{ "cells": [ { "cell_type": "markdown", "id": "7cb72e76-1796-4d29-b03c-2f10e9aff435", "metadata": {}, "source": [ "# Semivariogram models\n", "\n", "`Pyinterpolate` has a few theoretical functions that can be fit into experimental semivariances. Those functions are usually pre-defined because we cannot use any mapping. A function must be positive because we are modeling variance. Technically speaking, a function must be positive definite (covariances), and variogram has to be conditionally negative definite (M. Armstrong, Basic Linear Geostatistics, Springer 1998, page 35).\n", "\n", "Theory aside, you will probably use built-in semivariogram models. We will check all those functions in this lesson. Moreover, we will learn:\n", "\n", "- how to create an artificial surface with `scipy`\n", "- which variogram models are available for modeling\n", "- what are the differences between the mapping functions\n" ] }, { "cell_type": "markdown", "id": "32789839-d41a-445b-b306-655089f88b37", "metadata": {}, "source": [ "## Prerequisites\n", "\n", "- **Domain**:\n", " - semivariance and covariance functions\n", "- **Package**:\n", " - installation\n", "- **Programming**:\n", " - Python basics" ] }, { "cell_type": "markdown", "id": "b0790582-f6ce-4d20-b921-0744f752dc1f", "metadata": {}, "source": [ "## Table of contents\n", "\n", "1. Create random surface\n", "2. Calculate the experimental variogram\n", "3. Fit variogram models\n", "4. Compare variogram models" ] }, { "cell_type": "code", "id": "6dfcd9fe-518d-41f0-aadc-8f7533aedc9d", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:35.329277Z", "start_time": "2025-12-21T14:56:31.764877Z" } }, "source": [ "import numpy as np\n", "from scipy.signal import convolve2d\n", "from scipy.sparse import coo_matrix\n", "\n", "from pyinterpolate import build_experimental_variogram, build_theoretical_variogram\n", "\n", "import matplotlib.pyplot as plt" ], "outputs": [], "execution_count": 1 }, { "cell_type": "markdown", "id": "92262590-d01f-4470-bd51-75010f19e11e", "metadata": {}, "source": [ "## Chapter 1: Create random surface" ] }, { "cell_type": "markdown", "id": "d84d8fc3-b720-418e-be8d-2cbd7a99d4fc", "metadata": {}, "source": [ "We create the artificial surface. We choose a simulated area instead of real-world observations because we have more control over variogram parameters. Thus, we will know what is compared when we model semivariogram with different functions. We should limit the number of unknowns in our dataset to a bare minimum. But don't be disappointed! Our surface won't be *boring* because we will generate it from an exciting function named [logistic_map](https://en.wikipedia.org/wiki/Logistic_map). It is the polynomial mapping that, for some parameters, presents chaotic behavior.\n", "\n", "**Logistic map** is a recurrent relation of the form:\n", "\n", "$$x_{n+1} = rx_{n}(1-x_{n}),$$\n", "\n", "Where:\n", "- $x$: is a mapped value at a step $n$ or $n+1$. Its state depends only on the previous step and initial set of parameters, $x \\in [0, 1]$.\n", "- $r$: is a special parameter, and its value leads to the different behavior of a system. For us, the most important is a set of possible $r$ values within limits $[3.5, 4]$ where the system has chaotic behavior [more](https://en.wikipedia.org/wiki/Logistic_map#Behavior_dependent_on_r).\n", "\n", "We will use the `generate_logistic_map` function that takes three parameters:\n", "\n", "- `r`: the same as $r$ from the **logistic map** system, we set it to **3.9**.\n", "- `size`: the length of a generated sequence. It should be reasonably large to create a surface. We set it to **10k**.\n", "- `initial_ratio`: initial `x` value between 0 and 1. We set it to **0.33**." ] }, { "cell_type": "code", "id": "61b3c30e-f1b2-4f2d-aaae-a6806185adda", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:35.505954Z", "start_time": "2025-12-21T14:56:35.501036Z" } }, "source": [ "# Create logistic map\n", "\n", "def generate_logistic_map(r: float, size: int, initial_ratio: float) -> np.ndarray:\n", " # rxn(1-xn)\n", " vals = [initial_ratio]\n", " for _ in range(size-1):\n", " new_val = r * vals[-1] * (1 - vals[-1])\n", " vals.append(new_val)\n", " return np.array(vals)" ], "outputs": [], "execution_count": 2 }, { "cell_type": "code", "id": "2303386c-2a55-41c7-9fb5-144e743f45e6", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:35.542936Z", "start_time": "2025-12-21T14:56:35.536667Z" } }, "source": [ "values = generate_logistic_map(3.9, 10000, 0.33)" ], "outputs": [], "execution_count": 3 }, { "cell_type": "code", "id": "b42b9099-8ee9-4fdd-8d18-2003f492411c", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:35.788222Z", "start_time": "2025-12-21T14:56:35.580504Z" } }, "source": [ "# At this point, our data is a 1-dimensional array and we can represent it as a signal\n", "\n", "plt.figure(figsize=(18, 8))\n", "plt.plot(values[0:200])\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "cell_type": "markdown", "id": "526eb064-15a5-4e8c-8255-d622b4b42391", "metadata": {}, "source": [ "Let's reshape this signal into **2-D matrix**. This way, we create baseline surface for experiments." ] }, { "cell_type": "code", "id": "3e86b2ca-ffd7-49e7-8a83-16842993e88a", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:35.858920Z", "start_time": "2025-12-21T14:56:35.855291Z" } }, "source": [ "surface = np.reshape(values, (100, 100))" ], "outputs": [], "execution_count": 5 }, { "cell_type": "code", "id": "db00574b-f3b1-475f-aad3-394d563421a3", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:36.142212Z", "start_time": "2025-12-21T14:56:35.901562Z" } }, "source": [ "plt.figure(figsize=(10, 10))\n", "plt.imshow(surface, cmap='cividis')\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 6 }, { "cell_type": "markdown", "id": "ff651f33-7c46-420d-8d2d-d9e72ea1c923", "metadata": {}, "source": [ "The spatial correlation of this structure is very weak. We can change it with a simple blur filter. Its size will be close to the **range** parameter! Blur filter averages pixel values within its range. In other words, it areas with correlated values. I set the filter size to seven (7) units, but you can set it smaller or larger for your experiments. You can apply it multiple times to get smoother areas, where values will be even more similar within the filter range." ] }, { "cell_type": "code", "id": "a6919e42-7c39-49ce-a0a3-2f6e60070c95", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:36.234100Z", "start_time": "2025-12-21T14:56:36.228778Z" } }, "source": [ "# Slightly blur image with simple mean filter\n", "\n", "mean_filter = np.ones(shape=(7, 7))\n", "\n", "surf_blurred = convolve2d(surface, mean_filter, boundary='wrap')" ], "outputs": [], "execution_count": 7 }, { "cell_type": "code", "id": "36e911d6-1b9a-42e8-9805-b505f2eba475", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:36.490978Z", "start_time": "2025-12-21T14:56:36.288972Z" } }, "source": [ "# And here we are! We have our artificial surface for testing purposes!\n", "\n", "plt.figure(figsize=(10, 10))\n", "plt.imshow(surf_blurred, cmap='cividis')\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 8 }, { "cell_type": "markdown", "id": "2ae16b05-e589-4378-9bc0-49eea1955d1e", "metadata": {}, "source": [ "## Chapter 2: Calculate the experimental semivariogram\n", "\n", "We must create the experimental variogram before we start comparing theoretical models. Our two-dimensional surface must be transformed into an array:\n", "\n", "```\n", "[\n", " [coordinate x1, coordinate y1, value1],\n", " [coordinate x2, coordinate y2, value2],\n", " [...],\n", "]\n", "```\n", "\n", "The path to transform a 2D surface into pixel coordinates has two steps. In the first step, we use `scipy` to make a sparse representation of the surface, and in the second step, we use `numpy` to transform the sparse representation into an array." ] }, { "cell_type": "code", "id": "bff02585-3196-4b19-977f-597f024b08bc", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:36.660034Z", "start_time": "2025-12-21T14:56:36.655450Z" } }, "source": [ "# Transform data into x, y, val array\n", "\n", "sparse_data = coo_matrix(surf_blurred)" ], "outputs": [], "execution_count": 9 }, { "cell_type": "code", "id": "e78b927f-c18d-475a-a4ef-4ba51829adfa", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:36.708613Z", "start_time": "2025-12-21T14:56:36.705249Z" } }, "source": [ "# data, col, row == value, x, y\n", "\n", "xyval = np.asarray([sparse_data.col, sparse_data.row, sparse_data.data]).T" ], "outputs": [], "execution_count": 10 }, { "cell_type": "markdown", "id": "331bea1b-b797-47ce-9e22-10614b64013c", "metadata": {}, "source": [ "We know the data - the effective range of correlation is set to seven units, because we set the mean filter to this size. \n", "\n", "With this knowledge, we will set `step_size` into 2 units and `max_range` into 20 (way above the actual maximum range, which is 7, but we show in this way how variograms behave at a large distance where there is no spatial correlation)." ] }, { "cell_type": "code", "id": "a7f7fb90-7ed8-4c37-9e8d-29ac86ad1d61", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:45.469981Z", "start_time": "2025-12-21T14:56:36.743423Z" } }, "source": [ "# Get experimental variogram\n", "\n", "experimental = build_experimental_variogram(values=xyval[:, -1],\n", " geometries=xyval[:, :-1],\n", " step_size=2,\n", " max_range=20)" ], "outputs": [], "execution_count": 11 }, { "cell_type": "code", "id": "b1cffc47-a5db-4b7d-99db-2a6c88786ab0", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:45.659152Z", "start_time": "2025-12-21T14:56:45.524665Z" } }, "source": [ "experimental.plot(covariance=False, variance=False)" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 12 }, { "cell_type": "markdown", "id": "1bb3cdc6-1014-4096-a737-428b6dd7dd85", "metadata": {}, "source": [ "After examining the plot, we can set the theoretical variogram parameters.\n", "\n", "- **nugget** to `0`,\n", "- **sill** to `1.3`,\n", "- **range** to `8`.\n", "\n", "We can create the theoretical variogram from scratch without calling the `build_theoretical_variogram()` function or the `TheoreticalVariogram` class. Those three parameters are all that we need for modeling." ] }, { "cell_type": "code", "id": "d425b5d3-cfe6-4796-9c3b-40e39c43ddb0", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:45.721156Z", "start_time": "2025-12-21T14:56:45.717308Z" } }, "source": [ "# Set nugget, sill and range\n", "\n", "_nugget = 0\n", "_sill = 1.3\n", "_range = 7" ], "outputs": [], "execution_count": 13 }, { "cell_type": "markdown", "id": "aff88b16-ccd4-40b8-9ced-9b38dc16b644", "metadata": {}, "source": [ "## Chapter 3: Fit variogram models\n", "\n", "We have seven theoretical functions to model the experimental semivariances:\n", "\n", "- circular\n", "- cubic\n", "- exponential\n", "- gaussian\n", "- linear\n", "- power\n", "- spherical" ] }, { "cell_type": "code", "id": "c7638281-61b1-421a-bed7-899c2510dfd7", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:45.769090Z", "start_time": "2025-12-21T14:56:45.762741Z" } }, "source": [ "# Crete different models: circular, cubic, exponential, gaussian, linear, power, spherical\n", "\n", "circular = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='circular',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)\n", "\n", "cubic = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='cubic',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)\n", "\n", "exponential = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='exponential',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)\n", "\n", "gaussian = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='gaussian',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)\n", "\n", "linear = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='linear',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)\n", "\n", "power = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='power',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)\n", "\n", "spherical = build_theoretical_variogram(\n", " experimental_variogram=experimental,\n", " models_group='spherical',\n", " nugget=_nugget,\n", " sill=_sill,\n", " rang=_range)" ], "outputs": [], "execution_count": 14 }, { "cell_type": "markdown", "id": "4d249898-f66a-4601-b01b-cc4d44b89015", "metadata": {}, "source": [ "With all models calculated, let's take a look at their output. Before we jump into the last step, which model works optimally with the experimental variogram? (It is tricky question!)" ] }, { "cell_type": "code", "id": "d52f4e78-2c2e-4110-95ea-c0c77450fa86", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:45.953523Z", "start_time": "2025-12-21T14:56:45.830009Z" } }, "source": [ "# Circular\n", "\n", "circular.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 15 }, { "cell_type": "code", "id": "3bfe9935-6101-4586-8648-1ce217b91362", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:46.118915Z", "start_time": "2025-12-21T14:56:46.003567Z" } }, "source": [ "# Cubic\n", "\n", "cubic.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 16 }, { "cell_type": "code", "id": "128dad7a-2499-471f-9100-550c869ed7b5", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:46.296041Z", "start_time": "2025-12-21T14:56:46.163889Z" } }, "source": [ "# exponential\n", "\n", "exponential.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 17 }, { "cell_type": "code", "id": "f8743b52-08a1-48d1-b771-f3562e6e124f", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:46.477670Z", "start_time": "2025-12-21T14:56:46.362256Z" } }, "source": [ "# Gaussian\n", "\n", "gaussian.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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YDz/8MOoSAAAJhJmOkwuNBMmB9ymxcSEFiSC5UiQAAKgyzHScfJKxkSAd8T4lNi6kJMewhMXbGJOezMMSGJMOAAAAAKVcSCm8EdATR5AG8zsQ0gEAAAAASaNuik/WTT8bAACQtl0KASDd+BW4XVd+fws33c+uIxPE2nDtmhWSW4O85DmF91t0kMnMip27ZI7skrmbzrGhVOC+FvivZvd9ZWrVjZ07e4rszMlFntN9zY9vm55HyTRoGjt32kSFk94v8f031ZBzyGkpOyyBkA4AAErFTMcA0pV1QXNDrpS3flNIlGTqNd50ztK50vq1xYOmLXJuh26bzv35G9mVv5YeehUq2HdI/Nxw0ofSwpmbnisskC0SaoOjzpfZOKdB+NlI2RmTiz/fxnDsHh+cepNMjZqxc8f8R3byh+6HK/VnDs66Q6rTIFbvl2/KTnx3i69PcNrNUmGY/ukr2S9e3+K5ps1uUmFIXzhTdsI7Wz6384Gbnnf1b9LsKVs8V7nrUnZ+h9T7iQAAQIVhpmMAycQW5Ev5G2Syam7aN/tH2bUrpA3rpNz1sa/+tl7KrKHgoBPj5xa8dGcsILtjJdXMUcbZ98Q3XejVvGmlF5KZpYwiIT2c9IH0y3dbrrvXYJmNFzzt7B+kaRO2/EO6MF4YTF3wXzxrK+fml/hGduvPW8j9ba+ZI5lAcq3rQbWNX90tI/a1UP0mUpvdixzLiLXIb7yvrFrxU03TdtLeh256jsJzCrfrNtp0rnvOw86SyciQTIbkvxZ5TMMWSlWE9DThllfr06ePfvvtN9WrV0/Jwv2xGjFihAYNGlQhz9e2bVtdfPHF/haVX375RTvuuKO+/vprdenSpUyPOfDAA/259957b6XXBwAlMdMxgKrgu1iXCNLWheXcdVL1LAW77xc/N3znKdnli0ucv14qyJMaNFPGaTdtOveD56Rf55X+TWvVk4qEdOXnFQ/o7u9cYSjMrF7soabODrL1VxYPmYVhslpm8XNb7hwLvpuF0433fU+l2N/UoGMP2SZtNp1jSjt/4/N2O0Rml32KP6c7P6MwIG+6WGH2HSzT44jNn8vXHcQvEvgaeh0luVsZBLv1ktytDEzrjv5WpnMbNI13fU83hPQUUPQXqjTXXXedD3mJ7Prrr9fIkSP1zTffFNu/YMEC1a9fv0rruOGGG9S/f3+99dZbxY7dcccd+utf/6revXuzpjyAtJOqXQoBbD/fBdt1By8M0i4oZ1STadI2fk44/o3Y2GZ3jgvdRQN1vcbKOPK8Tec+e6PkujiXZofmUpGQbhf8LP06v/RzXS1FmGbtZGvW8SHZZGVL1WtsvGVL2bWLnRv0PyN2x5+XHft5tvBZOzj8rG2/SIXn7jOgzOe6bvJlvQRqGrWS3K0s59bY1KKNxMb/bVOAC7KFXnjhBV177bWaOnVqfF/t2rX11VdfRVLbhg0bVL168auO5dG0adVfPWvWrJk++OADzZ07Vy1btozvf+KJJ9S6desqrwcAAKDCu4QX5Mu4oFq4b8YkWR+0i3QHLwzU9Ror+MPA+LkFT14dC9N5uZs/ebOdlHHCVZue95v3txy83Zjrolyrrwv9LhwXhmgfrGtIOQ2LnerGcNuCPJmi57rzCreLnnvIaWV+bYzrug1EjCXYUoALsoW3unXr+qt9Rfe5kF5owoQJ2nvvvVWzZk316tWrWJh3Xn31VXXt2lU1atRQu3btfKtyfv6msSyzZ8/WUUcd5Z8zJydHxx13nBYtWlSsJdp1y3788cd9l273PM7y5ct15plnqlGjRv5xBx10kCZNmuSPPfXUU/77uG1Xu7u5fY6771rYC7ngfMIJJ6hBgwaqVauW/1m++OILf+znn3/2tTVp0sTX1717d7333nvlfj0bN26sQw45RE8//XR832effaalS5dqwIDiV0HDMNTf//53H+azsrL8z16yBX78+PHaa6+9/Gvh6nXd3Ev67rvvdNhhh/m6Xf2nnHKK/34AAABFZ+W2q5fLLlsYm4Br9g+xGbC//1Th12P8/aLnFoy8XwUv3KaCf1+vgn9dqYJ/XqyC+/6s0N1ef7jYc4ejH5F98zHZMf+W/fgl2S9Gy34zRvaHz2RLjqV24bxoQHddpl2LtBtPXLv4sEqz5/4yex8a62rd50SZ/mcoGHiugqMvVXBY8ZboYNgNyjjvQWWcdYcyTr3Rh/2Moy9RcMQ5Cg44tvjztt9LwS77yOy4p4ybabxRS5mchr612LDiBJIcLellZEu7UljIjeEoMu5kq+fKyBQZz7KlcwuXNKhoV199te666y4fls8++2ydccYZ+vTTT/2xjz/+WMOGDdP999+v/fff34feP/3pT/Eu8y6QFgb0sWPH+vB+3nnnaejQocW6f0+fPl0vv/yyXnnlFWW48TCSjj32WGVnZ+vNN9/0FxIeeeQR9e3bVz/99JN/vAupLtwWhmp3TkmrV6/2Xc1btGihUaNG+QsQEydO9HUVHj/88MN18803+8D8zDPPaODAgf5CRHlbwN3r4rq2u9ersBX9pJNO2uy8++67z7+e7udxQdydd+SRR+r7779Xhw4dfE1HHHGEDj74YP3nP//RzJkzddFFFxV7DncBw120cBcx7rnnHq1bt06XX365vwDy/vvvl6tuAACQ2PwY6/w8Gdf92m3n58l++cbG7uIlu4Svk2m166aJzcIChY9euuXn3nFPZXTo6u/7Ltpzfiy9tdtxz19Ui51jk4y5luui3cHd17olWrGPHh6buGzj8aKfg0sKepZtXHO8ZgCE9LIKHzh3ywfdH8TBmyYiC/95sZ9VslQtd1HGcX/ddO7jf5XWrd7stIzh/1JlcAHWBV3niiuu8C3D69ev9628rjXb7Tv11FP9cdeSfuONN/qw6kL6mDFj9O233/qg2apVbOyLC8K77767vvzyS99yXdjF3e13FwKcTz75xLcmL1682Idn58477/Qt5C+99JK/EOCCf7Vq1bbavf25557TkiVL/PdyLelO+/bt48c7d+7sb4Vc7W7SORfozz///HK9Ti5Yu4sYH330kbp166YXX3zR/xwuhBflfg4XqI8//ni/fdttt/mu8m6Ct4ceesjX7C4i/Otf//KvsXutXG+Ac845J/4cDz74oA/4t9xyS3yf+z7uNXYXMXbeeedy1Q4AABJgrPayBdLyRbK/LZZ+Wxib5Oy3RdKa5bF1owvHPhsjO27Ulp+rSDdvv+yWa8hxLcXxLt4bg7K737h4o4Tpe0psTLU7Nz4WO7vULuEZQ8o+qa5x48MBVBpCeprp1KlTsbHXjgvPrqXZdTd3reouyBcqKCjwIX7t2rWaMmWKD46FAd3Zbbfd/Gzx7lhhSG/Tpk08oDvueV2L8g477FCsFtdi7Frry8pNKufCbGFAL8l9D9fdfvTo0X6cvmvpd9/DddEvr8zMTJ188sl68sknNWPGDB+Ui752zsqVKzV//nztu+++xfa77cKu/O51cY8r7Pbv9OzZs9j57lwX7IsOSyjkXh9COgAACTque+VSH7x9AM+uo2DXP8QOFuQrfObaLT92zcpiwdt06RubOTw+vnpj6HZjrN3s40UE5z9U5hbnYLfinzkAJAdCehkFF/zflg+6ZQ6KnnvO1pbJKv5HNTjzdlUlFz7jlWz8A1+0u7hrTR8yZMhmjysaMrfFjRUvyj2vuyBQ2ozo5VkOznWX35rLLrtM7777rm/ddi3s7vxjjjnGt+xvD9flvUePHr4rvrtfWdzr47rlu1b4kgovpACpLrSW5b0AJBw3rju+drUNZT98Qda1hi9fJK1YWnziM9ddfGNI90MbG7aMtWLXayLVbyzVbypTz31tstks20XX6d4WuoQDqY+QXkblGSNeWedWNjdhnBu/XbQLeVG77rqr5syZ42+Frek//PCDH1PtWtS39rwLFy703dndOuWlcTPAu1b7rXEt0m5CumXLlpXamu56AZx22mkaPHhwPPy6Ncm3l+ua7m6TJ0/WiSdu/j9PNwFe8+bN/fctHEJQWMc+++wTf83+/e9/x4cUOJ9//vlmr48bw+9eG/caAelmxYZ1unvyGC1ct6llqWl2joZ36uvX5waAyg7ifvbx3xbLuvBdtGt6zg7KGHKJP8+YQOFPX/nu6nHVqvvQ7WY/N013LPa8GcNuqOofBUCKIBEgzi3d5sZiu67vrgU6CALfFdu1JN90003q16+f9txzTz+Bmhtz7bqTn3vuuT6gulnLt8Q9znXxHjRokG6//Xbffdt1E3fd0l2gdo91AdWNdXdd2t1M6XXq1ImPXy/kZnV347bd89x6662+ldnNlO6Csnt+N1Gbm6zOtUq7q8zXXHNNvJfA9nITt+Xl5W2xxf8vf/mLH6+/0047+ZndXfd49zM8++yz/rgL927yubPOOktXXnmlv2jgWvqLcpPvPfbYY/7nc+P/3QUIN/ne888/7y9KFE6+B6RqQL9z0ntaur743ByL163y+y/r3I+gDqBigrhbq9sF77xcmbZ7xI+FT1wprVhS+gPdRG5FmD8cEZsw2AfzJn4mc1q2AVQ0Qjri+vfvr9dff90vKea6Xruu8R07dvSzjjvuf0JuibYLLrhABxxwgA/xhx56qB544IGtPq973BtvvOHD6umnn+4nf3MTxLnncMuNOUcffbQP2H369PEt8y7sulbxkq3t77zzji699FI/i7u7SOBa8N0Ebc7dd9/tu6W7peUaNmzoJ3Rz48Z/j5Jd90u68MILtWLFCl+TG9vv6nET1bkLBo4bZ/7aa6/5SejceHp33L227uctVNga7+p1S7/l5ub6cf3utXWvMZDKXdxdC7oL6KFs8WOyfr87fl23AXR9B1Aubikyu2R2kdbxRZtmM3et40WHG7olw1b+GpvBvF6TWAB3XdJ91/TiE9oGnftU8U8CIB0Z6y8tpg8X2tzyXi5Yue7KRbkuya41t+j63gBSB7/jiSW3IF8XfvbiNs+7v9dxynIzGgNA4RJmhbOmbwzgbknbjIGbVuIp+O8t0oKSk9MaKaeBVL+ZgiEX+e7r/vnWrpSyasZmTgeACHJoSfw1AgAAQEJxa4dr1bJYq/ZG4Zh/y07/WlqzYvMHuGXMCvLjQdvs1EVyy4T5FvEmm8aNl7Ket6m59Q/LAFDVCOkAAACIhHUzpP86Lz5juv/qbqt+k4JAwYX/lHFrgju56zcF9OzaxWZL9+PDi3QODfY5PKKfCAB+P0I6ACASbpk1N4u7mySu5Jh0J5BR4+w6/jwAycm6CVzdeO/CAL58sUzvoTIb51yxn7wsO3V86Q92y5i5UF4ntqKL2ecwma79YuPGa9Ssyh8DAKoUIR0AEAk3GZxbZq1wdveiQd0F9IY1avvjTBoHJDa3frgb7104y3n4wzjZaV/FWsTdrOkF+cXON10Pjk3S5jRqJS1bsGm29PqNZdxkbe5+du1iM6cbt+44AKQBQjoAIDJueTW3zFrJddJdCzrrpAOJw88z7CZYW7443iU9Pmv68sUKTr853uLtQrd+/mbTg904cdctvd7GAF6kd4zvlk7XdAAohpBeijSb8B5IG/xuJyYXxN0ya3lhQXyf6+JOCzpQ9ez6NbEA/tsimXad493K7WcjZb94fcsPdGG9sFu6m7TNrR9e2Dpep0G8ezsAYNsI6UW4dcGdtWvXKjub1hsg1bjf7aK/60gcLpCzzBpQteySObKuxdu3ji/0a4pr/er4cXPsX6VWu8Q2choWWcJs04zp8ZnTc3bY9Lhm7fwNALB9+ERUREZGhurVq6fFixf77Zo1axYbCwUgeVvQXUB3v9vud9z9rgNAKrN5G6QVi33w9gF8Yzf1oPdxMk13jJ2zYIZvId9MrXqx4F10PHjHHjK7/qHUJcwAABWLkF5C06ZN/dfCoA4gdbiAXvg7DgCpyM6YpPDjl6RfF7itzY8vnRcP6aZJW2n3fWOzpdd3S5m5Cdsay2RmbfY442ZaBwBUCUJ6Ca7lvFmzZmrcuLHy8vKiLgdABXFd3GlBB5Bys6ovmBGbBd0FbCezhvTr/Nj9rJobA3hs1nR/v0WH+ONNkzYy/c+IqHoAwJYQ0rfAfZjnAz0AAEi4dcfn/SQ7bYLs9K+l1b/JdDlI5qCTYie06CBz+J9kWu8qZddh2B4AJCFCOgAAQKK3mM/6QXbaRNnpE6V1qzYdrF6j2JJmbhZ1N34cAJC8COkAAAAJGMyNKVy2zCh892lp1bLYZlZNmfZ7yXToJrXejcncACDFENIBAAASgN2wXvrl21hX9gUzFZx+s0xGNd9l3ex5QKxruwvmLXfx+wEAqYm/8AAAABGxuWtlf57kg7l++U4qKDJp7bxpkhtbLin4w8DoigQAVClCOgAAQATC7z+RffcZKSzYtLNuI99a7lvMm7aNsjwAQEQKBztF4qOPPtLAgQPVvHlz35Vr5MiRWz3/lVde0cEHH6xGjRopJydHPXv21Ntvv11l9QIAAGwPu2aFwkkfyM6fHt9nGraKBfQGzWR6HKHg5OsUnHGrggOOlWnWrsiYdABAOom0JX3NmjXq3LmzzjjjDA0ZMqRMod6F9FtuuUX16tXTk08+6UP+F198ob322qtKagYAACgLu/JXPxu778o+z4VzK+3WS6Z5+9gJjVsrOO0mmQbNoi4VAJBAjLXWKgG4lvQRI0Zo0KBB5Xrc7rvvrqFDh+raa68t0/krV65U3bp1tWLFCt8aDwAAUJHrmNuv3ooF80W/FD/YtJ3M7r0UdO4TVXkAgIiUJ4cm9Zj0MAy1atUqNWjQYIvn5Obm+lvRFwcAAKAi+LYON+t6nQbxdcrDKeOkX+f7pdPUosPGMeZd4+cAAJCyIf3OO+/U6tWrddxxx23xnFtvvVU33HBDldYFAABSPJgvnhVbKs21mK/6TcE598pkZvnjpvvhUn6uzE57ydSqG3W5AIAkk7Qh/bnnnvPh+9VXX1Xjxo23eN6VV16p4cOHF2tJb9WqVRVVCQAAUoG1obRgxsZgPlFauXTTQbdm+eLZvtXcCXbrGV2hAICkl5Qh/fnnn9eZZ56p//3vf+rXr99Wz83KyvI3AACA7WW/HiP74fObdlSrLu24Z6wr+46dZLKyoywPAJBCki6k//e///WzwbugPmDAgKjLAQAAKcQW5Euzp/gWcx++O3T1+919+9mrMu3cvm5S2z3i3dsBAEiZkO7Gk0+fvmm90JkzZ+qbb77xE8G1bt3ad1WfN2+ennnmmXgX91NPPVX33XefevTooYULF/r92dnZfqY8AACA8rJ5G6RZ38e6ss+YJOWuje1ft1oZhSG9fpPYuHPXtR0AgFRdgu3DDz9Unz6bL0PigvhTTz2l0047Tb/88os/zznwwAM1duzYLZ5fFizBBgAA4sulvfm47IxvpLxNK8GoZo5M+64yu3SXadUxyhIBACmiPDk0YdZJryqEdAAA0pNdv1ZaNFOmze7xfQX/vUVa8LNUp0EsmLuu7M3b+6XUAACoKGmzTjoAAMDW2HWrZKd/HVsqbfYUvy/4890y2bVj9/c/WsrIlJruKGNMxNUCAEBIBwAAKcauWbFpDfO5U936aZsO7tBcWvWrtDGkm5a7RFcoAAClIKQDAICk50bvFbaE2+kTZd9/dtPBxq1jS6W5W4Nm0RUJAEAZENIBAEBSsr8tireYmz32k+kcm4zWjS23P4zzy6eZ9t1k6jWKulQAAMqMkA4AAJKCn+v213kbg/lEaencTceysqXCkF6rrjJOuCrCSgEA2H6EdAAAkPBsWKDw3zf4kB4XZEitOsa6sbffK8ryAACoMIR0AACQUKwNpQUzZBfOVND1YL/PuEBeu760fJHUZvdYMG/XOT5LOwAAqYKQDgAAEqKlXHN/inVlnz5RWrMitt+F8ToN/P2g78lSzdoy1bMjrhYAgMpDSAcAAJGxi36RnfSh7M9fS+tWbzpQPdu3lCs/L76LCeAAAOmAkA4AAKqMzdsg2YJ4a7hdtlD2u49jB2vUktlpL9+VXa13lamWGW2xAABEgJAOAAAqld2wXnbmt5Lryj5zskyPI2T2OdwfM+06SZ0PjAXzlrvExp4DAJDGCOkAAKDC2fVrZGdM8mPM9ct3UkH+pmPzp8fvm6yaMn1PiahKAAASDyEdAABUKFuQr/BfV0i5azftrNc4NiO7azFv0jbK8gAASGiEdAAAsN3s6t9kp02UFs9S0P8Mv89kVJNps5vsr/M3BfOGLWWMibpcAAASHiEdAACUi12xVHb6hFg4L9J13e59qMwOzf190/+PCjKrR1glAADJiZAOAADKxP70lcIv35AWzSp+oNlOsdby7DrxXYaADgDAdiGkAwCAMrKxgO66rbfYOdaVvX1XmTr1oy4MAICUQUgHAAClsutWSb8ukGm5c2xHh71lDj1Tpu3uMjVzoi4PAICUREgHAADF2DCUnfyh7KcjJBMoOP1mmezafuI3s1vPqMsDACClEdIBAECcnTdN4fvPSkvmxHY0bCm5FvXs2lGXBgBAWiCkAwAA2dXLZT9+SXbKuNiOrJoy+w6W6dRbJsiIujwAANIGIR0AgDRn161W+PTfpNx1bl52mT32k9nvaJmam2ZrBwAAVYOQDgBAmvPjzTvsLbtkroKDTpRp1i7qkgAASFuEdAAA0oxdtUz2o5dkeh0lU7+J32f6nCBTLVPGBFGXBwBAWiOkAwCQJmx+nuyEd2S/eF3K3yCbt14Zgy70x0xmVtTlAQAAQjoAAOnBzpis8MP/SssXx3a06KBg38FRlwUAAEogpAMAkMLs8sUKP3xemjEptqNWXZkDjpPp2MOvew4AABILIR0AgBRmp34ZC+hBhsxe/WR6DpSpnh11WQAAYAsI6QAApBBrrbR+jZ+x3THdDpGWL5LZ+1CZHZpHXR4AANgGQjoAACnCLlug8IPnpDUrFZx8rYxrPXcztvc/I+rSAABAGRHSAQBIcnbDOtnPX5ed+K4UFkgZ1aSFv0jNd4q6NAAAUE6EdAAAkrhru/3xC9mPXpTWrIjtbNdZwYHHy9RrHHV5AABgOxDSAQBIQnb9GoWvPiDNmxbbUbexgj7Hy7TrHHVpAADgdyCkAwCQjLJqxr5Wqy7T4wg/QZwbfw4AAJIbIR0AgCRgbSj7wziZ9l1lsrL9GufBIaf78ecmZ4eoywMAABWEkA4AQIKzC2cqfP9ZaeFMackcmQOP9/tN/SZRlwYAACoYIR0AgARl166S/eRl2e8+cVtS9RoSreYAAKQ0QjoAAAnGhgWyk8fKfjpCyl3r95lde8rsf4xM7XpRlwcAACoRIR1ASgutVZ5bN3qjzCBDgTGR1gRsix33quwXo2MbjVopOOgkmRYdoi4LAABUAUI6gJS1YsM63T15jBauWxnf1zQ7R8M79VXd6tmR1gZsjel8kOyUL2S6HyqzZ2+ZIIi6JAAAUEX4vz6AlA3od056T4vXrSq23227/e44kAhsQb7Cr95W+Na/4vtcl/bgjFsUdO5DQAcAIM3wf34AKdnF3bWgL12/WqGbbKvoMVm/3x135wFRsrN+UPjv62U/elH2h89k5/4UP2aCjEhrAwAA0aC7O4CU48agF+3iXpIL6u64Oy8rgz+DqHp25a8Kx74gTZsQ25Fdx08Kpxbtoy4NAABEjE+nAABUEZufJzvh7dikcPkbJGNkuhwk03OQTI2aUZcHAAASACEdAICqYkPZbz+KBfQWOys46ESZRq2irgoAACQQQjqAlOOWWXOzuLtJ4kqOSXcCGTXOruPPAyqbXbFEqrODnwDOZGYp6HuKbO5amV32kWE5QAAAUAITxwFIOW4ddLfMWsMatX0gL3ZMxu93x1kvHZXJ5uUq/PQVhU/9Tfa7j+L7zY57KujYg4AOAABKRUgHkJLcOuiXde7nW8yLcttuP+uko7JYa2V/+ioWzt3Y84J8ac6mWdsBAAC2hu7uAFKWC+LXdRvgZ3Ev5Lq404KOymJ/na/wg+ek2VNiO3J2UND7eKn9XlGXBgAAkgQhHUBKc4GcZdZQFcJJH8q6gO4uCmVUk+l+uEz3Q/04dAAAgLLikysAABXANG0rG4bSTl1867mp1yjqkgAAQBIipAMAsB3s4tmyi2Yp2HN/v22atFUw7AaZhi2iLg0AACQxQjoAAOVg162W/exV2ckfSCaQbdlBpn5Tf4yADgAAfi9COgAAZWBtKPvdJ7KfvCytW+33mQ5dpWqMOQcAABWHkA4AwDbYBTMUvv+ctGhmbMcOzRX0OUmmdceoSwMAACmGkA4AwFbY3LUKX7pTysuVqmfL9DpKpnMfGVYNAAAAlYBPGAAAlNK13ZjA3zdZNWV6HCEtWyCz/zEytepGXR4AAEhhsU8gEfnoo480cOBANW/eXMYYjRw5cpuP+fDDD9W1a1dlZWWpffv2euqpp6qkVgBAerBzpyr89w2ys3+M7zPdD1Nw6B8J6AAAILVD+po1a9S5c2c99NBDZTp/5syZGjBggPr06aNvvvlGF198sc4880y9/fbblV4rACC12dW/KXzjMYUv3i4tnatw3KYLx+5CMgAAQMp3dz/ssMP8rawefvhh7bjjjrrrrrv89q677qpPPvlE99xzj/r371+JlQIAUpUtyJf9+j3ZcaNi485lZDodILPvkKhLAwAAaSipxqSPGzdO/fr1K7bPhXPXor4lubm5/lZo5cqVlVojACB52DlTFY75tx9v7jVrp+Cgk2SatI26NAAAkKYi7e5eXgsXLlSTJk2K7XPbLnivW7eu1Mfceuutqlu3bvzWqlWrKqoWAJDo7NoVsYBeM0em/+kKjr+SgA4AACKVVC3p2+PKK6/U8OHD49su0BPUASA92fy82CztjVv7bbNzd2nNSpndesnUqBl1eQAAAMkV0ps2bapFixYV2+e2c3JylJ2dXepj3Czw7gYASG/2528Ufvi8H3cenHazD+VuQjjTtfgwKgAAgCglVUjv2bOn3njjjWL73n33Xb8fAIDS2N8WxcL5zMmxHbXrS8sXS03p1g4AABJPpCF99erVmj59erEl1tzSag0aNFDr1q19V/V58+bpmWee8cfPPvtsPfjgg/rrX/+qM844Q++//75efPFFjR49OsKfAgCQiGxeruwXo2UnvC0V5EtBhky3/jI9BshUrxF1eQAAAIkX0r/66iu/5nmhwrHjp556qp566iktWLBAs2fPjh93y6+5QH7JJZfovvvuU8uWLfX444+z/BoAoBi7YZ3Cp6+VVi2L7Wizh4KDTpCp3zTq0gAAALbKWGut0oibOM7N8r5ixQo/lh0AkJrCt5/wS6wFBx4v7dTFjz8HAABI9ByaVGPSAQAojc1dK/v5azKdD5Kp18jvM72Pl8moJpNZPeryAAAAyoyQDgBIWtaGslM+l/3of9LalX6SuIxBF/pjLKkGAACSESEdAJCU7OJZCt9/Tpq/cQLSek0UdN40zwkAAEAyIqQDAJKKXbda9rMRspPHuqZ0KTNLpscRMl0PlqmWGXV5AAAAvwshHQCQVOy3Y2Unfejvm116yBxwrEyd+lGXBQAAUCEI6QCAhGfz8+Kt5Gavg2Xn/6yg2yEyrTpGXRoAAECFIqQDABKWXbNC9pOXZZfMUXDiNTJB4GdrL5wcDgAAINUQ0gEACceGBbLffCA7bqSUuy62c86PUpvdoi4NAACgUhHSAQAJxc75MTZr+6/zYjsat1Fw0IkyzdtHXRoAAEClI6QDABKC3bBe9t2nZaeOj+2oUUtmvyEyexzgu7kDAACkA0I6ACAxZGbJrlrmpoaT6dRbZt/BMtm1o64KAACgShHSAQCRsW6dcxfLjfG3oN8wqSBfpkmbqEsDAACIBCEdABAJG4ayY5/3Lehmv6P9PtOwRdRlAQAARIqQDgCocjZvg8I3H5OmT4xt77KPTKNWUZcFAAAQOUI6AKBK2XWrFI58QFrws5RRTebQPxLQAQAANiKkAwCqjF2+WOEr90rLF0lZNRUcdb5My12iLgsAACBhENIBAFXCLpihcOT90rpVUs4OCgZfLLND86jLAgAASCiEdABAlbArlsQCeuM2CgZdKFO7XtQlAQAAJBxCOgCgSgQde8gGgdR2D5nq2VGXAwAAkJCCqAsAAKQma0OF49+QXb08vs/s3J2ADgAAsBWEdABAhbP5ebJvPC77ycsKR94nW5AfdUkAAABJge7uAIAKZdevVTjqQWnuVCnIkOl6sEwG/7sBAAAoCz41AQAqjF35q8IR90q/zpeq11Aw8FyZNrtHXRYAAEDSIKQDACqEXTw7FtDXrJBq11cw+CKZRq2iLgsAACCpENIBAL+btVbhe/+OBfQdWigYcrFMnQZRlwUAAJB0COkAgN/NGKPgiD/LfvKKTN+TZbJqRl0SAABAUmJ2dwDAdree2wUz4tsmp6GCw/9EQAcAAPgdCOkAgHJzS6rZd55U+N9bZKdNjLocAACAlEF3dwBAudjcdQpf/6c063vXz112/WqZqIsCAABIEYR0AECZ2dW/KRxxn7RkjlStuoIjzpZp1znqsgAAAFIGIR0AUCZ26bzYEmurlkk1cxQMukimaduoywIAAEgphHQAwDbZVcsUvnCrlLtOqt9EweBLZOo1irosAACAlENIBwBsW+36Mrv1kl00S8FRF8hk1466IgAAgJRESAcAbHGJNRXky1TL9Ougq/fxMmGB3wYAAEDlYAk2AMBmbFgg+/5/FI68zy+35pggIKADAABUMlrSAQDF2LxchaMfkWZMctFcmvOj1HaPqMsCAABIC4R0AECcXbtS4Yj7pUUzpYxMBYedKUNABwAAqDKEdACAZ39bqPCVe6UVS6QatRQMulCmefuoywIAAEgrhHQAgOz8nxWOvF9av1qq2zC2xFqDplGXBQAAkHYI6QAAKTNLCgukJm1jLei16kZdEQAAQFoipAMAZBq1VHDsZVKDZjIusAMAACASLMEGAGnI2lDhR/+TnTs1vs80aUtABwAAiBghHQDSjM3Pkx39iOxXbykc9ZDs+jVRlwQAAICN6O4OAGnErlutcNSD0rxpUpAh0+dEmRq1oi4LAAAAGxHSASBN2BVLYkus/bZQyspWMPB8mdYdoy4LAAAARRDSASAN2IW/KBx5n7R2pVSngYLBF8k0bBl1WQAAACiBkA4AacBO+iAW0Bu2VDD4Ypk69aMuCQAAAKUgpANAGjB9T5Zq1pHZZ4BMVnbU5QAAAGALmN0dAFKQtVbh1PF+qTXHVMtUsP8xBHQAAIAER0s6AKQYW5Av+85TslPGSQt/kel9XNQlAQAAoIwI6QCQQmzuWoWv/Z80e4pkAqlBs6hLAgAAQDkQ0gEgRdhVyxSOuE9aOlfKzFIw8FyZtntEXRYAAADKgZAOACnALpkTC+irf5Nq1Y0tsda4TdRlAQAAoJwI6QCQ5GxersKX744tsdagmYIhF8vkNIy6LAAAAGwHZncHgCRnMrNk+pwotdxFwfFXEtABAACSGC3pAJCkS6y5lnNTq67fDnbpLrtzNxk3WRwAAACSFp/mACDJ2LBA9t2nFT57o58srhABHQAAIPnxiQ4AkojdsF7hyAdkv/tYWrNcdt60qEsCAABAKoX0hx56SG3btlWNGjXUo0cPjR8/fqvn33vvvdpll12UnZ2tVq1a6ZJLLtH69eurrF4AiIpds0Lhi7dLv3wrVauuYOB5Cjr2iLosAAAApMqY9BdeeEHDhw/Xww8/7AO6C+D9+/fX1KlT1bhx483Of+6553TFFVfoiSeeUK9evfTTTz/ptNNOkzFGd999dyQ/AwBUBfvrfIUj7pVW/ipl11Ew6EKZZu2iLgsAAAAVzFg/+1A0XDDv3r27HnzwQb8dhqFvHb/gggt8GC/p/PPP15QpUzRmzJj4vksvvVRffPGFPvnkkzJ9z5UrV6pu3bpasWKFcnJyKvCnQboJrVVeWBDfzgwyFBgTaU1ITXbRLIUv3SnlrpXqNVYw5BKZeptfyAQAAEBiKk8OjawlfcOGDZowYYKuvPLK+L4gCNSvXz+NGzeu1Me41vP//Oc/vkv8PvvsoxkzZuiNN97QKaecssXvk5ub629FXxzg91qxYZ3unjxGC9dt+vfUNDtHwzv1Vd3q2ZHWhhRUr5FUp4HUoKmCoy6UqVkn6ooAAABQSSIL6UuXLlVBQYGaNGlSbL/b/vHHH0t9zIknnugft99++/nlh/Lz83X22Wfrqquu2uL3ufXWW3XDDTdUeP1I74B+56T3tHT96mL7F69b5fdf1rkfQR2/m/sb54byOCarpoKjh0vVa/g10QEAAJC6tmviOBeO33vvPT3yyCNatWqV3zd//nytXl08tFS0Dz/8ULfccov+7//+TxMnTtQrr7yi0aNH68Ybb9ziY1xLvetSUHibM2dOpdaI1O/i7lrQXUAPVXykiNt2+91xdx6wvWwYyn7wX4UT3onvc+uhE9ABAABSX7lb0mfNmqVDDz1Us2fP9t3IDz74YNWpU0e33Xab33aTwJVFw4YNlZGRoUWLFhXb77abNm1a6mOuueYa37X9zDPP9Nt77rmn1qxZoz/96U+6+uqrfXf5krKysvwNqAhuDHrRLu4luaDujrvzsjIinZcRScrmbVD45mPS9Ilu4XPZdp1l6hfvcQQAAIDUVe6W9Isuukh77723fvvtN78MWqHBgwcXm9BtW6pXr65u3boVe4ybOM5t9+zZs9THrF27drMg7oK+E+H8dwBQIey6VQpfuiMW0DOqyRz+ZwI6AABAmil3U9/HH3+szz77zIfsotxa5/PmzSvXc7nl10499VQf+t1EcG4JNtcyfvrpp/vjw4YNU4sWLfy4cmfgwIF+qbW99trLzww/ffp037ru9heGdQBIRnb5YoWv3CstXyS5MehHXSDTcueoywIAAECih3TX2u0mfCtp7ty5vtt7eQwdOlRLlizRtddeq4ULF6pLly5666234pPJuS71RVvO//a3v/mJlNxXd0GgUaNGPqDffPPN5f0xgO3illlzs7i7SeJKjkl3Ahk1zq7jzwPKyi6YoXDk/dK6VVJOQwWDL5LZoXnUZQEAACAZ1kl3wdqt7/boo4/6UD558mQflo866ii1bt1aTz75pBIZ66SjImd3LxrUXUBvWKM2s7uj3MKvx8h+8JzUpI2CQRf5SeIAAACQOsqTQ8sd0l2Lef/+/f0Y8GnTpvmu6u6rmwjuo48+UuPGjZXICOmoCKyTjooWfveJzM57y1SvEXUpAAAASKaQXrgE2wsvvKBJkyb5Zde6du2qk046qdhEcomKkI6K4pZZc7O4F3Jd3ION61oDW2NtKDvhXZk99pOpUSvqcgAAAJDsIT2ZEdIBRMnm58m+/YTs1PFSy10UHHuZjCn3QhsAAABI0Rxa7k+Gbqb1J554YrP9bp9bKx0AUDq7fo3Cl++OBfQgI9aSTkAHAABAEeX+dPjII4+oY8eOm+3ffffd9fDDD5f36QAgLdiVSxU+f6s07yepeg0/g3uwW6+oywIAAECyL8Hmlkpr1qzZZvvdDO8LFiyoqLoAIGXYxbMUjrhPWrNCqlVPwZCLZRq1irosAAAApEJLeqtWrfTpp59utt/ta96cdX0BoOQkceGbj8cC+g4tFJx4NQEdAAAAFdeSftZZZ+niiy9WXl6eDjroIL9vzJgx+utf/6pLL720vE8HACnNjTkPjjhH4acjFBxyukyNmlGXBAAAgFQK6X/5y1/066+/6txzz9WGDRv8vho1aujyyy/XlVdeWRk1AkBS8YtmLJ0bbzE3OzRXxpHnRV0WAAAAksB2L8Hm1kefMmWKXxu9Q4cOysrKUjJgCTYAlckW5Mu+94zslM8VDLlEpvWuUZcEAACAJMqh5W5JL1S7dm117959ex8OACnH5q5T+Po/pVnfSyaQXfmrTNRFAQAAIKmUO6SvWbNG//jHP/w49MWLFysMw2LHZ8yYUZH1AUBSsKt/i83gvmSOVK26H4du2nWKuiwAAACkekg/88wzNXbsWJ1yyil+KTZjaCcCkN7s0nkKR9wrrVom1cxRMOgimaZtoy4LAAAA6RDS33zzTY0ePVr77rtv5VQEAEnELl+s8IVbpdx1Uv2msTXQ6zaKuiwAAACkS0ivX7++GjRoUDnVAECyqdtIpl1n2RVLFRx1gUx27agrAgAAQBILyvuAG2+8Uddee63Wrl1bORUBQIJzi2K4WdwdN+THHHK6gmMuI6ADAACg6lvS77rrLv38889q0qSJ2rZtq8zMzGLHJ06c+PurAoAEZcMC2Q+ek127SsGAs2WCQCZjuxfKAAAAAIop9yfLQYMGlfchAJASbF6uwtGPSDMmuTZ0ad40qdUuUZcFAACAFGKs67eZRsqziDwAFLJrVigc+YC0aKaUkangsDNldt476rIAAACQYjmUPpoAsA32t4UKX7lHWrFUqlFbwaALZJq3j7osAAAApKByh/SCggLdc889evHFFzV79mxt2LCh2PFly5ZVZH0AECk7f3qsBX39aj+Tu19irX7TqMsCAABAiir37O433HCD7r77bg0dOtQ31Q8fPlxDhgxREAS6/vrrK6dKAIhSXq7UZEcFJ1xFQAcAAEBijUnfaaeddP/992vAgAGqU6eOvvnmm/i+zz//XM8995wSGWPSAZSXnfuT1KSNTGZW1KUAAAAgCZUnh5a7JX3hwoXac889/f3atWv7b+IcccQRGj169PbWDAAJwdpQ4ccvyy6eHd9nWu5MQAcAAECVKHdIb9mypRYsWODvuxb0d955x9//8ssvlZXFh1gAycvm5yl8/WHZL99QOPJ+2Q3roy4JAAAAaabcIX3w4MEaM2aMv3/BBRfommuuUYcOHTRs2DCdccYZlVEjAFQ6u261wpfulKZNkIIMmf2PkaleI+qyAAAAkGZ+9zrp48aN8zcX1AcOHKhEx5h0ACXZ5UsUjrhH+m2RlJWt4MjzZVp1jLosAAAApIgqXSe9Z8+e/gYAycgunOm7tmvtSqlOAwWDL5Zp2CLqsgAAAJCmyhTSR40apcMOO0yZmZn+/tYceeSRFVUbAFS6cPwbsYDeqJWCwRfJ1K4fdUkAAABIY2Xq7u7WQHezujdu3Njf3+KTGaOCggIlMrq7AyjKblgn++kImX0Hy1TPjrocAAAApKAK7+4ehmGp9wEg2fjrkjMmSe06+wuLLpibPidGXRYAAABQ/tnd8/Ly1LdvX02bNq08DwOAhGAL8mXffFzhqw/Ifvlm1OUAAAAAv2/iODcmffLkyeV5CAAkBJu7VuGoh6Q5P/ol1lST4S4AAABIgXXSTz75ZP3rX/+qnGoAoBLYVcsUPv+PWEDPzFIw6EIFe+wXdVkAAADA71+CLT8/X0888YTee+89devWTbVq1Sp2/O677y7vUwJApbG/LVL4vzuk1b9JterGllhr3DrqsgAAAICKCenfffedunbt6u//9NNPxY65SZgAIFHYvFyFL90ZC+gNmikYcolMzg5RlwUAAABUXEj/4IMPyvsQAIiEycyS6XGE7NfvKTjmMpladaMuCQAAAKjYkA4AySTo1Ft2t14y1TKjLgUAAAConJD+1Vdf6cUXX9Ts2bO1YcOGYsdeeeWV7XlKAKgQdtVvCj94TkG/YTI16/h9BHQAAACk7Ozuzz//vHr16qUpU6ZoxIgRfu3077//Xu+//77q1qUrKYDo2NXLY5PETZ+o8J0noy4HAAAAqPyQfsstt+iee+7Ra6+9purVq+u+++7Tjz/+qOOOO06tWzNjMoBo2DUrYpPELV8k5eyg4KAToy4JAAAAqPyQ/vPPP2vAgAH+vgvpa9as8bO6X3LJJXr00UfLXwEA/E527apYQF+2QKrTQMExf5HJaRh1WQAAAEDlh/T69etr1apV/n6LFi38kmzO8uXLtXbt2vJXAAC/g123OhbQf50v1aoXm8W9XqOoywIAAAAqN6QXhvEDDjhA7777rr9/7LHH6qKLLtJZZ52lE044QX379t2+KgBgO/mx50vnSrXqKjjuLzL1m0RdEgAAAFD5s7t36tRJ3bt316BBg3w4d66++mplZmbqs88+09FHH62//e1v218JAGyH4MDjFa5ZqeDQM2TqN426HAAAAOB3MdZaW5YTP/74Yz355JN66aWXFIahD+Vnnnmm9t9/fyWTlStX+lnoV6xYoZycnKjLAbAd3J8tNxfGlrYBAACAZM2hZe7u7sL4E088oQULFuiBBx7QL7/8ot69e2vnnXfWbbfdpoULF1ZE7QCwVXbDOr/Mmp3+dXwfAR0AAABpO3FcrVq1dPrpp2vs2LH66aeffNf3hx56yC+/duSRR1ZOlQDgA/p6hSPuk+ZOVfjeM7J5uVGXBAAAAEQb0otq3769rrrqKj8WvU6dOho9enTFVQYARbhAHo68X5o3TcrKVjD4IpnMrKjLAgAAAKKZOK6kjz76yHd/f/nllxUEgY477jj98Y9/rNjqAMAH9A0KX33At6Creg0FQ4bLNGkbdVkAAABAtCF9/vz5euqpp/xt+vTp6tWrl+6//34f0F03eACoaDY/T+GoB6XZU6TMLAVDLpFp1i7qsgAAAIBoQ/phhx2m9957Tw0bNtSwYcN0xhlnaJdddqnc6gCkPTt5rDTre6ladQWDL5Zp3j7qkgAAAIDoQ7pbD90tv3bEEUcoIyOj8ioCgCLMXgdJyxfJdOgm03LnqMsBAAAAEmOd9FTBOulA4rMF+W5dNZmAC4IAAABIfpWyTjoAVAUbFsi++Zjsm4/7+wAAAEA6IaQDSLCA/rjsT1/JTpsgLZoVdUkAAABAlSKkA0gINgxl335Cdup4KchQMPBcZnEHAABA2ok8pD/00ENq27atatSooR49emj8+PFbPX/58uU677zz1KxZM2VlZWnnnXfWG2+8UWX1Aqh41oay7z4lO+VzyQQKBvxZZqcuUZcFAAAAJPY66RXthRde0PDhw/Xwww/7gH7vvfeqf//+mjp1qho3brzZ+Rs2bNDBBx/sj7mZ5lu0aKFZs2apXr16kdQPoKIC+jOy33+6MaD/yc/kDgAAAKSjSGd3d8G8e/fuevDBB/12GIZq1aqVLrjgAl1xxRWbne/C/B133KEff/zRLwm3PZjdHUgsdulchc/eKIUFMoedpaBjj6hLAgAAANJvdnfXKj5hwgT169dvUzFB4LfHjRtX6mNGjRqlnj17+u7uTZo00R577KFbbrlFBQVbngE6NzfXvyBFbwASh2nYUsGgi2T6/5GADgAAgLQXWUhfunSpD9cubBflthcuXFjqY2bMmOG7ubvHuXHo11xzje666y7ddNNNW/w+t956q79iUXhzLfUAouU68Ni1my6YmTa7KditZ6Q1AQAAAIkg8onjysN1h3fj0R999FF169ZNQ4cO1dVXX+27wW/JlVde6bsUFN7mzJlTpTUDKCWgf/ySwn9fL7tsQdTlAAAAAAklsonjGjZsqIyMDC1atKjYfrfdtGnTUh/jZnR3Y9Hd4wrtuuuuvuXddZ+vXr36Zo9xM8C7G4AECeifjpD96q3Y9vzpMg2aRV0WAAAAkDAia0l3gdq1ho8ZM6ZYS7nbduPOS7Pvvvtq+vTp/rxCP/30kw/vpQV0AInFjhslO360v2/6nKhgj/2jLgkAAABIKJF2d3fLrz322GN6+umnNWXKFJ1zzjlas2aNTj/9dH982LBhvrt6IXd82bJluuiii3w4Hz16tJ84zk0kByCxhV+8Lvv5KH/f9B6qYK++UZcEAAAAJJxI10l3Y8qXLFmia6+91ndZ79Kli9566634ZHKzZ8/2M74XcpO+vf3227rkkkvUqVMnv066C+yXX355hD8FgG0Jv3zTd3N3zP7HKuh2SNQlAQAAAAkp0nXSo8A66UDVsgX5Cp//h7Ropsy+QxT0GBB1SQAAAEDC5tBIW9IBpD6TUU3BMcNlp01gDDoAAACQSkuwAUgedunc+H2TVZOADgAAAJQBIR1AhQsnj1X4zHUKJ7wddSkAAABAUiGkA6hQ4Xcfy773TGxj9fKoywEAAACSCiEdQIUJf/hM9p2n/X2zVz+ZA46LuiQAAAAgqRDSAVSIcMrnsm894Uajy3Q+SObA42WMibosAAAAIKkQ0gH8buHU8bJvPR4L6J16yxx0AgEdAAAA2A6EdAC/34qlkrUye+wv0/dkGcOfFgAAAGB7sE56ggqtVV5YEN/ODDIU0DKJBBXsc7hsw5bSjnsQ0AEAAIDfgZCegFZsWKe7J4/RwnUr4/uaZudoeKe+qls9O9LagEJ27lSpcWuZjf8mTbtOUZcEAAAAJD2avBIwoN856T0tXreq2H637fa740DU7MxvFb58t7/ZXP5NAgAAABWFkJ5gXdxdC/rS9asVyhY/Juv3u+PuPCAqdtb3Ckc9KBXkS7XqSdUyoy4JAAAASBmE9ATixqC7Lu4lA3oht98dLzpWHahKdvaPCkc+EAvoO3VRMODPMhmMmgEAAAAqCiEdQJnHoIcj75MK8qQdOykYcDYBHQAAAKhghHQA22TnT1c44j4pf4PUZg8FA8+VoZs7AAAAUOEI6QnELbPmZnEPVPpSa26/O+7OA6pU9RpStepS690UHHkeAR0AAACoJIT0BOLWQXfLrDWsUXuzoO623X53nPXSUdVMw5YKjr9SwVHny2RWj7ocAAAAIGUR0hOMWwf9ss791Di7TrH9btvtZ510VBW7aJbsnKnxbVO/iUxmVqQ1AQAAAKmOWZ8SkAvi13UbUGwWd9fFnRZ0VBW7ZI7Cl++S8vMUHHOpTPP2UZcEAAAApAVCeoJygTyLmbMRAbt0rsKX7pTWr5GatpN2aBF1SQAAAEDaoLs7gDj763yFL90lrVstNWmrYMglMlkMsQAAAACqCiEdgGeXLYy1oK9dKTVureDo4TI1akZdFgAAAJBWCOkAZFctU/i/O6Q1KyQ3k/vRl8rUqBV1WQAAAEDaYdAzAKlmjtSsnfTbQgXHXCaTXTvqigAAAIC0REgHIJNRTcGAP0sb1hPQAQAAgAjR3R1I5y7u416VtWE8qBPQAQAAgGjRkg6kIbvqN4Uv3iGtWCxZyfQ6KuqSAAAAANCSDqQfu3p5bJI4F9DrNpTZc/+oSwIAAACwESEdSCN2zYrYMmvLF0k5Oyg49i8ydRpEXRYAAACAjQjpQJqwa1fGAvqyBVKdBrGAntMw6rIAAAAAFEFIB9KADUOFr9wr/Tpfql0/tsxa3UZRlwUAAACgBEI6kAZMECjY5/CNLeiXydRvEnVJAAAAAErB7O5AmjA7762gXWeZaplRlwIAAABgC2hJB1KUzV2rcPQjsit/je8joAMAAACJjZAOpCC7YZ0fg26njlf42kOy1kZdEgAAAIAyIKQDKcZuWK9wxH3Sgp+lrJoKDj5VxpioywIAAABQBoR0IIXYvFyFI++X5k2TsrIVHH2pTOM2UZcFAAAAoIwI6UCKsHkbYgF97lSpeg0FQ4bLNG0bdVkAAAAAyoGQDqQI+9EL0pwfpcwsBUMukWnWLuqSAAAAAJQTS7ABKcL84UjZRbMUHHCcTPP2UZcDAAAAYDsQ0oEk5mZtL5wUztSqq+CEq5kkDgAAAEhidHcHkpQtyFf4+j8Vfv9pfB8BHQAAAEhutKQDSciGBbJvPiZNmyA781vZNrvL1K4XdVkAAAAAfida0oEkY8NQ9s1/yf70lRRkKDjiHAI6AAAAkCII6UCyBfS3n5Cd+kUsoA88V6Zdp6jLAgAAAFBBCOlAkrA2lH33Kdkp4yQTKBjwZ5mdukRdFgAAAIAKREgHksW0ibJukjgf0P8k06Fb1BUBAAAAqGBMHAckiw7dZPY5XGrYUmbn7lFXAwAAAKASENKBBF8HXWGBTEY1v7ya2e/oqEsCAAAAUIno7g4kcEC3H72ocOQDsnkboi4HAAAAQBUgpAOJGtA/fkl2wjvSrO+kOVOiLgkAAABAFSCkA4kY0D8dIfvVW37b9D1Fpl3nqMsCAAAAUAUI6UCCseNGyY4f7e+bPicq6Hxg1CUBAAAAqCKEdCCBhJ+/Jvv5KH/f9B6qYK++UZcEAAAAoAoR0oEEYVf/JvvV2/6+2f9YBd0OibokAAAAAFWMJdiABGFq11dw9HDZ+dMUdOsfdTkAAAAAIkBIByJm162Sya7j75tm7fwNAAAAQHpKiO7uDz30kNq2basaNWqoR48eGj9+fJke9/zzz8sYo0GDBlV6jUBlCL95X+ETV8kunBl1KQAAAAASQOQh/YUXXtDw4cN13XXXaeLEiercubP69++vxYsXb/Vxv/zyiy677DLtv//+VVYrUJHCyWNl339Wyl0rO3Ny1OUAAAAASACRh/S7775bZ511lk4//XTttttuevjhh1WzZk098cQTW3xMQUGBTjrpJN1www1q146uwUg+4Xcfy773jL9vuh0i84cjoy4JAAAAQLqH9A0bNmjChAnq16/fpoKCwG+PGzdui4/7+9//rsaNG+uPf/xjFVUKVJzw+09l33na3zd79ZM54Dg/bAMAAAAAIp04bunSpb5VvEmTJsX2u+0ff/yx1Md88skn+te//qVvvvmmTN8jNzfX3wqtXLnyd1YNbL9wyueybz/ppouT6dxH5sDjCegAAAAAEqe7e3msWrVKp5xyih577DE1bNiwTI+59dZbVbdu3fitVatWlV4nUBprrewPn8UC+p69ZQ46kYAOAAAAIHFa0l3QzsjI0KJFi4rtd9tNmzbd7Pyff/7ZTxg3cODA+L4wDP3XatWqaerUqdppp52KPebKK6/0E9MVbUknqCMKLpAHR54v++1Ymb36ypikukYGAAAAoApEmhKqV6+ubt26acyYMcVCt9vu2bPnZud37NhR3377re/qXng78sgj1adPH3+/tPCdlZWlnJycYjegKtllC3wrumMyqyvoejABHQAAAEDitaQ7rpX71FNP1d5776199tlH9957r9asWeNne3eGDRumFi1a+G7rbh31PfbYo9jj69Wr57+W3A8kAjtjksJRD8ns3V/adwjd2wEAAAAkdkgfOnSolixZomuvvVYLFy5Uly5d9NZbb8Unk5s9e7af8R1INnbmtwpf+z8pLJCWL3aD0l2f96jLAgAAAJDAjC3sh5sm3Jh0N4HcihUr6PqOSmNn/aBw5H1SQb7UvquCAX+WyYj8mhgAAACABM+hNFEDFczO/lHhqw/EAvpOXQjoAAAAAMqMkA5UIDt3aqwFPX+DtGMnBQPOJqADAAAAKDNCOlCBrBt77gJ6mz0UDDxXplpm1CUBAAAASCI08QEVKNhjf9madaVWHQnoAAAAAMqNlnTgd7KLZ8uuXRXfNu06+fXQAQAAAKC8COnA72AXzVL4vzsU/u922bUroy4HAAAAQJKjuzuwneyMSQpHPyLl5Uo7NJfo3g4AAADgdyKkA+VkrZX9+j3ZsS+4DT/+PDjyfJnq2VGXBgAAACDJEdKBcrAF+bIfPCc7eazfNnseIHPQSSyzBgAAAKBCkCyAcrAf/W9jQDcyvY+V6XqIjDFRlwUAAAAgRRDSgXIwex8q+8t3Cg44VmanLlGXAwAAACDFENKBbbCrlsnUaeDvmzr1FZz6d5kgI+qyAAAAAKQglmADtiL87hOFT1ypcOqX8X0EdAAAAACVhZAOlMLaUKEbf/7Ok1JBvjRzctQlAQAAAEgDdHcHSrB5uQrfeEz6+Wu/bf4wUKbnkVGXBQAAACANENKBEuPPw1cfkBbPljKqyRxyuoJd/xB1WQAAAADSBCEd2MiuW63wuZukNSukmjkKjjxPpnn7qMsCAAAAkEYI6cBGJru2zK49ZWd+q2DQhTJ1G0ZdEgAAAIA0Q0hHWrPWSnm5MtVr+G2z/9GxMegbtwEAAACgKjG7O9KWzc+Tfetxha/c4+87xgQEdAAAAACRoSUdacmuXaVw1IPS/Olu4XNp3jSpzW5RlwUAAAAgzRHSkXbs0nkKX71fWrFUyspWcMQ5MgR0AAAAAAmAkI604iaFC0c/Im1YJ9VtrGDwhTINmkVdFgAAAAB4hHSkjfCHcbJv/8vNFie16BBbYi27TtRlAQAAAEAcIR1pwzTbUbZ6tkz7vWT6niJTLTPqkgAAAACgGEI6UpoNQ5kgtoiBqd9UwcnXSTk7yBgTdWkAAAAAsBmWYEPKssuXKPzPDbKzvo/vM3UbEtABAAAAJCxCOlKSnTdN4X9vkpbOVfjh875FHQAAAAASHd3dkXLCHz6TffdpqSBfatxGwVEXxLu8AwAAAEAiI6QjZVgbyn46Unb86NiO9l0VHHamTGZW1KUBAAAAQJkQ0pESbEG+wjcelaZN8Ntmn8Nl9h0sY2hBBwAAAJA8COlIDUGGTPUasu7rIacp2K1X1BUBAAAAQLkR0pES/Izt/YbJdDlIpknbqMsBAAAAgO1CX2AkLTt9osLXH47P3G4yqhHQAQAAACQ1WtKRdKy1sl+9Jfvxy25LatVRpvOBUZcFAAAAAL8bIR1JN0Gcfe8Z2e8/9dumcx+ZPfePuiwAAAAAqBCEdCQNu261wlEPSfN+coPQZQ48QcFefaMuCwAAAAAqDCEdScEuW6hwxH3SisVS9RoKBpwts+OeUZcFAAAAABWKkI7kkLdeWrNcymmoYNAFMg1bRl0RAAAAAFQ4QjqSgpu13YVzNWwpUzMn6nIAAAAAoFKwBBsSkltWLfzof7ILZsT3mda7EdABAAAApDRCOhKO3bBO4asP+GXWwlEPym5YH3VJAAAAAFAl6O6OhGJXLlU48gFp6VwpI1NBnxNkqteIuiwAAAAAqBKEdCQMO/9n33KutSulWnUVHHWBTNMdoy4LAAAAAKoMIR0JIfzxC9m3n5AK8qVGrRQMulCmToOoywIAAACAKkVIR+SstbJTv4wF9J26KDjsLLq4AwAAAEhLhHREzhij4LAzZb8dK7PXwTIB8xkCAAAASE+kIUTCrlmh8IvRvhXdcS3nQbf+BHQAAAAAaY2WdFQ5u2SOwpH3S6uWSRnVZPbuH3VJAAAAAJAQCOmoUnbGJIWjH5HycqX6TWR26hJ1SQAAAACQMAjpqLrJ4Sa+K/vRi25DatVRwcBzZWrUiro0AAAAAEgYhHRUOluQL/v+c35iOMfseYDMQSfJZPDPDwAAAACKIiWh8i2ZI/v9Jy6ey/Q+TqbrwX5GdwAAAABAcYR0VDrTdEeZfsNksmszBh0AAAAAtoKQjkph5/wo1aor06CZ3w722C/qkgAAAAAg4bEoNSpc+O3HCl++W+GI+2XXrY66HAAAAABIGrSko8LYMJT95GXZr97y26ZpG6la9ajLAgAAAICkQUhHhbAb1it88zHp52/8tvnDkTI9j2SCOAAAAABItu7uDz30kNq2basaNWqoR48eGj9+/BbPfeyxx7T//vurfv36/tavX7+tno/KZ1ctU/jCP2IBPaOazOF/UtDrKAI6AAAAACRbSH/hhRc0fPhwXXfddZo4caI6d+6s/v37a/HixaWe/+GHH+qEE07QBx98oHHjxqlVq1Y65JBDNG/evCqvHTF27It+mTXVzFFw7F8UdOwRdUkAAAAAkJSMtdZGWYBrOe/evbsefPBBvx2GoQ/eF1xwga644optPr6goMC3qLvHDxs2bJvnr1y5UnXr1tWKFSuUk5NTIT9DurPrVil85ykFfU6QyWkYdTkAAAAAkFDKk0MjbUnfsGGDJkyY4LusxwsKAr/tWsnLYu3atcrLy1ODBg1KPZ6bm+tfkKI3/D7uuo6d9UN822TXUcZRFxDQAQAAAOB3ijSkL1261LeEN2nSpNh+t71w4cIyPcfll1+u5s2bFwv6Rd16663+ikXhzbXSY/vZ/DzZtx5X+PJdCiePjbocAAAAAEgpkY9J/z3+8Y9/6Pnnn9eIESP8pHOlufLKK32XgsLbnDlzqrzOVGHXrlT40p2yUz6XTFL/0wEAAACAhBTpEmwNGzZURkaGFi1aVGy/227atOlWH3vnnXf6kP7ee++pU6dOWzwvKyvL3/D72KXzFI68X1q5VMrKVnDEuTJtdou6LAAAAABIKZE2h1avXl3dunXTmDFj4vvcxHFuu2fPnlt83O23364bb7xRb731lvbee+8qqjZ92ZnfKnz+1lhAr9tYwQlXE9ABAAAAINVa0h23/Nqpp57qw/Y+++yje++9V2vWrNHpp5/uj7sZ21u0aOHHlju33Xabrr32Wj333HN+bfXCseu1a9f2N1Qsu2KJwlcfkMICqcXOCo48Tyab1xkAAAAAUjKkDx06VEuWLPHB2wXuLl26+BbywsnkZs+e7Wd8L/TPf/7Tzwp/zDHHFHset8769ddfX+X1pzpTt5FMz6Ok5Ytk+g2TyYj8nwwAAAAApKzI10mvaqyTvm02d62UlytTu35se+M/EWNMxJUBAAAAQGrnUJpFUYxdvkThyPukjGoKhl4hU70G4RwAAAAAqgghHXF27k8KRz0krV8tuVb01culBlufZR8AAAAAUHEI6fDCHz6Tfeep2ARxTdooOOqCeHd3AAAAAEDVIKSnOWtD2U9HyI5/I7ajQzcFh/5RJpO15QEAAACgqhHS05z9ZITsl7GAbvYZILPvIBmzaTZ9AAAAAEDVIaSnOdP5QNkfP5fZd7CC3XpFXQ4AAAAApDVCehqy61bJZNfx903ODgpOv0WmWmbUZQEAAABA2qNfc5qx0ycqfPxy2WkT4vsI6AAAAACQGAjpacJaq3D8GwpH/Z+Ul6twyudRlwQAAAAAKIHu7mnAFuTLvveM7Pef+m3T+SCZPsdHXRYAAAAAoARCehqMP/et5/N+koyROfAEBXv1jbosAAAAAEApCOkpzOauVfjcLdKKxVL1bAUD/iyz455RlwUAAAAA2ALGpKcwk1VTZqfOUk5DBcdfSUAHAAAAgARHS3oKsvl58RnbzQHHyfQ4Qia7dtRlAQAAAAC2gZb0FGLDUOEH/1X4yj1+sjjHBAEBHQAAAACSBC3pKcLmrlP4xiPSzG9jO2Z9L7XrHHVZAAAAAIByIKSnALtiqcKR90u/zpMyMhUcdqYMAR0AAAAAkg4hPcnZ+dMVjnpIWrtSqlVXwVEXyDTdMeqyAAAAAADbgZCexOz0iQpHPyK58eeNWikYdKFMnQZRlwUAAAAA2E6E9GRWv6nkZnFvu4eCw86SqV4j6ooAAAAAAL8DIT3JWGtljPH3zQ7NFZxwtVSviZ/FHQAAAACQ3Eh2ScSuWaHwxdtkZ/8Y32caNCOgAwAAAECKIN0lCbtkjsLnbpLmTVP43tOyYUHUJQEAAAAAKhjd3ZOA/fkbhW88KuXlSvWbKBh0kUyQEXVZAAAAAIAKRkhP8PHnduI7smP/57akVh0VDDxXpkatqEsDAAAAAFQCQnqCct3Z7Zj/yH77kd82e/aWOehEmQzeMgAAAABIVSS+RGUCKX+DuyPT+ziZrgfHZ3UHAAAAAKQmQnqC8oH84NNk9jhAptUuUZcDAAAAAKgChPQEZqplSgR0AAAAAEgbLMEGAAAAAECCIKQDAAAAAJAgCOkAAAAAACQIQjoAAAAAAAmCkA4AAAAAQIIgpAMAAAAAkCAI6QAAAAAAJAhCOgAAAAAACYKQDgAAAABAgiCkAwAAAACQIAjpAAAAAAAkCEI6AAAAAAAJgpAOAAAAAECCIKQDAAAAAJAgCOkAAAAAACQIQjoAAAAAAAmCkA4AAAAAQIIgpAMAAAAAkCCqKc1Ya/3XlStXRl0KAAAAACANrNyYPwvz6NakXUhftWqV/9qqVauoSwEAAAAApFkerVu37lbPMbYsUT6FhGGo+fPnq06dOjLGKNGvtriLCXPmzFFOTk7U5aAUvEfJgfcpOfA+JT7eo+TA+5QceJ8SH+9RcliZJO+Ti90uoDdv3lxBsPVR52nXku5ekJYtWyqZuH9sifwPDrxHyYL3KTnwPiU+3qPkwPuUHHifEh/vUXLISYL3aVst6IWYOA4AAAAAgARBSAcAAAAAIEEQ0hNYVlaWrrvuOv8ViYn3KDnwPiUH3qfEx3uUHHifkgPvU+LjPUoOWSn4PqXdxHEAAAAAACQqWtIBAAAAAEgQhHQAAAAAABIEIR0AAAAAgARBSAcAAAAAIEEQ0hPMrbfequ7du6tOnTpq3LixBg0apKlTp0ZdFrbhH//4h4wxuvjii6MuBUXMmzdPJ598snbYYQdlZ2drzz331FdffRV1WSiioKBA11xzjXbccUf/Hu2000668cYbxZym0froo480cOBANW/e3P9tGzlyZLHj7v259tpr1axZM/++9evXT9OmTYus3nS1tfcpLy9Pl19+uf+7V6tWLX/OsGHDNH/+/EhrTjfb+l0q6uyzz/bn3HvvvVVaI8r2Pk2ZMkVHHnmk6tat63+n3Of12bNnR1JvuvpoG+/T6tWrdf7556tly5b+/0277babHn74YSUjQnqCGTt2rM477zx9/vnnevfdd/3/ZA855BCtWbMm6tKwBV9++aUeeeQRderUKepSUMRvv/2mfffdV5mZmXrzzTf1ww8/6K677lL9+vWjLg1F3HbbbfrnP/+pBx980H8Actu33367HnjggahLS2vu/zmdO3fWQw89VOpx9x7df//9/sPPF1984T+w9u/fX+vXr6/yWtPZ1t6ntWvXauLEif4imPv6yiuv+Iv+LmQgcX6XCo0YMcJ/9nPhA4n3Pv3888/ab7/91LFjR3344YeaPHmy/92qUaNGldeaztZs430aPny43nrrLf3nP//xnylc45kL7aNGjVLScUuwIXEtXrzYNSfZsWPHRl0KSrFq1SrboUMH++6779revXvbiy66KOqSsNHll19u99tvv6jLwDYMGDDAnnHGGcX2DRkyxJ500kmR1YTi3P+DRowYEd8Ow9A2bdrU3nHHHfF9y5cvt1lZWfa///1vRFWi5PtUmvHjx/vzZs2aVWV1Ydvv0dy5c22LFi3sd999Z9u0aWPvueeeSOrDlt+noUOH2pNPPjmymlC292n33Xe3f//734vt69q1q7366qttsqElPcGtWLHCf23QoEHUpaAUrtfDgAEDfFdPJBZ31XTvvffWscce64eO7LXXXnrssceiLgsl9OrVS2PGjNFPP/3ktydNmqRPPvlEhx12WNSlYQtmzpyphQsXFvu757p/9ujRQ+PGjYu0Nmz7M4XrIlqvXr2oS8FGYRjqlFNO0V/+8hftvvvuUZeDLbxHo0eP1s477+x7DLnPFO7v3daGLiC6zxSjRo3ywx1djv/ggw/85wvXKznZENIT/I+C66bhuuzuscceUZeDEp5//nnfhdDNI4DEM2PGDN+NukOHDnr77bd1zjnn6MILL9TTTz8ddWko4oorrtDxxx/vuxC6oQnuYor7u3fSSSdFXRq2wAV0p0mTJsX2u+3CY0g8biiCG6N+wgknKCcnJ+pysJEb4lOtWjX//yckpsWLF/uxzm7+oUMPPVTvvPOOBg8erCFDhvhhqkgcDzzwgB+H7sakV69e3b9frmv8AQccoGRTLeoCsPVW2u+++863KiGxzJkzRxdddJGfN4DxSIl7kcu1pN9yyy1+24U/9/vkxtCeeuqpUZeHjV588UU9++yzeu6553wr0jfffONDuhuXyfsEVAw3v81xxx3nW5bcxUskhgkTJui+++7zF/xdDwck7ucJ56ijjtIll1zi73fp0kWfffaZ/0zRu3fviCtE0ZDu5nZwrelt2rTxE825POU+UyRbr1da0hOUm+Tg9ddf99003NUgJN7/WN2V1a5du/or4O7mrqa6iZTcfTdjNaLlZp12V1OL2nXXXZmJNcG4Lp6FreluFmrX7dN9CKKHSuJq2rSp/7po0aJi+9124TEkXkCfNWuWv7BMK3ri+Pjjj/1nidatW8c/S7j36dJLL1Xbtm2jLg8bNWzY0L83fKZIbOvWrdNVV12lu+++288A7yZ0dnlq6NChuvPOO5VsaElPMO4q9wUXXOBn+XSzR7pliZB4+vbtq2+//bbYvtNPP9132XXdCTMyMiKrDTFumEjJ5QvduCR3ZRWJw81AHQTFrxe735/ClgskHvf/JRfG3VwCrjXJWblypZ/l3Q0rQeIFdLc8nrvo75ajROJwFyVLtu65Mc9uv/tMgcTguk275db4TJH4f+/y8vJS5jMFIT3BuC4Zrtvnq6++6tdKLxzf5yblcev9ITG496bkPAFuCSL3AYj5AxKDa411E4i47u7uQ+r48eP16KOP+hsSh7vaffPNN/uWJNfd/euvv/ZXwc8444yoS0trbvzl9OnTi00W54YiuElM3XvlhiTcdNNNfs4HF9rdUkSuO+GgQYMirTvdbO19cr2JjjnmGN+V2vXMcz28Cj9TuOMueCD636WSF07c3BzuItguu+wSQbXpa1vvk+v15Vpk3djmPn36+GW+XnvtNd+ghsR5n3r37u3fK5eZ3AUU18v1mWee8Z8rkk7U08ujOPeWlHZ78sknoy4N28ASbInntddes3vssYdfGqpjx4720UcfjboklLBy5Ur/e9O6dWtbo0YN265dO79USm5ubtSlpbUPPvig1P8XnXrqqfFl2K655hrbpEkT//vVt29fO3Xq1KjLTjtbe59mzpy5xc8U7nFIjN+lkliCLXHfp3/961+2ffv2/v9VnTt3tiNHjoy05nT0wTbepwULFtjTTjvNNm/e3L9Pu+yyi73rrrv8/7OSjXH/ifpCAQAAAAAAYOI4AAAAAAASBiEdAAAAAIAEQUgHAAAAACBBENIBAAAAAEgQhHQAAAAAABIEIR0AAAAAgARBSAcAAAAAIEEQ0gEASHHGGI0cOTLqMgAAQBkQ0gEASFKnnXaaD+DulpmZqSZNmujggw/WE088oTAM4+ctWLBAhx12WJmek0APAEC0COkAACSxQw891IfwX375RW+++ab69Omjiy66SEcccYTy8/P9OU2bNlVWVlbUpQIAgDIgpAMAkMRc+HYhvEWLFuratauuuuoqvfrqqz6wP/XUU5u1jm/YsEHnn3++mjVrpho1aqhNmza69dZb/bG2bdv6r4MHD/aPKdz++eefddRRR/mW+tq1a6t79+567733itXhzr3lllt0xhlnqE6dOmrdurUeffTRYufMnTtXJ5xwgho0aKBatWpp77331hdffBE/7up2P4Orq127drrhhhviFxoAAEgXhHQAAFLMQQcdpM6dO+uVV17Z7Nj999+vUaNG6cUXX9TUqVP17LPPxsP4l19+6b8++eSTvnW+cHv16tU6/PDDNWbMGH399de+9X7gwIGaPXt2see+6667fPB255x77rk655xz/PcofI7evXtr3rx5/vtPmjRJf/3rX+Pd8j/++GMNGzbM9wL44Ycf9Mgjj/iLDDfffHOlv14AACSSalEXAAAAKl7Hjh01efLkzfa7YN2hQwftt99+vrXctaQXatSokf9ar1493zpfyAV+dyt04403asSIET5su1b5Qi7Iu3DuXH755brnnnv0wQcfaJdddtFzzz2nJUuW+ODvWtKd9u3bxx/rWs2vuOIKnXrqqX7btaS77+OC/HXXXVfBrw4AAImLkA4AQAqy1voQXtpkc25yORecXYu4G7t+yCGHbPW5XCv49ddfr9GjR/sWdtcFfd26dZu1pHfq1Cl+331vF/QXL17st7/55hvttdde8YBekmtZ//TTT4u1nBcUFGj9+vVau3atatasWe7XAACAZERIBwAgBU2ZMkU77rjjZvvdmO+ZM2f6MetuXPlxxx2nfv366aWXXtric1122WV69913deedd/rW7+zsbB1zzDF+fHtRbob5olxQL+zO7h6zrQsBrjV9yJAhmx1zY9QBAEgXhHQAAFLM+++/r2+//VaXXHJJqcdzcnI0dOhQf3Nh27WoL1u2zLdyu6DtWrCLci3crgXeTShXGKjdbPLl4VrZH3/88fj3Ke3igRu/XrQLPAAA6YiQDgBAEsvNzdXChQt9sF60aJHeeustP1u768buJmIr6e677/Yzu7uu50EQ6H//+5/vlu7GoTtuEjk3Qdy+++7rZ46vX7++H8PuJqFzk8W51vFrrrmm2DrsZeFmdXezvw8aNMjX52pwE8w1b95cPXv21LXXXutrdrPCuwsHrjbXBf67777TTTfdVGGvFwAAiY7Z3QEASGIulLvA68K1axF3E7W5GdzdcmYZGRmbne+WR7v99tv9LOxuKTXXIv7GG2/4UFw4Q7vr2t6qVSsf5AuDvQvrvXr18kG9f//+vuW7PKpXr6533nlHjRs39hPM7bnnnvrHP/4Rr9E95+uvv+7PcXX94Q9/8BPPFZ3YDgCAdGCsm1kGAAAAAABEjpZ0AAAAAAASBCEdAAAAAIAEQUgHAAAAACBBENIBAAAAAEgQhHQAAAAAABIEIR0AAAAAgARBSAcAAAAAIEEQ0gEAAAAASBCEdAAAAAAAEgQhHQAAAACABEFIBwAAAAAgQRDSAQAAAABQYvh/zNFr1yF8FPMAAAAASUVORK5CYII=" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 18 }, { "cell_type": "code", "id": "ed2986f1-dcb2-4efd-9d3a-350690a670d0", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:46.632519Z", "start_time": "2025-12-21T14:56:46.518054Z" } }, "source": [ "# linear\n", "\n", "linear.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 19 }, { "cell_type": "code", "id": "a7fbbc6d-03ff-4c58-a943-0f266b85aae3", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:46.805666Z", "start_time": "2025-12-21T14:56:46.688432Z" } }, "source": [ "# power\n", "\n", "power.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 20 }, { "cell_type": "code", "id": "3ee590a9-35aa-4eb2-8fd0-3a76222ce445", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:46.980976Z", "start_time": "2025-12-21T14:56:46.849062Z" } }, "source": [ "# spherical\n", "\n", "spherical.plot()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 21 }, { "cell_type": "markdown", "id": "8fa9f80e-bd83-43ed-baf8-d53cf1204814", "metadata": {}, "source": [ "What was your guess?\n", "\n", ".\n", ".\n", ".\n", "\n", "I hope, that you have chosen `circular` or `linear` model! But we should be careful with the final opinion and even more careful if we let the algorithm decide which model is the best based on the **root mean squared error metric** (RMSE). For us, the best model is always the model that has the best fit for the closest distances. A model with low RMSE may be \"great\" with distances from 10 to 18... which oscillate around the sill of our data, and point pairs at those distances useless for weighting (weight is constant from some distance)." ] }, { "cell_type": "markdown", "id": "58144b62-dc21-4a9d-adc5-36ffa35d9bbe", "metadata": {}, "source": [ "## Chapter 4: Compare variogram models\n", "\n", "The last part is a comparison of variogram models. We will still use our \"own eyes\" to decide which model is the best, but this time we will plot all of them in a single plot." ] }, { "cell_type": "code", "id": "58a7316a-60bf-450e-bd16-37c0d51f96c3", "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:56:47.261404Z", "start_time": "2025-12-21T14:56:47.036838Z" } }, "source": [ "# Plot ALL models\n", "\n", "_lags = circular.lags\n", "\n", "plt.figure(figsize=(20, 8))\n", "plt.scatter(_lags, experimental.semivariances, color='#762a83')\n", "plt.plot(_lags, circular.yhat, ':8', color='#9970ab', mec='black')\n", "plt.plot(_lags, cubic.yhat, ':s', color='#c2a5cf', mec='black')\n", "plt.plot(_lags, exponential.yhat, ':p', color='#e7d4e8', mec='black')\n", "plt.plot(_lags, gaussian.yhat, ':+', color='#d9f0d3', mec='black')\n", "plt.plot(_lags, linear.yhat, ':2', color='#a6dba0', mec='black')\n", "plt.plot(_lags, power.yhat, ':*', color='#5aae61', mec='black')\n", "plt.plot(_lags, spherical.yhat, ':o', color='#1b7837', mec='black')\n", "plt.title('Comparison of theoretical semivariance models')\n", "plt.legend(['Experimental Semivariance',\n", " 'Circular',\n", " 'Cubic',\n", " 'Exponential',\n", " 'Gaussian',\n", " 'Linear',\n", " 'Power',\n", " 'Spherical'])\n", "plt.xlabel('Distance')\n", "plt.ylabel('Semivariance')\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
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Fgs7nnXeeKjco2/Tss89WZcP21beFiIiIiJLYU4WIiIhojJBBS6nLL8GDA7G3puZ7s6870/c1vX8D+sGQ/gDSe0B6GUgzd7mTW+7al4HAvTWETr8Tfn/k7nK5Q156lMid+tLP4f/+7//UHfypfg0HYjB36Y8kH7aNUne6S9+TVJ+N/voH3war/zZKvZZsg331MJFAxaHwt7/9TTUilz4x3/nOd9TAu6wb6WOS3uh8sGSgXHriSCBQegRJJoXstxKgkIHs1HuVQEL/viYp/XvlDPXnTDJSfvzjH6vsBslikx4z0lMmPTAhmR/yGZMMKslGk0CBHBekb8nesiAG87mTgIwM6stxSXomSb8TCVZI5osEo/o/71AdR+R5ZbtKH5S92VdPnsN9rBusj/J5kW0ofVykB4/023r66adVxpP0f5Jph+pzRkRERJTtGFQhIiIiGkOkibPcFf/mm29mlOram/Hjx6sBO7kTOnUXdarRsgyIys+HkryWZIekslOENCIXqQbzMigtA68y+Cd3zKfIgO9HJQEaKe8lD7lbXRqZy2CzBFVS71UGyNPv4E9NG6p1kf466Vk7UhJMmmlL8/qDMdjA2L6klkUCWB+2DPIeZPn7S5Vz+rB1lWomLoPtH/ZaB/K+5Hk/LKAoA8zyXiWYlv7cqWycgyEloSRwIQ/ZjtLAXPara665Rg3gSyBDGp8f7Lb9qGS5JMAjn62SkhJVJlCCJf3XiwR9ZLA9JRgMquPAwXrppZdUuSpZ1xIkTZH9/GDJNpYyflLKal/N5mUeKbN35JFHDjroOpQG+/mQf2V/lYBM+r7Y/3cP5POyL5L5Jw/ZLyU4/ZnPfAYPPPBARokzIiIiIurD8l9EREREY8h3v/tdNcgrg2USHOlP7sb/7W9/q77+2Mc+pv79zW9+kzHPr371K62fyFC79dZbta9lMFG+l8FR6Q2QuhNcBhhlEDpFSoM9+uijB/2a8lz9y+PIneyS1ZMqgyM9NWTaH/7wh4zSOE8++SQ++OCDIVsXMigqpb5+97vfZdzdfvfdd6tlPNjXkW0uDnYQXN77cccdhzvvvBONjY0Dfi5lrFJkv1m5cqUK3KVIfwcJ5klw7MN63EhvCxko/sUvfqHKMe3vtQ7kfUmZo3Xr1qlspP5S6zqVaZC+7mWQPv29HAgJGqSTbSvvX55fBv7l9WS5JKCxt4BP+ns9VCRgOnv2bFX2Sx4SXEwPcghZzv7ZFr///e8zPocHam/rWoJOkslzsGRdSsZN+nEkJfU6kpUmy/3DH/5wwDzSf+ajBIoGY7CfD5lPejxJQCtFes3IfAf7eelPypL1366pbBeWACMiIiLaN2aqEBEREY0hMvgmdyLL3ekymCpNr6XPhAxmvvHGG6qJs5Q/SvVbkLvTZRAvVapHBgOl54SURzr++OOHdNkkA0VKJMlrSpNtCVhIL4vvf//7WkkeCSpIUOfUU09VjZklo+S2225Tpafee++9g3pd6TEjvRCkIbS8Zyl5I3eyS3Px1J35EtiRcmDS50LWg5RHkqCUBKBkIPSqq64aknUg71MyGCRzQN6jlDqTO9NloHnx4sUZjboPhAy8iq9//euqfJcMaPfPRvgwsp6lubYMwEsjcsnokHUgg8PSjF0CFuLqq6/G/fffrzJ85PWk743sM5KBIMED6Z2zP/Jz6QUhvz9z5ky1zisqKlBfX6+aiMsd+VKqKP19XXvtter9yHaSpu+pYEs6KeclA9QXXHCBKnEkvyuN6KXclQTLZNtLJpdkTkifD9nXZJnlZzLQvbcB6w+zYsUK1YNIsiIkC0QCcDLgL88tGSriZz/7mXpfss/LepXXkuWSMliyH8rXh5ocD6QkmXwGv/CFLwzYRrJe7rvvPlX2S5ZPtrksm/ScOVjLly9XPVHk8y77iQRL5TU+SqksOZ7de++9+Na3vqWOVVLSTwIWsqySgSY9Q+Tze9lll6mSbtLkXbaR7DeSkSfHP/lMpzeHH2qD/XzIviD7iryn1atXq2CXrB9pVn+wn5f+5HXl2CL7u/xtkGPhXXfdpX4nFVQnIiIior1IEBEREdGYs2XLlsSXvvSlRHV1dcJkMiWcTmfiyCOPTPz+979PBINBbb5IJJK46aabEhMmTEgYjcZEZWVl4pprrsmYR4wfPz5x+umnD3gdOd284oorMqbt3LlTTb/lllu0aRdffHHCbrcntm/fnlixYkXCZrMlSkpKEjfccEMiFotl/P7dd9+dmDx5csJsNiemTZuW+Mtf/qLm639qu7fXTv+Z/I4IhUKJ73znO4m5c+eq9SDLIV/ffvvtA37vwQcfTMyfP1+9dn5+fuIzn/lMYs+ePRnzpN5Lf3tbxn259dZb1XuTdS7r4atf/Wqis7Nzr8/X2tr6oc8XjUYTX/va1xJFRUWJnJwcbTn2ti32to5SZPtcdNFFidLSUrVsFRUViTPOOCPx8MMPD5jv/PPPT+Tm5iYsFktiyZIliccffzxjnhdffFG9xj//+c+9LvO7776bOPfccxMFBQVqfcs+9olPfCLx/PPPZ8z3wx/+UC2HTqdTzyfvScj8si3Stbe3J6688ko1v+z348aNU/O0tbWpn8fj8cRPfvIT9bvymrKtZbllHpn2YeunvzvvvDNxzDHHaO+hpqZG7WsejydjvubmZrWvyudL1qus3xNPPDHxxz/+8UPXl+z/Mv2dd9750P1jb+tEbN26Vc0rj9dee23Az2Xf+/znP58oLCxMOByOxCmnnJLYtGnTgOfb17Kk/yy1fcTrr7+eWLp0acJqtSbKy8sT3/3udxNPP/20mk/eb8qxxx6bmDlz5oDn3Nt28fv9iWuvvVY7Zsm6lH1R9sl0sm4XLlyoXls+97Nnz1av39DQMOB1BvP53tcy7u3YOJjPh9i9e3firLPOUsdDWfff+MY3Ek899dSA9TPYz0v/bbBmzZrEhRdemKiqqlK/U1xcrD7Pq1at2u86ICIiIhrrcuT/9hZsISIiIiI6XCQ7RrIIDiYbgIiIiIiIiOhwYU8VIiIiIiIiIiIiIiKiQWBQhYiIiIiIiIiIiIiIaBAYVCEiIiIiIiIiIiIiIhoE9lQhIiIiIiIiIiIiIiIaBGaqEBERERERERERERERDQKDKkRERERERERERERERINgwBgTj8fR0NAAp9OJnJyc4V4cIiIiIiIiIiIiIiIaRtIlpbu7G+Xl5dDp9p+LMuaCKhJQqaysHO7FICIiIiIiIiIiIiKiEaSurg7jxo3b7zxjLqgiGSqpleNyuYZ7cYiIiIiIiIiIiIiIaBh5vV6VjJGKH+zPmAuqpEp+SUCFQRUiIiIiIiIiIiIiIhKDaRnCRvVERERERERERERERESDwKAKERERERERERERERHRIDCoQkRERERERERERERENAgMqhAREREREREREREREQ0CgypERERERERERERERESDwKAKERERERERERERERHRIDCoQkRERERERERERERENAgMqhAREREREREREREREQ0CgypERERERERERERERESDwKAKERERERERERERERHRIDCoQkRERERERERERERENAgMqhAREREREREREREREQ0CgypERERERERERERERESDwKAKERERERERERERERHRIDCoQkRERERERERERERENAgMqhAREREREREREREREQ0CgypERERERERERERERESDwKAKERERERERERERERHRIDCoQkRERERERERERERENAgMqhAREREREREREREREQ2CYTAzEREREREREdHIEI/FsXN1Lbpbe+AscmDCwiro9LxnkrIH92EiIspmDKoQERERERERZYn1z27CYz99Gp7mbm2au8SJs645BbNOnjasy0Y0GNyHiYgo2/E2ACIiIiIiIqIsGYy+76qHMwajhaelW02XnxONZNyHabRkWm1fuQtr/7de/SvfE9HYwkwVIiIiIiIiohFOBu3k7n4k9vJDmZYDPPazZzDjhCkso0QjEvdhGg2YaUVEgn+liIiIiIiIiEY46T/R/+7+DAnA0+RV8xGNRNyHKdsx04qIUhhUISIiIiIiIhrhpKH3UM5HdLhxH6ZRnWmFZKYVS4ERjQ0MqhARERERERGNcM4ix5DOR3S4cR+mbMZMKxot2BNoaLCnChEREREREdEIN2FhlarbL2Vm9nqndI7U9Xep+YhGIu7DlM2YaUWjAXsCDR1mqhARERERERGNcNK4WwY9lJx+P+z9/qyrV7DBN41Y3IcpmzHTirIdewINLf6lIiIiIiIiIsoCchfp5359PtzFzozpcne/TOddpjTScR+mbM+0GhAQTM+0KmWmFY1M7Ak09Fj+i4iIiIiIxhy5aJS651KmQ+4qlUEQ3h1N2UAGnWecMIX7L2Ut7sOUzZlWcke/CqykD04z04pGUU+gmiXVh3PRshaDKkRERERENKawnjRlOxm046AHZTPuw5TNmVYDzyFcKqDCcwgaqdgTaOgxqEJERERERGOunnT/8gepetIsP0NERET7wkwrykbsCTT0GFQhIiIiogNSW1uLtrY2bN68GevXr0dXVxdyc3Mxa9YsTJ06FYWFhaiqYj1pGpklv+694QE0+1vQEWpFW6gFwVgQFr0FheZi5FuKcO+ND+BnJ1zPwREakXj8pWzHfZhG5f67nfsvjWwS+Eu4o2hubkFHcO/nwCWlxewJdAByEonE3lrUjFperxdutxsejwcul2u4F4eIiIgo6y4mp0+bDn/Av/d60gnAZrXhg00f8KKSRpxXH3sdJ557AiKx8D73X6PehOcfeQFHn3XkMC4p0UA8/lK24z5M2Yz7L2X7/jt1yjQEQ4F97r8WsxWbt2wa0/uv9wDiBsxUISIiGsa7nPaFdznRSCX7rbqYBGCpyYNzWRkMRTZEW/3ofrMRwW2d6ucyH/dhGmn27KxPBlT2s//Kz2U+opGGx1/KdtyHKZtx/6VsJvulCqjsZ/+Vn3P/HTwGVYiIiIbzLqd94F1OdCioBOXk/6DTyS1JSbFIDPF4AnqDTit5JGWSwsGounHJbDdp827asFndzSQn4/nnTUZOTvJ5TBVO5J/nQMe/tiK824MXN7yK+mgbbAkr5lfNQYc5GUSsa21Ce1MnZuRORfGkfHSFuuAPhrC7YQ8sUTMWVs1Dp6UdCSRQ396K1oY2TM+dhLJJxegIdSIQDmP3nj0wRgxYWDkfXnsn4ok4mjpb0bSnDZPdEzFuUik6w50IhSPYVV8HXUiPhRXz4Hd3IxqPormrHU11rahxjce4iRXoinUgHI5iZ0MdEICaN5TnRyQWQVt3F+p3N6HaWYXqCRXojHciHIlid+MexHxxLCybh0hBCOFYKDlvbTPG2yswcWIVOuIdiMZi2FW/B+GeKBaWzUWiKIpgNIj2bi/q65pQYS3BpIkT0JnoQCQWw+6meoS6wlhYOge6UsAf8aOzpxt76hpRainClPE16NQln7euuQE9HQEsKJ0LU5kOvogPXb7kvEWmAkyvnoIOXbuad09zEzzt3VhYOheWCiN6wj3w+n2orWtAviEXM6unoVPfjlgshvrWFnS0dmFB8Vw4qizwhrzoCfiwe08j3DlOzKmagQ5TO2LxOOpbm9HR0oU5+bOQV+OAJ+hBTzCgntcBG+aNn40OU5va9/a0NqO9uROz8qahsCZPbXtfMIja+npYYxYsHD8P7eZWtZ/Ut7WgtbEd03OnoHRSITpl24dC2FVfD3PUqPaTLmsnEmnbfoq7BuU1JeiKyLYPY+eePTBEDFg0bh66HR7EEjGsC26A3mKAcZxzn/tvaLcH2yPb8eau1WjY3YQJriqMr6lAZzS57Xc11CHuBxaWz0MkP4BwLIy27k7U17ag2lGB6gmVaj+JRGNqv47Iti+fh1hhGKFoCO3dHuypa8I4WxkmTZBt345INI7dTXsQ9obV9kRxTO0nnT0e1NU1o9xSjCnVE9GR06GeV7a9rzOARWVzoS/NUftJl68He+oaUGwqwtQJNejMkf0kjrrmRnR39KjntZQb1Lb3+HpQt6cRBYY8zKyeig7Z9vE49rQ0oqu1GwtL5sI6zoTucLfaT+r2NCBX58bs6unoMLQjGo+hQfaTli7MLZyF3GoHPCHZ9kHsrtuj9pPZ42eg09iuPp91Lc3obOnC7PwZKKhxoyso2z6A2j0NPEYcwDHitQ/egN5sgLHSsc/9N7ijC29teRu2SgePEQdxjJBt31jXgsmuiRhXU6o+92o/adgDXVCHhRVz4Xf7EI1H0Ort4jHiAI8Rcm7wocfgncl9WF9q4jGC5xEj6hgh+6XOpIepat/7b3BHJ1ZueQeuajePETyPGFHHCNl/c4w6mMe79r3/bu9Upe0WLFhwCK9IRw8GVYiIiIbpLqcfXP5jjC+fMODnuxt24ke3Xztq7hJJxBPqQkhO3HJ6B/Ll+2g4BhnjN1n6TkcioaiabjDpYTQbtN/3eQIqEmDPs2ongIGeEEK+CMw2I6xOszZvR6NXzZtX7tICB3LR4OsKqPmchXbt9Rq3ykUaUDIxD3qDXk3ztvngaemB3W1BfoVbm7f2/SYVaKiYXqwtW1dzD9rquuDIs6K0pkCbd/uqPep9VM8t0wISnU3daNzSBke+FVWzSrV5N7+xGyF/BDWLx6nXVPM2dmPXugY48m2YvKRSm3fDyzvg9wQxddl4uIqS76Oz0YvNb9aqZZh1fI0273vPbUN3uw/Tj6rW3ocs7/oXtsPmtmDh6X2NuDe8shOe5h5MXT4exdV5iMaieHfLRqx8ZT2WlM7D4rNnqPnue/sR/PSZ29T6lbubUtsiRb53LCtD27ZO/POd/2LPxvuxfMpsfKPhCtyO36l5XntnE2KJOH6+/DswGnR4dMt/oQ/Y8cL772BRzTR8p+6b+KPpdnVBsvLd7QhEQvjh8m8gz+DEP7c8AlPIiWfXvY051TW4Zte3ca/zbnUhuHZ9LTz+Hvxg+VdQoSvBA9v/CUvYhafXvoVp46pw7a7v4l9596Mz2IkPNjWhxduBby/7PKZgAv6+6wFYo248teZN1JSV4/rd38OTRY+isacZ27e1Y09HM752xKcxNzYT99X9HdaYC0+tfguVhcW4ufxqvFjyDHZ7alG3y4sdLXvw5cXnY2lkEe5puBeWuANPr1qJktw8/KTqWrxV/gq2dGxD8x4/NjXswsULz8TxwWPwl5a/wBy34ZlVq5DncOKWyddhbcU7eL9lA9obw1hftw2fWnAKTutZgT933A1j3ILnVq2B3WLBb2beiE0d72NV47vobklgza4PcM6843Gu52z8yftH6OJGvLhqHYwGA26ffzN2dm/D63VvIdChw8pt63H67CNxYfsncFfgTiRiwCurN6pt9cdlP0ZjcA9e2PUyIl1GvLFlHU6asRhfaLkYf4jcjlgsjtdWb1Lz/n7Z9ehJePDU9meR6LbglQ/W4Jhp83BF42W4PfF79Zl/5Z0P1Ly/XHY1oI/hsS3/g85vx4vr38HSyTPxrXo3btP9Vs3z5uotCMei+Mnyb8FhsOBfWx6FMejAc++txPyJk/G93d/Cn61/RCgWwur3dqEn6McNy69Aib4AD257GOawE8+sfRszx0/AtTu/g/tz71WDOq99sBaxYBT5+9l/5U69lwKv4D8Pvo7GrjZctfQizEhMwd92/0Pb9uOLS3FT8ffwbMkT2NNdj107OrG7rRGXL/kkFkTm4r76v8ESc+Lp1W+jPL8QPxp3NV4rexHbO3eivrYH25pqcemij+Po0DL8tekeWOJ2PL3qHRS63Pi/iT/AO+Vv4oO2TWitD2Jj/Q58duHHcLL/BPy57c8wxa14dtVquGx2/HLq9Vg/7l2sbX4PnuYY1u7ejAvmn4Qzuz+Gu7v+BEPMhOdXr4XVZMLv5tyErV2b8Hb9O/C1Aat2bMRZc47BJ7rOw109dyInpsdLq9+HXqfDHYt/hDrfTrxS+zpCnXq8tfV9nDprKS5q/wzuDN6BWCyB11Ynt+ftS29GR7QFz+54AXGvGa9uehfHT1+ILzddij/EblMB21dXJef9zfJrEckJ4vGtTwI+K17esJrHiAM4RtS/34BYSPbf8v3uv49sfQwrje/zGHEQx4j3N9ajo8eDq5d9ERN0lfjHjge1bT+5fByu3/Vd/KfgYbT627BlSwuPEQd4jNj69q5BHYNlH349up7HCJ5HjKhjxNatmxEPx+D8kGPwfzc/gVfNb/MYwfOIQR4j2rCno0UdI+bEZuJv6hjhxFOr39aOES+UPI1aTx3qdnmwo6VeHSOOiCzEvQ33wRyz4ZnVq7RjxJvlL2Nrx3Y07fFhc8NudYw4Lni0Oq4mIvEP3X+lVxANDoMqREREw0QCKlMnTN/nzwPdQexc2wCzzYTyKYXa9LqNzQj2hNU0e65VTZOAwZ6NLSrAUD2vXJt319oG+LqCGDejGO5ihzbv9lX1MNmMmLZ8fEYgwNPqw/jZpSgYlxyE93mC2PjyDpgsRsxdMVmbd8vbtWjf48GEeeVaMMHvDeLdJzdDb9Rj6bmzMuZt2dmJCfPLMW56sZoWDkSw8tGNKshy1Kfm9i3vukY0bWtH1exStRwiGonh3Se3qK/VvL3ngBKgqN/Uqp5TnlvIBdfGl3eqr5edP1vdTSZa67pQt74ZZZMLM4Iq21btUQECeb+poIoEVHatbUTJxPyMoMqeTS2IReIomVigBVX8XQG1HIVVuRlBFQm0hANRFYAx975cyBdW60wuDNJJEEe2ZzQc1abJ13LnoGSOpJPnkHlj0bg2TQJJkWBUBaTSxeNxxGMJ7fXk+zZ/O3YGajHTPUWb75F3n8L96/6L2aYZmIrk/iAXF+fc+2X19b3u5IWsnGw3edvQ5G1S0yVdfG+MhcnpiZ4o8ktccOhtMJoMKDIk9+EiVx7CsQhyojrYjTYU2QoRgwH5DhecRjsMZgOKrIXqQqfI1YGekB+6qA42g1XNixxz2rx6FNoKEIjYUOjsVhdx+qgBVmNyXp3ejAKHCy6zA0ajzJsPg06PVmdQPb8haoDFaFHz6iOW5LwmBwwGPfKt+eouuk5HFP5wAMa4SZvXELWqed0WB/R6PfIsuepiy2fPQZfDC1PCBLPRnHzeqCyDG7lWJ/R6HfKsuWp62OZR78MMM0xGU3LemEnN67baocvRIdfsVtPj9h41ryVhgdloVNNyYgYUOnLVRa4uoYOrd169PaTmtcECU++8iOvUvPL6SOjgNDnVdG8gmpw3xwaz2YSinELEowkUOfPUHduI5cBpcqh5feGEmteus8FoNqLIWKjujEvNmxPTwWGyq3mD0RxtXoNse32h2of6nle2fXJdRhPJbS/7iZrXlNxPCl2tCEZC0MX02n6SyDEmt70hue1lmgyGFDk9MBkMGds+R5fcT1yyn5j0KLTmw6w3wRTMGdT+G+uIomBSAULRMIwx2U+S29PQu5/kyrY3yn6Sp5bB64ijO+jr3U96543KvO7kvAaD2k9kesCuS277hLlvP4n17Sdq21uS2zNq7+6dV7Z9cj/R9e4nDotVzeu2uJLv2eZX81qRvp/o1bY3GQ3IgQ5uc3Jeoy2cnDfHCqPRkNxPYjlqXrnOzonnwGlO7ifdwZi2nxhNRhTpZNvHM/YTR+9+Eoggue3lcy+fZRSqY482bzRH208icb227XmMGNwxotZTO+j9V56Hx4gDP0YUOnyqsLxBPveG3m0U7t2e5uRnWba9aHfIXeM8RhzIMWKLb/ug9+HcGS4eI3geMaKOEZs6ooPafyOdEfUcY/4Y0bufdEsg9UOOEbKNkp/FzPOIQhQMOI+wGS1q3lAMGceIQkOB2k8KXXkqA0SOEXIcL1CfRV3GMaLAkqc+wzKvr/cYYTaY1PaIQZ9xjMizuGExyDrzascI+WzkW3PVvOnHCLfFKW8e+Q6/dowwmYzqOeIhfcYxwm6yq+2Uaw/BHw6qbS/bSKYlwvqMY4TDZFPTvbbk8VYdI0zJeRHRZRwj7Carmu635mQcI3Q9GNT+29XVtdef00BsVE9ERHSYrVmzBgsXLsRdP/rHXoMqm3d+gC/94NN47n8vwdTlhrPQhnkr+gbB331qC3o6/Jh57ARt0F8yG9a/uB32XAsWfKwvA+G957bC0+LDtCPHo2h8nprmbfVh3bNbYXGYsPisZAaCWP/SDnQ2eDH5iEotQNDTGVCBEqPFkBEo+eC1XWir7ULNwgqUTy1S0wLeEFY9/gH0Rh2WXzBHm3fLW7Vo3tGB6nllqJxRoqZJZsbKRzeoAMnRF87T5t2xuh5N29tVECiVzSFBldWPy91JOVh81nStPJUEkZp2tKN0YoGaPxVgWPvMVnUyP+uEGhiMyUCJvH7Lrg61vip6lzf1PuRUSLJBUoGSjgavem+SCZIeKJEAlwQpKmcWqyCTWpdtPnTUe9V6T61f0bC1DfFoHMUT8rR5Jegk2SCSuZJf3ncOogItsTjcJU4ta0eCTrKN5aTflRYE6u7wq+eV15MLR/W8gSDqW5oxLr9Uy9h5ZuMreGr9K1g2fgHOXXiqCs70hHyYduOJ6ucbrn0WbodTff2LZ+/Cb164G5+ceyZ+cPzXkFfiUutk6c/PQaQjis+Ez8eXr7sAznw7NjRswY/u/SEeuOZvKPrcDJUu3l+ovhtt923E97//ffz4xz8e8HOi4XTttdfiJz/5CfdfykrcfynbcR+msbD/Xnf9dbjuhh9Al6OHPid5LSJlxkLxkPraok/eFCekpFMkEYExxwiTPnkeL6WmfJFuVZ7KaXT3ZelH/QjFAjDrLbAaktcHcs7eEWpV8+abi1SQRMjv+6I9sBps6jlSmvx71LzF1nJt2bojHnjCnbAbHMgzp93I17MTccRQbquCUZfMvPeGO9EebIHN6ESJte9Gvp3dW1QQocoxUS2f8IQ70BxogN3gRIW970a+nd7N6j1X2ieq5Us+bxeaAntg1dtR6eir5LCreyvC8RDG2athMyRvEOyJeNHgr1XrscrRl6Vf27MdwVhALa/DmLzW8kd7sMe3CyadGdXOyRnvLRDzodQ6Di5TrrZ+63w7YMgxYqJrqjZvvW83fNFu9X7dpmRQPRQLYnfPNrUOa1x91/ON/jq1Posspdq6jMTDav3kIAeT3TPTtkU9vJFOFJiLUWBJXsvKOtzRnczemuLuu/ZuDTSp9SnPmZpX9hNZP7J/jHdM0rZ9Z6gd3kgXXEa3tgyyn9z599vx1c9dyePvh2CjeiIiohFKsgZkEH0wLHYjSkuKVPAjXemkfIT9Tlh6B9CF1WVW2RoS/EgnmRLFE6JwFPTdkSID7xJkkbuj0klmSMWUQthyLWnzmjD35MnI0WemCMtrVc0qgcmaDBgIswRpzp6hAhrpahZVYOKCCujSnsNkNeCoC/syVFImLqxQj3QSGDninL6TyhQJpKSCKSmS+TL/1L4AVIpkncijPymN1Z8EPNKDHtp7TssASpGAR3rQI6V8ct8FSYrNZVGP/lJZQelkvVqLzbAa++Z/fftqvLL1bcyvnIlTi49V0+TOqqk3n6C+3nTj87IV1Nfv1W/GQ+8+ru6iuuCIj6lpDrMdLotDPWeHzwOHxa6CLSdNOxKxljh8K8NY6VuPU76wXJ2cv/29R/H4bS8jbomqTBgxs3wKTlt6Ap4o+A+632hA/vlTMtLH5YS9540GFSybNWvgNiMabmq/zAH3X8pK3H8p23EfpuEg+1YsEVXBhFRwQPij0h8pDIvepgU0ZAC8I9QGHXJQZC3T5m0JNOL8y87GL3/zqw/df1ecf6IaRC+0lKhAh4gmYmrQX2aYkjaw3hluV4PlamBd33uTGBJoDNSpr9MDIhJM6Ay3Ic9UqAVVZO72UIv6Kj0gEoj50RVO9g1Jfw4ZbBeFllItqCLvWYIPhpzM60gJ4MQRT/Zk7CUD+RIQicX7Zcgn4kjIvKpzY0pv2eeMaarWVLLBY9p0CQjI8qQCAymp7SUBiRR9jiG5zXR918JCAjLyM3mkz+sy5sKg67tmTa1XCcqktnvytYwoNJeoYFi6XFM+HEanev4Ueb4yWyV0yFxe2d4SeDGl7WeyXiXokf4eRJG1VO0j6e9Z1sFkl9z0mKNVCkjNK4908nvpwZ+UPHOBeqST53Hr83n8HWIMqhARER1G0hBcMiwGw+q0oGZBZoBBlE0aOGBvsZu00lrpCtLKV6VI4CU9qyLFmRZ4SZGSWKneHf1frz/pX7K36amyWun613Edq9bWbcTKXWsxpWQijpuyVE0LRIJY+JMz4A32qECJBEPEWzvX4LaX78Vnlnwcp85MBlXsZhvsJptqcNnu69LmPXrSYpWevqByVsYJ+frrnsFTd72OZ//vLZz+1WNQMbkY8ypnoHRZMf675mXEozFt2STF3nVuDA2+ehgKF6mLpYc2/Atrejaip9uPeHsM7Q9vgXN5uUoXj7T51Ul6aHvyYm3q1IEn+UTDTe2XCSC4vYv7L2Ud7r+U7bgP0/7IuWY0HlFfpw9290Sk+XcEdqNDG2SXTIHOUJsaNE8fbJZMgUDUpzIxUtkKwZhkIOxUvzvB2Xfzlfx+KgMhPUtEghwyuJ0eVJGgjN1tQ2lZMXZvr93v/puXm9s7gN53vSPfy7L2H1iXAXeTzqIFOFLzWvVyXZajAhKp3zHrzXAYXOrfPjlwG/NUoCL9mW29QZf0rBghGRRCnzaQL5kkeqssR+Z1nAQNJOxh0PUNHcs6NeutGcsrKu3J7JL04IUELhwGJ3L6BUqqHX1N0tOfN7W90qVnuKRIdotkxPTXP+ggJGum1DZuwPRc88Cb7WTZ8y19FQ1S7MaBWR3y/tODVemv15+8/71NV+uw3yVxcr0cmutkHn+HHoMqREREh5CUdZLyW3llyZMxKTFVMmngSRyNHltbdmLdng9QlV+OJdXJ0mbhaAQn/OZCtHS3Y/U1j8NpSV7ovLD5Dfzq+T/h04vP1oIqkkkiF3Si2dsGR29Qa0n1XHx+2QU4YsL8jNd7++pHVR1fna7vguWICfMw2TIBr/5zDR793ws456pk2S+Zx2Q2qhNqaXAvQRVRPD4fn//p2VpJsdSJvgRk5L/mQBPicahmk56IFzVHTcbWFzYhtKNLOwFXeq8BbFYbCgsHBv+Ihpvsl7J/+gN+7r+Udbj/UrbjPjw6yI03kt0gw/jpg8VSwkmCDzI4ngp+SEklya6Q71MD+kJKMiVLNVVqZZ0kc6TBvxtmnQXjnZO0eTtDrSrzokxXqT2vLINkXajnRd/zyvRoIprsv9Gr/6B+iiy7nOfqc4wZQQ7JNugfNJBpoc4IotLIQ4I6+9h/rRYrnIk8VLmrMn5fAhM1rr4SzSlSyilVzik9A6FyL0EDlylPPfoPwpfYBt6EJ+s0tV7TpWezpK+HvQ367y2YIIGH/lkf/YNg6e8De1n3vLluePD4O/QYVCEiIjpEpNn46ic2q/4Yi06frkp0CekBInY3JBuq97ev6TR8Grqasal5O4oc+ZhdkbwgisSiOO/Or6Cluw3PfONvqrSWePz9F/DL5+7ChYvP0oIqJoMR7T2dqlGpzJ8KqswdNx1nz12BBVWZadZPfe1e5Ntz4Ux1uVfZJ0vUo79cqwvbVtdi27t1mLSgCpMWVKrpFrsZzTvb1UlyOBjRerssOWMWlp83DzanJaNsWkuwCVvbNmN56TEq/V3ML1yE+VgElyl5J9Z3ll+FPd49+OlfbkRbWxs2b96M9evXq4aGubm5Kl1c7m6Sk/GqqsyLSaKRQPbLDzZ9wP2XshL3X8p23IcPrVSZptSgtfRnkOCHDG6nD5p3hTpU8EPKFKWyEKT/RleoTWUhSEmilN3d23p7WkzQ+l9Iv4699b+Q3h4yr0lvSQt+RFXZKnnedHIDUTwRQ6z3RiIhy6n+6zcQL6Wukv1J+oYwJatCljN9mpDAjayH1LmskCDNZNfMAYP56e8zRa8z7HW6rL/qiol44/U3tP33ueeew5///GdceumlOOmkk7j/UlYdf9966y288cYbWL58OZYuXcr99yCwUT0REdEQSi+1JDa8tEM1e5+yrAp5pcm7fWprazF92nR1l8i+yF0ictLDk5pDp9Pvwe72ejjMNkwqTvZWicVj+MJ931UZJQ988VYtUPKb5/+MXzz3R3xq0Zn4xXnXas8x/cYT0R3y4aWrHtCe44n1L+K+tx/B8VOW4ctHf1qbV7JX5PnG5ZXBqD+4+1pi0Rg2vbULbXs6cfQnFqqSa2Ll4+9j7fObMW3pBBzzyYXa/NvfrUNBuRvuIqcKnOyLXNj+r/ZRVV5hXsEiTM9L1nruCnrgDXlR5U4GaoiIiIjo4CWzgOPIka4dvdcMEviQUq4S4EgPfnQEWxFDLCNzQppgd4XaVRZCeobDdu8mFcCQ0kqprAGZryXYqEpGldv7ril2eDcjmoigyl4Di8Ga0ShcykZJAGV/jcKTQZV6VaIq/Xlbg02qTFe+uVALosh7k/NLyW5wppV3kgbtyR4nxgE9LLLFmjVrsHDhQqxevRoLFiwY7sUhoiHARvVERETDUOarfnMrWnZ2Yt6KyVoT+MlHVMJg0kOn1+31LpF94V0iBycUDatMELnLrNydvNCMx+P4zr9/imZvK26/8EdaoOTet/6FW57NDJTodXqs3LVO9TOR+VPzVheMw4yyySh1Zabn/+HTP1FBmYq8vrIDH5t1vHr0J1kpB8LvDaJhW4sqGTd+ZrmalqPTqQBKJBTF7GMmI788mUFSPadC9eApn5RZB7hmfuU+gygNvj2osFeqC3q5I3B2/jx0htpR7UxeSLf4WvCT136hLvJvPPb7KLYP7NlDREREdLAaGxtx55134rLLLkNZWV//ipES+IgnpDSUXgt+SCBAAgyShZEKfsi8baFmJBJx1fw7lWUhfTm6wp1wGlxanwaZd6t3g/p6onOa1hi8O+xRzyENtdP7P0jmhzQKl54Zen3y2kIahEsprP4ZGqlbZ2T+FDkflqCFnN+mk14QccQyMkIsBhtKrBUZGR7pPS3SX0/KQtUYB5aySi/vlSLrqn/T7H2Vi8o2ss/ecMMNI2rfJaLDh0EVIiKiISAXW03b2hHsCaN5ZyfKpyRrkZqsA2vOCgmYMGgyeL6QH+FYBHk2t3ZR+tOnb1c9R3541v/Tgh93vvp3/PyZO/HJRWfil72BEukj8tT6l+AJdqPJ0xcoKXeXoNRVBJspsxzBz875nuprkh5A+fi8FerR37FTjhiS9xf0hdFa14HiqnyYbclyCbUbG/HKg6tVoCQVVJHMlBlHToTeoM/Yt+T35DEYsu6eqnscnnAnji07EeX25MV7tXOieqQ4TE5YjVZ1wS2DCkRERERDHVS56aabcNZZZx3UwLSc00jvDAmApMpNCenVIQGQ9F4RMl97UIIfiYweFBK4kCwNtylP6zchgYnt3g/U15NcM7RG4Z5Ip2punmsqQHFaE3OZJvLNxVqgQkpvhWIBVXoq/XpBMlRUwCYt+CEZKiadeUCvClkmOQNLD35ItkiZtXLAvFWOGrWc6VkfEjzZWzPtvTX0lnJaJlNmo3KRvl4pk+yzN95443AvBhENEwZViIiIDoJkCrTu7kTZ5MLkBZIuBxMXVCAajqG4OrOBIO2dXNRKXxLpN5L6/s5X/6EyRK466Yta8OP2l+/DT566DZ9ceAZ+ef4P1DRZ539f+R94Al5cfuzntHmLnYUw6Y2Ix/uaU4qrT/0qjHqj6omScsHC09Wjv7PmnHxI37eU8PJ1BeAq7Gse+fhtL6Oj0YMVly5D9ewKrXl8UVWe+jfdEWfOOeDXlMyU1AW5rLtSW1lywCEe3ufv2IxWfHf5Ver33GaWTCUiIqKhJU3MhQRAUqR8VFuwRYUx0oMfrYEmVfpKSmHlmpPnRlLCamf3FhVMmOxOli5NZYnIzSMF5uLMXiLhDvVvcaJMa14upV8l+0ReN0X6eqRIBkqq2bYEGCx6a0Y2h5xX5Zl6rwfSSgBLMENeu39QYqJzinrtVKBmXw3IRVFa4CY9w2NvWR57ax5ORESHDoMqREREB1Hqa80TmxAORFUz8PyK5IBzwbiBd4IR8PCaJ9DkbcXFS8/XGrT/9c2H8cMnfo+z556EX51/nZomF6K3vnQPugJelWniKk0GHQrseVoPlHRfPeYz6nekUXvK+fNPU8GX/o0oP3fEuRgOEiiKxxLQG5IX4621HfjP716CzWXBp6//mDafBE6ikRhi0b67FvPL3DjnqhM/8utv7FyPLZ4PcNK4U7Va1rPy5mJO/nytOWnKS7tegc1ow5KKRer7PEvuR3p9IiIiGlskIyQaD6tyUamBfgmaSA8OSA+NbpvKUBFvvvO6+vftVW9pgYLCkgIEHd0q6FCCvqCKNDWXIIr0Ddl78KOvr6FJZ1FN1NMDDTKvBGTkX8n+yEnLBrEbHRnBD3meVIZK+jllrilfPQaV+bGP4IeU5CIiouzHozkREdEgswuk5JKQ/ihF1XnoauyGTr/v5t+j2Qub31CBkrPnnAy72aamPbT6cfzi2btw3JSl+Pm512jz3vS/36qAyInTjsT00klqmpTXCkVDaPa2ZzzvhYvPUqWmUsEXcdack3D67OPhMPdNE1ced/GA5TIcZAP4Q2HNMxvx/svbMP/kaZhz3BQ1zV3sVD1eIuEowoGIVsLrqAsWaE3nh5IMBLQGm1VWynbPVswrTDaxN+kHlnJY2/Qe7nr3rzDqDKhwlqPClSw5RkRERNSflLeSjBDJhk0PKjQH6tET8ar+GqlyWpKZEYwls1Lu/sO9uPnmmzOe65uXf0v7+vrrr8PXr7kyo+SVkOeSbI70LBEpdTXZNXPAzTTSw6N/Hw+Zp9BSsvfgBwYGP/q/PhERUbqRM/JAREQ0AiXiCex8twFN29sx/7SpsDqTF13jZ5dhwrzyARdxByoWi+HVV19Vd+xJXd6jjz5aa0R5uL1bt0H1KDlm8hKtz8jj7z+vskeWTliAG8/4pjbvN/95Mzp8XZhfOVMLlIgGTzPqu5oynleatkdiEVgMfResp848FksnzkexM/OC99rTrhywXFZTX9mGkUhKvr384Cq01XXivG+fDINJrzWVD/nDaK3t1OY1WYz49HUfgz3XmrHvDFVAxR/1Y6tnE2bmzdbuzpQG9OOdEzDekWxAvy9zSmZhUdl8FVApd7LhJhER0Vgjpa5CsRCiiSgcRqc2vTXYpPqOSKZHKlghrdzbQy3qawlWpM5rjDlG1dw9nTRkL7NVwpBjVE3pzz77bDV9zZo1+NKXvoS77roLCxYsUNPkfLjA0tfXLmVvWR8f9TyciIjoYDGoQkREtB/SK8XvDaqyTK27OlE1O3knXqqc00fxyCOP4BtXfRN7auu0aeOqKvHbX/8G5547NOWqdnfUqx4lsyumqewQ8fymN/DnNx7E3HHT8d0VX9Hmvfie/6cCJc98/T7MKJuspgXCQaxv2IJ8W2YZqCMnLoQvHMi4i++Eqcvx38vvVg3g0/3fOVcPWC631ake2UbKd21+Zzec+TbMPX6qmqY36tCwtRWB7iDa9nSidGLyrszJC6swbkox8ssz150jL5nZM9Sk7MWLDc/AG/bArDdjWm6ytniBpVA99kaCXVICTAYlZFt+44greGcmERHRKJTeX01IfxJfpBt2o0srDxpNxFDr266+zsgAUQ3ho6qsV3qgxGVMZo5IgCXVI6TQUjqgF4g8T6phurXchvLyzGxYCaikgipERETZgEEVIiKiNMGeEBo2t2H83FKt3Ff1vDJUTCtCbunQBQEkoHL++efDMikXRZ+bAUORDdFWP9rfalTTH3744X0GVnpCPrR421GRVwqzIVnG6Y0dq3H/O49hakkNrjzuIm3es27/Itp9nRmBkk5/F17e+ra6uE43u3yaavyePv3ISYtxz8W/RGVe5sXvHZ/+8YDlKnTkq8doUbepCU072jBt6QQ485Olx7ztPmx8bTsKx+VpQRUZKFh+zlyYbSYUVORmBE8OVQAlpUcGQwwOrTnqVPcM7Ozejry91PvurzvUg1++9VvMK52Dj089U0070ICK9BfauboW3a09cBY5MGFhlSqPR0RERIef9C4JxYIw6pMN1VNlunb3bEUsEcdk6RPSGygJRv3wRrpUVkkqqCKBEskmkRsu4ohDj+S5sNuUD6cpd0DfkdK0RvLp04mIiEY7BlWIiIjS7vRf/9IOBLwhmO1GVExLlh4Y6oFxKfklGSoSUMk7d3JfU80KJ/LOdaDzka345reuQtWCSfjv+8+jumAcPr/8Au33j/rF+Wjr6cTTX7sXM8uTvToaulrw77VP46iaRRlBlfH5FXCYbQhEQtq0JdXz8Kvzf4CJhVUZy/X3S38zYFnL3cXqMdr75UiJLn93EBPnjtOmr3nmAzTvbIe7yKkFVUonFGL2sZNRMiGzbFnN/MrDvtxvNb+mAijHlZ+Est5BjRrXZPUYzIDG2uZ12NqxHQ3dTTih+li4zMkBlcFa/+wmPPbTp+Fp7tamuUucOOuaUzDr5GkH8Y6IiIhoX83fRaqsljRtbw40qIDJOHu19ndfepx0htuRZyqAxWrVfif1+1LWS8pzCbvRqXqSWA19PevkeSa6kjeNfFjpraEgpb5uuOEG9S8REVE2YVCFiIjGtEBPCBa7SbvTf9y0YrTWdsFZkNkUfShJDxUp+SUZKv0Hv+V7+9Iy1N23Ef979kncvePfOLJmUUZQpdhZiGAkBG+wR5u2oHImfnDa1zC5uDrj+R67/E8DXr8qv1w9xmqPnK7WbhjNBjhyk8GyjkYvHvv9SzDbjJgwp0LbJhNmV8Bd5FClvlKkF8qyj8/FSGDqvVu0NdCiBVUO5O7Qo6uOhCfoVZkqBxNQue+qh6WgegZPS7ea/rlfn8/AChER0QHe3CMluaLxiGrKnvqb3hZsQkeoTQVKUmW1cqBT8/YPlJj0Flj1Nhj6ZZSMd0xSvdZ06MsmtRkc6jGcJJhy4403DusyEBERHQwGVYiIaMza8nYtmrd3YNbxE5FXlhxULqnJR+mkzCyEoSZN6YWU/NobY2FyuiNmxleP+awq6ZVO+pakyn6lTCyqwleKPnPIljmbg2ZWR9/dla/+cw02vbUTC1ZMx6LTenuOlLtV4CS/3I1IMAqTNTkwMef4ZBbQSNDsb8TGzvVYXLxUaxw7PW82JrgmIc88+JJr2zt3oso1DkZ98j2eMeW0A14WKfklGSr9AyqKTMsBHvvZM5hxwhSWAiMiIoz1QIlklUQSEZh1Fi1QIk3fu8IdqoRnelP2psAe9a8qtdUbKNHnJIdtUtkmQp6n2FKmMk30aaU73aY89ejPrE/21SMiIqKhwaAKERGNWameKZ4WnxZUORx1oK3uZNBEeqhIya/+Im1+9e/CafNw3HHHDfh5/4AK9Q1cpLZfNBzDQz97Gj2dflz0ozNhsScDKwUVbuiNekTDUe33ZOD/wus+hpFsY+f7aAo04gMVWFmmplkNVvUYrLf2rMTtq+7CkoqFuHzRlw+6Ib30UEkv+TVAAvA0edV8NUsyM6eIiIhGq2A0AF+0W5XKSjVlF9u7N6l/JzinaoESafoejPlV75L+zdyTDd8TAwIlEkBJl2s+tDcBERER0b4xqEJERGNCd4cfdeubMXFBOSy9mQuVM4pRMjHvkDcT7+/e3f+D3m1G95uNyD8v2WQ8PTDge6sRleOrcPTRRx/W5cpWuzc0YNUTG1AwLhfHXbhYTTOY9NAbdCprQsp7lU8qUtOnLpmA6csmjugMingijnpfnSrplRpsmZk/F84eF6bnzjro57UZbdrzy+NggyrSlH4o5yMiIhqpJDskEgurc7VUtoecq9X5diISD6PKUQOjLhkoCcR8aA+1wGF0aUEV+T1p/J6Qtu8q06S3n4nBCYPNCJMus1dJmW1gj7b+wRQiIiIafgyqEBHRmLBrbSO6mrphtBgweUnyglXKPKVKPR1O15/xTexavRVr//yyakovPVSk5JdkqEhAJbitC795+E/Q63kR3d/a5zZhz+ZmLD17DgrHJctb6HQ6tDd4EI30lcUQK76wHHa3FSZL3zaWYMtI90rjC2j012Nh4RJMyZ2uphVbS9Tjo5hTMgs3HHMNJuRVH3RARTiLHEM6HxER0XBnuIr2YIsKlBRaSrWbGrzhTrQGm1SgpNxWpabJ70jfE8k2kX9TQRWL3gqXMQ9WQ+bNOhOcUwZkQks2y6Fq/k5ERESH3si9TZOIiOgj8LT2IBaNa99XzSpBcXUeKqYmMxYOp3d2rcMLm9/Qvp9XOQOr73oBDz/8MApCDrTdtxGNv16l/i0MO9X0c889F2OZ3xvE2uc3Y+Xj72dMb9zRhoZtrWja2a5NK5lQgJM/vwynX35Mxrx5Ja6MgMpIvgtWBnZSKuyVMKY1mD1YkVgE/1j/ELwhrzatJn/iRwqoiAkLq+AucaosoL3KAdylLjUfERHRcApE/egOezL6kUg/k23eD9AYqMuY1xPuhDfSpQIrKfL3WHqa6JB5U0apbZzKUknvVWI12FFqqxjQ0+RwlJYlIiKiwysnkX4VPwZ4vV643W54PB64XMn6+URENLpsfnM3WnZ2YuLCimEJoqR7ecvb+Nxfr4Lb6sRz3/g7SlyFGT+PxWJ49dVXVfP6srIyVfJrrGWodLV0o3F7KwrKc1E8Ptl03dPajQd/8rQq4XXJTz+eLOUlpb7WN6jm8xVTiuHMtyPbbfVswoaO97C05GiU2srUNBn4kRIhHzWw8ofVd+PV2tcxtWAyrjv66iEd1Fn/7Cbcd9XDyW/SzyR7X+Jzvz4fs06eNmSvR0RElE7+Vuqg0/62SfCkK9yu/nYWWvoyO3d4NyOaiKDSPlHLIOmOeNHor1WZJRIYSekItSGRiMMlTeKH4OYGIiIiGr1xA5b/IiKirJe6PyB1Ye0qtKN1dxciob5m5MNl2cQFmF46ST2spr67GVMkgLK3ZvSjVU+XH211nRg/q1zbXhte3YYNr23HrGMmaUEVV6EDkxZWoaDcjXgsrgVV5PdGE2/Yg0AsgO3eLVpQRZ+jV4+P6qwpH8MHbZtwzrSzhvwuWQmYSODksZ8+ndG03l3iwllXr2BAhYiIPrJIPIJA1IecHB2cxr6BjV3dWxGOhzICJdFEFN0RjwqUAH1BFYvBilg8M2vVZrBjvGMSDL1lu1LyzZk3vhARERHtCzNViIgoq3U2eLH7/SZUzy1DbqlTTZNB+HAwCov98N9lGI/H8fzm13HStKO0geyekA8Oc/ZnVRyocDCCcCACR17vgEckhr9e8yjisQQuvO40LdNkx9o92PjGdtTMq8T05RMxWoViQWzu2oga1xTYjcl+I76ID03+elS7aoYkkBKLx6DX9T1PNB7V6sIfCvJZ27m6VjWllx4qUvJLp2d1WSIi2jsZfpBszDjiGdkgLYFGBGN+FFvLewMj+84oqevZgUDMr5q6pxrCS8kuCapI43fpf0JERER0oJipQkREY0Z7gxfd7X7UbWzRgioyqDscARUZKLj0vu/guU2v45fn/QCfXHSGmj4WAioyuC5SA+qbV+7Cyw+sQtWMMpz6xSPVNINRr5rLS6+bYE9IC6pMnDdOPUa7t5pfR4N/D8LxMBYVLVXT7EY7atxThuT5t7Rvwx9W/wnfWvo1jHNVqGmHMqCS2t41S6oP6WsQEVF2kiBHOBZSgY9UU3ZftBsNewmUhGIBBGMBRGJhLahi0plg1dsz+pYICabocvQZPcIkQJNvHt6Sr0RERDR2MKhCRERZQ4IW7XUeOAtsMPcGTSpnFEOnz8G4acXDvXgqM2XR+Ll4bfuqjIaoo93z976NXesbcOoXl6NiSrLkhrvIoXptBLqDGfOe9fXjodONjYatPZFuWPU2LXNkWu4MNWBUZksGPIb6s/GvTf9Bs68FD3/wKL55xBVD/hpERESSARmNh5MN3HsD99LPpCXYCEOOHhX2vkB7V6hdZZRI9kgqqJIquRXvVzBDAiKSvSJ/N1MkmFLpmDBgGfqX7SIiIiI63Fj+i4iIssbWt2vRtL0DZZMLMWnxyMhs8AS6EYqGUews0Mov1XU2orpgZCzfUPK09uDN/6xDNBTFGVccq01/7p63VAmvJWfMwrwTp2mZK0F/GDbnwD4yY8HattXY1LUBC4uWYLJ72l57/wy1nnAP/vXBf/DJmefDYkgOXhER0ejV2NiIO++8E5dddhnKypJ9uT4K+TuV+hsl5bQ84U7kIAcFluKBpbeslXCakqW35IaB2p7t0OcYUOPq66nVEWpFOBaG25Sn9T6R15D/0rNMiIiIiLItbsAzGSIiGrES8QTi8b7Yf1F1HvRGHUzWkZFouaZ2PU7+7Wfx9QdvUL1UhGQljIaAyu4NDXjpH++oYEmK0WJA7YZGNGxvVf1SUhaeMgMXXL0Cc4+fmlEWaqwGVFJNcGXQqCPUoU2TgaqhDKjIwNTOzl3a9w6TAxfP/QwDKkREYyioctNNN6l/ByOeiKusEl+kO2N6k38Ptnk/QE/Eq02TjFsJinSF+/6OCYPOBEOOAQkkz3tSZbrKbVWosI8fkH1SaqvQAipC/g4yoEJERETZbmSMShEREfXTWtuFXWsbUDGtGOVTCtU0d7EDSz4+U/XmGAlyrS50+Ltg7DSiubsNZe7hL0F2oCSjZMe6erTVdWDJmXO00lzNu9qx5Z3dyNHlaP1OJEhy1AULkF/mytgGeaVjO/OzLdiKDR3vYVruTJTYStW0ia5JKLAUqsehIANjd797D16pfV31UJlfOveQvA4REWUH+buQHqyQYEgg6lNZIjaDQ00Lx0Oo8+1IZpQY+zJK5CYAaR4fSYS1aVLey23KhzHHmJHBUmqtGHCDgPQ3YXN4IiIiGksYVCEiohEpEowg2BNG8/Z2lE0u0O7yH+6ASnfQB6elt8F6URXuveRXmFsxHXZz312YI1U4EEHL7nYVKEn1PkFODl59aDUioSgmLx6PgvJcNXn8zHLodDpUTMkMFM1YPnE4Fn1E29W9XTWglwGtVFBFGsQfqoCKkHIsUmpOBro8Qc8hex0iIhpZJCuloaFBnROtWbNGTXvq9cdR17NT9R+RMmDykICKNIqXviSpoIohx6geRl1moKTAXKyySmR6ij5HjxJr+YDXP1QlLImIiIiyCXuqEBHRiMiWaNreDkeeDa4iuzatcVs7SmvyoTcMf2aKlPf642v34/cv3YP/fvVPKqAyksWicbQ3dCG3yAmTNTlIsuntnXjlgdUoqynEmVcep8372sPvyig9Zh8zCe4i5zAu9cgnp00SQMkz56sSX8IX6cGGzvcwPXcWnCbXYW0WvL1jB6YWTjlsr0lERMNHGr/feOON+O3Pbt3nPDfccIOaR0p5SWaKBFQseuthXU4iIiKi0R43YKYKERENu93vNWHPBy3ILXFg9omTtJ4cFVOLMJK8uOVNeAJePLTmf7j6lK8OyXO+//77iET6+pMYjUbMnj37gAf6gz0hWNN6mDz2uxfRWteJkz+/DBPmVKhpxVX5cBXa4S7ODJwcdf78j/w+xop3Wt/Cdu8WTHFPV03ohd3owJLi5Yf8tVt8LVhZvxpnTDlNy4ZhQIWIaPSRv+v+aA8CMZ/KIsnpLeslfU7Ov+RcnHbGqSiylqlMlS996Uu4/c7bsXjhYlX+K9WwnuW4iIiIiA4dBlWIiOiwi0ViiCcSMJqSf4bKphSira4LBZW5GeUohlsqmVM1VdXp8Ovzr8PLW9/GpxadOSTP/8Mf/hDXX3/9gOk333wzrrvuuv0uV2oddTR48N/bX1Zl0T5zw+naPAUVufC2+xDy99VHzy9z41PXJgfkaXCkpJdI1amvcozH7u4dqinv4eSP+HHTyz9FV8gDm9GKEyb0ZRoREVF2SyTiiCaiqo9JSlNgjwqi2A1OWHszI51GN+ZOXADbZDv0ur5L+SMWHYEFCxYMy7ITERERjUUMqhAR0WHVsqsT21fvQfH4PNQsSjZAt9hNWHTm9BETTBGdfg+uefTnmF0xFVcce5GaVp5bggsXnzWkAZXTjzgP82qSGQ9i7faVWqClf2Dl/Ze3YsNr21VfkznHJzMUnAV2hP1hRHQ6BH0hWOxmNX3Zx+fi6E8sGFHrNNvs6t6B99rXYEbebExyT1XTSqxlOLv6Apj0hzeoYjPacOqkk/HGnrfZlJ6IaBTxRXvQ4NsNk96C8Y4aNU3+djuNuap5fHrzeZPerB5ERERENLwYVCEiosPKaDEgGorB09KDRDyhmqaLkTb4//ym1/H4+8+rfy9cdBby7ckG7kNV8isVUDlr2acyflZVnGwELz93dZfhih9dAkNvRo9k+HjbetCyu0Ob32g24Lxvn6xKeukNuozp9NGEYiH4oj7s8G7Xgiqynx7OgIpkyqQG1M6YfBpOqTnpsAd0iIhoaEjj+O6wBy5Trlaey6QzI4EEovFIxjG/2Jos47U/UupLeqikSn4RERER0eHBERciIjpkIqEo6je1wuoyo2RCvpomfVNmHjsBeWUuLaAyEp03/zRsbNyKs+euGNKAikj1UEnPUEkn0//39r/QWt+Btj1dKJ1YqKZPnDcOBeNyUVSZXJcp+eXuIV2+sSgcC2OL5wOUWstQaC1W02pck6HLycEEZ7LPz+EkJd4e3/oUNrdvwVVHXAm9Tn/YAzpERHTwIvEwAlGfyjhJ3TgSjPrRE/VCl6PXgipGnRHjHZNUcOVAbzCRYIo0pSciIiKiw6vvllYiIqJDUOqrbkMzdr/XiHi8rz9JfoV7xAVU3qvfhCvuvw7haERbzutP/wbmjps+bMu0+GOzkFvS11TeVehA5bRSVS6NhtZ7He/i/Y61eL9znTZNGsFPdk9T/x5urf42PLLpP3i3aR1WNa457K9PREQH3hclRTJOdnVvRVOgHuF4SJvuMLpV4/lcc+bNEWa9ZcRl7BIRERHRvjFThYiIhkw4EEEsEleZKaK0pgAd9V6UTS7ASB4rCEZCuOSe/4eW7nZMLZ2Irx//eYwEldMlgMLa6YeCP+pTdwpb9Bb1/bTcGWgNtGCCs0ZliQz34FaxvQhfW/wVNPU044iKxcO6LEREtP+/Jy2BBhh0RoyzV6tpUsJLmstLcEUeKVaDTT2IiIiIKLsxqEJEREOidXcntrxVC3exA7OOTzZalR4fs09Ifj2SWYxm/PCs/4fH1j2Hzy0595C/XjyS0JrSp3qopJPpwmg0HvJlGYs2dW3EurbVKgtlQVEyYOEwOnFq5RnDGkzxhf2qj0u+NU99v6Bs3rAtCxERDSTlvHqi3XAYXFpwRJ+jV9kokXgkIyhfYRs/7AF6IiIiIjo0GFQhIqIh4SiwqRJf0XAMsWgMeoMeI5UMejyw6r+YUTZZK+91+qwT1ONQq9vUhPcfrcPXL/sWfnfnrwb0VpGAivRTufnmmzF79uxDvjxjkdvoRhxxeCOejAGw4Rz8ag904Odv/BpIANcfczXsJvuwLQsRESXPFULxICx6qzbNE+6EN9Klvk4FVaQXSpmtEja9PePvCAMqRERENJKtW7cOc+fOHe7FyFoMqhAR0QEL9oRUrxSD2YAJ88rVNKvDjAUfmwab68AbrR5ud712P25+4neoKRqPp668B1ZTsgTU4dC4vQ2RYBQr5p6NgpvcuOGGG1QQJZ0EVK677rrDtkyjWWeoAxs63kOZvUI1nheltnKsGHc6CiyFGEmDd76wDwkk0BnsYlCFiGgYScmuHd5NKgA/0TlVlfYSqebyEkBJkXMep9E9bMtKREREdCB8Ph+uvPJK/PWvf8Ull1yC2267DTYby5NmVVDllVdewS233ILVq1ejsbER//73v/Hxj398n/M/8sgjuOOOO7B27VqEQiHMnDkTN954I0455ZTDutxERGOd3xtC0/YO6PQ5GDejGEZT8s+J3X34ghMfxQULT8c9b/0Ln1p0JkyGw1tia/FpM2F3WzFtaTVONxyDc845B5FIRPu5lPxihsrQaQ40os63G53hDkx0TlKDX/IYSQEVUWgrwPeO/BYsBguKbCNr2YiIRrNA1I/OUBv0OgNKrOVaTxSjzoRoIoJIPJwRVEkFVoiIiIiyzcaNG3HB+Rdg165d+PJFl+FvD96Hd1a+g4f++RBmzJgx3IuXVXTDHRmTNCOJiA02CHPyySfjiSeeUIGY448/HmeeeSbefffdQ76sRERjmd8TRFdzt/Z9XpkT5VOLMPuESVpAZSTzhfz43/oXtO/zbG68cNX9+Ooxn4Ved2jLlIWDEax7YTMS8WQflRxdDmYeVaOVR5MAyoIFC7QHAyofLdujyd+gslNSJrmmqAyVo0uPH3EZVO/Ur8b2jh3a95WucQyoEBEdQhIgkRJe4VhIm5ZAHD1RL3oiXvV3JKXCXo2Jzmmq4TwRERFRtrvnnnuwePFixKJxPPnAU7jpuzfhiQeeRDQcVdPvvffe4V7ErJKTSD9zHEYy0PFhmSp7I9kqn/zkJ3H99dfv9eeS0SKPFK/Xi8rKSng8HrhcvMuIiOjDtO/xYOMrO2FxmLDojOkqKJBNuoM+nHbrxdjdUY8HvnArjqxZeNheW3rMPPrr59G2pwsLT5mBhafyzo9DaX3HOrzfsRbltgocW34SRrLVje/i12/dCofJjh8df4PKVCEioqEVS8RUI/mUet9u+KLdKLSUIN9cpJX6kkwVm8Gh+qeMtAA8ERER0WDJMH8ilkA8Flfl2lPeePkNHHnckVhx3ArcccsfYLP2lfvy+334yne+gmdffharVq3CwoWHb8xkpJG4gdvtHlTcYFgzVT6qeDyO7u5u5Ofn73Oen/70p2plpB4SUCEiov2TP8ApuaUOGC0G2HOtqgl9tnFa7Fg+cSFKXUXQ6w7vnz2dZKUcPQk2twVVM8sO62uPBTIQFo33lU4b75gAQ45BlWaRn41kM4umozq3CksqFiHfmjfci0NENOqCKbu6tyb7oqT9PUgFTvQ5fYMMUuqrwFKsGs8zoEJEREQjMVASDUURCfRd+4pAVwBddV0IeoLatHg0jpbNrWjb1p6RgTtz8iwsnLsQHV0dsFqsGc9jtdrU9GVLl6nqGTQGMlV+/vOf42c/+xk2bdqE4uLivc7DTBUiosHze4PY+W4D5C/DrOMmatMlHdSQBWW+Una01qLYVQCH2a6V/4rGY3BbnYfl9SWdVm/QZZQAM1kOb++W0a7Btwdr2t5Bhb0S8wsXadMj8QiMvbXvRxo55UofsAtGgzDrzRzEIyL6CEKxILojXSpQkmcu1I63O7u3qJ4o4+wTYGMJLyIiIhpBpDy4BErkhlazw6xN93f4EewOweq2wJqbDH7EIjG0bmlTX5fMKNauH72N3Wp+e6ENzhKn9rzNH7QgR5+DosmF0OmT4xKh7hCeeOJJnPupc3D/nQ/guCOP017zxddfxKcvuxBPP/00VqxYgbHMewCZKtkzQtbPP/7xD9x00034z3/+s8+AijCbzepBREQfTv44dzR41dfBnhAsvX/csymg8si7T+G7//4pzpl3Cm459/tqmt3cl9p6KMkgzuqnN2LPpmaccfmxMJiSJUcYUDk0uiNe1PbswtyCBepOYzFSAyoSQPndyjtwdNVyLBt3hJomTemJiOjA/s4GYwHVRN6gS56bhOMhdITaYNKZtaCKnM+U2yphSJuPiIiI6FCSgEbYH1b/Wlx913q+Nh+C3hCseVbY8pKBEgmmtO/oGBAokeog4Z4wjGmluyQwImXY5V95bgmYCLPLDL1RB6Ot7xpY5iuZXjygbLvZacbHP3E2lv56KW657efIz+ur+nTLrT9XWSrSx5wGLyvPMB944AF88YtfxD//+U+cdNLIrplORDSSdTX3qOBJaU2yn4PVacakxePgLnZoAZVsU+ouQigaxp7ORvWv2WA6rJk+G17djpA/jF3v12PSwqrD9tqjmWSfbPNsht3oQJWjWk0rs1VgSdEyVDknaAGVkez5nS9hXfP72NaxA3NLZsNmPDyBPiKibNY/w6/etwv+mA8l1nK4TcnBAJveDpcxV2WjpM9vMfA4S0RERB+9T2q4O6T+TQVERE9rDwJdQdjybbAX2LRASefuLvV1yYy+igRSyUJKd5nSgh86g057pAdKLC6z6oVitBoGBEr6M9tN6tHfvvrgyvLceNONOPXUU3HKJzIzUiRLhRUURnlQ5f7778ell16qAiunn376cC8OEVHW8rT04P3nt6k/4gUVbtU3RZRNSt7lmU06fF3It+eqr6V/yr++fAcWVc2B7jD3ULG7rVhx6TJ4WnsYUBlC271bsLZ9NZxGF8bZq1QQRU74atxTkC1Om7QCTT0tOG78UQyoEBF9iFg8iuZAA0LxIKodkzMCJcF4EPG0CtZ6nQGltnHDuLREREQ0kqU6X6TOJyT4IX1IJJhhL+wrEdrdLIGSgAqSpKYn4nF07fGor625lrTnSCAWjqnSXCkytiIBEZ0hJyNQIqW8JKCS3jhenqd4atGAZTXZTDAdwstFKe+1Zs2ajH4rsizz5s07dC86Sg1rUKWnpwfbtm3Tvt+5cyfWrl2rGs9XVVXhmmuuQX19Pe69916t5NfFF1+M3/72tzjiiCPQ1NSkplutVlXvjIiI9k3+aEaCUZisybsjXEV2OAttqgF9AiOivdYBk14pP3jsF3hl60o8942/I8+e/FuwpPrwnRB0NCRPsPLLk69dVlOkHnTwgtEAookoHMZkXdga1xTUdu/GJPdkZJPmnhYU24vUSaoEgr4w/6LhXiQiohEnGo/AF+2BPkcPhzFZu1qXo4c/2oM44iqwIs3lRb65CAXmvhIZRERENDZJ0CI9K0MCJYHOgMoocRY7tPlU35FOPxxFDjiKegMliYSaLmwFNu28QqZLo3fJLEmRkltSXqt/6S3JWpGSWqmS32pZcnJQOClZBSSd0WpUj5FAlnH+/PnDvRijwrDWy1i1apXakKmN+a1vfUt9ff3116vvGxsbUVtbq83/xz/+EdFoFFdccQXKysq0xze+8Y1hew9ERNkg4A1h7dNb8d5z2/pOPnJyMPekyZi8pDJre37IQPW7dRvQ0tOOV7evPOyv37SjDf/53Yt48q7XVOkv+uh2de/AY7v/hTWtfdtT+qSsqPwYJromZ0WpL7G26T1c88L1+NcHjw73ohARjSjReBTxRN9gRU+0G82BenSGkg1YU+coJdYKVNonwqzrq0meylQkIiKi0UUCGpL1IcGRFAlwSPaItzHZ9zXF0+BVzdh97f60J0hmmvhafRlZGJDThkQy6JIiARKzw6QyT9JnlVJeBRPz4UjLXpHzjoIJ+cirytWavgvJOpHSW3pjX1CFxpZhzVQ57rjjMnf0fv76179mfP/SSy8dhqUiIhp9pB6n9E6REwlfVwCOfNt+a22OZNFYFAZ98s+X1WTBrZ+6Gf5w4LBmp6Tklbpgc1lgc1szTrDowKTXwM83FyCWiCEYC6qBt2xtMNwR6EAoFsa2zh2IxWPQ63iyTUTU4KtFT9SLcluVlpUiPVEkE8Vm6LurVDhNrERARESUzWT8QQIjMu6QCj7I9z0tPSqjJHdc3996b4NX9ShxFPdllKSavAtnqVO7ZtSlZaekSAaJxW1RJbhUIY7eoQ4p5SXBEr1MT82bk4O88XkDljeZdcLrNhqcnMT+ohqjkNfrVaXCPB4PXK7kiTwR0WgimShtdV3obvdj4oIKbXpXUzdsuZaszUoRm5t34OsP3oivHX8Jzph9wrAsQ/+muRKksjjMGSdpNDjesAfrO96Dw2jHnIIF2vTOUAdyTXlZfzfyOw2rMb90btYGhoiIPkpPlM5wO8KxEMrtfT3GpE+KJ9yhSngVWAY2XCUiIqKRTbJJ5KE36KHvLX0l5bK6m7rVWIRkdKR46j0DAiUSVGnZ3Kq+LpnRV9JTfl8yT6SXibPEoV17y3S5gVGmp5f6EvJ9tl8zUvbGDTgCREQ0ygR7wtj0+m7Ub2pFT0dfOmxuqTOrAyrisfeew4bGLbjl2TvV3f+HWygQxlN/fA21Gxq1adKThgGVg+ONeLC7Zwc2d21CJB7RpueZ87Pu5FhK2Ty57RmEY33vY3H5QgZUiGjUkwGPQNSPYLTvnEOO4R2hVpWVEomHtenSE2WicxoDKkRERCNINBRFqDuk/k2RwEnn7k507OzImFeyTDp2diLg6St/LVdu0vhdniNVblxI1kgyEJLWFF2fA7v0dy11pk9WgRcJsqQCKmrenBy4ylzqZ+lVNiTIIo9su2ak0YVX+kREWU7SZv1pJb2sLjPKJhfCaDHA4jBhNPnmCZciEA7gK8d8dljKKb3/8lbUbWpGW70HF/7gtIymdPThWgPNiCXiKLWVqe8rbJWY6p6BaudE1Tclm9215i94pfZ1bO3Yhq8t/ipP8Ilo1EoVOkgd5zrDbWgLNsNucKLCMF5rNC/ZKAadUX2dku3HeiIionTr1q3D3LlzMRJFghEVJJHeH8bemyslUNJV51F/ywtrCjJKbCUzSuyqoXvq73yoJ3ljhGrQ3hvUkDJeeqMENJARKJFgiCq9lUaCIc4SZ8Y0ed70RvLa9CwsTU5jG2+tJSLKYiF/GKv/+4FqQB9Ju6tk0uJxGD+7FAZTdsfOH137DK76583aAI5Rb8D1p38Dxc6+E8DDaf5J0zFpYRVO+/KRDKgcoJ3e7Xiu/imsbn1ba1AsJ9QLihYj3zI823MoHVW1HFaDFUdULGFAhYhGLSnftb17EwKxvqwUq96uAif6nMxzDslGcZvyoE8LqhAREY0GPp8Pn//85zFv3jz1r9+f1jB9CPXv2BD2h+Hv8CMS6MuOl0BJ67Y2tG5JltRK8bf74dnjVdkj6YEL+d1oMJqRUaI3GWCwGDL6hEqgxFXuQq6U88rJDJQUTSlS5bi0eXNy1PfWXGtGcITXRTSaZfdoGxHRGGeyGtVdIrGoDn5PEO693PGRreo6G3DVwzcjEovipOlH4fRZw9NDpWV3O4qqkuWopMzXCZ9dMizLkW3kAkBKepn0yWypcY5KWNotKLIWq0b0upzsv68jvb/OzKLp+O0pP4fd1HdxQUSUreQ43RNJlu4qtJRo0+OJmHoEoj7YDMnjnTSZr3FO48AJERGNCRs3bsQF51+AXbt24csXXYa/PXgf3ln5Dh7650OYMWPGhwdJEplZGaGeECKBKEx2I0y25LVTLBxD+84ONX/JtL6SmZJNEugMqP4kRmsy+0SeKxaKDcgoMVjk+WLQGfpubpCf5Va6k8GT9EBJkWSoZF7HyN91W571o60solEs+0c0iIjGCGnGVr+5Fe+/sE27q0ROdKYdVY3FZ88YVQEVUZlXjmtOuRxXnfgFrJh+zLAsw6onN+DR37yIDa9uG5bXz1ZtgRY8WfdfvN3ymjbNqDPhzPHnYUnx8lFR/qXWswc/fPX/4Al6tGkMqBBRtorGoxm9TxKJOJoD9aovigRYUvLMhai0T1S9UVLkXIQBFSIiGgvuueceLF68WDVmf/KBp3DTd2/CEw88qapGyPR7771XzRf0BlWD9VT5LBENx9D8QYvWpD0l6A2pPiXhtHklS0QauidiiYyMEinxbXaaoTcbMgIleePzUCDlvNL+HNsLbMifkJ8RGJG/1xaXBSa7iX+7iT4iBlWIiLKod0rte03oaupB256+gVybyzIqGqUHIyH85KnbUN/VpE378tGfxv876Uuq7NdwkJNWEejpS5mmD2fUm+AJd6I50IRQrK+B4Whp2i53jP1xzd3Y3L4Ff1//4HAvDhHRR9IRasOO7k1oD/YN8kgvFKfRjXxzYUbpEclKsRpsHIghIqIx581X3sQll1yCo5YchSf+8QSm1ExR06fWTMWT9z+BIxcfiYsvvhirV69WwRRfux8Rf1+gRKfPUVkqEiRJD5SYbEZYcy2q/FZ6oKRgYj6KphRmBEps+TbkVeXC6rb0zZuTA7PDpK5d+feZ6PAZHaMbRESjUFSayDV2o1BqmMoB26jH+LllqiFcQYULo801j/4f/rnmCayt24gHv3jriDghnHPcFJSML0DpxMLhXpQRfXfzDu82xBHHtNxkurvblIsjS49FqbUMJr0Zo43sm1cu/goe2PAwLp7zmeFeHCKiQWsPtsAX7UaJtQJmfXJAxqxLHqdjib7ebKLMVjksy0hERHS4SJmtaDiqmq9LQ3c1LRJDx+5OlSVSPLUvM3N6zQwsnLsQHV0dsFoyy2JZrTY1fdnSZViwYAFC3pAKjBhtfRn68n3h5AJVjiu9/Jf0IZFH/+uNVHkvIhqZsv/WZiKiUUhSg995bCM+eG0XfF0BbXr5lEKUTS7MaCA3Wnzt+EswPn8cLjv608MWUGmv78JL969SpdaELAcDKvvXFGjA6ra3sb5jLcKxvjuxqhzVoy6g0h7o0L4udZTgm0dcwZJfRDQiSXZJIOqHN9yVMT0Q8yEYC8Af9WnTrAY7JjqnocI+fhiWlIiIaOhJJkjqmk7I154GLzrrujIyMHvafOjc3YWApy+7PkevUz1KpPxW+nOYHWZ8/7vfx6q1q/DyGy9nvN5Lb7yE1etW48abbkyW2HJb4Cp1qt/RnjcnBwaTAbq0gAoRZS9mqhARjRAZTeVMeuSWOOHrDCDS23RutJFG9Bsbt+GUGcl+KRMLq/Dytx6AYZhKfckdSk/c+SoC3SE4821YeMr+mwyOVaFYSA3G5Znz1fcVtkqU28ah3F4BfU5fE8TRJJ6Iq6yU53e+hOuPuRrj3VXDvUhERBlkgEj+0+Ukb7oIx0Oo8+1ADnLgNLqQ0zs911QApzEXdkNfHzb5ndTvERERZdP1c7A7hHgkBltBX2lKb1M3/O1+2IvscPb2HZWfSYP31O9Jz5LUdbfBrM8IdMjXedV5qsR2RkaJ24JzLjwHS3+3FLfc9nPk5yWvh8Qtt/5cZamcfPLJh+39E9HwYlCFiGiYyd0vte83oXlXJxZ+bKq6e0VMWjIOhn6pwaPF1padOPP2LyAaj+GZr92HiUXJQerhCqio1zYZcPQFC7Dx9R2YdfSkYVuOkazZ34hXGl+EzWjDxyrP1poTH1t+IkazWDyGHZ07EYwGsbltK4MqRDSidIXa0R5qgcuYhyJrqZpm0pm1hzSaN/QGTRzG0Vc+lIiIRtdNAipDJBpXPUZSgRJ/px+BziAsLjPshX2Z4p7eXqPWPKsWKFG9S+Q6O9KXZSLX1I5i+4CKD/Jc6c+XYrab9rp8sjySjXLqqafilE+syPjZ008/PSJKWBPR4cGgChHRMJMTvPZ6L8L+CFp2dqK8t26rsTe4MhrVFI7H/MqZqjm90WAY1oBW0BeGzZWsK189uwLjZ5XzZLjfhU1qfeSZC1RPHx10CMQCsBlsGAuMeiOuOuJr2Nj6ARZXLBzuxSGiMUzKefmjPSi0lKhm8kKXo1eBk0DMr80nx+3xjkn8e0ZERCNGquxW6m9T2BdGqCekeodYeq/HpJF765Y29WXxtCItUCJBlkggorJK0q+jpUG7lOtKL+klzdxteTbtd1McRX1Zmh/FihUrsGbNmozXlPc0b968IXl+IsoOOYn0o8AY4PV64Xa74fF44HLxTi0iOvxC/giad3agckaxdkLZ2ditBvjzK1yjdgBk5a61WFg1G3pd8kS4K+CF02zXvj/cQv4wnv3rmwh4Qzj7G8fDxEaAGXwRHzZ0rlON6JeXJku0CW/Y01tKZnTupymdwS5sad+KIyoWD/eiENEYFYtHEY6HYU0LYO/u3oZQPIhS6zi4TLlp84Vg0Vu1Ml9ERETDQZq8R4NR6Aw6rdG6DDu2bWtXP5PG76lskZ7WHvS0+GDNtcBd4daeo2VTi0QpkD8hT6viIM8ZDUVV9kqqoTwR0XDGDXgkIiI6jCRw8u5TmxEJRmFzmVFYmRwQyStzYjT78ZO34o5X/oarT7kcVx53kZqWax3ewHY0EoOnpQfhYAQdjR42pO8nGg9ju3er+npOZD4cxuQ+6jL1XfCMVt6QFze9/BO0+dthXGrEgjLedUZEh1cw6ketbwf0OQZMdE7VAtluUx4iiQjM+t47egHodQZYdbysIyKiQ0f6kMhDgiXq+0QC3sZuFSjJHefWAiWBrsCAQIn8DVMN3xPJoEtqXqPNBFt+XP2brmhq0YAbuFQwxcK/dUQ0cvCIRER0iEkAxdh7AignkKU1BWowPzVtLJhcXK3+7fQna96OBHa3Fad8cbk6YS+oSAa3xrL2YBt6It0Y75ygvneb8zAnfwGKrSVaQGWscJqcmFk0Ax+0bUKFs3y4F4eIxkBJr65wOxxGN/LNyQC/SW9RTeb1vaW9DDnJc4Zcc8EwLy0REY1WEigJeoKIReKw5Vu14IevzYfu5h5Yci3ITQuUBL1BJGKJjECJZJZIJonOkFmNIH98nirXpTfpM/qW7K13yWjPiCei0YHlv4iIDhE5vG5dWaf6pMw/bSrs7uRdpfG49KgY3SeL0VgU7b4ulLgKtXWxoXELZpVPHdbl2rxyF9yFDmal9NMSaMLz9U/DqDPh7Orz1L9jnTSn90cCcJqHpvYyEZEarIoFVE8U6VElvVBEZ6gdrcFG2Ax2jLMnA9tCgikSVCEiIvooJOghD6PFqAIbQgIiEiyRLBFXad8NVM2bWlSgpKAmX82fyj7x1HtV/5K88XnavP4OvyrTZXGatQwWIqJsxvJfREQjgARNouGYSpPu2OPRgiq63hPZ0aquswGX338dQtEw/nv53TAbTGpdDHdAZevqWrx8/ypYHGac/+2TYHNbMZYH9kKq/n5ynyyylKiSMnnmPETjMRjH4DXRi7tewR5vPT47+1Nqf5VePwyoENFHPdbGElGtobxo9Nchmoio/if23ixAyQbU5ehUUCUdAypERHQgjd+lkXvAE4TBpFfN2lPatrcPCJTINWokEEWOLvPEXxrGy8/SbwA0uywodpq1gExK+msQEY01DKoQEQ0RX1cA9ZtaMXFBhTqRFdVzyjBuejFchZkDJaOZSW/CrvY96k7/Lc07MLtiGkaC6lnlKByXi8rppbA6+2rRjzWecBfean4NsUQcp1WeqS6Y5HFK5eljdgBPgil3v3sPEkhgVvEMzC+dO9yLRERZLhD1o8G/W/VEqXZOVtPkWOswuhCNR1QQJUWyA90mZggSEdFAkmEi5aTlb4hkiqS072hX0wsm9gVKpJG7v90Pk92UEfCQa9NYNK6CJSkyT26lG/reRvAp7vKBd2Ynbwoc3TcGEhEdKAZViIiG6C6hTa/vht8ThMVhQtWsUjXd1pudMtoFIyFYjGb1tZT8+uNnfoqq/HJU5CbXw3CJhKIwmpN/6uTfs75+PAzGsRk4SLHqrfCGvUggrur4S+8UMVYDKmKcqwKfmf1JdId7MK9kznAvDhFlGV+kG90Rj8o8cRqTteZNOpMq3xVX2Sp9ZbyKrWXDvLRERDQSSON2CXLo065NvE3diAajcJU5VV8SEfaFVektk90IsyNfm1clqajG73EYey85DRajCqYYrZlDffkT8geUnpbXTX9tIiI6MAyqEBEdJF9nALZci3anf+XMErTVdSG/t3nfWPH0xlfw/Ud/jj997v8wv3KmmrZs4oLhXiy01XXi6T+/gSPOmI1JC6vUtLEWUJGBvF3e7fBGvJhfuEhNM+nNOKr0WOSZ82ExjN0SaKFoSGWmWAzJq9DTJq0Y7kUioiwQi0fhj/ngMLi0AapAzA9vpEsdU1JBFb3OgCpHDcw6M3LSslKIiGhskcbv0XAU1lyrFsSQEl2ePR4VKMmv7guUSABFgipSQjoVVJHG7gaLYUBGiWoYL43f0+r2Gi0GGMv6+qOkjOZenkREw4Vn+EREB2HT67uw5snN6Kj3atOKq/Mw4+gJcOSNrYHqx9Y9i+buNtzxyt8wkux8v16VZFv34hbE01Ldx5LusBcrW9/Epq4N8IY92vQye8WYDqh0h7rxk9d+gd+8fRui8ehwLw4RDaPGxkbceOON6t/91atPfb2zZ6vqixKKBbTpUtIrz1wIt6lvYExI3xQGVIiIRmdJLgmAxKNxbZp8L71LOuu6MubtafOhp8WnSnWl6Hubusdjmdco9kI73BUuFRxJMdlMKKwpGFCWSwItUtaLARMiouHBTBUiooNgsZtUWVnJVikYN7YyU1IDS6kT+B9//DuYVFyNy4/9HEaSRafOVJkpM4+a1FsHePSLxMPoCnWhyFqsvs8156HGNQVOowtWAxtJprQFOlDnrVPNo5t6mlX5LyIamySYctNNN+Gss85CWVlfaa5gLICWQANyoEOlY4KaJn/3rHqbOtZKX6r04Ik8iIhodDV+Vz1KOgLQ6XPgKHZo83XWdqmMktyqXFicyRLIav5gNKNviTA7zSpIotOnZZRYjSieVpQxTVjHSOloIqLRgEEVIqIP0dXcjdr1zZi0aJzWI6ViejFKagpgTTuJHgvC0Qh+/fyfEI5Fcd3Hvqam5VpduOrELwz3oqnmi1ve2YVpSyckS7LpcjD/5OkYSw3on9vzpPr6rOrzYdQlG1YuKV42zEs28kzIHY+rln4N+ZY8VLjKh3txiGgE8IQ6EYj6YDXY1fe6HL0KrIh4Iq41li+3VTL7hIhoCK1btw5z5849bK8n2SVhf1h9bXH1BTE6d3ci1BPOCJTIvP4OvyrBlR5UkQyRhGSZpGUzSuaI/G56OS7hTPu9FLlOkf+IiCh7MahCRPQh6je1wtPcg7qNzZi6bLzW9DzVAH0seWf3e/j9S/eorz+x8HRMLZmIkXJX2VN3vYb6LS3weQIqS2WsZQxJNopZn7ww9EV6VJYK9dnQ+gGKbUUosheq72cXj419hIj2np2SKve1Zs0a9e8bq15DLBFFvqVIZayUlpai1DpOZfmlAiqCARUioqHh8/lw5ZVX4q9//SsuueQS3HbbbbDZbAd9TiwZIlJOSwIeKd0tPYj4wrAXO2CWSgO92SdddR4VKEkPqqD3nDoeiWmTZB5bgS3jOUVuZe6AZZCsk/SsFSIiGt3G3oggEdGHnJB3NnTDVWzXmppXzSqF2WZC5YxkSaWx7Miahbji2Iswu2LaiAmoCAks1MyvRMvuDhSPz6xpPxoFY0Gs71iHzlA7Tqo4Tb1/GfQ7vvzkAQOABKxpXKv6pxTbi3Djsd+HwzTwjkEiGhsk6+Q3t/0aP//xLRnTf/D1G7Wvb7jhBtVnxWUaOGhGREQf3caNG3HB+Rdg165d+PJFl+FvD96Hd1a+g4f++RBmzJix398NdocQDUSSZbWsyczsiD+Cjl2dKghSNDl5A02qHFfYH4ElFAV6gyrSLN5oHdj43VnqhKvMCV1vv5PUvK7SgY3fiYiIGFQhIkqz6fXdaKvtQvW8MlTOKFHTnAU29RiLGj0t+MWzf8SNZ1wFpyVZEuWaUy/HSCF3pEn6vJCyX1Uzy2Bzjv5axPKOd3q3IZqIojXYjGJrqZpuNzJYsDfjc6vgtrhQ5a6EWc87CInGsgbfbpz5udNwyukrkGvOV5kqX/rSl3DXXXdhwYIFap703ipERDS07rnnHlx++eWorKjCkw88hSk1U/Dp8z6NL3/ry1i8eDHuuOMOXHTRRaqxu2ePB3KvUMHEAu33A50BhLpDKviRCqroem+Gk2uD9ExuW74VFpcZRltyPiGBl/TnS+mfjUJERLQ/DKoQ0ZjWvxlhfrkLHfVeILO/4JhdN5+/99tY37AFBr0B/3fO1RhJNr21E1ve2Y2PXXa0dhE0WgMqXaFOFTyZ7J6mvpcyXwuKlsBucKDIkgz+0b4VWPNx07E/QK7FzSweojEmGo9An2PQ/s67TfmoKI+gYEJxRiaKBFRSQRUiIjo0Vr79jir1teK4Fbjjlj/AZk3euDa1ZiqevP8JfOU7X8HFF1+MmTNnYu7seapUl9xNlB4oMTtMqtSWBEdSpI9JyfRi7WarFLODN9MQEdGhwaAKEY1ZbXVd2P1eEybMK0N+hVtNK67OQ165CyYLD49y4SIZKj984vf40pGfwkgS7Anh7f++h5A/gs0rd2HmUTUYrXoi3Xiy7jHVzLLUWg6nyaWm17gmD/eijViRWAR3r70Xx1cfg6kFyfWUb2WPGaKxpi3YpMokSm8Upyn5d95hdKlHanCOiIiGRnrgQ/g7/Qh5Q7DmWmFxJ298mj9vPhbOXYiOzg5YLdaM37dabejo6sCypcu0IHdeVa6WhZJiyx9YQUC9Lg/rRER0GPF2TSIas7rb/PB7gqjf3KpNk7ubxnJA5c0da/Datne075dOmI/HL78bk4qrMZJYHGacfMkyLDx1BmYcOXJ6uxwsaZgs9ftTjZP9Ub/2M4fRiQrbOIxzVPFicZD+s+V/eLX2dfzu7dsRioaGe3GIaJjkQIcEEvBFe/qm5eRkDPpJqS/pocKSX0REgxOPxRGPxrXvY9EY2ra3o3Vzm1YFQESDMYR6wggHIto0yS6/5tvfx6p1q/DyGy9nPO9Lb7yE1etW48abbtSO1apviqUv25CIiGikyEmk/9UbA7xeL9xuNzweD1yu5N2+RDT6xeMJtOzsgLvYAaszmQYeDkbQtK0d5VOKWEMXwNMbX8EX//Y9FDny8dw3/o58+8hq0NvT6UckHEVeyeg7dktN/4ULF+L1t1+Dv9wLT9iDs6rPg1Fn1Bors2zV4AWjIfz67Vtx5uRTMat45nAvDhEdBoGoHx2hVhRaSlSJRBGLRxGKh2DV2zggR0R0AGSYKBaOIRqOqXJbqWNod3M3fG1+2AttcJY4tXmbN7aor4umFKrm7iLsD6tG8dLPxGjp62ki8y9fthzhQBg//cHPtOlX//B7sNgteP2N13nMJiKiER83GLu3YxNR1qutrUVbW9s+f15YWIiqqir19baVdWje0YGSifmYsjQ5zWQxompWssE3AcdMXoJJReOxePxcmA0mjCQdDR787w+vQm/Q4eNXnTBqe6eY9Ga0xwKqB0B7sBWltnI1nQGVD+cL+2A32dXXFoMZVy//Fi/IicaQznAbfNFu6EI6lNkq1TS9zgCbjpc7RET7I31LJAAiwRCtB0kCaNvWPiBQojMk/41F+jJV5Hwrb3yumkeax6eYbCb12GuJ4ZtuxKmnnopTPrEi42dPP/00z9+IiCgr8CqDiLI2oDJ92nT4A31lkvqTxocfbPpABVZKJxWgo8ELe25m7d6xLB6P48Utb+LEaUeq761GC/57+d1wmJMD0yOJzW2F0WxQTSjTyw2MBp2hDq1UgvRNWVZyNGwGO2yGgfWiae82t2/Fr978HT4751M4uiq5P/OCnGj0kmNmT7RbHSv1OckBvnxzEXTQqX+JiGjvx05fmw/RUAyuUqcWAAl1h9Dd3AOLy6wFVaQkssFsSDaJjyWA3kQTa65FPaRR/EdpCL9ixQqVqZ1eOEXO3ebNm/fR3ygREdFhwKAKEWUlyVCRgMoPLv8xxpdPGPDz3Q078aPbr1XzSVDFVWjHkrNnDLgAGKti8Rg+8+dv4LXtq3DHhT/CmXNOUtNHYkBFWOwmfOwrR6t/JcNotNjUtQEvbX4Bf/z6X9T3X//61/Hvf/8btmIGVA7E2qb30BPx4cVdr+LIymXM7CEa5RoDdeiJeFFgLkaBpVhNs+itKLWNG+5FIyIaFtoNOr03lYR6QqpMlwRGXGVO7Wf+zgDikThs+VaYejPTDVYjTA4TjNbMc+yCmvwBN6kM1bWUPO/8+fOH5LmIiIiGA4MqRJTVJKAydcL0ff48/e4nBlT66HV6LBw/B2vqNiAU7WseOVJIw8vXHn4XE+ZWoGp6snmwq2BkBnw+iv898gRu/PbNMOgM+MQnPoEXXngBM2bMwB133IELLrhguBcva1ww4xy4zS4cX30MAypEo5D0lZJMvtTgnsPggj/Sw4w0IhpzJGNbss0Npr6hnI5dnap8V351Pky2ZGAkEU8g7AurpvLp7Pk2yOVRqoyXMNtN6tEfj7FERET7xpEHIhrVeDHQp9PvQXtPp/b9N0+4FM9+4284f8FpGGnWv7INm9/ehRf/thLh4MgL+gwVz65uHHvsMdi0YRMefPBBbNiwAccdd5z6l7DfYOnb9au0oKkEUk6ddDLMhgMrPUFEI19XqB07uzejJ+rVpjmNbkxwTWWpLyIa1X1Ogt4gYpGYNk2+b9ncCs8eT7+5E+p/sXBUmyJZJ65yF1xlmU127YV2OIrsMJj6gipERER04JipQkQ0BqzctRZfvf86zKmYij9/7hYVbDLqDRifX4GRaNYxk9G0sx0zjpw4qsp9SRBgd89OVDmqVSDgxhtvhE7Xd39DcXExHn74YXUHIu3bn9feixd2vYwzJ5+GT81iRg/RaBZNRBFLxOANd6lgipC/YXpwQJCIsp9kZ4e8IZVZIgGPFE+DFxF/BO4KF6y9PSH1vYGQRL/TRFepS90um2omr+Y16mHLYy9JIiKiQ4WZKkREY4DT4kCnrws72urQ4evCSNTV0q19rTfocMoXlqNyWilGkzVt7+DN5lexqvUt9X16QCXdvqZT0qT8GhWUKrYneykQ0egQiYfREmhEKBbUpuWZClBqrUC5rWpYl42I6KOSfiZddV2q30mK9DfxNnajp82XMa9kmhgsBtUwPkX6oxRPL0bhpIKMeWU+KQfGDH0iIqLDh5kqRESjVE/IpzWen146Cfde8issrJoNq8mCkWbjGzvw+r/exfJz5mLmUZMwWhVZi7HNsxkFFpas+SiOHX8UphVMQYmDQRWi0aQ12KQa0McSUZTZKtU0vc4AlylvuBeNiGi/mciqT0lvACQWjqGr3qOyTwpr+gIgEX8YQW9IBUHMjmTJUr3ZALPTBL3JoJ4nFRhxlSaby6eTnzFuQkRENDIwqEJEWW13w84Dmj4WxOIx3P7yfbjr9QfwxBV/wbi8ZKP3oyYtxkgVDoTVhWdrXWfGBeVoI2W/CsYXwm50DPeiZJXmnhb8a9N/8IV5F2l9UxhQIcp+wVgARp0J+pxkyRrpkSJ/w9wMohDRCCPnp9IkXnqcmGx9Td29Td3wt/vhKHaoXiUiR5+jSncJaRSv0yczkC0ui8o2MaU1hZdATF4Vj3lERETZhkEVIspKdpMDVqsVP7r92n3OY7PaUFhYiLF40ffcptdVma+H1zyJb554KUa6uSdMRV6JC1Uzy0ZVQEX6AKzvWIcZebPUwKFgQOXAxBNx/OLN36KhpxFWgwWfn/e54V4kIhoCLYEGdIU7UGguQX5v9p5Fb0WlY8JwLxoRjXHRcBSRQBR6o04LoCRiCbRuaVNfSwmuVFZKenZKigRRcse5VQ+U9PJdZqdZPYiIiCj7MahCRFkZNAg25uDen/0LzioTivZxd5cEVKqqqsbMOhESkDDoDfjtJ27Aqt3v4bz5p2Ek6un0472XtmDpWXPUhacs9/hZ5Rht3m5+A7t7dqA92Ibjy08eVQGjw0V6p3xx/sW4f8M/8fFpZw734hDREPydEha9DUCHakRPRDRcxyV/hx/RUEyV20oFQAJdQfhafapBfCqoojPo1EPmiUdj0JmSQynWfBuseVb1s3QW98grt0tERERDh0EVIso68VgCNpcZ5aUVWHjyNJjTUujHovaeTnz33z/DUTWL8PnlF6hp1QXj1GMkkjII/73tZXS3+1RTzSWnz8JoNS13hmq6LJkqDKgcmGA0CIshOSAxtXAKbjjm+1yHRFlK+qS0BVtQYCmG0+hS05xGNywGG0y9WXxERIcykCvN4f0dARitBjiK+rKGe1p8qgStLd8GoyU5PCL/Gm1GlWmSrmhK4YBzEX2/YAoRERGNDTwDIKKsIxcvk4+owqIzp4/5gIp4YsOLeHrjy7jl2TvRHfRhpJPMFMlQKajIxYzlEzGa5VsKcOb481BqG31ZOIdyEOSxzf/D956/Dp2BTm06AypE2d07JRwPoivUnvGZZkCFiD4qCYhIn5N0Hbs60bK5NaMkl/RDCXWHEPaFM45Dtnwr7IV2rYxXqvdJwYR8rUdK+vxEREREgpkqRJS1TFbjcC/CiPCZxR/H5uYd+PTis+G0ZF78jaSB8pA/AktvEGzCnAqMn1mmNe4cLUKxIN5ueQPzCxdpd2PrdZl3OdL+hWIhvFL7Gtr87Xi7fhVOnXTycC8SER2AeCIGT7gTdoMTJn2yd0CuqQA5yEGuuWC4F4+IspQESKTXidFi1EptBTxBePZ4VOP3/Oq8jKxo6YESDUVVY3ghmSfOUqeWjZLiLHEe5ndCREREo0FOIpUXO0Z4vV643W54PB64XMkBLyLKDl1N3Wit7cKEeWWqbNRYtbp2Pe5582H86vwfqP4pI100EsMrD6xCe6MHZ3/9eJgsozcY9nrTy6jt2YV8cwFWjDuddzQepBZfK95rWY+TJhw/3ItCRAeo0V+H7ogHLmMuSm0jswwlEY1csWgM4Z5kNon0NElp29augiS5Vbmw9DZ7l6wTyUqRwEnhpL6gbdgfQY4O6nohvVE8ERER0VDFDUb+aBwRUW9q/7Z39iDQHYLBqMeE+WOznJIv5MfFf/0WugJezK6Yii8ddSFGupA/jIZtrQj0hNC0ow1VM8owWi0oXIJgNIBFxUsZUDkAvrAP9d2NmFIwSX1fbC9iQIUoS0TjEehydNDl6LWsFCn3ZTWMzMxJIho5/J0BRPxhWPNsMNmSN91I03hPvVf1M0kPqhgshmSflLR7Qo1WI4qnFiFHn3nOlXouIiIiokOFmSpElDW6mrtRu74ZM46eAEO/xpFjycNrnsRLW97Ej87+NnKt2XEca63tQCgQwbipJRht4om4GlBMkT+rDKgMnifowU9e+wVa/W34wdHfxcS8CcO9SEQ0SB3BVrSHkg3o881F2nQeB4nGtv5N4iXDpLupW8VD0st0ddZ2qT4nUpbLXmBT06Q/iqfeo7JPZHrqOXhcISIiokONmSpENCrlljjVYyyRC8i/rfw3Fo2fg+mlybv4z5t/Ks5fcBpGsrpNTarMV0l1shRDUVU+RqPusBcvNz6PxUXLUGIrVdN4wX9g7CY7ci1u+CI+GHQ8LSHKJnqdAQkkVIYektV4FB4HicYG6V0Si8Qz+pR4G7sR6ArAWeKALT8ZKJESXKHekl7pwRGL26J+Nz2zRG/UI7964HkjjytEREQ0knD0gohGNLnwikXjquTXWPT7l/6Knz9zpwqoPH7Fn2E2mEb8RWXtxkY8/afXYbGbcc63ToQjL3lBPRpt7FqP7ogXa9tXYYWVPVQOhgRSvnHEFfBH/Ci0sYk10UgViPrREWqF25QHhzF515b0TTHpTCz1RTTKSfZIJBiF3qhTjeLVtHAMrVvbgBygZHpx3zlQTrJsr2SnpEhjeVeZE/repvEpVrfl8L4RIiIioiHSV6+EiGgEatnZidWPf4C2ui6MRRcuOgsVuaX45KIzYcySu/jLaoqQX56LyumlsPY2Eh2tFhUegcnuqTim7EQGVA7A2/Wr8OyOF7TvbUYrAypEI1xP1AtftBsdoTZtmhz3GFAhGl7r1q0bsueSYIi/04/uZinV1Vcl3NfmR1dtFwJdQW2azqhTARSdTod4NK5Nt+fbVNN4Z1p2uRwrJGvFbB/5NwcRERERDUZ2jNAR0ZgkF3NN29sRDkQR8IYwFnQHfXhjx2qcMuMY9X2RswCv/L+HVIbKSC//oNMn4/RGswFnXnGsKucwGi+cg7EgLPrknZV6nR6LipYO9yJllR2dO/H7lXeorytd4zCtcMpwLxIR7eXvrwRRzDoLTPpkcDzPVIhYPIZ8c+FwLx4RSaDD58OVV16Jv/71r7jkkktw2223wWYbfHaw9DIJeIKq9FaqTJcESbwN3epLmSaluFJN4uWROtdTs+bkqCbx6dOENJgnIiIiGu2YqUJEI5ZcrM0+oQYTF1agYnoxRrtOnwcrfvdZfPnv12B17Xpt+kgPqHjbffjXL5/D9nfrtGkmq3FUBlRaA814fPcj2OrZPNyLkrUm5FbjxAnHqceUgmSfICIaWVqCjWj016lyX+ml+kptFVqQhYiGz8aNG7Fk8RI89OBD+PJFl6l/5XuZLkFRudklRb7v2N2Jli2tqoxXSjQcQ9AT1HqdaNlnuRbY8q0Zr2fLs6KwpgCOoszMtP4BFSIiIqKxgmdBRDSiycVahdwFpxt9A/T95dndWFg1G+Xu7AogbVm5C52NXqz833rV/2Y0a/I3IhKPoLZnF+KJ0f1eh1I0HlV3uKcGbC6e+xlcMvez0OXwNIRoJJDjWfoxTXql6KCDUTeyg/pEY9E999yDxYsXqwbxTz7wFG767k144oEnEQ1HsXjRYvz+Z7fC0+DV5pe/u9L/JB6Jq0BKisluhKPYMSCA4q5ww1Xm0rJUiIiIiGignER6sdQxwOv1wu12w+PxwOVKNtkkopFF7q7raupBXrlzVGY7pNvashPj8spgNSbLSXmDPchBDpyW7KlRH48n8M7/3sfMoyfBkTt6m9IL+ZO53bsV1c6J6q5t+nCBSAC/XXk7imyFuHTeRaP+M02UbTzhTrQFm5BnLsoo7SVBFgY+iUYGlX0SjWPte2uxaNEirDhuBe645Q+wWfvOu/x+H77yna/g2ZefxXOPPocTzz5R+1moJ4QcXQ4MFuOYuFGJiIiI6FDHDXilREQjTv2mVmx4eQe2vt1XTmo0emDVf3Hq7y/GT5+6XZvmsjhGfEBFLux3rN2jNTCVi/MjzpwzagMq7cE27b1KQGCSe8qQBlQkiLh95S6s/d969W96yY7RYGvHdqxv2YjX695Es69luBeHiPYiloihJ9J3Z7tgQIVoeMg5hzSMTw+INH/Qgs7aLixYsABLj1iKjq4OWC2ZGSZWq01Nl58ff+bxGT8zO8ww2UwMqBARERENEd5mS0Qj8mJS7qbLLXFgNCt2FiAUDWNX+x5EY1EY9Ias2DYv/eMdbF1Vi0WnzcCCFTMwmu3q3oG3ml9DjWsKFhUdMeRZFuuf3YTHfvo0PM3JprDCXeLEWdecglknT8NoMKdkFr44/xJUuipQ6igZ7sUhGtMi8TA6Q22wG5ywG51qmsvoTmZIGt3DvXhEY/OcN+3cQsp2BboCcJe7YM219jV+TwDx3n4oN950I0499VS8/MbLOO7I47TffemNl7B63Wo8/fTT0OkYFCUiIiI6lFj+i4hGpEBPCBa7adSVCurwdSHfnqt9/9bOd3FE9bysep8fvLkDrz38Lo6+YAGmLZ2A0R5UebP5VUxw1mBJ8fIhvXNbAir3XfWwGijJ0LsrfO7X52dtYGVn126U2ItgM47O7CWibNUaaEJnuA0WvQ1VjonDvThEY5Y0jO+q86h/i6YUaueB3sZu+Dv8sBXY4CpNBj7lcl16okhwReaT75cvW45wIIyf/uBn2nNe/cPvwWK34PU3Xs+q80oiIiKibIwbMKhCRHQYSK+Uax79OdbUvo9nvv63EV/i68PupPS29cBVOLoziVJaA80otBQP6QCFlPj62cm/z8hQyZAjGSsuXP3MldDps+tu03XN7+O3b9+GmryJ+O7yq2DUG4d7kYjGrGAsAH2OXms4H41H0BSoV71TrHo7B16JDgPJPPF3BGB2muEoSp7/SXmv5k0t6saKwskFMJiS2cqqkXwioQVQ9kWyUSRbZW/TV6xYcQjfDREREdHodSBxg5Ffa4aIxgS5iNyxph7jZ5fCbE8O/owmupwcvFu7Hg2eFryxYzVOmXEMskXthkasf20bVly6HAajXk0bzQEVyU6psFfCqEsGA4qsQ1+yaufq2n0HVEQC8DR51Xw1S6qRTdxmF3JydKrvjPRpMIJBFaLh0BZsRkeoFS5jHkptFWqaQWfEOHt2HVOIsukGlO6mbkQCUeRV5UJnSN4UEY8lEAlEoNNLkCQZVJEyt3mVuSp4ou89txIGKfU1CBI4WbNmjdbzTT1nTg7mzZs35O+LiIiIiAZiUIWIRoRd6xrRvKMDvq4A5p0yZVTcPZveJ8VhtuPWT92svl5QNQvZIhyM4MX730HIF8b6l7di3knZWY5qsD7oXI+17atRbC3F8eUnH7JGzd2tPUM630hSnTseNxxzDcqdZSqwQkSHR2pwNfX3025wqKBK6mej4e8q0UgRCUYQ6AyobFJHcfJGE/mMhXrCqlSX/Fyawwuz0wSd3gWjNfMmA8lcOVjyWvPnz/+I74KIiIiIDlZ21RQholGrbHIBXEV2TJhfPioGfjY0bMEpv78Iz296Q5smwZRsCqgIk8WIky46AtOWTcDs46ZgtCu2lsCQY0SpteyQBVSEs8gxpPMNp3gijvvX/xPNPS3atCp3JQMqRIdRT6Qbu3u2oSvcrk2zGuyY4JyqslRGw99VouES9AZVr5NIMKpNi0fiqqRXwBPMmFfKe7krXDBY+gIoUtpLms4bzPy7SERERDRaMKhCRCOCPdeKOSdNQm5JsilntvvXu09ic/MO/N8zd2SUZsgGoUAYnta+0lQVU0pwzCcWQt9bxmI0K7AU4fTxH8fM/DmH9HUmLKyCW/b1fY1zSk+VUpeab6R7aMO/8PjWJ3HLm79GNN434EREh08sEUE4HoIn3JnxNydVxpCIBtfvTPqf+Np8GdP9ndITxY+IP6xNk6wTW75N65GSIsETeYyFcyYiIiKisYxne0Q07BewKaPpTtrvrvgKvnjkp3D/pb/LqvfV3eHDf377Ip74w2sI9IQw2sng43vta+CL9JXZshlsh/x1pVzIWdeckvym/+7R+/1ZV6/Iiib1p05aoUp9fXLG+cxOIToM4okYOkJt8Ef7jltOYy4KLaWodEzMqr85RMPZy08CKNLrJCUejcNT70V3S09GcNLisqgAisHS9zdO+qW4ypwqgEJEREREY8/IH60holEr6Avjncc2on5za9Zlc6STZf/n6v/h6n//nzbNYjTjxjO+iQJHHrKJ0WRQgS51t2Z3ZkmL0ej9jnexofN9vNjwrGqqfjjNOnkaPvfr8+EuzszOcpe41HT5+UiVnpGSa3HjZyfcjMUVC4d1mYjGivZQK9qCTWgP9pXck3KF+eZC6HMG1+SaaKyQc7RoKKrKdKWfa/rbfSqAkl6+S5rGm+wm2PKsSMT75pXvJYBispkO+/ITERER0cjEW0qJaNg0bm1DOBBFW20XyqcUIlvtaKvFtx/5CWLxGFbMOBonTF2ObGVxmHHql46C0WyA3T36776c5J6K2p7dmJU/d1gGIyVwMuOEKdi5ulY1pZceKlLyayRnqOz21OLXb92KyxZ+AdMLp6ppeh0HcokOlUg8ohLYDL2lvHJNBfBFuuEy5bEBPVEa+TxIk3iJnRhTWSUJoG1bsteQaXKhCpwIo80IYyAKvbHv75d8lvKrs+tmGCIiIiIaHjmJbL49/CB4vV643W54PB64XK7hXhyiMU0OP03b2lWDeumpks1+9+Jf1J3CXz3ms1k1wCx3Yq56agPKJhZi3LRSjEWSocK7uwfvD6vvxqu1r2NqwWRcd/TVHNAlOoS6Qu1oDTbBZcpFibVCm85gCo11qQCKBEVydMnPgq/dj+6mbpidJuRV9QVH2nd2qOCKq9wJY1oDeSIiIiKig40bMFOFiIaNDAiVTc6+DJVAOIhfPHcXLjv60yh2FqhpXz/+88hGH7y5A+8+uwkbLEZ88tpTYXWYMZpJ2ao3m1/FtNwZKLKWqGkMqByYS+d9Dg6jHedMO4uDukSHQHrAxKS3IIEEIvFwxnR+9mgskX0/EUuoPiYp7Ts6EA1GkTc+F+becxeVnaI+GpmfD8k+4WeGiIiIiIbSyK0vQkSjlrfVl9U9VK56+Ie489W/47uP/ATZbuoR1aiYXIzl58wd9QEVsaHzPezx1eL1ppcz+oLQ/m3r2K59bdKb8Nk5n4LdZBvWZSIabYJRP+p9u9EV7tCm2Qx2VDlqMM4+gYPCNHYCKGnniGF/GC2bWtGxq+9zIQxSxisn2Vw+RUp6lUwvRl5Vbsa8/OwQERER0VBjpgoRHVY9HX6se24rnPk2zD6xBnpD9mUJfPOES/F+/SZcuvwTyEY+T0DrlyLr/2NfPXrMDDjMzJsDT7gL03NnwaDjn8APIwNb/1j/EJ7Y9jS+NP8SHFd9zHAvEtGoFYwF4Yt2IxQLIteUrx2XLfrsLo9JtC/9y9h1N3fD3xGAs8QBW34ycC/lvaRUqeqVEk9opb5cZS64x+Vk/P5YOZchIiIiouHHESUiOqyCPWHo9TqY7aasCajsbKvDjrY6nDgt2YB+WmkNXv7WgzDos+8Qunt9A56/7238f/buA7zusmwD+J2z98neSZOmm+4FbRkt0JYNIrhApiKgHwiK4mAJwid8TkCWIkMUAVFRNpTuSktLF90jo9nr7D2+633TnCZ0JWmSs+4f17lOzj8nydvknJPw3v/neU65aDImzKtKi02InjNTRJByetGZ8V5S0hCPDfXB8Mkd9MR7OUQptZnsCjmgylBDr+raPBZzUwIRf69AhSgVieoS2wE7Qv4Q8sbk9nq8i+Ak6DtUSSpClZyqbKi0ql7369kKjIiIiIhouCXfjiARJbXc8kyYc41Ilv2irQ078YUnvwWlQoH3b/0zyrKK5fFkDFSEjkY7QoGwDFfGzx2Z8ht33pAXSxvex5jM8aiyjI73cpLS5RMuxZTCyXIwPRENjg5/K9r9LdArjSgzVcpjigwF8vVF8V4a0aDyOXyy+kRjVMOUZ5LHMpQZCHqDMkAJ+cNds1AA6LMM0Fl0MkDpicPliYiIiCjRJOeuIBElNa0hef7neHzhKEwsHgO1Ug1lCrSLmnr2ONn6a9SM8pQPVIT9zj2wBTqxtWMjRpgqoFIkz2MvXjq9nXh//0e4bPwlcpNXPE4YqBCdmEg0gmg0Evs9IqpSbIF2WaXy+RZIRMnK2eJC0BOEtcQiK0yESDiKgDsgalCAvK77icd7931UWmXvOSlIjipmIiIiIkpvyb9DSERJoWZLE3LLrDBmJn5v+I/3b8SsEZOhUCigVCjx7FWPwKozy9vJxu8JYMuy3Zi+eAIUiq7e42NmVyBdiNkpYiB9pbmKgUofiO/VAyseRpO7WQYqIlghohPjDNjR4muASW1Fgb6r2lGt0GCkeRzDFEpKom2X1+aVj19Tflf1ieB3+OX7RBVKd6gi2r1aisxyiHxPoiKFiIiIiChZJd8OIRElnY4GB2q3NGHju7sQ8AWRyO5645f44tM34k9rXo0dyzJYkzJQiUSi+M/vl2PDe9ux7s0tSBfekEee+S2IDZ/JOdNg1ljivaykIGbOXDr+YhSZCnB6edcMISI6MSKcF7OdvCF37LVJYKBCycDv8sPZ7EKwx99vYiaKu80Dj83b677GXENXgKI/FKAoNUo5dJ4tvIiIiIgolbBShYiGnDFTh5xSK3QmDTQJ/j/VVXkj5EZXh9uGZCcqU6adPQ7/fWMzRk0vRzqw+zuxpOE9lJsqMT13Fjct+9GaSFSmCPPKTsHs4hmy5R0R9U8wEkCHvw1apU4OnBfE3JRiwwgYVSa+JlFCn4gRcPkRDkZgzDHEjot5KH6nHwplRiwYUelU0GfqodarerWvE8eIiIiIiNIBQxUiGnJagwYTTq+UA0kTTTAcgs1jR545R96++pQvYuaISZhYPBbJKhQIQaXpenkfObUU5ROKDvYpT30dgQ74wj60eJsQioagzmAwcDxL9i/FsppV+NGp34NO1dWOhYEK0cC4g07YAx1QZahhVWfJzWbZIkltjvfSiGLCwXCsRVd3VUk0HIGtzi7fNmTpkaHoCkq0Zq0MVESQ0k2hVMiZKERERERE6YqhChENmc8P3+3+H/REsb+tDt9++S7ZmuUf33oKKqVKrjdZAxURWq19cyvqtjfholvmx6qC0iVQEcTsFCWUKDAUQc0ZKsflCrjwyrbX4Qy4sKxmJRZXnR3vJRElFV/II/p4QafsOkPfosmCJ+yOVakQxfvvMNGqSwQoIhzp/pvM0+6Bu90DfZYe1oOhikKlgMaogVKtkFUryoN/s4mABeJCREREREQxyTckgIiS5n/ktyzZi+pNjQiHIkhEGpUa1e0HZLiyt60Wyc7r9mPXuhp0NNpR+1kj0kWHr10OWO9Wbq6AVqmN65qShUljwvfm3Iovjr8Ei0aeFe/lECWVTn87at370OZrih0TbfSKDeUwsNUXxeHvLlGBIgbF99S2u01WoIQD4dgxMTRepVXJAKWbeLxmV2TBWmKFUsX/RSQiIiIiOhZWqhDRkOhsdMLe7IKz3YOiUTlQqjRIBP5QANqDaynJLMTTVzyEUfkVKLTkIdkZzDosvn4u7K1OjJqRHjNUmjwNWN64BHm6ApxedKasOqJj84X8sPlsKDQVyNujs6vkhYiOv2kt/uuePyRaeolARbT6ikYjyDh4nGg4iABFtOHqrgL22nxwNDhktYkIR7qDEpVejWg4ikj40AkuOotOXoiIiIiIaGD4f39ENCSyiy0Yf1oFqmaUQGtMjEDlP1s+xNyHL8W2xt2xY6eOmpXUgUpbXSdaajtit/NHZGP0zBFIF8oMFTLEfxkZcrOTjs3pd+LBlY/ggRUPo91z6HFDRMfmCblQ49rTqypFrdBgpGUcCg2lDFRoSPUMRISO/R1o3dUGvzsQO6Y+OPNEhH89iYAld1QONIbE+FuMiIiIiCgVxPX/AJcvX44LL7wQxcXFckPsn//853E/ZunSpZg+fTq0Wi1GjRqF5557bljWSkT9l1uWicKqrgHw8SY2GV7/9B00O9vw1Iq/IBU07WvDG48txbt/WAVXpwfpKE+fj7NKz8FpRQugUrD48njEGfa+kA/BcEBWqxBR3wUifjiDDkSihza4lRmsjqPB1TMUCfqCaNnZiva97b3uo1B3Pe56tvQSg+QLxucjp7L3PB+2oSMiIiIiGnxx3YFyu92YMmUKrrvuOlx66aXHvf/+/ftx/vnn48Ybb8RLL72EDz/8EN/4xjdQVFSExYsXD8uaiejYvA4/tEa1bEmRSMSmwsOX/ghT1o7HTad/Hakgu9gKS65Jtv3qHkqfDupcNcjR5cKgMsrb2drECO6SgVFjxA/m3oZAOIBic1G8l0OUkCLRMGyBDtnWy6LJlMf0SiPy9cUwq62x9l9Eg8nV6oanwwNjjgHG3K7fb0q1Ug6a765W6f7bylxogrXYEmv9FQtPmJ8QEREREQ2LjOjna8TjRPyPwD/+8Q9ccsklR73PD3/4Q7z55pvYunVr7NhXvvIV2Gw2vPPOO336Og6HA1arFXa7HRaLZVDWTkSI/Q//hrd2yrMsJ5xeCWOmfli+bjgcxooVK9DY2ChD1tNOOw2haBiPvP8UdCodvr/wm0gV4nvb86xTr8sPrT7xQqyhUuPcj9XNy2FWW7Cw9DwOpO+DLS2fIRQJYVrhlHgvhSgp2PztaPE1ylCl0jyGZ/rToP+tZK93yCqUvFG5sWDE1eKSwYrOqkNmqTV2/6A3CKVWBUWPAIWIiIiIiAZff3KDpOqVsmbNGpx99tm9jokKle9+97tH/Ri/3y8vPb85RDQ0vE4/wqGuVhTaYerd/frrr+PW276LA7V1sWOl5WW4/ns34g+Nb8gzii+bfi4qckqR7HzuAD54bg0mzKvCyKld/x69Kb1ChVxdnqxQKTQUQaNgf/jj2dm+G4+s/g2UCiXuO+MnKLeWxXtJRAknGAnKQfOagyGtRZMFZ9Aur4lOhN/lh6fDK1tzmfNN8pgIUQKegBweH/KHoNZ3VZrqMvXQmDRQfa7ytPv9RERERESUOJIqVGlqakJBQUGvY+K2CEq8Xi/0+sPPin/ooYdw3333DeMqidKXqEyZccF4Ga6oNMphCVQuu+wy6EZlIu/rE6DKMyDU6kH7fxvxs+/+FJffeQ2uv/KalAhUhO2r96JhTys6mxwon1AIlSapXsIHhVFtwuKyC6BVaHn2eB9UZVViYv4EGNR6FJkK470cooTjCNjQ5K2XYW2psUIeE2F8mWlkvJdGw2jTpk2yJfGJcLe5EfAEZWuu7t/PoirF7/R3tfDK77qf+N0lWneJClOV9tDvcfl30zD87URERERERCcu5fvF/OhHP5IlO92XurpDZ7MT0eBTqZUwZxuGpeWXqFARgUrWpaOhKTFDoVHKa3FbHF/zlw9x1th5SBVTzhqH8XNG4vybT0+bQEW0O/usYwvafK2xYzqljoHKMYgh2t2dPVUKFb578rdx88wboFbybGcioWfnW71K/L6KykqVngPoKT2I+Y7XXnstpk6dKq89Hs9xP0YMh3e1umS7rp58Dr8MUIKeYOyYxqCRIYu49KSz6KAxanrNRCEiIiIiouSRVKFKYWEhmpubex0Tt0WPsyNVqQharVa+v+eFiAZX+wE7bM3OYf2aYoaKaPllOqXosA12cdt4ShHqamrl/ZJZw+6W2Aag6Kd+2pemI7voUK/1VLfPuQebOzZgacMH8IW88V5OwguEg3h07ZN4a8+7sWMapYaDtYnEpnfYi3p3NVp9TbFjaoUGFabRsjKFz5P0sm3bNsyeNRuv/O0V3HDVt+S1uC2OdxNtusScEzHXpJuoPnG1uOHu8PQK6AzZepgLTL3adYlB88YcowxXiIiIiIgodSTV/z3OmTMHH374Ya9j77//vjxORPER9Iew6+NabPlwrwxXhosYSi+Ill9Hos419LpfMvr431vwn98vx8YPdiBdjTBVIE+Xj4nZU6BTHTk8p0PWNazH2oZP8Oq219Hu6Yj3cogSSjgSgjvkgiPQ2asqpXuWCqWP559/HrNmzUI4FMHbL7+D+35wH956+W35N404/sILL8j7iXkooiJFVKB0Ey27xDB5U66x1+fUZ+phzDX2aulFRERERESpKa5/9btcLuzZsyd2e//+/di4cSOys7NRXl4uW3fV19fH/sfmxhtvxGOPPYYf/OAHuO6667BkyRK88sorePPNN+P4ryBKb6IqJK88E/ZWN7KKzMP2dYuKiuS1mKEiWn59XrDN0+t+yai7jVokcuhM2HSjUqhxZslinkHeR3NLT0a9ox4n5U9AjiE73sshihtRQeAKOuTvKJO6q0rZoDIhR5sPs9rK15Q0tn79elxzzTVYNH8RnnjkSRj0Xb9rx1aNxdt/fQs33nEjrr76apx00kmYUDVBvk8Mmu8mWnZllqZPxSgRERERER0uI9qzbn2YLV26FAsWLDjsuPgfmeeee07+D091dbW8X8+Pue2222RpfmlpKe666y55v74SQ+2tVqucr8JWYESDR5ztqVQN3yZVMBhEXmkBAlbIGSo9W4CJl7XO13cjN2DG/r37oFQm7+DXtrpO5JZlIV2Is8c/blmFQkMxKs1V8V5OUmh2tcgARcxPIaIu9kAHmr0NUCvUqDCN4RwminG1uTH/7DOQgQy88ed/H/b3w4VXXgCNXoNVq1fxcUNERERElEYc/cgN4roDM3/+/F69iD9PBCtH+phPP/10iFdGRMcjnrs9NxuGM1ARHlv+ApTzcuH9527g9d1yhopo+SUqVNz/bYRvjw2/ee0PSRWotNZ2YNOSXVhw5SwoVV3rTqdARdjv3Itq5z7UuWpQqC86OESajmZn2y78339/h5lF03DD9Ou4AUhpSwSy4WhIzkgRzOpMdPjbZFVKFFG5gU7px9Phka27zAXmWLWJWqfC927+Pr72ra9i2eplmD9vfuz+S1cvxfpN6/Huu+/y9ZSIiIiIiI6Kp7US0YAc2NYCr9OPymnFUMehf/il087BG6e9j5lzv4SXH30BB148NFi2bES5DFQuvfRSJItQMIx3/7gaHocP1nwTZp03Md5LiouR5lHo8LWhyFDCQKUP3EEPfCEfGl1N8If90Kl08V4S0bBzBZ1o8h6ATqlHqbFCHhPtvcQAem6Mp49wMIyQPwSt6dCMHJ/Tj4ArAI3RHwtVxND4y66+DL979rd45PGHkZ11qFXiI489jDmnzMHChQvj8m8gIiIiIqLkENf2X/HA9l9EJ04Mcl37z22IhCMYO6cc+ZXxmd3gDwWgVWkQDoexYsUKOZRezFA57bTTkqpCpduBnc34bOUeLLhiNjQ6NdJFOBqGAgpufg7Q5uatGJszGloVh21TegqE/ah27ZZVKuWmKigzku/1n06sYlaEKW172iEKkgrG5cu5J4LP4UM4EIbWrD1sgLyoRjnnnHMO+7zi+KJFi4bpX0FERERERMmYGzBUIaIBsbe60FrdiaqZpcO2Gb6reT/8IT8mlYxDKgiHwrLax5SVvhUZwUgAyxo+RK4uH1NypjNYOQ7xK/udve/jtPK5MGlM8V4OUVxeM0RbLxGc5OoKYse9ITd0SgNfQ9KACErc7R5oDGrZ1qv7tbF1VxsUKgUyyzKh0hw/WBMfs3Hjxl6tiMXjZ+rUqXwcERERERGlIUeyzFQhouRlzTPJy3Bpc3Xg6udvR5urEy9c8yvMGTkdyczn8uO9P62B2+7FF757JnQ92pWkkyZPI1p9LbAFOjHaOg5GtTHeS0poL3/2Gv6z+22sa1iPn572Q9niiCjdqlLEEPoMKJClzY1VpehVfO1IRaICxe8KQGfVxmaNiRAk6AkiGonCfDBXEyFI3ujcWIVKX4iPmTZt2lAtnYiIiIiIUhhDFSLq19wPsZmh1gz/S4daqUZFTikUGUqMLRiJZCfOi3XbvPB5/LC1OlGYpqFKmWkEZuadghxtLgOVPphXNgdLa1bg9PJ5DFQoLXhDHkQQgVHVFeIbVCZYNdkwqy2ybSClFtFWVKE89HO1HbAj5AtBocyAPlMvj2mNWliKzNCYNL0+tj+BChERERER0Ylg+y8i6rM96w6grc6G0bPLkFNqHfavHwyHZMVKkTUfqaCz2SHTlazC9Hot8oW8cvaBUsG5B/2dGyB4gh4Y1OnbMo7ShzNgR6O3Tr5ecOh8agsFwrDV2hAJRZA3Njf2s3a1uBDwBGHIMUBnTs+TD4iIiIiIKPFyA57iR0R9PnvU3uJC0BeCUj18Lx27W/bH3lYrVUkdqGxbvU8Oo++WVWBJu0DFHXTjg/p3sLJpqRxQT8fW5GrGPct+jkZnU+wYAxVK5QAxHAnFbhvVJigzVNArDbJahVKDqDwRYYnX7o0dU6oUCAdC8m8NMVi+mynfhOyKLAYqRERERESUUBiqEFGfiHYc084ZgwmnVyLz4GDYofa3T/6DM3/zNTy94i9Idns21GLlqxvwwXP/hcvmQbpyh1zwhNywBzrhD/vivZyE9+Lmv2Jv5z78adOL8V4K0ZC3+apx7UGTtz52TLR7rDSPQaGhNDY7hZIvKBNzUcT8k25+dwCuVje8nb5erbuyRmQhf2weVFp2JyYiIiIiosTG/2shon4FK8PZ9mtrw065IWP3OpHsKieXoLAyB6XjC2G0dvWFT0f5+gKcUXQWTGozDBwsfVw3zLgOz238M66eckW8l0I0pERoEoj4EYoEZbWKUtH1JypnByW3jupOOVQ+qzwT2oPVJlqTBgGLFtrPzRLTGHvPSCEiIiIiIkpUnKlCRMfkcwfgbHMjtzxz2PvZi5enD3eswlnj5iVlL32/NwCtXnPUAbzpwu7vhEaphV7FtlVH88knn+DOH9+J/33wfzFifAXyjLnxXhLRkBGt/+yBDvl2tjYvdtwZdMiwlVUpySccCsPd5pGtu0SA0s3e4IDX5oW5wAxjDn8HEBERERFR4uJMFSIaNPvWH8COVTWo3tQ4LF/PE/DKMEUQQcrZ409NykClpaYdrzz0Lrav3hc7lo6BSoe/HR/Uv4slDe/Bx3ZfR/XCCy/gw/c/xH2/+xm+/8GPsbVlW7yXRDRkvCE32nzNaPe19pqtZFZbGKgkAfE7OuAJIOgNxo6J39Oedg/8Tj/Cwd4zUQrG5TNQISIiIiKilJJ+O3xE1K+NE2OWQQ6Qza/IGvKv5wv68bVnb8EP//G/CIYPDStORgd2tcDr9GP7mv2yQiVdaRQauUmqzlBDgeQLx4ZSTU0N1q9fjw0bNuCV116BQqXA8reXoWV3E95a/rZ8P1EqCEYCcmZKN6PKDJPKgnx9ERT8UzQp/hboWdjubnOjY3+nvO550oAp3whrqVXOR+km/n7oeZuIiIiIiCgVsP0XER1XKBCCSjP0I5iW7FyNq5//HixaE976n+cwIrsEyUq8tG5dvgdjT66ARqdGOhMtfXRKHdQK9svvqWcFltiQnHbtLHz6p3W9Qrg0+xVNKcgddKLeUwu1Qo0K0+ikrDxMZ44mJ3wOHzJLM6ExdP0uE1UqnbU26Cw6WIv5tzQREREREaUGtv8iokE1HIGKcObYuXj26w/j6SsfSrpAJRQMY8uy3YhEDrUum3TG6LQMVBo99ejwtfdq6cNA5XB//vOfoVJ1PbcW3L0IY8+bIK8FcVy8nygZNDY24t5775XXQjR6KBgUs5RElZoqQ92r1RcllmgkKlt3udsPVRQJYkZKJBhBwO2PHVPr1cgfm8dAhYiIiIiI0tbw7JQSUVJxdXhQs6UJVTNKoDNph/zribPxu89eXjj+NCQbsf53n1mF+t0tcNu9OOWiyUhXLd4mLG9YApVCjUWl58Gs4abb0VxxxRUwFZtxyZkXQ21Qw9PultfCxx9/jOnTp8d7iUR9IsKU++67D+ecvxhhix8ZyECJcYR8nyJDiQrzaPmaQAnW0isSjc36CocisvpE0GfqYseNuQYYsvXQGA4F46w2IiIiIiKidMdQhYgOs3d9PRytbqjUSoyd27UxNlRW71uP3y97EY995WfI1CfnBrzYYBo3pxJt9Z0oG1eAdJalzZYXg8oIg9oY7+UkvN0d++T1ql8ug7PJAUtRcj4HiAQRpnhCLvl2MBKULb8EBiqJxdPpgbPJBZ31UPsulUYJjVENpVopwxYou+7bM0whIiIiIiKiLgxViOgwo2eXYf/GBlROKx7SrxMIBXH7q/fjgK0Jj370HO467xYkEzH7ovts3qppZSgdWwBtmm9AiTZfC0oWQpmhgiKDHSaP5ysnX4aHix5EedkIfPPeb+DZPz2LA4oDyM/Pj/fSiI5bnVLfUI9gOIDPNm+Tx7Zs2orR4SrolHqYS9tQVFQU72WmPTEPRbT1MuaZZHAiiN9bIjgJeoO97ptdkR2nVRIRERERESUXDqonorja1rgbv13yJ/zmS3dDr9YhWXy2cg92flyDC79zBtTa9M6n99h3yTPSR5gr472UpOT3+6HRaGTFk/iVHAgEoNUOfds9ohNx1z134YGfPXDU999zzz1yzgoNHxGUhPwhOfOkW/v+DgQ9QViKzDBkG2InBIT8Yaj1KrbyIiIiIiIiGkBukN47gUTUS9AXglo3vC8LE4pG46krHkQy8bkD2PDudnhdfuxcW42Jp41CumryNGBd6xrZ9seiscrWX3RsTa5mvLXnXXxt4pegU+l6BShig5OBCiWDm751E05ZOBOhSAj125vw7Ru/g2eeeSY2C4hVKsNLhClte9vla0j+uLxYWKLP1MuQpWfQIipVNAZWEhIREREREQ0UQxUikjoaHNi+shoVk4tQMi5vyL6OOBP/F+89iS/PuACVuWVIRjqjBouun4vGvW046dQqpLN8fSEqzCOhVxqQqcmK93ISnnj8//6Tp7G3cz9C4RBumHFdvJdE1GciQFFmKOWGfXFxMfIKz0UGFNhs2izfLwKV7lCFho7f5Yen0wuNXg1jbtfsKqVGiQxFhryEg2GoNF1/4huy9HFeLRERERERUerhaWpEJLVUdyISisDvCQzp13l65V/w2NLn8cWnb4Tb70GycHa40XagM3a7oCIHU88am5atU0Qw0N05UsxNOTl/HqbkTE/L70V/ie/RVyd+CSOs5bhswhfivRyiPnMG7ah27oI90NFrhpJKwfNzhpL4vey1+2TLrm7hYAR+hx8+h7/Xa0tuVQ7yRufGAhUiIiIiIiIaGvy/LiKSxs4pR1ahGbll1iH9Ol+Yeg7e2Pwhrph9MYzarv7uia69wYY3n1ghN62+cNuZMGUlx7qHgghTNrZ/IgfRT86ZJo9xIH3/jM8di58vuIchFCWVUCSICCJwBh2warJ7PX5Fqy8xQ4UtvwbnNbbn97ajulO29sostUJn7Zo7pjVpYMo3QmPs3SpQqe4aRE9ERERERERDi6EKEUliE6dg5NDPw8g35+CfNz4NtTJ5Xn7M2UbozVooFIq03whv9TVjh22bfLvEWIYcXW68l5QU7H4HxCPHou0adJbujyNKvg3+TE0OFBlKWNSZhz1+RZjCofQnJhwIw97gkK27ckflxL7HGpPmsPuK8MSUZ4rDKomIiIiIiEhInl1NIhqSDbPWGhvyyjNlH/ahsq+tFi3OdpxS2VXZkEyBiqDRqXHeDafJ/vVqbXKtfShmqEzNmSHb/jBQ6ZtINILff/IMDjgO4NbZ38aYnFHxXhLRMUWjEbT5W+ALeVBqrJQb/OJi5dykQSGCE7/TL8MRrbmr2kShUiAg2m9GuwIW1cHfNeYCEzIKGcISERERERElEvZsIUpjzXs7sHN1DbYs2RObkTHYOj12XP3c9/DVP/4PPti+EskgFAjjwxc/xr5NB2LHjJn6tA1URCgQjoZjt8dnTcQo65i4rimZOPxOdHg64Al6YVSnb+s4Sh6haAh2fwe8YQ/cIWe8l5MSc1GikUO/Y312HxyNTng6Ds0VEyc2iBZfokpFDJ2PHWdVGxERERERUcJJzx1CIpIylBlQqZXIKbUO2caNTq3FhKLRCISDmFw6Hslg2+q92LuhDrXbGlEyJh9a/eHtV9KFCFNWNy2Xb88rPIPzUwYgU2fF/Qvuxn5bNUosxfFeDtFxiUq0fH2x/L1gUne1rKOB6azphN8VQNaILDkLpbull9qphsbY+3eLztI1M4WIiIiIiIgSG0MVojRWUJmNrCIz1JqheynQq3V44qsPoMXVLuepJIOJp41CW10nxs2pTOtARbD5O9HgOSBb0nT6O9jya4B0Kq0cUE+UqEPoW7yNyNHlQ6vs2ti3aDLjvaykq0bxdHplay9r8aEgKkPZFUSHfMFYqKLWqZFTOfQzzIiIiIiIiGhoZESHqudPgnI4HLBarbDb7bBYePYl0VDZ1rhbVqgki7Z6G3KKh65iJ5nVu+vkgOoiA6ss+uO5TX+WQcrJJbPivRSiY2r01MEZtEOn1KPMOJKvg31sE4loNDb7JBwKo3Vnm3w7f2yenJHSdb+Q/H6K+SlERERERESUGrkB+7gQpZlIOIIdq6rh6tHLfbD9Y+O7WPS7r+Ph954cslktg2nrij34xy8/wKYlO+O9lIQQjATgC/tit0uMZQxU+ml946d4f98SPLbuKTS7WuK9HKJjytMVwqAyokBfwkClD1ytbrTtbpPX3ZQqJQzZepgLzUCPb6FKo2KgQkRERERElGLY/osozRzY3oLWGhvsrW7MunA8FAdbkwym/W118tofCibFBp1Yosh+HG1uGQIlw5qHij/sx9KG9+Vw+jNLFkOr1MZ7SUlpSsEkXDzmfGhVOhSY8uO9HKJevCEP/GEfMrVdLahUCjVKjZXxXlZCcrW64HP4YS2xyLZdglrf9efz508asBSxApqIiIiIiCgdMFQhSjOFVTlw23zILbMOSaAi3H72NzCrYjLmjZyJZHDSqaOQmW9G8ej8tA5UhEDYD0/II0MVsfHKUGVgVAoVvnTSF+O9DKLDiDClzr1Pvi3mp+hVhngvKSGIgCTkC8m2XnrroYHxAU9QHg+4ArFQRQyYzx+XN2S/Q4mIiIiIiCixcaYKEQ0Kt98jh9IrFIm/yeRoc2Hjhzsx74vToDzY954Osfs7xVx6ZGqz4r2UpLOrfQ9GZ1elfThHiT9DRcjXF0OZkb6tqXpWJob8IbTtaZetuwrG5SND0XXc7/LLIfQak0a2+CIiIiIiIqLU1J/cgJUqRGlCDNEdqg2hQCiIa174PnKMWfj15XfJcCWRZ8q8+eQKONvd0OhUOOXiKUh37qALwUgwFqJYGaYMyKbmLXh49a8xs2gabpl9M5QKbsBSYgQHrqADRrUZioyuELlQzk5J30DZa/PKeShasxYWMQNFzETRKOVFpVHK3xPdz1+tidV6RERERERE1Fv6/h81URoJ+kP45N/bse/TeoRDkUH//BsPfIZPajZj6a41ONDZiEQm2rWc+sVpyB+RjUnzxyDduYJOfFD/DpY0vAd7wBbv5SS1Dm+nPOs/W5/NQIUSRouvAY3eOrT5mmPH0ilQCbgDcDa7EA6GDx3MyEA4EJbvO3QoA7mjcpA1IouD5YmIiIiIiOiYWKlClAbaam0IeEPobHCiYnLRoH/+2RVT8dfrH4Uv6Mfo/MQbdhyNROF1+2Ewd1XQlI0vROnYglh7l3SmUWjl3JRQJAS1omteAA3MgorTUZVViUJTYbyXQhRjVFlkYCrm/KRDVU4kGJEVJ92czU4EvSF5zJCll8e0Jg0yyzOhMfR+zWPbPiIiIiIiIuoLzlQhShMd9XaotCpYco1D0o8+UYUCIXz0l3Vor7fjku8ugM7IVi5HGlwdiUahV3VtOBJR8opEIwhFgtAoD73WifZ+qR6aipkoHfs75Dyo/LF5sd9N7jY3gr6QDFTEgHkiIiIiIiKiE80N0qf/A1Gayy6xDmqgsr5mCy57+ia0ONuRyIKBMNrqOuHqdKOltiPey0kI7b42HHDVxm5rlToGKgO0t3M/Hlz5CNo9fGxR/AXCftS69qLeXY1I9FC7q1QLVAKeABwNDng6PLFjohJFniYURa9WX8ZcIzJLrQxUiIiIiIiIaNCkfi8IojRma3bCnGOEUjW4+WkkEsEdrz+IXS378csPnsEvvnAn4mnLli0IBoOx22q1GpMmTZJv601aLP7GPPg9ARRV5SHdOQJ2fNTwHsKRMBaULES+nq2qTqRS69lPn0e1vRZ/3/FP3DD9ungvidKcUqGSlSpRRBGIBKBTJn9YKto3Br1BqHQqORNLCPlC8HR6ZfsuQ7ZBHhOVKdmV2XLQPFs7EhERERER0VBiqEKUorwuPz5bug8anRqTF46G9nO940+EQqHAH7/+MB55/yncfd4tiKf7778fd99992HHv3/rD/HIb/5Xvp1dZI3DyhKTSW1GkaEE3pAXWdqceC8nqYlN3Ftm34y/fvYqrpj4lXgvh9JUOBqGMqNrhoi4LjGOgDJDlTIzVNr3dcjWXmIGis7c1dJMY9LAkK2H1tS7naNalxr/ZiIiIiIiIkps/L9PohQV8Aah1qqgM2mg0Q/+U70ytwy//+oDSIRA5fyTv4ipVbNjxzfuXYv/++0voNWr8cBD98d1jYlGkaHAnILT5NnsqbLpGk8Fpnx89+Rvx3sZlKYcARtavA0oMpTBqDbH2vklI9Gyy9nsktc5ldmx42qDGpFwBNFwJHZMpVHBUsS5eERERERERBQfHFRPlMLE5lQoGBmUKhXxUvGL957ERZPPxoSi0Yg30fJr8uTJMlC5aM7hVQJvrHkZb378d2zevDnWCixdifkp9oAdJ2Wn9/dhsDS5mhGKhFBqKYn3UijNtXgbYQu0w6gyywqVeNq0aROmTJnSp/uKkCTgDsh2Xt2zTsSxlh2t8u280blyRkr3cdHOq3vwPBEREREREdFQ4KB6IpKUauWgtf16ae0/8djS5+Vw+k6PHfHWPUOlZ4VKT93He85aSdcZKiublmJzxwYccB8aTk8DI8KUR9c9ibuW3o8NjRvjvRxKQz3PhcnVFSBPV4hiQ3nc1uN2u3Httddi6tSp8trjOTQ8vudclJ7r9rR7YKuzw91j0LwIWCxFZmRXZEHRYw6YOM5AhYiIiIiIiBIJQxWiFFP7WTM6G52D/nkvmHwW5lXNxPcX3oAsA2eUJAuLxoqJ2VNQYR6JYkNpvJeT9HwhH8waEzQKNSoy41sZQOklGo2g1deEZm99r3Z+WdrcuIUO27Ztw+xZs/HK317BDVd9S16L2+J4N9sBO1p2tMhh893ETBRRiSLaePUkhs6LyhUOmiciIiIiIqJExob6RCnE2eZGzaZG+fb088bCmKkftM+dqbfgL9f9FkpFV0sWSmzirPDujdaTsibLa57tfeJMGhN+MPc2tLhbka3PivdyKI34w350+tvk29ZQNvQqQ1zX8/zzz+Pmm29GWUk53n75HYypGoOvffFruOH2GzBr1iw88cQTuOqqq+RrkShSCbiD0Bi6Wn2p9WrZ4ouIiIiIiIgoGbFShSiF6K06FI/NRcHI7EEJVOo6G/DhjtWx24kUqKjV6thQ+iPpPt59v3Syw/YZVjcvl8Pou8MUBionpvt72V0dUGgqiOt6KP3oVHrk6gpRZCiPe6Cyfv16XHPNNTh19ql46y9vyUBFGFs1Fm//9S3MmzUPV199tbyfKc+InKpsGHMPrZmvR0RERERERJTMWKlClEJUaiWqZpT26l0/UE6fG1c/9z3saa3Bb790D74wdTESiRg+/7Of/Qx33333YbNVRKAihtSL96fbkHpX0IlNbRsQQQRlphEoN1XEe0kpEaj835rfYkzOKFw05nwZqhANtVAkKNt95emKoFJ0/bmWrU2M6o6Txk7EzGkz0WHrgF7XO8DX6w3y+JxT5mD69OkMUIiIiIiIiCjlMFQhSgGRSBSKHj3oB2MTS6fWYuaIybD7XDi5choSya51NehssuOnP/2pvC2CFRGi9CQClbvuugvpxqQ2Y27h6XJAfZmRMz8Gw8amzdjUvAXb23ZiTsnJKDDlx3tJlAYaPQfgDbtlSF5sjN8g+u5B80L3rJOMKHD7jd/D1771VSxbvQzz582P3Xfp6qVYv2k93n33XQYqRERERERElJIyooNxSnsScTgcsFqtsNvtsFgs8V4O0aDYtnw/lCoFKqeXQKMbvKxUvDy0ujqQb85BonB2uPG3B99BJBzFmV+fjVHTy7FlyxYEg4eGIIuWX+lUoSJ+TqFoCGpF+rU6G67v74ra1YgiijNGnBrv5VCa8Id9cih9gb4EWqUubutwtbrhbnPDlG+CMccQe06IY2dfcDaCviAe+un/xu5/5/0/hM6ow6rVqxiqEBERERERUUrmBgxViJKc2+bFhrd2QuxdTTv3xIfTb67fgUnFYxN6M2zn2mo07mnFGV+ZGTtzOl2Jl/BPWv+Ldn8bzixeDI2yaxA0ESUXb8iDcDQEk9rS6/k9nK/FMqD1haDSqWJf193uhrPJBa1Zi6zyzF73F9Uo55xzzmGfRxxftGjRsK2biIiIiIiI6EQxVDkGhiqUipxtbrg6vSgafWL99t/a+hG+9Zcf48rZl+DnF90BhYKzIxKdJ+TGO3X/kWe1n1a4AKWm+LYJSiUra9fg5JKZUCtZAURD/zw+4N4PBRQYYR4FtSI+4Wj7/g4EPUFkjciE1qSVxyKhCEL+ENQG9WEBj/gTcuPGjb3meIn7TJ06NaGDeSIiIiIiIqITyQ04U4UoBZhzjfJyopocrfJakaFMqA0xl82DDe9tx9xLpkCl4ctWTwaVEQuKF8oZKgxUBo9o9/Xk+j/g3b3v454zfhwbFE40FPRKA3RKg2zhJ15/h4MISwLuAHTWQ63FVFoVgt4gQv4wtKauYwqVAhrVkUMe8Xti2rTEmrlFRERERERENNS4S0SUpLxOP1RqJdSDOEPlurlfwklFYzCjfGLChCriDOj3/7QGrbWdchNw/tdmId2Fo2HZKkgMpReytNnyQoPHrDHJy/SiaQxUaNDJmSQhF4wqk3ytFZdSYwUUGcNTHRgJR9CyqxWIArl6NVSariDHlGeEucAEhZJVikRERERERERHw/ZfREkoGoli43u74XP7Mf7UCmQWdG2uD4Tb75FnIauVibtx3LSvDSte3YBzvjkP5uwTr8hJZqFICCuaPoLN34mzS86BWcPXsaFi99lh1pqHbaOb0oP4s6vJewDOoB15uiJkaXOG/OsFXAGEg2EYsrsGzQsd1Z0yXLEUWaAxsMUdERERERERpTcH238RpbaAL4RIJCLDFYPlUOuW/gqFQ7jhpR8jGo3gySsehEV3sN9LgikcmYvL7liY9kPphUg0DF/Ii2AkCE/Iw1BlCEKr7soUq84a7+VQChJVKaLVlzPoGJavJ2akdNba5OunPlMfex0VQ+f5mkpERERERETUfwxViJKQ1qDGtHPGwmPzQqMf+BnGO5v3YW31Rvl2XUcDTioeg0QgzqwWM1TGnVwJY6ZeHuPmXxeNUitnqLiCTuTq8+O9nJSyqXkLnt/0Er498wZUZY+M93IohUSiERmIqhRdr9eZmmzZ+ks8nwdTKBCC1+aDUq2EIavrtVMMmFfpVLIaRQTx3a+lfE0lIiIiIiIiGhiGKkRJSqHIgKlHK5eBECHK6996Ei3O9oQJVISNH+7E+ne2Yde6Glz+w0Vydkw684d9st1XgaFI3tap9PJCgxvk/X37P9HsbsHKujUMVWhQn7+Nnjo5gL7MWBmboTLYgYoQcAfhbnVDpVVCn6mLfa2ckdkJMyeLiIiIiIiIKNkxVCFKIp1NTgS8QeRXZJ3QBpnYQO7++Ekl45BoRk0vw6611Zhy5lgGKmEfPqx/T85fOKPobBQeDFZocInnww/nfg9v7HoTXxx/SbyXQylEzOQJRYLIyAgjGAkMWpjic/jg6fDCkK2H7mAbSJ1FC79TE7vdjYEKERERERER0eDh9F2iJBEORbD74zrsWlOLxt3tA/48m+t34ILHr0NNRz0SlRhG/8U7FmLcKZVId2qFBma1CVqFFnpWpwwpo8aAr068HBolh3bTibf76vkcLjaWo8I06oQCFdG66/OzUgLugGz31U2hVCCrPKtrdgqDFCIiIiIiIqIhwVCFKEmI/bGiUTnQm7UoqMwacIXKj//5MDbVb8cj7z2FRFK/qxkttR2x2+leodLzLPe5hWdgYel5sGoy472clLOvcz82N2+N9zIoRYjXWEfAhv3OnbLKrJtBZYJSoRr452x0oGVXK4K+YOy4PksPU74R5kLToKydiIiIiIiIiPqGoQpRkhBnIJedVIDp54+TQ4gHQpy5/Iev/wJfmLoYD17yAySK9nob3v3javzn8WVoO9CJdOcMOLDbvjN2W5mhhFHNjdPB5gl68di6p/CL1b/Cqro18V4OpQjRqi8cDaPT3zbgzxEOhnu9boeDEUTDUfgd/thxlVYFU54JKg07uRIRERERERENJ/6fOFGCE2cpC92tXMSA+hNRaMnDo1++D4nEnGNEQUWOfDur0Ip01jVD5R14w16oMlSotFTFe0kpS6VQYnLBRHzatAlTC6bEezmUAsTrdIG+BI5gJ7I0uf3++Egogo7qToQCIeSPzZNhumDKM8rZKRqjZghWTURERERERET9kRHt3rFNEw6HA1arFXa7HRaLJd7LITqupj3taK21YdSsUtn6q7/EU/zh957EgrFzMLtiKhJ5ZkwkHIFay6x3c/unOOCuw5nFC6HjHJUh5w545DwVooHMTmn3tcg2fTm6/P5/fCiCUCAMjUEde71u39suj2WVZ0JrGpyh9kREREREREQ0eLkB238RJTARMtRsaYStyYmOevuAPsc/Nr6LR5c+j6/+8VY0OVqRKPzeAGo+a4jdVqoUDFQOmpQ9FYtKz2WgMkR8oUOzLgQGKjRQnpALnYE2tPtbEIgE+vWxYsi8mJNiO2DrVZFoLbXKKhUGKkRERERERESJiTuYRAlMtH6ZfPZo1O9sRfGYvAF9jnNOOkNeZpRPkq2/EkEoGMa7f1iNpv1tOP1LMzDulEqks1ZvM6qd+zAj72R5xrvYWFVldJ25ToMrFAnhgRW/QKmlFFdP/hr0agZXNHAmtQWZmhwYVEZoFEdvzSVCExGiiOd2dwsvtV4tb4vXeVGx0j0rS63jc5+IiIiIiIgokTFUIUpwouXXqJmlA/54g0aPp7/2UGwmSyIQm4jZxVa0N9iQV5aFdBYIB7Cs8UMEI0GYNRaMyzwp3ktKadtad6DaVotWdxsun/AFhirUL6FIEO3+VuTpCmUAKuTri477cZ52D5zNLhmoZB8MVTIUGcgdlRMLU4iIiIiIiIgoOXCmClGCtv0KeIPQDbD9S4O9BeuqN+HiKQuRqMRLj6vTA3O2Eemu1lmN/c69mFd4BlQKZt1DbUfbLtkCbGrh5HgvhZKIeM2qce1BIOJHliYHeUcJU0L+EHx2H7RmraxGkccCIbTv64DeqoO50JxQITcRERERERERoV+5AXfviBJQ3WfNOLC9BZXTS1A8OrdfH+sJeHHt89/HZ427YPPYcfWcy5Ao6ne3oHhUntxQFJd0DlTEBm33xmq5uQJlphHcaB0m43LHxHsJlITE81NUqLT5m2HRHL3CztXqlqGKaOnVHaqoNCo5J4XPcSIiIiIiIqLkx0H1RAm42e5s9yASjkKt6X9bGJ1Ki/ljTkGeKRtnjpuLRPHZyj148/fLseLVDbGhzOlKzE/5oP4dBHsMtuZm69CJRCP4+/Z/we53xHsplGS8IY+8dDOqzSg3VkGr1MnXMa/Ni46aToSD4dh99Jk62eZLY+o9Y4XPcSIiIiIiIqLUwFCFKMGIjbeT5o/ExAUjkVue2e+PVygU+NE5N+PD7/4FZVnFSBRyQzEDMFr1ab25KIKUDW3r0OZrwW77rngvJy28vec9vL7jX7h32c/loHqivnAFHahz70Ojpw7haPiwCjNx7enwIuAKwOfwxz5Oa9IiuyILOosubmsnIiIiIiIioqHD9l9ECUhs1mUV9W/mz/rarZhWOkGGKkK2sf+BzFCaMK8K+SOykVOSWOsabmqFBvOLzkaNaz/Gcyj9sJiUPxHF5hU4t2oRZ9ZQn+lVRqgz1NCpjIiGI3C0uBHwBJBTlRMLVgw5eoT9GmjNvatSiIiIiIiIiCh1cVA9UYII+kNo2d+BojF5UCj6V8nx4Y5VuPaFO3DBpDPx2y/dC7UyMTaObS1OmLIMUKn738Ys1QTCfmiU2ngvI20FwkGoFaq0rpKiYxN/DvnCHhmmCJFwBNGMCJQKlXxf685W2ZYxqzxTDqEnIiIiIiIiotTRn9yA7b+IEsT+jQ3Yt6EBu9bU9PtjOz0OKBUKGDR6qBSJEWDYW13496NL8fbTKxHwBpGuxGbs1o5NeKv2DbiCzngvJ604esxQ0SjVDFTomM/TBk8t6tz7YXd3om1vOzprbDJQEcRjx1xoRtaIzMNmpRARERERERFRekmM09mJCNY8I9oP2FE0JrffH3vZ9HMxOr8C4wtHJczGscfhRSgY7gpUEmNJcRGOhmSrL2/Ygwb3AYzJHB/vJaWFFbWr8cLml3D91KtxSunseC+HEpisSIlEZWu+DGQgoggj5AvL161wKAylqiuo1mfq471UIiIiIiIiIkoADFWIEkTByBw5mL57A+94PAGvDFD06q5hyFNKE2uzvqgqDxd+5wwYLHpodGqkK5VCjTOLF6PBcwBVltHxXk7aVB2srvsvPEEvGl3N8V4OJahINAJPpweuJrccKp9bUgCrJgtapQ6+Mh80Bg0UKhb0EhEREREREVFvnKlClITCkTC++ec70erqwLNffxh55hwkAlGZImbD6E3pPW9AvKzaAzZkarPivZS0fo4sq1mJ+RWnQZHBjXHqel4GPEGoNEoEFQE0euqgiWqhrNNBrVcjuzIrYSr9iIiIiIiIiGh4caYKUZLwuvzY9P5uONs9/fq4mo56rK3ehG2Nu1Hb2YhEEIlE8dGf1+Jfv10CR5sL6Xz2+39bVuK9A2+i2dMU7+WkLaVCiTMrz2CgQjH2A3Z0VnfCa/PKgCUYCcAHLzJHWhioEBEREREREVGfsf0XURxVb2yEo9WN6k2NmHRmVZ8/bmRuOd64+Q/Y01KNGeUTkQh8Th/aDnTCbffB1emBJdeEdBRFFIFwQIYrvrA33stJK5ubt6LJ1YyFI8/kBnmaCwXC8Nl9MOYYkKHoeiyoTRr4XQHxJIVeZUCRoQwGpTE2jJ6IiIiIiIiIqC+4k0AUR1UzS6BUKVA6Ib9P949EIlAoFLFgRVwShcGqx8W3LEBbgw3Fo/v270lFygwlTi2cj3Z/K/L1hfFeTtpw+l14Yv0f4PA7ZJXKWZXz470kihNRhSIqUsLBMJQaJXQWLZxBG9qVrSgdXQG1SiPvZ1Zb471UIiIiIiIiIkpC7ItCFEdigPuYU8phsHQNmz8W0epr4e++jh1Ne5FI/N5Ar2ClfHwR0k0oEkKdqyZ2W2zqM1AZXiaNERePPR8jMytwWvnceC+Hhkk0EoXX7oO9wSHDFEFUKemsOmiMGiiUXVUqnf52BKMB2EIdcV4xEREREREREaVtqPLiiy9i3rx5KC4uRk1N12bib37zG/zrX/8azPURpSS/51AQ0VcPvPUodjbvxcPvPYlEsW/TAbz8wNto2NOKdBWOhrG04QOsbFqKvfZd8V5O2hIb6edULcR9838KjbKrEoFSnwhS7PV2eDu9CPlCseOmfCOyK7KgNWnlY6PQUIocbT5ytQVxXS8RERERERERpWmo8sQTT+D222/HeeedB5vNhnA4LI9nZmbKYKU/Hn/8cVRUVECn0+Hkk0/G2rVrj3l/8fnHjh0LvV6PsrIy3HbbbfD5fAP5ZxDFhbPNjXX/2oa96w/Ezqzui8e/ej++PPNC/PKynyIRiLVvX70Pfk9QhivpSgEFcnV5UCvUsGgy472ctNPmaUc40vU7SOBg+tSek+JodMiqlG4KpQKGLAOMuUYoVF0/ezHPqM3XBEegM3Y/rVKHHF0+Z+0QERERERER0Qkb0O7To48+imeeeQY/+clPoFQqY8dnzpyJLVu29Pnz/O1vf5PhzD333IMNGzZgypQpWLx4MVpaWo54/7/85S+488475f23b9+OP/7xj/Jz/PjHPx7IP4MoLjpkmxog5A/3a4Mvy2DFL7/4E3mdCMTaF18/DydfNAlzvzAV6Up8H6bkTMc5ZRchT5++s2TiwRP04sGVj+DnKx9Gp/fQBjqljp7BczQSgafDC6/Ni0g4EjtuKTLDXGCCUt3194gjYENnoB0t3kaEI4eqV4iIiIiIiIiI4haq7N+/H9OmTTvsuFarhdvt7vPn+dWvfoVvfvObuPbaazFhwgQ8+eSTMBgMePbZZ494/9WrV8uWY1/72tdkdcuiRYvw1a9+9bjVLUSJZMTkIkxcMBKV04uPe9//e/8ZfLhjNRJJOHSoKkClUWLKgrFQKNLr7G9vyIstHRt7zXAwqU3xXlbaqXMcgN3vQJungy2/UozP6Ufb3na4ml2xY2qdGsYcA7LKMpFxjNccqyYLJpVFtvxSKlTDtGIiIiIiIiIiShcDClUqKyuxcePGw46/8847GD9+fJ8+RyAQwPr163H22WcfWoxCIW+vWbPmiB8zd+5c+THdIcq+ffvw1ltvyTZkR+P3++FwOHpdiOItq8gih9Qfy7vbluM3S/6I6168A/vb6pAIvE4fXnvkA+z4734kEnHW+t611dj45lZ53fMs9kH/WtEIljS8i60dm2SwQvEzNmc0HjrzXnz35Jth1BjjvRw6AeI5K4bOx0SjckaKz+HvVa1iLjRDa+6ak9ItGAmizdfcK+QsNpbDpLYM7z+CiIiIiIiIiNLCgE7hFC27vv3tb8tZJmITQ4Qcf/3rX/HQQw/hD3/4Q58+R1tbm5zFUlDQe2isuL1jx44jfoyoUBEfd+qpp8qvGwqFcOONNx6z/ZdY03333dfPfyHR4Gva24688sxYi5rjWTBmjpyhUpZZhMrcMiSCHR9Xw97ixKfv70DVtDKotfE/C3zr+zvwxkPvwt7sjB2zFphx0Y8WY+LCcYP+9cTMjglZk7ClfSMqLVWD/vmpf/KN+chnnpLUnM1OuNs9sBRZYMjSy2NiwLwIUHRW3THbJIqQs861F6FoCMoMFbK0OcO4ciIiIiIiIiJKRxnR/kzK7uGll17Cvffei71798rbxcXFMry4/vrr+/TxDQ0NKCkpkS295syZEzv+gx/8AMuWLcPHH3982McsXboUX/nKV/DAAw/IofZ79uzBrbfeKluI3XXXXUetVBGXbqJSRQy4t9vtsFh4FisNj7Y6G7avqIbOpMGM88fJ4cp90fPM60Qg1vPpBztQNbUU1jxzQgQqL972GvD5V7GD366v//qyIQlWhFAkBBVbCw078X1/ZsOfcOGY81BqKYn3cmgAryFBbxBqvTr2uuZqdcPV4oIuU4fMkv7PjLL522EP2lCkL4VGqR2CVRMRERERERFRqnM4HLBarX3KDQa8I3jFFVfIi8fjgcvlQn5+/wY05+bmyiH3zc3NvY6L24WFhUf8GBGcfP3rX8c3vvENeXvSpElyhssNN9yAn/zkJ7J92JHmvIgLUTyJ6hStUSMrVY4VqLQ62/H+jpX42qyLEyZMkS15MrrWIi7TF/atxd9wtAsSFSqHBSqCOJYBvPG/72HCmWP6HGIdjd3fiS0dm3BywTyoFV1t2xioxMc/d/4HK+vWYFvbDvx60S/4c0iyQKV9bwdC/hCyK7KgMXbNwdFn6aA1aaDS9e1n6Q25ZVVKd4Bi1WTLSyK8XhIRERERERFR6hvwoPrdu3fLt8Vg+e5ARRyrrq7u0+fQaDSYMWMGPvzww9ixSCQib/esXOlJBDifD05EMCMMsOCGaFhkFZplhUrZxCMHhoI/FMC1L9yBH7z+EB796DkkAvG8Wv2PjVjzz0295x0kgP3ra3u1/DpMFLA3OeT9ToRoL7S86SPUuWuwqX39CX0uOnELKxdgcsFEXD35SgYqCS4cDMNr88Zui9BDrVfJIfPifd2UKmWvypVjsQc6UefejybvgV6VfAxUiIiIiIiIiCihQ5VrrrlGtu36PNGyS7yvP7NZnnnmGTz//PPYvn07brrpJll5cu2118r3X3XVVfjRj34Uu/+FF16IJ554Ai+//LIMdt5//31ZvSKOd4crRIlKqVLIy9FolGqcP+lMZBsz5XUiaK3rxGcr92Lr8j1orm5HInG2ugb1fseaoTKn4DQU6IswKXvaCX0uOnFWnRU/mHMbZhbzZ5HIRGjSuqsN9npHrwDFVGBG/tg86DO7Zqf0l0FlhAIKaBRaRI9YpkZERERERERENLQGdJrvp59+innz5h12/JRTTsF3vvOdPn+eL3/5y2htbcXdd9+NpqYmTJ06Fe+8805seH1tbW2vypSf/vSn8mxUcV1fX4+8vDwZqPz85z8fyD+DaEiJyo4dq6pRMDIb2X2YEyAe2zedfiW+OusiZOoTY95Pfnk2zrxyNnzuAApH5iKRmPNMg3q/I1WoiEBFyNXlYUHxQp4NHyfiZ3HAUY9ya5m8zZ9D4r3W+Z1+2ZLPkG2ItTxUG7pa5Ynj4rY8foxg+YifOxpFIOKHVqmTt9UKDUaYR8fa8BERERERERERJcWgejGwRQyNnzat95nC69evx/z58+F0HqMlTxINnCE6EU172rF7bR2UagVmXTwBas2RM8y11RsxvWwiVEq2MuoPsVH7vwsfhb3FeeS5KhmAtcCCO9/7Tr9nqjR6GrChdS3mF58No3pgoQwNnjd3v4OXP3sNX57wRVww5tx4L4c+x+/yo7PGhgxlBvLH5Mn2Xt1hS/fbAw3TGj118IRcKDeNhFY5sOoWIiIiIiIiIqLBzA0G1P7r9NNPx0MPPYRw+FBLD/G2OHbqqacO5FMSpZy8EZkoGZ+HyqnFRw1UVuxZiy89821c88L34Q36kAga97bivWdXI+gPIZGJoOSiHy3uuvH5fduDty+6c1G/AxWxkbux7RM4gnZs69wySKulgRK5f72zQf5cDGpuqsdbyBeCo8kJT+ehWSli4LyYlWLI0veab3YigYr8+B5PbH/Yf0Kfi4iIiIiIiIhosAzo1Phf/OIXMlgZO3YsTjvtNHlsxYoVMs1ZsmTJoC2OKJmJdjcjp5Uc8z7egA9qpVq2+9KptIi3cCiMJS+uhdvuxafvb8fsCyYhkU1cOA5f//VleOOhd3sNrRcVKiJQEe/vL9Hy64zis7C9cyum5s4c5BVTf4lWXzdMvw7zyuZgQm7/f540uPzuADztHqh0XSFK988oZ2TOoHx+EZ6JMKV7+HyBvgThaCjW/ouIiIiIiIiIKCnbfwkNDQ147LHHsGnTJuj1ekyePFnOU8nOzkYiY/svGmrBQOiolSlHsr1pDypzyqBTxz9UEVpq2vHpBztx1tdPhkrTNQchGVqB7V9fK4fSixkqlTPK+12h4gv7oOPGLVGM1+aFp8MLU54RWnPX61MkFIGj0QGdVSePDeZ8G1/Ii0ZvHcxqK3J1XbPViIiIiIiIiIgSLTcYcKiSrBiq0FAKhyLY8OYOmHIMGDWrFGrt4eGKaPMVDIdg0XFWR6LYY9+FT9s+kTNU8vT58V4OierH2tXY17kfX534JWiUHEo+HD4/A0WEJyJUEQFKZql1yL++M2iXM1RUGWpUmEfLqjEiIiIiIiIiokTLDQY8Gdtms2Ht2rVoaWlBJBLp9b6rrrpqoJ+WKKmJFlQ+T0DOFVAcYZ6AeK7c/ur92NWyH89d/X8oyypGvInZKSte3YDZ50+EKcuAdCN+VgfctQhFg6h31zFUSQCugAvPbfozfCEfis1FWDjyzHgvKeWfA/Z6B/xOP3JGZkN1MAzWZ+mh1Cihs+iG9Gt3V7uICpWwLgyz2sJAhYiIiIiIiIgS1oBClX//+9+44oor4HK5ZGrTs/2HeJuhCqWr7BIrpi0eg1AwLGeqfF6Tsw1razajw92Jus7GhAhVVr2+EXvW16KzyYFLbz/rhIdLJxvxmnVq4XxUO/eiyjIm3sshACaNCf8z60Ysq1mJsyrnx3s5KUcEGeFAOBaeiOeAaKEnKlVEsNJ9XK1Ty8tQrcERtMEe6ECpsTIWomRqE7uFKBERERERERHRgNp/jRkzBueddx4efPBBGAzJdWY7239RvDXYW7ClfgcWTzgdicDV6cH7z63BvEunIn/E4AybTnTiZa/D344cXW68l0I0rMLBMDr2d8oQJW9sXqyiLuAJymu1XjWoc1KOuo5oGNXO3XIIfZ6uEFlaPheJiIiIiIiIKIVnqhiNRmzZsgUjR45EsmGoQkPB1uyEwaKDRn/ks7rDkTCUisQd+t6zBU+qE//Wje3rscP2GU7On4eRllHxXhIdtL+zGgWmfBjUyRXWJ3qIIi4agyb2+G/b3S5DlawRmbHj8eAOOuEP+2Sgki6vP0RERERERESU/LnBgJqWL168GJ988slA10eUUgK+ILavqMb6/+yA2+Y97P17Wqqx4NdfxfqaLUgUW5fvQXN1e+x2um1oRqJdc6CCkUC8l0IH2Xx2PLzmN/jxknvR5GqO93JSgmjl1bqrTc5L6T5/QjzXM8szkT82b1gDFfGca/E2whNyx44Z1WZk6/LS7vWHiIiIiIiIiNJwpsr555+PO+64A9u2bcOkSZOgVvc+O/+iiy4arPURJbxQIAydUQOxZSmqVT7vkfefxr62Wjz8/lN4+fpH476BWL2lAav/sVHOfLn8h4tgyTEinYjv//TcWSgzlSNfXxjv5dBBDr8DWqUGOpUO2fqseC8n6ch5KC4/FEoFNMausERtUAMZgEKlkO/PUHa99qh1A/rVf0I6/K2wBdrhCjpQYR7NQfRERERERERElLQG1P5LoVAcc8MyHA4jUbH9Fw0FsWEZ8IWgFZuYn+MJePHztx/D7Wd9Azmm+G8WB/0hfPD8f5FdZMHJF05GOhBnyVc796HSXBX3UIuOzhP0wBVwId+YH++lJB1niwvuVje0Jg2yRhx6nYmEIjJUibdINIwD7hpka/NgUpvjvRwiIiIiIiIiouGdqZLMGKoQQc5TyFBkpEXAIF7iVjcvR62rGuMyT8K03JnxXhKl6TyfwRL0BeGz+aDL1EGt6wpyQ/4QOqo7oc/Uw5RvjPv3VLTWcwWdyNLmxI7xZ01EREREREREaTtThYiAA9tb0LS3PTaroKffLnkW/9z4HhJFR6Mde9bXxm6LFkHpsrkp/p1FhmLZbihPzwqIROINenHf8oewsWlzvJeSEDZt2tSn+4mKFHe7B16bL3ZMpVUhb0wuzAWmuD+3w5EQalx70eprlO2+usV7XUREREREREREg2HAjdXdbjeWLVuG2tpaBAK9hz3fcsstg7E2ooTldfpRvalRtv0SLb+yig6llyv3rJNzVIQxBZWYUDQ6zmv14e2nV8Jt88r5CqOmlyPdjLSMRqGhGAZVes2PSXT/3v02dnfswZ82vYj/y3sQauXh7fPSgfh9+p3vfAfPPfccrrnmGjz++OMwGAwysPV2euGz+5BZlhlr4yWqUUSWK1p99ZQooYVSoYJVnQlP2AONQhvv5RARERERERERxT9U+fTTT3HeeefB4/HIzaDs7Gy0tbXJTaD8/HyGKpTyxGD6iilFcLa5kVnYez7A3JEz8K3TroBaqYp7oCLojFqMnFKKuh1NKB1bgHQgWg9t7diESdnToFJ0vcwxUEk8l4y9EL6QDyeXzErbQGXbtm24/LLLUV1djRuu+hb+/LcXsW7tOrzy6iuYMGECPB1e2drL5/DBkG2QH6M1a+UlkXhDbhmgiEBFyNWJ15r0aDFIREREREREROllQDNV5s+fjzFjxuDJJ5+UfcZEyxK1Wo0rr7wSt956Ky699FIkKs5UocF0rBkBiTQ/QKxFDKjXHJy/kIoaGxvx1FNP4YYbbsDO6FY0eRtRbqrAvMIz4r00oiN6/vnncfPNN6OspBxP/9/TGFM1Bjv37sS3br8BdY11eOKJJ3D5RZfLYfM6qw5KtRKJqNPfLlt9mdQWFOnLEuZ1j4iIiIiIiIgoYWaqbNy4Ed/73vegUCigVCrh9/tRVlaGhx9+GD/+8Y8H8imJkmbAe88csnvzsMNtwx9WvnzE98VrnTvXVsfWI9aSyoFKd6hy3333oampCROzp8jKlPGZE+O9LPqcUCSETxo+Rbpbv369bPV16uxT8dZf3pKBijC2aize+utbmDdrHq6++mps27sNxlxjwgYqgl6pl9cKjmkjIiIiIiIiojQwoPZfoipFBCqCaPcl5qqMHz9eJjl1dXWDvUaihLHnkwPwOQMYNbsUBotOHgtHwvjmn+/Ex9Ub0ehoxV3n/U9c1yiClGUvr8fuT2rQWtuJUy+bhnSTpy/ABSO+AGVG4m5Ep6tXPnsdb+55B4tGnoWrp1yBdCSeo+NHjses6bPQYeuAXtcVSnTT6w3y+JxT5mD69OlINLLyLRqERtE100WnMqDCNBoaZWK1JCMiIiIiIiIiGgoDOq102rRpWLdunXz7jDPOwN13342XXnoJ3/3udzFxIs8Mp9QU8AbRWm2DvcUlW2l1UyqU+OL0c5FtzMSXZ1yAeBNVKUWjcqFUKVA+vhDpwB10Y13Lf+Xb3dU5DFQSk16thyJDgZPyJiBdhQNhOBqcuO1bt+OTjZ9g2eplvd6/dPVSrN+0Hvfed2/CtdIKR8Oo99Sg1rUXoUgwdpyBChERERERERGliwHNVPnkk0/gdDqxYMECtLS04KqrrsLq1asxevRoPPvss5gyZQoSFWeq0InwufzoaHCieEzuYe9z+tww6xJnGLrb7oXR2vsM+FT1902v4MfX/QS7NuzB3Llz8Y9//ENW0VFianG3IN+YPj8f0Y4v6A1Ba+qq7BAcjQ5kqBRYeOHZCHqDeOin/xt73533/xA6ow6rVq9KuFAlGo2g1rUPgYgfRYYyOUeFiIiIiIiIiCjZ9Sc3GFCokswYqtBg+e/+TzG1dAJ06sQ4Q7t+VzMKKnKh0qRXhcarr76KG2+6UZ5Bf9aZZ2H50uWyWkUO+b788ngvj0SoEI3Ia1Ghkm5C/hDa93XIt/PG5EKh7P09ePfdd3HOOecc9nHi+KJFi5AoP78M8d/BgCcQ9iOKKLTKrhaIRERERERERETplBsMaKYKUTrxuQOIhqPQWw6FJx/v34iv/fEWTCoZhxev/TUsOlNc11i7rRHv/nE1CkZk49xvnQa1NvWf2mKjV2zSb926FQvmL8Dvf/97WZ0iquduvvlmfPbZZwxVEsTbe97D1tZtuHH69bDqrEh10UgUGYquAEKpUR4cMh9FOBg+LFQRwcmGDRtibesEEV5MnToVicAb8qDJewDZ2jxYNVnyGFt9EREREREREVE66/POqxiW++GHHyIrK0vOVDlWSxKxQUSUCsRG5561dbA1uzDmlHLkV3RtKoqqCL1ah3xzDkwaQ7yXKUMUtUYFU7YRKrmBm9o6fO1Y2bQU8wpPxz333AOF4tBGtQhWXnvtNUQiXdURFF/ugAf/2PFveENefNq0GfMrTkOqEqGJs9mFkC+EnKps+XtSXLJGZEKhUhzx96Y4Jn6nJipv2I1gJIBOfxss6syEa0dGRERERERERJSwocrFF18Mrbbr7NRLLrlkKNdElDAioQi6TyA3ZR+aTzJ35Az8+9t/RJElv9eGfrwUVeXhktvOhDnbGDtDPpV91rkZ7pALWzo2YX7x2Ue8TyL8XAgwagy454wfYVXtGpwx4lSkMvHc8zv9slIl6AlCY+yaodJVqZKcsjS5MlzO1OYwUCEiIiIiIiIiGshMlXA4jFWrVmHy5MnIzMxEsuFMFeov8RTx2H1QmZRw+dzIMXVVq8Sb2+YFMpA2w+h7CkaC2NL+KSblTINaoY73cihNXxcC7gACniDM+Yfa/3nFa4VGCbVenZT/JkfQBlfQgWJDOUMUIiIiIiIiIkobjn7kBv0+lVupVMoe8J2dnSeyRqKkITYWDVYdfvj6/+KC31+Hnc37EmLOy1tPrcAbv/sI9lYn0oGY7dBNBCnT82YzUElgG5s2o8XdglQVDoTRWWODu9Ut231101t1SRmoCKFoCC3eBrhDTjiD9ngvh4iIiIiIiIgoIQ2oP87EiROxb1/8N5aJhoqzzY3az5oRCXfN5ej02PFJ7WY02FvQaI//RnHQH0Q4FEE4HDls8HUqOuCuxb9rXke1k687yaDJ1YxH1z2BHy+5D7X2A0gFsqWXNxi7rdKqoLPqYMgxIEOZGhUdIqTM1xchV1cAs9oa7+UQERERERERESX3TJWeHnjgAXz/+9/H/fffjxkzZsBoNPZ6P9tqUbJvnu5eWwe3zScHT1dOLUa2MRNv3PQHrK3ehPljTon3EuXslItvmQ+fJyDfTnXNnkaEo2HUu+swwlTJtkQJTqVQodxSBkWGAqWWYiS7UCCMjv0d8rUhb0xuLMjMLE3u4CESjaDd1wyrJhsaZdfMNPE2EREREREREREN4kyVzw+A7rm5KT6VuC3mriQqzlSh4xGP49bqTlmpMn5BJYxGHRJlXc52Nyy5h+Y3pAvxb9/n3INKc5XcqKfEF46E4Q15YdIk5+O1+/dZ99vte9sRCUeRWZYJjSE523t9XrO3HvZAJ3RKPcqMIxlWEhEREREREVHacvQjNxhQpcpHH3000LURJTyxsZhfmQ232Y1Fv78SP7/4+wlRnbLuza34bOVeLLx2DkrHFiDVtXpbkKvLkz8PcamyjI73kug4AuEgNMquwEGpUCZloBIJReBqcyPoCSK7Miv2+BNhilKtRIYidYKHbG2enFWUo81noEJERERERERE1EcDClXOOOOMgXwYUcIT7X26N00fX/YCajoO4JcfPIPTR83uVaE13MT8lJbaDgT9Ibg6Dw1sT1U7bduwoW0dxmdOxJSc6dzwTQJ2nx13LX0A541ehMUjz07en1kG4O30yteCgDsArUkbm6GS7IKRAHwhL8yarrZlaoUGI0yjkvdnRUREREREREQUBye0S+TxeFBbW4tAINDr+OTJk090XUTDrq3OhprNTRg9uwyWPCMevPgHsOrNuOHUr8U1UBGUKgXOveFU1G5rQuXkEqQ6ZYYy3kugflpSvRzt3nYsrV6BMyvmxypWEp0YPi/CE2Nu12wiMS/FXGiWzzmNUYNUIQKVGuceRBCFWqmRLb8EBipERERERERERMMQqrS2tuLaa6/F22+/fcT3J/JMFaIjETMTarc2w2P3oaPeLkMVjUqNu867Ja7r8rn80B08U16pUqZFoCKMso5FpjYbOdpcbvomiUvGXgCj2oAJeeOSJlAJB8Jo39ch39aatbFqFENWV+CQSlQZauhVRoSjISjAuURERERERERERAM1oJ2V7373u7DZbPj444+h1+vxzjvv4Pnnn8fo0aPxxhtvDHgxRPEiNu4nLajCsoxVWOJehUQg2n399edvyzkq6RBq7bHvksPNu3XPU6HkIH5Wi6rOQqmlJKEfZyF/KHZbqVFCa9FCZ9XJtl+pRsxLiUYjsZ9PoaFUDqTXKLuCWiIiIiIiIiIiGqZKlSVLluBf//oXZs6cKdsijRgxAgsXLoTFYsFDDz2E888/fyCfliiutrbuxJObXwQ2AxNLRmN2xdS4rqd6cz2CvhCqt9Rj/NyRUKTQgOzP29j+CXbYtqHBXYfTis5kmJIkvEEvllQvwzlVC+Vg+kQWDobRWWOT13ljcmWbLyGz1JqSj7d2Xwva/S3I1uYiV1coj7GtHhERERERERFRnEIVt9uN/Px8+XZWVpZsBzZmzBhMmjQJGzZsGIRlEQ0PMYzabffClGXA1NIJuHPxTehw2+IeqAizzp8Ic7YRVdPLUjpQEYoNpdht34USY1lKbnCnquc2/Rkr69Zgv60a35l1IxKZQqWQlSqCCCu1B+elpOrjrbsaRVR/iX93qv47iYiIiIiIiIiSIlQZO3Ysdu7ciYqKCkyZMgVPPfWUfPvJJ59EUVHR4K+SaIg07mnD3k/qUTohH5VTi/Gd+VfHNl7jIRQIQ6lWyA1QcREVKumgwFCEC0dcCr0q9WZZpLKphZOxsWkzFo48C4kkEonC0+FBwBVA1ojM2PMps8wKpVoZq1JJJeJ1S8xLUSm65tmY1VaoTYcG0hMRERERERERURxDlVtvvRWNjY3y7XvuuQfnnHMOXnrpJWg0Gjz33HODtDSiodfc1oF/tLyF706/LnYsXmd0i0DlradWILvIgrmXTkvp6pRwNIyNbesxIWtSLEhhoJJ85pSejKkFk6FXJ9jPLhqFu9UtK9FEsCKG0AtqXVfgkGpCkRCavAcQjAQwwjQKioyu0IiBChERERERERFRgoQqV155ZeztGTNmoKamBjt27EB5eTlyc3MHc31EQ3pm9yPbH8fy5rVQfgY8Mu7HcV1Pw54WNO1vQ3uDDZPnj4El14RUtb71Y+x17EabrwWLSs9na6Ik28AXLaW0qq6gIhEClXAgDL87AENW11pEJYop34QMRQY0B9t8pTLx7PGHfYhEw/CFPTCoUve1g4iIiIiIiIgoKUOVlStX4tRTT43dNhgMmD59+mCui2jIiY38K06+BNuaduOaOZfFezkon1CEs686BTqTNqUDFUFUqLR4mzElZzoDlSTzymevY2PzZjlDpdxaGu/lyMHzrXvagCigMaih0nb9WjPmGJDKes5JUSpUKDaUQZGhhFapi/fSiIiIiIiIiIhS2oBClTPPPBMlJSX46le/KqtWJkyYMPgrIxoi4VAEdduaUTo+H+dPPBMLxsyBQaOP6/yH7lZfI6fGf5N6OJjUZpxXfnGsTRElB0/Qg1UH1sDms6PF3RK3UEU8h5WqrseOmJEihs6LkCGe85CGkzfkke2+CvTFsaoUvcoY72UREREREREREaWFAe1oNjQ04Hvf+x6WLVuGiRMnYurUqXjkkUdw4MCBwV8h0SD715IPsXNTNbYu2Ss3YeMZqGxdsQdvPbkcAV8Qqcwf9uOj+vfQ4WuPHWOgknwMagMePPM+XD/1Kswsnh6XMKWjuhNte9oQCUdixzPLMpFdkZ2yM1M+zxHslPNTRPu8dAmSiIiIiIiIiIgSxYB2NcXclO985ztYtWoV9u7di8svvxzPP/88KioqZBULUaLaULsVdyy/Hz+r/iWMI7VxbT3lc/mx7q2taNjdij0b6pDKNrVvQJO3EaublyMSPbQZTsnHqrXgzMr5cfnaCmWGbPcVDUcR9BwKIsXslHSSpytCliYHJcYRbJ9HRERERERERJQM7b96qqysxJ133okpU6bgrrvuktUrRIlKqVDCajCjqrgcI6vi22pLzE654OYzUL2lHuPnVCKVTcudAV/YiynZ01ihkoQ+ql6OIlMhxuWOGbavKSowfHYf/E4/rKVWGR6Ii7XEAoVKCZVGiXQgvg+iMkVUe+Xri+Qx8RzKO/g2ERERERERERElUagiKlVeeuklvPbaa/D5fLj44ovx0EMPDd7qiAZ5c3JK6Xj85+ZnYdGbZMASr3V0n12eV5YlL6koHA1DmdH1PVYrNDi9iFVsyWi/rQZ/2viirDC6f/5dqMyqGJavK6pRHI1ORCNR6F0BaM1aeVxj0CCdBCJ+NHsbYrOIumeoEBERERERERFRfAzolPEf/ehHskJFtPqqra3Fb3/7WzQ1NeHFF1/EOeecM/irJDoBwXAINS31+PTtnWirs6E4swAmbXyGOttbXfj3o0vhaHcjlTmDDrxV80/UOqvjvRQ6QYXGfMwtPVnOUKnIHDFkX0fMSPE5fLHbCpUCxlwjTPkmqA2pPyulsbER9957r7zuSavUIVubh1xdAfRKDqMnIiIiIiIiIkrKSpXly5fjjjvuwJe+9CU5X4UoUYmqkJ++8X94a9NHuL30RiAjAzkl1rjNYFjx6no07W/Hqr9/inNvOBWpaq99N1whF7Z2bkKpqZwtv5KYXq3HjTO/gVAkNGTzOyKhCFp3t8mqlNxRKqi0Xb+aTHnpEyKIMOW+++7DBRdeAHVWBrI0uVAqur4PIlAhIiIiIiIiIqIkDlVE2y+iZOAOeLCxbhtsAQfUxQqMnlUa16HWC66YjZWvfYrTLp+OVDY5p2t2ymjrOAYqSarTZ0OWLjN2W3Vwg3+wRCJRKA4+F0VVisaglkPoRcVKOmvzNcPi1yEQDqDYWB7v5RARERERERER0ef0eZfsjTfewLnnngu1Wi3fPpaLLrqor5+WaEiJNl+vf+tJrNz7CRZPOD3ey4HRqsfi6+ciFbmDbhhUBlnNIIIUEaxQcmpyNeMnH92H08rn4oqJX4ZaOXjtt0RoImalBNwB5I7OjQUrVlFBpuwaRp9O1Snd7b42bNggr/d/VoNA2I8cXR4yytQoKuJAeiIiIiIiIiKipAxVLrnkEjk3JT8/X759NGJDLBwOD9b6iAbEHwpAq9LA6/TDaDbELVARZ+OveGU9xswagaKqPKSqVm8LljV+gLHWCZiUMzXey6ETtLllK3whH+rsB6BUKAf1c4tKsaA3KFt+BZx+6Ky6WLVKunnqqadky6+ebv7Wt2Nv33PPPXLOChERERERERERJWGoEolEjvg2UaKptzXhsqdvwu2nfxNF1SXILrFg7JwRUMZh03br8t3Y+XE19m+qx1fvPhdavQapqNPfgWAkiBZfM8LRMJQZg7sRT8Nr0cizUGDMR6m55ITat4mZRqIixefww1JklqG7uIi3FUoF1PrUH0B/LNd/8zrMOmsaQtEQGne04qZv3YRnnnkG06d3tQdklQoRERERERERUeIZ3Cb5RAng2dWvoK6zEU+seBF3lXxfnhGvUManpdCEuVVo2teGUdPLUzZQEcZkjoNOqUOxsZSBSoqYUjDphD+HGDxvq7PLa51FC61JK493X6e7kuJSRKxBhCIB5Ok65DERqHSHKkRERERERERElEKhyrp16/DRRx+hpaXlsMqVX/3qV4OxNqIB+fE534ZercdXZ12ITFhlhUq85jSoNEosvHZOSs6JaPE2I0eXGwtRys0V8V4SnQC7z46/7/gXvjzhMhg1hgF9DhGeBLxBaI1dAaKoRjFkG+RxlZYZ/ueJKqBigxhGH4Vd5Y33coiIiIiIiIiIqA8GtMv14IMP4qc//SnGjh2LgoKCXhvGqbh5TMlFzID4/sJvxu3r799cD783gHEnV6bsc6LGuR9rmlegxFiGeYVnnFCLKEoMf/j0eWxo2ogObye+P+fWAQ2gb9vTLivDckfnQKXp+vViLjANwWqTUzQaQYuvCTqlHlZNljymVqhjrb7EDBW2/CIiIiIiIiIiSsFQ5be//S2effZZXHPNNYO/IqIB+MPKl+Hye3DrmdeiaW8Hsost0BqGf15DZ5MDH77wsdxgNlr0KBtfiFSkUWplWKQ6uCFMye/iseejxd2Kr5x0Wb9mpnSHhqIqRaVTIeQLIRwIx0IVOsQRtMEe6IADGTCqTL2ePyJM4VB6IiIiIiIiIqLEN6BdL4VCgXnz5g3+aogGYGfzPtz31m/lBm+VaQQy9+ZAqVZg5oUToNEN78ZuZoEZk84YDXurEyVjC5CqigzFWFR6PjI1WSlZiZOORmVX4aGz7utT1ZEIDV2tbvgdfuSOykGGousxYC22yHCl+zb1ZlFnwRvywKS2MpAkIiIiIiIiIkpSA+rZc9ttt+Hxxx8f/NUQDcDYgpF46JIf4po5l2HBmDkw5xiQV5417IGKIAKGky+chLOvPgWKFNtY3uvYDV/o0NyHLG02A5Uk5w160emzxW73tY2bCE1EoBIOhuFz+GLHlWolA5XP8YTcMvAVxPOl0FAKk9oc72UREREREREREdEAZUS7d3v6QQymP//887Fr1y5MmDABanXvM25ff/11JCqHwwGr1Qq73Q6LxRLv5dAQEEOxI5GoHFA/HLxOH3Z8XI2pZ45N2Q3lnbbt2NC2VlamLCw9DyoFWzulgic/+QM2Nm/Gt2d9C5PyTzrq/YK+IHx2P0z5xliQJsIU8bbGpGG4dhTtvha0+1uQrc1Dri51K9eIiIiIiIiIiJJdf3KDAe0633LLLfjoo3I3y1gAAJWySURBVI8wZswY5OTkyC/W80I01Fx+Nx557yn4Q4HD3ieCjeEKVEQbpHeeWYV1b27Fx//ZglRu9yWGa5eZRkCZoYz3cmiQqlRqHQfgCrihOUYrKvEY79jXAXebGwH3oeebzqKD1tw1W4eOrHsIvTh3YQDnLxARERERERERUapUqpjNZrz88suyWiXZsFIlNVz/4g/w7rblOG/iAjz1tQexc3UNrPkmFIr5DsO8ybtrXQ3WvrkFF377DFjzUretjz/sg1api/cyaBAFwkHsaNuJyQUTY8fEr4SQPwS17lDQ4mh0IhIKw5RvgkrLKqVjEd+/nq9BvrBXBpJERERERERERJQaucGAdseys7NRVVU10PURnTAxP2Vj3TbcdPqV6GxwoLXGhrY6OzKLzNCbtMO6ljGzRmDklBKoNKqU2hje2L4eFeaRcnaKwEAl9WiU6l6BiqxKqe5EyBdC7uhcqDRdVUnmQhMrUvrAHXSiM9CGYsOI2HwaBipERERERERERKllQD2S7r33Xtxzzz3weDyDvyKiPjht1GysuuPvmFZ2ErKKLBg5owQVU4qGJVARgcP21fsQ9Idix1IpUBG2dW7FDttnWNrwAYKRYLyXQ4Po79v/ieU1q2LtqHoWKyqUCnkRLfRCvkM/dwYqxxeJRtDkrZeD6Tv9bfFeDhERERERERERDZEB7QT/7ne/w969e1FQUICKiorDBtVv2LBhsNZHFLNm3waMya9EjilL3tapuwIUsQFcMjZv2Nax6cOdWPvmVuxaV40LvzNfbkKnmtHWsah312JM5vjYXAhKfrvb9+D1HW/It4tNRSiKFsBr9yGnMls+jwRLsRkKhQKKYZpLlCpEZUqRoQzOgA1Z2tx4L4eIiIiIiIiIiBIpVLnkkksGfyVEx7C1YSeufv57yDVm4bUbnkBxZgECviDUWtWwn0VfNCoPWoMGVdPKUipQ6TkLQqPU4OzSc2MtjCg1VGWPxOUTvgCH34mq7Eq07m5DJBiB1+aFIduQklVXQykUCSIcDcda4xlURnkhIiIiIiIiIqLUNaDdM9H6i2g46dU65JmyUZ5djDxzDqKRKLZ+tA9KlQJj5pQP6xyVgoocfOlHi4d9dstQCkVCWNW0DFWW0Sg1lctjDFRSSzgYhs/uw8VjLpC3RYBmLjDL55Leynk5/eUP+3DAXQ0RQ5abRkGlYBhFRERERERERJQOBrwLZLPZ8Nprr8k2YHfccYccXi/afomWYCUlJYO7Skp7VXkj8MZNf4BKqYJaqYKzwwOv0w+FIkMGK0OtubodRqsepqyus/lTKVARdtl3oMFzAG2+FuTrC2WlCqWOPe37YWzWIyOaAZVeDa2x6+fLMGXgVAq1DB4zkIEoIvFeDhERERERERERJXKosnnzZpx99tmwWq2orq7GN7/5TRmqvP7666itrcULL7ww+CultBOOhHHA1oQR2V0hXfcsFcGcbcCM88fB6/BDoxvamR8dDXa8/dRKqHUqXPjtM2DJNSHVjMucAGfAjpGWUQxUUkQ4EIZSo8S+zv342YoHMcYyCteXX8Wh84PUIk+ZoUSpsUJeKzKU8V4aERERERERERENkwGd4n/77bfjmmuuwe7du6HTHTrT+bzzzsPy5csHc32Uxn725u9wzu+uwvLdHx/x/TqjBllF5iFfh0avhsGigznLAINFj1Rq+dVNnHF/csE85OkL4romOnGinVdHdSda97TJYKXZ3Sp/viajCYVVhdAYhjaETFXhSAj1nhq4go7YMbVCw0CFiIiIiIiIiCjNDKhSZd26dXjqqacOOy7afjU1NQ3GuijN+YJ+OZze6XfD4XPFjttbXHI4vWEY2xaJll8X3TJfnqGu0qTGBqo35MVHDe9jhKkCJ2VPjvdyaBBlKA5WokSBgCeAOaWzUWYpQZYuk1UqJ6Az0A5PyCVnqRhUJs4cIiIiIiIiIiJKUwMKVbRaLRyOQ2frdtu1axfy8vIGY12U5nRqLf5y/e9klcrC8afJY6FgGDtW1yDoC+GkM0YOaZVK0B+CvdWJ3NKulmM6Y2rNUBHzU+yBTuy2+zDaOhYaZWr9+9KpHZUYPu+1+ZBVnhkLVMyFZvl2dwhYauGcqxOVo81HKBJEljaXgQoRERERERERURob0M7QRRddhJ/97GcIBoPytjj7WcxS+eEPf4gvfvGLg71GSrMKlW5alSYWqAiRUASmTD20ejUsecYhW0M4FMH7f1qDNx5dirodqVl5VWUZjem5s3FWyTkMVJJZFHC2uBBwB+C1eWOH20PteHjtr9Dsaonr8pI9sBKtvsR19++5QkMptMrhq5IjIiIiIiIiIqIUCVV++ctfwuVyIT8/H16vF2eccQaqqqpgMpnw85//fPBXSWmhydGKBb/+Cl78+PWjzjaZcEYlpiweDaVq6M4Uj4QjwMEuSVp96gxtdwddiEQjsdtjM8fDrLHEdU3U/8emp9N7aKNfkQFTngmmfBN0PVriPbfpz/isdTte2PyXOK42eYnvb5P3ABo8tbAF2uO9HCIiIiIiIiIiSvb2X1arFe+//z5WrlyJzZs3y4BlxowZOOusswZ/hZQ2/vbJv1HX2Yg/rvobLpt+HvTqw88IF2eLa3RDO2hbzGxZfP08dDbZY+2/kp09YMOS+veQry/AnILT2L4oSQfQt+1plxVboq2XxtgV+Bmy9Ifd9xvTrsHzm17CNVOvjMNKk594ndEp9XAGHXyuEBERERERERHRwEOVNWvWoL29HRdccIG8feqpp2Lv3r14+OGH4fF4cMkll+DRRx+VM1eI+uuWBddCq9Li3InzewUqjXvaEPCGUDYhHwrl0G1wdjY7kFXQVbkhKmFSJVAR3EE3AmE/7AE7gpEgtGz5lTSVKd2PeVGVojVr5fD57kqVo8k15OB7c24ZplWmDvF9FYGKkKnJgVFlZns8IiIiIiIiIiLqpV871GKOymeffRa7vWXLFnzzm9/EwoULceedd+Lf//43Hnroof58SqIYsZl54+lXYET2oaHaYij9/k8bULulCa01nUP2tXd+XI1Xf/EetizbjVRUbCzB6cVn4aySxQxUkqQqxXbAjtadrQgHw7Hj5gITcqtyoDUd/jO0++yottUM80pTJ0yx+dtR76npNUOFgQoREREREREREZ1QqLJx48ZeLb5efvllzJ49G8888wxuv/12/O53v8Mrr7zSn09Jae6F//4d9/7nNwhHDm0c96TSKjF6dhlySi3Ir8gesnWIVl9i6LfHcWjYd7Jr87XCH/bFbhcZihmoJAlRlSLCFLG/73P4Y8dF1Up3JUVPYlbOkxv+iHuW/Ryr6tYM82qTXygaQquvGZ6QC46gLd7LISIiIiIiIiKiBNav9l+dnZ0oKCiI3V62bBnOPffc2O1Zs2ahrq5ucFdIKauuswF3//tXCEXCmF5+Ei6avPCw+4gN5LwRWfIylE6+aDKKRuWhfEIRUkGzpxHLGpfAorHgzOLF0Ci75m9Q4hGVEQF3AN5OL6wlVhmoCJZCs7xW648/QygQDkKtUCMDGRhhLR/yNaca8b0rMpQiEPHDos6M93KIiIiIiIiIiChVQhURqOzfvx9lZWUIBALYsGED7rvvvtj7nU4n1OqhHSJOqaMsqxiPfvk+rN63HhdOOvuwWRLCUM5Q8Th80Ju1MrgRlxEnFSNV6FR6qBQqOWybg7YTXBSw1zvkAHqN0QtDtqHPYUo3nUqL207+DuqdDSi1HGqfR0fnC3uhgCLW4suk7pqnRERERERERERENGihynnnnSdnp/ziF7/AP//5TxgMBpx22mmx92/evBlVVVX9+ZSU5i6cfLa8fF7Nlia0H7BjzMnlsOQZB/3rujo9+NdvP0LpuAKcdvn0IQ1v4sGqycTCknNhUBuhzFDGezn0uXkpfncAOnPXZr6oTDHlGRHyh444K6Wvg9XFNQOVvnEHnWjw1EKt0KDMNJLPESIiIiIiIiIi6rN+7STff//9UKlUOOOMM+QcFXHRaA61FXr22WexaNGi/nxKSjPegA/3v/UoXH73Ue8TDkXQUt0Jr8OPoD80JOtorm6X81PEdTAwNF9juNU498MeODQPwqyxcLM4wYgQpG1vO2y1Ntnyq5uoTrEUWaDU9O/n9fSGZ/HKttcRiqTGY3i4aJU6+dwQbb+IiIiIiIiIiIiGLFTJzc3F8uXL5WwVcfnCF77Q6/2vvvoq7rnnnn4t4PHHH0dFRQV0Oh1OPvlkrF279pj3t9ls+Pa3v42ioiJotVqMGTMGb731Vr++JsXPHa8/iKdWvIRvvPjDo95HqVJg+nljMWpWKXJKrUOyjqppZVh8/Tyc963ToNUn/7yROlcNVjcvx5L69+AJeeK9HPpcZUo3UU2iMWqgUCliLe4GanfHXiyvXYU3dr6JWjtnWfUl0OqmUqhlhUqxYQSDRyIiIiIiIiIiGrr2X92s1iNvdGdnZ/fr8/ztb3/D7bffjieffFIGKr/5zW+wePFi7Ny5E/n5+YfdX8xxWbhwoXzfa6+9hpKSEtTU1CAzk4OFk8X1876MdTWbcfvZ3zjm/dQaFYpG5w7q1xab2JFIFCp11yZq+UmpMZReyNcXwKrJQp4uH3qlPt7LoYOb+K5mFzw2L3KrcqA8+Lgz55vkEPrugfQDNTq7Cv8z60a0ezswMqtykFadmgJhPxo8dcjXF8Gg6monKFp/ERERERERERER9VdGtOfpu8NMBCmzZs3CY489Jm9HIhGUlZXhf/7nf+Tsls8T4csjjzyCHTt2QK0eWNsWh8MhQyG73Q6LhYOJ48EfCkCrOnxDM+ALwuv0w5pnGpJqgaV/XSdnqSy6fm5KVKd8XjASgCpDHZuxQfHXvr8DQU8QpnyTnJtC8dHsqYc92AmtQodyUxWfI0RERERERERENODcIG7TuUXVyfr163H22YeGlCsUCnl7zZo1R/yYN954A3PmzJHtvwoKCjBx4kQ8+OCDCIfDR/06fr9ffkN6Xmh4/Xf/p6i3NcVuHylQEfZvaMDm9/egblvzoK/B0e5G9dYGNO1vR9uBQ3NHkpXIQrd2bEK9+0DsmDjznpvF8RP0BWFvcPRq92UuMCGzPBPGXMOgfZ119evhD/kH7fOlgzx9kazkKjGO4HOEiIiIiIiIiIhOSNxClba2NhmGiHCkJ3G7qenQBnxP+/btk22/xMeJOSp33XUXfvnLX+KBBx446td56KGHZMLUfRGVMDR8djbvw7XPfx8XPH4d9rXWHvV+YiNaoVQAGUBm/uBXqojql4u+Mx8LrpiNktGHt5ZLNrWuamzp2IiVTR/BHXTFezlpT4RcnTU2eDu98Np9seMagwY6s3bQNvI3N2/Fb9Y+jruW3g9f6NDXod4i0QicAXvstiJDgQJ9iZylQkRERERERERENOwzVeJFtAcT81SefvppKJVKzJgxA/X19bIl2D333HPEj/nRj34k57Z0E5UqDFaGj0lrQElWIaw6s7w+GjFfYvTJZSg7KR86k3ZQ56jIsAZATkmmvKSCMtMIlLrKkacvgFE9+CEUHT9ECXqDMjQRRGgiqlFEqy+1fuheVlUKFTJ1VozPHQudSjdkXyfZA5U69374w15EEYVFkxrPeSIiIiIiIiIiSvNQJTc3VwYjzc29Wz2J24WFR958LyoqkrNUxMd1Gz9+vKxsEe3ENJrD20pptVp5ofgoySzEP771NELh0FHbfvU0mIFK7fZGrPnHJpzzzXmw5pmRChv53RUP4sz7Uwvns5VRnH4OHWJWijeE7MqsWLBizDECOUP7tSfkjcNDZ97HQOUYxHPDqDJ1zRhSJNV5A0RERERERERElATi1v5LBCCi0uTDDz/sVYkibou5KUcyb9487NmzR96v265du2TYcqRAheJD/Hz2tFTHbpt1RmQZrUe8r8fhw551BxAKhAZ5DVGs/c9W2Ftd2LpiL1Lh7Pv/tqzE9s6tsWMMVIY3SOn5fVdpVbK6KuQ/+jynwRSOHPo6Fq0FGiVf7471M8rR5mOEaRQMKlZxERERERERERFRioQqgmjL9cwzz+D555/H9u3bcdNNN8HtduPaa6+V77/qqqtk+65u4v0dHR249dZbZZjy5ptvykH1YnA9JY5fvPckFj96Nf6zZclxN0FFoNK4uw17Pqkf1DUoFBk478bTMGn+aMy5eDKSXb27DtXOfdjUvgHOgCPey0kb4jHqbnOjbXc7wsFDwYYp34S80bkwZOmHfA37O6vx/Q9+jO1tO4f8ayXrz6jF24hGT10sWBHBl5rzU4iIiIiIiIiIaAjEtTfKl7/8ZbS2tuLuu++WLbymTp2Kd955Jza8vra2FgrFodxHzEJ59913cdttt2Hy5MkoKSmRAcsPf/jDOP4rqCfR5mtH0174Q355ORax8Vk+sQD7AmFUTD76vJWBtsgymHWYc/EUpMoMlYlZU5ClzYZZY4n3ctKKz+GXgYoYQi/CFEGpPtSCcKi9tv2faHG34v19H8pZKtRbIOKDPdAh56d4wx4YVMZ4L4mIiIiIiIiIiFJYRrRnz5Q0IAbVW61W2O12WCzcnB6qYGXZ7rU4a9zcfgchJ8LnDuDdP6zEzPMmomR0PpJdKBKS8yHEhYaHCE88IjzJNcr2XoLfHUA4EIbeqosdG06+kA9/3/4vXDz2fJg0bGd1JI5AJzIylDCr+ZpORERERERERERDmxtwt5YGhSfgjb2tUqqOG6hEwpFBnw3y6Qfb0VzdgeUvr0c4dOjzJ6NgJIilDR/g45ZVvWZF0NAR3+f2/R1wt7rhtftix7VGjWzzFY9ARRBD6a+Y9GUGKj24gg75HOlm0WQxUCEiIiIiIiIiomHBUIVOWJurAwt/eyUe/ei5PgUA9hYX1r2xHa21tkFdx6zzJmLsyRVY/I25UKqS+6Hd7mtDm69FzlJxBjlDZaiE/KFe4Z4h2wC1QQ2VZvjaex1Js6sFnzRsiOsaEpUt0IEGT628RKLJHZ4SEREREREREVHySe6dZ0oI/978IWo66vHyJ/+By+857v3rd7Qg4A3C1ji4YYFKrcQZX5mJ7CIrkl2hoQhzC0/HguJFsGiS/9+TaET411nTibY97Qh4DlU8GHMMyKnMhsaoiWvbt8fWPYlff/wY3t37QdzWkagMKhMUGUrolQZkID7VQ0RERERERERElL7iOqieUsO1cy+HWqnCnJHTYdYdf0j0uHkVqN/RisJROSf8tde+uRWmTD0mzKtCsvOGvFBmKKBRauXtclNFvJeUskRViuJgNVPQG4TGoI4dTwTj88ahxdOGmUXT472UhBCNRpBxcLaQRqFBhWkUVIqunxkREREREREREdFw4qB6GrDBGjA/UAd2NuOtJ1fIty/93lnILc1CsnIH3fio4T25YbygZBHU3DAekE2bNmHKlCmHPU59dh88HR5klmdCqepq7SWGz0cRhUqTmNmyK+DiHBUxrynkQpOnHsXGcuiU+ngvh4iIiIiIiIiIUhAH1dOQe2X9f3Dbq/fDHwr06f5iY1vMUhnMDK9kTD6mLxqPWedPTOpARQhGAvCH/fCFvfKa+sftduPaa6/F1KlT5bXH07sNnQhUgt4QPO3e2DGlRplQgYo/5O/1/GCg0qXT345QNIgOX2u8l0JERERERERERMRKFeq/Vmc75jxyKXxBP37xhTtxxexLjv8xNZ3YsaoGuWVWjDu1ImHaLCWSDl87tEotjGpupvfHtm3bcPlll6O6uhpXXv51/PnVFzGifARe/furOOmkk+R9/E4/gr6gHESvUCZeliwGrj+y5jfQKXX4xrSrYdQcv41eughHwzJQydHlQ3GwBRgREREREREREdFgYqUKDak8cw7+cOUv8LVZF+OrMy/q08f4PUFkKDJgyNSfUKDSUtuB//5rEyKR5M8Cbf5OOAL22O1sXQ4DlX56/vnnMWvWLIRDEbz98ju47wf34a2X30Y4FMbsWbPxwgsvyPtpzVqY8kwJGagI1bYafNayHZ82bUKnz4Z0FoqE4Agc+h4oM5TI0xcyUCEiIiIiIiIiooTAShUaNh67DzqTZsAb2wFfEH/7+TvwuvyYff5ETD17HJJVp78DS+rfg0qhxFkl58LEMKXf1q9fj5kzZ2LR/EV44pEnYdAbYu/zeNy48Y4b8f6y9/HJJ59gxowZSHR7O/ejxd2COaUnI50DlVrXHoSiIRQbRsCkNsd7SURERERERERElAYcrFShwSZafd3971+hwz3ws+gNVt0JVQpodGrMvXQqCipzMOHUKiQzvcogWz3plQZoOJR+QKZPn46TZ52Mjs4O6HW9B5jr9QZ02Dow55Q58n7JoCqrMq0Dle6qFKPaDLVCA41CE+/lEBERERERERERHYahCvXJPf/5NZ5d/Qq+/qfb+jxsPhqJYt+GevjdfRtm3xdV08pw0Xfmy4AlmYlA5cySxVhQshAapTbey0lKoo3c92+5A59s+gTLVi/r9b6lq5di/ab1uPe+exN6fs+bu99Bh7cT6Uy8nnS/poifVb6uCOWmKj4viIiIiIiIiIgoITFUoT65fu6XMTK3HD8+99t93qSu39mK+h2t2PT+7gHPQAkFwvj435tl669uYjZLMmr01MtLN71KL8/Ip/7pGepd8qWLMXP6LDzy+MPYvG1z7PLIYw/LKpWFCxciUa2sXYO/bH0FP/3oPniCXqTrEPp6Tw1avA09ghWFrFghIiIiIiIiIiJKRKp4L4CSw5iCSnz43b9Arez7QyaryIz2OiMKqrKhGGAQsvyV9dizvhZtdTacd9NpCV11cCxtvlYsb1gi13926bnI1ubEe0lJJxwMw9nkhFKjgrmgawaNSqPCAw/ej3POOQeLv7So1/3ffffdhH68jMyqQIW1HNOLpsGg7t2+LF34w154Qi5kIANZ2lxWpxARERERERERUcLjoHo6qnXVm5BpsGB0fuWAP0fPtj4D0VLbgff/tAZnXjkbRVV5SOYz8lc2fgRFhhJzC0/nmfgD4HP4YKuzAxlA3pg8KFWK2GNs48aNvSpYxONt6tSpCR2qCMFwEEqFEoqM9C0atAU6oFPq5YWIiIiIiIiIiCjRcwOGKnRE+9pqceHvvyF2rPHKNx/HScVj+vyxYpbKYLboCofCUKqSP4QIR8Jykz+dN9D7S7w89QxGnM0u6CxaqPXJO1PHFXDBpOmqtEnHn6c90Amz2gKlgoWSRERERERERESUfLkBd3dJCgaCeOmJl/HQDx6W1walDqPzR2BkXrm89FUoGMaGt3fKeSoiXBmIXetq4Oxwx24na6Cyx74LO23bY7fTvSKhP8RjRwQo7Xvbez2ORNuvZA5UNjdvxa3v3oFlNSuQjtp8zWjxNaDRW9ersoiIiIiIiIiIiChZ8FRhwm/u+R3ufeQe2L222DHr9zLx0+/dhevuvA56ta7Pn6t5bzs8dh8adrSisCoHyn5WrOzfXI+lf10Hg1mHS79/trxO1hkq61rXyLeztdnI0xfEe0lJRWy4e21eREIR2fZLn5karaGW166CL+THvs5qnDHiNKQbi8YKe6ADJhWrBImIiIiIiIiIKDkxVElzIlC57We3QleVhby5E6DKMyDU6oFzdSPueOB7UClU+O59t/T58xWPzYNCqYDOpI3NvOiP/PJsZBVa5PwUvSl5h1bnaHMxLvMk+XauLj/ey0kKkUgUioMhnHgMWYstMlzRmpP3cfB5N8/8JsbljsHp5fOQLiLRSKxCS6vUo9IyljOFiIiIiIiIiIgoaXGmSpq3/MrLzIe/OAPZl43uNbtCPCw6XtsNbQPQamuGWjN8LZcCviBUGlVsgz1ZdD+Vur+Pn79NRyeqUhxNTmSWZkJr0sR7OTRIRFVKm68FZcZKaJSpE44REREREREREVFq4UwV6pNX/vh32fLLPLfosI1/cds0twh2b6e83/G4bd4Bz1Cxt7rQtK8tdlujUydloLKxfT0+blndK0xhoNI3QU8Q0XAUng4PUs3+zmr8e9fbsmIjHYfSh6MheU1ERERERERERJQK2P4rjdXur5XXouXXkahzDb3udzR+TxCb3tsNg1WHCWdUylCkrzwOH956cgU8Ti/O+cY8lIxJztkjnf4O7LRtQxRRVJpHosBQFO8lJTQRwIlNd9HmSzAVmKDUKGHIOfJjMVkFwgE8tu4pNLmbZbhwydgLkS5EoFhsKIcjaEeWJifeyyEiIiIiIiIiIhoUrFRJY+WV5fJazFA5kmCbp9f9jsZj88beVmv6l9NpdCo5Q8Vo1SOryIpkla3LwckF8zArbw4DleMIeoNo39cOZ5MzdkyEK8ZcY8pV9qgValww5lwUm4pwduUCpDp/2AdnwB67rVKoka3NTbmfKxERERERERERpS/OVEljgzlTRVSrhENhGCy6fq8jEo7A6/LLYCWZiHZO4WhYbpxT3wU8AXTs75RBSu6oHChUqZ/thiNhKBXKlA9Ual37ZLWWmKGiV6VW1REREREREREREaUuzlShPhFByb133Aff3k4ZoPjrnYj4w/Ja3BbH773j3j4Nqdca1H0OVCKRKOp3NfeuUkiyQEWEKaualmFZwwcIRYLxXk5CEwFdOBiO3dYYNLCWWFI6ULH57AhFQrHbqR6oCBqFFkaVCQaVARqFJt7LISIiIiIiIiIiGhKcqZLmvnvfLfL63kfuQduL22LHrfosPHT3b2PvP5KmPe0w5xpgzNT3a4N91WufYvuafTjlosmYvGAMkpE76EKzt1FWIHT4O5CvT85ZMEMtEorAXm+XLb9yR+XGQhR9Px4zyUaEKb/87+/Egx3/M/tG5BvzkapEtVaG+C+j61JoKI3dJiIiIiIiIiIiSkUMVUgGJ9/+yU145Y9/l0PpxQyVL13/xWNWqLhtXuxZVyffnn7eODmkvq80ehWQAZiykrc9kEVjxfzihQhGAgxUjiFDkSGrVER1kmj7pRtAe7hk0+BsQrOrRb6tzEjdl9hAJIAGdw1MagtydV3PAUVGalYeERERERERERERdeNMFRoQvyeAvZ/Ui9oTTDh9ZL8/vr3ehpySTCQTEaD4wwGY1KZ4LyWhhfwhKDXKWLWCqFIR4YpKm7oBw+e1eztksDIhbxxSlSNgQ5P3gAyOKsyjocxI/RZnRERERERERESUmvqTG6TPLicNKq1BgwmnV8oh830NUbKLrHJzXUi2QCUQ9mNpwwfwhb04q+QcGBmsHJGz2Ql3mwfWUiv0B6uX1Prjz+RJNTn6bHlJZRZNJiLRMIxqCwMVIiIiIiIiIiJKG+zVQv3y+cImMWT+eBr2tOAfv16CpX9d1+cQJtGEoxHZ7igYCclrOrJYdYonvb5HYrbInza+iP2d1Ujlf2O7r0Ved8vU5kCtSL/QjIiIiIiIiIiI0hcrVahfdn9cB41ejbKTCqA8OHT8eNx2nwxjgoGw2HVHMtKr9DizZBEC4QAytVnxXk7CEPNSBKW6q1LBmGuE2qiB1qhBOlmyfxk+2P8RVtX9F7875xEY1Mk7L+hoGj11cIecCET8KDKUxXs5REREREREREREccFQhfrM1eFB874O+XZOqRXmnL5tHI+eUQ5zlgG5ZVlQHGz/lQzcQRfcIXdsEL1BZZQX6uJz+GCvd0BtUCOrPFNWqYj2bukWqAinlM7ClpbPMKngpJQMVIQsbS58YQ8s6uRq3UdERERERERERDSYOKie+kw8VNoP2OGx+VA+qfCY9/W6/FBrlFBpkjO3cwfd+LD+bfjDfiwoXohcfX68l5SQA+nb9rZDrVMha0RWn1rBpbLul9LuFmipIBwN95qXIlp/KTLS++dMRERERERERESph4PqaUiIzeLcskzgOJ1/Ar4g3npyBVRqBRZ/41TokrByQafUway2QJHhhp7VKVI0EkXQG4Tm4M9TpVUhpzIbKp0qpYKE/jjgqEeppUS+nUrfAxEQtfma4QzaUG6qgurg3BQGKkRERERERERElO64Q0bHFfAG+zVg3tHuhqvTDXubG/4kHViuVChxWtGZOKvkHBjVDFXE7JS2Pe3orOlESMzGOUitV6dUmNAfK2vX4M4P78Yr215HqokiIuenhKIheU1ERERERERERERdWKlCxz1jfcfqGvjdAYybV9GnOSq5JZm48DvzEQ5FYM0zIVl0+NrRGehAlWW0vK1SqOSFAIVKAYVaIR8PkVAY0BxqCZWuqu01iCLaqz1WqlBkKFFsKIc/7INZY433coiIiIiIiIiIiBIGd4zpmPyeILwOn6xOUGuPvnksNttFRYvW0NUaKrsouTZiXUEXljS8i2AkCK1Ci1JTOdKZ+Hn6nX5ozdquAfQZGcgstcpB9Ok+O6XblZO+gqkFkzA+dxxSgSsoKlKiMKm7ekZqlFp5ISIiIiIiIiIiokO4O0rHJOahzDh/PCacPhI609E3WD/9YAf+/n8fwNbsQDIyqoyoNI9Cnq4ABYYipDtbnV1ePO2e2DGlWslA5XMm5p8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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 22 }, { "cell_type": "markdown", "id": "1ef408a3-57ef-4db5-a94c-013db263ab67", "metadata": {}, "source": [ "We observe that the lowest distance from a modeled value to the experimental curve at small distances has linear model." ] }, { "cell_type": "markdown", "id": "4d028682-55a7-49cc-a017-a5e19f2cc23c", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "4d928adb-e337-47b0-bfb1-6cd1b8cd8195", "metadata": {}, "source": [ "## Changelog\n", "\n", "| Date | Changes | Author |\n", "|------------|--------------------------------------------------------------------------------------------------------------|----------------------------------|\n", "| 2025-11-07 | Used **values** and **geometries** parameters instead of **ds** in the experimental variogram initialization | @SimonMolinsky (Szymon Moliński) |\n", "| 2025-02-28 | Tutorial has been adapted to the 1.0 release | @SimonMolinsky (Szymon Moliński) |" ] } ], "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 5 }