{"cells":[{"attachments":{},"cell_type":"markdown","metadata":{"id":"11n5gndbRzoY"},"source":["# Visualization with Matplotlib"]},{"attachments":{},"cell_type":"markdown","metadata":{},"source":["
\n","
\n"," \n","
\n","
\n"," \n","
\n","
"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"W7KmRUMWFE7E"},"source":["## Introduction"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"rJn4M7KiFE7E"},"source":["`Matplotlib` is a multiplatform data visualization library built on `NumPy` `arrays` and designed to work with the broader `SciPy` stack. `Matplotlib` supports numerous backends and output types, which means we can count on it to work regardless of the operating system we are using or the output format we desire. It has led to a large user base, which in turn has resulted in an active developer base and `Matplotlib`'s powerful tools and ubiquity within the scientific `Python` world. Let's install the package first:"]},{"cell_type":"code","execution_count":1,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":5,"status":"ok","timestamp":1683112650883,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"CdCsOW1BFE7E","outputId":"9711dc03-2df3-4387-f860-5c34e5e7c694"},"outputs":[{"name":"stdout","output_type":"stream","text":["matplotlib is already installed.\n","ipympl is already installed.\n"]}],"source":["package_name = \"matplotlib\"\n","package_name2 = \"ipympl\"\n","\n","try:\n"," __import__(package_name)\n"," print(f\"{package_name} is already installed.\")\n","except ImportError:\n"," print(f\"{package_name} not found. Installing...\")\n"," %pip install {package_name}\n","\n","try:\n"," __import__(package_name2)\n"," print(f\"{package_name2} is already installed.\")\n","except ImportError:\n"," print(f\"{package_name2} not found. Installing...\")\n"," %pip install {package_name2}"]},{"attachments":{},"cell_type":"markdown","metadata":{},"source":["Remember to restart the kernel after installing the package."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"c4rSJMAcFE7F"},"source":["Creating interactive plots within a Jupyter notebook can be accomplished using the `%matplotlib` command. Additionally, we have the option to embed graphics directly in the notebook using `inline` option:"]},{"cell_type":"code","execution_count":2,"metadata":{"id":"eDIVSn01FE7F"},"outputs":[],"source":["#Interactive backend\n","#%matplotlib widget \n","#Static backend\n","#%matplotlib inline \n","#Interactive backend\n","%matplotlib ipympl "]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"qZQv4TV4FE7G"},"source":["Just as we use the `np` shorthand for `NumPy`, we will use some standard shorthands for `Matplotlib` imports:"]},{"cell_type":"code","execution_count":3,"metadata":{"id":"Dl6TABITFE7G"},"outputs":[],"source":["import matplotlib as mpl\n","import matplotlib.pyplot as plt\n","import numpy as np\n","plt.style.use('seaborn-whitegrid') # or plt.style.use('seaborn-v0_8-whitegrid')"]},{"attachments":{},"cell_type":"markdown","metadata":{},"source":["We can choose the style we would like from the [here](https://matplotlib.org/stable/gallery/style_sheets/style_sheets_reference.html)."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"a_BBEqwSFE7G"},"source":["## Two interfaces for the `matplotlib`"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"kGogJWk1FE7G"},"source":["A feature of `Matplotlib` that may cause confusion is its dual interfaces: a user-friendly functional-style state-based interface and a more powerful object-oriented interface. We'll briefly outline the differences between the two here. Firstly, we create the data we would like to plot. The simplest method, `plot()` accept two `arrays` (`x` and `y`) as inputs. It will plot `y` versus `x` as lines and/or markers."]},{"cell_type":"code","execution_count":4,"metadata":{"id":"D2e003AGFE7H"},"outputs":[{"data":{"text/plain":["((256,), (256,), (256,))"]},"execution_count":4,"metadata":{},"output_type":"execute_result"}],"source":["x = np.linspace(-np.pi, np.pi, 256)\n","C, S = np.cos(x), np.sin(x)\n","x.shape, C.shape, S.shape"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"gIEFO0bLFE7H"},"source":["`x` is now a array with 256 values ranging from $-\\pi$ to $\\pi$ (included). `C` is the cosine (256 values) and `S` is the sine (256 values)."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"GXoPpeALFE7H"},"source":["### Functional Interface"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"PGac_t6DFE7H"},"source":["`Matplotlib` was initially developed as a `Python` alternative for `MATLAB` users, and many aspects of its syntax reflect this origin. The `MATLAB`-style tools can be found in the `pyplot` (`plt`) interface. For instance, the following code might appear quite familiar to MATLAB users:"]},{"cell_type":"code","execution_count":5,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":957,"status":"ok","timestamp":1683109357554,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"Yeeam5sjFE7H","outputId":"f71bbdbf-5fc3-4b92-e12d-91515e0fb19d"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"569d6b3c8a7f4aea965409c2ab040b1d","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["# 1. create a plot figure\n","plt.figure() \n","\n","# 2. create the first of two panels and set current axis\n","plt.subplot(2, 1, 1) # (rows, columns, panel number)\n","plt.plot(x, S)\n","\n","# 3. create the second panel and set current axis\n","plt.subplot(2, 1, 2)\n","plt.plot(x, C)\n","\n","plt.savefig(\"test.jpg\");\n","# Note that the semicolon at the end of the last line is intentional: it suppresses the textual\n","# representation of the plot from the output"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"iUlmafopFE7H"},"source":["It's crucial to understand that this interface is ***stateful***: it maintains information about the \"current\" figure and axes, which serve as the targets for all `plt` commands. We can obtain a reference to these by using the `plt.gcf()` (get current figure) and `plt.gca()` (get current axes) functions."]},{"cell_type":"code","execution_count":6,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":430},"executionInfo":{"elapsed":303,"status":"ok","timestamp":1683109408554,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"yCo7wrKfFE7I","outputId":"42d304ff-6d16-47a3-f20d-64ffcc9ffd91"},"outputs":[{"data":{"text/plain":[""]},"execution_count":6,"metadata":{},"output_type":"execute_result"}],"source":["plt.gca()"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"fGGeQDiGFE7I"},"source":["Although the stateful interface is quick and convenient for basic plots, it can lead to difficulties. For instance, after creating the second panel, how can we return to the first one and add something? While this can be achieved using the MATLAB-style interface, it may be somewhat awkward. Thankfully, there is a more efficient solution."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"8vKqW5alFE7I"},"source":["### Object-oriented interface"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"nFIn0IVbFE7I"},"source":["For more complex scenarios or when greater control over the figure is desired, the object-oriented interface comes in handy. Instead of relying on the concept of an \"active\" figure or axes, the object-oriented interface treats plotting functions as methods of explicit `Figure` and `Axes` objects."]},{"cell_type":"code","execution_count":7,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":1100,"status":"ok","timestamp":1683109476115,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"J9ucugRhFE7I","outputId":"037215f2-56b4-4691-d1fc-8c8a80e213a7"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"69db0484df3742f3b82b5c0a59acc2a9","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["# 1. First create a grid of plots\n","# ax will be an array of two Axes objects\n","fig, ax = plt.subplots(2)\n","\n","# 2. Call plot() method on the appropriate object\n","ax[0].plot(x, S)\n","ax[1].plot(x, C);"]},{"cell_type":"code","execution_count":8,"metadata":{},"outputs":[{"data":{"text/plain":["array([, ], dtype=object)"]},"execution_count":8,"metadata":{},"output_type":"execute_result"}],"source":["ax"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"aV3t94RbFE7I"},"source":["For basic plots, the choice between the two styles is mainly a matter of personal preference. However, as plots become more intricate, the object-oriented approach may be essential."]},{"cell_type":"code","execution_count":9,"metadata":{},"outputs":[],"source":["fig.savefig(\"test.pdf\")"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"JKR1JsR7FE7I"},"source":["## Simple plots"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"GPmkl2gQFE7I"},"source":["### Simple line plots"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"La9MJPX9Jlqz"},"source":["To create a 2D line plot, follow these general steps:\n","\n","1. Call the `plt.figure()` to create a new figure. (optional for `%matplotlib inline`)\n","2. Generate a sequence of $x$ values usually using `linspace()`.\n","3. Generate a sequence of $y$ values usually by substitute the x values into a function.\n","4. Input `plt.plot(x, y, [format], **kwargs)` where `[format]` is an (optional) format string, and `**kwargs` are (optional) keyword arguments specifying the line properties of the plot.\n","5. Utilize `plt` functions to enhance the figure with features such as a title, legend, grid lines, etc.\n","6. Input `plt.show()` to display the resulting figure (this step is optional in a Jupyter notebook)."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"aNO5YAP-Gn7H"},"source":["Let's begin with a basic example where we try plotting the parabola \n"," using 5 points:"]},{"cell_type":"code","execution_count":10,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":945,"status":"ok","timestamp":1683109702939,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"xelwstL6GpsO","outputId":"0a5935c0-aeef-4f3a-f746-6a7794cbf388"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"ae64e40e7f1f4d87a6533a982661d331","version_major":2,"version_minor":0},"image/png":"iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABfbElEQVR4nO3de1xUdd4H8M/MwHAXuYOCICpKOiKCIjhkulleKzWsNW95Kyttn724WbtbW+u25T61lWUmWpZmWpllUm2lT4E3FAVRQkBugspFRYSBGWbmPH8gFKGoMMOZOefzfr18FcPh+PlyBD6cM/M7CkEQBBARERGRbCjFDkBERERE3YsFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmWACJiIiIZIYFkIiIiEhmHMQOYM+MRiMuX74MJycnKJXs0kRERPbAbDZDr9fD09MTDg7yrELynNpCLl++jOLiYrFjEBERUSeEhYXBx8dH7BiiYAHsAicnJwDN/4BcXFwsum+TyYS8vDxERERApVJZdN+2gPPZP6nPyPnsn9Rn5Hyd19DQgOLi4taf43LEAtgFLZd9XVxc4OrqatF9m0wmAICrq6tkv7ABzmfPpD4j57N/Up+R83WdnJ++Jd/JiYiIiGSKBZCIiIhIZlgAiYiIiGSGBZCIiIhIZlgAiYiIiGSGBZCIiIhIZlgAiYiIiGSGBZCIiIhIZmRXAJcsWYKnnnrquu/fv38/pkyZgqioKMydOxdnzpzpxnRERERE1ierArh792788MMP133/2bNn8fjjj2P69On45JNP4O3tjcceewyCIHRjSiIiIiLrkk0BrKmpwcsvvwyNRnPdbT7++GMMGTIECxYswIABA/Diiy+ivLwc6enp3ZiUiIiIyLpkUwBfeukl3Hvvvejfv/91t8nKykJsbGzr2y4uLhg8eDAyMzO7ISERERFR93AQO0B3OHDgAI4cOYJdu3bhueeeu+52VVVV8Pf3b/OYj48Pzp8/3+H+TSZT602rLaG6To+1/3caI3oaLbpfW9IyF+ezX1KfkfPZP6nPKPX5iqqu4N3MWjzTtwH+ni4W3bdUP2e3QvIFUK/X49lnn8Xf/vY3ODs7d7htQ0MD1Gp1m8fUajUMBkOHH5eXl9flnL/09Wkd3jtai6P+agS6Z1t037YmO5vz2Tupz8j57J/UZ5TqfM/9cBHZlQYEfXcME/q5ih1HciRfANesWYMhQ4YgMTHxhts6OTm1K3sGgwE9evTo8OMiIiLg6mq5f5x+oQ3YcOwHHK80wNEvDIN797TYvm2FyWRCdnY2NBoNVCqV2HEsTurzAdKfkfPZP6nPKOX5fjpXi+zK81AqgFl3DEUfH3eL7l+n01n85I29kXwB3L17N6qrqxEdHQ0ArQXvm2++wbFjx9psGxAQgOrq6jaPVVdXIzIyssO/Q6VSWfSLr4+vOyYMCURK9nm8d6AUrzzgY7F92xpLf+5sjdTnA6Q/I+ezf1KfUYrzbdxfAgCID3ZGHx93i88ntc9XZ0i+AH7wwQcwGo2tb//73/8GAPzxj39st21UVBQyMjJa325oaEBOTg6eeOIJ6wf9lUWjw5CSfR67jp/DUxMj4d+j48vXREREUlBR24hdWWcBAFMjeOnXWiT/KuDevXsjNDS09Y+bmxvc3NwQGhoKk8mEqqqq1rOCM2bMwNGjR/HOO+8gPz8fK1euRHBwMOLi4ro9d1RITwzycUSTScCmA8Xd/vcTERGJYdP+YjSZBMSGemGAt/rGH0CdIvkC2JFz585Bq9W2XgoODg7GG2+8gU8//RT3338/ampq8Oabb0KhUIiS756BbgCALYdKoTMYb7A1ERGRfdMZjNhyqBQAsFAbJm4YiZP8JeBf+9e//tX6/8HBwTh16lSb948ZMwZjxozp7ljXFNvLCX28XVF6UYdPM8owJz5M7EhERERW80lGGS43NCHUxxW/GeSP7OPnxI4kWbI+A2jrVAoFHk4IBQBsSCuC2cxb0hERkTSZzAI2phUBABZq+0KlFOfqm1ywANq4GcN7o4ezA4ov6PDdTxVixyEiIrKK736qQPEFHTxdHHF/TLDYcSSPBdDGuTk54KFRzWcBk6/+ZkRERCQ1G1Kbf8Y9FNcHrmrZPUOt27EA2oF58WFwUCqQXnQRx8tqxI5DRERkUVlnapBefBGOKgXmJYSJHUcWWADtQKCnM+6J6gUASE7lWUAiIpKWlitcU6N6IYDr3nYLFkA7sTCxLwBgd/Y5lNc0iJyGiIjIMsprGpCS3fxq30XacJHTyAcLoJ0Y3MsTCf18YDIL2LS/WOw4REREFvHeviKYzAJG9/fBbb16iB1HNlgA7ciiq2cBtx4qxZXGJpHTEBERdc2VxiZ8lH4GAM/+dTcWQDtyR4Q/+vm54YreiO1HysSOQ0RE1CXbDp/BFb0R/f3dMSbCT+w4ssICaEeUSgUWXv0NaWNaEYwms8iJiIiIOsdoMuPdfcUAmhd+VnLh527FAmhnpg/vDW83NcprGvD1yfNixyEiIuqUr06cR3lNA3zc1JgW3VvsOLLDAmhnnB1VmH11Yej1qUUQBN4ejoiI7IsgCEhOLQQAzB4VCmdHlciJ5IcF0A7NGRUKtYMSWWdqkFFySew4REREt+RIySVklV2G2kGJOfGhYseRJRZAO+Tn4YRpw5pPl3NhaCIisjctZ/+mR/eGr7uTyGnkiQXQTrUsDP1NznmUXKgXOQ0REdHNKa6ux39zKgA0v/iDxMECaKciAjwwJsIPgoDWV1ERERHZunf3FUEQgDsG+mFAgIfYcWSLBdCOLU5sXhJm+5EzuKzjwtBERGTbanSG1nVsW36GkThYAO3Y6P4+GBToAZ3BhA/TS8WOQ0RE1KEP00vR0GTCoEAPJPTzETuOrLEA2jGFQoFFV3+Dem9/EQxGLgxNRES2yWA0t97LfnFiOBQKLvwsJhZAO3dPVC/4eziholaP3dlnxY5DRER0TV8eP4uKWj38PZwwNaqX2HFkjwXQzqkdlJiXEAYAWP8jF4YmIiLbIwgC1l9dtmxeQhjUDqwfYuMRkICH4vrAxVGFnHO1OFB4Qew4REREbRw4fQE/nauFi6MKD8X1ETsOgQVQEnq6qnF/TDAALgxNRES2Z/3VhZ+TYoPR01UtchoCWAAlY4G2LxQKYE9uJQoq68SOQ0REBAAoqLyCvaeqoFAAC0Zz4WdbwQIoEX193XBnZAAAYEMazwISEZFtaPmZND4yAGG+biKnoRYsgBLSsqjmjqNluFCnFzkNERHJ3YU6PT49Wg4AWHw7F362JSyAEjIizAtDgz2hN5qx+SAXhiYiInF9cLAEBqMZUcGeiA31EjsO/QILoIT8cmHoDw4Wo7HJJHIiIiKSq8YmEz44UAIAWMSFn20OC6DETBwSiF6ezqiuM+DzzHKx4xARkUztPFaOC/UG9O7pgolDAsWOQ7/CAigxjiolHr76KqvkVC4MTURE3U8QBCRfffHHw6PD4KBi3bA1sjgiJSUlWLhwIaKjo3HHHXcgOTn5utsuXboUAwcObPNn79693Zi26x4YGQJ3JwfkV9bhh7wqseMQEZHM/F9eFQoq6+Du5ICZI0LEjkPX4CB2AGszm81YsmQJNBoNPvvsM5SUlOD3v/89AgICMHXq1Hbbnz59GqtXr0Z8fHzrY56ent0Zuct6ODvigREh2JBWhA1pRbhjoL/YkYiISEY2XL0pwYMjQtDD2VHkNHQtkj8DWF1djcjISDz33HMICwvDmDFjEB8fj4yMjHbbGgwGlJWVQaPRwM/Pr/WPWm1/q5bPTwiDUgGk5lfjp3O1YschIiKZyDlbi7SCaqiUCswfHSZ2HLoOyRdAf39//Oc//4G7uzsEQUBGRgYOHz6MkSNHttu2sLAQCoUCISH2f7o6xNsVEzVBALgwNBERdZ+WnzkThwQi2MtV5DR0PZK/BPxL48aNw9mzZzF27Fjcfffd7d5fWFgId3d3rFixAunp6QgMDMSyZcswZsyYDvdrMplgMll2yZWW/XVlvwsSQrH7+Dl8nlmOP9zZH/49nC0Vr8ssMZ8tk/p8gPRn5Hz2T+oz2uJ8FbWN+CKreQWKBQmhXcpmzfls6XMmFoUgo5eJZmdno7q6Gs899xzGjx+Pv/zlL23ev2bNGqxfvx7PPvssbrvtNnz77bdYu3Yttm3bBo1G025/Op0OP/30U3fF75Rn9lxA7oUmzIh0w6whHmLHISIiCduSfQU7cusR6euIf4z1ETvODUVGRsLVVZ5nKWVVAFt8/fXX+OMf/4ijR4+2eX6f2WzGlStX2rzo49FHH4Wfnx9eeOGFdvtpKYAREREW/wdkMpmQnZ0NjUYDlUrV6f18c/I8HvswEz1dHJG6Ygxc1bZx0tdS89kqqc8HSH9Gzmf/pD6jrc2nMxihffkHXG5owluzonH34IAu7c+a8+l0OuTl5cm6ANpGG7Ci6upqZGZm4s4772x9rH///mhqakJdXR28vb1bH1cqle1e8RseHo6CgoIO/w6VSmW1L76u7vvuIb3QxzsPpRd12Jl5DnPiwywXzgKs+bmzBVKfD5D+jJzP/kl9RluZ77PMM7jc0IRQH1fcPSQIKqVl7vxhjfls4fMlNsm/CKSsrAxPPPEEKioqWh87ceIEvL2925Q/AHjqqaewcuXKNo/l5uYiPNx+b2CtUiqw4OqrsDakFcFslt0JXyIisjKTWcDGqy/+WDC6r8XKH1mP5AugRqPB4MGD8fTTT6OgoAA//PADVq9ejUcffRQAUFVVhcbGRgDNLxLZtWsXdu7ciZKSEqxZswYZGRmYPXu2mCN0WVJsCHo4O6D4gg7f/VRx4w8gIiK6Bd/9VIHiCzp4ujgiKTZY7Dh0EyRfAFUqFd566y24uLjggQcewDPPPIM5c+Zg7ty5AACtVouUlBQAwF133YVnn30Wa9euxZQpU7Bnzx4kJycjONi+/zG7OTlgVlwoALTemoeIiMhSWhZ+nhXXx2aea04dk8VRCggIwJo1a675vlOnTrV5OykpCUlJSd0Rq1vNTwhDcmoh0osu4nhZDYYG9xQ7EhERSUDWmRqkF1+Eo0qB+QlhYsehmyT5M4DULNDTGVOjegEAklN5FpCIiCyj5crS1KG9EGBD681Sx1gAZWShti8AYHf2OZTXNIichoiI7F15TQNSss8BABYm9hU5Dd0KFkAZGdLbE/HhPjCZBWzaXyx2HCIisnPv7SuCySwgoZ8PBvfyvPEHkM1gAZSZxbc3/4a29VAprjQ2iZyGiIjs1ZXGJnyUfgYAsDjRfpdLkysWQJm5I8If4X5uuKI3YvuRMrHjEBGRndp2+Ayu6I3o5+eGMRF+YsehW8QCKDNKpQKLtM2/qW1MK4LRZBY5ERER2RujyYx39xUDABYlhkPJhZ/tDgugDE0f3hvebmqU1zTgm5NcGJqIiG7N1yfPo7ymAT5uakyL7i12HOoEFkAZcnZUYfao5oWh16cWQhB4ezgiIro5giBg/dXlxGaPCoWzI++ra49YAGVqzqhQqB2UyDxTg6Oll8SOQ0REdiKj5BKyztRA7aDEnPhQseNQJ7EAypSfhxOmDWs+bb/+Ry4MTUREN2d9aiEAYHp0b/i6O4mchjqLBVDGWhbt/CbnPEou1IuchoiIbF3JhXr8N6f5ueMtNxcg+8QCKGMRAR4YE+EHQUDrq7mIiIiuZ2NaEQQBuGOgHwYEeIgdh7qABVDmWhbv3H7kDC7ruDA0ERFd22VdU+v6sVz42f6xAMrc6P4+GBToAZ3BhA/TS8WOQ0RENmpLegkamkwYFOiBhH4+YsehLmIBlDmFQoFFV3+Te29/EQxGLgxNRERtGYzm1nvIL04Mh0LBhZ/tHQsgYWpUEPw8nFBRq8fu7LNixyEiIhvz5fGzqKjVw9/DCVOjeokdhyyABZDg5KDC/IQwAEByahEXhiYiolaCICD56sLP8xLCoHZgdZACHkUCAMwa2QfOjkqcPFuLA4UXxI5DREQ24sDpC8g5VwsXRxUeiusjdhyyEBZAAgB4uamRFBMCANiQyoWhiYioWXJa88+EpNhg9HRVi5yGLIUFkFot0PaFQgF8n1uJgso6seMQEZHICiqvYE9uJRQKYMFoLvwsJSyA1KqvrxvujAwAAGzcx7OARERytyGtGAAwPjIAYb5u4oYhi2IBpDYWXb21z6cZZbhQpxc5DRERieVCnR47jjYv/LyICz9LDgsgtTGyrzeGBntCbzRj80EuDE1EJFcfHCyB3mhGVLAnRoR5iR2HLIwFkNpQKBStN/j+4GAxGptMIiciIqLu1thkwgcHSgAAC7nwsySxAFI7kzRB6OXpjOo6Az7PLBc7DhERdbOdx8pxod6A3j1dMGlIoNhxyApYAKkdR5US80eHAeDC0EREciMIQuvSL/MTwuCgYlWQIh5VuqYHR/aBm1qF/Mo6/JBXJXYcIiLqJv+XV4WCyjq4OznggZEhYschK2EBpGvq4eyIB0Y0r/i+IY1LwhARyUXLzQAeGBGCHs6OIqcha2EBpOt6eHQYlAogNb8aP52rFTsOERFZWc7ZWqQVVEOpaP4ZQNLFAkjXFeLtiolDggDwLCARkRy0fK+fqAlCsJeryGnImmRRAEtKSrBw4UJER0fjjjvuQHJy8nW3zcnJQVJSEqKiojBjxgycOHGiG5PankWJzUvCfJ5ZjsraRpHTEBGRtVTUNuKLrOaVHxZz4WfJk3wBNJvNWLJkCby8vPDZZ5/h73//O9auXYtdu3a121an02HJkiWIjY3Fjh07EB0djUceeQQ6nU6E5LYhuo8XYkK90GQS8P7VNaGIiEh63j9QjCaTgNhQLwwL6Sl2HLIyyRfA6upqREZG4rnnnkNYWBjGjBmD+Ph4ZGRktNs2JSUFTk5OWLFiBfr164dnnnkGbm5u+Prrr0VIbjsWXz0LuPlQCXQGo8hpiIjI0nQGY+vdn3jbN3mQfAH09/fHf/7zH7i7u0MQBGRkZODw4cMYOXJku22zsrIQExPTuuK5QqHA8OHDkZmZ2c2pbcv42wLRx9sVNbomfHqUC0MTEUnNpxlluNzQhFAfV4y/LUDsONQNHMQO0J3GjRuHs2fPYuzYsbj77rvbvb+qqgr9+/dv85iPjw/y8/M73K/JZILJZNlbprXsz9L77az5CaF4/sufsCG1EA/G9IZS2bXbAtnafJYm9fkA6c/I+eyf1Ge01Hwm8y8Wfo4PBQQzbOFTZs3jJ9V/E7dCVgXw9ddfR3V1NZ577jm8+OKL+Mtf/tLm/Q0NDVCr1W0eU6vVMBgMHe43Ly/P4llbZGdnW23ftyLC0Qw3RwWKL+iw4etDGNHL2SL7tZX5rEXq8wHSn5Hz2T+pz9jV+dLLG1FyQQc3RwUGOF5AZuYlCyWzDKkfP7HIqgBqNBoAgF6vxx//+EesWLGiTeFzcnJqV/YMBgOcnTsuOxEREXB1tezL5U0mE7Kzs6HRaKBSqSy6786afeEU1v1YhD3lCiyeNKxL+7LF+SxJ6vMB0p+R89k/qc9oqfn+dfgQAGBOfBjiYwdaKl6XWfP46XQ6q568sQeSL4DV1dXIzMzEnXfe2fpY//790dTUhLq6Onh7e7c+HhAQgOrq6nYf7+/v3+HfoVKprPbNxZr7vlXzR/fFhrRipBdfwslzVzA0uGeX92lL81mD1OcDpD8j57N/Up+xK/NlnanB4eJLcFAqMH90uE1+nqxx/Gxxzu4m+ReBlJWV4YknnkBFRUXrYydOnIC3t3eb8gcAUVFROHbsGARBANB8Q+yjR48iKiqqWzPbqiBPF0yN6gUASE7lwtBERPau5bl/90T1QqCnZZ7aQ/ZB8gVQo9Fg8ODBePrpp1FQUIAffvgBq1evxqOPPgqg+YUfjY3NCxxPmDABtbW1WLVqFQoKCrBq1So0NDRg4sSJYo5gUxZqm5eE2Z19DmdrGkROQ0REnVVe04CU7HMAgIVXl/si+ZB8AVSpVHjrrbfg4uKCBx54AM888wzmzJmDuXPnAgC0Wi1SUlIAAO7u7li3bh0yMjIwffp0ZGVl4Z133rH48/vs2ZDenogP94HJLOC9/cVixyEiok56b18RTGYBCf18MLiXp9hxqJtJ/jmAQPNz+9asWXPN9506darN20OHDsVnn33WHbHs1uLb++JA4QVsPVSK5b8ZAHcnWfwzIiKSjCuNTfgo/QwA3vZNriR/BpAs744If4T7ueGK3ohth8+IHYeIiG7RtsNncEVvRD8/N4yJ8BM7DomABZBumVKpwCJt82+M7+4rgtFkFjkRERHdLKPJjHf3FQNovu1bVxf2J/vEAkidMn14b3i7qVF2qQHfnKy48QcQEZFN+PrkeZTXNMDHTY1p0b3FjkMiYQGkTnF2VGH2qFAAQHJaochpiIjoZgiCgPVXl/GaPSoUzo5cD0+uWACp0+aMCoXaQYljpTXIKLkodhwiIrqBjJJLyDpTA7WDEnPiQ8WOQyJiAaRO8/NwwrRhzZcPuDA0EZHta/lePT26N3zdnUROQ2JiAaQuaVk89JuT51F6QSdyGiIiup6SC/X4Juc8gJ8X9Sf5YgGkLokI8MCYCD+YBWDjPp4FJCKyVRvTiiAIwB0D/TAgwEPsOCQyFkDqskVXzwJuP3IGl3VNIqchIqJfu6xrwvYjZQDQuowXyRsLIHWZtr8vBgV6QGcw4cP0UrHjEBHRr2xJL0FDkwmDAj0wur+P2HHIBrAAUpcpFIrW55O8t78IBiMXhiYishUGoxmbrt67fVFiOBQKLvxMLIBkIfcM6wU/DydU1OqxO/us2HGIiOiqL4+fRUWtHv4eTrgnqpfYcchGsACSRTg5qDDv6ppSyalFEARB5ERERCQIQuvSL/MSwqB24I99asZ/CWQxD8WFwtlRiZNna3Gg8ILYcYiIZO/A6QvIOVcLF0cVHorrI3YcsiEsgGQxXm5q3B8TDADYwIWhiYhEl5zW/L34/phg9HRVi5yGbAkLIFnUgtF9oVAA3+dWoqCyTuw4RESyVVB5BXtyK6FQAAu48DP9CgsgWVS4nzt+MygAABeGJiIS04a0YgDAnZEB6OvrJm4YsjksgGRxi68uDP1pRhku1OlFTkNEJD8X6vTYcbR54efFiVz4mdpjASSLG9nXG5rentAbzdhyiAtDExF1t80HS6E3mjE02BMjwrzEjkM2iAWQLE6hULTeHu79A8VobDKJnIiISD4am0z44GAxAC78TNfHAkhWMUkThCBPZ1TXGfBFJheGJiLqLp9nlqO6zoBens6YOCRQ7Dhko1gAySocVUo8PDoMAJCcVsiFoYmIusEvF35+eHRfOKr4Y56ujf8yyGoeGNEHbmoV8irq8GN+tdhxiIgk74e8KuRX1sHdyQEPjAwROw7ZMBZAshpPF0c8MKJ55fnk1EKR0xARSV/L2b8HRoSgh7OjyGnIlrEAklU9PDoMSgWQml+N3PO1YschIpKsn87VIq2gGkoFMD8hTOw4ZONYAMmqQrxdMXFIEICffzMlIiLLa/keO1EThBBvV5HTkK1jASSrW3h1SZjPM8tRWdsochoiIumprG3EF1nlAIBFvO0b3QQWQLK64X28EBPqhSaTgPcPlIgdh4hIcjYdKEaTSUBsqBei+3DhZ7oxFkDqFi23h9t8qAQNBi4MTURkKTqDsfWuS4t42ze6SSyA1C3G3xaIPt6uqNE14ZOr96ckIqKu23H0LGp0TQj1ccX42wLEjkN2QhYFsKKiAsuXL8fIkSORmJiIF198EXq9/prbLl26FAMHDmzzZ+/evd2cWHpUSgUWXF0YemNaEcxmLgxNRNRVZkHAxv3FAIAFo/tCpeRt3+jmOIgdwNoEQcDy5cvRo0cPbNmyBZcvX8bTTz8NpVKJP//5z+22P336NFavXo34+PjWxzw9PbszsmQlxYbglW/zUFRdjz2nquArdiAiIjt35KweJRd06OHsgPtjgsWOQ3ZE8mcACwsLkZmZiRdffBEDBgxAbGwsli9fji+//LLdtgaDAWVlZdBoNPDz82v9o1arRUguPW5ODpgVFwoA2LiPS8IQEXXVrrx6AMBDo0Lh5iT5czpkQZIvgH5+fkhOToavb9vzTXV1de22LSwshEKhQEgIb59jLfMSQuGgVOBQ0SWcvtQkdhwiIrt1vOwycqqb4KBUYF58mNhxyM5I/teFHj16IDExsfVts9mMzZs3Y9SoUe22LSwshLu7O1asWIH09HQEBgZi2bJlGDNmTId/h8lkgslk2Ve2tuzP0vsVm7+7GlOGBmFn5lnsyqvHfbdLa74WUj1+vyT1GTmf/ZP6jBvSmq+kTNYEws/dUXJzWvP4Se1z1RmSL4C/tnr1auTk5OCTTz5p977CwkI0NjZCq9ViyZIl+Pbbb7F06VJs27YNGo3muvvMy8uzWt7s7Gyr7Vsso32bsBPAvjON2HsoE76uKrEjWY0Uj9+vSX1Gzmf/pDhjlc6ElBNVAIBEfwMyMzPFDWRFUjx+tkBWBXD16tXYtGkTXn31VURERLR7/2OPPYY5c+a0vuhj0KBBOHnyJLZv395hAYyIiICrq2Vvu2MymZCdnQ2NRgOVSloFaRiAT08fwsGiS0ivccXTCZFiR7I4KR+/FlKfkfPZPynP+M+vcmEWqqDxV+OexOGSmw+w7vHT6XRWPXljD2RTAF944QVs3boVq1evxt13333NbZRKZbtX/IaHh6OgoKDDfatUKqt98Vlz32JaqO2Lg0WXsO1IOf7nrkFwl+iTl6V6/H5J6jNyPvsntRmvNDZh++Hm9VSnRrhKbr5fs8Z8Uv583SzJvwgEANasWYOPPvoIr7zyCiZPnnzd7Z566imsXLmyzWO5ubkID+fK6pZ2R4QfenmoUKc3YtvhM2LHISKyG9sOn8EVvRH9/NwQHegkdhyyU5IvgKdPn8Zbb72FxYsXIyYmBlVVVa1/AKCqqgqNjY0AgHHjxmHXrl3YuXMnSkpKsGbNGmRkZGD27NlijiBJSqUCUwe4AQDe3VcEo8ksciIiIttnNJnx7r5iAMDDCWFQKrjwM3WO5Avg999/D5PJhLVr10Kr1bb5AwBarRYpKSkAgLvuugvPPvss1q5diylTpmDPnj1ITk5GcDAX17SGMWEu8HJ1RNmlBnxzskLsOERENu/rk+dRXtMAbzc1pkX3EjsO2TFpPvHqF5YsWYIlS5Zc9/2nTp1q83ZSUhKSkpKsHYsAOKkUeCiuD9bsPY3ktEJMHhokdiQiIpslCALWpzYv/TJ7VCicHfk8Nuo8yZ8BJNs2Z1QfqFVKHCutQUbJRbHjEBHZrIySS8g6UwO1gxJzRoWKHYfsHAsgicrX3Qn3Xb2MkZzK28MREV1Py/fIacN6w8+DL/6grmEBJNEtSmx+lfU3J8+j9IJO5DRERLan5EI9vsk5DwBYmNhX5DQkBSyAJLqIAA/cHuEHswBs3MezgEREv/buvmIIAjAmwg8RAR5ixyEJYAEkm7D46m+024+cwWVdk8hpiIhsx2VdE7YfaV4vdXEi16Uly2ABJJug7e+LQYEe0BlM2Hq4VOw4REQ248P0UugMJgwK9MDo/j5ixyGJYAEkm6BQKLBQ23wW8L19xTAYuTA0EZHBaMZ7+5ufGrMoMRwKLvxMFsICSDbjnmG94OfhhPO1jUjJPid2HCIi0e3OPouKWj38PJwwNYprpZLlsACSzXByUGFefPPaVutTCyEIgsiJiIjEIwgC1v/YfPZvfkIYnBy48DNZDgsg2ZSH4kLh7KjEybO1OFjIhaGJSL4OFF5AzrlaODsqMWtkH7HjkMSwAJJN8XJT4/6Y5nsvJ6cWipyGiEg8LQs/J8WEwMtNLXIakhoWQLI5C0b3hUIBfJ9bidNVdWLHISLqdgWVddiTWwmFAlig5cLPZHksgGRzwv3c8ZtBAQCADWlcGJqI5Kfle9+dkQHo6+smchqSIhZAskmLri4M/WlGGS7WG0ROQ0TUfS7U6bHjaBkAYBHP/pGVsACSTYrr6w1Nb0/ojWZsPlgidhwiom6z+WAp9EYzhgZ7YmRfb7HjkESxAJJNUigUrWcB3z9QjMYmk8iJiIisr7HJhA8OFgMAFmr7cuFnshoWQLJZkzRBCPJ0RnWdAV9knhU7DhGR1X2eWY7qOgN6eTpjkoYLP5P1sACSzXJUKTE/IQwAkJzGhaGJSNoEQWhd+mX+6DA4qvgjmqyH/7rIpj04sg/c1CrkVdThx/xqseMQEVnND3lVyK+sg7uTAx7kws9kZSyAZNM8XRzxwIjmb4RcGJqIpKxl6ZcHRoSgh7OjyGlI6lgAyeY9PDoMSgWQml+N3PO1YschIrK4n87VIjW/GkoFWp/6QmRNLIBk80K8XTFxSPOToVueH0NEJCUt39smaoIQ4u0qchqSAxZAsgsLry4J83lmOSprG0VOQ0RkOZW1jfgiqxwAF36m7sMCSHZheB8vxIR6ockk4P0DXBiaiKRj04FiNJkExIZ6IbqPl9hxSCZYAMlutPxmvPlQCRoMXBiaiOyfzmDElkOlAH6+BSZRd2ABJLtx1+BAhHi7oEbXhE+u3ieTiMiefZpRhhpdE/p4u2L8bYFixyEZYQEku6FSKrBgdPNvyBvTimA2c2FoIrJfZrPQuvTLgtFhUCl52zfqPiyAZFdmxobAw9kBRdX1+D63Uuw4RESd9t1PFSi+oEMPZwckxYaIHYdkhgWQ7IqbkwNmxXFhaCKyf8lXz/7NiguFm5ODyGlIblgAye7MTwiDg1KBQ0UXkV12Wew4RES37HhZDdKLLsJBqeDCzyQKWRTAiooKLF++HCNHjkRiYiJefPFF6PX6a26bk5ODpKQkREVFYcaMGThx4kQ3p6UbCfJ0wZShVxeGTuNZQCKyPy0LP0+N6oVAT2eR05AcSb4ACoKA5cuXo6GhAVu2bMGrr76KvXv34j//+U+7bXU6HZYsWYLY2Fjs2LED0dHReOSRR6DT6bo/OHVoUWI4AODL4+dwtqZB5DRERDevvKYBu7PPAQAWcuFnEonkC2BhYSEyMzPx4osvYsCAAYiNjcXy5cvx5Zdftts2JSUFTk5OWLFiBfr164dnnnkGbm5u+Prrr0VITh0Z0tsTo8K9YTIL2LS/WOw4REQ3bdP+YpjMAuLDfTCkt6fYcUimJF8A/fz8kJycDF9f3zaP19XVtds2KysLMTExUCiaX4qvUCgwfPhwZGZmdkdUukWLr54F/DC9FHV6o8hpiIhu7EpjE7ZeXfh58e08+0fikfzLjnr06IHExMTWt81mMzZv3oxRo0a127aqqgr9+/dv85iPjw/y8/M7/DtMJhNMJsvemaJlf5ber62wxHy39/dBuK8bCqvr8VF6CR62oSdSS/34AdKfkfPZP1uccVt6Ka7ojQj3dUNiP58uZbPF+SzJmvNJ9XN2KyRfAH9t9erVyMnJwSeffNLufQ0NDVCr1W0eU6vVMBgMHe4zLy/Pohl/KTs722r7tgVdnW98HxXWVQPv7M3HUOdLNreQqtSPHyD9GTmf/bOVGU1mAev+rwoAMD5UhePHsyyyX1uZz1qkPp9YZFUAV69ejU2bNuHVV19FREREu/c7OTm1K3sGgwHOzh2/QisiIgKurq4WzWoymZCdnQ2NRgOVSmXRfdsCS8038DYTtuf+Hyp1TahUB2HiENu4lZLUjx8g/Rk5n/2ztRlTss+jSlcBb1dHLJ8aB2fHrmWytfkszZrz6XQ6q568sQeyKYAvvPACtm7ditWrV+Puu+++5jYBAQGorq5u81h1dTX8/f073LdKpbLaF581920Lujqfu4sKc0aF4vU9BdiwrxhTonpbMF3XSf34AdKfkfPZP1uYURAEbNhXDACYHR8GN2d1xx9wC2xhPmuyxnxS/nzdLMm/CAQA1qxZg48++givvPIKJk+efN3toqKicOzYMQhC8z1mBUHA0aNHERUV1V1RqRNmx4dCrVLiWGkNMkouiR2HiKido6WXkHmmBmoHJeaMChU7DpH0C+Dp06fx1ltvYfHixYiJiUFVVVXrH6D5hR+NjY0AgAkTJqC2tharVq1CQUEBVq1ahYaGBkycOFHMEegG/D2ccV90LwC8PRwR2ab1PzYv/DxtWG/4eTiJnIZIBgXw+++/h8lkwtq1a6HVatv8AQCtVouUlBQAgLu7O9atW4eMjAxMnz4dWVlZeOeddyz+/D6yvIXa5iVhvjl5HqUXuHA3EdmOkgv1+CbnPABgYSKXfiHbIPnnAC5ZsgRLliy57vtPnTrV5u2hQ4fis88+s3YssrCBgR64PcIPP+ZVYeO+Ijx3z2CxIxERAQDe3VcMQQDGRPghIsBD7DhEAGRwBpDkY9HVWyptP3IGlxuaRE5DRARc1jVh+5EzAIBFPPtHNoQFkCQjcYAvBgZ4QGcwYWt6qdhxiIjwYXopdAYTBgV6QNvf98YfQNRNWABJMhQKRevza97bV4wmk1nkREQkZwajGe/tb37xx0Jt39bbjBLZAhZAkpR7h/WCr7sTztc2Yvfxc2LHISIZ2519FhW1evh5OOGeYb3EjkPUBgsgSYqTgwrz4pvX2EpOK2xd05GIqDsJgoDk1Oazf/PiQ+HkwIWHybawAJLkPDQqFM6OSpwor8XBwotixyEiGTpQeAEnz9bC2VGJh+K48DPZHhZAkhxvNzVmDA8GwIWhiUgcLWf/7o8Jhpeb5W77RmQpLIAkSc1PuAa+z63E6ao6seMQkYwUVNZhT24lFIqfF6knsjUsgCRJ4X7u+M2gAADAhrQikdMQkZy0fM+5MzIAfX3dRE5DdG0sgCRZLYuufppRhov1BpHTEJEcXKjTY8fRMgA/L05PZItYAEmy4vp6Q9PbE3qjGZsPlogdh4hkYPPBUuiNZgwN9sTIvt5ixyG6LhZAkiyFQtF6FvD9A8VobDKJnIiIpKyxyYQPDhYD4MLPZPtYAEnSJmmCEOTpjOo6A77IPCt2HCKSsM8zy1FdZ0AvT2dM0gSJHYeoQyyAJGmOKiXmJ4QB4MLQRGQ9v1z4ef7oMDiq+OOVbBv/hZLkPTiyD9zUKuRV1OHH/Gqx4xCRBP2QV4X8yjq4qVV4cGQfseMQ3RALIEmep4sjZo4IAcCFoYnIOlqWfnlgRB/0cHYUOQ3RjbEAkiwsGN0XSgWQml+N3PO1YschIgn56VwtUvOroVQAD48OEzsO0U1hASRZCPF2xYQhgQCADalcGJqILKfl7N/EIUEI8XYVOQ3RzWEBJNlYlNh8S6bPM8+i8kqjyGmISAoqaxvxeWY5gJ8XnyeyByyAJBvD+3hheJ+eMJjM+OAAF4Ymoq57/0AJmkwCYkK9EN3HS+w4RDeNBZBkZfHVs4CbD5agwcCFoYmo83QGIzYfav5lcjHP/pGdYQEkWblrcCBCvF1wSdeET6/er5OIqDM+PVqOGl0T+ni7YvxtgWLHIbolLIAkKyqlAgtGN/+mvjGtCGYzF4YmoltnNgvYePXFHwtGh0Gl5G3fyL6wAJLsJMWGwMPZAYXV9diTWyl2HCKyQ9/nVqKouh49nB2QFBsidhyiW8YCSLLj7uSAWXHNK/Wv58LQRNQJLd87ZsWFws3JQeQ0RLeOBZBkaX5CGByUChwquojssstixyEiO3K8rAbpRRfhoFRgXkKo2HGIOoUFkGQpyNMFU4YGAQCS03gWkIhuXvLVxeSnRvVCkKeLyGmIOocFkGSrZWHo3cfP4WxNg8hpiMgenK1pwO7scwCAhVou/UL2iwWQZGtIb0+MCveG0Sxg0/5iseMQkR14b38xTGYB8eE+GNLbU+w4RJ3GAkiytkjbfBbww/RS1OmNIqchIltWpzdi66FSALztG9k/WRVAg8GAKVOm4NChQ9fdZunSpRg4cGCbP3v37u3GlNSdxg3yR7ivG640GrH98Bmx4xCRDdt2+Ayu6I0I93PD2IH+Ysch6hLZvHZdr9fjD3/4A/Lz8zvc7vTp01i9ejXi4+NbH/P05Gl+qVIqFVig7Yu/7DyBjfuKMC+BC7oSUXtGkxnv7mt+8cdCbV8o+X2C7JwszgAWFBRg5syZKC0t7XA7g8GAsrIyaDQa+Pn5tf5Rq9XdlJTEMGN4MLxcHVF2qQHfnDwvdhwiskHfnKxA2aUGeLk6YsbwYLHjEHWZLApgeno64uLisG3btg63KywshEKhQEgIV3WXExe1CrNHNa/lxYWhiejXBEFo/d4wZ1QonB1VIici6jpZXAKeNWvWTW1XWFgId3d3rFixAunp6QgMDMSyZcswZsyYDj/OZDLBZDJZImqbff7yv1Jja/M9NDIE6344jWOlNThcVI3hfby6tD9bm88apD4j57N/lpoxo+QSMs/UQK1S4KG4EJv5nEn9GFpzPql+zm6FLArgzSosLERjYyO0Wi2WLFmCb7/9FkuXLsW2bdug0Wiu+3F5eXlWy5SdnW21fdsCW5pPG+KMPcUN+N8vM/GnhK4VwBa2NJ+1SH1Gzmf/ujrj/+6/BKD5e0RZwU8os0QoC5L6MZT6fGJhAfyFxx57DHPmzGl90cegQYNw8uRJbN++vcMCGBERAVdXV4tmMZlMyM7OhkajgUolvcsNtjjfH4OuYM/r+5B+Vg/vPhHo4935Y2qL81ma1GfkfPbPEjOWXNAh/eyPAIA/3TMcEQEelozYJVI/htacT6fTWfXkjT1gAfwFpVLZ7hW/4eHhKCgo6PDjVCqV1b74rLlvW2BL893WqycSB/giNb8amw6U4rl7Bnd5n7Y0n7VIfUbOZ/+6MuP7B0shCMDtEX6I7NXTssEsROrH0BrzSfnzdbNk8SKQm/XUU09h5cqVbR7Lzc1FeHi4SImouy2+enu47UfO4HJDk8hpiEhMl3VN2H6keX3QxVz4mSRG9gWwqqoKjY2NAIBx48Zh165d2LlzJ0pKSrBmzRpkZGRg9uzZIqek7pI4wBcDAzygM5iwNb3jZYOISNo+TC+FzmDCoEAPaPv7ih2HyKJkXwC1Wi1SUlIAAHfddReeffZZrF27FlOmTMGePXuQnJyM4GCu+SQXCoUCC6/+pv/evmI0mcwiJyIiMRiMZry3/+eFnxUKLvxM0iK75wCeOnWqw7eTkpKQlJTUnZHIxtw7rBde/voUztc2Yvfxc7gvurfYkYiom+3OPouKWj38PJxwz7BeYschsjjZnwEk+jUnBxXmxTcvDJ2cVghBEERORETdSRAEJKc2n/2bFx8KJwe+YICkhwWQ6BoeGhUKZ0clTpTX4mDhRbHjEFE3OlB4ASfP1sLZUYmH4kLFjkNkFSyARNfg7aZuvd/nhjTeHo5ITjZcPft3f0wwvNx4L3iSJhZAoutYqG1+Mch3P1XidFWdyGmIqDsUVNbh+9xKKBTAgtFc+oWkiwWQ6DrC/dxxZ6Q/AGBjWpHIaYioO2zc1/y1/ptBAQj3cxc5DZH1sAASdWDR1YWhP8kow8V6g8hpiMiaLtTp8WlG851+ufAzSR0LIFEH4vp6Y0jvHtAbzdhysETsOERkRVsOlUJvNEPT2xMj+3qLHYfIqlgAiTqgUChabw+36UAJGptMIiciImtobDLh/QPFAIBFiVz4maSPBZDoBiZpghDk6YzqOj2+yDordhwisoIvMs+ius6AIE9nTNIEiR2HyOpYAIluwFGlxPyEMADNy0NwYWgiaREEAclXl3t6eHQYHFX80UjSx3/lRDfhwZF94KZW4VTFFaTmV4sdh4gs6Mf8auRV1MFNrcIDI/qIHYeoW7AAEt0ETxdHzBwRAgBYn8qFoYmkJPnq1/QDI/rA08VR5DRE3YMFkOgmLRjdF0oFkJpfjVPnr4gdh4gsIPd8LVLzq6FUNF/+JZILFkCimxTi7YoJQwIB/HzGgIjsW/LV275NHBKEEG9XkdMQdR8WQKJbsFDbvCTM55lnUXmlUeQ0RNQVlbWN+DyzHACwkAs/k8ywABLdgphQLwzv0xMGkxkfHODC0ET27P0DJWgyCVe/rr3EjkPUrVgAiW5Ry+3hNh8sQYOBC0MT2aMGgwmbDzX/ErdIy7N/JD8sgES36O7BgQjxdsElXRM+PVomdhwi6oRPjpahRteEEG8X3DU4UOw4RN2OBZDoFqmUCjyc0HzGYGNaEcxmLgxNZE/MZgEb05pf/LFgdF+olLztG8kPCyBRJ8wcEQIPZwcUVtdjT26l2HGI6BZ8n1uJoup6eDg7YGZsiNhxiETBAkjUCe5ODpg1svmOAVwYmsi+tHzNzorrAzcnB5HTEImDBZCok+aPDoODUoFDRReRXXZZ7DhEdBOOl9UgvegiHJSK1nt8E8kRCyBRJwV5umDy0CAAaL2RPBHZtpaFn6cMDUKQp4vIaYjEwwJI1AWLri4Mvfv4OZytaRA5DRF15GxNA3ZnnwPw83JORHLFAkjUBZpgT8T19YbRLGDT/mKx4xBRB97bXwyTWcCocG8M6e0pdhwiUbEAEnXR4qtnEj5ML0Wd3ihyGiK6ljq9EVsPlQL4+WuWSM5YAIm6aNwgf4T7uuFKoxHbD58ROw4RXcO2w2dwRW9EuJ8bxg70FzsOkehYAIm6SKlUYMHVW0lt3FcEExeGJrIpRpMZ7+5rfvHHQm1fKLnwMxELIJElzBgeDC9XR5RdasA3J8+LHYeIfuG/OZUou9QAL1dHzBgeLHYcIpvAAkhkAS5qFWaPCgUAJHNhaCKbsvHq2b85o0Lh7KgSOQ2RbZBVATQYDJgyZQoOHTp03W1ycnKQlJSEqKgozJgxAydOnOjGhGTP5sSHQq1S4mhpDY6WXhI7DhEByK024NiZy1CrlJgTHyZ2HCKbIZsCqNfr8fvf/x75+fnX3Uan02HJkiWIjY3Fjh07EB0djUceeQQ6na4bk5K98vdwxr3DegEANu4rFjcMEQEAduXVAwDui+4FPw8nkdMQ2Q5ZFMCCggLMnDkTpaWlHW6XkpICJycnrFixAv369cMzzzwDNzc3fP31192UlOxdy+Ky35ysQEU9l4QhElPpRR3Sy/UAuPAz0a/JogCmp6cjLi4O27Zt63C7rKwsxMTEQKFofoWYQqHA8OHDkZmZ2Q0pSQoGBnogcYAvzAKwO59njonE9N7+EpgBJA7wRUSAh9hxiGyKg9gBusOsWbNuaruqqir079+/zWM+Pj4dXjYGAJPJBJPJ1Ol819vnL/8rNVKeb+HoMKTmV+P7wgacq9EhqKer2JGsQsrHEOB89q6ythEfZ5QBABbE95HknFI/htacT6qfs1shiwJ4sxoaGqBWq9s8plarYTAYOvy4vLw8q2XKzs622r5tgRTncxcE9PF0QOllI6a8kYbfxXlC4y/d5x5J8Rj+EuezP9mVevzn0GXoDGaEejrAQ1eOzMyzYseyGikew1+S+nxiYQH8BScnp3Zlz2AwwNnZucOPi4iIgKurZc/ymEwmZGdnQ6PRQKWS3rIFUp/vnV61WPReOspqjXj+x0tYNrY/Hh/bDyoJLUAr9WPI+eyPySxgzd4CvPHjeQgCMMDfDcuGu2Do0KGSmfGXpHgMf8ma8+l0OquevLEHLIC/EBAQgOrq6jaPVVdXw9+/49sGqVQqq33xWXPftkCq8w0I6IGXf+ODz0od8HFGOV7bU4D04kt47cFh8O/R8S8U9kaqx7AF57MPlbWNWP7RMRwsvAgAmBkbjL9NjsSpnGzJzHg9nK9z+5Q7WbwI5GZFRUXh2LFjEITmW3kJgoCjR48iKipK5GRkj5wcFPjXdA1emRkFV7UKBwovYNLrqUjNrxI7GpGk/JhXhYmvpeJg4UW4qlV49YEovHx/FFzU/CFPdD2yL4BVVVVobGwEAEyYMAG1tbVYtWoVCgoKsGrVKjQ0NGDixIkipyR7Nn14ML54QotBgR6orjNg7sZ0/PubUzCazGJHI7JrRpMZq7/Jxbx303Gh3oBBgR7YtUyLadG83RvRjci+AGq1WqSkpAAA3N3dsW7dOmRkZGD69OnIysrCO++8Y/Hn95H89Pd3x87HR2NWXB8IArBmbwFmrT+Ec5cbxI5GZJfOXW7ArPWH8Obe0xAEYFZcH+x8fDT6+bmLHY3ILsjuOYCnTp3q8O2hQ4fis88+685IJBPOjir8c5oGo8J98PSObKQXX8Sk11LxygPDMHZgx88zJaKf7c2txO+3Z+KSrgnuTg54cboGU6N6iR2LyK7I/gwgUXe7J6oXdi3TYnCvHrika8LD7x7Gi1/9hCZeEibqUJPJjBdTfsLD7x3GJV0ThvTugS+XaVn+iDqBBZBIBH193fDp0gTMjQ8FAKz7oRAPrDuA8hpeEia6lvKaBjyw7gDW/VgIAJgXH4pPlyYgzNdN5GRE9okFkEgkzo4qPH/vEKx9aDg8nB1wtLQGk15Lxbc5FWJHI7Ip3+ZUYNJrqThaWgMPZwesfWg4/n7vEDg58FW+RJ3FAkgksomaIOxeloioYE9cbmjC4veP4IUvc2Aw8pIwyZvBaMbzu3Kw+P0juNzQhKhgT6QsT8RETZDY0YjsHgsgkQ3o4+OKjx9NwILRfQEAG9KKkLTuAM5c1ImcjEgcZy7qkPT2fmzcVwQAWKjti48fTUCIN1dlILIEFkAiG6F2UOJvU2/D+rmx8HRxRNaZGkx6PRVfnzgndjSibvVV9jlMej0VWWWX4eniiPVzY/HXKbdB7cAfWUSWwq8mIhsz/rYA7F6uRXSfnrjSaMSjm4/i2c9PQG80iR2NyKoam0z42+cnsHTLUVxpNGJ4n55IeTIR428LEDsakeSwABLZoGAvV2x/JB6PjAkHAGw6UIIZa/ejuLpe5GRE1lFcXY8Za/fj/QMlAIBHxoRj2yPx6N3TReRkRNLEAkhkoxxVSqycGIl354+Al6sjTpTXYsobadiVdVbsaEQW9UXWWUx5Iw0nz9bCy9UR784fgZUTI+Go4o8oImvhVxeRjRs7yB8pTyZiRJgX6vRGLNt6DE9/lo3GJl4SJvvW2GTCyh3ZWL71GOr0RowM80bKk4kYO4h3xiGyNhZAIjsQ5OmCrYtH4fGx/aBQAB8eKsV9b+7D6ao6saMRdcrpqjrc9+Y+bE0vhUIBPDG2Pz5cHIcgT17yJeoOLIBEdsJBpcSf7h6ETQ+PhI+bGrnnr2DqG2n47FiZ2NGIbslnx8ow9Y005J6/Al93Nd5fMBJ/vHsgHHjJl6jb8KuNyM7cHuGHr55MRHy4D3QGE/5nWxZWfJKFBgMvCZNtazCY8KePs/A/27KgM5gQH+6DlOWJSBzgJ3Y0ItlhASSyQ/49nLF5URye/M0AKBTA9iNluPfNNORXXBE7GtE15VVcwT1r0vBxRhkUCuB3dw7A5kVx8O/hLHY0IlliASSyUyqlAv8zPgJbFsbBz8MJeRV1mLomDR8fOSN2NKJWgiBg+5EzuGdNGvIr6+Dn4YQti+LwuzsjoFIqxI5HJFssgER2LqG/79XLaL5obDLjT58cx++3Z6JebxQ7Gslcvd6IP2zPwopPjqOxyYzEAb746slEJPTzFTsakeyxABJJgJ+HEzY9PBJ/vCsCSgWw42g57lmThtzztWJHI5n66Vwtpq5Jw45j5VAqgD/dPRCbHh4JX3cnsaMREVgAiSRDqVTgiXEDsHXxKAT0cMLpqnrcu6Z5mQ1BEMSORzIhCELrMkWFVfUI7OGMj5bE4/Gx/aHkJV8im8ECSCQxcVdfWXnHQD/ojebmhXY/ysSVxiaxo5HEXWlswvKPMvH0Z9nQG824Y6AfUp5MxMi+3mJHI6JfYQEkkiAfdydsnDcCKycOgkqpwK6ss5j6RhpOlF8WOxpJ1Inyy5h69VaFDkoFVk4chI3zRsDbTS12NCK6BhZAIolSKhV4ZEw/bH8kHr08nVF8QYfpb+3HBweKeUmYLEYQBLx/oBjT39qP4gs69O7pgm2PxOORMf14yZfIhrEAEklcTKgXUp5MxJ2RATCYzPjr5yfx+IdHUctLwtRFlxua8NiWo/jb5ydhMJlxZ2QAdi/XIibUS+xoRHQDLIBEMtDTVY31c2Pwl8mRcFQpkJJ9HpNfT0XWmRqxo5GdyjpTgylvpOKrE+fhqFLgr1Nuw/q5Mejpyku+RPaABZBIJhQKBRYlhuPjRxMQ7OWCMxcbcP/b+7ExrYiXhOmmCYKADWlFuP/t/ThzsQEh3i745NEELNT2hULBS75E9oIFkEhmhoX0xO7liZgwOBBNJgHPf5mDJR9koEZnEDsa2bganQGL38/AC1/moMkkYOKQQHy5LBFRIT3FjkZEt4gFkEiGPF0csXb2cPz9nsFQq5T4NqcCk19Pw9HSS2JHIxuVUXIJk19Pw3c/VUCtUuL5ewfjrYeGw9PFUexoRNQJLIBEMqVQKDAvIQw7HktAqI8rymsaMPPtA3jnx9Mwm3lJmJqZzQLW/XAaD6w7gPKaBoT6uGLHYwmYGx/GS75EdowFkEjmhvT2xJfLtJgyNAhGs4B/puRi0ftHcLGel4Tl7mK9AQs3HcaLX+XCaBYwZWgQvlymxZDenmJHI6IuYgEkIng4O+KN30bjn9M0UDsosSe3EpNfT8Xh4otiRyORpBddxKTXUrH3VBWcHJT45zQN3vhtNDycecmXSApYAIkIQPMl4VlxffD546MR7uuGc5cb8eA7B/Hm3gJeEpYRs1nAm3sL8Nv1B3G+thHhfm7Y+fhozIrrw0u+RBIimwKo1+vx9NNPIzY2FlqtFhs3brzutkuXLsXAgQPb/Nm7d283piUST2RQD+xapsW06N4wmQWs/uYU5r2bjuo6vdjRyMqq6/SY9246Vn9zCiazgOnRvbHrCS0ig3qIHY2ILMxB7ADd5eWXX8aJEyewadMmnD17Fn/+85/Rq1cvTJgwod22p0+fxurVqxEfH9/6mKcnn/NC8uHm5IBXZkYhPtwHf/viBFLzqzHptVS89mA04vv5iB2PrGD/6Wo8+VEmqq7o4eyoxPP3DkFSTDDP+hFJlCwKoE6nw8cff4z169dj8ODBGDx4MPLz87Fly5Z2BdBgMKCsrAwajQZ+fn4iJSYSn0KhwMwRIRjWpyce33IU+ZV1eCj5IJ78TQSeGNdf7HhkISazgDf25uH17/NhFoAB/u5486HhiAjwEDsaEVmRLC4B5+bmwmg0Ijo6uvWxmJgYZGVlwWw2t9m2sLAQCoUCISEh3R2TyCZFBHjg8ydGIykmGGYBePW7PMzZcAhVV3hJ2N5dajBh3ruH8Z/vmsvfzNhgfPGEluWPSAZkcQawqqoKXl5eUKt/vkelr68v9Ho9ampq4O3t3fp4YWEh3N3dsWLFCqSnpyMwMBDLli3DmDFjrrt/k8kEk8lk0cwt+7P0fm0F57MvTioF/jV9COL6euFvX+Rg/+kLmPzGPjwe4waNRGb8Nakdw1/78VQl/vDtBVzWm+GqVuH5e27DtOjeAKQzs9SPIefr+r7lTBYFsKGhoU35A9D6tsHQdq2zwsJCNDY2QqvVYsmSJfj222+xdOlSbNu2DRqN5pr7z8vLs05wANnZ2Vbbty3gfPalrwJ4cawX/vdgDUovG/DCjwbkVO3HzNvcoVJK87liUjuGJrOAbTl12PFTPQQAfTwd8IdRPRGsqEJmZpXY8axCasfw1zgfdYYsCqCTk1O7otfytrOzc5vHH3vsMcyZM6f1RR+DBg3CyZMnsX379usWwIiICLi6ulo0s8lkQnZ2NjQaDVQqlUX3bQs4n/0aBuDOeBOe/zIH246U45Of6lHaoMarM6MQ6Ol8ow+3G1I8hucvN+J327NwuLgeAHBXuAv+/VA83JzVN/hI+yTFY/hLnK/zdDqdVU/e2ANZFMCAgABcunQJRqMRDg7NI1dVVcHZ2Rk9erRd3kCpVLZ7xW94eDgKCgquu3+VSmW1Lz5r7tsWcD775KZS4Z/TNOilqsM7x+qQXnwJU9/cj1dmRuGOgf5ix7MoqRzDvacq8YftWbhYb4C7kwP+cd9ghJgr4OaslsR8HZHKMbwezte5fcqdLF4EEhkZCQcHB2RmZrY+lpGRAY1GA6Wy7afgqaeewsqVK9s8lpubi/Dw8O6ISmRXtH1c8PnjCRjcqwcu1hsw/93D+NdXuWgymW/8wdQtmkxmvPjVT3j43cO4WG/A4F498OUyLaYODRI7GhGJSBYF0MXFBffddx+ee+45HD9+HN999x02btyIuXPnAmg+G9jY2AgAGDduHHbt2oWdO3eipKQEa9asQUZGBmbPni3mCEQ2q6+vGz5dmoC58aEAgLd/OI0H3zmIszUNIiej8poGPPjOQaz7oRAAMC8+FJ8uTUCYr5vIyYhIbLIogACwcuVKDB48GPPmzcPf//53LFu2DHfddRcAQKvVIiUlBQBw11134dlnn8XatWsxZcoU7NmzB8nJyQgODhYzPpFNc3ZU4fl7h+Cth4bDw8kBGSWXMOn1VHyXUyF2NNn6NqcCk15LRUbJJXg4O2DtQ8Px93uHwNmRl76ISCbPAQSazwK+9NJLeOmll9q979SpU23eTkpKQlJSUndFI5KMSZogDOnliSe2HsXxsstY9P4RLNL2xYoJg6B2kM3vm6IyGM146etcbEgrAgBEBXvijd8ORx8fy75QjYjsG78jE5FF9fFxxSePJmDB6L4AgOS0IiStO4AzF3UiJ5O+Mxd1SFp3oLX8LRjdFx8/msDyR0TtsAASkcWpHZT429Tb8M6cGPRwdkDWmRpMej0VX584L3Y0yfr6xDlMej0VWWdq4OniiPVzY/G3qbfxzCsRXRO/MxCR1dw1OBApTyYiuk9PXGk04tHNGXjui5PQG7kKv6XojSY8+/kJPLr5KK40GjG8T0/sXq7F+NsCxI5GRDaMBZCIrCrYyxXbH4nHI7c3L6X03v5i3L/2AEou1IuczP4VV9djxtr92HSgBADwyJhwbHskHsFevORLRB1jASQiq3NUKbFyUiQ2zo+Fl6sjsssvY/Lrafjy+Fmxo9mtL4+fxZQ30nCivBZero54d/4IrJwYCUcVv60T0Y3xOwURdZtxgwKQ8mQiRoR5oU5vxBMfHsMzn2WjsYmXhG9WY5MJT3+WjSc+PIY6vREjwryQ8mQixg6S1h1YiMi6WACJqFsFebpg6+JReHxsPygUwJZDpZj21n4UVtWJHc3mna6qw31v7sOHh0qhUABPjO2PrYtHIcjTRexoRGRnWACJqNs5qJT4092DsOnhkfBxU+Onc7WY8kYadh4rFzuazdp5rBxT30hD7vkr8HFT4/0FI/HHuwfCgZd8iagT+J2DiERze4QfUp5MxKhwb+gMJvxuWyb+/MlxNBh4SbhFg8GEP39yHL/blgmdwYT4cB989WQiEgf4iR2NiOwYCyARiSqghzO2LBqFJ38zAAoFsO3IGdz7ZhryK66IHU10+RVXcO+badh25AwUCuDJ3wzA5kVx8O/hLHY0IrJzLIBEJDqVUoH/GR+BLQvj4OfhhLyKOtyzZh8+PnJG7Gii+fjIGUxdk4a8ijr4eThhy8I4/M/4CKiUCrGjEZEEsAASkc1I6O+LlOWJ0Pb3RUOTCX/65Dh+vz0T9Xqj2NG6Tb3eiN9vz8SfPjmOxiYzEgc0f04S+vuKHY2IJIQFkIhsip+HU/MLHO6KgFIB7DhajnvWpCH3fK3Y0awu93wt7lmThh1Hy6FUAH+6eyA2PTwSfh5OYkcjIolhASQim6NUKvDEuAHYungUAno44XRVPe5dsw8fpZdCEASx41mcIAjYml6Ke9fsw+mqegT2cMZHS+Lx+Nj+UPKSLxFZAQsgEdmsuHAfpCxPxJgIP+iNZjy1IxtPfpSJOgldEr7S2ITlH2Vi5Y5s6I1m3DGw+ZXRI/t6ix2NiCSMBZCIbJqPuxPenT8CT00cBJVSgS+yzmLqG2k4efay2NG67ET5ZUx9Iw27ss5CpVRg5cRB2DhvBLzd1GJHIyKJYwEkIpunVCrw6Jh+2P7IKPTydEZRdT2mvbUfHxwssctLwoIg4IMDxZj+1n4UX9Chl6cztj8Sj0fG9OMlXyLqFiyARGQ3YkK9sXt5Iu6M9IfBaMZfd57AEx8eQ21jk9jRblptYxMe//Ao/vr5SRhMZtwZ2Xx/5JhQL7GjEZGMsAASkV3xclNj/dxY/GVyJByUCuzOPocpr6fheFmN2NFu6HhZDSa/noqU7PNwVCnwl8mRWD83Bj1decmXiLoXCyAR2R2FQoFFieH4ZGkCgr1cUHpRhxlr9+PdfUU2eUlYEARsTCvCjLX7ceZiA4K9XPDxowlYlBgOhYKXfImo+7EAEpHdGhbSE7uXJ2LC4EA0mQT8fVcOHvkgA5d1tnNJuEZnwJIPMvD8lzloMgmYMDgQu5cnYlhIT7GjEZGMsQASkV3zdHHE2tnD8fd7BkOtUuK/ORWY9HoqjpVeEjsajpZewuTX0/BtTgXUKiWev3cw1s4eDk8XR7GjEZHMsQASkd1TKBSYlxCGT5cmINTHFeU1DUh6+wDW/1gIs7n7LwmbzQLe+fE0Zr59AOU1DQj1ccWOxxIwNz6Ml3yJyCawABKRZGiCPfHlMi0mDw2C0SxgVcpPWPT+EVyqN3Rbhov1Bix6/wj+mZILo1nAlKFB+HKZFkN6e3ZbBiKiG2EBJCJJ8XB2xJrfRmPVtCFQOyixJ7cSk15PxZHii1b/uw8XX8Tk11OxJ7cSagcl/jlNgzd+Gw0PZ17yJSLbwgJIRJKjUCjwUFwodj42GuG+bjh3uREPvHMQb/1fgVUuCZvNAt7cW4AH3zmIc5cbEe7rhs8fH41ZcX14yZeIbBILIBFJ1m29euCLZVrcN6wXTGYBL399CvPfO4zqOr3F/o7qOj3mvZuO1d+cgsksYFp0b+xapkVkUA+L/R1ERJbGAkhEkubu5IBXHxiGl2cMhbOjEj/mVWHSa6k4WHihy/s+cPoCJr2WitT8ajg7KvHy/UPxyswouDk5WCA5EZH1sAASkeQpFArMHBGCL57Qor+/Oyqv6DFr/UG8/n0+TJ24JGwyC3jtu3w8lHwQlVf0GODvji+e0GJmbAgv+RKRXWABJCLZiAjwwBdPjEZSTDDMAvDKt3mYu/EQKq803vQ+Kq80Ys6GQ3j1uzyYBSApJhifPzEaEQEeVkxORGRZsiiAer0eTz/9NGJjY6HVarFx48brbpuTk4OkpCRERUVhxowZOHHiRDcmJSJrc1U7YHVSFF6ZGQUXRxX2FVzApNfSsK+g+oYfm5ZfjUmvpWH/6QtwVavwysworE6Kgqual3yJyL7IogC+/PLLOHHiBDZt2oRnn30Wa9aswddff91uO51OhyVLliA2NhY7duxAdHQ0HnnkEeh0OhFSE5E1TR8ejF3LtBgU6IHqOj1mbziEV/57CkaTud22RpMZ//vfU5iz8RCq6/QYFOiBL57QYvrwYBGSExF1neQLoE6nw8cff4xnnnkGgwcPxvjx47Fo0SJs2bKl3bYpKSlwcnLCihUr0K9fPzzzzDNwc3O7ZlkkIvvX398dOx8fjd+ODIEgAK/vKcCs5EOoqP35kvD5y42YlXwIb+wpgCAAvx3ZBzsfH43+/u4iJici6hrJF8Dc3FwYjUZER0e3PhYTE4OsrCyYzW1/08/KykJMTEzrk7gVCgWGDx+OzMzM7oxMRN3I2VGFF6cPxWsPDoObWoX0oouY+FoqfsirwrHzekxdsw/pRRfhplbh9d9G48XpGjg7qsSOTUTUJZJ/4kpVVRW8vLygVqtbH/P19YVer0dNTQ28vb3bbNu/f/82H+/j44P8/PwO/w6TyQSTyWTR3C37s/R+bQXns39Sm3GKJhCDgzyw/KNM5Jy7ggWbMlrfNzioB157MAp9fd0kM6/Ujt+1SH1Gztf1fcuZ5AtgQ0NDm/IHoPVtg8FwU9v+ertfy8vLs0DSa8vOzrbavm0B57N/Upvxr/Gu2JRlwtenm5/7O6GfK+ZFueByWT4yy0QOZwVSO37XIvUZOR91huQLoJOTU7sC1/K2s7PzTW376+1+LSIiAq6urhZI+zOTyYTs7GxoNBqoVNK73MT57J+UZxwZA+wvqEJhYSF++5tYyc0HSPv4tZD6jJyv83Q6nVVP3tgDyRfAgIAAXLp0CUajEQ4OzeNWVVXB2dkZPXr0aLdtdXXbpSCqq6vh7+/f4d+hUqms9sVnzX3bAs5n/6Q6Y0J/P7jWlUt2vhZSnw+Q/oycr3P7lDvJvwgkMjISDg4ObV7IkZGRAY1GA6Wy7fhRUVE4duwYBKH5zgCCIODo0aOIiorqzshEREREViX5Auji4oL77rsPzz33HI4fP47vvvsOGzduxNy5cwE0nw1sbGxe8mHChAmora3FqlWrUFBQgFWrVqGhoQETJ04UcwQiIiIii5J8AQSAlStXYvDgwZg3bx7+/ve/Y9myZbjrrrsAAFqtFikpKQAAd3d3rFu3DhkZGZg+fTqysrLwzjvvWPz5fURERERikvxzAIHms4AvvfQSXnrppXbvO3XqVJu3hw4dis8++6y7ohERERF1O1mcASQiIiKin7EAEhEREckMCyARERGRzLAAEhEREckMCyARERGRzLAAEhEREckMCyARERGRzLAAEhEREckMCyARERGRzMjiTiDWYjabAQANDQ0W37fJZAIA6HQ6qFQqi+9fbJzP/kl9Rs5n/6Q+I+frvJaf2y0/x+VIIQiCIHYIe3XhwgUUFxeLHYOIiIg6ISwsDD4+PmLHEAULYBcYjUZcvnwZTk5OUCp5NZ2IiMgemM1m6PV6eHp6wsFBnhdDWQCJiIiIZIanrYiIiIhkhgWQiIiISGZYAG1EbW0tnnnmGSQkJGDUqFF46qmnUFtbe93tz5w5g/nz52PYsGGYNGkS0tLSujFt5wmCgAULFmDHjh0dbvePf/wDAwcObPNn8+bN3ZSy8252Pns8foIg4N///jdGjRqFkSNH4uWXX+7wFXT2cAz1ej2efvppxMbGQqvVYuPGjdfdNicnB0lJSYiKisKMGTNw4sSJbkzaObcy39KlS9sdr71793Zj2q4xGAyYMmUKDh06dN1t7PEYtriZ+ezxGFZUVGD58uUYOXIkEhMT8eKLL0Kv119zW3s+fjZJIJvwu9/9Tpg+fbqQnZ0tnDhxQrj//vuFZcuWXXNbs9ksTJ06VfjDH/4gFBQUCG+//bYQFRUllJeXd3PqW2MymYTnn39eiIiIED799NMOt50/f76wbt06obKysvWPTqfrpqSdc7Pz2evx27BhgzBmzBjh8OHDwoEDBwStViskJydfd3t7OIbPP/+8MHXqVOHEiRPCf//7XyE6Olr46quv2m1XX18vjB49WvjXv/4lFBQUCC+88IKQkJAg1NfXi5D65t3sfIIgCOPHjxc+//zzNsdLr9d3c+LOaWxsFB5//HEhIiJCOHjw4DW3sddjKAg3N58g2N8xNJvNwsyZM4VFixYJeXl5wuHDh4Xx48cL//rXv9pta8/Hz1axANqA+vp6ITIyUsjMzGx97OjRo0JkZKTQ2NjYbvv9+/cLw4YNa/MPf968ecLrr7/eLXk74/z588Ls2bOFO+64Q4iNjb1hAUxMTBRSU1O7KV3X3cp89nj8BEEQxowZ02aunTt3CmPHjr3u9rZ+DOvr6wWNRtPmB+qbb74pzJ49u922H3/8sTBu3DjBbDYLgtD8g2v8+PE3/HcspluZT6/XC5GRkUJhYWF3RrSI/Px84Z577hGmTp3aYUGyx2MoCDc/nz0ew4KCAiEiIkKoqqpqfWzXrl2CVqttt629Hj9bxkvANkCpVOLtt99GZGRkm8dNJhPq6+vbbZ+VlYXbbrsNrq6urY/FxMQgMzPT2lE77eTJkwgKCsKnn34KDw+PDretq6tDRUUFwsLCuiecBdzKfPZ4/CoqKnDu3DmMGDGi9bGYmBiUl5ejsrKy3fb2cAxzc3NhNBoRHR3d+lhMTAyysrLaXdrOyspCTEwMFAoFAEChUGD48OE2fcxuZb7CwkIoFAqEhIR0d8wuS09PR1xcHLZt29bhdvZ4DIGbn88ej6Gfnx+Sk5Ph6+vb5vG6urp229rr8bNl8lz8xsY4Ozvj9ttvb/PY+++/j4EDB8Lb27vd9lVVVfD392/zmI+PD86fP2/VnF0xbtw4jBs37qa2PX36NBQKBd5++238+OOP6NmzJx5++GFMmzbNyik771bms8fjV1VVBQBtcrd80z5//ny7eezhGFZVVcHLywtqtbr1MV9fX+j1etTU1LT52quqqkL//v3bfLyPjw/y8/O7Le+tupX5CgsL4e7ujhUrViA9PR2BgYFYtmwZxowZI0b0WzJr1qyb2s4ejyFw8/PZ4zHs0aMHEhMTW982m83YvHkzRo0a1W5bez1+towFsJs0NjaioqLimu/z8/NrczZo8+bN+Oqrr5CcnHzN7RsaGtp8UwcAtVoNg8FgucC36Fbmu5GW32TDw8Mxe/ZsHD58GH/961/h7u6O8ePHWyryLbHkfLZ4/ICOZ9TpdADQJnfL/18rty0ew1+73nEA2s9kq8esI7cyX2FhIRobG6HVarFkyRJ8++23WLp0KbZt2waNRtNtma3JHo/hrZDCMVy9ejVycnLwySeftHuf1I+fGFgAu0lWVhbmzp17zfe9+eabuPPOOwEAW7ZswT/+8Q+sXLkSWq32mts7OTmhpqamzWMGgwHOzs4WzXwrbna+m3Hfffdh7Nix6NmzJwBg0KBBKC4uxtatW0UrD5aczxaPH9DxjH/6058ANOd0cnJq/X8AcHFxabe9LR7DX3Nycmr3w6Pl7V8fi+ttK/Yx68itzPfYY49hzpw58PT0BNB8vE6ePInt27fbTXm4EXs8hrfC3o/h6tWrsWnTJrz66quIiIho936pHz8xsAB2k7i4OJw6darDbTZs2ICXX34ZK1aswLx58667XUBAAAoKCto8Vl1d3e4yXHe6mflulkKhaC0OLcLDw3Hw4EGL7L8zLDmfLR4/oOMZKyoqsHr1alRVVSE4OBjAz5eF/fz82m1vi8fw1wICAnDp0iUYjcbWW0FVVVXB2dkZPXr0aLdtdXV1m8ds4Zh15FbmUyqVrcWhRXh4eLt/p/bMHo/hrbDnY/jCCy9g69atWL16Ne6+++5rbiP14ycGvgjERnz22Wd4+eWXsXLlSixcuLDDbaOionDy5Ek0Nja2PpaRkYGoqChrx+wWr732GubPn9/msdzcXISHh4sTyMLs8fgFBASgV69eyMjIaH0sIyMDvXr1uuY3YHs4hpGRkXBwcGjzJPKMjAxoNJp29/aOiorCsWPHIFy9c6YgCDh69KhNH7Nbme+pp57CypUr2zxma8erq+zxGN4Kez2Ga9aswUcffYRXXnkFkydPvu52Uj9+YmABtAE1NTV4/vnnMW3aNEyePBlVVVWtf0wmEwDg4sWLra8IHjlyJIKCgrBy5Urk5+fjnXfewfHjx3H//feLOUaX/HK+sWPH4vDhw9iwYQNKS0vx4YcfYufOnViwYIHIKTtPCsfvt7/9Lf7973/j0KFDOHToEP73f/+3zSVjezuGLi4uuO+++/Dcc8/h+PHj+O6777Bx48bWmaqqqlpL+oQJE1BbW4tVq1ahoKAAq1atQkNDAyZOnCjmCB26lfnGjRuHXbt2YefOnSgpKcGaNWuQkZGB2bNnizlCl9n7MbwRez+Gp0+fxltvvYXFixcjJiamzc8+QPrHT3RirkFDzb788kshIiLimn/OnDkjCIIgjB07ts06ccXFxcJDDz0kDBkyRJg8ebKwb98+seLfsrFjx7Zbu+nX83377bfC1KlTBY1GI0yYMEH45ptvujtmp93MfPZ4/IxGo/DPf/5TiI2NFeLi4oTVq1e3rsklCPZ5DHU6nbBixQph2LBhglarFd59993W9/16Qe+srCzhvvvuEzQajXD//fcLJ0+eFCHxrbmV+bZv3y7cddddwpAhQ4Rp06YJ6enpIiTuml+vkyeFY/hLN5rP3o7hunXrrvuzTxCkd/xsjUIQrp5PJSIiIiJZ4CVgIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSGRZAIiIiIplhASQiIiKSmf8H5LkV2JiVqb8AAAAASUVORK5CYII=","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = [-2,-1,0,1,2]\n","y = [ 4, 1,0,1,4]\n","\n","plt.plot(x,y);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"y5qwFb27Gr32"},"source":["Key aspects to pay attention to are:\n","\n","- The sequences `x` and `y` determine the coordinates of the points in the plot.\n","- The plot's line is formed by connecting these points with straight lines.\n","\n","The second observation suggests that if we aim to display a smooth curve, we need to plot numerous points; otherwise, the plot will not appear smooth. Let's attempt this again, using the `NumPy` function `np.linspace()` to create 200 points:"]},{"cell_type":"code","execution_count":11,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":874,"status":"ok","timestamp":1683109781468,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"EQ9jmaQVHEGu","outputId":"66f4a6d7-10d7-43dc-998d-ce7084729cec"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"f809eff61d5d4f60b71dd2056e01271b","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(-2,2,200)\n","y = x**2\n","plt.plot(x,y);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"kt81FPC2KTcD"},"source":["Looks much better!"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"v-iFzgkYFE7J"},"source":["Let's revisit the example with a simple sinusoid:"]},{"cell_type":"code","execution_count":12,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":570,"status":"ok","timestamp":1683111407034,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"X-fZLjJcFE7J","outputId":"5ff7b5a2-5554-4017-eeaf-2ba49de86c2b"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"34ffc97da7484085a32b6d43336dd0cb","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(0, 10, 1000)\n","plt.plot(x, np.sin(x));\n","# let the figure and axes be created for us in the background"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"fjKajeyEFE7J"},"source":["If we want to create a single figure with multiple lines, we can simply call the `plot()` function multiple times:"]},{"cell_type":"code","execution_count":13,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":593,"status":"ok","timestamp":1683111409024,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"aMelzbvyFE7J","outputId":"f4f764eb-9197-435f-c089-1a6bce70608a"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"5afbf9f775984b7c90008a5e52ff2222","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, np.sin(x))\n","plt.plot(x, np.cos(x));"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"p-xox2YXFE7K"},"source":["#### Adjusting the plot: Line colors, styles and widths"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"9eEGKRtlFE7K"},"source":["One of the initial modifications you might want to make to a plot is adjusting the line colors and styles. The `plt.plot()` function accepts additional arguments that can be employed to define these aspects. To change the color, you can use the `color` keyword, which takes a string argument representing a wide range of possible colors."]},{"cell_type":"code","execution_count":14,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":1170,"status":"ok","timestamp":1683111416110,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"cUO2KeOYFE7K","outputId":"daeffcac-7eef-44f8-ab1a-4aafd7b25b02"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"02d667ada81f4287bdf8b4e80757593f","version_major":2,"version_minor":0},"image/png":"iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAADyoklEQVR4nOydd3gc1dX/P7O76r3bcm+Smyy52+CKbYzBgOktlBACIUASCMkbIG+AEMKPkpAQ8pIQegmYXo2NOza4ypZc5d5t9a7VrrS78/vjalaSrbKSdnd2pPt5Hj0a7c7Mnh3N3j33nnO+R1FVVUUikUgkEolE0mMw6W2ARCKRSCQSicS/SAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GNIBlEgkEolEIulhSAdQIpFIJBKJpIchHUCJRCKRSCSSHoZ0ACUSiUQikUh6GBa9DTAyDoeDiooKQkJCMJmkLy2RSCQSiRFwuVzY7XZiYmKwWHqmK9Qz37WXqKio4OjRo3qbIZFIJBKJpBMMHDiQhIQEvc3QBekAdoGQkBBA3EBhYWFePbfT6WT//v2kpaVhNpu9em5JI/I6+wd5nf2DvM7+QV5n/+DL61xbW8vRo0fd3+M9EekAdgEt7BsWFkZ4eLhXz+10OgEIDw+XA4wPkdfZP8jr7B/kdfYP8jr7B39c556cvtVz37lEIpFIJBJJD0U6gBKJRCKRSCQ9DOkASiQSiUQikfQwpAMokUgkEolE0sOQDqBEIpFIJBJJD0M6gBKJRCKRSCQ9DOkASiQSiUQikfQwpAMokUgkEolE0sPodg5gXV0dCxcuZNOmTa3us2fPHq655hoyMzO56qqr2LVrV7Pnv/rqK+bOnUtmZib33HMPpaWlvjZbIpFIJBKJxG90KwfQbrfzwAMPcODAgVb3sVqt3HnnnUyYMIFPPvmEsWPHctddd2G1WgHYsWMHjzzyCPfeey+LFy+msrKShx56yF9vQSKRSCQSicTndBsH8ODBg1x77bUcP368zf2WLFlCSEgIv/3tbxkyZAiPPPIIERERLF26FIB33nmHBQsWsGjRIoYPH84zzzzD2rVrOXHihD/ehkQikUgkEonP6TYO4ObNm5k8eTKLFy9uc7/c3FzGjx+PoigAKIrCuHHjyMnJcT8/YcIE9/69e/cmNTWV3Nxcn9kukUgkEolE4k8sehvgLW688UaP9isqKmLo0KHNHktISHCHjQsLC0lOTj7n+fz8/FbP6XQ63U2rvcGZM/DnP0NxcT9Gj1aZMMHJlCkQE+O1l/AKdc46Np3axOZTmzlZeZIKewXhQeGkRKSQ1SuL8/qeR0J4gt5mNkNVVaqqqqiqqsJut1NXV4fNZuPIkSNERUURHR1NcHCw3mY2x+WCfUdQdu2DU/lQVQNmE8THwaB+qGNHQnJgXeez0T4f3vycSM7Fk+vsckFuLmzerHDgAFRUgNkMSUkwciScf75K//7+stgzVFUlrySP9cfXc7j8MEU1RVhMFmJDYxmdNJpJfSaRlpDmN3s8uc6qqmKz2aioqMBms1FXV4eiKJjNZsLDw4mKiiI8PNy9GBEwFBSjZO+CE6ehqBRMCoSFwcC+qCOGQPpg8JPNvhw35FjUjRxAT6mtrT3nCz44OJi6ujoAbDZbm8+3xP79+71q46efJvLSSwOAZD78UDxmsbiYPr2Cq64qYvLkKn99/lokryKPj45+xLLTy6h11ra6n1kxMylxElcNuIqZKTN1HeicTif19fXU19e3+PzJkyfd22azmaCgICwWi642B5VWkLx6MwkbcwmqrGlz35qBqRRNH0/p5DGoQYH7sd65c6feJvQIWrrOhYVBfPBBEt98k0BBQduTnBEjarj88mIWLiwhNFT1lZntUmov5ZPjn/DF8S84XXu6zX2HRg3lkr6XcOWAK4mwRPjFvpaus6qq7rHG5XK1ebyiKAQFBREcHKzrWGOy1xG/aSdJ320l/ETrix0A9vgYSieNpvCCyThiovxinxw3fEPgflP4iJCQkHOcubq6OkJDQ9t8PiwsrNVzpqWlER4e7jUb09OhTx8HW7cWYbMls2mTiUOHTKxeHcfq1XGcd57KM8+4mDLFay/pEYdKD/Hw6of5eO/H7seSwpOY3n86Q+KHEBcah7XeyrHyY2SfyWZP8R42FG1gQ9EGxiSP4bl5z3HBoAv8arPdbufYsWMUFBS4H7NYLMTExBAaGorZbCY/P5/Y2Fhqamqoqalxr+iGhYUxcOBAEhMT/WozldUo/3kf5eNvUJziC0QND4WsUagD+0BMtFjGyS9COXAE9h4i4uhpIo6eZsDS71HvuRn1opl+m6V7gtPpZOfOnWRkZGA2m/U2p9vS0nWuqIDHH1f4978V7HZxT0RFqUyeDKNHqyQkgNMJ+fmwdavC9u2wd28Ee/dG8NZb/fnDH1Ruv13F5MeEIWu9lec2PMdfN/6V6rpqAEItoUzpM4UxKWNIjkjG4XJQVFNETkEOW05v4WDVQf6+9++8ffRt/ue8/+GXk3+JxeSbr7iWrrPL5eL06dOcOHECh8MBCAcvKiqKiIgI98JCfX09NTU1VFVV4XK5qKurw+l00qdPH/r164fJnxfa6UT5ejXKS++ilJYDoJpMMGIoavogSEoABTEmHT4BuXsJKa2g99Lv6bVyE+o1F6PecT1EtP792DXzfDduWK1Wry/eGI0e5wCmpKRQXFzc7LHi4mJ32Le155OSklo9p9ls9urNGRkJd97pZNKk02RlJWM2K+zcCa+8Ai+/DD/8oDB9upkHHoAnnhCr875EVVX+b8v/8eDyB7E5bJgUE9eOupa7J9zN9P7TW5257i/Zz2vbX+P/tvwfOwp3cOG7F3Jb1m28cNELRIX4duaoqioFBQUcOHDAvdSfkJBAnz59iIuLc9vsdDopKysjPT0ds9mMzWYjPz+fkydPUltby969e0lMTCQtLc0/oeF1W+Dxv0N5pfh74hi4/lKU88ZBUBAtXumSMliyBt77AqWwBOWxv8NXq+Dx+yHFz85rO3j7syJpGe06L10KP/0paAvc06bBL38JCxcqiDnvuXdUURG88w78/e9w7JjCz36m8N578PrrMGiQ723feHIjt3x6CwdKRVrO+N7j+cXkX3D1yKsJD2p5ol1WW8ZHez7iuQ3Psb9kP/+z8n9YvGcxb1z+BhkpGT6zVbvO1dXV5OXlUV0tnNXw8HD69u1LcnIyFkvLX7MOh4Pi4mJOnjxJdXU1x48fp6ioiOHDhxPjj3yf0wXw+7/Ajjzxd58UuHYhyiWzITa65bHGZocfsuGdz1B25KH89wtY8T38730wdZzPTPXFuCHHoW5UBOIpmZmZbN++HVUVYQ1VVdm2bRuZmZnu57Ozs937nzlzhjNnzrif14uMDDEgHzoEN98Mqgp/+QtMnw6+LFCuslexaPEi7v3mXmwOGxcMuoCcu3J476r3mDFgRpthi7SENP7f3P/H0V8d5Z6J96Cg8EbOG0x6ZRJ7i/b6zGaXy0VeXh55eXk4nU6ioqIYO3YsGRkZxMfHt2lzaGgoAwcOZMqUKfTv3x9FUSguLiY7O5vKykqf2YzDCc+/Cvc/IZy/wf3hpSfgpT/BzMkQFNT6sQlxcPMV8NnLcM/NEBIMW3fCTb+CDdt8Z7MkYHG54A9/gAULhPM3ZAgsXQrffQdXX02D89cySUlw//2wbx88/zxERMDatZCZCUuW+M5mVVV5fsPznP/a+RwoPUCfqD4svnoxW366hVsyb2nV+QOIC4vjp+N/yp6f7+GVS18hLjSObWe2MfmVyby7413fGQ3k5+eTnZ1NdXU1FouF9PR0Jk6cSGpqaqvOH4hIRK9evRg/fjwjR44kODiY2tpacnJyOHnypPs7yies3QQ3/FI4fxFhcP9P4KP/g5suh9jo1o8LDYELzoPXnoEXHoU+vaCwBH7xOPz7v2IpWWIYeoQDWFRUhM1mA+Ciiy6isrKSJ598koMHD/Lkk09SW1vLggULALjhhhv4/PPP+fDDD8nLy+O3v/0ts2bNol+/fnq+BTepqfDWW/Dll5CYCNnZMGECbN3q/dc6UXGCaa9P44t9XxBiDuGFi15g+c3LOzyjjg+L58WLX+S7H39Hn6g+5BXnMfmVyaw5usbrNtfX15Obm+sO+Q4cOJCxY8d2eEZtsVgYPHgw48ePJywsDLvdzvbt2ykqKvK6zdTa4DdPwbufi79vuAzeeR4mdnDSERwEP74G3n9BJGqXV8Kv/giffet9myUBi92ucO21Jp54Qvx9zz2wYwfMn9+xrICQEPjVr8Sx550HVVWwcKGYiHobh8vBXV/dxQPfPoBLdXHD6BvY9fNdXDvq2g7lxplNZn4y7ifsuWcP84fMp9ZRy48+/RG/X/V7rztUqqpy9OhR8vLyUFWV+Ph4Jk6cSO/evTtks6IoJCcnM3HiRJKSklBVlYMHD7J//37fOIHvfQEP/hlqrDBmOLz3gnD82ppktsR542HxP+DKi8SKxH/eFyuKdS3nWUsCjx7hAE6bNo0lDVPXyMhI/v3vf5Odnc2VV15Jbm4uL7/8sjuHb+zYsfzxj3/kn//8JzfccAMxMTE89dRTeprfIgsXwpYtMGYMFBbCnDnw/ffeO//R8qPMeGMGOwp2kBKRwnc//o77Jt+HSen8LTOt/zS23bWNGQNmUFVXxUXvXMTneZ97zea6ujpycnKoqKjAbDYzZswYBg4c2KWcmsjISMaPH09CQgKqqrJ7927OnDnjNZux1sI9f4B1m8XK3f/7H/j1HcKZ6yz9UsUMfeEF4HTBn16ENz9u/ziJ4ampgfvvH8pnnymEhMCbb8KLL0JXUpQHD4bVq0UoWVWFU/inP3nNZOqd9dz0yU38Z9t/MCkm/nrhX3n3yneJDY3t9Dl7Rfbi6xu/5uFpDwPw5Lonue+b+3CpbRdleIqqqtjtdrc+bP/+/cnIyCAkJKTT5wwKCmLkyJEMGTIEENGnPXv2tFtI0iFefg/+8or4R155Ebz8FKSmdP58oSHw8M9FuonFAsvXi0mnze49myU+Q1F9us7cvbFarezdu5cRI0Z4tQgERG5aTk4OWVlZbeYqVFXBpZeKEE14OKxaBZMnd+21j5UfY+YbMzlWcYxh8cNYfvNyBsQO6NpJm2Bz2Ljh4xv4LO8zgkxBfHHDF1w09KIunbOuro7c3FxqamoIDg4mMzOTiIj2KwE9vc4ul4v9+/e75YBGjBhBSkoXBk4Qg+Qv/wjZOyE6Ep7/X8gc0bVzNkVV4f/ehtc/En//+g6xuqgDnl5nSeex2+Hii1VWrVKIiFD58kuF2bO9d35VFfJUv/+9+PuPf4T//d+undPpcnLdR9fx8d6PCTIF8cE1H7Bo+KIu29qUl7a8xD1L7kFF5d6J9/LCghe6VHGrqir79u1zjwVpaWmkpqZ6y1xAyJHt3bsXVVVJSkpi5MiRXa8SfuMjePEtsX3vLXDrVd4tFNuUIyIZ1lqYMhb++vuuTWTx7bjhy+9vo9AjVgC7M1FRIi9n3jywWuGSS6ArhU3ltnIu/u/FHKs4RlpCGqtvXe1V5w9ENd+H13zIdaOuo95Vz5WLr+T7451fvnQ6nezatcvt/GVlZXnk/HUEk8lEenq6e6Dfu3fvOcVCHcLhgN8+JZy/iDD4x+Pedf5ADO733AJ33iD+/ssr8NVK776GJCBwueCWW2DVKoXwcCfLlrm86vyBuJ0eeQSefVb8/Yc/wGuvdf58qqryy6W/5OO9HxNsDubT6z71uvMHcPfEu3lz0ZsAvLjlRR5f+3iXznfs2DGfOn8AycnJjB49GkVRKCoq4sCBA10LB3/wdXPn77arva8SMDkL/vEYhIXCxu3wyHMyJzDAkQ5gNyA8HD75ROQClpSIXJ82dKtbpc5Zx5WLr2RP0R76RPVh5S0r6RPdx/sGAxaThbeueIsFQxdQ66hl0eJFHCs/1uHzqKpKXl4elZWVWCwWMjMzfTabUxSFYcOGuVf+9uzZ46766zB/eQV+2CZCKH9/FEYN86KlZ/HT60WRCMCf/gk5e3z3WhJd+PWv4YMPIChI5dlnD/lUIurBB+FhEVnlzjvhm286d56/bPgL/9zyTxQU3r3yXS5Ju8R7Rp7FzZk3848F/wDg8bWP886Odzp1nvz8fI4ePQoIybAuRwHaICEhgREjxKRQk5fpFBu2wXP/Eds/vV44f74icwT85RGx8rd6A7zUuess8Q/SAewmREbC11+Lar+jR+G668QiU0e45+t7WH10NZHBkXx949f0je7rE1s1gs3BfHTtR4ztNZZiazGLFi+ipq5tweOzOXr0KEVFRSiKwujRo72+8nc2iqKQnp5OXFwcLpeLXbt2tSou3SofL4UPl4gZ+JMPQtZI3xiroShw360w5zxxUzz4ZyEBIekWvP02/O1vYvv111UmT67y+Wv+6U9ixdHpFGNNQyMlj/l6/9f8ZvlvAPjLhX/h6pE+dEoauHfSve6cwJ9++VOyT2e3c0RzKioq2LdvHwB9+/b1iyxUcnKyu3PV4cOHKS0t7dgJjp6Eh54VS8SXzmmMBviSSZnwh1+I7Tc+hm/W+P41JZ1COoDdiORk4QRGRQm5B22W7glv5b7FK9tfQUHhw2s+JLOXf2RvwoPC+ez6z0iOSCYnP4effPETj0MdJSUlHDsmVg3T09OJjY31oaWNmEwmRo4cSWhoKDabjd27d3sensndC8/8W2zffZOQePEHJpNI1B4+RFQHP/hnWa3XDdixA+66S2w/+ihcf71/UroVBf7zHyFDVVUlpGWsVs+OPVp+lJs/vRmAuyfcza+m/Mp3hp7FExc8wcK0hdgcNq5YfAWFNYUeHVdfX8+ePXtQVZXExEQGDhzoW0Ob0KdPH3r16gWIqENtbevdl5phrYUHnoTqGjHJfOjn/hOHv2gm3HaV2H7iH7DvsH9eV9IhpAPYzUhPb8zLefZZ+Oyz9o/ZU7SHu7++G4DHZj3W5YKMjtI/pj8fX/sxFpOFxbsX89r29hOLbDYbe/cKLcHU1FT3AOkvgoKCGD16NCaTifLyco4fP97+QdU1QibB6YR504Vkiz8JDRHhmdho2H8E/vGmf19f4lUqK+Gqq6C2VqR9dLUgo6MEB8P774uJ544dQm6mPeqcdVz74bWU2cqY1GcSf7vob35tgWZSTLxzxTukJ6RzovIEt39+e7uTN1VV2bt3L3a7nbCwMIYPH+5Xm7XUk6ioKBwOh+eVwc++DMdPiT7hz/yuywUZHebuH8G0CWKi+chzQu5KElBIB7AbcvXV8MADYvsnP2k7H9DmsHHth9dirbcyd/BcHpn+iH+MPItp/afx5AVPAvCLpb9gf0nrlSzagOxwOIiMjHTLJvibyMhI0tJEA/qjR4+2LRStqvDn/4MzhUI89ZF79GnVlpIIj/1KbL/3Bazf4n8bJF7hgQfg4EHo3x/efRf0KK5OTRVOoMkEb7wBixe3vf/vV/2eLae3EBcax+KrFxNs9kN3nbOICY3ho2s/IsQcwtcHvuZfW//V5v4nT56ktLQUk8nEqFGj2hR39hVms9n92lVVVe7IR6ss+w6+XCnGmCd+DfGxfrGzGWazGGuS4kUo+q+v+t8GSZtIB7Cb8v/+H4wdC6WljfpdLfH4msfZXbSb5Ihk3rniHcwm/SQ6HjzvQWYPnI213spNn9xEvbPlEOXJkyfdWn+jRo3SVVYkJSXFLd6qOaUtsmQNfLsOzCZ48tcQqaPswLQJjXIwj/0dyir0s0XSKb78El59VXy/v/02JCToZ8vs2Y3SMD//eesTzg0nNvDcD88B8NrlrzEwdqB/DGyB0cmjeXru0wA88O0DrXYmqqmp4ciRIwAMHTqUyMhIv9l4NqGhoQwbJorFjh07RkVFK5/bgmIx2QS4/RoYP9pPFrZAbDT88X5xo366DNZs1M8WyTlIB7CbEhQkOoYEB8NXX4nZ+dlsObWFZ354BoB/XfIvUiJ9V9HmCSbFxFtXvEVcaBxbT291f1k0xWq1ugfkwYMHE+brRsjtoCgKaWlphISEUFtb67atGSVl8JeGKrw7b4TR6f41siXuuxWGDhD5gH95RW9rJB2guFhM6kBU/86Yoa89IORhsrLEhPOuu86dcNbW13Lb57ehonJL5i0+kXvpKPdNvo95g+dhc9i47fPbcLqaS5ZoCgMul4u4uDh69+6tk6WNpKSkuCuPtVaXzVBV+H8viS4fo9Pgp34o+miPiZlwy5Vi+6mXoKqTygkSryMdwG7M6NG420H96lfQtIGF3WHnts9vc7ddumLEFbrYeDZ9o/vywoIXACHXcKCksbxQE2B1uVzExsb6RH+rMwQFBZGeLpy6U6dOnRsKfu4VqKwW7dluvUoHC1sgOEhU6plMsHStDAUbiF//GgoKYNSoxs+33gQHiwlnUBB88QX897/Nn//D6j+wv2Q/qVGp/G3+33Sx8WxMionXL3+d6JBoNp/azEtbX2r2/IkTJ6iqqsJsNpOenu7XvL+2GDZsmLtv8Dmh4G/XwbotoivH//4CLAEiun7nDTCgj5gM//0Nva2RNCAdwG7Or38NEyeKhPEHH2x8/K8b/sqeoj0kRyS79bEChZsybmLe4HnYnXZ+9vXP3Ena+fn57tCvvxOx2yM+Pt49M9ecVAC+2wzLG0K//3tf4AzIACOHwY0NoeCnXoJqD8s4JbqxZo1wtBRFhIBDQ/W2qJGMDCEODWLcKS8X2zsLdvL8xucBeHnhy8SFxeljYAv0ie7DU3NEq8+HVj7EiQqhtWez2dx6f0OHDiU0gC60xWJxh4JPnDhBTU2DdFZ5ZaPe3+3XwJD+OlnYAiHB8Pt7xfZn38LWHfraIwGkA9jtMZvhpZfEQs9//wsrV8KJihP8aZ1o5vnXC/9KQriOCUQtoCgK/1r4L8IsYaw6soq3ct+ivr6eQ4cOATBw4MCAGpA1hgwZgsVioaamhpMnT4pWb5rky42XCwmWQONnN4milIJieLWdDH6JrtTViRw7EGHWrrZ89AW/+Y1QIigoEM6gqqr8fMnPcapOrhpxlU/FnjvLzyb8jKl9p1JdV80vlgr9uoMHD+JyuYiJifG7woAnJCYmuvuT79u3T0ySX3pH5PMO7g8/9r2uYocZOwqualCYeOqljgvVSryOdAB7AOPHN35x/Pzn8MDSB7HWW5nWfxo3Ztyor3GtMDhuMH+YKZYTfrfyd+w/uB+Hw0F4eDh9+vimO0lXCQ4OdlckHzt2DMcbH0F+kai8vSswrzOhIfCbhoSy976EY6f0tUfSKn/9K+zdK2RX/vxnva1pmZAQ+Oc/xfY//wl/+vJt1h9fT3hQOM/Pf15f41rBpJh4+dKXsZgsfJb3GSt2rXC3eRw2bFhARRo0NGkYs9lMZWUlJRuz4dNvxZO/+5mIxQci990KcTFinFn8td7W9HikA9hDeOIJSEmB/fWr+CjvA0yKiRcXvBiQg5vG/VPuZ0jcECKJpDBfCLampaVhMgXubdurVy+ioqIwl5ZjevsT8eAvbhOOVqAybSKcP0HMyKVUQ0BSUABPCpUknn0W4gIninoOc+aI7iAuSxVPbBTdPv4w4w/0i+mns2WtMzp5ND+f8HPMipmSUyWA6PahZ9Vve4SGhtK/f39QVYJeeEN0+5h7PozTseq3PSIj4B4hAs5/3ofScl3N6ekE7jepxKvExsIfn3DCRb8E4PaMu/3W7aOzhFhCeO7C57hr8F0oikJ4bLjfun10FkVRGDp0KIOXrMdkr8c5ahhcOF1vs9rngZ+IxPHvt8qCkADkscegulr0+/7Rj/S2pn2eew4sM5+jPqSQ1JBh3D/1fr1NapdHZz3Ktf2uJSUkBYfi8Gu3j87St29feucdI+bAcVzBQWKyGehcOkcUxFXXyF7BOiMdwB5E0Ph3IGUX1MYR8sMf9TbHI6YnTWdC3ATqXHW8fPhlvc3xiJgTBfTKFrpiBy+fjX+ac3WRAX3ghkvF9j/eEt1KJAFBXp5ouwbCsQrgBXA35pgzKOc1yDitfAqT6n/B544SHRTNjwf9GIA3jr5BjaNjfcn1wOx0MfTr7wA4MXM8tvgYnS3yALMZfnOn2P58BRz2oIuSxCcYYCiReAO7w85j3zWU6K17iP+8EE9DkVvAoqqqW1fvi9Nf8OrOV9l+ZrvOVnnAi6LFWv6EkZyJj6SsrExngzzkx9dAVAQcOiY6CUgCgv/5H+GPX3YZzJyptzWe8fjax6lXrFjyp3B6xZXu9pSBzIkTJwgiiAJ7Ae8fe5+/bvir3ia1zyfLMOcXUx8TxfFZE9rvEBIoZI2E2VNE2Pqld/W2psciHcAewr+2/ovjFcdJjUplRti91NUJ8dZAprCwkOrqasxmM9YIIVHy+9W/19mqdtiSC1t3QpAFW0Mz9CNHjrTbbzQgiI5sFGz993+hvuVOLBL/8d13QlfPbIann9bbGs/YV7yPV7YJcfGfD30GUHj0URHCDlTsdjsnTggJmLCkMJyqk79u/CvF1mKdLWsDmx1e/wCA+tuuwhkSTH5+PrW1tTob5iF3/0joGa3eALsPtL+/xOtIB7AHUGmvdMu+PDbzMf76tOie8d57sGePnpa1jsvlcq/+9e/fn4dnPoxZMbPkwBK+P/69zta1gqo2zmavvIjUcZmYzWaqqqrcVYUBz/WXQkIcnCporCqU6Iamq/fTn8Lw4fra4im/X/17nKqTy9Iv49n7pjN4sGgP94/AkhttxrFjx3C5XERFRXFJ1iWM7TWW6rpqnl4fwF734q+gpBxSkwm//lLi4+NRVdWtXxjwDO4PF88S2//3tq6m9FSkA9gDeH7D8xRbi0lLSOPHY3/M+PFw5ZXCXwmUTgJnk5+fj81mIzg4mL59+zI0fii3j70dgEdWPRKYK2rfZ8OOPCF6+uOr3baDgVYBw0LhjuvE9quLodamrz09mDVrYO1a0WXj4Yf1tsYzdhXu4qM9H6Gg8OcL/kxwMPyxId34L38JzFVAu93OmYY2SYMHD8ZsMvOnC8SE+cUtL3Km6kxbh+tDtRXealAZuPMGCApyF60UFBQ0ikMHOnfeIIrPNuVIcWgdkA5gN6fSXsnfNv0NgD/O+iMWkwVoXFlYvDjwVgFdLhfHj4vE4H79+mE2i+4Z/zvjfwk2B7P22FpWHF6hp4nnogmxAlx7CSTGA6JKz2KxYLVaKSws1NHADrBonhCHLimHT5bpbU2P5bHHxO877oB+gaug0ow/fSccp6tHXs2o5FGAkIQZNgxKSho1AgOJ48ePo6oqMTExbpWBBUMXMLXvVGwOG0+ue1JfA1viv59DRRUM7AsLZgEQHR1NYmIigHFWAfv0gisuFNsyF9DvSAewm/N/W/6Pcls5wxOHc/XIRnX4zExYtEj4LX/6k372tURBQQE2m42goKBm/X77xfTjZ+N/BhB4g/LaTbDvMISHNev3GxQURL+Gb+9jx44ZYxUwKKixk8A7n0KdzAX0N01X/373O72t8Yy9RXv5YLfISfv9jMZcXYsFft/w53PPBdYqYNPVvwEDBrh1URVF4ckLxBjzn23/4XTVad1sPIdqK/z3C7F9140iQbQBbRWwqKjIOKuAt18DQRbI3QvbdultTY9COoDdGGu91V3J9tC0hzCbmveh1VYB339fSE0EAq2t/mn85vzfEGQKYu2xtfxw4gc9TDwXVYU3PhLb11wMsdHNnu7Tp48oZLFajZMLeMls0cGkqBS+XKm3NT2Oxx8Xv3/yEwOt/q37EyoqVwy/gjEpY5o9d+ONMGQIFBfDv/6lk4EtcOLECVwuF9HR0cSdpa49e9Bszu93PnXOOp7fEEBdTD7+RmjoDewLc85r9lRkZKR7FVAbRwOepAS4dK7Yfv1DfW3pYUgHsBvzn+z/UGQtYlDsIG4YfcM5z48dC5dfLvyXQGktVVhYSG1tLRaLpdnqn0bf6L7cknkLAE+tf8rf5rXMtt2waz8EB8ENl53ztMVicbev08JNAU9QENx8hdh+62NwSF1Af/H992IFMCgIHnpIb2s8Y3/Jft7f9T4gUjXOxmJpVB149lmwWv1pXcvU1dVx+rRY2Rs4cGCLXZEemib+Af/K/hdltQEg52Sva1z9u/WqFkUh+/fvD4hIimEqgm+5Eswm2LAd9h7U25oeg3QAuyl2h51nfngGgN9N+x1B5pZ7Q2qhmffegwYVBN1QVbXZ6p/FYmlxv9+e/1sUFL7a/xU7CgIgcfiNhlnrZXMhseUeXX379sVkMlFVVUV5ebn/bOsKiy4UfTtPFUhdQD/yXIN+8i23GGf179nvn8WluliYtpCxvce2uM+PfgQDB0JhIbz1ln/ta4lTp065K3/PXv3TuHjYxWQkZ1BdV80/twRAAuOXK6GkTKzOXzSjxV2armaePHnSn9Z1nr694MKG9/P6R/ra0oOQDmA35Z0d73C66jR9ovpwa+atre43YQLMmiXawL7wgv/sa4mysjKsVitms7nF1T+NtIQ0dz7j/1v///xlXsvkHRKzVpMJfnRFq7sFBwfTu3dvAOOItYaGwE2Xi+03PhKirRKfsn8/fP652P71r/W1xVMKqgt4a4fw6P7n/P9pdb+gIHjgAbH917/q22zG6XRy6tQpQKyYtdYTXVEUfjdNJGH+fdPfsdbruHTpcILWX/zmK8QFbQVtFfDMmTPU1dX5w7quc1tD3vHqDXBE59WIHoJ0ALshqqry/EaRs/KrKb8ixBLS5v4PPih+//vfUFHha+taRxNi7d27N0FtDG7QGJpZvHsxR8qO+Ny2VnmzYUC+cLqYxbZBv379UBSF8vJyKisr/WCcF7j6YogIFwPyBgN0YTE4f/mLSMm49FIYMUJvazzjn1v+SZ2zjsl9JnN+v/Pb3PfHP4a4ODhwQAhc60V+fj4Oh4PQ0FB3zlxrXDvqWgbHDabYWuwWuNaFFevFanxstFidb4PY2FiioqJwuVzGWQUc0h9mTREfgHc/19uaHoF0ALshKw6vYHfRbiKCIrhj3B3t7r9gAYwcCVVVjT1H/U11dbW7ZZqWL9cWY3uPZd7gebhUFy9uftHX5rXMmUJY2SBKfeuV7e4eGhpKcnIyYKDQTGS4kIUBIT0h8RkFBfCm6CLIb36jry2eYq23ukOjD573YKsraRqRkXD33WJbC3X7G1VV3ZPNvn37tmuzxWThwalilvz3TX/H6dJh6VJVGz9/1y8Uq/NtoCiKexXw9OnTOI3S2/tHi8TvJauhTMfViB6CdAC7Idrq3+1jbyc2NLbd/U2mxnDT3/4GekQMNIcoKSmJsLAwj465f8r9ALyy/RWq7FU+s61VPvhahEUnZcKwQR4doglDFxUVYbfbfWmd97huobhJNuXAQYOErw3Iiy+C3Q6TJ8O0aXpb4xlv5LxBaW0pg2IHccXw1lMgmnLvvULe5ocfxI+/KS4uxmazYbFY3GkZ7XFr1q3EhcZxuOwwXx/42scWtsDOfbDnoCg0u2qBR4ckJiYSGhqKw+GgoKDAxwZ6icwRMHKokJ76eKne1nR7pAPYzdhbtJdvDn6DgsIvJ//S4+Nuugl69YJTp+CDD3xoYAvY7Xb3ANWvA1nv84fOJz0hnUp7JW/kvOEj61qh1gafNbRKu/5Sjw+LiooiJiYGVVXdOUgBT2qKaNwOchXQR9hs8NJLYvs3vxEtUgMdp8vpnmzeP+X+c2SmWqN3b1EQAiLk7W+01b/U1NRzZKZaIzwonDvH3wnA3zb+zVemtc57X4rf82eIwiwPUBTFHU05efKkMdQHFAVubMg7/nCJ1CD1MdIB7Gb8fdPfAbgs/TKGxA/x+LiQELjnHrHtb7X+06dPo6oq0dHRREdHt39AAybFxC8m/wIQ79ul+rFI4Zs1UFUj8v6mTejQodoqoKFCM9qgvHQtlJbrakp3ZPFi0Smjf38h0G4Evjn4DQdLDxIbGsuPx/64Q8dqxSCffeZf9YHKykoqKyubOUeecs/EezArZlYfXe1f9YGCYljVkGrSgckmiHxqTYNUS7EJeOacB0nxUFKGsiJA+753E7qNA2i323n44YeZMGEC06ZN47XXXmtxv5tvvpn09PRzfh5qENyqqKg457nJkyf78610mhJrCW/limo8LTzaEX76U1FYtnEjZGd727qWaVqN15HVP41bMm8hNjSWQ2WH+Hq/n0IzqgrvfyW2r72kRS2utkhMTCQkJMRYoZkxw2FUmpiRf/SN3tZ0O15sSGO9++5mjR0Cmv/b8n8A/GTsT4gMjuzQsaNGwezZIoPi3//2hXUto+n+JSUlERLSdh7d2fSL6cdVI0WXn39s/ofXbWuVj74BpwvGjYL0wR061GKx0KuXKE4zTMQhKEiMq4Dy/pdivJX4hG7jAD7zzDPs2rWLN998k0cffZQXX3yRpUvPzSH4xz/+wfr1690///znPwkKCuLGG28E4ODBg8TGxjbbZ8mSJf5+O53ilW2vUOuoZWyvscwY0LJGVFukpMDVDZX4/loFLCoqwuFwEBIS0m41XktEBkfy03E/BRpXP33Olh1w+DiEhQrtvw6iKIp7FdBQoZkbGlYfPlkmdIMkXmHzZti6VazC/+QnelvjGYdKD7H0oBhffzbhZ506x89/Ln7/5z8i99HX1NfXu/txd3T1T0NLq/nvrv9Sai/1mm2tYrPDJw3fYx1c/dPQ3mtJSQnWQFDg9oQr5kNIMMq+w0QckpIwvqJbOIBWq5UPP/yQRx55hFGjRjFv3jzuuOMO3n333ObSsbGxJCUlkZSURHx8PM8//zx33HEHGRkZABw+fJhBgwa590lKSiIhIcHfb6nDuFQX/84WU+n7Jt3XbmVba2hh4PfeEyEpX6PNyHv37t15myfeg0kxsfLISvaX7PemeS3zfkM+zsILIDKiU6fo1asXJpMJq9VKhZ7aOx1hznki/6i4FNZt0duaboO2+nfddZCUpK8tnvKvrf9CReWioRcxNH5op85x+eWQmiqEoT/5xMsGtsCZM2dwuVxERkZ2KNWkKVP7TmVi6kTsTjtfnPCDjs3StVBRBb2TYUbnIlHh4eHEx8cDjeNtwBMbDRfNBCB5jRxrfEW3cADz8vJwOByMHduoQD9+/Hhyc3NxtSFe+8knn1BRUcFPf/pT92MHDx50N9Q2EssPLedI+RFiQ2O5bvR1nT7PeedBVpZISn/9de/Z1xLV1dXufBxPq/FaYkDsAC4edjEAL2e/7C3zWuZ0QaPzc93CTp8mKCjILQljmEE5KAgub1jxlBV6XqGoSOT/gaiONQK19bW8liNSbH4+4eedPk9QENx1l9j2dcRBVVX35yw1NbXTk01FUbh7gtCx+fT4p77PO9bSLa65GCydzw3QVgHz8/ONk3d8jRjTY7ftgZJyfW3pprTca8tgFBUVERcXR3BwsPuxxMRE7HY75eXl7tlPU1RV5ZVXXuGWW24hIqJxFefQoUM4HA6uvvpqCgoKmDBhAg899JD7y7olnE6n1z9U2vk8Pe9LW0UJ4c0ZNxNiCumSPXffrXDXXSZeeknlF79w+SwnSZN+SUhIwGKxdMnmO8bewVf7v+L1nNd5fObjhFpCPTquo9dZ+XQZJlVFnZSJq1/vLrUz6NWrF/n5+RQVFWGz2doVvw4ILp+H6c1PUDZux3n0JPTzzHHv6HXuKbz8skJdnYmJE1XGjXN1uTuGP67z+zvfp7S2lAExA5g/eH6XXuv22+GJJ0x8/73Ctm1OMjO9aGgTSktLsdlsmM1mEhMTu2Tz1SOu5v5l93PKeorlh5Yzf+h8L1rahL2HMOcdQg2y4LpkdpfGmpiYGEJCQrDb7RQWFrb5fRYwDBuIMioN0+79ONZuxHnlRV49vRyLuokDWFtb28z5A9x/t9YGZ9OmTeTn53Pttdc2e/zw4cPEx8fz0EMPiY4azz/Pz372Mz788MNWJQP27/dd2HHnzp3t7lNYW8hX+0VRwvTw6eTk5HTpNUeNUoiKGsPhwxZeeukw06Z5v2uFqqpUV1cDUFNT02Wbe6u9SQlNoaC2gL8u/SsX9724Q8d7cp1xusj4ZCnBwOGsYZR30WZVVTGZTLhcLrZv337OPRyoDB01hJhdByl6+R1OXTWvQ8d6dJ17CE4n/OMfGUAwl1xylJwc7+WU+fI6P7dOKDhf2vtSdu7o+uvMnj2I5cvj+dOfSnnkkeNdPl9LaLlvJpPJK9dmfu/5fHD0A/6y5i+kVKd0+Xwt0f+dL0kCyrKGc+To4S6fT8s1PnjwoGGiDuGXzaC3GU5GBGHv4ngrOZdu4QCGhISc4+hpf4eGtrwStGzZMmbMmEFsbGyzx7/++msURXEf98ILLzBt2jRyc3MZN25ci+dKS0sjPDy8i++iOU6nk507d5KRkdGuVtUT3z2BU3Uyvf90rpzefkcKT7j9doW//x1WrhzKvfd6P8xx+vRpqqurCQsLY/z48Z0OyTTl7uq7eWztYywrWcbDCx/26JiOXGfWbsJcUY0aF83AW65tsxenp5w5c4aDBw9iMpnIzMz0ynXwObfWwW+eImXTTpL+91dCnLYdOnSdewjffAMFBWbi41UefLA/oaH9u3xOX1/nrae3sqdiD8HmYB5Z8AhJEV1PWnzoIVi+HJYtS+TVV+PpZHpeq9hsNrZsEWkbY8aM8cpY/btev+ODVz7gu8Lv6DW0F70i224D2WGstZiynwYg5sfXkZU1usuntNvtbN68GafTybBhw5pFvgIVZ0YGOwf28cn9bLVafbp4YwS6hQOYkpJCWVkZDocDi0W8paKiIkJDQ1tN9l23bh33tpB0c3YXioSEBGJjY9uU6zCbzT77Umvv3A6Xg1dzXgVENZ637LjrLvj732HJEoXCQjNdSNE7B1VVyc/PB0RuivY/6yo/Hf9TnvjuCb4/8T15JXmMSh7l8bEe/Q8/XwGAculczK1MLDpKr169OHLkCLW1tVRVVREXF+eV8/qUGZMgJRGloBjzmo2wYJbHh/rys2I03nhD/L75ZoWICO9eE19d59dzRWLw1SOvple0d5yeWbNE3+O9exU++shMk5Rsr6BV/mr9cb3BmF5jGBM3hh1lO3hzx5s8PN2zCafHrPwBrDbon4p54hivKIOHh4eTmJhIcXExBQUFDBs2zAuG+gdf3M9yHOomRSAjRozAYrE0CyNmZ2eTkZGBqQWNttLSUk6cOMH48eObPV5dXc3EiRPZuHGj+7GCggLKysoYPLhj+kv+YsmBJZysPElieCJXjbjKa+cdMQKmThVhqrfe8tppAaiqqqKmpgaTyURKivfCJ6lRqVyWfhmAuyLaa+QXwQ8N4ojtNGLvCBaLxX0NjBKWwWyGKxqugSwG6RSFhfB5Q1MVo0i/WOutvLfrPUBo/3kLRRG5gACvvuq10wLNJ5tdKTRriSsHiGjLf7b9x/vFIJ8sE7+vmO/VtjCpqamAwYpBJD6jWziAYWFhLFq0iMcee4wdO3awYsUKXnvtNW655RYAd5K9xoEDBwgJCXFrsWlERkYyfvx4nnrqKXbs2MHu3bu5//77mT59Ounp6X59T57yn23/AeC2zNsIsXRM2LQ97rhD/H71Ve9qcZ45cwYQYqzeLnzQNMneyn2L2vpa75348+XiIkzIgP6p3jsvjV9MxcXFreasBhyXzxMC2Dl74LhBHNcA4u23hZTipEnQoEAV8Hy852Mq7ZUMih3ErIGzvHrum28GiwU2bYLdu7133rKyMux2OxaLpVM6o20xt/dc4kLjOFp+lG8Pfeu9E+cdgj0HxAVZeIH3zgvExcURGhqK0+l0r4xKei7dwgEEeOihhxg1ahS33norjz/+OPfddx8XXihWKaZNm9ZMzLmkpITo6OgW862efvppRo4cyZ133snNN99Mnz59eO655/z2PjpCfnU+3xwQMgF3jLvD6+e/9lqIjIQDB2DdOu+cs+nAoynUe5O5g+cyIGYAFfYKPsv7zDsndTjhCxH+5QrvV/xFRUURFRWFqqrG6QySlABTGmSXvlypry0GQ1XhlVfEtlFW/wBe3S6W536c9WNMine/OlJSYGGDqpI3VwG1yWZycrLXQ36h5lB+lCGaGr+2veXOU51C6zE+e6rHfX89panklrYyKum5dBsHMCwsjKeffprt27ezbt06brvtNvdz+/bt48orG4sjLr74YtavX9/ieWJiYnjqqafYuHEj27Zt49lnnyUmxrsfQm/xzo53cKpOpvadSnqi91coIyOFOC14b1AuLi7G6XQSGhp6TgGONzApJm7NvBWAN3Lf8M5JN24X/ThjosSg7AM0Z9hQg/Jlc8Tvr1d1SaKip/HDD5CXB+HhcP31elvjGQdLD7L22FoUFG7Lus0nr6E5w2+/Dd5YCK+vr6e4uBjwfvhXQ7sWn+/7nNJaL1Rx2+yw9DuxfYX3Uk2aoo01FRUVxukMIvEJ3cYB7GmoqsobOW8A+GxAhsZB+cMPwRsNK7QZea9evXxW8XpLpgj9Lz+0nJOVJ7t+wq9Xid8LZnlU8doZkpOTURSFmpoaqqqqfPIaXmfGZOEUF5bA5ly9rTEM2mTq2mvxesWrr3h9uyj+mD90Pv1iOt6z2xMuugh694biYvjCC002CgoKUFWVyMhIrxV/nE1mSiaZKZnUOet4f9f7XT/hd5uhugZ6JYl0Ex8QEhLiLjYzTMRB4hOkA2hQtp7eyu6i3YRaQrl21LXtH9BJpkwRBSG1tfB+F8e32tpaysvLAd+EfzWGxA9hxoAZqKi8nft2105WVQ1rN4ltL+fjNCUoKMido2SYVcDgIJjf0HP6CxkG9oSqqsbOH3d4P2vDJzhdTvdq+u1Zt/vsdSwW0AI3XY04qKrabLLpS7QJuDYh7xJfrxa/L54tcmx9RNOIgyF6kUt8gnQADYo22Fwx/ApiQ2N99jqK0rgK2NXWcNpsMzY2tlV9Rm9xW+ZtgAgDd2mAW/E91NXDkAGQ7ttKcG1QLiwsbLOFYUBxWUNruLUbobJaX1sMwMcfg9UKaWmi7aIRWHZoGaerTpMQluCusvcVWjXwsmVwsguL99XV1dTU1KAoileVBlrixowbsZgsbDm9hT1Fezp/ouIy2LhNbF8y2zvGtUJiYiJms9ndLUvSM5EOoAGxOWxuOYYfZ/3Y5693001iMrppExw82LlzNJ2R+yofpylXj7ya8KBw9pfsZ+PJje0f0BrajPyS2V6VY2gJrZ1hfX09JSUlPn0tr5E+GIYNFE7ysu/0tibgeecd8fvmm31+O3mNt3KFDtRNGTd5XWngbIYOhenTRaHMe+91/jzaKnpiYqLPWywmRyRzybBLAHgz583On2jpWnC6ICMdBvTxknUtYzab3e3gDBNxkHgd6QAakC/3fUmZrYy+0X25YJDvwpIavXpBQ0E1777buXOUl5djt9vdvTh9TVRIFFePvBqA13M6uXR58oyQOTGZYMFML1rXMk11EQ0zKCsKXNpQDPLlCn1tCXBOnoRVDemkN92kry2eUmmv5PN9QrBQy631NT8ShbVuZ7mjuFwunyoNtIQWBn57x9s4XI7OnUTLNb7E92M6NF6boqIiHI5O2iwxNNIBNCBaPs4tY27BbPKPmrk2KL/9duc0AbUBOSkpyW8K7FoYePHuxVjrO1HttmSN+D0pU8ie+AFtUC4pKTGOJuCCWUIces9BOHJCb2sClvfeE5+dadNg0CC9rfGMT/d+is1hIz0hnXG9W26F6W2uuQaCg2HHDvHTUcrLy6mvrycoKMhvnXUuHnYxieGJnKk+w/JDyzt+gv1H4MBRCLLAhdO9bl9LREdHExYWhsvloqioyC+vKQkspANoMIpqilh2UKjE+2tGDrBoEUREwKFDIhTcEZoOML7Ox2nKzIEzGRAzgEp7JV/t/6pjB6tq8/Cvn4iIiHBXLBpGqDUuBqY2aALKMHCrvN1Qj3Tzzfra0RHe2SmW4X405kd+61MdFweXiIhqpyIOWq5xUlJSi52gfEGwOZibMsSy7pu5nQgDf9Ww+jdjEkRHetGy1lEUxT3hlNXAPRPpABqMD/d8iFN1Mr73eJ9o/7VGRARccYXY7mhopqSkBIfDQXBwsE+0/1rDpJi4MeNGAP67878dOzh3L5zKh/AwmDXFB9a1juYkG2pQvqghRP7NWu+2jekm7NgBO3eKla1rrtHbGs84XXWalYdFdbf2OfIXWsTh3XehI/VQDodDl8kmCCcZ4It9X1Bd14GCKIcTlq4R2wvneN+wNtCukZaiI+lZSAfQYGiOjL8HZGgclN9/v2NCrZojk5KS4rdVBA3tOn1z8BvKass8P1DLx5lzHoT5tmL5bJKSkgDRM7m21ovt7HzJzMkQGiKc5t379bYm4NAmTQsXihUuI/D+rvdRUTmv33kMjvNvL/SLL4bYWDh1Ctau9fy4kpISXC4XoaGhRPtZZHF87/EMjR9KraOWz/M+9/zAjdugtKL5SrqfaHqdDBNxkHgN6QAaiKPlR/n+xPcoKFw36jq/v/6cOaIgpKREyDR4gsPhcFe0alVn/mR08mhGJ4+mzlnHJ3s/8eygunpY/r3Y9mP4V6OpUKthBuWw0MaV0qUyDNwUp7MxlGmo8O+OhvBvQ7szfxIa2rhS2pGIg56TTUVRuHG0mHBqKg0eoX1e5s8QYoh+xpARB4lXkA6ggdCU5mcNnEWfaN/KBLSExQI33CC2PR2Ui4qKUFWV8PBwIiP9k9tyNtqg/N9dHoaBN2wTavxJ8TButA8tax3NWda6GRgCLQz87XcirCUBYM0aOH1arPwtWKC3NZ6xp2gP2/O3YzFZfCo03xZaxOGjj4QQfXvU1dVRWirasfk7/KtxQ4YYIJcdWkaJ1QMpJ5u9UWj+ohk+tKx1tIhDdXW1bA3Xw5AOoIHQM/yroQ3Kn3/uWWs4PWfkGtePFg1XVx9Zzemq0+0fsLyhT/S86T5V42+LpKQkFEXBarVSU1Ojiw0dZkqWaA1XWgFbO1G+2U3RJkvXXQchvpXR8xrv7hBLlguGLiAh3D8V8GczbRr06weVlfCVBzVc2mp5VFQU4eHhPrauZYYnDmdsr7E4XA4+2vNR+wes3wK1NkhNhlFpvjewBYKDg4mPjwcMFHGQeAXpABqEnQU72Vm4kyBTEFeNuEo3O8aOFa3h7Hb49NO2922qMq9H+FdjUNwgzut3Hioqi3ctbnvnpjNyP8kxtITFYiEhQXzxGiY0Y7HAvGlie2kHEre6MTYbfNKQeWAU7T+X6uLdncIB1Aob9MBkarxmnkQcmk429eSG0WIV0KOIw7J14veF03VVBjdkxEHSZaQDaBC0nJKLh11MXJh+WeSKAteLBTU++KDtfbXZpKY3pSce5+ZoM/I+KTBqmB8sax1tUC4sLDTOoKyFgVdvEM50D+fbb8UKVp8+xmn9tunkJo5VHCMyOJJL0y7V1ZYbG4IdS5e2HXGora2lqqoK0HeyCY0Rh3XH1nGiog1dzGorfL9VbF+oT/hXIzExEZPJRG1tLdXVsqVjT0E6gAZAVdWACP9qXNuQErR8OTSk3LSI5gDqPSMHuGbUNZgVM1tOb+FAyYHWd9Rm5POm6d6rKyEhwd2vs7KyUldbPGbMcOidDDW1wpnu4SxuWHC+9lrdsgk6zAe7xczu8vTLCQvSd+I2erSIONTVwRdftL6fJv0SGxtLcHCwn6xrmX4x/Zjef7qIOOxuI+KwdpMoOBvYV7RT1JGmEQcZBu45GGRI6tlsOLnBPSNfmLZQb3MYPhzGjAGHo/UwcNMZuZZkrCfJEcnMGzIPaGMVMIBm5ECztnmGCQObTDC/IXTew0Wha2sbnZZr9amj6DAu1cWHez4E4JqR+gsWKkrjtWsr4qA5LXqv/mloE/U2Iw7fBkb4V8OQEQdJl5AOoAHQZuSLhi8iPEif5OazaW9QDqQZuYaWm9PqoBxAM3INbfW0qKgIV0cUcfVkXoMD+MM2sBpEx9AHfPMNVFdD//4webLe1njGxpMbOVV1iqjgKOYPna+3OUCjHMyyZdCQUtyMpmFLf/QZ94SrR16NxWRh25lt7Cved+4O5ZWwcbvY1jHXuCnx8fHuiEOFJxV+EsMjHcAAx6W63NVk144MnGUEzQFcuRKKi899XnMAA2H1T+Py9MsJNgeTV5zHnqI95+4QYDNyEA60xWKhvr7eOINy2iDo1xvsdbCu54aBtcnRtdcGzO3ULu7w7/DLCbX4VwC9NUaNEj/19UJ94Gy01b+4uLiAmWwmhicyd/BcAPeKajNWbxACkWmDxIQzADCbze7xWvYG7hlIBzDA2XRqk3tGroUwA4Fhw0RFsNPZWOWoEWjhX42Y0BguHHIhAB/uPmtQrgi8GTmAyWQy3qCsKKKDCsDKH/S1RSdqauDLL8W2DP92He0aLm4hpS4QJ5vQeA1blINxTzb1TzVpStOxRoaBuz/SAQxwPt77MQCXpl8aMDNyjesampGcHQYOxPCvxtUjrgbgo73NB2VlzaaAm5FrGHJQntsgB/P9VlFV3cNYsgSsVhg0CCZM0Nsaz9hwYgOnq04THRLtnigFCq0Vnlmt1oAL/2pcnn45ZsVMbkFu88KzkjLI3iW2L5ymj3GtEBcXh9lspq6uzjgRB0mnkQ5gAKOqqrt9WaDNyKExN2f1amhaOBaoM3KAy9IvI8gUxK7CXeQV57kfV1ZtEBvzAmtABoOGgdMHQ59eIgy8fqve1vidptW/hgv/pgdO+FejaeHZZ581Pq6NNYEU/tVICE/ggkEXAI0TeQDWbAKXC0YOg1T9FRKaYjKZ3I60YSIOkk4jHcAAZk/FHo5XHiciKIL5QwIjIbspgweL1Q2XCz5uGN9sNltAhn814sLi3Lk5WmjGXFMLWxo6V1wQeGJtTQdlw0g0KArMPV9sr1ivry1+proavv5abF/n/5bdncKlutyr4oE42YSWC88CebIJrYSBVzWkRQTgWAON17K4uNg4EQdJp5AOYACz4vQKABamLdRdj6s1tC84bcVDG5BjYmICbkaucfagHLNjP4rTCUMGwAD/91j2BEMOypoDuL5nhYG/+kp0ABk6FLKy9LbGM3448UPAhn81tIjDihVQUtI8/BuoDuCi4YswKSayz2RzuOwwVFTB1p3iyQum6mtcK2hhYEPpj0o6hXQAAxRVVVmVvwoQkgKBijYor1snwsCBpsfVEpcPvxyLySJyc0oPELd9r3giQAdkMGhuzvAhoqOKvQ5+yNbbGr+hFUVdfbUxw78hlsBsWJyWJhxqp1PojzYN/wYFBelrXCskRSQxa+AsAD7e8zF8t1m8gaEDoH+qvsa1gtlsdotCyzBw90Y6gAHK9vztnLKeIswSxoKhC/Q2p1UGDIBx40QYeMmSxvBvoCVkNyU+LN6dm/NFzgdE7zkknghgB9CQuTmKAnPEKqDSQ6qBa2tFAQjAlVfqa4unNJOaGhXYJctXNbRB//RTY0w24azCMy3XOEDDvxqGLDyTdBjpAAYoWtLwxcMuJiI4Qmdr2uaKK8TvI0caw78hIYG5iqChhYFLli/DVO9A7dsbhg7U16h2MOSg3BAGVr7PRqmr19kY37NihZCA6dvXWNW/Z6rPEB0SzbzBgSM11RLaWLN7dy01NTVAYE82Aa4YcQUKCnuOZaNu3CYeDHAHMD4+HpPJhN1ud0/qJd0P6QAGIKqquh3Aq4ZfpbM17aOtdKSkBHZCdlMWDV+EWTEzNk/kpqmzpwR8vK5pGNgwuTkjhkJqMorNTsyug3pb43O08O8VVwT87eTm0zzRz3Fh2sKADf9qjBwpQsGTJzdKTQVq+FejV2QvZgyYwSUFKSj1DujfB4b019usNpFh4J6BdAADkB0FOzhYdpAQU0hAh381RoyAiRPtjBwpnBIjOICJ4Ylc2G82lxQIGQZ19hSdLWofQw7KigKzRGg9NreFlljdCIejsfevUcK/qqryWd5nAFwx/Ap9jfEARRHO9bRpov1QoK/+aVw98mquOtNb/DFnqiFmB4aMOEg6hHQAA5DvT3wPwNSkqUSFROlsTfsoCtx6qxiQ8/OjAz78q3GP63yinBbywx1Ck8sAGLIaeJZohBuzYx84nDob4zu++06IFCcmwrTAk5NskV2FuzhUdogQcwgXDb1Ib3M8YtGiOkaNEpPNqChjOIBXDLqEiwtFrmLR5DSdrfGMhIQETCYTNpvNHW6XdC+kAxiALBq+iHsm3MMvRvxCb1M8JiNDOIBLlyZiM4jix6zDQqbmg5QTFNQYQ18vLi4ORVGMNShnjkCNjcZitUHObr2t8Rmfikgql10GFou+tniKtvo3b8g8IoMj9TXGQ/r1K8Zkgry8KNavDyzB6tbos7uACKeFo2FWPiVXb3M8wmw2ExcXB4gJp6T70W0cQLvdzsMPP8yECROYNm0ar732Wqv73n333aSnpzf7Wb16tfv5N954g+nTpzN27Fgefvhhamtr/fEW3KRGpfL3i/5O/8jAzhPRcDgcqGo5AKtWJbJihb72eITDQcQG0Y7po96n+erAVzob5BkWi4X4+HjAQIOy2Yw6fSIAytrNOhvjG1yuRgfQKOFfaMz/M0L4V6OkRNz369cnuq95wNNQBf9J7zN8vv8LnY3xHC3EbpixRtIhuo0D+Mwzz7Br1y7efPNNHn30UV588UWWLl3a4r6HDh3i2WefZf369e6f888X1YrLli3jxRdf5I9//CNvvvkmubm5PPvss/58K4ajpKQEVVWprAznxIlwYwzKW3dCZTXVkRa+jy/l832f622RxxhxUFZnijCwsnYTGCV03QG2boVTpyAyEubM0dsazzhWfozt+dsxKSYuTbtUb3M8wuFwUFZWBsC6dYl88YWQ1Qto6uth3RYAPu59hhWHV1BlN0ZlrZZzXF1djc0ooR2Jx3QLB9BqtfLhhx/yyCOPMGrUKObNm8cdd9zBu+++e86+dXV1nDx5koyMDJKSktw/WteKt956i1tvvZXZs2czZswYHn/8cT7++GO/rwIaCc0R0fJxvvhCJMQHNKuFHpd9WhYuBVYeWSkHZV8ycQzO4CCUgmLYd1hva7yOVv17ySUQaoyopDv8O63/NJIiAr9wC6C0tBRVVQkNDaOqKpyiIvj+e72taofsXVBdg5oQR/GQROqcdSw92PLiRKARHBxMTEwMYKwJp8QzuoUDmJeXh8PhYOzYse7Hxo8fT25uLi6Xq9m+hw8fRlEU+vXrd855nE4nO3fuZEITAa+srCzq6+vJy8vz3RswMC6Xi9LSUgCyshKJj4fiYlgfyO1fVVUo8gOxF15Ev/B+2J12lh1aprNhnhEcHEx0dDQgVl8NQWgIlaOGiu0G57u7oKrN5V+Mwmf7PgNgUfoiXe3oCI29fxO59FJRSRvwEYeGsUaZMZHLRywCkBEHSUBgkFTltikqKiIuLq5Z79nExETsdjvl5eXunCkQDmBkZCS//e1v2bx5M7169eK+++5j5syZVFZWYrfbmynLWywWYmNjyc/Pb/X1nU4nTi/HIbTzefu83qa0tBSn00lwcDBRUeEsXOjirbdMfPKJi+nTAzTUt/cQ5qJS1LBQnGNHMuvYLN4+/Daf7v2UK9KN8Q2ekJBAZWUlRUVF9OrVS29z2sXpdFKeNZy47XtR12zEdecNepvkNXbvhgMHzAQHq8yf79I1JOnpuFFsLea7Y98BcFnaZQE/zkDzyWZ8fDyLFjl56y0zn3yi8uyzLr8qq3g8Pqsqpu82owDOaRNYOGAMz/7wLF/t/wpbnY0gc2BrGALuQpCKigpsNptfdRd9+T1ohHve13QLB7C2traZ8we4/66rq2v2+OHDh7HZbEybNo0777yT5cuXc/fdd7N48WL3TKelc519nqbs37/fG2+jRXbu3Omzc3sDLQSpqiq5ublkZsYAQ/ngAwe33LIzIOWuen+xmlSgfPggDu/fx8xeM3n78Nt8ue9Ltm7bisUU+B8LbWW7vLyc7du3owTihT4Lc8YwVJOCcug4e79dhT05vv2DDMCrr/YC+jBpUgWHDh3S2xyg/XHjyxNf4lJdpEWnUX60nBxy/GNYF3A4HDidThRF4dChQyQnmwgNzeT4cTOLF+9j+HD/p+m0d53DTuQzMr8IZ3AQucEQWhxKfHA8pfZSXlv1GpOTJvvJ0q5hMplwuVzk5OToIrwd6N+DRiXwv+k8ICQk5BwHTfs79KyEnJ///OfcfPPN7ryG4cOHs3v3bj744APuv//+Zsc2PVdYWFirr5+WlkZ4eHiX30dTtHB0RkYGZrPZq+f2FqqqsnmzCG+kp6cTFxdHejr8/vcqBQXBKEoWWVn62tgSpr+8BUDMpXPJyMjAucNJcngyhdZCKuIqmDPIGFn82dnZWK1W+vTpE/D9ULX7WR03GmXrTkYWVaFeeIHeZnmF7GyRSfOjH0WTpfMN7+m48fj+xwG4Put63W32lAMHDlBbW0uvXr0YOlSkEyxYYOLTTyEvbzjXX++/iIOn11nZuhgA09RxZE4SlfBXnLqCV3NeZY9zD3dl3eUXe7vK0aNHOXHiBJGRkYwYMcJvr+vL70Gr1erTxRsj0C0cwJSUFMrKynA4HFgaBLiKiooIDQ1150ppmEwmt/OnMXjwYA4ePEhsbCwhISEUFxczZMgQQMw6y8vL2+xuYTabfeak+fLcXaWyspK6ujrMZrO7d2RkJMybJwpBliwxM3683laeRX4R7D8CJhOm6ZPE9VXMXJp2Ka/mvMqX+7/kwqEX6m2lRyQmJnL8+HFKS0vp3bu33uZ4xqwpsHUnpu82wy0G0ktphfx8aJgDcdllJgLlo9rWuFFTV8Pyw8sBuGrkVQE7vjRFVVV3vmtSUpLb5ssvFzmAX39t4okn/G9Xu+Pz+q0AKDMnu/dbNGIRr+a8yuf7P+cfF//DEKv3SUlJnDhxwl2B7e97xhffg0a4731NtygCGTFiBBaLhZycHPdj2dnZZGRkYDI1f4u/+93veOihh5o9lpeXx+DBgzGZTGRkZJCdne1+LicnB4vFwvDhw336HoyIlhSsKcZrXNqgKPFFIMpdNSRkM2Y4xDVOBC5LvwwQifFG6bChpSxoeZhGQJ0xSWzk7oWSMn2N8QJffy1+T5gARvHBlx9ejs1hY1DsIDKSM/Q2xyMqKyupr6/HbDYTGxvrfvzii0Unou3b4eRJ/exrkYJi2HtQGDitsbBwzqA5RARFcLLyJNvObNPRQM+JiooiODhY5PKWl+ttjsRLdAsHMCwsjEWLFvHYY4+xY8cOVqxYwWuvvcYtt9wCiNVALVftggsu4Msvv+Szzz7j2LFjvPjii2RnZ/OjH/0IgBtvvJFXX32VFStWsGPHDh577DGuvfbaNkPAPRXNATy7H+cll4jfW7fC6dP+tqodNAdQc0QakIOyn0hJhJFDRelsgzaakfnyS/H7UmPI6AHw1X4hen5p2qWGWH2Cxmp3LdKgkZQEU0Wrab4KNC137f7OSIf4WPfDYUFh7rZ7RqkGVhRFVgN3Q7qFAwjw0EMPMWrUKG699VYef/xx7rvvPi68UITypk2bxpIlSwC48MILefTRR3nppZdYuHAhq1at4pVXXqFv374AXHLJJdx111384Q9/4Pbbb2fMmDH85je/0e19BSpWqxWr1YqiKM2qrEGshEwU6S7uFZKAoNoqBKDhHAcw1BIqB2V/Mb3h2n+/VV87ukhtLSwXkVQuu0xfWzzFpbr4+oD4UF6abhyvVXMANQ3MpmjOt+aMBwzuyea5hR6Xp18ONGoxGoGmY41RoiSStuk2DmBYWBhPP/0027dvZ926ddx2223u5/bt28eVTfozXXPNNSxbtoydO3fyySefMFHzVhq48847+eGHH9i6dSt//vOfCQkJ8dfbMAzagBwTE+POu2xKQA7KG7cJher+fWBg33Oe1rohaCskRkD7QtS6sRiChrZwbMyBunpdTekKq1aB1Qr9+kFmpt7WeEb26Wzyq/OJDI5kxoAZepvjEU37XrflAK5cCQHTHrvGClsaev7OnHTO05ekXYJJMbGzcCfHyo/52bjOERsbi9lspr6+nqoqY4jmS9qm2ziAEv/S1owcGldEVqwQKyUBgdaHtoUBGWDBsAUoKGzP386pylN+NKzzxMbGYjKZqKuro7q6Wm9zPCN9MCTFQ60Nso0r76BNbhYuJCDljlpCm9zMHzKfYHNwO3sHBk0nmy1JkIwcCYMGgd1O4PQh35gD9Q7o17vFyWZ8WDzn9xPtR7UV2UDHZDK5oz2GEaCXtIl0ACUdxuFwUFFRAbTuAI4ZI1ZGamvFzFx3HM7GkOOMlh3A5IhkJvcV4ZolB5b4y7IuYTab3UKthhmUmybFGzQPUFUbc84Mlf93QBi9MG2hzpZ4TnuTTUUJwIjDd5vE75mTW50daP8Do0YcJMZHOoCSDqP14wwLC2tV/zDgBuXcvVBZDTFRkNF6RffCYQ2D8gE5KPuUaQ1h4PVbhDdlMLZvh1OnICICZs/W2xrPOFV5im1ntqGgcPGwi/U2xyOcTqdbeqQ1BxAax5qvvoKzun/6H4fTLf/S2mQTGh3AVUdWUVMXKLHrttFWAKurq7Hb7TpbI+kq0gGUdJj2ZuQaTQdl3b/jtRn5tAlgaV3/SRuUVxxeQW19oMSu20b7P1RVVbXZsSagmJQJwUFwuhAOn9Dbmg6jTWrmzYOztOYDFi3UOLnvZJIjAls4XKOsrAxVVQkNDW1TbH/GDIiKgoICoT6gKzvzoKJKTDbHtC6aPCJxBINiB2F32ll5JBDCJO1jyD7kklaRDqCkQ6iq6u7H2Z4DOGuWWCE5fRq26amsoqqwtsEBbKEiryljUsbQN7ov1nora46u8b1tXiAkJITIyEjAQINyWChMbKicMGAYWNO4NEr1LzSGGrVVbiPQdLLZlmRNcDDMny+2dY84aNW/57c92VQUhUuGCc0sGQaW6IF0ACUdoqqqyi3IenZHlbMJDYUGJR59RaGPnYKT+RBkgSlZbe6qKEpjGFgOyr5lekMe4HpjOYCnTokJjaI0al4GOrX1taw4LCokjCL/0rT7R3uTTQiglBMt/Dt9Ytv70Rhx+PrA14ap4tf+F2VlZYYRoJe0jHQAJR2iNUHW1giIQfn7hs4u40ZDRPs9m93J2Qe+MuSg7NI9CcpDtDzAHXlQXqmvLR1AK/6YPBkCvAWzm1VHVlHrqKVfdD/DdP+orq52t5ps2v2jNS6+GEwmyM2F48d9b1+LnMqHIyfAbGp3sgkwc+BMIoIiOF11mpz8HJ+b5w0iIiIICQnB5XIZR4Be0iLSAZR0iI7MyEGskOjeqkmr/j3fs8bEFwy6gDBLGMcrjrOrcJcPDfMeUVFRBAUFGasrSK8kGDZQZO3/kN3u7oGCkbt/LExbaJjuH5q4eVxcnEeTzcTEAOgKok02M0dAVGS7u4daQpk3ZB5gnIhDU/F/Q0UcJOcgHUCJx9hsNrfW3NndP1ojORmmTBHbugzKNVbYtltsnz+h7X0bCAsK44JBFwDGGpQNGQbWVgHX6Z257xlWa6OskVEcQFVV3VXtmti5EejoZBMCIOKgOYAejjVAYx6gQZUHjBIlkZyLdAAlHqMVf0RHRxMc7LmI7MKGnPMlekjrbdkhun/06w0D+nh8WNMwsFEw5KA8o8EB3NDQpSXAWbMGbDahcTl6tN7WeEZuQS4nK08SHhTO7EHG0Kyx2+3uyWZnHMBVq3ToCmKzw9YdYrsDDqAmybP51GYKqgt8YZnX0VZl7Xa7u0uLxHhIB1DiMZ2ZkYPIzQGxcuJ36Sh3+NfzARkaZ+UbT26k2GqMPrtxcXEoioLNZsNqteptjmeMHAZxMVBdAzl79bamXb75Rvy++GLjdf+YO3guoRZjaNZoY01UVFSHJpsjRsDAgVBXB6tX+8i41sjeBfY6SEmEIf09Piw1KpXxvUV6ipEE6LW8TG1hQGI8pAMo8QhPBVlbIjMTevcW4bPvvvOFda2gqk1CMp7l/2n0i+lHZkomLtXF0oNLfWCc97FYLO5B2TBhYLO58X8T4NXAqtq4ir1ggb62dASjy790BEVp/N/4PeKg3b/nT+jw7MDoEQeJMZEOoMQjysvLcblchISEEBER0aFjmw7K2gqKXzh4FApLICRYVAB3ECO3ajLUrNydBxjYDuCBA3D4MAQFwZw5elvjGYU1hWw+JXTpLkkzhmZN08lmYmJih4/XIg7ffONHAXpV7XCxWVO0sebbQ99idxijw4Y21lRUVFBfX6+zNZLOIB1AiUd4KsjaGrrMyrXVv0mZwgnsINqgvPTgUuqdxhjgtEG5vLzcOIPylCwhm3HslJDRCFC0e3fGDIhsv8AzIFh6cCkqKuN6jyM1KlVvczyioqICl8tFcHBwhyebIFrzBQfD0aOQl+d9+1rk2CnR1SbIAhPHdPjwcb3HkRKRQnVdNd8d82eYpPOEhoa6/z+GmnBK3EgHUNIuHRVkbYl580S0b98+sYriF7owIweYmDqRhLAEKuwVbDy50YuG+Y6m/Zm1VZSAJzICxjT0Z/5Bz5YxbaM5gBcbo40uAN8cFEvuC4YaJ2atORPx8fGdmmxGRIguRODHiIMm/jw+A8LDOny4STG5846NkgcIMgxsdKQDKGkXq9WK3W7HZDJ5JMjaEjExcP75Ytsvg3JltRAYhg4XgGiYTWbmDxX9pbQvUiOgSfQYalZ+XoOTHqB6gDU1sHat2DZK/p/T5eTbQ98CcNHQi3S2xnO6OtkEHSIOP3Qu17gpC4YJo5ceMkbOMTQfawyjPCBxIx1ASbtojkRsbCxmc+u9LdujaW6Oz9m4HZwuGNwfene+XcNFQ8QXp1EKQcCgg7LmAG7ZAXWBF7petUpUlg4cCMOH622NZ2w5vYXS2lJiQ2OZ0neK3uZ4RG1tLbW1tYCoau8smgP43XfQoCbjOzqhNdoScwfPxayYySvO42j5Ue/Y5mOio6Mxm804HA6qqqr0NkfSQaQDKGmXpiGZrqA5gKtWQcMY7zu6GP7V0FYAt+dvJ786cPPTmhITE4PJZKKurs44Gl1pgyAxXmipbd+ttzXnoE1aFiwwjvzLNweE0fMGz8NisuhsjWdoY01MTAwWS+dtTkuDwYOhvr5RuNtnbM5t1Brt3/k8y9jQWKb2E61MjDLhNJlMbkfdUBEHCSAdQEk7OBwOd2uxrjqAo0dDnz7C+dPCaT7B5WrMJevCjBwgOSKZCaniHEYZlA2p0aUoMHWs2A6wMHBT+ReZ/+dbvDXZ9KvyQCe6f7SGFnEwUsqJzAM0LtIBlLRJeXk5qqoSGhpKWFjHk5uboih+CgPvPQRlFRARBlkjunw6I4aBDSkHo63WBlghSF4eHDsGISGiwtQIFNUUsfW0WAU3Sv6fy+VyFy511QGExrFmyRIfysE0lX+Z1nUHUMsDXHl4JXXOui6fzx9oK4BVVVXGUR6QANIBlLRDVyvyzsYvydnagDx5LHQhjKShDcrfHvoWhyvw25VB4xdoRUUFDgO0WANgcpaQgzlyAs4U6m2NG+1enTlTVJgageWHl6OikpmSSe+o3nqb4xGa1mhwcDCRXtDZmTVLOO0nTsCePV23r0UOHIWiUggNgbGjuny6rF5ZpESkUFNfw/rj67tunx+QcjDGRTqAklZRVdVrIRmNOXOEkO7Bg0JY1yd0svtHa0zqM4nY0FjKbGVuUd1AJywsjLCwMFRVNY4cTFQkjE4X298HThi4afs3o6BVkho1/OuNyWZ4eOOKra8mnIqWrjCxc1qjZ2NSTO68YyNFHAypPCCRDqCkdWpra7HZbCiK0mn5l7OJjoZp08S2T8LApeWwp8Gz9JIDaDFZuHDIhYAclH1OgMnBVFU1ti80ivyLS3Xx7WEh/6KtXhsBb082wfd5gIqXJ5vQ6LQbKQ/QkMoDEukASlrHWxV5Z+PTPMAftom8nOFDRFWpl5CDsp84P7DkYFauFJWkQ4bAsGF6W+MZeyv2UmwtJjokmql9p+ptjkfYbDasVivQNfmXs9HGmnXroLLSa6cFwFxTC7v2iz+86ADOGzwPk2JiV+EuTlSc8Np5fUlMTAxms5n6+nqqfa67I/EW0gGUtIovZuTQOCivXg0NY7732Lhd/J46zqunnT9EhGW2nt5KYU3g5Ke1RWxsLCaTCbvd7v5yDXjSBkFCLNTaINdXiVueY0T5lx8KfwCErlyQOUhnazxDG2uio6MJCvKezUOHih+Hw/tyMFH7jqC4XDCoX5e0Rs8mITyBSX0mAbDs0DKvndeXNG0SYKiIQw9HOoCSFnE6nV6TfzmbESOgf3+w24UT6DVcLtiUI7Y1SREv0TuqN1m9sgDc3RUCHUPKwZhMjc67ztXARpV/0RxAI+X/eaP7R2s0rQb2JtF7DomNyVnePTFSDkbiH6QDKGmRrjZkb4umGl3LvDnBPXBUyL+EhUJGuhdPLDByGNhQg7KWB6hzIcju3XDyJISGNvaWDXRKrCXsKt8FGEv+xVeTTWieB+i1TAhVJXpPQ1PzKVleOmkjWu7misMrqHfqnwrhCdr/rrKyUsrBGATpAEpaRFsxSkhI8EpF3tnMFxFV7zqAWvh3QoYoNfYy2hfqsoPLcLqcXj+/LzCsHIzJBIePQ36RbmYsbaj3mTULuiiB6TdWHFmBikpGcgZ9o/vqbY5HVFRU4HQ6CQoK8or8y9nMnCmc+FOnvCgHczKfkJJyVIsFxo320kkbmZA6gcTwRCrtlWw4ucHr5/cFoaGhhIeHAxhHeaCHIx1ASYv4Kv9P44ILwGyG/fvh6FEvnVQL/072bvhXY2rfqUSHRFNSW0L2mcCoUm2PsLAwQkNDUVXVvcoS8MREweg0sa1jNfDy5eK3NlkxAlqVupazagS8Lf9yNmFhMGOG2PbWhFPRxpox6RDu/dmBSTFJ5QGJz5EOoOQcamtr3UUD3pJ/OZuYGJjaUKDolUHZZoechum9D0IyAEHmIOYNngc09lkNdBRFMeagfJ6+eYA2W6P8y7x5upjQYVyqi2WHxYfJqA6gr9Cc+G+9lL6rbM4FQPVB/p+GkVNODKU80IPpNg6g3W7n4YcfZsKECUybNo3XXnut1X3XrFnD5ZdfztixY7n00ktZeVZ52IQJE0hPT2/2U1NT4+u3EDA0lX/xZkXe2Xg1DLx9t5ANSUmEAX28cMKW0cLAclD2MVoe4OZcocPiZ9avF05gaiqMHOn3l+8U289sp7CmkHBzOOf3O19vczzCZrO5x1ZfOoAXisU01q4Vvci7hMMBW3cCvnUAtRXAnPwczlSd8dnreJOYmBhMJhN1dXU96jvTqHQbB/CZZ55h165dvPnmmzz66KO8+OKLLF167tJ5Xl4e9957L1dddRWfffYZ119/Pb/85S/Jy8sDoKCggKqqKlasWMH69evdP1puQ0/AHzNyaByUNa21LqGFZKaM9aleh+YAbj61mRKrMQor4uLiUBQFm81GbZe//fzE8CEQHwPWWsjN8/vLaytF8+YZR/5FCxVOSpxEsLnrXSn8ga/kX85m1Cjo00c49evWdfFku/aj1FhxRIQJ2SIfkRyRzIRU0V/YKHIwhlQe6MF0CwfQarXy4Ycf8sgjjzBq1CjmzZvHHXfcwbvvvnvOvl999RVTpkzhlltuYcCAAdx0001MnjyZbxoEvw4dOkRSUhL9+vUjKSnJ/eOL3JRAxNsN2dti/HiIjxcCrZu72mFNKwDx4YwcoG90XzKSM1BRDSkHY5hqYJOp8X+5abvfX15zALVJihHQnISpycYQfwb8NtYoSuP/sssRh4bJZuXwwSKR2YdIORiJL+kWDmBeXh4Oh4OxYxuT/8ePH09ubi4ul6vZvldccQUPPvjgOeeoqqoC4ODBgwwa5LtZXaCjyb/4qiKvKWZzY35Vlwbl4lI4eEyM8pMyvWJbW2j5VVq7LSOgfcEaqjpvSkMe4MYcv75sQQHkihQv5s7160t3mqbVolOSpuhsjWc07VPtze4freG1PEDNARw5uIsnah9NDmb5oeWGUx6orKw0jvJAD8V7/b10pKioiLi4OIKDG8MeiYmJ2O12ysvLm80uhwwZ0uzYAwcOsGHDBq6//npArADW1tZy8803c+TIEUaMGMHDDz/cplPodDpxOr374dTO5+3ztoc2a4uLizvHefYF8+YpLF5sYulSlUcf7dzrKRu2YwLU9MG4oiKgA9esM9d57qC5PLfhOb499C0Oh8MQq8MxMTEAlJeXU19fj8nk37lfp+7nCaMxA2reIVzFpRAX4xvjzuLbbxXARFaWSkKCqyO3k26sOrwKh8vBkLgh9Anv4/dxozNoDoLFYiEiIsLnNs+eDYpiYtcuhePHnfTpTKpwVQ2mXftRgMqRQ3xu8/he44kJiaHMVsbmk5vdHUICmeDgYEJDQ7HZbJSWlnZJ3NuX34NG+Iz4mm7hANbW1jZz/gD333V1da0eV1payn333ce4ceOYM2cOAIcPH6aiooIHHniAyMhI/vOf/3Dbbbfx9ddft7oitn//fi+9k3PZuXOnz87dElribmVlJTk5OT5/vdTUIGAMW7fCmjU7iY3t+Idy4NLVJAD5A3tzupM2d+Q6RzmjCDGFcLrqNJ+s/4QhUUPaP0hnVFVFURRcLhfbtm3zam/njtDR+3lE3xTCTxZw7KMvKZvofb21lvjggwFAIhkZBeTknPLLa3aV/+78LwDjosWqqb/Hjc5gt9vd27nakquPGTFiOHv2RPDqqye47LKOhyhjt+9liMuFLSWB+vgYv1zncXHjWJ2/mrd+eIvgYcbI7dScqwMHDnDiRNf7GRvhfjYi3cIBDAkJOcfR0/4ODQ1t8Zji4mJ+/OMfo6oqL7zwgntF5NVXX6W+vt7d/eK5555j5syZrF69mksvvbTFc6WlpXm9SMTpdLJz504yMjIw+zjPRKOuro5NmzYBkJWV5dOk7KaMGqWye7dCYeEYZs3qYJWqqmI68HcAki+bT3JWx5yEzl7nmftm8u3hbzkRfIKrsq7q0Gvqxb59+ygsLCQhIcHvaQ6dvc7KzCnw7ucMzC9jQFaW7wxsQFUhO1uMBTfdlERWVpLPX9Mb5PyQA8C1E64FO34dNzpLbm4udXV1DBw4kN69e/vlNRctUtizB/bt609WVr8OH68s2whA0HSxEueP63yN8xpWf7OaXdZdZPnhM+ANiouL2bt3LxaLpUs2+/J70Gq1+nTxxgh0CwcwJSWFsrIydzgBRFg4NDSU6Ojoc/YvKCjglltuAeCtt95qFiIODg5utpoYEhJC3759KSgoaPX1zWazzwYBX577bCoqKgCIjIxs1XH2BfPni7ZbK1aYuOGGDh584AiUlkNoCOaskZ1Oyu7odZ4/dD7fHv6WFUdW8Ovzft2p1/Q3CQkJFBYWUl5erptz0OH7eeo4ePdzTJtyRGGIj8Ptu3fDmTOic8TMmWZf5/h7hSNlRzhQegCzYmbO4Dkc3nvYr+NGZ3A4HFRWVgLivvSXrRddBH/+sxhroBPDxaaGlcopYxuO9/11vmjYRfANbDy1kRpHDdEh536nBRpa2Le2tpa6ujrCuthKxxfXOZA/H/6iWxSBjBgxAovF0ixkmZ2dTUZGxjm5TlarlTvuuAOTycQ777xDSkqK+zlVVZk7dy6ffPJJs/2PHTvG4MG+T/jVG39V5J1NUz3ADsvUaQUC4zMg2D8rltCo0bX26FpsDpvfXrcraIn21dXVbaZGBBRjR0FIMBSVwuGuh5LaQysQmDFDOIFGYPlh0bJkar+phnAOAHdXmrCwsC47Bx1hyhSIioKSEtjWUY3xk2fgVL7wGn3Q/q01BsUNYmj8UBwuB2uOrvHb63YFi8XiXnwxVOFZD6NbOIBhYWEsWrSIxx57jB07drBixQpee+019ypfUVERNpv4kv73v//N8ePHefrpp93PFRUVUVVVhaIozJo1i3/84x9s2rSJAwcO8Nvf/pZevXoxc+ZM3d6fP1BV1a3b5I+KvKZMn96FXp1u/b8sL1vVNqOSRtE7sje1jlq+P/69X1+7swQHB7vzWA0zKIcEw7hRYnuj7+VgtPZvRun+AbjliC4cbBzNGr3GmqAgaEj37rjygDbZHJMOEf5tDq39b40iPQUGVR7oYXQLBxDgoYceYtSoUdx66608/vjj3HfffVzYIPw0bdo0lixZAsCyZcuw2Wxcc801TJs2zf3z5JNPAvCb3/yG+fPn8+tf/5prrrkGh8PByy+/3O2Xi2tqatzVoVrFqL8ICxMN26GDg7LNLjqAgM/1/85GURT3KqCRBmXtC9dQIq1ab2cf6wHa7bBmjdg2iv6fw+Vg5RHRyUi7H42AXtEG6IIcjHb/+ajXeFsYeawpKyszTgeiHka3yAEEsQr49NNPu1f2mrJv3z73dkvdQZoSEhLC7373O373u9953cZARhuQY2Nj/S4RAuILd9ky8fPAAx4elLMH7HWQnACDOp7Q3VUuHHIhb+a+ybeHv+Vpzr3vApH4+HhOnDjhHpSNIGGj5VuRvUv8v0N8Uwn5ww+iTVhKCmRk+OQlvM7W01spt5UTGxorukYY4Hu2trbW3ZHGV73G20Jz7jdsECL0LaSJn4vDCVsaKlGn+N8BnD1oNmbFzIHSAxwpO8KguMDXqo2KisJiseBwOKiqqmoxH1+iL91mBVDSNfQKyWhos/LvvutAr04t/Ds5S5d+XXMHC5XgnPwcCqpbLxIKJAzZq3NIf0iKF85f7l6fvYwR279pK0JzB8/FbDJGlEKbbMbExOgiRzR4MAwdKlr6rlrl4UF7DkB1DURHwgj/yz5Fh0QztZ/o8KLlfAY6JpNJtoULcKQDKMHpdLorgPUIyQCMHNmJXp1NHUAdSI5IZmwvsRqw4vAKXWzoKE0HZcPk5ihK46rLho5m7nuOlv9nlPAvyPy/ztK08MwjtLFm4hift39rDZkHKPE20gGUuNu/BQcHe13P0FMUpYODckkZ7D8itnVyAMGYbeGMmQeYJX5rX8Repri4sSrUKO3fKmwVbDwpdOnmDTFG1Yo/e423RYfzALUCJB3CvxpaHuDKIytxuIzRYk0bayoqKmRbuABEOoCSZgOynjlhHWrWvrlBjyt9sN9ahLVE0+RsoyQ6a1+8FRUVxmmHpDmA+49AsfdXE1auFBJEGRngJ03iLrP66GqcqpO0hDQGxg7U2xyPqKqqwul0YrFYiIqK0s2OWbPAYoHDh+HgwXZ2rq6BXQ155DpONiekTiA2NJZyWzlbT2/VzY6O0FTmR5P+kQQO0gGU+LUhe1vMnStWAnfvhpMn29k5AGbkAOf1O4/woHDyq/PZWWiMdkXh4eEEBwfjcrncof+AJy4GhjfkXm3O8frpm+b/GQUjhn+bjjV6TjajouD888V2uxPOrTvB6YL+qZCa0s7OvsNsMrvzjo0UBjZkxKGHIB3AHk5dXR3V1dWA/g5gQgJMnCi22wzNqGqjIr+OM3KAEEsIswbOAowzKCuKYszcHE3rUdNj8xKqavD8PwPJvwRC/p+Gx2FgnXONmyLzACXeRDqAPRztQxkZGdmsBZ5eeJQHeOg4FJcKOZDMEX6xqy2MOCgbclY+ZZz4vWl7J1rGtM6+fXDiBAQHC1FyI3Co9BCHyg5hMVncE5BAp76+3t3+LRAcQM3ZX7UK2myMo0UbAsAB1HI9N57cSIXNGKv3sbGxKIrSTP5HEhhIB7CHE0gzcmgclFeuBJerlZ20AXn8aJ9pwnUEbQXmu2PfUVtvjAFO+3/X1NRgt9t1tsZDxgyHsFAoKYcDR712Wm31b/p00KkGqsNoUiDn9TuPqBD9cuk6gl7t31pj7FhISoLqaqEJ2CKn8uHEGTCbYMIYv9rXEgNjB5KWkIZTdbLqiKcaNvoi28IFLtIB7MGoqhoQFXlNmTy5sVfn9tYaP2g5YJOy/GRV2wxPHE7f6L7YnXbWHfdUw0ZfgoOD3Un4hhmUg4OE0w9ebQsn8//8Q6CNNSZTY8X38tak9bTw7+h0iAyM2YERIw7a/9xQEYcegHQAezBWq5W6ujpMJlPAqLQHBYkKPWhlULbXiY4QoHsBiIaiKIYclJu2ajIM2v/cSw5gXZ1s/+YvAi3aAI1Of6sOoJZvGiBjDTRRHjCg9FRZWRmuVkM7En8jHcAejDYgx8TEBFSv4zYH5R17hROYGC86RAQIRuzV2XRWbhQJG/cXcc4e0Qu6i2zcKEKASUmQmdnl0/mFzac2U2mvJD4snnG9x+ltjkfU1tZis9lQFEWX9m+toY01W7fCOfMgpxO2NBSbaQVIAcCsgbOwmCwcLjvModJDepvjEVpbOKfTSVVVld7mSBqQDmAPJtBCMhraoLx+PVitZz2pzcgnZwZUv645g+egoLCzcCdnqs7obY5HREdHYzKZqK+vN05buAF9oFcS1NXD9t1dPp02yZg7V4QEjYAR279pk83o6Ghd2r+1Rt++MHy4yDdevfqsJ/cehKoaiIyAEcN0sa8lokKiOK/feYBxJpyKohgz4tDNMciQJ/E2LpfLnZQdSCEZgPR0MTDX1bXQFi5A9P/OJjE8kfGp4wFj9eo0XDVw07ZwXggDy/w//xCok01oI+KgTTYnjgFLYDna7pQTA4WBZR5g4CEdwB5K0/ZvERERepvTDEVpZVAuq4B9h8X2pMCL18k8QD+hheM2dM0BLC0VoT8wjgNYbitn06lNgDHbvwXaZBPacAA3BeZkExpTTlYdWUW9s15nazxD+99XVlZSX28Mm7s70gHsoQSKIn9raIPyihVNHtQq8tIGQULgfZHMHypEDJcfXo5LNUaiszYrLy8vN05buIkN4f/Dx6GopNOnWbVKhP5GjBArzkZg1ZFVuFQXwxOH0z8mcHJg2yJQ2r+1xsyZYDbDoUNwpKG9ODVW2KF/+7fWGNd7HAlhCVTaK9l8arPe5nhEaGiou9e8bAsXGEgHsIcSiBV5TZkzR/zOzYWCgoYHA0iRvyWm9J1CZHAkhTWF5Obn6m2OR4SFhRESEoKqqsYZlGOiYGRDTpZ2T3QCQ3f/MFD4t+lYE4iTzehomDJFbLtXAbN3iSKQvr3ET4DRtC3cskOeNE8PDAyXctLNkQ5gDySQ2r+1RnIyZGWJ7ZUraWj/liMeCFAHMNgc7O7KYJQ8QMO2hdPugU62hVNV4+X/qarq/rI3kvxLIOf/aZwTBg7QXOOmzBssjDbKWAMGTTnpxkgHsAeiffgiIiIICQnR2ZrWaTYoHzkBhSWi80fWSF3tagttZUYOyj5GywPcnNNGy5jWOXQIjh4VupMzZ3rTMN9xqOwQR8uPEmQKYuZAYxgdaO3fWkMba1auFAt/jWoDWTpZ1D5aDujmU5spt5Xra4yHaG3hbDabbAsXAEgHsAdihBk5NHcAVW1AHjsKQgPYaW0YlNcdWyfbwvmSjHTRFq60olNt4bTVv/POg8hI75rmK7Tw7/n9zycy2BhGa2kF4eHhhIaG6mtMG0yaJELBZWWwa3khHD/V0P4tQ2/TWqV/TH/SE9JxqS7ZFk7SKaQD2MNo2v4tkGfkANOmQUgInDoFNStzxIMBPCMHSE9Ip190P0O1hQsKCjJeW7igoMYv507kARo5/08L/RmBQM811rBYYPZssX3y4xyxMSoNogLb0dZSAZYfMl7EQeYB6o90AHsYVqsVu92OoijExMTobU6bhIXB9OkQrNQTsnuneDCAFPlbQlEU9xe0lIPxMe48wI7JwTgcogIYjJP/53A5WH1UKBUbyQE0ymQTGu+FiJ0N91OATzah8V4wkh6gdi+Ul5cbpwNRN0U6gD0MbUCOjY0NqPZvrTFvHkyNyCPIYYeEWBg6UG+T2sU9KzdgHmBPaAu3eTNUVkJ8PIwzRic1d/u3uNA42f7NR8ybByacZNh2iAcCuABEw6ht4cxmMw6HQ7aF0xnpAPYwjBKS0Zg3Dy6MFjNy18SsgGr/1hpaW7gdBTsM0xYuJibGmG3hUhJFW7icPR4fpuX/zZkj9N+MgBbimzN4jmHav2mTzUBr/9Yaw4bBxYMPk2Cpoj4kXISAA5yokCim9p0KGGfC2bQDkaEiDt0Q6QD2IJq2fwv0AhCNzExYEJ8DwIH4wJ+Rg2gLp63SrDi8op29AwOTyeRepTFMbo6idCoMbMT8P+3L3UjhX6NNNhUFbh8h7qO8yMBr/9YaRo84SPRDOoA9iMrKSlwuF0FBQQHX/q01TJWVZIaI0Mbn+YHX/q01jKjRZUg9QC1M52EhSEUFbBKd1AyT/1dpr2TjyY2AcRzApsLiRnEAAc4PygHgs/wsXe3oCNo9sfLwShwuh87WeEbTtnCG6UDUDZEOYA9Cm23Fx8cHpCJ/i2zOxYTKDusAPl1njFVLaD4rN0pOnTYoV1RUGGdQntTQFu7AUShu33FdvVrovKWlwYABvjfPG6w5ugan6mRI3BAGxQ3S2xyPqKqqwuFwYDabA7L9W4tYa0k6kwfAm/uyOGOM7A0mpE4gNjSWCnsFW05t0dscjwgLCyM0NNRYHYi6IdIB7EEYqSLPTcPKzreVY9m8GYwyVpzX7zzCg8LJr85nV+Euvc3xiPDwcIKDg3G5XFRUVOhtjmfERsPwIWJ7c067uxut+wc05v8ZZfUPmo81JpNBvma27UJxODippnDI3lt0IDIATdvCGSXioCiKzAMMAAzyyZR0lfr6enfFlWEcQFV153blxWThcokVHCMQYglh5gDRrcEocjDGbQvXkBrgQVs4Q+f/DTGOA2i0/D/Aff+c7DsWUBrbwhkAKT0l6QzSAewhaB+y8PDwgG7/1oxjp6CgGIKDiJ45CsCQg7JRZuVg0OTspnmAbYTbjxyBgwdF5e+sWX6xrMucqDjBvpJ9mBQTFwy6QG9zPMLhcBii/ds5NEw2w2dnAQ0diIyRveEeazae3EilvVJnazzDkB2IuhnSAewhGKX9WzO0FZ2skcycL5xWIzmAWh7g2mNrsTlsOlvjGU0H5bq6Op2t8ZAxI0R7wJIyOHSs1d20e2fqVNH2ywhoVeQTUycSGxqrrzEeUlFRgaqqhISEEBYWprc5npFfBEdPgslE2o1jCA2FM2dgj+fqQroyKG4QQ+OH4lSdrD5ijDBJUFAQkQ19GOUqoD50GwfQbrfz8MMPM2HCBKZNm8Zrr73W6r579uzhmmuuITMzk6uuuopdu5rnaH311VfMnTuXzMxM7rnnHmOthrSAkdq/NWNToyL/rFli5ebgQTh6VE+jPGdk0khSo1KxOWx8f/x7vc3xiODgYOMNysFBMG602G5DDsaQ+X8GlH9pOtk0TLGZVkU+ahihyZHMmCH+NNSEc7Dx5GAMmXLSjeg2DuAzzzzDrl27ePPNN3n00Ud58cUXWbp06Tn7Wa1W7rzzTiZMmMAnn3zC2LFjueuuu7BarQDs2LGDRx55hHvvvZfFixdTWVnJQw895O+341WMpsgPQH09ZDc45lPGEhMDkyeLP40yKBu9LZyhJj5ai8BW5GCcTtxJ/UbJ/3OpLvcKoMz/8zFatKFBV1KbJBhlrIHGe8SIY01ZWZlh1BK6E93CAbRarXz44Yc88sgjjBo1innz5nHHHXfw7rvvnrPvkiVLCAkJ4be//S1DhgzhkUceISIiwu0svvPOOyxYsIBFixYxfPhwnnnmGdauXcuJEyf8/ba8RlNFfiO0fwNg5z6w1kJcDAwbCDQOyiuMoa0MGDMPsOms3DCD8uSGPMBtu8F+buh661ZRQR4TAxMm+Ne0zrKjYAdF1iIigiKY0neK3uZ4hN1ud0+mDeMAulyNFeQN+aTaWLN2LRglE2L2wNmYFTMHSg9wtPyo3uZ4hNaBqK6uzjgdiLoR3cIBzMvLw+FwMHZsY6eI8ePHk5ubi8vlarZvbm4u48ePd4cmFEVh3Lhx5OTkuJ+f0OQbonfv3qSmppKbm+v7N+IjDJ3/NzkLGmQktEF55UoxZhsBTZ5he/52CmsKdbbGM6Kjo92DsvZlHvAM7gdJ8cL5a6EtnLaSM2cOGKArGdAo/zJr4CyCzcE6W+MZ2lgTGRlJUFCQztZ4yL7DUFEFEWEwWrR/y8iA5GSoqYENG3S2z0NiQmOY3FeESbR7J9AxmUzExMQAMgysBwYZCtumqKiIuLg4goMbB8nExETsdjvl5eXNHJ+ioiKGDh3a7PiEhAQOHDgAQGFhIcnJyec8n5+f3+rrO51Orwvnaufr6nmb5v/FxMQYRuDXtGk7CuCaOAa1webx4yEqykRJicLWrU7Gj+/663jrOrdGYlgimSmZ5Bbksvzgcq4ffb1PXsfbxMTEUFZWRklJCaGhoV0+n6+vM4AyKRPT16txbdyOOiGj2XPLlpkAhTlzXDidxljV1EJ5cwbN8fi6+eM6t4UW/o2NjTXMWKP8sA0ToI4bjUtRRL4AMGeOwnvvmVi2zMW0ac3vGb2vc2vMHTSXH078wLeHvuX2rNv1NscjYmNjKSsro7S0lNTU1GbP+fI6B9r/Tg+6hQNYW1vbzPkD3H+fXcnY2r7afjabrc3nW2L//v2dtr09du7c2aXjmzqnBw8eNERStrmmlsw9wiHfFWGhvmF1FmDs2CF8910sb799BrO5wGuv2dXr3BZjIsaQSy6Lty5muGO4z17Hm2j3+7FjxygqKvLaeX15neN6xTEYsK3ZwN5pY9yP19SY2LAhC4A+fXaTkxP4MT270866Y+sA6Gvv645QeIovr3NrqKrqDuOVlJQYRkx82Kr1RAMn+iRS1OQ6p6UlAAP54otarroqr8Vj9bjObTHAIdrbfHvwW7K3Z2NWAj/lR/t+KisrY/v27S1+RwXade4udAsHMCQk5BwHTfv77NWL1vbV9mvt+bbkDNLS0ggPD++0/S3hdDrZuXMnGRkZXcrbO378OMeOHSMhIYGRI0d60UIfsvIHFBXUwf0YNXtGs6euukrhu+9g9+4+ZGX17vJLees6t8WN0Tfy9uG32VaxjczMTEM44TU1NWzbtg1VVRkzZkyXuzn44zrTfyC8+gnhJ/LJ6j8Q4mMB+PJLcDoVBg9WWbjQGJ+BFYdXYHfZSY1K5YppV3h8z/jlOreCds+YTCbGjRtnjA4gtTZMh04C0OeqS+jTv4/7qaQkePxx2Ls3nAEDsmia0qjndW6L0a7R3J99P5X2SlwpLsaneiFM4mNUVWXTpk3U19czaNCgZoWKvrzOVqvVp4s3RqBbOIApKSmUlZXhcDiwNCT4FBUVERoaSvRZgl8pKSkUFxc3e6y4uNgd9m3t+aSkpFZf32w2+2wQ6Oq5tT6LCQkJATVQtckWkW+pTB57js3z54vf33+vYLeb8Zbf7cv/4cyBMwm1hHKq6hT7y/YzMinwnZCoqCj3ynd1dbXXEvp9eZ1JSoC0QbD/CObsXXCR6MSyapV4+sILFcN8BlYdFUbPHTzXPaZ1BJ9e51bQVvxiYmKMk/+XmwcOB/ROxjywn+gr3UD//jBiBOzdq7B2rZmrrjr3cD2uc1uYzWYuGHQBn+V9xsojK5nSzxjFQ3FxcRQWFlJRUUFCQsI5z/viOgfS/00vDDBFa58RI0ZgsViahUmys7PJyMg4ZxaamZnJ9u3b3dWNqqqybZtYmdGez87Odu9/5swZzpw5437eSBhSkV9VGwtApow95+m0NOjXT1TmrVvnX9M6S1hQGNP7TweMk5xt2F6dTbuCNCD1//yDMYvNGnQjp2Q1c/40jCgHI/UAJZ7SLRzAsLAwFi1axGOPPcaOHTtYsWIFr732GrfccgsgVgNtNtGJ4aKLLqKyspInn3ySgwcP8uSTT1JbW8uCBQsAuOGGG/j888/58MMPycvL47e//S2zZs2iX79+ur2/zlJeXo6qqoSGhhpHkf/EGThTCEEWGDfqnKcVxaCDckNXkG8PG0+jy1B6gA06bmzcDqrK8eOwb58oJL/AGJ3UKKopYnu+cEy0KvJAx+VyuaMNhplsQjOx+ZYw4lij6QH+cOIHquuqdbbGM7R7pqqqivr6ep2t6Tl0CwcQ4KGHHmLUqFHceuutPP7449x3331c2KD4Om3aNJYsWQIIeYJ///vfZGdnc+WVV5Kbm8vLL7/szuEbO3Ysf/zjH/nnP//JDTfcQExMDE899ZRu76srGLL7hzYjzxwBYS1XnxpyUG5YyVlzdA12hzH6Xmr3TXV1tXHawmWNhJBgKCqFwyfc98ikSWAUDfSVR4RidUZyBr0ie+lsjWdUVFTgcrkICgoiIiJCb3M8o7AEDp8Qs8qJLUd4Zs4UskGHD4sfIzAkbgiDYgdR76pn7dG1epvjESEhIe7vYG0iIfE93SIHEMQq4NNPP83TTz99znP79u1r9veYMWP49NNPWz3XlVdeyZVXXul1G/2NsUMy54Z/NebMEb937ICCAkhJ8YNdXSQjJYOUiBQKagrYcHIDswbO0tukdgkJCSEiIoKamhrKy8vPkUcKSEKCYewocR9t2s7y5f0B43T/gMY0ASOGf+Pi4gxR5AQ0pgmMHAYxUS3uEhUlekevWycmnHfd5T/zOovWgejlbS/z7aFvuSTtEr1N8oi4uDisViulpaVt5txLvEe3WQGUNMdms7lFfA3T/s3hgOyGcv9WQjIgqvM0zW+jdAUxKSZ3OM8oeYBg0DBwQ1s4dWOO+/4wSv6fqqqN+X8Gav9m6MlmG2MNGDPioKWcGCkP0JA5xwZHOoDdFO1DFBUVZZyKvF37oaZWzMbTB7e5q5EHZSPlARqzLVwWAK6tu6gqrScqqrGPdKCzv2Q/JypPEGwOZsaAGe0fEADU19dTVVUFGCjdxOWCzQ3dnbQ+0q2gjTWrVrk1ogOeCwZdgEkxsbd4LycrT+ptjkfExsaiKAo2m43a2lq9zekRSAewm2LI/D8tJNOk/VtrNHUAjeKXaCuA2aezKbGW6GyNZ8TExKAoSrMerwHP0IGQEIu5zs55EXuZPRuMMgfSVmzO73c+4UHe1Rb1FdpYEx4eTkhIiM7WeMj+I1BWIfKMM9Lb3HXCBNFDuqwMtm3zk31dJC4sjompEwHjRBwsFotbtk2uAvoH6QB2Q5q2f+uOIRmAadMgNBROn4a9e31rlrdIjUpldPJoVFR3on+gYzab3SkEhhmUFQUmixyBedE5xsr/M7D8i6Emm5rU1ISMdmcHFktjBbmRIg7aPWSkiIMhU04MjHQAuyE1NTXU19djMpnOEcIOWCqrYbdo/+aJAxgaCtOFtJ4hB2WjzMrBmLk59qwsAC6MzjFM/p/D5WD1kdWAzP/zOZtzxO/JrRebNWVugxqPkcYaLeVkxeEVuFSXztZ4hjbWaBJmEt8iHcBuSNOG7IZoxwSwdYfIyxnUD3p5VgFm9DxAowxwTQdll8sYXyTfO4Ssx7jwQwxLqtTZGs/YfGozVXVVxIfFM7aXZ46J3tTW1mKz2VAUhZiYGL3N8QybHbbvFtvt5P9paGPN999DQ7vjgGdK3ylEBkdSbC0mJz9Hb3M8IioqCrPZjMPhcOeVSnyHQbwDSUcwdEjGg9U/DW1QXrNGdAYxAjMGzCDYHMzxiuMcKD2gtzkeERkZSVBQEE6n091ZJtD5ckM8O6wDMCkqSkNrwUBHWxWeM2gOZpMx2lRpk83o6OhOtazThW27oN4BKYkwoE/7+wNDh8KAAVBfD99952P7vESQOYjZA2cD8O0hY4SBTSaTISMORkU6gN0Mp9Pp7slpqJCMpsjv4YwcYMwYIQlTUwMbN/rGLG8THhTOtP7TAOMMykZsC7d8OXxb2bCKpuWWBjgy/89PaMVmU8a22P6tJYzegciIcjAyD9D3SAewm1FZWYnL5SI4ONitrB7wnDwDpwpEtvW40R4fZjI1DsrfGsOXAprkAcpB2SecOgW7d8OKqizxwKacgC8Vr7RXsvGkmMUYJf9PVVV31wZDTTY7EW0AYzqA2liz/vh6rPXGqOLXxprKykqcRtHdMSjSAexmaF/QhlLk11ZoxgyH8I71LNYqPI3kAGqz8tVHVlPvNEbfS+0L3gi9OjXx55q0URAcBAXFcOyUvka1w5qja3CqTobGD2Vg7EC9zfGIqqoqHA4HFouFqKiWO2kEHMWlcOiYWNKb1HL7t9aYM0cctmsXnDnjI/u8TFpCGv1j+lPnrOO7Y8aIXYeFhRESEoKqqu5olsQ3SAewm2HskExWhw/VZuVbt4IBFqcAyOqVRWJ4IlV1VWw6tUlvczyiaa/OQA8Da5OBGReGiN7AEPBhYCO2f2tabGacyWaO+D1iCMR2TCEhIUFoAgKsWGGM96u1hQNjpZxoE07ZF9i3SAewG1FXV0d1dTVgIAfQ4YTNO8S2h5IMTUlNhdGjRYRvpTGk9Zq1hTPKoAzNu4IEKi5X4wrghRfSGObTJhkBisz/8xObPNcabQkt4mCkMLCR8wADeazpDkgHsBuhzZYiIiKMo8i/ez/UWEX7t+Ftt39rDSOGgY2eBxioEjY7dkBhIUREwNSpiER/gK07RQlnAHKi4gT7SvZhUkzMHjRbb3M8wuFwuCvCDZP/17T9Wycmm9A41qxYoWAQRSTmDJqDgsKuwl2crjqttzkeoY01VqvVMNJTRkQ6gN2Ipvl/hkFbmZmUCebOSV80dQAD1C85B80B3HxqM2W1xpjlaqE+u90esL06tUnAzJkQHAwMGwhxMVBrg5379DStVbRJwMTUicSGxuprjIdUVFSgqiqhoaGEhXUsb1c3Dh6DknLR/m3M8E6dYsoUiIyEwkKFAweM8b4TwhMYnzoeEKLQRiAoKIjIyEgAWQjiQ6QD2E1o2v7NUA5gB9q/tcb06RASAsePw/793jHL1/SL6cfwxOG4VBerjqzS2xyPMJvNbrHfQA3NaA7g/PkND5hMjfeWlv8VYBgx/GvIyaY21owbLYqDOkFwMMxuWKTduNEgXZbAcHmA0Liy7HA4dLak+yIdwG5CbW0tdrsdRVHcvVsDnqpqEQKGLjmA4eGNbeGMFAa+cLBxc3MCUQ7GaoV168R2s/6/AZwH6FJd7lUZo8i/gFHz/3LE704UmzVFu7c2bTKOA2jktnBOpzNgU06MjnQAuwnagBwTE4O5k6FUv7N1JzhdQo2/d3KXTmXIPMAhxpuVB3JbuO++Ex1h+vWD9PQmT2gO4J4DUBFY7aVy83MpthYTERTBlL5T9DbHI+x2O1ar0JQzjAPYtP1bFyab0DjWbN8eidUY0npM7TuV8KBwCmoK2FmwU29zPCImJgaTyYSqqu77TeJdpAPYTTB0SGZK5xKym6LJwaxebZy2cLMGziLIFMSR8iMcKj2ktzkeERUVhcViwel0Blyvzqbh32aqJMkJMLifSBANsLZw2urvrIGzCDYH62yNZ2iTzaioKIKCOhdK9Tvbd0NdvWj/Nqhfl041bBgMGKBSX28yTFu4EEsIswbOAowTcTCZTO6UE6O0oDQa0gHsBrhcLncFsGEcQFVtdACndt0BHDMGkpNFW7gNG7p8Or8QGRzJ1H5TAeOsAjZtCxdoYWDNAWwW/tXQqj4DLAxsxPw/Q4Z/m+Yad1GzULSFEyHJ5cuNoQcIxswD7NOnDyaTyThC4wZDOoDdgKqqKpxOp7EU+TvZ/q01mraFM5RGlwHzAANRD1Br/6YoomPDOWirzBtzAqZUvLa+lnXHRNKiUfL/jFtsliN+Tx3nldNpDqBRBKGhMQ9w3fF11NYHZhX/2cTFxREREeGuCJZ4F+kAdgOaDsiGU+TPHNHh9m+tYeQ8wJVHVuJwGaParWmvzkBpC6c5/RMnQouydONGQZAFzhTCicDo47X++HrsTjupUamMSByhtzkeUVNTQ11dXbPwXMBTWNLY/m3iGK+ccvZsMJlUdu9WOBXYXQbdjEgcQWpUKjaHjfXH1+ttjiQAkA5gN8DY+X9ZXjtl07ZwJSVeO61PGd97PHGhcVTaK9lyaove5nhEU+23QGnV1Gb4F4T2W2aDkxUgbeGahn+NMnHTJpuxsbGYTAb5+tDC/iOGdrj9W2vEx8PIkTWAcSIOiqIYsiuIxHcY5BMsaY2mivyGcQAdDtja0P7NCwUgGr17Q0aGsdrCmU1m5gwWMUsj5eYEUhjY5Wr8Em7VAYQmeoCB4QAuO7QMgPlD5rezZ+Bg6MmmF3KNmzJlihh3DRVxMGAeoMR3SAfQ4GgrMGFhYcZR5N+5D2pqxWw8vXPt31rDiGFgI+YBBlIhSE4OFBeLDg1T2lJS0SYb2TvFJERHzlSdYUfBDhQUd1/oQMfpdLrHG0O1f3Pr//nGAVy+HMO0hdPutdyCXAqqC3S2RqI30gE0OIaekU/OEtUbXsSQbeEa8gA3ntxIha1CZ2s8Q2sLZ7PZdG8Lt0wspHHBBdCmKkn6YNFzuqYWdunbMkZbgRnXexxJEUm62uIpWvu3kJAQwsPD9TbHM/YdhvJKiAiDjPT29+8Ao0fXEBWlUlwsJiFGIDkimaxeWYBx2sJJfId0AA2O5gAaZkYOjQUgXp6RQ2NbuBMnYF9gtn49h4GxAxkWPwyn6mTN0TV6m+MRFouF6GiRT6V3GLjd/D8NkwkmZYltneVgvj0sjDZq+NcoOYvuyeaEMUJxwItYLI1t4YwYcdDuQUnPRTqABsZqtWKz2YzV/q2iSnRkgC4r8rdEWJhB28I1JGcbKTcnEMLA1dXw/fdiu10HEBqLjnTMA3SpLvf/ef5Q4zmAcrLZiCYHY6SxRos4LD+0XLZY6+FIB9DAaCsv0dHRWLw8u/UZm3NFbHZwf9GhwQcYMQ9QS842Uh6g5giUl5fr9kWydi3U18OgQTB0qAcHaJOO3QdEL2od2H5mO8XWYiEE3neqLjZ0FJvNZrz2b9ZayN0rtr2oNtAUzQFcv16I0BuBaf2nEWoJ5Uz1GXYX7dbbHImOSAfQwBhzRu6birymaA7gmjXGaQs3e9BszIqZA6UHOFp+VG9zPEJrC+dwOHRrC9c0/OtRVLJXEgzsK7L2t+zwqW2toVX/XjDoAoLMxmil1nSyaZj2b9m7RLFPn17QL9UnLzFkCAwcKCYha9f65CW8TqgllJkDZgJiFVDSc5EOoEFp2v7NMA5g0/ZvPgrJgJCCSUkxVlu46JBopvQVJaxGGZSbph7oFQb2OP+vKW45mBwvW+MZ7vCvQfP/DIMPtEbPRlGMHXGQeYA9m27hAKqqynPPPceUKVOYNGkSzzzzDK426vJzcnK4/vrrGTt2LPPnz+fDDz9s9vxll11Genp6s5/9+/WtGjybiooKnE4nQUFBxmmTc+wUFBRDcBCMHeWzl2naFs5Ig7I7D9BAg7KeeoDHj0Nenvh/X3BBBw7UJh86FIJU2av4/oRIWjSKA9i0/ZthJpvgl8kmGNMB1MaatUfXYnfYdbZGohfdwgF8/fXX+eqrr3jxxRd54YUX+PLLL3n99ddb3LeoqIif/vSnTJo0iU8//ZRf/OIXPPHEE6xZswYQWldHjx7lnXfeYf369e6fwYO9q1fXVQzZ/m3DNvE7aySEhvj0pYw4KGuz8pWHV+J0OXW2xjOatoVz+FlbTxN/njwZOlQDNW4UmM1wKl/0pPYjq4+uxuFyMCRuCEPih/j1tTtLVVUVDocDs9lsnF7jZwrFhNNs8lr7t9a44AIxCdm7V6gPGIHRyaPpFdmLWkete0Ii6Xl0Cwfwrbfe4he/+AUTJkxgypQpPPjgg7z77rst7rtixQoSExN54IEHGDhwIJdccgmLFi3iyy+/BODkyZPU19czZswYkpKS3D+BVmRhzPy/HPHbxzNygLkN2rrZ2UIk2AhM7DORmJAYymxlZJ/J1tscjwgLCyM0NBRVVf3eFq5T4V+AiHDIHC62/RwGXnZQ5P9pKzBGoGn41zDt37TVv9HpEBnh05eKi4NJk8S2kdrCuQvPDJJyIvE+Bvk0t05BQQFnzpxh4sSJ7sfGjx/PqVOnKCwsPGf/6dOn89RTT53zeHW1qAg8ePAgvXv3JiTEtytUXaGurs5tr2EcwLp60YEBfFoAotG7N4wZY6y2cBaThQsGiVimkQZlPcLATiesaNCx7bADCDBZCwP7Vw7GyPp/hhlrwG/hXw0jRxyMlHIi8S6BtazVCYqKigBITk52P5aYmAhAfn5+s8cB+vbtS9++fd1/l5SU8PXXX3PfffcBcOjQIYKCgrjrrrvYtWsXgwYN4re//S1jxrQeRnA6nTid3g3Zaedr6bwlJSUAREREYDabvf7aPmH7bsw2O2p8LK5B/cQ3uI+ZO1dhxw4Ty5a5uPrqlmVK2rrOejB30Fw+zfuUZYeW8bvzf6e3OR4RExPD6dOnKS0tbfU6evs6b9kCpaVmoqNVxo93dfx2mpiB+SVQt+zAZa8Di9krdrXF4bLDHCw9iMVkYUb/GT6557x9nZv2Go+JiQmYz0mbOJyYNueiAM5JmT4Za86+znPmwB//aGb5cpW6Ohdm399OXWb2AKFivf3MdvIr8wOyI40vx2dD3Ms+xhAOoM1mo6Cg5b6FmjZVcHCw+zFtu64dDRCbzcZ9991HYmIi1113HQBHjhyhoqKCa665hl/84hd88MEH3HrrrSxZsoTevXu3eB5fFojs3LnznMe01lv19fXkGKQHUeqXK+gNlKb152hurl9ec/DgKCCNJUscbN++s02ZkJausx70sfUBYMOJDXy/9XsiLL4NX3kDTQOwtraWbdu2tRkm9NZ1fvPNXkAfxo8vZ9euwx0/gctFZngolmorBz5fQs2Qfl6xqy0+OvoRAGNix3B4byds7gDeus719fUAmEwm8vLyvHJOXxNx+CTDq2pwhIeSW1ft0z5t2nUOCYGIiCxKS80sXryfkSOtPntNbzI0aigHqw7y2prXmN8ncFelA2V87m4YwgHMzc3llltuafG53/zmN4Bw9rSwreb4hYWFtXrOmpoafv7zn3P06FH++9//uvd94oknsNls7sraxx57jG3btvH555/zs5/9rMVzpaWleb03ptPpZOfOnWRkZGBuMp1UVZVNmzYBkJ6ebpgOIKa/vg1A3EWzic3K8strpqfDr3+tUlAQTGhoFiNGnLtPa9dZL7LIYvD2wRwuP0xZTBnnDztfb5M8Iicnh6qqKlJTU+nVq9c5z3v7Ou/aJZzMq6+OIauT95NpylhYtYG0MiuqH+7JP+7/IwCLxizqtM3t4e3rfODAAfLz8+nVqxdDhhijaEXZKnpAmqeMJWvcOJ+8RkvXee5cE59/DseOpXPjjcbosHFp8aU8v/F5DroO8j9Z/6O3Oefgy/HZarUGnLqHvzGEAzh58mT2tdLYtaCggGeffZaioiJ3aFcLCycltbykXV1dzR133MHx48d58803GThwoPs5i8XSTFZFURQGDx7c6gokgNls9pnzcPa5q6qqqK+vx2QyGScpu7RcNGUHTFPH4a/4SGQkzJghErNXrjQzenTr+/ryf9hR5g2Zx7+z/82qI6u4fPjlepvjEfHx8VRVVVFeXk6fPn1a3c8b17myEjZuFNsXXWTq/O00dRys2oBpcy7cdWOXbGqPemc9q4+uBmDBsAU+v9e8cZ2bFvYkJCQEzOejXTaLCINy3ni/Xuf58+Hzz2HFChO//71PX9ZrzB8yn+c3Ps/yI8sxmUwBqyjhi/HZMPezDzGA99A2KSkppKamkp3dWDWZnZ1NamrqOfl/IASU7733Xk6ePMnbb7/NsGHDmj1/88038+KLLzbbf9++fQEjA2PIiryGAZm0QZDgXyFZLTl72TK/vmyXMLoeoK/bwq1aJRo8DB0KXfpYaoLQu/ZBtW/7eG08uZGquioSwxMZ19s3q1Lepra21ni9xqtrxP8TfNJrvC20seb770GnxjgdZvqA6YSYQzhZeZJ9JS0vski6LwbxINrmhhtu4LnnnmPTpk1s2rSJv/zlL81CxqX/v737Do+qSh84/p2ZdFKAJCQkgVBDJwFCU7pEiiCiwNpF0LWxumtHdtW1/LCguyo2FHRVRBQUpShSBaRIDUhPQgmkkBDS+8z9/XFyJwkkMCEzuXMn5/M8eeYyk0zeDJOT97T3ZGVRUHFQ45IlS9ixYwevvPIK/v7+ZGRkkJGRYe3pjhgxgs8//5x169aRlJTESy+9RF5eHhMnTtTiR7tE1fp/uqHW/2vgBhlg9Ghxu2EDVCyddHoj2o7AaDByJPMIyTn6KCzm5+eHyWRqkGPhfv5Z3I4ZU88nCguB1mFgtsAux64xUo9/i2sXh9Ggj2ZX7WwGBAToZ7Rk537x/xkZDi0vHQBwpPbtxUd5ueik6IGPuw+DWg8CKk+okRoPfbREVzB9+nTGjh3LjBkzeOyxx5gwYQJTp061Pj5p0iQWLFgAwOrVq7FYLDzwwAMMGjTI+qHuAp46dSr33Xcfr7zyChMmTCAhIYHPPvvMKU7bKC8vJycnB9BRSQaLpTIBvLZPg3/7bt0gIgKKi/VzVmdTr6b0CxeFxdYk6aMcjNFotI4SObIcjKJUJoBqcl8vaqfEwaeCqAmgnsq/6PL0j20NW/7lYmqnRH2P6oE646CXtkayH12sAbwSk8nEzJkzmTlzZo2Pr6/SHZs/f/5ln8tgMPDggw/WuuFDS9nZ2SiKgpeX12U3uDiVo0mQlQM+3hBdwy4MBzMYRKP8ySeiUbZL0tAA4trFsf3MdtYkrWFar2lah2OT5s2bc/78eS5cuEBkZKRDvod62oKnJwwbZocn7B8D362qrBvnAJmFmexOEUtU4trHOez72JPFYtHfbIOiwNaKpUADtZlmHz0a5s4VbY2icNnKA84irl0cz/AMG05soNRciofJ48pfJLkElxgBbCyq9siddbHuJX6vaJD79gR3d01CUHvlv/yiybe/KmqvfG3SWixK7edaOxM1UcjJyXHYsXDqyMqwYWCXjfexPcVxYcmp4mg4B1ibtBYFhR4tehDmF+aQ72FvOTk5WCwWfZ01fiIZ0jLEWeOxPTQJYfhw0TlRz6nWg+jQaIJ9gikoK2D7me1ahyM1IJkA6kjVDSC6ofbIr2n46V/VddeBmxscOwZJji2/Zjf9w/vj5+FXbfTI2TXEsXB2nf4F8PURx4WBw6aB9T79q5vOptrW9Onu8LPGa+PjA0OHimu9TAMbDUZGthNnZ6pHFUqNg0wAdaKoqIiioiIMBoN+EsCcPPizos6SBuv/VP7+cG1FOT29NMruJndro/xzgj6CNhgM1vViamfFnvLzYfNmcV3vDSBVqevFHJAAKorCLwli6HlUB/0kgOppQ7ppawC2Vqw11rCzCfpcB6h2Tn5J1NE0iVRvMgHUCfUPqr+/P25uOlm6uWOf2ATSrhWEanvMkB4b5bEdxwL6SQCBagmgvcvBbNgApaXQpg1ERdnxiQfEiNsd8VBu3+Oh9qXtIy0/jSbuTRjcerBdn9tRSkpKrFUTdLMBpLAI9hwU1xongOro9KZNotOiB6M7iKD3pO4hLd8xSyEk5yMTQJ3Q5YHsTjD9q1ITwPXrxY5gPVAb5R1ndpBZmKlxNLZp1qwZBoOB4uJi6zGN9qKu4Rwzxs6L67t2hAA/UUPugH0XbqnJ+3XtrsPTTZtpybpS2xo/P79qR2w6tT/iRf2V8FBR2kdDnTqJTkppKWzcqGkoNgvxDSE2LBbAOmItuT6ZAOpA1R15ukkAq5Z/cYIEsEcPCA8XtQA3bdI6GttE+EfQM6QnCopuanSZTCZrORh7TgNXLf9i1+lfECfTqLtGt9p3veWq46sAGNPB3kE7jjr9GxgYqHEkdWCd/u2t+dZbtfIA6GvGQX2Pqu9ZyfXJBFAHsrOzsVgseHh46GdH3rETcD4bvL0gpqvW0WAwVE7NyEbZsRyxDvDYMThxAjw8xE5Lu1PXqP5uvwTwQtEFtp3ZBugnAdRlZ7Nq+RcN1xpXVTUBdPDBOHajLjn5NfFXyi2O2cUvOReZAOpA1elf3e3I69tTlGVwAnrslauN8urE1Zgt9l2f5ijqyFF2drbdysGo07+DB4sznu1uYMXI0bETcO68XZ7y18RfsSgWugZ3JbKpY+oi2ltubi5msxl3d3f8/Py0Dsc21cq/9NQ6GkB0Ujw8RKfl2DGto7FN37C+BHoHklOSw7bkbVqHIzUAmQDqgL6nZJyjRw6iHIzJBEePioZZDwZGDMTf05/Mwkx2pezSOhybOKIcjN3Lv1ysqT90r9hZYqdpYHX939gOY+3yfA1BbWt02dnUsPzLxXx9RWcF9FN/1GQ0WXeq62nGQbp6MgF0cros/5KXX7mY/hrnOfi+aVO45hpxrZdG2d3kbi0KrZfdwPYuB1NYWLmY3u7r/6pSOyu/1z/RtigW6//XmI76mP4FvW42c77OJuh0xqGis7IqQSaAjYFMAJ2cuh4nICBAX+VfzBZoEwFhIVpHU40eG2U9rgNUR6vPnz9f73Iwv/0GJSXQqhV0deRyUnX92I54KCur11PtTd3LuYJz+Hr4Mqj1IDsE53jFxcX6LP+y1znKv1xMbWs2bhSdGD0Y1WEUBgzsT9/P2dyzWocjOZhMAJ2cLnvkvztP+ZeLVS0HU1KibSy2UsvB7ErZxbmCcxpHY5umTZtiMBgoKSmpdzmYqtO/Dp2V7NwemgeIpCL+cL2eSk3WR7YbqZuzVavWGnXX6NjGOtu5H8qco/zLxbp0EZ2WkhLRidGDIJ8g+oX3A/Qz4yBdPZkAOjFFUcjJyQF0lAAqCmzbK66daPpXFR0NLVtCQUHlqRLOLswvjJjQGBQU3RzVZDKZrEsW1HVlV6tq/T+HMhqrTAPXbx2gHtf/6bKzaa01qn35l4vptRyMHgvQS1dHJoBOzGw2Y7FY8PT0pEmTJlqHY5tjJyAzSyzG7t1d62guoddyMGoioadG2R7rABMT4fhxcZbzddfZK7LLuFYUw63POsDzhefZfmY7oJ/1f1XLv+hms5miVK7/c5LyLxfTYwKoLjlZk7iGUnOpxtFIjiQTQCemltDQ1Y48tfizE5V/uZgeE0A1kdBTORg1AczJybnqcjDq/9G114oznR2ufwyYjJCUDCnpV/UUvyb+ioJCjxY9iPCPsG98DpKTk2Mt/6KbWqMnz0DqOacq/3Kx664TnZeEBPGhB33C+hDsE0xeaR6/n/5d63AkB5IJoJNSFMX6R1M3PXJwquPfahMXJ2b7Dh+GU6e0jsY2AyIG0NSrKVlFWfxx9g+tw7GJj48P3t7e9SoHs3KluHX49K/K3xd6dhbXV1kOxrr7VyfFn0GntUbVafrezlP+5WJ+fjCoYg+QXjqcRoPRuu5YTzMOUt3JBNBJFRUVoSgKBoPBerSW08vLh3jnK/9ysWbNYOBAcf3LL/r4Y+dmdGNUe/3V6FJHAdXpxbrIzxebdQDGj7dnVFdgnQauewJoUSzWs1T1Mv0Leq01WmX9nxMbW7EMVO3M6IG6DlBPbY1UdzIBdFK6LP+ybS+YzdC2ldiV58TURnnVKn0kgFA5oqSnXrmaUGRlZdW5HMy6dVBaCm3aiB2VDUZdT7ZzP5TUbQ3U7pTdZBRm4Ofhx7WtrnVAcPZXXFxs3amtm1qjTlz+5WJq52XDBtGp0YPr21+P0WDkYMZBTuec1jocyUFkAuikdLkjb/NOcTu4r7Zx2GDcOHG7bh0UF+sjCVSnZXan7iYtP03jaGwTEBCA0WiktLQUi8VSp69VR0zGjWvgDZ4d2kCLQCguqUwybKSOmMS1j8Pd5JxrYC+mtjUBAQH6Kf+yY58o/xIRCpHhWkdzWZ06Qfv2ojOzZo3W0dimuXdzBkQMAODn4/rpcEp1IxNAJ1ReXm4t/6KbHrnZXDklo4MEsEcPaN1aJH87dzbE7oL6C/ENoU9LMdqhTjM6O5PJZF3CUJeNIIoCK1aIazVZbzAGw1WfCrLyuMha9bT+r+rxb7qxqWId7OB+Tlf+5WIGQ+V7WH1P64E8FcT1yQTQCWVnZ1vX/3l7e2sdjm0OHIWcPLGIvkdnraO5oqqN8qZNAdoGUwfq2hw10dADdRrYbLZ99/LevZCaCk2awNChjorsMq6tez3A1LxUdqaIUfAbOt7giKjszmw266/8i8VSmZjroLMJlW3NypUifD1Q25p1SesoLi/WOBrJEWQC6ITKKo6hcnNz08+OPHX695o+4GbSNhYbqWtztmwJoJ6nlTWY8VEi6NUJq3VTo6tqAlhm4xFr6khJXBx4eTkqssvoGy3qd5xOER82UJPyvmF9aenX0pHR2c2FCxf0V2v00HHIyoEmPtDLkWcD2s+QIWJHcHo67Kr/UdMNIiY0hjC/MArKCth4cqPW4UgOIBNAJxQaGkqPHj3w9HTO0gY10tH6P9WwYdCkiUJGhgd792odjW36hPUh1DeUvNI8fjupj/OlvLy8rMmFrbuBNZv+VflWSS627LTpS5YfWw5UJul6UHX3r246m5sq/j8G9gKdrFn08IBRYhO/bqaBDQYD4zqKX8DlR5drHI3kCDIBdEJq6RfdNMhn0yDptCigO9C5SzJU5eUFI0eK6xUr9PFaGw3Gykb5mH4aZXV9mS3HwqWlwc6Kv/FjtTxJbYg4E9W63uwyisqKWJMoVviP76SPBFBRFOv/R1BQkMbR1IGakA/up20cdaTHdYA3droREG1NXXfxS85PJoBS/W2umNOI7irWAOrIuHGiUdNTORg1wfjp6E+6aZSr1gO80m7gVRVrzmNjxbnNmlETjL0HIffy9TvWn1hPUXkRrfxbER0S3QDB1V9eXh6lpaXVNuo4vbQMcdyk0ei0x7/VZuxYsfZ47144c0braGwzou0IvN28Sc5NJj49XutwJDuTCaBUf1v0N/2rGjNGJFC7dhlIsW2pl+ZGthuJl5sXp3JO8ee5P7UOxyZ+fn4YDAbMZvMVTwWpWv5FUxGh0K41mC1XPBVEHY0dFzVONyP36uhfs2bNMBp18qdAbWt6dIKm+ti9rwoOhgGisopuikJ7u3sT1z4OkNPArkgnv/WS0yoohN0HxLUOE8DQUOjWrQCoHHlydj7uPlzX9jpAP9PABoPBWtD8ctPAJSXw66/iWvMEEGDolaeBFUVhxTExr6fX9X+6sUmf078qXU4DR4lp4J+O/aRxJJK9yQRQqh+1IGurlk5fkLU2gwdnA7BcH7kUUJlo6CUBBFETEETiUdvU9aZN4rSEli2hV6+GjK4W6jrArXuglh3Me9P2cjbvLE3cmzC87fAGDO7qFRcXk19xLIVuEsCiYti1X1zrsLMJlZUH1q6FisNXnN4NUaKk0a6UXaTk6WSaRLKJTACl+lF3/w7q6/QFWWszeLAour12LRQVaRyMjcZFiaGEHWd2kJ6frnE0tlHLGhUXF1NQUFDj56gjIzfcIJZ5aa5bFDQPgPwC2Huoxk9Rp8bi2sfh5aZFzZq6U0f//P398fDw0DgaG+3YB6VlEB4C7VppHc1V6d5dLUBfec61swv1DaVfuOgIrTymk7lrySbO0MRKeqXDgqw1iYoqIiJCobBQnNepB+H+4fRp2QcFRTdFodXd7VDzNLCmp3/UxmgUnRuAzTVPA+u9/ItuuEBnU6+ngshpYNfkEgmgoijMmTOHAQMG0K9fP954443L7jR85ZVX6NSpU7WPr776yvr4ihUrGDlyJNHR0TzyyCPWszKlixxK0F1B1poYDHDDDWJKUk4DO5aacNSUAB46BElJ4OkJ113X0JFdRtVyMBdNXafkpbA7dTcGDPL0D0eyWGCL/jubUDkNvGLFJW8np6VWHlibtJbCMp3MXUtX5BIJ4GeffcaKFSuYO3cu7777LsuXL+ezzz6r9fMTExN54okn2LJli/XjlltuAWD//v3MmjWLGTNmsHjxYnJzc5k5c2ZD/Sj6oo6IDIjRTUHW2qgJoB4b5V8Tf9XNUU1qOZjc3FxKS6ufZLJsmbiNiwNfZ6om1D8GPNzhbDoknq72kLr5o194P0J8QzQIru4uXLiAoij6Ov3jcCKcvwA+3tC7u9bR1MuwYeDjA2fPwr59Wkdjmx4tetA6oDXF5cWsS1qndTiSnbhEAvjFF1/w6KOPEhsby4ABA3jyySdZuHBhrZ+fmJhI165dCQ4Otn6oZ+5+9dVXjBkzhptuuonOnTvzxhtv8Ntvv5GcnNxQP45+bNwhbof21zYOOxg+HLy9RX2ueJ2Uu+oV2otwv3AKywrZcEIfc9eenp74VmR3F48CqgnghAkNHNSVeHtBv4rafpt2VHtIj9O/mZmZgCj+rJeSNZWdzV4iGdcxLy/RyQH4SSczqgaDwToNrKcZB+nydJ8Apqenk5qaSt++ldMCffr04ezZs5w7d+6Sz8/Pzyc9PZ02bdrU+Hzx8fHExsZa/92yZUvCwsKI10tW0FCSUyDxFJhMlWukdMzbW5+NsroZ5KejOgmamqeBk5PFGakGQ+UUmVNRp4E3Vx4LV1hWyNqktYA+T//QzfQvwMbt4naIPsu/XEzt5KidHj1Q3+PLjy3Holy+mLukD25aB1BfGRkZALRo0cJ6n3qsUVpaWrX7QYz+GQwGPvroIzZt2kTTpk259957mThxIgDnzp275GsCAwNJS0urNQaz2YzZbLbLz1P1OaveOhvD+m0YAaVPdyxNvMFJ47ySqq/z+PEGfvrJyLJlCrNm6aOBG9thLB/v/pjlx5bzXvl7TjuiU/V1btasGadOnSIrK4uysjKMRiPLlhkAIwMHKgQFWZzv7XRNH0yA8ucxLOcyIbAZq4+vpri8mNb+reka2NUpflev1G7k5uZSVlaGyWTCz8/PKWK+ojOpmBJOoZiMWK7p7RRtTX3b57FjwWg0sm+fgYQEM23b2jM6xxgUMQg/Dz/S8tP448wf9A1zfMffkX8HdfHedzBdJIDFxcWkp9dc6qKwophS1VIG6vXFa4wAkpKSMBgMtGvXjjvvvJOdO3fyr3/9C19fX+Li4iguLr6kLIKHh0eNz6U6duxYnX8mWx04cMBhz10fnVatxxdIbhdGhl4WslzGgQMHaNPGDaOxJ3v3Gli16hBhYbX/nzuLQHMgXiYvzuad5ZvfvqFL0y5ah3RZBw4cQFEUDAYDFouFPXv24ObmxsKFHQF/+vY9y759zlnWpnNkGE1OpZC86AfOD+rNgn0LALim+TVON0NQW7tRUlICiNHj/fv3N2RIV63Fmq20AvI6RnL8RKLW4VRTn/Y5JiaKPXv8+PDDFG6//dLZKmfUL7Af61LX8enmT3Hv1HBT8c76d1DvdJEAxsfHc/fdd9f42FNPPQWIZM/T09N6DVjX9VV10003MXz4cGs5is6dO3Py5EkWLVpEXFwcnp6elyR7paWlNT6XKioqCh8fnzr/XJdjNps5cOAAPXr0sBbQdRrnszEmicMsw2+/mfAQHR0kf5GLX+dBg0Qx4uPHuzF2rD52g4w9MZbvj3zPQeUgt8XcpnU4Nbr4dU5ISCA1NRV/f39atIhi926xGuXBB1vSsaOWBwDXzjBqKMxbROTJNFo+3J2t67YCcN+g+4hpE6NtcBUu124oisLu3eJIuw4dOhAcHKxFiHVmfH8xAL7jRhITE6NtMBXs0T7feaeBPXtg584I3ngjzM4ROsY9pntY9+M6tmdv5+OYjx3+/Rz5d7CwsNChgzd6oIsEsH///hw9erTGx9LT03nzzTfJyMggIiICqJwWrqmBq1qLTNWuXTu2bxdrTEJCQqyLpFWZmZmXbSxNJpPDkjRHPvdV+32X2CrbtSOmMH3sfLwS9XW++WaRAP74o5HHH9c6Ktvc0vUWvj/yPT8e/ZHZI2drHc5lqa9zixYtSE1NJSsri717DZSXG+jaFTp3drL3elXDB8C8RRj+iGf78Q1kFWUR5BPE0LZDMRmdK+6a2o2CggKKioowGAwEBQU5X7tSk/MX4IBo+43DB4o1x06kPu3zzTfD44/D778byMoyoYd8fHzn8bgtd+NgxkESLiTQKahTg3xfR/wd1MX738F0vwkkJCSEsLAwa88WYPfu3YSFhV2ylg/gnXfeYerUqdXuO3LkCO3atQMgOjq62nOlpqaSmppKdHS0Y34APVJ3/w7T/+7fi6mLs7dsgYp+hNO7oeMNuBvdOZx5mCOZR7QOxyYBAQG4ublRVlbGH3/kAnDTTdrGdEUd2kBEKJSUkrDyW0AUyHUz6qIfbe0YN2vWzHous9NTay927Qg6nmmoSWSkOO7QYtFP/dGmXk2t55D/cOQHjaOR6kv3CSDAbbfdxpw5c9ixYwc7duzgrbfeqjZlnJWVZT16avjw4ezcuZP58+dz+vRpvv76a5YtW8a0adOsz/Xjjz/y3XffceTIEZ5++mmGDRtGq1b6PHrI7vIL4Y994nr4QE1DcYQ2bSobZb3sBg7wCuC6dhWN8mF9NMpGo9G6C9VoFImJ0yeABoP1PR+4XUwdTewyUcuI6qRq+Rfd2FCx+9cFO5sAFXsP+UEfv7YA3NzlZgC+P/y9xpFI9eUSCeD06dMZO3YsM2bM4LHHHmPChAnVRvkmTZrEggViwXbPnj155513+PHHHxk3bhxffvklb731Fr0qTp7v1asXL730Eu+//z633XYbAQEBzJ7t3NNqDWrbHigrh9bh0CZC62gcQo+N8sTOIujvj+inUVaXVfTvn0l4uEKfPhoHZIsRIgEccdaP5iY/RrYbqXFAtikuLiY/Px/QUQKYXwg7KzbXuGBnEyrbmjVroOK/x+lN6DQBAwZ2puwkOUfWx9UzncwDXJ7JZGLmzJm1ntix/qJTt0eOHMnIkbU33DfffDM333yzXWN0GRur9MidtORIfU2cCM8/LxrlvDzw89M6oiub0GkCD654kF0puzidc5rWAa21DumKmjVrRnm5kZCQEqZOzcNo9Nc6pCvrFkWOvxsBufCkWxxebl5aR2QTdfo3ICDgkioHTmvrbpfvbHbrBu3bQ2Ii/PILTJqkdURXFuIbwrWtr2XL6S0sO7KMv/X/m9YhSVfJJUYApQZSVlZ5HufwAdrG4kDdukGHDlBaKhplPQjxDWFQ60EALDuyTNtgbGQwmNi1S0wDDx+eeYXPdhJGIyvCRKxTzjl/kq3S9fTv8AEu29k0GOSMg6QdmQBKttt1AAoKIbAZdIvSOhqH0XujrJfF2Vu3wtq1IiHx9dVHAng44zDzmx0CoO3+c1Du/MVkS0tLycnJAXSUAJaWwVbX72xCZVuzcqXodOqB2tZsOrWJzEJ9/O5Kl5IJoGQ7tUc+tD8YXfuto8tGuUtlo5xR4PxbmJcsge3bAzGbDRQVFVo3ajmzH478wKbmWeR4KRiz82DfIa1DuiL16DdfX9/L1jN1Kjv3Q0ERBDUXO4Bd2IABEBICOTmwcaPW0dimbbO29ArthUWx6OoYSqk61/4rLtlPuRk2bBPXI1xzQXZV/ftDy5aQmwsXLSF1Wm2atrE2ys5+YLvFAkuXQkGBG4rSDOCS+pvO6PvD32M2KqT1qZj+VX8nnJi6/k83o39Q+boOc/3OptFYWX5q6VJtY6kL6zSw3A2sW679myXZz94/4UIOBPhBbE+to3E4vTbKeinRsGMHnDkjNth07CgSE2dPAE/nnGZ36m4MGAgZXzFEvGGbyGadVHl5ORcuXABqLozvlMrLq3Q2r9E2lgaibv74/nvx4+uB2tasSVpDXkmextFIV0MmgJJt1v4ubocPBLfGUUF98mRx+8MPYv+LHqi98jVJa8gtydU4mtotWSJux4+Hli1FApiXl0dxcbGGUV2emlQPaj2IpoOHQBNvOHceDh3XOLLanT9/HkVR8Pb2tvtxlQ6z6wDk5EGzAOjdXetoGsTw4RAYCJmZ8NtvWkdjm67BXYkKjKLUXMqq46u0Dke6CjIBlK7MXGX697rG0SMHGDIEWrSA8+dhwwato7FN1+CudArsRKm5lOVHnXMaWFEqE8DJk8HDw4OAgACgcrrSGS0+KM6kndJtCnh6wLWx4oH1zjsNfO7cOQBatGiBQS87aRthZ9PNTRwNB/Dtt9rGYiuDwcDNnUXQSw4v0Tga6WrIBFC6sr0HIati+rev60//qvTaKE/pNgWAbw85Z9A7d8Lp09CkCYwaJe5Tj21UExZncyr7FNvPbMeAgVu63CLuVNfCrtsqslonU15eTlZWFqDT6d+R12obSwObIn5tdTUNPLmbmCZZeWwl+aU6qWQtWckEULoytUc+tL/IihoRtVHW0zTwX7r9BYBfEn4huzhb22BqoI7+jRsH6qZUdYNCXl4eRUVFGkVWuyWHRNBDIofQ0q+luPPaWPDyhLNpcDhBw+hqlpmZiaIo+Pj40KRJE63DsU0jnP5VDRsGQUFiGlgvu4F7hfaifbP2FJUXseLYCq3DkepIJoDS5VWd/m1kPXKonAbOytLPbuBuLbrRNbgrpeZSpyvRoCjw3XfiWl1jCeDp6UnTpk0B55wGVkdT1dFVALy9YHBfcb1miwZRXZ76OgYHB8vpXx3Q64yD2uFUl0hI+iETQOny9h6C89ng7wv9orWOpsGZTJU79PTSKANO2yjv2QMnT4KPD4wZU/0xdZrS2aaBT2af5I+zf2A0GCunf1Vx4vQV1mxxqt3AVad/1el1p1d1+jeu8XU2ofo0sG5mHLqLtubn4z879cYz6VIyAZQub13jnf5VVZ0G1ktRaHWk6tfEX7lQdEHjaCotXSpGosaOFUlgVWoCmJ+fT2FhYUOHVqtvD4rMf1ibYYT4hlR/8Jo+YjdwWgYcOKpBdDVTd//qdvq3V+Oa/lUNHSqmgc+f1880cI8WPegU2IkSc4nTzThIlycTQKl2ZjOs3yquRw7SNhYNDRokKvVfuADr1mkdjW06B3WmZ0hPyi3lTnM0nKLAt9+KBLDq9K/Kw8ODZs1EUWhnmgZWE8ApXadc+qCXJwzpL66daBpYramom9E/aNTTvyo3N7ilYpBZLzMOchpYv2QCKNVOnf71awL9Gs/u34vpdRpYTVjUBEZrBw404eRJA76+YgNITZxtGjgxK5HdqbsxGozWwreXuH6wuF37u+g0aUxRFH0Xf26k078qPW48U2ccViesdsqNZ1LNZAIo1e6XioqkI64Bd3dtY9GY2igvW6a/aeC1SWud4sD2X35pDsBNN106/atSNywUFBQ4xTTwd4fEjpURbUcQ3KSWZGpAjOgkZWaJTpPGysvLURSFJk2a6Gf694/4Rj/9qxoyBIKD9VV/tFuLbnQL7kaZpYxlR5ZpHY5kI5kASjUrLatc/zdmqLaxOIFrrxVnA2dnwy+/aB2NbToGdqRXaC/MipkfDms7DVxeDmvXiund22+v/fPc3d2t08DOMApoLf5c0/Svyt1dTFsCrNncAFFdXlnFsJFuRv8Afq7obMYNarTTv6qq08DffKNtLHUhp4H1RyaAUs227oa8AghuDr26aR2N5kwmuO02cb1wobax1IXaKC/6c5GmcaxfD1lZ7gQFKYwcefnPrToNrGhYYPlQxiH2pe3DzejGxC4TL//J6jTwuq1Qrt00cGlpKeaKaWjdrP8rKoaN28W17GwClW3N0qXghGUxa6TuBl6btJbzhec1jkayhUwApZr9vFHcjhoish+JO+4Qtz/9BLk6qXZwa/dbAdh4ciNncs9oFsc334jNH5MmKVdcTRAUFITBYKCwsJD8fO1OF1i4X2T6YzqMIcgn6PKfHNsTmvpDdi7s2t8A0dVM3Tzj5+enn7N/f9shksCIUOjeSetonMKgQdC6tWhnVuikvnJUYBS9QntRbil3mnXH0uXJBFC6VH4hbN4prkfLHrmqVy/o0gWKi0WdLj2IbBrJkMghKCh8feBrTWIoKoIffhAJ4K23XnlEz93d3XoySHp6ukNjq41FsbDwgEgA7+x555W/wM1UeU622nnSgDptrsvp39FDQS8Fqx3MaKzscOppxkH9XfnqwFcaRyLZQiaA0qU2bBNrANtEQKd2WkfjNAyGykb5Kx21b3f2qGiU92sT9KpVkJdnIDS0hGuuse1rQkJEvb1z585h0aDA8u+nf+dUzin8Pf0ZHzXeti8aO1zcrt8mRrQaWNURU90kgBdyYPsecS07m9Wobc2qVWJDiB7c1v02jAYjW5O3kpiVqHU40hXIBFC61C+yR14bdQPD+vWQkqJtLLaa3G0yHiYPDpw7QHxafIN//68rBh6vv/4CRhtbnObNm+Pm5kZpaSnZ2dkOi602arI8qcskvN29bfuinp3FNGZRcWVJkwakjpaaTCY8PDwa/PtflTVbwGyBLh1Eh1Oy6tYNYmJEKRj1+ERn19KvJSPbiUW+WnU4JdvJBFCqLvMC7KxYwzR6iLaxOKG2bcWOYEWBRdruq7BZU6+m1lGshm6Uc3Jg5UpxPXp0ls1fZzQarZsYGnoauKS8xHr2r03TvyqDoXIUcNVG+wd2GYqiWF8ndz2VbKra2ZQucWfF209PMw539bwLgC/3f6npJi7pymQCKFX36yZxpmmPThDRUutonJLaKOtxbc7Xf36N2dJwu1SXLoWSEujSRaFjx7ptZ1SngTMyMqw7WxvCquOryC7OJsI/gqFt6piYqAngH/GQ0XDzdrm5uRQXF2MymXDTy5GNZ9Jg/xGx4G3UYK2jcUq33Sb6Fb//DklJWkdjm5s634SPuw+JFxLZfma71uFIlyETQKk6tUc+SvbIazN5sqjVtXcvHNK+7q9NxnYcS3Pv5qTkpbDhZMNVl/38c3F7111KnVcT+Pv74+XlhcVisR5t1hDUBey3d78do6GOTWREKER3EZ2oXzY5ILqaqaN/gYGBGPSybENta2J7QFBzbWNxUmFhcN114vprbfZw1Zmvh6/11Bw5DezcZAIoVUo4BYcSRNmX6xvv2b9XEhgIY8eKa71MzXiYPKzFjBuqUU5IgM2b1R2NdZ8KMhgM1lHAtLQ0e4dXowtFF1hxTNTdqNP0b1U3qNPADZNoWywW6+5f3dT+U5TK3dJjhmkZidOrOuOglxlVdRr4m4PfUGrWydFJjZBMAKVKy9eK28F9oXlTTUNxdlXX5jjB8a82uStaNMpLDy+lsMzxx6x98YW4vf56CA+/uudQE8ALFy5QUlJip8hq992h7yg1l9IzpCc9Qnpc3ZOMHATubnD8JBw7Ydf4apKVlUV5eTkeHh40bdrU4d/PLvYfgVNnwcsTRgzUOhqnNnEieHnBkSOwc6fW0dhmRNsRhPqGklWUxc/Hf9Y6HKkWMgGUhPLyyh75+Os0DUUPxo+HZs0gORnWrtU6GtsMjBhI26ZtyS/Nd/jRcBYL/O9/4nrq1Kt/Hh8fH/z9/YGGORrus32fAZUjGFfF3xeG9BPXDTAKmJqaCojRP91M//5U8UsTNwia6KRgtUb8/eFmMaPKZ59pG4ut3Ixu3N5dlEz4cv+XGkcj1UYmgJKwZRdk5UDzALi2j9bROD0vr8pRwAULtI3FVgaDgakxUwGYv3e+Q7/Xhg1w+jQEBMCECfV7rtDQUEAkOo7cVXgo4xDbz2zHzehWvwQQKjeD/PybQ4+GKykp4XxFkbiWLXWyaauoWJR/AdnZtNH06eL266+h0PGD93Zxd/TdAPx09CcyCjI0jkaqiUwAJWH5OnE7drjY4SBd0bRp4nbZMv0Uap0aMxUDBjac3ODQQq3q5o/bbhPJcn20aNECo9FIYWEhuQ48g2/+HpEUj4saR4hvSP2e7Jre0CwAzl8Q52o7iLr5w9/fnyZNmjjs+9jVut+hsAhatZTnjNto2DBRgio3Vz+nEEWHRtOnZR/KLGVyFNBJyQRQgqxsMQIIMH6kpqHoSUyMOB6utFQ/JWFaB7Tm+vbXA7Bgr2OGLnNzRfkXqN/0r8rNzc16soU63WlvpeZSvtgvFi1O7zW9/k/o7l65GeSHX+v/fDVQFMX6euhm9A8qp3/HXycLzdvIaIR77xXX8x07eG9X9/W+DxAzDrImoPNxiQRQURTmzJnDgAED6NevH2+88Uatx0c9++yzdOrU6ZKPu+++2/o5sbGxlzxeUFDQUD9Ow/v5N7GToVsUtG+tdTS6ok7NzJ+vnx16aqP8efznlFvK7f78334rzv/t3Bn69bPPc6oJzrlz5ygvt3/My48uJ7Mwk5a+LRndYbR9nvQmkWjz+y44Z/8h4pycHIqKijAajfo5+i05BfYcFBnNDSO0jkZX7rlH5MsbN0KiTk5Zu637bXi7eVuXV0jOxSUSwM8++4wVK1Ywd+5c3n33XZYvX85ntayWnTVrFlu2bLF+LF68GA8PD2sCmJ6eTl5eHmvXrq32eT4+LrpQWVEqd//K9Th1dvvt4OkJ+/fDnj1aR2ObGzvdSJBPECl5KfyS8Ivdn3/ePHE7bZr9BngCAgLw9vbGYrGQkWH/9UTqmsipMVNxM9ppCUSbCOjVVeyIUZdY2JFaGqdFixb6Kf68fL24HRADIUGahqI3rVuLHfWgn80gAV4BTOkmyk99uudTjaORLuYSCeAXX3zBo48+SmxsLAMGDODJJ59kYS1zcn5+fgQHB1s/3nvvPUaPHs3IkWLqMzExkeDgYFq1alXt83Szu66uDhwV9f88PWQ1/qvQrFnlDj29bAbxMHlYNznYezPInj2iVIWHh32mf1UGg8E6CmjvaeAzuWdYnbgagGm9ptn1uZlQ8Rf7pzUiEbST8vJy665o3Uz/lpthRUUiLJeaXBV13fHnn+un/JQ647D44GLySvI0jkaqSvcJYHp6OqmpqfTt29d6X58+fTh79uwVy0Zs27aNnTt38vjjj1vvS0hIoG3btg6L1+ksqajRdP1g8PPVNhadUhvlhQtBLysF1HVuy48uJy3ffkWWP/5Y3N58M9h7VlKtCZibm2vXJRmf7/sci2JhSOQQOjTvYLfnBWDkteDbBM6mi+Ph7OTcuXNYLBa8vb2tZXKc3padYiq8qT8M7a91NLo0YYIoRH/2LPxi/8F7h7i21bV0CuxEQVkBiw8u1jocqQqdzBvUTp0OqloBPyhITC2kpaVdtjL+vHnzmDhxYrUedGJiIkVFRdx1112cOHGCLl268Nxzz102KTSbzXY/q1R9PoeegZqTi3HtFgyAeeL1+ulS2pE9XuehQ6F9eyOJiQYWLrQwfbrzLwbsHNiZ/uH92XF2Bwv2LOCZa5+p93Pm5cHXXxsBA/ffb672drLH6+zm5kZgYCDnz5/n7NmztG/fvp4Rg9li5pPdnwBwb/S99v99c3fDMHoIxiU/Y/lhNUrfnvV+SkVROHv2LCBK5FRd79wg7cZVMn63CgNgGX8dismo6/ZGq9fZzQ3uvNPAO+8Y+eADhdGj7Teq7Ej3xtzLs+ueZd7uedwbfa/NX+fI19kZf0cami4SwOLiYmu5g4sVVhRF8vDwsN6nXpeW1n4ETXJyMtu3b2fWrFnV7k9KSiInJ4fHH38cX19fPvnkE6ZOncrKlSvx9a15hOzYsWN1+nnq4sCBAw577hZrttKqtIyC1i05UloA+/Y57Hs5u/q+zuPHt+C//23FW28V07v3YV1sbhwVNIodZ3cwd/tcRvqMxGQw1ev5liwJIj8/kjZtivD3P1Tj26m+r7O6ASQlJYXc3Nx6L83YmLaR07mnCXAPIKosin0O+B3w7tyargAbt/Pnpt8p969fuRaz2Wxt986dO1fjOcmObDeuhue5LLrv2IdigIOdWlHqIm2NFq/zkCGevPNOd37+GVauPER4uPMftdbL2As3gxs7U3ayaOMiujTtUqevd7b3s6vQRQIYHx9fbZduVU899RQgkj1PT0/rNYC3t3etz7l69Wq6dOlChw7Vp3zmz59PWVmZtabWnDlzGDp0KBs2bGD8+PE1PldUVJTdN4mYzWYOHDhAjx49MJnq94e5RhYLxpfFan3vO24iplcv+38PHbDX69yqFXz0kcKxYz6UlMQwYIAdg3SQTt06MffYXFKLUklpksL4qJrf37ZQFJg+XawomTHDk169Yqo9bq/XWVEUdu3aRXFxMaGhofVe//bswmcBuD/2fvr3cdC0ZAwo36/DeCiBHkmpKFMn1evpjh49SmFhIS1atKBTp07VHnN4u3GVDO98Li4G9KZr3HBNY7EHLV/nmBgYOVJh7VoDmzd347XXnH/GAWByymQWHVzEurx13DbsNpu+xpGvc2FhoUMHb/RAFwlg//79OXr0aI2Ppaen8+abb5KRkUFERARQOS18udIImzdv5rrrLt316uHhUW000dPTk4iIiFpHIAFMJpPDGgGHPfeuA3AmFZr4YBwzDJzoj4UW6vs6t2gBt94qFmd//LGJa6+1X2yO4mvy5b5e9/HG1jf4YNcH3NTlpqt+rh07ID5e7Ii+915jrW8ne7yfw8PDSUxMJDU1lfDw8KseBTx2/hhrT6zFgIGH+z7s2D/kU8bBi//F+P1quGcSuF3d9yotLbW2bxEREbXG7Mg2qc6KS2Cl2P1rmHKD88RlB1q9zjNmiCMoP/vMyMsv17/YekP4W/+/sejgIhb9uYg5188h0CfQ5q91xOvsSu/Dq6X7TSAhISGEhYWxe3dltf3du3cTFhZW6/o/RVE4cOAAvXv3vuT+kSNH8n2VUuuFhYWcOnWKdu3aOeYH0Iq6+WPsMPCpfaRUst3DD4vbxYvBAZVKHOLB2AcxYGBN0hqOZtbcybLFhx+K2ylToHlzOwVXi9DQUIxGIwUFBeTk5Fz183yw8wMAboi6gbbNHLzx6/rB4mSQ9EzYePX10NTj8Pz8/PSz+WPtFsjJg5YtxAkpUr2NGyfKwpw/L+pu6sGAiAH0btmbEnOJw4+ilGyj+wQQ4LbbbmPOnDns2LGDHTt28NZbb1WbMs7Kyqq2a/Ds2bMUFBRcMv1rMBgYNmwY7733Hjt27OD48eM8/fTThIaGMnTo0Ab7eRwuPRM27RDXt4zRNhYX0rcvxMaKk0H0UhKmbbO2jIsaB1QmRHWVng6LFolrNQl2JHd3d+uOYHUzRF0VlBbw+b7PAXik7yP2Cq12Hu4wcZS4/nbFVT2FoiikpKQAYhRUN9TO5s2jGv1Mg72YTPDAA+L6g6v7tW1wBoOBGX1nAKKtMVvkJgytuUQCOH36dMaOHcuMGTN47LHHmDBhAlOrFCGbNGkSC6r8RVYPTw8ICLjkuZ566ilGjRrFE088weTJkykvL2fevHmuNVz87UowW6B3N+gQqXU0LkVNgD76SD+bHNUE6PP4z8kvza/z13/0kUh6+/enwdY+hoWFAZCZmUlJSUmdv37hgYXklOTQoXkH69F4DnfLaDAZxUkYx0/U+cvPnz9PSUlJtaPxnN7B4/DnMbF99UZZ+8+e7rtPnDi4YwdUmQBzard2v5Xm3s05lXOKlcdXah1Oo+cSCaDJZGLmzJns3LmT7du38+STT1ZbF7R+/Xr+9re/Wf8dHR3N0aNHq631U3l6evLss8+yZcsW9u3bx0cffaSfQqu2KCqGH0TRW26foG0sLujWW8UU6MmT8OOPWkdjm7j2cXRs3pHckly+jK/boe0lJZXTv3//u/1jq406BVp1VMxWiqIw94+5ADwU+xBGQwM1gyFBMHyguF5c9z9+6mhny5Yt9dMhXbhM3I4aDIHNNA3F1bRoAZMni+t33tE2Flt5u3tzXy9RGFr9HZS04xIJoFQHK9ZDbj5EhMLgvlf+fKlOvL3hwQfF9VtvaRuLrYwGo3UU8J0d72BRbK8ttnixmAIOD4dbbnFUhDVTp0FTUlLqVNNrTdIaDpw7QBP3JtwbY3tNMru4tWKn9c8bxbo4G+Xn53PhwgWgcvTT6aVlwLrfxbXsbDrEP/4hbhctgjNntI3FVg/1fci67vjguYNah9OoyQSwMbFYYNFP4vrWG+V6HAeZMUMchbZ1K2zbpnU0tpnWaxoBngEcPX+UFcdsW6OmKPDf/4rrGTPEdFRDCg4OxtPTk7Kyssvu0r/YnK1zAHFEVTPvBh6Viu4CUW2hpBS+t/0oh+TkZEAUvL9ceSunsniFWGrStyd0crFNdE4iNhaGDIHycnjvPa2jsU2bpm2Y2GUiAG9t00kv2UXJBLAx2bILTqeIo6luvLQEjmQfLVvCHXeIa72MAvp5+vFgrBi6fHPrmzZ9zaZNsHevGPW8/35HRlczo9FoLf2UnJyMoly5Hlp8WjxrktZgNBj5+4C/OzjCGhgMcMdN4vqb5SIRvILi4mLrsZbqz+v0Cgrh+4qlJurPKznEk0+K248/Fqfx6MFT14j6vV/t/4qUvLot4ZDsRyaAjcnCikVpE6+XpV8cTD1e+ocfIClJ21hs9Wj/R3E3urPl9Ba2n7lyqZLXXhO399wjzifVgroerqioyLq563LUEYfJXSfTpmkbB0dXi1GDITQYzmeLJRlXcPbsWRRFoWnTpvop/fLjGpEEtomQpV8c7IYboFMnyMmB+TqprjIgYgCDWw+mzFLGO9t1soDRBckEsLHYfwR2HxDTvn8Zp3U0Lq97dxg9Wsy6/+c/WkdjmzC/MO7seSdw5VHAPXvEYfRGI1QcxqMJNzc361rA06dPX/Zzz+SeYdGfol7Nk9c86fDYauXmBndUrIn76ofLbhcvLy+3bnJp1apVQ0RXf2Vl8HXFUpPbbxRvEslhjMbKDud//iOmg/VAHQX8aPdH5JbkahxN4yR/MxuLBRXVQseNEKMPksOpUzOffgppadrGYis1Mfrh8A8cP3+81s9TR/9uvRW0rpGungaSm5t72cLQ/9n2H8ot5QyNHEpsWGwDRliDm66HAD9IToUNtS8UVTe4+Pj40NzRFbbtZdVGsQEksBmM1f+xb3pw110QHAynT1fW5HR2N0TdQJegLuSW5DJv9zytw2mUZALYGBxNEuv/jEaY2sBbNRuxESNEbbziYv2sBewa3JVxUeNQUJi9ZXaNn3PsGCxZIq6ffbYBg6uFp6entTD0qVOnavyccwXn+HCXqFfzzLXPNFhstfL2gik3iOv/fS921FzEbDZbN3+0bt36qo+8a1DlZvjsO3F9103g5alpOI2Ft3flKOCrr+qjBqnRYLR2ON/e9jbF5cUaR9T4yASwMVAb5LhB0EonJSRcgMEAzz8vrj/4QD/Hw/1z8D8B+CL+CxKzEi95/PXXRb4yfjz06NHQ0dWsdevWgDj1Jzf30umkOVvnUFReRN+wvozuMLqhw6vZX8aBpwccToCtey55OCUlhbKyMry8vGo91tLprNkMZ9LE6KY8ZahBPfKIqEF69Kh+joe7s+edtA5oTWp+ao2jgEePwuzZraljqU/JRjIBdHUnz8C6reL63snaxtIIjRkDffpAYaF+1gL2j+jPmA5jMCtmXt38arXHTp6ELytqRc+c2fCx1cbHx4fQ0FAATp48We2xjIIM3t/5PgDPD33eeUbSmvrD5LHi+uOF1UYBzWazdU1jZGQkRj2so7NYYEFFZ/OOCWKUU2owfn6VdQFffln8dzg7D5MHswbPAuC1La9RVFZkfUxR4J57jCxdGszy5U7yO+tidNCqSPXy6WLxmzS0vzz2TQMGA/zrX+J67lzIytI2Hlu9MPQFQIwCJl2o3Mb873+LNf4jR8LAgVpFV7PaRgHf3vY2hWWF9GnZhxs63qBVeDW75xaRKB1KgM07rXdXHf1Tp7ed3vptcCIZ/JrAFLnRTAt/+xsEBMDhw7B0qdbR2GZqzFTrKOAnez6x3v/TT7BrlwFvbzMTJ165xJNUdzIBdGVHk+CX38T1/bdqG0sjduON0LOnqNE1Z47W0dimf0R/RncYLUYBN4lRwCNH4IsvxOOvvnqZL9ZITaOA5wvPM3enOHLKqUb/VM0C4C8VSelHC8FiuWTtny5G/8rN8OFX4vrW8eDro208jVRAQOWRjC+9pI+1gFVHAWdvmU1RWREWS2XH+dZbz6GXFRB6o4OWRbpqH1Q0yNcPhs7ttY2lETMYxMgZiJMz9LKeRR0F/F/8/ziaeZQXXhDTSjfeCP36aRxcLaqOAubk5PDq5lfJL82nV2gvxkeN1zi6Wtw5UdTlPHYCNm7nzJkzlJaW4unpaU1ond6KdXDqrFj7Jws/a+qxx6BpU/jzT/jqK62jsY06CpiWn8aHuz7k22/hwAEICFC46y7bT/mR6kYmgK5q70H4fReYjPDgHVpH0+hNmADXXANFRfDii1pHY5sBEQMYFzUOs2LmoaXP8u23Ipl9+WWtI6udj48PLVu2BODQ0UPWA+dfH/m6843+qZr6w20iOVU++IrTJ04C0LZtW32M/hWXwLyK2iPTpsjRP401a1a5Pvdf/xJVCJydh8mD54eIHXOvbHqFf74izr1+/HEFf38dDGPqlA5aF6nOFAXmVszVTbgeWsudv1ozGOCNN8T1/PliOlUPXh/5OkaDkQ1py6D1Zm69VUxnO7M2bdpgNBopKSxhYPOBXN/+euLax2kd1uXdeRME+GE4eYaQrfto0qSJftb+LV4B586L+qKT5M5fZ/C3v0FEBCQn6+eM4KkxU+neojsXii+QGP4qQUHw6KNy7Z8jyQTQFW3cDvGHRYmJ+/+idTRShWuvFSOBFotz7aC9nK7BXRkVJA76NYx6khdfdP4G2dPTE1NTEwB/bfdXXrvuNY0jsoGfL6X3TgKgzeqtdAht6bwjllXl5sPnFUUhH7xDtDmS5ry94ZVXxPX//Z8+Np+ZjCZevKbiBKJ+7/HQc0n4+Wkbk6uTCaCrKSmF/y4Q13fcBMEaHdIq1ej//k/U4162DH77TetorqysDI5/8iKUNkEJ/4O9pc5fYExRFP69799klWYR7h1OsFkfJ98c79GeghbN8Sgootn3a7QOxzYfLYS8AmgfCWOGah2NVMWdd4o6ndnZzr1so6rtC0dBYhy4lXIk/Dmtw3F5MgF0NV8tg7Pp0CIQKkYUJOfRtSv89a/iesYMkWA5sw8/hIR9ofjsfRqAp9c+TUFpgcZRXd63B79lzYk1fHVarIA/efIkpaWlGkd1eRcuXCDjQhaJ44aIO75ZLgoqO7NjJ2DJz+L6qfvFOeOS0zCZ4M2KAbX33hObQpxZQgK8818D/PomBgx8d3gxW05v0ToslyYTQFeSnll56sejU2UhVif16qsQGCga5LlztY6mdunp8ILYCMzrE54kMiCS0zmneem3l7QN7DJyS3L5x2pRDTemQwxNmjShvLycxMRLTzRxFhaLhePHxbnLXtddC/2ioawc5syr8Yg4p6Ao8ObHYj1D3CCIdfKFoY3UqFEwcaIoB/PII879dnrsMdEhHhUTzfTe9wHwyM+PUG4p1zg61yUTQFehKPDmPLEjL6YrjBqidURSLZo3h9cqlqW98AKkpmobT23+/ncxfdS7Nzx0nw/vjRGryd/e/jZ/nnPO4YQXN75Ian4qHZp34OlBTxMVFQVAeno62dnZ2gZXizNnzlBYWIi7uztt27WDp/4Kbm7i/O51v2sdXs1WbYS9h8RZv4/dq3U00mX8979iTeCmTbBwodbR1Ozbb2HVKvDwEPG+dt1sgnyCOJhxkIVJThq0C5AJoKtY97vY/GEywbMPim2nktOaNk3U0svLc86e+apV8M03Yr3iJ5+It9X4TuOZ0GkC5ZZyHl75MBbFuc6a2pO6h3d3vAvA3DFz8XLzIiAgwFoW5tixY1ic7HysoqIia9Hq9u3b4+7uDm1bwdRbxCe8+QnkO9mU+/kL8Pan4nr6FLH7V3JarVtXFlV+/HHnO5P8wgUx+gcwaxZ07gyBPoHMiRNV8+cdm8ep7FMaRui6ZALoCrJz4Y2PxfW0ydChjabhSFdmNMK8eWKg54cfRLLlLPLz4aGHxPU//iFGAFXvjnkXH3cfNp/ebK2x5wxKyku4+4e7MStmJnedzKgOo6yPtWvXDnd3dwoLCy85J1hLiqJw5MgRLBYLTZs2rV725d7J0DpcJFvvfK5ZjDV6/WPIyYOotnDXRK2jkWzwxBPQvbtI/mbM0Dqa6p5+Wiw36dwZnnmm8v67o+9mSOshlFhK+DXpV+0CdGEyAXQFcz6BrBwxcnDvZK2jkWwUHV3ZM58xA9KcZM3/Y4/B6dMQGVl5gomqdUBr3owTK8ufWfsMRzOPahDhpV7c+CIHMw4S7BPM+2Pfr/aYu7u7dSr49OnT5OTkaBHiJc6ePUtOTg5Go5FOnTpVL/vi6QHPPSyuf1hd7ZxgTa3dAuu3iiHhFx4TPRjJ6Xl4wOefi/+2b78VH87gp5/g00/FhNW8eeDpWfmYwWDg20nf8nT3p7mt+23aBenCZAKodys3iPN+jUb419/Aw13riKQ6mDkTevUSdbruu0+sqdfSkiWwYIFokP/3P2jS5NLPeSj2IeLaxVFcXszdy+7WfJH2tuRtvLFVVNmeN34ewU0unZIMDg62jrAdOXIEs8aHpBYUFJCUlASIqV9vb+9LPym2B9w+QVy/9K4YDdRSWgb83wfi+t5J0KmdtvFIddKnj5hiBXj4Ye2PpExLg+nTxfUTT8DgwZd+TpBPEFPaTMHXw7dhg2skZAKoZ6dT4LUPxfVfb4WenbWNR6ozd3eRaHl6wsqV8NZb2sVy5kxliZpnn4WhtZR1MxgMLJiwgADPAP44+wez1s1quCAvklmYyV+W/AWLYuHOnndyU+ebav3cDh064OHhQVFREceOHUPRaOGl2Wzm4MGDWCwWmjVrRljYZU7qeeQu6BAJF3Lg5fe06yGUl8Nzb4rCz107iLV/ku7MmiU6nOfPw623iv9WLVgscO+9kJkpZkLUotVSw5IJoF4Vl4gGuagY+vSQU7861qMHvCv2LjBzJvyuwcbP4mKYNEksyI6NvfJ5xRH+EXx6o9gI8MbWN/jh8A+OD/IiFsXCnd/fSXJuMlGBUZdM/V7M3d2dLl26AGJXcIoGQyCKonDs2DEKCwvx8PCgc+fOlz/xw9MDXnlCjOxv2QULNJq7+2gh7D8CTXzg/54WPRdJdzw8YPFi8PODzZvhn//UJo6XXoJffhEd34ULq0/9Sg1HJoB6pCjw73fgSCIE+MHLj8sirDp3//1w++2iXteUKWI0rqEoitj0sWOHOEj+m2/EH4ormdR1Eo8PeByAe5bd0+DrAf+98d+sTlyNt5s3SyYvwd/T/4pf06xZM9q1E1OXCQkJ5ObmOjrMalJSUkhPTwega9eueNryl69DG3jmQXH90dew6Q/HBViTX36Dz5eK63/NgIjQhv3+kl117CiWeQC8/jp8/33Dfv9lyyrXFn/0EXTr1rDfX6okE0A9+uQbWLNFLMB+c6Y49UPSNYMBPv5YnBSSkgI33AANlZv8979igbjRKBaHt29v+9e+NvI1BrceTF5pHmMWjiEtv2F2sny29zNe2iQKUn94w4f0COlh89e2atWKoKAgFEXhwIEDFBUVOSrMajIzM60Fn9u1a0fTpk1t/+IJcTB5rLj+11tw/IT9A6xJ/GGx/hDgjgkwclDDfF/JoSZNqiy9cscdsHVrw3zf/fvhrrvE9aOPwtSpDfN9pZrJBFBvlv0K8xaJ62cfhN7dtY1HshtfX1F/LzRUNJSTJoGjTzD76itRGwxgzhwYObJuX+9ucue7yd/Rrlk7TmSfYOzCseSWODZz/fn4z9y//H4AZg6ayT0x99Tp6w0GA507d8bX15eysjLi4+MdflRcbm4uhw4dAiA0NJRWrVrV/UmeuA96d4OCIpjxAiQ7eAr75Bl48v+gtAyG9henC0kuY84cGDdOLP+48UY4dsyx3y8xEa6/XpSZGjZMfH9JWzIB1JNVG+DVinVOd98MN12vbTyS3UVGwvLl4OMDa9aIJLCkxDHfa+nSyh74o4+Kkz+uRohvCKvvXE2wTzB70/YyftF48kry7BVmNWuT1nLLt7dgVszc1fMuXh3x6lU9j5ubGz169MDLy4vi4mKHJoG5ubns378fi8VC8+bNiYqKuvy6v9q4ucFbs0T9vfPZ8PDzYmeuI5w6Cw/+U2w+6dxerEOUy0xcipubWO7Rt6/YFDJiBFQMUNvdyZMQFyfq/UVHi9qnchmp9mQCqBffroQX/isWbE0eC3+r26iHpB+xsWKdjJeXSAYnThS9ZntasECsNTSb4e674T//qd/hMR2ad2DVHavw8/Bj06lNjPxyJFlFWfYLGFhxbAXjvh5HUXkRYzqM4dMbP726RKqCp6cnPXv2xN3dnYKCAvbt20dxcbEdI4bs7Gzi4+MpLy/H39+frl27YjTWo9n184X3XoTWYZB6DqY/AyeS7RYvAEeT4IFZkJkF7SPF95PnirukJk1gxQqx9OTsWbHz/087n/J45AgMGgQnTojlJb/8AnVZ/SA5jkslgIqiMG3aNL6/wqrW5ORkpk6dSkxMDGPHjmXLli3VHt+6dSvjxo0jOjqau+++m+RkOzewdVFuhnc+Eyd9KApMGiPOCpVHvbm0uDiR/Hl7w88/iwbUHm9Ds1ns/Js+XZRimD4d5s8X6//qKzYslvX3rKe5d3P+OPsH/T/tz8FzB+v9vIqi8Pa2t5nwzQRKzCVM6DSBH/7yAx4mG3aqXIGPjw+9evXC09OTwsJC9uzZY7dC0ampqcTHx2M2mwkICKBnz5642aNwcmAz+OBliAyH9Ey471nYsa/+zwui4PT9MyuTvw9fhmYB9nluySm1aAEbNohqBKmpMHCgSArt4Zdf4JprRHLZtas4jzhU7iFyGi6TAFosFl555RV+v0INDUVReOSRRwgKCmLp0qVMmDCBGTNmWEtCpKSk8Mgjj3DzzTezZMkSmjdvzsMPP6xJzTCP89kYH/onfFlRYuPBO8RuQHv8tZac3siRsH69aKDj4yEmRkzbXq3kZBgzBl6tmDV9+mlxzq89D3OIDYtl09RNRAZEkpCVwID5A5i/Z/5V//5kFGQwZckUnvj1CSyKhem9pvPd5O/wdLNf3Qg1CfTx8aG0tJR9+/aRnJx81TGXl5dz5MgRjh49iqIoBAUF2S/5U4UGw/zXoXuUOJZtxgvw8ddQVnZ1z1daBv+ZD/94GQqLoG9P+HQ2NG9qv5glp9WiBWzcKNbm5eeLNYFPPSXWB16NkhJ4/nkYO1aUlhowAH77DS5X8lJqeC6RSaSnp3PPPfewfv16/P0vXwpi+/btJCcn89JLL9G+fXseeOABYmJiWFrxl/W7776je/fuTJs2jY4dOzJ79mzOnj3LH380YOkFsxnD50vp+uIHGPYfgSbe8NrTcN9f5MhfIzNgAPzxhziPNytLrAm8+ea6LdguKhJTvF27inWFPj6i9tbrrzvm7dStRTd23r+T4W2Gk1+az33L72PM12M4mmN7mZgycxkf7/qYbh90Y8mhJbgZ3Xhn9Dt8Mv4T3E32Xzzk5eVF7969rbuDExMT2bt3b51GAxVFIT09nZ07d5JWca5fZGQk3bp1w+SI9XNN/eGjV8VaYEWBT77BeNcT+B1OEv+2LWhRVubWv8HCH8V9k8fCuy+I6Wap0WjeHH79VZSEUhSxSaNXLzETUZe30+rVor16+WXx7wceEMllUJBDw5eugkskgAcPHqRly5YsXboUPz+/y35ufHw8Xbt2xcfHx3pfnz592Ldvn/Xx2NhY62Pe3t5069bN+niD+Pk3jB9+ham0DCW6Cyz8ryy/0IhFRsK2bfDcc2Lw94cfRDI3aZKYHq6piomiiLU3L74I7dqJnb75+WI6ZudOUXPQkYKbBPPrXb/yZtybeLl5sfbEWu7YfAcTFk9g6aGlFJYV1hCzwokLJ5i9eTad5nbiwZUPklGYQfcW3dlx3w4e7f9ovdb8XYmbmxvdunUjKioKk8lEbm4ue/fuZd++faSlpVFey7EJJSUlJCcns3PnTg4fPkxJSQleXl7ExMTQtm1bh8aMlyf8c4bYpNEsAMOJZKL++yXGaU/Dj2sgu5Yd2ZkXxBnDd/wdHn9FnCoU2FRsMnnmQblCv5Fyd4cPPhBn9IaEiDbkxhvFRpF58+DcuZq/LitLnOk7cCCMHg2HDolRxcWLRa0/WejZObnESd4jRoxgxIgRNn1uRkYGLVq0qHZfYGCgtcd+pcdrYjab7Xu2aPcoGDGQ05GhhN93OyY3N7F4S7I79f9N67Nhr8RkEtXz//IXmDnTyKpVBpYuFVPCHh4KPXqI6RWTCbKz4eBByMioTDwiIxWee07h3nsVjMaGeTsZMPCP/v9gfMfxvLDxBb499C0rj69k5fGVmAwmurfoTphfGD7uPpwvPM/xrOOczTtr/fpgn2BmDZ7F/b3ux9PNs8H+j0JCQmjatCmnT58mPT2d7OxssrOzATFd7Onpiclkory8nKKiIkqqbNM2mUxEREQQHh6OyWRquPdV3CDoFw3zFmH4cQ3GQwlw6D2UV+ZCeCi0ailOFSkugbNpGJJTrV+qeHqg/OUGlHsmga+PbGtsoJd242qNHSvakDfeMPDuuwZ27zbwwANiNK9jR4XISAgIEJ3KpCQ4fryyrfHyUvjrXxVmzVIIDKzf28mRr7Or/t/VhS4SwOLiYmv1/IsFBwdXG827kqKiIjwuOubAw8PDWgLiSo/X5JgjCij9RZR4ybL3liypRgcOHNA6BJu99BLcfbcXS5cG89tvTTl3zoPdu2H37uqfZzIpDBiQy+jRWcTFZeHmJuoLauGpdk8xucVklicvZ3XKatKK0ohPjyc+Pb56zAYT0c2iGd9qPCNbjsTbzZvDfx7WJmhEwldWVkZZWRmKolBYWEhh4aWjl0ajEXd3d9zd3cnKyiIry747oG0W1w+3/t0I2rKbZnsO45OcBmdSxcdFClq35EJsNzIH9cbcxBsSHFwIzgXpqd24GlOmQFycGytXNmfVqkCOHfPh+HFDjeViOnQoZPToLMaNO09QUDnJyfbZuAau/zprRRcJYHx8PHfffXeNj73//vuMrEP1Wk9PT2tvXlVaWoqXl5f18YuTvdLS0suuLYyKiqpTEmoLs9nMgQMH6NGjh2PWD0mAfl/nmBgxBawokJBg5sgRSE01oCiioHRUlEL37uDt7Qv4Aq01jddsNsMBmDdlHkajkbN5Z9mbtpfMwkwKygoI9A4k3C+c2LBYfNzt+7tkL6WlpeTn51NaWorZbMbd3R0PDw98fX3tu8GjHtT3c/Azj4gRyPPZkHQaQ+o5KCsHdzeUsBBo3xqvZgG0BFpqHbQO6bXduFrDh4s1gVlZZnbvhrQ0A7m54kzh0FCFPn0gMNAT7PyOcuTrXFhY6JjBGx1xjlbrCvr378/Ro/Y5ZzQkJISEhIRq92VmZlqnfUNCQsjMzLzkcfUQ+ZqYTCaHNQKOfG6pkp5f586dxYceqK9zZLNIIptFah1OnXh7e+Pt7a11GDaxvp9bBMqjIh1Iz+3G1QgOFmv8GpojXufG9P9WG5fYBFIX0dHRHDx4sFrB1927dxMdHW19fHeVubSioiIOHTpkfVySJEmSJEnvGkUCmJWVRUFBAQD9+vWjZcuWzJw5k+PHjzNv3jz279/PpEmTALjlllvYs2cP8+bN4/jx48ycOZOIiAj69++v5Y8gSZIkSZJkN40iAZw0aRILFiwAxLDvBx98QEZGBjfffDM//fQT77//PmEVFSojIiJ47733WLp0KZMmTSI7O5v333/fsaUcJEmSJEmSGpAu1gDWxfr16694X2RkJF999VWtzzF06FCGDh1q99gkSZIkSZKcQaMYAZQkSZIkSZIqyQRQkiRJkiSpkZEJoCRJkiRJUiMjE0BJkiRJkqRGRiaAkiRJkiRJjYxMACVJkiRJkhoZmQBKkiRJkiQ1MjIBlCRJkiRJamRkAihJkiRJktTIuNxJIA3JYrEAUFRUZPfnNpvNABQWFmIymez+/JIgX+eGIV/nhiFf54YhX+eG4cjXWf27rf4db4wMiqIoWgehV+fPn+fkyZNahyFJkiRJ0lVo06YNgYGBWoehCZkA1kN5eTk5OTl4enpiNMrZdEmSJEnSA4vFQklJCQEBAbi5Nc7JUJkASpIkSZIkNTJy2EqSJEmSJKmRkQmgJEmSJElSIyMTQCdTUlLCc889R2xsLIMGDWLBggVah+SS0tPTefTRR+nXrx+DBw9m9uzZlJSUaB2WS/vrX//Ks88+q3UYLqu0tJR///vf9O3bl2uuuYa3334bucLH/lJTU3nggQfo3bs3I0aM4PPPP9c6JJdSWlrKuHHj2LFjh/W+5ORkpk6dSkxMDGPHjmXLli0aRug6GufKRyf2xhtv8Oeff/K///2PlJQUnnnmGcLCwhg9erTWobkMRVF49NFH8ff3Z+HCheTk5PDcc89hNBp55plntA7PJa1cuZLffvuNiRMnah2Ky3rllVfYsWMH8+fPp6CggH/84x+EhYVx6623ah2aS/n73/9OWFgY33//PQkJCTz55JOEh4cTFxendWi6V1JSwhNPPMHx48et9ymKwiOPPEJUVBRLly5l7dq1zJgxg1WrVhEWFqZhtPonRwCdSGFhId999x2zZs2iW7duxMXFcd9997Fw4UKtQ3MpSUlJ7Nu3j9mzZ9OxY0diY2N59NFHWbFihdahuaTs7GzeeOMNevTooXUoLis7O5ulS5fy8ssv07NnTwYOHMi0adOIj4/XOjSXkpOTw759+3jooYdo06YNI0eOZPDgwWzbtk3r0HQvISGBKVOmcPr06Wr3b9++neTkZF566SXat2/PAw88QExMDEuXLtUoUtchE0AncuTIEcrLy+nVq5f1vj59+hAfH9+oi1XaW3BwMJ9++ilBQUHV7s/Pz9coItf2+uuvM2HCBDp06KB1KC5r9+7d+Pr60q9fP+t9f/3rX5k9e7aGUbkeLy8vvL29+f777ykrKyMpKYk9e/bQpUsXrUPTvT/++IP+/fuzePHiavfHx8fTtWtXfHx8rPf16dOHffv2NXCErkcmgE4kIyODZs2a4eHhYb0vKCiIkpISsrOztQvMxfj7+zN48GDrvy0WC1999RUDBgzQMCrXtG3bNnbt2sXDDz+sdSguLTk5mfDwcJYtW8bo0aO57rrreP/992XH0c48PT15/vnnWbx4MdHR0YwZM4YhQ4YwefJkrUPTvdtvv53nnnsOb2/vavdnZGTQokWLavcFBgaSlpbWkOG5JLkG0IkUFRVVS/4A679LS0u1CKlRePPNNzl06BBLlizROhSXUlJSwgsvvMDzzz+Pl5eX1uG4tMLCQk6dOsU333zD7NmzycjI4Pnnn8fb25tp06ZpHZ5LSUxMZPjw4dx7770cP36cl19+mYEDB3LjjTdqHZpLqu3vovybWH8yAXQinp6el7yp1X/LP6CO8eabb/K///2P//znP0RFRWkdjkuZO3cu3bt3rzbaKjmGm5sb+fn5vPXWW4SHhwOQkpLCokWLZAJoR9u2bWPJkiX89ttveHl50aNHD9LT0/nwww9lAuggnp6el8yAlZaWyr+JdiATQCcSEhLChQsXKC8vtx5Nk5GRgZeXF/7+/hpH53pefvllFi1axJtvvsmoUaO0DsflrFy5kszMTOuaVrUzs3r1avbu3atlaC4nODgYT09Pa/IH0LZtW1JTUzWMyvX8+eefREZGVks+unbtykcffaRhVK4tJCSEhISEavdlZmZeMi0s1Z1MAJ1Ily5dcHNzY9++fcTGxgJicXePHj3kWcN2NnfuXL755hvefvttWWLHQb788kvKy8ut/54zZw4ATz75pFYhuazo6GhKSko4ceIEbdu2BcRu96oJoVR/LVq04NSpU5SWllqnJZOSkoiIiNA4MtcVHR3NvHnzKC4utibeu3fvpk+fPhpHpn8yq3Ai3t7e3HTTTbz44ovs37+ftWvXsmDBAu6++26tQ3MpiYmJfPDBB9x///306dOHjIwM64dkP+Hh4URGRlo/mjRpQpMmTYiMjNQ6NJfTrl07hg0bxsyZMzly5AibN29m3rx53HbbbVqH5lJGjBiBu7s7//znPzlx4gTr16/no48+4q677tI6NJfVr18/WrZsycyZMzl+/Djz5s1j//79TJo0SevQdM+gyFLxTqWoqIgXX3yRX3/9FV9fX6ZPn87UqVO1DsulzJs3j7feeqvGx44ePdrA0TQe6ikgr732msaRuKa8vDxefvll1qxZg7e3N7fffjuPPPIIBoNB69BcSkJCAq+++ir79++nefPm3HHHHdxzzz3ydbajTp068cUXX9C/f38ATp06xaxZs4iPjycyMpLnnnuOa665RuMo9U8mgJIkSZIkSY2MnAKWJEmSJElqZGQCKEmSJEmS1MjIBFCSJEmSJKmRkQmgJEmSJElSIyMTQEmSJEmSpEZGJoCSJEmSJEmNjEwAJUmSJEmSGhmZAEqSJEmSJDUyMgGUJEmSJElqZGQCKEmSJEmS1MjIBFCSJEmSJKmRkQmgJEmSJElSIyMTQEmSJEmSpEZGJoCSJEmSJEmNjEwAJUmSJEmSGhmZAEqSJEmSJDUyMgGUJEmSJElqZGQCKEmSJEmS1MjIBFCSJEmSJKmRkQmgJEmSJElSIyMTQEmSJEmSpEZGJoCSJEmSJEmNjEwAJUmSJEmSGhmZAEqSJEmSJDUyMgGUJEmSJElqZGQCKEmSJEmS1MjIBFCSJEmSJKmRkQmgJEmSJElSIyMTQEmSJEmSpEZGJoCSJEmSJEmNjEwAJUmSJEmSGhmZAEqSJEmSJDUyMgGUJEmSJElqZGQCKEmSJEmS1MjIBFCSJEmSJKmRkQmgJEmSJElSI/P/HEx0z92mEikAAAAASUVORK5CYII=","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, np.cos(x - 0), color='blue') # specify color by name\n","plt.plot(x, np.cos(x - 1), color='g') # short color code (rgbcmyk)\n","plt.plot(x, np.cos(x - 2), color='0.75') # grayscale between 0 and 1\n","plt.plot(x, np.cos(x - 3), color=(1.0,0.2,0.3)); # RGB tuple, values 0 to 1"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"4D1gzn7JFE7K"},"source":["Similarly, the line style can be adjusted using the `linestyle` keyword:"]},{"cell_type":"code","execution_count":15,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":875,"status":"ok","timestamp":1683111435610,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"MtUX1U3sFE7K","outputId":"41bbff19-bd41-40ce-a681-396d5478456b"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"dca2392f5d0046e08861e2c097658994","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, x - 0, linestyle='-') # solid\n","plt.plot(x, x - 1, linestyle='--') # dashed\n","plt.plot(x, x - 2, linestyle='-.') # dashdot\n","plt.plot(x, x - 3, linestyle=':') # dotted\n","plt.plot(x, x - 4, ':k'); # dotted black (use format string here!)\n","# You can save some keystrokes by combining these linestyle and color codes into a single non-keyword argument"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"DGye9qCdFE7L"},"source":["Finally, you can also adjust the width using `linewidth` keyword:"]},{"cell_type":"code","execution_count":16,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":658,"status":"ok","timestamp":1683111452294,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"BAlbHeAnFE7L","outputId":"7beedb69-8552-4adb-ff77-6e8683dab8d6"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"37d6f250b11a4e3a9a70eac2515dca49","version_major":2,"version_minor":0},"image/png":"iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACguElEQVR4nOzdd3hU15n48e/MqPcuEAKEBKJZINExYIoxGFfcS9ziuCRxycaxvcHe3TTn57XjJOu2mzgxjh3bca+4YNN7sQAhqpBER6j3rpn5/TGSQGbulYCZO2dm3s/z8CTWGe68uoyO3nvKe0x2u92OEEIIIYTwG2ZPByCEEEIIIYwlCaAQQgghhJ+RBFAIIYQQws9IAiiEEEII4WckARRCCCGE8DOSAAohhBBC+BlJAIUQQggh/IwkgEIIIYQQfkYSQCGEEEIIPyMJoBBCCCGEn5EEUAghhBDCz0gCKIQQQgjhZyQBFEIIIYTwM5IACiGEEEL4GUkAhRBCCCH8jCSAQgghhBB+RhJAIYQQQgg/IwmgEEIIIYSfkQRQCCGEEMLPSAIohBBCCOFnJAEUQgghhPAzkgAKIYQQQvgZSQCFEEIIIfyMJIBCCCGEEH5GEkAhhBBCCD8jCaAQQgghhJ+RBFAIIYQQws9IAiiEEEII4WckARRCCCGE8DOSAAohhBBC+BlJAIUQQggh/IwkgEIIIYQQfkYSQCGEEEIIPyMJoBBCCCGEn5EEUAghhBDCz0gCKIQQQgjhZyQBFEIIIYTwM5IACiGEEEL4GUkAhRBCCCH8jCSAQgghhBB+RhJAIYQQQgg/IwmgEEIIIYSfkQRQCCGEEMLPSAIohBBCCOFnJAEUQgghhPAzkgAKIYQQQvgZSQCFEEIIIfyMJIBCCCGEEH5GEkAhhBBCCD8jCaAQQgghhJ+RBFAIIYQQws9IAiiEEEII4WckARRCCCGE8DOSAAohhBBC+BlJAIUQQggh/IwkgEIIIYQQfibA0wF4s46ODmprawkODsZsllxaCCGE8AY2m43W1laio6MJCPDPVMg/v2sXqa2t5dChQ54OQwghhBDnIC0tjfj4eE+H4RGSAJ6H4OBgwPEBCg0Ndem1rVYrBQUFZGZmYrFYXHptcYrcZ2PIfTaG3GdjyH02hjvvc3NzM4cOHer+Pe6PJAE8D13TvqGhoYSFhbn02larFYCwsDDpYNxI7rMx5D4bQ+6zMeQ+G8OI++zPy7f89zsXQgghhPBTkgAKIYQQQvgZSQCFEEIIIfyMJIBCCCGEEH5GEkAhhBBCCD8jCaAQQgghhJ+RBFAIIYQQws9IAiiEEEII4Wd8LgFsa2vjiiuuYPPmzZqv2bNnDzfccANjx47luuuuY9euXT3alyxZwty5cxk7diwPPPAAVVVV7g5bCCGEEMIwPpUAtra28sgjj3DgwAHN1zQ1NXHfffcxYcIEPvroI3Jycrj//vtpamoCYOfOnTz55JM8+OCDvPvuu9TV1bFo0SKjvgXvZW2HljrH/wohhLvY7Y6+pr3Z8f+FEOfEZ46CKyws5Be/+AX2XjqEL7/8kuDgYB5//HFMJhNPPvkka9as4euvv+baa6/lzTffZMGCBSxcuBCAZ599ltmzZ3P06FEGDhxowHfiBex2OL4NCpfBobVQUQANZUDnvQ+KgKSR0D8bMudD+iywBHowYCGE16o7Afu+gMPrHf1OfQlY2xxt5kCITYOUHEibDiOvhLA4j4YrhLfwmQRwy5YtTJ48mZ///OdkZ2drvi4vL4/x48djMpkAMJlMjBs3jh07dnDttdeSl5fHvffe2/36/v37k5KSQl5eniSAHa2w/U3Y+nco26P9urYGOLbV8Wfr3yA0DsbfCVMfhPAE4+IVQnivg2tg48tw4Buw25y/xtYOlQccf/Lfgy9+AcMXwEWPQv+xxsYrhJfxmQTw1ltv7dPrysvLGTp0aI+vxcfHd08bl5WVkZSUdEb7yZMnNa9ptVq7D612hbK6Fl5eVURFRR0jqw4wZmAMOQNjiAzx0Cia3Q57P8W8/DeYag6f/d9vroJ1f8a++a/Ypz6Efdq/QUCwy8M8F13/bq789xNnkvtsjL7cZ5vNzt6T9eQdreFQZRN1Le2YTSbiI4IYlhTBhMGxpMSEGhXymcr2YF72X5iKVpz937W1w97PYO9n2IdfgW3+/4PoVJeHKJ9nY7jzPsu/nQ8lgH3V3NxMUFBQj68FBQXR1uaYUmhpadFtd6agoMClMX5b3MSbuXUAfF1UBECACcanBDMvPYyxyUHdI5juFtBaw+C854gp3XDe1zK1N2Fa8wzN2/7Foex/pyl2pAsidI38/HxPh+AX5D4bw9l9rmy28lVhE2sON1PZrDGi1ikjNoA5Q8KYPTiU4ABj+hrsVpIL3yVl/z8w2TvO+3Km/UugcDnHR91H+eCrwA19pnyejSH32T38LgEMDg4+I5lra2sjJCREtz00VPuJODMzk7CwMJfFOGK0lQEDjrHjwBHag6LYcbSWI1VNbD7eyubjrYwfHMOiS0eQMyjGZe/p1NFNmN//MabGMpdeNrThCCM2/Bv2+U9jH/9Dt3TMfWW1WsnPzycrKwuLxeKxOHyd3GdjOLvP9S3tPL+8kLe2HKWtw5H4RQRbyB4Yw/DkSGLCArHa7JTXt5J/vI7dJXUUVXdQVF3HZwdaefjiodw4PhWz2Y0/p02VmD/4IabD61x6WYu1mUH5z5NqPYL9yhcgKNwl15XPszHceZ+bmppcPnjjbfwuAUxOTqaioqLH1yoqKrqnfbXaExMTNa9psVhc+uEMt1i4dfJgRgVXk509FovFwr6Tdbyz5Sj/2nKE3MM13PDKJu6ZPoRfzBtOSKAbOqCd78GnD5xabO1iJls7pq8ehbJdcPmfwOzZTtTV/4bCObnPxui6z6v2l7Hoo3xKalsAmJgWyw+nDWHOiCTNfqOyoZWPtx/ntfWHOF7TzJOf7OazvBKeu2EsA+Nc96DbrXw/vH0jVB9y/bU7mfd87NisdtsHEJXisuvK59kY7rjP8u/mY2Vg+mLs2LFs3769e7ew3W5n27ZtjB07trs9Nze3+/UlJSWUlJR0t3vKiH5R/Pqq0ax5fDbX5gzAboe/rT3IDX/ZyImaZte+2aa/wEf3nl3yZwmCiGQIijy798r9B3zwQ8cGEyGES9hsdv70zX7uem0rJbUtDI4P4/W7J/He/VO5LKu/7kNjfEQw98xIZ8WjM/nPK0YRFmRh88EqFjy/lpX7XDsbQMlOWHzpWSZ/JghLcGwu4yxGJct2w+L5UFV8lkEK4Zv8YgSwvLycyMhIQkJCuPTSS/njH//I73//e26++WbeeecdmpubWbBgAQC33HILt99+O9nZ2WRlZfH73/+eWbNmKbMDODkqhD/dlM3lY/rz2Ac7yT9ey1UvrWPxXRMZkxpz/m+w8WVY+kTfXhs7xLG7N/NSSBgOZrNjw0h9CRSthLx/OcrE9GbPp9DRBjf9U8rFCHGe2qx2HvjXDr7ZUwrAHVMHs2jBSEKDzm7EIzjAwo+mD+GSkcn8/L0d5B6u5u7Xt/Kfl4/i7ulDzj/QE9vhjYXQUtP7a4MiYcyNcMG1MGACBDqW7NBaD0e3wK4PIf/93h9aa47A4gVw91cQl36+34EQXs0vRgCnT5/Ol19+CUBERAR//etfyc3N7S778sorr3Sv4cvJyeG3v/0tL7/8MrfccgvR0dE8/fTTngzfqYtHJvPpA9MY0S+SioY2fvC3zXx36DxPLNn+Zt+Sv/BEuOpFeCgXpv/cUfPP3PlRMpkcUyw5P4C7lsAPv4Z+Wb1fs+Ar+OSnYNNfnC6E0NbU1sHT66r5Zk8pQQFm/njDWH579QVnnfydblB8GP+6dwq3TBqI3Q6/XbKHF5drF9vvk8oiePO63pM/kxkm/wR+lgdX/MlR668r+QMIjoShF8PC/4WHd8DYPlSDaDgJ/7wG6rUrOwjhD0z23ionC01NTU3s3buXkSNHunQTCDgWv+7YsYPs7GzdtQoNrR386B9b2XywitBAC2/fO5mcQbFn/4ZFK+Gt68HWy+67zAWO5C9Ce03kGawdsOYPsPoZuotFa7nwIZj3VN+vfZ76ep/F+ZH77H6tHVZ++NpWNhRVEhZk4e93TuDCDNfV3bTb7by8spDnvnEsnH/kkkwevnjY2V+osQJevaT3qdiYQXDt32HQ5LO7fuEy+Og+aKrUf13yBXD3UgiOOLvrI59no7jzPrvz97e38IsRQF8WERzAP344iRnDEmhut3L3P7ZSXN5wdhcp3QPv3dF78nfRY3Dz22eX/AFYAmD2Irj1PQjsZRfehhch792zu74Qfs5ms/PIe3lsKKokJMDEGz+c6NLkDxxF8x+cM4wnLhsBwJ++LeC9rUfP7iIdrfCvW3pP/gZPh3tXnX3yBzB0Lty3GpJ7mXko3QWf/ESOkxN+SxJAHxAaZOEvt41nTGo01U3t3LF4C2X1LX37yy118O5t0Fqn/7or/gxz/uPUVO+5yJwHd34Oob2MUH72kOPIJyFEnzz1xV6+2FlCoMXE4xfGuLVE1H0XZfDA7AwAFn2cz8r9Z7ExZOmTcGyL/muGXwa3fwTh8eceZMxAxxKUQVP1X7f3M1j7x3N/HyG8mCSAPiI8OIDFd01kcHwYx6qbefDt7XRYe1lPZ7fD5z+DqiL91135PEy42zWBpo6HOz6D4Gjt11hb4d3bobnaNe8phA/7aNsxFq8/CMCz12UxNtn9p+w8Om84144bgNVm56G3t3OworH3v7TrQ8fRkHpGXAE3vO6ak4JCY+C2j2DgFP3XrXgKCpef//sJ4WUkAfQhCRHBLL5rIhHBAWw5WMUflu7X/wu5r8Huj/RfM+c/YPxdLosRgP5j4AfvQUCI9mvqjsGSn8v0jBA69pbU8cTHjlMSfnbxMK4a67oad3pMJhP/fe0YJqXF0dDawU/ezKW5TedorYpC+Oxh/YsOnALXvQoBQfqvOxtBYXDru471fprsjqngxl7WDArhYyQB9DEZiRE8e/0YAP66ppiluzV2ulUcgK8X6V8s53aY8aiLI+w0aApc/bL+a3Z/7CglI4Q4Q31LOz95M5eWdhsXZSae24aM8xAUYObFW3NIiAhi38l6/vPTXc5faLPCx/dDm87a5PihcMu/eu7wdZXQGEcSGKazJrKhFD5/WB44hV+RBNAHXZbVn3s663T9+4c7z1wPaLM6Tvno0FknOHCKY92fO49py7oepv2b/mu+fMytJwQI4a2eWrKXQ5VNDIgJ5fmbsrG486g2DclRIbxwSw5mE3yQe4zP806c+aINL8Lx77QvEhQBN/8LwuLcF2h0qqPOqFmn9O2+JbD9n+6LQQjFSALoo/59wQhGp0RR09TOog/z6VHtZ9P/wdHN2n85LB6uX2xMUeaL/wvSZ2m3tzXAkkfkyVyI0yzbU8q73x3FZII/3TiW2HAXTpuepQszEnhwjmP08T8/3dXzgbNsH6z8vf4FrnweEjPdGGGnwRfC/F5qui79D6kPKPyGJIA+KtBi5k83ZhNkMbN8Xxnv5x5zNFQWwYrf6f/la16B6AHuDxIcZwAv/EvnsU4aipZD/gfGxCOE4qoa2/jlR451f/fOSGdy+nnslnWRB2cPZVR/xwPnEx/tcjxw2my9nyc+4UeOmQCjTLrXcXKRltZa+OrfjYtHCA+SBNCHDe8XySPzHE/Wv/t8D2W1zY7OTW/qd/KPYdhcgyLsFNXfUVxaz9e/hKbzPOlECB/w1Bd7qGhoJTM5gkcuMWDkrA+CAsz86aaxBFpMLNtbyqc7TsD2N/SnfuMyDC36DjiWtFz1kuM0Iy17PoH9XxsWkhCeIgmgj7t3RjpjU6Opb+3gk/cWQ+G32i+OHeKYkvWEkVdAzm3a7U0VsOxXxsUjhII2FlXy0bbjmEzwzHVjCAlU5xSKEf2ieLhzKvjFJZuxfftrnVebYOH/OXbpGi0i0ZEE6vnyUWhrMiYeITxEEkAfZzGbeGphFiGmNi49+mf9F1/9MgT1clKHO817CsKTtNu3/RNKdhoXjxAKaeuwde+0vXXSoHM78tHN7puZTnpiOD9qfQNzi04dz6kPnNspH64y/FIYfa12e+1Rx+YVIXyYJIB+ICs1mv9NW8cgc7n2i8b/ENKmGReUM6GxsOAZnRfYHaVrZEOI8EN/X1dMYVkDCRFBPD5/hKfDcSo4wMKfpsPNllXaL4oeBLOfNCokbZf+N4ToFKRf/z9Qe9ywcIQwmiSA/qCuhNnlb2m3h8Z6bur3+0ZfA8Pma7cfXuc4vkkIP1Je38rLKwoBWLRgJNFhBuzQP0fZ+/+M2aTzkLbgGc9M/X5fZDJcorMhrr0Jlv/WuHiEMJgkgP5g9TOYOpq12y/+L/fW4DobJhNc+jSYdX7Bfftf0KGzs1AIH/M/ywpobLMyJjWaa3IM2qF/LgqXQ/Eq7fbMS2HEZYaF06uc22HAeO32ne/A8Vzj4hHCQJIA+rrKItj2hnZ7/7Ew7k7j4umL+AyY8hPt9upDUrBV+I3Csgbe2XoUgCcuG4nZAwWf+8Rm09+oZQlyTLuqxGzuPablvZTNEsJLSQLo61Y8BXadMzoX/MFRi081Fz2mX6phzR+gXWdUUwgf8d9f7cNqszN3ZDJTFKj5pyn/fTiZr90+6T6IG2JcPH01cBJcoFOLsHglHFpnXDxCGEQSQF92Ygfs/kizOS/iIs/uxNMTEgVz/kO7vb4Etr5qXDxCeMDm4kqW7S3FYjbxywVqbvwAwNoOK7Vr+tURTuPkfzMunrM199cQoHMO8YqnZPOZ8DmSAPqyFdodstVu4hdVV3KgtN7AgM5S9m2OYrFa1v0JWhWOX4jz9KdvCwC4eeJAhiZFeDgaHXnvQM0RzeaX26/iH9trDQzoLMUMhIn3aLcf2ehY3yiED5EE0Fcd36Zb9HlT1KUU2gbwQufOQiVZAmD2E9rtTZWw6S/GxSOEgTYWVbL5YBVBFjMPzB7q6XC0WTtg7XOazU0h/fiHdT5/X1tMY2uHgYGdpemPQJBOkr3idzIKKHyKJIC+au0ftdsswSRe6VisvWTnCbVHAUdfC8kXaLdv+l9oazQuHiEM8j/LHKN/N00cSEpMqIej0ZH/vmNjlobgS54kJSGW6qZ23th42Li4zlZ4PEz5qXZ7yQ4oXGZYOEK4mySAvqh0N+xbot0+8UdkZo5k3qhk7HZ4UeVRQLNZfy1gcxXkvm5cPEIY4PTRv5/M0lkG4Wk2q2NDlpaYwViyb+HBzhHMv6k+Cjj1Af3i0Gv/ZFwsQriZJIC+SK+TsgTDtJ8B8PDFjnM7P995gsKyBiMiOzeZl8KACdrtG16Ejlbj4hHCzZ5f7hj9u3Fiqtqjf7s+gqoi7fYZvwBLIFdnpzA4Poyqxjbe2qzwKGBoTHf/6NSRDXBkk2HhCOFOkgD6mopC3Z2/jLsdIvsBcMGAaC7pHAX835UKjwKaTHDRo9rt9Sdg57vGxSOEG313qIpNxVUEWkz8dJbCa//sdlinc7549CAYewsAAaetY3xlTTHNbTqlqTxt0n0yCij8giSAvmbDC2C3OW8zB5zxdPvQHEen/FneCU7UKFxXb9h8SBqt3b7ufxzTUUJ4uVfWFANwbY7io39FK6Bst3b7jJ9DQFD3f16TM4DU2FAqGtr4cNsxAwI8R8GRjiRQy4GljmU2Qng5SQB9SWOl/kjYmJshZlDPL6XGMCU9jg6bnX9sOOTe+M6H2QzTf67dXlUEez83Lh4h3KC4vIFv95YCcO9FChZNPt3Gl7TbIlMg+wc9vhRoMXPPdMf39Oq6g1htCu+onfxjCNBOvk0bnjcwGCHcQxJAX/LdYuhocd5m0k6g7rsoHYC3Nx+hrqXdXdGdv9HXQGyadvum/zMsFCHc4W9rD2K3w9yRSQxNivR0ONpO7nKMAGqZ+gAEBJ/x5RsmDCQ6NJCDFY18u6fUjQGep/AEGK99RKZpzycENpcbGJAQricJoK/oaIWtf9NuH3klJDhfTzQrM4lhSRE0tHbwzhbtYq4eZzlzCruHo5vk4HbhtcrrW7unRu+7SOGdv6A/+hccBePucNoUHhzAbVMcsxB/W1vsjshcZ+qDjmUzTphsHSQe+tTggIRwLUkAfcWuj6BB54l6ygOaTWaziXtnOEYBF687RFuHxhpCFYy9Vf+MYCkMLbzUGxsdP3vZA2OYmBbr6XC01ZVA/gfa7ePvdBzlqOHOqWkEWczkHq4m93CVGwJ0kZiBMOYmzebEw0ugvcnAgIRwLUkAfYHd7iiIrGXAeMeB5zquzkkhMTKYk3UtfJF/wsUBulBgCEz4kXb77o8cv6CE8CIt7Vbe3OQoj3L/RemYTCYPR6Tju1fBprFUxBzgWD+nIykqhIU5KQD8bc1BV0fnWlN+otkU0F6HKf99A4MRwrUkAfQFh9fDyZ3a7VN+6iiloiM4wMIdUwYDqF2tH2DC3WAJct5m64Ctfzc2HiHO05KdJVQ3tTMgJpR5o/t5OhxtHW36hddHXwvRqb1e5p7OGYdv9pxUu/pAvyxIm6HZbNryVzkeTngtn0kAW1tbeeKJJ5gwYQLTp09n8eLFTl93++23M3z48DP+LFq0CIDa2toz2iZPnmzkt3L29DY/RA2AUVf36TI3TxpEoMXE9iM15B9T+OD2yGS44Hrt9u8WQ7vCv1SE+J43Nh4C4AdTBmExKzz6t/czaCzTbp+qvdTkdJnJkUxNj8dmd2w+U5rOiKapfB8UrzIuFiFcyGcSwGeffZZdu3bx+uuv86tf/YqXXnqJr7/++ozXvfjii6xbt677z8svv0xgYCC33norAIWFhcTExPR4zZdffmn0t9N3tcdh/1fa7ZPuA0tgny6VGBnMggv6A6d+ISlris40U3MV7JEF2sI77Dhaw85jtQQFmLlpwkBPh6Nv66vabQOnQEp2ny91+1THjMM7W4/Q2qFwDc/hCyBmsHa7zDgIL+UTCWBTUxPvv/8+Tz75JKNHj+aSSy7hnnvu4a233jrjtTExMSQmJpKYmEhcXBx//vOfueeee8jKygKguLiYIUOGdL8mMTGR+Ph4o7+lvtv+T7BrdJ6BYbqlDJy5o7NT/izvBNWNbecbnfv0HwuDp2m3f/eacbEIcR7e6Ky/ecWY/sRHnFk6RRmlux1HoWmZdO9ZXe6SUckkRwVT0dDG17tOnmdwbmS2wOT7tdv3fyXrjoVX8okEcN++fXR0dJCTk9P9tfHjx5OXl4fNpr2j9aOPPqK2tpZ77z3VcRUWFpKWlubOcF3H2gHb3tBuH3MThJ7dbsLxg2MZ1T+K1g4b7+cePc8A3UyvUz66CUr3GBeLEOegsqGVJTsdycOdU9M8G0xv9Ea6whMdpabOQqDFzK2THA+c/1R93XHObRAU4bzNbnU8iAvhZZwXOfIy5eXlxMbGEhR0amNAQkICra2t1NTUEBcXd8bfsdvt/P3vf+eOO+4gPDy8++tFRUV0dHRw/fXXU1payoQJE1i0aBFJSUma72+1WrFaXTuF0XU93evu/xpL3XHta4y7C84hrtsmD+SJT3bz5qbD3DV1sLprkobOxxyRjEmj/I3tu8XYL31G9xJ9us/ivMl9du5fWw7TZrUxNjWaC1Iiz/v+uO0+t9ZhznsXrZ7AlnMHdlPAWfc3N45P4cUVB/jucDW7jlUzsr92+RiPCozAdMF1mLc53wBjz/0Htgv/zTFaKFzGnf2G9EU+kgA2Nzf3SP6A7v9ua3M+jbl582ZOnjzJjTfe2OPrxcXFxMXFsWjRIux2O3/+85/58Y9/zPvvv4/F4vyHu6CgwAXfhXP5+fmabUM3P4/WkeUNMSPZf9IKJ3ec9XummeyEB5o4UtXMP5ZuZnz/kLO+hlFS+l9C/wNvOm2zbX+b/ISF2HSOdOqid5+F68h9PsVqt/OPtY7TJC7qDzt27HDZtV19nxMPfsKg9kanbXbM7AqeQPs5xj8pJZgNx1p4/svt/Hi8Vo/meaHhUxmF8wTQVHec4m//Rl3yFIOj8g/Sb7iHTySAwcHBZyR6Xf8dEuI8eVm6dCkXXXQRMTExPb7+xRdfYDKZuv/eCy+8wPTp08nLy2PcuHFOr5WZmUlYWNh5fhc9Wa1W8vPzycrKcp541hzB/PlWzb8fNuOnZGdnn/P731S2l8XrD7OlIogfLTj367hd2mPYD7yFiTNLMQR0NDI2oAh79m2af73X+yxcQu7zmVbtL6eiuZSY0EB+cvkkggPP/7645T7b7Zi3PKzdPnwBoy+cf86Xfyi6ig1/38K6o2384QcXEBmi6q+lbOyFf8VUst1p69DqNdjm69dAFGfHnf1GU1OTWwdvvIGqP2lnJTk5merqajo6OggIcHxL5eXlhISEEBXlfEph7dq1PPjgg2d8PTS052hRfHw8MTExlJZqn7JhsVjc9ktN89o7/glOkh4AgqMxZ10P5xHTrZMHs3j9YVYWlFPZ2E5SlKKjgPFpMGweHFjqtNm87fU+bYRx57+hOEXu8ykfbHMs37hm3ADCQjTqWp4jl97nEzugdJdms2nSvef1XlMyEhiaFEFhWQNf7S7llkmDzvlabjfhh/C58wTQVPgNloaSPtVBFGfHHf2G9EM+sglk5MiRBAQE9JhCyc3NJSsrC7P5zG+xqqqKo0ePMn78+B5fb2hoYOLEiWzatKn7a6WlpVRXV5Oenu62+M+atQO2O5/2BCD7Fgg6vxHJoUmRjBsUg9Vm58Nt2usMlTDhh9ptx3OhJM+4WITog4qGVr7d43iovGmi4qVf9DY4xKXDkJnndXmTycSNExxJ07tbFd94dsF1EBTpvM1ug22yGUR4D59IAENDQ1m4cCG//vWv2blzJ8uWLWPx4sXccYfjQPLy8nJaWlq6X3/gwAGCg4NJTe35pBYREcH48eN5+umn2blzJ7t37+bnP/85M2bMYPjw4YZ+T7oKl+mf+zteJyE6CzdPdDyJv/fdUewqV7sfeomj4LWWHW8bF4sQffDxtuN02OyMHRjDiH6KbnwAR0H1nTrHneXcBk4ess/WNTmpBJhN7DhaQ0Fp/Xlfz22CI2DMjdrt298EncoTQqjEJxJAgEWLFjF69GjuvPNOfvOb3/DQQw8xb948AKZPn96jmHNlZSVRUVFOz9t85plnGDVqFPfddx+33347AwYM4LnnnjPs++iTHWfWN+w2aCokjXDJ21w+pj/hQRYOVjSy5aDCh7ZbAmCczjTvzvccR1gJoQC73c47Wx2nXyhf+HnvEmjVOBXIZIaxt7jkbRIjg5kzwlFpQflRQL0Zh7pjcGiNcbEIcR58Yg0gOEYBn3nmGZ555syyH/v37+/x35dddhmXXXaZ0+tER0fz9NNPuyVGl2iq0j/5Y9wdLnur8OAArhiTwrvfHeXd744yOV3hgtg5t8Gqp3G6LrK5yrFG8CzrlAnhDrmHqykqbyQ00MKVY/t7Ohx923XqjA69BKJSXPZWN00cyDd7Svl4+3H+/dIRBAUoOj7RLwt7yjhMJ7Y5b9/xL0ifZWhIQpwLRX/ChKb8D8DW7rwtMBxGXuXSt7uxc33Sl/kl1LVovK8KogdAxmzt9u06o6ZCGKhrhOvyMf2JDOnbMY0eUXUQDuqMZuVo764/FzMzE0mKDKaqsY1le3WWuCjAnv0D7cY9n0JLnXHBCHGOJAH0Njt0Nn+MXuhYo+JC4wbFMDQpgpZ2G5/nnXDptV1Or1M+8A006BxiL4QBGlo7uk/+uFn1zR96a2fDEiDzUpe+XYDFzPXjvWMziH3UNdjMGsl7R7OcRS68giSA3uTkLv0drXoJ0DkymUzd65Te/+6Yy6/vUiMuh2CNBfV2q2MtoBAe9FV+Cc3tVtITwhk/+OyOaTSUzQZ572i3j70ZAlxbugbgxs6+Zs2Bckpqm11+fZcJjaGmn85Z5LLxTHgBSQC9Sd6/tNti0xwbQNzg6pwUzCbYcbSGQxXOTwNQQmAoXHCtdvuOt0Dl3czC532yo7P2X84Ap5vQlHF0E9Qe0W538fRvl7SEcCalxWG3w2c71J5xqEzVKX59ZANUFRsXjBDnQBJAb2Fth53varePvdUl5RicSYoMYcawRODULzBl6Y2Clu2RmoDCY0pqm9lQVAnAwhydskUq0BstTxkHSSPd9tZd9+bj7Wr3NXWJE7BH9NN+gd4IqhAKkATQWxSvgsZy7fZs15Rj0HLNaZ2y0jUBUydC/FDtdr1RVCHc6LMdJ7DbYWJaLAPjXHt0pEt1tMLuj7Xbx97s1re/PKs/QRYz+07Ws7dE4c0UZgv2LJ2agDv+JTMOQmmSAHqLfJ1irEMughj3Hp80b3QyYUEWDlc2sf1ojVvf67yYTJB9q3b77o/BZjUuHiE6dY1oXZOj+FFhB76FlhrnbSYLjNZZZuEC0WGBzB7hHTMOdr1kuPYIHN1iXDBCnCVJAL1BW5OjIKsWFxVj1RMWFMD80Y7pjk8Un5phzM2AxvqqhlI4tNbQcITYW1LHvpP1BFnMXJ6leO2/fJ3p34w5EJHo9hC6Zhw+3X4Cm03hUbTEEY4pcS16D+5CeJgkgN6g4Cto19h8ERACI64wJIyutTmf552grUPh446iB8BgnR160ikLg3U9NM0ZkUR0mMK1/5prYP/X2u1jbjIkjFnDk4gKCeBkXQubDlYa8p7nTO+e7P7YcXa7EAqSBNAb5H+g3ZY5H0KMOUt0WkY8iZHBVDe1s6ZAZz2iCrKu127b8zm0t2i3C+FCVpv91O7fcYpv/tj7GVhbnbcFhsMI5ycouVpIoIXLxzhGSpWfcRh9jeNYPGeaKuDgKkPDEaKvJAFUXXO1Y02OlqwbDAslwGLmqrGOo58+VnxtDqOuBq1Cra21UKhzT4VwoU3FlZTWtRIdGsis4e6fPj0vert/R14JQeGGhbIw25Esf5V/kpZ2hdftRiY71mFr0XuAF8KDJAFUnGnvZ9pHvwVHO87jNFDX2pxv95SqfTRcWBwMnavdLp2yMEjX5o8rxvQnOMDi4Wh01B6DQ+u028cY97AJMDEtjpToEOpbO1i+V/FTfC7QmXHYuwTaFS5qLfyWJICKM+36ULtx1JUQGGJcMMDolCiGJkXQ1mFj6a6Thr73WdObBi74Ws7rFG7X0m7t/jlRvvbf7o8BjQ0X4UkwZJaBwYDZbOJqL6kJyMgrwaJxMkpbPRQsNTYeIfpAEkCFBTaXw+H12i8wcPq3i8lk4soxjmngL/JLDH//szJ8AQRq1FvraIF9Xxgbj/A7aw9UUN/aQb+oEMYPUvjoN9Cv/Zd1PVgCjIul09XZjr5mTUG52jMOoTEwbJ52+y6ZcRDqkQRQYbEnVmLSeiKPSIa0GcYG1Klrcfa6AxXUNLV5JIY+CQp3nA+sRXYDCzdbstNxnNnlY/pjNit89Fv1YTieq92uN5ruRsOTIx0zDlYby/aUeiSGPtOdcfgGWmqNi0WIPpAEUGFxx1dqN15wHZg9s55oaFIEI/pF0mGzs3S36tPAOqOkxaugscKwUIR/aWm3dictXQ9NytrzqXZbzGD9WnduZDKZuusmfrFT8RmHzEshKMJ5m7UV9n5ubDxC9EISQFXVHCG8dr92u4eeyLtc0fkLbYnqnXLGHAiNc95mt2LaL9PAwj1W7S+jsc3KgJhQcgbGeDocfXrTv6MXOk7Y8ZCu5HnNgXJqmxWeBg4M1a/JuvsTw0IRoi8kAVSUaa/OE3lsmseeyLtc3rkOcENRJVWNCk8DWwIdJWE06N5nIc5D18PR5WP6Y/JgAtWr6kNwYpt2++hrDAvFmczkSDKTI2i32vlW+WngXmYcmqsNC0WI3kgCqCjT3s+0G0ct9OgTOcCQhHBGp0Rhtdn5WvXdwHq/wA6uxdIma3OEazW1nSpdovzRb71N//bPNiwULZdnOR44u9ZUKit9JoRqbPaxtcP+r4yNRwgdkgCqqOYoJr0F2TojWka6ons3sOKd8uBpEBbvtMlktxJzcoPBAQlft3JfOc3tVgbGhTImNdrT4ejTnf69xuMPm+BFG88sgfobz/SSbSEMJgmgivQWC8cMgpQc42LR0TWysbGokooGjeOjVGAJcNTp0hB7YrWBwQh/0L37NyvFC6Z/t2u3j15oVCS6Tt949s1uxaeBR+nMOBStkN3AQhmSAKpozyfabaOuVuKJHGBQfBhjUqOx2eEr1aeBdUZNoypyobnGuFiET2ts7WDFPsf07xWq7/7V25gQm6bE9G+X7o1nqtcfHXIRhGiM+lrbpCi0UIYkgKqpOwFHN2u3j1poWCh90d0p5yk+DZw2Q3NtjsluxVQga3OEayzfV0Zrh420+DBGp0R5Ohx9XjD92+WyzhmH9YUVVKu88SwgCIbrTAPLbmChCEkAVaM3/RuVCgPGGxdLH3R1ylsPVSk+DRyoW6JBdgMLV+k6+m1BluK7f6sOQskO7XbFHjbTEyMY1d+x8Uz5+qN667QLl0FrvXGxCKFBEkDV6C0SHnWVUk/kAKmxYVwwIAqbHfUr9ev9QitaKWtzxHlrabeycr9j+vfS0f08HE0v9Pqa2CHQf6xxsfTRggsc91T5BDBjNgRFOm+ztso0sFCCJIAqqT8Jh3V2pCr2RN5l/igv6ZR11uaYbO2w/2uDAxK+Zt2BCprarPSPDlF/9+++JdptHi7+rGV+ZwK4vrCSepXPBg4IdpxFrkV2AwsFSAKokr2fg9bZv5H9IXWioeH01aVe0ykH6Vfql05ZnKevOx+C5o/up/b0b/1JOLZVu13Rh81hSRGkJ4TTZrWxan+5p8PRpzcNfOBbaGs0LhYhnJAEUCUFOiNQI68Cs5r/XENP65RXenOnXLQC2pqMi0X4lA6rjWV7Hcsg5qs+/btP5wjE6EFKTv+C42zgeaO9ZMZh6MXaZwN3NEPhcmPjEeJ71Mwo/FWDzho6RYo/O+NVnXL6LAjW2JnZ0exIAoU4B1sOVlHT1E5ceBAT0zROg1CFXgI44nIlp3+7zB+dDMDKfWW0tFs9HI2OwFDInK/drvdvIIQBJAFUSUiM869H9odBUwwN5Wx1TQOvUr1TDgiGYfO026VTFueo6+Fn7sgkAiwKd60ttXBwjXa73kkWChibGkNyVDCNbVY2FFV4Ohx9OgXoKfgarAovmRE+T+Fe6uy0trbyxBNPMGHCBKZPn87ixYs1X/uTn/yE4cOH9/izcuXK7vZ//OMfzJgxg5ycHJ544gmam5uN+BZgxi+cf/3S/wazxZgYztGYAdH0iwqhsc3K+kLFO+URl2m3FXwF1g7jYhE+wWazs7TzhIquhyFlFXzjOJfWmdA4GDTV2HjOktls6p5iX7pL8coDQ+eCJch5W0sNHNloaDhCnM5nEsBnn32WXbt28frrr/OrX/2Kl156ia+/dr6mrqioiD/84Q+sW7eu+8+0adMAWLp0KS+99BK//e1vef3118nLy+MPf/iDMd9Exmy45R2ITcNustAamoTtiv9R5jgmPWaziXmdUzPKTwMPvQTMgc7bmqulUxZnbefxWk7WtRAeZOHCjARPh6NPb/fv8MscRycqrisBXLa3FKtNY+OcCoIjYchM7XaZcRAe5BMJYFNTE++//z5PPvkko0eP5pJLLuGee+7hrbfeOuO1bW1tHDt2jKysLBITE7v/BAU5ntLeeOMN7rzzTmbPns2YMWP4zW9+w4cffmjcKODwBfCzPGxPlrHr4rex59xhzPu6wKXdnXIZHVabh6PRERIF6Tqd8v4vjYtF+ISvO4s/zx6RREigwqP17S2OQsRaFJ/+7TJpSBzRoYFUNrbx3aEqT4ejT++e7vsC7AonsMKn+UQCuG/fPjo6OsjJyen+2vjx48nLy8Nm65mIFBcXYzKZGDhw4BnXsVqt5OfnM2HChO6vZWdn097ezr59+9z3DThjMoHJu/55Jg2JIyYskKrGNrYeqvZ0OPp0O+Ul0imLPrPbT51Mofzu34Oroa3BeVtguGMWwgsEWsxcPDIJoHvqXVl69QBrj8LJfONiEeI06o/190F5eTmxsbHdo3gACQkJtLa2UlNTQ1xcXPfXi4uLiYiI4PHHH2fLli3069ePhx56iJkzZ1JXV0draytJSUndrw8ICCAmJoaTJ7WnNa1WK1arazc+dF3P1dd1JxMwZ3giH20/wde7SpiUFuPpkLQNnY/mOE3NEawndkK/C4yMyKd54+e5rwpK6zlY0UiQxcRFw+I9+j32dp9Nez7TfOq3Z8zBZg4CL/k3mjcyiY+2Hefr3SU8sSDT0LqLZ/V5DkvEPGACpuPfOW227f0ce9JoV4bnM9zZb/hiX3S2fCIBbG5u7pH8Ad3/3dbW89Dw4uJiWlpamD59Ovfddx/ffvstP/nJT3j33XdJSEjo8XdPv9b3r3O6goICV3wbTuXne9fTYWZYCwBf7DjKlQNalC6GOzx2FBHVe5y2la5+lZLhdxocke/zts9zX3yw1zGilpUUROHeXR6OxsHpfbZbGbNniWYCeCj0Aqp27HBnWC4VZbUTbDFxoqaFj1d9R3qsxrpeN+rr5zk5KodUjQSwZceH7I2+1JVh+Rxf7DdU4BMJYHBw8BkJWtd/h4SE9Pj6T3/6U26//Xaiox3HNI0YMYLdu3fz3nvv8fOf/7zH3z39WqGhoZrvn5mZSVhY2Hl/H6frmo7OysrCYlF4TdH3jBht5X+2LKei2UZwcgajUjRq7inA1Hg9rPit07b+tdtIzv6zwRH5Lm/9PPfF7zY5Ng1dO3ko2dlnLi0xku59PrIRS1uN079nNwcw6OJ7GRQa4/YYXWnW/u0s3V3KEWsM12YPM+x9z/rznBoGe//mtCmsrojswbEQO9jFUXo/d/YbTU1Nbh288QY+kQAmJydTXV1NR0cHAQGOb6m8vJyQkBCionomIGazuTv565Kenk5hYSExMTEEBwdTUVFBRkYGAB0dHdTU1JCYmKj5/haLxW2/1Nx5bXcIt1iYPjSRZXtLWVlQQdZAhQvijrxSMwE0leZjqTsmnbKLedvnuTdl9S3sOFoLwCWj+inzvTm9zwVfab7elDYdS0S8m6NyvUtG9WPp7lJW7C/nF/NHGP7+ff48J4+E+GFQecD5dQqXwpSfuDg63+GOfkOVn1VP8q5dBhpGjhxJQEAAO06bvsjNzSUrKwvz945P++Uvf8miRYt6fG3fvn2kp6djNpvJysoiNze3u23Hjh0EBAQwYoTxnYu3mtu5OLvrWCxlJWZij9cZNdiv/QtTCHCcRgEwJjWapKiQXl7tYXpHTeqdka2w2cMTMZlg94k6SmoNqtRwrnrbDSyEwXwiAQwNDWXhwoX8+te/ZufOnSxbtozFixdzxx2OEirl5eW0tDjWps2ZM4fPP/+cTz75hMOHD/PSSy+Rm5vLbbfdBsCtt97Kq6++yrJly9i5cye//vWvufHGG3WngEVPc0Y4EsCdx2oprWvxcDT67MN1ikLr1UsTAkfJI4CLRyR7OJJeVBRCZaF2u97PgcLiI4IZN8gxy7C8899CWXoJ4OH10KR4ORvhc3wiAQRYtGgRo0eP5s477+Q3v/kNDz30EPPmOY78mj59Ol9+6ajtNm/ePH71q1/xf//3f1xxxRWsWLGCv//976SmpgJw+eWXc//99/Nf//Vf3H333YwZM4bHHnvMY9+XN0qKCmFsqmOafcU+tTtl3QTwyEZorjEsFuFdWtqtrDvgOPVm7qikXl7tYQeWarf1GwPRA4yLxcW6ysEsV33GYcAECNf4nNhtcOBbY+MRfs8n1gCCYxTwmWee4Zlnnjmjbf/+/T3++4YbbuCGG27QvNZ9993Hfffd5/IY/cnFI5PJO1bL8r2l3DJpkKfD0TZgPO3BcQS2Onn6tnVA0Qq44Frj4xLK21BUQXO7lZToEEb1V3ezE6C/nCHTu3egzh2ZzLNf72d9USVNbR2EBSn6a81sdhxDmfsP5+0FX8PYmwwNSfg3nxkBFGqZO9IxJbausIKWdoXrLZnM1CZP0W4v0Bk5EX6ta/p3zsgkpcsd0Vyjf7zhcO9OAIclRTAwLpS2Dlv3iKyy9GYcCpeDVeOMZiHcQBJA4RYj+0eSEh1CS7uN9YVqd8o1SToJ4IFvwKZwAis8wm63s6Jr/d9Ixdf/Fa1wjGY7E54E/XOct3kJk8nUvQZT+XWAQy6CAI315K21cGSTsfEIvyYJoHALk8nU/YtxmeKdcn3ieOyWIOeNzVVwzHkBV+G/dp+o42RdC2FBFqamK14+RW/3b+Y8x9Skl+uacVi+rwybTeFjHANDHUmgFr21mkK4mPf/5AtldS3OXrGvFLvCZ+vaAkJh8DTtF+j9AhV+qavE0fShCYQEKlxPzGZ1jGJrydQ5p9aLTBoSR0RwABUNrew8XuvpcPRlztdukyUnwkCSAAq3mZIeT1iQhdK6VnYdr/N0OLrsw6RTFn3XlQDOHaX49O+xrdBc7bzNEgTpswwNx12CAsxclOk4ylP53cB6CWBFAVQWGReL8GuSAAq3CQm0MGOYo1P+VvFO2T5snnZj2W6oOWJcMEJpJ2tb2HW8DpPpVM1LZemNXqfNgOAI42Jxs651gKovOSE6FZKztNv1RmyFcCFJAIVbda0DVP6pPDYNEnVOe5FRQNFp+T7HZzl7YAwJEcEejqYX+/XW/3n37t/vmz0iCbMJ9pbUcbxG8VNBZBpYKEASQOFWc0Ykec9RTdIpiz7o2mk6V/Xdv9WHoHyvdrve590LxYUHdZ8KskL1B0695PvQOmitNy4W4bckARRulRARTM7AGMALSjTodcoH10Bbo3GxCCU1t1m7yxp1bXJSVoHOVGLSKIgdbFwsBvGWygMMGAdhCc7bbO1QtNLYeIRfkgRQuF1Xp7xqv+KdcuokCIlx3mZtheLVhoYj1LOpuJLWDhsp0SEMT470dDj6dMu/+NboX5e5nUn5xs5TQZRltoDeumOZcRAGkARQuN2s4YkArC+spLVD4aLKlgAYdol2u5SD8XtdDzGzRih++kdrPRxaq93uY+v/ugxNiiA1NpQ2q42NRZWeDkdfpk4CeOAbsNmMi0X4JUkAhduN6h9FUmQwze1Wthx0cuauSvR+MR74BhSuZyjcy263s3J/OQCzMhM9HE0vDq4Ga5vzttA4SJ1obDwGMZlM3Q+cK1WfcciYA2aNc4sby6Bku7HxCL8jCaBwu9M75VWdv0CVlTEHTBqFfetLoCTP2HiEMg5WNHKkqolAi4lpQzXWbynCpFdKZNg8xxSkj5o93DENvGp/udIF6AmJhsEXarfLNLBwM0kAhSFmdXbKyj+Vh8XBIJ2zgQu/NS4WoZSu0b9JQ+IID9YYuVGB3Y6paLl2u97Uow+YmhFPkMXMsepmisobPB2OPr0ZB0kAhZtJAigMMX1YAhazieLyRo5UNnk6HH16i7MPLDMuDqGUrvV/XSNMqgqpP4ipvsR5o8kCGRcbG5DBwoICmJweB3jBjINeAliyAxoUf2AWXk0SQGGIqJBAxg921OhaVaB4p6a3EeTYFu2jtYTPamrrYHOxY/1q13IGVUWXbdFuHDgJQmMMi8VTvGbGIT4D4jK024tWGBeL8DuSAArDnL42R2lJoyAyxXmb3QbFqwwNR3jehsJK2qw2UmNDyUhU+/g03QRw6FzjAvGgriR9y8EqGlsVLgcD+v8mB2TJiXAfSQCFYWaPcHTKG4oqaGlXuByMyQTD9DplmQb2N12j1rOGJype/qWOiKp87XY/SQDTE8IZFBdGu9XeXbhbWXozDkUrwKZwXym8miSAwjDDkyPpFxVCS7uNTcWK1+jS+0VZuEzKwfgRu93Oyn2OUWvV1/9xcA0mu0bCEJ4E/cYYG4+H9Kg8UKD4jMPgaWDROFO6uQpOSDkY4R6SAArDmEym7lFA5aeB02dp1+hqOAmluwwNR3hOUXkDx2uaCQowMzUj3tPh6NLd/Tt0Lpj9p8vvXnKyr0ztcjBBYZA2Xbu9UGYchHv4T28glDAzs2sdoOKLs0OiYeBk7XZZm+M3ukb/Jg+JIyxI8fIvesmC3rIGHzQlPZ6gADMnals4UKZ4ORhZByg8QBJAYahpQ+MJtJg4VNnEwYpGT4ejb6hOuYxCnZEW4VO61v8pP/1bvg9T3XHnbSYzpM82Nh4PCw2yMDXdMWK7cp/iD5x66wCP50Kj4ktmhFeSBFAYKjIkkAmDu2p0Kd4pD9XplI9ugpY642IRHtHQ2tF9fKHq5V90R4oGTHAUOfczXnMCUfxQiBms0WiH4pWGhiP8gySAwnBesw6wXxZEJDtvs3VIORg/sL6wgnarncHxYQxJCPd0OPr0TqnRG2HyYV2jtlsPVVHf0u7haHSYTDINLAwnCaAwXFenvLG4kuY2hUsc9NYpy+Jsn9f1kDIrU/XyLw1weKN2u5+Uf/m+tIRw0uLD6LDZWV+o+DSqbjmY5WCzGReL8AuSAArDDU2KYEBMKG0dNjYWK16jS8rB+C273d69TGHWCMXX/x1cAzaNEa6wBOifbWg4Kpk13Es2nqXNAEuQ87bGcjiZZ2w8wudJAigMZzKZmNm5NmdNgeIJYPosxwJ6Z+qOQ/k+Q8MRxikobaCktoXgAHP3ZgJl6U3/Dr3Yr8q/fN/p6wCVLgcTHAGDpmq3y4yDcDH/7RWER100rCsBVHwdYFgcpE7Ubpe1OT5rdefu3ynp8YQEWjwcjQ67Xf90Gr3NTH5gSno8wQFmTtZ5ezkYSQCFa0kCKDziwqHxWMwmiisaOVrV5Olw9On9AtUbeRFebe0Bx+j0RZmK7/6tOAC1RzQaTZAxx9BwVBMSaGHSEMcOaOUfOPXWAR7bAs3VxsUifJ4kgMIjokICGTcoBoA1BxTvlPXqAR7e6FiAL3xKS7u1u/zLjGEJHo6mF3oPIQPGQ7ji09cGmNmZxK85oPiSk8QREDXAeZvdJpUHhEv5TALY2trKE088wYQJE5g+fTqLFy/WfO2qVau4+uqrycnJ4corr2T58p5FfSdMmMDw4cN7/GlsVLxosRfymmng/tkQrjEKZGt3LMAXPuW7Q9W0dthIjgpmWFKEp8PRp7cMwU93/37fjM6+ZnNxJS3tXlx5QKaBhQv5TAL47LPPsmvXLl5//XV+9atf8dJLL/H111+f8bp9+/bx4IMPct111/HJJ59w880387Of/Yx9+xyL+UtLS6mvr2fZsmWsW7eu+09YWJjR35LPm9H5VL6hsJJ2q8IlDsxmyNA7FUSmgX3N2s5R6elDFS//0tYEhzdot/tp/b/vy0yOoF9UCK0dtu6RXWXp/ZtJ5QHhQj6RADY1NfH+++/z5JNPMnr0aC655BLuuece3nrrrTNeu2TJEqZMmcIdd9zB4MGD+cEPfsDkyZP56quvACgqKiIxMZGBAweSmJjY/UfpXwJeKmtANDFhgdS3dpB3tMbT4ejTeyovWmFcHMIQa7rX/yk+/XtkA1hbnbeFxkFKjrHxKMpkMnVP5Ss/4zBkJpg1zpxuOAmlu4yNR/gsn0gA9+3bR0dHBzk5pzq78ePHk5eXh+17xTOvueYaHn300TOuUV9fD0BhYSFDhgxxb8ACAIvZxPShXtIpZ8wBNB4Cqg9BZZGR0Qg3Kq9vZW+J45i/aUMVTwCLdI4Iy5gDZoV3LxusazPPWtXXAYZEwcAp2u16/+ZCnAWNxwzvUl5eTmxsLEFBp4poJiQk0NraSk1NDXFxp87AzMjI6PF3Dxw4wMaNG7n55psBxwhgc3Mzt99+OwcPHmTkyJE88cQTukmh1WrFanXtupKu67n6uqqZMTSeJTtLWF1Qzs8uHmr4+/f5PofEYE7JwXRim9NmW+Fy7DFpLo7Od3jT53ltZ/mXUf0jiQ0NUDpmc+FyrccSbOmzsCscu9GmpsdiMsH+0nqOVzXSLzrknK/l7s+zKWMO5sPrnLbZi5Zjm/KAW95XNe68zyr/XBvFJxLA5ubmHskf0P3fbW1tmn+vqqqKhx56iHHjxnHxxY41XsXFxdTW1vLII48QERHB3/72N+666y6++OILIiKcLwYvKChw0Xdypvz8fLddWwWxnUfB7TxWy9rN24gM9sygdF/uc0r4SPrjPAGs2/YJRQHjXR2Wz/GGz/NnW2oAGBZlY8eOHR6NRU9gSwVjyvdqtu9qSqRd4fg9ISMmkMLqdt5esY05Q85/Xbe7Ps+h7SmM0mizH1pP3nebsAecewLrbbyh3/BGPpEABgcHn5Hodf13SIjzH5KKigp++MMfYrfbeeGFFzB3Vsp/9dVXaW9vJzzccfD7c889x8yZM1m5ciVXXnml02tlZma6fJOI1WolPz+frKwsLBbfnsYZtmUdB8oaqA3tz4wx/Q1977O6z7G3wIEz15UCRFfnkZ01GiyBbojS+3nL59lut7Pn61UAXHfhSLIVngI25f1Ls82WMILRU2UDyPfNLz9A4aoiDreFkZ2dfc7Xcfvn2T4Ge+6TmJrOPL/YbGtnbGwjZOhME/sId97npqYmtw7eeAOfSACTk5Oprq6mo6ODgADHt1ReXk5ISAhRUVFnvL60tJQ77rgDgDfeeKPHFHFQUFCP0cTg4GBSU1MpLS3VfH+LxeK2X2ruvLYqZmYmcqCsgfVFlVydk+qRGPp0nwdNhqAIaDuz7p+prQFLyXYYrHOUk1D+81xQWk9ZfSvBAWYmpScoHSsHV2m3ZcxSO3YPmTk8iZdXFbG+sBJMZizm89vc577PswXSZ8OuD5y3HlwNmfPc8L5qcsd9lp8PH9kEMnLkSAICAnpM1+Tm5pKVldU9stelqamJe+65B7PZzJtvvklycnJ3m91uZ+7cuXz00Uc9Xn/48GHS09Pd/n34q67F2WsKKtQ+qzMgyHFguxbZDez1ujYjTRoSp/bxbzab7mYAe/psA4PxHjmDYogIDqC6qZ1dx2s9HY4+vRNcpK8RLuATCWBoaCgLFy7k17/+NTt37mTZsmUsXry4e5SvvLyclpYWAP76179y5MgRnnnmme628vJy6uvrMZlMzJo1ixdffJHNmzdz4MABHn/8cfr168fMmTM99v35uklD4rznrE7plH3aukLHDlHlT/8ozYcm57tZbeZAGHShwQF5h0CLmQszHCejqF95QCeJL9sDdSXGxSJ8kk8kgACLFi1i9OjR3HnnnfzmN7/hoYceYt48xxD59OnT+fLLLwFYunQpLS0t3HDDDUyfPr37z+9//3sAHnvsMebPn88vfvELbrjhBjo6OnjllVdkuNiNQgItTE73lk5ZJwE8sQ2aFC8yKzS1dljZVOxYc9V1coSydB42GuIugKBwA4PxLl5TDiYqBRJHarcXSzkYcX58Yg0gOEYBn3nmme6RvdPt37+/+/87Ox3kdMHBwfzyl7/kl7/8pctjFNouGpbAmoJyVheUc88Mhafb4zMgZhDUHDmzzW5zHAs3eqHhYYnzl3u4mpZ2GwkRwYzoF+npcPTpJIB1iROQ9E9b1xGU245UU9/STmSIwhu3MuaA1k7vohWQfaux8Qif4jMjgMK7dT2VbzlYpf5ZnTIN7JO6RoRmDEtQ++SftkY4skmzuS5xgoHBeJ9B8WGkxYfRYbOzoejMXbZK0e1rVjrWggpxjiQBFEoYluRFZ3X2lgCqvJFFaFp3wEvW/x3eAFbn9U3tYQk0R2U4bROnnNp4pviSk8EXgiXIeVtThWMtqBDnSBJAoQSTydR97qrynfKQi8Ck8aNTexQqC42NR5y3qsY2dp1w7AqdrnDtP0B3lNmePkv7sym6dU0DK78OMCgMBumUlpIZB3EepKcQyuhaeL/mgOIJYGgsDNA59UM6Za+zvrACux1G9IskKUrxExb0Pl9S/qVPpmTEE2A2caSqiUMVjZ4OR58sORFuIgmgUMb0oQmYTFBQ2kBJbbOnw9EnnbJPWdv50KH86F/tcSjfp9lsT59lXCxeLCI4gPGDYwEveODU62uObHKsCRXiHEgCKJQRGx7EmNQYANYWKD41o9cpH1wLHdpnUAu12O32U+v/MhUv/6JX+iNpFEQae5SiNzu9AL3Ski+AcI3PpbXNsSZUiHMgCaBQyszOBfirVX8qHzAegs88ZhCA9kY4tsXYeMQ5Kypv5ERtC0EWM5PS4nr/C56kN7qs91AiztC1DnBjUQVtHQrvpjWb9af2ZcZBnCNJAIVSukZgNhRWYLMpvJvWEujYDKJFOmWvsa7zYWPikFhCgxQu+N7L8W+6J0eIM4xOiSI+PIjGNivbjlR7Ohx9suREuIEkgEIp2QNPndW5+0Sdp8PRp/cLVzplr9G1E3T6UMWnf0/mQbNGiSRLsBz/dpbMZhPTOtd8rlN9N7BeX1O+z7E2VIizJAmgUEqgxcyUdMc03NpCxaeBdY+F2wGNiheZFbR12E47/k3xDSB6o3+DpzpKhoizMr3z33xtoeIJYGQ/SBqt3S7HwolzIAmgUM50b3kqj0uH2CEajXY4uMrIaMQ52H6kmsY2K/HhQYzqr7GmUxWy/s/lupL+/GM11Da1eziaXgzV+TcuXG5cHMJnSAIolDO9c3H2d4eqaW5T+Fg40P/FWyjTwKpb1znyM21oAmaz9x7/JgnguekfHUpGYjg2O2wsVvyBU+/fuHgl2BTvK4VyJAEUyslIDKd/dAhtVhtbDsmxcMJ91nSt/1N9+vfQerBpjFCFJ+lPDwpdM7zlVJBBUyFAo0h5czWU5Bkbj/B6kgAK5ZhMptOmgRVfBzhkBpg0do7Wn4Dy/cbGI/qspqmN/GM1gDes/9Ob/p3tKBUizkl3X6P6OsDAUMfZwFpk45k4S9JrCCV1jcisK1R8I0VINKRO1G4vkrU5qtpQVInNDkOTIugfHerpcPTJ+j+3mZweh8Vs4nBlE0ermjwdjj7dGQfZCCLOjiSAQkld5Rn2ltRRXt/q4Wh6IZ2yV+qa8lN+9K/2GFTojCTL8W/nJTIkkJyBMYAXTAPr9TVHN0Frg3GxCK8nCaBQUkJEcPeuzA1FXtwpH14PHYonsH7Ibrd3n/+rfAKo9xCRfIGjRIg4L6dmHBRfcpI0CiKSnbfZOhz9jRB9JAmgUFbXL2bln8pTciA42nlbexMc3WxsPKJXhyubOFbdTKDFxOQh8Z4OR19v6//Eeevqa9YXVmJV+QQik0mOhRMuIwmgUFb3U/mBCuwq76a1BEC63rFwMg2smq7Rv3GDYgkPDvBwNDpsVihepd0u6/9cYmxqDJHBAdQ2t7PreK2nw9EnS06Ei0gCKJQ1MS2OoAAzJ+taKCpXfG2LPJV7la5R5YsyFT/+rUTn+LeAEEdpEHHeAixmpmQ4RoKV3w2st+azYr8cCyf6TBJAoayQQAuT0jqPhVN9GljvqbwkT46FU0iH1cbGIse/R1cJEGXpHfE1aKqjNIhwiVNLThRfBxiZ7Fj7qUWOhRN9JAmgUNrp08BKixsCsWkajXIsnEryjtVQ39pBTFggFwzQWLupCr0pPZn+damuh4Hcw9U0tXV4OJpe6I0CyoyD6CNJAIXSujrlTcWVtFttHo6mF7I2xyusKeg8/i0jAYvSx7/1soFINoC41JCEcAbEhNJutbP5oBefQFS8CmyK95VCCZIACqWN6h9FfHgQjW1Wth+p8XQ4+npLAFXeyOJHutZ4KV/+5fAGsLY5bwtLkOPfXKznCUSKzzgMvhAswc7bmirh5E5j4xFeSRJAoTSz2cSF3nIsXNoMMGn8SNUdg8pCY+MRZ6hraWfH0RrAC87/1VvLlT5Ljn9zA69ZchIYCoN1NgDJNLDoA+lBhPJmdCaAa1XfnRcaAwMmaLdLp+xxG4scdd7SE8JJjQ3zdDj6dNf/yfSvO0wbmoDJBPtL6ymra/F0OPr0Kg/IRhDRB5IACuV1PZXnHa2htrndw9H0Qu8Xs6wD9LiuHZ7Kj/7Vl0LZbu12vV/+4pzFhQcxOsVxAtF6bz6B6MgmxxpSIXRIAiiUlxITSnpiODY73eU7lKXXKR9aC1bFE1gft677/F/F6/8dXK3dlpAJ0QOMi8XPTB/q+GwoX3oq+QII1/gcW9sca0iF0CEJoPAKXdPAyp/VOWA8BEU6b2trgGNbjY1HdDta1cShyiYsZhNT0uM8HY4+vdFiGf1zqxnecgKR2SzlYMR5kQRQeIVp3rI7zxIIQ/SOhZNO2VO6RnTGDYohMiTQw9HosNv113DJ+j+3Gj84luAAM2X1rRwoU/wEIt1yMLLkROjzmQSwtbWVJ554ggkTJjB9+nQWL16s+do9e/Zwww03MHbsWK677jp27drVo33JkiXMnTuXsWPH8sADD1BVpXhNKD8wJSMei9nEocomjlYpvrZF1gEqqXv931DFp3/L90N9ifM2cwCkTTc2Hj8TEmhh0hAvOYFIbwSwbA/UaXyOhMCHEsBnn32WXbt28frrr/OrX/2Kl156ia+//vqM1zU1NXHfffcxYcIEPvroI3Jycrj//vtpanIkFTt37uTJJ5/kwQcf5N1336Wuro5FixYZ/e2I74kKCSR7YAzgBWd16j2Vn9gGzdXGxSIAsNrsrO+q/5ep+AYQvZGb1IkQrLHEQLjMqWlgxZecRKVA4kjt9uJVhoUivI9PJIBNTU28//77PPnkk4wePZpLLrmEe+65h7feeuuM13755ZcEBwfz+OOPk5GRwZNPPkl4eHh3svjmm2+yYMECFi5cyIgRI3j22WdZvXo1R48eNfrbEt/TXaRV9QQwLh2iBzlvs9vg4Bpj4xHsPFZDXUsHkSEBjPHm499k/Z8hukaJNx+soq1D8VM1dGccZMmJ0OYTCeC+ffvo6OggJyen+2vjx48nLy8P2/eOxMnLy2P8+PGYTI4joEwmE+PGjWPHjh3d7RMmnKrl1r9/f1JSUsjLy3P/NyJ0dT2VbyiswGZTeHG2ySSdsmK61o5Oy0ggwKJwt9fRBofWabfL+j9DjOgXSUJEEE1tVrYdUXzEXo6FE+cowNMBuEJ5eTmxsbEEBQV1fy0hIYHW1lZqamqIi4vr8dqhQ4f2+Pvx8fEcOHAAgLKyMpKSks5oP3nypOb7W61WrFarK76VHtc8/X8FXJASSUSwheqmdnYeqybLBSM5brvPQ2Zi2fa60yZ70QpsHR2ORNFPePrzvKZzKm9aRpzaP1NHNmNpb3TaZA+OwtZvLOjE7+n77EsuzIjns7wS1hSUMXFwTI82pe5z6mTMliBMzo4NbCzDWpIP/S4wPi4XcOd9VuLfzsN8IgFsbm7ukfwB3f/d1tbWp9d2va6lpUW33ZmCgoJzjr03+fn5bru2NxoZH8DWE1beX5uPdUSEy67r6vtsaYtjLCZMnDlSaao5wt4NX9Ia7n+13DzxeW5ut7HtsGMUJ669jB071N3UlbLvHfprtNXEZlG8c5dGa0/Sb5y/gUGOdeHf7jzKxYnON56pcp+HxYwiqnKH07aS9W9RmnGTsQG5mCr32df4RAIYHBx8RoLW9d8hISF9em3X67TaQ0NDNd8/MzOTsDDXHitltVrJz88nKysLi8Xi0mt7s8uaD7P1xF6KG4PIzs4+7+u59T7n5zg2fTgxKrgUe/blrn0/hXny87x8bxlWexmD4kK5dLrOUX0KMG/bq9kWnbOw18+89Buu029ICy9vXUVRdTtDho8mOvRU6SDV7rOp4UpYucNp24CW/fR3QV/pCe68z01NTW4dvPEGPpEAJicnU11dTUdHBwEBjm+pvLyckJAQoqKiznhtRUXPTQQVFRXd075a7YmJ2qUjLBaL2zoBd17bG100PAmW7CX3cA1tVggNcs29cct9zpijmQCaD66Cyfe69v28gCc+zxuKHSN+M4Ylqv2z1FwNJ7ZrNpuHXgx9jF/6jfM3IC6coUkRFJY1sPlgNQuyzhybVeY+D7sYVv7OaZPpyCYstjYI1B7EUJ077rMS/24epvBq6L4bOXIkAQEB3Rs5AHJzc8nKysJs7vktjh07lu3bt3dXeLfb7Wzbto2xY8d2t+fm5na/vqSkhJKSku524VnpCeGkRIfQZrWx5ZC6U3mA/oL9g2vA2mFcLH6sa/3fDNXP/z241rFL3JnoQY7d5cJQXZUH1qpeeaDfWAjVON2mowWObDQ2HuEVfCIBDA0NZeHChfz6179m586dLFu2jMWLF3PHHXcAjtHAlpYWAC699FLq6ur4/e9/T2FhIb///e9pbm5mwYIFANxyyy18+umnvP/+++zbt4/HH3+cWbNmMXDgQI99f+IUk8nEdG+p0ZU6CQLDnbe11sHxXOdtwmWO1zRTXN6I2QRTMxRPAHVP/5jlV5uGVHH6sXBK6/VYOClAL87kEwkgwKJFixg9ejR33nknv/nNb3jooYeYN28eANOnT+fLL78EICIigr/+9a/k5uZy7bXXkpeXxyuvvNK9hi8nJ4ff/va3vPzyy9xyyy1ER0fz9NNPe+z7EmeaPsxLDmsPCNI/tUGOanK7roeEsQNjeqzhUpLU/1PO5PR4AswmjlQ1caRSTiASvsUn1gCCYxTwmWee4Zlnnjmjbf/+/T3+e8yYMXz88cea17r22mu59tprXR6jcI1pGfEA7DtZT3l9K4mRwR6OSEfGHDiw1Hlb0QqY9Utj4/EzXQ8JM4Ypfvxb9SGoPqjRaNIf3RFuExEcwLhBsWw5VMXawnJ+ED/Y0yFp03tIKM2HhjKISNJ+jfA7PjMCKPxHfEQwo1Mcm3vWq742R++p/Nh30FJrXCx+xnb68W+qr//TG6HpPxbCNNZ3Cbeb7i3TwDEDIX6YdrscCye+RxJA4ZW6OmXlp4ETMiFKo96f3epY+C/cYveJOqqb2okIDug+R1pZuuv/ZPrXk7r6mg1FlVhVPoEI9E8FkROIxPdIAii80ozOszrXFZZ37+hWksmkPzUj6wDdpmv375T0eAJVPv7NZoXi1drtsv7Po8YMiCYyJIDa5nZ2HVd8xL63dYAq95XCcAr3ikJom5AWS3CAmdK6VgrLGjwdjj45F9gjuqbsLspUfPq3ZAe01DhvCwiFgZONjEZ8T4DFzIWd647Xqb7kJG06mDWW9jechDLtQuPC/0gCKLxSSKCFSUMc66KUnwbWW8BfVezYACBcqqmtg+8OO+pEdtVyU5be+r/BUyEwRLtdGKK7HqDqpaeCI/UfGGTGQZxGEkDhtbo6ZeWfysMTHAv5tUiJBpfbfLCKdqudATGhDEnQqMWoCr3F+TL9q4Su0lO5h6tpalO8gLveZ0ZmHMRpJAEUXqtrcfam4kraOjROUFCFrAM01NqCU7t/TSoXUG5rhKObtdtlA4gS0uLDGBATSrvVzuaDqp9ApLMR5NB66Gg1LhahNEkAhdca2S+K+PAgmtqsbD9S7elw9Ol1ysWrHRsBhMusK+w6/k3x+n+HN4K1zXlbeCIkjTY2HuGUyWTynlNBUrIhJMZ5W0czHNlkZDRCYZIACq9lNpu8pxzMoCmOBf3OtNTAiR1GRuPTTta2UFDagMlE9+J9ZemN/qbPchzxJZTgNfUAzRZIn6ndLjMOopP0LsKrzeg+Fk7xxdkBwZA2Tbtd1ua4TNea0DEDookND/JwNL2Q49+8xrSMBEwm2F9aT1ldi6fD0SfrAEUfSAIovFrXtMzO47XUNGlMpalC1gEaouthYLrqp3/Ul0LZbu12Wf+nlNjwIMYMiAZgXVGlh6Pphd5np2QnNCo+iikMIQmg8GrJUSEMT47Ebof1hap3yjrrAI9uhtZ642LxUT2Pf1N8/Z/e7t+E4RCVYlgoom+6PlPKTwPHpkFcukajXY6FE4AkgMIHzBjmJTW6kkZCRD/nbbYOxw49cV72nqyjoqGNsCAL4wbFejocfXL8m9fp3ghSWIlN9VM1dDeeyYyDkARQ+IAZmV3rACvUPxZOTgVxq67NQJOHxBEUoHD3ZrfL+j8vlDMolvAgC5WNbRyu9eZ6gHIsnJAEUPiASWmOX/bHa5oprmj0dDj65KncrbpGgS/KVHz6t3yf42guZ8wB+huGhMcEBZiZ2rmzPO+k4vX0hswAk8V5W91xqDhgbDxCOZIACq8XGmRhUlrnsXAFik8D6x0LV1EAtccMC8XXNLdZ2XrQUQ9S+fV/eqN/qZMcR3oJJXV9tnaUKr7pLCQaUidot8uMg9+TBFD4hBneUg8wIgmSs7Tb5Vi4c7b5YCVtVhsp0SFkJKp+/Jus//NWXX3N3oo2mtsUL+AuMw5ChySAwid0lfzY6A3HwmXM0m6Tp/Jz1pX8X5SZqPbxbx1t+ht+ZP2f0oYkhDMgJoQOG2w5pPixcHqfpYNrHZ9F4bckARQ+YWS/KBIiHMfCbfPqY+FWgU3xBFZRXev/lJ/+PbYF2jXWqgZHQ0qOsfGIs2IymZg+tGs3sOIzDgPGQ3CU87b2Rji21dh4hFIkARQ+wWw+rVNWfRp40FSwBDtva66Ck3nGxuMDTj/+bdpQxY9/05vmHzIDLAHGxSLOyaklJ4rXHrUEwJCLtNtlxsGvSQIofIbXHAsXGAqDL9Rul3WAZ63r33xMagwxYYof/ybr/7ze1PQ4zMCBsgZO1ip+LJzeZ0rWAfo1SQCFzzj9WLjqRsXXtkg9QJfqXv+n+vFvTVVwfJt2u6z/8woxYUFkxAUCXvDAqfeZOr7N8ZkUfkkSQOEzkqJCGNGv81i4IsWngXs7Fq5N8XqGCrHZ7N1rsZRf/1e8CtAowBszSOf4LqGascmOkWblKw/EpUPMYI1GOxxcbWg4Qh2SAAqf0r02p0DxTjlpNIRrJCvWNji8wdh4vNiekjqqGtsID7KQMyjG0+HoK1qu3ZZxseO0GOEVsvs51vGuK6zAZlP4VA2TSf+BU5ac+C1JAIVPOX0doNLHwpnNvR/VJPpkdWfx76kZCQRaFO7S7HYo1JneH3qxcbGI8zYsLpCIYAtVjW3sKanzdDj6dJecyLFw/krh3lKIszep8wzYE7UtFJUrPo0q6wBd4tTxb4qv/yvfB/UnnLeZLPq7NYVyAswmpqQ7dpyvUX0d4JCLwKTx6772CFQVGxuPUIIkgMKnhASediyc6p2y3ghg+V6oKzEuFi/V2NpB7mFvOf5NJ6lPneg4ukt4lRlDvWTJSWgspIzTbpcHTr8kCaDwOV5zLFxUf0gcqd0uJRp6tflgJe1WOwPjQkmLD/N0OPoKddb/yfSvV5o+zDEC+N3hKpraOjwcTS9kHaD4HkkAhc/pGgna5BXHwkmnfD7WFJza/av08W/tzXBY5/i3DEkAvdHguDBSY0Npt9rZXKx4ORW9JScH14C13bhYhBIkARQ+Z0S/SBIigr3kWLheirTKsXC6utf/qV7/7/AG6NAoGBwaCynZhoYjXMNkMnU/cCq/DjB1IgRFOG9rq4fjucbGIzzOJxJAu93Oc889x5QpU5g0aRLPPvssNp1fnDt27ODmm28mJyeH+fPn8/777/dov+qqqxg+fHiPPwUFBe7+NoSLmM2m06aBFe+UB18IFo2TKxrLoWy3sfF4keM1zRSVN2I2OXYAK01vjVX6LDBbDAtFuNZF3rLkxBIIaTO022UdoN/xiQTwtddeY8mSJbz00ku88MILfP7557z22mtOX1teXs69997LpEmT+Pjjj3n44Yf53e9+x6pVqwCwWq0cOnSIN998k3Xr1nX/SU+XAq3exGvWAQaFw8DJ2u3SKWta15ncZw+MITo00MPR9ELv31Gmf73ahRkJmE1QWNbAiZpmT4ejT5aciNP4RAL4xhtv8PDDDzNhwgSmTJnCo48+yltvveX0tcuWLSMhIYFHHnmEtLQ0Lr/8chYuXMjnn38OwLFjx2hvb2fMmDEkJiZ2/wkIkAPavcn0zt15+cdrqVL+WDjplM/FmgNecvpH3Qko26PdrvfvL5QXHRbI2IExAKxT/YFTb8nJ8e+gucawUITneX0CWFpaSklJCRMnTuz+2vjx4zl+/DhlZWVnvH7GjBk8/fTTZ3y9oaEBgMLCQvr3709wcLD7ghZu1+NYuEIv7pQPb3BsIBA9WG327n9X5ev/6Y3+JY6E6AHGxSLcwmvWAcYPheiBztvsNji01th4hEd5/bBWebnjBy4pKan7awkJjl8IJ0+e7PF1gNTUVFJTU7v/u7Kyki+++IKHHnoIgKKiIgIDA7n//vvZtWsXQ4YM4fHHH2fMmDGaMVitVqxWq8u+p65rnv6/4uxNHxrPvpP1rCko47ILkp2+Ron7nHQB5tA4TM1OdhFaW7EeXOf1o0Suvs87j9VS09RORHAAF/SPVPrnxFS4XPNJ25Y+C7sLY1fi8+wHvn+fp2XE8cJyxwhgW3sHFrO6O9JNQ2Zi3vGm0zZb4XLsmZcZHJE2d36e5WfESxLAlpYWSktLnbY1NTUBEBR0aiF91/9va9Of+mtpaeGhhx4iISGBm266CYCDBw9SW1vLDTfcwMMPP8x7773HnXfeyZdffkn//v2dXsedG0Ty8/Pddm1fl2JuBWDFnhK2D+nQLRPi6fs8JHYscc3Op3vLN7/H8fo4gyNyD1fd5w/2OEbsRydY2JW/0yXXdAu7lbEFyzQTwCLSqNuxw+Vv6+nPs7/ovs82O2EBJmqa2/l41XcMjVN3TWqsJR2tFe1te5eyO+V2Q+PpC/k8u4dXJIB5eXnccccdTtsee+wxwJHsdU3bdiV+oaGhmtdsbGzkpz/9KYcOHeLtt9/ufu3vfvc7WlpaiIhwbJf/9a9/zbZt2/j000/58Y9/7PRamZmZhIW5tgit1WolPz+frKwsLBbZIXguRrRb+e8Ny6lsthE5YBhDk84sgaDKfTZxDZxwngAm1+8mMTvb2IBczNX3+b+3bgbgivEZZGcPOu/ruc2JbVjanZ8Taw8IIX32bRCo3U+dLVU+z77O2X2etmcb3+4to8wcx/XZGR6OUEfmIOy5v8PEmef/hjSdIHtwDMSmGR6WM+78PDc1Nfl9dQ+vSAAnT57M/v37nbaVlpbyhz/8gfLy8u6p3a5p4cRE54vDGxoauOeeezhy5Aivv/46aWlp3W0BAQHdyR846jylp6drjkACWCwWt3W27ry2rwu3WJg8JI61BypYX1TF8P7aR215/D7rnARhKtuNpakCIp1PY3sTV9zn+pZ2th+pAWDm8GS1fz6KV2k2mQZfiCVEoy7befL459lPnH6fLxqexLd7y1hXWMlDF2d6ODIdkYmOupMntjttthxaDQlqJbDu+DzLz4cPbAJJTk4mJSWF3NxTRSxzc3NJSUk5Y/0fgM1m48EHH+TYsWP885//ZNiwYT3ab7/9dl566aUer9+/f7+UgfFSXeVglF+cHZ0KCTq/NHQSCX+zoaiSDpudtPgwBql+/Jtu+RfvXtcpeuqqB5h7uJqGVsWPhdM7h1xKT/kNr08AAW655Raee+45Nm/ezObNm/njH//YY8q4qqqKxsZGAD744AM2b97MU089RVRUFOXl5ZSXl1NTUwPAnDlz+Mc//sHy5cspLi7mt7/9LfX19VxzzTWe+NbEeZqZ6XgI2FhUSUu74ot+9TplORe426r9jmR+1vAzH/CU0lIHx7Zot0v9P58yOD6cwfFhdNjsbFC+8oDOw8fBNWBVPIEVLuEVU8C9+dGPfkRlZSUPPvggFouF66+/nrvuuqu7/frrr+eaa67hoYceYunSpdhsNu6///4e15g0aRL//Oc/ueuuu2htbeWpp56ioqKCsWPH8tprr/WYFhbeIzM5gv7RIZTUtrCpuFLtpCFjDmz5q/O2opVgt4PK590awG63s3q/o7zTzEzF6/8dXAM2jV+kkSmQNNLYeITbzcpM5PWNh1lVUM680f08HY62gZMgMAzam85sa6l1TA8PnHhmm/ApPpEAWiwWFi1axKJFi5y2r1hxakj71Vdf1b2WyWTixz/+seaGD+FdTCYTs4Yn8q8tR1m1v1ztBDBtGpgDnCcNDSehbC8kjzI+LoUUljVworaFoAAzU9LjPR2OvqLl2m0Zc/w+mfdFM4c7EsDV+8ux2+26lQc8KiAY0qbDgW+ctxetkATQD/jEFLAQerqmgdcUKL4OMDiyl2PhdBIKP9E1/TslPZ7QIMUXceuu/9OZ7hdea2p6AkEB5s5zqhs8HY4+WQfo9yQBFD5v2tB4AswmiisaOVLpZMpDJXqJQeEy4+JQ1KoCL5n+rSyC6kMajSbZAOKjQoMclQfg1MOKsvQ+g8e2yrFwfkASQOHzIkMCGT84FjiVQChLr1M+vAFaFR9VcKPG1g62HqwGYNZwxRPAA99qt6XkQJhvFPYWZ+paZqJ8Apg43LEW1Rm7VSoP+AFJAIVf8JpOuX8OhGmcbWttc2ws8FMbiypps9pIjQ0lPSHc0+Ho01pbBTB0rnFxCMN1jU5vOVhFo8rlYEwm3fqjug8xwidIAij8QteI0YaiCrXLwZjN+gmCXmLh41YXdJV/SVR3cT1AWxMcWqfdPuwS42IRhstIDCc1NpQ2q41NxZWeDkef3mex8Fuw2YyLRRhOEkDhF0b0i6RfVAgt7Ta2HKzydDj6dDvlZY5yMH7Gbrd3T9/PylR4JzfAobVgbXXeFhoLA8YbG48wVFflAfCCGYf0WY7KA840lEKpnMHryyQBFH7BZDJ1T80o3ylnzAGTxo9m7VEo32dsPAoormjkaFUzQRYzUzMUL/+iN3WWcTGYFd+9LM5b10PKqoIy7Co/sIVEw6Cp2u1+POPgDyQBFH6j+6lc9Y0gYXEwYIJ2ux+uzVndmbRPHBJLeLDC5Uvtdv1fmsPmGReL8JipGfEEWcwcrWqmuKLR0+Ho011y4n99jT+RBFD4jQuHJmAxmygub+RoleLlYPQSBT98Kl/Vuf5P/fIvhVBzWKOxl0X3wmeEBwcwcYij8sBq1Wcc9PqaY1uhSfElM+KcSQIo/EZ0aCDjB3WVg1G9U9Z5Kj+yyXHOrJ9obrN2L6ZX+iQX0E/OB4yDcI0d3sLnnJoGVryvSRoJUQOct9ltUhTah0kCKPzKzM5p4K7zZJXVbyyEayQ7tnY4uNrYeDxo08FK2jpspESHMCxJ8TO59abMhsruX3/SteRkU3ElzW0KVx4wmfQ3nsk0sM+SBFD4lVPlYCpp7VC4U+61HIz/dMpdU2gzVS//0toAh9drt8v6P78yNCmClOgQ2jpsbDqoejkYnc9m4TIpB+OjJAEUfmVU/yiSIoNparN2nyqhrN6eylXeXehCq7vX/yk+/XtoraNYtzNh8Y4TQITfMJlMzOxcsqD8OsAhF4E50HlbUwWUbDc2HmEISQCFX+lZDkbxaeCM2drlYOpPQNkeY+PxgMOVjRysaCTAbGLaUNXLv/Ry+odZult/c6oeoOJ9TXAkDL5Qu92PZhz8ifRIwu/M7C4Ho/hTeWgsDJys3e4Hu4G7ajaOHxxLZIjGCIUK7HY4sEy7Xdb/+aVpQxMIMJs4VNnEIdXLwcg6QL8jCaDwOzOGJmI2QWFZA8ermz0djj7dTlkn4fARK/Z1nv6h+u7f8v1Qe0SjUcq/+KuI4AAmpHVWHlB9FFBvHeDxXGisMC4WYQhJAIXfiQ4LZFxnOZjVqo8C6o0cHdkILbXGxWKwxtYONhY5Fs/PHal4AlioM0KSOsFR3Fv4pdmdDy8rVF8HmJAJMYM0Gu1SDsYHSQIo/NLsEY5OeaXqnXK/LIjo57zNboXiVYaGY6T1hRW0WW2kxoYyVPnyL3rr/2T6159dPDIZgE1FlTS2dng4Gh0mk/5n1Q+WnPgbSQCFX5rTmQCuL6qktUPh3bQmk35RaB/ulFd2TpldPCJJ8fIv9XB4o3a73jS+8HkZieEMjg+jzWpj7QHFp1F7LQejcOkscdYkARR+aUS/SAbEhNLaYSO/rNXT4ejTPRbON2t02e12lu91JIBzOkdQlFW43FGc25nwROifbWg4Qi0mk6n7gXPFvlIPR9OLITPAEuS8rbnasRZQ+AxJAIVfOr1T/q5E8QQwfRaYA5y3NZyEkh1GRmOI3SfqKKtvJSzIwuQhiq+fK/hau03Kvwjg4hGOh5gV+8qx2RSecQgKh7Tp2u16n3XhdaRnEn7r4s6NBbknWrGrXFQ5JBoGTdVu3/+VcbEYpGv0b/rQBEICLR6ORofNqj8Nn3mpcbEIZU0aEkdEcAAVDa3sPK74xi29GYf9kgD6EkkAhd+akh5PWJCFqhYbu0/UeTocfXqJRIHvJYBdU2UXq77799hWaNI45sscCBlzjI1HKCkowMxFmQkArNir+DRw5nzttrLdUH3YuFiEW0kCKPxWSKCFaRmO0yVW7FN8N/DwBdptJ/Oh9phxsbhZWX0LecccoySzVa//pzf6mjYdQqKMi0UobU7nNPDyfYrXA4xLh4Th2u0yDewzJAEUfu3irsXZqhdpjc+A+GHa7T7UKa/qTMbHpEaTFBXi4Wh6oXff9ZJ24XdmD0/EZHKsby2pVbwAvd5n1weXnPgrSQCFX+s6qzP/eB2ldS0ejqYXw3WmgX2oU+46/aNrk46yqg5C+T7tdln/J04THxFMzsAY4NRnXFl6CeChddCi+JIZ0SeSAAq/lhgZzLA4xxmzK1XvlDN1OuWDa6C1wbhY3KS1w8raA44RwK6dk8rSG/1LGgWxg42LRXiFrqLQK/Yq3tekToSweOdttnYoWm5sPMItJAEUfm98/2AAlqneKQ+cDKGxztusbVC80th43GDLwSoa26wkRQYzOkXx9XN6o64y+iec6NrUtK6wguY2hYsqmy0wTGcziOwG9gmSAAq/NyHFkQCuL6ygpV3hTtkS4PMlGrqLP49IwmxW+PSPllo4vF67Xdb/CSeGJ58qQL+hSPFTQfSWnBz4Rk4F8QGSAAq/lxYdQL/oEJrbrWws0ijpoQrdcjBfe3WnbLfbvWf9X+FysGmc6xqWAAPGGxuP8AqnF6BXfjdwxhydU0Gq4OgWY+MRLucTCaDdbue5555jypQpTJo0iWeffRabzvFYTz31FMOHD+/x58033+xuX7JkCXPnzmXs2LE88MADVFVVGfFtCA8xmUzM6dwMskz1Gl1DL9Y+FaSpwquPajpQ1sCRqiaCAsxMG5rg6XD06a3/y5zvmEITwomuaeAVe8vULkAfHAlpM7Tb939pXCzCLXwiAXzttddYsmQJL730Ei+88AKff/45r732mubri4qK+MUvfsG6deu6/1x33XUA7Ny5kyeffJIHH3yQd999l7q6OhYtWmTUtyI85NRZnYp3yiHRMHiadrsX7wb+ZvdJAGYMTSA8WCPJVYG1Q07/EOdsSno8oYEWTta1qF+AXm8pgw+VnvJXPpEAvvHGGzz88MNMmDCBKVOm8Oijj/LWW29pvr6oqIhRo0aRmJjY/Sc0NBSAN998kwULFrBw4UJGjBjBs88+y+rVqzl69KhR347wgKnpcYQEmimpbWFPieqd8mXabV7cKX+zxzH6eskoxXf/HtsCzdXO2yxBcvqH0BUSaGH6MMcIt/IzDnqnglQUQGWRcbEIl/P6BLC0tJSSkhImTpzY/bXx48dz/PhxysrOXGPR0NBAaWkpaWlpTq+Xl5fHhAkTuv+7f//+pKSkkJeX5/LYhTpCAi1MH9o5DbxH8bU5eouzy/Z45VFNJ2qa2XmsFpPpVKkMZemNsg65CIIjjItFeKWuh5xvdiueAMYMguQLtNu9+IFTgMLzLH1TXu6oGZaUdGrReEKC4+nq5MmTPb4OjtE/k8nEX/7yF9asWUNMTAw//OEPueaaawAoKys74+/Ex8dz8uRJzRisVitWq2sX33ddz9XXFT2dfp/njkhk2d5Svtl9kgdnp3s4Mh1RAzEnjsCkUYTYtncJ9sk/Njgofb19nr/ZXQLAuEExxIUFqPu5t9sx71uC1v5k27D52D0Yu/Qbxjjf+zw7MwGzCfaU1HGovJ6BcWGuDM+lTMPmYy7d5bTNvu8LbJPc19e48/MsPyNekgC2tLRQWur8SampqQmAoKBTu5W6/n9bW9sZry8uLsZkMpGens5tt93G1q1b+c///E8iIiK45JJLaGlp6XGtrus5u1aXgoKCs/6e+io/P99t1xan5Ofnk2S1YQZ2l9TxzfrvSApX98cjJTqH/hoJYGPuuxQETzE4or7R+jx/vMWx0Wp0tJUdO3YYGNHZCak7yOiqYs32XW2ptCsQv/Qbxjif+zwyIZDd5e28vmw7V2SGuzAq1wojnZFajYc3kr95NdbgaLfGIJ9n91D3N9xp8vLyuOOOO5y2PfbYY4Aj2QsODu7+/0D3ur7TLVy4kNmzZxMTEwPAiBEjOHToEP/617+45JJLCA4OPiPZa2trc3qtLpmZmYSFufYJzmq1kp+fT1ZWFhaL7Ch0l+/f54n5m9l8sJrjJDAvO83T4WlLuAsK/+W0KaIqn+xhqRCuzk5avc9zXXM7uz9cAcAdF2czJEHdX4amNd9qttn7ZzP6Qp01UwaQfsMYrrjP1zQdYvcX+9hdG8B/ZGe7NkBXso/BvuO3mBrOHIQxYWNM8DHs2TPd8tbu/Dw3NTW5dfDGG3hFAjh58mT279/vtK20tJQ//OEPlJeXk5qaCpyaFk5MTDzj9SaTqTv565Kens6mTZsASE5OpqKiZ4HOiooKp9fqYrFY3NbZuvPa4pSu+zx/dH82H6zmm71l3HNRhqfD0jZwEkT0g4YzlyaY7DYshUthnPOHJk9y9nleU3iSDpudYUkRDE1W/fSPJZpNppFXKPOzKv2GMc7nPl96QX+e+mIf3x2upqa5g/iIYBdH5yoWx8azXOeVNcz7v4Dx7u1r3PF5lp8PH9gEkpycTEpKCrm5p+qf5ebmkpKScsZaPoDnn3+eu+66q8fX9u3bR3q6Y83X2LFje1yrpKSEkpISxo4d655vQCila3H2d4eqqGxo9XA0OsxmGHG5dvvez42L5Tx1LYSfN1rxzR/Vh+CkzlTUiCsNC0V4v9TYMEanRGGznzoBR1kjdT7bRSugtd64WITLeH0CCHDLLbfw3HPPsXnzZjZv3swf//jHHlPGVVVVNDY2AjB79my2bt3Kq6++ypEjR3j77bf55JNPuPvuu7uv9emnn/L++++zb98+Hn/8cWbNmsXAgQM98r0JYw2MO9UpK1+iQa9TLl4FLYqXswFa2q2s2u/45TdvVD8PR9OLfV9ot8UPg8ThxsUifML80Y7P/NLd2psMlZA2w1GD1BlrGxzQXhoh1OUTCeCPfvQjLrvsMh588EF+9rOfcfXVV/cY5bv++utZvHgxAGPGjOH555/n008/5YorruCf//wnf/zjH8nJyQEgJyeH3/72t7z88svccsstREdH8/TTT3vi2xIecqpTVjwBTJsOITHO26xt+sWKFbGxqJLGNiv9okLIGuDeheTnTW9UdeQVYFL47GKhpK6+Zm1hBY2tGkcLqiAgCDJ1ikJ70YyDOMUr1gD2xmKxsGjRIs0TO1asWNHjv+fOncvcuXM1r3fttddy7bXXujRG4T3mj+7Hn74tYN2BChpaO4hQ9VQKS6CjUn+e880g7FsCWdcbG9NZOr34s9mscALVUAZHNmm3y/SvOAeZyREMjg/jcGUTqwvKuSyrv6dD0jbyCtj5jvO2A99AewsEhhgbkzgvPjECKIQrZSZHkBYfRpvVxur95Z4OR9+IK7TbCjo7ZUXZbHa+9ZbTP/Z/CWgcERiZAik5hoYjfIPJZPKeaeCMiyFAoxpGWwMcXG1sPOK8SQIoxPd4V6c8BwI1ShC1N0LxSmPjOQu5R6qpaGglMiSAKenxng5H317t3b+MuNyxKUeIczC/c/PTin1ltHXYPByNjqAwGKY9c8bez4yLRbiE9FpCODGvMwFc6Q2d8tCLtdv1EhcP+zLfcfrHJSOTCQpQuCtqqXVsqtGitxlHiF7kDIwlISKY+pYONhVXejocfXpLHfZ9CVaF1zGKMyjc6wrhOTkDY0iKDKa+tYMNRRW9/wVPGnmVdtt+NTtlm83O17sco6tKr3sCxw5HW7vzttBYGDzN2HiETzGbTd1LIL7apfiMQ+Z8MGusiW6ugiMbjI1HnBdJAIVw4vRO+WvVO+Vh8/Q75cPrjY2nD7YfraGktoWI4ACmD1PnxBKn9nyq3Za5ACyKbhISXuOyrFNLTjqsCs84hMbAEJ1TPxSecRBnkgRQCA2Xd45MLd19knZv7pT1EhgP+apz+vfikUmEBCpckb+1Qb/G2UidTThC9NHU9HhiwwKpamxj88EqT4ejT2/Jw97PwaZwXyl6kARQCA2ThsSREBFEdVM7G4sUX5ujl4js/UypaWC73d491aX89G/B19DR7LwtMNyxCUeI8xRgMXPpBY5RwCU7SzwcTS9GXA5olGyqPwFHNxsajjh3kgAKoSHAYu7eDfyF8p3yFWDS+HFuLIfD64yNR0fesVqO1zQTFmRhZqb2GdtK2P2xdtvwBRCoURZDiLN0eVYK4AXTwBFJMGiqdvvuj4yLRZwXSQCF0HH5mM5p4D2KTwNHJDlOBtGil8gYrGv6d84I1ad/6/Wnf0dfY1wswudNSY8jLjyIqsY2NhUrPg2s99nf8ynYrMbFIs6ZJIBC6Jg8JJ6EiCBqmtrZoPo08Gid02v2fAZWjZ2sBrLb7XzRmQBervr07/6vwdrqvC0oAobq1EQT4iz1mHHIP+HhaHox6io0p4EbSuGw7Ab2BpIACqHDYjax4AJHovLFTsU75ZFXgUljRK25Cg6uMTYeJ3adqONYdTOhgRZmDU/ydDj6dKd/L5Njr4TLXdE54/D1LsVnHCL79TLjINPA3kASQCF60T0NvLtU7aLQ4fGQrrMbWIFOuaukzuwRiYQGKTz921ILhTrTvxfIWeHC9SYPcUwDVze1q18UWncaWK2NZ8I5SQCF6MXEtDgSIoKpbW5nvepFofU65b1LoKPNuFi+x263syTfS3b/7v8KrBr3KjhKdv8Ktzh9N7DyG89GXqW98aypAg6tNTYecdYkARSiFxazqbtQq/Kd8ogrtItCt9ToH2nmZgVV7RyrbiY8yMLFI5I9Fkef6E3/jrgcAoKNi0X4lSu8pf5oRCIMuUi7XYEZB6FPEkAh+qBrw8I3u0+qPQ0cFgfps7XbPbgbeO2RFsBxzrLS07/NNVC4XLtddv8KN5o0JI74cC+pP6q38Wzv50psPBPaJAEUog8mpMWRFBlMXUsHqwvKPR2OPr31afuWQHuLcbF06rDa2HDU8b5XZacY/v5nZe9n2mf/hkTrJ9hCnKfTp4E/z1N949mVOsdQVnt0xkH0ThJAIfrAYjZx1VhH4vLJjuMejqYXwy8DS5DzttY6OLDU2HiAjcVV1LbaiAsLZPpQxc/+3fmedtuIKyFA494K4SJdfc3Xu07S0q5wTb2wOEifpd2e/4FhoYizJwmgEH20MGcAAMv2lFLfovDURmgMZFys3a6X4LjJZ50jGQsu6EegReFup+ao/uL1C2T6V7jfxLQ4BsSEUt/awfK9ZZ4OR19v08BtjcbFIs6Kwj2xEGoZnRLF0KQIWjts3eVMlDXmBu22gqXQZNxJAy3tVr7ZUwqcGtlQ1i6dEYuIZBgyy6hIhB8zm01cne0lMw4jLgeLxqao9kZH9QGhJEkAhegjk8nEQm/plDMXQFCk8zZbu6GbQVbuK6Oh1UpCmJlxg2IMe9+zZrdD3rva7RdcDxaN9U5CuFjXjMOq/WVUN3qufFOvQmNg+KXa7Tt1fqaER0kCKMRZuDrb0SlvKKqktM74zRR9FhTWeVyTBgM75U93OKZ/pw8MxWzWOD5KBaW7oHyvdvuYG42LRfi9zORIRvWPot166vhEZY25WbuteCXUKz5j4qckARTiLAyMC2PC4Fjsdvhsh+I79MbcpN12dDNUHXR7CHUt7azY71jDNGOQ4ken6a2NTBgO/ccaF4sQwDWdo4CfbFd8xmHoXAiNc95mt8lmEEVJAijEWeqamlF+GjhtOkTqrLnLf9/tIXyd76ibODQxnMHRCk+f2qz6v6TG3AgmhUcvhU+6KjsFkwm+O1zNkcomT4ejLSBIv/yUTAMrSRJAIc7S5Vn9CTCb2H2ijgOl9Z4OR5vZor8ZJO8dx7o3N/og9xgA144bgEnlBOrQOqjXGdHN0rmPQrhJclQI0zIcZZM+Vf2BU28a+OROKNNZXiE8QhJAIc5SbHgQs4YnAfCx6lMzetPAVUVwfJvb3vpQRSNbDlVhNsHVqu/+1RuhGHQhxA42LhYhTnP6jIPdzQ9s5yV1AsSla7fnvWNcLKJPJAEU4hycvjbHalO4U04eDclZ2u15/3LbW3+0zTH6N2NYIv2iFV7/19oAuz/RbpfNH8KD5o9OJjjATFF5I3nHaj0djjaTSf+BM/99x1ILoQxJAIU4BxePTCI6NJATtS2sK6zwdDj69BKY/Pegvdnlb2mz2flwm2N09PrxqS6/vkvt/thRr8wZSxCMXmhoOEKcLjIksPtouPe/O+rhaHqh19fUHZej4RQjCaAQ5yAk0NI9Cvie6p1y1g1g0vhRb6l1S6HWjcWVHK9pJjIkgEtGJbv8+i61/Z/abZnzITTWuFiEcOKmCQMBR+WB5jaFR9Hi0mHgZO12vZ81YThJAIU4RzdMcIxsfbu7VO1CrVH9IWOOdvv2N1z+ll2bP64am0JIoMXl13eZ8v2Okjhacu4wLhYhNExJj2dgnONouK93K14TcKzOZpC9S6Cx0rhYhC5JAIU4R6NTohmdEkWb1aZ+SZhxOonMwTVQVeyyt6pvaeerXY5fUspP/+qNSESmwFCdM5WFMIjZbOKG8Y5RwHe3Kj7jcMH1EBjmvM3WDjtlM4gqfCIBtNvtPPfcc0yZMoVJkybx7LPPYrPZnL72l7/8JcOHDz/jzx13nPoFOWHChDPaGxvlQGtxppsmnuqUld6hl7kAwhK027e/5bK3+mJnCS3tNjISw8keGOOy67qctV1/Z2L2rY5SOkIo4LrxqZhMsKm4isOVCv8+ComC0ddot297w+3lp0Tf+EQC+Nprr7FkyRJeeuklXnjhBT7//HNee+01p6998sknWbduXfefd999l6CgoO4EsLS0lPr6epYtW9bjdWFhGk80wq9dPXYAQQFm9p2sZ9fxOk+Hoy0gSH9qZsdbYO1wyVv9a8sRAG6cMFDt2n8FX0NjuXZ7zg+Mi0WIXgyICWXGsEQA3v/umIej6UXO7dpt5fvg2FbjYhGafCIBfOONN3j44YeZMGECU6ZM4dFHH+Wtt5yPaERGRpKYmNj958UXX+TSSy9l7ty5ABQVFZGYmMjAgQN7vE7pX2TCY6LDArl0tGOHnvKbQfSmgetLoGj5eb/FruO15B2rJchiVn/6d5vO9G/aDP2aZkJ4wI2d644/yD2mdvmpQVMgfph2+zbXrzsWZ8/rE8DS0lJKSkqYOHFi99fGjx/P8ePHKSsr0/27GzduZOvWrTzyyCPdXyssLGTIkCFui1f4nhs7d+h9suM4TW2uGUVzi8ThkDpJuz339fN+i7c2O0b/5l/Qj/iI4PO+ntvUHIXCb7Xb9UYwhPCQS0YlExsWyMm6FlYX6P9+8yiTSf+Bc9dH0KrwKUp+QuHDOfumvNwxhZOUlNT9tYQEx1qnkydP9vj6973yyitcc8019O/fv/trRUVFNDc3c/vtt3Pw4EFGjhzJE088oZsUWq1WrFbXbs3vup6rryt6csV9npwWw6C4MI5UNfHJtmPd6wJVZMq5DfOxLU7b7AVfYas6DNHnNnLX0NrBZ52bYW6ZmNrjnqr2eTZtfRWz3fk6YXtwFLbhl4MisZ4N1e6zr/LUfQ4wwTU5KSxef5h/bjzMzGE663o9LetGzMt/g8nm5KG4vRHbjnewT7hb9xLuvM/yM+IlCWBLSwulpaVO25qaHAdkBwUFdX+t6/+3tWmX5jh69CibNm3iySef7PH14uJiamtreeSRR4iIiOBvf/sbd911F1988QURERFOr1VQUHBW38/ZyM/Pd9u1xSnne59np1p4vQr+tmo/mQEVyi4ZMHdkMMYSisV6ZvFnk91G2Zf/zYmR95zTtZcWNdHYZmVApIWgmsPs2HHkjNeo8Hk2WdvI2vqa5vRHeb9ZHN2939CYXE2F++wPPHGfcyIdCdWq/eUsXf8dyeHq/hpPT5pK7Mm1Ttta177IHkuOY7SwF/J5dg91PzmnycvL67FL93SPPfYY4Ej2goODu/8/QGhoqOY1ly5dysiRIxk6dGiPr7/66qu0t7cTHh4OwHPPPcfMmTNZuXIlV155pdNrZWZmunyTiNVqJT8/n6ysLCwW2YnoLq66z4Mz23hnzyoO1nRA/BCyB8W4LkgXM5XeBNv+4bSt34mlJN3wHASc3dFtdrud/1i7AYC7ZgwjJyetR7tKn2fTzvcwt9Votsdf+jjxSaOMC8iFVLrPvsyT9zkbeLdwK+sKK9lRH8m/Txtu6PuflYiH4F/OE8DQhsNkxzY41ttqcOd9bmpqcuvgjTfwigRw8uTJ7N/v/Im8tLSUP/zhD5SXl5Oa6pi66poWTkxM1Lzm2rVrufjiM2t8BQUF9RhNDA4OJjU1VXMEEsBisbitE3DntcUp53ufEyJDuXJsCh/kHuPtLUeZMCTehdG52OT7NBNAU1Mlln2f6+8YdmL7kWr2nqwnKMDMDRMGat5LJT7Pua9qtw2ehqW/ztnJXkKJ++wHPHWf75iaxrrCSt7PPcYj84arW2x92CUQOwSqDzpttnz3d8iY1etl3HGf5efDBzaBJCcnk5KSQm5ubvfXcnNzSUlJ0Vz/Z7fbyc/PZ9y4cWd8fe7cuXz00UfdX2tqauLw4cOkp8uOQKHv9imDAViys4TKhlYPR6MjeTQMnqbdvuWVs77km5sc071XZPUnJiyol1d70Ikd+iUoJp7b9LcQRrp4ZDIDYkKpbmrni50KnwxiNsOke7Xb930BtYqXtPFhXp8AAtxyyy0899xzbN68mc2bN/PHP/6xx5RxVVVVj0LOx48fp7Gx8YzpX5PJxKxZs3jxxRfZvHkzBw4c4PHHH6dfv37MnDnTsO9HeKexA2MYkxpNm9XGe6rX6dLrlI/nOv70UXl9K5/nnQDgtqmDzzcy99r6N+22iH4w0vkyDyFUYjGbuHXyIAD+uemwh6PpRfat2ieD2G3wnfOavcL9fCIB/NGPfsRll13Ggw8+yM9+9jOuvvpq7rrrru7266+/nsWLF3f/d2Wl4yzC6OjoM6712GOPMX/+fH7xi19www030NHRwSuvvCLDxaJPbuscBXxr82G163SNuAIi+2u3b/l7ny/11ubDtFltZA+MYdygWBcE5yZNVZD/oXb7+LvAEmhYOEKcj5smDiTQYmLH0Rryj9V6OhxtobEw5kbt9tx/QIfCMyY+zCcSQIvFwqJFi9i6dSubNm3i0Ucf7bELc8WKFTz00EPd/z127Fj279/fY61fl+DgYH75y1+ybt06duzYwV/+8pceZWKE0HPV2BRiwgI5Vt3Mt3tOejocbZZAGP9D7fZdH0B97/G3dli7p3/vnq54/cytr0LHmbufATAHOBJAIbxEQkQwl2U5fje9tt75GjtlTNSZcWiqgPwPjItFdPOJBFAIVYQEWvhB59TM39Yq3imPv9OR+DhjbYPNf+31EkvySqhoaKVfVAgLLujn4gBdqL0Ftuh8PyOugCh50BPe5UedD12f5Z2gpFbj4UYF/S7QX3e84UU5H9gDJAEUwsXunJpGkMVM7uFqcg9XezocbZH9YNTV2u3fvapbrd9ut7O4c+ThjgsHE2hRuDvZ+Y7+ub+T7zcuFiFcZExqDJOGxNFhs/OPDYc8HY4+vXXH5XvhgM7JPMItFO6xhfBOSVEhXJ2dAsDf1xZ7OJpeTH1Qu62lFra/qdm8+WAVu0/UERJo5paJg9wQnIvYbLDhJe32ARNg0FTj4hHChe6b4ahQ8fbmIzS0KnwU5YgrIFrnlKT1zxsXiwAkARTCLe7p7JSX7j7JkcomD0ejY8A43UKsbPxfsDr/pfJ/q4oAuG5cKrHhCpd+ObAUKg9ot1/4UJ9OIxBCRXNGJJGeGE59Swfvbj3q6XC0WQJh6gPa7YfXwbG+Vx8Q508SQCHcYHi/SGZmJmKzw6vrFB8FvPBh7bbaI7D74zO+vOt4LasLyjGb4P6LMtwY3Hmy22Hd/2i3x6ZJ6Rfh1cxmE/dMdzxwLl53kA6r8zOulZBzO4TEaLdvkFFAI0kCKISb3HeRo1N+Z+tRyupbPByNjmGXQOJI7fa1zzmmUU/TNfp35dgUBsW79hhElzq4Go5u0m6f+iCYpcST8G7XjhtAfHgQx2ua+ayzJqeSgiP0i63v+QzKvfscbm8iCaAQbnJhRjzZA2No7bDxd5V3BJtMjmlQLeX7YM8n3f9ZXN7Al7scpw/8ZJbCo38Aq5/VbguNdRSpFcLLhQRa+NEMx47gl1YWql2DdPL9YAnWaLTr/8wKl5IEUAg3MZlM/OziYQD8c+NhtY+Hy7oBIlO021c/2z0K+JfVRdjtMHdkEiP6RRkU4Dk4uBYOr9dun3QfBIUbF48QbnTH1DRiwgIpLm9kyU6FRwEjkiD7Fu32XR9C2T7A8bD519xaSusUnkHxYpIACuFGs4YnkjUgmuZ2K6+uU3gUMCAIpv+bdnv5Xtj7KUermvh4+3EAfjJrqPbrVbD6Ge224CiY8hPjYhHCzSKCA/jRNMco4IsrCrGpPAo47Wdg0lp6YYc1z2K32/nF+/l8U9zM8r1lhobnLyQBFMKNTCYTD81xJEpvbDxMTVObhyPSMe5Ox3m4WlY9wwvL9tNutTN9aALjByt87Nuh9XBorXb75PsdU8BC+JA7p6URGRJAYVkDX+1S+CSiuHQYqzcK+BEbNq1n5/FaQiwm5o1ONi42PyIJoBBudsmoZEb0i6ShtYNX1ii8IzgwBKb/XLu9fC8dee8B8Oj84QYFdQ7sdlj2K+32oAiY8lPj4hHCIFEhgdzdOQr4wvIDaq8FvOhR3VFA24r/B8Blw8JIiNBaMyjOhySAQriZyWTi55dkArB4/UG117OMvxMitJ+2fxHwHpcOjyV7YIxxMZ2tvZ/Bsa3a7ZPug7A44+IRwkB3TxtCVEgA+0vru5drKCluiO5awBnt65keUszVw2WdrrtIAiiEAeaNSmb84Fha2m38z7ICT4ejLTBUdxQw1VTBb/rpTK16mrUdlv1auz0wXP/0EyG8XHRYID+d7Vh28qdv9tPSbvVwRDpm6I0CwrOR7xIRKEXa3UUSQCEMYDKZWLRgBADvbj1KYVmDhyPSMf4uiBqg2Zy842VoqjIunrOR+w+o0plmn/YwhMcbFo4QnnDXhWn0jw7hRG0Lr6t8RnDcEMj5gWZzSn0+MSVrDAzIv0gCKIRBJqTFccmoZGx2ePbrfZ4OR1tgKMz5D+321lr9Hbae0lwDq/5buz08SUb/hF8ICbTwi3mOdbovryxUe/PZrEUQqF1MPnXvK2BVOH4vJgmgEAZ6fP5wzCb4Zk8pm4orPR2OtjE3QXKWdvuWv0HpbuPi6YsVT0FThXb77EWOkwiE8APX5AxgRL9I6lo6eGF5oafD0RaVoluIPripBNOm/zUwIP8hCaAQBhqWHMktkwYB8KtPd9Ou6rmdZgvM+612u90KSx4544g4jzmxA757Vbs9fhjk3GFYOEJ4msVsYtFljiMeX994iP0n6z0ckY4LH8YalqjZbFrzB6g+bGBA/kESQCEM9tj84cSGBbK/tF7p9TnlSdNYR7b2C45ugh1vGRaPJpsNvngE7DrJ6CW/AUuAcTEJoYCZmYnMH52M1WbnPz/dhd2uZlkYe1A4b4Tcptlu6miGLx9zlHgSLiMJoBAGiwkL4t8vdWwI+Z9lByhTtCzMb5fs4Tett9KB9i49vv1PaPBwlf4tr8DxXO329Nkw/DLj4hFCIf915WhCAs1sOVjFJzvULAuzZGcJT50Yx377QO0XHVgKBV8bF5QfkARQCA+4ccJAxg6MoaG1Q8kn85X7yvg87wRFpFI95h7tFzZXw+c/89yTeUWhftkXSxBc9hyYpJSE8E8DYkJ5aI7jTPKnluxV7kzy2qZ2fvP5HqxY2DlGp4A7QN47xgTlJyQBFMIDzGYTT1+TRYDZxNLdpXyWp87h7Y2tHfzHJ7sA+NH0ISRe/l8Qlar9F/Z/CTveNii609is8MlPoKNZ+zUXPgwJip9ZLISb3TsjneHJkVQ2tvFfn6m1eevpr/ZS0dBKRmI4V119LeTcrv3ikjzjAvMDkgAK4SGjUqK6n8x/9dluyurVmAr+zee7OV7TzICYUMcJJsERsKCXsi9f/TtUHzIkvm5r/wjHtmi3xwyCGb8wLh4hFBUUYOa5G8ZiMZv4YmcJS3aq8cD57Z5S3tl6FJMJnr52DMEBFrjktxCqcVJPSo6xAfo4SQCF8KCfzs5gdEoUNU3t/PLDfGwePrvzy/wS3vvuGCYT/PHGsYQFdW6cGHE5jLxK+y+21cO7t0O7zmicKxWthJX/T/81V78MQdr1xYTwJ1mp0TzQeULIf36yy+NHUpbVt/DvH+4EHCOUk4Z0Jn1hcXDNXxzLN04XFKlbLkacPUkAhfCgQIuZP944lqAAMyv2lfG3tTqnWLhZSW0ziz7KB+AnMzOYkn7aiRkmE1zxZwjXLtXAyZ3w5aNujhKoPQ4f/gjQSZYn3Q9DLnJ/LEJ4kQdnD2V0ShTVTe089PZ2OjxUhspms/PY+zupamxjZP8ofjEvs+cLMufDbR9iz1xAa2gytlEL4Y5PYMA4T4TrsyQBFMLDRvSL4tdXjgbg2aX7+e6Q8cestbRb+cmb26htbmdMajT/NjfzzBeFJ8CVL+hfaPubsOkv7gkSoLUe/nUzNOkU0Y5Lh7m9LCYXwg8FBZh56dZxRAQHsOVQFc9945lzyZ9ffoDVBeUEBZh5/uZsx9Tv9w25CNtNb7Fr7r+wX7cYUicYH6iPkwRQCAXcMmkgV2enYLXZeeDtbZTUGjSVCtjtdv7jk13sOFpDdGggL96SQ1CARtcw4jLI0a7XBcDXv4RdH7k+UGs7vHenY6RRizkArnkFgsJd//5C+IAhCeE8e/0YAP6yuoivd5UY+v5Ld5/k+eUHAPj9wgvITI409P3FKZIACqEAk8nE/7smi2FJEZTWtfLD17ZS39JuyHu/uu4gH+Qew2yCl28dx+D4XpKnBX+A5At0XmCHj++HwuWuC9La4djxW9TLNef9HgZOdN37CuGDLsvqzw+npQHws3d2kHvYmFmHvSV1PPLuDgDuujCNGybo1P0TbicJoBCKCA8O4LUfTiQxMph9J+v56VvbaOtw7xqdj7cf46kv9gLwxGUjmT4sofe/FBQGN74BwdHar7G2OaZq9315/kF2tMGHd0P++/qvG30NTL7//N9PCD/w5GUjuXhEEq0dNu55/TuKyxvc+n6HKxu5/dUtNLZZmZIex5OXj3Tr+4neSQIohEJSY8N49c4JhAZaWHuggp++lUtrh9Ut7/VVfgmPvu+YTr3rwjR+NH1I3/9yfAZc+1dAp8CytQ3evQ02//XcC0U3VsI/F8KeT/VflzQKrnpRCj4L0UcBFjMv3prD2NRoqpvaufVvmzlY0eiW9zpa1cRtr26moqGVkf2j+OvtEwi0SPrhafIvIIRixqTG8Mod4wkOMLNsbxn3/zOXxtYOl77He1uP8sDb27Da7Fw7bgD/dcUoTGebPA1fAAue1X+N3QpfPY7p4/uwtNWd3fWLV8MrM+Hwev3XRabAD96HYFlLJMTZCAsK4NW7JjIsKYKTdS3c9NeN7D9Z79L3KCxr4Ia/bORoVTOD48N4/e6JRIcGuvQ9xLnxqQTQbrdz991389FH+gvQjx49yl133UV2djaXXXYZ69at69G+YcMGrrjiCsaOHcsdd9zB0aNH3Rm2EGeYMSyRV++cSEigmVX7y7n+Lxs5UXP+G0OsNjvPLd3P4x/uxGaHmyYM5NnrxmA2n+PI2eT7+lRs2bz7Q0av+iGm3H84pnT11ByBj38Cb1wFtb387AVHwW0fQLTOSSVCCE0JEcH8674pjOgXSVl9K9f+73qW7y11ybVX7S/juv/bwMm6FoYlRfDe/VNJigxxybXF+fOZBNBms/HUU0+xfr3+aIHdbueBBx4gISGBDz/8kKuvvpoHH3yQEyccldFPnDjBAw88wLXXXssHH3xAXFwcP/3pT5U7q1X4vunDEnj73ikkRASxt6SOy15Yy1f5575j70RNM3e9toWXVhYCcP/MdP77uiwCzncqZs5/woQf9fqywNZqzF8+Av+TBUufhIKlUFkEdSegZCdsewPevhmez4a8PhwtFxTpGPlLHn1+8Qvh5xIignnnvilMSY+jsc3KPW98x//7ci8t7ee2/KS1w8qfvtnPD/+xldrmdnIGxfDu/VNJjpLkTyUBng7AFUpLS3n00Uc5duwYUVFRuq/dtGkTR48e5Z133iEsLIyMjAw2btzIhx9+yEMPPcT777/PBRdcwN133w3A008/zbRp09iyZQuTJ0824tsRotu4QbF88sA0fvxmLruO1/GTt7Yxf3Qy/37pCNITI/p0jZZ2K29uOsyfvy2gsc1KaKCF/74ui6uzB7gmSJMJLv8jBIbCxpd6f33DScfr+vJaLSHRcNvHkDr+3K8hhOgWExbEP380md98vps3Nx3hlTXFLN9byqIFI7l4ZFKflojY7XbWHKjgqSV7OFDm2FRy6+RB/OrKUc5r/QmP8okEcPfu3fTv35/nn3+e66+/Xve1eXl5jBo1irCwU0dEjR8/nh07dnS3T5hwquBkaGgoo0ePZseOHZIACo9IjQ3jo59M4/nlBfzfqiKW7i5l2d4y5o1K5saJA5maHk9IYM/O1W63U1TeyOd5J3h7yxHK61sBGD84lv++Nothrq69ZTLBvKcgIgm+/RW6p3Scr9g0uOUdSJJdhEK4UqDFzFMLs5iVmcQvP8qnqLyRe974jqwB0dwyaRDzRieTEBF8xt+raWrj610neWfrUXYcrQEgISKIX181mivGpBj8XYi+8okEcM6cOcyZM6dPry0vLycpKanH1+Lj4zl58mSf2p2xWq1Yra7dqdl1PVdfV/TkLffZYoJH5g7jiqx+PLu0gJX7y/lq10m+2nWSIIuJzORI+kWFYDabqGtpp6C0garGU2vtBsSE8MCsDG4Yn4rZbHLf9zvlQUgYgfnjezG11Lr88vYhM7Fd+6rjvFDF/808wVs+z97O1+/z7OEJfPtv0/nrmmJe23CY/OO15H+czxMf55MWH0ZqbCiRIQE0tlo5UtXEocqm7r8bHGDm1kkDeWB2BrFhQed1j9x5n3313+5seEUC2NLSQmmp80WpiYmJPUbzetPc3ExQUM9DpoOCgmhra+tTuzMFBe47Tic/P99t1xaneNN9fnCMhSsHx/NNUTNbTrRQ1Wxj14k6dp3oucvWYoKxycHMGBTChQNDCDBXsnOnzhFqLpNA4PRXGLzzj0SXbXHJFW3mYI6NvJfyIQuh4AhwxCXX9VXe9Hn2Zr5+ny9JhkmXJbD6UDOrDzdzqLaDQ5U9E74ug6IDuGhQCLPSQokNaeVwwR4OuygOX7/PnuIVCWBeXh533HGH07aXX36ZuXPn9vlawcHB1NTU9PhaW1sbISEh3e3fT/ba2tp01xZmZmaeVRLaF1arlfz8fLKysrBYZO2Eu3jrfc4Grp7pmOo9VNlEcXkjpfUtYIew4ADSE8LJTI44Y2rYUFPmYtvzMaZVT2OqKjrny9hGX4d99pMMiE3DRasWfZa3fp69jb/d55mdq59qmtrYdaKOsvpWGlo6CA8OIOn/t3f/MVHXDxzHXwp5nBh9DfW+Hnx3aKZDRchDCL8RaTmttUrDvmWzzFKXOlbLzcBGFrUrSfsjUXdLlqVTv4lrLdsqZ3O2kU0KmHP65cSIfTV3ZLAUuIvg+wfzipl+Vx18uM/7+djuj8/72IfX3tz4vO7z83qHpqYkaeTwYddeyZ/Qn/Pc3t7erztvYkFMFMDc3FydOnUqKutyuVwKBAJ9xlpaWiKHfV0ul1paWq54Pz396ucbxcXF9ds/gf5cN34Vy/M8wZWkCa5rX/xkmWkLpSnz1V3/b106slXXX7jGc3x/y5EkTV0gzVimoX+/1mPn8Hti+fMcS0yb5+TrnSqY5Bzw39sf82zS3+1qYqIARlNmZqb8fr86Ozsje/1qamrk9Xoj79fU1ER+vqOjQydOnNDq1astyQvEvLh49Uz7l/7TPUlZacmKazoi/feY1BKQOlul8CXJObL3AhLXVMmTJ3n+2XtVMQCgXxhRAC9cuCCHw6HExETl5ORo7NixKi4u1sqVK/X555+rvr5ePp9PkvTggw9q+/bt8vv9mjVrlioqKpSamsoVwEA0/O0fUvJiafpiq5MAgNFscyPoayksLFRlZaWk3t2+W7ZsUTAY1IIFC/Thhx+qoqJCbnfvpeqpqal66623VFVVpcLCQrW2tqqiouKPPyYLAABgkLLdHsBDhw793zGPx6OdO3dedR0FBQUqKCiIejYAAIDBwIg9gAAAAPgVBRAAAMAwFEAAAADDUAABAAAMQwEEAAAwDAUQAADAMBRAAAAAw1AAAQAADEMBBAAAMIztngQykLq7uyVJHR0dUV/3L7/8Iklqb29XXFxc1NePXszzwGCeBwbzPDCY54HRn/N8ebt9eTtuoiE9PT09VoeIVT/88IO+/fZbq2MAAIA/IS0tTcnJyVbHsAQF8C/o6upSW1ubHA6Hhg7laDoAALGgu7tboVBIN9xwg+LjzTwYSgEEAAAwDLutAAAADEMBBAAAMAwFcJAJhUIqKSlRdna2brvtNlVWVlodyZbOnz+voqIi5eTkKD8/Xz6fT6FQyOpYtrZ8+XI9//zzVsewrXA4rJdeekkzZszQzJkztWnTJnGGT/SdO3dOK1as0PTp0zV79my98847VkeylXA4rHvvvVdHjx6NjDU3N2vJkiXKysrSPffcoy+++MLChPZh5pmPg9iGDRt0/Phx7dixQ2fPntXatWvldrs1b948q6PZRk9Pj4qKipSUlKRdu3apra1NJSUlGjp0qNauXWt1PFs6cOCADh8+rPnz51sdxbZeeeUVHT16VNu3b9elS5f07LPPyu126+GHH7Y6mq0888wzcrvd2r9/vwKBgNasWaOUlBTNmTPH6mgxLxQK6bnnnlNDQ0NkrKenR6tWrdLEiRNVVVWlgwcPavXq1fr444/ldrstTBv72AM4iLS3t+v999/XunXrNGXKFM2ZM0dPPfWUdu3aZXU0W2lsbFRtba18Pp9uvvlmZWdnq6ioSB999JHV0WyptbVVGzZsUEZGhtVRbKu1tVVVVVUqKyvTtGnTlJeXp6VLl6qurs7qaLbS1tam2tpaPf3000pLS9Ndd92l/Px8VVdXWx0t5gUCAT300EP67rvv+ox/+eWXam5u1ssvv6ybbrpJK1asUFZWlqqqqixKah8UwEHk5MmT6urq0i233BIZ83q9qqurM/pmldE2evRovf322xo1alSf8YsXL1qUyN5ef/113X///ZowYYLVUWyrpqZGI0aMUE5OTmRs+fLl8vl8Fqayn4SEBDmdTu3fv18///yzGhsb9fXXXys9Pd3qaDHvq6++Um5urvbu3dtnvK6uTpMnT9bw4cMjY16vV7W1tQOc0H4ogINIMBjUyJEjNWzYsMjYqFGjFAqF1Nraal0wm0lKSlJ+fn5kubu7Wzt37tStt95qYSp7qq6u1rFjx7Ry5Uqro9hac3OzUlJS9MEHH2jevHm68847VVFRwRfHKHM4HCotLdXevXuVmZmpu+++W7fffrsWLlxodbSYt2jRIpWUlMjpdPYZDwaDGjNmTJ+x5ORkff/99wMZz5Y4B3AQ6ejo6FP+JEWWw+GwFZGMUF5erhMnTmjfvn1WR7GVUCikF198UaWlpUpISLA6jq21t7erqalJe/bskc/nUzAYVGlpqZxOp5YuXWp1PFs5ffq0Zs2apSeeeEINDQ0qKytTXl6e7rvvPquj2dLVtotsE/86CuAg4nA4rvhQX15mA9o/ysvLtWPHDr355puaOHGi1XFsZfPmzZo6dWqfva3oH/Hx8bp48aI2btyolJQUSdLZs2e1e/duCmAUVVdXa9++fTp8+LASEhKUkZGh8+fPa+vWrRTAfuJwOK44AhYOh9kmRgEFcBBxuVz68ccf1dXVFXk0TTAYVEJCgpKSkixOZz9lZWXavXu3ysvLNXfuXKvj2M6BAwfU0tISOaf18peZTz75RN98842V0Wxn9OjRcjgckfInSePGjdO5c+csTGU/x48fl8fj6VM+Jk+erG3btlmYyt5cLpcCgUCfsZaWlisOC+OPowAOIunp6YqPj1dtba2ys7Ml9Z7cnZGRwbOGo2zz5s3as2ePNm3axC12+sl7772nrq6uyPIbb7whSVqzZo1VkWwrMzNToVBIZ86c0bhx4yT1Xu3+20KIv27MmDFqampSOByOHJZsbGxUamqqxcnsKzMzU36/X52dnZHiXVNTI6/Xa3Gy2EerGEScTqceeOABrV+/XvX19Tp48KAqKyv12GOPWR3NVk6fPq0tW7Zo2bJl8nq9CgaDkReiJyUlRR6PJ/JKTExUYmKiPB6P1dFsZ/z48brjjjtUXFyskydP6siRI/L7/XrkkUesjmYrs2fP1nXXXacXXnhBZ86c0aFDh7Rt2zYtXrzY6mi2lZOTo7Fjx6q4uFgNDQ3y+/2qr69XYWGh1dFi3pAebhU/qHR0dGj9+vX69NNPNWLECD355JNasmSJ1bFsxe/3a+PGjb/73qlTpwY4jTkuPwXktddesziJPf30008qKyvTZ599JqfTqUWLFmnVqlUaMmSI1dFsJRAI6NVXX1V9fb1uvPFGPfroo3r88ceZ5yiaNGmS3n33XeXm5kqSmpqatG7dOtXV1cnj8aikpEQzZ860OGXsowACAAAYhkPAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYf4HtL+bo4hAk60AAAAASUVORK5CYII=","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, np.cos(x - 0)) \n","plt.plot(x, np.cos(x - 1), linewidth='5');"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"bZ16GrDVFE7L"},"source":["#### Adjusting the plot: Axes limits"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"doEBWe8TFE7L"},"source":["`Matplotlib` generally provides suitable default axes limits for your plot, but in certain cases, having more control can be advantageous. The simplest method to fine-tune the limits is by utilizing the `plt.xlim()` and `plt.ylim()` functions:"]},{"cell_type":"code","execution_count":17,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":430},"executionInfo":{"elapsed":974,"status":"ok","timestamp":1683111461971,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"AmeUGtD3FE7L","outputId":"4c1700ff-1c2b-4d96-b266-6b0510edf908"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"f391127ec7344d9ebb0b69109fd3382f","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, np.cos(x))\n","\n","plt.xlim(-0.5, 10.5)\n","plt.ylim(-1.5, 1.5);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"S_yNomP4FE7L"},"source":["#### Labeling plots"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"MM5lvqT3FE7L"},"source":["Let's take a quick look at labeling plots. Titles and axis labels are the most basic types of labels — there are methods available to set them quickly. Moreover, when multiple lines appear within a single set of axes, a plot legend can be helpful in labeling each line type. Once again, `Matplotlib` has a built-in method for swiftly creating such a legend, achieved through the `plt.legend()` method:"]},{"cell_type":"code","execution_count":18,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"elapsed":991,"status":"ok","timestamp":1683111480209,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"eeSnyZbMFE7M","outputId":"222c1984-251b-4f2c-ca2e-4eb4877bc330"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"68a29a170504474bb9bea6c531bea91c","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, np.sin(x), '-g', label='sin(x)') # solid green line\n","plt.plot(x, np.cos(x), ':b', label='cos(x)') # dotted blue line\n","\n","plt.title(\"A Sin/Cos Curve\", fontsize=18) # we can also specify the font size\n","plt.xlabel(\"x\", fontsize=14)\n","plt.ylabel(\"sin(x)\", fontsize=14)\n","plt.legend(fontsize=12)\n","\n","plt.axis('equal');"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"R1Wy21smFE7M"},"source":["Note that we can specify color and style of the line simultaneously using the format string. In addition, we use the function `plt.axis('equal')` to force the scaling to be equal on both axes. In addition, the `plt.legend()` function keeps track of the line style and color, and matches these with the correct label!"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"VzRsRA5sFE7M"},"source":["For more anatomy of a figure, you can refer to the following figure (which is created using the code available [here](https://matplotlib.org/stable/gallery/showcase/anatomy.html)):"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"jrlR-871FE7M"},"source":["
"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"namS9s9UFE7M"},"source":["#### `Matplotlib` tips"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"Ga0ODMd1FE7M"},"source":["While many `plt` functions (Functional interface) have direct `ax` method (OOP interface) equivalents (`plt.plot()` → `ax.plot()`, `plt.legend()` → `ax.legend()`, etc.), this does not apply to all commands. Specifically, functions for setting limits, labels, and titles undergo slight modifications. To transition between MATLAB-style functions and object-oriented methods, implement the following changes:\n","\n","
"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"cRWxfRWpFE7M"},"source":["### Simple scatter plots"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"30h-n5UzFE7M"},"source":["Another frequently used plot type is the basic scatter plot. In this case, points are depicted individually with a dot, circle, or other shape, rather than being connected by line segments. It turns out that the same function can also generate scatter plots:"]},{"cell_type":"code","execution_count":19,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":486,"status":"ok","timestamp":1683111554532,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"zhdo6TSPFE7M","outputId":"731d0f53-c135-4792-ff23-95d8ee17182a"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"94c25fc7659944fab824e0f8c5af147d","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(0, 10, 30)\n","y = np.sin(x)\n","plt.plot(x, y, 'o', color='black');"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"sjB7qn2jFE7N"},"source":["The third argument in the function call is a character representing the type of symbol used for plotting. Similar to specifying options like '-' or '--' to control the line style, marker styles also have their own set of brief string codes:"]},{"cell_type":"code","execution_count":20,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":426},"executionInfo":{"elapsed":800,"status":"ok","timestamp":1683111555612,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"qZZNJOYqFE7N","outputId":"0addfcae-1003-4e13-e093-cf35a5a94430"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"a9103713f6d84f1a89d839dc43f5fd00","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","np.random.seed(42)\n","\n","for marker in ['o', '.', 'v', '^', '<', '>', 's', 'd']:\n"," plt.plot(np.random.random(1), np.random.random(1), marker, color='black', label=f'marker={marker}')\n","\n","plt.legend(fontsize=13)\n","plt.xlim(0, 1.8);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"jsMJZjWpFE7N"},"source":["For even greater versatility, these character codes can be combined with line and color codes to plot points accompanied by a connecting line. Furthermore, the size or color of the markers can be customized:"]},{"cell_type":"code","execution_count":21,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":488,"status":"ok","timestamp":1683111556099,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"XwAT_-qUFE7N","outputId":"dda0bb3e-15fd-42be-bbe9-b8d6919d7c0e"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"1ead280b3c1a4ff689534d334b0dd081","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.plot(x, y, '-vb', markersize=15, linewidth=4, markerfacecolor='orange', markeredgewidth=2)\n","plt.ylim(-1.2, 1.2);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"A1cmmkGrFE7N"},"source":["#### Scatter Plots with `plt.scatter()`"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"mqhf4Bm2FE7N"},"source":["A more advanced method for creating scatter plots is the `plt.scatter()` function. The main advantage of `plt.scatter()` over `plt.plot()` is its ability to generate scatter plots **where the properties of each individual point (size, face color, edge color, etc.) can be individually controlled or mapped to data**. To demonstrate this, let's create a random scatter plot with points of various colors and sizes. To better visualize the overlapping points, we'll also use the `alpha` keyword to adjust the transparency level:"]},{"cell_type":"code","execution_count":22,"metadata":{"id":"qa_FRK43FE7O","outputId":"e792b04c-cb20-457e-87a9-98963d2bf3c6"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"39e9dd386bdc48919c4f630c4725c1ac","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","np.random.seed(42)\n","\n","x = np.random.randn(100)\n","y = np.random.randn(100)\n","colors = np.random.rand(100)\n","sizes = 1000 * np.random.rand(100)\n","\n","plt.scatter(x, y, c=colors, s=sizes, alpha=0.3, cmap='viridis')\n","plt.colorbar(); # show color scale"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"NsKiNy7aFE7O"},"source":["Observe that the `color` argument is automatically mapped to a color scale (demonstrated here by the `colorbar()` command). Moreover, we can choose a color map using the `cmap` keyword. To view all `Matplotlib` color maps, refer to the [list of colormaps](https://matplotlib.org/stable/tutorials/colors/colormaps.html)."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"dkeXYWvuFE7O"},"source":["### Density plots"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"57uliTlvFE7Q"},"source":["#### Histograms, binnings, and density"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"6ILCuc1UFE7Q"},"source":["A basic histogram can be an excellent initial step in comprehending a dataset. We can use `plt.hist()` to calculate and generate a histogram of sample data:"]},{"cell_type":"code","execution_count":23,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":342,"status":"ok","timestamp":1683113173684,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"YszfLhhcFE7Q","outputId":"c518ff2f-8ba2-4347-a870-e5c82da36ca4"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"e0dcd5e5e1044b67a5430d2f369767f8","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","np.random.seed(42)\n","data = np.random.normal(size=1000)\n","plt.hist(data);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"2Oz3zoI8FE7Q"},"source":["The `hist()` function provides numerous options for fine-tuning the display. Here's an example of a more customized histogram:"]},{"cell_type":"code","execution_count":24,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":425},"executionInfo":{"elapsed":353,"status":"ok","timestamp":1683113175734,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"gRT-a5paFE7Q","outputId":"96e196fe-9f32-4e1c-d5eb-63babe241f01"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"422d4cf89bcf43b0b23bd1517062da7e","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","plt.hist(data, bins=30, density=True, alpha=0.5, color='steelblue', edgecolor='none')\n","x = np.linspace(-4,4,100)\n","y = 1/(2*np.pi)**0.5 * np.exp(-x**2/2) # Standard normal distribution\n","plt.plot(x,y,'b',alpha=0.8);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"xkBeSHhSFE7U"},"source":["The `density=True` keyword argument normalizes the histogram and displays it on the same axes as the data. The `bins` keyword argument specifies the number of bins to use for the histogram. Here, we also superimpose the normal distribution $y = \\frac{1}{\\sqrt{2\\pi}} e^{-x^2/2}$."]},{"attachments":{},"cell_type":"markdown","metadata":{},"source":["> ### Exercise 1: Try to plot the function $\\sin(x)/x$ within the range -10 to 10 with evenly spaced 200 points using the solid blue line. Use visual inspection and the following code to check the value of the function when x approaches 1.\n","\n","```python\n","# Find the x coordinates closest to 0 using isclose() and masking\n","x[np.isclose(x, 0, atol=1e-01)]\n","y[np.isclose(x, 0, atol=1e-01)]\n","```\n","\n","Finally, plot the above points with red circle markers on the same plot."]},{"cell_type":"code","execution_count":25,"metadata":{},"outputs":[],"source":["# Your code here"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"7q3MeCzJFE7U"},"source":["## Advance plot"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"7m1vNRI2FE7U"},"source":["### Filling the area between lines"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"g7LROfMtUMOy"},"source":["Sometimes, it may be useful to fill areas between plots using `plt.fill_between()`:"]},{"cell_type":"code","execution_count":26,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":443},"executionInfo":{"elapsed":930,"status":"ok","timestamp":1683112446007,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"6TyWZCFQFE7U","outputId":"2dd1cacb-0a43-4410-9e57-7ac5100a5852"},"outputs":[{"data":{"text/plain":[""]},"execution_count":26,"metadata":{},"output_type":"execute_result"},{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"f5e9f87e3a7f4b968663f8b433a8295c","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(0, 2*np.pi, 1000)\n","\n","plt.plot(x, np.sin(x), 'r')\n","plt.plot(x, np.cos(x), 'g')\n","plt.fill_between(x, np.cos(x), np.sin(x), color='red', alpha=0.1) #(x, y1, y2) Fill between two sets of y-values."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"SOyBNMNJFE7V"},"source":["### Plot in polar coordinate"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"0DOMf5pBUdmB"},"source":["To plot the figure in different coordinate system, we can use `projection` option of the `plt.axes()` method:"]},{"cell_type":"code","execution_count":27,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":450},"executionInfo":{"elapsed":1076,"status":"ok","timestamp":1683112507144,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"V5wXTEkjFE7V","outputId":"9c79a1a4-91b7-4823-e61c-7b4424f3f265"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"3841a6803f9545cd860b4786f21b9bfc","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["# https://heyankaydai.wixsite.com/calculus-bc/polar\n","plt.figure() \n","t = np.linspace(0, 2*np.pi, 64)\n","\n","# plot in polar coordinates\n","plt.axes(projection='polar')\n","plt.plot(t, np.sin(t), '-'); #or plt.polar(theta, r, '-')\n","\n","\n","# Set ticks for polar coordinate\n","plt.xticks([0, np.pi/2, np.pi, 3*np.pi/2], ['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$']);"]},{"attachments":{},"cell_type":"markdown","metadata":{},"source":["Note that we would expect that a radius of 0 designates the origin, and a negative radius is reflected across the origin; in particular, the polar coordinates $(r, t)$ and $(-r, t+\\pi)$ should designate the same point. We can enforce this behavior using the following code:"]},{"cell_type":"code","execution_count":28,"metadata":{},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"1a1a877e655040cda9329dbc6230826c","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","t = np.linspace(0, 2*np.pi, 64)\n","r = np.sin(t)\n","# plot in polar coordinates\n","plt.axes(projection='polar')\n","plt.plot(t+(r<0)*np.pi, np.abs(r), '-')\n","\n","# Set ticks for polar coordinate\n","plt.xticks([0, np.pi/2, np.pi, 3*np.pi/2], ['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$']);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"sXAu-MOoFE7V"},"source":["## Customizing Plot"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"-nmjISDVFE7V"},"source":["### Customizing plot legends"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"-WE4Vr7jFE7V"},"source":["Plot legends provide context to a visualization, attributing meaning to the various plot elements. For instance, we can designate the location and display the frame:"]},{"cell_type":"code","execution_count":29,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":426},"executionInfo":{"elapsed":3,"status":"ok","timestamp":1683112542016,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"6S9cJpr1FE7V","outputId":"87883369-d947-454e-c240-86b3ab440bb0"},"outputs":[{"name":"stderr","output_type":"stream","text":["C:\\Users\\adm\\AppData\\Local\\Temp\\ipykernel_36568\\3649991525.py:1: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n"," plt.figure()\n"]},{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"20bb7c209c2a41faaf1ae48345394953","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(0, 10, 100)\n","plt.plot(x, np.sin(x), '-g', label='sin(x)')\n","plt.plot(x, np.cos(x), ':b', label='cos(x)')\n","plt.axis('equal')\n","\n","plt.legend(loc='upper left', frameon=True);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"JUAVSZURFE7W"},"source":["#### Text and Annotation"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"EllRVUSBFE7W"},"source":["Crafting an effective visualization entails leading the viewer so that the figure narrates a tale. In certain situations, this narrative can be communicated solely through visual means, without the need for supplementary text, but in others, brief textual indicators and labels are required. Axis labels and titles are the most fundamental types of annotations that we'll employ."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"P6IzN9edFE7W"},"source":["When visualizing data, it's frequently beneficial to annotate particular features of the plot to attract the viewer's attention. This can be done manually using the `plt.text()` function, which positions text at a specified x/y value. Furthermore, we can use the `plt.annotate()` function, which generates text and an arrow and enables the arrows to be specified with great flexibility."]},{"cell_type":"code","execution_count":30,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":426},"executionInfo":{"elapsed":2050,"status":"ok","timestamp":1683112661205,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"cDBHxtz7FE7W","outputId":"033052e0-80d2-4538-cc34-8a02de4945ac"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"add0378596a744d49b48e47c8848949c","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(0, 20, 1000)\n","plt.plot(x, np.cos(x))\n","plt.axis('equal')\n","\n","plt.annotate('local maximum', xy=(6.28, 1), xytext=(10, 4), arrowprops=dict(facecolor='black'), fontsize=14)\n","plt.annotate('local minimum', xy=(5 * np.pi, -1), xytext=(2, -6), arrowprops=dict(arrowstyle=\"->\"), fontsize=14)\n","plt.text(3.14, -1, 'local minimum', fontsize=14, ha='center'); # (x, y, text)"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"gb8qQorJFE7W"},"source":["The arrow style is controlled through the `arrowprops` dictionary, which has numerous options available."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"V97KlQzfFE7W"},"source":["#### Customizing ticks and splines"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"hP55iuJJFE7W"},"source":["`Matplotlib`'s default tick locators and formatters are generally sufficient for many common situations but are not optimal for every plot. Within each axis, there are major tick marks and minor tick marks. As the names suggest, major ticks are typically more prominent or larger, while minor ticks are usually smaller. You can modify the ticks using the `xticks()` and `yticks()` functions. The first argument is a list of tick locations, and the second argument is a list of tick labels:"]},{"cell_type":"code","execution_count":31,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":429},"executionInfo":{"elapsed":930,"status":"ok","timestamp":1683112756746,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"qGpVafHbFE7W","outputId":"5b701029-d635-4d9d-f342-85577e78e8f2"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"b4000b1fbfca46539319db80c2e22b6b","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure() \n","x = np.linspace(0, 20, 1000)\n","plt.plot(x, np.cos(x))\n","plt.plot(x, np.sin(x))\n","plt.axis('equal')\n","\n","# Set the ticks and tick labels\n","plt.xticks([0, np.pi, 2 * np.pi, 3 * np.pi, 4 * np.pi],\n"," [r'$0$', r'$\\pi$', r'$2\\pi$', r'$3\\pi$', r'$4\\pi$'], fontsize=14)\n","plt.yticks([-1, 0, +1], [r'$-1$', r'$0$', r'$+1$'], fontsize=14);"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"UMWNn_kDFE7X"},"source":["***Spines*** are the lines connecting the axis tick marks and indicating the boundaries of the data area. They can be positioned at arbitrary locations, and by default, they are positioned at the borders of the axis. We'll change that and position them in the middle instead. Since there are four spines (top, bottom, left, and right), we'll remove the top and right spines and move the bottom and left spines to the center:"]},{"cell_type":"code","execution_count":32,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":341},"executionInfo":{"elapsed":942,"status":"ok","timestamp":1683112786722,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"SRuP4OhSFE7X","outputId":"3910875f-1aee-49c4-cef2-925cffaa1dab"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"c4e74aa7f26d4856af6edbbffd8aaa13","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["plt.figure(figsize=(8,5), dpi=80)\n","X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n","C = np.cos(X)\n","S = np.sin(X)\n","\n","plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n","plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n","\n","ax = plt.gca()\n","ax.spines[['top', 'right']].set_visible(False)\n","ax.spines['bottom'].set_position(('data',0))\n","ax.spines['left'].set_position(('data',0))"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"-HNkJVo6FE7X"},"source":["Note that here we also use `plt.figure(figsize=(8,5), dpi=80)` to set the figure size and resolution."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"ECBx9UVuFE7X"},"source":["## Multiple Subplots"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"TVwdQMnBFE7X"},"source":["At times, it's beneficial to compare different views of data side by side. To achieve this, `Matplotlib` has the notion of subplots: collections of smaller axes that can coexist within a single figure. These subplots may be insets, grids of plots, or other more complex layouts."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"RYZF1OPrFE7X"},"source":["### `plt.subplots()`"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"MnyRJHQsFE7X"},"source":["Aligned rows or columns of subplots are a common enough requirement that `Matplotlib` has several convenience routines that make it easy to create them. `plt.subplots()` is the easiest tool to use. Instead of creating a single subplot, **this function creates a complete grid of subplots in one line, and returns them as a `NumPy` array**. The arguments are the number of rows and the number of columns, along with optional keywords `sharex` and `sharey`, which allow you to specify the relationships between different axes."]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"YDstm_ffFE7X"},"source":["Let’s create a $2 \\times 3$ grid of subplots, and adjust the spacing between them:"]},{"cell_type":"code","execution_count":35,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":430},"executionInfo":{"elapsed":1245,"status":"ok","timestamp":1683112910955,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"AFsQ4uAHFE7X","outputId":"d9fb4ec4-b7fe-4bc0-ac81-b580af4a75ce"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"cc667b8d0c1f4c44837974c030281e1c","version_major":2,"version_minor":0},"image/png":"iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABIFklEQVR4nO3de3RU9b3+8ScXk4ABgaCpxwsU05E0hBCSeiM9nqMnCMglIFi1CrVVwSr6U7uwwFKi1oqo7aniUUTT0prTAgWxVESL9KoVTCSQoIFEKkitOkggkEkmzMz+/ZEzIzEXEpI9l/19v9Zy0ex8Z/ZnT5/sPHPJTJxlWZYAAABgjPhIDwAAAIDwogACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGKMKYHNzsyZOnKgtW7Z0uOa9997TjBkzlJOTo6uuukpVVVVhnBA4OWQbTkW2AXsYUwC9Xq/uvvtu1dTUdLjG4/HolltuUX5+vtauXavc3FzNnj1bHo8njJMC3UO24VRkG7CPEQWwtrZWV199tfbt29fpug0bNig5OVnz5s3Teeedp4ULF+rUU0/Vxo0bwzQp0D1kG05FtgF7GVEAt27dqgsvvFArV67sdN327duVl5enuLg4SVJcXJxGjx6tioqKMEwJdB/ZhlORbcBeiZEeIByuu+66Lq1zu93KyMhotS0tLa3Tpx+ASCLbcCqyDdjLiALYVY2NjUpKSmq1LSkpSc3Nze2u9/l8Onz4sJKTkxUfb8SDqehAIBCQ1+vVaaedpsTE6PuxIts4GdGea6l72SbXCIqFbNvNzKPuQHJycpuTRnNzs1JSUtpdf/jwYX344YdhmAyxYujQoUpLS4v0GG2QbfREtOZa6l62yTW+LJqzbTcK4HHS09N14MCBVtsOHDigM844o931ycnJkqSzzz5bffv2tX2+aBQIBFRbW6uMjAyj71F7PB7t378/lIloQ7a7j2xHf66l7mWbXLcg27GRbbtRAI+Tk5Oj5cuXy7IsxcXFybIsvfvuu5ozZ06764M/OH379lW/fv3COWrU8Pv9kqTU1FQlJCREeJrIi9aTKdnuPrL9hWjNtdS9bJPrFmT7C9GcbbuZe+T/x+12q6mpSZI0btw41dfX6+GHH1Ztba0efvhhNTY2avz48RGeEug+sg2nIttAzxlfAAsKCrRhwwZJLfeGli1bpvLyck2bNk3bt2/Xc889Z/RTBYhdZBtORbaBnjPuKeBdu3Z1+vXIkSP10ksvhXMkoFeQbTgV2QZ6n/GPAAIAAJiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYYwpgF6vVwsWLFB+fr4KCgpUUlLS4do//OEPGj9+vHJzc3Xttddq586dYZwU6DpyDaci24C9jCmAS5YsUVVVlVasWKFFixZp6dKl2rhxY5t1NTU1uueeezR79my9/PLLyszM1OzZs9XY2BiBqYHOkWs4FdkG7GVEAfR4PFq9erUWLlyorKwsFRYW6qabblJpaWmbtW+++aYyMjJUVFSkc889V3fffbfcbrdqa2sjMDnQMXINpyLbgP2MKIDV1dXy+XzKzc0NbcvLy9P27dsVCARarR0wYIBqa2tVXl6uQCCgtWvXKjU1Veeee264xwY6Ra7hVGQbsF9ipAcIB7fbrYEDByopKSm0bfDgwfJ6vTp06JAGDRoU2j5hwgRt3rxZ1113nRISEhQfH69ly5bptNNO6/D6A4GA/H6/rccQrYLHberxB335l1I42J1riWwf/6+JIpFriXO23ch25LIdTYwogI2Nja1OJJJCXzc3N7faXldXJ7fbrfvvv185OTn69a9/rfnz5+ull15SWlpau9fPUw1SZWVlpEcwjt25lsi2RLYjgXN2eJBtsxlRAJOTk9ucNIJfp6SktNr++OOPy+Vy6dvf/rYk6aGHHtL48eO1Zs0a3XLLLe1ef0ZGhlJTU22YPPr5/X5VVlYqOztbCQkJkR4nYo4ePRr2Xyp251oi26ZnOxK5ljhn241sRy7b0cSIApienq66ujr5fD4lJrYcstvtVkpKivr3799q7c6dO3XDDTeEvo6Pj9fw4cP18ccfd3j98fHxxv4QBSUkJBh9G8THh//ltHbnOrjO5P9fJbOzHYlcS5yzw4Vsm82IWyAzM1OJiYmqqKgIbSsvL1d2dnabEJxxxhn64IMPWm37xz/+obPPPjscowJdRq7hVGQbsJ8RBbBPnz4qKipScXGxduzYoU2bNqmkpEQzZ86U1HLPsqmpSZJ09dVXa9WqVVq3bp327t2rxx9/XB9//LGmTp0ayUMA2iDXcCqyDdjPiKeAJWn+/PkqLi7WrFmzlJqaqrlz52rs2LGSpIKCAj3yyCOaNm2aJkyYoIaGBi1btkyffPKJMjMztWLFik5fKA9ECrmGU5FtwF5xlmVZkR4iVnk8Hr3//vtyuVzq169fpMeJCL/fr4qKCo0aNcrY15JI0pEjR7R7925lZmaqb9++kR6nx8g22ZbItVORbedl+2QY8RQwAAAAvkABBAAAMAwFEAAAwDAUQAAAAMNQAAEAAAxDAQQAADAMBRAAAMAwFEAAAADDUAABAAAMQwEEAAAwDAUQAADAMBRAAAAAw1AAAQAADEMBBAAAMAwFEAAAwDAUQAAAAMNQAAEAAAxDAQQAADAMBRAAAMAwxhRAr9erBQsWKD8/XwUFBSopKelw7a5du3Tttddq5MiRmjRpkt5+++0wTgp0HbmGU5FtwF7GFMAlS5aoqqpKK1as0KJFi7R06VJt3LixzbojR47ou9/9rjIyMrR+/XoVFhbq9ttv1+effx6BqYHOkWs4FdkG7GVEAfR4PFq9erUWLlyorKwsFRYW6qabblJpaWmbtS+99JL69u2r4uJiDRkyRHfccYeGDBmiqqqqCEwOdIxcw6nINmC/xEgPEA7V1dXy+XzKzc0NbcvLy9Ozzz6rQCCg+PgvevDWrVt1+eWXKyEhIbRtzZo1YZ0X6ApyDaci24D9jCiAbrdbAwcOVFJSUmjb4MGD5fV6dejQIQ0aNCi0/aOPPtLIkSN13333afPmzTrrrLN07733Ki8vr8PrDwQC8vv9th5DtAoet6nHHxQIBMK+T7tzLZHt4/81USRyLXHOthvZjly2o4kRBbCxsbHViURS6Ovm5uZW2z0ej5577jnNnDlTy5cv1yuvvKLvfe97evXVV3XmmWe2e/21tbX2DB5DKisrIz2CcezOtUS2JbIdCZyzw4Nsm82IApicnNzmpBH8OiUlpdX2hIQEZWZm6o477pAkff3rX9ebb76pl19+WXPmzGn3+jMyMpSammrD5NHP7/ersrJS2dnZrZ6CMc3Ro0fD/kvF7lxLZNv0bEci1xLnbLuR7chlO5oYUQDT09NVV1cnn8+nxMSWQ3a73UpJSVH//v1brT399NM1bNiwVtuGDh2qf/3rXx1ef3x8vLE/REEJCQlG3wbHvyYpXOzOtUS2JbOzHYlcS5yzw4Vsm82IWyAzM1OJiYmqqKgIbSsvL1d2dnabEIwaNUq7du1qtW3Pnj0666yzwjEq0GXkGk5FtgH7GVEA+/Tpo6KiIhUXF2vHjh3atGmTSkpKNHPmTEkt9yybmpokSddcc4127dqlp556Snv37tXPfvYzffTRR5oyZUokD6FHnnjiCWVnZ2vv3r1tvrd582bNmjVLeXl5ysnJ0cSJE/XMM8/I6/XaMsu6dev0rW99S7m5ucrNzdW0adNUWlra7gty9+7dqxEjRugnP/mJLbPEOtNzLUVXto+3e/dujRgxQj/4wQ/a/f7hw4d14YUX6p577rF9llhkerajJddNTU16/vnnNWPGDI0ePVojRozQf/7nf2revHmqrq5us55cxxjLEB6Px5o3b541atQoq6CgwPr5z38e+p7L5bLWrFkT+rqsrMyaOnWqNWLECGvKlCnW1q1b273OhoYGq6yszKqvr7d7/JP2zjvvWMOHD7ceffTRNt97/vnnLZfLZblcLuuyyy6zpkyZYmVmZloul8uaMmWKdeTIkRNev8/ns8rKyiyfz3fCtQ8++GBof+PGjbOuvPLK0Nff/e53rebm5jaXWbJkiTV8+HCrrKysawccIfX19VZZWZnV0NAQ1v3akWvLItuW1b1sH+/gwYOhbN9zzz0dristLbVcLpe1fv36bl1/OEUq15bFOduuXFtW17LtdrutCRMmhPb3zW9+05o4caKVnZ1tuVwuKysry1q3bl2by8VCri0rstmOFsYUQDtE+8nk2LFj1pVXXmldcMEF1uHDh1t97+9//7t1/vnnW1lZWdZrr70W2v7hhx+Gfuh/8IMfnHAfXf0luWbNGsvlcll5eXnWO++8E9peWVlpjRkzxnK5XNZPf/rTNpc7cuSIdcEFF1hXXnlluwUxWjjtZEK2T64A/vOf/7QmT54c+qXZWQH0+XzWFVdcYV1yySVtjiFakOvwCkeuLatr2b7xxhstl8tlFRYWWtu3bw9tP3r0qHXfffeFSuCuXbvaXHe059qynJftk2HEU8CmWr16tWpqajRz5sw2L5x++umnZVmWbrzxRo0dOza0fciQIXrqqaeUkJCg9evX68MPP+zxHH6/X88884wk6Qc/+IHy8/ND3xsxYoQee+wxSdKKFSt05MiRVpdNTU3VzJkzVVNTo9WrV/d4FjhDtGT7eBs2bNDUqVPbfWqsPQkJCZozZ44OHDigZcuW9eosiE3Rkuv3339fb775puLj4/XEE09o5MiRoe+deuqpeuCBB5SXl6djx45pxYoVrS5LrmMHBdChjh07pmeeeUYJCQmaPn16q+/t379fW7dulaQ235OkYcOG6cILL5RlWXrllVd6PEtZWZn27dunU045pd3X5Vx88cUaMmSIPB6P3njjjTbfnzFjhhITE/Xss8/q2LFjPZ4HsS2ash10zTXX6K677tKhQ4d0xRVX6IorrujS5SZMmKABAwaotLRUBw8e7LV5EHuiKddbtmyRJJ177rnKzs5u8/24uDhdfvnlktp/L0FyHRsogA71+uuv69NPP9XFF1+s9PT0Vt8L/mXd4MGDNWTIkHYvP3r0aEkKnXR6Iri/r3/96+rTp0+393fGGWfo4osv1qeffqo//OEPPZ4HsS2ash20bds2nXnmmXriiSf05JNPqm/fvl26XFJSksaNG6fGxkb99re/7bV5EHuiKdeXXXaZfvrTn3b4R0ySZFmWpPY/UYNcxwYKoENt2LBBknTppZe2+V7wL8vOOeecDi8ffAuF3ng6oTf2981vflOSevVRG8SmaMp20AMPPKDXXntNEydO7PZlg9kOHhfMFE25PvfcczVhwgQVFhZ2uGbjxo2SWt5Uuz3kOvpRAB3I7/eHHsJv7/Mwgw/JH/95ml82YMAASVJdXV2P5+mN/QWPY8uWLUZ/fqXpoi3bQddcc42Sk5NP6rLB46iurubpMkNFa647smrVqtBTv0VFRe2uIdfRjwLoQO+9956OHDmi+Pj4du+dNTY2SlKnv7CCH7fk9XpDD/WfrO7sL/jeXl+WkZGhhIQEHTlyRDt37uzRPIhd0Zbt3jBw4ECdfvrpsixLb7/9dqTHQQTEUq7feustPfTQQ5JaHuX7j//4j3bXkevoRwF0oP3790tq+Til9k4Y4f7on+7sLy4urt3tKSkp+spXviJJ+uijj3plLsSeaMt2b/nqV78q6Yvjg1liJdd//vOfdeutt6q5uVlnn322lixZ0ul6ch3dKIAOFHy4vV+/fu1+P/gC9c7eOT74SFxKSkqHpayruru/jgTfFuHzzz/v0TyIXdGW7d5Cts0WC7n+7W9/q9tuu01NTU0666yz9Itf/KLTp6Qlch3tEiM9AHrf4cOHJanDv7gdOHCgJOnQoUMdXkfwdSRpaWk9nqe39hc8nvr6+h7PhNgUbdnuLWTbbNGca8uy9JOf/ETPPfecJMnlcun5559v85fK7SHX0Y0C6EDBpxA6+qE777zzJEn//Oc/O7yO4PeGDh3a43l6a3/B4znZF9sj9kVbtnsL2TZbtOa6ublZ8+bN06uvviqp5T1bn3rqqQ4fqfwych3deArYgQYPHiyp478GGzlypOLi4vTJJ5/ok08+aXfNtm3bJEm5ubk9nif4LvLvvfeempubT3p/weMJHh/ME23Z7i1k22zRmGufz6c777wzVP6mTp2q5cuXd7n8SeQ62lEAHSj4wtv6+vrQX48dLz09PXSS+M1vftPm+3v27NGWLVuUkJCgyZMn93ie3NxcfeUrX1FjY6NefvnlNt9/6623tHfvXqWmpnb4vlNNTU2hpz+GDRvW45kQm6It270l+EudbJspGnP9yCOPaPPmzZKk733ve1q8eLFOOeWUbl0HuY5uFEAHyszMVN++fRUIBELvIP9lt99+uyRp+fLlWrduXWj7vn37NHfuXPn9fl155ZVt3nX+4MGD+uCDD/TBBx90eZ64uDjddtttklpOKn/7299C39u5c6fuvfdeSdINN9zQ4b3L7du3y+/3q0+fPsrMzOzyvuEs0Zbt3rB//3599tlnktp/Dzg4X7TluqysTC+++KIkadKkSZo3b173DkjkOhbwGkAHOuWUU3TRRRdp8+bNKi8v18UXX9xmzZgxYzR79mwtW7ZM9957r5588kn1799fu3fvlt/vV1ZWloqLi9tcrrS0VEuXLpUk7dq1q8szzZgxQ1u3btX69ev1ve99T0OHDlVSUpJqampkWZb+/d//PXSCa095ebmkltegJCUldXm/cJZozHZPBbN9/vnnd+mF9XCeaMv18uXLQ//7gw8+0LXXXtvh2tNPP11PPvlkm+3kOvpRAB1qypQp2rx5s/761792WKzuvvtujRw5Ur/61a+0c+dOffbZZzrnnHM0btw43XLLLTr11FN7bZ64uDg99thjuuSSS7Rq1Srt2rVLPp9PX/va1zRlyhTNmjVLiYkdx/Evf/lL6LhgtmjLdk+RbUjRlevjP0/4vffe63Rt8CPovoxcxwALJ62hocEqKyuz6uvrIz1KGz6fzyosLLRcLpe1e/fuXr3u1157zRo5cmRoP2VlZZbP5+vVfRyvpqbGcrlcVmFhoa376Yn6+nqrrKzMamhoiPQovYJshyfbdXV1VnZ2tpWfnx+VtzW5Dp9w5Tq4LzuzHe25tiznZftk8BpAh0pISNCcOXMktXxuY2/asmVL6G0JwmHlypWSpFtvvTVq3hEfkeOkbK9bt05er1ezZs3q1l9XwnnINcKNAuhgkydP1rBhw7R27dpe+zDuV155RStXrtSdd97ZK9d3IgcPHtRLL72kYcOGadKkSWHZJ6KfE7Ld3NysX/3qVxo4cKBmzpwZln0iupFrhBMF0MESExO1ePFiNTY26umnn+6V67zooou0Zs0aXXrppb1yfSfy9NNPy+PxaPHixZ2+RhBmcUK2X3zxRe3fv18PPPBA6COzYDZyjXAypgB6vV4tWLBA+fn5KigoUElJyQkvs3//fuXm5mrLli1hmNAeOTk5uvnmm7Vy5Up9+OGHPb6+tLQ0nX/++T0frAs+/PBDrVy5UrfccotycnLCss9YY2qupdjO9qFDh/Tss89q8uTJuuKKK8Kyz1hjarbJNcLFmIdUlixZoqqqKq1YsUIff/yx7r33Xv3bv/2bxo0b1+FliouL5fF4wjilPe666y7dddddkR6j24YOHaqqqqpIjxHVTM61FLvZHjBgQKu/tERbJmebXCMcjCiAHo9Hq1ev1vLly5WVlaWsrCzV1NSotLS0w5PJ7373OzU0NIR5UqDryDWcimwD9jPiKeDq6mr5fL5Wn5GYl5en7du3KxAItFlfV1enxx57TA8++GA4xwS6hVzDqcg2YD8jHgF0u90aOHBgq0+QGDx4sLxerw4dOqRBgwa1Wr948WJNnTpVX/va17p0/YFAQH6/v1dnjhXB4zb1+IPa+6VkN7tzLZHt4/81USRyLXHOthvZjly2o4kRBbCxsbHNx4cFv25ubm61/a233lJ5ebl+//vfd/n6a2trez5kjKusrIz0CMaxO9cS2ZbIdiRwzg4Psm02IwpgcnJym5NG8OuUlJTQtqamJt1///1atGhRq+0nkpGRodTU1N4ZNsb4/X5VVlYqOzvb6DdpPnr0aNh/qdida4lsm57tSORa4pxtN7IduWxHEyMKYHp6uurq6uTz+ULvJed2u5WSktLqfYp27Nihjz76SHfccUery998880qKirq8PUl8fHxxv4QBSUkJBh9G8THh//ltHbnWiLbktnZjkSuJc7Z4UK2zWZEAczMzFRiYqIqKiqUn58vSSovL1d2dnarEIwcOVKvv/56q8uOHTtWP/rRjzRmzJiwzgycCLmGU5FtwH5GFMA+ffqoqKhIxcXF+vGPf6zPPvtMJSUleuSRRyS13LPs16+fUlJSNGTIkDaXT09PV1paWrjHBjpFruFUZBuwnzGPgc6fP19ZWVmaNWuWHnjgAc2dO1djx46VJBUUFGjDhg0RnhDoPnINpyLbgL3iLMuyIj1ErPJ4PHr//fflcrnUr1+/SI8TEX6/XxUVFRo1apSxryWRpCNHjmj37t3KzMxU3759Iz1Oj5Ftsi2Ra6ci287L9skw5hFAAAAAtKAAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABjGiALo9Xq1YMEC5efnq6CgQCUlJR2u/dOf/qQpU6YoNzdXkyZN0htvvBHGSYHuIdtwKrIN2MuIArhkyRJVVVVpxYoVWrRokZYuXaqNGze2WVddXa3bb79dV111ldatW6drrrlGd955p6qrqyMwNXBiZBtORbYBeyVGegC7eTwerV69WsuXL1dWVpaysrJUU1Oj0tJSjRs3rtXa3//+97rooos0c+ZMSdKQIUO0efNmvfrqqxo+fHgkxgc6RLbhVGQbsJ/jC2B1dbV8Pp9yc3ND2/Ly8vTss88qEAgoPv6LB0GnTp2qY8eOtbmOI0eOhGVWoDvINpyKbAP2c/xTwG63WwMHDlRSUlJo2+DBg+X1enXo0KFWa88777xW9xhramr097//XRdffHG4xgW6jGzDqcg2YD/HPwLY2NjY6iQiKfR1c3Nzh5c7ePCg5s6dq9GjR+vyyy/vdB+BQEB+v7/nw8ag4HGbevxBgUAg7Psk2/Yi25HJtWR/tk3OtUS2pchlO5o4vgAmJye3OWEEv05JSWn3MgcOHNCNN94oy7L05JNPtnq6oT21tbW9M2wMq6ysjPQIxiHb4UG2w8/ubJPrFmTbbI4vgOnp6aqrq5PP51NiYsvhut1upaSkqH///m3Wf/rpp6EXE//yl7/UoEGDTriPjIwMpaam9u7gMcLv96uyslLZ2dlKSEiI9DgRc/To0bD/UiHb9iLbkcm1ZH+2Tc61RLalyGU7mji+AGZmZioxMVEVFRXKz8+XJJWXlys7O7vNPUSPx6ObbrpJ8fHx+uUvf6nTTz+9S/uIj4839ocoKCEhwejb4ESPpNmBbIeHydmORK4l+7NNrluQbbM5/hbo06ePioqKVFxcrB07dmjTpk0qKSkJ3Vt0u91qamqSJC1btkz79u3To48+Gvqe2+3mr8kQlcg2nIpsA/Zz/COAkjR//nwVFxdr1qxZSk1N1dy5czV27FhJUkFBgR555BFNmzZNr732mpqamjRjxoxWl586daoWL14cidGBTpFtOBXZBuwVZ1mWFekhYpXH49H7778vl8ulfv36RXqciPD7/aqoqNCoUaOMfSpBannPsd27dyszM1N9+/aN9Dg9RrbJtkSunYpsOy/bJ8PxTwEDAACgNQogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIYxogB6vV4tWLBA+fn5KigoUElJSYdr33vvPc2YMUM5OTm66qqrVFVVFcZJge4h23Aqsg3Yy4gCuGTJElVVVWnFihVatGiRli5dqo0bN7ZZ5/F4dMsttyg/P19r165Vbm6uZs+eLY/HE4GpgRMj23Aqsg3Yy/EF0OPxaPXq1Vq4cKGysrJUWFiom266SaWlpW3WbtiwQcnJyZo3b57OO+88LVy4UKeeemq7Jx0g0sg2nIpsA/ZzfAGsrq6Wz+dTbm5uaFteXp62b9+uQCDQau327duVl5enuLg4SVJcXJxGjx6tioqKcI4MdAnZhlORbcB+ji+AbrdbAwcOVFJSUmjb4MGD5fV6dejQoTZrzzjjjFbb0tLS9Mknn4RjVKBbyDacimwD9kuM9AB2a2xsbHUSkRT6urm5uUtrv7wuKHhP1OTXmgRvg6NHjyo+3vH3JzoUzMCXH52wE9m2F9mOTK4l+7JNrluQ7chlO5o4vgAmJye3OREEv05JSenS2i+vC/J6vZKk/fv399a4Mau2tjbSI0QFr9er1NTUsOyLbIcH2Q5vriX7sk2uWyPb4c92NHF8AUxPT1ddXZ18Pp8SE1sO1+12KyUlRf3792+z9sCBA622HThwoM3TC0GnnXaahg4dquTkZGPvRaFFIBCQ1+vVaaedFrZ9km3YLRK5luzLNrlGUKSyHU0cXwAzMzOVmJioiooK5efnS5LKy8uVnZ3d5gSQk5Oj5cuXy7IsxcXFybIsvfvuu5ozZ067152YmKi0tDTbjwGxIdz3Isk2wiESj47YlW1yjeOZ+shfkOPvAvXp00dFRUUqLi7Wjh07tGnTJpWUlGjmzJmSWu5VNjU1SZLGjRun+vp6Pfzww6qtrdXDDz+sxsZGjR8/PpKHALSLbMOpyDYQBpYBPB6PNW/ePGvUqFFWQUGB9fOf/zz0PZfLZa1Zsyb09fbt262ioiIrOzvbmj59urVt2zZr/vz5Vl5enjVmzBjrhRde6HA/O3futKZPn26NHDnSmjZtmlVZWWnnYYVNU1NTl2+DOXPmWC6Xq9V/mzdvDuO09vJ6vdaVV15pvf322x2uCWcOyHbPkO0vOCXb06ZNs2699Vajc21ZZPt40ZbtaGFEAeyJBx980Jo0aZJVVVVlvf7661Zubq716quvtlnX0NBgjRkzxlq8eLFVW1trPfTQQ9Yll1xiNTQ0RGDq3tXV28CyLKuwsNB6+eWXrc8++yz0n9frDfPE9mhqarJuu+02y+VydXgiiaUckG2yHeSkbJPrFmS7hZOy3dsogJ1oaGiwsrOzW4Xm6aeftq6//vo2a1evXm1ddtllViAQsCzLsgKBgFVYWNjqXmos6s5t4PV6rczMTGvPnj3hHDEsampqrMmTJ1uTJk3q9EQSKzkg22Q7yEnZJtctyHYLJ2XbDo5/DWBP8G703bsN9uzZo7i4OJ1zzjnhHtN2W7du1YUXXqiVK1d2ui5WckC2yXaQk7JNrluQ7RZOyrYdKICd4N3ou3cb7NmzR6mpqZo3b54KCgo0ffp0/fnPfw7zxPa47rrrtGDBAvXp06fTdbGSA7JNtoOclG1y3YJst3BStu1AAeyEnZ+0ECu6cxvs2bNHTU1NKigo0PPPP69LL71Ut956qyorK8M2b6TFSg7INtnurljIAbluQba7x8lZ6Izj3wewJ+z8pIVY0Z3b4Pvf/75uuOGG0BtrDh8+XDt37tSqVauUnZ0dnoEjLFZyQLbJdnfFQg7IdQuy3T1OzkJneASwE8e/G31Qb33SQqzozm0QHx/f5l3Vhw0bpk8//TQss0aDWMkB2Sbb3RULOSDXLch29zg5C52hAHbi+HejD+rs3ei3bdsmy7IkKfRu9Dk5OeEcudd15zb44Q9/qPnz57faVl1drWHDhoVj1KgQKzkg22S7u2IhB+S6BdnuHidnoTMUwE7wbvTduw0uu+wyrV+/XuvWrdPevXu1dOlSlZeX6/rrr4/kIdguFnNAtsl2V8RaDsh1C7J9YqZkoVORefeZ2NGTT1rYuXNnBCbufd25DVatWmWNHTvWGjFihDV16lRr69atEZjYXl9+P6lYzQHZJttf5oRsk+sWZLs1J2S7t8VZ1v895gkAAAAj8BQwAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBijCmBzc7MmTpyoLVu2dLjmvffe04wZM5STk6OrrrpKVVVVYZwQODlkG05FtgF7GFMAvV6v7r77btXU1HS4xuPx6JZbblF+fr7Wrl2r3NxczZ49Wx6PJ4yTAt1DtuFUZBuwjxEFsLa2VldffbX27dvX6boNGzYoOTlZ8+bN03nnnaeFCxfq1FNP1caNG8M0KdA9ZBtORbYBexlRALdu3aoLL7xQK1eu7HTd9u3blZeXp7i4OElSXFycRo8erYqKijBMCXQf2YZTkW3AXomRHiAcrrvuui6tc7vdysjIaLUtLS2tw6cffD6fDh8+rOTkZMXHG9Gl0YFAICCv16vTTjtNiYnh+7Ei27BTpHIt2ZNtco2gSGY7Wph51B1obGxUUlJSq21JSUlqbm5ud/3hw4f14YcfhmEyxIqhQ4cqLS0t0mO0QbbRE9Gaa6l72SbX+LJozrbdKIDHSU5ObnPSaG5uVkpKSofrJenss89W3759bZ8vGgUCAdXW1iojI8Poe9Qej0f79+8PZSLakO3uI9vRn2upe9km1y3Idmxk224UwOOkp6frwIEDrbYdOHBAZ5xxRrvrgz84ffv2Vb9+/WyfLxr5/X5JUmpqqhISEiI8TeRF68mUbHcf2f5CtOZa6l62yXULsv2FaM623cw98nbk5ORo27ZtsixLkmRZlt59913l5OREeDKgZ8g2nIpsAyfH+ALodrvV1NQkSRo3bpzq6+v18MMPq7a2Vg8//LAaGxs1fvz4CE8JdB/ZhlORbaDnjC+ABQUF2rBhg6SWh8OXLVum8vJyTZs2Tdu3b9dzzz1n9GtFELvINpyKbAM9Z9xrAHft2tXp1yNHjtRLL70UzpGAXkG24VRkG+h9xj8CCAAAYBoKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGMaYAer1eLViwQPn5+SooKFBJSUmHa//whz9o/Pjxys3N1bXXXqudO3eGcVKg68g1nIpsA/YypgAuWbJEVVVVWrFihRYtWqSlS5dq48aNbdbV1NTonnvu0ezZs/Xyyy8rMzNTs2fPVmNjYwSmBjpHruFUZBuwlxEF0OPxaPXq1Vq4cKGysrJUWFiom266SaWlpW3Wvvnmm8rIyFBRUZHOPfdc3X333XK73aqtrY3A5EDHyDWcimwD9jOiAFZXV8vn8yk3Nze0LS8vT9u3b1cgEGi1dsCAAaqtrVV5ebkCgYDWrl2r1NRUnXvuueEeG+gUuYZTkW3AfomRHiAc3G63Bg4cqKSkpNC2wYMHy+v16tChQxo0aFBo+4QJE7R582Zdd911SkhIUHx8vJYtW6bTTjutw+sPBALy+/22HkO0Ch63qccf9OVfSuFgd64lsn38vyaKRK4lztl2I9uRy3Y0MaIANjY2tjqRSAp93dzc3Gp7XV2d3G637r//fuXk5OjXv/615s+fr5deeklpaWntXj9PNUiVlZWRHsE4dudaItsS2Y4EztnhQbbNZkQBTE5ObnPSCH6dkpLSavvjjz8ul8ulb3/725Kkhx56SOPHj9eaNWt0yy23tHv9GRkZSk1NtWHy6Of3+1VZWans7GwlJCREepyIOXr0aNh/qdida4lsm57tSORa4pxtN7IduWxHEyMKYHp6uurq6uTz+ZSY2HLIbrdbKSkp6t+/f6u1O3fu1A033BD6Oj4+XsOHD9fHH3/c4fXHx8cb+0MUlJCQYPRtEB8f/pfT2p3r4DqT/3+VzM52JHItcc4OF7JtNiNugczMTCUmJqqioiK0rby8XNnZ2W1CcMYZZ+iDDz5ote0f//iHzj777HCMCnQZuYZTkW3AfkYUwD59+qioqEjFxcXasWOHNm3apJKSEs2cOVNSyz3LpqYmSdLVV1+tVatWad26ddq7d68ef/xxffzxx5o6dWokDwFog1zDqcg2YD8jngKWpPnz56u4uFizZs1Samqq5s6dq7Fjx0qSCgoK9Mgjj2jatGmaMGGCGhoatGzZMn3yySfKzMzUihUrOn2hPBAp5BpORbYBe8VZlmVFeohY5fF49P7778vlcqlfv36RHici/H6/KioqNGrUKGNfSyJJR44c0e7du5WZmam+fftGepweI9tkWyLXTkW2nZftk2HEU8AAAAD4AgUQAADAMBRAAAAAw1AAAQAADEMBBAAAMAwFEAAAwDAUQAAAAMNQAAEAAAxDAQQAADAMBRAAAMAwFEAAAADDUAABAAAMQwEEAAAwDAUQAADAMBRAAAAAw1AAAQAADEMBBAAAMAwFEAAAwDDGFECv16sFCxYoPz9fBQUFKikp6XDtrl27dO2112rkyJGaNGmS3n777TBOCnQduYZTkW3AXsYUwCVLlqiqqkorVqzQokWLtHTpUm3cuLHNuiNHjui73/2uMjIytH79ehUWFur222/X559/HoGpgc6RazgV2QbsZUQB9Hg8Wr16tRYuXKisrCwVFhbqpptuUmlpaZu1L730kvr27avi4mINGTJEd9xxh4YMGaKqqqoITA50jFzDqcg2YL/ESA8QDtXV1fL5fMrNzQ1ty8vL07PPPqtAIKD4+C968NatW3X55ZcrISEhtG3NmjVhnRfoCnINpyLbgP2MeATQ7XZr4MCBSkpKCm0bPHiwvF6vDh061GrtRx99pEGDBum+++7TmDFjdPXVV6u8vDzMEwMnRq7hVGQbsJ8RjwA2Nja2OpFICn3d3NzcarvH49Fzzz2nmTNnavny5XrllVf0ve99T6+++qrOPPPMdq8/EAjI7/fbM3yUCx63qccfFAgEwr5Pu3Mtke3j/zVRJHItcc62G9mOXLajiREFMDk5uc1JI/h1SkpKq+0JCQnKzMzUHXfcIUn6+te/rjfffFMvv/yy5syZ0+7119bW2jB1bKmsrIz0CMaxO9cS2ZbIdiRwzg4Psm02Iwpgenq66urq5PP5lJjYcshut1spKSnq379/q7Wnn366hg0b1mrb0KFD9a9//avD68/IyFBqamrvDx4D/H6/KisrlZ2d3eo1OKY5evRo2H+p2J1riWybnu1I5FrinG03sh25bEcTIwpgZmamEhMTVVFRofz8fElSeXm5srOzW72YWJJGjRqld955p9W2PXv2aOLEiR1ef3x8vLE/REEJCQlG3wZfzlE42J1riWxLZmc7ErmWOGeHC9k2mxG3QJ8+fVRUVKTi4mLt2LFDmzZtUklJiWbOnCmp5Z5lU1OTJOmaa67Rrl279NRTT2nv3r362c9+po8++khTpkyJ5CEAbZBrOBXZBuxnRAGUpPnz5ysrK0uzZs3SAw88oLlz52rs2LGSpIKCAm3YsEGSdNZZZ+n555/XH//4R02cOFF//OMf9dxzzyk9PT2S4/fIE088oezsbO3du7fTdW63WxdccIGuvfZa22bZvHmzZs2apby8POXk5GjixIl65pln5PV626w9fPiwLrzwQt1zzz22zRPrTM61FF3Z7s7+jh07pnHjxum6667jxegdMDnb0ZJrv9+vlStX6vrrr9cFF1ygESNGqKCgQHfccYfKysrarCfXMcbCSWtoaLDKysqs+vr6SI/SoXfeeccaPny49eijj3a6rqmpybrhhhssl8tlXXPNNV2+fp/PZ5WVlVk+n++Ea59//nnL5XJZLpfLuuyyy6wpU6ZYmZmZlsvlsqZMmWIdOXKkzWVKS0stl8tlrV+/vsszRUJ9fb1VVlZmNTQ0RHqUXkG2u5ftk9nfn/70J8vlclnPPvtst64/nMh1+Nmda8vqWrYbGhqsb3/726Fz9sUXX2xNmTLFGjVqlOVyuazzzz/fWrZsWZvLxUKuLct52T4ZxjwCaCKfz6fi4mL179+/07/0PHTokGbPnq0tW7bYNsvbb7+txx57TKeccoqeeuopvfHGG1q3bp1effVVZWRk6P3339cDDzzQ5nLf+ta39NWvflWPPPKI6uvrbZsPsSWasn2y+7v00kt1ySWX6H/+53/00UcfhWE6RLtoyvWPf/xjvfPOO0pLS9Py5cv11ltvad26ddqyZYtuv/12WZalJ554Qn/9619bXY5cxw4KoIOtXr1aNTU1mjlzZpu/nAt66623NHXqVP3973+3dZann35almXpxhtvDD2NI0lDhgzRU089pYSEBK1fv14ffvhhq8slJCRozpw5OnDggJYtW2brjIgd0ZTtnuzvtttuU1NTk5544gkbJ0OsiJZcHzx4UC+99JIkqbi4WP/+7/8e+l5SUpLmzp2rSZMmSZJeeOGFNpcn17GBAuhQx44d0zPPPKOEhARNnz693TX33HOPbrzxRn388cf6xje+YdvrSPbv36+tW7dKUruzDBs2TBdeeKEsy9Irr7zS5vsTJkzQgAEDVFpaqoMHD9oyI2JHNGW7p/vLz89XRkaGNm7cqJqaGltnRHSLplyXl5fL5/MpOTlZ//Vf/9XumuD29t5LkFzHBgqgQ73++uv69NNPdfHFF3f4Yuht27ZpwIABuu+++/TLX/5SaWlptsxSUVEhqeWjnIYMGdLumtGjR0tSqCgeLykpSePGjVNjY6N++9vf2jIjYkc0Zbs39jdlyhRZlqUXX3zRxgkR7aIp1yNHjtSTTz6pBx98sMO3S7EsS1LHn6hBrqMfBdChgn8hd+mll3a45vbbb9emTZt0/fXX2/qeSMG/ZDvnnHM6XHPWWWdJUpungIO++c1vSvriuGCuaMp2b+wv+PTaxo0b+ctJg0VTrtPT03XFFVeoqKiowzUbN26U1PKm2u0h19GPAuhAfr8/9OLgvLy8DtdNmzZN/fr1s32e4NO2gwYN6nDNgAEDJEl1dXXtfj94HNXV1TwNbLBoy3Zv7O/888/XqaeeqkOHDmnnzp29PBliQbTmuiN/+9vfQgWwo5JIrqMfBdCB3nvvPR05ckTx8fEd3jsLp8bGRkktn+/ZkeDne3q93tBTC8cbOHCgTj/9dFmWpbffftueQRH1oi3bvSEuLk4ul0uSyLahYinX1dXVuvvuuyW1lLwZM2a0u45cRz8KoAPt379fUsvD+J2VrnDprY8a+upXvyrpi+ODeaIt270lmG3eNsNMsZLryspKfec739Hhw4c1YMAAPfnkk0pKSupwPbmObhRABwo+RRoNTxVIUt++fSWp3U/7CAp+rFNKSori4uLaXRN8W4TPP/+8lydErIi2bPeW4PHw8gYzxUKu//znP2vmzJmqq6vTgAED9MILL2jo0KGdXoZcRzcKoAMdPnxYUsvnaUaDgQMHSmp589KOBF/719lftQWPhzeENle0Zbu3BI8neHwwS7Tn+sUXX9Stt94qj8ejr3zlK3rxxRc1YsSIE16OXEe3xEgPgN4XfAohWorSeeedJ0n65z//2eGa4Pc6u0cZPJ5ofooE9oq2bPeW4PEEXwsLs0Rrri3L0uLFi/WLX/xCkjR8+PBufc4yuY5uPALoQIMHD5bU8V/UhtvIkSMVFxenTz75RJ988km7a7Zt2yZJys3N7fB6gscTPD6YJ9qy3VvIttmiNdcPPvhgqPwVFBSotLS0y+VPItfRjgLoQMEX3tbX14f+AjeS0tPTQ8XuN7/5TZvv79mzR1u2bFFCQoImT57c4fUEy+OwYcPsGRRRL9qy3VuC2Q4eH8wSjbkuKSnR//7v/0qSJk6cqGXLlik1NbVb10GuoxsF0IEyMzPVt29fBQKB0Kdw9JYjR47ogw8+0AcffKBjx451+XK33367JGn58uVat25daPu+ffs0d+5c+f1+XXnllR1+Usj+/fv12WefSer8fbLgbNGY7Z5qbm4OvU8a2TZTtOV63759+slPfiJJuuCCC7RkyRIlJnbvFWPkOvrxGkAHOuWUU3TRRRdp8+bNKi8v18UXX9xr1/2HP/xB8+fPlyS98cYbOvPMM7t0uTFjxmj27NlatmyZ7r33Xj355JPq37+/du/eLb/fr6ysLBUXF3d4+fLyckkt7zvVnacg4CzRmO2e2rFjh5qbmzVgwACNHDkyLPtEdAlnrs8+++wTXuYXv/hFqCwePHhQ119/fafrf/3rX7fZRq6jH48AOtSUKVMkSX/9618jPMkX7r77bj399NO66KKLVF9fr9raWp1zzjmaM2eOfvWrX+nUU0/t8LJ/+ctfJH1xXDBXNGa7J4LHceWVV+qUU06J8DSIlGjK9TvvvBP637W1tXr33Xc7/a895DoGWDhpDQ0NVllZmVVfXx/pUdrw+XxWYWGh5XK5rN27d/fqdVdVVVkul8s6cOCA5fP5rLKyMsvn8/XqPo5XV1dnZWdnW/n5+VF5W1uWZdXX11tlZWVWQ0NDpEfpFWQ7PNk+duyYVVBQYH3961+39u3bZ9t+Tha5Dp9w5Tq4LzuzHe25tiznZftk8AigQyUkJGjOnDmSpFWrVvXqdW/ZskWDBg3q9LN9e9O6devk9Xo1a9asqH6jVISHk7L9pz/9SZ999pkmT56sc845Jyz7RHQi1wg3CqCDTZ48WcOGDdPatWt77Z3Y33nnHf33f/+3/t//+38dfmJHb2pubtavfvUrDRw4UDNnzrR9f4gNTsi2JL3wwgtKSkrSrbfeGpb9IbqRa4STMQXQ6/VqwYIFys/PV0FBgUpKSk54mf379ys3N1dbtmwJw4S9LzExUYsXL1ZjY6OefvrpXrnO7Oxs/eIXv9C3vvWtXrm+E3nxxRe1f/9+PfDAA6GPgsMXTMy15Ixsv/baa3r33Xd111136dxzzw3LPmOJidkm1wgnYwrgkiVLVFVVpRUrVmjRokVaunSpNm7c2OlliouL5fF4wjShPXJycnTzzTdr5cqV+vDDD3t8fSkpKRo9enTPB+uCQ4cO6dlnn9XkyZN1xRVXhGWfscbUXEuxne1jx47piSee0De+8Q195zvfCcs+Y42p2SbXCBcj3gbG4/Fo9erVWr58ubKyspSVlaWamhqVlpZq3Lhx7V7md7/7nRoaGsI8qT3uuusu3XXXXZEeo9sGDBigrVu3RnqMqGV6rqXYzfYpp5yi119/PdJjRC3Ts02uEQ5GPAJYXV0tn8/X6mPG8vLytH37dgUCgTbr6+rq9Nhjj+nBBx8M55hAt5BrOBXZBuxnRAF0u90aOHCgkpKSQtsGDx4sr9erQ4cOtVm/ePFiTZ06VV/72tfCOCXQPeQaTkW2AfsZ8RRwY2NjqxOJpNDXzc3Nrba/9dZbKi8v1+9///suX38gEJDf7+/5oDEoeNymHn9Qe49K2M3uXEtk+/h/TRSJXEucs+1GtiOX7WhiRAFMTk5uc9IIfp2SkhLa1tTUpPvvv1+LFi1qtf1Eamtre2fQGFZZWRnpEYxjd64lsi2R7UjgnB0eZNtsRhTA9PR01dXVyefzhT7Q2u12KyUlpdVbi+zYsUMfffSR7rjjjlaXv/nmm1VUVNTh60syMjKUmppq3wFEMb/fr8rKSmVnZyshISHS40TM0aNHw/5Lxe5cS2Tb9GxHItcS52y7ke3IZTuaGFEAMzMzlZiYqIqKCuXn50uSysvLlZ2drfj4L14GOXLkyDZ/wTR27Fj96Ec/0pgxYzq8/vj4eGN/iIISEhKMvg2Oz1G42J1riWxLZmc7ErmWOGeHC9k2mxEFsE+fPioqKlJxcbF+/OMf67PPPlNJSYkeeeQRSS33LPv166eUlBQNGTKkzeXT09OVlpYW7rGBTpFrOBXZBuxnTAWeP3++srKyNGvWLD3wwAOaO3euxo4dK0kqKCjQhg0bIjwh0H3kGk5FtgF7xVmWZUV6iFjl8Xj0/vvvy+VyqV+/fpEeJyL8fr8qKio0atQoY59KkKQjR45o9+7dyszMVN++fSM9To+RbbItkWunItvOy/bJMOYRQAAAALSgAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGCMKoNfr1YIFC5Sfn6+CggKVlJR0uPZPf/qTpkyZotzcXE2aNElvvPFGGCcFuodsw6nINmAvIwrgkiVLVFVVpRUrVmjRokVaunSpNm7c2GZddXW1br/9dl111VVat26drrnmGt15552qrq6OwNTAiZFtOBXZBuyVGOkB7ObxeLR69WotX75cWVlZysrKUk1NjUpLSzVu3LhWa3//+9/roosu0syZMyVJQ4YM0ebNm/Xqq69q+PDhkRgf6BDZhlORbcB+ji+A1dXV8vl8ys3NDW3Ly8vTs88+q0AgoPj4Lx4EnTp1qo4dO9bmOo4cORKWWYHuINtwKrIN2M/xBdDtdmvgwIFKSkoKbRs8eLC8Xq8OHTqkQYMGhbafd955rS5bU1Ojv//977rmmms63UcgEJDf7+/dwWNE8LhNPf6gQCAQ9n2SbXuR7cjkWrI/2ybnWiLbUuSyHU0cXwAbGxtbnUQkhb5ubm7u8HIHDx7U3LlzNXr0aF1++eWd7qO2trbng8a4ysrKSI9gHLIdHmQ7/OzONrluQbbN5vgCmJyc3OaEEfw6JSWl3cscOHBAN954oyzL0pNPPtnq6Yb2ZGRkKDU1tXcGjjF+v1+VlZXKzs5WQkJCpMeJmKNHj4b9lwrZthfZjkyuJfuzbXKuJbItRS7b0cTxBTA9PV11dXXy+XxKTGw5XLfbrZSUFPXv37/N+k8//TT0YuJf/vKXrZ5q6Eh8fLyxP0RBCQkJRt8GJypSdiDb4WFytiORa8n+bJPrFmTbbI6/BTIzM5WYmKiKiorQtvLycmVnZ7cJgMfj0U033aT4+Hi9+OKLSk9PD/O0QNeRbTgV2Qbs5/gC2KdPHxUVFam4uFg7duzQpk2bVFJSErq36Ha71dTUJElatmyZ9u3bp0cffTT0PbfbzV+TISqRbTgV2Qbs5/ingCVp/vz5Ki4u1qxZs5Samqq5c+dq7NixkqSCggI98sgjmjZtml577TU1NTVpxowZrS4/depULV68OBKjA50i23Aqsg3YK86yLCvSQ8Qqj8ej999/Xy6XS/369Yv0OBHh9/tVUVGhUaNGGftaEqnlPcd2796tzMxM9e3bN9Lj9BjZJtsSuXYqsu28bJ8Mxz8FDAAAgNYogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYhgIIAABgGAogAACAYSiAAAAAhqEAAgAAGIYCCAAAYBgKIAAAgGEogAAAAIahAAIAABiGAggAAGAYCiAAAIBhKIAAAACGoQACAAAYxogC6PV6tWDBAuXn56ugoEAlJSUdrn3vvfc0Y8YM5eTk6KqrrlJVVVUYJwW6h2zDqcg2YC8jCuCSJUtUVVWlFStWaNGiRVq6dKk2btzYZp3H49Ett9yi/Px8rV27Vrm5uZo9e7Y8Hk8EpgZOjGzDqcg2YC/HF0CPx6PVq1dr4cKFysrKUmFhoW666SaVlpa2WbthwwYlJydr3rx5Ou+887Rw4UKdeuqp7Z50gEgj23Aqsg3Yz/EFsLq6Wj6fT7m5uaFteXl52r59uwKBQKu127dvV15enuLi4iRJcXFxGj16tCoqKsI5MtAlZBtORbYB+yVGegC7ud1uDRw4UElJSaFtgwcPltfr1aFDhzRo0KBWazMyMlpdPi0tTTU1Ne1ed/BEZPJTDcHb4OjRo4qPd/z9iQ4FM/DlX052Itv2ItuRybVkX7bJdQuyHblsRxPHF8DGxsZWJxFJoa+bm5u7tPbL64K8Xq8kaf/+/b01bsyqra2N9AhRwev1KjU1NSz7ItvhQbbDm2vJvmyT69bIdvizHU0cXwCTk5PbnAiCX6ekpHRp7ZfXBZ122mkaOnSokpOTjb0XhRaBQEBer1ennXZa2PZJtmG3SORasi/b5BpBkcp2NHF8AUxPT1ddXZ18Pp8SE1sO1+12KyUlRf3792+z9sCBA622HThwQGeccUa7152YmKi0tDR7BkfMCfe9SLKNcIjEoyN2ZZtc43imPvIX5Pi7QJmZmUpMTGz1guDy8nJlZ2e3uQeYk5Ojbdu2ybIsSZJlWXr33XeVk5MTzpGBLiHbcCqyDdjP8QWwT58+KioqUnFxsXbs2KFNmzappKREM2fOlNRyr7KpqUmSNG7cONXX1+vhhx9WbW2tHn74YTU2Nmr8+PGRPASgXWQbTkW2gTCwDODxeKx58+ZZo0aNsgoKCqyf//znoe+5XC5rzZo1oa+3b99uFRUVWdnZ2db06dOtbdu2WfPnz7fy8vKsMWPGWC+88EKH+9m5c6c1ffp0a+TIkda0adOsyspKOw8rbJqamrp8G8yZM8dyuVyt/tu8eXMYp7WX1+u1rrzySuvtt9/ucE04c0C2e4Zsf8Ep2Z42bZp16623Gp1ryyLbx4u2bEcLIwpgTzz44IPWpEmTrKqqKuv111+3cnNzrVdffbXNuoaGBmvMmDHW4sWLrdraWuuhhx6yLrnkEquhoSECU/eurt4GlmVZhYWF1ssvv2x99tlnof+8Xm+YJ7ZHU1OTddttt1kul6vDE0ks5YBsk+0gJ2WbXLcg2y2clO3eRgHsRENDg5Wdnd0qNE8//bR1/fXXt1m7evVq67LLLrMCgYBlWZYVCASswsLCVvdSY1F3bgOv12tlZmZae/bsCeeIYVFTU2NNnjzZmjRpUqcnkljJAdkm20FOyja5bkG2Wzgp23Zw/GsAe4J3o+/ebbBnzx7FxcXpnHPOCfeYttu6dasuvPBCrVy5stN1sZIDsk22g5yUbXLdgmy3cFK27UAB7MSJ3o3+y2u//LYDaWlp+uSTT8Ixqm26cxvs2bNHqampmjdvngoKCjR9+nT9+c9/DvPE9rjuuuu0YMEC9enTp9N1sZIDsk22g5yUbXLdgmy3cFK27UAB7ISdn7QQK7pzG+zZs0dNTU0qKCjQ888/r0svvVS33nqrKisrwzZvpMVKDsg22e6uWMgBuW5BtrvHyVnojOPfCLon7PykhVjRndvg+9//vm644YbQO6sPHz5cO3fu1KpVq5SdnR2egSMsVnJAtsl2d8VCDsh1C7LdPU7OQmd4BLATx78bfVBvfdJCrOjObRAfH9/mY3WGDRumTz/9NCyzRoNYyQHZJtvdFQs5INctyHb3ODkLnaEAdoJ3o+/ebfDDH/5Q8+fPb7Wturpaw4YNC8eoUSFWckC2yXZ3xUIOyHULst09Ts5CZyiAneDd6Lt3G1x22WVav3691q1bp71792rp0qUqLy/X9ddfH8lDsF0s5oBsk+2uiLUckOsWZPvETMlCpyLz7jOxoyeftLBz584ITNz7unMbrFq1yho7dqw1YsQIa+rUqdbWrVsjMLG9vvx+UrGaA7JNtr/MCdkm1y3IdmtOyHZvi7Os/3vMEwAAAEbgKWAAAADDUAABAAAMQwEEAAAwDAUQAADAMBRAAAAAw1AAAQAADEMBBAAAMAwFEAAAwDAUQAAAAMNQAAEAAAxDAQQAADAMBRAAAMAwFEAAAADDUAABAAAMQwEEAAAwDAUQAADAMBRAAAAAw1AAAQAADEMBBAAAMAwFEAAAwDAUQAAAAMNQAAEAAAxDAQQAADAMBRAAAMAwFEAAAADDUAABAAAMQwEEAAAwDAUQAADAMBRAAAAAw1AAAQAADEMBBAAAMAwFEAAAwDAUQAAAAMNQAAEAAAxDAQQAADAMBRAAAMAw/x+otPV8Rsf5hAAAAABJRU5ErkJggg==","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["fig, ax = plt.subplots(2, 3)\n","fig.subplots_adjust(hspace=0.4, wspace=0.4)\n","for i in range(2):\n"," for j in range(3):\n"," ax[i, j].text(0.5, 0.5, str((i, j)), fontsize=18, ha='center', va='center')"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"DqotgWbgFE7Y"},"source":["The command `plt.subplots_adjust()` can be used to adjust the spacing between subplots (in this case, the space is set to 40% of the subplot width and height). We can then use the subplots to plot different figures:"]},{"cell_type":"code","execution_count":36,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":430},"executionInfo":{"elapsed":972,"status":"ok","timestamp":1683112940287,"user":{"displayName":"phonchi chung","userId":"13517391734500420886"},"user_tz":-480},"id":"P-8wQYtyFE7Y","outputId":"b09ade67-5a8b-47df-c4d0-7ec71efc9a83"},"outputs":[{"data":{"application/vnd.jupyter.widget-view+json":{"model_id":"51a4484de7944298a5de1673be8af8ba","version_major":2,"version_minor":0},"image/png":"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","text/html":["\n","
\n","
\n"," Figure\n","
\n"," \n","
\n"," "],"text/plain":["Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"]},"metadata":{},"output_type":"display_data"}],"source":["fig, ax = plt.subplots(2, 2, figsize=(8,8))\n","fig.subplots_adjust(hspace=0.4, wspace=0.4)\n","\n","x = np.linspace(0, 10, 1000)\n","ax[0,0].plot(x, np.sin(x))\n","ax[0,1].plot(x, np.cos(x))\n","ax[1,0].plot(x, x**2)\n","ax[1,0].set_xscale('log') # Set the scale to log scale\n","ax[1,0].set_yscale('log')\n","ax[1,1].plot(x, x**2);"]},{"attachments":{},"cell_type":"markdown","metadata":{},"source":["> ### Exercise 2: Try to plot the function $\\frac{1}{x(x-1)}$ within the range -2 to 3 with evenly spaced points. Try to set the point at the discontinuity to `np.nan` so that the point won't be plotted in the figure for better visualization purposes.\n","\n","Hint: You can use `np.close(x, discontinuity, atol=threshold)` function to find the index of the point closest to the discontinuity. On the other hand `y[y>threshold]; y[y<-threshold]` may also be used."]},{"cell_type":"code","execution_count":null,"metadata":{},"outputs":[],"source":["# Your code here"]},{"attachments":{},"cell_type":"markdown","metadata":{"id":"ID31pj5CFE7Y"},"source":["In summary, `Matplotlib` is a data visualization library for creating visualizations in `Python`. It provides a wide variety of customizable plots, charts, and graphs, making it a powerful tool for data analysis and communication. With `Matplotlib`, we can create line plots, scatter plots, histograms, and many other types of visualizations. You can customize the appearance of your plots with a wide range of options, including color schemes, fonts, axes labels, and annotations. Refer to [https://matplotlib.org/cheatsheets/](https://matplotlib.org/cheatsheets/) for more details."]}],"metadata":{"colab":{"provenance":[]},"kernelspec":{"display_name":"base","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":"3.9.13"},"vscode":{"interpreter":{"hash":"1561eddc5e0c9c74df968f74d5080d02882967127f956e6e7049c43d2ef42321"}}},"nbformat":4,"nbformat_minor":0}