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https://github.com/slsdetectorgroup/aare.git
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## Unified Minuit2 fitting framework with FitModel API ### Models (`Models.hpp`) Consolidate all model structs (Gaussian, RisingScurve, FallingScurve) into a single header. Each model provides: `eval`, `eval_and_grad`, `is_valid`, `estimate_par`, `compute_steps`, and `param_info` metadata. No Minuit2 dependency. ### Chi2 functors (`Chi2.hpp`) Generic `Chi2Model1DGrad` (analytic gradient) templated on the model struct. Replaces the separate Chi2Gaussian, Chi2GaussianGradient, Chi2Scurves, and Chi2ScurvesGradient headers. ### FitModel (`FitModel.hpp`) Configuration object wrapping `MnUserParameters`, strategy, tolerance, and user-override tracking. User constraints (fixed parameters, start values, limits) always take precedence over automatic data-driven estimates. ### Fit functions (`Fit.hpp`) - `fit_pixel<Model, FCN>(model, x, y, y_err)` -> single-pixel, self-contained - `fit_pixel<Model, FCN>(model, upar_local, x, y, y_err)` -> pre-cloned upar for hot loops - `fit_3d<Model, FCN>(model, x, y, y_err, ..., n_threads)` -> row-parallel over pixel grid ### Python bindings - `Pol1`, `Pol2`, `Gaussian`, `RisingScurve`, `FallingScurve` model classes with `FixParameter`, `SetParLimits`, `SetParameter`, and properties for `max_calls`, `tolerance`, `compute_errors` - Single `fit(model, x, y, y_err, n_threads)` dispatch replacing the old `fit_gaus_minuit`, `fit_gaus_minuit_grad`, `fit_scurve_minuit_grad`, etc. ### Benchmarks - Updated `fit_benchmark.cpp` (Google Benchmark) to use the new FitModel API - Jupyter notebooks for 1D and 3D S-curve fitting (lmfit vs Minuit2 analytic) - ~1.8x speedup over lmfit, near-linear thread scaling up to physical core count --------- Co-authored-by: Erik Fröjdh <erik.frojdh@psi.ch>
175 lines
71 KiB
Plaintext
175 lines
71 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "efef8e20-6571-4561-8f0b-6048b57907de",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import sys\n",
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"sys.path.insert(0, '/home/ferjao_k/sw/aare/build')\n",
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"from aare import Pol1, Pol2"
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]
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},
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{
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"cell_type": "markdown",
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"id": "8449f9e9-59ee-4194-b477-d014b8efc93b",
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"metadata": {},
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"source": [
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"## Ground truth\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "35772e2c-37c6-4986-a9c0-7dca4a034827",
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"metadata": {},
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"outputs": [],
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"source": [
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"x = np.linspace(0, 10, 50)\n",
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" \n",
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"# Pol1: y = 3.0 + 1.5*x\n",
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"true_pol1 = [3.0, 1.5]\n",
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"y_pol1 = true_pol1[0] + true_pol1[1] * x\n",
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"y_pol1_noisy = y_pol1 + np.random.default_rng(42).normal(0, 0.5, x.size)\n",
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" \n",
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"# Pol2: y = 2.0 - 0.5*x + 0.3*x^2\n",
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"true_pol2 = [2.0, -0.5, 0.3]\n",
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"y_pol2 = true_pol2[0] + true_pol2[1] * x + true_pol2[2] * x**2\n",
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"y_pol2_noisy = y_pol2 + np.random.default_rng(7).normal(0, 1.0, x.size)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "a318ab93-fe18-4798-9ddb-6ffc2c2e3875",
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"metadata": {},
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"source": [
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"## Fit with error estimation"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"id": "06c8fddb-56d9-4f84-8b21-4ffd8b7bd26f",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"=== Pol1 ===\n",
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" True: p0=3.0000 p1=1.5000\n",
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" Fitted: p0=2.9325 p1=1.5226\n",
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" Chi2: [7.00870822]\n",
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"\n",
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"=== Pol2 ===\n",
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" True: p0=2.0000 p1=-0.5000 p2=0.3000\n",
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" Fitted: p0=2.1391 p1=-0.8442 p2=0.3383\n",
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" Chi2: [34.11224393]\n"
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]
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}
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],
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"source": [
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"m1 = Pol1()\n",
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"m2 = Pol2()\n",
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" \n",
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"res1 = m1.fit(x, y_pol1_noisy)\n",
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"res2 = m2.fit(x, y_pol2_noisy)\n",
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"\n",
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"p1 = res1['par']\n",
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"print(\"=== Pol1 ===\")\n",
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"print(f\" True: p0={true_pol1[0]:.4f} p1={true_pol1[1]:.4f}\")\n",
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"print(f\" Fitted: p0={p1[0]:.4f} p1={p1[1]:.4f}\")\n",
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"print(f\" Chi2: {res1['chi2']}\")\n",
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"print()\n",
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"\n",
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"p2 = res2['par']\n",
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"print(\"=== Pol2 ===\")\n",
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"print(f\" True: p0={true_pol2[0]:.4f} p1={true_pol2[1]:.4f} p2={true_pol2[2]:.4f}\")\n",
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"print(f\" Fitted: p0={p2[0]:.4f} p1={p2[1]:.4f} p2={p2[2]:.4f}\")\n",
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"print(f\" Chi2: {res2['chi2']}\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "7e185144-3b72-41f4-80d0-3c3504e48bba",
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"metadata": {},
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"source": [
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"## Plot"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"id": "9a0b3292-7c57-4483-aecc-7ef683ff0b62",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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J6dmE+vuQUD+yxN6zXr16+Pj4sGbNGlfbwYMH2bp1KwB//fUX//77Ly+//DI33HADl19+uWuTzmN8fX0BKCwsdLVlZGTw559/8swzz/Cf//yHK664goPaX0NERMqgY1PKV2/POPWej6tWwVVXwcqVABRYvHi/6yM81es5Jqzd5/Y9Ecq7tnFRhPr7sn1/jsZPIiIiZZA7bjCdTbFvdN6iRQu++OILUlNTMU2T77//nq1bt9K2bdvifqsLFlc9lME31aP5JVUJ8femWb2qJb6GMigoiPvuu4/HH3+c5cuXs2nTJvr27YvF4kxBTEwMvr6+vPHGG/z999988cUXvPjii0WuUatWLQzD4KuvvmL//v1kZ2dTuXJlqlSpwjvvvENycjLfffcdw4cPL7HPISIiUlJcU8ojgogK9aNexNEp5ZvTYPx4uOkm50wpICO0Ku+OnsH6zndTLyLY7VPPK4L4GqEMS7iU6+uGEeLvo/GTiIhIGeO8weTDtvRs0rOPsK0UbjCdTbFvdD5lyhQeeOABoqOj8fb2xmKxMGPGDFq0aHHK/vn5+eTn57uOMzMzAXA4HCc9/cThcGCapuvPxahfLZhGMWFF2i72mmczfvx4srOz6dSpE8HBwQwfPhybzYZpmlStWpWZM2fy9NNPM2XKFK6++mpeffVVOnfu7Pq81atXZ9SoUTz55JPce++93HPPPcycOZMPP/yQIUOGEB8fz2WXXcbrr79O69atz+n7dKzPqb7fpeVYXvW0G8+gfHgW5cOzKB8lKyUjh2CrNwaAaWIAEYW5JDzVH9avdPXbEnct4zreT9ru7VxW+woAgq3e7Po3u9hzo1wXFVc9lMsiAvH2Pr43Z0l79dVXi4yfHn30UWw256y48PBwZs2axVNPPeUaP7322mt06tTJ9foaNWowevToIuOnWbNm8dFHHzF48GDX+GnKlCmu/ahERETKI+cNpliWbk5ja+oBrqkRRtu4KLdtcg5gmBdRiTEMg4ULF3Lbbbe52l577TXeffddXnvtNWrVqsWqVasYOXIkCxcu5Oabbz7pGqNGjWL06NEntW/dupXg4OAibXa7HZvNRq1atfDz87vQsDFNk8LCQry8vEptQOWp8vLy2LVrF6Ghofj4+LglBofDgc1mIzQ01HXnU9xH+fAsyodnUT5K1js/p7LunyzqVPbDMAyq7/iLe14fSVTGXlef7KFD6ecI47O3XqLQnk/HRydSu+F17DyQT5OYEB64vnqxxpSVlUVsbCw2m42QkJBivXZxy8zMJDQ09JSx5uXlsWPHDurUqXPRY6iCgoJSLUp5ouL6fl4sh8NBeno6ERER+n+SB1A+PIvy4VmUD89SGvk407jkRMU6Uyo3N5ennnqKhQsX0r59ewAaNmzIxo0bee21105ZlBo5cmSR6dKZmZnUrFmT8PDwUw6osrKy8Pb2xtv74kN3VxHGkxybzValShW3DaocDgeGYRAeHq7/QXkA5cOzKB+eRfkoWbdfa2VXZjL/ZObT4ZfF3PXBa/gWODedNsPCyJ8xg+GLF/PJu5MBCI+9GkvV2qRmOQgPDeS2JnWIiCjeO33uLDiIiIiIlHfFWpSy2+3Y7faTBupeXl6nnf5utVqxWq0ntVsslpOuY7FYMAzD9edCmaZZZLf5iuzY9/JU3+/SjsPdMchxyodnUT48i/JRchpEV2Z4i2gYMJC4ZQuPn2jShF2vvsrtQ4eyceNGDMOg/5DHqdumD8lpNmJLcOq58iwiIiJScs67KJWdnU1ycrLreMeOHWzcuJGwsDBiYmJo2bIljz/+OP7+/tSqVYuVK1cyZ84cJk6cWKyBi4iISDmzdStxXbvCH38cbxs4kEU33MA9HTuSlZVFeHg4c+fOpU2bNloKICIiIlLGnXdRat26dbRu3dp1fGzpXZ8+fVybRo4cOZK77rqLAwcOUKtWLcaOHctDDz1UfFGLiIhI+bJgAfTrB1lZzuPAQHjnHejVi39nzCArK4sbbriBDz/8kBo1arg3VhEREREpFuddlGrVqtUZn+gWFRXFzJkzLyooERERqSDsdnjiCZg06XjbFVfgmD8fS3w8APfddx8hISHccccdxbKnpIiIiIh4Bs11FxEREff45x9o1apoQerOO/nquee4+u67OXDgAODcx6t79+4qSImIiIiUMypKiYiISOn79lu4+mr4+Wfnsa8vhW+8waNRUXS8805+++03Xn31VffGKCIiIiIlSkUpERERKT0OB7z4IrRpA/v3O9tiYkhbsIAWH3zAxKOzpoYPH87o0aPdGKiIiIiIlDTNgxcREZELtinVxtLNaaQcOExMWABt46KIrxF6yn4rV/9J6zGPUv+3n4+fuPVWEu++mzv79uXAgQOEhoYya9YsbrvtttL7ECIiIiLiFpopVU6sWLECwzA4dOiQu0MREZEKYlOqjUnLtrJ6ewaZuQWs3p7BpGVb2ZRqO6nforcX0r3/ba6ClMOwsO+JZ5nbowdte/XiwIEDNG7cmA0bNqggJaVKYygRERH3UVGqlLRq1YqhQ4d63LVEREQu1NLNadhy7dSLCCIq1I96EUHYcu0kJu073sk02TduAk+89ADhB5zt2SGVeXHQJD74z93c2qEDtWrVYtCgQfz444/UqVPHTZ9GPJXGUCIiIuWXlu95CNM0KSws1JOFRESkzEg5cJhgPx8MwwCcT8kL9vNhV0aOs0N2NjzwAP/56CPXa3ZefhVvdH+IjFpXEpqRQ1hYLBs3bqRSpUpu+ARSHmgMJSIiUnZpplQp6Nu3LytXruT111/HMAwMw2DWrFkYhsHSpUtp3LgxVquVH374gb59+560bGHo0KG0atXqtNfauXOnq+/69etp3LgxAQEBNGvWjC1btpTeBxURkQolJiyArDw7pmkCzuJAVp6d2lUCISkJmjSBEwpSKzv05p761zDxxYf4Y/lnzn6ggpSclsZQIiIi5Vu5uaWUk5Nz2nNeXl74+fkV6VtQUIC3t7fr7u4xFosFf3//s143MDDwnGN7/fXX2bp1K/Hx8bzwwgsAbN68GYARI0bw2muvUbdu3XMalJ/qWuHh4a5B1dNPP82ECRMIDw/noYceol+/fvz000/nHKuIiMi5ahsXRdKeTJLTswn28yErz06ovw9dt6yC24bA4cMAFAaH8HrXQbz802L2b/0VgLz0nSTUj3Rn+ML5j59M0zzlGKokxk+gMZSIiEixM02MO+/Er3lzGDjQ3dGUn6JUUFDQac/deuutfP31167jyMhIDh8dKP+vli1bsmLFCtdx7dq1+ffff0/qd+yu8LkIDQ3F19eXgIAAoqKiAPjrr78AeOGFF0hISLioa51o7NixtGzZEoAnn3yS9u3bk5eXV2RQKSIiUhzia4QyLCGWxKR97MrI4coIf+7+5HWqzJ5xvFPDhvzy2GO89OhjZOxPx8fqT7ehLzBy0AOnfEqflK7zGT9FRESU6vgJNIYSEREpdh98gDF/PpXmz8dctw7mzHFrOOWmKFVWNW7cuFiv17BhQ9fX1apVAyA9PZ2YmJhifR8RERFwFqbia4TCzp3QrRusW+c6Z/btyysxMTzdty8Oh4O4uDgWLFjA5Zdf7r6ApdzQGEpEROQ8HTgAw4e7Ds1u3TDO0L00lJuiVHZ29mnPeXl5FTnet2/fGZfvnejEvQZKwv9OY7dYLCfdRbTb7ed8PR8fH9fXxz6bw+G4iAhFRETO4uuvoXdvOHjQeeznB9Om8WujRjx97bU4HA769u3LtGnTCAgIcG+sUsT5jJ/S09PPuHzvRCU9fgKNoURERM7bk0/C/v0A5LVvj2/79m4OqBwVpc5nj4LAwMDTFqUu5rpn4uvrS2Fh4Vn7hYeHs2nTpiJtGzduLDJQOtdriYiIlKjCQnj+eRg79njbJZfAggVw5ZVcA4wbN47w8HDuvfdet4Upp3e+46fTFaUu5rpnozGUiIhIMfjpJ3j3XQDM4GAyX3yRqm4OCfT0vVJTu3Zt1q5dy86dO/n3339Pe+ftpptuYt26dcyZM4dt27bx/PPPnzTAOtdriYiIlJj0dGjTpkhByuzcmTf69GHbCQWJESNGqCAlF0VjKBERkYt05Aj07+86NMeMwXF0qbq7qShVSh577DG8vLyoX78+4eHhpKSknLJf27ZtefbZZxkxYgRNmjQhKyuLe+6554KuJSIiUiJ+/BGuugq++8557OVFzqhRdLTbGfzcc3Tr1o38/Hz3xijlhsZQIiIiF2niRDj69FoaN4aHH3ZvPCcwzPN9DEoJy8zMJDQ0FJvNRkhISJFzeXl57Nixgzp16lzUk1DOdep5RVBc39OL4XA4SE9PJyIi4qQ9KaT0KR+eRfnwLBU+H6bpHNQ88YRz6R5AtWokPf887V56iZSUFKxWK1OmTOGBBx4o8d+xpZGPM41LPI3GUKXHE8ZPoP8neRrlw7MoH55F+XCjv/+G+HjIzQWLBX75BceVV3rMGKrc7CklIiIiJchmg3vvhYULXU1m69a826oVjwwahN1up169enzyySdceeWV7otTRERERJxMEwYOdBakAAYPhquvBg9avq4SpYiIiJzZb785p3qfUJDKf+wxuoWE0P/557Hb7XTt2pV169apICUiIiLiKT75BJYscX4dHQ0vvODeeE5BRSkRERE5vZkzoWlTSE52HleuDF99heWll0jdtw8fHx/eeOMN5s+fT2hoqHtjFREREREnmw2GDDl+PGUKm3btYsGCBe6L6RS0fE9EREROsjk5Dccjj9Bg6aeuNvOaa3B8/DFel1yCD/Dxxx+zb98+mjRp4r5ARURERORkTz8NaWnOrzt2xN6+PX2bNWP9+vW89tpr3HXXXe6N7yjNlBIREZEitv64geCbbixSkFp+Q0c6RdbgqXfecbXFxMSoICUiIiLiaf77X3jzTefXgYEwdSqvjB/P+vXrqVy5Mj179nRvfCdQUUpERESOW7iQWm1vJGb3NgCOWP14585HuG3LRr765gsmTZrEzp073RujiIiIiJxaQQH07+/c5Bxg9Gh+P3SIF47uJ/XGG29QrVo1NwZYlJbviYiICNjtMHIkTJiA9WhTevXaPNviFt5b8A6F9iMEVYli2VcLqV27tjsjFREREZHTmTIFNm50ft2oEfYBA+jbvDl2u53bbruNXr16YR4rWHkAFaVEREQquj17oEcP+PFHV9OPV7ZkmL+VdfPfAiAqvhkDR02kadPr3BWliIiIiJxJSgo8+6zza8OAt99m3KuvsmHDBsLCwpg+fTqGYXhUUUrL90RERCqy776Dq646XpDy8SH1hVe4/VA661YnYli8iL9tAO2GTeS2ppe7N1YREREROb1Bg+DwYefXDz3EPzVqMGbMGACmTZtGVFSUG4M7NRWlSolpmjz44IOEhYVhGAaVKlVi6NCh7g5LREQqKocDXnoJEhIgPd3ZVrMmrFpFjWdH8PhjjxJSJYI7nn2bewcMYXjby4mvEeremKVC0hhKRETkHCxaBF984fw6Kgpeeono6Gi+/PJLHnnkEXr06OHW8E5Hy/dKyZIlS5g1axYrVqygbt26WCwW/P39Xedr167N0KFDNcgSEZGSd+AA9O4N33zjaiq8+Wa2Pf88lzdtCsCIgfcxoE8PgoKC3BWlCKAxlIiIyFnZbDBw4PHjyZOhUiUA2rZtS9u2bd0S1rlQUaqUbN++nWrVqtGsWTN3hyIiIhXZunXQtSvs2uU8Ngz+feQRbvruO/Z368bGjRuJjIwEUEFKPILGUCIiImcxcqRzj1CAdu34s0EDAlNSiImJcW9c50DL90pB3759GTRoECkpKRiGQe3atWnVqpXrjl6rVq3YtWsXw4YNwzAMDMNwb8AiIlL+mCZ7xk2koFkzV0GqIKwK3z3xBLX/7//4Y/NmTNMkJSXFzYGKHKcxlIiIyFn89BNMn+78OjCQI6+/To+ePYmPj+fbb791b2znQEWpUvD666/zwgsvEB0dzd69e/nll1+KnP/ss8+Ijo7mhRdeYO/evezdu9dNkYqISLmUnc2hLj2p/tSjeNvtAPxVuz43xzbmPy+/TE5ODq1bt2bjxo00adLEzcGKHKcxlIiIyBnk58MDDxw/HjOGF+fM4Y8//sBqtdKwYUP3xXaOysfyvcaNIS3tvF5SLB88Ksq5DOIsQkNDCQ4OxsvL65S73YeFheHl5UVwcLBH7oYvIiJl2J9/QteuVEpKcjUtb92ZPn//SeqapRiGwTPPPMPzzz+Pl5eXGwOVUncB4ycohjHUOY6fQGMoERGRM3r5ZedYD6BJE9Y3a8a4o8vd33zzTSIiItwY3LkpH0WptDRITT3n7prYLSIiFcJHH8H990NODgC51gA+e+QFxm/8idRdW7EGVeKWQWN54YUBbg5U3OI8x0+gMZSIiIjH+PNP55OUAby8ODJtGn379aOwsJBu3brRrVs398Z3jspHUeo874yZJ3x9UYMr3ZETERFPdOQIPPooTJ3qatpf+1Je7DOagAZx/Oeq5jgKCohpex8tG1/hxkDFrS5gHFMsYyiNn0RERC6Ow+FctnfkiPP48cd5/rPP2LRpE+Hh4UybNs298Z2H8lGUOscp4C6mSUFBAd7e3uAhG2L6+vpSWFjo7jBERKSsS0mB7t1h7VpXU/YddzA6siaHa13CnvRsgv18uKzHk4T6+5BQP9KNwYpbne/4CTSGEhER8QTvvOPc4BygXj1+adeO8a1bA/D2228THh7uxuDOT/koSpUDtWvXZtWqVfTs2ROr1UrVqlXdHZKIiJQRm1JtLN2cRsD339L3zWfwzzzkPGG1svH++2k9dy6HbDZGVq9B/HWd2ZWRQ4PoUNrUjyS+RqhbYxe5WBpDiYhIhZKaCk88cfz47bdpcO21DBs2jH///Zfbb7/dfbFdABWlPMQLL7xA//79ueSSS8jPz8c0zbO/SEREKrxNqTYmL/2TNp++Q9fFs7Ac/f2RX7MWb7a8geFHp283bdqUh+7pQUxMjDvDFSl2GkOJiEiFMmgQZGY6v773XrjpJvyA1157rUz+DlRRqpQMHTqUoUOHuo5XrFhR5HzTpk357bffSjcoEREp81b9lMSgV4fQ6K9fXG1rLm/Mg2Y+f8ydC8CwYcN4+eWX8fX1dVeYIhdMYygREZGjFi50/gGIiGDHwIHUPLasHjA8ZGn9+VBRSkREpKz6+Wd6PXw7lQ6kA+CwWPio9W3ct+Zb8nIyCQ0NZdasWdx2223ujVNERERELo7NBgMHug5zXnqJGzp3pmbNmixYsIAaNWq4MbgLp6KUiIhIWWOa8Prr8PjjVCooACCrUhU+HDaeVV7e5H//OdGXxrFyyRfUrVvXzcGKiIiIyEV78knYu9f59a238vCKFaSmpuLv70+lSpVce4ymHDhMTFgAbeOiysTeoSpKiYiIlCWZmXDffbBggavpr9gree3e0RRGViMvz07bR19n7EPdqFs3wo2BioiIiEix+OEHeOst59eBgSzu1In3H3oIi8XCnDlz2HGogEnLtmLLtRPs58Pq7Rkk7clkWEKsxxemLOf7glWrVtGxY0eqV6+OYRgsWrTopD5//vknnTp1IjQ0lODgYJo2bUpKSkpxxCsiIlJx/fEHNG5cpCC1o0cP2uT8S+UwCyH+3jSrV5VXh9zN1SpIeYxx48bRpEkTgoODiYiI4LbbbmPLli1F+vTt2xfDMIr8adq0qZsiFhEREY+Rnw8PPug6zHzySe555hkAnnjiCa6//nqWbk7DlmunXkQQUaF+1IsIwpZrJzFpn7uiPmfnXZTKycmhUaNGTJ069ZTnt2/fTosWLbj88stZsWIFv/32G88++yx+fn4XHayIiEiFNXs2XHcdbNsGgBkayrwePbhk/nx2p/7Drm/n8HrPqxheBu6IVTQrV65k4MCBrFmzhmXLllFQUECbNm3Iyckp0u+WW25h7969rj/ffPONmyIWERERj/HSS/DXXwCY115L319+4d9//6Vhw4Y8//zzAKQcOEywn49ro3PDMAj282FXRs5pL+spznv5Xrt27WjXrt1pzz/99NPceuutjB8/3tVW3PtZOByOYr1eRabvpYiIh8vLg8GD4d13XU32Bg3oFxzM3I8/BuDBBx9k8uTJbgpQzmbJkiVFjmfOnElERATr16/nxhtvdLVbrVaioqJKNBb93i8e+j6KiEip+OMPZ1EKwNubLzp0YOFzz+Hj48P777+P1WoFICYsgNXbM4gMsWIYBqZpkpVnp2G059+oLNY9pRwOB19//TUjRoygbdu2bNiwgTp16jBy5MjTPvknPz+f/Px813FmZqbrWv/7C9/b2xvDMNizZw/h4eH4+Phc8CMP7XY7Pj4+F/Ta8sA0Tex2O+np6RiGgbe3t9sGWA6HA9M0NcDzEMqHZ1E+PEup5+PvvzG6d8fYsMHVlNq+Pc3XrWPXH38QGBjI9OnTueuuu1zxVSSlkY+SuLbNZgMgLCysSPuKFSuIiIigUqVKtGzZkrFjxxIRUTzLMH19fbFYLK4xlK+v7wWNoUzTpODoo6fL4mOnL5Zpmhw5coT9+/djsVjw9fV1d0giIlJeFRRAv37O/wJLO/Thx8iruKJBI+7p1ZOGDRu6uraNiyJpTybJ6dkE+/mQlWcn1N+HhPqR7or+nBVrUSo9PZ3s7GxefvllxowZwyuvvMKSJUu44447+P7772nZsuVJrxk3bhyjR48+qX3//v3k5eWd1B4cHExmZiYpKSkXNRhyOBxYLOe9erFcMU0Tb29vQkJC+Pfff90Wh8PhwGazYZpmhc+JJ1A+PIvy4VlKMx/WpUsJHTwY4+jNGtPPj18feIBrp03D4XBw2WWX8c477xAbG0t6enqJxuKpSiMfWVlZxXo90zQZPnw4LVq0ID4+3tXerl07unXrRq1atdixYwfPPvssN910E+vXr3fdBf1f53NjD6BWrVqkpaWRmpp6UZ9BYygICAggOjoacG8xWDcuPIvy4VmUD8+ifFyAiROxrFsHwO6o2iy4pS8HCw2uGzydWxIuLfK9rF8tmKE31yMxKZ2UjBzia4TQpn4E9asFn/J77kk39op9phRA586dGTZsGABXXnklP//8M2+99dYpi1IjR45k+PDhruPMzExq1qxJeHg4ISEhp3yfqKgoCgoKKCwsvOA4Dxw4QFhYWIUeVHl5eXnEnU6Hw4FhGISHh1fofHgK5cOzKB+epVTyUVCA8cwzGK++6moyL70U85NPaFi/Pi03bSImJoY33niDwMDAkomhjCiNfBT3npiPPPIIv//+Oz/++GOR9h49eri+jo+Pp3HjxtSqVYuvv/6aO+6445TXOt8be+BcIujj43PBg1DTNMnKyiIoKMjt4wd3sVgsWCwWDh065O5QdOPCwygfnkX58CzKx/nx2r6dqkf3i3IYBh/cNZjAQB8CTJMdB/L44tcUoqwFRV4T7g13NQwFji3Zyz/tjUtPurFXrEWpqlWr4u3tTf369Yu0X3HFFScNvo6xWq2nvAN47Bf+6Xh5eV1wnA6Hg+zsbAICAvQD4SEMwzhrzqX0KB+eRfnwLMWRj02pNpZuTiPlwGFiwgJoGxfl3Jx8717o2RNWrXL1PXDTTQR8+CF+ERFYgK+//hp/f/9i+CTlQ0n/fBTndQcNGsQXX3zBqlWrXLNsTqdatWrUqlWLbUc3tj+VC7mxd7EcDgf79+9XodxD6MaFZ1E+PIvy4VmUj/PgcGB064Zx9AbT19e34/lpz9C4/V206P4QVYItZORxUUv8PenGXrEWpXx9fWnSpMlJjzneunUrtWrVKs63EhERKZM2pdqYtGwrtlw7wX4+rN6eQdKeTJ4J3EedQffDPueje01vb75r1462X39N/9GjmTZtGoAKUmWQaZoMGjSIhQsXsmLFCurUqXPW12RkZLB7926qVat22j4XemPvYqlQ7lmUD8+ifHgW5cOzKB/HnfYGJcD06XB0Us/BqGgeTknmSN5h9iRvAosXWfl5NKxZ6aK/j55yY++8i1LZ2dkkJye7jnfs2MHGjRsJCwsjJiaGxx9/nB49enDjjTfSunVrlixZwpdffsmKFSvO961ERETKnaWb07Dl2qkX4Vz+FBXkQ9y8d6j1xdtwdEmVo1o1RtSty4QvvwTg4MGDFBYWXtQsYXGfgQMHMm/ePD7//HOCg4NJS0sDIDQ0FH9/f7Kzsxk1ahRdunShWrVq7Ny5k6eeeoqqVaty++23uzl6ERERKU6nu0E5LCGW+IJD8OSTrr4zmzUn9bOP8QkIpsk9T7N9f06Z2cD8XJ13UWrdunW0bt3adXxs2nifPn2YNWsWt99+O2+99Rbjxo1j8ODBXHbZZXz66ae0aNGi+KIWEREpo1IOHCbYz/n0WL/sTLq98TT11610nbddey2tUlPZ+NNPWK1WXn/9dR588MEKu39PeTB9+nQAWrVqVaR95syZ9O3bFy8vL/744w/mzJnDoUOHqFatGq1bt+bjjz8mODjYDRGLiIhISfnfG5SRIVaS07NJ3JxG/ITBkJ0NQFrnzjy+6BMA7hz+IpWqV6dWlUDa1I88PquqHDjvolSrVq0wTfOMffr160e/fv0uOCgREZHyKiYsgNXbM7jq37+5+7VHCUt3PgnNNAzWtmlDq+XLyS8ooF69esyfP5+rrrrKzRHLxTrbuMnf35+lS5eWUjQiIiLiTifeoATnMrpgPx8iF34EiYkAOKpXp+1vv+FwOOjduzezXxzizpBLlBZzioiIFJNNqTYmJG5hyEcbmJC4hU2ptpP6tK0fSce1X/HQU/e4ClJZQaH8MeUd2q1dS35BAV27dmXdunUqSImIiIiUMzFhAWTl2V03rUzTxGvfXrrMnejq80ZcHL/v3EmtWrV444033BVqqSjWjc5FREQqqjPuD3BsivXhw8Q/NZj49993vW7v5Y3InD2XhtfGMzsmgpSUFAYOHKjleiIiIiLlUNu4KJL2ZJKcnk2wnw9ZuUd46pOJ+GVnOjvcdRf+N95I0OrVzJkzh9DQ8rNU71RUlBIRESkGp90fIGmfsyi1dSt06QKbNrle83vLluwZPpxbro0HoFOnTkWuecYns4iIiIhImRNfI5RhCbEkJu1jV0YOXbb/xNW/Ht1fNDwcJk/mwapV6datG5UrV3ZvsKVARSkREZFicLr9AXZl5MAnn8B990FWFgBmUBBTGjRg6MqVVNm0ic2bNxMZWfQpKuc080pEREREypz4GqHO8dy//8Lgl1ztua++in/VqgAVoiAF2lNKRESkWJxqf4Dc7MP0mT8Zund3FaTy6talXZUqDF29Gm9vb0aOHElERMRJ1ztx5lVUqB/1IoKw5dpJTNpXmh9LRERERErK0KGwfz8AfzdsyBXPPceqVavcG1Mp00wpERGRYvC/+wP47E1lzP89R73tf7j6JF93Hddt3MiB/Hyio6OZP38+119//Smvd8aZVyIiIiJStn39NXzwAQCFISH8Z8sWduXns3HjRm688UY3B1d6NFNKRESkGBzbH6BZvao02baOyeP7uQpSpq8vM6+7jkvXruVAfj7t2rVjw4YNpy1IwalnXmXl2aldJbBUPo+IiIiIlJBDh6B/f9fhi5UrszM/nzZt2vDII4+4Ly43UFFKRESkmMRXC2b46o8Y8PJAAmwHnY21amH89BM/xcfj5eXFuHHj+Oqrr6h6dL+A02kbF0Wovw/J6dmk2fJITs8m1N+HhPqRZ3ydiIiIiHi44cMhNRWAbXXqMHrXLsLCwpg5cyYWS8Uq02j5noiISHH491+4+25YutTVVNiuHV5z50JYGFOmTOH++++nadOm53S5/30yS4PoUNrUj9Qm5yIiIiJl2ddfw8yZABQEBJCwcycAb7/9NtWrV3djYO6hopSIiMgZbEq1sXRzGikHDlOzsj9Nqvly0r7ka9dCt26wezcApsXCZ1ddxYzCQr6uVAkLEBAQcM4FqWNcT2YRERERkbLv4EF48EHX4TP+/uw6fJg+ffrQtWtXNwbmPipKiYiInMamVBuTlm3Flmsn2M+HNQcz2LjTJCysMg2iK4NpwtSp8OijYLcDUFClCg+FhPDe+vUYhsFPP/3EDTfc4OZPIiIiIiJuN2wY7NkDwJGbbmJrSAi1N25kypQpbg7MfVSUEhEROY2lm9Ow5dqpFxGEYRhEBvuSlHqQxKR0GoR6wwMPwMcfu/qnX3YZLXbvZltGBpGRkcybN08FKRERERGBL7+E2bOdX4eE4Dt7Np/WqEF6ejohISHujc2NVJQSERE5jZQDhwn288EwDAAMwyDI6sWR336HwZ1hyxZX32WNGnHrb79RALRq1Yp58+ZRrVo1N0UuIiIiIh7j4MEiT9szJ03CiI7GACIjK/ZDbCrWtu4iIiLnISYsgKw8O6ZpAmCaJo1/WsJjz/Y5XpAKCeHV66+nzdGC1NNPP82yZctUkBIRERERpyFDYO9eAH6uVIk7ly7l0KFD7o3JQ2imlIiIyGm0jYsiaU8myenZVPZy0PX9CbT9cdHxDo0awYIF3JyVRXSnTrz77rvccsstbotXRERERDzMF1/A++8DkGe10u3QIbKXLOHgwYNUqlTJvbF5ABWlRERETiO+RijDEmJZ89162jz/CDE7/nSdS7v1VqIWLAB/f64CkpOTsVqt7gtWRERERDzLgQNFlu09fOQIe4APpk+nTp067ovLg2j5noiIyBnEb/iB+4d0dRWkHFYrL9auTcyyZfyyaZOrnwpSIiIiIlLE4MGQlgbAcn9/ZpkmvXv3plevXm4OzHNoppSIiMipFBTAc8/BuHGupuxq1bglK4ufdu6kcuXKHDx40I0BioiIiEhp2JRqY+nmNFIOHCYmLIC2cVHE1wg984sWLYIPPgAg28eH3rm51K1bl6lTp5Z8wGWIilIiIiL/Ky0N7rwTVqxwNf1Rrx4tkpPJBK699lrmz59PrVq13BaiiIiIiJS8Tak2Ji3bii3XTrCfD6u3Z5C0J5NhCbGnL0xlZMBDD7kOH7bbSffy4qd58wgJCSmlyMsGLd8TERE50Q8/wNVXuwpSppcXU2rVouHRgtT999/PypUrVZASERERqQCWbk7DlmunXkQQUaF+1IsIwpZrJzFp3+lfNGgQ7HOe//f66/m+enVGjx7NddddV0pRlx2aKSUiIgJgmjBhAjz5JBQWOtuqV2f+HXcwZOpUQkNDmTFjBi1atMDX19e9sYqIiIhIqUg5cJhgPx8MwwDAMAyC/XzYlZFz6hd89hl8+KHz68qVqfrpp/xutRIaepblfhWUilIiIiKHDsG99zrX/h9z003w4Yd0q1qVdX5+PPTQQ9SpU4f09HR3RSkiIiIipSwmLIDV2zOIDLFiGAamaZKVZ6dh9CmKTPv3w8MPHz9+4w2oVo2w0gu3zFFRSkREKrYNG6BrV/j7b1fTV1deSeuFCwkMCcECvPrqqwA4HA43BSkiIiIi7tA2LoqkPZkkp2cT7OdDVp6dUH8fEupHFu1oms59pI7ewPza25uMggLucUPMZYn2lBIRkYrrvffg+utdBSl7cDC9QkPpuHEjj44Y4ebgRERERMTd4muEMiwhlmb1qhLi702zelVPvcn5Bx84l+4BBywW7isoYNUPP7gh4rJFM6VERKTiOXwYHnkEZs50NaVWr07zPXvYBTRs2JDhw4e7Lz4RERER8RjxNUJP/6Q9gN27nWPLox5wOAiNjWXy5MklH1wZp5lSIiJSsWzb5pwddUJB6vMaNah7tCB1//33s2bNGmJjY90Xo4iIiIiUDQ6Hc29Smw2AOcCXPj7MmzePoKAg98ZWBqgoJSIiFcdnn8E118DvvwNQ6OfHwEqVuC01Fe+AAN5//33effdd/P393RyoiIiIiJQJb74Jy5cD8A8wGHjllVe45ppr3BpWWaGilIiIlH92Ozz6KHTpAllZzrbLLydj8WI+8fGhfv36/PLLL9x9993ujVNEREREyo4tW+CEfUjvBVq0b8/QoUPdFlJZoz2lRESkfEtNhR494Kefjrf17AnvvktEUBDLli2jXr16BAYGui9GERERESlbCgrgnnsgNxeAn6++mr/S09kwaxaGYbg5uLJDRSkRESm/li+HO++E/fsBcHh781xQEFd16UKXo2v8GzVq5M4IRURERKQseuUV+O9/nV/HxtLshx/YXFBASEiIe+MqY7R8T0REyh+HA8aOhTZtXAWpzEqVaO5wMPbQIV4ZPx7TNN0cpIiIiIiUSRs2wKhRAJgWC8yZAwEBKkhdABWlRESkfMnIgI4d4ZlnnMUpYF1EBHUOHWKNw8Gdd97J8uXLNa1aRERERM5fXh707u1cvgfMjIpiV1SUm4Mqu1SUEhGR8uO//4Wrr4ZvvgHANAxeCw3l2vR0cqxW3nrrLT744AOCg4PdHKiIiIiIlEnPPgubNwOwAXg6Lw8vLy/3xlSGaU8pERFxq02pNpZuTiPlwGFiwgJoGxdFfI3Q87uIacL06TB0qPNJe0BhWBjtbTaW2mxccsklfPLJJ1x11VXF/wFEREREpGJYtQomTAAgH+gNvDt7NtHR0W4NqyxTUUpERNxmU6qNScu2Ysu1E+znw+rtGSTtyWRYQuy5F6ays6F/f5g373hbs2Z4ffwxl736KkGpqbz33nuEhp5noUtERERE5JisLOjTx3kzFHgaaDNsGB06dHBvXGWcilIiIuI2SzenYcu1Uy8iCMMwiAyxkpyeTWLSvnMrSv35J3Tp4vzvUVkPPkjw1Kng48OECRPw8vI65f5RxTJDS0REREQqhkcfhZ07AVgFrLr6an4YN86tIZUH2lNKRETcJuXAYYL9fFxFI8MwCPbzYVdGztlf/OGH0KSJqyB1xM+PHt7etP/zTwqOXs/b2/u0BalJy7ayensGmbkFrN6ewaRlW9mUaiu+DyciIiIi5cNXX8G77wKQDQwMCGDexx9jtVrdG1c5oKKUiIi4TUxYAFl5dsyj06BN0yQrz07tKoGnf1F+PgwcCL16QY6zeJUSGkp8Xh7zCwqoXLkyubm5Z3zfE2doRYX6US8iCFuuncSkfcX22URERESkHNi3D/r1cx1Ojolh5LvvUq9ePTcGVX5o+Z6IiLhN27gokvZkkpyeTbCfD1l5dkL9fUioH3nqF+zaBd26wS+/uJo+CwnhbpsNu7c3r738MsOHDz/l7KgTXdQMLRERERGpGEwT7rsP9u93HnfsyJOffoq3j4974ypHznum1KpVq+jYsSPVq1fHMAwWLVp02r79+/fHMAwmT558ESGKiEh5FV8jlGEJsTSrV5UQf2+a1at6+k3OFy+Gq692FaQKvL15yNubLpmZVImOZtWqVTz66KNnLUjBBc7QEhEREZGK5a234OuvnV9HRMCMGSpIFbPznimVk5NDo0aNuPfee+nSpctp+y1atIi1a9dSvXr1iwpQRETKt/gaoWfeYLywEEaNgjFjXE1mnTr0AD7bsYN27doxZ84cqlates7ved4ztERERESkYvnrL+fm5kfNb9eO7hERbgyofDrvolS7du1o167dGfukpqbyyCOPsHTpUtq3b3/BwYmISAWXnu7cO2r5clfT741bsWrkePqEmVy79nsef/xxLJbzm/h7bIZWYtI+dmXk0CA6lDb1I/X0PRERERGBI0fgrrvg6D6l04DAVq3cGlJ5Vex7SjkcDnr37s3jjz9OXFzcWfvn5+eTn5/vOs7MzHRdx+FwFHd4rmubplli15fzo3x4FuXDs1TofPz0E0bPnhh79gBQYBhMiW/GHw+9TNa+I4Rm+jL0rgcBLuj7U79aMPWrBRdpO9t1KnQ+PFBp5EO5FhERqYBGjYJffwXgT+D3u+/m7b593RlRuVXsRalXXnkFb29vBg8efE79x40bx+jRo09q379/P3l5ecUdHuAcYNpsNkzTPO+761L8lA/Ponx4lgqZD9Mk4O23CR4zBqOwEIB/fa3ccSSfHzevoefeLdSoFcuOAzks/GUH4dcXXSa+Jf0wK5MPkmo7Qo1QX1rWq8xlEQHFElqFzIcHK418ZGVllch1RURExEOtWoX58ssYwBHgubp1mf322+f00k2pNpZuTiPlwGFiwgJoGxelmfhnUaxFqfXr1/P666/z66+/ntNGswAjR45k+PDhruPMzExq1qxJeHg4ISEhxRmei8PhwDAMwsPD9Y8KD6B8eBblw7NUuHzYbBj33YexcKGr6ZfAQDrm5LDPMGjR7UFqxjbA4uVFFbuFjDyIOGFt/+Y9Nub8uhtb7hGCrT78vi+PXZkZDL25MnHVL35AUOHy4eFKIx9+fn4lcl0RERHxQDYb9O6NcfRhOC/6+PDCV18REHD2G5ybUm1MWrYVW66dYD8fVm/PIGlP5ukf4iNAMRelfvjhB9LT04mJiXG1FRYW8uijjzJ58mR27tx50musVitWq/WkdovFUqIDfsMwSvw95NwpH55F+fAsFSYfv/0GXbtCcrKraYKPD0/k5OBfqQo33PMczW5shWEYzqfl5RfQsGalIt+XxKR0bLl26kUEYxgGkaYfyenZLPtzPw2iKxdLmBUmH2VESedDeRYREalABg6ElBQAVgKXz5jBFVdccU4vXbo57eg4NMg5Dg2xkpyeTWLSPhWlzqBYi1K9e/fm5ptvLtLWtm1bevfuzb333lucbyUiIuXJrFnw8MNwdNn2YauVHvn5fGW307JlS56f+DZzfz/70/JSDhwm2M/HNVvXMAyC/XzYlZFT2p9IRERERMqSDz+EDz4AIN/fn+979mTUPfec88s1Dr0w512Uys7OJvmEu9g7duxg48aNhIWFERMTQ5UqVYr09/HxISoqissuu+zioxURkfIlNxcGDYL33jvedvXVLOjYka9Gj+bpp59m1KhReHt7Ex5pO+vT8mLCAli9PYPIEOvxGVV5dhpG6+6UiIiIiJxGSorzBulR1hkzGNWr13ldQuPQC3PeRal169bRunVr1/Gx/aD69OnDrFmzii0wEREpu85pk8fkZOdyvd9+O97Wvz9Mnkxvq5X4Tp24+uqrXafia4Sedepz27gokvacfUaViIiIiMimVBuJv6fS8dF7uNRmczb26uX8c540Dr0w512UatWqFebRTb/Oxan2kRIRkfLrnDZ5XLQI+vZ1biYJHPH25qmwMJ595RVC/fwwoEhB6lzF1whlWELsWWdUiYiIiEjFdmzM2urzWVz653oAUiwW9gx8gqYXcD2NQy9Mse4pJSIicsZNHiMC4Kmn4LXXXP13+fnRPi+PzenpXPXVV9x1110X9f7nMqNKRERERCq2pZvTCNu6mTu/fAcAB/BEXHOa5PhdUFEKNA69EHqkjIiIFKvTbfJ4cNtO+M9/ihSkFvn4EJ+Xx57Klfniiy8uuiAlIiIiInIu0vZkMGzm83gXFgAwLTQM70de0sbkpUxFKRERKVYxYQFk5dldS71N0yTmtzU8+cxd8MMPABRaLAwGbrfbqX/ttWzYsIGOHTu6MWoRERERqUju+XgS1dNSAPjVsPDn6PfILbRQu0qgmyOrWLR8T0REitWJmzyG+Hrxny9mcueX72IxHQAcCg6mXVYWa4ChQ4fyyiuv4Ovr696gRURERKTimD+fBksWAJANTOr1KLm+EdqY3A1UlBIRkWJ1bJPHlWu30nLso8T/+sPxk23aUDB5MlndurFg9Gi6dOnivkBFREREpOLZuRPzwQcxjh5ObXIjYR3upFaVQG1M7gYqSomISLGL37uN+Ee7w9EnsJqGgfH88/DMM1T18uK3337Dy8vLvUGKiIiISMVSUAC9emEcfQL073FxPPbTt3j7+Lg5sIpLe0qJiEjxMU14+21o3txVkLJ5e3OLaTKnTh04WohSQUpERERESt0LL8Dq1c6v69Sh4U8/qSDlZipKiYhI8cjJgT594KGH4MgRANZ5exNfUMDPQUH4+fm5OUARERERqbBWrsQcMwYA08sL5s2DUC3VczcVpURE5OJt2QLXXQfvv+9qeh1oVlBA5QYNWLduHd27d3dffCJuNG7cOJo0aUJwcDARERHcdtttbNmypUgf0zQZNWoU1atXx9/fn1atWrF582Y3RSwiIlLOZGSQ3707xtGnQ2+96y5o2tTNQQmoKCUiUiZtSrUxIXELQz7awITELWxKtbkvmPnzoXFjOPoP6MNeXnQHhgL33Hcfa9as4bLLLnNffCJutnLlSgYOHMiaNWtYtmwZBQUFtGnThpycHFef8ePHM3HiRKZOncovv/xCVFQUCQkJZGVluTFyERGRcsA0ye/dG2t6OgB/hIcT+957bg5KjtFG5yIiZcymVBuTlm3Flmsn2M+H1dszSNqTybCE2NJ9WsiRI/D44zBliqspu1Ytrtm1i38CApjz1lv07t279OIR8VBLliwpcjxz5kwiIiJYv349N954I6ZpMnnyZJ5++mnuuOMOAGbPnk1kZCTz5s2jf//+7ghbRESkXHBMn4518WIADlos1F61CsNbpRBPoUyIiJQxSzenYcu1Uy8iCMMwiAyxkpyeTWLSvtIrSqWkQPfusHbt8bbevQmaPp3Bs2bRunVr6tevXzqxiJQxtqNP/AkLCwNgx44dpKWl0aZNG1cfq9VKy5Yt+fnnn09blMrPzyc/P991nJmZCYDD4cDhcJRI7A6HA9M0S+z6cn6UD8+ifHgW5cOzuC0fmzZROGSIa4mYbdIkYmJjK/zfi9LIx7leW0UpEZEyJuXAYYL9fDAMAwDDMAj282FXRs5ZXllMli6Fu+6CjAwA7BYLthdfpOrIkWAYDBw4sHTiECmDTNNk+PDhtGjRgvj4eADS0tIAiIyMLNI3MjKSXbt2nfZa48aNY/To0Se179+/n7y8vGKM+jiHw4HNZsM0TSwW7QLhbsqHZ1E+PIvy4Vncko/cXKzt21O5oACAP268kfDu3Uk/uoyvIiuNfJzrFgQqSomIlDExYQGs3p5BZIgVwzAwTZOsPDsNo0t4llRhofMxui++CEc3iUzx8uL2wkIClyxh5ciRGCUbgUiZ98gjj/D777/z448/nnTuWKH5GNM0T2o70ciRIxk+fLjrODMzk5o1axIeHk5ISEjxBX0Ch8OBYRiEh4frH3keQPnwLMqHZ1E+PIs78mE88gjGP/8AkFqlCnHffAP+/qXy3p6uNPJxrk/eVlFKRKSMaRsXRdKeTJLTswn28yErz06ovw8J9SPP/uILtX+/c3bUsmWupq8Mg96FhUTExjJz6tQz/uNZRGDQoEF88cUXrFq1iujoaFd7VFQU4JwxVa1aNVd7enr6SbOnTmS1WrFarSe1WyyWEh3wG4ZR4u8h50758CzKh2dRPjxLqebj889h+nQACn19CV++HEtgYMm/bxlS0vk41+vqp1NEpIyJrxHKsIRYmtWrSoi/N83qVS3ZTc5Xr4arr3YVpAqBJ4BOpsktPXuybt06GjZsWDLvLVIOmKbJI488wmeffcZ3331HnTp1ipyvU6cOUVFRLDuh6HvkyBFWrlxJs2bNSjtcERGRMs3ctQvz3ntdx15TpuDbqJEbI5Iz0UwpEZEyKL5GaMlvam6azifrPfYYHF2Lv99ioZvDwWpfX958/XX69++vGVIiZzFw4EDmzZvH559/TnBwsGsPqdDQUPz9/TEMg6FDh/LSSy9x6aWXcumll/LSSy8REBBAr1693By9iIhIGWK3s691a6IOHnQe33EHPPige2OSM1JRSkRETpaZCfffD5984mpytGjB3TYbu3NyWP3JJ1x99dVuDFCk7Jh+dPlAq1atirTPnDmTvn37AjBixAhyc3MZMGAABw8e5LrrriMxMZHg4OBSjlZERKTs+qdvX6J37ADAFhZG6HvvgW6gejQVpUREpKg//oCuXWHr1uNtI0ZgGTuWGXv3EhISQmhoCc/SEilHzKMPBjgTwzAYNWoUo0aNKvmAREREyqGMuXOJnjcPgAKLhZBvvoFKldwblJyV9pQSEZHj3n8frrvOVZDKtFj4oFs3eOUV8PamZs2aKkiJiIiIiEc5smMHlhP2kSp86SWM665zY0RyrlSUEhERyMuD/v3hnnsgNxeAjYbBVQ4Hz65bR05OjpsDFBERERE5hYICdjVvTuWje6Dm3HQT1hEj3ByUnCsVpUREKrodO6B5c3jnHVfTO8D1pklcx46sW7eOQD1CV0REREQ80O9dunDp3r0A5IaHE/jJJ9pHqgxRUUpEpCL78ku4+mr49VcA8gyDPsAALy9efPVVPv/8c8LCwtwbo4iIiIjIqXz7LQ2+/BIAh8WC/6JFoLFrmaKNzkVEKqKCAnjmGedeUUf9bbFwm8PBgRo1WPnxxzRv3vykl21KtbF0cxopBw4TExZA27go4mtojykRERERKWV798Jdd2Ece6DISy9Bs2bujUnOm4pSIiIVTVoa9OwJK1ceb+vShZ9bt6bGV1/x3fvvU7Vq1ZNetinVxqRlW7Hl2gn282H19gyS9mQyLCFWhSkRERERKTX2vDyybr2VsPR0Z0O7dlgef9y9QckFUVFKRKQiWbUKevRwFqYAh5cXltdegyFDuNsw6PXww1gsp17ZvXRzGrZcO/UigjAMg8gQK8np2SQm7VNRSkRERERK1Ikz9huOvpf7/vrNeaJ6dZg9G04zhhXPpqyJiFQEpgnjx8NNN7kKUqmGwR1hYfx7992uzSBPV5ACSDlwmGA/H4yjfQ3DINjPh10ZejKfiIiIiJScYzP2V2/PwJw7hb5HC1IOw4APP4TwcDdHKBdKM6VERMq7Q4egTx/44gtX07dAL9OkYcOGOByOc9orKiYsgNXbM4gMsWIYBqZpkpVnp2G0ZkmJiIiISMk5NmO/etomnvx6Fl5H23/uM4QWN97o1tjk4mimlIhIebZhg/PpeicUpF4AbgEGjhrF0qVLSbdbXXeeMnMLWL09g0nLtrIp1VbkUm3jogj19yE5PZs0Wx7J6dmE+vuQUD+ydD+TiIiIiFQoKQcO45N3iM7jBlH9aNumK5qwIOEut8YlF08zpUREyiPThBkzYNAgyM8H4ABwF/BrRARLPviAm2++GTj3vaLia4QyLCGWxKR97MrIoUF0KG3qR2o/KREREREpUdWDvak+sB//sR8BwBYaxqQ+zxEfHuLmyORiqSglIlLeHD4MAwY4N3w8alvlytx88CC1b7yRDR9+SPXq1V3nzmevqPgaoSpCiYiIiEipumz5B3Q6sA+AQsNgYt9REBl52hn757I1hXgGLd8TESlPtm6Fpk2LFKQYOJDwP/9kwMsvs3z58iIFKXDuFZWVZ8c0TQDXXlG1qwSWZuQiIiIiIifbvZvb5sxwFS++6T6Q0PZtGZYQe8pC04mbop9pawrxDJopJSJSXixYAP36QVYWAHne3lhnz8bo1YtKwBNPPHHKl7WNiyJpTybJ6dkE+/mQlWfXXlEiIiIi4n5HjkCPHpCR4Txu356O816HMzwx+ly3phDPoJlSIiJl3ZEjMGwYdOvmKkglAVcVFPCJ99nvPRzbK6pZvaqE+HvTrF7V0955EhEREREpDTt37uTzyy+H1audDbVrw5w5ZyxIwfltTSHup5lSIiJl2T//QPfux39ZAx8A/YGHH3uMS6+9iQmJW866nl57RYmIiIiIp8jJyWFqy5a8lpLibPD1hU8+gbCws742JiyA1dsziAyxYhiGa2uKhtEa63oiFaVERMqqZcugVy/4918A8oGhwEehocybM4e617Rk0rKt2HLtBPv5sHp7Bkl7MjULSkREREQ8lmmaPNWlC2OOFaQAXn8dGjc+p9dra4qyRcv3RETKGocDXngB2rZ1FaR2AS2A9U2asGHjRjp16lRkPX1UqB/1IoKw5dpJTNrn1vBFRERERE7n5eee4/6lSwk+1nDXXdC//zm/XltTlC2aKSUiUpb8+y/cfTcsXepqyrjuOpr88gt3PvIIr776Kr6+voDW04uIiIiI59uUamPp5jRSDhwm88+faDVmDA2OnaxfH95+G46OZ8+VtqYoO1SUEhHxECf+Qj62/1P9asHHO6xd69zMfPdu57HFAqNHU+Wpp/gxOZnY2Ngi19N6ehERERHxZJtSba7tJgr+TSHqpeH0OXYyMBA+/dT5Xym3znv53qpVq+jYsSPVq1fHMAwWLVrkOme323niiSdo0KABgYGBVK9enXvuuYc9e/YUZ8wiIuXOsV/Iq7dnkJlbwOrtGUxatpXNe2xgmjB1Ktxwg6sgtd8wSJkxA555BiyWkwpS4FxPH+rvQ3J6Nmm2PJLTs7WeXkREREQ8xonbTTTJSWdyQcHxkzNmwOWXuy84KRXnXZTKycmhUaNGTJ069aRzhw8f5tdff+XZZ5/l119/5bPPPmPr1q106tSpWIIVESmvTrf/0/fr/iZ0wAAsQ4aA3Q7Aj8CVpsmH6elnvKbW04uIiIiIJzu23YR/ThYPzxyPHyYAq9r0gJ493RydlIbzXr7Xrl072rVrd8pzoaGhLFu2rEjbG2+8wbXXXktKSgoxMTEXFqWISDl3qv2fLstIofuYkfjv2enq9xowNjCQ6TNm0PMcflFrPb2IiIiIeKqalf1J/H0Njy+bTVh6KgDbatdn4+BnuNHNsUnpKPE9pWw2G4ZhUKlSpZJ+KxGRMut/939qtPIrbnvrBfyO5AFgA+4Fkhs0YM0nn3DZZZe5NV4RERERkYu1f81CGo97ivpHj7MCQ3jnkZfpc2VNt8YlpadEi1J5eXk8+eST9OrVi5CQkFP2yc/PJz8/33WcmZkJgMPhwOFwlEhcDocD0zRL7PpyfpQPz6J8uEeb+hEk7clkxz8Z9F80jZtWfOo69xvQFbixXz9+fv11AgIClB830c+HZymNfCjXIiIiJeObb77h99FP8/XRY4dhsOypCfTpeaNm+lcgJVaUstvt9OzZE4fDwZtvvnnafuPGjWP06NEnte/fv5+8vLwSic3hcGCz2TBNE4vlvLfVkmKmfHgW5cM9wr3hgchcao55hBrbk1zt2d26MWz3bh7p2ZMePXqQnZ1Ndna2GyOt2PTz4VlKIx9ZWVklcl0REZGKbNOmTTzRvTsrTdO10bXlhRe446n73RqXlL4SKUrZ7Xa6d+/Ojh07+O677047Swpg5MiRDB8+3HWcmZlJzZo1CQ8PP+PrLobD4cAwDMLDw/WPCg+gfHgW5cNNvv6ayD59MA4eBMD088N84w38+vZlbno6ERERyocH0M+HZymNfPj5+ZXIdUVERCqq9PR0ut56Kx/m5BB2rLFTJ3jqKXeGJW5S7EWpYwWpbdu28f3331OlSpUz9rdarVit1pPaLRZLiQ74DcMo8feQc6d8eBblo3htSrWxdHMaKQcOExMWQNu4qONTkgsL4fnnYexYV/9kYFGXLjx2//3gcLhyoXx4Bv18eJaSzofyLCIiUnzy8vK4/bbbeHr3bq461hgbC3PmgH7nVkjnXZTKzs4mOTnZdbxjxw42btxIWFgY1atXp2vXrvz666989dVXFBYWkpaWBkBYWBi+vr7FF7mISBmwKdXGpGVbseXaCfbzYfX2DJL2ZDIsIZZ47zzo1Qu++87V/zPgYauVsa1auS1mEREREZGSMH/+fK5evZrexxoCA2HhQgjVHlIV1XkXpdatW0fr1q1dx8eW3vXp04dRo0bxxRdfAHDllVcWed33339PK/0jS0QqmKWb07Dl2qkXEYRhGESGWElOz2bzx18T/9pjsHcvAAXAE8CX9eqx7NNPadiwoVvjFhEREREpbr1r16a3xQLHHiQyaxbUr3/G10j5dt5FqVatWmGa5mnPn+mciEhFk3LgMMF+PhiGAYABdFvxMV0XTANHIQB7gB5AdM+erH/nHYKDg90Wr4iIiIhISbCkpWHp2RPjWEFqxAjo2tW9QYnbadGmiEgJigkLICvPjmmaWHOyuHv8UHrMn4LX0YLUSi8vrvPxodebbzJv3jwVpERERESkXPn111/pftttBN97L8a+fc7G//ynyJ6qUnGVyNP3RETEqW1cFEl7MrH/uoFhM54hMv2f4yeffpqsJk34vGZNrr76avcFKSIiIiJSAvbs2UPHjh15as8e/I81xsTARx+Bt8oRoqKUiEiJiq8RyuiMtUS99hjeR/IByAsMwu/jj6B9ezq4OT4RERERkZLw32176NKhLQl79jDwaJtptWJ89hlUrerW2MRzaPmeiEhJOXwY+vUj+rFBroLUL0Dr4CDyb77ZvbGJiIiIiJSQ31IO0K3HnURs3cRbJ7T/89IEuOYat8UlnkdFKRGRkpCcDNdfDzNnupreBHrVrMnkRYuwWq3ui01EREREpAQNGjqcnA2r+AzwO9r2TfNOzI/XjVkpSsv3REQu0KZUG0s3p5Fy4DAxYQG0jYsivkYoLFwIfftCZiYAOcCDQGaHDqydPZuwsDB3hi0iIiIiUmKmT5/O6oWzSQRqHW3bFduID3sOISwjx52hiQfSTCkRkQuwKdXGpGVbWb09g8zcAlZvz2DK4iT+fWgQ3HGHqyD1F3C9xcKV48fz+eefqyAlIiIiIuVaixYtmOYXQOujx5mVqjL30VexFVqoVSXQrbGJ59FMKRGRC7B0cxq2XDv1IoIwDIN6BTbuePlRqm7/3dVnTa1a9DlyhP/75BOaN2/uxmhFREREREpHg7VraZB3GAC7tw9TBrzMhoIAQvxMEupHuDk68TQqSomIXICUA4cJ9vPBMAzq/rGWnpOeINh2wHnSxwcmTiS+Tx9+zMsjPDzcvcGKiIiIiJSglJQUUlJSaGEYMGCAq/27IaPZ3+BqmoUF0DjKh7jqoW6MUjyRilIiIhcgJiyANdv203LZ+7T5eBoWhwOAvb5WolauwGjalCAgKDjYvYGKiIiIiJQgm81G+/btObxlC5sDA/Gz250nhgyh7WsjaQs4HA7S09PdGqd4JhWlRET+x2k3MD/BrdWtJDz+JA1//8nVtgQYEhJCYrVqrk0dRURERETKK7vdTrdu3UjetIk13t74HTrkPHHTTfDaa26NTcoGFaVERE5wbANzW66dYD8fVm/PIGlPJsMSYo8Xptat44quXWHXLgAcwChgWbMbWPXZJ0RGRrorfBERERGRC3IuN2ZPZJomAwYMYNmyZXzk5UWjggLnibp1Yf588Fa5Qc5OT98TETnBiRuYR4X6US8iCFuuncSkfWCaMH06NG/uKkjtB24BLM8/z4+rvldBSkRERETKnFM9WXrSsq1sSrWd9jWvvPIKM2bMYIRh0KOw0NkYGAiffw5VqpRS5FLWqXQpInKCEzcwBzAMg2A/H/am7ofeL8AHH7j6/gw8HBbGax99REJCgpsiFhERERG5OP/7ZOnIECvJ6dkkJu075Wypjz/+mJEjR9IOePnEE++/D/HxpRW2lAMqSomInCAmLIDV2zOIDLFiGAamaRKyYxtPznkediW7+qX17MmL6eksfv99qlev7saIRUREREQuzuluzO7KyDll/8WLFxMLfOrri3HkiLNx1Ci4/fbSCVjKDRWlRERO0DYuiqQ9mSSnZxPs50PDHxfz8Acv45ef6+wQHAz/939Ede3KYveGKiIiIiJSLE51YzYrz07D6FPvKfV/kyaRlZiI/969zoY77oBnny3FiKW8UFFKROQE8TVCGZYQy/KNu7lqyovcmDjfde4Pw8B77lyu6NTJjRGKiIiIiBSv/70xm5VnJ9Tfh4T6x/dLPXDgAJUqVcJimljuvpvQYwWpBg1g9mywaMtqOX8qSomI/I/4QhvxL9wH//2vq202MKtJE2ZfeaXb4hIRERERKQnHbswmJu1jV0YODaJDaVM/0rWflM1mo3Xr1lx++eV8UKMG3t9843xhWJhzY/OgIDdGL2WZilIiIidasgTuugsOHAAgDxgEhA4fTuLLL+Pj4+PW8ERERERESkJ8jdBTbmp+5MgRunTpwu+//07rnTvxzsx0nvDygk8+gTp1SjlSKU80v05EBKCwEJ57Dm691VWQ+htoGxREh0WLeG3CBBWkRERERKRCcTgc9OvXj+XLl9PW35+Jhw8fPzllCtx0k/uCk3JBM6VERNLToVcvWL7c1fQ58PqVVzLrs8+oo7s/IiIiIlIBjRw5kg8++IBYLy++8PbGkut8+M+GTncxK+x6YhK30DYu6pQzrETOhYpSIlKx/fwzdO8OqanOYy8vHGPGsDswkMUPPojVanVvfCIiIiIibvDGG28wfvx4QoG1ERH4Ht3Y/I/4poxLeJDA3AJWb88gaU8mwxJiVZiSC6KilIhUTKYJkyfDiBFQUOBsiozE+PhjLC1b8oh7oxMRERERcZu0tDSefPJJvIBfL72UStu2AZARcwmv3juautUqYRgGkSFWktOzSUzap6KUXBDtKSUiFU9mJnTrBsOHuwpS3wOT+/SBli3dG5uIiIiIiJtFRUWxdOlSVl19NXWPFqSoUoVpwyfiVbkyhmEAYBgGwX4+7MrIcWO0UpZpppSIVCy//w5du8KxX67AOGD3Aw8wcfRo98UlIiIiIuJmpmm6Ck4tfvsNfv3VecLHBxYuJDA3gqztGUSGWDEMA9M0ycqz0zBas6TkwmimlIhUHLNnQ9OmroLUQaCb1UrtefN485138PPzc298IiIiIiJukpqaSrNmzfj9998hMRGGDDl+8p134IYbaBsXRai/D8np2aTZ8khOzybU34eE+pHuC1zKNM2UEpHyLzcXBg+GGTNcTeuBZ2JjmfT551x++eXui01ERERExM0OHDhA27Zt2bx5M2PvvpuPdu3CKCx0nhwxAvr2BSC+RijDEmJJTNrHrowcGkSH0qZ+pPaTkgummVIiUr5t3w7NmxcpSM3y9eXt3r35dMMGFaREpFSsWrWKjh07Ur16dQzDYNGiRUXO9+3bF8Mwivxp2rSpe4IVEZEKJScnhw4dOrB582biIiOZa7NhZGY6T3buDOPGFekfXyOU4QmxvN7zKobrqXtykVSUEpHy6/PP4ZprYMMG57G/P8yZQ8Lff/POnDkEBAS4Nz4RqTBycnJo1KgRU6dOPW2fW265hb1797r+fPPNN6UYoYiIVER2u51u3bqxevVqIipVYm10ND4pKc6TjRrB3LlgUdlASo6W74lI+VNQAE89Ba++6mrKrlGDvbPm84WjCik/pBMTlk3buCjd2RGRUtGuXTvatWt3xj5Wq5WoqKhSikhERCo6h8NB3759Wbx4Mf5+fvzRrBmBx26IREXBl19CUJB7g5RyT0UpESlf9u6Fnj1h1SpX03xgacub4R8fbLkZBPv5sHp7Bkl7MhmmKcci4iFWrFhBREQElSpVomXLlowdO5aIiIjT9s/Pzyc/P991nHl0qYXD4cDhcJRIjA6HA9M0S+z6cn6UD8+ifHgW5ePsJk6cyLx58/D29mZDly5EfPABAKafH+bChVCjBhTT90/58CylkY9zvbaKUiJSfqxY4SxI7dsHgB140suLK6ZP54qYG1jz9wHqRQRhGAaRIVaS07NJTNqnopSIuF27du3o1q0btWrVYseOHTz77LPcdNNNrF+/HqvVesrXjBs3jtGjR5/Uvn//fvLy8kokTofDgc1mwzRNLFrO4XbKh2dRPjyL8nF2nTt35osvvuDZOnW4bM4cV/uhKVPIr10b0tOL7b2UD89SGvnIyso6p34qSolIqdqUamPp5jRSDhwmJiygeJbQORwwfjzm009jHK3I7wYejY7m6a++olGjRgz5aAPBfj4YhgGAYRgE+/mwKyPnIj+RiMjF69Gjh+vr+Ph4GjduTK1atfj666+54447TvmakSNHMnz4cNdxZmYmNWvWJDw8nJCQkBKJ0+FwYBgG4eHh+keFB1A+PIvy4VmUj7OLiIjg++efx3LC8nLHK68Qet99xf5eyodnKY18+Pn5nVM/FaVEpNRsSrUxadlWbLn24ltCd/Ag9OkDX36JcbQpEZjfqRMz3n/f9Q+zmLAAVm/PIDLEimEYmKZJVp6dhtGaJSUinqdatWrUqlWLbdu2nbaP1Wo95Swqi8VSogN+wzBK/D3k3CkfnkX58CzKx8k+/fRTkpOTGTFiBMZff0HXrmC3O08+9BCWxx8HwzjzRS6Q8uFZSjof53pdFaVEpNQs3ZyGLddefEvo1q93/iLdudN5bBgsbtKEnb178+7Aga5ZUQBt46JI2pNJcno2wX4+ZOXZCfX3IaF+ZPF8OBGRYpSRkcHu3bupVq2au0MREZFy4rvvvqNXr14cOXKEuKpV6TBmDBw65Dx5663wxhslVpASOR0VpUSk1KQcOFw8S+hME955B3PwYIwjR5xtVarA3Lm0u+WWU74kvkYowxJiSUzax66MHBpEh9KmfqT2kxKRUpGdnU1ycrLreMeOHWzcuJGwsDDCwsIYNWoUXbp0oVq1auzcuZOnnnqKqlWrcvvtt7sxahERKeuObZ2xbt06Fo55kCNHjtCrc2fav/XW8Ru7V10FH38M3ioPSOnT3zoRKTXFsoQuJwcefhjef9+1XO/PkBBif/kFrzp1zvjS+BqhKkKJiFusW7eO1q1bu46P7QXVp08fpk+fzh9//MGcOXM4dOgQ1apVo3Xr1nz88ccEBwe7K2QRESnjjm2d8c/O7ayaOIj83MPUuPwapuXkY6xb5+wUHQ1ffQVBQe4NViosFaVEpNRc9BK6LVucy/U2bXI1vWEYmM8+y+W1a5dM0CIixaBVq1aYpnna80uXLi3FaEREpCJYujmNPf/sZvW0YeRlHSSqbn3eDI+h0rcLnR2Cg+Gbb6B6dfcGKhWadhgTkVJzbAlds3pVCfH3plm9que+yfn8+ZiNG7sKUlnAgCpVCFuUiL1hR4Z+vJEJiVvYlGor2Q8hIiIiIlIG/J12gJ+nDiXr3zSq1KjDtOtuotMPRwtS3t7w6afQoIF7g5QKTzOlRKRUnfcSuiNH4PHHYcoU13K9TcC0Vq24+42Z/N+6/dhyM4rvaX4iIiIiIuVA3agw6rbuwc7vP2Js5z7cNn308ZNvvw0JCe4LTuSo854ptWrVKjp27Ej16tUxDINFixYVOW+aJqNGjaJ69er4+/vTqlUrNm/eXFzxikhFsns3tGwJU6a4mj4wDJa9+CLTli9nzZ5819P8okL9qBcRhC3XTmLSPjcGLSIiIiLifm3jori6bXce6DWSvjPGYTm6jDx9yGPQr5+boxNxOu+iVE5ODo0aNWLq1KmnPD9+/HgmTpzI1KlT+eWXX4iKiiIhIYGsrKyLDlZEKpDERLj6alizxnns68s/zzxDrZUrGfbMM1gsluJ7mp+IiIiIiAfYlGpjQuIWhny04YK2psjNzWXw4MFkZGQQXyOUJy714fmZz2E9kg/Aodu6ETFpfEmELnJBznv5Xrt27WjXrt0pz5mmyeTJk3n66ae54447AJg9ezaRkZHMmzeP/v37X1y0IlL+FRbCmDGYo0djHL2bY4uswf6ZH1CvXUuiT+haLE/zExERERHxAMeelmfLtV/Q1hRHjhyhS5cuLF68mF9//ZUfPv2U2D5d4VCGs8ONN1Lpo/fBMM58IZFSVKx7Su3YsYO0tDTatGnjarNarbRs2ZKff/75lEWp/Px88vPzXceZmZkAOBwOHA5HcYbn4nA4ME2zxK4v50f58Cxuzce//2LcfTfGsmWu/aO+MizMffAVAvcFMPSfg8RVP/4LuU39CJL2ZLJtXxYhfj5k5tmpFODLzVeEl5u/T/r58CzKh2cpjXwo1yIiUlqWbk5zbU1hGAaRIVaS07NJTNp31qJUQUEBd911F4sXL8bf35/xzz2H0aEDbN/u7BAXB4sWgdVa8h9E5DwUa1EqLS0NgMjIoo93j4yMZNeuXad8zbhx4xg9evRJ7fv37ycvL684w3NxOBzYbDZM08Ri0QMI3U358CzuyofP+vVUevBBLHv2AFAIvGD1Z/Ow8dS49BJ2HMhh4S87CL/++CNrw73hnqursHL7IVIP5dOomj8tL6lEuHc+6enppRZ7SdLPh2dRPjxLaeRD2w+IiEhpudCtKRwOBw888AALFizA19eXzxcsoNnEibBunbNDdDQsXgyVK5f0RxA5byXy9D3jf6YDmqZ5UtsxI0eOZPjw4a7jzMxMatasSXh4OCEhISURHg6HA8MwCA8P1z8qPIDy4VlKPR+mCdOmYTz2GIbdDsA+YEDNWKo/N51LK1cFoIrdQkYeREREFHl5RATcEF/yYbqLfj48i/LhWUojH35+fiVyXRERkf91IVtTmKbJ0KFDmTVrFl5eXnz04YckfPQRLF3q7FCpEixZAjVrls6HEDlPxVqUioqKApwzpqpVq+ZqT09PP2n21DFWqxXrKaYQWiyWEh3wG4ZR4u8h50758Cyllo+sLLj/fpg/39W0Cnjztj5w830EVg6FY7+Q8wtoWLNShfw7op8Pz6J8eJaSzofyLCIipaVtXBRJezJJTs8m2M+HrDw7of4+JNQ/9b+lAV555RXeeOMNAGbOnMnt//0vvP++86TVCl984Vy6J+KhinWkVadOHaKioli2bJmr7ciRI6xcuZJmzZoV51uJSFm3eTM0aVKkIDXV35/8b77hmamvUynQj+T0bNJseSSnZ5/1F7KIiIiISFkWXyOUYQmxNKtXlRB/b5rVq3rWTc67du1KrVq1mDZtGr0PHoRXXnGesFjgww/hhhtKKXqRC3PeM6Wys7NJTk52He/YsYONGzcSFhZGTEwMQ4cO5aWXXuLSSy/l0ksv5aWXXiIgIIBevXoVa+AiUobNnYvZvz/G4cPO45AQzFmz6NGiBeHh4QAMS4glMWkfuzJyaBAdSpv6kef01BERERERkbIqvkboeY1569Wrx6ZNmwj65hvo2fP4ialT4fbbSyBCkeJ13kWpdevW0bp1a9fxsf2g+vTpw6xZsxgxYgS5ubkMGDCAgwcPct1115GYmEhwcHDxRS0iZVNeHgwdCm+/7Xq6XmHDhnh99hnGJZcQfkLX8/2FLCIiIiJSEbz11ltER0fToUMHAILWrYPevZ17tQI88ww8/LAbIxQ5d+ddlGrVqhXmsb/sp2AYBqNGjWLUqFEXE5eIlDc7dkC3brB+vavpfauV+tOmcc0ll7gxMBERERGRsuHdd9/l4YcfxsfHhw0bNhBXWAidO8ORI84O/frBCy+4N0iR81AiT98TESniq68we/fGOHQIgFxgQt263PP998TExLg1NBERERGRsmDWrFn0798fgMGDB1M/MBCaNYPMTGeH9u3h7bfBMM5wFRHPokfKiEjJKSiAp56Cjh1dBaltwJu9e/PEX3+pICUiIiIicg7mzp1Lv379ME2TQYMG8eoTT2C0awd79zo7XHcdfPwxeGveiZQt+hsrIiUjLQ3uvBNWrHA1feHjg9esWTyqBx+IiIiIiJyT+fPn06dPH0zT5KGHHuL1MWMw/vMf+OsvZ4fYWPjqKwgMdG+gIhdARSkRKX6rVjmf/nH0zo3p5cV7sbH856uvqFO3rpuDExEREREpG/773//Sq1cvHA4H/fr1Y9qECRgdOsC6dc4O1avD0qVQtap7AxW5QCpKiUjxMU147TXMkSMxCgudbdWrY3z8Mfe3aOHe2EREREREyphrrrmGe+65h4KCAt55800sPXrA9987T4aFQWIi1K7t1hhFLoaKUiJSPA4dgr594fPPOba14r74eCKXL4eICDcGJiIiIiJSNnl5eTFjxgzMwkK8HnwQPv8cgMKAQD56fjr//eMIMalbaBsXRXyNUDdHK3L+tNG5iFy8DRswr7nG9UsS4N3ISDI/+UQFKRERERGR8/Dtt99y3333UVBQAIDFMPAaMQJmzQLA4evLpAGvsNAnmszcAlZvz2DSsq1sSrW5MWqRC6OZUiJy4UwT/u//MAcOxMjPB+AAMK9dO+7/7DP8/PzcG5+IiIiISBmyfPlyOnXqRG5uLvHx8QwbNgzGjoXJk50dLBa+fOI11lS7inoRQRiGQWSIleT0bBKT9mm2lJQ5KkqJyIU5fBgGDoRZs1zL9dZZLPwzcSKPDBni1tBERERERMqaxMREOnfuTF5eHu3bt2fAgAHw5pvw7LPHO737Lt8FXEVwbgGG4RyFG4ZBsJ8PuzJy3BS5yIXT8j0ROX9bt0LTpq4pxAAfhYURvGEDt6kgJSIiIiJyXpYuXUqnTp3Iy8ujY8eOfPrpp1g//RQeeeR4p9deg379iAkLICvPjmmaAJimSVaendpVAt0UvciFU1FKRM7PggWYjRvDH384jwMCWDNoEJ127+ayhg3dG5uIiIiISBmzePFiOnfuTH5+Pp07d2bBggVYv/0W+vRxbpcB8NRT8OijALSNiyLU34fk9GzSbHkkp2cT6u9DQv1IN34KkQuj5Xsicm7sdnjiCZg0ybVcj8svh08/pWn9+u6MTERERESkTDp06BB33nkn+fn53H777Xz00Uf4rl0LXbvC0Y3OeeghGDPG9Zr4GqEMS4glMWkfuzJyaBAdSpv6kdpPSsokFaVE5OxSUzG7d8f4+WdX05ratWn6yy8QFOTGwEREREREyq5KlSrx8ccf8/777zNz5kx8/vgDOnSAvDxnhx49YOpUMIwir4uvEaoilJQLKkqJyJl9+y2OO+/E8u+/ABwBPmjcmG7ffVekILUp1cbSzWmkHDhMTFgAbeOi9ItSREREROQU8vLyXE+qbtu2LW3btoVNm6BNG8jMdHa65RaYMwe8vNwYqUjJ0p5SInJqDge8+CJmmzauglQK8PWTT9L3v/8lKDjY1XVTqo1Jy7ayensGmbkFrN6ewaRlW9mUanNT8CIiIiIinumzzz7j8ssvZ+vWrccbt2yBm2+GjAzncYsW8Omn4OvrniBFSomKUiJyEuPAAYwOHeC55zCObq6Y6OvHO+Nnc+kjT7oeP3vM0s1p2HLt1IsIIirUj3oRQdhy7SQm7XNH+CIiIiIiHmnBggV0796dXbt28eabbzob//4b/vMf2Hd07HzttfD11xAQ4L5ARUqJilIiUtR//0vVNm0wli4FoBB4pVpd5kz4ir+C6p1yBlTKgcME+/m4ilWGYRDs58OujJzSjl5ERERExCPNnz+fnj17UlhYyN13382ECRNg925nQSo11dnpyithyRIICXFrrCKlRXtKiZQjF7Wvk2nCm2/C0KF4HX3Sx+HQMF7q+Rj2m2+lpsWCaZokp2eTmLSvyHVjwgJYvT2DyBArhmFgmiZZeXYaRmtPKRERERGRDz74gD59+lBYWEifPn1477338EpPdxakdu50dqpfHxIToXJlt8YqUppUlBIpJ47t62TLtRPs58Pq7Rkk7clkWELs2QtT2dmYDzyA8dFHrumTZvPmvNzrWVL9w4iyOFtPNwOqbVwUSXsySU7PJtjPh6w8O6H+PiTUjyyBTyoiIiIiUna8++679O/fH9M0uffee3n33XfxOnDAuYfUtm3OTvXqwbffQni4e4MVKWVavidSTlzwvk5JSRQ2bozx0UeupoV16uD49ltC69UmK8+OeXRfqWMzoGpXCSxyifgaoQxLiKVZvaqE+HvTrF7VcyuGiYiIiIiUYwUFBbz33nuYpsmAAQOYMWMGXpmZzqfsJSU5O9WqBcuXQ7Vq7g1WxA00U0qknLigfZ3mzaPwvvvwyssDwAas7NOHpuPGYfj6ntcMqPgaoSpCiYiIiIicwNvbm2+++YY5c+YwZMgQjOxsaNcONm50dqhe3VmQiolxa5wi7qKZUiLlRExYwDnNagLY/Hc6Gzr2grvuchWkknx82DF/Ph3+7/9chS3NgBIREREROT+mabJq1SrXcVhYGEOHDsXIzYX27WHtWueJiAhnQeqSS9wUqYj7aaaUSDlxrrOatqz9A/87exK3I8nVNr9yBNFLv6dZk/o4HI4i/TUDSkRERETk3JimydChQ5kyZQpTpkxh0KBBzhN5edC5M/zwg/M4LAyWLYPLL3dfsCIeQEUpkXLi2KymxKR97MrIoUF0KG3qRxYtKH3zDTE9euGfbQPgiJcXkxu3Ym3vUTQ/5E0zN8UuIiIiIlLWFRYW8tBDDzFjxgwAfHx8nCfy8qBLF+dG5gAhIc6n7DVs6KZIRTyHilIi5chpZzUVFsLzz8PYsfgfbcqIjOaDxydysM7lhNjyzrz3lIiIiIiInJbdbqdv377MmzcPi8XCzJkzueeee44XpL75xtkxMBAWL4ZrrnFvwCIeQkUpkfIuPZ3CHj3wWrHC1bQm7nqWjBhPflCoa++phtFaoiciIiIicr7y8/Pp2bMnixYtwtvbm3nz5tGtW7eTC1IBAc6vm2l9gsgxKkqJlGc//YT9jjvwSU8HoAD4suV/+LL3GDJzHAQX5p3xiXoiIiIiInJ6hYWFdO7cmaVLl2K1WlmwYAEdOnQ4qSDl8A9g/gtvs3pPMDGJW2gbF6V9W0XQ0/dEyifThIkTcdx4o6sglWax8NukSdy+4luG33KFnqgnIiIiInKRvLy8aN26NQEBAXz99denLUi9OmQiCwLqkplbwOrtGUxatpVNqTY3Ry/ifpopJVLe2Gw4+vbFsmiRq+r8a6VKRK9cyTVHN1PUE/VERERERIrHE088wZ133klMTAzk55+0ZG/+C2/zS0Bd6kUEYRgGkSFWktOzSUzapzG5VHiaKSVSnvz+OzRpgmXRIlfTymbNaJSWRoSe7iEiIiIictH+/vtvunXrRmZmpqvNVZC6446ie0gtXszqGnEE+/lgGAYAhmEQ7OejBw2JoKKUSPkxaxbmddfBtm0AOEJD2fDCC7T86Se8rFY3ByciIiIiUvb9/vvvNG/enAULFjB48ODjJ05TkOLGG4kJCyArz45pmgCuBw3VrhLohk8g4lm0fE+krMvNpXDAALxmzcI41nbNNVg++YSr6tRxZ2QiIiIiIuXGTz/9RIcOHTh06BANGjRg3LhxzhNnKEgBtI2LImlPJsnp2QT7+ehBQyInUFFKpCxLTia/Uyesf/7pakrv0oWIuXPBz8+NgYmIiIiIlB/ffPMNXbt2JTc3l2bNmvHVV19RuXLlsxakwLmf67CEWBKT9rErI4cG0aG0qR+p/aREUFFKpOxauBD73XdjPXwYgBxg6/DhXDVhgnvjEhEREREpR+bNm0efPn0oKCigXbt2LFiwgICAAMjNdW5qvnixs+MpClLH6EFDIqemopRIWWO3U/jkk3hNnIjP0aZdfn74fvEFVyUkuDU0EREREZHyJCcnhxEjRlBQUECvXr2YNWsWPj4+kJMDnTrBd985O56hICUip6eilEhZsmcP9OiB148/upo2xMYS9/PP+Fap4sbARERERETKn8DAQBYvXsy8efMYO3YsFosFMjPh1lvhp5+cnYKC4OuvVZASuQB6+p5IWfHdd3DVVXC0IHUE+P3++7nqr79UkBIRERERKSaFhYX8+uuvruNjm5pbLBY4cABuvvl4QapSJfj2WxWkRC6QilIins7hoHDMGMyEBEhPd7bVrIn9229p+O67YBhnfr2IiIiIiJyT3NxcunXrRrNmzfjhhx+KnkxPh9at4ZdfnMdVqjhvHF93XekHKlJOaPmeiCc7cIC87t3xW778eFubNvDBBwRWreq+uEREREREypmMjAw6derEzz//jNVqZf/+/cdP7tnjnCF17KnXkZGwfDmbKkWzNHELKQcOExMWQNu4KG1oLnIein2mVEFBAc888wx16tTB39+funXr8sILL+BwOIr7rUTKvE2pNiYkbmHIRxuYkLiFTam24yfXrSO3fn1XQcoBJN99t/NxsypIiYiIiIgUm507d9K8eXN+/vlnKlWqRGJiInfccYfz5K5dzuV5xwpS0dGwahWbKkUzadlWVm/PIDO3gNXbM5i0bGvRMb2InFGxz5R65ZVXeOutt5g9ezZxcXGsW7eOe++9l9DQUIYMGVLcbydSZm1KtTFp2VZsuXaC/XxYvT2DpD2ZDLv5Uup//gGOIUPwLywE4KCXF4fffZd6997r5qhFRERERMqXDRs2cOutt5KWlkbNmjVZvHgxcXFxzpPbt8NNN0FKivO4dm3nkr06dViauAVbrp16EUEYhkFkiJXk9GwSk/ZptpTIOSr2otTq1avp3Lkz7du3B6B27dp8+OGHrFu3rrjfSqRMW7o57aRfYrt378dxZw8sPya6pjH+HRFB9R9/pPKll7o1XhERERGR8ubPP//kxhtvJDs7mwYNGrB48WIOEsSExC3k/bGZweMeJjjj6L6usbGwfLlzphSQcuAwwX4+GEf3eDUMg2A/H3Zl5Ljr44iUOcW+fK9FixYsX76crVu3AvDbb7/x448/cuuttxb3W4mUaf/7SywidSfjX32Ahj8muvr81bYtdXfvxk8FKRERERGRYnfZZZdx66230rp1a3744QcOEsSkZVvZs3Itg0bf7ypI5V12Baxc6SpIAcSEBZCVZ8c0TQBM0yQrz07tKoFu+SwiZVGxz5R64oknsNlsXH755Xh5eVFYWMjYsWO58847T9k/Pz+f/Px813FmZiYADoejxPahcjgcmKapfa48REXNR83K/qw5mEFksC8Nf15KlzdHYc3PBSDX25t/X3mF2KFDcQCU4vemoubDUykfnkX58CylkQ/lWkSk/DFNk8LCQry9vbFYLMyZMwcAq9XKjLVbiNy8gWfeepyAbOe/TXdEX8riMf/HgKioItdpGxdF0p5MktOzCfbzISvPTqi/Dwn1I0v9M4mUVcVelPr444+ZO3cu8+bNIy4ujo0bNzJ06FCqV69Onz59Tuo/btw4Ro8efVL7/v37ycvLK+7wAOcA02azYZomFkuxTxaT81RR89Gkmi9/JB+h6YSnuW3N16727Hqx5M58D5969UhPTy/1uCpqPjyV8uFZlA/PUhr5yMrKKpbrrFq1ildffZX169ezd+9eFi5cyG233eY6b5omo0eP5p133uHgwYNcd911TJs27fieJiIiUiwKCwsZPHgwBw8eZO7cuVgsFqxWq+u8/4rlPD/lUaxHnP8WTbm0Aa8NnoR3gfWka8XXCGVYQiyJSfvYlZFDg+hQ2tSP1H5SIueh2ItSjz/+OE8++SQ9e/YEoEGDBuzatYtx48adsig1cuRIhg8f7jrOzMykZs2ahIeHExISUtzhAc5BrGEYhIeH6x8VHqCi5iMiL4X6rz9M+LYtrraDXXoQOvNdAgLdN+W3oubDUykfnkX58CylkQ8/P79iuU5OTg6NGjXi3nvvpUuXLiedHz9+PBMnTmTWrFnExsYyZswYEhIS2LJlC8HBwcUSg4hIRZeTk8Ndd93F559/jmEYDBgwgBYtWhzvMH8+/V8dileBHYDkBtcyZ8Rk9mWZND/Nkrz4GqEqQolchGIvSh0+fPikgaGXl9dpp79brdYileljLBZLiQ74DcMo8feQc1fR8uH45hvyu3Uj/PBhAI4YBvuffZYao0bB0T2m3Kmi5cPTKR+eRfnwLCWdj+K6brt27WjXrt0pz5mmyeTJk3n66addjx+fPXs2kZGRzJs3j/79+xdLDCIiFdmePXvo1KkT69evx2q1Mnfu3KIFqbffhocfxuvo/lBrG93IjAFjOZhlakmeSAkq9qJUx44dGTt2LDExMcTFxbFhwwYmTpxIv379ivutRMqewkJyR47E+uqr+B9tSg8MJGjxYmrccINbQxMREffYsWMHaWlptGnTxtVmtVpp2bIlP//8s4pSIiIX6ffff6d9+/b8888/VK1alUWLFtG8eXPnSdOEl1+Gp55y9T/Qszc/93mSgEP5XFElUEvyREpQsRel3njjDZ599lkGDBhAeno61atXp3///jz33HPF/VYiZcv+/WR27EjI2rWupp0NG1Lr++8xwsLO+NJNqTaWbk4j5cBhYsICaBsXpV+MIiLlRFpaGgCRkUXvwkdGRrJr167Tvk4PixHlw7MoH57lWD6WLFlCjx49yM7O5rLLLuPLL7/kkksucebJNDFGjMCYONH1OvOxx6j08ssM+Z/VC8rrxdHPh2fxpIfFFHtRKvj/27vzuKjq/Y/jrwMMmwKKsriAK5SCprnlUtktt7LVNtMyW26amkvdMrNfaSa3uqmV5lXvbc+0NFvNpSy10jS1VDB30SsCijbs65zfHyMDhCgWMCPzfj4ePHS+Z86Zz/AV58vnfL+fb0AAs2bNYtasWVV9aZEL148/wu23E3j0KABFQPIjj9B85kw4x9KQnUetzFy9B2tOAQG+FjbsTyMhKZ3xfaKVmBIRqUWMP/wCZJpmubbStFmMqD9ci/rDtRT3R25uLnl5efTs2ZP//Oc/BAQE2DcTKiwk8LHH8F+82HFOxuTJZI0aBcePOzHy2kk/H67FlTaLqfKklIiUYpoUzZiB58SJUFgIQH79+uS/+y5NrruuUpdYGZ+MNaeA1qF1MQyDsEAf9qVmsiohRUkpEZFaIPz0FuPJyck0atTI0Z6amlpu9lRp2ixG1B+uRf3hPPFJVlbGp3DkZDYRwf70iwmjTXgAhmFwww038M0339ClSxe8vb3tJ+TmYtx1F8annwJgenhgzp1LnQcewHnbDdVu+vlwLa60WYySUiLVJT2dU7fcQv1vvilpu+IKvBctwrvULx3ncvhkNgG+FsfdcsMwCPC1kJiWVdURi4iIE7Ro0YLw8HBWr15Nx44dAcjPz2ft2rW88MILFZ6nzWIE1B+uRv1R83YetTLr632OVQXfJ/yPuc+O48WpT9OzXSs8PDy4vHTt1vR0uOkm+PZb+2Nvb4z338e49VanxO9O9PPhWlxlsxglpcTtVUe9JnP7dqx9+lA/NbWk7fHHMZ5/HrzO78cuMtifDfvTCAv0wTAMTNMkI7eA9k01S0pE5EKRmZnJvn37HI8PHjzIL7/8QnBwMJGRkYwbN47p06cTFRVFVFQU06dPx9/fn7vuusuJUYuIuL7SqwoyTqaw/NUxpB7azcj79rB1w7qyT05NhWuvhS1b7I/r1IFPPoFrrqnxuEXETkkpcWvnU6+pssmrnHnz8Bg1inpFRQBkeXlhvv02df/kLxb9YsJJSEpnX2omAb4WMnILtC2tiMgF5ueff+aqq65yPC5edjds2DDeeustHn/8cXJycnj44Yc5deoU3bp1Y9WqVQQEBDgrZBGRC0LxqoKUg7+xJG4MmSdT8Q0MpveDz+BV+mbw3r3Qvz8cOGB/HBwMX30FXbs6J3ARAZSUEjdX2XpNlUpe5eaSNnQoDZYudZyX0qQJoWvXYrRq9adjjG0SxPg+0axKSCExLYt2TYO0La2IyAWmd+/emKZZ4XHDMHj22Wd59tlnay4oEZFaIDLYnyVLlrLl3WkU5ObQoGlLujz0Ipd1jS150k8/wcCBcOKE/XHTprByJbRt65ygRcRBSSlxa5Wt13TO5NWBA+QMHEiDXbsc56TccANhixdDJQu8nU1skyAloURERERESrHZbBxY9TYbF8QB0DimG52GTyGkQTB92oYCefD55zB4MOTk2E9q1w6WL7cnpkTE6VRhTNxaZLA/GbkFjrvXxfWamjcou+/GWZNXn30GnTrhdzohlevhQebs2YR9+mmVJKRERERERKQ8m83Gnl83A3D5zfdwy5Ov0bt9C8b3iSamcRB+77yDccstJQmpq66C9euVkBJxIZopJW6tsvWazlRsPCsrh3s+fA1WLHE8z9a6Nd5LluB7ySU1/VZERERERNyKl5cXH374IStWrGDw4MElB0wTc/JkgqZPL2kbPBjefBPOsGupiDiPZkqJWyuu19SjdUMC/bzo0brhGYuc94sJJ8jPwr7UTJKtuZzYm8iTz9/DVaUSUtx6Kx5btuChhJSIiIiISLX44YcfeOqppxyP69evXzYhVVAAw4djlE5I/eMf8N57SkiJuCDNlBK3V5l6TaWLjRtrVnP3jMdomJ8LQKFhUPTPf+Lzj3/A6eV9IiIiIiJStd544w1GjBhBQUEBsbGxZZNRABkZcOutsGoVAKZhYM6ahccjjzghWhGpDCWlRCoptlEAYbOmUf9f/3L84KQHBlLniy/wufxyp8YmIiIiIlJbFRYW8thjj/HKK68AcOutt3LDDTeUfdKxY3DddbBtGwCmjw+/z55N0H331XS4InIelJQSqYxTp/hfnz403bLF0XTy0ksJXrECQkKcGJiIiIiISO2086iVZRt3s2DKWI7s2AjAlClTePrppx0bEAGwaxdcey0cOmR/XL8+5iefkBcdXfNBi8h5UVJK5Fy2bsU2aBBNT3/I2YCsceMI/te/wNPzjKfsPGplZXwyh09mExnsT7+Y8HMuERQREREREbudR63831tfsfrVx8lMPYKnty9XPjiFW+5/qGxC6uuv7Uv2rFb742bN4Kuv4KKLIDXVOcGLSKWp0LlIRUwTFiyAHj3wOJ2Qyvbzw/ziCwJmzjxrQmrm6j1s2J9Gek4hG/anMXP1HnYetdZg8CIiIiIiF66V8cmkHksi8/j/CAxpzD3T36F+TC9WJaSUPGnePOjfvyQh1bEj/PgjtGnjnKBF5LxpppTImWRnk3jttTRbu7akrWtX/D/6CCIjz3rqyvhkrDkFtA6ti2EYhAX6sC81k1UJKZotJSIiIiJSCYdPZhPV6XIajI2jefvL8A8KxrTmkpiWBUVF8PjjMGNGyQk33ADvvw9161Z4Ta1mEHE9mikl8gf5O3eSFBlZNiE1ejSsW3fOhBTYP0ADfC2OacWGYRDga7F/gIqIiIiIyBmlpqYyaNAg9u/fT2SwPxm5BbTpNcCekDJNMnILiPIHbrmlbELq0Ufh44/PmZDSagYR16OklEgpqa+/Tv4ll9A4LQ2APIuFwnffhddeAx+fSl2j+APUNE0Axwdo8wZ1qi1uEREREZEL2aZNm+jUqRMff/wxw4YNo2/bMIL8LOxLzSTZmsu+1Eya55zk/knD4LPP7Cd5etqX8J2l1mux0qsZwoN8aR1aF2tOQdnlgCJS47R8TwSgoID9gwbR6vPPHU0ZEREErFx53mvS+8WEk5CUzr7UTAJ8LWTkFhDkZ6FP27CqjlpERERE5IK3YMECRo8eTX5+PtHR0cyfP5+2Tesxvk80qxJSSEzL4ursI9zx4mgsKcfsJwUFwZIlcM01lXoNrWYQcU1KSonbM48cIfGyy2iVlORoy7rxRgLee++sU4ArEtskqMwHaLumQfRtG6b16iIiIiIipeTm5jJmzBj+85//AHDTTTfx9ttvExgYCNjH1bFNguCTT+DxuyE7235iixbw5ZfndfM4MtifDfvTCAv0wTAMx2qG9k01RhdxJiWlxL2tXo1x1100P3ECgEJPT5g5kzqjR0PprWbPk+MDVEREREREyklNTWXgwIFs3rwZwzB4/vnneeKJJ/DwKFVhxjTtS/OeeML+d4CePWHZMggJOa/X02oGEdekpJS4J5uNwilT8HruOccHXG5oKL5ffAFdujg5OBERERGR2i0oKAjDMAgODuaDDz6gb9++ZZ+QlwcjR8Kbb5a0DRkC//kP+Pqe9+tpNYOIa1JSStxOYXIyB3r0IPrgwZLGa6/F9513oEED5wUmIiIiIlKLFRUVYZomXl5e+Pj4sHTpUgoKCmjRokXZJyYl2XfY++mnkrYpU+Dpp7WaQaSWUVJKLjg7j1pZGZ/M4ZPZRAb70y8mvNIfLse/+ALbrbcSnZcHgGkYGNOmwcSJ4KHNKEVEREREqkNKSgpDhgyhS5cuxMXFAdC0adPyT/zpJ7j5Zjh2uqC5n599ttQdd9RgtCJSU5SUkgvKzqNWZq7egzWngABfCxv2p5GQlM74PtHlElNlklf1/ej+wct0fvs/eJ8+nhsUhO/HH8Pf/lbzb0RERERExE189913DB48mOTkZH766SfGjRtHWNgZajm99RY89BDk59sfR0bai5x37FiT4YpIDdLUELmgrIxPxppTQOvQuoQH+dI6tC7WnAJWJaSUeV5x8mrD/jRy007SZvi19CiVkMru1Anf+HglpEREREREqonNZmPatGlcffXVJCcnExMTw6ZNm8onpAoLYdw4GD68JCF1xRXw889KSInUcpopJReUwyezCfC1YJxeS24YBgG+FhLTsso8rzh51SMvmVsmD6d5VrrjWMHYsfi/9BJYLDUau4iIiIiIuzh+/DhDhw5l1apVANx7773Mnj2bOnXqlH1iWhrcfjusWVPS9vDDMGuWxusibkBJKbmgRAb7s2F/GmGBPhiGgWmaZOQW0L5p2aV7h09m03fb19z7ThzeebkAZFp8WDx6GvfPeMwZoYuIiIiIuIXCwkIuv/xydu/ejZ+fH6+//jr33nsvULbExqXWIwye/gjehxPtJ1osMGcOPPig84IXkRqlpJRcUPrFhJOQlM6+1EwCfC1k5BYQ5GehT9uSKcC27GxufeUxLt9YcrflaLMo4oZPo1WPDk6IWkRERETEfXh5eTF58mSef/55PvroI2JjY4Gy9WF771zP7f+dgndejv2ksDBYuhR69nRi5CJS05SUEpcRn2RlVULqWXfVi20SxPg+0axKSCExLYt2TYPo2zbM8byTW7dy4qqruDy9ZLne+l7XM/fW8fgF1S2TvBIRERERkaqRkpLCkSNH6Ny5MwBDhw7ltttuw8fHx/GclfHJZGTl8vC37/K3pQsc7clRMYR/8xVERNR43CLiXEpKiUvYnZrNO1uPVGpXvdgmQeXaABJefJHGEycSbZoAFFgsrBnzLMu7DKBzgzplklciIiIiIlI1VqxYwbBhw/D09GT79u00bNgQoExCCiDt0FGeef1JYhI2Odp+7D6Aj0c8zb+UkBJxS0pKiUtYu+8U1px8WocGYBgGYYE+7EvNZFVCyjkTSWZBAT/1789lpYoj5kVE4PPZZ/Tr0IF+1R28iIiIiIgbysvLY+LEicyaNQuA2NhYfv/9d0dSqoyNG3nyqSEEnEgGoMjDkxVDx/Jmt1vo2ahBDUYtIq5ESSlxCUet+QT4nHtXvT869dtvHOnVi8vS0hxtBddfj8+770KQZkWJiIiIiFSHXbt2MXjwYH799VcAxowZwwsvvICfn1/ZJ5omvP46jB9PQEEBAKcCg5k3cjo/N2tXrj6siLgXD2cHIALQJMibjLwCzNNL74p31WveoE7FJ61fj0/37rQ/nZCyeXhgvvQSlk8/VUJKRERERKQamKbJ/Pnz6dSpE7/++isNGzbk888/59VXXy2fkMrKgqFDYfRoOJ2QyuranQ/nfcqxDl3p0brhGct1iIj70EwpcQlXtq5PYnraWXfVczBNePllmDgR/6IiAPIbNsR72TLo1auGIxcRERERcS/fffcdOTk59OnTh7fffptGjRqVf9Lu3TBoEMTHl7Q9+ih14uJ4yGKpuWBFxKUpKSUu4aJQf8ZdU5/Vu46fcVe9YtbERA5edRUdDh4safzb3/BeuNC+jayIiIiIiFQ5m82Gh4cHhmEwd+5cevXqxYgRI/DwOMPimyVLYPhwyMy0Pw4IgDfegFtvrdmgRcTlKSklLiOmcRDtmtav8PiuDz7A/5576FBYWNI4eTI8+yx4elZ/gCIiIiIibiY/P58pU6bw22+/sWTJEgzDICgoiIcffrj8kwsKYOJEmDGjpC0mBpYuhYsuqrmgReSCoaSUuDzTNPnu7rvp/v77+J5uKwwMxGvhQrjuOqfGJiIiIiJSW+3cuZPb7ryL3+J3ADDypXcYPeSmM9eAOnwY7roLfvihpG3IEJg3D+qcpU6siLg1FToXl5aRksJ3rVpxVemEVMeOeP36qxJSIiIiIiLVoKioiH/9619c2qkTv8XvwLtOEL1HTudEQBQzV+9h51Fr2RM++QQ6dChJSFks9h333n1XCSkROSvNlBKXdWj1anIHDuSq/HxHmzlyJF4zZ4KPjxMjExERERG5sO08amVlfDKHT2YTGexPv5hwYpsEcfDgQYYNG8b69esBCI/tyaCxUwkIDsE0TfalZrIqIcU+Wyo3Fx5/HF57reTCzZrB4sXQrZuT3pmIXEiqZabU0aNHGTp0KA0aNMDf358OHTqwZcuW6ngpqa0+/phmgwZx8emEVJGvL7z/PsbrryshJSIiIiLyF+w8amXm6j1s2J9Gek4hG/anMXP1Hnb873duvvlm1q9fT926dbn67/9Hv/EzCAgOAcAwDAJ8LSSmZcGePdC9e9mE1KBB8MsvSkiJSKVVeVLq1KlT9OzZE4vFwldffUVCQgIvv/wy9erVq+qXklooNyMD89FHYdAgjIwMAAqjovDcssW+Rl1ERERERP6SlfHJWHMKaB1al/AgX1qH1sWaU8DqXanMnj2b3r17s337dgYMuovMvEJM0wTstV4zcgsYsG01XHqpPQEF9pvGc+fCRx+Bfu8TkfNQ5cv3XnjhBSIiInjzzTcdbc2bN6/ql5FaaM9335E1cCCdcnJKGu+8E68FC6BuXecFJiIiIiJSixw+mU2ArwXDMPjtx1Xk5WQR1nkAiWlZTLizF2vWrMEwDPp5W0lISmdfaiYBvhYKfrcyfslMev64vORiF19sX67Xvr3z3pCIXLCqfKbUZ599RufOnbntttsIDQ2lY8eOLFiwoKpfRmqZDdOmEXz11Y6ElGmxwOzZsHChElIiIiIiIlUoMtifEydO8OnMJ/jk5cdY/Z84jh0+SPMG9qLkhmEAENskiPF9ounRuiFtUvbz6owHyyak7rsPfv5ZCSkR+dOqfKbUgQMHmDt3LhMmTGDSpEls2rSJRx55BB8fH+65555yz8/LyyMvL8/xOD09HQCbzYbNZqvq8BzXNk2z2q4vlZeTlcXK3r25cetWPE+3FTZpgseSJZhdu4Jp2r+kxujnw7WoP1yL+sO11ER/qK9F5EJTUQHzYqZpwsGNfD1tArnpJzE8PGl99Z2EN2lKn7Zh5a4X2ziQ2GXvwjOPQvEGRHXrwrx5Kq8hIn9ZlSelbDYbnTt3Zvr06QB07NiR+Ph45s6de8akVFxcHFOmTCnXfvz4cXJzc6s6PEeMVqsV0zTx8KiWWu9SCYnbtpF7++3ckpnpaMvt3RvrnDmYwcGQmurE6NyXfj5ci/rDtag/XEtN9EfG6fqGIiIXguIC5tacAgJ8LWzYn0ZCUjrj+0QT2ySIY8eOMWrUKJYtWwZAeLMornjgabp160bftmFlklcAHDtmnw21YkVJ26WX2pfrtW5dg+9MRGqrKk9KNWrUiLZt25Zpa9OmDUuXLj3j85988kkmTJjgeJyenk5ERAQhISEEBgZWdXiAfRBrGAYhISH6pcJJ0r/5hkbXXUdkcdFEw8D27LN4T5pEiPrEqfTz4VrUH65F/eFaaqI/fH19q+W6IiLVoXQBc8MwCAv0YV9qJqsSUmhRz4sOHTqQmpqKl5cXkyZNYtKkSfhUtLP1xx/D3/8OaWklbePHQ1ycdsMWkSpT5Umpnj17snv37jJte/bsoVmzZmd8vo+Pzxn/I/Tw8KjWAb9hGNX+GnIGpglz51Jv/HjqnU5IFQUHY507l3q33qr+cBH6+XAt6g/Xov5wLdXdH+pnEbmQlC5gDvb/IwN8LSSmZVGnTh1GjBjBl19+yRtvvEH7iupApafDI4/A22+XtIWHw5tvQv/+NfAuRMSdVPlIa/z48WzcuJHp06ezb98+Fi5cyPz58xk1alRVv5RcYA5s3076jTfCqFGO9ehm9+4Y27aRf8UVTo5OREREROTCFhnsT0ZuAaZpYtpsbFn+AUf2xjsKmE+ePJmNGzdWnJBav95etLx0QmrQINi5UwkpEakWVZ6U6tKlC8uWLeODDz4gNjaW5557jlmzZjFkyJCqfim5gKx+9VXyO3Yk8PPPSxrHj8dYuxaaNnVeYCIiIiIitUS/mHCC/Cxs27mLt566l9X/jWPb+3H0jgoGwGKx4OV1hsUyeXkwcSJceSUkJtrbAgLsyamPPoIGDWrwXYiIO6ny5XsAAwcOZODAgdVxabnA5Ofn88GNNzJoxQrqnm6z1a2Lx1tv2e+6AGhnIxERERGRvyw6xI+A3V+wZsYLFObn4e3rz98fuJ9LIoMrPik+HoYMgV9/LWm7/HJ45x1o3rzaYxYR91YtSSkRgMQ9e9h0+eUMK7WLnhkbi8fSpRAd7cTIRERERERql3Xr1jFixAh27doFwDXXXMOCBQtoXlFiyWaDV1+1z5DKy7O3WSwwbRo8+ih4etZM4CLi1pSUkmrx9X//S/2HHuK2oqKSxmHDMF5/Hfz9nReYiIiIiEgt891333HVVVcBEBoayowZM7jrrrscBc/L2bsX7r/fXkOqWEwMvP8+XHJJDUQsImKnpJRUOXP5crqMGEHQ6YSU6e2NMWeO/YOvog9GERERERH5U6644gp69uxJbGwscXFx1K9f/8xPLCqCWbNg8mTIzS1pnzABnn8efH1rJF4RkWLa51iqTlERPP00xnXXEVRYCIDZogXGxo3wwANKSImIiIiIVIGEhAQGDx5MZmYmAB4eHqxZs4Z///vfFSekdu2CXr3gscdKElItW8K338LLLyshJSJOoaSUVIk1ixZxIDravga92A03YGzdCh07Oi8wEREREZFaIicnh6eeeooOHTqwaNEippUae3t7e5/5pMJC+Oc/7WPyjRvtbYYBY8fC9u3Qu3f1By4iUgEt35M/ZedRKyvjkzl0PB2PN5/nH998StPig56eMH06/OMfmh0lIiIiIlIFvvzySx555BEOHDgAwPXXX8/IkSPPftKOHTB8OGzZUtIWHQ1vvAE9e1ZjtCIilaOklJy3nUetzFy9h+Sko3SaNZqnjx/FcvqYGR6OsWgRXHmlU2MUEREREakN9uzZw/jx41m+fDkATZs25bXXXuPGG2+suJB5QQHExdlXMRQU2Ns8POy1o6ZOBT+/GopeROTslJSS87YyPpmkjWv4+3+f5ubCAkf7kfZdiVj5KYSHOzE6EREREZHaY+rUqSxfvhyLxcL48eOZPHkyAQEBFZ+wZYt9g6Fffy1pa9vWPjuqW7fqD1hE5DwoKSXnbcesqbz61UKiSrV9ee0wvr5rFDP/kJAqXuZ3+GQ2kcH+9IsJJ7ZJUM0GLCIiIiJygbDZbGRnZ1O3bl0A4uLiyMnJIS4ujujo6IpPTE+376o3Zw7YbPY2T0944gn4v/8DH58aiF5E5PwoKSXn5623mL/6Q4rLKGb7B/DRmGl83qwzPUPLJpuKl/lZcwoI8LWwYX8aCUnpjO8TrcSUiIiIiMgf/Pzzz4wZM4ZmzZqxaNEiACIiIli6dGnFJ5kmLF1qL1yelFTS3q4dvPkmdOpUzVGLiPx52n1PKiXrxAl48EEYPhzvwkIA9kdcxLP/9w6fN+tMkJ+FPm3DypyzMj4Za04BrUPrEh7kS+vQulhzCliVkOKMtyAiIiIi4pJSU1N54IEH6Nq1Kxs3buTLL78kqXSCqSKHDsH118Ntt5UkpPz87LvtbdmihJSIuDzNlJKzstlszHv8cS5/5RViTyejAE4OHc4Xd44nL6OQHg3q0LdtWLnZT4dPZhPga3EUYDQMgwBfC4lpWTX6HkREREREXFFeXh5z5sxh6tSpWK1WAIYOHcoLL7xA48aNKz6xoABmzoQpUyA7u6T92mth9mxo0aKaIy9PZTtE5M9QUkoqdOLECeb268eYrVupV9zo5wfz5hF8992MPcf5kcH+bNifRligD4ZhYJomGbkFtG+qDycRERERcW87d+7khhtu4ODBgwBceumlvPrqq/Ts2fPsJ27YAA89BDt2lLQ1bgyvvAKDBkFFO/JVI5XtEJE/S8v35Iw2rFvHkhYteLpUQsqMjoZNm+Duuyt1jX4x4QT5WdiXmkmyNZd9qZlnXOYnIiLi7p599lkMwyjzFa7dbEVqtZYtW5KVnUtgcAhX//3/uHPauwQ1j634hFOnYMQI6NGjJCFlGDBmDOzaBbfe6pSEFKhsh4j8eZopJWWYpsm8Z54h5rnnGFH6wO23Y/znP3C27Wf/ILZJEOP7RLMqIYXEtCzaNQ064zI/ERERgZiYGL7++mvHY09PTydGIyJVbffu3cyfP5+XXnoJDw8PDpwqoPvIFyGoEfWDAvnp0O/8lpJVfnZRURH897/w1FNw4kRJ+6WXwrx50Llzzb+ZP1DZDhH5s5SUkjI+HjOGm+bMofjerGmxYLz8Mowe/afuvMQ2CVISSkREpBK8vLw0O0qkFkpNTWXKlCnMmzePoqIiLrnkEu655x5WxifjFdqS1qF1MQyDsEAf9qVmsiohpWT8/P338MgjsG1byQXr1oVp02DUKPByjV/nVLZDRP4s1/hfTJzPZoMXXuCWuXMpTj2ZTZtifPQRXHaZU0MTERFxB3v37qVx48b4+PjQrVs3pk+fTsuWLSt8fl5eHnl5eY7H6enpgH2TEpvNVi0x2mw2TNOstuvL+VF/uJY/9kd2djavvPIKL7zwAhkZGQAMHDiQTp06YbPZOJyWRYCPl33sbZoYQICPF4knMrEdPozxxBMYixaVeQ3zjjswX3wRmjYtftGae4Nn0bdtKAlJ6exNySDQ10J6bgH1/L25pk2I0/596ufDtag/XEtN9Edlr62klJszTZOvFi5kwKJFGF984UhI7Wp/Gd9OnskVEW04y8p2ERERqQLdunXjnXfeITo6mpSUFKZNm0aPHj2Ij4+nQYMGZzwnLi6OKVOmlGs/fvw4ubm51RKnzWbDarVimiYeHipN6mzqD9dS3B9FRUW8//77zJo1i+TkZADat2/PM888Q48ePQD77KkGPiYHj2cTaLE5Zheln0znnm2fwv1vYuTkOK5dEBND+nPPUdC9O6cvUOPv72xCvOCeSxuwdv/vHP09j0sa+XFlq3qEeOWR6qRY9fPhWtQfrqUm+qM4GX8uSkq5MavVyvRbbmHEmjWOZJTNMPjo2vtYefMDpJ+wsWX1Hu2aISIiUs0GDBjg+Hu7du3o3r07rVq14u2332bChAlnPOfJJ58scyw9PZ2IiAhCQkIIDAysljhtNvsvzyEhIfqlwgWoP1xLcX80bNiQTz/9lOTkZCIjI3n++ee58847y/XRzV19SEzfx/8y8gn08eLin9Yw+ZM5hBxPcjzHbNAA87nn8HzgAeq7eJ250FC43IXuZuvnw7WoP1xLTfSHr69vpZ6npJSb2HnUysr4ZA6fzCYy2J+IomNsv+c2pp44gc/p5+QE1uNf9/wfWb2vJswwCDXN8uvaRUREpNrVqVOHdu3asXfv3gqf4+Pjg4+PT7l2Dw+Pah3wG4ZR7a8hlaf+cD6bzcbHH3/M3/72NwzDwNPTkxdffJFffvmFBx988Iw/pwDtmtZnfJ9otiz/nstmPcdFO38qOejpCQ8/jDFlCkb9+jX0Tmof/Xy4FvWHa6nu/qjsdfWvwQ3sPGpl5uo9bNifhjW7gKULXifvur8xrVRCissu45/TF3Lg0l7aNUNERMTJ8vLy2LVrF40aNXJ2KCJSAdM0+fLLL+nUqRO33XYbM2bMcBzr1asXo0ePrjAhBUBSErHPPsawETeUTUj97W/wyy/w6qughJSI1HKaKeUGVsYnY80pICLAYM/Mx5i/dX3ZOlFjx8KLLxL43UEytGuGiIhIjXvssce4/vrriYyMJDU1lWnTppGens6wYcOcHZqInMGaNWuYPHkyGzZsACAgIKDyy2bT0+HFF2HGDChVN4pmzextN99cbtfrP6566BcTrpUMIlIrKCnlBg6fzCbA10Lrr95j6tb1BJxuz/X1x/ftN+H22wHoFxNOQlI6+1IzCfC1kJFbQJCfhT5tw5wXvIiIiBv43//+x+DBgzlx4gQhISFcdtllbNy4kWbNmjk7NBEpZe3atUyZMoVvv/0WAD8/P8aMGcPjjz9O/fr1z17UOz8f5s+HKVPgxImS9sBAmDgRxo0DP79ypxWverDmFBDga2HD/jQSktJV91VEagUlpdxA8wAvoufFcd13HznaDjdqwZppr3Pv7f0dbbFNghjfJ5pVCSkkpmXRrmkQfduG6cNORESkmi36w7bvIuKa3nvvPb799lu8vb156KGHmDRpEuHh4cBZtj83TViyBCZNgn37StotFnj4YZg8GRo2rPA1i1c9tA6ti2EYhAX6qO6riNQaSkrVYllZWUx54AGe+HUHDXbFO9rXdu3HovsmMarfJeXOiW0SpA83EREREXF7NpuNzz//nKioKNq2bQvAxIkT8fb25oknniAyMvLcF1m3Dh5/HH76qWz7nXfC889Dy5bnvETxqgfVfRWR2kiFzmuphIQExrVtyz8WLXIkpAotFhY98BRbnnuFUQMvUfJJREREROQPioqKWLx4MR06dOCmm25iypQpjmOtWrVizpw5505I/fIL3HADXHll2YRU796waRN88EGlElIAkcH+ZOQWYJomgKPua/MGdc7znYmIuB7NlKqF3n/nHQ4+8ADzCgpKso7Nm+O1ZAl3durkzNBERERERFxSQUEBCxcuZPr06ezZswewFzCPiorCNE3HTKWz8dq1C+Phh2HZsrIHYmLsxc0HDChXxPxcVPdVRGozJaVqkZycHCb9/e/0f+89hpQ+MHAgvPOOtpQVERERETmD9957j6effppDhw4BUL9+fcaNG8eYMWOoX5kxdEICxrPP0vCjj8q2N2kCzz0H99wDnp5/KjbVfRWR2kxJqVoiNTWVCT16ELd/PxGn20wPD4znn7evY/fQSk0RERERcV07j1pZGZ/M4ZPZRAb70y8mvMYSL6mpqRw6dIjQ0FAeffRRRo4cSUBAwLlP3L0bpk6FDz7AOL28DoDwcHth8wcfBF/fvxyf6r6KSG2lpFRtYJo0XLiQtw4cKOnQsDCMRYvs69ZFRERERFzYzqNWZq7egzWngABfCxv2p5GQlM74PtFVnozZuXMnL7/8MgMGDOD2228H4IEHHsDPz49hw4bh7+9/7ovs22efAfXee1Bq172ihg0xnnwSj5Ejwc+vSuMWEamNlJS6gOXm5kJGBr6jR+Px4Ycl9aOuuAIWLYJGjZwZnoiIiIhIpayMT8aaU0Dr0LoYhkFYoA/7UjNZlZBSJUkp0zT5+uuvefnll1m5ciUA27dv57bbbsMwDAIDAxk5cuS5L7R3L/zzn/D221BUVNLesCG2xx/nxKBBhDRvrlUKIiKVpKTUBerAgQNMHDiQV5OSCLdaSw784x8wfTp4qWtFRERE5MJw+GQ2Ab4WRzFxwzAI8LWQmJb1l66bn5/P4sWL+de//sX27dsB8PDw4JZbbuHRRx+tVPFyALZsgRdegCVLoPQyveBg+/h79Gjw98dMTf1L8YqIuBtlLmpQVa2TX7ZsGV8NGcKbOTk4NoINCoK33oKbbqrCiEVEREREql9ksD8b9qcRFuiDYRiYpklGbgHtm/61WVJDhgxhyZIlAPj7+3P//fczbtw4WrZsee6TTRO++w7i4mD16rLH6tWDRx+FRx6BwEB7W6llfCIiUjlKStWQqlgnn5+fz6QJE2g9Zw7zSx/o0MF+16ZVq+oIXURERESkWvWLCSchKZ19qZkE+FrIyC0gyM9Cn7Zhlb6GaZp8++23xMTEEBZmP++uu+7ihx9+YMyYMTz00EMEBwef+0I2G3z6qX2Z3qZNZY+FhcH48TBihP2msIiI/CVa7FxDSq+TDw/ypXVoXaw5BaxKSKnU+YmJidzetSuD58xhROkDDzwAP/6ohJSIiIiIXLBimwQxvk80PVo3JNDPix6tG1b65q3VauW1116jbdu2XH311cybN89x7IYbbiAxMZEnn3zy3Amp/Hz7yoOYGLjllrIJqZYt4d//hkOH4IknlJASEakimilVQ/7KOvmioiKmd+/Om8eOUb+40dcX5s6Fe++ttphFRERERGpKbJOg8yptsWPHDl5//XXeffddsrLsY+q6detilqr55Onpiaen59kvdPIk/Pe/8NprcORI2WOXXAITJ8Ktt6pmq4hINdD/rDXkT6+TLyzEc/Jk5h07VtLWujUsXQrt21dv0CIiIiIiLsY0Ta699lpWrFjhaGvTpg2jRo3i7rvvJvB0jadz1nNNSIBXX4V33oGcnLIvcsUV9mRU//5Q2WLoIiJy3pSUqiHnu07+6NGjHN60ie6vvAJr15YcGDTIfidHU4ZFRERExA2YpsmWLVvo1KkThmFgGAZNmjTB09OTm266iVGjRtG7d+8yO+lVWM/16tbE/voDvPIKfP11+Re7/np7MqpHjxp8hyIi7ktJqRpSvE5+VUIKiWlZtGsaRN+2YWecorxixQrm3nkn89LTS7ac9fKCF1+EceN0t0ZEREREar3k5GTeeecd3njjDXbv3s3mzZvp3LkzAE8//TRTp06lcePGZzy3dD1XwzCI9Cqg2Wfv0/SpZZB0uOyT69aF4cNhzBiIijprTFW1m7aIiNgpKVWDzrVOvrCwkGefeYaC6dP5GHCsfm/cGD78EHr2rIkwRUREROQ8KFFRdQoKCli+fDlvvPEGX375JUVFRQD4+/uTkJDgSEo1a9bsrNcprucaevQQl61cTKc1n+CTm132Sa1a2RNRw4fD6SV/Z1MVu2mLiEhZ1Z6UiouLY9KkSYwdO5ZZs2ZV98tdsI4dO8aDt93Ggz/8wI2lD1x9NSxcCKGhzgpNRERERCqgREXV2bt3Lz179uT48eOOtu7du3Pfffdxxx13EBAQULkLZWfTf8sqmi9bSJv928sf79MHHnkErr0WPCq/GfkfZ1+FBfqwLzWTVQkp5fpaiUoRkcqp1qTU5s2bmT9/Pu1VkPusvvnmG+Juu435p07RsvSByZPh2WfhXDuGiIiIiIhTnE+iQkqYpsmOHTs4fPgwAwcOBKBly5Z4eXkRGhrKPffcw3333UebNm0qf9Fff4UFC+C99xhgtZY5lGfxYUPPa2nyf08QdVW3PxVzZXfTjk+yMuvrfUpUiohUQrUlpTIzMxkyZAgLFixg2rRp1fUyLuEv3QkxTY5NncoXp07hW9wWHAzvvQcDBlRXyCIiIiJSBSqbqHBnpcfKdfJPkpWwlm+++Jj4+HjCw8P53//+h6enJ56ennz33XeO5FSlZGTABx/Yk1E//1zu8IlmrVl/xQ0cu/EOrrjsIqL+QlKosrtpr4xPUaJSRKSSqi0pNWrUKK677jquueaasyal8vLyyMvLczxOT08HwGazYbPZqiU2m82GaZpVcv2SOyH5BPhY2HDqBAlJ6Yy7pjUxjc/xoZOdjTFqFEPXrXM0mV26YC5eDM2aQTW9f1dTlf0hf536w7WoP1yL+sO11ER/qK/lXCqbqHBXO49aeW7Renb/9A1JW7/m+P6djmPe3t50796dU6dO0bBhQwCio6PPfVHThA0b4I03YNEiyPpDAtDPD+64Ax58kIbdu3NzFW0SVNndtI8oUSkiUmnVkpRatGgRW7duZfPmzed8blxcHFOmTCnXfvz4cXJzc6sjPGw2G1arFdM08TiPdeRnsmzTUY6nZ9Givi+GYRJo8eTgySyWbT5ISPcz7wayYcMGvp03j5cTE7H89pujPWv4cDKeeQZ8fCA19ZyvvTs1m7X7TnHUmk+TIG+ubF2fi0L9/9L7cYaq7A/569QfrkX94VrUH66lJvojIyOjWq4rtUdlExXuxjRNDMNgZXwy21YsZO/XHwBgeHgQEn0pV113C/+ePJJ69epV/qK//Qbvv2+vt3rgQPnjl14KDz4IgwdDUNUnBSu7m3ZEsD8bD5xUolJEpBKqPCl15MgRxo4dy6pVq/D19T3n85988kkmTJjgeJyenk5ERAQhISEEVmIXjD/DZrNhGAYhISF/eRCblpdEg7r++PuXvNcGBR6k5ULoH4qT22w2XnrpJbY99RT/MU0sp9vNOnUw//1v/O66C79Kvm58kpV3th5xzNDanpJLYnoa466pf+4ZWi6mKvtD/jr1h2tRf7gW9YdrqYn+qMxYRtxbZRMVzlbdhbdN02Tz5s0sW7aMZcuWMWvWLPr378/hk9lEdbuGnKO/cdFlfWjTsx+ZHgEE+nlVLiGVlGSfDfX++7B1a/njAQEwZIg9GXXppVX2fipyrt20AfrFhLHrWIYSlSIilVDlSaktW7aQmppKp06dHG1FRUWsW7eO2bNnk5eXh2epwt0+Pj74+PiUu46Hh0e1DvgNw6iS14hsUMc+Zfv0NU3TJCOvkPYR9cpcOy0tjeFDh9J7xQo+LH2BNm0wlizBaNv2vF53VULq6bXqAfa16qYv+1IzWb3rOO2a1v9L78kZqqo/pGqoP1yL+sO1qD9cS3X3h/pZKqMyiYrqsjs1m/d+3cORUzkVJpvOZ4fA80le5efn8/333zsSUUePHnUc++STT+jfvz+Rwf4cbXIxQ557yzFWPpaaefZZQ+np8PHH9kTUmjXlS1p4eMA119iTUYMGQZ065/dNq2YxjS+MRKWIiCuo8qTU1VdfzY4dO8q0DR8+nIsvvpgnnniiTEKqNqjMlO0ff/yRsYMGMSs5mZ6lTx48GObPh7p1z/t1VVRTRERExL3FJ1lZsCGJXJtBgK93hcmmyu4QeD7Jq+TkZKKiosjMzHS01a1blwEDBnDzzTdz7bXXAuexvNFqheXLYelS+PJLOFMZj86d7YmoO++E8PAq+A5WH2cmKkVELiRVnpQKCAggNja2TFudOnVo0KBBufba4FxTtt9++20W3ncfy202QopPslhg1iwYORL+ZOFFFdUUERERcW8r41NIzyukbeP6GB4eFSabKnsz80zJq91H03jtnaXUOb4TwzB4+eWXAQgLCyM0NBR/f38GDhzIzTffzDXXXFNuyetZx8opKfDZZ/ZZUd98AwUF5d9ky5YwdCjcdRdcdFEVfwdFRMTZqm33PXdS4Z0Qm42+mzZxt82GY/J/ZCR89BF07fqXXlNFNUVERETc25GT2dT19jxnsqmyNzMPn8ymro8XaUcPkrj9Jw5s+55DOzdRlG/fKTswMJB//vOfWCz2BNe6deto1KjROZe5lhkrHzoEH74By5bB99/bd9L7o5AQ++55Q4ZAt25/+iauiIi4vhpJSn333Xc18TIuIy0tjQYAQ4fSaMWKkgMDBsC770KDBn/5NS6UopoiIiIiUj0igv05eDzdsdNdRcmms93MLD4X7Mmrl+Me5Nj29WXOD2oYxq03DqR///6YpZJITZo0OXeQNpu9QPny5fDJJ7BtWwVvJgJuvtn+1asXeOneuYiIO9D/9lXINE1mz57NkscfZ1VQED4pKfYDHh4wdSo8+aT971VEa9VFRERE3Fe/mDB+OXSCvamZBPp5VzhzvvTNzEMnMgkpOo530i6mjn+JdevWER8fT4MGDegXE857LS4iZddPhLW+hAYXd6F1x15MHT6Adk3rVT6wlBRYtQpWrLD/eeLEmZ938cVwyy32RFSnTk6dEVXduxOKiMiZKSlVRaxWKw/cfz+hS5eyGvAuLs4YEgIffABXX+3U+ERERESkdolpHMSD3Rvzc3IBh09mVzhz/rfffuOLTz7hp59+4ocffuD48eNljq9bt46bb76Z2CZBvB73NOsfHMvRjAKaNahTuZn4BQXw44+wcqU9EVXRbCiwFysvTkRdfPGffetV6nwKvIuISNVSUqoKbNu2jWGDBvHkwYMMLn2gZ09YvBgqM7VZREREpBbQjJOadVGoP5fHhuLh4UFRURG7du3ivyuWcMUVVxAVFQXATz/9xJNPPuk4x8/Pj549e9K7d2+uvPJKunTp4jjWvU0k3duc40WLimD7dli3Dr79FtasgYyMMz83IACuuQb697eXsoiI+Ktvucr/jVV2d0IREal6Skr9BaZpMn/+fOaOGcPiggLKfH4/+ijExdl32hMRERFxA5pxUnMKCwtJSEjg+++/59ChQ/z8889s3ryZzMxMAGbOnMm4ceMA6NmzJ7fddhvdunXjsssuo0uXLnh7e1f+xfLzYcsWexJq3Tp7gfL09Iqff+ml9iRU//5w2WVVOh6ujn9jld2dUEREqp6SUn/Bl19+ydoRI/gBqFPcGBgIb75pn5YsIiIiUlts3Ypxxx0EtWsHV15p3xWtQwfw9XU8RTNOqseJEyfYvn07ISEhtGvXDoCff/6Z7t27l3tunTp16NKlC+Hh4Y621q1b8+GHH1b+BTMzYfPmkiTUhg2Qk1Px80NCoG9fexKqTx8Iq77doKvj31hldycUEZGqp6TUn5WXx3XLlzOwdFv79rBkCZyeKi0iIiJSWySt+JbG+/bht28fLFtmb7RY4JJL7Amqrl3JPRFAYFBjzTj5k3Jzc1m3bh179uxhz5497N69mx07dnDs2DEARo0axezZswFo164dQUFBREdH07lzZzp27Mhll11G27Zt8fT0rPyL5uTAr7/Czz/bvzZvhl27oNQue+WEhsIVV9i/Lr/cPgauws18zqY6ZjWdbXdCERGpXkpKnafFixczMDaWOvfei/HzzyUHhg+HOXPAz895wYmIiIhUg51HrezbvIdrvbzxLswvOVBQUJLMmDOHp4BMvwCSomI42jqWY82iyKnTmBY9Ojot9r+iqmsXFRYWkpSURGJiInv37mXPnj1ERUVx//33A5CTk0O/fv3OeG6rVq2oX7++43GdOnVIS0vj+PHjhIbaa0qdU14exMfbE0/F/bZzJxQWnv28yEj77LjiRFRUlNN2yquOWU2ldydMTMuqsGC8iIhUPSWlKikrK4tRo0Zx/O23uc7b2762HuxT1ufMgfvuc26AIiIiItVkZXwyG/oOY8PN9/D1sF50A7oC3YA/1sSum5NB9PaNRG/fCMBdgM3b277TWrt29q/YWPufERFOS26cy/nWLrLZbJw4cYIjR47g6elJhw4dAMjPz+eqq67i8OHDJCUlYbPZypzXr18/R1Kqfv369OrVi4YNGxIdHU1UVBQxMTG0a9eOunXrlntNo6LvXV4e7N4NCQn2JFR8vP3v+/bZi5SfjZeXfeZT587Qq5c9CdWsWYXfo5oual9ds5pimwQpCSUi4gRKSlXCrl27uOPWW7k9IYG3oCQh1aqVfbne6UGHiIiISG1UvGQqz5bD75deztKTqfw3NYn87AwCgS7Yk1S3RkTQLi8fS2pKmfM98vPtu7Vt3172wkFBEBODGRVFopcXRqtWeF10Eb4xMQQ0b463j09NvUWHwsJCsrKy+HDtrxw5eJRG/pCbnImvtw/W4NasSkghpnEgd9xxBykpKZw4cYLjx4+TlpbmSDj179+fr776CgBvb2927drFqVOnALBYLDRt2pTWrVsTHR1N165dy7z++vXrKxeozQZJSVi2boXff4e9e88v+QT2JXdt20KXLvYkVOfO9oRUqTphFXFWUXvNahIRqV2UlDqH9957j/976CEWZGdzdekDN91kL2her16Vv6a2UhYRERFX4lgyFRLE9eNfwtfXl33Hs+jUyJfrW3uTmJhIYmIiaVFRWK65Bo4cIe2bb3j1wQdpU1REO+AizjDwtFrhxx8xfvyR5n88BMQbBkcsFnxiYug3ciQ0bUphaCi3jhlDtr8/Xt7eWCyWMl9dunRhzJgxgH2n5DvvvJOioiIKCwvL/dmtWzfi4uIczw0MDHTsXvdHzdtfRu9xr5KYloVhGHz99deORFNp4eHh1PvD+HDx4sUEBQURERFBWFhY5Zba2WyQlgaHD8PBg+W/Dh3CIy+PBue+kp2PD7RpAzExJQmojh2hTp1zn3sGzixqr1lNIiK1h5JSFcjJyWHcuHHEz5/PeqBJ8QFPT3jhBZgwoVqmm2srZREREXE1xUum9qZm4uNhIy+9kHr+3lzfpZU9QRAbW/aEyEgaDB/Os/feS2ZmJikpKWz+3//I2bYNc8cOfPfupbE1kwbJKQQeP3bG1wwCOpomHfPzYds2+PvfAfvg9ROgAEgGjgFJpf703LnTviwwKAijXj1+/ugjTpkmVsD2h9fw8ioZChuGUaZAuIenF54+fvj618HHrw6BIY3L1C565ZVXsFgshISEOL4aNmyIxWIp91769Oljr7+VkQFHjtiTcampkJJS9is5ueTvx4+fu9bTmfj62pNPbdvaE1DFf7ZoYR/HVpHqKDguIiLuR0mpClh//51GCxcyh1LfpEaNYPFi+y4j1URbKYuIiIirKV4ytTI+mT1HT9KpSXClZnIbhkFAQAABAQG0bt0aevcG7Dfhpp2+CRdi5uN/NJGW1hQG1csj/MRRbPv2Ye7bh8eRIxi2P6aS7CxAxOmvMrZtg5tvdjzcX+pQvq8vBf7+9q86dfC0WuGGG8DbG7y9OdqnD55+fljq1OFUoQebkjLJMj2weFsozM/H78sFdI0IhK88ubuw0J40Kiy0L5UrLLSXeMjIsH+lp5f9Mzf3fL/tFfP3h+bNMZs3Jzs8HL+2bfGIirInn5o3r9LkU0Wqo+C4iIi4H7dLSu08amXFzmPsTTpFVOPf6R/bqPyAymolfNQoni09ffuqq2DhQggPr9b4dNdJREREXFFskyDaNgogNTW18ru9VeCPN+HMsGC+Tc0kr3VDJvSJxnHlggJITIT9++HAAUhKgmPHyv55/DiYZqVe1zs3F+/cXDh58ozHSy9kawhc+6ff4V/g5QWhoeQENyTZN4hjgQ0patac5p1jieh0OukUGgqGgWmzkZGail9oqL0+VA2qroLjIiLiXtwqKVWyNC4fb8PGxgNp7DqWwfg+0UQ19OXRRx/l+ogI+i1YYB/8FJs0CaZMsQ8SqpnuOomIiEhtV+mbcBYLtG5t/6pIQYF9KVxxourYMXvSyWq1FwD//fcz/z0np3reXOnYAwMhIMDxZ4bFj11ZkG7xJa9eA1L9g8hvGErfq9rTIrYVhIVB/frsPJZRppxDccJnfNNoYsNcY0yoguMiIlIV3Cop5bgrF1KX3NxcR5HOD775mZWvPkH7LVu4ovQJ9evDu+/CddfVWIy66yQiIiK1XZXehLNYoEkTaNKkZLOYoEpsFpOXZ09M5eef+augoOTvhYX2m5N//PL0LN9WnIQ6w86B81ftZsP+tJIZYqbJvtRMsuo3ZELbaMfzLpRyDio4LiIif5VbJaXOdFfuZPz3zH5jKjNysri/9JM7d4aPPrJPka5BuuskIiIitV113IQ7781ifHzOmDiqTpWdIaZyDiIi4i7cKinluCsX4E1RYQFfv/kap758n7VAh9JPHDkSZs6s8YFKMd11EhERkdqsOm7CXQiziyo7Q0zlHERExF24VVKq+K7cb0dP8v0rY7j8YDxfY99yGLDvZDJ/PgwZ4sQoRURERGq/qr4JdyHMLqrsDDGVcxAREXfhVkmp4rtyq389wk22Iu4tffCii2DpUvtWuiIiIiJyQbkQZhdVdoaYyjmIiIi7cKukFECskUVM3EiMxN9KGu+4AxYssBemFBERERGX4ihgfrLiAuYXyuyiys4QUzkHERFxB26XlCInB3bsAMC0WDBmzIBRo+D0VG8RERERcR2VLWCu2UUiIiIXHvdLSrVqhfnmm9jGjMH46COM7t0rfGpl7sqJiIiISPU5nwLmlZ1dpDGeiIiIa3C/pBTAjTdyvEMHQps1q/Ap572tsIiIiIhUuaouYK4xnoiIiOvwcHYATuPnd9bDpe/KhQf50jq0LtacAlYlpNRQgCIiIiISGexPRm4BpmkCOAqYN29Q509dT2M8ERER1+GeM6Uq4ULYVlhERESktqvqAuYa44mIiLgO950pdQ5VfVdORERERM5fcQHzHq0bEujnRY/WDf/SUjuN8URERFyHZkpV4ELZVlhERESktqtsAfPK0BhPRETEdSgpVQFtKywiIiJS+2iMJyIi4jqUlDqLqrwrJyIiIiKuQWM8ERER16CaUiIiIiIiIiIiUuOUlBIRERERERERkRqnpJSIiIiIi3j99ddp0aIFvr6+dOrUifXr1zs7JBEREZFqo6SUiIiIiAtYvHgx48aN46mnnmLbtm1cfvnlDBgwgMOHDzs7NBEREZFqoaSUiIiIiAuYMWMG999/Pw888ABt2rRh1qxZREREMHfuXGeHJiIiIlIttPueiIiIiJPl5+ezZcsWJk6cWKa9b9++/Pjjj2c8Jy8vj7y8PMfj9PR0AGw2GzabrVritNlsmKZZbdeX86P+cC3qD9ei/nAt6g/XUhP9UdlrKyklIiIi4mQnTpygqKiIsLCwMu1hYWEkJyef8Zy4uDimTJlSrv348ePk5uZWS5w2mw2r1Yppmnh4aMK9s6k/XIv6w7WoP1yL+sO11ER/ZGRkVOp5SkqJiIiIuAjDMMo8Nk2zXFuxJ598kgkTJjgep6enExERQUhICIGBgdUSn81mwzAMQkJC9EuFC1B/uBb1h2tRf7gW9YdrqYn+8PX1rdTzlJQSERERcbKGDRvi6elZblZUampqudlTxXx8fPDx8SnX7uHhUa0DfsMwqv01pPLUH65F/eFa1B+uRf3hWqq7Pyp7Xf1rEBEREXEyb29vOnXqxOrVq8u0r169mh49ejgpKhEREZHqpZlSIiIiIi5gwoQJ3H333XTu3Jnu3bszf/58Dh8+zIgRI5wdmoiIiEi1UFJKRERExAXccccdpKWlMXXqVI4dO0ZsbCzLly+nWbNmzg5NREREpFooKSUiIiLiIh5++GEefvhhZ4chIiIiUiNcLillmiZg30GmuthsNjIyMvD19VWRNReg/nAt6g/Xov5wLeoP11IT/VE8HklPTycgIKDCnfBcgcZQ7kf94VrUH65F/eFa1B+upSbHUMXjk4q4XFIqIyMDgIiICCdHIiIiImIXERGB1WolMDDQ2aFUSGMoERERcTUZGRkEBQVVeNwwz5W2qmE2m42kpKRqvRuZnp5OREQER44ccenBpbtQf7gW9YdrUX+4FvWHa6mJ/jBNk4yMDAICAggMDHTpmVIaQ7kf9YdrUX+4FvWHa1F/uJaaHEM1btz4rLOxXG6mlIeHB02bNq2R1woMDNQPhAtRf7gW9YdrUX+4FvWHa6nu/jjb3T1XojGU+1J/uBb1h2tRf7gW9YdrcYUxlBZzioiIiIiIiIhIjVNSSkREREREREREapxbJqV8fHx45pln8PHxcXYogvrD1ag/XIv6w7WoP1yL+qPm6XvuWtQfrkX94VrUH65F/eFaXKk/XK7QuYiIiIiIiIiI1H5uOVNKREREREREREScS0kpERERERERERGpcUpKiYiIiIiIiIhIjVNSSkREREREREREapxbJqVef/11WrRoga+vL506dWL9+vXODsktxcXF0aVLFwICAggNDeWmm25i9+7dzg5LTouLi8MwDMaNG+fsUNzW0aNHGTp0KA0aNMDf358OHTqwZcsWZ4fllgoLC5k8eTItWrTAz8+Pli1bMnXqVGw2m7NDcwvr1q3j+uuvp3HjxhiGwSeffFLmuGmaPPvsszRu3Bg/Pz969+5NfHy8c4KtxTR+ch0aQ7kujZ9cg8ZQrkNjKOe6EMZQbpeUWrx4MePGjeOpp55i27ZtXH755QwYMIDDhw87OzS3s3btWkaNGsXGjRtZvXo1hYWF9O3bl6ysLGeH5vY2b97M/Pnzad++vbNDcVunTp2iZ8+eWCwWvvrqKxISEnj55ZepV6+es0NzSy+88AL//ve/mT17Nrt27eLFF1/kpZde4rXXXnN2aG4hKyuLSy65hNmzZ5/x+IsvvsiMGTOYPXs2mzdvJjw8nD59+pCRkVHDkdZeGj+5Fo2hXJPGT65BYyjXojGUc10QYyjTzXTt2tUcMWJEmbaLL77YnDhxopMikmKpqakmYK5du9bZobi1jIwMMyoqyly9erV55ZVXmmPHjnV2SG7piSeeMHv16uXsMOS06667zrzvvvvKtN1yyy3m0KFDnRSR+wLMZcuWOR7bbDYzPDzc/Oc//+loy83NNYOCgsx///vfToiwdtL4ybVpDOV8Gj+5Do2hXIvGUK7DVcdQbjVTKj8/ny1bttC3b98y7X379uXHH390UlRSzGq1AhAcHOzkSNzbqFGjuO6667jmmmucHYpb++yzz+jcuTO33XYboaGhdOzYkQULFjg7LLfVq1cvvvnmG/bs2QPAr7/+yvfff8+1117r5Mjk4MGDJCcnl/ls9/Hx4corr9RnexXR+Mn1aQzlfBo/uQ6NoVyLxlCuy1XGUF419kou4MSJExQVFREWFlamPSwsjOTkZCdFJWBfyzphwgR69epFbGyss8NxW4sWLWLr1q1s3rzZ2aG4vQMHDjB37lwmTJjApEmT2LRpE4888gg+Pj7cc889zg7P7TzxxBNYrVYuvvhiPD09KSoq4vnnn2fw4MHODs3tFX9+n+mzPTEx0Rkh1ToaP7k2jaGcT+Mn16IxlGvRGMp1ucoYyq2SUsUMwyjz2DTNcm1Ss0aPHs327dv5/vvvnR2K2zpy5Ahjx45l1apV+Pr6Ojsct2ez2ejcuTPTp08HoGPHjsTHxzN37lwNqJxg8eLFvPfeeyxcuJCYmBh++eUXxo0bR+PGjRk2bJizwxP02V4T9D12TRpDOZfGT65HYyjXojGU63P257tbJaUaNmyIp6dnubt6qamp5bKDUnPGjBnDZ599xrp162jatKmzw3FbW7ZsITU1lU6dOjnaioqKWLduHbNnzyYvLw9PT08nRuheGjVqRNu2bcu0tWnThqVLlzopIvf2j3/8g4kTJ3LnnXcC0K5dOxITE4mLi9OAysnCw8MB+92+Ro0aOdr12V51NH5yXRpDOZ/GT65HYyjXojGU63KVMZRb1ZTy9vamU6dOrF69ukz76tWr6dGjh5Oicl+maTJ69Gg+/vhj1qxZQ4sWLZwdklu7+uqr2bFjB7/88ovjq3PnzgwZMoRffvlFA6oa1rNnz3Lbe+/Zs4dmzZo5KSL3lp2djYdH2Y9MT09PbWfsAlq0aEF4eHiZz/b8/HzWrl2rz/YqovGT69EYynVo/OR6NIZyLRpDuS5XGUO51UwpgAkTJnD33XfTuXNnunfvzvz58zl8+DAjRoxwdmhuZ9SoUSxcuJBPP/2UgIAAxx3YoKAg/Pz8nByd+wkICChXi6JOnTo0aNBANSqcYPz48fTo0YPp06dz++23s2nTJubPn8/8+fOdHZpbuv7663n++eeJjIwkJiaGbdu2MWPGDO677z5nh+YWMjMz2bdvn+PxwYMH+eWXXwgODiYyMpJx48Yxffp0oqKiiIqKYvr06fj7+3PXXXc5MeraReMn16IxlOvQ+Mn1aAzlWjSGcq4LYgxVY/v8uZA5c+aYzZo1M729vc1LL71U2+c6CXDGrzfffNPZoclp2tLYuT7//HMzNjbW9PHxMS+++GJz/vz5zg7JbaWnp5tjx441IyMjTV9fX7Nly5bmU089Zebl5Tk7NLfw7bffnvHzYtiwYaZp2rc0fuaZZ8zw8HDTx8fHvOKKK8wdO3Y4N+haSOMn16ExlGvT+Mn5NIZyHRpDOdeFMIYyTNM0ay4FJiIiIiIiIiIi4mY1pURERERERERExDUoKSUiIiIiIiIiIjVOSSkREREREREREalxSkqJiIiIiIiIiEiNU1JKRERERERERERqnJJSIiIiIiIiIiJS45SUEhERERERERGRGqeklIiIiIiIiIiI1DglpUREREREREREpMYpKSUiIiIiIiIiIjVOSSkREREREREREalxSkqJiIiIiIiIiEiN+3/NEllgEz4M4gAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 1200x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
|
|
" \n",
|
|
"# Pol1\n",
|
|
"ax1.plot(x, y_pol1_noisy, 'o', ms=4, alpha=0.6, label='data')\n",
|
|
"ax1.plot(x, y_pol1, 'k--', label='truth')\n",
|
|
"ax1.plot(x, m1(x, res1['par']), 'r-', lw=2, label='fit')\n",
|
|
"ax1.set_title('Pol1')\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid(alpha=0.3)\n",
|
|
" \n",
|
|
"# Pol2\n",
|
|
"ax2.plot(x, y_pol2_noisy, 'o', ms=4, alpha=0.6, label='data')\n",
|
|
"ax2.plot(x, y_pol2, 'k--', label='truth')\n",
|
|
"ax2.plot(x, m2(x, res2['par']), 'r-', lw=2, label='fit')\n",
|
|
"ax2.set_title('Pol2')\n",
|
|
"ax2.legend()\n",
|
|
"ax2.grid(alpha=0.3)\n",
|
|
" \n",
|
|
"fig.tight_layout()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "e694c18a-a203-4132-a472-c93c4d3ce853",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.12.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|