{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 2: Fields and Operators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Overview:** This tutorials covers the basics of setting up and interacting with field and operator objects in Dedalus.\n", "Dedalus uses field and operator abstractions to implement a symbolic algebra system for representing mathematical expressions and PDEs." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import dedalus.public as d3\n", "from dedalus.extras.plot_tools import plot_bot_2d\n", "figkw = {'figsize':(6,4), 'dpi':100}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.1: Fields" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating a field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Field objects in Dedalus represent scalar-valued fields defined over a set of bases (or \"domain\").\n", "A field can be directly instantiated from the `Field` class by passing a distributor, a list of bases, and optionally a name.\n", "They can also be instantiated using the `dist.Field` method.\n", "Let's set up a 2D domain and build a field:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "coords = d3.CartesianCoordinates('x', 'y')\n", "dist = d3.Distributor(coords, dtype=np.float64)\n", "\n", "xbasis = d3.RealFourier(coords['x'], 64, bounds=(-np.pi, np.pi), dealias=3/2)\n", "ybasis = d3.Chebyshev(coords['y'], 64, bounds=(-1, 1), dealias=3/2)\n", "\n", "f = dist.Field(name='f', bases=(xbasis, ybasis))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This field $f$ is a function of both $x$ and $y$, as it is defined with both `xbasis` and `ybasis`.\n", "To make a field that is a function of only $x$ or $y$, we would use `bases=xbasis` or `bases=ybasis`.\n", "To make a field that is spatially constant (independent of $x$ and $y$), we would not pass any bases at all." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vector and tensor fields" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the `Field` class creates a scalar-valued field.\n", "These can also be instantiated using the `ScalarField` constructor.\n", "Vector-valued fields can be built using the `VectorField` constructor, and passing the coordinate system corresponding to the components you want the vector to have.\n", "Technically this is specifying the [vector bundle](https://en.wikipedia.org/wiki/Vector_bundle) of the field to be the [tangent bundle](https://en.wikipedia.org/wiki/Tangent_bundle) on the specified coordinate system.\n", "Arbitrary-order tensor fields can similarly be built using the `TensorField` constructor and passing a tuple of coordinate systems, which technically describing the [tensor bundle](https://en.wikipedia.org/wiki/Tensor_field#Tensor_bundles) of the tensor field.\n", "\n", "**Note**: remember the bases of a field describe its spatial variation, while the vector/tensor bundle describes the components of the field.\n", "For instance, we could have a 2D vector with $x$ and $y$ components that only varies in the $x$ dimension, and hence only has an $x$ basis.\n", "Let's build such a vector field on our domain:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "u = dist.VectorField(coords, name='u', bases=xbasis)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Manipulating field data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Field objects have a variety of methods for transforming their data between different layouts (i.e. grid and coefficient space, and all the layouts in-between). \n", "The `layout` attribute of each field points to the layout object describing its current transform and distribution state.\n", "We can see that fields are instantiated in coefficient space:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([False, False])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f.layout.grid_space" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Field data can be assigned and retrieved in any layout by indexing a field with that layout object.\n", "In most cases, mixed layouts aren't needed, and it's just the full grid and full coefficient data that are most useful to interact with.\n", "These layouts can be easily accessed using `'g'` and `'c'` keys as shortcuts.\n", "\n", "When accessing field data in parallel, each process manipulates just the local data of the globally distributed dataset.\n", "We can therefore easily set a field's grid data in a parallel-safe fashion by using the local grids provided by the domain object:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 406, "width": 537 } }, "output_type": "display_data" } ], "source": [ "x = dist.local_grid(xbasis)\n", "y = dist.local_grid(ybasis)\n", "f['g'] = np.exp((1-y**2)*np.cos(x+np.cos(x)*y**2)) * (1 + 0.05*np.cos(10*(x+2*y)))\n", "\n", "# Plot grid values\n", "plot_bot_2d(f, figkw=figkw, title=\"f['g']\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can convert a field to spectral coefficients by requesting the field's data in coefficient space.\n", "This internally triggers an in-place multidimensional spectral transform on the field's data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/gl/8q1_pm2s1490lvyfvm_8yby80000gn/T/ipykernel_26772/1812536267.py:4: RuntimeWarning: divide by zero encountered in log10\n", " log_mag = lambda xmesh, ymesh, data: (xmesh, ymesh, np.log10(np.abs(data)))\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 406, "width": 513 } }, "output_type": "display_data" } ], "source": [ "f['c']\n", "\n", "# Plot log magnitude of spectral coefficients\n", "log_mag = lambda xmesh, ymesh, data: (xmesh, ymesh, np.log10(np.abs(data)))\n", "plot_bot_2d(f, func=log_mag, clim=(-20, 0), cmap='viridis', title=\"log10(abs(f['c'])\", figkw=figkw);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Examining the spectral coefficients of fields is very useful, since the amplitude of the highest modes indicate the truncation errors in the spectral discretizations of fields.\n", "If these modes are small, like here, then we know the field is well-resolved." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Vector and tensor components" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vector and tensor fields have higher-dimensional data arrays that include their components in the first axes.\n", "Let's look at the data shape of the vector field we defined:\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 64, 1)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u['g'].shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first axis is size 2, corresponding to the two vector components ($x$ and $y$).\n", "The remaining physical shape is $(64, 1)$, since this field is constant along the $y$ direction (it was only defined with an $x$ basis)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In grid space, the components of vector and tensor fields are simply those corresponding to the unit vectors of the specified tangent spaces (here $e_x$ and $e_y$).\n", "For cartesian domains, the same is true in coefficient space.\n", "For other domains, however, the components may be recombined during the spectral transforms, so the component-wise data is not as easy to interpret.\n", "For this reason, it's typically recommended to initialize vector and tensor data in grid space." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Field scale factors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `change_scales` method on a field is used to change the scaling factors used when transforming the field's data into grid space.\n", "When setting a field's data using grid arrays, shape errors will result if there is a mismatch between the field and grid's scale factors.\n", "\n", "Large scale factors can be used to interpolate the field data onto a high-resolution grid, while small scale factors can be used to view a lower-resolution grid representation of a field.\n", "**Beware:** using scale factors less than 1 will result in a loss of data when transforming to grid space.\n", "\n", "Let's take a look at a high-resolution sampling of our field, by increasing the scales." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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rrQAAS5cuNcuuWLFi9KFBJtxKyXvf+97Rzy+88EIt2yCkKjIB3XjXiUxAV9d1QkhqOPaSGF588UX88R//MV588UVkWYZvfOMbOO644yZcL8dcUjd1nbuhcMwlvYKTGWSDZ86cOQCAZ555BiMjI95yTz31VGmd1BRFUUu9hEwE+dAhr4NurF/earUwe/bsWttFSCo49pKqLF++HIcccgh++ctfAgD++Z//GSeffHKSujnmkjqp89wNhWMu6RWczCAbPPvvvz+AdaGajz76qLecDIPbb7/9amnLz372s9HPs2bNqmUbhFRlr732Gk1CZ4WDDg0N4eGHHy6tQ8hUh2MvqcJrr72Gww47bPS8ufTSS/HZz342Wf0cc0ld1H3uhsIxl/QKTmaQDZ5jjz129PN1113XtUye57j++usBrEtsNHfu3FracvXVV49+7pVukZDx2GSTTfChD30IwDrPeF/Y8y233ILXX38dAHoarkrIROHYS0JZtWoVjjjiCPzXf/0XAODv/u7v8H/+z/9Jug2OuaQOenHuhsIxl/QKTmaQDZ69994bBxxwAADg2muvxUMPPVQqc8UVV+DJJ58EAHzuc5/DwMCAs3zBggXIsgxZlnW1o3riiSfwzDPPmO24+uqrce211wIAttlmGz6YkJ4x3vkLAOeccw4AYGRkBJ/97GfR6XSc5cuXLx99KJo5c+ZopnJC6oRjL+klQ0NDOO644/Dggw8CWPc88PnPf75yPRxzSa/p1bnLMZdMNVqT3QBCesFVV12F/fbbD6tXr8ahhx6K888/H3PnzsXq1atx00034ZprrgEA7Lzzzjj77LMr1//oo4/i9NNPx9y5c3H44Ydjt912w5ZbbomRkRE89dRTuOGGG/Dv//7vAIBms4mrr74aM2bMSLqPZMPkgQcecB4cli9fPvr5mWeewYIFC5zy8+bNi9rOwQcfjE984hO46aabcNttt+GQQw7BWWedhVmzZuGJJ57AF77wBTz33HMA1oWtbr755lHbIW8denHucuwlKTnxxBNx1113AVg3Jp522mn4yU9+4i3fbrex8847R22LYy5JSa/OXY65ZMpREPIW4bbbbis23XTTAkDXv5133rn4+c9/3nXd6667brTcRRddZC63/rbccsti4cKFNe8p2ZA45ZRTgs6t9X/dGO/8Xc+qVauKD3/4w966G42GuT4hkl6cuxx7SUqqnK8Aine9611d6+GYS3pNr85djrlkqsHIDPKW4aijjsLjjz+Oq666CosWLcLSpUvRbrcxe/ZsHH/88TjzzDOx0UYbRdX94Q9/eFTC8uMf/xjLli3DK6+8gqIosMUWW2D33XfHn/zJn2DevHnYdNNNE+8ZIWmYPn06Fi1ahBtvvBELFizAY489hldffRVvf/vbccABB+DMM8/EvvvuO9nNJGQUjr2kn+GYS/oNjrlkqpEVBb1zCCGEEEIIIYQQ0j8wASghhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK/gZAYhgSxduhRZliHLMixdunSym0NIMDx3Sb/Cc5f0Kzx3ST/C85b0G5zMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZzMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZzMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZzMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZzMIIQQQgghhBBCSF+RFUVRTHYjyIZP+31/Nvo5azSdZfK77zMAZM2x743AOtZ9bwSWE8uaYfVXa0f1bVepo9HIxDLxOcuCyunvjcy/zClXqkN8Dty2bofcttlGvcxZr/t2S9sObGNT1dGMWNaqVEfDWNZ9vWYWXn/LV0eC/TTbaJXTxyKTy8T/dR2inD5vrfW89Rv9aNaf+fdTfjX3s9H9/3q9chv968mvDWRd/6/bWFrmWU/tJuRXux1qPWffrHZ0X6e0nuf/1rbK6/nbn8lHpyJ3y8nvahk862WlclYd4nseWkfhXRa8bWs/8xr2M++IRf5lTrlOR5XLu5ZbV2ena7ki13V0L1fanrFeYbSjl/up6y86effPgeXWba57/bqcVX/ua4euI7D+3Gx/9f4otdFsR9F1nXXryWXuNeluO6xcnutl3bddlOqouY2if8p1FOJzWLlcjV8d8V2u1imVS7Esbf1qN51l6uoPXi9FG/9/xbPoVxiZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKziZQQghhBBCCCGEkL6Ckxk18Nvf/ha33347LrzwQhx++OHYaqutkGUZsizDvHnzatnmTTfdhMMOOwzbbrstBgcHscMOO+BTn/oUHn744eA6XnnlFVx00UXYfffdsdlmm2HTTTfF7rvvjosuugivvPJKLe0mhBBCCCGEEEKq0prsBmyIvP3tb+/ZttasWYPjjz8et99+u/P/X//61/j1r3+NG2+8ERdffDEuuOACs54lS5bgmGOOwUsvveT8//HHH8fjjz+O+fPn49Zbb8Wee+6ZfB8IIYQQQgghhJAqMDKjZrbffnsceuihtdV/2mmnjU5kzJ07FwsXLsQjjzyCa6+9Fu9+97uR5zkuvPBCzJ8/31vHCy+8gKOOOgovvfQSWq0Wzj33XNx333247777cO6556LVauHFF1/EkUceiRdeeKG2fSGEEEIIIYQQQkLIiqIoJrsRGxoXXXQR9tprL+y11154+9vfjmeffRY77rgjAOCUU07BggULkmxn8eLFOOiggwAARx11FP7t3/4NzWZzdPny5cuxxx574LnnnsPmm2+OX/7yl5g5c2apnnnz5uGb3/wmAOA73/kOjj/+eGf5d7/7XZxwwgkAgFNPPRXf+MY3krSfEEIIIYQQQgiJgZEZNXDJJZfgyCOPrF1u8sUvfhEA0Gw28dWvftWZyACArbbaCpdddhkAYMWKFbj22mtLdSxbtgw33HADAOCwww4rTWQAwPHHH4/DDjsMAHD99ddj2bJlSfeDEEIIIYQQQgipAicz+pQ333wT99xzDwDgkEMOwXbbbde13Ec+8hFsuummAIBbbrmltPy2225Dp9MBsC7qwsf6xKWdTge33XbbRJpOCCGEEEIIIYRMCE5m9CmPPPII1q5dCwA48MADveXa7TY+8IEPjK4zPDzsLL///vtHP1v1yGUPPPBAVJsJIYQQQgghhJAU0M2kT3nyySdHP++yyy5m2V122QV33XUXRkZG8POf/xzvfe97S/Vsttlm2Gabbbx1bLvttth0003x+uuvO9sejzVr1uCJJ54AALztbW9Dq8VTjhBCCCGEEEImk5GREbz88ssAgN122w2Dg4OT3KLq8Jdln/L888+PfvZJTNaz/fbbO+vJyYz19YxXx/p6fvrTnzrbHo8nnngCe++9d3B5QgghhBBCCCG945FHHsFee+012c2oDGUmfcobb7wx+nnjjTc2y86YMWP085tvvtm1nvHqkPXoOgghhBBCCCGEkF7CyIw+Zc2aNaOf2+22WXbatGmjn1evXt21nvHqkPXoOize9ra3jX4++cqbsPEWb8PQSO6U6eRj7sDiIzrKNdgpl/uXhdJsZM73hviulzWzse9ykS7XEt8bug5Zf+Yu86H7wFmm9ln2yYj4PNxRfSXqtOqI6VNNaB/r/hhojn1vRR6nUEL7WJ9zMX2s6/BtS6P3UxLaH7JPAf+5ap77RjssnPOqwnU94jkfdVeFntMW1r7FnKtVrn/ftq3jbl67gX08Yoyjw4FjbGj/ApM3xqY4bzWyj4fVPc133gL+e1zseSupdM5F9HGKsSG0TwF7bFgr+jz2uSGGFH3cbrnvEUOfDWL7OPQ8Cz1vhzru+W5tO4bU9zRdT2wf+/YtxXmr64l9bvDdM6z9ajfd8zH12BDalql03oY+/zZj7kdq92W5yXjeffN3L+O6sz4OwP3N1k9wMqNPkZqmoaEhs+z6RKEAMH369FI9q1atGrcOWY+uw0LmyNho5laYscXbMc0YNJzP6qLTkyD+Ovzlmg1/MFLTGjQ8g5JVTg9KVv2h+PoK8A/oupx1gzDXM/rVh+5vXx9Yg7R+8GsFHqdYfDcx/X/5UBLax9YNssrkUUw/6mXTRL8Gn/s19K99zoU9sFjjRoqJzphr3vzBEnje6v/Hnj9y2ZBx3sb0ceykZ2gfWw/TVfrY2raP0HM19LwFVP8H9mPMg7X+rh98Q/u47rEhtB/1sumeZfoHS6oxdz3Wfuofhb7+qfJsENPHVfZZfjfvaYFjbOqXILFj8bQejg0pzlvAPXdj+1SWDd3PFM9fVZ7F5LIU97Q6ztvYMde3zBqLZR/H/m6YyD1N/q9f8xr2Z6sJNtlkk9HP48k+Vq5cOfpZy0k22WQTrFq1Kkg6sr6eEElKClI/hKxbz/pBHqi6ksWq/76fdMJvwmGTRxr3RqXrqN7HqX4sbaiEPrxoRiLXk8TcQOuccAK6vK0wTrnU7aq7jslso9NXso97LFaNaX/d57eFnsxw6pTDo+pH69yMGRP1g3wTU298jB2/nDqM6z/FD23rTXjprWfevVyKbddxf2sF/sjsB1L8GI0l9Md6ab3AcbWXxyY2YjTF+BXaj5N53qa4JlM846a+X/QbnMzoU2TCzqVLl2LPPff0lpUJO2Uy0PX1LFu2DEuXLh13m+vr0XVMBWJ+eJcveOPJ0oculmByI3QAt0LErdnoWEIHRLtc9T7uZJM3EFtvWKcipb4XXWz9eKn7ITl1nVXkF/IBsfSDzhcREfkW26LuN9yh44Z8C2RFu5UQ6zn1qypCx5vQPg7t3yr0cqIzuP3GvG9oKHkV6r7mQ4n94efr16n64O68/ay5v1P8mDHH2I6/vtjj6dRvrWe8TJqs68Lq7yr3qtRE/8CNeG7QTNaYMpk/5IO3NYm/GzZUOJnRp0hHkqeeesosu355q9XC7NmzS/U8+uijeO211/Cb3/zGa8/60ksv4fXXXwcAzJkzZyJNr53YH90pIgqazbABXP8wnipvREKlJLFvPdz1/BMboW+7QtnQojSmyg8RizpvrlV+DHgjCmqm15NCyX+wxL4t6mEf9wO6j6fipKg+1ql/bPfyQbt0z6n5h3cMZrROj4npg7qjX2Lp5YRRCvrhDXodE6kkPf3wTFgnnMzoU/baay+0220MDQ1h8eLF+Nu//duu5YaGhvDwww8760j2339/fOtb3wIALF68GB//+Me71rN48eLRz/vtt1+KXehKqigCp84kN4iwiIIhUa5ZqDeP+cTfvkpiJ21CtZihGsI0D+fuDMXQyNhnrdlMLfPphweKFIQ+lMQ+vNQtj6iD0KitUGL7KrUu1jqnretfRmqU8lF4NMpVrp9eRgCl7tNUREVqGBKUfiP2LbaFdQ+yQvdT92OKyDiLOmRmUyWKIDWxzyUxY2yqvnHqNCbhYkg1KZE6J0rdpO7TarnjeiddZ2QG6Us22WQTfOhDH8IPfvAD3H333Vi6dKkjPVnPLbfcMhpRcdxxx5WWH3300fjLv/xL5HmO6667zjuZsWDBAgBAo9HA0UcfnW5HEpFaC5sioiB0WxaxPxTqmBSShD4oWBEooZihjIGRMLH1p2YqTZxMlbdYvXywSTFRYyXoCq0jlCrrxNRfpT9850uVHw2pJxV6nQujzj6upK2v+cE1RT6dUFLsizV+TZUH+8l8c5qij6fKjyVn2+q3Yuo8MCkmAKLzRfQwf0awrAfp+/itQvBxj3ymjR1fOnmRxIFosulx6i4SyoIFC5BlGbIsw8UXX9y1zDnnnAMAGBkZwWc/+1l0Oh1n+fLly/F//s//AQDMnDkTp59+eqmObbbZBieddBIA4M4778T3vve9Upnvfve7uPPOOwEAn/rUp7xSlPEYyYuuD76dvBj9C6WT586frz5d5/o2jPdn1WG3q7zu6F8x9hfaB1Y7YtsY2/4U61h97P7J42v0gejTTuGvTx/f1DQbmfuXiT/x/7qJOX51UeoTz1/MOqH1Aet+6Kz/i21Hiv2PWW+8OkP7oM7+bqm/FH0cU18qYrYXe06HlnPGky65Rursn34bQ6w6UpRLQYqxeTLHd+v8tMrFUGU/J/NclcSMxf1CiueLSTtvjXHUwvdbo471Qp9p9XOtu93e/m6YCjAyowYeeOABPPPMM6Pfly9fPvr5mWeeGY1yWM+8efOitnPwwQfjE5/4BG666SbcdtttOOSQQ3DWWWdh1qxZeOKJJ/CFL3wBzz33HADg0ksvxeabb961ni984Qv44Q9/iJdffhknnngifvSjH+HII48EANx+++244oorAKzzH/785z8f1VbJRG7eMcT8eA1fZ+JuHYA7Cx/dP4HRGLL+KoNsTD+mGCybVUKDPWG91jrWW72pqG/XhM7IW24GvXwTq5HbS3O++N+E6WMdut915hCwtm3+gLYexio4Y/hI8VZyKuUG8FF1oqkbVfoq+Ho1rgUrqW0/Y127oesFS06AJLkeYt+ISqbK+GsRei9MPZ7HYl4/U2Qc0veVXvZXivNWkipC761AleMck4dvMs+ryYKTGTUwf/58fPOb3+y67MEHH8SDDz7o/C92MgMAvvGNb+D111/HHXfcgf/4j//Af/zHfzjLG40GLrjgApxxxhneOrbffnt8//vfx7HHHovf/OY3uOyyy3DZZZc5ZbbZZhssXLiwq5SlX6lys4ub3KgQ+OQpGptMz52wSD+QjRep4SP0QcctFz5h5Kvfunn2w4TFZJL6ocf6wVL3Q44+52ImKayJiLrbHzoeVLGn9dZR876kkKBZ1H1cUk8KxU6IhJIiMWuKCa66SfEgHzupkoKYCZwqxO7bVElSnoLYPq77XpViIihFHeazWQJpr29bdU9mWuvV0lee59hmI/yG7ExWG+8erT4Y74XdhvAMzMmMPmf69OlYtGgRbrzxRixYsACPPfYYXn31Vbz97W/HAQccgDPPPBP77rvvuPXss88+eOKJJ3DVVVdh4cKFePbZZwEAO+64I4455hicddZZ2HLLLWvem/oJHbCsh7a6ozacAbAP3rpVuQmkeCsp+7XZaPrXC0yqNBUfyHtBLycRxgvRnyx6+VAe2gfOZ/UDtJHCKSTwOSr2x7pVhxUlE7Pt2PVSnI8pfnT2e5RGL3/chVJpUqjTvf39/mO9bqbsZE9gwtV+wOljbX+NtP1d6ZoJ/HEdmscm9XU3laIS/PuZJqLb1//xL2P7l6wo+uDXEulbli5diu233x4AcOo1d2GTrcr5NpwoAnE6ysz6pXK5dr8Y+95NP9aNSqFegWHgLc+PEv1dz8ymfosYGjkxNNLxLrP6MUVkhvV/+d1KuNhuNb3LnHLN8EStKX7M+M7pbvrFmPp9VIkakD+CpHOF7m+5rORwEXy+pz2nrX6MXRZK6Llj9VVoP1qTGVVekMkk7nnR/dwE7L6SY6w7hljjdHrZUMw518tzU3+3lvn6VC+LHYtDCR1/UxwLa9tVxkNfH+hya40+Dh2nrXZIgicsM/8Ya93vQvu7CqHPRzHnY5XxJQbznOuSv2M900R/9zrSLuZcLZ23gc8UKaI7Qvs49hmu7vPWvP6NfnTHZv+sTZrntLjz0ep/a3uaN5b/BvNPPwQA8Pzzz/dlBD4jM0jPqTKg1L3tmPXSzCSHzcxWGehDB/eqSYxitzvRsj5CZ7jNCBex2mS+ZdqQCZ24suhl9Ihvu+NtO/XDr3xA0ZEY1gRGQ2xbZyd317MqMdqV4HhKpup1Vvd5FnovSRGVMBWp8tAdc/1XkZJNlf6KnSDx1VHl3Al9nomPpJx6mHlVEl+TVZiKUp7QSBj9SFv3eRtK6siPFBOd5XIJ5OkTeKadKufaROBkBulL6h6UQkn3QzhyMPMwVULrLGJvMvYNI7AdCW7CKag7tNnsq2b3bVd5+I95+2ots+qv+6EntP46JBAxdTaMdaxlcPo4fGLD10YdZaIjNSSTNTmlSb3t2B+PoXXESlpS/EieTGLGx+g+MG7B1nnbyxcwU/WY1X0fC8XZdqSl6FTp78ns0xR9kOI5cKqe7zGEjyEJJChvQVk1JzNIz8iLybnRhW4zflY1NaknNsLDwEeMZalDRGNvmNZbFXdfwxKFpmhX3Q/aG8LM+XrqmCiYTELDwH3rmHWrYnKSIjqhY6PrRwDAcAde5KSFNWGR4uE3Sd+lmGgL7OMquSpiJjNix6ENdQwB/H1S5QdRHS806qSXk1OxkzbeCSLAyfWQYlIoxbFOnXi4Dkp91Zm8a9l7nCInj6K2NYVIfd4midqo6JbYB908LpzMID0nNklZqDwiNAys1/KIOKwfDf6BLbWUxCI27K4Omp4Z7uBEofAP/P34Q9tCXofWg0ftYaChP8onPq83qYT2XWySz9D1ZLlcj8XiMrEmNqx9CZ30SEGqvAFOHUY/+vquDveY1G9H+338Cv3xW+UHrbes8XI0yUR+BdljL4l9S95vtq2S2OSIScaayD51nlEik4Faz4jy2TI2WiJFLonUVJkUcs/VuO35jqGVpDRFH5T63pKPpkgqPgXgZAbpGZ2i6DqR4ZtgqDIYpsjWO1VuruFMfHKnDlLMVKfedqX6ZUb0cWa0Qwh1G5gquTv0tTRVfgSZN92aJzpiogYqSQ88+6blIrH5NPwYK7nzf87khkyoO2ROuCb4YTmJWBNEwZNOxrlpnVepZSf9cH+r43wJvXanilwkdf6MKuvF4otumDKSE2DKOJ2EXpOh+TPqmFywbESD64no715OnNRB6O+Q+N8rcbn2TImL53dZv8HJDNIzOnkx6YNO6PaLUGnKRBoTQYqHU7lelSz5MZNOof1YamPUWv6bRBUrLKePrbevPaTuiY46NLJe+UUddqNOhWmrG4+Y/rKlDf71Qt1MzJwZktJ5FDa54ZvYANzJDSufRopzOkZyor9XOR99fa5f8JnntHzIT5BnxmLEeojts6iNJLIHRfAEg8fCtUo7UpBin2OJmYAprSNuwzqiIPTZJjT3QOyEUajspJfXz+Sec+6zkxUR7K8jrL11RyxMJqETUtUmOtJI0if7d1kK+jxwlxBCCCGEEEIIIW81GJlBJp26ZQmh0oOYKAJrnV5HbUwVYqMxfHVY/RisozaSKln5NHr5xqXKOT1VwsdT91WcVAKItRtNjSUzsfrH9ya/SjSQjMaIlUDIr1bODCu3Rmg+jTpy7cTKfLz1BVZhl4vLL5I6Ue6UlY9FtiNmPSt6LDhHwQYQkh1CbLLq2HWmytvhmPwfvca5/0/FZKAafQ8OzEFRt1VtitwjFjHmA/q8Co/U8EdpxObC6Sc4mUF6Rh4gM3HlC34XjtA6YskT1KHH7xSTG7UnCkpMbD/KH2Z6ckT2Y+w5ETUZYCQKrYPQNtZ9M7IkRXVvO04uETexkWKCKNylxJjYCJSg6HKhEhSrHfK5eEDlzHCGY/lZlQv2iEtArx/Egs9HSaCUR+9L7ERHKCnyTPUbVr8Fu1rUkBzUmSAxLpl+cN6Q9FIeqbdnbiuxNftk/kAsjeE1/Ch36vfk06jjGUWOUaHnfj+Ma/VP3FWzd03xe2ey4WQG6Rl15syI+VGrfyRbF3QR8TZGp2mQw0ndURuxetGYnBmxWH0q+07/gCgi2lF6K+l89w/8Zj9G5NMo/3iM0//WeTPUddf9AG39QHfLBU5S6GMtk2YWKloiE+dS4jeuVSIzfJMPVfKJhObasDEmhUQfD8j/q8snF32Kkr566k1uxCZStc5HeS6VzmnPxFuVSIyYN+GafvhhnCLfhYWvjlQOF6nHaTN6pOa+Sh4NFPh7K8mLiApMpgtHioSXqfOq2fX7E4Wa9QXOd6e4JlPgTtrEPb339MVbCeu+25gyUVETgTkzCCGEEEIIIYQQ0lcwMoP0jE6Rd3GVMMobkQFVZmljZh2tqAErJ0Qm5RGqDifaQK0n96cTqbuPmcFNEmFRQ4SLLFeKcImQX1jnUnm90HJ+HfWG4t1dB9WiDapHvDTVq3U3hDss5L8kKYq4tkrXrmGr6itXalZgXoxStEGo/EX0R0Nf1+LrsPi/E6Wxbs2xj53SxStrDGpTLGb+ksDzyrLGNbcdEUWU63UM1xOfBKXKG+J+fxvnuyZT2LtWilqRDh2TmE8jRZh/6qgHqx/rjqoIjpIxgsdSR/ykIo0EVUYbxD2X+6I0dP0mEVEaVZiK49zUalOOTlHvvbgXcDKD9Iz1OTNiJRChxNYRM4Ghf7ibw7d8xldJmzL5Q0f8v0pAW+qw27qlJHVMCoXm07Amw9ybctgNOTp010gsF5O0qd+TO/XctlVeM4YcJZfHJvAZLTZ5p1uHVb+qQ07oGPk0whulvovLYkAsG1bF3MkNVUnH0Y85ixzJTyNM7qbp5fme5Nz0SXeA4B9VcpllhVuF1Em5p0oi5SQ2rRX6ps6Q/9rlfxVkjz4qJQCdxESWPlLkTqr7h+tk9qM9eRRhGxqpSoyx9QXqn3yczN8zkvFyjzBnBiEVqJozQ5cdMX5oh9Yrf0CbEQQVog2Cy4llpR8vYhAP/bHea6x8I6GErmeW8/SVWhTtluDLp6FdTyxi8mlYBLu29DAZqNWOKoQmVYx1OjEnKXw5M4wIDv0jNg98IApN0Fkl4kIij31oHghrX6yJJXef3YswOmojMEomFCcyw9iX0qRQ4HrOtozjqX9beI+hdpYR67WbapICYdEYsT86U48jdbypjonMCK1PE1y/OqWtnEjebQVG+aXIn1GlXTFUaofcT+Oarz33QILkoHVHZljU7dDho47zykqM28sJo1Binzknu/2Tvf0UMGcGIYQQQgghhBBC+gpGZpCeMZJXy3WRKntx6lnHFPKyXM2YNzxfJtMRJRQdjRLn/OJfx3Iz0dOxsr9SzJLHzv7HvJWwnE6s+qfKrHod7Qh1OgkmMGeGzrvRcHK4hNVRqtPYF9/bV2uf7bwbYWVLuSRgnVfy+1i5gaY/NrhT2q4/9Fj28bAxuMljM5k5CsJdT6yllo5o7KPuD5+0JJWFay/dkiSxUSYxkjxdNnbb5v4YMsI6qUNqk0L2aK2TwkUk5r5ehdh8SRMl+vyr4TkhNCrULReXT8PKS+aToPTS+S2W6KjhwH2rGiUTqUacUnAyg/SM9TkzYrHyOaTI9WBJUHwTGDE/3NdtQIV3yx8KhhylEGHymarDSYxpbLrunCUSSy4SK92R+1mqX9wjHQtXVWdoPg3LwrWK7CSG0AfhusNYRyIfAmPOpdA8BFV+yMsw/4Y5SdF9nfLG/V+rTMr5qJInw6k/NDmlI0cx6lMby8XYI5ODlnfZkJI0jRhu+VVcWnpCN0YSnjz3iq4/9hp0Os9fh2N3u26Dcunop9BEoXUwVfLzVPkxkyL3UC/vp/2G1TfBtq0JJCcWwZITIDiPTS/zx8RKUFMnia92LCael8wn5TUnCiZx8tuilwn7u7Eh5MygzIQQQgghhBBCCCF9BSMzSM/oFOkiM2KRM5CxURWFGXIehkrkj0KEDkhnk1A5yrq2eBc5xMpTQpOnWoSuZ0l5ZJ9Yb0TltkqJVAPD/KKs3jTSYjHyDbG13lR92yCRfTUQOYUem0DTeeFX6isRbSAqbVgOOobTiZanhOKLHAhN+Dneer5ojCrnoyOTEZ+1BGLAGqQ6zqtNtYW860fLgSZU4qMJlfxYiVRjJUBuQfHZkC+VpDyiH6Wlq+VmMhUlJ70gSvJX4a17sKtIAgvXFMcihUtJilD+Xtu2+uqv47oI3bfabVuNMDZXgpK8GQ728YxwPdHU/Fq+inXtRIlNri8jnbIK51UnLzBU9wnQAxiZQQghhBBCCCGEkL6CkRmkZ6y3Zk1h4VQlZ0bMTKeODAiNxgjdljUP6sqh/bk1SjORUqouZuQz/aY6qIXhROcNkXVUmBgunBe4YZErJd19YGSGP3/Guq2PLqs5f4ZFbNRGCsvYuvG9/Y6NWGiqN/lu7gfjjb/xBt3NbeLdtEmKN/52tIos5488iEKd+rkTueJP/NYoXU/d80DoSJhhuUzVMFna39jj4osMAqBel7rLBny5Rwz7wqmS0yIVddpkxubICE1aXiXZc2pik3em6DsLb24mfe827EZjEl5WigIxUv6E0svk3XXbtIae7zpSxb/fcYlCJbF5veqwnQ/dVorccpJSJLKnHcC6/toQcmZwMoP0jIkmAJWkqEcPIDEXtDUIxYaLOUF3hhxFTwBkDY/8wpCj1EHofqdwhdF1eCd7dD8GJge1bkCxGfR91BHuGjph0csfOpbUw8JMjOnIKML3Rf6AlO3SP7TlV+3Q4awn/1/h+m942h+b8LPkROCZwNDqhdC+k7vW0BOuzvH1S0nK2/KEG+sQWDEols6liJlafY1Y/e87TuU6/dtz1zPOEXFwtOxJSnucNqnq2iUpzxgxCUHrdnSqg5hxOnYyI1RyUmqHkezZl+jQqjNY+pKIFD/QW4F19DLhamhyUD1JHlrn1LlG3HGik6f1yot3JvRLUKaKo1sq18X1mC9LAyc9S8/4hqlAB/0vJQQoMyGEEEIIIYQQQkifwcgM0jNGOjlGRvJScprUyZisiItYSURu1C9xkmRa21Lx6PJtnayjUP0h+05HbUhJSqgcxULLU2L6LjZ8LXRbpTZ6JCjlrvIv80VjlKzknO/uVHgn95zHamMppB4x4dbWevr/sW8b60S3MTSawazTkF8ER23IiIWStam/f3zttxJ5WnVYh0y+rC8nuAyNkpHb8vdHuY1jGx8uaXJ8MdzuRSOjFHTy0cmiFMGRwGLYjdrQx0meaP7Yd9k/k2nb2kssCUesjWWKZRbOM1DguWON5yneFqeIGogN+TejL2K1fInb4VtnPKwIlDojNWIti3U537kVG7UVfq7qZyxZ39R8L58kglyMX8HR3kZ36KiNBtJIxSebqXkGEEIIIYQQQgghhHhgZAbpGXleIM+L2m1DY5Fv9UNnKktRIMZ6sqyOTvGt1zAtSlVZT+JQnSTT0s/JdsX2QQwpbHIBN1Kj8L/cVQld3WWhOTNCbVvrfsMVOvvfa31uTyM1jGgGp1xgP+piTo6IwKgNfU2HvnG12m9FoFSxavW1KSYhqNUfepRy82uYaZC95YbF1wGdfNSxvzSqN4iN7PHWF3vdObutdqbpySlSDtcTn/3L6rZtnczcAOZ1F5NjpebkoFOV0HtabC6D4ESk8nhWOH4x96MY+3UAwclBwxNjpmcyc06k314Ce1eFz4617nx9+pk2Jjmo2QPa5btTIKc1KyGEEEIIIYQQQkhvYWQG6R1FgaIoSppHJ++BETUQip6t9GnOovM5BObFSOF0kmu3ARk9ovdT9JeTW0NZG8r+Nq1NI7Gta9PWp88Reayd/cz9+5mpV7GO04kRmWHZtrovTuvNXj5VMqLH4hwb4wRsGDktJOV8GmHtcJ1NVJ3SQtPImSHbpceG1G+xbTeN6lEa67ZdfXulCBQnv4PKd+Hk1wh9nekvp7tUOs00iomP9Xp8SZ3bxN64qE+7JbiC8e7/B5DL81HlNnGiONSTYL/l0IjNPRTzlr/XTicx1PGmvZc5NHqZP8P3Bn7dtrXLR0SkRoVLqdcuNCHo/h8xnokkqc9BHdnk76vw4ymxzoOp4vYReh8zy+ln4UaWxFlwsuFkBukZnZECnZG8/ANU/KCWP8LNSQ+DFMlsShMiwXajEcl6KtDx9BXgl6SEylHWlZ0ag3Yo9kSHLOjfz0z5GTqh6oEyk/IyGcLd9JZrGjHtoQ9+oQ9AVpizVUeKh1hnv5v+crGk/mFfmoiQUpJSYs/uEx26u2MkHBrb8tNYT/4wNiaF5PfQ5ur+lV2nZSC2zCT0F4Bhzer8mI8LR3e2lOCYlZOshq3n2nW6ywakbatzolWQmYi+ylUbY5KDTpUHfo11DOX5EzqxMZnJQUPL1T3BHZtMOsWErpUstZP4+UX/wPX9GA61cAVQaXJjPbGTHE3jedpXDii7YYcQO7HRW7lL+I7VKksysCQo5bIT3hxyFNGT/VMJykwIIYQQQgghhBDSVzAyg/SMolg3k6hnL4VbX6XENd7tBCbM0bOaddsTRc1+dgkJ8xaV/RiYOFS/aChEBlYdCZNFTH1aM8dWf6eeKS5tS7whLp0vYj99khP93bJtNROFyjeDOpTcIOZNTeg6dbxd7CVWE8tygO7l9LFo+Kx2oRKAOoo5XUeYPM3CkTlUkDJ4E4BashLjfLQCFuSe6XKyyfotp7Qbbebd/79u2dj34dIrxO4RCyU5SuTw4pOWxFoFh0d+6AaHRp1Y0S7GMkfFMvWv+ViiJD81RGZYUXOp31yHbkvTy6TWvu3q9WKtTWP70Y3UGDspUl0jvj5OYrWbKIrFspaNYfLkKOFYz3oxkVOa8GT7ceuZdXbSP29PBozMIIQQQgghhBBCSF/ByAzSMzqdHJ1OOWeGfEsuZy9LkQCByUHr0Jj5kn6WknAGJhiNnVGVLwZ09zj5OmQy0NIb4qxrOUAlDi31f3+9ocsjzxc31UZszgy5LBef/YkCrbdMdee0sAitP/itmDr3BypEpIRs27Ib1ZEI7ht0K9LBiCISi+S1paMvrKgNSegbUL2oaeynu54/Z4b1otpJKWAdMrFMjz1W1IZL9fwZuqzct3IEx8QjY2LxR8kYdavmu+dS8JaNSsOWDdWsOZ8qxNo7y1wjgJtvJDY5qG88qNK/wQk1a47aiGm/lYCytC2Z76rm/F++KI1xMYY2X//0OjpKRs118o5R0k8vk4OSiUVXMDKDEEIIIYQQQgghpMcwMoP0jCIvUORFl3c73d+gF2pCWOZwSJI1WL05dfNppJ+pdC1iIysRzhuW24s1SxmTWwPoEqnRZbvjkUTjF3hsZJRJKfrCcDpxcmYYUTihtq1to43O2xclrpfLUmQzT4GuL3X95VwSKaI2xj6XnSX8UQqSUEcEGcFRSsViRG1Ybik+rAgUq2xongwr34Vr/GDl1lCRa+KrjtqA5zg1Orp+601hmMuH7P/Ye4k89y3HktC3/Gaul5KDjvwy9nGg0uupmHwaKvIgxpphEgl1ktE5VUJz1ZS21whbL4VlaS/fdsfmqrDw1aG3FRPF0q2elJRtPQMvxAROJxZTJQKi7iiN2MijmPM2NkJXUiUSQv5WqOs3Sx2/d3oNIzMIIYQQQgghhBDSVzAyg/SO/4nM0LOAmUcnmKlZU19kQHRzavaErhKFENoW6y2ojNqwcms429U5BCpEaoyuk+C41KHZK4xzKbQtvvwZgD0jH1ou9o2Wb726nUhi30pOJlZejAHPq9oquRHCc2aERW3EYkWg+PZH/9vKi+GLxrC6SrvCuDkzVP8U8j7gVFKqdayN7qjUEK/UhzP/YOYcM7UDoU4zsfkzQqMxrBwuTjSjOIeHVdCKFakh9zPX91rZP7K9qmvazer5NKbK22ILPSzISI3ScTH6WB5rmU9D5tLQ5ULptZNH6LZ66XpSchGTz5Kd0P5xD6Cb4your0eKfBpNIxI56nwpjL5KEJ0Wm8MltlxMNMZUeSaxqON3iVN/6bkkq5J4acrCyAxCCCGEEEIIIYT0FYzMID0jL4rub73EDLr1tsuK2kiB4waiIy6M3Anh9Yv6AusotcMo60RtGLk1msYcZmg+jeA2TZGZcKsfTdcWT/4MXWeojlJra6W7Saehj1Ng7oQE0RgpIkTqjgoJpUruC/ndehFu54WQ9Y19rpIzw+eWEholsK4OfwSKr1zofumyVt4NM55ALNTnt4zGyJpirDejVkIdOtzrznGTUU4nzhvRwO7Xb/JjciyEHjO7Ever65oTmhejtHVvORkJ0m7682n0w9tR817lXMzmQOEQGkEX6zBSJ3W8rbfuFzHb0/kznPNMXTN1uptY+5ksn4YkQW6N+KiTtP2YIl+DDEirEsWSYlwKzZmRYj/17wbfbxbruaGU+w1Fl3O0/2BkBiGEEEIIIYQQQvoKRmaQnpF3cuQjuRlV4eRw6Oi3l2PrWXk3Ygmd2ayD0FlbUwvn+aLfOHXEQv3W0ynbcuc6QyM1LBeRqYhuo3QVyY2Z+zxwRl7qepuR/WFpg63/x7xtqDsvhp0LwE+KazLWycOsU6wnW6j3sykibwrl5OG6a3T/fxVK7hpiv80IFE9eDL2eXGJFDehF1u5kMppM9o9O1GAcp2buiyLwu5mUNfNyWfr8GbKPQ9109Hkrz7mOOS6PtX+gdPJbun5vhiRvOZ2vQ0ZqyKiz0Iz/vSA0crBhhVwZkRq+PBl63EyRTyO2H33rxTpopSB1LikAaGr3pP+hjvPPrjMyn4bEytPiRJZN/ecvSezzotWLsVEboSRxVjTqqNsBsFsew36EkRmEEEIIIYQQQgjpKxiZQXpGnv/PzKuaBZRvPSwHCql5LEViBObdMNsXqDNzIji0hs3JraHqD9TPxefk6N4/ZcWm/62nI51Tb4gKUaesPzRiQ683mVjnmTMTnnc/NwEg8zhhAFbOjLDcGgDQEXkUeulEkuqtWIo2O9dXbLsCIwdCnTxC0cNJJt4Mlt7tBubdkOg38mbUSYSbSbmO7v+vYO5gphvIZJSCPOw69wj8yySD4m13U+UkGTY0wm7/x+nFLceS0Mik4OMpOkHnIbHytNg5M9Lm0/Cu0oeUojkC82n4nE0AO2ojhdNJDDoaMIa68y1oZDRJ6S28jFiAdW8VEUW57yROlXMiMp+GVX8fRGNYz9BOucB9kXnhMj2+Sne60m8K8TmFY4yR0yLW6dDCF02un1XNiO68wAaQMqPfbyuEEEIIIYQQQgh5q8HIDNIziqLoOiPpnVUNjOAA3LfrOmt1TDRAlZnNFPjqj9bMGzOtrmJTv1aVM8lqka8+tUBuuxT1EOFIM1X0fPoNgtT4lzJEeyIu9Nsu19Nev8Kt3sYqb/VC826k2PaUdTAQ579souXkERqlUY6+kG9m1DJP1EZMpMS463n2ebw6fHky9LhQejPmrGdsT+x44faCW06GY+hrRroxOfupOnxEfnEHOtt1RqxlDEuhp7vreuJfppFvmS2NfEOMITpSYsDZXpwrjEt4Pg1zNcFk5dOolNfH6R5/Po3QsbhKPg2Jk5spMiIitetMirfdVdax2u9bZvVNisiSauskyKfRx1gRC8HPgUa3lSIQjKiNkUl6VtUR3anr7xZNnipSZDJ5610thBBCCCGEEEII6WsYmUF6RpHbs46A+0YuU1Ntsbq41NEAlvZtvP0LoYpHtMTJkyHq0FEaTv4P/TZdanmNfBqmBbqsQm1btnGqRFxocudckgv851Wu3vxauTB85UrLCn8dMW/QQqM26sgkL4nNaZOC0G3riCXHDSR0Y6pgAXl9qmUy2AByfHErkevFXj2+PCFAXNSGHoutCBcLmYJG7rcOqnBNrlS0lFxPrthxGzJNjHMNtWw4Gxu09HGyc1CEEXP+W5ECwfWpSC97+A1zhYnJp2FFaejIkl5GdMW6LDnrlbpHJn/xR7jE5tOQyHwRKfJdaGLqDI2OSEXT6AMnGqPjb0fd+UasvB5uO8YuFCuvx1TB6sfYPg19DncXGBHdRtR2R7kn+qLELQek0Pwfer+s9UIdXnx5/XQdG0IURjem3hVBCCGEEEIIIYQQYsDIDNIziqKo5iOtczaYM6xjn+ueYQ2lpE2zZk49s6VVohe8eTesrPiqjzvyLVBLi7i759MIjdLQ25uKziZAeLvk8c0a/mMd7WYiv0fkz6hCbH6L4KgQ682yUYe1LDVWxIIvX0S3sj7kJZ6p8UsGYNiuJ/68Gymwc3T482T46qiST0PiROiV0vr42+F3QVHXuM614dYy+qk8LosBzKwjDBnxo88rec2Y+TNEHdrNRDre6DrcfYtzLEnheuLo2I0qJtOlwep/2Y+lcc6TTyNX5ay8GKFjc+hYHJM/Y7z6Y5096qRl9ZW4dnWONTefRti2qkStpImaCcutkfqcmEzKz9OB61kxjFZEt8c9Uf++CCX0Wb5K5ERsdKCzvYCI+X6AkRmEEEIIIYQQQgjpKziZUTPPPfcczjnnHMyZMwczZszAFltsgb333huXX345Vq1aFV3vvffeiyzLKv0ddNBBXevaYYcdgtbfYYcdottLCCGEEEIIIYSkgjKTGlm0aBFOOukkvPbaa6P/W7VqFZYsWYIlS5Zg/vz5uOOOO7DTTjv1pD2/93u/15Pt+CjyYkJJHzt597AvAE7UXSk0vdF9m7HhYpI6wrOsPkqdNNOSgXRUuKvs86YYOUItXPX2LPvYqSJBCaUkGxJyAEtKMuIscztEWrVa67UD2xhqnVpJZhKaUNOxkgwrVwXZP7nneu+Gb3OlIUQUtCLJTRmFk+DSXSSPvJMMVCcYjkgiqrFsZp3knWq94L5y1jGSg3pb6G6sJPQouhZb913K2IzTIFQmUw4zF4lDxQZ6mQwUKNu4+uqT1qylNorxZaChKxzbcbuNMclB3XLDotyAKhlzi+51guHg7Ynd1vspu8oap0PlKFWIlZ1ILElHzLZik1pb+KxrmyrJspuktKGWWR7D3albwqHb5PZJ3Ptq1zJ+4u3Xx8kntTETV1qWpVbSfNE91v3ZvmemJVYyE/r8381+1betPN8wrFk5mVETjz32GE444QSsWrUKG2+8Mc477zzMnTsXq1evxk033YSvf/3rePrpp3HEEUdgyZIl2HjjjSvVv9dee+GJJ54Yt9yZZ56JxYsXAwBOOeUUs+wxxxyDz3/+897l7XbozyZCCCGEEEIIIaQ+OJlRE2eddRZWrVqFVquFu+66C/vuu+/osoMPPhjvec97cO655+Kpp57ClVdeiQsvvLBS/TNmzMCuu+5qlnn11Vfx8MMPAwBmz56NP/qjPzLLz5w5c9w6U5AiusBK2lia5LSiNhLjziSn30/ftiyqzCqHRk4UMvldCgtXNWMeY6dbB16bVsBNABjYyVUSgDrljJlzq47QhHHO5xQ2kPBHYOhrMNYSMZTQxIHajlViJbWUfReeDFT1gfgsD6F+Mx2aRFQngvSdWvr0sBKdOuWMSJXw+v11SvRbI6uNDdEnjcJov9N3qg6ZRFQvE9EYw+Lg6KiH0HMu9FrTkRi+Y2MeC70vTtRGufTYtoqu/1+3THwZ0TeM6slBh3W53H+cUtOxEnlG4r2G/Lm10faF3cC2aY1N0OkmvIx7ZglNamltK0U7LHyWqPpYh7ZRksoKN/V+2/auU4PYqAC5XnjCfrecYyqggm7k/cg6LllE2IaOjrD2JThxaGzUxgQj5qcKzJlRA0uWLMG9994LADjttNOciYz1nH322ZgzZw4A4Mtf/jKGh4eTt+Pmm2/G2rVrAQCf+tSnktdPCCGEEEIIIYRMBozMqIGFCxeOfj711FO7lmk0Gjj55JNx3nnnYcWKFbj33ntxyCGHJG3H9ddfD2DdDONUmMxYPwOYwk5II6MIrKgNM+9Gzch2xfZBjGWstU6srWqMhau1vdK2eqh7TnEe6D6WVq0+m1b9Pdq2tWaC811E2rRa9Tt2oAnOifJ153nDbdShIwh8URuh+TMA982MU5+KLpCHPTTvxrrNBUanBOYGaXj2ed16oo5S/d3L6WWqQver0wf+sT48Z4aqw+lzf54JGJENDVEudKwvWbMGvmoKjsZQ5aRGXEdtDIh9azgWtEb0hX6aHPHl0wi1cFWRGnoMnCIvE60xUbbRtHd1TlZ/pICV2yg2n0ZMVIEVsRATpaHrrDuKIDT6otzG7vXpnCFWH6S4d/eyr1LkVEmBHut9z7VVogzs3wMyKtffx6E5OerISxEetZF801MORmbUwP333w9gnRRkjz328JY78MADRz8/8MADSdvwi1/8Av/5n/8JADjggAOw4447Jq2fEEIIIYQQQgiZLBiZUQNPPvkkgHV5KlotfxfvsssupXVSsT4qAxg/8ed67rvvPvzBH/wBfvGLX6AoCrz97W/H3nvvjRNPPBHHHHOM/aYxgLzoHpXhm120Iiw0HRgzrOL1iHw7UqX+GKrMECfJrxEx85vCiUS7njiRGkY+DeuNgjxPdO6OmOM0qVE4HmcTjX6b47qb6KzqYXWG0jQiIOSbR+sNRWyujdD6JxNfVIJe5uTPqLIBj3tH2bFEHHcVteFELOhog4ix24y4CMyTYeXFiM3XIc8X3T/Om3BnPPRH02gsM5xMdHIm3YZ0ZIbVRs9bMisSQ/eHGw1k5AYx9lPmVSnFK3mPoeVY4i7Lm2Hl0uTTmJrIc9WK0hiQB1+fIA0j+kUQm0/DR5X7ii9SoErUhy9aopdRGoDtcifdTWKcTTR1RDPU3XcjEc8esfsZ4/IR+ywdGtGtcZ8tEzzHGzkzQqP8qvwW2FByZnAyIzFr1qzB8uXLAQDbbbedWXbzzTfHjBkzsHLlSjz//PNJ23HDDTcAAKZPn46PfexjQev86le/cr4/++yzePbZZ/Gd73wH++23H26++Wa84x3vSNpOQgghhBBCCCGkKpzMSMwbb7wx+jnEbnX9ZMabb76ZrA33338/fvnLXwIAjjvuOGy66aZm+Xa7jaOPPhqHHnoodt11V2y22WZ49dVX8dBDD+FrX/sann/+eTz44IM45JBD8NBDD2GzzTZL1lZCCCGEEEIIIaQqnMxIzJo1a0Y/t9vtcctPmzYNALB69epkbfjWt741+vnkk08et/wjjzyCmTNnlv5/0EEH4cwzz8THPvYx3HXXXXjyySdxySWX4Morr5xQ+6wwKkkpwY9jk2kk2rHCxSLkKKkIDhELTeqTIKFQOanS2OcYycm6OvyJ5eBJjKmxZCGhtq2TaekaSmwCUJl8MCbs06KUhNOwbQ2VA1jI+i2JS6jNbBViLiG9y76El6HWoxal61NIS3SCS8feTV13sprYU8SX9LOUEDWwDl3OkegEHhh9jUuJiBstXqhy4pxTdQ4boc2ubWv3/wOuUqCUSDXiVA09darY5Er0LnslKE1V0Ezs6U337C3XUXHlA83u5QAl34uyaewtPskJoBId6wPlSBb9ySljk4OmtwMNkznUbRcbek8oJQA1+ti3b3Unv0ydNBSYulatqYk2HAj8PRD6PBqKfi6W7TclKIktXPsNJgBNzODg4OjnoaGhccuvt06dPn16ku2vXbsW3/3udwEAs2bNwh//8R+Pu063iYz1bLLJJvjOd76DLbfcEgBwzTXXBO0XIYQQQgghhBBSF4zMSMwmm2wy+jlEOrJy5UoAYZKUEG699Va8+uqrAICTTjoJzWbpVUplNttsM3ziE5/Av/zLv2DlypX40Y9+hD/6oz+qXM/6RDPWzKA1u+gkv1OvNsy3np6IDiuCQ1uFpiZ0djT2LVP07KvY71hbVceST9m2ykgN+WatkkVsD21bUySkLIyZ9Whr1sC3Db1MDqrx9V2VaA5f2dCoj17gS3ip33yFJrh03iSpcvJoNkpvcPwJHZ03ijI5pbcVZXzRGNYlYkVtlJJayv0Wb+gzKwtc5g4OmbNo7N6nI4qG5du0UqX+N3Ju1IYMd/FHoGWF/xjmkQnj5DgaGo1hJgNVy5xIHllO95YROWEn/fSUU/eLNeJeMqAeZYZ9+Ren0Cs67/3DsJktJVL25NNuh3r3Ik1y0Jh7ibWOtjP1le15AlAjssSNxvDXEWN3q7cdu04vIy4m0z7el/RTR2KkiEToGOO0E42hfpfEPKtGR5II9C1zqkarpWQKDfsbBoODg9hqq60AAEuXLjXLrlixYnQyY/vtt0+yfeliEiIxCeW9733v6OcXXnghWb2EEEIIIYQQQkhVOJlRA3PmzAEAPPPMMxgZGfGWe+qpp0rrTITf/va3uPPOOwEA73//+7HrrrtOuM71pMjPQAghhBBCCCGEpIAykxrYf//9cf/992PlypV49NFHsc8++3Qtt3jx4tHP++2334S3e+ONN45OnqSMygCAn/3sZ6OfZ82albRuGQJlTZpY4WKFldjT2Za/HXJmz5Kg1EGKpJ8pwumcOtRUZ0xy0EyHwovPWaCkJTQZ6HhlQ0khLQnFCsV0E3vqpG3S737iCUDNBHQCKzlobDJQcz1P/dY6sTIkN+Q/rg5fMlDAbVcpiai4rmX3F8a+6CWOfEGdBpmnnE4iGoqVyNMnu9GUdi33SEsMmUmWK62B7GOxXqHkKG0hvxwxEnSayUDF52EVhiylJVoS5qiIpDSowrHwnRblpLP+OkrJmZ0VZR3y/qyKFf5zuunoAyMkJ4AjO1kz4k8O6pWcIFySl4LQe4eV5NMce4x9thKAhi6TaKmElfAyVCKSWnoQm2A0tE4tZ3bLyXuwcQJGkjrpZxU5zVQkhVQiVuIeajignz8teUoMpeSggb+dLPKiSCJtmWwYmVEDxx577Ojn6667rmuZPM9HJSEzZ87E3LlzJ7zd9fW1Wi386Z/+6YTrW89rr72Gm2++GQCw0UYbYc8990xWNyGEEEIIIYQQUhVGZtTA3nvvjQMOOAD3338/rr32WpxyyinYd999nTJXXHEFnnzySQDA5z73OQwMDDjLFyxYgFNPPRUAcNFFF+Hiiy82t/nTn/4UP/7xjwEAhx9+ON72trcFtfWHP/whDjzwQK+byhtvvIETTjgBr7zyCgDgtNNOG7WTrZvYWVT9WtJJ+mlEcMhZ+FJC0UBb2NDIgOh9iyC2vtJMpyeSwpoRLYxXv4VMmqe9DaU1oJ6NlgnREiQDDX2bFmOtqdHHIvRtV+iySvausl3OzLy7n6FREMHJO43+Do3u0HVMxRdLel8aTsJI9y2zL8llKfpCRBi0VLSBjOLQL1pk/8jToGz92rUZJpYFrRmdorbtjcbQO2MlBHWKjr0tlclA9bYGGu5jkDuG+xO6DVtRD0X3z4C2bfVHPYQei9AknzoSI3Q489q0wm1/OQnq2MfBli9KQxUsUT05qBWlUTd6fI+K1Cgd+O515Oremtq2VSfotJJa+u5jVnJKa1nMtnpB6LZbgeVCI1yqRN36Tv/YYxG8XWNfrIiCkP+PRwr7UiuywYrQcZ4LI6M7QtHtD43G8CVL3ZDgZEZNXHXVVdhvv/2wevVqHHrooTj//PMxd+5crF69GjfddBOuueYaAMDOO++Ms88+e8Lb++Y3vzn6+ZRTTgle79JLL8VJJ52Ej3zkI9h///3x7ne/GxtvvDFeffVVPPTQQ/ja176G559/HgDwe7/3e+NOqhBCCCGEEEIIIXXDyYyaeN/73oebb74Zn/zkJ/H666/j/PPPL5XZeeedsWjRIsfONYY8z3HjjTcCADbffHMceeSRldb/3e9+h/nz52P+/PneMh/84Adx4403YosttohuZ1Gss2W1ZheDZ1EraBSdN2HyDZ31FsV4WRSad6MKMTPSdUd3lN4yeb5Y+S466i1cUyztSLs49dYt1LbVSsZgaRl7GY0RSuwbHKkJ12+0gq3TAh2cdb/J7i/ZtibOp+HWp+uQ5fzLQqly9cjazdNK2o3mKjG07w2LikLIZDSGtjYVy3SOCDnuObabOugB/mWhBOfJsAZSj00rEJ5Pw63PLSf7R0fFtJrt0c8NdTINB3ZKJqssBSKIcUnm1lBnnbwurBdwodEYoRauFuVdMaLr8u7308GWHtHj8ml0RKNlbhNt4SpPM/2CdSpqxUPzaehybmzvxG1bq7ydD42QqDuSInUODX3vkNeo1Veh27LWSxGZbD3nWE/QMfk0eh0lkwL3t0dkHU60t7+cGfkdui0zZ97Y57eCFauGkxk1ctRRR+Hxxx/HVVddhUWLFmHp0qVot9uYPXs2jj/+eJx55pnYaKONJryde+65Z9Qu9eMf/3glGcjll1+Oe+65Bw899BCefvppLF++HK+++io22mgjzJo1C/vssw9OPPFEHHrooT39YUcIIYQQQgghhPjgZEbNvOtd78KVV16JK6+8stJ68+bNw7x584LKHnLIIdGZbPfcc08m9CSEEEIIIYQQ0ldwMoP0DZa0pIrsxEeOMAlKdBLRCGInqYLrN/pNJ82ToWs+ycm6ct5FyEUocsMIi7NsW2XYow4TbjiSorj+Dz1uVkhhKK4VbnioqrRq9dm0jldHaspJObsnBw21YtXIRTr8NzQRbIqEsaGU7FfliWwktQyWUZQSgArphJaZCFlLIRJeNlS5XMoSEtjK6f7WST8dPPtdSo4qJTqhscG6P+R3XYe0yW26wfvS0tWypx0xbH5l3kZ5feq+kvLISKfgYGlJaPVaEiZVJlIys24DYt/0MkF8clCBkEroIW9YfjGSa/ZScmKNQ6V7mi85aENJoETfacVPjG2rNRZbCTpj8UkbppJ8IbRdKSQokhSJK2OT2utj7XuuqiKL8UnLq+Bbr4p9aXJphiVB9/yGSIWzn1YS1FIfFBtEUlBasxJCCCGEEEIIIaSvYGQGmXR8ST9jIzFCl+nIA2uZL4moORs4RacKQ6NYdDm5394oDfUPHVWRyWPd6P7/ddv2J5YzZ5GtbJITxIrESGG7ZaHfjjQDrVkloUlES28oDCtc+b2UANQTjWHZqlrJOu2IjrHPA+qNZYpoDOv9f9Q7DZ3U0hdtUCErmZscVJ2sTqiTuK7VONcwojaKiH4sRWJYEReBSVDV6zS1vbD+chKkqvPFiozJRKRGS3zWPWPZpYogAjdZst79hnybhglTstA1y0Yc67Jx6+gnZ4kxjsYnBx1DWrYCwIBYbViV9SXXrII8biluP7rv5ZtUy8JVWrNq21bnHFdP/b6ICCsyQ9u2+ijdc0KjXyKTMU4WTTWGdIxnrBRRJ3YiSM+ywOSUwDjRqT18i193ZLK57QibXCsaWB7r2Khhiw0humIiTNGfW4QQQgghhBBCCCHd4WQGIYQQQgghhBBC+grKTEjPKPICeV5Eh45J2YMpJelMPBloKB0towiVoChCw84mM5TMJ8PRsgQrOag3dE+FxXZEqHBThR7LEFodCuuE5KZIBhopLUkRRhgqH3HWUdeWVUfdidVkuPSAiL+ukryz6en/sqTFkLtI9YUOtZ8qbtNSztAZk5yUpRjhCUGd1Zpjt3o3+aV6BDAkKHK9IjL7rZncNCIJqtk/xn0my6RURVUhBo6s6a+/IdvbbLvlnOvfL7+Q51+m7yWeRKHdagwhVlYSeo00SlsQklG5KFflpOJH1+GcnnHJQaXsZECt4ksOWpL8ROLIMSPvCfLYWElK3fFW7ah4UMnVAW2XpD3dGZL3ZLUvqROCmnKUSAmKTzYTex8MlYtoSU5o4tDQPg1OvGkktS/VaSS5T4FfWp58U2q77vfQpJnOOta5aQwc8vqMlapYmOeBkXC1mMBvsqkEIzMIIYQQQgghhBDSV3AygxBCCCGEEEIIIX0FZSZkg8CSloS6d1j1Zc2mp6SfHP51dIhfCvlIEp/sQCznF8vpREpE5LJcOZZIiYjeLydKPtDZpOQ9LrcVGNYXKyuRmcFTuZ6ESlBGAmUmzufIKW6dyd/JjB8oA7HkI5Iq0hTHccUItreWJcF08vAs02OXGYfrH+cyj3ykyEbcckKO4tgNASgaHqlKrFbHCm21ZCa5JVUpui6zXE60ZCbz1AEARdNTp9oX6XTSaGq5zlhZ19lE9Ucuxw13kYxmNsOeDUKlJcHDQUnCJcZf2cSGfz9Ly+TWS0+rQjrh6FiUs4SocljpQr1OJ5YrlFoU42Cij1moe0zDOjCGM4u87+gu9jmYaFmGtcznblJFwuErq7clJSj6/lC3dDKUUAlKad8SPwdatwtrW86QaJSLfZ6JeVa1nvXMZYHjY6xMI5SOIQ50nh9TadwEbwWnE0ZmEEIIIYQQQgghpK9gZAbpGUXRfZbUnUn2J/l0liWIxIiJ2NDbtiI2dP1O0kwjasNCzoTXHYlh9Y/cF2s/S3WK4y9fsGY6cqLhX1aIN3m5Shwq33TI2fRmDW/dQ6MxYusIpSM6sqPepodGcFjLZD+W3wIbkQ7yJWIm3+q55QbEa+fQiIsqCQsbnoSLuo1OHd7abZJckkZUQmgCzRLyVZs8Rxo6AehYpEahljnJMJ3IDBXBUUdyUG851eGhSURlOStxqkqQKiNcvFEaqv6miNIAgExGbYgTzYkMWFfJ6KdOoc5IcaJ5IyDGwRqifD0SOq4BQEM2xlnNrSMToQKZ3k/nbaZqle/pdUQdCyPBpYzU8EZpwL3XxkRi1EFpDDTepjtJP0u35+7RL/qeEBq1IaMBS0k3ZZ7jwJPVjFaoMtTUmFyyHGERVjY2EsOXQHPdMs86FQaHQjzSWde8bH+VYT+0jfU/41aPxqgjyqFw+rHeAaYUpZwXG0TkBiMzCCGEEEIIIYQQ0ldwMoMQQgghhBBCCCF9BWUmpOfUE6aVNgGoVYcpowiUoFhY9cclTpr4/lt16vbKZVpO0/B8MRM4Zf7QQx3a6KtH15E6lM8KxZTSoLpDCEOTfFrLtJQkNBw4FB0ebUlQ5DI7LD6wnE5SGlx/AiLkFyX5gpCBmBIUAykDyXI3AagjO9Hjhk+CorJTZoYExW6YRxaSh8tpvNISS5ITWh+gsw9H1S97pKUkKP52qO8yX5zclJFkzjo7rKNkjm3WcCbWk0NPU7XRqV+P384GqiQHFUjZSYTkBOgmARoj9J7sJMZWHSfH3NBkoFWw6pRSTSlHaau+6hjyEfm9lUBG4dvuhJikV7e6r0YC98d5VoiVoziy3th+DEsAWiR4zCxLZvzyDl/iY2s/q/RBqLTEqtMn7THlejUkXHWq3wAkJd1gZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK+gzIT0jKJHWXPrlpxY9VkSkRTrTXSdOqiyL06orfy/iqN2ljVUWLIT/qfCdbPuobA6JNFxSAkM3asiEQkNBwzNEF8HPpmJlpXIY1YKUQw8BaV8pJnp/ZSflQQlUj4ikes1tJOC47giP0+iZYHsf8uFo6MkItZ6AlcGoh0RRJ3a6aTwSFD09S7qLzmbNALfnwhpiSmfCZR3lOQ0WroSSqO6zMTy/2mIcgPNtltO2Gbo0PSGcP1oGK4nrrxDNdGQj/nCoEOvM410AClUG52hX58e5jgtxiXRq4OGlEQ7nXScOsfWG1Z2FI7TiT4WPXQYs2i4A52L0y41xor2y1utHou17ETik6BY97BOJ85dK6ZcHYQ6hVlY9/y69y3Fs7jrZjLxe2Zsm1Lsi0+2UiqnpTDGel7ZsyHdsfrRumZCnaa6tTexknhSYGQGIYQQQgghhBBC+gpGZpCeU07y0+n6ORW+OuvYVt3IqId+aH9o1EbZX1yso88XmbBMLXPz84W9NdB1NJthM9xyJtyKxMgC31TVgYyy0G93vZEZRvSFfjEQ+jZDYiUADY2cKAUUJIjgsJKBhr71kNTxtsNNcKmjjfzJQZ3vRlJOmdgzy9T40vREbRTuY4STYFRf77JZoclBS/siruvQqI1SEtGwKJZynWLbos6iaSRjLfT9zhN1osrJ5KANlUxaRweMosdDJyJClfUk6AT810mKJLl56dp1tuBfGNpIxUAjIlGoapWZHNRK7Ok5Tvr/DSOKMEWUmKxfv92V454vGShgR1zIqA15/2ipck4Eh6q/Y7yt9tVRB2Y0yRRJnmglB/Ul/dRRAqmjpKvUJ9sfup6+LkLXs28R1aMx9LNqbHJQ/0pxCUCtaI/x6EXEfN0wMoMQQgghhBBCCCF9BSczCCGEEEIIIYQQ0ldQZkJ6Rp4XyPMiWB6hyxWdictRYredQt4h16sjeedUTAiq2ySX5UK/oGdVZfK7kr+4yFJWkqDk3UNmLalKisRVmlBpSWgC0BTyFB0iGyozkVHJOtRTLjNyU5nIaGMdUS2Tg1pSEkeCYmzLCtm28uc1jGUx6MSYUUfXkpJ0htWiMClF1hDrlSQi4nGhIcbApkquKSUoubufUsaCLPKECUy8GSpBKZULlZ04mja1L1mg5MfaF4E+FAOesV6fR/Ka1GHIcmtaWSd3J4W0xJHklfrK2JYYz0u5Y0OTOMun3BG3krzpyT46oo+FPzmoG/GfPjmorDNUcqLLyTrKKsruckmVdzv4XuWTnOhyVZb56FRK5Bt2tvqSmVrl6kbLC6xEkDFYctFQCUKl56iI9lsyGUsGEkuM9MKS0KdADT3JnvknM3FxKhiZQQghhBBCCCGEkL6CkxmEEEIIIYQQQgjpKygzIT2jKDpdw65ShGLFOKJU2W5MG0OdPGKxJBwptmXVXzduRm53mZSMFCpUXYbL+ZxNgHGkKnJZnADASyopSZ2uKDp8VoagdrTrjDxOpWXVt613yyct0aHSDcOJxK3PjxMKX3Iz6V4OiJSIxOJzwgAcmUJJVjIyNLasY1zH0jVDjyHie9Yac9pw5CeAkqBoqYrHEQWIczcJlYho55fQOqwxT/aHrsOSoETITPSypnA6ycTnEX1dSPlYoc5bKUExpB9+jw+1SqAEwipXkqA43WjUHyM5AeBYNWHsWOu+8jZq3cZHPw2rQ+hIRAzJifxuORZYcoAUrieOw0jpEULIR5QGxXcfk5ITQMkZDelEjORkPKpJUtbjP+Ot+lK0WfaBdiKLofQMJM4lS1IR7hoS52YSSgrHjTpcO1zHGP/9opdOjVWf/4ti6jsjjgcjMwghhBBCCCGEENJXcDKDEEIIIYQQQgghfQVlJqRnFHk1mYkZDl1xu1XJI0PCJnN2MNRxJVaCksLRxYcOu5X9mClNgZPFWoW7OhIUj7NJqZwlVRFhtzpEUbdL4gu7tWQmVh2tGmQl4W4m/tDM3FrPWSYWVDj9fNISHVItl5lh7EY3Wm4mlgTFcTqxnBlCiV1RXpNCVgIAxfBw93KKYmTYuwxSWiLrb7WdYrYERXxvumHajsNLjOQESu6Rx0k44EgW/csAv/NLJqw3sqYhYzHlLuJ6GvDXIXuqJSQngCuB0uYxHWcM1O4XY59L0g9ZZ+S1ZlTofjXcWLwb0KHkwbITa2Aa6++SnM6oX8pOfJITwB1HS/fCwI60JChmfc72hLxD1SfH2HbTLx+Jdehqivt1Rx/rQFI7jHQSPOf00vUE0Ndk3LZ9TiHJSFxn4Uhm1KYSy2SqSFVC5e+hv3UyLdsM2C4w/jN/LyXkdcHIDEIIIYQQQgghhPQVjMwgPaPI83FnAK0ZyrpnD2OjMULrmKyZwzoShaZIMBraDp2cTr4sLSXvzLq/UdAveq3ojsk6TvpNVSv4DVe9Le4Yb2k6YtPlBKDdk4OW3yCGvXmU0Rg6KEa+jVIvDaOSFpYSgFrLZPJRY1smoZEIBqUoAol8QySiL6qMqZlcT0YetFQ0x4CIDoiN2nDCZCr0jRONYbxBM5J8Ov2o+8fXX7oO+aWlokdanmgMffyMaBLZRufc1JEqTbf/HcSJXEoA6lQiItyMYqGRGFWuEVlnrtZsyl62Nm5FoIivA+IWlBcq8sAJf1H1j/iPkzvWZZ7/2/jeLIdGbMTS1GOj6AN1y3QSffqiNKxygJsQtCkSsMZGNvQ6IsJHiuSdFvo8iNnvUnJQKyGo59y1gt80CW533u2ZbTeSoJrbqnC9uturHnUem0TUfIYW2+sW3WE+O/QJjMwghBBCCCGEEEJIX8HJDEIIIYQQQgghhPQVlJmQnlF0OpWSetbh2dzL9XTYl5SgWLOISWQgTX+yTiuRZwr5SC8phQ2K+FdfMlDATQhakqrI9UR9OhIva3QPIdaEJkTTST7t9RpB5UIxE4DKZSraUoZp6mV1ouUhUlqiry2rTyz5iLU9iZsAVEhOIkNT3Q1rzYz4bgxJepz1JiJTCT/N8VmGp4p26KSh2ciYlCRagiIkJ0Wu+iAiOWhWSq4ZJskpyUdk/4SG5uo+FclTs/ag0cYwmYwzChl16OSgDTHWl65dKS0LVHNoQosGKkRK0jJHMhLcyECJW8s4x0bcr7lzy9TnhLxe5TK/hCM0YaFVLlaC4vaxki+Ic0kfi1wcC0tKEpwcNPeXi5WP1C33CMW614biJCaPTPIZipZYxMg7yoUn0KBxqJKg0yI8cWj1JJ91/7YxJSddnvlTmS1MJozMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZSZkN5RdCbkSFJHaNZE66si4ZAYwajJ0dmLrXC0FBKXFMgQv1LfOP9wQ1AdiYjH2QRwI9V1WKLPY72hY2sTEOtY4gvXLdVhyCNisLJ/62UydL3jyFFUfwc6JDgGF/4o7VIfZMYy37Y0Vi860hJZsII7RU+RYbGGBEJTjHgW6HFiYEw+UrQmLkFx5CeAe/FGSE7Ki4xlun88TieV7j9i35ws8wNKdtP2uJ4AwEB3CU1R4RyTh02P9fI0ltdxyVkqIqK7igIiWILi2J6oRgXLToxyUjpR6gNHrOYs64jj0XAGB38/aolIpfD9CawzHvJekqv2O05Tgfe0tpLyOPILj7OJrqNjnO6WrGQynU6mistKKHpI8Z1bqeQdE8Vqh35GcZ4XJ7H9oVKVmPqA8WUnRWfYu7xfYGQGIYQQQgghhBBC+gpOZhBCCCGEEEIIIaSvoMyE9Ix8ZBjZyFAS+UIKyUmeIGtw7LZLbfH8v47ZRi07mSxSnAc65FGGoMqQwrJjiQhdVc3wrVc2RBBylKyGsF6PY4n+7nwuuXyEhfxauG4mWkoSFtIpu1+HerrlVIh1YLfK7O56r+R+6l32yXAsdU7ZpUTunOWgURjLqktQCiWxyKTDiC7syCO6SyXWNUMsMyQnDlqqJtxNShKRUAlK2+8oIreXNbTbi2dMscZlvSywrDPWK6mKeR+QZRuN7v9X23L6QxN67hjnXKacTiC/O9I9JeEyJCgxWK5Bmga6jy+lcc1wOlFHzfN/oBDj0qDpdOKu2Wl0l6AMK32Eq5IJ60fLPSpWERnqSKWlMB3PiqH3LWtZM4/cGUUKF5HU7bCWWeVSXGsWofWHyjRCz2lNI0Ima20rhZSkioTL52Ci7w91S+jHk4+nlulPBozMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZSZkJ5R5J3RP8lkumZMFsFSGPW97tlHy40l5jj1+tjKMMJMhKrq8EIZKlhyOvE4opQy+ctocbWbvnBRS9oRKvvQZZueTPL6eyvRtiVWP/r6QGegd74nOF1KTidSUaTCVmWouhOGryJJS7IQiW+ZDnd16o9zNpHSkkpHTMsx1mNILEouH7kh/XC2JQ6ikpmESlCci2tEZVqX62nJnNy2NfZYYb2dQPmIWFYaz0PDhmUbjf7WriqZI2ea7t1W6DmnA6fl2ZI1xh4T89JZVxjL6kVKUnySEyDO6WSg9B+5nnLhkEqhppbhda+/LKczXFUcJdLEJSh1IGUteeD9KPRe1THr0I4o1cPlQ2UfVXAdV8LrqFP+kulzPfIk8UlL6pB3dMqCyQlhSmG0FLnovp92/emdSOquP2s0KTMhhBBCCCGEEEII6TWczCCEEEIIIYQQQkhfQZkJ6RlFnk9KOFPdoV9OuU5YOe0o4ss2rLcrA4V7KTnpxXoSnS09Bic00EjvruUjTuhkwy+jaIg668guboXkhpZrBYb1pkBHrbouJf5wVPm9pMwoun/WyF3RjghNTzj6ukpFuH4+EraxQImI6Viil2mJQQzS5UOPL6F1yPFGuZl45ReG20gx7NaRNdeMfWkPuvVLCYpYL5vmlstaQo6ipSqOzERIcgwHp9KYbe2bXM+S3UgJinlPEBIa654QeP8pnXOtiTudoDn2udFsu+UcFyE1jorPsdHzoUOUlLjood4Zmys4nfjQY327Jdez7n1j/ahlJs7dXOnwJst4I4UDRRWZSVu4xFjSzBipiq7TIoXsJFYu4pMzVHHQmCqEOp30EqsfY5/h6v5NI+uPdWC0aKCLpLQPYWQGIYQQQgghhBBC+gpOZhBCCCGEEEIIIaSvoMyE9Iy86HQPlxX/a/SZs0morCR2PS3ZcELOVFnfzGQqRxGfFCaWFFKSUHTIrONYkqvM8sLBJDNCJV3VgF+qkoJSOG3Wve90aG1oSG5ouSpI2Yn7WWf8l44ISoIiPzuLIs8dFU7vSEvk+W2F3Y9TZ1A5FdbpbM/R1vQ2/NMMNxUyEDkWlNdR7iOChpCFFMNuuWxASEaEBKVQbiaZWOasA1eCIt1SKoXROvtmSFCM/7uSnDCnkyLXlkhhMhZLFuNcJaa7jl8iYl1pDeF0ou8JMtS+7qHeqt+RoGjBlcfpJFfjq1SFtKxXgOqJOi+EdMJxPXHLdcSxaGjHJflVqlEMN4pYiYiFHrdD0PepGOlk6Z5myFhi0JIQSyJSt1zCJ4MwpbBTRMJhPQPVIe+oG1/765CVFNY9J3C9WDp5B53O0PgFpziMzCCEEEIIIYQQQkhfwckMQgghhBBCCCGE9BWUmdTMc889h3/6p3/CokWL8Nxzz2HatGmYPXs2TjjhBHzmM5/BRhttFF33xRdfjEsuuSSo7H/8x3/goIMOMsu88sor+Kd/+icsXLgQzz77LIqiwI477ohjjz0Wf/3Xf40tt9wyuq0AkI8MIxsZMiUKocHAsXIUKxvwZDitdMOSoMQ4naTar8mSlmQ1xChbIZCZZ4q3FEYp5RElc4qxZR3P54kQIxGJlZmEYrmUuJ/96+n+KTxtKdfhb5eMdM70gRLbdqQeUn4CmBIRZ1sxkhPVDktaEly/uladcaMR9g5Dj0OOxG14RJRTEgujf/LG2HpZ021HY0RIFoQERbuZuI4rrsykaIn1hATFcUABHKcTE0ueEjqu5rofw6QqjlxH1yH7R8o0DUlLNjhj/LZ2Qba3ysjQlOecOL31OBE7IvraoutzlCRqrUy0RY57Wu4Wuud6HJomHTqcMVA5bfi0JFgnz+1Wv3ZtMVQnqtzUDOuPuqcVellDfC7UsrGyofdhfc9PIemIkVVMFTcQTaycSfbBlN23xNKSWClJHrjeRNq4IbiZcDKjRhYtWoSTTjoJr7322uj/Vq1ahSVLlmDJkiWYP38+7rjjDuy0006T2Mp1LFmyBMcccwxeeukl5/+PP/44Hn/8ccyfPx+33nor9txzz0lqISGEEEIIIYQQsg5OZtTEY489hhNOOAGrVq3CxhtvjPPOOw9z587F6tWrcdNNN+HrX/86nn76aRxxxBFYsmQJNt544wlt74knnjCX77jjjt5lL7zwAo466igsW7YMrVYL//t//28ceeSRAIDbb78dV155JV588UUceeSRePTRR/GOd7xjQm0lhBBCCCGEEEImAiczauKss87CqlWr0Gq1cNddd2HfffcdXXbwwQfjPe95D84991w89dRTuPLKK3HhhRdOaHu77rpr9Lp/93d/h2XLlgEAbrzxRhx//PGjyw444ADsueeeOOGEE7Bs2TJccMEF+MY3vhG3oU4n2v1D049BUaFhYE5IeKDkpFS/IUdJTSq3FLfOiUtLZPhibH2OHKXhDznNdPZ7QzoRg8+9BHCzvdchM3GWGe2wsKQ2UqXQ0XIdjyNKOVQ3gbuJlJZ0XJmJ6zZiSER8dY+Dt34td6k5HDQTYdrWWSulJVJyUlqmxq9G0z9WNNpjjyONgbE6GyNupvVseOx7Nm26u6wlpRnCEcVyTkkwfpXG6RgJSoUQYtepRcgQdDkpQVF1Zkq9Y2x87KOuQ56rTf8Zk0ntnhpDUjtv6JFA1l66DXikB6VxToz9urnSDGugoe8DY58HDRuUjkeSBwADjhxrrL+1Z5DlbhIqLanbGSP5/SgPv9+lxpKLpJZOmG4gpduRxxGlx3IOR6ZhuLH41hmP1O56oc/JupwjHzGkmXXgq7/y76xEv8smEyYArYElS5bg3nvvBQCcdtppzkTGes4++2zMmTMHAPDlL38Zw8N+O7s6WbZsGW644QYAwGGHHeZMZKzn+OOPx2GHHQYAuP7660cnPgghhBBCCCGEkMmAkxk1sHDhwtHPp556atcyjUYDJ598MgBgxYoVo5Mfvea2225D539m5XxtBYB58+YBADqdDm677bZeNI0QQgghhBBCCOkKZSY1cP/99wMAZsyYgT322MNb7sADDxz9/MADD+CQQw6pvW2a9W3V7dHotn7605+uvK2i6IwbdiXDozIjJHmqoNuYQkZjhc+Fyk5yI7w4lDrkI/5t+UNCtYQjRZ2SkkuJCF3NMyElKZUTYZQNY5khsRgR35XfgkloOG1ouG671Qgq1zCOhbVMEup6AiiTD+mIoOp0sqMXeplxbnnkHSXXEHlNWk4nFhHlSu3wua9UQV7XSSQWbjs6IspQL9OSFIl0MGkKGYiUnwBAQ9TRHFERjcL5pBDLsrbhiKKdX+SYrl1PImQ+pUzxHmmJmVHeqsM6hmI9XXsm7iWN6eq+Is+tAX+75KVmXv2ijY2Geuw0xo0UEhRZu+V0YgwTTi2FcUMt1BbUmTv6qaPqGGz53Z7kkevkcix2SzUzqw4/oaH9oW4psccs9J4mZZUd414Vup5eR96jdd+EunAkcT0JvV3o+6nn2WOqEuoaUpeTR1WmiuuhxvptMO7vrmJq7lMVGJlRA08++SQAYPbs2Wi1/PNFu+yyS2mdWA455BBsueWWaLfb2HrrrXHQQQfh0ksvxYoVK4Lautlmm2Gbbbbxltt2222x6aabJmkrIYQQQgghhBAyETiZkZg1a9Zg+fLlAIDtttvOLLv55ptjxox13u/PP//8hLZ7991343e/+x2Gh4fx8ssvY/HixTjvvPOw00474dZbb/Wut36747UVALbffvskbSWEEEIIIYQQQiYCZSaJeeONN0Y/h9itzpgxAytXrsSbb74Ztb3ddtsNxx57LPbee2/MmjULw8PDePrpp/Htb38bd911F1599VV89KMfxfe//30cfvjh3vaGthVAdFuLPJ+UEK1eyiVSU8piH+h0ItHRitYMZpbYBcXq+xTSksYUyViuw0pzz7Kyk0eY60loNvoqbiY+aUmpDnEsmjrJf4L+l/um9zMXYdvyPNbSEbksSWStivF1pCWGzMSUfsQ4kZQ0M4arinW9ho6BolxJQuc0w+9YYjmd5Nquxtn02PmYDwk3k2H3MUVKULSMpSGkJQ0pLdF9I9xA0Gr7l5Ub2f3/un7rWPikJYHrAEDhSIWMOsw6/RKUmLdclr9QIUR0JUMRITsp1LjfEKVTS07WtUssE9tuqL2R3/QYKPUe1gO1vJe0W9rRZazHpxmXqpR65Co0PJdyQNVVjluKeZ/xb9vZVuCx0ON5jLOXdU+zyjaVRKypOyUhJTlKpEQkxbZDmUwJik9aMlWkJBYTkXP0iirtKPKOLXHsEziZkZg1a9aMfm63x1fBT5s2DQCwevXqyts666yzcPHFF5f+v88+++Dkk0/G1Vdfjb/4i79Ap9PB6aefjmeeeQbTp7tWduvbW3dbCSGEEEIIIYSQVFBmkpjBwbG3QUNDQ+OWX7t2LQCUJhlCmDlzprn8jDPOwOmnnw4AePHFF3HLLbeUyqxvb91tJYQQQgghhBBCUsHIjMRssskmo59D5BgrV64EECbziOGMM87A/PnzAQCLFy/GSSed5CzfZJNNsGrVqp62te5QrFJ49BQJ/UpBrNOJRAaU6dnM0L6aTKcZS9oQ6mBiIUMgZdiqDsvMRdhquR/F58IvJbFkJjEhuRahEpSmDvWW4ddVJCiRLjQSr5tJKXzZ7zYgy5pnbe4cNNUQv7wj6wgphdNgf+hmtBOJ0Q5TsuC7riMleJl2+ZDtkDIT7WYy5Hcz6Yj2y/qzNSpcXLibNIddN5PW4LSxZWLbjRF3sl66m2QDyhHFkKBkjbDxMVg+YiHDr/XY7nH9KozjqUOJHTcTvWlRtjEjpLFdtie35fxf9an8YjidNKClGWllJ3Joy9W2mnJv9D1GSgrVmCfVcELVV5LCTRMLS1I7UcmwqG+g6R61jhgPpLOJbleuJDQ+aUmV/g2VQaamdE/Lu9/T9PdQl69CO52IznKlEm67LPlIGqeTsDocKewkHSPdjmrrGWPgFCFUGjOZv0M2pN9APhiZkZjBwUFstdVWAIClS5eaZVesWDE6QbA+uWZq3vve945+fuGFF0rL1yf+HK+twFjiz7raSgghhBBCCCGEhMDJjBqYM2cOAOCZZ57ByIj/TdRTTz1VWic14yUYWj/Z8dprr+E3v/mNt9xLL72E119/HUB9bSWEEEIIIYQQQkKgzKQG9t9/f9x///1YuXIlHn30Ueyzzz5dyy1evHj083777VdLW372s5+Nfp41a1Zp+f77749vfetbo+35+Mc/3rWeFG1dlzV36oQ79VoqkdopxHI6sco5aKmKUTbUSSXGPcZyL4mVlaSQnEh0eGjmhJmqbOaN7st0OSklGUkQflrFzcQnLRlQ5RrREhR/u3zoUFj5XYZb69DowlMOUC4cmZq/F9/NFkrHko6aoJbSLxlvrF1PPOtUwcw6niIk13HJcK/jmOtau43I9peWeZxOMhVOLx1SOkq2ImUszaEx+Uhr+jSnXFPKKEaUzGSadEFRbZLymhQuWfI80I4l8hgax905J7QMJjfqEMt07Znn/MymK6mKt1WqjcY6ltOJIzsxnE4kKcLpS0oSsa1M1S/vXdoxw5HGSYmI2oAsN9hS57tYOE1o6DrD7rGQ422ux3CpkrGkE0bfWVKSUElkajeTllo25CmnkeuNny1uYpSdTqpLRCptz3OcSs8ohhvbZKGfP2OcQ2KfrUPvb1WdQkL+L7/nxrI6fj9Ntd9lsTAyowaOPfbY0c/XXXdd1zJ5nuP6668HsC6R59y5c2tpy9VXXz36+cADDywtP/roo9H4nwc0X1sBYMGCBQCARqOBo48+Om0jCSGEEEIIIYSQCnAyowb23ntvHHDAAQCAa6+9Fg899FCpzBVXXIEnn3wSAPC5z30OAwOut/2CBQuQZRmyLOtqv/rEE0/gmWeeMdtx9dVX49prrwUAbLPNNjjuuONKZbbZZpvRpKB33nknvve975XKfPe738Wdd94JAPjUpz6FbbbZxtwuIYQQQgghhBBSJ5SZ1MRVV12F/fbbD6tXr8ahhx6K888/H3PnzsXq1atx00034ZprrgEA7Lzzzjj77LMr1//oo4/i9NNPx9y5c3H44Ydjt912w5ZbbomRkRE89dRTuOGGG/Dv//7vAIBms4mrr74aM2Z0T0v+hS98AT/84Q/x8ssv48QTT8SPfvQjHHnkkQCA22+/HVdccQUA4G1vexs+//nPx3QHgHXhsGaYdA8IlkpMoltHLL5QMWtfdEibNbsZWr8ta5n4kBMjLUnhrGFhhYTmRjin7WaSi88qc32CcF1JqGOJ7seBpn9Zij6XygPpUqIjaeWoovMEObIT7cIhZSdyWYWoS5+0pNDyBUNSEIMpJcm1vCNBGKkYO6X0o6Guf2tLUkrSGR7xLgsdm5sD7ngiJShN8TlX22pJOcqg667RlLKhljqGA92dTix3F02Se6DveJZClMW2dJ9a54RHgqL3MvN8ttAjVwqnkxRGDW47/NiKOSUfkQ4mTv3uFuSeaSeVAXFudRry/2qca0pHFC1BGSurzmhXniKq1LKS1FKSOty7HOlkoeUpDfG5u2OZ/m4IBU1yS4JqPStEnMi1y1ZqlqCE3pssaUZMfanWm8z6Y+SkG4KkpBuczKiJ973vfbj55pvxyU9+Eq+//jrOP//8Upmdd94ZixYtcuxcq9DpdHD33Xfj7rvv9pbZcsstce2115rSkO233x7f//73ceyxx+I3v/kNLrvsMlx22WVOmW222QYLFy4cdT8hhBBCCCGEEEImC05m1MhRRx2Fxx9/HFdddRUWLVqEpUuXot1uY/bs2Tj++ONx5plnYqONNoqq+8Mf/vCohOXHP/4xli1bhldeeQVFUWCLLbbA7rvvjj/5kz/BvHnzsOmmm45b3z777IMnnngCV111FRYuXIhnn30WALDjjjvimGOOwVlnnYUtt9wyqq2EEEIIIYQQQkhKsmI8705CJsDSpUux/fbbAwA23vezaAyOP7ESghXWa2Uljl1WN6lDv8z9FGHaupz83my1vcvk54Yu1zSWyfVEOGdDORaEOphYkhNL5mDV0XCWiXVUfU2Rdb6p2+9Z1mq75VoDY/0xve0ei00GW2KZO+88Xay3Udtfx3RjWVu0S2bXH9D7Ip1Omn4piVrk1NMw3FJknTqT/zRxLsllLXV6D4pttVVDphn1NztrRz9nw6vHPg+tdsplI2tEubXuss5YPvxCLhtx8+Sb7hQ1uBu59QsJx4hsrxt0Xgyt6foZAIrVK0c/d1avGv08stItN7JmrA+G1bLOmiFRzu2fXLTF52yi0U4nDSEDkRIULSVpTW/7lw1O8y5rThOuKK2xbZWkfDH3Eh1GLY9NYIi1RemeIMdz6eACIJP7NjgmT82mu1LVhrEM08a+FwNj/Va03G0VLdmnbn8XTfFdO28J2UlhSE6iQveNZTrqXsoj9HpymTQf0c5Vw+L7kLJqkmVXDY8d97Uj7jUil61Ry9aK60mvNyyWyXZYMhNLEpJaZjKk2ivL6WVy34bUGCLLrhYyM90fq4c6XdcBgI74nkvJ3IjaFymZs1xEinAJSkw5iSUX0T8DHeWk0X5rP319pevM5f3IcDOxZCZ1O36kxmpjFTcTq39C6wCAfM3reOPBfwYAPP/8830Zgc8EoIQQQgghhBBCCOkrOJlBCCGEEEIIIYSQvoI5M0jP6YcwME3dEhTHZSVxyLnVdr2t0HZY5WTItVW/0w7tQCGiEput8DlXn7RES0kseUoMOlw0kyGXYpetkFMr7La0LIE60OdgUsWxREpGdFZ4n7SklD0+0PUkd4K43XVk/+cqi33hKbdu21JH5GiKgtq0bgMyJleEc+pM48LdRDudJB8TrZBTQ75gIqR9Ut6hpR6xOE4nIgzccv/QcsOGWC8X0iztnCLdTVoqBNp1VfEva7TH+rHRcq3VTQmKh5jM9EC4O4oulzXC3EwspqLTSQH/OGRJTmJHVDmc6Uh+KU2UDholKYyoQ8vwZFkpk9P7MpBLNxNVvxwfVf0dMV5Kg5Qq95hQCYpvnSrLLBw3kzzzLxOfW4abib5XxVyh+p4vj0Wo00mso0hoFgFlfhPlxhLrlmK3q7rMxKpjqqKlJb1kKrhMpoCRGYQQQgghhBBCCOkrOJlBCCGEEEIIIYSQvoKTGYQQQgghhBBCCOkrmDOD9CUpdHA6f4OVZyI0B0UKUufP0EhtttZzy+1pFV3DU86qv7RMrteIG34yI7+Dr5xp4VrKpxHVLC+ublXlejC0xiPOMm1P1/CUm7huVVusWvarTSvXhkd7rDXhTu6OwFwVWgpcOMu0RjnrWg4ACnGwM1/+DP09NJ+Gzovh5MxwbUkd61Qrd4Jz/VQYhzzXq87d4ZQLHHt0zowU+TSK3MpbIY+i20b5rSHyYjQH3JwZjqWdtg2UeTdUro2WWK85LGxgB906GtZxkt9lzo8EuuVQS1tdNsuN9gdi3S+C82eo684ZOfUyeR0K0X/p3p1eyh+MHOpkO3QuBtl3hRqlmoUsJ8dRtz8GRMKLjqp/2JMfCXBzS+SZyK2R6XwRYfmdQv5fZVnotqrQdPouV8vCnhVSPJqV8mn48lFYuV4ihw3TqrWG/Be9Qj+bTmY+ihj6IcfHVISRGYQQQgghhBBCCOkrOJlBCCGEEEIIIYSQvoIyEzKliA2xqluaEWNZmnq74207BWb9gX3gSHIsGUs+tqxk6yf0DDrk0ZKMxEhLLFlJZoTnxqBDO+XhrWTN6llWpY4YBpRswGe/CvilJZb1q7ZplZtrBBo86qhbGaKro/BbLXFOS9lT0701ZiPWSRL2TsCxkhtW8g4hOzFt0kKvf2scsq5dLTtx1pOh/P59lssahgQllEL5THaGxRiiPSgFDVluQMlRhv1SkqaxLBcnUGtwzCpUyzuaYlmjrc4lYYlat2SxiuxEkkPYzkZu22fb2jDOHetaKtR6waNxQ95n/JbOFimi7uW9JFNSErlnpTFQWr9KC1el+ZtWSGtWv22r3mdp1SptWmN3OvSeEyszCd12KJasRC+To4H7rKG2m0KC4li4+suF2rZWkY5YZS1r2alOP0o4+rHNkwEjMwghhBBCCCGEENJXcDKDEEIIIYQQQgghfQVlJmTSSRFGFSr9SB2y1WvXk9R1aucELQuRyKzQTqZ6ow/qcDZxQhu1vYaHKo4lPmmJlq2EuqpYWFnKU8tMNLnhsiKxulgu0yG5PmmJDo9uGst8/Vqlu2WEru4OtwtEpdo5wZKgdAxphtMQv1OIIy2xJCex45dv3LAkJ8ND/mURkhP9PVRykmu3ESEtsZxO5JLOkLufzeGx/sj1MsfNRDnSiO1J15OSI4rH9QQAGgNj54+UoFj9qDGlSBHr6GVZp3tb9H/l+G613mptY4bccIU+kF+kK5EuKJYVoVK1mqPn9V7KsVPLBuRlIvtxoHBrkYdsQMke5PdcXXfDYnvS2USPvU2POxUQfj/yrWOVteoYqeFAWfvpSEty/7kknxsKLWMxpHE+aUms80isDMSSX8k65WfdRuvZJjWufFnfWwOfQfsA0+lMluuz/UoBIzMIIYQQQgghhBDSV3AygxBCCCGEEEIIIX0FZSZkyqLDxUJpRDqAuHIUf2CsJVsJXbYhUSWMT8pYfM4mgM4OPnEXEYtMhdOmcC2JQYeEyvBaHU7bEeenzFxfLmdIUCLCQHXosfyuu80nLdHZ+uWyUmizdACIPCxyN/Uey3DahpCSZDrc3ZKgyO+h17i+ZqS0RDiKlKQeEfICEy1tsKQII91lJ3qsbIhrXI8MUlqiXS3kslDJRWdIy0zC+keu12xrCYqQyeX++ltimS43YCxrdrovk/ITIFyGE+tYElqHJaeRZ3u+eqWzzNf60pak+411/QRekwXaqthY+xtazijqCB0P6w6fL0lQRBulsqGTKSmJGEcHlARCfs8LtUxKXMTnYTXe5rEDsCBGEmlJSUz5ZQ3HScpO5Kihnxksl6UU+KQeQLhDj6++lGWnGuazaqSEYzKf69+KchIfjMwghBBCCCGEEEJIX8HJDEIIIYQQQgghhPQVnMwghBBCCCGEEEJIX8GcGWSDw8q10Uhs01rFmrVu29bUWP0jdc96RtTKGyJ1iWY5qfFV2mDHxk7pQ5ue/BpluXV3+9Xyen5rVpnfwbJtjSW1Natp0+rY3Ya30bGxK1n5oesyy35V1yG/+uoD4rOq+OwdC62tN/NpdM/1UMRe4/JaGFHWoHlYPgdNaP4Fp/1W/gwrx4K8xo3t6mW+PBkNVa4zbGxbasmlTWtH5/UYq7OjkgM0RT4NrX2XNq6uTavfwlVavQLAwIzBsXZIC1fdRpFDI/T4VcE6hnKZ/Jzl/nbos70YWhPWDnGd6Ba5tq3qKpfXoe8zVE6bTJ9zY9uWtxk9fFtpAlKkEHDSf5TGNpHXxzMeAkAhcmEMqGtpsCWuBdXeAfEPadM6oK874RWqLUtDse5HvtwYlexdi7B7YQrkc4N+VMqMZ4NSIqEAdJ4KxxK18C+rUmcoPptYnUvGtG2dIrke5PNobJumyr681WFkBiGEEEIIIYQQQvoKTmYQQgghhBBCCCGkr6DMhGwQOPKFpj+825SgiM+WRMSi32xbrb6KJVRqY5WTYYmuTasbvphCzqHxSUu0baglQXHKJba0099jZSbOMnHyx7rK6f6Roc6x9qsy0rkBWYd/2yXZk9H9sksKeTy1lKThl6A415A8j7VswrjGpaTDCn3Nh0e6fl63XphFZ4zkRLcxZrvjbVv2o5SB5M3w68cnLcmVhWsuBA2Zqr8jpCSdYdX/Ypmsv6WPheirgY5fDiQlJ5aFa6OtzrlA61oLeSxCj6Eul2PEU9JQq+mxXnzXe1WIc8K6Jp11tJTEkZn4pSqNCJvW0raj1gpHtr6hxHWZ0MloKd9wLiUofmtWn00r4Fq1apmJIzeU9qWRUoZYS/Hwe2Fai+vy/d/fRnmepWiFJRexpB7B9YdaFvexZWs3NiT5yIa0Lz4YmUEIIYQQQgghhJC+gpMZhBBCCCGEEEII6SsoMyEbHDJM20JLLKQEpYpDh7f+GtxM6pCF1InVV044fSON7CZGgmI5kcQ6llgOKalxwmcLf2jt0Igb1Cq/t2VYv64jQfSo5VjSNKLAZVnZpbp3LTeAKHQdUlqir2vHzUQ6ULjlnDGkoZd1dxHR0gNHZqJcMvKO3+nEhyVXaASONbkab13JTLjDivxuyVEagbITy83ECYl2jUic61rLU9w6xXU37JeS6D5oeY6vlJzo9fSDmq+vUshPNKESlCjJSakOhdifhr5mpPuQvAa1m4nsk5IEZazNWXNg7HOFMc8q6sjYIqUrssWFHEeV/FL2nXQ2AVzJX9501xsQDjU+ZxPAdTfRy2LcTbR7iVc6adzTNKHuXaH1xSJPs4Y6FrlTTj1TCDlQYZxZ+h4t8UlLqpx/MZIRS8ZSdqvrLqUMfXbvNZMp04h5Fn4ryEo0jMwghBBCCCGEEEJIX8HJDEIIIYQQQgghhPQVlJmQSSdGwpECHdImw8K164nP6aRKe61wsRQSlNSEtsPqK6tOX6hheZkK0xQxwJkObazgfJASLSvJHHmKv1wsI57M7J3c7f21UkrScpf5Qnl1WK8MabXCWzXatWQ9JUMBmSVfLWx4loXKUYDwGXtn17RzQuYPVZcSFMfppNV2q2iNhbFbziY+lwbADfnX8g7L6SQGLVkIdUFxJBa5X35hbtuQnDgyMHW9a2cSH1IiUkUKI+UqluuJKzMpjGX+bTcH295ljYGx86zZHvCWqxur/UVDnKsjY1qe0lnU8LgBwXUz0dIsWTazrs9h/zKfPKWRqXZAjo/wom9HvtB+3WuRChQH6W6SKZ2MdDcZzrUEpbubiXY9Gc78y4Y8biZV5Cfe+1EFhy63nP/cDJWqWDgSkQqPrbHrheKTlljSkWink8Dn3w1Z9hAq6ST1wsgMQgghhBBCCCGE9BWczCCEEEIIIYQQQkhfwckMQgghhBBCCCGE9BXMmUGmLNqKTedmSI3MoRFq22rZr1bBl0siRf6MqZKDA/Dvm85fIq1a81zbWPp1oHmjez4NnXcjC+wSqW/VNmoy/4W2A/XlyShZsSWwEQ3XEIdpj7V+Njfqd74bfSp3s5zTwp/voulYusr6/Paueobe0XDrbTt1lprdlaJk79jdW9bJkQFX858N+JeFYtm2dpRtq5XHQmJZe4Zap/q22+17SDt0mxpOO/zXZGi7dE6L3Pmu+nhorH5px1rOi1F4l+VO3hNZhzsGDlj2riKfhjyeTXVexRwzjVwv9PjpdmkbYUlj7RrxRd1PpaWoPg9E2YZhv+p8H2n6l8m8OzpXSreGr1/NWOarQ+fIsFIWxCjy9WUgx7YB1Y/DIr+GtF8dUI1ybVvdDUhr76GGkQcmImeUfd8Kz4vhuzdqi9hQHBt4netJ2jsbSVasZwprvRQ4uTUqPLfGPONa60xVO1Yf1v0zRW6Q8m8K5uQIgZEZhBBCCCGEEEII6Ss4mUEIIYQQQgghhJC+gjIT0jOKIu8bi6ZQ21Y9G2jbr4aGWBt1GFKY0DpiSV2nJaexbVtFKKayoMsCZQ8p8NmvAn5piRWOqkNOU2BJUHzLdHSr/F7FmtUt6983y5rVJy3REfPyqw5llt9KciBvq1wcC0cVpu3ITppjt9RsRMlRBvzWrFKSkg2MSQiyoTXwoUP+HfnCsF9m0gm0bW0klpxoQiULpZB/cVKUbFsNCYoPHc7tyCNKy7qHgZvHorSsu0yuZGMrvg8YfWU9xDWR1rZV93eozaxvHQAoRobGvqz1yztKslPH0rXhLecMMIHWrLpcozHWj/p0D5UDhA6dPjvX8XCGNlWFlPI1G0o+4ti2iv+rcdS1bfVLVaQFuL7nDAmr8Ja2dxWfQy1Xq8gqRyLkmKE2rdYxi5WSuqejem4Q41BHH2wPWj5qSj8il3nXMaQkodsqPwdOjd8SqfsqlqkkJ58MGJlBCCGEEEIIIYSQvoKTGYQQQgghhBBCCOkrKDMhb1l0CFiMvEM7rFizg6FhYFZoWupQshT1lcJ6IygdC0NCI8Mls4Y/xLIwHDpkCKd2RPHJPSynBL3MJy2xyml5RNNYFkpHhL/qrO0yhFaG/7ZbKiy+EGHDqruHZR9Hhkdbu+aTlmg5iqxDqwsyjyPKuvXEcZLtLypkEPeEpxcNdXttCfmIdjoRy6QERV+flqTDCvmX0pJ8aHisnOUGoL77nE70tSrbaElVci2rCHRckTS0m4n4LuUpWqri9qMhA1EnfMfjdNIZdttReKQkpWUdv6QlFFlHK297y2Udtw+a7YlLUGJcbXL4ZU7NxrD6h3C8WrPSXSbdsORnfT661lLeZdI5BerabYjv+syUY48+gr5DqtULUqag65fDkjXGykWWsqFRkvJ1l48MKwmn7XQipSph9zSNsywyOl/e06z7XazMJFR2YiHv+Q3lCpPat0KPPf5y4RKOUPeR1K4n/UCK9lepw+eCWHmbVZ53piiMzCCEEEIIIYQQQkhfwckMQgghhBBCCCGE9BWczCCEEEIIIYQQQkhfwZwZpG+QuRl0rgqp2w7V9GlCc1VY9qiWbWsowbk1DPvYFPVrUuTGCEXuW9GokNtE5nAQ+TSyknZ04jao2o7VWebJk6HzcVh5MSx9cStFPg2fNavqq2Ghd5/Wcndaarg7Ss8tv4em09Bab7lrDc//ATcXhmXNWlpWyHNEaPlVgzNLU+qzflQniMw5kbXc3AbStlXm0yh0zgxZh5kHwqXw2LZalqIWOgeFrx2lNho5NEJx6tfHU5wIzQGR62XIyq3hLuuItA3l/ul+Ius6hkS5zrA7fvlycui8PpKSnamTJyPwmA34H/dS5M+IxTk3R9ycGc49R4/7wrZY5skoVD4aOPlo3D7IGsIQdKTpLSev8WZrmrPIOSUCBzpt5Zk7y9yycox1MrYYm9J1mLatnrxEA+qclrkwdN4NmWtjQNx3hxruuSltW2WeJo0cp1PZr4be76z6rTxcEmuZhZNrKzcOWmJKOTMirFTrzhfR7/k09G+WFMTcTTdUC1dGZhBCCCGEEEIIIaSv4GQGIYQQQgghhBBC+grKTEjPKPLOlAoV0+FWoSFuPskJEG/bGkMd4WIppCSp22XZhhXa2iyTsgERmqmaJFUDubKgiwvd80s9Yu1XYyUoPmLDbmUY9bC2qmwW3mV5q7tta16oYxYsQfFbrDp9pUKgHRWIlqfJE8H3udv3ELRmpimkJAMqFF7asbb85RrtsVt2FcmGI9vqSEtR1yYzHxorZ0lOGo6UREs9pAzEbaMlT/ERKn0pbdtqowznNuxdrS1LiUinJD+RNrlKmuW1ZvVvTctMYqjysOeTnYRasQJum2MsXAGgGBEyEH2+O9asY8tyfc6JciWrYMe2dayHnO3CtXDNlASlKe1d1SWfyzEgUIKi7Vd90pKSHMWQIoTK/BzJScnCdezzgLr/jHissdtKluhagLvL1krZSQJr1tj7nWVnKuUjUipkraMlRTFoS/dCjl/qpJNlC7mstJ9xFquTJTOpY3t1EyotCZXGW7J2i8Y4Fq790JfjwcgMQgghhBBCCCGE9BWczCCEEEIIIYQQQkhfwckMQgghhBBCCCGE9BXMmUE2OLSuLNaqNQbLtrWX+HJ8pCK0zrptoLQFWtbormPVmla5nrZYddbL4vSuWuO6nti8GC0jR0Yzgd2lRGuI3XwXyrY1N5bJnALyNKhwSkjZtuyCTOfF8KwDuHkyHPtVwBWTi7wYpXLie9Yx6pCY+nxluSrtWKWVpLZwFXXqvAYNwxJVInMzyBwZgGsjqm1IfXkb9LZkzgmdSyY014ZFaP4I2Y5mW2mNh/z5HCz7W4jx3bIldra11l3W9Ni7Fp7/T2SZhXz40/sZk+9CE7ue0w5hO5sp21ZIO9Yh/7Ulr6dC5aDJRB4bac2aqZuCzMlRypkxMDj6WR+KhszhZIxf4ZauY591jgxnWQ1Onq6Fq9v+ljjWA2Ljw6ohljVry8h7FENozgzr2cDKd2HZtFoplqz8Gv1GaivV2NwNuZNHbernf4j9TVJHbo0UefKmAozMIIQQQgghhBBCSF/ByYyaee6553DOOedgzpw5mDFjBrbYYgvsvffeuPzyy7Fq1aoJ1f3666/jpptuwqc//Wm8//3vx8yZM9Fut/G2t70NBx10EC6//HK8+uqr49azww47IMuycf922GGHCbWXEEIIIYQQQghJAWUmNbJo0SKcdNJJeO2110b/t2rVKixZsgRLlizB/Pnzcccdd2CnnXaqXPcPfvADHHfccVi7dm1p2fLly7F48WIsXrwYl19+Of71X/8Vc+fOndC+pCDPO0De6XlYkwy5ssK0snHsi7ots2QUelsy8rDuWcQUEpc6pCQpZCcxEhotgXBsW6FszzyWriVJS2AorGWjaslMWsaydqvZdVlJqmKEBofSMcLpZb/qkOKOR56i65D2cTqq16vgyPR3IW3Q9qtSMmJZs8pyOk44T2zbqmUm0pq12d2mdd33sZD5xoBrH9kY8Nu2ho4HUlqiJSg+S1GNlBc0SlKSrGs5AGgOdB8VtZ1rFavW0Tq03KUt2jjst2bVUphQpNxAn+9NIeUpnD5V11bHHwrfS5robtMK2Da8qSndk+X9VUpQlBylGFoz+tmybZXWrFnDvbakBAVKZiLrGGi4fSVlCrL1VYLMfYe+ZM0aadvqo6GtWcU11Mj1fab7etrCdci8p40dG2nTGnvf0vikJSWJSKDlqiNH0beEwl//VMF63i0M2Ya1zFculFCr0Srb6gfZiSS2vc7xtH7ndJGgxPb7VIKTGTXx2GOP4YQTTsCqVauw8cYb47zzzsPcuXOxevVq3HTTTfj617+Op59+GkcccQSWLFmCjTfeuFL9r7zyCtauXYtGo4FDDjkEf/Inf4Ldd98dM2fOxNKlS/Htb38bN998M5YtW4YjjzwSDz74IP7wD//QrPOYY47B5z//ee/ydrvtXUYIIYQQQgghhPQKTmbUxFlnnYVVq1ah1Wrhrrvuwr777ju67OCDD8Z73vMenHvuuXjqqadw5ZVX4sILL6xU/8DAAM444wycf/75eOc73+kse9/73oejjjoK++23H/76r/8aq1atwtlnn4177rnHrHPmzJnYddddK7WDEEIIIYQQQgjpNZzMqIElS5bg3nvvBQCcdtppzkTGes4++2xcd911ePLJJ/HlL38Z5513HgYG/OGcmo9//OP4+Mc/bpb5q7/6K1x//fX40Y9+hHvvvRevvPIKttxyy0r7UgehIU2TmWVXyxdSh6rpPkgRoFu3c0jMtqxyqSUn676PhaTmMpO8DiXN/CGicj0pj9B1SAlKKRzVs2tWyKx2LAl1OgktZ+HL9K6/65DZ3FhPupkMC5nGtELJBiD7W7csrP2OU0CuD6jlZiLKCpeSzJKSmDIW+dmQYqhw90LKScTnksxE3CMabRXuLmUm2qHDkX6MfdajmpSPdEpOJ8IFJdhRRLdDhKqrczNvN7uWq+KKEe50IlxhBlTYrThvtfOITxaipSSWu4krQRlrb3uVkkdEyGlS4ZOMaMlJ6LFJ4WxSIvdckyOuRKQY7n5tAUCxdkyC0pDLtMWVkJYUqn65rKGdTuTYbEiPQg1prLEy3OnELxUMRauvHKcTKTkx7kdSVgK47ib2PU2uF3eNWI4lMS4luo7cI2kp1R/R94DrEqUlP4VYluX+8dYaXkIl1852jXKhz/wpnrNNyUkPnQ2rUPd+j8sk3mtSwQSgNbBw4cLRz6eeemrXMo1GAyeffDIAYMWKFaOTH6k56KCDAAB5nuNXv/pVLdsghBBCCCGEEEJ6CSczauD+++8HAMyYMQN77LGHt9yBBx44+vmBBx6opS0yQWij5gRdhBBCCCGEEEJIL+Cv2xp48sknAQCzZ89Gq+VX8uyyyy6ldVKzePFiAECr1cLs2bPNsvfddx/+4A/+ADNmzMBGG22EHXfcER//+MexcOHCUhgdIYQQQgghhBAyWTBnRmLWrFmD5cuXAwC22247s+zmm2+OGTNmYOXKlXj++eeTt2XRokV4/PHHAQCHHXYYNt10U7O8lqE8++yzePbZZ/Gd73wH++23H26++Wa84x3viG9QJ++qWfPZBtZhFxRq01paL0V+B7G9FNappfoj+iuFrWqv6wjFtFizLFfFFK/PplXXr3M7hNqxhea7kFas1npNw06vSk4OH1rb3QnUYktJ5rCqRLZLpdNwdOHBDndK2Ozkv9CiZ5knw7Fm1Va+hm2r+O5uK1YPLcYofV1Ia1al/2+2B8Rnpd0X+TRGpJ1mBetRmScjH6qePwNwc1XobTdFTg65TOe00HavPvLARAS6HbJ+21pW5kPwW1UOGSeulVsDa+V4PuQtFop1rHXUpsxxIc+kkuVvx2/N6suTUSV/Rqjdq3Mv17lqpFWryJEBuLlqpIVr1lT5y4Q1a6byYqAjjo26XpvNaWPriTwW+lBYtq3yFLFOF5kno2zb2n0sBvwW2rH5HGRuhqbK5zAgjudQw22IvAdNE/k0ZC4NXS6Fbat+NkhhuVoYOTNy47lkMi2YU5MHWrhK6rBRtZ7z67ZtlXn/6rCdDWW8HChFMTVziVSBkxmJeeONN0Y/h9itrp/MePPNN5O243e/+x0++9nPAgCazSb+7//9v96y7XYbRx99NA499FDsuuuu2GyzzfDqq6/ioYcewte+9jU8//zzePDBB3HIIYfgoYcewmabbZa0rYQQQgghhBBCSBU4mZGYNWvGZvfb7bZRch3Tpq2buV+9enWyNnQ6HZx00kn49a9/DQD4//6//w/ve9/7vOUfeeQRzJw5s/T/gw46CGeeeSY+9rGP4a677sKTTz6JSy65BFdeeWWythJCCCGEEEIIIVXhZEZiBgcHRz8PDY0fGro+Qef06dOTteEzn/kMfvjDHwIAjjjiCFxwwQVm+W4TGevZZJNN8J3vfAfvfve78corr+Caa67BpZdeGjRRoymKDpB3yrannjCwOqQYVv2TadskQ9D6zabVItaate5jb1quCsmIFS7q1KeWyV3TlqWhNI0Qa5+0RIfdthLYtlo44cuGBEVas+ZKS+LaBkIt6x46nRcV2m7ITFxb1UALV11Hp7s8xaqjMGxbIY+7ukakVWuhZCbSmrU56I7PjdVDXctZFq4aaUUqpSXSsnVduTDZid5WU1jBOvaxbWVj7diqpk/7JW0PLQlKsy0li/oa90sKfLKTISP8H2uhmLjsRBJrsdqQss1m7i1r1R8qJQm+p+kwavldW3kLaUkhJFxoqQ5vyGtG9b2QoEBJUKRV64A8p9UpINWBeljOhFW4dFzVKhDLflVekqFywFikTWtDyx7FV33/aXukJaG25N2+x+AqBcMtV906/HKdUClJ3Xnq5PUU+kxuoWUUpkVqqOwk8TN5HbISa1yqW8YSitWOqfJbYaIwAWhiNtlkk9HPIdKRlStXAgiTpIRw3nnn4ZprrgEA7L///vjud7+L5gR/GG622Wb4xCc+AWBde3/0ox9NuJ2EEEIIIYQQQkgsnMxIzODgILbaaisAwNKlS82yK1asGJ3M2H777Se87csuuwyXXnopAOD9738/br/99mQRH+9973tHP7/wwgtJ6iSEEEIIIYQQQmLgZEYNzJkzBwDwzDPPYGRkxFvuqaeeKq0Ty1e/+lX87d/+7Whdd955Z9JEnbRmJYQQQgghhBAyVWDOjBrYf//9cf/992PlypV49NFHsc8++3Qtt3jx4tHP++23X/T2vvWtb+HMM88EAOy00064++67R6NDUvGzn/1s9POsWbOi6ijyTlnPqnAshJRertc5NCTJtXuB+1ZFczee/dJ461QhOheGz5rV6Hu9TkybS/arUvuaaU2rWC/za19lnZnSBqee/Ctpgz15MqSlnV4Wqj2uojv22frp77L7h1W+iE7h15J3RG4MuVa5fwPbrHNV+HJcqHwXjuWqHgu81qw6CYKwiAy9PnVeH6lzVssawo61OTDgXdaQFq4DSuMv8gGY+TPk9aOE9p2hsNwgOldCPuSxPR1WdpfCqrUzpM7pdvWxoZwXQ+TkaGstucwbIs4dVUdbnLer1Uktr92Ok3NG5Tlwvqo+XpN2fDFzWhi5L6xlhbDedMppC1drPDeXyW0b5YycGXI8KEbEuT/iXj/ZwJjFqmPFCqCQeTLUMmnxKm1am+qeI7tOj4FyOM4Chzmd+0KOxaXx15NPo3Q+5nJZWDssQu9H+p421JH5NNxlrYY/10YM+rnBl0PLsrGtYr8aaukemndD2uQWOs9UYB2lfBoReSDM/BmBz9Z155+YzPwWMc/umthn/iLvTJncHhOBkRk1cOyxx45+vu6667qWyfMc119/PYB1CTjnzp0bta1bbrkFp556KoqiwHbbbYd77rknerLBx2uvvYabb74ZALDRRhthzz33TFo/IYQQQgghhBBSBU5m1MDee++NAw44AABw7bXX4qGHHiqVueKKK/Dkk08CAD73uc9hQL1JW7BgAbIsQ5ZluPjii7tu56677sKJJ56ITqeDrbfeGnfffTd22GGHSm394Q9/aNrCvvHGGzjhhBPwyiuvAABOO+20UTtZQgghhBBCCCFkMqDMpCauuuoq7Lfffli9ejUOPfRQnH/++Zg7dy5Wr16Nm266adRxZOedd8bZZ59duf6HH34Yxx13HIaGhjAwMIAvfelLGB4exk9+8hPvOtttt13JhvXSSy/FSSedhI985CPYf//98e53vxsbb7wxXn31VTz00EP42te+hueffx4A8Hu/93veiZUq6JAmX4hVFbuoXkpQ6rZwdWxaK0gqgsPMmv6QNhmA2gzcdh32q6FSkjpspRz5iJjuNcNFVTN84ahVbFpTSETk93agBCXW7k6HyHY8+61DoIdFzHJLbavTkNasQnJi2BI6B02RaemHRxZSKieuedO2VUhJShILca0Vw8reUZYNlGYU6txvCKtWKSsBXDmJ/NwplRurs9FUUhvtMbq+HSrmvDPc8S6zbFtdyYI4H5VnaVNYtWoZSGfIv8zdlgi/rhAz77RrQN4T9H6OfW+rc3rIE65vNcNn5woAWOPPyyXJVDvkvoRap5atWQ35iFgmj7tpxarHc6Os9/5hWiX6r2uMiGt3eNgtJ61alf1q1hDX8ojadnPM7tVn0wq4x15fZh2En58+Oob9qk9aok85S0oRipQ9NPPIe5phRW7dq+SyFE9wsj9CbVoBW0riWJE7t4Te5qyznhFT4HuGrrKtfpadlOSjkb8pUkl+TKv4PoGTGTXxvve9DzfffDM++clP4vXXX8f5559fKrPzzjtj0aJFjp1rKD/84Q+xatUqAMDw8DBOOumkcde57rrrMG/evNL/f/e732H+/PmYP3++d90PfvCDuPHGG7HFFltUbishhBBCCCGEEJISTmbUyFFHHYXHH38cV111FRYtWoSlS5ei3W5j9uzZOP7443HmmWdio402mtQ2Xn755bjnnnvw0EMP4emnn8by5cvx6quvYqONNsKsWbOwzz774MQTT8Shhx5aSnJICCGEEEIIIYRMBpzMqJl3vetduPLKK3HllVdWWm/evHldoyjWc/HFFyeRfOy5555M6EkIIYQQQgghpK/gZAbpGUWeA3nHtHqyLIqs/AhSc9YPFq6xbUxhuWrmHgm0iIq2dBX7ndreNRatBc4cfarQ1ls2bSXbVvnZnzOjSg4NH62I3Br6u8ynYWmUNday3GPbalm4alm27B4n74bOrSFWbKicGZn4Xuhl8othv2rZthYjHstVdf0UHn3+uk13un42KeUXkNeWym0gbVsHhY5/zZAq1+z6GXBzUIysDsvTIHNYAMraVB3sRtZdt5u33To6wqq1nE9D2PwOC5vGAX+uB4tynomx9RrNsfbL7QJA0Rn7nq/V1qzdP0PlRrDyafhyaDTX6nNn7Pg2PDlPADeXgS6bGRaozjJ9zjW7n49F0z1mznheyrsRaNsaa+/quV6lTSvgWrU6Nq0AIMoWIkcGAMeqNRM5M1oDg04xadWqT82GyC0hF2XK3lWePrZNtj7PPBba2nI5sv4YYvJFjbdMIs/3KmkHQi1RHdtW/dzgyYuhyT15t0r1J+jvKvarKWxEQ7cVWn8/WIvK/Hd5hfam7u8NFbqZEEIIIYQQQgghpK/gZAYhhBBCCCGEEEL6CspMSM+pI1TKCcXSIeI1y04ma1sWMTatpfVMizt//Y3WWKhtaH/Eykp0eLQOC58ojj1aZoTWqjBQK6Q7FEuCEmOrqpf5pCW6XENa4Rm7pY+FxA2Z94c5l5fJz5m3XC6W6VB1KS0JPio6/ldISwolEXHCzAOlJNp+1VkmLSLVWGZaqIn9LluzjoXJN9vdbVoBoCUkKCOr3fbL49vw2KiOx7Bof9mK1COdWOPu84CQlpgSFMc61W8bqq9VOYbo8G5ZtpBSjI6W9Yh2qB1tj8g+6C5pKy+DWjb22ZWcqPNDOIpmK9V5K9trWrN2P+6AttP1S5uscsFPoaGyqgryKy/6+pQy1o7qRyEfyTrKcllatcpyzQGnmLRq1deFT4JSwVHYxCct0fU7Fq5aLpmgLSnuac1G93ua/h4mkrPx2a8DSiJSaIlI93JV6g/Fql+O54ZjdrAEpaHKdRLZhoYsS0GsPelkSj9CJSjjtXFDkK8wMoMQQgghhBBCCCF9BSczCCGEEEIIIYQQ0ldwMoMQQgghhBBCCCF9BXNmkJ5R5J2uPlg+3Veoheu4yxLYtsbaKk0WUv9XxaY1M/az4SlX3ra/v0NtVUPzZFg5MjKR68HK5xCLpWmVutjC0hobtq0piNEeDyhduUwpMKB18YY1qw+9m5atX+HJkyH/D7h9l5faL/X0CebvteXqsMhxIS0drbwYegwRZYvhIaNc3Njj5IgQeTJ0bg25rKmsWVvTx5YNrxlTnWdrtCVn2Dmhc0J47UbVOTYk+qCpxN6DnnwaMpcG4ObT0LaqpZwOAeh9LoSdpu5HSVv0gd5/WaWVk8CfP8PNt9BQdroy14nOeyK/y/brnBny/Omo/CsdmTOj0f38A9T9Am4uCct+1ZsnI7Rct+8+5PWpcuE4+S+0bbNzzYtrRuXdkFatTZWbSY7N0jZcD73yuzUul/ISyXuQYb8qyw3rHBGe/FElC9fUVuSZ/542reWeq0Mj8pnIeoao3sYq9quW5apTR6D9qmXbGouVg85bLvc/S8bmZLDzQMTluJgodeeXqGKTS8ZgZAYhhBBCCCGEEEL6Ck5mEEIIIYQQQgghpK+gzIRMOj6JSJWwtdBloWibqdBlFnXLU0L7UVIppC1QDuTUZ8hYfJ9Lm61gv5paWiJDQjM19WvKTKS0RIS3NlWYtgzdHSlJUIRNXu5fT1LNxq67tESrBBxLTh3Wa4Q2h0pQpFJAW8TJ77ILSnIdaTNX6DDt7vaI676LZfoAS0yJyNh3JwTdkKOYdcjwWV2HUT8caVmYhaYO+W+0x0LmpU0rAIwIaYmUHjQH3G2NSEmBPplE87V0wm/f6w+bbje0BGWs7HTRH9LOFXAlKEXu9oHsOy1B8VGSaXRkHW7ZQpzUA46lqz9sWstHQq0wLdvWTMhOSva0HutdS45innNOn7pSEsfC1QgdL9mqeqQloeXWtdGzrIocTeoISrbwQnbSEZ+bSvIjrmUt5ZPHesAZ59xmyLWaDX1xlZs9HnqMHQ6Ujww7spWJW7jG3tNCl3Uy/XwhviR4ZCtJUAJlJnkRVs6yha3SrlBSyEdisGQl/S7FkONQqKwH6P/9TgkjMwghhBBCCCGEENJXcDKDEEIIIYQQQgghfQUnMwghhBBCCCGEENJXMGcGmVLUYc3qlAu0aS3ZkkbmyUhdR2qq5NOQfdJMnKNEE2O/qtdz2+TPuxFjL6qxNMRSj651qpY1a2qr1pKGWOy3k/tClbPyabSa/mWORjmyi3ORL8G1aXXLdRz7W3dZ0RSafJ0XQ373fVZoTavPctXJkQEAwrZV2zuG5sxwymltra8OhZu/wH0EaIocGh21rDU49n1AfB5Rlp8yz8SIsm11rRS1nl7alHb/v0alwkC7IfX6Wdf/A8B0aSWpTiaZD6RQuWqkpauFc82rd0YNn1XrkP6H/xj684voct1tNwFgaHjsfGms1uNj97wn2mbWzb+yxlkm86+E2gE3WpYVsd+21cmT0XKTlLh5Mfz5NFLct8o+nOLakPvScQ+2tHdtNqc5y6RVqzOmahtemVNIWVc3nLHeXTYsrkPLJttnvwr482TocnnRvRxQjzW5xJczQ9/vGsayQn430hXo0yAUX54MM7eGlU8jMO9GCkrXj/W8buSFCCU0X0S/55WIyX9Xh03uVIeRGYQQQgghhBBCCOkrOJlBCCGEEEIIIYSQvoIyEzJlSWXN6i1XslGbejKQFFgh55qYPq5DDmS2MdB+NTOkKqHSklh7VzdEVPzfCK21ZCahy6qE6jY8/TjQ0NKAsc+tpn+ZthR06nc+u+2Qq+nQZkCG68sQaLeUlKDoZTnkeaBueVKCMiJlJtqf1jhXHVmI+DzihpJLaYklM7GlJIZtq7Ne2DVv2Wk2BpSFpiMVGOuP1nS3T10LV3VOrJbh7kFNNCVFWqoylEtpCcRnXU5auLrLBsUGi47bfilJkZKTkgWtgVPWJzkBlOzEPZ6u5arfllhiWeEOr/Vbisr2Dg+4560cN7RFr5QwNQxpU0ecZyUJSkucg+o+5vS4lIvo+7g8x7U1q8eONVNSlUpWrbJ+OfgLyUmRu9dW1hnr14Yao5qy78RxL8kGxaayzD3YWloSQ+5ISdxlPmmJLQec+D3Ntl91j1mrkXctZ0lQtYzVV64K8tlA3+980pJQKYm5rRpkJtbzopRVd/SzZLM+2cNUlVFo6XoK3grykVAYmUEIIYQQQgghhJC+gpMZhBBCCCGEEEII6Ss4mUEIIYQQQgghhJC+gjkzSN+QIk+DxLKL0rpbqXcLtVhNYvXWYyzdXdEYWybVy1mV3CY15yXx5cmwcmRYmtkUWPZohaENHrFyZhg62Ymi5f8Nw2JV5snQfTzgscKz9NvWcZK7rPfe0Vir4yf7qqmvSaFPL8RnnUtCWrXqc9jJ4CDGEJ2rxsmTofNpSBtXx2JV58UYq1PnxZDfS9s2lknkfmc6P0o7zJq1FWjb2lTt99m2liwcTVtSae8q82e450TbsbF02yHrnK7qbzr5NMR5pXKDlM4fz7KGHEmD82cAcgR2+8Mtpb+7y4zcBkNj592wuOi1rWxDHs+Vbj6NZnvMqlXmW2mudvNRmLatMmfGgMpjYdm2OpWIfBotlavCyZnht3B17V0j72HiPMty97oojGUDwqp1xLFmdatvirwwzVyNxfIYjvjzTEi7UevcsazInVwsaqyZVCty3/1I3y8y+Qzh1pl5+qpk4Sr7x0hfZD0PpLBcNesw7zPV8y+kyJ0Wm/fBWq+OXBVTnRS/j/oNRmYQQgghhBBCCCGkr+BkBiGEEEIIIYQQQvoKykxIXxJr2xpaRyyTKS2pe9uhoYFmSJsMw2/4y0m0PVoj0FYtVFpSsm1tdA8ztWzaNL7QTx32mQeG3Q6NuH3cbo01zJKjhGJJPwaMPpXfB4yw3tA6Qinbr45Rtr8Vy5rqludIS8Q5rS1c5feSVKW7BKV0JGRY77Abkl8I2Uk+LCwctZTEkIg4UhK1Xi6vO0Ny4lizWrathjVrZ3hsW601/mWDQ3670SHjPJbyCKucK1VxzzEpQdHL5Hcdai9lJwPOQmWnKRQRUZITwJSdZB3RxpHukhP9vZJtq6izISQnJdmQsGMd1hIUITtpDAjJSVtZ/koL1wElM5HyFC0RaXmkJfq8lTKT0rUrlkkrYqucIUELRh8LKS0pXDmNHB6lzE+pwBxpSVNZETfEsgGlFRwWp50ci7WkUB55S/olpSX2PS1MglLFsjwUS2Yi7/9aPtLw3MfCjLDj0fe0YDmKJRueRHmBc6/thD0HWve+WErW5xHULZ12tlWzXKefYWQGIYQQQgghhBBC+gpOZhBCCCGEEEIIIaSv4GQGIYQQQgghhBBC+grmzCAbBEmsWQ2dmdTFxdi0jke/2bg6fWX0Y2z+EuicBRPEzK1RWpZ0046mVefdkFrYKtpgn/Z4WqvhLReqL9b9IRlQQm2f/ape5uTWaOpywt5R9X0DEfk09HfHJU/n9RA606bMn6FzZoTZOwYruNX5LvNkmDkzxPe8o3PV+HNm+Ovw16+tWR3bVnnMBtxyzQGRT2PQ7UeZc0HbmbbFtp3cAKWcKoYVofgsdf1abt0w8ml0iob4rG1bx8pOF0PZoMolUXS65xcB3P6R6FwM+lpwynp8Mxvq/03LflV81/kRJLkoKHOeAMDIGnk8/fs5PLBWlFP5RWReDJUzI58+ZkvaHFF5ZsRBdezBLW29uv9482TocvKaL/t1+peFItuszjm5b0153Wlr1kxYs6prxrqemkaejImi7znyXhV6T0tl2arvTyGUnhsc21Yjd5djjRvXfst+NdZy1VeutCxFLgl5DQU+W5vP4EbuIUmv80Wk6Ku6GTenYJ/9/ugGIzMIIYQQQgghhBDSV3AygxBCCCGEEEIIIX0FZSakZ2SNJrJGs/YwsCq2rb5ypTqlfZRhxWTJXUK3lYLQkDxN6LGR7c/VOk2jv30hkGbflywF/eGijcAwUJ/9qkaGlZblKGHWr6HoUFIZXjtiSVAipSq5YdUosaxTffarej0pLRkwwul1KLDctOXgKndF75b8qi0FG43u0pKiqWwfpQRFL5Mh6D67yHHw2ap2htzQ+ljb1txTv1WHXibHvYY4aCV5Qdu/TNq4asmCtGp1bVq1has/hLvjkVVYtqS616S0pIoERTI45F3k4JOcjFeuaEo5kLCIHFL3PtEJlgQllELV0RHHTEpOAPfYy3NiZI3bOU3xvamXrR6Tp2jb1ta0sbLFiLwGlbUpAjGkZPImUbJtljcQ9WxQREhQMn1eie/y3iplJeuWCblIrpeNfdYyv8ZIdzlgFcvs3HMPqnI/8klLdDnLijxGklK658jvxuOQ9Xwh0c8NqQ1GrWeskP8DtlQitH4LLcfuJJB+x1BFEpJi25MlHw+1cNXL+hlGZhBCCCGEEEIIIaSv4GQGIYQQQgghhBBC+gpOZhBCCCGEEEIIIaSvYM4M0nN6rdkKzs0QkU9D54tIZdU6tt2pOd8YqsGzlkn9YtFQVpW50AZH5J+YCL48Gaa9q6EvtqxOnTwZ6tSxtcdSXyz06FXsXZ38AtLGUumORbss6z7dB748GdpyUh5fbcUqu04u011qybsda1YtqW54tPBKF+/k09DLBtqinF93XwSODY516rCbh0B+7wxpO1DDjtWTT8O0fs31Mpk3qNH1M+DmStDWrB2R06Gj8jtI21Zp06ocXNEWB9/NnwEMe85pj5NpqRwAdET95ZwZ8C7z1Tld1e/LqqLzYjSsi03kZsgaIi+GWkfmtCjlQLE6JRB5XlnHU9r3DrdVXoyB1eKzsm0VNq7NtttzzWlrxr6IPBmZofEv9ai8Xhv+/Bbu2KCuYzmG6LwYctxw8mdUuKeJnBlyNX1flHkyysv86znjtLiemh1/nqlmHtb+WLtxK1+Uk1vDyPsSm09D9k8n0/d8WeHYR33vk32Vq+vMybWhxhCdN8uHZb/qzZlRIS9GzLIqz/FJ8thZFswR1PE7JCYHXa9ZZ806NX9nVKH/94AQQgghhBBCCCFvKTiZQQghhBBCCCGEkL6CMhMy6YSGnKXGsnAdr+zoOoZNaywppCWxYWsx65X6xjievvptC1dlbZb5w2l9lG1VxWcjRNS0d/XYwHb7HkJJ3iEIDcmVIbj6e7vlnldyvdyQu1gWrg0n7Nld1hT9Y9mvNh07QH8djk2rt0XVKJxjKHa84Q8z1+ewlJM40hJdzpG0+K+zXMqvlDRASku0BMWyXNWSER9uHfqa9NcvceRXSvbg2nX6bVt9Nq3rvksJipaZiHNOOixqKYkhQXGkJOqczh1jxYazxMW/rDHU/ezVfZWLOvQyacfaFJ+Ljh6HxDmnzgEZ/q4tV+Xx1TIiH7oOaQfcGTbkKI4161pnWXP1mHykOaiWDY4tc21aXTtjR3ZiPV/Ia7IkFwkbG0x5imXTGnjPz8R5W5badT/3AaAppEhaIuJIALNc/N9/v9NUsXFdj3VPGzHuaeFW5KlNUN1nA/m5MO7/+lCHWr+moG5pibntCIlFFevU0Odka5Susr3RdSJ/o8RK3FMwWb+xegkjMwghhBBCCCGEENJXcDKDEEIIIYQQQgghfQUnMwghhBBCCCGEENJXMGcG6RlZo4Gs0Qy2YqrbKqmKRWxoLglp1apnClPYL6W2cKrDEkr2QdOyZpXHoobcI6GU82l0z4WhdcFmPg25LAvUzyosKzlfzoxSboBQKzzHctK7WXOZppF17zvLfrWp+9hZJj4beTcs+Xah+qeQ1njy4Cj7VScPTFNZs7amjX2eNjj2eWjQKVcMCStJpff15SXQeQ4c61RlzdoROTSsfBcWpr2r3LZRTpLpnBnCotO2bR2rf7pqu7Rj1faozrLMuH4CrVrLuTa6n1yWTWv5TjC2nzPEf7Omu5/NtvziHx9dm1y1zMmBoscvkTOj6c/5IXNrlHJ3GLp1aTPpO7alZWtc21b53VombVqztrruhsdyaBRtlcPJZ2Np5LTQ1sxe+1VAjSn+MUSWK9URiGNjrfNpiM96qHGsWcXnxojOrTH2fW2mx99qbQXK96OR1Pe0Cst86GcDebroXFuSzHP/X1en+KyWydwbmRjLCqSwUQ6zcB1vWUy5PDR/hjHOTWauhxTbTvH7IgVVfvf0E4zMIIQQQgghhBBCSF/ByQxCCCGEEEIIIYT0FZSZkJ4TGuY0lcKhgm2mAuUSVWxhY5gqkhZrPx3JiQ6Lb4x9z3NtcSnCo1W4aC4t6AwDTytEVBJqv1qSqnikJbqcs60Kdq4jHgu6Tt4wyvnDbqX9qrZirSIt8eHIRQItXAEdHi2lKi5OiLWxLPS4WxaLmQozd8LOW2PaAMemVX3PBtruMrHjjcAxRNutymvIsm21JCKhchRf3Rotn5HftTWr/C4lKG1l5Tld2jYqm8npIt5dSj+GlOREhsVr61eJfe77bFoBjFj92N0Kc3C1e8yypjhfGqr9nrh+LQOx5CmuNas+l8Q46p7GXrSkyEdnuKO+SwtXtw9GhFWrtGkFXKtWadOaCckJ4MpOtG2rvGYcyYl1CeqxwSMl0WUdaUlJxmIscyQooo/VOC17Xw9zztipTs1MXBvSpnVAy56ETGlAHevhXI7h3T9XIVYuMjTS8S4b8VznoZITQD8DFJ7/w7FcLUtV/OtlplwtDHlO+2S9pXV6KDmpWnY9oc+jqaxTe/l7Y6pIUPoZRmYQQgghhBBCCCGkr+BkBiGEEEIIIYQQQvoKTmYQQgghhBBCCCGkr2DODDLphNqxprZtDc3noJeZdUrdulomZw7r0MGF1hm77RT2qT5rXMs2rLxsTFeaKy186Oysa9Hpz4Vh4bNfXVeHp5yRW0MTqjcO1RcPKR2//D7UGvs8reX2opVPI1RurO1YJbILdClHf+1YvapyRl4M+c3qUkf7rnTrmWHNKK8LJy9GS+XFGPDn02jI9aTVpmF9qZH5LjrKtjV3bFv9By3UctVuR9hJUbZtHevHprDQbE13+3u6OG/1rsjvMhdGrkaGTjFWh0714FqzusuGPHbG5mhv5s/wk6kcGk7totHSjrVkEe2x/AXcXBj6uPuOYW6cO2Xb1rDxKxc5UXKVH0Wet6G2rU2VM6NoC9vWadPVxoV1bWi+GMt+VefTkHkyjLwYzpii7TplzozE+YsAPa52H28B15pVW4o2jfVC8dmx2jkzcu8ynSMj1JrVySVllHMOoXoclf1TlHJtyc9huTaKQtdhPKs2w56T686hEWrHmhrr+VaPhvLs0XnbYkiVryO0zmS58TaAvByMzKiZ5557Dueccw7mzJmDGTNmYIsttsDee++Nyy+/HKtWrUq2nZtuugmHHXYYtt12WwwODmKHHXbApz71KTz88MPBdbzyyiu46KKLsPvuu2OzzTbDpptuit133x0XXXQRXnnllWRtJYQQQgghhBBCJgIjM2pk0aJFOOmkk/Daa6+N/m/VqlVYsmQJlixZgvnz5+OOO+7ATjvtFL2NNWvW4Pjjj8ftt9/u/P/Xv/41fv3rX+PGG2/ExRdfjAsuuMCsZ8mSJTjmmGPw0ksvOf9//PHH8fjjj2P+/Pm49dZbseeee0a3lRBCCCGEEEIISQEjM2risccewwknnIDXXnsNG2+8Mb7whS/gP//zP3HPPffg05/+NADg6aefxhFHHIE333wzejunnXba6ETG3LlzsXDhQjzyyCO49tpr8e53vxt5nuPCCy/E/PnzvXW88MILOOqoo/DSSy+h1Wrh3HPPxX333Yf77rsP5557LlqtFl588UUceeSReOGFF6LbSgghhBBCCCGEpKBnkRmXXnopTjnlFGy77ba92uSkctZZZ2HVqlVotVq46667sO+++44uO/jgg/Ge97wH5557Lp566ilceeWVuPDCCytvY/HixbjxxhsBAEcddRT+7d/+Dc3/0cvttddeOProo7HHHnvgueeew7nnnouPfexjmDlzZqmev/u7v8OyZcsAADfeeCOOP/740WUHHHAA9txzT5xwwglYtmwZLrjgAnzjG9+o3FZgnTYrazST5MWgJ7S9rbrzYqTYT1/+DKvcOvzDltR6F5lf+xqajyIz8l245dzvvjwZOp+DlU8jBaH5NOTnYaWLH26Ick2rDrVxzyHVkmq525YWW5bTeQ7k8bTybuhlTr6OSM281LRnQvueDbh5MbL24NgXlU8DImdGY2CsjkZb5edY43//UHT8+n+ZJ6MzLHIUqGNdBObMyIxcDKF1aBrtsTqbw2Mnz4Bqo8yrMF0lERgS+XSG8rH6ZI4MAGiLc6Kj6jDSQjjL9HoucntuXzVFJc1Mfnbb2BwWNagTPhf5RTLZ3wP+46JzlMjvWSds7LHyrVjobfvQuTtk7pfO8Ih/2dBYZ+Ujw065THwvht28G8XI2PcsH7s+M3W+mHst8yM01b1JjAeFkTNDataLUj6NsWXyPqbTOVhtlDXq24z8PiCO04A6Zo0RsUxVstaXd0OVC73vWsg8GfqeNhJxv9PlrJw/vmUNtV/WCOg+A6icX55cG1nu77cUz8JWzjKL0LwYKXJwTCah+d1iif1N4Vuvl79Dpgo9i8w4//zz8a53vQtHHXUUFi5ciJERf3KrfmfJkiW49957AayLnJATGes5++yzMWfOHADAl7/8ZQwPD5fKjMcXv/hFAECz2cRXv/rV0YmM9Wy11Va47LLLAAArVqzAtddeW6pj2bJluOGGGwAAhx12mDORsZ7jjz8ehx12GADg+uuvH534IIQQQgghhBBCJoOeykxGRkZwxx134KMf/Sje8Y534JxzzsFPf/rTXjahJyxcuHD086mnntq1TKPRwMknnwxg3UTD+smPUN58803cc889AIBDDjkE2223XddyH/nIR7DpppsCAG655ZbS8ttuuw2d/8ni62srAMybNw8A0Ol0cNttt1VqKyGEEEIIIYQQkpKeyUyeeOIJXHvttfj2t7+Nl19+GS+//DK+9KUv4Utf+hL22msvnHbaafjEJz6BTTbZpFdNqo37778fADBjxgzsscce3nIHHnjg6OcHHngAhxxySPA2HnnkEaxdu7ZUj6bdbuMDH/gA7rrrLjzyyCMYHh7GgAh/Xt/W8erRbV2f9yOG0LC4KuFVsdZGocRLIsbwBx77qWLNGEqsxWqdoWul0L2Ov79lqG3W8IeI5mJZHbO2lq2qr5wOR5XSklpCckUofKhVXdl+VUhQcv8ya73cCacNs2kF/NKSUl8Z1qxymZaxZLLNhREc7Pjp6UZ2DyV3ZCUAsrVr/MuEZWRzcKxcU9lRSnlHo8LYIMP3O0KmoWUDUnZiyUUsmYlFqARF2rRqKYy0am2rZdMde8es6+fyd79h35C+ZjwR6Lqcrz6LppIXOBKUtdp+cSyytSE8Vkth8NK2VcsGpAVw239NhkpLtETEqb/pHwOdbZVC/sfqzFX0qs+aVVu4NoQ1q7RpBYBiSC4TMpO2ihzOXclYMD7bVv0MJMcQNb64lqVinUib7FITs+6f9VgpZSfNjn/ZQO6/p0nM+53xyBYjnbSWWTatuo+dZebtQkhECn8f6GuhiFjPGlJDZdsWKaQkEynrI8XzqBxxrVE6hTQ+lhgJSpXfRxsKPYvM+P3f/31ceeWVeOGFF3DLLbfgqKOOQrPZRFEUWLJkCf7iL/4C2267LU455RQsXry4V82qhSeffBIAMHv2bLRa/vmiXXbZpbRO1W3oeqztjIyM4Oc//3nXejbbbDNss8023jq23Xbb0QiPqm0lhBBCCCGEEEJS0nM3k1arhWOPPRa33norli5dii9+8YuYM2cOiqLAqlWrcMMNN+Dggw/G7Nmz8Q//8A99556xZs0aLF++HAC80o/1bL755pgxYwYA4Pnnn6+0HVl+vO1sv/32XdeT38erQ9ZTta2EEEIIIYQQQkhKJtWadeutt8Y555yDn/zkJ3j44Yfx53/+59h0001RFAV++ctf4oILLsAOO+yAD3/4w/h//+//RSXJ7DVvvPHG6OeNN9543PLrJzOq2rNW2c76bXTbzvp66mwrIYQQQgghhBCSkp7lzBiPvffeG3vvvTe+/OUv43vf+x7OPfdc/OY3v0Gn08Gdd96JO++8E1tuuSX+7M/+DJ/73OemrMXrmjVjGsx2u22UXMe0adMAAKtXr65tO+u30W076+ups63jEar7staZLLvUftCmVcmREdr+Xu6nZYVVKMuyXOjM5UxtWYs9tp5cR6/n/N/Q/1q5MCz71WZgzgy9rJXE4m5sv4dGRJ6AlqsendYa6xGdF2PY0XPr/ALVRdy67109t+iPTJfzL3OsWVWbslxo48Uybc0YlU9DXyPCfrVk2yqXCdtWbc3aFLatIypvhWmXKi2LpU3rkHtt5Z5ygJsToRGYM8Oy5AzNxaBtSWU+jWbbPS7TxXns2qi6dcrvuVJLu7k29HphbZblhtSp03TGqFz8X5fr/hkAmuK4dYSlbaPtnnNNI9WDlcfCOZcC00WE5ljRx9OxiLXyaaj65Xdp25oPufkupP1qoWxbC/mCTC7TzxMxuXWgbFaltr7hXte5yCOkbcR9eTL0uSmX6dM0xiy5adhka2tWx45VfG6rcaIt7iXynhNLaB4oa5l+NsgDl4X8vxvyWtM5OTJP3pBSbo1CXjPuNe/kcOj0NodDTDlnnRram5o6rHCrbM9XT2wuv6n4myWGSY3M0Dz77LO47LLLcOGFF2LZsmWjD6hFUaAoCixfvhz/+I//iNmzZ+PKK6+c5NZ2Z3BwLInU0NCQUXId65N4Tp8+fZyS8dtZv41u21lfT51tJYQQQgghhBBCUjLpkxmrV6/GDTfcgA996EOYPXs2/v7v/x7PPvssiqLALrvsgssvvxzLli3D3XffjRNPPBGtVgurV6/G3/zN3+CGG26Y7OaXkG4sIXKMlStXAgiTecRuZ/02um1nfT11tpUQQgghhBBCCEnJpMlMHnroIVx33XX4zne+M5q3oSgKbLTRRjjhhBNw+umn44/+6I9Gyx988ME4+OCD8YUvfAEf/ehH8eMf/xhf+tKX8MlPfnKydqErg4OD2GqrrbB8+XIsXbrULLtixYrRCQKZpDMEmbBz6dKl2HPPPb1lZcJOvZ3tttsOy5YtG7etsp6qbY0llZQktV1SaptWIM2sYky4mLVOaH2NGsLUnD5u+s+DPNchlt1DRIvMHy6qw56t9dxteRd5bVurSElil/mwwm6t/w+LeOZhZYXbaRZdywFA3uoe9hyhPgHg2rRa9qu6PzJ5LukQcXmNymVWKLnZSBlW7t5es4Ex+UjJmlXaQk4b+yxtWgFXdtIcdKWBDWFJmTXGj7QDuoS0C/lCrvURcr3AwHVLZqKX+WQnWnog12sNun0spQfTnZB8bc0aOuL699OyY5W7Ui7X3aS7qfbfsWZV41B7eOw4NVaLsWDAHQ87UkrS9u+zlig1PWWrWPLKY2GtJ8ffUPkSAOTCttWVnPgtXLO2K5GVdqxSgqLlKFlrTLpSlCRo1Qc0bb+aO3I9t6wjifD8X6+nl4U2sSHkLtqaVX4v2baKa3StUS5UOqklLjFY9zvHwr3UV2GdFVouFtl3Reme5peIybNTPjtl+cTlERaVrFl7KCfJAi3M/QbdLqnk76GksIUd73dKHZayvaankRkvvfQSLrvsMuyyyy7Yf//9ce211+L1119HURR4//vfj6997Wt46aWX8I1vfMOZyJDssMMOuPTSSwEA//3f/93L5gczZ84cAMAzzzyDkZERb7mnnnqqtE4o733ve7vWY22n1Wph9uzZXet57bXX8Jvf/MZbx0svvYTXX389qq2EEEIIIYQQQkhKejaZccQRR+Cd73wnzj//fPz3f/83iqLAZptths985jP48Y9/jCVLluCMM85w5BM+dtxxRwDAqlWr6m52FPvvvz+AdbKMRx991Ftu8eLFo5/322+/StvYa6+9RpN2yno0Q0NDePjhh0vr6LaOV89E2koIIYQQQgghhKSkZ5MZP/jBD9DpdFAUBT74wQ/i+uuvx4svvoivfOUr2H333SvVtdFGG+GDH/wgPvjBD9bU2olx7LHHjn6+7rrrupbJ8xzXX389AGDmzJmYO3dupW1ssskm+NCHPgQAuPvuu70ykVtuuWU0ouK4444rLT/66KPR+J8wLF9bAWDBggUAgEajgaOPPrpSWwkhhBBCCCGEkJT0LGfG1ltvjVNOOQWnn3463vOe90yorlmzZuH/396Zh9lVlen+3eecqiQEZArNGImSjgaVRhmEBiRRQEzgIiAKOBBbELEVfJqhxXZGEQFbuIh9QUGQZhCEC02jorZhaiMBQUNfEoEoMhkFmiljVZ1z7h/VqfrWt8/6au1Va58h9f6ep57nnFprr7322uNZ+3u/94477kjTsRLYc889sd9+++Huu+/GZZddhuOOOw577723U+cb3/gGli5dCgA45ZRT0Kes+q644gp8+MMfBgB84QtfwBe/+MXcek477TT8+Mc/xtDQEP7+7/8eN910E6pCI/fcc8/hH//xHwEMT5gcf/zxuTa22WYbvP/978dVV12F22+/HT/84Q/xnve8x6lzww034PbbbwcAfPCDH8Q222xTcESGaTbqQKMebQWU2nqoDJ1YaD6NThKbJyM0N0aKPBwSra8MbcPRxapcD45ta6D2VWtrK4GWglZZaF4MbcXqLjf+OWnL0k7asVrWrLpMOinKfBp6W+TqrEwMcik9pFJfnGm7ZI/9ar5MrL3hygOzur8NX36Npk6qIo7bnJ2ezKchbForNfe+UJs8arMtcwEArm2rzj1gHYNOn8V+aigrzPpg8TwiORtOy95Y9Fmv22nDsflU56SwJu0X2zIlZ7EqLVx1Pg3nSFNrb92vvC1xy2q5MplPo19do2TZGtWgrFtdJ/JnrHWPWzkelhVu3i61tZWq3n9Fclz4cKxZc8dtxVsmkTkzchauIrcGVC4MSNvWgdH8NM11bq4aJ6eNujY0A3PtyOuBvoRY+S5CrVmt66h7DVf9cpbzHyNy+K17VZ/Yn1Wlsk6dB6oIvjwZ+v5v5tPw7N689XvYM4XO/SRv5TJPRtYMH4+YPAqxz8LWcjF5MQrl3ehQnod25ucbi5j8fd36u2S8tG0y46mnnkKt1rF8o23nwgsvxD777IM1a9bgoIMOwmc+8xnMnTsXa9aswXXXXYdLL70UADBr1iyceuqpUet4+9vfjqOPPhrXXXcd/u3f/g0HHnggPvWpT2G77bbDQw89hK9+9at44oknAADnnHMONt9885btfPWrX8VPfvITPPvsszjmmGNw//3345BDDgEA/Pu//zu+8Y1vAAC22morfOUrX4nqKyGEEEIIIYQQkoq2zS5MpIkMAHjzm9+MH/zgB/jABz6Al19+GZ/5zGdydWbNmoXbbrstKE+Ij8svvxwvv/wyfvSjH2HhwoVYuHChU16pVPC5z30OJ554oreN6dOn49Zbb8W73/1urFixAl//+tfx9a9/3amzzTbb4Oabb3ZcVAghhBBCCCGEkE4wsWYY2syhhx6KJUuW4MILL8Rtt92Gp556Cv39/Zg5cyaOOuoofOITn8BGG200rnVMmTIFt912G6655hpcccUV+O1vf4sXX3wRW2+9Nfbbbz984hOfyElcWvHWt74VDz30EC688ELcfPPNePzxxwEMJ1s97LDD8KlPfQpbbrnluPq6Hh2KlSLsKSb0K7VsZSxCrVqtwN1Qm6kUlC0rSbHf9Zg2hWVZQ9gZZkYYqFxGl0l5ih55N7pY2Sr2td5PRUJra2ZIbqVlWa5eNv7Q3boT2uyXoAyqMRgU4d2Npj/EOoXDnYzWzRp+60QdIg6PzMSRlaiyWNtWee42lXwE4rvPphUAqpPXic/9qqzfXyYkKUNr/Q5bUoqQC512QvmlHKWIfMEvKZAyFr2cD23vKq1JZR8nW7oPiyHLRHu0TLvY2ratraUCepmKaF8Ph3ROdWyJ17j7Vo6HviZVhQRF70NZU0pL5DKAuw9T3Jty8iij/YpnfVpm0hgQtqr6fiHtWAeF5GRowFsPNfX8UhPnhb72RKCPHJ+0JCcHhL/Mlaq47QcqIhwsmZ/83Kf2Z7+UVdVUmfi+Tpx31j3Twmc9Drhjqq9zjgQldyvxS1C864oZ4DGQdqxNJUHJPHJGyzY0haVoEVlJVPslSDhMWbX4LA+DItvpk/KUbeFa5LfNhiI74WRGyey4447453/+Z/zzP/9zoeUWLFiABQsWBNc/9thjceyxxxbsncu0adNw1lln4ayzzhpXO4QQQgghhBBCSJm07zUvIYQQQgghhBBCSAI4mUEIIYQQQgghhJCegjITssETY83arTqyGE1uVk2zLaFjEpMnI2dVWfL4W/Zr8rtj4aq1r4FdDLWcs+xX+2tVb1mo3V0oOb114Fjp5aQdq8yfUW+6c+iOHlXpf0PzaWSyohI6O3kydM4MkRvDsnB18mlYeTcCz099Tjra2prId1Fzc19UhP1qVdl5V/qFNWu/KpPL9Y/2t6JyLMgcFI21OmeG2NeDo9dOK2dGXTlhujafFW9ZMzBnhka2UZWJJdSjzmSx3ToPjPmOZ8iX3ci/30PTdeicGXIIdJm0apU2rXWV40PuJ22tWx8YLfPl+AHcPBY6z4m0A87Zqgbatlq5NuR5YrUfuq7c/VM8Azj5MwwL15w1a8NzDRkubP05U5p5wzrVlycjb83qL5OHuD7enUtngvQO8ritaOtRI4eTz4rcyhdVq7j708104uLLcWHZr2rbVjefhpF3I8VACvQ4OratKueXk09D5szQ95yG35rVef5KnM8hRb1OUuR5ulPbUyQvRrNRT5Lrp9MwMoMQQgghhBBCCCE9BSczCCGEEEIIIYQQ0lNQZkLaRrPRABr1QhZRZRJrzVoG0u4ptU2rZSUVO94pLFeD6xUI65NhoFnFCAO1LFc9tm3NTIfnyu9uqGeobVuoRCS0rJqFhe62ajMEHb4sv+vQWse2td76s+5XvaLbECGzoZ00JCK2BEVch7Qnn8fCFVA2rtIGtoiFa0WGzIvQYGXhKm1bq5PdoOqasGOtK2vW+hRRtnY0hD5ntSlsW7U9qtwaKS1pDIRfK2UbedmAsHcMlKNYZM6YKgmHkKBMyYWEh12Bq4Z+pCquFVoikpe1tMaybZXfXcmJe8xJq1Zp0zr8fXTbGlPcR0Ftb7oevS/kPpRSpuGy1hIRn6Vqy/UZUhJ3/4ZJTvR2yXtjJu/5SmbSHBwU9ZQ0S3zXsgT3uqHsmH19zF1HxWfn/377VUtKondtQ1xZG83Wn1stJ/Gdkvr/jo1wgntakXumvEpZdqmW/apPWqLHypSgyDLjWiAtkYvYu8rlLGvWUNvWiiqrJ5CMpLYiLQM5Jo6gsMB6QyXuPgvXVHTqN1Y7YWQGIYQQQgghhBBCegpOZhBCCCGEEEIIIaSn4GQGIYQQQgghhBBCegrmzCBdRay2K7RuqB6tF3Rllp1St+QeSZ0/owy0HrXZaK1Vbeh8DoZlqdwcbVkairSgM7XBQlPcX3Pnp22LuzB7VwvLDtCn4c7pi528G1BlcrnMWw+hXdbnjC/HhaGLz7Xhy7WRs3AMO1+bMheAzpnRN5r7oqryYtQmTxr5PKTyaVRFmcy1UVnr9lHm0BhStq0+tDWrtHC1LAormco94smZUenXem5/Pg3vurR4X7SZy2SwTn7R+8xnx6ryeogyveqBCBc8vYjMmeHLnwEA/cKatar2dU3kyairvCfNyaNlDZEsQV+l3VwVOieHtAoWFq6mFWt4mWMZ68mfMVabzrksbVpVnqmmsGbN2bbWZN4Ndc67Pp+j9eKch5XFqlsmr7E6v4VlzerNbaSuV24+Db3u0c/aRlRSCbwfyfuYvqcNyOOxwL1Krls+BlqpjfLPBq2vbVa9MpB5MSo6N4gnl08uZ4bMadPw59MItfnU50xMHohOWrNaeUMkOoeIdTn3tVEkb2DqMSli29pLMDKDEEIIIYQQQgghPQUnMwghhBBCCCGEENJTUGZC2k4nw5xSy1G6Fav/RaxOY4iRnVh9SnF8aBlIZliu+uQjOQtXx35NlXnC62MlJxqftMSyX9XhujHWrBZaUjAowoEbYt06fLnerIjPUGXCtlWG9Wo5SibCzI0w55xdqkcWosPFUffHJWce29ZcOLoVxu47X3VosJCdZDVXZiJD+WvamlXatgqb1r61bh+ltETbtg6tDZSdONIjv31kVZ13Ml63ry5sQ9VBIfulLVd9lq45e1e5MrWdjuzEkZyoToorgt4WKS3R0g9Zt27ItCwHWp9tq2Xh2q+kJHJf9012HwWl7ETKUUyplJaBiONR2raGykXGaj/zLFep6nB6w7bVtz59PnrkKICyZtXyNGnbXBXXF3VeyGtW/vLlkTbkJHmtPwPucaatsX3nq5aquGX++5glLZOEWq5a97RqxX9P0/c3uWcypyzunmzZr0py9q6OPMVfN1aqIo8lKUGxrHWL2LbKEZc2rfoZTt/j2oV1jYolVDIT+mzdbmvWsfrS6793AEZmEEIIIYQQQgghpMfgZAYhhBBCCCGEEEJ6Ck5mEEIIIYQQQgghpKdgzgzSNpqNOtCoB9sS9UJuDY2pp4tos6HaC519tNZlaRlTj7GZPyMyT4ap50ycB6Jp2a9lzZb1dN1Y7aul//VpinU9mScj1ArPqmehtcHSx1Hmz6gr3brUcGt9dL0iddrCWk+dCM7wZ+Fz9E4ODflZ28w51qwqd4TMhSH1ukOuPapz3ul8GqHI413rxUVejMqadd4yn00rANSmjG6bzpEhc1VUhb9oQ+VikGkCTPtI47Soi31RVRLoPrFgtd8dg6Y4tqpu2hAHJ8eCNtczbFsrA9ISudHy8/B3fz4NX46LnGWmXC/C0GPqtD+kctUI29bBQNvW2mS3jaYhxPfZpUrLVsC2bdX5L5z2Pbkwcm3I3B3a6jhC494cdM+ZbNLoGOSsWT0eoLpeJRN9jLyFyctvQ+WBcG1VVW4jcc2SuzNvzdq6vVbffeg8GU5ZoFV4v9jXAxW3j9a90MmTUZf/d/vRNNIHhG6nk/si92wQ1EQwmT5gxLplmZUXw7JVjX1eDyXctjV9LowUSKtW/bwuMZ/JA5fbEHJblAUjMwghhBBCCCGEENJTcDKDEEIIIYQQQgghPQUnMwghhBBCCCGEENJTMGcGaTuhHsuhWr2xytpJJ9ctic3d4SxXwrZIjXJoXowiZTFoHWzm5LvIxGelExb5HHS+CPldfq6revr7eLHyXYTm08i1kck8AeF98emLLb21zhsg82Q0Zf6MpsqtIZarKBF0ViCHxujKGv7v6txqivwXjp5ea3yd3Br+NnLLecj63KQQ2cDakc+1KZOcsvra0X7VRP6M+hS3jb61o/0Ymuw+HsjcCfLz0FqVo8DJH6H2Z1N+9h/78jjTx5zMp9G/zm2jWmvdZqYakXkycjkWZLaKfqUzF3r9yWtG8x7oPso8GTqfxoA4ptfIXDLGMa1zYfjOw9z5I9ocUNeaPrEPc3lPnH3daPl/IJ9Dw0dFjJvMYQEA1b4+b5kv74bGypnh3C9Uzgw3B03kfcW5NljXjaHW/4d7zc3UOSMvxxUn54TKxdBs/Rlw8xLpXBiyrO7k1tBtyGPVLas3/MeqU8+5Tofdq2LvaeuG/GNcN3J3xKDv/26urQLLJci1FYqTF6Ma/jztfA987o7NCdHOPBmh+Sis3x4VVebcCetxv1FCf/dMdBiZQQghhBBCCCGEkJ6CkxmEEEIIIYQQQgjpKSgzIROWUFu2WCwLVE2KvrjhaP55ytCQP20zVS1RQhMrK9FWrDmbsoTokFA5wjnbVun4KcPFDZlJEQlKipBcX1l/VcsGRsv0eFtlEkteIL/r8GhpMShD5vNylNHPfar/TSkz0ZIT8b1ixQOLsqayVXWkJVJyos8zETKbK5PLyetGgTDSrDYqGckqrn2kY806KOQRkyepekKOMsW1j5RWntK2Vduj1qV9qTGkoeHomn7jFUz/UOsVVvv94b/amlVeO7WyoelskLAUVfILKS3pV+eFlJZIC1ctA7GOd3ddWcvPerncOSPlI4Nu/+X+lTatOamd2JZgm1bLOlXbtvZJ21Z1HzBsip11y3trTUmzZL+kBMUKrdc49qtasjg6jk7IvJbais3Wl9EYRYSW8jnHgdpNskxKTvIWrv57lc/61TrHQ9H3Lct+tVppLZ3U3yuez0C4dWqsDKRhSEl8bep9ESNH0dspjwNTSqKQZY4tqaoXKv1OIZXoBbmFvA5Zvw2KjBVtW0dhZAYhhBBCCCGEEEJ6Ck5mEEIIIYQQQgghpKfgZAYhhBBCCCGEEEJ6CubMIB3Hp60rog8LLWsnpefkMMfA0i+HafLKsL8NXc7VZfpFw1aOjCwwn4OF1LdWqlpbK3SrmdK0NltrWrW+NbU1qyY0Z4bMk5GzzHNsMv1lGt3OevQm+/TWgGvNWpfWrA2l/xXT8g3o7RTHXFXd8uoiV4XIX5DrecPIYyHzXVg5M3x5MYz2c+dxoC42Z385OJoPoCryEEibVgBoTJ08+nnQzZkh7Tulbau265S5GKraHjHzH+8+K1J9jK1xrCR1jghxTIv23K10c2joK6XhAOrkWKhNlrah6pgTfazqfBoi5Uq/OKbXqAQDAw1rO6X1q986WZbp/AXOeacK5XefJS/gHiP6mG46OWLC8mnonBlOHpi+MFvVXL4ow37VqWuuK/C9n2HpnBnWrJm8t6q8PhWRN0heUvXlNTS3Rt4au3XZoHGv0mXOsdTwX8+tshhy9yNxT5tUc8dxQFyL5HND/hmi6S8Th7hTZuTMirVfTTE+FuYzczXsedp5TlPtNxPkyZDnp76GdEuOCGscnZwi8hw3fhsU+f0S+ttpIsDIDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT0GZCekqypY5xFJJvD5texqzrtgxMK1ZjfBCeMLYUkhOdBuh0pLMiK2tmKGkxWka9mhQQ+CE03o+A27o7lCuTFgnNpT9pSc8VUtJrDLHqs4IVe8zJCgVTxu5dRvDLy3itG1gs+KpV9FjJT6r/VSpCHvHnDWrjNsOm9vPh9PXW36GZeHa8IfkW5IWy97RIpP70LLC7B8Nr9cSFGnV2j8wWs+SmWi7zvra0X2TtyJt3fcBdUzIY0m34UVZj8ot07at0n41ZyPqOZArSr4kZRpagiLb6BMb119xN1RuW6htqyUDs87BppaZiH3akBauamfIfa9lSZZVq4+cRaSUe2hbVY+VaiGZiQz3dmxatYWraD9WPiqvS1pmIr5X1XXIuU6L/ZTKhdyxB2+2/j/gSktytq0eS9e8DTf8ZYH3tNRW5HV1zsjhryh5l7zH1RF47SmAT1oSauEaS6gVq1VWhvTbfFbtMVmFT3IChMtOUkjEN1QYmUEIIYQQQgghhJCegpMZhBBCCCGEEEII6Sk4mUEIIYQQQgghhJCegjkzyAZB6nwaqXNktLv9WGQ+AD2OUudXTaCHDEXnu0iRJyMLzPUQita6ylliKY/WeTccvbKRTyOFhWtOQ+zJk9GnvCnl+PRp/b8sMzTK7jL+Puas/IQuWarMm0rLLMv0WNVq4litqFueL5+Gzp8RekzL/BkyRwZc29ZcvgufHatVz7J3Vcg8AvJzVVm4yjwZjQE350ff1NGcCDJXQv+gm1+gPihyLKhcFW6OiHA9vb+eLi2eQ0PbtsocF6ZNq6iXqYqZyBeh82w0+oSdYb+4pg4YY6VsCX1jpcfDslW2kDk/GnX//pTa/fqAmzOjLnJoNCLyZwBwc2HUXLtU57u0VdX6c5lDI2fNGpYzAx4LVwBAVfQjMO+OZeGq80Vl4piW19RMXefkYtY9TZ9bPmvsvIWrsGbVOVY8eTLMemXc05y8GO6+kFat0qZVj7f8ri2LnWeKktMQBFu4lmzvrs8n37N2Lu+ZXCZBjoxYUreZIh+Ffv63cujF5B4pkr9kQ4GRGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoIyE9KTFJE2+MLidJh2jOVauy1iUxBrd+UrK2Khm14OpG3VWofX6v/LMNycjEVKUCL975wQ0Yo/XLQZKTPxlRUJ3ZVjYFmsSmlJrsywwusLlPJYofySpie0HgDqDWGZp9qTY5KTdwlLTSlByV0LRKO5sFv5JVQiomxbLXmKW8/fvmMRa4T1V0T/c9as4ntt8iR31UI20D91dF3arrN/6mjYve6HtADtXxUnnbAkKAMNeZyFnQvVIbcflQH/9VFbsI7+Xx3fxr1Ehq5X+0ePq3qfCtMWEpSaGgQp82l6bDHHoloLtCKW1zKrH0oKI2VKDSFB0fVMDFtVR1oiLFwtiYhZVjXWZchdHGlJqJQnJzMRVr6qCXlZzQwpSZb525BYciOfTSugLMZz1qxCiiSKdL26ITNJcU+TWBKUfnHs5/phScQarZ8b9HOCIyc1Dnc9PimkJVrKmhrfc1usvaslbbYodB1JSNkyjdzzhTE+KWxbAYTLaLsYRmYQQgghhBBCCCGkp+BkBiGEEEIIIYQQQnoKTmYQQgghhBBCCCGkp2DODNI2skoVWaUarDmLtfxMYRWqrZK61UpVkiIHhaOtMyy5pFoxK2ADFZWXRGl8U9ivWsuVida6Ngxt8JBTpvMLNFvWS4GW/4far+oyn6WrpdkOtcnVm9x0tNhuWV30q6asWTP5XR63ymLRsW2NPc/kuTCkbFtl/h6RT8O6VmrNsMxPkctV4dEXa0tRadXaGHTHqipyaFRFDoT+jVXuDqmfV/knZH6NyaqP9TXC+lVY7+ZzZPjL5PfQ/BnVzC2riD7q8XHyXegTRfZQXnv0GIuUC9KytNqvrg11sS/0OIpcG7JPOqeFlTtFbpvM3THc59bbpi1WnXwdAzqHS6Pl54aycA3VvmfKalPeS2QujFxOC/E969M5M6S1pHGOG7bNjt2z6mOMVWumjml5/6uI4ziXWwOynksRW9715PNdyM/+MrncgD7HS7YiD93OqpHrqSrOC523wpdbqqmfJxKnVYjNkWHl3Qgll6dBW4L76ol7V86KVC4X+EwYm+utF5Djo397yPHJ5fkLzGNn0Yvj1QpGZhBCCCGEEEIIIaSn4GQGIYQQQgghhBBCegrKTEjbGZeF0DiXS20NatGLtq0SXzghYIf1dXJf+KQloXIUQMtYRL0CoboyvFOGiPrCt4FyrFlDw3Wt8FzZ5SL2qz5pSZ8aA7lcqE2rpuH5DLhhuE0tnXJCxIU1q5KjND1ylOG64lzQYeayDRl2r88tIS1pSJlJLqzfH5Jvhetby/nQYf1Vads6ZTRcX1q2Aq60pH/QDet3rQfdPk2RsepChVNXNpYDhn2k0w+v5ASQshMtM6lmIuR/QIf8SvmIIZeqSstPJXGTbRjvk6SEo97n1qs1RveFz6YVcCUoFnpbKv1SfuGXzFjIY86yZnXkUTrE2gqBdmQh4rOSmWSTpox+1uen1PyIi72WmVn2q81q62sIoK4bcjlLfqKO94qoK+9BOTdgYQGeqdPdseHWss1gaV/re5ouk9KSIve0gaHWy8Xe0zT63uX7f2bIWDPPM0XW9NfTh5xjFa7Gvh5oJx0jLbGkKpoUUmHzmS7xM6J17+s1CUpOkmNJvz22rZbUvmWZ8dzSK/T+FhBCCCGEEEIIIWRCwckMQgghhBBCCCGE9BSczCCEEEIIIYQQQkhPwZwZpG1klcqY1qxl5JkI1t3V/dq0XiCnB/bWS2vhallV5vJpBGr8tPY4FF+eDCtnRiWnmRWfHe3r+O1dlRxaWYqmz5nhW8ZCb6dTZuitdS4MX56MXG4Ncdzm2kfYGEsJsZYTO5aCOas9cewK7Xuz6uZ6yKqjSRy09WNTfo88t+Tx7+QaUPkozJwZRllDnHdu7g53GXkN0bakFWHbWhkc3ebaZJUXw7AKldaeOp+D/D5Z5osw9OGagcBj3EnPoZZxcsQMqfwFIj9Fo0/Y6altcVIx6HwUnnwa+ryTGvfaFPd6KPNk1CaL49YYb62ll33WOTPkta3aH3ZM521bxb6W1qzarnNgNEdMLdCmVSPvJdp+1TlfQ3NaqHtp07BmlW3mcm04+XTkusItXOWekYeIvkz76gFuLiKd9sRrU2qkF9CpWOqe+1hoXgxruSL3NNkPX44MAKiJsgFVJper5yzd5Wdx7qqcPPJc1vkt5HIprFOtNkxLV9P2e/y5JaznTMeKNLKNUHohT4ZFqG2rhfUbqNfHZz2MzCCEEEIIIYQQQkhPwcmMElm9ejXOO+887Lnnnthiiy2w8cYbY/bs2TjttNPwxBNPjLv9oaEh/OxnP8Ppp5+O/fbbD1tttRX6+vqw2Wab4S1veQtOO+00LF++fMx2FixYgCzLgv4ef/zxcfebEEIIIYQQQggZD5SZlMTy5csxf/58/O53v3P+v2zZMixbtgzf/e53cc0112DevHlR7T/77LOYPXs2nn/++VzZSy+9hAcffBAPPvggLrroIpx77rk45ZRTotZTBqFWTGVj2RdpZHiXtk6KIVQSkoKyLWJzoW+BIW3B8p9cmHmYfMTCZ78K2NKSUEL75VpV+sNuh3LhusL+slZpucxwvUbLeoBrp2eF8lvWfU6IsmHN6shRtOWn3/XQdTMM3BU6slZ+11vZ9Nmx6uNWlmkJighrd21atYWrsH5s1fH1ZXW/DESG5KewYs1Zv4o2tcwkq49+lzatTSUzkTKC2qB7beg3JCjudo+WTVmtRyts2wJdSXPH/oBoPmfbKuUvYtuq/ercEtui7VeltKQqpCpa6mFdteVykvqglvUJO82cDMQ/QK4Frdzv/m2xsI5pS/aERmt5FODKKpzzVd9LpOWqli9Ww2QgtkTEb7nqyE6qcW3Ii4U12o7EUh+3hoW2K13x14uhDOnkUGJZpZajOGNl2LZXxXmh792OxDUnQRn93NTSVWHxGitB8UlLuklOIO+T8mivJ5BRhK63yHL6GddHit8GRdr39auwTL7kfrcDTmaUwMqVK3HIIYeMTGSccMIJOProozFlyhQsXLgQX/va1/DSSy/hqKOOwqJFi7DLLrsUXse6detGJjJ23XVXHHbYYXjrW9+KrbfeGi+99BJ+/OMf46KLLsLatWvxqU99ClOmTMFHP/pRs83tttsOt99+u1ln++23L9xXQgghhBBCCCEkJZzMKIHzzz8fy5YtAwCce+65OP3000fK9t57b8ydOxdve9vbsHr1anzqU5/CL37xi8LryLIMBx54IL785S9jr732ypXPnTsXRx55JObOnYs1a9bgjDPOwDHHHINNNtnE22ZfXx/e+MY3Fu4LIYQQQgghhBDSTpgzIzGDg4O48MILAQCzZ8/Gqaeemquz99574yMf+QgAYOHChfj1r39deD3bb789fvrTn7acyFjPW9/6Vnz84x8HMCw9+fnPf154PYQQQgghhBBCSLfByIzE3HHHHXjxxRcBAMcddxwqntwICxYswCWXXAIAuOmmm7DbbruV0p+5c+fiG9/4BgAEJQMtk6xSbZkbwZc7oQyNX4xNK5DGqrWd1qmhlG2FG5qXRNdrNEbrWRZroYTar7aqO7qM377Q0hfH5t2I0RevU1aSVj4NX56MnOZWupcam2Latopj37IG1Fasjp4bWcv/F0GPQa3m0dNXtbZe5sVwzfyk9aPzWVlENgfWjpap64nslZVDwCxzbDjjLC4bRm4DSebYi7rbUhUWrn1TdT4NmTPDn8PByueA1YPii7+P0nI1NH+GrqvPkbo4v5z8GQNuP6r9Ydsi82To/BOhlqiSRl1Zj3rykAzX9e8LidzXOQtXpyzs/mYet7kycb/WzwPyGLeeFTJ/Uh7nnJcWqzq3hlguVybv65blqpW7Q5bpPnqu01Z+odx1VHzWuY3kd8eWWLVf8dQDAHlGxty39Pd1oRau+vyMyJNhPV9Y9/ys0vTWs/Jp+Panue4EFq4WZVuxltFG6LO8bxm9XIox0Dks2p1Dw9cPeY/O/bapVIGs93NmMDIjMXfffffI5/33399bb/fdd8fUqVMBAPfcc09p/Vm3bt3IZ9/ECiGEEEIIIYQQ0kvw121ili5dOvL59a9/vbderVbDTjvtlFsmNXfeeWdQfwDg+eefx3777YfNNtsMkyZNwrbbbot3vvOd+Na3voXVq1eX1kdCCCGEEEIIIaQIlJkk5sknnwQATJ06FZtttplZd/r06ViyZAmeffZZrFu3DpMmTUralz/96U/43ve+BwCYNm0a5s6da9ZfuXKlEyWyYsUKrFixAj/96U9xzjnn4Prrr8ff/u3fRvcny4ZlJqGhXrEhZ7GkDlsrQrtD9DqFI0Gpx+1rtz0tiRi/bavEDSv1yyiscFT3//51+SzVgHgbu9AyZ91qVzRM21axmJaPyLBk6VCoQ3IdO0B/G457oeqH5SLohvXqEG7xxbF31KHk4hqlJChZVUhLJk0eLRCyEsCVoGjbVqeeiKBrqJBQGYbfGBxyykIlIinIHLtOLW0QlqWqH/1T/X20jn8vjuQEkLITGQo/kJNYhTWv68mw9vqA35rVKfPYqGpyVrgyFD5CcgLY1qxOPTU+UoKipSUSx1pW9dGVIgVKULQ8KlRKEoqOTvVJP7SFY7W1HCXXhikzMSxcpcSlgLW0D1OCYsgBLWvWQBfeYPT9yCctseSRRe531rollgSl7rFt11LSpvHcIK1ac88Uoqwu9rZuvx54AbOei0Ofmdtp6ZqzHjXqpnjeLXvbpNyjbMmJxLJwzUlc6+3bv2XCyYzEvPLKKwCAjTfeeMy662UmwPBEQsrJjGaziY997GMj/fnc5z6HKVOmtKybZRn22msvHHrooXjLW96CrbfeGmvXrsVDDz2Eyy67DIsXL8bTTz+Ngw46CHfffTfe/OY3J+snIYQQQgghhBBSFE5mJGbt2uG3cf39/WPUhDN5sWbNmqT9OPvss/Fv//ZvAIaTgH7iE5/w1v3mN7/ZMopk7733xgknnIDPfvazOPvss7Fq1Socf/zxuP/++3NJEwkhhBBCCCGEkHYxYSczhoaG0NfXN3bFMfje976HBQsWjHyfPHk4zHhgYMCzxCgyOacvaiKGq6++Gp/73OcAADNmzMA111xjJv+05DBZluGrX/0qFi9ejJ///Od44IEH8Mtf/hL77LNP8Y5VK+NyBbFCwtopsWhn6FjZ21V2+6GSIl3PLXMnzhrZaIhlrNNJ5gkXHe5j6zBQHXZrSlBkmTHxZ0lhQjOzh2Z3t7PCo+Xn3LoKKAG84cuGY4nOtJ85Za3bHm6zdXvDbYz+Qw+plNBUZOh3TmYy+j2rKpeSqpA61ITrSc29vzSNsqwm2xy9d1TU9VJKS7RswHSFiHQ38WHJWCr9Qk6j1lsRy/VPDTuYLHlEbt1rRsfHlbi4bRQ5jn3LNS03kz6/vMOVfox+rqk4/ooh05DSnmAJh5b1mLKTsDGXkijtZlIRfYxOPu7cB/xOJ45E1Aqtt2QghpTMdDqR91AtH/G5meQcS0Y/62u4lMk5kpNC1+LRz3k3KfnZL7GwZBXwDHkKGUj0PU0dL6H3Uwu53c2m/x4f+mxgylNE+1oGJtfXDBYfhZNafhH7nCkPVX1FSuEwaNH0POdrp5BQOiU50etr5XTSDLyHdDO9vwVdxiabbAJgWDYyFqtWrRr5HCJLCeG2227Dhz/8YTSbTWy99db42c9+hm222Wbc7Z544okjn2VSUUIIIYQQQgghpN1M2MiMWq2WxEVk2223db7vsMMOuPfee7Fq1Sq8+OKLZtTD+mShW221VZJ8GXfccQfe8573YHBwEJtvvjl++tOfYubMmeNuFwB23nnnkc9PP/10kjYJIYQQQgghhJAYJuxkBjC2VWkMO++8M2688UYAwLJly7DXXnu1rDc0NITly5cDAGbPnj3u9S5evBiHHnoo1q5di4033hg//vGPscsuu4y73fU0i8Q0EkIIIYQQQgghJTKhJzPKYN999x35fOedd3onM+6///4RmUlU/gnBkiVLcPDBB2PlypWYPHkybr31Vrz1rW8dV5uahx9+eOTzdtttN662LGsgX04FXaYp22LJ6WOkVk9qfrNYDbGg9HwaJWgSQ+1vZb1GQ1n+VZqinrIUFGWZLCuQW8OXJ8OyX83l3XCWg7eeRJdZ+UCGPNrgeqPirTcw5KpO5ff+mrD8bCqbSWMeM1SG7LgSGraBusyXJ0PbBDrjbexq8zDw6NuHVyg083VtzTp6fGZ9oxF2Wf9kt56wam3WVIJomXugf7T9+tqxcy+N9stv2xpj1Rqai8GiovJSWQ8ctQR2spk8MFaO5jLRx8uAJ1/M8PfAXB6iXj4fhXGN8mxnQ3WkNlkc78r+Vh4j8l4SfW8y7Pli8mcAbu6UGJvW4XWL+4UulPf8yJwwTZ+tqsqL4eTJqKpcOI69q3q2EbvUOV7UMebmwvDbCIe+VLKuc7Y1a1g9ndvIteH2592w8OXJKGY33treNXS9sejbRaUpx9SfF0PbHjdEfjBp09rU4yj6nMvJIT6HXlKLPD+XaeVpPtMW+D0QivtMHvY8atmehqKX6aRt6/A/25vDowyYMyMxc+bMwaabbgoAuPLKK703nyuuuGLk8+GHHx69vkceeQQHHXQQXnjhBfT19eHGG2/EnDlzotvzcckll4x83n///ZO3TwghhBBCCCGEhMLJjMT09/fj5JNPBgAsXboU559/fq7OokWLcNlllwEYnhjYY489cnUef/xxZFmGLMu8kxNPPPEEDjjgAPz5z39GtVrFNddcg3nz5hXq769+9Sv86U9/8pY3m0189rOfxX/8x38AAP7mb/5m3JEkhBBCCCGEEELIeKDMpAROP/10/OAHP8AjjzyCM844A4899hiOPvpoTJkyBQsXLsTZZ5+NoaEhTJkyBRdccEHUOp5//nkccMABI0lETz31VLz+9a/Hf/3Xf3mX2XzzzbH99ts7//vJT36Cc845BwcffDAOPPBA7Lzzzthss82wbt06LFmyBJdddhkWL14MANhoo43wne98x7SatKhUqqhUqi2tgYpStgSlSPuh60oRFhfaRhkSkdSyFsd+tZ4+hDAUyx7VqmfZr/qkJTmpSuS5JAm3qgsrG1SxqZNqoxvTMMKccyGtnl2oh1tatWo5gE9aosOXXQtXv/VrMDktTMVb1pRWrZVRaUM2ybXbljKTbN1at0zUlfWknAAAssFB+JAhsznZg1HmI2v433WEWm1qSUFWH/1eVdsWYx+r7UAzfQCt//8aV3ZTFRKrAX1eJEgPJbdFy0ekNWuM/AdQlqhCzqHlKLFSIV+/rP7m9rX4Lm1a9X4P7qO+t/rutfr/TRFK3nT7793VOd2AkL9q+1VRpq+x8pss08oG+TVXJiUX0sJVr8uRtMBLXsrXWj6iTyXTGjvBfcxHKvtVWTYUKS1xLFelJERbrIpuVWru8eLYgWtpaU3asba2adXL6cumtGq1ZNuhlCkrAcL7mJN3RKwr/1wvJGLG/cfqYzfatnZSkt8pOJlRAptssgluu+02zJs3D48++iguvfRSXHrppU6dV73qVbj66qux6667Rq3joYcewqOPPjry/dxzz8W5555rLnPcccc58pb1rFu3DrfccgtuueUW77KvfvWrcc0117SMIiGEEEIIIYQQQtoJJzNKYubMmXjwwQdx8cUX44YbbsBjjz2GgYEBTJ8+HfPmzcMpp5yCHXfcsdPdxIc//GFsvfXWWLRoEZYsWYK//OUveP7551Gr1TBt2jS85S1vwaGHHopjjz0WkydPHrtBQgghhBBCCCGkZDiZUSJTp07FGWecgTPOOKPwsjNmzDAzV8+ZMyeJXeqOO+6Ik046CSeddNK42yKEEEIIIYQQQtoBJzNI27E0YVI7FmrhCpSfq8JHJy2WNKF5MtqZuyMWJ5+GGmOpJW1k7oSetGNtZuOf7LPyafjsVwF/ngydI8PKp5GCmJwZOmfAoPjHYEVplKXePfKQyAwtti9PhqX71sMo24jOUeLYLyrNfybyWIjzIqu5Fo7SqjWb5LdtlfUqymLVyZWgcg00jDwWMtdBqAY6l8dGXF/qor0ieRlkG3qpFA8jMmeGk7NBJQCoD4z2v6LyaTScHAXuyeAeZ2HHks4zIXNmNOT1yqinccax0jo3xXA9f46SUHxWsmMhj0/XPtbd81Vh36vtXWNyVeWO26AWxsCwX7WunbIsNC+GHm15CDp5N1Q91/oVUVSM49uyxvZdp3VuoyJWrT4s+1UrZ8aQ735XoA0fedt2kRdD57sQ46gtV2UeDsf6veHWc5ZT/c2MsjIpkoshNE+Gdf7LK0XoFSprRFpXN8J+e6SwbS2bVmPazhx1ZUE3E0IIIYQQQgghhPQUnMwghBBCCCGEEEJIT0GZCWkbWaXaMpzJCtOSxAW7xlkRmdZGdb8UJrxPYTZQFta6Y8PGYpZLIa3JWWZV/WGIDREqKMM5LRq5UEy5biNMU6Bt1Kwyn7TEqmeF5MaG58oweW1H5wu11farDY81oC6zlrOCva1Nc6Q8gfarOgQ6M8Kj3VDqwJDcirZmFLfR6ujnrK5C/vtGLVyllER/d6xZlWygKmw462sH3DYC5R6WhatFJpZzLO0MOYrZnqoney+3WksPHPmC2mbfOaplJkNCWqLtXBsDo9tTTeHTqmg4kp9my89FyIzxqE3u95ZlHhlIEULtdF15lNrvQv6irYilbAux9xnpk6n6K61aQ0dfSzgsu1SnzJCByMV0LjTZY9d+1b+uBvS1uHUbFtb9SJ9nFc+9qox7moVlueqVVbZRigGoZwPDclXatOr3zpa9qzzEHQtX+OURsaS2+YyVj4dKTlLIKfL2rmltW7tJut5LMDKDEEIIIYQQQgghPQUnMwghhBBCCCGEENJTUGZCOo4v9KtIyJYjS9Bhzx0K0+qUw8pYxK47NNwtSSif4VxjLiflEkKCkuVCSccf4qodTHxYjiWxmd9rSbLCj47JwNBocOZAzQ3U7BPrmlRzN3rQyeSvw56LZ9fXBhFyMyue/wP+bPqAu6dzGfplOHYzUsjm2LGM3lKbVcPNZN1at2ySlJmIz4OulKTSN/q9KiQEAFAflNIJdXAOIghLdtL0OJhY8pYiMjzL6SQG18nD7YfjFKDKpASlPqiclDxSEC1VSYGUo1iOIta+kN9rkyeFLxcpOwnB6mNFOwAZTidetPRF3ocjbT6axsW+acjw5DVQ7kItJakb8hFnXZD1/OvSTcS6m0gspxMp++sT+2mgEisODsOSiIS6d1nL6XpakupD3vP1bSXUpUQ6m+hDv2pJCsW9vCllLDk5rSGlLtmFI4X0O6qNSFm4RYzTi2zi1gAAjftJREFUSTe6nPQ6jMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8GcGaRrsTR91iycpdLU+TRS0wi0mW0n5jiWbOFaRm4QqUNsKs1pI/PkyVDdcNz6MldLGjPDq3NhOJaikVZ1oTZ2oRZ3lobYrCe+DipReL3a9JY1aq1tWxvKji7UGc8Z0wJlVccKT4vJRR6IxpD4fwGRudTTy89a6CzyacgcGQCQDY3mwnByawy5yS6qk0dzbTREjgwAqAob14aydM1kPo26tFV1r5ZWbgYHUa9i5UBQi5l20h4deL4NafOp1y3OmT5ZL/PWkzkydN36gLLhFcd4w7BSlW1YOUXcvBjh+nzffczaF7ofVcO2VeeuECvw9gmhOnCjDZkjAwBQE3lh9HI1N2dMFPL8N2xaZVnDuEPoXBjyq5XTou5cH3Wbo5+l5apt76rK0PpaHItlcW3lL+oXOZdknqZc3cjHNCvfRUzOjDJw8mno54Zm1rqe2mdxeTfUfRd+S9HUxLZv2Z76ni312Vlu1haXUNtW/dzNHBrjh5EZhBBCCCGEEEII6Sk4mUEIIYQQQgghhJCegjIT0jayrFLQZjPc2tQK4ZKEhpxZcpQy7J3aSdkWq9ZyMW2GhhfabSgJhPiuQ9CbhjwlFB3SOdJcpMxEW7G6y41/TtoKwXUlIm6ZtGbNlYmw+boYx2aCKfRC1qyiX46UBHD1RrL/2k8v0La16ZOcAK7MRFtQipB5x6ZVyUykBKU6WclMBkbr1rUEZVBYxkopiaonaWqLSw+6VsUpG/KWhUpOtATCsYitGBKXvtF1a/mFtGOt9rn9kDau9QH32iO/1wfDxkdfXyqGTMaHtS8sO105PqYlar8re5ISqazPkHMklhHm7FfleaHPGXH8OPeE2Ouhcy3wj6m2JbVkGz7pR87GWsoelcjFkZkESknyEpTWFrGt+hKDPMQrkdJJeY+rao/uEiliv9qIkKDo20CzLsvUtaHRWoKSKSmJPMTDpSrally2UeC5vGSp9njRz4fu/ai9+Gxb9TNtakl6imfmXoORGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpmDODdC2pdF7B+TSkvq3kvBhlWGGl6HOKfBfttG3VGtasInTDMp9Dxa3n6EUNzbDThlqX1sL7CLVVNTXEgdrjXL3MXyYxLe2k3lqNldRiDxrLDQrNf78yT5Va3lD5dmZoqrX9qmu5qlSz8py3NPOOl29gPg0tlpZ9rir9v5MnQ9i0DqqcGZOmjDah8mnUpoxup7ZtbQwIa1Zp06pzSYjvdbWdVm4GZ12yPVXWrIa14eRzyFncjn5v5PJAiDwKRm4KN2eGsiztH/2ubVvrnnwaTcOmVVPpl3kshL498HoChOczkeTyi8jvukwcZ06uCnXNzuW4GC/6nlCR+1Nbs472S/YxV8+6zwTmwrGwnLGbnnxDVt4KnZbBsnSVWO03Aq/hobatOm+Ikyej4c99EWNFHmo9Pha+e1xsjgy5b602NO69y2+56st9odcdm3dDXpytZ7HQ3HVl27taefJCLVy7xbbV2hYSByMzCCGEEEIIIYQQ0lNwMoMQQgghhBBCCCE9BWUmZIMgheVnqD1SwwgJS22xVDaxspKyJSde271ENJ0wU781q5Sn5ELmI2IUrZBZ237VLeuvVYPqpaBuSG0ahjxFWrM2av5QaSvEutEM256KEbrrSkRUCKpPWqItXEVYfxa643PWrH7bVidM3mPTCgDZgPgu5CiAKzupDSiZiZCWSImClo44tqd1vyVqyP+BFmG8ol+VfvfxI1QmJ+UjVW1tKhQRzb7R9ut9yiJWyHe0VEJas8rPgLJmHRjduvqge1xZshNHWiLDwJXMRIePh9AIlAINty+uscp+NfNIOKRVKqD2mSU5SXANz90jnH75pTC58zCESGtms0nxWduvyute3ra1tXxES0Isi9UYCYq+nseg5SgpZCbSirxaGX8fNfKeFipBtdqw0PIROeZy7HL2qw15DVH98khVqjW3Yn1o9EDI90Osy5KgdKFNa6gcBeicbaslhaHkJA5GZhBCCCGEEEIIIaSn4GQGIYQQQgghhBBCegrKTEhXkSI7us70nkKCIuk1KUkRYqQlRca3DMmIxJGIZCLjtwr7bGZhIaKO64kOHa2GlVmEh91WjLKw7PFFZCw+dPS8dDCpaQmKdDOpt/6s+6Xbb3oy+eejf0X/cyHi4jjIuZl4nE70NcR0OvG0b4SmN7XMxAn5FyH+Q8r1pN8vM5HSiepkV1ZRFWVSitBQchQZNpyToDQq3jK3jTDZSabbr0g3Kf99wCwT54l0TtHLSAlKpc8d44YYq0rfgCobHS9HcjLobktjICxUWEpLLGeZ5K4hwyto/Vl/l7InNVZSEpVzRLHaj0G3X23dviM/Ge6I+Jz5ywIxjJSisa5t8jSRrlA5mYkRJ2+7mcg2/M4moa4nUh6hDXrkfaZfyR4GhOyhFnhP08iyUJlMqCQE8EtLTNeTAvoFKS2T68o5lpj369bHdF0JKWQbTSXnDH1Ok/eLbnXooNPJxICRGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoIyE7LBYYXkSglKCsmDFQJWdvu59QW6AQS3V7bTidHfsuUoEh0iKiOPnbBS1SU307kbplkkdNWHm7XdkIhkoVKVuPhoK/RYosukBEWGNg8qCUd/0x/u2vB9zrme+F1nHCyXAnlt0G4mThx4AQmKDx3eLr/LsP7aoFttkl9mkon+19R1w+dgomUmDVmv4d+WOoQ7SqTkJCdjqbbuo+WSoa/1UqrhyDaU8kC2r11VGgNhEhQ5dvVBNY5CZqIdRnyh6jqU3HE9qWoJR7nvoWT7jrOUdjMRsictQTFlLOPsUw5nXe7+bIrvzap65A2VmRjXvcxyUgpEupuEyju0XM9yhXLqGXJAtz17udSEu5n4y6Q8xb06huNIGyMdS6zbgOWQIpHXg4q+bckyo323DeXaJl1PVJl0PqmrW6HTR3FtsJxNUkgnUsgtesHppAiUoIzCyAxCCCGEEEIIIYT0FJzMIIQQQgghhBBCSE/ByQxCCCGEEEIIIYT0FMyZQXqSIjkVXF3c+PNpWDq7FLj9CJ9v9GkWU/Uxxpo1RV6MNLlHlE644rdtlfkv5HK5NmQuCVUW0+VQyznAnydD15tUC8y7UWDdEkenrcZAaqylvrtR89erV3TZ6Gep8S1Dve3kydC6ZiGCztm7+nJmFPPkEx9lrgdlhSmtWidNcctkjguVT6M6NJrroTbgz3dh5cmQ6DwQThuWR6TRhrRqlTatDZ0vou6/Pso8GTrPRGg/KsK2tarKHGtW8bk6MOivp+1vA8e4KvqhbVudPBaB21kIJweFODaV7amTJ0Pn05B1HXvUAvc0Udc85y371Yp/3c3Ifnm7odbtfg27aunTR15jZZm2WHWusUZeBp0Lw5szw8itkWsjMJ9GTH6nYpblzZb19PfY/B++7YzNkRGbW8tn4Qq4x6AcnqYeD+Nddl3Y5Gob2IZIHhZs4dqluR1ibFvLzp+h7w+hfZzoMDKDEEIIIYQQQgghPQUnMwghhBBCCCGEENJTUGZCeobYkKqJHoqVC/FLYpMXJi1JISWxynQIpLY3jMFx68z8obtyJjinPHBCg+NCSWPs6WoFpCShYb2xBFsKit2bC7GuyDLRnuqjbLJWxLbSF/Kv7VcdCYohM5HL6P8HygssS0vHGrNfyzTEea5kJhVRVpPWrEqa1mf0UcpHpPxCyyh8y4yFrCttWmNx7UUNOUoByYyUllSkXGeyK7GwbFulHDBUcqItYh0JSqW4tKYQlsWq+K4lKNIiVdqjmjIQRTNG+mHYHjeVbavsvyk5EX3OAq01c92KWsp/HbXsqS0piXU/strw1StSJom+p4l90V9z91NdnE+h7Wv5Rd3acEEK+9UU6Gce57lE9KOqx0pISTJliS6fq7RdutN+Eglwd0hQQm1b9RWpk7at3TJ23QAjMwghhBBCCCGEENJTcDKDEEIIIYQQQgghPQVlJoT8D+EOJmGOKPH9KHeOsSG2Ra8pRpKjHUtiJCNF1qulJePFcimpVP1Zw53vRvdlvVjJiUUtQkpilVn1KjpEXKCjc+V397PKwi/OmX745SN1Ee6q25BfdWi6dhjwIhoJdizRdeX5b4UahzqdaJmJlBvozOayrH+yWybDr4WzSd9Uv5uJdvkIlYxYspMYco4rFfFdKRt85GQm4hpb7QtsBEBVSESkY0lDSUkak8V4G24mjcCxsmQyzmd176ikdj3R9yZHguI+TkpJR9PnbKK/G7KSKMlJrn33WuDITqpSCmP1Q4XdCyli7K2p4lz3LCcS/71EXisHtQtPCvlIw9+G235aWaW+H0lpiV6XdDepVZRELHDnyPtFM9CBJpVjiX7G8CHvww11qMo2nHufcgqT8pRKQ58XYvzVU2JdCCuC3Uw8Tnu6DUs2YclAysDXL92Psp1OQn97+JaZKDAygxBCCCGEEEIIIT0FJzMIIYQQQgghhBDSU1BmQjY4Jrp7yXiwwuliSOVS4i5nlImwStlGrMuJFT4qwzl1vVAJSj1SghIjEbHCdc02QmUaBsFZ+LWUp9JaWlJXYbE+1xMAqFhh7DJs04rMbMrM74ZLiaN38QedmjIWWU+FlTYtpxMpLVFyNykzkfIU/QCQRCYn5AxaRqGlK2ViyS+q/X0t67WqK6mI8WmKNrQUpuGRo+jvUo5SxPlF9lk6m1T6a956ZnvGNtvXcOEUos+tamsJSs5RxJCBOE4ksTITid5O2WZoHxXWZVteSqU0IN9acWmGloT4XE8AVxaSW86Qj1jrc9sX6w5sz8K6Hzmyyiz8fucry8lPEkhBQ6UlobKSIjjyEfF/fWl3ToWa//iuQ99LxDhKyY+hmNNSZIn1zNktcglLCtMtTify3h0qmd+QYGQGIYQQQgghhBBCegpOZhBCCCGEEEIIIaSn4GQGIYQQQgghhBBCegrmzCAbBGXnyfC1b+nnLEJ1a0W2q4w2U+PoCyPzYjj1EuRzCCVn4VpprRPW3xslW7NKyrBmlVrvqhruqlHmI2cp2Gj9WX+XFnTaks9pI6exlpaLg06ZUzP0WNLiY2np2jCEw5Yda6hVqyDTlqLi/HesMKHzadRbfwZQM64hoTkdLLPRrO7PEeHL75Cz9RM5IsqwwtZ5J3x1rXXLXCG6niyTuTV0vdDxdvNn9HnLKn1qu1JYgMt7icor0fTlqtG6eHl+WjktrJwZkfk0YvoY6TwaTO40CJS41wOtUwfr/lwbTnuRdqNWfo4Y29bYe1p/zd2HcnysNmSepmYzfT6N0DwZKfJpOM9Rqj3ncId/DDI1Bm6ejNFrlH6ea4hkYamfi602i9i7xvTFyuuRwrZV5xdpOveIuHwXY+XTyFLkI+owvb8FhBBCCCGEEEIImVBwMoMQQgghhBBCCCE9BWUmZELRSYlFatvTFP3Q4bTeeii3z6F2q5pQqYrZfqRtq0SHhErVQNOwHrWsWVNLUoJlJtruTtoLGhKUUCxLwUEVat8nQlxl+LIO/5VletwaInS9qo9hR4JiCSQMnJ0dKSXxhI/mpAyy/3oZIS3JrHBUo0y+3ajqfREhexha674vaQyMynya1dD24q47jkxDKXIc21bDmjWr9bsLyjL5fzVWFbmYGu/GkBgDQ3Yj970lObEsaKVkRl+/nXHNnRetx7zQvpC2qpbtaVXKTNwyrwwECJeFBYZQW+tqQF6H1LXesJ32dkk70JaslnRkj4b0I9ZWNVSqEmtF7iNegiKkEvq+K58blAW4vP+F9r+IXCS1tES2l5OByEtKRUtQxDiqd97SqtVt029M2kzw7NhuGXVqabkzOmqZRmP8UhJJvo9h8shehpEZhBBCCCGEEEII6Sk4mUEIIYQQQgghhJCegjIT0nF0aGz69ouHnVnhtDK7cCflIpqYvjRUOFouDF8QI5PJZXcOlX6IuNtY1xOrLEoeobOBy+9qOGTosQz11GGkMlR1KFcmwwH9mdkl0W4mYjz6tJQkUoIS7G7S9IdANxyJjgjxreixEp9VP2T7FRXGngl3EyvM3Mr2nfnkI/r/Db9zRTCWRExel7Q8QjJpsr9MtF9RLiK+hwWfC0nL5sW1vj4YKetJTF5mIuUXqqxPjGvo9VZfY+VxIMdYHxNG6LHv+NH3UmdblMMNav5tcSUogfs3p53wLKfbsyQool/NnMxEhE5H6jR85hr6OtSEX0oivzdz16/ifdL3pph7lcaR4ek+eqQlsU4klvwiRlpi3bdquXtO2P2uFnhfbKoyKW/M5D2oofdRuY4lPlmPhX4ecpw2tJpRFOorTUVuq5DrYEjJ5MRYVWvueV1PcOlPIceIwXr2DZWg6HoVUa8TIpCyf4O1g97fAkIIIYQQQgghhEwoOJlRIqtXr8Z5552HPffcE1tssQU23nhjzJ49G6eddhqeeOKJcbd/xx13IMuyoL8vfvGLY7Y3NDSESy65BG9729uw1VZbYcqUKZg5cyY+9rGP4eGHHx53fwkhhBBCCCGEkBRQZlISy5cvx/z58/G73/3O+f+yZcuwbNkyfPe738U111yDefPmdaiHLs8//zzmz5+Pe++91/n/8uXLsXz5clxxxRX49re/jb/7u7+LXkdWqXRVOFNslvzQ5Zr1uKzHnQqf0+sODaeLHUeJdixJLS3RobopHEwkVriok0m+gJuJrx6AnKxlvFQMWY8M3c2FQFf8ZSmQ8pFmpfX/AaAuVp3PoD/6uVZzB06GtWfSVaE+6NSzHBFk+HvWEPGzljSghHNcnof6SHLlBkJeYEgbrCu1fHCwZCYVVTZUGfAuJx07Gg2ZMV9JJwrIWqIQY+XISgBkUqrhyFEi7yXyONDHi3A9sdxpHNmjdS2u+bcld18OlpZESFDUMo58pOI/Pxuuf4wTaq/lHW69sC466y3QniPNKL4qAEDo7ci6Fsfik5ZYTiS5NgIHObUEReNIJ5taPiJdrZotl9HftWRRuptYziayTB8TMdKSGFnJeHBOSXXe+aQlWpIjXVDqahSk7KSXJSca/cwcI832e8KUQ7eM3XjhZEYJrFy5EocccsjIRMYJJ5yAo48+GlOmTMHChQvxta99DS+99BKOOuooLFq0CLvsssu413n55Zdjjz328Jb/1V/9lbesXq/jiCOOGJnIOOKII3DCCSdgiy22wL333ouvfOUr+Mtf/oKPfvSj2H777fHOd75z3P0lhBBCCCGEEEJi4WRGCZx//vlYtmwZAODcc8/F6aefPlK29957Y+7cuXjb296G1atX41Of+hR+8YtfjHudr3nNa/DGN74xatmrrroKd911FwDg4x//OC6++OKRsj333BPvete7sNtuu+Hll1/GJz/5STz88MOo1XjoEEIIIYQQQgjpDPxFmpjBwUFceOGFAIDZs2fj1FNPzdXZe++98ZGPfASXXHIJFi5ciF//+tfYbbfd2t3VEc477zwAwOabbz7yWTJz5kyceeaZOPPMM/Hoo4/illtuwZFHHll4PVmliqxS7cmwprJdS1I7pKSQfoRmZi7SBnS2+gC0JCTGpaSINMWSuIQi5SQVYeuhw5dDw251PV+Z1V4unFZmfs9a/x9wx7Sv6i/T7iUVT0i0FR6t5SMNEQ7cgAyBVvVktn6VWb7uyFN0OLA4po1wdzRkmQoElce4E0Jf99dr9zVQSici7/o+QYElHcy7a/jdTBoDo98rQmbSVAeFlJmY6w6Uo5gSC30cOOMoJCeGe0yoM5Y+JjLL/UaGL3tbV2jHErmduv9yOxPIaUwcVxJ3X0hpiSV7sCL3YwL0zfa0G4hT5q8bKxUIlZbI6/tgpGSj3ix+zzHbK9CPJPc0KTNR94F+IY+QTmGTau4xJ9en25dSCq+zCYBmgst72dIS+dyTkzbIg1ptm5SdyPGoqlaktMQqS/1s3U2/L1Jsm+M6M+7WWtNNroyxdE8Cgw2EO+64Ay+++CIA4LjjjsvpfdezYMGCkc833XRTG3rWmkcffXQkuef73vc+bLTRRi3rdUt/CSGEEEIIIYQQTmYk5u677x75vP/++3vr7b777pg6dSoA4J577im9Xz5C+7vNNttg1qxZADrbX0IIIYQQQgghhDKTxCxdunTk8+tf/3pvvVqthp122glLlixxlonlM5/5DJ544gn85S9/wdSpUzFjxgzMmTMHJ5100sgkxHj6u778kUcewZNPPolVq1aNTMYUpRdCmpJIPXpgO4vgy8wc69piIUMgi8hKfHXNNnIyFvHZcPkIpRkYG5girDcWy5VEykcKlckQ1ASJ92XUreUoYLmZ6Oz0NSl7qkqXD5ViXYauKqlUlo0/rFWfQyFY8gVd5jt6CklOxHkt34I01bocpxMVmVgRdbO165yyhpCFNOp+mYlES0m0e0qr9bbqVzAeV5isr89bz7oeWqeFc73VodOODCfu+HOOkZrbf1dC43FwAZQ0q+Iv830GTKeThiV78FwPLBmIRWxUv7Vu2UdZotcl2wg1KdESCK1qC8UnZyhyP0pxfyr7HifxOZsAWo6itlM+l3icTQD3nq9Pi3ZuZyyOG4s+gcR4mfLdplEmxq4qxzuBs4lFGRKUUNc/a5lQ15NQpxOr/db1ez+uofe3oMt48sknAQBTp07FZpttZtadPn06AODZZ5/FunXrzLpjsWjRIjz99NMYHBzEiy++iN/85je44IILMHv2bHzxi1/0Wo2t7y8A7LDDDkH9bTabeOqpp8bVX0IIIYQQQgghJBZGZiTmlVdeAQBsvPHGY9aVkQ0rV67EpEmTCq9v2223xRFHHIF9990Xr33ta1Gr1fDEE0/g1ltvxVVXXYXBwUF86UtfwsDAAM4++2xvf0P6rPtLCCGEEEIIIYR0Ak5mJGbt2rUAgP5+f3bz9cjJizVr1hRe1x577IE//vGP6FMhrm95y1vw7ne/GyeeeCIOOuggvPTSSzjnnHPw3ve+F7vuumvL/ob0ebz9zSqVliFU3ZR9OIROykdixqqM/oaGxZWBlDOEOp1YEhEd9VwmTRVi2jRCd4ecMjegUEophkqWo1QMuYjjZqLGuM8jXTFdVYx9IcOhmyqEtdls/RlQEhQ9xtKpxXFtULfGioh/LRAmH0Uurrc11p7WMhP53VzOeiLwhaKq87/iSCxWqX5UWn4GgPrA4MjnhnA60TKTnLOHbL/ibz8Gy43FGWPtFCKkGVnOKSTQZcU6DhynE+mIEpfvPqsZMhkpDVJ91+4j46WZ6fPa71jiOBg5chTVpqEfSe0OkJePtO5/wzgLdRuWg4mvnr5Oy++D8JPCXcsi5v4Ue0/L3Weare9Bul7NKJPffc4mgOtuop1NLGmGfj4IIWYZje6T1aYrvR39vz6XpINJXZW60pJGy/8Pl3m7EYz1rFr283TZz8ZVKfcW29IouF1Z1vuS+AkrMxkaGkKWZeP+u+KKK5x2J0+eDAAYGBgYsw9SWjJlypTC2zB16tTcRIZkzz33xMUXXwxg+Ia+/rNkfX+Bsfs83v4SQgghhBBCCCEpmLCTGWWxySabAAiTYaxaNfrWKkSWEsP73vc+bLrppgCAO++8M1e+vr/A2H1uR38JIYQQQgghhJCxmLAyk1qtlsRFZNttt3W+77DDDrj33nuxatUqvPjii2YS0PXJN7faaquofBkh1Go1zJo1C/fddx+efvrpXLlM+vnUU09h2rRp3rbW9zfLsjGThbYiy6pd7fBhZp0P7HclsJ4OA2vnuJS9LiusryHCF3PZ2BNTcRxR/PUyI4zXbSNM0lKERmDobqzTiVkv8DCQ4cuWY0mfGg+ftKSM3S7DtutqM2XY+ZAOvxadcZxNtMykKr7XjTJLflVptKwXjZYUiJjfnMNQtbVsIHfkSBmFUeb+X2+nX35RFbKTSp87jpW1o5GBUmYi5SeALTORWJITR+6iJSKGS4xDxWgj0OnEdT3xX6Ry2yyPM8//gXCnk9w2y35JCUpVbYu4sGrJSdMoC8VxClFlPmmJdjNyXZAMeUdMB8fAdTpp/bnVdx/yMK4k0sj4ZCyh9xWrbhmyx1iXr6rnflRV5510N+nXsge5bo+zCeA+N2g3M7m62PFJIS0JRUt05TOLY2ak7hhys6vqvbmUnfgkJ3rdjdAHFgMtK+mW3yOp+xHqejJC6D2vi5mwkxnA2FakMey888648cYbAQDLli3DXnvt1bLe0NAQli9fDgCYPXt28n5ILM3ozjvvPPJ52bJluZwakmXLlgEYdjWJtWUlhBBCCCGEEELGC2Umidl3331HPreSdazn/vvvH5Ft7LPPPqX1Z2hoCI888ggAYLvttsuVh/Z3xYoVI+2U2V9CCCGEEEIIIWQsOJmRmDlz5ozkqLjyyiu9UREycejhhx9eWn+uu+46vPzyywCA/fffP1c+a9askciQ66+/HqtXr27ZTrv6SwghhBBCCCGEjMWElpmUQX9/P04++WScddZZWLp0Kc4//3ycfvrpTp1FixbhsssuAzA8wbDHHnvk2nn88cfxmte8ZqTOHXfc4ZS/8MIL+O1vf4s5c+Z4+7J48WJ88pOfBDCcF+BjH/tYy3qnnXYaPvKRj+C///u/ccYZZ+Bb3/qWU758+XJ87WtfAwDstNNO8ZMZ1Wq4Hhm9YdkamiMj1XKpreRSkNMhSk1+CRrFzMhjEZMnw7ZtNdZlWMTGkCJnRqxlnkTb+lmE5tOQw1PN/OMYakOorQ2lNV7OwtHzGXDHx7Fp1bkBGsIjziqTFq5N9/aaVYSdJgKJvQZqC02RO8GXP0Oj+5g1PHWNnBNN3Q+Z12NgrVMmrw2NodE8GTq3hmXb6vZjdF26jWDbVisfiPP/iv+7smZ1clDIi5RxwTLPCinKVwJ9K5+GidxOmftC55KJsSXOWRuL9o0TQ5/Xbg6KZsv/A24ODasNZ10lZNBwc3eEr8/K8yGR1219HXXstVV+h0GxbiuPVYz9atk5M2KxrFndPEpumcyhIfvRVPXk/UjatAKuVav13OCkWApNqpKIzMn54a7byWMhLzdqO2UODX2VrohjsCHzbuTGQ14r3FbKyKHRLopYxKZ4ZvaP4vp19H5cAyczSuD000/HD37wAzzyyCM444wz8Nhjj+Hoo4/GlClTsHDhQpx99tkYGhrClClTcMEFF0St46WXXsLcuXOxyy674N3vfjd22203bLvttqhWq3jiiSdw66234qqrrsLg4PBD4WmnnYbdd9+9ZVvHHXccLr/8cvznf/4nLr74YqxYsQInnHACNt98cyxevBhnnXUWXn75ZVQqFVx00UWo1XjYEEIIIYQQQgjpHPxVWgKbbLIJbrvtNsybNw+PPvooLr30Ulx66aVOnVe96lW4+uqrzYSbISxZsgRLlizxllerVXzuc5/D5z//ebPOzTffjHnz5uG+++7DjTfeOJLEdD39/f341re+hXe9613j6i8hhBBCCCGEEDJeOJlREjNnzsSDDz6Iiy++GDfccAMee+wxDAwMYPr06Zg3bx5OOeUU7LjjjtHtb7fddrjhhhuwaNEiLF68GE8//TSee+45rF27Fptuuile97rXYc6cOTj++OMxY8aMMdubNm0afvnLX+I73/kOrrnmGixduhSrVq3Cdttth3e84x045ZRT8IY3vCG6vwBQqfWhUus3Q6qccGgjvKrssKwUlNGP3g8GG0WGL2ZFtA0RaPtVy3LVWS6xj2hDhWzqEFQfQ5bMpOkP6zUlKDL82rGcc9ctbxK5kFxjeHzSkrwcpXW9VnVDyIWZy21T7dXFV2npWstZswqpgJSVAEDDU9bU+1qUKekB6mswbqyQ2dAwUscqVF2/ZPuGLWnTsR7V8gu/bav8XhkctWmt1FxrVilB0TITn+wkZ80q+xUqJdEYY+VIeXJjMHpsOZaluX4E7jPLqtYKT9eekT4cKYwKp68adsbWcRCI5cQmkVuirVnlIZGXp4kya6iMMusSFSpjCbWPTUHu+iu+yjOtiHV6qOwxNfq+GENeZlIRn5veutq2VSLvp5aMVRM6XpYMJDX6Gajp2bbcZUiMnbZthRw7aceqx9SxavUbjqaQnGhSSFBCfwO08zdL7qitVN3nmx6FkxklMnXqVJxxxhk444wzCi87Y8YM80be39+P97znPXjPe94zni461Go1nHTSSTjppJOStUkIIYQQQgghhKRmQ3rRSwghhBBCCCGEkAkAIzNI26hkVVQq1WhHjlAJikURNxUflhNJ6rCyFG4g7ZbkWPvJ6YsOS06AGxHtdyyxXEoklswh1FUl5P+tsEJO6yKmsy7SgZtyFMvpJMFhkJegtJaWaCOJPhHWa0lQHNcTFbbqbIoaYrnVOtpNSktkOPqQ6kefPI51SGZ9qHWZDuNvjB7v0tlkeDnhAOIsU3K2dev8N+QXTv/1NTVSZiJdPqTTSXPIlZlICQpUme9al7vOyW3p6/OWhbuZWGOgroEeaYkj2QDs66PPOcSSjuiyUJmJtV4pmck5nbR2ammqNvR3H/rcled8qFOIViE5y4l6hZQeEVH+lpRksK6vUf7+S9xrrLofOQ4m/nVrmZ9TJtqMlY+kkIVYlO10It1N6pYjiiFBkfIIfQr6nkUq+lbSZncTiU/iop9tQp1OvJKTsco8Hh2xkhP53Ar4n407KXGP/t0j7zOq/81GfYNwM+n9LSCEEEIIIYQQQsiEgpEZpG1klQqyStVI45OG3AxrgmiMFMTMqnYymWk7163fujnJQRMn4RwL+YYrNDloLvLDacO/LlnPSuQVmtizUAJQJ4no6P/LeOvji7DQ33XUhrMvApON6uR6VfEWSL30RFVGZng+A0C1Ovr2vqLfzMhknlbkkYhmyKr6DdTo9wyjkQdNnVUtNFLDSrIsPlsRCxo3aaZ4095QERZG1ENzUCTvrKkyEY3hjKn8P1QEh4rMyMR26/uAU69qRIg4yU1V4lAnsWdgVIu+AMgoBSOBphPpkGsj4pqYIhmoxkhg6mybJ0pDE3vtkcvpJuT3XHJgmQTZiIBo55twncA0xbpltJqOXHPuXeKeUCQBqA8rUtCinqAfaaI0Kup7637lk4iK+7pOoNmUzwYqYkGUmWekuEFZCTrLxkpEGpUc1EoAGpwc1F1ZqkiN9ZTxXBz7GyVFtPp4l+0WGJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpKDMhbSOrVFuGM1U9yWkaBZLfyeV6QVbSi2FdKZKPyjYaiUNaLXQopiMRyfxlZnJQWS8m7HsM7ASgaWUmViizG37t1utzxtFdruJLABqY5BNwo+llOGqR4baSg8rtkW3qMPO6KMuqrjwia4wmAG3KMivhoirLajIpnJSqGNfAFMlBdRtOkk8jeacgf10QY2C0r5ODOknKakKOoqUq64TsRMlM5PocyYmKczYTnkmJS06G01pqk98WQ1YhDzQpOcnJkqpGWZhsw8GSkuTiwEXzYjkzWWfuePEkB9Unr2xTJ++0lDGB8gvZhpagyWubTLxZhtQjFCvJZ8ORxfjLiuBL1Jyrl/geHSM5aQdWolNZ5ksGmmtDP3uIZKxanipPUXk66X7I/dTJZKASS+4SmhxUJ/aOSw7qF7LHSk4klnwxlFS/UZK104O/RzSMzCCEEEIIIYQQQkhPwckMQgghhBBCCCGE9BSUmZC2Uan1oVLrb+lz3LK++p7a9cQiNOyqSHhWGW12irY6nagQy2YW5nSiQxt9mBIUy80k0LGkEihbscqCQ3JVyKnMJj+gwjT7RZimXC4XYu3oNIK6YWKFMuuiGGlJLlRVoENyHTcZw81Efq9WtWvDqAwiM6QkEHIU6V6i62bK5cOpNjjgLUsiOwkl0J1ClzlOJ9rNREpGxHZmQ6qekIE0h9zxkG4pPsnJmDhuLP3+MvnZCPfNSTN8EhFVz5FmVLXMREg4QmUmBpkhQWmGOp3o/nucTrRkpumcg+WGzOfcTMSm1T2SE8AO5dfXSx9aXhdK3SMtiZVf5O5pUu4pXU+M+5Hl3hHbr9BxbCf5MaiIMr9Mtl87bwiMKzjkU25d3C7M5xx9m5GqrTZLdCRRTifa3SXG6UTLURI4nYTK2IMdtCKxnrvHI7U3ZZc9Qu9vASGEEEIIIYQQQiYUnMwghBBCCCGEEEJIT0GZCWkfWWs3k1CsmTcrENYnY+kmfOMyUSUnZTudWFIHH9qxxImiDpSP6Das5UK3uy7iNOuNiior7nSiQ6z7RJM63FpWjY1oLSI7GV0mrF4RZP91uLsMRx9S6+qrCimCXE7KSgCgIeupK1ZVyEyk5CTXSeHQocvKxiOJMGUORlmm4qOlS4yUoDS1Y4kpQREuKPK6r+8BhnuH61LiXtscaYzjzKJdTwJlJx4pRr4fSprhcwexpB4WlpQkVGai8R0juo/GNUR+De2Fdixx2/fLR3yfAb/UAwiXVQwaZ2z4td7qY1ATOXzX37zrVNbycxm028EkBp+ziVVPf29qB5CmlKQKl4+mW886F+RltRslJ4Df6SR3WY5xOrHkKOpXhBzjurpdh5LaSTH2eXpcz+FZ9//OGAtGZhBCCCGEEEIIIaSn4GQGIYQQQgghhBBCegrKTEjbyKrVQmFYOmxKhnNp6YiTr1iVdaNUw+pTsOtJYFbldm+/7FfounUIZFYdfxhrrFSl4pGF5E0JAl1KRBtaVpIFhu7qMulSIv0WQqUkVpkViq1Dma0s/z6qahxlNLPlRCKHoIjribXrZfebIgy8ofoht7uixrEqNqgqj/eq64TRbBhOJ44LinDr0R2uSQmKcvLQdduFPjECNT9NnUle7gwho5DyE0BJUFRccibcTXzOJsPLSQlKoOQEQCacVLI+j+QEsN1eQiU6lmOJxx2kmemwdX/zbp+UnMazC7NIx4mmxzUIcCUcWt4VGhkfe+w7Lk4eZxPAld6lknc47XscRSysa3ESpxN9nQu8P1nyC6tfvrJUkpMypTFW23XL+UU/DzTEODpyCf81Spf45CSW1KPd+J6Xcg6GMU4n2s3EKJPtV5U8JVZ2IgmVuKd4Rg92OtHSyUoVlT6/g1qvwMgMQgghhBBCCCGE9BSczCCEEEIIIYQQQkhPQZkJaRtZpdIyFErKEqQ8ItaFJHSGTstRzDY7JFWJzY6cIqtyt6DDIRsi3DBTZU0RphmaoNmUiBiOJZZLicSSoxSRlkhk+G5sGK5cbkCEX/brcEsry78hY2k4YaFhIb6WRMSSo6RwM5HoUHhHgqIyy8vxkZKIipKSZM0wmUnT838AyEQ0qN7rWcXv3uHIzqqGC0cgtjwi0umk2drRpdlQfRTynUw7xki3kZpfZiIdUYrgGzvH5QRQMhPj4LQkJ4bTSdNZzn8tcNxAEkSVW5H61inYNNxAmoaMrelIUNyySI8VLw2jj6FSuxSSiEakHMKUcER0y3KZshw6UhAjR9HoPqXYN26bYTIQ3Q99f5XIq1Jd3JP1s4e8LVT0ZVTUdZxN1Akkn0U6KTmR6OcjVz6uKvucTiw3E6NMty9lJ/K5smGMlf7NklriXYbTSS+4PYbAyAxCCCGEEEIIIYT0FJzMIIQQQgghhBBCSE9BmQlpG1ml2hZnjVAXlDKkI2WEgaVoPwW+cLRudIvpND5pSaysxMLMpC5CS4cC3UxychHxfVDFK/dVZGi2zvLvy07vftfuJhKftKSIY0noqMpuZarrcn06ZFu6m8h1ZcrNxLVO8ctMMs//AaApVBWZTkBeH2xZD4g8R0OX0Q4agU4euTLZhtxu3Q0pLWmqwrp4pDHkKFn/ZNGedjoJEzA40hK1LdJhJBcH7pOg6Hq+ZdR359zVTiGizAokt6LMU5xbFpYUpmGURRqrjBtLapfC6STGIaod+BxLitSrGvJIqyyGWDlKarSji7Vu+V3KRZpK2lgVlxftuuF1ClGXtbKPM0u+6yPnaiclM6quz+kk54iWwOlErjzXj9wNqjWxco6Ye3fRZTaEZ3hGZhBCCCGEEEIIIaSn4GQGIYQQQgghhBBCegrKTEjbyLJ0MpNQKUksZWcltoh2MOmSULFu6UcsPmcSHTYp61lOJzHhuUWWC0WH3YbKTAbF9z4jjDqf5V9+bl/otDVSOkN/qAuKoxCBHgMhfxFFel2VqrQi8ctMrP/LFnNSEs/n4WYCpRNFpA5hDXq/m+4dFlLCocetMtS6rK6uSdKBRktQnHrGuJnbIsPF1WOWT2qjpSqWDEe2b7hpyHOyqc5BuWWhp6d1vqR4M6ZHW0rSdP+d5ZztHH8/rHG0ro/Wdc5yQXDqBV7rLbeRFP2oquYbge4m1n3LceHSbiNikEMlJ/XA65qmWmkt04qlmrtuhvVLj4EzXobrSV20n1Xc/lfFmVg3+uE4nRgnbzudTopIU9wui+NFbXOs04l0ypPOMvpC53ra+H+XlP1cPB6JexZq/dfFMDKDEEIIIYQQQgghPQUjM0jbqFQyVCpZcMKcXPRFJW30hSb1LGrZbcSWpehL6Phb/dDRDDHotwbyrZN8sZmr5ySMUm3Kt7aBKe70G4XQN1W+ZfR3nUQsdaSGFZkhE3nqpJ7yDeCgyuzZ57xdE8uoN0lOcjMr2aDMlajqya/WG8vQN8v5t9j+5KOZ561tro/iXMiqKnuniABw1my8Yc1FXwz5yzLnNVyCa6c8ucwEl0a0gb42eCIRdIRCJscqF5nhidqoqDAWpw13X2Q6o14IFWM7jeSgoclS9RjIw8KJSlDdcqI2jMgpK2rDwnob5otwK4Ldf5Hc1Hh53IC8to27S4WiHnwJQK02Ksa2SKo6S3Eg1jiGUnYUYdlYER35KIvy0GPVL6IDBkQ0gI7gyBpivFVEgYwiqIh7q3XoW8lB9bNNOyM1JKFRG1V1VWpY54kYu0yfu2LE5BjXdRLRiOSgqX6/hD7nj/WsneJZvNMwMoMQQgghhBBCCCE9BSczCCGEEEIIIYQQ0lNQZkLajhXSFCpBiSVGKtFNxEhLygghi91Pvr4USfzkhDnqLGUR5MImQxOwBUpGYmUmteDl0s5JW4lCdRj1oIhZ7lPx0TJUtREoVXEkJ4lInbRQR2XLhKB1IfCoGOG4NSUzqQjZg5Pks0CCO2e5uk5mJjUojv5KNWIlnUxwnAVLUIx6Vvtye+TYNfwJQM0kolb7FlIikksAKvVSlswk85a554w8z9wmrMSVckusJIjWeNvJdo3CCLQcQm6blJIUiYIPlViY0pJAKYy+7vmw6lXFMWFtZ2xy0FAsmUlovVyZkE7U7bPcS0wyT92P1BKUWNmNXK5fSUkGxGctewh93guVnejjpcizWlGKHLeh/QjdY3o8fIlUtaxHPj/mk4/61lXu75wNQTZSFEZmEEIIIYQQQgghpKfgZAYhhBBCCCGEEEJ6CspMSNvIKtmYoWHW7JoVmuXIRyqufETKSZr18UtLLHlKOx1GYp1CUoQJyhDI2OzWZYYrtpsUoaSWY0lq9xKrzJKZDKqyPiPEetCzXJ8OFxeRmVXD6cQpUcMhw1NTyEqKODHIwNKKMx6qDem0o9dX7W/dD/U9+EzLlFSiLlqSrk2hsolc+2K/FHDhMJeriseRUDmK7pbjYCIdS9Sjjk+OAriSFCsk3xo7p//KDaDSejvtcVRteKQlOVcSR4rh4pzzWjrlc+FQR2DFFJqI4906JwNPNX35cpRC1m7qjPkCAFcyoiV6br2w9ixnBnnPD5W0lIEpJTHud9KxoyqunTHSkSJY7YdKULT8RH7Xy4Tey7WDia+NZq6e7Iu4Bmo1XaVVrfV1pSuX234KmZLTj8B7bagExXquNN2XVKE0tfJJTjSWk4q8NudcTxIc46HSklbjsyE8izMygxBCCCGEEEIIIT0FIzNI29FvPZsxs6oqqVqKmU0rOaj8niLCInWUBhCXXLPIG2j/isffRJJ+wH2j0BQJxfQbLcdTvIRcTKEJQK0kn6FJP2MTjA6JMZBxAVZkhn7jJ78P1d03FvLNkhv54farUZFvL/RbINH/yEPEfBsTcdzl8sXKMpmz0bgkWWU1T5TG8HLiTZu/CWRG0sxMHDvRkWqxSWd9ST5VmS96Yfi7f581fSdzLmurSLiqXlk2ZbJU/TrT82Y210bgdsLYTtmG7r4TjSH/r/rVdBKFumUyGiBfFpZQMzRRo/XiL/bSL/vcMLalG7EShVrI7dRvquui0QR5sYOjRYDw+11wWcNfLzZSI3S5que+1aovo/UiI9wC+2GWqYSUQ0MyIk2Mo/q1JyMP9CVKRnvoyNuKk4S2O042M2rDuFU59261C+V4+aI0ADtSw9t+xV+vDDaEyIuxYGQGIYQQQgghhBBCegpOZhBCCCGEEEIIIaSnoMyEtI0sax3WHRzqHRouliBRaK8TKy2J86dW0oCIMNAiCUtTh8zpMErZ/0qKeF1BkSSflqd9cFhv4LkVmxx0UMQi96nuyhBUNxmoG5bZ1/SHrcowWZl8MFNylAwyxLpkWZWB7H4+BN9Iaif2mwyZrViSE71up1CPj6gnZRRK2hCaELRpJOi0knd661nLKUmeuW4f1nY1VLJUKf1QyznjEyj5yeGV02TeeqHk5Cjyc+7cGv2s5WMNo8xanw87Ka91vvqX8607vy3Nlp/HWi4G3X7Dkej568l1hyaktPrbsO7xJV8DLWIkkdWm/57ZIpXiyKcUchRL4pIiKXdsG/1CWjIw5Jd3WokrM5lsu6HuF0a/fMlBi0hOYo7B0Oc+UxYT+BsCcGUhPskJ4I5xU+lH5Zhbkhbrt01Mgv0iz8hZlkVL/boJRmYQQgghhBBCCCGkp+BkBiGEEEIIIYQQQnoKykxI24mTMngTyf9Po6Mfdeie42oRGXqYVYU8xXAAsKQqloOJbD81sbKSWDlH1ciEHUq3ZF8OjLo3CQ6nzXnVhy4XN1Za8rKeUMkJYIdwS2lJn+GOYElVqj6nk+44PABoh4HRzzmHCNdTxN+IoE/tI1N2IuUL9QFvPSlfyJTEoumRUVhtWC4cOn61aUgnfMvllhHfG8aBII/HSmZce2tuWSZ3nB4D3/gUkSjIMZH7LDeOfllSM9BtxFlGfZeyLd2GlDC4riHa6Shs3ZKq2p3yvMiFn0fcPqw+5tyY0ptQBJHvR5jMJFiCogbOkqeEShFDse5NVv/l/Sh4OxO42FlYbiapJSex7ehlfBKUTElJqqJeXUlVLHmKj0oJ51LMc6DpiKj7KGTE0lUNcB3v5PhYrjAa3zhakpYciUMOypbadgpGZhBCCCGEEEIIIaSnYGQGaRtZJYuOygDsKILQmc2YRKFAe5ODWhEcKZDjWChRUBujJczZdSvBY0ySqMDhzkWZROym2Dc4+eSg4u2XMR4pIjjMN4Uyyad6zSmjCmTZoOqHUy+XHHR0kGU39ItwGbSRe0keml84sJ71MtAXpQGEJwe1ViDz0daKJAeV0RhDAy3/P/wP8SbPikoITeyp61WMssA2ZDRGLqmlrBeYxFIj91um3vdUxLXZCbDIHZCBrymdyAz/W2x9SLjngr+eG1XhL8t1X3yXkVNW4srQBICVhnG9UmOQIlllaALQsjGTj0ZGY/jqFUpc2cZXmnbCa09Sa3W8yGtnfjuL92koMFpkuP3W67YiOFJgtVc3ypzlau6OltEG+tlaRm1VmrpsFPlMpJ+9YqNyYwhNWFokakMmCzWjWJx80ep4kREd4kSzokDyCem9XXau/RYbajSGhJEZhBBCCCGEEEII6Sk4mUEIIYQQQgghhJCegjIT0nFSyBespJMyTCsTcdqZCvVKkSg0NWVLTvLrC9sXweG/VRWiGBHmm0RWYmgPdJ+yQAlK6mMkNOwWcMOxQxOF6pDZGAmKDqd1EtepqXGZALTWbP1//b1P7QsZ4i63uaFkGpkIhVWHnBMWm+Js0kPlOwysw0O/RfAlB82F6hr7yZKdeCUdKnuZTAjabBrvOizJiZW80+qTJxmmll/I866uhscnuShypsq16eGWXXHlKC5WwlEf+noiv+nrlyOnMeoFr1uNkE+aoWVgMqw//Nru1pPX98Fc4srW9Yog+6VlCA1DolMmRWQlMUkui8geykhk6WvPWpfvXqVlFNWmdb9zhcQ+QsdUS1B8SUoLyXoCCZWxWO37koECQNNZLpeSMqiPPskJ4D6bhUpOypA9x/6+kLITn+QEcLdNJ0v1yVMsSUuuH7KeHuME8pFKJeuahPvjgZEZhBBCCCGEEEII6SkYmUHajjULWMYMoS9qI5dYx5MoFLCThbYTGamhkzbJsZMztlY9ixQREZqq9dY5kCi7rsgZbPdNZ9jbrSJoO1a3zJ/k0/c2Rv/fZ79aBlZywCHxSlS/abOTg8q38CKRl0q0JYdR90OOnX5z3anEWLmAC/FZRmlYL7tzLyjl8VKb5BbVB8VyIhlo5lq4NuUrInWBdBOCBl4P9fFtWJFqG9eRejr6winTx9zoZ1+STMB+72i94QmPzBDHaoJrj45Akdcb6xiR54KuZ12yfHamVmSDTrIafkkUyQZzUU9Zy3rDdYuPq3WNsuqFkiJhqUUKK9Kyk1VaxEQb5CI4xLXftKAtwSpURmpYVrKpk4NakR+h9/jcekXUwNCQ8TAcEaUBhCfeLBvbOKB4clAriqKq7h4yUkNGaeSiesX4h0ZpaEIjhcdjwtDNMDKDEEIIIYQQQgghPQUnMwghhBBCCCGEENJTUGZSIqtXr8bFF1+MG264AY899hgGBgYwffp0zJ8/HyeffDJe/epXj6v9mPDVVgnCFixYgCuvvDJo+T/84Q+YMWNG4fUCw/1tFcqVQvYgw0KD29NteBKFDrcpfaDjEoU2G/Wgeu1M+qnHKkZaEhtCGJMgaqz1yRA6K/dgDHpfW7spJhw4RaIwK8mntVxoQjEzOZ0aDydRo9gXOgFon5kctCHqSbmISgoppRkq6D9QKVQ6VnLGhuyYlEfo/srxMTKR6jXVqn0jnzN5YujzvTH6SCCTgQJAU8pMmoEx3PokrBiPHE6/REiuIV/Qp5n8Xo+VWPiLlHxE/F/Vc2R+WfFrARAuk3HGQ7XhJgr19yM/Pq0TgOp9Ic9XfW2IlWpIKmaiY788JRTneCkhA6gT0h3YvplkObKPoQkpQ+sVuUeEtuFbt76nSZlieDJQIFQuoZN+htTL9bGNyUFD6VeJK52EoKpMyk70vVbWlLcBPdzWaMdIjIOf6wuMjSlB8aw70+ensaVSdiLrVfSDiBx/JfmxZCeSiR6ZwMmMkli+fDnmz5+P3/3ud87/ly1bhmXLluG73/0urrnmGsybN69tfZo1a1bb1kUIIYQQQgghhJQFJzNKYOXKlTjkkENGJjJOOOEEHH300ZgyZQoWLlyIr33ta3jppZdw1FFHYdGiRdhll12i1vPQQw+NWefKK6/E+eefDwA47rjjzLrbbbcdbr/9drPO9ttvH97BcVIkmVZo3Ybz8k9FX8g3m4a9q5UoVL55TGHd2W5rVnfdkYlDY942qGWsseuWBEahNogp3viF2tgVeZuWOvGbTqZXEW90zLe7IlNbXy456GjdwYp8E6sSeYpoqdxbcrGcjmaryH6JtyUphqaITaavbsMIJdHnSCNrPd7D30c/98kkwlV3tLJMWLOqqAonUiMyMsNpU13bvHas2pZURlyo1TU90Ri5qAFnmRb99mBFY3jrZf6yUKzIEt8263pWm1YUhS8Z6HCZ/7yuB7ZvIcdOR21VnTEe/wnrJjMdd3M5rCiTFParsZRpzVoEX9JM07JcJYKWCUHzY5ykmy0JtXBt1a/xUkZ0hxP9Yia1FP93A/ncpNwJbFvLIDOSg/ueM/VhJMenqZ5LnLES9RpWtF5N33fF9V0tlyL6DehcIvSUcDKjBM4//3wsW7YMAHDuuefi9NNPHynbe++9MXfuXLztbW/D6tWr8alPfQq/+MUvotbzxje+ccw6d911F4Dhg/UDH/iAWbevry+oTUIIIYQQQgghpJNMdJlNcgYHB3HhhRcCAGbPno1TTz01V2fvvffGRz7yEQDAwoUL8etf/7qUvvzud7/D4sWLAQBz5swZd44OQgghhBBCCCGkG2BkRmLuuOMOvPjiiwCGZR2VXBKiYRYsWIBLLrkEAHDTTTdht912S96X73//+yOfx5KYtBMzgWNEAsoiVIxQw3B/ZxHOrcK+ZKhaPv3U+CUj3SKxsPqRIvFmilDM2NA5Gfbo+JAb7YWGShYJDa4a6/NJS2KTtoW2EYsMT8/JI4QMJJ8cVJaJBFp1FXosJRZKfFAXcpeKGn4ZpSzPTr2bUg9JcMRzTmIx+jl3PMokxar/vqNO5TlG1ZcodPgfrTtiSU6si0GufRGuK5tXi5kJQMVnRwKh2pBlhQJ1PZX14SGPl9xu8jRtXl+MBKCOnMY4XopEJOt2RtZrJArV0oxBT1x/vORESRHFIFvnpz7GfViymDKSg8Zg9SO0j2XLHlJg9cmRcGgJSnBC0LTJQK3ldHJQSey+kNtSbzRUWeD+FHKGAZV0st8ok5JOeTGrql+TUnbi+RkEoMC90CD0udi6xoY+LxZJdOpPABqO1b78PWP9fumklKddMDIjMXfffffI5/33399bb/fdd8fUqVMBAPfcc0/yfjSbTVx99dUAgKlTp+LII49Mvg5CCCGEEEIIIaQTMDIjMUuXLh35/PrXv95br1arYaeddsKSJUucZVJxxx134I9//CMA4IgjjsDGG2885jLPP/889ttvPzz00ENYs2YNtthiC+yyyy449NBD8Xd/93fYaKONxtWnrNLamtUXjVEkEiN51EZVvwVqnRzUsnfVhdXESY9SbLPVZmj75svXLkkspGfuU4ydsw9V0E34WzLjgElAO6M2cm+ZRNSS3My62kzrjahMACrb61MhFvJNcqaSwsk3KfqNc1W8U2+K1+76uLUcUUMxreoCLwfSNjRTYQJNUZjbT57jUb/IlLWqmXtQO8lCRTRGpiMz5Hfj4qATjMqknzJ6x05i6Y9E8EVpAO52WokBLTvTnL2eIBPHai4BqK+92OOq6R8r2X+rzByDwIMzn3S2ddRGimSgVjtWBEcoZgREl7zkTBGlUaT98KiB8SektPpv3Y+qnqiBfPtRXUxC6oSr2oJWPlOEtq8jXNz2VZmI2qjLqI1coJ086d02nAjmSuvrfipCn0Gt51jnlqaTiMtEp0b7TgJQHSI6FHZAhkZp5JYb49GyjN8S7YaRGYl58sknAQxHQ2y22WZm3enTpwMAnn32Waxbty5pP6TE5EMf+lDQMitXrsQ999yDl156CQMDA1ixYgV++tOf4pOf/CRmzZqFX/7yl0n7SAghhBBCCCGExMDIjMS88sorABAUCbFeZgIMTyRMmjQpSR9Wr16NG2+8EQCwww474O1vf7tZP8sy7LXXXjj00EPxlre8BVtvvTXWrl2Lhx56CJdddhkWL16Mp59+GgcddBDuvvtuvPnNb07ST0IIIYQQQgghJAZOZiRm7dq1AID+/v4x68rJizVr1iTrw8033zwyqfKBD3zAm4R0Pd/85jdbRpHsvffeOOGEE/DZz34WZ599NlatWoXjjz8e999//7jkAyk84WPDoqzlLO/r0EQ7vkShgAqhi0zWY/Y/YlyL7IuKI0EJW2+3JCwtGys8MjYxW2i+WDPsNkJaUk4C0NHPOjx8SMT8DupkieLY8iUDBdyEoEZeTGRKV5F5pCUV1UdZliIS1oq0Dw7D10k+PTINAGh4EqQ2cnIaUabDtGUEt5CgZBX3QM0C+99U6/Yl/cxJSWR/VZtys60kojLMXEtJHKmKsSl1S4JiJgBtfaxqCZR1Gvr6lUv8aiQAjTkG9TVKntdWmXNcFZBwyGNO7yeffCRUjjJct3UbsVKYThIqO9HXd1kWK4EIlYjEtKeR7evkmlIuUVcHk3ufLJ4MFIhLCKqXqUXIaYrgSw5qtTep5l7s1wnZQ78qcxKC+iQnAKpGmZadrGeMnyrJCU1Wb9YT21JV8vSmePiQY5CThMgxNiQnuh8yyaqFKUHpwWtdKyaszGRoaAhZlo3774orrnDanTx5MgBgYGBgzD5IacmUKVOSbVtRiYklh8myDF/96ldxwAEHAAAeeOAByk0IIYQQQgghhHQURmYkZpNNNgEwLBsZi1WrVo18DpGlhPCnP/0JP//5zwEAe+yxB2bPnp2k3RNPPHGk3TvvvBP77LNP4TYqWTZmJEBo5ESu7cRvk+1EPiKCI9Nvi1onCgXcmcOGmcknoIMIj4jQ41Z2sh/btrU7IjVkP/QxmaKPvjcu+i2NFb8l39RWjWSDoRSJ2oipp5H9l2OcewPdlGVuG/KtgS8Z6HD7oydUX9ONFJBDnn/7Lc5lf74yJ1KjiIVmKHI7Y9+TOElQc1Eb4rN8W18x6un2xWeZC9RKcGld7/UbeifiwoiOKJIQ1NuGkfzSTSLqX5lrk+uWyeNYJwq1koO69fxlIX0C1DjqyAYncWi5b+fkvrbO8dxyRrd0Dr316GtDw7jW+yxoLXKJTgPf1jtRJpn/WmxFToRSdnLQUMqI8gtOVp27iPva0Ak069hQiLVwtcp8tq1NtYxcXVVFd8goBSu5Zsz91LRfLfD6PvQ3hXWPcKI2xBjkrhmeaBddpn83SDvcpliXdU3K/S4J+F3WC0zYyYxarZbERWTbbbd1vu+www649957sWrVKrz44otm1MP6ZKFbbbVVsnwZV199Ner14YtxaOLPEHbeeeeRz08//XSydgkhhBBCCCGEkKJM2MkMwLZOjWXnnXceSb65bNky7LXXXi3rDQ0NYfny5QCQLHoCAK666ioAQF9fH4455phk7ca+cZT4rFmt+j7st/+FutW6ff0mPNA+KjS3hp75lrOlZtSGQTvzU4TbXbU3KqQb6eRbstTWrCnI53PwvyEeFK/N5duDqn67IF73DqpXtvJQrTT1W0/ZiD8SxnH8a6PG1I5C8Jfp07PpsejM5ZwwImjkm+Wm5//D6zaicALzQDSNSBWnLBdxIdvz17NySbhRG9a56y1yqFbyb8LW4xybptVr2LqsY6LIYSu3zYpesKI7fBEX+v9m+9a91nMw6agHOfw6aiOkvSJ9KpvY3BShuR5C8zmkoIyoDaf/ueQprdcda0Ebkz9DL5fL+eFps90WrjKHxjojh4OznIooGDIiChw71sDIBo28D4wnh1+rPqVaztk2sS253CBWzgxRlum8RI41roj4088v3h7+T7sbwHP5hM2ZURb77rvvyOc777zTW+/+++8fkZnESDZa8Zvf/AZLliwBAMyfPx9bbrllknYB4OGHHx75vN122yVrlxBCCCGEEEIIKcqEjswogzlz5mDTTTfFSy+9hCuvvBJnnHFGy1lDmTj08MMPT7JumfjzuOOOS9Lmei655JKRz/vvv3/StiVlR2MEz+D6BLlwZz31jKfsv55FbRpvoN32x08ZM62+Mdb7xRkDa392iU4vdqzkG7pMHS8+R5qyozRiM9CnbkMjj/eqoVsfVIJ6eYzINvRYyVw12umkKkKk8hFXMs+EOG7V2yLnnDc22cqR77pkhOWLMB0nrDdauUiE1tEA+jiVgSv69Ax1RKmI65weqlA1um88htftL/O1obFySbjuDno5mfsh7Hwd1Dpn6Zojo42MCA69MTGRGrmIiMDoC0lsbg3H9cTIOaHzaZhtOjl0RHv63JVvgXPHqnhD72lvzH4YY5yC1E4hFrHRBqHEbEu8q4cRbdjMjHr+q7jPSaXscdO4URX+J0Y7AiUsn4aOHpH48mf8z4IjH4dy0R2tx1hHPclnzqZqIkU0Riixz4juVraO0gBUpIaVM0M7jPkcY/S9xPjNAjAyg7Sgv78fJ598MgBg6dKlOP/883N1Fi1ahMsuuwzA8MTAHnvskavz+OOPjzimzJkzZ8z11ut1XHvttQCALbfcEvPnzw/q769+9Sv86U9/8pY3m0189rOfxX/8x38AAP7mb/4mWSQJIYQQQgghhBASAyMzSuD000/HD37wAzzyyCM444wz8Nhjj+Hoo4/GlClTsHDhQpx99tkYGhrClClTcMEFFyRZ5+23344VK1YAAI455hj09fUFLfeTn/wE55xzDg4++GAceOCB2HnnnbHZZpth3bp1WLJkCS677DIsXrwYALDRRhvhO9/5TltnRAkhhBBCCCGEEA0nM0pgk002wW233YZ58+bh0UcfxaWXXopLL73UqfOqV70KV199NXbdddck65QSk6IuJuvWrcMtt9yCW265xVvn1a9+Na655pqWUSShFE0AGr2ewMkWM3GPaZ0qwlFziTxFG1YTOnxZxEjJMfLJFYoQHSJXwr7ySUu6KczNsW0t0aa1UFnVWy0JKRKAhtbToeRWeKBrzdo6GSjgJgStqBVUHStMFcbq2MLKMr0t/uRasiuRuXuDkaGqhRI6iuVk75sqIapMxqpD7UPtXd2klros7BiRyd0suY5OTO3KKsTnQItVwJVf5BLSihtDaAJQTcMjYayo0GOfHEVTNU4gq4+hyTtjb0EyZNySX6SQacg+5uxXxQoa2tJZJkh2JG1u+6bFcAJpSYw1a6yFazutWS3KSAAqsZJrVjP/eLvLuN9TS360PMUn6YhNUhq+THhy0Jj2dTLWiveb/4Klr+FaduLDkqDb0vXxH5/Os6SzYree+XvDSgAqxktKTvTvBlmvVaLpDeEFNSczSmLmzJl48MEHcfHFF+OGG27AY489hoGBAUyfPh3z5s3DKaecgh133DHJul5++WX827/9G4Bhh5YiEw4f/vCHsfXWW2PRokVYsmQJ/vKXv+D5559HrVbDtGnT8Ja3vAWHHnoojj32WEyePDlJfwkhhBBCCCGEkPGQNVN4bhLi4amnnsL06dMBAK8/6Ur0v2paknat2VY9y1imZalOWOTYBlpvxfRyjWbLz9ZbHytqIzTxpmWdmk/sKT5n/noVMUOs32j5+tVNkRm+40UfV3I8qippU1W8Lq2Jsn5Vb6P+qrdsSv/oXHN/NWw53YZ8W2KVhfx/rLJcXc9sfy6qQnztU9vZJxORibI+1Y/JYtsmqe10yqpuiEt/rfWbWf222ynTOUQj3mqEJgDVyRJ9kQeaIratEjmsev9lTpn4bLx1y12LjQSjPvKRE/6oDSd5p1hOvwGVb1x1wliZhFaX+aI2QhNoamKjL3x1fecc0CLxppNQF96yQTF2g6qiLFurkvwNibpWG1ZkRt3pY1zCSGtMKp7z2npmKDLGEnnPH9THo1hOJ1KU3+UYhNYD3OO/jETTMqIg9P6R20+hkX2B0Yy63jrfOOrj0RjjeqN1G9Z4F8EXmWGNVWgC0CK42+YfH/lZb7N1PMoy53lXJ/Y2QstSWCTHRGbERjFYP7XtMfCXyeXq9dZjOlb7zWYTAy8/h6UXHwcAePLJJ7HDDjt4+9qtMAEoIYQQQgghhBBCegrKTEjbyCqtIypSaN9iZktTRAPkuyR0t1l+BnR0OaVV97VvRXcETkWWbYEaO46xNrztJHOiWNyyFH2UbzP6VZmVM8NaLgbrjVlwGwmOM/1msyISNVQMHb9802nnzPDbtsqTuaJyScgWtb1o05OPwkK/owm1Y3XaMOoVsW112/Rfv2R0gKzXVA3KMdARBXbESOvR02+0Gk6Zquspy9u7xuZmaP12PfZt96DoRy7CReZiafrLnP4ZluIaKzeILyJC57tJ8ZbfinCx3n77sPIL2Nc2kQ8hdw0RXwq8Aoy1nXXWHZinITafQ5k5NOx8FHGRNrF4ox5Urpq6cU7KnV9v+I2mY21bZV3LEtUdO22rOv531O526/bCHth1ngxf+3IU9Zp0TieJk2kjcIxjn9nKz8PX8uOY/XByZshj09hHub3Z2DByZjAygxBCCCGEEEIIIT0FIzNI28iyrPUMYIG3SbItH7EZilPnbWg1AzpaqN5Ay/eZoh+WRs6K2rBIEpGSeqx0fo4NYKa4KKYW2HIDMN5eps4YnyL6QuO8sdR6UREdIM+fus7FIPXoOqIgMGrDaU/HWEgHIyOqKnVAkd7t1gsoy+kk1HFBvgjTm9KsiygluV9UPTl2VtRGLp+OJ1rC6no+D4T4HOhgomXZdSOXhC9iIR/Z4F21F92GHJ9B+M9rK4IjFGscO0msE1ToMr6ojfx1LjBqIwFlu5mkoIy8G47bSGSUSej9bsizLgCoGueQr49WvRSUfl8P3BfDhLmPyNxV61TuEZm/y8mtofslow3UxdjrFBJJ2a5/wVEbOgJY1tP3AU80RlW704wRqZEgmKfjbACbQAghhBBCCCGEkIkEIzNI26hUWs9Omlqy4LYjshIHOn5YhOatANwZbp1tWL6BDs2toftvuZv40G3IcdQ5IlLkJfG5pVhtW7lS2klsNIoVORH75rGdb+FSRGPE5m2Rb4ydPBa5LOejB0lVRT1J9wS9C6uimUpWFZ91aIOMnNJvR0QkFeJw8jsE5nPQ9dwcEfo4C+uHqxdXffREbciIjeHlWkfTAO71LFNjXPG1b/RXnwZys32f823oqAR/xEXDM8Y6EqPhieCwaOSuL+LYV+ePbF+WFbkfWfiiTkIjfFKsd6yymBwawW+01TjK65AVtVE2MfkzgDh3DSsaUI9B6kiNqH1WACsfhZNDQ7taeXNJhF/5Y51OYrDGMY1rWdgYxK5LRmpkDaNPMp9TyeMbG/lttik+534PGfk05DOAlTNDljXVfbeORle5CcbSJT8TCCGEEEIIIYQQQsJgZAZpG5VqBZVaJTdz6ptRszIUl5EXw3p77FvOzFtR9b9Ny7Uj64Xm1lAkCHBJQgr3FBmN0S3OJposMLIklEKRGNXWZWVHbJTtjGPhnj8qoki6TKgwBBlxMRjsdKJfycmO+PNpuO/twsfKF41hRR7k6/pzPViOET4GVRvybaw8DvqU0468fukxqHrGCvBnrteHXGgODSt/hnUtlmNnumuYkTDF82mY9wcdmeHNmRHeRui6rfwfVtSGXK5uRLFYxEa1xbRvuZ4439v8CjCFm0ktsI1Q9Hkhrw1lRmnostg2JTpSwqmnr4GeNkIj34B4pxMf+fEWuRNKSIbgH3+/64nMnwG4OTR8+TNyqDbqoq7z/JVok9uZt83O/yEi73I5vhriU+soDcDOmVFFpZTjpN30/hYQQgghhBBCCCFkQsHIDNI2KlmGSpaZul7HrSPRG3lvVEVEJEZsPcCN4tBj4LzlF2MQmlsDKPYmOCWxejs5863zYpShS+w16kaK6xi9eOgbrjIcS2JxorOM64bldOJGariN+J1O/MLVTN81G/KNrvx33Fs3M/rCcCxx6uXekoflPZBDpXNmePM0qIiK2KiNzImSEQUFhlEeLlbODCv6wm6/dV19boXm03D/71+vPlV9+2JQLedzPSlCTP6PIhQZf28bEddDIE0+BjfPTGfyZwB2foSyXTh8OUXKcD2JXc7XFyt/hnW8uGPqj0qw2tTrDo3USJFTJEUb9nL+fBq+MS/Sj6bH9U9HVOjn5NRYz6Mx46odXST5RyDxXCKiHutD/pwZLaM0NoBnakZmEEIIIYQQQgghpKdgZAZpH5UMWSXL5ZlIlYE9rAvpc23EUFVvJWUEhjUeVtZjkRrAnI1uiuUspxDbYSQya3PEcjlHlC6KHFhP2Xk9rJwZ8m1OtYQ3p6FUjSEI1cnrerJNK0ojvdOJ/01bVZ+gzkkp86ioaoGHiC+6IF9P5xAIqyvrWVEaDeMVkSMr13l9jKiNPrFDdYoMJxjDkz8DcMc1NIqlmGNJ67wbufYD80UMGTsm9LyoqigfX84Mq4/WvS/0bX1o/o924HvTnjqXBlAgn4Yi9M1saJ9Dc0lYZWXkaXDWbTq/jH9dvvUWIXi/5EKiQtsQb8LVhTQ0t0lqYqOSQq8N4VEaQL/85SmjCFReDCuHhtw31k8Iyy1RPie387kyOppGfff9Hqga+UVa5dPYEKKdGZlBCCGEEEIIIYSQnoKRGaRtZP8TmaGxcklIQv2jU+S7MF1PYmcxPRq/XLXA8dCzu050h5Vdu+JftzU7nSKqIrTtUKeQXnA6CX2zkcuqbrmbBOrYQ90AfG/WAKDPyHRtRWOE1kvxdjfW6UTO51s5M6QmWjuiSGRAgY6+Ck14LzdFu3AEu5kYURuhziZ2Dgf5tl7nzBBtqGtNXdTVb21l1IbMQ6AjCqxDzhk7w90lFsehw+Nsklt3YM4MC70v5LA6jjzqWuMEM6mBc6KeAk9C09mk5KiwQm5PgWW+eu3MfRFLbM4M/fY/Nt9IUFl4KgkvRXJ8hEbJxETC5MqM6LHQfVEGbvtxziYpojZs/NGSklxkjMDngpJzSzSeu0OjMUKfM1NEaRUZUxmpYUVty0iNVvk0qjpBVg/S+1tACCGEEEIIIYSQCQUjM0jbqFaHZwCb+m2dmCnU+TQksbk1LK2wJDQaI4W2Tk+Sy832OZsAQNN5I2pEdxjrNqM2ZBslv52y8nVYOPuijW/QrMigsvthRVXI/BllvPUJ1d3HIt8Q6ze/8rs3fwYQ7XRSEe0MGu4jbs4Cf3SHdu+QyDVbzkM6GsNHaI6M3HJGTojgt7Ti8yD8b0f19VxG+YRGbeQiCgKvG1ZukLoRtREa9WRhRSn4omGKRDY4bxvlWKkmnHNG7Sc370bceR0TZVI2RfZZ2W/JfZThKBJLaMRCTGSDpu6GnY2bWNcWqw0Lp315zqhrkttmnNNJJynf6SSs3iQRUbDOyJ/hHJuqzHJINCOkO+hMFIMvSgMYO59GF6ahKwwjMwghhBBCCCGEENJTMDKDtI0s+5+38Q13GlDOFMqZ0pz2LcFMfmwOB397kR3RYyCz/Ms3p0YTsa4wsV3OPBEROU174hntIjPkZWqdLf/vdvZDkyJnRi/oxX1RGkAapxP3bHMbsV1iWi+nh9GXEwIo4NARGHERupw+Juz2W/8/ty9ERX1taAgrpb7AXBv5Noofn3psbDeT1vWs5SyXD9Mxxsi7YVEXlRtWzozMf52WG6qjNkKvuVb/uyVqo1vedpdNrNOJr55++LCuLz5CXU/0+mJdYGKiAYocH7726/XwflgRdTH9ih2DFFhuNY6rjZlLwncP1vXi8lFYz20xz8JFnm99/Soj2sU6doZEVEurfBrVWnc+8xWBkRmEEEIIIYQQQgjpKRiZQdpGtZahWqvksunKKAU5SVskECMmn0GRGVaZJyM0GsN6u2Xq4j3jMfwPIzOzjGoJzK3RbkLzjVj1Qp1CuiXCINpT3ImcaKgy0abI01DEEaVsrCziPvRbft/bav1/K5/GoLyS6BOq3jqqQmdYH/TUyyMiD9S6BsUrolzeh8DdZOWB8NXTWLsiNKIgtD196LsOIyo6TVSWURu5Nozs96HI8Yl541xoXTq6wxPNEHuddoKS9MvuyKgN+aa5bCeiFFgRaL567SY0ckIT0+ciuST0PaNMQiMAU7iNpIjaCKWqrmXyFpHvhz8SweswlmAf6WcI6z5mPlcFPsPJetY1NjS/iHbhkficTTR6HOWzZKhbYhmU/qwqxmdIjU+jAWwISTMYmUEIIYQQQgghhJCegpEZpH1kGbIsa5lNdwQjKkHOJ+pZ1NAoi9SOJUXyOTh5Jox6MmojU64HTeMls28+OpdrRLxq65aojVR5NqqBURudQvcpSRbrQPeF0JwZuTdJ1qvZQGKiNIoQmk+jkXMsEeekGMfB4NwausxZs1srk+edzhcRmKNA7msjn4PGd4zY0R3Fc3AA7rbo3CCug4a/TRm10ad2qJUzwzeOZt4KVVT3RE5YZfqYDs09Yu3PFG+nY6M2qs6xKtowjlPLMaaMcz6UmLfaG1qeDestfy15BEDYW/hcvbDUCcHERmKkiIQJz//hj0RIvS86+TyUi+YIfo3uj5b0rivSnSb2GbTMiB+9XJL8KOr319BQo63OLWXByAxCCCGEEEIIIYT0FIzMIG2jUslQqWS5bLrOW1v5Jk/pEGPzaVj9CUXmybCWSxEhImdbdQRK6vEpwyHGiUBJMOOr27eiL1Jnj+5WvJEU1cB6RdYl3rCGRhBYFPF6j8HKp6EjLvpE8opB067GypkRlk+jr+otCqZuOWgY+TR8Q1zEgcKNIgjro9VGzqXEiNpw6/nLKrnIG18/Rj8XcXSJwTq+Y6OqvPVQ5M2dTDRjvCUPpOzcIyloZ34IiyI5Lbpl3dqxI4ZORgrErDtFvqt25wbpFIXyl8hrf+C1pr/m3kAHhlrfsOsJ9lnZxOZ6K+WcqVVQyyXx6j04mUHaRq1aQa1WySWg8cUX5pJkWokxZTXjomRORET8ULMmJWLay6FtJo0yOUkk191U4XmhPx5jkqoWoezQtk4mB/XdGFM8HA23E1ZPPrz3G3VNmYmcbMz9YBETS218Ni32g9OQJXja0ROug26pbsVT5r9IWUkti4Ty+4ixaQVsCYpPHlHkeutKFvz9siQ52tLVWZ9YLvThuoitaoqJjuB9GJHU0rYoNM5rdczJW4aTXLeAhavvuOgWaaOmk0kyU4SSp7AztbbT+gGaXJ6SWHICpLFt9bWRS7xdcU4aB3ke5ttrveHBdrptwLFcDU0Gas5Oi88FflNPlBdXEisJ6lDgfaAVlJkQQgghhBBCCCGEtBlGZpC2UalkqFayXBhYxftNWQgZEgt3PWH9se0/w9oo0mbM7Kd+Q5yJ12RN9YbLHbn2yXVSJe+UhI6VJTOxZqetGW5J6Gx3ksRMJRObANR5Y1kg/EK+me3kzL8lbRh0MofKhdw2+sTnun6L3fC0byQRzcshRsv0G/RQYpJ5WpEHlgTFZy+aW68qtN7y+2Qm+e2S46hC5g0ZjrePVv8Dk6DmEoWGSnICz7toiVjo2zrzfme9VR3/GIeSIlGjxtdGt1i4Aun7YrWfOhmoRSfvmanlLtbzROx21o0koumtWsMfeFPvJyuKxeqWz+I29NluLJIkgk2wXOj2jGe7u/F5tSiMzCCEEEIIIYQQQkhPwcgM0jaq/xOZ0a+sgQZEDg1/lAZg5tNwqpUbKSAjEWIjMUKjGUwLV2MW2xulAYTnHhmrcx4si9vYiBdJzCxy7Kx1qln+1Mi3KtLGsl5J/3bXaU9HA6XIC5OY2ESETgJQnayz4f0CbzSZTmwiXrX1qbJBsT9DdcgaNyrBqie7FJ5bwxeNUSQHgmXzKaM4qjJyxRhH3Yab38W/LrdP4f1PEWHgOz6tyIyx6vr+H/3GLfg63R3nv2n5mZh2R220MyFoimSgsfvCW9fKtxxJCttWqw0zolP034rCk5EH9dzD3sSgath8u+Na3MIVSJ+otWzKuhbEPnN0E5zMIG2jmmUtT0Y5ueGf2ND/8V/crYmOpkySaWXFj7xoxE5g+C5SlsFC7h4vt03Ec2fq4i4Te+p7pByfULlOCpIkSy1AO8PqQpPHtXviJEpmkkvoKOuqH5YyerRkyUnoBEZovZyziSFB8WcwUxXlj3IlQXESXspJyQJDFerQYcpRAidBXImFMSGi+iH3vV7OfaDyy3Us1xOfpKgM6U4KF55gl5ICEx2hbYS6QoVK93qdWGeJFD90QicA2jmxEZwMFHAue93ywy+UIhOAofsp9F5eNZIZu/hndHphvMt2hYldV93YnynOtXa+eBtPP5gAlBBCCCGEEEIIIaTNMDKDtI31CUAtnJlvvbzxTSbDzEcsjJZFJ/aMmLnUyyS3WDOWs6IvfHIUIDzJaijWeIeOaZHZbVm3FvhGsZ1vDcom9wZXhOvn7OMiIjNyby8i/FhTvNEuQuibTivCIE6CYsjk1PHS53V3LfCWKdBu1OlRZORB3ZMMNF9PfXekJGp94toj3xTZtqEqAsUTtRFrG2wlQbX+nzpqI0Zy0hasBH2eaLtYGVi3YL3BjY2qaGe4e2hkSZGklqkx24+0bY2R08S0PRbOuhNEuITuz15IUh5s4Qp4rz3VXEixP4ol5pzsJplZqn1Y2wDCGjiZQdpGrTJ2CJVPcgK4P94tiYUuTH2eSkmEDs9K/QO9yIXMefgV/48dq1C5jqYM+Y6PMrJH52+GPvyDkOLhNDzruX9djqtCglD13LrNHyZiMqmNz02l6LQFlgSlIsOGDTcTC8vJI0XuhyJ5MkLKLGmK3Z773ZGFiEYbasLCuYboc9VJlBG2LovQvCFF2vCR5LgdR5vJCbyMxub1Cf1xmvo6p3+AdnIiIma50B90Re5NvhwaZTuzFKHMCYzY41bjTPaaffTn00jxwzt4OVNVWfIkkec5Nr9MXD4NSYpjp52TR/oZVh4jrfrRjRNbRdkA5mMIIYQQQgghhBAykWBkBmkb691MitT3YUlQLFmFpGnMPsfISjRWUrWx6qYkdqxMJ5XAhHqxkRipxz82EsN+o2WPUCvKDvWM97SPk5k462pn+EUk0W8GgyM1jAy6dUuC4ivyR9ro4Y6JkAhN+KnXbckoQpOD5tfne/udy/I58nFQnWdSkuLKUVQTHkmLJlQuUmg7EyTvHG97ZdBNb+HHi7U/rcS17dzmdiYDBQokBE2cDDRYcgKYspPQxIplv4Vv5ziG3/91dEf73nPL/RKaLB1Qz2aBES0pzplOXtfin2PtZ9UNIQEoJzNI2wjJmSGxLFw1obIKmVujyA9mS1oSQ6cmNoDwscrULwArL0koPlvbImNqjU9wFvGKDD0cv+THmugYK8TP10boukPR7Tv2cbE5MwJzTqSQnBSx0JSk/vFoHfzy/NE/tJ3JDUOC4nPkANzxLrJZVj4NSSOwnmXNakmbQpHuIzkHHc+ExXDZ6D+k/a0pMyki7zC2OzWhExi9MGnQyTDmUIeOWEIlKJIUjgXtzoHQyRwaKQjd9zHjWGQiL2YcQyUnw230ro1rkfPCm3vEyuNj5NPQ+I6Xbpq09U1SFH1WrcYmE+wien8LCCGEEEIIIYQQMqFgZAZpG9Ws8j8ziXEzx7EuH6asYpxYjiUpJDVlJFEKlRRoGY6VOHRDIv0bLv9ghUZtxOK8vUggA7GOl+Dzs4Mv8Up5i+JJgtanqg2GSlCqskyHHkT0D1r60fr/Y7bhy5KvIzPKjhowrz2tE7CaUhIraiNXt/X26LEJPcbb6QrR7jeK7XQA6KTbgMSSoEhSRIikul/ESBGtNnzJQHP1ypCgyESQWp7WIYpITpy64lpfD5T1DrfhTw7aywRHbahNtqL83ESq7i8H3/pSRER1S6Sa9b9eg5MZpG2M5swoIHQU1CNPOJ+sooh9XmppSazMxNIX+tqPD/V2CZ0Uaho/kLJAFwFJmgmdivqe9uJt/VAIzbtR9oNH6I/OIhMW5g9Xz4/OUCcJizLsHWMdIuSYONI4tTvl5EaoBEVbuMqvReamvNaskT/C2yn5sdrQx2O/MxFkSEkSTMaGHoPttCLtxdwa7UT/QEktQbPcpEInIrvVKjxUrmOF/Jd9/sesq1hIfnFJagrJSaz1axmUfZzFEOPWo+umOO86Sexvim7p/3jhZAZpG/6cGWHG4UnyBnjWWoQUySk1cttCZ6BT6G6LEDp2ob/J5QSRFeFiUUbkSjtv0O7NtHPaV1/+jOF+BObMCHyIKGI3GkpsNEBqi0uZ10fn/ImK2jB/hMeNW7BVaC4XhqdegeMlxY9H6/wcQOtIp4Y6xqzkoKE3htAkqKHEHrfWctaPzlrgD64UdCpKox3rs9YVcy9Jkeyx7G3u9fwZkrJzVcXii9IAwiM1UrwsCb7nF3hHmWJSyPdiL9e2EVHs1vVvgFx3Gcd+6mf5olHhG0IC0A04WJwQQgghhBBCCCEbIozMIG0nPDOzO7U7SbzpXGc4m2i8If/BLfix3uoXKQttv1uwxq5bZkiTS0mMCIKcVtrzRiHWESWWUIlIaL9iJSiOllmNo+XekcIxIvQtdmxYsm85U3YTKkHRx4D1JiwQGVGgoy1ioza89bpF9hCaZwMoZhPzP5SdByZ0rIrkYijD2SOEbrqnlR3N4H1zXeAleafGKzbCJTR/RgpibVvbOaZlOJGlyHPSjRSRSoRGSzjL1MPHse45Xro1kicU5swgZJyM5swIxX83KhKWFfrDMoXGMpZa4ERHzE2s7AuVHrcyZDiStj6IBEogzHqGX3w7tYy5dVdbnxexfUxxky/b7lITPBERgbaSdmQn6tJWabbO76Bza1i2pKE5NKzfF3KSokhOIaeNwAmMjj5oF5ncSEwnZQ8+9PkZM9ER+wOr7Ot51A8RHdbf5uuSs+4S94W1XJH95LWx1PdF47zrlvOi7BwLMeSeVSMmiTopYy2DmIlI63i0XyaFjVWnJojHYkOYrBgLTmaQtlHNMlSzzHyLbeGbKR1zvSWeyO18EMuXmZkr0ncmgtiH6ZgoliJ1zQgaz8REbBKu2IRopb81FOehzPyeSyybIGeGpa0NnTAq+wdF6vwZGjOfRlTODE3xa1EhNxNP3SLRF10TqSEpIZRMHqu98Ha0nbkeOpnTopPE5hdod26sGNqZf6Vsyn7znuLcsp4pgtvYgFxPopN3ikmh0Ihx7Xoi0edqmZPCqVj/u6zX4WQGaTv6xHF+VAX/ePdffE27K7neAj/MQgmVmeiLXviP8LA7Vy9MdLSTFG+qYpfzTmwAwW+qyv4BELquaJmJRbfokgRlP5CbURsly0wkeoLIkqA4yyWYlChjYsN3POYnjwyMqr380FfkR1o7f5B28g136jepZUSddJON63jX1TWykw5JTmLp1glA85qSwAo+BdZEW8yLpiLRtN04EdnL9zCLLnyMJIQQQgghhBBCCPHDyAzSNirZ8KymNTtqhZKH2ijFzoZ2Sg+pcaM7/PON8X2MzEQWSExiyV54O6KJ2bYUWt2x6o6XIm8XYnNtjJcUb+5j2ykjosv7FijT/2+dWwNA6a8mfNfmIttcdkRHymVa0oWvf4aMczCUsqMUQ9fd7vtA2fKI4PuAcUvulntjivxOofKI0OtEGck1u/FtuibGttVOAB5+YQt+vpP3i8BjusgzREwuvCJRQ/664RqxFNeUbjn/ux1OZpC2Y56chie0zWjlqs6Ml4CYkLMyiEkOat8gCoh3ExB6Ywkd13Y+eMTm7jC3WQx3+EReCT/opNuIyr3geLgX+NHTzsR1oVKY0DZSlYXia2NAnY/9VXm+6mMpQT/k82diJ5mxysoMnU71gzxmkrKTeUJSy3XKWHds0smQ9lL1o5OkePYoe8Io9NmjF2hnnoMyzq1e2Be+vljPczETG2O1HyoBTnH/KHv8x5NnbkOYL+FkBukqrBnn2PwCMcQ+VKW4qclZ8hQ/+Iv1KW3URhkPp8nzi2T+9q11WTfeoYgfPWXcTGMo8pY2xRsRa92dIvYHaOzDi50cVNQT56Q7sQFYCUB98uVYCXunJnfGwjf+3XJcAd3TF3PyNCvvIbzIdSL1hEgnx77sZxSLdk4KpW4jFc66jcn7XqCTeUm6nVQRrjHJQfUzc+jkd+wzbfByG2ieDAknM0jbqFbGtmYNfYudc0QIjDaIeTiylisy2RBqv1qkX6FlcZQbtREruegF5L72TWxoYh9O2/l213qzkeJHRLfu9zIlENHrKhSBFjauMhpD/9j19StWZlKG5EdSxjnSLT+MYyjiBuQk5TYehK1rQ8gyQHvP+ej7uvHskfycD7ztppDTAp0bf+tHd+zkVMwPxk6Oh0XstcaZiPRITsbT/kTBJ4nqdelItxzfqeFkBukqoi/ggTOnoRKUbr3BScyJDesBNNA9Js/4ozY6qY+WxKw79uHRN7ExZp9KfoD2tWdlIbecgkJ/nKZ4c1K2vj1F5EHsW8noel2YzyF2P6V2mSiDbrwnlEGo9j10nxU5L8oe45j+pyDF80Woa1sZhK7LvN91SSSipluOx+BcD5H9nSgTGKmlPOFRGkDMi1QSByczSmDlypV44IEHsHjxYixevBj33XcfHn/8cQDAjjvuOPI5JYsWLcK3v/1t3H333VixYgU233xz/M3f/A0WLFiAo48+OqiNoaEhXHbZZbj66quxdOlSrFy5Ettvvz0OOOAAnHzyydh5552T9DX2R6H5w0kkytM6c0l/rSracOtVjR8zMQ86lv1qXjrRWlpiSSysCQtzogP+cZQ/ZPWbX/fH3mi9gSG/77Ym9Id9aBuxEpQUpF5XrAQltA2rrnNu6Te4xrxVzI/+dk9EpIgGkPVCj1tdz0o2KKUlUnJS5Pi2rhvyDV3sA26KyR6rjRSJLH3tWdfiQratgtiJ2XZG+YQSHOFS4NoQuq7Q47HsH2ZlJwMNxZykNCxFU0yypshLIAlNHh1LkvNOR/kaUWwpIgxTR0SYYyBzcgVGaQDpo+SsaKNufWary7oJcvmFTmy0e5I8JGK+F+BkRgkceuihuOOOO9q2vi9/+cv40pe+hIb4cb5ixQqsWLECt99+O6655hpcf/31mDx5sreN559/HvPnz8e9997r/H/58uVYvnw5rrjiCnz729/G3/3d30X3s1bJCk1k6Lqxb34ksTeP0B/hncyE3TldbFx2514Y07LXHRua7aPdGmVLQhOqF5V0k8Y6BuuHgfXjOvnDoyLmAbobf3Tr9XUyT0sKDXQnidm/ncz10M4xbvd1KMVx2wsuHJLcGHtkJ72wL2JJcf3q5HNxCmKkapoyts0bFZogJ0kv3B96DU5mlEBTvL3YfPPNsfvuu2PRokVYuXJl8nV997vfxRe+8AUAwE477YTPfOYzeNOb3oRnnnkGF154IRYuXIhbb70Vxx9/PP71X/+1ZRv1eh1HHHHEyETGEUccgRNOOAFbbLEF7r33XnzlK1/BX/7yF3z0ox/F9ttvj3e+851JtyE0lDz4QmdYVYXm1rD60gsPDUkulgUSsPordseYFhkPX93YfCWhP766hdA3g0C8fjmmjXZSJDKrnREoZb/VSxGZEdpeKCkkP7GUfV534/lfBEuCIinj+t7OsYvJ9QC0t4+FJIwlkiLXQ6zkpOyJt2589ksxMR5L6vEuImMNXV/sixTf+RQrj5Iv/XRUOBk/nMwogWOPPRYf/ehHseeee2LmzJkAgBkzZiSfzHjxxRdx+umnAwBe/epX41e/+hWmTZs2Un7IIYfg8MMPx6233oqrr74aH/3oR/G2t70t185VV12Fu+66CwDw8Y9/HBdffPFI2Z577ol3vetd2G233fDyyy/jk5/8JB5++GHUavGHTsxFCEg/w6qpG9eXmBt0iot7LsxcXEjLkFiEhiyGTmzoMU2RA6HXZrVDj51CD0qefRF7jqQImTdtzxKEkof2I5YUP0BjJ21ClimyXGibZUt+LPTDYpkP4bFhve0MB+6FiY3YHxSxP7RT/1hKEomofsxY4fspcMbAyGcU2oYm9biGRqf1It4fuAkiLFKR4vpe9j0ilLLH0dpO3/NYGfcSMn44mVECH/3oR9uynu985zt48cUXAQBf//rXnYkMAKhWq/j2t7+NH/3oR6jX6zjvvPNaTmacd955AIajSNZ/lsycORNnnnkmzjzzTDz66KO45ZZbcOSRR6bfIMRfsOSFZ92Q+gUd+CPclUuknzl1Ne1+i6UUF+3S3yAEjqnMUQLoC/r4xzg090iRNmLXPd5luvVNvrOcoS+OiV4oA70uK6KgWyZBvKhrWYpcD7H4xjH2zWnwugq4cDgEXl70/WJSm8d1vJSR68HXjjkZEKmL79QPbav9Ij+6U//wMyPcSo6EKfvHY7fk0AjN7xBq21pkks8a4xTRjN5+FIi0TX2/zo1P5KTceEkjq1Z9D8xL4rbhDr4VqZGXcZNWcDKjh7n55psBAK961atwxBFHtKyzww474IADDsDtt9+On/3sZ1i5ciU23njjkfJHH30UDz/8MADgfe97HzbaaKOW7SxYsABnnnkmAOCmm25KOpmR4kdn8E042t7V10h7sSY9fA8Kpb8ZKFmO0ouERqAkCYU1/NBT5GKI/SFSZkK9ssO5ragBMzKj5B/ekgH1I7zdkxshdDLyI/QSXnb0y4ZE7PWrjEikMse4k6H7KShbclL6ORP4sqSd+TM07ZScxEZ+tFuK6KuXa8MzKdfJKJZYYiYA89fR7rt39xqczOhRBgYGsHjxYgDA3nvvjf7+fm/d/fffH7fffjvWrVuH++67D3Pnzh0pu/vuu516PrbZZhvMmjULjzzyCO65554EWzA+yghHL/+mUPyCZTmW2OvyL1d6WG/JM9XdSCd/vDi+8rE/pkvASg46Xrrpx4VvzItca1K8cU3ylsmgnT8cUhzHKR74U9xnemFio1vOpzIme1PQLWH3KWjnBFEnc4h067HUTjak47ZbCc2nQ8qFkxk9yqOPPoqhoSEAwOtf/3qzrixfunSpM5mxdOnSlvV87TzyyCN48sknsWrVKkydOnXMfq7vIwCsfvE5VCq2DVDoj3frYVdftBviu/yBNaguPLJNq40yZrsrnoiLATUecjHdhu/NbJHxDh1X35jm6qnmBkQSjYYxjqnHuKLHqjo6VuvU8MjlakYbTpRM5KRTzHgDbmi8LNLtWW3EUGQMZFUZul+ojcBoI+t4aRg/klMc09Z1I4bQMbXOfyvXjm9MWy3nwzquQq+jWt7hO45D960mdDtTjHHocVuEFMetvMd1y7VBD40lnQq9xoaOd+ixqutZtsHy64CReCv1GFvneJ8K409xH7PG2LdtRY65XrunrfY8J+g2Y6/FkthrbOhxGzvGoZO2nbw2WP0wty3w2uA7bou0kSK3SfAx12KMV/33syPf5W+2XoKTGT3Kk08+OfJ5hx12MOtOnz695XKx7TSbTTz11FN43eteN2Y/n3129CT5/j8cPWZ9QgghhBBCCCHt49lnn8WMGTM63Y3CUKjTo7zyyisjn2UOjFbICArtqJKqHUIIIYQQQgghpF0wMqNHWbt27chnK18GAEyaNGnk85o1a0ppx8eb3vSmkdweW2211bgsXQkhhBBCCCGEjJ+hoaGRKPo3velNHe5NHBP2l+XQ0BD6+vrG3c73vvc9LFiwYPwdKsjkyZNHPg8MDJh1161bN/J5ypQpZjvye5F2rH7uscceQXUJIYQQQgghhLSHXpSWSCgz6VE22WSTkc9jST5WrVo18llLSVK1QwghhBBCCCGEtIsJG5lRq9UcJ49Ytt122wS9KY5M1vnUU0+ZdWWST5kMtFU706ZNG7OdLMvGTBZKCCGEEEIIIYSUxYSdzADGtiLtZmbNmoVqtYp6vY5ly5aZdWX57NmznbKdd97ZqbfrrruO2c706dODbFkJIYQQQgghhJAyoMykR+nv78eee+4JAFi0aJGZN+POO+8EMJzAc/fdd3fK9t1331y9VqxYsQKPPPIIAGCfffaJ7jchhBBCCCGEEDJeOJnRw7z73e8GALz88su46aabWtZ56qmn8POf/xwA8I53vMPJkQEMR3isj9a4/vrrsXr16pbtXHHFFSOfDz/88HH2nBBCCCGEEEIIiYeTGV3K448/jizLkGUZ5syZ07LO8ccfj0033RQA8OlPfxrPP/+8U16v1/Hxj38c9XodAHDaaae1bGf9///7v/8bZ5xxRq58+fLl+NrXvgYA2GmnnTiZQQghhBBCCCGko0zonBll8dhjj+Gee+5x/rfeKWTlypVOlAMAHHzwwdhmm20Kr2eLLbbA17/+dXzsYx/DH//4R7z1rW/FP/3TP+FNb3oTnnnmGVxwwQVYuHAhAOCYY47B3LlzW7Zz3HHH4fLLL8d//ud/4uKLL8aKFStwwgknYPPNN8fixYtx1lln4eWXX0alUsFFF12EWo2HDSGEEEIIIYSQzpE1m81mpzuxoXHFFVfgwx/+cHD9hQsX5qIvHn/8cbzmNa8BAOy///644447vMt/4QtfwFlnnQXfrpw3bx5uvPFGTJ482dvGc889h3nz5uG+++5rWd7f349vfetbOOGEE+yNIYQQQgghhBBCSoYykw2AL33pS7jnnntw7LHHYvr06ejv78df/dVf4cADD8Q111yD2267zZzIAIBp06bhl7/8Jb797W9j3333xZZbbonJkyfjta99LU444QQ88MADPTORcdttt+GLX/wi5s+fj9mzZ2PatGno6+vD5ptvjt122w2nnnoqfve733W6m6QLeOKJJ/Av//IveN/73ofXve51mDp1KiZPnowddtgBhx12GK699loMDQ11upukC1i5ciXuuusunH/++Xjve9+L17zmNSNSwBkzZnS6e6SNPPHEEzjttNMwe/ZsTJ06FVtssQX23HNPnH/++d68U2Ti8Je//AX//u//js9//vN417vehWnTpo1cKxYsWNDp7pEu4oEHHsDZZ5+Nd73rXZg+fTomTZqEjTfeGLNmzcKCBQtw9913d7qLpAt4+eWXcd111+HUU0/F/vvvj5kzZ2LTTTcd+b03Z84cnHvuubl0AxMFRmaQDYqhoSH09fWNWa+vrw9f/vKX8elPf7oNvSLdyOc//3l85Stf8UY0rWf33XfHjTfeiFe/+tVt6hnpRubOneuNkNtxxx3x+OOPt7U/pDPcdttteP/734+XXnqpZfnrXvc6/OhHP8JrX/vaNveMdAtZlnnLjjvuuJzUmExM9t9/f9x1111j1vvgBz+I7373u+jv729Dr0g38vOf/xwHHnjgmPWmTZuGf/3Xf8U73/nONvSqe2DyA7LBsemmm2LOnDl461vfite+9rXYdtttsdFGG+GZZ57BHXfcgcsvvxwvvfQSzjzzTGy22Wb42Mc+1ukukw7wzDPPoNlsYurUqTj88MPxjne8A3/913+NyZMnY+nSpfjf//t/47777sP999+PAw44AA888AA23njjTnebdAg56bX55ptj9913x6JFi0byIZENn9/+9rd473vfi9WrV2PjjTfGmWeeiblz52LNmjW47rrr8J3vfAe/+93vMH/+fNx33328XhBMnz4ds2fPxk9/+tNOd4V0GU8//TQAYLvttsNRRx2F/fbbD69+9atRr9exaNEifOMb38DTTz+Nq666CkNDQ7jmmms63GPSSaZPn465c+dit912w/Tp07Htttui0Wjgqaeewg9/+EPcdNNNeO655/C//tf/wn333Ydddtml011uG4zMIBsc9Xod1WrVW/6HP/wBu+22G1544QVstdVW+NOf/mTWJxsm//iP/4gtt9wSJ510Us6yGBg+jo499lhcf/31AIAvf/nL+NznPtfubpIu4dJLL8XGG2+MPffcEzNnzgQAzJgxA3/84x8ZmTFBWB+dU6vVcNddd2Hvvfd2ys8777wRR7AvfelL+PznP9+JbpIO84UvfAF77LEH9thjD2y99dZODjRGZpD1HHLIIfjQhz6EI488suUz6HPPPYd99tkHjzzyCADgrrvuwn777dfubpIuYKzfNQBw8803j7hNHnHEEbjxxhvb0bWugJMZZEJy0kkn4f/8n/8DAPiv//ovvOENb+hwj0g38vzzz2O77bbDwMAAdtllF/z2t7/tdJdIF8HJjInDfffdhz333BMAcOKJJ47cPySNRgNvfOMbsXTpUmy++eb485//HCR7JBs2nMwgsfz7v/87Dj30UADAySefjAsvvLDDPSLdzOzZs7Fs2TJMmzYNzz77bKe70zaYAJRMSKZOnTryee3atR3sCelmttxyy5FQveXLl3e4N4SQTnHzzTePfPa5lVUqFXzoQx8CALzwwgumCxkhhIyFdDrkMwgZi/W/bSba7xpOZpAJx5o1a3DLLbcAGH74nDVrVod7RLqZdevWARg+VgghE5P1rgJTp07Fbrvt5q23//77j3y+5557Su8XIWTDZWBgYOQzn0GIxdKlS/Gb3/wGAPD617++s51pMzwzyIRgcHAQTzzxBK677jr87d/+LR577DEAw2/YWuVLIAQYtthbunQpgIl3cyCEjLL+OjBz5kzUav7c6fI6sX4ZQgiJ4c477xz5zGcQolm9ejUeffRR/PM//zPmzp2Ler0OADjllFM63LP2QjcTssEidaqtOOCAA/CNb3yjjT0ivcZ5552HoaEhAMB73/veDveGENIJ1q5di+eeew4AsMMOO5h1N998c0ydOhWrVq3Ck08+2Y7uEUI2QBqNBs4555yR73wGIQBwxRVXeKWOAHDaaafh/e9/fxt71HkYmUEmHFtuuSWuvfZa/OQnP8Gmm27a6e6QLuXee+/FBRdcAGD4B8zHP/7xznaIENIRXnnllZHPIXar63XLtO0lhMTyzW9+E4sXLwYAHH744dh999073CPSzey666741a9+hfPOOw9ZlnW6O22FkRlkg2X77bfHQw89BAAYGhrC008/jZ/85Ce47LLL8PGPfxy///3vceaZZ064k56MzZ///Ge85z3vwdDQELIsw5VXXomNNtqo090ihHQAmUytv79/zPqTJk0CMJyfiRBCinLnnXfi05/+NADgr/7qr/Av//IvHe4R6Rbe/e53j0xsrVmzBsuXL8f111+P//t//y/e//7344ILLsAhhxzS4V62F0ZmkI6w/kfieP8si7O+vj688Y1vxBvf+EbsuuuumD9/Pi666CL86le/QpZl+Kd/+id85CMfad9GkyjacaxIXnnlFcyfPx9PPfUUAODss8/G29/+9hK3kKSi3ccKmRhMnjx55LNMyOdjfdLgKVOmlNYnQsiGyf/7f/8Phx9+OIaGhjBp0iRcf/312HrrrTvdLdIlbLbZZiO/bfbYYw8cffTRuOmmm/D9738fv//973HYYYdNuGcYTmaQCccuu+yCr3zlKwCA733ve/jpT3/a4R6RbmHt2rU47LDD8Otf/xoA8A//8A8jb0cIIRMTmSQ6RDqyatUqAGGSFEIIWc8f/vAHHHTQQXjhhRdQrVZx7bXXOg5JhPj44Ac/iKOOOgqNRgOf+MQn8MILL3S6S22DMhPSEWq1WpJM79tuu23UcocddthIDoQf/vCHOOigg8bdF1IO7TpWhoaG8N73vhcLFy4EABx//PFMENtjdPq6QjZMJk+ejGnTpuG5554bidjy8cILL4xMZkyfPr0d3SOEbAA888wzOOCAA/DMM88gyzJcfvnlOPzwwzvdLdJDHHbYYbj++uuxatUq/PjHP8axxx7b6S61BU5mkI7RSZuprbbaauTzH//4x471g4RR9rHSaDTwwQ9+ELfeeisA4H3vex8uueSSUtdJyoH2daQMZs+ejbvvvhuPPfYYhoaGvPasy5Ytc5YhhJCxeO6553DggQfi97//PQDgoosuwoc+9KEO94r0GhP1tw1lJmRC8vTTT498ZigwOfHEE3HdddcBAA455BBcddVVqFR4eSSEDLPvvvsCGJaQrJehteLOO+8c+bzPPvuU3i9CSG/z0ksv4Z3vfCcefvhhAMA555yDv//7v+9wr0gvMlF/2/BpnUxIbrjhhpHPb3rTmzrYE9Jp/uEf/gHf/e53AQDveMc78MMf/hB9fX0d7hUhpJt497vfPfL5e9/7Xss6jUYD3//+9wEMJ2mbO3duO7pGCOlRVq9ejfnz5+OBBx4AAPzTP/0T/vEf/7HDvSK9ykT9bcPJDLJBcfPNN+NPf/qTWeeuu+7Cl7/8ZQDDGvtjjjmmHV0jXcgXv/hFfPOb3wQA/O3f/i1uueWWEVtFQghZz5577on99tsPAHDZZZdh0aJFuTrf+MY3RnK2nHLKKZwUJYR4GRgYwOGHH47//M//BDB8zVifnJ4QyRVXXOFYhLfim9/8Jn70ox8BAGbMmDESTTgRyJrNZrPTnSAkFQsWLMC1116L+fPn4x3veAfe8IY3YLPNNsO6deuwfPly3Hrrrbj++uvRaDQAAF/60pfw+c9/vsO9Jp3goosuwsknnwwA2H777fGDH/wAm266qbnM6173Ov5AmaA89thjuOeee5z/nXbaaXj++eex5ZZb4vzzz3fKDj74YGyzzTbt7CIpmQcffBD77LMP1qxZg4033hif+cxnMHfuXKxZswbXXXcdLr30UgDArFmzcP/99zsuKGTicM899+Cxxx4b+f7cc8/h9NNPBzAsPTr++OOd+gsWLGhn90iXcOSRR+Kmm24CALz97W/HBRdcgCzLvPX7+/sxa9asdnWPdBEzZszAK6+8giOPPBL77rsvdtppJ2y88cZ45ZVX8NBDD+Hqq68emRTr7+/HbbfdhgMOOKDDvW4fnMwgGxQLFizAlVdeOWa9KVOm4KyzzsKpp57ahl6RbmTOnDmOvj2EP/zhD5gxY0Y5HSJdzRVXXIEPf/jDwfUXLlyIOXPmlNch0hFuvfVWfOADH8DLL7/csnzWrFm47bbbMHPmzDb3jHQLoc8h6+Fj+MTEmrhoxY477ojHH3+8nM6QrmbGjBlBCT132GEHXH755TjwwAPb0KvugW4mZIPi/PPPx7x58/CLX/wCDzzwAFasWIG//OUvqFQq2GKLLfCGN7wBb3/72/GhD32I9ouEEEIKceihh2LJkiW48MILcdttt+Gpp55Cf38/Zs6ciaOOOgqf+MQnsNFGG3W6m4QQQjYQ/uM//gM///nPsXDhQixduhR//vOf8fzzz2Py5MnYeuutseuuu+KQQw7Be9/73gl5/2FkBiGEEEIIIYQQQnoKJgAlhBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCCGEEEJIT8HJDEIIIYQQQgghhPQUnMwghBBCCFFce+21yLIMWZbhxBNP9NZ74oknsNlmmyHLMsyaNQurVq1qYy8JIYSQiQsnMwghhBBCFMcccwze//73AwAuvfRS3HLLLbk6jUYDH/rQh/DSSy+hVqvh6quvxtSpU9vdVUIIIWRCwskMQgghhJAWfPvb38aMGTMAAMcffzxWrFjhlJ933nm48847AQBf/OIXsccee7S7i4QQQsiEJWs2m81Od4IQQgghpBu55557MGfOHNTrdRx88MH40Y9+hCzL8OCDD2KvvfbCwMAA9t13X9xxxx2oVqud7i4hhBAyYWBkBiGEEEKIh3333RdnnnkmAOAnP/kJvvWtb2HNmjV4//vfj4GBAbzqVa/CVVddxYkMQgghpM0wMoMQQgghxGBoaAj77LMPFi9ejMmTJ+Pggw/GzTffDAC46qqr8IEPfKCzHSSEEEImIJzMIIQQQggZg8ceewy77rqr41Zy9NFH49prr+1grwghhJCJC2UmhBBCCCFjMHPmTHz6058e+T5t2jT8y7/8Swd7RAghhExsOJlBCCGEEDIGK1euxPe+972R788//zweeOCBDvaIEEIImdhwMoMQQgghZAw++clP4ve//z0AYJNNNkGz2cRxxx2HF154ocM9I4QQQiYmnMwghBBCCDG48cYbccUVVwAAFixYgOuvvx4A8NRTT+FjH/tYB3tGCCGETFyYAJQQQgghxMMzzzyDN73pTfjv//5vvPa1r8VvfvMbbLLJJvjkJz+Jb33rWwCA73//+/jgBz/Y4Z4SQgghEwtOZhBCCCGEtKDZbOKd73wnfvazn6FareLuu+/G3nvvDQBYs2YNdt99dzz88MN41atehSVLlmDHHXfscI8JIYSQiQNlJoQQQgghLbjgggvws5/9DADwmc98ZmQiAwCmTJmCf/3Xf0V/fz9efvllfPCDH0Sj0ehUVwkhhJAJByczCCGEEEIUDz30EM4880wAwJ577onPf/7zuTpvfvOb8eUvfxkAcPfdd+PrX/96W/tICCGETGQoMyGEEEIIEaxbtw577LEHHnroIUydOhUPPvgg/vqv/7pl3Uajgbe//e2488470dfXh0WLFmG33XZrc48JIYSQiQcnMwghhBBCCCGEENJTUGZCCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnoKTGYQQQgghhBBCCOkpOJlBCCGEEEIIIYSQnuL/A8NXOo6Ly76/AAAAAElFTkSuQmCC", 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" ] }, "metadata": { "image/png": { "height": 406, "width": 537 } }, "output_type": "display_data" } ], "source": [ "f.change_scales(4)\n", "\n", "# Plot grid values\n", "f['g']\n", "plot_bot_2d(f, title=\"f['g']\", figkw=figkw);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Scale factors can also be provided as second arguments when setting or retrieving field data via the getitem/setitem interface:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(64, 64)\n", "(128, 128)\n" ] } ], "source": [ "print(f['g', 1].shape)\n", "print(f['g', 2].shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.2: Operators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Arithmetic with fields" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mathematical operations on fields, including arithmetic, differentiation, integration, and interpolation, are represented by `Operator` classes.\n", "An instance of an operator class represents a specific mathematical expression, and provides an interface for the deferred evaluation of that expression with respect to it's potentially evolving arguments.\n", "\n", "Arithmetic operations between fields, or fields and scalars, are produced simply using Python's infix operators for arithmetic.\n", "Let's start with a simple affine transformation of our field:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C(C(1)) + -1*2*f\n" ] } ], "source": [ "g_op = 1 - 2*f\n", "print(g_op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The object we get is not another field, but an operator object representing the addition of 1 to the multiplication of -1, 2, and our field.\n", "To actually compute this operation, we use the `evaluate` method, which returns a new field with the result.\n", "The dealias scale factors set during basis instantiation are used for the evaluation of all operators." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 406, "width": 537 } }, "output_type": "display_data" } ], "source": [ "g = g_op.evaluate()\n", "\n", "# Plot grid values\n", "g['g']\n", "plot_bot_2d(g, title=\"g['g']\", figkw=figkw);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Building expressions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operator instances can be passed as arguments to other operators, building trees that represent more complicated expressions:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pow(cosh(C(C(1)) + -1*2*f + C(C(2.5))), -1)\n" ] } ], "source": [ "h_op = 1 / np.cosh(g_op + 2.5)\n", "print(h_op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reading these signatures can be a little cumbersome, but we can plot the operator's structure using a helper from `dedalus.tools`:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 619, "width": 619 } }, "output_type": "display_data" } ], "source": [ "from dedalus.tools.plot_op import plot_operator\n", "plot_operator(h_op, figsize=6, fontsize=14, opsize=0.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And evaluating it:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 406, "width": 537 } }, "output_type": "display_data" } ], "source": [ "h = h_op.evaluate()\n", "\n", "# Plot grid values\n", "h['g']\n", "plot_bot_2d(h, title=\"h['g']\", figkw=figkw);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Deferred evaluation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A key point is that the operator objects symbolically represent an operation on the field arguments, and are evaluated using deferred evaluation.\n", "If we change the data of the field arguments and re-evaluate an operator, we get a new result." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 406, "width": 537 } }, "output_type": "display_data" } ], "source": [ "# Change scales back to 1 to build new grid data\n", "f.change_scales(1)\n", "f['g'] = 3*np.cos(1.5*np.pi*y)**2 * np.cos(x/2)**4 + 3*np.exp(-((2*x+2)**2 + (4*y+4/3)**2)) + 3*np.exp(-((2*x+2)**2 + (4*y-4/3)**2))\n", "\n", "# Plot grid values\n", "f['g']\n", "plot_bot_2d(f, title=\"f['g']\", figkw=figkw);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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tt2nNmjWSpDvuuEPFxcUNtnPbbbfp5Zdf1tatW3XxxRfr3Xff1RlnnCFJeuGFF3T33XdL2rn+8O9+97t9GisAAAAAAF6hmNECpk6dqr/97W8NPvfWW2/prbfe2uPf9rWYIUkPP/ywKioq9OKLL+r111/X66+/vsfzwWBQN998s6688spG2+jWrZuef/55nX322dq0aZPuvPNO3XnnnXtkOnbsqNmzZ++xigqAr66v6m/7vqrb5epQ3/6vKr++rqlkwg59hXm1/X58/Q/11x6AN7jNxOdycnI0Z84cPfHEExo1apTat2+vzMxMdevWTd/97nf15ptvNnqbyu4GDx6spUuX6qabblK/fv2Un5+v/Px8HXPMMbrpppv00UcfafDgwS2/QQAAAAAAGAKpVCp1oAeBr65169apW7dukqTwURcokJl3gEcEwIUff9Pn4qu6Xa4O9e3HweVQ/+38obz9h/K2AweLVLRK8U+elCStXbvWl1fgc5sJAPiAX/8Tms5xH4z76GAckyUQ8t+YcfBJJez/rB5s7490/wfbZfsPtv/0+/XWmINtPwLwBreZAAAAAAAAX6GYAQAAAAAAfIXbTABgHx1sl0gfbOORvBtTWm9X8fA2i+BX9Dabg/FYcxEI+u93OKlk8kAPYZ+k87J+r/pKpvlWBK9uxfmq3kLh5Xal85z1VX09gIOR/z7VAQAAAADAIY1iBgAAAAAA8BVuMwFwyDnYLpH36+0Bnt1C4nBbh1e3a7iM2dt95M3vDNI57nS+rl462N7XXkn3Jesutz44tePRuNPZTtDDW3pc+ksFD67bYw71214OtpVa/LofgXTiygwAAAAAAOArFDMAAAAAAICvcJsJgK8Uv96y4UVfnt4e4dGtH+m89cHllg6v9qPrdrnsR6/68+r1SPc+cuHXW1+8kO7bPtJ5W4dXGZfbLDwbj+Prkc7td7k9xqvbXlz2tcv7zKvj2pXL9h9st4d8lW/pAbzClRkAAAAAAMBXKGYAAAAAAABfoZgBAAAAAAB8hTkzAPjGwTZHhVftHIxLnHo3b4JdMw+GMz3pK5jhTTshh/G4jNm1P6/G7TKmUNhhXpFAwO4r6JBx6Cvo0JckBRz6S2c76ZRKpjzJJFN2xsv+EgmXeRwc2onHHdpxmOshFrUzcW8yrmNKOLTl1bZ9VefnkNI7/4ZXc28wrwbgDa7MAAAAAAAAvkIxAwAAAAAA+ArFDAAAAAAA4CvMmQHggPNyLox0znXhVTtezXXh5fwcwXCGQ8ZhrgeXbXNoJ5yZ40k7LvNThBz6Cme47UeXOSpc2gpn2u2EQt705TLXRTjDYTwO7biMWXKb6yLTpT8fzpkRjdtzFCSc5p6w25GkpMNcF4m43V885jBnhENf8ajdTjzm0I7DeFz6ctk/O9uqtdvyaB6PRLTGzqRxfg6XMaeSDp9XrnNmeDT/Rjrn3vCKV3N4uLYFHGy4MgMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvMGcGgBbFfBh2JuQy94RDX17NcyE5zi3h0JbL/BOhLIeMQzuZWfZHWoZTxt7XLn259peVY2dys+1MUa79+udn25kChzHnO4zHJZPjOPdIlsN8GBlBh0zInjMjGLAzDs0oYU8roWTKDsUcGool7Xkcqh3mjJCkGod5IyojcTNTVh2z26l1aceef6Hcoa+YQ1+1NXbGpR1JitZme9KWS8Zlfo5ErT2vhstcF3GH+Tlc2vFq7g3Jbf4NuYzJqTebV/NYpLMdr9sC0oUrMwAAAAAAgK9QzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArTAAKYJ95ObmnV5wm5fRo4s6gR315NXGny6SdYYeJNCXvJu7MyM41M5k59va7TJKZ5TC5ZXaenWlVkGVm2reyJ/eTpPYObbVrZWfa5NqvrUumtcN+LMyy91FOhj0DZm6G/fuSbJeZNOU2AWgwbk+CGEjYE0Uq5TANoEsmYI85FXT4GhayX49E0M5E4m7TG9bE7QlHq2N2W1UOE46WOEzcWeIwAahLZmuFfXxsLI+YmS0VdkaSyivtMUUctj9SZbcTrbHf+9Fa+3wdq7X7CjlMJBqPVJqZRNjuy2XSUsl9olBLwGFyy1TQziRd2kl4M5FmuifkZJJQHGy4MgMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+wgSgABqUzsk9Xfs6lCf3dJls02Vyz3B2vpmRpHCOnctymLjTZcLNnHx7AszcfHsfdW5tb3/XYntC0h5t88xMJ4eJPSXpsEJ7otDibPujuHWOfaxlRXeYmWDlJjMTKN1qZuJb1puZxLaNZiZWVmZmJKliW7mZiVZUm5l4xGHSwYg9UaSLQMhh0tIM+/2RkWcfQ1lF9vs1u02hmZGknNbtzEz7dl3MTKhdVzOTKGxrZuLdOpqZ7TX2hIPbI3Ezs85hAtD1jhOAri21J69c55LZbh/XVTvs47qm0j6ua2scJpKtdvhMc5iMOl5jTxLq8jksSfGovR9dPq9dJhJN2oeR02+KXabjdZlI08vval5N3MkkoUgnrswAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACArzABKIAWlc6JRF35cXLPDIeJO10m7czMtSe3lKTsXHvcOQV2Jt9hAsyube1JOY/sUGBmejlM3Nmztd1XV4ftapeVMjOSFCpdY2aSny43M7HVy8zMluVfmpmylRvMTPmXFWamYp2dKam0J9Mrj7lMg+eWiyTtTDRpv24Jt5fWFAq4ZOxQZtDOZDtkCjPczsXtsuxc6w72e62wuz3haOuv2ZN7tu7b3cy0693PzHQ8rK+Z6d21h5kpiblNorzBYVLOVaX25J6rHSYA/WyzPZmmy0SiFWX25KbhTPv3oJEq+xiqdfhsdJkkVHL7vI4H7UlCveLVJKGpNE+kycSd8COuzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvMAEocAg62CbldB2PSy4QOnQn98zKszO5BVlmRpJyW9m5th5N3NmvSyszc1Q7e9t6FNljbh0rNTPBLxeZmer/e9vMSNLmRZ+YmU3/t9HMbFhlj3tNtT3r3OZaO1OTsCfSdJkk02UCTJfJLSUpP2z/7iU7aGeKM+z+XCbldNk2l33kMiGpy+tRGrMn5dsQcZiVUNKH5Q4D31JlRnI+2Wpm2r622swcnveemena819mpvOJXc1MxyH2RKId+p1kZiSp3WHHmpluhUVmZm2xfZ7tUmh/zqzYvMPMfOaQ2bTN/vwMZ9SamVDIYSJRx/ODH7lMEuryfcZLTO4JP+LKDAAAAAAA4CsUMwAAAAAAgK9QzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArrGYCYJ+le1UUl5m9gy4rnniUCWbYq5mEM+1Z5l1WKsnMzTMzLiuV5BdlmxlJ6tje7q9fl0Izc7xD5pgO9vZ3y4qZmdCqBWam/K3XzMyauR+ambX/3mBmJGlpuT2rv8sKIy6rXuQ4LLHRNtP+2O/nsJJNpzb2cV3U3X7tW3W1V7uRpLyObcxMTvsiM5PZyj6uw7lu7xFLKmmvQhKvipiZ2jJ7hYmqjdvMTMUaOyNJZV9WmJnNa8rNzBdV9nvW5dhfW2O3k1NaY2a6fVJiZo5+daWZ6X7y+2ZGkrqO7G9m2p/4DTNT3MVeFaUo236vFWbb7/18h8xyh3PI6qB9zHopmbQ/Q1xW6khnJhC0zw8u32fsVrxdpcTlu5Hb9nvTDsCVGQAAAAAAwFcoZgAAAAAAAF+hmNHC1qxZo+uvv159+/ZVXl6eWrdurUGDBmny5Mmqrq7e53bnzZunQCDQrD8jRoxosK0ePXo4/XyPHj32ebwAAAAAAHiFOTNa0Jw5czRu3DiVl//n3tLq6motXrxYixcv1tSpU/Xiiy+qZ8+eaRnP1772tbT0AwAAAABAS6KY0UI+/PBDXXDBBaqurlZ+fr5uvPFGjRw5UjU1NZo5c6YeeughrVixQqeffroWL16s/Hx78qLdnXjiiVq6dKmZu/rqqzV//nxJ0qWXXtpk9qyzztLvfve7Rp/PzLQnOwQAAAAAoKVRzGgh1157raqrqxUOh/Xqq69qyJAhdc+deuqpOvLIIzVhwgQtX75cU6ZM0S233NKs9vPy8tSvX78mM2VlZXrnnXckSb169dLXv/71JvNFRUVmm0BzebVyiLf92XfYBcPerFQScshkZOeamexcezy5DqtQtGtr9yW5rVRy4mHFZub4DvbqER2im81MfN4cM/PFc/8yMytfXGVm3nVYGWFTxF6FQZIyg/YKI50dVhDoV2ivsNH+2HZ25rhuZqbtsUeYmcwefcxMuJN91WGioL2ZkaRkrn2sRRy+0tTG7bn/Kx2WB0il7NVlAgH7tc90WIGmIMM+XxVHK81McIf9PpMkbV5tRqIrl5iZLe8vNzMb3vnCzKz6eKuZWbYjamY+rbQzaz8vNTO9t7jdInzscnv1mMO/2Ghm2n7jm2ame5+hZibTYdWoDIfzVcghk3BYyWeNwwpNKYeMJCUSdn8pj1Y8SbqsZpLwasUTh+9GXrXjiBVGcLBhzowWsHjxYs2bN0+SdPnll+9RyNjluuuuU9++fSVJ9957r2Ixe+mx5po1a5Zqa3cuC/j973/f8/YBAAAAADgQKGa0gNmzZ9c9vuyyyxrMBINBXXLJJZKk0tLSuuKHlx599FFJO387RDEDAAAAAPBVQTGjBSxYsEDSzltBBgwY0GjulFNOqXv85ptvejqGVatW6e2335YkDR8+XIcffrin7QMAAAAAcKBQzGgBy5Ytk7RznopwuPF7ePv0+c89x7t+xiu7rsqQ7Ik/d3njjTd07LHHKi8vT7m5uTr88MN14YUXavbs2U73BwMAAAAAkA5MAOqxSCSikpISSVLXrl2bzBYXFysvL09VVVVau3atp+N4/PHHJUk5OTk677zznH7miy/2nIhr9erVWr16tZ588kkNHTpUs2bNUpcuXTwdJwAAAAAAzUUxw2M7duyoe+yy3OquYkZlpT0TuasFCxbo888/lySdc845atWqVZP5zMxMnXnmmRo9erT69eunwsJClZWVaeHChXrggQe0du1avfXWWxo1apQWLlyowkJ7lQOgJQQ9WhnFZaWSYIZDxqGdUJbDaiZZ9qk4Oy/DzOQ5rGbSu0OBmZGkYzs3fd6QpGMdVirpGFlvZiKvzzIznzw2z8wsWmj3tWxHrZkJOaxC0bfA3teSdOwRRWbmsJPt2wA7ff04M5N19CAzk+xwpJmJ5NmroqyvtldzKXHIbC6xV5iQpNKacjNTXmtPpF3psApN1GHFExcuqz7kZNrnq1YO54fiHPv80Kmgo5mRpI7dD7MzR33DzHQdZq9U0mnUO2bmsAVvm5mer9krpyz5yGVVFPv88GF5xMxIUvkHm8xMbYXd35ER+z3SwWGFiU5HjzAzsTb2alcRlxWBHN5n1VF7zPGY23vRJZdwGHcybn9eJ+P26+GScVt5zR6zy/eihMPqKoBfUczwWCTynw+5zEz7PzpZWTu/ENfU2EsBunrsscfqHu+aZLQpixYtUlFRUb1/HzFihK6++mqdd955evXVV7Vs2TL95je/0ZQpUzwbKwAAAAAAzcWcGR7Lzs6uexyN2pXZXUun5uTY1WAXtbW1euqppyRJnTt31je/aa9P3lAhY5eCggI9+eSTatOmjSTpwQcfdNouAAAAAABaCsUMjxUU/OcSbpdbR6qqqiS53ZLi4tlnn1VZWZkkady4cQqF7MvPLIWFhbrooosk7Rzvu+++u99tAgAAAACwryhmeCw7O1tt27aVJK1bt67JbGlpaV0xo1u3bp70v/sqJi63mLg66qij6h6vX2/flw4AAAAAQEuhmNEC+vbtK0lauXKl4vHGJ0Favvw/E1bt+pn9sWXLFr3yyiuSpP79+6tfv3773eYuLM0KAAAAADhYMAFoCxg2bJgWLFigqqoqvffeexo8eHCDufnz59c9Hjp06H73O2PGjLriiZdXZUjSJ598Uve4c+fOnrYNb7nMkJ3Odpz6crwdym32b7tG69aON6uihDPtVS+cVjPJtfvq2tqeib53B7db2o5ub+c6JsvMTPStZ83Mx9NfNzNvOKxUsqrKns+nXZb9un69o73tR57xNTMjSV1GDzMzmceebGZiHez+1lTZKwhsrLT30ZoN283Mhgp7RYd12+2Jrbc7vGaStK3SXvWh2mEFhXjMntU/mbSL9ymHRRYCDr8uCmfYx2NOtn1+KMq1VzPpWOg2N1fP9vYqRUcU2+eaXq2bXp5ekrp9/QIz0/mw3mam4LCXzEz27H+bmZy3m76iVnJfzWR1tb26TuYXZWYma96nZia7jb36VOs2ncxM5+4nmpnKqH0cbau239dbHFaOKXM4X0lSbY29r8O19nstVuvNKmZefccIBL1ZhcT1O1bKYVUcp/4cts2lL6/awVcbV2a0gLPPPrvu8SOPPNJgJplM1t0SUlRUpJEjR+53v7vaC4fD+u53v7vf7e1SXl6uWbN2Lp2Ym5urgQMHetY2AAAAAADNRTGjBQwaNEjDhw+XJE2bNk0LFy6sl7n77ru1bNkySdLPfvYzZWTs+VuV6dOnKxAIKBAIaNKkSWafH3/8sT744ANJ0re//W21a9fOaawvv/xyk8vC7tixQxdccIG2bdsmSbr88svrlpMFAAAAAOBA4DaTFnLfffdp6NChqqmp0ejRozVx4kSNHDlSNTU1mjlzph588EFJUu/evXXdddftd39/+9vf6h5feumlzj93xx13aNy4cTr33HM1bNgwHXHEEcrPz1dZWZkWLlyoBx54QGvXrpUkfe1rX3MqrAAAAAAA0JIoZrSQE044QbNmzdL3vvc9VVRUaOLEifUyvXv31pw5c/ZYznVfJJNJzZgxQ5JUXFysM844o1k/v337dk2dOlVTp05tNHPyySdrxowZat269X6NFQAAAACA/UUxowWNHTtWS5Ys0X333ac5c+Zo3bp1yszMVK9evXT++efr6quvVm6uPYmW5bXXXqtbLvXCCy9s1m0gkydP1muvvaaFCxdqxYoVKikpUVlZmXJzc9W5c2cNHjxYF198sUaPHq1AILDfYwUAAAAAYH9RzGhh3bt315QpUzRlypRm/dz48eM1fvx4p+yoUaP2eenUgQMHMqEnAAAAAMBXKGYA2GdeLT92MAq6LM2a4bA0q8PSi5kOy4Vm59lLL3YqzDYz3RyXZ+xSYPenD+2lDlc/v8DMLF60wcy4LLva2WEJy5OPtidHPnrcSWam9ZizzIwkxbsPMDNfVNvtrF5XaWdK7YbWltrLpa5zyGxxWJp1h8NrVltjL6cqSbFaOxertZfoS8TtNVVTDkuzuggE7asZQ2F7HvZwhp0pzbHfr5vL3JYU3brDzm3vYL+2O6L26xFzWAK6Z9fjzUz+YHvM3Up3mJnqEvs9tHXpVjMjuZ2zNjgsJ7xlpb1UcttlX5qZgqPtJV7DbQ83M62yCs1MscPxWOSQyXU4p0tSlcPnbChkv49CYbu/uGfLrnrz3cipHcflS70aE8ulIp1YzQQAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKyzNCuArxWlJtFD6llZzWZ7RZfnWfIcl6joW2Uuzdm1lZyQpe8cmM1Px3jtm5ovX7SUDP620lzBsnWnvo+F92piZ43840swUjLnQzGwvPtLMSNKqEnvJyBUlVWbmc4fMwbakqlfLqUpS3GGZz0TCXnbVaWnWlEdLswa8WZo1EbeP/aTDcrJBh3ORJG1xGFN+tr2sZruCLDOzrTpmt5Nrn/uKizqamfxudqags71UbOsV28yMJK2tsfd31OF12+5w7Ndss88PyXJ73OGYfQ7JzCoyM1lh+5jNcTinhxyPWZfPWZeMV1yWdmfxUsAbXJkBAAAAAAB8hWIGAAAAAADwFYoZAAAAAADAVyhmAAAAAAAAX6GYAQAAAAAAfIViBgAAAAAA8BWWZgWAFuSyHFzQYSnEAoelWYsclksszHKrYQc32UuqbnlvhZlZut1e6s9lecITi+0lZftcMNDMFIy+wMxsLeplZj7abC+FKEnLSyrNzGeb7Mymcns/ljkscxmpsTPxmL18adJliVOH19WV09KLKYf3mtPyjN4s4egy5lDIfj+6LN8adljmMhhy2y6XJTMLsuzzUZbDuHMdlqXOdBh3MGq/P2KV9nu2tsJelrgm4XZcJxyW+M10OEZyHI6RsMPnQyDLPoemgnY7LpufdNj2hIfnBxdeno8AHDy4MgMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKyzNCuArJZVMHOghtIhQ0K49uy2F6FbDjm/4wsxs/aTEzGyIxM1MR4dlBXuefJiZafvNMWZmR9veZuajjfYSjks2VZgZSfpss73s6paKiJkpd1h2NeGwXKrLcqFhh2PEZZnPDIflOxMJe8yS27KKLm2lc3lGt33tsDRplp3Jy8s0M+1b2UtzSlL3Nrlmple7fDNzlEOmR5E97ryy1Wam9qO3zczGhR+Zmc0fbTUzax2WN5bcljAtdnj927fPs9vp3dXMZHQ5wswk8tuamcoK+31W6rCPXJaSrnT4/JCkeMz+3Hc5PyTidn8u3zGSDhm/flfx67jx1cWVGQAAAAAAwFcoZgAAAAAAAF+hmAEAAAAAAHyFYgYAAAAAAPAVihkAAAAAAMBXKGYAAAAAAABfYWlW4CvGZdmsQNBeDs6rvlwEQm7jcesvw24n4c2yaW4Ze30+r5aLzHBYCjLbYflWSUps22RmytbYy5NGHbatd769PGPXk/uZmVSvQWZmVWnUzCwvsZdTdVlyVZI2ltWYGdflBy05DkvcZros35vpsFxo2CVj9xVyOGa9lHA4Hl3GFArYGa/2dWGufU5rn59lZxyWb5WkwwpzHNqyj7WiWnvpZi3/PzNStnC+mVn9st3OskUbzMyH5bVmptJhCWRJ6uzwfhzUucDM9Bx9pJlpO/QkM5PsfpyZ2RSxj+svyqrNzDqH896mcjsTqXJbBjdWa59D41GHJVXj9ueDVxm37w8uy007tOPwnce1LT+2g682rswAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACAr1DMAAAAAAAAvkIxAwAAAAAA+ArFDAAAAAAA4Cv2ItgADkku63sHgiFv+nJcA10O/Xm1LnvSJROz15JPxO3xJBJ2Jhq3x5NImREF5RCSVLO93MxsisTNTChg99W1Z5GZKRhwkpnZqgIzs6Kk1Mx8tqnSzKzbXm1mJKkm6nhsGwpzM8xMm/wsM9O1OMfMdC7MNjPtHfpq6zDm/Ey3ryGZDgdSKOCQcfgVjlM7Dsd12CGU7ZIJ2u/ZUNU2MxOsXG9mJCmx8lMzU/PpR2Zm9bvLzcz6xfaYVn1uv2c/rbTPxeUx+zybH7YPkBOL7feHJB11fAczc8Rpx5uZ1iNHm5lkr8FmZl3Mfs9+sqXKzHy4wf5s+Hi9w+fHNvscWlURMTOSFKmKmZlYrcPndW2NnYnb7bh8p3H5HuLVdxXgq4wrMwAAAAAAgK9QzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4itsC7wCwj1zWSQ8EQ05tuaynHnBZl91hnXjPMomkmYlH7TFXO2TiDn25ilXVmJnymN1fTsiumbc7qq2ZCXbvZ2bWVtSamZUlVWbmy212prI6ZmZc5edmmJmuxblm5pgurcxMvw4FZuaI4mwzUxjdbmZCW5abmdjyT82MJMW2bDAzkW3lZiZaUW1mEhH7fV1bbb8/KqsidjsOx2x1iT3mqs12Zsc2OyNJ62viZmZzrZ3Z7nDOSqTs8eSEAmamc7b9Hjq5g31cdx3Sxc6cbJ+LJKnV4OFmJnV4fzNTklFsZj4vtY+15SWlZuaj9RVm5rPNO8zM9u32+6Oqwh5zzQ77vShJtTX2+yhWZZ8fYpFKM5OotbfN7fuD/Rni8v0plXDIOLTTnBxwMOHKDAAAAAAA4CsUMwAAAAAAgK9QzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArFDNa2Jo1a3T99derb9++ysvLU+vWrTVo0CBNnjxZ1dVuM4s3ZtKkSQoEAk5/5s2bZ7a3bds2/frXv9Zxxx2nwsJCtWrVSscdd5x+/etfa9u2bfs1VgAAAAAAvMLSrC1ozpw5GjdunMrL/7McVHV1tRYvXqzFixdr6tSpevHFF9WzZ88DOMqdFi9erLPOOksbN27c49+XLFmiJUuWaOrUqXr22Wc1cODAAzRCAAAAAAB2opjRQj788ENdcMEFqq6uVn5+vm688UaNHDlSNTU1mjlzph566CGtWLFCp59+uhYvXqz8/Pz96m/p0qVNPn/44Yc3+tz69es1duxYbd68WeFwWL/4xS90xhlnSJJeeOEFTZkyRRs2bNAZZ5yh9957T1262Ouw4+DmspZ4IBg6qNpxlQq6rLlujykZc1kn3s7Eo7V2JpZtZmqi9nZFEkkzkwoEzIwkJWJxM1Pl0F+rsH0BYJujGz8/7RIt7m5mPl9eYme2VpmZsh0Or1nU3nZJysiyj7U2+Vlm5qjOrczM1w8rNjNHhsrMTPxffzMznz4118ysfn2NmfmoPGJmJKnE4fivcTgeEymn7tIm5PB2zAzaIZdMq7B9LEpS60w717/IPmcVd7WP2bZfa22Pp+9hdl/9epuZzN4nmJlE+15mpjLLHrMkfVZln0M/31pjZlZt32y3s8U+r32+tdLMlJba78eaSvv8WF1pfzZGa2J2pmqHmZGkeMTetnjU3tcun/sJl3bi9ra5fO9JOIzHpR1Pv2N51JaXY8KhjWJGC7n22mtVXV2tcDisV199VUOGDKl77tRTT9WRRx6pCRMmaPny5ZoyZYpuueWW/eqvX79++/yzv/rVr7R5884PyxkzZuj888+ve2748OEaOHCgLrjgAm3evFk333yzHn744f0aKwAAAAAA+4M5M1rA4sWL6+aouPzyy/coZOxy3XXXqW/fvpKke++9V7GYXcVtCZs3b9bjjz8uSRozZswehYxdzj//fI0ZM0aS9Oijj9YVPgAAAAAAOBAoZrSA2bNn1z2+7LLLGswEg0FdcsklkqTS0lKnCTpbwnPPPadEYuelXo2NVZLGjx8vSUokEnruuefSMTQAAAAAABpEMaMFLFiwQJKUl5enAQMGNJo75ZRT6h6/+eabLT6uhuwaq7TnePZ2MIwVAAAAAACJYkaLWLZsmSSpV69eCocbn5akT58+9X5mX40aNUpt2rRRZmam2rdvrxEjRuiOO+5QaWmp01gLCwvVsWPHRnOdOnVSq1atPBkrAAAAAAD7g2KGxyKRiEpKds6o37Vr1yazxcXFysvLkyStXbt2v/qdO3eutm/frlgspq1bt2r+/Pm68cYb1bNnTz377LON/tyufq2xSlK3bt08GSsAAAAAAPuD1Uw8tmPHf5aRclluNS8vT1VVVaqstJeVasgxxxyjs88+W4MGDVLnzp0Vi8W0YsUKPfHEE3r11VdVVlam73znO3r++ef17W9/u9Hxuo5V0j6PFQAAAAAAL1DM8Fgk8p81ujMzM818VlaWJKmmxl63em/XXnutJk2aVO/fBw8erEsuuUR//etf9aMf/UiJREI/+MEPtHLlSuXk5DQ43pYeK/zHZQ3wQDDkSTteclmX3UUgaF+45rJufbjWzsRjdjGxtjZuZqpjDuvWJ1NmRpKSUbu/mkTSzPTItc8tBb2PMDObquwVn77YXm1m1jlkIg59ucrKsT9mOxVmm5ljOtjHyJGhMjOz/ZE/mJkFd//LzLy+tcrMZAYDZqZ3fpaZkaRBRxSbmTZ92piZVoe1NTO57YvMTFZRgZnJKMg1M8G8VnYm1+4rWGDvn2ChvX8kSXlFZiSRY/eXzLUzO+L2MVJea5/X1lTb79mNO2rNzKaVdmZ96ZdmRpI2lkfsTJn9+bDDYdw1lfbnXm2NfU6P1tj7sbbGHk/C5XMvYv9izOUzVpKSDp/7ybhLxt5+l+80CYe+Ugm7HZe+vPyO5VVb6f7eh0Mbt5l4LDv7P19Ko1GHD5fanR8KexcZXBQVFTX5/JVXXqkf/OAHkqQNGzbomWeeqZfZNd6WHisAAAAAAF6hmOGxgoL//AbF5XaMqqqdv91yuc1jX1x55ZV1j+fPn1/v+V3jPRjGCgAAAACAC4oZHsvOzlbbtjsvY123bl2T2dLS0roCwa7JNb121FFH1T1ev359ved3TfxpjVX6z8SfLTVWAAAAAABcUMxoAX379pUkrVy5UvF44/coLl++vN7PeC2Vavr++F3FjvLycm3atKnR3MaNG1VRUSGp5cYKAAAAAIALihktYNiwYZJ23pbx3nvvNZrb/baPoUOHtshYPvnkk7rHnTt3rvf8rrHuPZ69pWOsAAAAAAC4oJjRAs4+++y6x4888kiDmWQyqUcffVTSzok8R44c2SJj+etf/1r3+JRTTqn3/Jlnnqng/1+1obGxStL06dMlScFgUGeeeaa3gwQAAAAAoBkoZrSAQYMGafjw4ZKkadOmaeHChfUyd999t5YtWyZJ+tnPfqaMjIw9np8+fboCgYACgUCDy68uXbpUK1eubHIcf/3rXzVt2jRJUseOHXXOOefUy3Ts2FHjxo2TJL3yyiv6+9//Xi/z1FNP6ZVXXpEkff/731fHjh2b7BcAAAAAgJYUPtAD+Kq67777NHToUNXU1Gj06NGaOHGiRo4cqZqaGs2cOVMPPvigJKl379667rrrmt3+e++9px/84AcaOXKkvv3tb+uYY45RmzZtFI/HtXz5cj3++OP65z//KUkKhUL661//qry8vAbbuu222/Tyyy9r69atuvjii/Xuu+/qjDPOkCS98MILuvvuuyVJ7dq10+9+97t92R34inJZSzwQDHnSjpeSLuN2WG/eZW37RLTGzMRqG59b5z8Ze8yVEbudeLLpeXR2SSWTZibq0Fa7LPv1z+hyhJnZXGW/Hl9uqzYzNZX2a+byegTDbr8LCDvkurS2l7vuVZxtZmIvP2hmXvvDa2bmjRJ7P57cNtfMDL9yiJnpdP6FZkaSEj0HmZmtMfsrzfaI/T76oto+RiqjdjvVMTtTG7ffZxGnjN1XzUa386zLeWRHpNRup3arQ1/2+3qHw3iqa+x2XM6hUadzsZ2RpJjDsebSX9zhOHL5nEnU2plk3D724w59uXw2unzuu4xnZ85+/Z36c8ikEg4Zj77TuLST7u9P6e4PsFDMaCEnnHCCZs2ape9973uqqKjQxIkT62V69+6tOXPm7LGca3MkEgnNnTtXc+fObTTTpk0bTZs2rclbQ7p166bnn39eZ599tjZt2qQ777xTd9555x6Zjh07avbs2XWrnwAAAAAAcKBQzGhBY8eO1ZIlS3Tfffdpzpw5WrdunTIzM9WrVy+df/75uvrqq5Wba/92qyGnnXZa3S0sH3zwgTZv3qxt27YplUqpdevWOu644/Stb31L48ePV6tWrcz2Bg8erKVLl+q+++7T7NmztXr1aknS4YcfrrPOOkvXXnut2rRps09jBQAAAADASxQzWlj37t01ZcoUTZkypVk/N378eI0fP77R59u3b6//+q//0n/913/t5wj/o23btrr11lt16623etYmAAAAAABeYwJQAAAAAADgKxQzAAAAAACAr1DMAAAAAAAAvkIxAwAAAAAA+ArFDAAAAAAA4CusZgKgRaWSCTMTCIY8a8upnYTdTirokHEYTyIedcgkzUw8avdV45BJpMyIJCmVsMfk0lZ+fqaZCbTtambWV0TMzMayGjMTqbJfj2itvR/trfr/ubD9O4O2uXZrxdFtZuaj/33dzLxRUm1mxnTIMzPf+ssPzEx01I/MzItflpsZSXpz3nozs2xjhZkpK7ePo2hN3M7U2pmkwxskmXTIOJwfkim7nZRDX665hMP5wamduL0fXc6zyZj9vnZqx+F87fo55HLuT+e2eZVJxmOetOMi6diO02e6V98fDrJ2Dra+gHTjygwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACAr1DMAAAAAAAAvhI+0AMAANc10APBUNr6c1nfPhmPedNXPGpmEomkmamJ2n0lkikzI0kph/4SKbut3LY5djt5bcxMySZ7X++osvdjtNbeR/GYnQlnuP0uIBQMmJm2uZlmJrDhAzOz7K11ZiY/bI978NUnm5noqB+ZmRlLN5uZp9+1xyxJW9dVmJmK7dVmJlZVbmbikUozk3B4z7q891MJh4zj+TFd7aS7v1TSPhe5tXPw7UeXzxkXLseRUztpPEb8ejx65WAbD+BXXJkBAAAAAAB8hWIGAAAAAADwFYoZAAAAAADAVyhmAAAAAAAAX6GYAQAAAAAAfIViBgAAAAAA8BWKGQAAAAAAwFcoZgAAAAAAAF8JH+gBAICrVDKRvr4Sdl8u40nGop5kEvGkmYknU3ZfZuL/55J2MmF3p4y8DDOTyso3MxWREjMTq7Vfj3jM4TVz2NeplMPGSwoFA2YmPzNkZuKrVpuZL6piZqZ3fqaZaTfm22bm7U1VZuaVjzaZmU2ry8yMJJVt3GxmIhVbzUy8ptLMJKIRO+Pwnk3r+SqNffkV+8gb7EcABxOuzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACAr4QP9AAAAN5IJFMHegj1hDJDZiYVyjAz0XjSzCQcMimHfZR0yKTsrpyFAgEzk6yqMDNVCXtQR2Vlmplgu8PMzMbyWjNTWh4xM5HqqJmRpGh1uZmJ11SamVikyswkY/aYknG3cVtSyYQn7QAAcCjiygwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACAr1DMAAAAAAAAvkIxAwAAAAAA+Er4QA8AAOCNUDBwoIdQTyqRMjOBVNLMuGxb4CDc/kTS3v5Eys4Ec/LMTLbD9pfH7H2tym1mpDCrkz2enAwzE84I2eORFM7MMTPxcKaZCYVjTv15IZVMmJlA0G37vegLBx9eNwDYP1yZAQAAAAAAfIViBgAAAAAA8BWKGQAAAAAAwFcoZgAAAAAAAF+hmAEAAAAAAHyFYgYAAAAAAPAVihkAAAAAAMBXKGYAAAAAAABfCR/oAQCAq0AwlL5MKI3tOGRCYbv2HA4G7HYCdsZVyKGpeE3czARiNWYmP9v+uApn2PsoFLIzqWTKzAQcfxWQcGirPGLvo3Cnw83MYbkZZubTyqiZKZv3spk54fsnmZmTv9bOzLxcZY9HkgIOx3Y4J9/MxKrKzUw8ah+PyZg97mTcbdssqWTCo3aSnrTj3p83405nX8k0jlmSUgmvXlv/7euDrS8v+XXcgB9xZQYAAAAAAPAVihktbM2aNbr++uvVt29f5eXlqXXr1ho0aJAmT56s6urq/Wq7oqJCM2fO1BVXXKH+/furqKhImZmZateunUaMGKHJkyerrKzMbKdHjx4KBALmnx49euzXeAEAAAAA8AK3mbSgOXPmaNy4cSov/89lrdXV1Vq8eLEWL16sqVOn6sUXX1TPnj2b3fZLL72kc845R7W1tfWeKykp0fz58zV//nxNnjxZ//u//6uRI0fu17YAAAAAAHCwoJjRQj788ENdcMEFqq6uVn5+vm688UaNHDlSNTU1mjlzph566CGtWLFCp59+uhYvXqz8fPte391t27ZNtbW1CgaDGjVqlL71rW/puOOOU1FRkdatW6cnnnhCs2bN0ubNm3XGGWforbfe0vHHH99km2eddZZ+97vfNfp8ZmZms8YIAAAAAEBLoJjRQq699lpVV1crHA7r1Vdf1ZAhQ+qeO/XUU3XkkUdqwoQJWr58uaZMmaJbbrmlWe1nZGToyiuv1MSJE3XYYYft8dwJJ5ygsWPHaujQofrpT3+q6upqXXfddXrttdeabLOoqEj9+vVr1jgAAAAAAEg35sxoAYsXL9a8efMkSZdffvkehYxdrrvuOvXt21eSdO+99yoWizWrjwsvvFB/+ctf6hUydnfNNddo4MCBkqR58+Zp27ZtzeoDAAAAAICDEcWMFjB79uy6x5dddlmDmWAwqEsuuUSSVFpaWlf88NqIESMkSclkUl988UWL9AEAAAAAQDpRzGgBCxYskCTl5eVpwIABjeZOOeWUusdvvvlmi4xl9wlCg0FebgAAAACA/zFnRgtYtmyZJKlXr14KhxvfxX369Kn3M16bP3++JCkcDqtXr15NZt944w0de+yxWrVqlVKplDp06KBBgwbp4osv1llnnaVAINAiYwQCwdBB11/QIRNwKBAGw/bEuaHMHDsTsvvKybTHHErz27i2ov6KS3sL1pSbmdbZ9j7KyskwMxnZ3hxrrufDaDxpZrZVR81MqutRZqbf4M5m5p2XVtmZO18xM9886hgz818DvmNmDivONTOStGBliZn5bEOFmal2OB5rI/Ztn/Go/bomEnYmlUzZ7TgcQ6mU3Y5LX5KUdMilkom0ZZIxh/eHV33F7b6SDu0495fGbXPLuByzHu1rl3YSbvvahVfjduHyHcOrvlyksy8g3ShmeCwSiaikZOeXrq5duzaZLS4uVl5enqqqqrR27VrPxzJnzhwtWbJEkjRmzBi1atWqyfzet6GsXr1aq1ev1pNPPqmhQ4dq1qxZ6tKli+fjBAAAAACgOShmeGzHjh11j12WW91VzKisrPR0HNu3b9dPfvITSVIoFNKtt97aaDYzM1NnnnmmRo8erX79+qmwsFBlZWVauHChHnjgAa1du1ZvvfWWRo0apYULF6qwsNDTsQIAAAAA0BwUMzwWiUTqHmdm2peXZ2VlSZJqamo8G0MikdC4ceP05ZdfSpJuuukmnXDCCY3mFy1apKKionr/PmLECF199dU677zz9Oqrr2rZsmX6zW9+oylTpng2VgAAAAAAmosZIT2WnZ1d9zgate+F3DVBZ06OfT+4q6uuukovv/yyJOn000/XzTff3GS+oULGLgUFBXryySfVpk0bSdKDDz7otF0AAAAAALQUihkeKygoqHvscutIVVWVJLdbUlzceOONevDBByVJw4YN01NPPaVQaP8mvCssLNRFF10kaed433333f0eJwAAAAAA+4pihseys7PVtm1bSdK6deuazJaWltYVM7p167bffd9555264447JEn9+/fXCy+84NkVH0cd9Z+Z9NevX+9JmwAAAAAA7AuKGS2gb9++kqSVK1cqHo83mlu+fHm9n9lX999/v375y1/WtfXKK694OlGny7JvAAAAAACkA8WMFjBs2DBJO2/JeO+99xrNzZ8/v+7x0KFD97m/xx57TFdffbUkqWfPnpo7d27d1SFe+eSTT+oed+7c2dO2AQAAAABoDlYzaQFnn322fv/730uSHnnkEQ0ePLheJplM6tFHH5W0cwLOkSNH7lNfzzzzjC677DKlUil17dpVr732mufFhvLycs2aNUuSlJubq4EDB3raPr7aAsH9m7OluW05ZRzmkXFpJxi2VywKOWTCGXZfGVn26To/285khAJmxlUoYLdVUxoxM8EdW8xM+/zedqZVlpnZsT3DzKSSZsRZNJowM2vK7NWstvSwz+tH//AMMzPy3YfMzPPrKsxM5UV3mJlhP3nLzHz3wu+ZGUk6/4z+ZmZDtf3Cbatu/GrJXUqq7Umudzi8rjUxOxOJ22OOxB36chmPQ8Y1t6PW3o+VkZjdTsSlHTsTcxhPtNbermiNPeZ4zO0EEXUYU9xhX8dq7eMxUWufQ5Jxh3aidjsJh3aSMYeMQzuppNsxm4zbr5tLW0mHTCrhkHFox+U7hks7XvXlyvU1AdKFKzNawKBBgzR8+HBJ0rRp07Rw4cJ6mbvvvlvLli2TJP3sZz9TRsaeX7CnT5+uQCCgQCCgSZMmNdjPq6++qosvvliJRELt27fX3Llz1aNHj2aN9eWXX25yWdgdO3boggsu0LZt2yRJl19+ed1ysgAAAAAAHAhcmdFC7rvvPg0dOlQ1NTUaPXq0Jk6cqJEjR6qmpkYzZ86sW3Gkd+/euu6665rd/jvvvKNzzjlH0WhUGRkZuueeexSLxfTRRx81+jNdu3attwzrHXfcoXHjxuncc8/VsGHDdMQRRyg/P19lZWVauHChHnjgAa1du1aS9LWvfa3RwgoAAAAAAOlCMaOFnHDCCZo1a5a+973vqaKiQhMnTqyX6d27t+bMmbPHcq6uXn75ZVVXV0uSYrGYxo0bZ/7MI488ovHjx9f79+3bt2vq1KmaOnVqoz978skna8aMGWrdunWzxwoAAAAAgJcoZrSgsWPHasmSJbrvvvs0Z84crVu3TpmZmerVq5fOP/98XX311crNzT2gY5w8ebJee+01LVy4UCtWrFBJSYnKysqUm5urzp07a/Dgwbr44os1evRoBRzujwcAAAAAoKVRzGhh3bt315QpUzRlypRm/dz48eMbvIpil0mTJnlyy8fAgQOZ0BMAAAAA4CtMAAoAAAAAAHyFYgYAAAAAAPAVihkAAAAAAMBXmDMDQIMCwdBB15dLLpiRaWdc2glnmJlQVo6ZCWfn25lMezwZWXamVbY95gwlzYwkpRJ2LuQwJ3B5JG5m4pvXmpkOvfqZmY6F9uuxNqfSHk8sYWZcxWrttj7fWmVm3tu4w8yMGfUDM3P6PXY7Rb+ZbWb++UWZmXnjN6+YmW53/cvMSFK/wmwz06aPvdpWUfdCM9O2jZ3JKrLf1y6ZjDyHc0irVmYmWFBsZkJFbcyMJIWK25mZZJ69r5N5ncxMbaa9mltpxH4PlTu8zzZU1JqZTZV2Zl1ZjZmRpHWldm6jQ1ul5REzE6mK2ZlqO1Nb400mXmOfZxNRe9vjDhlJStTauWQ86pCxty2VtI+1hENfqYR3nzNecdk2l+9hLu0AXuHKDAAAAAAA4CsUMwAAAAAAgK9QzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgK+EDPQAAX22BYMiTjGsu6JIJZ5qZUGaOmQk7ZEJZdiYrxz4VF+bbYy7MttsJxmrMjCQlYzEzEwoEzEx5LGlm4lvWmZnio+3XtVNRtpnJzbP3Y7QmbmbisYSZkaRYrd3Wqk07zMy8LIfX1uH1GHLm9WZm1ODRZmbgy0+bmdWv/J+Z2fjeJjMjSaurombm/YXrzUzVm2vNTDSZMjMJO6JEypt2vJIZtI8PScoJ2bniDPv92MXhvNapQ76ZaXd0WztzbA8z0+v4fmYmq88AMxPv1cvMSNK2lH3uX1dhH9efbasyMytL7Mxnm+3zzLqSajNTXVFrZyrtbY84vKejNW6fV/GaSjMTi9iZRK3dXzJuj9vlu4pLO8mk/TmTSjhkHNpx5dKWy/Z7OSYc2rgyAwAAAAAA+ArFDAAAAAAA4CsUMwAAAAAAgK9QzAAAAAAAAL5CMQMAAAAAAPgKxQwAAAAAAOArFDMAAAAAAICvUMwAAAAAAAC+Ej7QAwCQfoFgKG3teJWRpEDIm7aC4Qw7k5Hp0I6dychyydin4qJcu53ibHu7AtFqMyNJyWjczIQCdjs1iaSZqd1SYmYKs+3XtU2evY/ys+19XRG26/zJWnv/SFJtJGa3VZoyM+877MftVVEz82lJoZk5un1PM9PzglvMTK/L7H19TGyHmZGkYHWpnYnYbaWiNXampsrMJCN2xqmdyjIzEy/bbmYq12+1M2s2mxlJ2r5ym535zB7TqtKImfnoM7uv8k/sbQv9fZmZ6Zw918wcV5RtZroN62pmJKn7N08wMycMHmFmjj1ioJnZ0M1+X3+6zT72P95iv4c+Xl9hZlZvqTQzFaX2eKrL3f6bEsnMMjMun9fxsD3uWMTOeCZun9PtT4b0SyUTZsblu5pLOwBXZgAAAAAAAF+hmAEAAAAAAHyFYgYAAAAAAPAVihkAAAAAAMBXKGYAAAAAAABfoZgBAAAAAAB8hWIGAAAAAADwFYoZAAAAAADAV8IHegAAEAiFnHLBoJ0LOGSC4UwzE3LJZOWYmXCmPZ6s7AwzU5hjZwqyHPZPrMbMSFI8EnXKWWoSKTuzrdzMtEna4ynMsj/SChz2dTAYMDOplL1dkhSPJh0y9rbFauNmZtkOu50vNlaYmdcLssxM+1bZZsblmC3KtTOSlBm2f/eSGS42M6Fga7udkN2XyzGSXWi3k9PWfs+6HNcd8u3zVaHD+UGSjs61+8uq2GBmvrn2YzNT+e7bZmbdG0vMzBfz1piZ98siZuaFjTvMTM4zy82MJPWb+4WZOWbQO2bmyLMGmZnDRp5uZjr2ONHMdG5lv/fb5dmZDxze+8sdPhu3O7wXJSng8H70SiqZSFtfTuL2eT+ROMjGDHiIKzMAAAAAAICvUMwAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACAr1DMAAAAAAAAvkIxAwAAAAAA+ArFDAAAAAAA4CsUMwAAAAAAgK+ED/QAAHgrEAx9JdtxbSsQtGu0gZDdTjCc6UkmnGH3Fc60x1yQbZ+u8zPtTCAWMTOSlIgmnHJmO6mUmYlX2WMKxGrMjMv252Q6HEOBgJlJJc2IJCkes/djIm43VmtvviJVMTNTWWYfa2WZ1WZmXcjeR6Gww3sxaLdzMAo6HCNBh+0PZ9iZzCz7uC7Kt89FnQpzzIwkdW+ba2Z6trYzfbqOsPs6epSZOepby+zxvPOi3dc/3jIzH7/+pZl5v8ztHLq41M5tXbDWzFSX2G/+vjuqzEzb06Jm5sgjvm5mUqkCMxNL2ue0qMt5z/FzyOk8m7D7S8Tt90gybu/HZNIeTzJmtxMIevM57PKdR5JSDuN26s/hu5pLX161g682rswAAAAAAAC+QjEDAAAAAAD4CsUMAAAAAADgKxQzAAAAAACAr1DMAAAAAAAAvkIxAwAAAAAA+ArFDAAAAAAA4CsUMwAAAAAAgK+ED/QAvurWrFmjP/7xj5ozZ47WrFmjrKws9erVSxdccIGuuuoq5ebmetLPzJkz9cgjj2jJkiUqLS1Vx44dNXz4cP3kJz/RSSed5NTGtm3b9Mc//lGzZ8/W6tWrlUqldPjhh+vss8/WT3/6U7Vp08aTseKrIxAMHegh1JPOMbn0FQwGzEwoZNeVM8N2JhSw+1IyYWckpZIpp5wXErG4mQnEo2YmI5RjZpz2kYOk4/5JxJNmJh6zX5OUw+sWj3lzPAYiDhmP9qOXUqn0HbMuXN7XQYf3dTjDfl3Lc+yvc5tzq82MJH25rcrMrGuXb2ZKa2JmpjrWyswc2a6PmSkYYu/HwyP2OSRWaWfK315vZiTpo4qImdkQsc99a1eXmZk2H6wyM616LzEz4bY9zExRdgcz0zY308y0ybczBbkZZkaSqivt4z8Uso/HUNhuJ+70uW9nvPqu4tSO4+e+V2Ny+bwCvEIxowXNmTNH48aNU3l5ed2/VVdXa/HixVq8eLGmTp2qF198UT179tznPiKRiM4//3y98MILe/z7l19+qS+//FIzZszQpEmTdPPNNzfZzuLFi3XWWWdp48aNe/z7kiVLtGTJEk2dOlXPPvusBg4cuM9jBQAAAADAC9xm0kI+/PBDXXDBBSovL1d+fr5uu+02vf3223rttdd0xRVXSJJWrFih008/XZWVlfvcz+WXX15XyBg5cqRmz56tRYsWadq0aTriiCOUTCZ1yy23aOrUqY22sX79eo0dO1YbN25UOBzWhAkT9MYbb+iNN97QhAkTFA6HtWHDBp1xxhlav97tNxIAAAAAALSUtF2Zcccdd+jSSy9Vp06d0tXlAXXttdequrpa4XBYr776qoYMGVL33KmnnqojjzxSEyZM0PLlyzVlyhTdcsstze5j/vz5mjFjhiRp7Nix+sc//qFQaOclYieeeKLOPPNMDRgwQGvWrNGECRN03nnnqaioqF47v/rVr7R582ZJ0owZM3T++efXPTd8+HANHDhQF1xwgTZv3qybb75ZDz/8cLPHCgAAAACAV9J2ZcbEiRPVvXt3jR07VrNnz1Y8bt8n6FeLFy/WvHnzJO28cmL3QsYu1113nfr27StJuvfeexWL2ffy7e2uu+6SJIVCId1///11hYxd2rZtqzvvvFOSVFpaqmnTptVrY/PmzXr88cclSWPGjNmjkLHL+eefrzFjxkiSHn300brCBwAAAAAAB0JabzOJx+N68cUX9Z3vfEddunTR9ddfr48//jidQ0iL2bNn1z2+7LLLGswEg0FdcsklknYWGnYVP1xVVlbqtddekySNGjVKXbt2bTB37rnnqlWrnRNsPfPMM/Wef+6555RIJJocqySNHz9ekpRIJPTcc881a6wAAAAAAHgpbcWMpUuX6tprr1Xbtm2VSqW0detW3XPPPTr22GN10kkn6aGHHtKOHTvSNZwWtWDBAklSXl6eBgwY0GjulFNOqXv85ptvNquPRYsWqba2tl47e8vMzKxbzWTRokX1rgDZNVarnf0ZKwAAAAAAXkpbMePoo4/WlClTtH79ej3zzDMaO3asQqGQUqmUFi9erB/96Efq1KmTLr30Us2fPz9dw2oRy5YtkyT16tVL4SaWeerT5z/Lje36meb2sXc7TfUTj8f12WefNdhOYWGhOnbs2GgbnTp1qrvCo7ljBQAAAADAS2lfzSQcDuvss8/Ws88+q3Xr1umuu+5S3759lUqlVF1drccff1ynnnqqevXqpdtvv913q2dEIhGVlJRIUqO3fuxSXFysvLw8SdLatWub1c/ueaufbt26Nfhzu//damP3dpo7VgAAAAAAvHRAl2Zt3769rr/+en300Ud655139MMf/lCtWrVSKpXS559/rptvvlk9evTQaaedpqeffnqfJslMt91vlcnPzzfzu4oZzV2etTn97OqjoX52tdOSYwUAAAAAwEsHtJixu0GDBukvf/mLNm7cqEcffVQdO3ZUKpVSIpHQK6+8ogsuuEBdunTRL3/5S23cuPFAD7dRkUik7nFmZqaZz8rKkiTV1NS0WD+7+mion13ttORYAQAAAADw0kFTzJCk1atX684779Qtt9yizZs3KxAISJJSqZRSqZRKSkr0hz/8Qb169dKUKVMO8Ggblp2dXfc4Go2a+V2TeObk5LRYP7v6aKifXe205FgBAAAAAPDSAS9m1NTU6PHHH9c3vvEN9erVS7/97W+1evVqpVIp9enTR5MnT9bmzZs1d+5cXXzxxQqHw6qpqdENN9ygxx9//EAPv56CgoK6xy63Y1RVVUlyu81jX/vZ1UdD/exqpyXHCgAAAACAlw5YMWPhwoX64Q9/WLeCybx585RMJpWTk6Px48frzTff1Mcff6xf/OIXateunU499VQ98cQTWrFihU444QSlUindc889B2r4jcrOzlbbtm0lSevWrWsyW1paWlcg2H2SThe7T9hp9bP7hJ1797OrHauN3dtp7lgBAAAAAPBSWosZGzdu1J133qk+ffpo2LBhmjZtmioqKpRKpdS/f3898MAD2rhxox5++GF9/etfb7CNHj166I477pAkffrpp+kcvrO+fftKklauXKl4PN5obvny5fV+xtVRRx3VYDtN9RMOh9WrV68G2ykvL9emTZsabWPjxo2qqKjYp7ECAAAAAOCltBUzTj/9dB122GGaOHGiPv30U6VSKRUWFuqqq67SBx98oMWLF+vKK6/c4/aJxhx++OGSpOrq6pYe9j4ZNmyYpJ23Zbz33nuN5ubPn1/3eOjQoc3q48QTT6ybtHP3dvYWjUb1zjvv1PuZvcdqtbM/YwUAAAAAwEtpK2a89NJLSiQSSqVSOvnkk/Xoo49qw4YN+tOf/qTjjjuuWW3l5ubq5JNP1sknn9xCo90/Z599dt3jRx55pMFMMpnUo48+KkkqKirSyJEjm9VHQUGBvvGNb0iS5s6d2+htIs8880zdFRXnnHNOvefPPPNMBYPBJscqSdOnT5ckBYNBnXnmmc0aKwAAAAAAXkpbMaN9+/a64YYbtGLFCs2bN0/f+9739liRozk6d+6sefPm6fXXX/d4lN4YNGiQhg8fLkmaNm2aFi5cWC9z9913a9myZZKkn/3sZ8rIyNjj+enTpysQCCgQCGjSpEkN9nP99ddLkuLxuH7yk58okUjs8XxJSYn++7//W9LOgskPfvCDem107NhR48aNkyS98sor+vvf/14v89RTT+mVV16RJH3/+99Xx44dG912AAAAAABaWjhdHa1bt07hcNq6O+Duu+8+DR06VDU1NRo9erQmTpyokSNHqqamRjNnztSDDz4oSerdu7euu+66ferj1FNP1UUXXaSZM2fqueee06hRo3Tttdeqc+fOWrp0qW677TatWbNGknTHHXeouLi4wXZuu+02vfzyy9q6dasuvvhivfvuuzrjjDMkSS+88ILuvvtuSVK7du30u9/9bp/GCgAAAACAV9JWXTiUChmSdMIJJ2jWrFn63ve+p4qKCk2cOLFepnfv3pozZ47TPCGNefjhh1VRUaEXX3xRr7/+er2rVYLBoG6++WZdeeWVjbbRrVs3Pf/88zr77LO1adMm3Xnnnbrzzjv3yHTs2FGzZ8/eYxUVIJVMmJlAMJSGkfyHy5jS2VcymTIziUTSzETjdiaRsvuS4+sRCAaccl4IZdifD6lwppmJJRz2tcs+chB03D+hsFcXQNqvm0tfoZCdCWfafQVD9va7jCedx5mXggF73EGH7Q9n2JnMLPv9UZRvvz8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", 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" ] }, "metadata": { "image/png": { "height": 406, "width": 537 } }, "output_type": "display_data" } ], "source": [ "h = h_op.evaluate()\n", "\n", "# Plot grid values\n", "h['g']\n", "plot_bot_2d(h, title=\"h['g']\", figkw=figkw);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Differential operators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operators are also used for differentiation fields.\n", "Partial derivative operators are implemented for one-dimensional bases by using the `Differentiate` operator and specifying the coordinate for differentiating:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "fx = d3.Differentiate(f, coords['x'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For multidimensional problems, it's more common to use the built in vector calculus operators:\n", "\n", "* `Gradient` for arbitrary fields.\n", "* `Divergence` for arbitrary vector/tensor fields.\n", "* `Curl` for vector fields.\n", "* `Laplacian`, defined as the divergence of the gradient, for arbitrary fields.\n", "\n", "A coordinate system can optionally be specified as the tangent bundle for the gradient and Laplacian (defaulting to the distributor's coordinate system), and a tensor index can optionally be specified for the divergence (defaulting to 0).\n", "The gradient of a rank $r$ tensor field will be rank $r+1$, etc." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "f shape: (96, 96)\n", "Grad(f) shape: (2, 96, 96)\n", "Lap(f) shape: (96, 96)\n", "Lap(f) is Div(Grad(f)): True\n" ] } ], "source": [ "lap_f = d3.Laplacian(f).evaluate()\n", "grad_f = d3.Gradient(f).evaluate()\n", "print('f shape:', f['g'].shape)\n", "print('Grad(f) shape:', grad_f['g'].shape)\n", "print('Lap(f) shape:', lap_f['g'].shape)\n", "\n", "div_grad_f = d3.Divergence(d3.Gradient(f)).evaluate()\n", "print('Lap(f) is Div(Grad(f)):', np.allclose(lap_f['g'], div_grad_f['g']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tensor operators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Several operators are defined for manipulating the components of tensor fields, including:\n", "\n", "* `Trace` for contracting two specified indices (defaulting to 0 and 1).\n", "* `TransposeComponents` for swapping two specified indices (defaulting to 0 and 1).\n", "* `Skew` for taking a 90-degree positive rotation of 2D vector fields." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "grad_u = d3.Gradient(u)\n", "transpose_grad_u = d3.TransposeComponents(grad_u)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Integrals and averages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Integrals and averages of scalar fields over coordinates / coordinate systems are computed with the `Integrate` and `Average` operators." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "f integral: [[9.42458659]]\n", "f average: [[0.74998477]]\n" ] } ], "source": [ "# Total integral of the field\n", "f_int = d3.Integrate(f, ('x', 'y'))\n", "print('f integral:', f_int.evaluate()['g'])\n", "\n", "# Average of the field\n", "f_ave = d3.Average(f, ('x', 'y'))\n", "print('f average:', f_ave.evaluate()['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interpolation along a coordinate is computed with the `Interpolate` operator, or using the `__call__` method on fields/operators, with keywords specifying the coordinate and position.\n", "The strings `'left'`, `'right'`, and `'center'` can be used to refer to the endpoints and middle of 1D intervals, respectively, for convenience." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "f(0,0): [[3.01857352]]\n" ] } ], "source": [ "f00 = f(x=0, y=0)\n", "print('f(0,0):', f00.evaluate()['g'])" ] } ], "metadata": { "kernelspec": { "display_name": "d3", "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": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 1 }