamFT56uq1P2Pu0plZoVnmztPOJ0lZadp9Z89apOrwwCE7z77ruvaomYDA1BEARBaBWCGB2Gs88+W02YMEGbRK+33nr18j2FhYW6it2xxx7r+X5WVpZ+uGEwJUJPbOQ4yTEKak4cDd6fO3euNjgXakP7iGh42mmnOdFgDL6IfHVHjXEc66s9NQNHfBr5reoiHrmNq8HsG6IeAqlZv70sQiBedF4Rv3a7RFou27ls2bKY5585dqTb49PWGkQxkPZbjpGcS2FI3fdqJxC4jBgGqe066r+VRascwWzAgAHOteSXmg1VpQVq/r2Ha2Gs77kv6tc67HSMqiotVAU/vBOxLKmZKRltVVXx6ojXSZdsqX3TlrpfgiAIQtMltbHTJMePH69eeOEF7e21ePFi/SgpKXGW4fnPP//sRHeRNsTzlStXOstQJezBBx90nl900UXq008/1Z2bL7/8Uh100EG6w3LUUUc18B4KQuskWrl6PxA5GHgIwWDQ5RbDzHE00Vb1AcIUEQp1NaP3Mq62I93uvPNOvf477rhD76e9rPFPYx1+3HXXXc52HnnkkY7gFovrr79e9evXL+H9EgShedyf3O2H32TMrFmzIp6ntQsXfqosDPdDqWJrBHQE+CAgjFXkL3OeZ2+8Y61luh91q+pzxjMqe+CuEa//8ssvvvsgCIIgCEIzEsSIdqCy5G677aZ69uzpPF5++WVnGdJ/CEVnxh522WUX/Zw0IQPRX8uX11T6oYOA+IWp/uGHH67THr/++mvVtWvXBt5DQWh92IIJ/n1BxDAgVQXhWzr43nBcTHRYNHh/8uTJqj5wi1hBhCk/GDgGiRokVemII47w9E/zS4Mn6phUeC+xLQgsa/ZLBp6C0HyIdb1GE/QRtegzxiI9t3NEhJhdxTaeCOeVk2u8yrL6bKLScmosOvg/q+dGKiUtQ3UddbHK7Nk/ojouor1UyBUEQRCEZi6ImUGK+2GbGl933XUxlyESjOUML730klq4cKGuHEmniOcSeSIITaNcvR+vvfaaGjFihDNIESEiEqJdgxxPluE3qA9h0UvEiiZMRYOBI9FsicJnqVDqhv0eO3asqivsFwPPZETDCYJQ/5ioUr/rNYigj7UG6Yyd9j5bZfX1rnhuxKm1S+fo7AM7IhdRjSyFIJT8872ae9tIVfrfHyolJVX1OXOsytlib/1eapuciGVzh+wf8dxdbVgmkgRBEAShGQpigiC0LIJE/cSCzxMRKkJE3Y7hfffdp5KNl4jlHhAGhYEjPmB12UcqR7oHvYmIc34QoZyMaDhBEOoXUqsvvvjiWtcrafsmYsxP0Kfgi0nxJz2y/Q6Hq9wt9lI9jr41ImpLk5Kq0tp10P9WrFqozj///Fp+g3gfBk3RhuIZnzn/d977LJWSma1SsyLF/rYbbKNUaprn5xOdlBAEQRAEQQQxQRCSSF2jfuzZbxEiIhk6dGhcx/Cee+6JKt4kEoFnRCxEMODvY489lrABPZUzvQh6DnGOuKPhEOfiGYzGgww8BaHpwfV/6aWXel6vpO2biLHvv/++VttCW4HHIMtsu+22upiHnZ6Ys8WIiOVT2+aplNQ0FQpVqaqSfC1+uaE9vO222wJvf9HMz1VlSUGEn1ibdbfQ/5ct/ltVFq9RaW1yVFbvTTw/n+ikhCAIgiAIjVxlUhCEloURTJiZZzDC4GP48OHqgw8+qFPkmJnFP+yww1RLIJEqjSyHefNll10Wl3jjtf54Kzba7LXXXroQCgPJHXbYoU7VGD///HPP16+++mrtLckAlv1lX/xgHxjEYqLPtvAYM2ZMrbTJrgdfrbI32k6t+vhplf/tGyolo43K3mh7VTLnR5W3/aGq3cY7qaWvXafKl8/z/S4ZeApC04O21C+d3E4txFcQocq0KbR99uSLIbPbus7/7TbdQ62Z9pL+v+OwE1Vm93Dhl6rifKVCVdqv0avtJFoNj1zSrmNRVbxGLXzsZJW33SE6Oq3LvudGmO+XLPtX5Wy2p26/yuZPr/V529Q/mVWAhRomTZqkZsyYIYdEEJLItGnT5PoS6o05c+YEXlYEMUEQkgqDA0QTUvbuvvtuT4P39kOPVBld11Er3ntAhdYWR7xnBinuAQ6z+Pn5+YGFm6ZKXcSovn37Bv4ev2qTXj46POc3izV4qsu2e7FixQrP17t37663nYIpQYRUqlDiQcf2EOnhTh8iqoPBpBnUFv7+kep71nj9vHzFfyqjcx9HNFv4eLiAixcUa5EBpiA0zcjkWG0FIhgG+PjO0kYgcJxxxhkRy6TldXXSFavKy1RGhx6qzfpDVFav/ipv24NqlmvXwSm+4dd2UgE9iCCmv6usSBX+MlkLYjYpqemq+K+vtSCWt82Bas03r6mqotURy9im/nYbzaQFkwVEsUm7lRh4ETMRwiSNIAjJh7Zbri+hvqD9ph2PhQhigiDUC4hhXgMUBhwddh6t/y9fNlet+TI8+37FFVeoYcOGqfbt22uBg4gfWxQznjBBhJumip+pc1AxylTbDYJfxISXj47xHMOHpz623W99N998s+d7DFJ5MKALWpjBeM+B+zPp7btHPDdiGBgxTP/fsadK79BDVaxe7Pkdzz//vI5c8xIBTVRGTk6OKiwslOgMQWjgyOSTTz456nK0JwjtJpJ06dKltZbBUB8qClao0jk/qpzNh6vuh9UUbTIQWRorEjeoUGeoWLNE3w+ZMHK2J6ud3g5Dr5MeUf89NEapyvLw+6mpej9ofxYtWqTbQNP+8ZdCA9yL6zp50VrJysrSv/H48ePVwIEDG3tzBKHFRV4ihsn1JdQHTHqNHj1at+OxEEFMEISGM9dPy1B9Tn/GeYowVvjrFFVZuFK99957qqSkRAszfgOIaIOP5kC0Ko3R9smIUfFU7WRZr/UySPMSmvAcixZJkOi2+xHE9D+e/Y22fGaP4P46vf/3pJp/7xE6YsNr/V4ioB2VYUhGBJ0gCCpmKiCvY4gfC65fRCPzWXwZ3W1hSnpmeNnKclXw83taELNZ/cXzKiUtQxX8+G7MNGoj1Lnbhmis/ny89g1Lz+2icgfvp1Z9+qwKVaxVyybcrLoedIVKa5urcrfcRxX88LazT0cccUTUyQMTBYxn4zbbbBNoO4RIEMMGDx4sh0UQkohJQ5brS2hspMqkIAhJhygZN532OlOtc9GEWq93OSBshvzTTz9pUSbawKG5ezjhiZXIPiVSvdNvvQzS8HWL1zA+mRUmGcASARiTtAzV9aArVZcDL1cqLfH5m8yu6+i/BT9NUhUFy53Xl7x0pU5HYsBZ+OsHzus9jr0rpp+dvS9eA16pSikIyQPR2avyMH/79euni3sEAZN9PmPEtdtvvz3i/ZT0DP03VFGm1i6apZa/c6fzXtEfn6g1015Uqz97TlUWrtDtYayiIgjic+fOVRdddFFEsQ/+P+644zwLiJT89bUq+HGiWvjk6U50WPGsL1X+t+H7J6mTSoXXZUeDJVKVVxAEQRBaOyKICYKQVBhovPPOOxGvZfYaoGe1bcoWzNR/2/QZpNI79Iy5XgYQdalo2NjHhDRQL0N8Y4gcreqjLUYR7WTSeiBnq31V7tYHRCwfrfoj66fIQVDPsfqoMOlngp1O+mJKzW0pq8eGKrv/DqrdxjuqvCH7x/UdWb0Hqk4jzlBpuV1UVr/N9Gtli2apBQ8frxY+daZa9vbtqnTuL2rZm7foFKSVHz0ZkUZpPuMFfnZmYBlNrEQ8e/XVV+Oq5CkIQrB0baLCEomcJbXSiGtUp0QkqxUhVhFOSSz641NVOv93/X/x3986yw0aNEgLXUEiQGkjSUfHExFhjKIk8+bNU88++6xeB/sShNVfhFO909t3U5k9N1LxYtLKr7nmmkARdYIgCILQGhBBTGixRBMYhPoBvxJm62+44YaI13seWzPLDgufOkMtHn+R48PSbpNdAwlipKo118gG0lq8hBMMkf2iH+wB1T777KMye22seh53r+p77ouqx5i7dQW0ziPOUJ32OEXlbXuwszzLkh5jwwAILxnESq8BJK95FUCwYfCHITXXFX8TTQe0Bb6UzLY62gFhr/fJj6rOe58dYYZvyB08MkIsi0WXkReq3K32Vb1OflRldglHiFWsDLcF5cvnquIZn4UXrKpUVaWFKlRWpObdc7gqXRAO4e9x1C1qnUsnRmyDV/SXSUH144ILLvD8TQVBCIZfuvYXX3yRcPViW1z75ptvnNdT0owgtrb6lZBa+uq1atHY8502Y//991dHH320+vLLL+PqX9CO77TTTurQQw91JhL4++ijj6r99tsv5udD5WU6Sg2yN94xjr211hEK6fvztttuq44//viE1iEIgiAILQkRxIQWSSyBQUg+zIBTat4ttpgZdyiZ/b1a8Pipqnz5PP28aMbn+m/bjbaPuX4GLtFS+pqiCOuXTmfz4YcfekY/2OvAyP3dd99VbdfdyvlcVs/+qst+5zvP83Y43IkcmzhxYsSAh788p+KYMat3w+/GdhDJFmuQF6+3l1+0WdveA1Xfc19S3Y+8UeUM2l2/h2ePjhRzCWIY469zyduq4x7RCwu03XBbLWRhjq/XkdnGea9s4azo+7W2WK354vmI1zrsMsZz2VgppjaSPik0JZrbZJFfujbiUjQxOhFqUibDEWL6//JStXbxX85zJhWuvPJKPcnBBFBd+xfcO2nfg1D05zT9t/12h6j0jr3q9L1jx46VSDFBEASh1RNYEMvPzw/8EISmmF7RXDr/zRGOLaknXnQ5oCZNcOmEG1XFqoXO85LZ36pQqEqnxpHaFo2m7h/mJcIG8f665ZZbfM3qWUffvn3Vp59+ql9vu/7WvutJa5Oj8rariRIzAx7ScvhrE818mUGeLSLbg+d4hGb7c15C4cyZM1XWBtuqlNQ01WadLVRW7wHOZ3O3CkdLYCDtJm/rA1T7HY7w/d4OOx/r+frqaS8qFYodTVL6789qdXXlU2i7Ace89qCbAXq7du180z/rIqAJQn3RHCeL/NK1MYi/7bbbnOXabrCNvv7bbban6n70bZ7RnbHI6NRb/60qKwy0vCm0kWj/Itq904vSf35w/u9+9K267UxJj11By49p08ICmyAIgiC0VgILYh06dFAdO3YM9BCExiRaNTyhbh5YjzzyiGcEUTRRICwoVJepr6yIeK+qeI0qq05RI7InGpTObSr+YbEiwYwIO3Xq1Jjr8hPMCgsL9TprSFGZ3dfX/+F7VbW2xHlnxfsP6r85m+2pVGqk+fybb74Z9/6Z7ScF1gyeiYTAfyaI0GwPuvkcDzMAJ1qN56w7LaeT5/e3G7CTTo80A9rC3z9WFWuWOu+33/FI78FuapqOJDMYE2qoLFodeP/XfD5ezb3zIFVVVqyrvZGq6mdSTaEEL2PseD3aBKG+4Vp1X8O0MU1xssjdxvqlaxOVbDy4uh16rWo/9AjVZd/zVJu+g1Tnvc6K6zvT2nVUHXY6Rv9fsbJm4iYWdelfBBXUDboAyG8f6f/Tczqp7kfepPpd+LrK2/aQuFLKDTvumFjqpSAIgiC0FALfPemEfPTRR/rx9NNPq27duqlLLrlETZgwQT/4v3v37vo9QWhMklkNT1BOlBKRQ6Tb8ZfnDETMYMXrmIcPfIZKqe6kL387spqXoeSvsFFx9oYYG/unv4wbN65JDNxskShaJBiDJKK/3LhTfPxSftzrRDwi/TRUVamKZ32lFjx6kqooWKHWLp+nCqd/qP9nQJe98dCI9Rx4IBXJ4oftJ3LBbAODNvfAzWsg6BYH7c/xGtFq+nlKqmq7nncZe/ajTb/NVEbnvvo5KbYLHj9F/ffIiWrt0jkqJS3D03cuvWNPlZqVrYWsubePUqs+fkqb5+f/8I7jvRP8AJSr4r/D3kLtBu7suQj7c/nll+solViiGL5u/KZN4RwWWid4XrmvYc5hu2pqU45iY0KE9HH3xMgGG2ygcnXlxUja9t9epVdHfMUkJVX1Pr2m/1r424eBt7cuYrdXReZYrHj3blX8V43vGXQcdoJqN2iY5/L0f5588kl12GGHRbxOlUui7ARBEAShNRNYENt1112dx3PPPafNmRnsjRo1Sj/4n4HiM888U79bLAgxSGY1vGSwfPly9cknnzTLgTDbTEWuaMIQgxX3MTekdwhH64Sqjcu9MKJD2/WHqHUufUf1PmOsytv+MNXlgEtVh12Pc2a9Gbjdd999jeqBY3zS3FFSDGrcggjPvaK/WN4WwRigukUxPusWGTN79td/K/OX6dS/qpJ8tfDxU9WiZ85WqqpCFU4PV4600wkxb+Y3CmLY7MZv+234vUkbtH+LIGmi+rO5XVRaTkft1bPqk2ed141w1X6Hw1X2RtvplNoSzpGqSlWZv1QV/hI2/qeggJv0vG76b8WaJU56JEbYqz58TJvmx0txtcdd9sY7+Yq1iIIURqBaXLSiD3gENac0NUFoDpYHvE71XqrKumEypueYe/Q9pd0mu+nX8N3yikwlHR2h3aRXV6xcEHibKZyRaP+CSOBYcH/As8ym4MeJtZbL2XyE5+dffPFF/ff11193Xrviiit0On1TY8GC4MddEARBEBrNVJ/ZRAYAbnjt229rylILQmORrGp40QgiyiAQk6IyYsSIZjkQJqIgGvZghWN86623Rog7HXc7Uf+1fcPcUPmv3Bp8pOd2Vh13PU61G7Czar/9Yarz3jVpL/fcc49nhFZD4Of1giDCOeYWYQ8+ONLPy0BFMS9sMZHjesABB+h1GFGMFCBYr0OGeuCBB/T/oYoyLRRBwfdv63SazK7rqIyu66mePXuqN954Qx8nL8NmUgs77X22yuw1wHNb+C3dIh+/rXmNZUhjJW3Q/i2CRjwghunjV7RSFfzwtk6LzP/+bVXwc1jwwhvHRIeZIgxQ9MenWkTDd479jNinvK76b0XBcpUMSv79UQu5nJNeA2539OkHH4RFyWg05TQ1oWUzdOhQzwjVHXbYockY7ftF27766que26aXVymqTd9N9fPFL1yulr72f2rJq9fp50SMcv122f8ildVvM9XrlEdVnzOfq5UGTXQplC3+u1ZhjWjQHp577rkqUXyjqy1uv/12deONNzqpoVA69xdVOm+6Kls404kWy+ozUEfXek3KuYu7ENXa2L+1wZx73NsHDQrf5wRBEAShSQtipEs98cQTtV4nJJv3BKEp4Jde0VDGxHTyTj/99Ih0sZZo7m/S5oxgZKfkZFf7gpXM+anW5xgEHHNM2K+lbOGfvutvt8kwlZrVzvku0rMbo2BCNK+XI488Uv9FGMNjDcEKMcoP93p4fsMNN0QMVtm31157zdlX4421/I9p6uyzz661TiLGqOJpPLgWLVrkG6nFunqf9pTK3WIv1fPYO2sNoq6//nq9LfZ28hxh17zGb0G0sPu3mDNnju9+2wO/tOwO4fUUrdZC3oqJd6lVUx9XZf/9rioLV9XsV3FkoZaq0gJVPDs88dJuUDjqw1lntSCmo+iSQWWFKv7ra/1vtkfaJMfERJ8GjYxzRzsKQkPBeUrfzVyH/OX55MmTkzbJEI+w5rUsnnx+UVhe24YAT2RoWnZ7FaosV2ULZ6iS2d+p0n++r3Vf6bLfBU4KfyerWm3ukFHO87L//gi8r4jhTITUpY/hF11t2hfEsIsuukg/v+qqq2ra0FCVWvLi5WrxuIvUsjdu0MIY+9a2/w611oPVgZ+vqtdv0JDiqN2X8qpSLQiCIAhNUhAjSoMB32abbabTqXhsvvnm+jXeE1oXTWVmuamldLQEc38iCgwpGW18q+0tXbpUz2Cb/c3oso5qt9lwZ5n872rMzfW6UlJ0mosx9C34/i2dVlnyzw+qbOEsZzntF5WeobIxWa8miI9VfcBMvp/fl4n6eemll7Q45jUAiQUpLNEGA0Q6wLy//cXDoj+/0H+zB3h7XhlytohM7ety4OURz0nPcQ9O+H/y5Cm1XnP/FnYUmZsIT7TssCl+ZfGayIVCVar4rxpPo1CosvZ+/h5Oq9Q+YpaRNAb4UJEsQYzvmll9TDfesZZpNftv0iQZmNvnR1bvTVRWddSKF9gOeBWoEIT6hEhe0nu5Z5s0X7fRPs+/++67uNdNRHRQYc1rUonv5L7gh9e9lpTD1DbhqNTKolURhVuWT7xLVZbkh1OorQhSyOo1QGV0W19f0532rCleUlm4ItC+UmAmWdHndkQ7WRa0CzzmzZun22FbPCNy14viP8PVItuR3h3QXP/DDz+M+A2MJUAi4mgi/UB3X0oQhOCQ8kzBO0EQGkkQ23ffffVgH++wlStX6sf++++vZs2apd8TWg+kCJEu1Jq8cYIKXS3B3J8OOLPTOZsPV33Pf0V1O+w6XcnPLQpgtE+kDGT3H6p6nfSQ6rLvuY7g4Y7Y4TM333yzFo5g7ZLZauET/1PL3rpVrf5srH6NdJCi3z/W/7cbtLvvNjbUMSXiKhqcE3b0WrJJycjSf0Plpb7LEBlBtFVGp14qo+u6vsulZrePEKPa9NlEpXfqE/P7e55wv+p16uMqtV0H39+C9Cu/QVvENlRXiSSyzU1RtXeX/r+6oppNyT/fqUqdythFrXPJ22qdSyfqdCjjDRR0UBuE0n9/DlebzOmk+l3wmlJpkVU8ifSi3dtuO/zOQrrKZ9dDr1U9Rt+uehx9q+P95obzhOumtbSbQtOMnvYy2uc553M85yVpeUREB4ne9ZpUQoTbdtttY7af7nutvs+2CUcQV5VG+gSSqv/fA6N1AZLS+b/VWheCenqHHjX7TcGSamEpFgMGDEhq9Ln5TTC5x/yeh3v9HDe/CLriP8P2Bm3W2Vy3iR33PC2mMIb3r/0bcP8ibdHvN/SqrmxSHRMR0eKJqhUEIRL6D4y7kw22SPTlEvGeFZouTOIQvJSXl6cf9NXfe+895/3Zs2ergw46SHXt2lW/f/jhh6slS8KTSW7KysrUlltuqSeBf/7550DfT7+C4lJ85s0334x4j9fcDwIMmrwgBtyob7rpJp0WxIP/JV2ydUFn6OGHH26U9LXGJKjQxTVCA2R7LjWmuX+iUEijbX+8Z1K18X3OZntGvB8xmEpNU10PuiLy/cryQN9TsXqxCq0t0d4oC585Wy176zZVNONTbaqOf1Zabs3svqGhjmmE4BGF+kz3CEfoRRfEOH5E2TkRTT6EK3oqtfqL5x3/GUTPaOQOHqkyu62nMjr20t5ubjjPzW/h5THpJ4gRweGmbP50tezNW9SSV691RNFaqYyugWuPo25xouiq1paopFFVoYpmhgU6qnwi+LojvRjMm9+e6pjZG9RUbsvb7pDoq28l7abQvCKyOZ/jOS+9UrQRr7wqWHoJIUHbTve9lvZmq23D16Rn4Zbq4hprpoWN5c0EDLQbuIvK6NKverFKtfj5S/V9KN5taAi4B/Xr109HjnlBFJyOkKsmb8jICP9NL4KIUUaAdEf0HX/88RGpjon0A6NFXQtCa2bt2rUxl2nbtq3q1i1cSCiZcK1jy/HZZ5+phQv9/X+F5oWJMP7hhx/0xAptN17Fv//+uyoqKtKWKLTHH330kZo2bZo+Bwl28rpPMHnSq1evuL7/3nvvjdreE2FOP8I8DjywduXoJimIQXFxsZo5c6b69ddfIx6tlZaSOhh0P+gkNVb6WmM3Kscee2zEa5iLe4kyJ5xwgvYHIZKuvsz965tx48Y5fk9OFUNXlIyh7XqDa722dsk/cX9n+dI5qqp4taosWKHK5v/uDF4MNKqIjS+88ELUyn7JwEQz1EXsIgoBQa/jnv9Tnfc5R6nqambR2HvvvZ3/u4y6RGVWR3xVlZdF/VzxrHCkQPbGkcINZPbYSPU9/1WVVh3hVVVSoAp/naL/zyEKzxX9Z0jJzFYddzshQhyzIysMdvpgLEzKpNsjzAjICF6l1eKeF+40XJMGBSHXMWKdtjhtv/7OO+/EHJSt+Xy8879bEKazYJ8bVLFzi48mIs+P1tBuCg3jXZkMo323oBWkP0ARD69UaVLI3dsZxEjeDxN9araJx/RZ4XtMVZRKsky0cC9C+Fr5wSN6WVIoc6pT+4tnfq7WLpwZUdXR+Hq5i4k09MRW0HuQ8Ts0UIk3Lbez/p+o3s77XVBL0I+FqSTsjugbO3asr6AWtD3jGO68c/T0fkFoDRAdetZZZ6nzzjtPdenSRfelmGzDmojrj4ATMirsqrTulMnrrrtOR+3QZ1933XVV+/btdftbUFAQeDtY/8svv6yjfYkQa4qVaIXEQNwii4/7b//+/XUgE331r7/+WgtgjFH5vTnneNDGI5whkNkQVTZlyhQdGRwUosjuuusu9fTTT/suw7nco0cP59GmTTgIoKFIqEeybNkyNXLkSJWbm6srwmy11VYRj9ZIfXRUm/p+0EjH83pLgc4pNxyb8ePH+w4YuLkRZdXcIsOAfWJG2lQEhPT23XzLu7dZN3z9F/z4rlrwxP9U4fQP1aoPw6mUiUJVQWi3SY0gRufgzDPP1CHjzJozQ11fQnRd0zo4JqQZ9jnjGZU3ZH997Na5aILK6By9AMn777/vGODbYmBVdZojIiw3ODfFf3+ro/Iyu6yjcrba1/lNUtvkqi4jL1SpmW2dZUv++V4/iCzgN2673hDPbcnquZHzPxFdKalpKndI5HdzjEwlOLvT5kdq2/a1UiYZeF5++eWBogYqVvynCn5+T0eDFbmixWxBjIEsovRpp51WqxIoz7mXUXEtGhwf0q6gzbpbOub9EaRl6OIEGdXV6tZ8+4Y29U5JSw97nVVDSLpX9c4gESctZdJFqD/vynjhvoRxux8MqIL0B3766SdPwcZrO/lOqtMmAikcdh+FlOXUTJMyGb3dWfLK1WrR2PNU2YKZqnhWOHIte6NwtGz5isjjuN566zm+Xnh5Gd+1xpjYCnoPWvXx07pS76Jnz1Wl83/X7bTxi8wbvL/K2XR3HcGdVu21GAvaSNIqmTSI5x4YNIKOc4IoFEEQlBYgMjMztThBNXL6Cffff7+O4OE9hAkic6JB2hvpaBMnTtSPTz/9NJCFhYH+PungG2+8se5jImBIoYuWB5MWpCQSGUbqZFlZme6HZmWFrVkAQYpz8Isvwj665v5LRgRj4OzscEZGkOCpo48+Wj300ENa6PKDMR3jZawTGuO8S0gQQ8FevXq1+uabb3TIJgM3LlZUx7ffflu1Nuqro9rU94MLKZ7XWwotwSw/nn3FSN9EiK35Kpyu0XnEGU4Kn42pBkn6RsXKBWrFpHsdQ+NEIVIoVFmhMrtv4PhcMUAxvwGNpvEwqQ8hui7RDHi4dBl1sVPZzKbjsGCDqvROvZ3/ERorVi9yZhRJWXZvW6isSJX8+7PzO3U/4gaV1WeQFsMyOteIsohIpFiqqkrHpD53K28PSGNazSBr+TvhWaGcTfdwfM3cleCYVYomaq2//vo1fl+WIGa85bxuhF7rWzn5ITX/3iPUyvfu1z5fznoqagQxbsJmAGubV9sDWwRVDKXt6nt459nVPDmPOa78lux75Malqp7H36f6nDVO5W0TDvMm9arwt6nVx6omqmzChAm1BDj2lwpyrWHSpTnQFIXHRO87sfaF88g2bncT1BOMtsivA+veTszz8S5LBKIm7G1i1jmtXfuoghiTJvr94jU6+hiKZkQKMeUr/6uVLgrGa60+q1Yn6x5Ee06lXlJCi6rbnrytD9T3ZVOlGNrvcLj1qRQ9WeKGCQQG0lSOpgJyUNhORDSv48Tvzu9nCjaE+xeCIJjrnMkJxCgejLWHDRumo72471O4yi9l2kCbSJTPpptuqqMvyWaZOjXcFgSB+wFCmMlSWLNmjRbVhJbB9OnTdVQYwhdtPP3RTTbZRE9QEcxCe4+AxTiePjD3buOfzH2RVHk+F8QWxXD++efrSHTSM/2gsj3nNtlUhxxyiI6GpFBjQ5LQKA+VmpsaB4SbH51zLiAuZG6ErY2WIpDEux/MALoHqc3NND4RWoJZfhAY5GhzzdxOOsqFVJM1X7/qCBgddg7fNG1SMtsk3cOpqrRAlcz5sVaUWK3l6kmIdlf2arvBtqpttQdXLPCPSqv2ynJDpJGfOb0Nnl1GwCLVx2AGbF6zf/nfvBG5HdscqNpuUHMDI3XIXheRVvy+LIPw6E6XNH5kpBmVzvlJla9aqEWy7AG7eP4OVIqjaqYX3Bj/mTtPZfXYsFbKJO1JtFkhO7qL+w037BQV0ttV9EdY1HOff0OGREa9+Q1sWZddfQ+BjNlZzK3dBv/ZVsSe3p7cziqz2ovIgCBWPOMzFaooV5nd11cZXddz3iPV1w2TSn6V/bwmK3jelASblgDH066yt8EGG+gOY3O977hFVM5ptyk6VcIh1UqL98OvP/Dggw/GvG7t7fz885qiGfHi5T2Wlhf20alYs9TzM/Pnz/dMobQr3LojxJpSH462yo5uDQLR2eUr5mtfxZwt93ZSJ6HdJrs5E1pdD71G9Tnn+Vr3NOMNFmSWnu1iedpv0/67BXsGUsz8X3jhhfovz93nNJM/3Y64KfA+CkJLwt1XoQrsHnvsoXr37q0zshC3VqxYoQULPxDPWNZOZacKfBD+/PNPXeX2qKOO0s/T09N1FoZMvrUcEFpJXySgibTY4447Tv3xxx/aSJ8MD6KBEcxItyXwafDgwU4bjUBF+i1ZHEEhSArNCP+waFx99dVqxx131FmGiHJEQtJfafKCGMqhMfLr2LGjTqEEck5//DE8cG0NmJlXTp6WIJDE2+Gmk4aKaw9Sm6NpfF07pxwzLmAExZYyQDUGvviotFk37AtWvuxfPQNd+FO4Kkm7zfasFSVm0vGiGb8Hxfi4AMKC/s6Bu0X9TH0NYsxsCP5Q3Q69RnU75Gpd2RBPrmi03XBb53+i3IAIq9IFM7TIaPxrgkSIUTHNa1+9ZmowpTcpQZDdfwfnf6KcFr94uaoqWq2fU3WGdRfP/ML5XQ1dD75a9Tv/FSdlM+zRE1KFv0zWz/O2PdCzkhmDIq4Td9QVHhlEhtjpomuX1njMRRt88d6LL77oRHfRaWNixnym4KdJOlW0fNUiVbFqUUIRq15iGbNW5557ruPRowWuLv1URpd1nGXS29cOAy/773cdsVI8+1v9vNeJDzhRcaSXeUGqRNDJCp4zYywkt82zq+xxbiFUEoXU1O47se63XiIqnUw7wpDOrxFI+p49XntMxcLdH+B77rnnnqjtuHs7k+0bZfwMK9YsjvD74i9GwZ7tSlWlKp1X43nrbl/5bFPqw5noVtq8QISqVP63bzi/L6K8AZHMTHJQAISoV10Mp7ot59yiamgsOEa0j0SSMOgxx9kI9vg28j6pW1xHNjwn8sCOls3b9uCI9HxBaE3YdjNc69g50D97/fXXtRE60e6xDPczMiL9aY1IHQTuCRUVFdosHTGMB9cw30+kmND8ISWX+xriKwFMW2yxhbYdAO6VpNwioNL+kxa5YMECndEBtPEESRBdxrlh7o+MQRDWvOAzrBN/MHNOAVFg9LX9oIgZfQtSOZu0IIbCiJIMHEw6Oxw0cp5Ro4PCj0GJadRsBDYqCpj1GugActAoAcqFjWIZBBoOlHJyYDmwqN7JxJ55Zf3uBsfPZL25CT3MHtNpplPjJfYMHz5cD9Yay1ujsdJf2E8iczhG/PakeXEu4G1lRJzmuo+sw66al9U7bFReMjtc7n315+NV+cqFKq1Njmo3aFjEZ1OqBbGqtf6CmG1OTCPqlwrC99O+GCGiqrxUZXTqFVWEcg9iknVcjFjsrtzY87h7dCfeDWbG3Uffodr0HqifL3/3bjX/viPUfw8fpyOZCn8Oi4phf5cUHS2G4b6pvOgVIeYesBmx2i+dZtmEm9Tc20bqNEebpS9fpdMqDaYQiknvw+csvXMf/Vsafx1D+dJ/nWVDFWu1T1mbdTb3PGbMPjFhYqKumFUyHTojiJX+97sjnsbyDWMf8TowgpVbJEKwXfDYqWrxuAudynLJmpgwHdXQ2mLtuaZfG7hzLcERAWzZhJvV3DsPdHzMiqs98KDT3jUpmF4wQxZPNTbuvfEYmwqJmZYT7diYkx2mHcNo2SvlN17fKV6njSe1GdptFk4BxmOqzfrRUyFIi3Z/Tywhe9WqmuqHEE8/MRZMypjoTF2pOBTS3igcI8yCScHwo+CHifpv+coFuj2zQahpan04toeI1aAp/MV/fhn2k+y2nmNnYGwPuux3vup50sPOsviNmQkcBK7OnWsiyvwgYoV+9rvvvut5jjFhSoSJl9clIDTbnkheEwuC0BpBADMp4aSzYYJenxUfEcKee+45/X1EEJnHL7/8ogUyJiOFlgfnmFt06tKlixawELMQx0aNGqVfJ2OC88GcG5MmTdKvU4QBg34viBZmjGGfU8AkGlUl/WA5xg+2p1mTFMSYLTc5pddee62uOMDMKgcLYSAo5CVjomY6LeXl5VqhtGf0CQ3l5uyXfuMFPw6dNraNiDUG1XQkg4aNxsI98+rVGYxmst6UMbOQpA+xXwy4TKeG39gdOouKTJQKg046a03Fe8Vsh/GWSrbvDusnKsxrwME1cPjhtkdH/ZJsbyFmC+xzOqtagDKl6okQKvgp3AF2RzhRtQsqi1Z6rhuBguvdDOjwOkAwYXDmxk6fQzQp+esb/X+nEWc4nXs39u+RzOMyefJkvS0UFHDTfqejawlZDDaMGGbScxBIqJoJxTOnafEko0MPLYZ13vtsLUTx1y9CDBHSPjbGpyVWOk3hL2FzfihbNMt3H0v//dkRMnuf/Khq6xoYE+FW/Gc4iozoMqc6peWP5cb8rqQCcsM0v2eGiXpbuaBm/TFSc2jT7QGqlxBYWbAswqQf0bqug1qudTsttWjm57XSJtOrTaqp8KmrfFZHA+rXZtekQbZdZ0uVku59g+c8ZYLIC/aBVCMvaIdMtb2m0PY2R2KZlnNuMjPaGLjbMdoiIwq7f3P7eSzfKfYJ41rarrbVhTegw45HRt0e0irs1N4g/lbmHDWYGen2Q49UPU98qFYKsoOOWErRExEmLdIN3lgp6ZmqsrRQlS+fp9tBI5xT3CNau0IU56JxF6klL1/tvMa+mHTspohp74OIYkT0lvwTmbVh7t3gTvPOGxIe+CBwUVTAQGRr3raH6KIh7n6uiTJMBCZaIyr0WmmdgtCaYUzFmJg0tX/++UdH6xB0Ul8QxcnEBWNA/MfsB9E8kjbZ/GFSmiImjL3wEuP5J598oo455hj9PgIV4zMiumjbmXzB/4sgKEADsM8LRFrAWsL0swmOoiiDCULCRN99Ppl1mXsM95Ann3xS/fbbb1pPICqRcbTt4dtkBTGin8j/B8LuGNDSQcKnAeEkKJjxsx4qVSJaMTjGLBtl3ICpIApjPBWJCClnIHbCCSdoszgaEaohRCv3meyKP03JfyIREJLcHUljNGs6tlw8HGdETDrq/Jam417flf+CDiDYhvoodhDrHGDQwA2GxsakHpiKjX7Rdn5EG+gmu6ADn7PTg9JyOjupFraYUvT7x1ogyerV30kdw1PMCAMmZc2OaqEDj8DKoN9OS+OvV2VBntudciLTME4npaLzPuEUNi+M8ajfcYlXOLCjR0x1rpUfPKqraOr9ymij+p7zgsrouq5+ntGtZpsNlYWRERKYvhvPK/xdjOExkUakZRqyeg/UohmUr1qg20EjFNo+LUbINr5iNgg4Jvph2YQoHo+hKi3cGboecKnjNzbvroPVfw8eG1EgobDaT6tt/x2cyMBaqwyFtL8QA2L7nOqw0zGevj1+sM8mbdHAeROrOmQ8xp9Br/WSv78NRyt27OX4rRnvvNK5NSlYDpXlat49h2u/opT0DJW98VDP72E2zvYrc8P+e0WJsW0IDGK4nzh+EXg2eLc0NNHad7dQZt9/+cuMvtdEg5u2G4RFWM5p2omsXgN0EY5o2Km9XIf29e0F2236Q/QVucdQkIN7RmbXdVTXUZdEmL5D7pBRap1L3lbrXPqO6nrg5arH6Ns9xeTU7PBkRGVheBKGDry5twQR69YunKkq82smSxkQRCsy0BSgvQ8ascF900BELpMyJkrMLtaChyTRvuY+Zh+DznufozoOO0F1OeCyWv1cP9/DWNA2u/uYaXnBql8KQkuHMTFjWfo4iAjPP/98vXp0cz/Zc889tXeUGwQxoolNNoHQPCEoaMyYMVrgwpuOtpsJNjK9gAw9MvUGDhyoTe7Jdoo3AwERl/VE87nzSvMle4SJrC233FKPEzn3CWpqSMLJnAlCHvOcOXO0OojxWl0xOcqdOnWq0zYhqNmmb3SIuND9ZngJF7RDBvPz850flocbQsRNqpwfdK7plHp9vqkTrQw2HaCZM2fq/SIlyvaMsD0iTOU/TmrUXsTJxhhA+G1/9+6Rne94CRLGSZgpx4FzAQEGI21zvHgNoTbWcUF05DizP5xz7mM5Y8YMz0II8ewjx8xE+fHX7qRSmVCvs3CVqiyo8RQhCqf4729Uu413VDmbD9cGvsz22++Du8PLYM3rmmB73cuyX7QJROcg/lBdcdlbt6ruh1+vRYXuR92ilrxY29yRxpSHG44LYbqYO/odTy+cY5yartr020y/VlGwXEc34QfWZf9wJEHXAy5TC588XWVWDyic/SB1rjqFz6bw1w9U7uCR+hjaUOlx1UdP6v+zB9Sk5RGVhRGmfc0xOObmRVQtaX1PPPFE7R2orNCCVhBWfvCwarveYC3cGKhMyUDZnVK0dtEsbdpM+mN2/6FOVTM3dOjYTyJR1nz5ksrdOhyFAJxDNn6m+swWcT7b5w7XRrQS5ESKJKMNdrf3Olpx9neq3YCddWoskZOm2maVVd3ShlTLgh/e0QIA1xSPFe/dp88Bm9dee03fu+iMuGH/6RBzLdiwbe7Ke5wXXGvRouPMcWmO96hkQ2csVoQiA4WGPFa0y5wPXu079w7OBfs3t++/xi8sHv8tXTAiJUXlbrmPTgNf9l9kqrUNpuj2sYh17LiumZFGbCLan+X5HpsOOx+rlk+s6Xx32vPUyO3M7aJyttxLFXwfWck8rbpCIsVXuBaIaDfbxjVDG89rHDcDyyHIeFlp0MbSKa8PknnNMbEUqx+qv2vZHD1503b9IU6K6OovXnAqTa5dPk8XWEnNbq/aDdhJ339WTnk4orJcZrVtQpu+g1TH3U927k9mYluTiifmHlpwM2nl0SCNkr66OXdI1WVyqcI1eSQIrQEmz90g7vNwpykbmAQxwSlw3XXX6YcNQSU8YhEt0pP2PkhxDaFpEyvK79Zbb/Us0hWtb+w+L7xec+N+nyxAHo1NQoIYyh+hbKYDNmvWLG26xmtUw3B32IPATZ2LFg8VE1KXCETj0PFxiwE8Z9DtBR3L//u//6v1OiIGkWVuSO8MYlLIjD+5uHWB/SE9Fc+Nuq4r6HfFipwhIpCObZBjwDIIOgxOG2L7p0yZEnW76ECy/Sb3OVHo3MfCSfcLhfTsjvs9StdGOy7sD8vYAoj7WHLtuUWEePaRc/nhhx92hDtmDwx4hxl/KFu42GmnndQXX3yhin79QIs5VDAkqsCwepr3zDXbz3Gg+IbXvrr3g+eYj7OvDF6YoSqd86OuOIlogzhFhE5NKmdsEMSiHU8vzLaRukiHHYELQQSKZn6hB4+6imDnPipnq31U5xFn6PcKp0/VIl7Zghme62W7ebirOmJqv/qzcTqKzHh4rfnmdc8bCW0dv0eyOisMZubddZDqfeZzKr3aAH71ly/5Ll/0+yeqwy7Hqo57nFJLECPNhqgo/nYafpozoDLRZGULZkakTHLecjPGdJ/KNPw+5pxE9LPPZ/e14YbP8T4zmsmY1aQTagsOxTM+14JY3tajVP43rzmRK8Y3zAt81+zKrEQ5Fv/9naoqjvTF5BgwKWTC0W0IRcd3D68Pc80SNcgxc58Xfteam2geSy0Vzh/TH+A+b0ele8Fxpt9T1/tGUOx22Qs/v45YdBx2ko7EWj7pHl0gBUz6OSncTGzga0i7g49ghUcE57Bhw3QhJXMsOJYIdzq1ceAuOg0xozoVj/Ya2I9zzjknYj1Z3cPefmULZ+r7R/Ymu6iMb17TXoDtNt3dc/s77XGq9rK0/RRJl9TfUV6mDajd1zx9PyZIiNh+8803w/taVaWWLKmJdrWhAiZeoPVJsq457l8IfmaCh+ekiboN7GlnC6y2VlVVqKWv/Z/K2XyEWvH+A06UmBHEin7/SLfPwEQXfqGGnC330RMbnC82uUP2V512D3varZz6hCr4/q2o227P/nc95BqVXe1fVr5sbuIHRBAEQRAaShBjBhtjNRRtW9UjCgt1OhFBDC8x8kcZaDc07I9tFEuEGB0iOn5uY1HEooMPjh1tQQeQ6IRdd901ZlSO3yx+rOigZEIKA+GRsUQuBgYMtvyqpHnBOhEW9913X1VfcKyiDZDNtiO6xoqcCAIlaikTWxfYVsrd+inyXF9eUVPmvGKfudbsZRB3GEgZYct9ntnPgXPZFu7wKTB03DMsYqxdOketnPygUx2M7UW4RpgyGOP9/G8nqDVfRIp/QXySmDHnnCLywczksz1EObiFsqWv36D6nDlWpbXNU3nbH6qWvxU9bc4m2vGMBoO+6x5+Qf+v0warqqMNqirUomfP0dEN7Yce4Yhhep9W/qfyv3416nqJEOo0PCyIVRat0h5eGR17quwBO6m1i/920oiKLGP2WPsUL5wzdvQELH/zFtVj9B2q5N9fVL4rvcaGtE8EMQZMHXYZo1Z/9px+nZSrHsfcpk2uV31SY5zZZp1wkQRY9vbtzv/8xqZ94xrlPMXHwPYmiHVteKUYMluVDGi/IgSx2d/plGEqhfY5M7zPsQSxyvxl+ni2XbfmGFDZb+6dB+m0Shuua7/2noE8gpj+vlColhgG3C/whYgVIcbAnHB5d2WqlozfvQJhKBSqcoQiG/o2ybhvBIE0Bn77ZM/IU2kwb9uD9P8dCleqVR8+GlEZuGptiRaa8Gokdbv9tgerFe/dH2GVQerMfvvtF3EsTZp2u0G7qy4jIw33F4+/RJUt+MNze1KrRZaCn95TFWuW6kq2vU58UK2Y8nBEO0pUcGqbXNV5rzP1cyr8EolrMNGsXI/0SxHF3L+TiRy3YdLIr93w8/KrK8m+5uhT4S3obivZV78CHQYmdczEjqlMTNoskz5dRl2iFjxyohY4bRG/omCF9vlqt9lwVfDdhIj1ZfWoKV7ScdiJOkrMnvDwIy27vSOG6e8ojF3dUhCE+MCOCAshPxiLYHUjCK2VhDzEmGXDF4bIBNt3Ay8wbszxctZZZ+nZO2Zq69rhJNKDAZ579o/nmLv5pb9RxdJ+AB0W9wOfniCRUQxImM33WgeDGQQJvLf4y3P3MmyvEcPsij1UXkA05H2vdSfyIIUMUTDIfpnIpjfeCJfzDgqdaa/9TMaDYxFEDONBapHfMY/noaPoUlJVt8OuUz3G3F3L/ySeiCV+U6/vICrG7X/Cuc155T4/gGVJC6Yz7HWe4SdjP0c4c//m9nOEGVgxOVwZ0FzjTnpxqErPBNusXfpPzJRmv2PKIIF0Xfc+1/pdK8vVkhfCqZKk6hlfr0QwxzPW703IeGq7DvozVcW1y0/ne8yGM8seC+MjBoueOccxqme2HYENylctVOUxjqtN0ApkBq/BH1FtVKhc+nL0iqmIg6GKsJhDCo6J1jDVykjHwv/HDdEFdgou1yaDO3O88Y5DhOCv37URzfOJc4YBb7LamFrfV1mulnkIsUT12VCl1/7c0leuVvPuOkQtn3Sv8xpRGrWOT3X04oQJEyLaenPdBwlJJ0I51n5BfbTJTfXhd6+g/e573suq1ymPqbTccGEQG0QMBIdY9w3WX5f7M+unX+V1L45WojwWnfc910nthtwt91Jp1QVQTMSmEQJNNGq7TYY5xUI4hzHZZQKFlEf2zxxLA+lybjrs5l2K3fbdIwV5tTWJYothqz4dq4pnfqGr8q788HH9GinaRK85pFULYqR1h0I6RTvRfhvFl4YOHVqv56DehySuz6ut9Mp4CMKKiXfrv+l53XQ1Z6qOGhY8dopaMy08KRROd41sf9OsgjNUrMzb+oBA39lm/SER98P8b+LrWwqCEBsqRdqV/twP3heE1kxCghjh8t261a74g49NLGNaGzoviGF0+um82wbaiZKZmamN/qdOrUnfoSPEcwzb6oopUx4LvtPL9DSWCbox/GbW38s7hPSYZFZMNNUS4yGRmetkGtq7iVX23d6GZGwLx53iEZk9NtSV+LJ69ledrcFGPLDd2223nedvaUzDjcCBeEPqB697mfrznGvQmPe7zzMiXOzniIO+4klqmpNKY6enUN0qJyfH+RxpEXakD9FkBndbwPabyDQ/2P4gA5fy5XO1gTkd75wtwoIC20SUY7Q2iPdMNUb7eMYCc2Yi0oA0QDd4ptnmxaSUmIqS0UAYMlXOiBAj7RBzY2bbiZgAd5UwGy/B1FTxpNpuEFi+Lvz3UI2nRb8LGcykONEfNhj2U4ygcPoHaulr10f4qtmm20GIVnXRHBcEjGTh9X12dAXwu+GpZoP4HOHrRgQSBRWqi1JA7laRXkr2MaGdsdt6zLSDTlxw/cdbwKOl43ev6FIt2pIm3HnfyNQ+9zH1O551rWprF+/wOp+9PGaCkNmzf61qwClpGY5gYSoHVlb7PmIyX7boLx15RbGQcORcKMIblEiCCGE2NV1lVfsr2rTpM8jzdb0NGWFBjKgkIonyXd5gi1+4PCLCtuCHt1XxX+G2KneLvWunTFZHWdKmu42Ag5jrc2+g0lVzhwhDrCMSgQq5pMEbod5UGi76c5pO/0ewonJlRqdejp2CJi3Dqaq86uNw8SrSXonsi0VGp3B6av4PE7UnZ8WKeQltuyAI/qSnp+v+t9+D9wWhNZOQIIafD2WZDWYASmciHtGJNElmHTEbz83NVYsXL9aPkpKalAWeo16bwRLeTTxfuTJcUQiolkDEmoH0RwYhCAAYYtNxY6Adb7oh5UPdHdZ40kFJ98I41K7C4yVkmIqUdof6yCOP9K0oVhdRx13pMKiY5AedZTyUYlWlqs/Km3R2Y+HlveRXZCEaHDNTuYsqcwY6g0QrJYK7eqeB8wGx0ngp4XXHgNivg48YgmDLOcRAOtbAmfcPPfRQz4FC9kY1VV1trxAjuiGMGWEJP6XiWV+pkn9+0GXv7f1yV5iMJT5xYw4qqhf8EjbzzdlsTy3CsG1U5vH7PNtLu0C0AIIRf83xdONVEbRTr3V8I8SMCLbklWt0Ol3+j2Hz4iAwAC399yenUtqaryKFrGhpl7R1boHPVPEk0iHeaLFE4PzAS83Qtv/2KtWYzFvnDj5bBT9OVCsm3VcrjSqIWOqV2uS1f6yLNj/Z6W21vq+qwqm0SSrR4ucviUiZZFnuh5xjRGNGUFWp5j9wjBYDKMKQ2Stc1toL09YTRR3PQNdLUGvteFWTzOq7WUS6V9t1t1LdDr8+HPnbKfIc8hNu/Sa6uPcHrWgbrXIxqeqJ0qk69d1Q8Mtk/ZdiKESHIW6And622kpzbr/jUbXWSdvO+WjI6NRbpaSk6vN57p0H6uhSBA7oYBVbsSE1T69rban+i1G7EYnxCSOFz03Bz+85PothISxFpWaGfV7toh/cN+1jTltg37O4Nrn32W0n94aGSImtb/BAqwtOlLIl1K+p9gWlfTNtXs5WNRYYpjAM/poFP01SZYv/1r8vnpqxSK+OVLQrfQqCIAhCQ5LQaImKX4TNM+ioqKjQJd+ZCcdPIh6zV3wyqCLH4A3TePOwIxvwFNpqq60cEWKXXXbRzzFdNpCmicePgUEAM4TXXHONrhaEgEYlnHgrCzK4vuOOO2J3WNPSnVLVbug0km512GGH6cE1Rr7uQRzPqRBnd6iNmGCW9Rr4xSswMShiZpfjw4P/EVA8B82p6drHyCt9xIC/BGkm+EV0P/oWldFt/ZjbgEBZHxEL8UQmGhAd4x0oErlnfhuTFmZor7024t8Or9/SPcDiO0lrNceOUrluA3oGAUZACwrnpNfyVAUEOrbuComcqwzya7zPQmrZhJvU0lev9aymaKejxMJExQUBEa6ytFCndzBbzXnMMfHbf44N28130OYYTzUzYDX/mwgIc53gJ8ijoHq85RUhZsBEetlr/6crQiZKfnXKEuDBVVnoHWnGIA6RJprA5xbMaLcTuVa8sNez0kqrzd1qPyf6A/+wJS9fpcpXLlSrP6/xp7MJKpa68RrkXnTRRbqdNmWkk4n5Pru9xFsPn6VFT52h1i7803mdbWJZs09MjLgJlRXpdDA74sVPwKR94L4bDb/ftT6jc5sb/B4IH/ax6rzXGY6gYgQXinYQ+dt11MURn+dzmJa7RS6/ia54Irq9xDqDXfEvLlJSHYN7ojMRqla+/6COZGQyq8NOxzgRYlTONZTO+1VXIoTcwfuptLzaGQE2xkNy7aK/dFVboNgEUVv4BuZ6pM85qZrlYUGMeweRssV/f6tWTg2nR7opnfOTTtPGszB74520ZUGHnY4Ov2l8HX2ES3PPMpUZsX1gkinW5Ehzoy7iKZTOm67vOzYUOjCQvmomzdJywh67basn0Ir/nKZ/z4LvwsUL8oaM0tUro5GWF7Y8qMhfVqftFgRBEIQGFcTwuEBkQgyjihWz1qRQEnFDumJQGLx6PdxlZGMtQ2fGXWqWVEw8ZPA7oow2aWmJQJSXCb/3C7vvdsg12gy2455hc1kvqMLE4BofMHfHmf3xEibM4J5OMpFpfkJaPJFNtojC/4gECBDujniHHY9SXQ+4TPU+7UmVPcCrg5WiOu1xSs2zlFTVKcr+G9j/ZEcsJBrlFnSgaIsmBiLiTEoblbmIhMns0k+13TDsx4Q/S+f9LtApB4gD3Y+5XZcrZ4DihTtCxm+AxTXmlVrD/wyY/cSgeCOFqJjojhQwmLRMro2gxJMSd/HFF2sh2haDMQivRWW5Kq42mydigGOAqbLfvnJ87FQaOyLTiF78z/d7pi1l+6dMBiGoEMUs/NIJN6mqsmK18qOnPNdhp3vaAp9739hfjj1CEe0kExYIAraIlAhGfDRUlRao/x45QZuSt113S5XZbT3HqLv035/VwidO1SmTXushZTPRwSifM4Ig7T3nTX1GefB9fI/xc0JEIaKCNCIDvkr2ANtE4hrzcZvC6ijH7IE7q5TM7KhidqyIVu695ndtqOjc5gi/C30CRzDq3Nfxzsr/mmqJNVAB1i4EwTmPuOkWuUgj98KOGKPNtqPF3XDeMumRTPBXTK326iJyp3ovVP4P7+j/qBCsX6mqVFXF4ZRJA35RJf/+HE6vrF7O93uqRTX8Dg14BBqPxPbbH+ZUYjU4UaRWEQOiwpa9fn1Emn4EoSonwi138L6qreU/Rdp6tIhTYw9h/yYc72iFjZojRAhTidYmvkmQkO7TGNztNlHgpfN/03YFFLfpedLDujqlHWVIxPDaZXNVWrsOuthKkAgxEcQEQRCExiKu0RDVF82DKntUJvzwww/1gIaUEDqIvNfSMOH3XhECRFIxmwx5lJ0eXlP9KCh0sqP5ORmjWB72gIcOHUKfHcXmFm9M6hfb7TXIN9UwH3qoJsIDsvqEq5HQ6ek04nTHXNfZ7ba5Tid4yUtX6g51m76DdEnuWCQ7YiGIP4gfsQaKCAq2L4ypTNVuk5qqhPnfvelEFuRte4j+y6w1hrTMYPc87l7Vps8melCRt80BgSJk/AZYRLURkRlPFBjnLwJyPJ1i83uXr4j8jcxAw46UC0K8KXEIOBxrI3T4CSaFv4W9AnMGDVNpHXtFFQXta9kdgRdoH7KrTfVL4hfEON/jOV4ls75S8+89XJX8FSmCPP/88+qGG27QAku0dE/Ebzu6kPbFS0Si7U7k2rGrC0dUUZwd9lg0RSac6A8faJfqWtHNSxCsb3r37u37nu0ZZouu7KubsgUz9cCR9KJ2g2KbpiMqILQjsKd3CBe9MBDta9pWr3TqeFNSWypcHyatrP2ONel8+d++oaOPGOzbeKUMuu9jQSZ4zP0awd3v3oc5eiJwL/Yq7GImNtYunxsRvVtUnfZm4D6PEOLGpGvjJxXND8oUACHl28YY4SOMtDeRXH4RYgEp+vWDsM9ir3BUGuB5ZjzIuM95RZxGs6toaTz77LPq22+/1UV7+GtPgkTDWJ6Y+ypk9d201nJUBjUwEWjAa0xTVaFWTn5A/0s/iOyBvO0O0UVWIkhJdYriVBZIhJggCILQOMQ1EurQoYPq2LGj78O839Kwo1sYTL71Vk1FOUpQ2+CZkFEdHRHvd9jpTW7ouDG7zF8bBrsmis1t6kuapkn9YhAdDdJAbEwFKv1/2zzVYdfIGUczq05kBDOIZkaREt3umWC//UlWR7RW6lRWO9VpxJmqw24nBNoWryg7BixEejB4sWeUjYccRsWACSzpBAU/vBNOD+k7SPsBZXQJ+03ZgxJov8MRKqXarN7A70bqsKm0yne7fw8D24AQHY+IgZD69NNPBxZk2L7wAKnGaDmR1DavYgCJCh1+oufaRbNU6YIZTlRj0Gs5ml+PH8YzrrKoRhAz51w0sRGj/6uuuspTpPCKGvKD5UnBIio32rH0EivZVwZFZiBuji1ilDvtsH//8LkdDVLQvSj4qcZbEmxPLS9WrVqlmhMm7RxhMlbb5pX27IWJEgtXbosOUaYMMBHYux54Wa2IU76D35nIl7pef00Br+jcumDukaZAAqbvULZwllNl0Yg4FflLq9v0TZ323uu3xjqC4xsEY0rvFyUdLW0yWpW+PmeNU71Pe0r7ghn4/Y8/K5zyWbEi0g8VEWrF+zW+q35wb9d+UJltVPejTYq80gKHTqtPS9fWCUSR6e9ZvSjye9aW6FRNYHlnYi0t3bnHVFV7iAWF4iMlf31TM3nw709q8XPnOxFiRP95TRb4+W62VKGYtv28887TNiTrr7++jjBlctSv78CxoIqomdyoWBP29Cr4MbJNh+JZ1cKXxYJHT1IVK/+LEPtL//tDnxu9TrhfddztBNXtsOu1MNa+2leOCEzOA6IEKwub171AEARBaKWCGB1TqkHyoGpjVlaWGjdunPOaeb8lYqpL0okdNWqU87qppkYnDT8jnTq4x6kJfQfHk8gNv04Lr/uBKOY29SVNM4gIQppZZLGAFJVe7Q2x7O1w9BkdbXtQ0KXaW6WqpMDxEMJ3Ii27va4uFItkd0TtqJdNDjlHG8K23+4Q1e/C11Xv055Wqe3C0T1euI+rGfR6DXL08U3L0EbYUPrf787MuEkPochAumW473y2vFSfL/3OezliIEuxBwZodiqOr7db9aAKX7r6An8WZ6BSXbnL7QMWqyKsXe0wGf4sbtHTZuWUsGE5qb3uqBk3HFPOu3gHnvyeaTkda0WIUUmWfXzppZc8P4fgdeONN9bafiNSeAllXiRD1Lj++us9B+L2tYPYP2vWrJjrMqncbkr/+VGVW/4zdjqUF27z66ZMtCqANhwXzrGgoivROphRk2YazVwf7MpuDCZzNtuj1jJ8p4mUdBfjaE7UtWqjjbvyblpOJ9Xz+PucdMgVk+5xli1f+o/675ET1aKnz3Yq7jGI98M2lw+KX3VpOProyEgqL+xorU6k4lfTeZ9zVe7Wo5zvePWjcIpmuWWYbwux8+89QhVOn6qWvn6973etqfYSy+y6juq099n6u7sdfJXqNPw01Xnvc1R2taE6FFtClYFCGlQfJkUyt9qI3VQwTiRCTK+zWkSGsv9qCnRwvv/666+en/Frg5ujUJzINcRkChkcXvdRntNO2BXHFzx2slr6+g06dbYWlRVq1adjnadlC//U0ZVu1liVl4ECDghjTJyuc+lE1XmfcEVX0upNBKMdzSwIgiAITU4Q23XXXZ0H0QUmYsF+nUdLhI4CRQDsARHCj6m0U1lSoDvQeMq06beZ6n70bVEN6b3A34ciAkR2+Q3+/YhmJh4LOkL2Z9M79tQl1/EDwiS18PePtdDXc8zdqtth/6cj4NKrw9wLf/2gegOqVP734cg57Tfi45VlOPnkk/WAMZmD4Z69eqvrHnlBFfSt6aDr/WnfLWoqK2kF9sDE7bXmNShNSUvXleWYSTXkfzvBqbiEqERax+rq6kxgZsr1MpvWHsgajLcJkV1+YgliU31hZvGrSvNrbRezzHSyo3nyuasdJmvAYQs3VLo1lC+doys7MtOct/2hUdfBPrzzzjvaA3G//fYL/N0mLRr/MJNGyn6SYmIqOnoJRAheXtvPcWTWHo499tio340IGY+o6Lct0dKVTcRYEDHM7Ds+jbUJqUIrnSZWhJg5p5oD8UYVBk3lrrLN9besnYpqR25SzQ/WfBkuPNN+6FE62saNab/cxTgaO0Irnu/1qtoYz3YYEYxIX3fl3Zwt9taCInDPxmTehop3/C6kUUJ2/x08Jznqgld1aXwMEbHwXTKpZBGkpKouoy5Rfc99UXU96Ept2WCitQ0IDqYNR8SCsuooWjfsI2Jgyd/f+m5nyexvVVG1V2PuFntpX1HuqUC0YvYG4cmZRc9doAtFeLGmOvUSg34mlIwZu44K8ijEgk8t7bRfO4a5fsmcH6u3LzxZGa1is1cb3JKM9OO5hsz9hGsDqxP+8px7akT7FqpSJX9/E1Ep2J1OO//B0Wr+A6O1bYYXFGco/vNL3200XpNFM2sqY1JJXhAEQRAaksSMl1ohdBRsQ3xSV7rsd4HuIOr3y4q0B0LBL+GS1aTO9TnjGVenNiWQKEZKBR01BorJqggXDfbJHrhRXcuko+EFsfrTZ533MLHtdULYG8Lu6BpxjCg5Bm3uCoxuSOtJxsy/zaiL7lb/rlfj0bXamtlEpLJnsr3M6iGIN5YZlJYtqJmZNmazJf/8EDFriklzwc/vq+Xv3q2Kpn/oiClEr0UTDdkmOqj4Zx1++OEqcVJUm/UGO5GMQcAfzo7+s2FbYgmGXCf1NdAwwg3pw5w/hvyvXnYGaJ4DSdf2EY0XT2SHSYEt+v1jPVAIkj7qJYawPFVxTfU5IhGfe+65qN/9wQfVonOclfSiVSz0S1f2S5ckTdMdWXHQQQd5Lls4/QMtMiAIVwbwW0uk2mtjEFTg4trg+EaLanRT+Et15bYBO9dKqTZkVlfxJRJ3zVcva0EeYQJ/p2h4/d4Mlj/55JOI6sxubKGG89T2qqxv6ur3ZFdU5lx1ryuz50bO/1QJ9QOhjKqHTAjFMpZPBDxY3V6GXfa/SLXf4XDV45jbHZ8tA5NtppgLIl23Q2oE9/8eGqPPDW2Cv+3BEZFYlcWJV72FNVaxATu6C5g8I0JeV5j0gYk1TNPxOsN/00yo2ZUtDbSNRLNSIdy/HQuppa9drwt5rF38V1znSWN4DjYG0a4hqlTT7nIv5C/PTRZEPN6JVFOuKl4dNcpv1Wfh+xu/PymUCGz2+QTly2sEaarVC4IgCEJDIoJYgrg7x2sXhztgqz95OqLSkvbeSk3TZan7nPO86rBrTXVMP/CtYsA/Z86cQCmPiRrKGxiw7bPPPnrWltTCvB0O06+XV/uOVBasUMsn3edtrGrN7tIpKqyuZJW3rfdg2VCXmX8vGKz9uLzmODCjTarHwqfOVIXVBsL62KfWjqaId1CeXl2C3qsqkomSAzrqoYoytXLyg46J8aLnzg+Lhp37qLYb+UdZIYTOmBGe1cczLJYwSqpgtyNuUrlD9o94nep13Q+/XvU84X7PgTaDaVIX7PMSzzgT9ehFrHPywQcfrPeIEq4POz1b+5XM/bV6MBj93PNi+PAa7x03pAqTgqu/Z+Gf+i8pkrbo51Xp1KuyppevVKzjmUgUlamGyOy/+9wxaaNuOP8POKB20Qcza//mm29GRFYgEHlub0m+WvLKtWrZW7fqAVNDF9moL4IKXHY6uIlI8fodapvr/6vN9SkQ4bne6pRdvH0QHNd89UqNL2F6pu+6+V58Ek2klxG6RowYocVtrwGo13lqV1yub+ri9xQkytdEVS1+4TIn1d0PEyVGVG9qdnuVTNzR2fQVjFchYmfH3U6MWL7LyIsinlPF2EDa/soPw2n+pCZqL0iT/u4TueUFkfAYsdv+huXL5qgVUx5WoYryiHMWURbCE0Ehfa5REKUWVZWq4IfwBET77Q93PEqpROmG7zaTZWCKq3CPj7iGqioiIrQTtWNorCjIxrqGaAvckWM8j7TN8GbBgtqpt7HAV4z0y8XjLlJLXrxc/ffw8XqSddmbt2iPUlIvOb8EQRAEodkKYg0RwdTUMKkWJuQfbyiif4CByqJnz9Nlp4HBzToXv6W67H+xFhrab3+o6nHs3SqluuS4H3hEMbsdBHx/3B0ffpcgkQkshxj0/uffqV4nP6L6njVeZVZHw5QtnOksVzT9AzX3jgMixL7SeZHluMExl+8TNpcPQl0N9unIXvfE6yqrVzi6hfS51Z+P0/+XL5+rVk55SP9OGR17qpzN9ow6KI/ljQVOVaT82p350jk/aoNmPIEKf60pXW6bDBdWm9S2384/vY/BHLO3pNCMGTMmpmhCKkrbdbdQnfb8n2pbncICxiMHEa/z3jUpbizTbpPdHA8PzkvMkSMjxBKrGGsiZOoTUyXOZs3XYYEgb+sDVN/zXlHpnftoMSuj2u8t0SisdpZAUfrvT/qaMdW4og0+eO4u2JCImX9dBBz3doLXuRSk6ia/qR1ZwV/PwS9tx/zpulJmUJpLtTc75covpevWW2+NiD7x+x3cFP4c9kXyq9RrfKMqS8NCdeGvk7VvD4VdcrbyT//l9ybF2UR6uSuQ0s64xQC/87ShPN/q4vfkJU67oz0zqqvduVMlvSib/5tu07UHFil/ScTtxYcHpw1CPBMW2m9p3/MdUTT/h3e02b1hzVevOumDWljNytbbyl/9PaVFzvfE6rMNGDBAp7tj32CLYkx2/fdwTXGdqrXFavnbt2tTeyMacn6ce+65npN0pngEPlKdR5xeK0KMz7Bt7skyoN2hrcEw36uvk2gBiWT61DU1/K4hCva4r22e1+d9icjFysIVWhg10WREDf53/9FOJVNBEARBaCy8w2V8MBVoDKWlpdqfwz3oe+ONcOeopZJlKlMt+kstHneh9pNCCDOE6Ci+datKSb1SpzUAnWnn8736q877XaCWv3mL9n9JzcrRYeeJwsy93Zmhg4j/1FFHHaUHmUuXLvUV1xg4UDGNkuim8+weoDlUVarFz12gBSEiErxSJEidYMY9Z7PhKm+bg/RxCJo6Qqc3Ee677z7VZt2tnMiw5e9EpvbgY4RYgljUYedjwhUxqypqb3tlpSoqKtKd8GhVw9LzTLqHd5nwJS9doVIy2/hGxzCYIYopq9fGuqQ5A65oGLNlL/gduh15k2rTe6DzWsc9TtGDFAzxTUovtBuws6oqzlcl/3yvuh16Ta11ddr9FO0lk9VnE/280mf7zYAq2qDTq3JnMvFK7cOYt3T+b7oqHOdy75PDnm2k7q14956YkSCA9w4psbbnjqkSSvU50j28BpRm8MG5YyrBck2S/sPrJprMCGfu65XX+Jz7PQNREongJQ7YKX32crEGRDvuWDvlmMEvJsixPss+UumU82LFihXqzDPPjPhMc6r2xnHjQSSv1zVg+9sFFWkAr8YOux2vfZ8QQAp+maxWvl+Tnp7mTmWurFCrp72kuux7rha0Sef1u4/YnmJ+YqR9PvhG/1VHPTZEuhnXDH5HfB/nRtDvNAUz/I532w3Cv0/pvOmqqjh2Si/kf/u66nrg5bpSYv43r/t64+XtcDgHWS/j5Y3lhb2dqdnh4i8VhStV2X+/6zbbYBdQWDX1CZXVd5DqcdQt+nllsanQF9Jp+qRddhh6lE71hCsuOk/975ST9LHkGvQryuK+DjfYoGbyz0yS0A523P0k7ZnJNi59+Wrn/dtvv11f2+62UH+2rEh737UfWtMXsSPE8FskVTLauWmq4pp1G5EnkfMkmsdWS0mn9LqG2G/3fcYIig01WdMcmTRpkhO1LwhCcpg2LVyxVq4voT4g065eBLH27SNnL0ePHq1aI6ZDVzzrS93ptcUwmxVTHlIpmdk6csdOqSOCBU+r0i33UZ33OlO/TjUfDEwTwX2TpoNtqgUxaHN7JaW3767a9h+qin6b6kQBZXaNjIwK+6rUHlAgCHiZrA4ePFj9+GPY5Db/2ze1IKaNiNt396w+5OWd1qFDB9+IEz/o3JFS2HnUJbWi2mwKf5ms8rY/TKXndNL+b6s+rDG4dw8GYg1c0/O6+0aIATOg0Tw1GLRS2YvZ/x5H36pn3UlL9YPiDMz2p3fooc+54hmfRUSA2WIYEAmXN2SUKlsQroAJxbO+0r9Hzlb7aB8XGzzOKBRAqk7edgerNv02dz7jho4zETCkV0Q7TgiL9Ymf4Lbi/QdU71MixUzM9juNOF2n9VRVR9f40e2w67SHXv73b6tVUx+PiMwpX7XAV1Ayg4/NN99ci2B+gyy3cOY1oKNyJSK3DcebSM7u3cPnXlBycnICHT8voc7muOOO04NRN2Z/YkWXccw4PizLJApRCrRRuuJfM6z2ZtodvwqT8Yo0gCF5yayvVbtB4YkBxGweCAkLHj/V09uPNrz9dgfrFMAu+18YIU7EA/5BQSYkvKIe6xNzzcT7Gbyn7LRJjj3FakhdTasWncrwyAwIbWH5qkXVUcbDdeVEG9qIHqNvd1IxmSRbYxVUCYqpIlpVtEqt/nRshCBmxP15dx2s+x1l86arFZMf0hHrphqmMSjvsMux+t6r18X9KL3cOZbRIvzs6EaW80qjK/jh7fD+ewh+XM9MUJHeaNo0zhf6IIhdRG5TtMf4oBljfNqAkSNH6oq8sYRyP6E03vMkmsdWc2qL4r2G/O5BEKsdbwii3Ycag7KyMn2Mrr46sbZVEITY17xcX0J9QftNO55UQaz1mV0SCRI5gKHCk0lrID3OzbrrrqtTaoAIoaUvX6nLoHfa41SddrFq6pMqJS1TiyFGDNPrHXmBNsWNVpWNaCCid4iCITogGsbz5bPPPlOrV9dEDRCZhvE40NlePP4i3bE1UTDLJ96lKvKX65SneDBimElTRHzAgL/3aU/pSotrvng+5joYIDPoj6czaiIvzCCHKoBeIFoicHQ94DJ97OnQ421hY0zCGUy5Scvrpv1KMntsoNNWSIksd30+HohYIxUvNbON6nPGWFXw47sq/7sJOrXAJr1T7wiBp92AndTylFTtHZPVZ6Az6AnvY7kuJNBx1+NU+6GHO35mHJNlE27S/jMMtrM3HhrxHYW/TtHncteDrtBmzPgYQcXqRfrvlVdeqbbYIizqkvoVK5qoIaJ9/AScipULtHhAUYdOu58cYQRNBcrVn/i3YUQ+moISeVuP0hEkJX99pVIzw5GTobKSqB5c4JWO4h5kxRrQeUUYmXXEK4ixPUEES69BEtdj165ddWSYlxhmMPvDQDhatJgRB1etWuWIYQgV+Cg1t2pvQSK+3MeXqF230OkGs/w2620VkTrHuUu7ZTwLI0TdUJVaNuFm1fP4+1TbdbfS1RNNalo8GMHV7NuyZd7Rr15Rj00Rc04ixCxatEiLLUuWLAkLYtX+VUGjw5wqyt9NUJ1HnKHbSNpMeyKs095nRVR7xNdNi2jLwn2BIGCjYNqstcvn6XsBPktZvQao4tnfqo67Hq9Wcx+tqom6Kvy5pqKrQ1Wljt7qNPy08NOi1eqWe2/R/oBcx/y+fthtT9R2Pkr0G20AkaOmPaNdsL3nVky6V/udIUhSIZg2wFQl9hJqvPoDiQilQe4hzSlStS743YNyc3MDW3XUBxTtue6669Qmm4Sj1JsCWVlZ+nwcP368GjgwcvJREIS6QWQYYphcX0J9QMAQwVu040kVxFobOVvuHdHhpAKYmdmEtUtm1/qMEcNsCr5nRnVSdScypM2QczbfUxuARwzYtztEG8F7QSpF37PHOz4hS1+7LtA+2NFh3Q77Py1S2amblG5f9ckzTme+ZM5PdUrfNOApYr6rw45H6YEBnhHRoGP66quv6pLrDOTpsMbq9BIBQ4falIGvzF+q/5qOLn9JD/n6669V8cwvVPEmX6vsjbZXHXc7Xi1748aIdb322muqc+fOeqCLITGpc1TaJA2m4y5jVNGMz7SHFJAqgh9YoiCu4b9iUhe1B9hG26mFT5zmRJfZ4qUN6TBuGFysnPKwWrt4thbNiBrosOPR+r2C6nN41WdjtRhmDLhXffyMjibgmLGfVIBqU50uCVVlxfrvnnvuWSt6xG8Wt6GifVg/0QxeAkPFqoWq4Ls3dcQNxQKK//o6HG0zeD99XvoNhE3araHbwVfqAghpxpi6+veOJoQEHWRFG9Alc6AWz7oSTVEz+0NUCIPaaAMqBhZGDDPH8vLLL9fp3c0pKsMv4ssvetBE6/IZs/9e1xCeVv89cIz+n/tBx91OcKoLEh3kVeyCzzDpgBCOCEL1W8zfiRJFYDMFX6LB70KULoKEESr9ItqMCXdTTy2jcp5Jzb3hhhucfTFek1gexEPR9Kn6Xsa9BlFszZcvOZ5vRHwbEMpoYzvve562VLAFrGi0G7ir87+p7Mw909w39boCQsVnI4iR+m4LmfxuXr+tu12IFTXqh0mr5fh7FTfQk1MfPek851wy4mpd2qB48YuUasrndDLxugcNHTrU9zcfMmSI+vnnnyPSYJMJ5yRRt3l54aI+TQ3EMDIhBEFIHibDSa4vobGRKpNRYJaXyovQcdhJqusB4TREWPzi5fEdaTyrqmdVKwuWqeK/atIjqbIDedscHE5nw/fDEsugy77nRXigZFud5yCQ0mGLYXiUQPZG26nep4TTBzHp9RPDMJC++eabA39f6dxfIlLuOg47sdY+eXHBBRdoAcsYQDOI9EvxwAAXs2iVlunM+pevWhwRjULBAapWGVZ98qweWCKKZfXdrNY6depAarpOf+k55m7V55wXtBgGiKF51Ub4bsP5RIpLlMz+1qkKBpSi73fBa7rSGMfKFsMwTZ57+ygdZejF4vEXVw98Q2rVR5HGwKTWGBEO/zJDVVmhIyDqY/Nx5OcQ/LyiobzMevGOsSsQNgSmClm0QSHiAj5MYVPsNrWqw5pKmx12Hq2yeoT9cqhKWr4ifM4ZMcx4A8YqGlAXM/BkriPRdfG6bZwfL2ZA5YfXYKu5GOp7RXy5iSVckhJuquYh0kc7VvhQzb1tpI72Mam/4JX2izE19xRS9ToNP11XJyRFuudx99ZKkfYDE3VbqDT744VJjWuqmEqT7v1BqDJVgolkjgcqBpu2FQ/I1Oq2wfiEwqLnLlALHj1Ji5ZZPTbUx7/b4ddHFOLxJCXVKXDCRFu0FPqg27ri/Qf1vQ5R1G1STxS0fc/iPHS3C0GrqnrBhBZCV5AoyieffDLiHl/XNijRIhkNee9qqpjf3KtdQgyj2jERgF5wPhGBSX8rkcrn9CFaixgpCIIgNC1EEIt2cLKyVcc9T9X/mwp8JuLGiAyJsuqjJ1T56sV68M1gBu8r0ueIaFnnkrfVOhdNUDlb7au6H3O76nv+a44RsAFT25TMtoG/D98Ow7y7D1ELHjouokqVXwl0OxKrW7fwQCIopOktfe3/dHohqX15Q0bG9Xk606RaeFV/MgMelsno0k+bB2Pobwt6dPD333//iAE4aZIFP71XI9LptNhIsnpu6FTapDKoDVFjpmqXgQHDhRf6z96baAsvqMrJoHfp6zVmwqTrmYg3oAjAGioxharUivfu1amR4denqpUfPRmu/GVFIZTO+1UV/10jApavrCmVnv9VuBKjHQFmWLvwT1VUHY2wdilGhCF9fJnpjzWQQLhsqEFMIphojvbbH6YHqObaQShmINp+6JHaMBs4j1ZVR2jYGC+8WKJHMgZZyRyoNeSgj3PFHgS7K8AR1eceLDXXNCXOeaLi4q1wZwb8JkUs1uBx9Zcv6cq9BttDzGblh49qvyiiybJ61pjid9DtXPzwO9LG+rVdDIwbouJkLNgGzm2zLfzluHqJMekdwvdBfNkSqaJL0RbaRh3RvW24yJARHJe8ep2OtKX9WP3Zc/q1zG7rqbbrDdYprUyw+dHOmvzAvzAZkDo7786DVMns72qJz7QB8+bNU4888oi65pprtDjr1S7wGiJIvBM+8VTTbWxBvCEFuOYAvzk+ln5Fh/Di82qzDj30UP2eadfiFVJNyrYgCIIgNDQiiEWB2VVSIboeco0ubQ8IEKs+frrOB54Z4IWPnaxWvHu3k77mriSFXwkpbAhlhoXPnKPKVy7U5vAn3Bbbl8tgDJkRwcI+ZSG19KUrVeH0D2q2qchUqoqEjg3GuMz4xgud8ZUfPOJE2VE9LcNl4B8LM7NtD75sDx8jUpUvnx9ofWumvaDFIAaN7TbZ1dMvrPZ+fB8hIOKBAsOGDdMiA54pXoMGXhs+fHjMmXKqO5K+CHk7HKEyu64b3qcV87XniolOKl8+Ty194wbtD0baCamBXtEEqz55Wu8jQqstdDIQXPzC5Sr/uzdV8V+1TfNXvv+gWv35eLX8nbDnC9vtPvZNZSBBNFLQgRrReCbVjAFqpz1PU+kde6m+577oKXyV/PW1jnIMharUomfP1aJlIqJHXY5NMo9vQ/xWpmqbWxBjsG0Lp8mKfmsK2BFfiYiNLE/KaDRI/V05tcbX0C+yiQhQqvi5yRk0TGW5Cm8EgUGvn7DkjhJzi1LJxKz7u+++qyV8cT4xYUJEMX+PP/54/ZcUyWgTQ9xD3bjbElvMrSGkjeEhd8gonZpqBDG7naWIS4VrgolKznpirTrSz4aI5fB2LdDVQpOGy+vLFp9NSilm96RTuiednH0pLIzLL4/vwPYgaJRQcxXEWzJekb7mdzJ2BW6oLm+uTTMJYyISg9DcooQFQRCEloMIYlEwlaSyNwyXKCfqRnsTBfCOoiobZuRBwZMKI/qo2/Pze6p86T+Ov8hnS9Ij02FSUlW3Q69TPU96SGX27K/TNLofdYtO8yMtzJ1ugziyYtJ92jzcRBy5MebaFFTwm/GNJUoU/faRWrvkH+d59yOud3ysgmJmkc3gyHiH6e/PCpueV8aoIGggMgAfN+iw65ha25JenX5J5S4E0CWvXqs921a8V5MiZCKwPv3006jfxUDigw8+CDQ4WP7W7Tr6gDS9rgeGB8kVBWHhzQYD/FVTn4haMbFixX86cmzx8zVpvgYKJmgPF4/CDKyTaCp70N3YM/ixqskFZeUHNZVFEZ57nxquImlDNF5hdQThkleuVQseOUGnMPH70bl/4YUXtMeNECwqhOdEFdhiXEtLU6qL2Eh7FiQVvfCnSdpgfeFTZ3hW+TWQXmnSfRF0C34JR3d23OMUz2hYP2j3SV+PFeVDBK+J4jWilJ+wkgisy6zbTqXfe++99V++267oOnbs2KjbbGwDvAqikLJlC7W0LURQ2RGALPPu47eqtsVL9ERV37OfV2ntOtSeUApVqSXPX6q9HYnwY7KDlNeuoy5RPY65LWyLYJHVc2P9d8Wke6Ia1tcFY15vKk3aFQW9Jp3cXmJe63NjBG53lJBpP0mpI6qypQjiLZVYqfbRCr/YBL0/RytUIwiCIAj1jZjqR4E0NdLXSI+IFkFlC0cZGRm6EhypeqbzgFlxEPCTwjAdAYlKkr1OfNDZDsQt4yVTPOtLVbZgplK9B6g+Z41T/z10nKosXKEye27kpFbif2UghcZAhJGbJR5+aHR2SQMk+iHWgI1l2UcEQM+ZZF0J7SbV/ehbtH8LIh4iHZFa8fDhhx+qPfbYwzGkPuSQQ7QRfmpGOP0ttDZsRh8ESsfnDt5Xb0/ukP21X4+hTbW3WPmaxVoANVARa8lLV+qogPJlcyIMhNlvv1l0Xj///PN1NEV0Q9qQFm30gMkh8cFRXUz/m8sMPmLK5ptvrr3kYkUxFM/4VC0uWqnytj7AicgwLHzmbP372px/7tna7B1B5/vvv9fXN4MCEznT3IWcZBOPgX8yqsS1BOKpVmkXJfE1O6+q0MIZ6b9UsiW9mmrCVE+lqm3R7x/V+ohtsE77SuoTVRkhWtVQA4UtzOeNsJIMw30iwmzRxuCXxh2Ethts46Q+uo9Bx44dtUBrG7qXl5frcxhRbsCAAc4+PdZ7UzXm6Zq0dI6zO5WVSNPFz12g/6cPwe8AVI2kwAfp8vq7M9vqysWwdll8vmbxYsR8L/HaXQ3XLY64DfK9ztsTTzyxlkE+KZcsS9QR60LktIU4oWkSrcBBkLbeL23Wq+3Cj1HuB4IgCEJjIRFi0ahYq+bfe4SOJiLFomj6h7UWYabaRDqsv/76OlXjjDPOcGbKb7zxxsCRYlTHowNNZBpVGZe9dasWyVZ/OlYtfeUa/b6XAXrnfc/Vf/HpisXqz4OlWT788MO6BDZVH2NB52aHHXbQs4F+vhEMDhY8cqIerAH+K2k5nVQ8IMzZHWnEMEjJahtRBTAIVLpa/Vm4amfe9oc5omdKRpYjKhb/+aV3sYAZn9XqBPrNooMR74guYob87LPPjhopuGLKIzXPF4QrsDQWXmbLTQ2iETj3gkTh4f237K3bVP4PNdVXC3+dUksMg3vuuUc999xzaunSpRGVEaNFU7RmklkMoLUQrd1wg0hFxNL8+fOdNM399tuv1nJEd66c8pBOocRT0Ziqd9j1OJVCYYltD1ZdRl7k3C9sYWPq1Knq9NNPV1dddZXze8bCLYwkI6LUFExJpmBCpWYKl0C5q0K0SQ0Hd7Rfly5d1K677hrx2s4bdVHbrltz/1o64aaokV1EYy95+SrnOUU8THS3+R0qi9fENYnhleIZ7d5iFwPxOu+iRemYypSxePrppyPaRYRLvKGoPEufiOgwO606Wkq+0LjwmyBqeVX7DNLWe51jLIf4ZUcOEnVJ6rkgCIIgNBYiiAUAg9yFT5zqKU4wI0oHGvxSEJh1T4TimV84s8hu2BZTnRJPpOz+Qx2fM3yjKqqrB+I5ZsrLF834zPGiigYdXwZfn38e9rQKAhE0xoA36j79OU2V/ve7Tjfpc+ZzcXnb+EVSZHbuF36/zDuViE4XUQ9uiv74xElRRBSLGJyUFur01KBikV9FLp4zmNp55531oIDBwZIlYXN2Pwp/elctfOpMHRlYkCSD5Xjg90d8RLxj4N0cIqHYRraVjnXMgVtluVr14aM62q949ndq9bTaPmKGBx98UP9uLaEyYkPQ0tIh6xt3uxHt3J04caLTBpo0zWuvvTbmd2DSTgEX7g8UY6GYSLtBu6nuR93sW5iF1EMitIIKIe52Ec/JZHrRJYO26w92/q8sql1NOZ5rmmPyxHFbq8EFX2t/wdJ/vvddzlD6789OpWAmYDrsdkLEPccU7YgHd4rnQQcdFHV587uY887evmiRd0FN8u1j6JWWedlll0lb2gywU5X90qBjtfV+ohn3aPM57tn4AAqCIAhCYyIpk3Vk3XXXjZmCwEyZnZaSLKhOif9Vhx2P0tUwS/76Rr9OOqX2iKpm8fMXqza9N9FpmEGgY01nBhEnKHR0EXsQUWJBAYGex4ZN27sdeq1a8PipCVX8MqR3Dpvqly38M+J1BEm2ycxw0kFnUPn888+rL774Qs/oE33X7bDrdNpkwY/v1AxOVi+O+b2YhROdZLBTRJYvX64jC3r37q0Nhu2UoiBRd0R5sG31jdd5yfPS0lId9deconvYViIQ+E0QsWJBtB+PlpZG2thIOmTiqUlMLNgpiG6IPsYI3XjzkMYWk8pytfrjp1XXg65QuVvu47xMW0ehk5WTw6n5bqZNm6aysrJi3rdMFV1b+MCkPUhasYlC4R5p2hpSy5MRGZbRua+uzklbTvveac9wBFjBj+/q9PR4rmm2k0E83pWYzPMXb8gJD98YdRtqHbtQlS4y02PMXSpn0921CMb9OxFBjHVTDbBr164R9zjfdFomgYpqqiMbsdMdreWV7uqVIueFHWXm5ynovueIf1TTws9fzuu8iNXW+6Vdyj1CEARBaEpIhFgdMR1Mv/Bw0wmIx/zbDzqSpDG6RbHw7H8X7UtiUi8iqKxQpfN+DWzWu2pV2CsNYWHQoEGBPoP4hxB01113xVx27cKZjql9apscHbEQFPcxJsUxs8s6tUQsliPtx05/4e9pp52mevXq5SxX8s/3WihMzchSfc4YqwU6vT9rwhF20ejZM1yxzMakiDBw5e/rr7/uKTjVxZidfbviiis8U2YQJEnRDZqGZdbnhspjmFYn0yC7MStk2ceIVKy6IKmAQrKhbeJeQWpuLAGK9xmwxhNFhe+kKZ5ik7vl3qrrQaT0p3imv9GOBcFL+PBKhbOrUXpFoRCVFuQeEos2626pep38iOr9vyd1emj7atEJ7OI1tmG+X3ovwhe/jW3sz994iubYrF38lyr8ORyJZcQwqFgdnyDGNjNp4b7HIUR6tX9BPJ78ouTc0T6s3ytyEC9Rsy1+aZlukj1RKNSNeM6LIDR2NWpBEARBiIUIYnXA7mDG8lRgpuzbb7+NO/3EgBA2b948PViwO5V4YdnV86DKLYjFCYMyBiw8/vjjj1rv8/1e4l80Y3mvNNRFz12gQqEqlbPZnqpNv80DfQ6TcxsMio0ISMl6w7HHHuvZAWOf3FFsqz4JV+20qShcEXNbiGSINbN677331vrNOVZPPvmkeuedd/SAM0jRBVJhOH9MmgF+dbVSeJ54QuXn56tbbrnFmYnHn+Oww8LpoF7we1FNzm+g0hz9XbyuRY4Dx+6bb77RxzFROE4Iv5IKKCSboGlpwHLxRlGtnPpERJXc/OqCIdn9d1CdR4bN322mT68toHnh1+a7B9G2AIbYTnSb3VbyPEhxjCB03uss53/SQ9Pa5un/qRhbOq8mKvShhx6Kmt5L24efZrLN31d/NrbWxFXh9A882xvuV/jGEf0aRMCz08cT8Xjyi5KzU+RYv+0ZynqorE0hnmjtMPcarwkiST9vOsR7XgiCIAhCc0cEsQTx6mDG8lSIZv6NeEHH2wveo3PLgAkwJbXBv8Q2gK8VIRYnpnKiXwU0OrVe4p9XZA7Pn3nmGU8hcO2iWargx0n6/057nalUWkbMbSPd0SajOjqsbP7vERFw48eP9xRyzDGM2I6FM7WvmU3J37FFE0zX7e/wSxE54IADah0rIsl4nd+cSLZYQulbb72lI9Jsvzr7t+HzVFu0BTnev/zyy3WlOEQg/Ia8OrrnnnuuTr3xorl6ZbmvRXxKOHakO9VlwM2xtdOOBKExDPa53mtFy8ZoQ/BEXP3lS6qiYLmeRFn9+Tg9oQI5g4apdpuE2xY3mT37a78rHsYIPgh2Kpx7ssBr8iSeCZWopKSqtGrz/KKZX0S8tejZc1WovMx5PmTIkKjRK6aCcLKpKi1UK6c8rKtTVpbkq3l3H6oqrAkd0zZzn2VCg+2jD2CKKcTy5zPp44l4PEWL5LGjfew2luPk5V/mboe514jY0rSR4iiCIAhCa0M8xBIAIQSTdq+OYxBPBVISbZ8YOoh0TEmjO+uss2qJKnwXnixe/hv27H/2xkP1/xWrF6m6YM8Gun1DeE6nln1kph+B6phjjlHrrbeefp/9IKoIIYX1jB49Wu+z2zPErJOZciIUMjr1Vj2Ovk0tHscMc/ABSEbXsCC2dvncQCXk/fzclr56nY5UK/n3p3DqZWVFzO92f4dfKXIKFCBKMZgxx5VICXtwaAa4fpEIRqTku/yEN3zR/FIdGMQgyPbt2zfi9zEDIMRMr+PSnGeGva7FIH5+/A4IkJzLRPG1lOMhNI+BqLk+o7UHROIMGDAg4lomMtTLtNxmzefj9cMw766DVfsdjlAddjk27EP578+6MqXtw9Vj9B0qJTUsmrTf7hC1curjgYp92NdYPNFvgUlJVZ33OVeld+ypVk55RJUvC1eKTcvtrFLS0rV/2PK3b9cVm6nq6JUyGkvc5lqP1/8z6PIUmJk/+3ul2Nby0ojPv/zyy46Ho9tnLZ7Us0Q9nuJdf3l5ufr1118DbYO7jyCVaJsedT0vBEGof5599ll13nnnqdWraxeJEQShGUWI0YFnkJ6bm6u6deumDjzwQPXnn5HG6Jh7YyLcuXNnbWR7yCGHxKzSd/zxxztGv+ax9957J227d9xxx4Q7CHRuvXxijGGp26cDryh8qGzxxIvKgmVqwWOnqMUvXKbKl8+Lug32+pl1tj2n7A6q10whz22/ks0228w3Su7NN99U48aNqyWoYUa/yy67hPdnbYla+WE45TOrV3+Vu82Bqt1me6o+Zz+v8rY7VKV37KVS23Xw3ZeMzuHvdu+zn3Bh/Nzc0RRsBxU9K1b8FyGGRYu6cH+H1/EiAgxzfXtm3WtwyO8abcBof5dfSgPm/bFm3/2iGL2Oi11Fs6XAvrgjLG2MOL3llluqd9/FfDuSW2+9tUUdD6Fp4U5LI9XXjZmU8IqC9Kp0G4s137ymUwlJK+w0PGw8b8jqu6kjhhk67XGqyh6wU8z12qlwXm0WbY19L4qXnC33Vjmb7aHa9NlE9TrxAbXOpRNVu033UOnte+j3K/CBDFWpNV++pBa/eLla/k64kEs84jbXOmnt8WwfKfBBlw9VlKlQWVGt44ZRPt8dpNpfXWlojyepRNs8EO8vQWjaUDxq1qxZjb0ZQivjs88+U/vvv7/246Yfx1g/GosWLVJHH3206t+/v+4bIeK6eeONN9TWW2+tOnTooKthMwZDP2g1gtinn36qxS4EEoxrmWUcMWJExKzt+eefr6M0qMzH8gsXLlQHH3xwzHUjgPEjmIdfSlgi1CVlyi+6xwwc3AOiPffcM/DMOpFhZQEqSXIszPpJq7jxxht9UzES6bzSkZo9e7YaNWqU576yHi4oQ8msr1TRH5/o/zvtfpLqsu95Ki27veq42/Gq96mPq96nPK4ye2zk+V3puV3D+56/NJBwgSCJ/xZCYzSMkGqit1ge8dAMdPzEIvfxOuGEE+qUGuX1XX4pDYjLXq+DMbKONgBi2/Gpw7OGB+dES/TKQjjwMsQ2Yi377BfRQoMtCPWJfX1yrrq9o9yTEva1zLmLx11cXpVVlWr5pPtUqKpStRuws2rbfwfnLYq1QP4PE9XcOw5QxbO+cjy60vK6xVw1Kcq0PdyDSbW32yYE+FjiXzTYVjdd9jtf9Tj6llpVG8vmTVeVli9kPJFJw4cPD9wx43fCvzIRYdLAb4dQ51ftr7l5OnohYosgCII/a9eG7Qyi0bZtWx1MIggNSVFRkdpiiy20B2sQysrK9CQf9kB8zotOnTrpcRn9V6LNGTvzwF6oVaRMvv/++7XCP7m4f/jhBx1BtGbNGj0j+sILL+gZUsCPauDAgXrgShqhH5SL79EjPFOcKGPGjFHPPfdcUlOm/NLq3JFGJlVi2bJlgcqdxwODD7fRerTUinjTNExH3iuajX2ZOnVqrdeZvU9tm6farje49meyslXP4+5RZQtnqqWvXKuqnBn1FJWW00n/V1mwIqZwwblkDzBiYZejJ6oIkS0I9vFC5PV6n3WRNhsLI9IgdgVJaXC/TmNi0jNN9FMs75loJvwtBZPiazDHxhznINepIDQECPFUrA2avpSITx7+YvnfvK7a73C46jz8DLVw3nQdndt+6BH6fZ1GWVWplr15i+p+zG2qTe+Bqsuoi9WSFy7Tr/uBT6J9DRk/TJN2D+YvBVOYSOE69Nt+2nt8zKisnNV7oH5tyavX6VTONv02i1jWfU9wTwrF086RvhjrPsy+GbHSboeZ7aQDaf6+9957UcU/s+/Rqv1JlKogCELLgYmtTTfdVKWnp2sPZLJviMJhzPvPP/9owYDn3DvIlvJKmbzuuut0tA6WCldffbW259lnn3305BOZWEG2AS/iNm3a6MJfmZmZ6rTTTtPrFQQD5xSPoKy77rpOETqql3th/LEN9BHHjh2rrYDoS7U6U30EMODCB4QxBAWipAz4plChChUxGp988okW1zbeeGN1+umnqxUrYlcNdGPEMDPbngy/i6CGpSZVgpBYOsiJpJT4gc9Mfc4yR/OL4XUTteRmxfsPqqq1JeH/Jz+k8n94p1ZFyS4HXKq9YyC9U++wV0yoSlUWrYoqXLhn22PhHpAxECHVNVmz9UEijUw0iFsMizXLbl6HlhphUBfMueDGbnTFWFhorhE1dJYTuV+snvaiKl8xX6XldFQddz9Z5W1zoPOe49EYqlLL375DT0oginUcFj2C1Cs1HD9FIsZs7rzzTn2/496QmttVtd/xKF0wJSUzW2UP3FWl5XRW6R16qD5nPqd6Hn+f6nfey7rth7L/fldLXrxczb3jQFXyz/fOOgt+mRx1UigezCRGNOgnuNsQ491o/6VzGAv6N1LtTxAEofWAAIAINW3aNPXoo4/q+/j999+vfv/9d/3eRx99FHMinUklRLGJEyfqB5lVQSfzzTYweUNFdsS366+/XmdwCUJDQT+RwBkstIy9Uqsy1afjjNKNPxcqOSxevFg3DuSU2nTv3l2/Fy1dkrRKokBoHEh3Q82kk+mVxkA4Hw9Dfn5+rR+HkvBU7DMGsnWNPCPijW3bYIMNaq3TqyIXnW0i5YiKY/DgV5EyCIg7M2fO1MexLphtdh8POvyJRLVV5i/VPmgMuqpKwr/B6k+e0X9zttxHddz1OB1B1n6no7UxdNv1hzgVu0yUgvHtYt/s7ZoxY0adouy89ifIcazLMTrxxBP1uZLo+ea1z8n67ZON33GqD7yOC8/dxyXWddrSj1NzpTUfI2aTmQBKqK3DhH7SfarH6Nt1gRFD/vdvq5JZX9cslr9ULZ94t+p2yNUqb+tRqmLN4kAm+wa2bdttt9UplBSRIT2bSRpNWrpeb2a39VT77Q9TlUWrVXp7/5QQUu3xfwyvuEIXRyGCjGjjclehFRu+Dz/SWAKjfS7haRFrv2K1rfw+2ETEoqKiQq/nkUce0R5mxoDe697WFGjN11w8yHEKfowEobXBJIgdPUxAhz1mwN6GiK1o4z/uQ0SOmYgwUvgRF/C2DAIRYlSkN9vz4IMP6s9jHSAI9R0U1bt3b63HmP5OQ553TUYQo5P422+/6fC4ukJ6iYGwUy5wBrREje2xxx6e5v7/93//F3WdhI9ut9122iA9mZAr667ONH36dM8BOwPz7OxsVVJSPQBIEIQYZsgnTZqkkoHX7AGDMk7meFN37ApnEKoI59EXfP+WHhx1HXWx6jD0SFVVUqA67XGKfq/kr/BgDdGQ35IBg3vfli9fHne1MPt4IbBS3MBdLTPocfQ7Rgx4/AavRAnW5Zzz2udk//bJpiFmohI5Ll7XaWMiM3ZyjLzOazrL7jYunnZv7cKZWtyyo8NKZn9Xq/Jvyd/fqFUfP6M6DjtBm+zj5bjq07FalAoKkWI8bHK33FeLYXq70zOjimGQ/91btV4jWtiOGPYCgYkKyfQPgl5vse4hsdoQv9/HDd9RXFys18O9jKg5Iup69uyp7wVNte0GaZfkONUVzn1BaI0MGRKe5Dd8+OGHekzDRAuBGkyUUGiOa4SxoBcIZ3Z6JPeNpUsjPZajwXjZJt7PC0KicN7+/PPP2vYDEZZJUzy/3emULVoQY5aY0E6M1u0ZWzzAMBYkP9qOEqPKZDz+YBxQOpJ4b3gJYkR+ceANNDx9+/aNWIZOLCkdu+66q6pPiA7DZ8TLv+iYY47RxwdzOmaag8B6mBnAzM6eZSb6JRkzeXSAUXAzMjIi3tt33311VQkqHyYiQnlRPONTld97gMobsr8jhkHRH5/qv3zPVltt5fsbsf/2bDvHhdDgc845x3cbicZjPzH7s5cJehxjHSNy/RE6X375ZS262vD71/Wcc+9zsn77ZBPtONUHzeW4NPZxao601mPEhI9XO0ZhmnvvvTdw1Njqz8ep7I221ymKUFm40nO5/G9fV2m5nXWUWN62B6nU7PZq1dQnVFVpQcL7kNV3kP675pvXtRjmNs6nGuaiZ89TaXldtEZHdeVE4L5o7qfxnEt2u2EKrxh/xptvvjlqG+L3+9iwPlJlmkNbZNNar7l4keMUG3eGhiC0FhiPGCg4M3LkSD1xzlgFKyECRvCnZFzsJ4i5219zjwpKXT8vCIlCP8rYHRGRTzYPgnCrEMToHJ599tlqwoQJurPoNrpGLefiRCkkvQHIKaUSHia38YhMeIihdPsZ8POIBoNm/Mvqs7Nnm77TCBlRzPiMmeMzdOhQddxxx+lc71jbzOdoQEePHh3YlDleOCZex4XtxMyRdFMzEDB+bImKZKs+ekpl9dxI+4lB6YIZqnTuL4F+I44tIpT7ODDjQl6+e5s4/uQvk6Zq3xB4nfRbP2+veI4RvykPthuzQbcIWtdzzm+fmyp+xynZNLfj0ljHqTnT2o4RxWa8JlIQxHhganrPPfc4Yo5fGxwqL1PL37tPdT/s/3RULr5ifqya+rgudtJl5IUqZ9Pd9WP15+PVmi9fSmgfjFF+yd/fqrJFf6q1i2ertcvmqLWL/1bttztUFc1g8iOkKvMTE8IMFElx9zeCnEvuduOll15yvCWxZmDiza9oidfvY8Nvgm9LPPeVpkZru+YSRY5T9GMjCK0dPLS5V9x1112OJyj2AoLQWqiqqoqws2rRghhpkvhivfXWWzpUzviCtW/fXpeT5S+dS6K3UMfz8vK0gIYYZleYRDRARTzooIN0qB3pjwhoRJERfYPYQec13koFZtCQDDP9WPj5htEAsr/u7yZHnOP37rvvqhtuuKGWYENH3f5cvJUik4WptmWKILBfFApImKoKteSVa1X2htuqktnfR0QjYBwZax/dxwERkgGN1+CQ1+bMmeOZvkoUXzIxJu6Y3puopWSdc4312zd15LgILYlYbcgdd9yhK/cg5pACEa0dLps3XS14/BQVWluqPR2jUTzjM7Uqp7PqtHtYCOqw82gdVVb46xTP5YkqI+XdpMMbcjYfrtJzOqmq8lItgKnKCpX/zWvO+6s+fkolAzxaqHSZKHYVaK9CK9zvvNpb9+/jdb9J9n1FEARBaH4wZiWi9IEHHtDVJY3RviA0NoWFhbofaWCcTKojOg1FD8m6W7BggVOYEHjffHbZsmX6OR7xm2yyiX4dDYdic9hbIYJhDTFu3DhtK9QqBDGzo+5wONIBjz/+eP0/M9oIPAhcHCQ6m25DQaLGTIVKBgF4/RA9Raplr1691IgRI7RoFCsKzA0/2MqVKxskgsSrMiPPSY/0+25mknmQ3ukeBJmS8nTaWTfmiI0livC99vYkYrhvEyorUkW/f5xQ5cZ4Kk8aUdIr6sJdxTKZ4mFzjVoSBKFxidWG2GJOrHa4siB4ZeaC7yboyQm8xzK7rqs67XWmqihYrkrn/BixXLtNdlNd9q8RoyqL16jVnz2nCn+ZrNquH46MKvhhogpVxD8rGC3qjQi5/v376xSUZLWrXvds7sEce7/vsCeI8Dp1f/77779vsPQAQRAEoWmyxRZbaI9NopkRGMhWQTRobun0Qsvj+++/V8OGDXOeG8spMtcI1sHzlEw+G+yM7OhHgqGwBCI1GJgMxI6CvikBUQQ6jR8/vm4BNPESEmqxZs0aetWh5cuXN9jRmT9/fig1NVV/r3mkpaXp14N+/uOPP45Y/sknn3TWyV+eJ5O1a9eG3nzzTf03HtgO9s3s43HHHec8T/QRz7EyfPTRR4HW6d7eeI5joseotSHHSY6TnEsNy2OPPebcH2jXRowYUac22Dw673dBaJ1LJ4b6nvdKKKPrehHv9TjuXv2e+9FpxJmhnic8oP9vu8G2SdkO80hJSUn43hetXarrPfv2229Pyn2sKSDttxynZPe/+dsU+OGHH/T28FcQhOQyfvx4ub6EJtF+hxOThUbHpFMQfQTxpsyxHDPLZnl39JNJ5+D1xoZZclThjz/+WP9FUeavu+JYPBABEO/MP1FzxtPMDdET5vi7t9fPI0YQBKG5cMIJJ+h7DmbotGukjyeDFe/dr30dU7OyVa8TH1CdR16oVFq6UimpOnoMCn/9QIUqyp3P5G61j1NdsiJBo3w/iBqrj3tfXe/ZXhHNJsJMEARBEARBUK2nyqSQ/JS5RNI5GtO/yaRV4u0SbzolohbeOIlsA+HIeMy5xbCvv/46wtxY/KYEQWhpYAJPFVuMrBGMoqUdBqaqQi2dcLPqccztKrPrOipn0DCVmpmt1kx7QaWkpatQZbla8f4DasV79+nF226wjeqy/8VaQIO6GuZ7UV/3vrrcs5mQaah0fEEQBKH1Qgqb8Wvy4o8//tD+T4LQWhFBrImRLOGlOXa23abDbD+Ds1gDNJZP9JhdfPHFehBozJHNLH9zrvQlCIKQyCRKtLaWSsV4OgT1eVzy/CWq4+4na7P87I220w8o+fu7CKP+ktnfqYVPnq467HyMqiwpUFWlhUn/8erz3pfoPbs+C6kIgiAIggE/bWNs7ve+ILRmRBBroTTnzrad5hmEE088sU7fR1QaBsdiZi8IQmvFpJB7iWK8jqFvu3bt9H0kCFVlRToKrGjGp6rbIdeqlPQM/XrBT+/WWraycIVOtUyUaJFtTfneJ4VUBEEQhPomPT29SQdECEJjIx5iLZjm5n1lfM/iTdlJRql6twebIAiCEOaJJ57QbeNVV12lI3fjofTfn9WiseeqNd++oZa/c6f2F0sEvpcoNS/B66GHHvL93Isvvtik731y7xEEQRAEQWg8RBBr4TSnzraX71ksmnoaqCAIQnNOmST6Cp8sO/I4XlGsfPk8tfrjp1XRH5/Uem/PPfcMtA7uDQhbeE3aIJLtv//+vp9bd92wkb8gCIIgCIIguBFBTGgyGN8z92DMrgTJ/2aZppwKIwiC0Jzwq7qLSGZXPkSUouhIvKJYNIKsi/aelM3XX3894nV8zRYtWqQOP/zweosgFgRBEARBEFomIogJTQZ3GXszSLKjFhiwMRhrLmmggiAIzQFTdTdIFC5FR4499tikfO+HH37oGRlMW2/uBWbyo7Cw0LN68vbbb69eeeWVQNsuCIIgCIIgCAYx1RearMnw0qVL1RFHHBHxPoMhZvxJAxUEQRCSh1/VXXcULn6P48aNq9dDz0QI/l9du3bVohbbwPe6qyeDl6AmEcSCIAiCIAhCLEQQE5ocpoy91+BHZvwFQRDqjyBVdxPxe4wX2voddtgh4vvd1ZO9xDG455571KGHHirp9IIgCIIgCEJUJGVSaDYplDLjLwiC0PjFWLz8Hr18HhMlWltvV0/28jLjsyKGCYIgCIIgCEEQQUxo0tiDH/EMEwRBaBpccMEFEZMVt99+u26n582bp+bOnauuueaahNaLF1istt4IdniZyaSJIAiCIAiCkCiSMik0mxRKQRAEoXF56qmn1KmnnqpTFYkGI8Xy3HPPrdVGjxw5Ul1//fWB18u6nnjiCXXYYYcl7Dvpl+IpCIIgCIIgCF5IhJggCIIgCDHB19GIYcb4Hr8uL6666qq4jiiCGMJWfaR4CoIgCIIgCIIXEiEmCIIgCEJMvMz0MbcnOssWo7777js1ZcqUuI4o63WvRxAEoSkwadIkNWPGjMbeDEFoUUybNk3/letLqA/mzJkTeFkRxARBEARBiIkx049V+ffOO++M+2hKBWFBEJoaZWVlum26+uqrG3tTBKFFQp9Cri+hvqD9ph2PhQhiHpAGAgUFBSojIyP5v04Loby8XBUXF6v8/Hw5TnKM5FySa65JIO1S/R2nvLw8dd9992nPMEQxOrL33nuvfp31wIIFC7Qxfrzpku71NAXkXJLjJOdTw2Kuf9MPb2yysrJ0FOz48ePVwIEDG3tzBKFFQWQYYphcX0J9QFTv6NGjdTseCxHEPFixYoX+u9566yX/1xEEQRCEFgCi2Nlnn60fdYHBbzLWIwhCy4AJ6fbt26umAmLY4MGDG3szBKFFYdKQ5foSGhsRxDzo1KmT/kv5+KZ0Q26KM3l9+/ZV8+fP1zP7ghwjOZfkmmtspF2S4yTnklxzTRFpm4KJ44hhvXr1aoBfRBAEQRBEEPOENBBADBOhJzYcIzlOcoySgZxLcpyShZxLcpzkXGpY5JqT45QMZCJaEARBaEjCyo8gCIIgCIIgCIIgCIIgtBJEEBMEQRAEQRAEQRAEQRBaFSKIeUA1gmuvvTZQVYLWjBwnOUZyLsk119SQdkmOk5xLcs01RaRtEgRBEISmR0qoqdQ2FgRBEARBEARBaAL8+OOPasiQIeqHH36QKpOCkGSef/55NXr0aLm+hEZvvyVCTBAEQRAEQRAEQRAEQWhViCAmCIIgCIIgCIIgCIIgtCpEEBMEQRAEQRAEQRAEQRBaFSKICYIgCIIgCIIgCIIgCK0KEcSEwPz7778qJSVF/fzzz77LfPLJJ3qZ1atXJ/XIss4333wzqesUBEEQBEEQBEFoTjz77LOqQ4cOjb0ZgtAiEEGshXH88cdr8YhHRkaGWm+99dQll1yiSktL67zuvn37qkWLFqlNN900KdsqCIIgCIIgCIIgBOeII45Qs2bNkkMmJI2CggJ13nnnqXXWWUe1bdtWDR06VH333Xeey5522mlaa7j33nujrvORRx5Rm2++ucrLy9OPHXbYQb333nvO+ytXrlRnn3222njjjfV39uvXT51zzjlqzZo1DfrLpjfotwkNwt57762eeeYZVV5erkuNHnfccfqkve222+q03rS0NNWjR4+kbacgCIIgCIIgCIIQZu3atSozMzPq4UA84CEIyeLkk09Wv/32mxo3bpzq1auXGj9+vNpzzz3VH3/8oXr37u0sN2HCBPX111/rZWLRp08fdeutt6qNNtpIhUIhNXbsWHXAAQeon376SQ0aNEgtXLhQP+688061ySabqLlz52qxjddee+21BvtxJUKsBZKVlaWFKyK6DjzwQH0yf/DBB/q9qqoqdcstt+jIMRrSLbbYIuKEW7VqlTrmmGNU165d9fucwIhrfimTkyZNUv3799fLDhs2TC9jc91116ktt9wy4jXU5HXXXdd5jvo8fPhw1aVLF9W+fXu16667qh9//DHqjeKss85SPXv2VG3atNFKNvskCIIgCIIgCILQXNhtt930uIboHMZCe+21l7r77rvVZpttptq1a6fHc2eccYYqLCz0TZk04y3EDMZYjKeOPPJIHfUThPfff1/ttNNOep2dO3dWI0eOVLNnz66X/RWaHiUlJer1119Xt99+u9pll13UhhtuqM8p/hLlZViwYIGO6Hr++ed1Jlos9t9/f7XvvvtqPQG94KabblI5OTlaUAOyzvhelttggw3U7rvvrpd55513VEVFhWooJEIsIKiaxcXFqqHJzs7WIlSioPR++eWXWjQChCMU30cffVSfnJ999pkaPXq0FsAQoq6++mqtBBPOSKP8999/64vEi/nz56uDDz5YnXnmmerUU09V33//vbrwwgvj3kYaa6LYHnjgAX2c77rrLn3x/PXXXyo3N7fW8vfff796++231SuvvKJDK9kOHoIgCIIgCIIgCM0JImdOP/10NW3aNP2ccRjjHQIY/vnnHy2IYYHz8MMP+64DAQu/5YkTJ+oAh8MPP1xH5yAwxKKoqEhdcMEFOr0N4e2aa65RBx10kA6CSE2V+JmWTkVFhaqsrNSBJjYEvHzxxRdOUM2xxx6rLr74Yh3dFS+s/9VXX9XnGqmTfpAuSXplenrDyVQiiAUEMQxFs6GhUWJ2IB5oCNlWTu6ysjLdkD344IP6/5tvvll9+OGHzom4/vrr6xP9scce04LYvHnz1FZbbaW23npr/b4dyeUGxRg1FwELyP+dPn163KmZqME2jz/+uJ6h+PTTT/UMhRu2ETGPmQzEQiP2CYIgCIIgCIIgNCcY1xCdY2BMZWAsduONN+pUsmiCGIIFkWMmmADxYurUqYEEsUMOOSTi+dNPP62DJQiSEO/olk9ubq7WBm644QY1cOBA1b17d/Xiiy+qr776SkeJAeN7RCo8vuIBbYB142eOPkHKJemRXixfvlxvA4E2DYlIvi0QUhdR9L/55hsdeXXCCSfoho5oL4Q90hM5Ic3jueeec8JimZ146aWXdNgtMxFEl/kxY8YMtd1220W8Fk3x9WPJkiXqlFNO0TcDQnxRhRECEb78Cgewf9wsuCinTJkS93cKgiAIgiAIgiA0NkOGDIl4TvDCHnvsob2bECsQt1asWBE1WwnhzM6swVpm6dKlgb6frJyjjjpKB0owDjMBEX5jMaHlMW7cOJ2pxTmH/RIRipwTBNbgSX7fffdpwTXezDXG60aXQGdAm0BodZOfn6/2228/LZaRrtmQSIRYHKmLdu52Q35vvBBRZtRcFH58wp566ilH4X/33XcjzPGAEx/22WcfbWiHNxi+YzTGpERidpcIXERcXDaY/dtwYdDIc6ER7cW2IKzhFebF4MGD1Zw5c3Q4MTcMQoLxSWtI8z1BEARBEARBEIS6YmcD4cdMhgziAdFdnTp10tk8J510kh4b+Y0N3Z5OCBdEjQUBDyfGYE888YQ2S+dzjBv9xmJCy2ODDTbQ2VmkNCJOIahSzRSR9PPPP9fiKlZFdgokVkl4g7s9xG0oEGF0CYRfvMMZ85OdZtsnURQQQZcIsiD+ZMlEBLGA0KjEm7rYFECQuuKKK3ReOOV5EZtQ+0mP9IMQWUQqHjvvvLPOFfYSxAipxMvLxpjk2etavHixFsWMomyb8gP58oQA4xsG+IERMhkNZi+4SHkceuih+iKidCs3DUEQBEEQBEEQhOYG0TgIUljSGP8ufJPrC4IS/vzzTy2GMe4D4xsltD7atWunH/jQTZ48WafykmlG8IkNxR+IXCQTLR44t7FxMiC+sS40CnQFt49ZQyCCWCvgsMMO06IWSuxFF12kzj//fH0y4sGFcR2CFAITAhgmiqi3mOVxsuJHhvDlBbnsNNasm1KtNOCEUrorpyxbtkxfTAhXVDEhsovvM5AqSZgmvmVcFKwvWilhKq+gWuN1xo0Cgz6qatrVVgRBEARBEARBEJoTRNOQTUOxMSK3GKdRDK2+6Nixo64siYcz4ysCJy677LJ6+z6haTJ58mQdwEKKIzZLjMcHDBigBS8itjhHbHiN8bftd0dmGcUYqJoKl19+uc4+I7KMKLAXXnhBffLJJ/q7gHH/iBEjdCowRf94zsME1aSlpTXIvouHWCsAAzxOTEQpTkwqSVJtEqGLyCpSKKliYsIaWYYqI5Rd5UTEU8wLTm5KpVLRhLRMGmtM+234DqK/HnroIb3Mt99+q0U5G9I5UaFJhURpxhesW7duvvtDOCX7goC2zTbb6DBNUjylCoogCIIgCIIgCM0VxktM/mNiTtri888/r8dt9QXjJ8Z6BDbwfQRO3HHHHfX2fULTZM2aNdomCRFszJgxOnAG4Sqe9EU8ye0sL9IsWReiGWIZ6ZKsEz9z+PHHH7W3GMb7CMEIsuZBxlhDkRJyGzwJgiAIgiAIgiC0YhiskTWBUMCkrSAIyQOhb/To0XJ9CY3efkuEmCAIgiAIgiAIgiAIgtCqEEFMEARBEARBEARBEFoYeILl5OT4PnhfEFozYqovCIIgCIIgCIIgCC2MXr16qZ9//jnq+4LQmhFBTBAEQRAEQRAEQRBaYHE1DMsFQfBGUiYFQRAEQRAEQRAEQRCEVoUIYoIgCIIgCIIgCIIgCEKrQlImPaiqqlILFy5Uubm5KiUlpeF/FUEQBEEQBEFoRYRCIVVQUKA9jVJTZc5eEARBqH9EEPMAMaxv374NcPgFQRAEQRAEQTDMnz9f9enTRw6IIAiCUO+IIOYBkWEwZ84c1alTp/r/FZop5eXlasqUKWrEiBEqIyNDNTVef/11NWvWLHXZZZc1WqRfUz9GTQU5TnKc5FySa66pIe2SHCc5nxqW/Px8PSFt+uGCIAiCUN+IIOaBEU+4Iefl5dX7j9CcBwvZ2dn6GDVFsefEE0/Uf/faay+12267Nco2NPVj1FSQ4yTHSc4luebc/Pfff7ptWG+99VRjIO2SHCc5nxoHsSsRBEEQGgoRxIQWz5IlSxp7EwRBEIQ4vTyNdQGeQjk5OXL8BEEQBEEQhKQijpVCqzBpFQQhefz999/q6quvVitWrJDDKtQLlZWVEb6egiAIgiAIgpBsJEJMaPE0piDGd0+ePFn16NFDbbfddo22HYKQTLbddlu1atUqNX36dPXmm2/KwRXqtd2WSQ0B5s6dq43W09LS5IAIgiAIgpAUJEJM8ExVaUk05mBqwoQJ6pFHHlHbb799o22DICQbxDD4/PPP5eAK9X4famn3pMZm9uzZ6ptvvlHNibffflutu+66atSoUY29KYIgCIIgtCCaRITYQw89pO644w61ePFitcUWW6gHHnhARyB48cQTT6jnnntO/fbbb/r5kCFD1M033xyx/PHHH6/Gjh0b8TmM1d9///163pPmD9FMRxxxhHrqqafUIYccoloCjSmI/frrr4323YI348aNU5mZmfo8FwTBv92kSu+GG27YKBE5tggmEWLJhd8U5s2b5/i0NXXuuece/XfSpEmNvSlCK4TzbsaMGY29GYLQopg2bZr+K9eXUB/MmTOn+QhiL7/8srrgggvUo48+qlPK7r33Xi1e/fnnn6pbt261lv/kk0/UUUcdpYYOHaratGmjbrvtNjVixAj1+++/q969ezvL7b333uqZZ55xnmdlZTXYPjVnOG5w6KGHtphBSGOnTApNh5UrV6oxY8bo/w888MCktwuPPfaYNv8+5phjVGtAKoG1XB5//HF12mmnqRNOOEE9/fTTDf79Ioh5s3TpUtWpUyeVnp5Y9y0/Pz/Cm625CGJyLxUag7KyMj0hgGemIAjJJzU1Va4vod6g/aYdb/KC2N13361OOeUU3ekGhLF3331Xd8Avu+yyWss///zzEc+ffPJJ9frrr6upU6c6A11goItvkyCIINbwrFmzRhUXF6uePXs2qROwsLDQ+X/t2rVJFcQYXCIgAKI9N/loYgOTAaTU5uXlJW0bBCFZ3HDDDfovE0siiDUNmPjbdNNN1Q477KC+/PLLhNaxbNky5//s7Owkbp2QCBQmeeWVV3TEMkJnfUCVViIw9ttvP6nWGif0ESjwMX78eDVw4MB6+X0EobVCu4TYLNeXUB8Q1Tt69OhAY71GFcQYkP7www/q8ssvd15jELnnnnuqr776KtA6GHSXl5fX6kgQSUaEWceOHdXuu++ubrzxRtW5c2fPdaAc2uqhmUFlvTwai4qKCjV8+HA1aNAg9eCDD8Zc3qQ/JCtqI9a+m/cb8xgFoT5+RzpII0eOVBtttJG6//77o/6G9nYkCuvxiwhA8Pvrr7/UBhts0GTMhjt06KD/LlmyRF+DsWioc8n+PUpLS3WUabKwB5q0bdF+i//973/676233qr+7//+T/+/YMEClZubG1Uga2rXHG2N37YQCs/vf/DBBzfoNjW1Y9QQsK9TpkxRO+64o3PtBfmM/dcN1y3nJCxatEh16dJFNST2PZnrqTF+z6Z2Lhlhkv5RottkH9eSkpKk7FtDHCd7Yqup/B7JOE5E49NfZWL3vffe0///+++/2vojWTBBw0QzbfFLL72kmjJN9bdFDBs8eHBjb4YgtChMGrJcX0Jj06iC2PLly7Ww0L1794jXeT5z5sxA67j00ktVr169tIhmp/1x419vvfW0eewVV1yh9tlnH92J9Bqk3nLLLc6g1Objjz9u1BnUn376SQ8qeey7775Rl/3ggw+0Fxv7bqJU6kpQrw6+uynzyy+/+IqhiUJKL1GJPEjx9RMh7fzlRL1PiCR67bXXtM8epsIGrh1uJv/8848eKCH8nnPOOaopwXa5Z1UZZDMbdNhhh6n111+/Xs+loqIifXwQlRHbaXMMeAomMzpr/vz5zv8MPoKkNOExx3lBRN1xxx2nBbogA5amcs0hVPid16SkAu0S6eycrw0p2Db0MWLATpof0Rjt27evl3RSBAzOY/ds14svvqjbCe55xmuprseJ38tARNJ9992nGhKOo+Gzzz6LuL4amsa+3hCWMzIy1N9//x34fsK50rZt21qv//fffxHHFbGzqR0nRBEi4PCUNQIvkVSGuvqI4UXLd5xxxhmqIeE7aSPs44QABvQl2C/TbpLeP2DAgKR8L/cjeOONNwIdu9WrV+t7pfGa8+PTTz/V1ymTg8mCSW5BEARBaFBCjciCBQuY8gt9+eWXEa9ffPHFoW233Tbm52+55ZZQx44dQ7/88kvU5WbPnq2/58MPP/R8v7S0NLRmzRrnMX/+fL38okWLQmvXrvV9/Pzzz3p58/zhhx8Ovfjii1E/E+vx6KOPhq699lr9/+jRo/V28Ij1uW7dugVe1utRVFSk/5p1BFkPn3nzzTdDv/76q/4N6rLf9fEw+/Hkk08mfd1ff/21s/78/Hzf5S644II6/S72fuy5554Rr19++eURv1ddvqO+jv2nn35a672NNtpIv9e2bdta55I5D+3H+++/Hxo6dKi+3uLdjk033VR/14MPPqifm7aAx7x585K6z2xfkHPCPj5nnHGGfj5p0iTntccffzz0119/hQoLC3Ubt9lmm4WmTp3qHKf7778/tGTJkkb7bdk3s61du3b1XObzzz93lmHfrrjiilBGRkbo+++/1++XlZX5rv+3334Lbbfddvp8iLYdc+bMCb366qu11uV3LrEc95z6Oi52e33hhRfW23Fv06ZNrX1ed911ne8+7rjjAq0v2jXHY7fddgvctvitoy6PhQsXOt/97bff1vnY0c/gXh/P52Ido4Z4LFu2zDkO55xzTqDfg74Oy5x99tlR2ymu02RsY7KPk7m3bbLJJs5rO++8s+++v/POO6FDDjlEnzOx1r1y5UpnPf/++2/M9iiZj+7du4dSU1NDK1ascF5zX2Pmf9r54uLi0A477BDaf//94/4u7h9cw7RF8fYRzLL0c4Is9/vvvwdaL32xgw8+OPTff/9FvM5+mv+XL1+u10nfuinwww8/6O3hryAIyWX8+PFyfQlNov1uVEGMTkhaWlpowoQJEa+PGTMmNGrUqKifveOOO0Lt27cPfffdd4G+q0uXLlpsCgI3Yg4gN2Y/6ICxzJAhQ/TzWbNmOZ2DIJSXl+v9d2N3MOxOjJvKykrd+Vy6dKl+TkfLa1m+Y++99w499NBDvtvCd6Wnp4cuvfTSqN/phs7L66+/7ixfUFCgX0d0QIh49tlnQ3fddZfuxK9atSp0zDHH6MFxQ2G26+mnn076uv/44w9n/eY38MLujCaKLYjZ5OTk1BLEGhvEnJ122snZHrfYDV7by7n0xBNPhD766CPf5TfeeONA21BRUaE73PZnOVaAiGILYghLPJIBQo5ZN9emH+yjWe7MM8/UrzHgt48L1yNimftYIYzx/4Ybbuisr6qqKvTAAw/owUtdQdi+8sortYDgBQPOlJSUCEHMi/32289ZZsqUKc7/tEWIUn369Aldd911np/dZpttAp3PAwYM0MvQtiG8mvaUc8mIaV7X4htvvBGKh48//jg0aNAgLR4Y+C7aYJv6vhbt84v7h02/fv1qfXdJSUnok08+qXUcDF7H6ZlnnnGOD+1NkP1B5OR8veGGG2LuwwcffBD65ptvAu0v7ar57h9//DEUL/QNOEfuvffe0PDhw/V6uE7iwe9cakhsAQuBy/xPn2PYsGH6+nKz/fbb+/5uTGDZgliQ38F9vtXlOP3999+hu+++O2obaZ/PBlsQc2OLwbFYvXq1s/zcuXN1W4egfOKJJ4bqAsIlYpsb2mcmZA488EDne7lm3NvOw55soH384osvnOesJyj8xueff36tNokHky1e92Ubs+ztt98eaDnuPUG2zyx/1VVXOa999tlnWuQ3fVTT/xZBTBBaPiKICfVJsxHEgEiws846y3nOIKN37946MsKP2267LZSXlxf66quvAn0HEV8M4t56662kCWIHHXSQ50A1yECIfezbt2+oR48eER1NXrc7GO7BCAN9xIajjz46QnRAnLMFMRoYOicM+IMMaOyOmj3YjQWd3+eeey5ithX22muvWp2wwYMHR6zXSwwEOqhHHXWUFghiEauTbr7v0EMP1YPw+hLE6GDWlyB2/fXXO5/fY489It5r165dXINwfq8RI0boqDUvOP/qepzc2+N1jfoJYuY189sj1CKkmtc7dOjg+dsjuq633nr63IEDDjhAL//ee+9FfBfXBIMx8/zPP/90/vfab6KPbBEdMejGG2/UkaOxBAsjDnsN0u1tMoIYAxSvwYv7WJ188sm1jt1rr73mvLbVVluFHnvssbgGTzZmPXabbHPrrbdGbBPtMMfIXPuGkSNHOssgftmCGOu294FttbeXttHvfGbyxAjc7uNz6qmnRh2c28sGaV+8Psc1QrvauXPnWlHM8VyLiWBPkiB22djH2Hz3YYcdpv8n4toL93Gy7xde7bgfRG+aZbhHcR14nX8mItz+3WnTuJd6sXjxYmf5oBNfNl7XUFBRPVmC2EknnaQn+BCVnnrqKR21Y8Pv6BZW3fz000/O9p922mnO/1tvvbXvb0NUkd97tsCG2BsN00Zy/w56nGjzOSf8BHrEU7/zknaT40FbH00Qo3257LLLnPfM6wiENjNnztRiKIK5wb6ncM9gEsc8J1IpGrQbrNMNv6N9DZiJQQQuIpzd56HdObdfJzvA/M/ExCuvvOI85xwy6zZ49aPsyEqvh4nQ9pp8cm8T7b0fXL9mOdpkJp2jCWhsq1n+hBNO8Gy7QAQxQWg9iCAm1CfNShB76aWXQllZWTqaCJGBQQ2dITrDcOyxx0Z0fLhBZ2Zm6kEgA1PzMANQ/l500UW6U0Y0CKkDdOboBJAuEQRzQybcfMaMGbXeJ5LFPVAwEWNBBkL2DCVinYHOmD0AcH8Hs+ReHRwGwbYgxsNOwYq1XYTje603FkZgMcszoLI7dH4PZrb5DZnBtCGc3l6OY3D88cdHiBX87kQxMEhAENpxxx31QMMLe118H+cXAhO/lZ+oERRb/GC9ftgpk27oWDM4CTIQ4rH77rtHvE/KoddvRsST2T861UbcIPLDLDd9+vSIQQ8deoRD3ps8eXIoUdzbw6CIAQ6DAlJAbNGXhxkM2oLYfffd55zrubm5zuukRwMNG7/nTTfdFPGdpKzZz01UiHlw/dsiGJEq9vtEJpnoGNoR8/o///yjXzMDUAZmXnBMzWcuueSSiCgrrnNEcyIFvAQxBmyxrhsgytI8HzduXOiUU07xvOaI3PSCwaCBNpJBqT1IN5/nurKvubffflv/z0SF17YRreslZLgfiCzss/37IywRjcRgj9/Urw2yB2BEWPgdoyCCWJD2zetz++67r+864l0/A1eutaDipS3C8/jf//7nDJB79epV67vN/0RhuyGSBXHYPk62UMLv4t7XiRMn6muA6BMbzhWzzHnnnaf/0s66saMg2W47fdnr3mzS/syD9gMBzW67ouF1fvTv3z/UUIKYO7XY/E//wVyL/DaIV17wvdxf7Xs5UUzmfyYO3ecafQt+R1sQc59fpoMYzUbCQJSSffz8hEn7OJEazbIIX16Ydbn3m3sWn2Gfad/d+2ZPApoHfTx7nfTZOK6c27DlllvWWo9JyeOBkM8EQhAByC3o2tkKpLWb97h3mP4B/bJrrrmm1nbbEY/267bgSZr52LFjffsATATxGlGXhnvuuce37XU/2C4vbHHv5ptv9j0eTEqZ5ezJOT/sviL9eoP7PBZBTBBaDyKICfVJsxLEgDQGQuTpBDE4smcWd91114gw+HXWWcfz5s6g0IhK3HjpgNIxY3kGjUZgC4K5IXt1oN0ihbmJv/zyyxGDiWjYM3hEu3nNXLoHfKzTTnWI9aAj436NDgzRYO5On3vgE6tjY6Dza8/kkqYWZNvsQb19rPyWZ/vAFlM22GCDiGUQ4+wOnTs6yP3g3AgCnXRmoxkM2ti/hdcAzczcugUxzi0EOVsU9UqzcKfWuWe/7U6r/WCgaXfMzf8MPl944QXnubmmzOy1nWLD9WPDdyGK2GKKgcEWnXvSkux0RPNwp+Hagw8ezCojHrm9U9zCiC2I2REp9nlz5JFHRjxn8Gx/nu23o2ymTZvme96bKDN78OK+vriO/QQxdwSEeQ3/FHsZ0iK9Bv9eD461+/M8jE+a/bBTUgyktPEePof2Nl199dW+ghheN7Zo4dWuuNuLLbbYIlA7wIOUPvM/aTN+6wTbo8vvwXXFNWYG5wwW+d8We+x1M8jld3zkkUc8o/pI64r2fTbu9zhe/GZsB20X5wNRW0bgN/trxEvaZyJuGaQjkBLNZA92mZxxfwcRSAitRBu7t8uO+nVj3iPi0ETF2G0a245tgd9+E+FhhBYvocJ9bNzpvxxXhGb7ud82ej2MqOSG9g/Bmihqr88xMRYUfgMEQKJejCBGG8K5YqLHSf1jIsFErCIy0IdBZLbbePeDtv3555/3PFbu/R84cGDE9pv/3ZE1YHuJ2hMDfsIk7X80/u///i9iXT179owpiNnLe4m95j36du5+oHnPRJHx4Dqgn+R1HOl32evcZZdddNQq/9vRwPYxYsLIvEY7774n8bvEuh977Y952IKj38OeCLNfpy02/+OjxkSx33VlnhNR67ct0R5eKetuAdRMOsWK+PISMP1+dx5kAXgJYtzbTT9SUiYFoeUjgphQnzQ7QaypYQtiPOyBrx0JZncACBk3z2Ol8pFi59XBsSMr3NErDKL8BvBeD69IDjtCiI4j4p5fiqPZLjrP+LC4BSGg82s6nzzcKZp+DzpDtjBlIgD9lkcsdUfQuR90fjnubg+raA8iLhhQIpj64T4efA/7bQujpqgDA14GT3QiGYTye5mICfN5BgHu7fArCkE6i72cPYA499xzPffJHsDb/iPMWLsFMX5Tr3WQ1mZjvEi8IhnsGWzSyGIdc9tbyn7YYhIDo2iCGANO+5ja51W084hryB70+w2a3eswv49XZCaFNBAVEDzcgpgZiNrRnp06dYpYhnOP68/eJ78Hg1Gv1+0UQy+Ry30uc+17ndtuQYzjZQ+QaBejCWJEkbm9rGI9iIKI9r7ftRjtQVQGg3PSoaItR3Sy/dxO4zEQyRBtHdEEfa5Fzg0mDThPzOsMAL2OP6Iy/xM1ZF4neppII4QFL0HMjtCLdg7TNtrihP0e3wv2+YugY9sCeD2MsGpHI5kHYl+03w5Byf59EI/8ztdY5waiKp1q40cU7TO29140bCGYds0IYrZQbqcPu0Vmfm+us2jbYrcF9DG4frzOJyYNvD7vlVrs912IPgbbjuHdd9+tte+INUZoslP2zbkZjyD2/+2dBXgURxvHX6IQIAGCa3B31+LOh7WFFitQaCnQIjUqUGgp1Cg1CgWKt6U4xd3d3V2DB4uR+57/3M1mb7N3uUsuOXt/PEvudvf2dudmZ2f+8wom4Cz9rmqhzpLFZ2ILJj5hNaVXVrhm3D/q3wj3vNalUBt0XpYn6gAC9cu+jzoWoryX1Far9ix4pkDkQ5lprT7la/SLYP1uqd7L95j0Tez311v0rDi1+1iLC6jujyFRgPb88LzARBus1LXl9Oqrr+oKYljkM4cFMYbxfFgQY1ISFsQcLIhBEJAdVT3LI8ziq99L6yDMVsNFCwMjCGbSSk1rZSZRDxBscaGytujNqKpnl2VHXy94sp6ggkUbHwKdX7VLm3ZG1tKiN2gGlvZHwFutBZ12gcioDjhs74KOsrUkB1ikgIQOuHoWGJ15tRuYWjBRC1eWrlEG2IUrKeqJdIPS1oFy5cop56VnTaO1ClMP+CEEYUCgFsSslQcGA7BWwV/1IAPA2gx1BgMEPeukpAhi6gVuhYjVZUkQU8ejgzWNrfUI9VPPwjOxuihdxKx9BmWhteCENZD2c7aIhvYuancsPes01Cd1uyXve+01a9dpBTjEsNETKpOzwJLN2na0LzI2nD3HhfgPd0Rr+2itTCFcwVoT7RpEKD2rMu2ijsOj3aZ+jmiFUO3+EKGtfQ+sH7WJVtSLeuCvd3yIhFKc0Lot49zQKVW7gaOtlS7U1ha125S2TgI8G2FRpd0OKxCZzRkLApIDtMEQkPVc/rUL2iV1O4YJDsQJtfYZWFUB3Kt4XliyHG/RooXyGbS1EPCsiR+YGFLH8itUqJBd9VUmSEH7j8kw9eSVntWXdrFUB9WLjHWpnliDcC5jYkHgUIuiEIOlValcLLlB4p5BfD9LFvR6z1RYfsM6GM8QrYWjIxZL7oPaCUm9BcIqJivU1wDxUL6XrvXavqKtC+IuJrYPrKu14Tn0fmvZP7K3jcQz1tJvIxdYCEpgNYrA9whjgftH3dfQOz88g+Q6vf6RnGjSCmIQAvGXBTGG8XxYEGNSEhbEkoleJwfxmtAh0opf2kD06oDHmF3Ee5kNDSnEgVZEkKgzVSY2mEtsQVwLW/YDcMWz9bjS/QfgtTp2hDULBls6Z5a2YXCRWGyi5JaXXGSmI4hRWmsuBG6Xr9VWP5bEJWQgxUyofG/p/CGmqOPDSWshPRexxAQxdZwTDKLlawzu1YKYrQvKQC2MALU1kzp2ii2LJWtEWxYpiKld8iA6asvH0ufRAdcGH9dbEFtL/R5uUepsqpbqjTZTpJwFT2lBzNIi436pY7dI8UR7XlIYsHY8CBiOFsT04uvoLYmVv3ZRBxy3tMAdXm89MkpqxTJLC4QftId6YoklK04siZW1pfpraZvaZQmLpQxz8j7SW4+YdGqBqlOnTomek56btHqQbk2cVgtiEGzxnFRbmti7IGOiNuaS3qK27IIYaCkmpnZBfNOknputi0yEoF608eEs1SdLv4Vc0HdBndQmxpCf1xNl1e7plgQxPAvx/JVCht6x1UmB5Hp1Mh9XW/BcU08UArWVJxb0EdTul460jMUCsRDxcPXKUz3hiX6JxJ5zgLUvhC1M8EEk1fu8DEWCvql28gKTB5Z+b0timT3lwIIYw3g+LIgxKQkLYsnE2qyfNq6T3iIDuupt0+u0YjCFjolabLMlOL21xdpgTL3ANSYx1w7tTDbcDDH7p46PhSWpbg+JLTKOmzUXKCk6OmKx9NupF/XMudY6IyUXWOloraISG1BhQaOQFEFMa9GHzItaqzV7joWgx8m5ftRXCBbJ+e1SapHBpBP7LVJrgcWT1oVJ1ld1rDksEBkTG8TAssKacJ2URRuzJjUXR7UZaGstWUo5sp5aSqqiNymT3EXtumVtQbw/vfWY9LF2jbBGS8ylNSnlk5ibp6XfAiS1fXTkotdmaNsVvUUGWE9q22vpt1LHCLUUiN+apapss5Njve2stkEt3lkSmNVWgfYsELsS20dtYaVetNamEO+BLcdULxBG1ZaMenXAlriNenVJzw3V3oUFMYbxfFgQY1ISFsRSUBCzNADQLinhApASizqIa3IXS7FOkrtgsA7UGQJTcknMfcmZC6wFkA3R0na9zJNYYL1kaQY/scWatYw6i5cti168IXsWDLqsCRnWrGi8bcFgVh2QW11H9AKm68W3Uy9IUuBoQUyb+CA1F2vCqr2LpSQXlhZg73doLRBdecF9rnW5106eJGbRZO+iznZp72+hjQPqrCUlRXRr1qn21ke40sNaVBuGgRfbykA7mai3aLMkW1vU1pa2Ltr4cElpkyxNGqtdjpO6sCDGMM5n2rRpZlnEHQ0LYoyrCGI+5AL89ttvFBYWRmnTpqXq1avTnj17rO4/b948KlGihNi/bNmytGLFCrPteK4PHz6ccuXKRenSpaPGjRvT2bNnHXKuiZ2b5NatW+QOXLx40WHHunv3LqUEhw8fpiVLllBUVBSlBqtWrSJX5caNG7R3716L258/f667fsiQITR27Ngkfae/v7/FbZcvX7brWNHR0ZQc7ty5Q6dOnbK4vXz58sk6vifx9OlTOnnypG4dWbp0aYL1mzdvtnq89evXU0REhEPPEcd0Fr6+vg47VkxMjF37HzhwwO7v+OSTT8hd2LlzJ9WpU8fi9ps3bzq8Lm3fvj1Jnxs1ahS98sor4jnjbB4+fJhix753757FbXFxcXYda/ny5fTpp586rF/lbbx48SLRfdauXWvz8dBvthf0kdUMHTqUHEHDhg1p5cqVDjkWw3g69evXp0GDBqXIsTGuHj9+fIocm/E8xowZQ1WrVqWMGTNS9uzZqV27dnT69GmzfSIjI6l///4UGhpKGTJkoI4dO9Lt27etHtcWTWb06NFUq1YtCgoKokyZMpEzcLogNnfuXDFYHzFihBgkYEDbrFkzCg8P191/x44d9Nprr1Hv3r3p4MGD4gfDcuzYMWWfb7/9ln7++WeaOHEi7d69m9KnTy+OiR8yucyePZs8CXe5HvzG69atc/ZpuC3btm1LEdH0wYMHdh0rtURNxn6RxlEDOXchTZo0DjuWvRMgePDbiye1f23atHEZ8Rp9j/nz59NPP/3k7FOxSwRxJLt27bJr/+7du6fYuXgDjm6bMVGWXMaNG+eQc2EYhmHcj82bNwuxC/0B9EXwnGratKmYXJcMHjyY/vvvP2GYhP3x7OnQoYPV49qiycBYAhOT/fr1I6dhcDII0I0MNBIEKIZb2JgxY3T3R6BqZKpTU716dRHzBCAeF9wVEVRegpTuiJsjU6MnRlIzB/GSsmWgDubOC5cB1wGuA1wHuA5wHeA64G51AC5Izj4HV1/YZZJJLTDuRKIKhAdBgpp8+fIpWVgR3xmJx5DICvH7kH0W8VYlSKrVtm1bMebE2BP7vPPOOyJ+qwRJl4oUKSLGocgajIRr8rPaeo9QAojx2qtXL5GcBt+LOMrjx483O+fEvlcvBIatLpK4foTWQOKT77//nl0mvZTw8HAlgYzUUhDTFLGkJTKZHpKR6WGvJuNoF123cZmEIrh//35hPifx8fER7+FyoQfWq/cHUBrl/rBmwWy9ep+QkBBhUm7pmIx7YKu7KsMwDMMwjCvy6NEjZ58CwzAmhg0bJkKKfP7553TixAn666+/KEeOHMIyBuPLzJkzi1AlsIqBpfaAAQPMym7jxo10/vx58XfGjBk0ffp0sYB9+/bRu+++K1zz4X6GkCz16tUT22CVXLNmTerTp48II4AlX758woU9b9684vtwPnA3Q8iEf//91+bvXbhwoTgGvlceOzFgvQPvK1zfoUOHqEGDBvTVV19xPfHy51SWLFnEX+g1sBpT6ysIX5U/f36L+oo7aTJ+zvxyxJyCCw4aHjV4bylOEApWb3/psiL/WttHz41L7crl6NgmDMMwDMMwDMMwjGvw+PFjIUz9+uuv1KNHD7GucOHCIgbm5MmThVvXzJkzhZsXwH5w+f/mm2+UcSYEM6xHXFIIBK1atRLxUSF0XblyRXy2devWIjZTgQIFqGLFioowEBAQIOIm5cyZUzknHGfkyJHK+4IFCwrxAILYq6++qqy39r0QMbAe36k+tjVQDs2bN6cPP/xQvC9WrJgIU+TKcZWZlCEuLk7EtqtduzaVKVNGrIOGgvqqjfFlTV9JiibjLJweQ8xVAsmhYZILFHqGYRiGYRiGYRjG80DiIRhENGrUSHcbYl1KMQxAIIBYoA42Xrp0abMkPQgeLuNgN2nSRIhghQoVom7dutGcOXPo2bNnNiWbq1y5MmXLlk0EL//jjz+EuKbG2vcmBVyvNkEHLNgY76N///4iNvs///xD3oJTBbGsWbOKm1mboQDvLSnaWG9tf/nXnmPCXBamgXK5evVqsq6LYRjXBTN1DMMwDMMwjPeCrHfJRZuJHQl7ZOZeWGghYdzff/8tBCu4P0Jks5ZRGCLE+++/L9wX16xZI9wXe/bsmSBLu7XvZZikMmDAAFq2bJlwxYXbrQQaCuqgtu4mptnIfWz9jFcKYjC9gwIOE08Jbma8t6RKY716f4BsCHJ/mJaikNX7wAUSvtGWjhkYGEjBwcFmizOA2s8wTMry3XffWdwGE3GGYRiGYRjGsylatKgQxbTjSlCyZEk6fPiwWZa97du3i1jXxYsXt/k7/Pz8RAwlZNs7cuQIXbp0iTZs2KCMg7XZu/EdyET9zjvvCPfKIkWKiFhh9qJ3bGvgejFWTk4GYsZ9MRgMQgxbtGiRqJ/QU9RAr4EIq75XYCkJy0VL+kpSNBmvdZkcMmSI8NNGQECYayLlJhofqOEyvTcsuCTvvfee8Gf+4YcfRJyxL774QgQtlEEOoZDD7xWBAJcuXUpHjx4Vx8idOze1a9eOXBk0st4ATIEZxlkg1kJSxLKkghgMrsrAgQPJXencubOzT4FhmBQC8XASA/1Axj7ggsUwjJG0adPSRx99JOJmIVYYhCeIQFOnTqUuXbqI7YgtBvcxWMygzwTXR21MJEvA0ubnn38WVl6XL18W3wHDDymohYWFCXEAIhniamMbRDqMa1evXk1nzpwRwf4R1N9ecOwtW7bQ9evXxbETA8H/Mb7+/vvv6ezZsyI+GccP8y43ydmzZ4ukErBsRIwvLM+fPxfbEVIKVovQbXAvIMg+tBoIWzVq1DAbY0FUs0eTgaiGewR/IeLiNZYnT56kXgEYXIBffvnFkD9/fpHutlq1aoZdu3Yp25A6Full1fz7778iDS32L126tGH58uUJ0nx+/vnnhhw5cojUno0aNTKcPn3a5vNBumdnpJkuX76801Ndp8aCFMeWtg0ePNjm41SuXNnp1+Ks5fz582bv06RJk2rfrZfOWb106dLF6eWjXurUqaO8PnDggLjHLe27bNmyJH1H3rx5DU2bNtXddu3aNaufRTpuZ5XNn3/+6fTfJykL0jhHRETYtG+JEiWcfr68cBm4Yx3o27evXfu3bt3arufye++9Z3HbkSNHLPaJKlasaLh165Zoy3PlymX1O8LCwuy+7pEjRzq97FNq8fX1dfo52LKgH+4K7N+/X5wP/jKeCcYkX331laFAgQIGf39/MR79+uuvxTa0Qw0aNDCkTZvWkCVLFkOfPn0Mjx8/Vj6L8Wnbtm3Njod2Df1ksHXrVvE6c+bMhnTp0hnKlStnmDt3rrIvxqY1atQQ21DPLl68aIiMjDS88cYbhpCQEEOmTJkM/fr1M3z88ceiPbT1e8HOnTvF92EcjGPbwtSpU0V/FufTpk0bw/fffy/OI6WYPXs2318uAlloi6dNm6bs8/z5c8M777wj6nNQUJChffv2hps3byY4jvoztmgyqM96371x48ZUa79dQhBzNZIiiP3www9m79GgoGE5c+aM4fr16zYdo0KFCk7vhLz//vtCbEyp42/evFmUsaXtU6ZMsUsU2rBhg9PLLLWXFi1aJChDCATa/UqVKpUi379+/XqL29CZAH///XeCbQ0bNnToedSqVcum/S5cuKC8jomJEec3YcIE3X0XLFiQpHNBhwqNvt42DNysfbZSpUpOq0tr1qxx2ncnZ6AmsWVfiKDqe8fe89q3b5/F35YXLgNPrgNoL/XWf/fdd4a7d+8mWH/w4EFxr2CAZ8vxv/zyS6vt9h9//KG77fLly0obgAGnte9Yt26d7np0yi19Zs+ePWLi1dnl74mLre08C2IM4/mwIMakJPYIYt7ho5dCNGvWTHkNE0I1MDfs1auXMH2FaaAtwLQwpZHpdC3xwQcfCFNdZDSxxcTWXurVq2f2vkqVKiJ4pKRatWpWP49sKxJkbWnQoIHI+uJOwBQ7OSBjjZYlS5YkWHf8+HGz1M2OIH/+/BQaGmo1ZoGluuxIl2CY627bts1ms3GY6sKHHbEcQIcOHSym4E4KuDZL929i1w3zYWsg1TZcyrUg9TFMmBOjUqVKyWpz4E6QGthyLfYCd3u0wdbuk8TutQoVKjikbUZbp0Ubr8NZwDUE+iLaUz3gOqEOrsp4R/ZttJeyzVSDZzZir2oJCgoS9wr6D7agva/gliTB91q67/AcssUFEOeh3ldNYpneXnnlFUoNcG85OgmMfA6rKVy4ME2cONGmvlVK9pm1z0MOAs4wDMM4GxbE7ODChQvCLxYD0eXLlysDRb1BhPahn1gHEdk2UyOGmLpz2LJlS/F33LhxyjokFICY16dPHyF8LFiwwKbOVlJp27atiNsEv+GdO3dS2bJlzbYjCKUaiIwAWVok6rTDlhg6dKjZ+8QGuH/++SfZCoQ5ewbCb7zxhoiVZyvoxCJeHkQgiCfwxVbz2muvWRQSEetAy9ixY5XX8AfHb6ClU6dOZqmm1QkstJltbK0bya3fX3/9tfK6fv36Fn9DiF9qsF+bNm2oYcOGZuu0NG3aVAhl1gSkxNCKhcgqZK2u/fTTT0r8Q2sDs3LlyiVYj3pv7bew5TexRej5+OOPddePGDFCDLIchV5dTQ5ou0aPHi0Gemhfbt68aVN5qVm3bp1N7QtILEBoTEyMXYNQPaEU5Y24InpAoHjrrbesngPuwZdffjnBehkjwlJ9QHBfWwfm7du3p5QAx9U+D1wJ3CeJnR9iaTgKCP3q70PsD1uwJXEIJm3kfY8g0Igto0XvXkLfCGif4xLEplGjrW9qURyCmFp0w75oKxFzVo21CUd8xtJzR9Z5bX8oMdSxUpILnklvv/221X0WL15M4eHh4tlrC7NmzdKNu4Lgx2gf9H5Ldd8qKYwaNcqm/TC5o/09tHXA3jaaYRjbaNGihehz6C3q/jXDeCUpaqvmQS6T0dHRyna4BEhg1h8VFSVeq/eH37YWS6bhn376qeH+/fuGKlWqKOu0+2fMmNGqO9fPP/9saNy4sZl7kN4Cv175OjY2Vvj+btq0SVmnvjZw/PhxZRvODz7q6nX2LtqyGDdunMVyGjBggLgu9efPnTsn3LwePHig7A///sS+F7/Rjz/+aOa6aW1/uExY296hQwez8xw9erTFfUeMGJGgDJ49e2Z3mVkqJ8Tg06tfAK4leuufPn0q4mXhPNTXIhf4icMNGPVO66YKN2BL5wrXTYAYCdptzZs3t3qdxYsXt7odv/0rr7xiGD9+vNV76t69e4Zs2bKJ1z4+Prpld/v2bWX/IUOGGB4+fKhsQ/yGEydOGCZNmqTsM2fOHLPvgO88yh2v8dur2wO4jcr9cFycj6Vrwv7W2gb5e0mzX/UCf/yZM2cmWn9q1qypvJ4xY4ZZTLXt27cn+nm0CXousHBX1sYgQwxIW+u1dkGMDHvvCfW6fPnyidgG8j1icVi7b2yJn6RuDy252crlyZMnhoEDBxr+++8/XXeykiVLJlh39OhRi8fTayP++usv3fsPrmdo4yy5oH322WeG3LlzC/cx3MN4PWbMGGV7q1atxDW2bNkywWd3794ttiFuiqVzTZ8+vfK6c+fOhpMnT9r9+8s4J3qL+j5Wt7W2uMxrf3e0d9rYVK+//nqS6636e9TXjTLHX3zXa6+9psS8Suo98c8//yiv8czWumnjWbly5UoRXwu/GeLHqI+FtgjhG2w5Bz3U7TPQiwUq+0JAz7UeIBaPfK99boaHhyuv0TfBc0i+V7f7WpYsWaLsh76UbONwPL1nIJYVK1aYvUeZyrYb8QktldO8efMSLT88f9C3sbduapf58+cr+xw6dEhZ365dO6vH1HPxlm2Z3rMksbYoscUWl3L0X4GMlSRjzmmvH89W/GWXSYZxLIhne/bsWd0F/VRnwC6TTErCMcRSQBCzBfWAH/HAtOzYsSPBcT/44ANlu3owCdRxb9D5VK/TijdqrHVKcG0IQtuxY0dlfxmcGnHPtKgHX+oAjkntOGk/jxghWuS2oUOHGn7//XddAUENhEBr3wlBCkDkkOsQKNPaZ65evWp1O8oPotrbb7+tdNwOHz6sG9BbCieWysCakPHmm29arG9yAInrAlrRAmgDussOqBoE71Tv07NnT2WbNoYMBhcQGiydc548ecTn9OKvYNBt7Xox2Le2XU/gUG+fOHGiELrkb4F6oU7QoQbihfwcxEE9li5dqtvhh6gkkd+nBve0reKnvCZ1vcK5qQfsQC+APEQNbRmoxS51PZKv8bvIuDwI5m8twYX6+9VlgUE3hAh5bVWrVhViORJiWIsBiHYKAzxL24cNG6a8hrCFQeX06dNFLEa0pxBzcM1oEyTaclInm8BgWg9bExvoUbRoUWU7guta2x8ChPpZovcdqD+WJhi0IhzqN0DnVbsvAgIDBALWO5a2s4v6jEkeKU5gsgB06tTJ7HNoG9RAmNI7vhzESiHI3phr+AzKAkGNMemCWJaLFy9WtiOBjkQtSFj6PfV+Fwz4cW/KskCQV7mP3jMf9yHKqGzZsrrHRVBZ7feo44WiXcH9Yan+QXzRS4Zy6dIlEdQdz1u1YK0WLKRgoz4eBhbW6rqa/v37J/je7t27W6376vLSOz6ERvXEoXa7DFKtFsTUwetxfZjoku+vXLmi1FWUiTUQ50/9W6Jdk+06Pq8nIAHEPJPvISDiN4egpnf+ctm7d6/Ze3y3Nh4Z4pqBQYMGWayXH330ke73ID7bsWPHlHiXEnX/BUG2LcXnsnTuajAJq+3vWLpeuYwaNcrqPZbYfYhnD1DHEpX9WnW7ggDe8nd0BTioPsOkHCyIMSkJC2JOEsTU4gECZeuhteBSC2LqQLRAvkamD4mcdbZ2bnL95MmTldeffPKJ0knDeWotwXDN6tldiTog+csvv5zgO7SLpdlHSx1pzNJaOn9cKzq16s/LGW412oQGP/30k+hMa78TWS3Ux8GMpbqM5PLbb79ZvUYsakFR79zVloLqQW39+vUTLUNb6xw67rBIUKO2qAOYZZfvUb/UAynJjRs3RH3FgBvlra0b2vLXioXq8oeIYUkQQz1euHChxetVD4D1Fj0xVC1C2wuEnVWrVlncbmngDcsHa2gFMbBo0SLd7GsyOLR8Dws4gIE0Bi3SOkf7W0qLKPVn5fdhwA+BRC/5AMofgxBYMUkxD3U0sXqotvY4deqUxWtX/4ZffPGF1XtfO8hEG6XeFxasWrR1Uy2ySnDtEFW0g3O974cIgN9Aa/2UNWtW3c/Wq1dP2QditS33q9wOsUe9v7oeqQWCMmXKKMlHAARYZHqS1w4LRikSacWGb775JkHZ6rWxAOUDcRSCoywr9QAe9U9tOQlg5aQ3sQORA/cTykQKEZbqk9pCRFt22t9XWm6hXJIriGnBc0Luo33OyHYS5WIpQDyEYL3vQRlC0LMEhF1YcUFIgeBr7Xxx/8v1aqtWKSQAWPrCylUroKjLRm3Fqq5D6kVaWVmyqlW3KdrjY8G9b00Qk4KdzCaF9lDdRsjfH6I+BHb1NSaGWqSyNMGhtdrUCpg4hqXy035O+147KacG14SJIvV23OPq38uW+qoWwtXPGLnUrVtXtOuWzt3StUHM01un/bzamg+TF4UKFTI7tjZL2P/+9z+zCU2ZDR7PMdwj6r6L2voNFvf4y4IYw3g+LIgxKYnbCGIYuKHDC7cszAr16tXLLJ2t3v54WCILIjrgGBDCRUXbadfrxMB6JqmCGGZxbUV+Bh06S6gtiaT1ElBbcqiP1a1bN2UfdBIhqkn3CczaaoHFAa5Xnd1OzgDai1r8gNuH9jrVy6xZsyxu03bKYEmC3047ANLrxCfWWUTHEtYpch9ZHzBwk9ZT2g4lXCn0Osn4DbTnoZcVyZIgprWggHWB2vUOM9LWytCWjrE1MBjAoH3s2LHivdoFRV0W9qA+J9QpbdZEdR3JkCGD+IyeWwk6yEiha+l6MaBCWmtL2/U6yLBghNWQtHBxJGq32eQKYpbECq0gBnczS2itbsLCwsw+6+fnp+yrHohgsCxfw9JLi152W5l9Er8ZgKWdNWFSfS/iM7AmALhPtGWh/S7ZBqitFmxFWnjg/pdgUK43OJcgLTk+o7Y6wb7yu2F5qTc4Bk2aNFH2w/PKlvtVbkc9tbS/XKdncagHnpNqy0O4PwIIZ9rytXTf65UTnrEQKqy5p6nPV11mie2DBS6Zeq7/lsC54T5UiyNqqx5L32PLsdUu9OrfX/0Za4KYNmtuUtC6YpcuXdqiIAaLR0zqWLv/tMjPqq2erN2HmCCAVbEeavFOeww89xITxHCtsu7C1frOnTtigWU6rMElOA97xDBtOUHsswTaTPU1qJ9l6mezBO1lpkyZxF+ct2yrtL+7ul3Qqwv4zdBXQ98M16rts8qwCmgDLaG2fsVzA+22OqSBFgjdWgtavb4K3KwleG7j/PQsh9XWex9++KGZNbIE1yWtYdWTdLA0Tew3xfFRh2SfhQUxhvF8WBBjUhK3EcRg3YEHNgZbsF7CQ1QtumiBST3M8tE5QTwhDEzhwqIVJ2SsLMxEycWS+4wtgph6oJkY8jMYdFkD8SXQ0VZ3jGrXrm3WwUCnEW6UsODRgo4ZrKD0BCUJOpvJFcTUVilw/5OorU5g2SEFJlC9enVD/vz57RqcqJHCoDa+Ejp/llALLZY6Xmr3TzlAULvOoVOrdsuDNQ1iYmlFHIg2ENf00IpnsLxSW6GpB6dqoSypZZUYasHPEYIYjqeuV1hQD6XoAms4rSAGkQd/t23bliBmVeHChZX7GZ1hHF8vRhKsKSxh7R5ILhgESstKeS6WBoyJCWJ6YoXWZbJLly5Wj63+rBx0yPeYJJCo65xa2IN1ihY9awBYi+J3kC5fanetxK5fb8AvXWm116AuI7X1qz1o2/bEBDFYnmkHpGqx0VosDbgcy/3UVg3Wzlnt+m5pfwzMcQ/YizwW2iityBMcHCz+Wnr2JVZOtnyvWuiytg9EMLjLSssrWLIkp63DhA8mPLTfg4kWWKLacmwZWwpttFZslqBs8DyzJIipY6clBXUcKwgRUiCXqO/dpPxOEFi1x5RorZYSA2I3LADlxBdA2/juu++K56heXYK1tdolPqXab7Vgr2dZakkQUz8fEUbB1vPTlht+O1ueVZbuOXwH+hTWykItiMmJY7ULuh7WtuN4sAq3JCCqr3H48OFm6xC7Uv62pUqVMvsczi0pdVXb/2ZBjGE8HxbEGIO3C2IyHoJ6Jh4uF7DG0nOLswRcs+A6ojU/h4tSUtEKYjL2gS1AxMJA1ZpbkSVg8p6czrUWiD7yeJY6xYmhnimEyCVBp1Ou185q4jPa2FNqi5bEwGfVg1J1EHFLqONrWELtMql2HUSnEQKOHnozwtZmOiGeyv1gwYibUB14HJ1Q9bHl+tWrVwsRo2DBgsrgyBGoZ3UxO50U1NeuFyQedQtlgmuT5SUtjLBgHQYest5ATIX4CDcoGSdGO1DQC9TvbGBRBBEkMSwJYmrLFm19kPVGHZ9MD/VnEeRavQ6Dc7WlICwI4LqldtOWIoIabZw+vUGlejCmFr8TA789xBq9+xkLLIOtxShKCkkVenCvQrS1BspTfY64vyDOqO9rLRATMYDUPlccAUQ06YqkZ1Gk5yLtaEEMbm96dUJux8SXHuoECMlBr0zVsdQSe0bKvoNsexEbTIKyUcf2hAWVfL127VqzeFhJAe0mrOS//fZb3e1qQcxeq6nEUD8zU/KeS4qVvr2o3XitiUpqt2Xt89GSIKaHTESDxBsAgiAmZjGBYo3k3HNq904pcqNOwMILz1s9pLVV9uzZ7f4+dd2QIh/+wtUY34tnBL5Xz/owObAgxjDeAwtijMHbBTGYc8MUXQ06prCwgWWOrUBE0MZ7ke4poaGhIs4HvsueWUj1wEXGk0oN1PFpHIH6OixlXLMFeQy1Gbx6vSUzf60FVFI7TphZRiIABL21BtxIpTWPHhAp5bnoBTu2hq0DB4hg6v3Q8YXIYclSD1ZDsLBT3wMYBFmb5bYHdTB2BOpNCur4KJj9VVvVSUFMCzrMcClLzPVK4g6CmK3AncRSXcGAAsKa3A4rLIB6ARE/sUGvulzkzLyeuGTJRRuvteA7YfWhjvumbS/VbrHJHQCpr0EdR0Y+uHCvJ4fkDDoTA/W/d+/eFgegiYFyhUAJy9uUAgKkLe29IwQxPGMT20evzgG0cRjMW2uz7TkX9f0GwQBiBeJr2QosZdBXkCI9QNnITI8yczR+QykAqjPKpgTq2FgpYQmrTqiS0oIYns8phdry2BpaQUz9fIRwbStoMzE5Yu9zOrltE54t6jAbtoDJKHs8JCSOFu9thQUxhvEeWBBjXEUQ8yMncevWLcqePbvZOj8/P8qSJYvYZgt3796lL7/8kvr27Wu2ftSoUdSwYUMKCgqiNWvW0DvvvENPnjyhd999V/c4UVFRYpFERESIvyNGjKBevXpRTEwMpQbNmzenLVu2UKZMmRzynXFxccrr6OjoZB8zc+bMusfA9+it79mzJ6VLl466d+9OxYsXpwwZMiTpHF5++WXq2LEjpUmTxurnO3ToIP5a2kf9G6O/l9TysPa5RYsWUf/+/UUdxH5YcN6WykrWSfW6ChUqiP3Uv58z68Bvv/0mfj/w4sULcV9NmDBB3FfyvtU77sSJE8VfW75T7iP/7t+/nypXrixe586dO9XuQUdQpUoV5bX2vMuVK0exsbFmdRL75MiRg1q1aiXKF4st+Pj4mB3f0u+ANlWN3j6dOnWimzdvKu/V5wgyZsyY6PckhcKFCyvHKlu2LB07dizZv7e2LjmSwMBA+v3335N1/DJlyiTr84lRu3Ztm47viHKy1PaD//77j65du0YlS5a0uM9HH32U7HNQI4/j6+tLv/76q13Hxv3UrVs3s8/gb/Xq1WnHjh1m1yGf0bNmzaLOnTvT999/nyK/p/re1d6TjgDPZElK33O4d1Kqzqufsda+w6jzxO+nfo/ytef8SpUqZfdzOrn33FdffWX354ODg5P1nfnz50/V5687PesZhmEYz8DhgtjHH39M33zzjdV9Tp48mezvgWiFASQ6JV988YXZts8//1x5XbFiRXr69Cl99913FgWxMWPG0MiRIxOshwiwevVqSi2KFStGQ4YModKlS9OKFSuSfTy1ALRx48YklzuEj7lz51KXLl10z+vChQsWzxcDaZQvOlWOuCZHdLSkUKruRNtDYtcxbNgwev78ue5++B0wmHJG53Lr1q105coVu48BMVmybt06IYhAtIDwh+Pv3bvXYee7du1a5TXE7vnz51OfPn2cXnfswd/fn4YOHUqFChXSPW/1IOzgwYN0/vz5JH1Ps2bNzI4PIU3v+9QDNnzfxYsXLR4TZQ4RW+8448aNE383bNhAjkLve86dO+fwusSkTDnh/rd2b+bKlSvF710I0Pv27aPy5cunyHfhOREeHi4WLWnTphXPRog9KXWd77//vnhmpcTxq1WrRiVKlKAGDRo45Ph6dQn9BvQR0A6lVBmhTa1Ro4aYZLX2HXguS7Cf9vl4+fJlSg3coW0KCAgQk2gFCxZM1efvs2fPUu27GIZhGAaI9ImOLIo7d+7QvXv3rO6DgeLs2bPFoPHBgwdmM3ToYM6bN4/at29v8fOPHz8Wg0F0EpctWyY+Y43ly5dT69atKTIyUnRcbbEQy5cvn7CYCA0NJXcF5YkyArC601qKOGJ2GR0miCT16tUjdwDiKAQdvXpgjaJFi4rOMqy39uzZY/Pn0OGG+AaLKlggLF26NMlCXHLrAKyuYIWTFDZt2iSEHml94mhQThgkNGnSRHyPp4M6hI5//fr17R6kSNFVivhyHUTKS5cu6X4Ov/2jR4+E5ayzgaD22muvCctDWH86Gm+rS84oJ1nnIO7rCUWpycOHD4Vlbrt27YQVsyPhuuRZ5YR2t02bNjR27FhhwY5JBEwAgEOHDokJ1pTEXcoJnD17lv755x8aOHBgqk7iof+dNWtW8byS1m3O5MCBA8JaHc/QSpUqOft0GMajmDNnDnXt2pXvL8bp7bfDLcSyZcsmlsSoWbOm6MiqXaMwUMIsIlwUrD0sIYZB0IC4kJgYJjs66ChbEkGwXm8bOiyu3mmxBs4dZQohEC5ZjgaDbzRmEMPcpZyS2rFDOcIFZ/DgwXZfKwQwiLLOKCO4DjmiPqMDnxq4+z1nK8kVFjFrry0n3OOWyg7WE64C2m9MmqS0MOwtdcmZ5YTntbPLGP0NbdgER8N1yTPKCe2uuu3B5FijRo3o/v37wpVZ/bz05nICEAcR+iG1cfVyYRiGYTwPH2d9MeJxIGYW3KEwa7d9+3YaMGCAiMcBSwdw/fp1Yc4vLXIghjVt2lRY+UydOlW8h+UTFhl3B3FLpkyZImLRwPUG8V6+/vprMcvljcAVokWLFilybMziwXLKG4BVI1zGYDnoTsAqDW7DcFnFvcS4N4i5pRUoYSWLCQbM5rsLqWklyTgeGT8Qz1aGcSfUbQ9ew2ILLrepJYYxDMMwDONaOC2oPoB1EUQwzNBh4I7A6T///LOZefnp06eVmAIwfdu9e7d4XaRIEbNjIS5OWFiYmF2CKw4seeANiv0gZEB4sxXpRQrXTJ6tsgx+H/w2ECa5nFy3jKTlJeKnqGOouBKuUE7uAOLcQPRHbD6Z/KNu3bq0atUq8Vqu82a4LqV8OUEIe+utt8Qz15PrHNclLieuT6mLbE8cHM0l2Tgi9jHDMObImLZ8fzEpgT31yuExxDwBBICVlhgMwzAMwzAMw6QOV69epbx58zq9uJGICB4tHOyfYVIGWOfaml2dYewFcbQhjMFTyhosiOmA2GaIOYYHYUhIiN2F7y3I5APouLhC8FNXhMuIy4nrE99zrgi3TVxGXJf4nnM1MEcP7wyEToHniCuAscDdu3edfRoM45EgqZ29ic4Yxp7wTomJYU53mXRV5EMYYhgLPYmDMuJy4jJyBFyXuJwcBdclLieuS6kL33NcTo7A1SaiMZiyZUDFMAzDuCeuMf3CMAzDMAzDMAzDMAzDMKkEC2IMwzAMwzAMwzAMwzCMV8GCmA7wZR4xYgT7NCcCl1PicBnZBpcTl5Oj4LrE5cR1KXXhe47LiWEYhmHcFQ6qzzAMwzAMwzAMwzAMw3gVbCHGMAzDMAzDMAzDMAzDeBUsiDEMwzAMwzAMwzAMwzBeBQtiDMMwDMMwDMMwDMMwjFfBghjDMAzDMAzDMAzDMAzjVbAgxtD06dMpU6ZMXBIMwzAMwzApzBtvvEFp0qQRy+LFi726vMPCwpSyePjwobNPh2EYhvEyWBBjqFOnTnTmzBkuCYZhGIZhUoQ7d+5Qv379KH/+/BQYGEg5c+akZs2a0fbt25V9vEkgat68Od28eZNatGhhdv2XLl0Sr/FXCkVYsmTJQi+99BJt3brV7DhffPEFVahQIcHx5ecPHTqU6LkcPnyYXnvtNcqXLx+lS5eOSpYsST/99FOC/aKioujTTz+lAgUKiN8QYtaff/5pts+8efOoRIkSlDZtWipbtiytWLHCbHv9+vXFRKxk7969tGDBgkTPkWFcEW7XGMb98XP2CTApS3R0NAUEBFjdB50fLAzDMAzDMClBx44dRZ9kxowZVKhQIbp9+zatX7+e7t275/B+jTsgRcHEWLduHZUuXZru3r1Lo0ePptatW4tJzBw5cjjsXPbv30/Zs2en2bNnC1Fsx44d1CFVO2QAAImqSURBVLdvX/L19aUBAwYo+7366qvid5s6dSoVKVJECHpxcXHKdnwOwtqYMWPEef7111/Url07OnDgAJUpU0b3u7NlyybEPobx5nYtpfCU9pJhUhQD41G89NJLhv79+xvee+89Q2hoqKF+/fqGH374wVCmTBlDUFCQIW/evIZ+/foZHj9+rHxm2rRphpCQEOX9iBEjDOXLlzfMnDnTUKBAAUNwcLChU6dOhoiICCddFcMwDMMw7sqDBw8M6HJu2rTJ4j7ob2AfueC9uk8yefJkQ1hYmCFNmjTKMXv37m3ImjWrIWPGjIYGDRoYDh06pBwPr9EHypAhg9heqVIlw969e8W2S5cuGVq3bm3IlCmT6BuVKlXKsHz5cuWzR48eNTRv3tyQPn16Q/bs2Q1du3Y13LlzR9k+b9480a9KmzatIUuWLIZGjRoZnjx5YnN59OjRw9C2bdsE63HdFy9eFK/xF+8PHjyobD9y5IhYt2TJEmWdLB8tep+3h3feeUeUqWTlypWir3jv3j2Ln3n11VcNrVq1MltXvXp1w1tvvWXWT0W/U83GjRvFueI3ZRhvaNfA4sWLDRUrVjQEBgYaChYsaPjiiy8MMTExynbsP2HCBNEWoa3BPmh77B0HJrdNk+0Vzk+2t7ino6KilM9HRkYaBg4caMiWLZu4ntq1axv27NmT4B5ft26doXLlyoZ06dIZatasaTh16pRNbTbYunWroU6dOuIcMZ7F99nT7jKMJdhl0nbhkJ5Fx6b6YmwP7QOzFJgNgBvCxIkTycfHh37++Wc6fvy42LZhwwb68MMPrR7j/Pnzwm1h2bJlYtm8eTONHTvW7nNhGIZhGMa7yZAhg1jQr4DbnR5wnQPTpk0TlkfyPTh37pxwq1u4cKHiAvjKK69QeHg4rVy5Ulg4VapUiRo1akT3798X27t06UJ58+YVx8H2jz/+mPz9/cW2/v37i/PYsmULHT16lL755htxfgBxrBo2bEgVK1akffv20apVq4TVB6yjAM4NVlC9evWikydP0qZNm6hDhw5Kfw3v1a6PjuL58+c0c+ZM8To1LD4ePXpkZrm1dOlSqlKlCn377beUJ08eKlasGL3//vvivCQ7d+6kxo0bmx0HbrFYzzCeRnLaNbg+d+/end577z06ceIETZo0SbgSwwpUzeeffy6s0ODWjDatc+fOot2xZxyY3DYNwOpNbvv7779FWzxy5EhlO8aVaKPx3bAIhQUp7n3ZHkvgcv3DDz+I8/Dz8xPfKbHWZmNcCjdzlMWRI0do7ty5tG3bNjMLVoZJKuwyaSPPY15QqeGrKbU5MaoZBQXY9zMVLVpUdFgkxYsXV14j3sNXX31Fb7/9Nk2YMMHiMWACj4Y5Y8aM4n23bt1EY6htqBmGYRiGYayBgQ/6FH369BEDNIhXiIeFwV25cuUU1zmAJD9aV0K4/UAMkvtgILRnzx4hiMH1EHz//fdiYDp//nzh7nflyhX64IMPRDwr2TeSYBsGVohxBeDqJPn111/FwPHrr79W1iFOFlwJ4ar45MkTio2NFQNGxNIC8jggKChI9LvkQM4e9CZBa9WqJSY2nz17JrZXrlxZCH9qIOpJQc/asWwFro8YcC5fvlxZd+HCBVHuiA22aNEi4cL5zjvvCNcwDPbBrVu3Erhy4j3WSzCgZhhvb9cgJkHw6dGjh9IGffnll0JYGjFihLIfhP8333xTvMb2tWvX0i+//GJ1DKcdB2Lcl5w2DUBgw2fQvsGFe9SoUaJ9xTlBFP/9999FWciYiJMnTxbnCvdq7CfBOBJlBHD9rVq1osjISNGuWGuz4YYNwWzQoEHKNhh74Fj4bnyeYZIKW4h5IOgsaeNPoPOEGT0IXBC30IFB58oSEM6kGAZy5colOp4MwzAMwzD2AgHqxo0bwtIIM/0QRjCAVAdYtwQGaXJgCWAtgUFcaGioYqWB5eLFi8KSAAwZMkQMJGGxBAt3uR68++67YpBYu3ZtMfiExYH62Bs3bjQ7rhyg4Rjly5cXfSoMGDFYxcDvwYMHyuerVatGp06dEn0uRwBh6uDBg8L6AlYXKC+t2AYBDpZz6kUbzN5Wjh07Rm3bthXl0rRpU7OJUli+zZkzR1xjy5Ytady4ccIiRG0lxjDeRFLbNbQzEJXU7QyENVhrqcdnNWvWNPsc3idmIaYdBya3TQPYB2KY+jzQBl+9elUcIyYmRrSnErRRaCe05yqFQjm2BHJ8aa3NxjWgTNXXAAs0tEto9xkmObCFmI2k8/cV1lrO+F57SZ8+vfIaJvsIbIrMTlDlYf6OGb7evXuLGVd146ZG29lCJ0gdOJVhGIZhGMYeMIvfpEkTscAVCIMfCC9vvPGGzf0agIEYBlN61kawxJDZF19//XVh5QS3SnzPP//8Q+3btxffi8EUtq1Zs0ZYH8CNZ+DAgeLYbdq0EW6UWvCdCDQPywdYUeGzsNaAG9Du3bupYMGCDq8QsOKANQQWWHHg/CFaScs4ab0BsUxrvWIvcN3CwBgWdp999lmCa4fIFxISoqxDNkpYol27dk2cHyxg4IqlBu9tSR7AMN7UrqGdgZUYrLL0jpcc9NpLV2nT1ONLjC2BHF9aa7NxDW+99ZaYzNCCzMUMkxzYQsxGcNPCdTG1F9lYJBX4YKOhQUevRo0aIuYDZjIYhmEYhmGcSalSpejp06dmg6UXL14k+jlYYMAND6IPhCD1kjVrVmU/9HkGDx4sBnkYeErXPik0IXwEYuEMHTpUWEXIYyPmKizltceWA030zWANgQEtrLcgSMGNMKV5+eWXxTVbc5dKKrjmBg0aCBcuvfAYuF70HzEwlcDdCu6ciPsjrUYQXkMNBtpaKxeG8WRsadfQzpw+fTpBG4MF95Rk165dZp/DewjR9uCINg0WWmpLUJwHrLTQjhYuXFiJWSaBxRhigaEs7MFSm41rgGCvV16cRZNJLiyIeThoKNAoQe1H/IdZs2YJP3eGYRiGYZjUAGEaENR59uzZwj0RLi7z5s0TcW7gnifBgA2CCsQurcuOGrjUQGRp166dGDjBGh7WDbBqQLBmDNwQbBkWZJcvXxYDNQzO5EAScWhWr14tzgMBoOFOJLch4D4CQSPIND4Dtx3s27NnTzGohdUEYvHgexDzBoLanTt3lM8jthncka5fv+7wcsSgFRYScCeyFvbCXmBxBjEMLpJwW0L5Y8F1SWC5ARdVlAMGpkhIgHg/CIqdLl06sQ8ChCNgNyZh4TYKiw+UEwe+ZjyR5LRrw4cPF3ERIUBBrIJrIayhtJaZOB5id0F8hsUU2hd776fktmkAXkXwLsK9D3dsnAvOA+IdRDV4IqE9wP2PfeD+iTYKn7GFxNrsjz76SLTx2Acu4WfPnqUlS5Zw28I4Bov5Jxm3BOl2kWpXzbhx4wy5cuUSKW6bNWtmmDlzpll6a6S/Riptaym8f/zxR7NUwQzDMAzDMLYQGRlp+Pjjjw2VKlUS/Y2goCBD8eLFDZ999pnh2bNnyn5Lly41FClSxODn56f0OfT6JCAiIsIwcOBAQ+7cuQ3+/v6GfPnyGbp06WK4cuWKISoqytC5c2exLiAgQOwzYMAAw/Pnz8Vn8bpw4cKGwMBAQ7Zs2QzdunUz3L17Vzn2mTNnDO3btzdkypRJ9J1KlChhGDRokCEuLs5w4sQJ0ZfC5/D5YsWKGX755Rflsxs3bhR9rIsXL1osjx49ehjatm1rtczweRzn4MGDZuufPn1qyJw5s+Gbb76xWj6WPq8HjoF9tYu233fy5ElD48aNRZnkzZvXMGTIELPfD/z777+iTFDupUuXNixfvjzR75dlJvulDOPp7RpYtWqVoVatWuJ+Cg4ONlSrVs3wxx9/KNtxT/z222+GJk2aiLYmLCzMMHfuXLvHgclt02R7NXz4cENoaKghQ4YMhj59+ojrl6BtRXucNWtWcYzatWsb9uzZY/UeR9sk28rE2myA46Es8P3p06c3lCtXzjB69Gg7fjGG0ScN/nOQtsYwDMMwDMMwjBUQW+jhw4ciKyZjzDwJCzVYz8gYcAzj7cAiFG6LsIR1JtxeMZ4Ou0wyDMMwDMMwTCqybNkyEYMHf72Z0qVLU4sWLZx9GgzDMIyXwoIYwzAMwzAMw6QSiDGEGFuIhQPLqJQGyQMgvukt2OZMEI/o6NGjIiZQcHCwU8+FYRiG8T7YZZJhGIZhGIZhPJTw8HCKiIjQ3QYRKnv27Kl+TgzDMAzjCrAgxjAMwzAMwzAMwzAMw3gV7DLJMAzDMAzDMAzDMAzDeBUsiDEMwzAMwzAMwzAMwzBehZ+zT8AViYuLoxs3blDGjBlFyluGYRiGYRiGYVIOg8FAjx8/pty5c5OPT/yc/dixY2nYsGH03nvv0fjx48W6yMhIGjp0KP3zzz8UFRVFzZo1owkTJlCOHDmUz125coX69etHGzduFAkEevToQWPGjCE/P9uGPzweYBiG8azniR4siOkAMSxfvnwp9fswDMMwDMMwDKPD1atXKW/evOL13r17adKkSVSuXDmzfQYPHkzLly+nefPmUUhICA0YMIA6dOhA27dvF9tfvHhBrVq1opw5c9KOHTvo5s2b1L17d/L396evv/7apnLn8QDDMIznPE8swUH1dXj06BFlypSJLl68SFmyZEmp38ftiYmJoTVr1lDTpk1FB4PhMuK6xPecs+F2icuJ6xLfc6nB3ov3qef0vcr74jkz0oJ+tSzuz21T4iATJiakHz58KESuJ0+eUKVKlYTl11dffUUVKlQQFmLop2fLlo3++usvevnll8VnT506RSVLlqSdO3dSjRo1aOXKldS6dWshakmrsYkTJ9JHH31Ed+7coYCAAK8dD3hqXeTrci888ffyxGty1+vSPk+swRZiOkg3SbhMIh01Y/nmCAoKEmXkLjdHasNlxOXE9YnvOVeE2yYuI65LyWPWgVPkExhEmYL86UlkLJ198IJuPU9DxXJk5HvOQf3w/v37Cyuvxo0bC0FMsn//ftGGYb2kRIkSlD9/fkUQw9+yZcuauVDCrRIulMePH6eKFSsm+F64XmKRwN0GpE2bltKlS0eeAlxG0X/HNXlS/52vy73wxN/LE6/JXa8LzwhgS/grFsQYhmEYhmEYxg4ePTd2tjtVyUfn7zyhdSfDaemhG/R+s+Jcjg4AscEOHDggXCa13Lp1S1h4wXpLDcQvbJP7qMUwuV1u0wPxxUaOHJlgPWKQYTDoaaxdu5Y8Eb4u98ITfy9XuyaDgciAv6bXYp1mPWn2Me1m9n7eMuN1WTuW8p2a71evV96qPm/L55S/Nnwu8vkzW4uHBTGGYRiGYRiGsQdYhYGXimWjojkyCkFs67m7LIg5gGvXrokA+hhUwjortUDg/iFDhiRwuWnQoAGFhoaSpwDLCZRtkyZN3Mbawxb4urzj93oRZ6Do2DiKfhGn/I19YaDYOAPF4nWcgWJexIn9jK/xN45evDBQjGof4/7GbdhH7P8iTuzzQrUt1vQ+zoC/ZPproDisN2A9Ka/x+dvh4RQampUMlMa4XWwzBnnH54zrjNeBYyU4ruaYeC/EJiE4GV/HqV7juBCDxDqTgiRf46+3Ehdlu90XW4gxDMMwDMMwjB08eGa0EAsJ8qcCWdOL18euP6LHkTGUMa3niAzO4NChQxQeHi7ih0kQJH/Lli3066+/0urVqyk6OlrEhlFbid2+fVsE0Qf4u2fPHrPjYrvcpkdgYKBYtGCw7knCkYSvy71wtd8Lgk1UbBw9i46l5zEvKDLmBT2P1rxXrVO/j36Bv7F06YoPrXh0nGLjSAhbUTFxFCWFrtgX4vhm4lesUaBybXyIHtwnTyINvA4NBvL18RGv4YaIVXjto7xOY9wPr5XPma+T7ovys+q9xXFV35dGd328+6NyXAv7vogiumrj9bEgxjAMwzAMwzA2gpn3h8+ixevMQQGUO1M6ypohkO4+iaIRS47TuE4VuCyTwUsvvURHjx41W9ezZ08RJwxB8WG1BWFg/fr11LFjR7H99OnTdOXKFapZs6Z4j7+jR48Wwlr27NnFOlijIO5tqVKl+PdhvBKIWI8jYykiMkb8fRodK6xdH0fF0tOo+Nf4K95Hyfcx9DTqhXgfL3jFOeCMfIjuhif50xBAAnx9yN/Xh3x90pC/bxry8/EhP/E3Dfn5+oi/1rYr68R70zqfNEL8wTZ8Dtt8sKQxvjf+NYpByjqfNChgOn7sKFUoX478/fyU9b6m/SHoGF/Hr/cxHSf+uMb1uDa5Doc2CkDytekv/pm2SZFKCFRynWm7FK3wFy+069KYVCT5Ol7kMh4X1nwrVqygli2buZQoaw1Y+IZ8btu+LIgxDMMwDMMwjI08jX6hWClAEAPl84bQ+lPhtPDgdfqibWkKZiuxJIOkVnny5DFblz59euG2WKZMGfG+d+/ewr0R2R8hcg0cOFCIYAioD5ANDcJXt27d6NtvvxVxwz777DMRqF/PCoxh3E2Uj4iMpXtPouj+02h6+CxGxDV8+DyGHj2LFn+xTrxXrcNrdVwmRxHo50PpAnwpnb9pka8DfCmtvy8Fmd6nNS3Y3y+Ngc6fPU0VypamdIH+FODnQwG+xm0BqgXvxTpfX7N1+Auhypag6amFEI7uHKGWlfK4jXDEsCDGMAzDMAzDMDbz4Gm02SAQwCqs/Mg14vXKozepU9X8XKIpyI8//kg+Pj7CQgyZIZFBcsKECcp2X19fWrZsmcgqCaEMglqPHj1o1KhR/LswLmx5GkO3IiLpzuMoYXF670k0hUc8p8PnfGjhzAN071m0WIcFboRJBW0XXLszBPpShrR+lCEQi/q9P2VM60fpA/Ae6/2M7wP9FHFLil4QuGDJlCTx6Okpalk9P4tHjFNhCzGGYRiGYRiGsREMWkGmoHgLgJB0/vTWS4Vo0uYLtPZEOAtiDmbTpk1m7xFs/7fffhOLJQoUKCDcfBjGFVwVwx9H0c1Hz+nWo0ghesm/Nx9F0m3Te8TM0seH6M7dBGshVGVJHyDaIrRBmYICKJP4a3yvrAvyF+vxPjidvxCxGIYxwoIYwzAMwzAMw9jIw+fx8cPUtC2fRwhi287doefRLxTrMYZhPN+6C4k2rt5/RlcfPKOr95+b/j6jaw+e0/UHz2226ILAlT1joIhLGJohgDKn86O71y9SrUrlKGemdBSa3rge21nYYpjkw4IYwzAMwzAMw9iZYVJtIQZK5spIeTKlo+sPn9O2c3epSakcXKYM40Eg0PzFu0/p/J0ndP7OU7pg+gvhCwHnrQG3wpzBaSlHcCDlDElLOYPTUc4QvE4n1ucKSUvZgwMp0M9cSDcGNL9ALStzXCqGSQlYEGMYhmEYhmEYG1FnmFSD4M4QwabvuERrT9xiQYxh3BRkYTxz6zGdvPVY/L1w9wmdD38qXBytAcuufFmCKF/mdMa/4jX+GkUvZDBkGMa1YEGMYRiGYRiGYWzkwVN9CzEgBbF/910Ty6i2pal7zTAuW4ZxQV7EGYTF16lbEXTq5mPx9+TNx8LK0xKh6QOoULb0VDhbBvG3UNYMFJY1PeXNnI5dGBnGDXF5QWzLli303Xff0f79++nmzZu0aNEiateundWgmw0aNEiwHp/NmTNnCp8twzAMwzAM4w0xxBCsWku1glnM3g9fcpzK5AmhsrkypNr5MQyjH+fryv1ndPjaIzpy9SEdufaIjt14RM+iX+gWV+6QtFQ8Z0YqnjOYCkP4ypZB/NW77xmGcV9cXhB7+vQplS9fnnr16kUdOnSw+XOnT5+m4OBg5X327NlT6AwZhmEYhmEYb8symVnHQszf14e61ShAs3ZdVtb9tO4sTelWMVXPkWG8nceRMbT/8gOxHLr6kI5ef6Tcu2qCAnyF8FVCLMHK3xCd+5thGM/D5QWxFi1aiMVeIIBlypQpRc6JYRiGYRiG8U7uPonSjSEm+bx1KcqfJYjWnrhNey7dp81n7tArf+ym7rlT+UQZxou48ziKDt5LQ/uWn6IDVx7SyZsRFGcw3yfA14dK5g6m8nlDqFzeTOIvLL8Q8J5hGO/E5QWxpFKhQgWKioqiMmXK0BdffEG1a9d29ikxDMMwDMMwbs6tR8bA2rlC0uluD/DzoT71ClGvOgWp/Mg1IvvcoauP6NBVP0pf9A41K8PKGMMkl0fPY2jn+bu09exd2nH+nogFRoQMjVeUfSBMVwnLTBXzZxbiFyy/cH8yDMN4rCCWK1cumjhxIlWpUkUIYlOmTKH69evT7t27qVKlSrqfwX5YJBEREUqaWyyMPrJsuIwsw2VkG1xOXE6OgusSlxPXpdTFG++5myZBLGt6v0Sv++dO5ajXzAPK+7dmH6TWZW9Sg+LZ6H/lc6X4uboT3lSHGPuJjo2jg1ce0LZzRhHsyLWHZhZgadIQ5U5noIZl81O1QlmpalgWyhmSlouaYRjvEsSKFy8uFkmtWrXo/Pnz9OOPP9KsWbN0PzNmzBgaOXJkgvUbN26koKCgFD1fT2Dt2rXOPgWXh8uIy4nrE99zrgi3TVxGXJfs41ks0ZMoY/f5yK7NdBoGKYnwRrE0NP1M/I7Ljt4Sy/NLBykjhymKL9tnzxxWHxnP4MHTaNp4OpzWnbxNm0/foaeaAPgIcl+3aDaqUyQrVcybkbZtXEstW5Ykf3++sRiG8VJBTI9q1arRtm3bLG4fNmwYDRkyxMxCLF++fCJbZWhoaCqdpXvO5GEw1aRJE37wcBlxXeJ7ziXgdonLiesS33MpyaYzd4j2HqR8mdNR+zZ1bfpM/ehYOjPnIB26cp+excbHKnqYuSR1qlcwBc/WvZAeGox3A9fHdSdu09qTt2nfpftmVmBZ0gdQ7SJZqW6RrFSnaFbKnSnebZktDBmGSQpeIYgdOnRIuFJaIjAwUCxaMLvAMwyJw+XEZeQouC5xOXFdSl34nuMy4rpkH3eexIq/xXJktLmPGOLvTzN6VqVF/62gmdey0LEbRuHn+7Vn6cqD5yIIf8a0bNHCfW7vFsGWHb5By47cpNO3H5ttQ9bHJqVyUKOSOahcnhDy4QD4DMN4kyD25MkTOnfunPL+4sWLQuDKkiUL5c+fX1h3Xb9+nWbOnCm2jx8/ngoWLEilS5emyMhIEUNsw4YNtGbNGideBcMwDMMwDOMJmexAtowJJ1ITI9CXaFG/GhQdl4ZKj1gt1v277xoVCE1P/RsUMds3PCKS7j6JplK5gx105gzjWlx78IyWH7lJ/x25Qceux1sH+vmkoRqFQqlxyexCBMuXhcPXMAzjxYLYvn37hOuiRLo29ujRg6ZPn043b96kK1fis4lER0fT0KFDhUiG+F/lypWjdevWmR2DYRiGYRiGYewl/LExoH72JAhikvSBflQkewY6F/5EvF917JaZIPYizkCvTNpJl+89o2EtStBbLxXmH4rxCJ5GxdLyozdp/r5rtOfSfWW9r08aqlU4lNqUz03NSuWkkCC2mGQYJnVweUEMGSINBpXzuAaIYmo+/PBDsTAMwzAMwzCMI7n+8HmSLcTUjO1QlnpO30uPI2Pp6PVHdOJGhGINdisiUohhYMzKU2I9AoczjDuCcdzeSw9o3r6rQgx7ZgqMj6yQ1QtmodblclOLMjkpNEPy7imGYRiPFMQYhmEYhmEYJrXcuD5ZdIxerpyX/lc+d4LtR689En/L5AlJ1vdUCctCR79oRt2m7qatZ+9Sy5+30ruNitKQJsUo4nmM2b6zd11mQYxxywyR/+67Sv/svSpihEnCQoPolSr5qEOlPJQrJD4oPsMwjDNgQYxhGIZhGIZhiGji5vO05cwdsZTNE0IFs6ZXyiXmRRzdexotXjsqrlGbcrmFIAZ+Xn+WutcskEAQw/bImBeU1t+XfyPG5Tl2/RHN3HmJlhy6QVGxcWJdUIAvtSqbi16tmo+qFMhMaWAexjAM4wKwIMYwDMN4TeyfbBkCE3TE4+IM9DzmhYjrwzCMd6MO7v3Pnis0rGVJ5f19kxiGJHeZgwIc8n3Ny+aknzecpWsPjK6Yiw9ep9O3jFn2yucNodsRUcKFcueFe9SgeHaHfCfDOJrYF3G04tgtmrHjEu2//EBZXypXsBB5ERuMn7EMw7gi3PtnGIZhPJ4632wQA87edQrS561LiQxu8/ZfE9YZP6w9TWtP3KZZvatR5QJZnH2qDMM4CQSzl2IUWHTwOn3QrDi9MBjotT920bEbRrEsS/pAEQTcEQSn9aetHzagKVsv0ugVJ+mr5Sfjt6XzF66Zc3ZfoYUHrrMgxrgcz6Nf0Lz9V2ny1gt09f5zJUtky7K5hBBWma3BGIZxcVgQYxgm1YOrDlt4lE7dekx/dK9M2TOm5V+ASVFuR0Qq1hdTt12k9hXzUOtfton3v244J6zDwJsz9tGBz5uwKwfDeCnXHzwX7QG0roxp/Sn8cRTN3XeVzt5+QgeuPFT2u/skyqHfC6vVthVyC0FMzZOoWGpWOqcQxP47fIM+aFqc8oc6xlWTYZIbH2zmzss0Y+clxXIyS/oAIYK9Xi0/ZQ/mvh3DMO4BC2IMw6Qqx29EiACrUpwY1iLeHYVhUgIphkmkGAakGAYePIuh07cfU4mcxkxvDMN4FxGRMUoGSQhRGPB/uuhYgv06Vsrr8O+GgPBFm1L0xX8nlHU+adJQzcKhyvt6322kI180FVZlDOMsIWzSlgsiRpjMFpkvSzrqW7cQvVw5H6UL4Dh3DMO4FyyIMQyTajx6FmMmRkzafIFerpSXwrLwTCKTchy+Gm/ZkRjNx2+lHR83pNyZOPMVw3gbUbHGAX6gny91q1FACGKSQD8fGt+pAj18HiPcwVKCN2oXpJeKZ6dL957Sn9suioyT/r4+9Fef6vT65N1in+nbL4lslAyTmjx6HkNTtl4Q9fKpSQhDfLC36xemlmVykp+vD/8gDMO4Jdx6MQyTKm6S3f/cQ+VHrUmw7d1/DvEvwOgCd6HWv2yltr9uo8cmy42kcDb8ifjbt14halIqh7J+1aC69Fq1fBSaPoDeqV9YWd/wh00i0D7DMN5FVEycIn4VzZGR/u5TQ9nWqlwualE2F71WLT+FpEs5Cy1ktUTw/Fm9q1PF/JnFulqFs4rYhwBByxHrjGFSAzx7kf0UcTh/2XBOiGGlcwfT1B5VaPm7deh/5XOzGMYwjFvDghjDMCnO9nP3RAp7NZ2r5hN/T96MMAtizFgXFg/fSyOsB+T7sStP0aj/TlDMC+NAzl2BALX5zB0RoFdy/PojkfHt8LVHNHnLBbuOt/ZEOPWavpfO3H5MSw9dF+tK5MxIk7tXod2fNKJ5b9cUrpFjOpSjvZ82poEN4y0uImPiRJBgFsUYxruIijW2o2n9jW5fNQploealc4qYYsiS50wQmwlC3b2n0bT74j2nngvjHVkjZ+26TPW/20Tj1p6hx5GxVDxHRprYtRItG1iHGpXMwfE2GYbxCNhlkmGYFKfrVKOrB0CHfuewRiL4KgKxrjlxm/47couMc9+MNXZeuE9/nvGlP89sp4xp/ej16vmF2ykI8POhj1uUcLsCvHDnCeUKSUdTt12g79ecoUYlstPUN6qKbQ+eGQP1gr/2XKHedQvZZJnxPJbos0XHRAd+w6lwZX2R7BnE3xzBacUi8fFJI+KenPmqBX284AgtPHidPlpwVCzbPmpAeTNzEGuG8S6XSR8l2P2vr1cUIpS6zXAGcJ1sVyGPCPK/8ugtYTXGMI4GE20bT4fT1ytO0TmTdXWhrOlpUJNi1LpsLvG8ZBiG8STYQoxhmBRFnY2rR80CIj4TxDDQ2jTjvvZkvGjBWGbXhfvKa4g9UgwD03dcpBsPzYPHuzpbz96hhj9spna/baflR2+JdetPhdORaw+VIPeSu0+iqfzINdR35j6rllvzD1ynj/f6ifLRUjZPiNXzgajYpUZ+s3XfrDpt93UxDOPeFmKB/vHdY8RGcrYYJmlRNqf4C8udQ3bERmQYW4C1frepe6jX9H1CDMsc5E8j/1eaVg+uJ1wjWQxjGMYTYUGMYZgU5Z05B5TXI9qUptAMgcr7+sWzkZ9PGrpw9ymFu5eW4xQ2nrlrcRvc/CZuPk/uxLazxutBZke4zkpmmQJZqy3EJLAo/OK/4xaPOXnrRd317zUqapN7R+UCWejr9mWV9zvO3RWuIwzDuDZz916hwXMP0ferT1PtsRvo6v1ndh9j1wWjK2KmIOOkjauhtgrDRMK/e6/Sncfxk04Mk9R4naOXn6CWP2+lbefuUoCvD71VrxBt+qAB9agVJqwTGYZhPBVu4RiGSVH2XDRaNbWtkHB2EanjaxQyppQ/9oDN8K2BIMrSfWFe32qK+x/45bWK4u+iA9fNYnC5OjcfRequX3X8lnBdemiyEEMQ6wr5MinbZ++6TLd0PhsZ84JuqNaPaFOKfE11LmeI7RYecEU9O7qFmB03xuuJt8xjGMb1QHsBF+dFB6/TrxvP0fWHz+njhUfsOgZE+b/3XBWvC2eLb19dCVixDmocH+/wwwVHqOrodTRs4RHR/jGMve6Ry4/cpMY/bBaTSehnNCudg9YPfYmGtSyZoskjGIZhvEIQi42NpXXr1tGkSZPo8WNj0OwbN27QkyfGQR3DMJ6NWpz5ql0Z3X0al8wu/h657yMEEhnDhTHn5qPnFBtnIN80BuH699+AOlQubwjVLhJKLcvmovxZguhxVKwYELoD0bFxtOm0vqss3B23nLlLR689Eu8LhAbRondq0fmvW1LVsMwEj8kFB64l+BySDcBSLsjXQGdGNaGetQvSrN7VaFiLEtS+Yh67zg8z4s3L5BKvlx25kaRrZBgmdZi46YJuMhfZhiQGxKQWP21V3iP7rKsyqHExalfBPMA/hLx/9lxx2jkx7sfdSKLeMw9Q/78O0K2ISNGHmNazKk3qVoXyZeG4mQzDeA8pJohdvnyZypYtS23btqX+/fvTnTvGDHPffPMNvf/++yn1tQzDuBAX7hrFb3/fNJQhUD+HR+NSOcTfi4/TUL3vt1DJz1fRB/MOU/sJ26n/nAP0NCphLChvZN+lB+Jv5kASVk8IAr+kf22a82YN8R5WTWDCpnNi1tcdBL6IyFhK6+9jJpbCGgz8uPYM7bxwT9SdVmVzCXdHXOcrVYwD1fn7ryW4ThlDDWUk3SPhYvTWS4WVrHH20LqcURBbdeyW22fxZBhPRsYd1NLm120U9vFymmRyJ99x/i6duhXvni1Zr4pj+WXb0iLRhyvTtUaBBOsWHHCPyRDGuSAG54ydl+mbw7609dw94R6JkAJrBtejBsWNE5QMwzDeRIoJYu+99x5VqVKFHjx4QOnSxXcs2rdvT+vXr0+pr2UYxoV4f57RZaVo9owW4zchg1+JHPHuKbD+mbf/Gh288pCWH70pYsIwRAevGAWxAhniRSB1mWKAlD7Al649eE4HbQi2fOz6I+o2dTetO3HbKcUr495kz5iWOlfNR+/ULyyyZHaqahS8TphiiqHuqGerIY4FBfjSxbtP6YCpTCQ3HhrdJTMHOkYQrF4wC4WmDxDB/XeeN8YWYhjGtYB1l3TNX9CvFq18ry4tf7eO2T5jVp6iFUdv0uuTd1Pz8Vtpw6nbumJ601I5qFvNMHJ1KuXPLKxeEegcsZ7A0euPkhQ3jfEe8Nzs/Mcu+mrFaYqOS0PVC2YWAfMHNymWpEkjhmEYTyDFBLGtW7fSZ599RgEB5oFJw8LC6Pp1nsViGE8H1jsyUHqdotbTw5dXxYfSsu7kbQp/rB9rypuA0AUKB+uLPbDAa2Kytlt2+KbVY+F3af3LNtp69i69OXOfrsVESoOskSA0Q4DI4vZh8xL09kuFqXzeEMqbOX4SJVOQeQyT9IF+1LyMMdOa1j1UsRBzUDxsnJfM6sZukwzjmuC+h7t4oJ+PiDVYMlcwlc4dQi8Vy2a235B/4ydXvll5WrEwHbPyJI1ecVK8zqNqe1wZxOP8sVMF+vm1iiLWU01TLM6Vx6y3/Yx3gthgU7ZeoBY/baE9l+6LybNXCr6gmW9UoYJZ0zv79BiGYTxTEIuLi6MXLxLGArp27RplzJgxpb6WYZgUAAOH83ee2By0F5n5flhzRnnf76XCVvfvVasABfgYqFXZnFQtLIuyvmL+TMJibOkhjuH0NNroOprOyiQuYokBWELALcISWiFp6L+Hbc5E9cx0HslFZpCEBZYaWL01L20UoYBedqt2FYzxwBAMWO3KGO8y6TiX0VZlcyvfhbhntoL9F7tJPDeGcWcePTcm38iaIVBJogHGdixLxXNkpLqmCRnEF5Qgs+2+yw9EzMpJmy+YWSy7Iy1Nwv2SQzd4AokxAwlouk7ZTV8tPynugTpFstKyAbWoTk5DgkRHDMMw3kiKCWJNmzal8ePHmw1yEEx/xIgR1LJly5T6WoZhUoBJWy5Qox82U4cJOxLNYjhz5yV6fcpukelLDlIya0QPLYWypaevqryg7zuWoeFtSomYFo1L5lACobtLoPiU5LlpMBdgpdWuVyybmPlFgNxDFmLqgAdPjWJU5QKZxd/jNyISDT796FmMyERV4+v1dOVe8t1y7pvOIXNQwrrxP1XA6B61EsbKqVU4VNQruDIW/XSliBEEAUpanQU7yEIMVCuYhbKkD6Cn0S+o2GcrE41pB8Gw9tgNIlDxoLmHaNvZu447GYZhEoBYhCBYkxEPccDgDjard3UleYuaJYeu02VVWwZXbBk30N1oVjonwYMebXm10evptT920eNIo1DIeC+If9n8py0iHifq99fty4pEM2orbIZhGG8nxQSxH374gbZv306lSpWiyMhIev311xV3SQTWZxjGfdhhip+EuE6zdl2yuB8syIYvOW62Ls7GAO+BvkYXtTJ5QmjbRw3o19crUutyucnPJ43o5MNCzVuBFdQjk0WVtTAfiAHSqGQOpSOsB6ycEKMNyBg0YO4+6xnKxq09LYQ2DD5/Wn+WkosU5SA2aSmXNxMtfKcW7fi4ITUsYbweNagn8rwlEKCk1Zk10dBeYHHSViXQJeY6iVhj102WamDSFmMwb4ZhUoYIk4VYSDr9xC2gf4MiZrEBwYqjt+j0LWMG9OwZA0XssRzBad3yZ8oenJZC0wcq7yGA2Gr564pgDFG1alXhUZI9e3Zq164dnT592mwfjC2QtCs0NJQyZMhAHTt2pNu3zWPDXblyhVq1akVBQUHiOB988AHFxnp+oh5MXH6y6Ci9PXs/PXwWIzJTLxtYRyTfsRTPlWEYxltJMUEsb968dPjwYfr0009p8ODBVLFiRRo7diwdPHhQPJQYhnEf7poCoIOJmy8I1zk91uoEaE9K1iJ07iHuQCyR8cfc2W1y94V7dPjqQ+ozcx91mrTTrsDHcH3sMnk3XTJZMgT6WBcYW5jia8FtUpuFEdZKsHKSZM0QQK+asjbC1caSS+y9J1EiK5VkwYFrSny4pHLfJF5Zsh5E0OjcmSzPYveuWzDBOginIMDBsYGHNClGRbMbEz/8u88oJlpC/k6SbefumglkDMOkjMtkcFpzCzE1iC2GOFsBfj40qm0Z8WyBleqsXcZ2Dc+ZAqHuHUvp1Sp5zd6vOXFbBFEHsOrFs2f69ovkDmBCHWLXrl27aO3atRQTEyM8T54+NV4PwNjiv//+o3nz5tHmzZvpxo0b1KFDB2U7wrZADIuOjqYdO3bQjBkzaPr06TR8+HDyZM7efiyyq/612zjJ9dZLhUSyiULZ4pMXMQzDMKkgiAE/Pz/q0qULffvttzRhwgR68803zTJOMgzjHtx5Ei+IYRAxY4e+lZjM9PVmnYK055NG9G7DIvRJyxLJ+m5pnfPf4RsJBB53AMJUpz92UdvftgvBcPfF+1T3240JMiRa4tK9pyIIriQxd8D6xbNTOn9jtskvl52kuXuvKAOiXtP3JtgX7od5MqWjx5GxtPq4vlXZMZPQBErkNMaAnL7dsqWgPS6TWXRcJm0B5zy4cTHhbiuzrEkQj86RZEzrT3P6VBfWYvsvP6Bz4UarEjV3n0SJzJ1S7ESCAAzAUWUXHbAuojEMk3QiTK6BWpdJNbCK+fONqsL6uHjOjErMLfnMKuwBYsF7jYuK5+3mD+oL93kwyzSRActuPHu++O+EW1hbL1y4kN544w0qXbo0lS9fXghZsPbav3+/2P7o0SOaOnUqjRs3jho2bEiVK1emadOmCeELIhpYs2YNnThxgmbPnk0VKlSgFi1a0Jdffkm//fabEMk8EVgwo69xLvyJsHqc3bs6DWtRUgjBDMMwjD4p1kJiJmb58uXK+w8//JAyZcpEtWrVosuX4y0NGIZx/exEsBACUtz6bvVpuh2RMPOjtByD2wmsvIY0LU6hGeLdOJJCk1I5RfawC3efKhZA7gIsrt6Zc0B32xhTVrPEkDP8YGjjIpQlkeJMF+BLDUsYrfL+3H6RPlpwlNafvE3vzztM0aoA9LAmgBUegup2rGy0LJi587Ku6Chj0SCe1lftyojXSw5fF3HFkoqM3ZNYfLnEBoAbhtanQY2LUWZVNkpHukxKsmdMq1g7zt9/PYEbasuftorMndNNYnH+LEFKuS44cN0txVyGcQfumWIHqtsAS20j7mPwv/LG+JSSwtnc2zoMBPr5Ut96hYWlm7QWm737MoVHRNKtiPhJrV9ULu+IieiMLMOWsGSlDAEMZMlidHeFMAarscaNGyv7lChRgvLnz087d+4U7/G3bNmylCNHvNt9s2bNKCIigo4fNw/t4AlhFb5cdoIG/HWQnkW/EBNdK96rm2iGb4ZhGIbIcsCFZPL111/T77//rjyUfv31VxFkf9myZcLMGbM/DMO4PtcfPBeZHhHovketMOEyCeue8evO0pgOZc32lQHHgxAQzEFkCPQTAfaXH70pgiAjxpgzgYvNixdx1L1mWKIZmqzF2kKGM1gT5csSZJMg1qpcLnr7pUK0YsWpRM+xX/3CorwkU7ddNLMyg1vliDallfevVctHf2w5L6yfYDFRvVCo0sm+fO+p+DwITusnAvHDSuzUrce08OA16lk7oeuiLfFN5HXpxRCzFwx0X66clyZvNZ6nlVBCyaJDpTy07uRtMQv/UfPiSiwWZPEKV7kVS0EMWVKHLzkmrhUWgZULxGdQZRhXmvSAdWOp3MG6WV1dHWmVaU+GyCoFMlOukLR081Gkx1iIqWlVNhdNzndRuOrjmXXtQbwrN2KnffG/aMoUFEDdpu6mA1ceimf5a9XyO/Wcca59p27TzVo/aNAgql27NpUpY5yQuXXrFgUEBIiJdjUQv7BN7qMWw+R2uU2PqKgosUggngGIb1hckTuPo+jduYdp32VjIp236hakQY0Ki1ibls5ZrnfVa0oqfF3uhSf+Xp54Te56Xfaca4oJYlevXqUiRYxBTBcvXkwvv/wy9e3bVzzQ6tevb/NxtmzZQt99952YDbp58yYtWrRIBNe0xqZNm2jIkCFiBihfvnz02WefCdNrhmHsZ9OZcPG3dJ5gMQP9XqOiNGLpcVp08JoQBdCplmBmEqQPcGzTgqyDEHiWHbkpzP+dlSr8xI0I+nzxMfEarifjO1WgdqZMmHrsOBefYbBYjgx05vYTmvNmdZq4+TxtPXuX/tl7hT5oZt2lVApHBe2IbwPREG6EyA6qTooAYDmAGDqwDlNnY2tXIQ/9s/cqzd9/TRHEXv59Bx1WZZ8MSRcgRCAMnFAHpmy9SF2qF7DbHePM7XiXQwT7dQRdaxSguXuvClfK0EDb3FHtBRZiyNQFd9RDVx9SxfzGLJ3n7iR0oYQ1HcqleemctPDgder4+07a+H59KpjV/S1RGM9izu7LIhlK7SKhNKtXdae1r0nlikkQgwhtK7jGGoVClQzG+UNt/6w7gHa6V+0weu+fQ7T08A3FohttEixasa5r9QJCDAPDFh4Vgj+e8c4CoRikQKkGscSOHTtG27YlFMsczZgxY2jkyJEJ1m/cuFEE5nc1rjwhmnzKlyJi0lBaXwN1KRJHpWLP0prVtiW+QXw2T4Svy73wxN/LE6/J3a7r2bNnzhfEkPHl3r17wnwZfvwQqEDatGnp+XPbAwwjgCbiB/Tq1cssWKYlLl68KIJovv322zRnzhxav369iF2WK1cuYSrNMIx9HDJ1mF8yxSTpXrOAEE4QVP3ffVeFi4bWZRIWO46kfvFslDGtn+gs77p4j2oVdo4bgDbG1qC5h4RlxWetS5mtn7DpnIjdIjv303tWpbpFswlLDAxIEAQaghgCtMPdD3HG/jt8k0a0KZXAYkwRxOwUUoa1LCmWHn/uoc1n7ijrv325vO7+sLDC74oMlG0r5KEyeYLNxDCAdQAi4PdrTotg8RtPh1Oz0sZ4PLZy4e4TJdubo2KbwE1o1yeNiOJe0NrVqyglQL1uUiqHSECA30sKYptPG8s3d0hamvVmdTNrkzYVcgtBDMBtFcGNGcaVQHxGsP3cPfoPMYgqWBb5XQ20pWfDnySpjUSwcVgdw+rVmUJQSoG2CvEkpXs6GNS4KH276rQQQL9Yau42uPzITepQyTwwf2qil3xkwIABwrMEk+NI1iXJmTOniAP28OFDMysxZJnENrnPnj17zI4ns1DKfbQMGzZMGa9ICzFMrDdo0EBks3QlVh67Rb8tPEaRMXFUJFt6mvB6BZvvAVhOYGDbpEkT8ve37mrsTvB1uRee+Ht54jW563VJC1+nCmIoMAhRyC555swZatmypVgPq62wsDCbj4MgmFhsZeLEiVSwYEGRshmULFlSzCr9+OOPLIgxTBI4ct0oipTJHaLMPEMUw4wyBJ0+dQsprmOwnAFwRXEkGKzABQSCzccLjtLffWsIS6DURs6yIzvjXVPcminbLlKvOgWVjIgQvTDgUANXJARkxwLgAopjwNVh/clwGvXfCbr3NJoePY+meW+bCyYX7hgFsbAkWhbBmksKYhggWQKDQoiOCK7fdepu+tIUK0yC+Dwty+YSr0PS+dPr1fILCzRYlNkriJ0PN15TYVPmRkcRFOBHMTEpG6urdbncQhCDiPlZK6O14g2T8Iny0bpe1S0SL97CqgwDeJQfw7gCNx4+p72X4i0qf91wjtqUy50qVmKwtoWF1uAmxah3HXPXa8TcQzIX3Ct/brtEdYtm1XWXh0s/2ly4XtvbRpbIGUybP2hgNTulO4P2sFHJ7MKyWtK5an7l+YRQCGqmbb9E7SvmUZ7nEiQRwQRP91phKepaeksVlxS/P8QweIXA6wP9ejUIoo9BGSa9O3bsKNadPn1aBN6vWbOmeI+/o0ePpvDwcCW7PQZ0wcHBVKqU+SSWJDAwUCxa8F2uMghE2UzYdF7EcpUThr+8VlEkf7EXV7ouR8LX5V544u/lidfkbtdlz3mmmCCGLC5wVYTr5IIFC5SZFbg+vvbaayn1tSJemTrIJoBlGOIPWMIdYwa4Au7oT5zauHsZnb39RGQrAqVzpVeuo1nJbDTS30ds23vxLlXIG0J9Zx8UmfZA7uAAu67ZlnJ6r2EhkaUR7jF9Z+6lhW/VSHXXniv3jELOgAaF6X/lclHlrzeILIK1xm6g2b2qCIsniB5aMgWax/LAWbevkJsmb7tEc3ZdEmIYwMD08JV7VCqX0RJrw+k7yiAhX6b4MrWnbBsUzUIFQ4PozpNo+vJ/Ja1+tnGJbLTokHHwJF1Di+fIQP/1Nw4wMFCSn29bLqcQxDaeCqfbD5/aHAsMAt+vG8+J12FZ0jn83kjpe65mwUxCOMTvsuv8HaoalpmeRhm/q0TODLrfe3pkE2rz2046E/6EFh+4Sq9Xy0fOxt3bptTAG8pow0mj1WuO4EBh4Qtrq3UnblKD4kaL4JQqpwfPokVsK4Bg4NUKhCgZbMG4tWfp9y3GmIDg5/U+tO2DlxJkkrwTYbR+Ck3vn6TfKWdG/1T7jZ1Rn4Y0LiySqjyPiaMWpXNQxoA09FXbUvTZkhPKPu83KUo/bzxPR68/oj0X7lKl/OZxuT5ddJR2X3wgwhbgN5ATO44EoqbaXXLo0KE0f/58WrJkCWXMmFGJ+RUSEiKy1eNv7969hTUXAu1D5Bo4cKAQwWrUqCH2bdq0qRC+unXrJrLd4xgYl8AFU0/0cgeiYl+IyciFB4xWxz1rh9GnLUuKeGEMwzBM0kgxQQwmzAikr0XPN9+RWAqiCZELrpp4kLp7zABXw538iZ2Fu5bRuKNwI0lDGf0NtGfLerNtZUN8aO9dHxq/eBdVzx5Hm87ENyfbN65NkXJ6oxDRD0f96PiNx1Tr6zX0ecUXpJnMTjEQHm33RWN53Dp7jLbePUq9iqWhqaeNrjb9Z++lERVf0N67OKF495usaQ20cuXKBMfLJozp/Gjrufj4XmDs/B3UubAxG+T8i+jkGju6OzetS3J9GlTM+Hf35vhj6FHVj2h3kC/deBZfqJfuPNY9f5A3vS9de0r03dz1VDenvmUWBMOll33oaSzRywXj6L8r8dcUcPs4rVhx3O3uuZIZfWhPpA99t3g3vVEsjm6GG+vFiSOHyP/6Qd3PlEqXhs6QL43476RYGueOozYF4rN+Ogt3bZtSE08uoy2m+7FYuufkl55o400f+nbpAXpeWj/bn6PKac0183byoznb6a2S8ffD7zvNu6cQdD6buY6a5zNvZw7dMx4n7vkTWrFiBbkDqV2fPilHdO1pGiqZ8TqtWHGd0osiNJZv4YwGyvfkJFXI7EN77vjQt4t2Ufei5u3SgUvG9g1W0V1+WZ1gO4h8QbTsio/oKzTJYyB7NLOYOKKdt9NQdKwvBfoaf9+pU6eKv9qYw9OmTVNiAsPzw8fHR1iIYVIbk98TJkxQ9vX19RXulv369RNCWfr06alHjx40atQockdgXdxn5j6R+Aai5Bf/K03dahRw9mkxDMO4PQ4VxI4cOSIywOABhdfWKFeuHLkK7hQzwJVwR3/i1MadywjWSZd3Ggf3vesVpZb1C5ltD714n7r+uY92hPvQqaeYbTXOen/drhS1rJw3xcrpbJqjtPTITboXlYaylqohrLJSg5M3H9OLPTspfYAvDX6tibBOaxZnoCv/HKa1J8PpUXQaOpu2KP193mjV8HKlPFSlQCYqmSujYvGlZfX9PbTfFKNNcuiBH/3a4CVKH+hHI7/dJMr1w2ZFqWWdgqlSn15pS9Ti5+10zuSq+Xmb0tSyiv7veTvTZfp65Wmaf9GXRvVorGSog0vHkesRVCBLkOjED9plDIZ8IzY9pfXHPk+pddmc1KW9458DqVFGGc7epT0zD9DBez70bfW65HvuENHjp1SnBmLF6ce3q/4kihZ/s1l5v+6GD33SuR7lsyMzniNx57YptfCkMsI9+e7cI8Kt/Y+uFSlbRqOFzL7lp4iuX6EyxQuLbLNbx22lcxFEecvVpnJ5Q2wup5Wr19K19MWofonsdPR6hLCCfaVyQvc7yZq5R4iu3hJWqRvP3KUTD30oR+nqwnX7x3WwIDUmBFGz8pov9WxRTWRvVb770A2iM8coV46s1LJlZXJlXKk+5Sn3kP47coveb1JEuFbmu/6IOkzcTfvv+tAbjStS89LGieWh845SjCHe5RJt3k8961OOYPOwCL9sPE9bb50Xr3MXCKOPmplmYWyg2U/b6MJdo6VfiVyZCL/+o0ePhNWXNRCTGN4oWCxRoEABtxFKrREeEUnd/9wjsjtnDPSj37pUonqmuK4MwzCMCwliFSpUEBZa8NXHa3SE0AnTgvUvXtg/+2gLCJQpg2ZK8B4PVj3rMHeJGeDKeHM5yfptqdPvzmX0/RpjliK4TwxqUjzB9lpFjDE5wP2nRjGsX/3C9HoN81gf9mBLOY3vXJEiY+NozYnbNGnrJapTzHJcLEfyKMrYZuXNHESBgUb3QJzp5B5V6fdN5+mbVafo983xLj4lcgVT5+rW4yV2qpZfEcTgLoTqdPr2Y1p2LFwMDGW5Ni+T26xcUro+/dalMjUbv4X6NyhMXWta/j3bVcwrBDHw5YozNKZDWfF6w6nb1Gv6PgpO60eftYqP1XLVFGMOfNa6dIpeQ0qW0UvFc4iYag+exVCT8duV9RnSBVr8zpyZ/alTlXw0d99VZV3Dcdvo6BdNkxT7xVG4Y9uUEiBOUroAP93YhJ5QRj+vP0urjhv7Rt+uOSvaUfAs2mjtExwUSPmzZhQZfeGO9eeOK2LQbSs7w9PQ/IsX6McN8UJWrsxB1LCEfvv8xJSRuHnZ3JQtOC39vecqdZ6yl7rWyE+zd11R9pv3dk3hytlz2l7x/p2/D9G+z5oo22MNxmcvsua6y2/kCvWpWqFsYpFUCssqYn/CbXHYouPUunwe4dKKyScJnkn7Lz+g+QdvimQwauQECpiy7RK1rZCXytogqN56FKmIYfZmCvUWkFin29TdQsyGkD2jZzURl5RhGIZxDA51OkeGx2zZsimvL1y4IP5ql6NHj1JKAbNoBNlUgxk5GWSTYRxFZMwLIRpUHb2ejt8wz8bnKcGWwdiO+lY8sJD6sZN5xsKSFiyhHAm+9/PWpYRLBjI1nr9jjHGW0tw3xfnSi5XVrWZCt4WONmTrQqIAyT99a1BnU2ypKdsuiLgtoGyeECqUgoGM9SieMyNdGtuKPmhWwup+2YPTiuQA4O89V0SSAJmtDkRExtKHCxJaC6NTj5hF7gritfz8mlFQUBOUSHbVb14uJ8p1gkpokHGUGOdx5NpDajxuCzX+YTOduf3Yo34KxGbqMGE7jVt7Rlm35PANOmu6zqemzMAZAo11t289oyXwymM3dbP+WWJPeMLuJIK3x2kjt5t4Fm38XljcDmxYVFmvFsMgsFcNy0INimeniV2N1l9w28PvJYl+YRT0PDFLZGrz6+vGdgkC5M4L90TMTsnhEU2pRy3jBM8/e65SrKnc1ckNALJagqnbElr46bHhVLjyekCDIjSgYREHXInngCzWr0zcIcSwsNAgWvB2LRbDGIZhXFkQg2mytJTBa+0C6y0E2G/YsKHNx3zy5AkdOnRILACCGl4jk4x0d+zevbuy/9tvvy2EuA8//JBOnTol4gn8+++/NHjwYEdeKsPQkWuP6MztJyKQ/KB/DiXoILoz0bFx9NQ0g5/d5FqjR/uKeemvN6sr70vlig+KnJLkyxIkBkng793xA6iURGaVzGISgNRkCPSjbzoaraPAB82KU2YbgszDLXLj+/Vpxbt1KVNQALWrkIcC/Hzo6v3ndPiaUWStWdi13bZ3fNxIeV119DpRd55EGge7ahB8/s83qtCgxkWF+JeYVaWrU6uwuWskLMaK5rBNuGxRJqciHmNwaUk0YFKHof8eFn+fx7wQr2H5q2fd7o7su3SfDmjcsnFpU7cZrVll0o4s6QOVzItwQ0eVrD12g5JZN7HJoStPE97PcO9ad9LcYl/y1GRxmy7AV2ToRcZWNWsG1xMZciXNy+SkthVyi9d/qdr8KASgQjxCPw4qnlxgASbLfO7eq2LCCbxRK0xk+2xWOgeFpg8QdWbdyXghKyIyRnleDW9jtAhGZsubjxIXVC+bEtX0ql2Q3m9WnPI4yYXcFdlx/i51/mOX6HuUzh0sMlDnD+XyYRiGcTQO70EgsCVEqipVqlCtWrVo8eLFSiBMpE1GEEx7xKl9+/ZRxYoVxQIQ6wuvhw8fLt7fvHlTEccAvmP58uXCKqx8+fL0ww8/0JQpU0SwTcbx3I0kGrXsJC09fMPrivfq/Xgzf2Tmkll/PIEFB64prxNz54Jggw4z4s+kZEp2La9XN3bcFx28TjGpIEbef2q0fspqQejqVDU//TegDnWpnl/XYswSBbOmV2Z8IaJ90sLcKqt/fdeeMcdAFNcsQVvwLMY42FVnjUN8MbhPwdUmNetJSoGgxnApBY1KZKfF/WvbbKUCMXBhv1oiWyWypu44b55YgUk9lh25IdpvCTLtQQiC5e9BnYyx7gYy0klwP77ftJjSbsLq9ZJJkCiULb2yHyxwJd+vNrpEWwMTQyB9oC9dHNNSWEHKe+PnDWd1xUWIj8bPGCN39K5TkHKHGONStSmfm4rlSDi50qV6AaWNgQgDK7NrD4zP4UAWxBzCq6Z4kUsQm81Ed9PzDO3bq1WNVsxzdsdbtq46aswAidhWHSrloWoFs1BsnIFm7Ejc+lVaIebOZB6TzNvZcuaOcBOGtV7NQqFiEknG/WMYhmFcXBCDUPX7779TWFgYXbp0iV555RXq27evEMLGjRsn1n300Uc2Hw8ZZuRsrXqZPn262I6/mzZtSvCZgwcPCnHu/PnzSkaalAKdSqS19iQLoceRMfTHlvN08MoDi/vM2HmZvjzoR7N2X6V3/z5IO71sUKfuEIKf1p9NFWEmNZhninOEGePEUqxjcI9sR2M6lEtVq5+XimWjrBkC6d7TaNqocrtIeZdJy51SxEwZ3b4sBScjJtTrpkEfKJ4jI4UEuX5cHMQJCzAF1J+96zI9M7lhISX80gG1qVbhUBrWwtwCxBMY0qQ4zehVTcRaKhAaLyjYAixj2lfMo7ibMs5hzIpTirD7lsld8MajSGH5O+TfI8JSyl1BnwSuVmDcq+Vp1aB61L9BEeGGHRUbR4PmHqKHz4xxCnOqgqSXyRNCP3WuIF7PP3AtUTfSozcixN+K+TIpz4DedQoJF+Jj1yPoWx1RTbpqSjdjfG7qG1VFDLHPW+u3FbAyLZI9Az2LfkFLDl6nTpN2iX6I8fNJKCAmARXyZaKi2eMnLODSqnbZf71aflHWsB67dPep6PP8uhFh8IlalcslRLM36xRUngVX7sVPHFoLzQArQcbIxtPh9ObMfeIebVwyO03rWdWpcSYZhmE8HYcLYvPmzaOZM2fS/Pnzac2aNSJ4fmxsLB0+fJg6d+4s0iB7Gj2n76XeM/bRgL8OeoybxQ9rztDXK05R+wk7aPr2+EDh6rgk49cbMwpJPlpwxGOuPzEQNFy6oWD2FMIMZjphbQBO3YqgVyftpHn7r1FENFHRz9fQG9P2CNcSdwniqrUUcMU4TpiNBv/ui7doc4bLpCPBwPzvPjXEoARCozsAcWfHsIbk75uGDl19qLjPIEh5ubyZ6K8+NWwKsOxuQCyGMIuA3kmhc1WjZd2aE7eEAMOkLmiPpYXK8NalqHdd8wQS1x5G0pH77qu0IIkFYmyhTYE7thSeIFRLKxTjOqJMGuG9bYU81Lx0TuFeOWmz9XhQ90x1N2/meFEDsRY7mayJZu28LLLNqoGoBZDhUAI34q/alaXsGfWthXDuEGQAhDBY80mQ7IRJPijjV6sYfzdQQZXRU4YrQJsH6n+/iYp+ulJYuYKwrMZJgcYlc1CVApmFdROSzVjjxkOjSy4LYkbWnbhNb83cL0IPNC2VgyZ0qZzk5wvDMAzjJEHs2rVrVLmyMfhpmTJlRPZGuEi6e7wYax3qwya3ilXHb1HfWfvJUwJ5Sr5ZdVqZxZM8eBYtOjtgw5A6osONTtHP640zhZ7OSpOLAOhTtxC9Ucto1fPHlotCFPxt43nac/E+fbL4BH150NiZ2XT6Dv2ywZi50ZVBPCM5eJEuLK7Ky5WN7h2IU6MOtJySFmKWXCYdCdxQ1w55yeXjh6mBKNyijDFJgBR3grgjbxW4ypbPl4liXhho/v7ERV2UK4T2mmPW01GT6MgkHfVgHUkwIMTULx6feQ+suebj8hM9p289Fs8bLRfvGl0Z4aKMZCSS1uWMsbgkuDy9Ptrb9QsrLvSWLH1ghfbLRqNglj2DufXsJy2Nll7oK4xefkL1fQazoPr2gEkQuEeeU7m5QriTIh+TfNqZLFfB7gsJ61VXlRWzmv+VN9Yr1LWv2pcRr1ccuykmED9ffCzBMxqiz+3HUhBz7b5GarD6+C3qN2e/ELERZxKWxxwbj2EYxg0FMViEBQTEDxj9/PwoQwb3jxdjLWW0GmTl2X3B/V0HkXobwOIDsT5G/RffmQVIvQ3S+RooX+Yg6mOaWYebpXYmOLVBIFdYYyEzD16nhFUWAuoDZL7CjGnXGgWE68fJmxG07dxdOq/qrEfHxQ80pmy9SOGmDqCrgtgs0k0Igd5dGcSZaVjCGFx//LqUFRul8K2XZZIxgvtATZApcx1jmS4mixe4TSYWXP/r5SeF8IH2uf9fB9zG4tQVgSgj23FYYsDKEXzZtoxIkFAmT7Bo068/S0PbzycUBVyFf/ddFdmOIZR+sfS4mXh34Y4pPpjJckeCQbbM2ghwvZbc5xBgH3T6Y6dy7K1n79CYFSfFswJW0JKwrOZWWogbKF0vEWNTTqzBFUxWdVnutoJnkjo7L367id0qm1maMckDsapqFzFOxrz1ktGNWE0D0zNXzd5PG5tZeSE5Q71i2YTY2mv6PpFNt9vUPTRs4REaPPeQEETRj8R2xFLMaiUUgTew6tgt6j/ngJgcaV0ul8hijPuHYRiGSXkc3tqiw4SYXR06dBBLZGSkyPwo38vFU3hsyqaG+BuIbQFGLTvh1lnD4A4pM0tN7l5FuAXB+m35kZtKjKwBfx0Qf9OZ+qDvNy0u4h0hM+E/To6H8/P6s8Iaa++lB1RzzAYqNXyVksnIESD2ydlwY0yVSiZ3AnTSpZvBH1su0AXTzLwaZGvEQKDa6PUUFeu6A9kHppgymLl3h9lJuHXC+AHp24/feJRiFpMIEgyycmBbiyDGTzFVpkUepCZO6/K5RDDqy/cSD66/W2UFBItcuKIxSXMJLz9yjTKx86kqwyEmOLZ+1JCW9K9DL5tcsqdsu+RSz2fRHpmexRNM8ZvA9B2XzOJ1HTS59RdWxYRSZ2089WVzGtiwiHjOW2Jo0+LiL0RYhFBA3ChkVZ605QK9M/uAsGqRNCmZUCiB6yVENbSfOD8QYZo0g1FaUtoImVAFIB4a43jmvFmDlg2sQwMbFk2wDX3CbzuWU97DhVIv4PuHzYx1R4LJ0r/3XBUJHUoNXy1EfeliqbZg9DY2n7lDA/8+IO4RZFId36kCi2EMwzCpiMNHuz169KDs2bNTSEiIWLp27Uq5c+dW3svF3YHw9+PaMzR21UnxPjidH/37Vk3KEOhHx29EUKkRq9zWpQUBdPFg9vNJQ3WKZKWups4nOi+tft4qUkFjFgs0zWPslMPd4k2Tldi07ZeEKXxqA2sJpGNHh0sNdIwP5jsuvhkswHDM/FmCKLsqEDGyZPmYgs1GxsSJIOOftCiudPy/amd0IQCuPJB9+CzaLazD1FkaW5lcgCZsNI9r5yikO1KeTOkSWFsw8aAd6KayEpMBsxnLQBCQLkp/7blsNU4T4l2hLfnMJOD8vvm8EpycsZ25e69ShGkyCxMV2oQIeI5j0N+zVgHyIQNtP38vxcR2LUgQMuifg8LaWO8Z12nSTmr9yzZ6eeJO4Yp4SePK+Pum80rmxfN3jBMzFTVxoCSITQTBq0qY0QpMD2QMRBZhgPiAiBuFRCbyWYjBPPioXKzFWEd9TckKYAWJc75lmnBD2SeWtEUPnG+nKvmEBTuEPSZlQHIFS78psk1e+LolnfmqBU3vWdXi52WcT2thCJqUykHeCjxK3pq1T/SpYfk47tUKIj4qwzAMk3o4vNWdNm2aTYu7g+xMyCq4/ZxxRh9Z5eBKJTuOEETa/LqNzpksiYCzXQltRc4qVyqQWTyYBzcxpmmX6dVfn7xbeV89e7zI9L8KuUUHF51dGVw+NUHg308WxaeYn9StspmgMWe3YyzXZCwVuJOogWWBunNeJSwzdauej1rme0FTu1WipqVzilgnYOq2i6kiGuI7YLF31RT01hZk1rHM6d0nq9E7plg3iFciB4GOZMvZO0oWLU+Nh+goIO4Ep/UTgnA2TUwhxrrFy5rjty26VJ+8aXyWFAxNTz1qhVFYaJAYUEqrG8Z21OLWd6+Ut7gfgsRXCDU+4yZvsR5Y3lEMW3iUFh+6Qa9M3El3HpsnWsBk1D6TVRvEqQ4TtivbDn7ehKqZhK0Jm86bWbBnSebkhuzX6IF5plwhaSmXlZj2DYpnFxMJOB9kMJYhGXKFJD2z4NiOZenYyGZUNEfGJB+DSR6w6oIVubVn4ofNSoi+MSyHW5bNSfmypDPrm4HiOb3zN0RMNSTkwnihQfFs9GOnCkkSiBmGYZjkwdMQSXRZWHLIXPCpHJZZ/IV4VKNQ/GzrJwuPiU4tZkYrjlpDA/8+qLg6uBpww0B2xMlbjR3/AlmCFEuhqT0SulT0wuy56tmNdNtvmALbwm0wNQMR47vUIlyv2gWpWemctP+zxjSgQRElxpQM5JscZFayXDpBYGElJkFWPQiKzfIaqG7RrMZz6FxBuBZgQLD08A2H/nb1v9soAhery33hgWv08cKj9NJ3GxU3WDUj/ztOYR8vp25TdytuvkiYADK7iYWYzE6G9OS4dFhIOJJtZ+8KF1yAzFmMdZAefn6/WvR33+qUmeOt2Vx/YcUDy9x5FjKmykQFOUPSCnea9xobXZkmbXZ+3EZ3QwZkX9CvppIxzxINcxuf1/8dualYXqUUcKWX1lOwpEJMMAnadcRiUoMJKmmJiXttaFPj5BUSNEBYla6JwemSN7mB7IFwqyydO1hZBzdIaS1bv1hWYbloTTjpaXo2jl5+Uil/CGlJBSIM+hyMa4P2auPQ+sIFGRkTt37YUPTN/upTXYScgDiGpA/eBhJhdP9zj7jPMWb4vWtltwhRwTAM44lw65sEDl4xztBKdwK4UcF8H2B2Z2av6vRuI+NgZc+l+1R19Dox6wu94b/DN6j2NxuUNOWu5CbZ7rft1Hz8VhFfBdQxiTigUckcwjxeBtgFNQsndLPoUs0YXP7UrcfCnSK1QMDes6ZONmaz+5kshkIzBIrfArOSGFDOdICrogwMjN9dS6X8mUWWMgQpfq1qfJwTCdwPINbJgawjYs1BoP1rzxXhOjN560VacOB6gphD+Jpe0/cKizEIsrN2XqLx684I91YAN8+ZOy+ZuTG4i8ukpL9J+MRgECLfgSsPaM3xW4pLT1JZfvSm8rp2kfh7grGe7KByActuWExCXjcF1/9n7xVd69GHGqH6f+XzUNHsGYTr31TTJAaTOIgbhgkJCDi2DMTzZSCqVSiLaGf/TOFYYveeGH9jgPND24O2DMv/fo23BnuvUVGzZ7HMsIj+CIRV1J+pWy/SY5M7LSw2kwvc2v7pW0N5j0DoGMS/WiUv9dMJvK6lY6U8wmoUou93pjhnEEsYzyckyD9B8oRahbPSwndqC3HM20BM265TdwtrfGQZntKjqkXXVIZhGCblYUEsCUiXBWThQdyw7R83pEKqjjVmeYY0KaaIZFpuR0SJeFyY8Q2PiEy12CSJCUoyaLg2hbZ6lndGr2p0aHgT2vNJI6qvM7OOjo8MLg9xJrWA+AE6V81HX/yvtFmAV/we7zUyzpz/sv5ssq0ppLsHEinozVr/2aMq7f6ksZhVt+QehRg1EPA2ng5P1rngWup+s0HETpOMXXmKHkfGiAEcgtdKENvuvX8O0urjt+nzJccTZGX8Yc0ZIYZtNwmZyZm9dwYV82cWGcckHSbsoL6z9lOPP/fY7O4Ed1hY7qkFCQSRBt+/Up7SB3ImMyZlaF0utxAZrt5/TsU+W0md/9hpJpg/NLVbaGPl5AueM2DKtotKPWWss/O8sX2DZZitov+bdcIUsfKRyaVcCyYa4LKPJanZPxUrwOC04lmm5uh1Yz8BsSsHNS4qkolI5LMIz59+LxkngxD0XpJcCzG19SeyRuYOSSsmIODq9u3L5W16ViBW3rCWJczW6T1DGcaTwWQ4+iTwHCmRMyPN6FlV9AcZhmEY58GCmJ1AxBq39ox4Xb9YwoxKaj5vU4p61IwPMA1kYPVdF+4LAaLa1+up1c/baO7eK6l2/og9Alc5deZFWIipmdazqm5cCMxiYRChDiavRQaX33LmjjALTw2kVVMplUuHmnYVcouBBLJgfr74WJK/BwNU6TajTjGuF1fDEiHp/KmLKWYQ4kec1ZS9ln2X7tPLv++g0sNX0U/rzorfEIMvuNcgIOsNk0CnHlTBbXD3xfiMddIqbeWxW4olmGRw42JUKlewsCZAhs6DV40x5Fq4YbDikW1Lm7nxSr5bc1qx7LMEyrX7n7vp3b8P0qC5BxXXUymg6mXRYhhHAQsKiGISPCMKfbJCWAehrVZi+5kEMYCYhYhl+Cz6Bb37z0EhgjPWkQHhS+TUf1boUadIqBi8opxn705oZYxnQpFPV4qJCSxfrzAm27EXxJADWTMGmMXulCBG56b364tnMwKWT+leRYiiHSrlVfZBxj6Z8RrAYhsuto4CWSN3DGskJiDspWftgoqIC7zROojxXhCyo9eMfcKaH/EJZ/au5naW+AzDMJ4IC2JWiNLM8kIMafvbdsV6pEEJ64IYZn1Gti1D094wZuBpVjqHEELeNs3g/qpKl/7Z4mP0wNRRtwS2QziTrjP2ggF+pz92CddIuMphlkrOZMuYHn++UUV0uBEEN6mog8s3G7+Fhvx7KMXjpsmZdQRv1QOxvMZ2KCtewwIIoqCt4NwhPKGsYB344FkMZQz0Mxt02AuybuEYoMmPW0TmMO05oZ5tOh0usonheyHm/bjujAjI32XKbir3xRphASWBdcm3LxtToWMfObjCeQ5vU4q6m8RZ6UYJ4MKC30pmrZu967Iy8E5OwGNngXM+8HmTBFmvUJYQ+6xx+d4zJWPbiqO3hBsqfvunprhz6TljIpPC9G9QWIjT2sDKEM5lbL9M6eLbOAgjE7tWFm3JkWuP6JcN1us4Q8ICD2TNYPtAFOUsMyWibVVbiaFf8OYM89hecM3HM8MeILzLPkGZ3CGUPWNaYYEOS7DVg+qJgOSI44UJF0njUjlESAC15Sq2yz4GCLXjOlMDWJaNalualvSvbdGKmmE8DfQlBv51kA5ffUiZgvyFtwXucYZhGMb5sCBmhT+3XzYTk5DiHoMOKbzYKohAOLs0thVN6lZFdKz71C1I6TTxApByGVkrrblyVfxyLX204Cj1mLY3SQJT0x+3iGyLEgz+G36/Say7cv+ZsKxBDCxHdFL71its5o45d99VSo1BTt7MllNd1SqSlTqaZtK/Xn7SatB/zPivPHqTYl7ECRdECIkQEKUlHZIoJCfmA2KbzX6zuvIeIlXXKbvNYsv1nrGX3pi2N8Fnv1p+UuwfpXLrg3vryvfq0iuV84rYMtgms8+1Nbm+Iu6M2jQfItiRL5oKtxeUTcMS2c3cZjM4IO6MM8CMa/3i2YX1RJk8wfS+KtC0taDY2ph3ny46Jqw+IJQBdpdkUhq0Xyveq0vnv25J416Nz36ICQuZyAWDKTWIw/RZa6OgDTdoxMhacfQmtf5la7Jdsj01sxtArC17aFM+t4hFCWtktfD428ZzImampHA24/PzwwVH6Hm07a6TC/bHJ1P41DRBgZhgsLhGG42A5Ig3ZAvqcAf5rDwTnQHE3u41w2y+FoZxd9DXRJiK9afCKdDPRySp8sZEAgzDMK4KC2JWmLbzMp2/Y7ScGjz3kBIIFszqXS1ZYkjbCvEd1u9MVj2wzoFrDDrR+IuHKGafsbwxbY+yP2aY5qhiRtkCMk7JoPOgjik4ONztXp20U7xGB9VR5ttw45Ez6mDcmjMirlVKgOPKzFxhodY7/+83KyY6JEh2sOaE0YJKC8ofKe/7zTlART9dKeLzAIhQ368x1oFMDojJgvL+9fWKyntkG6r81TphVo8Fge4lH7coQRfHtFSyVWpBXBcMpiG4ysGUpHqhUKXeyWQDINDf10zUG9bCPL5LkJsHeYX1xLKBdWlAw6KivkPsm7g5YQbKH9eeEW6SK48Zg+cjdk/ZPCEJ9nNUHB6GsQW4wWEiZajGdU6vje5UNT+9XDmvYm2MZ9Wx6xHUc9peJUkKQ/Q0KpbCHxsnHYpky2hXkcDtcNT/jCEPZu26TLdMruq7VK7pez9tTIv61xaxsSCkl/1iNTX8YZPI9mttAgbu76OWnRCvYSGIWF3JAS77v3epJGJ96bleMgyTevy64ZzINI8oJD91rsgJZxiGYVwMFsSsAKutTxcdFXFZ1JnqIPSUzp1wwGwPHzUvIWZ/BzYsQq9UyUf1imUTA/YP5h+hksNX0UvfbRJxSOp8s0HEkblgGtRINw8IM/ZkqpQWVP6+aejc6BZC0NOKK44QedR80rIkrR1cT2RjRNwWPTHCEUirLQxCEhP04FLXp65RqIPlFyzA9CwIZOB8LdKd0FHiCGIGYdAL1xh15+nag/h4V6gjyCIGsWtsx3KKlRcsDeEuBSsvdby3cnkziZhpkgIqkVDGEgMYLKkpmiMjvWbKdFe5QGYz1xx3B2UIZu+6Iu4pBLQFF+48EZaZcKPdfs44sEUdQt1VA6scbXkxTGrQp14hM8tOdQwxNRC0EZ/w5M0IMxEM8SKtiTHexCVT3EyUoUxOYA/IIFw1LLOwwP11o9FKTLYlc96sLuIMBqf1p09MkxJ4pl+485SG/HuYPl9iOXblnF1XzCZtHEGLsrlErK+qYZztlWGcxZJD1+kHU9zhkf8rrYQTYRiGYVwHFsSsEOjvIwIbVxi5RsSNAojh8UGz4sku+MzpA4QIMrSp8VgfNTf+Vbs0IkujNmD6gn61qHTuYHocGUu/bIiPQSaBNZmeO6WMO1YyV7CIpwUBZUqPKmaZqgqEOj6eB0QWxK8Cv208LwJEbz0bLy46gkt3jS5thbPbdv5v1y8shEUMGtXZGSXXdYKvI/ZbrcJGSysAkc+RQBxFcHvw5/aLdNCUNbNYjgyijgT6+SrfO/etGsLdcUiT4qJzhQGYlg+blxCZvxC3DoGY1YG7EY8Gn4dboZYRbUqJbIpqyzVPAFZyMig+xMY3Z+wV9bDhD5sT7Isyr1k4VLjXpvX3oc0f1KdDw81FR4ZJLWDFKWMDyjZcD1iAfmh6jqjZdPoOu05qnhVJDQuANkA+s+fuvSoSokiLM3XSjTblcokg/GogxmMSRi9LpZxwgyVrcuJ3MgzjOmBy9cP5R8Trt+oVEq7CDMMwjOvBgpgV+tYxWtMg+x5oUiqHWByZsUkCizPEKLEGYolAtPrUZL0CF8tLKksABA5v+fNWqvTlWtpw6jatPXGb6n67QWRVhMgCYEEggciCY3aomEe871rDPCOmo2haKoeIayXpNX2vkrnPEcig53rCkB6wtpBuJOPXnaEIjSunzEYIF6TfXq9E/w2oQ6Pbl6WxHcqJIPQwnGqaAtmx3m1URFhmRcbEiVhxIIdONk/UlTfrFhLiliWQAXPHxw2FBZlWyEE8GnxeG7hbDr5x3e4YUD8xxneqoLw+fO0RdZsa74aMskDsn287llMytn3/Sjk6MqJZigjFDGMPLcvmosX9a9P+zxpbjWXXuWp+Kp/XaL3cqmwuMQgDXy07qWsN622sPn5L/C2ajIQoNQqFCuEKFuRIiCKthrNliBfE0OYiRiQmJBBAHs9ZACvp5j9tES6Sag6b4ppB0GThnWHcH4Qp6Ttzv7AmRXxWTFIyDMMwrgkLYlboViMfFc8RP8sLi5uU5PNWJal56Zw0sWsl2vJBA2X9l+3KUKcq+ZTBDQKgw3UD7hj1v9+kZIhElkIE942IjKVe0/dRn5n7hKsk4p1IdzAILlrGdaog3PaSkzXRGujg/961shgcAAwkELfJUSD2lr1Bz1GeuF5Y/v2+6bzubD2CEbcql4vKmgaY+UODaOnA2vRP35pUMAWyY6GcRrcvk2Bdco7Hg6t4ahfJSuuHvkRv1Eo4S7txaH1aP7Q+vVo1n1n5IRYPw7gCiMsIKzBrQNid0LWySCTxVbsy1L9hEQpNHyBc7mftjE8S461sNyXOaF/RKHonlaGmRB2S4LR+ZpNNIGuGQJFIB1YhaqtyuONP2Bj/zIHFmBTVUuoZzDBM6gHB++1Z+0VsW0y0je9cQXcCkmEYhnENeLRnBViCrR5cTwQsh7tcl+opY0ElyR6cliZ2q0zNy+QS4gtcKiGOdatRgL55uZzYrg6yLhn67yHhKnn9oeUMehJ1oPvUBFk5MThAnBVp3Yb4TY4KlAzSW7GY0gK3UcRxA9O2X6TbpqD8CNC/95LRXfF/qjhckhI5g4V7Y0qB40/rWVV5X9MUEJ9xDMjsNLy10S1UHVcN9xvDeAJwq0YiCbjlw2pWuvjBGvbB02j6YulxemXiDhF035tAhlnEsgRFcyRPeKqYPzO1LJtTsTab82YNqzEXYXkLS2M/0z7IWC2tu6+aMt/CjT8owD0z+zIMYwTxGj9bdIwOXHkohPIpPara7L3AMAzDOAcWxGygbYU89FefGsLVLDWB8AJxzJJwArFMun/9s/cq3Y4wxjJBsHxYgpXJE0wHP28izLXBm3UKOr3DDSsdnA+s2xC/CW6dyeXEDePADgNAe2hcMjtVMbkojl931iz5AAS8lLACswXEkMHvhuyjetZMTPLAwBVuocvfrSNiww0wBdxnGE+kU9V8Ip4VLIc/WnCEpu+4JET/XjP30+OUSfzrkkjLX2hSsJpLLj92qkCrBtWltUNeUqyIrYF9zo5uIZ7PCG/whSnZwdX7RkEMWYIZhnFvpm2/RPP2XxPtzK+vV3JaP5JhGIaxHRbE3BiIZTIo/jerTinZFjH4QfD9ZQPrCpFoao8qdODzJvSZKoC+M1Fbt/WdtU/M3CeHy6YBBWbt7QEucfJc/t13lc7feaLM1ufN7NwYWvjdkH3UWpwwJnkgFhtiw0H8ZBhPBa46sIoEa1QTEHAXn3vex2MzUG47e5f2XbqvPB8/XWTM8oh4Xo5wJUcMTkxM2QO+94v/lRbZnpHs4L1/DlG/OQfEtnxZWBBjGHdvc0avOCleI1M1ssczDMMwrg8LYm5Oj5oFhACGIPULD1wX67KkD0zQCXelQX+xHBlpTIey4jXGYiOWGGfKkwKuG2ntQb4kiFhVwrIIS7EXcQZq9MNmemvWftOxeHDCMIxngLiTSAijTiwCUeboAx+q890Weh5tHuTd3Zm37yp1nbqbXp64k16duJP+2HJB2ebsQSrctvvUNYYuWHr4hrI+jN22GcZtgQt0/78OiL5kh0p5lEQaDMMwjOvDgpibg1hY2kDsoRlcR/yyxGvV8tO6IfXEoGz9qXBaecyY/cteDl4xxvvKERyYZNP0D5olzP6TPdh68GqGYRh3AhYLEritD6hfWLwOfxwlLHUxkPMUflpvdIEHey7dV64NSWuqF3R+XEa4aSPWmwTZi1+vnt+p58QwTNJA7FkkscIELZKffN2+LCc0YhiGcSNYEPMAKhfIQq9Wic+a5Yj4KKlBkewZqV99Y/wmBHqOiLQ/oI10E4WlV1LdYBAb7n/lzQPot9G8ZxiGcWcwYYCMxRXzZ6LhbUrRm3XCKGtao1C09exdmrnzku7n1hy/Rf1m76cBfx2gkzddKxC/nmVxzIs4uvHweQL3fICkNa6QORaxPL97pZyYyMmfJYiOfNGUcoU4102fYRj7QUKrwXMP0dnwJ5Q9IzLLVhZJNBiGYRj3wfk9Qxv47bffKCwsjNKmTUvVq1enPXv2WNx3+vTpQhhRL/icp/Nxi5JCCIMm5E6p29+pX5gKZU0vrBSa/7hFDGbAs2hj5sjEOH3LmKmyeI7kJTz44dXyNLFrZRHM/tLYVlTJznhkDMMwrg4yFi96pzZlzRAohKHPK76gkW2MlmPfrjpNV+6Zx3M8cu0h9Z21X1jwLjtyk1r8tJW+WnbCJeKORca8oNcm76KaY9bT9nN3lfUQw2AQFujnQ2/VK6RklJXJZVyFWoWz0q5hjWjj+/V5AM0wbsq4tWdo3clw0Z7+0b0K5VBlg2cYhmHcA5fP8T137lwaMmQITZw4UYhh48ePp2bNmtHp06cpe3b9Dm5wcLDYLnFEAF1XBzHC1g15SVhZFQh1n6w2mElDYHMMbG48iqQf1pyhzEH+NHbVKZEBsGWZXJQlQ4DF4MUIhA+KJlME9Pf1oeZlcibrGAzDMO5G5yp5acWx27T74n0atugIze5dXXlm7r9sdElXM2XbRREAvoeTM+D+uf0i7bpgDJrfZcpu8ff9psWoQj7jZAbOEdeBjLKV8mei7C44UMX5+Xp+94RhPJJlR27QrxvPiddjO5QV7pIMwzCM++HyFmLjxo2jPn36UM+ePalUqVJCGAsKCqI///zTaiczZ86cypIjR3wwYU8GmQndSQyT1CwcSm+9ZAwyPHHzeRqz8pQItj971xV6fcpuav3zNlpy6DpFxSYM/HzrUaT4m1sVj4VhGIaxDR+fNPRNx3KU1t+Htp+7R3P3XlW2wXIXvFErTFjOvtuoqHiPTGrOdp9cp8qYKfl+zRkRTF+bZKVQtgwikQDDMIwjOHb9Eb0/77B43aduQepQKT5sCcMwDONeuLQgFh0dTfv376fGjRsr63x8fMT7nTt3WvzckydPqECBApQvXz5q27YtHT9+PJXOmEkqw1qUTBDHSxIbZxDp6ZEF8uaj5/HrX8RR+GOjIJYzxPVm/xmGYdyBsKzp6f2mxcXr0ctPinZ285k79Pum82ZxKQc3LipcD6Nj4+jdvw+menbKEzciaPXxW2Ii5MCVh2Ldv2/VFFndtGTPyM8EhmEcz90nUdR35j6KjIkTWWsRsoRhGIZxX1x6yvTu3bv04sWLBBZeeH/q1CndzxQvXlxYj5UrV44ePXpE33//PdWqVUuIYnnz6s/gREVFiUUSEWGc+Y6JiRELo48sG0eV0SctitG+S/eF6+TU7pXo1K3HNHnrJRFX7Gn0C7r24Dm9OWMvzX2zGgX6+9Kx6xEiVoyvTxoKCfRxyd/K0WXkqXA5cTlxXXLuPde1Wl767/ANOnztEX2y8IjIfCgpnTuDst/X7UrR/357JIJID5l7kMa/Wk5YmTmKEzcjaNauq9SmXE4qnC09LT50k+oXy0pPomKp85S9CfYvlSOIvmlfmsa0LUXD/ztBc/ddF+t71sqf7HaX2yUuJ0fC9cn2MnJVMBmAJCPopyJRyS+dK4o+KMMwDOO+uLQglhRq1qwpFgnEsJIlS9KkSZPoyy+/1P3MmDFjaOTIkQnWb9y4UbhnMtZZu3atw4poSAmj2eKTs3sI8uXICiREr+tPiX4/6UvHbzymPhPXUufCcbThBjohvhSQJo5Wr1rpNWXkyXA5cTlxXXLePdciFK5AvrTxdHyQ+nYFXtDjM3toxZn4z3TOT/TbCV9aefw2RU1aTW0LGJOhJJfIWKJvjvjS/ag0NP+AUdgC3689q7t/zexxtH7tauV9LX+iKtWIouKITu/dTPGRRJMHt0tcTo6E65Nlnj0zT+zhSiCZyIilx2nvpQeUMdCPJnevQiFB/s4+LYZhGMaTBbGsWbOSr68v3b5tHisE7xEbzBb8/f2pYsWKdO6cMfClHsOGDROB+9UWYnC3bNCgAYWGhibjCjx/Jg8duyZNmohyTmlKn7tHvWbup53hPpQzdx5acvmmWN+lZkFq2awYuSKpXUbuCpcTlxPXJde45yKzXqDx6+Ofl+0bVKNahRM+B/MevEEfLjxGG274UEDmXPR1u9KUMW3yuhQTN1+g+1GWn9WgRM6MwnoYfPl6PSoQmnKTVtwucTlxfUpdpIeGozPVf/fdd3Tr1i0qX748/fLLL1StWjW7jzNjxyX6e88Vkc3959cqulVGd4ZhGMZNBbGAgACqXLkyrV+/ntq1ayfWxcXFifcDBgyw6RhwuTx69Ci1bNnS4j6BgYFi0YJBAosYiZNa5dSgZE4a3LiYSHO96JBRDAMtyuZ2+d+J6xKXE9cnvufcoW3q37AorTp+WxGd8oZm0G1fX61WgB5GxookKNj/wbMY+rx1KSqdOzjJmZ0PXotQskXefRJN03dcIn/fNJQ1QyDdfBRJjUvmoCk9qogEKy/iDBQUkDpdGG6/uZy4PqUOju7LJSVTvR7bzt2lUcuMYv3HzUtQgxK2f5ZhGIZxbVw6qD7Ag2zy5Mk0Y8YMOnnyJPXr14+ePn0qsk6C7t27CwsvyahRo2jNmjV04cIFOnDgAHXt2pUuX75Mb775phOvgnEUAxoUoQbFsynvO1fNR5ULZOYCZhiGcQD+vj70/SvlKXOQv7DGKmglc3HfeoVpbt+aFOjnQ7sv3qfWv2yjYQuPCtcie0GsyP2XH4jXtYtkpeGtS9H4ThVo0Tu1ad2Ql4TY9lkrY/DqQD/fVBPDGIZxX5KSqV6PjxYdE+E7Xq2Sl/rWM2ZFZxiGYTwDl+9RdurUie7cuUPDhw8X5s4VKlSgVatWKYH2r1y5IjJPSh48eCAeftg3c+bMwsJsx44d4kHIuD8I3jypWxXad/m+EMIwMGIYhmEcR5k8IbTj40ZC6EosYH61glnom47laNDcQ+L9P3uvUq6QdPRe46IJ9oVV16GrDyhPpqAEmYHhjvToeQwFp/WjUrmDxfe2qxifPbJ3nYIOuz6GYTwfmalePWluS6Z6PZ5FxVHNElnoq3Zlk2wByzAMw7gmLi+IAbhHWnKR3LRpk9n7H3/8USyM5xLg50O1Cmd19mkwDMN4LOkCbJ9sgHAFt8ZFB6/TggPX6Md1ZyhflnTUoZJ5ZufZuy6LoNRqBjYsQoMaF6NdF+6J933qFuKJDoZhnJKp3lLW+QJZ0tEvnctRGsMLiol54fa/jqdmPOXrci888ffyxGty1+uy51zdQhBjGIZhGMZ1qVM0q1iyZgigSVsu0EcLjlC2jIFUt2i8i/usXZcTfO6XDefoxI0IOhv+RLFOYxiGcQaWss53y/+Ydm5aR56Gp2Y85etyLzzx9/LEa3K367InazELYgzDMAzDOISPmpegaw+f0/IjN6nb1D1ULSwLTXmjCgX5+9KFO0bRa0yHsjRz52U6eTOCAnx9aP2pcOXzuTOl41+CYRinZKq3lHX+f808K+u8p2bQ5etyLzzx9/LEa3LX67InazELYgzDMAzDOATE/vrhlfJ093GUCLS/59J96j51D/VvUEQEpU7r70OdquSj16rlF/sfuvqQ3p61n25FRBJC8+TOZB5bjGEYJrUy1Xtb1nm+LveCfy/3gX8r52NPm82CmA4yQ9bjx4898gHoSLUY5ohQYLmcuIy4LvE95wpwu+Qa5fTrKyVowf5r9MuGs3Tg3A3qfe6GWN+oeC568uSxsl+hEB9a2KcizdxxiTKm9SND9HOKiH5OrgDXJS4nrk/OmdFPSqZaPWDt1aNHD6pSpQpVq1aNxo8fb5ap3lvHA57atvF1uRee+Ht54jW563XZ8zxhQUyHe/eMwX0LFuSsVgzDMAzjKCZg6WV5u77dBsMw3gQEqJCQkBTPVJ8YPB5gGIbx/OdJGoOjpmE8iIcPH1LmzJnpypUrDnkgeyoytsLVq1cpODjY2afjknAZcTlxfeJ7zhXhtonLiOsS33OuBoYkGLzkzp2bfHx8nH06Hjse8NT2n6/LvfDE38sTr8ldr8ue5wlbiOkgCw0PP3f50Z0JyojLicuI6xLfc64Et0tcTlyX+J5zRbhtso4rCU+ePh7w1LrI1+VeeOLv5YnX5I7XZevzxPnTLwzDMAzDMAzDMAzDMAyTirAgxjAMwzAMwzAMwzAMw3gVLIjpgJTLI0aM0E29zHA52QPXJS4nR8L1icuI61LqwfcblxPXJ+/GU9sAvi73gn8v94F/K/eEg+ozDMMwDMMwDMMwDMMwXgVbiDEMwzAMwzAMwzAMwzBeBQtiDMMwDMMwDMMwDMMwjFfBghjDMAzDMAzDMAzDMAzjVbAgxjAMwzAMwzAMwzAMw3gVLIgxDMMwDMMwDMOY+O233ygsLIzSpk1L1atXpz179rh02WzZsoXatGlDuXPnpjRp0tDixYvNthsMBho+fDjlypWL0qVLR40bN6azZ8+a7XP//n3q0qULBQcHU6ZMmah379705MkTciZjxoyhqlWrUsaMGSl79uzUrl07On36tNk+kZGR1L9/fwoNDaUMGTJQx44d6fbt22b7XLlyhVq1akVBQUHiOB988AHFxsaSs/j999+pXLlyoqyx1KxZk1auXOnW16Rl7Nixoi4OGjTIra/riy++ENehXkqUKOHW1yS5fv06de3aVZw72oWyZcvSvn373L7dsBevFsTwIzMMw/ecK4AHKpM44eHhFBERwUVlhWvXrtHNmzfFa37OWebcuXO0bNkyLicrqDvsXJdsg8vJ/Zk7dy4NGTKERowYQQcOHKDy5ctTs2bNxPPHVXn69Kk4Twh5enz77bf0888/08SJE2n37t2UPn16cU3qvgcGtcePH6e1a9eKthEiW9++fcmZbN68WYgNu3btEucVExNDTZs2FdcrGTx4MP333380b948sf+NGzeoQ4cOyvYXL14IMSI6Opp27NhBM2bMoOnTp4uBvrPImzevEIz2798vBIiGDRtS27ZtRfm76zWp2bt3L02aNEmIfmrc9bpKly4t+lVy2bZtm9tf04MHD6h27drk7+8vxNgTJ07QDz/8QJkzZ3b7dsNuDF5CVFSU4bvvvjNMmjTJsHv3bmefjssSHR1t2Lp1q3gdGxvr7NNx6XL6888/DQsXLjScPHnS2afjsmX07bffGn744QfD4sWLnX06LklcXJxYBgwYYGjYsKHh3r17zj4ll27DX3vtNUOJEiUMBw4ccPbpuOw916dPH0Pu3LkNY8aMcfbpuHRd6tu3ryFNmjSGsLAwZ5+Oy5bRRx99JOrT8OHDDc+ePXP2Kbl033Ly5MmGbdu2Oft0GAdRrVo1Q//+/ZX3L168cKt2FcO7RYsWKe/Rz8iZM6eoq5KHDx8aAgMDDX///bd4f+LECfG5vXv3KvusXLlStJPXr183uArh4eHiPDdv3qxch7+/v2HevHnKPuiXY5+dO3eK9ytWrDD4+PgYbt26pezz+++/G4KDg8U97CpkzpzZMGXKFLe/psePHxuKFi1qWLt2reGll14yvPfee2K9u17XiBEjDOXLl9fd5q7XBPCMr1OnjsXtntRuJIZXWIitWLFCmPrNnz9fqJwwKYYJLpNwRgxmnPXq1RPqt6+vL8XFxXExacCMR44cOejPP/8UZsCYBfj333/FNi6v+DLKli2bmCnArMlrr71GP/30E5eRBphdP3z4ULRNGzduVOoRYw7abZhhX758mf7++2+qWLEiF5GGq1evipm+Y8eOiVnK119/XViqsLWKOePGjaOQkBA6efIkvffee6Jeac3/vR24WhUoUEC4iMFF4rvvvqM+ffqI5xvXp3jQXufJk4eWLl1Ks2fPpldffZU+//xzYQXAuC/4/WC1A9cgiY+Pj3i/c+dOckcuXrxIt27dMrsmtINwBZXXhL9oD6tUqaLsg/1x7bAMcRUePXok/mbJkkX8xW8FqzH1tcGdLX/+/GbXBlcw9N0lsHKBtbm0yHImsCD6559/hNUbXCfd/Zpg0QeLKPX5A3e+LvQT4I5cqFAhYREFF0h3vyY8u3C/v/LKK2L8j7715MmTPbLdSAyvEMSmTZtGnTp1UsxtIYZ9+umnwlyROy5GMICCmTXKqXLlyjR06FBlwM7Eu46MHz9elNOvv/5KW7duFWIPbnyYlGKwgAbA2/nkk0+EgAFRDKbDCxYsoHfeeYemTJkiBlNcRubgYdioUSMRowDtEoQNJh50PCA8Q8jYvn07VahQwcxVgjGyZs0a0VGBOX6tWrXEfYY2i9twI/fu3aNSpUrRN998I8QLmPS3bt1adHLhAsAYiYqKoj/++IN69epFGzZsEBMZEKEXLlwo+ktcn4xgIIOBA+LAoC5h4hUxgUaPHi3+Pn/+nKuUm3L37l0hUKgHrwDvMTh0R+R5W7sm/MWgWI2fn58QnlzlutHPRn8Akz9lypQR63BuAQEBYlBu7dr0rl1ucxZHjx4VMacCAwPp7bffpkWLFonnlDtfE4Q9uBnrGZ6463VBAIJmsGrVKtG+QyiqW7cuPX782G2vCVy4cEFcT9GiRWn16tXUr18/evfdd4VLpye1G7bg8aN3VFoIYS+99JJ4D0sxdPR69OhBv/zyCx08eJC8GWnRlC9fPqHmY0A+cOBAYdkD/2h0ftEx8HYg5GAGAEECX375ZercubNYD994+JXDmu7OnTvkzch6gtgOEMUwWw7QKGIg1bNnT2Uw5c1WBvLa5V/47iOWEWIQIGgsW6+axy6C4IwZOcyuQSzEAxvWKnhoYxDqzZaZagswxCBB/BjEhMC916RJE6pWrZqI4+BOnZKUAh20H3/8UVg/I+AtKF68uLj/ZCwQbpeMA7RNmzYJkV6C+oN6xH2B+DoC4Rn1BoI9QD1CPxMDBQwmMGHGMIzjLY9gBQ3RxRPAM+jQoUPCkgZ9G4xNEcfJXUEfDZbXc+bMEckoPIUWLVoIKyqM+WDZhb4nvDvc3asDfedKlSrR119/LazD8JxH/xrxwrwNjxPEzp8/b9aphdk/BuMYJAA5awcXAHSMUam90UpMlpO01qlRowZ9+OGHQhhDYEd0ht9//32xDWKPt4JyQoMBIQeNOzq/CIKIcpP1DLMCsFjRKuTeVpdkPalfv74oJyl+QbhA4wqrDDxUMJDwRisDWU7y2uVfCBmYnYEY9tVXX9HUqVPFOpQZPuOt5QQBA0BIRTuOOgWBB8IzzNZhpo4AtLDO8DarQ3VdkvUIgwQAK1YAK1bMOMOKFYGhkUnI20Qf2X4DWM+hI4u6Itfh2Y8scrJsuF0i4faAbFOYMESQXVhAwcIXLt3FihUTs8ly8sfb6pK6/c6ZM6fIqIUZdimIwYWmZMmSQkBcv369sLZj3I+sWbOK/ow2Sxze43d3R+R5W7sm/NUmDcDEFDLIucJ1DxgwQEzWoy1CQHoJzg1tOQQKa9emd+1ym7OAZVGRIkWEZw4mQzGpBatcd70m9MtQhyCyoA+HBZ4i8BrBa0wYuON1acG4D89DTGa7628ljYRgkagGzzDpDuoJ7YbNGDyEqVOnGvLnz2+oXLmyoXr16oZZs2YpQeERPFcdDA+BhwECxeIz3hQ8XltOs2fPFsFCZfA8CQIAZs2aVQSKBd5URpbqk7p8ZJmBN954w9C1a1ezuuUNJFaXECjy888/N9StW1cEd12wYIGhS5cuIkDjuXPnDN6CtXICv/76q2HgwIHK+2LFiolglAh06e3lFBkZKbbt2LHDULFiRcM///yjtEUyyH7ZsmUN3lxGMiDr999/b/D19RX1Rx3cdNq0aYbSpUsb/vvvP4O3YOtzDpQrV065/7zpOaf3jJPPrw0bNhjefvttEVi8SJEihvXr1xtOnz5tGD16tAiUPGPGDIO3ltPMmTPF+hs3bhg6d+4snmcoOySPQaBhBEpGoOJ8+fI5+9SZZIC6j2Q3ErQfefLkcfug+nhOSB49eqQbHHvfvn3KPqtXr3Z6cGycOxIcIKnBmTNnLAY1nz9/vrLu1KlTukHNb9++reyDJGsIai77Ga5AgwYNDD169HDba4qIiDAcPXrUbKlSpYoYI+G1u16XXtIAJED46aef3Pqa0IfWBtUfNGiQoWbNmm7fbtiLRwhi48ePF502DJaQ5QfZIFDxJkyYIH5MDAQwSMB+QFa+CxcuGIKCgswGD56MpXL67bfflI6wHBAg2x0GCejUyXUoN28YMOiVEwaa6nJCvUJZxMTEiIE6GjYtatHDG+sSQEYVbZ1JmzatWTYWT8ZaOUkh45133jFMnDhRdPQgXOAhi30wiPcWrJWTbK+R/RYPYjW7du0S9ckbsk5aKyPcY8ePHxcTP8iaqO2EYCCHgbo3YEvbhPZbts94ztWoUcPgTdjSLuG+a9q0aQLxC23UJ598YvAGEutbYnDTqVMnIZRBKIT4DA4fPiwGEZcuXXL2JTBJBL85Bn3Tp08XAz5MrGfKlMksS5yrgUH6wYMHxYIB6rhx48Try5cvi+1jx44V17BkyRLDkSNHDG3btjUULFjQ8Pz5c+UYzZs3F33a3bt3izqPeo1BszPp16+fISQkxLBp0ybDzZs3lUWd+RYCPoRriPkYmGNALwf1AM/IMmXKiDbt0KFDhlWrVhmyZctmGDZsmJOuymD4+OOPRabMixcvit8D7yEirFmzxm2vSQ91lkl3va6hQ4eK+offavv27YbGjRsLoxFkPHXXawJ79uwx+Pn5icmus2fPGubMmSN0EfX4w13bDa8TxJ4+fWpo0qSJ6KioZ3/r1atnyJs3r6h06Nih04vKilk9yeLFi8U6pEf1dKyVU4ECBURZqNcDVGwIiR9++KG4wVu0aGHYv3+/wZOxt5zwUEY9w2wAQOcDszuejK1lpN4m/+LhnytXLjFb4ukkVk6wmANomwICAsQMEzp+d+/eNbz11luGwoULi9feXk4LFy5M8BkpZvzyyy9C7MGD3FvLCJMWy5YtE++/+eYbId7/+++/ymfRYYMVnTcIrEl5zqGjW6tWLcP9+/cN3kBiZSStSq5duybEeTmYRoceM+GY7Ufn2dNJ7J6T5YRyUc/6AwiGJUuWFAIF477g+YIxAp7PsBjDBIwrs3HjRiGEaRfZJ0UdhtV+jhw5hNjXqFEjYfmpBpPhGMhmyJBBWK/07NnT6fVY75qwSAEaYHCOyUW0WRjQt2/fXvTP1UCgxjgmXbp0QsxA249JbWfRq1cv0eaifkEcwe8hxTB3vSZbBDF3vC5MfGDsgt8KfU68V3twuOM1SWA0VKZMGdEmlChRwvDHH3+YbXfXdsPrBDHMZmbJksXw119/ifdSsXz55ZeFeS3MNPGj4MerXbu2oVKlSmLmBxUZFRqVU61yeiqJlVO3bt0UpVsONvGZDz74QMxYYJD16quveryFmD3lBOAqgQ4yzITxcIOoAfUcZah1zfHWMpJgZhX3I/Z78uSJwdOxpW2CWI+HD2aX1ObGV69eFQ9NzDZ5OkmtTygjdDrUHS1vrksPHjwQ9xXKBAN2DOQh0Pfu3VvM3KkngzwVe+qS7IguX75cdPK8RRCzpYwg8EAQqlChgugjweIJnXnUJQg9x44dM3g6tpaTFlgQoMwgTjMMwzAM4/q4VSTiefPmiewHCDiITEgyICEC5Y4aNUoExkXgc2S3QIr1li1bigyTyDSJ4HcLFiwQgc+xb7169UQ2jAkTJnhUJoyklhMynMjAwgg6jCDx33//vViQffLMmTM0d+5cjwqwn9xygqC8fPly2r59O+XJk4eOHDkilsWLF4sy9IQAzcktIwSZnD9/vgjMjGycCDY8btw4Sp8+PXkSSSmnnTt3ioDMyHqLAOgIqipBwFgk/WjQoAF5Eo6oT2iHhg4dShUqVBBJUj766CPyJJJaRpcuXRL3Fcqnffv2IvgwsuEi6CuOieCpnkRy65JM2oC/SHuPTF+eRlL7TGin06VLJwIhI0gysmvVqVNHtFdLly4VbbknkdS6dOPGDeUYixYtEu0SMnWhb4BkIAzDMAzDuAEGNwBuQ5iVQ0wGWFIgABxMFmVsC8TeKVSokFgwcwdzRemOBN9YzABLYJEBM0b4wXoajiwnzAC3a9dO2e5JOKqcYAWGoLqI2aMuO0/AUWUEqzC4HTRr1swjg3o7qpw81ZrQ0eWEthvBPWGCv3TpUoMn4cj2G8BazBOTMjiqnKS1M1wDEUfDk0huGUkXXHDlyhVRPp5WRo6+5xA8+fXXX/e4dolhGIZhPB23EMQQgBv+++i4Sjp27CiCusk4DnCfQVYDdGRk4Fy4RqAj4y0BvLmcUqec1PF59DLeeAKOLCO43ngqfM+lfn1yt7gEtsJ1icuJ6xLfcwzDMAzDpC5uIYghJkqHDh3MBkMYNCG2VcOGDZU4DtqsfnPnzhUB4rSB7TwVLicuJ65LfM+5Itw2cRlxXeL7zdXgdolhGIZhGJeLIbZlyxZavXo1xcbGKuuKFi1Kx48fF68R6wOcPHmSGjZsSJGRkbRkyRKxDnGb7ty5Q6dOnRIxeQYPHkwdOnSgrFmzipgOngSXE5cT1yW+51wRbpu4jLgu8f3manC7xDAMwzCMLq6iCd65c8fQvXt3YfVVvnx5kalHcv78eZGSFtn8vv32W0PNmjWFq8369evFvkgHKtm/f7+IfYXtyADoaXA5cTlxXeJ7zhXhtonLiOsS32+uBrdLDMMwDMNYwyUEMaQ/nzBhggi8DTdHBC4dM2aMCIAv2bZtm+HNN980VKpUyTBgwADRyQFIfY1YNGoOHDhg8ES4nLicuC7xPeeKcNvEZcR1ie83V4PbJYZhGIZh3EIQA7t27VKy84wcOVJYhB08eDDBflFRUcprxA4rU6aM4auvvlI6P54OlxOXE9clvudcEW6buIy4LvH95mpwu8QwDMMwjFsIYnFxcWbvkeK6b9++hoiIiATbnz9/LrKQwaqsYsWKhiNHjhi8BS4nLieuS3zPuSLcNnEZcV3i+83V4HaJYRiGYRi3EMS0FmD//vuvwc/Pz7BmzRqz7deuXRNCWJUqVQxZsmQx/PXXXwZvhMuJy4nrEt9zrgi3TVxGXJf4fnM1uF1iGIZhGEaPNPiPXJRatWpR+vTpac6cOZQ9e3aRQTJbtmz0999/040bN2jo0KHOPkWXgMuJy4nrEt9zrgi3TVxGXJf4fnM1uF1iGIZhGEbikoJYbGws+fn50fHjx6l8+fI0btw4On/+PG3bto1mzJhBZcqUcfYpugRcTlxOXJf4nnNFuG3iMuK6xPebq8HtEsMwDMMwbiGIqalWrRrt27eP8ufPT5MmTaJmzZo5+5RcEi4nLieuS3zPuSLcNnEZcV3i+83V4HaJYRiGYRjg46rFAIuwsmXLCiuxyZMn06VLl1gM43Li+sT3nNPhtonLiesS33OuBrdLXE4MwzAMw3iQIObr60sdO3aku3fvUu/evZ19Oi4LlxOXE9clvudcEW6buIy4LvH95mpwu8QwDMMwjFu5TDIMwzAMwzAMwzAMwzCMV1iIMQzDMAzDMAzDMAzDMExKwIIYwzAMwzAMwzAMwzAM41WwIMYwDMMwDMMwDMMwDMN4FSyIMQzDMAzDMAzDMAzDMF4FC2IMwzAMwzAMwzAMwzCMV8GCGMMwDMMwDMMwDMMwDONVsCDGMAzDMAzDMAzDMAzDeBUsiDEMwzAMwzAMwzAMwzBeBQtiDMMwDMMwDMMwDMMwjFfBghjDMAzDMAzDMAzDMAzjVbAgxjAMwzAMwzAMwzAMw3gVLIgxDMMwDMMwDMMwDMMw5E38HwJ7WHvogtlwAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "code", "execution_count": 9, "id": "024ea1f4-f617-4ae8-b486-78ee132d756c", "metadata": {}, "outputs": [ { "data": { "image/png": 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vvMAFiE4aHD+YoUJHxW6/4mKPjgmOQTiT0IGB68kMXFbo7CAXA3JamC/cSH4PuzlmO/EeXFT4b+iYlDepqBJz4QrD+iLHHTqWOF510JmB5d6pEOZvaCS2J6zm+G8IjYTABBs89qnirrvu4qT6mJmEyIZwAGxbvdAEEtdjPVVeNCefAehkQgiD+ww55+zAbCzOTawfQE4zCHiYgcYM6vr167mypG71r8pQZkEQBEGoKeCaj1xT4I033qiQ38BkM5g7dy6H2ekEMtTNaUQA+nhl+ay/UQ1l/d9OP2f+H+gbQ1hCVfDvv/+eU0mg8BL6u8g15iRCQQlh6KfqIEQUhgTdTYbjBilxIJYi3xgmeZ1GJqDvC8EQ4y8Fxo0IAUW/Eq441dcXp78gOKN6qQU1CAzuVcw/FH8r4crJMv4sVxYwy4FcBhMmTDBeu+eee3ggPHbsWLriiivo999/50YU4WVOwXcipxhEHMTpY53RyCNkC/kAAvkfagMQjzD7Bzu6mjGEXR32cKfCjVNwMcZMFBKXIjkq9rOdIwwCCazWyLWFDgwEUxwrSCqqg/BaCDBwXmFGzOr7ILqiM4N8D8izgLxXSP5uN7PmzzGMCz9ydEEwhi0cTko40HSQLwG5IdDJqIjjDx0khLMi5BCdEXT8sD4QGhU4ryByYR/gvEBHCiHHekJ9zJzq4cNOPgNg+YdQqQtvZjBDjfwfEOhUhw8zgxBGkVcCHSWc66qjiFBmOBKR9FYQBEEQBO+oolAQcVTCdX/c8VgGYhDEFpV6AeIKnOAqhA99LQg4uOb7EwZphTlhO3LUog8FZ72TiIDyRBP4i5P/bRWhUJ7thf0IBx9u6M9hv6FPhvxnviIUAAo3YZLY7FiDEIa+NcDxgrzLEE7Rv8b+xrjAn8gETPaqYk8K5KfDZCfyOOsT3uL0FwSHFAu1iuuuu6744osvdntty5YtxeHh4UgaZbz2xRdfFHfu3Lk4LCysuGXLlsUvvvii22datWpV/Oqrr7q91r179+LHH3/ceL5nz57ia6+9trhBgwbFERERxW3atCkeNmxY8ZEjRyrs/wl1kzlz5hR36tSpuLCwsKpXpVbx5ptvFp9zzjlVvRqCIAiCUGP61ujn6n1dvIdlwOjRo4uTk5OLv/322+K///6bX09MTCxOSUkxlh8+fDj3s3/88cfiNWvWFF900UXFsbGx/FnFww8/XJyUlFT84YcfFm/atKl4+fLlxRMmTODn4PTTT3db3gosg++96667itevX188bdq04piYmOJJkyZxfwrfP3To0OKNGzfyupxwwgk8Vpg5c6bbd5h/x8lnrT5nNbYw/56v/41xBn4LY5sDBw4Y/cKybK8lS5YUP/PMM8V//vln8bZt24pnzJjB46V58+ZZbs/Vq1cXh4aGuu3LX375hV/Lzs42Xtu6dSv/L6wj+PTTT4tvvPHG4kBjdwzgmKuI3xOE2oY4wmoZcH5YhbXBCWJOcmlOdKmjyhGbZzd0EGaFBJ+CUNEgDwfyUezatYuddEJgwKw0nG6CIAiCIDjDW0oQJ+54RFQgnA/hhUiVgUgNOIt04OZHzikU5EEuL6S6gDve3yiCa6+9lp38yFMG1xDyTME5DieUk4iA8kQTlAVf/9sqQgHjnLJsL+xHhBbChY98unCDIX+aKnTgK0JBhUXi/+t5u5CaAr+vijfByYXtXxmI018QnBMENcyP5QVBEARBEARBEIRqDIQp5AmG0CMEBuQhQz5chB+aCyjZgQlHhL7iHmGdED39yVHrD6jCidBO5DwTBME7zs5gQRAEQRAEQRAEQajDEQpw1CFCwSnXX38954aFew4OQYhiFYU4/QXBOeIIEwRBEARBEARBqEWII0wQBMEeEcIEQRAEQRAEQRAEQRCEOoGERgqCIAiCIAiCIAiCIAh1AhHCBEEQBEEQBEEQBEEQhDqBCGGCIAiCIAiCIAiCIAhCnUCEMEEQBEEQBEEQBEEQBKFOEFrVK1AdKSoqot27d1NcXBwFBQVV9eoIgiAIgiAIQq2luLiY0tPTKTk5mYKDq8c8/fbt2+ngwYNVvRqCUCvJzc2liIiIql4NoZbSoEEDatmypddlRAizACJYixYtKmq/CIIgCIIgCIJgYseOHdS8efNqIYJ16tSJsrKyqnpVBKFWEhISQoWFhVW9GkItJTo6mtatW+dVDBMhzAI4wcCWLVuofv36FbeHajj5+fn0/fffU79+/SgsLKyqV6daIttItpMcS3LOVTekXZLtJMdS2fnqq6/ohhtuoKj2J1OD8+7k144s+YImDD+PBg4cKOdcGUlLS+NJaNUHr2rgBIMINnXqVBbEBEEIHPPmzaNHH31Uzi+hQoAANnToUG7HRQjzExUOiYtxfHx8ReyfWjOYgtqKbSRCmGwjOZbkfKsOSLsk20iOJTnfKpK+fftyPzG+5/kUHBHNr9XrNYhOPf0k2z6jtEvOqW4pSSCC9ezZs6pXQxBqnVAB5PwSqpLqEYQvCIIgCIIgCNWc+fPnU1B4FEW26m68FhwZS8sPuAScnTt30v/+9z++V+DxmjVr3F4TBEEQBKHqECFMEARBEARBEHwAIeuWW26hyDYnGK+l/jqV79/7bim9//771KpVKzrrrLP4Hs9xO/roozkMCPd4LgiCIAhC1SJCmCAIgiAIgiD4YOPGjVxZPCTWlT82d+8myt6ygh+vO1RAt9w6nN8HuIdohpv+2q233irOMEEQBEGoYkQIEwRBEARBEAQftGvXjnNYhUTX4+e5O9ZS3t5NVJSbSSGRsRTaoJXb8hC+lAimQJW0TZs2ybYWBEEQhCpEhDBBEARBEARB8EHz5s1p3LhxhhBWmHWEqLiIcrav5ef1+9/mcxuGhIRwiKQgCIIgCFWHCGGCIAiCIAiC4LTzXCKEFUEII6LsTUv4PqJpewqJa+D1s4MGDWJBzRdWSfcFQRAEQQgMIoQJgiAIgiAIgg8gSt1///3ujjAiyli9gPIObuPHsV37ev2OL7/80hC37MQuq6T7giAIgiAEDhHCBEEQBEEQBMFBsvzi4mIPIQykL5/D95FH9fD6HcgZhhxhdmKXqkwpCfYFQRAEoeIQIUwQBEEQBEEQHCTLtwqNBDkl1SMjkjtScESM1+/ZunWrrdilKlPqSIJ9QRAEQQgsIoQJgiAIgiAIggOCQiMoODyKHxdmpRqvFxzZR3kHtlFQSChFHd3L63cgHNJO7FKVKd1+MyhIEuwLgiAIQgARIUwQBEEQBEEQfAC3VnB0PD8uLsin4rxst/ezNizi++iOp3r9no4dO1JwcLDjapJmYUwQBEGo/Rx11FE0fvz4WvM71Q0RwgRBEARBEATBB7GxsRQSneDhBlNk/fs730e1PZ6i2p1EFBxi+T1hYWF0zTXXuL02cOBAFtoWL17Mecis8ooJgiAItY8PP/yQEhJc1xadP//8k8PohYohtIK+VxAEQRCqFehQ/Prrr9SnTx864YQTqnp1BEGoYWzZssXID6YnylfkH9hCBemHKDQuiRoNephf2/bixURFhW7LofKkmS+++IJvdvzwww90xhlnBOBfCIIgCDWBhg0bVvUq1GrEESYIgiDUeq6//no68cQT6Z577uF7PBcEQfCXEItE+TpZ/7rCIxUJfYZ6LAOHlzlHmC+eeeYZTqYvCLUNCLx33HEH3XfffVS/fn1q0qQJPfHEE8b7r7zyCnXt2pViYmKoRYsWNHLkSMrIyPBw08yZM4c6dOhA0dHRdNlll1FWVhZ99NFHHPaVmJjIv4FcfIrc3FwaM2YMNWvWjL+7V69etHDhwkr//0LNB8cSjq9GjRpRZGQknXrqqTz5CnBMIbx97ty51K1bN36/d+/etHbtWuP9G264gY4cOcLL4aaOf3PIIt57++236YILLuDjvFOnTvT777+zYxjnEY7jk08+mf777z/jM3h88cUXU+PGjdnVjIlgTKwIVSyEPffcc7wz4uLi+MC55JJL6N9//3Vb5p133uEdGx8fzzs/NdXTim4GB486kNQN+RgEQRCEugc6I+gM6+C56qQIgiA4AQOMkBh7Rxg4smgaFeXlGM/jjj2PKMizu23OEeYEDPQFoTaCazIG8X/88Qe98MIL9NRTT9GCBQuMc2XChAn0999/83I//fQTi2Y6EL2wzKeffkrfffcdiwsIN543bx7fpkyZwgKC7rq8/fbbWUTAZ1avXk2DBw+mAQMGcIiyIPgDjscvv/ySj88VK1Zwvsf+/ftTSkqKscy9995LL7/8Mvc94fS68MILKT8/n68rELugdezZs4dvEGjtGDt2LF177bW0atUq1jeuvvpqrjr84IMP0rJlyzi0Hse2AqLxeeedRz/++COtXLmSj3H89vbt2+v8Tq5SIeznn3+m2267jZYsWcKNHQ6Gfv36UWZmplvDhh320EMP+fXdXbp0MQ4m3H777bcK+AeCIAhCdeebb76xfB2zc4IgCE5p3rw5nXfJFfy4KDvNcpminAza8epltGOiywkWHBFDre6bTcGRccYyGNhfeumlfm/4vXv3ys4SaiVwyjz++ONcNRWD/OOPP54H7uDOO++kM888k90xZ511Fj399NM0Y8YMt89jDPnWW2/RscceS6eddho7wjD2e//996lz587soMF3oGIrgAjwwQcf0Oeff87pEtq2bcviA5w8eF0QnALdAsfeiy++SOeeey4fb++++y5FRUXx8afA8X3OOeewuxGC2b59+2jmzJkUHh5O9erVY+MO3JC4wbllB9xjl19+ObVv357D7Ldu3UpDhgxh4Q0OsdGjR7s5G7t3785C2THHHMPnF4Q0HO+zZ8+u8zu5SnOEQbHXgbUVzrDly5dzI6YaP+CvVTU0NJQPJEEQqh8I78CMGxpkDCwEoSKPoTVr1li+HhERIRteEAS/iG3UjCg1lc7s3ZO++sl+uaKsVMra8DtFtz+Jn7cYPZ32Th1DubvWc1ikt3xgdkAcEITaKoTpNG3alPbv38+PEcaFKKL169dTWloaFRQUUE5ODpslEB4GcI/BvQJhYBDOdEEBr6nvRL8AYZIQE8whbklJSRX6X4XaBUIPIcSecsopbgVRkIZj3bp1Rk7ak05yXQsAQoARxov3y3Ou4JgGENf013B+4FyBywyOMETLYfIX5iCcP9nZ2eIIq+rQSDOIjVUHR3nBACk5OZnatGnDKqnY/wSheoDZkVatWvGsHu712RJBCPQxBMFs1qxZlu/Bui4IguCUl156ib750RVhMH/mpz6XPzT/dcrbt9l43mToSxTWoCUFh0d5VIZ0gjeXgCDUZCAc6MAdA8EYbhe4uTD4R+gZzBJvvPEGL5OXl+f183bfCSAOhISE8PchxEzdIEy89tprFfhPBaF86Mc1jmm719SxDqcjnGfPPvssF4zCcQ7hLE87f+oq1aZqJHYW3F9QU2HdKw9Idgh3GZRWKJ9PPvkk216RlA75yMxA/cdNAQUVQN3FTbBGbRvZRvbINvIUJVAGWDXOuMdz5QCVY0mOpbIcQ7B8QxSDM8x8zk2ePNmru6IuHnPSLsl2kmPJvn1B0mGI5GanKRJ2P/DAA5R863v8vCDtgM/NiIT6B+eNp+QbJhivJd/0JhUXF9GO166i4tzSVCBOmDhxopvroDZRF9tiwTcQqnCdR24llVfPHBZZFhBCCUcYHGIYIwpCWYETEeGNixYt4slZ1Z4hF5iKbANIBdWyZUt+fPjwYdqwYQOHMgJ8Xi/kEEiwXigQhZx5SgSGwCxUIyEMucIgVAUilxficxWYQYAwhgMTDedNN93ksTzsthDLzCCOXFluBXtUMktBtpEvYEU3V8rCcySZRCMtx5Jv1DY6ePAgC/0IH2jQoEGdPobQefjkk0/crOHYTpjVVflArEDC3bq07czI+SbbSY4l9/PhzTffNJxa1113nTFwQHsLESwoLIJC4xo4FsJA/v7NlL5iLsV0PZuCwyL5taCgYIrpfAZlrPQvT+FXX33FSZXN4Vy1AYS5CYIZiNIQFSACI8E3BvWTJk0q94bCOYSIIeQjg8gGYezAgQOclwxjx/PPP192huAIFHkYMWIEJ8NHVBvELhR8QJsG3eGvv/7i5VAAAmG3CF18+OGHuf+JQoEAYbwQqHD8IacX9IdAaRBIIYJrB84fuMUeffRRv6sW11aqhRCGygaohPPLL79USL4glNRFg4dZPitQZeHuu+92c4ShPC+SKkqcuD24MKHjiMR/ZvuxINvIClRJQQNsBgkbYX2/6qqr5FhycL5NnTqVL7q4kGGGFEk6kTyzLh9DcIQhD4PaTuiMeBPBACZITj/9dKprSNst20mOJU8n2KBBg9zCFZHMGBMNGLxABANhSS0oKCSUCjMOU2H6QW5/hw8fzgKaGThXMRBCtfM5c96ilJ/eo2a3vE2h8Y34/diuZ/sthAH8JiqA1TZUNIYg6EAUgBtz3LhxPF5DBAEMDBCwyguS4iPx/j333EO7du1iYaJ3797cHxUEf3j++ee5T37NNddQeno6RxzMnz+fEhMT3ZZBInukb+rRowcXcoITDKByJK4lV1xxBR06dIgT6yOvVyDA+XPjjTfyb+AYR4J9aW+rgRCGDseoUaM4bhXJ8Fu3bl0hvwOFFYnscHDaJUy2SpoMcUcEHt/IdpJt5BQ9BFkHFw+4m+RY8g2qzCgRTG27kSNH8sCoLhQewIDVCnRicZHXLei+QJ6Evn37Ul1FzjfZTrX5WEJYCvKhIOxJJSu2A2EiVjPkGLggj9Crr77Kz0Ni67u5wVD5EWK6lRCGtmXw4ME8UYHJXirMp11v30Ih0fHUbPhkimjanlrdP4f2TBlDebvXO/5fSPtR3bZ1IKiN/0lwhlVBND2351133cU3HX1Mh4gC3HQgIpiFBKTNMR9ziAiyigoSBH+IjIykCRMm8M0OVCRF9JsduFbgpmMOYTTnloSTzPzaGWec4fYalkEEhDkST6euhkpWabJ87AQ4G6ZNm8a5u1AWGjdUMlDgOQYrys2FsBg8T0lJMZY5++yz6fXXXzeeIynczz//zDt18eLFbG1HRwZuE0EQqo5ly5bZvmfn2BQ8t5NVaGBd334qea7CSR4duDzshDVBEGouGBSjYhecHrg3D5KtQkfseOaZZ4xBRUiMSwgrzHT1QRFuYtf2YlYfIBzFoKiACjNSKGf7auOlhD5D/Plrbn1kQRAEQRBqoBAG1ROVIqFcwn6ubp999pmxDOLAEbc9bNgwfg5LLJ4jlEoBtxfyNygwsIHohVmzyy+/nMMb4Q5ASI0gCFUDzksVXmLFlClTRJRwmC9DJYxV4DlyFNQFdNeXDiY/4ABRwAGCHD/eEAFREGofaAcQ1qiD53r7UFaUIwyhkXxfWGjrdFapNeDUffvtt93ey1j1nfE4ssUxFBTungsm8qhjqfHVz1Nk6562ApsgCIIgCDVUCMMMm9VNn7mDrdXXMnB+6fbXTz/9lHbv3s2dEwy+8RwVHQRBqBpwHr7zzjtekzPiPYjagncwqOrZs6fHtkNei/fff79O/H/kXrACCW91VqxY4fW7kDQUwqIgCLUHhENagSTbdiBXixPCGroqghUc2cf3iDZAPiFVrl6fnDjppJPcnutkbVhMB75+nh8HhYRRTJcz3N5POvcOFsgaX/4URTTrZCmwCYIgCNUfFaqInOVC9aJKhTBBEGo/EGdQQWXs2LE+l123bp24wnyAUsxWIaYQw2699dZav/3w/+xCbD///HPj/8MBglB6QRDqFnYVFe1Eb1yjkGcRBEfFU6MrnqHGVz5LQRGeLtuw+q48jHn7/jNyvsB9+u6777IoBnCPiR89ZyMmZM1krf+NUhe7Xk/qN5KSzh3Nj4NCIyg0vjSCIf6ky90+t23bNp/bQBAEQRAE74gQJghChQFR4uabb/ZI5GjHHXfcwZX86oKzqSygsIhVUuaaHuqH42TGjBl88yXkvfbaaz5dhagaqcLpvYHjEkmsUV2ytguIglBXQKVGK+bOnWt7jVLEdDmToo7qTpGtulE9kwAFQmJdFcCQ50u5z/AdN910E0cnoC3BPZ6bK99Zruu/pS612G7nUHjjthQcGeu2TFTrnhSsiXKS21AQBEEQyo8IYYIgVBgoVuEvdcXZ5C/YHua8N1bUtFxhyjGIktG4tWjRgu69915j/+NeCVXI8fPSSy/ZfhfCk6Kjoy3FwpC4BhSa5FlVkytuXn8ntWrXmR5++OEA/ztBECoTtBN2VbmQp8t8XUEZe52wBi2Nx3Hd+7M7CwRHxlFYozYUEhXvJoTheqUmH+AAQwiMVfXe22+/3XKd8vdvobRls93EMCWEFWYdocjcwxQUHEKRbY6v8RMegiAIglCdECFMEISAo8QLq846kgI3HPQoJfa91fbz0tH3xOnAJzMzk2rScQLnltkxCLELzkDkgsT9WWedxWIZqr95A98DN4b5+zC4bT7yQ2p28yQKb9qeKCiY6p8zghpcfD9FtutNja96lppc9yo9/8oELrAiCELNu96odsMuDB/tgtlRaq4WqUIfAQSpqHa9KLxJO2oxejol3zDBeK8oJ92vyQeIY3bFOw7/+A7t++wRfhzX8wJKvslVAbcoJ4P2rVjAj6Pb9TKWl9yGgiAIglB+QgPwHYIgCG4On1tuucU2MX5M59ONTn3OlhWU/Z9nJS/kWJEk5p6hg77AAKkmOcLgxrALm8XxozvgnIbXLly40OO1uOMuNB43vfYVt/diOvbh+7CEJhTb41zOMwbnGfL+CIJQs683Zl555RUaPXq04dras2eP2/thJa7RrI1/8HWq4UX3Uf5h92WKC/LLNPkwcOBA6tixIz300EMe7VnO1r8oP3Uvt0MGQUGUtekPDtGM6XQaHf7fB1SYfsAjMb8gCIIgCP4jjjBBEAIq2HgblCC0JKn/bcbz+n1v9UhIjOpaCGGxCi+pi6jQwffee8/nshhc9erVi1588UWqCZjdGIEA2yk2NtY23MkbMZ1dldumT59uvKaHZgqCUHOuN1booYzALdQ6JIxCouvxw9RfpxovhyU25fv8Qzsoe/My2vf5Y27f6c/kwz333EPbt2/nNmXp0qU8weEStorp8E/uuTHDEpMpb/cGQ3hrOOhhdrOa/0N5ci4KgiAIQl1FhDBBEALq8LEblMSfOMgttASEJjShxNOucXsNeaLMiYbr+kDPqRsKYNn77rvPay6t2gz+f0ZGhttrYUkt+L4wM9Xt9fSV37o9D2/Yilre8xWNHz+eBUjc9NDMmiIwCkJdv97YoYcVmp22wWGufGAg/+A22vvJ/cbzgrQDtPu9EbT/8ycod/uacoWjq1xicJ02aNDAaN+zN/7Ov5m6aBoV5WVTCgtjxXTwG1e7E9HkaM4h5s0xbc65iMdSfEYQBEEQPBEhTBCEgDp8rMI2Yrr2pcQzb3R7LfW3T/g+Gi6ckFC3MvPScXc+0AtFTpuQMI/X77//fp9uAFRMRLJ43FcF33zzjdf3kSC6+ahPqN6pQ8r8G8HR9TjBdXFxEZ2V8xsPZPP2b6FD89+glB/epsM/f0R7Pr6b3R4gKDScojr2YQFSd5vUdYFRECobhCgjlBH3dtcbOIj9QZ9UMLc/KjF+cWEBUXER5e78mzJLqjpmrf/N8vvKG8Zv/g/4zSO/TaMd46+g9D9n8mud4/OMx/G9LqMbbSaKrHIu4rEUnxEEQRAET0QIEwShggmiBufdaTzL3ryctr14MR1Z/BkVpB+ikMhYimzZjep6x90qBG/ZsmVuywRHxFDU0SdSWMPW7KaDwNhs2CTOexUUFum2rK/wGbgRLrzwQnrrrbf4/pRTTqHKRs/Pg/8T0byL2/txx57HoUoJp1zlSnLvlOAQSjjtWk48HdGsE78UXZxNzzz+MOVsWU57PhhFGau+JSoqoLQln1Peng20b8bjxsfr9xtJQbFJliIkxLC6dmwKQmWicvShOAZCCXGPwhlWzqp33nnH75xZv//+O9/PmzfP7XWI4KC4IM947dDcV2n/zGdYMLcSwcobxq/+A77LjeLStmfFihV0eZd4DpFEmOZHc36xdHrZ5VyU4jOCIAiC4IkIYYIgBAyrjnh409I8UIe+f5MOzHyGqKiQO/rZm5by69FHn1hrO+5OckzpIXi4x3MsD9FFB5U2G136GCXfOJGa3fqeITCGN2pN8Sdc4vG9drlrRo0a5SGyLV68uNKdYUYVyJBQajLkRWoyZJyRp4tfjo43Hje44B6KPKqHo++N7nAKJ5iuf85wajTIVY2tc7NEHnSee+65lp8pTNtP218exJXaIM42H/EBNb7yGY/lcHyrgbQgCIEFghfaBXP7hMIZVs4whNHDuekPP/30E7ev5vZOCWHhoaXCWnF+DmVv+J1Fc2O5oCAOqUSF2kCE8eM78F2YlLACgvykia9S5r8uV1pMx1MtJ4zsci5K8RlBEARB8ESqRgqCEDCscqUknnUz3xfmZFDGSvcZ+OxNf1DcsedS1NG9iBZMcnsPeZ4gIKFzX1MT5+sVzTB4GjduHN17771eEz7jHgOcm292bTedqNbH2v4WhJ/0lfOoKDvNeA2DK3P1Q/ze66+/bvkd3333HV1wwQVUWUz7+W9qOPBhytrwO4XEJvJrCWfcQJnrfmGhNDjKlbgahNVvRo2veJrSls+hwz+4Hys6MV3OogYX3O3xerfoNP7vZheIDpwgGX//j+JLqkxGtupOIbFJVJhxyG25Q4fcnyvw/RCDa/IxKwhVBYQuvVKsmUWLFnm0Z/gMXFnmEMfiglzb74EDq1u3Uhey8bmSHGHF+fafBS+88AINHjyYAgnaiw4dOnhdJmv9rxTb5Uye9Di88ANjwshXW/P888/zMtI+lQ1cM9atW1fGTwuCYNeey/klVBRbtmxxtJwIYYIgBIwNGza4PQ+JSaTI5p35cfpyz3xQOdtXU1FeDoXGN+SKkvn7NxvvXXTRRTzrjfwpGLjUtAT65nwtKscUBLExY8Z4zQOGAY55cBdarzFvTyvy9v1H4Y3bUkyXMyl92dde1wu/Z8eAAQOoMrfPL9nJFN2+PkW3P8l4PTQuiSJb96SczcsMRxgqtUW1OZ4fxx93AeVuX01ZGxZ7fGdwZJylCAY61iti15svULktb+9GanC+63uwbukr5vgletbUY1YQqhJfOQPN4ds459SEAa4f8cdfzCHWkS26cCGMlO/fsPwenKO33VZavdhcVCPr8AGvIpjefgcSlS/MLi9k9paVbg7Zg7NfcHP92m0/VNGV9sl/cnNz2U336KOPluHTgiD4Au2dnF9CRYH2G+24N0QIEwQhYPTp08fteViDlsbjI4umWzpwcrauZLEB4ZFHNCFMCUgYFEBg6N+/f41y2UB0scrXgiT2V155pfFfMEhxQniyyy2Qu2s97Z06hpre+DqFNzyK0pbOpPzDuymp/20U272fmxAWFRXl8T3efq9HD2ehh4Fg4W+LKTS2vuV7sV3PppytqzgnGjg491XO9xV/4kAKDoukuBMHcoW1Sy+9lL744gvjcxEtjnH7ngOznqOGlzxIefs20yknD3QkhCEEKnPtT+xGq3/WTRTVzlMI++uvv3y6+mriMSsIVUlkpHueQ52GDRu6ucFwzumu2fp9b6FI7fyH0zhjzQLO/2eFuW1GWKRyL+cf3Mrn7vz584338fy9996r0PNZ5QuDIxiTIRgk4loxbdo01wKF+ZR/eA/nCYvpdBrl7d1ET7z8Js399AN+e9Ika6fshAkT6N9///VwHUv75J2IiAjeD1OnTqVOnVy5JgVBCJzTEiKYnF9CRQAX79ChQ7kd94YIYYIgBIzVq1e7PVcOppxtq92S/yqeeeYZeu6zhSyEJfQZyrP5KFuftnQWl41XoOOOvEyBDkcpL95CTezC51QSe7W8Y/tuvcZ8n5+yi+/3fHAHRbU5jnJ2/M3bKvHMmyi8QSuKaNaRxTJglWfN2+9hYInwyMrgcK5nguv8QzspLKk5RR/di10dSiwtykqjI799wqG1zUZ+SJHNOtHkGbOpb+8ebkKY+kz6X/Mp5buJ/Hj35NtpyGWX8PY++eST2ZFnJVCagdBGZ91EkS2PoeDIWM4dpoBb7+GHHzb2oZWrD89fe+01evHFF8u8jQShLuGt+uKBAwe4vVXnnO5+Colv5CaCKeJ7XUpZ/y5iwajg8G6vv91w0CMUEhXHjzP++JLeW/U7F/NA+A6caOaQzIoCLlIIVGi7sT2wDoYQhvbs/RHUfORHXEQElZjR+g+Z9CsN6xbucf1VWIX1OQ2rFIhFsJ49e8qmEIQAotolOb+EqkSS5QuCEBDMM/Qg8ihXTquC9IOWn9m+fTtlb15hPI/t2pcFnZZjZlKLOz+jRlc8QxQSVi33kFWCeydgll8f8NkJZmbCEpP5vuDIPtcLKDbw35/UKDGOivOyKevfX/nl2G79jc8cPOi53b39HhwQVgmpK4L8Bq5tkLPtLyrKy+bHGLRCDIM7AwNTkLkeCaJdwlVh5mHK2b6GH+8JbeoR5hlaso3y9pS+nn9gK/Xq5nLTYdD37rvvOqoyV5C6l/L2b6Gg4BCu1OktYT6EUKvvfPXVV6XCpCA4BEK1N9Q5h4T6I0eONF6PausSqYrycyhn59+Uud7VFsZ0OIUaXnQfNb1hIoXENaCotidSbLd+XMlYJyS+IUW1dgkd6ctn0xvjnuC2AuLXnXfeWWkimAK/fcYZZ/A9cmW6UVhAqb9OdXtp0dY0mvjDv16/09w+SQJ9QRAEoa4jQpggCAHBHHYGMQMhbiBn2yrLzyDU5PnHH/B4PSgklMPioo7qTvVOGmwZjlaV2CW41yt4JSUlWX4WIpg+C2+3nJnIll35Ho45s1MCZPz1Pd9Hd+xDQeFRhuNOrZOqXqngnGJcoTHIMoFpRVfOXLczhe9zdv5Du9+5hQ7Nf4PS/pxl5P4KLvkPEPt0stb9zPdfr9rtEeYZWq8R3xek7Xd7Xd/GcFs4EcL4t1AtjvOEuecmUpXnFNif99xzj8cytan6qUB1poptVa0HziPk4LIDIr5VQv2Ipi5RPf3Pr2nfJ/fTwa/HsStUERwWwY7jhoMepqRz76CGAx9y+3xYg1Z8DxH+u2dvrla5/VTeMB0uJmJiXV59oiD7Lv2ZZ55pfA/un3vuOXGDCYIgCHUax0JYWlqa41tdpbp0MAWhOqByWoHsjX9YLgOh4Pjjj6dberkEjCO/z/BYBi4xiDXouFeXc+vpp5+2THCvix527gYUFNBdVypczyshoRRSIvLk7Fjr9pZaj9xd6yj/0A4KDo/k0EIFxDDdvYYk0WGNWlPT61+jBheOoXp9hnhNSF3ets7OObd5t0vAK8xMZadXxqpvqSgnnV1hbv8v64jb86x/F1NxQT7tzQmmdXvcrzeh8SVC2BF3IUzPlWYVxmhH1r+/lVTr7ElB4dFu7yGXj/7/w8PDLb9j1qxZleayEwSn52LLli2rLGxXX48WLVpwmLFi/373c1cHYYKffPKJx+sRzV1hkXCDKdIWf8bthH4dgbsTIBQ/tH4zfhzetD01HvyE4ba1qnxclai8YXBwKYpzM2nfjMfo4NxXaP+XY/m1rIIg6jdkhO33QLjXJ26Qq9Kpi1kQBEEQ6rQQlpCQQImJiY5udZGyhkkJQk0gPSef5qzeTSmZebYiSOvWrV0PgoIp6dzR1PjKZ/hp9n/LqCjXenChwjOu6J5Eu94bTqm/fMxVJAFC4JCXCeJGZKtuRp6wqgaDR3NFRwUqeKltgwEMRD4r9IplWO6hh9wdCmaQDyYoKJiKCws8hCEdJSJFtettvIYEyrp7DWF9SQNGGe8nnHwlV2kEyMHmKwzIaVuHbTBjxgxb51xabslr2Uc8KmAWavm4zGG1OJaytyznxxty4g0RMSg0goIjXGJVYYZ7+KcuUFo5LOzIP7idxcWg0DAu5uC2HtrxiP/z7LPPWn4H8oSdeOKJHM4lCNXFxaqq2L700ktVuh4A587ll1/O77388su2n33qqaf4fDKjnKAIg1bXlcU/zKGXz46nr2/oTI3CSwUxRWyXM/k+8exhxmuF6Qe85imrKuBQ27p1K19bhgxxTVzkbFnBRT2yN/1BGasX8GsnXHorb0cnYP+bXcyCIAiCUJdwLIThAowZJdwmT55MjRo14k7UzJkz+YbHjRs35vfqGk7CpAShJjNq+kq6fdpK6vv8t3TU0e0tHQUIcwQtRn9Ksd3OYeEG5Kfutf1eVPSAEPTHkiVUcMh1vuz58A7KWPsTHfr2tZL8UETRnU7j+yuuuKJKRWac02jr7IDgobYNXA7Lli2zXA4OoTlz5nC7ioELXFveCApzOZpULi3jdZOTLKvEecf5bkJKa6G4O6CCOCxSp95Jl7MYB+HKjqy8Anpl7koace+jPts6JZZhf1k55yAg7T6U7nqe6Snspf7PtY9xHFglue7fwTXhMnXFfmp53zfU+MpnKbgk0XVxUSHnTLNzuZkdFri/7rrrbMWxzBJxEe45VbBAgYpu+K/mXGUhcUlUD8UftOURzvXWW2/JdUGoEuyckHAGVWZfxW49Pv/8c06A76SQhQ7CwJXTCxMnOJ8xUQFB/7Jzz6LuHVrTgwM9JyRiWAgL4sIbihMbFFTbcEGVN8yqFHxmiXP1i8UbaMaMzx1/p4RuC4IgCHUZx0LY6aefbtw+/vhjeuWVVzhU6aKLLuIbHmNm8YMPXGWc6xJWHTvpYAi1BQxMFv/nctik5IdS3ImXejgKMJCCuICKhcqVoyhI3WP73SibjM/qCdwhfBya+wonK88syQcV3eEUouBQ/k2IzlUlMpvzoNmB9bRzCCnQbkI0wwDQFwh35O/Ndxd4kJdKD5nh6mjph3gfRLbqbimY4T01cNw16SYWjlBx7cKrbvS6Dm8t/I8m/LqbGg95wchBZtXWWTk+dLC+SOIfHB1v6QiD+wEOh23jLuDjwIprzj6WwkNKL19wDMb1vMD1fblZbstC5DK73HSHBe4//PBDmj59uuVvZa1zJd4G9c9xDz1SQqCeqyysYWuu6ganXSO4IrW8PUjwLY5hoSqwK+igqthW5nrYsW/fPsduTUVwRKxRXbZzh3Z8PptzfB1YXpovDG0LXKUQqeNOuMR4ffcHd9D8ae7hztUNTKDoVXIVXHAkN4tygiOp1f3fUL2TrnD0fdUtYf6uXa6KyIIgCIJQbZPlYzbfKuQHry1dupTqGlahNtWtgyEI/qJCINdv3k55BaWiRvyJl7o5XeAoUKXskajdLcQt47CRZ8kKJaLYJYzP3fE3CzshkbEU1fpYY+BmFR5TXUHRgOhOp1NUu5Oo+W1TqMl143n7OXY+BAVTwqlD+WFxfqkbAG3O6NGjDUHns88+4+qKCJUB0UeXhkeq30JS6MZXPWe8jpw4OVtX8uNzb3vS1m2XkVtAE39yDZZDYhIptnt/27bOVw6ujh070sjbbqeQKJcQVqiFeuI/XXJJ6eDUjt07ttGlx7ly/Cjq9b7M9V9LwnAfeeQRvh5B5PJVmU3larMahKM4wZElrsFnVNvj2e1lPoaxDxR62GlYQhOjGp1CHMNCVYDjfNy4cR6vV3ZfxVsoOKIKHnzwQb/EsOBIlxBWlJPJnzc7unAdG37LMNo77UHK+Pt/dHjhB4ZzFk5YkIcQ6P2bK10U9Jdffy0V5d0oLOAckYqE067hogC+UI7s6tDPwIRaly5dqnRdBEEQhLpFmYQwJDdFCXozCI3Ce3UNq1AbWPOruoMhCGVFzwPVo7crLDE2PJhytq7ifEn1+5U6YzB4QAJ4ENGsM98fmP0C7flwNO184xoqTHfP12Q1CDvqqKOsFyguMoS0mE6nGy+/+uqrVTJzv3r1ar8/g23V8KJ7qdGghykkNpEimhxNzYa/bwzgfIEQHggwoEgTwpS4pQQdlZw/a+MSvo/u1Idiu/Wj4Oh6xmcaXf4khTduw48LMlxVGzPW/FDyO2fRLbcOt9yuHy0uFXpA/PEXEZW4ygYOHOjW1pkrOZr5+++/DTdYcXERFWW7QiTB1VdfzXnWfIGQ0wfP60TndW1C5ybnubnAVD66zp07+8x3poP/8Pzzz1u+l/rzh5yzDsQeg+IN7nz99dfG4/BGJbnySog99jyP5cUxLFQF9957L4ezK6GpqvoqVs4fuNXgmESYuNNiFiA40tVeFOVmcOoOc2EKCPNoK3N3rKFDc16mouw0yioJuQ8pCafO2/2vsQ7VeQKzffv2tu9l/rPQ7Tna/tD6zd0mZMxVJadMmVKlDji9n4Fj09+wWEEQBEGodCEMg9CJEydS165d6eabb+Zbt27d+DW8VxeBFR9OOYSM4r46ld+uaOpytUx0urHPa1NVOOzHYcOGGYORoBIhJawwm44s/YofR7U53sgzhcGU6qCHxNY3ytDbYSUYe6vUlfmPKzwyql0vToheVUICBpC+cnmZCQqLpNiu51i+F9t9gKPviNKStKeVbH+AQYO+DZTTImf7anZZwUUHV0Djq54lCgmjRoOfoNC4BsbyKd+/xfdwRxRmp1NofEMKb9mNK2Lq5zNymX0451cjNxcqPKKAQUyJ+w+hOnBfKbZs2eLzP4VEuY4pFsGKSwe9bdu2dZTMfsCAARQfGUZvDjmOuoXtpYw1rmTR/J0lopgebusUu+IGQCWkjjnmbI/3VCW74Kh4Fooh8O1+/zbNRVa63RVOBD+h6kCbPn78eEPkry2MGTOGlixZUmV9FWxX5MszU1YRRHeEgUWL3KvOWgnz2VtXuBVwKUhzVapE+1mdJzC9tRmZfy+kg/Neo13v3GJMhsQf5woXR5Xg5qM+oSbXvGxcQ0FlO+D0vqK5nyEIgiAINUIIO++883iWDTluUlJS+HbhhRdyhxHv1UUws9WrVy+6++67+b6uVI1csGABz6DWxWqZqAKH5OjI0+StKhzyIS1cuLDGCIVjx451G5SEJSbz/e7//qGcLSuNQUN8L1euMLhocP5jNj24JHdUcb6r8qOVmKTnZlKDMBxDVvlrQN6eDZwvDN8ddfQJVTJzj32HEFB/SR7mWV0yZ8davo879lyPGXorlHi1/8uxlLXuF68hTRDqBg8aSOkr5hivhTdoRQmnXs3ipeLIH18aIZRUmG+IjbFd+7I4qc5nfD/27Y79LlHp509eo7Rls932v/pdf6rPhcQkuH7aVAHz/PPP93DYmoHz7YILXAM8gLDa9JJ1AsptZhdu6w1vIlzWxt85D1FY/WQOMXX7P3ENqOGlj1HTGya4/lf6IQ6phIsMRSNiOpWGDCu8ib9C9WjbkQMRt9o0sYXztHfv3txXwT2u2Uey8o3w94qe2FJh9IEiJNq9LdELY4CMjNIKtAaFBUZ4JMhP2c35bzEJUJ3xll8NYfGZaxZwjs20ZS6HaswxfSk4Mo5iOpzC18+Ipu2McFCAtq6yrqPmasPmfgYIrV/3IkoEQRCEGiaEAQxWMPj56quv+IbHdTEsEqiZLXVRxz2e1xThwxveOsV47c0336y21TIrskNvNauN52ZnGIpH4Fjo169fjRAKVdJ7nYjkjnyftxvOiGLa/8VYI4F9cEwCu2hc4sW7FFSS1L0ozz1huUItq+dmAniMsBg78SOzJGF5TEdXmCbamsqcuVfhNXD8NLpiLDW/fQol9BnqljTekyAK1fJJIaFx1obfaf+Mx1wOrHqNKarNcY5Fo36nneQopAmVH+e8eCcVbikd6NXrPditCmLqwg/cnFgYQIHodr0pOKIk1KioiLbsOUj1Tr7SqKy2dcM6ylj1LVevRAhgpJb/SlWfUyGa3lDHVFHmYeO1wYMHG6GMejL7HTt28OD5tttu43uz4wO/V5i2nytMgozVP7BQikF+IMLcX3jhBf4+VKLM3uLKpxbdwf0/xp84kKKPPtEQLZF7jbdricCIvHpm0VMcYdUTq7YdIWS1wfWLiQiEoOnX7Nvuf4JOeGYBnf7i/+ixca9xxdvyTGz5uu42bdqUAkloQmPjnLMqjGEnHum5K/P2bXKrgFxdQfuEKsO+yN2+hnL3buIiK3E9z6cQLadn7LHnusIkUWzlmdfog1VptPOw9fW6Iiurm9OrhDdt73IvC4LgFeQ9TUhw9QsFQagiIQxkZWXR+vXrOW+OfnMKKk2i0xIXF0eNGjXiJMn//uvK1aDAoASD5vj4eB6MpKamOvruN954g/MORUZGskOrIpP4P/DAAx4zW3iOsIOajHkGz9wphqXe/L+rS+4bX+teUUlr9UE6On8jRowwtlF1EwqdVkVEJUiQu3s93+cf2MKPUXkQebvUgP7Ka65j9wtYuGC+3wUkzjnnHBacMIjC+Yp7OISAqh6JMLOg8Gjavn07V2WE6FMZ2xM5qQCSxEcddSwnjIdA1PKuzymsoWd+s3qnXk0NB5YmhN724iW079OH6cDMZ9hVlFmSl0uFTSK3WngTiwFbSKgRVjfxhae4PYQL06oyms6mf/+hnTPGGuF5isz1v9HBWaXJ8vXCBnn7t7gS+3d25WILa9SGWoz6hAU/BcIii3IyKPPv/7n+p+YKU2E2epikHWElecqUOw4gVEtHF0zhAHv99dfdnGD6chhUpS54k/Z9/jhlLp/NompZhVJzRUkIB2rQlrXBdX5Ht3cXwhq06uD2XG2frH8XGWJm8rBJ7suII6xa4qRtr4nYuVoj2vaivMJi2nMkhyb9meJ2vVIVep1OKjm57noLPy4LqnDL7TdcbVsYw4rsLSso78BWyt2zkQoO7zHccTUhtNUJ6X/OMnKFhSWUio8oUoKiNggDXR/bg97/bQuNmLqi3Pm5vB0jVgVUzL+Ha2twWGnYpiAI1lxxxRUVErKPMSv66arfLdQO3nrrLU5fBR0Ft5NOOom+/fZb4/29e/fSNddcQ02aNOHxXM+ePenLL790+w6YnTDpHB0d7UiEzc/P5/4GUmjhO5OTk+naa6+l3bt3l+t7q40QduDAAR6QQMBClZdjjz3W7eaUn3/+mWf5ka8CgztsODhn9AECxDbkg7GrMmQFqqfB9v/444/TihUrqHv37tS/f3/av98V0hVIMIuo8sPUFtCRgcBgnsEzizhW4WzVoVqmOfeE3qEPFHb5h3xVz6soobCicpUh/0pYksvpmVuSUBhkrPmR72OPOZuWL1/Oj3cdzub7+MhQOrX3CWUqIKHEDwjkaDznzp3Lr+cf2MqVvSDUYIYbPPzww9whgIOhIgcwOG4QHgViOp7q8X79fiPdnocmNaeEU66m6PYn8fO8fZuJigrcllEJ6hHqGZ7ckRpf/Rw1ufZlo9iAHpYKwRF5r/KPHKAGDRpwCI+37YhtccMNN/BjhOcVpB0o/d2V82w/p/JsJfUbSTFdz6Ho9p6OqoIU1zmkqihGtupOIfEN+THaAoQhWeX/MROW1NzjmCrPecHi1X8b6dv3X6JNmzayqFoezK5FXD9A9qalVFxYwG640JKQYZAZWs9w2+16bzhl/DWfnxflpBshW9iXSjSt7km56zJ9+niGsVqF3NU0lKvVjKrGC+BqDG9Selzi+oUqjk4mlaxcP1bOeP3zOB98FQ0Ja9DSrUqxmaN6uNrkPse6Jmys/rclhQW0Z/Io2vvxXeyOrQkTVQDXRgxqfJG1YTFPWoTWa2RMZsGRDOqdchW99MEXtHqnq21as+sI/byh9DrhL5j8gEsbxwjuzceIrwIqwNs+FoS6Ql5ens9loqKi2DwSaHDejho1in755RcPwUKouahCUBirYVIf7fTFF1/MhasABCqYkGbPnk1r1qyhQYMGsfN45UpXBIQ6LhG1AXOHE6DdQH959NFH+R6Rg/gNpNTS8fd7q40Qduedd7Iz648//uAT8rvvvuPBDyzo2JBOweeQiwNiGsQqzObB6aEG1uq34LjyJ8wFggA6YBgMonLYpEmTWG2cPHkyVdQA2QrbSnjVGDSEEBYgMPgScdRgsbqV44arydzhx39B0u9A7Xe4Ga1A46I6gXYhGYEeAKPBcpKrzAmtW7tXvIts2c3IoYJqW4qs9b9ScWE+VyB845NZdDgzj/qPd+WvKios4KpgZmeNv3l2zM6MtD++MErDR7Q4xngd+9qfAYwSep26yXSXXGjJzPqud2+l/V+5EudHNu9MLe6cwU41ENPBXSxDGKQZCFRwYQWFhFH9s4ex2AU3ne6+AhHNuxjFBzZv3uzov2EwqpMy/w3DAYFE+t6SLSsanDfaEOXyDmyjzHW/sNvK+E9p+yl761+u/9vlTGM/OHLeBgUbeefyD+0IWKigVchtoFCDaQws1TZUQieqcoYluo6Lwz++QwWmQhF7Pym9RsT1cBVIQC7Nqm4nBXuhwRzeiwk+fyqQVseQf6v8d0ERMSxm647f+F6XuS0zdepUR+kP0Dewcv2gmJI+cYgJEfU7yTe+Tsm3vOsmKqt2tumNr1Or++dQ8k1vUtMb37AWSoKC6WCu6z91bVbP9n/b5Z9EqH91dLT7Yvjw4T6XYedxSWi2InXRdCouKqSwhCbU9Fp3B+7UJdtsv6uoyN4thkGMuYgM9rl+jOBa6ws9jYAg1BXQZ7n99tt5rIuJTky6YQyrnDQQluFw13MdmkMjn3jiCerRoweH8GPcWa9ePbryyispPd2z72kHvh8mEggScIT5464VqjfI84s+J66FKGyG9hqTEzAhqTEOBFCMH9u0acMTGzi+dC3mySefpLvuuouPSyfgGITBCePTDh06sIaDqA58J3Sesn5vtRHCUKIaJyos7uhYYZYQAghyqdgJBE44csQ1O1W/vqvyXFmAuogN3bdvaYl7rCOeBzpU0XamsYaGvqDjgg6MN4u83hhjeSSBN3eaq3pG1c6thQY+EM4hu5l180Bhz549lsvYvV4W4Ir6/PPPfeYqc4o5sbAK78vd4x6yDEEga5NL9Njf5CQaM6VUtNq74gfDOVAeccLszMhc+xM7biAYNbn6ec7X5e8ABuuEjgWEXtysZq9tCQ6l4AiX2FWUdYSyN/5uVOfC6wl9hvDj8GT3MDkjKb0JldMqQls+slU3N0dG4lk3GYIRxHxfWLkQszcvo+2vDqb9nz/h9bMQOtNXltqlo47qwfdHFk+ng7NfoJzNpRdFkPmPK/wvppMrbxtYu7Y01NGOBhffzwJgUX4OFaYdrBHtpS5qK1eFCo9U4mjBkf2cJN9MQcou2veZK1w0uvMZHO6KSaCytpN1uUpvZYDtqjqICsyM+lMMojqG/KtZYR3OaRcUxK7FQ99ONPLfmYUpHbu2FhU2rZg/fz5fj8yhmbFdXdVXQ6LiKKn/7W6fQdh5uBZyjlxXeM0M8hmqK3H9mHDb/z1u3DhyQnVwtDsd2Dgh3eQAzt+/mdKXuxcrKCyZ4Pph3T7akeKZK2zmyp3U6bHv6JUFnqFY2K+oGmyFmnjEfn/55Zd9rGkQhcS5nMWCUNdAnz08PJzD72HcwJh1woQJ7NjBexhzezNdgP/++49mzZrF5x1uiLgyt/fegFjdsWNHFi0wnodxpLzh0kL1A9fvTz/9lPvbCJEEmPiDCIrChxg/4P2cnBwPo0t5gcaDSanqlt8utCwfwgZUtszExEQOlYTKCEUPFriygI0PRRzhB8ccU+r28BdU6MOObtzYffYQz5HPzIrc3Fy+KdLSXB0DhGriVhbHF3Y2OqrePl/d8NXQAlgbVZgQtqdVjjC8bt7+lQmUaDsg9GEQUR43hi+nn9oGuq1UB7ZjzN6UF3QwkSfLCgiSZfmNiIgIDzcSyFj9vceymWt/5GpUyNv149bSKpGpv00zBEGn21qdJ/r5gvVH3DpmuRRHfvuEfxMknXsHHfjqaZ/nG7YTBm6YXdPdCQq4R72tp3KCwP2mZtqLclyizaFvJ1CDDidQVlEIxfU4l7L/+5Oi27qWh2MMAhncVFYg7xncYGbiel5Ah+aNZ7eDSmqcsfYHSkvr57GNnB6bSPTuhJQFb7Fbrf45pY4DCDxWQBAq7n8bD1hRRRGfmzlzpsdyQWGRXCEzZ/taXgYJ+UHmWghppe0HOoKBaC+tjqVAfaeqHlm/3wgWMOFSwSAdFOXaC3k521ZzfjXklms1xpW7Z9Xadfy9ODYx+HZynqD4BgR9nF/oLCP3gwqDLcv/qUnXp8pi3bp1HmIygIhz6aWXVpmTzyr00Ekbq9q/xTuy6Ktd9TkpOSrxgpBY16RjYUYKn5uopBjdrhfFnziIUua/bvl9avJTP4aQikI5VoPCIriSoyoYARApcNpppxn9BeQfVCH3agIgutPplLXuZwoKjTBEMp3Ybudw+4qQP0VIdBzfx4SHUFBxIeXnF1quM/qWuC5j4gjbjYtfWAzyMCBA36UizotAnnNYR6yrVU5PnYJD2+nA1+OowYVj6MAs16D48M8fUvwJlxjL7H5vBL+P3Jdvfb+anrzUvYDLlN+3UW5BEU34cSNFhBDd0qfUNY6BtxvIEVpShAWucPxXnE++BtQRzTpxO1qgTYwIQl0BE20wkiggRul9OlSzhQsUxcnsQLsGFxdSFgH0nX/88UcPt6YdmFSBAAaQjgiiBcS0QIshQtWAkEcIXxC44AZDXx0Rc0oEhTEAldZDQ0N50h3vB3JSCL+LPtRVV13FecpqvBCGkxSCCE5QhDTC6o7HULLLWhEIucLgJvjtt9JKPpUFXGyw55nBrLs3F4a3ZIXomPpbPMAJ+E10LDp16sTiY6CAgDh9+nSfy0ExnjdvnvEZqw4lRJiqdHdkZ2fbdnTB2WefTa+++mq5fgMNyD///GP7PrYBQn7tLlhqG5a3YbNjy5YtZfoN/fxLPNPlRoKQgypUZrI3e4reu94exmFzAAMP5M/zx/IKK60OBp74PP4L3If5B7fTkT++5CTtEFQgRGDAhfbH6nzD96Hz4K0jjvewzKmneub/UqAa2RfLdmh5rUoqxOak091tDtC4FQWUH9+cGl/hEuZA3p5/eYBpR1FmKhXl5RhCStqy2RR//EXssDr8v8kU2bIru9+wTN6Ov3lgAeu8eRuZcTJAsqW4iNL/+o4STrvWcL/l7bF2vhbnZvIxgIFz8k1v0LZxnonsQXyvSynhlKtK/uPXHAYKDi90D1XHrCcmVQKFr+1U1nMN+y135zqKbNGFXSpZJY4/ONxsKS7ibaUP8MfOWklL33aJm+oa6C23GdpbdIb1ZOYQxeBiwXFR1duoJvPDriBaeSiYBrcupPfGWRd7wPb2tz0LJDgGrdIVeFsn1f5ReDS1vPMzosgm1PjKZ2jnxKFUXJDrJoSp8HOcz8j9mPrbVD7WzSDEQW9rEQ69eet2anjJQxQSl2Q4XA98/Txlrf/N6GijjVbX5YgS1yvCq3O3r+Zw94YX3Us7d/5NycNcoZPqO5I79qTM+h0ovGEranDhvexuVTkXIbKDkOICn9c79JmQtxKObFSiNVdHVte/jz/+uMznU2Wec74iJ5BUH30hiOXbX9TSDBQWUMqCSTzZse/zJ9jdnL5iHgth01Ydog7B8yihZD6ssJhoxfbSYcKEHzdQYso6igkrbZNAWKPWlHyDy1GY8uM7lL5sNk+KY5+oZaxAH2l71NHGhBBSAAhCXeO449zF5x9++IHHpZhQhzGjoKCAhQTkXbIbk6J9VSIYwFjcaV5sjOfRjquJTIghEEYgjokQVjuAbrNq1SoWOOHixZgGQmfnzp05jxfSXeG4w7UPExwIaUR6mkD0dzAhgu/DtR/Xo+pGmYSw0aNHG+FdSEgP9RidMczolyWuGPHRsHLCKVPe2VbsRAwM9u0rnY0EeI6KCFYgGSxmNBVoeBAydeaZZ7JCWhYhDB0tdKhgMQwUyLGku2Og+AcqSbg5xNEONMaINQbI+2QlMOB/47ioyhw4GCBgttxOJGrYsGGZc75ghp1FsOAQTpSOMK/DP77LibF1IQzHsxWXXXZZQLYNEuaiAbMCefXK8v+UgAmBKSLZJbQeXmhzThcV0O7Joyj5RlcHGOguADgHhgwZ4tgRhgEChICwsJJedgk43po1a2Yco6kLP+Bk5VGte1Js9wGU+stHfCxie+i/hf2EpI9O7N2okqKOayvwXvYzH9MfOaUOKQzqIP5fd921tDd4Hr2nNQfZm5d7FcEUh+a9Sg0veZCrOSK/FJIaRzRtz+4HFSIJB8SkSW/xTIrdNtKBmFRmIUwlkf7oTt7GquqhHcgVh4Gzyien8mdFtT2R6p18OaX9OYuTXSvij7/YyEemu9T8OVbKcyyVFRxbaNOUEHFkyQyKbPEk7yeVK6zYJIQhr5TuCj388wduQti+hC4U3fFUQyxApWPk+bPbBjj+rXIfomPs7ditrG1UU9l2KItGj3ftg4n/hNKWTVstl8P5HqhjtCxYOdrR17FbJ7R/AwcOpKCoetRi1FTj9eDwKIo77gJK++PLUiEs09VW5e5aRzm71lFks07sTD3ya+nnFEgxobe1CKlAGDVCKnUSz7qZsjYs4esE+koQojAjjDBFCGagIHUPpf05k9cHbsnmI0uvNTnb/qKcDYvp+3kf060PPkMbGraioNAwbm+MdinEdezGx+IcsC5yYAW2jZUQhvMLbjcUJAk0gT7n0IfxlvcU+x59ALQpCJtq27Yt5w3CgDd9xRy+6eH7CJFERclPdibQ3FEn87boy+dFaTudWxhER5I60+BTXc5jHAfYjipPpNrvOVv/4qpkyAmD4wQDbFX4RiehfhJlnFzqis4/vKvc20UQahp6flT0ZVGMDpNccHNB8IZAj/EfUv/YCWHmNgXXKytnsxUYR0JsQ2U/BU9YRETwOewtykaoGUCfUQ4vCK8Ia3/ttdc4Egz7GEYkZd6AwQkiGPqkGOMEQgTbtm0bT3ZXNzdYmXOEwT6pEnJjg+IPYqNC/IGK7BScaBDBcJHEBjIn6i7rzsY6wRKqQGOA5yoe1gxOdlVWVN1Uw+Ltho6IN1AlAQqsr+9xcsP36CIYwPNAfT86qfYJZd3zgEBUxGfs8lBhv6IyRSDWq6w3Fd5qBzqDZf1u9b+j2hxHcd37U+wxZ1HS+Xd5CHHIjWJFILeNndiH/eTvd2G/YiYIhMQm8n1+6l7D4WV10c4/sIVngPk/52QYYRHqOPDn94Hde+bCA+mrXLmsYrv15dxd+C20Q/pn0KFw0hHAcY98ZL7Wr34zV/t06vFd2eGAhI8IVcJ7Jx0VR3kHS5MNIxzF6nfMZG9YTF12zKLD303g5xkrXIOFxDNuoJiOfQxHHn7L1zZyeuw7oeDwbp8imFo3RYNLHuRcL7z+Z95IEckdqeHFDxihrDo5O13VahQYHKP9D9R54WQ7+XPDuulVUJEvDcUOgKp6p8JYFU899ZTbc7hr4JrTnXPYPhxOVMJjjz1muw52kxUQQjD5UNXbqKbexv/0X+lxX4SB/DCqd8rVbgIugNjo7zGKNhWDGHXNLOsNn8fkhhmEenu7TqFdbHaLp+ATf/wlnKvOEMLSS0X79D9d4W4JJ1/Jgrav6zvyykSXtFXm/GO4NurhichZg88rJ1dRXhaHmqf8+K7bZ1GVeP+XY7l9xTa/eVA/Sl3smlSMLSk4AULCXNalyLAQv89nPRTJ+L6QEP4/FXWsBfKcg/MXk2p2YNCs/ity5OLerg+M63bqL67+5Yb9GbQ1JYdmrNhD21OyjUIrKd+5Jrwm/7KRdu/Za3w3zgu9kAFczPVOvdrtOMEkghXLtpTmVEz9dSrfBKEugxzX6Lcirx7ct4j8qcgKjhDA0H/A72E8qW5//fUXC2NOIoWEmgeOMaSEyspy5YU0F9LBtdCpkOpLBEPuYrjNvBmLapwQpl9oYamE+ARHhb92coSCwDkzbdo0tnTu3buXb7BzK/AcJ6VKzorwADxHiJ4e6gZFUwF317vvvstJBhFGCGUdTpey5FKxA0Kgk+/DejmtTudPBT0FkisGItEyZu0wc+gLnBh6olxUnYrt3p/zjjhJWF8ZoDLVvffe63UZb3Z9X6j/ppJkq7LzUUef6CZ62DkQIfoGKmmyqsBlBgn07YRKq2NArxYKVCJ6vVKkAg2nfuwjDOLQdxNp33QIIaWgIxyoClxw8elkb1pKBRkp7CJQjiR0uv0t2Q4gJvpyeaAx/2KuK6Tlp7mu2W39Mx3at6e9k29nUfDQ929RcZ5n0mEMvMwXG2yj+Z99QL//upD3yR2XnOLmqgO5O//hXHBO2xBzkYEKpbiI9nw42kh6zcn9g0MpLMlze+6d/iAdmPUc7Z32IGX8Nd9tuyCMp7qjqqCiPcf5nfG3q1iAoiC1dL/Bdo5Z3ffee89SAN0zpfT/RrU53ngMZ7Xazzh/UZRGJRq3ywfob9VUoZTl2w7TnNUud/t5XV3tNVx7CadeTY2veo6vbwo4XPzZxuVJbG/mm2/cE5wr0P6j3cb1zrxuGFCFJjQxQpzBoflvUEH6IZ7oQHXbUkfYYbfcf2hbAXLhIWeXN+BMD2/qmqg4/L/3aeeb1xvCVvxJl7NzGujXI7jSgHKFZq37hXJ2/uPmlIXDEjm9AFwQGX99T8XFRRzCh/8FLrzkUr6PDPO/K4tthr6CapPR8cf2rEnVXFFNzg6rKrx67iEzGau+NYq/fL58J/3v79LjCbk4M/5eyBWQD2QXU6ezL+PjGccczgtUodTd43DJhtYv3Y52KUJUGG3m+l/pyOJPOdWAINRl4NqBgDBx4kTOuwjDQ3ldOd6Aq/Tw4cPcv0F+bv2G1CSBijoSqg5EvSFCCf1XaCh4jolVTKJ27NiRjzn0IWEQgXsYoijcy5dcUppLEpPx0F5wD6OHEkz1Amv4LhVei2MYEzUYl6Ffi88ojQfakT/fWy2FMAyEcdKgc8Ix/iWlMFF+058qFYgVRbwqYpARz6xusNor0AAgxAQJrQESruI5kq8qsON0YQODeVR4wuw6Em5jo6JKV6ASuKNDB5HNCVDasT7orJanQbHLB+ZPMjtfHXOEvPpTValF554cFpc0YBQPGvSOT1Upv+bKVHYg/r6sA0f138IS3fPhwUWgD06R08kKiLT+/rYuXpmTJtsBkdQselkdA3gP55cedhV/wkC+L0jzzNmE5cxx4xA28vdvqbwKXEWFlFmSwD+2x7l8D8eEvl3L0pDq4oO5MqdyySHk0VyZE4Mn7FeIghkrPUNAIIYgLMVqdg2NP4R6tIOXXHQBHVlc2v5BYISohm2Ods4J/uZpxH5CueyyopxRAEmYQ2JKK8IU5ZcWISk8sp9dZrk71hjOQWwXhHzWFLCfMeGD/ZH1z8/G63BMQAQADz30kJEiANdJXB+VeKbI272ejiz9ih9jIsEsHkN4RSlrTE7gHh0Wbzitmiq4s+CfUvFy5IlJlKvlwwuJrkf1TnS1gwDtLUIJypPYvqzXHG+VhnHMoL9jvqaj4xt33EX8OG//FnYiQuzIKKkkmADXZuO2/LggQ5u4Ki6i3e/eypWBQ+MbUowpcT2OY91ZVL9RE4qo38wQ0QrTD1LGqu9YXINAAneomaASIQz5DxVIzp+7az3tn+lK7gwRWYlSCK2EMzlniysvZWy3fhQcnUD74jvy84hQl9jmLxDg4STGNRKDBJyvNQlvkz1WeVp9VZvMWPMD33+1Yif9uNGVH+7g3FfZtYecchlrXJNBsd36c58BIfghCU0pvOQ4ytq0hI8BdoX1GsTHiToXrAiJdxXdKjgcuEraglCTQVga+qBwyUOMgoiA8UpFgWsGHKNW4Y8QwiBkBDrXtVC5IFfctddeyxMhMA5h7IKIJRWmP2/ePI5ww/UB4e7QLTDG0VNuQE+B9gJ3L8ZWeIybbkCAMQqaDsD4FzoN2n/oMLrGo6ducfK91VIIg5oI2yQUxchIl8Ud4GTSRSxfoANndVNhl+CJJ57wuQw6MFhOByGX6ODA+vfHH39Qr14u10ggQMOkE9P1HGpy3XjunHn7r+gMlNUdZjW7B7zliNBRYofeMcf66OuCTqeqNAiXQos7Z1CzEZO5oo/qAKsZU/yfx7/fSaElHZngsAhK6n+b8V2qo2znQLN7vbzAgukkJ5TZ2eYPOK5C6zfjHCoAdv6ivGxOAKzcHSg///rCLdzRw4x64tm3UMwxZ5dp0GoWrzAYc2JZhTgMARafwz1mv82DMxwTaPT0bYb1jWjuqiaSuXpBmY67QM+uW4VNp/81v8Qh0IO3t3m7worrBCVMok3RxYfBgwfz+aqcOCGxLgFU5f4yuzExiMKMihVK4EA4i5UFWQmGyOnSPjyV8lN28yAxe/MyYxnkeHF6DvhCiTJqP+EiWR52TCgVgWO79uV7DJ52vHIppS2dSekrv/VwugXaNVhZIEwX2w8D/X3TH6J9nz5M+2c8xkmnATqw5nbVKiRJueJQdVXlTML3IqQewquOXb7BShGdazFzVrtCToYcE0NvvvoCpS390u39uOMuNEQbgCIrTq5ZEOWtEtuj3TQL7U7wJWDo13TlIFyyZAmHJ4PMv0tdyCiGAUJj6xvOKnM+Qzi1VJhaPItppSKuOSfZfwcyqTg4hAozDlNB6l7X5wtyuagJiDv2POP4VgSXhEbqeQJRCGXv1DGUveF3bnd1UUq5XDNKrke4lqK/sTXP1S/KLbCuFukE/BdMQtQkJ5iTyR6rPiP+o106BYCqnIWZqXQwo3TGPmfbKss2Kzi2PjsVI1u4qrzn7t1EBYd20pE/vuDncV37ukIsZ8yw7a9AaPVWmVgQajsYRyOVic5dd93F4ZAwncDEAdct+koJCa5JRvRVkdxcgfEvDB86CEXH2NgXOIet8vcB9IPxuxBHhJoLxpA4FqCHQBTD2EgvzNSuXTv68ssvOQUDJlCg7+CY08HkrpUWoxdT0LUZFG+w03j0zzj53mophKGiAEL+UGVNn+WGO8ypa6Emk57ubt9OPO1aFkGSzr2DojudZvs5dAbgDitLmIQafJnBIBazwb6AAmuVaBmJbxUQSlRjGt/7Mg6pgNCF3D8IlYOgqDqnOw9n0+YUl9sDM7iomIYqdzElOUGgNts50FQYnhJoAmm9tdtOViBstizOLAxyUF5ekfn3/yi9ZJZdvY5OOsJrmgx9kVrcNYOrATY4/y6KbN2ThRA0Rk5+28pZ4GR/Q/hFok21z3GPpIjmDileV+EnCgyOUNkPOb+UEONveCdy1wRydt2qw1+YdoBySipXwlWD/a7EAGw3p7NoaoBqdnmisoqe8xBhmPqg8ZRTPHNfQciyyz2DdcNARM81ZRYMsd6rVizjAeHu90dSYbrLqQGnrdOBGs4Bs9img/dwLgfSBYEQ2sM/u7ZfXElCfIjDAE6pZwYeY3le1nQBB8UBkNRbx0rothLoC1J2Uc72NXyuxXRxtZtYBiER/oJOB6iIyYXaHBaJ6xh48Z6b2KGe9e9iKsrNMtyMwQj971baYXQyiQEB3TxZpkCaBiW065N5vkC7YpvfSQPtO/LKKOdaWP1kjwq/EGyzNrkL9laFPTLW/khFuZkc5hzZprSqGdJZ6NfsdVtcYmJBurt7OH35N/x5FJNJ6DPU7T0lLpoLTKj2yfxf8f8RbpxVktQ9NC7JKFIBzutatmrlNR1vjjC7QTD6XF6d1v+U5iLMP7TDuAaZ2yxU8Pxi0T/c79WrC+ft/pf7DcVBwTTosfe8ptwIrdfI7dgpS7EtQRAEQahUIQxVyRo1cl3AdKAkOhUhajLHH1+a08WVcNY1QAYIE9RDBK3wJ0xCOacAOs9WQOAo7+DHHFKo57/CzHHXK+51C7maPM0164cZYMzgHlnkCvniDm9wCAshVqEhmK3Ww/Bwj+cBHbyFhLFLD6KTiyDb/BpOhDjdvYYBLf4LKuSBA7NfZKdL+vLZVFxUSJGtulFYw9YUXjITjw47Oo2KxDNvoqKiYsfhsur3/AVCR1kx8oNpeWN0nJzjCGsJ5D41J8v3SJrftS+7ElSBAm/OQCtH1oQJrmT1dmBADNcjgBMIoYR2VTl95Z5RuaashCi1vyEs6UUK3NocH5jFNjP4fhWKqdYJTrWytN2oTKbIXPsjnwPIFWZ2eyB3AJx3+m9g+9S0nDx2kwq+xD27AasRatS1VGzxRTBCT7UE+wATUGpyARWPzeK24MmiTa50Chi05+/f7HqxuIh2vX0z7X7/Nq7iajiiSrY3jlk74RbtHcQ0COhOMIdX+wIz/FY0GfoStbxnJsUdf5FxfsN1FhqbyIUc4JpFdUYdJD7PP1TaPus5whQ4f5GXCzQa+LBRoREoN3leQRE9/v0O13dogolrRQrpwMxnDQcXXLuK4HCVLL+0jdAjDqzaBIgkS39fTMcluV8PP7rxRBpxujO3bG3DnDvTCfrkpxXKdQci41w55HTSV7kchXCCNb68tCBIrlYA5fD/PuD7qA6n8H5HBWRzMREQUuIIQ9g88DfPsCAI3kFqBvQ/7G4qtZEg1FXKJIRhUKZbKdXgBoNfJ7OWNR2EKRihRdEuqyoGgJgpQxJYNUPmDSdhErqjCoMbO3EDgzLVubELObSryAkLpIdwEBxiiHsHv3G5jw4nHUNtuh5v5JSatMzVcS7MciVTT1s2mzvTcJBFl1SJswsNMQ8i9fUvL08//TTnt2pw3mjupLW6fw41vXGiUdnN30TTZvcawpYgiqj8YDkljikMAlSVvcTTrzNEEx04DcIbtqKGlz3mWAR0Gt4XSJSQgcS4VjhxMgQ6ZxEGRlZ5RhDKUZB+kPP5RLc/2diedsIDzlsU9tDBfoU70BtGUumcDA7585Xc3VfuGbtwHCs3V1lcU0psw8DcSdiMynHmrximnEjKVZL9X6mDUA1y1frr+bJww/apaTl5fGEn7tmFMKHNQLsA505Ec1fpam8knH49tbh9KjUb8YFLENPQ21WE8yLXiL8heHWFx75eS68s2MCPsza6X1chQucf3MZO38KsI+yQVe4jXNOs8nWpa7W35OX+FrvRr+X4fquK3MiPGNGsIwWFhlH9s2+hBhfdZ6zn0OF3G85ZtFk6uFbvfm84J8/na3xhgeU64LoO8P2uVABBPMnTYPCT9Pni9TT7r91UUHLY5e31bO/hlszevJxzRsWXOEX5+8Lck+XrIMWGHZh8ePqm0qqrrZKi6fT2DevEBKw/mPO4KXAs+UprgGNfkVfgeVxkbVjs+ZmUXZSp5UzEd+BagP2OqqVNrxtPjQY/SWFJLYxJVuR4Cynpl6lcpDIoF4TAgsqPejVI8w3vC0JdpkxCGDrZSAgMmz9Kr8KG369fP/rggw84HKu2owaN6BQa4VKZh7lDiQ5nZPPOVP+c4T6rLVmFSajOLwYwThKiO02GbzdzqJLGQzgwxL3YJO7AFBfkc+cme+tf3BFOvvV9um/aEnr57Y84FBRk/1cSYlGYT+kr5rolWrciIsL7NikP+B9vv/s+JZzmHtsc3vAoHkD6K9qYk8jjHiHBmN0E+al7OfRDAVeYyp/B76fsNhwfefs2U9oyV1n66LYnGMllvYmA3irFVSTBJUKYVcVIYE6Ub0egQ94effRRzwFPcRFlliT4TTz9eg7HwPa0O95VSXd/Z9XVPi0sSSptl7OvvLlnfIVO+gM+Y1clzCqRMkQpf52ESLSpk1GSf0hNDpjDOnGP0DHcapoTTAH3nB0Q1a3EPbtw1eL8XK6YBmK72QsAIKxBS6rX+zLDaQrhwxtIcOtvCF5dYF9aDk35vTRsDEKNFbiWq5D3uBMucQs716+tTouX+FO9WL+WQ6iHwxogNyUK09QfMIrDC1X+TkVMp9Mo8qgefKzlxbkGOHkH7Wf8kTxfD4UDcBOiPwcK0w8YRSDqn3UTNRz4ECWecQNXbnxtRS69MscVclmQtp/Sln3Nj9FGIyGvQuWMgitMVeEMjihJlm8RGumryMkxzepRUozLXTSgi3Vl5rqC3QQn+udW7auT/JEAYfnZW1fSoXnuuYuYwnzKKClUo86T3ZORH9Z9gjN18XR2IyqQOiP55reo2a3v8gQlUkeovpEKkV25cqWj9RMEwRmhoaHcF7e74X1BqMuUSQhDbjAoyRDBMCj+/vvvOVQSA9DjjivNJVGbyS4OpVb3f0NNr3uVnyPBKAbJyjaO2dOW93xp60SyCpN45JFHjM4vOtv+dKzhzChLlSpVCQu/pwQfCHkgPwWfLabUX0pzJ2FAMDPflVC/uLCAS14rMGhAXpWIpu1s3Q1WM35WOUGcos+ar/x7AzUZ+oKxbqm/TTOWi+3ezxCfzOi5pZyEQEW0dAlBuVq5d36+a71b1bGcrSsp5Yd3OOnwwbmvuFUDjO/lKvsODh0yhZSUMHbsWKoKjNBIC0cYhBmc/04ItJtNCdDmkD8cd8WF+ZxvBK4w5C+z26ZlJfKoY932ua9QyvLgLXTSX6wEL2+DTTgu9EoxvtCLpZhFBSWW+xPWWRPAcWiVBw7AgWeVOw6fMScfVWSWiOXRHfq4JWY3o9pUCIwYYEL0cOIi8zcEr7Yz4NpRVFwSLr9vxmNuIchm0lfO5QmhyGadjHB3VfhGXVvLGr6uRGL9Gv3fgQy66LWF9MBXa6k42CUy69eghpc8yIJCXPf+lNTvNootycmJ60vWf659XO/kq1iA/+63ZR5VXZ0wfPhwdlYb26AkPBLAGRfZovSY253taosPfvOyIWbgeqoL5Lnb11DegW0cDhmLgjFBwRQSU+Kw1atVluDESbzg7tPpofM60sgza25+wUBg147buep85Y/UCxfs/+xRdlxbcei717lQyIGvx9G+Tx+ydBQiV5juEjODIgr8H0omsryttyAIgiBUuRCWlpZm3FBq8+WXX+bBLqoTvfnmmyzi4L3aDgY6T33r3rksOOxKGAvRCE4gRb2TXOEMQWGRXIFKz5NhBm461aF2UvlQgY4nXC1WoYiqU+nNxYDwTP33VML73N3r+bvz9mxwE3EUmf+4cpcp4CBSs8txx11guZ5wu5hBlbWyuEPMDriJi/ZQRNP2/B5mM48smkY7xl/B6wSHW2Jf62pJdtvaTkwJrdeY7/MPeCajRYJgRc7Ofzj0A2IhL1tUSLsnj+L3ED6qSocnJblX1AIYHFltK29YORCxrvVOHcJOAsvPhEd5hFiFlAhhSEoMzLmu9Fxx3vj6a5dDoCJEIoTW6SF5R353VdlD+M2kSZP8DlHyhQrnUB17JMOuyKTkgapktmGDK/zL6WAT/wlVipyA48IjTxoceiXbCLmXanoyfDtUHjgrIKCbw4+wXadMmWK5PAR0JKWGUBDT0V5kDm/Uhu/T/viKMkomXBLOuL7cIXh1CeyXLYdc4XiYtMrZUppE3oqizFTjmhZ/wsUeE0j+Fmjx5UZ+a+F/tHpPJsV07euRYiGsQSt2NytiupRWVcrdvYHzfrFo16ILLfp3DwVHutxXRTneHVZmsD66wFKcm8nChzfQV9C3jbkNSV/hOh/iep7PYeZBIaEs6KLSpBkrIdlM/ZhwuuW0tlQvyt2RWtfwN5Te7Dguc0hpcREXCsla/yu3X3aoiVI459HGcb66kjBIRV5Jfj4U2xowYEDZ1kcQBEEQKloIQ+nWxMRE25t6v7Z3pBf/8SdFturu9roa/CHUZe+UeyhnhytxaPyJA6nxkBe4U1u/761sDTd/trxAyElJ8az6pIdwwW1mh0tAC6L4Xpfx+kaVJJmHuHfBBRdwpyn11ym0/ZXL3EIZMtcvshWC4MwJiXNPfKrKopqBiOUvntUUi2ldaunhrJL3owOGxK3IVwSnW3RHVxl2M1bhiVYClVvJ73TPsJbM9b9Q7p4NPDDI3rjE4/38A1soe8sKTqAfXxJuExUVVeYQBkVs9wHsQETIjA4GygmnXEXJN7xuhPEqgsIiqOVdn3POoUZIeqsSQmuhkegoQ+jW3UlO1+3ii0sHjoEEnXk4CPVOvHKFIV+OCl0NFCi6gJxw6MTnH3DlT8FxHMgcaBVFnz7Wx7vdYNMfdwvOP5T3NnNw7qucewg3lAGvqSGQvvB2rTMLAb62a8ZqlysCRT7sCG/U2ggNQ/tWlJfDTqWoo3v5XFcn4oIv7PJP1iSQiiAiuYPmePZN2p+zSq9pJW2/mkDCtrDLX+gUXbTYkVJ6PsV0Pp2Szr+bks4bzSJY8k1v8OsQEtL/chUFUc8LUnbyhEDG365qvriWKze67uxFqD32oV0xBeWONgssCHnGpJJOSkkxAe77lIRB24F8a1yBsn4zanTZ4/xaIa6fWugcQGVIuyIkQmBC6XXHcXmK6jgBVSZ3T76d9nx8D992vz2Mdr11gyGsZqz9iXJ3rOXHSK0iCIIgCNVWCMOFE2FHuP3444+c7wmz3Oo19X5tRA0CcLFGaAJm75E4e/d7I9ginr2ptENRlJNO+6bdT7m7/+XnEGAQxgIggDS+8hmKLnkeKOxcTQiNQlgMwmO8EdW+NyWecT1XNVSkr5jHeZkgEqFiFUIfdr9zK+2d9iAd+Pp5yrHIrQLnkyqvHdfjXEfrXpYwNvPAMrrDyRQSHc+Jp7e/PIhdbAqEX/SIdIlWCacO8ai4ZrUO2N92QocSwixDagoLaO/Hd9PeKWOouCDX8vNpS7/i+9hu/Sg4Mo6LL8Bhog8wvZVFN4O8K3HHX8iPETKjHH0gopkrzBU53ppc/xoFR9fjW8KZN7Ioq4D4qRwPemjkaaedxgMT3Z1kV8FRp23bthWam8hcFbIoK5Uy1//Gj5POv4tCkwInvtQrCWNFLhOc26CmOJ2w7zC4dDrYdBo6gwGzbWXCogLOPVSccYhGjx5NtRElxNthdjb4Op8z//7JVXW2eWfbqsNKhPlz4bd04TmnU3pJTqaE06+1bNP0faW7OLHuCxcutM1P5W/+yZoCroMbNm7iancqZM8JnPh76yrXNe04VzsLcP3BNQLbAuID9oFqO51iduTsOZzp5rBC6CMqiioRDBz5fQYd+e2T0vVL2WU8TvvjSxbso9v1Mtp+3RGG8Fy05Qh99FZZ1KryLISstOVzDLdn+rLZtHfqGBa8ff0v9B1UCJwSdAtKKgVi2ccff5yWLl3KlSGFig+lV45jXAdQ5KoiQZ8QQm1xXhZX2FbC6rZxF9Chua8Yy2HdBUEQBKHaCmGnn366ccNFFJ2k3r17u72OW21DHwSgamBESQ6t7I1/sN0bFnHF0KFDjYHkoW9doRM6qEIF6p8zgkUQOJS4c+1lIOMEhOOYUaXef/3VlYzZG9Ht3HN0Ycb55F7Hc8Jl7OPx48cbolLujjWUxaKDtfimXGGxPQa4lVy3Y8GC0nLdTjGHo2C2nn97xVyPClno6E159CaKCg2isKTm7Hrz5v5S+9tyoID8JiVON93i70Q8UORsXUW5ezexmArRBrz00kucFFkNMH0lDFYgWXKL26dQeINSV13iGTdyKC5yoiGptiI0tj4l9b+d6vUeTPVOHMQVPnVUCCVyvPH/Sz/Ix47ZAYJONPLPWdGtWzcWiyvaLWUlxilhANui2c2TOJdbwmnXcWW18qByyx35dWq5E9hXlStMnSu4t3OJAfynBx54wPI9PUQWudqwLEKurcJrsAwG0jVlG/mLN4cXtgmctDq+zmcUW1EVN5GMPKyhZxJsFbJckJlKs2fPZkEd4cs43nXx24zuXlRtG5KhoxCIExeGp/vWWf7J6sY333zDeQSDQsM5l2Xeft9FMhTpJa4wTDToedw+/vhj3o4qf1eLO6a55X/0hXnfbN3ncnanfG9d7TVt+TcsMsP9heI8yEmph+PDxZ21weVuDo6I9hDC9IqXubm5XtdHCSyPPeaqcgwO//QuHfpuIh36ziV+ISwOAoeZ22+/3SOXI1yMqv/D65p2wGhLnnjiCXGCVVEoff/+/atF1c1A5/UUBEEQBF+UT32pA3hUhAoOpbhu/flh7q5/PAaKqMK4bds2np0bOWQgz3rBIQUKs9Np55vXUUHqXgqJiqPGVz9HDS++n0MmMfgpD1OnugbpOmqd27d35c1SwImEcM3Ilt3cKpKBzL8XUvrKbyllwSQW9cpSDStr4xKuIhUSXY/dNL6qZ0JcLMugSncEKbdE3t6Nlh095BLp18QV1omBij6Y0UuN+6oABjcYnAF6fhN8HkmP/UG5wqKPPtEIh8L/waBKVfFURHc8lfdXy/tmU2x317GHbYobBEAM7BS83WMSOFeWCpmCM/HgnJdd39X+JP4+nV3vDucy98FhkdTwkoc4hBLOOrymXA9m7GadITpWVZW6vL2bKGtjqTOzyVXPUb2TBlNS/9soupMzgb7eyVdSvVOvNo5ZVFBFiBGKLyDvHPY1HJLlSWBfmajjWa986kvEsAsJhjvU7DpQBQyUSIbtM2bMmHIn+a/ueHPO3XjjjZbL+xpsqgqzcPMk3ziRw50VELbh6lQhyzgvzznjVCM3Hpy8wdHuuf7MEyII60f7ouehRC49X20vBCRv+SdrCnDFKbcd5/Q0heV5A0UgOI9bRAw7tBQsJIZFUssxs7htBbiWq4IqTlDXv5H3Pc7fD/IP72GnOYSmlB/eZsETrrTDP5TmjUTusr0f3+XmRgfpf850e64LYSpXHH4Pky9mzE5XnN/I3VT6ZYWU8dd8ribpjUGDBnlcE7Eeez4sdYg+ef15tb6dqAmY3dVVhd11RxAEQRAqChHCvLA9Jcs08x9ETW+YQCGxiYbgY+WAULNzQ4YM4ff2TX+Q9k5/kO8ROpdSUo5cT3wLl5KVC8BtZ0UnuMLpImKMQZgvJxIS+hp5fIJDqdnw9zlfGUJwGg56mELgGAoKZqcUSF00jVK+f4NLZGP2uEzVsIqLOKwSJPQZSs1v/5gHct54/XXvyXjNmPNUQXQD+oyzOf/XSQ0LeDADZ0X8iYOM9xH+p2ZSrZweKHCAKqAQRCLbuKqicthryUAKeTauuuoqv9Y/a92vRpWvBueNppb3fk1RR5/IHVIUTTjxxBP5vcg2x1PDix/g/YWE/0kDRlHssedRs1vfo+Z3fOLmboMb7vBCV2hJfK9BFHmUq7pn9obFnKNFhbWEljjasC2OLP2KwxZSfnyXXwtv6HKWwXGAQY8aRJuxc7jYVSkMNHZ5yuDCzFz3i8frCPv15U5EbjEcrwmnXE0NLhzD57uRZweDSa7WV1xp/zEQWB3PvkQMO8fY+eefb+k6wEBWif+oCosk8rXVCabA/zv2WFclUTNWQiOWR1EQb6BCW0F6qSsiacDt1Or+OVS//21G+wa3K/JQKictkpAjZBcTK4lnWQsK2P9XXHEFh2CbB7y+jgU426wKT9SU0GAdVC9V1zmn+cFKKaa0ZbP5Eed2DC51O9U/exgnf9dpcMEYDll3wsSJE9nRXa8kLQFyTMJlBac5Qg/h+No5cShX8bNzYeuYk5ejnTfnirNykANUBDafu94K7ViBawZykyLc3wzygu186wa6u+0huu2ys2t9O1ETcBoOX9Gg8rkgCIIgVCblvvpVB0t1RfH8dxuMZPMQixL73kLhyjm17hcqKhFdbrvtNsuZTT0/D/KRqCqD2RuWGLkSdBJOu8Z2XSBYtRg1lUWsRlc+Q1OnfcoDT18CEhL6Kss5QjdUxUMAQa35yI8ooc817AbCrDPcavx3g4J4EFTWDhLKzuu/g3A8b2CQiIGKU8w5d+DcUSFGduzYvo0O//wxP44/YSCFxLlcZHr4n3JuYDtFcC6ZIGpw0X1U/5zh1Pjq540wudydf7vl3/E3uT0GNAdnv2gMfOEya3TpY+zG4nwzFESNLnuCGg9+wuOTSf1GshiLfab4+Kr2NOLE+iywIeQH2xziGcguKdxw5PdPOcG2Lhql/m8yP8axmbm+NIQWjjBvFT39rVYVaOzylMEtc3D2C7TrnVs8nHy+ctbpRSzg7sC5BncYf29J+I9KJl1TKMt+8jevWCCrXNakfFPLl3vmSPQmLkEYGDjQMyzboKiQ9n/2CLs3dTEXx21MlzPdKrny4hA4C/Pp0PdvcF6o2C5nUmw3l1spKDyaSBNn7IQPgMrPdsLn3Lml7bgO3MKVva/RRqNaLG5OHMTm5P4IPQwrcYTlH3ImhJ199tnG48y1P7ILGOGVMZ1dFRsjmnfhySkF8mfiuxGSjiIlfL11kPZg38HD7A4GKO7iAU+6OHftHPjaJbpyxcuSCRukrfCViN4qFN5fILaiirUdhWkHKGWXq1KgUPWofHDl7cuX9/M1aYJJEARBqB34pXLA7q7fcnJyaPjw4R6v1xZ+35xCX690zabCiROvJcpF6KACA027QQGSv7755pumV4spVUt2u/v9kRxqh45weNP27FwJMeVvghijiGhyNK3MbejIzo7BUoMGDdhRgJAbgM488osoED4GOISzpNMMNxs6zeggORXD9ITMxXnZtOvdW418XXEnXOJRRdIMBpZ33HGHoypluiOJw9fCI3kbmgVGFfaI77j//vspe+PvXNETyysHBbYRkgcD7MdW7TpRk2tfoSZXP0+t7v+Gt7dy8CFHDH+mZECqcqrYzapOmzaNmjRpYvl/Meu/Z/Jtbvui2YgPqDg4lMIataaotqXCIByFKAKghEqdmN3L6LTu7UoGbe7HFsgrSbxclJlKactcuW5AYWaq23JHfptWum752fTCCy9wmFugqlUFEvyOtyS/CH3a89GdruqF303k1yDG6mGkZqLauLZ33kFXZUiICjEdSqrt+aiKVl0p635Cu4Xk1a+++qoksbbAW95Fb2LplVde6XW7w70D9+aheeMprSTnHYBTERRlpXkMOvN2/0upv0xxLXfatexsbD7yQ2o+/AMj5N0bCOc3t7EQ+ubNc7l6rUBurMrMEQYRq0WLFuxsw03Pp+gkuT9EPRz3hiPMoRB2ySWXGG0grmVpJWGH9XpfxgJXeEk+RQCnE/JnqmqKcI7BgY1riS+3908ZTQyhU02ylIes9b/S7g9GuSWy19MntG5tvT5WofD+TvLgmuhLFLG7JgpVAyZx4eZ1C4P1E/QXcCsLNdFhKgiCINQxIaxevXpuN8wKJycne7xem/j03wJ210SViEgAA2slhIA33njD66AAISnmjmHm2p/owKznuOpk/sHtXDUMIAyu1ZiZ1HzEZE5e3njIOA6PiWzu6qAgyTqv118pdM5Fgy3DVnQgzmCmTYlQcA7sfONanik+ZErIW6iF5aDqn+ogIdTJF0ioryfiVaWzId5AYAsOi6CE091dJnZhIpjxR/4Sb1XKdEdYaP1k1++l7vMQLJC8HYN+OCKUcJiy4C3eDjEdT6WwkvBUDJLwm0iQfyC8iRGKZIeedwWuQatZVTxOT093cxVYfQ/2xZ4prsEWQmwwgFIDNnBw3nh2FGIghmMP+arAvk8fZrFx3OWucE0lxmVvXEJ5Je5DPSxGVRWDWAgnGpLh6+uLZdOWfEFBVEzPD3NVsgx0tapA423AhZxhSCyNamX4z3DRqXxsClR5azjoEWp46WNcDRYcXvC2IYYp8ksESD2ZdE2hrPsJQjiqxfpykdRFvBUcgJPWTmi0Ki5gdQzjXD/847u047Ur3doa9dhcsTJt6UyuHghHKaoSI1E6jvcGF97r05FkJX4gL5g3cB4g51hlgGvrzTff7PH7drnurJL7K1EvrH4zvkc4uBMgoHXs2NHYR+lIVJ+TQWFJLdg1GhJbn19HiDmcTiBnywrK2rTU+A5MpDS55iXjWmMGkzJrU11h21lwAvqRu8wb+fu38ISUFXah7Vah8E6qBJu/A5NPdgVVgLmYhFA9+Ocf97y3ZuwmxgAc/U5SRKA/iX6WOqdqWvEZQRAEofbgntjCB04qTNUm8g/vpuAmR1OLOz/j58UF+bRj4hCPKklqIGF3Icfr99xzj0dy2qx/XYlrwZFFn3ISXoRdKBBaYebAl2M5wT4qVyb0GUKHvp3g9T8kJCTQDTfcYCROz9uDAY9LEMpYOZdyt6+m5Jtdglje/s1uAwDF55+7EjJ746677uKZeisO/+99anrdeFfoTpczac+Ue9jFYIf5e1SVMiS9V9tY78iHJSaXJkA2gaqXGBjpFYkQBoiqlzGdTqN6J19BB0vCSJTwo8LhMBhVDqK9U+/l6oMoZw/yDm73sPRj/cyDtREjRngM4qyAawshUQ0uuIedSxmrv3f9z7U/UWZJ2XmABPZwEAaHR1Hevv/cKtQpMQ7bav+Mx/m/ofiB2zrlZdPuybe7nhQW0D1jxrDrB+Fc6JC+eM2pNPS6cyki1L3ilx0qJ15VJ4H3SlEhHfnjSw4pTeo3gqLb9+btgwFn3LHnUXS73m6LF2alclJqCArgwMxnjUpsNXXmuqr2U20F4uCZZ57J4qIZs0ilo4oL4BxV5xwcWffdV+r41YHwhYT4iWe6iqmYK+KWLlhAh/83mRpd+qiRcB2EN2rN7RbaejusxA/d3WsH2rawsLAKF8CVW9cuBNV8XNtV9AyOrsdCIYBo6AsM1vHdcFRPmjSJ9xnaz/TlszmPIFINGOuCnIoah394myJbHMOCZFFeNrfXyTe+TufHbae3Hr3Nrd2KaNGV8ouKKai4iA7//JGDLeIST6+99lp25jlNdI5cmYMHD3abNDFvJ6tQeDx/6KGH6Nlnn3X0O+o7HnnkkZIwf3fqQg7B2po0//LLL+cQW0zumsGEoC/3II5buGKx/xFNgvMXbU91Px4gpK9bt66qV0MQahWqeIucX0JF4C1FQ5mFsLrG4Z/e4/A4Rc72vyxLhTsZHI8ePdqySpMCjhUkO4/rWSpAmUld/CkVZx2mlP9NpqbXvEQxXftyOXXM/CpijjmLZ57Tl33NLrDQU66i2E1/UkRyB9fvmKo9wQW0d+p9FJ7cgV1qoGfPnoYLBILDkiWlRQHMoDP91ltvGU4Hq44UO3PW/EixXV3OKAwgdr9zi/2gzsGgZ9myZW75n/i/HfEMG8T6qGT5OkcWf8ZCWHSHUzh8CK680u9ziZGpi6azU49DCIsKefCEsKPCI/spb/cGY3mVR053nSkw0MB2sds2OhCtkJQf+4oTMvMAq1TAg6CGQTbErtTUVLruuvEeM+sYlEKQw7aCWHjhheawXJcYpvYdjkvcakqH1Ndg1w6IiRDCQNRRx1Ljq57jfatCznQQNoXjAY47CBEQHBWohFZTtpFQsagqmr7yF5rRz1Gcc77cVwiRjO0xgMISm1L2lhX8GsQ0JDb/7bffjOVQPTBnx1oWYACcuHA5YsIk65+FVJRrnYMH7dL8+fPdBC0MdH25jYF5giLQIETTSkzx5mxSeR7N7a3KswZXdXF+aa5EO/r27Ws8xmTSd999RzNnzqT0Zd+wEKZjFsJwPd/zwSgaPOQ6eujOEXTB+65wx7npLSmyzQmU/V+pYyzyKFfRhbRV820dXGZQoAXXaIiEuL7h2jN+/Hivn9Eng/RJE1xbcS1A22bn+EEBF7S5TibF9PBf835QQohQ/bA7b3TgKIYwbAUmBH19h3JUq4mZ6n4tzc3N5f492npBEAIPrj1yfgkVBdpvtOPeECHMC7k71nKOjaT+t7me7ykVP/ST2ImtG+8jf4LdzD8cVeMnvsnVrHK2rmKRCPlFipEM+duJnIskc+U87qw+8MADlAlHU8dTKfmGibTr3eEc6hFavxk1OP9u/r56WlVElftIhW2okEG4pfh/7fqHbwrM+CnGjh1r+5+Q/woVKTEzDWeAletNgZA+iAtwNqBqIZLVH/nd5bRzCnKtISG3yvel4MTQ7J7IdFyaO//gNsr8dxHngKp30hV08JvS8M/wRm34vuDIfrdwUYTD7nnfc3CoHGFff12a08cMHAUYWGLQYU8xV2+EyKlAPjfFxRdfzIMfX6FqqoPpK4cPRDV13Fb3DqkZO0eDHTifkIvNVQ2SKLJFF74p0v6cRdlbV1LO1r+M0CS478z4U9BBqN1YHYNOHYP6INAcUu5BUQHt+eB2dnopwQW/2aiRex5JgHBKFFOB63XfjEep6XWvcSXY+JOvMApjmFFhhrqghXtcB37++Wevq2bnygoECIf35abFhAgmIrAv9HWwGohHNHGF+CF03Bfm/Yi2dNYsV37Fopx0Sv9rvpEvEgVacnd6ukUghg0843g6pt1R9Mj5RfT0XNcy9fuPpN3vrTFEL7j2gNPcYHDSqGsA/jNcXghF9CWEma+BZkHW1z5EygIIk5jFR9/BLkJAOc+sHEa6ECJUL5Rb1dc5563dU98xbNgwy3OwpjmqIyIiuI1Dfr1OnTpV9eoIQq0CTjCIYHJ+CRUBXLxI4YV23BsihPkAOYYwIEbi7PSV7smDcUGHI8Bppw6hdxhYmCtxoXOA3AroyKJUumL3B3dQcFg4l0OHewXJq9EBrl+/Po24/wkWwgCEun3THzQ6+nbA3YJ8SUp4wyy3Fe3btzc6/5g1tgIH12WXXeaWUBnOIlSptBQnigoobemX7EhreNF9FN9rEG9PDCqcgtlodMThAtA7WcERUa6fsJhNV8ny1WP9cwhHhRAW3akPhS3+lN1xcIeFN27DYbAIG3UCBmLYVhAGrYiLi+Ntfd555/EgYP/+/bZhpAiRRO44FXaTd2CLY6eJGV9hCnr4a01DORr0XEC+GDP4dOrcOYs+3deIVuwqdZIg7BHuT1/UtE68ULGYXTVlzXUD95XVhMOoUaPYxYN2pTg/lwrzS2e10JahTfnqq6/cPgP34s4JV0NxYGEdYemNL3+K4nteSBkr5lpWK7YStBC+5ksEUxiVlQMI2lMMpn3x5JNP8j0G5tgXEHfs2r3IVt34HpNNVmD/mfdjfn4+v4dto187IDhikiR7y3KXY7Qkb6PdteemU1tT03pRdNeMVURxDdhRhn0DQhNclZzzU30IolrIpr8Tbfq6mD/nz/GK/gfCZu++2zXh5s15Vh6hWKgacP6gv2LVP1HHkK92TwmsEER/+uknFsbK0z5WByCCIVJCEITAocKN5fwSakyy/LoKck+l/vwRV93TQefY52y+qXP/7bfferwOl5dZ3AH5+zezCKaSM6tZYHQykIh+7ycuVxTCX6Lbn0whca4Z39w9Gzm8qzA7nXa9cwvlbHMJOkeWfG4kk1+4cKFthR8VbudNSDnllJJqehqqg+SNrHW/Ut6+zexuaDF6uqu8vB9ARDSX2Q6OcAlERRZhq/iPqrOPDpmqngfyD2xhV1hQUDDVK8nHBledypeGmX4nYH3sthU6j0i2DLAOcLRZJcw2547b9fYw2v/Fk5wk3y6Pjy98JTmuaUnfzaDD7S1sVwf7HTPdl18+mD4b2Yc+vaU0L9iRX6c4+nxN7cQLFUcgCkagXb/uOvdCIphkmDBhAoc/2tGjRw/q16+f5xvsaCw2HMAIpwwKDeNiJZGte1KzkR9xFeKgsAjLSpdmx60vzO1xZeUr0oHYAlEc667Cs3TijrvIyA+W/d+fbu+hbUUFWm/7EdtG/06EVh5ZNM2V69JCBMN34nqj2gt89vxuTenZc1u51uf4i1zJ80NCjUI2BYd99yW85dfCRJuVSKZfBytj3yjnWVVXFhbKBvonVhWw9WPIV7unnIpIm1HVBXUEQRAEwQ4RwsqJt9BBp3mNEG6lZk/t0EOyVC4qhFKkLnK5kBLPvJFCE1wlyXO2raLd7w2nnROuYhFv32eP0PZXB3PFQEWHDh2446xXhERnHQMC1dnxJqSYwywU6Oh89pm3kMdiSv3lY+NZw4EPEwU7S8wOYHHcsME9RDW8savCparapcCMpZ7zRHXeUAlPd4WBaFSQbNCSwhJcSaILHM7OK4HKbv8hwbA5pwa2ry+3A35fH7DpYYxOwfLeqjxZiZk1DYgIdhXI7KpShYUEU+82STTt5l70zjXH0ZvPP2YM1uzOwenTp0snXrBECdzlGeB/+OGH7PhF4Qrcq1xMdu2sCjFD+KC36wY4/L8PXFVyO53GofOhcUn8uP45wwMiQlWEw8ffSoUA19bXXnuN98OIsW9Q0rmjKabLWRTbvT/V73uLkTcN7joFnNHbtm3jc9vbfsRrSALvBIQQqu/0WMddazmtQVBwCBe9Sb7pLZ6IKcrLcatEbYev0GzkDMM1XR0TuIeA4e064C9WQqOd86w6VBYW/MMsYNodQ07bvUC0j4IgCIJQEYgQVk5QQt5XLiaFlVii51ZA58Oug2lXlhriVkH6QRbB4nqcy69xcned4iKPJLzXXHMN36Nzs2PHDu6obt++3a2jqsIt7Mqj+zujqMjevIzOPiqSHyMMMe44zwpEdiQmJhqhm66VCaGQ+AaGE07HqtON/6QP8nRXWPJNb7KgyK+neibet+LBBx80HGdWnUfkTbNzc/hD9+7dqSygypMdTirD1QQee+wxy9dnz57tdQB28tENqF+XJm6DNTjMrM5Rb8e7IARK1IVIr+cARFtqhfm64U3I5TZuzY+uz8UkGK+jSnF0p9PchLWyhGD744p2Cv6XncDtDQiJazdu5aT0SGfQ4IK7KWnAKOP9LFN+MIT4+ZPaAOGqTvD2nQirLMrNorCkFlwAARRlma7ZFjgNK8Q1HUIc2jPcq2rIgQL/za4yKiafrKpOihBSs9CviRVxDAmCIAhCdUCEsHKiDyB84StUAJ0PiFEIfdRB2Izd4Aiz26kLP3Rb3kMIM2EW27x1VFW4hfqMysXiraOv/qc3MeyajiE0vGccP0a+lJDY+uQEOCT0nDQRTduXzqhnHXEUsgM3nI5yhek4CVMxVxbzp/No5/QI1PJOysfW9NBIb6FleI6BtNMBmDoH8F0SziNUF3BcwqWrt9nmAi3mdgfLm0n9darb84zVC/ge+RpVWLjKdfjrr7/6tY7mnJeBAE43TDL5C3IRvbPQs6gNSP1lCqUvm+2WdN5flwrCVRHyVVZw7S7KTKHU3z7xun8U6hrqb1hhRYtPZ511ll+vCzUPETAFQRCE2o4kyy8n/uZu8lWpCc9Rpl1VZ0L4mq8qgZn/LKTYHucaVfCKfOS28qdyEwYkCO9TLiqnicnxP1GZ8sQTT7R8HznRjirOotzdOygiuSMlnnEjHZxjXXHSW+J7VNNU4aAqL46v2XMkp0YFR90xkb7yW4o71uWow2w9KneWJVG00+TDKk+YkxAku0THTlCJi82UJedYdQahZbfddpvjc8Yb/lZTE4SKRE8+DVTCart2x6rtLcw4ROmrvmXXMNo3VEOOaNaRXUkJpw6hgtR9NHnyZBaBnbbxiv/++894DCENoZXmKo7+gO+wcxyZCQoN54qwert/uBjFU/I5bUBRVpoRApq1aalxjUCbapdPy0noI3If6dcQp201tglcxM8+9zxFtupOUa2P5UI3KheouY2GQxUTOtWtHbK6fvlyiguCIAiCIFQnRAgrJ/6EVvgjlmAgbzeYt0rMnvL9m5R80xv82K4ymL8hFqpyl1msQfgDBmaNG3tPdI/1R2geBg5mIDIkJydTyvdvUZPrXqWYLmdQ1sbfOVG8HQ899BBvNz0UNayBK/lw3v4tllW/vLks9DLhKd+/QWnLvuYiBLqg5gs4Mcoiuqjk/arykjfgbCrrIMjOSVaWnGPVHW/njL/4W01NECoSlXzaKTgPPNq4H97myrgs8hcV0L7pD1Gz2z5iR23i2cPo3ckjPUSw4Oh6VK/3YIo55izK37+FUhd/ahTw0PPnPffcczR//nyjiqtexdFf7HJpmok7/mJKPOMGytm+micyUHH35qGX06rdcEQHU+7uDZSzeRkXBYDjGBMegUrabperS12jfLbJxUV04MunPIQ8HezvQLVngcZ8/cL+hjgobaYgCIIgCDUFCY0sz8YLDqbRo0dTZWOVSDj/4Dba89FdtP+Lp3wKYahS6aTDapc0GR1fp2F1dkl64drBrDJKz2esdFXSbHjJgxSa0JSCI2Mpql1vHiToYLAFhxoSIqv1Ci8RwvIPbucBmdOkvObwU1CQstMvEay8qJCmV155xety5513Xpl/w6pCZXncEIIg1AzQvrz55pulLxQWcGgg2kp+mnmYtr94CeXu3UQhUXGUeLanC6vhxQ9Q/AmXUEhUPDuYmlz1HIti5usB3GpKBAO4h0hizp+J52ijveXVdJKjLCSuISWedRMFhYRSVOue1GjQw5R8yzv0wdc/0e60XLeCJ8ijibxcrVu3DljSdruQcye5HFEBWmEngoGhQ4dSdUZdvxYsWMCi5w033FDVqyQIgiAIglAzhDAIG5jxjIuLo0aNGtEll1xC//77r9syOTk5HPKEWVR0kC+99FLat8+70HP99dfzYF+/DRgwIKDrjlllX7myKpu8vRsp+z+Ef5Sv8pSv6lBOHWXe8jfhdWy7gQMHchXJopwMfq/hwIcoedjb1GjQI9TkuvGUdO4dxsALgysMtl5++WXju0LrN+P7wsO7OCzDaV4UK1ddWTjqqKMq3OlRlqTR5pl7PS8dnlen41YQhIoBYeBWbbjxWnERHfp2AhUXFVJMxz4U1dY9lD22ZWe+b50QSrl7XLm3kvrfTuFNjnabEFqzZo2Hi8s8YYJJjFatWnEeKdzjuRm81rt3b9v/Ex8fz/dRR5/ATrbC7HQqOLLftR7hUdT0ulf5HlUyzRNCEK8Qkl/VbR+uff369fO5nL9FC6oCbMvTTz/dozKyIAiCIAhCdadKhbCff/6ZRS7kwcCsYn5+PncQ9STnKG/+zTffcDl5LL97924aNGiQz++G8IVqVuoGt1CgQAhAVZYC9ybi9OrVy+tn/RGxlIjiLVGz0/xNS5cu5YpeuMdzxTHHHENFuZm0e/IoKsrLpvBGrSkkuh6/F94Alb/6UYPz76YWd87gwRcGW8oNxiEvUa6E+8OvGezXOlm56qywq+LpKyF/oKpwlSWhsxkpYS8IdRPVhquk67iHS9etcu7+zZT25yx+XL/fCAoKR44touDIOCogl4B+ZdJOGtsnnrI3LmGnboOLH6CgiBgjT9TYsWM9fhvvqWuNyvvlzTFmXsaDkFAqaHIMhcQlUVQb12ROxpoFtOfD0XTou9cpXytwwlWSCws8vuKiiy6yFOAC5bR1miML6+Dt2uLPdVoQBEEQBEGoYUIYksLDvdWlSxcOKYBAgqqJy5cv5/ePHDnCHUaEjmEW+bjjjqMPPviAFi9ezOKZNyIiIqhJkybGLTExMSDrDDdTIMSJ8mDn1ALYnnaUJTeKqmSJPF+4oSpZWQRAzILfeeedHjlP4FgAhekHLKs3KoIjoqnJkBcpokXX0v8T55qFRvLnMaNv92t9sA2Qv8wXn332GYfTWIUSBnKwoufy0bnxxhsD8v1SAUoQ6iZor9Fuq6qSCOc3V/Q98ts0yk/dS6HxDSmhzzWQddidq6oQ3zbiVhowoD8tfOFmahgVRGEJTej8J1yVD50U/LDK+2V2jCHkHctA6AqJb8ivhSd35AmQoNAIanL187xOzUd+RNFHu5xr2ZuWUlFOOmX89R3t++Q+Sl8xhwWxAzOftVwPrKtVyGYgBEZ/nbbethtyc1a1c00QBEEQBKE2U62S5UP4AvXr1+d7CGJwifXt29dYpmPHjtSyZUvOSeIthGLhwoUcbgkBDCLa008/bZs43I5Zs2ax+AZHWSCq0QUKdJDHjRtH9913n4cwo7adGQhnCEUti4jlb6Jmf2jatKnxOO3PmRQUGsYDmawNiyiiaQeKbNWNigvyKaHPUH6v4cAHae/H93D+F7wPCtIP8D7yd+AAZ4RVIn99e6oKbQi5TEhIoPvvv981WAtAwmUdhOxUlONMEIS6jbn4AyoBP/DAA8bz4oJcSpn/OjW+4mmKO+4Cbl8jW3Y1KvIq0Qrt4Hs31qPLJi2mNamhFNPjPMpYOddW6MF1GteOH374wWvVXQhTCHlH8ZMm17zEbt+czSsoqq19GH9B2gHK3bHWeI6cZykLJvncFuq/BMJpW9bqsr5C89FnEQRBEAQrYByBuSA1FcVhBEGo8UIYxAWc1BCbEC4H9u7dS+Hh4SxA6KBaId7zFhaJ8Ekkx0Vpd1RyOvfcc7lTrnIl6eTm5vJNkZaWZoQZQjzD7/Xo0YNfgzBXHcC2QoceTiUlzCAxMoQ6zE6bZ98xKEHZ9ssuuyxg4o3aFuXZJuvWrSt9UlxERxaXusJyd/7NN5C+fDY1vup5ikhuTw0vfZT2ThljDJIKUnbTL7/8Yuwjp2D5a665hqZMmeLxntqe2Pfq/8FJgRx1OKbatm3L29HXf3e6jZBrzLzfsA7IpVNdjrmKJBDHUm1HtpFsp0DRrVs3j9dQTTJj7U8Ue8xZVL/vra5jLmUXHZz7qltb1LlJDA07sRG9+fs+qn/WzezIylr3i+XvFBQUcG4uTMLYTX7hO5988kkqpiBqcPF9nOML2IlgWRv/oOh2vXjipCxgUshpu+rrnMP1QVVP9qft8pVbMiwsrMa0hdIuyXYK9LEkCIJ3rrjiinIV0hIEf/nll1/oxRdfZJMSzCczZ87k3O52YJl77rmHli1bxhOGd9xxB40fP95jObyGlFOIPkO+UegU6DNGRkbWLSEMucLWrl1Lv/32W7m/68orrzQed+3alTv9EC7gEjv77LM9lscGR0fcDEJJoqOjqbrSqVMnTtiPgw3OKhxAq1evphEjRrCIYw69gHD2ySef8DYJJMjvVlYOHjxo5JnxBqprHfhqLDW57lXOHdbyrlInV8bq7yml0zk0b948v38fiX6nTp3q9vvKPYcBjt13YjvjFshthP2GxgBiGEQxhOD6+zs1nfIcS3UF2UayncoL2l0rDv/0HkW1Oc7I05h3YCsFUzENHz7CaItw/OH60mDgwxTdrjc1vOg+SmvSjg7/zzP3FpxeuObYte8I1UQY4EcffUThjdtyFWCEumNCJOEMFL0J5qqWEU2O5vW4p81+GvXC047CMe048cQTK6T9DsT2VyAvqq/8lNUNaZdkO5WXrKysAByJglCzycvLYxOIN6KiovgmCJVFZmYmp7FCyh4nudphMGrYsCE98sgjnCPcimnTpnF0wuTJkzn36oYNG4yCh0iLVWeEsNtvv53mzJnDaqPuVkJuLzQIsH7qrjBUjcR7TmnTpg2LRFAkrYQwOKXuvvtuN0dYixYt6Mwzz/Q7nLI6gFmCq6++msu0mx1GQ4YMCagjDJ3fc845h2ewywoEupEjR/K91+UyD9OBL8dS0+tfc3s9Z8daOvPMZ1nU8heIo+ZBFZ4fe+yxZfq+8mwj7Deo57rjrK4QqGOpNiPbSLZTII8lTP7s2LHD7fWi7DQWwxpccA8/L0w7wCGAqhMDYQuVftFGHpzzCtXvO4xiu55D8ScOpOgOp9DBOS8bLl6AdhRt2aOPPmq5Hri+QgRT+cBA7q51lLb0Kxbhwhu2prRlX1PUUT3ovvvupVtuuIbCqMDR9cIOOHudzqRX1DmH6443sM2rQxoGJ0i7JNspUKhoDEGoSyDlACKhQkNDeWIeZgXkT0ZO7M2bN3PKGzx/4YUXjGrC5tDIJ554gtP5YAyB6+3hw4c5Egq5K+Pi4hytA0wjcOG89957LMRhMh7fKwgAxxNu/jjfkfsVQOiyAjnfEQkIzUJ95qqrrqI//viDKosqFcLQmR41ahTb69AxRCijDvJzofP5448/ckga+Pfff9k+57Q6k+q8Hzp0yC0flTmxPm5m8Ns1dVAOZRVuMSQGxoBB5bQyb+NAUN7thEphGJhAqEQuN+xvKzETF4S8ff/R/i/HUqNLH6XCrCO0d+q9FFyYx7njyrIOcNVZhSSW9fvKu42wfypiH9UUavI5V1nINpLtVF7+/PNPDxFMkfn3/7gqY3T7kyhz3S/0/sJN9Nhjj7Ewj8+piYPivCw6NO81yj+0ixLPuJ5C6zWiJkPG0f4vn+Ik9pjRQzuqCpNY5WPEtV8BJxrI3b2e73O2rOAbyN68jJoUp/Cxr64XSHWA8BB/3GFYJ0wQ+dvGBPqcw3XHjvPPP5+v3zUNaZdkOwXiGBKEuggmhBAVgnzU4Ntvv6UJEybweABjH0z+IC803Nh2YBIdYhiMJRDCcN19/vnn6ZlnnnG8DjCFQITA9RXOHIgUmAgShIoAfR2Iv0uXLmW3Po51RGIhbVGdEMIQDglb3Ndff82Ktcr7Va9ePbZ84h4zozgxoYjHx8ezcAYRTE+Uj842QtkwU42k45jphnAG1xgaBjQeSGaLxLZ1ifIk862qZM5InoyTwQxODkX2pj9o27gLjOf4j2X9b/iclWBYnbeVIAhCeZg71zrBveLgNy+6PVfJ5TGhZCbtjy8oNLEpxXV3XV8bXHQf7Zv+EOXv3ehRmCQ0oSlFNO9MeXs2UHBkDLVo14XfD2vQkitBFhcXUdaG3y3XSXdnqwIucJBAGDPnxLQCEx5o66tD2451wKy7uVowBD4MYgRBEIS6Q7t27djxpejQwVUMTLlkYBKAQ8ubEIbrIJxiygEGMQHGAqdCGBxhjz/+uLE+r7/+On9ehDChooATDKkiTj31VJ7URF5ZHOfI7V4nhDDkQ1KWTB3YQaFEA4RkoAMLYQvxphA9zA0BXGKq4iSEDOT+gLINy2hycjL169ePxo4da+n6qmvVwqo7dq49b6AiGVx/Zf2fNUkwFARBKC/+XAvhokK76I2U7yZSyoK3qCHyhrU9gR27KGiiBDS060HhUdRk6IsUElOa5mB6JlFM59Lrf+6Ovyn/wFbHCebRdqPzjokxb2IYOvcQnapT266uOxC+MAkIJ1hNCYcUBEEQAgcioMzjGhg81q9fzxM+EAhycnI4j55d7mpcI/UwSFx39+/fX+YiOv5+XhD8BdGAqGIOXQcFCtFnRPoKaDZ2KTVqXWikLxCv/MYbb/DNyffASTZ//vyAraNQufgqK28FnFxqwFVXBENBEISy4kvYsru+es2ZWVhAB2e/QE2ufp4T3zcZ+hLNX7KaJ7qQJyK2a183EYw/UkzU4MIxxvOC1D1eE7VaAfEI4R9wftvRpUuXatm+Y50w+ykIgiDUXRANo9i6dStdcMEFHCoJNxciolBIDpMnyJttJ4SZQ4sxieXELR2ozwuCv0DsgnNRueORHw99PTj9H374YTZCVTQV/wuC4Aew4/p74DtxLAiCIAgu/MmxCVTCU1+5q4rzsmn/F09RQfpBColNpOmpbem5Gb/Qyy+/TOGN2/Ayqb9OpX2fPUop302gPo3y3T5fcMR69hlOb29t/PHHH+/1+uDv/xUEQRCEqmD58uUsQOG6Cbdz+/btaffu3bIzhFpHVlaWx5gf/T1Qnurg/iBCmFCtUDm71IngBITRVsfZfkEQhOoI2kvk6IRI5AR0yFX4uZ7HxIrCjEO0//Mnjedvr0inmO4DKLKlK+wiP2UX5WxdSVf3bk3PXX48J9fPT3F18nO1vGI6cHx5a+O9TaCgapZcHwRBEISaACZ9UI134sSJnB95ypQpNGnSpKpeLaGOk5GRQatWreIb2LJlCz9GAUPw4IMP0rXXXuv2GbU8PnvgwAF+/M8//xjvoxoq0mR9+umn/H2o0g2XGF73RwcoDyKECdUO2H9hDX7llVccLW8+8QRBEATvIAEuiskgiT1uqNpjB2bmUEXKl/tKkX9gC2178RJKWzabnyf1v41C6zWmorxsrgAJMOExffp0rjC5e/JI2vXurZSzebnl9/n6TasJlCFDhnBlTFxPBEEQBKEm0L17dx7/jBs3jo455hj65JNPOF+YIFQly5Yto2OPPZZvAIUM8RhVxcGePXsMUUyhlofLEcUR8RhFgRSPPPII3XPPPXzfuXNnI3cqitZVFlWaI0wQ7FBVwXCCeLNH+gqZEQRBEOzbWZRn1yv4oLPijdjYWGebs6iADv/4DmITKf64C/mltGVfc/gkQLtu5PUqLKCClF3lauOl6IkgCIJQExOGm7nrrrv4poNcSnokjCoqB5544gm+6dx55518K+s6zJo1y9FnhbrBGWec4XU8joqlZnyFN4aGhnIxI1WttCoQIUyo1oO0iy++2GtjDNVYwl4EQRDKD9pbKyFMz7MFi7s/HP7hbUr740sKiUmkPJvQRzsggvnTxkvRE0EQBEEQBMEJIoQJ1Rq9FLAZ2Csl7EUQBCEwIBk+RC/zLB7ygikxCvm4/KUw/SDfnIKcER07dmQnmEx0CIIgCELZQLgaws7sQM6mli1byuYV6iQihAnVmssvv5wTRVqB0sKCIAhCYIDohOTyt956KxUWFnICeiSqHzNmjNsyqGS1ZMkSj89HRUVRdrYr9LGswAWG0vEigAmCIAhC+UhOTjYSnNu9Lwh1FRHChGoNBkRwKSxevNjtdbyG9wRBEITA4STX1sMPP8xVfcwgZwncXOVh2LBhIoIJgiAIQgBAHibJpSwI1kjVSKHas2jRIvrmm284FBI3PMZrgiAIQuCB+IXEqHauLDVBoYPnDz30UEAqZgmCIAiCIAhCRSKOMKFGgIGXOMAEQRCqB5iMmDNnDn333Xc0YMAAo33u168fff/991W9eoIgCIIgCIJgiwhhgiAIgiCUe4Ji586dtGDBgnJtyaSkJNkTgiAIgiAIQoUioZGCIAiCIJSbjRs3elSc9JeTTjpJ9oQgCIIgCIJQoYgQJgiCIAhCuWnXrl25Ph8UFCR7QRAEQRAEQahwRAgTBEEQBKHcILn+7bffXubPw02GapWCIAiCIAiCUJGIECYIgiAIQkAYNGhQmT8bEhIiZd4FQRAEQRCECkeEMEEQBEEQqjQ8EmGRb7/9NrvKBEEQBEEQBKEiESFMEARBEIQq48ILL6Tt27fTTTfdJHtBEARBEARBqHBECBMEQRAEIWCVI725voKD3bsdeP7mm2+KE0wQBEEQBEGoNEIr76dqDqr8e3p6OoWFhVX16lRb8vPzKSsri9LS0mQ7yTaSY0nOt2qBtEtVu42aNGli+95TTz1FCQkJNHr0aCoqKmIR7LXXXqP4+Hhel+qGHEuyjeRYqjxUG6D64NWFefPm0bp166p6NQShVrFo0SK+l/NLqAi2bNniaLmg4up2xakGbN68mdq2bVvVqyEIgiAIgiAIdYYdO3ZUC4fo77//Tn369KHCwsKqXhVBqJVgMgyTYoJQEaAA06+//konnXSS7TLiCLOgfv36fI+cJfXq1auQnVNbZu9atGjBnRbM6AuyjeRYkvOtqpF2SbaRHEtyvlU3pF3yDeblEYmRnJxM1YGIiAgWwaZOnUqdOnWq6tURhFoFnGCPPvqonF9ChQAX79ChQ7kd94YIYRaoHCYQwUTg8Q22kWwn2UaBQI4l2UaBQo4l2UZyLFUecr7JdgoE1XHyGSJYz549q3o1BKFWocKN5fwSqhJJli8IgiAIgiAIgiAIgiDUCUQIEwRBEARBEARBEARBEOoEIoRZgHjSxx9/3GdcaV1HtpNsIzmW5Hyrbki7JNtIjiU536ob0i4JgiAIQvVCqkYKgiAIgiAIgiCUsGLFCjruuONo+fLlkiNMEALMJ598wsnM5fwSqrL9FkeYIAiCIAiCIAiCIAiCUCcQIUwQBEEQBEEQBEEQBEGoE4gQJgiCIAiCIAiCIAiCINQJRAgTHLN161YKCgqiVatW2S6zcOFCXiY1NTWgWxbfOWvWrIB+pyAIgiAIgiAIgiAIdQsRwmoZ119/PYtGuIWFhVHr1q3pvvvuo5ycnHJ/d4sWLWjPnj10zDHHBGRdBUEQBEEQBEEQBEEQKpPQSv01oVIYMGAAffDBB5Sfn8/VEq677joWxsaNG1eu7w0JCaEmTZoEbD0FQRAEQRAEQRAEQRAqE3GE1UIiIiJYsIKD65JLLqG+ffvSggUL+L2ioiJ67rnn2CkWFRVF3bt3py+++ML47OHDh2nIkCHUsGFDfr9du3YsqtmFRs6bN4/at2/Py5555pm8jM4TTzxBPXr0cHtt/PjxdNRRRxnP//zzTzrnnHOoQYMGVK9ePTr99NO57KkdeXl5dPvtt1PTpk0pMjKSWrVqxf9JEARBEARBEAShtvLhhx9SQkJCVa+GUEsoLCykRx991NAG2rZtS2PHjqXi4mLL5YcPH856AMbz3khPT6c777yTx+n43pNPPpnH/GadoGPHjhQTE0OJiYmsWfzxxx9UWYgjzCE4GLKysqiyiY6O5oOtrKxdu5YWL17MByGAYDR16lSaNGkSi1y//PILDR06lIUvCFA4Ef755x/69ttvWZjatGkTZWdnW373jh07aNCgQXTbbbfRLbfcQsuWLaN77rnH73XEiQLX2sSJE3k7v/zyy3TeeefRxo0bKS4uzmP5CRMm0OzZs2nGjBnUsmVLXg/cBEEQBEEQBEEQaitXXHEFj5MEIRCMGzeO3nrrLfroo4+oS5cuPJ6/4YYb2Jxyxx13uC07c+ZMWrJkCSUnJ/v83ptvvpl1iClTpvDy0B8gdEFnaNasGS8DM83rr79Obdq0Yb3h1VdfpX79+rH+AG2iohEhzCEQwWJjY6myycjIYJXUH+bMmcPrWlBQQLm5uRQcHMwHGR4/++yz9MMPP9BJJ53Ey+LA++233+jtt99mIWz79u107LHH0vHHH8/v684tMzhpoBpDuAIdOnSgNWvW+B2CedZZZ7k9f+edd3im4+eff6YLLrjAY3msI0S8U089lUVCJfIJgiAIgiAIgiDURBD1Eh4e7nUZuGtwE4RAsHjxYrr44ovp/PPPN8b+06dPp6VLl7ott2vXLho1ahTNnz/fWNYOiFpffvklff3113TaaacZ7q9vvvmG9YOnn36aX7v66qvdPvfKK6/Q+++/T6tXr6azzz67wnewhEbWQhCiiPBFWAvhtIKqe+mll7K6CkEPYYgQytTt448/pv/++48/O2LECPr00085nBFJ9nFy2LFu3Trq1auX22tKYPOHffv20bBhw1jcgvocHx/PAiAEL7uCAPh/EN6gVH///fd+/6YgCIIgCIIgCEJVccYZZ3C6F4SQIRKnf//+LAZ07dqVjRBIczNy5EgeF9mFRqo0NHDeQMTAWOrKK6/kiBsnfPfdd2wuwHcmJSWxCUGNC4Xaz8knn0w//vgjbdiwgZ//9ddfbJI599xzjWWQWumaa66he++9l11jvoAZByGXSGGkAwEX320nAsMMg+MXqZsqA3GE+RGiqDdClfm7/oKG8+ijj+bHkydP5oMJ6qqq9jh37lzDkqjnFQM46Ldt28a5v5BXDGosQh9feumlMq0/3GjmGGMk8deBWHfo0CF67bXX2N2FdYGghhPCip49e9KWLVs4fBPutssvv5ytlnquM0EQBEEQBEEQhOoMQtJgRFi0aBE/x/gGaWCQs2nz5s0shMGc8Oabb9p+B4SrWbNmcVQQ8j1jbPT888/TM8884/P3MzMz6e6776Zu3brxWPexxx6jgQMHsukA4zihdvPAAw9QWloa5+pCYTwIWDhukDNcgWiv0NBQj1BJO5DaCGN55Brr1KkTNW7cmF1mv//+u6FRKHDMQriFWQf5v6E/QBSuDEQIcwhC8PwNUawOoAF76KGHuIGD0guRCU4rhEHagZhciFO49enTh9VfKyEMBzZydekgbtj8XXv37mUxTOU605PtAzT8aNxVvDvyfR08eNDr/4JrDDHyuF122WVcKTMlJYXq16/vYKsIgiAIgiAIgiBULYiIeeGFF4zniHhRwOGFMDIkKPcmhMGxA6eYyq0M9w5cPk6EMEQN6cBEgfEbcjkpE4VQe5kxYwZ98sknNG3aNHZ7YZwOhyLyekELWL58OZtVUMjOn7zlcCjeeOONbL6BwAYjy1VXXcXfZxXJhrH/u+++yyIuotoaNWpEFY3IvHWAwYMH8wGIPGBjxoyhu+66i2cfMHuAgxpJ6vEcYBYA8bwIo/z7779ZpYXgZQUaZSS0h1D277//8gmERths+T1w4AA38Pi9N954g2c6zBcAnCwItcSBDwXaW+w7LMNQldevX8/i3ueff85VMqWCiiAIgiAIgiAINYXjjjvO7TmiXRCRAwEBwhZELUTOeCvaBsFMLzAGZ83+/fsd/T7GchAokDcaRgOVH9ouRY1Qu7j33nvZFQZXFkJycbxBK0CBPfDrr7/ysYQCdXCF4YboMRTI85ZLHHnEke8bLkOYXJBzDFFhOM6sItl69+7NEWz4ftxXBiKE1QFwQCH+HGLUgw8+yJUhcXBD4IKTCqGSsN8CJGjEMrDHIrkdBDTkDLMCJwQS4cGKi/BLVKJEMn4d/AZmMCCAYRmcBBDjdHCww8YLpRgnH2yX3lRgNPT4L0jof8IJJ9DWrVs5lFPsu4IgCIIgCIIg1BT0iCOMaZCjC+MwjLHgnsEYCtiljAFhYWFuz+HcgUvMCRdeeCFH1cCNA0MCbr5+T6g9ZGVleYyhMf5Xxw/G5kheD9eWusEtBgENifOdHN8QZjHWx/JIzO8N/C4K/FUGEhpZyzA7shRQenEDo0eP5psVjzzyCN+sgOprzveFxtpc2RHJ+c3OMdx0EK6pQJXKP//80+19hDvq6L+LxPq4CYIgCIIgCIIg1AYgfEEIePnllw1xAqFrFQWcZojqgQiGdDjALpm5UDu58MILOYQWBheERq5cuZKjrxDWCFBAATez8IpoLD2MFy5G5JaD+QZA9ML4Hcsg0gzCGfKQKZ0AuenwuxdddBELZQiNhOiL6pSIZqsMRAgTBEEQBEEQBEEQhCoEIWIIH0PaGggUyKOMiJuKIjExkUUOVOuDGIFwSGWcEOoGEydO5GgxFGVACCTcXrfeeiunS/IHpEDSc3wfOXKEo8x27tzJObyRiw7Cl3IvwnWGNEdIz4TP4ThEpBdCMZ1UpgwEIoQJgiAIgiAIgiAIQhWCNDJw46BKH0QEpKlBOptrr722Qn4PrjOkwEFaGiTGh3sHFSuR41moG8TFxdH48eP55hSE8Pp6DUnvcbMjMjKSvvrqK6pKgorNsW6CIAiCIAiCIAh1FBSTQhJzhKohh60gCIEDVQqHDh0q55dQpe23JMsXBEEQBEEQBEEQBEEQ6gQihAmCIAiCIAiCIAhCLQI5v2JjY21veF8Q6iqSI0wQBEEQBEEQBEEQahFIfL5q1Sqv7wtCXUWEMEEQBEEQBEEQBEGoRYSGhnIlSkEQPBEhzIKioiLavXs3V1EICgqyWkQQBEEQBEEQhACA2l3p6ensUEElO0EQBEGoSEQIswAiWIsWLSp0wwuCIAiCIAiCUMqOHTuoefPmskkEQRCECkWEMAvgBANbtmyh+vXrV+weqMHk5+fT999/T/369aOwsLCqXp1qiWwj2U5yLFUM48ePp8cff5y++eYbOu200+Sc8wNpl2Q7BQo5lmQ7BYq0tDSehFZ9cEEQBEGoSEQIs0CFQ+JiHB8fX6E7oKZ3gKOjo3kbiRAm20iOJTnfKhOIYODOO++kTZs2SbvkB9J2y3YKFHIsyXYKNJKSRBAEQagMJAhfEIQ6xejRo7mj/eyzz1b1qggBAGK8IAiCIAiCIAhCjRLC3njjDTrqqKMoMjKSevXqRUuXLrVd9t1336U+ffpQYmIi3/r27eux/PXXX88DXf02YMCASvgngiBUdyZMmMD3Dz/8cFWvilAOF4pi165dsh0FQRAEQRAEQag5Qthnn31Gd999N4e5rFixgrp37079+/en/fv3Wy6/cOFCuuqqq+h///sf/f7775xPADmqzIMhCF979uwxbtOnT6+kfyQIQnWuSiXUfFJTU43HKSkpVbougiAIgiAIgiDULKpcCHvllVdo2LBhdMMNN1Dnzp1p0qRJHOoyefJky+U/+eQTGjlyJPXo0YM6duxI7733HhUVFdGPP/7otlxERAQ1adLEuME9JtQ+kBsIVT4FwQl2ArtQs8jIyHB7XlBQUGXrIghCYDl8+DAL3Dk5ObaTF5gMveWWW2jz5s2y+QVBEARBqFlCWF5eHi1fvpzDG40VCg7m53B7OSErK4vDZMzVHeEca9SoEXXo0IFGjBhBhw4doopm5cqV9N9//1X47wguDh48SO3ataNmzZrJJhEcsXXrVuNxaGioOMRqKJmZmR7VxgRBqPmgX9izZ09KSkqihg0bcgSAzr///st9OryOVBlt27aV818QBEEQhJpVNRJCRmFhITVu3NjtdTxfv369o++4//77KTk52U1MQ1jkoEGDqHXr1ixMPfTQQ3TuueeyuBYSEuLxHbm5uXwzD6ogsOm5aLwBVxI6b6ojVxdQ28bpNgo0a9eudRsYh4eHU3WjqrdRTaGytpNeXRAuovT0dIqKiqLqwPPPP8+DvPfff58nBMzIsVTKkSNH3LZNgwYNaMeOHTz5IdvJN7KNnCHbqfK30apVq4wJCzg/kT5jypQpxvtnnnkmp7vQ+fnnny3zwMJNVl0qEJZlO2FZRDwgwqEuUF37SfPmzaN169ZV9WoIQq1i0aJFfC/nl1ARbNmypfoLYYEYOH766afs/kKifcWVV15pPO7atSt169aNZw2x3Nlnn+3xPc899xw9+eSTltZ7pxXJ1qxZYzyeO3dutel8VQYLFizwa3mEPGCwD3HymGOOKfPv/v3338bjL774ghISEqi2bCN/2L59O91xxx10/vnnc5hxTaYitxP49ddf3Z7PnDmzWhw3GLA99thj/LhLly4cJg7++OMPmj9/Pt1+++2G67Wit1FN4K+//vLYfvfddx9dfvnlxmtW2wmu3cWLF9ONN95YbQTQqkSOpbq5nbKzswN+/AdqG5nPbTVQUphFMIAKwBCMdDDRgfyzcJahba0ufTLzdsL1G69ddtllVK9ePbc2bdSoUTxZgxQgYWFhVNtBhEd1AhPkmDx/9NFHq3pVBKFWgklfOb+EigLtt250qnZCGGbxsZL79u1zex3PkdfLGy+99BILYT/88AMLXd5o06YN/xbcIFZC2IMPPsgdJt0RhiT8mHlEJ8oJuhAHd1pFzeCh4h1mR9ExRNhAVc/eoQN3zjnn+NVJQ2EEzATgVh73nN6xhRsPOeOqG2XdRv5w0kknGQLsjBkzamSHuTK2k9kRBk444QQOr61q9NA+hHOfd955/PiSSy7h+++++46uvfZabtDhfKiJ+ziQwElsBuc/tpu3Y0ltz1NOOYWdwnUVf883LD9mzBg644wzaODAgVRXCHS79OGHH9KGDRvomWeeqTJhZuzYsTRu3Di+Vqh2prK2EXJ+ff/999y3iouLc3xuH3/88ez2tGPv3r0e/wXuWohMuGHCrVWrVlSVYH2++uorPo/07YS+IkQvhOpPnDiRvv32Wxo8eDA/37lzJy+DquooJOUPyLOLSR5ER9QUqluIO/YNjsepU6dSp06dqnp1BKFWgXEsRDA5v4SKAC7eoUOH+tRjqlQIQyjbcccdx4nu1QBFJb6HA8KOF154gTuScEqgg+QLdCaQI6xp06aW72MjWW0odFacdn7RadFnImNjYynQoLOEThRA43HhhRca2y1QIBQB33vyySfzNnaCP9sJwJGhf7asvP32227rXZ3FAX+3kT/oAwq47Zo3b041lUBvJ4TQQeyCeAQR2ZxUHc6I6nDc6JUPL730UhaI9fXCoBU35MbB+Yn3fvnlFxbx7Nq12gwG1FZuAn2bqWMJA2Es3759ezdBtDrs95pyvn388cf01ltv8a2yK6/i96655houlAMhDhNBld3GlaVdwnojxA8iBkQvJIBHcncAURtu9aoSwgDck75mSgO9jTDh+Prrr9MFF1xA33zzjeUyVpNjOO6efvpp2+/FdkZ6BN3dq4fZIUTi6KOPpqpE7W9UOe/du7fxujqf4FZFf27ZsmV8w0SvAsePP8cftsfw4cONPnV1cMMtXbqUBT6IsHrUhk51bZMhgqnUJ4IgBAYVbiznl1Cnq0aiY4SEpx999BGfFBjooUODKpKqwwjHlgIXUYhAmO1CBxMzgbipKmK4v/fee2nJkiXcGYCodvHFF3MnqH///hX2P/ROFwbXFYGe8B//HzPzmF0OJNgXCCFFqEFFDXgCZX/XwyUqoxhCWasUYl/pYZyBAjmRzNVVze7Kup7rAw6MjRs38kw7MA/8IKZXB8xFNtCGWW1DiF8qbPv000/nkO/qDIRHbHMrl0d5GD16tMdr+sBRgTbs1FNPZZedfg5Wh4FhTQCiCdxzej7Gymbbtm0sggFcm+DWrglFaZByAW50NWGjCz/IaVXVVEUuU4hgYM6cOY4LYZgnCo499ljLzyFXrA5CCvVjqLqAcHe7yVQIYABir74dzFXRfaEmTM39LTiu8F2Bbo+dADEbkxLm4geCIAiCUGeFsCuuuILDHJHDoUePHpwoFWFAKoE+Lpx6TgjMDKIDh3wKcEKoG74DINRy9erVdNFFF7ED4KabbmLXGXIDVWTCUb3TUlFCmJXIoZLKYrsh3AAFAcy5MvxBF9YOHDhAFYFVR9cKDPoxc6o6hzpmkQBuGTMYPN15551V0ulT4Pdnz55t23kvD5ihxPGNwaFV599fIBoEQvzEcYrzF3mYqlNSdfw3sxDmtDqtU8q6/czn2muvvcYDBzOqDVMCXkW1NeUF5xxCoODcQW4zVHYN5AAIhVackJqayoIxeOedd4zXrYoRBAKIrhAxMTlT04GDCddlOHjHjx9fZeuBPoAZTJxVZ9AOPPzww/wYk3uYmLvuuuuM95H7SXA+UQaHvWpblYAHh9iLL75oLGNuC/VrIdoiX2ISJlghkK9YsaJCd41df0Qv5AQHq74dUBTK6WQfJpS//PJLy+0AJx5Sd7z66qtU2ThtswVBEAShzghhAGGQmLHDIBWzZb169TLewyAfrg5d+FEDdv32xBNP8PtIAItBIpw46DBheQyAzJUpAw0GXIqKGpwq15sVEFqwrRDSiFlou1wLDzzwAOdUs3tfDznCQKii/4dZtEP1zVdeeYV/G44XHA9IAu+rU2XuXGLfIzYYggKEKHQi9Y4k9lFlhPhYJf4NBFh/q45leYQw5FhBovbyHr8Io8L+++CDD2yXwXGmHwfYFyr0KpDozh8IsGYh7LfffuNjxAqEqphzipmBMwvHLMBgF7kIzS49J1htc1RLM6Mqo1Z3RxOKYcCBC1EUAzrco7BJZeeR0Z1DCI1VVJQ4ftZZZ/GkDNqe8oLBL/L/+TOARFunF24pD3btAMSxynBkIZQKAiquA95SEVQU2I5ldfLiOquIj49nV3pNBbmtkJ/Kqj2qrIkytNvo12ByRV03kJNs5MiRtt+jXws///xzFoDsrsfoY6rQS0ycViTm8HyrYxr9IrMgqK4zvjC3F3p7qYrF6JMClUV1rOotCIIg1G2qhRBWG9Ct+4GsfDNp0iQjjMKqgwgBYfPmzW6vQVS0G3QitBQdfHQMfYVLwE2DakW648gKf0Of9Bl+OHIQOqIEMeTIuOeee9jppICoaWb9+vVuz6dNm+YmbOlOICSLhUCBG/LF7dq1i6uB6hXmKgq7hMDlzYlkl+hbOVEgzCI8wpeQo8D2hxMTs8mopAhnIApLOC0/q4OBn/69ZrCfkLgY2wYDXYhREJQgYFuFvAUKCKF6fjq1neDaQxJjbOPbbruNhSycI3DcIQeXXVgYHAYQPhB2B66//npuB/RjF+D8QW6jf/75x6+cV1ZYCWHlcYBWBGgL7Nofu0EgBqEIB1L/x5sbdfny5cZjc54lhEHqbQPETCv8baNRkRKOZdWuYP2sQldVcmt/Q5mswr6RCxPiqlNhFQN9CC52xWMQjobjBv/FqQBiFy7pq0BNIECuPLvBf0W7S9CO4j9igsnumPUG9p1+Plhdw7y1B97EHQiRFRFqbwccbXDZ2+V1cop54gnn6VNPPWUIW2hnkT9Ltbdoi5WgiLYBk5qYXFECF64f5sqX+m9YTQpZucvxGZWKoyKEcvw/XF8UdseTOT+WuY3C8eik3TKHvGI7mN1kVeGSlyq9giAIQnVDhLAAAJu5Prgoj6MGHRTVkYEbCp1QDKIRbmPlCMNvWXX4rAYKulhn1ynRO1GoXjRs2DAOubQbbGN55F/TXXw6jzzyCIc3qnXEd5oHrkjqik42BL0///yTX4cY4w2IWWb0vCt2nU3kl1GJlr/44guqCUIYRAWEhqg8Od7WHcmYMUhKTEykl19+2bYiotntpx+zeAxx56effuJZeH/RS8Drx5wCx7EaGGKgi8GPLlwGEoQMKyBeqFBI8+w0Bq4YDL355pssZMFZo8B2sAJVOtX/QViLfkwqkQTnM84fHJtWhT0gImNfqhBnX6jBkh7aB+dQdQJ5HSFs+nLOKjDwRVgSPgdBEG0OKsRBILVC5RdSidN1UIn26quv9vp7/gphEKUQggU3CSYm0E5h/SCC+gOOBaeCp+6Cxf61crIg5BPXHuX40MU3HE/mATGKLAD8Fydhy+eee67te9h+5rYcxzKOdbT5VqCyINpf8+fs8OZIVjn/Kgq93SivQ9YuFQAqXvsLjgUlROKabHd8BxK7c9lf9HA9gFBRVJBWVUghauMYUde5mJgYnrAC+rGs+kG4JpqdsRAXEVKOCR2rfpGVAGSVs8tKuPQHhO5iIgrHDlJ3QNT11TfRQyPtjhu0P75AG6gDJywmAZ988slqI4RB4Nf7CHYTFoIgCIJQkYgQVk4wm4iE/zqq4wxRB24TO3cDBkX6DCY+hzAQiBhw4iBhvQLhNqi4YwadJatQIauOjh7O4k3YUujuGX1ddDAoRNgTXBpWv4nKk+hovvHGG/zcrlw7HGoQxewwD0aUcKILNbr4F8hk7dh/5o4xth9CvyB0mR15OoGoHorcSti2CLdSM7ve8oWgVLyOOTEzRAfkbdIHJnqn++abby7X+urHllWuJPOACPtWF3YCte8w4NBn4vVBhBp8KXCM6i4mPU+MWje4lpBjBecIBDU9zwr+sy5UN2zYkM8LXcCwGlAjoTbOa6c5W1SeQP2YQ9twxx138GOsmz8hvxD5EBoaqMTZ2HdwZ9qhhFF9W+jbDYNj5YDCtrECodMAxVIQsgUhTR9k4bk6Bu0EVqdCGNZXF6XQFqjjxE6oswMhVxDQnOZI1IE7Rm1fCHP4X3369OFrj5WLsnXr1px/0w6UK/eFr4qCZucjhGG4H+2qDaPth2PO7hrg7++XZTs6Rf9up+Klv6jCF/6gQsdxfON6gOPJ7I6urpgFGoS+ehMEIYKpCQt9f6i2yuraClckjm2ETVoJYWpfom8DgWr69OmWOejsihCh3cVnfLlw4Q7GRBQc9eYJTLvrm7ndtjq+nST9N08+IVUBUOlDqspFrO8vNSGF9jQpKYnd17o4JgiCIAiVgQhh5QBVoFQ5dB2V3B8uMQwydYeCAqEGyFumW/LRiUNnEYM0zIrqrhS9AwihA2E6qrNkNdizGgzrQpHeScTgBMIAZn71zqruUoF44iuvhbfcPSphtTf0oghmzFWm1H/GYFChdzidiim+loPAh8EG9pXKr6GEEiTgxW96q9ynO8LKIvCYt5s6luy+CwKXGThn1LEDN4bKhYKCE6qSmbf8c/6iD2CVww/OLzhR8DvmMBSrXF6BwCx24JxT+CpeoAtoOK6x/XAOYLAP0dYqb535+MRAz5tgiW2iz9LbgfNWuWzgAMFAzxziCYcMBhVIpq8cj75Q4a8Q62fNmkWBwNdxBKEEbhuI/cpFq39GL3qBZcxtGhyyChWeh7x2HTt2dFsW7RiEfztRxqkQZh5Mo43SXWhOw+aw7hBF8X16aKcVVqKkmmRAZUwcewkJCcag2K7yqb5PrdazvOF15uIz+uDa6vf8DTH0tbyvfIgQiCBIoICBv+jXMn+dw07/p7+hkebvhSCD64B5YsEffInmZkGoPO44PWTeCRC3veVCtBLC1MQL3LlWx4ealES6BCyL66nVeYBrphW41uMz6A84mXCwyj+ptz36PjW3nWiXzTRp0sTnb3qbmKsoRxjOMV+TKXq/QImPSNWhC+uVkbdVEARBEBQihJURdEBRmRIzfmYw0MeAVeXWwownRC7dHo8BMDrbqvoVOm364NabVRwdhs6dOxuigVWH2mo2Xe8YIsmsysWBxxg0IdRHH7jbzYraDX68hbfBVePvLKTe0UX4pI5aNwg/EHTsZo194WuQo1elUq4Mq44khBOrjjfCO7yFCfqiZcuWbs8hvnkbbNn9hnr9rrvucnsdxzBEBISo2OGvgKcfe8pJB/EWwodd2JSeBylQQpjZyaHynWEwowuovkD1N92tiEGWk0ISOObN54QuRiM/mi+Sk5N5xlw52CBaI6zNyhmgRFIIbGYXoHK9IaxK7U89R155Q4GcCmG33norVyDEMaLOLafhXfjPuqsP7jwF3B3mZb0lrHd6jJnbUbjddAeO1Xa2Qm8bzLmAzFi1o3DH4JxHfigzcM1gAGlVFVkNLK0mGVRVw7Ji/r3IyEjjsdMKd97QJ1nQDuKc06+LCPWEsI9jwqrthWCI6yucuxALcb7BTeevEKYLjci5iPyM3nLYeWsb1MQA8LeyqN01DaJoWfHlwkGxBp3y7FdvBRasBBCIbt7OYV/nkTchTN+/Vn04q8k3czuO8Etf10ur/6y3kfp6mPtbVuHyTra/VainmUA6wjApiArt3hz9ZhEV1wDsH/2YRj/WTtQXBEEQhIpAhLAy8vXXX3t939yJQf4WiCVK7NIdJ3AvIHeK084MOlpKYMGAzmqQY9UJ1B0xYMiQIXxvFRrgFH2gaBZh9M4WRAFfA17zDK8uNukdcnyPEhAxCNC3ha9QTqtt6W12FCFu5kTY6v/oQOTEjLc53EXfBk4HYYpAzo6qWWIrAQ1Jsb2FSvkrTOkOBQgvcF+pwaFdhUZ92wTKnWYWwpQIBeEULiJ/0AewOOb1wadd+Cs6+WZRQz+erDALvspR6MRNoYcYWeVhQq4+CClKTNJzmvmT3B3HJcI5kdOrLMeKeXvZtQtwxeqDSj1vk/l7zFWB4STx5rzCINbJ+WUO57IS9pwwYMAA21xA5sEiKm5auWPsQpYhCKA9spr8UOeSXRuvi3r4/KhRoxwPRs3uFH2g628yexRMQZi7PqmjC2HIV4ZzTjmhVeJzhFnCJWg+b/Q2DwI4tj8EYqcJ383uZhwruCYj5yJCdvGb+D6Ibepcg+MP4rI3AQUhYEqMQZsI8dqpg8wuVLQ8ecLMYhz+J/YFrmPYbuZrupO2GdUlrcI+7Y5BHL9WIh/Cns0Ctz9YFYpR/0e/5usFGXRxDULr66+/bjxH7sL/t3ce8FEUXxx/pBAIEFoIHULvvfde1T8ICqgIWEBULIi9gNiwIooIKk0FqQrSpfceeu+EHhJKICH9/p/f3M1lbrPXkktyuXvfD0vu9vb2dmdnZ2fevPd7Ktaumy0jqbZv5qxh0ZHtHblGrvQIk9dafUY68jxG6KjUgJNweCTDMAzjdYYw6EdB7wUzyhBdl9oR1kBoErxYsD0EVrUGBnTmMOBDJwoDCHhjpSc8QgWdIHS6bWnPqNpM1vRZWrVqZdb5kcCoo92fnhi8eizS+INOj17HR7sOnW5tmBAMY+iMZCSttdqBRcZH9RqonWwM1KQxBMeuN4hWjxmDRXVgpYZJqVn84JUgO1OqV4sjGjgAnX4YGWBEQAcW100VR1c7aqoxwlpHEhpv1srHGYFndJa1QuDyfFUvNYm9AR4GuOk1MmmNGzgnPS9EXHN4mKkGGXxXNWDguloT8Lf2e9Y8+dBWaI278jgwS21tgAj9JGuGJQgL2wMGUdXACU83vYEcBq56xhgYCawZumEMUI3k8jidTbqAkBNrWf9kmanGCjWMDgMWWwMu3Ccof9RPrceDqkNjDakX6MhAHuUnB69aDwzVEKYtH7Qx8l60lmHVkdBAe6Lybdu2tZuJFYYBqYkD1LqCMCk1lAlZ9N577700+8JzTBr/tSB02xp4rqj6izCGqqjZH6FTh4G/NNrJuod2S5udU/VWhTcpDI+qqLqzhjAYsmB4UZ8LatINe8lTbOnSqWgnMBw1hKEeqGWHEGnpYSY1z/AXZS3rDJKA6P0+PDzV8EY1CYo10JaoHpAqznoaq880rfca2h5cC9w7eolS7IWj4rmAZxG+rz0ua20K+h96+0UGVFuhkepkix56SU7kMem11zBuassDz03UPdRLa55jWoM6noG2UJ/BjnjdQ3TfUUMYjsWR8FVXGsLUyYqZM2da3U57XMjMrL2+rtR2ZRiGYRi3N4RhkADBX3SmMXjFLCBCGayF6sCjCuLhCA9EmASML1hU4wgywGFAC88HDDgxKMI+0yt6i4czOkGY+ZXi19qHOkLO1A6ZrQ6O9jh+++03h48Fg1CtF5Q0HKDD1LJlyzSdLRyXnnaU/I4jbvJNmza1ey7Qs5KdQngvqKFf6PDITiaMWmoonCMdNbWjrHpUYGAhjQow6llDO/Oo1icMRjGTjwEgNIqgm4SBPnREVC8wdWDmaF1SjTpq6IDaecZrbQcQouFY9AZEaoZSaOCMGjVKGCW0niaqRwUGX/gdrRHWEbTGM4hzw6MKgz4VDH6l5pgjWVFtDd5RJ+EtIQ0rCHXDAE0ad6BzBoO5DItVwXFBmFwvuQRAe4H6qKfPBYO8PX799VeLgTKMFHphOmgjpLi1Cto2awYj7AuGuvR4hOmdJ645PGdUXRp4OdnyhoLRA8YVeb/iHlDbO/W7yBiLsBisgyEE7bkz4Hu2DGHwBEXdRXmp9xLqny1DmBq2aC2jra1QLUdRj0HbjsKIB08mGAbU6yfbDpw32nGE6qI+4v5B3ZKo3jDS+0gPrV6cCtowNQQW18saWm8M6YEEzxgYT7VaiDLZC4x3QK3r9rxiVC8cbZnBKAuvNNVghGyUzqK2fxK0PWhX1P6CHkhAoaI1Vum1/9pzgveneg5SKkE7+IdBQAv6GZjsk5p58Ni0dp1h3MG9imXGjBk2tTqB2v5CFkHFWoZcR4zHaNdUT1ucu2q4kXUC4d4qaFu0HtwwwtkygiG7rwTh9qpB1xYoI9UorQJDJu5HrX4k7iG9SSkcN55DuM6q95k9DUD1eeqIThyMitLLGuWJ/iKMsnp9ZPQjZPtsyzPRlaGR6nXS0/+U9UbbJuBYtceoeuAxDJO9wLCdkdB7hskRGLKZpk2bGl5++WXz++TkZEOpUqUM48aN092+X79+hoceeshiXbNmzQwvvPCCeJ2SkmIoUaKE4ZtvvjF/fufOHUNAQIBhzpw5Dh3T3bt30ZMwhIeHG+7fv284e/aseI9l9erVhgcPHhi+/vpr8zosn376qdi2fPnyFuv1lv3799vdRm+pVKmS+A0sY8eOFeueeeYZQ7t27cTriRMnGqZMmSJed+3aVWx37969dP2Wdqldu7b5t+WCch00aJDFdrdu3RLHof0+tuvSpYt5XyjDS5cuGc6dO+fQ77dt29b8u//++695/cmTJw29e/c2v4+LixPbqN/9888/Da+//rrN/QcGBto9hgoVKpiPYciQIVa3++yzz8zbNW7c2Lx+wIABhm3btpnfx8bGGm7fvm1o3ry5oUqVKoYbN26Yv+fodVGvR0hIiMVnH3/8sfk1ygj7d6Sctet27dplvjeSkpLM63Gfyd9GPcO1cKZOFStWTHd9gQIFLN7jPpSvcX8lJCRYLQMs2u9rFxyr3FbdtzxXZ++NdevWiX1t3rzZYv1bb71lfj1+/HiLNuSJJ57Q3ddvv/1mOH/+vPl99erVrd7HuI/sHRvqot76iIiINOtwbVEn5fslS5aIc/Px8RHtriwzveuMuq33OxUrVrR5fJGRkYZnn33WoXJ+/PHHxd+RI0eK8kBbL5HtoVzq1atnfr1q1SqLz2TZd+zYUZzPli1bxD5xLHiPZ5DE3jGVLFlSbIf7uHjx4hafoW3W+87SpUsN8fHxhnfeecdiPdoUPPvk+zZt2hheeeUVc9vfoUMHp+umdnn77bfTrJPXFW2QXIfyzZUrl3h97do1Q2JioqFcuXIW33v44YcNUVFRur8zYcKENPdl7ty507QpqHPyeatdWrRoYX6N8sV1sdU2okyxXLx4UWwbFBRksywkqEfqcV65csXpctXWPywvvfSSoWDBghZlqte+y76LegwNGzY0f75z505D3759HT4WtPUq+/btE89kPJujo6PTbL9hwwbztt26dbO5b9yrErQVsh+wePFiw8CBA9Ns/+ijj4ptjx8/bl63e/du8bd79+5Wf6dOnTrmsvj111/TfL5w4UKxX/QjsM1jjz1mdV9qO1m1alWr261du9a8T0fKeePGjRb3gqPP7kaNGpm3/eijj+xuv2nTJsPKlSvFa/UeRf2S4Jmorbu47tb2iXqpvT/lgntdgtfWtsOC3/3qq68s9n3mzBmL5yv+VqtWLc0x4Lli7fjQJrgDYWFh4njwl2FcDcZur732WqYULPrK33//fYb2MWPGDNFWZBazZs3i+8tN+OKLL8R4NX/+/GJs1qtXL8OJEycstsGzEc+dIkWKGPLly2fo06eP4fr16zb3i/4VnnMYL+bJk8fQqVMnw6lTpyy20bObWLMBZUb7na2GMHRafX19DYsWLbJYD6PJ//73P93vlC1bNs3NPXr0aEPdunXFa2m0grFJBQP8V199VXefMJ7gwSsXGGiwj8KFCxvy5s0rjGjy4vj7+4tj0140rMe2jnSg1AGBowvKCceB38BSpkwZsR4dQGlQwH7lvtHJ8PPzMw9mnFn0BlzYD34XFRm/gb+lS5e2MEJhwXp7+8cABYNReS6OHqPcXj1HvN+6dat5mxEjRqQ5Bnnctjpeji5yX45cL9QJ9TfxWnuual3Aa3mOjtYjub3ed3CcOA75244ct9wXtpXHCiMBOrxY1q9fn6ZOyPvD2fK1Ziiwt6AN0J6netyOniOW5557zsJY5Mj3nbkGcilatKi5PPEd+Rr3qLrdzJkzzfe2WsZ6+27VqpWhUKFC6SpDvfOEsUE11OI41WsqjwMPNEd/R3t+esfhbL3BPnEcGIDLetmgQQOLbfCQlq9RP2Gwku9r1Khh8Zl8jfsVy7Jly8Q+1QGxup1euf30009p1ls7L3T+vv322zTrtW0DJnz27t2brutrbXn66acN27dvT3MNtPVLrR/o6MB4p72WttoUeY2s3ZfLly8XZQwjj7V9yPJYsGCB2PbQoUNiX9bKFYZFOSk0f/58u2Uh687Vq1ctjtXWtXZmweSYbN9ttRMwIuM40EY4+0y0tuCawdj44osvWtRvvbL++eefzWVhzXgor32PHj3M27Zs2VIcKzrFMITJZ41eOattmqxvttpa7MvWNYGBHvuV/Qhb7Qy2k3XeVrmuWbPGfG6OlLFq5LTVTmsX2W/BYq3M1DqOc9erk507dzYf76RJkyz6RrKcbR2HWr7qgntH7hevrW2HZfr06Wn2K+u6PBbttcHEpL0yYkMY4w2wIYwNYe5Ct27dhOHzyJEjhgMHDhh69uwpJj8xkSEZPny4GH/h+Yu+KZw40A+wxZdffimelegjHDx4UNhP4FSC/rVqCPvkk0/EpKtc1N/NbENYtoZGIhQEoVJaoWO8t5ZRCettbS//OrNPiN8i7E0uUrgemW2gj4LQMwlCN/X0T6BDA70PLVpNFmcyGqohHnCNR9gRfgOL1ONSBW0RLiAzgSH8AGKu6RFcR4iTFEKWgvoIrcTvIsQHxw+RaGj9aM/lo48+EuFdtkDoBrS45LkgvE9F1SxTNV3Gjx8vzk+69UN4GN9HuJ/cDuu0AtbYZu7cufTOO+84HTqpBeesF+6mBfUarv9qyFzjxo2pfPnyFtup5YfjlmViD1xfhM3I7bFotbdwzjL0BSLTqrYYjkUPuS98Vwq7I+QSWjhY1LAbhL5iWxlC5Wy4hcx8KrEWyqgFIbjaMCWEqeA+1oY0aUNxgoODLcoMYV+qlo0jZS/58ssv01wDa0AAvUaNGuZrLu9L6NKomdEgXq6Gh8gy1ts39gONO2dBXZd1Qa33CGuFhqEEWlWqBtYff/whjgP3uKMg5B3aie+++26aDKgA4evVqlVz6vgR2objQKiZrJdarS41lBN1Qn4OXUk1ZFsVIMf9igVaTNinqtWmFxqlJk7RC3Gydj9AXwohigh9U9G21Qih0guz0tNukudmD4Sla0OqUIe0ukbqNUY5oz3D8wfhxFKYHiG01tpChJmr94UayiafMShjPJOthbTL8oDGILaFlhr29eqrr+puj7BpGQ6Lc9KK+etdB+wXIdbqsb711lvkCvAcQ/uAemSrncB54TjQRsjPtW2js+DcERKsXh/Ubb17F2Fr8j7SJu2RvP7662bBe2yH82nSpImQjIDMAeq6tfqO7du3b29+j2eLfMagPdYDOmtqecm6J4FeIPYr+xEjRozQ3Q9kDrCdvI9sPefRr5Pl4EgouqrrinvS0Wc39o36iXBuPa0uaAGq4YZ4D/0+LdDixPXF8aJNQ1i12p/AsaC/in1BfgS6qehDSXDt1DKWC+qtLAe81ttGLnrJROQ1kaHJ6IeqGWb1smEyTHaBdgtyOngmo56inyL1lBG23rFjRzGmQaj3sGHDLEKbMXbBWAx9DEgZYBtkl1elTvDsQ98cz2eMQ6WcB76L5xUSSOEexYJ7A20CpH8gkYHfRf9Im2TK3u+ivYWcCCR75L4dDYXE+aOdRKZyV2R/ZnIGq1atEvUK8gZ4bqAu4Hkvn5143qGPgmcI7gnIz0CKAZIN1pKcoA8HOwrkC6D5CQkDjCMgI6HqEgM8D9FvkYuUf8oSDNmIdOPGbJ0KQooQMqkHZjX/+usvi3WYDUNYGJAeDZjlVUFYDcJ7nPEIk+E1gwcPtjuDBQspPBTUdYcPHxbeAk2aNHHa00Rd/vjjD7FvddGbiUNIiAztsjazW7lyZYd+ExZZuOTL/WG2Wj0/hDla8+hRZ0qteZwhTESeizp7/8MPP4jfku/hpilfaz0Z4A2H78OzUC8EDQus2vJ3EE4h16u/4cyC8oB3RHq+C5fQYcOGWf0clnVY5FF39T6XnksIw7h582aaOqGGtWHBOhlWgpknNRQF5Y+y1v6Guj/cg3K9nCFWvWTq168v6ojesX7wwQdp1mm9dhAig1BAzKbPnj1beHam9x6RYYR63kqojzLkc8+ePRbniFkHtCfq+b/33nsO/R5mTrTXQPV8kEtoaKj4DKF42s9w3seOHbMIz1HvM5Sx3Pe7775r8d0nn3xShDup62yF/qgLZmTwFzM+aFPxWhumg/ZSfY+QThzHjh07HL4maEdk3dGGjsrwHUfbJLmgnsj7Xu4b79Ee1axZM832MiQMnsRHjx41nD592iGPGvVeRTtubVuEAk2dOtXh48ezCPVOz7NYXfD7CNfUrkdoOI4H56yGSsEzx5qHiVzQBqK8UCflOnhl2foO2hUssh7Ca1F6JGKGz9r3EPYuv6P9DTyzZXuCemXr96WHHp7T2BdCvO2FicLzTRvKqV0Qkoj9oh6p97C6jbw30rOgzmnbB7lAzkFu17p1a3Mdlsvzzz9vc98oAxkul9EFzwj0e9DP0HrbygVeefI1PPjVfgDq6OTJk22Wg2xb8OxSz1MNAcXyxhtvCC9dvecbwjTgGQVvT+kNKvsRly9fNu9DtsFoD2T4niP3POqXbE/UsEdHFkQk6NWf9CxajzTsE88aW9vHxMSkaZfxPZQjFty/8tyCg4PF56iD8IKT7braj8D1RBmo9z3aHIRW4zO8//zzz60eEz5X7z81VB2enfbKgD3CmKwCdRrRP3iu4VkOqQT0S9F2wJMc4V8Yy2GMh34TxoMSvMZYC54yCP/G2AAyK2hTAfqbeCajj3nhwgXR30G/G+AeQfj/0KFDzV4wkArAPYo+Dr6LZyg8yLHPefPmOfy7kCxAO6h62dgDz2h4oiLUGfIXOE5EHHBopHdy2vTMRN0HqP94j+eACtp5jLv1cDRCDx5hkBZBHxZjHkhPqSH66YVDI50IjdRiTbNEb0H4ClwK5UV7//33xfoPP/wwzX7t7Qu6GNp11gyCGBxot8Ux2NOB+u+//4SRAp0fdJD0tkGooQQPBqxD5xMdxYx28tA4o+OsohoCtINlVfsDmkV62iq2ylbVEVLD+vTK2pEFLqNaHRUZ525vad++ve5A3ZFFaqKo56MHjg8GJ4QeAWlkRP1XddCA3uBeRdVuQj3Q1jsY7vQMPxicA63hS6vjgkYSYDCMh7+tjrUji7XwGNxDuDegi6WH1DmClgyYNm1amn1oQ4ClgUULOlDa7aQGBAaB2s9gSFQHPqj/an2GRpTqYqwdNKrb4loAdJisDWi1Cx46jpYvDJbAUY1D7X2ud59iUO1seCcektb48ccfLbbFpIoe9spHG0IFrOkMYoDuaBsgtb8c0WOSx66GcmJBeymBa7pcD30x3FO4/tbC7zFYBjhmtQ7aKgdtm6MaQmC4tXUOeB7BEKJt91CXJarmo7Vnlh5Sc1Jvgd6aNQ1CdZHtpLU6mh7NQCz4bVug7ZATRtBPUlF1GK0tEkfO0d4CbRCtEVyrgapnxJYL+gXa7bUTQGir1DoteeSRR8zbYcLQHhhMYgJVC+qo3A8mQ7XYMmRry1RibUJET9MQhh6gnYySCwy3qMeOXA9tHQR6mo7a49aGA1tDbx84bol6T6tgQCTX2zL4yYGz3mfod2JQrl2P0HL0G6TGLRvCmKwAzyYY19Fv0wKjEgxkaogWnhcwFkldJBikMIhHmy3BRFf//v3F67///lsYrPA7GQmNhI42dCIl9n43PRphCDOH44AK9seGMO8jOTlZ2DYw2SnBpD36lVrw3IYxWQ9HHZO+++47oVWKiVVMtGBMAEkerwiNhNs13OuQEUl1U8V7ZAvTA+vV7cGaNWvM28OdFG516jYI50JmQWv7zAjIegOXQukGDvd9uAqOHj3aoe8jEyXCSBAmgPAbNWwHqBkCVfTcBnEM9twJkdIdmY66dOkiwhK0Lrf4XA2PkmGOCDVCOEJGwbmqmbSA+h6hOyrIXifDCa9du2b1e9ZQXYLVzHLazFWOgrA1ZDRTkeGj9kAZpic9OO6Tvn37itf2XJzh0orsq8iAJb8L4OIK11QVZINRQ8O0yBAoAFdthDEhbEyCeq5m1dRm19SeK66ligxTkSFdavhEekAIhh5//fWXuDdkqKcWhP3C7Rflph4/WL16tQjvQ9Y4uMSroSB69xqypSLUShueYy2LF0JnsaAOIVuZzHCIzGbIzild9LUhw3qZEhFmCZAl0FqmRC3qudpDhqo5UoeRfVPv/kRosQrc721ljXQ0G6BEmzlVW+ck9tpJvZByayF8CEHQC3GyhgwvtpY5USLDxnDvqcgQW6C6pGN/CNHC9bfWTsh9YjsZmmkrwyPuSe2+1HrYuXNnm+eAMkNIujZ0VL3maJtsYU3SQBvOqc0OaC9zpZrJ0RrOhu1KrLU16nNOZoFUQ1UR6marfjv7O46AvpE22yuynarPYjU7ql79VzO6akFfbMuWLeK1Nns1+n/Wnv16oC+g9+xGHUV4E+4VvX6eXjsnM4Bbw9qz0dq+0HeVz0O0L2oGTYSZtGnThpxFPhtthT3L9ljNDmuLQYMGpVknMwRr2xSsxzkh87jM2KzXFwOyz43+t7Ws2jgP7XVGhneEdSHTOjLCM0xWgTEN7nPZR9N+hv602lfA2Aj3uXov4D5X+x0IVZRtOsZZaLPwvH366adFP1LN4G0N9JPQNqJ9R9uLsGftc9LW76YHnK+235gZY2bG/Xn55ZdFZm3YJbIChO4jnBehkxh3ot8IWSpb41NXkq2GMFkASAcNHQTciBjMoVMl0zDjoQ2tGgkGhzA8oaCgp/Pxxx/T3r17zRoR6BBBzwLGniVLlogYb+wDnSepq5WZoBOLxkPVhpLoaWfBMARjGHQV0Oii06FqOamGB0cGcrb0ufQ6Yq+88orokEsND20nSe4Pjb+eNpp6XRwBeiha1M6xduCqGvdULSepUWML6LZpB+cSrZ6Wo0BXQw8YOVCW9gYcp0+fdvo302M80w7ooT0g9UOgv6IOaqWOmNZ4q+qIQcvA0UYRmlB6x40OsHp9tXot9jSOtBpi0HRwBGuaSlrdFnnPqgN9dHzQxuBYUQ+hi1O1alVxj2sNU9bqFnTIrCF1s6DfAkOc3Ce0BRFbrxq7tG2KrXvdnk6fJD2pseV1RQdPT+MH13/RokW635XGOnvcu3dP6IphcKsF7aQ1pAFYYu0a2RrYW0PVK1TvlT59+lgd+KnA0CkNYdBlwrMJaPWzZJsIo6o0Skgc0S4C1rQh1XtB7ks+ax3dj7Uy1QPPDanbZW3gDUOKLdA50qNly5Y2ddv0tOWgC6Y9PhgxMZmmdw1x3zvSfmixpn2lIg3FKAupryXbYkfRGsMdBdoy0nACnVHt/YC6oeqJ2bpf0F/TGsKkDo5kz549uoawMmXKZKgtUoG2G57PekZgvXX2rqs6YJWTSEOHDrWqMwZ9UjlAhtYa7mucE/oFaOfRl7FlvFWBYRLPSuiA2Xs22uqX6aFqUOrpnalG6gULFlC3bt1Ee6deU21fEvqS0kCIMrA2SYnnqXbCy1FtUIZxNY72k2yh7ZehrZHtOdpn9OugmQdDFe4j9F9sTf6hn/3mm28Koz4mYqGRiWe0Vo/Z1u8yTHoZMWKEGM9Cx1V9PmOCA3VQW3eh0W1Nj1WuxzaOfgfAIAvHhqzSk8x2QxgMQOiUoYGAoDduehi6pNg9rODq7BM6v/DwgIUcDcrChQuF6JocfEsvKnQ+IGyIgSs8ObBPR8SEbaFn3HKGzZs3O7Qdjl3OAFjzktEawjp06JBmsKZF60knG08M6jEQgEFswIABVh8UV65csSuKbQ+92RB0EHF9ICqMzp8qeI7Bibxu6uDJEa+Ohx56yOK92jnTnqcKvBzw8FLPx573GX4LIoLOzOY7AgYgWlFBZ1BniJBwQW/gCa9ADFS0hjDUDbUMIbzpCHKArfXQwgBCNV5pOyHoKNgCwowqEGB0BEeFQiXqNdQeI9oAGDG2bt3qtJcVOjdatB6gzpyH1hCofq4+wGzh7OAT11QOvFA2SFwAg5UEM6Aw8KAtd+QctIM/iNrDswn1HskPtIkvMKCEUKc1YOxWPVf1kpU4e95abxlt2wMjgCrOrzXGaesvDGHqswDtjGqMwmAbXlDSaADh9P3794vJHUz+qFgTjlePAV5N+B7ab/X5IOspjI7W0JuR0/P+sWagwznoecupnSl7hjBrdQmGBz2DlzVwzbTXBuUCgzM8oVGfVWOYnAhAu44OoOodBq88PCPU+qxeU0eMZ2odcsR7Ta8fYut5b4umTZuKWV95jbUGT9x/MFrDYxOGE3uGMPlch6ED3gzWknhoDXdqW+mIR5grseeBLCcw0LdCcgC0+zgva4NneIXJ78AQhrYMfRZ4PEm0k3kAEyu4t9UIABgpMViQ3vm2+hXSs82a96sjxlMYwtAOtG7d2qL/hX6PXiIQrfENbZhqILTm9SLrKxLNZNd1Zxh10hL3s97YCG087i31eYeIANRhZzyFce9iTIFJvUOHDonB/fr1682TStrnI34D41xMimDyDP28s2fPOn3R9PZtC5wvJutVrImgM56HwWAQRjBMYqN+IrpOBR6K6Huo9womPWCnsOY5mN4IPdiBcJ85+kzLMBkOwvRArGmEIV5cfQ+BQmdRNV3mzp2b4UQDcoFeisRRDQxHULU3bC3YThUAtrZAkNER5PYQkoQWFV5rBYTPnz9v3l5qS6gLdCy04DvQqbBWThColqji8noi5LiWUtPJlvYQUs47UobaBelmEaudEdQEAXLBMTpKeHi47rHpaYPJBdoq4J133rFYP2HCBEPXrl116yN0snC+6vZqogS5vfrelrYRtKIQ4y6FSZ0BAqUZuWe0xymBoHFG7knoPcjvQa9K1g25DiKntrTKsOAehSClfA/dRGfqpFaDEHz66afm9xCctQc02PTEwPXAOarbQNDbHqhLSCaip/8kgS6So+esAs02iINC4wnCt/gcGhrjxo0zbw8Baj0hfJmEBQLsqrg4tINGjRplfu+MPo6avEI9VmgtDBgwwEJPTFtG0BzRHqOeJpYWVStILhA4xzlAFFite9Ad0StT6KNBQw7nLoW0oSMFIW9cY7kddAbtgToCjSF71xHJJQD0w9T10HzR08LC9ZLtEv7KBCBSAxGoyQmkyDgE4KWGjC1ULTDoTkHf0dbxQ78FCTcgki+Rz0ZnFyCvNbRkIPaufq597mj7RBBhRoIivMbxyDIdOHCg+Tt6vwudERVVNwvJQDITVbBdloGqBWhNMFir7wM9E3vli+upBXVIasjKBe2UBPeDLQ1QVWtU73o++uij5vc///yzzbLQfh/9LFWvTb1ejtQn1BcIbDtS7yRI7oRFr56xRhiTVXz88cdibPf7778LLVzoaCL5DfprEMvHcxLPPGgMV6xYMY1Yfq9evSz2B80vaH8BjBHRB4WuKvQNcV/ieYPkFwD3HTSWMC6BZjPuI2wPXbFVq1aJewp603gvdQgd+V2AMSH6IUgkgn3bA+eNY/vmm28Mp06dMkycOJHF8r2IF198UfRlkSRFJljAoupHIjkD+r+4F/bu3SuSPWBRgebpP//8Y34PPVhofkELFolSUG+RdAJ9V4AkeBjboP8DjVvo7UL7dNCgQd4hlp/TDGFqp7NRo0bp2rfaEcoIWuF6DEQketkA5SAgPdjLeCkNKxDFdaYjZAu5PQYf0ngiM6Th4SRFnyV6mRztASFI7Xdwo0tUMWutkQ9GHj0wqNDuc+zYsWnWaUW99RZ7wviOoCe8/NRTTzn8fT2RXgxu8UC3dtzIbgnQ0KnbYZCoGhdV5IDzzz//FNtIoXWZqQTZIEHp0qXN37eWXRPlnVEgGIyGOb1Yq4fpvR+0xhu1bsCYJY0zEjUTprrgHlUN+tYMZtYWdM5sGcL0BPIdKSNbZVGgQAHzNhDUtIdqvLCGmgXP2TZLlr16b0gjiUxugg4EDLEYSL700ktCNFR9rsBoKV9DjBeGBfne2Ww5MoGFo8lgZBnpZf0F2vtKD9yn6jaq4K+1+1Jd0J7CUKeug4C/LNu8efOmSRZhC3wPWYds/SY6evLZiQGN3jaqoV5mJZV1Cd/DeatGroy2187ce3rYM4Shn4JnvzYhAZCGN22mUSRdsPUcgQFNO6knF4g6WzM86d2/ajZRNYFCZg145W/JxCiyntlqf7RoEwvoLXpJOmRdwqAXRj9nhKxl+1+pUqU02bPlscvkEaij9nC0zqltu7VFTn44MmlqDzaEMVkNjE/os6Lvjkkq9KVwrwEM3JHoAmMgTCDCcIVMtY4apJCBEq/R50JbgwkHNfsjDF1oR2U7hLYBzxlMLMAoAQMCnltoL5w1hGGMhN9DMgBH2zdMUmKSG8cDw/i3337LYvleAllps2fMmGHeBmM69GdRn5F8DZMv2oyk2u/guYBnJvpnqIsYg6DeS2CkQn8Q9R33GZJD4f7DfZBR2BCWCYYw7UxgdhrCgNxPaGhomox42mOHl0t60XrCaRc0lkCbWQ+DTW3mJUfBAFKmWtf+HgwlWqTBxJnfQpnhwaZ62qgzqZ07d7YoY3XfyHCoh2qoefPNN8UAWS8LIRoHPBCtlWmtWrUMrkK7b2eMFXjo6xlDbBnC1A6+2jmGgdaeIUxrvMD3kcVUZh1ZsWKFRRnq/T5m87IbDDyRHVDNOKSX5c0Z1HtJi3YQrucJiEX1GsCCAa52HRbM2MjX8NTB4Fi7zZgxY8RvoROZnvNRs5iqBmhbxmWZvTSjhjDMWMl9IjsUjIjODt5gsNJmkpOZPK11uKUHijRgIDW7NhNjeoCnnjOGGJQNOs7WvGHVDK96aLPwoZ1T0fMuwYKZbWsepTA8qZ448LKzlm1LD3gmafeJzMLyteplYi0DqPa626tL6b2X9b7vyPFogbFV/dzWZA06sbjmMPJrM4c6MmmGZyyMrhJ4p9n6rtZ7FFl9tXX0+PHjTnmTZgTV61JmiZOZO525fqr3OTr0ega/0aNHp6tdcgS13VGPXRom0ZbYQ04qumKB54zE1nbwILAHG8IYxnuQ2bbteewwjMdmjcxJQKfKUUF4W0A7wlUgjhdJBiB2ay97VEZEIbXfhU4PhIclUstG1RGBHhLEVb/44gsR345EBdAAcxTsXwqwanWU9ATn03N+KDNosSG5AvTRkBkJ+jxqIgOpk6EtX2uCuarWC5IeQDtNq8kBzRVoy0A4F/o/iKOGKKZKRoWDremwINOMI9k2JXq6ehDP1YofWtMLkskrcA2hy2Yts6M18H3opEj9MAiHQ4sHCTKs6U25g+YIri2OU6tjB50ZqX/oLLZ0erRlITMTAtyDqnaYKnaOrEPQXMRxST0a6Gao34eei159lEkX7CWtsMaZM2ccSl4BDZ30aKrZQs22BFF61BlozqFu28pyqdX+kPeW1E+01Q5B80C2BTJjoGwTkRQFGiJyvbNAS8FZLTytrpeqp4YEALbQtmnaNsWaRpZ8Vuhlm1XrJXRRoD3njBg8dL6GDBlisQ7t64oVKygsLMzifB3VF7SHfEZkBmo7hoxjenz//feirKQmFzRo8NyBro2qwyTbcuihyQxp1jRTtZmkJdDmUzUjpc6NNc061ElV3w26cNo6ql4T9T7PDGSiDuieyUQUsp47mngFQM8Pml7QIsQxjxo1Ks021voHrgDtDrKTa4EWLnDknkEWT+iBZbbWGsoVzy3UBWj6MQzDMIxbkS4zmxd5hI0cOdLCFVad3UwPmA2EayE8RjIT7WytGjblLHDHV/d19OhRi9lUqdUFXRoZOudKVG8Ja7O3Wn0VxPVnFMy8IoQR8fKqJ5MtfThrHgXwUpLrv/76a/P28IKQoVDwglD1YFwFYv7lfuF26izqOSHEC+C+sDbzqzcjLT0BWrdurXsN0ztbrvf7iF93Z6A91LZtW+Ex6QxRUVEi9E7VlbEG3OL1wnARflS5cmXdawDdQXisQheuaNGiFtvohWCp13bSpEkO6/+pzJkzR4Sj2WqfZCiSo3XXkboE7wRrbUmdOnXMIWP2kCF2CLWSoUS20JYhyjk7QNmo7QIWXHf1msKTFdoo1lC9QtFGqqihn+qi/U1bbXp6wf0h9wntMGvY8l7Jly+fQ3UJHp9o76TehbPAg9DaMagaiAgrdzUIadD+ZkZCmxFSpKV69eo2ry+efdAUgQd0Rj2lHAF9OdUrDX09PI+h35Ne9Dy79bQpXeURpucBiesmPWedaYfhcWnrPnBkUYEXtPoZ+o74DdVrzBbsEcYwmQPGMHiu6S3WIlwyG/YIYzITDo10oSFMBQLM6HC4+2AbHT41JE8VvHMWOcjDsmTJEovQQoQVqR07hMxkVOBdC0Lj1M6VnnYTBmLycwhxuxo1HAJ6bNbOUW6DWGdt5xfGrdy5cwuDgzXk92EsdRXqoFTVGXAUtezlecMgpq5X9dQgtmiNrDCEaQV4PQVny+jvv/8WoqyqDhhi97HIa2YNNYQToO5mluHCHjA2wJjnqGabo+U0fvx4UUZaEH6JEC9Hfq9x48Z2B8Aq2jJEqG92gLJB262d3HAGDL4xGYJkILYSTqiGHWuyA66sT2oCAdQba9ga3MPAmRnGC0eOAxNKMkwUE2YIZ3RWNy49+pH9+vXL0HGjbdeihsjaOg5X6IFkF3ph6Li3tLi6LsmJR7nIyQtn72W17+TIgkk9NaGFLU1R6MI4AxvCGCZzgGg+Jtv1FkyyZgdsCGMM3h4aiVTSTz31lHCPR+jNc889Z3bvtrb9K6+8IlLXIgQFIXpwxUfqZxW432uXuXPnOn18CGsaOXKkxTqkX0f6W6TUdmfgjo4wMkdThdtCTdGuhibhmmnTm2JdelO6W0MNmenVqxfVq1cvzTZqOMBHH31ErgahFLNnz6aLFy/S1KlTrZ6jTAmrFy6xbNkyEXJWqlQpq78zffp0ateuHX3yyScuO3Y1nCU4ONjp7yMkBuC45HkjvbMa9qeG4TRp0sTqviZOnCjCqPA3s3Bl+HFOBmE/CIVVw/Vwvw4ePFiEbc6fP9/qd7WhPdoQT7TDWQV+G7+nd99nBLTteiGAlSpVEve6I7+nDQl0JuzY2ZAsV4O6gNBPpMtGCKGz4FwRCv7vv//aDbsEbdu2tRq2ZS+03xnUZ11KSorV7WbMmCHCDz/44IM0xzVnzhzKDnAsdevWNT/zEGKNcEaEw7kahAdDvkAya9Ysp76PEH8VvbK2Fn6pPY6M9E+yG72+QGaGRkpq1Khh8R6hp/ZC6PVAWLrRrul4aKjsW9auXTvNfazuy9lwbYZhMgeM3dDf0FukZAHDeCOu7105AYxg165dozVr1lBiYqJ4wA4bNkxo1uhx9epVsXz77bei4w6jxPDhw8W6hQsXpunkqvod6dFcgoZNiRIlKKcCXSUM6NAxyohxCuVsT/slM2ncuLHQrzlx4oTQRNMD10nqccFA6mrQWVd10ayBQeW6devo8ccfT/MZOoX2Ovy4B7C4EhhD0GmGpkl6DBg4H2ggabWtYPDauHGjeA0tGDkQstX5xXYYPLuqgwztucWLF4t6gcEHBpHc+bZEawhD+bRp08ZmuWoNGdoBbWZqI+Uk/P39Ld47+5zJjvZUBZqI2nNwBmvf1RpODx48KP5auzfDw8PJVeA3ypcvL55bMN5bA3piMApj+88//9zis6ZNm1J2oJ1Yymzi4uLMr52tB9o2RM+Y4kqtS3dF1RvU0+XMLHC9YHiSuqTJycnirzO6eiqYQITWXEREhNVt3n77bdGXxIQaJqatGTqhofbxxx9b1ZtjGIZhGK82hGFQvmrVKtqzZ48wdAB4icDjCoYuPa8ZzD79/fffFjP36MAOHDhQiHCrs6bogGXUiJWRAYK74Ijxxh5qBzc7OrYYqOzYscPuduh4ZTcwFrmizF3N/v37hcE4NDQ0Xd/XEynXenE4aoBypaFq3rx5InkCDONsAHPMEOaogQTetlLgWDvgyckeHK5Ea/CRHqHWuH79usVzSW8Q7Qlo64fqOQLh+kaNGpnfI1GDI55DzrBp0ybhKQ7DuC3coc347bffzElasjrRBzzC4Kncvn17p7+rFbdXE82oz2R4n2KC01PJLo8wgCQ7DRo0sFjnrEeYBF7ouF56bRIS3mDSCZ7gElt1FZ6Nb731loU3P8MwDMO4G9kWGgnDBowq0ggGOnfuLDoVu3btcng/6OzCe0EbOvDyyy+LWSvM7CLczBnXb8YSLjvPGJgiO6UrB379+vXL9iyN6GjD480dBrTuSkJCgtOGsBEjRoiQN5nVkA1h+qihZTC62AsxgKFcHUx6Ktr7UTUWwLgKTyw8s2GESU9Ypj3gEWbPCKYyefJkiwm2rASSENn1rMV1WLt2Lf3xxx9OfxdtArxxYTxBFk54+GvBhCY8ud944w3yVGBE1E4Q2grJdSXwsO7fv7/LJnBxnyIS4tixY2nCLuFd6cy+2QjGMAzDuDvZ5hGGmXHtoAwdYwwk8JkjREZG0qeffppmthEzW9A1wqwcZsxeeukloT2mpvZWiY+PF4sEOk4A4ZpYvB21c66Wh3zNZWQdTy4j6NcsWLBAdMYzen6eXE6uIr1ldPv2bfNrzPY7+n2pA4PtZZsowYDIXa9VVtalRx55ROjjIbwfHs2O/CY8gGBExnMru8owK8ooKipK6I/A8KX9HZTBr7/+Kgxm7lCPWrVqZX4NaQZt+WT2MSJkHQYp6DlmdXlAuw2k53fhwd+lSxdR/+GV740TEphkunTpEt24cUPUd0w4wditLc/MqkvaMMyM7l9PWiKr2nt3aAsYhmEY78HlhrB3332XvvrqK7thkRkFAzN0GjGbrA2JU8XS4TYeExND33zzjVVD2Lhx42js2LFp1m/YsCHLXNzdGXRwJStWrEjzOTrBjG08tYzQQUZoExZX4Knl5EqcLSNcI4TLIJRJ7/51hJMnT1q8P3z4sMMTFtlFVtWl6tWri+XUqVNicQSpSZXe65FTygjGLhhfs/s87SGFxsHly5eFdmlWllOnTp3EsnXrVsqpcNtNwkPOXlm4upyg1aVOJrvqXnvzzTeFTAmA3l5W3MOxsbGZ/hsMwzAMk2mGMGTLgwitPYFg6KRoRTlhcMFD3Z62171794RYM0RBIU5uz127WbNmwnMMXl962jbvvfeehes+jGzIPIfMkM5mAfNEECoiDR2YAVZn79Cpw4ywJ+ipZQZcRlxO7lCX4L2Hti+9HhsIYdu5c6f5PTyaVO0xd4LvOS6j9Ho+Y+ILXn5cl/h+yyntEkJPZbIoZAJW+2gZQer1Su9gV+3XFlrPY4ZhGIbJUYYwCGg7kgodosKYhVWFc9evXy+0FWC4svWg7NatmxjULVmyxCGR3QMHDggdI2sCz1iv9xk6K2zgIfrxxx+FZhAyCumVB5eTfbiMHIPLKXPKKKPtGLx8z58/L4xh8BTQZpV0R7gucRk5g60JPK5LXJdchavrktrfhrSIK/e9bds2kdQKmrtZ0Rfm/jbDMAzjFRphNWrUEF5dyDQ0ZcoUMVsGY8uAAQPMGSOvXLkiwgUg5ArRexjBunbtKtynZ82aJd7LGSR0BhCCsXTpUqHV0Lx5c2EkwwzcF198IQZvTPqA3ppWPJVhGO8BAyxoGDEMwzDuA3TJJK7OvgqtM29I7sEwDMN4J9lmCAOzZ88Wxi8Yu5Ctpm/fvsL7SALjGLRppG7Avn37zBkl1Yc/gLdCaGiomFGaNGkSjRw5UoQ6YLvx48frpvZmGIZhGIZhmJyImuiBMzUyDMMwTA4xhMHLABmarAHDlpqxEGmq7aUXh5cZFoZhGIZhGIbxVBAJgQgJTBojgzPDMAzDMDnAEOauSGMbRPlZs8A68NiDtx7CU7mcuIwyAtclLiNXwXWJy4jrUtbB91v2lxMSPGBBnzUnI6VO7E14ZzWuyHTPMAylieTi+4vJ7nY7l8HdnjhuwLlz50SmRIZhGIZhGIZhsptjuJUAAItbSURBVIZLly5RmTJlsr24w8PDhZ6xlGdhGMb1Hq3JyclcrEymgEzgMIiVK1fO6jZsCNMB2SyRZRIPwYIFC2bO1fEAMHtXtmxZ0WnJCVnksgMuIy4nrkt8z7kb3C5xOXFd4nvO3cC8PLzakDALusHuAMYBkZGR2X0YDOORxMfHU0BAQHYfBuOhBAcH2zSCAQ6N1EE+gGEEYwOPfVBGXE5cRq6A6xKXkavgusRlxHUp6+D7jcvJFbjb5DMGUfYGUgzDMEzOxD2mXBiGYRiGYRiGYRiGYRgmk2FDGMMwDMMwDMMwDMMwDOMVsCFMB8QrjxkzhuOW7cDlZB8uI8fgcuIychVcl7iMuC5lHXy/cTkxDMMwTE6ExfIZhmEYhmEYhmEYhmEYr4A9whiGYRiGYRiGYRiGYRivgA1hDMMwDMMwDMMwDMMwjFfAhjCGYRiGYRiGYRiGYRjGK2BDGEMzZ86kQoUKcUkwDMMwDMMwDMMwDOPRsCGMof79+9OpU6e4JBiGYRiGYTKRIUOGUK5cucSyePFiry7r0NBQc1ncuXMnuw+HYRiG8SLYEObhJCQk2N0mb968FBISkiXHwzAMwzCMd3Hz5k168cUXqVy5chQQEEAlSpSgbt260bZt28zbeJNhqHv37nTt2jXq0aOHxflfuHBBvMZfaSDCUqRIEWrXrh1t2bLFYj8ff/wx1a9fP83+5fcPHDhg91gOHjxITzzxBJUtW1b0B2vUqEE//PBDmu3i4+Ppgw8+oPLly4trCCPW9OnTLbZZsGABVa9enfLkyUN16tShFStWWHzevn17EYUg2bNnD/399992j5Fh3A1u0xgm58OGMA8DnYwRI0bQ66+/TsHBwaKjOX78eNEhyZcvn+jovPTSS3T//n2roZGyY/Xnn3+Kjk7BggVpwIABdO/evWw6K4ZhGIZhcip9+/al/fv30++//y480JcsWSL6K1FRUS6f3MsJSGMg/tpi7dq1wmC2efNmKlWqFD388MN048YNlx5LWFiYmAydNWsWHT16VBi73nvvPfrpp58stuvXrx+tW7eOpk2bRidPnqQ5c+ZQtWrVzJ9v375dGNSee+45ca179+4tliNHjlj97WLFigkjH8N4a5uWWXhKW8kwmQkbwhzEYDBQbEJSli/4XWdBo5w7d24x0zplyhTy8fGhH3/8UXRw8Nn69evp7bfftrmPs2fPipnZZcuWiWXTpk305ZdfOn0sDMMwDMN4Lwh5gyfTV199RR06dBAeRU2bNhXGlv/9739iG0y6gUcffVR4Msn3cmJu6tSpVKFCBeFpJPf5/PPPC0NKUFAQdezYUXg2SfAav1WgQAHxeaNGjWjv3r3is4sXL9IjjzxChQsXFhOEtWrVsvBcguEGnlr58+en4sWL09NPP02RkZHmzxcuXCgmF+E9VbRoUercuTPFxMRkStlh/zCY1a5dm95//32Kjo6mXbt2ufQ3nn32WeEBBo+zihUr0sCBA+mZZ56hf/75x7zNqlWrRD8Q5YTzxfVp0aIFtWrVyrwN9gFPt7feekt4lX366afUsGHDNAY1hvHmNg38+++/4t5Ae4Z7buzYsZSUlGT+HNtPnjxZtENoZ7AN2h1nHSEy2p4hjBvGbByfbGuHDx9uYWSDp+irr74qjOk4n9atWwtPT8nGjRvF+cCI3rhxYwoMDKSWLVsKY7oj7TXYunUrtWnTRhwjHDrwe5nV5jLehV92H0BO4UFiMtUc/V+W/+6xT7pRYG7nLlOVKlXo66+/Nr9XZ+zQEH/22WeiIfv555+t7iMlJUV4iqFRAmg40Yh9/vnn6ToPhmEYhmG8DwzAsGByrXnz5rpeUBg4YSA1Y8YMYUzx9fU1f3bmzBkRPgfDjFz/+OOPi0HRypUrhdf6L7/8Qp06dRKeGfAweuqpp6hBgwZiMInvIETQ399ffPfll18WAzl4WcEQduzYMXF8coALoxqMbN9//z09ePCA3nnnHeENhUlEeGfB6wl9LAxw4SmPAbGctMSgDwO68+fPWwx8MwqO448//hCvMdGZ2dy9e9fCUwveLhjE4rwRLYByw4Afxi5cB7Bjxw564403LPaDwbi3hLsy3kNG2jS0F4MGDRIOCjDuwPFg2LBh4rMxY8aYv//RRx8JBwQYmHHPITLn8OHDwshsDTg7IARdhpxntD0DGPvBwIW2DSHXMJLDYCbHg3CsQPuM34ZBEPvCfY92W21D4Gn63XffCYMaxqAwwMvjtNVeo3xQfhi7IhQbIakw+GFB2TJMRmBDmAcCS7rWtX7cuHF04sQJMZuIWYe4uDiKjY0Vlnk90IGTRjBQsmRJioiIyPRjZxiGYRjGc/Dz8xMTa0OHDhVe6vCEgPcRBnZ169YV22BwBCDTAA8oFRitYASS28A7YPfu3aJPIgeg3377rRiUwrsBg8rw8HDhmQS9KjlBKMFnCGuCFwSAt4UE3ksYkH3xxRfmdRh8wQsBRjbISqAP1adPHzHoA3I/AH0qTD7KQZwz6EUAwHMCXv3or+Fz9O9g8FPB4Fga8mzty1EQ4jhv3jxavny5ed25c+dEuWNAvGjRIuFRApkNhIHJwej169eFx4kK3mO9BINphvHmNg3eVe+++y4NHjzY3P7AoAyDkmoIg7EfBiyAz9esWUMTJ0606cSgdYSA8Sgj7Zk0vOM7aNvgPfvJJ5+IthXHBMMajFcoC6l3+Ntvv4ljRQg1tpPAcIYyAjj/hx56SIxF0abYaq8xfoWhDJ5u8jMYEbEv/Lb0EmaY9MCGMAfJ6+8rvLOy43edBTN1EljvoSmBGQI0QrDOozMDDQd0Lq0ZwrSdOLi1wkuMYRiGYRjGGWB4wsAH3gY7d+4UnlwYsCHkEeE3tsAATQ4qZRgNBnDwSlDBoAzeAwCeSRhEwpMCoT4YVFaqVEl8hrAa9IlWr14tPsOxycEr9r1hw4Y0hiWAfXft2lUYojBYhNcD3j/22GMizBIgPAqTjq4CBikMDhHehIEyBpza/hkMb/DYUrly5YoIlXIW/E6vXr3EgBznJkH/D/3A2bNnCw88AP1ZnDsG5tIrjGG8hfS2aWhj4AmlRtgkJyencVBA6LEK3ttLfqF1hMhoewbq1atnMVbEcaD9vXTpkvAcTUxMtAiRRvuEdvD48eMWvyfbWOlcATCZgQQqttprnMOhQ4dE26Ma+tEmwfPWloccw9iDDWEOgg6AsyGK7gBEUNFYwB0Vs4pg/vz52X1YDMMwDMN4EZi579Kli1gQ9oOBDwwu9gxh6uQewCAMAyk97yKZ+AfaYk8++aTwasIAFb8zd+5cEf6D38WgD5/BGAaPA/SRXnnlFbFv6IdB+0cLfhNhO/B2gNcUvgsPDYT8QLcLGmauBp4b8IDAAs8NHD+MVWooFjw2KleunMZjxVkQIopBMTzqPvzwwzTnXrp0abMRDGAAigHp5cuXxfHB60Ur5I/3Wg8/hvHmNg1tDLzC4IWlt7+MoNdWukt7phrwMaYG0sHCVnuNc3jhhRfEBIYWGNEYJiOwWL6Hg84RrPVo3ODaDms73HgZhmEYhmGyi5o1a1oIHmOgBM8IeyAMCeF2MPagj6MuEImWVK1alUaOHCkGeBh0qnoyMDBBpwa6Y6NGjRLhPHLfSCwEeQjtvuUgE4M4eEBgMIuscTBEIVwws4GnBs7ZVmhUesE5Q9sM4Vp6WrA436tXr1pkHEdoFSZYy5QpY/YUgZ6QCgbZWs8WhvHmNg1tDITite0LFumwAOBlpoL3zno/uaI9g0cWvG3V44CHGdpQeG3J5GwSjDmhj4aycAZr7TXOAUZ6vfLKCr1ExrNhQ5iHA5dWuK9jNgBZh+BaitlPhmEYhmGYzAY6UhBsnjVrlghxQTjLggULRBgRwvAkGKzBkAIj1+3bt63uD6EzMK4gmxkGTZCAgEcDPBmQaQyDNggpw2MMGSIxSMPATA4ioTXz33//iePYt2+fCB2Sn0FI/9atW0JAGt9B+BC2hUA0BrTwlIDeDn4HujYwpEG8WX4f2mUIZURooqvBgBVeERDQRgiVq4CHGYxgCItCiBLKHwvOSwJvDYSiohwwKEWiAWj6QPBahkW+9tprIrskvOsQHgovD5QTrgXDeBIZadNGjx4tNA9heIKRCiGE8H7SemFif9DmgsEZHlJoW5y9lzLangHI6EBOB/c9ssbiWHAcMNrBmIYwc7QFuPexDXTT0D7hO45gr72GuD/ad2yD0NDTp0+LrJvcrjAuwcAwDMMwDMMwmUBcXJzh3XffNTRs2NBQsGBBQ2BgoKFatWqGDz/80BAbG2vebsmSJYbKlSsb/Pz8DOXLlxfrxowZY6hXr16afUZHRxteeeUVQ6lSpQz+/v6GsmXLGp566ilDeHi4IT4+3jBgwACxLnfu3GKbESNGGB48eCC+i9eVKlUyBAQEGIoVK2Z4+umnDZGRkeZ9nzp1yvDoo48aChUqZMibN6+hevXqhtdff92QkpJiOHbsmKFbt27ie/h+1apVDRMnTjR/d8OGDVCpN5w/f95qeQwePNjQq1cvm2WG72M/+/fvt1gfExNjKFy4sOGrr76yWT7Wvq8H9oFttYu8BpLjx48bOnfuLMqkTJkyhjfeeMPi+oH58+eLMkG516pVy7B8+XK7vy/L7Pbt23a3ZZic3qaBVatWGVq2bCnupaCgIEPTpk0Nv/76q/lz3A+TJk0ydOnSRbQzoaGhhnnz5tk8pnbt2hlee+21NOsz0p7Jtmr06NGGokWLGvLnz28YOnSoOH8J2lW0xcHBwWIfrVq1Muzevdvm/Y12SbaT9tprgP2hLPD7+fLlM9StW9fw+eefO3HFGEafXPjPNSY1hmEYhmEYhmGsAf2gO3fuiCyXjDGTJDzS4DEjNd4YxpuB9yfCE+H1mp1wW8V4OhwayTAMwzAMwzBZxLJly4TODv56M7Vq1aIePXpk92EwDMMwXggbwhiGYRiGYRgmC4COEDS0oHcDT6jMBkkBYHTTW/BZdgLNocOHDwvdn6CgoGw9FoZhGMa74NBIhmEYhmEYhvFAIiIiKDo6WvczGJ9CQkKy/JgYhmEYJrthQxjDMAzDMAzDMAzDMAzjFXBoJMMwDMMwDMMwDMMwDOMVsCGMYRiGYRiGYRiGYRiG8Qr8svsA3JGUlBS6evUqFShQQKSwZRiGYRiGYRgmczAYDHTv3j0qVaoU+fhk/zw9jwUYhmE8+3nChjAdYAQrW7ZsZl4fhmEYhmEYhmEULl26RGXKlMn2MuGxAMMwjGc/T9gQpgM8wcD58+epSJEimXd1cjiJiYm0evVq6tq1K/n7+2f34bglXEZcTlyX+J5zN7hd4nLiupQxEpJSqOGnayzWfft4XepeuyTfc+kEmS0xCS374NmNN40FvOWZ4C3nCfhcPRNvua6JGTxPR58nbAjTQYZDovCQWpqxXkkDAwNFGXnyzZgRuIy4nLgu8T3nbnC7xOXEdSljLD90jXwCAsXrYW0r0q+bz9GWi7HUr6V+n5HvOcdxF0kSbxoLeEv99JbzBHyunom3XNdEF52nvecJG8IYhmEYhmEYxkGu3X0g/pYrEkidqocIQ9iOs5FCl8RdDDkMwzBM1oC2P8VAlJSSQskpBkpKMVAKFgNRikHz2mAgg4HEdsb3qd+X6wzKtnIb7CMxKYlO3c1FQWeiyMfX17Qt9k+ULF+bv2vcL/aJ/RlMx4m/+M9A6nrL96aTSv1MfW3aj2kTq/uR5eLwbyifJScn09mLPnT4v1NC40vdj/xd42mk/pZ6LeJj7zt03dgQxjAMwzAMwzAOcismQfztWD2E6pcrRHn8fSjyfgKdjrhPVYu7R2gfwzBMTiIxOYXiEpMpLtH4Nz4pRazDgnD0BPEaxiDTOtP7B/GJdOBaLrq+7QIlUy5KTDKYP09Q9oFtsS452WioSk5JMf2V71OXNJ8nW1mvfCfr8CU6Fkaejw/R1Qvp+mZKfKxD27EhjGEYhmEYhmEcJOq+0RBWJF9uCvDzpSahRWjL6Uj6ZOkxmvV8My5HhmE8CngjxSYmU2x8EsUkJFMM/sYnUSxeJyRRbHwy3RfvjZ8/SIAhK9WoZTZwmdbFy3VJqUavjBmTfIkunCJ3xScXka9PLuExjNc+4i/eG9cb31Oaz5HwUN0W/sYx9+9ToaACwlNKfi6/56tsq34fYBu8kvvJpbzHmtT14p3xr+m16Z/VfRj/U76nsx+rv6GEMMr1BkOK0GesVLEC+fr6mn9Dfkf5SeV96j7iYu7ThxPsXxc2hDEMwzAMwzCMg0SZPMKK5s8t/rapEiwMYbvOR9Gd2AQqFGhczzAM4w5GrPsJSRT9IJGiHyRRdBz+JlJ0nHHdXfE67WfCqBWfLP7C4JWVwMsWkwy5/Xwot68P+fvmIn/x1yd1nZ9xnV8uosibN6hc6dKUJ7evxXbye/I7fj65yM/0FwYoP1+j4cjPx8f4Hut9TX99NOtN2xtfp+5DLup3YIASf03GLVdqZ61YsYJ69mzp8RphK1acpZ7dq6VbLP9DB7ZjQxjDMAzDMAzDOMitmHjxt2g+o8Hr+dYV6Ye1p4UnxPy9l2hY20pclgzDuBzoH8EohfBsscQm0K37CXQ7NkEY6G/HGP/euh9PlyJ8acyBDcK45arIPRh28uX2o8AAX/E3X4AfBeb2Nf/NH+BHeXP7Ul5/X8ojFh/jXz9fCpCvxXvltWabAD8fp4xHqcahOh5tHGJcDxvCGIZhGIZhGMZpj7AA8dfHJxe91rkKfbHihPAMY0MYwzDOGrjgkRVxL45uRMeLvxH34ikiOp5u3Iujm6Z1+OxBoqPeWTAmJZrfwSMqKK8/BeX1o4L4mwev8dfP9Nf4Gf4WyOMnjFqBuU1/TYYvGK04IQjjKbAhjGEYhmEYhmEcBB4YUiNM0r5aiDCE7T5/S4QSYQDJMAwDINZ+/W4cXb79gK7eeUBXsOD13dS/0M5yFIT6wSO1iLIUDswt1hXOl5sK5vGlU4fCqEfHthRcMK8wbsHrimGYVPgpzTAMwzAMwzAOAAHoe/FJ4nVwPqNHGKgSkp/KFslLl249oI0nb1LPOiW5PBnGi7gXl0gXo2LpfGQMXcASFUsXo2KE8QteXQYHwhPhqRVSIIBCggKoeIE8VCwogEIK5KHipr/4rFiBABGGaMszC+GCKReJqhTPz+GCDGMFNoQxDMMwDMMwjANAl0d0oH1yiTAiCQalPWqXpF83n6MVh6+xIYxhPBBkNrx0K5ZO3bhHpyPuK0avGIo0eYra8uIqXSgvlSqUR/wtXSiQShdOfV88KA97bTFMFuL2hrDNmzfTN998Q2FhYXTt2jVatGgR9e7d2+r2GzdupA4dOqRZj++WKFEik4+WYRiGYRiG8VSilLBIrUdG99olhCFs/YkIOn3jHlUOyc96OgyTQzW74N0Jg9epiHt0+sZ98fpMxH2KT7IewhicPzeVL5qPQovmowrBgeJ1mcJ5hcELHqTQE2QYxj1we0NYTEwM1atXj5599lnq06ePw987efIkBQUFmd+HhIRk0hEyDMMwDMMw3iSUr+qDSeqVKSTWw2usy/ebRbjk6pFts+EoGYZxxsvr3M37dOTqXTpyJZqOXLlLx65F0704Ywi0FmQ1rFQsP1Utnl/8DQ02Gr7KBwcKLS6GYXIGbm8I69Gjh1icBYavQoUKZcoxMQzDMAzDMN5H1P148TfYlDFSxdcnF7WvWoz+2X9FvEfo1IxtF+jpZmWy/DgZhkkLdLou3Y6lw1fv076Lt+nQlbt0/Fq0rlA9sixWCjEavKoWLyAM2/hbtkiguNcZhsnZuL0hLL3Ur1+f4uPjqXbt2vTxxx9Tq1atrG6L7bBIoqOjzUKDWBh9ZNlwGVmHy8gxuJy4jFwF1yUuI65LWYc33m83ox+Iv4Xy+ume9+udKpkNYWDi+tM0oGFxrysnZ+GyYTKDuMRk4eG1L/w27Tl/i3ad8aXonVvTbAfx+VqlgqhWqYLib+3SBUVos7+vD18YhvFQPM4QVrJkSZoyZQo1btxYGLemTp1K7du3p127dlHDhg11vzNu3DgaO3ZsmvUbNmygwMDALDjqnM2aNWuy+xDcHi4jLieuS3zPuRvcLnE5cV1ynt0XMTD2oXs3r9KKFZd1t/mhBdH1WKJxB/3odmwitfxyPb1fn+85W8TGxrqsPjLebfjaH36HdpyNpB3noujApTuUmKyma8xF/r65qGapgtSwXCGqX7aQMHohtJG9vBjGu/A4Q1i1atXEImnZsiWdPXuWvv/+e/rzzz91v/Pee+/RG2+8YeERVrZsWSG6X7Ro0Sw57pw6e4eBVJcuXTg1L5cR1yW+39wCbpe4jLgu8f2WmWxYeJjo6jVqUqca9Wxbwfa20Xto5/nbdCchF32235fmDG1OVUsWzMIrlHOQ0RgM4wxJySl08DIMX1G0/WwUhV28nUbMHmHMjcoXonplgiju8nEa2rcbFQjMwwXNMF6OxxnC9GjatClt3ZrWDVYSEBAgFi3+/v5s4HEALicuI1fBdYnLiOtS1sH3G5cT1yXnuXHPKJZfpkg+u33EL/vWo87jN1FSioGiE3PRQz/vorAPO+tmnPR27JUlw0hu3ounTadu0oaTEbT51M00ovbFCgRQy0pFxdK8YlEqVyRQ3G+YKFux4jjl8fflwmQYxjsMYQcOHBAhkwzDMAzDMAyTXq5Hx4m/JQra9yhBNrl5LzSnvpN3mNc1+mwthRYNpJWvtaW8uXlAzjD2MBgMdPjKXVp3PII2noygg5fvWnxeKNCfWlQ0Gr5aVAqmSsXysaGZYZicbwi7f/8+nTlzxvz+/PnzwrBVpEgRKleunAhrvHLlCv3xxx/i8wkTJlCFChWoVq1aFBcXJzTC1q9fT6tXr87Gs2AYhmEYhmFyMvFJyXTljlEsv1TBvA59p16ZQtSuSjBtOh1pXnchKpaWH75GjzXibJIMo0dKikEI3K88cp1WHbluvu8ktUsHUcdqIdS+eoi4x1jfi2EYjzOE7d27V2h1SaSW1+DBg2nmzJl07do1Cg8PN3+ekJBAo0aNEsYxCN3XrVuX1q5da7EPhmEYhmEYhnGGMxH3KSEpRXiglC3imCHMz9eHpg5qSP8sXUGfHcpjDuNaGHaJDWEMo5CcYqDd52/RyiPXhPEr4l68RVbHdlWLUYfqIdS+ajEKCWKNL4ZhPNwQhoyPcIm1BoxhKm+//bZYGIZhGIZhGMZVREQbB+alC+V1OvQqjy/Rf6+2olsPkumRn7bSznO3qOGna2jesOZUpXgBvkiM13LiejQt2neFFh+4QjdM9xgoEOBHnWsWpx61S1DbqsVY24thGO8yhDEMwzAMwzBMdnPDpA9WPJ3eKBDxLlXEn5qEFhGeL7diEujb1Sfpl6cbu/hIGca9ibgXR0sOXKV/9l2hY9dSM4YWzOtP3WrB+FWSWlYuSgF+rKPHMEzmwIYwhmEYhmEYhrGDDNUKKZA207gzPNqgtDCEAWS/e5CQbCGcf+TKXZqx7QK91KESVSqWn68L4zG6X5tP36TZu8Jp3fEblGIK+PH3zUUdq4dQn4ZlqEO1EMrt55Pdh8owjBfAhjCGYRiGYRiGscPZm/fF35IOCuVbo1/jsnT3QSJ9ufIExSWmCGNY99olzJ+/Onc/nbsZQ3/vu0yrR7alqhw6yeRgbt6LpwVhl+ivXeF0+Xaq6H2DcoWE8evhOiWpcL7c2XqMDMN4H2wIYxiGYRiGYbye2IQk+njJUeGp8lnv2mk0iU5evyf+1i1TMENlhQx3w9tVosh78TR163kaPiuMXu9chV7vXJXiEpOFEUzyw7rTNOnJhl5/bZicR9jF2zRj23n67+h1Skw2un8F5fGjvo3K0FPNylHlENbGYxgm+2BDGMMwDMMwDOP1/B12mebvvSzKIbRoII3oWCWNZ0tGNMK09KhTQhjCwIS1p+l/9UpR/gDLrvnaYzeEgS4wN3fZmZyR+RGGr6lbztG+8DsW3l9PNStPD9UpaREGzDAMk13wU5VhGIbxeDCQTEwyUMFA/zSfXYyKEaFOrEvCMN7NyRtGjy/w+46LNKxtJdEuJCSlUFJKCkXFJJhF711Bg7KFqXON4rT2+A3xHka4vg1Li9eFAv2FUQyhZFtOR1K3WqmhkwzjbsTEJ9H8vZdo+rbzdOmWMfwxt68P9W5Qiga3DKVapTLmRckwDONq2BDGMEyWgrCPcSuOU5nCgTS0bUUufSbTuX43jpqPWyder32jrRCf/mXzObodkyAEevv/upPqlSlIc4e14JlqhvFizkbEWHh/QburYrF81Om7TRbbFXWRnpGPTy6aOrgxrTpyXYRHTtl0Viwyex7aJ4jmrzl2gw1hjFtyLy6R/thxUXiA3Y5NFOsKB/rT083L09MtQl1mNGYYhnE1bAhjGCZLgcs8ZtpBvbKFqGmFInwFmExl8sYz5tf9f9lJVYrnp53njBnbYBADBy/fpXl7wmlIqwp8NRjGy8Xwm4QWpj0XbtPQP/ZS09AiugYsV9KpRggF589NkfeNHmfA39eHutQsLgxhC8Mu0/s9a1ARFhRn3AQke5i57YLwAMNrGU6MCc4+DcrwpBLDMG4P56dlGCZLPXNem3vA/H7s0qMUn5TMV4DJsnAnhDZJI5iWRQeu8pVgGC8Fz6IIkwbYW92qm9fvvpDaXpQIykMTn2jg8t+G0WtU12oW685E3KcmoUVEeBkYOe8AGQxGwXGGyS7uxyfR92tOUesv19P3a08JI1ilYvloQv/6tPaNdkIHjDXAGIbJCbAhjGGYLGHZoavm8DTJ0avR9MPa03wFmEzljBLupNKmSrDF+4OX7tBjk7fz1WAYLyQuIcVC2PurvnXM7xHqdeHLh2jn+53okXqlMuX3n2hajsY8UpNaVw6mXLmIXmpfSRjI3u5uNJAhTHPlkeuZ8tsMYw/o5M3cdp7afb1BZDK9F59E1YoXEIbh1SPbUe8GpcnPZLRlGIbJCXCLxTBMpgN9kxF/7bdY17u+cTCBkI+k5NQBCOMcDxKSPdZLYF/4bXpk4lb6a1d4uvdxNzaRIu8bvTy2vN2BXutUhQoE+Im/kwc2EoPPqYMaU+lCecU2ey/epo0nI1x2DgzD5AziTN7Jvj65hAGqf5Ny1LyiMSyye+2sEap/plUFmvV8M9r5Xiezh9izrSrQow2MAvo/rjvtse09456kpBjo3wNXqPP4TfTx0mPCq7picD6a9GRDWvlaG2EYxj3DMAyT02CNMIZhMp2X/9pnfh2cP4A2vNmOAvx8aeOpmyIUZf+lu3wVHCAphej4tXtUPrgAGchAYRdv03O/76W2VYsJY05Oznp4JzaB7sUlUdkigeZ1v2w6S4ev3KXDiw5T0wqFqXJIAYf2hXHi3D2XqUShQCqQx88c0oR9j+xSVRjBpMbPuD5Gr4+i+XPToz8bvcE+W36cmlUoyuEdDONliVxAHqUd/XFAA1py8Co93qhslh5L8aA85tdoq97tUZ0WH7hCJ67fE8+AmqWCsvR4GO9kz4VbQsLiyJVo8R7C9693rkL9GpcVxmKGYZicDBvCGIbJVI5fixYu9WBwi/L0eueqVCCPv3jfsVoI/bP/Cq07EUF1+TrYZfEFH9qya4c5axkMR2DzqZs0Z3e4SFGeE4FHYJ+ft9P5qBiaMaQJta8WYs7aJhm79Bh9/L9aIuOjPY7czkVTdx4Tr+VENQTybQldNyhXmA6O6UrNvlgrtHlqjF4lsl592ru2K06RYRg3Jy7R+JzK4+9rXhcSlIeeb5P92Y1hGOtSozitPnaDVhy+xoYwJlOJiI6jcStP0KL9V8T7/AF+NLxdRXq2dQUKzM1DR4ZhPAM25zMMk6l8t/qk+fWYR2pRYSXrVeeaxcXf9Sdu8lVwgMO3Uw04CE9IUEJKv119UqQxz0nsNc02bz0TSeciY4Qn1ydLj4lQDCBTsYMtpyOp03ebRIp2W2w7G0VTT6YOZE27MocW2aJgXn/qVis1BOrPnRfpdkxqFjeGYbzAI0wxhLkTD9UtKf7+tOEMh0cymQImLX/dfJY6fLtRGMGgVfdE07K06a32NKJjFTaCMQzjUbAhjGGYTANGhA0nb5p1TrSeOAjpQ0as81GxdOMBXwhbIIT0ToK+DgdSlsM7bNmhazmqEEfOP0Aztl2gITP2mNfBIIZwDHDLZISqW6ag+XOELe44G6W7PxgCh8wM0/3sfw4KXH/WuzYNbVPBQt+OYRj35tKtWBq/5hR9tPgIhb67nCaucz4Jy43oOPE3KK/RY9nd6FTDOHEERv97NFuPhfE8Tt/NRY9M2k5frDhBMQnJVL9sIfr35VY0rk9dKpo/ILsPj2EYxuWwIYxhmEwDeibJJpecN7tVTfM53O2bmcSIj9xisVVbQA8M1CxZgM6P62le379xWXqyWTnxeu6eS5RTiE9Kpku39K2fSKCQmJwi0rIDiPKqHl0/bdAf5ELoXuX9ntXF3/JFAx3OZoWw3Q8eqklvdDHW1/+OcpY2hnF34FkKIXl4cYLv1pyi0zfuOfx9PKfGLDEalyqH2A+/zg7wvET2SoDzXH30OkWZEoEwTHrBc/aDxUfpp2O+dC4yloLz56ZvHqtL/7zYkuqWKcQFyzCMx5KphrCkpCRau3Yt/fLLL3TvnrFDcvXqVbp//35m/izDMG6CzNbXtEIRqy71nU2z3EvCfenH9WeE/gmTlst3jEajSsXyUa5cuejYJ93ok1616I2uValPwzLk75uLDl66IzTZcgLX7hi9L1SQSAGgDpy4ZnxmIBtVqUJ56fv+9WnzWx3EOniERdxL+/1d54yeZFWCUujI6E40rG0lmj6kMU0Z2Mjp4+tay1gvt5yJpPvxRi02hmHc8zmz9njaTK+/bTknMs8iEYc93lpwkK7dNbYpqkeou7FuVHvz62F/hlGjz9bSV6tOmHU4GcYZVh25JrJBzg8zaoE92bSMqGOPNy6rq6XJMAzjSWSaIezixYtUp04d6tWrF7388st086YxPOqrr76iN998M7N+lmEYNwKGGZlpyBrtqxUzv5644Ry9NHsfPTxxC3WfsJneXnjQrBfl7YSbvKfKFM4r/sKwOKhFqBBRhgGpi0lvbV4O8QrbbgpvVMMee9UvRaUK5hFhGcNnGUMcO1QLMadmL1c0kBqUKyR0v5brhIGevWmcZKlX1EABJp2fjtWLU42SzmdYq1a8gPAkwwBzkym8l2EY90MNX0ZbWMXk0TV/72WRhKPbhM0izPrIlbu09XRkmu8jKQeStkgdLnf2gimSLze9093o6SqZvPGsMPoxjDPG4xdnhdHwWftE/a9QNJBerZVEYx+pKbQyGYZhvIFMM4S99tpr1LhxY7p9+zblzWscuIFHH32U1q1bl1k/yzCMm4DQtqlbz4vXLSsVtbpd+aL50qxDqm6EVWIgM32bcR/ezu7zRm+nSsFpywv0b2IMj4TArRR9tsWVOw8o7KJxn9mB9FxrVTmY1oxsS8PbVRIZqbrVLmE+PvBQ3VTxelXra8nBq2n2eeW28TtFXCBnAq+77ibh/JVH2EuRYdwVGLjAsLYVae+HnWn1yLbmexfciI6nnzecoT6Tt9PAabto9L9HLL5/zNQW+fnkookDGpC781ijMmnW/b79AgvoMw6x9tgNMdG48sh1UedHdKhMS19uQZWcny9iGIbJ0WSaIWzLli304YcfUu7cqRniQGhoKF25Ypx5YxjG873B1PBHawxvawxFebiOpdED/LU73Os7+DAqXoiKNYeZ6tG6cjCVLpRX6H1sPJk2TEjl2t0H1Oar9dR38g6atyecsgMphF+8QABVKV6A3u1RXRy/OoBVwyUl8NiAg9j+8DsUbioTiTSeFQ5wjRdhjzrGLG3rT0Q4ZFxkGCbr2WWaJGhcvrDZiI2QcRVMysjwwb92hdNVU1txPjKG3ll4SLxuUalojggHg4f1133r0uudq9AHPWuYk6kcumw0CDKMHjHxSfTeP4fo+T/2UuT9BOH1/O+IVvRmt2pmD2qGYRhvItMMYSkpKZScnHbgcPnyZSpQoEBm/SzDMJlkiDlw6Y5DxgCDwUA/rD1Nb5kGFzDQIHzPFiPaV6QXqifTN31rm9dBsDiPvw+duxkjftubgdEI4YC5yCAMR3ogfLC7yZtqtZ1Mh6/NOSD2B975+7DQ0cku/bgiGkNX49AiImW7JKSAZd3B+5aVgsXrfw+kTqqgbkpx/UKW8y/ppl6ZgsI4F5uQTBs5PJJh3A48by5ExojXtUunhllXLV6AFr/cila+1obKFkmNSgBJKQbhOQs+WHSYrpuyRWrbGnemX5Oy9HrnqjS0bUUxOQCWs74mYwU843v+uIXm7L4knq/QwYMRrFap1HuGYRjG28g0Q1jXrl1pwoQJ5veYoYNI/pgxY6hnz9SMZwzDuD+YMe89aRs9+dtOYRSzNSjBdt+vPSVm2qWukz0wG1mzsEFk9sPgpWloEZrQvz51M3kH6YXBedtMLsjjSzY9FqROGDyYkqxcJ1wjreHrp/Vn7B4DrjsyKN6NNRqbXOURVjRf7jQGvVGmjI2oB1WLp83g1tuUQRKZ4ULfXS4yxkXHGY8LnXyUkyvAc6uHybgIzTJ5zPbAscDT7raD2zMMkz4eJCYLwxYoZMqoKKlftpDQBxzapmKa78EQhrZwz4XU8HA1M21O4mGT5+qqI9c9wnv6u+++oyZNmohJ85CQEOrduzedPHnSYpu4uDihP1y0aFHKnz8/9e3bl27csJwACg8Pp4ceeogCAwPFft566y2RxMubgMbqL5vO0uNTdtDFqFihwTn7+WYiM3Ie9gJjGMbL8cnMB9m2bduoZs2a4oH15JNPmsMiIZjPMEzOAB1raEmAfeF3hBaJNaDrdVATnlG2sH1DmHbwMn94CzG7L/Wglh26JtLbeyvwSAK57Rh4EBqEweCd2ETae1Hfy+tefJJ54AhvCYBQyuumjGnWmL71PL3wZxj1mbyN4pMyHiYojUoQf9YyomMVOj+up6gHMEZpgeebag+cse0CLdh7WbzOH+Bn8VlG6WnytgBjlhy1uz3CM+t+vFp42j33+x6PGJgyjLsivUChdZTXysD+8UZlza+71ixOAX4+dCbiPv297wolJhvvT2SWbV3F6Gma02hbtRjl9vOh8FuxVOG9FUIDKieDsQOMXDt37qQ1a9ZQYmKimFyPiTFOroGRI0fS0qVLacGCBbRp0yaRkb5Pnz7mzxGRAiNYQkICbd++nX7//XeaOXMmjR49mrwFZEsd+sdeGrfyhOg/PVKvFK18va3Zo5phGMbbyTRDWJkyZejgwYP0wQcfiAdWgwYN6Msvv6T9+/eLmRmGYXIGyOCHWXcJwh6RZUiPxUqoWm5fHxHa2LWWbX0wW7SpUkxkMMLv7TpvzDKYE2dkIUp/6PId6jVpG320+IhTXlUwpMzfa8wEGWCnxYZHXcfqIWkyqUkiouNo9OJUoWh4S8B4BrvYP/uNhiRr3mDoTIOzN2No0b6M6TyiU34r1uQRll8/jlHPACaBsatrTUstse/XnBJ/g/L4kStpULZQaujRoat2vcLemHfA/BqGY5nkgGGYzDOE4Tlhrc3Im9uXfnqyATUJLUwfPVzT3EbKNkNoE5o8P3Mi+QL8xLlJoAE13nRuOZF//vmHhgwZQrVq1aJ69eoJAxa8u8LCjJmE7969S9OmTaPx48dTx44dqVGjRjRjxgxh8ILxDKxevZqOHTtGs2bNovr161OPHj3o008/pUmTJgnjmKcDr++HftxK605ECCPpF4/WoR8H1OeMkAzDMAquHTFo8PPzo6eeekosDMPkTGA8AZhth27X4St3afyakzSuT9002+4xDfrH9alDfRqWpgcJyVQoMP2CTejAITRt7p5LtPTg1Rw5k/nlqhP06+ZzFkkE/tx5kY5/0l0M0OyBcMQ/dlwUr30d8HSCx8M/+67Q8kPXRKgkPOxkCMSA33YKzTVpTAL9GpcV3mML916mF9tV0h1MztltKaj/65Zz4nvpFZbGTLV0lCqczvrxSe9adPXuAypTOC+tOHzd7OVWwHRergLlMenJhnQxaovIZoqQqudaG5M76KEVrJ61K5yaVbSeNZVhmPQT/SDJbAizxcN1S4kF9KxTUng5y+QazSrqJyDJSXSqXpy2nUmdLEKWzP5NygojX04Hhi9QpIjxOsEgBi+xzp07m7epXr06lStXjnbs2EHNmzcXf+vUqUPFi6dOxHXr1o1efPFFOnr0qJic1xIfHy8WSXS0MZsofgtLTgATZ3/uukTjVp4Uz8TyRQLpxwF1qWbJIJthofL8csp5phdvOU/A5+qZeMt1TczgeTr6vUwzhMENOTg4WLgmg7fffpt+/fVXESo5Z84cKl++vEP72bx5M33zzTfiwXft2jVatGiR0AuwxcaNG+mNN94QD7uyZcuK7JWYXWIYxnmk91eJgnnoxfaV6KXZ+4Tg6rC2lahCcD6Lba/eMRrNapUKogA/X7FkFIRHwhCGgcvY/9UWxrGc5A2mGsFU4OU1uGWo3X3AyCNpUdy6PpsaJgMjFwSgB/y6k1pULCo0QRDWJ41gYOz/aplD/8RnkTFiFrlR+bSDws2nboq/8Do4ce2e2A9mmqUmmbNIryoMXv1903c9IWy9ZERr8frNBQdpYZgpNNLFHmGS/o3L0pErR8XvWDOEwdNPek/Of6EF9ftlB606co1uxdTSDQFlGMY1HmEF7BjCVOARhvDIeFMWSU8wFg1sXp7uPEikdlWL0WfLj4msun/uuCiy8V6MiqFB03eLLIE/P9VQeA7nFJB46/XXX6dWrVpR7drGZDrXr18XGekLFSpksS2MXvhMbqMaweTn8jM9xo0bR2PHjk2zfsOGDUJnzN1BdZ5/zod23TRe3wZFU2hAxWi6sH8rXdjv2D4QiuoNeMt5Aj5Xz8RbruuadJ5nbKxlVvksN4R98cUXNHnyZPEaMzM//fSTEM9ftmyZCJWE67MjQBMArtHPPvusRfy/Nc6fPy+Mb8OHD6fZs2fTunXr6Pnnn6eSJUuK2SCGYZzj0m3jrHlIgQBh+MiX21eES8LAA88vPVF36W3kCuBNg3TxMMhtPXOTOlZPf6hlVtNtwuY06xAympCcQrN2XqRBLcrbDAEEl28bG/PvHqtDflfs92YDc/sJT4BpW8+L9zvORQkPLnihSXrWKWEO98O1gofE3/su0/w9l3UNYdAcA8+2qkAHLt+hXzado982n0u3IQyp2/WE8tPL820qmA1ht10k5q8F3iQfLz1Gx69Fi4Fl+aL5LDzcEGYVHWes/6ivTSsUodqlg4QXGbK5Pd3csckfhskOgz2aIXttkTtyK8Y4UVNYI5RvL5SwQ7UQWnXUaBBR7+WcCiaI3jAlGYFn77A/w4Qn7ysdK9Pi/VeFUDqW6dvOi0ksd/Y+V4FW2JEjR2jr1q2Z/vvvvfeemERXPcIwmd6hQwchyu/O3IiOo5fnHKSDN+8Kjcx3u1ejIS3KOXxPw3sCA84uXbqQv7/j91JOw1vOE/C5eibecl0TM3ie0qM32wxhly5dosqVK4vXixcvpscee4yGDRsmZnXat2/v8H4Q14/FUaZMmUIVKlQQYv2gRo0a4gH6/fffsyGMYdLBflOGwbplCgrvnRnPNBWeLjCcYLZZhqTAJT8mwfWGMGQRfKhOSZq5/QItPXgtWw1hsQlJ9MnSY8KjaVCLUGpesYjV2XWUx+mI++b3KCcIOq9/sz01/2Kd+GzX+VvU3E7YXJTJe6pUoTwU4aA014gOlYVGGMSTwZcmfS/p1fXzU40stu/XuIy4nssOXaUx/6spjGnyHDaeumkW3g/K6y+MYRDO333hlvAga1guVZvGUQ5fuWNTH8xZqpcIEoYn6HF1rRlClGAZnugKCufLLa43wo+Qne2FdqmDyV82n6PfTeGrAOGaoHf90sIQ9nfYZTaEMW4JkmQ88tNW4RU1bXBjKpo/gHISl249sLjnHKVHnRJmQxgM1p5EpxrFKbRoIF2IihXe1PI5AKZvvUDPtKognuWXbsXS2uM3RLbMjEgYuAIkL+g7ebvFuhEjRojJc0SGQHdYUqJECaHzdefOHQuvMGSNxGdym927d1vsT2aVlNtoCQgIEIsWDMLcecCJPhoS2UTcixf9DOjhQV81Pbj7uboKbzlPwOfqmXjLdfVP53k6+p1MM4QhnXFUVJSI2YdopZxlyZMnDz14YOy4ZAbwPlN1AwA8weBabQ1P0AXIDrwlTtnbyyjMlF6+bukgcR71S+enKiH56HREDC09cJn6Ny5jNhLJxI65fQxOnbO9cupZK0QYwlYfvU7RMXEOaWtlBnN2hYuBBVhtEqPfOKpNmtCaBWGX6Vxk6uBjz3sdRDZHyf/qlaB5e6/Q3F0XqVHZILp4K5b8fXJRKc1+kpJT6KpJxyY40JciHKxL+XPnonUjW9P+S3eo36+pg4HmFQrT1KcbptlHgzIFqFyRvBR+6wEtO3CFHm1Qii5ExVCXCdsstgsK8KEieX2pe63itPTQdZq0/jRNeSqt1oo9oJMmfrdsQZfdGxP716WVR29QrzrFaPOG05lyz3WpESIMYSsOX6NnW5Yzrz8bcc9iu/ZVgsXvd6uJMKXjdODSHRo0bSdNG2RpgMwuPKFdygq8oZyWHbwsvG2xfLbsKH3d19LL193LKDzKGO5dMijAqWNoV7kIFQ8KEB665Qo59930kNXl9EzL8jRm6XH6a9dFi7BshMyvOnxVtOGj5h+g3Rdu08YTETR1UEPKTmZsPWf25sUEDIxgkEKB1Akmt1Ugjo9BDiI++vbtK9adPHlSCOq3aNFCvMffzz//nCIiIswJuuBdEBQUJCRaPIUlB68KaYCEpBSqWjw//TaosUd4ODIMw2QFmWYIgysbQhIhSHnq1Cnq2bOnWA/drtBQ+7o46cWaLgCMWzDA5c2b1+N0AbIbb4lT9sYyiksmOnkDRqdcdPt0GK0wOb3UyJOLTpMvTVt/lApEHBLrbgh7jR8F+Bho49rVItTGVeUEYfUiAb50Kz6ZPp+9mloWN1ncspg/DxvLQuWlaZvohRqp2l234onG7kttWkvkNdD2jZbnVUpEgPjRisNXqQZdom8P+4q9jqyTTKWUJifiATI2+pG/j4GO7N4qQh6cqUsot0A/X4pNMh5zDf9IWrfmP91ta+fLReG3fOntf47Q2WMH6bIYX1oaHM+EbaFzuYhq5SJaSn604UQEzV28goKcdCY4cNZYjikRZ2nFijPkKuCbtnlD5t1zPgk4al86ePku/bVoBRUyOQ8cPG88n5A8Bnq4XAqFxp6gFSukF56xLmw+HUV//LOCgvOQ25BT26WsxpPLafEJeLQavVoXHzC2R8XzZk0ZxSQS5fGF16/tbZAkxJr0X9gZ470XeeEErbh33Knff72a8czX/LeKPK0uBSQR+fv4iiy/WEDloBQ6E+1DXy89QJGnkmn3BWOhbjodSZPmraAKBSjbCDuZWglGjRpFCxcupH///ZcKFChg1vQqWLCg6MPj73PPPScm2CGgD+PWK6+8IoxfEMoHXbt2FQavp59+mr7++muxD+gFI9RSz+srpwFj4ZRN5+irVcbnDGQKvu9f36Xe+AzDMJ5OprWYSFGMhw5CJP/++29zfD1E75944glyJ3KyLkB24i1xyt5cRtCXMuwOo5IF89ATvdua1zeKjqNl326m8/dyUa3m7alEgQBq8Pl6dM+oUL489NBD7VxeTjcKXaBxq07R4nB/erJ7U5EFKav5aD/OMYmWvdyCFuy7Qr/vCKdjd3xo5uXC9OezTYQA87RtF4goNXV9hZJFqWfPxmk6sYuubROhK1tiilNiijHbV1h8SXr+sQaWQvkHDlHlkCDq1rVxuupSbInL9P7iY1S9RAF6/2njbLkeDe7G0YpvjZpmv5zwpc7VEVphFMmvUDSQhrWtQA83LG3efmXULmEQehBSiwa0dFz/KjnFQG/vWQdlIhrQox2VLxqYo+65f2/uprDwO5Rcsjb1bF5OiHXf2GG0vs0e3ppCNbPxJWvfoX6/Gb3ybuSvTIO6GnV8spOc3i5lFZ5eTtB0HLULdddApQrmoat34+i0b3l6pqcxkUZmlhG8Zj9acpzKFMpLs59rTMWDUi3Ekffj6fMVJ+no1Wg6HxUrtASXjWhBwZqwTbSjb+xaK45/8CPt3Vr0Pjvq0o6Ew/TvwWvm9x8/1pQGTt9Ll2JyWUzWgLM+ZejlnmkzQWcVE8/A+9ioETZt2jTxVyujMmPGDHPiK8id+Pj4CI8wRHQg8uPnn382b+vr6yvCKpElEgayfPny0eDBg+mTTz6hnA48xUcvOUp/7TJmc36+dQV6v2eNdGdxZhiG8VYyzRCGuH0I5GvR87xyJYj9lzoAErzHjJGeN1hO1gVwF7icPLeMhs0yirM3KFfI4vjLFPWn1lWKiWyC88OuCrHlxGSjl1YdaIml81xtldNzbSrRupORQgeq18876cSn3SmPf9aFSCYmp5jF0EsVyU9je9WhA5ejRZjf/kt36betF2lkl6oUFm6pT9W8YrDuOfVtWIa+W3OKtiop79edvEnhd+KpUrH84v0H/x4Tf6sUL2Deh7N16cnmFahVlRAKymP7e+WC/UXGsU2mDJFrTxj//jCgPvWqn2oAk/RpWEYYwlYcuUHD2hn1IB3h25XHRbY26KVVCAkSGnA56Z7rUaekMIStPh5Bz7apRJevx5iTSVQpYZnFDDStVIymDGxEw2eF0aID1+jt7jXcJmtbTm2XshpPLaebt+IoKcVABfL40cQnGwqNJniFjepaXWQJzswymrPnijCKIyz885WnaPLA1LDhX7acomVKtlzoJP669SKNecTSQAcjNPYBShTKR/5Z+DzICXXp6RahFoawlpVDqHf9UuIaa1l19AaN+V9KGmPjxpMR9MmyYzS0TUV6omlqOLgrgUHzenSqPMndu3dFn90WkFnBhDsWayA7/YoVK8jTjNcj/tpHG07eFF73ox+uKTTfGIZhGOdxaW/80KFDItWxfG1rySww8wPdABXMwkndAIZhHOPY1WiKSzTez4/ULZXm874m7yBkj5xqylAI3uhSLVOKGMaD93pUN7//cPERymoxXwDDjUwQMHFAqvcWBORP37gnROoBMmq+1qkKPdNaPxS8d4PSuqGMf2y/YM7kFp+ULF4jq2NGgGYIxN7tMXlgQ3qqmeVgx5qXBcSmYcOC/hVEl23NXi8/dE1sA2MiMk6C7rVLZJoRLDPpVssotLzz3C2Kuh9P903G0cI2xKY7Vg8RGnHQYar8wUrqPmGzKAuGySr2XLhF7yw8ROcjjYZbAHFtUCIoDzUqX1gknMCEBjILphe0W3GJxnbLGmdv3qfDV1InDFYeuW42wMMoAj1ILTO2XRDJOVSQrRXk9ffN0kmRnELj0CL0TnfjM3PMIzWFx9CnvWtbbLNuVDuqX7aQuO7zTPqXKlM2naVzN2PovX8OmzPzuhokjrkfnyQyXzLWwfNmwK87hREsj7+PmGBhIxjDMEz6celTp379+hQZGWl+DX0w/NUuWO8o9+/fpwMHDogFnD9/XryGKKYMaxw0aJB5++HDh9O5c+fo7bffphMnTghX6fnz59PIkSNdeaoM4/F8adKe6FCtmPCC0dK1ZtrMS2vfaEs1S2VeyCI67MggCRbtv0IR99KmW88sTl43CqLXK1PQbMApVzSQzn3Rk6qE5Kd78UnU5XtjaCFoUyVYeIjBE0uPskUCLQxB3WoZtQ3/3ndFDAq2nokUgxN/31zUuYZR7DezQbZIhFjAW0tSr2xaLycQUiAPtahkDB0fOG2X1X3CSPryX/uozdcb6HdlgDv6kZwpWIzrJrPMTdpwViSJALYSOGCA1yS0iPn9iev3aMrGs1lwtIwjLNp/mYb/GWZhJPIkYJx6fe4Bmrf3Eg2custshL0RbWw/Q4KMXkAvmjKhzt55UXhbObx/A9EXK0/S+4sOU80xq6ju2NW0/YyxL6jH/nBjsgwY35CFFgyevlvcSw/9uNW83VvdqgnPWYRGgmdm7DF7gIGYeKPBLR/rIlnlxfaV6MKXD5kNJgXy+NMrHY0evJ/2qiW8j59ubgxt/+a/k+LZI4FREgZ/ybgVx83tncrFqBhqMW4dNfhktUgk4gzIVNzV9NzEc5TR59rdByJbNwzIuB/mDG1unpRhGIZh3MAQBiNVsWLFzK9hkMJf7XL48GGH97l3715hOJPGM2h54fXo0aPF+2vXrpmNYgDZZZYvXy68wOrVq0ffffcdTZ06VegHMIyrBxcT152m8atP2p0Bz4mdLoQ9gre6pXphqWDgP/OZJhbrMjtbUa5cuWjSUw2pYblCYkC0YG/mzFDrIQeN5YpYalphlh2DDZWKwfkc0qv5oGcN8Rfb/vxUI6pYLJ8YiCzad1lkgwIIV8zKUDoMKmc934wGtShPJz/rTv42fvuhOkZPwYtRsXTosnFwC+C5gfANhLGqnh/IoAh61C4hDGk5ledaGweVs3ZdpEkmg1agnUym8lpLEBaL8mGyFxjTR847SKuOXqfHp2ynBwme1Zbj2dTl+010xZR9Fn+lZ4/0CCtuuhfbVytG1YoXoJiEZJqv4x1kjTPRuWjG9otCswhexMhgB49d1WilIjPhVi6Wn17rXMUs8F1z9H907JoxazeMzS93qEzf9atHX/U1alfBOLfltPG5BKTHLLxjGMcZ2bkqhX3YWYROgofqljRPysAgKXlljlEaQQ1RXbw/bVglPMmu3Y0TWR9fm7ufLt+27iGsgvrx2lzjJDcoW9h9Nd6yExjoH5u8QyQ9gJbfguEtqEE5pIZhGIZhMoJLew+Ix8dAVb7WLtDvgnB+x44dHd4nxDIxK6VdZs6cKT7HX6RX1n5n//79QkDz7NmzZnFNhnEl285GisHsj+vP0EdZHKaX2Vy/G2c20Njy8GpfLYRe7pBqBLJlNHElTzYzzmDP2R0uDJJZgRw0hiiizpJH6pWyyJL594stzW2hLZ5pFUrThzSmRS+3FAORQaaZ+U+XHzcPVh9vXJaymuYVi9InvWpTgJ9t486jSnjnZ8tSM7Z9uOgILTt0TcxgIyxSizUvs5xC7/qlqUJwPjHgh0acDGu1RWhwPuGZcebzHuZ1KB88z5jsY/rWVC/FyPsJ9NOG07Rg7yWKMBm+czodv91ozhoombThjDBCpHqEGds0tFnPmkK5P19xnMIuOmaoPRCVtq07FxlDq46k6nxpdY4AtMkQZv5GF8sEErVKBdFvg1ITjHSuWVy0lbLNl0BrECBJCeM4mLwpqmiBIaz01Y5VxOuwi7dFGDs8tdCGAyRa+fAhoyEfXr3aNgs6bxJ4MU9c51gm4CNX7pqNpf+rV4pe6WQ8BiaV49ei6fEpO4QBG8+cBS+2pIomDVGGYRgmY7i89wDjE8IVGzduTC1btqTFixebs73AWwuZXjhM0XNAP3TLmUibGkGeitSMkhmwPMm747ZJe6VwPvuivq91qiqMYbOea0ZZxcN1S1JQHj+6fPsBbVY8BDIT86CxgE5iDV8fESKJwdoL7So6pMclB54dqxc3e0f1bVSGiuTLLQwsksbl3XfmF16B84YZ09XvvnCLftl0VmiCHb9u9OpQmTKwIb3fszp91bcODWmpr5uWU8B1gzFMxdHwLHj3/fxUQ/N7NfSIyVoQ7gwNJDnYl+Guby08RI9N2ZHjPX3h7YZMkBK0TTA8od1cfyIi1bivtGnQLpQeVm8vPOSQlt25e0ZDGPQF4a3yqsmgMXH9ad2JihhTeF2g6Z55tnUF4UWrTiSULGjpHSSF2tcejzAbKVMNYawPllHgmdfSFOr+977LtNakdQlwTTEhAy22kzfu0S5NX+eyqf/3QtuK4u8/+y+bvf5ssfeiUfOtc43i9OMTDTLdozynsT/8NvX/ZYfIoor2af4LLdw6MyrDMAx5uyEMIYuTJ0+m0NBQunDhAj3++OM0bNgwYQAbP368WPfOO++4+meZbABu8hOO+NKzv++jhyduNXsReQvajt6EtafIU5i7+5JFyIwtoH+E8MnWVYIpq8AMNrIWAplCPDs9wqRxBFnN3uthGQLnDNBvkTo9MoRFnbl3R1Ttq3ErT4jwGD0np+olgmhY20rUv0k5jxC2Vr3higcFmD0mHAHJD540JSVQPVyYrAVeL5JpQ5pYGGPCb8XSbFM7mFORmnwFAvxEmDPapgFNjR6mkzeeofAoowGjuNKmwai09o124jU8yZaaQrStAWNUlOnRDx0qtAfPtaogfhNaeJNNhkaVWKntpYQTf/1YXSpWIECIueu1D1WLFxCTAiIkPuyyCGGVxhoOjXQNjzc2PlPhjSwzS0JsH88lGFB7NyiVps2CjIIMf/9f/VLUvKIx4cI0JYGONWQIZaVibADTAnmBp6ftFpmqIQUxb1gLcX8wDMMwbmwIW7BgAf3xxx+0cOFCWr16NSUnJ1NSUhIdPHiQBgwYQL6+OX8ApGXDiQghtCs1lTzlIdzt+83Ub8oOkQlPC1zjR8w5QJdicpm1O8YuPUreAjp/v20xdvSGta0oBM23n40SmbkAZvAQXoNygVEAAujbbIgHuxPwRtpwMkK8frhexrIVZiYyu+G6ExFZYoSVXgjFM7kzCgMJBnYIlcTAIieE2ciBM5DaZrgn4CUHPbC2VYsJkXlPAokSxverR988Vpd2vd9ZhD46wxNNjPUX4WO3YowemEzWIjO8Pt+6gvC0QFuu8tuWC2RKnJsjkd6Gz7SuYPaaksLo+8LvmA0YUixfUqZwIL3Z1RiuiAyStsJ3kQEyISUXFcrrbzYkFgz0N4cywivstqZ+az3CZIbDPR90Nh+fHv2bGI14eLZ+9O8R+nPnRfFeZjdmMkb3WiWFARMeg9okLuDJpsZrs/LwdfM13Xo6UiRLgL5ljRJB9GL7yuYJKnteYfLz0qwNlsYTbPC03UIvtFmFIvTnc83EPcUwDMO4uSHs8uXL1KhRI/G6du3aFBAQIEIhHdHLyalAFBZCu4Om784xxg57fL/mlHCBR7jTC3+GmTU9JNej42jvRaM2zptdqohBO1Kgrz+R6k7vyfy2OXW2s0/D0vRYI2MHHaFh4N2/D4vwmiem7qbPDvjSu4uO0lNTd9EBk56QOwNPCMzoQvxbG/7lTlQpXoCahBo9BPTSvrsSDATteYS5CoTYrXytrQiDgCZITqBySH56yZQwYLrJEwDnASPZ5IGN6I9nm1pkyPQU4JWYXg23OmUKCi2khOQU+vfAFZcfG2ObE9ejhccS6GrKvoawQK3Xc1hkzq23MgumasyAkUur0afn+YtQRGhvHbkSbQ5h00O2i6UK5RH3u+QFk2crjFQ/b7TUjIo1JSTIH+DcxCg8KfFcuhAVa9ZQlBl6GdeEuj9cL3XyJTh/gIUeFdosJDFAm/XdmpNCHgL9HNCkfBFx/dtWCRbZnR8kJgsjqC1kAodSmjBYbzeCDZq2W2ShhhFsxjNNOCsqwzBMTjGEwQMsd+5UfRw/Pz/Kn99zhR2hnyEf5gAZc6SWUE7mnCKuC9Hb37acs/j8RrSx81sot4FeaFvBnEXt8+XHs0y83BowjMAgmZleQptOGT2m3u5eTYR8DW1TweydhFTiO84aDaKnI2IoMi51cACvOXcXx5beKdCNcXcD9lMm0fx5e8KtZihzBZiZlYM3PY0wVwMDWCM31gbTo5/JICTbw3y5HdPM8mZkmc13Ivupu7cfOYVNJ40e3LjPmlYwhvciJG/Dm+1FNlyZ5XPDVR+3LnM8UyCIr01KcSc2wdyWh2q0l+DJqKL1CAMIyZbhvy/OCtNtX/Gs/2LFSXN4sAoM4T89acz2PWPbBYvnsZxYC3SyjcA+H6pj6aX8Wqcq9Ga3ak7th7HOY42M4ZHG65PWUCm12mbtDKfO4zdZGMkA+gwyTBzGSvSHo+7H6/YLr94xJeVhjzABJkqlEaypyQjm7D3CMAzDZKMhDB1GZGns06ePWOLi4mj48OHm93LxFNSQFqQdR9ap9/85TDkZdHjh8QU+erim+Pvb5nOiMyP5brWx85vf5K39SsfKwqUemiIbTUai7OKPHReE91Xzceso9N3l9NzMPS4VPYZRBMZB8LjJEwyzpkg9j/ESvOmQfl4LPGL2h98RHoQ5oU47KvienXSvXYIKBfoLQWhpnMwMpNdD/gA/np21AkIDoQ8jyeekt4c30qt+Kcrt6yMygyGDmj1mbDtPFd5bQb0nbaN7cYlZcoyeyOSNZ4WeHehu8gZTjdDIhtu/aVmhYXX9QS7aejaK3BHod8HIhOfRy3/to3ErjqfxBisRlCdNm1WpWH4Rtjy8XSV6t0d1q5p9z5smeNCvkXpq8AJ6Z+EhMWj/7+h1Om/SGUP/RwuMVvXKFKSkFAPNNOmVATmpkC8dg/x+pvBIUK5III3sUjXLshV7A9CjkqiTvBJkd7SlLybDXKHnBs/yZl+so0afraVX5+4XbZZMBHM3NtHc1yjFAvB0+PJdenraLrMRDMZ4NoIxDMNkLi7vPQwePJhCQkKoYMGCYhk4cCCVKlXK/F4unsJN0wAZIpaTnmpAiAyAV9DMbfaFQt050xSMYX4+uWhwi/JUp3RBYdhBZwZhT+i8bDlt9HiqUMA4ywcxVSnCq4YNZjWYdRy79JjFOlyPH9bZdtF3hmNXo4XBCwMMVbxUZsKTIrPQnGlX1RiyUSx/brP2yexd4UJXxV2BJwEoHOj+hjAM4KTXwterTmaaN+LOc1FWPSeYVJ40eejJa8PYplBgbupqCluD7pEtkJkXHrcARogvTYYcxvn2TU7kgA7Vi+luF5THnx5rZGxbZmwzalFlN9ApHDX/IE1cd1oYFDZpdEl/2XyODprC76X+V6UQ/fBqhLHBCAZjmDUqhxQQ+mngtbkHhPfZp8uO0by9l4Qx9i+TaLq/j4GGtEyr7QXvoJc7GDWj5u4JN09IYTIJBKbDWK5m0UXoGONacM2QJTK0aCCN61Mnzefo67WoaMwuKTk6tluazJ0vdzRed8myQ9eozserqeqHK8UEJSYspeEZQvzeDHR4B03fRffikqhpaBGaMYSNYAzDMFmBy31uZ8yYQd4AMhb1+GGz0KoARfPlFp3GXvVL06L9V+jjpcdo0saztOXtDjluQHgg/I55ttXPFxkBqwn9M/DJsmNikfQJTRWpHdKqAk3fdoF2nIuio1fvUq1SWWvwRCdb9baCbog02E3bcp76Ny7rtKC1HrtMRpGG5S11VtpWKSbEgqW3WItKRen1jhVp1MyNNOLhutQgtKh5VnzqlnM0rk9dckeQ9S+nGMLAoBahwisCej+bTt+kDtVCXP4b648bvc1qZ3GdzmmoWkSHLtv3cGKM4ZEYJMKA/l7PGlafFzvORgnPGgmMEAObl6caJYO4GJ1gu1KOX/apI57b1hjUvBz9seMibTkTRSev36NqJaxv6ypD1xcrjlP5ovmElzWev5YJavbT7vNGAfw7DxLNOlmfP1qbflh7WniuYtJn+pAmZnmDumUsn1POMqxdRZpq0v1DO6sin6/PV0sRfSA9OtUoLiaF4F2ERBqPNSxDESZphWLpyIgLQ82mt9qLrIQvmYTZGdeCzJ8b3+pg9fNpQxoLb0RIZFQJya/rJY3ncMfqIbT+hL6n9ndrTqUJxfRGMMGB7JDod0G7bzprgjEMw2QZ7E+eTt7++5DZCAZkRjRoI8hU3vAW+3WzUVsrKTlFZKjKCdnBMCgDjUMLmw1KvXWy17WpXFR4wEnQ2UWompq2PStBWIgcGED3BQLdK19rI2YvIe762XJLT7H0Iq+71tCHGfbBJq8wgJk9pKV/snKKCBlDWB0E0AGySEpvwswE4azz91yyCGtVgeefDFWQ3DZ7hOWMWVrMKEtvPCnU7mrOR8WkCf9g0gKvAKm3VJMNNA7RqnIwlSqYR2SYlVkM9Th2LVr8hYfOQ3VLCq/Ur1exV5izILRPDsAHmPSOrIHJoDpFDJnatqjAiAWDKP5+roQ5gmt348xGMABDkKRemULi2YLnMQwPSARwx0XteEiBPPRqpyo2t6lo8gzXA5IAT7cob+4XIKMynsc41hIF05d4BIbCT3rVTvf3mYyBkL3+TcqJetFDo9mm1W+TWDOU1i7tvZNLMHwPnLZLSJFULZ6fZg5pIvqJDMMwTNbAhrB0AKPWppOWs1w9TAYgCMyuGdlOaIuA8WtO0bt/H6LPlh+noX/spfbfbBB6MO4IZms3nIigdabMj+hsyhnYCQMa0N4PO1ts30/HKPCMySDx74GraVKmZyaYLUfmTskbXaqK44a3xKe9a4swz7XHI2izJpQkPVy5E2vOkqWlb6MyVLJgHmEU7KbRngHIcoiMSjA+ydAAV7DqyDVq/NkaETKjgvApGG0fmbiVojWaQggjrPT+ChGq8N4/h82C0LdzkEaYBMkaoOsPDwVXh51Cu0l6V+jp4DCWTBvcmF5oV5HG97cU5GasGwqkV8R8G+GRCMkGNUsF0Vtdq4k2bcPJm2YPVcYxzCGDSjY8W3QoaZwoWHTgijDiZCZS10t6X/21K1w8J/C73SZsFuthNFV1zVAPYEyAt3OP2kajxC+bzgnDKiiUN+PtOJ6nu97vZLHumVbGZz3C/3U01S2ANzYyUB69Gi083gAmiVjby7OBhxO0ruYOa05LXmktjLUXvnzIbFjFZGGrSpZhlt4CDNXwBLsYFUtli+SlP59rlqP6XAzDMJ4AG8LSAVKJR8clCc+vP59rSl/3rStCIlXvsMMfd6PyRY1eYnP3XDKHxOF7D/24RWQ1dCdwPK/O2U/PCGF5Y8e/vyJKK1Npr3i1DX38SE2hLdJJR1sFnli1SgVRfFKKOO+sO/4o4aYP4enNb3UQXhaSyiH5RficdMfPaAYwzMyD0oWM11cFs3nIOrZuVDsqqDMTD+PcsLYVxWuE3MjsWRkB5/PThjNC0BjnB2OmBGGqAGLy/absoNgEZD9MEjPzMtwVzNkdLrzUcmJopLznOlU3huV9tfKEVQ+49PCVyesGM7YhQeyBYA9oyLzXo4bIpso4xmOmpBtbz0TqClSDS7djzYk5YPSQmoxfrjrh1lkN3QkY/+Wz19GsrBUKENUtHSQmL2bvNGpi6YFrkFGNQukljIkU8P6iwzT636PU+LO1Qj8I/K9+aXqnR3Xzd9TzkHpfmNSC0QkEuUh/CYYraYDDhACyav4woD59+j9jQh1bYIAvRdalhiYLpHsHSDzRvGJRUaelt/DIzlXo+Cfdaf7wFhbhv94C+mDoa5+8cU/ozM56rpm4vxiGYZisxfueQC5g7wVjeAIG3m2qFBNZjDCrrw2T+/ZxfY8I9JUheAsjCEQy0THP7oHMElPnVNX6geFLC7wRoAWGDrfebC4MPTI88M8dF4T3XFYAXTaAwWE5kwFSZXi7ipTbz0cICc/LgIEOA51rppTfeh5hABo/tnTh4CkGIVrM2EsjS3pBCEzTL9bRkSupXoYf/XtEDNrgGXX5duqgGhpaY5cco583nKUxS46KQbcKQkeRKEF6LIYoiQByAs+aPBRWH7shEjucu3mfZu28mCEvQNyXckD5QlvrotIMkxHQZiGEG48BZOjV8zySIcsyxAheFXn9fUUmWtR5xj7XouNExkJ/31zUQMmOZwt4mkoh+D93XqT4JP0MxGhT645dTYv2G8PzM5Kd9vv+9XU/hwfNO92riXDw93pUF2GPMlkIqFOmILWqXFSEvMt9uVKI/JvH69LLHSrRhAH1hQEDE4DwgHaE17tUtXjPhjDvBf3EvPbcCD0U9Ikx6Yx2G/cmjGAy+oJhGIbJWtgQlg5DyAKTDhXC3OwJjp79oqdwewYYtOz7qIvwGoImwCtz9lOX7zfTU1N3mbXEsoKNJyPotbn7hRFFgpkpgMFB26rF6BsrRjxHwMxvkXy5hReSGq6Y2YKjQM44aoEnj5wtn7D2tDl7lbNgcAF9EwyO0juDB6PpUMUrTNV90ePUjXsivLbjtxtpgyYkFwZMVWusQICfMH4hQ9eqI8ayr16igEh4AJDta8VhowacZNkrrYWe053YRBrx137hkQJvR9WrLifQsnIw1S2TqjfS8btNInkCPN+02dWs8c++yyI8DQNJAC876PrBzg1dJobJLPo1MYZHwnu4xbh1tFppO5GcRXrqFjJ5mkK7CSHBYOySo3RPE/rMpAXGcan95UxYXvdaxYXBBwZKhP2r4FnS7fvNoi1HNsQ35h80h7E6AyYhZDgjvE9/fKKB8BYZ2LycmMTBulnPNxNGBPBCu0q0f3TXNDpnQ9sYny0SVxrC4O35Vrfq6UrQAI+gtW+0Nb/vWjM1sQbDeAOYWPt46VEh04FQ4elDGmd6Ag6GYRjGOmwIs4E2vAoPMbgzI6YfdHagIwejx4ZR7enrx+rSL083Egai0Y8YQwnUbDpf/3eSwhXxfT0wGNp6OtLqjLQ9MLgfOHUXDZmxR3TmB0/fTXdjE4VxTwoII8wTIvNIHZ9e4A01wBRWCcNK9wmb0wiyu5qoGOO1KprPuhcTZrIxmIEREp5CjoLBD0SsUe6bTxsNKjVKBGVI3wSaQLVLGwcT/X7ZQe2+2UBhF2+n2S7s4i3q+v1mEWaKbJTPztxD/x29Lsq0w7cb6eeNZ83bdq5RnN7ubjR4/bjuDO0xeS7CAw0p7GVoisxqCa8IhLpgUPPx/2qJddIoVyIoT46csf3piYZiwKhl7NKjdr0T4Z2JQezbCw/Rx0uOinVScBqDyZyW/ZXJWXSvVZIK5DEKJScmG2jYn2EU+u5ymrThDN0y1UPcs6qYMrTYMNGCSQcY+BnbnDU95xzVB5OgrZeezvDYU0MgIVovJ5IAvPpGzNnn9GTL58uN2lkVi+UT7Q3a6z0fdKbPetcR2af/fbm1MIjZo11VS8kC7M9dQIbOxS+3ouWvtqZHTM8jhvEWJm86S7N2houJVIQVNyqvP3HLMAzDZA1sCLPB+DVnLIxgmPGVniWtKwdTmcJpQ/D0QAhBv8ZlhacVQCgDZnq1Rqrv1xrTSesBg1WN0atEhpmhf4SlS4tk9L9HLMLhoKlV75PVNHt3uJjJhsA/tGdcwbMmTwUZkpeZWSRxbXAuoFiB3DYz2r3e2SjSCk0tW2L+mJmXXmYj/tonEh0Mmb6HjpqElhF+khFwLEhxL5MqwLiK34B2hDynDxcfpr6Td2jOleiFP8NEmarCyr8/25SmDGwoMjlhYAzj3caTxrrarKKxszWqa1UhrCyZ/XxzmvJ0I2GshScdsoOqM/85NcRs9ch2NPv5ZhbrIXYvtWmsod4bCIGavPGsOQtpfpOBgmEyCxief326Mb3asbKFZ+M3/52kdceNoY+FAnObPYLkfYrsedIgI7NOZneovbty1pT0olKIc4Yw8GSzcsLj9nTEfXMo6tGrd8X1kYzvV0+ElKO9mbrlHCU6KA2A57/0NHune3WLawyKOzExge9Cv0saxdzNgI9kMdqMywzj6Szef4W+XmVsK0Y/XJO6mxJbMAzDMNkHG8JssOLoDbOwLjy2oAEiGdenTroLHbPLQ9ukGoqQUQf8e+AKnYkwzixrvb7gTi2B5tHsXY57NElD2l+7w3XTWn+0+Ij4C0FTV2Vxgr7YPy+1NL//cf3pTMsiifA1GPIwdrBnnOzbsIwQ+kUY4DerUwcwKpjJf3jiFmrz9QbhkbHz3C2z8PzvOy6as4NmFIQ2LX+1DQ0xeRogBK/NVxvEoAgeepg5lMCb8OCYrropyGGUxYAHBld4DLzasUoaXRkAHQoM5iTB+S33NVLRcMmJ3mAqCOuU2QtlWOiP607b9Apbd9zooYmwUAD9tl9MIcv+PtxUMplPi0pF6Y2u1ejPZ5sJzTAJBNNBEZ0EFh2qhZjbkE+WHRWexa2/2kA9f9hC1+7qC+97KzKjrLMeYQBe0oNMWmE/bzwjjI27TM8GsOr1NtSnYRn64CGjEerb1aeoygcrxQRHRLRRV9Ia0pgGb7+O1UMoozzfpgL9+nQj+qpv3Qzvi2GYjLH9TCS9tfCgeI2+/zOtUvv/DMMwTPbBozs7wEgEw8jfJs8QMKpLVZGlLiM826qCELudN6y5MEBBLwNOXmOXHhPGl2ofrhJaRa/P3U8dv9toFoOXE8XoZMO45SjQfZJOAic+7S6MHjJ7YWaJ1zYsV1hopCH0DhmvJq5P9bBzJReiYswaJPZmv2Es+qSXMQwQovl64aiY7b90y/YAspCLdFfggYewRGhFgKiYBKHvBa8DCUSxEfaIcBkZVguQjAFhrMhcqgKPQ2nkgpiympXplY5VKCiPn1hKFsyb5nr1rm8MV3moTs6frexUo7jIXoh7DQbE8FuxtOyQpT4aDKgIgxy/5pTZI2zKwEbmrG0SvcQRDJNZIOPsnGHNacd7HYWWjKRwPv12ByHR8ERCu/X09F2ivT92LZpem3uAvcMU4KkFKqUzXBBtCQzlhy7fFe3FjXtx5vUySypCGhsrmRzhpdd1wma6bMr6qQWyAfAeA11qFnfJZBS8wrrWKkElHBSyZxgmc4DGK7z4Ee4OnVH0SRiGYRj3gA1hNgjO5y/0lOqNXW3OwLTi1Tb0iuJNlV5gnIDYbTPTrP/rnY3eOFtOp4ZnQasI4Vyy8w7WjGwnPJoQujdpo+OGJekZAF0qaSx6v2cN+vvFVK+tyukIF7EHwu5kmMb0beeFkU8KFrsKGSKITFqOgDJHmCo8rzCzr+WCEnIoQdhh+2qp2it6mSkzQsfqxc1eeuNXnxKhjwA6Km90qWrOSoosXXOGNhfGmr4NS4vz0IbRoG79NbS58BL7UuMRgJDcFa+1oaWvtNb1+hrfrz5tfLM9DWph9HzwBHCeMlT39XkH6P1Fh83GASQbgDg5vMUkGDy+06O6+f0zrUJp+jNNsuHIGW8HxmrVe8CakSQwtx+9afJ8lBqWUvNvyUHbIcHeQnRcotCHBBXT4REmPYGfMInTI9nNL5uMBqziQamGcrTHY02TLRJ4IPf4YYsYFOtloU4ySR1gcoxhGM8AXv7P/b6H7sUnCfmJ7x6vJzLKMwzDMO4BG8Js8GZXo3Eq3iT0DqNDzVLOZ0tyBOzXXlY6ZAiDserdnsbO8sxtF8w6VhKEckKPCxnEEAbywaLDIvuY1DYrEWTp6dKofGH6sk8dMRPd3yRw72paVwm2MCK9NHufXeFyZ0CWROCMl95rnSqLv9CA0s7Uy/cwQMFQiJBE6Dl81ru2SHYADzcZbuhKRnSsLISN4RUmDTN6qekRPtW9dok0BjCVqsULCN0wCOVrQfiotXTd6KTBS83WvnMiA5unGvb+2hUuhMW3nL4pjGJaQovmo0fqlhSJI2Y804TGPFLLQqCcYbIStAvw4JT6SrbCvpEhVlKmsLGt/3LlCZFoxdtZajIIVgw2itGnF+lJDeOWRJtBGBpYkAZAeDaE7gG8opH4BAlQVDaZErD0aVhaZDdmGCbnA0/PF2eFCS/d8kUD6ZeBjdxOr49hGMbbYUOYDbrWDBEaQ5KqmeAxpfJpr9rC2IVwSXieSSDw3ql6iNlLp33VYkKsPSE5RehY3TDNciMcBpkgoWVW5+PV1Om7TTR7V7jIPgahf9AkNDVkQ4L0678NapypD+kfBjQwp0uHt9McRa8so8Do52y4IrL1oAwxE69mXgQygybC42AolIMmGJC2vtOBFr/c0iLc0FXA2+Ojh1JDH0ExDslzCbiG0jMR/LDuND09bbf5PYzcCHmG0RP3AQyB/ZqUFfpLDJOdwAi7dlQ7YVgZ1dXo9aUHvEY/fKimyCwJ79jlr7QRbdi1u3HCG9fb2R9+R/y1N+HkiJde5xqp7QJCV2uXTiv+jlBzhGdjgkbVBH1r4SGLLMpHTAlYIJHAMEzOBx7nY5YcoV3nb4kEGzCIF9bRd2UYhmGyFzaE2QCDYcTzLxjegh6uW5KezuRwMXgbffRwTRG6Bw8x6EZNerKhCJucNqSJ2YsHx/V2t+ppxO73XbxtDrHQAxkDZQr47DBE/DqosVmf64d1Z8wZEjPK/TjjfvI56bUjReUX7L1k9gK7GBVD+8LvELzXm+h4fSEECRkfM4sO1UPMmS1BpRDXZPFkiIa2rUhHxnajqsUtDdp4P2NIExHynBFPEYbJLJBYA4YVR7xvt7/bSUykQGcM2mHg5w1n6KYpvN+bBaudCaG3xbg+dYUH3teP1aXNb3ewKyvwdvfqwtAOIHXwm0kTDEC70FXHxTBM9oOojDm7LwlN3x+faECVQ1I9dRmGYRj3gQ1hDgCDyE9PNrQaTpZZQDfK2ux1vbKFREijFHdHJ1/qgMELIK/Ju2vqoMbmTjoyi2W3a/aAJuWoXJFAirwfTzVH/yc0FDJKjMmg5mz4GgyOLSsVFSKm0ivs1A2jNxiEj12tA+YoMHxCBH/s/2pR+6rskeRKUEcWvtjSQovnu8frmzXYGCanAx1Aqf/3SN1SVLdMQYpJSKYf1p2iA5fuUJ+ft9HX/52iZOtzJh4HwqCv3jV6TneqbvRMzmgZf9evHvVrXDZNWKQ1b18Y2if0ry/eI/QdsgaJySl09Y7xuPBcZBgmZ4Os7p8sOyZev9+jhpjcZBiGYdwTFr7JwSCk8fi1aPp9x0Xx4JWhFTCevd2tmjl8r2XloiLLlZ6HU1aT289HaG9BtBy8Mmcf/flsswwJiB6/ZhQgRtY0Z4FA/fazUcIr7KX2lYRHmDvMziNUDwvjeoLy+ItEFRjMRj9IFAkkGMYTQbuKkOD+v+4UHgoQz4exH16vnUv50CPkmRy+fJfWn4ig5hWL0O3YBBo+a59YX69MQeEpl130ql9KZCvecS6K3vn7kDCQIWkLwivT8/xiGMZ9gC7vy3/tExngH2tUhp5XQqIZhmEY94MNYTkceA8hsyR0t2SmweD8uS00rBDO5076I0gv//e+yyJD5rYzUfTP/iui05AeMIiQoSUNHAgdsuYVBmNY6682mNdnlzcYk3X0aZi+OscwOQm0cdBnhOew9HgFa6/60LazUdS+etqEGjmZuMRkeuSnrVa9rLMTyBp82rs29fhhs3jmSILy+ntcghKG8SbuxibS0N/3iqQY0Jb9/NHafE8zDMO4ORwamcOBAKeqKQXg6eLuXgp/PteM3jWFp3258jjdfZCagcsZ4BEHYxgEotN73vAK01Kew1QYhvEQZFsraVnR6B08ZGYYzd97iTyJaVv1EwMgK6Oa/Ca7gFSBzDwpGdYm+4+LYZj0gSzoI+bso3ORMUKaZMrARpmqJcswDMN4kSFs0qRJFBoaSnny5KFmzZrR7t2p2d60zJw5U8zCqAu+58kMbF6eqhVPFeMMziGZBp9tVYEqFctHkfcT6Ps1p9K1j33ht8VfeLylV+cJHhPIIKldxzAM4wlULJbfItPhz0/Wp0K5jSJhby88RBtORpCncPSqMQsjMjW+2L6Seb07aGRKRnSoQjVLGkOyf326kUjkwTBMzuSz5cdFhAO0eZGB3d0noxmGYZgcEho5b948euONN2jKlCnCCDZhwgTq1q0bnTx5kkJC9EUog4KCxOcSTw85gM4Iwi36/bLDnN49JwC9sE961aanpu6imdsv0KMNSoskAM5w6oYxHFQvfb0zTBvchHaeixI6ajCoucuAiWEYxhWM71+fJqw5Td1rlxAZdl+onkxfHTJ2Ad7/5zCtHtmWCuTxTxNmCE2rhWGXqXqJAkJbz16GxKxi2aGr9Nmy40KMGlo88MRAuy1D5ZtWKEodq4cIHcCIe/Fmw5M7gGQG/45oRVfvPMjyJDwMw7iOObvDRf8VfN+/vsj4zjAMw+QM3N4jbPz48TR06FB65plnqGbNmsIgFhgYSNOnT7f6HRi+SpQoYV6KF89eXZCsoGmFIsIdG5kG3WWg4gitKgebM2P2mrSNbt6Lp4SkFDpy5S6lQHHUDlLzpmrxjJ0zBlDtq4WIASIbwRiG8cQkEaMfqSmeFaBUPqJDH3US2Qqv3Y2jr1adSPOdEX/tozFLjtLhK3dpQdhl6vnjFtroBt5jUffj6Y15B+l6dJwYiHb6bhO1+2aDSHZyMcpoCCtfNFBManz+aB3hpaHqZrrLBBYbwRgm54LJ048WHxGvR3WpKiYZGIZhmJyDW3uEJSQkUFhYGL333nvmdT4+PtS5c2fascPo/aTH/fv3qXz58pSSkkINGzakL774gmrVqmV1+/j4eLFIoqOjxd/ExESx5BQ6VTOG82XVMcvfyejvvdutCi0/dE28fnP+AZFSfvu5W9SuajA1KV9YZPpC9i89zkQYPcIqFMnrltfKVWXk6XA5cRlxXcr6+80vVwp91qsGDZoRRrN2htPDtYsLoWfJrvO3xN+8/j7k6+ND9+OT6JU5+2nR8ObC0JRd/HfkKiUkp1isuxEdT+2+2Wh+XyK/f4bbXW6XuIxcBdclx8soJxAeFUsvzgqjpBQDPVKvFI3oWDm7D4lhGIbxJENYZGQkJScnp/HowvsTJ9LOXoNq1aoJb7G6devS3bt36dtvv6WWLVvS0aNHqUwZ/Sxx48aNo7Fjx6ZZv2HDBuF9xthmzZo1GS6id+oRfXPIlzadjjSv23QqUiygfH4DPVM1mQor0guJKUS3YoxV+NierXTRMqrH48rIG+By4jLiupT191uzYj6066YPvT57N71VN5n8fIgeJBHdizO2r2MbJJBvLqKfjvnS+XtJNPjXLTSyTjL5Z6GTFRyEr8QQheQlWngWP+xD7UqkUNuSKbTpmg/tjMhFCSlGGYRAXwNtWPufy36b2yUuI65LmU9srNGb0925F5dIz/2+h27HJlKd0gXp6751PV6ChWEYxhNxa0NYemjRooVYJDCC1ahRg3755Rf69NNPdb8DjzPokKkeYWXLlqUOHTpQ0aIsmm5r9g4DhC5dupC/f8atUFEFTtHUrUatBS0X7+ei747loTnPNaFqJYyJAUQIzK6twlvhsf/1cMuOiKvLyFPhcuIy4rqUffdbi9gE6v7jNroek0jh+arRy+0r0juLjhLRVQrK40ePPtJVfK9p2zj636QddCU2kQ5QBRrTs4bLj+1BQjKhKUeIOjS0EEJYNF9uGrPsOM09fJnyBfhSTHyy2HZAx4YiCcAgIjodcZ+++u8UbT0TRe8/XJN6Ntaf+HIGbpe4jFwF1yX7yGgMdwZZyl+ds1+0NyEFAkTYNTT/GIZhmJyHWxvCgoODydfXl27cuGGxHu+h/eUI6OQ3aNCAzpw5Y3WbgIAAseh9l40XjpWxK8ppVNfqFB2XJASbX+1YhTaeiqDNpyLFoAhizffikuiF2QeEyDAyY56IiDEnB8idOze5M1yXuJy4LvE9567tUkhBfxrzSC16be4BmrzpPFUuHkSL9l8V2yBUUrbvZYv6C0HoITP20Kxdl6hl5WLUs45R49EVwPDVe9I2EYL5VLNyNGPbBTKYBp8SaQQrki839ahb2ry+ZunC9PuzzchgMLh8UoTbby4jrkuZT07ob3+58jhtOHmTAvx8hBGsREHPzkrPMAzjybiXeqwGGDcaNWpE69atM6+D7hfeq15ftkBo5eHDh6lkSdd11pnMAbNqXz9Wjz56uCYVDPSnXvVL03f96tG3j9ejA6O7UGjRQLpy5wEN/zOM4pOSafvZKPG9skU4fJVhGCYj/K9eKWpfrZjQ3oIOGIAn1oT+DSy2Q1KR4e0qidfvLDxEYReNOmIZBQYseFogw2NsQjL9tuW80N9RjWCgQrAxy+JjjfQ9vtzRM5hhmJzPvD3hol0C6Js6m+WcYRiGcS/c2hAGELL422+/0e+//07Hjx+nF198kWJiYkQWSTBo0CALMf1PPvmEVq9eTefOnaN9+/bRwIED6eLFi/T8889n41kwGaVQYG6aOrgJFcjjR3sv3qZqH66iv3aF2xwQMQzDMI4BA9KnvWpTXv/UMJ/GoYXFpISWUV2rCk+xe/FJ1HfyDpqxzTg4zAgINULbntvPh/o0TPX0yqMIkW19pwNteLO9mBh5PxPCMhmG8SwmTZpEoaGhlCdPHmrWrBnt3r073RkiPzRliHytUxV6uG4pFx8pwzAMk9W4dWgk6N+/P928eZNGjx5N169fp/r169OqVavMAvrh4eEik6Tk9u3bNHToULFt4cKFhUfZ9u3bqWbNmtl4FowrqBySn356siENnm7ZkWlVOZgLmGEYJoPAuxZGrs+WHxfvQwroh/1At+vnpxrSa3P3085zt2js0mMUdvE2jexSlSoVy5+u39538bb427BcIRrfrz41CS1CR6/epXe6V6fF+68IA1mZwoHmiRGGYRhbzJs3T0ymT5kyRRjBJkyYQN26daOTJ09SSEiIw4V3/No9enHBSUpMNtBDdUoKQxjDMAyT83F7jzAwYsQI4dUVHx9Pu3btEg80ycaNG2nmzJnm999//715WxjDli9fLjTCGM+gXdVi9Fnv2ub3fw1tJrRiGIZhmIzzTKsK1LRCEfG6ay3LjM0qxYPy0JyhzWlwi/Li/bJD1+h/E7cKg1h6kKHuDcsVFn+faFqOPutdR2hGPt0ilPo3KZeu/TIM452MHz9eTIwjggST4TCIIRM8Mss7w4g5B4T3K9pFhET6+HD4NcMwjCfg9h5hDKNlYPPyQkiZtWAYhmFci69PLpr1XDO6E5tAIUG2haDRBn/4cE06FxlDW05HUkxCMj3/+x7656VWZi0vFezz8u0HVLFYPjIYSHh5wbssPCqWlh4yivN3quG4pwbDMIweCQkJFBYWZiGdguiRzp07044dO5wqtFuxiVQ7tChNHdxYZLNlGIZhPAM2hDE5EjaCMQzDZA4wUNkzgklgyPrj2aZ0ISqWXp+7nw5evkvPztxD/7zYkgor3rpIcIKMkNhOUjjQnyY91ZAi7ycIwxjEpxuVN3qjMQzDpJfIyEiRLEvKqEjw/sSJE7rfQSQJFkl0dLT4WyE4L00b1IDy+hIlJiZ65EWR5+Wp5+dt5wn4XD0Tb7muiRk8T0e/x4YwhmEYhmEyNDEBDzAkNIGx63xkDA2ZuYdmP9+M8gcYuxnQ+VKNYOB2bCINmb7HHN5eqVhaLzKGYZisYNy4cTR27Ng06weXu0e7N6dmr/dk1qxZQ96At5wn4HP1TLzluq5J53nGxlr2N63BhjCGYRiGYTJMsQIBNPOZJtRn8nY6eOkO1R7zH00f0pg6Vi9O+y7eEdsMa1uRyhUJpKNXo+lWTDz9d/QGXY+OE59JMXyGYZiMEBwcTL6+vnTjxg2L9XhfokQJ3e8gjBLi+qpHWNmyZalnlw5UtGhRj74g8J7AgLNLly7k7582U7Cn4C3nCfhcPRNvua6JGTxP6dFrDzaEMQzDMAzjEqoUL0BTBjaip6buEu+H/7mPfhnUiA5fuSveVy9RgPo0LCNep6QY6PcdF+jLlScoPilFfMYwDJNRcufOLbLGr1u3jnr37m1qb1LEeyTg0iMgIEAsWjAI8+QBpzeeq7ecJ+Bz9Uy85br6p/M8Hf0OG8J0MECshIju3bvnFZUsI9ZauB7C6srlxGXEdYnvN3eA26XsL6M6Iblp3YgmNHrJEdpyOooGT9kk1vv55KKGJQIsZur61ilKHSo0pmPX71GLsoEOz+JlBVyXuIy4LmUd8t6XffCMAu+uwYMHU+PGjalp06Y0YcIEiomJEVkkHcGbxgLe0tZ5y3kCPlfPxFuua2IGz9PR5wkbwnSIijKmca9QoYLTBc8wDMMwjD4VxnPJMAxjHRieChYsmOEi6t+/P928eZNGjx5N169fp/r169OqVavSCOhbg8cCDMMwnv08yWVw1dSLB3Hnzh0qXLgwhYeHu+Rh7KlI/YRLly5RUFBQdh+OW8JlxOXEdYnvOXeD2yUuJ65LfM+5GxiOYNBSqlQp8vHxye7D8aqxgLc8E7zlPAGfq2fiLdc1OoPn6ejzhD3CdJAFhgefJ1cyV4Ey4nLiMuK6xPebO8HtEpcR1yW+39wNbpds404GJ28cC3hL/fSW8wR8rp6Jt1zXoAycpyPPk+yfcmEYhmEYhmEYhmEYhmGYLIANYQzDMAzDMAzDMAzDMIxXwIYwHZA+ecyYMbpplBkuJ2fgusTl5Cq4LnE5cV3KWvie4zLiuuS9eNP97y3n6i3nCfhcPRNvua4BWXSeLJbPMAzDMAzDMAzDMAzDeAXsEcYwDMMwDMMwDMMwDMN4BWwIYxiGYRiGYRiGYRiGYbwCNoQxDMMwDMMwDMMwDMMwXgEbwhiGYRiGYRiGYRiGYRivgA1hDMMwDMMwDMMwJiZNmkShoaGUJ08eatasGe3evTtHlc3mzZvpkUceoVKlSlGuXLlo8eLFFp8bDAYaPXo0lSxZkvLmzUudO3em06dPW2xz69YteuqppygoKIgKFSpEzz33HN2/f5/ciXHjxlGTJk2oQIECFBISQr1796aTJ09abBMXF0cvv/wyFS1alPLnz099+/alGzduWGwTHh5ODz30EAUGBor9vPXWW5SUlETuxOTJk6lu3briemBp0aIFrVy50uPOU8uXX34p6vDrr7/ucef68ccfi3NTl+rVq3vceUquXLlCAwcOFOeDdqdOnTq0d+/ebGuXvNoQhsJmGIbvOXcADzvGNhERERQdHc3FZIPLly/TtWvXxGt+xlnnzJkztGzZMi4nO6idaa5P9uEy8gzmzZtHb7zxBo0ZM4b27dtH9erVo27duolnUE4hJiZGHDcMenp8/fXX9OOPP9KUKVNo165dlC9fPnGOal8Eg82jR4/SmjVrRHsJ49qwYcPIndi0aZMwFOzcuVMcZ2JiInXt2lWcv2TkyJG0dOlSWrBggdj+6tWr1KdPH/PnycnJwpCQkJBA27dvp99//51mzpwpBuTuRJkyZYRRKCwsTBgPOnbsSL169RLXyJPOU2XPnj30yy+/CAOgiieda61atUS/TS5bt271yPO8ffs2tWrVivz9/YUB99ixY/Tdd99R4cKFs69dMngJ8fHxhm+++cbwyy+/GHbt2pXdh+O2JCQkGLZs2SJeJyUlZffhuG0ZTZ8+3fDPP/8Yjh8/nt2H49bl9PXXXxu+++47w+LFi7P7cNySlJQUsYwYMcLQsWNHQ1RUVHYfktu230888YShevXqhn379mX34bjt/TZ06FBDqVKlDOPGjcvuw3HrujRs2DBDrly5DKGhodl9OG5dTu+8846oU6NHjzbExsZm9yG5bb/yt99+M2zdujW7D4dxIU2bNjW8/PLL5vfJyck5um3FcG/RokXm9+h3lChRQtRfyZ07dwwBAQGGOXPmiPfHjh0T39uzZ495m5UrV4q288qVKwZ3JSIiQhz3pk2bzOfl7+9vWLBggXkb9N2xzY4dO8T7FStWGHx8fAzXr183bzN58mRDUFCQuM/dmcKFCxumTp3qked57949Q5UqVQxr1qwxtGvXzvDaa6+J9Z50rmPGjDHUq1dP9zNPOk+APkXr1q0N1siOdskrPMJWrFghXOwWLlworIxwFYYrLZN2BgwulW3bthUWaV9fX0pJSeFiUsCsRPHixWn69OnCRRdW+fnz54vPuKwsy6lYsWLCUo+ZjCeeeIJ++OEHLicNcIG+c+eOaJs2bNhgrktMKmiz4fp88eJFmjNnDjVo0ICLR8OlS5fELNuRI0fErOGTTz4pPFPYO8WS8ePHU8GCBen48eP02muviXqldblnSIRQlS9fXoSCITThm2++oaFDh4pnHNcpI2irS5cuTUuWLKFZs2ZRv3796KOPPhKz8kzOBtcQHjcIyZH4+PiI9zt27CBP4Pz583T9+nWLc0TbiBBQeY74izaycePG5m2wPcoCnhruyt27d8XfIkWKiL+4lvASU88VoWflypWzOFeEaKF/L4EXCjzQpbeVuwFPoLlz5wrPN4RIeuJ5wtMP3k7qOQFPO1f0QxDCXLFiReHthFBHTzzPJUuWiPbk8ccfF/YG9Od/++23bG2XvMIQNmPGDOrfv7/ZbRZGsA8++EC4DnKnxQgGT3CfRjk1atSIRo0aZR6oM8bwkAkTJogy+umnn2jLli3CwIObD26cGCDgJmSI3n//fWG8gDEMbrx///03vfTSSzR16lQxiOJysgQPqk6dOgmdALRLMGowRtAhgMEZBoxt27ZR/fr1LcIdGCOrV68WnQW4xbds2VLcY2izuP02EhUVRTVr1qSvvvpKGC3gRv/www+Lzifc7plU4uPj6ddff6Vnn32W1q9fLyYwYID+559/RH+J6xSJAQY679BhQV3CZCu0ez7//HPx98GDB1ylcjCRkZHCyKAOLAHeY5DmCcjzsHWO+IvBqoqfn58wMLlrOaAvjj4DJoZq164t1uFYc+fOLQbPts5VryzkZ+7E4cOHhVZUQEAADR8+nBYtWiSeb552njDyISxZz3HFk84VRh7YI1atWiWeHzAGtWnThu7du+dR5wnOnTsnzrFKlSr033//0YsvvkivvvqqCOfMrnbJ40fuqFAwgLVr1068h2cYOniDBw+miRMn0v79+8mbkV5MZcuWFVZ3DMRfeeUV4cmDGGV0etEh8GZgvIFFHkJ8jz32GA0YMECsR7w64rrhOXfz5k3ydmQ9gTYDjGGYIQdonDCAeuaZZ8yDKG/2KpDnLv8iVh56RdABgNgre6um6hLB0IwZMsx2wUCIhyY8U/DgxODTmz0xVY8vaIVACwb6C7jvunTpQk2bNhWaCe7WEcoO0En6/vvvhaczhGZBtWrVxL0ntTi8uU1Szx+DrI0bNwrjvAR1CHWJ+wLGMoLBGfUGhnqAeoQ+Jjrr6NBjooxhmOzxIIJnNIwongqeXQcOHBDeL+gTYTwLrSVPAv09eG3Pnj1bJKvwZHr06CE8pDCmhCcX+raIFPHECJGUlBRq2LAhffHFF8IbDP0K9OmhB5ZdeJwh7OzZsxYdWrj3YxCOAQKQM3Vw9UenGBXOG73CZDlJ75zmzZvT22+/LQxiEF9EJ/jNN98Un8HQ442gjHDTwniDhhidXogPosxkHYOVHh4qWuu0N9YlWU/at28vykoavWC0QCMHTww0+BhEeKNXgSwnee7yL4wYmB2BEeyzzz6jadOmiXUoM3zHG8sIhgsA4ynacNQnGHZgcIb7ONzFIRALbwxv8zBU65GsQ+j4A3itAnitYqYYXqsQe0aWHm8z9sj2G8BbDh1M1BW5Ds99ZISTZeONbZJeu4RwA2RzwkQhxGzh9QSPXoRuV61aVczmyokfb6lP2jIqUaKEyFaF2W1pCEMoS40aNYTRcN26dcKzjsmZBAcHi/6MNjMb3uPaewLyPGydI/5qkwNgkgoZ29yxHEaMGCEm8dFWQVRegmNFew/jgq1z1SsL+Zk7AQ+hypUri+gdTJxiEgyeu550nujjoe7BaIL+IBZEmCDaBK8x6eAp56oF40o8azFB7knXVDojwXtRBc9NGQqaLe2SwUOYNm2aoVy5coZGjRoZmjVrZvjzzz/NYu8QxlWF6CAqDCAAi+94kyi8tpxmzZolREClSJ0E4nvBwcFCBBZ4cxmhLqllI8sLDBkyxDBw4ECLeuUt2KtLEGn86KOPDG3atBEirX///bfhqaeeEkKIZ86cMXgLtsoJ/PTTT4ZXXnnF/L5q1apC9BGCkt5STnplFBcXJz7bvn27oUGDBoa5c+ea2yEpnl+nTh2Dt6BXRlII9dtvvzX4+vqKuqMKiM6YMcNQq1Ytw9KlSw3egqPPOFC3bl3zvedNzzhrzzn5DFu/fr1h+PDhQjC8cuXKhnXr1hlOnjxp+Pzzz4Vw8e+//27wxjL6448/xPqrV68aBgwYIJ5lKDckhIGYLwSKIQZctmzZ7D50JoOg7iOJjQRtSOnSpT1OLB/PDsndu3d1Ran37t1r3ua///5zO7F8nAsSGyCZwalTp6wKji9cuNC87sSJE7qC4zdu3DBvg+RqEByXfRF3pUOHDobBgwd71HlGR0cbDh8+bLE0btxYjLfw2pPOVS9BABIg/PDDDx53nk888UQasfzXX3/d0KJFi2xrlzzCEDZhwgTRWcNACZl7kIEBleLnn38WhYpBAAYI2A7IinHu3DlDYGCgxcDBk7FWTpMmTTJ3gOVgANnrMEBAh06uQ7l5+mBBr4wwwFTLCHUK5ZCYmCgG6GhwtKiGDm+tSwBZTLR1Jk+ePBYZULy1nKQR46WXXjJMmTJFdOBgtMADENtgAO/tZSTbamSyxcNQZefOnaIueUMWSVtlhPvr6NGjYrIHWRC1HQEM3jBA9wYcaZfQfsv2Gc+45s2bG7wNR9ol3Htdu3ZNY/RCG/X+++8bPB17/UoMOvr37y8MZDAOwugMDh48KDryFy5cyO5TYDIArjsGXzNnzhQDL0yoFypUyCIzm7uDAfX+/fvFgoHj+PHjxeuLFy+Kz7/88ktxTv/++6/h0KFDhl69ehkqVKhgePDggXkf3bt3F/3cXbt2ifsAdR2DWXfixRdfNBQsWNCwceNGw7Vr18yLmukWhn0YtWHkxwAaA285+AZ4jtauXVu0eQcOHDCsWrXKUKxYMcN7771ncCfeffddkQ3z/Pnz4prhPQwAq1ev9qjz1EPNGulJ5zpq1ChRd3FNt23bZujcubNwREH2U086T7B7926Dn5+fmFQ7ffq0Yfbs2cIOo453srpdyvGGsJiYGEOXLl1EJ0Wd8W3btq2hTJkyokKgQ4cOLyoSZvIkixcvFuuQitTTsVVO5cuXF2WhrgeoYDAgvv322+Lm69GjhyEsLMzgqThbRnjQoo7BOg/QwcCsjKfjaDmpn8m/eICXLFlSzGB4eznBQw6gbcqdO7eY9UGHLjIy0vDCCy8YKlWqJF57cxn9888/ab4jjRgTJ04URh48TL21jDBRsWzZMvH+q6++Ekb7+fPnm7+LjhS85rzBqJqeZxw6oC1btjTcunXL4C3YKyfpNXL58mVhlJeDZnS2MTuNWXl0Yr35npNlhDJRZ+EBjIQ1atQQRggmZ4NnDMYIeD7DQwyTLzmJDRs2CAOYdpH9VNRreO0XL15cGP06deokPD9VMCmOAWb+/PmFh8kzzzzjdnVb7xyxSOM0wCAak45o0zDwfvTRR0UfXgXGa4xz8ubNKwwReD5gwtudePbZZ0U7jToJYweumTSCedJ5OmII85RzxYQKxkW4pujT4r0aDeIp5ymBcxIMd2hzqlevbvj1118NKlndLuV4QxhmL4sUKWL466+/xHtpMXzssceEmyzcKFE4KMRWrVoZGjZsKGZ6UMlQ2VBxVCujp2KvnJ5++mmz9VkONPGdt956S8w2YIDVr18/j/YIc6aMAEIi0DGGCy8eTjBkwHKN8tOG4HhzOUkwk4r7Edvdv3/f4Ok40jbBSI+HAGZ8VDffS5cuiQcaZoA8mfTWJZQPOgNqp8ib69Ht27fFPYUywUAdA3gY5p977jkxa6ZOAHkqztQl2UFcvny56Gh5kyHMkXKCcQfGoPr164s+Eryc0NFGfYKR58iRIwZPxtEy0oIZfZQXjNIMwzAMw7g3OUpleMGCBSK7AEQBkdlIigZCBPeTTz4RorcQNUeWCaRL79mzp8gYicyREJ77+++/hag5tm3btq3ISvHzzz97XEaK9JQTso9I0WAICkMA/ttvvxULskmeOnWK5s2b5zHC+RktIxiRly9fTtu2baPSpUvToUOHxLJ48WJRfp4ivJzRcoLA48KFC4XgMjJsQkh4/PjxlC9fPvIk0lNOO3bsEGLLyGILcXMIn0og9IpkHh06dCBPwRV1CW3QqFGjqH79+iLxyTvvvEOeRHrL6MKFC+KeQvk8+uijQjAY2W0htop9QqDUk8hoXZLJGPAXaeiRgcsTSW+fCe103rx5hTAxRIuR0ap169aivVqyZIloy729Ll29etW8j0WLFol2CVmw0DdAkg+GYRiGYdwcQw4A4UGYiYPuAjwnILQG90GpXQFtnYoVK4oFs3VwHZRhR4hFxayvBB4YcClE3Kmn4cpywoxv7969zZ97Cq4qI3h9QSwXmjxquXkKrioneIEhvKBbt24eKdjtqnLyZA9CV5UR2m0IaMI9fsmSJQZPwpVtN4B3mCcmWnBVOUnPZoT/QbPC08hoOclwWxAeHi7KyNPKyZX3HESLn3zySY9rlxiGYRjGk8kRhjAIayM+H51WSd++fYV4mtRqQKgMsgagEyNFcREGgU6Mtwhzczllfhmp+jt62Wk8BVeWE0JsPBW+57K2LrmbNomr4HrE5cT1ie85hmEYhmGyjhxhCIPuSZ8+fSwGQhgwQbuqY8eOZq0Gbaa+efPmCSE2raicp8LlxGXEdYnvOXeD2yUuI65LfM+5G9wuMQzDMIx343YaYZs3b6b//vuPkpKSzOuqVKlCR48eFa+h5wGOHz9OHTt2pLi4OPr333/FOmgz3bx5k06cOCE0d0aOHEl9+vSh4OBgodvgSXA5cRlxXeJ7zt3gdonLiOsS33PuBrdLDMMwDMOkweAm3Lx50zBo0CDh5VWvXj2RfUdy9uxZkSYWGfq+/vprQ4sWLURYzbp168S2SLMpCQsLE9pW+BxZ/TwNLicuI65LfM+5G9wucRlxXeJ7zt3gdolhGIZhGGu4hSEMqcx//vlnIaiNcEaIko4bN04I20u2bt1qeP755w0NGzY0jBgxQnRwANJYQ29GZd++fQZPhMuJy4jrEt9z7ga3S1xGXJf4nnM3uF1iGIZhGMbtDWFg586d5ow7Y8eOFR5g+/fvT7NdfHy8+TW0wWrXrm347LPPzB0fT4fLicuI6xLfc+4Gt0tcRlyX+J5zN7hdYhiGYRjG7Q1hKSkpFu+RrnrYsGGG6OjoNJ8/ePBAZBaDF1mDBg0Mhw4dMngLXE5cRlyX+J5zN7hd4jLiusT3nLvB7RLDMAzDMG5vCNN6fM2fP9/g5+dnWL16tcXnly9fFgawxo0bG4oUKWL466+/DN4IlxOXEdclvufcDW6XuIy4LvE9525wu8QwDMMwjJZc+I/clJYtW1K+fPlo9uzZFBISIjJCFitWjObMmUNXr16lUaNGZfchugVcTlxGXJf4nnM3uF3iMuK6xPecu8HtEsMwDMMwwC0NYUlJSeTn50dHjx6levXq0fjx4+ns2bO0detW+v3336l27drZfYhuAZcTlxHXJb7n3A1ul7iMuC7xPeducLvEMAzDMIzbG8JUmjZtSnv37qVy5crRL7/8Qt26dcvuQ3JLuJy4jLgu8T3nbnC7xGXEdYnvOXeD2yWGYRiGYXzctQjgAVanTh3hFfbbb7/RhQsX2AjG5cR1ie+5bIfbJi4jrkd8v7kb3C5xGTEMwzAM4wGGMF9fX+rbty9FRkbSc889l92H47ZwOXEZcV3ie87d4HaJy4jrEt9z7ga3SwzDMAzD5JjQSIZhGIZhGIZhGIZhGIbxaI8whmEYhmEYhmEYhmEYhnElbAhjGIZhGIZhGIZhGIZhvAI2hDEMwzAMwzAMwzAMwzBeARvCGIZhGIZhGIZhGIZhGK+ADWEMwzAMwzAMwzAMwzCMV8CGMIZhGIZhGIZhGIZhGMYrYEMYwzAMwzAMwzAMwzAM4xWwIYxhGIZhGIZhGIZhGIbxCtgQxjAMwzAMwzAMwzAMw3gFbAhjGIZhGIZhGIZhGIZhvAI2hDEMwzAMwzAMwzAMwzBeARvCGIZhGIZhGIZhGIZhGPIG/g9TQZ4MUWb4dQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0.9, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "markdown", "id": "14475815-a774-44f9-8952-7459ec89e4c6", "metadata": {}, "source": [ "## Perform experiments to test whether the uncertainty estimate of the parameters is reasonable" ] }, { "cell_type": "code", "execution_count": 10, "id": "fd89ad72-a894-4012-bc55-f37d2377ea21", "metadata": {}, "outputs": [], "source": [ "def model1(headseries, rain=rain, returnmodel=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model and a Gamma response function\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.add_stressmodel(sm)\n", " ml.solve(report=False)\n", " if returnmodel:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "code", "execution_count": 11, "id": "f28b1b8c-ee4e-446f-bac7-594ef270dc5c", "metadata": {}, "outputs": [], "source": [ "def model2(headseries, rain=rain, returnmodel=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model, a Gamma response function, and an AR1 noise model\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.add_stressmodel(sm)\n", " nm = ps.ArNoiseModel()\n", " ml.add_noisemodel(nm)\n", " ml.solve(report=False)\n", " if returnmodel:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "markdown", "id": "35aa618c-e9b2-4911-9e52-ec2a6b1df94e", "metadata": {}, "source": [ "A numerical experiment is conducted to test whether the Pastas estimates the uncertainty of the parameters correctly. In the experiment, the synthetic head consists of the true head plus an error. Different errors are generated every time. A pastas model is created of the synthetic head series with the introduced error and it is determined whether the true parameters are within the 95% confidence interval of the estimated parameters. The experiment consists of 1000 runs of heads with different random errors. " ] }, { "cell_type": "code", "execution_count": 12, "id": "1038c83e-ff9a-427d-abb0-6fb6ae751137", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def experiment(nexp, nparam, model, ptrue, pnames, sigh=0.1, rho=0):\n", " \"\"\"\n", " nexp: number of times to run the experiment\n", " nparam: number of parameters to estimate\n", " model: model function to call (as defined above)\n", " ptrue: array with true values of the parameters\n", " sigh: standard deviation of the errors in the synthetic head\n", " rho: correlation between the errors in the synthetic head\n", " Returns:\n", " p: DataFrame with estiamted parameters for each nexp runs\n", " sig: DataFrame with estimated standard error for each nexp runs\n", " coverage: DataFrame with 1 row and nparam columns with the coverage\n", " of each parameter\n", " \"\"\"\n", " head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1999\")\n", " head_errors = [\n", " head + generate_correlated_data(len(head), sigx=sigh, rho=rho, seed=i)\n", " for i in range(nexp)\n", " ]\n", "\n", " p = np.empty((nexp, nparam))\n", " sig = np.empty((nexp, nparam))\n", " rsq = np.empty(nexp)\n", " rmse = np.empty(nexp)\n", " for i in range(nexp):\n", " if i % 100 == 0:\n", " print(\".\", end=\"\")\n", " p[i], sig[i], rsq[i], rmse[i] = model(head_errors[i])\n", " print(\"\\n\")\n", "\n", " coverage = (np.abs(p - ptrue) < 1.96 * sig).sum(0)\n", " p_df = pd.DataFrame(p, columns=pnames)\n", " sig_df = pd.DataFrame(sig, columns=pnames)\n", " cov_df = pd.DataFrame(\n", " coverage[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", " )\n", " return p_df, sig_df, cov_df, rsq, rmse" ] }, { "cell_type": "markdown", "id": "08ac7d5e-409b-4018-baa0-5793f8a567b0", "metadata": {}, "source": [ "### Experiment 0. Uncorrelated errors, no noise model\n", "The coverage is pretty good and close to 95% for all parameters. This shows the standard error estimation in `pastas` is correct when the residuals are uncorrelated." ] }, { "cell_type": "code", "execution_count": 13, "id": "577744e3-f278-4e94-a9d6-b32b6b1ef51c", "metadata": {}, "outputs": [], "source": [ "nexp = 1000 # 1000 runs in the experiments in this notebook" ] }, { "cell_type": "code", "execution_count": 14, "id": "5135aebe-00b4-45ec-8ddb-a8b32e8beed0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage95.694.293.995.2
\n", "
" ], "text/plain": [ " A n a d\n", "coverage percentage 95.6 94.2 93.9 95.2" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# no correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0\n", "p, sig, coverage, rsq, rmse = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=0\n", ")\n", "coverage # number of estimates in 95% uncertainty interval (out of 1000)" ] }, { "cell_type": "markdown", "id": "3dceee4f-bc83-4c2c-b96d-c9e6b9d73b38", "metadata": {}, "source": [ "### Experiment 1. Correlated errors with $\\rho=0.9$, no noise model\n", "The first set of experiments are for the case that the standard deviation of the error is $\\sigma=0.1$ and the correlation between errors from one day to the next is $\\phi=0.9$ ($\\alpha\\approx 9.5$ d). \n", "\n", "The coverage is not very good, as expected. The coverage is low, because the standard error is estimated too low when there is large autocorrelation in the residuals. " ] }, { "cell_type": "code", "execution_count": 15, "id": "091720e0-39f0-4f48-9f13-b97ef408b912", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage33.442.739.031.3
\n", "
" ], "text/plain": [ " A n a d\n", "coverage percentage 33.4 42.7 39.0 31.3" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "p1, sig1, coverage1, rsq1, rmse1 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "coverage1" ] }, { "cell_type": "markdown", "id": "f1d1d225-537e-4bf2-a64d-a4e8f8db9118", "metadata": {}, "source": [ "In fact, the standard error estimate is approximately 4 times too small for this case. As shown below, when the standard error is 4 times larger, the coverage is reasonable. " ] }, { "cell_type": "code", "execution_count": 16, "id": "ad6a3fcb-2244-4d03-b5f2-b5535656faad", "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", "
Anad
coverage percentage93.596.894.692.7
\n", "
" ], "text/plain": [ " A n a d\n", "coverage percentage 93.5 96.8 94.6 92.7" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coverage1a = (np.abs(p1.values - ptrue) < 1.96 * (4 * sig1.values)).sum(0)\n", "pd.DataFrame(\n", " coverage1a[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", ")" ] }, { "cell_type": "markdown", "id": "ff7153f0-6105-48dd-8859-e995e9916e81", "metadata": {}, "source": [ "### Experiment 2. Correlated errors with $\\rho=0.9$, with AR1 noise model\n", "The coverage is much better now as the AR1 noise model is doing a good job. Only the coverage of the $\\alpha$ parameter of the noise model is on the low side. " ] }, { "cell_type": "code", "execution_count": 17, "id": "6959f1f2-1e57-4ba5-91cb-aa3a7a52727d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "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", "
Anadalpha
coverage percentage94.994.695.094.491.8
\n", "
" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 94.9 94.6 95.0 94.4 91.8" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, AR1 noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "pnames2 = pnames + [\"alpha\"]\n", "p2, sig2, coverage2, rsq2, rmse2 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "coverage2" ] }, { "cell_type": "markdown", "id": "d37ce159-0ba7-4ce4-9e34-3873272462b4", "metadata": {}, "source": [ "## Parameters are estimated correctly when no noise model is added\n", "In Experiments 1 and 2, the parameters were estimated for synthetic head data with correlated errors in two ways. First, a `pastas` model was used without a noise model and second a `pastas` model as used with a noise model. It was shown that the `pastas` model without a noise model did a poor job in estimating the standard error of the parameters, as expected. But this does not mean that the estimated parameters themselves were biased. On the contrary, the following two graphs demonstrate that the estimated parameters with or without a noise model are essentially similar. The first graph shows a histogram of parameter $A$ with and without the noise model. Note that the two histograms pretty much overlap. The second graph plots the estimated values of $A$ with a noise model vs. the estimated values of $A$ without a noise model. These values plot almost on a straight 45$^\\circ$ line, which indicates that the values of $A$ only differ slightly with or without a noise model." ] }, { "cell_type": "code", "execution_count": 18, "id": "fab8f933-05e1-4647-8de9-c72fbe824738", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p1.iloc[:, i], bins=20, density=True)\n", " plt.hist(p2.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w/ noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 19, "id": "daf1547a-7c32-490d-944e-3fba45ee2ff5", "metadata": {}, "outputs": [ { "data": { "image/png": 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li4SHh/uHmDrqqKNk3rx5mp8AzIX+8ssvq8BxBxgITNq2kpCQIGlpabodQurkk0/W3Ig333yzQaI4ek5BbOF1iKYLL7xQHnnkEc2TuvPOOzWpnZ4n4m3gkYKQunpCX/lu6wFZueugRBdWSH5plfxt6mD1IM25YLS9wm5/caW2PcD+q/YUyMjuKXLHh2t1f2wf2rWdHg9dz0OtZ1RL8YYN8ncgpJjPSYh3QVpPt27d/ENMoYfTlClTZP369VpF89RTT+lj9HpatGiRV04MienLli3Tx/369Wvw2o4dO6RXr14qqD799FNt2gkDCjGGpp1/+9vfvHIOhFj5cHWmeqSWbD2gLRAw7gWi6KUZR+lQYmsYEFV5P+86KGVVtSqkIJZQkRcTGa4iKyI8TL1SoZpA3lLawgb5Giw4jfFnyxZCWgacMVicmOvKb/pMIS8BVTNIAjW9ohCeQ6uCQIN9cYg7oArPjHvB+BdU6S3dnidj+6RpEjkq84ynyYQB+3dMbNB7CuJrf3GFdEiK1S7nwZg83lbXUzDZIGfQLhESONeTz5t2+gM0WqQp4HVCBR4uFgSUIKL6dUiUFbsOylE9U+XXzEIprqiR9glRMrBTssRFR+h+EFlyaH/jhfLHRpvehNcTf0d/w18b3IbK+YeCXXI7zNecxpZ0SZNgwGrAcG+8UBBUw7q2k2827Zf80kqt0EPoDp6pAyWVklNUKQM6JWnob8mWAxIfHaHvYzivZdAGEU8J9JmWgX7+oYDbYiolJcXtihK0OCAk0LDmPCE/CjlP6E4OjBDKLaqQrzbkSrfUOEmIjpCI8FjtL4V2CAjr1dTVSXhYmAqsPumJkhIfpUILnitAo+g5tEHEUwJ9pqUn509vlp+KqW+++cb+eOfOnXL77bfLxRdfbK+cwWiX119/3a1u5oQEQuuDmto6iYmKkJ0HSjWhHO0MMG8PogmeJ7jbjXHDe43QykiKkdziSomPidC8KDTnPFhWpcfAcuRYeqk8gjaIeEqg92rz5Py5cPNTMTVhwgT7Y1TL/f3vf5dzzz3Xvu2MM87QxM8XX3xRK+oICTSMMLJ6pnbllckXa7Ok1iY6CqbmUFK5tfO4mZk3eXAn7XBuWiGY46EFgjXXCsdn3kPzoQ0iJHS8cYGGRwnomIeFCpr+/fs32L5582YZMWKE9oYKJJgwG5o05QbH6/AmYfxLfkmVHNEpSaYM6aRiCB4sY6QwPgaNOjGsuKq2Tl83q0i0QzCVfKGQfN5W11Ow2SBn0C4REjjXk0dtQNGr4aWXXjpsOxrmsckcCRQgbD5fm6VhOONdsgLBg7YGkwd11CTyIzvV9ydBVd/zi7bJ5a+vULEF71V5Va2G/hz7Rlnn6lld9RBZzj6TtL0Nwgir008/XTsjIy8Uo2oaIysrS8477zw54ogjtJPyDTfccNg+r732mh7LemtqBinxDbgOeT0SnzTtfOKJJ+Sss86Szz//XMaMGaPbMCNvy5Yt8t5777X4pAhpCyBwkB+FUS/Wqj3TvRz5UQM7Jcl5Y3pKfEykhv02ZBdJUXmNVNbUyYasIg3hHd8/XX7akS+nDO4kEwZkHNZKAUOMrZ4o5jK0HG/aIIygGT58uFx66aUyffr0JvfH3FBMYcC0BZyHK7D63bRpk/05R8L4Z+J0S65HJnnzN2mRmDr11FPVaD333HOyceNG3YaV3VVXXUXPFAkYjOcJjTQx6sWE69CME9V3a/YWysbsYs2DQmWeCeWdd0wPeWDeBomJCtckc8zgQ4L5nEXb7GIKQuqtZbvVo+U4Loa5DC3HmzYIndRxcxdMX0DHdfDKK6+43A/iqbGB68Q5bb3YaMn1yIURf5MWiSmA2TYY6UBIIAOjjf5QEEIarquulaXb8qRfRqL0zUiUg6VV2rG8pKLGHsr7fG22vjdMwmR8v3QdZpwaH62J5wZ4pNC4E+LL0UgHemWRv+DvNghd2Xv27KkDi9GdHec6ePDgRj1euHnSVyuYaOvFRkuuR+u5NualCiUP1rkhmvjusZgqKCiQf/7zn7JhwwZ9DiMBNzkSvAgJFHDBwxNlmm5W19TJ1v0lsjmnSKIiIiQyPEw6Jsfovpirtym7WGZO7K8Di2Mjw1WE6egYm00fD+ycrMYSoT14pELBePoKf7ZBAwYMUK/VsGHDNOH1sccek3Hjxsm6detcDllFW5l7771XQh1/WWy4I4Ac8yBdedTc8WBZP8+8p63thzdEX0c/+fdrazxKQF+xYoX07dtX8wXy8/P1hlYJ2IYBxYQECrjwMfLlh215kltUaR//UlUrUlpVK4UVNVJVU6dVeug5teNAqTy1cIs8f8Fo+d3wLhomRIJ5dES4eqhgiMxxHdsnMMnVe/i7DUL/vRkzZmhlIVo6vP/++5pn9cILL7h8z6xZs1R4mRsGHJOm8ca15ewYRgCZa7oprMUmzXnN2ee5+uzWtiPN/c6khZ6pG2+8UftKoZomMrL+EJjcfvnll2tlC6pjCPEn1mYWam4UxA/GvFiBgUPDzZW7C6SwrEo9SjU1VVJzqGlIdGS4JpqjISfCgAgHfrQ6U4VXh6QYyUiO0dyoipr6tgjOYG6Fdwk0GxQVFSUjR46UrVu3utwnJiZGb6R5uHttNeZ1cXaM5oarGvPIuOOtcfw8eMrhNcd5m/NtbTsSqiE6n4kprAqtRkwPFBkpf/7zn+Woo47yyokR0lJMnyg0y1y566CszypSQYWu5Gb71BFd1TihWm9vfn3OVFREmISFhwk6deIuISZCPv4lS6pqaiUtMUZ+N6yz5kQZo2aqApGEjm2OYs3sY70nLSPQbBBGbP3666+aOE+8G3Zy99pqTIg4O4Y3wlXNCd05fh4WdThfLNrMdizWYGtcLdpaSqiG6HwmplDyu3v3bhk4cGCD7XBLJyXV9+IhxNfAcH28ep8+Nsand3qCVtphe2V1rbz+w071PMVHR8px/dNlW26xZBciCdgmNbU2qbOJ/LTjoN5jFt9JAzrI5eP76LGsOVEQaFaj6QiNlHfxpg1CorjVY7Rjxw5ZvXq1tG/fXnr06KHht8zMTHnjjTfs++B18979+/fr8+joaBk0aJB9SsSxxx4r/fr109yuRx99VHbt2qWeM+I+7nhi3L22HAWTdbGFa7qpYzju76rRr1UwWc8fNMeDZmyW1aaYghlXizZX5xHM5PjJd/VITP3hD3+Qyy67zJ5UCb7//nu59dZbG4yYIcSX4OKC4THGzxg2zMY7Y0QXeevHXVJVa5Oq2lopqayVbbklUlljk+q6OkmIjtTHmO0dHxWh+VMYbrwms1CPA2NoNYgUS22LN20QvFwnnXSS/flNN92k9xiLheabaNIJ4WYFITvDypUr5e2339bKPcwtBQcPHpQrrrhCsrOzJTU1VUaPHi0//PCDXWwR92ipR9fxD631mrUutqzeH1e4s7+j+HN2/lYx50wEuOtBa27YMlj5t598V4/EFAwYeqggwRJ5CiYn4Oqrr5aHHnrI2+dIiEeYqjp4opC0iVYGww6t5rD9m425sm1/qX1/5EJ1TYmVjKRYTTrHQOOk2Eg5dVhnWbghV0b1TNVjYsWI44V6CbQv8aYNOvHEE6WxqVoQVI40NYULifGNNfQk7tGSRQquRUw3QFNe4HgcXMeLN+/X9iWOuUnOsO5f4mJ/sw+Go896f416r61eLEcx50wENFcw4VwcK4dDKa3gXD/5rh6JKbiz0bQOpbzbtm3TbaiiwbwsQvwJGJyPVu9TgwP6dEiQrMIK7WbePyNRq/PwdxF/GiGeyqvr5JWLj5a8kkptf/DAtCH2dgfGWLW0BJq0HNog4gojQHDNI48RPeCc/aHFdVpWVSsrdh1UMdKUdwr7o6o3u6hC26c4NuM1++w9WK4tVEBCI8d1JQIaa7eAMCO8Y/huWBACFM+YbSiwcTxGsC/yOvpJnpfHfaYAxNPQoUO9dzaEtFIfKTTizCqq0DyogyVVkl9aJdERIsmxUdKpXYzszi/XppzFFdVqvHBxvnf1ODVASDqHoYKHC6vMxlZC/rJKChVog4IbT0SAWdCM7ZMmU4Z0dvleUzhSXVur1bhW75SzzzXXtOOgc8dj4ji4YYFmPEauqordqfCzVvUhZQGEWUTEA/PW27c19ZsAfxAewYhHYqqiokKeeeYZ+eabbyQ3N1c7/Frxhz4vhMD4PPXVFtmYXSSXj+8tbyzdpblPMHLwRsFZlRgTJgM7JetzhI1G9Uixh/FgxGBscduaW6KrWHDHaYNanAxLWgZtUGjQXBGAax7XLYSUqyRxsx8WR33SE1TUQIgs3rJfx0iZYhJ8LkQMPEuOOVeukr+xD+yDKyCkVu8p0Pu5V45t8vvgeNaqPnwncz4GUxADu+YqVMlFnp+KKSR+zp8/X84++2w55phjOMCT+CUwiB+u2quhu805JRIbFa65UNZsl+LKag0DYlvndrEyc9IRamSxbWSPFM23uPz4eiG2K7+swXuJ76ANCg2aKwJwzS/Zsl9De5hq0Fi+Ea5xcN6Y+oaaGBNVWV2hMzox4ByCzNoCxQip5nrLrPubWaAmHOfOe6ztEJwt1kzjYZyn8YQ5nh8XeX4qpj799FP57LPP5LjjjvP+GRHSTByNm3neKy1ehT4MIvpHYRxMdW1DL2qV6cyJ8SRlVSqkzBYMOkbOxdzle2TOBaMbbX1A2hbaoMDBmfhwV5AYEWA6fze1vwndYREE0WJyJZtKPv9Qm/Ai1FfflBd5TxBZOJ5jqK653jLH/RvzSJkwIAarr9ydr98FXrCm2iFYRaenIb2WiMSOQZaH1WZiqmvXruwnRXyOuZhhDJdsOaCGx7jov1ibLfsKyrXNAUa9QESVVddKz7QE2ZxTrDP3UuKjJS4qXDILKrSHFNok4FjwTsGAjuyeovP2sIo0Ceg0Hv4BbVDg4OyPe3P+4JuqPAwcN9e4q7wma883V7lNeB8EC8L2SCbfmF2sOVPj+3eQaSO6qrBC2M8c11z3sAePfrlJqutsMrpHitsLK2uulaMgdPwOOC8Ux0BU9U5PVFFYVlmr9qixRp1Wz5Onw5ddhTZdwTwsL8zme/zxx+W2227TJnSE+ApzMcOTBGO4JbdEq11gBCIjwqSyplZS4qLlkbOH6oqub3qCzJoyUM45uoc+f/TsYZpc3i4+Srq3j9c2COiEbkAVH1aRZjXIuVX+A21Q4OBsLp07s+oMuO4gKtD3DfdmbhyEyQuLt8tlry1vMKvOCAuT4O0sxAePc0p8lC6UcF9aVd9eAOOhHNsZYP/P12bJdf9eJev2Fcnm7GLZfqC0wXEbm5lnzge2Cos8hBGRNG7EjHUWHs4nNgoLuzptv4FzQzaU8Uy5g1UAwh66mrXn+Nnm38SENpuaz9ecf8NQwCPPFMY1IAG0T58+Wk2D/i5WMHSUkNYEhgg3eJ2wmsRKEq55U9GSV1Il1bX1Abu1+4rk2D7tZen2PPlu6wHZfqBEjSe8TlidokUCjJhZxbrT/4X4Ftog/8exk7cVZzk8JikcVy3K/q1VdBAT8NDEx0TYrz+0H6ioqlVhYxrpWj+3sSo+YDxXuPYxaxOfAfEB7xewenqwrbK6ToUOZnE65jzhvD9Ylamhw79NHaLHdfSM4fhY9CH3cnd+mSa7m+OYfSAA377i2EOhvgRtEowFHvK30AIB262/jTsVja4Ej+NoGmtI1TG06QzmYXlBTKHDMMYrPPjgg9KxY0cmoJM2wxhczNqDQQoPC1NDCAM8dUQXnbWHlV9JRbVEhodrrtS/lu7U/0YToiMlt7hSE1Mra+rkL1P6yqo9BXaji1WpszEOVuPMSj3/gDbI/zF/0PEH21XukqukcGsPJ1PRZk3CBhAtd3+0VgZ0SmpwrZqQIIQNGu06ig8jAqw9nEwCN5r6OgupQeRA3JiKOmAN2WleZlV9vpXJ1bJ+b4DnEDc4J4TyzCxPx5wwfBY84os25co3m/arvcpIitFB646/jSusCz9XwsvVaBqKpDYUUxiLsHTpUhk+fLiHH0tI8zGGEm0KYLx6to+X0T1T9bExtBBWG7KKpaa2TleBcE4hyRz/q6iukp925Et6YrQUllerl8qMmWnMI8XcAP+DNsj/cacvk+P+pj+T477O5uohtwnXv1Xc4P2aZ1RVJ1mFxSpunFW44f3Yd2jXdnqPRRjILaqU7ftL1Y4YgWFmeWKcFMJvEFTAaisg2Moqa9ST1Ck5VtKTYtRj7vi9HYtkrAOQHW0PPOcQUl+tz5Fzx/TQxaKz38ZVAY47yfrWe+IDMYXhouXl5S38aEKah8l16NwuTqIiwnRlCm8SjB3m7cFo3/7eGs016JORoONjduWVSnJspJRU1UpUuGhYAD2l4NGyORgxV8aFRsf/oA3yf6weDuP1bewPfGM9mlzN1auz2TRcBuHz3ZYDhxLJ07UqD3lOGGIOu+CYXI2Q2fz1ORIVEa7FJ6a/FMJ8wNoCxTyGB8yMk4KQMyE041HKSI6V3A25KshQCYhzsnp8GgtDmpAbktzN8RACNJ43qzBrag6fu4s/Vx4oVum1oZjC7Kubb75ZHnjgAe2A7pgzhYnuhHiKY5dggzE4MAJw4V/62nJJTYiW/UUV0is9QfdBdQ6GEydER2oFH/KmuqTESFJNnfTtkKCeqfLqGl1lju+Xrt4pCDFng1ANdHv7H7RBgYW7f+CteVauxIM1j8qEy+AVwnN0M8c98qm6pcarDbB6h3B8hBIRNkO+ZEykTSLCwySroEzOmvODjo8CYYfsEN4LIWOdfQfbBCF3xogu6sFCrtTCQ6GySUdm6PudzfqzVh8jf9N8D7MN5w1vlDUk+v6f6tsPmZCks0o7x8Weu9V8Lf23Ig0JszU1sdMJ4eH1RYDIQ7GCQ2FbbW19p+hAoaioSNq1ayeFhYUUgn7AOS8u1S7BI7qnaO6AYwsEhOgOFFdKTR0MIWbq4b9FkXZxUWoksR3z947ulaohv6LyanXPo5FfUUW1RITV/7eL1gjJcZE6coJGI7Cup2CzQcFul9z9o25EA8QLRIVJnnaWmG6dcIApBj/tyJOKmvrrfEtusQzqnCwnHNFB349wGbw8sCF5pVVyfL90zbmE1+eUwZ3kT2/9rOIKgmjikRmHnYPJa8J3gOfpy3XZ0jMtXvtUzfs1SwUZRlNBYEGEQeCh1QL+68RnmiphLAYRWoTYQ2NQbMc2LOhMrpYzEWmdN2hSGtyxWeb3dHf/5vxbBRpFrXw9eeSZwhgZQloLxy7BpiM5Vn0oFcbqs0f7OMkuqpSUuEjJKqqUOpvIQe3JUi3VdaLPf9p5UKprau1iC3kMAIYPRqmyulZS0+KZMxCA0Aa1PS35I+uud9d4n6+eUF8cgrAXPEbFFTWaBymHBJVZXCGUh2sZrU2S46LkYF6ZjO6JRPEItR8ILyJ0N29NluQWV0h0ZIQM79ZOt2NYMc4Ln1N7aCQaxLirXC/jsYHwgZCCGMMiDSII4UKIMIgnLPQg6lB9iP2Lyqs0d/M3AzO0+hhiC4s9VB8jD8oIRpPvhBAkimiQxmA88+b3w3txa6znVEtTFOiJb0MxNWHCBA8/jpCmgQExjfdg9IzrFPfoDIyRMFhFolIPN+RJwBtVXVNnF1JyqLoGzTkjI+oN2XnH9FA3+jlHd9fxMFjNzpzUP6hWX6ECbVDb0xbhHxwfCeS4TmEDUHACcYHAW1RkmPx72W7NjUL4Dp5oLIwQykfSONqfQKDAO433QnRAiJVW1GhuFYRMfFSEXv9ol4KcJyMy4G1as7dAhnVLUS8WgO2xfk8Iu/8s36Ovw6uEz0L1H46740Cp/Lq3UN8PURdRhVCdTdMJdtts6qnCRIXaQ3YqNjpCThzQ4bD5gaaiEdXGzub3uarA8yQvCiIT4s8k8AejN8rvxRQhbWm4sRLF6g8rURiaWkSmbf8TTUgmP3Mk8hf2qYCyAuOFJFRTvQejCyGFFSX6xdBwEOIe3irEcJYXZa55M+YFYTB4Z2ZO7C93fLhWQ/PwRENkoJq3U7tYvaZhCrBgwrSDwV2SNZEc90gVQBI6hA+a8VZV1ekirKq2Sh7+YpN6pWOiIrSKD6LkwelD5S/vr9EcqJW78uVAaZWeB8ZI4Rja7qCipkF1nRk3A885uqij3xVar8DbhLwmiB7Ymd8O6qhiC9422CC0dcFiEAUyEIvGg2a+P8Qjjudsfp+3/g1MAj9wVp1Img/FFPFLHId7mko9CKOcwnKJiIApEh1e/My5I/U9n/yyT8LDRF3qML4QW11RzlxTp+XKEGMAq0pU3rgySMGaM0BIS3A3/OPo9XBVfebYh8n8MUcfJogptDVACO69q8fZZ20++NlGFUfIO0KYLb+0Sr1OBeXV8tj8zZoGALEE0dM1JVaFVnF5lWCNhVB/fFSkDOvWThPGa8urNY/KzN2E56iiulY9TvB0Q5gh5whCaOXOfD1Az7Q4GdI1Rb+bqRKEIINwg2erX0Zig/YF1sR1MGFAhr3ABvsj1IhzgF2D9wo8OH1Yk/8G1r5U5jd1Za9cVQ9CLMIWOrZuIJ5BMUX8DjM7C+5+GFis2lC5h1WfAQYUxjHiUCLyrf9dowYtJipc+qclaGIpDDJWsTCoP2zL0+RQs5rkzClCWgdHr4ejAGus/5R5DLECQYQ/+Nbk6Z15ZfL2st16PcMDhFwphP1gI66a0EeHkrdHhW9xpeQU1ecuASyy0hNjJC4qTFbtLpCk2ChdXEE4IYn9590Htd0KFlkxEWFyoLRayqtqdF+MprJJmNTU2qS4olb25JfpeX26JktTDExSOQTYil0HdaA6qgyRRoCO7TgXq5gxobqh3dqpiELIEkUyyOl0JmaciSGr5x5gTI11bqHjv4ej1wnP673zsfb9mzNQmnhpNl9rlTqjCueGG26wb8PImmuuuUbS0tIkMTFRzjrrLMnJaTifaPfu3XLaaafpWJuMjAy59dZbpabmf6sdEhjgIsa8KogouM3N7CzjRscK1Mq5x3S3J5Lf9M4vcqCkUleEGPkwqkeqGle8B806kcMAw4twobNZXY5w5hQhTV+vrmbR4frBwgXXnLUlgbm+AQQSHiMPyTobDtc6vFrwaKHNyfqsIvt7THI2wvPj+qbptb90W54UlFXpggnh+y05JZr/hIUWFlzYnpYQrXlSr1x8tHqoIG5QrBIZES4FZZXyzaZcFVL7CirkpAEdZNqobnL/tME6txPesU3ZRZpgHhku2ooFHjF8NrxYCDti0QfbA3sVE4mZoHW6D3pRQVTi/CFe8N3wm+G7G4EILxw+FzbKmRByNRPUaqNww/n/sqdAZn+24bB/l+bMRuT8UR94piBYvv32W9m2bZucd955kpSUJPv27dOSQwif5rB8+XJ54YUXZNiwhu7NG2+8UebNmyfvvvuuljRee+21Mn36dPn+++/1dZQ/Q0h16tRJOyJnZWXJjBkztO8VRt2QwME6SgKGGO0KYGgvf325Gpu4qHCd1l6BDHMReX9VJvp66OOSymp7/hTu4D6HFwsrvoykWDWQzsINrmA1S2DgLRu0ePFiefTRR2XlypVqQz744AOZNm2ay/2xD/rsrVixQrZu3SrXX3+9PPnkk4ftB7t11113yc6dO6V///7y8MMPy6mnniqBRlOeEUfPE/ZxzPexXt/GkwJRg3woiBDTM2r9vkIJCwtXzxRyjPA67s30A3ibEbZH0je8SqiU01Eu1bWyfX9JfSwPf9jCw7Xi7vj+6bqIAhBpaIWSVSj2yr20xFht2glTAnFkQnSwOzg/PIdQ6Zgco3la+F5vL9ulnc67psRJJpLQu6XY54PapJ0+Nvv061Af9ivdX6rCD94rfFeE/wDe49Dd47Df3FXfKOvvDrGHRPxlO/I1dGj9d3Fmz1zZODYobmPP1K5du7RZ59SpU9VztH//ft0OY3HLLbc061glJSVy/vnny0svvSSpqan27egF8c9//lP+/ve/y29+8xsZPXq0vPrqqyqafvzxR91n/vz5sn79ennzzTdlxIgRMmXKFLnvvvvk2Weflaqqhp4M4t+YlRKqX2CM8ByG9NfMIskvq5J28dEypnd7+/5wuackxOjKE4/hpYoME0mKiVDjhDLls0d3k98N66xGDQYIuQpITMU9CWy8aYNKS0t1NBbshjtUVlZKhw4d5M4773Q5Ugt2CvMDL7vsMlm1apWKM9zWrl0rgeZpasoz4uwY5jGuNeONgacKCyVoB4TC4D1Gk0y8hm3w5tTPJrfpYgjXf2xkuOZNmekHGDSM0BhCVGiV0is90V5gEhUZrhV+CPEjvAbbgPYEEFE6iPjnTNmTX67NeyFmEIJEw194sBNjI/SYeAzRtjmn2F5FHBEWpp4weI6QrI7QGBZqEEfYb/GW/eqFQiNOHNfsA+Bdw37b9pdIVlGFCkd8V/N7YpGHPCucPz7X/P44X4QzcW+ED+5deY7QRuGoXqny0PShLgcbEz/0TM2cOVOntv/yyy8agjOceeaZcsUVVzTrWDCE8C5NmjRJ7r//fvt2rBKrq6t1u3WERI8ePXQu4LHHHqv3MKgYtmyYPHmyXH311bJu3ToZObI+MdmZMcTN2syLtD2OVT0wolhtoqIGhg7GEKvGbu3j5PHfj5Ar3lhhfy/E019OHagJqXkllbpv7/RENYY4xpg+aTqaAp9hOgbDWKEZqLOSYxJYeNMGYRGGm7v06tVLnnrqKX38yiuvON0Hr59yyimadgCwyFuwYIH84x//kOeff178jcY8Tc68Fc48G455PCbJHGEwaz6P9ZrEcyRlYxs8QciFGtkjRScV4LpGqA2eHCywrOFBDDJGxRuu+/omrTbNg4KYCTsU7ke+JLw0eN4lJU49T/DgjOld/9/L3J92C/zc+WXVsjazWL1TyJFCeDA+OlKqaurDdwjb4bOsHcfxfdByAZ5y9MCCaEP/KYQYcX5DuiTr9778+N7ahgGvQ+DBS4bvieR2U1xjWkBALOI3xO9qbQfT1L8FMMORAX7P1vjvgLSCmFqyZImuvKKjow8zMpmZmW4fZ+7cufLzzz9rmM+R7OxsPX5KSkqD7RBOeM3sYxVS5nXzmitmz54t9957r9vnSVoHx6oeuO7RygClw1hpYbvNVqeJ5QCrrqve/PlQf6k6TTo3K1UY0h0HStTVHR1RvyI1iZTGKDg2AyWBi7dsUGuBhd5NN93UYBsWeh9++KHL9/hikQcRA+8HkrHNWKXmhr3NoghheVOBC68TwDZ4mNBoFx4iU91mTXY2s+4gpNDw8vuteZKWEKkTCmAPvt2Yq4IIAgzHxfV71ZsrZVtuiVTW1mnncRxj8uCO8tTCLTolAd8HSecQYxA7yH1CWK9zQrSKGuQyIbG8qtamXrJbJx+hYUh4iDIPlklcdKS+H2IGIquwvEpth+nAbs4B6Qc6VD0mQr8bvF+wT3gvbBES4h0XbqaTuekVZQSVWVjiN7GOsGns38LblccM87WxmKqrq3M6rmHv3r2at+AOe/bs0dUlVmuxsW1bNTBr1qwGhg5Gq3v37m16DuR/U+LNuIXuqXHqaYJnCV4olDD/urdajROeQ0zBTV5VVKvhgHrhZJNpI7tqOCG/tFINX3JctI6YWLn7fzOuHFdvJLDxhg1qTVwt9HyxyHP1B9fkISFpG55eVLoaz1FzSu0dF0V4jGsOt7+8/6vkl1RK34xEe3gLGE8xvDF4H/q/IZEcnqJaW510TonX3Kh1+wr13ExvJkNVTa0UVtTo8HL1JMVEyGPzN+n4qPDwMH0Pwmco/YeHCukDsCvYBnsD0YLcSuRZwfYgIR2jZ179bodU1tikTmo0bIgedjiPzIIKe4UiRA48UPB09UiLV7uC2YAQgkgxwP5x0fVhTOvCrX78zWZNO0CzT2eePjP+xV3PkDuepOYILuaLtnHO1Mknn9wg4RJuVuQ+3XPPPW4nWCKMl5ubK6NGjZLIyEi9LVq0SJ5++ml9DMODvKeCgoIG70M1HxLOAe4dq/vMc7OPM2JiYjRJ1XojbYdZkcqh1SaMC3j0y83qUke+BMYtfLkuR0qralUgoYrnpnd/0fuUhGhJjYtSFz8STNEHBoa2X0aSJokivwHPMaOLuQPBiTdskL+BRR5yRc0NC05v4CrPBs8RikKiNnKZHMemmP0d86kcXzf5UxAO8G6ZIb+4oVKustam4TX0Y4L32YiKzdnFcrC0+lAfuQzdB0SEhaunBjlWSNHu3C5Gq/pyCitk4YZc9XbllVTrvlhUHdcvXd5bsVfzK5HgnRQTKZcc10ttA7xdsCcDOyfLpEEd9TmOAfE1tm+ajD+ig34ujonvgONB9KXERWvyOEQ77Ay8X7ArSJLHCBsIMdgY5E4hKf7L9TmyYH19ywN4yru0i9NO7I6/9wer9sm6zCJ72NDxt22qkri5+zf270/8wDP1+OOPq8t60KBB2r4AlTRbtmyR9PR0+fe//+3WMSZOnCi//vprg22XXHKJ5kXddttt6ilCVd7ChQu1JQLYtGmTtkIYO7beu4D7Bx54QEUZ2iIAeLogjnBuxD/BRW36oqBSB/cIy8E1DuqrYv4HHsPIFZdV6R/N8f3SZdapR+pxYFSW78jXbsYnDmivuQjo1zIqOkINFvIT2C8l+PCGDWpNXC30mlrk4eZtXIVurNut14jj/mY2JrwxaEtg5sI5Hg+eGHht8IcbiyT1Outg8TCZMbanbod3CDd4itADqq66VjuKwyv2wJlD5O6P1skVJ/RWrxW8VfDyIJ8JogWPi7OKdNTM8f3TZPHmAzK+f7ragIPl9eIKoH8T7ABsC7xFqHBDw0/kLuHcIaRgYxAO3HuwTFMGEB5EmwKt3GsXKy/NOEpDj0gahwBEFSAS5LFwQ2rBMb3by7YDpfVePW2bEKbnkpYQo8eH6Fq3r0hDgWg6ahoPI6kc7VrgMTOeQZyjNaessX5Pjp4odzxJOAZEnhG5tId+JKa6deumiZ//+c9/9B4rQlStoCovLi7OrWPAFT9kyJAG2xISEjSZ1GzHMRGOa9++vQqk6667TgUUks/N6hTG9MILL5RHHnlEXeiosEFSe2sYJdI8XLmX8RwG9Jc9hTL78w2SX1qtVThob5AYHa5GFjNNYdiw0oSBLqqoEQxgQH4DjJqZn4U+6Ng/LDzMPnXdhBBMjxqG9oIPb9ig1gR2CgtBa988LPTMQrAtcfUH17rd8Vq17m8WNgidr8msb01ihu7iOuuTnmD3LluFGLxPJTo2RTR3CGIBf9BxPOQEodAElW7wQuOPPfaBN+elxQi11Um3lFipqEbeUHf5+Jcs6d8xUT1ZsBXIgcLYmFsnD9RE9U1ZxVKkwk3kpx15mmt1+/u/qgBDUcot7/6ieZWo8EVhCs7987X1IVfkUvVoH68LOqQUGA8Z8qNM81DYHOyDMCLCeyiMObJTkqzdV6ifASmHkTZHwgN2ZEc9Fr4X7BXEqBGXaCjap0OCzJx0hL1CEfbLmnzuuOC09p/ydHCxVeQascYpD37SZwqhOBgu3FqLJ554QsLDw9UzhcRMrESfe+45++sRERHy6aefavUejBTE2EUXXSR/+9vfWu2ciPtYV1G4+K2Ve8gtwGoTXYphSFG9g7wDjImJ06TyCHVR1dXZNJdhzyFjBqNWWlVTPysLXYS7ttNVHsqhrb2kmGwe/HjLBkGIoV+UYceOHbJ69WpdxKF6GOE3JLW/8cYb9n3wunkv2jLgOZLhjUcc+aAYxgwPGqqVUWyDvlQvvvii+CON5d6Y2ZiOHcsxBgUjWJBvBHFhQk/m/chFgvCBJwfXI65NCBkDco1MAjxyopBbhco6jItJsIkml9fnYOXqcSBaMMwY3h2E2JBA/tayXbI2s0iFFERaHQYiRyDXyaYiCu/BdjRCx7HwGEIKHiMILwgseJ5gV2BDkEwO8YTRVQgLYn+EBiHOcCycG+wWRAnG0Ex79nvJLqz/3ngd54bu6GizgLYsZkYfQoMJ0ZHqvTJ2qqlO8BBSjiLL05wmRxHGqj3vE2aDLG8mr7/+urrTYSTAn//8ZzUSMCRwsffs2VMCCSSgoyko8hSYP+U9rKsfEypA8zs04eyQFK1GD4+ReIqchMKKanWX4z9I5DuhsgahA+Mmtx7TGCCs9tDfxTpyggT/9eRNG4TGnyeddNJh27Ewe+211+Tiiy/WxpvYz4BwsyP4TOxnbdoJT7lp2gnveXPyuVr6OzbH+2BEDa490+SyqffWDwbeJ73TE+yjnnAdwoOFhU9cdH2FG3KlcK3iNXijrJ4pbWhZWaNeGBSUoIoPyefwdr39U33OGBZXw7u3U2Exvn8HXXRBYJlhxRBN8GCDtMRoOXNkV/UMfbhqr4ogLMi7pMRqnzp4hDBAGd3CUbH37HkjNWyIY4/ukarHRSPQ/h2TNRw3tk+aniPCdqgehIiD6PrnxUfr77JoU656wHBstFP4Ym2WdlbHd505qb89LwqfCcGGc7MKysb+3ZDHhXODEIXw9Cbu/LcRbN6rola2Sx55ptBdfM6cOfYSYPROQTIovEToWv7+++97+zxJAGJdRZmqvaraKHWTHyip0soaVOfB6MJljxJo5EZhlYvkUFzMZkXr7JhmZYvVnykpDpYLn7SdDTrxxBM11OMKCCpH3FmD/v73v9ebr2iO9wHXDK4j7G+6czf1XgiTDEsuEJKy4YGBpwr9mqA3Tx/eRY9jqv1QWVdeVaviBLlTEDtI2EZ4LRatUWxhmuv06PxNmkMJjXRM71Q5omOSXejhXGcWVWiX8vX7ilS8ICUAIJ+yPucSVb7dVNihrQE8W/h+AGIIOVV4C8QKPg85U/CyJcdGahgOdsd4i+CpwrmjjQIqB/EBRmQs2XpAvwPyNHFuaOCJHljbD5TY7RDukY+F7+uO58JZdaS3xZQ7Hi56r9pATKHKpF+/fvoYfVPOPvtsufLKK+W4445Tw0SI48pGXfCHKmV+O6ijbMguVo8UwnTwPqGXFIQUDBPCAzBMSACFkTbN7oDVK2XN72huSTEJbGiDmsbd/Bqrt9dxfzxGWMz0Z7P+Ubf+QUZiOnKE4E0G9bPxRHOikAeFKj8IHczRxGIqMTbS7qWGuELlnOlkjr5UWHghPIgQPoSU8T5bWzcglIbPgFB69OxhKoywMHv/50wpq6rR/CX0q8O5b9hXpAIK4gTnDGEFQQePFN6nws5mk/4ZifYcJfNdkRe2MatYw4qdU+K0rYGxNcY/iXu85/kLRjvtZWdCpe78W+Ac8Rk4KmyfryqS2XOqDcQU5l7l5eVpPgFGupieTegXVV5e7skhSRAKKNxjpao5BEgSDxP1SMHdvTWnWMUTcqaQbHryoI7ai2ZbbrFWymC21Tsr9qoHAENAYdDh+ocbfuGGHH0fDC7yD1z9ISDBC21Q07ibX+PKA2GuYVy/KOZAjhTyFx1zfMz1h/2qa2o1b+mPE3rLf5bvVY/zeyv3ajgOeY8QL3DurNx5UIUQrm94oCCkIHxmvf+rZBYUa/UdQnq4vgHED8JeGAfVJz1R1mQWaGY8BA5aFnyxLlt+3VsonZJjtdUDzhc9qkx/OoTiSqpqNL8K56uLs/H/O3fjWcP70VzUunhTz1XNFg1dwgMFUbj9QKm9Oanp5g7bh9/F2cDipqr0gKnuQ7sKM6/QCEhPaUmojj2n2kBM/fa3v5XLL79cx7Vs3rzZngeAES7oQExCF8ekc7iq0U8G5ceYiYXQ3ndbD9gHE5teLXD/n9A/XQ6WVulKFgmp8FKh+R5WqDAwaHUAYIzhbsc+Itt11QrokQodaIO890fTlQfCLIaiwsNlUOdkDY9Zw08Gc70jIduIAVTjfnfbb9RL8/XGXPU4fb+1RgUQciWjwtF9vE56psdrNS9aDsATrRW8tTYdVAwTMfuzDbr4Mh4mhA9RyYfkbnizEVKMj47QRRZ60m3bXyovX3SUXPbachVU6EsHzxNaHeD9yO/C+ZphwxBo2A6BhrwviCRsxw2LNXi5IBLx3Yxtw8LOsTkpaMo7bsQSBKWzfUx1H/JFrWHGlsBQnZ837cRAUFTPoYrlvffes8/GQiNODPckoYu1iZwZu4BVKQaWwvMEw5pXUj/pHcnmqQn1LRG25Jbo0FD0n0HCKownZnT931Hd1BCeMqSTbkM/mofOGlbfybiqvjqHgz1DD9qgljVmtDZ/tA7StYJrGH/YkdyNnB8IDITrcE0jMRtCBe8f1jVFxQVyiyBKIG6Mpxgent+P7q4ht+P6pcmIHinyyNlDpU9GouY0jeyRqpV4GPmCfksDOyXr5APc0HH80zVZKqDgFYOHCK0GMC4K3iDkUiFkuK+wQo8BIdY5JVYFC2xNu9gozenC+4zH6PwxPfV7IEEd2xBSxLxO5FahcSjypXBvUhNwfIg548HCe3E8ZzbH2D6Tv2kdGm3tKYXf1Nk+eP+UIZ3tA5Wd/Zs0l+Y2ASVtXM0XbLCar/VWyjCy3205UD8GRhvwoaN9ffuD7u3jdRAphoWavAO4zSGYmpo/1dyRF6Tt4PXU9r9jc/97N16UpqpgcVyEvZBfBC8yFjXYH96cfy/brV5j9H8yszXhPYaYuuDYng2Oa/08AI9XfTf0Ss2dhBcax0pNqJ+1+MC0IZrc/d2W/bI7v1zTALKLKlSMINQGQXfOiz/q52I+HnII+qYnaLgQHil40kb3TFVBBLticq4AzgOiEMII4cTH5m/Wz1u1p6DBb2K+O95v0gnc+c3wXfH9IJpMyM9xm7vHam3c/e8gGCjyl2q+NWvWaDNNlJnicWMMGzbMG+dGgqAVAi7SUT1SNR8hMTZCIsLD1bgc0SlJVu8u0L4uBqw6Jx5aFTblqm4qnk/3dvBBG+S9/BZ3k4tNw0d4ga3jmSAwkOyN8U3IZYSnCJ4pNLVMT4xRkWPttm3twg3PM0KFa/YUaC+puKhI9QAhEb2mDi0WbFpdh/ysx34/Qq/9nQdKtckvUgVMDznTThSiDBV9w7qlaBUfgBfbVBFCOBnvjKnMQ2sGeH8emLdeF3kYXYX34lhGdBnPurPfrDHxatIbEO40PaIcu837S3K3v5xHMOC2mBoxYoR2GMfYFjxGnxWrU8s8x72zAaQk+IGA+mBVpnY3R2igPq/CpnkIG7KK6hNORWRnXpkaI+RRGSLDRbqmxqmhcWacrPfuQCMRfNAGeQ8jKqwJzo1NLDCdyw0QRKiO632o+zmOg9fR1BKeKRwbWCvYkGuEnCAIL3hnnvpqi4bXZk7srwnkmHGHsTPohO6Y24ScSuRWwvOE7ThOTGSEestgReAdQ+Xbki37VfTBw+1sXI7xliM/CzecZ3VNnc4QRA4XRt+4akVgFazGo4PfxSSgW1shGO+TOQdHsdvayd3ueiqZZO4DMYWuwB06dLA/JqGNY/NMk2NQfigJtM6GkTA2NbSXH99bK23wGvZBUrljcBmdiFHiDLc7KnasZdieXPA0EsEHbZD3rl10AIegso5bMt5cI2DMH2JrDyqA17CP2c8xJwf5SGb+nXkPgKfGeLdwzAenD7W/NmFA/WxVgFwqY18gVhAew9goCCQILwwtBhhYjBAhUgZgK4Z0SZZ3lu+Ryqpau0fI0W6Y88Rx4TlHIUtCbKTmdHaOi9XQoDuLNrOP6W7uOPbF1/aHnnk/FlPWjsKB1uGceB/HxnJww2Og6OheqZqYihYIxRXVOqz0jaW7dEUJd3r/DgkSFRkuuw6USlVtfS8aJI7W1tbpSvfBzzZqMimMvFndOfaVIqEJbZB3wDUVE1kvTpyFsSA0rGF1CBsMOUYIDEIJ1zwS0K2FJgaIK7yOPknIn8K99bjuJOhau7EjHAe7AM9UeFiYVgIjt8kkVpsKPXwmuqijzUqN7X+hOJPzZLqwY7v5Tiafyvqau/bF2uoAHjcIRXyWVYT6EnrmA2g237Zt27Tj8IYNG/Q5xjhgHlXfvn29eX7ET3GcK/X6Dzu1TBlzqmKjwjWZtH1CjI58QMkyyqHR2RwrXDTi25xdH/YDPVLjJKe4SmprbfZBoDDyjoINBHuSJHEf2iDPcBb+chQIJnTl6OVAVZ+pWLN6nRyPjXYC6/YVabsBdEp35t1yVVACIfXWMgi+cBUqsAVm9AxuJryGx2j6a8SQdfwKjvvAoSR55HahjQoac8KOmNetQrKpDuONFcGYNgaOItSX+NozFop4JKa+/PJLOeOMMzSHAV3Pwffffy+DBw+WTz75RHvAkODGcawLxBSAgausrpOU+GhtlgfjtiWnRF9LjIuSovL6flFRERFSVVurOQpDu6VI7Z4CyQ8TmTVloN3lj5Wzq0GgJLShDWqba9t05MY1aCYRmOo0Z8LBvBf7I5QID5hjEja8XGh7APFh5tTBq4NtZtGEvCt4ouCRgpAy++F8IMRwj/0hlCDSzDlYw4U4FsJ4SJJHywW0OEBVojUxvrkFNdZzdgylOYpQElp4JKZuv/12nX/10EMPHbb9tttuo5gKEawDOWH4zGiF6Khw9UihQgYdhRHqQ88oeKt+2pGvVTPH9U+XbzfuV2MLwwmDFxFePysLOREmV8Mq2Agx0Aa1TT4N9jWJ6o7d0U11njNxgusVA8qdJWHXV+KZWjw5bCwL2hAYwYS8KOt+phIOg4PRpw4eb9gf01Xc5IHBW4RjIBcTIUkcE/PyMDcP/Z4cu5Q7tkHAa9bfyZyDzYV33nw+vUGhi0diCqG9d95557Dtl156qYb+SGhgjA1GMeSVVmlFXnh4mPaNglFCpQ56vuA5mnUmRkdKRARyNeKlZ/t4SY6L1KR0zOKDcTPdk81KlhBX0AZ5jjMR4Gy0SWNjmkzLBFz/Vs+Q4z54P65ra0GJszl1EDBmYLmjAHPWKgWtGmA3UOGHNgqoxAMQfmjCiSafCElOHdHFLo5gYyDC4O2CcLKG+XBMeLqA8S5BKKKtgvl8x3PmXFDS4g7oqOpbvXr1YduxDa0TSPACI4uVH/IRsCLU1d+hyh0IKbHVrzHRGgFl0gaMiMDr8GDBW3V8v3SddQVjd4XF2KEpIN3kpClog9y7Vp11tzYiwPRhQgjLcT+IDSyS0D7A2g7AsWN3U9MHYCsgbow3ypwTcqo2ZhUd1oXdDDfH57vqzI7PRFUgZnjCnmDMDbxPOA5sCxp2Ii8TwgrCyFphh2o9qxfdekxMXzDfB+IKjT5h36xecmfhQcffgV3FQxOPPFNXXHGFXHnllbJ9+3YZN26cPWfq4Ycftg89JsEJjNxbP+5ShzwmwiPBFING28VH6/wtJHli7hbaIizZckDfg7LjXukJ6pZHvtSC9TnazRirSYx78JdyYhI40Aa1PJxnLe933M8adnN1LMfcKmd9jUyDTeMFMh4gVN1h+DDshDUPyfFzDdbjmz5TqA4+49BiDK8hpwlggoIRRI5CzwxORrjOGp7EMevtUUyzm2o62i1/bkvAyRB+JqbuuusuSUpKkscff1xmzZql27p06SJ//etf5frrr/f2ORI/uvjKKmvU6xQRZtN7tDFAufJvB3XUyhsYR0xtx5gIU3GDHCnkRSGhPLOgXFeGU4Z0ks/XZtvDCIQ0B9qgpmlKEFir96whLNM2wITIHI/l7A+yKwGB0J7pY4X3wSZMGtRR9uSX6TgpLMiMsMExUJnnLInbenx4xOFNw+IMoTzkScHTNbZvmg5Jt4YKHT1J1qpCfGdzro6/lauFnTtixJ/bEviz0JNQn81XXFys9xBXgQpnibk3uwm3K95YIeWVNTqoFMbQrAaxkvzt4I6yr6Bcq3UwLwsdztFrCkmgWImiki8srH7fzilxOq8vFGZChRptfT0Fgw1qye/obW9DU/PanL3e2DlYG3AuPtShHCF9YN6De8d5dtb3Wit6kYO1fOdBQVbBxeN6aR8qhBJHdE9R4dbU+Xvye1m/g5nzF4h2K5Q9U0WtbJc8ypmyAgMWbEYsFHA3rm8mpWM1iFLnvNJKiYuJ1NyDMIs7Hop8d16ZJpCjKzGadqYmRMmZI7vJKxcfrZ6p/830ipRbTj5C8xzMDC9CPCXUbZDxNuDeGzSVC+Xs9cZyisz5wUZALJkiEzPSBvc4lvU1x/fiZo6PkOHwbu3k96O7q+cMzyGkTCixqfNv7FxdYf0OTeWJ+XPOlCffnbSimMrJyZELL7xQQ3uRkajQimhwI4FpgK3J5cYQoMcLWhtgsjpWZWkJMWrI/vXjLm19EB8drlV80RFhkl9aJTZbnc5nrKmtlW25pVqODFf/SzOO0vYIg7q0k66psTqfD+52GFNv/REgoYM3bdDixYvl9NNP12Phv90PP/ywyfd8++23MmrUKImJiZF+/frJa6+91uB1pDzgWNbbwIEDpTVwJxHcW39wPfFsmPNDbpO1yMQkp6PyzjS/dCxAcfbdkC6AIcgzJ/XXczChRMfxU94UDNbv0NSxvS1uSRDnTF188cWye/duzVvo3LmzGgoSWDiL6zuWB8NowHOEUF1heaWEhYXL0b3by+ItB7TdAUiOjZR/XjRa+0NlF5RLflm1dE6OkaS4KO0BY1aLMHTv/+k4zauCEYVhMk05rbkaoeqCJr6zQaWlpTJ8+HBt7TJ9+nS3ZgSedtppctVVV8lbb70lCxculMsvv1zPY/Lkyfb90MT4q6++sj+H6GsNWlq40ZzrzpOcG8fzM49NcroZauzsmM6+my/yfprzG/tzzhRpPTy6ur/77jtZsmSJdkAngYkz42Aa8eHPkrW3ChLNa2oxoNgmP2zNk4rqWs1XQBPODknROivL9IlCUhQmucdE22Ro1yS7YDKYQarGbR8oVTDEv/CmDZoyZYre3OX555+X3r17awEOOPLII/V8nnjiiQZiCuKpU6dO4u8057pzp0eVuwLNeJSs+waDWGFVcmjiUZive/fu0sK8deKHmHwElCkbA4ichNOGdlYPFP7NUa2H2XtnDO8i7/xxrJw+vKu9eubqCX3rK/zKq2VzdrEmpzu6uhsLSXg7XEGCF1/aoKVLl8qkSZMabIOIwnYrW7Zs0dBhnz595Pzzz1dPmq9oLI+nOdedtUcVEsaxgHJ2zOaEutwJy1nPvy3zfvw5/4kEgZhCl3OMc9i5s34eGwkeEIY758Wlem9GLGCmVUlVjdTaRMqra8Vmq584j5WltdEeOhHDk9UvI1EGd03Wdgm5h/KwjDFqzBAyOZIEgg3Kzs6Wjh0btvTAc1QLlZeX6/MxY8ZoHtUXX3whc+bM0dDg+PHj7ZWHzqisrNRjWG/ewlHctFScuEoYd0egeSJQfJWHxPwn0qphvj/84Q9SVlYmffv2lfj4eImKimrwen5+vieHJa2MO653a8dijFJADhWGhSbHRGlTTnQ1j4wIdzpXC8NE0fQORhSJ65jUDiGGvlLWni6EtBR/t0HWsOGwYcNUXPXs2VPHcF122WVO3zN79my59957W+V8HMNzCLWj+AN4cl2aiQWuwnONhbo8Cef7KrTn7yFFEuBiivP3AhNnU86t4grP+6QnaGdhhPvgfTI5VKWVtfpedDuHQCqrrLWvas1cLXMcGGuE+GptNp3Bh8Z6NEbEm/jSBiEPCtWEVvAcvWvi4uKcviclJUWOOOII2bp1q8vjogGydYIEPFMIZ3oDxzlyaEvS0pC66RTuSXWf9b4559/WMP+JtKqYuuiiizx5G/ExjkbMiCsjmNCMLruwQk4e1MneIM9U4yHsh8HFGBKaVVihY2MSYiLsIspxorzpfm7m7hHiTXxpg8aOHSufffZZg20LFizQ7a4oKSmRbdu2aTsHV6DNAm5tZQO8cV16o7qPkGCgdWp1iV9iHR+BFaoZ5QLh8/7PmRrGi4wIU+NYXVOn9wj1QRAhbLcpu1hDfGjAedKADBVLzgwpPsfM2iLE34HQsXqMkN+Eoe3t27eXHj16qMcoMzNT3njjDX0dLRH+8Y9/yJ///Gdtp/D1119r+G7evHn2Y9xyyy3auwqhvX379sk999yj/a/OPfdc8SXeFjIMgxFSD8VUCGJdTcIYYs5Vl5RYrcRDtV5lda2UVdeqFwoNO3/edVCnsEdHhkt1LebshWtuFN5rnelFSCCyYsUKOemkk+zPTagN3i8kkWdlZTWoxENbBAinG2+8UZ566inp1q2bvPzyyw3aIuzdu1eFU15ennTo0EGOP/54+fHHH/VxMNFcccZeciRYoZgKQeCRQvKpaWmwZMsBHRoaExkuFVU1EhMVKScOzFAhtSWnSNZnFWkeFZrrwXvVLi5KvVmA7noS6Jx44omNtllw7G5u3rNq1SqX75k7d67Xzi+YYC85Eqy0eDYfCTysjTPhVULYDl6oA8WVUlxVK3kllZIQHSkvX3SU9EpPlMrqOtmSW6yDjSGk4J2CAINhZB8WQoi7sJccCVaaJaaQP3DttdfK/Pnzpaam3jNBAtOgmSHDAEOL0dE8HP9nE8GgGAgthP9s+j+R2jqRPfllmni+r6BcUuKj7JU8nENF2graoMDA1SKLveRIsNIsMfWvf/1Lq02uueYaSU9P114vmE1VUFDQemdIvG7gAKrwlmzZrx2Mp47oKucf21N+f1Q3mTy4o8RFRUhhWZW8+eMuOVBcpR3PkTP1t6lD5IwRXWT6qK7aY8aURrNrOWkraIMCAy6ySKgRZvNwJsO6devk448/lo8++kgrX8aNGydnnHGG3jA+IZBAP5d27dpJYWGh9ooJNkzSJ7qRf7UhVwXRtBFd5ao3V2quVKd2sToKBsOK0Wfqy3U5UlheJWESJomxkTKgU5JdPBHiL9dTMNmgYLNLTDQnoXY9eSymHMcrfPLJJ2rYMEEdhuzhhx/WyeqBQCAbLXcwjfqiI8I1TDd1RBf1TGG2FppxxkSGSU5RpY6KwSiYqPBwqa6rk15pCbK/uFI9UhgdA2gkiT9eT4Fug5yB3w/NPvfs2ROUdomQtsQ0wUUkDfbJL6v50BH4iiuu0BtGPHz55ZduNZ/DzCrczHytwYMHy913320fxQADeeutt2pDPMy0GjBggNxxxx1y1llnNRgbcd1116khDQ8P19dQrpyYmCihjhE+pp8U7k3SuQHbMDomr6RawsPqVHBBWIGE6EoVX+gxZcQUq3GIP+KpDfJnzBw/b3VBJ4SIXld+I6ZmzJihfVlOOOEEnY1lBXOyzjzzTLeOg/4sDz30kPTv319Lk19//XWZOnWqlhxDWOFzoCKx2kSO1ttvvy3/93//p31hRo4cqcfANHb0gYHgqq6ulksuuUSuvPJK3TfUsXY4Rz8ojIexjn/ADYOMOyXH6sBSNOy87Pje8sbSXRraQ1d0iCmr65JN+og/4C0b5M906dJFvVJJSUkSFmYmYHp3lR4KXq9Q+q6h9n2LmvFdoTEgpHBdtQYehfkuv/xyWbx4sXYN7tq1q0yYMEH7ruAewqgloOvwo48+qsNA4V2C58o6giEtLU3d9ziHDRs2yKBBg2T58uVy1FFH6euY0n7qqadq0zx3f7RADfM1FXL7X65Upcxfny09Ds3JQ48pVPP9mlkoW3JKpKK6VgUTBFefDgkqvkxSuePsvubO4SKhR1tcT61pg0KBQLV5nhBK3zXUvm+RH31Xj/pModvv5s2bVQ0+8sgjKnoef/xxGThwoHqbPKG2tlYb3ZWWltpnXCGh9D//+Y+G8urq6vT1iooKNZpg6dKlmlNghBSYNGmShvuWLVvm8rMqKyv1H8F6C2TPE1oYNFaGHB8TIeVVtbIrr0y9TRBKEE/oK4Wu5r8d1FET0pGYjll8GCFjbcpphBMrdIi/0Bo2iBBCfJIzlZqaqp4i3EPUREZGNntcwq+//qriCSIJBvGDDz5QbxPAvCu0X8Bn4Nhw3+P1fv362XOqMjIyGn6hyEj1buE1V8yePVvuvfdeCXRMyM004ARm9p7VgwShVD8SJlkuPzR4GPtg28HyaomLjrCPh8FrOBZuSFJ3HGBsvSfE13jDBhFCiE88U3/5y1/UawQjdvvtt6sQwj0ETGMjFpyBpHKUNcOTdPXVV+s8rPXr1+trd911l+ZMffXVV5onhZlZyJmCAGsJGFwKt6C5YXUbiBjPEwYRW3s9OXqQ8Liqtk4Fk/Ey4R7NOiPCwnSAsXV/V72j2HCP+AvetEGhCJLzMXw50JP03SGUvmuofd8YP/quHuVMIYyG1R8GfU6fPl2OOMJ7U8gRpkNCKSaywwO1du1aTUa3vo7tzz//vLzyyity8803y8GDB+2vozN7bGysvPvuu24nofpT3NUbrM0s1Ao9hOyQdF7fyVxUdAFT4ffh6kwN+6FpJyr2zD7MhyItoS2up9a0QYQQ0iZhPqz8Fi1aJN9++63mKURHR9sTQHFriWFDbhRymlDebIymlYiICN0HIDwIz9XKlStl9OjRuu3rr7/W18eMGSOhAkJ2VsEEL9PBsioVVGhp8N2WAzr+xQgp9Jf678q9khATIVOGdNZ9TGgPSegcXkz8nda0QYQQ4pOmnb/88os88cQTOloGQgbJ5O6G29BTCvO2ULKIdgao1EOPGBhE5E517txZHnvsMXXnf/jhh9p36tNPP9WKPYD35+TkqKfKtEZAQnpzWiMEomfKmheF+7eX1YfozhtTH6JDd/PYyHA5aWCGrNx1UJPPzxzV9bDO56azOSv1iLfwxfXkqQ0ihBCfeaagv7AyxKoQt++++04N6LBhw3R16C65ubnaLwZ9omB88X4Iqd/+9rf6+meffaZ5EKeffrqUlJRoeA+9qIyQAjCeGL48ceJEe9POp59+WoIFVyLH2jwTr6H6zmZpwhkZJlJRUyfH90tXMQUQ0qtPLI+QhOhIeyNOaz4UIYGAt2wQIYT4zDOFyhmIm+HDh9td6+PHj9dqmkDEnz1TZhQMRJJV7LgSWdjfjImBaEqNj9aGnAjzwQuF8TAQW73TE7TPlONxCQmE6ynYbBAhJASr+d58803Jy8vTCjvkK8BzRCPWOjS3sg77QkDdcvIReo8BxuP7p9u9UKYjug4xjom0j5ohJJCgDWocNDSFXUbjYnRPR4pEU8DDN2rUKK2MQhTgtddek2D8roiEnHfeeZpXh2jGDTfcIIFCc7/r+++/r5EeFGtgYYM8Y0R/gvX7fvfdd3LcccdpWlBcXJz2nUP432/FFIaH+psHJ1hxJZpQsXfOi0v13ooRS3OX79Ek9DmLtmn4D13PjScLAgqNPK39qQgJJGiDGgfNj+G1e/bZZ936PXfs2KG/KUb0oFUNBAa6zAfCH97mflcUOEFc3Hnnnfq+QKK53xViBGIKKTMo1MK/L8RJoLQPKW3m901ISNC0H3xvTEjBvzFuL774YmAkoAc6/hzmcwWE1Oo9BTKie4rMvbK+Y7zjcOO7P1oru/PLNG8qu6hCWyUYDxUTzklrEYjXUzCDFT2aHU+bNs3lPrfddpvMmzdPW9EYzjnnHK2WxoiuYPquVhAeHjFihDz55JMSaDT3uxrQagjNsO+++24Jhe87ffp0FVn/+te/xO88U8T3IHyXnhij9848WRBNaMoZHhamgopeKEKIKzCaCz38rEyePFm3k+ABla6onMeUkFBg1apV8sMPP7RJUQrFVAAAL5Lj7L1Vewo0qRz3rkJ/GB2DVgl/mzrksLwrztkjhBjQOb5jx4b5k3gOL2N5eTl/qCABbYZQuIFJIsFMt27dNPcPbZKuueYaDVn79Ww+0jZY2yCYyjtnc/JQpYfQH+6toT90QXes2OOcPUIICR3QexEzaT/66KPDZtoGG0uWLFHR+OOPP2p7JRRUnHvuua36mRRTPsTdvCVnwsdZXyjkRJkxMq5EWGPvJ4SEJp06ddLmx1bwHDlvqIoigc3cuXPVO4Mxa47h3GCkd+/eej906FD97/ivf/1rq4sphvl8iLuhNmcVfdbQn3kMju2Tpp6oxtoqEEKIFZTML1y4sMG2BQsW6HYS2Pz73//WySC4R8VmqFF3aERda0PPlA9x5nFy11tl9ToBPEb7AySaoxt6QkykHsOMm2nqeISQ4AEhjq1btzZofYCWB0g8xvgujPLKzMyUN954Q1+/6qqr5B//+IcOmL/00kt1xuk777yjFX7B9l0BXjfv3b9/vz7HfEeMMAum74rQ3kUXXSRPPfWUzqtFbhyAtxEVt/5OSTO/L1ooYDv6SwG0SECe2PXXX9/6J4vWCKFOYWEh2kPova95YsEm22lPL9b7xsguLNd9cP/r3gLbH174wfbtxhzddt+n6+zHcPd4hATj9RSqfPPNN/pv4Hi76KKL9HXcT5gw4bD3jBgxwhYdHW3r06eP7dVXX7UF63d1tn/Pnj1twfZd8bix/YPt+z799NO2wYMH2+Lj423Jycm2kSNH2p577jlbbW1tq58r+0z5WV8cT/o/PTBvvXy0ep9MHdFF7jhtUINjAHqmSKheT4QQ0hYwzOdnNJYY7kpo2RzuHY/BRHNCCCGk9aCYCiBcVeddMb6PztljojkhhBDS9rCazw8bcroClXnOhhO7mt9HCCGEkNaHnik/8TahCs94l1yJIuxXUFatvaSeOmfkYa0SXl6yXUN98FRRWBFCCCFtAz1TPsb0ggo7JJYa6zmFfTFC5mBZ1WH74TmS0D9eva/JvlWEEEII8R70TPkYE6KDZ8n0hmpsX3ikrJV6BjxHfyl4ppg7RQghhLQdbI3QhqXcnrQ9ICTQYGsEQkiowTCfH46PIYQQQkjgQDHVhnBWHiGEBA4XX3yxTJs2TYKBE088UW644Qa393/ttdckJSWlVc8pmGDOlJ805CSEEPI/Fi1aJBdccIHs2bPHZz8LZtrVT58hpHHomfLDflKEEBLqfPTRR3L66af79ByQS0vvDHEHiikf50tRZBFCgplPP/1UBUltba0+X716tYSFhcntt99u3+fyyy9XL5SVjz/+WM444wx9XFlZKddff71kZGRIbGysHH/88bJ8+fJGP7dXr17y4IMPyqWXXipJSUnSo0cPefHFFxvs8+uvv8pvfvMbiYuLk7S0NLnyyiulpKTEZZjvv//9rwwdOtS+/6RJk6S0tNT++ssvvyxHHnmknuPAgQPlueeeazL0dt1112n4LTU1VTp27CgvvfSSHvOSSy7R8+7Xr598/vnnh3ntjjnmGImJiZHOnTvrb1lTU2N/He+fMWOGJCYm6uuPP/74YZ+N3/SWW26Rrl27SkJCgowZM0a+/fbbRs+XuIZiysf5UkxKJ4QEM+PHj5fi4mJZtWqVXQikp6c3+MONbRAWhnXr1klubq4KHfDnP/9Z3nvvPXn99dfl559/VoExefJkyc/Pb/SzISKOOuoo/ew//elPcvXVV8umTZvsggPHgIiBMHv33Xflq6++kmuvvdbpsbKysuTcc89VcbZhwwY9/+nTp9vDgG+99Zbcfffd8sADD+jrEHJ33XWXnnNj4HX8Hj/99JMKK5zj73//exk3bpx+15NPPlkuvPBCKSsr0/0zMzPl1FNPlaOPPlp++eUXmTNnjvzzn/+U+++/337MW2+9VX9TePfmz5+v54pjWcH3XLp0qcydO1fWrFmjn3nKKafIli1bGj1f4gIbsRUWFuJq0Pu2ILuw3PbEgk16b31MSDDQ1tcT8X9GjRple/TRR/XxtGnTbA888IAtOjraVlxcbNu7d6/+97J582b7/nj97LPP1sclJSW2qKgo21tvvWV/vaqqytalSxfbI4884vIze/bsabvgggvsz+vq6mwZGRm2OXPm6PMXX3zRlpqaqsc3zJs3zxYeHm7Lzs7W5xdddJFt6tSp+njlypV6njt37nT6eX379rW9/fbbDbbdd999trFjx7o8xwkTJtiOP/54+/OamhpbQkKC7cILL7Rvy8rK0s9dunSpPv/LX/5iGzBggH4fw7PPPmtLTEy01dbW6m+K3/add96xv56Xl2eLi4uzzZw5U5/v2rXLFhERYcvMzGxwPhMnTrTNmjVLH7/66qu2du3auTx30hB6pnyA1RvFuXqEkGBnwoQJ6h2BF2fJkiXq0UE47LvvvlMPSpcuXaR///72/eFRMSG+bdu2SXV1tRx33HH216OiojTMBQ9QYwwbNsz+GKHFTp06qccL4L3Dhw/XEJcBn1FXV2f3XlnBvhMnTtQwH7w4CMcdPHjQ7uXCeV522WUaWjM3eIuw3d1zjIiI0PAhPsOA0B+wnvfYsWP1+1jPG+HJvXv36udVVVVp2M7Qvn17GTBgQIPwJsKuRxxxRIPzxb9FU+dLnMNqPh9gQn3sVE4ICQUQwnvllVc0LAUhhHwibIPAgiCB2LKG0xCWO+2001r8ufgsKxAgEEueAKGzYMEC+eGHHzR09swzz8gdd9why5Ytk/j4eN0HAssqYsz7mnuO1m1GNHl63s6A8MJ5rVy58rDzg6gizYeeKR9AbxQhJBTzpp544gm7cDJiCjdrvtQnn3yi+ULwpoC+fftKdHS0fP/99/Z94KlCntOgQYM8Pid4xiDurAnk+Izw8PAGXhwrEDbwAt17770q+HBeH3zwgXqP4F3bvn275nNZb7179/b4HF2dN3KdrC0bcN5IVu/WrZv+XhBjEHkGCNbNmzfbn48cOVI9U/B2OZ4vvHek+VBMEUIIaVWQ5I1wFpK0jXA64YQTNCkaf+StnilrFR9AGA5J2Uiq/uKLL2T9+vVyxRVXaEI2wmqecv7552vV3UUXXSRr166Vb775RhPAkextQmtWIE6QVL5ixQrZvXu3vP/++7J//34VNwACa/bs2fL000/rd0Io7dVXX5W///3v4k2QSI/eWzjXjRs3akj0nnvukZtuukmFIDxL+F3we3399df63VCViNcMCO/h+6PiD99jx44dmgCP8583b55XzzdUYJiPEEJIqwPBhLYIRkzB8wTPUk5Ojt0TBC/RwoUL5cknn2zw3oceekjDXBA68HChQu/LL79UkeYpCM3hGDNnztTKODw/66yzXIofzG1dvHixnhvmT/bs2VOrBadMmWJv74BjPProoypkIAKR+9ScruPugFYGn332mX4G8rjwO0I83XnnnfZ9cA4I5aFPFzxWN998s86etQKhh5wuvIYKQVQUHnvssfK73/3Oq+cbKnDQMQezEuJVOOiYeAq8JBAF8D4REkgwzEcIIcQvQIjq4Ycf9vVpENJsGOYjhBDiF6BBJSGBCD1ThBBCCCEtgGKqFeHcPUIIIST48amYwkwhlMuiSgI3dHV1HOiIfhqYz4TKCOyDctry8nL765jNhBJPvIZhmqhqsA6q9CWcu0cIIYQEPz4VU2gwhpJXdGFF7w6IpqlTp+qQSyOkMHgRcXT0wECTNgxntPbLgJDC/uhMi+nkKF3F5G9/Hm5MCCGEkODB71ojoGcGemTAw4SeF7/97W/lvvvuc7ovZhShTwlEFvqOADR1w0RtzChCR1p3YCk3Id6D1xMhJNTwm5wptLafO3euNm1DuA9t7tFxNiMjQ0cLoCMtmr5hMKYBniuE9oyQApMmTVLPlbWVviOVlZVq8K03QgghhJCAFFNouY/eIjExMXLVVVfpnCN4mzDjCPz1r3/V0QHwOI0aNUqndm/ZskVfy87OVrFlJTIyUr1beM0VaJnfrl07+6179+6t/C0JIYQQEqz4XExhjABGDMCThPlLmJOE7rdmQvYf//hHueSSS3QwI4ZkYn9MH28Js2bN0tb65oY5R4QQQgghAdm0E1O3MakajB49WvOfnnrqKbn99tt1m+NUcAyVxJBJgOnWCAdaqamp0Qq/xiZfwwuGGyGEEEJIwHumHIFHCjlNvXr10gTyTZs2NXgd07gxYBIgt6qgoECrAQ2Yko1jjBkzxqvnxZ5RhBBCCPE7zxTCbZi43aNHD50E/vbbb8u3336rk7zDwsJ0KvY999yjk7FHjBghr7/+umzcuFH++9//2r1UaJ2AnKrnn39eqqurtXXCOeec43YlX3N7RoEbJh3h1WMTQgghJHDxqZhCiG7GjBmSlZWlieBo4AkhhXYI4IYbbpCKigq58cYbNXQHUYV+Un379rUf46233lIBhcR0VPGdddZZ8vTTT3v9XE2vKPaMIoQQQohf95nyBeyLQwivJ0IICZqcKUIIIYSQQIJiihBCCCGkBVBMEUIIIYS0AIopQgghhJAWQDFFCCGEENICKKYIIYQQQgJ5nIw/YLpDoEUCIaRlmOuIXVcIIaECxZSIdl8H3bt39/W/ByFBdV2hGS8hhAQ7bNp5aB7gvn37JCkpScfYNGcFDgG2Z88eSU5OlkCB583fuzX/O4FHCkIKI50wlYAQQoIdeqaQOBYeLt26dfP4R8QfmkASUwaeN3/v1vrvhB4pQkgowWUjIYQQQkgLoJgihBBCCGkBFFMtICYmRu655x69DyR43vy9g/m/E0IIaWuYgE4IIYQQ0gLomSKEEEIIaQEUU4QQQgghLYBiihBCCCGkBVBMEUIIIYS0AIopB+bMmSPDhg2zNyocO3asfP755w32Wbp0qfzmN7+RhIQE3eeEE06Q8vJy++v5+fly/vnn62spKSly2WWXSUlJifjyvLOzs+XCCy+UTp066XmPGjVK3nvvvQbH8MV5W3nooYe0A/0NN9xg31ZRUSHXXHONpKWlSWJiopx11lmSk5PT4H27d++W0047TeLj4yUjI0NuvfVWqamp8dl543e87rrrZMCAARIXFyc9evSQ66+/XgoLC/36vB27mE+ZMkVf//DDD/3qvAkhxN+gmHIAndDxR2blypWyYsUKFU1Tp06VdevW2YXUKaecIieffLL89NNPsnz5crn22msbjM2AIMH+CxYskE8//VQWL14sV155pU/Pe8aMGbJp0yb5+OOP5ddff5Xp06fL//3f/8mqVat8et4G/I4vvPCCCkIrN954o3zyySfy7rvvyqJFi3TsD87dUFtbq3/Yq6qq5IcffpDXX39dXnvtNbn77rt9dt44R9wee+wxWbt2rZ7PF198oeLUn8/bypNPPul0tJKvz5sQQvwSG2mS1NRU28svv6yPx4wZY7vzzjtd7rt+/Xobftbly5fbt33++ee2sLAwW2Zmps/OOyEhwfbGG280eL19+/a2l156yefnXVxcbOvfv79twYIFtgkTJthmzpyp2wsKCmxRUVG2d999177vhg0b9DyXLl2qzz/77DNbeHi4LTs7277PnDlzbMnJybbKykqfnLcz3nnnHVt0dLSturra78971apVtq5du9qysrL0t/7ggw/sr/nyvAkhxF+hZ6oRsAqfO3eulJaWatgsNzdXli1bpqGNcePGSceOHWXChAny3Xff2d8DzxVCZEcddZR926RJk9Rzhff64rwBzvc///mPhqAw2BmvI4R24okn+vy8EcaDtwOfZwVeturq6gbbBw4cqGEznK8576FDh+q/hWHy5Mk6pNd45dr6vJ2BEB/Cp5GRkX593mVlZXLeeefJs88+qyFhR3x53oQQ4q9w0LETEAaDCIHYQJ7OBx98IIMGDZIff/xRX//rX/+qIZwRI0bIG2+8IRMnTtRwTv/+/TU3CWKrwY8cGSnt27fX13xx3uCdd96RP/zhD5p7hPNBvgte79evn77uq/OGqPv555817OQIPjc6OlpFnhX8ITfnhHvrH3bzunnNF+ftyIEDB+S+++5rEDL11/NGWBXCGyFiZ/jqvAkhxJ+hmHICEodXr16t3oT//ve/ctFFF2m+Djw64I9//KNccskl+njkyJGycOFCeeWVV2T27Nl+ed4QVHfddZcUFBTIV199Jenp6ZpUjJypJUuWqKfBF+zZs0dmzpypOVqxsbESKDTnvOGxgRcI/wYQ4f583sin+/rrrxvk0RFCCGkahvmcAG8IPDajR49WgTR8+HB56qmnpHPnzvq68fYYjjzySK1wAgiNIBxoBZVOCK85C5u0xXlv27ZN/vGPf6jggxcN2zFzDSE9hHN8dd4I4+EzUVkILxhuEH9PP/20PobHA4nOEIFWUM1nzgn3jtV95rmvzhthVlBcXKzFCklJSeoFjIqKsh/DH88bIgv/rcATaF4HqKA04WBfnDchhPg7FFNuAI9UZWWl9OrVS7p06aJVcVY2b94sPXv21McIs+GPP/5wGbDaxzHGjBnjk/NGHgywVhyCiIgIu7fNF+cNYYfQJLxp5gaBh6pC8xgCBJ4/A357CFeTC4Z7HMMqBCEKkJ/kKHrb6rzxu8IjhYpPCFx4fBw9Qf543nfccYesWbOmwevgiSeekFdffdVn500IIX6PrzPg/Y3bb7/dtmjRItuOHTtsa9as0eeoaJs/f76+/sQTT2jlEirMtmzZopV9sbGxtq1bt9qPccopp9hGjhxpW7Zsme27777Tyqlzzz3XZ+ddVVVl69evn238+PF6TjjXxx57TF+fN2+eT8/bEcfqsquuusrWo0cP29dff21bsWKFbezYsXoz1NTU2IYMGWI7+eSTbatXr7Z98cUXtg4dOthmzZrls/MuLCzUqs+hQ4fqb42qOHPD+frreTvDsZrPX86bEEL8CYopBy699FJbz549tYwdfyQmTpxoF1KG2bNn27p162aLj4/XP+xLlixp8HpeXp6KkMTERBVel1xyiZaj+/K8N2/ebJs+fbotIyNDz3vYsGGHtUrwxXk39ce9vLzc9qc//UnbPOC8zzzzTBUlVnbu3GmbMmWKLS4uzpaenm67+eab7S0IfHHe33zzjYoQZzeIXX89b3fElL+cNyGE+BNh+D9fe8cIIYQQQgIV5kwRQgghhLQAiilCCCGEkBZAMUUIIYQQ0gIopgghhBBCWgDFFCGEEEJIC6CYIoQQQghpARRThBBCCCEtgGKKEEIIIaQFUEwRv+Diiy+WadOmSTCAocA33HCD2/u/9tprOlyYEEJIYFI/Fp6ENIsWLZILLrhA9uzZ47NzeOqppzDayGefTwghhHgKxRSRjz76SE4//XSf/hLt2rXjvwQhhJCAhGG+IOLTTz/VcFFtba0+X716tYSFhcntt99u3+fyyy9XL5SVjz/+WM444wx9XFlZKddff71kZGRIbGysHH/88bJ8+fJGP7dXr17y4IMPyqWXXipJSUnSo0cPefHFFxvs8+uvv8pvfvMbiYuLk7S0NLnyyiulpKTEZZjvv//9rwwdOtS+/6RJk6S0tNT++ssvvyxHHnmknuPAgQPlueeeazL0dt1112n4LTU1VTp27CgvvfSSHvOSSy7R8+7Xr598/vnnh3ntjjnmGImJiZHOnTvrb1lTU2N/He+fMWOGJCYm6uuPP/74YZ+N3/SWW26Rrl27SkJCgowZM0a+/fbbRs+XEEJI4EAxFUSMHz9eiouLZdWqVXYhkJ6e3uAPN7ZBWBjWrVsnubm5KnTAn//8Z3nvvffk9ddfl59//lkFxuTJkyU/P7/Rz4aIOOqoo/Sz//SnP8nVV18tmzZtsgsOHAMiBsLs3Xffla+++kquvfZap8fKysqSc889V8XZhg0b9PynT59uDwO+9dZbcvfdd8sDDzygr0PI3XXXXXrOjYHX8Xv89NNPKqxwjr///e9l3Lhx+l1PPvlkufDCC6WsrEz3z8zMlFNPPVWOPvpo+eWXX2TOnDnyz3/+U+6//377MW+99Vb9TeHdmz9/vp4rjmUF33Pp0qUyd+5cWbNmjX7mKaecIlu2bGn0fAkhhAQINhJUjBo1yvboo4/q42nTptkeeOABW3R0tK24uNi2d+9eqBHb5s2b7fvj9bPPPlsfl5SU2KKiomxvvfWW/fWqqipbly5dbI888ojLz+zZs6ftggsusD+vq6uzZWRk2ObMmaPPX3zxRVtqaqoe3zBv3jxbeHi4LTs7W59fdNFFtqlTp+rjlStX6nnu3LnT6ef17dvX9vbbbzfYdt9999nGjh3r8hwnTJhgO/744+3Pa2pqbAkJCbYLL7zQvi0rK0s/d+nSpfr8L3/5i23AgAH6fQzPPvusLTEx0VZbW6u/KX7bd955x/56Xl6eLS4uzjZz5kx9vmvXLltERIQtMzOzwflMnDjRNmvWLH386quv2tq1a+fy3AkhhPg39EwFGRMmTFDvCLw4S5YsUY8OwmHfffedelC6dOki/fv3t+8Pj4oJ8W3btk2qq6vluOOOs78eFRWlYS54gBpj2LBh9scILXbq1Ek9XgDvHT58uIa4DPiMuro6u/fKCvadOHGihvngxUE47uDBg3YvF87zsssu09CaucFbhO3unmNERISGD/EZBoT+gPW8x44dq9/Het4IT+7du1c/r6qqSsN2hvbt28uAAQMahDcRdj3iiCManC/+LZo6X0IIIYEBE9CDDITwXnnlFQ1LQQghnwjbILAgSCC2rOE0hOVOO+20Fn8uPssKBAjEkidA6CxYsEB++OEHDZ0988wzcscdd8iyZcskPj5e94HAsooY877mnqN1mxFNnp63MyC8cF4rV6487PwgqgghhAQ+9EwFad7UE088YRdORkzhZs2X+uSTTzRfCN4U0LdvX4mOjpbvv//evg88VchzGjRokMfnBM8YxJ01gRyfER4e3sCLYwXCBl6ge++9VwUfzuuDDz5Q7xG8a9u3b9d8Luutd+/eHp+jq/NGrpO1ZQPOG8nq3bp1098LYgwizwDBunnzZvvzkSNHqmcK3i7H84X3jhBCSOBDMRVkIMkb4SwkaRvhdMIJJ2hSNP7IWz1T1io+gDAckrKRVP3FF1/I+vXr5YorrtCEbITVPOX888/XqruLLrpI1q5dK998840mgCPZ24TWrECcIKl8xYoVsnv3bnn//fdl//79Km4ABNbs2bPl6aef1u+EUNqrr74qf//738WbIJEevbdwrhs3btSQ6D333CM33XSTCkF4lvC74Pf6+uuv9buhKhGvGRDew/dHxR++x44dOzQBHuc/b948r54vIYQQ38AwXxACwYS2CEZMwfMEz1JOTo7dEwQv0cKFC+XJJ59s8N6HHnpIw1wQOvBwoULvyy+/VJHmKQjN4RgzZ87Uyjg8P+uss1yKn+TkZFm8eLGeW1FRkfTs2VOrBadMmWJv74BjPProoypkIAKR+9ScruPugFYGn332mX4G8rjwO0I83XnnnfZ9cA4I5aFPFzxWN998sxQWFjY4DoQecrrwGioEUVF47LHHyu9+9zuvni8hhBDfEIYsdB99NvEh8JJAFMD7RAghhBDPYZgvREGI6uGHH/b1aRBCCCEBDz1ThBBCCCEtgJ4pQgghhJAWQDFFCCGEENICKKYIIYQQQloAxRQhhBBCSAugmCKEEEIIoZgihBBCfAsaJb/55pv8ZwhB6JkihBBCCGkBFFOEEEIIIS2AYooQQgjxgOXLl+tgecwTveqqq3SuKQlNKKYIIYSQZlJVVSXTp0+Xq6++WvLy8mTw4MHyww8/8HcMUSimCCGEkGaydOlSiYyMVDEVFRUl1157rXTu3Jm/Y4hCMUUIIYQ0k6ysLOnWrZv9eVhYWIPnJLSgmCKEEEKaCbxQe/fubbDN8TkJHSimCCGEkGYyduxYqa6ulhdffFHvn332WfVWkdCEYooQQghpJtHR0fLee+/JM888I2lpabJmzRoZN24cf8cQJcxms9l8fRKEEEIIIYEKPVOEEEIIIS2AYooQQgghpAVQTBFCCCGEtACKKUIIIYSQFkAxRQghhBDSAiimCCGEEEJaQGRL3kwIIaR1qKurk3379klSUpKOKiGEeA66QBUXF0uXLl0kPNz7fiSKKUII8UMgpLp37+7r0yAkqNizZ0+rzFCkmCKEED8EHilj/JOTk319OoQENEVFRbo4MdeVt6GYIoQELbNnz5b3339fNm7cKHFxcTru4+GHH5YBAwbY96moqJCbb75Z5s6dK5WVlTJ58mR57rnnpGPHji6Pi2M+//zzsnLlSsnPz5dVq1bJiBEjGuzjyXGtmNAehBTFFCHeobVC5kxAJ4QELYsWLZJrrrlGfvzxR1mwYIEOpD355JOltLTUvs+NN94on3zyibz77ru6P8Jr06dPb/S4eP/xxx+vwswVnhyXEBKYcDYfISRk2L9/v2RkZKi4OeGEE6SwsFA6dOggb7/9tpx99tm6D7xYRx55pCxdulSOPfbYRo+3c+dO6d2792GeqZYe14Ql2rVrp8eiZ4qQltHa1xM9U4SQkAGGFLRv317vEaaDt2rSpEn2fQYOHCg9evRQ0eMpnhwXoUAYfOuNEBIYUEwRQkKm1cANN9wgxx13nAwZMkS3ZWdnS3R0tKSkpDTYF3lNeM1TPDku8ruwcjY3VvIREjhQTBFCQgLkTq1du1YTwv2RWbNmqefM3FDFRwgJDFjNRwgJeq699lr59NNPZfHixQ16zHTq1EmqqqqkoKCggRcpJydHX/MUT44bExOjN0JI4EHPFCEkqLseQ0h98MEH8vXXX2uyuJXRo0dLVFSULFy40L5t06ZNsnv3bhk7dqzHn9taxyWENCSnqEKe/Gqz3vsSeqYIIUEd2kNF3UcffaTN+ky+EnKS0HcK95dddpncdNNNmpSOKp/rrrtOBY+14g7J48hpOvPMM/U5ektBGKHdgRFKAF4n3Nw9LiGkZfz7p93y1YYcfXzDpCPEV1BMEUKCljlz5uj9iSee2GD7q6++KhdffLE+fuKJJ3RW11lnndWguaYViCVTCQg+/vhjueSSS+zPzznnHL2/55575K9//avbxyWEtIxzj+nR4N5XsM8UCQgefPBBeeGFF+TgwYMyePBgfTxs2DBfnxYhrQb7TBHiPdhnipBDYZYVK1ZIXl6e/Pa3v5UZM2bwdyGEEOIX0DNFAg7MPIuPj9eVRmJioq9Ph5BWgZ4pQrwHPVOEiMhLL72k4T0k9iLBF1Va8FIRQgghvoYJ6MTvwfwzdK7GPLVRo0ZpMm9CQoIKKkIIIcTXsM8U8XtKSkq0KgqDY2tqarRiihBCCPEXKKaI34M5an/84x+1eq9Xr17aeBFzzwghhBB/gAnohBDihzABnRDvwQR0QgghhBA/hmE+QgghhJAWQDFFCCGEENICKKYIIYQQQloAxRQhhBBCSAugmCKEEEJIm5BTVCFPfrVZ74MJdkAXkbq6Otm3b58kJSVJWFiYr/9NCAlo0Jm+uLhYunTpos1WCSHE8O+fdstXG3L08Q2TjpBggWJKRIVU9+7dff1vQUhQsWfPHunWrZuvT4MQ4kece0yPBvfBAsWUiHqkjPFPTk729b8JIQHfHA+LE3NdEUKIoWNybFB5pAwUU2gDfyi0ByFFMUWId2DInBASKjChgRBCCCGkBVBMEUIIIcQr5ARptV5TUEwRQgghxKvVev/+aXdIiTCKKUJIwBsyQoh/cO4xPWTSkR2bXa3nqQjzF5iATggJ2t4vhJDAqNY7N8BbJtAzRQjxeDVJCAkNmuu9zmnm/kaE4T4QoZgihAS8ISOEtC6uwnCuRNO/newfzOkEDPMRQgghxCkQPhBE8FwDR+/1S0u2y8er90lJZY3cedqgRsN2wZxOQDFFCCGEEKc0JYDMNNswN3KnAj0vqjEopgghhBDilKYE0OXj+0hCTKRbAilYR8kAiilCCCGENCmArCE/eKsgoIJZIDUHiilCCCGEuB3y+3F7nuZI4ZZ4yCvVMcSLVyimCCGEENIkJpRnPFOllTWN5lPlHPJkhYLYopgihBBCSJOYkJ5pbTB1RNdG86X+HcTVe45QTBFCCCHEbdwVSecGcfWeIxRThBBCCHEbd0VSxxBKTqeYIoQQQojbhJJIcheOkyEkSAjmUQ2EEN/aEXfsS04I2yB6pggJEkIp2ZMQ0vp2BGE8U43XmH3JOVS1h+q+pdvznO4T7FBMERIkhFKyJyGkZVgbcH60OlNsInLF+D4N2h/MnLtK9hdXal8pM3fPmX359yGhdWyfNH1fKNogiilCggTmMRBCPGnAuX1/qX07ZuxBWEFgHSiuVDEFsK8rb9O5loVcsPeTcgXFFCGtTCg1riOEBAZWD5TxTEFIfbAqU8qramXqiC6SnhQjNrFJh6QY3d/Rllmf3xBiYT1HKKYIaWWYy0QI8bcFndWTPaRrO71fm1kon67JkurwOtmYXSx/mzrEPoMPIOx3sKxKH+O9tG3/g9V8hLQyMEShmkdACPE9RvTgvrHquw9XZ0p1bZ3Ex0RKUXm13D9vvV2A4b0I+5VW1qo9A7Rt/4NiipBWxqwAGeJre2bPni1HH320JCUlSUZGhkybNk02bdrUYJ+Kigq55pprJC0tTRITE+Wss86SnJz6qiVX2Gw2ufvuu6Vz584SFxcnkyZNki1btjTYp1evXhIWFtbg9tBDD7XK9ySkMVyJHkeRhTBfeFiYjOndXkqramVTdrG8tGS7/RgI+yXERNir+mjb/gfFFCEBSij3dHGXRYsWqVD68ccfZcGCBVJdXS0nn3yylJb+L+H2xhtvlE8++UTeffdd3X/fvn0yffr0Ro/7yCOPyNNPPy3PP/+8LFu2TBISEmTy5MkqzKz87W9/k6ysLPvtuuuua7XvSogrrCE92AyE83APgWVueI5Ze+eNqRdN8FCVV9fKsu356qECT50zUqYM6Uwve0typmA43OX66693e19CiGcEW75Ca9iYL774osHz1157TT1UK1eulBNOOEEKCwvln//8p7z99tvym9/8Rvd59dVX5cgjj1QBduyxxzr1Sj355JNy5513ytSpU3XbG2+8IR07dpQPP/xQzjnnHPu+8Ih16tTJ7e9FSFtV8JVU1thtxwPz1stHq/dpn6g7ThtkX6D9vOug7M4vk49X75PEmEjdNxhsjU/F1BNPPOHWfnBlu2voFi9eLI8++qgaNqzaPvjgA3XDA6wgYaw+++wz2b59u7Rr105d6XCTd+nSxX6M/Px8Xe1hZRkeHq4u+qeeekrd9YQEM8HWV6o1bIwjEE+gffv2eg/bA1sD22IYOHCg9OjRQ5YuXepUTO3YsUOys7MbvAf2acyYMfoeq5iCvbrvvvv0eOedd556wSIjWfdDfANsBQQThFSYhOk9hBPuzXbjyUJfKbz28pLt9tfwnOkKznH7qoYB8TZwtQ8fPlwuvfTSw9zqZWVl8vPPP8tdd92l+xw8eFBmzpwpZ5xxhqxYscK+3/nnn69CzLjwL7nkErnyyit1pUlIMLdVCLa+Uq1hY6zU1dXJDTfcIMcdd5wMGTJEt0EURUdHS0pKSoN94WXCa84w27FPY++B4Bs1apQKtx9++EFmzZqlturvf/+70+NWVlbqzVBUVNSCb0uIcxsCUQRPU+/0BE2SgscJt4RD947vu3x8H7tHy3inrLD1Sz0tWiJVVVWpAezbt69Hq60pU6bozRlY6UEgWfnHP/4hxxxzjOzevVtXehs2bFA3/vLly+Woo47SfZ555hk59dRT5bHHHmvgwSIkEAm2UF5b2xgryJ1au3atfPfdd9IW3HTTTfbHw4YNU9H2xz/+UZPiY2JiDtsf2++99942OTcSujYESeWVNXVSU2eTlPgozZdCHymIKauX23GsjKN3iiNkvJCADq/RZZddJvHx8TJ48GAVNwDhttasVoGLHi5+s4qESx2PjZACcL0j3IekUFdg9YdVn/VGiD/ii9Jjf0hs97aNufbaa+XTTz+Vb775Rrp162bfjnwmCLaCgoIG+6Oaz1Wuk9nuWPHX2HsAwoA1NTWyc+dOp6/DcwUbZ2579uxp1nckxB0bgt5RR/VKlZE9UlQcoWGnM++39X3YDrGFXCtT+WfEFpp9TmLrF8/EFC76X375Rb799luJjY1tIGT+85//tMp/0aiSue222+Tcc8+V5ORk3QaXOpJJrWD1Cre6Kxe9WQHC82Vu3bt3b5VzJqSl+KL02FVPmrbEWzYGyeIQUsjH/Prrr6V3794NXh89erRERUXJwoUL7dvQOgHibezYsU6PiWNANFnfgwUZFnCu3gNWr16tCz1Hm2WAtwq2zXojxNs2BF4ozNA7f0xPFUEQQ86ud8f3OYoy8xzz/G5g6xfPwnyoWIFBQ3ImPEUGrCC3bdsm3ga5UP/3f/+nhnHOnDleMdRWFzwMIQUVIf6T2O4tG4PQHvInP/roI62sM4ssLKLQHwr38IDBHmARBgED7xdEkTX5HEnpWISdeeaZej7Ivbr//vulf//+Kq6Q24m0AlNAA685xNVJJ52kn4vnSD6/4IILJDU11au/FSGOWPOYAJLIzSBj9I3CyJiv1ufI2L5pMm1EV82FMu0RXI29cszRDLacTZ+Iqf379ztdXSGh3Gr4vCmkdu3apStL62oNq8Pc3NwG+8ONjgq/xtztWAE6y1kgJNTxl2RSb9kYs/g68cQTG2xH+4OLL77YXkVoKoGRAoB+Uc8991yD/eGtMpWA4M9//rOeC4pdECI8/vjjNX/TeNFgX+bOnSt//etf9ZgQXBBT1kUcIa11DZuxL8hz+jWzUDZnF0tFTZ22OhjYKVln720/UCq5xZX2XCnHUTH+aBeCTkwhR2nevHn2BnTGuL388suNurk9FVLoLIxcB3QotoLPgiFDeTPc9QCCC1U7yE8gpC1orqHxZ8PkLwnv3rIx8GY3BQTQs88+qzd3j4PzQUNO3JyBKj70qSKktXBlR7CtoKxaEqIjZeWug1JYXi2REeFSVVEtOw6UysBOSXrr0T7ePsDYvCc1PtqpR9pf7ELQiakHH3xQq/DWr1+vniD0dcJjlP+ig7C7lJSUyNatW+3PUbWDvAK42zGm4eyzz9b2CEgcra2ttbvo8ToqY9BY75RTTpErrrhCOxFDfCE/An1eWMlH2ormGhpPDFNbCTB/CPF508YQEiw42gA8/mJttiaFozO5sQsI12EbWh/8tCNPKmtsMq5vmny39YAKKMzdq6qtk17pCXb743jdO4b7/MUuBF0COlzaED0wckOHDpX58+erSx55AcZD5A7oFzVy5Ei9AbjA8RgzrzIzM+Xjjz+WvXv3yogRI1RcmRsMquGtt97SfIaJEydqSwSc24svvujJ1yKkTSruPKnQa6ukcH+ZteUtG0NIsOBoA2A/4qMjZEtOiX1+HgQXRr/sL67QFghxUZFSVlkjW3NL5MyRXWXOBaM1bwoJ6AgBmopdXO/GQ4VjOdoaf7EL/kyYzR0/eJCDBHQkoiInghU0xB/x59CgI7ye+DuStrEBZgzMpCMzNPcJYb2i8mrNj4qNDNdhxciDwmsXHtuzwXw+CCaIKiSfGyGFbWP7pOn+WPDheSDYHH+wS26H+ZrTi4mChASrCPGVqDErQ7PyRAYROhODQBFZTUEbQ4hrHKvnjFfpjBFd1B6gQg/iqW96ghzdu716puApSU9MlKiIcBVH5n3oLwXRBKyNOc09PssILsA8KS+KKTTHdLeKBvlNhPgD3k6c9HUiJj4foyAAVo8gWAwebQwhzUs0X7o9T0VRvWiKkeIDJVqhh1ypdnHR8puBGfoacqhgJ4Z0bafvw3N4pQDeb45ttSHMk2olMYVqOgM6+N5+++1aWmwqa5DL8Prrr2svFkL8BW8bBF8bGHxu/ZDShucQDImhtDGEuL+AM4nm+4sr5YdteZKRFCOR4eE6KqaiuFZqam3y4/Z8rUQd1i3lMNuFnCmIMRzHnb5SpBVyppDsffnll2s3citojofkb3QtDiSY4xH8BFLOUVt8t9b8PbxxPQWbjfEE2iXirAGneYz7T37JlOzCSqmtq5PJQzprq4OfD7VDgKjKL6mUqlqbjo+Ze+XYkLGJvriePKrmgxfKOg/PgG0//fSTN86LkKAbkeJP382T97TlzD7aGEIOr6RDJ/O3l+2Wp77aop6lsqo6qaiulVqbqGfqztMG6ew9iKpbTj5C+mYkak8pbHe8flmh5wdiCqNXXnrppcO2o6Eex7IQf8SddgStLRY8PX5T7/Ok1YInv0dbClLaGBKqNHa9I4xUW2fT6/D9nzNlaLd2kpEcK6cO7SyDuyTL8Q9/rYILqQBvLN0lOUWVcmzfNHuuVLAuKAO2aSfGL2D0wueff27vNA6PFDqVv/fee94+R0JajDvx/9ZOLvf0+E29z5PcBmfvcdYU0Pq5bZkvRhtDQhVn17u5NjFHb21moWzIKpayqhrJKqiQtMRobdD52PzNknmwXMXWSQMy9BgI9SHsh/eb67axGXyhFvrzuWcKzTEhnE4//XSdg4cbHm/evFlfIyQQ8cTD4y4wUnDLo4LGHN+sQGEcve158lZTQOvntmVYgDaGhCLGTgzt2k52HiiV6c99r/bBXJu4IWSHZp2J0ZHSp0OCfUgxwnoJMREyvFs72ZhdJIXlVZp8XlpVo+831685jjMPFb1XnsOmnUz0JG2Aaa43dUQXueO0QbrN9HGBMTR9X8zQUSNYWnul6Cq5tSWfxcRp78DfMfSw2oQ1ewulqqZOk8cxLsaaeI4xMinxUdInPVG+WJuls/c6JsfIvoIKQQejzu1itbfUzIn9ZdWeArdtSjB7por8pWmnIxgw/M9//lM2bNigzwcPHiyXXnqpniwhwUZLjQxWm+ZmsLrdYUAhqBzd+2aliPc5Cq3WCCn4Uyk0bQwJNaw2AYnm8DDBE2Vt2gtbcHz/dBnSJVnu/HCdjoupE9EKvv4dEyWvpEpDgKcP7yoTBmTozd20ALZDaGMxhZl6kydPlri4ODnmmGN029///nd54IEHdIYWJqYT4i94Y7XV0nwqDBeFGMK9M8OFBFGcpxntYDCPnQmtYOib5QraGBKq9slc3w9OH2rfB6E+TD7olByrPaUgtiCkTM85gNAfhFR0RJh0SKqftUf8PMw3fvx46devn1b0RUbW/3HAQFL0hdm+fbssXrxYAgm600PDdQ4D5KkQaakg8/X7A+16CjYb4wm0S6GBszl5jtf4OS8uldV7CiQ5NkqKKqolPExURKE1Qnx0uKQmxEhqfLRszinWtgjvXT3O7+1EsF1PHokpeKRWrVolAwcObLB9/fr12muqrKxMAgkareCmLYSIu5/RWqLKn8SWN66nYLMxnkC7FBrg2n1pyXZZtj1f9h4s08q8OReMbnAdG89USlyUzF+fI/irDUE1vn+6dEmJ05YJ5VW1sm1/qQzpmtxmhSKBRJE/Nu3EiezefXglwJ49eyQpKckb50WIV/CmyHDW/wWP//L+Gpn27PfyyS/7Gu3hAoN41pwf5NMm9msMV9U2wVaFQxtDApWm+sLBDqBK74a5q9R2QEjBy7SvoFzDdjv2l8rMuav0/dgXXqm8kkr1XLVPiJZ2cVGaZI5GnZtySrTP1MINuRr+QzXfr4eq/9qyyS7xMGfqD3/4g1x22WXy2GOPybhx43Tb999/L7feeuth4x8I8SXe7B3lLBkc21Clhy7E2GYmszsDK8vcogqJjYpodD9Pcpz8NffJU2hjSLDYHMcF3d0frZVVuwvk172FEh0ZrnbjjBFdZPqoriqm8NqaPQXa5RwJ6Kjquz3vV0mOq/9zDfvROz1eVu8plIhw0Wq+1IQoGd0jVc4b01M/29imYBmCHrRiCiIqLCxMZsyYoXkMICoqSq6++mp56KGHvH2OhHiMN0WGs2RwbINA+mbTfk0ANZPZnYGqnKveXCkxkeGN7tcYrqptmluF409hQWfQxpBgsTmOogbjXdB0s2danIzqkaohOlTkQVTh9avfXCmVtfVdzpNi8Sfapvuu31esTTjRLqGqtk7DfGiFgJAfbM+UIZ3Vphi7EmwLrKDuM4W8hW3btunjvn37Snx8vAQizE3wf/zpj7+z3kzwNH20OlMN4xXj+9i3+zq3ydXneSMpvy2up2CxMZ5AuxQcOF6DJv8JiyuABVZxebVU19lUaKE31O3v/yoHy6r0dYQAw8PCNCcqJgqZOWHSo32c7M4vlzqbTcN+k47MkJnMkwrMPlMAhm3o0P+VbxLiixELroSJJ8LF2Xsct1l7viC3oaCsWvfDytI03APeON+Wii9Xrv5AWbXSxpBAx+o1xvWMMN+OA6V6D/YXV0pEeJhU1dTK+qwi+WJdtqQnxsjB0krplhovpVW1mloQHh6myeYQTzPG9tTZewM7JcvMSf19vsAkHoqpiooKeeaZZ+Sbb76R3NxcqatDy7D/8fPPP/O3JV7F2R//pnITPMkZcPYeV8fBdqweE6Ij1dhNHdH1sHNs7Hyt4Nzh3t+VV6bHMl3SW5r34Eo0+XtzPtoYEqg0tgDC9l35ZZoqsDu/TE4e1EnzplClt2B9jtTU2jSXak9+mVTV2uRgWbUkxoSLxERKj/bxkl1UIcUVNTJ3+R4N9WUkx1BIBbKYQvI5mnOeffbZ2rQT+VOEtCbO/vjDWMEoQXwYA9bSwbzO3tNU0jc+f+n2PHvOg/V1EwI0ITXr+VoNLfaDcUUiuzXu3lIPkr+LJlfQxpBAxdUCCNc85u3hAkeYbkzvdLtXCWG/6KgInaWHuF5UZLjUVYjklyLUF63Ve0O7tZNhkqJJ6VdP6GsfE0MCWEx9+umn8tlnn8lxxx3n/TMixE1ghBBSg+Ey1XXAcTBvc7CG8KyT1V2F6sy+1s93NKo/bs9TEQXM+QLreBjcQ2RZc66a8x38KafMG9DGkEDF1QII1ye8TwjbofHm0K41miaA3ClzzS/bnid788vrE6UOgRCgsR2wGSt318icRdt0Xl8wXOshLaa6du3KflLE7wxXc8RTU+LDCCGIIGtXYlez8pyJLcfZe3iO/AgjruDNAqbBngntOQo5d/AkHOjPAow2hgQqjnbINOUsOzRT77stB1QgQVghqfzS15ZrawQjqLbv3y21NpvERIZJRHi49M1IkJ0HyuT4fukysHOy2g/kaeLaDUSvc7DiUdPOxx9/XG677TbZtWuX98+IkEawNqJriRhoqskljgkRhDWhdT+zHR6kpppnGqOKUmVj9ODOhyGEQMNxnLnp8d7P12bZG/e5A44ztk+aijRn73HWwM+fG33SxpBAw1xjqNaz3kNIvbdir7y7cq+G+ZAjVVtnk+raOrUjaMj52vc75LwXl2oX9EmDOsopgztJ+4QYiY0MlxU7D+oiDN4o2BR4pE4Z0okhvmDwTGGcAxJE+/Tpo9U26DFlJT8/31vnRwIcb3s/rB4Y4I43xlUrA+Aq58AIIRhEdBTG/taSZsy/Mh4rHP/lJdvV4G3NLZFh3VJ0f0fvkklYxwyty8f3Oez3MOeJ9y7evF+PheMaj1Vj4FjWakLH38MINKxqTXjAnyv6aGNIIGEqe3F9G8+zucciJzY6QooqqzWhHL2iauvqhVRybKQUVtRoHtW2A2USgXypiDAVXJi517ldrCaeb91fIn3SE+y5lvRI+R8eiSl0Oc/MzJQHH3xQOnbsyAR04hJvd+FtLEHcnXMAjhWAzkJqRtggnGeadMI4YtgoBNXcK8c2aI+wJadE8yCQP5oYWy9qjHiB+LImoIe5EHrW8xzVM1X2HixvkIzuyW9jfc0xPODPRpk2hgQSuKZwbWGhhOv9w9WZUlZZK/ExEbpwGtwlWf7ywVqJi46QkT1SZOWug2oLkGhugF1IS4zRXlPLduRLZY1N/jZ1iHq2TV84hvaCTEz98MMPsnTpUhk+fLj3z4gEFd70fjjzcrkjBhoTYPD8YByMaUdgPsOsLDEPy4TjcG9ttmc1oj3T4tVbhdEPqLQxuQ3ZhRXyhxeWag6EWVWahHmcu1VAOZ6n8Xy5i/E2WSsIrb2x4JGyeuj8GdoYEkg4XrvwYh8orpT0pBh9jp5QyI/anVcmeSVVUlNbK2Hh4XJcv3T1QsNjZYriJw/uJNsPlKpdQSNgsxCzHp8EiZjCJPfy8nLvnw0JOrzp/fDUy+V4DtbHplWBqbYznzHWIqKMcMM9PFKOITlgRExmQbmWLE8YkKHiBYONUb0DNmUX2z/bhAFdGUlXVYXu/kbWCkLzmf7siXKENoYEEtZrC9crQv64IS8K/ePySqvUywxHVJjYJDw8XD1Q00d21SHFoM4mkltcKQ9+tkFOOKKD7m9yM0GgXLuhikdiCvP3br75ZnnggQe0A7pjzlRrtGonpDVyfMIc7h2rAx0xlTk/7zooZYdEkjFyzlozPH/BaLn5ndW68sSYCGN0jdve7G/1hlmP2VwB6ayCMBChjSGBgKt8THib8kuqpLy6TtbtK9I8KRAZHi5dU+O1fxRyoZ5auEUqa2o0TwodEBDag61Apa9ZzDXXQ00CSEydcsopej9x4sQG29FwDA08a2vr/8gQ4k3c8ay4k/De0ACG6X+3SDJ3p3IO7/t49T6prqmThNj6irzGPhf5DlOGdlZhYzxWjsLLmTfMgOcQWE19jrPfyJNByv4CbQzxZ0zRyUrLogqYdirwRhdXVkvPxAT1UBm6psaptwoeqM/XZstZo7rqY3Q1r6yulcSYCLnmpL76Gq75QPImhzoeiSmMkSHEl5V/jitCGDbbIQ+TtX+TM7DvB6sydfUIVzsWAJi+bloEOHqMrOdjuq4bzxT2hWhpbLSNM4+a1Ug6esOsoT1jnF19TrBCG0P8GVyHsCG4NpF0DuGDnEmkDEBg7corldo6kazCCi1IgVgCOUWVWrEHkCN13pieEh8TqQumbbklEhMZrkIK+VLIz2RjziAXUxMmTPD+mZCQpzlCwbFCD0nkmKAO1/mwrikqSB6Yt17n5ZkEThP2guhCMuiO/aX6XjTMC5MwNYzTLPP1nJ0PxA4S0E2bBMecJ5ML5Riya+z7OK4+G0tK9+d2Bt6ENob4M7j+sBjDYGJ4moxtgYcbfaMQmqutrZbqWnibYqSqpk73g9hCSA+gwu/iV3+Sg6VVMv6IDhIdUZ9HBYEF24I2C6zeC3IxRUhr0Byh4LivWRGWVtXI9gMlsv2QUIJxg7CB4UOrgdyiSi1X/u2gjlp+XFhebfc6OfZoaux8sC+MnXX1aM2FchayawxXnixHoUW3PyG+9ZabhRRyIL/bekDtS25RhVz++grZeaBE856iIpFmLtI+PkYuHNtDnl64VdumwHVeXYt0GJENWcX2EOGKnfnSKz1BMpJj1QMdSJW3pJ4wm05WDG2KioqkXbt2UlhYyOT5AEjwdBYGNDkM+I95fL90TeyElyo+OkLd6Bjl8NWGXOmWGqfT1iGa4EpPiY9Sw2WO7dhSwGAMKNoeGAO6NrNIsgrL5cyRXRuMgnF2jtbqP2tiuGOPKbwe6OE7Xk/8HYMFsziyXpfnvLhU+80N6pwso3umaloB+szB+wSRhL+oGBdTU2eTvh3qc6aKDoX5YiPDJCay3iYN69ZOvt20XyLCRR48c6jszCvzy9FOwUJRK/+dp2eK+DXudjzHfqYCZsnWA+qFgnHLLqpQUYXmd1j1GTFjvTeCBseEYEKCOcQSZmUZAXTVmytlf3GF3PHhWj0ugDALD6tfgTbmOTKNPSHerC0LrN8nVMJ3hAQSzq5LLKhgB7q3j9e8KVTt1dm9E/X3cVHh9UnoFfUzPI2YgtpKT4yWuJhIGdI1WZZuy5O/TR0s00Z2C4iZmcQ1FFPEJzjz1DgzHM6MmbNRLdb94KFC/hSqZBD+gzsdze+M98hUuZnOwtYxK/Bg4T2415laK/fq8eKjcamEyRXje8um7BLZmF2kbn4IN2RAmIaczrCOkTHd0B0biDJ8R4j/4WyIOUJ66oUSjH4Jb7CYMp6p9vFRkhgbJZ3bxcjqPYX6GlofVFXXyY68Ml2EGW/WY/M3NxBToVJkEmx4NOgY1NTUyFdffSUvvPCCFBcX67Z9+/ZJSUmJN8+PBCnGYMAT5GzYrqloAyYMZowL9nd8jzF6uMf4hn4ZiZIUGyFJseiBZmvgDbKCY0PkoFsxvEcQTFhJ4gZjifchWR25VTgOKm0ykmM0VIhWBwgXwiPW2LBgfMaUIZ1VrJmhx6YruXnsCc6GF7fm+9oa2hjSVrhzTRibZfIwt+0vlXZxUdKnQ4KmE5w4oIP075gk0ZFhUl5jU6EEIYVmnKB3eoKM6JGi+ZoI8f3l1IHaKuGWk49o8Nlm2gK91CHgmdq1a5f2gdm9e7dUVlbKb3/7W0lKSpKHH35Ynz///PPeP1MSVLhqLmld/SHHCfdmtAKA+HD0VplGmhA/pnoPrnhMWR/aNVZ+2JanoscVEDhodQDvERLYke+APAeIstLKWvVCzRjbU+Yu32Mfcmz9fMfH1vwthApby+vk6Qo2EFa+tDHEW7gTNnOsoHXM0xzZPUWLWIYe8mqjxQHCdLqY2pYncVERuoC7ZFwvue7fq3RQMRZpsVHhum/XlPpxTrAdpkP66J7t5aJxvRs08PX3mZnEy2Jq5syZOtX9l19+kbS0NPv2M888U6644gpPDkkCCG/E9B2bS5qVIUJsS7YcUE8Q5tltzC5WgZMQHamrQcep6SYfaWtuvUcUniMYOITtII6wOkTrAwgjR+GFbfge2HdY13b6WTCMKG1esD5Hq2senD7Ufs5j+6Y3EEkwiGZWn+kPZYYjo1UDsFYHevt39jTPKhDys2hjiLdwZ/FgvSZgH0zeJK5fvPc/y/fowg59o16acVSDOZj7CsrVXiEl4M0fd6nNgWd7TJ/28u9lu8UmNqm1iQop0/QXHdHNwPRAuB5JK4mpJUuW6CDS6OjoBtt79eolmZmZnhySBBCuVnEtSZY0x8RgYVTYoSdLz6R4e44RDNuCddnyzvI98sy5I3WQMN4DwYHcg87tYqWmrk52HiiTlLgofR+MFTxaYQ5VczBmVvCZmPCO2XmREeGaqH7SgA66v1XQ4N4qkiDCUNVjjKL1O0wd0UVFV0sMZFN/BDxdwQbCypc2hngLd8SK9Zqwjpgy79l5oFTm/ZqlXcqRfwmxZI4JjxUGnGMMjGFM7/bas27Z9jxtCIwFFkQaFmGwKbA1ZmB6IFyPpJVypurq6pyOjNm7d6+G+0hwY43pmz/4jeUMNeeYMDZwh58+vIs9xwivwbAdKKnSqpjb3//V/rloWYBeLRBScKdXoDlenc3eq2V8/3T1NmHFCK8SjjW2b5o9lAcvGI6B1WNsVISWMn94zXEyc9IR+hl4zxdrs9X7hfODSIKnC8eBMRzRPcVuFM13gBGFsTUhPm/8zqGGt2zM7Nmz5eijj9b3ZGRkyLRp02TTpk0N9qmoqJBrrrlGveyJiYly1llnSU7O/ypInYGOMnfffbd07txZ4uLiZNKkSbJly5YG++Tn58v555+vZdgpKSly2WWXMafUBzQ3NxGpAsiDwj2AEIqLjpDThnaWLqlxak8++SXzUI6lyJwLRsvvhnXWUF/YoUq+9KQYtU9YUPVMi9dEdbyGc5g9fZi8/6fjAnrcE/GSmDr55JPlySeftD/HOA4knt9zzz1y6qmnenJIEqDGyd0/+E0leFrd5tZZVgArOniEOiXHaPdgrPqwLzxAaICHLsO78soOJYmLZBeUa/dzAFGzJ79MB4uius+E4xAC3J1fpl4wPIan6cKxPbWFAj7vsteWqwCDR8zsA+OI0CD2xTniuRF81u8ATxUEGIQYvjPEmicJ3835IxAoSeVtbWMWLVqkQunHH3+UBQsWSHV1tR67tLS+qSu48cYb5ZNPPpF3331X90chzfTp0xs97iOPPCJPP/205ocuW7ZMEhISZPLkySrMDBBS69at08/99NNPZfHixXLllVc2+7cgbYt1hJPxRi/ckKupBEgF2JKLZpt16vWGrcA+EE8QTSN7pMgFx/bUhRTsImwFqn7PG9PDnmpAghOPmnZidQjDgbdiNYb8Kdynp6erwcAKMJBgk0Hv45iE7U5TStPjyTTWNPv+5f01atBQBYM8JhNShHiA4EE/l77pCSqaCitqdIUA4wYDhn2nPfu95jsM756iK0JrA07T2gCGzhzzX0t3qTCLjAjTxnwQWB+uztRQIJLR4QmDwILBRa4VEuRNYjpWq+hH1SGpvpMxQoEwqNjXk4acjeVNOYYg/aXppzeup9ayMfv379f3QjSdcMIJeo4dOnSQt99+W84++2zdZ+PGjXLkkUfK0qVL5dhjjz3sGDinLl26yM033yy33HKLbsNxOnbsKK+99pqcc845smHDBhk0aJAsX75czx188cUXKgTx3fD+pqBd8n1zYGDs2LLt+Wo70P4AyeWTB3eShJgI+WZjrnrMUT2MFirwPJm2K/5yTRLxz6ad3bp10+Tz//znP3qPFSNc2FiJweVNQoPG/tA75heZ/KOFG3JU2CCM5tghHBV16A81sFOyth8w78FqECE4iBWrUcLrcMEbwYZxDjB27eKj9P34HICEUZMojuMZj5JJNEXYztqvCudYWlktybFRUlhePzIGVTzz12fbB5vOmjJQWyOY+VzYB54yrFYhpExXdXx3x4pFb+VNNTbDL9BpLRsDQwrat2+v9ytXrlRvFcJ0hoEDB0qPHj1ciqkdO3ZIdnZ2g/fASI8ZM0bfAzGFe4T2jJAC2D88PFw9WSjWcQSV0LhZjT9pG5xdS4aEQ9cwbA0mHiDdIK+03lP96NnD5O1lu3VBd6AEvaTCmFgeonjctDMyMlING24kNHH8Q+84X84IHSO2dhwoVeEBcQQDZZpommOhag/lxTMn9beLG4gUhOPgQkcOg2nWaa2kM2G22dOHyt0f1Xcoz8wv10HGGNuAfZAgjvO7+s2Vsiu/TEWRadC5JadYjn/4a3lg2hCZMCBDxvRJ0/yriUdm6DlDIOF7oJM6zr+iulbbLkAwwcjiM3G+EG/I0TJeLmcJ+s2phIQwhFjD4GZnIqmxGX7BgLdtDPKwbrjhBjnuuONkyJAhug2iCIU0ED5W4GXCa84w27GPq/fg3tF7hu8DEefquMjvuvfee1vwDUlTuLr+rK1azLQCADtR37h3h7SLi5CK6vpmnbAH6E130zu/2OfrtYuNkt4dEphYHqJ4lDP1+uuvy7x58+zP//znP6sxGjdunPaHIaGBY76UNRkdhgpiybQNAHickRQr8VEROpTY5PcY0TC6R6oKFAglzL9Sl7r+EbRpSfLby3bZjw8hhUo6CBmTKwRRNapnqmQWlGuYEL1eTHdy7ANPFIQZmnBiOwQdPF5Lt+VL5sFyHREhh7xcCBFCnJgkdoDcB4T9uqbE6TlCmCH8h89EUir6YpnfwXw3PEaHdRhoY8jdTdjHd4R4w+Bm4JgT1dKmn/5Ma9gY5E6tXbtW5s6dK/7IrFmz1HNmbnv27PH1KQUdsAHwJOHeirmWzABzNOE0C66SivpFV25RlZRX10hMZJh2M8cImYJDeZoJ0REyZWhnTQnAMYIld5G0sph68MEH7a52uLP/8Y9/aEIm8hmQzElCk6aS0SF2UCl3ZJdkDZ8ZgQHRsG5fkSzeckD3g0BasfOg3sPLA+9SfmmlerQQSoNhQ74TKukQEoTxQl4DjoNSZPRwiYkMlwGdkuy9pLAPBNS0kV212g4rS3i64PGKiQpXYWU6EVsT4GFk8Rpyn+CNgkhDNSBCjiiXRh8Z5FIhVGjaIVjFkumwjpWuWRG7W6FnrRb0VtVkoOBtG3PttddqEvg333yjIURDp06dpKqqSgoKChrsj2o+vOYMs92x4s/6Htzn5taLa2tHd1T4uTpuTEyM5nJYb8S7WNseNPi3O7TgwrU5ukd7ne357oq98vPug5IYG6niqWO7GA3jdUuN14VaRJhIZLhI+8RomTSoo6zJrG+T4nidBltxCPFimA8rpn79+unjDz/8UBM3UaUC9/mJJ57oySFJEIT5rBV5rsJY2AZvD7w6qI6BCIJYwCBhCCC8FwIJwgn32B/hN3iN4BlCnhIq5eDZwsT24/ula1L41xtzZFdeua4QB3ZK0vfGx0Q4DYeh0g/5XDCo8CrBcEIMYWo7vg+8ZNiGsJ0Zjgwcc580ZJhXdsjpXw+EmskRs4pIa88ad8H7EJ4EzrquBzPesjFIFr/uuuvkgw8+kG+//VZ69+7d4PXRo0dLVFSULFy4UFsiALROwHSHsWPrf3tHcAwIIrxnxIgR9vwm5EJdffXV+hzvhUBDThY+A3z99dcaakRuFfENWFxhceR4HRlbZvpJoUoY1ywWbgD95/JLq/Xa7puRKNlFlVItdVJVY5ODpVXaN+r4/ul6/TvmRwbCxAHiIzGFXix5eXmapDl//ny56aabdHtsbKyUl5d74bRIIOAs6dkdwwFBY0SM7ZBoeO/qcXYRBs9QfdVcjVbyoSEe8pRQeYcQHLxEW3JL9P2Yk4UZWaYtArxY6PtiPQ8jboy4M9LHJK6bHAgjmnKLKvXYEHRrMusTlq3d2g3mcxAOMI1AYait39t0WMexTbWgJ4Y1GHOi2sLGILSHSr2PPvpIe02ZfCUkjMPzhXsktuP4yGeCNwjiC2LImnyOpHTkNCFxHG0akHt1//33S//+/VVc3XXXXVqhhz5WANWAGLmFiRBon4Akd3jHkJzuTiUf8Q6mctfkVprrCF4iY1uGdUvRsD5Ap3MIKYDFXXVNncZvatGCpUZ0Fh/sE9qxpCXGSHFFtZRX12neJdIB8BmO/aOCrTiEeFFMYRbf5ZdfLiNHjpTNmzfb+76gpwq6oJPQwNkfeHcNB0SMqXQzSeVmlAPExzb0dMkq0j9cyE2A4DFN70wlHsJraLb5y6Gp7HgdA0QBjovjIOcB98AYUewHT5RpqgkBBIFjzgfhRdzDwKLbsXWMjatSaqxgsTo1gszV79HWhtUbo398gbdszJw5c/Te0Zv16quvysUXX6yPn3jiCa2yg2cK1XRoyfDcc8812B/eKlMJaHK40KsK3jJ4oI4//nhtfQCxZ3jrrbdUQE2cONF+fPSmIm2Hya00UwqMuOqUHKseqJpam2zfX6J5ibArEeEiTyzYohMVju7VXuavz9GCFtgZGA7YFzTnRA7nQ9OHygerMtXLDc+Vqx5DobYQClU86jMF43HnnXeqKx5ubazAABrqoTLmjjvukEAiFPu5+OKPrLPPNJ4a5ELB0GE0THkVqgDDtLJvaNdkNVIQOtYqOet7kVAO7xRAmO+KE+qb4+G1sX3S7KXNeA6vE1ocoDIPniVrhR32QbgRfaJG9khV44vPQAI58p5gbB3P2+Q/mQqgU4Z08ivD6YteN964noLNxnhCKNolb9sZx6rf6c99r96o9gnRUlNbpyIoNSFaK/POHNVVUwhQjJIUGyl/mzpYHv5ikyaj7z1YJtU1Nu2EHhkeJjV1Ns2RRLoBbA8mJ7xx2ZiAWrCEGkX+2GcKVTVICHWEZb2Bgzfj+O4KM/OZZoCo8UYZz052YYUmj48/ooOkJURryM7kIGBqOwSLaY5pxI/5fHQ4BxjbkBofpavFfh0S7a0ZzGdHR4Sr+ELLAxzPCCT8BsilgierXVy0zveb/MQi9YxFhYfbE8jNb+VYSg2jjfPyN1d+oIYYaGOIt2ybyTsEJh9z3KEiEtgHXPOoxMX9UT1TpaCsSlLjI+XBzzbq1ARMXeiRGie7D5ZrukFcdKSKKqQAQEhBWCEhnUIqtHFbTK1Zs0Z7s8BdjceNMWzYMLeOiU7Gjz76qCZpZmVlaZKoyTkAcJphJfrSSy/pShXJp3DbI0/BgOoY5DhgHIRxpT/11FOac0Ha5o+su8LMhN6wCjRT2SGOTPjt87XZUlVTq5V98PAs2bJfV4roMoxcBggWhOBOOKJDg8+DRwshNuQ5FZRVqhHEfztIcO+cEtsgIRzngNAdkszh/p/xz2V6PHi9YFjrBx3HyMKNufYk1CFdk7XjOd5rFY74bHh+UEoNw2z1XPkLgRRiaA0bQ0IPV7atvpoOTYHrq3xhB2CHIKwwiw8LMlQUn3xo0gJsD8QU7EBZdZ2cPbqb2pkZY3vK3OV7NFQIG4OO6GjqS0Ibt8UUqlZMIzo8xordGiE0z3HvbECpM5BzMHz4cLn00kudzsIy86/Qc8YkeSKfYf369fbcBDT0gxAzc7cuueQSzWNA0ilpmz+y7goz45VCryd0OkfHc2suElaFWCFGhmG1WCullbXqUkeIDSvK+euytTUBvFQmqRvvh8DakFUk0ZEREhsVKclxUVJUjg7mkXoMk/xtPFQwpOgLhQZ8m3NKtJuxGUwM4YWKHhjJxOhI6dY+XkONWIWa87cKQcdKwVDOc2oprWFjSOjhyrbhmkIOFDzTJheyqKJaRRMEEUbBID8K9unJQw15b35ntdqHY3q3t1csYwGF92Jk1YXH9rQXspDQxm0xhREKmGFlHnuDKVOm6M0ZMJoYdIq8ialTp+q2N954Q7sMo1TazL9C0qd1/tUzzzyjyaqPPfYYq2baAHf+8FtzkgDEEFod5JVU2ENteH3JlgNSa7NJ+8QYbWsAjxTCdmia1zFZ5MjOydptGP2ezCBSHBsVfWiY1j01TvOsYAzRM+qx+Zu1wR72Q76E1YOGCh64+yPCwzR/yioE4cJHkikaeqKrOtg+b73dq2XtU9Manp9QLaVuDRtDQhur7cFj9IlCz6hP12RpMjnEU90hvZ4YC0EVoZ4nM3YKeVDmekTRiylSAaG22CFeElM9e/Z0+ri1aK35V4AzsLw3yBgenuyiCrunxpm4wn7IYUJeFLxCEFAoO0Z+lMlFgoFCKK+ypla9RTBoMFyY1r52X6FsO1Aq54/poR6rNXsLVAzhM9DrCV6u1IQYqa6rk3lrsrTJHtzw5jMg3kxDPpwnzgOVehBrsKPIy8I5IpkUI23QtA+u/cKyCrnijRVy2rDOdvHmrE+N1WCbHjMtMbKBmufUUtraxpDgw9H+mAkE/125V/OdME2hqtYmeaWVmoieHBMpBRX1vaQOlta3V/nH11vl7o/W6XWO96HPHUDxygc/16cImOIVQlrUAR1s27ZNc5UgXnC7/vrrdZu3aK35VwD9YiDMzK179+5eO+9QwQwyhsiBt8h4apx16rb2dYJoQQgN/VpgpLASNMIMwgqhNwgXVNHAK4N8JXiK+qYnqCsdJcxb95doHyp8BkRX53ZxMqJHimzLrU8GhUfJJKojTHjdv1fJJ79k2rug47zhYYIwgmDDY2yDRwshRXjForB8DRM1wHiP6bwOHEe4mO/srPuxJwTzmBh/sjEksHCnk7h1fBNyKWFLoiMipLi8WhAxRk5k+4QoiY2MkPPGdNe2KxlJMWoHuqbU24ut+0ulqKK+HUpWQbk8tXCLXo+wC7B1aNkCe0VIi8XUl19+KYMGDZKffvpJE0Fxgydo8ODBmrvk73AGlmcGzPoYKz+UBk8b0UU9RhAmAN4ZGCbjDcK+ZtYd7m0WcYUmnEgah/dp2Y58qaqtlciIMDVo7eIi7bP5kDD60FnDVFxAJGE+XnVtneY6vLF0lwoeeJUw2iEtMVpOGtBB8koq1YUP44fXK2tses4QTAdKKvXeiKD60TJddNQMQo44z7OO6ibnHN1dk06N6Fq6Pc+pUDIjYnBuuDe9szg+wnMC3cYQ7+POSCVce8iTNC0RkFuJlJGy6lopqazWXMriilrpkBQt/1m+Vz3hCPX3SouXogrYn//9ScR2VOnB/pj+dGiBgCrjZvcTIkGPR60Rbr/9dp2P9dBDDx22/bbbbtOGey3FOv+qc+fO9u14bkY4eDL/yszAwo00L38HfPrLPnV9P3/BaPvcO2tYyyRpPzZ/k2zfX6ojWc4b09OeMI6QGkRQfkmlJqCjkmbbflTdxcnq3TY1bsmxEbK/uEoTyyG2zHHhacI9xsgs3rJfEg4ljEIw1dbW6SoTzfaQLP7Npv362eghg3wpDCAF32/N0xwJuPjNNuugZmBEm7uhN2veFD7L0y7npG1tDAksGrsGTXgP3mMsfFB9i2v4rWW7ZMH6eo80ChfQ0RwjfXKKRP44obcKKhS+YGFXXl0rvdISZOeBEqmosUltnU2r9GZOOkKPjcXUsX3TDhsXRYjHYgqJ3++8885h21GVh6Rxb8D5V77JMXDs7A1hhMaX5jmEFJpaQuhg1YbQHHDsv/TV+hzNV4JoWbylvhEm8o8gdmIjw6Wipk69R1pajATv/aVanpxTVGk/DzNjDyE9CDEj7Pp2SJSi8hp1cVVUoy9UlFbuoerGjIxAH6nPMGML4yA0tJepq8m0hChNQL1qQn3uFgyuO2NerIKpqaT7UM158iZtYWNIYNFYsQeSw1FlO7JHitosXN+4ntHKALPzcO1HoQrUJrqYqq2qkbeX7VGv9Q/b8nTGJ2xQVmG59ExPlG25xRIZHq5jr0wlMGDSOfGqmELFzerVqxv0ewLY5pjD1BglJSWydevWBknnOAZynjCTi/OvWh/HyjFHTxR6PSGPCMCowCMF93mf9ERZuTtfX7OKBmPwIH7Mfst2HJCYyAipqKrVwcA90+KlW1yULNq0X98DzzpCe11S4jTp8+oJfXWgsWllsCazrsHwUCSAwo2PeXzoZIyQIOZimcRw04/q1KGdZU9+mYb04OHCOcED9uz5ow8bM+FMALkSTU1V2wVSbyd/xVs2hgQ35hpFYQrA4g1935BzCc/S2L5puh0VuxBNsA26qEqMkTG92+tIGRSwwE6gOScY3SNFTuif3qDlAa9p0ipiCsM70ctp+/btMm7cON32/fffy8MPP2wfSOoOK1askJNOOsn+3Lz3oosuktdee43zr9qApmbHITwHA2RaGMDzA/HhTGiYRHJjhP63X4y9rQBeg8l69fud9ryDiPBwzU/YmVcqe/PL5Yt12SpGcCy47eFqR8gOzxFaRD7W7e//qsYQz60VdJqj9cYKyS2uT1JF1c3szzZoThYGJ5uqPHikzJgJV8bSlWii56n18ZaNIcELciox/gl96WKjI9WGIKkcHieMlSoor1ZbAw867MSZI7vK1W/9rGNkkHRu8jwhsmBnaurqtLUK0hK8UZVLQguPZvOZHlCPP/647Nu3T7dhEvqtt96qFTeITQcSnIHlGogTV3PnHAUVQmVv/rhLm+KdO6bHYXlH1vdd9MpPOmm9W2qcJn0WV9RIXGSY7Cmo0ARzrCjfWrZbQ4IxURG62sR/VecfW18yD5c+hhU7fgbO4fXvd0pJVY16pnqnJ6gna31WkY6XMQmlyINoylB60jyzpQ03g6Fhpzeup2CzMZ5Au9T4dXLWnB8kt6hcG/VCIFXW1ml/OITxosPDJDEuSsdCbckt0XxL2K/3Vu5VjzZSAy4a10tFlLEzR3RKsve8a+t5liTwryePqvlgyJAcunfvXj0x3PB45syZIWHkQgn8QYeBgSFyzAFyrK7B63CnozVBY/8VwNOFlgh/OLqHnDy4k87kwyiH8pr6tgboIQWFr0NFI8L1tcrq+twnHBcufXiYjGvfCs4BlXi/H91dXfdImEflHwQajotwH7qsu9O+wJMWBe5UHLXm+4MF2pjQxd0WCBBAGclx8sy5I2XayG6SlhBjL0iprLNpw15U96JdCgpUMMYK/ePio8LVzsDDjSpg9KPD+BgszHBcbLc25ySkVftMGZKSkvRGAsMINWc/g3UUi/U9piWAVWQhYXPy4I52Nzw+B/cIqWGQsBn/8sueAhUNyGfC8GFMaUfyKOZioSmnTnEf2VWPD30eExWuHdDrZ+jVz8zDvbPvgteQtI6KQczWgnHF/L2Zk/qrNwttEJzN7XI8jrvbrDj7TZpDS98fjNDGhBbutkDAOBf0qkN+Ja5tXNe1yDBHY+aqWm2BgPA+cqdyiit15BTar1TV1g83RqoAWiUM6JSklb2wUehRZZ2wQEir5kyhPcEtt9wiCxcu1NYEjpFCzs3yDe6OIfFkXAneg5YGyKEyA32tIsvc43Ws6mCMMObFGCVU1SCnAcB7heTvgvIqLVvGfz4QTEs275d28dHqudq+v0SGdU/RZHQII2toDsdHuO7bTfu1gm/J5gPyxdosOb5/B3tTToylgcsf/WTg4jeJ6RB2poKvqd/E3W1WWpqoykTXemhjQhd3chI/XJ2p1XdoqIl5ncZTHR0VoS0O8BcJHm0IKYC77KJKbeAJW4O+U+HhYVoMA3tmmgnDNsHmQFDRM0VaXUxdfPHFsnv3bh08jB5QDO35B+4mRnuSQI19IZSQuwRBYRUXWM3hNYiUeqNWo5V1U0d0VeGBNglwr0M0wa0OgwUxBLGDnAWMeAgPrzd4cNP3zUhQbxXaKWCGH8a+oFGedb4fZvbB6/Tdlvr+MBhBg95UZ47qqitUMyYGfWYg5EwTP4g4eMbQq8okyjuWPjf2OzH5vG2gjQldXC0orPmEJo0AtgTjrODJxiB0iKf6uZrhak+wfjt4qH0LvFDY3jcjUYZ1bac2BTYCx4Tdwtw+eNbh6TKLQBTcENJqCehwuy9ZssTePDPQCbVET09nyeF96OdixJKphrEmqAOTvGnaI6CTODqVQzgdKK2SzsmxKoQykmNke26JNttEs7y9B8ukqqZWRvVsr8IMlTr1/dLDtLEeqm6QsI6VaE2tTZt9HtcvXcUSQnnoTmxmZpnviOTzdfuK1DuFkABWnH3SEzRvCqAzO5NM/e96CjYb4wmhZpeawvSCM2Fwk3aACQqp8VGybX/9OClU9yXFRWn4Dtf6+6sy1V4g6RxeKaQP3HFojqixXdbWKiDQi0BI219PHnmmMMvOAw1G/AQTqoI3CSsw0FRDSrMdK0BMXMfoFniZIF5MmwEYOYgWM0wYHiBU0YH3/3Sc5kwhBIfyY3imureP1xXmvoIKTUjvlByrzTxxPJwfEkzhmkf7lyVbDqhgwntQoYemnDsPlGrYDqtJnBfyHsw5m++obRWKKzXJFCtO064BhhP/BTM3yT+hjSGOODbOhM36y/tr1N7AI4U0AoT36z1SYWpPSqvqu5qjj92tkwfY+9cBhPY2ZRVLbHSEetGtXigusEibJKCjZBljHXbu3OnJ20kr0JykchgTdDXHqg1iA8LHvM+a/GmOCcGCFRxyppDQidUfZt1BzJj9jVvc5DRh9AK6l4/onmJvX4AuwzB4SARF886l2/JkTJ80uXBsT5k5sb8mlKIpKAQZzgkVN+j9AoOI4+NxQnSkGjr0iYHhzCupkm825moiOwSdSXo3njHsa45pQoQ4R6xMzXmZ78h5ev4DbQxxt2UIvNlIP0iMjZSYiDDNhSqvqpEv12XLvDX7ZGtusXqx0b/OejzYH7RQQRd0JpsTn3im/vCHP0hZWZn07dtX4uPjJSoqqsHrmI1H2hZ3k8qNUYJXBjPsTLI4PDV4n3X1Z/VgwVglREdqIjjCbVWYY5WeoAIFyaDWkTO4xzHhdUJyJ4BQQcgNn59dKDr+JSU+WnOeUMX33dYDdkEGIYV+MBhHg87pvdJiNZkULQ4wuR3CB16xkwZmSFZBhY6hQRsEnCMEldXbhs/DNrjyneVANOalI76DNiY0aWzqAHIzYUMQvoPdgjdpY3axpgEgUoKcqOP6pmkqAXrKQUBtyinRPExMWUA6AIpiDFlFFbq4g6ebHmriEzHF2Vj+h7uJ0UY8QPwY7411VIs1+dNsM4IJg4lhvJDgbfILTAUf9jG5Ssirwr6Yvff52mx7vhOGGsOYIRm9sKJGK2qQywAhhCafJhcC7y+qgCfKJokxYSrgEOaD0UPCOLxkCB+OiEyRT647vkHndSSUWr8Pzg8iy3HsjePv5vg7EN9CGxOaNDZ1AHbGCCLkP2FBBQ830ga25hSrXflpZ7706ZCoC71Zpx4p0579XqcnYOwU0gCs17hZ8CH3k7lRxCcJ6MFGMCd6NjbI2JkBcfU6PEtYGUKUmJwmx2RNAKGzJadEEz2xIoR3CYYMOQ3o8YSquk9+2ac5DBBHyJ2Ct+j8MT1VsCG5HSvNn3cflG25Jdp/CoYRzTYnHpmhK9Jd+WXy695Cue2UAbIzr0yNohF0Jukd54jjBkNH8UAjmK+ntiTYfsem8jGNDcFiyipyTJ86FLI8+NlGKSyvkt7piWpDMg+WS0a7WNmVVyoV1XXSr0OC/G54fR8563ut8z5pB0KTIn9MQCeBu9Jrqo+RO/PozD4IxxkPFY6LBHP0aumcEqueL+RIoXrOasgA8pccV4QQax/8nClFFfWjHlBxc3z/dN1v6qEWB+grhfwGiDTkUz02f7O2TRjdo729Y7F1gLEZDUEDSojvcWVbrNtxrUIAaVrBodQDc01jQYVFWWR4uBasoCAlIiJMvVVI/kXqwJOH5ocazCxRUwno+NmEeAuKqSCnOX2RsEKEl8fkPzmuJK3hPwgpJHBmFpRrHgNc6HC7w9ihR5Rpm3BsnzSd0G7AcRCqw3HhpTItGnA8iLC6gzbtHWOEljmHVbsLdOxMclxk/biaMNGVKTxlyKNyNsDYmfF2HMbcHO8cIcT7tgjXP2yIGWaO/EZc19gOETRlSCdZv69IrhjfWzZll+iEBFT1JkRHqjcbREaEydtXHKsLNbzH8dplfzjS2lBMBSHORJCpzGtMIMCQwTuErsBTR9Q3uYRhA+YYRvwgbwFCCiLGVNJhpQihgzwGHAsrS4gZGEqsKtHOAMdAyTJyqLAdPaNwj9Ad+k+dPbqbXYjhfE0IDwnooKrGJkXVVTpeBrkSJsEdninz3bASBTCsuUWVenzM2zLN+DAk2WB9X0s6xBNCGse6ILPaKFxrsA+4IRUA/epwvaLPHNqjoF0K7ATyL7E4yyqsUFuCRPQOidHalBPz+eCFMukI1kkNjp9NSGtAMRWEWLuSG4PijkCAtwZhNCOO4DlCzhPEk2lwB/c7xAn26ZoSp8OD4Rkyid8wcuh4DtGC8BzOAeIJhhKeLIx/Qc8nGEmE68b2TVOvFBLb0ckY52A6EuO9JlEexhUhw+S4KE1G75ue0MBYuhrtsv1AiSaro5N6SnyUHs90SEcIsamQJiHE+ziG9rDowdgo2BGIounPfS/7CsolPjpS7p82WOYu36PeZiyQjP1B6xVYLVQlow3CwM7J9kR1LAKtkxoI8Ssx1aNHDznjjDP09pvf/EYiI6nF/BFnBsUdgYCwFzB5ShBUEE+mj5SZXQUjBnEEzxDEikn2hqG7GqvJqAj1+Jj3YTsEzOItB9TDFBURpqMcqtE36lAnddNE0wicYV3rJ7dbm+lNGJDR7BCcCfs5S0A1zTsdfxOuYn0HbUxoNuDENIQ1mXX29iWwMfB+R0eEaZEJFk5PfbVZF13oSffluhwVX6jg27CvSPOmYFNwvVtzJQnxy2q+RYsWyccff6y3/fv3y+TJk1VYnXbaaZKSkiKBSrBVzYDmiA53qmye+mqL5idg5YgRLNrPqaJGtu4v0cacJskTlXoI943p3V7ioutFFcQSKnTQOwoz9dAiAStOeLSMgLMaP6tnyjTebK3vTvzregpWG+MJwWiXXOFY0QfhBI8TZuhhwDnSBl77YafU2WxyZKdkFVhlVTXSPyNR26jAo47cKrMoc5UPSUKXola+nprVAX3ChAny+OOPy5YtW+T777/XuVnPPPOMdOrUST1V6A2zfft2r58kaT7Gu+Iojpx1+XbW9Rz31mNA+EAcYTX40epMFTsI8Q3qnCx90hN1fxhCeKHQXHP++hzNTTJKHX2nKqtrtWs5wnlrMgt0yjtCh7M/2yBvL9utBtMA0Wb6TjV27s6wfh8SWNDGhCZWWwMh9c6KPbIxq0jtB7bhHguzjKRYLT6BkMLYGKQNPDR9qFw0rpcKKYyrgt3htU8CYpwMGDx4sMyaNUt+/PFHHStz7rnnysKFC2XIkCF6mzdvnnfPlLQYR5FhBIrpz2TaHiDfCuE6eJ+MeMFKD6tAeJ1g2LD/zEn9dS7e/PXZuj+Aix1tDRAOhHCCYMIxS6tqNKcBr8EVj9ylbzblyqrdB3VEDbBZzhE3Y1xNvhbOy5WRtIotfA+rECOBCW1MaIJQXk2d6G3B+hy1Q1hcnTW6m/xuWGe55eQBahfQ1fxgaZXmUsJWwAOO6x7D0M3oKEL8XkxZgWfqiiuukE8++UQOHDgg9913n8TE/K8cnvgHjiLDUbgAHS0THakJntYVnq4YzxmplTYQVkboIMcJAgvVeNjXzL1DjyisFOHJQvI4jonqG7wXORF4LSE6QjokxWrzTYyEGd8vXZPRUbFjyqKN+9+US7sSSFah6MwrRwIb2pjApjHPMrahR51ZvKHNCmZvovVJcUWNvPXjLrnijRXa0BczP5H7+OE1x8n/HdVdhltmf5rcK1T+cdYeaWs8yiCfMWOGnHTSSXLCCSfofD4rmNV35plneuv8iBdxTKx2TEqHEPlmY46UVdVpw02E9SBu0ETPdDx3zF8ybQzgVbKG5CCyeraPV6GFlaMpfTbnYJ3ft3ZfkSa6o+IOlX4IFQLkTDmepyuBxAq84II2JrhwVU1svM6YmoA5eQD/P+nIDLUp6C+H5HL0mPtm0345bVhnux2YPX3YYZ9DO0ACyjMVHR0ts2fPlv79+0v37t3lggsukJdffllzqYj/0lTeEQwRhFRucYV6pmCwsBLEitFZDpLxGqHiDvkMBmzD+0b3TFVPFlaOqOZDDxmrZwkibfGW/Wo84XWCkIL4QtUgwoPNCdXRGxVc0MYEn20x17N1X+RJ4nrHAgrhuQPFlfLWMqQaZKuIgneqXWykerLBO8vrc6lcQTtAAsozBeEEMjMzZfHixVqBg8T0P/7xj9K5c2fZu3evt8+TuFkF01gVG15Dtd1/V+6V5y8YbQ/xwUNkmleeOKCDhvcQknM2BNj6eWa1CQ8SjmHGy2B/PAfmXGAsrWLMGroz3i1sQxfkrzbkasK7WcFyFEToQRsTWDTWx86xuhbX8xdrs9Vu9ElPkPCwMB0Pg/AcFnFR4WFSWlmrszkjI8OlT0ai2qNPfslSuwIP9ne3/cZH35QQ57SoUVRqaqqkpaXpPcqW0XeqQ4cOLTkkaYERA9ZGeI7CCo8hpNCM8/b319S/wSbqBTIhNZNr5Ng93fHzIJzghq9vgtlVq/E+XZOlRhGYPlNmvpajsbUKNXOe5rMyDn2+M9c92x6EFrQxgYGr8Bqu18teWy7bD5TKzgOlOrQc1zzsDUL7IgmaL2n6wCG/8rp/r1LDFBMVod6qgZ2StE3CuH5p8uO2PLnlZDbiJEEipv7yl7/It99+K6tWrZIjjzxSy5lvv/12zaGC8SO+NWJWr5F1pQhxBI+U6RGFqhmE1o7tW5/w7TiDz1W3YmDtA4WEcjTvREPOiPAYl0LIem8+x9Hr5Pj5zla1HPUS/NDGBBauGt3i2t22v1T7QKFqF33pgGmsiesbYb5Hv9yk0xCWbP3/9s4DOopy7eNPCCSEhN6LoUlVmqK5dBU+AbkCot4rlxIBUUEBRUGQJtIEjiAgRkEF75VyQJrKBZUiiCBNQhGkhgihftQELglJ5jv/xzv7zS67m002Ibub/++cZXdm3pl53wnzzjNP/V8pXThEklMNaVmjlApRprYbL3DIio4cU4T4ddJOk3z58qkG6vXXX5cuXbpIzZr+/abg68nxsqKNsdbRM0100EiZRYCBaqcMkfeerm/LMu54Liwj4Sb8msziw86Ob5Z7sWYaBxn1O6OxmcKTmbyTmqm8cT8F2hwTiPOSMxznC2DNXO44N0BbtXr/WTX1BQeJRJYMV+02IvpM1wDrXMRkvMRX76csaaagkYKfFLRT8JWCsyi0U4888oh+8uLEl5M40zJlNLE40/xAkxR76qoKVMhYbgpCZgkHgPbwmcLxES2DiRHLcB63nsfZ8fG2adbvA2ZRYXwjJYKz/mZUusWVRosENpxj/BPc42YhcdPEjwzmWI88cygJhcATFDGG8JSSZkjh0PySPzifzhMnL92QIgUL2NK1WO913vvEl8mSMNWgQQP9DBw4UJf37t0r06dPl1deeUXS09MlLS0tu/uZp3FmyvOkcDEw/RPMxJxWzZSz4yIU+UZKmn6DP4OV///bUYizHsOMzEHCTnPZ3NfT/jo7R0YOrZk5FvEPOMf4J9aUJ9BWo2AxHMtvpfzpl4kXrtGrDsjZa/+RsAL5pWyREKlcspDOSShXdfryTdl7+pruS0jAC1OwDOLNEZopfLZs2aIqtPr166uGimQvVoHCal4DGaUOWLg9XvafvqbfE7vUV42U43GsanmEIqNcA/yf0AbO5Sg4im+AfcxIHEyM1r452ovNAsbOfKjckZHglRnBLDNtie/AOcY/wXxgaqFnrD8q+05f08LmJSNC5WLinzml8LKFtAfIJQWHdPNFB9rx5+Zsk8s3kjVib1m/pnwBIoEtTJUoUUKSkpL07RHCE7Kft2jRIs8VIs0NMiscwFchOTVdv12lNTh6IUn+k/KnNhH+U1DBF8yfz5bKAG+apikQ+5qRONhu7QMmUajwrdusQqCnZJR4LzOJ+ZjEzz/hHOOf4D5HaSlUREDiX4C0Bt2iKqtG6tDZRDlx8YbmnYP5z1FbDA2Vme0cmm1UUyAkYJN2fvnll3Lp0iXZtWuX+kw9+eSTFKTuEpmtOwdHzsZViuu3teSKeRxMXshUDqdPaJYgMOGN8K8N/kyw6ZhsD/tin/b3/5mJ2IpZcsbZtswUH7Ym3nOWDDAzifmYxM8/ya45BnnwsG+FChUkKChIVq5cabf9/Pnz8vzzz+t2VG9o165dhsmHb9++Le+++65WfyhYsKC+VK5du9auzTvvvKPns35q164tgYj1HsX9jVxReDlDSZjl/Zup7yXmFdTxRIHiS0nJmirBGsxi7g+n8/JFC0q+fEF3aLoJCTjNVIcOHbK/J8QjMuuEiUnMNO2ZZVocfZFiuj9ol/jT8RyOyTPN5JyZ6V9WNUQ00+VNsmuOuXHjhgo7vXv31qhAR1Ni586dpUCBArJq1SqN8Jk2bZq0adNGDh48KOHh4U6POXLkSBX25s6dqwLSd999pyW0tm7dKo0aNbIr1Lxu3TrbMvLw+TvOfBDNe9T0lfqfumU1z5wZzWfuh22P1S6jpj9E/brKlXcp6ZakpKZrrU5C/AX/v7uJ11iTc0JgcuWsbTqzY9JEuRjgqWCX1UgcmumIN7Rv314/zoAG6pdffpEDBw6o4ANiYmK0qPKiRYvkhRdecLrfv/71LxkxYoQ88cQTutyvXz8VmqBBg5BlFZ5wLH8io4ANM7oXc4A1kAXLv8Zf0XJQKCHlLFcd5gwIWUXC8msaFUT3OQaxACQWhmsC2iD6j5CANfMR36/C7mxbRqY2Z9utx7KWnsmMqdEbaKYjOUVycrJ+w1RnzW8VGhqqQTXu9rPuA8LCwu7YB8IazIfVqlWTbt26yR9/ZGzizm0ymiMco3vNexRzwo2UVClWqIDdvGDOH4jOQxtopFBCCqWkzHNY73EzsXCjyGI2YY0Qf4CaKT/FMSu59W3SlWnMmZbH+iaaUQoG63amGSD+Dkx0kZGRMnz4cPnkk0/UrIcUL6gtevbsWZf7tW3bVs2BqPgAv6n169fL8uXL7VLCREVFyfz586VWrVp6rLFjx2qQDrRghQsXdimkmQIeQIT03SYjTbBjhK41Ktg085lgG6L3IDhtPnJRfakQ4Qf/TaRBgLuA+cJnnb+srgmE+AsUpvwU66Tnqu6dMwdxd6ViHJPkOZ4nu5LmMfcT8QXgKwUhqE+fPho9GBwcrP5SMAu6KwwxY8YMjWCGMAbHcghUvXr1ks8//9zWxmpaRMoYCFeVK1eWJUuW6PmcMWnSJBW6cpOM7nHH7VZ/KTOS11qPE+kQbqakiyGGFi+Ov3RT21trdwKmLyH+Ds18fopVNe4Y4eepaQxCDd4O/1KtpMs30Zwws2Umso+QnOTBBx+U2NhYuXr1qmqQEJWHKEKY5lyBMjeICoRze3x8vPz+++8SERHhdh9EIqIyxLFjx1y2gYYMpS7Mz6lTp8TXMeceFEtHwt7wkP/XWmE9auwl306TS0kpUqd8YenyQEXbPqa7gPU3If4KhakAIKsCj+kUamYoz0wuqLuZ3oGQnAY1uyAkwc8J6Rg6deqU4T7wm6pYsaKkpqbKsmXL3O6DvHzHjx+X8uXLu2wDXy1EFFo/vu6faQLNE+rrIf2BOQ/9qXkK1sScTzWqqFHDyBuF7aY2yyxnZf4mxF+hmS8PYwoz1onMWzOeKxNeRiViCMkJIMRYtUFxcXGqiYJZD/5SS5cuVSEKv/fv3y+DBg3SdAmPP/64bZ+ePXuq0AQzHNi+fbskJCRIw4YN9Rs5pVBGa+jQobZ93nzzTc1vBdPemTNnZMyYMWpG7Nq1q9/9od2lJzG31a9YTKqVDpfO/62UYGq9W9Qorcl8HV/0nLki8OWK+DMUpgIQZwKNs3XWlAhQs2fHZOaqKLO1ALJ1Qqb/FMlJoGV69NFHbcuDBw/W7+joaHUQh2kP65C8E1ojCE6jRo2yOwai8BDlZ3Lr1i3NNXXixAk17yFFAtIlWJOKwokdghNMhhDWmjdvrmkY8NufyMgVwPpCZq2UYGq9oYF2V4jdhC9XxN8JMtx5WuYREDUDNT/8FHxFte4NZnJNTGSOCTet63ICZ8IRzo16fgibNuv5maDwMvLWdGxYgaHQAUKg3U95+Tp6Om843vfWKD/sn5kIYL5gEX+8n6iZCkDcqdBzWpXuzITnLqWCs7w1hJCcxxOhxUzICe3UpsMXNLUBau2ZPpqI4Bu2bJ8WR0fZGEettymMAU9f4lj1gPgjFKYCEGcCTWb9lDDRotAo1JbOfB687Y+rvDWEkLuDJ0KLmZAT7dYcOCfnrt3SYsVx/3tDtczQLP925rrOEyhkjFp8VrLyEseqB8QfoTBFXE60q2LP6G9MpjllGqQzOiG5g6dCi7kdWcyhmULdPDODObKU956/UxJv3Zba5Qpny/3NOYH4IxSmAoSs+Bm42wfroNrHGye1RoQEHp4KLdZ2qJWHeQM1+jA/oHj6NwOa2+YR+juRvAqFqQAhK34G7vbBBIqcMIQQ4jg3WDOYWysnZMVHipBAgMJUgEDfBEJITuBM2+RqvkH03i//TYlASF6CwlSAQN8EQkhO4EyD7TjfmALXDYd8U4TkFShMEUII8UrrbQpc9SoWZZ09kidhbb5srE9FCCGBNn95UvvTWryYdfZIXoSaKQ9hIjlCSKDPX1mNxrOWpmLeOJIXoTDlIUwkRwgJ9PkLghRKP20+clEeqFw80wl7mSOK5FVo5stGVTchhPjL/OXM9AdTHcx0cRdvaM1MCFeEED8XptLS0rSCe9WqVSUsLEyqV68u48aNE2ttZvwePXq0VnxHmzZt2sjRo0dztd+EEOLLQIAatHiPaqGsAhNMgfB7qlo6XIuPM2EvIQFg5ps8ebLExMTIF198Iffdd5/s2rVLevXqpZWfBw4cqG2mTJkiM2fO1DYQuiB8tW3bVg4ePCgFC1KLRAghjkCAunIzRYoXCnFZEJ1aeEICRJjaunWrdOrUSTp06KDLVapUkUWLFsmOHTtsWqkPPvhARo4cqe3AP//5TylbtqysXLlSnnvuuVztPyGE+IMPFQoWB/238DgzlxMSYGa+pk2byvr16+XIkSO6vHfvXtmyZYu0b99el+Pi4uTcuXNq2jOB1ioqKkq2bdvm8rjJycly/fp1uw8hhORFHypoqeAfhcLm9JEiJAA1U8OGDVNBp3bt2hIcHKw+VBMmTJBu3brpdghSAJooK1g2tzlj0qRJMnbs2DvWU6gixHvM+8jq20h8F2in4HQOzRR9pAgJQGFqyZIlsmDBAlm4cKH6TMXGxsprr70mFSpUkOjo6Cwfd/jw4TJ48GDbckJCgtStW1fuueeebOo5ISQxMVE1xcS3gXZqpENRc0/zTWU1LxUhgYZPC1NDhgxR7ZTp+1SvXj2Jj49XzRKEqXLlyun68+fPazSfCZYbNmzo8rihoaH6MYmIiJBTp05J4cKFJSgI72f+owGAAIi+FylSRPIKeXXc/jJ2aKQgSOGlh+QOWRVyzP2gqULBYuDOh4rJjAnxA2Hq5s2bki+fvVsXzH3p6en6G9F7EKjgV2UKT3jYbN++Xfr16+fxeXCOSpUqib+Ch6qvPlhzkrw6bn8YOzVSuUtWhRxzvybVSmrOqYzMfkxmTIgfCFNPPvmk+khFRkaqmW/Pnj0ybdo06d27t26HFglmv/Hjx0uNGjVsqRHwRty5c+fc7j4hhOQKzoScjLRV2A6NFAQpRPV5otFixnNC/ECYmjVrlgpH/fv3lwsXLqiQ9NJLL2mSTpOhQ4fKjRs35MUXX5SrV69K8+bNZe3atcwxRQjJszgTctxpq8wknldv3pZ295ej/xMhgSRMwYcJeaTwcQW0U++++65+8hrw+xozZoyd/1deIK+OO6+PnXiHO5OcsySedC4nxHOCDMYvE0KIzwH/T/ieXbt2Lcf945wJTqjbB00WfKeYyJP4O9dz+H7yac0UIYSQ3DEL0rmckADJgE4IISRrmiZolvCdHVnSCSHuoTBFCCEBhulszvIwhNwdaOYjhJAAgyY6Qu4u1Ez5OKhHiPQQyKEVFhYm1atXl3HjxtnVPcNvpItAFni0QeHno0ePij+xefNmzSuG9BeI0Fy5cqXddk/GePnyZa3bCOfCYsWKSZ8+fSQpKUn8eey3b9+Wt956S7P/h4eHa5uePXvKmTNnAmLsJGegiY6QuwuFKR9n8uTJEhMTIx9++KEcOnRIl6dMmaI5uEywPHPmTPn44481+zseum3btpVbt7LuL3G3Qa6wBg0ayOzZs51u92SMECZ+++03+eGHH+Tbb79VIQX5x/x57KgC8Ouvv6pAje/ly5fL4cOHpWPHjnbt/HXshBASECA1AvFdOnToYPTu3dtuXZcuXYxu3brp7/T0dKNcuXLG1KlTbduvXr1qhIaGGosWLTL8Efy3XLFihW3ZkzEePHhQ99u5c6etzZo1a4ygoCAjISHB8NexO2PHjh3aLj4+PqDGTuy5du2a/l3xTQjx7fuJmikfp2nTplp78MiRI7q8d+9e2bJli7Rv316X4+Li5Ny5c2r2MkEujaioKNm2bZsEAp6MEd8wbzVu3NjWBu1RdxGarEACeVJgDsR489rYCSHEF6EDuo8zbNgwTTZWu3ZtLfIMHyrUK4RZB0DIAGXLlrXbD8vmNn/HkzHiu0yZMnbb8+fPLyVKlAiY6wBg1oQPVdeuXW2J5/LK2IlzmKmckNyHwpSPs2TJElmwYIEsXLhQiz3HxsZqcWc4IkdHR+d298hdBM7of/vb39QZH350hIC5P52Qr2PPaJHikR3q8qIQkgvQzOfjDBkyRLVTzz33nEZ09ejRQ15//XWZNGmSbi9Xrpx+nz//ZwFTEyyb2/wdT8aIbxTDtpKamqpRboFwHUxBKj4+Xp3MreUQAn3sxD1BDt+EkLsPhSkfB9Fc8H2xAnNfenq6/kbKBDww4VdlArMgfGWaNGkigYAnY8T31atXZffu3bY2GzZs0OsE36pAEKSQCmLdunVSsmRJu+2BPHaSMS+0qCb/iIrUb0JI7kAzn4+D/EPwkYqMjFQz3549e2TatGnSu3dv3Q5HZJj9xo8fLzVq1FDBA2H0MAN27txZ/AXkRDp27Jid0zlMmvD7wdgzGmOdOnWkXbt20rdvX02fAAHk1VdfVY0e2vnr2JFX65lnntG0CEh5AJ850w8K20NCQvx67CRn6uoRQu4yORIjSLKN69evG4MGDTIiIyONggULGtWqVTNGjBhhJCcn26UOGDVqlFG2bFlNF9C6dWvj8OHDfvVX2Lhxo4atOn6io6M9HuOlS5eMrl27GhEREUaRIkWMXr16GYmJiYY/jz0uLs7pNnywn7+PnbiGqREI8Z/7KQj/3G0BjhBCiHtgykYKEKTCsPrIEUJ8736izxQhhBBCiBdQmCKEEEII8QIKU4QQQgghXkBhihBCCCHEC5gagRBCfBAzNgiOs4QQ7zDvo5yKuaMwRQghPkhiYqJ+33PPPbndFUIC6r4qWrRoth+XqREIIcQHQQb7M2fOSOHChTU5r79qAyAMnjp1KiDSOwTaeAJxTNddjAcaKQhSSGTsWFUkO6BmihBCfBBM+JUqVZJAAA+1QHhQB+p4AnFMRZyMJyc0UiZ0QCc+wfPPP+9X5W/c8cgjj2j5G0+ZP3++FCtWLEf7RAghJOegZorIpk2bpHv37qoWzS1mzJiRY46BhBBCSE5CYYrIqlWrtKBybpKT6ldCSO4QGhoqY8aM0e9AINDGE4hjCs2l8dDMF0B8++23ai5KS0vT5djYWHVcHTZsmK3NCy+8oFooK19//bV07NhRfycnJ8vAgQOlTJkyUrBgQWnevLns3LnT7XmrVKkiEydOlN69e6uzbGRkpMyZM8euzf79++Wxxx6TsLAwKVmypLz44ouSlJTk0sz31VdfSb169Wzt27RpIzdu3LBt//TTT6VOnTrax9q1a8tHH32UoeltwIABan4rXry4lC1bVubOnavH7NWrl/b73nvvlTVr1tyhtXv44Yf1xixfvrxey9TUVNt27N+zZ0+JiIjQ7e+///4d58Y1ffPNN6VixYoSHh4uUVFR8uOPP7rtLyGBAO6bd955J6Ae1IE0nkAcU2gujYfCVADRokULjVbYs2ePTRAoVaqU3YMb6yBYmPz2229y4cIFFXTA0KFDZdmyZfLFF1/Ir7/+qgJG27Zt5fLly27PDSGicePGeu7+/ftLv3795PDhwzaBA8eAEAPBbOnSpbJu3Tp59dVXnR7r7Nmz0rVrVxXODh06pP3v0qWLzQy4YMECGT16tEyYMEG3Q5AbNWqU9tkd2I7rsWPHDhWs0Mdnn31WmjZtqmN9/PHHpUePHnLz5k1tn5CQIE888YQ89NBDsnfvXomJiZHPPvtMxo8fbzvmkCFD9JpCu/f9999rX3EsKxjntm3bZPHixbJv3z49Z7t27eTo0aNu+0sIIcRPMEhA8cADDxhTp07V3507dzYmTJhghISEGImJicbp06chjRhHjhyxtcf2Z555Rn8nJSUZBQoUMBYsWGDbnpKSYlSoUMGYMmWKy3NWrlzZ6N69u205PT3dKFOmjBETE6PLc+bMMYoXL67HN1m9erWRL18+49y5c7ocHR1tdOrUSX/v3r1b+3ny5Emn56tevbqxcOFCu3Xjxo0zmjRp4rKPrVq1Mpo3b25bTk1NNcLDw40ePXrY1p09e1bPu23bNl1+++23jVq1aul4TGbPnm1EREQYaWlpek1xbZcsWWLbfunSJSMsLMwYNGiQLsfHxxvBwcFGQkKCXX9at25tDB8+XH/PmzfPKFq0qMu+E0II8W2omQowWrVqpdoRaHF++ukn1ejAHLZlyxbVoCDHRo0aNWztoVExTXzHjx+X27dvS7NmzWzbCxQooGYuaIDcUb9+fdtvmBbLlSunGi+AfRs0aKAmLhOcA3l0TO2VFbRt3bq1mvmgxYE57sqVKzYtF/rZp08fNa2ZH2iLsN7TPgYHB6v5EOcwgekPWPvdpEkTuxw/6DfMk6dPn9bzpaSkqNnOpESJElKrVi078ybMrjVr1rTrL/4WGfWXEEKIf0AH9AADJrzPP/9czVIQhOBPhHUQsCCQQNiymtNgluvQoYPX58W5rEAAgbCUFSDo/PDDD7J161Y1nc2aNUtGjBgh27dvl0KFCmkbCFhWIcbcL7N9tK4zhaas9tsZELzQr927d9/RPwhVhBBC/B9qpgLUb2r69Ok2wckUpvCx+kt988036i8EbQqoXr26hISEyM8//2xrA00V/Jzq1q2b5T5BMwbhzupAjnMgKaFVi2MFgg20QGPHjlWBD/1asWKFao+gXTtx4oT6c1k/VatWzXIfXfUbvk7WlA3oN5zVkUwR1wvCGIQ8EwisR44csS03atRINVPQdjn2F9o7QnyRzZs3a4Qv7jXciytXrrTbfv78eQ0awXa84HjiA4i55N1339X7BoEj0ECvXbvWrg0ch3E+6wcvhN4yadIk9X3EvYvgGgS7OGrFb926Ja+88opqrPGi8/TTT+s43YG5Af6bCD5BsAwCZRyvA/xNu3XrpgkkESAErbo1+MYfx4SgI8e/03vvveeT41m+fLn6w2If9BOBWY5k5biOUJgKMODkDXMWnLRNwally5bqFI2HvFUzZY3iAzDDwSkbTtWY5A4ePCh9+/ZVh2xMAFkFEwkmz+joaDlw4IBs3LhRHcDh7G2a1qxAOIFT+a5du+SPP/7Qm+HixYsq3AAIWLjxZs6cqWOCKW3evHkybdo0yU7gSI/cW+jr77//riZRhNwOHjxYBUHcdLguuF4bNmzQseEBYy1VAPMexo+IP4wjLi5OHeDR/9WrV2drfwnJLvDiA2Fn9uzZTh+2eNDhhQb3BF52KleufEfErSMjR46UTz75RDXNmFtefvlleeqpp2wBMyb33Xefas3ND1wUvAVmdTwsf/nlF9V6Q7DDA9ba39dff11fMBEgg/Yo5QM3CXdMmTJF56GPP/5Y5y3MoQi2wcPZBPc/An1wXkRcQ1BFNLM/jwlAMLb+nQYMGOCT48H+iEqfPHmyyzZZOe4d5LbTFsl+4PyMP+2hQ4ds6xo0aGCUK1fOtgxn8IIFCxpHjx612/c///mPMWDAAKNUqVJGaGio0axZM2PHjh1uzwcH9OnTp9utw/nGjBljW963b5/x6KOP6jlLlChh9O3bVx24TawO6AcPHjTatm1rlC5dWvtQs2ZNY9asWXbHh5N8w4YN1QEczu0tW7Y0li9f7tYB3XQKd9dvXLcVK1bYln/88UfjoYce0vPg+r311lvG7du3bdsxBjjfFypUyChbtqw66jueC078o0ePNqpUqaIO/uXLlzeeeuopvSaADujEl3G8Jw4fPqzrDhw4YFuHgAzcr3PnznV5HPy///DDD+3WdenSxejWrZttGXMG5o6c5sKFCzqGTZs26fLVq1f13ly6dKmtDeZPa0CKIwhMwZxgBvyYx8GctWjRIttchmPs3LnT1mbNmjVGUFDQHUEp/jImV3NndpMd47ESFxenbffs2WO33tvjmlCYyqMsW7bMqFOnTm53gxDiZ8IUXgKw7tixY3btKlWqpC9FrsBL1Keffmq3DoIUHsxWYQovJhC8qlatavzjH//QiNjsBi+RGMP+/ft1ef369bp85coVu3aRkZHGtGnTnB7j+PHjTh/OeLEbOHCg/v7ss8+MYsWK2W3HyxgifN29/PnymAD+Znh5xN8UL7VTpkyxe8n0lfF4Ikx5e1wTmvnyKDBRuVN7EkKIM+DDhMS8w4cPVx9BRLRiLkGEK8w9roCpCKZ4+N8gyAOmHJi+rfsgqAS1KuFmgLxuMIubfqDZBc6N5L3wybz//vt13blz59Qv07FGJtwQsM0Z5npHVwXrPviG/4+V/Pnzq5+qq+P6+pgAEjsjbx5cNl566SV1y0COQl8bjydk13EZzZdHgS2aEEIyC4IuIATBXxBCAaJU4S/Vvn17t/U1UX8TPpgQxuAIDEd0VB9A9LEJjmEC308IV/DHWrJkiVd+m1bglwP/xuzwxfIV7vaY4Ddq/TuFhISoUAVf0OzIPO6PfyNqpgghhGSKBx98UKOirl69qpolaJIuXbok1apVc7lP6dKlNSoQDsHx8fEa1AENubt9oC1AEMexY8ey5S+EagRwAodGBRG5JoishYYN47GCiC5XUbfmeseoL+s+1nx7JihHhQi/7IrmvdtjckZUVJSO6+TJkz41Hk/IruNSmCKEEJLlAuUQkmC6Q/Rtp06dMtwHkb2oU4mHL0pXudsHKQSQ3BZh+t4AjRke0kivgshbxzQqEA6hcVu/fr1tHcLyEU2MxL3OwDHwsLXuc/36dY2AM/fBNx7SyDNngvPDjOWYJ89fxuSM2NhYjWJ2NGnm9ng8IduO67F3FSGEkDwBolThqIsPHhNwxMVv0xkcJZQ2btyoDssrV65Uh2RE5llBqaZhw4bZln/55RcNfME+mzdvNh577DF1Mrc6/r7xxhsaQQtn4Z9//tlo06aNRhYjsssb+vXrpyWbcGyUjTI/N2/etLV5+eWX1el4w4YNxq5du7Q8lWOJKpSXsjqOv/fee+pgvmrVKnXMR0QyxoSoaJN27doZjRo1MrZv325s2bLFqFGjhtG1a1evxpObY9q6datG8sXGxurf8ssvv9RIzp49e/rkeFDiC/93UcIM/5cXL16syzh2Zo6bERSmCCGE2AFBCQ8ex48ZrTdjxgyN3kNIOR5CI0eONJKTk+2OgRQh1ug+PCQRQYww+5IlS6qw5Zge4O9//7tG8iEVScWKFXXZMWowKzgbCz5IS2ICYaF///6aagURhUhfYn3gmsex7oNUAqNGjdLINowLNTeROsIKHuYQnlDTs0iRIkavXr3s0sL425hQOzUqKkoFH6S6wd904sSJxq1bt3xyPPjt7LjW1D2eHDcjgv57ckIIIYQQkgXoM0UIIYQQ4gUUpgghhBBCvIDCFCGEEEKIF1CYIoQQQgjxAgpThBBCCCFeQGGKEEIIIcQLKEwRQgghhHgBhSlCCCGEEC+gMEUIIYQ44fnnn5fOnTsHxLV55JFH5LXXXvO4/fz587XQNPGM/B62I4QQQu4amzZtku7du8upU6dy7arPmDFDC/ASkhEUpgghhPgcq1atkieffDJX+1C0aNFcPT/xH2jmI4QQkmN8++23ai5KS0vT5djYWAkKCpJhw4bZ2rzwwguqhbLy9ddfS8eOHfV3cnKyDBw4UMqUKSMFCxaU5s2by86dO92et0qVKjJx4kTp3bu3FC5cWCIjI2XOnDl2bfbv3y+PPfaYhIWFScmSJeXFF1+UpKQkl2a+r776SurVq2dr36ZNG7lx44Zt+6effip16tTRPtauXVs++uijDE1vAwYMUPNb8eLFpWzZsjJ37lw9Zq9evbTf9957r6xZs+YOrd3DDz8soaGhUr58eb2Wqamptu3Yv2fPnhIREaHb33///TvOjWv65ptvSsWKFSU8PFyioqLkxx9/dNtf4hoKU4QQQnKMFi1aSGJiouzZs8cmCJQqVcruwY11ECxMfvvtN7lw4YIKOmDo0KGybNky+eKLL+TXX39VAaNt27Zy+fJlt+eGENG4cWM9d//+/aVfv35y+PBhm8CBY0CIgWC2dOlSWbdunbz66qtOj3X27Fnp2rWrCmeHDh3S/nfp0sVmBlywYIGMHj1aJkyYoNshyI0aNUr77A5sx/XYsWOHClbo47PPPitNmzbVsT7++OPSo0cPuXnzprZPSEiQJ554Qh566CHZu3evxMTEyGeffSbjx4+3HXPIkCF6TaHd+/7777WvOJYVjHPbtm2yePFi2bdvn56zXbt2cvToUbf9JS4wCCGEkBzkgQceMKZOnaq/O3fubEyYMMEICQkxEhMTjdOnT0MaMY4cOWJrj+3PPPOM/k5KSjIKFChgLFiwwLY9JSXFqFChgjFlyhSX56xcubLRvXt323J6erpRpkwZIyYmRpfnzJljFC9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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p1.iloc[:, i], p2.iloc[:, i], \".\", markersize=1)\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "18c0ed59-fcaf-4273-bce3-cda50864a6d4", "metadata": {}, "source": [ "The ultimate test to determine whether parameters estimated without a noise model are not significantly different from parameters estimated with a noise model is to check whether the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The estimates values of $n$ are outside the 95% confidence interval more than 300 times out of 1000. That is quite a bit and is an indication that $n$ cannot be estimated very accurately for this dataset. " ] }, { "cell_type": "code", "execution_count": 20, "id": "007938ad-7a1d-4665-badc-9d4bd67d5a27", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameters without noise model within 95% confidence interval with noise model\n", "A, n, a, d\n" ] }, { "data": { "text/plain": [ "array([1000, 670, 979, 1000])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"parameters without noise model within 95% confidence interval with noise model\")\n", "print(\"A, n, a, d\")\n", "(np.abs(p1.values - p2.values[:, :-1]) < 1.96 * sig2.values[:, :-1]).sum(0)" ] }, { "cell_type": "markdown", "id": "46f95e23-7a0a-48eb-acda-1bab40d8d2d5", "metadata": {}, "source": [ "## Parameter uncertainty is larger when the correlation factor is larger" ] }, { "cell_type": "markdown", "id": "4c6c801b-d43d-4b0a-9694-808165505fbe", "metadata": {}, "source": [ "The experiments are repeated for the case that the standard deviation of the error is still $\\sigma=0.1$ but the correlation between errors from one day to the next is increased to $\\phi=0.99$ ($\\alpha\\approx 99.5$ d). The coverage of the estimated parameter uncertainty is somewhat smaller than 95% when using the AR1 noise model. " ] }, { "cell_type": "code", "execution_count": 21, "id": "e8374abe-f157-4d45-a236-dd2a503af667", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n", "coverage without noise model\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage11.826.716.111.4
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" ], "text/plain": [ " A n a d\n", "coverage percentage 11.8 26.7 16.1 11.4" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n", "coverage with AR1 noise model\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage90.794.991.689.481.4
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 90.7 94.9 91.6 89.4 81.4" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigh = 0.1\n", "rho = 0.99\n", "p3, sig3, coverage3, rsq3, rmse3 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage without noise model\")\n", "display(coverage3)\n", "#\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "p4, sig4, coverage4, rsq4, rmse4 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage with AR1 noise model\")\n", "display(coverage4)" ] }, { "cell_type": "markdown", "id": "1f2e0e2e-1f49-4dfe-b3c2-71575dfb8a6a", "metadata": {}, "source": [ "### It is sometimes difficult to estimate the parameters when the correlation $\\phi$ is very large.\n", "The difficulty lies in the model when no noise model is used. It seems the wrong optimal is sometimes found and it is more difficult to estimate $n$. This requires further investigation. " ] }, { "cell_type": "code", "execution_count": 22, "id": "c1de13c4-506b-482a-92ab-e22794015b2a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p3.iloc[:, i], bins=20, density=True)\n", " plt.hist(p4.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 23, "id": "d9456256-5552-4601-9f30-7c8ea7dc35da", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p3.iloc[:, i], p4.iloc[:, i], \".\", markersize=1)\n", " plt.title(pnames[i], fontsize=\"small\")\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cba022ab-0642-4b83-a9ee-2fbb7ba55c1c", "metadata": {}, "source": [ "The parameters estimated without a noise model are sometimes significantly different from parameters estimated with a noise model. Below, it is computed how many times the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The largest deviation is indeed for the parameters $n$ and $a$ as could also be seen from the graphs above. " ] }, { "cell_type": "code", "execution_count": 24, "id": "4b556bc6-6090-42ce-8428-98731770eab1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([998, 239, 698, 999])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.abs(p3.values - p4.values[:, :-1]) < 1.96 * sig4.values[:, :-1]).sum(0)" ] } ], "metadata": { "mystnb": { "execution_mode": "off" }, "kernelspec": { "display_name": "pastas", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }