{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "3K8CUmJjSzke" }, "source": [ "# FMCW Radar 102 - CFAR\n", "[![](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/matt-chv/mmWrt/blob/main/docs/FMCW-Radar-102_CFAR.ipynb)\n", "\n", "CFAR stands for `Constant False Alarm Rate` and is the generic name for detecting target in a noisy/ uncertain environment.\n", "\n", "Goal:\n", "\n", "> Explicit in one single place code and maths needed to understand CFAR for FMCW radar.\n", "\n", "Status:\n", "\n", "* this work book runs in any browser and correctly computes CFAR for a multi target in a AWGN noisy environment\n", "\n", "Howto:\n", "\n", "> you can start with the maths or with the code, you should finish the otherway round and check they both match.\n", "\n", "1. if needed check the introduction to Google Colab to run notebooks in your web browser [here](https://colab.research.google.com/)\n", "\n", "2. Navigate to the cell `CFAR code` and execute it\n", "3. Then navigate to the cell `Visual CFAR experiment` and run it a few times until you `see` more peaks than you have in code (i.e. some noise spikes out)\n", "4. Then navigate to the cell `CFAR code` and run it, you should see the peaks highlighted.\n", "5. you can now change the pfa, training, guard values to see the impact on the CFAR output.\n", "\n", "History:\n", "\n", "* 2022-Dec-15: Clean-up to have MRE for CFAR as standalone cells\n", "* 2022-Apr-28: creation" ] }, { "cell_type": "markdown", "metadata": { "id": "JI0FH3YSsFbI" }, "source": [ "\n", "\n", "Next:\n", "\n", "* click to access other workbooks:\n", " * [FMCW 102 - CFAR](https://colab.research.google.com/gist/matt-chv/33e98a23d4b9d90dd27c1bf7f0a54781/fmcw-radar-102-cfar.ipynb) : CFAR or how to detect objects of interest from range FFT.\n", " * [FMCW 103 - AoA](https://colab.research.google.com/gist/matt-chv/d81f7e2166009a623a36781a0773ae47/fmcw-radar-103-aoa.ipynb) : angle of arrival (CAPON vs Bartlett)\n", " * [FMCW 104 - increased resolution vs FFT bin](https://colab.research.google.com/gist/matt-chv/0b25dbc4673f2d7d63804cc6241643b9/fmcw-radar-104-1-fft-freq-estimation.ipynb)increase accuracy option compared to standard FFT.\n", " * Also available on github as gist for forking:\n", " * [fmcw 101](https://gist.github.com/matt-chv/bdd8b835c5cb7e739bb8b68d00257690)\n", " * [fmcw 102](https://gist.github.com/matt-chv/33e98a23d4b9d90dd27c1bf7f0a54781)\n", " * ...\n", "\n", "Related ressources:\n", "\n", "* Eq 6 and Eq 7 corrected for typo from [1][Analysis of the CA CFAR Algorithm as Applied to\n", "Detection of Stationary Gaussian Signals\n", "Against a Normal Noise Background]\n", "\n", "1: [Analysis of the CA CFAR Algorithm as Applied to\n", "Detection of Stationary Gaussian Signals\n", "Against a Normal Noise Background][Analysis of the CA CFAR Algorithm as Applied to\n", "Detection of Stationary Gaussian Signals\n", "Against a Normal Noise Background]\n", "\n", "\n", "[Analysis of the CA CFAR Algorithm as Applied to\n", "Detection of Stationary Gaussian Signals\n", "Against a Normal Noise Background]: https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7538162\n", "\n", "Possible addition:\n", "* https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.634.6916&rep=rep1&type=pdf\n", "* https://www.irjet.net/archives/V5/i7/IRJET-V5I7431.pdf\n", "* https://www.riverpublishers.com/pdf/ebook/chapter/RP_9788793519138C07.pdf\n", "\n", "mmWave code:\n", "c:\\ti\\mmwave_sdk_03_05_00_04\\packages\\ti\\alg\\mmwavelib\\src\\detection\\mmwavelib_cfarca.c\n", "\n", "> code seems to mostly compare cell value to background, no CFAR." ] }, { "cell_type": "markdown", "metadata": { "id": "Sk8ci7RiukW-" }, "source": [ "### CFAR maths\n", "\n", "At the high-level CFAR is about computing a threshold so that the probability of false positive is below a given threshold aka `pfa`.\n", "\n", "### Generic intro\n", "A simplified way to look at it is to consider a `AWGN` where any threshold can be compared to the variance and yield a probability of false positive, see the [quantile funciton of a gaussian](https://en.wikipedia.org/wiki/Normal_distribution#Quantile_function).\n", "\n", "### Application to FMCW radar\n", "\n", "To apply this to radar, one needs to consider if the noise is:\n", "\n", "* Gaussian\n", "* non-gaussian (and which type)\n", "...\n", "\n", "Assuming here that the noise is gaussian, the Noise Floor `NF` needs to be estimated.\n", "\n", "For this the average of the power in bins surounding the bin under test will be calculated.\n", "\n", "To avoid biasing the average with spectrum leakage a certain number of `guard bins` are excluded from `NF` estimate.\n", "\n", "Once the `NF` is estimated, a certain threshold is computed and if above the threshold then the bin is considered to hold a valid peak value.\n", "\n", "### Illustration\n", "\n", "![](https://farm2.staticflickr.com/1652/25170561054_2e4c18a434_z.jpg)\n", "\n", "$$ P_{fa} = \\left[ \\frac{M}{T+M} \\right]^M $$\n", "Where:\n", "* $ P_{fa} $ is the probability false alarm\n", "* T CA-CFAR threshold\n", "* M length of train sequence\n", "\n", "Which is equivalent to\n", "\n", "$$ T = M \\cdot (P_{fa}^{-1/M}-1) $$\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "gkpxlvA-tv9B" }, "source": [ "## CFAR code" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "nGiKtkbcUnbu" }, "outputs": [], "source": [ "# run this cell to do all imports and define the ca_cfar function\n", "from numpy import angle, arange, abs, cos, pi, random\n", "import numpy as np\n", "# from np.random import normal\n", "from scipy.fft import fft\n", "import matplotlib.pyplot as plt\n", "\n", "from numpy import sqrt\n", "def ca_cfar_new(X,count_train_cells = 100,count_guard_cells=1, Pfa=0.1,return_threshold = False):\n", " \"\"\" Retuns indexs of peaks found via CA-CFAR\n", " i.e Cell Averaging Constant False Alarm Rate algorithm\n", " Parameters:\n", " -----------\n", " X: numpy array\n", " signal whose peaks have to be detected and reported\n", " count_train_cells: int\n", " number of cells used to train CA-CFAR\n", " count_guard_cells: int\n", " number of cells guarding CUT against noise power calculation\n", " Pfa: float\n", " Probability of false alert, used to compute the variable threshold for peak\n", " Returns:\n", " --------\n", " peak_locations: numpy array\n", " list of indexes where CA-CFAR found a peak\n", " \"\"\"\n", " signal_length = X.size\n", " M = count_train_cells\n", " half_M = round(M / 2)\n", " count_leading_guard_cells = round(count_guard_cells / 2)\n", " half_window_size = half_M + count_leading_guard_cells\n", " # compute power of signal\n", " P = [x**2 for x in X]\n", " #P = X #[x for x in X]\n", "\n", " #T scaling factor for threshold\n", " #from Eq 6, Eq 7 from [1]\n", " #T = M*(Pfa**(-1/M) - 1)**M\n", " T = M*(Pfa**(-1/M) - 1)\n", "\n", " peak_locations = []\n", " thresholds = [0]*(half_window_size)\n", " for i in range(half_window_size,signal_length-half_window_size):\n", " p_noise = np.sum(P[i-half_M:i+half_M+1])\n", " p_noise -= np.sum(P[i-count_leading_guard_cells:i+count_leading_guard_cells+1])\n", " p_noise = p_noise/M\n", " threshold = T * p_noise\n", " thresholds.append(sqrt(threshold))\n", " if P[i] > threshold:\n", " peak_locations.append(i)\n", " peak_locations = np.array(peak_locations, dtype=int)\n", " if return_threshold:\n", " return np.array(thresholds + [0]*(half_window_size))\n", " else:\n", " return np.array(peak_locations)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "kWk1JQqwtsao" }, "source": [ "## Visual CFAR experiment" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 373 }, "id": "2x5MztcpsWGs", "outputId": "6a606639-150a-41b1-86d3-f20a58015cb2" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# run this cell to have an example FFT\n", "\n", "# This code defines 2 sine waves in a noisy environment and plots it\n", "# how easy is it after a few runs when noise peaks are high to see which is a\n", "# peak and which is noise?\n", "\n", "f0, f1 = 0.5e3, 3e3\n", "fs = 10e3\n", "n_samples = 1024\n", "T = arange(0, n_samples*1/fs, 1/fs)\n", "Y = cos(2*pi*(f0*T)) + cos(2*pi*f1*T) + random.normal(0,3,n_samples)\n", "FT = fft(Y)\n", "F = [i*fs/n_samples for i in range(len(T))]\n", "F = np.array(F[0:int(n_samples/2)])\n", "MAG = abs(FT[0:int(n_samples/2)])\n", "plt.title(\"This is an FFT, how many peaks can we 'see'?\")\n", "plt.plot(F,MAG )" ] }, { "cell_type": "markdown", "metadata": { "id": "jdVbZx6quLc-" }, "source": [ "## CFAR code" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 397 }, "id": "2xU5cY_zhe6g", "outputId": "554dcaed-697f-472f-eb9c-9368f0492073" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'FFT Amplitude')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# run this cell to see CFAR in action and how tweaking parameters changes output\n", "# here we define the number of training cells\n", "train = 20\n", "# the number of guard cells\n", "# which is to account for spectral leakage\n", "# or if a bin has an adjacent bin with energy (because frequency is not perfectly in one bin)\n", "guard = 1\n", "# the proability of false error\n", "# to be noted the lower the pfa, the higher the false negatives probability...\n", "pfa = 0.0001\n", "\n", "# get the index of the position of peaks\n", "peak_idx = ca_cfar_new(MAG, train, guard, pfa)\n", "# get the computed thresholds to be able to plot them\n", "th = ca_cfar_new(MAG, train, guard, pfa, return_threshold = True)\n", "\n", "# plot the FFT\n", "plt.plot(F,MAG)\n", "# mark the peaks\n", "plt.plot(F[peak_idx], MAG[peak_idx], 'rD')\n", "# show the thresholds computed (you can change, train, guard or pfa to see changes)\n", "# lower # train cells will under-estimate the noise floor and will yield to more\n", "# false positives\n", "# higher pfa will also increase the number of peaks\n", "plt.title(\"FFT, peaks and thresholds from CFAR\")\n", "plt.plot(F,th,'b-')\n", "plt.xlabel('Freq')\n", "plt.ylabel('FFT Amplitude')" ] }, { "cell_type": "markdown", "metadata": { "id": "tjmkLa4Ethef" }, "source": [ "## BACK-up content\n", "do not read beyond this point, this is either noise or incorrect" ] }, { "cell_type": "markdown", "metadata": { "id": "AGFlPm887S3K" }, "source": [ "## CFAR\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "sMP2qqLT7KjN" }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Plot settings\n", "plt.rcParams['figure.figsize'] = (20, 5) # set default size of plots\n", "plt.rcParams['image.interpolation'] = 'nearest'\n", "plt.rcParams.update({'font.size': 22})\n", "\n", "def ca_cfar_new(X,count_train_cells,count_guard_cells, Pfa,return_threshold = False):\n", " \"\"\" Retuns indexs of peaks found via CA-CFAR\n", " i.e Cell Averaging Constant False Alarm Rate algorithm\n", " Parameters:\n", " -----------\n", " X: numpy array\n", " signal whose peaks have to be detected and reported\n", " count_train_cells: int\n", " number of cells used to train CA-CFAR\n", " count_guard_cells: int\n", " number of cells guarding CUT against noise power calculation\n", " Pfa: float\n", " Probability of false alert, used to compute the variable threshold for peak\n", " Returns:\n", " --------\n", " peak_locations: numpy array\n", " list of indexes where CA-CFAR found a peak\n", " \"\"\"\n", " signal_length = X.size\n", " M = count_train_cells\n", " half_M = round(M / 2)\n", " count_leading_guard_cells = round(count_guard_cells / 2)\n", " half_window_size = half_M + count_leading_guard_cells\n", " # compute power of signal\n", " #P = [x**2 for x in X]\n", " P = X #[x for x in X]\n", "\n", " #T scaling factor for threshold\n", " #from Eq 6, Eq 7 from [1]\n", " #T = M*(Pfa**(-1/M) - 1)**M\n", " T = M*(Pfa**(-1/M) - 1)\n", " print(\"Pfa**(-1/M\",Pfa**(-1/M))\n", " print(\"T T\",T)\n", "\n", " peak_locations = []\n", " thresholds = []\n", " for i in range(half_window_size,signal_length-half_window_size):\n", "\n", " #if i != i-half_window_size + np.argmax(P[i-half_window_size:i+half_window_size+1]):\n", " # continue\n", " p_noise = np.sum(P[i-half_M:i+half_M+1])- \\\n", " np.sum(P[i-count_leading_guard_cells:i+count_leading_guard_cells+1])\n", " p_noise = p_noise/M\n", " threshold = T * p_noise #*1.5\n", "\n", " thresholds.append(threshold)\n", " if P[i] > threshold:\n", " peak_locations.append(i)\n", "\n", " peak_locations = np.array(peak_locations, dtype=int)\n", "\n", " if return_threshold:\n", " return np.array(thresholds )\n", " else:\n", " return peak_locations\n", "\n", "def ca_cfar_old(x, num_train, num_guard, rate_fa):\n", " \"\"\" Detect peaks with CA-CFAR algorithm (Cell Averaging CFAR).\n", " credit: http://tsaith.github.io/detect-peaks-with-cfar-algorithm.html\n", " FIXME: need to work with rate_fa < 0.3\n", "\n", " num_train: int\n", " Number of training cells.\n", " num_guard: int\n", " Number of guard cells.\n", " rate_fa: float\n", " False alarm rate.\n", " \"\"\"\n", " num_cells = x.size\n", " num_train_half = round(num_train / 2)\n", " num_guard_half = round(num_guard / 2)\n", " num_side = num_train_half + num_guard_half\n", "\n", " #fIXME where does it come from?\n", " alpha = num_train*(rate_fa**(-1/num_train) - 1) # threshold factor\n", " #alpha = num_train*(rate_fa**(-1/num_train) - 1)**num_train\n", "\n", " peak_idx = []\n", " for i in range(num_side, num_cells - num_side):\n", "\n", " if i != i-num_side+np.argmax(x[i-num_side:i+num_side+1]):\n", " continue\n", "\n", " sum1 = np.sum(x[i-num_side:i+num_side+1])\n", " sum2 = np.sum(x[i-num_guard_half:i+num_guard_half+1])\n", " p_noise = (sum1 - sum2) / num_train\n", " threshold = alpha * p_noise\n", " print(\"i old \",i,x[i],threshold)\n", "\n", " if x[i] > threshold:\n", " peak_idx.append(i)\n", "\n", "\n", " peak_idx = np.array(peak_idx, dtype=int)\n", "\n", " return peak_idx\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 493 }, "id": "1oa5ncCb22KD", "outputId": "02a48978-cc67-43e6-b4b7-956cac6ff972" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pfa**(-1/M 1.2589254117941673\n", "T T 2.589254117941673\n", "Pfa**(-1/M 1.2589254117941673\n", "T T 2.589254117941673\n", "peak_idx = [12 13 14 16 22 23 24 26 31 32 33 38 42 43 51 52 53 54 61 64 65 66 67 68\n", " 72 74 76 77 78 80 82 84 86 90 91 92]\n", "N peaks 36\n", " \n" ] }, { "data": { "image/png": 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qAAAAAECQS8/OD7rWa84hlHP7OAAAAABlI9QBAAAAgCBnV7oEW6VOQqxdqcOcOgAAAIArCHUAAAAAIMhlFIUiwRbqJBbNqUOlDgAAAOAaQh0AAAAACHLpOXklQpJgYYdQmUVzAgEAAAAoH6EOAAAAAAQ5u31ZUnyMBBN7DiC7fRwAAACA8hHqAAAAAECQs9uXJQVppY7dPg4AAABA+Qh1AAAAACBEQp3E2OCaUychljl1AAAAAHcQ6gAAAABAkEuzQ52iypdgQfs1AAAAwD2EOgAAAAAQ5OxKl+T46CBtv0aoAwAAALiCUAcAAAAAQqX9WpBW6mTmFUhhoeHv1QEAAAACHqEOAAAAAAS5tOzgDHXsSh3DEMnKK/D36gAAAAABj1AHAAAAAIJcRm5R+7UgC3XiYyIlMsI6Tws2AAAAoGKEOgAAAAAQ5DJyCoKyUiciIkISY611TifUAQAAACpEqAMAAAAAIdN+LUqCjR1E2cEUAAAAgLIR6gAAAABAkLNblyXHxUiwsYMou4UcAAAAgLIR6gAAAABAECsoNCQrryBoK3WSHJU6hDoAAABARQh1AAAAACCIOc9FE2xz6qgE5tQBAAAAXEaoAwAAAABBzK5wiYmKkLjo4NvFY04dAAAAwHXBt8UPAAAAADgi1NFwJCIiQoJNkj2nDpU6AAAAQIUIdQAAAAAgiKXZoU5RG7OgrdTJJdQBAAAAKkKoAwAAAABBzK5wSY4PzlAnydF+jVAHAAAAqAihDgAAAACESPu1YJRQVGGUzpw6AAAAQIWCc6sfAAAAAHwkP1/k//5PJDpa5PLLRXr1EgmkqWvSsoM71ElkTh0AAADAZcG51Q8AAAAAPvL77yKvvGKdf+EFkQ4dRK64wjq1bx9A7deCNNSh/RoAAADgOtqvAQAAAEA55s2zfjZqJBIfL7J6tciTT1rhzlFHibz8ssj27f5bv4zcghIVL8HGrjDKyCXUAQAAACpCqAMAAAAA5ViwwPr56KMiu3eLfPKJyOmni0RFicyfL/LQQyLNmokMGiTy3nsi+/f7dv2Cvf1acaUOc+oAAAAAFSHUAQAAAIByaHCjevcWqV5d5JprRCZNEtm5U2TMGJETThAxDJF//hG57TaRhg1FzjlH5IsvRNLTvb9+wd5+LSGWOXUAAAAAVxHqAAAAAEAZtDJHW6tFRIj06lXyf/Xqidx5p8j06SKbN4s895xIz54i+fkiP/8sctVVIg0aiNx3nxX6eIsdhgRrpY693umEOgAAAECFCHUAAAAAoILWazp/TlJS2cs1by7yf/8nsnChyIoVIsOGibRpI5KZKfL66yIbNnhvHdNyQqX9WmCGOoWFIsuXixw86O81AQAAAAh1AAAAAMCl1muu6tRJZNQokbVrRfr0KXk9Xm2/Fh+coY4dRmXmFUhhoRdLmlykVVWrVom89ZbIRRdZFVldu4oMGODdiisAAADAFcG51e9k7ty58t9//5k/ly9fLnv37pV9+/ZJXl6e1KxZUzp16iSDBg2S66+/Xlq0aOHSde7cuVPeffdd+emnn2TTpk2SlZUljRo1kv79+8uNN94oA3RrHgAAAEDIs8MYO5xxh7ZsO+oo6zq04ufSS8W77ddig7tSRwOTrLwCv1Qcbdki8vffIpMnW6cdO45cZtkykV27RBo18vnqAQAAAA7BudXvRAObjIyMUv+3Z88e8zR16lQZPXq0jBgxQoYMGVLu9f34449yww03yMHDaus3bNhgnsaNGye33XabjBkzRqKirAk9AQAAAIR2+zV3KnWc2ZfzZqVOsLdfi4+JlMgIES3S0YDKF/djzx6RKVOKg5z160v+Py5O5PjjRU46yTrdeKNVvaPt9Qh1AAAA4E/BudV/mPr168sxxxwjPXr0kFatWkmNGjXMSh2tsvnll19kxowZkpOTI48//rj59+HDh5d6PVOmTJFLL71UcnNzzd/POussOffccyUxMVEWLFggH374oaSkpJhVPBEREfL222/7+J4CAAAA8JV9+6wKDtWrV+Wuw67w0XBIK1G0esfTgr39mu5bJcZGm+FUek6+1PfS7ehYQG2L9+uvVtWNMx2vd/TRIiefbIU4/fqJVKtWMpyzQ50zz/TSCgIAAAAuCM6tfiezZ8+WLl26mDsCpdHKnE8++cRsv2YYhjz11FNy8803S+PGjUssp6GPtlazA5033nhD7r77bsf/r7rqKrNCZ+DAgbJr1y5555135JJLLpGTdIsfAAAAQMhW6bRrJ1KjRuWuQ+diiYkROXBAZPNmkZYtxeMycgqCulLHXncNdez74g3jx4s8/3zx7z16WAGOBjn9+4tUr172ZTXU++ILK9QBAAAA/ClSglzXrl3LDHRs1157rZx99tnm+fz8fPntt9+OWGbs2LFmZY8655xzSgQ6tvbt25tt12xDhw71wD0AAAAAEIjslmmVbb1mt/HSYMc5JPKkwkLDrG5RiXHB2x7aXnf7vnjD4sXWz8svt9qvLVok8vLL2qGh/EBH9exp/dTLAAAAAP4U9KGOq7Sax6aVNof76quvHOcffPDBMq/n/PPPl5ZFw+tmzZolm3W4HQAAAICQDXXsFmqV5c15dTLziitbkuNiJFglFVUZZeZ6L9SxW66deqpIvXruXdZuv6dz76SkeH7dAAAAAFeFTaizbt06x/mGDRuW+F9aWpr8+++/5vnk5GTpr7X3ZYiMjJTTTz/d8fukSZO8sr4AAAAA/MuurKlqqOM8r4635tOJjBCJjwne3Tu7dZw3K3WWL7d+2pVT7qhTR6RZs5IVPwAAAIA/BO9Wvxt++ukn+eGHH8zz8fHxcpbW1ztZsWKFFBYWmud79eolUTpLZjmO1hk0iyxdutQr6wwAAADAf3QOnI0bS1ZpeKJSxzDEo9Ky7dZr0RW2pQ5kCbFWqOOtOXX27RPZvds636lT5a7Dfh0wrw4AAAD8KXhn0izFtGnT5IDufYlIbm6ubN26Vf744w/zpKKjo+Wdd96RBg0alLjc6tWrHedbtWpV4e04L+N8WQAAAAChwa6qad1apFatql1X9+4iOm5s716R7dtFmjYVj1fqJBdVugSrpKI5dez7460qHd2VS0qqfKgzcSKhDgAAAPwruLf8D/N///d/MmfOnCP+riPWBg4cKCNHjpQBAwYc8f9Dhw45ztetW7fC26mjtfelXBYAAABAaIU6dpVNVVSrJtK5s1b5W9frjVDHbl8WrLzdfs2eT8dpqlW39exp/Vy0yDPrBAAAAFRGWLRfa9KkiQwePFjatWtX6v/T09Md57U9W0Wq6V6Z03w85cnJyZHU1NQSJwAAAACBTVuleWI+HZt9Pfb1ekp6iIQ6SUXrn5nr3VCnMvPpHN5+Tat+cnI8s14AAABAWIc6s2fPFsMwzJMGNYsWLZJRo0aZwcsTTzwh3bp1k7/++sun6zR69GipUaOG49TMnl0TAAAAQMBX6ngq1LErfuzr9XSokxwfKpU6BV5tv1aVSp3mza1WfPn5xdcHAAAA+FpIhTrOEhMTpUePHjJs2DBZuHChNG7cWPbv3y9nnXWWLNW+B06SnJoqZ2dnV3jdWVlZjvPJycnlLjtkyBBJSUlxnHSeHwAAAACBKyVFZN06z7Vfc74eT1fqONqvxQZ3qJMQ6705dQzDM5U6ERHF1TrMqwMAAAB/CdlQx1mrVq3k2WefNc/n5ubK008/XeL/NWvWdJzft29fhden4VBply1NXFycVK9evcQJAAAAQOCyq2latND5ND1znTofi4YCO3daJ0+xK1tCpf2aN0KdXbtEDh4UiYwU6dixatdlhzrMqwMAAAB/CYtQR51xxhmO8//880+J/3Xo0MFxfuPGjRVel/MyzpcFAAAAEPw83XpNJSYWBwqebMGWnpMXYu3XPB/q2FU6bdvqHKpVD+cUlToAAADwl7AJdZzbpB3UYVpOOnfuLJE6bMvcOF8oBQXl93GeO3eu43zXqtTvAwAAAAg4dos0T7Ves9khkSdDnQxHpY7VvizYK3Uycz0/p449/40ndt3sSp3Fi0UKC6t+fQAAAIC7wibUWbt2reN8vXr1jgh8jj/+ePN8Wlqa/Pvvv2VeT2Fhofz++++lVgABAAAACH7eqNTx1rw6dmVLsLdfS/Ri+zW7UqdLl6pflzZq0Gqf9PTieZcAAAAAXwqbUOedd95xnLcDHGeXX3654/xLL71U5vVMmDDB0X6tb9++0rJlS4+vKwAAAAD/SEsTWbMmeCp10rOtECQ5yEOdhNgor7df80SlTnS0SPfu1nlasAEAAMAfIoM9qJkyZYoYhlHmMtpK7dlnn5W33nrL8bc777zziOVuvPFGad68uXn+p59+kjFjxpRa7XPXXXc5fn/qqac8cC8AAAAABAo9UK+7F02bitSv79nrtudj2bpVZO9ez1xnRm5oVOokealSR59LT7Zfc27BtmiRZ64PAAAAcEdQb/nPnj1b7rjjDmnWrJkMHjxYunXrJvXr15fY2Fg5dOiQLFu2TH788UfZtGmT4zJDhgyRgQMHHnFd8fHx8uGHH8qZZ54peXl5cvfdd8tvv/0m5557riQmJsqCBQvkgw8+kJSUFHP5W265RU455RSf3l8AAAAAwdl6TVWvLtK+vVUJpLdz2mlVv86Qa7+WWyCFhYZERkZ45Hq3bLFapcXEiLRr59lwjkodAAAA+ENwb/kX2bp1q4wdO7bcZWrUqCGjR482Q6CyaEgzfvx4s2pHQ6Gff/7ZPB1OA523337bI+sOAAAAIHDY8914uvWaTa9XQx29HY+EOiHSfs2u1FFZeQUeC6nsKh2dC0eDHU9W6thVXRGeyZ8AAAAAlwT1lv/rr78u5513nkybNk0WLlwo69evl3379pmVNklJSdKgQQPp3r27nHbaaXLJJZeYwU5FLrjgAnOuHA1ttA2bVvlkZ2dLo0aN5IQTTpCbbrqp1EofAAAAAKET6nijUscOdb76ynPz6mSESKVOfEykaHFOoWHdJ0/dH3s+nS5dxGO6dROJjBTZs0dk506Rxo09d90AAABARYJ6y7969epmCKMnT9IAZ9SoUeYJAAAAQHjIyBBZtcq7lTp2WOSpUCdU2q9FRERIYmy0pOXkm/fJU9MZeXo+HZWQINKxo8iKFVa1DqEOAAAAfCnSp7cGAAAAAAFKJ77XdlqNGlknb7Bbd23cKHLgQNWuyzAMR6iTHB/coU6JeXVyCjx2nd6o1HF+HvU1AwAAAPgSoQ4AAAAAOFXPeKv1mqpVS6R1a+u8VnlURXZeodmuLBQqdVRiXJT50w6qqqqgwKqm8XSljurZ0zPPIQAAAOAuQh0AAAAAcJpPx1ut12z29du3V1nO4UdCjBWIBLOkomAqM9czoY5WQ2Vni8THFwdpnq7UIdQBAACArxHqAAAAAIBTyOLNSh1PzqtjhzoahkRGRkiws6uNPFWpY7de69RJJCrKO6HOhg0iKSmevW4AAACgPIQ6AAAAAMJeZmZxqy5vhzqeqtTJKAo/7LZlwS4h1rNz6ixf7p3Wa6p2bZHmza3zixd7/voBAACAshDqAAAAAAh7S5aIFBaK1K8v0rixb0KddeuqVuVhV7SEwnw6KqkonLLDKk9V6nTpIl5BCzYAAAD4A6EOAAAAgLDn3HotwsudzOrWLa7yqEogkJ5thR/JIRLqeLr9mjcrdVTPntZPQh0AAAD4EqEOAAAAgLBnz29jV9F4myfm1cnIDbVKHbv9WtVDnbw8kVWrrPNU6gAAACCUEOoAAAAACHvOlTq+4Il5dUKt/Zp9PzJyqz6nztq1VrCTlFRcFeWtUEfnYsrJ8c5tAAAAAIcj1AEAAAAQ1rKzi1t1+TrUqUqljt1+za5wCXYJsZ6bU8d+PrVKJ9JLe73NmonUri2Sn198ewAAAIC3EeoAAAAACGtLl1oH5uvUsQ7U+4IdHq1eLZKWVrnrsMOPUAl1PNl+bdky77ZeUzr3EvPqAAAAwNcIdQAAAACENefWa3qg3hcaNBBp3FjEMEQWL67cdaTnFIRk+zW7rVxV2JUzXbuKVzGvDgAAAHyNUAcAAABAWLNboPmq9ZrNvr3KtmBLz8kzfybFWW3LQqZSJzc4KnUUoQ4AAAB8jVAHAAAAQFizK3XseW58xb49+/bdlVFUqZMUYpU6mUX3qypzJK1b59tKHa22Kiz07m0BAAAAilAHAAAAQNjKybHm1AnOSp38EGu/FuWR9ms6T1FBgUjNmiKNGolXdeggUq2aSEZGcZAEAAAAeBOhDgAAAICwpXOv5OWJ1Kol0rKlfyp1VqwQycx0//J2+BEylTqxRe3Xqhjq2K3XtErH23MkRUWJdOtmnacFGwAAAHyBUAcAAABA2HJuvebtAOBwjRuLNGhgte1assT9y9vhR1J8iIQ6jjl1CqSw0KhSUOeL1ms25tUBAACALxHqAAAAAAhbduszX7deUxoiVWVenVBrv+ZccZSZV1DlSp0uXcQnCHUAAADgS4Q6AAAAAMKWc6WOP1RlXp1Qa78WHxMpkUXVUplVaMHmz0odo/IFRgAAAIBLCHUAAAAAhCWdS8due+aPSh1VlUqdjBALdSIiIhxVR3Zg5a6MDJENG3xbqaNz6kRGiuzdK7Jzp29uEwAAAOGLUAcAAABAWFqxQiQnR6RGDZE2bfwb6mh1SXa265fLyS+QvAIjpNqvqcTYonl1cirXfm3lSutn/foi9eqJT1SrJtKxo3WeFmwAAADwNkIdAAAAAGHJro7R9lk6v40/NG8uUqeOSH6+yNKlrl/OOfRIjI2SUJEYF1WlSh17Ph1ftV6zMa8OAAAAfIVQBwAAAEBYhzr+ar2mNEyyq3XcmVcnPdsKParFREl0VOjs1tmt5OzWcpUNdXzVeu3wUGfRIt/eLgAAAMJP6Gz9AwAAAIAb7BDFDlX8xQ6V3JlXx65kCaXWa873JyO3cqGOtrFTVOoAAAAgVBHqAAAAAAg72u5s8WL/V+qoylTq2KFHUlG7spALdSo5p46/KnV69rR+btggkpLi29sGAABAeCHUAQAAABB2Vq0SycoSSUoSadfOv+tih0o6p05urnvt15LiQ6xSp2h+oMq0X9MwZds2/4Q6tWtb8yMpWrABAADAmwh1AAAAAIQdu9WZts2K9PNeUatWIjVrWoGO3T7M5fZrsdEhWalj3z932I9dkybW4+lrtGADAACALxDqAAAAAAjbUMffrddURIT7LdjsSpakEJtTx74/lanU8dd8OoeHOlTqAAAAwJsIdQAAAACEHTs8scMUf7PXww6bKmJXsoRc+zU71CmaM6gy8+n4O9ShUgcAAADeRKgDAAAAIKwUFBQfeA+ESh3lbqWOo/1aXIiGOjkFla7U8fV8OoeHOitWiOTk+GcdAAAAEPoIdQAAAACEldWrRTIzRRISRDp0kIBgh0uLF4vk54dv+7XE2KhKt1/zd6VO06YitWtbz5+9LgAAAICnEeoAAAAACCt2NUzPniJRVobgd23biiQni2Rni6xc6Ub7tVALdYruj33/XLVvn8ju3db5Tp3Eb3Mj0YINAAAA3kaoAwAAACCs2PPWBErrNRUZWRwIuDKvTnpRe7JQa7+WVMk5dezWa61aiSQlid/Yz+GiRf5bBwAAAIQ2Qh0AAAAAYVmpE0ihjrvz6hS3XwuQUiM/z6ljtzvz13w6Nip1AAAA4G2EOgAAAADCRmFh8QF3O0QJFHbI5FKlTrYd6sRIKEmMq9ycOnaljr/m0zk81NG5kQrcy6UAAAAAlxDqAAAAAAgba9eKpKWJxMf7b+6Vstghk7buqigQsOecsUOQUJEYG12pUMeu1PF3qNO+vUi1aiIZGSLr1vl3XQAAABCaCHUAAAAAhA27tVmPHiLRATYdTYcOIgkJIpmZIqtXl7+sPeeMPQdNyLVfyy2QwkLDpcsYRnGljr/br0VFiXTvbp1nXh0AAAB4A6EOAAAAgLBhtzYLtPl07ECgZ0/X5tVxtF+LD61QxzmkysxzrX/Zrl0iBw6IREaKdOwofse8OgAAAPAmQh0AAAAAYcMOSwIx1HFerwpDHbv9WlG7slARHxMpkRHiVgs2u/Va27ZWWz1/I9QBAACANxHqAAAAAAgL2qbLDkvs+WsCjb1edkVRafIKCiUnvzAk269FREQUt2BzMdSxW6/5ez6d0kIdfc0BAAAAnkSoAwAAACAsrF8vkpIiEhfn/7lXKgp1NBAotHKbIziHHXYAEkoSi6qPMnIK3KrUCZTnVMMlbaW3d6/Ijh3+XhsAAACEGkIdAAAAAGHBrtLRiexjYiQgde5stRBLSxNZt6781mux0ZHmKdQkxkWVuJ/BVqlTrVrx3D6LFvl7bQAAABBqQm8PAAAAAABKEeit11R0tBU6lTevjl3BEmqt12xJbrRf0/ZmgRbqKObVAQAAgLcQ6gAAAAAIC3ZIYh9wD1R9+pQ/r056Tl5IhzqOOXVyKw51tm61qpq08qpdOwkYhDoAAADwFkIdAAAAACFPKzrsA+yBHurYlURlVeqkF1XqhOJ8OiVCHRfm1LHn0+nQIbBa6vXsaf0k1AEAAICnEeoAAAAACHnbt4vs22dNYN+tmwRFpY6GOhpGHc5uS5ZUNPdMOLdfs0OdLl0koNihzsaNIocO+XttAAAAEEoIdQAAAACEPLtiolMnayL7QKYBRWysFQZoKHC49Gw71AnNSp2EWCusSnch1AnE+XRU7doiLVpY5xcv9vfaAAAAIJQQ6gAAAAAIecHSek1poGOHFKW177LDjlBtv1aZSp1AC3UU8+oAAADAGwh1AAAAAIS8YAp1nNuJrVxZXvu1EJ9TJ7f8UKegoPjxCbT2a4pQBwAAAN5AqAMAAAAg5AVbqKNt4soKddLDJdTJKSh3OW1Nl5UlEh8v0rq1BBx7Xh1CHQAAAHgSoQ4AAACAkHbggMjmzSUPtAe6zp2tnytWhGP7tSiX2q/Z8+loABZlXSSg2AGiBnPZ2f5eGwAAAIQKQh0AAAAAIW3RIutnq1YiNWtKUFXqrF4tUlgYXu3XEmKjS4RXwTifjmraVKROHZH8/NIrrgAAAIDKINQBAAAAENIWLAiu1mtK24nFxlrtxewqoyPar8WHZqiT5OKcOnaoE4jz6aiIiOKKq1Wr/L02AAAACBWEOgAAAABCWrDNp6Oio0XatbPOH17lEert11ydU8duvxaolTqqY0frJ6EOAAAAPCXoQ520tDT57rvv5O6775bjjjtO6tWrJzExMVK9enXp2LGjXHvttfLbb7+JYRguX+e6devkkUceka5du0qNGjUkKSlJOnToIHfddZcssns3AAAAAAiqUKd3bwkqdgu2w0MdO+yw554JNYlF96u89mt5ecVBCaEOAAAAwklQD+16+eWX5YknnpDsUmad1LBn9erV5unTTz+V/v37y2effSbNmzcv9zrfe+89uf/++yVL+xw4WbNmjXl69913Zfjw4eYJAAAAQGDLzLTmpQm2Sp3yQx17Tp0YCeX2a5nlhDrr1lnBTlKSSAW7eH7VoYP1k1AHAAAAnhLUoY6GLHag06RJEznllFOkT58+Ur9+ffPvs2fPNoOc9PR0mT59upx44onm3/T/pdFlb7vtNvN8ZGSkXH755XLyySdLdHS0zJgxQ8aNGyc5OTkyYsQIiYuLk0cffdSn9xcAAACAe5YsESksFGnQQKRRIwmJUCfN0X4tNCt1EmLtOXUKpLDQkMjIiHLn09G5awK9UmfNGpGCApGo0HzKAAAA4ENBHepERETIqaeeKg8//LAZvmgQ4+y6666Txx57TE477TSzYmfjxo3m72PHjj3iuvbu3Wu2V1N6PT/88IOce+65jv9rG7cbbrjBvJ3MzEwZOnSonH/++WZbNgAAAACBKRjn07F17lwc6mg3aTu8KK7UCerduTI536/MvIJS76c9n46GOoGsZUuR2FgRHYu4ZYtIq1b+XiMAAAAEu6CeU+fpp5+W33//XQYPHnxEoGNr0aKFjB8/3vG7ntdQ5nAvvviipKammuc13HEOdGx9+/aVp556yjyfn58vI0eO9OC9AQAAAOBpwRzqtG9vBTkHD4rs3m39raDQkMzcgpAOdeJjIiXysACrrEqdQJ5PR2lljj6PihZsAAAAkHAPdWrXru3Scj169HBU1Gigs04bMB/GOfh54IEHyryuW265RRITE83zEydOPGLuHQAAAACBI5hDnWrViis77BZsGbnFIUdiiIY62pHBvm/pFYQ6gV6p49yCzZ7bCQAAAAjbUMcd1atXd5w/PIhZsWKFbN682TzfqVMnaVVOTXxycrL079/fPJ+RkSFTp0712joDAAAAqLy8PJGlS4M31CltXh27ciU6MkLiokN3d86uQsrMsaqSnGkrM3ucXqBX6jiHOlTqAAAAwBNCdy/ASW5urqzRmSmdWrI5W2rv6YnI0UcfXeH1OS/jfFkAAAAAgUODkJwcHZgl0rq1hFSokxQfbVa0hKqE2KgyK3W04qWgQKRWLZFGjSTgEeoAAADAk8Ii1Pniiy8kJSXFPN+7d29p2LBhif+vdqqDL69Kp7RlnC8LAAAAIDBbr5UxBWfQhTpp2VbIkRgbmq3XDq/UKW1OneXLi1uvBUOuRagDAAAATwrtPQER2bt3rzz66KOO34cOHXrEMocOHXKcr1u3boXXWadOnVIvW5qcnBzzZEtNTXVpvQEAAACE73w6ZVfqFJQIPUKVPaeO8xxCh8+nEwyt11TR9K6ye7fIwYNWhREAAABQWUE6Xs31tmsXXXSR7Nmzx/z9/PPPlwsuuOCI5dLT0x3n4+PjK7zeajpjaZG0tLRylx09erTUqFHDcWrWrJmb9wIAAABAuIc6O3aIaPMBux1ZYpzVnizUQ53S2q/Nm2f97N5dgkJSkkjTptZ5Gj0AAADA76GOYRgSiAoLC+XGG2+U6dOnm7+3adNGxo4d6/P1GDJkiNn6zT5t3brV5+sAAAAAhJvCQpFFi4I/1KlZs3jeGG3fZYccSfExEsrsSqTMosokm86lM3u2df644yRo0IINAAAAARPqtGjRQkaNGiXbt2+XQKFB0+233y6ff/65+Xvz5s3lr7/+klpl1Lkn6dCpItnZ2RVef1ZWluN8ss66Wo64uDipXr16iRMAAAAA79q4UVsf6/Z4cbVLsLLXf8WK4jlmkkK8UichNqrUSh2dT0ebJeguXLC0X1OEOgAAAAiYUGfbtm0ycuRIadWqldnebNKkSX6t3tHbvvPOO+X99983f2/atKlMnjxZWrZsWeZlaurwtyL79u2r8Db2799f6mUBAAAABFbrNT3wHxPkRS3O8+o42q/FRodFpY4dYtlmzrR+9u0rEhVEuRahDgAAAAIm1NEqFw1S8vPz5aeffpKzzz7bDHiefvpp2blzp/iSrsddd90l77zzjvl7kyZNZMqUKWbrtfJ0sGeuNEf0bazwdpyXcb4sAAAAgMAQCvPplBfqJMVHh8WcOhm5pYc6wdR6TRHqAAAAIGBCHQ1uNETp3bu3GaroSeeNGT58uNma7aKLLpI//vhDfBXovP322+bvjRs3NgOdtm3bVnjZbt26Oc7PnTu3wuWdl+kaTDX/AAAAQJgI1VCnuP1aeIQ66YfNqRPsoc769SJ5ef5eGwAAAIR1qJOYmCi33nqrzJs3zzzdfPPN5t/s6p0JEybIGWecIa1bt5Znn31Wdu/eLd4OdBo1amQGOu3atXPp8p07dzbn3VErV66UTZs2lblsenq6TJ8+3TyfkJAgAwcO9Mh9AAAAAOD5UKd3bwmZUEcbBhxKKygReoQqe86gTKf2a7orqaFIRITIscdKUGnc2JoHKD/fug8AAACA30IdZ1qt895778mOHTvMgMW5emfz5s3yxBNPmOHJpZdeKn/99ZfHbvfuu+92BDoNGzY0A5327du7dR2XXXaZ4/zLL79c5nJ6/zIyMszz5557rhnsAAAAAAgc2gV61y6RyEiR7t0l6DVsKFKjhkhhocj2TdFhUamTUDRnkN1uTs2aZf3s0kXnNpWgokGU3bmbFmwAAAAImFDHeZ6d2267zazc0VZlztU7eXl58t1338lpp51mVtK88MILsnfv3krf1j333CNvvfWWI9D5559/KjXPzcMPPyzJycnm+TFjxsjEiROPWGbOnDkybNgw83x0dLSMGDGi0usNAAAAwLtVOrpbEApjsDQQ6NzZOr97a2xYhDpJpcypE6yt12zMqwMAAABP8PqeQJ8+fczqFq1++eKLL8zzCxYsMP+3fv16eeyxx8ygROfeue++++SYY45x+bqHDh0qb775pnk+IiLCvLy2T9NTebSCyG63Zqtfv7688cYbcv3110thYaFccMEFcvnll8vgwYMlKipKZsyYIePGjZPs7Gxz+ZEjR0pHe6scAAAAQMAIpfl0nFuwaaXK3q1xIrVCv/2aff8ynObUIdQBAAAAfBDq2GJiYqRatWoSHx/vCGHs1my5ubny1Vdfmaezzz7brJRp2rRphdf577//Os7r9QwZMsSldfnoo4/M8OZw1113nWRmZsqDDz5ohjcaQunJmQY82kbu8ccfd+m2AAAAAPhWqIY66tD2eKnWPfQrdRKL5tSx26/l5orMm2f9j1AHAAAA4czrewIrVqwwq3M+/fRTOXToUIkQZuDAgXLqqafK119/LYsXLzb//vPPP5st2/777z+Xgh1Pu+OOO+SUU06Rd955R3777TfZunWrWbnTuHFjOfnkk+XWW2+VXqG0dwgAAACEmFAOddJ2J0i1MGq/llkU6uhzmpMjUreuSNu2EvShjmFYbfUAAAAAd3llTyAnJ0fGjx9vhjmzimaz1BBH1ahRQ6699lq5/fbbpVPRnolW2Ohy2oZt8uTJsnv3bhk1apR5+fLo/DneoHP9vPTSS+YJAAAAQPBISRHZsCF0Q53sfQliFEY4KllCVUKsPadOgRQWGjJzZoSjSidYwxANoyIjrdfonj0iDRr4e40AAAAg4R7qLF++3AxiPvvsM0dVjh3maHWLVsFceeWVklDKbKX9+vWTv/76S8455xz55Zdf5O+///bkqgEAAAAIA4sWWT91Cs3atSVktGghEh9vSHZ2pOQfqiZJ8eFRqaMy8wpk5szooG69prQTeatWOresVa1DqAMAAIDKiJQq0rlnxo0bJ8cff7x0795d3nzzTTl48KAZ5sTFxZlVOVqFM3/+fLn55ptLDXScXXXVVeZPbXsGAAAAAJVpvda7t4SUqCiRdu2t83n7k0K+/Vp8TKREFlXkpGfny8yZEvShjmJeHQAAAFRVlfcEdK6ZFK0fd6rKadu2rdx2221y4403Sq1atdy6Pnv5goKCqq4aAAAAgDATivPp2Nq0K5SlS6Ik/0CSVIsJ7fZrERHaYi5a0rLzZc36AtmxQyQ6WuSooyToQ51ffiHUAQAAgB9DHbvNWlRUlJx99tly5513yuDBgyt9fU2aNJHrrruuqqsFAAAAIAwtWBC6oU7Ltvm65yXGwepm6BHqkopCnVkzi5/TatUkqFGpAwAAAL+HOo0aNTLbqt1yyy3StGnTKq9Q165d5aOPPqry9QAAAAAIL1lZIitXhm6o07SVhjpxZvu1cKCVOmref5Eh0XpNEeoAAADA76HOli1bzCodAAAAAPCnZcu0jbNI3braAUBCToPmuRp1SPbeRNHO16FerJMYa+1nLp4fHXKhzubNIpmZIhVMOQsAAAAcwRryVAUEOgAAAAACbT6dUAw8ajXKEYkolIKcaNm+XcKiUqcwN0rWrw6dUEcDxzp1dD5akbVr/b02AAAACMtQBwAAAAACLdQJRblGvkTXyjTP223mQj3Uyd1ZUwoLIqRZMxEPdPsOCLRgAwAAQFUQ6gAAAAAICaEe6qTnFEhMnfSwCXWS4qIlZ3utkKnSsRHqAAAAoCoIdQAAAAAEPZ1LZ8kS63zv3hKS0rPzwyrUSYyLCslQp0MH6yehDgAAACrDak4MAAAAAEFs9WqRrCyRpCSRtm0lJGXkaKiTFTahTrXoaMnZUTPkQh0qdQAAAFAVVOoAAAAACJnWaz16iESG6F5Oek54Vepk7KkmhdmxEh1baD6voRbqaBBZWOjvtQEAAECwCdHdHQAAAADhJNTn0zk81NmzR2T/fglpO9Ykmj/rt8mQmBgJGa1aiXl/tLJs61Z/rw0AAACCDaEOAAAAgKC3YEHohzrafi0ytkBqN8gPi2qdzSuqmT/rtk6TUBIdLdKunXWeFmwAAABwF6EOAAAAgKBmGOFTqaOatQqPUGf98jjzZ/UWKRJqmFcHAAAAlUWoAwAAACCobd4scuiQ1dKqSxcJ6Uod1aptQciHOgcOiGzdYPVcq9b0kIQaQh0AAABUFqEOAAAAgKBmV+looBMbKyFfqdO2vRHyoc7s2dbP6NrpkheTI6Ea6qxe7e81AQAAQLAh1AEAAAAQEqFO794S0jJyrAqdjp1CP9SZOdP6GdfkoCPMCiVU6gAAAKCyCHUAAAAABLVwmE9H2eFGty4RjrZzGRkS2qFO44OOtnOhpEMH6+fOnSIpoTdlEAAAALyIUAcAAABAUAuHUMcwDEeo07xxtNStG7rtu/LzRebMKa7UycwtkMJCqzopVFSvLtK4ceg+hwAAAPAeQh0AAAAAQWvvXpHt20UiIkR69JCQlZNfKAVFwUZiXJR06iQh24JtyRKRzEyRGjUMiambbv4tM89qPRdKaMEGAACAyiDUAQAAABD0VTrt2okkJUnIcp5XJjE22hHqrFghIdt6rV8/kaiiPdZQbMFGqAMAAIDKINQBAAAAELQWLAj91msqPdsKNRJjoyQyMiKkK3XsUOe44yIkMS76iFArVBDqAAAAoDIIdQAAAAAErXCYT8c51LBDjvAIdUSSiu4vlToAAACAhVAHAAAAQNAKl1DHDjWS4kuGOuvWieTlScjQ+ZE2bxaJjBQ55pjiECsjJ/Tm1OnQITSfQwAAAHgXoQ4AAACAoJSWJrJ2bXhV6tiVK82aWXMI5edboUComDXL+tm9u0hystVuLlQrdZo2FUlIsAKdjRv9vTYAAAAIFoQ6AAAAAILS4sXFB8fr1ZPwaL8Wa4U6ERHF7btCqQWbc+s15ajUyQ29UEerkexqHVqwAQAAwFWEOgAAAACCUri0XnNuP2a3XwvVeXXKCnXsUCvUMK8OAAAA3EWoAwAAACAohVOok56TV6L9WiiGOllZIgsWlAx17Psbiu3XFKEOAAAA3EWoAwAAACAohVeoY1XqJMZZc8w4hzorVkhImD/fml+mYUORli2lxP2173+oIdQBAACAuwh1AAAAAASd3FyR5cvDJ9SxK1WS4mKOCHU0ECgslJBqvaZzBqnEojmEMsOgUscw/L02AAAACAaEOgAAAACCjgY6WtVRq5ZI8+YS8tKz7VCnuFKnTRuRmBirbdmWLRJy8+k4z6mTkRuaoU67dlaAdfCgyN69/l4bAAAABANCHQAAAABBx557Rat07KqOUJZeFGrYIYeKjrZCgVCYV0erVGbNKjvUCdX2a9WqFbeaowUbAAAAXEGoAwAAACDohNN8OiXbrxWHOqpz59AIdTZsENmzRyQ2VqR37+K/25VJ9v0P5RZsq1f7e00AAAAQDAh1AAAAAARtqOMcAIRH+7WSoY49r06whzp267U+fUTi4kqr1An9UIdKHQAAALiCUAcAAABAUCkoEFm8OLwqdexQw7n9WiiGOs6t15zvb2aIzqmjCHUAAADgDkIdAAAAAEFl3TqRjAyRhASR9u0lLGQUhRpJ8aWHOitWWPPShFyoE2vd34wQnVNHEeoAAADAHYQ6AAAAAIKy9Vr37iJR1pQrYdt+rUMHkYgIkYMHrTlpglFqqsjSpdb5fv1K/i+xaE6dcGi/tnGjSHa2v9cGAAAAgY5QBwAAAEBQhjrh0nrNuVLl8PZr1aqJtGwZ3C3Y5syxqoxatRJp1Kjk/+wQKyOEQ5169URq1bIeg7Vr/b02AAAACHSEOgAAAACCyqJF4RXq5OQXSG5BYamVOqEwr05ZrddKzqlTIIWFQdxfrhxaaUULNgAAALiKUAcAAABAUFm2rLj9Wjhwnk8mMfbIfnOdO4duqOMcYmXmhe68OtpGTxHqAAAAoCKEOgAAAACCxoEDIjt2lAwzQp3deiw+JlKioyJDqlKnoEBk9uyyQ5246EiJjJCQb8FGpQ4AAABcRagDAAAAIGgsX2791HlkkpMlLKQXhRmltV4L9lBnxQqR1FSRpCSRrl2P/H9ERISjBZv9OIQiQh0AAAC4ilAHAAAAQNC1XistAAj3UGf7disgCcbWa8ceKxJd+t1z3O9wqdQptKZPAgAAAEpFqAMAAAAgaIRzqGNXrByuZk2Rhg2Ds9KjvPl0bOFQqdO6tRVqZWZa4RwAAABQFkIdAAAAAEFj6dLwC3UyKgh1nKt1tJ1ZqIY6mTkFEqpiYkTatg3OYA4AAAC+RagDAAAAICgYRphW6mRboU6yC6FOMM2rs2ePyLp11vm+fcteLjE2yvyZkRu6lTqKeXUAAADgCkIdAAAAAEFh506RgwdFoqJEOnSQsFFR+7VgDXVmzbJ+dulitZAL5/ZrilAHAAAAriDUAQAAABAU7Cqddu1E4uMlbGQUtR0rL9Tp3Dn4Qh279Vq/fuUvl1R0v+02dKGKUAcAAACuINQBAAAAEBTCsfWac9ux5PiKK3U2bBDJzpagqtQpbz4dlRhntV9LD+E5dRShDgAAAFxBqAMAAAAgKIRrqJNWNKdOYmzZoU7DhiI1aogUFoqsXSsBT9dz4ULr/NFHl7+sXaGUGeKVOnZLwR07RNLS/L02AAAACFSEOgAAAACCKtTp1k3Cit12zK5YKU1ERHDNq7N5s0h6ukhMTMXzIyUWhVl2xVKo0nmFNJxTq1f7e20AAAAQqAh1AAAAAARFZcfy5eFZqWOHOuW1X1PBFOosXVo8F5AGO65U6oR6+zVFCzYAAACEfKhTUFAgy5Ytk48//ljuuece6devnyQkJEhERIR5uv76692+znXr1skjjzwiXbt2lRo1akhSUpJ06NBB7rrrLlm0aJFX7gcAAACAsm3aJJKZKRIXJ9KmjYSVNEeljmuhzooVEjShjitVV0lFFUp2uBXKCHUAAABQkfL3CoLApZdeKt9//73Hru+9996T+++/X7Kyskr8fc2aNebp3XffleHDh5snAAAAAL5tvaaVHVFldyEL8fZroVOps2SJ66FOcaUOoQ4AAAAQHQqVOs5q164tderUkbWVmB30s88+k9tuu808HxkZKZdffrmcfPLJEh0dLTNmzJBx48ZJTk6OjBgxQuLi4uTRRx/12P0AAAAAUHGoE26t10q0X6sg1NHAS61Zo/tJgR1+uVOpY4c6VOoAAAAAIRDqHHPMMdKpUyfp06ePeWrVqpXZiu2GG25w63r27t1rtlezA50ffvhBzj33XMf/r732WvM6NeTJzMyUoUOHyvnnn2+2ZQMAAADgXeEc6qS7WKnTooVIfLxIdrbIxo0ibdtKQNL10+BJde9e8fKJsdb9zswN/Tl17N1LHaOYny8SHfR77AAAAPC0oJ9T5/HHH5fRo0fLxRdfbAY6lfXiiy9KamqqeV7DHedAx9a3b1956qmnzPP5+fkycuTIKqw5AAAAAHcrO8I51EmqINTRyhw7FAjkFmy6blpJVKuWSOPGFS+fWDSnTji0X2ve3ArmcnOteaQAAACAkAt1PGX8+PGO8w888ECZy91yyy2SmJhonp84ceIRc+8AAAAA8Cw9wG23owq3UCe/oFCy8wpdCnWCZV4d59ZrEREVL58URu3XIiOLgzlasAEAAKA0hDoismLFCtm8ebN5Xlu5lVfxk5ycLP379zfPZ2RkyNSpU322ngAAAEA4sltRJSeLNGsmYSUjp7jlWEXt15xDr0WLJOBDHVdarznfb22/VlhoSKhjXh0AAACUh1DH3Kko2qsQkaOPPrrC5Z2Xcb4sAAAAAO/Op+NKZUcoSc+1qlNioyIlNrri3bejjrJ+zp0rQVGp4wrnCqWMoscjlBHqAAAAoDyEOiKyevVqx3lX5uVxXsb5sgAAAAC8G+qEG7vlWFJ8xVU6zqHOunUiBw9KQFqyxL1QJy46UiKLwjyt1gl1hDoAAAAoD6GOiBw6dMhxvm7duhUuX6dOnVIvW5qcnBxJTU0tcQIAAADgunAOddKyrVAnMS7KpeV1V6V1a+v8/PkScPbvF9m5073nMyIiwtGCLT0M5tUh1AEAAEB5CHV0xyA93XE+Pj6+wuWrVavmOJ+WllbusqNHj5YaNWo4Ts3CrQk4AAAA4KFQx9XKjlCs1EmMda1SJ9BbsNmt17T5gc6R5Cq7BZv9eISy9u2LA7B9+/y9NgAAAAg0hDpeNmTIEElJSXGctm7d6u9VAgAAAIJGZqbI+vXhW6ljhxjJLrZfU/YUoPPmSdDPp2MLp0qdhASRFi2s81TrAAAA4HCEOjrqKynJcT47O7vC5bOyshznkysYXhYXFyfVq1cvcQIAAADgmpUrRQxDpH59kXr1JOyk2ZU6RaGGO6FOIFbquDufjs2+/xk5oT+njnMLthUr/L0mAAAACDSEOiJSs2ZNx/l9LtS379c6+FIuCwAAAMCzwnk+nRLt19wIdXr31nloRLRJwO7dEpCVOt27u3e5pKI5hTJzQ79SR/XoYf1cuNDfawIAAIBAQ6gjIh06dHCc37hxY4XLOy/jfFkAAAAAnkWoU9R+zY1QR5sJ2JUegdSCrbCw8vMjJcSGT/s153mRAun5AwAAQGAg1DF3KIr3KOa60KPAeZmu4bp3CQAAAPiwsiNcN7sr034tUFuw6di4jAxtUS3Srp17l01ytF8Lr1Bn8WKRnBx/rw0AAAACCaGOiHTu3FmaN29unl+5cqVs2rSpzGXT09Nl+vTp5vmEhAQZOHCgz9YTAAAACDdU6lQu1LFDgUAKdeyArlMnkWj37o4kFrVfSw+TOXVathSpXVskL6/4PQAAAAAoQp0il112meP8yy+/XOZy7733nmTo8DIROffcc81gBwAAAIDnHTwosn27db5LFwlLGUUhhjvt15wrdbR9l2FIUM+n4xxqhUuljs6JFIjBHAAAAPyPUKfIww8/LMnafFpExowZIxMnTjximTlz5siwYcPM89HR0TJixAifrycAAAAQLpYvt35qUX316hKW0rIrV6nTo4dVDbNnj8jWrRJQoY678+mopKI5dTJzwyPUUcyrAwAAgNK4WfQeeDZu3Cgffvhhib8tWbLEcX7hwoUydOjQEv8/6aSTzJOz+vXryxtvvCHXX3+9FBYWygUXXCCXX365DB48WKKiomTGjBkybtw4yc7ONpcfOXKkdLRnHwUAAADgceHeeq1k+zWr/ZirqlWzHrdFi6xKj6Ju035l76ZVJtRJKAq1wqX9miLUAQAAQEiGOps3b5ann366zP9rwOMc8thVNoeHOuq6666TzMxMefDBB83w5osvvjBPzjTgeeKJJ+Txxx/34L0AAAAAcDhCHZGMosqU5Hj3d920BZuGOhoKXHSR+FVWlsjatVWo1CkKtcKl/ZpzCz19H+jjp0EdAAAAQPu1w9xxxx1mCKTBTufOnc2WbImJidKuXTu5/fbbZe7cuWaVDgAAAADvItQRSbfbrxW1H6tMKBAIc7KsXClSWChSp45Io0buX95uP5ceRqFOkyYiDRqIFBSILF7s77UBAABAoAj6Sp0TTzxRDA/P/KkBzksvvWSeAMBjnnpKROfi0mC4aH4uAABQOt3Et0OdylR2hAo7xHB3Tp3D23dpoBIZGRjz6UREuH95+/6HU6WOPk76HP7yi/Uc9u3r7zUCAABAIKBSBwB8FegMH24dodKf+jsAACjT7t0i+/dbQUQ4T2VphxiVab+mFU7x8SIpKSLr10vQzqejkopCnczc8JlTRzGvDgAAAA5HqAMAvgp0nBHsAABQLrtKp107K5gIR4WFhmQUhRiVqdSJiRHp2TMwWrDZlTrdu1fu8gmxUWHXfk0R6gAAAOBwhDoA4OtAx0awAwBAmZhPRyQjN/+ISpXKhgKBEupUtVInnNqvqT59iuckSk/399oAAAAgEBDqAIA/Ah0bwQ4AAOWGAGEd6uRYVTrRkRESF125Xbejj/Z/pcfevSK7dlnnu3Sp3HUkOrVf0wqmcNGokUiTJtacSIsW+XttAAAAEAgIdQDAX4FOoAY7ui46gUEgrRMAIOxQqaOtxvIcgUZERESVQp0FC0Ty8/0b0LVuLZKUVLnrcK5Ucq5gCge0YAMAAIAzQh0A8IYRI7y7vLfDKMMIvLAJABA2tCph+XLrfHiHOgVVar2m2re3gpTMTKuFVzDOp6O0UikqMqJEBVO4INQBAACAM0IdAPCGkSO9u7yvqosIdgAAfrB5s0hGhkhsrEjbthK27PljqhLqREUVz8vir1CgqvPpKK1USoiNMs9TqQMAAIBwRqgDAN4wbJjIqFGuLavL6fKB2i6OYAcA4KfWa506iURXPs8IeulFoU5inBVmVJbdgm3uXPGLJUuqHuo4h1t22BUu7FBu9WqR1FR/rw0AAAD8jVAHAPwZ7AR6oGMj2AEA+BDz6VjSs+1QJ9ojlR7+CHWcW+lVNdSxHwc77AoX9eqJtGhRPDcSAAAAwhuhDgB40eY7H5SXTrgquAMdG8EOAMBHCHWkRJux5Phoj1TqLF4skpMjPrVhgzWfT3x81Vvp2aFOuM2po2jBBgAAABuhDgB40U+Ld8gbx18h3553a4m/r7nrEf8HOmrECO8uDwBAFUKdqlZ2hEz7tdiqhTqtWonUri2Sl1c8v42v2LfXuXPVW+klFbWhC7f2a4pQBwAAADZCHQDwEsMwZMKiHdb5oUPNyhwjIsKs3Bk76GoJCCNHend5AADcpMHDqlXW+XCv1PFU+7WICP+1YPPUfDoqoSjcsiuYwgmhDgAAAGyEOgDgJSt3psm6PekSGx0pp3VtaFbmTFu126zcmbpmrxn6BMW8P4HULg4AEPLWrRPJzRVJShJp3lzCml2RUtX2a84t2HwdCtiVOt27V/26khzt18Iv1OnTx/q5fr3IwYP+XhsAAAD4E6EOAHjJj4u3mz9P6lBfqsfHmOePbVVb4qIjZWdKtqzdky4BwZVgh0AHAOCH+XS0wiScpRfNHVPVSh3nUMfXlTp2qOOJSp3EovZr9uMSTmrVEmnTxjo/f76/1wYAAAD+RKgDAF5QWGjIT0Wt187r2djx9/iYKDm2dR3z/LQ1eyVglBfsEOgAAPwU6oS79Jw8j4U6dvuu5ctFMjLEJzIzRdau9WSoE76VOooWbH701FMikZHWTwAAAD8j1AEAL5i/5aDsSMmW5LhoGdSxfon/DWxfz/ypLdgCScETQ+WNE68p8be/Lr+LQAcA4JfKDkIdDS+sihTdnqiqJk1EGjXSgSciixaJT6xYoXMMitStK9KgQdWvL8meU4dQB76kQc7w4daLWX8S7AAAAD8j1AEAL/hxkdV6TefS0eqc0kKdORsPSFZu4LQPWbUrVV469jJ588RrxIiIkJdOuEpePPZSf68WACDMUKlTLL0ovPBEpY4/WrA5z6fjiVZ6CXalTgBtP/mSv+ZFCmt2oOOMYAcAAPgZoQ4AeFheQaH8smTnEa3XbG3qJUqTmtUkN79QZm/cL4Fi3iZr1t05V98lew9lyhvHXyFrdqdJWrbV+gUAAG/LyhJZt846T6jjHOqUHCBS1UoPX4c6nmi9ppKKHodwrdTp1csKxzZvFtkbWAXf4RPo2Ah2AACAHxHqAICH/bt2nxzMzJO6SbHSr2j+HGcREREywG7Btjpw9sjnbbZCnaNa1Jb61eOlaa1qUmiILN6a4u9VAwCEiZUri9t11S/ZvTQs2eFFclxMUFZ6LFni2VDHrliyw65wU726SIcO1nmqdfwY6NgIdgAAgJ8Q6gCAh01cvMP8eXb3xhIdVfrHrN2CbVoAzaszf9MB8+fRLWuZP3s3t34u2GKFPQAA+LL1mifadQU7b1XqrFkjcuiQBF2ljh3qhGuljmJenQAJdGwEOwAAwA8IdQDAg3SOnN+X7zLPn1tK6zXbcW3rSFRkhGzYlyFbD2T6cA1Lt/1QluxIyTbXqWfzmubf+rQg1AEA+Bbz6RQzDMMRXiR5aE4drYBq2dI6P3++eNXu3SJ79ljhXJcunrlO+3Eg1CHU8aoRI7y7PAAAQBUR6gCAB/21crdk5hZIs9rVpFczKxwpTfX4GOlTVAkzNQCqdeYVVel0blRdEmKjS1bqbD4ohdqHDQAALyPUKZaVV2C2QXWuUAmmFmx2lU6bNiKJiZ65zsSibZSM3AIJV4Q6PjBypHeXB1A1Wh0XGUmVHICwRqgDAB704yKr9dq5PRqbc+eUZ2CHegET6sy359Mpar2mOjZKlviYSEnNzpcN+9L9uHYAgHALdTzVrisUWq/p5kRCrGfarzmHOnPnSlC1XnNuQxfOlTo9e1rHMnfssE7wgmHDREaNcm1ZXU6XB+Db9og6AR/tDwGEMUIdAPCQQ5m5MnXNHvP8eT2bVLj8gHZWqDNr/X7JzS8Uf5q3qSjUaVHb8beYqEjp0bRmidAHAABvSUkR2brVOu+pdl3BLD27qPVabHSFA0UqU+nhq1Cne3fPXaddsaRV0eFaRaxVT507+6aFXlhzJdgh0AH8P98VwQ6AMEWoAwAe8tuyXZJXYEjHhsnSvkFyhct3aVxd6iTGmiNx/TlvTVp2nqzalXpEpY7qbc+rs9kHsykDAMLa8uXWz2bNRGrU8Pfa+F9GToHHW6+pPn2s6p8tW6w5b4KpUsd5bqGM3PCt1qEFm28UPjFUPjz1htL/SaAD+D/QsRHsAAhDhDoA4OHWa65U6ajIyAgZ0N7/LdgWbjlk9uzXeYAaVI8v8T973p/5fgydAADhgfl0Sm+/lhTv2VCnenWRDh28GwoUFHinlV5cdKRERUaUCL3CEaGOb0xft0+e6nWRvHniNSX+/uqAqyXlocf8tl5A2Ckv0LER7AAIM4Q6AOABu1KyZfbG/eb5c3o0cvlyA9rXNX9O82OoM2/zka3XbL2aW+3X1u1Jl5TMPJ+vG4IMk5YC8EBlB6FOyVDH05U6vmjBtn69SHa2SLVqIm3aeO56tQ1dYtH8QlTqWKGOTisB7/h01mbz5/4HHzUrc4yICBl3+o3yar/L5ZelO/29ekB4cCXQsRHsAAgjhDoA4AE/L9lh7lQf1aKWNK2V4PLl+hfNq7N8R6rsScsWf5i36YD5s09RqzVndZLipGUd6/4s3Eq1DsrBpKUAqohKnZIy7EqdOCvE8KSjj/ZupYcd0OncSFEeXn075LIfn3Ck8xRFR1vt87Zt8/fahKZtBzNl8qrd5vmr+7YwW61FFBZK9mOPm3/7bgEPPOATI0Z4d3kACFKEOgDg0dZrjd26XN2kOOnWxJo4YPqafeJr+QWFsmjroVLn0zlyXh1CHZSBSUsBVJHmwVTqlNF+zQuVOnaoo5U63qj08MZ8OoeHOvbjE460Asp+n9CCzTu+/G+L2Z74+LZ1pE29JMffz+/VRLQD4PzNB2XTvgy/riMQFkaO9O7yABCkCHUAoIo27E2XpdtTzB7vZ3ZzvfXaES3Y1vq+BdvKnWmSmVsgyfHR0r5+cqnL9C6aV2fBFiv8AUpg0lIAHqAVB/v3a3stkU6d/L02od9+rUcPq4Jm926R7ds9fvWyZIn3Q51wnlNHMa+O9+TkF8j4uVvN89dolY4TnX/yhKJK++8XeuHNA6CkYcPM9ocu0eV0eQAIA4Q6AFBFExdbVTontK1rtitz18D29R3z6hTokEAfmuvUei2yaOLhw9lt2RZuOejz9UOAY9JSAB5uvda2rVWFAOf2a54PdRISiis9vDGvjl2po23CPM1uRxfO7dcUoY73/LZsl+xLz5UG1ePklE4Njvj/Rb2bmD+/X7BNCtk2BgIj2CHQARBmCHUAoAoMw5CJlWy9ZuvVvKYkx0XLwcw8WbY9RXxJW0conQuoLO0bJJsHlDJyC2TN7jQfrh0CGpOWAvAg5tPxbfu1w1uweVJGhsj69V6s1Iml/drhoY43WuiFs89mbzZ/XnFMc4mOOvKQyamdG5rvy20HsxwDpFAJum0YGck2IlxS8MRQee+U60v/J4EOgDBEqAMAVbBse6ps2JchcdGRcmqXhpW6jpioSDmubR1HtY4vA6l5m60d0aNa1i5zOW0r16NZjRIhEMCkpQA8iVDnSOnZ3mu/5s1Kj+XLrZChfn3r5Gn245GZG96hjr5XYmNFDhwQ2bTJ32sTOlbtSpW5mw6a278a6pSmWmyUnNnN2u7/bsE2H69hiA0O0g8LBv/ABbPW75dn+lwsYwZdW+Lvhs6hQ6ADIAwR6gAICPn5wTnK8MdFVi/tUzo3qNJIWrsF21Qfhjo6unB3ao5Ea2jTtGa5y/ZxzKtDqIMiTFoKwIMIdY6UkeubSh1PV3rYrde8UaWjEovar6WH+Zw6cXHF7e1oweb5Kp3TujQw588py4W9m5o/f126S7Jyw/u16JFqb4IdVMAOUHfe+7DkP/mkFEqEvHTCVbL5zof8vWoA4BeEOgD8ZuNGkddeEznpJJH4eJHLLhPJyZGgofPL/LTEar12bo/KtV6zDWhf1/y5cOshScnKE1+wq3S6NKlhjjgsTy/HvDqHfLJuCAJMWgrAQzRQsEMdbwUBwcgOLbwV6miApsHAwYPF7dICfT4d50qdcJ9TRzGvjmelZefJDwusAVtX921R7rLHtKwtTWtVM9sA/rFil4/WMMTb9xLslER7uhLvzUnLdprnL+rdVKJHjJCLxkyXN46/gkGHAMIWoQ4Anx600Z1OPbarO/qtW4vcf7/IlCkiBQUi33wjcv75IllZEhT+23jArHRJjo+WEzvUq9J1Na2VIG3qJZpB0cx1+8QX5m2yNoCPLmc+HVvvZtYyG/dlyP70IEre4F1MWgrAA7ZsEUlPt1pJtW3r77UJDPpdu2JHqnm+ZkKMV25DH+8ePTwfCni7Uicp1vehTnZegVw39j8ZNqEofQwQhDqeNWHhdnMOSd0m79faao1clsjICLmwVxPz/HdFQRA8MB8jwY6F9nQlTFq6S7LzCs33Zs9mVoeJ3kWdJBh0CCBcEeoA8CqtvPntN5E77hBp2tRq9fG//1k7/FFRIieeKPLyyyJffimSkGAte9ZZ1sGdQDdxsbUDd2bXRhIXXX6lSyC2YLPnxzmqZcWhTo2EGGlbP8k8z4YzShg2TGZee2/p/yPQAYKPH0YG21U6HTuKxHgnvwgqOsDjvq8Wyb70HGldL1GOa2NV83qzBdvcuZ65Pj3+uGSJt9uvWaGOVkj4yj+r95rbZ5/O3izr9gTORqr9/M2fL1JY6IErDOPKAJ1rUp9fdU3fFhIREVHhZewWbP+u3Su7U7O9vo4hH+jYwj3EoD3dEb4tar12UZ+mjvemHepQqQMgXBHqAPA4bePx+ecil14qUq+eyBlniLzzjsiOHSKJiSIXXSTyySciu3dbVToPPCBy+eVWoJOcbP3t1FNFUlIkYOXmF5o9tNV5PavWes02sKjaRw8a6I6lN2mLt9W708zzfVrUdukyvZtbo6LmO2046wGENWtEvvpK5P/+z6q0evRRkZ9/tl4HCA8v973M7GntbP+jTxDoAMHGTyOD7coO5tOxvPb3Wvl33T6pFhMl71zdp8IWqYEU6ui23b59InrMrXNn8eqcOpk+nMfk9+W7jpjXIRDoY6wtjHWbucot9MK8MkAr8NfsTjffdxf2scKairSsmyh9WtSSQsOq8vGoUAvYRozw7vKhgvZ0R9h6INN8f+r3ygVF1XGqV9G+6apdaZJZNAcdAIQTQh0AHrF9u8ibb1rz42iQc/XVVju1tDSRRo1EbrtN5NdfrR39b78VueYakTqHdTXo31/kr79EatYUmTVL5OSTRfbvl4A0bc1eMxipnxwnx1bQnsFVx7aqLXHRkbIzJdvro0B1RJPus7eokyD1kuNcukzPJrUkd2+SfD8+ymybN2CASI0aIh06iFxxhcgLL4j8+KPI88+LnHOO9fxqW5e77xYZP94K9RCaPa51LijtaZ0yZJgYRZOWTjj7Jn+vGhAeB8pCYGSwXalDqKMVIXvkjclrzfOjL+wm7Rsk+6R914IFVitcTwV07dpZFdihUKmjA3n+Wrnb8fv3C7aZ1VSBIDpapFcvD7RgozLAUaVzfq8mUj3e9ZJBnd/DDvs8NigrFAO2kSO9u3woCNb2dF7errKD9BPa1pVGNao5/t64ZjVpWD3e/Dxesi2AR4MCgJcQ6gCotE2brNZpxx1ntVa7557i+XH0wMwTT4j895/Itm1WpY5W7OhowvIcc4x1HXXrWq0kBg2yRn0G2kZr9ghrR+Ps7o0lKrLi9gyuiI+JcgRE3m7BNr9oPp2jyqjS0bZ5eoDngw9E7rxTpG9fkRtPaiY7xw6U/z5uJ6+9JjJ9utUmT5/TY4+1Wuy98orITTeJtG9f3IJlzBirEqtJE2uuhBtuEBk7VmTtWmsZBPcBaB05pztTGhDWeGaUfDB1nRnwaPAJBJxQPFAWAiODCXUs2w9lyf3jF5kvz6v7NjcPLnubtrzTKuqMDJFVqwJ/Ph3nUMdXc+rM2rBf0rLzpW5SnDm/kc6nOMNH8x/6ZF4dKgNkT1q2/LbMqsbS9547zurWSGKjI80qn+VF82BVSZAGbBVu07syD2M4t+8N1vZ0Xt6uKiw0HKGOHaA6s6t1aMEGIBwR6iBs6Uiq/AJPNJ8OL9pqa/RoaweyVSuRhx6yqmqUhjsvvWS1f9Cdep07R9t66PFod/TsKTJ1qlXho9czcKBVCRRIG61nf/u23DPjS4+1XrMNbF/cgs2b5m0+UOp8Oro9PnSoSPXqIn36iNxyi8jbb4vMmSOSkx0hkbH5Etd0v1x1U46MG2c9P1qNNXu2yFtviVnBo0HQ6tUiO3da1Vr33ms9p1oyr6+Njz8uDn4aN7ba9L3xhhUi5VM5H3QHoLVFkDq+rTXnQ//21s85G/ebE0sDASNID5R5PQz288hg/dxfudI6H86hTk5+gdz5+QI5lJkn3ZvWkGFne6l32WF0fkP9vvdUCzZvz6ejknwc6tgH+0/r0kDO6d444FqwVSnUCdbKAA/7eu5WyS80zFbDXRrXcOuyOu/k4E4NPPO6CMKALStL5MILrYFbFb4GXQl2Qi3QcfX7OBjb0/lgu2rupgOy9UCW+bl/WpeGR/zfnleHOV8BhCNCHYRtoHPJO7NkwPNTZOO+DJ+NAHv977WyMyVLgokeS9YRtFoB37271Wrr8cetKhrdPj3xROuAvFbjzJgh8uCDIq1be6ZH+LRpIs2bWwGBtvrSyqBA2mh96N/PpftHr3v0ZgY6DogfkCwv9YrPKyiURVutDd+jWhSHOlphdfvtIk8/LZKbK1K7tsgpp1hz5eicOfo8XDVmgTS8arYMvnGnXHutdQBOW3+UpmFDkYsvFrOqZ+FCa44dbcE3ZIjI8ceLxMaK7NpVHPzoQSVt56avKV1m4kSRPXskfAXJAWh7tLK2RFAdGiRLg+pxkp1XKPOKKsIQ+BVXIS8ID5T5Igwu1INnfh4ZvG6d9Z2j1SItWkjYeuaXlbJ46yGpUS1GxlzZW+KivTePjscrPUqp1NFtRm9JjLXbr3l/4IBWov65wgp1Tu/aUC4ummtF59hJzc6TQGA/f7pt7lYLvWCtDPAwHeT3xZwt5vlr+lXuQ+iiPlZV3cRFO8zt7EoJwoBNP7t1W/+HH0Q2bLDacGslf7mGDZNtDwwJn0DHhe/jhVsOyi8X3x5c7el8tF1lB6VaEVfa/HK9W9R0PIbenpMWwJG0Fe4387YymNNPCHUQlpZuT5F5mw/KjpRsuXbsHNmbluPV2zuYkStXvj9HXv5zjQybsFwCnW4PadWEtk/Tthw62vLJJ60ddT2Af+qpIu++a1ViaKs0nTNFW2t5mo740mBHQyLdUdBgR1t2BdJGa4SOkvLgzlWbeknSpGY1s3/77I3emVBIW0PoAXdtIaK3p/LyrHmO3nvPOu6s1TY6/9Gff4o895zIZZdZlTV9iip75m92/2C9Bjbagu+ZZ0T+/dea1FcrsrSiS19T+v/MTOtvzz4rct55Ig0aWK8DnaNJ27iFTTVPkByA3p2abbYb0SqsfkWtAyMiIqR/O6vibNpaWrAFS8VVSAvCA2XeDIP3p+fIDwu3yX1fLRQZ8aTfRwbbrde6dHG/sjdUTFy8Q8bNsubzeOWyHtKstpcmoymDVlV7olJHv59XrPBF+zXrwJ4vJsbW7Z196blSPT5a+rauY1ZRta2fZG5H/bpkpwQCHXBlt9DTATguC8bKAC+YvGqPuU9YOzFWzujaqFLXods9dZNiZX9GbuXazwZhwKbv9yuvtAZsVatmfY5o9f5pp4n8/nv5lx138tXm/IvOXhtwteQMeVxCZpBNBd/Huq83YeF2OW/MDLngrZlyV+uzjnhMyuTv8MtH21X6Gf/rUitUv6goUD+cVtbFREWYn9Na0QPAt4ZNWCaPfLtE3pqyzt+rEpbCdNcJ4W5SURsFpV/+N3z8n9cmW9Xrvf7juY6J7/9etdtn1UGVoSP89MCKVk3owXdtt6YVFWefLfLRR9b8NrqhfuutIvXre399dNSuBjsaLm3dagU79gGDUDwYqAfEB9gt2FZ754D4vE1W67U+zWtJZGSEZGeLXHSRyJdfWqGdVuVoezQ9UH+4PkWVPZ7oW6xz8ejzqeGhvqYOHLAO7r3/vnX7Wq2ltGXb559b4WFp1TxaARRSgugAtF2l07VxDamVGOv4u/0aZl6d4Km4CllBeKDMW2HwzOvuMw8eHfX0X/LA+MXy46Id8soJV/p9ZHC4z6ezbk+aPPad1bPs7kFt5aSOVhsnf4Q6ixZZI++rUnWl2xQJCZ6p2q5oTp3M3AJzvgVftF47pXMDiYmKNLfT7HkdAqUFm7bQ6927EtVWTFxv+nS2FaheelQzc37LytDXxnk9m1T+dRFkAVthociNN4p89521nzhhgjUoSwdvaTu2c84R+f770i+r1RR/rthtzr+45q5HxIiIkLdPuk5e6Xe5LPJ2Cy1fDbKp6Pv4+vvk+Ocmm3OoaYVmbFSk+bly6pdjAr89nQ+3q7QiUo+lNK+dIEcf1jLcpu/ZzkUtExduDbWdQiCw7UrJlp8W7zDP/748kCbCDh+EOgg7uiE5aak1su6hwe3NUVnLtqfKHZ/NN0fMeLo/+u2fzjc31rQqokezmuY25EczNkqg0h1DrYzQEVfaH1kPpu/dK/LTTyLXX2+15PI1rQLSHQVt5aHtunSOHW3nFaoHA+0WbN6qcrBbYmnVTXq6yFlnWc+vhiw//ihyySVlX7ZHsxpm2LPtYJbsSc326HrpoDkNFG++2aoUWr7cCmx++83ad9WRf6VV87RsKTJ+vISGIDsAbc+nc0I76zVr69+2rvk6WbUrzazmCVtBUnEV0oLsQJk3PzuO++R1GfDV2+Z2SKdG1eWOE9tI/09el4InXTtQmzN8hFcOJIVzqKNzwtz+2QIznDiuTR15YHB7v6yHBjC1almBjv18VKX1mrerruw5dVSGF6t1dJ9BDyqq053mcrigVxOJjNC5Hg7K5v2BMVCrUi303Ji4fuHND4ihky6GGB1oN33tPnOb5apjm1fpui7sbYU6f63YIymZbrbm82DAlpMj8uqrxXOeepp+h9x5p8inn1r7jV9/bVXc676jhjvajk07AOicmbrM4XSg46b9mWaQ0filZySisFCW33Sv+b9ZG7zTpcCng2xc+T4e97pc/tvHUj85zjweMXPISfLSpT2kW9Ma5b4vdz30uP/b0/lwu+q7+dsd7y0N1MvSq5nVgm1BJTpJAKi8cbM2mfPRqdW702TrgUx/r1LYIdRB2Fm5M83akIyOlBtOaCVjrz9aqsVEmRv0OlLSU71YtQf3A+MXmQc9E2Kj5OMbjpH/O62D+b9v5m1zf2Pfh9580wpydPSVltVXr+7vNbKqgrTVm+60alsw7dk8Z05oHgw8rm1diYqMkA17Mzz+xaivb209qDrUqiODB4tMniySlGSFJ2eeWf7lk+NjzDlTPFWtU5GaNa0wR9v/6fppNY+GPRr6aDVPmzYiqakil18ucsstVuAT1ILoALS+lg6fT8emVTvdm9QI72qdIKq4CmnhMBLd6bWWJkkyS/rKu3KrDJWn5AO5SWbIcbJfajvmglsW/Z9Muq+/PHp6RzmmVW2JGjG8wgO72hLmrBqDPFpprJ/dY8daIX04hjr6GTrk+6XmAU6dh+z1K3qZ3/3+oMfK7FCgKi3YfDGfjoqLjnQ8VhlenFdHB31tP5Rl7ifYFaiqYY14OaGozeh3C6yDjv5W6XmRXAh29P1/QZ2T5aZx88z2jaXR3adgnM7i86IqnUEd6le57WHnRtWlY8NkyS0olJ+WWCOXvRGwVVSpof9+4AFr/krdTPRk22J9jh96yGrDrZ8bGtroACubVu1o5b8OBNTuDzr/5ttvl7yOP1ZYo7mPa1vHEdD2a2O18J21fn9wD7JxY3CWfh/Pyp8p95zcTuomxZX857Bhsvv/XpLHZLSskzaO9+Fdbc7y/7wxPtqu2nEoS2ast/Yz7OrIsvQu6iSxsGjOWADep+0R7fnokos+y6esDucJkf2DUAdhZ9Iyq0pnYPt65oZkz2Y15a2re5s7h98v3C7P/eZOM+rS6cbW0AlLzR6wOgrpvWuOMm9HR2Hqxn5WXoF88Z/1AehNujGkO6Puat7c6s0daLRK6K+/rJ2UQ4dETjnFas0WagcDq8fHmK3R1FQPHxDfciBT9qXnSGR2vDx4bU2ZPdsanfv331YFlCvsDefKzKtTVTryV9uyaaCjwc6qVVb7Nt2x1N+1hUxVRhn7XRAdgF6/N112p+aYB9fstnzOiufVsXbIwkqQVVyFtGHDJF9TYRd8c+4tsu62+yUYaOsbbXWl7W2eHF4oF8j30kbWSXVJk+Nkltwu78rTMlRukQ/kBJkhdWW/1JfdMkCmykNPNzFHcWtQvnmzdV0VjQz+5owbzPDhvDf/lX+qsMOmB/m03eZVV4k0bGh9lutAjeRkq71mOPls9mZzLh3d/nzzyt5HHtTzMU/Mq2OHOt6cT0fpiO3EogmzvdU+2XmfYVDHeke05bqoqCrju/nbvN4Czp1QRyvZ3T2Iv/GOB8ucy8MYOVLqPPuUORju75V75KSn5sjrnx0yt7kefdSq6tfnW/cbtGWy/l3f58EgK7dAvplvtUq7pm+LKl+fc2u+7yvRgi13yBPy3fm3VinQ0c/0l16yzuuxf11cB8Jt81CnQA2JXnnFOq/P9RVXHLmMtnL+8EORe+6xfteqnuefPzLUGdy5uNWkPS/jwi2HPD/Zti8H2bg52CpqZOnbJ1rpdMH0B+U5eUwulO/lwKNPygcnXm3ue+n3hl95MIAszw8Lt5uv4WNb1a4wcO3d3KrUWWHOGxskH0CBNP8TUAk6qCUlK89sj3jHICt81u0E+BahDsJ2Pp0zuxW3UdDRWc9eaO2BvjN1vXxcxfZoz/++Wr78b6vZmuG1y3s6WhPpxv5NJ7Qyz4+buUnyCjzb7s3Z3rQcOf3VaXLqy1MDpjWEJ2j7LT0QpTso2jrs9NOtiiJPjkLz9UZraQbYLdg8HOpo67X81HjZ++VxsmRJhDRoYI2SPuYY16+jd1HgtMDbfa9doDuO//ufyJ9/WgcIdb4lPTClIwg9PZBND3xqWwmdT8qtiYiD5DXnrn+LwpqjW9YutQe9Par537V7A+KAV9BWXLFDV+XvwsvqD65w8mGdoPmRTufJ6a9Ol2d+XenVA8Xu0kEM06eLjBkjctttIv36WRW07dpZ86GNlBEyQS6QDUWjeRvLdjldJslt8o6cKr9LM7EGkeyV+jJdBsh7cqs5ilvnPtD2lRqo6HwcV64cJk+dNEW+lYtktbSXAt1NGDVKGr74tEy853gzvE3NzpcbP54r705d79ZoYQ3bH3lEpFkz63v7iy+seRd0vjydv2/lSt+1d92Tli0/LPRvxfSirYdk1M/WBIFDzuhofo4GbaWHkyVLfBPqlJxXxzvvVX192/PpnObUes2mf9ORqTp4as5Ga65Cf9LWyfq5oHMauTv35Fdzt5jzm3x//q2i7+pd0kCmywky9vwf5fGs4fLzK60k8odTZdurp8uS5wfIfdfUNKuj9UD9Dz9Y7299P+vcl/r3nj2t8DbQaTWNHpBqWqtaiUqsqjivZ2Nz/0+3kd2pbNTtpIe/WSwPdThXXh94TanLHHh0aIXbfTrfpLZf04Fa2kJbP9/1+6NHD2seyqp47rniTZE33rDm1CmLbra89prI449bv2sAqN37dP4FbUuuBncqDnVa1U00Kxa1ysmjnQB8PcjGQ4OzdMCa3T5vqXSXD2qPkLuKDpqO/nWV1z73XDZsmGQNG+G1/RT9/NXAXF3Up/wqHdWkZjWplxxntoFasi1FQoKv5n/yN/ZzgpJ+Z330r3XM9IbjWzo+z7XaUlsLw3cIdRBW1u5OM0eaxkRFyMlOG5LqkqOaycOnWr3MR/68Qn5ZYo3Oc9d709bL2/+sN88/c0E3OaNboxL/P7dnY3M05q7UbPm1aG4fb3hz8lrz4EtGboE88u2SkDqoqq3Cfv65eDJO7d2sB/S11F8PunuyBZf2D//z8rt8fnB9YPv65s+Z6/d7dK6nP2eny67P+0n6nmpmRZbu6Ll78MWuyli6PcWcNyoQnHyyyOLF1sFCPaBx++0il11mHQz1RJjzzTcivXqJXHCByPvvi5x/vvdave2+7xF5+6Rry11m/6NP+L2ntj2fzvGHtV6z9Wpe06yGPJiZJ8t2hMgOlpd26nc9OCRsd+j0rul7zBvdRJZtTzErS3Rk68cnXyMb73209AVHjZILvn9XTulU3zwg8N60DXLyS/+Yo2F93eZER7jrZ5m2q9G2NRrcaDXlgAEid98t8t57YlZYZmRY86D17FUoXU48IOe1+lQmyyDZK3VluzSVSXKmvCN3yO9yumyRFmZbtnnSRz676AfzYJGGQVr1GBNjfZbp6H5tmTN88olyiXwrHWW1VI/JkmN/HmYGSd9+Gi93dz5Wzu/SQnRzYvSkVeYEz+WNiN2925rXQQMj/Z558UWRnTtF6tSx7st//1kHn/UgpM6d501m69FNB+SeLxfK8c9OlgfGL5YrP5jtlx3Pgxm5ctfnCySvwJDTujRwDPbxN7tSRw/QV+b7TQfabNjg+1DHWwGs7i9s2JdhVtyf1NHaJnOmgxnO7mFt439XiaoMT9NjYna1mzvBnG5j2gdP154zWlrVPCiNZJcMkOly04RzzfkLdfDU6hVRUpgbJRGRhkTXzJD4VnukRf/tMuzpbJk0yRrsohUc+nmlryHdHtOTXb0VqNVy6qpjW3is9WH96vGOgMjVah39fHryp+Xmd47uo3Z/98UjBvjowIR3B1xZ7vXod4N+jmv1uj4X2kJ7wQLrdaHti7VN2n33WaGPuzTEeewx67y+JvQzvCK6Hk8/LTJ6tPW7nr/u1lzz+147WOhjVbxshKNaZ7YnW7D5uq2xBwZn6T7uCy9Y57WqVWnB8SlNW5sBpB5DeKfoWIM/PdH1/DIHzLzc/yqZf20F+8/l0DZq+vmrrS/PPOxYSmn09WNX6yz0QXtwr/PV/E/+Fgb7OaHqnzV7zPeoDm7R46ht6ydJs9rVzGDebs8O3yDUQVjRdmj2/A/a4upwdw1qa5bf6/eKzocz283JGr+et1We+XWVeV571V9+zJETbsZFR8m1/awS/w//3eiVA0Y6D4vd3k13Rv/beMCcxCyU6GScOjpQd070ANH+/SLjxlkH3evWtXZcPvrImhuoKj6euUluaXGGuXHqy2qJLo2rS53EWPNghadGrOlO9kdDWklBaoI0bZkv//5rHTB0V8s6CVI7MdY8ELB8R6oECp136ZdfrB0hreCxgxjdya3swVUdTa4Hp3SyVx2BrCMe9fWmbd901KGnafXePV8slOeOvlQ+OaP0IZC6A3Vx3VPM0aX+ous5e8OBUufTscVERZotJ8NyXh03dur1+ewbfZycP2aGeQDIcZA8iHbodu2yDtZo1YV+/mrFhR7Y08pKfc9oEJ+QYIUQcXFWkKCTK+tBSD3peX3/nnOOdfBHqwerGprqoIlL3pklO1KypXXdRPnxruOl1WvPHvm8FH2GN6+TIB9cd7SMvf4os42Atha898uFcuX7c2TN7jTxFj3Q9uuv1ktGw2mdR0xHuduTUGuLNaUhvD4+GsiMH29Vtnw7a5dEXThZ0o+dJYsvqy0RV3U126yVJkkypM+o8+Wqby8wqxu//daan0zDIT0YqwMi9EDddddZB/f1OzYzL9YMXjRIuusukZNOjJLXru0qWZ+dKnsn9JFxYxKk/12r5b8l2Y5QTkN1/ezVddWgRiuCNDDS51y/n/V7e8cO6wCh3k458x57rL3SV/9tkTNf/1cufmeW/LR4hxmm6LaRfn/d/cUCyfdi1fThdIDNA18vMqs79Lv0hUt6lDv5sy/p86UDZPS7b9Ei9y+vryel11HPM0UPLoU63ppTx67SOb5tHXM+wdLYrbb08yYQRqZWptrq75W7ZW9qruTN7ShDbq4lmw/VND+XtYpP513UzyINCPRAs35WZGdFyKQZ6dLphsUixy2Sr7OmyIFaW6RdO0Puv9/6zHrwQes9r9U6+nmm1Tsa6AaMp54SIzJSBo5/x/wsuPSoiisB3HGhowXbdpcG1b3y11r5ZNZm8/PwpUt7yokd6hdvR0REyLq7HzErqTQ8LKvLg7nv+oB1Xge56favXcE1c6b1nKjXX7eqPdescf3+6Nxn995rnddqG3e3fzUM0vla1R9fV5f9k7rLyR1KDq5UfYtCnVlu7n8HXFtjV7YBy9h/3LLF+h5W+pjrdsCgQdYgxvvvjZLHz+hk/u/daRv8OiH55FW7zdf3mBOukB2HDUyadOmd8vpxV8jD3ywxv4Mrww6az+ja0DHvUkV6OTpJHAzuihJfzf/kb0G0nxNs9qRmmydv0uOY6vJjmpnvUd2WPbmj9bk+eRUt2HzKgE+lpKTolp35E7532itTjRaP/myMn7ulzGXyCwqNWz+Zay7XdcRvxsqdrj1Xvy3babR67Gfzcs/8sqLcZfelZRvtnvjVXPa/jfsNT3vgq4XmdV/9wWzjk1mbzPMdhv5qbNybboSivDzD+Ocfw7j/fsNo2dKeqtU6RUYaxoABhvHSS4axfr171ztl1W7Hc/ru1HWGMWpUySvX373ovi8XmLc97Zp7DCMiokq3999/hlGrtu5ZGkZM/UPGivXZVVq3mz7+z1y396e5+aD6yJw5htGqlfU0RUcbxrPPGkZBgeuvp48/Noz27Yuf6ho1DGPECMPYv98wfv+9+O+TJnl2vZ/+ZYX5uHYZ/puxQd+vh73mMoYON44b/be5zHVj55ifV/4wb9N+cx16jPzdKChnHT4t+vy55O2ZRjja9fDjJT8zDjtte3CI+T5v+/gv5uOkp16j/rDe8+VcztufPa4oLDSMv/82jIsvtt5j5a1uZU56nX36GMY99xjGl18axubN1m1WRF+PL/+x2vF4XvPhHONQZm7JhfTxK+czNSs333j1zzVG+6Lv6TZDfjFGfL/CWLw8z5g+3TD+/dcw5s0zjGXLrO+V7dsN48ABw8jMLP9zRv+nl3n/fcO44QbD6Nix9PtevbphDB5sfeb89pt13c72pmUbd34+33EfT3pxijFvU9FCh39PVfI1k59vGKtWGcZXXxnGkCGGceaZhtG4cdnPV3L1AuOEE6zPSue/H3OMYbz5pmHs22f4lG7vPPXTcqPbiN8cj5NuBz367WJj2fZDxsItB83f9e+Pf7/EKHTlxeUBr/+1xrxNfW0t3x54+wJnn209b6+95v5l9XWtl9XXri9c+f4s87H8YcE2r1z/ma9NM6//q/82l7mMvm4GPj/ZXO7beVsNfxs/3noOjj7a9ctc8vICI77FXsd79qabDCMtreLL7U7JMvcz7PeX7jsdSM9x/H/dOsO45JLiz4LERMN48knDSPf3rshhn5G/XHKHx29Cv0O6Drc+e2auK//Db+y/GxyPoe6zlSY3v8A46n9/mstMWrqz1GW++KL4cd6xo/Tb+vlnw6hbt3i5ceMqvi96vfp1qZd54AHXvofL8s77+YZEWPsiZ5yba+QUv1xMm/alm/dRt4kyc/INjynre9HL21bfnHerW7eTm2sY/foVv4ezi3bVVq82jNhY6+9ffFFoXP6u9dl352fzDX9Iyco1jn36L3Md/vfz8iO2q3Sb65inrdfryIlF/y9DRoZh/Phjye0cff/Y393/rt3r8nrN2WDtm+h7xePf6b46BuCn16rPVXQ/g/3++VF6dp7Re9QfRvcnfzd2pWR55TZW7Egx32t6nGzrgQzH36eu3mP+/WhvvAfDTIobuQGhjo8R6vjP+j1pjoMzBzMO24o8jG5MXPTWDHN53WjZfjCz3OVnrNtrtHvcOjjwyDeLXPoQe+y7xY6dIE/SEKplURCxeOtB8wDXFe9ZG38Xvz2j3AOwoUAf+sWLDWPkSMPo1evIbYRu3Qxj6FDrgFx5T9Pa3amOHbKHv3Z6Tis4GOhJ3y/Yarx4wlVV3sjRwCspybp4bOMDxgkjp1d53d6cvNZ8bO74bJ4RqA4dMozLLit+6E491TB27Sp7ed251INSdhikp9q1DeN//7Ouy5keaNb/N2xoGHtd398ol+6o2zv2k5Y67ZEf9ppbuu2Q42Dks5NWGv6gB7xd2aHcsj/D8bmbmnXYgfUQp58ZetDxiPdwKe/lPanZxht/rzH6PvNX2csHyA6PBpsakjuHnno67jjD+OQTw1i+3DBWrrQCgTVrrAN7Gnxs3GgFM1u2GMa2bdZBp507DWP3bsPYs8cwZs82jJdftg4ClhUe6N81RNLlZs0qPuBhy8jJM27/dJ7jfaQH9fPyy09z9aNdAwf93vj1V8N47z0rTLn5ZsMYdEq+UbtZhhEZn+NWIBUXZ4UbDRpYAw00vOnR48jAwz7pY3n99Ybx7ruGsWSJFaiUvq6FxoSF24yeI38371/rIb8Yz/+20txm8dXBB/28++svw3jxRcO48NI8I6lxmiGRBSVurlkzw3j8cet14Eu6ffP3yl1m4G2/BvTU/7nJ5gCEQxm5RwzGsbeX3v5nndfXb/qavY7bK29wkT/ptpM+h506Gcbw4Ybx+efW9lJqasWXtb8XH3zQF2tqGLeMswZg6eABT7O/u/SAxX6noKI0rxUFdbqt7W/6WWtu68Va2zQV+eL7LCMyIdu8TEJiofHpp+6/596but4xMOGE5/420rLzSiwzY4Zh9O1b/PnQqJFhfPhh2Z9zXuWh0NsVGiDb+xDlbefbn1Ma+JZHt/d0uevHzjnifzqgQD939a489VT566XfvyeeWHzXr7mm7BBvwgTDiIqylrvttqoFOurnxTuMuufPMyKirO+Ms86y1t35O67fM1ZYMG3NnhKX1YP+OqhCvyfvvdcwTj7ZMFq3NoxXXw3Mg8i6ra734+X+V7t8Ow8/bC2i2wobNpT+2Vy/vmHMWpHiGHRYUWjoDf/3jfXa1kC7rPBt8qrd5jL6nadhS1nbk8cea92v5GRrAIluD/60eLt5WX0tuHPcQtdF9zf0ss4Hmv39uaHbqvrazcryUKAT7MFHuARXRYPFP5m50Rzc6Bh85WW/LNnh+F7RgYPeoN9rpR0HyM7LNzoNm2T+Tz8DUXmEOgGMUMd/7IPQOqrMFRr8nPzSP+ZlTnnpnyMOBtg0OOlc9OGlAU1FB5Bsa3alOjZ2dGSSp9gVFM4fsrpzaq/jB9MP20oMcZs2GcbrrxvGSScV75jYpw4drIOOh9ORhnoQyK4w0C8of0gfOrzKGzl6kDI+3rpYmx7pRrMHJpnBY1XpToQdegYy3QHVoKZaNesx0IOsf/xRchndyB4zxjCaNy9+iOvVM4znniv7QJbuhOpBL132wgurvqOro8rtEFEPRFdED+zaG2wTF203fE3fF3rbn88uewSzzR7FrAdQw8k/RaOVNPA/NGSYS+/h/CdHBuQOnb6+Z840jGuvtQIL++Z1J/zOO61AxNO3pwGQVujowZujjjry89sOTzQs0YqeHr0KjBrNU43YRgeM+MYHjXbdss0Rrxo2HX+8YVaR9O9vVW4OHGj93qZN8eejK6eI6Hwjuma6Ua1uhlGrfq5Ru06hGZiXtm5lnRISDGPQICv0+Okn10PhnYeyHN/vejr91Wnl7zD5aACCBmm3fbTAaHT9NKPO2QuNc4asMv5cvsvIyXOxNNIDdHtNq2nt721720oPfuqBpfIOCn04fYNPPkt3HMo0q/D0dvSAWKCaOrXs166Gqvravf12w3jlFWv7QkME++C8faBYK1194f6iqnQNxD1NQ0C9bh0RXxE9eGi/5jx6ILGSn521alnPw/xyxlzoc6ahXURR1UTNJulVCmH1s0gHJZRVwa3r9fXXJQfNdO9+5PaYV/n4oL5dNaD7X6Ud+NYAWoN5XebJicsqHBCo1dt20Hj4YEMdfGQH6s4hSXnPv95d7Wagl2vXzjAWHHbsT6tE7eoQDX5crXYvz71FHQiuG7nZ8d2rnxvO29p3fLjEaHDVDOPCe3Y4whsNAst76t55x7Xb/+HC20q9gg33Pmp4ml1Nax5UdeH7eOLE4lX6/vvSgwG7uvfWWw3jiR+WmNevXUh8WbWvYVtFYY1N9zd12QHPTza3FZzpwJ6uXYu2rSJKbiN1PnWn0eTOP81BK+46+/Xp5m3+6Knv8yp+buhgQq260kW1Su7RR48M7BycHwiXNkojjKATLsGVYZgV4fbrUU860M8X7vnC+py1TxW9T92lAxHtweylBVV2xyMdAIrKI9TxgB9//NG4+OKLjRYtWhhxcXFGvXr1jH79+hnPP/98lQIZQh3/Oev1aS4fhLRtO5jpKC/Wg5iHj4ZduzvNsZOuI/SOGC1bgWs/tEaTjvhxmeHJlki6k7BuT8lhV5/NLm7DplVL4UhHBOlI8osusjYa7R0gHUFu0wNRl74z0zHiUFvl+YUHdj6/+cYwYmKsxbWlyoWvWxVb4/+r+ghh3Ti3d0YrqmQLBNryqEuX4m3gxx7Tz2NrhJ9zVYBW3mgVgCvtQfSAif34jh1b+XXTzw09QKuPpVYIapsNV2ibR/s97cs2PjoK1x4Jt3lfxQewhk1Yai6rO6CH0/eePt4auuqOu+7sfPut6622ApXuYNvP6Sg7pHPlIHuA7dDpgZa337aCE+eb7dnTGi3ryuh9T9H3pFYdjh5tGOecYxh16rj3UFV00p1tvZ86clgPmOio2A8+sA5sLV1qGDt25xuv/bnG6DjUGiBhn/Q9qy1z9hzKMR8PHWWq1UjaLkXDLq1A0vXWVo160EzbO7pDD/Rp+ydtB2u3pdER3a5+TviCrqMOnLGrUPSkbR90pLq2TvHGASdtL6HBqR40stvk2ber7WDcGSyjB1TtANYbLXG1TdU5b1g79me8Os3tbUVf0s9dfb2+8IJVraZBqI4ML++9o+Gqfr/aB2nLCxM8SQcp2dtqnn4/2NX6H89w2kAsh90OqaJqC1/Q9nf6POhndGn0YKpzpUZSj83G17OrfgD0yzmbzcdAw52yQl09MK2VnjVrFt/+6adbn7GV4mp47YeR4fq5qK9NfUxW3PFwifXUg2z255a2zHa1GuGyd639E60Oc34+tZWarr5W1rlj2jTDaNrUuqwGONp2UT8DNNy1B0PpPpO731ul0feo3VJr7sb95m3owBC7i8Ipp1Qc3ug+m75etBpQq7207ba9KaRt4irab9HH/PBqaP39/DH/erRVkA7UsitpXGnjrtu8dhh7332uhe6//JHreDx1H98T9CHQzw2txNVWcKVt/9stoF05dqFt2uyw13l53fbXQTV6P/Q51wplrQrTATyOpyYq37jy+twS++iuGF60z6Hf61VWxc+NFSuObAtvv161pa22QyxRsejBwEO3mUt7Dv3Ok/s5Puye4g4dCK5tfe1tYnvQph438fZxJR2I3KXo9vRzzQ5+XR107gq7xfV5b/5b6v/1OJP+/9w3qt4ZJpyluJEbmO8Sf8/rE0jS09PlqquukokTJ5a5TLNmzeTrr7+Wvn37un39qampUqNGDUlJSZHq1atXcW3hqi37M2XAC1MkMkLkvydOkbpJcS5fdtWuVHOy5bTsfDm9S0MZc1VviYqMkB2HsuTit2eakzB3b1pDvrilr8sT+dl08vBrx/4nibFRMnPIyVKjWukTsbpC38qXvTtb/tt0QC4/upk8e1H3I/5/zYf/yb/r9kmfFrXk69v6mfcjmOnko6MnrZSc/EK5+YTW5kTXrtq9W+TEE60J71u1Epk2TScJNmTI90vlq7lbzefy+zuPk/YNksXnypsg0YVJNtV334lcdpk14fHll4u8P7ZAej/9h+TmF8rfDw2UNvWSqryaZ78xXZZtT5U3rugl5/RoLIFOJxnViWLfecf6XSfxzcuzzjdtak38etNN1gThZSkoNCQ9J9/xXtWJxYcMsSaCX7xYpHVr99fr/75dLF/P2yZ1EmPll3v7S8Ma8S5dTtflho/nmp8jTWpWk5/uOUFqJ8aKLyZHvfHjedKsdjWZ/n8nVbj8Xyt2y82fzDMnn5/6yCBzgvfvv7cmTF+woOzL1a9vTfqsk6nbPxscOa9uQNIJXh/6ZrEkx0fLtEcGSS1XnxdX3/sufAZUhb6W9X3y2We6XWT9LT7e+iy5/XaRY47x/gT3FdGtV52Qe+wve2XcrE2SXyDSrFaC3D2ordROjCuxV2gv73zSuW719aSTwzdubN0/V6Rm55kTqP+4aLvMXL/fcf3RkRFyYod6cl7PJnJKpwZSLTaqUvcrO69AVuxMlcVbD5mnhVsPyeb91mTIPZrWkOcv7iEdGvrhe8kFS7elmBN5/7J0p+xNy3H8Xbe5zurW0Pye6N28lkRWYttDP3fnbTogszfoab8s3Z5ifgbaOjeqLtcd10LO7dHE7cder+fOz+fL78t3S82EGPnujuM88h2pZq7fJ/d+uUj2pedI9fho83O6RZ1ECTYHD1oTq69ebZ1020l/rl0rkptbvFxCgsi+feV/j3pKZm6+DHj+H/OxfeaCbnLlsc09cr06ufCxo/8239uzhpwkjWpUfGe+nb9NHv5msbSqmyiTHxpoThjsL48/LjJ6tMgtt4i8917J//35p8jVV4vs2SNSLaFQEk9eLE2P2iuzHz9Z4qIr95nl/NnV//kp5nv/pUt6yEV9mpa57P79Iv/7n8iYMdZ2mH4e6/fLE0+IdO4slfu+LOv70I/fq6/8uUYKR42Sh/793PG3PQ8/LicnDJC0nHw5uWN9eeeaPhITFenS9f2wcJs8MH6xuc03/f8GmZ+lut06dqzIsceKzJrl/nezPhd6HT/+aP0+eLB1Pfrdf+aZ1rZarAc2LWes2ydXfTDH3NbVfXHdB507V+T000UOHCi5bFRylsTWS5Obz6krPbtHSpcuIp06iRx+6ETfo3ffLfLWWyJRUda6nnNO6bf/27KdcvtnC6xt0ezpEvHkk5L++DDpI33N/cjPbjpWTmhX1zPvwR+WyhdztshJHevL2OuPLndZ/fwcOFBk9mxrO/fff8t/vG++WeTDD633yf1jNsrTv62QWgkx8s/Dg6RGQuWPIxw+R72+nsaPF2nRovj/Qycslc9mbzG3/3+/f4AkxEa7fKxDfXVrX6mZW0dOOUVk+3aRli1F/vpLpE2b4ufzgZd2yjuvxUnOttrm36Kjrc8s3ddq377i+zBh4Xa5f/wi6dGspvx41/FSaVX83PjnH5ELLhA5dEikbVuRn36yvjffflvkjz+KL6aPwW23idx4o7Xf4+rtpgwZJjWeGeX4PTNTZMYMkb//Fpk8WWT+fJGOHa3fGzaUwOHm47r5vsek+SvPHPmd6urnvw/psTbdFnh20irZn2FtGF3Yu4kMOaOT3PDxf+Yxk9EXdpMrjvHMtkpppqzaYx4baFA9Tn69t7+c9NJUScnKk1HndZFr+7Ws8vXr9/zxz042719Zx3/2pGXLMU//bZ7/74mTpX6yiztYqHRuQKjjpKCgQM4++2z57bffzN8bNGggt9xyi3Tu3FkOHDggX375pczQT0sRqVWrlnm+k25huIFQxz/em7Zenvl1lfRrXUe+vNX9MG7W+v1y3dj/JLegUK7t10LuP6W9XPLOTFm/N0Pa1EuUb24/rlIHU/Xtd9qr02TN7nR5/MyOcuuAoq2aSpiyeo/c8NFciY2OlKmPnFjqTuj2Q1ly2ivTzIMjQ8/qJDf3r8QR6ADy+/Jdctun883zunNwUe8mcvegdi6HOzt2iAwYILJ+vUi7diK3Pb9F3pi91Az/PrzuaBnUUbeufMwDO5+64XjhhSL5+SLXXWdt/C/adlAuenum+TqdP/QUjxxwGPHjMhk3a7PccHxLGXFOFwkW33xjHexISbF2VnRH4frrReKcst6c/ALZtC9T1u1JN09r96SZPzfuyzB3/k5oW1cePb2jdG5UQwYNEpk+XeT440WmTrV2LF319dyt8n/fLTFfc5/edKwc39a9HcqUzDw5d8y/5kFf/Xz75KZjXD44UFmjflohY2dslCuOaSajLywZHpcmPTtfOt0xR1JXNZC6+1rLhnXF66cHcvQ9qDs+ejBQd/D1tHSp9fo9XLNmJUMe/VmzpgQU3eA9+aWp5uetvkbuOLGNVz4Dfr3kDun70aseDfJ0i1BvWg+22XSnUIOca6/VbR/x6+O6aX+GbNqXIRv2WT/1PblgyyHz/2d1ayQvXNLdpYMMnrIrJVt+WrxDJizaLst3pDr+rgM1TuvaUC7o1USOa1O3zAEUGibofVi8zQpw9OeqnWmS7xRWqLjoSHno1PZy4/GtJNrL729P0Ps1Z+N++WnxTpm0bKccyixKz0WkcY14ObtHYzmne2Pp2qR6md9FFYU4Sg8sHde6rlx6dFMzLKrK91pWboFc/v5s83nQg34/3Hmc1HFjAFBpg07e+medvKwHdQ2RDg2S5a2re3ssLAoUOnBk8+bigKdnT+sz3Vc+nrFRnvxphTSqES9THj5R4mOqFkyoz2ZvlqETlknPZjVlgosHBTNy8uXop/+SzNwC+e6OftKnhXVA0h/0wLZuA/bqVTxwQr9Pn3xS5JlnrM/5Hj1E2l+5VP47sEVuOqGVDDvb1SSlfPqaf/631dK+QZJ50Lei96QG8489Zg1EUrr4JZeIDB0q0q1bJb4ni7aJdQDTvM0HzANcQ87uKpHixuEOXYnCQvGEQ0OGS81ni46SO3nphKtkzlV3mdts7rxm9XtQX2c60PDTm46RpPR60qeP9ZzOnCnSr1/l1lMv/+abIg8/XBzSnnSSyM8/ey6gtfcZLj2qqTk4wfk18PXX1oFnO7w5653JsvVAlnx8w9FyYofy98X0qdJ9HR2EotvxehhHB+0d7v6vFsqERTvklv6t5Imzil/vI39aLh/N2CRHt7QGPFZ1/0hD4ROem2IeM9DrO6ZV+Z8F+pi/9JK1LavvVx1oWB4NwHS7bO9ekZGjCmV64nRZuyfd3D4Yfk7l38f62aChqkpMFMnIsNbp449FzjvPGqBw5ftzzP9/cfOxcpwb+ys6YPLL/7ZIrax6svWLo2X/vgjzedaQWQfWOB8XOf3V6bJ6d5pc07KPzPm+obmMvb9w6aVWaF3eZ4M9kDcmKkKWPnla5b8T9AaNyn1u6GtRQxoNrPU9qWPF6zo9XPpdqQOnPvrIGjChNMi7+GKRO+8UyX3rHhn0xZtl3pR+fowdeK1c2aqn5G+rJ5MnR5hBrD1Q0ZmGfxow1asnAWHN7jSZes29csufH1e4rN7PN46/QlrXS5Rr+7YwBwokx8dU+PlfIb38iBEiI0d6LAjSQeDDJiyTuZusJ7Rd/SR56vyu0rd1HfP3MVPWyQu/r5b+7eqa+/ve8ui3S2T8vK3m8cpR53WVT2dtkmE/LjcHFek2UlW2a52PW+jAAj3eWNY+yXlv/iuLt6XI8xd1l0uPblal2wxXqYQ6lfPuu+/K7XrkwvwA7CyTJ082gx1nDz/8sLyk37wi0r9/f5mmw/vdQKjjH+ePmSGLth6Sp87rItdUMqX+ZclOufvLBeb3e73kOHMkmh6c+PaO46Rxzcpv8Y6fu0Ue/W6peV3T/m9QpQ7Y6MGDs9/41xzde+uA1vL4mWWHjbpRpRtXepDo1/v6B/UBBg0p5m8+aH6x6AFUpQfPLuzVRO4+qa1Lo2G3bLEOQOhBiZi6adLgitky4pI2/gu8qrARqXRnRje+dafsiitEPv3UChnsYHNw5wby/rVHeWRVdaT6fV8tMkeP/3j3CZW+Hj0YoqMZ29RPMqvMfDHCVUeILVok0m9Anmw5ZB0ctk/r96bL5v0Z5oG4ipzdvZFc3rGjnHligqSliTz9tLXD4YrlO1LkwrdmmiHRw6e2l7tPalfpDeQLxsyQjNwCuf64lvLkud4N2DQY1h2uMVf2lrO6Nyp1GT2ApKMNtSJnwgSRrVuL/6c7LjoSVA866YjK0nY0tKpqyZLikEdPOsKttLeGBnNaIaU7wjriTX/a5xs1st5SvmS/16p0kLGCYOfl/lfJ68ddYY541Z34c3s0Ln0Umxs7LfrYPvKIdXBB6YE13bnUEaS+GnSuB+K2Hsw0A5uNTif9Xatiy/LAKe3l3pPb+nV0/NrdaWa48+OiHbLtoPV9pHR7QQOM83s1NgO4xVtTZMm2Q+Y2iQYVehD4cPq86gHl7k1rSo9mNaRXs1pVHoHrL3kFhWaFsIZffyzfbYY1tpZ1EsxRfnrS7ai5Zoiz3wxylpUR4vRtVcfcST62dW1pWsv16lxXaMXHBW/NMA8m9mpeU768pW+l3r8HMnLlgfGLZOqavebvF/dpKk+d17XS1Vsomw7AGPTCP+bnw/CzO8uNJ1RwRNQF13w4R6av3SePndFRbh/oeij/0NeLzUo1Vwc8eIt+3zZvbo1w1+0SPQis24P2LquOCh8yMltOem2y+R7768EB0ra+Z6r/dETwcaP/NrdHPrre9cFRCxdagwl0m8F20UVWuKNBoTvfjxMvul0e73K+47PmnhlfOiplUiVZfpGzZJKcISfKP3KDfCRHfGt4asR3BeuZPXyExI980u2rHf7jMvlk1mY5s1sjWflBb/OArVY5ffllFde36HnQQyFaMaDXp1XonqCHm3R0t75PdR9E90XK88g3i+Wb+dvktoGtzVHuFdGD2XpAXA+e6zprpYIO/HHetujzvz/NMOzb2/vJUS2Lg5bdqdlmhZkuo5/5/dpYB2EPp9VtWhWkAwL1tVpacKR0lP47U9ebXTH0tsrbLtH11X02O4w9/3xxyeefW9UrGmKN/emAPP73LLNa+Lf7+1fqvfzKK1YnA/X889b2n76m5lgZjtx5d6EsbjRNtqVmmBWRWhnpjrTsPDnuviWy/OPuYuTGmEGk7q86Bx1Kv/f1eIYOUJ37xClmVwRdB9230gGLNn2cNIDSgV2lvdY0+NyXnlu1gL0SgyyNocPM14Z9MX0cx40rOxjVfR2thtJKM93PscXWT5Vzkr+Vj9ffK0mSYf6tQCJlsfSQnwc9I2/tPlb2rE0WIy/6iIFvJ59sBbJaHaS3r/u7GuLre6K2F8caaFD1++8i11wjUqNG6cv8s3qP3PPFQrNKcdjC7+SmPz4q8/r2P/qEvN7vcvluwXbHZ7kOmHp93c9y8pdjyl6Rij6/PVzho+v26p9r5KOZm8zv02oxUXL/Ke3MbRHnQZa6H3Pii/+Yx6nmPXGK6x0c3JBfUCjHPPO3uQ1qB6+6TucUHSOs6raJvrfOeG26rNqVVuFg9Nf+Wiuv/LVGTuvSQN69xjPHncJNKqFO5ap0tK3azp07zd/nz58vvXv3LnW5o446Shbp0UCtFPj9dzn11FNdvh1CHd/Tg/26IanbVHOGnCz1q1e+BPCjGRtl5E8rzPN6cOab2/tVORRxpYyxIhMX75B7v1woyXHRZjBU3heFvuW1DFp3WHs3r2lWGQVjG7b5mw/IRW/PktioSPn30UGy7VCW+QViH0RxJ9z5a066nDE4WvLT4qV+yyxZMS9e6tTx02NShUod3WA76yyR7GxrZ/irr6ydenXrJ/PkjxW7ZcgZHeU2Nw5SlGfrgUxzR0h3JJaNrNxoKN0A0Wqrv1ftMX8f2L6eOdrem6W6+p57/e+18v2C7bIrtewDxfp+0qCprX2qZ/1Ur/61Rn5cvMM8EK73v0tGd5n4elPz8dbRUqXtaBx+4OPcN60Km0Ed6pmVYZVpSVRa1doLF3eXS45q5pWRSHZJtX6ezh86uESViD4W2kZBd1C0jYe24LHFxhdKdMtdcuygLJnwbJsjWmi4Qg9O6ShGO+SZN09kw4byL6MBkoY+zkGP/VOr8zy9g3MoM1cGPD9FUrPzi5+HyipnJNrC6+6WR79bYlZ5Km3hoiPCHAMM3Nxp0Vz4vvuskbpKf951l/iEhrraRlO/kzQMOfxAvjPdwdf2RvapZd1E6dq4urQOoMEJ+h2rgw1+WLjdbEPmXKVSmoTYKOnWpEaJEEcHKvgzoPLmZ+8/q/fKT0t2yN8rd0t2XvGABL27h++ReDvEKY2G+hq262e0c8tdV+lzf88XC8yDlzp4RsMcRil6lz1YqW5SrLkNXJVqPf0MP+p/f5nVchrK6+eMq+yR7LrtMHfoKR6pGqoMfR9p1YMehNaDoa++ao3q14Pd779vHay1Rw0fpQee7zjOo7f/9C8r5P3pG+XYVrVl/G3ulY7oYA49KPrtt8WfB3rQW7++9ECwq9vIOsL7i1Ovk4Ed6slRDRtI+otzZOJP0fKnDJZcKR6pfKN8KGPkLomXHJ8GOg6VuD0dEHTW6/9KzrqGsuu7PuaBfa2Uc26TFWjsg/V6wHPh8MEVvje+X7BNHvx6sVuDxnTfR9vFTZlibdtpiKmVP84twHSQhR4LOHx72w7KyuroMWmSVdGv7ymbhkgvvGBtTzq3Zz1+9GTzoPUH1x4lp5QTXulgQq2m00qN+++3ghVX6XvjtNOsShc9iN/i6nny96rdZhXAJzce49b2gwYK9vae88tRBwfqIDV7oE9so0PS5arlMvWpY6xqCTdogHP+BYbkZEdIXLP98tOPIoN7HRmePTlxuXw8c5M5YEwHjh3eFliribTbgv3ZoI+BVpFrqzgd3GXf7ZvHzZO/Vu6WJ87sJLcMaO2T93HeY8PMQFRbISodJKUtul0dWKb7NG+9ZcgnnxlSkGddKDkuRy7PGSf7pY5MkUFyUErutERWy5H4FvulXvsUeebu+nLFKXVKDMLSzwUdmKUt5/XzU/fRvNHdQMMcraJKTbX2sXQ/0DlUVeNmbjKr4nQTX6vX3r26j9R6+bkKK240NPlhwTazyu+MH94v0cqyTO624qzE57Bu6/+6dJeM+nm57E61vj/O6NrQrHota7D3ma9NN8OV5y7qJpcd7fkWbNpZ6Ir3Z5tthDU4sgeK64ApnUpCXxvaklD3NSrj37X75OoP55j7LbMqmDbC/szXZfUzv6rtXcNRqju5gXen9wkekydPNici0tPAgQPLXXbs2LGOZa+//nqvTXgUTnTyxHEzNxrr96R5bSLVi9+e4ZHre2vKOnPC2yVbDxmennDs3Dfdn6hRH7sBz092a4JWndjenrTt3anrjGB0y7i55vr/3zeLS/x9/uYDxrUfznFMmqyT0j389aIyJ03en55jTmTa+OYpRnz1HHO2BZ2o8ZDnnl6fTMyok50mJFh/1knEc3KKr05fU71H/WE+HvM2eW4SaL3eo/73p3m9OulrZS7/xA9LzMvr5KX2pLG6rn+v3GV4g06CPeiFKSUmOtf7oJMcD/1hqTkpsk7svSslq8L34rLthxyvteb/97OR3Gmn+fi3a19oZGSUPaFj4ciRjtevTjh6MMPpyfLA50i7J341djz0uFcm//1hwTbzNs56fdoR/xs2rORN1q5tGPoVOXGiYcxde8i8XOdhk8qcQLky9u0zjOnTDeOTT6y7eMMN1gTQOjFpVFT5bx/9/yOPWBM3e8rTv6xwTErpkcnhD/8scHoe9XF89c81RtvHfzFvUyfG/GTWJqNg5Ei3JlQtKDCMW24pno/0/fcNn9HP5VNfnlri/dhp2CRzMvk7P59vvPDbKuPbeVuNeZsOGAfSPfM+8SV9jv5Yvsu8L/r51mbIL+Z7RydQHT93i7FqZ6pnXidBKD07z5iwcJtx87i5RrvHrc/+/s9NNh75ZpHx3fytxraDmX5bN/0+s9dp1E/LXbqMfl/o9qY+x3q5E1+YYqzYwba+L+h2sL529HHXbfSq0M8b+zPcXTrZvT2J+I+Lthv+pJNwO3/89+hhGGvWFK+n/Xh9M2+rx297x6FMx/fSgs0HKnUdy5YZxhVXlJxT+6z2q405crRL28c7pYHx5lk/GyeffOS2QEdZYVwrHxuRkm/+frTMMbZKE89Ntu3Byc7LcubL/xrRtdLNiw8ZYgS8l4q2T3Xb19XXkC7f6rGfjZQs12d7T001jGOOsR7WRo0MY/166+9Dvrf2NfRnWfvF9mvWeX8mK8sw7r23+Knq2tUwbr3VMCIjrd/j4gxj6FBrUno1Zspa8zoGv/yP+T4ri+6jHXusdR26vs77bK5at84w4uOt63hpTLbjO+uvFa7vP334YfF909dRabs9L72fakTGW/vHickFxnffubeeX39tGDEx1m206Z1qNHvwV/NzMi0774jtpV5F+6qTV+4u8/pWrjSMa6898n1dp45hnHGGYTz5pGHc+ex2o+m9vxt3fDbP8Pb7Wbe59ZjBKadYf9LXxltvVe6mflq83Wh6329GvcErjFZtCo64ueRkwzj7bMN4+WXDWLzYMBZuPmgMerF4n3b4hKVGZk7+EZ+ldetal+/b13qPeNKYMcXPhf08689XXrFeT3n5BcawCUsd66jHZErsB5azn+NM953d+VzNHfGke5/LbnwO6/HKqz+Y7bhPehxu8qqyX7O2N/5eYy5/zYdzDG8Y8eMyx2N8uPu/Wmj+77w3/y33s6k814+1jnno7biyTXx00TGiqav3VOr2wl2KG7kBoU6RRx55xBHUPPfcc+Uuu3PnTseyDRo0cOt2CHVKZ29s3faJB758D6Nhjl73h9M3GIFqT2rxxpi7B90/nbXJvFyfp/4wD5K46qv/NjsOAK/d7eFveC/TL9OWj1lfpGWtuyvhjm5UXPL2TMfBpBn/5To2fPr18+yGz44d1kbYktL3J45UwcbH9xfcZm4oqVmzDCMpyfrX6acfeZBaHy/7uc7OK7mxV1W3fmKFE2//4/6BlHf+WWdeVp/LSUt3GKt3pZoHUuznTDcCs3I9s7763tCNEPt1c8zTfxo/L95hHMpwfWexLDPW7TUDWd2BiErKMp+Hky5MKflYH/Z8vnjCVeZ7fvHWg4an6EaaHiDV6/bUgYPDPTh+kfn4PfPrihJ/1x0Y+2Zuvtkw/v7bMPLySq6bHSzOWr/P8AW9/Y0bddCGteOqodPVVxvGCScYRpMmJXfSFy6s+u1tPZDh+Bx3ZePeZUVhYFnPn75vzh/zr3m7ZT73ZbwG8vOtnWN7R3TcOMNn/lm9x+j+5O+OYPX3ZTtdClODlX6WeerzLNSkZuUau1OyjECigZP9XfTRv+VvP+pBR91+tZe/87P55n2C72gQqI+9fqa4cxD4cPodqtejgyQq46XfV5mX1+1Pfxo+vPhj/447rIPTNh24ouuog7syclzfb3DHQ18v8sh+nR7A1e9t+yC6nk6TScZM6XvE99smaW68IvcZJ8g0I0IKjgi19Otv+d3FGyt/yClGbdln/lo/Mc2Y6n6OVzrnJMqVky7vpivv3W9eNDY5x0hJCfzvzNNfnWa+Hr6eu8XlywwsGrDoTkih9u+3tuv08WnVyjC2bi0egKbbHWV57DvrWIQerFVLlxpGt27FT5OGO/b7SPflBg0q/p9uU340rsDoPcq6Hf08Ks+DD1qXq1nT2k6trGeesa5H912HfmUFZ/q4mQfNK9h2/Pzz4pfqAw+UHujoNosOhGtyx19G4w5WiKinu+8u+ZlSFt32tt+7l11mGAdS84zjn/271IDtt2U7HduD9v5teTSw08dRQ7HY2NLfWnG1M4wrrzSMV1+19pVdWefS/HrpnaXegG5zP/fNJsfrLTHRMH7+ufL7qX2f+ct8DF75c7U54OrPP63P7//9z1r/3FK+2jTEcQ5NTnpxyhEDjxctMoxatax11H0gO4SsCt3Huuee4ofjuusMY/duw7jwwuK/nXl2gXHJq9Z3qu5/67GCUrfxK3itVuZztUAizME1+p0+7RqnFXVhH0nXUffhdVtCj9Hp/t26PWnG8u0p5ne8va+nx1X0uXJ1294+HqODfzw1oNN5P/vYp/8q8zNTt7F1YKX+XweVuWvt7jTH81jWQOnDPfrtYpdDIByJUKcSTj/9dEdQo1U7FWnWrJlj+T17XE8fCXWMMg9K6WgcfePrSHpP0QNE9kFcHYUTyHR0qq6nO6NK9IvcTsErOuhwOP3CskMPTe2DabSwveF908f/VbhseeGO/rR3bNfsshIcPbirG9n63a5Fe6VWXLhBN3B0o9MeTaWjWXTj2aXAqIxg59UBV5vr/dh3i425cwuNGjWsf510kmFklvIy1y9vT1arOdNKL3dG3zmPRrKfk/enFQ2lMwxzI0pHRtv/09FuK3dW7fNy+pq9jp0Iu7rrUKZnD7jp++nXJTuMHjcvcjxVnW9YaHy/YGuZlRMLb3nQ8LTs4SM8NhKptPtobzBOW1P8vff998Xb2iNGlH35+75cYF72uUkrjUAwYYJh1K9fPKrs6adLBlHueqBoFNQV783yeTChn9/zb37ArZ0W3Tm8/PLiz6WvvvLNuupj8//t3Qd8zOcfB/BvJJEQScxYsfdKiL33VmoURWnRqqJVVar2rla1/kYVrWqNqtKWUrt27b333juEIMn/9Xl+9zsnLsldcpe7Sz7v18vL4fBLcvnd8zzfhY2d/p6P95+r95zrQJ8IJq/Tsq7xWkXFVUwVm3q1NDK9Ue2ZVAOTzgz3wNpfrzceiMX3UE2vGI5vldXZmw+NrxnsQRzlwoWoqNato6IWLnz1z3rM3a2uEZXS9tzX6QdAtujCgCqjt0vtjXKXZ8a3sjqyKmqJNIkaK/2jysiOV97qygdejPryS62iIaa19RnJHRWU+Zr6pYdHVNSkSeYPt61iZu3+RFJGXZMAm6zLbt6MivL3RxOjqKj0DfarfY4tIdkIB3i2cuH2I+P3BLojWAp7HPy9kRZWS0ZPpMubV/v05i3wTCVdFR+6ItZKcVwnDltRef/p8EeqCkcF/AKiopYvf/X5eJ1g/YvAkTGIkP12VFCPHap6MLa1p/58PE4IrOP0gEKHjhHG4NWOzr1jfY39/vuL6goEDWJ6zY8xVJ8jEe7m/adR/fq9+CdLlYqKOnky5mtDIqP+XFSDI4kItp66ZdyPme4l9A4GqHi3FpIZt2/Xvn8RBC5QQPv+iP4Da3104/jgg6ioX37R7pNxQYJG4UH/vJI0te+9PlFZ395oTObLkiUqavfuqHj74p+j6uNH95D4JAD9e+y68UwIr2N0bzENju3ahfuGdvkISCbkfAPHmKiK0j8dY8e+eA3h58mTEWjTvgbuvmFROTv9p4J2iVkBia+XRcluMZyxxPUDZ0t4v7eWnrwan8BKbPZeuGvsiBHT60c/s0EiuLXnIHoCPoJklkKynv6a5rrYetbEDRJ5fLDzOo6mkwZ50AwyDqbPMf27FD8FM/tKG0PP8dHLjqo+lbaAORP4pzDwNqb+ls5CH+664tA1NavEEug7eyM0XALTpZI3y1vXmxP9dr9oWUJ8vT3UwOYZm+IYTuEkboaGq0G0ENuANl1IznQyu3M5WfxBJTWvBfMaMHwTw+rwM9oqT2pXSgpk1gZLYiDrqlUivr4iGzaING+u9Wm21u3bIgMGaD1+J0zQ/g3cNiIitL7JhQuL/PabtoKIEfq7os+rqREjpMjUr9R1z/77nlSvFSn374tUraoN3DQ3jHHXuTvq53gPi4zj8wt7Lty1+PsW14Ne2fB2pdzSxWSwMXquoh8tvmYZ03ipmSFNJ2+RHzeftfq+gJkI/X8/oPq/YlYH5lT80qWcjGsVFGsf2PjA91PDElll17QSUr91qPq9478VloPdR0kKzLUxo+SMCVp/X1sZOVK8RgyP/TnoJRzP//P0zUdqBhEGmJY1DJndvFkbwIwvzbvvaiN8YlKtYCb188aT2twrR0Of/kOHtO9xDNnF0FV8H2HYp7XQ4/6PfZfVYwz1Tex5KO6jR0nITAsbsg8ZIk+HjpY2bbS5W56eWo9y/Nrewp4+l17z96pBwtjutS4TKAu6VZAs/vaboUUUXx/UyKcGy+K12mv+Htl/8Z7xz/B+hFkuzaduVbPR8P6CGYWdKuVOkvOQnB3mHvWpW1A9nrnprNx99NTqfwPznsKfR0quDKmlcBbrh40D5nxhTg1eM5ir5SgYmI25Bpj7YQoDlFcdvq4et7VDT3/TfR1mvWFtgPk6CYUZeLP2lJTjvadJF5kpHvJM1khdaSpLZYB8IbukrLhJpFSTDTJRPpQLn0yUbRcD1VyLfPliWFu7uUmeEZ1l6+nMah3z/LlIr14inTvHb93/yr+PWYCSRr6SvpJLzktWuSo9ZZLcE/8EzXLAmMT7990kU67HkqbERVmw46LYCmbPNJuyRZpN3iwXblu2F43L6iPa661M7vQvzWGMC2apwbazt63+P7Nm1eaHZMsmcuakh9z4rZxUyZlFrV9jkiN9aqmfL5fc/L2sfDU0tYSHizRsqM15ws/R4TaP9eORI1hWR0qKlM8l/HJ6OTi1jHR7N4Vcu/bq3zl3TpvNAx9/rK1DEwLrt++/1x7P+TmFNM4YJL22zJeyP34b49p/6VJtrhb2o++8o81QNPeWtffCXePZwJjmJSSjn6eMGyeybJlIhgwie/eKYPw07jOm8D0/bJhInz7ar/v21a7R3TBSo2K+DGrvB9ijhT55pu5L/x7XBha1DAm0+vOAuVLlyon07Cnyyy8iJ064Sd2x/0lA6+3S/oNQadJEJFMmba2vza4ReestkZw5tfsDvud//lmbcxTd0v1X5fGzCFn+eleJwjcfPlkjRsilpuPl5vxKEvHQW3yzPpItWyPV5yM+ztx8KDMNn+shTYrFax5bjUIBsrJ3NTXXBTPhvl59QjrP3mWcU4mZOph9g/MNzJ2K7/kGXsOVKmlzpnDmsGiRyGefvXgN4edyje9Ini7bxSPdI4kITSWX55SX/cuyqPmd8WbuTCQG+Dq9tXymzOtaXvpsmWfVf9Nr46szezAf0c/bQ83kKpLVT6Z1CJGf3imr3u+t1ahEVvXz8oPaHHdbwfkh1CwcEOPr5+1KeSRfJh+59fCpmg1sKaynMOcMTM9s4lI5f0Z1z71457GaV0n2w6COwb17LzZqGTNmjPP5GfBuZubvRhceHq6GHJn+IPM+rlNQDdNCgAHDhW1Bv2HiDc7ZFc7ipwYc4r0XwZq43A97Jt+tP6UeYyMbnwFkWf1TyZAmRdXjCatOyMnr2mG0M/v5v3Py9HmkGipdNrcWULBE9OCOHh9AAAELIVMY7ofFio+PFuB54w1tYKQlcDvA2hkBHAxIfPRIpEwZ7d87fVobFpk/v8iVK9ohar16WHzG8g+abD71zV+9YlnkvaBScv3X8hIW6i4FSoSrRTau15xd5+9qH5cVny9LFc/uL57ubmqBgDdtSxauXX/epb6GdYtmVp9/cwdg+Bqt7F1VHQrguSP+PiJvz9qpgnqWWHPkutT7ZoMs2KVtdrGBWPVxNalaQAss2AuGEv7xk68UKRIlEY+8Zd/2eqqk0x5BlngN80zA/7nl1C3j6wgLxsOHRV57De9zIk2bapuk2M4yqxTQ3lsPXX4gtx5a9nW0N2zysCGZPVsEMwi3bdMCu/hYrIkhIkiB578WnE1KBJoc2CSW2KJp0TwRL2kxIlj++EPbCONnbO7sDckKGED/94Gr4pHCTUY2KybjWgZxeCY5Lbw3jWxWXL0fPXkWKV1m71SvYwQnP/ltvwxYfFC9P9UqHCDLPqyi1iXkOA2KZZGiWf3UYOXvN1qfqLTi8DXjv5OQwFyr0tqh5KLdl2yWpGYrOJh5GhEpJbL7q/WbPXWrrkVTkIh1IzQhUZIXco3/QKo2+E9OSgHpJtMks1yTurJKpkk3uSpZZYPUkA9HZJIc4z+K/R/C2honjIMHq7Xz3LnaQHgMNf/pJy3B42ICYiV3egyWYTXWq2BOP/lKrksWiZIUMkV6SmE5JvPkTYkabn1A5+hRke++0x4PG/NM3FKILD1wRb3mE+rS3TD56Ne9ai3z6GmE9F2433ggbIugTr2ima36exUNQZ3DVx6oPa+1sA9btSpKPFI/lafX0sqW7wrL41i2Kdin/TagqDw+EyDiHiH9h4epvVXmOC7b21sk+LVrkrXrekkXfAX99GTWLJGCBUW++kpbIwP2kdj3YZ+IAAT2iLaAA/b339ce/zoohfTcvND8E4cMkVWd5qpALwKYCGTOmKG95qMLfx4h/X4/oM4kmpfKLrWLvPgkNGoksm+fSJUqIqGhWoAI/z8+t/iWQrAKsQ8YNUrkyy9f3Rv0a1BIBc+v3H+iknmX7LsszyKipHh2PykUz4B6dOUKp5FUeW5JoYYXVSDr+nWRs2e1ZCZcI/b6+NjPnBH19erUSSR3bu11g8Abfk89f6d2I0DysRv2T5GR8n3AYGnWzE2eh7uLT57bkrbNZll+9nS8rhPvEcOWHlEff41CmaROkZfPJKyRzielTG0fIhNaB0sqT3cVpJ1tcqZUvrzI8uUvzjfwWrD0fAP++0977WL/h8Dppk0iLVq8+h7TfsZ2eeJ3W2p/dkBebxkhERFu0r+/qODazZt2DuyMGKG+TgG+3lIpf0Zx01+MFgodMEh2DqwjB4bVk+OjGsjZsY3k+KiGcmBYffX7/3xUVRoUzxrvNYIe1MGeOj73tZheQysOaWeeDWI580SAZVjTYurxz/+dl+PXLDv3m7fjgloDF8vmJ+XzWJ4g7OPlYbyPrz2qBW3JPhjUMXj48EX00BvvznFIZZIOH4p3tBiMHTtW/P39jT9yIHWKzArw85b3quVVj79ccVwtKBICh4Y7zmoVCg2LazdQZ6dX6yzYeVFlrsTm+42n5cGT51Ios680K5k9QZtPHEhgk4cF/POIhKRR2BcOUn7ZpqXRdKuWN15vqHpwZ2nPKirLQs8Wiq5yZZG//9YW6/hZz+KLCW4DWLxiMYjzcvw6OFjkr79EduwQadBAW9TWry9y8KC24MWBKjLJSpTQ1ikxbjZMNp+AINDEPtkk8rGXpMxyT57W2SC7r5h/s0T205mbj9Tj0rlsH9TB4X6xbNrBwO4L2vdbTG4/DFeBmXthzyQ4R1r5X9tSKrs2JhnSeMnMTmVkRLNiKktmw4mb0uDbjbLumLZBjOnjxaYUgaPrD8IlT0Yf+a1bRbWIweIiMeDtYW6NmeIpT+UPaSE/iSEtz56BHSsO9eP1fFTlGII6yLzBYQde09icYkM5f76IRxyfXiywkeGk/q2T2r/lDPB92bGj9n1Zu7ZIWJhIjx7ax3dJS0yK1aaTN2XTyVsquPlpvULiEBZuWsIklTSTv2SZNBFPr0gZP/2BNGho/0NHfL1fm7xZjl0LlYxpUsq8dyvIWxVZ0UDOD4H6Ke1D1L0LyQudZu2Q16dskcV7L6uKWRxOzexYRtKmtjwDnewjRQo3+aSeVq3z09azVgUSnjyLkHVHtbVF/QQmgjUKyqrWLCdvPJSDl++Ls9Cry6BtOfvvR5EAEpIzrQp8/rQl7mQ1S2APMDS4hSyvWV2mSXe5JlllldSXbjJdMsuNeFW+AN6KUFmAg07kbSKbH5ntqNi3Bqoz+vUTyZVLZPj66nJX0ktBOS6z5G1ZKfXUYwR42ss8qbtxsFjb7ANVD6iwQCJN9zd9JW8mHwl7GiF/778iCYE9d4+5e+Ru2DNVpeaT0l12nLujquQT4l7YU/XvABK5rD0XwMeHINP2eFTrgFu6UMn4xnZVRXNwl5e0bq1Va5hCtcJHH2nBils33SRDjseStdMWuZXrcKyJSqbfV9+tPy0evuEydPwj48E39oF4LRQvrlXH4FAb+8G0abVODSlt+JYxdqxIljShcvxWRhkrA8w+Z71Ul9d/bq4O8XEQj8oUvXomuv+tPanuX+iYMPQ1LfnTVGCgVu3x+efa9w4qcSpUEOnQQWTiRO05kyZpFfDmPoepU3rIV62C1Z8haDL531PxrtKJq5MEKo4A/xeCNgisoYMGvhZ372pBDnydEPDA5wOVKEj0QvUOum0s/zxEbv9dUsIO5pRTp7SvI4JY+D5E8OeH+Y8lhddzmbj2pKrat9aqI9dV8CWlewoZ+lqxBK+L8fdbhATKwMZF1K+/XHlMzt3SzgEAwTi8HnG+gaAlgnLRvyfMmTdPpGZNLShTqpT2+cM9UhcZGSXjVx5XnThwpoSE6j96l5PFC91l+nTt/0PgFIlzGzfaKbBj7v5vRYUPnuc/ZoSqyPHz9lRJZ7bep+QPSKPO7hDEW21YcyQUupqcux2mgjbRE5WjQ3IrElcQsB+65FCciSd4/9YDg6jSsfbzUdsQpFx7jEEde2JQx84GDBgg9+/fN/64mJC0n2QAQZ0AXy+5cCdMfvnPTA2sFdBeABkmyEZDSbUrqF4gkyqLRMYVAjsxufHgify4RVto961fKNaD8bjg5oyyarRh23/pvkx34jZsv+28qAICuTOkVtUqCYFserzxxfbmVKOGFpTBwnvxYu3gF4s4U6jEQTk6gjlYN+CQu1gxkd9/F9mzR9t4Rf8vsLDBOT4yXXBwjAU2AkL4ewggxQbVPrVqaRvHoKAo6TzqokjKZ/LB3D1y8NKri8ndhiodLCLsdehkbMF2/l6sByYItOB7O0f6VPJDpzKSKmXcGfr4+nSsmFuW9qqiNpq3Hz2Vzj/tkqF/HVL/pg6Lkr8PXJG6EzbIX/uuqMO2btXzqoyaclZkldhKqWndZKRoC8sP5X9yRvLYPMjyEiszkax9PoK9205rm+qgjJmMAQ+0EcTmILWFt9hqBbVqHWxgnA3aMOBA53//075H8RgBV2xkYlrzYhMzdvkx9bhDhVySM4OD3mss2LQ8FB9pLMvUAZib53NJ32K7jD+yScqPWSMDFh+Qf4/dSHAyRXT4vpyx8Yx0/HG7FswN9Fffy474niSKrzReHjLr7bKS1d9bJUlgA421KoKTH9TIr4IJ5ByQpISKKWSV4qDVUltP31LVCZn9vKRkYMIqrnAYVN+wRv19twWZAYkE60G0UUUGd9PgbHb//7B+06t1EIxJaDUJKrXRVQDSfTHSbHvi+AR0TCGxAwEdHDzi8BK/xpogroIrtG1C6yccGqM6A7miSOxCa6ojwxbK2zJb6slqOSBBMrLWv2qNsXYt1vHafiC2ChId1iQ4gEYCDf4PfH7bGlqX69UE8TV86RG1B0yb2lMlU6GKHr5adVxOJKCLA1pq4fAQh5i5MljfqkjP8v7vzO14t2H3yvJAGn5yypikh4oMfS+HFrwIwOBrDGi/t2FzhHgHhMqaozfkkAVBWST1HLn6QHUb6VgxlwpuILCDiq8sWUQFArAX/NbQEQ0BAwT9bCntpJEy8WEX9RhBnWPycoLRVqkoTeRveSyppbH8LV3cP5KJ647LrC1n5a99l1XizdGrD9T5AjqmTNugnQWMer14jHtHvA5Hj9Y6UKDqHW3qkOCF6hd8jPh+iA3Wge9U0vZGSJhAYlRCklRj2puiO0BMa1tU6KO1HvbxqNRHkAcfD9qnV6woksI9SrUPe3g4u3zc01O1gUTlkX67+fFHkdblsqsqNBzSo4LXmnU09rEjlh5Rj9+tlkclItpKu3I51fcP3gv7LTqg9is6BGf08w1U66MVXUyJq3o7vfbttaoztAxEUAaBPVNDlxw2Bud61MwnU9qFqH0+zkDQnhtBIOwZ0akE/z/OPaKfqVgshvb0Md7/LazwSej7h6Ualshi0xZseuu1agUyqvVqXBDwQ+LJtjN3VPeE2Cw7eEWNesCat0mQ9euGmoYgE9YfCPKTfTCoY5AmTRrj4ycWNJh8bLL68kVzyhh4eXmJn5/fSz8oZsjc0HtiT1p3KkFlif8YyhD1G6crwMFAlypatRJasMVUNfO/dSfVmzQy4BJSpqvDPINhr2nlmN+uPmlxOWZiwudipiFjrEvVvAkKZFkD7dHQngmLVyxWu3bVimZwC8BsHGTxoJcsZuig1B4HwPv3i7Rsab6k3RT6+GKDhn8fiyOUeaOd1euvm+/ri99DQOfyZZGiRVHl4yYTOxWTKvkzqky9d37SWsOYm6djj9ZrOr0CSA8gRYcNXe9f98neC/fULJuf3tHm5Vjbn/3PHpXlncpaZdXs/85Ls8lb5Ng1bRPy/pzd0nPeXhX0webxjw8qq9km8elLbBPDh0tfGS9VZaM8FF95S36R5+Juu6BMdFZmIlm7cMVmPzT8ufh6eMln3f1UD3H0KsfmJ3166wLXsPHkLadrSwP4nsWmHr3C0ZoBQVpsZJDZd8tMcdFf+y+rzbyvl4f0qlVAHCqW18B98ZP6slLWS03x84uSr364J22beqtgPjbT83dcVPeP0iPXSM95e9Qm/9r9hLXLefw0Qnov2Cejlx9VCRaoCl3QraJq+0nkarBOmvVOWTXDsGahTLLsw6rGmQ/kPHDQ3ddQMTl32wW5cu+xVYciCMbYIkjX0tCCbcn+KzYPlscX7vPQJCir+Hrbdq5gTOoWySx5M/pI6JPn8quhSii+vlxxTK1DggL9pXWZHGbbE9sCAjNbtmjv/Th0RBUHAgHmAi+otMFcErRVnjJFO/TEoT6SXbCOQGWI+9BBxuv0GjFIBq2tqZK6cJiMpC4UaqOaA+upmODAVZ9RgsNy7DcAGfloZ4qDeKyH4wOBx3nbL6hP48S2pSQwXWrVakp1cXgeKX1+2yfP4tnFQZ/fZG2Vjg7zV+A/Q1JRfII68E7LNC/t5VCNjVkyaI+NKu2AAK1qAcGdYjnTqFa6MGld3EMW9eDxm+VyqvZX+loSrxl0VsAeUa/KwdcQAR6bGzpU3pCF0lCWy1PxkvdlmrH18y4pLQ3lH3kkaVSrwt+llTRYOEmdsyCY99Gv+9Ts0YYTN0m5MWtVJSr2bY2Dssbaysl0n4x2bHXqaPNakNSIJEhLfFq/kDGQgcNfa2YuxQXt3fDvoWoELfwsgetHR40xY0T+3RghRT9bJwFttkn7bo9UhQtmGOFriSon3G7wPaOSY1uUUP8XqtFR5WSpqetPy+V7jyWbv7f0qJlfbAnvY2hxjCA+OtfM2X7+la8bElbxMSH4jMqk6EEW3PPatXuxRUVFE/6OybGpseUaAvf4fHzVKkg+rV/4lfdRJMnt3Km9NvTmI/hcm5s9ZRFr7//WVvjYUWNDCzZ0engQR2cea1rH6skkcUGyOxKSYMzyo/IohoQL7NN/MJy9IWAd20yy2P4vnMvgnoKOK2QfDOoYpEUtrMEtcyc30dzGCa6Zv0sJ90aZHOqbH0POJ/8bj4nVhoFeWw0LQFdpvaZrEZJd0qX2VIPdUZIb3fnbj+RXw8asf4PCNisLxf9b26QNW3wX8Pbyz6Fr6nOCRdMbhs1yYkEPWPTgRVk2Mq8QeEFABovzGze0wA6ykrBJQ5u2mMrZzcGXD2Xw6JONxRI2HMieKVJE67es97pFVQQCOhcuaJs5ZPghMwpvsN910FvDhEunH3e8NCBYn6dTOpf9MuNDcmn3QGwozS0MsGDAggOl5TM6lpF8maKtBi2EAA1K09E2D0Gh49dDpenkLVJnwgZZefi62th+VLuAqgRAezeHGjxY3EcMk5+lo/jKA9kqlWWc9Df71GdDR8n5joPVIQJeZ+PHa4cIeF0ggxDBE1TGxFnoaUFgJxIr83gsXNH7NypS5NHK0rJls5v4+2sHENZmG5bOnU5tMPBaPXrV+YLHOmSTbd2qfTrxPblwobYhwabfNMNu/Eota/j9GvlsuhmNNzOvgbuSVurKavUaxHIFweBP3soo37YtJbsH1ZVfupSTDhVyqiwsZFIjawub/Apj10q50Wuk6+ydapO6/vgN1d7Q0t78Lb/bqqrmEIAf3rSY2ug5LMhKZKPZh5v61ZRZ75RT7TnIOVXOn0H1fcd6FgeXliQN6XM/0JbEFpBsg6ofVCiiCtLRsKdCxi20LZcz0f5fHOzprbVxOIQgQXzsuXBXFhqqnvB+Ykzsitae2FZQfYyB60jewpoej3GoqydcIXkLyR5Yq2NfgKALqnrWrdPWDtg3vLQ9i3ad2DdgPYED8OzZtbkeCPJghicSt6KbOVPbYyCJxnR8ItbCdQzzTmLr8BATtIsa+MdB9bh37YJqfhhgb/lFixKqcgeVDpZ8H0WHNZJ+iBffoI4eOMdhuaXrD9P9Mv4eXitoAYT2anPmvGgXhgQeBOHweUeVCf5c17NmfvU87C1QwRITtPZCFRH2H+YGiCNIgNZo2OMhqKRXedjc8OGCl9tU+UBSyyM1Wwqtn/dLkNSTVfJA/KWabJA/5XXxlnDZ1rGXvFUhlzpcrpA3vRTMnEa1xtW/rbL4ecsIw+wNS2Cfsnq1yJ071s1oRCUH9rAINKOVqS3hNVzKsBdEUqG18J4Q+vyJ5Al6JLOnplbzY5DodfWqVtliCt+HY5oXNwb59JZvsblwO0ymbdACgoOaFFWJzbaG7gGfNSxsnP0ZPfGzcWMtoKPf47p1025TgBlEOHfAvhT7INyDUNEUPWEVlXwD/zikHn9Yq4A6x4sJgkE4L8E9E/dYnGWgKhI/A+6j9+9r90AERNHxBFVBSIDFPgxzjtDWD99TaO3X5+5g+WNRpEQNGmyfCh87KZDZVwoEpFHVXZgBnBC4z+Eehfuc/l5gCXQzQZLS1ftPZIqhwio6BANx/0dVT7vy8S8vrGVIQF/nBGuhpIpBHYNChV68kZxFunwcTJ9j+ncp4XBT+qyR9gY0e+v5V96ALIEelYgIo12TLUtZEwMOvdDGB/TouKkJq0/I88gotfAub8MsUT3TxM/bQ/UA/96w0HAGyBSYbhh6i0wBRxwMovIGCx4s8rG4wKIOB9pY5Bw7pmWexDVTJDZY6GCxhGyn6tW17BiUf6N9AzZ92Cxi04eNIDaNKOnXIeMSgY7saVPJmVuP1DBnbKbwQ2/JVsYO83R0yLxHWxpk4++/9PLCGaX9+ut4fOtgm7RdQtu8Fb2rGrMIMVsKbRYRzPm4bsF4ZZLYxeDBkntEF5kiPdQvh8kwGSGDpbd8I61koZSXbZLN94F4jRioMkNxYICg4KefatmCKIlHVhNeaytXWtjfPZbAztdV2suCBnHM94mlvcSd1cXl7K50KksNgUcEOayF/sR65uXGk86dsYPvZ3w60ZIBlXHIJsNBDdoIIAA3YdFluXgzXG1+O1eOo71eYjJ5DdySDFJL1slOKafmBODegQokHb5X0F951OslZNuA2vLHB5Wke4186r0Tm3uU3KMFCd53MA8rZORqqTJuneq9j80oWhZFzzLD7yHYigqmDD4pZW7X8tKpEufnUNLA17GLVOvU1/ZmC3ddVIcescHMD8wSQUKVrVpDYi/TvFSg07RgwyByVPjj8BZV/ompeUh2FQTF4dHSeMx+Ub3//zqsHrcuEyilDG2V7A3f6r17a4fVGTNqB4yo7MDhPw4iMRcFBcdI9MI6ATMy0VbI0lsEnoe9BQ78MbgdB6tY7yOpBMEkvR0SDjn1QA7aIKWL9uG3McxH+mMvvsaWV4WhG0b3OXsk/Hmkqj7sVSv/KzNtRjbTDqpx6Lf/onUH46iuQRcBrJGwRo8PHJbjNQs7rJyro1fpIGihtxBDIA4BHcBcU8x/QXAtc+ZXD131geaTYwlo6Yfyr5fKLtnSxlyFjL0bErWsSfqLz7ovt5yX4aK1c0a3ACT0YK5TRdkqf0sTSS2P1fMqzZ4oI18vrubF/fpeRVn1cXXZNaiunBrdSPYMrivrP62h5ppaKz77YCRLTG4XIvkDYu58E1+lDPc6BIWtpQdJ3ygTaAwiIxARU3eCBsWzyusls6m9MNqwoVo9NiP+PqL2sEhCwPwZe0HwDu9r+F7sv+jAK10SEIRDlxEEa374QasERJATSYW4r+F+g3tgF62730uQCIZOGY+fRUjVAhnlw9qWdSxAFRv2t6hQRPAIVV6YR4uqISSfoXsJjlex78WZCIJPqHpENdGHH2qznFBNhfskvq9Q/WbxhAs7VXhaq6Hh/pLQFmym9zm9UtASOEsbYmizOXPTWTlrMndJp5/foCI0IYmLSBqH9cdvOvXsblfmJCdfjlfC5HRqJ+4ysbh+/bpxNk5AQIBkQro82VSNgplUlhuy7L5cedz6qg7DDVJfkLkavAGjtyzaWZlmeyCjCpnPesmyrWX285bhzbTMHAz8OxDtgN5RkAWFQJO3Zwo1X8VRcOCOhU/lyiJTp2pZJFjkYBFiK5irg+GTCCChHQACRsjcw/+FmR84lEVWn7mvHQI7CMrtuXBPPpy/V7VjwPcQsq9Qhm5PIYag0R6TFmxYaGDRCsjAsmUPd2z0MJfnmzbBaiYUDqNRreR0Bg+WDsMLyhvymzwXTxkqI2Si9JZF0kp2SHm5GuqrDgXwGsJcpmrVtJYfGMSJ1hB//qm9Hkz7u6Mvd6ydy8wEdnZ16S2TKr+pMrVuPwy36kNA9dW6+enl4b5c4uYWJXPnaovs+ELPX2edq2MONhW7d4t88om2B0AgFwG4gW/mlIsTGsrBsTWlVJC7OsxBmwI8D/3ukRGK7DO0qkOf7kTtNjd4sFzv97XUlH9ln5RS95L167XhprFlVOOwDBWgK3pXk0PD68vv71dUvfWxUUULHUDF5LKDV9Vrqd2M7RI0bJXU+nq9fLxgn+oN/tYPO1RGLQ5xlvSqwhZVRJToyuZOr5KfkASF9WxsVhpar6GawMPddlvjVqWzGw8yUJ3qKDjE01uvtS2bM9EDk0jm0BMfvt94+qXZDpYermIPgHah/RpoSX+JCe/tmLMTEqK1YcWwbxyAYsA4KnaWLNGGrMcXqjkwuB3rDLRuwzwedAJAAAmHqphbgvUfgj0Y0B5dtQKZVGIVqsLMdXgwB1+Dj3/bp+ZcIlv7mzYlzbYdRBsyVFEgsIY2bNYEjVYd0b6v6hQNSFBLQ+NcHStbsKHKxlz1HRJzcNSDYBoOiGP6dtCDXMsPXTU7V+jUjVDj//F+da0azaEMa/+PZKIEyz65IxnkpgRIadkly6WR+MrDOA+x8XXC4W1SqarW5+rss7JSB9Xmm09pnXveKB1z5Ul0w5sWVxWaSLD8KpbzK1RvrjmqdZhA5aE978n4mn7ZEpXyKVQXm3lm2mAiYIIKGlzGd99p9zp0BsEMoe3btRnD5t5XBiw+qOYMInD7bZuSVrXGR7Ic/m20tQfT6RcIfiK4g/OO2II7qCzC/hmzsnB+gmvXK41iZacKz/i0YNt44paEJqAFm946Nj5VxljzYJ2Es6LhSw+/FPBDMgyS5KFLlYSdvWFviapPVAzjjIpsj0EdgwbobWPwD1ZrsViONH2DRqa1umQzeHMb0AitxURldeFw2lK4YehvxI1caJ5O9OyopsHZX6nWGW9YIGCRXTyeWU9xeb1kdqlfTBv49+7Pu+T6g4TNVbAFDNrWF1aObnGETdzmzSLdu7/okWxreN136KD16kbGDDaPWNggoBNbuytkls3sVFZl32Nj12fBPvX7ZXKlt/smXl8462/W+J796Ne96iAbfaa7G4bl2hI+JmTCtiuf06YHMbbmNmSwfD/gvHSU2dJO5ko/GSeTGv+jKnFwUIAKECxmUYmFShwEA9B6Dz2/MZASi2lUhuA1gX7HyOjE47AwyzORSn7/tQp64f449p9jVl3/0K/C5M5GLYiMrMZWrRL2+ahqaO+x69xdCXuasMHJiQUDdtEWDwE2tCNIl/mpuHlohxthD1Oo71UETdCrHYczaKWI9gzIPsNGA5l9yELDvKxz5+x/vcj2DfqpjxySEqotBl5XyIizBlpBlMmdXrUUQau2dX1ryIFh9WRe1/KqnQPeX3EYBNjUIUv4xy1n1eFPi1LZZeH7FVX1IBGRI3xSTxs88ufey+oANqbDbePhr42zpZF5jlawCCzpCVmOgIAIKiexNkSrZUfAOg0DnE9cfyjrT1jeggXthL9cqa1ZPqlb0Op5jLaCtTfW/kja+OADLeEK7/dBQbb7P1CZj7Xe9OladjwCRpUqaWsKwBrEXBIZDlL1lkcLdlo2twiVN2iFg9fEtA6ljZUs5qBaB+1ZT9+M/aA6+vcVqnyhbtGEfV/piSFI8LMUZm3qcz7N/f8ImCGRKq4KEhyUYh9jrlrn+w3a3rRe0cx2qTKJl8GDxXPEEJkh76rWzyGyW1ZKfUkr9x1aleAoQTnSqqpzzK2x5jxj4a5L6uuOKhq0MLOUf2pP+aKldlPAethcIBKB0WFLtcrDzlXyJMprJ3dGHzXnBsYsO6qCVtFhX4mkNcBeE8FsBJUR2DFnzrbz6owOganJ7UrFq7ILlU8zZohcuaLtjRA0x3742TMtGQ6t53GvxV4ZeywEb9AuDhVF2I9Om6Z1OKlYUSQ0VLs3Y8+MPZmzQwVivkw+KqCy1nCvtBZe0/q5S714BHVwjjL0taIqkRzJJ6bXMWvLOfU9UKNQpgS/RvEehZlZsPZYwtrNkXnOewqWyKpXry5ZDP2M1q9fL3tQY21GRESE/A99cQza4oSX7KJYNn9pYWhdgDcgS4dqrz16XQUk8gekcZ5FVjzovXkxSwaLEfS1/Pf4TfXmiY2NveAGP/6NYNXr8/qDcHnvl91WZWbZGrKj8HHjbNpcv+KkDFkq6B2LHt7I9sccn7igxBrZMvh8XTEMOi+T2/6tKkrrlToX7qrsji4/oQVcpFoMjGxm3ywkV5BuzKcye8QFmev2lowb8VR6/t1QHfAj+whtH6L3KDa38MVgTixikcGEijFs9hEIsiQTCUGvUa8XN7aCwf3EEhj2O2Godh+t0PyG9OqV8K8jKj5w2I+F7DYrNunOAJliPy96LBm7rpUcfVbIXztuqGxPBFxRwYRDl759tWorBH/Qb18fu4fe7WhbhyAPnodNi62hVR/auaC6D/O+kAmHgA4yfG3Bz9tTKuXPKO9XzydT25eWzf1rye5BdVSVYJ+6BVXCwbiWJeTr1sFJJtOTiFxTUGBadeCKwpBv1piv1kHL2GsPnqiAQ6V8WhWpLbUyBFEWObAFm16lgxY/sR3e25N/Kk8V2IFphsNwS3y9+riqQEFLUL01taMgMQPv3VOmxHzQmVBYC6KSBIeSaFGErS8OWOvWfXnmS3SYNYpl9pZTt+NsW44q6QlrtHmAo5oVjzNJEC19MHBdP6i2ZN2279I9uRkaLr5eHsZKm/jSW40jIGhpxZtesVQyR1rJ4u8d7/+7V22tWmfpgSty6sZD4+9fvf9Y/tx32ThT0akMHixlRzSVi5JDdkkZySB3kmVAB3BfL5jZ95VOErFBYhLadkLrWObDxASH128aWiJ++vt+1aLM1MxNZ+T87TAVKLW0XZktvF0pt9qrP3oaoSpszJ2roQJG7fsmaHNTY2o1h8RNvRMHkryQAJYQWbNqgXO0iUZbRGuODLDPwbwjHM/6+GiPESBHezZ77LNsBeciekchdD+Ij1WG1mtoqYqOLfGRN1Ma6VJFqzTE1xRnfmirrX8P2OrsraahBdu6eAawKHYM6hi4u7vLEJPJgx07dpQbOBGJ5rPPPpN9CAljEGflylK/fv1Evc7kpm/9gmo4F/pd60NM44IgCDSyY3/SxFA0m59aCGNx8dOWs/LlCi1TrXXZHCrjwp4wo2VmpzKqVBI9lD8z04M1seizdJAtZe+P21mht6yfFZ3FsEgY3Fjrk2oacLGnoln91PcqNt+tv/9Pbj96KsWyaX2SnbmKJlElsNwbi1yUmyOAgHZayOJEtiHm7VgCrwN9ozHoz4PyLI6+tsjQQv/xqEg38Sl+UQYMeW6zhWw1Q7UOys5dzderjqs+2BXzpZfXymRSAZO4Wq9hRhZaq6C9HiqsMDcJs23QesAWcHvG4FFsbhYvfjEPCPkp+V9uk29zyM7DnCtsTie9WUraOKC9DxGROX3qFVTvncsOXFUtjKNbYTgUwYGDPQLRCHSndE+hKmWOXIl54Lop9JzHwTzmk/2266LaA8RnvqjePhXzdKBNWesPKG0JLdiQEYykEktmXBy6fF/mbtcqT9CiKDmtJdHZHe/pSMpAKzYMCI/tbTVH+tSqbTngNRMTZOi/qKLPofaUlsD3B56Pv9d34asH1dGtMlS/VS+UKcFzLtGhAUE9sDQRSJ8zkdDqOySYYvg4Pu6pJsPEf9h0ViWQYo6F3qnAqQweLP4j+mprsWQa0IneHnyvhV1f0O0FSZEIRNePR/UDDGxcVFWyo13x6GVHjb+PJN3JhtfRwMZFVNApsaBa4stWQWqvjjmpMd0nMDsUHSFi6kZyL+ypmquJ1z/OZpwh4RbJjr16iRw+jO5LWhLdwIHaPgtVPs5KD+psOHEzznuqOStsdJ9Dq0m0DUQ7TnTHWbDjogr+Fcrsa3xfSajqBTKp1+DJGw/jvZ6hmCWf1ZEF3n33XamLVBjMLjl8WIKDg1Wg59dff5WpU6dK1apVZTxSdFQGfVr5Xp+0R3YdwN61qvZmgf79cR1C4oaIG6PpADJXpn/sKIHcdf6ueiP+KJGyOnJl8JGp7ULUDfjPfVesyqyzlWv3n8hfhs3oe9WcoF+xC0FJNypketTMpzLV7A2bNn0QKiq8svl7y49vl03UBWtygcAAAgTo4Y6AQcOGImPHWjazBfNSsEFGxqNpa8foUO6O3sUIRnjnvSEZGhyUKoZZOLZQvaBhrs5J15irg+A6Wnl8tfKYajMGAxoWsTh4gfZt6FGN9m1oG4DsNwTl0DIALRYxCDm+UMmH18A774jcu6dVf2ETg308Mt6IiJIrtFBqEqTN8/tmtVadoEOy0soE9KO3BCpjahfRMlQX7blkfD/B4d72M7dV5ey3a06og/K20/+Tyl+sk0KDV0jVL/9VM8v6/X5Ahi09on6NP8fzrWlbimAWDmdyZ0id4IqJhELFBFo8w/Q49hRo3zXkr0NqXdOsZDZjtUZyXO99/bX5WZrRYV6S3jrK3DDq8OcR6jD2btgztV4f+po2Q9Wag+oc6bWD6lGGLP2YrDbM08HMBluomM/yuTr3w54ZnxffQ3lTHxqqdVCZc+7WI3Worc8lQdWy03KCuSHOoJRhD2xppc5vO7VgB2ZJxjfQj73vV62C1eP5Oy7I+uNaovjoZaiEiFRdNWw5Z9ZS+TKlMbYlHfX3UVVxZg3cl/v8tl+9f2FW75dvBDlVEheqfTAlA3OJUfWDfRb2ykiki7VluYMgWI3uFUgURKcha6A16bYzd2xyn/Px8pDPGxVRj6esPyUzN2vvz52r5LbZ1xetCcsYAqxo/Um2xaCOCQ8PD1m0aJE0QYgaB8rXrsnIkSPlzTfflB49eshmNNNVWfOBsmzZMimGHipkd1gwZfBJqYbO/WpmuJsp3CRwY8yT0ceY1ePKUMKLmz36ccM7lfPEu7wyPtBmZ1hT7XWOntZrLKyWspVZW7VMqHK506sha2SdtyrmVj10E2vBpVcEod3CrHfKJeprNTlWbyGDE206cOjx+eda2y30FI7rgElfuE1cc/KVvsooVUfpOjKd7twRKVDsqWRqtkeK5/C16Twr3FsQMMYsFnO9nZ0BFswIKvf+da+UGbVaWn63Vab8e1p9vpuXyq5mJcSntQraGyBohpk7+LfQygUVNosWWRaY02GvPnmy1s4N1VoI4Iwbp1VYofUAERGJfFyngJqrgBkfe00qRI5fD5Vzt8NUUgpaxdpLq9JaK+l52y9ItS//lUKD/lHBmzbTt6lgzrdrTqpgDQ5ocFiGoA+qe7CXqVogo6oGwDIOf47nlx21Rj5duF9VvMRVRT/fMGPFWSoo9QStlUeuyembL9pZRYfkCcwK8EnpblyzUOzqFA1Q6zS0EzSXMDN86RHZf+m+6sLwXYcQqw+scVA9vlWwei3+uvOirIthNgK+rpi/g3bhqOK1hYpWzNVZd/y62jdjZgW+h2zRxrFmoUyqjSNmEf3833kJexqh5lRiyDi5RqUOZovhjCg2dx49lVWGgCTumQkNRL5TWRsw33/RARVgX37wmtr7oPLQUfdjtNoqlTOthIY/j7ENW0y+23DaOItravsQ1ZLZ2ehzidEp4c03tb0ScvIx/wydLpwJXgMNDfO/l1vZgm3N0etqrYD7EBKxEwpBRgQbEXREci7OXpsZkjBsRU9wWcugjs0xqBONr6+vLF26VP78809p0aKF5MiRQ7y8vCRjxoxSvnx5GTdunBw6dEgqYZgBJQq0AutdR6tOwcYn9EnMDTL/MdwQUYboDJuXhEqRwk3eMZS1+np72GXYfFzeqpBLOlTIqQ4bUbJ//Focp8Y2gq/zvG3aZpRVOq7h7cq5pWVIoPzUuZwUSgJBVWeHQ3wM1MUPlMn/8YdIuXJawCA2LUOyq4XbYwzrXHJElatjVs9rr2kVJMgMRfUHesbX/fiEpEgZYbPyax02Anr2nLO0YMPGBu15sGlHAKf0qNXy0a/7VKUiMlv9vD2kSVBW+fqNYNXCIKGtVTAjac0arT0ahoS2aiXStKn2uY8L+u1jvg/aDTx6JFKlisiBAyL9+mmt14iI6EXPeKxNYIJJtc4KQ5VOtQKZVKaqvaDdaBY/b/Wei/YmOHBGGzJUz+C9tW3ZHNK3XkGZ2LakLOpeUbZ/XluOjWwg//atIb90KS+/vldRzS/DPE1kR6PyZuHuS6rVbY3x6+V/a0+qYFB0WK/vvXBPHa7rgSVHK5DZV+oUCVB7CsyWMAf9/Mf+oy1k0NaTCUKW8fJwlxaltEO4Xw1zlHQIGiKoiK3xxLalJDCd5cPfTaFiqktlbV/af9FBlfwSnd4uHYfaaGFlC+XzZFDXjkSgG3EMvF956LrNq+96GbpkLN572Vjl3r1GviRx1pDUITkWr8Pw55Fy9GrsLTAX77mkkklRyYY2+AnVr35h9f/jkLzHvD3GcxUcxDsKgkpftQpSgZn1x2/Koj1a94G4oB0o2k8DOoGgNaEzQ5tyzJ/FjCAkQp4+LVK7tkjXrlpXA2drwYavBdqlWsrYYtJG9zncyxBsRAIMtK+Qy+YtaWsV1io3t52+bdXHSnFjUCcGzZo1U1U7Fy5ckCdPnsjNmzdl27Zt0q9fP/H3d+6bWFLUtlxO9aaIOR3TNpw2+xy0I8ANERoVd/3Wazps9hDUmtahtCpddASU6CNLChvJrj/vVJks9oYNCbJI8mXykVqG4Wrk/O0SMSA9MWb40Auo1tm4UWvPgYAOAjt//hnz8y9fdpOQJyXl9t8l5acexaV4cZHevUX+/lvk4UOtZB3ZTatWRcneG9rmuLKNgzpQtYA+V8dxLdjQshMHe5gbVmHsWmn8v83y1crjqtUasjJR8YmN+2/dKsqewXXVjKiWpQPF00a9/bHBOHhQ647h6al9DVC1g3Yrz82sd/F7qMZBJQ6KhzEUFNU6qNoqqHVUICKiaBAcQCAFswT0uRx6UCeh/ejjgveL+e9VUEGbhe9XlP8G1JJjIxvK+k9rypyu5eWLlkHSs1YBlRVbOld6FcRAUpep7GlTqYPl9X1rqH+jdZlAVcWCgdsIVFUZt07az9wmf+69LI+fRhjb/gBmgmTydZ5enN0MCWqLdl+WG6GvHtB/u/qk3HoYLnkz+agOBWQ5fW4SMqH1zy2SVQb+cVA97l27YIKrS/rWLyQFAtLIzdBwGfTXoRiDOrZqvQbY/2JOZ1zVOnjtrz+hZYHXs2FQB3NzUDWHzPj7j59JzvSpXX52b3KBw2pUpkBss7yQ2KXPmbF01lRcUqV0l/Gtg40H5RnTpJSP6zp+sZ4/wNeYMD1i6WG5HkegFIHUD+fvU/siJAi0LuPY+WzWQAMmJC927679Gi2wixTR5o86A8wkRoIHgo6WtiXD3nXjyVs2X78g2DiocVFVudzZUGVmSzjTQ2LK04hINbuKbIdBHXIJ2BB91rCwejxz01mzPUA3HL+psuAwmK54dsdlQNjjY+9dp6BdDlWtuQaU2WIRe/HOY+k+Z3ecJcwJgdlJP245a6zSib65JaKXoWcw5uygygYt2Jo3Fxk0SCQiQstIQpAHs1sKFxbJkUNkQO9U8vBwdol45C0pPCOkdp1I+fJLkT17RG7c0LKbInweqWGhaANTNnd6m19zNcNcnS2nb5nt/25P+y7eUwdgpUaskvfn7FatRJBJl8rTXR2AjW5eXLZ+VktW9K6m5hChssleQ5oxbwfzb/bt0ypu0Pe5b19twOfOnS+ep/eG/uwzbQhovXraRqVHD62tGxERxTxIXj/wRrYxZmMcuxaqspZROWJvaAOFoA3eS5EAg/83vgeU+De+bBUsOwfVUZWjSLpC5cuWU7el94J9Unb0GpWooM9/a1vOuQ7gcP1I/sHBzk9bzr1SXTT7P+33hr1WTGWTk3WVUCE506rgA4JmmC/Tfc4edWCIFmIYiJ1QyN6e0LqkqgBDS6kl+68Y/wyBHv3gHGspW6qQR2vBpgdlzUHbObQPQhBUDwLZiulMW+xN7bUmJNtDUA5QuRjbvgDzRr09U9h03g3+7z51C6rADlra26p6LaHeq5pXggL95cGT5yroG1MbNuzPes7fqwLtSHQb2ay4y1Wo+fmJTJ2qJUAiAe7aNa1lOVpXO0cLtqxWtWDDjCZ93ATaTNp6JvNP75RT7drt8bHqidrrjrIFmy3x3YhcBjJ+MFsFC9PxK18edgrLDRl3KGN0tTcbV5DOJ6X80KmM6qm8/ewdGbb0sFV9WK2xdP8VuXr/icosfN3QSoCIYpc5s9bOC1U3MHq0SN68WuUNgjyY3YK2XQgAIDjQ77NIKfbuHgn8cJXU/eSEGiRZqtSLAMEWQxYNDl+QbWZr6FOO3u6hT57L/kuJVwt/8U6YvD1rhzoAQ5sFZEih7/XPncvJ3iF1ZWanMtK+fC7JljaVJCZU6KDiZuZMkXTptCAPvk4ffqhV8pQpowXd0qYVmTVLZMUKbSgoERHFrWfNAipIsPPcXRlsqDBAQMQehxeJIXVKD1U5iiqgTf1qqsxrJLYhixeJCqgowOG2XhXrTLoZ2ir/su28ul7AnmLokkMqIIGWMmhbR9Zra5gFsmDnBenz2z7V8g+vi2/alLRZklyJQH/paQgQDf7zkDHTH8O+sTVE+ypbr6HQzg3+Ox1zUGelSfWdrc8CyuROL50r51HnEc7SzpAsY0mljl6lg24vtg68oBLz6MgG0iTIdsGihEJQ8qtWwaqCFfPm/tr3IjhravyqE2p+G85/kOBrj/1gYqlaVUuQwxzaunW15Dhn0NgQ1Pn3+A3VeSguepVx/WKuN26itqEF27rjNyTSMDOcEo5BHXIZuGl93lgblrl47yVVTq578ixC1h3Vyr0bshzarhlg/3uzpOprjN7M2IzZGjZ10zdqfbbfrpRb9YgmIsughdc334jMmSOSKpXIhQvakEhU6KBSBxU7t2+LbNsmMm5sCvmmd3Zx84iUGRvPyInrL8/L2mwo7a5SwD5VgshU1isQNyTSXB0slt/9eZfcC3smwYH+amYBWuCgxSQOkGzdP9haCKh16aK10WvfHvdDkUmTREaN0lqvtWghcvSoyNtva8NAiYjIMln8vdU8A0AbNqifRPYMqERCVf/GT2vK/HcrqBlCWf29VYZ4fKuC7AlVHGivhqSO+du1NnF/H7gq287cES+PFDKoibbfI+s1DsqqWvOdux2m2rAhkIkW3rYOXvaomV8FbxA8xCB47N/s0XpNVzZPelXtgI/LXMcOdHnA8HD9sNMehrxWVGZ0LOPwtSJZp2SOtGrNfOnuY7MtHzHfY4khqGGr1mvROeN5BubfflhLq0AbuuTwK5+bNUeuG8cejGsZpObTuTp0R0DSIxLjnGUfhapCdMNBleG/x2JvSY4zz38Nbdrs3TrWHtD5Au9PqOo8ZHKWSwnDoA653Jvya8HZ1EHX2OXHjJUi2Jxh3gs2MMGBWjYG2QeGnH3WQGuFN3zpEWM2v62gRyhaYqRO6S4dyjMNnSg+EBBAa65Fi0QuXtQCAQgONGumVXrosPHG4QoGNw/685Dxnopye71vOQY520v1RJyrg48Ng31xf0Ff62lvlVal68464BOBuVWrtFYBWbOKLFyofT2zuN4anojIKWBGGtaXgAOd+nY4fHYkVGKgogHzDf8bUFtV8jjrderVOhg8fy/sqYxedtQYLAhMl9rBV+i6fLw8pGnJFxUBo5oVl+LZ/e3SmntC62DjwHV8HfU5CfYI6vh5e6ogUkzVOtvP3FGtpDL4pORsT3qJr7enFAzwjbEF27KDV9U5Eir3y+exfbtpZ/Z+jXwqqIDg7GCTfSC6GqDST0+yRbA4KXGmttVaC7YsFrVgw7mbfuYZZIf7ur3h/UKvwl3LFmw240QvZyLL9KtfSM14wMJxg+Eg8B/DDRARa85fsT/0Em5RKrtqkfDB3D1y9tYjm/3b0zeeNrYPwGBMIoqfPHm0yo7AOM50hjUtqmbJoLx+0R6tB//By/dVBq2ft4ddDgN0VQ1zdQ5cuqcOdexpxqYzqrUj+sBPbV9azTVwdmgPgKodBOZatXL01RARubaMabxUu00onTOdBPh5O/qSki20Vw7w9ZJrD57ImzO2q5+RrYw9BiVMlyp5VAvrd6vmsVvlgd7BAftyGLXsqGqRniN9KjV7wx4qxNKCbcVh7SygXrHMTlmdRs7bgu23nVrrNXyvuFo7K1sEZ9GGDXujlYevq4rJ8OcR6nwHQVIkVH/eiJWTidWCbd2xG/L4aYRFrddc9czTOFfHUHFECcegDrlki4FOlbQKDlTroAxxtaHcGvN0yP6w4BnTooRaICGzo+vsnfLgybME/7uHLt9Xcy6wGO9cRdt0E5F9ISP2ozpa+f2Y5UdVcEVvvVYpX0a7bo4RWCkQkEbQVlfP8LQHfDxf/HPM2D4D5d+uAvtLd+fr2kBE5JJ61SogAxsVkS9aBjn6UpI1tCPCUGY4evWB+nlIk6JsbWUD+QN8ZefAOjKwcVG7/1+YM2Na3VC3iP3mPGAGFmw7+3JQB7MZVh3WzgLq2an1Grm2kJzpzFbqnLoRKrvO31V7nVYhzlnZaG9Fs/kZZ2QN+euQ9P/9gEruw9zTKe1DVHUF2ReqEDH77PGzCFl/3HywA100Vtu5xWRiqFFIC+rgNabPY6OE4XcoueywUwyxO349VJWGIqMc2V7IuqPEgU3X928h291bTt98JL3m7VWVOwmhz9JBtgJbLxAlblZnwcxp5M6jpzJuxXFjgKWynebpmNLLsO3Vgg0tBHrO36MCRxhuq89UICKi5Ll+fbdaXskf4PrzAVxdu/I51QBuqFkok9Quoh32kOtAtvj4N4LVnAR7z3komzu9Ony/eOexXLobZvz9fZfuyY3QcPVaqmSo5iEyV6mDzgCYv6T7bdcl4/0nOVduflAjv6qwuxv2TP7cd0UllH3bpqRkT+v8XQ2SAgTC9eR0tAM0Bx01MBM2vU9KKZvbdc88UUUanEP7ftTnA1HCMKhDLgltuXoZMgqWH3T9MkRXFeDrbRgYmUK1wvviH60fdnxgca6/ibH1AlHil9+Per2Eejx/xwWVtWbveTrRgzooKd917o5N/22UsL/3y261CA4K9JdRrxdPdq0ViIiInBHmpAxuUkTK5U4vI5rx/dmVu2jMf6+CTGxb0q6V0JgXhLVc9BZsKw0tidDWxxkH0pPj5cuURrWUxjD649dC1e8huLN4jxbUaVM2pyRnqMZBcFbvztCrZn5jRQUlDj2og7Zk6EQU3YrD2n2ubpHM4uHu2sf4tdmCzaZc+9VAydpbFXOp3ss6fcAYJS7M28AiAGZsOiu/79YWR9bCgE1U+lTOn8GuMzyIyDxsxFHJAvheRHYWhobaG9ppFM/up3o3vzljm8zZdt44qDMh8G/0X3RAtXXJmCalTOtQmm1diIiInAgOU397v6IKDJDrCgpMK81KZrf7/6O3YPvvzG3jWm+l4bDTlVsSkX0h8bekoaOLPlcHg9pvPXyqKgdQqZPc4fxl8pulpF+DQvJRnYKOvpxkJzjQX+29w56iBdvNV1pM6vc5e1ZDJvZcHXQGMRfAIuto9c5ELgiZOHjT6Tlvrxp8iiwvcowmQdnkxPWH8r+1J+XzxQdl3vbzKtMjhZub+ll/jCF8WFS5G35fe6wttPTBb+9Vy+foD4co2RrQsLCsPnJdzcpClU5iZM0iO2zBexWl3+8HVLXeoD8PqfYIyNpNSBBm5qazsmT/FXXfmdIuRLKxhQARERGRy6qYL4NMXX9atp2+rQI62H+eux2m1pI1eDBPsSiVI61q9bzn/F3pWDG3LNh5Qf1+y5BAl698sJWGnE/tMNhzNyyeRWZuPivLD159KXiDFpPXHxhaTOZ3/RaTxbL5SWY/L/UxbT97R6obunZQ/DCoQy4Ns1ci3xTJk8GHb8YO1rt2ATVsEO3w9kQbQmgp9HKtlggzPIjIvAxpvOSrVkHy7ZqTqhoysaClxuR2paTERn/5csUx1eMa7RGmqbld1gdjNp+8JWMN7SAHNykq5Q2ZnURERETkmsrkSi+e7m5y5f4TuXAnzJgUiP0j1pJEMQnJpVXq7L14T67df6Jax0PrMlqXAiJHaxSUVQV11h69ripY9ORGvUqnZhJpMYkAVq3CmVXL93VHrzOok0B85yOXvyE0Dc7m6MsgQ1nz5DdDZHuFOxL65JlERkXJ88go1cYJjzGTMCIyUvs5KkqVkeLP8TN+DchOYD9tIseqVyyL+pHY8L3/fvV8UjSrn/Sav1f2X7ovr03arKpsrAnKXLwTJr3m75HIKC37rmMiBqeIiIiIyD5SpXSXkjnSys5zd2XbmdvGw05HrFvJtZQM1Iazn78dJt9vPK32CWg9nTdTGkdfGpGxmiybv7cKWqOqDPc11WLSELxukITuc5irg6DO2mM3ZFjTKJ4BJgCDOkRk08AOyuKJiOKrWsFMsrRnFXnvl11y7FqotJ+5XQY1LiKdKuWOc8H3+GmEdPtlt9wNe6aG6Y5uzsHLREREREkF5uogqLNw1yU5cvWBauldp0hmR18WOTn/1J6SPyCNnLrxUGZvPad+r02ZHI6+LCIj7FkbFM8qP27RWrAhqHP8emiSbDFZOX9G8fJIIZfuPpaTNx5Kwcy+jr4kl8V+VURERORUcmZILYs/qKQqMVHRN2zpEflk4f5Yhykik+mzxQfUBj+DT0qZ1qF0gmbyEBEREZFzqWBIINx1Xht4j7m66X1SOviqyBWE5NSqdVCl4+vlIY04Q4acTOMgrRpnzdEbEv48wqTFZKYk1WISVZeVDPfytUdvOPpyXBqDOkREROR0Uqf0kIltS6oqnRRuIov3XJZW07bK5XuPzT7/h81n5a99V8QjhZtMaR8i2dJaP4uHiIiIiJxXSM50ktJklm79YqzSIcuUyqnN1YGmJbOpg2UiZ1IqRzrJ4uctD8Ofy6YTt4xBnQbFk07rNV0tQ4XlumPXHX0pLo1BHSIiInLaMvSuVfPKnC7lJV1qTzl0+YGas7P19K2Xnrfl1C0Zs/yoeowgUAUrZvAQERERkWtAFXYpQ8UFcJ4OWRMQ1LUpy9Zr5JzjDPQAzrQNp1Urcq3FZIAkNbUKB0j1gpmkWcnsjr4Ul8agDhERETm1SvkzytJeVaRYNj+58+ipvPXDDpm56YxquXbxTpj0nLdHtVJoEZJdzd4hIiIioqRJn+EaHOjPymyyWMHMaaR9+ZzSuXIeKZHd39GXQ2RW46CsL7WYxByxtKmTXovJ7GlTyezO5aRDhVyOvhSXlnSa8hEREVGSFZgutSzqXkk+X3xQFu+9LKOWHZWDl+/LyesP5W7YM7U5G9O8hKruISIiIqKkqVPF3HLhTpg6oCeyFPYIo5uXcPRlEMWqdM50EuDrJTdCw9Wv6yfB1mtkO6zUISIiIpdpufF162AZ+lpRVYqOGTpHrj6QDD4pZdpbpdWfExEREVHSlc4npUxoXVJK50rv6EshIrJ5C7aGhkAOchXrF+XcMIoZgzpERETkUll271TOI3O7llfBHAzLndwuRJVwExEREREREbmqlqUDVQIjZs4E+Hk7+nLIiblFoSE9JZoHDx6Iv7+/3L9/X/z8/Bx9OURERC7rUfhzeRj+XDJzsUtERERERERJAObGpvdJKT5enJqS3DywIm7AVwcRERG5JCxyudAlIiIiIiKipCJH+tSOvgRyAWy/RkRERERERERERERE5AIY1CEiIiIiIiIiIiIiInIBDOoQERERERERERERERG5AAZ1iIiIiIiIiIiIiIiIXACDOkRERERERERERERERC6AQR0iIiIiIiIiIiIiIiIXwKAOERERERERERERERGRC2BQh4iIiIiIiIiIiIiIyAUwqENEREREREREREREROQCGNQhIiIiIiIiIiIiIiJyAQzqEBERERERERERERERuQAGdYiIiIiIiIiIiIiIiFwAgzpEREREREREREREREQugEEdIiIiIiIiIiIiIiIiF+Dh6AtIbqKiotTPDx48cPSlEBERERERERERERGRg+nxAj1+EBsGdRJZaGio+jlHjhyOvhQiIiIiIiIiIiIiInKi+IG/v3+sz3GLsiT0QzYTGRkpV65cEV9fX3Fzc3P05RAl6+g3gqsXL14UPz8/R18OEZFN8R5HREkZ73FElNTxPkdESRnvceYhTIOATrZs2SRFitin5rBSJ5HhCxIYGOjoyyAiA7x58A2EiJIq3uOIKCnjPY6Ikjre54goKeM97lVxVejoYg/5EBERERERERERERERkVNgUIeIiIiIiIiIiIiIiMgFMKhDRMmSl5eXDB06VP1MRJTU8B5HREkZ73FElNTxPkdESRnvcQnnFoUJPEREREREREREREREROTUWKlDRERERERERERERETkAhjUISIiIiIiIiIiIiIicgEM6hAREREREREREREREbkABnWIiIiIiIiIiIiIiIhcAIM6RJTkhYaGyqJFi6Rnz55SqVIlyZQpk3h6eoqfn58ULlxYOnbsKCtWrJCoqChHXyoRkU29/fbb4ubmZvwxbNgwR18SEVGC7N27Vz799FMpVaqUWtN5eXlJ9uzZpUyZMmqt9/vvv0tERISjL5OIyCrnzp2TwYMHS5UqVSRjxoxqv5omTRrJmzevtGjRQubMmSPPnj1z9GUSERlhvXXo0CH56aefpFevXlKxYkVJnTq1ce+Jvai1Tp06pdZ5xYsXF39/f3UfLFSokPTo0UP27dtnl4/DVblF8RSTiJKwCRMmyMCBA+XJkydxPrdq1apqsZwzZ85EuTYiInv6559/pFGjRi/93tChQxnYISKX9ODBA/noo49k9uzZcSbi3L17V9KmTZto10ZElNA96+effy7h4eGxPg8Hmwhc47CTiMjRWrZsKYsXL47xzzt16qQCPpaaPn269O7dWx4/fmz2z93d3WXIkCHqB4l4OPoCiIjs6cSJE8aADrI469SpI6VLl5aAgAD1+9u2bVOBnIcPH8qmTZukRo0a6vfw50RErnz42a1bN/XYx8dHHj165OhLIiKKtzt37kj9+vVl165dxjUdMteDg4NVFieqsk+ePCmrV6+W3bt3O/pyiYgsNnnyZPnkk0+Mv0ZniaZNm0qOHDnUeu7w4cPqUBT71ePHj0vNmjXl4MGDkiVLFodeNxFR9Mro9OnTS4YMGdSazFo4l9P3rylSpJC2bdtK7dq1xcPDQ7Zs2aKSehD4RpIiqrT79+8vyR0rdYgoSevevbucOXNG+vbtq94Q8OYQ3fnz59VBARbJ8M4778iPP/7ogKslIrINLIiR6YQDgTfeeENlgAIrdYjIFTVo0EBWrlypHuPwc9SoUeLt7W32uVeuXFHJOTgEICJyZshGz5w5swpMw4wZM6Rr166vPO/mzZtqL4tgDnz88cfGtR0RkaOMGTNG3b+QOI0fefLkUUFonKlZU6mDe1z+/PlVIBtndn/88YcKbptC8jXug2FhYWqNd+jQIVW9mJxxpg4RJWmjR49WhwB169Y1G9CBXLlyyYIFC4y/xmO8URARuaJ169apQwGYOnWq+Pr6OvqSiIjiDYcBekAHyTrjx4+PMaAD2bJlY0CHiFwCss/1gE7ZsmXNBnQA88PGjh1r/PXGjRsT7RqJiGKCtpG4N7Vq1UoFdOILazsEdACzc6IHdKBChQoycuRI9fj58+cyfPhwSe4Y1CGiJA3ln5ZA+w49yo+ADoazERG5Gty/3n33XTVvok2bNtKkSRNHXxIRUYKMGzdO/YxBuV988YWjL4eIyGZu3LhhfFygQIFYn2v652jFRkSUVJgmWaMSMSbY56K1OCxZsiTG2TvJBYM6REQGfn5+xsfJ/c2BiFzTgAEDVMtJBLQnTpzo6MshIkpwFvuxY8fU42bNmr20ViMicnWmc1wxCzY2pn9erFgxu14XEVFiOXLkiBqJAEWKFIm14gcdKKpWraoeP3r0SDZs2CDJGYM6REQi8vTp05cWymjJRkTkSrZu3aqG7eol7OjRTkTkykw36+XLl1c/L168WBo1aqSGhGNQLtqtNW7cWGbNmqXacRARuYoqVapIxowZ1eNdu3bJzJkzY5w3gTZHgJbiffr0SdTrJCKyF31WmN6GMi6mzzlo8neTIzYbJiISkXnz5sn9+/fV45CQEHVQQETkKp48eSKdO3eWyMhINUBSH05JROTKcMipQ6C6ZcuWKqhj6urVq+rH8uXL5ZtvvpG//vorQX3diYgSC+aDTZs2Tdq2bauC0mgthDlimCeRI0cONWMCw8Bnz56tZu+gDSUCP5UrV3b0pRMR2cTx48eNjy1Zv5k+57jJ302OGNQhomQPmU/9+/c3/nrQoEEOvR4iImsNGTJELWpTpUol33//vaMvh4jIJhCsiX6fS5kypXTs2FFluHt6esr+/fvVIeedO3dUxmbNmjVlz549Fs9VJCJyJASr16xZo4aDHz58WLWdxA9TuNcNHDhQunXrpoI9RERJxb1794yP9crF2GTIkMHs302O2H6NiJI1tF3DQlofUvn6669L8+bNHX1ZREQW27lzp0yYMEE9Hj58uOTLl8/Rl0REZBN37941PkZAJ126dLJt2zaZMWOGdOrUSdq1ayfjxo1TB6FFixZVz0Nfdr1NERGRK6hWrZpqoVuqVCmzf/7s2TOZMmWKWu9x9isRJSUPHz58qXoxLkhi1IWGhkpyxqAOESVbaFOEdkWbNm1Sv8ZB6I8//ujoyyIisiowjftYRESEah3JHutElNTWaqYwL8zcoSfa5qKVrg7ti9C2iIjI2d26dUu1zkWV4blz51QbydOnT6s1HrLQ165dq+aI4fG3334rNWrUkNu3bzv6somIyMEY1CGiZCkqKkref/99mTt3rvp1zpw5Vdk7MkCJiFzFqFGjVK91d3d3lbmOn4mIkgpfX1/jYx8fH+nQoUOMzw0ODpYKFSqox+Hh4a+0LyIicjZhYWFStWpV+ffff9U+dPv27dK7d2/Jmzevarnm7+8vtWrVkmXLlqn2bLBjxw7p1auXoy+diMgmMCvMdE5sXEyrFX1N1onJEYM6RJQsAzoffPCBOgCFwMBAWbduneTOndvRl0ZEZDHMkfjiiy/UY1TooFKHiCgpMU22KVGihJqnE5syZcoYHyPTnYjImU2dOlWOHTumHvft21cKFCgQ43PRajJt2rTq8YIFC+TatWuJdp1ERPai39f0ysW4mFYqpjX5u8mRh6MvgIgosQM6yHKaNm2a+nX27NlVZhRnUBCRq0F7IfRYT5EihcrmRNWOORs3bnzpsf68QoUKyRtvvJFo10tEZK3ChQur1kOAjPW4mD6H7deIyNn9/fffxsf16tWL9bmoVqxUqZIsX75ctabETMXXXnstEa6SiMh+sCfVnT17Ns7nmz6nkMnfTY4Y1CGiZBfQ+e6779Svs2XLpgI6+fPnd/SlERHF654G2NiPGTPGor+Dex5+QLNmzRjUISKnhpZquvv378f5fNPnWBIEIiJypCtXrlh1zzLNSjcdLk5E5KpQia1DsDoups8pXry4JGdsv0ZEyTKgkzVrVnWwGVuJOxERERE5TsOGDcXNzU09PnjwoBocHptdu3YZHyf37E0icn6m8yAuXrwY5/PPnz9vfJwhQwa7XRcRUWIpWrSomnENR48elXPnzsX4XASzN23apB6nTp1aqlevLskZgzpElCz07NnTGNDJkiWLCugULFjQ0ZdFRBRv3377rQpYx/Vj6NChxr+Dx/rv//nnnw69fiKiuGDuob5hf/TokcyZMyfWOWPbtm0zHpRWrlw50a6TiCihGepz586N9bmnTp2S7du3q8dovWs6Q4yIyJW1adPG+HjChAkxPm/69OlqPQhNmzZVgZ3kjEEdIkryevXqpYZQ6gGd9evXM3uTiIiIyAWYtpfEIPG9e/e+8pzr169L+/btjb/+8MMPJVWqVIl2jURE8dGuXTvj41mzZskPP/xg9nnXrl2T1q1by/Pnz9WvmzRpIunTp0+06yQisies7/TKxSlTpsiSJUteeQ6C2oMHD1aPPTw8XkpcTK44U4eIkrRBgwbJ5MmT1WO07/joo49USSd+xCYkJMRYAkpEREREjlGxYkXp37+/jBs3Tu7evSsVKlSQTp06SZUqVcTT01P27dsnM2fOlDt37qjnI3sd6z8iImdXr149adWqlfz++++qirpr167yyy+/qLmHqFR8/PixaiuJ37t3756x7drXX3/t6EsnIpKzZ8++Eow+cOCA8TEScaKvyWrVqqV+mAoICJBJkybJ22+/rebFNm/eXNq2bSt169YVd3d32bJli8yePVuePHminj98+HApXLiwJHcM6hBRkrZ582bjYyyUBwwYYNHfQ6YU3lCIiIiIyLG++OILtalHYAdzdWbMmKF+RFe/fn2ZP3++eHt7O+Q6iYishbaSfn5+8uOPP6pfb9iwQf0wB90mfv31V8mfP38iXyURkfk5X6NHj47xzxHgMQ3y6FU20YM6gISdsLAw6dOnjwrezJs3T/0whbXgwIED5fPPP7fhR+G62H6NiIiIiIiInBoODXbv3q3a6iI7E206ELxBZTWyOZcvXy4rVqyQdOnSOfpSiYgs5uXlpTLdkdGOrhKoNkRrNRx8Yl5E7ty5pWXLlqpaB4ejJUuWdPQlExHZRffu3dV9DoGdokWLqrWej4+PFChQQN5//33ZuXOnqtIhjVsUUteJiIiIiIiIiIiIiIjIqbFSh4iIiIiIiIiIiIiIyAUwqENEREREREREREREROQCGNQhIiIiIiIiIiIiIiJyAQzqEBERERERERERERERuQAGdYiIiIiIiIiIiIiIiFwAgzpEREREREREREREREQugEEdIiIiIiIiIiIiIiIiF8CgDhERERERERERERERkQtgUIeIiIiIiIiIiIiIiMgFMKhDRERERERERERERETkAhjUISIiIiIiIiIiIiIicgEM6hAREREREREREREREbkABnWIiIiIiIiIiIiIiIhcAIM6RERERERERERERERELoBBHSIiIiIiIiIiIiIiIhfAoA4REREREREREREREZELYFCHiIiIiIjIjrZv3y6enp7i5uYmmTJlkqtXr8b43CdPnkhwcLB6Ln78/PPPiXqtRERERETk3BjUISIiIiIisqPy5cvLyJEj1eNbt25Jhw4dJDIy0uxzP/nkEzlw4IB6jOd17NgxUa+ViIiIiIicm1tUVFSUoy+CiIiIiIgoKcO2q169erJmzRr169GjR8vnn3/+0nP++OMPadGihXqcP39+2bNnj/j6+jrkeomIiIiIyDkxqENERERERJQIrl27plqr3bhxQzw8PGTjxo1SsWJF9WcXLlyQkiVLyt27dyVlypSydetWKV26tKMvmYiIiIiInAzbrxERERERESWCLFmyyOzZs9WsnOfPn0u7du3k/v37EhERIe3bt1cBHRgzZgwDOkREREREZBYrdYiIiIiIiBJR37595euvv1aPW7duLQULFpRRo0apXzdo0ECWL1+uAj9ERERERETRMahDRERERESUiJ49eyaVKlWSXbt2vVLJs3//fgkICHDYtRERERERkXNj+zUiIiIiIqJE5OnpKfPnzxdfX1/j76Ey55dffmFAh4iIiIiIYsWgDhERERERUSJD8CZ9+vTGXwcGBkrlypUdek1EREREROT8GNQhIiIiIiJKZO+9956cP3/e+OuLFy9K7969HXpNRERERETk/HGzHJwAAAKPSURBVBjUISIiIiIiSkQ//PCDLFiwQD0ODg6W/Pnzq8fTp0+XRYsWOfjqiIiIiIjImblFRUVFOfoiiIiIiIiIkoNjx45J6dKlJSwsTFKnTi27d++Whw8fSqVKleTZs2eSLl062bdvn+TMmdPRl0pERERERE6IlTpERERERESJIDw8XNq2basCOjBp0iQpXLiwlClTRsaOHat+7+7du9K+fXuJiIhw8NUSEREREZEzYlCHiIiIiIgoEfTt21f279+vHiO407lzZ+Of9enTRxo0aKAeb968WUaMGOGw6yQiIiIiIufF9mtERERERER2tmTJEmnWrJl6nCdPHtm7d6/4+/u/9JwbN26oGTvXrl0Td3d3WbdunVSrVs1BV0xERERERM6IQR0iIiIiIiI7unz5sgrW3L59Wzw8PFQlTvny5c0+d/Xq1VK/fn3BNi1HjhyqsgdzdoiIiIiIiIDt14iIiIiIiOwkMjJSzchBQAfQVi2mgA7UrVtXPv30U/X44sWL0qVLl0S7ViIiIiIicn6s1CEiIiIiIiIiIiIiInIBrNQhIiIiIiIiIiIiIiJyAQzqEBERERERERERERERuQAGdYiIiIiIiIiIiIiIiFwAgzpEREREREREREREREQugEEdIiIiIiIiIiIiIiIiF8CgDhERERERERERERERkQtgUIeIiIiIiIiIiIiIiMgFMKhDRERERERERERERETkAhjUISIiIiIiIiIiIiIicgEM6hAREREREREREREREbkABnWIiIiIiIiIiIiIiIhcAIM6RERERERERERERERELoBBHSIiIiIiIiIiIiIiIhfAoA4REREREREREREREZELYFCHiIiIiIiIiIiIiIhInN//AXXdNjnkB7ezAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import sinc,sin\n", "min=1\n", "max=10\n", "step = 1/10\n", "x=np.linspace(min,max,int(max/step))\n", "#y = 1+sinc(2*np.pi*(x-2))+0.3*sinc(2*np.pi*(x-4))\n", "#y = 10/x + 5*sinc(2*np.pi*(x-5))+0.3*sinc(2*np.pi*(x-10))\n", "y2 = 2*np.random.randn(x.size)\n", "#y2[0:50]+=3\n", "y2[51:55]+=40\n", "#y2[40]+=10\n", "#y2[55]+=5\n", "target_width = 1\n", "peak_idx = None\n", "m_left=5*int(target_width)\n", "g_left=2*int(target_width)\n", "pfa=0.1\n", "#peak_idx = ca_cfar_old(y, 10,2, 0.1)\n", "#peak_idx = ca_cfar_old(y, 30,10, 0.001)\n", "#peak_idx = ca_cfar_old(y, 50,5, 0.4)\n", "peak_idx = ca_cfar_new(y2, m_left*2,g_left*2, pfa)\n", "th = ca_cfar_new(y2, m_left*2,g_left*2,pfa,return_threshold = True)\n", "\n", "print(\"peak_idx =\", peak_idx)\n", "print(\"N peaks\", len(peak_idx))\n", "\n", "plt.plot(x, y2)\n", "plt.plot(x[peak_idx], y2[peak_idx], 'rD')\n", "plt.plot(x[m_left+g_left:x.size-m_left-g_left],th,'b-')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "print(type(x),type(y2),type(peak_idx))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 502 }, "id": "x66fzGXu7cCx", "outputId": "d3295478-edc4-487b-ced7-8b9ff7327ab4" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "i old 9 2.995029424550229 2.2271626871088093\n", "i old 47 2.932878485224588 2.050079469346163\n", "i old 93 2.6488243502424784 2.018400964117556\n", "i old 128 2.6512218981629445 2.1917283544013384\n", "i old 172 2.735248759346434 2.116531395367462\n", "peak_idx2 = [ 9 47 93 128 172]\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'y')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise_crest_factor = 0.2\n", "y2 = 1.5+np.sin(2*np.pi*5*np.linspace(0, 1, 200)) + \\\n", " np.random.randn(200)*noise_crest_factor\n", "x2 = np.arange(y2.size)\n", "\n", "# Detect peaks\n", "# Warning this works only if rate_fa>=0.3\n", "# FIXME: if noise_crest_factor = 0, rate_fa needs to be > 0.5 ?!?!\n", "#peak_idx = ca_cfar(y, num_train=10, num_guard=2, rate_fa=0.1)\n", "peak_idx2 = ca_cfar_old(y2, 10,2, 0.4)\n", "print(\"peak_idx2 =\", peak_idx2)\n", "\n", "plt.plot(x2, y2)\n", "plt.plot(x2[peak_idx2], y2[peak_idx2], 'rD')\n", "plt.xlabel('x')\n", "plt.ylabel('y')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "name": "FMCW-Radar-102_CFAR.ipynb", "provenance": [], "toc_visible": true }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 4 }