Last active
October 16, 2024 23:46
-
-
Save avivajpeyi/b375a4cb76c253a2391eb39c0ca84283 to your computer and use it in GitHub Desktop.
spline_knot_allocation.ipynb
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyP+vdYZFIVGkxdDLUG+e5Uj", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/avivajpeyi/b375a4cb76c253a2391eb39c0ca84283/spline_knot_allocation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 358 | |
}, | |
"id": "ZMcsZmdRYK_P", | |
"outputId": "efecaf6e-00d2-4da6-f8a0-4dec8e23426b" | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1000x600 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": {} | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from scipy.interpolate import LSQUnivariateSpline\n", | |
"\n", | |
"# Parameters\n", | |
"OBS_TIME = 24 * 60 * 60 # 1 day in seconds\n", | |
"DT = 1 # Time step in seconds\n", | |
"\n", | |
"\n", | |
"# CONSTANTS\n", | |
"L = 2.5e9\n", | |
"c = 299792458\n", | |
"npos = 3.6e-41\n", | |
"nacc = 1.44e-48\n", | |
"\n", | |
"\n", | |
"\n", | |
"# Periodogram function\n", | |
"def periodogram(signal):\n", | |
" n = len(signal)\n", | |
" pdgrm = (np.abs(np.fft.rfft(signal))**2 / n)\n", | |
" return pdgrm\n", | |
"\n", | |
"# Frequency to time domain transformation\n", | |
"def generate_freq_domain_noise_colored_by_psd(psd, dt, n_t, n_f):\n", | |
" noise_f = np.random.normal(0, np.sqrt(n_t * psd / (2 * dt)), n_f) + \\\n", | |
" 1j * np.random.normal(0, np.sqrt(n_t * psd / (2 * dt)), n_f)\n", | |
" return np.fft.irfft(noise_f)\n", | |
"\n", | |
"\n", | |
"def generate_data(T, dt):\n", | |
" t = np.arange(0, T, dt)\n", | |
" n_time = len(t)\n", | |
" f = np.fft.rfftfreq(n_time, dt)\n", | |
" f[0] = f[1] # prevent division by 0\n", | |
" n_freq = len(f)\n", | |
" fref = c / (2 * np.pi * L)\n", | |
"\n", | |
" # Noise\n", | |
" w_sq = np.abs(1 - np.exp(-2j * np.pi * f / fref))**2\n", | |
" ss = npos\n", | |
" sa = (nacc * (1 + (4e-4 / f)**2) / (2 * np.pi * f)**4)\n", | |
"\n", | |
" n1 = (4 * ss + 8 * sa * (1 + np.cos(f / fref)**2)) * w_sq\n", | |
" n2 = -np.cos(f / fref) * (2 * ss + 8 * sa) * w_sq\n", | |
" na = n1 - n2 # Noise in A/E channel\n", | |
"\n", | |
" # Signal\n", | |
" fac = (2 * np.pi * f * L / c)**2\n", | |
" r = (3/10) * fac / (1 + 0.6 * fac)\n", | |
" omega = 1e-26 * (f / fref)**(2/3) # Power law model\n", | |
" sa = (3 * 2.27e-18 / (4 * np.pi**2)) * omega * r / f**3\n", | |
"\n", | |
"\n", | |
" # Time domain transformation\n", | |
" sig_t = generate_freq_domain_noise_colored_by_psd(sa, dt, n_time, n_freq)\n", | |
" noi_A = generate_freq_domain_noise_colored_by_psd(na, dt, n_time, n_freq)\n", | |
" A_ser = noi_A + sig_t\n", | |
" true_psd = sa+na\n", | |
"\n", | |
" # Periodogram calculation\n", | |
" periodogram_a = periodogram(A_ser)\n", | |
" return f[1:], periodogram_a[1:], true_psd[1:]\n", | |
"\n", | |
"\n", | |
"\n", | |
"def plot_periodogram_and_spline(f, periodogram_a, true_psd, spline_fit, knots):\n", | |
" plt.figure(figsize=(10, 6))\n", | |
" plt.subplot(2, 1, 1)\n", | |
" plt.plot(f,periodogram_a, '-', color='black', alpha=0.5, label='Periodogram')\n", | |
" plt.plot(f, true_psd, '-', color='black',lw=3, label=\"True PSD\")\n", | |
" plt.plot(f, spline_fit(f), '-', color='red', lw=1, label=\"Spline\")\n", | |
" plt.scatter(knots, spline_fit(knots), color='red', label=\"Knots\",zorder=10)\n", | |
" plt.xscale('log')\n", | |
" plt.yscale('log')\n", | |
"\n", | |
" plt.xlabel('Frequency [Hz]')\n", | |
" plt.ylabel('Spectral Density [1/Hz]')\n", | |
" plt.legend()\n", | |
" plt.tight_layout()\n", | |
" return plt.gcf()\n", | |
"\n", | |
"def generate_spline_fit(x, y, num_knots=40):\n", | |
" knots = np.geomspace(x[1], x[-2], num_knots) # Interior knots only (exclude endpoints)\n", | |
" # Fit B-spline to the periodogram data using LSQUnivariateSpline\n", | |
" # LSQUnivariateSpline allows us to specify the knots and fits the coefficients automatically\n", | |
" spline_fit = LSQUnivariateSpline(x, y, knots, k=3) # k=3 for cubic spline\n", | |
" return spline_fit, knots\n", | |
"\n", | |
"\n", | |
"\n", | |
"f, periodogram_a, true_psd = generate_data(OBS_TIME, DT)\n", | |
"spline_fit, knots = generate_spline_fit(f, periodogram_a)\n", | |
"fig = plot_periodogram_and_spline(f, periodogram_a, true_psd, spline_fit, knots)\n", | |
"plt.xlim(10e-4, 0.5)\n", | |
"plt.ylim(10e-48, 10e-37)\n", | |
"fig.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"## Get design matrix\n", | |
"import scipy\n", | |
"from scipy.sparse import csr_matrix\n", | |
"from scipy.interpolate import BSpline\n", | |
"\n", | |
"\n", | |
"def get_design_matrix(spline_fit, x):\n", | |
" # Get the full set of knots for the B-spline, including the boundary knots\n", | |
" knots_full = spline_fit.get_knots()\n", | |
"\n", | |
" # Get the coefficients from the fitted spline\n", | |
" coefficients = spline_fit.get_coeffs()\n", | |
"\n", | |
" # Create the design matrix\n", | |
" n_data_points = len(x)\n", | |
" n_basis_functions = len(coefficients)\n", | |
"\n", | |
" # Initialize sparse matrix\n", | |
" row_indices = []\n", | |
" col_indices = []\n", | |
" values = []\n", | |
"\n", | |
" # Compute the design matrix: evaluate each basis function at each log_f value\n", | |
" for i in range(n_basis_functions):\n", | |
" if i < len(knots_full) - 3: # Ensure enough knots for degree 3 spline\n", | |
" b_spline_basis = BSpline.basis_element(knots_full[i:i + 4], extrapolate=False) # k=3 -> degree 3 -> need 4 knots\n", | |
" basis_values = b_spline_basis(x)\n", | |
"\n", | |
" # Store non-zero entries for sparse matrix\n", | |
" for j in range(n_data_points):\n", | |
" if basis_values[j] != 0:\n", | |
" row_indices.append(j)\n", | |
" col_indices.append(i)\n", | |
" values.append(basis_values[j])\n", | |
"\n", | |
" # Create a sparse matrix from the collected data\n", | |
" design_matrix_sparse = csr_matrix((values, (row_indices, col_indices)),\n", | |
" shape=(n_data_points, n_basis_functions))\n", | |
" return design_matrix_sparse\n", | |
"\n", | |
"def plot_design_matrix(design_matrix:scipy.sparse._csr.csr_matrix):\n", | |
" # Convert back to dense for visualization if needed (optional)\n", | |
" design_matrix= design_matrix.toarray()\n", | |
" # replace nan with 0\n", | |
" design_matrix = np.nan_to_num(design_matrix)\n", | |
" _, n_basis_functions = design_matrix.shape\n", | |
"\n", | |
" # Plot the design matrix using matshow\n", | |
" plt.figure(figsize=(12, 8))\n", | |
" plt.imshow(design_matrix.T, aspect='auto', extent=[f[0], f[-1], 0, n_basis_functions],\n", | |
" origin='lower',\n", | |
" interpolation='none')\n", | |
" plt.colorbar(label='Basis Function Value')\n", | |
" plt.xlabel('Frequency [Hz]')\n", | |
" plt.ylabel('Basis Function Index')\n", | |
" plt.title('B-spline Design Matrix')\n", | |
" plt.xscale('log')\n", | |
" plt.yticks(np.arange(n_basis_functions), labels=[f'Basis {i}' for i in range(n_basis_functions)])\n", | |
" return plt.gcf()\n", | |
"\n", | |
"d = get_design_matrix(spline_fit, f)\n", | |
"plot_design_matrix(d).show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 743 | |
}, | |
"id": "81p0gQZXd0EE", | |
"outputId": "17409906-7629-40e8-e071-3ee8ecd24eef" | |
}, | |
"execution_count": 13, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1200x800 with 2 Axes>" | |
], | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA9QAAALCCAYAAAA/LJu2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdf1zV9d3/8cc5Bzj8OkAherBMUEBk1TRirbymUg4Q/LHQS2c0s01tLWsXfkXxAgr7Md1ay7ost2nByhVkyyzc/DHNrja8ppaokWZZCk4gNQRBPPz6fP8gTqJQoMTBfN6v2+d2O+fzeZ33+/35dF23yxfv9+f9MhmGYSAiIiIiIiIiXWJ29QBERERERERELkVKqEVEREREREQugBJqERERERERkQughFpERERERETkAiihFhEREREREbkASqhFRERERERELoASahEREREREZELoIRaRERERERE5AIooRYRERERERG5AEqoRUSkR4WEhDBjxgzn961bt2Iymdi6davLxuQqo0ePZvTo0a4eRq9iMpnIzs529TBEREQ6RQm1iMi3WG5uLiaTqc3Rt29fYmNj+dvf/ubq4bncjBkz2jwbX19fBg0axOTJk/nLX/5Cc3Ozq4f4jQkJCcFkMjFmzJh2r69YscL5XHbu3Nnl9gsLC8nOzubkyZMXOVIREZHey83VAxARkW/eww8/TGhoKIZhUFFRQW5uLomJibz55puMGzfOpWMbOXIkdXV1eHh4uKR/q9XKypUrAairq+Pw4cO8+eabTJ48mdGjR7N27Vr8/Py+kb43btz4jbTbWZ6enrz11luUl5djt9vbXPvzn/+Mp6cnZ86cuaC2CwsLWbRoETNmzCAgIKDTv6urq8PNTf88ERGRS4NmqEVELgNjx47lzjvv5Cc/+Qnz5s3jnXfewd3dnZdfftnVQ8NsNuPp6YnZ7Jr/l+Tm5sadd97JnXfeyaxZs3j00UfZvXs3ixcvZuvWrcyaNesb69vDw8Nlf0gAGDFiBL6+vuTn57c5f+TIEd555x2SkpJ6ZBzNzc3OxN3T01MJtYiIXDKUUIuIXIYCAgLw8vLqdOLyP//zP3znO9/B29ubK664ghtvvJGXXnrJeT07OxuTycT+/fuZMmUKfn5+BAYG8stf/vJrZzjbe4d69OjRXHvttXzwwQfExsbi7e3NVVddxW9+85vzfu9wOHjooYcICwvDarUyYMAA5s+fj8Ph6NzD6EB6ejpxcXGsXr2aAwcOtLn2t7/9jR/84Af4+Phgs9lISkqiuLi4TUx5eTl33303V199NVarleDgYCZOnMihQ4fa3Oe571AfPnyYCRMm4OPjQ9++fUlNTWXDhg0X9Yw64unpSXJycpv/lgAvv/wyV1xxBfHx8ef9Zs+ePcyYMYNBgwbh6emJ3W7npz/9KSdOnHDGZGdnk5aWBkBoaKhz6XjrvZtMJubMmcOf//xnvvOd72C1Wlm/fr3zWus71HV1dURGRhIZGUldXZ2z/c8//5zg4GBuueUWmpqaOn2/IiIi3U1/AhYRuQxUVVVx/PhxDMPgs88+43/+53+oqanhzjvv/NrfrlixggceeIDJkyc7E+Q9e/bwr3/9izvuuKNN7JQpUwgJCWHx4sX83//9H08//TSVlZW88MILXR5zZWUlCQkJJCcnM2XKFF599VUWLFjAddddx9ixY4GWmc0JEybwj3/8g9mzZzN06FD27t3Lk08+yYEDB3j99de73O/ZfvKTn7Bx40Y2bdpEREQEAC+++CJ33XUX8fHx/PrXv+b06dMsX76c//iP/2DXrl2EhIQAMGnSJIqLi7n//vsJCQnhs88+Y9OmTZSUlDhjzlVbW8utt95KWVkZv/zlL7Hb7bz00ku89dZbF/yMvs4dd9xBXFwcBw8eZPDgwQC89NJLTJ48GXd39/PiN23axCeffMLdd9+N3W6nuLiYP/7xjxQXF/N///d/mEwmkpOTOXDgAC+//DJPPvkkffr0ASAoKMjZzpYtW3jllVeYM2cOffr0afeZeHl58ac//YkRI0aQkZHB7373OwDuu+8+qqqqyM3NxWKxdOo+RUREvhGGiIh8a+Xk5BjAeYfVajVyc3M71cbEiRON73znO18Z89BDDxmAMWHChDbnf/GLXxiAsXv3bue5gQMHGnfddZfz+1tvvWUAxltvveU8N2rUKAMwXnjhBec5h8Nh2O12Y9KkSc5zL774omE2m4133nmnTb+///3vDcD45z//+ZXjvuuuuwwfH58Or+/atcsAjNTUVMMwDOPUqVNGQECAMWvWrDZx5eXlhr+/v/N8ZWWlARiPP/74V/Y/atQoY9SoUc7vTzzxhAEYr7/+uvNcXV2dERkZecHPqCMDBw40kpKSjMbGRsNutxuPPPKIYRiG8cEHHxiA8fbbbzv/92fHjh3O350+ffq8tl5++WUDMP73f//Xee7xxx83AOPTTz89Lx4wzGazUVxc3O61hx56qM25hQsXGmaz2fjf//1fY/Xq1QZgLF269GvvUURE5JumJd8iIpeBZ555hk2bNrFp0yZWrVpFbGwsM2fO5LXXXvva3wYEBHDkyBF27NjxtbH33Xdfm+/3338/AH/961+7PGZfX982M+geHh5873vf45NPPnGeW716NUOHDiUyMpLjx487j1tvvRWgw5ndrowB4NSpU0DL7OzJkyeZNm1am/4sFgs33XSTsz8vLy88PDzYunUrlZWVne5v/fr1XHXVVUyYMMF5ztPTs8P3uDvzjL6OxWJhypQpzvfp//znPzNgwAB+8IMftBvv5eXl/HzmzBmOHz/O97//fQDee++9Tvc7atQooqKiOhWbnZ3Nd77zHe666y5+8YtfMGrUKB544IFO9yUiIvJN0ZJvEZHLwPe+9z1uvPFG5/dp06YxfPhw5syZw7hx4/Dw8ODYsWNt3kf19fXF19eXBQsW8Pe//53vfe97hIWFERcXxx133MGIESPO6yc8PLzN98GDB2M2m9u8N9xZV199NSaTqc25K664gj179ji/f/TRR+zbt6/NUuKzffbZZ13u92w1NTUA2Gw2Z3+AM2E/V+tu4FarlV//+tf8v//3/+jXrx/f//73GTduHNOnTz9vN+2zHT58mMGDB59332FhYe3Gd+YZdcYdd9zB008/ze7du3nppZf48Y9/fF67rT7//HMWLVpEXl7eec+3qqqq032GhoZ2OtbDw4Pnn3+emJgYPD09ycnJ6XB8IiIiPUkJtYjIZchsNhMbG8tTTz3FRx99xHe+8x1iYmI4fPiwM+ahhx4iOzuboUOH8uGHH1JQUMD69ev5y1/+wrPPPsuDDz7IokWLvrKfi0l6Ono31jAM5+fm5mauu+4657u15xowYMAF9w/w/vvvA18mtK11qV988cV2E+OzN3n7r//6L8aPH8/rr7/Ohg0byMrKYvHixWzZsoXhw4df1LhadeYZdcZNN93E4MGD+a//+i8+/fTT896NP9uUKVMoLCwkLS2NYcOG4evrS3NzMwkJCV2q2332THdnbNiwAWiZFf/oo4+6lJCLiIh8U5RQi4hcphobG4EvZ2H//Oc/t9lJedCgQc7PPj4+TJ06lalTp1JfX09ycjKPPfYYCxcuxNPT0xl3bqLz8ccf09zc3OEmXBdr8ODB7N69m9tuu+0bmbF88cUXMZlM/PCHP3T2B9C3b1/GjBnTqfH9v//3//h//+//8dFHHzFs2DCeeOIJVq1a1W78wIED+eCDDzAMo839fPzxx91wN19t2rRpPProowwdOpRhw4a1G1NZWcnmzZtZtGgRDz74oPN868z92brzv8eePXt4+OGHufvuuykqKmLmzJns3bsXf3//butDRETkQugdahGRy1BDQwMbN27Ew8ODoUOHAi01iceMGeM8WhPqs8shQcvy26ioKAzDoKGhoc21Z555ps33//mf/wHo9I7TXTVlyhT+/e9/s2LFivOu1dXVUVtbe8FtL1myhI0bNzJ16lTnUvb4+Hj8/Pz41a9+dd69Axw7dgyA06dPn1cubPDgwdhstq8s5xUfH8+///1v3njjDee5M2fOtHt/3W3mzJk89NBDPPHEEx3GtM6InzsDvnTp0vNifXx8ADh58uRFjauhoYEZM2bQv39/nnrqKXJzc6moqCA1NfWi2hUREekOmqEWEbkM/O1vf2P//v1Ay3vFL730Eh999BHp6enO9347EhcXh91uZ8SIEfTr1499+/axbNkykpKSnO8Wt/r000+ZMGECCQkJbNu2jVWrVnHHHXfw3e9+9xu5r5/85Ce88sor/PznP+ett95ixIgRNDU1sX//fl555RU2bNjQ5t3x9jQ2NjpnjM+cOcPhw4d544032LNnD7Gxsfzxj390xvr5+bF8+XJ+8pOfcMMNN/DjH/+YoKAgSkpKWLduHSNGjGDZsmUcOHCA2267jSlTphAVFYWbmxtr1qyhoqKCH//4xx2O5Z577mHZsmVMmzaNX/7ylwQHB/PnP//ZuQrgm3xveODAgc76zx3x8/Nj5MiR/OY3v6GhoYGrrrqKjRs38umnn54XGx0dDUBGRgY//vGPcXd3Z/z48c5Eu7MeffRRioqK2Lx5Mzabjeuvv54HH3yQzMxMJk+eTGJiYpfaExER6U5KqEVELgNnL8/19PQkMjKS5cuXc88993ztb++55x7+/Oc/87vf/Y6amhquvvpqHnjgATIzM8+Lzc/P58EHHyQ9PR03NzfmzJnD448/3q33cjaz2czrr7/Ok08+yQsvvMCaNWvw9vZm0KBB/PKXv3TWjv4qDoeDn/zkJwB4e3vTt29foqOjefDBB7n99tsxm9su5rrjjjvo378/S5Ys4fHHH8fhcHDVVVfxgx/8gLvvvhtoeXd72rRpbN68mRdffBE3NzciIyN55ZVXmDRpUodj8fX1ZcuWLdx///089dRT+Pr6Mn36dG655RYmTZrUZnm9q7z00kvcf//9PPPMMxiGQVxcHH/729/o379/m7iYmBgeeeQRfv/737N+/Xqam5v59NNPu5RQv/fee/zqV79izpw5xMbGOs+np6ezdu1aZs2aRXFxMQEBAd11eyIiIl1iMrq6c4mIiMg5srOzWbRoEceOHaNPnz6uHs63ztKlS0lNTeXIkSNcddVVrh6OiIiIfEHvUIuIiPQiZ28MBy3L0P/whz8QHh6uZFpERKSX0ZJvERGRXiQ5OZlrrrmGYcOGUVVVxapVq9i/fz9//vOfXT00EREROYcSahERkV4kPj6elStX8uc//5mmpiaioqLIy8tj6tSprh6aiIiInEPvUIuIiIiIiIhcAL1DLSIiIiIiInIBlFCLiIiIiIiIXAC9Q90LNDc3c/ToUWw2GyaTydXDERERERG5rBmGwalTp+jfvz9m86U1B3nmzBnq6+td0reHhweenp4u6dtVlFD3AkePHmXAgAGuHoaIiIiIiJyltLSUq6++2tXD6LQzZ84QOtCX8s+aXNK/3W7n008/vaySaiXUvYDNZgPgP0jEDXcXj0ZERERE5PLWSAP/4K/Of6dfKurr6yn/rInD74bgZ+vZmfXqU80MjD5EfX29EmrpWa3LvN1wx82khFpERERExKW+qIN0qb6O6Wcz42ezuHoYlwUl1CIiIiIiIt8izRg009zjfV6OLq037EVERERERER6Cc1Qi4iIiIiIfIs0Gc009fCEcZPRszPivYVmqEVEREREREQugGaoRUREREREvkVa3qHu2SlqvUMtIiIiIiIiIp32rU+oc3NzCQgIcPUwRERERERE5FvGpQn1jBkzMJlMziMwMJCEhAT27NnTbX1MnTqVAwcOXHQ7hmEwduxYTCYTr7/+uvP8iRMnSEhIoH///litVgYMGMCcOXOorq6+6D5FRERERES6qtlF/3M5cvkMdUJCAmVlZZSVlbF582bc3NwYN25ct7Xv5eVF3759L7qdpUuXtlvY3Ww2M3HiRN544w0OHDhAbm4uf//73/n5z39+0X2KiIiIiIhI7+XyhNpqtWK327Hb7QwbNoz09HRKS0s5duyYM2bBggVERETg7e3NoEGDyMrKoqGhwXl99+7dxMbGYrPZ8PPzIzo6mp07dwLnL/n+qtiOFBUV8cQTT/D888+fd+2KK67g3nvv5cYbb2TgwIHcdttt/OIXv+Cdd965yCcjIiIiIiLSdU2G4ZLjctSrdvmuqalh1apVhIWFERgY6Dxvs9nIzc2lf//+7N27l1mzZmGz2Zg/fz4AKSkpDB8+nOXLl2OxWCgqKsLd3b3dProSC3D69GnuuOMOnnnmGex2+9few9GjR3nttdcYNWpUhzEOhwOHw+H8ruXhIiIiIiIilx6XJ9QFBQX4+voCUFtbS3BwMAUFBZjNX06eZ2ZmOj+HhIQwb9488vLynAl1SUkJaWlpREZGAhAeHt5hf12JBUhNTeWWW25h4sSJXxk3bdo01q5dS11dHePHj2flypUdxi5evJhFixZ9ZXsiIiIiIiLSu7l8yXdsbCxFRUUUFRWxfft24uPjGTt2LIcPH3bG5OfnM2LECOx2O76+vmRmZlJSUuK8PnfuXGbOnMmYMWNYsmQJBw8e7LC/rsS+8cYbbNmyhaVLl37tfTz55JO89957rF27loMHDzJ37twOYxcuXEhVVZXzKC0t/dr2RUREREREOqO1DnVPH5cjlyfUPj4+hIWFERYWRkxMDCtXrqS2tpYVK1YAsG3bNlJSUkhMTKSgoIBdu3aRkZFBfX29s43s7GyKi4tJSkpiy5YtREVFsWbNmnb760rsli1bOHjwIAEBAbi5ueHm1jKhP2nSJEaPHt0m1m63ExkZyYQJE/jDH/7A8uXLKSsra7ddq9WKn59fm0NEREREREQuLS5f8n0uk8mE2Wymrq4OgMLCQgYOHEhGRoYz5uzZ61YRERFERESQmprKtGnTyMnJ4fbbb2+3j87GpqenM3PmzDbnrrvuOp588knGjx/f4T00N7dsGX/2e9IiIiIiIiI9oRmDph6eMb5cZ6hdnlA7HA7Ky8sBqKysZNmyZdTU1DgT1vDwcEpKSsjLyyMmJoZ169a1mVGuq6sjLS2NyZMnExoaypEjR9ixYweTJk06r6+uxALO3cfPdc011xAaGgrAX//6VyoqKoiJicHX15fi4mLS0tIYMWIEISEhF/t4REREREREpJdyeUK9fv16goODgZbdvCMjI1m9erVzSfWECRNITU1lzpw5OBwOkpKSyMrKIjs7GwCLxcKJEyeYPn06FRUV9OnTh+Tk5HY3/epKbGd5eXmxYsUKUlNTcTgcDBgwgOTkZNLT0y+4TRERERERkQvlineaL9cZapNhXKYFw3qR6upq/P39Gc1E3Ewdl/ASEREREZFvXqPRwFbWUlVVdUntd9SaVxzcb8dm69ntsk6damZwZPkl98wulss3JRMRERERERG5FLl8ybeIiIiIiIh0nybDoKmHFyL3dH+9xbd+hjo3N5eAgABXD0NERERERES+ZVyaUM+YMQOTyeQ8AgMDSUhIYM+ePd3Wx9SpUzlw4MBFt2MYBmPHjsVkMvH66687z+/evZtp06YxYMAAvLy8GDp0KE899dRF9yciIiIiInIhml10XI5cPkOdkJBAWVkZZWVlbN68GTc3N8aNG9dt7Xt5edG3b9+Lbmfp0qWYTKbzzr/77rv07duXVatWUVxcTEZGBgsXLmTZsmUX3aeIiIiIiIj0Xi5PqK1Wq7Pe87Bhw0hPT6e0tJRjx445YxYsWEBERATe3t4MGjSIrKwsGhoanNd3795NbGwsNpsNPz8/oqOj2blzJ3D+ku+viu1IUVERTzzxBM8///x5137605/y1FNPMWrUKAYNGsSdd97J3XffzWuvvXaRT0ZERERERER6s161KVlNTQ2rVq0iLCyMwMBA53mbzUZubi79+/dn7969zJo1C5vNxvz58wFISUlh+PDhLF++HIvFQlFREe7u7Zef6koswOnTp7njjjt45plnsNvtnbqPqqoqrrzyyg6vOxwOHA6H83t1dXWn2hUREREREfk6TRg09XBd6J7ur7dweUJdUFCAr68vALW1tQQHB1NQUIDZ/OXkeWZmpvNzSEgI8+bNIy8vz5lQl5SUkJaWRmRkJADh4eEd9teVWIDU1FRuueUWJk6c2Kn7KSwsJD8/n3Xr1nUYs3jxYhYtWtSp9kRERERERKR3cvmS79jYWIqKiigqKmL79u3Ex8czduxYDh8+7IzJz89nxIgR2O12fH19yczMpKSkxHl97ty5zJw5kzFjxrBkyRIOHjzYYX9diX3jjTfYsmULS5cu7dS9vP/++0ycOJGHHnqIuLi4DuMWLlxIVVWV8ygtLe1U+yIiIiIiIl+nyXDNcTlyeULt4+NDWFgYYWFhxMTEsHLlSmpra1mxYgUA27ZtIyUlhcTERAoKCti1axcZGRnU19c728jOzqa4uJikpCS2bNlCVFQUa9asabe/rsRu2bKFgwcPEhAQgJubG25uLRP6kyZNYvTo0W1iP/jgA2677TZmz57dZka9PVarFT8/vzaHiIiIiIiIXFpcvuT7XCaTCbPZTF1dHdCyhHrgwIFkZGQ4Y86evW4VERFBREQEqampTJs2jZycHG6//fZ2++hsbHp6OjNnzmxz7rrrruPJJ59k/PjxznPFxcXceuut3HXXXTz22GMXdN8iIiIiIiLdwRVlrC7XslkuT6gdDgfl5eUAVFZWsmzZMmpqapwJa3h4OCUlJeTl5RETE8O6devazCjX1dWRlpbG5MmTCQ0N5ciRI+zYsYNJkyad11dXYgHn7uPnuuaaawgNDQValnnfeuutxMfHM3fuXOe9WCwWgoKCLu7hiIiIiIiISK/l8oR6/fr1BAcHAy27eUdGRrJ69WrnkuoJEyaQmprKnDlzcDgcJCUlkZWVRXZ2NtCSuJ44cYLp06dTUVFBnz59SE5ObnfTr67Edtarr77KsWPHWLVqFatWrXKeHzhwIIcOHbrgdkVERERERKR3MxmGcZm+Pt57VFdX4+/vz2gm4mbquISXiIiIiIh88xqNBraylqqqqktqv6PWvOK9D/rha+vZ7bJqTjVzQ1TFJffMLpbLNyUTERERERERuRS5fMm3iIiIiIiIdJ9mo+Xo6T4vR9/6Gerc3FwCAgJcPQwRERERERH5lnFpQj1jxgxMJpPzCAwMJCEhgT179nRbH1OnTuXAgQMX3Y5hGIwdOxaTycTrr7/e5toDDzxAdHQ0VquVYcOGXXRfIiIiIiIi0vu5fIY6ISGBsrIyysrK2Lx5M25ubowbN67b2vfy8qJv374X3c7SpUsxmUwdXv/pT3/K1KlTL7ofERERERGRi9GEySXH5cjlCbXVanXWex42bBjp6emUlpZy7NgxZ8yCBQuIiIjA29ubQYMGkZWVRUNDg/P67t27iY2NxWaz4efnR3R0NDt37gTOX/L9VbEdKSoq4oknnuD5559v9/rTTz/Nfffdx6BBgy7iSYiIiIiIiFxennnmGUJCQvD09OSmm25i+/btHcaOHj26zQrn1iMpKakHR9xWr9qUrKamhlWrVhEWFkZgYKDzvM1mIzc3l/79+7N3715mzZqFzWZj/vz5AKSkpDB8+HCWL1+OxWKhqKgId/f2y091JRbg9OnT3HHHHTzzzDPY7fZuuU+Hw4HD4XB+r66u7pZ2RUREREREXDFjfCH95efnM3fuXH7/+99z0003sXTpUuLj4/nwww/bXWX82muvUV9f7/x+4sQJvvvd7/Kf//mfFzX2i+HyhLqgoABfX18AamtrCQ4OpqCgALP5y8nzzMxM5+eQkBDmzZtHXl6eM6EuKSkhLS2NyMhIAMLDwzvsryuxAKmpqdxyyy1MnDjxwm6wHYsXL2bRokXd1p6IiIiIiMil5ne/+x2zZs3i7rvvBuD3v/8969at4/nnnyc9Pf28+CuvvLLN97y8PLy9vV2aULt8yXdsbCxFRUUUFRWxfft24uPjGTt2LIcPH3bG5OfnM2LECOx2O76+vmRmZlJSUuK8PnfuXGbOnMmYMWNYsmQJBw8e7LC/rsS+8cYbbNmyhaVLl3bLvbZauHAhVVVVzqO0tLRb2xcRERERkctXs2FyyQEtq2/PPs5emXu2+vp63n33XcaMGeM8ZzabGTNmDNu2bevUfT733HP8+Mc/xsfH5+If2gVyeULt4+NDWFgYYWFhxMTEsHLlSmpra1mxYgUA27ZtIyUlhcTERAoKCti1axcZGRltpvqzs7MpLi4mKSmJLVu2EBUVxZo1a9rtryuxW7Zs4eDBgwQEBODm5oabW8uE/qRJkxg9evQF37PVasXPz6/NISIiIiIicqkbMGAA/v7+zmPx4sXtxh0/fpympib69evX5ny/fv0oLy//2n62b9/O+++/z8yZM7tl3BfK5Uu+z2UymTCbzdTV1QFQWFjIwIEDycjIcMacPXvdKiIigoiICFJTU5k2bRo5OTncfvvt7fbR2dj09PTz/gNdd911PPnkk4wfP/5iblNERERERORbp7S0tM2EodVq/Ub6ee6557juuuv43ve+942031kuT6gdDofzLxCVlZUsW7aMmpoaZ8IaHh5OSUkJeXl5xMTEsG7dujYzynV1daSlpTF58mRCQ0M5cuQIO3bsYNKkSef11ZVYwLn7+LmuueYaQkNDnd8//vhjampqKC8vp66ujqKiIgCioqLw8PC44GcjIiIiIiLSVa7clKyzK3D79OmDxWKhoqKizfmKioqv3Qy6traWvLw8Hn744QsfcDdxeUK9fv16goODgZbdvCMjI1m9erVzSfWECRNITU1lzpw5OBwOkpKSyMrKIjs7GwCLxcKJEyeYPn06FRUV9OnTh+Tk5HY3/epKbFfMnDmTt99+2/l9+PDhAHz66aeEhIRcVNsiIiIiIiLfNh4eHkRHR7N582Z+9KMfAdDc3MzmzZuZM2fOV/529erVOBwO7rzzzh4Y6VczGYZhuHoQl7vq6mr8/f0ZzUTcTB2X8BIRERERkW9eo9HAVtZSVVV1Se131JpXbHl/AL62nt0uq+ZUM7deW9qlZ5afn89dd93FH/7wB773ve+xdOlSXnnlFfbv30+/fv2YPn06V1111XnvYf/gBz/gqquuIi8v75u4lS5x+Qy1iIiIiIiIXH6mTp3KsWPHePDBBykvL2fYsGGsX7/euVFZSUlJm3LKAB9++CH/+Mc/2LhxoyuGfB4l1CIiIiIiIuISc+bM6XCJ99atW887N2TIEHrTImuXl836puXm5hIQEODqYYiIiIiIiPQIwwU1qA2jZzdB6y1cmlDPmDEDk8nkPAIDA0lISGDPnj3d1sfUqVM5cODARbdjGAZjx47FZDLx+uuvt7lWUlJCUlIS3t7e9O3bl7S0NBobGy+6TxEREREREem9XD5DnZCQQFlZGWVlZWzevBk3NzfGjRvXbe17eXnRt2/fi25n6dKlmEzn/9WlqamJpKQk6uvrKSws5E9/+hO5ubk8+OCDF92niIiIiIhIV7WWzerp43Lk8oTaarU66z0PGzaM9PR0SktLOXbsmDNmwYIFRERE4O3tzaBBg8jKyqKhocF5fffu3cTGxmKz2fDz8yM6OpqdO3cC5y/5/qrYjhQVFfHEE0/w/PPPn3dt48aNfPDBB6xatYphw4YxduxYHnnkEZ555hnq6+sv8umIiIiIiIhIb9WrNiWrqalh1apVhIWFERgY6Dxvs9nIzc2lf//+7N27l1mzZmGz2Zg/fz4AKSkpDB8+nOXLl2OxWCgqKsLdvf3yU12JBTh9+jR33HEHzzzzTLsFxrdt28Z1113n3IkOID4+nnvvvZfi4mJnTeqzORwOHA6H83t1dfXXPxwREREREZFOaDLMNBk9O3fa1Hv2CetRLk+oCwoK8PX1BaC2tpbg4GAKCgrabI+emZnp/BwSEsK8efPIy8tzJtQlJSWkpaURGRkJQHh4eIf9dSUWIDU1lVtuuYWJEye2e728vLxNMg04v5eXl7f7m8WLF7No0aKv7FdERERERER6N5cv+Y6NjaWoqIiioiK2b99OfHw8Y8eO5fDhw86Y/Px8RowYgd1ux9fXl8zMTEpKSpzX586dy8yZMxkzZgxLlizh4MGDHfbXldg33niDLVu2sHTp0m6511YLFy6kqqrKeZSWlnZr+yIiIiIiIvLNc3lC7ePjQ1hYGGFhYcTExLBy5Upqa2tZsWIF0LKkOiUlhcTERAoKCti1axcZGRlt3k/Ozs6muLiYpKQktmzZQlRUFGvWrGm3v67EbtmyhYMHDxIQEICbmxtubi0T+pMmTWL06NEA2O12Kioq2vyu9Xt7S8Sh5b1xPz+/NoeIiIiIiEh3aMZEM+YePrQpWa9gMpkwm83U1dUBUFhYyMCBA8nIyODGG28kPDy8zex1q4iICFJTU9m4cSPJycnk5OR02EdnY9PT09mzZ49zBr2oqAiAJ5980vmbm2++mb179/LZZ585f7dp0yb8/PyIioq60McgIiIiIiIivZzL36F2OBzOd40rKytZtmwZNTU1jB8/Hmh5x7mkpIS8vDxiYmJYt25dmxnluro60tLSmDx5MqGhoRw5coQdO3YwadKk8/rqSizg3H38XNdccw2hoaEAxMXFERUVxU9+8hN+85vfUF5eTmZmJvfddx9Wq/Win4+IiIiIiEhXuKKM1eVaNsvlCfX69esJDg4GWnbzjoyMZPXq1c4l1RMmTCA1NZU5c+bgcDhISkoiKyuL7OxsACwWCydOnGD69OlUVFTQp08fkpOT2930qyuxnWWxWCgoKODee+/l5ptvxsfHh7vuuouHH374gtsUERERERGR3s9kGMZlusF571FdXY2/vz+jmYibqeMSXiIiIiIi8s1rNBrYylqqqqouqf2OWvOKN/YMxsdm6dG+a081MeH6g5fcM7tYLp+hFhERERERke7jmjrUl+c8ba/blExERERERETkUvCtT6hzc3MJCAhw9TBERERERER6REvZrJ4/LkcuTahnzJiByWRyHoGBgSQkJLBnz55u62Pq1KkcOHDggn9/zz33MHjwYLy8vAgKCmLixIns37+/TczmzZu55ZZbsNls2O12FixYQGNj48UOXURERERERHoxl89QJyQkUFZWRllZGZs3b8bNzY1x48Z1W/teXl707dv3gn8fHR1NTk4O+/btY8OGDRiGQVxcHE1NTQDs3r2bxMREEhIS2LVrF/n5+bzxxhukp6d31y2IiIiIiIh0WjNmmnr4aHZ9aukSLr9rq9XqrPc8bNgw0tPTKS0t5dixY86YBQsWEBERgbe3N4MGDSIrK4uGhgbn9d27dxMbG4vNZsPPz4/o6Gh27twJnL/k+6ti2zN79mxGjhxJSEgIN9xwA48++iilpaUcOnQIgPz8fK6//noefPBBwsLCGDVqFL/5zW945plnOHXqVPc+LBEREREREek1etUu3zU1NaxatYqwsDACAwOd5202G7m5ufTv35+9e/cya9YsbDYb8+fPByAlJYXhw4ezfPlyLBYLRUVFuLu3X36qK7Hnqq2tJScnh9DQUAYMGACAw+HA09OzTZyXlxdnzpzh3XffddbTPpvD4cDhcDi/V1dXd6p/ERERERER6T1cnlAXFBTg6+sLtCSswcHBFBQUYDZ/OXmemZnp/BwSEsK8efPIy8tzJtQlJSWkpaURGRkJQHh4eIf9dSW21bPPPsv8+fOpra1lyJAhbNq0CQ8PDwDi4+NZunQpL7/8MlOmTKG8vJyHH34YgLKysnbbW7x4MYsWLfrafkVERERELjsmE5jMmNzdMLm5YfLwwGT1AE8rhpeVZm8Pmrw9aPB1o8Fmod7XRL2fiXo/qA9opvmKBmxXnKafrYZg7yqCPavp434Km/kM7qYmGgwLp5utHG/wpczhT0nNFRyt9OfMMS+8jrphO2xgKz4O76519ZO4YCqb1XNcvuQ7NjaWoqIiioqK2L59O/Hx8YwdO5bDhw87Y/Lz8xkxYgR2ux1fX18yMzMpKSlxXp87dy4zZ85kzJgxLFmyhIMHD3bYX1diW6WkpLBr1y7efvttIiIimDJlCmfOnAEgLi6Oxx9/nJ///OdYrVYiIiJITEwEaPNHgbMtXLiQqqoq51FaWtqpZyUiIiIiIiK9h8sTah8fH8LCwggLCyMmJoaVK1dSW1vLihUrANi2bRspKSkkJiZSUFDArl27yMjIoL6+3tlGdnY2xcXFJCUlsWXLFqKiolizZk27/XUltpW/vz/h4eGMHDmSV199lf3797f5zdy5czl58iQlJSUcP36ciRMnAjBo0KB227Narfj5+bU5REREREREukPzF5uE9fRxOep1d20ymTCbzdTV1QFQWFjIwIEDycjI4MYbbyQ8PLzN7HWriIgIUlNT2bhxI8nJyeTk5HTYR1diz2UYBoZhtHkHunXc/fv3x8vLi5dffpkBAwZwww03dLpdERERERERubS4/B1qh8NBeXk5AJWVlSxbtoyamhrGjx8PtLzjXFJSQl5eHjExMaxbt67N7HBdXR1paWlMnjyZ0NBQjhw5wo4dO5g0adJ5fXUlFuCTTz4hPz+fuLg4goKCOHLkCEuWLMHLy8u5rBvg8ccfJyEhAbPZzGuvvcaSJUt45ZVXsFgs3fmoREREREREpBdxeUK9fv16goODgZbdvCMjI1m9erVzd+wJEyaQmprKnDlzcDgcJCUlkZWVRXZ2NgAWi4UTJ04wffp0Kioq6NOnD8nJye1u+tWVWABPT0/eeecdli5dSmVlJf369WPkyJEUFha2qW39t7/9jcceewyHw8F3v/td1q5dy9ixY7v3QYmIiIiIiHRCk2GiyTD1eJ+XI5NhXKbbsfUi1dXV+Pv7M5qJuJk6V8JLRERERORbqZfs8v3Wu4upqqq6pPY7as0rXtx1Hd62nl0te/pUEz8ZvveSe2YXy+Uz1CIiIiIiItJ9mjDT1MPbZTVxec7T9rpNyUREREREREQuBd/6hDo3N5eAgABXD0NERERERES+ZVyaUM+YMQOTyeQ8AgMDSUhIYM+ePd3Wx9SpUzlw4MAF//6ee+5h8ODBeHl5ERQUxMSJE9m/f3+bmB07dnDbbbcREBDAFVdcQXx8PLt3777YoYuIiIiIiHRZs2F2yXE5cvldJyQkUFZWRllZGZs3b8bNzY1x48Z1W/teXl5tduTuqujoaHJycti3bx8bNmzAMAzi4uJoamoCoKamhoSEBK655hr+9a9/8Y9//AObzUZ8fDwNDQ3ddRsiIiIiIiLSy7g8obZardjtdux2O8OGDSM9PZ3S0lKOHTvmjFmwYAERERF4e3szaNAgsrKy2iSru3fvJjY2FpvNhp+fH9HR0ezcuRM4f8n3V8W2Z/bs2YwcOZKQkBBuuOEGHn30UUpLSzl06BAA+/fv5/PPP+fhhx9myJAhfOc73+Ghhx6ioqKCw4cPd+/DEhERERER+Rqtm5L19HE56lW7fNfU1LBq1SrCwsIIDAx0nrfZbOTm5tK/f3/27t3LrFmzsNlszJ8/H4CUlBSGDx/O8uXLsVgsFBUV4e7efvmprsSeq7a2lpycHEJDQxkwYAAAQ4YMITAwkOeee47//u//pqmpieeee46hQ4cSEhLSbjsOhwOHw+H8Xl1d3an+RUREREREpPdweUJdUFCAr68v0JKwBgcHU1BQgNn85V84MjMznZ9DQkKYN28eeXl5zoS6pKSEtLQ0IiMjAQgPD++wv67Etnr22WeZP38+tbW1DBkyhE2bNuHh4QG0JPtbt27lRz/6EY888oizzQ0bNuDm1v7jXbx4MYsWLfrafkVERERELilmCyaLpaWGtIc7WK2YPK0Ynlaava00+bjT6OtOg6+Zel/zl/Wj/Q2armjA+4o67P6nCPH9nFDv44Raj3GVWyX9LDUEWgx8Te54m1v+Hd5kNOMwGqlqrqeiyZ2Sxiv42GFnX20wH1UFUXoigI8P2rFUueFRZcKjGjyqDTxqmnE/1YT7qQYsNQ48a84w6PRnGGfOYJxx0FzfQGPTGRc/yIvTDDQZph7v83Lk8nn52NhYioqKKCoqYvv27cTHxzN27Ng2y6Xz8/MZMWIEdrsdX19fMjMzKSkpcV6fO3cuM2fOZMyYMSxZsoSDBw922F9XYlulpKSwa9cu3n77bSIiIpgyZQpnzrT8H1ldXR0/+9nPGDFiBP/3f//HP//5T6699lqSkpKoq6trt72FCxdSVVXlPEpLSzv7uERERERERKSXcHlC7ePjQ1hYGGFhYcTExLBy5Upqa2tZsWIFANu2bSMlJYXExEQKCgrYtWsXGRkZ1NfXO9vIzs6muLiYpKQktmzZQlRUFGvWrGm3v67EtvL39yc8PJyRI0fy6quvsn//fudvXnrpJQ4dOkROTg4xMTF8//vf56WXXuLTTz9l7dq17bZntVrx8/Nrc4iIiIiIiMilxeVLvs9lMpkwm83O2d3CwkIGDhxIRkaGM6a9zb4iIiKIiIggNTWVadOmkZOTw+23395uH12JPZdhGBiG4XwH+vTp05jNZkymL5dUtH5vbr5cFz6IiIiIiIirNGOmuYfnTnu6v97C5XftcDgoLy+nvLycffv2cf/991NTU8P48eOBlveRS0pKyMvL4+DBgzz99NNtZpTr6uqYM2cOW7du5fDhw/zzn/9kx44dDB069Ly+uhIL8Mknn7B48WLeffddSkpKKCws5D//8z/x8vIiMTERgB/+8IdUVlZy3333sW/fPoqLi7n77rtxc3MjNjb2G3hiIiIiIiIi0hu4fIZ6/fr1BAcHAy0bfEVGRrJ69WpGjx4NwIQJE0hNTWXOnDk4HA6SkpLIysoiOzsbAIvFwokTJ5g+fToVFRX06dOH5OTkdjf96kosgKenJ++88w5Lly6lsrKSfv36MXLkSAoLC521rSMjI3nzzTdZtGgRN998M2azmeHDh7e5LxERERERkZ7SZJhpMnp27rSn++stTIZhGK4exOWuuroaf39/RjMRN1PnSniJiIiIiPQ6vWiX7/KTNhwnPb92l29zzRk4XXfeLt9bWUtVVdUltd9Ra16x7N2b8PLt2bnTuppG5kT/65J7Zhfr8vwzgoiIiIiIiMhFcvmSbxEREREREek+zZhopqfrUPdsf73Ft36GOjc3l4CAAFcPQ0RERERERL5lXJpQz5gxA5PJ5DwCAwNJSEhgz5493dbH1KlTOXDgwAX//p577mHw4MF4eXkRFBTExIkT2b9/v/N6bm5um3s4+/jss8+64xZEREREREQ6rXVTsp4+Lkcuv+uEhATKysooKytj8+bNuLm5MW7cuG5r38vLy7kj94WIjo4mJyeHffv2sWHDBgzDIC4ujqamJqAlYW8df+sRHx/PqFGjLqpfERERERER6d1cnlBbrVbsdjt2u51hw4aRnp5OaWkpx44dc8YsWLCAiIgIvL29GTRoEFlZWTQ0NDiv7969m9jYWGw2G35+fkRHR7Nz507g/CXfXxXbntmzZzNy5EhCQkK44YYbePTRRyktLeXQoUNAS8LeOn673Y7FYmHLli387Gc/694HJSIiIiIi0glNmF1yXI561aZkNTU1rFq1irCwMAIDA53nbTYbubm59O/fn7179zJr1ixsNhvz588HICUlheHDh7N8+XIsFgtFRUW4u7dffqorseeqra0lJyeH0NBQBgwY0G7MCy+8gLe3N5MnT+6wHYfDgcPhcH6vrq7uVP8iIiIiIiLSe7g8oS4oKMDX1xdoSViDg4MpKCjAbP7yLxyZmZnOzyEhIcybN4+8vDxnQl1SUkJaWhqRkZEAhIeHd9hfV2JbPfvss8yfP5/a2lqGDBnCpk2b8PDwaDf2ueee44477sDLy6vD9hYvXsyiRYu+tl8RERERkR5xbv1od4+W+tFeVgwvD5p8PL6oH235sn60raV+dOMVjVivOIM94BRX+55ksM8xQq3HGOB+ArulhivNTfibPbCa3LCYWv6Nf7q5nhqjgfImC0cb/fnIYefD03Y+rO7L0ZN+fHK4L5aTbrhXm/GoBvdqA+spA4/qL+tHm2rPYKpzYJyuw3A4MOrrMZqawKjFSi0DO3HbzV8cIhfK5fPysbGxFBUVUVRUxPbt24mPj2fs2LEcPnzYGZOfn8+IESOw2+34+vqSmZlJSUmJ8/rcuXOZOXMmY8aMYcmSJRw8eLDD/roS2yolJYVdu3bx9ttvExERwZQpUzhz5sx5cdu2bWPfvn1fu9x74cKFVFVVOY/S0tKvHYOIiIiIiEhnNBsmlxyXI5cn1D4+PoSFhREWFkZMTAwrV66ktraWFStWAC1JakpKComJiRQUFLBr1y4yMjKor693tpGdnU1xcTFJSUls2bKFqKgo1qxZ025/XYlt5e/vT3h4OCNHjuTVV19l//797f5m5cqVDBs2jOjo6K9sz2q14ufn1+YQERERERGRS4vLE+pzmUwmzGYzdXV1ABQWFjJw4EAyMjK48cYbCQ8PbzN73SoiIoLU1FQ2btxIcnIyOTk5HfbRldhzGYaBYRht3oGGlve/X3nlFW1GJiIiIiIiLtXsgg3JmntfatkjXP4OtcPhoLy8HIDKykqWLVtGTU0N48ePB1recS4pKSEvL4+YmBjWrVvXZna4rq6OtLQ0Jk+eTGhoKEeOHGHHjh1MmjTpvL66EgvwySefkJ+fT1xcHEFBQRw5coQlS5bg5eVFYmJim9j8/HwaGxu58847u+vRiIiIiIiISC/m8oR6/fr1BAcHAy27eUdGRrJ69WpGjx4NwIQJE0hNTWXOnDk4HA6SkpLIysoiOzsbAIvFwokTJ5g+fToVFRX06dOH5OTkdjf96kosgKenJ++88w5Lly6lsrKSfv36MXLkSAoLC8+rMf3cc8+RnJzcpkSXiIiIiIiIfHuZDMMwXD2Iy111dTX+/v6MZiJups6V8BIRERER6Ta9bJfv0ye9LmKX74tPbxqNBraylqqqqktqv6PWvOJX22Px9O3ZudMzNY389/feuuSe2cW6PBe6i4iIiIiIiFwkly/5FhERERERke7ThIkmeraMVU/311t862eoc3Nz9V6ziIiIiIiIdDuXJtQzZszAZDI5j8DAQBISEtizZ0+39TF16lQOHDhwwb+/5557GDx4MF5eXgQFBTFx4kT2799/Xlxubi7XX389np6e9O3bl/vuu+9ihi0iIiIiInJBmg2zS47LkcvvOiEhgbKyMsrKyti8eTNubm6MGzeu29r38vI6b0furoiOjiYnJ4d9+/axYcMGDMMgLi6OpqYmZ8zvfvc7MjIySE9Pp7i4mL///e/Ex8d3x/BFRERERESkl3J5Qm21WrHb7djtdoYNG0Z6ejqlpaUcO3bMGbNgwQIiIiLw9vZm0KBBZGVl0dDQ4Ly+e/duYmNjsdls+Pn5ER0dzc6dO4Hzl3x/VWx7Zs+ezciRIwkJCeGGG27g0UcfpbS0lEOHDgEttbMzMzN54YUXuOOOOxg8eDDXX389EyZM6N4HJSIiIiIiIr1Kr9qUrKamhlWrVhEWFkZgYKDzvM1mIzc3l/79+7N3715mzZqFzWZj/vz5AKSkpDB8+HCWL1+OxWKhqKgId/f2y091JfZctbW15OTkEBoayoABAwDYtGkTzc3N/Pvf/2bo0KGcOnWKW265hSeeeMIZcy6Hw4HD4XB+r66u7lT/IiIiIiIiX6eJnt8krOnrQ76VXJ5QFxQU4OvrC7QkrMHBwRQUFGA2fzl5npmZ6fwcEhLCvHnzyMvLcybUJSUlpKWlERkZCUB4eHiH/XUlttWzzz7L/Pnzqa2tZciQIWzatAkPDw8APvnkE5qbm/nVr37FU089hb+/P5mZmfzwhz9kz549zrizLV68mEWLFn1tvyIiIiIiX8lkaqkf7eaGycMDrFZMVo+z6kdbafJ2o8H2Rf1om4l6fxP1/gYNAU24BzgIuuIUA2wnGeR9nBDP41zjfoL+blVcaW4kwOyGl8nDWT/aYTRwqrmeY00mjjbZOFjfjw9P29lXbedIlT8lRwPZdjIS96qW+tEe1QYezvrRjVhq6jHXnsF0+gxGXR3GGQdGfQNGYwMYDsyUcnUnbrv5m32qIp3m8iXfsbGxFBUVUVRUxPbt24mPj2fs2LEcPnzYGZOfn8+IESOw2+34+vqSmZlJSUmJ8/rcuXOZOXMmY8aMYcmSJRw8eLDD/roS2yolJYVdu3bx9ttvExERwZQpUzhz5gwAzc3NNDQ08PTTTxMfH8/3v/99Xn75ZT766CPeeuutdttbuHAhVVVVzqO0tLSzj0tEREREROQraVOynuPyu/bx8SEsLIywsDBiYmJYuXIltbW1rFixAoBt27aRkpJCYmIiBQUF7Nq1i4yMDOrr651tZGdnU1xcTFJSElu2bCEqKoo1a9a0219XYlv5+/sTHh7OyJEjefXVV9m/f7/zN8HBwQBERUU544OCgujTp0+bpP9sVqsVPz+/NoeIiIiIiIhcWlyeUJ/LZDJhNpupq6sDoLCwkIEDB5KRkcGNN95IeHh4m9nrVhEREaSmprJx40aSk5PJycnpsI+uxJ7LMAwMw3C+Az1ixAgAPvzwQ2fM559/zvHjxxk4cGCn2xUREREREZFLi8vfoXY4HJSXlwMtO2YvW7aMmpoaxo8fD7S841xSUkJeXh4xMTGsW7euzYxyXV0daWlpTJ48mdDQUI4cOcKOHTuYNGnSeX11JRZa3o/Oz88nLi6OoKAgjhw5wpIlS/Dy8iIxMRFoSc4nTpzIL3/5S/74xz/i5+fHwoULiYyMJDY2trsfl4iIiIiIyFdqMsw09fAS7J7ur7dweUK9fv1657Jpm81GZGQkq1evZvTo0QBMmDCB1NRU5syZg8PhICkpiaysLLKzswGwWCycOHGC6dOnU1FRQZ8+fUhOTm5306+uxAJ4enryzjvvsHTpUiorK+nXrx8jR46ksLCwTW3rF154gdTUVJKSkjCbzYwaNYr169d3evdwERERERERufSYDMMwXD2Iy111dTX+/v6MZiJuJiXhIiIiItJJvWyX75qT3phOul/gLt+9Jy1pNBrYylqqqqouqf2OWvOK9G1jsfr2bF7hqGlgyc1/u+Se2cW6POflRURERERERC6Sy5d8i4iIiIiISPfRO9Q951t/17m5uQQEBLh6GCIiIiIiIvIt49KEesaMGZhMJucRGBhIQkICe/bs6bY+pk6dyoEDBy749/fccw+DBw/Gy8uLoKAgJk6cyP79+9vEnH0PrUdeXt7FDl1ERERERORb7ZlnniEkJARPT09uuukmtm/f/pXxJ0+e5L777iM4OBir1UpERAR//etfe2i053P5DHVCQgJlZWWUlZWxefNm3NzcGDduXLe17+Xl1WZH7q6Kjo4mJyeHffv2sWHDBgzDIC4ujqampjZxOTk5zvsoKyvjRz/60UWOXEREREREpOuaDZNLjq7Kz89n7ty5PPTQQ7z33nt897vfJT4+ns8++6zd+Pr6en74wx9y6NAhXn31VT788ENWrFjBVVdddbGP7IK5PKG2Wq3Y7XbsdjvDhg0jPT2d0tJSjh075oxZsGABEREReHt7M2jQILKysmhoaHBe3717N7GxsdhsNvz8/IiOjmbnzp3A+Uu+vyq2PbNnz2bkyJGEhIRwww038Oijj1JaWsqhQ4faxAUEBDjvw2634+np2T0PSERERERE5Fvod7/7HbNmzeLuu+8mKiqK3//+93h7e/P888+3G//888/z+eef8/rrrzNixAhCQkIYNWoU3/3ud3t45F9yeUJ9tpqaGlatWkVYWBiBgYHO8zabjdzcXD744AOeeuopVqxYwZNPPum8npKSwtVXX82OHTt49913SU9P77AGdFdiz1VbW0tOTg6hoaEMGDCgzbX77ruPPn368L3vfY/nn3+er6pG5nA4qK6ubnOIiIiIiIh0hybMLjmA8/Ich8PR7hjr6+t59913GTNmjPOc2WxmzJgxbNu2rd3fvPHGG9x8883cd9999OvXj2uvvZZf/epX560e7kku3+W7oKAAX19foCVhDQ4OpqCgALP5y1w/MzPT+TkkJIR58+aRl5fH/PnzASgpKSEtLY3IyEgAwsPDO+yvK7Gtnn32WebPn09tbS1Dhgxh06ZNeHh4OK8//PDD3HrrrXh7e7Nx40Z+8YtfUFNTwwMPPNBue4sXL2bRokVf26+IiIiIfEudVT8ad3dMVg9MVitYPWj29qTZ251GXw8afSzU276oH+3XWj+6GfMV9VwZUMPVtpOE+pxgkNe/GeB+gqvcThJkqcffbMHb5IG7yQJAg9FETbODY80G5U0+fFLfl311/fmwuh8lVQFsPxjC9qrwlvrRVaaz6kc3417TiNspB+Yax5f1o+vOnFU/uhk4SjBHv/a2DcB1qY/0hHMnHh966CGys7PPizt+/DhNTU3069evzfl+/fqdt2dVq08++YQtW7aQkpLCX//6Vz7++GN+8Ytf0NDQwEMPPdRt99AVLk+oY2NjWb58OQCVlZU8++yzjB07lu3btzNw4ECgZW39008/zcGDB6mpqaGxsbFNsfC5c+cyc+ZMXnzxRcaMGcN//ud/Mnjw4Hb760psq5SUFH74wx9SVlbGb3/7W6ZMmcI///lP57LurKwsZ+zw4cOpra3l8ccf7zChXrhwIXPnznV+r66uPu9/8URERERERC41paWlbXI1q9XabW03NzfTt29f/vjHP2KxWIiOjubf//43jz/+uMsSapcv+fbx8SEsLIywsDBiYmJYuXIltbW1rFixAoBt27aRkpJCYmIiBQUF7Nq1i4yMDOrr651tZGdnU1xcTFJSElu2bCEqKoo1a9a0219XYlv5+/sTHh7OyJEjefXVV9m/f/9X/uamm27iyJEjHS5vsFqt+Pn5tTlERERERES6gys3JTs3z+kooe7Tpw8Wi4WKioo25ysqKrDb7e3+Jjg4mIiICCwWi/Pc0KFDKS8vb5Mf9iSXJ9TnMplMmM1m6urqACgsLGTgwIFkZGRw4403Eh4ezuHDh8/7XUREBKmpqWzcuJHk5GRycnI67KMrsecyDAPDMDpMlgGKioq44ooruvWvMSIiIiIiIt8WHh4eREdHs3nzZue55uZmNm/ezM0339zub0aMGMHHH39Mc3Oz89yBAwcIDg5u80puT3L5km+Hw0F5eTnQsuR72bJl1NTUMH78eKDlHeeSkhLy8vKIiYlh3bp1bWaH6+rqSEtLY/LkyYSGhnLkyBF27NjBpEmTzuurK7HQskY/Pz+fuLg4goKCOHLkCEuWLMHLy4vExEQA3nzzTSoqKvj+97+Pp6cnmzZt4le/+hXz5s3r7kclIiIiIiLytZox09zDc6cX0t/cuXO56667uPHGG/ne977H0qVLqa2t5e677wZg+vTpXHXVVSxevBiAe++9l2XLlvHLX/6S+++/n48++ohf/epXHb5q2xNcnlCvX7+e4OBgoGU378jISFavXs3o0aMBmDBhAqmpqcyZMweHw0FSUhJZWVnOF9stFgsnTpxg+vTpVFRU0KdPH5KTk9vd9KsrsQCenp688847LF26lMrKSvr168fIkSMpLCx01rZ2d3fnmWeeITU1FcMwCAsLc27/LiIiIiIiIu2bOnUqx44d48EHH6S8vJxhw4axfv1650ZlJSUlbTarHjBgABs2bCA1NZXrr7+eq666il/+8pcsWLDAVbeAyfiq+k7SI6qrq/H392c0E3Ezda6El4iIiIhcwrp9l+9jF7XL98mTPlDlfoG7fH/70olGo4GtrKWqquqS2u+oNa+4951krL49m1c4ahpY/oPXLrlndrF63TvUIiIiIiIiIpcCJdQiIiIiIiIiF+Bbn1Dn5uYSEBDg6mGIiIiIiIj0CFeWzbrcuDShnjFjBiaTyXkEBgaSkJDAnj17uq2PqVOncuDAgQv+/T333MPgwYPx8vIiKCiIiRMnsn///nZjT5w4wdVXX43JZOLkyZMX3KeIiIiIiIj0fi6foU5ISKCsrIyysjI2b96Mm5sb48aN67b2vby8nDtyX4jo6GhycnLYt28fGzZswDAM4uLiaGpqOi/2Zz/7Gddff/3FDFdEREREROSiGIaZ5h4+DMPlqaVLuPyurVYrdrsdu93OsGHDSE9Pp7S0lGPHjjljFixYQEREBN7e3gwaNIisrCwaGhqc13fv3k1sbCw2mw0/Pz+io6PZuXMncP6S76+Kbc/s2bMZOXIkISEh3HDDDTz66KOUlpZy6NChNnHLly/n5MmTqj8tIiIiIiJymXB5Heqz1dTUsGrVKsLCwggMDHSet9ls5Obm0r9/f/bu3cusWbOw2WzMnz8fgJSUFIYPH87y5cuxWCwUFRXh7t7+NvFdiT1XbW0tOTk5hIaGMmDAAOf5Dz74gIcffph//etffPLJJ1/bjsPhwOFwOL9XV1d3qn8RERERERHpPVyeUBcUFODr6wu0JKzBwcEUFBS0KeCdmZnp/BwSEsK8efPIy8tzJtQlJSWkpaURGRkJQHh4eIf9dSW21bPPPsv8+fOpra1lyJAhbNq0CQ8PD6AlOZ42bRqPP/4411xzTacS6sWLF7No0aKvjRMRERGRXuaL+tFYLJg8PDB5uGPy8ABPK4a3J83eHjT6uH9RP9ryZf1oP6gPaIYr6gkIqOVq/ypCfE4wyKucAe6fM8D9BEFmBwFmM75ma5v60aeNej5vauJokzeHGoI4cMbOvlN2DlVdyZ7Sqyk6OQi3KjMe1SY8qr6oH32qGfdTTbifqsdc68BUW4dx+gzGmTMY9fUYDY3Q3ARUEEQFQV9z2wZw/guP0ls1YaKJnt0krKf76y1cvuQ7NjaWoqIiioqK2L59O/Hx8YwdO5bDhw87Y/Lz8xkxYgR2ux1fX18yMzMpKSlxXp87dy4zZ85kzJgxLFmyhIMHD3bYX1diW6WkpLBr1y7efvttIiIimDJlCmfOnAFg4cKFDB06lDvvvLPT97xw4UKqqqqcR2lpaad/KyIiIiIiIr2DyxNqHx8fwsLCCAsLIyYmhpUrV1JbW8uKFSsA2LZtGykpKSQmJlJQUMCuXbvIyMigvr7e2UZ2djbFxcUkJSWxZcsWoqKiWLNmTbv9dSW2lb+/P+Hh4YwcOZJXX32V/fv3O3+zZcsWVq9ejZubG25ubtx2220A9OnTh4ceeqjd9qxWK35+fm0OERERERGR7tBsuKJ0lqvv2jVcvuT7XCaTCbPZTF1dHQCFhYUMHDiQjIwMZ8zZs9etIiIiiIiIIDU1lWnTppGTk8Ptt9/ebh9diT2XYRgYhuF8B/ovf/mLc6wAO3bs4Kc//SnvvPMOgwcP7vR9i4iIiIiIyKXF5Qm1w+GgvLwcgMrKSpYtW0ZNTQ3jx48HWt5xLikpIS8vj5iYGNatW9dmRrmuro60tDQmT55MaGgoR44cYceOHUyaNOm8vroSC/DJJ5+Qn59PXFwcQUFBHDlyhCVLluDl5UViYiLAeUnz8ePHARg6dGib3cVFRERERER6Qmspq57u83Lk8oR6/fr1BAcHAy27eUdGRrJ69WpGjx4NwIQJE0hNTWXOnDk4HA6SkpLIysoiOzsbAIvFwokTJ5g+fToVFRX06dOH5OTkdjf96kosgKenJ++88w5Lly6lsrKSfv36MXLkSAoLCy+qtrWIiIiIiIhc+kyGYVymq917j+rqavz9/RnNRNxMnSvhJSIiIiIu0O27fB+7qF2+Pz/pS/NJj4vY5Vva02g0sJW1VFVVXVL7HbXmFXe99WM8fD16tO/6mnr+FJt3yT2zi+XyGWoRERERERHpPs2YaO7hMlY93V9vcXkudBcRERERERG5SN/6hDo3N1ebg4mIiIiIyGWjyTC55LgcuTShnjFjBiaTyXkEBgaSkJDAnj17uq2PqVOncuDAgQv+/T333MPgwYPx8vIiKCiIiRMnsn//fuf1EydOkJCQQP/+/bFarQwYMIA5c+ZQXV3dHcMXERERERGRXsrlM9QJCQmUlZVRVlbG5s2bcXNzY9y4cd3WvpeX10XtyB0dHU1OTg779u1jw4YNGIZBXFwcTU0tmziYzWYmTpzIG2+8wYEDB8jNzeXvf/87P//5z7vrFkRERERERKQXcnlCbbVasdvt2O12hg0bRnp6OqWlpRw7dswZs2DBAiIiIvD29mbQoEFkZWXR0NDgvL57925iY2Ox2Wz4+fkRHR3Nzp07gfOXfH9VbHtmz57NyJEjCQkJ4YYbbuDRRx+ltLSUQ4cOAXDFFVdw7733cuONNzJw4EBuu+02fvGLX/DOO+9074MSERERERHphNY61D19XI561S7fNTU1rFq1irCwMAIDA53nbTYbubm59O/fn7179zJr1ixsNhvz588HICUlheHDh7N8+XIsFgtFRUW4u7dffqorseeqra0lJyeH0NBQBgwY0G7M0aNHee211xg1alSH7TgcDhwOh/O7loeLiIiIiIhcelyeUBcUFODr6wu0JKzBwcEUFBRgNn/5F47MzEzn55CQEObNm0deXp4zoS4pKSEtLY3IyEgAwsPDO+yvK7Gtnn32WebPn09tbS1Dhgxh06ZNeHi0res2bdo01q5dS11dHePHj2flypUdtrd48WIWLVr0tf2KiIiISDcxmcBkxuTuhsnNraWGtPWL+tFeVpq9PWjy9qDB5kaDrwWHzURDa/1o/2aar2jAdsVp+vtVM8h2goGeJwi1fsZVbpXYLafxN5uwmT2wmlomapqMZuqMej5vbqS8ycqhhj58fMbOBzXBfFp9JfuP9mNv1TW4nbTgUWXC4xR4VLfUj/aobsSttgHLKQem02cwTtdB3RmaHY6z6kef4ApOcMXX3LYBqNr05acZE809vEmYyma5SGxsLEVFRRQVFbF9+3bi4+MZO3Yshw8fdsbk5+czYsQI7HY7vr6+ZGZmUlJS4rw+d+5cZs6cyZgxY1iyZAkHDx7ssL+uxLZKSUlh165dvP3220RERDBlyhTOnDnTJubJJ5/kvffeY+3atRw8eJC5c+d22N7ChQupqqpyHqWlpV87BhEREREREeldXJ5Q+/j4EBYWRlhYGDExMaxcuZLa2lpWrFgBwLZt20hJSSExMZGCggJ27dpFRkYG9fX1zjays7MpLi4mKSmJLVu2EBUVxZo1a9rtryuxrfz9/QkPD2fkyJG8+uqr7N+//7zf2O12IiMjmTBhAn/4wx9Yvnw5ZWVl7bZntVrx8/Nrc4iIiIiIiMilxeVLvs9lMpkwm83U1dUBUFhYyMCBA8nIyHDGnD173SoiIoKIiAhSU1OZNm0aOTk53H777e320ZXYcxmGgWEYbd6BPldzczPAV8aIiIiIiIh8EwxMPb4E27hMl3y7PKF2OByUl5cDUFlZybJly6ipqWH8+PFAyzvOJSUl5OXlERMTw7p169rMDtfV1ZGWlsbkyZMJDQ3lyJEj7Nixg0mTJp3XV1diAT755BPy8/OJi4sjKCiII0eOsGTJEry8vEhMTATgr3/9KxUVFcTExODr60txcTFpaWmMGDGCkJCQbn5aIiIiIiIi0lu4PKFev349wcHBQMtu3pGRkaxevZrRo0cDMGHCBFJTU5kzZw4Oh4OkpCSysrLIzs4GwGKxcOLECaZPn05FRQV9+vQhOTm53U2/uhIL4OnpyTvvvMPSpUuprKykX79+jBw5ksLCQmdtay8vL1asWEFqaioOh4MBAwaQnJxMenp69z8sERERERGRr9FsuGBTsh7ur7cwGYZhuHoQl7vq6mr8/f0ZzUTcTJ0r4SUiIiIiXdDLdvk+Vmmjocp6Ebt8yzep0WhgK2upqqq6pPY7as0rJv39Ltx9PL7+B92oobaev4z50yX3zC6Wy2eoRUREREREpPs0G2aajZ7df7qn++stLs+7FhEREREREblI3/qEOjc3l4CAAFcPQ0RERERERL5lXJpQz5gxA5PJ5DwCAwNJSEhgz5493dbH1KlTOXDgwAX//p577mHw4MF4eXkRFBTExIkT2b9/v/P67t27mTZtGgMGDMDLy4uhQ4fy1FNPdcfQRUREREREuqx1U7KePi5HLp+hTkhIoKysjLKyMjZv3oybmxvjxo3rtva9vLycO3JfiOjoaHJycti3bx8bNmzAMAzi4uJoamrZDOLdd9+lb9++rFq1iuLiYjIyMli4cCHLli3rrlsQERERERGRXsjlCbXVasVut2O32xk2bBjp6emUlpZy7NgxZ8yCBQuIiIjA29ubQYMGkZWVRUNDg/P67t27iY2NxWaz4efnR3R0NDt37gTOX/L9VbHtmT17NiNHjiQkJIQbbriBRx99lNLSUg4dOgTAT3/6U5566ilGjRrFoEGDuPPOO7n77rt57bXXuvdBiYiIiIiIdEIzJpccl6Netct3TU0Nq1atIiwsjMDAQOd5m81Gbm4u/fv3Z+/evcyaNQubzcb8+fMBSElJYfjw4SxfvhyLxUJRURHu7u2Xn+pK7Llqa2vJyckhNDSUAQMGdBhXVVXFlVde2eF1h8OBw+Fwfq+uru5U/yIiIiIiItJ7uDyhLigowNfXF2hJWIODgykoKMBs/nLyPDMz0/k5JCSEefPmkZeX50yoS0pKSEtLIzIyEoDw8PAO++tKbKtnn32W+fPnU1tby5AhQ9i0aRMeHu3XdSssLCQ/P59169Z12N7ixYtZtGjR1/YrIiIiIoDZgsliaakh7eEOVismTyuGp5VmbytNPu40+rrT4GvGYTPTYGutH23QdEUDPlfWEexfzTU+lYR6HyfUeowB7icIMp8m0GLg30796JPNjRxvcudQYyAfOfqxvyaYg9V9OHT8Sj78uD9uJ91wrzbhUX1W/ehTTbidaqkfbT59Bk7XYZw5g3HGQXN9wxf1o0/iy0l8O3HbqjYt0vu5fMl3bGwsRUVFFBUVsX37duLj4xk7diyHDx92xuTn5zNixAjsdju+vr5kZmZSUlLivD537lxmzpzJmDFjWLJkCQcPHuywv67EtkpJSWHXrl28/fbbREREMGXKFM6cOXNe3Pvvv8/EiRN56KGHiIuL67C9hQsXUlVV5TxKS0u/dgwiIiIiIiKdoU3Jeo7LE2ofHx/CwsIICwsjJiaGlStXUltby4oVKwDYtm0bKSkpJCYmUlBQwK5du8jIyKC+vt7ZRnZ2NsXFxSQlJbFlyxaioqJYs2ZNu/11JbaVv78/4eHhjBw5kldffZX9+/ef95sPPviA2267jdmzZ7eZUW+P1WrFz8+vzSEiIiIiIiKXFpcv+T6XyWTCbDZTV1cHtCyhHjhwIBkZGc6Ys2evW0VERBAREUFqairTpk0jJyeH22+/vd0+uhJ7LsMwMAyjzTvQxcXF3Hrrrdx111089thjXbldERERERGRbuWKGePLdYba5Qm1w+GgvLwcgMrKSpYtW0ZNTQ3jx48HWt5xLikpIS8vj5iYGNatW9dmdriuro60tDQmT55MaGgoR44cYceOHUyaNOm8vroSC/DJJ5+Qn59PXFwcQUFBHDlyhCVLluDl5UViYiLQssz71ltvJT4+nrlz5zrvxWKxEBQU1K3PSkRERERERHoPlyfU69evJzg4GGjZzTsyMpLVq1czevRoACZMmEBqaipz5szB4XCQlJREVlYW2dnZQEvieuLECaZPn05FRQV9+vQhOTm53U2/uhIL4OnpyTvvvMPSpUuprKykX79+jBw5ksLCQmdt61dffZVjx46xatUqVq1a5fztwIEDnaW1REREREREeopmqHuOyTAMw9WDuNxVV1fj7+/PaCbiZupcCS8RERGRy0Yv2uW7/KQNx0nPi9jlWy4FjUYDW1lLVVXVJbXfUWteEf+32bj7tF+V6JvSUFvPhrF/vOSe2cVy+aZkIiIiIiIiIpcily/5FhERERERke6jJd8951s/Q52bm0tAQICrhyEiIiIiIiLfMi5NqGfMmIHJZHIegYGBJCQksGfPnm7rY+rUqRw4cOCCf3/PPfcwePBgvLy8CAoKYuLEiezfv79NzAMPPEB0dDRWq5Vhw4Zd5IhFREREREQunAE0Y+rR43LdmMvlM9QJCQmUlZVRVlbG5s2bcXNzY9y4cd3WvpeXl3NH7gsRHR1NTk4O+/btY8OGDRiGQVxcHE1NbTeV+OlPf8rUqVMvdrgiIiIiIiJyiXB5Qm21WrHb7djtdoYNG0Z6ejqlpaUcO3bMGbNgwQIiIiLw9vZm0KBBZGVl0dDQ4Ly+e/duYmNjsdls+Pn5ER0dzc6dO4Hzl3x/VWx7Zs+ezciRIwkJCeGGG27g0UcfpbS0tE1JrKeffpr77ruPQYMGdd+DERERERERkV6tV21KVlNTw6pVqwgLCyMwMNB53mazkZubS//+/dm7dy+zZs3CZrMxf/58AFJSUhg+fDjLly/HYrFQVFSEu3v75ae6Enuu2tpacnJyCA0NZcCAARd8nw6HA4fD4fxeXV19wW2JiIiIiIicTZuS9RyXJ9QFBQX4+voCLQlrcHAwBQUFmM1fTp5nZmY6P4eEhDBv3jzy8vKcCXVJSQlpaWlERkYCEB4e3mF/XYlt9eyzzzJ//nxqa2sZMmQImzZtwsPjwuu6LV68mEWLFl3w70VEREQuCe3Vj/bwwPCyYnhbafJurR9t+bJ+tA3qAwwaAxrxvPIM/fxPcY3tc0K9TzjrR9stNVxpbvqifrQbFlPLvxtPN9dTYzRQ3mShtDGATxz92Hc6mI+qgzh60o+PP+2HpcoN9yrzOfWjm3E/1YClxoGp9gym2jqMMw4MhwOjvh6jsRGowUoNAztx281fHCLy7efyJd+xsbEUFRVRVFTE9u3biY+PZ+zYsRw+fNgZk5+fz4gRI7Db7fj6+pKZmUlJSYnz+ty5c5k5cyZjxoxhyZIlHDx4sMP+uhLbKiUlhV27dvH2228TERHBlClTOHPmzAXf88KFC6mqqnIepaWlF9yWiIiIiIjI2VpnqHv6uBy5PKH28fEhLCyMsLAwYmJiWLlyJbW1taxYsQKAbdu2kZKSQmJiIgUFBezatYuMjAzq6+udbWRnZ1NcXExSUhJbtmwhKiqKNWvWtNtfV2Jb+fv7Ex4ezsiRI3n11VfZv3//1/7mq1itVvz8/NocIiIiIiIicmlx+ZLvc5lMJsxmM3V1dQAUFhYycOBAMjIynDFnz163ioiIICIigtTUVKZNm0ZOTg633357u310JfZchmFgGEabd6BFRERERER6C71D3XNcnlA7HA7Ky8sBqKysZNmyZdTU1DB+/Hig5R3nkpIS8vLyiImJYd26dW1mh+vq6khLS2Py5MmEhoZy5MgRduzYwaRJk87rqyuxAJ988gn5+fnExcURFBTEkSNHWLJkCV5eXiQmJjrjPv74Y2pqaigvL6euro6ioiIAoqKiLupdaxEREREREem9XJ5Qr1+/nuDgYKBlN+/IyEhWr17N6NGjAZgwYQKpqanMmTMHh8NBUlISWVlZZGdnA2CxWDhx4gTTp0+noqKCPn36kJyc3O6mX12JBfD09OSdd95h6dKlVFZW0q9fP0aOHElhYWGb2tYzZ87k7bffdn4fPnw4AJ9++ikhISHd8JRERERERESktzEZhmG4ehCXu+rqavz9/RnNRNxMnSvhJSIiItLr9bJdvk9Xel3ELt9yOWk0GtjKWqqqqi6p/Y5a84r/eOM+3HysPdp3Y62Df0x45pJ7ZhfL5ZuSiYiIiIiIiFyKXL7kW0RERERERLqPYZgweniTsJ7ur7f41s9Q5+bmEhAQ4OphiIiIiIiIyLeMSxPqGTNmYDKZnEdgYCAJCQns2bOn2/qYOnUqBw4cuODf33PPPQwePBgvLy+CgoKYOHEi+/fvbxNTUlJCUlIS3t7e9O3bl7S0NBr1ro2IiIiIiMi3mstnqBMSEigrK6OsrIzNmzfj5ubGuHHjuq19Ly+vNjtyd1V0dDQ5OTns27ePDRs2YBgGcXFxNDU1AdDU1ERSUhL19fUUFhbypz/9idzcXB588MHuugUREREREZFOa8bkkuNy5PKE2mq1YrfbsdvtDBs2jPT0dEpLSzl27JgzZsGCBURERODt7c2gQYPIysqioaHBeX337t3ExsZis9nw8/MjOjqanTt3Aucv+f6q2PbMnj2bkSNHEhISwg033MCjjz5KaWkphw4dAmDjxo188MEHrFq1imHDhjF27FgeeeQRnnnmGerr67v3YYmIiIiIiEiv0as2JaupqWHVqlWEhYURGBjoPG+z2cjNzaV///7s3buXWbNmYbPZmD9/PgApKSkMHz6c5cuXY7FYKCoqwt29/fJTXYk9V21tLTk5OYSGhjJgwAAAtm3bxnXXXUe/fv2ccfHx8dx7770UFxc7a1KfzeFw4HA4nN+rq6s71b+IiIiIiMjXaTZMNPfwJmE93V9v4fKEuqCgAF9fX6AlYQ0ODqagoACz+cvJ88zMTOfnkJAQ5s2bR15enjOhLikpIS0tjcjISADCw8M77K8rsa2effZZ5s+fT21tLUOGDGHTpk14eHgAUF5e3iaZBpzfy8vL221v8eLFLFq06Gv7FREREXEJk6mlfrSbGyYPj5b60dYv6kd7edDkY6XJ240Gm4V6XzMOPzMNflDvb9AQ0IR7gIOgK04xwHaSQd7HCfE8zjXuJ+jvVsWV5kYCzG54mTyc9aMdRgOnmus51mSitNGfT+r7sr8umAPVfTlS5c/hf4fzz6qotvWjqw08TjXhfqoRS0095po6THUOjLo6jLozLfWjm5rAOIOZUq7uxG03f7NPVUS+hVy+5Ds2NpaioiKKiorYvn078fHxjB07lsOHDztj8vPzGTFiBHa7HV9fXzIzMykpKXFenzt3LjNnzmTMmDEsWbKEgwcPdthfV2JbpaSksGvXLt5++20iIiKYMmUKZ86cueB7XrhwIVVVVc6jtLT0gtsSERERERE5W2vZrJ4+LkcuT6h9fHwICwsjLCyMmJgYVq5cSW1tLStWrABallSnpKSQmJhIQUEBu3btIiMjo837ydnZ2RQXF5OUlMSWLVuIiopizZo17fbXldhW/v7+hIeHM3LkSF599VX279/v/I3dbqeioqJNfOt3u93ebntWqxU/P782h4iIiIiIiFxaXJ5Qn8tkMmE2m6mrqwOgsLCQgQMHkpGRwY033kh4eHib2etWERERpKamsnHjRpKTk8nJyemwj67EnsswDAzDcL4DffPNN7N3714+++wzZ8ymTZvw8/MjKiqq0+2KiIiIiIjIpcXl71A7HA7nu8aVlZUsW7aMmpoaxo8fD7S841xSUkJeXh4xMTGsW7euzYxyXV0daWlpTJ48mdDQUI4cOcKOHTuYNGnSeX11JRbgk08+IT8/n7i4OIKCgjhy5AhLlizBy8uLxMREAOLi4oiKiuInP/kJv/nNbygvLyczM5P77rsPq9Xa3Y9LRERERETkK2lTsp7j8oR6/fr1BAcHAy27eUdGRrJ69WpGjx4NwIQJE0hNTWXOnDk4HA6SkpLIysoiOzsbAIvFwokTJ5g+fToVFRX06dOH5OTkdjf96kosgKenJ++88w5Lly6lsrKSfv36MXLkSAoLC521rS0WCwUFBdx7773cfPPN+Pj4cNddd/Hwww93/8MSERERERGRXsNkGIbh6kFc7qqrq/H392c0E3Ezda6El4iIiMg3ppft8n2q0htzlfsF7vKtf+pK1zUaDWxlLVVVVZfUfketeUX0X1Jx8+nZ1bKNtQ7enfTkJffMLlave4daRERERERELg/PPPMMISEheHp6ctNNN7F9+/YOY3NzczGZTG0OT0/PHhzt+ZRQi4iIiIiISI/Lz89n7ty5PPTQQ7z33nt897vfJT4+vs2Gz+fy8/OjrKzMebS3YXVP+tYn1Lm5uQQEBLh6GCIiIiIiIj3C+GJTsp48LqQO9e9+9ztmzZrF3XffTVRUFL///e/x9vbm+eef7/A3JpMJu93uPPr163cxj+qiuTShnjFjRpvp+sDAQBISEtizZ0+39TF16lQOHDhwQb/9/PPPuf/++xkyZAheXl5cc801PPDAA1RVVbWJ27x5M7fccgs2mw273c6CBQtobGzsjuGLiIiIiIh869TX1/Puu+8yZswY5zmz2cyYMWPYtm1bh7+rqalh4MCBDBgwgIkTJ1JcXNwTw+2Qy2eoExISnNP1mzdvxs3NjXHjxnVb+15eXs4dubvq6NGjHD16lN/+9re8//775Obmsn79en72s585Y3bv3k1iYiIJCQns2rWL/Px83njjDdLT07vrFkRERERERDrNoGU/vh49vui7urq6zeFwONod4/Hjx2lqajpvhrlfv37OssrnGjJkCM8//zxr165l1apVNDc3c8stt3DkyJFufHpd4/KE2mq1Oqfrhw0bRnp6OqWlpRw7dswZs2DBAiIiIvD29mbQoEFkZWXR0NDgvL57925iY2Ox2Wz4+fkRHR3Nzp07gfOXfH9V7LmuvfZa/vKXvzB+/HgGDx7MrbfeymOPPcabb77pnIHOz8/n+uuv58EHHyQsLIxRo0bxm9/8hmeeeYZTp059A09MRERERESkdxowYAD+/v7OY/Hixd3W9s0338z06dMZNmwYo0aN4rXXXiMoKIg//OEP3dZHV7m8DvXZampqWLVqFWFhYQQGBjrP22w2cnNz6d+/P3v37mXWrFnYbDbmz58PQEpKCsOHD2f58uVYLBaKiopwd2+//FRXYtvTug28m1vLo3M4HOftLOfl5cWZM2d49913nfW0z+ZwONr8paa6urrT/YuIiIiIiHyVZkyY6Po7zRfbJ0BpaWmbsllWa/vlu/r06YPFYqGioqLN+YqKCux2e6f6dHd3Z/jw4Xz88ccXOOqL5/KEuqCgAF9fXwBqa2sJDg6moKAAs/nLyfPMzEzn55CQEObNm0deXp4zoS4pKSEtLY3IyEgAwsPDO+yvK7HnOn78OI888gizZ892nouPj2fp0qW8/PLLTJkyhfLych5++GEAysrK2m1n8eLFLFq0qNP9ioiIiHTKWfWjcXfHZPXAZLW21I/2tNLs7U6jrweNPhbqbWbqbSbq/U3U+xk0BDRjvtLBlf61XONXSajPCUI8KwjxOIbdUk2QpR5/swVvkwfuJgsADUYTNc0OjjUbHG20caihD/vq+vNhdT9KqgLYfjCE7SfDv6gfbTqrfnQz7jWNuJ1yYK5xYDp95qz60Q0YjQ1gNAJHCeYowV9z2wbQ9E0/WxHpFD8/v07Vofbw8CA6OprNmzfzox/9CIDm5mY2b97MnDlzOtVXU1MTe/fuJTEx8WKGfFFcvuQ7NjaWoqIiioqK2L59O/Hx8YwdO7bN9uf5+fmMGDECu92Or68vmZmZlJSUOK/PnTuXmTNnMmbMGJYsWcLBgwc77K8rsWerrq4mKSmJqKgosrOznefj4uJ4/PHH+fnPf47VaiUiIsL5H/TsPwqcbeHChVRVVTmP0tLSTo1BRERERETk22Lu3LmsWLGCP/3pT+zbt497772X2tpa7r77bgCmT5/OwoULnfEPP/wwGzdu5JNPPuG9997jzjvv5PDhw8ycOdNVt+D6hNrHx4ewsDDCwsKIiYlh5cqV1NbWsmLFCgC2bdtGSkoKiYmJFBQUsGvXLjIyMqivr3e2kZ2dTXFxMUlJSWzZsoWoqCjWrFnTbn9diW116tQpEhISsNlsrFmz5rwl4nPnzuXkyZOUlJRw/PhxJk6cCMCgQYPabc9qtTr/ctPZv+CIiIiIiIh0hvFFGauePrpq6tSp/Pa3v+XBBx9k2LBhFBUVsX79eudGZSUlJW1W/VZWVjJr1iyGDh1KYmIi1dXVFBYWEhUV1W3PrqtcvuT7XCaTCbPZTF1dHQCFhYUMHDiQjIwMZ0x7xbsjIiKIiIggNTWVadOmkZOTw+23395uH12Jra6uJj4+HqvVyhtvvHHe+9Jnj7t///4AvPzyywwYMIAbbrihS/cuIiIiIiJyOZkzZ06HS7y3bt3a5vuTTz7Jk08+2QOj6jyXJ9QOh8O5LXplZSXLli2jpqaG8ePHAy3vOJeUlJCXl0dMTAzr1q1rM6NcV1dHWloakydPJjQ0lCNHjrBjxw4mTZp0Xl9diYWWZDouLo7Tp0+zatUq59bvAEFBQVgsLe8PPf744yQkJGA2m3nttddYsmQJr7zyivO6iIiIiIhIT2k2TJguYMb4Yvu8HLk8oV6/fj3BwS1bTdhsNiIjI1m9erVzd+wJEyaQmprKnDlzcDgcJCUlkZWV5XyP2WKxcOLECaZPn05FRQV9+vQhOTm53U2/uhIL8N577/Gvf/0LgLCwsDbXPv30U0JCQgD429/+xmOPPYbD4eC73/0ua9euZezYsd3wdERERERERKS3MhmGYXx9mHyTqqur8ff3ZzQTcTN1voSXiIiISBvdvsv38Yva5fvkSR846X6Bu3zrn6jiOo1GA1tZ6yyZe6lozSuufSUNi3f75aq+KU2nHbw/5fFL7pldLJfPUIuIiIiIiEj3MYye/5vU5fo3MJfv8i0iIiIiIiJyKfrWJ9S5ubkEBAS4ehgiIiIiIiI94lIpm/Vt4NKEesaMGZhMJucRGBhIQkICe/bs6bY+pk6dyoEDBy7ot59//jn3338/Q4YMwcvLi2uuuYYHHniAqqqqNnE7duzgtttuIyAggCuuuIL4+Hh2797dHcMXERERERGRXsrlM9QJCQmUlZVRVlbG5s2bcXNzY9y4cd3WvpeXF3379r2g3x49epSjR4/y29/+lvfff5/c3FzWr1/Pz372M2dMTU0NCQkJXHPNNfzrX//iH//4Bzabjfj4eBoaGrrrNkRERERERDpFM9Q9x+UJtdVqxW63Y7fbGTZsGOnp6ZSWlnLs2DFnzIIFC4iIiMDb25tBgwaRlZXVJlndvXs3sbGx2Gw2/Pz8iI6OZufOncD5S76/KvZc1157LX/5y18YP348gwcP5tZbb+Wxxx7jzTffpLGxEYD9+/fz+eef8/DDDzNkyBC+853v8NBDD1FRUcHhw4e/gScmIiIiIiIivUGv2uW7pqaGVatWERYWRmBgoPO8zWYjNzeX/v37s3fvXmbNmoXNZmP+/PkApKSkMHz4cJYvX47FYqGoqAh39/bLT3Ultj2t28C7ubU8uiFDhhAYGMhzzz3Hf//3f9PU1MRzzz3H0KFDnXWqz+VwOHA4HM7v1dXVne5fREREREREegeXJ9QFBQX4+voCUFtbS3BwMAUFBZjNX06eZ2ZmOj+HhIQwb9488vLynAl1SUkJaWlpREZGAhAeHt5hf12JPdfx48d55JFHmD17tvOczWZj69at/OhHP+KRRx5xtrlhwwZn0n2uxYsXs2jRok73KyIiIt9yX9SPxmLB5OGBycMdk4cHeFoxvD1p9vag0cf9i/rRlpb60X4m6v0N6v0NTFc6CAio5Sq/akJ8TjDIq5wQj+P0d6skyOzgSsv59aNPG/V83tTE0SZvDjUEceCMnX2n7ByqupKikgG8d3IwblVmPKq+qB99qqV+tEd1I241DZhrzrTUjz59BuPMGYz6eoyGRmhuAioIooKgr7ltA2j6pp+tyGWo2TBh6uEl2M1a8u0asbGxFBUVUVRUxPbt24mPj2fs2LFtlkvn5+czYsQI7HY7vr6+ZGZmUlJS4rw+d+5cZs6cyZgxY1iyZAkHDx7ssL+uxJ6turqapKQkoqKiyM7Odp6vq6vjZz/7GSNGjOD//u//+Oc//8m1115LUlISdXV17ba1cOFCqqqqnEdpaWmnxiAiIiIiIiK9h8sTah8fH8LCwggLCyMmJoaVK1dSW1vLihUrANi2bRspKSkkJiZSUFDArl27yMjIoL6+3tlGdnY2xcXFJCUlsWXLFqKiolizZk27/XUlttWpU6dISEjAZrOxZs2aNkvEX3rpJQ4dOkROTg4xMTF8//vf56WXXuLTTz9l7dq17bZntVrx8/Nrc4iIiIiIiHQHw3DNcTlyeUJ9LpPJhNlsds7uFhYWMnDgQDIyMrjxxhsJDw9vd7OviIgIUlNT2bhxI8nJyeTk5HTYR1diq6uriYuLw8PDgzfeeANPT88210+fPo3ZbMZk+nKJQ+v35ubmrt6+iIiIiIiIXCJcnlA7HA7Ky8spLy9n37593H///dTU1DB+/Hig5X3kkpIS8vLyOHjwIE8//XSbGeW6ujrmzJnD1q1bOXz4MP/85z/ZsWMHQ4cOPa+vrsTCl8l0bW0tzz33HNXV1c6xNjW1vPHzwx/+kMrKSu677z727dtHcXExd999N25ubsTGxn4DT0xERERERER6A5dvSrZ+/XqCg4OBlg2+IiMjWb16NaNHjwZgwoQJpKamMmfOHBwOB0lJSWRlZTnfY7ZYLJw4cYLp06dTUVFBnz59SE5ObnfTr67EArz33nv861//AiAsLKzNtU8//ZSQkBAiIyN58803WbRoETfffDNms5nhw4e3uS8REREREZGe0rIEu2c3Cbtcl3ybDONyvfXeo7q6Gn9/f0YzETdT50t4iYiIyLdEt+/yfeyidvn+/KQvzSc9LmKXb5FLW6PRwFbWOkvmXipa84rwVelYvD2//gfdqOn0GT66c8kl98wulstnqEVERERERKT7GIbJBTPUKpslIiIiIiIiIp30rU+oc3NzCQgIcPUwRERERERE5FvGpQn1jBkzMJlMziMwMJCEhAT27NnTbX1MnTqVAwcOXNBvP//8c+6//36GDBmCl5cX11xzDQ888ABVVVXOmNzc3Db3cPbx2WefdddtiIiIiIiIdIrhouNy5PIZ6oSEBMrKyigrK2Pz5s24ubkxbty4bmvfy8uLvn37XtBvjx49ytGjR/ntb3/L+++/T25uLuvXr+dnP/uZM2bq1KnO8bce8fHxjBo16oL7FRERERERkd7P5Qm11WrFbrdjt9sZNmwY6enplJaWcuzYMWfMggULiIiIwNvbm0GDBpGVlUVDQ4Pz+u7du4mNjcVms+Hn50d0dDQ7d+4Ezl/y/VWx57r22mv5y1/+wvjx4xk8eDC33norjz32GG+++SaNjY1AS8LeOn673Y7FYmHLli1tkm4REREREZGe0ropWU8fl6Netct3TU0Nq1atIiwsjMDAQOd5m81Gbm4u/fv3Z+/evcyaNQubzcb8+fMBSElJYfjw4SxfvhyLxUJRURHu7u2Xn+pKbHtat4F3c2v/0b3wwgt4e3szefLkDttwOBw4HA7n9+rq6k73LyIiIiIiIr1DlxPqt956i9jY2Hav/eEPf+Cee+7pUnsFBQX4+voCUFtbS3BwMAUFBZjNX06eZ2ZmOj+HhIQwb9488vLynAl1SUkJaWlpREZGAhAeHt5hf12JPdfx48d55JFHmD17docxzz33HHfccQdeXl4dxixevJhFixZ1ul8RERHppUwmMJkxubthcnNrqSFt/aJ+tJeVZm8Pmrw9aLC50eBrwWEz0eBnot4P6v2bab6iAb8rThPsV80g2wlCvY4x0OM4V7lVYrec5kqzGW+zO1ZTyx//m4xm6ox6Pm9upLzJyqGGPnx8xs4HNcEcrApk/9F+7K26BreTli/qR9O2fnRtA5ZTDky1dRh1Z6DuDM0Ox1n1o09wBSe44mtu2wBUbVqkF3PFS82XwEvUJ0+e5NVXX+XgwYOkpaVx5ZVX8t5779GvXz+uuuqqC2qzy0u+ExISSEtLa7Pk+vjx44wfP5709PQuDyA2NpaioiKKiorYvn078fHxjB07lsOHDztj8vPzGTFiBHa7HV9fXzIzMykpKXFenzt3LjNnzmTMmDEsWbKEgwcPdthfV2LPVl1dTVJSElFRUWRnZ7cbs23bNvbt2/e1y70XLlxIVVWV8ygtLe3UGERERERERKTr9uzZQ0REBL/+9a/57W9/y8mTJwF47bXXWLhw4QW32+WE+q233mLNmjXExMTwwQcfsG7dOq699lqqq6spKirq8gB8fHwICwsjLCyMmJgYVq5cSW1tLStWrABaktSUlBQSExMpKChg165dZGRkUF9f72wjOzub4uJikpKS2LJlC1FRUaxZs6bd/roS2+rUqVMkJCRgs9lYs2ZNh0vEV65cybBhw4iOjv7K9qxWK35+fm0OERERERER+WbMnTuXGTNm8NFHH+Hp6ek8n5iYyP/+7/9ecLtdTqhvueUWioqKuPbaa7nhhhu4/fbbSU1NZevWrQwcOPCCB9LKZDJhNpupq6sDoLCwkIEDB5KRkcGNN95IeHh4m9nrVhEREaSmprJx40aSk5PJycnpsI+uxFZXVxMXF4eHhwdvvPFGm4d/tpqaGl555RVtRiYiIiIiIq7lig3JevmmZDt27Gj39eSrrrqK8vLyC273gnb5PnDgADt37uTqq6/Gzc2NDz/8kNOnT1/QABwOB+Xl5ZSXl7Nv3z7uv/9+ampqGD9+PNDyjnNJSQl5eXkcPHiQp59+us2Mcl1dHXPmzGHr1q0cPnyYf/7zn+zYsYOhQ4ee11dXYuHLZLq2tpbnnnuO6upq51ibmtq+OZSfn09jYyN33nnnBT0HERERERER+WZYrdZ2N4M+cOAAQUFBF9xulxPqJUuWcPPNN/PDH/6Q999/n+3bt7Nr1y6uv/56tm3b1uUBrF+/nuDgYIKDg7npppvYsWMHq1evZvTo0QBMmDCB1NRU5syZw7BhwygsLCQrK8v5e4vFwokTJ5g+fToRERFMmTKFsWPHtrvpV1diAd577z3+9a9/sXfvXsLCwpzjDA4OPu+95+eee47k5OQ2JbpERERERER6mmG45ujNJkyYwMMPP+zcC8xkMlFSUsKCBQuYNGnSBbdrMoyu3XpwcDDPP/88Y8eOdZ5raGjgv//7v3n66afblIOSzqmursbf35/RTMTN1PkSXiIiIuJivWyX7xMnfWmosl7ELt8iAtBoNLCVtc6SuZeK1rwiNCcDs3f7r6p+U5pPn+HTux/rtc+sqqqKyZMns3PnTk6dOkX//v0pLy/n5ptv5q9//Ss+Pj4X1G6Xy2bt3buXPn36tDnn7u7O448/zrhx4y5oECIiIiIiIiLfFH9/fzZt2sQ//vEP9uzZQ01NDTfccANjxoy5qHa7nFD36dOnw/pdYWFhFzUYERERERERuTjOjcJ6uM9LwX/8x3/wH//xH93WXpcT6j179jBmzBj8/f05dOgQs2bN4sorr+S1116jpKSEF154odsG1x1yc3P5r//6L2edMREREREREbm8PPzww195/cEHH7ygdru8KVlqamq31e+aMWMGJpPJeQQGBpKQkMCePXu6OqwOTZ06lQMHDlzQbz///HPuv/9+hgwZgpeXF9dccw0PPPAAVVVV58Xm5uZy/fXX4+npSd++fbnvvvsudugiIiIiIiJd11rGqqePXmzNmjVtjldeeYVf//rXPPHEE7z++usX3G6XZ6h37tzJH//4x/POX2j9roSEBGcd6PLycjIzMxk3bhwlJSVdbqs9Xl5eeHl5XdBvjx49ytGjR/ntb39LVFQUhw8f5uc//zlHjx7l1Vdfdcb97ne/44knnuDxxx/npptuora2lkOHDnXL+EVEREREROTi7Nq167xz1dXVzJgxg9tvv/2C2+3yDHV31++yWq3Y7XbsdjvDhg0jPT2d0tJSjh075oxZsGABEREReHt7M2jQILKyspzbnQPs3r2b2NhYbDYbfn5+REdHs3PnTqBl5vjsUlZfFXuua6+9lr/85S+MHz+ewYMHc+utt/LYY4/x5ptv0tjYCEBlZSWZmZm88MIL3HHHHQwePJjrr7+eCRMmdPlZiIiIiIiIXCyVzeocPz8/Fi1a1KYsc1d1eYa6tX7XK6+8AnRf/S6AmpoaVq1aRVhYGIGBgc7zNpuN3Nxc+vfvz969e5k1axY2m4358+cDkJKSwvDhw1m+fDkWi4WioiLc3dsvP9WV2Pa0bgPv5tby6DZt2kRzczP//ve/GTp0KKdOneKWW27hiSeeYMCAAe224XA42pQXa+8PFCIiIiIiIvLNqqqqaveV3s7qckL9xBNPMHnyZPr27UtdXR2jRo1y1u967LHHujyAgoICfH19AaitrSU4OJiCggLM5i8nzzMzM52fQ0JCmDdvHnl5ec6EuqSkhLS0NCIjIwEIDw/vsL+uxJ7r+PHjPPLII8yePdt57pNPPqG5uZlf/epXPPXUU/j7+5OZmckPf/hD9uzZg4eHx3ntLF68mEWLFnW6XxEREfkGmC2YLJaWGtJWK3i4Y/K0Ynhaafa20uTjTqOvOw2+Zup9zdS31o8OaKYpoBHvK+roH1BNiO/nhHodZ6C1pX50P0sNgRYDf7PHefWjTzY3crzJnUONgXzk6MeBWjsfnuzLoeNX8uFH/XGrcsO9yoTHKfCo/qJ+9Kkm3E611I82nz4Dp+swzpzBOOOgub7hi/rRJ/HjJJ2p/Kpq0yJyOXr66afbfDcMg7KyMl588UXGjh17we12OaHu7vpdsbGxLF++HGhZPv3ss88yduxYtm/fzsCBAwHIz8/n6aef5uDBg9TU1NDY2NimWPjcuXOZOXMmL774ImPGjOE///M/GTx4cLv9dSX2bNXV1SQlJREVFUV2drbzfHNzMw0NDTz99NPExcUB8PLLL2O323nrrbeIj48/r62FCxcyd+7cNm13NJstIiIiIiLSJcYXR0/32Ys9+eSTbb6bzWaCgoK46667WLhw4QW32+WEulV31e/y8fFpU7965cqV+Pv7s2LFCh599FG2bdtGSkoKixYtIj4+Hn9/f/Ly8njiiSecv8nOzuaOO+5g3bp1/O1vf+Ohhx4iLy+v3ZfLuxLb6tSpUyQkJGCz2VizZk2bJeLBwcEAREVFOc8FBQXRp0+fDjdWs1qtWK3Wzj8kERERERERuWCffvrpN9JupxLqc6fHv8oDDzxwwYOBlneyzWYzdXV1/5+9+4+rur77P/445wBHfhxA8cfBpaAeiLF+4JTlcmvQXKKoFbpcYxFtWm2jJkwUAwpXTa/V1q5m6dKCltsXs+ZquMvLpfO6tslSU5Rcy0tLDyaYonDkh4df5/sH4yQCxkF+mc/77fa+dc7n8/p83u/zue1We/F+f15vAHbu3ElYWBjZ2dnumGPHjnW4LjIyksjISNLT07n77rvJz8/vMkn2JNbhcDB9+nTMZjNvvvlmu63CAKZOnQrA+++/zzXXXAO0brd1+vRp9wy7iIiIiIhIf3G5DLj6eRur/u5vsOhWQn3x9PipU6eoq6tzV8+uqqrCz8+PkSNHepxQO51O93ZbZ8+eZdWqVdTU1DB79myg9R1nu91OYWEhsbGxbN68mU2bNrmvr6+vJzMzk3nz5jFu3DiOHz/O7t27Oy2Q5kkstCbTt912G3V1daxfvx6Hw+EuIDZixAhMJhORkZHcfvvt/OhHP+KFF14gMDCQZcuWERUVRXx8vEfPQkRERERERHpHUlJSt2N///vf96iPbiXUF06P/+53v+P555/nxRdf5NprrwVaZ2cXLlzIAw884PEAtmzZ4l42bbFYiIqKYuPGjcTFxQGtVcXT09NJS0vD6XSSmJhIbm6u+z1mk8lEZWUlKSkpnDx5kuHDh5OUlNRp0S9PYgH27t3L22+/DdBuWXrbMwkPDwfgN7/5Denp6SQmJmI0Gvna177Gli1bPKoeLiIiIiIiIr0nKCioz/swuFye7Rg2YcIEXnvtNSZOnNju+DvvvMO8efP6bG36Z5nD4SAoKIg4bsfLoCRcRESkXwyiKt8fVwfgPDvkMqp8i0hvanI1soM33FvmXina8oqxLzyK0XfIp1/Qi1rqz2O//ydX3DO7XMZPD2mvvLycpqamDsebm5s5efJkrwxKREREREREZLDzuMr317/+dR544AHWrVvHF7/4RaB1dvr73/9+j7fOEhERERERkd6homSde+2113j11Vex2+00NDS0O7d3794e3dPjGeqXXnoJq9XK5MmT3ds/felLX2LUqFGsW7euR4PoSwUFBe7iaSIiIiIiInL1efbZZ7nvvvsYNWoU+/bt40tf+hIhISF88MEHzJgxo8f39TihHjFiBH/605/417/+xcaNG9m4cSPvvfcef/rTnxg5cqRH90pNTcVgMLhbSEgICQkJHDhwwNNhdWn+/PkcOnSoR9eeOXOGhx56iGuvvRZfX1/Gjh3Lww8/THV1dbu4C39DWyssLOyN4YuIiIiIiHjGNUBtEHv++ed54YUX+NWvfoWPjw9Llizhz3/+c6f5nSc8XvLdpm0v58uVkJBAfn4+ABUVFeTk5DBr1izsdvtl3xvA19cXX1/fHl174sQJTpw4wdNPP010dDTHjh3jwQcf5MSJE7z22mvtYvPz80lISHB/16y4iIiIiIjI4GC327n55puB1hzx3LlzANxzzz1MmTKFVatW9ei+Hs9QNzc38+KLL/Ltb3+badOmceutt7ZrnjKbzVitVqxWKzExMWRlZVFWVsapU6fcMUuXLiUyMhI/Pz/Gjx9Pbm4ujY2N7vP79+8nPj4ei8VCYGAgkyZNYs+ePUDHJd+Xir3Yddddx+uvv87s2bOZMGECt956K08++SR//OMfOxRmCw4Odv8Oq9XKkCH9W1VPREREREREOme1Wjlz5gwAY8eO5R//+AfQuh2yhxtftePxDPWPfvQjCgoKSExM5LrrrsNg6L2Xz2tqali/fj02m42QkBD3cYvFQkFBAaNHj6a0tJSFCxdisVhYsmQJAMnJyUycOJHVq1djMpkoKSnpcg9oT2I701YG3sur/aP74Q9/yIIFCxg/fjwPPvgg9913X5fPxul04nQ63d8dDke3+xcREREREbk0w79bf/c5eN166628+eabTJw4kfvuu4/09HRee+019uzZQ1JSUo/v63FCXVhYyKuvvsrMmTN73OmFioqKCAgIAKC2tpbQ0FCKioowGj+ZPM/JyXF/Dg8PZ/HixRQWFroTarvdTmZmJlFRUQBERER02Z8nsRc7ffo0jz/+OPfff3+74z/5yU+49dZb8fPzY+vWrfzgBz+gpqaGhx9+uNP7rFixguXLl3e7XxEREbnAhftHe3mB7xAMPj64fM24fH1o9vehKcCbBouJRv9/7x9tgYYgF03Dmhgy9DzWYAdjAs4yzq+SceZTjPGuxGqqYZix+d/7R3thMrT+f5G6lgZqXI2cajZytGkoHzhH8V5dKP/nGMFHZ4M4/OEoTFVeeDuMrftHV7ftH92C97lGTDVODLXnMdTW4zrvxOV04mpowNXUBNTiy4eEdeNnt/y7iYhI9xUVFTFz5kxeeOEFWlpa/y36wx/+kJCQEHbu3MmcOXN44IEHenx/jxNqHx8fbDZbjzu8WHx8PKtXrwbg7NmzPP/888yYMYNdu3YRFtb6n5cNGzbw7LPPcuTIEWpqamhqamq3WXhGRgYLFizglVdeYdq0aXzzm99kwoQJnfbnSeyFHA4HiYmJREdHk5eX1+5cbm6u+/PEiROpra3lqaee6jKhXrZsGRkZGe3uPWbMmE8dg4iIiIiIyKcaiCJhg7Qo2R133MGoUaNITU3lu9/9rjv3+9a3vsW3vvWty76/x+9Q//jHP+Y///M/L2ud+YX8/f2x2WzYbDZiY2NZt24dtbW1rF27FoDi4mKSk5OZOXMmRUVF7Nu3j+zs7Hb7huXl5XHw4EESExPZvn070dHRbNq0qdP+PIltc+7cORISErBYLGzatOlTl4jfdNNNHD9+vN2y7guZzWYCAwPbNREREREREeldH374IQ888ACFhYVERkbyta99jVdeeYX6+vpeub/HCfXf/vY3fvvb3zJhwgRmz55NUlJSu3a5DAYDRqPR/QN37txJWFgY2dnZTJ48mYiICI4dO9bhusjISNLT09m6dStJSUnuyuGd8STW4XBw22234ePjw5tvvtmtYmMlJSUMHToUs9ncjV8sIiIiIiIifWHMmDE8+uijHDlyhLfeeovw8HC+//3vExoayoMPPsju3bsv6/4eL/kODg7mzjvvvKxOL+R0OqmoqABal3yvWrWKmpoaZs+eDbS+42y32yksLCQ2NpbNmze3m1Gur68nMzOTefPmMW7cOI4fP87u3buZO3duh748iYVPkum6ujrWr1+Pw+FwFxAbMWIEJpOJP/7xj5w8eZIpU6YwZMgQ/vznP/PTn/6UxYsX99ozEhERERER6TYt+e5UfHw88fHxrFq1isLCQgoKCpgyZQrXXXcd+/fv79E9PU6oLzWb2xNbtmwhNDQUaK3mHRUVxcaNG4mLiwNgzpw5pKenk5aWhtPpJDExkdzcXPd7zCaTicrKSlJSUjh58iTDhw8nKSmp06JfnsQC7N27l7fffhugw3vjH374IeHh4Xh7e/Pcc8+Rnp6Oy+XCZrPxi1/8goULF/bSExIREREREZHeYrFY+PrXv86xY8f417/+xT//+c8e38vg6q2XoaXHHA4HQUFBxHE7Xobub+ElIiJyVRpkVb7rq4ZcRpVvERmMmlyN7OAN95a5V4q2vGLMc8sx+n76q6q9qaX+PGU/fGxQP7P6+no2btzISy+9xF//+lfGjRvHfffdR2pqKp/73Od6dM9uz1BPnDixW3tO7927t0cDEREREREREelt//jHP3jppZd49dVXaWhoICkpibfeeov4+PjLvne3E+o77rjjsjsTERERERGRvuVytbb+7nMwio6O5v3332fixImsWLGCb3/72wQFBfXa/budUD/22GO91ml/KigoYNGiRVRVVQ30UERERERERKQfTZs2jf/3//4fN954Y5/c3+Nts3pTamoqBoPB3UJCQkhISODAgQO91sf8+fM5dOhQj649c+YMDz30ENdeey2+vr6MHTuWhx9+mOrq6k7jKysrueaaazAYDErgRUREREREBtizzz7bZ8k0DHBCDZCQkEB5eTnl5eVs27YNLy8vZs2a1Wv39/X1ZeTIkT269sSJE5w4cYKnn36ad999l4KCArZs2cL3vve9TuO/973vccMNN1zOcEVERERERC6Pa4DaVWjAE2qz2YzVasVqtRITE0NWVhZlZWWcOnXKHbN06VIiIyPx8/Nj/Pjx5Obm0tjY6D6/f/9+4uPjsVgsBAYGMmnSJPbs2QO0LvkODg7uVuzFrrvuOl5//XVmz57NhAkTuPXWW3nyySf54x//SNNFlTlXr15NVVWV9p8WERERERG5Sni8D3VfqqmpYf369dhsNkJCQtzHLRYLBQUFjB49mtLSUhYuXIjFYmHJkiUAJCcnM3HiRFavXo3JZKKkpARv7863n/IktjNtZeC9vD55dP/85z/5yU9+wttvv80HH3zwqfdwOp04nU73d4fD0e3+RURERERELsllaG393edVaMAT6qKiIgICAgCora0lNDSUoqIijMZPJs9zcnLcn8PDw1m8eDGFhYXuhNput5OZmUlUVBQAERERXfbnSezFTp8+zeOPP87999/vPuZ0Orn77rt56qmnGDt2bLcS6hUrVrB8+fJu9ysiIvKZYDC07h/t5YXBxwd8vDEMGXLB/tFmmv28aLSYaAgw0mAx0BBkoCHIRWNQM97DzjMiuIYwy1nG+J1lnPkjwn1OM9qrmmHGJoKNXvgafNz7RztdjZxraeBUs4ETzRaONIzin3WjOeQYSVlVMMc+Gs7fq6LxrjbiUw0+51z4OFz4nGvG+1wTXuecGOqcGOrO46q/YA/p5mZwncdIGWMo+9Sf3dLXz1VERAZMjxLqbdu2sW3bNj7++GNaWtr/Z+Kll17y6F7x8fGsXr0agLNnz/L8888zY8YMdu3aRVhYGAAbNmzg2Wef5ciRI9TU1NDU1NRus/CMjAwWLFjAK6+8wrRp0/jmN7/JhAkTOu3Pk9gLORwOEhMTiY6OJi8vz3182bJlfP7zn+c73/lOt3/zsmXLyMjIaHfvMWPGdPt6ERERERER8Uxv5rFtPH6Hevny5dx2221s27aN06dPc/bs2XbNU/7+/thsNmw2G7Gxsaxbt47a2lrWrl0LQHFxMcnJycycOZOioiL27dtHdnY2DQ0N7nvk5eVx8OBBEhMT2b59O9HR0WzatKnT/jyJbXPu3DkSEhKwWCxs2rSp3RLx7du3s3HjRry8vPDy8uLrX/86AMOHD+9yqzGz2UxgYGC7JiIiIiIi0hsMroFpg1lv57FtPJ6hXrNmDQUFBdxzzz097vRSDAYDRqOR+vp6AHbu3ElYWBjZ2dnumGPHjnW4LjIyksjISNLT07n77rvJz8/nzjvv7LQPT2IdDgfTp0/HbDbz5ptvMmTIkHbnX3/9dfdYAXbv3s13v/td/vrXv3Zr5ltERERERET6Vl/lsR4n1A0NDdx88829NgCn00lFRQXQuuR71apV1NTUMHv2bKD1HWe73U5hYSGxsbFs3ry53YxyfX09mZmZzJs3j3HjxnH8+HF2797N3LlzO/TlSSy0JtO33XYbdXV1rF+/HofD4S4gNmLECEwmU4ek+fTp0wB8/vOfb1ddXEREREREpF8MxDZWg3yGurfz2DYeL/lesGABv/vd73ptAFu2bCE0NJTQ0FBuuukmdu/ezcaNG4mLiwNgzpw5pKenk5aWRkxMDDt37iQ3N9d9vclkorKykpSUFCIjI7nrrruYMWNGp0W/PIkF2Lt3L2+//TalpaXYbDb3OENDQykr+/QiJCIiIiIiItK15557jvDwcIYMGcJNN93Erl27unVdYWEhBoOBO+64o1vxvZ3HtjG4XC6P/pbwox/9iN/85jfccMMN3HDDDR22nPrFL37RqwO8GjgcDoKCgojjdrwM3d/CS0RE5IrS61W+T11Wle/aal8MVd49rPI9yKdiROSyNLka2cEb7i1zrxRtecWYZx7H6Dvk0y/oRS315ylLz/XomW3YsIGUlBTWrFnDTTfdxC9/+Us2btzI+++/z8iRI7u87ujRo3zlK19h/PjxDBs2jD/84Q+f2ldf5bEeL/k+cOAAMTExALz77rvtzhkMV+feYyIiIiIiIuKZX/ziFyxcuJD77rsPaH3PefPmzbz00ktkZWV1ek1zczPJycksX76cv/71r1RVVXWrr77KYz1OqP/yl7/0uDMRERERERH57GqrOdXGbDZjNps7xDU0NPDOO++wbNky9zGj0ci0adMoLi7u8v4/+clPGDlyJN/73vf461//2u1x9VUe6/E71Bc6fvw4x48f762x9ImCggIVBxMRERERkauHa4AaMGbMGIKCgtxtxYoVnQ7x9OnTNDc3M2rUqHbHR40a5S5afbG//e1vvPjii+4tlnuqN/NYjxPqlpYWfvKTnxAUFERYWBhhYWEEBwfz+OOPd9gc+9OkpqZiMBjcLSQkhISEBA4cOODpsLo0f/58Dh061KNrz5w5w0MPPcS1116Lr68vY8eO5eGHH6a6utodU1lZSUJCAqNHj8ZsNjNmzBjS0tI6/GVGRERERETks66srIzq6mp3u3AG+nKcO3eOe+65h7Vr1zJ8+HCPr+/NPPZCHi/5zs7O5sUXX2TlypVMnToVaP1LQV5eHufPn+fJJ5/06H4JCQnk5+cDUFFRQU5ODrNmzcJut3s6tE75+vri6+vbo2tPnDjBiRMnePrpp4mOjubYsWM8+OCDnDhxgtdeew1oXZZw++2388QTTzBixAgOHz7MD3/4Q86cOdMnVeREREREREQuaQC3zQoMDOxWUbLhw4djMpk4efJku+MnT57EarV2iD9y5AhHjx51b68MuBNhLy8v3n///Q5bGl+ot/PYNh7PUL/88susW7eO73//++4KaT/4wQ9Yu3YtBQUFHg/AbDZjtVqxWq3ExMSQlZVFWVkZp06dcscsXbqUyMhI/Pz8GD9+PLm5uTQ2NrrP79+/n/j4eCwWC4GBgUyaNIk9e/YAHZd8Xyr2Ytdddx2vv/46s2fPZsKECdx66608+eST/PGPf6SpqQmAoUOH8v3vf5/JkycTFhbG17/+dX7wgx94tJ5fRERERETkauLj48OkSZPYtm2b+1hLSwvbtm3jy1/+cof4qKgoSktLKSkpcbc5c+YQHx9PSUkJY8aMuWR/vZ3HtvF4hvrMmTNERUV1OB4VFcWZM2d6PBCAmpoa1q9fj81mIyQkxH3cYrFQUFDA6NGjKS0tZeHChVgsFpYsWQJAcnIyEydOZPXq1ZhMJkpKSjqUQW/jSWxn2srAe3l1/uhOnDjB73//e772ta91eQ+n04nT6XR/1/JwERERERG52mRkZHDvvfcyefJkvvSlL/HLX/6S2tpad9XvlJQUPve5z7FixQqGDBnCdddd1+76tonTi493pq/yWI8T6htvvJFVq1bx7LPPtju+atUqbrzxRo8HUFRUREBAAAC1tbWEhoZSVFSE0fjJ5HlOTo77c3h4OIsXL6awsNCdUNvtdjIzM90PKCIiosv+PIm92OnTp3n88ce5//77O5y7++67eeONN6ivr2f27NmsW7euy/usWLGC5cuXd7tfERGRAXXB/tF4e2P49/7RmH1o8RtCi583zf7eNAR60ehvxBlooNHy7/2jg1swDnMyLKiWayxVjPOvZLzvR4zxruRzXlWMMDUQZDThZ/DB22ACoNHVTE2LkzMtLXzUHMAHDSM5VG/lXcdojlcH8Y8j4/hHdWTr/tEOAz7Vrn/vId2Cd00TXjUNGM+d/2T/6PrzuBoacTU1gqsJOMFoTnzqz+75G3UiIgNsAJd8e2L+/PmcOnWKRx99lIqKCmJiYtiyZYu7UJndbm+XF16O3s5j23icUP/sZz8jMTGRt956yz0VX1xcTFlZGX/60588HkB8fDyrV68G4OzZszz//PPMmDGDXbt2ERYWBrRu+P3ss89y5MgRampqaGpqarcuPyMjgwULFvDKK68wbdo0vvnNb3a5ft6T2As5HA4SExOJjo4mLy+vw/lnnnmGxx57jEOHDrFs2TIyMjJ4/vnnO71X2/kL7/1pSxREREREREQ+a9LS0khLS+v03I4dOy55rSdLtXs7j23jcbr/ta99jUOHDnHnnXdSVVVFVVUVSUlJvP/++3z1q1/1eAD+/v7YbDZsNhuxsbGsW7eO2tpadyn04uJikpOTmTlzJkVFRezbt4/s7GwaGhrc98jLy+PgwYMkJiayfft2oqOj2bRpU6f9eRLb5ty5cyQkJGCxWNi0aVOnS8StVitRUVHMmTOHX//616xevZry8vJO72c2m90v63f3pX0REREREZFucRkGpg1ivZ3HtvF4hhpg9OjRPa6C9mkMBgNGo5H6+noAdu7cSVhYGNnZ2e6YY8eOdbguMjKSyMhI0tPTufvuu8nPz+fOO+/stA9PYh0OB9OnT8dsNvPmm28yZMiQT/0NbdXmLnxPWkRERERERAZOX+Sx3UqoDxw4wHXXXYfRaPzUPaJvuOEGjwbgdDrdG3efPXuWVatWUVNT4y6HHhERgd1up7CwkNjYWDZv3txuRrm+vp7MzEzmzZvHuHHjOH78OLt372bu3Lkd+vIkFlqT6dtuu426ujrWr1+Pw+FwFxAbMWIEJpOJP/3pT5w8eZLY2FgCAgI4ePAgmZmZTJ06lfDwcI+ehYiIiIiIyOUyuFpbf/c52PRlHtumWwl1TEwMFRUVjBw5kpiYGAwGAy5XxydmMBhobm72aABbtmwhNDQUaK3mHRUVxcaNG4mLiwNgzpw5pKenk5aWhtPpJDExkdzcXPd7zCaTicrKSlJSUjh58iTDhw8nKSmp06JfnsQC7N27l7fffhsAm83W7tyHH35IeHg4vr6+rF27lvT0dJxOJ2PGjCEpKYmsrCyPnoOIiIiIiIj0nr7MY93Xujq740WOHTvG2LFjMRgMnS63vlBbITHpPofDQVBQEHHcjpeh+1t4iYiI9Iter/J96rKqfFdV+UO1dw+rfA/CKRQRGXSaXI3s4A33lrlXira8YuzPnsDo++mvqvamlvrz2JfkDKpn1h95bLdmqC+8+bFjx7j55ps77MPc1NTkft9ZREREREREBsgVsm1WX+uPPNbjKt/x8fGdbnxdXV1NfHx8jwYhIiIiIiIi0lf6Ko/1OKF2uVwYDB1LoldWVuLv79/jgfSVgoICgoODB3oYIiIiIiIiMkD6Ko/t9rZZSUlJQOsL26mpqZjNZve55uZmDhw4wM033+xR56mpqbz88svu78OGDSM2Npaf/exnPa6ydrH58+czc+bMHl175swZHnvsMbZu3YrdbmfEiBHccccdPP744wQFBQGwf/9+Vq5cyd/+9jdOnz5NeHg4Dz74ID/60Y96ZfwiIiIiIiLSM32Rx16o2wl1WwLpcrmwWCz4+vq6z/n4+DBlyhQWLlzo8QASEhLIz88HoKKigpycHGbNmoXdbvf4Xp3x9fVtN1ZPnDhxghMnTvD0008THR3NsWPHePDBBzlx4gSvvfYaAO+88w4jR45k/fr1jBkzhp07d3L//fdjMplIS0vrld8gIiIiIiIinuurPLZNtxPqtqQ3PDyczMxM/Pz8etzphcxmM1arFQCr1UpWVhZf/epXOXXqFCNGjABg6dKlbNq0iePHj2O1WklOTubRRx/F27u1Ivb+/ftZtGgRe/bswWAwEBERwa9//WsmT55MQUEBixYtoqqq6lNjL3bdddfx+uuvu79PmDCBJ598ku985zs0NTXh5eXFd7/73XbXjB8/nuLiYn7/+98roRYRERERkX5nYAD2oe7f7rqtr/LYNt1OqNukpKTw0UcfERER0e74//3f/+Ht7U14eHiPB1NTU8P69eux2WyEhIS4j1ssFgoKChg9ejSlpaUsXLgQi8XCkiVLAEhOTmbixImsXr0ak8lESUmJO9m+mCexnWkrA39xdbiLY4YNG9bleafTidPpdH93OBzd7l9EREREREQ801d5rMcJdWpqKt/97nc7DOTtt99m3bp17Nixw6P7FRUVERAQAEBtbS2hoaEUFRVhNH5SLy0nJ8f9OTw8nMWLF1NYWOhOqO12O5mZmURFRQF0GNuFPIm92OnTp3n88ce5//77u4zZuXMnGzZsYPPmzV3GrFixguXLl3e7XxERkR759/7R/HsPacMQMwZvb/AdgsvXTIu/mWY/LxoDvHAGmmj0N9AQaKAxEBqCWyDESXBwLaGWc9gspxhr/pjx5o+xmqoZZaon2GgkwGhut390nauB083NnGr25UjjSA6dt/LeOStHq4dxoOwa9lWPw7vKhPc5Az7VYHa04HOuBR9HE141jRhrnRhq63HVncd1/jyuhgZcjU3Q0gxUMIIKRnzKz3YBzX39bEVEBjOXobX1d5+DWG/nsW08rvK9b98+pk6d2uH4lClTKCkp8XgA8fHxlJSUUFJSwq5du5g+fTozZsxot/H2hg0bmDp1KlarlYCAAHJyctq9Y52RkcGCBQuYNm0aK1eu5MiRI13250nshRwOB4mJiURHR5OXl9dpzLvvvsvtt9/OY489xm233dblvZYtW0Z1dbW7lZWVdWsMIiIiIiIi4rnezmPbeJxQGwwGzp071+F4dXU1zc2e/z3Y398fm82GzWYjNjaWdevWUVtby9q1awEoLi4mOTmZmTNnUlRUxL59+8jOzqahocF9j7y8PA4ePEhiYiLbt28nOjqaTZs2ddqfJ7Ftzp07R0JCAhaLhU2bNnW6RPyf//wnX//617n//vvbzah3xmw2ExgY2K6JiIiIiIhI3+jtPLaNxwn1LbfcwooVK9p12tzczIoVK/jKV77S44G0MRgMGI1G6uvrgdYl1GFhYWRnZzN58mQiIiLazV63iYyMJD09na1bt5KUlOR++bwznsQ6HA5uu+02fHx8ePPNNxkyZEiHmIMHDxIfH8+9997Lk08+2YNfLSIiIiIi0ktcA9QGsb7KYz1+h/o//uM/uOWWW7j22mv56le/CsBf//pXHA4H27dv93gATqeTiooKAM6ePcuqVauoqalh9uzZQOs7zna7ncLCQmJjY9m8eXO7GeX6+noyMzOZN28e48aN4/jx4+zevZu5c+d26MuTWPgkma6rq2P9+vU4HA53AbERI0ZgMpl49913ufXWW5k+fToZGRnu32IymdxVykVERERERGTg9HYe28bjhDo6OpoDBw6watUq9u/fj6+vLykpKaSlpV2ysnVXtmzZQmhoKNBazTsqKoqNGzcSFxcHwJw5c0hPTyctLQ2n00liYiK5ubnu95hNJhOVlZWkpKRw8uRJhg8fTlJSUqdFvzyJBdi7dy9vv/02ADabrd25Dz/8kPDwcF577TVOnTrF+vXrWb9+vft8WFgYR48e9fh5iIiIiIiIXJaBmDEe5DPUvZ3HtjG4XK5B/tM/+xwOB0FBQcRxO16G7m/hJSIickm9XuX7zGVV+T5TFUBztfdlVPkWEekfTa5GdvCGe8vcK0VbXhH20ycxdvKqal9qOX+eY49kX3HP7HJ5PEMNUFVVxa5du/j4449paWlpdy4lJaVXBiYiIiIiIiKeM7haW3/3Odj1RR7rcUL9xz/+keTkZGpqaggMDMRg+GS/MYPBoIRaREREREREBpW+ymM9rvL94x//mO9+97vU1NRQVVXF2bNn3e3MmTM9GkRfKigoIDg4eKCHISIiIiIiIgOkr/JYjxPqjz76iIcffhg/P78ed9omNTUVg8HgbiEhISQkJHDgwIHLvneb+fPnc+jQoR5de+bMGR566CGuvfZafH19GTt2LA8//DDV1dXt4h5++GEmTZqE2WwmJiamF0YtIiIiIiLSQ9o2q4PezGMv5HFCPX36dPbs2dNrA0hISKC8vJzy8nK2bduGl5cXs2bN6rX7+/r6MnLkyB5de+LECU6cOMHTTz/Nu+++S0FBAVu2bOF73/teh9jvfve7zJ8//3KHKyIiIiIiIr2st/PYNh6/Q52YmEhmZib//Oc/uf766/H2bl+Ves6cOR7dz2w2Y7VaAbBarWRlZfHVr36VU6dOufdxXrp0KZs2beL48eNYrVaSk5N59NFH3X3v37+fRYsWsWfPHgwGAxEREfz6179m8uTJFBQUsGjRIqqqqj419mLXXXcdr7/+uvv7hAkTePLJJ/nOd75DU1MTXl6tj+/ZZ58F4NSpU706uy4iIiIiIuIxbZvVQW/nsW08TqgXLlwIwE9+8pMO5wwGA83NPd/WoqamhvXr12Oz2QgJCXEft1gsFBQUMHr0aEpLS1m4cCEWi4UlS5YAkJyczMSJE1m9ejUmk4mSkpIOD6iNJ7GdaSsD35ZM94TT6cTpdLq/OxyOHt9LRERERERELq2v8liPs8KLy4tfrqKiIgICAgCora0lNDSUoqIijMZPVqPn5OS4P4eHh7N48WIKCwvdCbXdbiczM5OoqCgAIiIiuuzPk9iLnT59mscff5z777+/+z+wEytWrGD58uWXdQ8REfkMMxjAYMRgMmHw9sLg4w1mMwY/X1xDfGjx86HZ15vGQG8a/Y04A400BhhoCIZGSwvNw5qwDKtldKCDsIAzjPc9TZjPaUZ7n8VqqmWYESxGH8yG1j8oN7taqHE5OdfSzMlmH442DuewcxT7Hddw7NxQDlWM4OB7Y/CqNuFTbcC7BszVLnzOteB9rgnvmkaMNQ0Ya+pw1Z+H+tb9o1saGv+9f3QlQ6lk6Kf8bBeg3aZFRKQv9HYe28bjd6h7W3x8PCUlJZSUlLBr1y6mT5/OjBkzOHbsmDtmw4YNTJ06FavVSkBAADk5Odjtdvf5jIwMFixYwLRp01i5ciVHjhzpsj9PYi/kcDhITEwkOjqavLy8Hv9egGXLllFdXe1uZWVll3U/ERERERGRNm37UPd3uxp5PEPd2RT5hR599FGP7ufv74/NZnN/X7duHUFBQaxdu5YnnniC4uJikpOTWb58OdOnTycoKIjCwkJ+/vOfu6/Jy8vj29/+Nps3b+a//uu/eOyxxygsLOTOO+/s0J8nsW3OnTtHQkICFouFTZs2ebREvDNmsxmz2XxZ9xAREREREZHu6e08to3HCfWmTZvafW9sbOTDDz/Ey8uLCRMm9HggbQwGA0ajkfr6egB27txJWFgY2dnZ7pgLZ6/bREZGEhkZSXp6OnfffTf5+fldJsmexDocDqZPn47ZbObNN99kyJAhl/X7RERERERE+pTL0Nr6u89BrK/yWI8T6n379nU45nA4SE1NveQsb1ecTicVFRUAnD17llWrVlFTU8Ps2bOB1nec7XY7hYWFxMbGsnnz5nYPo76+nszMTObNm8e4ceM4fvw4u3fvZu7cuR368iS27Xfddttt1NXVsX79ehwOh7uA2IgRIzCZTAAcPnyYmpoaKioqqK+vp6SkBIDo6Gh8fHw8fiYiIiIiIiLSe3o7j23T81LVFwgMDGT58uXMnj2be+65x6Nrt2zZQmhoKNBazTsqKoqNGzcSFxcHtJYvT09PJy0tDafTSWJiIrm5ue73mE0mE5WVlaSkpHDy5EmGDx9OUlJSp0W/PIkF2Lt3L2+//TZAu2XpAB9++CHh4eEALFiwgP/5n/9xn5s4cWKHGBERERERkX6hbbO65XLy2Da9klAD7gJbnigoKKCgoOBT4372s5/xs5/9rN2xRYsWAeDj48P/+3//r8trU1NTSU1N7VbsxeLi4nC5Pv1/GTt27Oj2PUVERERERGRw6EkeeyGPE+pnn3223XeXy0V5eTmvvPIKM2bM6PFARERERERERPpCX+WxHifUzzzzTLvvRqORESNGcO+997Js2bIeD0REREREREQu30BsYzXYt83qqzzW44T6ww8/7HFnA6GgoIBFixZRVVU10EMRERERERGRAdBXeayxu4Fjx46lsrLS/X3VqlXuitc9lZqaisFgcLeQkBASEhI4cODAZd33QvPnz+fQoUM9uvbMmTM89NBDXHvttfj6+jJ27FgefvjhDmvs7XY7iYmJ+Pn5MXLkSDIzM2lqauqN4YuIiIiIiHjGNUBtEOqLPPZC3U6ojx8/TnNzs/v7I488wunTpy97AAkJCZSXl1NeXs62bdvw8vJi1qxZl33fNr6+vowcObJH1544cYITJ07w9NNP8+6771JQUMCWLVv43ve+545pbm4mMTGRhoYGdu7cycsvv0xBQcFl78ctIiIiIiIil6ev8tg23U6oL9ad6tfdYTabsVqtWK1WYmJiyMrKoqysjFOnTrljli5dSmRkJH5+fowfP57c3FwaGxvd5/fv3098fDwWi4XAwEAmTZrEnj17gNYl38HBwd2Kvdh1113H66+/zuzZs5kwYQK33norTz75JH/84x/dM9Bbt27ln//8J+vXrycmJoYZM2bw+OOP89xzz9HQ0NArz0hEREREREQuX2/lsW16bdus3lBTU8P69eux2WyEhIS4j1ssFgoKChg9ejSlpaUsXLgQi8XCkiVLAEhOTmbixImsXr0ak8lESUkJ3t7enfbhSWxnqqurCQwMxMur9dEVFxdz/fXXM2rUKHfM9OnT+f73v8/Bgwfde1JfyOl04nQ63d97c8mBiIiIiIhc5QagKNlgXfLd1zxKqNetW0dAQAAATU1NFBQUMHz48HYxDz/8sEcDKCoqct+ztraW0NBQioqKMBo/mTzPyclxfw4PD2fx4sUUFha6E2q73U5mZiZRUVEAREREdNmfJ7EXO336NI8//jj333+/+1hFRUW7ZBpwf6+oqOj0PitWrGD58uXd7ldERK4gBgMGL28M3l4YvLzAdwiGIWZcZh9cvj40Wcw0+XvR5G/CGWik0d+AMxgahrbQbGnGN6Sezw2tJjzgDKOHVDHOfIox3pVYTTWMMrVgMfrghQmTwUizqwWnq4kzLQ2cbvbmaFMIRxuG815tKIeqR3L09DDePzwaU7UXPtUGvM+BzzkX5uoWvGua8XY0Yqp1Yqw5D3X1uJwNuOrrcTU14WpqAs4SwFkCuvGzW/7dREREBpu+yGPbdDuhHjt2LGvXrnV/t1qtvPLKK+1iDAaDxwOJj49n9erVAJw9e5bnn3+eGTNmsGvXLsLCwgDYsGEDzz77LEeOHKGmpoampiYCAwPd98jIyGDBggW88sorTJs2jW9+85tMmDCh0/48ib2Qw+EgMTGR6Oho8vLyPPqNF1u2bBkZGRnt7j1mzJjLuqeIiIiIiAgwMEXCBukMdV/lsW26nVAfPXq0Rx18Gn9/f2w2m/v7unXrCAoKYu3atTzxxBMUFxeTnJzM8uXLmT59OkFBQRQWFvLzn//cfU1eXh7f/va32bx5M//1X//FY489RmFhIXfeeWeH/jyJbXPu3DkSEhKwWCxs2rSp3RJxq9XKrl272sWfPHnSfa4zZrMZs9ncvQckIiIiIiIiPdJXeWybHhcl6ysGgwGj0Uh9fT0AO3fuJCwsjOzsbCZPnkxERATHjh3rcF1kZCTp6els3bqVpKQk8vPzu+zDk1iHw8Ftt92Gj48Pb775JkOGDGl3/stf/jKlpaV8/PHH7mN//vOfCQwMJDo62tOfLyIiIiIicnm0bVa/GfCE2ul0UlFRQUVFBe+99x4PPfQQNTU1zJ49G2h9x9lut1NYWMiRI0d49tln2bRpk/v6+vp60tLS2LFjB8eOHePvf/87u3fv5vOf/3yHvjyJhU+S6draWl588UUcDod7rG2l12+77Taio6O555572L9/P//93/9NTk4OP/zhDzULLSIiIiIi8hk24FW+t2zZQmhoKNBazTsqKoqNGzcSFxcHwJw5c0hPTyctLQ2n00liYiK5ubnu95hNJhOVlZWkpKRw8uRJhg8fTlJSUqdFvzyJBdi7dy9vv/02QLtl6QAffvgh4eHhmEwmioqK+P73v8+Xv/xl/P39uffee/nJT37SS09IREREREREBiODq7c34hKPORwOgoKCiON2vAzd38JLREQGoUFU5bv8bCDOqiGXUeVbROTq1ORqZAdvuLfMvVK05RUTHvkppoteVe1rzefPc+Snj1xxz+xyDfiSbxEREREREZErkccJ9d69eyktLXV/f+ONN7jjjjt45JFHaGho6NXBiYiIiIiIiFyuvspjPU6oH3jgAQ4dOgTABx98wLe+9S38/PzYuHEjS5Ys6fFA+kpBQQHBwcEDPQwREREREREZIH2Vx3qcUB86dIiYmBgANm7cyC233MLvfvc7CgoKeP311z26V2pqKgaDwd1CQkJISEjgwIEDng6rS/Pnz3c/uJ544YUXiIuLIzAwEIPBQFVVVYeYvXv38o1vfIPg4GBCQkK4//77qampuYxRi4iIiIiISG/pzTz2Qh4n1C6Xi5aWFgDeeustZs6cCcCYMWM4ffq0xwNISEigvLyc8vJytm3bhpeXF7NmzfL4Pl3x9fVl5MiRPb6+rq6OhIQEHnnkkU7PnzhxgmnTpmGz2Xj77bfZsmULBw8eJDU1tcd9ioiIiIiI9Jj2oe6gt/PYNh4n1JMnT+aJJ57glVde4X/+539ITEwEWreRGjVqlMcDMJvNWK1WrFYrMTExZGVlUVZWxqlTp9wxS5cuJTIyEj8/P8aPH09ubi6NjY3u8/v37yc+Ph6LxUJgYCCTJk1iz549QMcl35eK7cyiRYvIyspiypQpnZ4vKirC29ub5557jmuvvZbY2FjWrFnD66+/zuHDhz1+HiIiIiIiItK7ejuPbePxPtS//OUvSU5O5g9/+APZ2dnu/Zlfe+01br755h4PBKCmpob169djs9kICQlxH7dYLBQUFDB69GhKS0tZuHAhFovFvdY9OTmZiRMnsnr1akwmEyUlJXh7d779lCex3eF0OvHx8cFo/ORvE76+vgD87W9/67B/dds1TqfT/d3hcPS4fxERERERkQsZXK2tv/sczPoqj/U4ob7hhhvaVUdr89RTT2EymTweQFFREQEBAQDU1tYSGhpKUVFRuwQ1JyfH/Tk8PJzFixdTWFjoTqjtdjuZmZlERUUBEBER0WV/nsR2x6233kpGRgZPPfUUP/rRj6itrSUrKwuA8vLyTq9ZsWIFy5cvv6x+RUSklxkMGEwmDD4+n+wf7e2Na4gPLj8zzZYhNA8x0RDkRaOvgYZAA85gAw1BLpqGNeEV0MjwoecYY6linH8l48wfMcanknCvswwzNmMxeuFr8MFkaP3vm9PVSHVLA5XNBo41DeVfzlCOnh/Oe1VWjlcFcfjDURhrvPCuNuLjAB+HC3NVCz7nWvCqacSrpgFDTT2GeieuunpcTieuhgZczc3gqseHY4R142e3/LuJiIh8lvV2Htum1/ahHjJkSI9meuPj4ykpKaGkpIRdu3Yxffp0ZsyYwbFjx9wxGzZsYOrUqVitVgICAsjJycFut7vPZ2RksGDBAqZNm8bKlSs5cuRIl/15EtsdX/jCF3j55Zf5+c9/jp+fH1arlXHjxjFq1Kh2fxS40LJly6iurna3srKyyxqDiIiIiIhIO3p/ult6mse26VZCPWzYMPeL2kOHDmXYsGFdNk/5+/tjs9mw2WzExsaybt06amtrWbt2LQDFxcUkJyczc+ZMioqK2LdvH9nZ2e32CsvLy+PgwYMkJiayfft2oqOj2bRpU6f9eRLbXd/+9repqKjgo48+orKykry8PE6dOsX48eM7jTebzQQGBrZrIiIiIiIi0nv6Mo9t060l38888wwWi8X92WAw9LjDT2MwGDAajdTX1wOwc+dOwsLCyM7OdsdcOHvdJjIyksjISNLT07n77rvJz8/nzjvv7LQPT2I90fYy+0svvcSQIUP4xje+cdn3FBEREREREc/1Rx7brYT63nvvdX/u7e2gnE4nFRUVAJw9e5ZVq1ZRU1PD7NmzgdZ3nO12O4WFhcTGxrJ58+Z2M8r19fVkZmYyb948xo0bx/Hjx9m9ezdz587t0JcnsW0qKiqoqKhwV+wuLS3FYrEwduxY918yVq1axc0330xAQAB//vOfyczMZOXKle2qi4uIiIiIiPSLgViGPQiXffdlHtvG43eo9+7d2+5l7jfeeIM77riDRx55pN0y7O7asmULoaGhhIaGctNNN7F79242btxIXFwcAHPmzCE9PZ20tDRiYmLYuXMnubm57utNJhOVlZWkpKQQGRnJXXfdxYwZMzot+uVJbJs1a9YwceJEFi5cCMAtt9zCxIkTefPNN90xu3bt4hvf+AbXX389L7zwAr/+9a95+OGHPX4WIiIiIiIi0vt6O49tY3C5XB79LSE2NpasrCzmzp3LBx98QHR0NElJSezevZvExER++ctf9ngwVyuHw0FQUBBx3I6XoecvxIuIyGXo9Srfpy6rynfdWd/LqPI9CKcJRESuIE2uRnbwBtXV1VdUvaO2vCJiyU8xmYf0a9/NzvP8388eGbTPrK/yWI9nqA8dOkRMTAwAGzdu5Gtf+xq/+93vKCgo4PXXX+/RIERERERERET6Sl/lsR4n1C6Xi5aW1h0r33rrLWbOnAnAmDFj3BXURERERERERAaLvspjPU6oJ0+ezBNPPMErr7zC//zP/5CYmAjAhx9+6K5yPZgUFBSoOJiIiIiIiFw9+nsP6itgL+q+ymM9Tqh/+ctfsnfvXtLS0sjOzsZmswHw2muvcfPNN3t0r9TUVAwGg7uFhISQkJDAgQMHPB1Wl+bPn8+hQ4d6fP0LL7xAXFwcgYGBGAwGqqqqOsQcOnSI22+/neHDhxMYGMhXvvIV/vKXv1zGqEVERERERKS39GYee6FubZt1oRtuuKFddbQ2Tz31FCaTyeMBJCQkkJ+fD7RuUZWTk8OsWbOw2+0e36szvr6++Pr69vj6uro6EhISSEhIYNmyZZ3GzJo1i4iICLZv346vry+//OUvmTVrFkeOHMFqtfa4bxEREREREU8ZXK2tv/sczHo7j23j8Qx1V4YMGYK3t+cVqs1mM1arFavVSkxMDFlZWZSVlXHq1Cl3zNKlS4mMjMTPz4/x48eTm5tLY2Oj+/z+/fuJj4/HYrEQGBjIpEmT2LNnD9BxyfelYjuzaNEisrKymDJlSqfnT58+zf/93/+RlZXFDTfcQEREBCtXrqSuro53333X4+chIiIiIiIi/aOneWwbj2eom5ubeeaZZ3j11Vex2+0d9uw6c+ZMjwdTU1PD+vXrsdlshISEuI9bLBYKCgoYPXo0paWlLFy4EIvFwpIlSwBITk5m4sSJrF69GpPJRElJSZcPxZPY7ggJCeHaa6/lN7/5DV/84hcxm838+te/ZuTIkUyaNKnTa5xOJ06n0/3d4XD0uH8REREREZF2BuKd5kE+Q91XeazHCfXy5ctZt24dP/7xj8nJySE7O5ujR4/yhz/8gUcffdTjARQVFREQEABAbW0toaGhFBUVYTR+Mnmek5Pj/hweHs7ixYspLCx0J9R2u53MzEyioqIAiIiI6LI/T2K7w2Aw8NZbb3HHHXdgsVgwGo2MHDmSLVu2MHTo0E6vWbFiBcuXL7+sfkVE5N8MBjAYMXh7te4hbfbBMGQILl8zLl8fmv3NNPl70RRgoiHASIPFQKPFQEOgi8bAFrxH1TMssJbPBVRzjV8V0X5HsXpVEe59hmBjExaDkQCjGW9D63Iwp6uRupZGzrS0UNYUyKEGK/+sG83xumA+rBrGOx+OZU+V7d/7Rxswn3HhU+PC51wzXrXNeFedx1Dn/Pf+0XW4zjtxNTTiamoEVxNwnGs4/qk/u6WPH6uIiMhnSW/nsW08XvL929/+lrVr1/LjH/8YLy8v7r77btatW8ejjz7KP/7xD48HEB8fT0lJCSUlJezatYvp06czY8YMjh075o7ZsGEDU6dOxWq1EhAQQE5OTrt3rDMyMliwYAHTpk1j5cqVHDlypMv+PIntDpfLxQ9/+ENGjhzJX//6V3bt2sUdd9zB7NmzKS8v7/SaZcuWUV1d7W5lZWWXNQYRERERERHpWm/nsW08TqgrKiq4/vrrAQgICKC6uhpoLcy1efNmjwfg7++PzWbDZrMRGxvLunXrqK2tZe3atQAUFxeTnJzMzJkzKSoqYt++fWRnZ7ebos/Ly+PgwYMkJiayfft2oqOj2bRpU6f9eRLbHdu3b6eoqIjCwkKmTp3KF7/4RZ5//nl8fX15+eWXO73GbDYTGBjYromIiIiIiPQKbZvVQW/nsW08TqivueYa98zrhAkT2Lp1KwC7d+/GbDb3eCBtDAYDRqOR+vp6AHbu3ElYWBjZ2dlMnjyZiIiIdrPXbSIjI0lPT2fr1q0kJSW5K4d3xpPYT1NXVwfQbol62/e2jcNFRERERESko+eee47w8HCGDBnCTTfdxK5du7qM/f3vf8/kyZMJDg7G39+fmJgYXnnllW7101d5rMcJ9Z133sm2bdsAeOihh8jNzSUiIoKUlBS++93vejwAp9NJRUUFFRUVvPfeezz00EPU1NQwe/ZsoPUdZ7vdTmFhIUeOHOHZZ59tN6NcX19PWloaO3bs4NixY/z9739n9+7dfP7zn+/QlyexbSoqKigpKeHw4cMAlJaWUlJS4n5p/ctf/jJDhw7l3nvvZf/+/Rw6dIjMzEw+/PBD92bhIiIiIiIi/aVt26z+bp7asGEDGRkZPPbYY+zdu5cbb7yR6dOn8/HHH3caP2zYMLKzsykuLubAgQPcd9993Hffffz3f//3p/bV23lsG4+Lkq1cudL9ef78+YwdO5bi4mIiIiLcSbAntmzZQmhoKNBazTsqKoqNGzcSFxcHwJw5c0hPTyctLQ2n00liYiK5ubnk5eUBYDKZqKysJCUlhZMnTzJ8+HCSkpI6LfrlSWybNWvWtDt/yy23AJCfn09qairDhw9ny5YtZGdnc+utt9LY2MgXvvAF3njjDW688UaPn4eIiIiIiMjV4Be/+AULFy7kvvvuA1pzr82bN/PSSy+RlZXVIb4tR2zzox/9iJdffpm//e1vTJ8+/ZJ99XYe28bgcrkG+Wr3zz6Hw0FQUBBx3I6XoedbeImIXJV6vcr3icuq8l1V5Y+ryqeHVb71n2QRkcGgydXIDt6gurr6iqp31JZXXJv+U0zmIf3ad7PzPO8/8whlZWXtnpnZbO50SXVDQwN+fn689tpr3HHHHe7j9957L1VVVbzxxhuX7M/lcrF9+3bmzJnDH/7wB77xjW/02m/xhMcz1JWVle49osvKyli7di319fXMmTOHr371q70+QBEREREREfHAAO5DPWbMmHaHH3vsMffq4gudPn2a5uZmRo0a1e74qFGj+Ne//tVlN9XV1Xzuc5/D6XRiMpl4/vnnu5VM91Ue2+2EurS0lNmzZ1NWVkZERASFhYUkJCRQW1uL0WjkmWee6fDXBREREREREbl6dDZD3ZssFgslJSXU1NSwbds2MjIyGD9+fIfl4G36Oo/tdlGyJUuWcP311/O///u/xMXFMWvWLBITE6murubs2bM88MAD7dalDxYFBQUEBwcP9DBERERERET6xwBum3Xx9sBdJdTDhw/HZDJx8uTJdsdPnjyJ1Wrt8qcZjUZsNhsxMTH8+Mc/Zt68eaxYsaLL+L7OY7udUO/evZsnn3ySqVOn8vTTT3PixAl+8IMfYDQaMRqNPPTQQ5ecmu9MamoqBoPB3UJCQkhISODAgQMe/5CuzJ8/n0OHDvX4+hdeeIG4uDgCAwMxGAxUVVW1O79jx452v+HCtnv37sscvYiIiIiIyGePj48PkyZNclfeBmhpaWHbtm18+ctf7vZ9WlpacDqdXZ7vizz2Qt1OqM+cOeP+S0FAQAD+/v4MHTrUfX7o0KGcO3fO4wEkJCRQXl5OeXk527Ztw8vLi1mzZnl8n674+voycuTIHl9fV1dHQkICjzzySKfnb775Zvf429qCBQsYN24ckydP7nG/IiIiIiIiPXGlbJuVkZHB2rVrefnll3nvvff4/ve/T21trbvqd0pKCsuWLXPHr1ixgj//+c988MEHvPfee/z85z/nlVde4Tvf+U6XffRVHtvGo32oDQbDJb/3hNlsxmq1YrVaiYmJISsri7KyMk6dOuWOWbp0KZGRkfj5+TF+/Hhyc3NpbGx0n9+/fz/x8fFYLBYCAwOZNGkSe/bsATou+b5UbGcWLVpEVlYWU6ZM6fS8j4+Pe/xWq5WQkBDeeOMN7rvvvl55PiIiIiIiIp9F8+fP5+mnn+bRRx8lJiaGkpIStmzZ4i5UZrfbKS8vd8fX1tbygx/8gC984QtMnTqV119/nfXr17NgwYJL9tMXeWwbj6p8p6amutfAnz9/ngcffBB/f3+AS06zd1dNTQ3r16/HZrO5K7BB64vnBQUFjB49mtLSUhYuXIjFYmHJkiUAJCcnM3HiRFavXo3JZKKkpARv7863n/IktifefPNNKisr3X9V6YzT6Wz3vBwOR6/1LyIiIiIicqVIS0sjLS2t03M7duxo9/2JJ57giSee8LiPvsxju51Q33vvve2+dzatnpKS4vEAioqKCAgIAFr/4hAaGkpRURFG4yeT5zk5Oe7P4eHhLF68mMLCQndCbbfbyczMJCoqCoCIiIgu+/MktidefPFFpk+fzjXXXNNlzIoVK1i+fHmv9isiciUyeHmByYTBZMLgOwS8vDD4+eLy8abFMoQWsxcNQd44g000DTHgHGrAOdRFs6+LluENhITUMC64kqE+ddj8Pma8zynGeFdiNTkJMprwM/i4949udDVT0+LkTEsLFc1+HG0cwYfOEew6G85HjkBK7GN4xzGe/6qMxbumdf9o71oX3nUuzFWNeDmcGOsbMZyrw9XQgKuuvnUP6aZGcDUBpxnOaYZ/ym9u6fOnKiIiV70B3DZrsOmrPLZNtxPq/Pz8HndyKfHx8axevRqAs2fP8vzzzzNjxgx27dpFWFgYABs2bODZZ5/lyJEj1NTU0NTU1K4Ue0ZGBgsWLOCVV15h2rRpfPOb32TChAmd9udJrKeOHz/Of//3f/Pqq69eMm7ZsmVkZGS4vzscjg77tYmIiIiIiMjl6as8to1H71D3BX9/f2w2GzabjdjYWNatW0dtbS1r164FoLi4mOTkZGbOnElRURH79u0jOzubhoYG9z3y8vI4ePAgiYmJbN++nejoaDZt2tRpf57Eeio/P5+QkBDmzJlzyTiz2dyhnLyIiIiIiEhvuFKKkn0WDHhCfTGDwYDRaKS+vh6AnTt3EhYWRnZ2NpMnTyYiIoJjx451uC4yMpL09HS2bt1KUlLSJf8S4Ulsd7lcLvLz80lJSenVd7JFRERERERkcPKoKFlfcDqdVFRUAK1LvletWkVNTQ2zZ88GWt9xttvtFBYWEhsby+bNm9vNKNfX15OZmcm8efMYN24cx48fZ/fu3cydO7dDX57EtqmoqKCiooLDhw8DUFpaisViYezYsQwbNswdt337dj788MNPrTAnIiIiIiIinw0DnlBv2bKF0NBQoLWad1RUFBs3biQuLg6AOXPmkJ6eTlpaGk6nk8TERHJzc8nLywPAZDJRWVlJSkoKJ0+eZPjw4SQlJXVa9MuT2DZr1qxpd/6WW24BWpd3p6amuo+/+OKL3Hzzze5iZyIiIiIiIgNCRcn6jcHlcl2lP33wcDgcBAUFEcfteBm0XFxErh6Dqcp3tcOfZoc3PpWmHlT51n9KRUQ+S5pcjezgDaqrq6+oekdtecXnf/hTTOYh/dp3s/M87z33yBX3zC7XgM9Qi4iIiIiISC/SDHW/GXRFyURERERERESuBJ/5hLqgoIDg4OCBHoaIiIiIiIh8xgxoQp2amorBYHC3kJAQEhISOHDgQK/1MX/+fA4dOtTj61944QXi4uIIDAzEYDBQVVXVadzmzZu56aab8PX1ZejQodxxxx097lNERERERKSnDAPUrkYDPkOdkJBAeXk55eXlbNu2DS8vL2bNmtVr9/f19WXkyJE9vr6uro6EhAQeeeSRLmNef/117rnnHu677z7279/P3//+d7797W/3uE8REREREREZ/AY8oTabzVitVqxWKzExMWRlZVFWVsapU6fcMUuXLiUyMhI/Pz/Gjx9Pbm4ujY2N7vP79+8nPj4ei8VCYGAgkyZNYs+ePUDHJd+Xiu3MokWLyMrKYsqUKZ2eb2pq4kc/+hFPPfUUDz74IJGRkURHR3PXXXdd5pMRERERERHpAdcAtavQoKryXVNTw/r167HZbISEhLiPWywWCgoKGD16NKWlpSxcuBCLxcKSJUsASE5OZuLEiaxevRqTyURJSQne3p1vP+VJbHfs3buXjz76CKPRyMSJE6moqCAmJoannnqK6667rtNrnE4nTqfT/d3hcPS4fxERERERERkYA55QFxUVERAQAEBtbS2hoaEUFRVhNH4yeZ6Tk+P+HB4ezuLFiyksLHQn1Ha7nczMTKKiogCIiIjosj9PYrvjgw8+ACAvL49f/OIXhIeH8/Of/5y4uDgOHTrEsGHDOlyzYsUKli9ffln9iogMJPf+0V5eGHx8wMcbg48PriE+uHx9aBrqS6OfF01+Rhr9jNSPMNDkD40BLlpGn8cvwEmIfx03DPuIkT7VjPR28AXzcYKNTkaZWvAzeONn9AGg2dVCjctJXUszZc1m/q/BysnGIErOXcOhsyN55+hYWuq82H7WC58qAz4OMFe34HOuBR9HE141jRhrzmOoO4+r7jw4nbQ4nbgam6ClGahgOBUM/5Tf7AKa+/rBioiI9AKDq7X1d59XowFf8h0fH09JSQklJSXs2rWL6dOnM2PGDI4dO+aO2bBhA1OnTsVqtRIQEEBOTg52u919PiMjgwULFjBt2jRWrlzJkSNHuuzPk9juaGlpASA7O5u5c+cyadIk8vPzMRgMbNy4sdNrli1bRnV1tbuVlZVd1hhERERERESk/w14Qu3v74/NZsNmsxEbG8u6deuora1l7dq1ABQXF5OcnMzMmTMpKipi3759ZGdn09DQ4L5HXl4eBw8eJDExke3btxMdHc2mTZs67c+T2O4IDQ0FIDo62n3MbDYzfvz4dkn/hcxmM4GBge2aiIiIiIiIXFkGPKG+mMFgwGg0Ul9fD8DOnTsJCwsjOzubyZMnExER0W72uk1kZCTp6els3bqVpKQk8vPzu+zDk9hPM2nSJMxmM++//777WGNjI0ePHiUsLKzH9xUREREREekRFSXrNwP+DrXT6aSiogKAs2fPsmrVKmpqapg9ezbQ+o6z3W6nsLCQ2NhYNm/e3G5Gub6+nszMTObNm8e4ceM4fvw4u3fvZu7cuR368iS2TUVFBRUVFRw+fBiA0tJSLBYLY8eOZdiwYQQGBvLggw/y2GOPMWbMGMLCwnjqqacA+OY3v9lrz0lEREREREQGlwFPqLds2eJeNm2xWIiKimLjxo3ExcUBMGfOHNLT00lLS8PpdJKYmEhubi55eXkAmEwmKisrSUlJ4eTJkwwfPpykpKROi355EttmzZo17c7fcsstAOTn55OamgrAU089hZeXF/fccw/19fXcdNNNbN++naFDh/bCExIREREREfHQVTpj3N8MLpdLj3qAORwOgoKCiON2vAw938JLRKS/9G6V73OXVeX71BkLLXVeePW4yreIiEh7Ta5GdvAG1dXVV1S9o7a84gsP/BSTz5B+7bu54TwHf/3IFffMLtege4daRERERERE5Eow4Eu+RUREREREpPdoH+r+85mfoS4oKCA4OHighyEiIiIiIiKfMQOaUKempmIwGNwtJCSEhIQEDhw40Gt9zJ8/n0OHDvX4+hdeeIG4uDgCAwMxGAxUVVV1iAkPD2/3OwwGAytXrryMUYuIiIiIiPSQts3qNwM+Q52QkEB5eTnl5eVs27YNLy8vZs2a1Wv39/X1ZeTIkT2+vq6ujoSEBB555JFLxv3kJz9x/47y8nIeeuihHvcpIiIiIiIig9+AJ9Rmsxmr1YrVaiUmJoasrCzKyso4deqUO2bp0qVERkbi5+fH+PHjyc3NpbGx0X1+//79xMfHY7FYCAwMZNKkSezZswfouOT7UrGdWbRoEVlZWUyZMuWSv8Nisbh/h9Vqxd/fv4dPREREREREpOfa3qHu73Y1GlRFyWpqali/fj02m42QkBD3cYvFQkFBAaNHj6a0tJSFCxdisVhYsmQJAMnJyUycOJHVq1djMpkoKSnB27vz7ac8ifXEypUrefzxxxk7dizf/va3SU9Px8ur88frdDpxOp3u7w6H47L7FxERERERkf414Al1UVERAQEBANTW1hIaGkpRURFG4yeT5zk5Oe7P4eHhLF68mMLCQndCbbfbyczMJCoqCoCIiIgu+/MktrsefvhhvvjFLzJs2DB27tzJsmXLKC8v5xe/+EWn8StWrGD58uWX3a+ISI8YTRj/vW80ZjMGvyG4hphpCTDTHNC693NjgBcNFhMNFgPOIAONgS4aglswDG0gKKiOKaHHCBtSyTU+Z/ic11lGmGoZZmzGYvTCbPDG22Ci2dVCE82ca2nggyYfTjVbKGsI4W9VEXxUG0RlrR9//GAiplojpjoDQ04b8K5zMeRMC171LfhUNWCsb8J4rg7O1UJDI676eloaGsHVAi4HQTgI+pSf6wK027SIiIj0hQFf8h0fH09JSQklJSXs2rWL6dOnM2PGDI4dO+aO2bBhA1OnTsVqtRIQEEBOTg52u919PiMjgwULFjBt2jRWrlzJkSNHuuzPk9juysjIIC4ujhtuuIEHH3yQn//85/zqV79qNwt9oWXLllFdXe1uZWVllz0GERERERERQEXJ+tGAJ9T+/v7YbDZsNhuxsbGsW7eO2tpa1q5dC0BxcTHJycnMnDmToqIi9u3bR3Z2Ng0NDe575OXlcfDgQRITE9m+fTvR0dFs2rSp0/48ie2pm266iaamJo4ePdrpebPZTGBgYLsmIiIiIiIiV5YBT6gvZjAYMBqN1NfXA7Bz507CwsLIzs5m8uTJREREtJu9bhMZGUl6ejpbt24lKSmJ/Pz8LvvwJLYnSkpKMBqNl1VdXEREREREpCdUlKz/DPg71E6nk4qKCgDOnj3LqlWrqKmpYfbs2UDrO852u53CwkJiY2PZvHlzuxnl+vp6MjMzmTdvHuPGjeP48ePs3r2buXPndujLk9g2FRUVVFRUcPjwYQBKS0uxWCyMHTuWYcOGUVxczNtvv+2uHF5cXEx6ejrf+c53GDp0aG8+KhERERERERlEBjyh3rJlC6GhoUBrNe+oqCg2btxIXFwcAHPmzCE9PZ20tDScTieJiYnk5uaSl5cHgMlkorKykpSUFE6ePMnw4cNJSkrqtOiXJ7Ft1qxZ0+78LbfcAkB+fj6pqamYzWYKCwvJy8vD6XQybtw40tPTycjI6KUnJCIiIiIiIoORweVyXaWT84OHw+EgKCiIOG7Hy3D5W3iJiFzSIKryfa7CchlVvvWfLxER6RtNrkZ28AbV1dVXVL2jtrzihvt+islnSL/23dxwngP5j1xxz+xyDbp3qEVERERERESuBAO+5FtERERERER60UBsY3WVLhz7zM9QFxQUEBwcPNDDEBERERERkc+YAU2oU1NTMRgM7hYSEkJCQgIHDhzotT7mz5/PoUOHenz9Cy+8QFxcHIGBgRgMBqqqqrqMdTqdxMTEYDAYKCkp6XGfIiIiIiIiPaVts/rPgM9QJyQkUF5eTnl5Odu2bcPLy4tZs2b12v19fX0vaz/ouro6EhISeOSRRz41dsmSJYwePbrHfYmIiIiIiMiVY8ATarPZjNVqxWq1EhMTQ1ZWFmVlZZw6dcods3TpUiIjI/Hz82P8+PHk5ubS2NjoPr9//373PtCBgYFMmjSJPXv2AB2XfF8qtjOLFi0iKyuLKVOmXPJ3/Nd//Rdbt27l6aef7uGTEBERERERkSvJoCpKVlNTw/r167HZbISEhLiPWywWCgoKGD16NKWlpSxcuBCLxcKSJUsASE5OZuLEiaxevRqTyURJSQne3p1vP+VJbHedPHmShQsX8oc//AE/P79PjXc6nTidTvd3h8NxWf2LiIiIiIi4qShZvxnwhLqoqIiAgAAAamtrCQ0NpaioCKPxk8nznJwc9+fw8HAWL15MYWGhO6G22+1kZmYSFRUFQERERJf9eRLbHS6Xi9TUVB588EEmT57M0aNHP/WaFStWsHz58svqV0SuPgYvr9a9owGDny8G/9Y/4LkC/GgKat1rsiHYB2ewifPDWv8den4YOEc04zWins+FVAMQGfQx1/qdxGauYKzXWUaZGgky+uBn9HH31exqod7VwJmWJk40+XK0cTiHnaP4V42VDx3D+K+912NyeOF9zoDPOfCuceFd48KnpgWv2mZ8TtdiqG/AUO/E5WzAde4crqYmXM3N4KrChypCgdBP+c0uoLlXn6KIiIhI7xnwJd/x8fGUlJRQUlLCrl27mD59OjNmzODYsWPumA0bNjB16lSsVisBAQHk5ORgt9vd5zMyMliwYAHTpk1j5cqVHDlypMv+PIntjl/96lecO3eOZcuWdfuaZcuWUV1d7W5lZWWXNQYREREREZE2BpdrQNrVaMATan9/f2w2GzabjdjYWNatW0dtbS1r164FoLi4mOTkZGbOnElRURH79u0jOzubhoYG9z3y8vI4ePAgiYmJbN++nejoaDZt2tRpf57Edsf27dspLi7GbDbj5eWFzWYDYPLkydx7772dXmM2mwkMDGzXRERERERE5Moy4Eu+L2YwGDAajdTX1wOwc+dOwsLCyM7OdsdcOHvdJjIyksjISNLT07n77rvJz8/nzjvv7LQPT2I/zbPPPssTTzzh/n7ixAmmT5/Ohg0buOmmm3p0TxERERERERn8BjyhdjqdVFRUAHD27FlWrVpFTU0Ns2fPBlrfcbbb7RQWFhIbG8vmzZvbzSjX19eTmZnJvHnzGDduHMePH2f37t3MnTu3Q1+exLapqKigoqKCw4cPA1BaWorFYmHs2LEMGzaMsWPHtotvex98woQJXHPNNZf3cERERERERDylomT9ZsAT6i1bthAa2lqWxmKxEBUVxcaNG4mLiwNgzpw5pKenk5aWhtPpJDExkdzcXPLy8gAwmUxUVlaSkpLCyZMnGT58OElJSZ0W/fIkts2aNWvanb/lllsAyM/PJzU1tXcegoiIiIiIiFxxDC7XVfr2+CDicDgICgoijtvxMlzeFl4i8tk1mKp8nzgWchlVvvWfHRERGdyaXI3s4A2qq6uvqHpHbXnFxOQnMfkM6de+mxvOs++32VfcM7tcA16UTERERERERORKNOBLvkVERERERKQX6R3qfvOZn6EuKCggODh4oIchIiIiIiIinzEDmlCnpqZiMBjcLSQkhISEBA4cONBrfcyfP59Dhw71+PoXXniBuLg4AgMDMRgMVFVVdYiZM2cOY8eOZciQIYSGhnLPPfdw4sSJyxi1iIiIiIiIDHYDPkOdkJBAeXk55eXlbNu2DS8vL2bNmtVr9/f19WXkyJE9vr6uro6EhAQeeeSRLmPi4+N59dVXef/993n99dc5cuQI8+bN63GfIiIiIiIiPWVwDUy7Gg14Qm02m7FarVitVmJiYsjKyqKsrIxTp065Y5YuXUpkZCR+fn6MHz+e3NxcGhsb3ef3799PfHw8FouFwMBAJk2axJ49e4COS74vFduZRYsWkZWVxZQpU7qMSU9PZ8qUKYSFhXHzzTeTlZXFP/7xj3ZjFBERERERkc+WQVWUrKamhvXr12Oz2QgJCXEft1gsFBQUMHr0aEpLS1m4cCEWi4UlS5YAkJyczMSJE1m9ejUmk4mSkhK8vTvffsqT2J44c+YMv/3tb7n55pu7vK/T6cTpdLq/OxyOXutfRERERESucipK1m8GPKEuKioiICAAgNraWkJDQykqKsJo/GTyPCcnx/05PDycxYsXU1hY6E6o7XY7mZmZREVFARAREdFlf57EemLp0qWsWrWKuro6pkyZQlFRUZexK1asYPny5b3Sr4gMfgbv1v2djb6t+0EaAi0AtAS3/rNxeOt+0vUjvKkbaQKgztr6X6WGzzXyudFnAIgJ+YiJAR8A8AXzR4R51QMwzGTG/O897JtdLdS4nJxoar3+/xqHs68unH1VYzhcORyAox+OZPuZGMxVBsxnXZirXfhUN+PjaMR07nzrWGvOQ109rvPncZ130tLQCC3NQBUBVBHJB5f8zS2X88BERERErhADvuQ7Pj6ekpISSkpK2LVrF9OnT2fGjBkcO3bMHbNhwwamTp2K1WolICCAnJwc7Ha7+3xGRgYLFixg2rRprFy5kiNHjnTZnyexnsjMzGTfvn1s3boVk8lESkoKLlfnf6ZZtmwZ1dXV7lZWVtYrYxAREREREZH+M+AJtb+/PzabDZvNRmxsLOvWraO2tpa1a9cCUFxcTHJyMjNnzqSoqIh9+/aRnZ1NQ0OD+x55eXkcPHiQxMREtm/fTnR0NJs2beq0P09iPTF8+HAiIyP5xje+QWFhIX/605/4xz/+0Wms2WwmMDCwXRMREREREekNKkrWfwY8ob6YwWDAaDRSX9+6lHHnzp2EhYWRnZ3N5MmTiYiIaDd73SYyMpL09HS2bt1KUlIS+fn5XfbhSWxPtLS0Lna88D1pERERERER+WwZ8HeonU4nFRUVAJw9e5ZVq1ZRU1PD7NmzgdZ3nO12O4WFhcTGxrJ58+Z2M8r19fVkZmYyb948xo0bx/Hjx9m9ezdz587t0JcnsW0qKiqoqKjg8OHDAJSWlmKxWBg7dizDhg3j7bffZvfu3XzlK19h6NChHDlyhNzcXCZMmMCXv/zl3nxUIiIiIiIin05FyfrNgCfUW7ZsITQ0FGit5h0VFcXGjRuJi4sDYM6cOaSnp5OWlobT6SQxMZHc3Fzy8vIAMJlMVFZWkpKSwsmTJxk+fDhJSUmdFv3yJLbNmjVr2p2/5ZZbAMjPzyc1NRU/Pz9+//vf89hjj7mLqiUkJJCTk4PZbO6lpyQiIiIiIiKDjcHVVeUs6TcOh4OgoCDiuB0vQ+9t4SUig0PvVvlufeXlcqp81572w+uMVw+rfIuIiHz2Nbka2cEbVFdXX1H1jtryikl3PYmX95B+7bup8TzvvJp9xT2zyzXo3qEWERERERERuRIooRYRERERERHpgc98Ql1QUEBwcPBAD0NERERERKR/uFwD065CA5pQp6amYjAY3C0kJISEhAQOHDjQa33Mnz+fQ4cO9fj6F154gbi4OAIDAzEYDFRVVbU7f/ToUb73ve8xbtw4fH19mTBhAo899li7fbJFRERERETks2fAZ6gTEhIoLy+nvLycbdu24eXlxaxZs3rt/r6+vowcObLH19fV1ZGQkMAjjzzS6fl//etftLS08Otf/5qDBw/yzDPPsGbNmi7jRURERERE+pLBNTDtajTgCbXZbMZqtWK1WomJiSErK4uysjJOnTrljlm6dCmRkZH4+fkxfvx4cnNzaWxsdJ/fv38/8fHxWCwWAgMDmTRpEnv27AE6Lvm+VGxnFi1aRFZWFlOmTOn0fEJCAvn5+dx2222MHz+eOXPmsHjxYn7/+99f5pMRERERERGRwWzA96G+UE1NDevXr8dmsxESEuI+brFYKCgoYPTo0ZSWlrJw4UIsFgtLliwBIDk5mYkTJ7J69WpMJhMlJSV4e3e+/ZQnsT1VXV3NsGHDujzvdDpxOp3u7w6Ho1f7FxERERERkb434Al1UVERAQEBANTW1hIaGkpRURFG4yeT5zk5Oe7P4eHhLF68mMLCQndCbbfbyczMJCoqCoCIiIgu+/MkticOHz7Mr371K55++ukuY1asWMHy5ct7tV8R6X0Gr0/+FWm0tO4ZbRga5D7WaG39XHuNLwDnxrT+e6tmXOt+zSPHVwLwtdDDANxiaa0Pcb3PaQBCTa3XeRv+vfd0SwPHmpoA2O/8HAB/qY5iV3kYAJvfuZG3Tk4CwPcU+J5uAWDImSZ8zvx7/+iqWjhXi6umFgCX04mrqQk4yec4+am/ueWif4qIiMgVyPXv1t999sBzzz3HU089RUVFBTfeeCO/+tWv+NKXvtRp7Nq1a/nNb37Du+++C8CkSZP46U9/2mV8fxjwJd/x8fGUlJRQUlLCrl27mD59OjNmzODYsWPumA0bNjB16lSsVisBAQHk5ORgt9vd5zMyMliwYAHTpk1j5cqVHDlypMv+PIn11EcffURCQgLf/OY3WbhwYZdxy5Yto7q62t3Kysp6bQwiIiIiIiJXgg0bNpCRkcFjjz3G3r17ufHGG5k+fToff/xxp/E7duzg7rvv5i9/+QvFxcWMGTOG2267jY8++qifR/6JAU+o/f39sdls2Gw2YmNjWbduHbW1taxduxaA4uJikpOTmTlzJkVFRezbt4/s7Ox2VbTz8vI4ePAgiYmJbN++nejoaDZt2tRpf57EeuLEiRPEx8dz880388ILL1wy1mw2ExgY2K6JiIiIiIj0BkPLwDRP/eIXv2DhwoXcd999REdHs2bNGvz8/HjppZc6jf/tb3/LD37wA2JiYoiKimLdunW0tLSwbdu2y3xiPTfgCfXFDAYDRqOR+vp6AHbu3ElYWBjZ2dlMnjyZiIiIdrPXbSIjI0lPT2fr1q0kJSWRn5/fZR+exHbHRx99RFxcHJMmTSI/P7/dcnURERERERFpr6GhgXfeeYdp06a5jxmNRqZNm0ZxcXG37lFXV0djY+Ml61f1tQF/h9rpdFJRUQHA2bNnWbVqFTU1NcyePRtofcfZbrdTWFhIbGwsmzdvbjejXF9fT2ZmJvPmzWPcuHEcP36c3bt3M3fu3A59eRLbpqKigoqKCg4fbn0HsrS0FIvFwtixYxk2bJg7mQ4LC+Ppp59uV53carX2yjMSERERERHptgF8h/rigstmsxmz2dwh/PTp0zQ3NzNq1Kh2x0eNGsW//vWvbnW5dOlSRo8e3S4p728DnlBv2bKF0NBQoLWad1RUFBs3biQuLg6AOXPmkJ6eTlpaGk6nk8TERHJzc8nLywPAZDJRWVlJSkoKJ0+eZPjw4SQlJXVa9MuT2DZr1qxpd/6WW24BID8/n9TUVP785z9z+PBhDh8+zDXXXNPuWpfrKt2MTURERERErkpjxoxp9/2xxx5z5269aeXKlRQWFrJjxw6GDBnS6/fvLoNLWd+AczgcBAUFEcfteBl6dwsvEem53q/y3frX1p5W+a4qD8R8snVMnlf5FhERke5qcjWygzeorq6+ouodteUVsXc8gZd3/yaZTY3n2f2HHMrKyto9s65mqBsaGvDz8+O1117jjjvucB+/9957qaqq4o033uiyr6effponnniCt956i8mTJ/fq7/CUXvYVERERERH5DDG4BqYBHYovd5ZMA/j4+DBp0qR2BcXaCox9+ctf7vK3/exnP+Pxxx9ny5YtA55MwyBY8i0iIiIiIiJXn4yMDO69914mT57Ml770JX75y19SW1vLfffdB0BKSgqf+9znWLFiBQD/8R//waOPPsrvfvc7wsPD3bW4AgICCAgIGJDf8JmfoS4oKCA4OHighyEiIiIiItI/XK6BaR6aP38+Tz/9NI8++igxMTGUlJSwZcsWd6Eyu91OeXm5O3716tU0NDQwb948QkND3e3pp5/utUfnqQFNqFNTUzEYDO4WEhJCQkICBw4c6LU+5s+fz6FDh3p8/QsvvEBcXByBgYEYDAaqqqo6xDz55JPcfPPN+Pn5KXkXERERERHpprS0NI4dO4bT6eTtt9/mpptucp/bsWMHBQUF7u9Hjx7F5XJ1aH1R9Ky7BnyGOiEhgfLycsrLy9m2bRteXl7MmjWr1+7v6+vLyJEje3x9XV0dCQkJPPLII13GNDQ08M1vfpPvf//7Pe5HREREREREriwDnlCbzWasVitWq5WYmBiysrIoKytrt5/z0qVLiYyMxM/Pj/Hjx5Obm0tjY6P7/P79+4mPj8disRAYGMikSZPYs2cP0HHJ96ViO7No0SKysrKYMmVKlzHLly8nPT2d66+//jKehIiIiIiIyOUbyKJkV5tBVZSspqaG9evXY7PZCAkJcR+3WCwUFBQwevRoSktLWbhwIRaLhSVLlgCQnJzMxIkTWb16NSaTiZKSEry9O99+ypPYvuJ0OnE6ne7vF29+LiIiIiIiIoPfgCfURUVF7opstbW1hIaGUlRUhNH4yeR5Tk6O+3N4eDiLFy+msLDQnVDb7XYyMzOJiooCICIiosv+PIntKytWrGD58uX93q/I1cTg7eP+bAoZ6v7c/Lnh7s/nJljcn89GfvLvnKbragBIsL3nPnb70P8F4Is+59zHhpr8gNb9owHebTQAsNkRA0CR/QsAbPx767tAm8tuBiDgo9b9o/3LW1fa+Jxq3TPaWOmgxdF6/5bautZOWuoZSev+1Zd6eaXtj8LNl4gRERGRq4SLT/7PQX/2eRUa8CXf8fHxlJSUUFJSwq5du5g+fTozZszg2LFj7pgNGzYwdepUrFYrAQEB5OTkYLfb3eczMjJYsGAB06ZNY+XKlRw5cqTL/jyJ7SvLli2jurra3crKyvp9DCIiIiIiInJ5Bjyh9vf3x2azYbPZiI2NZd26ddTW1rJ27VoAiouLSU5OZubMmRQVFbFv3z6ys7NpaGhw3yMvL4+DBw+SmJjI9u3biY6OZtOmTZ3250lsXzGbzR02PBcREREREZEry4An1BczGAwYjUbq6+sB2LlzJ2FhYWRnZzN58mQiIiLazV63iYyMJD09na1bt5KUlER+fn6XfXgSKyIiIiIiciVRUbL+M+DvUDudTioqKgA4e/Ysq1atoqamhtmzZwOt7zjb7XYKCwuJjY1l8+bN7WaU6+vryczMZN68eYwbN47jx4+ze/du5s6d26EvT2LbVFRUUFFRweHDhwEoLS3FYrEwduxYhg0bBrS+l33mzBnsdjvNzc2UlJQAYLPZ3O+Hi4iIiIiIyGfLgCfUW7ZsITQ0FGit5h0VFcXGjRuJi4sDYM6cOaSnp5OWlobT6SQxMZHc3Fz35t0mk4nKykpSUlI4efIkw4cPJykpqdOiX57EtlmzZk2787fccgsA+fn5pKamAvDoo4/y8ssvu2MmTpwIwF/+8hf37xAREREREekXLldr6+8+r0IGl+sq/eWDiMPhICgoiDhux8vQv1t4iXxW9X6V771Az6p8nz3W2r9fmQnwtMq36naLiIj0tyZXIzt4g+rq6iuq3lFbXjFl5k/w8h7Sr303NZ7nH3969Ip7ZpdrwGeoRUREREREpPcMxDvNV+s71IOuKJmIiIiIiIjIleAzn1AXFBQQHBw80MMQERERERGRz5gBTahTU1MxGAzuFhISQkJCAgcOHOi1PubPn8+hQ4d6fP0LL7xAXFwcgYGBGAwGqqqqOsScOXOG5ORkAgMDCQ4O5nvf+x41NTWXMWoREREREZEecg1QuwoN+Ax1QkIC5eXllJeXs23bNry8vJg1a1av3d/X15eRI0f2+Pq6ujoSEhJ45JFHuoxJTk7m4MGD/PnPf6aoqIj//d//5f777+9xnyIiIiIiIjL4DXhCbTabsVqtWK1WYmJiyMrKoqysjFOnTrljli5dSmRkJH5+fowfP57c3FwaGxvd5/fv3098fDwWi4XAwEAmTZrEnj17gI5Lvi8V25lFixaRlZXFlClTOj3/3nvvsWXLFtatW8dNN93EV77yFX71q19RWFjIiRMnLvPpiIiIiIiIeKatKFl/t6vRoKryXVNTw/r167HZbISEhLiPWywWCgoKGD16NKWlpSxcuBCLxcKSJUuA1hniiRMnsnr1akwmEyUlJXh7d779lCex3VFcXExwcDCTJ092H5s2bRpGo5G3336bO++8s8M1TqcTp9Pp/u5wOHrcv4iIiIiIiAyMAU+oi4qKCAgIAKC2tpbQ0FCKioowGj+ZPM/JyXF/Dg8PZ/HixRQWFroTarvdTmZmJlFRUQBERER02Z8nsd1RUVHRYUm5l5cXw4YNo6KiotNrVqxYwfLlyy+rX5HPJIOh3VfTyBHtvjfZRrf7fupGP/fn6pvOtzv3rRs+WXlyz9BN7s+f9/nkmrb9owH+9/wne1I//1E8AH/cM9F9bMehWACCPvxkX2h/e2utBFPFWQBaKs+0/vN861iGc+jf/7y0lov+KSIiIiJXhgFf8h0fH09JSQklJSXs2rWL6dOnM2PGDI4dO+aO2bBhA1OnTsVqtRIQEEBOTg52u919PiMjgwULFjBt2jRWrlzJkSNHuuzPk9i+smzZMqqrq92trKys38cgIiIiIiKfUS2ugWlXoQFPqP39/bHZbNhsNmJjY1m3bh21tbWsXbsWaF1SnZyczMyZMykqKmLfvn1kZ2fT0PDJzFJeXh4HDx4kMTGR7du3Ex0dzaZNmzrtz5PY7rBarXz88cftjjU1NXHmzBmsVmun15jNZgIDA9s1ERERERERubIMeEJ9MYPBgNFopL6+HoCdO3cSFhZGdnY2kydPJiIiot3sdZvIyEjS09PZunUrSUlJ5Ofnd9mHJ7Gf5stf/jJVVVW888477mPbt2+npaWFm266qcf3FRERERER6RFtm9VvBvwdaqfT6X7X+OzZs6xatYqamhpmz54NtL7jbLfbKSwsJDY2ls2bN7ebUa6vryczM5N58+Yxbtw4jh8/zu7du5k7d26HvjyJbVNRUUFFRQWHDx8GoLS0FIvFwtixYxk2bBif//znSUhIYOHChaxZs4bGxkbS0tL41re+xejRo7u8r4iIiIiIiFzZBjyh3rJlC6GhoUBrNe+oqCg2btxIXFwcAHPmzCE9PZ20tDScTieJiYnk5uaSl5cHgMlkorKykpSUFE6ePMnw4cNJSkrqtOiXJ7Ft1qxZ0+78LbfcAkB+fj6pqakA/Pa3vyUtLY2vf/3rGI1G5s6dy7PPPtsLT0dERERERMQzBvp/GyvDp4d8JhlcLtdVOjk/eDgcDoKCgojjdrwMPd/CS+SK12dVvv/h/uxJle/S98a6j1kOtf790ZMq3yIiInJlanI1soM3qK6uvqLqHbXlFVOnLcfLa0i/9t3UdJ6/v/XYFffMLtege4daRERERERE5Eow4Eu+RUREREREpBe5XK2tv/u8Cl31M9QFBQUEBwcP9DBERERERETkCjOoE+rU1FQMBoO7hYSEkJCQwIEDB3qtj/nz53Po0KEeX3/kyBHuvPNORowYQWBgIHfddRcnT57stfGJiIiIiIh4wuAamHY1GtQJNUBCQgLl5eWUl5ezbds2vLy8mDVrVq/d39fXl5EjR/bo2traWm677TYMBgPbt2/n73//Ow0NDcyePZuWlpZeG6OIiIiIiIgMPoM+oTabzVitVqxWKzExMWRlZVFWVsapU6fcMUuXLiUyMhI/Pz/Gjx9Pbm4ujY2N7vP79+8nPj4ei8VCYGAgkyZNYs+e1grAFy/5vlTsxf7+979z9OhRCgoKuP7667n++ut5+eWX2bNnD9u3b++bByIiIiIiIiKDwhVVlKympob169djs9kICQlxH7dYLBQUFDB69GhKS0tZuHAhFouFJUuWAJCcnMzEiRNZvXo1JpOJkpISvL07357Kk1in04nBYMBsNruPDRkyBKPRyN/+9jemTZvW5XVOp9P93eFwePwsREREREREOuX6d+vvPq9Cgz6hLioqIiAgAGhdYh0aGkpRURFG4yeT6zk5Oe7P4eHhLF68mMLCQndCbbfbyczMJCoqCoCIiIgu+/MkdsqUKfj7+7N06VJ++tOf4nK5yMrKorm5mfLy8i6vW7FiBcuXL+/Grxe58piGDu1wrPGG8A7HPrrFt8Ox6Nva1zNYPuaNdt+/4NP+mkONte7PK8oT2p0r/NuX3Z+37p/q/jzsvXr3Z++jH7s/N3982v3Z1VgBQCQVHcZ4obb/bjRdMkpEREREPqsG/ZLv+Ph4SkpKKCkpYdeuXUyfPp0ZM2Zw7Ngxd8yGDRuYOnUqVquVgIAAcnJysNvt7vMZGRksWLCAadOmsXLlSo4cOdJlf57Ejhgxgo0bN/LHP/6RgIAAgoKCqKqq4otf/GK7hP9iy5Yto7q62t3Kyso8fCoiIiIiIiKdM7hcA9KuRoM+ofb398dms2Gz2YiNjWXdunXU1taydu1aAIqLi0lOTmbmzJkUFRWxb98+srOzaWhocN8jLy+PgwcPkpiYyPbt24mOjmbTpk2d9udJLMBtt93GkSNH+Pjjjzl9+jSvvPIKH330EePHj+/yGrPZTGBgYLsmIiIiIiIiV5ZBv+T7YgaDAaPRSH1967LNnTt3EhYWRnZ2tjvmwtnrNpGRkURGRpKens7dd99Nfn4+d955Z6d9eBLbZvjw4QBs376djz/+mDlz5vT0J4qIiIiIiPRcy79bf/d5FRr0CbXT6aSiovU9xrNnz7Jq1SpqamqYPXs20PqOs91up7CwkNjYWDZv3txuRrm+vp7MzEzmzZvHuHHjOH78OLt372bu3Lkd+vIktk1+fj6f//znGTFiBMXFxfzoRz8iPT2da6+9tpefhIiIiIiIiAwmgz6h3rJlC6GhoUBrNe+oqCg2btxIXFwcAHPmzCE9PZ20tDScTieJiYnk5uaSl5cHgMlkorKykpSUFE6ePMnw4cNJSkrqtCiYJ7Ft3n//fZYtW8aZM2cIDw8nOzub9PT0Xn8OIiIiIiIiMrgYXK6r9O3xQcThcBAUFEQct+Nl6HyLLpErRe9W+f5ju++eVPn+n93R7s/D9n9SLqJ7Vb4/qcEgIiIiV58mVyM7eIPq6uorqt5RW15xy1cfxctrSL/23dR0nv/960+uuGd2uQZ9UTIRERERERGRwWjQL/kWERERERERD7j+3fq7z6vQVT9DXVBQQHBw8EAPQ0RERERERK4wgzqhTk1NxWAwuFtISAgJCQkcOHCg1/qYP38+hw4d+vTALlRUVHDPPfdgtVrx9/fni1/8Iq+//nqvjU9EREREREQGp0GdUAMkJCRQXl5OeXk527Ztw8vLi1mzZvXa/X19fRk5cmSPr09JSeH999/nzTffpLS0lKSkJO666y727dvXa2MUERERERHpNpdrYNpVaNAn1GazGavVitVqJSYmhqysLMrKyjh16pQ7ZunSpURGRuLn58f48ePJzc2lsbHRfX7//v3Ex8djsVgIDAxk0qRJ7NmzB+i45PtSsZ3ZuXMnDz30EF/60pcYP348OTk5BAcH88477/T+wxAREREREZFB44oqSlZTU8P69eux2WyEhIS4j1ssFgoKChg9ejSlpaUsXLgQi8XCkiVLAEhOTmbixImsXr0ak8lESUkJ3t6db0/lSSzAzTffzIYNG0hMTCQ4OJhXX32V8+fPu/fJ7ozT6cTpdLq/OxwOD5+EiIiIiIhI5wyu1tbffV6NBn1CXVRUREBAAAC1tbWEhoZSVFSE0fjJ5HpOTo77c3h4OIsXL6awsNCdUNvtdjIzM4mKigIgIiKiy/48iQV49dVXmT9/PiEhIXh5eeHn58emTZuw2WxdXrNixQqWL1/+Kb9cpH+ZLrFfYN1Xr+30uH1+c4djL00t6HAszvcvHY5truu4N+LD/7i73feUVzLafR+xu/0fnwyH7e7PLefOtTsXwdsdB3yRpk+NEBERERHp2qBf8h0fH09JSQklJSXs2rWL6dOnM2PGDI4dO+aO2bBhA1OnTsVqtRIQEEBOTg52+yf/RzsjI4MFCxYwbdo0Vq5cyZEjR7rsz5NYgNzcXKqqqnjrrbfYs2cPGRkZ3HXXXZSWlnZ5zbJly6iurna3srIyD56IiIiIiIjIJegd6n4z6BNqf39/bDYbNpuN2NhY1q1bR21tLWvXrgWguLiY5ORkZs6cSVFREfv27SM7O5uGhgb3PfLy8jh48CCJiYls376d6OhoNm3a1Gl/nsQeOXKEVatW8dJLL/H1r3+dG2+8kccee4zJkyfz3HPPdfmbzGYzgYGB7ZqIiIiIiIhcWQZ9Qn0xg8GA0Wikvr4eaC0KFhYWRnZ2NpMnTyYiIqLd7HWbyMhI0tPT2bp1K0lJSeTn53fZR3dj6+rqANotPwcwmUy0tLT09CeKiIiIiIjIFWDQv0PtdDqpqKgA4OzZs6xatYqamhpmz54NtL7jbLfbKSwsJDY2ls2bN7ebUa6vryczM5N58+Yxbtw4jh8/zu7du5k7d26HvjyJBYiKisJms/HAAw/w9NNPExISwh/+8Af+/Oc/U1RU1AdPQ0RERERE5NIMLa2tv/u8Gg36hHrLli2EhoYCrdW8o6Ki2Lhxo7uK9pw5c0hPTyctLQ2n00liYiK5ubnk5eUBrbPFlZWVpKSkcPLkSYYPH05SUlKnRcE8iQXw9vbmT3/6E1lZWcyePZuamhpsNhsvv/wyM2fO7JPnISIiIiIiIoODweW6St8eH0QcDgdBQUHEcTtehq636BLpS31b5bvjnyy7U+U7+H/bx3hS5VtERESkp5pcjezgDaqrq6+oekfuvOJL2Xh5dfz/Wn2pqek8O3Y9ecU9s8t1xb1DLSIiIiIiIjIYKKEWERERERER6QEl1EBBQQHBwcEDPQwREREREZHL5xqgdhUa9Al1amoqBoPB3UJCQkhISODAgQO91sf8+fM5dOhQj649evRou/Fd2DZu3NhrYxQREREREZHBZdAn1AAJCQmUl5dTXl7Otm3b8PLyYtasWb12f19fX0aOHNmja8eMGeMeW1tbvnw5AQEBzJgxo9fGKCIiIiIi0h0Gl2tA2tXoikiozWYzVqsVq9VKTEwMWVlZlJWVcerUKXfM0qVLiYyMxM/Pj/Hjx5Obm0tjY6P7/P79+4mPj8disRAYGMikSZPYs2cP0HHJ96ViL2Yymdxja2ubNm3irrvuIiAgoG8eiIiIiIiIiAy4Qb8P9cVqampYv349NpuNkJAQ93GLxUJBQQGjR4+mtLSUhQsXYrFYWLJkCQDJyclMnDiR1atXYzKZKCkpwdu78y2qPIm92DvvvENJSQnPPfdclzFOpxOn0+n+7nA4uowVERERERHxiMvV2vq7z6vQFZFQFxUVuWd7a2trCQ0NpaioCKPxkwn2nJwc9+fw8HAWL15MYWGhO6G22+1kZmYSFRUFQERERJf9eRJ7sRdffJHPf/7z3HzzzV3GrFixguXLl3f7niLd4RU25lNjPri365j/uKegy3OJfjs6PX7vsVs7HHv4uQc7HPvcW2c6HHP983CHY7amfV2OATrWurg6/7UtIiIiIoPFFbHkOz4+npKSEkpKSti1axfTp09nxowZHDt2zB2zYcMGpk6ditVqJSAggJycHOx2u/t8RkYGCxYsYNq0aaxcuZIjR4502Z8nsReqr6/nd7/7Hd/73vcuGbds2TKqq6vdraysrFv3FxERERERkcHjikio/f39sdls2Gw2YmNjWbduHbW1taxduxaA4uJikpOTmTlzJkVFRezbt4/s7GwaGhrc98jLy+PgwYMkJiayfft2oqOj2bRpU6f9eRJ7oddee426ujpSUlIuGWc2mwkMDGzXREREREREeoULaOnndpUuHbwiEuqLGQwGjEYj9fX1AOzcuZOwsDCys7OZPHkyERER7Wav20RGRpKens7WrVtJSkoiPz+/yz48iW3z4osvMmfOHEaMGNHzHyciIiIiIiJXhCviHWqn00lFRQUAZ8+eZdWqVdTU1DB79myg9R1nu91OYWEhsbGxbN68ud2Mcn19PZmZmcybN49x48Zx/Phxdu/ezdy5czv05UnshQ4fPsz//u//8qc//akXf7mIiIiIiIhnBmIbq6t126wrIqHesmULoaGhQGs176ioKDZu3EhcXBwAc+bMIT09nbS0NJxOJ4mJieTm5pKXlwe0bm1VWVlJSkoKJ0+eZPjw4SQlJXVaGMyT2Au99NJLXHPNNdx22229+ttFRERERERkcDK4XFfpnxIGEYfDQVBQEHHcjpehe9tziVysb6t813R6vLMq3wdei+5wrLtVvl1NTV2OQURERKS/NLka2cEbVFdXX1H1jtryilsnZuFlGtKvfTc1n2f7vpVX3DO7XFfEDLWIiIiIiIh0k4sB2Ie6f7sbLK7IomQiIiIiIiIiA+2qT6gLCgoIDg4e6GGIiIiIiIj0DpdrYNpVaFAn1KmpqRgMBncLCQkhISGBAwcO9Fof8+fP59ChQ5d1j+LiYm699Vb8/f0JDAzklltucW/pJSIiIiIiIp9NgzqhBkhISKC8vJzy8nK2bduGl5cXs2bN6rX7+/r6MnLkyB5fX1xcTEJCArfddhu7du1i9+7dpKWlYTQO+kcrIiIiIiKfRS0D1K5Cgz7rM5vNWK1WrFYrMTExZGVlUVZWxqlTp9wxS5cuJTIyEj8/P8aPH09ubi6NjY3u8/v37yc+Ph6LxUJgYCCTJk1iz549QMcl35eK7Ux6ejoPP/wwWVlZfOELX+Daa6/lrrvuwmw29/7DEBERERER+Qx57rnnCA8PZ8iQIdx0003s2rWry9iDBw8yd+5cwsPDMRgM/PKXv+y/gXZh0CfUF6qpqWH9+vXYbDZCQkLcxy0WCwUFBfzzn//kP//zP1m7di3PPPOM+3xycjLXXHMNu3fv5p133iErKwtv7863p/Ik9uOPP+btt99m5MiR3HzzzYwaNYqvfe1r/O1vf7vk73A6nTgcjnZNRERERETkarJhwwYyMjJ47LHH2Lt3LzfeeCPTp0/n448/7jS+rq6O8ePHs3LlSqxWaz+PtnODftusoqIiAgICAKitrSU0NJSioqJ2S6pzcnLcn8PDw1m8eDGFhYUsWbIEALvdTmZmJlFRUQBERER02Z8nsR988AEAeXl5PP3008TExPCb3/yGr3/967z77rtdXrtixQqWL1/enZ8vn2EmD/bnO5L5hU+N2XHvU58as9vZ9esNj7yY2uW5X796otPjTR8c7XAslJ0djl2lK4BEREREBoTB5cLQz0XCetLfL37xCxYuXMh9990HwJo1a9i8eTMvvfQSWVlZHeJjY2OJjY0F6PT8QBj0M9Tx8fGUlJRQUlLCrl27mD59OjNmzODYsWPumA0bNjB16lSsVisBAQHk5ORgt9vd5zMyMliwYAHTpk1j5cqVHDlypMv+PIltaWlNEx544AHuu+8+Jk6cyDPPPMO1117LSy+91OV1y5Yto7q62t3Kyso8eSQiIiIiIiKD0sUrcZ1OZ6dxDf+/vfuPqqrO9z/+PBwERQ4wQXlgQlAPRE6OGGJjTQ4UK0H8UWi5jBVRarc7OvMNl/hjgMQ73Wu3a5N1LZvRgmacwqirTThDP1CrSWf8kahZ5siU4ASM+QMC8YCyv3+4PBOCyoEjhyOvx1p7Lc7e7/35fPb206E3n8/+7OZmdu3aRVJSkmOfl5cXSUlJbNu2raea2229PqEeOHAgNpsNm81GfHw8a9asobGxkdWrVwPnFgVLT09nwoQJlJSUsHv3bnJycmhubnaUkZ+fz/79+0lNTWXTpk0MHz6c9evXd1ifM7GhoaEADB8+vM3+G2+8sU1CfyFfX18CAgLabCIiIiIiIi7hxtdmhYeHExgY6NiWLVvWYRO/+eYbzp49y6BBg9rsHzRoEDU1NVf8FrlKr5/yfSGTyYSXl5fjtVRbt24lIiKCnJwcR8x3R6/Pi46OJjo6mqysLGbMmEFBQQH33HNPh3V0NjYyMpKwsDC++OKLNvsPHjxISkpKdy5TRERERETE41RVVbUZMLzaF2vu9Qm13W53/IXixIkTrFy5koaGBiZNmgSce8a5srKSoqIi4uPj2bhxY5sR5aamJrKzs5k2bRpDhgzhyJEj7Nixg6lTp7ary5lYOJfcZ2dns2TJEkaOHElsbCyvvPIKBw4c4I033rgCd0NERERERKT36uwM3JCQEMxmM7W1tW3219bW9poFxzqj1yfUpaWljqnVFouFmJgYiouLSUhIAGDy5MlkZWUxd+5c7HY7qamp5OXlkZ+fD4DZbObYsWNkZGRQW1tLSEgIaWlpHS4K5kzseY899hinT58mKyuL48ePM3LkSN577z2GDRvm8nshIiIiIiJyWd+Zgt2jdTrBx8eHuLg4ysrKuPvuu4Fza1SVlZUxd+7cK9DAK8NkGD19p+VC9fX1BAYGksAUvE0dv6JLrj6etMp3hBOrfIuIiIh4ujNGC1t4i7q6Oo9a7+h8XnHn8Pl4m3t2qvWZs3bKPlvu1D1bt24dDz74IL/+9a8ZM2YMK1as4PXXX+fAgQMMGjSIjIwMvv/97zuew25ubuazzz4DYMKECaSnp5Oeno6/vz82m+2KXdul9PoRahEREREREXGCB4xQA0yfPp2jR4/y+OOPU1NTQ2xsLKWlpY6FyiorK9u8Lvnrr79m1KhRjs/Lly9n+fLl/OQnP2HLli3dvoSuUEItIiIiIiIibjF37tyLTvG+MEmOjIykt02w7vWvzeoJhYWFBAUFubsZIiIiIiIi4kF6fUKdmZmJyWRybMHBwSQnJ7N3716X1TF9+nQOHjzY5fMTEhLatNFkMvHoo4+6rH0iIiIiIiKd1uqmrQ/q9Qk1QHJyMtXV1VRXV1NWVoa3tzcTJ050WfkDBgzguusuvlhTZ8yePdvRxurqap566ikXtU5ERERERER6I49IqH19fbFarVitVmJjY1m0aBFVVVUcPXrUEbNw4UKio6Px8/Nj6NCh5OXl0dLS4ji+Z88eEhMTsVgsBAQEEBcXx86dO4H2U74vFXsxfn5+jjZarVaPWg1QRERERESuHibDcMvWF3ncomQNDQ2sXbsWm81GcHCwY7/FYqGwsJCwsDD27dvH7NmzsVgsLFiwAID09HRGjRrFqlWrMJvNlJeX069fx6+ocib2vN///vesXbsWq9XKpEmTfZSc1gAAKGVJREFUyMvLw8/Pr8NYu92O3W53fK6vr3f2NoiIiIiIiIibeURCXVJSgr+/PwCNjY2EhoZSUlLSZgn13Nxcx8+RkZHMnz+foqIiR0JdWVlJdnY2MTExAERFRV20PmdiAe6//34iIiIICwtj7969LFy4kC+++IL/+7//6zB+2bJlLF26tBNXLp7EuHWkU/Fzfruu07Hfnt132Zi0hfMvGxNYfPGZFt8/s/Wix85ctmQRERER6TU85LVZVwOPSKgTExNZtWoVACdOnOCFF14gJSWF7du3ExERAZx7Kfhzzz1HRUUFDQ0NnDlzps2063nz5jFr1ix+97vfkZSUxL333suwYcM6rM+ZWIBHHnnE8fOIESMIDQ3lzjvvpKKiosPzFi9ezLx58xyf6+vrCQ8Pd+6miIiIiIiIiFt5xDPUAwcOxGazYbPZiI+PZ82aNTQ2NrJ69WoAtm3bRnp6OhMmTKCkpITdu3eTk5NDc3Ozo4z8/Hz2799PamoqmzZtYvjw4axfv77D+pyJ7cgtt9wCwKFDhzo87uvrS0BAQJtNREREREREPItHjFBfyGQy4eXlRVNTEwBbt24lIiKCnJwcR8zhw4fbnRcdHU10dDRZWVnMmDGDgoIC7rnnng7rcCb2QuXl5QCEhoY6eWUiIiIiIiLd1GqAqYenYLdqynevZbfbqampAc5N+V65ciUNDQ1MmjQJOPeMc2VlJUVFRcTHx7Nx48Y2I8pNTU1kZ2czbdo0hgwZwpEjR9ixYwdTp05tV5czsQAVFRW8+uqrTJgwgeDgYPbu3UtWVhbjxo3jhz/84RW4GyIiIiIiItIbeERCXVpa6hjttVgsxMTEUFxcTEJCAgCTJ08mKyuLuXPnYrfbSU1NJS8vj/z8fADMZjPHjh0jIyOD2tpaQkJCSEtL63BhMGdiAXx8fHj//fdZsWIFjY2NhIeHM3Xq1DaLpImIiIiIiPQYLUrWY0yG0UevvBepr68nMDCQBKbgbbr067mk93J2le//59Qq3wMuG/Ns/vTLxlxqlW/jjNbyFhEREQE4Y7Swhbeoq6vzqPWOzucVSUP/H95m3x6t+8xZO+///VmPu2fd5RGLkomIiIiIiIj0Nh4x5VtEREREREQ6yw1TvumbE581Qg0UFhYSFBTk7maIiIiIiIiIB+n1CXVmZiYmk8mxBQcHk5yczN69e11Wx/Tp0zl48GC3yzEMg5SUFEwmExs2bOh+w0RERERERJx1flGynt76oF6fUAMkJydTXV1NdXU1ZWVleHt7M3HiRJeVP2DAAK677rpul7NixQpMJpMLWiQiIiIiIiK9nUck1L6+vlitVqxWK7GxsSxatIiqqiqOHj3qiFm4cCHR0dH4+fkxdOhQ8vLyaGlpcRzfs2cPiYmJWCwWAgICiIuLY+fOcyseXzjl+1KxF1NeXs7TTz/Nyy+/7NqLFxERERERcUar4Z6tD/K4RckaGhpYu3YtNpuN4OBgx36LxUJhYSFhYWHs27eP2bNnY7FYWLBgAQDp6emMGjWKVatWYTabKS8vp1+/jl9R5UwswKlTp7j//vt5/vnnsVqtl70Gu92O3W53fK6vr+/s5YuIiIiIiEgv4REJdUlJCf7+/gA0NjYSGhpKSUkJXl7/GmDPzc11/BwZGcn8+fMpKipyJNSVlZVkZ2cTExMDQFRU1EXrcyYWICsri1tvvZUpU6Z06nqWLVvG0qVLOxUrPafh3lu6df7Hz/7aqfibnv1pp2O//z9/vWxMQOtfLhvTN/9uKCIiIiJyZXjElO/ExETKy8spLy9n+/btjB8/npSUFA4fPuyIWbduHbfddhtWqxV/f39yc3OprKx0HJ83bx6zZs0iKSmJJ598koqKiovW50zsH/7wBzZt2sSKFSs6fT2LFy+mrq7OsVVVVXX6XBERERERkUsyWt2z9UEekVAPHDgQm82GzWYjPj6eNWvW0NjYyOrVqwHYtm0b6enpTJgwgZKSEnbv3k1OTg7Nzc2OMvLz89m/fz+pqals2rSJ4cOHs379+g7rcyZ206ZNVFRUEBQUhLe3N97e5wb9p06dSkJCQofn+Pr6EhAQ0GYTERERERERz+IRU74vZDKZ8PLyoqmpCYCtW7cSERFBTk6OI+a7o9fnRUdHEx0dTVZWFjNmzKCgoIB77rmnwzo6G7to0SJmzZrVZt+IESN45plnmDRpUncuU0RERERExHnueI1VH31tlkck1Ha7nZqaGgBOnDjBypUraWhocCSsUVFRVFZWUlRURHx8PBs3bmwzotzU1ER2djbTpk1jyJAhHDlyhB07djB16tR2dTkTCzhWH7/Q4MGDGTJkiCsuX0RERERERHohj0ioS0tLCQ0NBc6t5h0TE0NxcbFjSvXkyZPJyspi7ty52O12UlNTycvLIz8/HwCz2cyxY8fIyMigtraWkJAQ0tLSOlwYzJlYERERERER6btMhtFHx+Z7kfr6egIDA0lgCt6mi7+eS64sT1/lm9azTtUvIiIiIh07Y7Swhbeoq6vzqPWOzucVSd9/FG8v3x6t+0yrnff/8aLH3bPu8ohFyURERERERER6G4+Y8i0iIiIiIiKdpEXJeoxGqIHCwkKCgoLc3QwRERERERHxIL0+oc7MzMRkMjm24OBgkpOT2bt3r8vqmD59OgcPHuzy+f/2b//GsGHDGDBgANdeey1TpkzhwIEDLmufiIiIiIhIpxn8a5S6xzZ3X7R79PqEGiA5OZnq6mqqq6spKyvD29ubiRMnuqz8AQMGcN1113X5/Li4OAoKCvj888955513MAyDu+66i7NntUiUiIiIiIjI1cojEmpfX1/H+55jY2NZtGgRVVVVHD161BGzcOFCoqOj8fPzY+jQoeTl5dHS0uI4vmfPHhITE7FYLAQEBBAXF8fOnTuB9lO+LxXbkUceeYRx48YRGRnJzTffzBNPPEFVVRVfffWVy++FiIiIiIiI9A4etyhZQ0MDa9euxWazERwc7NhvsVgoLCwkLCyMffv2MXv2bCwWCwsWLAAgPT2dUaNGsWrVKsxmM+Xl5fTr1/ErqpyJvVBjYyMFBQUMGTKE8PDwDmPsdjt2u93xub6+vrOXLyIiIiIicmlalKzHeERCXVJSgr+/P3AuYQ0NDaWkpAQvr38NsOfm5jp+joyMZP78+RQVFTkS6srKSrKzs4mJiQEgKirqovU5E3veCy+8wIIFC2hsbOSGG27gvffew8fHp8PYZcuWsXTp0suWKZdm3Bbr0vLee+Z/u3V+8qSHnIr//q6t3apPRERERETcyyOmfCcmJlJeXk55eTnbt29n/PjxpKSkcPjwYUfMunXruO2227Barfj7+5Obm0tlZaXj+Lx585g1axZJSUk8+eSTVFRUXLQ+Z2LPS09PZ/fu3XzwwQdER0dz3333cfr06Q5jFy9eTF1dnWOrqqpy4m6IiIiIiIhcQmure7Y+yCMS6oEDB2Kz2bDZbMTHx7NmzRoaGxtZvXo1ANu2bSM9PZ0JEyZQUlLC7t27ycnJobm52VFGfn4++/fvJzU1lU2bNjF8+HDWr1/fYX3OxJ4XGBhIVFQU48aN44033uDAgQMXPcfX15eAgIA2m4iIiIiIiHgWj0ioL2QymfDy8qKpqQmArVu3EhERQU5ODqNHjyYqKqrN6PV50dHRZGVl8e6775KWlkZBQcFF63Am9kKGYWAYRpvnpEVEREREROTq4hHPUNvtdmpqagA4ceIEK1eupKGhgUmTJgHnnnGurKykqKiI+Ph4Nm7c2GZ0uKmpiezsbKZNm8aQIUM4cuQIO3bsYOrUqe3qciYW4O9//zvr1q3jrrvu4tprr+XIkSM8+eSTDBgwgAkTJlyBuyEiIiIiInIJWpSsx3hEQl1aWkpoaChwbjXvmJgYiouLSUhIAGDy5MlkZWUxd+5c7HY7qamp5OXlkZ+fD4DZbObYsWNkZGRQW1tLSEgIaWlpHS4M5kwsQP/+/fnoo49YsWIFJ06cYNCgQYwbN46tW7d2693WIiIiIiIi0ruZDKOP/imhF6mvrycwMJAEpuBt6tzrucT1q3xvWPebbp2fNsW5Vb6NXfu7VZ+IiIiIXBlnjBa28BZ1dXUetd7R+bwiKeRhvL06fuPQlXKmtZn3v3nZ4+5Zd3nkM9QiIiIiIiIi7uYRU75FRERERESkk1oNoIcnIrf2zYnPGqEGCgsLCQoKcnczRERERERExIP0+oQ6MzMTk8nk2IKDg0lOTmbv3r0uq2P69OkcPHiwS+ceP36cn/3sZ9xwww0MGDCAwYMH8/Of/5y6ujqXtU9ERERERER6n16fUAMkJydTXV1NdXU1ZWVleHt7M3HiRJeVP2DAgC6vyP3111/z9ddfs3z5cj799FMKCwspLS1l5syZLmufiIiIiIhIZxlGq1u2vsgjEmpfX1+sVitWq5XY2FgWLVpEVVUVR48edcQsXLiQ6Oho/Pz8GDp0KHl5ebS0tDiO79mzh8TERCwWCwEBAcTFxbFz506g/ZTvS8Ve6KabbuLNN99k0qRJDBs2jDvuuIP//M//5O233+bMmTNX5oaIiIiIiIiI23ncomQNDQ2sXbsWm81GcHCwY7/FYqGwsJCwsDD27dvH7NmzsVgsLFiwAID09HRGjRrFqlWrMJvNlJeX069fx6+ocia2I+eXivf27vj22u127Ha743N9fX2nyxYREREREbkkw+j5RcL66NuYPSKhLikpwd/fH4DGxkZCQ0MpKSnBy+tfA+y5ubmOnyMjI5k/fz5FRUWOhLqyspLs7GxiYmIAiIqKumh9zsRe6JtvvuGXv/wljzzyyEVjli1bxtKlSztdpnTs3eJCl5aXGn93t843/qH3SouIiIiI9CUeMeU7MTGR8vJyysvL2b59O+PHjyclJYXDhw87YtatW8dtt92G1WrF39+f3NxcKisrHcfnzZvHrFmzSEpK4sknn6SiouKi9TkT+1319fWkpqYyfPhw8vPzLxq3ePFi6urqHFtVVVWnyhcREREREZHewyMS6oEDB2Kz2bDZbMTHx7NmzRoaGxtZvXo1ANu2bSM9PZ0JEyZQUlLC7t27ycnJobm52VFGfn4++/fvJzU1lU2bNjF8+HDWr1/fYX3OxJ737bffkpycjMViYf369ZecIu7r60tAQECbTURERERExCUMwz1bH+QRCfWFTCYTXl5eNDU1AbB161YiIiLIyclh9OjRREVFtRm9Pi86OpqsrCzeffdd0tLSKCgouGgdzsTW19dz11134ePjwx/+8Af69+/f/YsUERERERGRXs0jnqG22+3U1NQAcOLECVauXElDQwOTJk0Czj3jXFlZSVFREfHx8WzcuLHNiHJTUxPZ2dlMmzaNIUOGcOTIEXbs2MHUqVPb1eVMLPwrmT516hRr166lvr7escjYtddei9lsdvXtEBERERERubjWVjD18Gus+uhrszwioS4tLSU0NBQ4t5p3TEwMxcXFJCQkADB58mSysrKYO3cudrud1NRU8vLyHM8xm81mjh07RkZGBrW1tYSEhJCWltbhwmDOxAJ88skn/PWvfwXAZrO1Ofbll18SGRnpmpsgIiIiIiIivYrJMProZPdepL6+nsDAQBKYgrep86/n6uve+brcpeWlxk/o1vln/vG1i1oiIiIiIu50xmhhC285XofrKc7nFXf634+3yadH6z5jNFPW8KrH3bPu8shnqEVERERERETcTQm1iIiIiIiISBf0+YS6sLCQoKAgdzdDRERERETEJYzWVrdsfVGvTqgzMzMxmUyOLTg4mOTkZPbu3euyOqZPn87Bgwe7fP5vfvMbEhISCAgIwGQycfLkSZe1TURERERERHqvXp1QAyQnJ1NdXU11dTVlZWV4e3szceJEl5U/YMAArrvuui6ff+rUKZKTk/nFL37hsjaJiIiIiIh0mWG4Z+uDen1C7evri9VqxWq1Ehsby6JFi6iqquLo0aOOmIULFxIdHY2fnx9Dhw4lLy+PlpYWx/E9e/aQmJiIxWIhICCAuLg4du7cCbSf8n2p2I489thjLFq0iB/96Eeuv3gRERERERHptTziPdTnNTQ0sHbtWmw2G8HBwY79FouFwsJCwsLC2LdvH7Nnz8ZisbBgwQIA0tPTGTVqFKtWrcJsNlNeXk6/fh2/nsqZ2K6y2+3Y7XbH5/r6epeWLyIiIiIiIlder0+oS0pK8Pf3B6CxsZHQ0FBKSkrw8vrX4Hpubq7j58jISObPn09RUZEjoa6srCQ7O5uYmBgAoqKiLlqfM7FdtWzZMpYuXeryct1t8mfHerS+5EnpLi3P+Md+l5YnIiIiIuIWrQaYengKtqZ8906JiYmUl5dTXl7O9u3bGT9+PCkpKRw+fNgRs27dOm677TasViv+/v7k5uZSWVnpOD5v3jxmzZpFUlISTz75JBUVFRetz5nYrlq8eDF1dXWOraqqyuV1iIiIiIiIyJXV6xPqgQMHYrPZsNlsxMfHs2bNGhobG1m9ejUA27ZtIz09nQkTJlBSUsLu3bvJycmhubnZUUZ+fj779+8nNTWVTZs2MXz4cNavX99hfc7EdpWvry8BAQFtNhEREREREZcwDDBae3jTCLVHMJlMeHl50dTUBMDWrVuJiIggJyeH0aNHExUV1Wb0+rzo6GiysrJ49913SUtLo6Cg4KJ1OBMrIiIiIiIifVOvf4babrdTU1MDwIkTJ1i5ciUNDQ1MmjQJOPeMc2VlJUVFRcTHx7Nx48Y2I8pNTU1kZ2czbdo0hgwZwpEjR9ixYwdTp05tV5czsefV1NRQU1PDoUOHANi3bx8Wi4XBgwdzzTXXuPJWiIiIiIiIXJbRamD08DPURh8doe71CXVpaSmhoaHAudW8Y2JiKC4uJiEhAYDJkyeTlZXF3LlzsdvtpKamkpeXR35+PgBms5ljx46RkZFBbW0tISEhpKWldbgomDOx57344ottjo8bNw6AgoICMjMzXXMTREREREREpNcxGX31Twm9SH19PYGBgSQwBW+Ta1/R1ZN6epXvtx8Y59LyjF1a5VtERERE4IzRwhbeoq6uzqPWOzqfVyR6T+vxvOKM0cLmM2943D3rrl4/Qi0iIiIiIiJOMFqBVjfU2fd43KJkIiIiIiIiIr2BEmqgsLCQoKAgdzdDRERERESk24xWwy1bX9TrE+rMzExMJpNjCw4OJjk5mb1797qsjunTp3Pw4MEun3/69GnmzJlDcHAw/v7+TJ06ldraWpe1T0RERERE5Gr0/PPPExkZSf/+/bnlllvYvn37JeOLi4uJiYmhf//+jBgxgj/+8Y891NKO9fqEGiA5OZnq6mqqq6spKyvD29ubiRMnuqz8AQMGcN1113X5/KysLN5++22Ki4v54IMP+Prrr0lLS3NZ+0RERERERK4269atY968eSxZsoRPPvmEkSNHMn78eP75z392GL9161ZmzJjBzJkz2b17N3fffTd33303n376aQ+3/F88IqH29fXFarVitVqJjY1l0aJFVFVVcfToUUfMwoULiY6Oxs/Pj6FDh5KXl0dLS4vj+J49e0hMTMRisRAQEEBcXBw7d+4E2k/5vlTsherq6njppZf41a9+xR133EFcXBwFBQVs3bqVv/zlL1fmhoiIiIiIiFyM0eqezUm/+tWvmD17Ng899BDDhw/nxRdfxM/Pj5dffrnD+GeffZbk5GSys7O58cYb+eUvf8nNN9/MypUru3vHuszjVvluaGhg7dq12Gw2goODHfstFguFhYWEhYWxb98+Zs+ejcViYcGCBQCkp6czatQoVq1ahdlspry8nH79Ol5K3pnYXbt20dLSQlJSkmNfTEwMgwcPZtu2bfzoRz9qd47dbsdutzs+19XVAXCGFvDgRw+aGs70aH1nztovH+QEw2i5fJCIiIiIXPXOcO7/Cz31DcPuyCvO37P6+vo2+319ffH19W0X39zczK5du1i8eLFjn5eXF0lJSWzbtq3DOrZt28a8efPa7Bs/fjwbNmzoZuu7ziMS6pKSEvz9/QFobGwkNDSUkpISvLz+NcCem5vr+DkyMpL58+dTVFTkSKgrKyvJzs4mJiYGgKioqIvW50xsTU0NPj4+7RY1GzRoEDU1NR2es2zZMpYuXdpu/59x7/z/7toS39M1ftTTFYqIiIhIH/Ltt98SGBjo7mZ0mo+PD1arlT/XuCev8Pf3Jzw8vM2+JUuWkJ+f3y72m2++4ezZswwaNKjN/kGDBnHgwIEOy6+pqekw/mJ5V0/wiIQ6MTGRVatWAXDixAleeOEFUlJS2L59OxEREcC5+ffPPfccFRUVNDQ0cObMmTYvFJ83bx6zZs3id7/7HUlJSdx7770MGzasw/qcie2KxYsXt/nLSmtrK8ePHyc4OBiTyeSyelwhPj6eHTt2eGx93S3P2fOdie9s7OXiLna8vr6e8PBwqqqq2vy34El6uv9diTq7U15XznV1H+xq/wP1wd5Qn74D1f/cXae+A9UH3Vlfd8ozDIO4uDjCwsJc1p6e0L9/f7788kuam5vdUr9hGO3ymY5Gp68mHpFQDxw4EJvN5vi8Zs0aAgMDWb16NU888QTbtm0jPT2dpUuXMn78eAIDAykqKuLpp592nJOfn8/999/Pxo0b+dOf/sSSJUsoKirinnvuaVefM7FWq5Xm5mZOnjzZZpS6trYWq9Xa4fV0NO2ht762y2w29+gvAVfX193ynD3fmfjOxl4u7nLHAwICPPYXeU/3vytRZ3fK68q5ru6D3e1/oD7ozvr0Haj+5+469R2oPujO+rpbno+PT5sZsZ6if//+9O/f393NuKyQkBDMZnO7tyNdKo+yWq1OxfcEz+shgMlkwsvLi6amJuDcam8RERHk5OQwevRooqKiOHz4cLvzoqOjycrK4t133yUtLY2CgoKL1tHZ2Li4OPr160dZWZlj3xdffEFlZSVjx47t5pW635w5czy6vu6W5+z5zsR3NvZycT39b9ST3HFtvakPduVcV/fBvtz/QN+B+g50L30H6jvQ3fQdeHX/+7qbj48PcXFxbfKo1tZWysrKLppHjR07tk08wHvvvefevMvo5R588EEjOTnZqK6uNqqrq43PPvvM+OlPf2qYTCZj8+bNhmEYxltvvWV4e3sbr732mnHo0CHj2WefNa655hojMDDQMAzDOHXqlDFnzhxj8+bNxldffWX8+c9/NoYNG2YsWLDAMAzDKCgo6HRsRx599FFj8ODBxqZNm4ydO3caY8eONcaOHXslb4vIZdXV1RmAUVdX5+6mSB+lPijupP4n7qY+KHJ5RUVFhq+vr1FYWGh89tlnxiOPPGIEBQUZNTU1hmEYxgMPPGAsWrTIEf/xxx8b3t7exvLly43PP//cWLJkidGvXz9j37597roEwyOmfJeWlhIaGgqcW807JiaG4uJiEhISAJg8eTJZWVnMnTsXu91OamoqeXl5joffzWYzx44dIyMjg9raWkJCQkhLS+twYTBnYs975pln8PLyYurUqdjtdsaPH88LL7zg8vsg4gxfX1+WLFly1T+3Ir2X+qC4k/qfuJv6oMjlTZ8+naNHj/L4449TU1NDbGwspaWljoXHKisr20y7v/XWW3n11VfJzc3lF7/4BVFRUWzYsIGbbrrJXZeAyTA8dC14ERERERERETfyyGeoRURERERERNxNCbWIiIiIiIhIFyihFhEREREREekCJdQiIiIiIiIiXaCEWkRERERERKQLlFCLCACnTp0iIiKC+fPnu7sp0secPHmS0aNHExsby0033cTq1avd3STpY6qqqkhISGD48OH88Ic/pLi42N1Nkj7mnnvu4Xvf+x7Tpk1zd1NExEl6bZaIAJCTk8OhQ4cIDw9n+fLl7m6O9CFnz57Fbrfj5+dHY2MjN910Ezt37iQ4ONjdTZM+orq6mtraWmJjY6mpqSEuLo6DBw8ycOBAdzdN+ogtW7bw7bff8sorr/DGG2+4uzki4gSNUIsIf/vb3zhw4AApKSnubor0QWazGT8/PwDsdjuGYaC/9UpPCg0NJTY2FgCr1UpISAjHjx93b6OkT0lISMBisbi7GSLSBUqoRXq5Dz/8kEmTJhEWFobJZGLDhg3tYp5//nkiIyPp378/t9xyC9u3b3eqjvnz57Ns2TIXtViuNj3RB0+ePMnIkSO5/vrryc7OJiQkxEWtl6tBT/TB83bt2sXZs2cJDw/vZqvlatGT/U9EPI8SapFerrGxkZEjR/L88893eHzdunXMmzePJUuW8MknnzBy5EjGjx/PP//5T0fM+WdTL9y+/vpr3nrrLaKjo4mOju6pSxIPc6X7IEBQUBB79uzhyy+/5NVXX6W2trZHrk08Q0/0QYDjx4+TkZHBb37zmyt+TeI5eqr/iYiHMkTEYwDG+vXr2+wbM2aMMWfOHMfns2fPGmFhYcayZcs6VeaiRYuM66+/3oiIiDCCg4ONgIAAY+nSpa5stlxFrkQfvNC///u/G8XFxd1pplzFrlQfPH36tHH77bcbv/3tb13VVLkKXcnvwM2bNxtTp051RTNFpAdphFrEgzU3N7Nr1y6SkpIc+7y8vEhKSmLbtm2dKmPZsmVUVVXx1VdfsXz5cmbPns3jjz9+pZosVxlX9MHa2lq+/fZbAOrq6vjwww+54YYbrkh75erjij5oGAaZmZnccccdPPDAA1eqqXIVckX/ExHPpoRaxIN98803nD17lkGDBrXZP2jQIGpqatzUKulLXNEHDx8+zO23387IkSO5/fbb+dnPfsaIESOuRHPlKuSKPvjxxx+zbt06NmzYQGxsLLGxsezbt+9KNFeuMq76PZyUlMS9997LH//4R66//nol4yIexNvdDRCR3iMzM9PdTZA+aMyYMZSXl7u7GdKH/fjHP6a1tdXdzZA+7P3333d3E0SkizRCLeLBQkJCMJvN7RZwqq2txWq1uqlV0peoD4q7qQ+KO6n/iYgSahEP5uPjQ1xcHGVlZY59ra2tlJWVMXbsWDe2TPoK9UFxN/VBcSf1PxHRlG+RXq6hoYFDhw45Pn/55ZeUl5dzzTXXMHjwYObNm8eDDz7I6NGjGTNmDCtWrKCxsZGHHnrIja2Wq4n6oLib+qC4k/qfiFySu5cZF5FL27x5swG02x588EFHzP/+7/8agwcPNnx8fIwxY8YYf/nLX9zXYLnqqA+Ku6kPijup/4nIpZgMwzB6NoUXERERERER8Xx6hlpERERERESkC5RQi4iIiIiIiHSBEmoRERERERGRLlBCLSIiIiIiItIFSqhFREREREREukAJtYiIiIiIiEgXKKEWERERERER6QIl1CIiIiIiIiJdoIRaRETEg2RmZmIymTCZTGzYsMGlZW/ZssVR9t133+3SskVERK5GSqhFRMStvpsgfnc7dOiQu5vWayUnJ1NdXU1KSopj38US7MzMzE4nx7feeivV1dXcd999LmqpiIjI1c3b3Q0QERFJTk6moKCgzb5rr722XVxzczM+Pj491axey9fXF6vV6vJyfXx8sFqtDBgwALvd7vLyRURErjYaoRYREbc7nyB+dzObzSQkJDB37lwee+wxQkJCGD9+PACffvopKSkp+Pv7M2jQIB544AG++eYbR3mNjY1kZGTg7+9PaGgoTz/9NAkJCTz22GOOmI5GdIOCgigsLHR8rqqq4r777iMoKIhrrrmGKVOm8NVXXzmOnx/9Xb58OaGhoQQHBzNnzhxaWlocMXa7nYULFxIeHo6vry82m42XXnoJwzCw2WwsX768TRvKy8uv2Aj9V1991eFsgISEBJfXJSIi0hcooRYRkV7tlVdewcfHh48//pgXX3yRkydPcscddzBq1Ch27txJaWkptbW1baYpZ2dn88EHH/DWW2/x7rvvsmXLFj755BOn6m1paWH8+PFYLBY++ugjPv74Y/z9/UlOTqa5udkRt3nzZioqKti8eTOvvPIKhYWFbZLyjIwMXnvtNZ577jk+//xzfv3rX+Pv74/JZOLhhx9uNzJfUFDAuHHjsNlsXbthlxAeHk51dbVj2717N8HBwYwbN87ldYmIiPQFmvItIiJuV1JSgr+/v+NzSkoKxcXFAERFRfHUU085jj3xxBOMGjWK//qv/3Lse/nllwkPD+fgwYOEhYXx0ksvsXbtWu68807gXFJ+/fXXO9WmdevW0draypo1azCZTMC5ZDcoKIgtW7Zw1113AfC9732PlStXYjabiYmJITU1lbKyMmbPns3Bgwd5/fXXee+990hKSgJg6NChjjoyMzN5/PHH2b59O2PGjKGlpYVXX3213ah1Z82YMQOz2dxmn91uJzU1FQCz2eyYKn769Gnuvvtuxo4dS35+fpfqExER6euUUIuIiNslJiayatUqx+eBAwc6fo6Li2sTu2fPHjZv3twmAT+voqKCpqYmmpubueWWWxz7r7nmGm644Qan2rRnzx4OHTqExWJps//06dNUVFQ4Pv/gBz9ok8SGhoayb98+4Nz0bbPZzE9+8pMO6wgLCyM1NZWXX36ZMWPG8Pbbb2O327n33nudaut5zzzzjCNxP2/hwoWcPXu2XezDDz/Mt99+y3vvvYeXlyasiYiIdIUSahERcbuBAwdedIrzd5NrgIaGBiZNmsR///d/t4sNDQ3t9LPHJpMJwzDa7Pvus88NDQ3ExcXx+9//vt25310wrV+/fu3KbW1tBWDAgAGXbcesWbN44IEHeOaZZygoKGD69On4+fl16houZLVa291Hi8XCyZMn2+x74okneOedd9i+fXu7PxiIiIhI5ymhFhERj3LzzTfz5ptvEhkZibd3+19jw4YNo1+/fvz1r39l8ODBAJw4cYKDBw+2GSm+9tprqa6udnz+29/+xqlTp9rUs27dOq677joCAgK61NYRI0bQ2trKBx980G7k+LwJEyYwcOBAVq1aRWlpKR9++GGX6uqsN998k//4j//gT3/6E8OGDbuidYmIiFztNMdLREQ8ypw5czh+/DgzZsxgx44dVFRU8M477/DQQw9x9uxZ/P39mTlzJtnZ2WzatIlPP/2UzMzMdtOa77jjDlauXMnu3bvZuXMnjz76aJvR5vT0dEJCQpgyZQofffQRX375JVu2bOHnP/85R44c6VRbIyMjefDBB3n44YfZsGGDo4zXX3/dEWM2m8nMzGTx4sVERUUxduxY19yoDnz66adkZGSwcOFCfvCDH1BTU0NNTQ3Hjx+/YnWKiIhczZRQi4iIRwkLC+Pjjz/m7Nmz3HXXXYwYMYLHHnuMoKAgR9L8P//zP9x+++1MmjSJpKQkfvzjH7d7Fvvpp58mPDyc22+/nfvvv5/58+e3mWrt5+fHhx9+yODBg0lLS+PGG29k5syZnD592qkR61WrVjFt2jR++tOfEhMTw+zZs2lsbGwTM3PmTJqbm3nooYe6cWcub+fOnZw6dYonnniC0NBQx5aWlnZF6xUREblamYwLHyATERG5CiUkJBAbG8uKFSvc3ZR2PvroI+68806qqqoYNGjQJWMzMzM5efJku3dou1JP1CEiInI10Ai1iIiIm9jtdo4cOUJ+fj733nvvZZPp886/ZqykpMSl7fnoo4/w9/fvcCE2ERERaU+LkomIiLjJa6+9xsyZM4mNjeW3v/1tp8556qmnyM3NBc6tau5Ko0ePpry8HKDD15KJiIhIW5ryLSIiIiIiItIFmvItIiIiIiIi0gVKqEVERERERES6QAm1iIiIiIiISBcooRYRERERERHpAiXUIiIiIiIiIl2ghFpERERERESkC5RQi4iIiIiIiHSBEmoRERERERGRLlBCLSIiIiIiItIF/x9Nrv9VL3XDBQAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"f, periodogram_a, true_psd = generate_data(OBS_TIME, DT)\n", | |
"log_f, log_pdgrm, log_true = np.log(f), np.log(periodogram_a), np.log(true_psd)\n", | |
"spline_fit, knots = generate_spline_fit(log_f, log_pdgrm)\n", | |
"fig = plot_periodogram_and_spline(log_f, log_pdgrm, log_true, spline_fit, knots)\n", | |
"plt.xscale('linear')\n", | |
"plt.yscale('linear')\n", | |
"plt.xlim(-8, -0.75)\n", | |
"fig.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 422 | |
}, | |
"id": "09-e8PCTrhVn", | |
"outputId": "8090a475-c7b9-48d6-f41d-8713b140b743" | |
}, | |
"execution_count": 21, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"<ipython-input-17-6251d9f8bc0f>:74: UserWarning: Data has no positive values, and therefore cannot be log-scaled.\n", | |
" plt.xscale('log')\n", | |
"<ipython-input-17-6251d9f8bc0f>:75: UserWarning: Data has no positive values, and therefore cannot be log-scaled.\n", | |
" plt.yscale('log')\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1000x600 with 1 Axes>" | |
], | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA+oAAAE8CAYAAABXZkvJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAADrGUlEQVR4nOzdd3xT5f4H8E+SJunee9LSDZQNlikbZIOiOAAH/gS8bq/7uu6Vq168OK6CIqDIFBCQUUahFEqlBQpt6aS7dM90Jc36/RHOMSerSVuG8H2/Xnk14+TkSZpxvs/zfb4PT61Wq0EIIYQQQgghhJA7Av92N4AQQgghhBBCCCF/okCdEEIIIYQQQgi5g1CgTgghhBBCCCGE3EEoUCeEEEIIIYQQQu4gFKgTQgghhBBCCCF3EArUCSGEEEIIIYSQOwgF6oQQQgghhBBCyB3E6nY34K9GpVKhoqICDg4O4PF4t7s5hBBCCCGEEEL+ItRqNVpaWuDr6ws+3/i4OQXqFqqoqEBAQMDtbgYhhBBCCCGEkL+osrIy+Pv7G72dAnULOTg4ANC8sI6Ojre5NYQQQgghhBBC/iokEgkCAgLYuNIYCtQtxKS7Ozo6UqBOCCGEEEIIIcRiXU2jpmJyhBBCCCGEEELIHYQCdUIIIYQQQggh5A5CgTohhBBCCCGEEHIHoTnqhBBCCCGEEGIBpVIJuVx+u5tB7kBCoRACgaDH+6FAnRBCCCGEEELMoFarUVVVhaamptvdFHIHc3Z2hre3d5cF40yhQJ0QQgghhBBCzMAE6Z6enrC1te1RIEbuPmq1Gu3t7aipqQEA+Pj4dHtfFKgTQgghhBBCSBeUSiUbpLu5ud3u5pA7lI2NDQCgpqYGnp6e3U6Dp2JyhBBCCCGEENIFZk66ra3tbW4JudMx75Ge1DGgQJ0QQgghhBBCzETp7qQrvfEeoUCdEEIIIYQQQgi5g1CgTgghhBBCCCGE3EEoUCeEEEIIIYQQYpFly5Zh3rx5PdpHQkICeDweLXdnAAXqhBBCCCGEEHIXW7ZsGXg8Hng8HkQiEUJDQ/HRRx9BoVB0e59ffvklNm/e3HuNJBy0PBshhBBCCCGE3OWmT5+OTZs2QSaT4fDhw1i1ahWEQiHeeusti/ajVCrB4/Hg5OR0k1ra++RyOYRC4e1uhkVoRJ0QQgghhBBCukGtVqOzs/OWn9RqtcVtFYvF8Pb2RlBQEFasWIHJkyfjwIEDkMlkeO211+Dn5wc7OzuMHDkSCQkJ7P02b94MZ2dnHDhwANHR0RCLxSgtLdVLfZfJZHjhhRfg6ekJa2trjBkzBqmpqZw2HD58GOHh4bCxscGECRNQXFys1849e/agX79+EIvF6NOnD9asWcO5vbKyEjNnzoSNjQ2Cg4Oxbds29OnTB2vXrmW34fF4+O677zBnzhzY2dnhX//6F5RKJZ5++mkEBwfDxsYGERER+PLLLzn7Zp7TJ598Ai8vLzg7O7OZB6+//jpcXV3h7++PTZs2Wfz6W4pG1AkhhBBCCCGkG+RyOT755JNb/rhvv/02RCJRj/ZhY2OD+vp6PP/888jKysKOHTvg6+uL3377DdOnT0dGRgbCwsIAAO3t7fj000+xYcMGuLm5wdPTU29/f//737Fnzx789NNPCAoKwmeffYZp06bh2rVrcHV1RVlZGRYsWIBVq1bh2WefxYULF/Dqq69y9nHx4kUsWrQIH3zwAR5++GGcO3cOK1euhJubG5YtWwYAWLJkCerq6pCQkAChUIhXXnkFNTU1eu354IMP8O9//xtr166FlZUVVCoV/P398euvv8LNzQ3nzp3Ds88+Cx8fHyxatIi938mTJ+Hv74/ExEQkJSXh6aefxrlz5zBu3DicP38eO3fuxP/93/9hypQp8Pf379H/wBQK1AkhhBBCCCHkHqFWqxEfH4+jR49i8eLF2LRpE0pLS+Hr6wsAeO211xAXF4dNmzaxnRByuRzffvstBg4caHCfbW1t+O6777B582bMmDEDAPDDDz/g+PHj+PHHH/H666/ju+++Q9++fdkR8oiICGRkZODTTz9l9/PFF19g0qRJeO+99wAA4eHhyMrKwueff45ly5YhJycHJ06cQGpqKoYNGwYA2LBhA9uhoO3RRx/Fk08+ybnuww8/ZM8HBwcjOTkZu3bt4gTqrq6u+Oqrr8Dn8xEREYHPPvsM7e3tePvttwEAb731Fv7973/j7NmzeOSRRyx45S1DgTohhBBCCCGEdINQKGQDuFv9uJY6ePAg7O3tIZfLoVKp8Oijj+LBBx/E5s2bER4eztlWJpPBzc2NvSwSiRATE2N03wUFBZDL5Rg9ejSnjSNGjEB2djYAIDs7GyNHjuTcLzY2lnM5Ozsbc+fO5Vw3evRorF27FkqlErm5ubCyssKQIUPY20NDQ+Hi4qLXJiaQ1/a///0PGzduRGlpKTo6OtDZ2YlBgwZxtunXrx/4/D9niHt5eaF///7sZYFAADc3N4Oj+L2JAnVCCCGEEEII6QamivpfwYQJE/Ddd99BJBLB19cXVlZW2LlzJwQCAS5evAiBQMDZ3t7enj1vY2MDHo93q5vcI3Z2dpzLO3bswGuvvYY1a9YgNjYWDg4O+Pzzz3H+/HnOdrqdIDwez+B1KpXq5jT8BgrUCSGEEEIIIeQuZ2dnh9DQUM51gwcPhlKpRE1NDcaOHdvtffft2xcikQhJSUkICgoCoEmXT01NxUsvvQQAiIqKwoEDBzj3++OPPziXo6KikJSUxLkuKSkJ4eHhEAgEiIiIgEKhQFpaGoYOHQoAuHbtGhobG7tsY1JSEkaNGoWVK1ey1xUUFFj8XG+Vu6bqe0JCArs2oO6JqTZYXFxs8HbdNwghhBBCCCGE3O3Cw8Px2GOPYcmSJdi7dy+KioqQkpKC1atX49ChQ2bvx87ODitWrMDrr7+OuLg4ZGVlYfny5Whvb8fTTz8NAHjuueeQn5+P119/Hbm5udi2bZveOuyvvvoq4uPj8fHHHyMvLw8//fQTvvnmG7z22msAgMjISEyePBnPPvssUlJSkJaWhmeffdasEf+wsDBcuHABR48eRV5eHt577z29qvR3krsmUB81ahQqKys5p2eeeQbBwcF68xNOnDjB2Y7pjSGEEEIIIYSQe8mmTZuwZMkSvPrqq4iIiMC8efOQmpqKwMBAi/bz73//GwsXLsQTTzyBIUOG4Nq1azh69Cg7fzwwMBB79uzBvn37MHDgQKxbt06vYv6QIUOwa9cu7NixA/3798c//vEPfPTRR2zFdwD4+eef4eXlhXHjxmH+/PlYvnw5HBwcYG1tbbJ9//d//4cFCxbg4YcfxsiRI1FfX88ZXb/T8NTdWYTvL0Aul8PPzw9/+9vf2KqBxcXFCA4ORlpaml7RAHNJJBI4OTmhubkZjo6OvdhiQgghhBBCyJ1KKpWiqKgIwcHBXQaF5NYpLy9HQEAATpw4gUmTJt3u5gAw/V4xN568a+eoHzhwAPX19Xol+QFgzpw5kEqlCA8Px9///nfMmTPH6H5kMhlkMhl7WSKR3JT2EkIIIYQQQggx7eTJk2htbcWAAQNQWVmJv//97+jTpw/GjRt3u5vWq+6a1HddP/74I6ZNm8ZZhN7e3h5r1qzBr7/+ikOHDmHMmDGYN2+eXlEDbatXr4aTkxN7CggIuBXNJ4QQQgghhBCiQy6X4+2330a/fv0wf/58eHh4ICEhoVtL1t3J7vjU9zfffBOffvqpyW2ys7MRGRnJXi4vL0dQUBB27dqFhQsXmrzvkiVLUFRUhDNnzhi83dCIekBAAKW+E0IIIYQQcg+h1Hdirnsi9f3VV1/lFA8wJCQkhHN506ZNcHNzM5nSzhg5ciSOHz9u9HaxWAyxWGxWWwkhhBBCCCGEkJ664wN1Dw8PeHh4mL29Wq1mKxeak/5w+fJl+Pj49KSJhBBCCCGEEEJIr7njA3VLnTx5EkVFRXjmmWf0bvvpp58gEokwePBgAMDevXuxceNGbNiw4VY3kxBCCCGEEEIIMeiuC9R//PFHjBo1ijNnXdvHH3+MkpISWFlZITIyEjt37sSDDz54i1tJCCGEEEIIIYQYdtcF6tu2bTN629KlS7F06dJb2BpCCCGEEEIIIcQyd+3ybIQQQgghhBBCyF8RBeqEEEIIIYQQcpfi8XgmTx988MEta8v999/PPq61tTWio6Px7bffsrcrlUr8+9//RmRkJGxsbODq6oqRI0dyaootW7aM3YdQKISXlxemTJmCjRs3QqVS3bLncrPddanvhBBCCCGEEEI0Kisr2fM7d+7EP/7xD+Tm5rLX2dvbs+fVajWUSiWsrG5emLh8+XJ89NFHaG9vx88//4xVq1bBxcUFixcvxocffoj169fjm2++wbBhwyCRSHDhwgU0NjZy9jF9+nRs2rQJSqUS1dXViIuLw4svvojdu3fjwIEDN7X9t8pf/xkQQgghhBBCyC2mUqlQX19/2x7fzc0NfH7XCdLe3t7seScnJ/B4PPa6hIQETJgwAYcPH8a7776LjIwMHDt2DJs3b0ZTUxP27dvH3vell17C5cuXkZCQAEDz/D/99FN8//33qKqqQnh4ON57770uC3Xb2tqyj//BBx9g27ZtOHDgABYvXowDBw5g5cqVeOihh9jtBw4cqLcPsVjM7sPPzw9DhgzBfffdh0mTJmHz5s0GVwD7q6FAnRBCCCGEEEIsVF9fD09Pz9v2+DU1NfDw8OiVfb355pv4z3/+g5CQELi4uJh1n9WrV+OXX37BunXrEBYWhsTERDz++OPw8PDA+PHjzX5sGxsbdHZ2AtB0Kpw8eRIrV660+LlNnDgRAwcOxN69eylQJ4QQQgghhBDy1/bRRx9hypQpZm8vk8nwySef4MSJE4iNjQUAhISE4OzZs1i/fr1ZgbpSqcT27duRnp6OZ599FgDwxRdf4MEHH4S3tzf69euHUaNGYe7cuZgxY4ZZ7YqMjER6errZz+NORoE6IYQQQgghhNzDhg0bZtH2165dQ3t7u15w39nZicGDB5u877fffosNGzags7MTAoEAL7/8MlasWAEAiI6ORmZmJi5evIikpCQkJiZi9uzZWLZsGaegnDFqtRo8Hs+i53KnokCdEEIIIYQQQu5hdnZ2nMt8Ph9qtZpznVwuZ8+3trYCAA4dOgQ/Pz/OdmKx2ORjPfbYY3jnnXdgY2MDHx8fvXn2fD4fw4cPx/Dhw/HSSy/hl19+wRNPPIF33nkHwcHBJvednZ3d5TZ/FRSoE0IIIYQQQoiF3NzcUFNTc1sf/2bx8PBAZmYm57rLly9DKBQC0Ix8i8VilJaWWjQfHdAUtAsNDTV7++joaABAW1ubye1OnjyJjIwMvPzyyxa1505FgTohhBBCCCGEWIjP5/daMbc7zcSJE/H555/j559/RmxsLH755RdkZmayae0ODg547bXX8PLLL0OlUmHMmDFobm5GUlISHB0dsXTp0m497oMPPojRo0dj1KhR8Pb2RlFREd566y2Eh4cjMjKS3U4mk6GqqoqzPNvq1asxa9YsLFmypFdeg9uNAnVCCCGEEEIIIaxp06bhvffew9///ndIpVI89dRTWLJkCTIyMthtPv74Y3h4eGD16tUoLCyEs7MzhgwZgrfffrtHj7t9+3asXr0azc3N8Pb2xsSJE/HBBx9w1kaPi4uDj48PrKys4OLigoEDB+Krr77C0qVLzVqy7q+Ap9adfEBMkkgkcHJyQnNzMxwdHW93cwghhBBCCCG3gFQqRVFREYKDg2FtbX27m0PuYKbeK+bGk3dHdwMhhBBCCCGEEHKXoECdEEIIIYQQQgi5g5g1R10ikVi8Y0oLJ4QQQgghhBBCLGdWoO7s7GzRwvE8Hg95eXkICQnpdsMIIYQQQgghhJB7kdlV33fv3g1XV9cut1Or1XjggQd61ChCCCGEEEIIIeReZVagHhQUhHHjxsHNzc2snYaEhEAoFPaoYYQQQgghhBBCyL3IrEC9qKjIop1mZmZ2qzGEEEIIIYQQQsi9zuKq76WlpZDJZHrXq1QqlJaW9kqjCCGEEEIIIYSQe5XFgXqfPn0wZMgQFBQUcK6vra1FcHBwrzWMEEIIIYQQQgi5F3VrHfWoqCiMGDEC8fHxnOvVanWvNIoQQgghhBBCyJ2huLgYPB4Ply9fBgAkJCSAx+OhqanptrbrbmZxoM7j8fDtt9/i3XffxcyZM/HVV19xbiOEEEIIIYQQcueora3FihUrEBgYCLFYDG9vb0ybNg1JSUnd2t+oUaNQWVkJJyenXm4pYZi9PBuDGTV/+eWXERkZicWLFyMjIwP/+Mc/er1xhBBCCCGEEEJ6ZuHChejs7MRPP/2EkJAQVFdXIz4+HvX19d3an0gkgre3dy+3kmjrVuo7Y8aMGTh37hxOnTqFWbNm9VabCCGEEEIIIYT0gqamJpw5cwaffvopJkyYgKCgIIwYMQJvvfUW5syZA0CTGf3dd99hxowZsLGxQUhICHbv3m10n7qp75s3b4azszOOHj2KqKgo2NvbY/r06aisrOTcb8OGDYiKioK1tTUiIyPx7bff3rTn/VdncaA+fvx4iEQi9nJ0dDTOnz8PZ2fn2z5HPS8vD3PnzoW7uzscHR0xZswYnDp1irNNaWkpZs6cCVtbW3h6euL111+HQqG4TS0mhBBCCCGEkJvH3t4e9vb22Ldvn8HVuxjvvfceFi5ciCtXruCxxx7DI488guzsbLMfp729Hf/5z3+wZcsWJCYmorS0FK+99hp7+9atW/GPf/wD//rXv5CdnY1PPvkE7733Hn766acePb+7lcWp77qBLwC4ubnh9OnTvdKgnpg1axbCwsJw8uRJ2NjYYO3atZg1axYKCgrg7e0NpVKJmTNnwtvbG+fOnUNlZSWWLFkCoVCITz755HY3nxBCCCGEEPJX094O5OTc2seMjARsbc3a1MrKCps3b8by5cuxbt06DBkyBOPHj8cjjzyCmJgYdruHHnoIzzzzDADg448/xvHjx/H111+bPeotl8uxbt069O3bFwDw/PPP46OPPmJvf//997FmzRosWLAAABAcHIysrCysX78eS5cuNesx7iVmB+oSicSs7RwdHbvdmJ6oq6tDfn4+fvzxR/YN9+9//xvffvstMjMz4e3tjWPHjiErKwsnTpyAl5cXBg0ahI8//hhvvPEGPvjgA06mACGEEEIIIYR0KScHGDr01j7mxYvAkCFmb75w4ULMnDkTZ86cwR9//IEjR47gs88+w4YNG7Bs2TIAQGxsLOc+sbGxbJV3c9ja2rJBOgD4+PigpqYGANDW1oaCggI8/fTTWL58ObuNQqGggnRGmB2oOzs7m6zqrlarwePxoFQqe6VhlnJzc0NERAR+/vlnDBkyBGKxGOvXr4enpyeG3vjgJCcnY8CAAfDy8mLvN23aNKxYsQJXr17F4MGD9fYrk8k4KSLmdlgQQgghhBBC7gGRkZrA+VY/poWsra0xZcoUTJkyBe+99x6eeeYZvP/++2yg3lNCoZBzmcfjsVOjW1tbAQA//PADRo4cydlOIBD0yuPfbcwO1LVT3tVqNR544AFs2LABfn5+N6VhluLxeDhx4gTmzZsHBwcH8Pl8eHp6Ii4uDi4uLgCAqqoqTpAOgL1cVVVlcL+rV6/Ghx9+eHMbTwghhBBCCPlrsrW1aHT7ThEdHY19+/axl//44w8sWbKEc9nQQGZ3eHl5wdfXF4WFhXjsscd6ZZ93O7MD9fHjx3MuCwQC3HfffQgJCen1Rml788038emnn5rcJjs7GxEREVi1ahU8PT1x5swZ2NjYYMOGDZg9ezZSU1Ph4+PTrcd/66238Morr7CXJRIJAgICurUvQgghhBBCCLmV6uvr8dBDD+Gpp55CTEwMHBwccOHCBXz22WeYO3cuu92vv/6KYcOGYcyYMdi6dStSUlLw448/9lo7PvzwQ7zwwgtwcnLC9OnTIZPJcOHCBTQ2NnLiLaJhcTG5W+3VV1/tMh0jJCQEJ0+exMGDB9HY2MjOk//2229x/Phx/PTTT3jzzTfh7e2NlJQUzn2rq6sBwOg6gGKxGGKxuOdPhBBCCCGEEEJuMXt7e4wcORL//e9/UVBQALlcjoCAACxfvhxvv/02u92HH36IHTt2YOXKlfDx8cH27dsRHR3da+145plnYGtri88//xyvv/467OzsMGDAALz00ku99hh3kzs+UPfw8ICHh0eX27W3twMA+HzuinN8Ph8qlQqApiDCv/71L9TU1MDT0xMAcPz4cTg6Ovbqm5AQQgghhBBC7gRisRirV6/G6tWrTW7n6+uLY8eOGbytT58+nKW477//fs7lZcuW6Q2uzps3T2/57kcffRSPPvqohc/g3mTxOuraTBWXu9ViY2Ph4uKCpUuX4sqVK8jLy8Prr7+OoqIizJw5EwAwdepUREdH44knnsCVK1dw9OhRvPvuu1i1ahWNmhNCCCGEEEIIuSOYPaLOrHfHkEqleO6552BnZ8e5fu/evb3TMgu5u7sjLi4O77zzDiZOnAi5XI5+/fph//79GDhwIADNvPqDBw9ixYoViI2NhZ2dHZYuXcpZ348QQgghhBBCCLmdzA7UHR0dOSPojz/++E1pUE8MGzYMR48eNblNUFAQDh8+fItaRAghhBBCCCF3Nt0UdXL7mR2ob968+SY2gxBCCCGEEEIIIYAFc9QDAwPx/PPP4/jx41AoFDezTYQQQgghhBBCyD3L7EB9y5YtEIvFWLlyJdzd3fHwww9j69ataGpquonNI4QQQgghhBBC7i1mB+rjx4/HmjVrkJ+fj6SkJAwaNAhff/01vL29MXHiRKxduxaFhYU3s62EEEIIIYQQQshdr1vLs/Xr1w9vvfUW/vjjDxQXF2Px4sWIj49H//790b9/fxw6dKi320kIIYQQQgghhNwTzC4mZ4y3tzeWL1+O5cuXo729HUePHqU1yQkhhBBCCCGEkG7qcaDOUCgUqKurw/z583trl4QQQgghhBBCyD2nW6nvhly9ehXBwcG9tTtCCCGEEEIIIb1g2bJlmDdvHue63bt3w9raGmvWrOmVx/jggw8waNCgXtkX6cURdUIIIYQQQgghZlAqgTNngMpKwMcHGDsWEAhu2cNv2LABq1atwrp16/Dkk0/esscl5jM7UB8yZIjJ2zs6OnrcGEIIIYQQQgi5q+3dC7z4IlBe/ud1/v7Al18CCxbc9If/7LPP8P7772PHjh3stOX7778fMTExsLa2xoYNGyASifDcc8/hgw8+YO9XWlqKv/3tb4iPjwefz8f06dPx9ddfw8vLC5s3b8aHH34IAODxeACATZs2YenSpfjwww+xceNGVFdXw83NDQ8++CC++uqrm/48/+rMDtSzsrLwyCOPGE1vr6ysRF5eXq81jBBCCCGEEELuKnv3Ag8+CKjV3OuvX9dcv3v3TQ3W33jjDXz77bc4ePAgJk2axLntp59+wiuvvILz588jOTkZy5Ytw+jRozFlyhSoVCrMnTsX9vb2OH36NBQKBVatWoWHH34YCQkJePjhh5GZmYm4uDicOHECAODk5IQ9e/bgv//9L3bs2IF+/fqhqqoKV65cuWnP725idqDev39/jBw5EitWrDB4++XLl/HDDz/0WsMIIYQQQggh5K6hVGpG0nWDdEBzHY8HvPQSMHfuTUmDP3LkCPbv34/4+HhMnDhR7/aYmBi8//77AICwsDB88803iI+Px5QpUxAfH4+MjAwUFRUhICAAAPDzzz+jX79+SE1NxfDhw2Fvbw8rKyt4e3uz+ywtLYW3tzcmT54MoVCIwMBAjBgxotef293I7GJyo0ePRm5urtHbHRwcMG7cuF5pFCGEEEIIIYTcVc6c4aa761KrgbIyzXY3QUxMDPr06YP3338fra2tBm/X5uPjg5qaGgBAdnY2AgIC2CAdAKKjo+Hs7Izs7Gyjj/nQQw+ho6MDISEhWL58OX777TcoFIpeekZ3N7MD9S+//BJr1641envfvn1x6tSp3mgTIYQQQgghhNxdKit7dzsL+fn5ISEhAdevX8f06dPR0tLCuV0oFHIu83g8qFSqHj1mQEAAcnNz8e2338LGxgYrV67EuHHjIJfLe7Tfe0GvLc9GCCGEEEIIIcQIH5/e3a4bgoKCcPr0aVRVVRkM1o2JiopCWVkZysrK2OuysrLQ1NSE6OhoAIBIJIJSqdS7r42NDWbPno2vvvoKCQkJSE5ORkZGRu88obuYWYF6enq6Rb0pV69epZQGQgghhBBCCGGMHaup7n6jKroeHg8ICNBsdxMFBAQgISEBNTU1mDZtGiQSSZf3mTx5MgYMGIDHHnsMly5dQkpKCpYsWYLx48dj2LBhAIA+ffqgqKgIly9fRl1dHWQyGTZv3owff/wRmZmZKCwsxC+//AIbGxsEBQXd1Od4NzArUB88eDDq6+vN3mlsbCxKS0u73ShCCCGEEEIIuasIBJol2AD9YJ25vHbtLVlP3d/fHwkJCairqzMrWOfxeNi/fz9cXFwwbtw4TJ48GSEhIdi5cye7zcKFCzF9+nRMmDABHh4e2L59O5ydnfHDDz9g9OjRiImJwYkTJ/D777/Dzc3tZj/FvzyeWm2o7CAXn8/Hs88+C1tbW7N2+u233yIrKwshISE9buCdRiKRwMnJCc3NzXB0dLzdzSGEEEIIIYTcAlKpFEVFRQgODoa1tXX3d2RoHfWAAE2QfgvWUSc3n6n3irnxpFnLs40bN85kxXddsbGxsLGxMXt7QgghhBBCCLknLFigWYLtzBlN4TgfH026+y0YSSd/HWYF6gkJCTe5GYQQQgghhBByjxAIgPvvv92tIHcwqvpOCCGEEEIIIYTcQShQJ4QQQgghhBBC7iAUqBNCCCGEEEKImcyoxU3ucb3xHqFAnRBCCCGEEEK6IBQKAQDt7e23uSXkTse8R5j3THeYVUxOW1tbG+zs7Lr9gIQQQgghhBDyVyMQCODs7IyamhoAgK2tLXi666GTe5parUZ7eztqamrg7OwMQQ8q+VscqHt5eWHRokV46qmnMGbMmG4/MCGEEEIIIYT8lXh7ewMAG6wTYoizszP7XukuiwP1X375BZs3b8bEiRPRp08fPPXUU1iyZAl8fX171JDekJeXh9dffx1JSUno7OxETEwMPv74Y0yYMIHdxlCv1/bt2/HII4/cyqYSQgghhBBC/mJ4PB58fHzg6ekJuVx+u5tD7kBCobBHI+kMnrqbM91ra2uxZcsWbN68GdnZ2Zg2bRqeeuopzJkzB1ZWFsf/vSI8PBxhYWFYvXo1bGxssHbtWmzevBkFBQVsjwaPx8OmTZswffp09n7Ozs6wtrY26zEkEgmcnJzQ3NwMR0fHm/I8CCGEEEIIIYTcfcyNJ7sdqGv7+uuv8frrr6OzsxPu7u547rnn8Oabb8LW1ranuzZbXV0dPDw8kJiYiLFjxwIAWlpa4OjoiOPHj2Py5MkANIH6b7/9hnnz5pm1X5lMBplMxl6WSCQICAigQJ0QQgghhBBCiEXMDdS7XfW9uroan332GaKjo/Hmm2/iwQcfRHx8PNasWYO9e/eaHQj3Fjc3N0RERODnn39GW1sbFAoF1q9fD09PTwwdOpSz7apVq+Du7o4RI0Zg48aNJsvnr169Gk5OTuwpICDgZj8VQgghhBBCCCH3MItz1Pfu3YtNmzbh6NGjiI6OxsqVK/H444/D2dmZ3WbUqFGIiorqzXZ2icfj4cSJE5g3bx4cHBzA5/Ph6emJuLg4uLi4sNt99NFHmDhxImxtbXHs2DGsXLkSra2teOGFFwzu96233sIrr7zCXmZG1AkhhBBCCCGEkJvB4kD9ySefxCOPPIKkpCQMHz7c4Da+vr545513etw4AHjzzTfx6aefmtwmOzsbERERWLVqFTw9PXHmzBnY2Nhgw4YNmD17NlJTU+Hj4wMAeO+999j7DR48GG1tbfj888+NBupisRhisbhXnos54uPj0dLSgjlz5oDPp2XuCSGEEEIIIeReY/Ec9fb29ls697y2thb19fUmtwkJCcGZM2cwdepUNDY2cnL9w8LC8PTTT+PNN980eN9Dhw5h1qxZkEqlZgXkN7OYXG5uLrZv3w4AeOKJJ9C3b99e3T8hhBBCCCGEkNvH3HjS4hF1BwcHVFZWwtPTk3N9fX09PD09oVQqLW+tCR4eHvDw8Ohyu/b2dgDQG4Xm8/lQqVRG73f58mW4uLhYPGr+9ttvY/jw4RgwYACio6PNrhpvjFwux5EjR9jLubm5FKgTQgghhBBCyD3I4kDd2AC8TCaDSCTqcYO6KzY2Fi4uLli6dCn+8Y9/wMbGBj/88AOKioowc+ZMAMDvv/+O6upq3HfffbC2tsbx48fxySef4LXXXrP48f73v/+x5wUCAcLDwxETE4MBAwYgJiYGMTExCAwMNLhuuyFnzpxBU1MTBAIBlEolcnNzMWPGDLPvfzvV1dWhpaUFwcHBt7sphBBCCCGEEPKXZ3ag/tVXXwHQFG3bsGED7O3t2duUSiUSExMRGRnZ+y00k7u7O+Li4vDOO+9g4sSJkMvl6NevH/bv34+BAwcC0Cw+/7///Q8vv/wy1Go1QkND8cUXX2D58uU9emylUons7GxkZ2dj586d7PWOjo6cwH3AgAEYMGCAXopDXV0dkpKSAADz5s3DgQMH0NzcjOrqanb99+5Sq9VQKBQQCoU92o8p27dvR0NDA/72t7/B1dX1pj0OIYQQQgghhNwLzJ6jzoyWlpSUwN/fHwKBgL1NJBKhT58++OijjzBy5Mib09I7BDOnoCf69OmD/v37o1+/foiOjkZxcTFkMhn69euHxYsXY+fOncjJycH999+P+++/v1uPoVarcfXqVRw5cgRCoRDPPfdcj9PzjfnnP/8JhUKBhQsXYsCAATflMQghhBBCCCHkr67X56gXFRUBACZMmIC9e/dyljy7F02dOhUFBQUoKCiw+L7FxcUoLi7GwYMH2et4PB6Cg4Oxa9cuuLm5oampCUqlErGxsRbPn5dIJDh06BByc3PZ63JycjBo0CCL29oVhUIBhUIBAKiqqqJAnRBCCCGEEEJ6yOI56qdOnboZ7fjLWbJkCR577DG0trYiMzMTGRkZSE9PZ09NTU0W7U+tVqOwsBCFhYXsdXv37sXq1asRGhqKfv36saf+/fsjLCzMYE2A0tJSbNu2DVKpFAKBAD4+PigvL0dmZuZNCdSlUil7vqqqqtf3TwghhBBCCCH3GrMC9VdeeQUff/wx7Ozs8Morr5jc9osvvuiVht3psrOz0d7eDnt7e9x3332477772NvUajWuX7/OCdwzMjKQk5PDjj6biyksl5ubi71797LXW1lZITw8nBPA29nZISUlBWq1Gr6+vpg/fz74fD6+/vprFBYW3pSl9bQD9erq6l7dNyGEEEIIIYTci8wK1NPS0iCXy9nzxvwVKpT3FqVSibS0NIwePVrvNh6PB39/f/j7++OBBx5gr5fJZMjJycHZs2exe/duVFRUoLGxEbW1tRY/vkKhQFZWFrKysvDrr7+y1/P5fHh5eWH48OEoKipCVFQUpFIpeDwesrOzMXTo0O49YSO0A/XW1la0trZyCg32JpVKpbf8HiGEEEIIIYTcbcwuJkc0mMn/b775Jry8vPDCCy9YFDy2trbi+++/h0QigZ+fH5YuXQq5XI7s7GxcvXoVV69eZVPpy8vLe7XtLi4uGDJkCKKiohAVFYXIyEhERUXB29u7250s165dwy+//MJefvzxxxEaGtpbTWYdOXIE6enpeO6553pczI8QQgghhBBCbodeLyZn6oFOnjyJyMjI27o82632/DffQObhAcmFC3COjQVCQ4GQECAoCDCxnnx6ejokEgnc3Nzw2GOPQSQSQSQSYdiwYRg2bBhn288//xy5ubkICgpCU1MTG8Rfv369W21ubGxEfHw84uPjOdc7OTmxQTvzNyoqCsHBwbCyMv0W0R5RBzTz1HsSqBcWFsLe3h6enp6c6/Py8tDR0YH8/Hy914kQQgghhBBC7iYWB+qLFi3CuHHj8Pzzz6OjowPDhg1DcXEx1Go1duzYgYULF96Mdt5xamfMgCgzE0hIAHbtAm5MDQCfDwQEAH37agL3vn0558vKygAAgwcP7nK++MCBA9HW1obIyEg89NBD7PVNTU3IyspCSkoKdu/ejcrKSjQ0NFhcwI7R3NyM8+fP4/z585zrhUIhQkJCEBUVhfDwcM7J09MTPB5PL1DvyTz1xsZGbNmyBba2tnj55ZfZTgK1Wo3W1lYAwPXr1zFs2DBIJBKUlpaiX79+99SUC0IIIYQQQsjdz+JAPTExEe+88w4A4LfffoNarUZTUxN++ukn/POf/7xnAnXnzz7D5s2bwePx8LcVK+Da3g4UFACFhZq/BQXApUvAr78Czc3s/ebY2GCMiwucz58HIiKAwEBNYB8QoDnv5QXcWKN+wIABOHfuHHJycjhzv52dnTF48GBcvHgRkydPhq+vL5YtW4b29nbk5OQgJycH2dnZ7N+CggKoVCqLn6NcLmcL2elydHREeHg4XFxcIJfL4efnBzs7Ozg4OHTzFQVqa2uhVqvR1taGvLw8REdHA9DM7WdqJDDZBPv27UNhYSGsrKxuSyZHcnIy2tvbMXHiROooIIQQQgghhPQqiwP15uZmuLq6AgDi4uKwcOFC2NraYubMmXj99dd7vYF3KldXV4SGhuLatWu4cPkypk6dCvTpA0yaxN1QrQYaG4GCArRlZOCPrVvh0tQEH4UCOHoUKCsD2tr+3N7KCvDzAwID4RMQgPkNDSjn8VBsZYX+M2ZoAnpXVxw9ehT19fVwcnLCo48+yqbQ61agBzSBblpaGr744gvU1tbCwcEB5eXlyMnJQUdHh8nnyQcwFoAPgEoAZwCooJnycOHCBYP3WbNmDWf0PSIiAuHh4QgODja4pByjsbGRPX/58mU2UGdG0wFNMC+RSFBcXAwAqKiouOWBulQqxdGjRwH8Oe+fEEIIIYQQQnqLxYF6QEAAkpOT4erqiri4OOzYsQOAJsiytrbu9QbeyUaMGIFr164hLS0NEyZMgFAo1N+IxwNcXQFXVxRaW+NMaSl8fX0x5NlnNbczgXxZmeZUWvrn+bIyRF27hv5VVRAcOQK8/bbmLjY2GGtjgxgnJ3gNHQq7hgbA3//PkXl/f8DZWfPYAMRiMe677z488sgjSE9Ph5WVFdauXYugoCAcPnwYu3fvRlVVFerq6lBfX4/a2lq0t7djPoAvAQRoPZ0yAC8C+M3E61JZWYnKykqcPn2ac71AIEBwcDDCw8MRFhaG0NBQ9sTMw2dcu3aNzSLQDtTVajWSkpLYDAFLKuar1WqUl5fD29vb8P+qC6mpqXB2dua8z48fP46IiAjY2dlZvD9CCCGEEEIIMcTiQP2ll17CY489Bnt7ewQFBeH+++8HoEmJHzBgQG+3744WGhoKZ2dnNDU1ITMzE4MHDza5PVPFPSBAK/TVCuQxcKDeffgKBb5Yswa8mhosGD4cIVZWuPz77+jIy4M/ALvr14E//gAqKgDt9HY7uz+D9hsB/DxfX7hKpbgqkWDvpk3wCA1FUVERgoODERYWxq7x7uzsjEdEInitWqXXHj8AuwE8CNPBuiFKpRLXrl3DtWvX9G4TCARwc3ODg4MDXFxc4OrqCrFYjFmzZqG9vZ2z7cWLF9nzlgTqV69exe7duzFy5EjMmDHDorbX1NTg0KFDEIlEmDx5Mnt9R0cHzp49i2nTplm0P0IIIYQQQggxxuJAfeXKlRgxYgTKysowZcoUdmmykJAQ/POf/+z1Bt7J+Hw+hg8fjuPHj+PixYtdBupMITlOoN4FKysrDB0+HImJiUiUSiGeMgX7MzPBCwnBypUrAQ8PzYYKBVBV9edofHn5n+ezsoCjR8GvrMT9ajXuv7FvmUgEiZMThCEhcOrXD3IfH3S4usI+MhKCJ580/JwBqHk8bHV3x8Z338X+gwdRWFgIqVSKiooKdHe1P6VSiZqaGtTU1LDXHTt2DG+++SYAzZx4JoB3dXVlz3d2dkKpVEJwY16/KUy6fGFhIQAgLS0N5eXleOCBB7q8f11dHQCgs7MT6enpbJskEkmvL6NHCCGEEEIIubd1a3k2Q0uJzZw5s1ca9FczcOBAxMfHo7y8HHV1dXB3dze4nVwuR1VVFQDA39/foscYOnQozp49i+LiYuzbt499XA8mSAc0c9v9/TWn2FjDO5LLgcpKKIqKcOnAAfDLyxHt6Ajb+nogPR2iw4chutFGU3hqNWxqa7EqJgZiW1uUl5dj8eLFUKlU+Oabb1BfXw8HBweoVCrk5+cjLy+vR9XgAc2ceIlEgpKSEr3bfvjhB4SFhaFv374IDQ1F3759ERISguDgYM4a8UwnQF1dHaRSKY4cOYLOzk52Hr0pDQ0N7HkmMO/fvz/OnTuHmpoaqNXqXi8ql52djbNnz2L+/PlG31eEEEIIIYQQw/Ly8lBVVYXBgwf3qOj17WBxoK5UKrF582bEx8ejpqZGr5r4yZMne61xfwX29vYIDQ1FXl4eLl++zEmL1lZRUQGVSgUHBwc4OTlZ9BjMOudZWVmora2FQCBgpxxYRCgEAgNhFRiIEePHG95GJgO+/RZ45ZWu9zdrFmZ5eKDKyQme7e1wGTkS/zd6NA5kZUFhZYXRo0djypQpADRFCPPz85Gbm4ucnBwcPXoUFRUVaGho6LKgXVfq6upQV1eH5ORkvdusra0RHByM4OBgNDQ0wNHREc7Ozti1axckEgmsra1RUlJiUaDOiI6Oxh9//AGZTAaJRGLx/7UrFy5cwPXr15GZmdm9/zchhBBCyD2upaUF9vb2tEqPherr63HgwAGMHj0a4eHhRre7GYNVvSU7Oxs7d+4EoIlRP/jggy7vo1ar0dDQAFdX19v+vCwO1F988UVs3rwZM2fORP/+/W/7E7gTDBo0CHl5eUhPT8fEiRPZ6QDatNPeu/OajRgxAllZWQA0GQ3Ozs49arNRYjHQRQo/6+GHUX/lCtyrquD0/ffA558jBsAAHg9NTk6o/+UXdEycCJtBg+AUEYFhEREYNnQoziYlQSAQwMrKCgqFAgqFAmPGjMGGDRvQ0tICX19fnDt3DhUVFZxCct0hlUqRnZ2N7OxszvW7du0CANjY2MDDwwMjRoxAcHAwXFxcoFKpMHfuXISFhUEsFgPQD9R5PB68vLzg7u7Opuz3dqDOpNtXVVXh6NGjcHZ2xsiRIy3ez+nTp3Ht2jU88cQTRqvu9+RLVqVSGXzP30zV1dWws7Njlywk5F5VXl6O3377DdOmTTN5IEUIIfcStVqNqqoqXLhwARcvXsSIESPwwAMP3O5m/WUolUp8/fXXAICSkhK8/fbbBo8hOzo6sH79ekRFRd2R9ZqYIN2YjIwMtLW1cVbMOnz4MFJTUzFlyhSMHj26V9ujVqtx8uRJs+M4iwP1HTt2YNeuXfRm1xIeHg4bGxtIJBIUFRWhb9++etswgbqlae+MoKAgBAcHo76+HmPHju1Re7s0dqwmhf76dU1Vel08nub277/Hb6tXQ6FQ4OWXXoKTXA7k5oKXm4vre/fCqqAAOHYM2LRJM4cegNrWFqGOjnByd4f7qFH4o6kJ1c7OcLKyQv/+/eHr64tnn30WcXFx+OOPPzBo0CCkpqbi2rVrCA4ORmFhIbKzsyGRSFBWVtbtOfGMjo4OlJaWorS0lHP9u+++Cx6PBz8/PwQHB6OjowN2dnZwcXGBs7MzgoODwefz4enpyQbqYWFhJh9LqVSitbXVrIBeLpejubkZAJCTk8Neb2mgrlKpcOrUKQBAfn4++vXrp7eNRCLBunXrMHDgQIu/ZFNTU3H8+HE8/vjjCAwMtOi+hmRlZYHH4yEqKsroNvX19fjuu+8AwKyeUULuJL/99hsaGxuxZMkSWFl1a/YZx/bt29HW1oZt27aZ/DykpaVBLBazy14SQsjt1NLSghMnTiAgIACBgYE4efIkhEIhFi5c2O19SqVStLS0wMPDA/v27cOVK1fY21JSUih2scD58+c5lz/55BODvzEXLlxAU1MTkpOT77hAvasYoba2Fnv27AGgibN8fHwAaI5tASA+Pr7HgbruQNjly5dx5swZyGQys+5v8VGCSCRCaGiopXe7q1lZWWHAgAFISUnB5cuX9QJ1ZlkwwLJCctp4PB6WLFnCnr+pBALgyy+BBx/UBOXab3TmsdeuhUKtZivFW9vYaJaE8/AAxoxBc2Qkjh8/jvDwcDz60ENAURGQl4crO3dCmZUF/9ZWeO7bh/lM8bjvv0e0oyM6+vQBMjIQZWODmqoqqN3c4OjggKioKKxcuRKenp5sUzIyMrB+/Xqo1WqEh4ezFeULCwtRXFyMzs7OHr0MzP/NWLG4jz/+GO7u7hCLxTh9+jTGjh2LoKAg9hQYGMiOyAOaD/y5c+fw8MMPmwxEAcOp9gDMLpzHqNKqOWBsSbrk5GS0t7d360v20KFDAIB9+/bhhRdesOi+umQyGZvpYKznFgCuX7/e5b7a29thY2NDGT+kW5KSknD8+HH4+/vjscceg42NTbf2U1dXh127dmHcuHHo378/ALAHjpmZmRg0aFCP2yqXy9nzCQkJ7DQZZloan8+HRCLB/v37AQDvv/8+AGDPnj1wdnY2Ol2LoVAoIJfLu/0aMK5cuYL09HQ89NBD99xSroQQfWvWrAEATjANALNnz4ZKperW98SaNWsgl8vxf//3f3r7NZdarcaePXvA5/Mxc+ZMznHc3UCtViM3NxeBgYGwtbU1uh1TeFlbR0eH3m+BdjBs6TFqbysvL4dKpWIHjphMZGOYIB3QTNFlAvXeUlZWhh07dmD69OkYMGAA57fYXBYH6q+++iq+/PJLfPPNN3QQrGXQoEFISUlBdnY2pFIp5wumsbERbW1tEAgEPXoT3NLXe8ECYPdu4MUXNRXkGf7+wNq1wIIFkN5IS+fxeHpBVd++fXH8+HEUFxdDyedDEB6OQisr7OvbF/ywMDz33HPgeXoibvt2lMfHw72+Hm61tQgHgPh4BF67hiVyObBlCzqFQtS5u8M1Kwvo3x+IiAAiI+Hn5gZ3d3dYWVnhb3/7Gyf9WqVSoaysDF9++SWamprQ0tKC/Px8KJVKlJaWQiKRmPUy8AGMBeADoBLAGQBMVQaFQsEGwiUlJUhISNC7v7e3Nxu4l5eXw9nZGXl5eXj77bcRFBRktKhFfX29wetlMpnBL9YrV64gMTERixYtQlVVFfr06QMnJyc2k4Nprza5XI7k5GQ2xd6Q1tZWWFtbdznyp1QqTd5uDqlUyp5vb283Gqh31ZaCggJs2bLlnk9zq62tRUJCAsaPH8/p4LrXqdVqnD59Gv7+/kY7nY8fPw5A86N/5swZTJ06lXO7UqmEWq3GlStXEBoaajRL5rfffkNNTQ12796NkJAQJCYmsrd1tyOxpqYGPB6PLSaq/b2XkJCA8PBw+Pj44LvvvoNSqcTzzz/P+WwdOXIE/fr1Q2ZmJgDoBeopKSmQSqUYN24cAOC///0v2tra8Oabb/YowP7tN82CnomJiXqvJ+kdarUa7e3tsLOz67X9qVSq23rgTe49n3zyCQBg1apV3KLJZmA6LtevX9/tx29paWG/H9PT0/HGG2+gqakJzs7OPe6wvBNs2bKFDcJXrFiBhoYGg4NHhpZSzsrKwtChQznXaQfqe/bswaJFi3q5xV07deoU8vLyUFlZCQDs71V+fr7J+2kPZiUnJyMyMpJzu24dNkvt2LEDbW1t2LNnDwYMGICvvvrK4n1YHKifPXsWp06dYn/sdUfp9u7da3Ej7gY+Pj5sGvTVq1c5b2QmWPLx8emVVMdbZsECYO5clG7dipT9+2EdHIxZn36qGXHHn4GVtbW1XieCl5cX7Ozs0NbWhvLycvj7++PIkSMAgOHDh7OBg2vfvvgjNxflN6YEiB94AF4jRqCloQGb338f7vX1cK+rg3tDA3wqK4GEBODG2umuAF5ydkadmxs6y8pgPXAgEBkJRESA7+sLlUoFR0dHODo6AgD69euHxYsX49ChQ2hoaIC9vT0cHBxw+PBhKBQKNDY2ory8HE1NTejo6MB8AF8C0M6BKAPwIsxfQ76qqgpVVVV6KUTbt28HALi4uCAoKAju7u5wcXHByJEj0adPHzQ0NKCtrQ22trac11YqlRoM1JmDYCYlPCIiAosXL+ak9GuPvAGaL7Zz585xrtNO0amsrMTGjRthbW2Nhx9+mDNtQy6Xcz77vdGJpJ0G1NbWZnT+jvZBo6H58fHx8QDu3DQ3pVKJ3bt3IyAgAKNGjbppj/Pzzz+jpaUFxcXFeP3113u8v4sXL6K5uRkTJ07shdbdPjk5OWynmjlTJ3QD6qKiIvz888+wsrKCXC6HtbU1u4ykrvb2dvb8oUOHcPXq1S4fr7i4GKmpqZgxY4ZeDYbm5mZ8++23AID33nsPAoFA77PX0dEBmUyG2hvfk9euXeN0JKSkpMDb25u9rP2ZV6vVOHz4MAAgJiYGycnJaGtrA6CpmpuZmYmRI0fC29sbtbW1CAoKMvnZV6lUaGpqgqurK3uddqcB6V3btm1Dfn4+nn76abOy93Jzc5GSkoJ58+YZ7DTetGkTysvL8eqrr/Za8E/+etra2lBWVobw8PAe16PJzc3FiRMnzEpvv3TpktlZfiqVCrm5uT1qm0qlQlFRkd737qeffsqeN3e6HRO83okDmtoj5cwx45IlSxASEtLlfXWLPzc3N7PTKwFNIG9o1P1mO336NOdyR0cHrK2tcfnyZb1tmcFUZnopg1lVSvc3v7Oz0+jAUVeY309A0+mjO2BmDoujRmdnZ8yfP9/iB7rb8Xg8DBo0CMeOHcPly5c5gXpP095vK4EAuP9+ZBYWag62tIIk7UBdF4/HQ0hICDIyMlBQUICKigrU1tbCzs4OEyZMYLfTPmAEwAZnDi4uaPH2RoObG/LCw+Hk5IQhL7+s2aihAcjNBXJzUbh9O2xKS8E7cQLYuJGdCw97e7j5+mKBWIwGV1c0urig0dkZ3goF/Hx8IJFIMHLkSAwePBh1dXWcHsGHHnoIl959F4/fWApPmx+A3QAehPnBuimNjY1obGxkL//666+c262srNiVAhwdHVFfX4/w8HAEBwfD398fAQEBnINgBrMcnvaIuu6XT15ent79FAoFhEIh1Go1jh07BrlcDrlcjiNHjmD58uUANIHKli1bOCNxvfFjpDuiru3IkSMoKSnBk08+yQnU5XK5XlrarS5sZ8ixY8dw/fp1LFmyRG80iilumJ2dfVMD9ZaWFgDcH4qe+P333wEAkZGR8PX1BaAJ3l1cXAz+wMtkMlRWViIwMPCO+J8wmNfFXBcuXMC0adPQ2NgIDw8P7NmzB2q1mu34MhZ4qrWmBgGalT90GUoT3Lx5M3vbI488wl5fXl6ODRs2sJcPHDiA+fPn6722uvPhtm3bhhUrVnC20f58KZVKtgNZu40KhYLTwch0wufl5UEsFkMmk2Hx4sVGV8yQy+X417/+BcDy2ixKpRKZmZkIDg5mO1qJPpVKha1bt8LX1xeTJk1iR49+/PFHTJ48GU5OTlAoFBh8o0BsUVEREhISMGHCBIhEIrbD+MiRIwZHwZiO3s8//xyjR49GdXU1Hn300Tvq80x6X1lZGYqLizF69Gjw+XysW7cOLS0tGDNmTJdTZbrCvOfWrVvX5bbXrl0zO1C/cOEC28nYXUlJSYiPj+9xp5RarcYPP/wAPp+Pp59++pYE6yqVCvX19VAqlfDy8jL6mNu2bTN4fUVFhVmBuu5+//e//+lt8+mnn+p1aPz++++4ePEihgwZglmzZnX7O8RQ4WND89CvXr2KMWPGGNzHzz//jGeffdZgNmlHRwcuXbrEua6wsFBvpN0cuqPx3R3ItjhQ37RpU7ce6F4QExODEydOoKysjLOmunbF978ipmdMN3gyFagDmvT3jIwMZGVlsQfHkyZN4mzv5eXFuQ8TqPN4PLi5ubFpKZweTldXzVrxsbEosLPD1atXMXXqVIwaPlwzFz43F8jJQeWBA3AuKUFIURHsmerxmzdjkViMdnd3WCcnQ9C3L54SCpFcVYVGZ2fwg4LQLyICgTdG3HS/6vgA1DwefvXxwcXdu1FSXo4tW7agqqoKzs7OqK6uRn5+fo+XnGMwI/1MMJ+enq63jY2NDWxsbNhg3tHREU5OTggJCcG1a9fg4OAAa2trvRF1QwFcR0cHhEIhamtrUVRUxF6vXX3/4MGDUKlUOHbsGHudqR+i69evIyUlBQ4ODpg0aZLRbXVH1LUxAUNqaiobJAJ3bqDOZCrk5eXppZRpP89jx47B39+/Vwt89cY0BFOY90J5eTkbvDM/yhkZGXBzc4Ovry+2bNmC8vJyTJ8+nVNN9WZRq9WorKzE5cuXMWHCBKM9+tpZTebOp2MCTmdnZ7MKWDY1NeGHH37gvI9178ccWAYFBeGBBx6Al5cXp2OtrKwMP/zwAwYPHoxhw4bpZb9cuXIF8+fP1/s8lZaW6hV21O0k0O3sYl6TAwcOsNeb+kwz7+G8vDxERERApVJh79698PPzQ2xsLABwDpq163wwcwhNfU7PnDmDhIQE2Nra4u9//7vR7e5Wubm5UCqVBr8XUlJS4O7ujpCQEOTm5qKgoAAFBQV6nX4nTpxgzwcFBeHEiRPsfE2mM4jR1taGiooKXLhwARMmTDA4up6UlARAEzz91VcXUCgUOH78OPz8/ODs7Izk5GRMnz6911duuRlu1iorarUahw4dgre3Nw4ePAhA8zkfM2YMe/x29uxZnD17Fs8//zx7fHszMVlB5uhpkA78WUDMVOf2mTNncN999xmt+cPcn/nObW1tvSXrdu/atYstPPzQQw8ZLBwMGB6gATTfF0xgq1arjU6/1A1uzZ3CdfHiRQCaLIlLly6ZrENkSFtbG9LS0pCUlITBgwdzpk9lZGToba/9fHQx/5stW7bo3fbDDz9gwIABnOtqamq6Faj3NMOD0a08bIVCgYSEBBQUFODRRx+Fg4MDKioq4OjoeE8vl6S9pvqhQ4cQGBgIkUjEjm52t+L77cakWkulUs6PRFeBOtM7x3yw/fz82J59hlgshouLCxuIaqc7awfqxr7o3NzcANyY0y0UAuHhQHg4ZFOnYmdHB1QqFR577DH8vnMnBjo5YVJwMHhFRbArKgIKC4GkJAQUFiJAexm499+Hg4n0FJ5aDUFFBUa0t2PEQw+htrYWNTU1WLp0KYKDg7F3716kpKSgubkZTU1NaG5uhr29PbKystDY2Ijm5uZeG+UENMF1R0eHXgE65scW0BSS27x5M8LDwxEQEICAgACkpaXBwcGBPdna2kIqlcLR0ZGdwy8QCKBUKvWCfF26wWFbWxv27duHIUOG4NSpU6i5UTSwf//+elkUDFOBOqOyspJzf0Pt0j6IYeaV6bbt1KlTGDJkCCfo19XZ2YkLFy7g0qVLGDVqFIYMGWJwO5VKxdYr0O2Ma29vx9atW9GvXz+2cJh2wMYEXyNGjMDkyZO7nV7FUKvV2LBhg16nWm9iXnPtTBBAEyAyhVk++OADNji7fPky7rvvPlRWVqKlpcXsg3y5XI5z584hIiKC8z9vbW3FwYMHMXz4cLZwp+5oc0pKitFUPu0g9eOPP0Z0dDQGDhyIs2fPYsyYMSZXL2hqajJafEepVGLv3r0IDg5Gfn5+l59x5jNRUlKC7777DvPmzeOs8NDW1oa2tjZcv34dw4YNM/g9q1Ao9JawTExM1Jt7r1u8Rrtt+/fvx6JFi8Dn8zkZAOaMAl28eBGzZ8/Gf//7X3ZeJxOop6WlGX3e8fHxmDJlCuf6uro65ObmYvjw4Th79iwAzefn0qVLaG1tZefM3+2USiU76ujg4IBHH32UrW1TWlrKBiTLly/nLDuknZ6ra+vWrUYPvAHN98b3338PQDM1pL293Wjn2s3uCLyZ5HI5Ghsb8csvv+jVqcnOzsasWbMwbNiw29S6rl2+fBkHDx7E4sWLDa4u1BPXrl3DhQsXONcxgbmuLVu24KWXXgJw+1O7pVIpO/Wvp8ypXRQfHw+pVKr3/WXMmjVr9Aoh97aioiLOb8f+/fsNBuoFBQVm7e/EiRNsx5yutLQ0zJ07FwBMVi2XSCQms6Hi4uIwZ84cs9oDaEbBmVjq3LlzmDJlCvveM1VnyVINDQ16afQnT57s1u9PV8vCmcviQL2kpATTp09HaWkpZDIZpkyZAgcHB3z66aeQyWRmpbPczQYPHoy8vDwUFRVxRiSZ0c6/Iu2RKWaZMqDrQN3R0REeHh5sr+iMGTMMfql7e3ujsbERtra2nECFCcIBGO0AYrbRDVJLS0uhUqng4uKCsLAwvPjWW8ZHztRqoL5eMxpfXg7s3w/89JPhbbVNmQK4uWGxUIhmkQiuf/wBhIQg9Pp12EmlkFpba04eHhB6eGC0j4/msliMTqUSc+bMQXNzM3JycrB7925OYN/S0tLjIhba5HK5wWXotPH5fGzasAGznZ3hx+ejWqFARd++4AuFcHZ2RnZ2Nnx9fQ2+jh0dHeyapfv372c7WHQLeZian2oo9V2lUnHeMzU1NZzX5fr166ipqUF1dTWio6Nx5coVNDU1sbevXbsW7777LmcUNS4uDhkZGbhw4YJeepZarUZDQwNcXV2xb98+dgTqwIEDBgP13377DUVFRWzhvpkzZyImJoa9PSkpCQ0NDcjPzzcYqDNSUlIgEok4aYVMIZeuVtlobW3Fvn37EBUVhUGDBrHFVHqqoqICBw4cwJQpUzjfZUwwp/v+NPa4fD4fTU1NbHGfFStWcDJp1Go1qqur4ebmxhmlOH36NFsTRfv/dPToUeTk5CAnJ4e9nlktQNvPP/+MlStXIjc3lx0BuXTpEmfUGNDMqWP+z9u3b+9yOoKxTpD09HRcvXrV6Dz0rkbi9+3bp9eRqX2bobl22lkt2rpaGUH74DsnJwcff/wxHnzwQU4wZ+5c8l9++cXi6QRJSUmYMmUKrly5gtbWVgwZMgTffPMNAE1Hg3aHAfP/io6Ohkgk+sv+jppL+33S0tKC9evXs5X6tTtff/jhB7P3aSpI18W8v//44w+Dt/+VA/X169ebPKg/ePAg7O3t0d7ejsGDB9/yINRYhk9nZyeSk5PZucA7duzAO++806uPbUntiObmZnz44YcIDAzEk08+adbrJJPJ8MUXX1jcLplMZrLq+vbt29m5xbdKcnKyyUBdd5T50KFDePLJJ29ae37SOV41NsptaATZEGNBOoNJP//xxx+NbpOYmIhZs2YB4E7BZFy6dMmiQJ0J0hkdHR1sp7nuoIE5LC3mqp1yX1JSgpycHEycOJFzzJKSkoKqqirMnj27V787LA7UX3zxRQwbNgxXrlzhBFLz589n57DeyyIjIzFnzhw0NDRAJpOhs7MTnZ2dvbIMz+3C5/NhbW0NqVRqUaAOaIqa1dbWYvDgwUYzCry8vJCdna038mlJoK57IMIEFsHBwQBgOr2VxwPc3TWn4cMBFxfzAvWXXwZcXVGVmAh5ZSXcmpqAc+cQUlKCiPZ2iE18EUjFYvA3boTI0xPjbW0xtbFRE8R7e0Papw+iYmMh9PBATWcnKjs6cPLSJVwtL0dlRwfKW1rQ0t4OiUTS43Xktc1VqfBlRQUCtNJky3Jy8CKAzfgzXVIkErGF+BwcHGBvbw9HR0cUFRVBoVCw1xkaHTbVA6s7ot7Z2YlvvvmGs1JCbW0tJ0DcvXs3e/7kyZMG99vc3Mx5L5k6ULtw4QIOHTqEcePGdbmsB/DnsjJMT3xycjJnxNjQD4ix/9nZs2cxduxYiMViSKVS/PLLLwDA6WiQyWRITU1lR4zd3d2Rk5PDLk1ozpSL7OxstLS0YMSIEQA0P1gCgUDvM7J9+3a0tLTo/bjLZDJs3bpV77lp/1+0D+b5fD77XABNQO/l5cVmmnz++eeQSqXw9vbGc889h8LCQtTU1BgNNnU/62q12uhICFN4TSaTYfLkyXpBuiG6KebmyMzM7HLJFXM+q9rvU22GgnRAc2BgiKH58Kao1Wq9+hjGOgF06VYGrq2tRXJycpf3y8/PZ0fCmCr7gPHviIMHD6K4uBgzZ87E8OHDzWrb3eLChQuwtrZmszB6m6kOXF2JiYmIjo42mH7dVVB1O7S1teHzzz/HwIEDzRp527FjB3u/sWPH3uzmsTIzM7F7927MmTNHr5MgISGhW99LN1tpaSkaGxsN1snRdf78ebPXjdZ2/PhxNuDT1draanGQ/v3332Pp0qU9ep+qVCqDc6UZut/XJSUlOH/+PNzd3REYGGgybZ5hav8MhUKBn3/+2eBtJ0+exIQJE25KZxMz5cnU95H28YGpgL67zp49y6a/G0p974qlgfrly5cxePBgqFQqdgq4lZUVJk2aBECT5s5kO8lkMjz00EMWt8kYiwP1M2fO4Ny5c3oH4X369DFrfeO7HY/HM5oi+1dmY2MDqVTKGU0yJ1AfP348/Pz8TKa7hoeHIzExUS+VS/ugtavUd4lEwqnMqBuoW2TsWMDfH+rycr056gA0gb2/P/DZZ4BAgPTQUGRnZ7MHkP/79FN0dHSAr1JBLJXCWiqFo0oFvkQCJ7Ua4V5eKEtPR5CTEyK9vdFZVgZeQwNcGxoglsk021+6BF5rK1wBRAKYoNOETmtrWPn6okoqRYuVFSQ8HpoANKjVqFcoUCmXo0wmQ6lMhhoANQDq8efScrrmQ1MkT5eh4nmdnZ1oaGgwutY7QygUwt7eHnZ2duzfyspKODo6Ijo6GuHh4fDy8oKXlxfs7e05FThbW1uRn58PiUSiF4RZ+mMvkUg47yVTP5JHjx4FAM4yWpbo7OzktM9QcGYqYEtMTMSUKVM4ATczh1ilUuGzzz5jg+DDhw9jyZIlnNdHe16qIfX19Ww61tWrV/H4449jzZo1sLOzwwsvvMB5HsZGSa9cuaL3Xa9bOE07eOPz+ZwD5CtXrsDT0xPff/89AgMD2e8RJgvD0IHHN998g/vvvx/9+/fXG8k3J51Pe470zaDdYWSMOWmVXf3/zNWdAxddxcXF3brf999/3+VUGUCTjt2d9sTFxd3Vgbqh74dDhw7dMTVuampq8J///EevdgBTLMrU/Nhb4dSpU7CysmKD7M8//xyA/lrdXYmPj79lgXpnZyf7HXLgwAEUFBRwDvQNHVvHx8ejuroajzzySI/mrJeUlKC+vt6sTsyeMNaR3pULFy7g2rVrePHFF/WCTkOZVF2pqKhAamqq0fnL5srKyjL6Pjd0/MCsemRqlRBGS0sLvvvuO7S3tyM4OBgTJ06Ev7+/3vP/4osvjGZ4JSYmwsvLy6LPojmdAwD0plsZYs7vsu7jpaamIiEhAQsWLOhyase5c+dw//33d3u6oLGMIWMKCgoQExODjz/+mL3uzJkzbKDOTFcCNMdWtzVQV6lUBlOfysvLb0nBBFMuXbqEN954A6mpqRAIBFi4cCG++OILzmhsaWkpVqxYgVOnTsHe3h5Lly7F6tWr/1rLpt0Gtra2aGxs5AQQ5gTqQqHQ4PqM2nx9ffHWW2/pBVDmjKjb2Niwy8A1NDTA29sbbW1t7EF/twJ1gQD48ktg4UKooVNQjvlSWbuWrYDP9MzKZDLI5XL2NXp82TKUlZXh1KlTaASAG0uwDZg1C8lbtiDb2RmRL72E4owM7NmzB1ZWVvDy8sK0adPgFBgIyOWARAI0NeGPuDjknj8P6xuBv5+dHcI8PVGWnAxrmQyOUik8b9xmLZfDrq0NVjqfUxWAZqEQDQIBJNbWKJFKUapQoEihAJNEp/tzz79xv7UA9sN4oG8IMx9Qu2eVKSiiSywWw8bGhg3o7ezsEBISgra2NtjZ2cHW1pY9WTqqpLsEh6EvdrVajfLycjg5ORlNEzXnR0w3UDe2H2OYx9bu7WW+b8+dO8f57mU+f+akHSsUCsTFxXHmIJaUlKCmpgYymQwymQwKhYL9HtQe4dRl6Ed6w4YN6NOnD3tZ+0dLd7SuqKiIHR0ydySvrq4OZ8+eRf/+/fVeP3NGyYqLi3t1KokhzJrTCoUCSqWS/WvsvO51zCgNsx/mvPZJ93oejwc+n9/lX4FAACsrKwiFQqN/hUIhxGJxj0dgzAnSe4L5/1+7dg1nz57FnDlzzBrRu9OUlZWhoKAAY8eONaugoaH00dvFUHDAfLf/+uuvty1Qb2lpYeeXxsfHm6w3cSdhinIyrl69igcffJDtXNAdNZbL5Thz5gwATUXqrqZHmdLTAtF1dXUmP39qtZrNUuiupqYmnDp1Sm9pUEsyQbQZ+i3QXk/bHOnp6Qbf5139znQ1xaChoYGz1nZRURE7Iq07Va+rWjRJSUlsG82ZEnflyhWzsn/Pnz9v9oCkqdcjPT0dAwcOZB/70KFDADQp+uYsg7dz50488cQTRm839fpY+v+urq62KLjXTdXvCYuj06lTp2Lt2rVs4REej4fW1la8//77t3XN4oqKCkyePBkPP/wwvvnmG0gkErz00ktYtmwZ21OpVCoxc+ZMeHt749y5c6isrMSSJUsgFArxySef3La2/xUYqvxuTqBuLkOjnNpBuKl5iW5ubmhra0N9fT28vb1RUFAAtVoNb2/v7hc3XLAAql27oFi1CmLtyqP+/pogfcEC9iomUO/s7GSDGKFQiODgYDg4OHDWmLS2tkZAQAA7b7e5uZl9TSMiIri9cEIh4OYGuLlBHhODIq12NIeEwComBkdcXPSaHhQUhJLiYog6O2HX1mbw1NfBAc4FBRgrkcCpqQlWJr5M+QACATwFYCcAy2ajmocJFrXnl+sukcH44osvIBaLYWtrCxsbG04Qr3uysbFBYWEhoqKiIBaLcfHiRb1UXUAzAtnV0hl1dXU4fPgwRo0ahbCwMIMBd2dnZ5c/xKZ+uJggX3sfzEi17mgrc705gXpKSopeoSCAWwG9paUFLjfeT9qFaXQZ+vG7fv260SKBhhgL5kylozE/rN3tVN25cyfbmcacOjs7jV7Wvc2c+9wNxGIxrK2t9U5isZiTIaN93pxAs7eoVCqkpqayB3V79+7FM888c8sev6d053daW1tDJBKxK3X05nSmm4k5kJ40adItTRE3pKmpCY6OjnprFHc3kGPI5XKz0pR7ylAGzI4dO8yqGn27awZs27bNZFBVVlZm8nm0traiqqoKKpUKHh4e7G+QrvPnz+sF6rpUKhWuXLmCixcvorq6GiKRCMHBwRgzZgzn98lQcTBL62sZC/Z7WqdLO0jvKe0pUEyNGFMuXLjACdRLSkoQFxeHuro6eHp6YubMmfD19UVNTY1Z31N1dXUms9lyc3PZQF23IOCuXbsMLhmpraCggHPMqItJRc/OzsbZs2chEAgwbtw4hIaGsseBJSUlKCkpgb+/v8nl6Wpray2q/8OsT29IUVERysrK4OHhYda+LD7iWbNmDaZNm4bo6GhIpVI8+uijyM/Ph7u7O2cU5VY7ePAghEIh/ve//7FpQOvWrUNMTAyuXbuG0NBQHDt2DFlZWThx4gS8vLwwaNAgfPzxx3jjjTfwwQcfGJ1Tqz1CZk764t2IKdpg6Yh6T82ZMwdVVVUmgwA3NzeUlpayo5HMBzAsLKxHjy146CEIFiwAzpwBKisBHx9NWrzOQSnzvpHJZGzQZG9vDx6Pp1chmjko8/T0RFVVFaqqqtjAx1g1aQB686lkMpneyO/IkSPh5uaGwMBArFu3Dp1iMTrFYjQa6O328vJie/z6Z2TgQTPWd/zhxklibY0KOzvUOjoiT61GlkqFDKUS2XI5mjs6LC4s1R3M59KcIiLMF6aNjQ0EAgEbeNjY2CA/Px/Ozs4oLi5GZ2cne712gCISiSASibBr1y522boPPvhA76CQYWz5EyaF3VRAZyxQN3RQ0NHRAYlEYtZ8ZGNZCNqj4y0tLZBKpbh27ZrJ/6Gx9utmLphi6Pmo1Wr885//hFQq5QTA2n83b96M06dPo7q6Gp2dnZBIJCgqKkJhYaHJQLuzs7NXD2j5AMYC8AFQCeBMr+359mM+W5b8P62treHk5ARnZ2f2r/bJ2FJ53cUE6YB5aZi3S3V1NZRKJbu6RFxcHP744w/OOs2ZmZmcg1ljdQruVIZSxLuq+Nybjh8/jqSkJIjFYs6STb3hX//61y1bikyXpUs7mZu2rM3Yb5ilmJUmDK2iYizDrLq6GidOnNDrOPf398eUKVP0siG6ylSTyWTYvXs3Z38KhQJXr15lpyZqjwLX1NR0WYm9ubkZdXV1cHBwgIeHB+f1zc/P11sqz5wpUIDxDqCuRshbWlp6JXO5qqoKaWlpkMlkiI6ORlhYmN57p6qqClu2bGF/NysqKvDTTz/h//7v/zgZFGq1GmfOnEFaWhoUCgUGDRqECRMmgM/nQyaT6VVQ18Z0uhsaqc7KysL169fh5+dn8rmYes0zMzNRXFzMmSKxdetWLFu2DEFBQbh06RInm2XixIkmOx0N/X/a29tNHrvrSk1NtXgpQYsDdX9/f1y5cgU7duxAeno6Wltb8fTTT+Oxxx7r9R9jS8hkMohEIs6HhmnP2bNnERoaiuTkZAwYMIBTcXjatGlYsWIFrl69arDi7urVq/Hhhx/e/Cdwh7vZI+rGREREICIiwuQ22gXl1Gq12dWyzSIQAPffb3IT7RF1JsBhvkx1PxPMa+Xl5YWqqipUV1ebFajrvsaGAnV3d3cMHz6crZTO9Hja29vrHcxqp+W0mvnF//sDD0BmbQ23hga4NTVhrLU1xublATfmqqutrMALDUWthwcudXSgxNYWhWIx8vh82N4oetbW1obW1la0tbVBJpPd1GXEdDGdTNqvhW5V+q4wQfvWrVtha2uLpqYm9jqRSAShUIgTJ06w562srGBlZQWBQIDHHnsMffr0gYeHB0pLS9nbtE+NjY04cuQIkpKS2LRlhUJhsEhcS0sL/vuf/yCotBT2LS1odXBASWAg1AbmKxorRsYUimOq3e/atQsqlYqd4qT9lznPpGozJ7lcDoVCgdTUVIPXGzrx+Xy0tLToBdRd9dLr/ih3t5ZAT8wH8CUA7RnDZQBexJ91HO4UhjoUbsYEAKlUCqlUajTdz87ODu7u7nB3d4eHhwd7ut3T5W4mtVrNdhK+8cYbsLGxYQ9ItZfH0x1xsqRCuzalUon6+np21ZCWlha0trZyPmNqtZotHGllZQVbW1s2K8LFxQUeHh6wtbW1OODTTc3+4osv8Nprr92U5XqVSiU7rQP4s0K1TCbTSyHvDT/++COWL1/eq9MrOjs7kZ+fj/r6+h53zFy6dAl+fn743//+h5iYGMyYMcPs+8bHx/fosRknT57EyZMnDY6sG+qUvXLlCn7//Xej02g3b96M6dOnswVPu6JSqbBr1y4UFhYavf3333+HtbU1oqOjAWiWMDNWAJtZAlS7s8TLywtz5szhdEZcvnyZE/ybm1WVlZXFjiQDfy4ZayqTDdCs9PDKK6+Y9RjGZGdnY/fu3ez/5cqVKxgzZgwmTZrELjMLaObU6/5/Ojs7ceLECSxatIj9rU5MTERCQgK7zdmzZyGXyzF9+nRcvHjR5GAK8/+Ki4szePsPP/yADz74wOR8d+b7s6CgAAkJCZDL5Rg+fDiGDh0KAJy2MRITE/Hggw/qPW5CQgIGDhxotJPR0PsrPT3d7O85pVLJybA1V7dyCK2srPD444935643zcSJE/HKK6/g888/x4svvoi2tja2YAOTrlBVVcUJ0gGwl43NV3jrrbc4HwyJRHLHFHW5lW7XiLo5tAP1iooKtLe3QywW37J16w2NqDMHoHw+HzY2NuzrxgT1TE+u9oFtTwN1Bp/Ph62tLXsw6ODgYHTUyd7eHiWBgWh2dISjRGKweJ4agMTREZeGDoWzmxs6XF3hO2IEEBGhWdquthbIzgYvOxvIyoJbVhbGZGZi2o0vaDUAqbc3yhwcUOfujtqwMNR6eCB64UKoHB3R3t6OuLg4XL9+nZ3mkJeXx64j3d7ejvb2drMqmnelp4ELs4qDofT5m+Xjjz82OO94nkqFzzo74a8V3JbzeHhDLMZ+rawP5gdVOwhm5jszQbharcZHH310y57TX5UlRRe18Xg8ToCk/Zc5z+fz2f+v7snY9drz1nX/TmlpwT8aGuCrdbB1ncfD38Vi7AXYTpNbgfks6wZ0jnZ2mOPignAHB/B8fdEcEwM7C0dim5qacOXKFRQXF6O9vR2PPPLIbV/bGeAGKO3t7b06kCGXy3H9+nWUlZWhsrIStbW1aGho6JU6DDY2NvDy8kJgYCCCgoLg7+/fZcEmQ/OcDx06hKlTp7IZSr1BqVTiv//9LwQCAcLCwkwWqe0tHR0d+Oqrr3p1tYEDBw4gMzOzV/aVm5vLBpTnz5+3KFA3Nr0M+HPZzLq6OiiVSjg4OHT5XjBnVP/KlSvYt2+fyW3UajWOHDkCkUhkdM609ns9MTHRaJCu7ffff0dAQAAcHByMFr9ubW3Fjz/+qJdSXV1djU2bNuGJJ55gR/uPHz/OCdTNzUKKi4vjBOoHDhwwK4OiOxm9zc3N7PEos5Sr7vfE2bNn2eJtTMaasWkjOTk5bDtaWloMdpanpKRgxIgRnGVdDTE3G6qrZeUqKyuxbds29nkxGdahoaEGVwUoKipCRkaGXseKSqXC1atXcd999+H8+fPIzMyEg4MDJk+ebLRDzVgnA6D5bTp06BAaGhoQHR2NPn36dOs41uJA/eTJk9i7dy+Ki4vB4/EQEhKChQsXdmsxeHO8+eab+PTTT01uk52djX79+uGnn37CK6+8grdurJn9wgsvwMvLq0cVMcVi8R233MjtcLtG1M3BfIDq6urYEdK+ffvesnmT2sXkdAN1QBOAMx9O7RF1QPPlz/TGWZL6ziyVp027A8nBwYEN1B0dHY3OrXF1dUVrayvipk/Hol279IrnqXk8QK1G3PTpUPP58Pb2xsMPP/znBjwe4OmpOY0fD0ATDNsBOLJjB8pPnECYUokwuRzq1FRE5uQgtrFR8xgbN6LVzg517u5wc3NDnZsb6t3dMWnVKqw/ehQqnc+tSqVCR0cHG7hrB/DMealUitbWVva89mv0VxoJ1aZWq/V6tucD+MXAtr5qNbZIpUYDxjvRrRr1NYQposacmEwIQ5fFVlZYl5ICnkym16HFh6ZD6kd7ewQ9+SQEIpFeEH4rRWVnY5GBisi+ajV+kUqxa9EiZEdFsdX6FQoFW1+BOclkMnR2dIDf2gpRWxt7smprg+zG7aobnT8yAM1ap6ob15kyH8CXbW0IYEaXs7NRFh+Pd+zskBEWhj59+qBPnz5wcnLq8vlqz2/88MMPMWLECAwcOFAvbfJWzTkGzFuOz1wqlQoVFRXIy8tDYWEhKisrb1pxxI6ODhQXF7NV9gUCAUJDQxEZGYmIiAizOxwKCwvx5ZdfgsfjsevA91RtbS17cH/hwgWDdTdulmPHjsHT0xNyuRzBwcHdPr6Qy+W9FqQb27+573FDI9oKhQIpKSlISUnRCzwFAgFiYmIwfvx4g5/LHTt2YPHixZzrtKdRlZeXG6wuL7rxfal7THPo0CH4+/sbnHrALIfZ0NCAs2fPcm6ztbXFAw88gLKyMpw/f569XiqVIj4+HvPmzeNszxzLqtVq7Nmzx+i8Z4VCgV27dmHVqlWcARhL6d6vO4XHdL9fVCoVmpqaYG1tzTmWPHjwINuZcPbsWaN1YBITE9GnTx9UVlYiPT3d5ONmZ2cD0GQUGJvGdvHiRU4WSnFxMS5fvgwej4fhw4cbnCbRXYmJiXrtSEhIMFrPRq1WGxxpBzTZQUKhkF0BCNB0BKxcudKiCvMqlQpbt25li92ePXsWaWlpZt9fm0WB+nPPPYfvv/8eLi4uCA8Ph1qtxrlz5/DNN99g5cqV+Prrr7vVCFNeffVVLFu2zOQ2TAGARx99FI8++iiqq6thZ2cHHo+HL774gr3d29tbb91Z5gNiSSGke9GdPKLu4uICHo8HqVSK1NRUAL2U9m4m5sNrKPUd4Ka/6wbq9fX17BeMJSPqTE8g0yHV3NzMeQ87ODiwWSKm0kuZtmdHRWHXokWYHhcHJ61eW7WfH07NmYPsG0UvLBkVmjh/PtL79kVUVBRyc3PZtEQruRxu9fXwqKuDW10d3Ovr4VtRgQEZGRDJ5cD27XiHz0eDqyvq3N1R7+am+evqiiYXF7S6u2s6EAyYNm0a+wX76quvIiEhAadPn0ZkVhaevrE8ijZmJPSVgAAcFIk4gUpHR8dNrxTeHXxoOhyY87q3dbdK/+3QVeeJQCDgBMvMed2/Xd1m6LJQKASPx4OVQgGb9nbYdnTAtr0dtu3tsGlvh01HB0RyOYRyOYRSKZybmuBpYp4kD4BLayve3rYNHba2UAoEUFhZQSkQcE4KKyvIraygMPckFBq9TbczCwB4KhWm3+jl1/2U8KDpUJj9+++wa22FtVQKG6kU1h0dmr9SKWw6Oti/YgOdEuaq5vFQrFajAMBlAGkALgFogOnMhM1tbXjw8mX8dmO6hrOzM0JCQhAREYHg4GCzghAm0PjHP/6B9vZ22Nvb49q1a/jll18wceLEmzawYEx8fHyXhZF0qVQqFBUVITMzE3l5ebd0mpA2pVLJjtpaWVmhf//+GDZsGHx9fU2OnjJzinvaYdHa2go7Ozvs37/f4jWze5NcLmczB/h8Pp599tluHTfe7Or9X331FV599VWT2zCV2HUzaqqqqvDrr78aXXpVqVQiLS0N2dnZmDt3LiIjIzm3GxoVPnjwIABNkLt//36939QRI0Zg8uTJ4PP5SExM5IzQKhQKHDx4EEuXLtV7rzEV8U+fPs3pcODxeHjkkUcQEBCA6OhotLW1cTpG0tPTMW7cOE4Q+dNPPwH4c06zKW1tbYiPjze6tjtDIpEgMzMTra2t8Pb2RnR0tNHAsTvry2t/roqKirB//362Y6Vfv36YPXs2xGIx8vPzERMTA6VSaTIALyoqgkQigbOzc5dLqxUWFqK2ttZkqn5OTg4mT54MHo+Hq1evcqatpaen4/HHHzdrVSbdUW/meTPvB6lUavB919jYaHSVIUC/s4RRVlam13HS3NyM9PR0DBs2rMv2MoqKivRWpNGe8mQJswP13377DZs2bcLGjRs5HxqVSoXNmzdjxYoVmDJlCubMmdOthhjDzGWzBBMEbdy4EdbW1pgyZQoAIDY2Fv/61784RSSOHz/OrutMjNMdUddOm7zdgbpQKISTkxOamprQ1tYGZ2fnLpeE603mjKgzmNfK3t4etra2aG9vZ38ULRlRZzDFm3R7t7XnzGi3RSgUYuHChdi5cyfmzJnD+aId9NFHOPvYY6jdu5ed87zkhx9QsWMHcOOL25L/tVgsZlMFtXsiFUIhqr29Ue3tjcWLF7NFKHlqNV5etAiOlZU4+c03cKyshHtdHfpnZsJZq2dfIRCg2ckJTc7OnFPsokXobG2FSCZD542gzM7ODg62tnjoxjxGYyOhHzY3w+XFFznzu5nRRibd3dyTXC6HSCRCU1OTwfnZPLUafKkU1goFrFUq2AOwhyYLoavztgA8wQ1sdTFV+o9BE/R2QjO6KQXQeuPUYuJvC4A2GA7yDS31ZejE3CYQCAxuJxQKMaamBn/X6TgFAH8AewDsePBB5Fq4zJNQLucE3Tbt7bBtbOQG4VrnbdvbNZ1DOlQ8HjpsbNApEkEuFKJTJILIzIOpFgcHSJycIFAqIVAqYaVQQCiXs+eZv7onYTfS0FU8Hhu0AwBfpYJAoYDQROE8HgDbjg48cPgwpDY26LCxgdTaGh02Nmi3tUWDqys6rK01txn4KxOLuXUQ1GpYKZUQS6UQy2Swlkrh2NICp6YmODU2YmRNDRbU1cH6xvO7KhAgUKkED4Y/j7odTU1NTbh06RIuXboEKysrhISEIDw8HFFRUV0W8TE0ncNQxeebQftAOisrq8v5p4yamhqkpaWxB/mWsrOzg6OjIxwcHGBvbw9ra2tOxxRTZ0Iul7NTEiQSCRoaGtjfdGNZLgqFApcvX8bly5cRFBSE+++/n7MsozFMQV9LXbhwAQcPHsTo0aON1tkwhZlzW1lZiebmZrS2trLPUSQSwdHREa6urggICICzs7PZUyZUKhXWrVtn1hJSDLVaDblcjp9//tni52GJlpYWpKWlGay5xMjLy9MLbvLy8vDrr7+aNR1GKpVi165dWLBgAfr3729Wu5KTk/UCl5EjR2L69Ons5QkTJqC9vV1vGdHCwkL07dsXTU1NcHZ2Zm9jgmFtI0aMYLMLeTwepk+fjtzcXDbgU6vVSE1NxbRp09hU/crKSoOjrI6Ojnjqqafw+++/c4LXtLQ0jBs3Do6OjlAqlRAIBJzXLTMzE/v37+dcd+bMGTz66KNsVXvtaQLdGZlngr6Kigps3bqV01lx9epVdHZ2YvHixeDxeOjo6EBBQUGXj5OdnQ1nZ2e9QHXYsGF6/5O1a9earILe0NCA5uZm2Nvbs2vIM1QqFQ4dOoSVK1eaPa9fJpPh6NGjSE9Ph6OjI2bNmoWQkBCUlpYa7Qw0ZzqELiY7U1dOTo5Fgbql9Y9MMTtQ37RpE1555RW90W0+n4+nnnoKubm5+PHHH3s9ULfEN998g1GjRsHe3h7Hjx/H66+/jn//+9/sB3vq1KmIjo7GE088gc8++wxVVVV49913sWrVKkpv74LuiDozms7j8SxKB7lZIiMjcfHiRcTGxmL06NG39P+pXUyO6S02Fqgz2/J4PHh5eXHm8Fgyos4wlhaq/fja562trREZGYn33nsPfD6fc/AYFhaGiIgI7Fer2RQd/o0DvK7a0RVj7xHt1FQ1jwdR375Av37Iz8vjVCoXyuVwaWiAc3MznJua2JNPZSWisrNh29EB3Khc/zYAuZUVrLZswTBbW/SVSDhZArp4AJwkEoxMScF1X1+o+HyoeTzwVSrw1WrNX5UKvBt/BUolhHI5RDcCIqFSCaFKBZFaDSEAIQBPkQhtajVESiU7Kivq7NSczPhhUvJ4kAmFf56srNiTQ3s7W8DPlHAnJwSIRLBSqWClUkGoVMJaLodYoYC1XK43Gq9LJhRCJhJpVg8QiSC7sYpAp0jEXt/VX4VAABWfD9WNv8ob59UAnruxDI3RUd8jRyCztYVQLof4xmsnlsnYQJwJuLX/Ggp2lXw+2m1t2VOHjQ2anJ3RfiMw7dC6jblOJhZrpnVo6VNcjGU3Rl5MSRw/HsVmBC961GqjQbyxk1DrPPNcvaqrMcjEyAlj74IFyBwwwPJ2GtFqoqAOT62Ga0MD/K5fx4D0dDiYGLFhOprGAtCtF6xQKJCXl4e8vDwcPnwYoaGhGDBgACIiIixKaWcKHd7KArim1pJWqVTIy8tDSkpKl/M6GTweD97e3vD394e3tzc7qMF8Rws7O9ksCZFMBjWfDxWfj06hEK0ODpCJRJz3OJM6G3TpEh5PTYWXVoqsoSlCJSUl+OmnnxAcHIwZM2aYHFA5ePAgXnrpJbOelzamOjJTMM4cUqkUWVlZyM7ORlFRkdmrPTg4OCAqKgoxMTFdZgtYqqmpCevXrzc7IOvo6EBhYSGqqqogkUigUChgbW0NV1dX9OnTp8v27d+/H4MGDTK6je4KTYWFhdi1a5fB18rJyQnW1taora3ljIar1Wr89ttvcHFxMVqZmwmgZDIZzp07x7nNx8fHYJX+qVOnIi8vjzMfm5lDHR8fj4ULF7LXX7p0idMmKysrvU44Ozs7DB06lFNZPCMjA5MnT0ZBQQHbgVRQUKCXSTBjxgw4OTlh9uzZ+Prrr9nXR6VSISUlBZMnT2YD9X/+858ANCOpe/fu1Qse6+rqsGXLFjz77LOwtrZGa2uryWxHqVTKdnRrq6iogK+vL9atW8cWyTP0f8vPz0dOTg6ioqKQnJysN0oeEBAAFxcXzih7SUmJ3vJ4AoEAsbGxnEBdJpMhPT2d8xyZTnztwPv69etQKpUGR5Lr6+tRXFzM+b/I5XI0NTXBxcWFzT5gHmPfvn3s8WpjYyO2bduG55577pZl2ZSXl7NZ5GlpabC1tcW0adPg5+cHtVqNU6dOIS0tDXZ2dnjggQcsXqfdFLMD9UuXLuHdd981evuCBQs4H6DbISUlBe+//z5aW1sRGRmJ9evX44knnmBvFwgEOHjwIFasWIHY2FjY2dlh6dKlVETJDNoj6mq1mpP2ficU7pk+fTqmTp16y+eCAtxicswPcVcj6oDmh8rcQF0sFnMquTMsDdSZjgLmddL+3zHXjRw5EmlpaQgKCgKAXgnUjXWcaC9TBPz5Wtrb23MCdblQiBovL9ToFINk9y+T4ampU+GuVCJ+2zY4S6UYERgI2dWrEN2YDtGV6VpzksyhvtEuZtSVOXWKRBDZ26Pe2hoSR0d0ikTovHF9p0gE+Y2/Bq+7cb1SINALFBnmBozx8+YZDBjDwsKQn5fHdh4wQfDAkBAUXLmiuSyTGf7b2Qn71la43giaRVp/e/NbgAfAvq0Ny3RGn2QiETpujAK329qizc4OtR4eaLex0QTcWn+Z4LtTJyDpLnOLLpboLCtkNh4PSisrKK2supzfbUqf4mKzAnVzV3voDWoeD/Vubqh3c4OKx0NYF6mVABAkFAImOrWY4DYvLw8ikQgxMTEYPnx4l0suAZpltwDNgfjIkSMhk8mwevVq2NnZ4bXXXuvRb1p1dTW+++47TJs2rcttmXTUM2fO6FVHNjSq7ebhgbCwMPTt25ct7CVQKuFVXQ3/8nL4XrwI14YGuDY0wL6LNMtOoRD1bm6o8vZGpbc3ioKD0a+uDosMBMWmiiUWFRVh3bp1GDVqFMaPH28wvbepqQk1NTVIT0/H6NGjb0oHSWNjI5KTk3H58mWzR+m0tbS0sFMmAgICMHbsWISGhvbK8U1CQoJZQXp5eTmSkpKQl5dnctqVs7Mz7rvvPgwbNszoXPkjR45gxowZeu3XPYZobGzEr7/+qhfs+fr6YsaMGfDz8wOPx0NrayuOHj3KGcFWqVTYvXs3VqxYYbAznhlVTElJ4Sw5CgCzZ882eLwmFAoxfvx4TgX/4uJiveK5arVabzR94MCBBo+jdAP1trY2di1rJlDXnT/s6enJrjjk5OSEwYMHc4LVjIwMTJo0ifN6yuVyHDhwwOgIb2NjI+Lj4zFz5kyUlJQYzEYoLy/H4cOHUVlZCT6fj8jISDzwwAPssVJVVRV8fX3R1taGvLw8kwFhcnIyom7UItENaMPCwuDg4MAJ1EtLS+Hj48PZztfXFy4uLmwGKEM3w8XPzw9isZhTaLe8vNxkVtDVq1fZ2/Py8nDgwAG0tbVBKBRi7ty56NevHzZu3Iiqqiq9jCSlUonk5ORbshwwoDm+P3nyJFsPob6+Hlu3bsXzzz+Pq1ev4swZzSKtra2t2L59e7emMxhjdqBeV1dnsoq2v79/t5cV6S3mpBQFBQVZvIYd+TOIZFLm7pT56dpuR5AO/BmESqVS9gvanEB95MiRnF5mUyNCTOaC7off2DISxlLfdX/UDR2EeHt744UXXmAPpm7miLru4zP/w+DgYIvSlmRiMdRRURB4e2PKpEnMzlGZno5LX3xhVmC7Z948VPr6QqBSgadWQ8nns6NQ2iclnw+5SASFiWB6wYIF2GvG2vTd0ZOA0draGo899hi++uorNDQ0QC4SgTmct/b0RHFYWLfaxFOrNYG/TmAvUCrBVyohuJGNwFcqwVepEFhaimEmKg4z4qZOxdX+/SG70ZlhrDbBraDm840XXbzxlym6eDvd9A6FHjK3g2Da/PmwdXVFQUEB8vLyTKY4dnZ2ssXFgoKCMHz4cERFRXX5m3DkyBGMHDmSXeu3ra0N9fX1cHd3R2NjI8RisckO1NbWVvz+++8YNmwYwm58dpgl2Y6a6PhTqVS4cuUKEhMTDRauMlS7odHeHscmTEB2VBRc6+sRdukSwq5dQ1BJCYQKBZR8Pqq9vFDr4YGCvn3R6OKCdltbSK2tIROJ2OwgkUwGh9ZWOEgk8Kirg3dVFQZkZMBKqYTqxufL2BShdWIxTolEaNI5OFapVDh79izy8/Px4IMPGiz+9e233wLQpCsvWLDA6GtjKalUisTERJw/f77XaoqUlZVh27ZtCAsLw4wZM/RGGRk7duzA7Nmz9TqcdXV10N7S0oLDhw+bPT2iqakJcXFxuHjxIubNm2ewMFdKSgqGDh2qt9KRdsq7UqnEnj179ILomJgYzJ49m9PpYm9vjwULFsDa2poTsDY1NSEpKQkTJkzQa0NbWxtUKpXeXOHIyEi9gFD38ePj4zmBYVpaGvsZAzQdYroxh7EK8e7u7vDz8+NUes/Pz2eDRIVCoZeqPGzYMM7xydChQznPWyKR6NUbSE9PN1qIjnHx4kWMHj0au3fvRmBgIOcYrqSkhLN2uUqlQlZWFmpqavDMM8+wx5rM96CpOdiA5n3c0NCAjo4OvXT2Pn366L1v29ra9I67PD092ewd7dt00949PT1hZ2fHCdRrampMdiQUFxejsLAQEokEu3fvZjvY5HI59u7dy753mXoEurKzs29pRq9u0cKOjg6kpaXpdVrofp6MGTNmjN4+DTE7UO/s7DQZSFhZWRmtJkj++oRCIQQCAZRKJVtRG7izAvXbhfmiYL48mTW1GYaKyQGaXtqpU6fi2LFjZtVhcHd3R2VlJWxsbDgV3Q3R/gLWDtR1D1yNjRZoF1ox9lwsYemX6fDhwy1e45XphNB+TmKx2OzAJXPAgF4Lsm7m58LcgNHH3x8VFRWc+zIjBIZ0VUTHZJt4PDYjwJxZtRInJ7MC9SofH7TcQWttGyu6KHF0RNz06ci+hbUxjLnTOxTM+TwCwIN79yJwxAgkjxqFUaNGoaOjA9euXUNOTg7y8vKMzqUtKSlBSUkJXF1dMWbMGMTExJis0N3R0cHpMK2pqYFIJMKXX2pKNpqah3z06FG20No777zDFqUypbCwEHFxcaitrTV4u7FCe86trVi0axckDg5wammBQiBAcZ8+ODlxIsoCAlDl7c3WKrCUlVyOESkpmHrihNFteAA8ZTL856GHsLehAWfOnNEbzaqursb333+POXPmGJ273JPvGV3Xrl3D/v37u5zL7+7uDk9PTzg4OEAkEkGtVqOjowMtTU0IuX4dzlKpwRUn8vPzUVxcbPT55OTkQCwWY/78+SYfn6mSbUhubi727dtn9sG9ttraWmzatAnz5883WGfJUGaB9hSMlJQUvWXKoqKiMHfuXIOdXDweDzNmzEB1dTUnSD137hyGDx+ut550XFwcioqK9KrHjxkzxuTzsrKywsCBA5GcnMxel5uby6amd3Z26nVqODk5GU3BB4Dw8HDOc7127RrbEVBUVKT3Wum+nl5eXvDw8OB8bvPz89HU1AQvLy+o1WrOqD2gSS+fP38+vv32W/b7Sq1W4/z585g2bRquXLmCsWPHAtB05uzdu9dgGntdXR2OHTuG2bNnIyUlBYMHD2bnnWubNWsWTp48yengyM/P1+usEQgE8PX1BZ/Ph0gk4sRuup9P5tjU3d3d5OCJh4eHXuDf1WBLQ0MDioqKkJycbHCptHPnzmHOnDlGpwN1dHT0yrK9PZGSktKtZfMAYNSoUb0bqAPAe++9Z7R3+XZVJCW3Bo/Hg62tLVpaWtDR0UGBuhbdINTBwYETLBqao86IjY2Fi4sLJzA25vHHH0dHRwf279/fZaBurHPAnBF1XTcr9Z3pgefz+XojIdbW1li5ciVOnTpl8iBHm6GUS/GNwle3OnC52TUSgl99FbsAvYCx1dkZh6dORXZUFJ6aPh0bN27k3I85WLhZ01Vee+01/Oc//+lyu66CNfB4UPr63rZRX1Oyo6KQExGBoNJStuhiSWDgbR9J13YndyiY83ncN3cu3OrrMTIlBcMvXEDS6NFIjo3FgAEDMGDAAMhkMmRnZyMjIwNFRUUGR9obGhpw4MABJCQkYOzYsRgyZIjB4EN3+dddu3bhkUceMeu5aAeITDq9MQ0NDTh27JjJ9ZL9vL3xfVMTeFKp0doNNlIpdixahIK+fSHvpdEkhVAIiZnr1zu1t2P48OEYNGgQTp8+jeTkZM73t1wux549e9Dc3IxRo0bpfddIJBLk5OSgs7MTffv2NTkabSyDQqVS4dixY5ylt7TxeDxEREQgOjoaYWFhBn+3orKzNZ8PrQD5Oo+Hv6nVnPR+5vlUVFRgypQpes+nqxFUU/744w+jmRcCgQBBQUHw9PSEUChEa2srSktL9UaRFQoFfv31Vzz00EN6weX27dvx+uuvs5e1RzdbW1v1iqe5uroaDdIZfD4fs2bNwrp169j/j0KhQGpqqt6oukwm0xtt9PXywqjOTjhkZJj87uzXrx8nUK+rq2Of++7du9mAkpkiMtbdHcElJUb3FxYWhlOnTrGXGxoaUFtbi/b2dr2ANzAwUO99yePxEB4ezgnUCwsLcfr0abbzQrdY3vjx4+Hi4oIhQ4ZwVpzKyMjAlClTcPHiRTZQT01NNRnwpaWlsR0cKpUKBQUFnM+HlZUVYmJiUFZWxhmBLiws1HvPuru7s8eCHh4eRteUZ24HwGaVGCs06eHh0eVAjlgshlqt5nQMVFVVGT3Gy87OxqRJk7q1fJ0uR0dHSKXSXh9Q7m6QbmdnBwGA8WZsa3agPm7cOJM/MMw25O5lY2ODlpYWGlHXwefzIRQK2R5B3QIhxlLfAc2Xv7kV6m1sbGBjY8MJAo3NUXd3d8ewYcNgbW3NCc51f4DNGem+GanvK1euZH8ABAKBwZRFZo4Y8yWu/RobYmjUjHmtehq4iMVii+YcicViREZGsr3ZuiPbPTVixAicGjIEa28EjMumTQN8fPDTlSuouzHX1cfHR29emaH0RFMMdaIY88orr8De3h6xsbGcAyxDTAZrPB54AKSrV0Ntxlzm20HN53evYNwtdCd3KJj7eUyOjcW4M2cw/vRpDLtwAacmTMDlgQMhFosxaNAgDBo0CM3Nzbh48SIuXbpksGiRRCLBoUOHcP78eUyePBnh4eFddlSZu4SWOR1earUaKSkpOHHihNEsAH9/f9x///2YyOfD3cQUPh4AkVwOqY1NrwXpDHOnJLTdCGCEQiEmT56MmJgY7Nmzh1NTBABOnDiBlpYWTJs2Te91YkZ13d3d8fzzzxt9LEOBukwmw6+//mpwCSk+n4/hw4cjNjbW6G8joAnSF+3apXe9r1qNPQAet7bGNp0R7uTkZEilUsyaNYvzO8qs7mFs6S1jkpKScMJABoOtrS3GjBmDwYMH6/3eMnONjx49qpdSvHfvXjg4OLAVzwH95aDWr1/Pnk9MTNQLWubNm2dWJ7OnpycGDhzICcJTU1PZoBPQzMdWKpWclPL5ANY3NcFD6z3ebOQ32NfXF/b29pzOMGZfV69eRXl5OXeKSEEBUFBgdH/e3t6wtrbmZC4kJiZi2bJlKC8v5wSgXi4u4KlUet+Vffv25RQ2rKiowKVLl9jihdqYZSUBze+1dqDe1taGkpISuLu7o6mpCUqlUm803sHBAe3t7ewIO1OtfurUqUhNTeWkmANgl64MCQnhBOrl5eV6mQ7MCDtPpcJ0a2u0AQYzSoA/sytdXFxMLqfKzGM3xdvbGwqFgtMxkJWVpZdxwZBKpbhkRuYdw9bWFkKhkN2f9v9ULhTiFI+HBp33PB/AJKEQbnK50dfgZniQz8ffv/sOzgC6CvXN/mYxtjg8uXdoV35nPgi3smrunUwsFrNBpO6XoqkR9e7QPkgwNqLO4/EMrvOpG8xOmDAB5eXlJped0D4A6cmIunaw6+HhwR686VYK1b0fQyQSdTtQB3oWuFhbW1scqD/88MNQKBQ4dOiQXqB+33336f0wW0p140CiuE8fYPFiAIA6I4O9XSgU4uWXX+aM9BmaO2oMn883e0qTr68v+140lWaszViwpvbzA+/LLyEdPx74+muz20v03ckdCuZ8HjtsbXF02jSkjBiBiSdPYu6BA7jvjz9wfMoUXOvbF+Dx4OTkhIkTJ2L8+PHIyspCcnKywWWD6urqsGPHDgQFBWHGjBl66aDatA/G1Wo11Go1+73LVGc3ZzkviUSC/fv3G00B9fb2xqRJk9C3b1/weDy4dzHnlGF/EwoomTMlgQdNFs/B2bNRdiMg9PT0xDPPPIMjR47oFeQ6f/48rKysMGnSJIOvle4IJKAJYmxsbHDs2DG929rb27FlyxaD815DQ0MxY8aMLrPTeCoVpsfFac7r3nbjef5PKERORAQu6cyNTUtLA5/Px8yZM9nn09zcjDVr1uCNN94w+bjaLl26ZDBIj46OxsyZM40GPDweD3369MEzzzyDw4cPc4IYpVKJvXv34rnnnjN6nMF0fLS2tur9rwYOHMgJ8rsSGxvLCdQ7OjqQn5+PpKQkjB49GhUVFSgtLWV/N5kpHTzdOjsSCRbt2oVdixZxgmsej4fQ0FDOYzAdaNevX8ccpdLgFBFT+/Pz8+N08JSXl2Pfvn24r6IC/4VWAHrlCpqLivQC/oCAAHYKKKOyshLBwcF6c9wjIyPZ94ibmxu8vb0579vc3FwMGzYM1dXVKCoq0utUeeSRR5CRkcE5Trh69SqmTJmCuLg4vc7Evn37AoBeLbH29naD887ZjBKt315DqzswA0/3NzRgOfQxhSZ3VlQgt18/vcEBbR4eHnqBuu77UJclyzLa29uzgbpep0J9PSr4fDyPP58fu43WcaWh16AnDGUgzAWwsaXF7AK83ZvQRO5J2pXfmd68wDswNfV20B4x1h1Rd3Z21qzn7eBgdhBjinbAaGngr/v4jo6OWLVqlcn7aI9q9CSDIiQkhO111j5oM/WaaD+/rpZfMpb6rq27gYu1tTXbOTV06FCDRVy0e/+ZKv1CoVDvoEskEmH69OkGA3XdH7nIyEijBYaMpYVqM/aaab/+uqMM2tuY+359+OGH2fNDhw41a94VYDhYW/T117B1cICrGc/PEE9PT73RvTuJ7jzHe5m5n8dGFxfsWbgQf9x3H6YcP47Ht25FQUgIjk2ZgmpvbwCa75EBAwagf//+KCgowJkzZ1BaWqq3r5KSEqxfvx6xsbEYP358l1lF69atQ3V1NYYNG4aJEydi27Zt7G2mvg8zMjJw+PBhg58tOzs7TJw4EYMGDQKfz4dzYyNik5Mx1MxA/WZU7DdnSsKxyZPRLysLT2/ciItDhuDE5MnosLGBUCjE7Nmz4e7ujuPHj3P2m5SUBLFYzBltNaagoABbtmwxuMKJVCrFL7/8ohekCwQCTJs2Ta/4lzFBxcVdLtfp3NKCvw0ahL2BgTh06BAnq+jixYtwdXXFqFGj2OtMzZPVzUgqLy/HoUOH9LabOHEixowZY9ZzEAgEmDVrFng8Hue3qKmpiZ3LbMr58+c52R18Pt9gthVPpTLakebp6YmgoCBONfHMzEwcP34co0ePxpkzZ9gsXD40ARFgvHNkelwc8kNDNUtO3gicBnl4QPubvL2kBHWFhagvK8O3TNtN7C8nIoLT8acbqF+/fh1NGzdil4HfGkMBv5WVlV6GXEVFBfz8/PTel+Hh4ZzLERERnG1KSkpQX1+PX3/9FVevXuVs6+fnB19fXwgEAs5xgkQiQUVFBdzc3PSWkmM6WVxcXPQyAHWnZ0zv6DCYUaK7uoO9vT0EAgF4KhUevpElp/t686EZgX7g2DHkRUWxmQDatzOBqj+ADAsGCwDoPU9TWX4ODg6wsrIyWufDW6Vinx+MbGNqhQtLGctAYIY3KVAnvY4JOGpra9kRC2Zpi3uddkCoG6gLhUK88MILvRKkA9xA3dK5xt2pjK/de2zJWsW6YmNjkZ2drTfi4efnh7y8PIP30R1RN6WrEfWe0D4gDw8PNxioBwYGIisrS+9xdQN1U6/h888/j5KSEuzcuVPvcc0xfPhwxMXFoY8FnRF2dnYGgwlmXdSujB8/npNm6uLigrfffhtpaWk4cuRIl/fXDdb4N14fS97bLi4u7PJWK1aswIcffmj2fY3x9PTE/fffj10GDmjM4e7ubnDE8Hbw8vLqlXl+3fX222/jk08+6fF+rvv5YfPSpYjIzcWUEyfw3Pr1SBs0CKcmTmSLDjIjcaGhoSgqKsLx48f1RtiZ9XCvXr2KBx54QO+gWhvzujEV5bUZ+tx0dHTg0KFDegffjOHDh2PixImwtraGd1UVRiclod/Vq+iwscGZsWMx9OJFOLS23paK/eZMSUiOjcWwixcxKT4ekTk5ODp1KtJjYsDj8TBq1Cg4ODjgt99+4wTaJ0+ehLu7u8FpXo2NjXB0dASfz2czGXSDdKVSie3bt+v9H21tbfHII490ORJsJZcjMjcXkTk5iDCzsnrotWsYOmkS7Ozs9JYvO378OHx9fc36nk3VWh60o6MDu3fv1gs0pk6ditjYWLPaxeDxeHjggQdQW1uL8tJSNhiqunQJNcOGwVOnqjoT8CiVSr1RzJiYGL2pAoZGXHXTyvv3788J1PPy8tist6qqKva2seAGK3rPBYCTRIJ3u/qOaGsD+vbF76a3Yvf3zIYNaHF0ZJdOva+1FdMBtANoAtBcUYHHbwTP5gb8Pj4+nEC9srIS169f12Td3HiufjwexiqVuK6VPh8cHMyuLgFoXh+pVKq3pBmgmZ8PaH6DXF1dOcFqSUmJXpabQCD4M539RoV2Y+uL8wE8eWOU2tDqDioA66B5L4UCGH3oEDzq6uBsIouHD83rHVxUBAcHB/Y7Uy9QvXABdTY2eBbGg2Dd6Q66+vbti4L8fIPz5B0cHGDF47GdQoY6FdQAfrxxmQfjr8FaAPvR/TR4Y50Ffgba1RUK1InZmBF15gCEmUNETAfqurf3VE/WZ+zO/8tQFdLuCAwMxPLly/XaMGfOHJw8edJg+r2pQF2319hQUGllZYXY2FhcuXKlRwUvtQNmY3MRra2t2fmW2m3RDThNBeq2tracZWtMvW8MjaiPHDkSvr6+8L4xymgOY503loyo6xKJRAb3Gx4ebrRTRvtxDXn22Wfx/fffd3mf3iqUt3Llyh7df/HixcjLyzO5TJclhgwZYtF8PW3PPfccqqursW7dul5pi6VEIpFZtQvMwuMhNzIS+WFhGHrxIu4/fRr9r17FudhYnBs9Gp1a3xPBwcFYvnw5MjIycPLkSb25kM3Nzdi+fTuio6Mxffp0g9/d2vbs2WPy9mvXruHAgQMG1/Z1dHTE3LlzERIcjODiYoxOSkJoQQEanZ1xZPp0XB48GHKhEDVeXre1Yn9XUxLUfD5Shw9HdmQkph07hgX79mHQlSs4OHMmGtzcMGDAACiVSuzfv5+z399++w1ubm5669xv27YN9fX1bHCiS61W49ChQ3rZEY6Ojli6dKnJVHfnxkYMT03F4MuXYdvRgQofH2T274/BRpZ70jbmRgfKhWHDYDVrFn4x8Hyee+459rhIrVbrffdkZ2dzOiuPHz+u9x6MjY21OEhn8Pl8vD9gAKaUlnIC4cqNG5G4YAEnbZsJ7q5du6aXZq37+Mbm8OuOMkdHR+Pw4cOconIVxcXovHABUZcu4cWqKvQHMNLM55M6bBgKQ0KgsLKCGprXdM+ePZB1dmrqMwBYNGcOZMeO4UkzquSrBALw1GrYt7ZCKJfDSypFGAA7AM4ArI3UjGAwAX9YXh7yIiMBaI57tTvqmQr4nKBUrQa2buV0bPj5+cHKyoqTyVBeXg5XV1e9wJRZho6Z6qAdqBvKEvLx9ETfsjL28+ru4mI0UB8LwNVALQ8GH4DnjedSK5WCV1YGnpl1ah7dtg2RtrY4BKAFgKGysq4dHSZHrPv162e0SCQAPGZjg6dgeJ58rb09BjU1ddkpZHixxT/xAQQCmCAQIF6pNFpAz9T9TXUWWIoCdWI2ZmSQCXhoNP1PplLfe9u4cePw22+/GV0z1JAFCxbg0qVLmMSsMW6Bnoyi6zK0fIq9vT3mzJljcHtTgfr48eNRV1fHBi/GArRp06YhODiYk7JqKVOV8xlqtdrgHHDdjo6uXk/t/ZsaUTcUqPN4PIunoxhLI+Pz+bCxsTFa6EX7Mc3d7+LFi7sc7Ta2PxsbGwwePLjLOW03y5QpUxAbG4uPPvrIrO1tbW0RGxsLf39//Pjjj+z18+fPN9rhYEpPMnJ4PB68vLxMTqW42XprjWt2fwIBUkeMQHpMDMaePYsxSUkYeukSTk2YgLRBg9jAksfjISYmBlFRUTh79izOnj2r15asrCwUFBRgypQpGDJkiMWdPZ2dnTh+/DhnnWVtAwYMwMzp0zG4uBijN2yAX0UFqry8sHvBAmT16weVVuB9J1TsN2dKQquDA/YsXIgrAwdi5qFDWPndd0gcNw5Jo0dj0KBBaG9v56TBM9XTly9fzunsZKaBZGRksPNstV28eFHvM29vb28ySHdpbMS4xEQMvHIFMrEYaYMH48KwYWhwdQVPpUJIUVGXy3X+unAhhl26hAmnTmG0SIRxISF4pbCQXX5SIpHg2LFjmDt3LgDgww8/xMsvv8wZmWYyowDNSKju8wgKCsLkyZMNPgdzRGVnY5GBNHovhYINqBnMe1p3zq+/vz+n88ScOfzT4+KQFxaGwPZ2POPiAu+GBvQD0A9A5PbtsNq2DQ8DKAWQCeA4gEfNeD5X+/XTe99d9vHhBJ2NTU3gS6V40oz9xU+axNmfSqXCJ598wv4mPwlgo+G7cjy6cyeaHR1R7eWFwfb2aANwHkAbNJkKA/Lz8V8D99Pt2PDy8uLMz66urtYL0u3s7ODm5sZeDgoK4nTQlpWVcSrSzwfwbV0dvLWWhnxALMZz4AbCfQCMA/Akj6fpSOjCUgB5gwZh5syZ6FNcjGVmLD15acgQyIqK8FJrK1wAvc5GoOsR6759+xoN1OcD+Ed6OnRbz6Srb6ypwchezBwLtbODo0RitICesayArjJILEWBOjGbbuE4ptePdD2i3ptiYmLg5+dn1pJu2veJiYnp1uMNHz4c+fn5Zlen702mAnU+n2/2AXVPpx3oBuqTJ0/GiRMn8MADD+Dw4cMm7zt48GAkJSWxo/+6gXpgYCAUCgW7tI72QaypdH9z5qgbo/26aQctDg4O7Gggj8fD/Pnz8d1335m9L22G5m2a8/8yNsIvl8sxZ84cTJ06VW9JLUsCq5EjR6KyshJqtdrs6t6G2ubk5NRlJwagmTsYGhrKpjf6+vpavIoA/r+9+46L4s7/B/7aXXpZepUuivQOoYMNFCtqjB1FY42xl8RTY3qMl3zP3CX5pZlc7tLOS2L07C1oNFZssUTUqCh2xAoI/P7AnWyZ2Z3ZnS3I+/l48NCdnfnMZ/u8P+X9geZjHDVqFK91uxWrK0gkEjzzzDNa1wU3JrFG5qirs7PDpq5dsS8lBZ23bEGfn35C+q+/YkO3bqhUaky2trZGQUEBYmNjsXr1ao0ep7q6OqxevRqHDx9Gr169mOdNl/Pnz+PHH3/UmEsJtPxm9i8sxJD6emR88gk8bt7EmdBQ/HP4cFSGhQEc71tLztiv7nR4OP4xaRJyt29H3vbtiD1yBD/16oXmjAxcvXpVJQP11atXsXnzZhQWFvIq+/r16xojUqysrDBs2DDW3z+XmhrklpcjoaICD+ztsb57dxxITkaD0ncu3+U6LwYF4WJQELZ07ozsHTsw+sAB9JdKsaCpCR8DaERL0JuSksI0QG/evBklJSUa9Wpubsa6x8Gvgo2NDfr376/XdDRAe0CtGOI74D//AWJigLo6eD54gOfu3cOgmhrUAXgI4AEAeX09HL77rmV4uJUV7O/f1zmH36W2Fi+89hpkj3+DrqMlIN8O4Eu5HHmTJ+Pv27djzeOpDFIA+VIp/JqaBE/p8Pb2Vvmsnjx5EtfQEixxDSPmKk8qlcLDw4PJYaJ9le8/bcvNhayxEb5XrqDr8ePoC+ARgAoAO5uaMOziReZxKlMfPs8WqKv/xgcFBal816t3bty/fx8XH5+PSdCnlmTXs64O/wHwNwCeAPLRMj+8CcB5noF6Ff685lckmnSurWV9vpsA3JHLsbZHD+zeuxcN69ZhE7jnYCt6rHPQ8p5R3p7b1ARIJKhqblbpudbVS90MYOypU7gpYsfSvAcPwNbtoWseux/LNkPwCtQPHz7Mu0B9gwFi+ZTn2trb27P2jrZVpuxRl0gkgrJ3G8rW1hajR/NpvxaftbU1k1iILVDnS+jSOerUh75nZWUhPj4ezs7OOgN1Z2dnzJ49G6+88opGWUDLYxwzZgxzW7lRQejQd314enrCx8cHJ06cQFpaGjZv3gzgz15YXbjmh+o71YAr6HZxcYFEImFdaSImJgYVFRUac4iVdezYETExMcxv1IoVK/Sq3/Tp01FTUwMrKyt89NFHvI7JzMzE6dOn0enx8Ek+793Bgwer9MipPy+hoaEax7i5uWH48OFYv349M8Vg6FA+fVnGZ6xAXaHG1RX/LSnB7vR0FG7YgBH/+hfOhIaiPCcHZ0NCmKDY09MTo0aNwqFDh7BhwwaVBiUpgNDz51Hz/vuwjouDc8+ekHE0lj18+BDbtm3j7P15KiQES3x8kLV+PewePsTxyEisLCnBJZ6/m5acsV9dg7U1NnftiiOxsei9ejXGrFiB/YmJsOnSBdXV1Sr5EXbv3o3IyEjWkT/K7/HGxkZ8//33Gkva9evXT2Nqj+Pdu8gtL0fKvn14aGeHTV26YF9qqkqArkzIqIVauRz/69kTO7KykL1hA/7x2294DsBsAGsBrF27FmVlZZBIJDh8+DBKSkrQ0NCg8ptz/PhxjWRjBQUFWpeQ0yWER1I8q6Ym3PLxgVtKCh40NGDHunU4U1MDWwB2aElq5SuXw+7hQzjfuQOrR4/gpGV+sLLD8fE4HBeHvffv4+//+XM2rvTOHVhJJDj7OGcI0BJs/V9YGN44fVrwlA71qRKK99LzaAmWmqAauOkqTzlQLwe/gH97Xt6fZTU14cc330RKfT2yAQxCSzDMRdGwEXz+vMb7trq6WuX3TAqgyM4OMUprzLu5uWkMmb969arWBH2KwHUagAMAvgLwM4CdANyDgrD/5k3OESVNAC4+fm66KqZ1PG7cGvTttxrPd9Pj8yuebzs7O7hqeT6UKQe0/dHSsBDw9dcY/3ibcs81nzwHAPC31FSU/fIL52uqeHwScL/uTQBuAghoaNA5j/0nAFlQHRavueYIO7YRB2x4Xb0mJCSwZuFUUNwnkUiM/mNMzEf5C6V9+/Z6twQ/iRQBla2tLa+1yQk/EokEtra2ePjwoVkDdeWAWSaTQSKRCGqQsbKyQnFxMXbs2IHi4mKV+9S/V5UDdV9fX+Tk5MDHxwcrV64ULThXviDu06cPbG1tUVVVheDgYCZQ5/P8BgcHM2vFqtOWCVkbrvNqa7Sws7PDtGnTtPasqwes+ubXcHFx0dmbHh4ertIgExYWxqwzr27IkCH46quvNLarJyHU9tgiIiIwePBgSCQSSCQSREdHM4G6mxv7jDxTJ7vLzc01ybSFS+3a4bPSUkScPIn87dsx6osvcLFdO5RnZ+NURASaHz9HCQkJ6NChAzZs2IDDhw9rzjE9dAhVhw/jk7g41HTuzCw/WFNTg0OHDuHXX39lfY/nymT4i58f8i9cQFNVFQ4kJWF3ejpqOF6HJ8lVHx98OmYMkvfvR9dNm9Dp5Em0y8jAuGvX8Ehp5M6aNWswfvx4jc965alTCHk8imD3H3+gWm1Zy9TUVJW57LYPHyLzl1+QsXs3mqRSbM3Px570dJU8BVyEjlqodXHB/wYNwmdr1+LpPXvwP7QM6Z5VVYXKykpmKuCDBw9URvw0NTVh69atKmV5enoiLS1NZx3ZeF+9iviKCiTxzFex2dUVA998E3erq/HStm1Q/gQGBwejdNgwlf35DnM+FB+PcyEhcFKbK97U1ISrV69qrLxxPDIS3yYlCZ7SwdUp8T1aejTfk8ngrxR36CpPeUnbJugR8EuluOblhY+rqvAxgGfQEgjr4nTnjkajw82bN5kRdsz3z8GDwOPvScUcd09PT42GHr6B6wyo9lq3c3LCurQ01hElik/otMf/V/4NOx4ZiblhYZh65ozKeS8C+GdSEhoeP992dnaCAlVAe+I1Rc813yxPHs3NnK+p8uODjn3+D8DLWs6jGBVQhZY5/QoXHpereGxcjSF3rK3RbGenNUmfAq+r17Nnz/LZjTzhlC8cadi7KkUQaeze9LbIxsbG4ECdz9D3mJgYHD16lLMO+pxXWWpqKlJTUzW2q8+XVS5fIpEweQX++9//qgTqhgTtMTExTCZmxXtWvYdWERimpaVhz549rOUMGDCA8xyBgYE4orSuu8LkyZNx4cIFrFq1ivU4fZLB6ZoG8dRTT2lsKyoqwsOHD5GamsoaKOui3hsmk8kwZMgQhIaGsr7flC8QlesaERHB63y6nhe+78uQkBCcO3cOKSkpGsNxgZblJG/fvs28v6KiopjVDAzB1WBgFI8Tzp2MiED7ykrk7NiBId98g1uurtiflISKhATcdXaGo6Mj+vfvjzGurnju5581ivFrbsaCQ4cw8NAhrHdwQHNzM2twHgDgaQATrKzQ4dEj3Lp7F1sLCrA/ORkPDVjSsjVqlkiwLyUFJyIiULR+PUo3b0a2szOm3rkDRVq1q1ev4tdff1VJYqaeZXwgWoIoRY+ah4cHunXrBgCwqatDyr59yN65E9YNDfg1PR07s7LwgGW0jda66jFqwbN7dww4dQrZNTVYCuAggB++/x7ny8pQ4+6ukcH7999/x83r15GHP3vdfPLzBf2OONy7h9gjRxB/+DD8L1/GfXt7nA0NRRSPfBOKpfzef/99jbqxffcohjnrmsOvGFZuZ2enkZn8woULuHHjhspx3t7eOB4QIHhKh6urK+d93wM4ExmJacnJvMtT/95WBPzq85C1Bfyurq7MEHa+QWlOeTkcO3TAYbS8Z5rRMmqksbGRM1BVzHHfHRSEd9ES9MUA6AygjOd51Ydh29vbc44ouYiWIPZ7pX2V/eLri7+eOaORWK1fSAhiH+9jZ2fHa6RCE4AvAfQE0P3xdq6l394F8AafBwvgnlzO+ZretLfHsw8eMI+PbR/Fc8C3YUB9glQAgOlomQoShZbHytYQ8F5sLO517Ypf3noL7FdCf+IVqGsbTkjaDkdHR0ilUjQ3N1MiOTWK3j4K1MWneG5lMpnKGppi9ah7eHhg3LhxOHfuHK9AXaykWDKZDI2NjRpL/CimNty5c0fr0HNDAvWsrCx4enpq/W5XPL89evTQCNTLysrg4+OjdfRIcnIyrK2tNbI/e3l5wcvLizNQ1wdXEOvr64thw4ax9mQ7OTlh+PDhvM+h6/m2trbm/b3I5z2kfj7lBEOGGDZsGKqrqxEQEMAaqA8dOhTu7u7MVA0rKyudve/p6elaM/WajUSCyvBwVIaHI+DiRSTv34+8n39G561bcSYsDCciInCqQweUVlToHOIYev++ynzJBADd0NIblA6gXiLBiYgIfJ6cjHMhIWgWafUBvgICApi5q5bgrrMz/jNwIPakpqLL5s3435072AngHQA/ANi2bRtiYmLg7OzMmWVcuUfNrW9fuNbVIa28HGl798Kmvh4HExOxPS+PWZrPFGQyGXJyc7Fq1SqsBTAGwKL799Hn73/H/uRk7FL7XXLbuhXnoBoM3N6wAeukUq2JAaWNjehw+jQSKirQ8fHomFMdO+Ln3Fz83qEDmiQSTPu//9M6hLkKwGk/PzQ3N6OmpkZjNQK27yu+c/iVg2F/f3+VQP3o0aMa31+KnA9CG0fkcrnWEb0u7u6Cy1P3PVoSm/V2ccHwLl10BvzKvyd8gtIHdna46e6Ogn37sB/AFQC70TIs/RCgc034l6uqkIuWZHAeAOoeH8eHekOCosNNeUTJsc2bsffiRY1s5uqBuq2tLZqg2kMPqPa829vb6xyp0AxgOAAfAC9CM9hVpui5/gda8kJIwd1LfdvJCeceT8VTvKaKRoX0vn2xx9YW3yt9z3wPYK21Nd4fOhQ7/vMfnL53j3kO8rTUSRlXwkU5Whpv3wF7Q0BjQACipFKN55KN3uNBf/vtN5w/f15jPT+u7M2k9bO3t0dJSQlkMplK1knSsramPhm3iW7KgbpMJmOCHCEJ4rQF6nV1dbCzs9OaYV35ePUhyQpClkQDWtZMr6ysZM3eP2nSJDQ1NRk8ZJ+LTCZjktdxUQS/6kHwpEmTNIbwcZ0jMTERmzZt0lgOyNgUF3ZBQUGiNZ4JWZteF6FTxLKyspCUlITVq1cbfG5ra2vd605bWTHD+6OiouDq6oqff/5Zo+dMoUePHpYZqCu5GBCAiwEBWF9YiJgjRxB1/Dh6rl2LXjpyTCguFN/Anz1aGQBc0JL1eYezM1Y89RQuJyWhzky957NmzcK6dessKlBXOB8cjM9Gj4bL7t1I3bAB/0FLYPN5fT2OrFqFqGee0ZoUrQnAJzIZqnfuRMfff0ejTIZ9ycnYnZGBWpagyxTi4uKwfft23L59G/8PwD8BvO7tjfGHDyP5wAEciY3Fr+npsDp/HgtZslCrZwNXkDQ1IfDiRUQeP47YI0fgdO8eLvv6YkP37jgSG4v7ar89XAG1Ith6HoDDhQvYvXu3xrJeDg4OnMPKha48oP57oP4+dHFx0XuJWqlUCrlczjnVSFuPOxu2QB1oec6OenriaGws6/1cZfAZPv9Tnz44HhkJWWMj9i9fjrTbt5EC4Dlon98OtLyuTo2NCAbwHoBtaAny6wGcg/Z51oq55sqUr18UjSZbfXywn+W7gy1QZ6O8n+I6SttIhVe9vPB1ZSWAlkSEX7KWquplAFd9ffG36mrO4eo/dekCK6U6KjcqeAcHw7qmRqNcqbU1zoWE4CdHR1xVuk4pB3DNzg4eDx8KXlJNgpbfjOtoybbf180NtrduqSzt1l/I9avA8+PMmTPo378/jhw5otLKpbiYoznqT7aYmBhzV8EihYSEYO7cuaKul05aqAfqDY8znIrVo67Ivh0cHIyEhASN5WsUxo4di7q6Oo3e2fHjx6OyspJ1HXht3NzcOI+RSqUaj8/HxweXL182OIM9X2zPr7W1Na8gXRlXT8i4ceN4J2MTasqUKTh+/Lje80CVzZw5EzU1NQgICNC6n5ARDkJHZXTu3BlSqZQZtm4KEydOxPXr19GuXTt06NAB3t7eCA0NxdKlSwG0XJw9ePCAGY7cWjy0s8O+1FTsS02F/YMHyN+2DekcUzuUzURLlujjAJZZWeFiaCjscnLgraPRw5gCAwPRv39/rfkWevXqBW9vb3z6KftCVB4eHhrDlEUnkeB2Rgaeu3oVqKjAZACTAbidPo27b70FJ7UOH2VSAG6NjWi8dg3ru3fHkbg4wUPcxSaTyZCWlsYsP/cAwMxr13Bj0iRkHz+O9D17kFhRgQaJhHWkhnI28Btubgi4dAlB588j/PRpON27hztOTjgaE4ODCQm4oqUBmM8Q5rTff8f69es1AnX17OJsZfMdpq5rtI+QFWrYKKbjsBGaa4QrUNd1nzL1xl++w+cbZTIc9/HBj0qPZRKAv/M451IAX6ttUzQQcI18mAbN5c/YOhq4RsapX89yXd8qH6+8j3KvdmZICDrm5eGPoCD8un078DhQ59u0uBnATS8vfJubi4IffoC30neG4v0eHRsLK44531ZWVqzXgYpt6vc1Afg4JgZz9+1jbRjgc/Xp93jf/c7OOK+UXJHtfNoIDtSff/55hIaGYvPmzQgNDcWePXtw48YNzJw5E2+/zba8PSFtg7YeWaI/9UBdQSqVIjc3F7/99huSkpK0lqF8nFwuh4+PD37//XcAYAJ/iUSCfv36wcXFBdu3aw5I4grU/Pz84Ocn9oIcmgYPHoytW7ciMzPT6OcC2IeT6zN/nCsobdeuHbPMnaHYholnZ2cbXC7QclEm9pQWbQ3aimWb2AL/iIgIkwXqdnZ2zHteJpNpNNLm5eUhKiqK98Wtsi5dumDz5s3IyMjArl27RKmvPh48nq/JJ1B/q6AAvwUEwNnZGZ6enggy8dB2NqNHj2Ya1LR9NnUlWTx48CB27Nghev3Ude3aFcuPH8e4ujpMRMuyUTMkEvTgcey2/HxevZ2mkpCQgC1btjCf5cbGRuw5dQrSrCzszshAVnk5umzbxnm8Ihv4pA8/RJNEgis+PjgUH4/jnTqhKiCA99QJ9YB655kz+FtFBROgKQJ09V5uPqP/+A5T1xWoG5LdHtA+pVBooM41Ig4A75GibPVRBKXPxccju317zoYN9WOP8Toj+1z47wHMCAzES7dva4x8eNHREd9f1jyKbdUUrkBdfSlZrkBdeT/1YxS92vV+frB5/F5SroOuqQPKIwOS7exwPDISn1y/jvotW1TmyUMqRZxMxhkAq18/Km9nqzcA7AkIwLTLlzG7qkqlAaZGJoM7j05pxbPP9rwJGhHKe8/Hdu3axSQhUvT6ZGdn4/XXX8fUqVNNktWVENJ2xMTE4Nq1a2jfvj12797NbJdKpXBxccHs2bN19q4rf3mPHz8ejo6OnOtJZ2Vl4fbt24iOjsa//vUvUR6DGFxdXdG/f3+jn8fPzw+XL19GfHy8xn36BOpxcXHYs2ePzuHWbBwdHXHv3j2NCwnFdgWha5Ibg1gZ+efPnw+JRKKSxFXxvHNdUIl1bqGEBunt2rVDVVUVkpKSkJOTg/r6el6Bure3t0YW6fj4eJU1uvXFN3lWXXY2wixspRP1xJP6ysnJMUmg7ujoiIKCAqxbtw6PAGwC0FBXxytQv6tHY5mXlxeuXbsm+Dg+HBwcEBkZqZLX5NixY3jqqafQJJXiLM/3yvacHOzMykK9AaPxlAPqGrkcTUqjwq5cuYIHDx5oPA+6RggJoavHXOjwdHXaAmih0zCtra01ljtT0BbEK+NqHGgCUBkYCFctDUrqx/KZ437b2RnlHD3Fv7Zrh3dLSzVGPvz8ww8AS6DOFjSyBals27l+f5Svr6RSKZN/h+tYlZw/4J46oJ6FXhHgy2xsNOZ223D0jCvXkS04VuzP9hxYWVlhm7s7/l5VpZJAry4+Hv85eBB+zc28ph2wPedCetQF/+o0NjYyLUKenp649Hj5jODgYJw8eVJocYQQolVUVBQmT54MHx8flQtTxf/5DIG3trZGly5dkJ+fr/OH3cbGBv369WuzKxuMHDkSQ4YMQVZWlsZ9+gQD3bt3x6BBg1jX89ZV3siRI9GxY0eVdeYBYMyYMSoZo/Vds91cevfuDQBMRn9l2kYyxMfHo0OHDigsLNRaviFBG1/6nKOsrAwvvPAC8xk0pJ5sPUP6UCTPAv4cMsrc9/hfrjWZnxS2trYG93rylZqaqjJ9phwtF7Vck0Ga0bJM1R965H8pK+ObG1s/cXFxKrcvXryImsfzYA+pNSxxORsWZlCQrk6RL0ehubkZhw4d0mjMEzqFSRtra2utvd6WFKgD3AE53+8Ubfvpqo96oK4IVBX/V6by/cPxXenk5MQ01ByNjW1JZCmVcgbVbNv5BOBstxXUg1yuoJfrfsXUgVtqz+vFx9sVWdoVo1a1lS80UFdcP3INi5fJZMyogK8f/wsbGyx4/H5Xf83UGxe4yhbSoy74lycmJoZpxU5PT8dbb72FnTt3YsmSJZzr6RJCiBjUh74LkZOTg/z8fOb2sGHDYG1trXWJsSeBosGBbw+Kvb09IiIiWH9I9AmsrKysEB0dzXpxo6s8Hx8fDB06VCNRn4eHh0qwauiFoBiE9GonJydj9uzZyMnJ4VWe4nmysrLCsGHDVBopxMb3NdZ3GT3li0LlMkaMGMGrDHd3dzzzzDOCz62NYq6venKyWrlcI+GXpdL2evB5bw4aNEjM6nCSSqXo0ePPPvQmAFOV/q/M0htKwsLCNL7Xjh07hubmZnxdVYULME4DhDY2NjYaq4Xs379f5babm5vo+XS0ja4xVqBub2+vV84WrkCbb6CubZqjrjLYHgsTqKo1ICi+f05ERXE2LnDVhc8wdW3brKysNL5TtAXBQs7B1jDwPYCZAwZgxahR+LhzZ+QDCMWfQbrycdoCda73g6KnnwtXMM0VwG9wcsJAtKysoEy9cYGrTkado75gwQJmyOGSJUvQq1cv5OTkwMPDA998843Q4gghhDdDAnV1HTp0wPz583mV4+/vb9C5zKmkpASHDx9+IhNBjh07Fr///rvgRH6WQMyVM/RdQrVz587YsmULevXqJUpGeaHUe/747Ddo0CD4+fnhjz/+ELUuQpJntWYdO3bEqcfLfQF/XjCaciWXkJAQREdH49ixlhm6+qxlbQlkMhk6deqkMuXz2LFjaN++Pa7fuqUzG7ixGiDatWuH6upq5rb60opCVyjhQy6XM2uLs91nCK73pr7vWUN71GUyGWxsbDRWveJTBtew+e8BeA0ZgoxHj1i/f9SneylwBepc2/n2qOvqFVemHojqOpazB9/WFucCAnBTLsf2LVs466StfG0Nlto6H9iuA7l64WUyGaytrTWWgPNLTMT/HTyo0TinbW48H4IDdeVejPDwcJw4cQI3b96Em5ubSYbbEULaLjEDdT5lzJw5Ew8ePLCIHlt92dvbIz09XZSyxP6OV/7BdXBwELy8YUBAgChzLbWt08uXIcezZd7mU97UqVNx9uxZ1iX++MjNzUVaWhpkMpngQJ3PeyEuLk5rokflMrSV5+bmhiuPl7ky5nWG0DWeW6PMzEwmUM/MzGSGvLu5uZm0Ht27d0dlZSUePnwIQDVDdHFiIrzi4lpFQ0lMTIxKoH758mVmvr+iAWK5RIJ2Sp9nYzdAqPeoC71fH9qGvhvaCKStR10fhgbqin3ZAnVdSYW1PRd2jo44x/E5FKtHnW9QzjdQl0qlGt/J+vSoK+/DVXdd88l1EStQt7KyYuqgvARcTz8/NLHkaWMr22iBekNDA+zt7VFRUaHSO2Po0guEEMKH2IG6LsbI+C2WkSNH4r///S/69OljsnOKHSQlJCTgyJEjCA8PR3Z2ttkaeydNmoRDhw7h+PHjxl+qisWUKVNw9OhRwasHuLu7s/7+duzYEba2trwS+NnZ2TErHxhiypQpOHXqFDZu3Mg0MpSUlGg9RiqVIikpCXV1dVoDxV69euHEiRMq2/gM3c3OzjZJkjRLoDwtka/u3bsbqTa6yeVyjBgxAt988w1qH2esbpZIYNO1K+5lZkKz79AyhYSEwMHBQSVPhmKkANASrF9NT8fYiAiTjdTQNf9czPnpCly/k8pBDR/t27dH5eOluxSEBqO6cAWKQgN1tiXjdJWhLZDXlsxOrECdLaA1tEedz37a5qirb9cVyJsyUOd6LGx14Ko323WN0QJ1a2trBAUF0VrphBCzMHWgbsnCwsIwc+ZMkwa3xuhRV08UZw5eXl7o2rWrQUufGdKjLpFIECvi0lN2dnaYM2cO78+IPq+r+jGenp7w9PREQ0MDtm7dyrscRUMTWxZmoOXCV3m4qOK8Tz31FPbu3cs6HFQhNTW1zQTq4eHhvPYz1woBbPz9/TFlyhSmZz00NFTUpHameKxSqRRRUVHYt28f5z6doqNxTsQs67roCsR1LaemD67h7Q4ODoK+XzIyMhAUFKTyHcIVdIodqAspjy1AVgyJ1obrHOr5O9QJrTNXIMk3aOQbDLOVZ2iPuq6kdWz382kMYnuciu8IrueFq0ddyLxztt9hIZ8JwVe6L774Il544QXcvHlT6KGEEGIQtqzvbZmpe6Cf9OlNhlzYCx22r4uhQYZMJjPL66XvOa2srJCdna2xvVOnTiq3FdNQ7OzsMHv2bGZo/bBhw/Q6r6lpuxg3hDFeaysrK2aFAmOxtrZGp06dkJCQYLLM82KLjo7mvM/FxQXt2rUzYW00G7fUGWMUrNB55FwrVzg7OyMvLw+enp7MNlMF6kISfLGdm0+PPFcwb29vr/UzzPVYuXrU+facK+qkzpBAXd8edeV55toCYa7eb120Bepc+3PNLxcSqGtbyYUPwXPU33vvPZw+fRr+/v4IDg7W+BAeOHBAaJGEEMIL9aibFwXq3Frz6gF854pzHaPMkHwO2oaFzp07F42NjRoXrH369EHv3r1bxXtz4cKFqK+vxxtvvMFs40oSpY/Y2FgcOXJE6z58n6d27dqhrKwMUqkUP/30kxjVe2IFBQXByckJd+/e1bgvJibGLO9Nb29v1vq4uroKCkj54hqazbU9IyMD69evZ24PHjwYDx48YJ0/b21tzZpHRMxAXXEOQ8rgWx9bW1uN6Ua6gnyuIFtIoM4VIPNNdsZWJttvpq7An2vYt/o+6qO3FfdrW2ZNG7bXt6mpifM+iUTC2eigb2OBtrpwEfxp7du3r8X+IB44cABz587F3r17IZPJMGDAAPz1r39lHTan7KuvvhJ9uRdCiPgUcxkB7uypxHgs9btfLPoG6jKZTPT3oyUNURYiJiYG169fF22EgeI9p+1CVrHPgAEDsHLlSlHOKzZra2tIpVKNC2tbW1vRAnU++LyvQkJCUFpaavzKPCGkUiliYmKwe/dujfvi4+N5lVFaWooVK1aIVidvb2+cOXNGY7tyT7UQAQEBuHjxIuf9XAE530RykVoS60kkEtja2jKJBxXEDNSFjnQxZA63nZ2dRiOKrsfCVj+pVMp7yTSAO0Dm29PMFpwqAl1d+ynXh089tPXU6zuUXNs+XIE6V4OFoQnijBqoL168WOghJnHp0iV07doVgwcPxnvvvYfa2lpMmzYNpaWl+M9//qOy72effYaioiLmdmvO6ExIW3L16lXm/6ZcToi0oEDddFrr75JUKkXnzp3Ncu7Y2FiLDdS5Pjvh4eHYs2cP73JGjhyJGzdu8J6Trg/1i1DFqgRcvcYEyMrKQkVFhUowGRcXBy8vL17H+/v7Y/z48fjwww9FqQ/XPHV9h73r+m4U2qMuFFugrivDOhe+ydO04ZspnQ1bvXUdy1ZnbQ0DQpYE4xtg8v39ZwtilbdxnU/Xcp3aetQN/e1me2xca69zbRfSoy5kRKjgsaNhYWGsWXFramoQFhYmtDjRrF69GtbW1vj73/+OiIgIpKam4oMPPsDKlStx+vRplX1dXV3h6+vL/On7YSeEmFaXLl0AtKylTEzvSQ/ULenxeXl54emnn0ZZWZnRz6V80cC3AcwYzxXbxZYx1nwWU3FxsUHHd+vWjfe+PXv2RFhYGFJTU026nNqkSZMwa9YsvXtjjWnBggXmrgKAlhFeI0aMgJ+fH+zs7JCamirovWFjYyN41QdtuJZgM9ZraG1tzRqoiBmo89mmb1mmDNT1OT/bMdoCQ66l1NiIHfhyBb266qHr/Np61A3F1aPOtd2ie9TPnTvHmvW9rq5O67AYY6urq4ONjY3Kk6cYKrdjxw6V1ufJkydj7NixCAsLw4QJEzB69GjOJ62urg51dXXMbeWht4QQ08rOzkZKSore66cSw1hSIGsM/fr1w5dffomCggJzVwUAEBUVZZLzSCQSjB8/Ho8ePbKYz9b48eNx9uxZpKSkmLsqWiUnJ2PNmjV6Hy8kQBByIagQERGBW7duCT5O/bxOTk4WNeJEQfk5sbGxUVnb2liJ+7j4+/vj2WefNagMV1dX1NTUGFwXrp58tkA9MzMTv/zyi8HndHBw0LhG1haoW1tbcy4NGR4ejuvXrzO32TrUxJ6jbqoy9AnyhZ5PSO+uMXqo1QkNrrUNfTdVjzpXQM41JF7IYzRK1vdVq1Zh1apVAID169czt1etWoXvv/8eL7/8MkJDQ3mfWGydO3dGdXU1li5divr6ety6dQvz5s0DAFy+fJnZb8mSJfj222+xceNGDBgwAJMmTcLy5cs5y3399dfh4uLC/PFZl5YQYhwSicRiAom2RBEwZmVlmbkmxuXj44MZM2YwmcT5ehIaMPz8/AT9vhn7Mfv5+SEzM1PwBZ4iMBBrubuxY8ciJiaG9b6ZM2fq1buTkJAAoGXNaDGpX6zOnz8fzs7OFhlgi0X5fai8QkBycrJeDRtPCmtra9Yl09h67fk0CPJ5D7EF5dpG6GRkZHDe17lzZ5XgnC0o17chxpDecDHK0OdYoXPi+SZ+AwwLfNn209Wjzoe24fNs9xkrUOd6LIYuuWaUHvV+/foxhY8aNUrlPmtra4SEhGDZsmW8T8zXvHnz8Oabb2rd5/jx44iOjsbnn3+OGTNmYP78+ZDJZJg6dSp8fHxUntC//OUvzP8TExNx7949LF26FFOnTmUte/78+ZgxYwZzu7a2loJ1QkibMnDgQNy4ccMih76K7UkIutuyOXPm4Pbt25DL5Zwj4PLz83Hq1ClcunRJZ3kBAQHo06cPjh49qnGfs7Ozym1t51RWXFyMjh07Cg7Udb03MzMzVeqpb4+joXx9fVFdXW2WcyuovzZCTZgwAR988IFItTGPsLAwVFRUMLe5pnqK9Z3HFqjrO/TdxsYGeXl5TGZ4fYa+5+fn4/jx47hy5YrKdjECdaFzxnXtp+tYocew3ceW+A0wTuDL5xxC91e8T00xAkBRByE97WbvUW9qakJTUxOCgoJw9epV5nZTUxPq6upw8uRJ9OrVi/eJ+Zo5cyaOHz+u9U8xN37o0KGorq5GVVUVbty4gcWLF+PatWta586np6fj4sWLKsPbldna2kIul6v8EUJIWyKVSuHl5UVBLGFY8nvBxcVFa/3i4uIEDVFmuyhnW/O9e/funGUo18fa2hpRUVGiB9L+/v6YNm0aANMtX2lraws3Nzekp6czvacdOnQwybnFMnz4cI1t5sqNIOY1Zl5eHrMahZWVFbp27aqxD9813vkEsmyfE7GSvuoTXOfn52PixIm8jlMP/rp27ap1RI8hwb6QpdO0HWMJPepsDF03nGt/Y/aoc9WBq8HA0Mdo1DnqZ8+eFXqIQby8vHhnzVRQJNH49NNPYWdnpzVZS0VFBdzc3MzW8kwIIYQQy8q6r42vry9r0KMsLy8P27dvZ26bKnB2dXXFnDlzVC7UlYMlsZPn2traYurUqZBIJMjKysKZM2cQExOD8vJyUc/DRqwlAMPDw5GSkoJ9+/aJUp4hSkpK8L///Q8ZGRn4/PPPBR2bnZ2NHTt2MLddXV0xZcoUXLx4ET4+PqxLSPr7+/Mq29raGiNHjsQXX3zBuQ9bcKgtUNf1eVe+n+3zI+bQd2V9+vRhpj81NDRg7969vMow5tB3XWuT89mfi9iBrxhD37WVK2bDgq4l27gei6GBulQq5V1nwYH61KlTER4erjFU/L333sPp06fx7rvvCi1SNO+99x4yMzPh5OSEjRs3Yvbs2XjjjTeYZW5++uknXLlyBU899RTs7OywceNGvPbaa5g1a5bZ6kwIIYS0NsboURc7/4S+dfT19UXHjh0RHR0tuNwxY8bg9OnTyM3NVQnU9a1LVlYWdu7cKagM9eHGnp6e6NmzJ5ycnODn54ecnBxRl/9T1EsulzPz701Bfe1t5UCUK4jnStZWVFTEBOqK0aGxsbE4cuSISLXlx9XVFUOHDtXrWLaVAGxtbbVOsejYsSOvspubm3Wu7BQQEKAxRcSQTjBdmcLZAnU/Pz+VvFRshAxzz8vL4x2o8x36rk+gLmRddMB0DYNsjBWoayvf0EZerrn2QnrUhQ59N1qgvnLlSiapnLLMzEy88cYbZg3U9+zZg0WLFuHu3bvo1KkTPvzwQ4wYMYK5X7F82/Tp09Hc3Izw8HD89a9/xbhx48xWZ0IIIaS18fDwEL3MpKQknDt3zqhrhPNhY2Oj91rwQUFBrEGitiBbvSdU+Zhu3boxgboh0tLSmP8rlrls7RSP6ZlnnsGRI0eQl5eHtLQ03LhxQyOojIuLQ58+fQAAV69exebNm1FZWclariIxcklJiUkCdV2jM/jSJ1gJDw/nzNUwZMgQfPXVV4LKUhYREWFQg55yIMpWjnqgnpeXBysrK41APTAwEBcuXOA8Thuu4Euf4euGHMsWlOvqDRayP599e/fujZdeeol3GcrM2XCgL6E95xYz9P3GjRtwcXHR2C6Xy1WWUjAHbUNygJYW06KiIhPVhhBCCHmyjBs3Drdu3UJAQIDoZctkMgwaNEj0ck1F6IUzn/sIN0Xw0qlTJybju62tLedoAUWApGu4tyLgNdXrwpbvQJe+ffvixx9/VNmmT6Cu7TFGREQIKsvDwwP9+/fHvn374ObmpnXaKR/KI2z4zNEOCAhg7U0fNmwYNm3axIyYEBr0sjH10He2x2/q7xS++QzYKNdH6HRmoeXrQ0iPOlejg7ECdcFNHOHh4Vi3bp3G9rVr1+ocFkMIIYSQ1qtdu3acy5U9yQxNLsbWwSFUawrotS29ZYla03MLgHU5ZEt4DHFxcRgzZgz69+/POidema6GhaioKGYqBVvjCt/Ha2dnp7IEnZDniWs6jqmHvptjqUH1xlhF/i99KAe3ppwew0dsbCzn+4urR53tvWv2rO8KM2bMwJw5c7Bo0SJs374d27dvx8KFCzFv3jxMnz5daHGEEEIIISajT8+jIdm4JRIJBgwYoPfxirnHYq+7ri4vL48Zbs+Gb+IxACgsLMSYMWPEqppJWULAy0ZXZ5jYOR7MTSqVol+/fpg+fTrCwsJUglWuxkK2efqA7teU6ztBIpFg0aJFKC4uVtnONyhnI1bWd6EM6fHNycnRuZKGNsYe+m7IZ9bKyor1+11ooG4xQ9/HjBmDuro6vPrqq3j55ZcBACEhIXj//fcxcuRIocURQgghhFg0fYL7rKwsXL16FUOGDNHrQlVxzJQpU1BfX2/0QKygoAC5ubmcvXcFBQWwsbFBZGQkrzXGLSngtdQVBfz8/HjtJ3a2fkvAdyi1i4sL7O3tMWzYMOzevRsuLi6s8/plMhliYmJw69YtBAYGqtxnaBbz1NRUJCYm4pVXXgEgfN11ZcboUXd3d8fNmzf1rpMuupbZy8vLw+HDhznv5/NdMG/ePLzxxhuC68bH0KFD8e9//5vzfiFD37leK4sJ1AFg4sSJmDhxIq5duwZ7e3udw1sIIYQQQtoSfefoDh48GGvWrMHAgQMBtFykm6q3VFtAYGNjg4KCAt5lGTNQNzThYI8ePfDpp58iKytLpBrph2+gPmfOHPzzn/80cm00eXp64vr160aZ7tKpUyeUlJTwfg5CQ0NZh/zn5OTg2rVrCA0NhUQiQW5urs6y1BPMxcfH6zxGuVfbkB5utmR2usrT9rmMjIzE1atX9a4PG/XeZF2fZeWAVldvs7OzM2sZxmyM0rW6gbYRFeq4AnV9lwvURa932qNHj7Bt2zZUVlYyy0hcunQJcrmcgnZCCCGEWJSQkBCcO3dOlLKM3TsbGRmJTp06WVSPtLqEhARUVFQgLy+Pcx9jPU9jx441KLEV0BKAzp4922TPsZDlmNTZ2dlBKpWioKAAZ8+eRUpKCut+hswhVigsLMT69euZRqZx48ahurpatDXrlUkkEp1DpvnQZxWDjIwMXLp0CY2NjQgMDGSSEfJl6h51Md6nijK4lihUJ/bn18HBAX379kWHDh1ELRcw7PkRmpRPyBroYhAcqP/xxx8oKirC+fPnUVdXh27dusHZ2Rlvvvkm6urqeA2HIoQQQp4Unp6e5q4C0WHw4MF48803AWjO5XVzc0NSUhI2b97Mebyph05bcpAOtGQdz8vL45wTbEwODg6Cnx9D55QaSp9AvaSkBGvXrsWQIUMAtCz9N3/+fNjY2KgEWikpKYiLixPleyg1NRUJCQnMZ8TW1hbBwcGc+7u5ueHWrVsGn1dffDsH1TONR0ZGYvLkybhz5w4CAgIEvxfYergV5yguLsaaNWs4j2XrPdenN7apqYn5v5D31ogRI7B8+XLB59NG+fnjanQwZsOYMbK+C8U1vcnQsgUH6s8//zxSUlJw6NAhlXVU+/fvT+uRE0IIaTPGjx+PnTt3PjHrUj/JJBIJSktL8ejRIzg4OAAAnn32WezevRtdunSBi4uL1kDdmJQv5Hr27GmWOgglkUjMEqTryxg9wmLQlqQwLi4OsbGxKkGIra2txn7du3cXdditkGkWHh4eZg3U+XJ2dsbo0aPx+++/Y8eOHQBaGhkMeQ+npKQwS775+/sz7zF9ytQnh4U+AeDYsWNZ30Pq1ANfU68dbiqKOnE9l2xTbMRoJBRC8DujvLwcCxYs0PhSCAkJQVVVlUGVIYQQQloLPz8/DBw4sFUFLG1ZSEiIyoWXv78/SkpKBC+dxjZPFhDnQjQtLc3gMsifpk6dir59+3IOFzcVtuXqEhMTdc6RN0VwoxxICA0YJRIJRo4c2SqW4wsODmZNQqevnj17oqSkBMXFxRg1apTWoE+5ocjV1VXjfvXGEfWpHXPmzNE4RnGeDh068HqfeHp6aiy5pk1iYiLvfZXPL0bvtNCGJ2N9TjIzMzW2yWQyk47QERyoNzU1obGxUWP7xYsXORMEEEIIIYQ8CTp37ixqeYpEXTSFQnzu7u5ITEw0+vJQXHr06IHRo0ezjrrp27evQXOd2eizDKDyEGq+wYa7uzucnJxQVFSEsLAwFBYW8g6C9Rk1MnHiRMHHcNGVWIwviUSC2NhYpKSkqASW6s+hra2tylKFDg4OKnPi4+LimFE+CmVlZSrLIarfD/wZECcmJqoEjvPmzUP//v019ld8BvgG0h4eHkyDQWRkpM79Fe9lMXKV6btufGlpqaD9tb3f/f39OeeoCy3LEIKHvnfv3h3vvvsu/t//+38AWip29+5dLFq0qNUM2SKEEEIIYcMWMPOZg6kvX19fzJgxg/Vi/EkjkUgQHBzMK7HfkCFDsHbtWl6JryyVlZWV1jne+lLuGFOe8xwbGwt7e3t8+eWXvMvSJ1AvKSlBu3btVPbPzs7Gpk2btB43f/58XkOv1XElylMOZvlSnrZrDKGhoYiMjMTx48c59xk4cCCOHz8OqVTKmshOKpVqfM907NgRp06dYm5nZmZi/PjxGq+ZnZ0daxZ7fRqrysrK0NDQwOs1mzhxIo4dO4aTJ08KPo+hwsPDsXjxYr2O1fae52rUYNvOd/UCoQS/asuWLcPOnTsRFRWFhw8fYujQocywd0WiFkIIIYQQc1Je7ofPckplZWVISUlhXVatqKgIzs7OKCwsFLWOCnK53KAln1qLBQsWID8/X+d+9vb26Nixo8HZ3c3NWPW3srLCnDlzMHfuXI0ATOjSdcqBui7dunVDSkqKRpDOlz5BujYRERGilmeotLQ0yGQylJSUaN1PseZ7VFQU7wA6MzOT+U4LDw/H0qVLBQWHQvM0KNYR1/aaKb8H3N3dkZOTY7bRK/rQNrqgT58+rJ8Nrvf94MGDRauXMsG/CgEBATh06BC+/vprHD58GHfv3kVZWRmGDRtmsnU+CSGEEEK0sbGxwbhx4yCRSHgFwYGBgQgMDGS9z8PDAzNmzLDIhEiWiu0CX9uQVisrKzx69AgAMGvWLEgkEvTs2RM2NjaIj4/HihUrjFVVo/H19TVa2YaOwFD02AoJ1M297rw6fT6Pup43MeZYK/eG6/udoX5ccHAwnn/+edy/fx9ubm4qMVdgYCBu3rypMcJBkTgPAF544QWNuolF7O9Foa+BMVbl8PX1xW+//aaxneuxCs11wpdezbdWVlYYPny42HUhhBBCCBGNmD2aui5GKYhX5e3tzbqdzxxPRUDv6OiIvn37quRGMvVSeQrBwcHIysrC119/LSi4tVRTp04FoD3zvJhycnJMch5d0tPTjbbCg7G/A+zs7FRGCin06NEDbm5uTL4LAMjNzUVDQwOuX7+OpKQkJCUlMWWUlJRAIpFg5cqVAFre23/88QdzLN+klorHK3YvurbP+Lhx4/DSSy/x3p8PIa8b1zrqXHVISEjAL7/8orJt0KBBqK2txRtvvKHzfHoF6idPnsTy5cuZ+ReRkZGYMmUK6zwLQgghhBDStg0dOhQAODNPFxQUYMOGDUxAYUkCAgJQWloKiUSiclHfvXt3bNiwgfUYsYd5CzF48GB88803nPe7ubkx89y9vb1RUlJi9ICdbd60ORiylJ2rq6vWnAmmbIxQDgzt7Ow0ppRYW1ujqKhI5bZCXFwcgJbEbzdu3ECnTp1QWlqKuro6BAUFcSaPk8lkKo1m7du3R3JysigJ5Pgy93SY9u3bY9u2bbz3d3R01NgWHR2N2tpaXscLbgJZuXIlYmJisH//fsTHxyM+Ph4HDhxAbGws0zJDCCGEEEII0DI0V5Ftm6v3LSMjA1OmTEHv3r1NWTUNbL1rjo6OzPawsDBme2ZmJoYMGcJaDtd2gF/OBEPoGt6tnjAxLi4OISEhRqnLhAkTMGzYsCdiVYOysjIUFxez3te9e3eTBqxiCA0NRUpKCgoKCvDcc89h4sSJGDVqFOcUlY8//pj5v1QqxeTJkzU+r2yJ/4Q2YBhj1EyvXr047xPSo961a1fW4FuMstkI/qaYM2cO5s+fjyVLlqhsX7RoEebMmaPX0hCEEEIIIeTJIpfLUVtby2vEpUQi4QzmlIN7Uw3VVqZ8sa3e0BAREYHnn38ecrkcX331FU6fPg1Ac21sZSNHjjRORXlITExkXS7OWHx9fY06V9+UnJ2dkZqaijVr1mjcl5qaKuq5dAWrYjb2NDc3w9HRUWcA2q9fP6xfvx6XLl1CREQE6+iY2bNn45133mFuJycnm/T9xiUlJYV1u0Qi4fyssgXZNjY2SEpKwvr161W2G2tKjuAe9cuXL7N+wQwfPhyXL18WpVKEEEIIIa1JW8jaLtT48eMxePBgZGRkqGxv3769oHIkEgnmzp2L2bNnGyUZljJdF9xs97u5uUEmk+GZZ57RWf6oUaMEZ+AWS1RUFPr27dvqen65COnZ5EvfHlBd70uxl180doMV1/MQERGBgoIC+Pv7cy5T9swzzyAkJATx8fGsI0uUh+QDfya6Mxeu7262x6fIhm8qgs+Un5+P8vJyje07duywmEQRhBBCCCGmUFBQgMjISMHBZ1vg6OiIyMhIjQtbfeZv29vbGyUwE5OlJxT08vIy6fmELhUnhLu7OzOdQkxi94wq3hNDhgyx+PevWCIiIjBq1Cj069ePdbnLhIQEREVFwdHREfHx8ejcubPK/co98oD2aSSAYa+ZWLkTjNWjLrj5t0+fPpg7dy7279+Pp556CgCwe/dufPfdd3jppZewatUqlX0JIYQQQp5UeXl55q4CEZEhwba2Y/38/HDjxg3OZHqmkJ2dbdLzcQ03FkO3bt0svmFEWWBgIGbNmqWRsdwSuLq68tpPfYi4m5ubzmPYkvcVFxerNNYpEhtmZWXh7t276NGjB95++20cPXqU6aE/cOAAs3///v3x/fffM7cXL17Mq/7qvLy8EBgYyPk+EuP9ZWgALzhQnzRpEgDgH//4B/7xj3+w3ge0PDjlzICEEEIIIYS0Rc8++yyampq0riVvbMaeNkC0k0gk6NevH3744QfBx2ZmZmos8yUWvpnw1UfCZGVl6XW+yMhIbNq0ibmdmJgIACq97wMGDGDynvn5+akcP3fuXGzbtg23bt1CSkqKSn6A5cuX47nnnmNu9+/fn7MeuhoazLUUpDLBQ9+bmpp4/VGQTgghhBBCSEuQZs4gnViGhIQEvY4Te467Mn17jsVaglBoA1JUVBSee+45LFy4EMXFxSr1HzFiBCIiImBtbY2IiAimEQAA0tPTVcpZtmwZAPZM9UJxBfUmz/pOCCGEEELIk8ISes7E1JqGhOurNT9Gf39/XLp0ydzVMAm2xGuGvnbNzc2cZbi4uKgkdbSzs2P+n52djZqaGly9ehVJSUlITk4GAEyZMgWLFy9GU1MTgD/XmWcL4JXLMwXePeq7du3C6tWrVbZ98cUXCA0Nhbe3N5599lnU1dWJXkFCCCGEEELMRTkoaA1BfUBAALy9vc1dDcKBLet+TEwMQkNDMWbMGNZjWsP7jo0YvdVxcXFwdnZmRiPo25Pv5OSEZ555BlOnTkV2djbzuXZzc8Pw4cMRHh6OxMREpqc9OjpaZWnB5ORkODs7mzTXA+8e9SVLliA/P59ZMP7IkSMoKytDaWkpIiMjsXTpUvj7++s9oZ8QQgghhDz5WmvQoYul9PJKpVJMnDgREokEe/fuxZo1a5j5vqYUHBxs8nPy4efnZ7Ilpfm8J0JDQzFw4EAT1IY/sd7LLi4uGtv4JKFTZmtrixkzZjB1EmvIvbLQ0FCEhoYCUJ0TP2LECOzevRtSqRRTpkwBABQWFiIkJATnzp0D0DK3vrm5Gc899xyWL1/OHLts2TKDO7F5B+oVFRV4+eWXmdtff/010tPT8dFHHwFoyWa4aNEiCtQJIYQQQggxI0VQk5qaqpJsy5jkcjlqa2sBtKyNzTdJmT4MCSRLS0vx+uuvi1gbYdTXQLeUBh5T0efxmus5cnBwYJaPU+QJkEgkePHFF7FhwwY4OjoiODgYNjY2mDVrFr7++mtcu3YNgYGBGD16NABgwYIFzLD6kpISQefnPfT91q1bKsMXtm/fjh49ejC3U1NTceHCBUEnF+LVV19FZmYmHBwcOJcROH/+PIqLi+Hg4ABvb2/Mnj0bjx49Utln27ZtSEpKgq2tLcLDw7FixQqj1ZkQQgghhFg25SCAbU4tEc6YQToAtGvXTu9jbW1tzbqsIt/l0IjpqDee6GJjY4OoqCgEBwcz00yCgoIwfvx4zJo1C6WlpXBzc4ObmxsGDx6MwMBAREZGMsPq+eL9beTj44OzZ88CAOrr63HgwAFmHXUAuHPnjlGXfaivr8egQYMwceJE1vsbGxtRXFyM+vp6/PLLL/j888+xYsUKLFy4kNnn7NmzKC4uRkFBASoqKjBt2jSMHTsW69evN1q9CSGEEELInyytB1EmkyE1NRXx8fGsQ3Vpvjc/pnhdZTIZZs6cyTrPW4j8/HzOmMLY9HmentTpIsZmZcVv8LghDXTdu3dn/i+TyeDo6KhSXseOHTFmzBg8/fTTghuYeNeqZ8+emDdvHsrLyzF//nw4ODggJyeHuf/w4cNo3769oJML8dJLL2H69OmIjY1lvX/Dhg347bff8OWXXyIhIQE9evTAyy+/jL///e+or68HAHzwwQcIDQ3FsmXLEBkZiSlTpmDgwIF45513jFZvQgghhBDyJ/WgQ2hvljEUFxejf//+KkHUuHHjkJuba9LkUa2ZYl3tyMhIo53DxsYGzs7OBpcjkUjg4+ODgoICREVFiVAz0xF7tEJrbwTQtuzh4MGDmf+PGjWKV3lcDSnKz5Py/8PDw3mVqw/egfrLL78MKysr5OXl4aOPPsJHH32k8kb59NNPVVoUTG3Xrl2IjY1VGZ5fWFiI2tpaHDt2jNmna9euKscVFhZi165dnOXW1dWhtrZW5Y8QQgghhBiuc+fOnJmuza1du3bo3LmzyohRbUGNpY0UMLXU1FRMnDgRgwYNMndVeMvLy8PTTz8termKxh3lacKGUO6JjY6O1rm/YumxtkDb587f35/5vyJZnBhMtUwb72Rynp6e+Pnnn3H79m04OTlptF589913Bg9DMUR1dbXGEgCK29XV1Vr3qa2txYMHD2Bvb69R7uuvv46XXnrJSLUmhBBCCGm7cnNzzV0FozBGZmpLp+ilJkDXrl2Z3FpiUJ7XzqcHvFevXti/f78o5yYtlJ/3gIAAHD9+XHAZQhvzBA/Id3FxYR1i4O7uLngoxrx58yCRSLT+nThxQmgVRTV//nzcvn2b+TNmwjxCCCGEENJ69e7dG926daOEYUS0IF0fho7uaOujQ9h4enrqdZxyRzbfOfPM/nqdUSQzZ85EaWmp1n3CwsJ4leXr64s9e/aobLty5Qpzn+JfxTblfeRyOWtvOtDSItoWW0UJIYQQQogwbWnIMRGH0KBY6JxyCrrFoe/zaEgOALMG6l5eXvDy8hKlrIyMDLz66qu4evUqk51z48aNkMvlTJKIjIwM/O9//1M5buPGjcjIyBClDoQQQggh5MnV2hNvtXYUdAp/D7a16Qienp64fv263seL/R7r2LEjDh48qNexrWaxyPPnz6OiogLnz59HY2MjKioqUFFRgbt37wJoSY0fFRWFESNG4NChQ1i/fj0WLFiAyZMnMz3iEyZMwJkzZzBnzhycOHEC//jHP/Dtt99i+vTp5nxohBBCCCGEEB2MHahTQ0zrN2TIEHTq1Anjxo0zd1UAgHPUNh+tJlBfuHAhEhMTsWjRIty9exeJiYlITEzEvn37ALSk5l+9ejVkMhkyMjIwfPhwjBw5EkuWLGHKCA0NxZo1a7Bx40bEx8dj2bJl+Pjjj1FYWGiuh0UIIYQQQloJmg5pHgMGDICTkxOGDBli7qoYTJ+M4W5ubsz/ha753dYaHzw8PPDMM89oXbPc0CXVTDWyw6xD34VYsWIFVqxYoXWf4OBgjaHt6vLz8/UefkAIIYQQQgzj6+urV8ZkS1BUVITbt28jLS3N3FVpU2JjYxETE/NEDH2PjIzETz/9xNzmk4xbaHCuTFegzvacPukNUtrWXrckrSZQJ4QQQgghrV9WVhaAlrmbrY1cLreYIbVtjSmCdH3OERERIWh/9aC7qKhIYx9twbXYPeQSiQT+/v64dOkSgJZOTUNyiAUGBvJeJcvd3Z11e1hYGM6cOaN3HXQx5SiDVptMjhBCCCGEtC1WVlbIy8szdzUIMVj//v3RqVMnvY8fMWIEXFxcRKyRfjp06KASqBvCzc2Nd6DOFcSac7i+JY3aoECdEEIIIYQQQgSKj4836HixVr9i06lTJ5w4cYLX6lbZ2dmora1FZGSkwee1pECXS2uZt0+BOiGEEEIIIaTNM0UAp28gK5PJ0NjYiLCwMF77P/3007h16xY8PDx07mttbY2+ffvqVS9DcD3fT9IceRr6TgghhBBCCCGtiJAgbtq0abh06RLv3A5SqZRXkC42MXrUe/TogTt37uCpp54SoUaatD3vlpRojgJ1QgghhBBCCLEQzs7OrNuEJq6zVB4eHrhx4wbnUHsXFxejJm3UFqi3b9/eZOfShQJ1QgghhBBCCLEQRUVFaGhoQEpKirmrIhifHvUxY8agsrISUVFRJqiRMIYshSc2CtQJIYQQQgghxARsbGxgZ2eHR48ewcnJiXUfZ2dnDB061MQ1Mx1HR0fExcWZuxp6M1XCPArUCSGEEEIIIW0enyRm4eHhOH36tN7D0CUSCWbNmgXAsuZDi8XGxsbcVeDUpUsXlJeXo7Cw0GTnpKHvhBBCCCGEEKKHnj174o8//kB0dLTOfQcOHIiTJ08atH66ldWTG4Ll5eXhwoULSEhIMHdVNOTk5CArK8uihrdr8+S+SwghhBBCCCFEh7S0NKSlpfHa187OzuD1059kDg4OePbZZ81dDU76BunmWB++dTQnEEIIIYQQQgghZqBv44whQ98pUCeEEEIIIYQQQjjwyV8gNgrUCSGEEEIIIYS0KjExMWY5b4cOHQAA9vb2Kts9PDwAAGFhYaKch+aoE0IIIYQQQghpVby8vMxyXk9PT0ybNg0ODg4q20eNGoWKigokJycz22joOyGEEEIIIYQQoykuLgYA9O3b18w1EZc+ieJcXV01lqKTy+XIzc2Fo6OjKPWiHnVCCCGEEEIIIVqlpqYiPj7eotdKF1O3bt2wceNGs52fetQJIYQQQgghhOhkCUF6XFwcZDIZkpKSjHqekJAQg8swZOg79agTQgghhBBCCGkVSkpK0LdvX8hkMqOexxxrpyujHnVCCCGEEEIIIa2GsYN0S0CBOiGEEEIIIYSQNolrOTUx1k6noe+EEEIIIYQQQohAvXr1wsmTJzXmvHt4eKBLly4ay7CZCgXqhBBCCCGEEELaJIlEglmzZrHel5OTY1DZtI46IYQQQgghhBDyhKBAnRBCCCGEEEIIsSCtJlB/9dVXkZmZCQcHB7i6urLuc/78eRQXF8PBwQHe3t6YPXs2Hj16xNy/bds2SCQSjb/q6moTPQpCCCGEEEIIIW1Bm0gmV19fj0GDBiEjIwOffPKJxv2NjY0oLi6Gr68vfvnlF1y+fBkjR46EtbU1XnvtNZV9T548Cblcztz29vY2ev0JIYQQQgghhBA+Wk2g/tJLLwEAVqxYwXr/hg0b8Ntvv2HTpk3w8fFBQkICXn75ZcydOxeLFy+GjY0Ns6+3tzdnrzwhhBBCCCGEEGKoxMREVFRUwN/fX/CxrWbouy67du1CbGwsfHx8mG2FhYWora3FsWPHVPZNSEiAn58funXrhp07d2ott66uDrW1tSp/hBBCCCGEEEKINsHBwZg+fTrKysoEH/vEBOrV1dUqQToA5rZiDrqfnx8++OADrFy5EitXrkRgYCDy8/Nx4MABznJff/11uLi4MH+BgYHGexCEEEIIIYQQQp4YLi4ukMlkgo8za6A+b9481uRuyn8nTpwQ7XwREREYP348kpOTkZmZiU8//RSZmZl45513OI+ZP38+bt++zfxduHBBtPoQQgghhBBCCCHqzDpHfebMmSgtLdW6T1hYGK+yfH19sWfPHpVtV65cYe7jkpaWhh07dnDeb2trC1tbW151IIQQQgghhBBCDGXWQN3LywteXl6ilJWRkYFXX30VV69eZbK4b9y4EXK5HFFRUZzHVVRUwM/PT5Q6EEIIIYQQQgghhmo1Wd/Pnz+Pmzdv4vz582hsbERFRQUAIDw8HE5OTujevTuioqIwYsQIvPXWW6iursaCBQswefJkpkf83XffRWhoKKKjo/Hw4UN8/PHH2LJlCzZs2GDGR0YIIYQQQgghhPyp1QTqCxcuxOeff87cTkxMBABs3boV+fn5kMlkWL16NSZOnIiMjAw4Ojpi1KhRWLJkCXNMfX09Zs6ciaqqKjg4OCAuLg6bNm1CQUGByR8PIYQQQgghhBDCRtLc3Nxs7kq0JrW1tXBxccHt27chl8vNXR1CCCGEEEIIIa0E33jyiVmejRBCCCGEEEIIeRJQoE4IIYQQQgghhFiQVjNH3VIoZgrU1taauSaEEEIIIYQQQloTRRypawY6BeoC3bhxAwAQGBho5poQQgghhBBCCGmN7ty5AxcXF877KVAXyN3dHUDLcnHanljy5KmtrUVgYCAuXLhAiQTbEHrd2yZ63dsmet3bLnrt2yZ63dsmc7/uzc3NuHPnDvz9/bXuR4G6QFJpy7R+FxcX+kC3UXK5nF77Nohe97aJXve2iV73tote+7aJXve2yZyvO58OX0omRwghhBBCCCGEWBAK1AkhhBBCCCGEEAtCgbpAtra2WLRoEWxtbc1dFWJi9Nq3TfS6t030urdN9Lq3XfTat030urdNreV1lzTrygtPCCGEEEIIIYQQk6EedUIIIYQQQgghxIJQoE4IIYQQQgghhFgQCtQJIYQQQgghhBALQoE6IYQQQgghhBBiQShQN8CpU6fQt29feHp6Qi6XIzs7G1u3bjV3tYiRbdu2DRKJhPVv79695q4eMbI1a9YgPT0d9vb2cHNzQ79+/cxdJWJkISEhGp/1N954w9zVIiZUV1eHhIQESCQSVFRUmLs6xMj69OmDoKAg2NnZwc/PDyNGjMClS5fMXS1iROfOnUNZWRlCQ0Nhb2+P9u3bY9GiRaivrzd31YiRvfrqq8jMzISDgwNcXV3NXR0VFKgboFevXnj06BG2bNmC/fv3Iz4+Hr169UJ1dbW5q0aMKDMzE5cvX1b5Gzt2LEJDQ5GSkmLu6hEjWrlyJUaMGIHRo0fj0KFD2LlzJ4YOHWruahETWLJkicpn/rnnnjN3lYgJzZkzB/7+/uauBjGRgoICfPvttzh58iRWrlyJyspKDBw40NzVIkZ04sQJNDU14cMPP8SxY8fwzjvv4IMPPsALL7xg7qoRI6uvr8egQYMwceJEc1dFAy3Ppqfr16/Dy8sLP//8M3JycgAAd+7cgVwux8aNG9G1a1cz15CYSkNDA9q1a4fnnnsOf/nLX8xdHWIkjx49QkhICF566SWUlZWZuzrEhEJCQjBt2jRMmzbN3FUhZrB27VrMmDEDK1euRHR0NA4ePIiEhARzV4uY0KpVq9CvXz/U1dXB2tra3NUhJrJ06VK8//77OHPmjLmrQkxgxYoVmDZtGmpqasxdFQb1qOvJw8MDERER+OKLL3Dv3j08evQIH374Iby9vZGcnGzu6hETWrVqFW7cuIHRo0ebuyrEiA4cOICqqipIpVIkJibCz88PPXr0wNGjR81dNWICb7zxBjw8PJCYmIilS5fi0aNH5q4SMYErV65g3Lhx+Oc//wkHBwdzV4eYwc2bN/Gvf/0LmZmZFKS3Mbdv34a7u7u5q0HaMArU9SSRSLBp0yYcPHgQzs7OsLOzw1//+lesW7cObm5u5q4eMaFPPvkEhYWFCAgIMHdViBEpWtQXL16MBQsWYPXq1XBzc0N+fj5u3rxp5toRY5o6dSq+/vprbN26FePHj8drr72GOXPmmLtaxMiam5tRWlqKCRMm0LSmNmju3LlwdHSEh4cHzp8/jx9//NHcVSImdPr0aSxfvhzjx483d1VIG0aBupp58+ZxJgpT/J04cQLNzc2YPHkyvL29UV5ejj179qBfv37o3bs3Ll++bO6HQfTA97VXdvHiRaxfv56GQrdifF/3pqYmAMCLL76IAQMGIDk5GZ999hkkEgm+++47Mz8KIpSQz/uMGTOQn5+PuLg4TJgwAcuWLcPy5ctRV1dn5kdB9MH3tV++fDnu3LmD+fPnm7vKRARCf+Nnz56NgwcPYsOGDZDJZBg5ciRotmjro8+1XVVVFYqKijBo0CCMGzfOTDUnhtDndbdENEddzbVr13Djxg2t+4SFhaG8vBzdu3fHrVu3IJfLmfs6dOiAsrIyzJs3z9hVJSLj+9rb2Ngwt19++WUsX74cVVVVNCSuleL7uu/cuROdO3dGeXk5srOzmfvS09PRtWtXvPrqq8auKhGRPp93hWPHjiEmJgYnTpxARESEsapIjITva//000/jp59+gkQiYbY3NjZCJpNh2LBh+Pzzz41dVSIiQz7zFy9eRGBgIH755RdkZGQYq4rECIS+7pcuXUJ+fj6eeuoprFixAlIp9Wm2Rvp83i1xjrqVuStgaby8vODl5aVzv/v37wOAxgdYKpUyPW+kdeH72is0Nzfjs88+w8iRIylIb8X4vu7JycmwtbXFyZMnmUC9oaEB586dQ3BwsLGrSUQm9POurKKiAlKpFN7e3iLXipgC39f+b3/7G1555RXm9qVLl1BYWIhvvvkG6enpxqwiMQJDPvOK6zoaRdP6CHndq6qqUFBQwIyYoyC99TLk825JKFDXU0ZGBtzc3DBq1CgsXLgQ9vb2+Oijj3D27FkUFxebu3rEBLZs2YKzZ89i7Nix5q4KMQG5XI4JEyZg0aJFCAwMRHBwMJYuXQoAGDRokJlrR4xl165d+PXXX1FQUABnZ2fs2rUL06dPx/DhwykfyRMuKChI5baTkxMAoH379pST5An266+/Yu/evcjOzoabmxsqKyvxl7/8Be3bt6fe9CdYVVUV8vPzERwcjLfffhvXrl1j7vP19TVjzYixnT9/Hjdv3sT58+fR2NiIiooKAEB4eDjzvW8uFKjrydPTE+vWrcOLL76Izp07o6GhAdHR0fjxxx8RHx9v7uoRE/jkk0+QmZmJTp06mbsqxESWLl0KKysrjBgxAg8ePEB6ejq2bNlCAdsTzNbWFl9//TUWL16Muro6hIaGYvr06ZgxY4a5q0YIMQIHBwf897//xaJFi3Dv3j34+fmhqKgICxYsgK2trbmrR4xk48aNOH36NE6fPq3REEezhJ9sCxcuVJnKlJiYCADYunUr8vPzzVSrFjRHnRBCCCGEEEIIsSA0+YIQQgghhBBCCLEgFKgTQgghhBBCCCEWhAJ1QgghhBBCCCHEglCgTgghhBBCCCGEWBAK1AkhhBBCCCGEEAtCgTohhBBCCCGEEGJBKFAnhBBCCCGEEEIsCAXqhBBCCCGEEEKIBaFAnRBCCCGtTmlpKSQSCSQSCX744QdRy962bRtTdr9+/UQtmxBCCOGDAnVCCCHEAigHnsp/p0+fNnfVLFZRUREuX76MHj16MNu4AvfS0lLeQXdmZiYuX76Mp59+WqSaEkIIIcJYmbsChBBCCGlRVFSEzz77TGWbl5eXxn719fWwsbExVbUslq2tLXx9fUUv18bGBr6+vrC3t0ddXZ3o5RNCCCG6UI86IYQQYiEUgafyn0wmQ35+PqZMmYJp06bB09MThYWFAICjR4+iR48ecHJygo+PD0aMGIHr168z5d27dw8jR46Ek5MT/Pz8sGzZMuTn52PatGnMPmw90K6urlixYgVz+8KFC3j66afh6uoKd3d39O3bF+fOnWPuV/RWv/322/Dz84OHhwcmT56MhoYGZp+6ujrMnTsXgYGBsLW1RXh4OD755BM0NzcjPDwcb7/9tkodKioqjDai4Ny5c6yjF/Lz80U/FyGEEKIPCtQJIYSQVuDzzz+HjY0Ndu7ciQ8++AA1NTXo3LkzEhMTsW/fPqxbtw5XrlxRGa49e/ZsbN++HT/++CM2bNiAbdu24cCBA4LO29DQgMLCQjg7O6O8vBw7d+6Ek5MTioqKUF9fz+y3detWVFZWYuvWrfj888+xYsUKlWB/5MiR+Oqrr/C3v/0Nx48fx4cffggnJydIJBKMGTNGYyTBZ599htzcXISHh+v3hGkRGBiIy5cvM38HDx6Eh4cHcnNzRT8XIYQQog8a+k4IIYRYiNWrV8PJyYm53aNHD3z33XcAgA4dOuCtt95i7nvllVeQmJiI1157jdn26aefIjAwEKdOnYK/vz8++eQTfPnll+jSpQuAlmA/ICBAUJ2++eYbNDU14eOPP4ZEIgHQEkS7urpi27Zt6N69OwDAzc0N7733HmQyGTp16oTi4mJs3rwZ48aNw6lTp/Dtt99i48aN6Nq1KwAgLCyMOUdpaSkWLlyIPXv2IC0tDQ0NDfj3v/+t0cvO15AhQyCTyVS21dXVobi4GAAgk8mYIfMPHz5Ev379kJGRgcWLF+t1PkIIIURsFKgTQgghFqKgoADvv/8+c9vR0ZH5f3Jyssq+hw4dwtatW1UCe4XKyko8ePAA9fX1SE9PZ7a7u7sjIiJCUJ0OHTqE06dPw9nZWWX7w4cPUVlZydyOjo5WCY79/Pxw5MgRAC3D2GUyGfLy8ljP4e/vj+LiYnz66adIS0vDTz/9hLq6OgwaNEhQXRXeeecdpkFAYe7cuWhsbNTYd8yYMbhz5w42btwIqZQGGhJCCLEMFKgTQgghFsLR0ZFzqLdy0A4Ad+/eRe/evfHmm29q7Ovn58d7brdEIkFzc7PKNuW55Xfv3kVycjL+9a9/aRyrnOjO2tpao9ympiYAgL29vc56jB07FiNGjMA777yDzz77DIMHD4aDgwOvx6DO19dX43l0dnZGTU2NyrZXXnkF69evx549ezQaIgghhBBzokCdEEIIaYWSkpKwcuVKhISEwMpK8+e8ffv2sLa2xq+//oqgoCAAwK1bt3Dq1CmVnm0vLy9cvnyZuf3777/j/v37Kuf55ptv4O3tDblcrlddY2Nj0dTUhO3bt2v0dCv07NkTjo6OeP/997Fu3Tr8/PPPep2Lr5UrV2LJkiVYu3Yt2rdvb9RzEUIIIULRGC9CCCGkFZo8eTJu3ryJIUOGYO/evaisrMT69esxevRoNDY2wsnJCWVlZZg9eza2bNmCo0ePorS0VGN4d+fOnfHee+/h4MGD2LdvHyZMmKDSOz5s2DB4enqib9++KC8vx9mzZ7Ft2zZMnToVFy9e5FXXkJAQjBo1CmPGjMEPP/zAlPHtt98y+8hkMpSWlmL+/Pno0KEDMjIyxHmiWBw9ehQjR47E3LlzER0djerqalRXV+PmzZtGOychhBAiBAXqhBBCSCvk7++PnTt3orGxEd27d0dsbCymTZsGV1dXJhhfunQpcnJy0Lt3b3Tt2hXZ2dkac92XLVuGwMBA5OTkYOjQoZg1a5bKkHMHBwf8/PPPCAoKQklJCSIjI1FWVoaHDx8K6mF///33MXDgQEyaNAmdOnXCuHHjcO/ePZV9ysrKUF9fj9GjRxvwzOi2b98+3L9/H6+88gr8/PyYv5KSEqOelxBCCOFL0qw+MY0QQgghT6z8/HwkJCTg3XffNXdVNJSXl6NLly64cOECfHx8tO5bWlqKmpoajTXgxWSKcxBCCCFsqEedEEIIIWZVV1eHixcvYvHixRg0aJDOIF1BsZzd6tWrRa1PeXk5nJycWBPoEUIIIaZAyeQIIYQQYlZfffUVysrKkJCQgC+++ILXMW+99RYWLFgAoCXLvZhSUlJQUVEBAKzL3xFCCCHGRkPfCSGEEEIIIYQQC0JD3wkhhBBCCCGEEAtCgTohhBBCCCGEEGJBKFAnhBBCCCGEEEIsCAXqhBBCCCGEEEKIBaFAnRBCCCGEEEIIsSAUqBNCCCGEEEIIIRaEAnVCCCGEEEIIIcSCUKBOCCGEEEIIIYRYkP8P2g89Wn82fmsAAAAASUVORK5CYII=\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"d = get_design_matrix(spline_fit, log_f)\n", | |
"plot_design_matrix(d).show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 743 | |
}, | |
"id": "3o_6B5letHYd", | |
"outputId": "67dd3f8e-6a4c-46dc-bdda-88752e6bbaa4" | |
}, | |
"execution_count": 22, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1200x800 with 2 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [], | |
"metadata": { | |
"id": "mVaKQFYCtyyM" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment