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<div style="overflow:auto;">
<p style="float:left;margin:0;"><b>CSE2215</b> - Computer Graphics</p><p style="float:right;margin:0;">Elmar Eisemann, Ricardo Marroqium, Mathijs Molenaar</p>
</div>
<hr>
<br/>
</head>
<body>
<header id="title-block-header">
<h1 class="title">Final Project - Part 2</h1>
</header>
<p>This second part of the project will be performed in groups of three. When you read this document, you should have been assigned to a group already. Please get in contact with your group members to discuss your planning before next week Wednesday 14th of October. If you do not, your group members can inform us that you are inactive and we might remove you from the project. Similarly, use the time to make a rough planning on who is working on what part. If you cannot agree, please inform us before this date. This project part accounts for 70% of the final project grade - 30% were already obtained with the individual elements (Part 1 + Blender).</p>
<p>Before we start, some <strong>important general points</strong> to keep in mind:</p>
<ul>
<li>Copying code is fraud if it might look as if it is your own. This includes code from others or internet sources and holds even if you modify the code or translate it from another language.</li>
<li>All external resources should be clearly identified in the report <strong>and</strong> your code (in the form of comments). Please provide specific links to the websites, YouTube videos, book chapters, articles,etc that you use (e.g., “wikipedia” would not be a valid reference for the Wikipedia page of the Phong Model, you should include the link). The use of external resources, if containing code, might result in a deduction.</li>
<li>Only one common submission is expected per group but the grades can be individual. We will rely on your work distribution overview. If the differences do not exceed 15% in terms of the associated points, we will consider that the workload was well-balanced and the members will receive the same grade. Otherwise, the grades will be adapted.</li>
<li>There will be no presentation of your project but <strong>some</strong> groups will be contacted for a post-submission interview. In the case you are interviewed, you can expect to receive an invitation email up to 10 days after you handed in your project. If you are invited, your grade will be withheld until after the meeting. The interview will be scheduled together to make sure everyone is available.</li>
<li>Each group member should be able to explain any part of the code that they were involved in. For example, if you contributed to “soft shadows”, you need to be able to explain <strong>all</strong> code related to “soft shadows”. Otherwise your breakdown needs to be more precise.</li>
<li>Please use GitHub to create a repository. Please be careful to <strong>make your project private!</strong> as it may otherwise be considered as “sharing code”. You have to make this repository also available to cg-githubUser.</li>
<li>The deadline is the 30th of October 2020 at 23:59. Please upload early to avoid problems with Brightspace or the internet. You can upload multiple times but only your latest submission will be kept.</li>
</ul>
<h2 id="basic-description">1. Basic description</h2>
<p>In this assignment, you will build upon the intersection tests that you implemented in Part 1 by creating a fully functional ray-tracer.</p>
<p>The user interface enables you to choose from a selection of test scenes to work with, including a custom scene. It initially loads a scene custom.obj in the data folder. If you like to load your own scene, you can simply overwrite the corresponding custom.obj with your own scene (please note that you should not rename your obj material file (MTL), as the original filename is mentioned within the obj file itself).</p>
<p>The provided framework is similar to the code you worked with in Part 1, so you can import your intersection methods to the new code. Note that the sphere, triangle and mesh intersection methods now have an additional (output) argument <code>hitInfo</code>. <code>HitInfo</code> can be used to store information about an intersection point that can then be used for shading, such as the surface normal and the material. Please see the Appendix for a more detailed description about Materials. You can store this information after a successful intersection test.</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true"></a><span class="co">// Defined in ray tracing.h; You are free to change it and add information.</span></span>
<span id="cb1-2"><a href="#cb1-2" aria-hidden="true"></a><span class="kw">struct</span> HitInfo {</span>
<span id="cb1-3"><a href="#cb1-3" aria-hidden="true"></a> glm::vec3 normal;</span>
<span id="cb1-4"><a href="#cb1-4" aria-hidden="true"></a> Material material;</span>
<span id="cb1-5"><a href="#cb1-5" aria-hidden="true"></a>};</span>
<span id="cb1-6"><a href="#cb1-6" aria-hidden="true"></a></span>
<span id="cb1-7"><a href="#cb1-7" aria-hidden="true"></a><span class="dt">bool</span> intersectRayWithTriangle(<span class="at">const</span> glm::vec3& v0, <span class="at">const</span> glm::vec3& v1, <span class="at">const</span> glm::vec3& v2, Ray& ray, HitInfo& hitInfo);</span>
<span id="cb1-8"><a href="#cb1-8" aria-hidden="true"></a><span class="dt">bool</span> intersectRayWithShape(<span class="at">const</span> Mesh& mesh, Ray& ray, HitInfo& hitInfo);</span>
<span id="cb1-9"><a href="#cb1-9" aria-hidden="true"></a><span class="dt">bool</span> intersectRayWithShape(<span class="at">const</span> Sphere& sphere, Ray& ray, HitInfo& hitInfo);</span></code></pre></div>
<h3 id="compilation">Compilation</h3>
<p>For a start, you can compile the code and test the application. Please note that you can compile the code in two different modes “Debug” or “Release”. When compiled in “Debug” mode, there are a lot of additional tests that are done behind the scenes, e.g., if you are accessing a std::vector, it always checks that you stay within its bounds. It is very useful to compile in “Debug” mode when developing code to ensure that all these tests are performed. Nevertheless, once the code is working, you should switch to “Release”. If you now compile the code, it will be highly optimized and result in a tremendous speedup. Especially, when working with complicated scenes, it is a good idea to rely on “Release” mode. In the same spirit, when in “Debug” mode, you should rather work with simpler scenes to avoid long wait times. Whatever the mode, once compiled, we can launch the application.</p>
<h3 id="rasterization-mode">Rasterization mode</h3>
<p>From the menu, you can choose a “Rasterization” and a “Raytracing” view mode. The OpenGL Rasterization mode will be used for debugging and interaction. The “Ray traced” view mode will launch actual rays per pixel. You can also click the “Render to file” button to render to a file instead.</p>
<figure>
<img src="data:image/png;base64, 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" style="width:50.0%" alt="" /><figcaption>Screenshot of the raster view.</figcaption>
</figure>
<p>By pressing <code>r</code> when in “Rasterization” mode you can launch a single debug ray through the mouse cursor. Throughout the project, you will be asked to implement this debug functionality, as it is a useful way to illustrate how the ray progresses through the scene; you can visually inspect if reflections are going in the right direction and the correct material properties are recovered.</p>
<p>The visual debugger can be implemented in the same function (<code>getFinalColor</code>) as the rest of your ray tracer. For the exercises you should always include both the ray-tracing implementation, as well as the realization of a visual debugger. The latter is always the element to start with. By having visual feedback of your calculations, you are able to catch bugs early on in the development. Experiment with the debugging outputs. For example, you can color the ray to illustrate the current depth with respect to the number of reflections, or you can draw a line to show each normal of the surfaces that are encountered by the ray. You might notice quickly that these types of outputs are very useful when debugging your work. Not all functionality of the visual debugger has to be available at once during the execution of your program. You can comment your visual debugger code in and out depending on the part of the code that you work on and which you like to debug (alternatively, it is very easy to extend the interface by adding an option: <code>int v; ImGui::DragInt("Label", &v);</code>).</p>
<p>You can also insert, remove and modify light sources using the GUI in Rasterization mode. The light sources will be used for ray-tracing. But please note that the illumination in Raterization mode will not necessarily correspond to the illumination in Ray-Trace mode. Here, we just placed a single light source for the scene to have some illumination.</p>
<h3 id="ray-trace-mode">Ray-Trace Mode</h3>
<p>To produce an actual ray-traced image, you switch to the “Ray Traced” view mode. Here, the program will generate one ray for each pixel on the screen. Ultimately, for each such pixel, you will compute a RGB colour value by determining the light that is reflected towards the camera pixel, taking reflections, shadows and other effects into account. This should be implemented in <code>getFinalColor(...)</code> in <code>main.cpp</code>.</p>
<p>If you press “Render to file” the image is ray traced and written to a file <code>render.bmp</code> in the root folder of the project. This functionality is also available in the rasterization mode which is useful if the ray traced mode is too slow. <strong>Make sure the path to this folder does not contain any special characters (only ascii characters)</strong>.</p>
<p>For a simple scene, the Ray-trace mode might be interactive but as soon as the amount of geometry increases and the effects become more complex, the process will be costly. In consequence, you will also be asked to create a data-structure to accelerate your ray-tracer, as we will outline in detail below.</p>
<p>When a scene is loaded, it is centered and scaled to a <code>[-1,1]x[-1,1]x[-1,1]</code> volume. Hereby, the placing of the light sources in the scene via the interface is facilitated. Via the interface, you can add light sources, change their type/color or move them around.</p>
<p>Additional advice regarding the code and use of specific classes can be found in the appendix of this document.</p>
<h2 id="standard-features">2. Standard features</h2>
<p>If you have completed the entire individual project successfully, you have already gathered three points of the final grade of the project. The minimal project grade to complete the course is a 5.0 (see the studyguide). Below, you will find a list of features with an indication of how many points they represent. You are free to work on other features but you <strong>have to first finish the standard features</strong> as outlined below.</p>
<p>Assuming that you have obtained 3 points from the individual assignment, each group member needs another 3 points to reach a 6.0. Below, we list the <strong><em>standard features</em></strong> whose points are shared among those that contributed to the realization. For example, if all three members implemented the recursive ray tracing (1.2 points total) together and contributed equally, each one would receive 0.4 points.</p>
<ul>
<li>[0.5] shading using Phong Illumination Model with visual debug function</li>
<li>[1.5] recursive ray-tracer (reflection ray, shadow rays) with visual debug</li>
<li>[1.0] hard shadows with visual debug</li>
<li>[1.5] soft shadows with spherical lights with visual debug</li>
<li>[6.0] acceleration data-structure without pointers and with visual debug</li>
<li>[1.5] report including timings of your implementation</li>
</ul>
<p>Note that each of these standard features consists of the actual feature to be implemented, as well as a visual debugger, whose importance was outlined above. The indicated points are the maximum, assuming that the implementation is entirely correct.</p>
<p>When testing your implementation, we will use Visual Studio on Windows to compile your work, as for the assignments. Please note that you <strong>should not</strong> (and do not have to) use any external libraries. If you do, please make sure that your project can be compiled without any extra efforts or it might affect the grading.</p>
<h3 id="shading-with-visual-debugger">2.1 Shading with visual debugger</h3>
<p>In <code>getFinalColor(...)</code>, at an intersection point, you should compute the direct illumination using the Phong Model for all light sources in the scene. You can access the light sources via <code>scene.pointLights</code> and the material parameters can be passed along by the intersection function using the <code>HitInfo</code> struct as described above.</p>
<p><strong>Visual debug:</strong> draw the camera ray using the <code>drawRay(ray, color)</code> function that is defined in <code>draw.h</code>. This function can be called from within <code>getFinalColor(...)</code>. Tip: call <code>drawRay(...)</code> after you intersect the ray so the ray has a length (<code>ray.t</code>).</p>
<figure>
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+/j0A0K96EUvvr3pTfw3FAAAEAsQZeei8omXvPK1T3/SV3zE9HD0xPRP7Y3PfeHtyV/zgbfX/0QbxcYWe941+cxFKih85Fz3PXeCAewU//yJZ05bQL9+42/8iNvP//zPDoXvm6c9uIKy/x2R0P9bKOdPhrUXv5j/ng5wZb4FiPL0b/5R+Y/V7X7Pf8tTt9vb33p7z1/30mlPm2L/X/yUjuayd1fDV0vr3mLPkf/qOnr3a3/tS29vf/vbbm95y5umPUAOIQVF2SIEwHWF3AUxiYWIYvZ/tyHe69/95O3Zz3o2xUgiqvjQkUKudd/zJkpup6EYQa9UEfKsZz3r9nM/99O3J57gog/Xxt0Q4Jo2CxCP68bNQkQx8zxv+GGri5GXfNhvvr34/T/o9tz3eE+nf5tWaYmum6O1Mo8kTrUYwI/6t2O9x/B59/7v/4H3X8eiCEFZPq8zXpMA8oq9C2IS/0bEZn6svXOINz/3Bbe3vfDFt3e+4D1uz3zhe4wHsOkMPxZyruH1T7RXzAI29W/HUn+Y/uY3P3n/dSyKkOsq+zcipqOf8nVek9wRAa5BLD60gCJE/Y2IUyGilPh4Sz1GynxxuZ4I7h/Sz6ePd1uHDkdNpON/5ZlpfkUNAHKrV4go0k97n0/y9ChEgPPbLEIifmNm84/VJRHjVNPOnMNnknsN3vkTTKid5wUAeqOKDjsAII/NX8NSElzQef1OTHMXxQ5S5YzNk/vcmXzHcm2fup3p899V/r/5AgAhuAMw41wA57VbgIRc7Am8ChEl0bibcuRPlTMuz9PB/UP65TiPyj2vQ/KjJtJxihEAAIC6ct8FMXkXIkriOazkyJ8qZ1yedouRVOfHR40xAQAAsLZbgCgZLtyCChEl90VkjvypcsblKVuM+HDNf2/n0DhkvtwVAYA+8GtZwHkcFiAhF3UOggsRJdOcHnLkT5UzLk/uMzfLOlKC5FIKihEAreMiHMAZ1LgLYooqRJTcl9S589cSuq6Qfj59XNumbmejGAGAdlGIAX1zKkBCL+I8RBciSu55ps6fKl9cnuv8itaR3OsBAADAaLcAUQpemCUpRJTcc06dP1W+uDzlipHU52/hIHno2NwVAdAy7goA6MnhXRAl6wXjWrJCRMk999T5U+WLy1PuGfcZybVtqnZbxylGAKAtFGBAf5wKENeLuoSSFiJK7nWkzp0qX0ye0L45z7Pimv/eLsFkcq8HAFK72kU5RQjQlxbvgtxNYyYvRLSca0qdu/4F8El+RetA6NjcFQEAAHDnVIAoNS4MjTGzFSJKzrWlzp0iX1yO8GLEl884rm3v7RIsYCsFxQiAVl3lLgF3Q4A+OBcgCa7bvAhjZi1ElJxrTJ07Rb64HGG9c55jbweTiZkrxQgAAICsl7sgpuyFiJJzvTXO5ZGYOYXeF/Ht5dPetW2qdr5rAYDazn63gLshQNt6ugtiKlKIKL1cXKaaZ0ye0L6+/Xzau7a9twtdgAPuigBAWRQhQLt6vAtiKlaIKLnOQeq8qfKF52nz70W8HCQ+GnfvOMUIgBad8YKdIgRok3MBopS6qNTUeI5j3ldQcn65xkqdt+Q5kYUVIznn7Zo71RzqPwcA4OdMF+4UIUCbvAqQ0hdTnuM9VlJynrnGSp03Rb64HGG9fXv5tHdte2930Nh3nibuigBoFRfwAHI4y10Q02I1Jeeca6zUeVPki8kR2te3X+rz5upo3L3jFCMAWtVzMaLmTjEFtMO7ACl9URcx3mpVJeeea6zUeVPkC89R7u9FXLnO596utckDQCE9XsxTgABtcS5AlNLXXGq8yDHF1ZVcR66xUudNkS88R5m/F/Fp75X7oPFRrr3j3BUB0LKeLuwpQoB2eN0FUbwuzBJINN7mCkuuJ9dYpZ+TvMJW49sr9Tkr8RxQjABoWQ8X+BQhQDu8C5ASF1ta4vF2V1p6XTmkzJsiV0yO1n5Jy3U293YHjY9yHR3/AooRAA1r+UKfIgRow1Xugig61eFqVcNS68w1Tsq8KXLF5Ajp69vHp71X7oPGR7n2jnvNAwAqUBf8LV30tzYf4KqCCpCSFz6JxzNTOa+61HpzjZMyb4pc4Tna+3sRF6nzSbgrAqAHtS/+KUCAdngVIEqJCypTwvFUKjud1+pLrT3XOCnzpsgVnqOt/9iha957u4PGR7n2jqtjFCMAeqCLgZIFAQUI0A7vuyDK0UVSSmqshONtpfI8A+XOQa5xUuZNkSs8R/5nwmeE/LNx08o8AMBV7gKBAgRoS1ABUvICJ+FYR1P3LkSUUuci1zgp85Y6F5KQsX37pF7fPd9B0qMxj45zVwRAj3TBEFs0mHlicwFIh7sga0+85JWvffoTv+Ijpod+npj+mVuucVLmjc0V3v+JoL6+fVzbu7R7tDlovHf4aBx1/NXPfNb4AAAAoBLv4kMpWYAohQuQu9/yo2F3RLRS56j0c1FD+Br7+3uRFGO75ODOCAAAqKn5IkSNlWg8r1RTw6hCREk090M5xkmZM0Wu8Bz5n4XUI9zzHSQ9GnPveOr5AgAAuAr6NSyl5AVMwrGcU6mGRuPxDEVOJOE6duUYJ2XOFLlCc4T08+3j2t4rb+iCHXFXBAAAlBJVgGS+JnpIOJZXKqHhfKYiJ5RoPYdyjJMyZ6nzsHbOX9E6arN3XB+jGAEAALkFFSCKywVRKgnHck6lGm40Xp6xyMklXNuuHOOkzBmbK7x//mIk5XlS7vkOkqYeEwAAIBXuguw4aLg+a5GT9JpchBxjpMwZmyu8f/6z7zpC/pmM9sbRx7grAgAAUuMuyAbV0KGxfPYcO++J7O4kxxgpc8bmCu0fcl8kx7lUXPLe2xw0TDE/ihEAAJBC8F0QJddFl02Nk2gs51SeY47/HZEv3/nviBz9BxsORHZ3kmOMlDljc4X1z//fF3Ft69Vup/FRnr3j+tiL/uQXT1vpfc2rvnHaAgAAZxRcfCiJigInCcdyTuU75m/9UYdCRDm6AjwQ2d1JjjFS5UyRJyyHfzGSq71Lu3ubg4ZHefaOq2M5C5GroxADALTr6Ari2PN+d0SODouQbAWI5lyIKJHPX/zTfyzHGKlyxuYJ75+3GEnd9t7moOHe4aNjLzwoRA6GBnZRjAFAKu38RKYA2REzplchokS+Jkq8pHKMkSpnbJ7Q/iG/pOXTw7WtS7tHm53GR3n2jr/oT75i2krJZWXu0mYDyqEQA67ufD/BKEI2pBjPuxBRIl9jJV6iOcZIlTM2T1j/vv5e5N7moOHe4b1jeQqRFricWTfpMgHXQzGG/vCpL4kqQJRSRUiPBYgWVIgokc9NiZd8jjFS5YzNE9b/XH8vcpRj6/h5C5HaXJ5Vd2mzARdX8A31NV9LIVYGn5K5dFOAKD0XIUpwIaJFPFcl3kI5xkiVMzZPWP82/l7Epd29zUHDvcN7xyhGzsrlleUmXSYAV3tDbRdjfLK0jrsgG3KtSxcinzAVIkGnP+I5K/GWzDFGqpwxeUL7dvf3IgcN9w5vHXvRn6hUiLgsGp1L9yTzcgES4c1U1Nd87TdNW/2ILkAUihB/diGiBD0VEc9fic+H1GOkzBeTK7TvmYqRoxzS8WqFSAtcTjo6lu4J5qUCJMKbqWnf8i+/edoKRAESbihEVv9VlqBxIyaruuZea+r8uefrKnQercw/hTOtpQh1wmoHMpJOeFiEf0nZwgI4BenFXTKQT6nzm2gcpzSFXzfifx4yaPzISedec+r8qfLF5gnrP14s+PBp79rWpd29je9kDRFdkYt6UmoHMpJOeFiEfUmZwgI4BenFXTLOqNTaEo3jnKbEmiyb/536oLlELiD3+lPnT5UvNk9Yf/9ePj1SnRsXJcfCSagXTc1ARtIJD4vwLylbWADdk17YJSO1HDklCcZxPgXODdPbLESUoDlFLiT3eUidP1W+2Dwh/ccfl3W5zODe5qDh3uH6qwQs6kVZO5CRdMLDIuxLyhQWQPekF7YZPnzbhwiZl8A5RYk17dgtRJSg8xHUaZb7nKTOnypf7nVLfMf0ae/a1qXdvY3vZA1mV7UdG0D3pBd26UAm0skOi/AvKVtYANWVejEmGMN5qqXWtGUa+7AQ0YLmGrHA3Ocmdf5U+WLyhPUdf2D48Gmf6ry4cB9LtdwKN1LP0gF0T3phlw5kIp3ssAj7kjKFBS6uxIsg0YvNKUWisYJZ4zsXIkrQvCMWm/s8pc6fKl9MnrC+44e2jxrn7t4mYmC3rqpV7XAj9SwdQPekF3bpQAbSiQ6L8C8pW1igglInP8EYzlMtsZ4tG5P0KkSUoDVELDz3OUudP/d8XYTNId/MXTO7tLu32Wl4lMN1LnWpWdYON1LP0gF0T3phlw5kIJ3osAj7kjKFxeWUWHSik+uUItFYQQ7G9i5ElKC1RJyA3Ocudf4U+WJzhPT37ePTPsU5cVVyrPNSZ7GFOCb1qhFA16QXdclABtKJDovwLylbWBRTYrAEYzifl6Inz+IwdlAhojifAFPEych9HlPnT5Ev95rXxg8NHzXO271NzMCqb+2AI+nklQ43Us/SAXRLekGXDmQgneiwSPe1zPyw2pFBojGcUpRYzxaPsYMLEc17jREnJff5TJ0/Rb6YHGF9xzepD9f2qdvtSZEjKzXBFgIOpBNXI45JvUoH0C3pBV06UIBw0kuc+wRjGDPe5tQok4CxowsRxXu9EScpsJuz1PlT5IvJEdY331lOlfmeJ980r0OdwxYCDqQTVzqOSb1qBNAl6cVcOi7kW//lt+Rfc4Lz6pwi91r2BI6dpBBRgsYPnLTqlvNcp86dIl9MjpC+vvdFfFq7tHVus9PQZ06oTD1ZtQMOpBNXI45JvUoH0CXpxVw6ziLBWpxS1DxvkWMnK0SUoHlETD7nOU+dO0W+mBwhfX37nO2c4WLUi6WFgAPpxJWOY1Kv0gF0SXox54hcEuR3TpFzHXsSrFFJWogoQfOKWEiCc7Apde4U+WJy+Pf1/3sRV6ny3vMcJMu1BiAL9YJtIXBAOmml45jUq0YAl5HgBe+UotabK/G4yQsRzXuOEYvK+TzkzN0Hv2IkdVvnNh4Dq6Z2ALBIb5TSgQPSSasRx6RepQPIKsELzSlFgnGCZRg3WyGieM83YoE5n5OUuVPkiskR1tevV8rzpZQ4Z+p4CwHAIL1JagQOSCetdByTepUOnFSCJ9cpRa0XUcYXcNZCRPGed8RCcz4/KXOnyBWTI6Svbx/X9inOhXLPc5BsPqy2SoY7qXeNAGCQ3iQ1AjukE1Yj9kk9agQSSXBCnVIkGCdIgXGzFyKK9xoiFp7zfKXMnSJXTA7/vnX/XiTV2LnWsE+N2kK4k3rXCAAG6U1SOnBAOmml45jUq3R0L8EinFLUOlmFxi1SiChB6wk8CTnPXcrcKXLF5PDvm+/vRVwc5bsfdxlUtdFxKebCa4Y7qXetADCQ3hw1AjukE1Y6jkm9SkeQqM4jpxQJxglSeNxihYgStLbAk5HzHKbMnSJXzrWu+Y3m2jrVGu55fJKpti3EpUgnoFa4k3rXCAAD6c1RI7BBOlkthqeALibnUSPHCeI8ubSKFiKa9zoDT0zO85kyd4pcoTlC+uX6jx26tAtdp+nJV339tNUQtbBW4lKkE1Aj3Em9awSAgfTmKB3IL8G5dupe4zmtMaYxaJVCRPFec+BJynluU+ZOkSs0R0i/nOf1yNHY9+M1J9g7de5aicuQFl8j3Em9awRwedIbo0acVeTanE5PrXNYY0xr0GqFiOK9/sATprrlOtcp8+aaowv/sfP8vUiqc3DPkyoZ6lHPYQtxGdLia4UbqWetAC5NelO0Hntc2hxw6h45RpAEa/MnD3ovRGqcA8177IjJ5lpnyryxuWL6+/f16+Ha2qWdcxu/KQIy9TpqJS5DWnyNcCf1rhEAIkW+kZzeizXesDXGlAY1dj3uiBSfl0GY4j7vDrNc60yZNzZXTH/fvrn+pb4uWZ3b5JkiUId6PbcQlyEtvka4k3rXCKA7CV68Tt1rvEGKjymcTGHX4lezis/R4j1+4IRzrTNl3thcudYo8Rmr5LwWrIHVw5gALk96Y9SKS5AWXivcSD1rBOAk8sXi9Hqr8aIsPqYw4M4cVn8jstO2CO+xAyeba40p88bmCu3v36/e34t4tfGZ5AGVqpUALk96Y9SIy5AWXyPcSD1rBBoV+QQ5dY8cI0jxMTcGPJjD5h+rF527xXvswMnmWmPKvLG5Qvv79+utGFEbodEWaYa1Arg06U1RKy5BWniNcCP1rBWYRJ4Mp+6lT3iVJ1kY0HEem4WIUnwdBu+xAyeba40p88bmCu3v3y/X2Uwj3exUplaiLdIMawVwadKbokZcgrTwWuFG6lkjeuU0/xqLLH5ShUV6rnu3EFE88yXlPXbgRHOtr9Z5k4TOxbefT3vXti7tvHKpb1vRHWkRtaIt0gxrBXBZ0huiVlyCtPAa4UbqWTJCOPULTR4qZkFBhAED53BYiGhF12fxGjtwornWlypvzfPvp+1f0VJ226mDLUVXpAXUjHZIs6sVwGVJb4hacXrSolsMd049/NPGKT2eNGDkHJwLEaXoWi1eYweelFzrS5U3Nk9of/9+eYqRS1Inp5XojrSIWtEOaXY1A7gk6c1QI+Dk8FTVOJ9FxxMWmGjNXoWIkmjcIN7jBkw019pS5Y3NE9rfv1/6M+mSMf2oeFAnt6XoirSAWtEWaYa1Argc6Y3QehTkNGThOZU9D8Jgicf3LkS0YufA4j1uwEQTn+OHVDlj84T29+3nc1/EtaVLu9D1oTPqiW4luiItoFa0RZphrQCwQXrDhMaOg8NOOZIqPZ40WIbxgwsRpej5MHiPGzjRHOtLlTM2T2h/334+7VOdGyVlLuCQesG1FN2QJl8z2iHNrlYAV+L0ui/5xij+RhQGzDiHqEJEyTi3Xd7jBk4yx9pS5YzNE9rfr1/6vxdxzRe6PqB76sXfSnRFWkCtaIc0u1oBpPKX/9W3TVsjp9dY6Rdi0Re9sLgC640uRLSi58rgNW7gJHOsLVXO2Dw51raWfhTXjFvt1P4aAVyO9EaoGd2QJl8r2iHNrlbgPA6fz9JPetHxhMEKjp+sEFGKnTOL17iBk8yxtlQ5Y/OE9PftU+vvRZSQ9eWi5tJSAJcjvRFqRTekydeMNkgzqxUI43T+Sp7gok+oMFjR8UdJCxGl8PwfvMYNPNE51pYqZ465HfEd06d96vWs86k9Oq7LPAstBHAp0pugZnRDmnytaIM0s1rRi8O5ll5QsbGEhZVeqyF5IaLUWo/3mAGTzLGuVDlj8oT29evn9/ciLnzybbdVR1qLa5LORM0ALkV6E9SKbkiTrxVtkGbWYuw6bJCQ04RSsQYqOrYsSyGi1Vib9zkNmGSOdaXKGZMntK9fP/diJHU75dFWbfhEcdIkasY1SWeiZgCXIb0BakYXpInXjA6VnHrR0yQMVmxsmR4+ayGi1Fqn17gBk8yxrlQ5Y/LkWNea+yjNnGfVqbUoSppAzbgm6UzUDOAypDdAreiGNPmWwiDsyqbkWNJgRcdfs4fPXogotdbsNWbABHOsKVXOmDwhfX37pP7j9Zj1dkstuqUoSppA7bge6SzUDOASpBd/zehdyTUUG0t4coRdJW0NX6QQ0Wqs32vMgAnmWFOqnDF5Qvr69kl97nzyPfl13zhtIRn1BLQWRUkTqBnXI52FmgFcgvTi7ylKKDaWMFCxsWXi8MbOooWIUuNceI0ZMEHjfCZT4zzZQubg16fu34vgAtQLoqUoSppAzbge6SzUDACFFXvzCQMVG1smDi/sLF6IKOLkMvMaM3CCqdeUIl9sjpD+fn3cW7u2jF0zkI16cbYWxUiD145rkc5AzQBOrdiL3Bqo8htMHH5nTlUKEa3GefIaM2CCqdeUIl/r57nWf+xQtdkK4DKkN0DNKEqaQM24FukM1AwgiWIvKGugYuPKxOEd5lS1EFFqnDOvMQMmmHpNKfLF5Ei9HkmOMWLX3FoAlyC9+GtHMdLgNeNapDNQM9CZYk+cMFDFF8xqNnqH45yqFyKK41yT8hozYIKp15QiX0yOkL5+fdL/vYgSs+bWqLW0FsAlSC/+mlGMNHjNuBbpDNQMbCh2goSBio29tho6cC5NFCJK4PyjeI0XMLnU60mRLyZHSF+/PhQjvVHntsUATk160deOIqSBa8d1SKvvOZJIlmiPMOOki/CzGjpyLvdCpNJaRKXn4jVewORSrydFvpgcIX39+qQ+YyM5q9pbOlCCdOZrB3Bq0ou+ZhQjDV4zUESR0y0MUmRc2WroRHN53BFJlC+J0vPwWnvA5FKvJ0W+mBwhfX36uN4X8Z3Hqr3akSqcSZ1rB0qQznztAE5LesHXjiKkgQk5AkR09WMNUmzctdXQieey+tWsSutcSbxOJ87jBUwu9VpS5IvJkXo9Ntf8vvPINm+VuMVwInVsIZCbdNZrB3Ba0gu+ZsBPkXNmPTkVn6vV0JnmIv6NSKaxgpSeh9d4npNLvZYU+WJy+Pb1a5/n70WUmDV3Ry22tXAmda4dyE0667UDOCXpxX6lcOXbPog1SJExZauhM89l94/VK52DldLz8BrPc3Kp15IiX8nz6zeWe2vV0id3yTXDop+s1sKJ1LGFQE7SGa8dADIr8mYTBqn0Bl/NRJhaDruFiFJoHodKz8NrLM+JpV5HinyhOUL6+fTx+Y8dKinOBS5KvXhaC2dS59qBnKQzXjuAUyjyghYGKTLu2mrYwvM4LES0CudGVHIeXs+F58S8cjtIkSs0R0g/nz6++VOcC6AJ6sXcWjiTOtcO5CSd8doBeMn+ohFemZVerKthK83DuRBRKs1xpfQcnMcLmFjKtaTIFZojpJ97H9/7Im65VZucAZyS9GJvIZxIHVsI5CKd7dqBBhV5cqwBKr0gVsNWmofmVYhoFef7UPq8OY8VMKmU60iRKzRHynWs+WfPO59javwWAzgl6cVeO5xJnWsHcpHOdu24rCInwBqkyJhrq2ErzcMWVIgoDcz9ruQ8nMcKeHJTrqPkObH5ju3T3v++SN1z0Sp1TloM4HSkF3oL4UTqWDuQi3S2zxyv/olXjxtZ6dEm1sNSVsNWmseW4EJEaWUtJefgNZbnxFKuIzZXTH/fvj7tQ+YVey5QhnqeWgzgdKQXeu1wInVsIdCdrE+b9bqo9DJZDVtpHkeiChGthXWVnIPXWJ4TS7mO2FxtntOQ+yJb+dXelIEzkp7pFgI4FelF3kI4kTrWDpQnnPsKT8VqFsK0WpKkEFFaWGfJOXiN5TmplGuIzRXaP6Sfe59ExYjakTSGb3shdyoUOBvpWW4hgFORXuS1w4nUkZgjJSFnjmEOrIasMAcv09ySFSJaC2suOQfnsTwnlXINsblC+6dcw1rKOyOFqMGrxfBtL+ROBQJnIz3LrQRwCtKLm/CLZKxkyfMfWw1ZYQ5erPklL0SUFs5ByfGdx/KcVMo1xOYK7e/bz6+9Kkb8ZxZ7Lk5JnZQqMXzbC7lTocDZSM9yCwGgN9a7t8KbeTVkhTl42ZhflkJEq30+Sj4nzuN4Tijl/GNzhfb37eff3n9msecChagnqloM3/ZC7lQgcDbSs9xCALBZ744Kb5bVkBXm4EzPbWd+WQsRpYXzU2p853E8T0rK+cfmCu3v28+/vX858uQ3fPO0BQRQL7gqMXzbC7lTocCZSM9wCwGUZ736KrwYV0NWmIMzj7llL0S02ueq1Pge595rUl55D8TmCe3v289/HP9iRLXXAZyC+aIuHsO3vZA7FQicifQMtxA4I+HZLfxkr2YgTKkZAXMrVogotc9dyfGdx/GcUKr5x+YJ7e/bz3+ckF/UGql+rQZwCtKLu0gM345C7lggcBbSs9tCIIRw9gqf0NVwhcf3EjG3ooWIVvs8lhrfeRzPCaWaf2yeUufRX3gx0iq1nlYDOAXpxV0khm97IXcqEDgL6dm9euyzWrh1SmY1XOHxvSSYW5VCRKl9TkuN7zyO54RSzT82T0h/3z5hczxfMdIqdZ5bDaB70gu7SAzfjkLuWCCAHKzXV+GX22q4wuM70/NKNLdqhYhS+xyXGt95DM/JpJp7bJ6Q/r59wuaoipFUZwk9Us9+qwF0T3phF4nh217InQoE+mQ9f4WfztVwhcd3lmleVQsRrfb5LjG+8/PnOZlUc4/NE9Lft0/oHPeLEXXMNYB0pFdYSwF0S3pBF4nh21HIHRuLq7DWW3j5q+EKj+8s87yaKESU2ue/1NhO43iejFRzj80T0t+3T+gcN++NqJ3OMXwrFfIEDgJIR3qFtRJAt6QXdHMxfDtLyAucYmI9zG01XOHxnRWaVzOFiFbzuSg1tvM4HhNKNffYPCH9ffuo9mHz7OgXtfQivWL4VirkCewEkI70CmslADREepOq0MztzOyh1zsaUXhezRUiSs3nptTYzmN4TCbVvEus3xYyZtg8+auRJNRJ9IrhW8mQJ7ETQBrSq6uVADAp+KZYDVVwbGd6ThXm1WQhotV8nkqM7TyGx2RSzTsmT2jfkH5hY1GMnJ56gr1i+FYq5AkcBBBPemW1EsDZrF7bLb7YG5jTvRBp8dxoNedWYlznMTwmk2reMXlKnDstbKzNvxoB8lIvO+8YvpUKeQI7AcSTXlmtBOBj9bpp8YXU0JwWd0RaPFdarXmVOCfOY3hMJNW8Y3KE9A0dL3S9ul+OALokvZh3Y/hWMuRJ7AQQR3pVtRRow+r5aPEJanBO4q9mtXbetJrzKjG20xieE0kx75gcIX1Lj5eLmkvLAXRJejHvxvCtVMgTOAggjvSqIvYjpVXOHIPE0PNpaU6Gzb8RaXXONedVYlynMTxPQop5x+QI6Vt6vCtS56nlALojvZAPY/hWKuQJ7ASALat3SWtvm9bms+Hwj9VbXUetOZU4H875PSaSYs4xOUL6lh4PbVHPYesBdEV6Ee/G8K1kyJPYCaC81auvtZdja/M5cFiIaC2uqea5zj2uc36PiaSYc0yOkL6x46VYM7BFv8ZaDaAr0ot4N4ZvJUOexE7gTFbPamtPc2vz2WPM1bkQUVpdY6055R7X+Xx7TCTFnGNyhPSNnfNu/8UPGvV4I4AOSS/llgLoivQi3o3h21VCPgENh7tVD/8UebU2nz3CXL0KEa3F9dZ6HkqM6TSGx0RSzDkmR0jf2Dm79VetNkL64K0S8vTuAXRGehm3FgAcSG+eRuOv/sS3DxvHdJeH1Y6K9Fxamc+RnbkGFSJKq+uvMacS58Ipv8ckUsw3JkdIX9Wn9Jjt0WdBCLFwqRHy9O4BdEZ6GbcUANJavbdaerO1NJcjeq4H8w0uRLQWz0mtOeUe0ym/xyRSzDcmR2jf2DFTrBt79FkWQixcaoQ8vXsAHZFewi0F0IvVa7alF3FLczniOdfoQkRr8fzUmFPuMZ3yq0aOE0kx35gcoX1j551i3eiZegVshFi41Ah5evcAOiG9fFsLXNvqddDSC6OluezR8wyYa7JCRGnxfNWYU+4xnfM7TiLFXGNyhPZV/WLHNQNoi/0KNUIsXGqEPL17AJ2QXr69BtytzlkrJ1HPo4W5HEkwz6SFiNbi+asxn9xjOuV3nESKucbkqNX3qW/6lmlrzNNDAO2QXqFTiIVLjZCndw/gZKSXOSHHw2pHJa3M44ieZ6K5ZilEtNbOZ4355B7TKb/jJFSz2PnmXu+WWuPWoJ+nlgNoh/QKnUIsXGqEPL17AMijlfdYL+/1TPPMWogorZ3fGvPJPaZTbo8JxM41tH+KcWNzIA39XLQeQBukV+cUYuFSI+Tp3QPoSSuv2x7eP3qOGeeZvRDRWjvfNeaSc0yn3B4TiJ1raP8U5yhFDlyDeq30EEB90itzCrFwqRHy9O4BtKKH12TBORYrRLSWzn2N10LO8Zxye0wgdq6h/VOcI5UjRR6gBfr13HIA9UmvzCnEwqVGyNNbBM6nh+e30hyLFyJKa89F6bnkXL9Tbo8JxM4ztH/suJpTHtUoVwAXIb38WwygLulVaYVYwBDJoiQ1XOEhvVWeY5VCRGvpuanxPOQczym34wRi5xnaX/WLHVs5zqFH2otAUqoWA7gI6eXfWgDoXA9v5kbmWLUQUVp7rkrPJed4TrkdJxA7z5j+Kc6RyhGXR2doPQJJqVoM4AKkl36LAcDS+pujwTdw9UJEa+m8lJ5LzrGccjtOIHaeMf1V39jxlRQ52qbPVA8RQErTYgAXIL30WwugiNZfcA3Pr5lCRGvpPJWcS87XiFNex8Fj51i7v5IiB1JQz0QPEUBK02oAJya95Ak54Kn1k9f6/CbNFSJKS+et9Dxyjed0Th0Hj51jiv4pc+jt3IFeSc9mqxFAStNiAMhKetudMaIlS5RJ6/OzNFmIaK2cy9LzyDnWYW7HwWPnmGKNreRwpcbqJdAr6dlsMQJIaVoMAOfU8nu848+gpgsRrZXzWnIeOV9Ph3kdB4+dY0xfLXYOkOnz2kOgR9Iz2WIEkNK0GADctPyeOcH7uYtCRGnlXJeeR66xnPI6Dh4zx1Try3We0D713PcS6I30LLYanqQULQZQQ8uvwZbn5sqY/70Q6Wktrcy15DxyjeWU13HwmDmmWp/KkyoXkIN+jbYe6JH0TLYYnqQUrQb61/Jz2fvrTM/fWsPjjkhP62tlriXnkWssp7yOA8fML+XaUuYCrki9h3oJ9EZ6FlsNT1IKor2Q7B2r6WjerRPmb+9a/WqW1b5prcy15BxyjXWY13HgmPmlXJvK5ZxPN24tAByS3jqtBnojPYtE/2EQdjWh1Xm50HM35i/setj8G5GtDi1qYZ4lz1eucQ7zOg4cMz/VN+X63HLpUVOPHsmeVusBYJf0tmk1gFNr9YXe8xvQmrt+eLScwz9WP0rQCpfFllBqDrnGOczrOHDs/FKuT+Xyy6d79BKNkKbWcgDYJL1lWg3AS2svmp5fzMLcfZdyWIgovklramGupcbPtdbDnI6Dxs4t9fpS5mqLPlO9RCOkqbUaADZJbxmi37iMXhcsPFnCLmdOhYgWOkgNtedZ8lzlGOcwp+MCU8zNcSgnUi69byuQmnSWW44GSNNqOQAgkPSRkiq+419/x/C9InMyPRHmLewK4lWIaCkGLqGFeZYaP8c4TufPYeBUc0u5Rp9cqm1PgdSks9xqNEKaWqsBALn1+nljzVs/TLmUoEJESz2ZXGrPsdR5yjXOYU6HQVPNK+UaU+ZqiV5XT4FUpLPbcjRAmlbLAaAPvb5vhXnnXEZUIaLlnGAqLcyx1Pg5xjnM6TCoapJqbilzoT79fPYSSEU6uy1HA6RptRzA1fT42hfes8KuLJIUIlqJCceqPcdS4+cY4zCn46Ap55Yi11Pf8m3TFuBGve56CqQind2WowHStFoNIFSPryNhzsKu7JIWIlrJBYSqPccS4+d4MR3mcxww5bxyrBM4E/0e6SWQinR2W47KpCkR54rUcuXNyZqzflhrGVkKEaXmolzVnmOp8VOPcThvxwGLz2uP7uwSALKS3natB1KQziwxBprR49Nizdl6WFW2QkRrZaF7as+xxNg5xtjN6XhSi88rBb22ngJAVtLbruVAb6RnkfCPCAlSFCUsu8UlZC9EtBYXb6s5vxLnJ8cYh/kcBsyx7hxr7Zo+IT0FgGykt1zLAVTT04tQeNMIu5pSrBDRWj4ZSu35lRg79RiH+RwGVE1yrN09r27ZU5yctOTWA0AW0tuNIHzDWVCniqy5tj395eyKFyJauydoVHN+JcZNPcZhPscBc629xDktT62qtzg5acmtBwBg1NPnovU5bj1szPbsqhUiWrsnbVRrbiXOS+r8h3N2HPAwT6C9vPpYC3Fu0opbj5OTltx6AEAqPX22WHO1HjbGbXbVCxGtzZM4Oj6N+eQeN8fadvN5DJZjbkquvKno+fUW5yWttoc4MWm5rQeAtvTy3hQ+R9qdujDZA80UIkq7J3ZUa24lzkvq/Lv5PAfLtf5cea9Kn8/e4ryk1bYeJyYtt/UAzqan17c1z3an7jkzq3lThYjmsZzias4t97ip8+/mCziRAV2c5MiJfujXVU9xXtJqe4iTkpbaegA9s17L1sOGeMzMbCo0b7IQ0Tbm3IRac8s9bur8h7kCBks9R6A3+j3QW5yXtNrW46SkpRKEjhZZ87MeNsRjZh5Nmy5ENMe1VFFrXrnHTZn/MJdqEDBgYDcAlej3bG9xTtJKWw/gJISXdZuvcmGiWzyamrooRLSA9RVRa165x02Z22mugQsK7Lakk5QOAM2T3ro9xPlIqyQIn6jMmkZDM5uYM3KYlUfTLV0VIlrkmrOpNa+cY6Zek1OuwEFTz7UIPeneAkDzpLdu6wGcjvUCtx42wHNGns2PdFmIaInOQXI15pV7zJT5nXOphgEDB3aDD32SewwAzZLesgSRKoqxBrUeNsBzRp7NfXRdiCiZzku0GvPKPWbK3F65Ahfm10UP0ksgmHQ6ewkAQJusz2rrYQM8Z+TZPNS9EMk8RhEFzlWQGnPKOWbK3N7PmXcH9y66XYooQxq5l0Aw6XT2EABwVtbnXFsfe3o2jjPybJ7C445IhbGzaHENNeaUc8zUub3zBUwgoEswPVavkZ80ai+BINKp7CUAwGZ9RlgPK/OYjdnUoXkO4q9mVZxPMi2uocacco6XOrf3+fHuENTlcvQ56jHyk0btJRBEOpW9BIB0rPeW9bAyj9l4NC1h929EGppnsBbXUHo+Oc9Bjrze8w1YYEAXdEA/rz1GftKovQSCSKeyhwAy+Ouv/c5py4P1urQeVuYxG4+mpTn9sXqjc/fS2hpqzCfXeLnWovM65w6YSEAXIAv9Wuw18pJG7CXgTTqNBBEbPqw+ISny0DNxmI1H05qcChGtg/Ucam0NpeeTc7yc6/Cad85FAhDpt12PkZc0Yi8BXIj10rceVuQxE4+mrfAqRLQO17nS2txLzyfXeLnXofI7j+HR+Klve/Xc3nkAAGdgvvV7i7ykEXsJwIH1krEeVuQxE4+mLQoqREwdr725uZeeT67xSqzDa4yQCek+vQaAS5De/r1EXtKIxLVjYu2yHlbkMROPpq2LLkS0ns9Ha3MvPZdc45VYh9dz59W4c3qtvQaA05Pe+gSRK+YNa39VHjPxaNqTZIWI1vM5amnupeeSa6xSa/A6X16NUYV+jnoOAEBT2vh4dvxBYTY7aNqz5IWI1vN5a2nuJeeSa6waa3Aaz2r4tPE1H2w10DzpaespAOBE6n6sOX64OjY7k2yFiNbz+Wxp7iXnkWus0ufS+fkTGupd7cbxl9SrrUDTpKespwCAqhw/kBybnc603uyFiNbzeW5l3iXnkWusGuex5HlriV53u3H8JfVqK9As6enqKQB0yPFN7NjsVMw1G+suVoiYrDl0o5U5lzx/OcbR8y+1Bq3GmIhjvlbajOMvqVdbgSZJT1VvAVyC44vesdlpmOvdWXOVQkQ7mFuTWppzqXnkXHON81ljTFyXfr21G8dfUq+2Ak2SniqCqBVJOSZ2bHYaAeutWohoPT5Hrcy55DxyjqPXUWotSunxgF6Z78824/hL6tVOAGif43vWsdkpmGsNXG8ThYgWsY5qWplzqXmUGKfUWrTS4wEoT7/P24zjL6lXWwGckeNr3LHZKSRea1OFiNbjc9nKnEvNocQ4+py2cF4BoCbz87DNOP6SehFEuXDl0MdsstPsFDKvtclCRMu47mxamG+pOZRcZ5E16UF6CADojPRRRhClYp9DS4cmp2Cus8Bamy5ETIXORzItzLfE+KXXqccrOWaTzBPRewAAUJTjDyKHJqdQcZ3dFCJab6+H2nMtdb5qrLPU2pCZfiJ7DwBAwxw/sB2bdc1cY+V1dleIaA2cO2ctzLXEHGqtU48bO7b5u8wtfS1XKAWaID01PQYAXM0VPgMbXWO3hYjW0+umhbmWGL/mGvU5rn2eUzLXJEc/X9Ls50ATpKemxwCAPWf/vDDX1/Aauy9EtMbP80LtuZYYv/YalRbmgCX9nMjR15e0gjlQnfS09BgA0jnze8tcW0frO00hovX0HNSeZ4nxW3ge9DpbmAvOw3xdraOfL2n2y0BV0lPSawA1nfE1eIL31+kKEVMvz03teeYeu6XnoaW5AC3Q74nt6OdLmv0cqE56WgiiVJzBCdd06kJE6+X5qjnPEmPrMWqt0dTSXACkYb6v19HXl7SCOQBcwgXe+pcoRLRenseacyw1tn4uWng+WpkHAGjmZ+Q6+vqSVjDHWUhrI9qKTnQ45RiXKkS0Hp7fmnMsPbYer9Z6H8yJxAYA4E76iJzjLF/S2ohW4rt+8ruG742yJ3sx90LkquvvYc0151hjbD1mjTU/9epvn7YSMBdyhgAAAGnw8/VhdUfkiuemhzXXnF/NcWuuGwbzyThDAABQCj+DNu3+atYVz1fra641v9rnRY+few7mODkCjZCenJ4DANAOPqO3WefF6W9ErD6X0Pp6a82vhfOi55BnHmb29FHmSxo5X6AB0hPTcwBAb/gMk5nnRTg33n+svpPrlFpfa635tXJO9PpbmU8bzLOSP8p8SSPnCTRAemJ6DgDnw/tc5nlevAsRk+MYp9D6WmvMr7VzoufT0pyQivns5o0yX9LI+QKVSU9K7wFcDe+BNfucBJyXqEJEixi/O62vtca8WjwXrT9PuDrzFZo/ynxJI+cLVCY9KQTRaoRKkeNMzPOR6JwkKURMCefWvFbXWmNerZ4LRc+t5TkC/bPfaXmjzJc0cp4A0ADemEsFzkfyQkTLPO+mtLrOGvNq9VyY9BxbnyeA2sxPi7xR7ksaPU+EknIRREzscm54Aea5yHQ+7PTZChGTPehZtbrGGvPq5bnW56aX+QJAHPNTL2+Efkm5CCIuDDuHLsU+D5nOxdEQRQoR09ZEzqTVNZaelx6vxXMhuc/TnHRvAQAA1vhZuTwHmc6DPYTLMMULEc1nkr1qdX015qXHrDH2Zdgn+SwBAAD8ZP5ZaqcPHaJaIWKKXUTrWl1fzTmZ56TWHNAJ+8VypgAAIFaBny+50jdRiJhSL7A1La6vhfno81L7/NjzKBm4IOmFcIYAAOST+TPXTp9hiIfmChGtxOJram1trc6n/LzskctF/i9p1DKBi5FeBGcIAKgh82dR5vS7pkKk9LB+ap2cElpbV6vnWc+r1fn1wT6L5SL/lzRqmcCFSC+AMwRQgvTaKxU9yTz/zOm9GXdEWpnSvvZnGKa1dbV+nvX8Wp8nSrFfEeUi/5c0apnARUhPPkGkDsgyn6fM6aNt/GpWy1MetT/DMK2tqZdzrOfZy3wBd/aru1zk/5JGLRMAUEXGDyM7deL0WTj8jUj7y2l/hv5aW1Nv59c8fz3NG7gW+51aLvJ/SaOWCQCNyPgGzZi6KM8/Vm9/uT0/GVtaWlOv51fPu9f5A+iN/alTLvJ/lRuJL75SfBUzvznGSChj6qo8CxFT26ej7dmFaWk9vZ9XfS5X59Q+kDoAoHt8oAF35s/3hG8JO23C1M2JKERMbZ+qsz2JraznTOe12Fr0QGcOAADOKNPPu0xpu5CoEDG1eyrbnVmYVtZypnOKBPQL4qwBADi/TJ//mdK2b2PhGQoRkzVaQ9qdmb9W1nGG86nXkCpwQtITfbYAgKvJ9DmYKW3b7EXvLDxzIWJymE0lbc7KXytn2JxHC/Px8aZv/47he7oVSJnOFjgh6Yk+UwC4jO/5N989bVkyfC7YKROlbVvkogsWIqbA2WbW5qzCtLYO89y2Njc30grOGP6kLGcLnIz0JJ8pAEV6bVwxlK39kTKkbJe9WB2R7oVIgjwREq4moTZn5a/lNZjn2AzUJD0jZwt/UpazBU5EeoKJ6wVGic6FfXoTpW1TwcU+7ogUGMtBG7OwtTcjfz2tQc/VDCAd6RV2xvAjZThjAMCRS312VF6s+KtZleZiaWMWpvZm5K/X+Zvn3gwAW6R3zNnCn5TlbIH2Sc8bkSdchPTpjr1IHZUd/o1IG/OtPwNbezPy0/PcTebzcJY1AXAlfQKcLfxJWYi24lqkM1Aylo5bnEBHi/T+Y/X6a6o/A1tbs/HT3tmMZ67JDADoj/RpRhA9RV1tzSYDe4GdLfKJl7zytU9/zJd/+PQw3BPTP+upPwNTW7Px0/PcfUlrfcHnfe60dQEdPtlf9w3fOm2154//sT8ybQEAWvA9/+Z7pq0T6KzIOPLM3/Xj6QoRW93rm3aurnq+qO957jFeeKVCpEFf943tFhoog4IOQCpdFiInKzi2ZC1ETBQlo14v7K9WkLjcEblqkZYChQZQBgUd0EEhcpGiQ1KsEDFRlIx6vJC9ysX3pX41y4Hv806hAbSFggRX1lQhcuGiQ1KlELHVu7ht47K614v7MxclL/i8z5m2fJ35rMy+nkID6AqFSGVcfFb1PT9VoRDhOXfSRCFioijpzxkvvcMLkXP4+m/8tmkLwBn88T9KIYLryl6IUHQEU4WI97++Nyf1XOooq97IpjZm4ae3+WKbKkAoQgAA2GBeqHEBlERThYip3nNcb2RT/Rn4Mc+aHQCAc5A+4wmi5QgiJVKB5JotREz1Xgd1RjXVn0E8cw1bAQDIQ/rMDQ3gdHihV9VFIWKr81qpM6qp/gzyMdcmBQAglPSpShBXCcPBYZTXZSFiqvNaqjOqqe7o5ZlnfCuSkZK3EAAAwA8/R9s0PR/dFyIm87VW7vVWfkRT3dHbYp6LreiatKCUAQAAkIp0raFjcqpCxCasN7PyI5rqjt4H8xxJAQAAAEfSxZQOB6cuREye5yWB8iOa6o3cN/NZu1IAAACIpAsHHZEuU4iYEp9DB2VHM9UbGT3h9QGc0xf90S+ctrBg/nAkzh1wI507HRldshCxFTrXk7KjmeqM2iPzOcoZAJCZ9NFDANckvRd0VEIhYin7nJQdTaszaj/e9B1/fdrKzXwmWggAAPrFT7aBdBJ0NIhCZEfZ56/cSKY6owIASjA/4wni7GH7vp/63mnrZKTF6+gMhYiHcs9zuZFM5UcEAACAyLwcNONEKEQClXs9lBtJKz8iAAA5mD/RiOtFB6Rp67gACpEEyr1uyoxiKj9iI8yFhwQANEH6gLpSAA2QXpo6Lo5CJIMyr68yo5jKjtY58+npJQAAQBjp56oObLoXIpyjfMq8DsuMopmjbQUAAMCpSBc8OhDkcUeE85lfmXOcfwQX5ixyRG7SmGcJAACwQfrBqQPJbf5qFuc/v/znNv8ItZgryxFnJq1XxR/9P/3h4TsANED6kCII39gitdWBorz+RoTnKp/85zX/CACAxpgf/T0FkIL02lKBStZPRNQfq9vpxpSIlf985h+hf+Y5ajEAAGchfcoT8YGSpGfAjrWoQkRyPCR85D+febMjF/N5SxkAzkR6lxPtBdA26VVrR5jkhYgt3VSh5D2PebMDAACgJea131bkk70QkZRb3rnlPYd5swMAgJTMn9vEGFcnnRM76qpSiNjaOy39yXv+8mUGAORkfn4T5w5ci/QasKMhG9NrohCRCHOFh3znzsx84hB2XSIAAEBl0g9oOxohTU2KDc0WIjaPNcHCOQMAAGiBeVW2FQ2QpiVFpG4KEUnic3EJnDM39nnqNQAAQCnST2I7GiBNy45Cui5EbJXOYdc4X+dmPr8uAQBOpA8QgmgtkpIGsKMyaUpSNORUhYit8XPfHM4TAJyM+cGeMoBTkV7kdlQkTUeKDp26EJGc4DkropXzZM+jVAAA8pI+ewkiZcyko2ZUIk1FihO7XCFiu9jzHUw6TyWiHmk2ZwwAZya961sJIL9Krzbzhb4XoBCR8DrBdfBqBwDAif0jcyvgjELEAa+x63nTd37XtAUAAOJIV1IlwpHUVQokRyESiNcmAKB99k8rgqgRlUhTkQJFSKedQiQR++TqE4yOSU9qywEAAFCIdCmyFxIKkYxcngAgGfsFFxIAAJzA3/ip75+24EK6JDiKFChECsr1JCIP6fnqIQAAaIb0g6pEXJh0Oo6iFgqRylp5IeA87NeUTwA4GemNThAlA1GkU3oUPaEQaUzvLygAANAn6Rqk12iVNNe9ODsKkQ5c7UUJAEjD/vlBEHsBP9I5PAosUYh0iBd1GvZ5tEPeqwMAAJyF9JP+KBCPQuQEeHMsSedDijhSxjMEAAD9k37C7QXquBciPAHnc8Y3mL2mrQAAAFfF1UBPHndEzAs5O9C/lp9XaW5SAADOQvqUJ4gUgeKkp8ElBk6/miX11YF+5Xwu7dx70SxpsjkCALKRPnRaCABNkN6evhEh+m9EpPnoQF9cnkOpjRTwIJ3AWgEAANon/QwPicqy/rG6tF4d6MOVnzd77T0EAOCipB8KV46WSfP1jZPIWojskc6pCgDhpPeUTwA4GemNTpwzUIZ07n0DD2MhIp0kMwqShtcBAACQg3TdQfQbK1KjkEBSbndEpCdCR0HS8DoAAMCS9POSkAMnwxPchfhfzbKfaDsKkYbWAQAAAKAt+f9GRKoMdBQiDa0D0NavDXtPqQAAADi/an+sfiddg5lRgDSsCpyX9HyraIc0u1IBAABQRt1C5Ih0naQjM2lIHeiD9Nyp2OXcEADQL/PDnjhnoAdtFyJ7pNecGRlJw+lAHUHPxVEn6bgdANA06YOLANCGfguRI9Lnjo6MpOF0IJ50XlXskjqoOPCm7/ruaWuHlLfnAAAAKOS8hcge6QLMjEykoXRgSTpHKg4FddompWs9AACFSB/CRBuBLlyzEDkivaDNyEAaRsXZSWtWcUjqpALiaXENACcjvdGJdHFB0mloMdAHCpEQ0iteR2LSEDp6Is1fhZPgjgCAFKSPYeKaAaREIZKa9K41IyEpvY5apLmocCJ1VAEACCJ9pIYEAORAIVKa9AmvIyEpvY4UpLwqnEV1BgAAkP3AT//NaQutoxBpiXRxbkYiUmodNqmNCmdSZxUAAAC4NAqRnkgX9DoSiUprd/ZO0Ibl9M1HZw8AAIBEpEsNMwYUImchPcFmpCTlV9GpkywjgWuvHgDSsH+qEOWjAGlYYhkOKESuQnqBmLHFp20nTrYcANhhf+IR+QPVSU9L6kASFCIYSW8yFScQtSS789kDAICWSD+rjgLdoBDBqaT+PJLy9RQAcGrSBx9xrsCpUYiga3xe7bPPz1EAOBnpjX6mqEiaDtFGoB8UIugKHzZ5feEX/JfTFoAzsD8ziXQBIN69EOFNhVaZH/q8RgEAAM5jcUfEvuhzDSAVXlsAAADXkORXs+yLR9fAtfGaAAAAuK6qfyMiXYi6BvrDcwgAAACt2z9Wty9qXQPl9Hzu5zmbK2ghAAC4OunnoxnoRbeFSCjp5eoa2Nf7+epj7uYscwUAnJX0mUf0FziLyxUiMaS3gkuc1RnWeTh/s8FVAsCJSG/yKwdE0qnqOdANCpECpPeIS7Sk9fn58FmD2fZMAQDJSB8yRF+xQWraQ6AfFCINk95crhErdb6azrSWVOxzYgaAc/jCz/9c+U2eOnZIzYl+AsiNQuSkpA8Un+jdmdYCACHMz8FaAQB7KERwGjl++L35u7932gIAAEBKFCLoWo7iAwAAdMy8OEgVyIJCBF3hcwEAABRnX4CUipOjEEHzLvR+BAAAmJkXQaWjAAoRNKnw+wAAAHSNK4fkzFOaIwYUImiG9dqsbp6LObMrBABgJn1OEu3F6Id++oemLfSAQgTVyB8hdYnzMXeeIQBchPQBQPhHYtIQRLpAVyhEUFSrnxV7czLnfIoYvu0FgJNQ72ciS0ifnc4hpyQSBfpCIYLsWv2AaHVeAJCC+RlHpA0AaVCIIIuWP7D5QQIAAFAfhQiSMAuPFi/yW54bAADAFVGIIFjrF/etzw8AAKRl/uw/CtRHIQIvPbyB+YABAABHzGuakEA8ChEc6uFN18McAQDAeZjXHiEBChEIenmj9DBHAABQSl9XBOZ1TEicAYUI7np6YZefp3l2UgcAoH/S5zuxCvE/rJIyhmEuRC03NmqjELmo1l6IR2rN9T6eOXjyGL6lDHkQzwBwDtL7+8IhfWYmC3nIVkKcco2Qp5c0xJ124EE6PT4R61GISMmJ80YPas3XHtd83HwM32IDwEmo93MDIX3OVAl5epcIWKST5BJYkU6Tayj3QkQ/AFpgvkBLqjUuAOSgP9NqB3Aa0gv8KLCLX81CE2q+Z/msAAAAWZgXOK5xIRQiqKrme+6C73cAANA6fYHiE52iEEFxtd83nb9nAQAAlsyLK9doAIUIiqj9uq89PgAAQFPMiyPXSIxCBFllet06SzH+m7/3+6ctAACAC9MXVj6xg0IEyTm+9rKqPT4AACiJn/zN0k+NHQMKESRhva6qaWEOAAAsfzIWDvE/pNJWPJ08xtTDdyPQOgoRRGnhrV7kI0d/wrUQixXnCADnJL3fC4X0WdZYyBe3MSEOUybkZ6GpKEMaWQrUQiECb628dUvMwVxrMzF8yxkAzoELY7/AlUmvCDuQA4UInLT0Viwxj1bWCgAAWqCvDI4CPihEsKult1WJubS0XgAA0Bt9JXEUUChEsNLa26TEXFpaLwAA8Pe3/u1rpq0e6CuPvTg/ChHctfayLzmfVtYMAAAimBcPdnRJWogU/aIQubjWXsIl59Pa2gEAQCb6h/5edEtajBTtoRC5oBZfkiXn09raAQBAA/QFwlZ0T1qUHWVRiJxc/ZfYvpJzanH9AAAghP6pbkZm0pBmnIK0MCnSoBDpjPRS2IsWlZ5fy+cCAHB25k8996j29XQvMZwlK6pTcziK05AWJ8U+CpHKpKdsL3pWeg1px9PZUgQAtEb6rHKLal/DlWcfMZylgBiWWCeQl3TOzTgdaZE6KESykE71VlxB6bXmGE/6IREe0g+qdgLAOUjv7+2wP6fc4/GhWzqAM5Je62acDIWIA+l1sBcYlT4fucbjOQUAAE3QFzt70ZFLFiLSc7YX8FP6vOUar/Q6AAAAoukLmK1oyGkKEek8bwXSq3F+c41Xeh0AAADF6AudrSio2UJEOi97gTpqnP+cY/Jaut0+73P/4LQFAAAuR19o7UUixQoRaQ17gbbVeJ5yjlljPQAAAF3SF05b4SiqEJHG3QqcQ43nM+eYNdYDAABwavoCSwrDohCR2u4FrqHmc55zTF7DAAAsmT/z24mdr6fnQCf0Ezu4FyLGY+Ch5usi59g11wUAyEN/trcVO1/GBXRLMXxrMMSTOwa61uwfq6Oemu/tnGPH5H7z9//NR/8UAQC5SZ89frHzNVwcthbDtwZDPLFjID3pPKtAsyhE8FDz/Zpz7GS5xR8yYSH9EG0pAJyAei9HhcqxEUBPpNewClRHIYKq78fcY/M5AwAARPoixA4UQyFyUbXfb7nHTpk/91wBAEBD9A9+O5AchcjF1H4v5R4/df6a5woAADREX2TYgWAUIhdR+71SYvyU+WufLwAA0Al90WAHDlGInFzt90KJ8VOPUfN8AQCAk9AXKHbggULkBKTXuI5aSoyfeowScwYAABenLzikuBgKkY5Ir1cVLSk1p9RjtHYeAQDIQf+cdo7hW5mQ/3XyrvF3/u3fHmZ7AsO5EOOkKEQaJL3+VLSs1BxTj1Nq3gCA9PRnuHMM38qEfLHcQgzf/EI+kxkCu6RTpqJzFCIVSa8nFb0pMefU56bXcw0ArqRrSv+QL2ZbieGbXzw+/XMHUIj08lPRCQqRAqTXh4relVpH6jFC80k/BMuGmkOZAHAG6s0cGwC6JL2dVTSGQiQh6flWcTal1pV6nFLzzkevoEQAAIDTkX7kq6iEQiSA9PypOLtS68wxzhWeHwAArkpfO5gBD9IJVJEZhcgO6flQcTWl1p1jnBQ5c8wLAAAkJPyg1j+/zYAn6STqSIBCZCCdWxVXV/I85BgnRU5eBwAAdEJfuJhhcWgCVwlO5GUKEftcmYGlkuclx1ipcpY6BwAAIBN9UWCGxaEJXAScxNMVIvY50IFjJc9VrrFS5Cx5HgAAOAP9szN7DN+k8KLa22FxaIIjDiew20LEXpsO+Ct97nKMlWoNJc8DAKB9+udL9hi+9RzyoswYvqUIOfkQkRzSOTTBHuEENl+I2HPWgXilz2Wu8VLlLHkuAKAF+nM5ewzfeg15QWYM31KEnPxE0RmHJTg0wYFmChHpyVSB9Eqf21zjpcqba34AUJN0rWvH4wNwM4ZvKUJOfpLAZTg8/Q5NYCheiEhPkArkV+Nc5xovVV6fPNLP1rMGgDNQb+bYALDL4W3j0OSyshUi0klXgfJqnPtcY6bM659Hj36FANCzz3n5Z05bAIpz+LHq0OQSogsR6USqQBtKPxc5n/9UeUPn+Ms/8EPTFgAAgAd98WGGxaHJ6TgXItLJUYE21Xh+co2Xci0xeUqfTwAAcGL6AkeHwG6y0axbq0JEWrAK9KHG85VzzFR5Y+eYa30AAAB3+mLFDIFjsy7cC5EzLOSKzOetxvOXc8yUuWPz5FojAABY09cAPnFajot1bNacbH+sjvRaeoHlHD9l7phcLZxnAMA56Z8xTcbwrWbIkzqIK3Fcv2OzqihEGtbiiyfnXFLmjs2Va40AcDX687i5GL7VDHlSjYQXKUGNuDjHU+LYrBgKkYa09MKw5Z5TytyxuVo79wDgS39m32P4VjOWk2kovElJiGY0NJVm2E/VxjlybJYFhUhFtZ50H7nnljp/bK6j/nq+rQQAiKI+KMzOxBxoHk/ZMcdz5NgsGoVIQaWe1FRyzzFl/thz6txfN2wkpP/3MUUA6J16I4cGcBK8tI/Z52jjPB0cDkYhkpH5pKV+4nLKPd/U+WNz+fXXsz97AABwMvyoc3Nwng4Oe6EQScR+UmKfmBpKzDt1/th8PT5PAABg9sM/88PTlid94aMDsoNzdHB4F4VIIPOkh5z41uReQ+rzlCKfd/+UCwAAAG3RFxc6sHZwjg4Or1CIOPI9sb0osZ7U+WPzBa156JB6HQAAoGH6gkEH1g7Oz8FhCpEt5onbOnk9K7Gu1GOkyBfUf+iUch0AAKSifzZ2H8O30ChGjWUGlg7OjXlYN6EQmUgn56xKrC/1GCnyeedQHYaY+6WYBQAg1vTx3H8M32JDTtxh9OgMa8jF8dxcthBxPD+nUmKtOcZIkc87x9Rh7pd6VQCQj/rEajaGb7EhJ+4wmiZNuNVoRKPTasLGeblMIWKu3zoHp1dqzanHSDHvoBxTh7lf7CwAoDD94ddiNE2a8FUD0TilMuN8nLIQMZ9zY62XVGLtOc5xinxBOaZOc99lFvXoCgHgSqRPgasGkBEvt5VTFCI8r2ulzkWOMVLkDMoxdFL95r5CFt3g7AGgc9IbeysAVMFbsc9ChOdtW6lzkmOcVDmDcgydlv22sqj9RwEAAODpgpcTXRQiF3xevJU8NznGSZEz+BwMnZb9YmejZ9JzAACAqi7wo7nJQuQC5z2pUuco1/ORImdQjmlBc99pBwAA6If+8X32H+HmOk+y1iYKkROe1+xKn68c46Saf1COqdPcN8VMAADoi/rp13ssbB44IXOtna63SiFygvNWRY1zlmu8VDmD8kyd5r5uWVLNuQcv/6zPmLYA4LzU5/qlYvh2yv8myxbXdmfR4XqLFCIdnpdm1DxvucZMkTf4nEyd5r5uWXSrN//ga6YtAOib+ly7XAzfTncR7hNXd7VzYa630TUnL0TsNTe67qbVPne5xk6VNzjH0HE5B7dMweMBQCX6s24Rw7dLX4SruDTphJwlAkR271KDa44uRMw1NbSu7rRyDnONnypvcJ6h47KvW6ZU8waAotSHlx0YSCfmKoFNVzxVjazXuxAx51157t1r6TzmmkfKvEF5pgks+7pl2mo1pTx9ADgj6d1+pQAcXO0lU3G9h4WIObcK8zudFs9lrrmkzBuUa+q07OuWabeVOniFANAx6U2tAoCXq72FCq91VYiY4xeaw+m1ej5zzilV3uA5Tp2Wfd0yBY0HAAAqKfiTWw2l4+wKrPVeiBQY51LM89nqOc01r5RrDs4zdZz7u8/KvdUVAgCAXlT4+VVhyGoyrTX6j9UxyvT8JJdzjinzBueaOs793TOlnD8AAGekfla2Fmv7R7Mwhyw4bBUJ10khEiHh81BEznmmzB2ca+io+s793TMFjwkAuCT98+ZqcUjqlDt2OTdMq9KwxUWuk0LEU+T5riLnfFPmjso1dFz2dc8UPCYA4P4ZesU4JHW6QjSt0mQrDVtcwBopRBwEnNdm5JxzytzBuaYnZtnfPZvvuL7tAaAG9VlVKg5Jna4QyCTlyU6RI0ClYYtyXCOFyAbH89es3HNPmTs419Rx2d89m++4wfMEgNLUB1YrgUykk32FWPof/t3fm7ZibY+RVaVhi9pZI4WIYec8dSXn/FOfn+BcU8dlf/dsvuOa7dV2jQAAbJE+Nc8eeEh+WpIndGMOW3joYqz1Xb4Qsc5H13KvI2XuqLlOHZf93bP5jhs8z8TUPEoGgJ5J7+ozB65q9SpY7YiVPKG7ikOXcrlCxHxOz/S85lxL6nMVlWvqPOfwm53v2GJ7PeTZAwCAjqx+hK12xEqe0J05dIXhc7lEIXLC5+0h97pS547KN3Rertcvm+/Yvu0BAEAbltcLA70j2Q/35An9VB4+ldMWIid5fnblXlvq/FH5hs7L/n7ZfMfeb6+OXiEAAAgj/VTJEUfEtuLOGGbCZEndVRw61qkKkY6fBy+515g6f1S+qfOyv18237F92wMAcET9bLlSJCUNoMOD2E3cGStLUjeVhg3VfSFS8akursQ6U+ePyjd1XuZwz6ha+o7v2x4AEEZ/Rl8lkpIGOHNkIKYXd8bKkvRYpWF9dVmIdHJukym11tRjROWbOi9zuGcMGTtqvgDQEPV51nokJw1y1kBS4qkVd8bKkvRYhSFddVOIVHrqqim53hzjROWbOi9zuGcMGTtqvgDQIvXBdqVAJ6QnLybSEjOLO2NlSbqvwpBHmi5EGjxf2ZVeb+qxouc/dV7mcM8YMnbUfAGgRXywdUg9aVeIfoizFnfGypJ0X4UhJU0VIuY5qXxeiqq15tTjReebEsx51JZ71pDxffvoGV0hAKA+6dPprIGWic+UuDNWlqT7Cg9nql6IVDjdzai17hzjRucbEizn5ZcxZHzfPrr9L7/mb48PSgYAeJE+SHoMoD3iK1TcGctMmjSxrOBQWpVCpMI6m1F77TnGjco5nYxlDr+MIeP79gkZIyk1gdIBAAB2iT82xZ0pZEkqKzRUsUJEr6fQ6WtOC2tPPX70mqbOyxx+GUPG9+0TMgYAANimframiJaI8xJ3xkqecFuW+c+yFiKZ5968VtafYw7R+aYEyzx+WUPm4Ntnu706cpYAALRC+pQ+YySTPGEa4lqTz1UcJZ8MwyUvRDLMsTstrT/HPKJzTgmWefyyhszBt0/IGH1SK5UCANoifVKdLaqQJtJLaPbjhqymu9qRQvKE+xINl6QQ0XMpuPzmtHYOcs0lOueUYJnHL2vIHHz7hIwBAK1Qn2FnjCqkiZwtzqTxda2mt9oRK3nCfZHDBRcikeOeRovnINd8ovNOCZZ5/LKGzMG3T8gYAHBJ6gPz7IF+Nf4crqandySbc9JkxwLm71yImLk98p9Sy+chx5yi1zolWOZZPnLh13rk2ydkDABojv6IzR24KOnFUCsceDYvTZyeuDNU0mRuHIfbLUQqTLtpLZ+LXHOLzjklWObxzxoyD98+IWMAALCkfpqcPTrW+DLE6SWdb9Jkx/RwG0OuCpGD9pfTw/nINbfovFOCZR7/rCHziJ77DpX7CgEAeUifOGcKdKPxp2w1Pb0jyZyTJnMjDPfES1752qf/D1/24dNDaAWflii55hmdd0qwzOOfNWQeOfvods/7xE+Yts7re7//B6YtAL35zM/4lGmrDZ/7OZ81bQ3ED9xx51/7699z/yfg6u//7N+fthJ5Yvpno1bTSzrfsot/9sf9UwoRU8gFbC255pok75Rkmcs/c8hccvYx21GIAGhZc4XIZxuFyN3yk/fxSPxAnnfut1PGA+bh7/rvvm/aQg82n9oNP5K6EDE1XJTkLUiU/IunEJn4vuhryzXfJHmnJMtc/plD5pKzj92OQgRAy1oqRD73s//AtCV85m5+CM8HHlsHbReHd9q6tVu1fLT97u/9G+NGJTtTvpysRYipp4JESTrffIu/dCHS6xs517yT5J2SLHP5Zw6ZS84+UjsKEQAta6kQ+ZyXz4WIbPkpu3i0+UE9HnBt69ZOiS9UbONu46DQ7nvO8nm7cQ5y+ZH/b6FCxNRTUdJ4QXLJQqTweySZnPOOzj0lWOfxyxw6j5B+rn222j3vE3/ftHVe3/v9PzhtAejNUSES+nnr63MXRchy1MUjpwmNjdz6tV98aDnaqt3f/zd+aHxwYlUKEe2yBYmSJuFlCpGd93QXcs0/Sd4pyTqXX/bQuYT08+mz1ZZCBEDLXtbIHZHPeflnTlsTpw/gudGq+W7/xooPxbXtRjvFte28e9raaKe4tl3ufvr2N3/gb0/bbahaiJgaLUrEaSWda1yy0xciO+/BLuScf5LcUxL7g8pX6FxC+vn02WtLIQKgZS/79PqFyKoIWZg/YVeftc4f1GPDRfPdvumLDyW4UNnNqU1bCdoudw+PnNop8W3F7vedT99+8DX//f1hiGYKEVMvRUnyefonPGUhIr7YO5N7DUnyT0mWufwzh84lpJ9Pn6O2FCIAWtZOITJ/mq4+V50/lMeGYf1XZcJmv3zFh2I0cG270U5xbbvcnaat2P1pOalrW7n34H5geVTOOf1z2vg/f8Mr7v+sioLk0KkKEfGF2ZkSa0gyxpRkmcs/c+hcQvr59HFp+9wLFCLfRyECdKuFQuSzX/6yccPpA3hsJDZ1/gAXig5t44Bf8TF/vyvcdt7t01YZHjm1U+LbbnQfDogZ1u47fdoq81GxnRLR9o9905+4/zNYg0WJOKXCRUn3hcjmC6gzJdaRbIwp0TKff/bQ+YT08+nj2pZCBEDLyhYi60/Oz/6DW7+WNbZd9fD5oB4abzZ3zON3R8M4uJM/b1tl2tpou9ydpq3Y3evux+PbgmtbsZ3i3VYZNzbbKa5tFwf82uqHr/jW/8u0Vd+qXChUkHRbiGw+2Z0ptY5k40yJlvn8s4fOJ3c/n3bP+4QLFCJ/g0IE6NXLPv33T1t1fPYfHO+GrD5XvT7IMxQc2k7/8ZDVYDeNcXCjnTIfmrYKt13vHvZkaTvI8etXimvbx875qNhOWRwYH+Rou9lOMxoctt5o+yf+8pdMW2HyFyTKnFQVIs+YtpunTrOO3pVcR5Jxpgmv5+2f3b/HKHe/1O0A4KpePhQh6jr0fi1qx8p4QPyy+5phMXotvtT/xLCMu6c+95j+YTzU5t3GQWPTtmw7hN60zC3mrcemxWgxb807Fpa7VTsd066JeqjjwautiuGbCsOqnbJoOx9dPpronUbbx677I8Nj53x03rIsDowPXNuOX35tNxntD1sftP1Lf/irHxHCSD/SO5bDRFombL4QSb7+ikqvJclYU5J1Lv/sofMp3W9L6nwAkEPtuyHyh6W+bLK/hiP3b0JYzF72l/qfGJZx9/prvCh+NBjDMO82GhibtnH3lFuFbqfCMu+etvSOcefDcve0Zc7boHfNu4ct3daybKfotuvG67aDR9v5iH4075ncdy6P6Efznsl95/LovGV5HJhbzFuWxwG9MT+rK4sD8zMq8mmrGO0PWwe0/ZovCCtGFGO4mbgzxpisyUJErzXpeisqvZZk401J1rn8s4fOp0Q/l7Z2m1/+O+H/ukEA6IX67POJl3/WZwz/lL6shmZYzF7m13RQDsu4e/01XjQ/GsxhmQ9N/XQYm7b50LQ171iZD01b5rwsy92qnYpx07bcrdrpmHZN1EMdM9VOxfRwottZu6e2y71iO+V+YHk0XdvFhrFleRwYN/TD+y7b4sD4GhDbKT5tFaP9YeuAtnOXp4di5KvuW6F0rjHfZLUjTlOFSOK1VVdjPcnGmxIt84WtKNmcHPmMFzc3fT7OGgB6JL2bQ8PXvY+dRIdFX1jZX+p/m2EZd6+/HhfUdljmQ8uv+14ph2U+ZDTSmxajxbw171jQu8dD05aej2U6ahxS7VRMDw3Ldopuq2LaNVEPrV3TTtV2eeS47Xx0+WiidxptH7vujwyPA3OLeUvwODBubLZTFgfH10KStorR/rB1cFv9fW4fW4xoy6wDvWOx01/1QiTROppSaz3JxpwSLfOFZY+ZU0hfnz6ubWPWAADdUB92KcKiL6TsL/U/MSzjbvlrvNB9NJrDMh9aft33eudQYfRXYWza5t3TljmeZblbtVMxbtqWu1U7HdOuiXqoY6baqZgeTnQ7a/fUdnlEP5r3TO47l0f0o3nP5LFzPjpvWR4H5hbzlkUfuB8cNx4PJau2Y3vRo61y0FYx2h+2Dm47tn/ssHzN56cpRhRxlO2hD1UrRCLm3CS9nlprSjbulGiZLyx7zJxC+vr0cW0bswYAqEJ9cIVEpD/4WZ8+pFl/qf+JYRl3r7/uR3QfOyzzoeXXfa++8LbDsjws5VBhNbTMh6Yts49F7x4PTVu6vWU6ahxS7VRMDw3Ldopuq2LaNVEPrV3TTtV2eURsq+j2xlG3tmOLecvyODC3mLcsiwPjg8O294PjxuOhZHFwfE1stlWM9oetF23H9pvEthvtjUMpixFFp16MvNpxrGghIk66cy2sJ9n4U6JlvrDsMXMK6evTx7VtzBoA4HLUh6YUlnH3+ut+RPexwzIfWn7d9+oLbTsE82Eph4pFo5XlYSnHdNCid4+Hpq2N9nrXvHvYMudnUA91zFQ7FdNDw7rtQOdeZxHaqhi+We2XjyZ6p0tb5XFgbjFvWR4H9MbjWVhbHDhoq1jt9TO8yWh/2HrRdmz/2GELbKvM7fOwhpt3OAxZpBBxnEtXWlhTsjkYiZb5wrLHzCmkb8x4W1xyqjZnjs+o/W/eAdCNP/gHPn3amo2fJeuv+xH9QWOHZT60/LrvvV8ALxqNIZgPL78eF9FzgzEs9uFHfxUBOUbTo+XOh/Vu1VbF9NCw3VbFtGuiHupY0O0N221VLI/oR/OeyWPnfFRvjY8s9wNzi3lL8Dgwt5i3LIsD44PNtorVXj/jm4z2h60Xbcf2jx02n7aKcchu/xc//yvv/8xlHskg7pxlK0T0uDtjd6mVNSWbw5Rova6wEWLmFdLXt0/M/ADgGtQnpV9IX/djy2ZzWOZDy6/7Xn0xbYdgPrz8elxkzw3GsNiHH/1VPHKoMBpZzENzTFtSDoPeNe8etsz2BvVQx0y1UzE9NKzbDu47VfvlkeO289HlI8P9gD46tpi3LI9mc4t5S/A4OG7oh/ddtsWB8cFh28fB8fkX22pG+8PWi7Zj+8cO26qt3tqwam/sMOQuRhQ98mJ0eTrpC5GNcbrX0rqSzWNKtM4XNkLMvEL6+vZxbe/S7t5GfTt7AOiQ9Gb2CT+fpe6GSGlUWOZDy6/73vtF7qLRGIL58PLrcaE8NxhDsGwy9VfxyKHCaGQxD81hPJLyWPTu9eHhke5n2W6rYto1UQ91LOj2xhH9aN4zue9cHxHbKkL7/baLDWPLog/cD44bj4eSxcHFM7y2OjC332T0OWy9aDu2f+ywrdout1aMQ/Pmftu/+IfyFyPaPKeJ3jHtTFKIWDlPpbV1JZvLlGidL2yEmHklW9MO1zFc2pWYLwB0Q/hQVLvGWH7d9+oLZjsE8+Hl1+NCem4whmDZxMihQsojMA+PYTx65FBhNLKYh+Ym09Yih4r7wQW1a7nbp+3gvlO1Xx4R2yq6vXFUP5r3TB4HlkeXjwyPA3OLecuyODA+2GyrWO31sy1aJTporxh9Dlsv2o7tHzski7bLrRXj0Lxp7LQZu9XmXyhYjChbM4sqRLaSnkFra0s6nynRMl/4CDHzCu3r08+1rUu7mLUCwNmoz8Qxll/3vfoi2Q7BfHj59bhwnhuMIVg2MXKocMxjHx5j2nrkUGE0sJiHzHhsSXksercZD2Zfg25n7Z7aro/IbVUM36z2y0eG+wF9dGyxfGR5HJhbzFuWxYHxwWZbxWqvn33RKpFj+6nBQWur7dj+sUNitV/ssFmHfNrPm+PWX/hDX3F/VJKewziPgELETnA2La4t6XymZMuc4SPEzC20r08/17Yx6wCAlqjPs1LxWZ/5acPGsGUfUCGYDy+/7nulPAK7yTqHCquRxT48hvHokUfFtNuid9vx2FrkUPFo8KB32TEatlY5hrCoPau9953r9rrtcu/gvnN9RGyrCO3326p4bMy7hlh5HJhbPXZJFgfH14JbW8Wv/UHrRftx09gh8WlvHfJpP28aOxvhXIi0N/W0Wl1fsjkZC1zmDBvBSBcktK9Pv5j5Sdb51J6zBwDs2PiYmD9Fll/3vfcL5EWjMSzrJnYOHUYjgXl4DOORYx7z0Nxk2lrkUPFosKB3mzEbHkl5LGqXHQv3nesjYltFaK8fzXsmjwPLo8tHhseBucW8JXgcnFvNWxZ94H5w3NCvDtGj7Ui39m2/yWg/bho7JD7trUM+7Zet5PZ/4fPK3xUx7RYiegHy1M+h5fUlm5eRaJkzbITYeYX2jx13i0veXGMDQHLqA6tAfNbLPs3aNX/d9+iLaTss6yZ2Dh1GI4F5eAz/POYhMx5bUh6L3m3HaNha5NAxHTaoXXYs3HcO38ywWq33DO47h29W++Ujw+PA3EJvjY8sjwNzi3lL8Dg4buiH9122xYHxwWZbxTo4vyY2RLQfN40dkpD2k7nlRvu5wd28aR3QjN1fXbEYEQuRjSmfhl5fq2tMOrcp0Tpn2Aix8wrt79vPtb1Lu9g1A8AZPS6iHhfC48NHCJZNxq/HHimPwDw8x7T1yKHCaGAxD5nx2FrkUfFosKB3mzEbHkl5LGqXFAurPKqFipF+ZMfCfef6iNhWWbQfW8xbgsfBudW8ZdEH7gfHjcdDyeKgb/ux9dhjQ0T7cdPYIYluv9xaMXYftjd2my2++vO+fNoq61GI6MnoCZ1RD+tLOr8p2Tpn2Cixcwvt79vPtX2K9Zw9AEDyB172qbsfFObniL6oe1x8PS6mrYYW+/AYxqNHHhXTboE+ZMZo2FrkUDHutunddoyGrVUeFdNhg9plx8J95/DNDoN6ZMfK/cDwbZFDxUg/mvdMHgeWR5ePDPrAo/3Yat6yLA6MDzbbKpHt9dcmK5lP+3HT2CFZtddbGzbbTzttxqF509hpM3YvW4yPahQj90JkY7qnodbXwxqTznFKts4ZNkrs3EL7+/ZzbZ+6HQBckfqMXIa+kBvicRFsNRLYTeYLvCEeeVQYjSzmITMeW4s8Ku4HV9RuO2bDI4c8apcUC6s8qoWKmd5jxsr9wPBtI49+ZMbK48CyxfKR4XFgbqG3xkeWxYHxwWZbJbL9+LXDSnbYQ2i/2GEzDs+bxk6bdcin/bJVSPv5kVK6GHH+Y/UerU9vm5LPc0q2zhk2SuzcQvv79oudpy11PgA4i/nCbYjFRfC46x4C8/AY/nnMQ2Y8thZ5VDwaLOjddoyGrVUeFdNhg9plx8J95/DNDoN6JMXC48DwbZFHxUg/MmPlcXD4tsihYt4aH1keB+YW85bgcVBvPJ5t2eLg4tUh22i/yUp22COi/bxp7LRZh8aHbu2XrZaPHozdyxbLRw96t3Aol1MWIoXPYbAs85wSrvOGjRQ7v9D+vv182ru0dcqnGp09AHRIejOni8/8jE9Z7hKYh+cwHj0ugo0GAvPwstn0yLyYnnbZ9G47RtOjRR4V41GT2iXFwiqPaqFipveYsXI/MHxb5VExb9mx8jg4fHPMI3ocnFvNW4LHwbnVvCVYHDy83I9s79Ajov28aey0WYfGh37tRxt9jN3rFsftv0rdFTH25XSqQqTQOYuWZZ5G0mXu8NHCes1C+/v282kfuyYtVR4A6Jn6LFyH8ci8AJ523cNiHjLjsbXIo+LRYEHvNmM2PEqSZ3DfOXyzw6AeSbHwODB8W+RRMdKPzBA9GgzfFnlUzFvLvYJFo+HbRp6VRbNxY7HLtjo4XuyLbbWo9g49fNsri/b6+04fq/3cZ8Nm+40+VvvZRp+N9l/1eV82buhuQtcUTlGIZDw/yWWZp5F0mT98tNh5ZllnJNc5HbVrcW0AoKnPqFzxss/4VOOxccS8+J123cNiHjLjsbXIo+LRYEHvtmM0PZJyWdQuKRbuO4dvZlit9B4zVh4Hh2+LPCpG5p7lEcOiwfBNyGU+mvdaVo2Gb0YefQlux8riwPhgs62yOjiPJdLtHw0O2iuL9g49Vu3HPruMPnP7nT6r9sutFePQvGnstBmHlq2Wjx6M3esW46NHMaKtG0bruhDJcD6yyTbXKek6f/hosfOM6e/b17V96nYAcEnmha/6wNQhMA8vm02PpFwCfciM2fBokUfFuNumd5uxcN85fLPDaqn3mLFyPzB8W+VRMW/ZsfI4OHxb5Zkvfe1YWTQYvq3yrHNtWjWcHzx2SRYHdfuxj2jRXjlor1h9HHpY7cc+i50243BY++XWinFo2Sqk/fzowdi9brHesypGlHWzYF0WIgnXn13WuU6J1/nDR4yda0x/376xc7W55Es9JgAkpz6oMsRnfvqnDBtrQtN7PLbMi+h7PBos6N12jKZHUi6L2iXFwn3n8M0Mq5XeY8fC48DwbSOXfmSG6NFg+LbIo2LeWu4VLBoN3xZ55stmM0RSQyPX/DUfFi0Ojg/c2yvzOJusPg49Fn3GTWOHJKK9Mm7u9BHbKxt9NtsrQntlt73QZ2P3w9FxB10VIgnWW0z2uU7J12OEjxo735j+vn192ru0DWuj9pw9AGAkfUKoeGzpi95HPBos6N12zIZHEbkW7juHb3ZYLfUeM1YeB4dvizwqRuae5RHDosHwTchlPpr3ChaNhm+LPPOlshmiVcPljvlr3rvJbPRoOD5Y7LKtDs5jbrL6OPRY9Bk3jR2SVXu9tcFor4wPrZ0msf1ya0Vsr2z0MXavWxy3/8r/UrgrYjLa++qiEIlYX3FF5joNsB4nfOTYOcf09+3r0z52XVqqPADQo5epf1PWnfo0HEJf9N5j2i3Qh8yYDY8WeXRMhw1qlxQL953DNzOsVnqPHSv3A8O3VS4V85YdK4sGw7dFHhXLR/NewaLR8M3KtXw0hmjVcLlj/DL37LAb3huPG8uv6ZBkdXDus8nq49Bj0WfcNHZIVu2XWyvWofnhRntls/1GH+PQstXy0YOxe91iveduo/1hMaJspNzTbCGi1+K5nqqKzHUaZD1W+Oix847p79vXp71r29D5//IP/7173zMHANzpC9+NDwe9247Z8OiRQ8d0yKJ227GyyqVaqZjpPWasPA4O3zZy6UdmiB4Nhm+LPGMsH82xsmo0fHPIJVo1XO4Yv8w9O+yG98bjxvJrOrRFN1g1nPtvsvo49Fj0GTeNHZJV++XWinVofmgdMBmHlq182ys7fSbrFkIftWvaLRwdPD0UI186bR8wch1prhDxmHsziszZGGQ9VvjosfOO6e/b16e9a1uXdjFrBICzUZ+JdsyGR/rCeRHTYYPaJcXCfefwzQ6DeiTFyv3A8G2RR8fI3LM8Ynk0GL4JucxH817BquFyh77MtkO0arjcIeXaZDe8Nx43ll/ToS26gRl344Pl145F37nnLqPPuGnskKzaL7dExiGnPsahZavlowVj97LFRh9j97rFeo+5Szg6WO51LkYUOeFCM4WIw1ybU2zOxiDL8eJmEDv3mP6xY6fgMofDNqrBmQPAxT19+4xP//0bHwvDI/NC/B7TIYvabcfKKpdqpWKm95ix8jg4fNvIpR/ZsbJoMHxb5FIxby33ChaNhm+LPPOltRmb7IZJcw0xbSy/pkN7dKNF4/HB8ss4vMdqOPfeYfQZN40dklX75ZbIODxvGjtt1qF5063PstXy0YOxe91ivedus70i7J12feXnehQjipBKq16I7MytWUXnbAy0HDNuBrHzj+kf0tenT+zaAKBv6lMwVSjDP/WF8yKmwwa1S4qF+87hmx0WtceOlcfB4dsjj46RuWd5xPJoMHxb5VKxfDTvFSwaDd+sXMtHY2xaNV7u0JfmZmyyG94bjxvLr+nQHt3IjGlj+TUdOqIbGmFmUV+7dL/HprFDYh0eNzP1mcwtd/oYh5atlo8WjN3rFkIfI5VwdLDRZ/qH3MeB7mwkqFaIRC2kkuJzngZbjxs3i9g1xPQP6evTx7WtS7ujNiFrAYDc1GdTqviMT/v944bAbis2ux8YvplhtdR77Fi5Hxi+rXKpGJl7lkcsjwbDNyGX+cgM0aLR8G2Ra74cNmPTqvFyh74cN2OT3fDeeNxYfk2H9uhGZkwby6/p0BHd0Agzi/5yonM8No0dEutwiT7Llht9lo2sVsd9jM3Jes/dZntF2GvsMo98he9dEduUrHghYqynK8XnPA24HjduJrHriOkf0tenj2tbl3ZHbULWAgA9Up93Uizcdw7f7LBa6j1mrDwODt82culHdqwsGgzfFrlUzFvLvYJVw+HbItd8aWrGplXj+cH8ZRweYpPd8N543Fh+TYf26EZm3Jl51JdxaI+Z59HJzDN+ObHzDDH+Q+dQscM4rPvt9rEOzw/d+hibg+WjBWO3Ux9j97rFes+dsVs4OtjoM/1D6vMVn/vnp61wxQqRrUW0rsq8pwHX44bPJMU6Yvv78hnPta1Lu6M2pc8DAGSlPtSEUHdD1ObK/fjwzQyrpd5jx8rj4PBtkUvFyNyzPGJZNBq+LXKpWD6a9wpWDVc7rEdjiKSGRr75az68y2z46DBuLL+mQ3t0IzPuzDz6y4Gda+pkZhm/HNh5hpg3zUwqDhjNdP/dftbh+aF1wGQdmjfd+ixbLR8tGLvXLYQ+Ripj0yDsNXat2ytzg9hiJHshYqylK9XmPQ26Hjt8NinWEZvDt3+KOQPAJakPUJ/Ycj8+fLPD6qT3mCG6Hxy+rXKpGJl7lkcsjwbDt1UuFctH817BotHwzcplXu6aIVo1XO6Yv+a9u8yGjw7jxvJrOrRHNzLjzsyjvxzYuaZOZhb9dcjOM3UZN808xsE9ZtOp+bw57dhiHF722ehnHZofWgdMxqF1q9A+yz13m+2VkD6KtXd4+BWfE16MZCtEthfQtmrzNgZejx8+oxRric2RYg57XPO7tDtqsz6u9pw5AFzX+jPA/oRYtxg8Dg7fzDBa60d2iB4Nhm+LXCrmLTtEi0bDt0Wu5aWujk2rxssd9qWzik12Qx3TxvJrOrRHNzLjzsyjvxzYuaZOZhb95UTMpWL59Ti4RzczYt60c6nYYByeN42dEuPQsuVGn2Ujq5V1UDN2r1us99wZu4Wjg+0+0z8EwpHpofrHlwcWI8kLEWGaXag6b2Pg9RzCZ5ViPbE5Qvr79HFt69LuqI10XO07cwC4pk//tE92+0y4Hxi+mWG1Nvcsj1gWjYZvQj7z0bx3w6Lh8G2Ra3lpqmPTqvFyh32pq2KT3fDReHyw/DIOb9GNzLgz8+gvB3auqZOZRX85sXMNMf5j+TXuPaCbGbF8aOZScUBoOm5aO23G4WXL5aMFY3don6X9Puofch9rr7Fr3V6T+0z/iJKkENETiZ1MLVXnbQy+nEfcGU2xptgcIf19+ri2TXEuAODS1AfpPYZvZlifsHqPGaJHg+HbIpeO5aN5r2DVcPhm5Vs+GmPTqvFyh32pq2KT3fDReHyw/DIOb9GNzLgz8+gvR0I+M4v+cmLnGmLeNHOpcDB3fnSZH5q5dOywm07N54dmvg3W4Xlzp59xaN0qtM9yz52xWzg62Ogz/WO7j3XE6GMLuSsSVYgI0+tK9flPg6/nETerFGuKzRHS36dPijWajvKlHg8AWvXpn/rJ44eevqBfXIiPzD1miB4Nhm8e+USrhqsd1qMxNq0aL3eYl6Y6NtkNH43HB8sv4/AW3ciMOzOP/nJk5xvCzKK/nFh5dLdx08xlHNxjNp1i3vTMZzYzmi93BeSbzA+tAybr0LLVRj9j97rFes+dsVtuIew1dq3ba3Kf6R+bvvxzXjltuQkqRI4m0brq8zcmsJ5H3MxSrCs2R0j/FPOWuOQ9arN7XB08cwA4CekNfhSj7SOWRaPhm1B0mI/MEC0aDd+sIkHFes+OVePlDvuyVMUmu+Gj8fhg+WUc3qIbmXFn5tFfjux8U0czk/pyJuZSsfx6HNyjmxmxfGjmUnHAbGo0n3fZ+VTsEJpaDwfz1opxaN1no5/VZ2m/j/qH3Efot9tHEY4YffaNLXyKEa9CRJhaV5qYvzGB9VziZpdibbE5Qvr79nFt79Iudr0A0Bp90bX8Gj/vjuLTPnX9tyGiRaPh26pIWD6a925YNBy+rYoE89Ecm1aNlzukc7LJbvhoPD5YfhmHt+hGZtyZefSXIzvf1NHMpL+c2LmGGP+x/Br3OtBNp1g+NHPp2GE3nZovd9k5d5jNpljvWu8RGYeWrZaPFoxD61brPXfGbuHoIKSPYh2Z+kz/2GG0mDa/7LPdihGnQsRI36Um5m9NYj2fuBmmWF9sjpD+vn1c26c4H0qqPADQLfVBeI/hm1AkKPaece+GRcPh26pIMB+NsUlqvMq3zrnJbnhvPD9Yfk2H98xd57gbHyy/HJm5dNz/sf5yYucaYt40c6lwMHd+xLxp5tJxQGi+3OWR0242NV3vWu8RCc2Mzcny0cNuH0Xo59RnvXe/jyIcMfrsM1pYfVyKkd1CRCU6nkDbqs/fOonyOY2bZVzvUWyOFHM4knqMo3yxxwGgO+qD7R7Dt1WRMDL3LI9YVg2Hb6siwXw0xiax8XKHxyXpstGj8fxg/jIO7zEbLjqMD5ZfxuE9uqEZ93+sv5zYuaZu46aZyzi4x2w6xfJhfD5lfmjnU7FDaGrvWudTsUFoJuwarPcsGLvXLTb67fZRNvpMu+U+inXEqY9iNFSGTWuPE7EQCUnUmibWYE1Ank/cLFOsMTZHaH+ffqnb1lozAGSnPqAC4tM/5ZOMHYtDixCtGq52WI/G2CQ2Xu7wuiS1G94bzw/mL+PwHrPhosP4YPllHN6jG5px/8f6y4mda+o2bi6/Hgf36GZGLB+auXTssJtOzZe77Jw7zGZG8/Wu9R6R3WwIYddE3rtgHV63XO+5M3bLLYS9xi7h6EQ4cthHM45OjbfaH90VWRQiU66uNbEGaxLbc4qbaVzvUYocIXKN65I3VRsAOBP1uWfGJrth8qJjuWP+MvfusBveG88PpHy7zIaLDuOD5Zdx+IhubHQyM+kvZ2I+Fcuvx8EjuqnRZX5o5tJxYKP5vMszp9DU3rXOp2KD0EzYNbD3zkcWhCbWQ8N6z53Vb03Y69THOmLskvtoVl+nPqoY+XPT1tq9ELHSdqmZNViTkOcUP9sUa62Vw7ePa/sU61GO8iyPq0fnCfsLwDV82qequyGCxUfE8K1I0WHuOWA3vneYH8xfxuE9ZsNFh/HB8ss4fEQ3NuP+j+WXMzvXEPOmmU+Fg7nzI5YPzXwqDphNjS7LXR45zWZG8/Wu9Z5NQlNh10Deu2I1sx7eY7Z95M7YLRwdCP0O+yjCEaPPdj/FODo1Pu6jjC22ipEnXvLK1z79n33Zh08P+3N8AgqxJrI9r/gZp1hzihyvecvbb5/03GdPj9z4juvT3qVtbBv72HM/9j+fts7pB3/o70xbAHrxKZ/8CdOWux98jf97/b/7zr88bW1YfZgud7h8Hi+IHeadafJp4yVykI2OwRk3883fvQhdlrvS5FTm3Z45hebrXR45nfIpjjmd82kOea0mco+NPNPu7VGEI8au7X6KdXR6uN9HWQ+g/vFnvuu/GR8MnvP7/qe+C5Hjk1CANYntOaWZbao1x+ZR/f/WUIhoLgWJ75g+7V3apmizOD48eO7HUYgAaEupQiTGd/21b5u2NogfxvPOo8/qld0OJy46FKHbvCsg50aX5W6PvE75lLiccm/HnM75FIecXvm0/U7b/bf7bffR1gMc91GW/cw+pyhE3E5CAdZEtueVZsap1h2bR/U3ixDlqBDxHdOnvWvbo3bex4cdzRYiriflQOmLEwDxeihEYvz17/jWaWvD7udfQ0WHInQddwXm3MyneebdaJ4653qXR06nfJpjXqvZfi+HnF75FPec2y2FI8au/RGso9PD/T7asrHURxcj3RUibiegAGsi2/NKN+NUmWLz6P52IaLsFSO+47q2T9lur83q2LTj9L+aRSECdOf3f/Lvm7bc/dBr/vtp69y+869+y7R1YOMHQp6iQwnIu5tPSZNTmXd75jzMp3nkFZrKvR1zOufTHPJaTY57HLRIkW/a5dXXuY/i108VI90UIm4noBBrMttzSzfrVJli85j9VSHyx1/w3Pv2173pLVWKEMWlbYo2q+PGjjMXIxQiQH8oRPL4a9/+zdOWg40fKuPuo584G4Ru866AnBtdlrs98wrN17s8cm40lXc75hWabfcMy3nc66CFdz5lo5Wxez+PPOh+H205iFuf2+3PveHj2i5EXBdShDWZ7bmlnXWqbLF57P7mHRFVkPzsu941PVryHdenvUvbFG1Wx40davN5FCIAGkIh0p7v+CvfNG05En4wLXcJDY5sdJl3e+Y8zKd55BWayr3Dc+73dMgrNDnuddDCOuwwi4F7zuN868bHfZTQfsrTQyHy8e0WIu4LycyayP680s46VbbYPFv9dTGi7ob82mc+875tFiS+4/q0d23r0m6vzeqYtUM9pBAB0BIKkXP5q6/+xmnLw8YPtuXujUZbhObrXR45N5rKux3zCs32ezrktZoc98iRUzloZRx2y6etO7r1j+/XZCHitohCrMlszy3trFNmi83l218VJKoY8e3n0961rUu7ozar48YOvUkhAqAlv/+TAgqRv0Uhclbf/pdVIePyE9Gw0Xy92yOv0HS7t2PeAjmPeznk9c6p7LQKymcSeky73HItG7v1UZYd/twbGypE3BdRgDWZ/bmlnXnKbLG5QvvruyP/buPXtSQ+Y7m0TdFmddzaoR+esxAZV/eD/L+kQHcoRJDKX/m2b5i2lKOfmhahuZzBI6/VdL+nQ16hyXGvgxbWYYdZTHZaBufUhB7GLvd8607efYd/6D6vbKEQcV9AIdaEtueXfuYpM6bIFZLD7PPrhoLEpRjxGce17VE7lzyLNlYH8+FzP/Zjpq3z4dc1gP5QiKAFr/7Wr5+2bC4/gQdCs/2eDnm9cyoHLazDDrOY7LQMzqkJPYxd/vmUZQL3HNv9qhYi7gsoxJrQ/vzSzz5lxhS5QnPY/VQxomwVJD7juLZ1aXfUZnXc2GEfoxAB0BIKEfTu1d/ydfd/7v+sPvpJPrCaOPQYHLQKyqnstAzOqQk9jF3++TR5Yu75lh3sftUKEfcFFCBMZnt+eWaeMmuKXKE59vpJd0d8xnFt69LuqM3quLXDPk4hAqAlFCK4sr/8za+atlyuCY5bHF0DyA5aBeU0CT2MXf75tO2J+eecegz/2OpbvBDxX0Rm1oS255dv5ikzp8gVmsOln3l3xGcc17Yu7YLaGDuk/k0WIi4LdcDFCdAfVYj4fgS8hvc6cPu2b/7a1c9Pt/fSQaugnCahh7HLP5+2PbEkOYfNvTzFCpHwxWRiTWh/fvlmnzJzilyhOXz7qYLkZzL8IbtLu6M2q+PGjq2+z/0vTnxHhIsToDuf/EkfP225e83f+uFpC0CIb/2mvzRtDRyuHfYJvaJzKtt5w3MqVm/HnNkLkbhFZSKfK0He2afMniJXaI6QfqrPBzgWI675XdodtVkdt3Zs9T9zIaJQjAB9oRAB+vMt3/g109bEuOg4un7ZJvScdoXn1NYT9M2ZrRCJX1wG1qT255h3BSmzp8gVmiOkn9lHFSPKVkHimt+lXVAbY8defwoRAC2hEAGu5Zu/QRcxwtXKtGvvOsbN+qIoNmeWQiR+oYkJE9qeY/7ZpxwhRa6YHL59t9pLd0d8cru0PWqzOm7t2Oqv9j+PQgRAQz75EwMKkb9NIQJc0Td9/V+ctmzGlY+8GWjO8Mo3/r50hUj8xDKwJrU/x/wrSDlCilwxOXz7HrW374645ndpd9RmddzasddfHaMQAdASChEAJXzj1/2FaevIdCW1/Mftzz+ZoBDZu0irRpjU9jzLrCDlKClyxeQI6evaRxUk/9bxD9ldcga1MXbs9dfHShQiLutw55eNX9kA+kIhAqB13/Cqr74XIs+YHntTlzJpL44SsSa1P88yK0g5SopcMTlC+vr0UUXIBw7FiIo9qc7pKk9A4qcLfI0TSxUAAAD1/LFXfMn9n96FSLOXMtbE9ue5fzSV1KPkn/G+kPF9+ui2qhjRBUmMo7FXx60de/2PcgMAAGCfVyHS5MWXmpTHBWSpVaQeJVW+0Dwh/WLnvHV3xCVv7Nh7/WNzd0Mt9DKLBQAApTkVIs1ej1iT2p9nmVXkGCVVvtA8If18+2y1t++OZDsXMYlV3zMGgC7Nb2P3LwCoYbcQafZ6RJjY/jzLrCLHKKlyljkDYVzmpouRD3L4da2jfDHHWz6PADBSn1R8WgFon1iINP0RZk1sf67lVpJjlFQ5Y/KE9PXp49P2fx6KERV7xUjQWmNOEAAAAIIsChF1PdbsNZkwue25lltJrpFS5YzJE9I3x7lQzLxHxcie1fysHXvzz7U2AEhKfVj5BgBU8ChEmv0cEj4k9z83y60k10ip8sbkCenr28e1vdROFyNmQRKzXiW2PwDU9kmf8HHTFgC0716INHsBZk1MPdye6/7RlHKOlCpvTJ6Qvr59UqzT/FUtl3yrNh6T2Gv6y3//H0xbAAAAcLX7x+rVqKs+68pv/5rR44oyUs6RUuWOyVPiTPqM4dJWFSMfPBQjKras8lg79sYJPeZC9U8b6b8AAAByaK8Qsa579AWWbP9oajlHSpU7Jk9o31znxTWvavfTQzGiYq8YSc2cn3nh7vM1ZkkZAAAAfWinEBGuo/Yvq8pddAlTS6rcStLznXvqtdr5dDFiFiSrMa0de3NKPV8AAACM6hci6kpPuDDcvgDcP5pa7pFS5o/JFdLXt49P+5i1mHdHVnmsHaHjxMwvihq4dADohvQWdgkAqOGJl7zytU//ji/78OlhYdan3/GHYbmPyxIjpRwjJldIX98+Pu1d27q003dGXjcUJndWp70cPsee+zG/Z9o6n7/1d/7utAWgdd/wqq+etvz8sVd8ybQFAGUMNUilOyLqKs7jglDskFGJkVKOEZOr3Fl14zofl3aqjSpAVLxUFSRWp70coccAAADgpnwhIlwM7l/Ylb3sKzFayjFicoX29e2X+py65LPb3IuRd3vmPZS0c0q9QgAAgPMrV4ioazXrem3/8k3okFGp0VKOEZMrtK9vP5/2Kc/NypD8de981z10MbJlbx5Z5wgAAHAh+QsRdeVmXb0Juwz7R3MoNVrKcWJyhfb17efT3rWtS7tVG2vHTw3FyIccFCMSeWzXmQMAAMCU94/VhWu0/cu2shd1JUdLOVZsrpD+ufu4tA1uY+3UD3UxogoTbW8M+dj4XwN53sf83vHhht/7ez562uoPf8QK9IM/VgfQi3x/rK6uzKyrNmGXYf9oDiVHSzlWbK5S6/YZJ+ucrOTmQ1WAmHdH9uYhH5v3qkJjLwAAALCUvhARLvz2LvCOjuZQcsSUY8XmCu3v28+nvWtbl3arNtaOrRy6GPn1Xr+uNWZT3z/pq77svg0AfVCfXHYAQHnpChHhs2z/o638h1/pEVOOFZsrtL9vP5/2rm1d2oWuT/s3QzGiQipG9nJThABoj/rU2gsAaEN8ISJ8rh1/1JX/ICw9YvkVbgudS0tr8GZN3nUtuhjZvzsyZuv6/AA4KT6ZAPQjrhARPu/2PwLV0bIfkuVHTD9eTL7QviH9fPq4tnVpd9TG97h5d2SvL3dDAAAAwoUVIurqzLpCE3ZZ9o/mUH7E9GPWWEMIn3m6tnVpJ7bxmMxeU1WMfOhQjKiYjT08hgCApv2xV/ypaQsAyvIvRIQrsP2LMnW0/GVbjQvF1GPG5gvt79vPp33qc7RiDRAznur7k0MxosIsRtR+7oYAAADEcS9E1NWXcJFn7bLsH83heE55pB4zNl9of99+uc61S96c58g+pouRD323d5v2AAAAIMZxIaKuyKyrMmGX5bhFDuVHHKUeNzZfaP/c5881f/A8rI6p1/OT73zn7bVD/AaKEQAAgGj7hYhwJXd8cZf68u+YGrH8qHnGjc0X2j+kn0+f7OfJ2nE03t5x+di890O+7M/dfur//t9MjwCgcerjay8AoBK5EBE+nI4/r45b5FB+xFGOcWNzljwXucZyyVtynaNxRPVd/22ILkYoSAA0RX1Q2QEAjVoXIsKH1v7nWJ1PujqjjnKMG5szpr9v31ztg9dgdTzKs3fcZw6qGOHuCAAAQJi5EFFXYMIF3f6Fmc9lWzp1Rh3lGPts6zGlzr/K5zmA/3zGHur71r8pi7sjAAAA/sZCRLg6279gU0f3W+RSZ9R8K06RMzRHSD+fPqnbpmqzJaYvd0cAAAD8rH41S12M7V+QxVyuhTueVz61xnUROreQfrnOQ3Beq+NRnr3j8rFxr/ru+t8N4e4IAACAm0choi629i7UXFrkUmfUUc6xY3OXPC++Y6WeW8m12nz/44XcHQEAADh2L0SOL/LqXAaqUWtegOYcOzZ3TP/c59Qnv0tbsY218yjP3nH52Lj3KO8e7o4AaIH6HNsLAKhl9atZS/U+pmp+OOZedWzumP4hfXOdi+C8VsejPKHjqH6+d0Ns3B0BUJL63LIDAFq1U4jU+/iq+cGZe+zY/DH9Q/r69nFtn7pdKDl/+lG5OwIAALAkFCLqIiz35Z+s3sij3GP3tjbfPqnXJ+azdh6NGTon1S/2boiNuyMAAAAzqxAJvWyLV2/kcezc46fIH5qjxLn1GSN4PokXIqfLf7YoRgAAAB6FiLr4yn8BJqk38qjE2CnGKH2Oco3nmtel3VGbvePysXGv+p76boiNX9UCAABXd/DH6nkdXUjmVmL8FGPE5Ajp69sn9XkU81k7j8ZMPacc+FUtAABwZdUKkdoXiiXGTzFGTI6Qvr59fNoHryXmJAjkdONe9T333RAbd0cAAMAVFS9E1IVe4utKL6XGTzFGTI6a51jiOh+XdkdtWlu7C+6OAACAqylaiNS+QOzpAjVmrqF9ffsVOZ/WILFjyv3Hvep76bshNu6OAACAqyhSiKgLvNgLyFglx6+91hC+c/Zp79o2xXnr8dzbuDsCAACuIHsh0sKFYck51L6YDunr28envWtbsZ218yhX2PFxr/pe+26IrZW7I9/wqq+etgAAANLJWogcXRjmpsYvOYcUY8XkqH2+k0q8mL10LZ837o4AAICzylKIqAu72hd3pcdPMV5MjtC+vv182ru2dWl31MZ3HaO5V2t3Q2yt3B0BAABIJXkhEnZBmFbpOaQYLyZHaF/ffj7tXduK7aydvvO07fVXx1ovQrR6d0dinwEAAIC1ZIWIulRp4XKl9BxSjFfjvLXwXIkCJha2lmbPwKG0xYg6D0cBAACQXpJCpIVLlRqXTK2suwSfcVzburSLXZ/cf9yrvvdyN8Tm/qtaapV7AQAAUEd0IdLCpUyNOaQaMyZPaF/ffj7tXduK7QIWFNDlNMZf1fqzUzGizoQUAAAAbQouRFq5zKkxh1RjxuQJ7evbr8b51Y7GDjs+7lXf278bomZ5FKogUcXIf3sPAACAXgQVIuPlT3015pFqzJg8oX1zny/X/GI7a2fuubZBrXIv3KliRBckAAAAPfAqRPwvj/KoNY9UY7ZwDl34zNO1rdgu4IQcdZGPj3vV9/x3Q9QoR5Eed0cAAEAvnAuRPJdN/mrMI+VlY2ye0P6+/VKtN0Stc+RHjbIX9XB3BAAA9MCpEKl7WTWrMY+UY8bmCu2f+7y55hfbWTtdcoWtZ+ylvh/fDVGtjqJ93B0BAAAt2y1EWrrkqjGPli43Q+cS0s+nj2tbsV3A5I667B2fj6mtvTgPr7sj0qnQAQAAkNhmIdLKtUet66DUY8bkK7l+n7FaOkf75syf9FVfOm1dy+LuiDodUgAAABS0KkRauiapNY/U4/ayjlzzFPMGDHbURT4+7g0Yri9qgQfxIV/6Z+/xU3+GX9UCAAD1LQoRdb3SilpzST1ubL7Q/rnPX1R+oXPu+Spd3w1RJ2gvPFCMAACAFjwKEc9rmWwCrquSST1ubL7Q/iH9fPqkbpuijXx83Ku+N1+EqEnuRWK6GKEgAQAAtdwLkQzXOUFqzSPHtV5svtD+If1Sr10T8wYMdtQl1/yTUpPciwr4VS0AAFDT5h+rl1bpWizLuLE5a50LF6nnlm+tY2b1PfvdEDXIUTSMuyMAAKCGJgqRWtdpjV8fegtZj0+f6LbWTpd8R2185hRMDbIXJ7B3d+QkSwQAAI2pWojUvI7LNW5s3tD+If2KnoNcg4nGwdR3p7shquFenJy51Jcad0cusnwAAFBJtUKk5gVOrrFj84b2D+nn2yf1OXPJd9TGeU6q4V6cnLRkM2yqGFHxOn5VCwAAZFSlEJEufkrJNXZs3prn5IjP3MS2AYsLPx9jT/X9k77yS2MSdUMtcS9C6WKEggQAAORQvBCJuTCKlWvs2Lwx/UP6Fj0Pws4U4+daQ4vUWvciJ3135I8//7nTHgAAgDSKFSIlLpq25By71pqUkLF9+6Ren0u+ozbbx8cj6vv9bkgn1Hz3ogW6GKEgAQAAqRQpRGpeTOUcO0Xu0BwlzqnPGGLbEpN8GAcrOqQjNae96IUqRr7uzW+hGAEAAElkL0RqXmi1fpFXen65xnPN69LuqI1LjpJ3Q9R8juJMvv5rv4piBAAAJJG1EKl5EZZ77Nj8Mf1D+vr2iT5/0Ql8jIPlGFLl3Iur0sUIBQkAAAiVpRCpfZGWe+zY/DH9Q/r69vFpL7YVdrrkPGrjksP3bojKuRdYU3dFFFWMcHcEAACESl6I1L54yz1+zfW1dmHsOh+XduFrG3tu9Vf79wLxuDsCAABCJC1Eal/Y5R4/Rf7S58h3vOj5ZVqgS9pP/MovvbczA3nouyIad0cAAICvZIVI7Yu+3OOnyB+TI6Svbx+f9mJbYadLzqM228fHI+q7KkJQll2MKNwdAeqR3pMA0LLoQkRdBB5dSOZUYvwU+WNyhPTNeU5cc+ecA9rF3REAAOAiqhCpfaFZYvwUY8TkKHWOo8cJTHDUbfv4eER9525IPXv/Dyx3RwAAwJ7gQiTwujOZEuPXXmMo33n7tBfbCjtdcvrOcxbeE2VxdwQAAGzxLkTUJWDty8AS46caIyZPSN/az01KR2tRx7kbUp/L76VzdwQAANi8CpEWLnJLzCHVGDF5Sp1rn3HEtsJOl5zh6xt7hvdHDq7FCHdHAACA5lyItHDhV2IOqcaIyRPa17efT3vXtjHrNrnk4W5InyhGAACA4lSIpLq4jFFiDiUvolPzHTPJHAOThI899kwydyTn868O5Ve1AADAbiGiLvhqX/SVmkMrF7ch88g9dzG/sNNlHqnacDekf/yqFgAA17ZZiLhcDOZWag4px4nJ1eJ6Xdummvt2nvFIqnGQR8h/UI27I0A9X/TFf2raAoDyxEKkhYu9UnNIOU5MrtC+vv2SrDcwSZKxB9wNOR/ujgAAcD2rQiTVxWKMUnNIOU6N85Z7TDG/sDPVPLbzjEdSjYO8Qu6KaNwdAQDgOh6FiLrIa+FCr9QcUo4Tm6vFNaeeU6p83A3pQ2wxwt0RAADO716IlLoQPtLiBXluoXPx7ZdkzUISl7xxbcYj6jtFyLVwdwQAgHPb/GP10lwuVlNIPU5MvtC+uc+VmF/YmXseJUZAPjF3RTTujgAAcF7VCxF1qVnqcjP1ODUuk0PG9OlT4xwdtVHHuRtybdwdAQDgfKoWIqkvevfUuMDeU2rtScYRkqSa/3ae8UiqcVBHirsiGndHAAA4l2qFSMkLzNRjxeYL7Z/7nLV2njTuhvQtZTGiUIwAAHAOVQqR3BfUppJjuQidT0g/nz6bbYUDLnnj2oxHXHLgmvhVLQAA+le8ECl5cZljrJic3a1dSFJyDQp3Q84h9V0RhV/VAgCgb0ULke4uxC2lL8K13OOmzu+Sb7vNeCT3mnEe3B0BAKBPxQqRkheWOcaKzRnaP6RfkvULSZLk9cDdkHPJcVdE4+4IAAD9yV6IqIvXUhewucaKzRnaP6Sfbx+xvbDTNa9Lu+024xHXsQAbd0cAAOhH1kKk5AVlqxevLV9U15jb9pjLI9wNOaecd0U07o4AANCHbIVIyYvcnGPVuFhXQsZNMlchiWveFOMnWQOaVqIYUbg7AgBA27IUIiUvJnOOFZs7tH9IP98+qc+bS77tNssj3A1BKtwdAQCgXckLkdQXuHtyjhWbu+R58LU5N+FAyXW0fM6QVqm7Ihp3RwAAaE/SQuQsF62xuWP6h/RNci6EJK55Xdptt1ke4W4IcuHuCAAAbUlWiLhetKZQcqySQtbl26fVc6fmRRFyLaXvimgUIwAAtCG6EFEXkCUvbnOPFZs/tH9IP98+m+2FA665XdpttxmPuI6F86ldjFCQAABQT1QhUvoCMvd4sfm7vKAWJu26Dpd2rrm4G4LS+FUtAADqCi5ESl905x4vNn9M/5C+vn1ynz9/44zamxdKq3VXROPuCAAAdQQVIqUvHnOPV/NiOGRs3z6b7YUDrrld2rnm4m4IauPuCAAA5XkXIq4Xl6nkHi9F/tLnJImqkx4H7/K8IYvad0U07o4AAFCOVyFS+sIx93gp8sfkCOnr28envWtbl3bbbZZHuBuC1nB3BACAMp54yStf+/RHfelvmh5u87mgTSH3eCnyx+QI6evbZ7O9cMA1d3y78Yg+TiEC0xd98Z+attqgixFVmACtSHkHsbX3HIDrGGqQ40LE9cIzpdxjpsofmqdUv832wgHX3C7tttvMR9QWRQgkLV4YqYKEYgSllfiVRQoRALWoQmT3V7NcL05Tyj1mqvylz43veJvthQOuuVOtOVUeoBT+dgS5qaLDDgA4u807IjUuFnOP2cKFdEhf3z6b7TcOuOZ3abfdZj6itrgbgj0t/7+03B1BjNYKDO6IAKhl81ezXC9MU8o9Zqr8MXlC+/r222wvHHDN7dJuv814VLehEMGe1i+OKEZwpJc7GhQiAGoRCxHXC9OUco+ZMn9MrpC+vn022wsHXHPHtxuP6OMUIXDRQzGiUJBcW++/QkUhAqCWVSHiesGZUu4xU+aPyRXSN1mfjUSu+V3a7bcZj+o2FCJw1cNFEndHruGsf7NBIQKglkUh4npRmlLuMVPmj8kV2te332Z74YBr7vh24xF9nCIEPnq5SOLuyHlc7Y/EKUQA1PIoRD5S+GP13FwvcEOlzB+TK7Svb7/N9sIBn9wubbfbzEfUFkUIQvR0ocTdkb5creiQUIgAqKVKIeJzERwq9Rgx+UL6Ju0jHHDNH99uPKKPU4ggRG8XStwdaQ8FxzYKEQC1FC9EXC9sY6QeIyZfaF/ffpvthQM+uV3abreZj6gtihDE6PFiibsj5VFw+KMQAVBL0ULE5wI4VOoxYvKF9vXtt9l+44Brfpd2+23Go7oNhQhi9HqxxN2RPCg40qEQAVBLsULE9eI3RuoxYvKF9g3pt9lHOOCaP77dfERtUYQghZ4vmLg7EoaCIz8KEQC1FClEXC9qY+QYIyZnaF/ffpvthQM+uV3a7rcZj+o2FCJIpfdiRKEgWaPgqIdCBEAt2QsRn4vfUDnGiMkZ2te332b7jQOu+ePbzUfUFkUIUjrDRdPV745QdLSFQgRALVkLEdcL2hg5xojJGdo3pN9mH+GAT36XtvttxqO6DYUIUqMY6QMFRx8oRADUkq0Q8bnwDZVjjNicIf2T9tk44DpGfLvxiD5OEYIcznLhdJZf1aLg6BuFCIBashQirhezMXKNEZM3tK9vv832Gwdc86dpNx7VbShEkMuZLp56uTtCwXFOFCIAakleiLhezMbKMU5MztC+If02+wgHfPK7tN1vMx7VbShCkNvZihGlhYKEguNaKEQA1JK0EPG56I2RY5yYnKF9Q/pt9tk44DpGfLv5iN6iEEFuZ7yAKnl3hIIDCoUIgFqSFSKuF7KxcowTmzO0v2+/3fbCQZ/8Lm3324xHdRuKEJRy1mJESVWQUHBgD4UIgFqSFCI+F7wxcowTmzO0f0i/zT7CAZ/8rm23281H1BZFCEo680VUyN0Rig74ohABUEt0IeJzwRsj1zgxeUP7hvTb7LNxwHWMNO3Go7oNhQhKO3sxotgFCQUHUqEQAVCLKkSeMW17c72IjZVrnFLzL63supajUYQAab30S//sPVRBoooPHQAAnEHQHZGrFyGh/UP6bfbZOOA6Rpp241HdhkIEtfT+/+q6FBev+zP/7f2fqjABUuGOCIBagn41y/UCNlaucWLzhvYP6bfZZ+OAzxiubbfbzUfUFkUIauvhgirF3QxVkFCMIBUKEQC1eBciPhe6MXKNE5s3pn9I380+wgGf/K5t99uNR3UbChHU1tIFVe5fn6IYQSoUIgBq8SpEfC50Y+QaJ0Xe0Bwh/Tb7bBxwHSNNu/GobkMRglbUuKiq9Tcb/KoWUqAQAVCLcyHievEaK9c4KfKG5gjpt9ln44DPGK5t99uNR3UbChG0IudFVat/JM7dEcSgEAFQi1Mh4nORGyPnOLG5Y/qH9N3sIxzwye/adr/deFS3oQhBa2IvrFotOPZwdwShKEQA1LJbiPhc4MbKOVaK3KE5Qvpt9tk44DOGa9vtdvMRvUUhgha5XFz1WHAc4e4IfFGIAKhlsxDxubiNlXOsFLlDc4T02+0jHPQZw7XtfrvxqG5DEYJWmRdXZyw49nB3BD4oRADUIhYiPhe3sXKOlSJ3TI6Qvpt9Ng74jOHadrvdfERvUYgA7eLuCFxQiACoRRUii/+yus+FbaycY6XIHZMjpO9mn40DPmO4tnVpp9tQhABtU0WIKkb0HRIAAFrzKER8Lmxj5Ryr5DokIeP79vFp79p2v13IqgDUpooRXZAAANCaeyFS8jIz51ipcjdz2d3Y9b+eDndDgL5wdwQA0KLFr2bldvYiJKTvZp+NAz5juLbdb7c8ShEC9Im7I7Dx9yEAaitWiPhcQPvKmdtVyBxamLernuYKYBvFCACgFUUKkV6KkGYutjcm4jM/17b77ZZHuRsCnAO/qgUAaEH2QsTn4rmmmHmG9PXt49M+zTmfs6TJB6Al/KoWAKC2rIVI7gvYVPlj8oT03e2T+6QZXIbSbbgbApwTd0cAALVkK0RyX08XvF7flHwOGwl9xnFtu98u+coANIy7IwCAGrIUIrkvY1PmL33J7TtezZJAj83dEOAauDsCACgpeSGS+8I5Zf6YXMnXmSCha4r9dslXBqAj3B0BAJSStBDJfQnbyiVy6Dw2+20c8Bkn9bnR+bgbAlwTd0cAALklK0RSXwjbcl1ol1J6vC3782hllgBawN0RAEBOSQqR3JevqfPH5Eu+1o2EPuPkOj/cDQGgcHcEAJBDlj9WTynXRXaI0L6b/TYOpF6ztp8316gAzoC7IwCA1KILkZyXr2e4NM69Btf8vu24GwJAQjECAEglqhDprVCImW/ytW4k9Bkn3ZyWmShCAOzhV7UAACkEFyLJL8wtqfPH5Avt69sv1zndzzsfzTU+gPPhV7UAALGCCpHcF6xnuCDeXUOCBaY+Rzofd0MA+ODuCAAglHchkrtIyJE/Jmfy+WwkzHVe9/PmGhXAlXB3BAAQwqsQyX3ZmiN/TM7Qvr2dJ52PuyEAYnB3BADgw7kQ6e3iWsk9Z8numBsHc81zP2+NswPg7Lg7AgBw5VSI5L5kzZE/NmfyOW0k9B0n9bx0Pu6GAEiJuyMAgCOHhUjyC3JL7vwhQufU0rnab9viWQdwNtwdAQDs2S1EWrqw9lHjMnt3zI2Dtdev23E3BEBO3B0BAEg2C5FcF8m5xc47+boTJUw3r16fWQA94+4IAMAmFiIlLlVzjBGbM7R/SL9c53g/73xUb3E3BEBJFCMAAG1ViOS6QDblGKPEvL1tTMp3rk2uDQAC8ataAABlUYiUuODNMUaKnKE5cp8zn/z7beejeou7IQBq4Ve1AACPQiT3BbVSYowQofPa7bdxsPY5aPU5AHBN3B0BgOu6FyIlLk5zjRGbN8u8NpL6juXTfr/t+ih3QwC0grsjAHBN4h+rp+Z7Ae4qV14XNce2uc5Ft6MIAdAi7o4AwLVkL0RaLkJCc+z22zjoO1aK9Y3SZQKA3Lg7AgDXkbUQyXUJnCJvlrklSuqTxrWtbsfdEAA94O4IAJxftkIky4X+IFdeVyHj15tz7bMFAOG4OwIA51bkb0RaE3p5vttv46DvWD7tXdvqdtwNAdAj7o4AwDllKUR8L75dpciba27tuc5KAZwfd0cA4HySFyItFyExdsffOOg7Z5/2+23no3qLuyEAzoBiBADOI2kh4nvh7SpV3tA8u/02DvqO5dM+dB0AcAb8qhYAnEOyQiTXxXGqvNe5eJ9Xqre4GwLgbPhVLQDoX5JCpPUiJMbuHDYO+s7bp71rW985AECPuDsCAP2KLkR6uOANneNuvyYXvp4Ud0MAnB13RwCgT1GFSM5r8VS5S9cLvuP5tHdtW3rNANAC7o4AQF+CC5GcF7stXEjvzmHjoO+8065znY27IQCuhrsjANCPoEIk7QX0UsrcWeaZc/E7XIfV7ShCAFwZd0cAoH1J/lg9lVaKkJC+vn182h+3jVktAJwTd0cAoG3ehUiuS95WLqV359Hk9f48Kb3F3RAAmHF3BADa5FWI5LoOT523dL3gO55P+9JrAYAz4u4IALTHuRDp5YI4Zp67fTcO1j0v8+h6i7shALCNYgQA2uFUiOS82K57IT/bnUfCSfqkauXcAMCZ8KtaANCGw0Ik58Vw6tylL9x9x0s7vzmb3uJuCAC44Ve1AKC+3UIk54V96twx+Xb7bhzMeW6U3PkBANwdAYCaNguRnBfCqXPH5Nvtm3Ciadc8Z9Nb3A0BgDDcHQGAOsRCJO1F81LO3KXkXoNr/jOcSwBoBXdHAKAspz9Wb1nMxfhu34RX+T6pjtuuW3A3BADS4O4IAJSzKkQSXn+vpM4dky+0r2+/XOczV14AAHdHAKCERSGS8+I2de6sF+IbyXNf/B/nX7fgbggA5MHdEQDI61GI5LzIzn0B72t3Pgknm3bdc7bWzicAnBl3RwAgj3shkvPCNkfumJyhfXNf/Ifk524IAJTB3REASC/rH6u3VoQc2kgeMmbaec7Z9BZFCACURzECAOlkLURSi7243+2fsHLwTZVwaABAZvyqFgCkka0QSX1xHZsvtH/uIuE4/9xCb3E3BADq4le1ACBelkIk98V7cgkn3N3aAQDBuDsCAOGSFyI5LsRjc+723zmYu6g4zj+30FvcDQGAtnB3BADCJC1Ecly45y4GtoSMm2uutc4BAMAdd0cAwE+yQqTVImQ3R8JJ+6Y6br9uwd0QAGhbL3dHvuiL/9S0BQD1ZPtj9VgpaoTQHCnGjjPPoP5cAAC+uDsCAMeSFCJdXiwnnLRvqpChuRsCAH3p5e4IANQSXYjkKEJS5NzNsXMwx3pMx/nnFrnnAgDIj7sjACCLKkRyXCinyBmaI6RfiWKBuyEA0DfujgDAWnAh0moRcqjIILLjoecWFacJAMiEYgQAZkGFSMsXybtz2zkYsqYS54G7IQBwLvyqFgCMkvyxegopLupDc5QoQo7bzy1C1wEA6AO/qgUAAYVIjovkIhfeHV7dczcEAM6NuyMArujrv/ar7v/0KkRaLkJ28+wcDBnft89x+7mF3qIIAYBr4O4IgKtyLkRCLtiPpMqZY26p+Myt5XUAAPLi7giAq3EqRLq+QN6ZfMi60p+LdUbuhgDANXF3BMCVHBYiuYqQVHlD84T08+1z3H5uEboOAMD5cHcEwBV4/7F6Cqkuug/zdHh1z90QAIDC3REA5zVepO8WIjmu44vVBjsDhczBt89x+7lFyHwAANfA3REAZ7VZiOS4OE6ZMzRXyxf93A0BAEi4OwLgjMRCpPv/hz7xAnzTHbefW3R/rgGgaepT9jzx0i/9f07FiHzcPQCgvlUhkuvjKWXe3Vw7B0PmkOt82LgbApyN+vQg6sf5jMXIGADQs0UhkusjO2Xe1n+sHM9vbtH6WoA2qHdKjwHko4oRXZAAQK92/1g9haI/jncGC5mHb5/QtXI3BNDUu8gOAFu4OwKgZ49CpIcf96FzbGdt80y4vMK1qXeAFAB8cXcEQK/uhUiuH/8p8x7mSrwI33TH7eUW3A3B+anXvh0AUuPuCIDeZPvVrJSXGoe5dhqEzCP3ZZLOTxGC81GvbjsAlMLdEQA9yVKIXO3S43i9cwsuy3Ae6tVsB4AWcHcEQA+SFyKpL0UO8+00CJlLqUsp7oagH+pdIQWAlnF3BEDrsv1qVgqHlzo7DUpdJh2PM7coNScgnHqV2gGgZ9wdAdCSr/9LX/m4vHjiJa987dO/+Ut/0/goUspLFqdcO41C5uLbx6393EpvcTcEbQh5lwDomSpGVGFy5Iu++E9PWwCQ1r0QGXzpmz4xXSGS+pLmMN9Og9C5+PY7bj+3MNtSiKCs0HcEgDNyLUa2UKQAiJG8EEl9mXOYb6dB6Fx8+7m1n1vpLYoQ5BX6DgAugLfHw+v+67EQeemfT/vrWl/0JyhSAOxruhBxyrXTKGQuefrMLcy2FCJIJ+SVi6p4ytAYVZCkLkb2UKgASFqIpP65ephvp0HoXHz7ubWfW+ktihCEC311V9DRVAHkuzviiyIFuIZkhUjq6w2nfDuNQuaTp8/cwmxLIYJjIa/IijqbLoBtpe+O+KBIAc4jSSGS+vrDKd9Oo9D5+PY7br9soR9RhGAt9FVbQUdTBRCulbsjPihSgL5EFyKpr0mc8u00Cp2Pbz+39nMrsz2FyNWFvkor6GiqAPJo+e6ILwoVoC2rQuT+CAAAAACKuN3+/2znL46A3XfRAAAAAElFTkSuQmCC" style="width:50.0%" alt="" /><figcaption>Example of what the visual debug might look like.</figcaption>
</figure>
<h3 id="recursive-ray-tracer-with-visual-debugger">2.2 Recursive ray-tracer with visual debugger</h3>
<p>In Part 1, you already implemented intersections. Now you need to recursively trace rays that intersect specular surfaces. Every time the ray intersects a specular surface (<code>material.ks</code> is not black), you should trace another ray in the mirror-reflection direction. The reflected ray will contribute additional light to the specular component of the illumination model.</p>
<p><strong>Visual debug:</strong> extend upon the visual debug from Part 1 by also drawing the reflected rays. This should be combined with the visual debug from shading (above).</p>
<figure>
<img src="data:image/png;base64, iVBORw0KGgoAAAANSUhEUgAAAyIAAANACAYAAADXcdkPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAMNbSURBVHhe7f0J+D3NVdeL7jeQhJA3YQiBPAiPMjmhJiheUfQqDihwEBwREgiZBwhBjuj13HMVRQ6i5/GIqIQMhCEQMocw6FEQz73OHh+RwaBBUUFEgQdIwhCGvLdr767d1dWrumtY1V3d/fns9/v7d3ettWpV9fCr9e69//8HnvCFb37oAgAAAAAAsCLXQuRHfrrfAwAAAAAAqMwTHn25PKzfBgAAAAAAWA0KEQAAAAAAWB0KEQAAAAAAWB0KEQAAAAAAWB0KEQAAAAAAWB0KEQAAAAAAWJ2ov773CT/+Ly/v9nM/1u/F83OPfO/LjzzuN3e9UO8AAAAAAMAN89f3RhUir/rN33/5kA/5oH5P5oEHHrj++V9/5McuD/X/ROJPv/XHL5/2T97/cnm397gdAAAAAACA0xNdiPzd3/s/Lr/zt39UvxfPP/on/+zy+17fFSgPPr4/AgAAAABwXB764l/db83zwJ/9vn6rDf7lc9//8mX/7K2Xr/nOt/dHxnzGkx68vOCjHnv5zS/64f5IGdGFyN///T92+cBf9isub/z/veXywMMeuuldjN55+fgnfujlCe/3Hpe3v/0W5NGPfvTldf/4B67bH/SYn5kpRB57+dYvfv/Lx/V7hu//jh+4fNh3Pfbylhc+ePmWL/2By+f+SN+QhIn7uMu/n/j7/b3j8qU5fTzh8YX55aKU/wzPfsqvvnzFh9+2r+fi773jtgMAAAAAUZhCZKnIiLFZG1NovPST3+fyzDf+2KQYmWvLJfpfVjdGDzzwLpcf+Km3X/7T2952+c8/89bLD77jpy4/9As/efmFX3jn5aGHOvUvy7s84pf6rTnMYvr7rifC6Lrw/ZEfvXzYn621yB/6++jvuFxe+GmPv/y2viWaovxMMfFBl7/+hH43mdL8Z/rvCqxf+z32XPzw5S0f8/4FeQIAAADAnjAFhik0TMFhCg9LjSLEElWI/NIv/eL1z8c/7pGXBx7xi5ef+sW3Xn7053788t9/9kevxx8Y6o8r7/ZeP3d59/f5mX6vTf7J3/vxy995/IOXP77TxbZ6/l2B9bnf2W93Bc+/v51aAAAAADgJfjFSswgxRBUits5483//ocsP/OR/u/zkL/7E5Wcvb7v8/AO3hB66fU/98kD3Mjz6Pd9+efcHc5N1/699v/2xv+z6FpbRWz72kVcrg/kokT3+0FMe2x/N4dbPtz7lg7pYv+zybHPIfATLxu70rU+6GnZ47yqM7HrfK4+8/PXPc/2Nn/lo1SMvL3xhd6wo3ynyXLjjMm2x/T/y8isf//OXf7vqR88AAAAAYGvcYqRmEWKIKkT6OuPys13h8fBH/cLl4e/2C5d3feTPXx7e6UpXqdgixPCrH/+Blw99zw/u9+boF8X3xXp/eERn875vu31k6FVvu3zox7zPfbH/4lcMHyX6Ox/+uKSPEv22j33c5eN+9O2XV98X24+8fNj/+OEu1n+9vNgs4F/4uMtbXtXH/9Ifv3zYp0gfaTJ25vsivd2rLpfPvxZKpgj5oMsnfM8P9Pl93+Xjv/Otl483edqPV73irbcQmfj5h+fCjqtvi+j/2U95/8uHfcePdfMAAAAAsB33/8m6INgnUYWI5VqAdHr4I42cQqSrQdxPZ33oe33IVcuMvyPy8fePBrl0Nt/WL5q/823dQvoRl19rF9lPsu+UjL/0HmYofP7xx/z85Tl/7Ucv/6RvMf18y3f1X85+Qrd4v7zt8kabz4/86OWvfu8jL7/SL0Sudk4x9SmPuXzo+3aFyBMee/mEx7/t8ldTvuwdfGfFZSb/4Fw441rk9i7O5/8PvqgOAAAA22PXiEsCPdyPY7kf06pBUiFyK0JuBcgjzJ+PuBUiD13/4RBbijx0+flf+IXLz/7sz/X7lTAL90+5XJ5zvQB/4PKlUd9pcAsf886HBm/rc+iV+07H9UvwS7kF8s+aCx9ThLz/5fL1/V8aAAAAAACnwv9OiP+dEW3iCpEHuiXwO3728lve50MuH/leH3b5jY/9lZcnPfrXXH7Doz78evxmcvtolqlJ3vnOd15+qVNVnvCIy4f+6M9fvue6bd6BuB7V4UfecXnL5TGXT7YfFesW+p//4c47JJbe7vZxLIcfeevlW35UOF4Ljbl40vtcXvg/fnzlv5IYAAAAAFog9MX0msVIVCFiaopf86s+8PKcj/m9l+f8zo+9POt3fNzlmb/jD16e8dGfdPnVv+oDLu/+7o++vO/7Pv7y3o9778vDH/HwayHysIcN3xmpwnf+2OVLL4+7/GPzcaRPe8TlLap/y9NbLx9//V5I/1Gp6/dApHcpbnaXj7FfBu90/RL4Oy6f+9fMX4E7HL99/+Wtlzd+b//xKs0vq0fPRbj/3/a+j7hcPvz9h3F0cv9iAAAAAACIw11PSWoR848V+kWIxRYjxkaTqH/Q8Is/+LsvH/mh79fvTXnYwx521S/90i/1H9O68a/f8sOXP/09H3C5PPp9+iNHwPxNVI+5vFHto10AAAAAAOci+l9Wv/ziz10u7+iqI6fIiOKBBy6XRz5ovlzSHzgA5kvhv/vnLx89+qI7AAAAAADEEl+IwPV7Im954eMuH3r9wnitf/kdAAAAAOD4UIgAAAAAAMDqmEIk6a/vBQAAAAAA0IBCBAAAAAAAVodCBAAAAAAAVodCBAAAAAAAVodCBAAAAAAAVodCBAAAAAAAVodCBAAAAAAAVuf674j8sb/8G/vdeR7o/9wLLeYr5rRRolt0m9Lny97l4f0WAByRn/zJt/Zba/JQ/2cO6z813/M9H9tvAQDskQcu7/675WfnQ7/xn6a9I2Ie3yWP8LVpMV8xp40S3aLblP6e8Uu/cBUAAAAAbI0pKNIUKkIsWR/N2mjdnE2L+Yo5bZTo2t2m9mcLEooSAAAAgFKmBUOc4jEFyFIRYij6johdUK65iC2hxVzFnDZKdO1uc/qjIAEAAACw+MVCjOoSU4BY1L6svvYitoQWcxVz2ijRtbvMGSbvkgAAAMDx8IuGJbVFShFiUP9bszZaO2fRYq5iThskukGX2f1RkABAPLm/uNv7hQ8ArWOLhRTtl9QixKBeiFjsQnbtxWwOLeYq5rNBkmt3WdIf75IAAABAHfyCIUbnIPb7IBJJf31vKXs6Ja3lKuazQZJrd1naH38FMEC7bPPX91pS/pfHdr8R+Ot7AWqw3T29Bp/3uc/vt9bhRd/15f1WAt0j+KHf9E/XLUQsezr9reUq5rNBkmt3qdEfRQlAW+yjENn2twCFCMAS296jc6xdEGxFciHSP343K0Rc2r18xrSWp5jPBkmu2aVWXxQkAG2wbSFimStItn/yU4jA+ahz352lKNiCpELEeeQ2UYhYtn/cx9FanmI+GyS5ZpeafVGUAGxHG4WIxS1I2njSU4TA/pneSxQExyO6EPH+v09ThYiljcf/Mq3lKeazQZJrdqnZFwUJwDa0VYy0BYUI1ObzPvez+i3YFXNv5G7Ai747ohARck4uRH6x09se9eDl5x7zHpdffPA9Lg/r/oS2aK1A2iM/8kC1v0wOdsrb3vZTl7e//a2Xn/7pt15+9mfffnngAe40LShEwlCInAcKAmUaW6gfncVCJHA+kgqRn37oocuP/opfdXnoEe92ecdbf/Lyc2/7ieufD73znb1FPfiVn444ZweeyBpD+9cPvEu/BWfmYQ972OUxj3nPy2Mf+57dn+9x+fmff8flB3/w+ylGlKAQCUMhsg2nKApYqIMSuUWIIboQsUXIO37h5y8/8Z/e0h9dH37tp0NBogNFCVh++S//sMvDH/5wihElKERkKEJubFYUsFAHiGK2EFm4j6IKEfNxrB/65b9y8yLEh1//aVCQ6EBBAgaKEV0oRqa0VohMCgIW6gDQESxEIp4RUYXITzzq0Zef/IAPufz37/1X/ZG2YAmQxpkKktrDoig5N7/2137E5Yd/+D9ffu7nfro/ArlQiIxZKkI+74V8nwAA2kAsRCL/R8W9EPmjXSESWrT9t/f9ZZef6hZcP/mD/6E/cuO3f8InXD701/26y1d9yZf0R/T5Fz//C5f/xyPi/jajmEXnP+/iGX5LZMw1MDltkQ8FiR4UJOfkAz/wgy/vfOc7Lz/+4/+tPwK5UIiM+Yt//s/2WwAAbTMpRBLeLTWFyP2vBzJ+Vi7mb8f6ubf+RL835vlf+JeuxcKv+U2/qT8Sj/Hz5RNbhBhC+bvkLPhNoeBKG80iJCU/ca6WJtDhn73jF0bSIjfWXC4Jw8riIx76pbvgPLz1rT95efBBPsevAd+HAADYD3ZdNVlbZSy27u+ISJj/k/xfn/hbLz/0r/7R5G/HMu+I/LU3vLHfu1ze9pM/efk97/v4fm8ZU3ikFBo5SP8n3CzWUxb/vn2q/5qU5Jb6DolZ8H/UI4e+/P1ccuKk5lL7HRID75IcH/O3af3G3/jRl+/5nn/RHwFLzkeH/txf+OJ+69zwbgjAMan5P0R1Scv0K777RbeNjAGOPpoV4oe7QuQH/+X/t98b8AsRy7e/7rWXP/upn9rvhVkqROw7JL6N/87JXLttcxeemoWI3TZ/Gvy49rhB6jPHL7bNIPW5RGxBsrT4N/sWyc62+wWD62fw22Pwc5FYoxixUJQcl4/8yN/RdCGyp+8SUIjcoBCBM7CPRfl+SoctuRYimVNVpRCxfPHzn3d5w0tf2u9NWSooDFKx4h+TbCwh/5QFulncu/buvl34u/vStsHftyzZpcT090tYKkj8xf7c4t9ts4WGux8bJ4ZUfwoSKCGlEOELxsucvRihCDkfLMhh73zFd/XviGTQ9DsihlAhMVeImH2XkH/sAtQs7l1iF/6xRYJk52Pb5/ozLLVLzPVnCBUktqCw+Iv/UPtSoVBSiJT4rlmQGChKtuOjfstH9lvlPOEJH3L5tb/6l/V7oMGZi5EzFyIsyAH2R0kRYoguRLb6johkIxUedn+uzeIfW1qAzi3uU9pCtrF2hrk2w1J7Cf48/bOur9Ci3y8I3P1ahUhJEeJCQbIumkXB2ph/P+T93u+DKUSUOWsh4hYh7S93WZADnIrALX//fkgmo781K8Qvve2nLo987Hv2ezJP/a0flVSEtISZW6sWMcVFiLk2bcQ5amTitIoQw9rDaelv3DJFwdraM494xKO6n+affAVNzvquwEPOa3i4tioAWES6dfaqiiy+I/Ijlf4dEendCp+YdzSkfZclfwn3/4qXvkNhSYkx57cUM6ZPDUw/H+XG995KMMWBS+w7IgbXN6bA8Psy7PHdEcsjP+q39FvQMo95zOMuj3vv97p88Ae9f3+kLpV/FxSim92f/wt/ud86B3/hz/+/+i2AA9D2wwoU0XhHZLEQ+YlHPXj5qQ/44Gb/ZfXa1F6MSoXInpjMz1ar94qsPSQKkX3wuPf5gMsT3u89L+/7+Pfuj/DbV5OzFCMUIQeCRwCcjFU+mvWYn3375fLzP3d5r1/xYf2Rc2GeK9rPFlN8WO25CDFM5qfGhG3M2kN6xz/75/0WtMpjH/v4a4H6Xu/5YPfzgBd9A5xhgX6YMdpb4OwCgHj6e2axEHnXTo//T//u8oiHP+K0xYhB8zljig+rozCZH80Ja4SDDQcyMUXIIx7xyMuv+BWPvzz84ce5h2ED7HNy7wIASMF5biwWIoZHP/DAvRh5vw//TZf3/MAPubzbe7z35YGHRbkfCp6980zm5mCTdbDhQATmb8d65CPf/fadkPf5gHsR8pgHzbshJ8beDBX1F/7ccd8VOfLYAACCmOe7w+J3RFzM3w/ztkc9+vKOx7zn5RcefI/LuzzmPW4NAAEO+JWRVXjXD/iAfgta4KHu6fduj3z45cEHH3l5r/d4DO+ErMyf/4vH+r4IRQgAHIHk74h4RchDHxnxZfWt2OMCtuWct85t0v+KCa3RlXYfj/28F/ZbDeE9QADW5CjFCEUIAGix9a/lF8cWIoFETSHS7GerTM5We6HlnLfOa9L/igmt0ZV6fJt0SwLYkCMs4ClCAOKRfg2hsXSRegirtAix7OJLHnbYe6LVnLfOa9L/ignV7mbFoQCckj0v5ClCwMX+vkBhtYWU4dFUgYiwu/q2eeXpqkKr+W6d16T/lRJao5uVhgJwSva4oD9TEWKff2hebSBlhmRBMpHTttu/9mpvl4bNt7Wct85p0v9KCa3RzUpDATgde1nYf0GXp5F9FpxB2yNlhWQBVCLh8tr937+7x1uqxXy3zmnS/0oJrdHNCsMAKMbeC3uRXeS3im5u0gwgWQBwRbo9NBVirk1g94WIy9LctEaL+dqctspr0v9KydTuZqVhQAA7/yis9ZGySNcX/Lk/0/3ZDiafW05yvnkCgAnSrYIGbUFGv9dCZOu8tdnbeFrNd+ucRv2vlEztbrTj23hoXush9Y5k6TEs/rejhRxgZ0i3BYoXtEPBObn+OyJ/5C9/RL9rGP5FhBX/qYdV2NN4Wsx165xG/a+UTO1uQvEf8ydb+ndEeOLD/viCv/gl/VZdTl988HgAOCUv/p6vuG0UPAMC/46ILWseum8dhT2Np8Vct85p1P9KydTuJhzftrQggP1R+x2KL/j/dPE7ibfMmQQA5yXzGeA+PoR3RCSG/2+70v+IXo09jae1XLfOZ9T/CsmsNV7Tz2P+5OfcdgCWYDGYxBd8Yd47JdeiAwAAbu+GFBQhdz7yn8YWIi7Dcmythdka7GksreW6dT6j/ldIZo3xPvZshQiLaQAAgF3w4u/uP5aVyORXvfzRrCVMmJuGrf2zp7G0lufW+Yz6XyGZFbq4vPX/+BtDR2cQAAAANE/ur+yQX+Ff3zusJIat/bOXcbQ251vnM+p7hURW6AIAAADgjl17bKUc5vwU/x2RIc2SZFtiGFH7tJbnlvmM+l4hkRW6AAAA2BX2dyPSVTlS1FTFEWOtWIi43Lq2CSwlsQf2Mo7W8twyn1HfKySyQhcAAJCJfUajdbRvpBEdReuw2FNvUKkQsQwDH7b2zV7G0VqeW+Yy6nuFRFboAgAOgn1eoPraJ9JIUH1BCYsz6BhULkRchhM8bO2bvYyhpTy3zGXU9wqJbDVOgBLsrYHW0T6QMkfrCKAS0uUWqxlmmwX/FQsRF5vJMYqSvYyhpRy3zGXUd+VEKoc/DXYeUX21jZQxqi8AmCDdKnuSMothA40bFSIuNvVjfMl9GE27tJTjlrmM+q2cRE5464NaQ8oQrSOAkyLdDmhbnZSXfM+L+62BxemYMWigEHG5nd3ba//neQ9jaCnHrXIZ9Vs5CRtepws3GlpPACdAuvTRdgJolMXLc8GgsULE5Xb32XtwcaANs4cxtJTfVrmM+l0hCdtFuBvXQhLAQZAub7StAAAWmH1URD5LGi5ELHYkxypKWqWlOd4qj1G/KyVhu1mhK3AnG7UhAADYDYuP7oTn+g4KERc79P0XJXvIv5X8tspj1O+KSdy7shtIVwAAAJDF4q/RxN+zOytEXIaVhd3aK63n30p+W+Ux6nerJAAAAABaJXN9tONCxOU2+ttrv+tEm3ur+beS31Z5jPrcIgEAAAA4HXbJ0YJEgg3LHKQQcblN1eKkNU7rubeS3xZ5jPrcIgEAAIBGsL8GUT01TWGC10JkFwNNxo5q30VJ67m3ktsWeYz63CIBAICdYB+R6HiCVpDOTg05eLs5jN4RCXRzAIaR7XmMLefeSm5b5DDqc4sEAA6AvXXQMQWwDtLVdxbV5yXf85LbhmKXwY9mrTu0NRlGtucxtpx3C7ltkcOoT4UE3vqlX9ZvgcFOKTqmAPSQrjB0DkEx0rRaGeyfSkR9R8TP4TgMI9vr+IYRtEcLeW2Rw6hPu5OZhOt+dgGkIV1F6BwC2BHSJbyl5lhqzyD5y+qxue6P26hur32Or9W8bV5b5rZFDpP+3CRGDVAPf9LReQRwIqRbAO1DJye5EHE57jzeRrXX8bWcdwt5rZ2D7W/Sr3jQxzVC6QI4CNLljZAVwE4pKkRcjnk/DKPa6/hazbmFvLbKwfY76ts9OGqAU+Cff4R8AQAcELVCxOWYz85hVHscX6s5t5DXlv274x/l4DegYwsAAOBM9L/7qhQiLsf8fTuMaI/jajXnrfNqYV5sDlvnAQAAAFAFZ5FTvRDxOd5C6zaa22tf47L5tpbz1jm1MietnRcAAAA4F3ZNpLImEQKtXoi4qA6uCW6joSjRYeucWpsPAAAAOCbumqclWV5q/zHDXNxgDpsWIi7SoPfNbTR7HFeL+W6Zk+27tTkBAABYwv0dhtrVYVkYYDOFiMuxTswwmr2Nq8V8t86ptfkAgPVxn0MItS6AzYi4AJssRFyOdTMNo9nbmFrMd8ucWpyPvWPnFKHWBQBQB+mJ04oSiXRpvhBxKZiOBrmN5Pbaz5hsri3lu2U+tfu28c8gAABYC+kpjLZXo6SkljiUXRUiLnacKXPTLreR7LUoaQWbzxY5bdk3AKTg3q0InVXQFNIpakmxpNj27LYQccmZq3a5jWRPY2ox1y3zcedjqxzC+NkhdDYBHAzpMkf70t4pGMchChEX97xmzkkjDKPY03hay7OFfGwOebn43qUCaAjpEkUIpQlgSwqvwcMVIj7HuFeHUexlLEPGbdBSPm4uS/m87Uv/1tQBoaMIAAD2idJz/PCFiMsxfv/dRnB77WMsNs9Wcm1t3tz5aSkvAAAAgJd+70v7rR7FxcqpChGXYyz8biPYY1HSAq3Omc2rxdwAAADgpFRYnFwLEXfhoxx/Fxxj7LcR7KUosTm2kGdLufi0mBMAAAAcB3cdJOnKfUMX8R2RSecn4hhjv41gL2NpKcc9zBcAAAC0j11TtK5FoozyWPxoVnKyB2L/4x5GsIdxDNluzx7mCwDgiLi/CxDas2CZ5O+InHWC9z/uW/Z7++jW1tg8Wp+vEG7+CCG0BwHA0Rnu9qIvq7sPjlu4c7D/cd8y30NRYvNrIcet8nDnIFUAAABwdqQVQoo0GccrKkR8aqXcOvse9y3zPRUlW9P6PAEAAEBN7EpgL2oBORfVQsTFHf602+Oy7zHfMm+9KLG5bZ2fm0cL+QCcE+lORAihmlJACtuqivGCOHGrFSI+tk8vlUOz7zHfMm99DK3l5+ajl5MfFSE0CGAlpMsPoVydAm+wwthXK0RcbB5CPodlv+MdMm89/xbzszm5SkYKghBCaF0BnJCXfe/L+q0UhJsmcA9tUoj42HQDOR6O/Y73ljUf3SrDza/VHAEAAADS8VY2C4udJgoRF5vvQt6HYb9jvWW9l6KkZWyOrgAAAAD2g7CCiVjQNFeI+NhhRYxl9+x3rLesWy5KbF4t5iaxt3wBAADgjAirlYQFTPOFiIsdV8L4dst+x3nLuuX8W80LAAAAoBR3DVaqeTyLOKcRuypEfOx4E8e8O9xx7mesQ8at5j1k2DZv/bK/3W8BAABAbdz1wR5VH6GnzI53XYi42CkRpuZw7G+ct2z38NGtVrH5IYQQQqiuYA5vhgon7TCFiI+dl4K52QX7G+ct21aLEptTa3kBAAAAbIe3OlJaLB22EHGxc6U0Z82yvzHesm29KAEAAAA4J8JqSHFxdIpCxMdOqeI8Nsf+xnjLtsWixObTWl4AAACwV/zVRXv6yu99afeng21S5JSFiMt4yo/J/sZ3y7bVnG1eruoj9YoQQgihZvXQnGSXpmTx9xU5fSHiI83/kdjX+G6ZtvguiY/Nz5caUnCEEEIItasjUHkc10LkaHOmhTsvR5ybfY3tlukeihIXm6srAAAAgOZZYdEyeUeERVOYI8+LO7b2x3fLcm9FicXm7AoAAADgbCx+NIsFk8zR52U/Y7tludeixGJzdwUAAABwZJK/I8JiSebIc7Kfsd2y3Eeuy9hxHGEsAAAAAAZ3bVP8ZXV3sWSDnp0jz8k+xnXLcO/vkgAAAMDxsWuV1qSNFLe4EPFxB+B3dlaOOh/7GNctw70XJTZ3hBBCaG/SQop9BB0dcZz9AfVCxMd2LiZxQo46H/sY0y3DvRclAAAAe8L+zi0VrMfLv/dl/VY+4nnzDlYvRHxs/14ep+WIc7GPMd0ypCgBAAAA0GWyrgostlYvRHxsXoH8TsUR52If47llSFECAAAAkM9kHbWwsNq8EPGx+S7kfQqONg/7GM8tQzfXFvJ929/88n4LAAAAwOKvWAr1UK9EbIQ7kwMyzRUiPnYckeM5LEebh/bHM85w/Bq3roZ9OCCEyjS5i9ExBOAiXSMFkp4lTUhON1uJTNwS4zRfiPjY8SWO83AcbQ72NR432wYKFABIw79Z0UHU/UDoLukaKRCMmExL5jztrhDxsePOHP8hONoc7HcsbuYUKAAAAHAsJmuZwsXN7gsRHzsfhfOya440/mOMxR2FW6CY17gVAAAAoDUm6xSlhcvhChEfO09K87U7jjT+o4xjjDsqChQAAABoh8k6RHlhcvhCxMfOn/I87oajjP0o4wjjjlAuTvYsAAAAaAP/d/TL/+1X3rdHTA6Uc7pCxMdOtDjhB+coYz/CGM6Ge84QQvsTwBGRrvUzyGdyLGSowOkLER871xXnvFmOMO4jjAEAoHXcZy1CRxF4rDAxFCILuBdo5XPRFEcY9xHGAAAAALAqKy6cKEQScRe2K52jJjjCmI8wBgAAAICjcC1EWJzl4y5uzzKHRxjz3vMHAAAA2Dujd0TcxRmLtDzOOH97H7Off7NjEP/lWIR8mWtlAwEAQFtIz+qguh9WK7L40ax7fo4gnjPO3RHG645BEkC7SFfsCnJ/iSFUTfLlt4qgfaTzNqvux5ElDzqgbcj6jkgbqe+Ts83dUcfrj8sXAADUQHririRpoYfaknTeZgVbo/JldU5tPmebt7OM1R2nJAAAAIDWePm/fXm/tQ4qhYgEi688zjRnZxqrjz92XxJv+9sv6rcAAAAAdoqz2KlWiEi4C62+f1jgTHN2lnHG4M4FOqYAAABOhfALcNVCxMf9pSzkBgJnma+zjBPOi3+NI6QlAGgb6b5tRVWYCb5pISLhTsZM3tBzlrk6wxgBADRwn5cIaSoGyQ+NdQoiB9xcISLhjmVhPKfnDHN1hjECAAC0hv/7VxKcnMQLYReFiI97wSeO93ScYZ6OPj4AAACApslciO2yEJFwF6OZc3EKjj5HRx/fZIBbCQAAAM6NwrrgMIWIhDs/BXN0aI4+R0ce26a4E4vOIwAAAMXfCYcuRHzc36eKc3gojjw//tj2OT5pFGi/2hnSENA5BAC6SPdZCwoRY5PBqQoRCXdelef2EBx9fvzxzQlAH+lKQ8fTAZCGhY6vEJItSlODfNWbhX9VvXK+py9EfNxrpPLc75Izz40/9jkBAAxITwl0LB0UaahGTSEliPLkIByqAYVIBO4pWum87AbmRcafl5BSkWK0JgCA8yE9DdE6AjU2mFYKkUzcc7Xi+Woe5iUNf77mtBek3NE+BAAAsCYUIkrwS12GOdGD+YPa+Pcr2ocAAFJp5VlCIVKRVk5ySzAfAAC6+M9VtB+BjDRXSFetcC1EWkvqyLgXAXPOfAAAwHnxfweim+A8jN4R4WJYH+Z8DHMBAAAAcA4WP5rlLwytoB7M9wDzMOZtX/4V00k5qwAAAGDXZH9HhHXBujDXN5gHuONfDGhdAQDAYfjqf/tV/da6qH5ZXfpdZQT6MM83zjkH/qhRuSAZaRrRugIA2DmqhUgI6flpBLowx4wfcvGvHFRXoII0tWg9QVtI5wjFa02cPlcpREK443dyAkXOPr/++Je0B/aYM8AY/ypG9QXqSNOMthO0TeBcbVqISLh5ugIdmNt5pPlJ1dpIOSAdARwH6QpH9QT6SPOM9FSBiPDNFSIh3LEsjAkSYV518eczVdAO0vlBOgI4NtJVj8oEuyDxlO2mEJFwx+oKymBOt0Waf1cAR0C6tpGOAABWpeABtOtCJIQ7H5nzAh7MKQDAPpCe10hHsB+k84fCSqbIeeCQhYiEO1+uIB/mEgAAzoT/ew+1K6hAhQm+FSJuYFcn4KTDrgJzuRLSRMcIAAAAwONr3vzV/ZZA5XXE/DsibueuDo40ZCNIh3lsCOlkoGUBAACciRV/B+Z9NMtN0NeBOdlwq8Ecwq7wL1gUJwAA2A8bPb/1vyPiDsTVQZGGagTxMH+pSDOGBkETSKcGLQsAYG02fPas92V1/2FrdVBONNQqMH+Qj3T1IFnQHNJpQvMCOCLStV5LG7JeIRJCmhCjAyIN0wjiYN5u+PNwRMFaSLOPpoKmkU4ZQnvXSdi+EAkhnRSrgyEN0QjmOeucvf0rXtJvHRfp3KJBsDbSWUCyAADiabcQmUN69hkdjBMMUR1pztYQwJpI1yAaBFsinREk66hIY0Vtazuuhci2KSjiz6vVgZCGZwTbIp2TmgKAMNI9gwZBK0hn5wgCiOf+joh0KVntHmlQRgfi4MMDAAAlpN8XaBCAhHStHEFf8+av6X5uR9RHs6TErXaNNCCjgyANzQgAAABkpN+bCEEdir8jIp0sq90iDcbqABx0WOdCOol7EgAAAJyeql9Wl9YfVrtFGozRzpGGZARQBeliO5sAAABOTtVCZA7p97LVLpEGYrRzDjikg8BZ2T3+KTyjAADgfDi/AzYrROZwf0/52h3SIIx2jDQcI9gS6YycRbBbpNN5RgEAHJmZZ16Thcgc/lisdoc0CKMdc7DhNI0011tpe6SsziI4BNKpPZsA4DjM3N/+4d0VIiHcgfnaFdIArHaINAwjOA7S+T2D2kDK7AyCwyGd5rNJEyk+QpI0mIk503TlMIXIHP4kuNoV0gCMdog0DCOAvSBdv0dXO0jZnUVwWKTTnSuAWixcbzNNIqcoRObwJ8zVbpCSN9ohBxkGwCGR7s8zqC2kDM8iANDka78v4h8znLkN/SavOYrTFyJzSBNstQukxI12hjQEIwCANZCeP0dXm0iZIoTyJTBjMtOUDYVIJv7JcNU8UtJWO0JK/ywCAKiJ9Nw5ugBaQrpGtXVFPHhjpkkNCpEK+CfOVfNISRtBW0jnqEQAACdHejQitJVWwenI799pqgqFyMpIJ9qoeaSkjWAT3vaSl/ZbSkjn9mgCAACAOy38iqQQaQT3YvDVNFLCRgCtIV2nRxIAAMDOoBDZAdKaw6pZpGSNQBFpgpcEh0U63UcSAAAcDgqRnSP9vrZqEilRK0hCmsJlxb0kz7YFh0c67UcTAMDJoBA5MNLvOasmkRI1ag0pxy1UEam7trX8krzaF5wK6RI4kgAAPChETor0O8KqOaQktxTsEulUtq/ll+TVvuCUSJfCkQTLSPOGtlMDXAuRRnKBRvCvU1cA0BbSfdq+5l+Sxz4Ep0a6JNBY0Axf+31f229ty/0dEel68QUgXRdWAAAaSM+XfWj+JXnsQwAA2tyeLUkfzfIfTZLgvEjXgxEAAMjPx31o/iV57EcAUBfpvjO6of4dEakrX3AupGvA6shI49UUAEALSM+n/Uh+SZYIHUvaSH0YzbPJl9WlNH3BOZDOvZUmUvzaqo7Uaa4AAOCO9JhE6EjKR4pmlMcmhUgM0hB9wbGRznmuYAFp0vYmAAAAUEL6RWukRB+q2UIkBn9qJAHASZAeAHsUAADAaki/iIyUkEIb9ey6EIlBGrsvgD3ifp459zW9G1zBJkinYm8CAIDGUXxgu89/XwscvhCJQZo3XwBHRLrWB7X9kjIeBJsinZK9CQAABqTnpFUBFCKRSPPuCwDWQ7oHB7X/krIeBJsjnZa9CQBA4BVz/5ih9CwxqgSFiCLSefMFoMXbX/KV/RbsEen5MKjtl5TxIGgG6fTsUQCgi3SfWa0MhcjKSOfcFwBAy0jPrUHtv6SsB0FzSKcJIZSvhqAQaRDpmvEFAAB5SM/UQW2/pIzHAgDYDxQiO0X69eMLAACOhfSsH6vtl5TxIAA4GxQiB0Z6zPuC9pDOU0jiQSMAgAaRHleD2n9JWSO0vfYLhcjJkS5nX5CGNIcpUkEK3LIAAHaA9PhCaHulvVqCQgQWmV7wUx0NaYyxggykiWxZAAAAUAyFCKggrdV8rY2UQ6z2gpR7jKAQaVJbFgAAQINQiMBqSOsjXz6STazOgTTyZem/pF7KBUpIk9uyAACgCl/3fa/ot9qAQgSagvXIXvHPnI7qvKSeygWKSBPcsgAAIItrIcKzFADOg7uC1JP+S+pFR6CMNMktCwCgEUbviEjPqyUBAEANpCeujvRfUi86ggpIE92yAOCwFH80S3pmLAkAAI6E9KTXke5L6kFHUBFpwhFqWRDNJt8Rkc7ZkgAAAMqQfrvoSP8l9aIjAKiMdOO1osbYzZfVpblcEgAAwD6RfqvpSPcl9aAnADg2uylEcpAeaksCaA3pOrUSD7YgADgJ0gNAT7ovqQd0dsG2HLoQyUG6SGMEkIp0HUma420ve3m/1RjSQFoSAJwQ6WGAzq6zvVZlOt1jdVCIKCHN75LgeEjnOSTYEOmEtCIAAIAKfP2/+7p+awbp91KuIqAQ2RDpnC0JtkE6F5K2wP0/HePXND8NQWWkSW9JAACwT6Rnuq+VoRDZGdI1syQII82XpH0ijaRcOi8pcrlgBaSJb0kAALAbKEROgPS7ekl7RxqTJNgK6WyUq/wlRS0XrIh0AloSAADcoRABEen355JqI/UZEkAe0tVULp2XFLlcsDLSSWhJAAArQiECaki/05ZkkI5LAjg30l1RrvKXFFVHsAHSiWhJAHAoKERgU/i9ArB3/JWinspfUtRywYZIJwShHEETUIgAAMBBkVYf5Sp/SVF1BACRSDfQ0dUgFCIAe0d62NQWwI740r/xoqvaQbqpdFT+kqLqCADAh0IEYCdIv9iNNkFKZGsBCLgFSFvFSKtIN5eOyl5SxPMIoJSof8xwAyhEABpB+uXjChaQJm1LweZQeBwJ6SY7j3jNvaQZQ75ahUIEYEWkh4NVLlKsNQQLSJO2pU7ICz/nudc/X/aSL7v+CQBHRHrgoanahEIEQBHp1ndVB6knDc0jeWwliECauK21AqYIecazXnDdtoUJAAC0wbUQkX4/GAHAGOk+cXUspBFupXkkj60ECUgTqKjf8Os//PJd3/W9lxe+4LlXSTYjAQDAqsy+IyI9p7UE0CLSteoKtkI6G1tpHsljS52V3/AbbkVIEtIEbi0AgAOz2UezpOetpgAkpGvFFcAy0pWzpeaRPLYSZCBN5JYCAFDksN8RkZ6fmoJ2kc6X1RF5+1d+db8F50S60rfSPJJHDZl3Q/7Nd32v2OYKMpAmslUBQPPwZfVMpGeepiCMNF+uAGArpDtyXT3xWoR8T7e9jBxhG0EFpIlGyBVsDoVIo0j3i5ZaR8rZFQhIE6UpgN0hXchbaRnJa0sBnALp4j+DGoJC5IRI16SmlpB8XEGDSCdqCwHM8MTf8Oui3w1ZF+li3kpxSJ5bCQDKeOW/+/p+q0e60bQVCYUIqCNdj64gH2k+jU6DNPi1BU3SbhHSGtJFvZXikDzR8QQHQzrJvjooRAAaRLpfjUJItmvqVEgTsIXgDkXIXpEubLSe2kLKEOmoZShEADZEemAYpVMeoQS/9y10OqRJWFsAsGOkmxodS+1DIQJQGenRYFUPqbe1tS5SBmvqlEgTsbJ4NwQAIIR9WLYLhQiAEs7aaKTzIs3GmloXKYO1dTae+MSuCPk3XREiTcbaAgBoFOmRtaS1oBABSES6YY2gNaSztKbWR8piba3FvQhpBWkythAAgALS4yVGqVCIAASQbjAjgDikq2dtrY+URQ0ZpONGp0aakLUFAKdFeiSEZKAQgVMj3RhWAPtHurLXVB2e9MRfd/nOmXdDpEzW1qmRJgTJAjg5FCJwCqTnv9FhkAanJYBspAuqTLci5LvFtqm2Q8pmTcFOkE4eakMH4ZX/7pX9VptQiMChkJ4lRlCANKFrCaAI6aJaW9sgZbK2AHaNdFHvUY1DIQK7RLrXjM6KNBdGu0ca1FqC5njSE399/27InpAurjW1HVI2KF4AZ4BCBJpFejBbnZmU+ZBs19LukQa1lmDCPouQFpAusDUFuUizidYV1IdCBDZHuvmNzo40J0YSb/+qr+m32kHKfQ0dAmlga6lBKEL2jHSRoTzB2khnYW9qnWshIiW+N0H7SOfNCLTmRYpSqv0hjWItHQJpYGsJAGaQbhpUV1Cbw7wjIl0+qC3BjX3NjZTtGton0kjW0GEQBnd9N+Q7v1tsUxUAwATpYbE3tQ0fzQKoyP4eCa0gzdwa2ifSSNZSTZ70pL4IWQNpcGsJAOCkUIgAKMH64ghIZ3EN7RdpNBoyRci/7ooQqc3oUEgDXEsAcGyk+96oEShEABKR7mcjgHykK2oN7RdpNGvpUEgDbFUAkMQ3/Ltv6LcEpHvM1UpQiADMsOG9mY6UrIbgwEgnfA3N8xH9uyGtIo1oDZ0eaVJQngCWkK4bK0UeeMIXvvmhj/vij+h3Ac6L8r21Og8+9dP7rQPwQP/nCfjbL3pZvwWGl7zoSy/Peu4L+708nv/cZ/RbPie6sJRh5gACNHxzzL4jUpPIOXmX/+c/pxCBc7L3okPi0RmFyNKz4m9/BYtkWBeNQsQQLka2gGX83uCMwRH4hn+/USEyh3NzmUKEj2bBoXHfSXQFN6S5saIIgbXRKkIM5p2mdt5tku6wNQS5SLOJ4gQwi3exUIjAYXCvbecaPzRnGiscG80ixKWtgmRt3CfEVoKzIV0FKF5ng0IEdslZb975MfutIS3z5bwbAitSqwhx4bs4WyE9g5AsAPnKyNUeoBCB5tnrzVVKvXFLkQdRhMBROfe7I9A+8jMZhQRHgEIEmkF6zBidhbOOG87NGu+G+FyLEf+G0xAArIh0E6Kx2odCBDZhn7eLHq2O/8u/4iv7LYD6bFGEWMxfxqD+FzJIN3ZtAQAIvOrfv6rfahsKEagOvzv3MX6KEFiTLYsQF1uQ+Pdoq/fpBCnx2gIAUIJCBFThd9ZWc/DQ5e1f/bXTjlMEcGKk70ZJt0lN7QYp+bMLALKgEIEr0nM1R2dkmznQ7fXLX8y7IbAerbwb4mOKkS3/sgb/rl5DoIQ0uWcXQAQUIisj3astCOLYbu7ievWtYgWwFq0WIS5n+pvjpOfBngUNIZ0gBB6HLUSkc9+CYF9sc/78Xuv2/CLeDQGYMLw7It2PJYKaSDN+VkGjSCerhnZCcSEijb0FAaSy3XW0Ta8GihCozTt/6Z1XGfbwboiP/l/i4N/vNQVnRroizipol2shIp20WAHsle2uZb2ep5HK4gFoYgsQg9neWxFiMcXIPv9WOf8J0boA6iBdbUfX9ECb8B0ROAX+/bjuPanXc1wk30oW74ZATdwixCId2xP7LUj2gvysOo8AKtLo5UYhAodk2/tNr3e9SADb8OV/66/1W8eBYgTq4D/xzybQ4tUx/5hhI9P/wBO+8M0P/YEv/oh+F2CfbPsI0+u9NNKDn/GUfmueF7345f0WgA5/62/87/3WmM/6nD/Vbx2T5z376f2WAg/0fwLAydC9+aMKkRgqP5Pe5Xf+cwoR2B/bFh2GdgoPnwc/vStEFh4cFCFQwlkLjjlUi5E1ofABOCSv/vev7reUUX5mUIjALti28NDtvfZYroXIAi96CYXIGXnnO9O/n/Hlf3P6sarnffbn9Vtgef5zn9lvxUMNUBkmGE5MtULEp/A+oxCB5ti26DDsq/DwebRXiPjPiJaLkJyFMuggFRwGio44cgqRNWFNfnA4weCxWiEikXA9UojA5lB46OIXIj5n+hejQYZ3OfRpvRA5Aqy14Q4XwyKbFiI+M+eLQgRWZfuiw3CswsOHQgQsvMuxHhQioAVrbJiQcVE0VYj4OOOhEIGqUHisD4XI+aDg2J7nP/cZ/VYOLD3hfHDV1+XVb2m4EHF4l99FIQJKtLNA18+k9eLDYvJc+rI6hci+4WNVbVJWiKwFSz+AtdnqrqMQgcND4bE9oTwf/PQn91tT+IfY9gHvcuyLfRQiR4TiCkDiNRQicATaXJCft/AwxORKIbIfKDiOAYUI6EORBXm85i3mHzPcx/VDIXJw9rTAlqkzgqMVHj4UIm3Cx6qOy/OfE1GIsK4E6OFmqMmtEPFpc84pRBpn/4VEKhQehtJ8H3xKoBDpnkMUIvXhXY7zEVWIrAVrPICN2fYmlAsRl3YeEhQilTlfIZEKhYdBO99gIdLx5S+mENGEdznA8LzIQoQaYQEmCKCYtO+HbHvTUYgsQCGhDYWHpWbOj54pRF5EIZIF73LAHLGFyBqwlm8MTgisTNkX1de9YA9fiFBIbA2Fh2XNnClE8qHggBxaKkSOAGv3xuEENc1r3H/MsOhc1T/RzRciFBJ7g8LDZau8KUTi4GNVoAWFCIRgzb4DDnaSRoWIS4NFSfVChELi6FB4uLSSN4XIGN7lgNpQiMBZoLBqn6iPZjVSlCwWIhQSMIbCw6fF3M9aiFBwwFY87zlP77e0YLkHUJuj3mXJ3xEpnoj8APdC5PfzZXUYUXd5TeGhj5vXg0/5tH5ryote/PJ+a9/wsSpoCf1CpFUokABaxdydxf+i+spFCYXIadh2+bznwsOwh+LD5UiFCO9ywB44TyGydyik4Ni8trQQcVmhKKEQ2S3tL+33XHy0nHswN6fhwU8PFyKGVosR3uWAvfK8Z/eFCOtcqA4XGYRRLURcVC67aRAKkWbY87L9xt5HsPfiw2XuHRHDi16ybSHCuxxwNO6FSG1Yg8Ih4EKuRbVCxEWxKKEQqcb+C4slKDzqklp8uDy6L0RCz4q1ChEKDjgLz10oRE697GLNCYekzQvbfEdk1cwKO3uX3/UvKETiOH5hscQRZqDlMczmlpi4LURCfEWFQoSPVcGZWSpEtoD1vwJMIuyM17zlNf3WjdaLkhMXIhQWS1B41Eez+PCZK0ZKChHe5QCY0mIhsldY+yvBRJ4SvxCxrH45RHZ4kEKEoiKVI8/YmYsPl9JChIIDIB4KEWDdrwiTmU2oEHFpqShptBChsMjljDO3hzGvVXy4pBQifKwKoAwKEdgrrPmV2XhCYwoRl03SdTpdqRChsCiFGRxD8bGMVIg86Ym/vt8aQ9EBUMZzn/20fsvC8g6gJtxhU17z/WlFiMtW8/kuH5NViLAs1oBZjGcvc7V18WGw3fz2v/rF/dbAd/6b77r++RUv+arrnwCgw7QQWRuWZQB7oOadWlKIuKz5NHEKkSf1h6AUCgwd9jCPizmuMIiPFgoOgy06JChEAHTZvhDZExRNADV4rVIhYlnjTqUQSYACoy57md/ZPCsOIlRw/KPP/7P91pgHn/Kp/dYUChEAXShEjgyFE+yD15rvh1S6XGvdBacvRCgutoXiQ0YqOv5xX3DEdvfgk2cKkZdSiABo8txnVSpEWANDMlw0Z+VaiFgqXgaaoQ9biFBgtMmezssaxUfoXQ5bdFhyunv0TCHyYgoRAFWes1CInGJpyPoXsuDC0WJUiLhUmmKNsLsrRCgw9gfFR3zB4VI6bxQiAOuxVIi0xOmXfax7IZu2L55gIWKpmH5u6CYKEYqLY7G386ldfMx9rGoJzbmjEAFYjz0VInuBgqn/EyCS177ltf3WApWvrZTwVQsRCozzcMbiI+ddDolac0chArAeFCLnhXqhg0loguhCxKXiuYsJnVWIUGDAoQoPw4JBybscEmvMH4UIwHpQiEDLUCf0HHgisooQl8pzEwp/L0Q+9mBfVgd9zlB8aL3LEWLNOaQQAVgPChGAciiYejImorgQsaxckFCIQJC9FR6G2OKjdsHhstU8UogArMdznvWZ/VYKLLsA9kiLd+5rv1+pEHFZoSihEIERRyw+Pvqv6H6sKoYt59H2/eCT/0S/NeXFL/3qfgsANMgrRFqHQglgL7yuRiFiqfgoeFcKkXOzx8LDIOUtFRyG2kWHpYXiw+fBTxOKke6BQiECoMsxC5HWoVACsFQtRCwVbjkKkZOw14LDxY5h64LDpcXiw+XRXiFinyEvfhmFCIAmz3lmxUKE9fYO4aTBuqxSiLgoXeIUIgfhCIWGjxmT+LGqP90XHBsNeuu5TunfL0RcXkIxAqDGsxMLkcMsU1lv7xRO3NFYvRCxFF5KFCI74YiFhstvC73LYYsOC8VHEhQiAOuQWoi0CgUSbA8nL4fNChFL5mmjEGmIoxcbFqnomBQcLhQf2VCIAKzDUQqRVjnU0pR19s5p8wRuXoi4JEwRhciKnKXQsITe5fgnXdGxOBcbTtYRChALhQjAOlCInBeKJNia133/6/qtxoi4nihEFDlboWGZKzhcKD7C1OqfQgRgHShEoDUokM5Ds4WIZeb8UYgkctZiwyIVHX7B4ULxEWaN/ilEAOpDEQIQz+FqigYG9Lq39IXIHibXy5FCxOPshYYl9l0On6j5O3HxYVgzBwoRgPpQiADsnz0XSJN3RHZUkJyuEKHQGJNbcLhQfCyzdg62vwc/7VP6rSkvednX9FsAUMKzn/nUfiuHPS9/AKA2MU+I4EezdvB4edfffcBCpIWFZ4ukfqxqjsU53vgktHINrJ2H39+DnzpTiHwlhQiABmWFSGtQGAHsjdcvfUek4dt6l4VIK4vMVtF4l0Nicd43PjGtXBdr5zHX36NnCpGXUogAqPDsZ6xYiJyuTqAwAlhisRCxNHg7NVmItLKg3AOa73JILJ6LjU9WK9fKFnnE9EkhAlCfZ1UuRJpdip+yRqAwgvaILkQMjV3CmxUirSwg90KtdzkkFs/NxievpWtn7VxS+6MQAahP7UKkJZpehlMYwUlJKkQsjVw61QqRlhaLe2LNgsNl8Xw1cEJbuaa2yCO3TwoRgPqcqRBpjWaX4aetDyiMtiCrELFsfMqyC5FWFoV7pvbHquaIOn8NnORWrrOt8ijtl0IEoD4UImBoeglOYXRYiooQl42marYQaWURuHe2epfDJ+p8NnDSW7rutshFs08KEYD6UIhAazS//KYwUkOtELGsfG7uhcjva+jL6nullYLDEr2gpfgYsVUutfoNFSMUIgA6UIgAhKEoqsvrv//1/ZYyK80LhUgmW36syiV78UrxMeJoxYcLhQhAXShEAPbBLmqOxCSrFSKWypNGIbLArj5WtQTFx4QjFyAG08+Df+KP33Ys/UPlpV/5tbcNACjiWc/4jH7LZRdLHgDYEI2nxOv/Q+VCxFLpkUYh0nOogsPQ0Iq/oVSubJXPWv36/TzaL0R6XvZyChEADeRCpAUohgCOzhvWKkQsyo+VUxYiLXysSnVR2tpKv6O1lLbMZ62+Q/1QiADU5ZlPHwqR1Zf+zdcaFEMANVm9EDEo3taHLkRaeJdDdRHa2upeoLUUt8pnzX6X+qIQAaiLW4hszSbL/l3UGhREcEw2KUQsCrfVYQqRrd/lUF14traaX6C1dLfMZ82+Y/uiEAGoS0uFSAtQDIWgGAJ9Ni1ELAWX9u4Kka3f5VBdaLa2gk+gtdS3zmet/nP6CRUiBooRgHIoRNqDYigExdCReIP5G7NaOqUZuTRbiFBwtEeLw9gypzX7LumLQgSgLhQi4LPZ2pBi6FRcCxHLTguSJgqRLT9WpbqYbHGlXkiLQ9o6pzX71+iLQgSgLhQi0CIUQ3McoxgaFSKG1oYVkc+qhciW73KoLh5bXJ0r0urwtsxrzb61+6IQAagLhQiADMXQEmWJTgoRy44KkiqFyGEKDkOrq3JlWh3m1nmt2X+tvh79J/5YvzV9ElCIAJRDIQLQLpusyVfq9A3f/4Z+K8AOCpLiQmSLj1VVWbC1uhKvSKtD3jqvtfuv3d+7f4otRMaY58HLvuoVtx0AyIZCBABC1KwF3vAfFgoRQ2vFiMHJKboQ2eJdjioLtFZX3yvS6hRsndfa/dfuz8Z/dKAQMXwlhQhAMc982qf3Wx7VFwAtrjAAYC3eGFOIWBotSMRCZO13OaosyLZe1TZGq9OxdV5r91+7Pyk+hQhAXZ4RKkQiqbI+oAgCODxJhYihwdv2XX9PX4j8+ff6O/2hekVHlUXY1ivZhml1alrIa+0cavc3F59CBKAupYXIlqivSyiAAFYjuRCxNHQbmULkYWbDFB9WpZhFkaQipIBGMKLlqWkhr7VzqN1fTPyfftVr+i0AgDH2GaKm7keMZOcYdT9Ckh0UBdAO2UWIobHL+VqI5ODfolZFSAGNYMIepqmF3NbOYY3+1hwPAIA27nNSTd2PGMnOMep+hCQ7KApAmYYurcVCxL0VXBVTJegx2dNUtZLj2jms0d/aYwIAOBr2Oaqq7seSZMdYdT8kycbKghZROzMNnOZ7IWJz8VWMFNQIRPY6VS3kusWcrdHf2mMCAABd7HNcVd2PGMnOsep+SJKNlQVzqM7ShtN9LURU+rcz4guC7H26Wsl7ixzW6HOLcQEAwLGwv0tU1f1YkuyYou6HJNlYUftCLeONhp/+HRGbqC+Y5ShT1kr+W+SxVp/afTzUv4bImtEBAACm+L911NT9WJLsGKvuhyTZWFl55HsKqAZbJlyIuPPiChY54rS1Mo4t8lijT9tHlX76wONnqjkIAABwPMxvOHV1P5YkO6ao+yFpYjgl3JKBarB5boWI7dAVRHHkqWtlTFvlsUafNftYI3+As3Mt6nN0v0OXBAB7QbqDVdT9GD0+ZlhoTkM1mEz6R7NOjDkfvo5IK2PbKo81+q3Zxxr5A8CAveeS1P2I00Oiuh/pkjMRBABNs3Cbqt7JlR8LFCIB7Ly7OjItjXOLPNYaf80+1sgfANrA3u9J6n7EieIHoFXe+B/eeNuIuHVU76xKtyqFSIedW1dnoKXxbpXLWn3W7GetMQDAubHPmiR1P+KkVPgYyZl4AjgIC5ez+hWvfPucrhCxJ8TV2Whp3Fvlsla/NftZawwAAFtgn3HJ6n4sa1r4GHU/0iVnIQigEhGXmOoVqHhJH7oQsfPk6qy0NAdb5bJmvzX7WWsMAABnwz5fk9T9iJNS4WMkZyIITsXCKVe/IhQCHqIQsbebr7PT2lxslcua/dbsSzv205765H4LAAC2wD7Xk9X9iBPFz+lYOAXqZ6kw4O4KETteVzCmpXnZ8jyt1W/tMa41DgAAOD7u76wkdT/ipFT8yFkIggkRU6M+c5kBmy5E7Dy6ApnW5mjLXNbqu3Y/WvGlXwpWAAAAtbG/z5LU/YiT8LstV3ImgnbCQqrqo8kI2EwhYnN3BfO0Nldb5rNm37X70Y7/0695Xb8FAABwfOzv0WR1P+K0o+InwrUgukxCypsUIjY/VxBPa3O2ZT5r9l27rxrx15obgLMiLUjuinwNd78VAOwN6U6OUvcjTt3TwmzkYNwWXCNM0okIWL0QsQNzBWm0OH9b57Nm37X7qhG/ds4AEIG9ERc0XmwY3RYcSYp4dZEFAcBe+Mb/aP4xw4L7NsJV/amw8KhRLURsX64gjdbncMuc1p6T2n3ViF87ZwBoFHvzz6irVwR1JUqqIl5dZEEAoEPB/RThWuVuDQTNLkRMPF+Qzl7mcMv81u67dn814tfOGQDgjn3gzKirVwR1JUqqIl5dZEEAR6fgWo9wLYgeRggaVYhYP1eQx57mces81+67dn814tfOGQBgU+xDbkZdvSKoK1FSFfHqIgsC2JKCazDCtcoV7gSdFCKmzRfksde53DrXNfu3fdXsr0b82jkDAJwO+2CdUVevCOpKlFRFvLrIggAkCq6NCNcqV18f8FqI2A7UOzkZ7jzubS63znvt/tfoq0Yfa+QNAACVsQ/zGXX1iqCuRElR5KuLLAj2RcE5izzlNa4K1S+rnw173iLPX5Nsnfva/a/RX40+SmN2v48Gmf1eAJDP05765H4LoFHcB/6MRr8j7upKlBRFvrrIgiCKxakqnM8IV+2zRSESiT21rvZKC2NYu/81+qvRh15MG6lT9wvjLgAAAA36XzFLcn8FDepKlBRFvrrIgnZO1DAKxhkRPyqFSChEAthJ1pzsrWlhLGvnsEZ/tfpYc54AIB1770sCgIpIN52grmYR1JUoKYp8dZEFVWQxfGH/Ee4aI6QQ6TGT6eootDCmLXJYo79afWjGrZUjAHR0i5SQxAXNnO6vzj1SALAC0s0nqLuNBXX3dIoWXhOEQ2MWDeaJcDcmJb2cshCxk+bqaLQwri1yWKPPWn1ox609DwCgiH0AdIuRWIkLmTndX517ggBgJaQbsNeb/sM3dhsCpn0WGySTSPfcHk5RiNg5jJzLXdPCGNfOwfZXu89afWjHrZUnAOwc+3DoipIUiUVNSKNX5x4pACgg6iYqvNMi3HPu50MWInYiciZkj7Qw1i1yWKu/Wv1ox62VJwBANPZBdFX3I1JiUTOn+6tzTxDAYYm6yAvvgkj3lF52X4jYeXd1FloY7xY5rNVnrX6049bKEwCgWeyDrytKUiQWNSHdX51rggA2ZfEiLLxKIy/02F52V4jY8UfOw+FoZexb5LBWn7X60Y6bEu+nX/v6fgsAAKKwD9muKEmRWNSENHp17gkCCLJ4gShcRRHuMb00X4jYQcQM5si0Mv4t8lirz1r91IibE8/mUSMfAADIYPRg7n4kSCxsQrq/OtcEwY6JOoGFZznSfc6suULEJOvqzLQyD1vlsVafNfvRjluUa/fLaNDtDwAAOAHmeX9V//CPlFjUhDR6de4JgkpETW7hGYg8iSGzTQsRm5Srs9PSXGyVx1r91uxHO7Z+rreIn/GUP3HbBQAAKMH+orqq+5EgsbAJ6f7qXBN0WqImQGGGIkP4ZqsWInYurOBGa3OyVS5r9VuzH+3YNXMFgDK6NdFU5rgjAFDmfoN1PxIkFjUh3V+da6KaZTE5hRFEurs9VS1EbEduh9DmvGyVz5r91uxHO7ZmPO3cAMBi7y5H3SLGlbjImdUkxFhejwBQgftN1v1IlHxfCxq9OtcZvek/Bv4xw1RMsEWijMLYpCNRK0Rsv67gRsvzslVOa/Zbs68asbXi1Rw3ANTC3rkBdQsYV+ICZ1aTEGN5PQJAJUY3W/djTppEhVPoMzJEdiFi4ruCgT3MzVa5rdlvzb5qxNaMWWvcALB37JMmIG8BJBczc5qEGMvrEQAi0L5ZouIpdBpxo0cXIjZWRMxTspe52SrHNfut2VeN2Joxa+QHABCPfQoF5FUmcjEzp0mIsbweAQ6D9gUddZMo3UkzIcRCxHbrCsbsaX62zHPNfmv2VSO2Zswa+QEAtId92gXkVSZyMTOnSYixvB4BVqXGRRcVU6HjQIhrIWLaXMGUPc7Rlrmu2XfNvmrF1oqZkp+1dQUAAC7Sk9KRV5nIxcycJiHG8noEmFDjwoiKqdCxcGGrfVn9aNi5EuasebbMec2+a/dVI7ZmzslxbOeOzC8+AABYC+8h7MurTORiZk6TEGN5PcJOqXHyomIqdeyEoRDpMXPiao9smfuafdfuq0Z8zZj5saynLwAAOAbSM96RV5nIxcycJiGmcnqEitSY4KiYSme3D3HqQsROpcJ0bsaWY1i779p91YivGbNGfgCQD/cknA971c/IqUrkYmZOI3dZXo+npsYERE+sTuenKkTs3EbPccNsOYa1+67dX4342jGLYtUYIADc7y1xsRSrIYwogHMh3QWevJtILmhCmrhP5fW4Nd/0H9/UbwWolWRU3PLOD12I2IvI6ghsOZa1+67dX634mjGLc+yci2MAQAB7dxVIXAkZLTTHaNrbSADnQ7oTPHk3klzQhDRxn8rrUQW1QB5Rccs6P1QhYk+q1VHYekxr9127v1rxNeMWx+oDuDF++nVv6LcAoH3sU6BA4irIaKE5RtPeRgI4J9Ld4Mm7meSCZlA0CaZJRMU1RnkJ7L4QsUPPG37bbD2utfuv3V+t+Npxi2L1yYxzGu8BwNmxz4QCmQXSRAvNsRr3NBEABKh1g0THTU9gd4WIfRBZHZGtx7Z2/7X7qxVfO25xvN55HEMzQwCAOexTrFAL1YnYHKtxTxMB7J5aF3J03LQEmi9E7MPB6shsPca1+6/dX834mnGL8+wDjOOM9yz2qCsAgPaRnl4ZWqhOxOYYjXsRBbAatS646Is5PoHmChE7xuix7pytx7pF/2v0Vyu+du5FsfpkpjnNRLXGrgAATo30YEyUWJ0YRZgsadyTKIAJNS+MqNhxV+fmhYhNMy7d47D1eLfof40+a/WhHbc4Xu88jhETNcYGAAB0sM/cAonViVGEyZLGPYmCHVPzJEbHnTfcpBCx81JrblrEHfOW496i/zX6rNWHdtzieH2AcZzxXhzWJ9UPAADawH2OZyqiOhFNYjQOMxHEoTJXtSY8Om7YcJVCxHTv6iy0NOYt8lijz1p9aMdVidcHGMfRzBIAUhAXX1amPUEA7SBdoRlauDHE5liNe5roKHzTf/ym658qY6o1MdFxZcMqhYjpytVZaHHcW+SyRp81+9COWxyvH2z/R894L4Y0awBYxt6Hwv3oNy1IXGxJkt2DAmgL6SrN0MLNITbHatzTRKvTd6rSd60BRE/O1FClELFhp+GPT6vj3iKnNfqs2Yd27OJ4fYBpnPSocx5P+bQ/3m8BQBn2btWWg9Q8I3GhJUl2DwqgPaQrNUMLN4jYHKtxTxMF6RtnbWJRCRIgOvZgmF2ImBBWZ6PlsW+R1xp91uxDO7ZKvD7AOE565HQPAGgPeydrykMymZG4yJIkuwcF0CbS1ZqhhRvEbx7R7/uHs1AJEiA69s0wuhAx5q7OxB7GvkVua/RZs48asYvj9UmNcxvvxZLuAQDnwT5XtOUhmczIX4gFJbsHBdAm0tXqyqM/JLSkoxIkQELsYCFiYrg6G3sY+1Y5rtFnzT5qxC6O6QQYx0mP6oSaYNt8AQDoID1hNOQhmcxILGZ8ya6zAlid/sJTuf5qXsSRse+FiLF3dUb2Mv6tclyr35p9aMdWmZM+wDhWXuRFDxvWFwBA00gPrlJ5SCYLEgsaX7JrUACL9BeKyvVS86KLuKivhUjNHFrGzk/EPDXBVnmu1W/NfmrELo7XJzXNLT3yNAYAAMxjn5za8pBMZiQWM5Jk96DgYPQnVeXc1r5AZuJnf1l9r5i5sNoLW+W7Vr81+6kRWyVmH2AcJy9ymoftwxcAAOggPWM15CGZzEgsZiTJ7kHBhvQnQOU81D6ZgfinKETM2K32xFY5r9VvzX5qxFaJ2QcZxxrvxZLnBQBa2HswRwDpSFdSqQQksxmJxYwk2T2os/PNP/DN/dYC/WSpzFntiRfiH7IQMeN0tTe2ynutfmv3UyN2ccx+0P0fDnmR87wul595wzf2WwBQjL2hMyQu1Ixk8ygBpCNdSRoSkMxmJN4fvmTXWR2SfmAq46s9SV78wxQiZlxWe2Wr/Nfqt3Y/NeKrxOwDjOPkRc7zGijxBQAfe0fOKREpRKS0FmquAPKQriYNeUgmCxLvE1+y66w2p09CJZfaA3ImbdeFiB1H7fmqzVZjWKvf2v3UiK8Ssw8yjZUXOc/rxjQHAFgHe/dpKgHJPUFaizRXAPlIV1SpBCSzBYn3ii/ZVVQWvWO2v4tKkGV2VYjYk2O1Z7Ycx1r91u6nRny1mH2Qcay86HleAyW+ANAi9qmgpUSkEAkqXaBJAshHuqI0JCCZhZRL71sS4o5KkHmaL0Ts+VhhLlZhy7Gs2XfNfmqNQyVmn9w4x/FeLHleAyF/e9wVAJwZ6alQqkSkEAmiuIH2kK6qFBXQuxdGuaESJExzhYidfqujsOV41uy7dl81Yqvk3AeZxsqLnOc1MOtvk3QFAKCK9KApVSJSiARpFzcAq9JfdCrXXsWLuIlCxI6v0hg3Zctxrdl37b5qxFeL2QcZx8qLnuc1UOoPANAu9gmnpQykMJESCxsj2TxKcGAUT7BaqAoX3WaFiL2JKoxpc7Ye25p91+6rVnyVmH1y0xzzoud5DcT724ytAADOiP8s1FAGUphIaRc2RtAQpSfE8Vc7t8oXyWqFiMnb1dFoYWxr9l+7r1rxVeI6Qcax8qLneQ2U+pd6A5wVe+/FCs6AdOZLlYgUIkEUN9vzLT/wLf1WR+kEOv5q50LxpFYtREyeVkeklfGtmUPtvmrFV4vbBxnHy4+e5zVQ6g8AeTz5U//4cOtHSmtRZwVnQTr7JcpACpOgUVFjJZtGCxJwJkxt7pQCqRci9gJRG2hjtDS+NfNYo69a8VXi9hPQ/+GQF30aJ51SfwDYCPsAKJTWgs4KzoJ09kuVgRQmQaOixko2jVazaCRXY4AKMYsLEXvyrI5Ia+NbM5c1+qrVh1rcPsg4Vn700pzyewYAPeydmCtFpPAZ0lrMWcGZkK6AUmUghUnQqKixkk2jpYZGsD5GS3llFSKmT6uj0uIY18xnjb5q9aEWtw80jZcXfRonnRJ/jf4BQAt7R2pIGamLDGkt5KzgbEhXQYkykUIlaFTUGMlmIwWZbYykj6ER6k5BsOhCxPRhdVRaHePaOdXuq+Z4VOI6CY7jOQ2J5HkN5Pd8w/W1sVwBwJ6R7uoSKSN1kaGUhVyM4GxIV0GpMpDC+JpjqT2GPoZGqDuZwYKFiInn6qi0PMa181qjv1rx1XLvg4zj5UfP9xxQ97dJOfrUT/mj3QYAgEF4SBRJGamLDGkWNUZwRqQroVQRRJrN0sfQCHUnI9ioEDH+Vkem9XGundsa/dXqQy1uH2gaLz96vueNaS5plPoDAOhgn0ZaUkQKnykKG9Ah8uxrXCR9DNXrLTHYtRAxPqpJNIgdY8vjXDu/Nfqr1YdaXCfQOF5+D/meAzX9f+Yb39RvAQDsEfuU1ZAyUheZorCBRTRObB9D9RpJCJb1ZfW9YObBqmXWznGN/mr2oRa3DzTNNa+HaZx0SmPE+1tLVwAQi3QHzQlaRTpbJVJG6iJTFDYQpD+hquc1MtjhChF7g6hOZiXWznON/mr2oRa7DzSNNz0SS57XmNIYGjkAQCT2cbGkHqkpV9Ay0hkrkTJSF5misKnDt/6nb+23ItGavD6O6rmICHaIQsSM02oPrJ3rWv3V6kM1/z7QOF5+D/meA1oxAKBB7A2uoR6pKVfQOtJZK5EyUheZorApQGvAfRzV+VsItttCxIzLai+sne9a/dXsRy1un+Q01/we8j0HSmNMxwMA62DvvhXvQLfLUvVITbmCPSCduVxVQOomU6crbLSS7OOojnkm2K4KETMOqz2xds5r9VezH7XYTqBxvPwe8j0HtGLkYPsu7R8ALO5dVaqVkLrOVY/UVCJoHemslagCUjeZWq2wmW1coMTXpY+jFe5KIFjzhYjJ22pvbJH3Gv3VHJdq7D7QNGZ+Dxq5lcaYjice38/Gyo0HANq4d2WpVkLqOlcOUnOuYA9IZ65EFZC6yVSosLly38igxNelj6MV7ooQrMlCxORptUe2yH2NPmv3oRa7T3Sa7/RILPmeA1oxcpj0bQ+4AoCDId3ouVoJqetcOUjNuYK9IJ29ElWgVjfKcbTCXfGCNVOImLys9soW+a/VZ80+1MbgBBrHK+sh33NgyxgafQPA2TFPEi2thNR1rhyk5lzBnpDOYK4iiDSrTp+HajpOsE0LEZOH1V7Zagxr9VmzH9XYfaBpzPweprHS2TpGad8AAPrYp1qpVkTqPlcOUnOuYE9IZ9DKwdtNosTXp4+lGdIGW70QMf1a7ZmtxrBWv7X7UYvtJDqO6TRkkO85sGWM5dFbC1cAEIt0B4UEtZBmO1crInVfoh6pqUTQCCUnQ/NE9rG0r43qhYhJ2NWe2XIca/Vbux/V+H2gacz8Hqax8iiNUZKHRv4AsIC9SX0JSGa5glpIs52rlZFSyJWD1JwriOPv/Ke/0295lEyi5gnoY2mGrFKImASt9s7WY1mz75r9qI6jDzaNOT2SQr7nQFkGN0r8NcYAAAXYh0CpAkimOYKaSDOeq5WRUsiVg9ScK8igwsRphVQrRI50kbQwljX7r9mXamwn2DRmfi9O2CK2jKE1BgBoBHtTa0hAMssV1ESa8VytjJRCrhyk5lztitKEtQbsxNEIWVSImASsjkALY1kzh9p9qcbug01znh5JId9zoCyDGyUxcvxsf64AIAXpLpLUAFJaOQogmeYIaiPNeq5WRkohVw5Sc650WIhU2pFWok6c0pDJhYjp0OoItDSetXKoPV7V+E6wccyyXsq8B7aOkeOrkTMAxGLuOC1tjJRSjgJIprmC2kiznquVkVLIlYPUnKobw5bIQvMipf4WJ05JyKhCxHRgdQRaG89audTuRz1+H2waN7+Xaaw8NOKUxMj1tT4/86ZvHoLkBgOAlfFv2lxtjJRSrgJIpjmCNZBmPlcrI6WQqxGTA2MWmlfDySM3pWAhYgJaHYEWx7NmPrX7UY3fT0z/h8P0SAr5nmM04pTEyPE1PlrjB4C9Y58IpWoAKa0cBZBMcwRrIc1+rlZmzS41+yqMNSpE7NSvORe1aXE8a+ZUuy/V+E6wacz8XpywRWjGySG3f42cAQCm2KdSqRpASitHASTTXMFaSLOfqxwW/HLDWkr9XfpYOSGvhYhx1Mxna+x4WhvTmjnV7ks9fh9sGresp3zPMRpxSkZSx89mZAUAsfh3z5JgDmnGctQAUlq5CiCZ5gjWRDoDknykYw4LzYuU+rv0sVJDJn9ZvVXMwK1aY8281uhLNX6f8DTv6ZEUyrwHNOPkkuurkTcABLAPh8gbzTXPFSwhzVqOGkFKLUcBJNNcQTl/N/SPGS7NcOkJ0DyBfayUkLsuRMxArVpk7dxq96U6HifYNGZZL1o5asQxMXLj5Prm+n3KH/tD/RYAJGFvulItILnkCJaQZi1XDSCllasAkmmOTs9Wk1Ch39iQuyxEWr9g186vdn/q8ftg07hlPZV5D2jGySXXVyNvANgI+/Ap1QKSS44gBmnmctQIUmo5CiCZ5mpvzOe8MCKNAWtNmhMnJuRuChEzGKtWWTu/NfpTje8kPI1b1pNWni3EyfVN9TP2vgAglobvGP/GzlEEkluOIAZp5nLUCFJqOZpBMs/Rmlz7C3a6kM3ayc6RkEvThYgZh1XrrJnjGnOi3kcfbBq3rKcy74EW4uT65vjl5ggALvbuK1GjSKnmKALJLUcQgzRzOWoEKbVcBZBMcxXD1S5ovBAltpMQpf4ufaylkM0VIiZhqz2wZq5r9KXeRx9wGnd6JJUy74EW4uT65vjdfcyGLwBYGelGzFGjSKnmKALJLVUQizR7OWoIKb0czSCZW00QD0aQ62cp9XfpY82FbKYQMUlqjr02a+dbuy/18TgBp3HLenJCF9FKnFzfHD+N8QJAi9gnUYkaRko3VRFIbjmCWKTZy1FDSOnFyMHb9ZhvVUGziz5WKOSmhYhJymovrJ3vGv2px+8DTnOfHkmlzHughTgls5HjpzVmADgq9qlUqkaRUs1RBJJbjiAWafZy1QbXTILpLOSpMYwKUyGFXL0QMUlY7Ym1c16jP/U+nIDTuGU9OaGLaSFOrm/OPIR9bEtqRABw755YnQdp9KlqGCndHEUgueUIUpBmMEdKBEMt9KGRgtYwZuKsUoiY/q32xBZ5r9Gfeh9OwGns6ZEUyrzHaMUqjZPrm+MX71M6KoCTkXHLWJcSnQdp9DlqGCndVEUiueYIUpBmUNbf/c/yP2ZoWosoDtChEcPQx/HDVS1ETGda+a/JFnmv1ad6H33Aaf7TI6mUeY/RilUSp2RGcvy0xgwAM9gbu0QJSO6pOhfSDKSqYaR0cxSJ5JoqSOM6Z8GJi5hRjUnXOnF9HDeceiFiglvtiS3zXqNP9bE5Aadxy3pyQhejFas0Tq5vbr8xPjZ2TnwAUMS9GXOVgOSeqnMhzUCOGkZKN0cRSG45OhPX8QYHvbPZ6NO1WasUIiaY1d7YMu81+q7SRx9wGru8tzLvMVqxSuPk+uf4GZ9Yv5/95m/tt9L8AKBB7E1cogQk91SdD2kWUtU4Uso5ikByy9GuCCa8MBKNgVaarKJCxORUKa+q2Ly3yn2tvtX7cBKfxi7rzQldjFas0jgl/jl+WX3ZJHMTBTgt7s0zpx0hpZ+qBCT3HJ0LaQZy1DhSyqmKRHLNUW2K+9BIUmugTpzkQsT4Wu2NrfNeq3/1fpyA09jTI6mUeY/RilUaJ9ff+OX4pvqI/eR0DAAL2LutRDtCSj9ViUghUnU+pFlIVeNIKecoEsk1VrFcbYMOEZFSOguhEcPQx4kqRIyt1d5oJfc1+q8yzj7gNHZ5b+URBrRjlZDrv5af1jwBwFqYu7ZUO0JKP1WJSCFSdT6kWchR40gp50iJa6hgvIiOFHPRIFiImDyt9kgrua+RR5U+nKDT2OW9aearFcvEKYlV4p/jl9Nfbn4AsHfsEyNXO0MaQqoSkUKk6pxIM5GqHSCl7SqVoE9OsEQUu5gUIrnz0QI29xbyXyuPKn30QadjmB5JpTzCgHasEkr8c3zX8gEAGXM/5WqfSCNJ1c6QhpCqRKQQqTon0kzkaEMSui/OVGOoStN1LURMLKs90lLua+VSpZ8+qBy7vLfyCANaseSxppHrn9u3ro/NwgoAoii4Xfy7LlX7RRpNqnaGNIRUJSKFyNE5kWYiVWn8n//57/ZbaVx7CnYXkUd6qlMUYiR/Wb0VzNitWmCtXKr04wSdxi7vsTzCgHasEkpyWcuvJEcAWMDeYCXKQAqTqv0ijSZVO0MaQqoykMKk6pxIMzEnB283iqBPRLCc/pTZXSFi5qyBeRuxVj5V+umDTud1eiSH8ggDLcUq8c/xNT6pfjH2Nm5OfABQwL8JU5WJFCpV+0UaTap2hjSEVGUghUnV6UgY9LJpRLDSSS7030UhYsZo1RJr5VSlHyfoNHZ5b074YlqKVeKf67uWDwDsEPtgyVUBUrgU7RtpRKnaGdIQUpWBFCZVR+Y6vq0HWdB/04VIqxfQWnlV6ccJOo0/PZJKeYQxLcUq8c/1zfFL8jHGrgAgkoPcOO4wcpWJFCpV+0YaUYp2iDSMHCUihUjVqiR2eDUP+kQEW32AA80VImYurFpjzbyq9NMHlcdR3qN2zlrx5PGmUeKf65vjl+Ij2f7RP/xJ/RYAxGPuphLtHGlIKSpACpeifSONKFU7RRpKqhKRQuQomiTjnqBPRLCc/lwy/ZspREz+pXNQizVzq9KXE3Qau7zH8ghjNOOVxinJJdc3xy/VJycvALjxx//oJ/dbWtg7OFc7RxpSqjKRQqVq30gjStVOkYaSqgwUQogsx4rorTShDP9NCxGTr1WrrJVbtXnog07j6/RYHmGMZrzSWCX+ub45fqk+pfMCcHbMPdTWfWQzKtHOkYaUogKkcKnaN9KIUrVTpKGkao6ldo+reaKPOon9b1KImBy3nqcl1syxSj/OAKbxy3t0wqugGU8jVol/rm+OX6pP6bwAwIC5n0rUFlKGKdo50pBSVYAULkX7RxpVqg5KztCCPhHBVp7K1QoRMy6rllkzxyp9OUGn8adHciiPMEYzXmms0hnK9c3xS/WR7c1RXwAwi9Kt4t51OWoLKcMUHQBpWCkqQAqXqv0jjSpV++c+iuBwIsZZOhUJ/tULEZNL6XjWYM08q/XVB5Xjl/cox81HM55GrBL/3P5L/FII2f/Mt/7drP4BoMPewLkqRAqZqnaQskvRAZCGlaoCpHApOgbSyFKUxt/7L/9nv7VAYuhl8/Rck4nsokohYvq2ap0186zWlxN4Gl+n1/IIYzTjacQqiZHrm+NnfFL8Yu2tXUpsACjEvfFypIAUNkXtIGWXqgMgDStFBUjhUrV/pFHNKYEc80SfESW+logYqoWI6U8j79rYPNfMtUpfziCm45keyUEnykCNeCWU5pPrm+OX6lMyLgDYAeYmL5ECUtgUtYWUYYoOgDSsVBUghUvVrlgj4WAfEZ2vkF9xIWJytGqdLfKs1qcTdBpfp0ftvDXjmVil8Ur8S/rP8Uv1SbK3g7ECgHPg3/upUkAKm6K2kDJM0UGQhpaiQqSQKWqaxATv5kG/FUa80EV2IWLirpC+ClvkWq1PJ/C0j+mRHHSiDNSIV0pJjFzf3HlI9Umxzx0LwLmxd7OrEyJNQ4oUkMKmqC2kDFN0EKShpaoAKVyqkkh1SLRfNl+wSB6QwEyMpELExLHaA1vlWq3PPrA8Lp1etXPXjCePO43SGLm+OX45uabY544FACTsHZujkyJNRYoUkMKmqC2kDFN1EKShpagQKaSktbj2VdKhRrKBGFGFiPHVyGENbK5b5FutXyfwNL5OrzpRBmrEK6U0Rq5/jl9tn9K5ADgz5v6RlI8ULUUnRZqKFCkghU1Re0hZpuggSENLVQq17S1Bv9yA5QQLEZOS1R7YMtdqfTuBp31Mj+SgE2VMi/FKYpTMUY5fbZ/csQDAPObeKlE+UrQUnRRpKlKkgBQ2Re0hZZmiAyENz5eLv79Eov2y+YJFan4SQoxJIWJsNPpai63zrdZ3H1gen06v2rnLueajEa80Rq5vbr+pPqn9yLY2Smo0gJNS6XZxw6aqDClirE6MNB0pUkAKm6L2kLJMEcxxnaGSadKYYi/GtRAxx6z2QAv5VuvfCTyNr9OrTpQxLcYrjZHrv5aflr057goAEvBvoFQpIYVOUT5StBSdGGk6UqSAFDZF7SFlmap1+Pv/5e/1Ww6p3eemG/Rbb/yWpC+rb42ZnvWnaEy1HJzAch86vepEGZBzzUcrXkmMkhxy/HL6U7HP6RgAdLH3YY4UkcLHqgwpYopOjDQdKVJACpuiNpEyTVEhqSES7YszVBiiG2MXhYjJV2PcpVTLwQk87UNn9DpRxrQYr3Sca/uu4SPauwfNthUA7Af33s2RElLoFJUhRYzVyZGmJEUKSGFT1CZSppK249p7MIWI3DTS72M0W4iY/Ky2ploeTuBpH9MjuehEGaMdUyNeaYxcf+OX41vbJ5jXXJCcpABgn9iHRI4UkcLHqgwpYopOjjQlKVJACpuiZklNLncwQb+IgEoT2FwhYsalNLZiqubSB5b70OlVjl2GdkyteCUxSnJY0y/FJ2ibmzAAbMIzn/7pl2f0agrzLCmRElLoFJUhRUzRyZGmJEUKSGFT1BSJCbWS/wNP+MI3P/Q7/rcn9bvb0dIJrZqLE3zaj17PNcagHVMjXmmMEv9c31Q/NXuhwRx694/7/bednte/8Zv6LQCQ+KN/+A/2Wzk80P85zzOeFlN4PHR52ctf0W+fiLgpXIVtU2loIvbIxtP3bf/l7/dbM6TmmDGmq0vQLyJgRp+WR3zcv9y2EEldYK1BtZycwHIfOj3XyF87pla80jgl/jm+a/gE7YUGe4hCBCCNPxJZiOT+fn7G0z6j3/IZ38ijPe8e/8qvOmGBEkPBokmbbVNpaCL2SuEURhUihtR+Eu3v5kG/iICpOfaYQmSTj2aZ56X3zNycqjk5gad96PVcI3/tmBrxNGYs1z+37zV8gvZCQ04+AJCGuc9SdXsnRGp5aLw32unk8fTPfPJdT+sFHf68pUoRKXyKypAipgjEaYlVTRLj105niVXfEdl6sBJVc3KCT/vR67nGGFqNWRqjxD/XN8cv1SdoLzRIto/6uI/tt27/Y+P1b/zm2w4ATPgjf0h4RyTz/whagh/Fin4YDIYTl9kYD11e/tVf12/PUThAaGoKt0+F6+nbfjDyHRFD6nQl2t/Ng34RAVNz7Fjlo1nRz9ANqJpbH1zuQ6/nGmPQjqkVrzROiX+ub45fqk/QXmgI2bqFiOENFCIAQcRCpIC474P4jO/m0V7woWC5GUzMvANf9TUxBUoMGSsUmNLQNG6byv6vp/vHslKGkjrsRPur+axPRMDEPqt+NMs8zxafhRtRNTcn+LQPvZ71Ig3UilmKRl4l/rm+OX6pPqK9OSg05OQDAHWRixB7E081vJyjo51OE4ZG1/e+cT8w5jM/48mdPu3yVEe+iy8ZyTJWcEeanlgpI3URq3KkqCk6CYlDvZpvMD3q74i0fIqr5uYEl/vR6b3WGLTjasUrjVPin+ub45fqE7QPNCzFf9Qf+NjR/8ngHRGAMFrviDzjaU/ptwZS722ZwXjithjnZpDq91Vf+/X9Vj6J/zM1Av2Ip6Whqdw+lfIMRl9UTwmX2nWi/d086BcRMKFPtY9mLT7XNqZ6fk4H0770eq8xjpZjlsYp8c/1zfFL9QnaBxpi4l8LEYc3fCOFCECI0kLk6UIBkvXwuDM4T8Isxr0ZpPsZbu+uTHAOfvUrXtlv1SVxvRVJnaino7Fp3DadW++rFSKGRJ+r+axPRMDIPos/mmWeNVHPqo2onp/TwbSv6ZFc9CKNaTWmxnhL/HN9c/xSfYL2gYbcsQBAHZ7+mV0RYm5MX7NMHcavoWW0cz0gcWt0fe8b9wMS1se+emZ8n/qUT73qM57yJ+6qgZ9CisJI1rGCO9L0pEgZqYtYlXOLNIqVEjgniUSfq3lOP5lkvSOyYn5ZVM/P6UDuSy+DGmNpOaZGnJIYub45fqk+QftAQ2x8Y/fuvCMCEM0f+UOf2G/FMPyvwWsRMkG+U2fv39ib+87NYeIWFcdbNFkifEXPGb+vecU39FszRP6f1rWok05jg9wzjV4vf/+/fNs0tZRcU8eVaH83D/pFBIwwSfpoVtTzamNWydHpZNqfXga1xlIjrlbM0jgl/mv7pvoE7YWGlNjWlkIEIJ4/nFSIXC7P8AqQ2Xs05QYOcgsyCRUVW7nwMCz43poFo/7Q137dq24bpSQuxmpTJ53GBrlnKk7lt3WFiGHURUp/Obkl+lzNZ30iAi6YRH00yzwHFp4hm2Lzq56j04ncn14GepEG5JzL0IqpEafEP9c3N+9Un6C90JASOyd3AEjDvAti7rW7RjuCohg7TV99qLHZDGPfOxG+oqfrF/C9NVm/3shuOocMn/7kT7nrKb2y8OOnqAJSN7EKI1nHCkZIU5SiVFJ8cuLnsEI/wXdE1hpjLqvm13cm96mXSa0x1YirFVMjTkmMXN8cP1UfoSElvm/7qD/w+/qtG2/8xm/ptwDA5w9/8sw7Is7/AXz6U6WPYsUw3KGL93XKjX9nVDYMRMQSPaP8hp8jFnyHZs8w4PeKr391v9UQEf/jeE3qpNPYIBvn237w9o6IYTRzqdNY2f5qPusTEXDGZPLRrIXnQROsmqPTmdyvXjY1xlVrrrTilsbZyj/HT9VHaEiJL9lSiADEM1uIdMjfBbGM78DFezfl5g4SKDwMEfFVi49oP4OO79d9/Wv6rR2SuHBcgzopNTjQSrhFiGU0+pSpSJ22jGm+ugT9IgMGzO6FyG8v/Ot71yDi+aOH05ncr142tcZVI65WTI04JTHW9k31mbUXGlPih2wpRADimStEnv6ZT+63Iu7NlJt3kVswjT5bf9fDJdfXNH/9K3dcoMSQseisTZ2UGhzoDKqFiKGy/d086BcRMGCyi0Ik4jmki9PhtG/dbGqNrUZcrZgacUpirO2b6hO0DzSkxJ+zfdTv9wqRN1GIAIQIFSJPc4qQK6kPgCC3QEnhEoyD75dExBAzi/YzKPkm+RnCvl//Da/tt05M4mJ1DeqktP5ApULEMMokNa3K9lfzWZ+IgIJJ04VIxDNFl/AzqUcvo1pjqxFXM2ZprK381/IL2gcaUuIv2VKIAMTjFyJPe6pXgCRzu0Oj7+mUmz/AGd71MIxN+r1kv8vllRQn8SQuctegTkp5UaMKEUNK+NRUMlK/ugT9IgN6Zs0VIhHPBn2cTuX+dbOqNcYacbViasQpjZHrv5Zf0D7QkBI/xpZCBCAetxCJK0Jud2H0fZtyg88w882QgSgTwSgptGdc0Xfc7Owt+BlyfF/5qtf1W6BCxgK5NtopfdsPfnu/NWXUV2rHle3v5kG/iICeSTOFSMTzoQ6Lzxm9zGqNsUZczZgasUpirO2r6hNoSOkj1pZCBCCeP/TJ/9P1z9vfinW7y1LuyzTjMFGFhiXZVHBYiDE0e4YLfhbRP8J3bBLvO23ujyz4GZZ8v+HVcwVK4goQ4mhwWqWUvu2/dIXITK6jppQxpY4/1b7j6jLrFxHUMdm8EIm41+vgdCznoJtZrXHWiKsZUyNWSYy1fVV9Ag0pfcTaWrt3d4oRChGAMG96wyv7LYGUm3SBWoWGxJ7e9TCIvkl+lv7Igq/cnOYrFSdpa8E0a0hgxan99lqFiKGy/d086BcZsDfbrBBZuGfr4nQ+zUM3s1rjbD2uRpzSGCX+Ob6qPoGGlD5ibV07ChGAZd70+pkiJIGkIsOQaC4xhJgJttDPbIwFX4Pon+RnWMdXbu6OZvkZZN9veM3r+6000taQadaQQOLUXgsRw4zfqCklfs5pTvS5ms/6RATsTVYvRBbu3bo4nct56GVXc5w1YmvG1IhVGiPXf02/oI/QkBo/1t63e9Tv/7391uXyjW/61n4LACwpRcia72ZYhjCRAZPNPIcIfx1fg7O34Dtt7o8s+Blkk+7ogm+4Oc/3VZnFSQyJ686OdA8I8+32OyIz0zppSjkFqacr4/ReXWb9IoJ2JqsVIgv3YF2czuU8dLOrNdY9xNWIVRJjC98cv6CP0JASv9SWQgQgjF+EHKnQ8JntJyKm6J/kZyjxNfRHFnzl5hJfQ9cy47sQtjMIW7zqtW/ot7Yhbc2aZn0G7kWIZWaKRk0pU5kz7Yk+d/OgX1zAR3x85UJk8WarjZOAnItehjXHWiO2ZkyNWKUxSvxzfVP9Zu2FxpT4GraP+tiuEOmfHRQiADe+8fVf32/NkHIDzjCEiQyo0O80hHckoo/BpMTX4OxV9JWb+6O5vll+PdfGsEWM76tf+8brbuqCck3SUmt4IAVkFyKGlClJnb6M6b66zPotB61SiMzeMGvhJCHno5tlrTHvIa5GrNIYJf45vqo+gYaUPrRsr4VIzzd+E4UIwLUISbnBZhjCRAZU79eyEDg5Pc8hwn9s4uwt+E6b+yMLfgbZpDu64BtuLvHtuDbORg8z4+sefY0tTmLJWIyuQXpajQ6kY1KIGGbSHTWlDqu2fcfVZdZvPqhqITJ706yFl8Q0J90sa465VmytuK3EKfHP8VX1CTSk9KFn+1BXiIz/Cl+KETgz3/i6iHdCHIb7K/KuTLl5Z5iGWQhc0O/g6gSJiDc2KfE19Ecq+oabu5Zs345ro2yxEFbB13DbeM3rvvH6pxoZC9i1SE+t7mBSCxHDqDklvdShZAz97hL0nQ+qUogs3gBr4CUh56Sbaa1x7yGuRqwtY6zpF/QJNKT0oWd7a6UQAQgXIMM9FHnnpdygM4zDRARV6tcwhPKCJqfh7FX0lZv7o1m+hq4l27dj5vseC2F7A9kqztcwtQz5vla7QIkhY/G7FmmpxVl/+/VfVRdsZ9wnTSmJpdgaUu07ri6zfuHGokJk8SZYAy8JOSfdTGuOu1ZszbgasUpjlPjn+ub4BX0CDSl96NkOrRQicHbeeC1CIu+ulJswwDRERFCFfi3R/Sen5ewl+xr6I1m+hu5otq9h3n8x9I6KjzsB39e+/k39VmNkLJjXYi614R0RwWrGcdSUMvYUW0uiz9181k9uzCpEFi/mNfCSCOekm22tse8hrlas0jgl/rm+OX5Bn0BDSh96tkOr2fqkv/K/Xf7+t33H7UAHhQiciTe+7uv6rZ6UGy3ANEREUIV+LUn9Z/Q7dnH2ImJNTfojWb6G7uiCb7i5xLfj2jgbPcy9Ubaa9TVcDaZWi36Gu9HYOsb3da0WKDHkLM6V+AcahYghZQyp402177i6zPrJjUmFSNRFXRsviXBOutnWHHut2JpxtWKVxinxz/XN8Qv6BBpS+tCzHVrNlilCfD77hZ/fbwEclze+1itAEpjeYxF3aIRJLEn9K/U7DuPsLcSfNpf4GvqjWb6GriXbt+PaOBs9zL1Rtsr1nfWzBPzTfA3Djt16/Ru+qd86MBmLdJehEDEIwWbij5pS8sjJOcPn6jLrN21cLESiLsw18BIJ56Wfca05qDm3mrE1Ym0dI9c3xy/oE2hI6UPPdmg1W1IRYqAQgaOzVIRM76OIuzDCJJak/qv2a3FaIvqbmvRHsnwNcf7h5q4l27fj2jgbPcyM76yf4W4wtYz3NYytF30NAf8U39e/8QQFyhL9GlytEDHM2E5IsTWk2nfcXYK+04ZgIRJ1ga2Bl8h8XrpZ15yDWrE142rFKo1T4p/rm+M36xNoTOlHz3ZoNVuhIsRAIQJHxhQh03sl4k6LMIklqf+q/VoCLQl9T037IxExZJPuaLavYdl/tnnX3/cwjK0XfQ0B/3Rfw+2A5PuGN35zv3Ue/sEP+X9rlrBqnykCRk0zdhNSbC0ZPleXWb9x46QQibrI1sBLZD4v/axrzkOt2JpxtWKVxinxz/XN8Zv1ERpT+0ixn7cdWs3WXBFioBCBI/KG176i3xJIvTkXmIab6UCx73CoQEtB31NX58hCXLm5P5rla+hasn17KD76P3N8DbcDOb5v+MbjFifXd0Mmi3Rh1T6zkI9xD5Jia8nwubrM+g2N90LkoxO+rF4V74Kcv4ijLvEk9CMO1IqtHVcj3tYxcn1z/GZ9hMbUPlLs522HVrO1VIQYKETgaLzhNTNFSAbTe27mLpy/QZMIhwq0KPUd1e9CX3JzfzTL19C1ZPt2XBtno88z4x/na5haxvsaxtaLvoaAf7qv4XYgz9fw0KzvG68FSs5Kuh3kQsQgHJwZ6qgpZUpSbC0ZPneXoO/Q0E4h4l198xdy1GWehH7EMbXia8bViqURpyRGrm+OX9An0JDaR4r9vO3QarZiihADhQgciZwiZHpfzdxp8zdhEuFQgRalvpfDCBYRfcsm/dEF/3Bz15Lt23FtnI0+z4x/nK9hahnvaxhbL/oaAv7pvobbgTxfw3zxMcEzNt5vfNO39HtTxuvgjBW1Mvfvh0xSEXKbSTfGPUiKrSXD5+oy63dr3L4QmVxUcyRdrtHUiXpjL7G1YpXG2co/xy/oE2hI7SPFft52aDVbsUWIgUIEjkCoAJHvm5m7af5GSyIcKtCi1PdyGMEis2/ZrTsaES9ssuw/23xtnI0e5t4oW836Gmb8430NY+tFX0PAP93XcDuQ52soLz6WmCtOYhivnzNW4QHChYhBODjT9agpNcXa9h13l1nfBzYsRCYX1hxJl2w0daIO1IqvHVcrXmmcEv+1fYM+gYbUPlLs522HVrOVUoQYKERg77x+UoTM3DEpN94C4VCBFqW+l8MIFlX77o8u9BFu7lqyfXtmvu9hmG29N8pWy333fwqW8b6GsfWiryHgn+5ruB3I8zXULz7uTHyHn7X/bazxmnu6Ah/9jVmT5sCKPfZwwE4kxdaS4XN3CfreCpGH9XvrYK4F5yLxdj3mW0uoE/VGvax142rlqRGnxD/XNzfvoE+gIbWPFPt526HVbKUWIQB75/Wv+drup7n6e5kFqbM7UQKS+02316Tl2rfRtOmqSCRXVze8o/e+jabNsUiurgb6I25/ArZp2twdcfMVMIetRO7+UwvrZzXh2tD9uPpOreSjDneDqeX0iMfIYLTj7QUYGQ07o8MhJka3HfeKnmViZH1v/otY/7txgvfE1+6OD37SJ378SNrY3mzf/muepfYxadYeOc4ZPssuN4t1ChHTl5ORt+sx31pCvcg3asXWzlsrlkackhi5vup+gYbUfmLtjd287dBqtihC4Gy8/tVdEWJvFKsEfNdBdkHhyS5cnUMjJSC5W90QWu79G3nNkfhuvga8llHfRn2TgG2aNndHXH8Bc9hqwrWh+2HlcW3uJXJt7H5cfcdW9si0xeFuMLWcHvEYGYx2vL0AI6NhZ3Q4xMTotuNe5bNYo7uh9b35LzLxdyNEMPEd/EcNEgvN1dHuf+vxzLGQW91CxHTuJODtesy3llIvct3MteNqxSuNUzpnub45frO5BhpS+4m1X7YbLMwWRQicCVOAXIuQBcy9IctdxDiyi1Tn0EgJSO6uxKP3/o0EkwgkN1djnJZR30bj5iXCpt0RN6aAOWw14drQ/TASLOzRaUvPtbH7IfjbI+OjDneD7sfd3+jG9IjHyGC04+0FGBkNO6PDISZGtx33yp/FGt0NbzvWf5GJ/+AdFcHzv21a3/5gCGvS6TOf+fzRfpKqIQSf6a8olRznDJ8YlzqFiOnZ6d3b9ZhvLaVu9P3E1poHjTgl/iX95/jN+gQaU/oxtrH2y3aDhdmiCIEz4RYg9r6ayl2wOLILSufQSAlI7q7Eo/f+jQSTSCRXqzFOy6hvK8ckAtfc10C35/chYA5bTbg2dD+MBAt7dNrSc23sfgj+9sj4qMPdYGrpHhmOeowMRjveXoCR0bAzOhxiYnTbce+GWazRyLDM33rfIizg+d82rW9/cI6JbyE2SKp8pGMlaMfTZCY33ULEm2xv12O+VYOa0Wtmrx1bK5ZGnJIYa/vO+gQaU/rRtR0szBZFCJyJ13VFiLnux4sTT9cFqNyUguTuSjxqF7+hHCKRXF0NeC2j/o2c5khcF18yfavbp0BvddeEa0P3w0iwsEenLT3Xxu6H4G+PjI863A2mltMjAiOj0Y63F2BkNOyMDoeYGN123DtkFms0MrT+txizCP4J3hP/26b17Q/OYc1602HzocvTzLshK/MdP/QP+q0l+oRdhEOWmaZlcpwzfO4uAV+dQsQEdzrwdj3mWzWo3cOeYmvF04hTEmNt31mfQGNKP7q2g4XZogiBs/C6V3/NVdcr/7rYvG2KikRydSUetQvdUA6RSK6uBryWUf9GnkkEvouvKU7rpH+jvlnANgWau4auxUqwskenLR33xu6H4H9vvu4J3A2mltMjAiOj0Y63J+AaXI2GndHhEBOj20708t0ajQyt/y3GIp5/krf1HfnfYowOhrBmvemw6zW0hHZKDQ7RMJdWWSHinVdv12O+VYuaPdQcgXZsrXgacUpj5Prm9hv0mQmY0o+u7WBhtihC4Cy87lVdAWIueqtIXBdJ4lG7qL1KMIlEcnU1xmkZ9W80bo7Bd/El07dO+jcampdwTYPmbmwP62c14d4oW8lHHe4GU8vpEYG7kWtt5O8JTAyGA5MmiYnRbef2cg6HsEYjQ+t/i7GIFyPJ2/M13Hatv9MgYU16s2HXa+h52jM/q99qmXHOV4RDlpmmZXKcSzoUfPMKERPICebtesy3alG7lz3F1oqnEac0Rq6/ul+gwRxO6UvXdrAwWxQhcBauRUgAcy/M6YbQYhfBzqG7IpFcXY1xWu59u3JMInFdfMn0rWL/Rr1JBNZUksi1sfth5XFt7iVybex+XH2nlvJRh7vB1HJ6ROBuNLWeHvGYGAwHJk0SE6PhwOhwiMHc4bbwv70i8GIkeo98Dbdd678Qw5r0ZsOu17CAax3vVQHtjtcYSEYfdxfPN60QMc5OAG/XY75Vk5q91B6FdmyteBpxSmIY31x/db9AQ2o/KfbLtoOF2aIIgTNgCpDXdjLXfEg3hBa7aL1KMIlEcrUa47WO+jdymiNxXSRN6VsmfVv1JhFY05BmuRt2P6wEL3t02tJzbex+FPkbTS2nRwTuRlPr6RGPicFwYNIkMTEaDkyaJESj28L/9opAiJHgPfG/bVr//uAcntmw6zVIdM3Td0Os36C419RTHyHqTEdFOdQZgIjU1XIhYryserxdj/lWTWr3VDu2ZnzNeBpxSmJs4Rv0CzSk9pNiv2w7WJgtihA4A7YAuWG2PNkF6lWCSSSSq6sBr2XUv5FnEoHv4kumb530b9Q3R2LNJS1yNex+SJqJMt/acW3sftzjDNgj0xaHu8HUcnpE4G40tZ4e8ZgYDAcmTRITo+HApElCNLKL6VuMRYQYSRE8/9um9e0PzmHNetNh12sIETD55E/6hH4rB7fvm5Zei0SYJJEaL6f/kpwd33AhYoy8ToRDDvOtmqzRU8342rG14mnMa2mMtX1n8w00pPaTYr9sO1iYrZpFyN/80r/abwFsy2tf9dXdBd9d8Xd1B31FIrm6GvBaRv0beSYR+C6+ZPrWSf9WvUkE1jSkWe6G3Q9JCxGshS+Ra2P3Q4hrj4yPetyNptbTIwJ3o7G1u3c7IjAxGA5MmiREo9sBsclHNLLL4VuMRYQYSRE8/9um9e0PzmHNetNh12sIIZgteDSKkPXMQPYyRj/PaSFiLDwr4ZDDfKs2tXuqORrt2JrxNOKUxijxz/Gd9Qk0pvaTYr9sO1iYLd4JgaPz2m/46qtSbiRjOqcxTotd+N41bo7Fd3Ml07dO+rfqTSKwpiEtcjXsfkiKiOJa+Vrkatj9uPc1YI+Mjzq4BkKu0yMeroHnP94LMDEaDkyaJESj24Go5bs1GBlZ35v/IkKMpAii/y3G6GAIa9abDrteQwjBbDj00OXpz/I+luXax6iUmBga/bikxsvpvyTn3ncoRMwBL6BwyGG+VZs1eqsZXzu2ZjyNWKUxcv2NX47vrE+gMbWfFPtl28HCbFGEwNG5FiAC5vqf0xiv1S5073KaI3FdJMn0rZP+jfrmSKy5pEWuht2PkBaiWIuQFhk5dD9m+rZHxkcd7gaupdGN6RGPkcFox9sLMDEaDkyaJESj24Hby2vysQYjI+t7819EiJEUQfQfYowaJKxJbzbseg0hBLPhkNBYghsuRcUIQWbiqnSZSkanrsutEPGCmN1w3PlWbdborXYf2rG14mmNuyRGSQ5V/AKNqX2l2C/bDhZmiyIEjs5ruiLEXOuSxnit/uK2+2+kCHwXXzJ966R/q94kAmsa0iJXw+6HpIgI1kpSFCOn7sekf6sp860ddwPZUj7qMDIY7Xh7ASZGw4FJk4RodDtwe3lNEgv+UXgxrHd0hIn/EGPUEEL0H2/N4pnZ3aF/p7Hj6c/67H5rA7pU/uEPfsd9e5EYmxRS42n3P4PtavTRLHMwnMN8qzZr9VazD+0xaMbTiFOazxa+s36BxtS+UuyXbQcLs0URAkfGFCBGA+aqd+QvbLv/RorEd3Ml07dO+rfqTSKwpiEtcjXsfoS0EMVahLTIyKH7IfZvNcW3cCVyN5At5aMOI4PRjrcXYGI0HJg0SYhGtwPRS3drNDJM8Dd4Maz3LUIEE/8hxv3gHNasNx12vYYQgtmw6zUcDmFsM8PdZCYKOr0WIsY/HGO+VZu1eqvdj3ZszXgasUpjlPjn+s76BRpT+0qxX7YdLMwWRQgcmdd8w1d1F3p3pY/UNbiKxHfzJdO3TnIw6psjseaSFrkbdz8kRUSxVpKiGDl1Pyb9W8n4Vq6iuDtMPd0jw1GPkcFox9sLMDEaDkyaQkyMbgeil+7WaGRo/W8xFpnESPKe+N82rX9/cA5r1psOu15DCMFsOCQ0+nRNm74bIjGT7p0YmxRS42n3v8D0y+p3TCbrZbNmbzX7qTEOrXhauZXGKPHP9Q36mYZAY2pfKfbLtoOF2aIIgSPzmleaIqTficCYzkmmb/UX1nf1JhFY05AWuRp2PyRFRHGtJC0ycuh+BHMwmuJb+Ipi4tj9mPR/Y3pEYGQ02vH2AkyMhgOTphATw9vO7eUcDmGNRobW/xZjESFGuf8txuhgCGvWmw67XkMIwWw4JDRKRJjsD2FAM2PcZPiZnQqFiIm07hDW6q32yLRja+bbSpwS/1zfoN9MwNS+UuyXbQcLs0URAkfmWoR4mOt+TjJ9q7ugHak3icSaS1rkbtz9kBQRxVpJimLk1P2Y9G8l41u5imbi3P0QczAaE25xGBmNdry9ABOj4cCkKcTE8LZzezmHQ1ijkaH1v8VYRIiRFEH0H2KMGkKI/uOtWQSz4ZDQ6GNNejPzx9OfHX43xI5t+hqHslIlJqB2p6nx1AcdxilETK8r9tyxZo+1+9GOrxlPI5aJURKnxD/Xd9Yv0JDTV4r9su1gYbYoQuCovLorQIzMde4rTG/hLmjv6psjseYhLXI17H5IiojiWklaZOTQ/QjmYDTFt/AVheQYzMFoQGp1FWRkNNrx9gJMjIYDk6YQE8PbjruQncUajQyt/y3GIkKMpAii/xBj1BDCmvWmw67XEEIwGw4JjT6CyYJHBG7QQcsvyUsbIeJMJ/r9R5DRaV+IrJuu6W2tHmv3VSO+ZjyNWKUxSvxzfWf9Ao05faX4LNsOFmaLIgSOiilAZMyV38ldzI7Um0RgTUNa5GrY/QhpIYq1CCmKkVP3Y9K/lYxv5SqaiXP3Q8zBakBqtUpi5Dja8fYCTIyGA5OmEBPD2467CJ3FGo0Mrf8txiJCjMQIgv8QY9QQwpr1psOu1xBCMBsOCY0SnsnY67b1jJl3Q+rgZjHoNiaBwOGqpPaZm2Oi38x3RPQxua0597X70o6vOT9asUpjlPjn+s76BRpz+krxWbYdLMwWRQgclVe/8uXdRd5d5aI6A6NIrLmkRe7G3Q9JEVGslaQoRk7dDzEHqym+ha8oJMdgDkZjJAuraCTnq7ofwjyM9wJMjIYDk6YQE8Pbjl1e3g+HsEYjQ+t/i7GIECMxwiTGbdP69wfnsGa96bDrNczhmQ2ew9Ysnpm32zHem+OTPvHjxwHmtCWx/c/YFQ9hhTlYpRAx41hhLHdq91cjvmY8rVilcUr8c31n/QKNqX0Z+xSfZdvBIjUXgL3w6q9/+VUpF7kxndMiV8Puh6SIKK6VpChGTt0PMQcjGd/KVTQT5+6HmIPVgNTqKhrJ+SrxYK8b8lGBidFwYNIUYmJ427m9nMMhrNHI0PrfYkThxUiOYP1789um9e8PzmHNHNNh12sIYc0c02HXa5CwJo7ZeFcw6HjGs1/QbyngdhErD+HQjWDDHFlOA4Xu0ST0U7UQMXmsNWZL7f5qxNeMqRHLxCiNU+Kf6zvrF2hM7UvffrCwW7wbAkfjWoAImGt+TovcjbsfkiKiWCtJUYycuh9iDlZTfAtf0Uycux9iDkZjJAurJKQAV4kHe8lHXc0yMRwOTJpCTAxvO9HLdms0MrT+txhReHGSI3j+htuud3AO0d9o2JpFMBsOCY0+gsn40HivSZwU/+EP/cProWxihzljFxsiSHGAeaoUIibnynlPWKNP7fiaOWvFKo1Rmkeu76xfoDG1L337wcJuUYTA0XhVV4SY61tSFFfj7oekiEiulaQoRk7dDzEHIxnfylU0knMwD6MBqdVVNJLzVd0PMQcr+ahVMhPn4cCkKcTE8LZzezmHQ1ijkaH1v8WIQoiTFEH0d2M4DSGsWW867HoNIQSz4ZDQKOGZjL3GeyJ9s+q7Ic0yMw8xFLpHE9mPaiHSXwerU7vPGuPSjKcVqzROib/xzfWf9Qs0pvalbz9Y2C2KEDgSpgAxWsTcAFd1PyRF3k0hRTFy6n6IOVhN8S18RTNx7n6IOVgNSK1WSUgBrhIP9rohtVglIwWx8g64e7NMDG87t5dzOIQ1GhneDtgYUQhxbISoKKL/EGPUEMKa9abDrtcwh2c29vQaJcYOV8a7XqNEhMmm9LkFU4zJPXZ8M3axIYLkBojwUylETD/Fg8xgjX5rxNeMqRWrNE6JfxVf0xBoTO1P336wsFsUIXAkJgWIudDdRbWrW6OxCuJaSYpi5NT9EHMwkvGtXEUjOQfzMBojWVglIQW4SjzY64bUYpWEFMCVeHC81LaaZWJ423HjzGKNJoYJMQxCHBvhFiWCif8QY9QQwpr1psOu1zCHYDrsCo0+gsn40HhPxDOxm894Tty7Ib3bzikcRUOTUFyIbDWW2v2a+Np9aMfUiKWRU4l/ru9s3jNBU/vTtx8s7BZFCByJV33dV3YXd3d1TxbY81grSVGMnLofYg5WMr6Vq2gmzt0PMQerAanVVRJSgNk8jOSjrpKQAliJB29yl9a+opg43HbcuLNYo4mhjXGLs4gQJzHCJMZt0/r3B+ewZo7psOs1hLBmjulwSGiU8EzGXuM9EcFkwWMWN1yssumdgzFigscmMGM3aYqNaUm1tyz4ZRciJm5uTqXU7rdGfM2YWnO/dYxc31m/mcbU/vTtBwu7RRECR8EUINciJIC55ucUxcip++Fq1CjjW/mKZuLc/RDzMBojWVglIQW4qvsh5mF0Q2qxSkYKYiUevEk+elMyYoDhwOjwHKLhbdF/e0VgYzjGiRECMW5xRgfnEP2Nhq1ZBLPhkNAoIZiNd71GCc/E7g6HbnvPjHw3xPCxv+d33TWOOC/56LzqUr+HNXjgCV/45od+2xc9sd9dZsthr9F3jT40Y2rFKo2zlf+s30xjan/69oOF3dpDEfLZL/z8fgsgjC1AUu+bCaMAedGKczCIQeIjq+RgCAZa7kEtB8NssHDjejlYBqPovkXD6JLhhmCcGCEQY/gZhWc67GrEMETEEUxKY8ge46PPfM7n9FvL/M2//lf6rXT+3rd/R78Vx//1Q//XbeOB2x8GZ3NMsMFhYiM4LcSJCTFLqr1F8HvkJ/zf8YVIxKVTldr914ivHVMrXmmcrfxn/QKNOX2l+izbDxZ2ay/vhFCIwBLfMPMuiMjohkm923I8AkwCxUdWy8EQDDbfyzo5WMIG6+ZhmBol5yA6JJcOkzhHKT4MyXE8s/FuRAzBZHpIjpNShBhKCpFU/t9f/QX9Vke/EA+u42MW+KKNcHAm1qQppl+XVHuL4GcKkcWPZpnTHnEJVWON/mvE14ypNQcacUr8S/qf9Qs05vSV6rNsP1jYLT6OBUfAFCDBIsRc7Fd1P3wNjZ1kfCtX0UjOwTyMxkgWVklIAa7qfoh5WMlHrZKRglhdkRrM0vq2vA4pGSmI1Z1p4/CatkYhOozjRiHESYog+rsxnIYQ1swxHXa9hhDWzDEdDgmNEp6Zt9sx3hPxTOzucGh6pIQ1i5BWmcxk6tTmnoqAX7AQMfa5fWlRu/9aY9SMqRVLI05JjGq+gcac/lJ9lu0HC7tFEQJH4BteYb6Q3m1c1f3wdW+UcS0kRTNx7n5McnA1RrKwSkIKcJV4sNcNqcUqGSmIlXjwJncJ7CsLKZDVnXHD+OW3ZiIGGPcThRAnOcrEf4gxaghhzRzT4ZDQKCGYDYeERgnBbLwrGPh4Jt5uz/TIiL459d2QtfmipzrviPTDCY5qZrh3RBvhYEysEnLjC36TQsTY1M5/iTVyqBFfO2+tWBpxSmJU8w005vSX6rNsP1jYLf0ixESuq7/5pfzfIxjzDa94WffTvU5kXAtfSUwCdD+CxcYYycJVElKAq8SDvW5ILVbJSEGsxIM3yUdvykIKZHVn3DB+jVuz8QO5ujPuNwohTnIUL8Zt0/r3B5fwTO3uEMNpDCGYDYeERgnPzO7eDo33RASTqYdg5OI1B6wggsncbTiZ90LEObebUjuHWuPUjKmZY2mc0lyq+QYac/pL9Vm2Hyzs1if9lS/qfpo9TQGsy60IuSFdka6ikZyVio0kpABXdT8Wig3pqKtkpCBW4sGb5KM3ZSEFsrozbhi/xq3Z+IFcjRgaxq9IBvc7yVHEGLc4o4NzWNPefNj1GuYQTIdDQqOEZ+btdoz3RDwTuzscmh6Z4DXb3Wc9t+13Q+YIjjbY4CDaCAdjYpWQG9/zuxYitXONweTQ6pzNoZ23ViyNvLbyX8w90JjTX6rPsv1gYbduRQjAfnllV4AYmWvaKgnX8arux+wCf4xkYZWEFOAq8WCvG1KLVTJSEFfiwZvkozdlIQWyujNuGL/Grdn4gVyNGBqmr4DLHILTOGIEYowhzqghhDXrTce7TsMcY6crwyGhUUIwG+8KBj6eibfbMz0ywnPydlVwY+YqBunjWS0wSWWj3Ba/rF6blJNZQo0+tGNqxdOIUxoj13/WzzQGDHL6S/VZth8s7BZFCOwdU4AsYi74ibofwWJjjGThKgkpwFXiwV43pBarZKQgVlekhvHSVVIyUhBXV6YN49e4NRs/kKsRQ8P0FXBJQQgy7iECMcYQZ9QQwpo5psOu0CghmI0PeY0SY4cr40PjPRHBZOohGLl4zd6uw0PZ74aEY+bhxptTEjEOsUGTO08kN77jt1khYnKoPT+GWv1ox9SKpxGnNEau/6zfTGNOf6k+y/aDhd2iCIG9MypCzIU9UvcjWGgYjZEsrJKQAlzV/VgoNqSjrpKRgliJB29yl6q+spACWd2ZNg6vaWs2UjCrEUPD9BVwycEN5gUd9xiBGGOIM2qYQ4xhNGwtIpgNh+yWZ+DjmUy9PAMJz8TuDoemRyZ4zbK1PTpt2R39EPRHkh5x4rHm9PZ9bVKIrDXOGv2YmJpxNeNpxCmJUTKWWb+Zxpz+Un2W7QcLu0URAnvmlV/7sqvmi40xkoWrJKQAV4kHe92QWqyykAJZiQdvko/elIUUyOrOtHF4TVuzkYJZjRgapq+ASw5uMF8Obu/mFY0X67ZrY0TGsaa9+bDrNcwhmA6HhEYJwWy8Kxj4eCbebs/0yAjPydt1mB591nNf2G/th7/kfjxLi+lkycTa5VIYf9VCZHo51aFWP9oxteJpjLc0RjXfmcacPlN9lu0HC7tFEQJ75pVf+9Lup7map1e/PSopGSnIVeLBXjekFqtkpCCuxIM3yUdvykIKZHVn2ji8pq3ZSMGsRgwN01fAJQc3mK8Rbv/jVxJe/GHXObjE4HRl2PUa5hBMh0NCo4RgNj403hMRTKYegpGP1yxb26PTlsPQDy04wuyhpztOPLL7zmOVQsSMaa1x1epHO65WPI04pTFK/Gd9ZxpT+zT2OT7zDBZ2iyIE9owpQuy9IikJKcBd4sFeN6QWq2SkIFZXpIab5KM3ZSEFsrozbRxe09ZspGBWI4aG6SvgkoMbzNcIt3//VYDQ321XaAghmA67XkMIa+aYjg95jSE8M7s7HPIMJDwTuzv2mh4Z4Tl5uw7y0Sthp93AuyIyVQuRta+ZGn1pj0Eznkac0hgl/rO+gUZzOLXPnByXfQYLu0URAnvl67sCxCj5XjEOosSDjuSjrpKRglhdkRqGxWtIWUiBrO5MG4fXtDUbKZjViKFh+gq45OAG8zXC7d9/KRHo/7Zre3IaQlgzx3Q4JDSGEMyGQ3bLM/ARzMa7goGPZ+Lt9shH73jN3q5DuOWK02T+eNbz8j+W9WWN/qvqgZHPNCyR7jjxyO47nSqFiMl/xTFU6087pmY8jVilMUr8Z30DjTn91fEZLOzWJkWI6XwNwaExBcgs0jVxlXiw1w2pxSoLKZCVePAmd0npKxspmNWdccP45bdmIgVyNWJomL4CLrm4AV15uBmMX0r4/btyuB2yPXuNITxTuzvEcBpDCKbDIaFRQjAbHxrvBfFMph72yPjoCK9ZtrZHpy1XvOYZy32z9qBq95cZX70QOcq8asfVimfiaMQqjZHrv5h/oDGnvzo+g4Xd+qQv6YoQs7O2ABT4tE9/5kjj62y04+mG1GKVjBTElXjwJvnoTVlIgVzdGTeMX+PWbPxAriYMjdPXjFsObkBfDm4G/ksNv38rh+Hw9DUxDjEEuTLseg1zCKbDIaExhGc29fQMJDwnb7dnemSE5+TtOshH7zjNdtO1fnbBuyGtkPzxLHcCQog2MY5jJh7pIbJ81AoR03dOzrnU6k87rmY8jTil+ZT4L/oFDHL6q+MzWNitaxECcCA+7TO6guSuZ12Pmes9pGSkIFZXpIab5KM3ZSEFshoxbhy/xq3Z+IFcTRgap68ZtxzcgL4c3Az8lxp+/656hkPT18Q4Fs91vOs0zDF2ujMcEholrJljOt4VDHwEk6mHYOTjNcvW9ui05YrXHLaUj+4eZ9yr0OA0FhciZkxrj6tWf9pxNeNpxCqNUeI/62saAwY5fab6zHTvMFjYLYoQOAOmGHmyoyjsTSXpitRwk3z0piykQFZ3po3j17g1Gz+QqwlD4/Q145aDG9CXg5uB/1LD799Vz3Bo+poY5yKEGnaFxhCC2eA9bM0imI0PjfeCeCZTr+mRCZ6Jt+sgH73iOXm7HreWZz/vc2+7B2C9L63LMzrHxCM9RLJPdiFi+snJr5RafWrH1YynEas0Ron/rO9MY06fqT5x9oOV3aIIgbPiFiX34sTcGK6u+AcHyUdvykIKZHVn2ji8pq3ZSMGsJgyN09eMWw5uQF8Obgb+Sw2/f1cOw+HxSzTOxQ3nqmc4JDSGEEyHQ0KjhGA2PeQZSHhO3m7P9MgIz8nbdQi3XPGawpa2RW49KsHRak9DY9OaVYhsMQbTZ41+a8TViqeVW2mMEv9Z35nGnD5TfeLsByu7RRECMObJT+0KEkf+ctFXFlIgqzvTxuE1bc1GCmY1YWicvmbccnAD+nJwM/Bfavj9u3IYDk9fokMObihfPVJTUg6C6fiQ1xjCM7O7w6HpkQmCydRDMPLxmmVre3TacsVr9nY95JYjvRsiIk9GOmKc9OATj5z8EnySChETNyefUmr1qR1Xc35aiVPiP+s705jTZ6pPnP1gZbcoQgCWecpTnz1SNOZGC+nOtHF4TVuzkYJZTRgap68ZtxzcgL4c3Az8lxp+/64chsPTl+iQixvOlcO02c/D1QIB0+FQwMBHMBvvCgYSnonsNT0ywnPydh3ko3ecZrspW8+0hp12T5UvrafQ0LxGFSJbXQs1+9WOqxlPI5bG3JX4z/rONOb0meoTZz9Y2S2KEIA8JoWJuakk3Zk2Dq9pazZSMKsJQ+P0NeOWgxvQl4Obgf9Sw+/flcNwePoSHXJxw/nqmTZJuVhlILgOEYetWQSz6SHPQMJz8nZ75KMjvGbZ2h6dtlzxmmcsO2ZanaZnP//g74ZY+vEGZiQeMUB61IlHTmKRPrOFiImR07cGtfqtMSbNeBqxSmOUztGs70xjTp+pPnH2g5XdOkIRYsaSIwBtnvKZXUHiyF5tw2t8DRplIwWzmnBrkF8zbjm4AX05uBn4L1X8HKwchsPTl+iQixvOV4/UNM3FqpBAuOGQ0BjCM5t6To9MEEymHoKRj2fi7TrIR+84zXZTtp5p9ZoCVudGe0IameAHnvCFb37ot37RE/vdG1vnVqv/ls+hVqzSOCX+i74zBjn9pvrE2Q9Wdku7CMkZ65a84HP/dL8FsA5f+1Vf0W9FknRT3YxXuQ8jO7ktZFcgopuxScW8knOxVMopMuzYLMvpikYc2WshVlQMg1Ycw0yr0+RbPUfx3ZBW/1X1//WrnY9oPdD/2eFsjgk2eEzsAo4L8WLDzDLj88j/6f+eviMyfzHVxfRdq3/tuJrxtGKVxinxX/SdMcjpN9Unzn6wslt/sCtCzLamAGCeT//M54x0RbqZrCbcGuRXwCUXG1DSCDeH8UsVPwdXDsPh8cttUcEPaeUwbZZysSpACmflMTWRcppBMBsfGu8F8cy83R756AivOWwdbrk39c3ersdMq9cUsDofVSchELyBib8XIltfCLX6rjEuzXhasUrjlPgv+gYMzOGcflN94uwHK7tlihAA2J5rQfK0QTfMnWqXh/4r9r6PxAaUNMLNwX8p4ufgymE4PH2JDrm44Xz1TJukXKwKkUIaeUgmxTl55tMInoHE1EnwEox8PBNv1yHccsVrmrHsmGl1muxmwFL13ZCWCX1pPTQv4YY6TLrL6X/B51qIrDyuEabvWv3XiKsZUyOWxvyV+C/6Bgxy+0z1i7MfrOwWRQhAu9wKkude9RmdVDA3f0gj7FJVeini5+DKYTg8fYkOubjhfPVITdNcrAqRQlo5SM3hnIwyENzHu4KBhGcie02PjBCcZA/B0MVr9nY9Zlq9poCVw7LFodEauhgnEHyhT5WUZoJcvyPyUd53RNZCZXABtGNrxtOKpRGnJMas70xjbp+pfnH2g5XdogiZwvdEYG98zctf1G85JDxEbgvVykR2MX1KVSIivGxSKa+EsFPTCjkthBw3R/bvmcleEbGi4hgWYjnN85ZacQxji+c8/0/2W3q0+h0Rw+h7Iob+OxWzX8eI+a6GaBNwXIg3aY7p30fwEb8jshbLF2YeJq52bM14WrFK45TO06zvTGNun6l+cfaDld2iCAE4BuadElfSQ8H+n3HppYYJFZLDcHj6Eh1yccP5cpg2+7m4KkQKaeQhmYTzKkAKZ+QhN4/3RKZOgpdg5OOZeLsO4ZYrXvOMZcdMq23q5GzOsGxxBpI/nhWLGCAvqspZCgRZvRAxeagMSKBGXM2YWrFK41T1n2nM7TfVL85+sLJbFCEAx+Uznt4VJI5ui1clTKiQHMZN49fQooQb0pXDtFnKx6oQKaSVg9QczskoEymUlYPUbBU6GsQzkb2mRyZ4JmGPcMsVp9luytbzrW7TjFWPtRCsukM13g3ZHfMTeCPGJoXUeIr9r1qIaM+bxcStcU40Y2rE0sipqv9MY26/qX5x9oOV3aIIATgXT33680aKwjwwJHkMTeOX26KCH9JVj9Qk52NUiBTSykMykXMyKkAKZ+QgNVvJR60iEMyn3oKRj2fi7TqEW654zTOWHTOttqmTszlDwMJxFlpPw5nfFVmlEDH9qgxAoEZczZhaY986xuI4Zhpz+l3sTyDOfrCyWxQhADApTOxDyJXDcHj6Eh1yccP56pGaprm4KkQKaeQhmVTJSwpl5SA1G92QWowyENyFQx3TIyMEJ9lDMHTxmr1dj/lWt2nGqsdaCFbOYbv53M/i3ZA7wpRVJ7VPpRyrFiL24qpFjdiaMbViacQpibHoO2OQ0289n8HKblGEAIDEU5/RFSSO7ALavm5PkbgnzyJuOF8O02Y/F1eFSCGtPKYmFfKSQlk5SM1W8lGrDKQwRj3CoQ756AivOewhH73jNc9bz7Tapk7O5gwBC8fZ2YRcYidPtMubeZXz5QWp9rdmqSQboEZs7Zha8TTilMRY9J0xyOm3ns9gZbcoQuLhb80CGPNVL/vb/VYCEQ+rqUncEy6LhNCyaYXcIkPOmynmtVY+nknYYyFWdBzDTGtSHENcrJBVzXdDWv4bs3zW+5fWDQHnhZiT5tgcXHqfKn9rlrnIli/YfGrE1o6pFa80jvEvibHoO2OQ0289n8HKblGEAEAJn/mM5490xzxkQuqRmsLvIigghTXykEzCeRllIoWycpCareSjVhlIYYwcpGarMfOtIzyTsEe45YrXPG890+o02c2AZU/AwnF2NiGFmAmLnVTRLu+MqJxHJ4haIWJiqiQ3Q434mjG15kAjTnX/GYOcvuv5DFZ2iyIEALS5FyXPvMk8b6aqsKi3SCGtPKYmlfKSwhl5SCZGN6QWowykMFYOUrPRGMnCagHP1Nt1CLdc8Zq9XY+ZVq8pYOXgObg4hwMWE/huyDIx86hGameFyakUIrUnyMSv0YdmTK1YGnFKY8z6m8aAwUzTLPV8Biu7RRECAGvwtK4YcZX3pPMwIULykEzCBUcBUjgrB6nZSj5qlYEUxshBarYaI1kYJSK4ypEEQx+nedl6ptVpspsBy56AhePsbEYQb3kWJn97Vsz0FE1hnrPKWeuDFBUiJoZKMjPUiK+dt1YsjTilMWb9Zxpz+83xi/MZrOwWRQgAbMXTnvlZE4mYB1ZIHpJJuNgwykQKZeUgNVvdkFqMMpDCWDlIzUZjJAurBCR3qx7hUI989I7nOG/tGbt4TQErB8/BxTkcsBCwljfr537W513/hBWIO0E3UmwNqfYOWYXIcAnVpUYf2jG14mnEKY0x6z/TmNtvjl+cz2BltyhCAKA1JoVJ4AFnDo9VodgwSOGMPCQToxtSi1UGUhgjB6nZaoxkYZSIFMKoR2qyGhNuueM0z1vPt7pNC5Y9AQvH2dmMQLCMczwdoXdFWpsurXySC5E1JsL0UaMfzZiaOWrEKYmxOJaZxtx+c/zifAYru0URAgB74GnP6goSR+GCowApnJWD1GwlH7XKQApj5SA1G42RLKwSkNyteqQmozCRlp7JvPVMq23qm2csezwHF+dwwCKAZ213OzlHoZTYyRTtAs6pJyjzhEYXIiZ+Zh9J1OhDO3etWBp5lcZY9J0xyO03xy/OZ7CyWxQhALBXnv6szx4pCfMQlOQhmRjdkFqMMpFCGTlIzVZjJAujRKQQRg5Ss1EYydpoBs/M2/WYb3WbFix7AhaOs7MZgWDd77otz/tsPpaVipm3lpjkk5HgYiFiL5g1qNGPdkyteBpxSmMs+s8Y5Pad4xfnM1jZLYoQADgSk8LEPOxCcpCareSjVhlIYawcpGajMZKFVSJSCKMeqclKRrK0ikRwmY8w02qb+uYZyx7PwcU5HLAI4Fnb3U5eCyxQ9Uvrol3AeYWTNluIrND/FdNPjb60Y2rF04hTGmPRf8Ygt+8cvzifwcpuUYQAwNF5+rO7gsSRef5JuiG1GGUihTJykJqtxkgWRolIIax6pCajMJK1UQKSu5Gz6RzymG91mxYsewIWjrOzGYFg7ex6LXd4NyQfaT63ZJJPYoJiIRK6cGpQox/t/DXjacQpjbHoP2OQ23eOX5zPYGW3KEIA4Iw8oytGXN2eilYZuO6+HKRmozGShVUiUgijHqnJKoxkbRSJ5GrlbPoKM2PhBZix7PEcXJzDAYsAnrXd7eRsbs6e/lV1n7O8KzIqRExflfsbUaMv7Zia8TRilcZY9J8xyO07xy/OZ7CyWxQhAAA3nvHsF4wUxDxAJTlIzVZjJAujRKQQVj1Sk1EYydoqEsnVqEdqMlomwsNpWrDsCVh4zgErAc/R4Ox6LUF4N+R4TM57zIXQcy9EEnyKib1YU9GOqRVPa7ylMRb9Zwxy+87xi/MZrOwWRQgAQJhJYWIent4D1x7yNUaysEpECmHkIDUbhZGsjRKQ3I2cTUnLSF5GATyTBesOz8HFOTxjJSBY9odsi9c6Q7wlhJmdxdgpFu0CzhVP27UQqRh/Qq2+tONqxdOIY2KUxpn1X+ggt+8cvzifwcpuUYQAAKTxjOd0BYmj6fPXHJGUgRTGqEdqspKRLK0ikVytnE1fcUieRhF45t5ugICF5xywEvAcDc4hryWCm8fzPvt/vu1CFFkfz9qISWqRuc5+WV2bGvN3u7T10IynEac0xuJ4ZhoXfWfI8YvzGazsFkUIAEA5z+yKkbE+p2+JxDyUQ+qRmozCSNZGCUjuRj1Sk1EckqdRBJKbkbPZ7waYsXIOz1gJCJb9IdvitS7geKQ5wgL1pjMQuVKHqxQiJvca+WvH1IynEas0xqL/jEFJ3zm+cT6Dld2iCAEAqIcpRlxdMQ9gST1Sk1UYydooAcndqEdqMlpG8rKKQHIzcjZ9zROw8gIErAJ41na3k9cSgeNs6Def9wLeDVGhn9ZZYmwMsXaRTMJFxK9eiCiP8Y52XM14GrFKYyz6zxjk9m38cnzjfAYru0URsh57/ptHAECPa0Hy3EH2ue8qjGRtFYnkauVsSlpG8jKKQHKzcjZ9xTPj5RyesRIQrJ1dryUCz6Pf9Y5CIpOPZ61C4IxVOJFVC5EaF16NC1ornlZupTEW/WcMcvuu6zdY2S2KEACA7XlWV4y4umGe1JISkNyNeqQmozgkT6MIJDcjZ1NSGpERnKYZKwHP2u52cjYj8TycXefo5fm8G1IFO78is40OsXaRTMItxK9SiJg+lcd1RTumZp6txFn0nzHI7buu32CV2w8AAKzDrSB54V2LmAe7pB6pyWgZycsqAsnNyNn0lYYUwWoGx8zZjECwdna9lgg8j37XHnVaQIFtvrQe6ES5b/VCpNbcaMfVjKcVqzTOov+MQW7fdf0GK9eed0MAAPaBW5RcCxPzMHflbEpaRvIyikRyNXI2faUhRTBaQHLp5O7GIVj3h2yL17qA59HvekdH8G5IXULzfmW20SHWLpJJuJn4aoWI6UN5HHe042rG04ilMXeL/jMGuX3X9RusXHuKEACA/fKs53UFiaP43yPGUlIEkpuVs+krDSmC0QKSSyfh0FVxCB7OIa8lAsfZ4Ow6R5vj8N9tXGXiA50o9q1SiNSaCxNXO7ZmPI1Yq8SYMcjtv67fYOXaU4QAAByLZ3fFiKvbU19SBJKbkbMpKQ0pgtECkksn4dBVeQjeziGhdQHPo9+1R52WILwbosfcl9ZjzsUiKkEGJuEC8YsKERNTOe872nE1c9WKVRpjMY8Fg9z+6/oNVq49RQgAwPF59vM+dyQR88tBkrPpKx0pitEMknkv4dBV5QjRnEPOZiSeh7PrHIU90fhJyy5Eao5LO7ZmPK1YpXEW/RcMcvuv6zdYufYUIQAA52RSmPS/HMwfktKQIljNIJkbOZu+ypGiGjk4h4TWBTyPftcedVoieYh3QypQ/UvrYrxAJxF9T0wEn+RCxMSI6DuLGrE142nFKo2z6L9gkNt/Xb/ByrWnCAEAAMuzn98VJJ2e42gZ81tF0gKSi5Gz6ascKaqRh2Di7sbjefS73tEE8j2hjNlZb/iUJBUiNcdRI7ZmTK1YpXEW/RcMcvuv6zdYufYUIQAAsIRblNwKE/ObxNUCvrmVs+mrHCmqkYdk0kk4lIDn5ew6RxOYBnj+C/6UaYA1MHNenUAnEX1PTLwDUYWI8YnoKxvt2Nr5asTSyGnRf8agpP+6foOVa08RAgAAOTzn+X9ypDvml4wg4dBd5UhRjTwkk07Coavy8Lz7XXvUaYnE8eo3nSNQiewvrceemJVP4GwhUvuCqhFfM55WfqvEmDEo6T/H1/jE+Q1Wrj1FCAAAaHEvSj7rJvs7ykoHP6qVh2DykJHcpIAXzdl1jibiePabzpHLZ30O74YcE3uGPQKHXSYmzoFgIRIRt4ga8TVjasXSiLMYY8agpP8c33ifwdL1oQgBAICaPLcrRlylYX5jSfIQTEIFhz5CdGfXa4nEenWyfwybsDXaJ2HFkzopRNa4qGrE14ypFUsjzmKMGYOS/nN8430GS9eHIgQAANZGLkzMbydJHoLJNgWHqx7nkLOZiOPVbzpHJvBuyDpU/3hWkECAiLgTk/7AqBApzi8C7T5MPM2YWrFK40SNa8agpP8c33ifwdL1oQgBAIAWuBUkn3fXFfMLy1OLBYeVn1s6jme/6RxpnsP/q+oS2idnpZN9LUTWuLhq9NFqvNI4Uf4zRiX95/jG+wyWrg9FCAAAtMq1IPnsQeb3V87vymVsZF89QpNuMeREsH8Mm4vwbsi6HOJdkY7ZL6trUTxmAc2YJpZGPI04i/4LnZT0n+Mb7zNYuj4UIQAAsCee1xUjrtIxvwUl9QhNdd99caL1m84R2BPaJ22Fi6B6IVJjDJoxtWJpxFmMsWBQkkOOb7zPYOn6UIQAAMDe8QuToTgxv/Ek9QhN633cy+BE7zedI0nwbsjOyDnJIwIBIuL6JtUKEdNR8Tg9tGNqxdKIsxhjwSA3B+OX4xvvM1i6PhQhAABwVG4Fyf981/2Xba91Cw6D0Jv9Y9jMJN8Tysj+eFYKlU9vlUKkRs7aMbXiacRZjLFgkJtDfb/B0vWhCAEAgDPxvBd0BYmjepjftpKczV52Mw8vELTDaucj0FFE/66JeiFSY/zaMbXiacRZjLFgkJtDfb/B0vWhCAEAgLPz/K4YcZWO+c0qydnsdX3Hw8hryqP3tn90+qwXfv61BbZhuy+t66BWiPTXpDqaMTVz1IizGGPGoGQs9f0GS9eHIgQAAGDKfGFifpP6cjZ76RYcPn208R/QKtonJzVehL01USlEalyMJqZmXK1YGnlFxZgxKOk/1zfeb7B0fShC9s8p/152AIANGBcmf+r2C7VX3YLDp48+/uPOZ/NuSPO452vCbGMMxQHKC5HyFKZox9SKpxEnKsaMUUkOub7xfoOl60MRAgAAkM/zP+dP3VX/b6gyv8F7mf9uf1wFbTL38Sw1Ui+ASPuiQqTGRakdUyueRpyoGDNGJTnk+sb7DZauD0UIAACALqYYcVWG+a3tyP7Rb4Zo9d0Q3r3vmTt5LrF2QcoCZBUipsvivAW0Y2rF04izGMMYzBiV5JDrG+83WLo+FCEAAAD1iStMzG9oT87bHf5HvuA4qJ3P1EAR9smFSI2L08TUjKsZTyPOYowFg5Iccn3j/QZL14ciBAAAYBsmhYlUcAyHRr+/Y+C7Ie0hfjwr9cRmk99RUiFSYzzaMTXjacRajLFgUJJDrm+832Dp+lCEAAAAtIP5K3atTBFBIXE+Ztd2KQvGFFvDgn1UIWJipPYbg3ZMrXha412MsWBQkkOub7zfYOn6UIQAAAC0jy1IUgsTiph2WeVL60HyVp6LhUjugnYJ7bha8VaLs2BQkkeub7zfYOn6UIQAAADsk7jCpGR1ApsQe8pSTm3qZTBjHyxEjE9qPzHUiKsVTyNO1PgWDEryyPWN9xssXR+KEAAAgOMwKUweeqj780/3rbBHStaXcaT3IBYitRLVjmviacXUiBMVY8GoJI9c33i/wdL1oQgBAAA4Np/9uRQhe6DoS+u5C8kYArFHhYixqZWDdlzNeBqxomLMGJmmkjxyfeP9BkvXhyIEAAAAYB+UrDVHBAOl9XAvRNQSE9COrRlPI1ZUjBmj0hxy/eP9BkvXhyIEAAAAoC22/dL6DMLC81qI5C5klzBxtWNrxdPKLSrGjFFpDrn+8X6DpetDEQIAAAAtwb+qPkPswi9lYRm0jQ8S/LJ6KSnjiMHE04q5WpyFpEvzyPWP9xssXR+KEAAAAIB9Urr+1KRKIaI9QM14WrEW4ywYlORhfHP94/0GS9eHIgQAAACgbVb70nqKrcGzVy9EUvNZQjOeVqzFOAsGJXms4ztYuj4UIQAAAAD7p2Q9GUdcD2qFiOlOe1Ca8TRiRY1xwaAkj3V8B0vXhyIEAAAA4CSkLDpTF6iOvUohktp/DJoxNWJFxVgwKsljHd/B0vWhCAEAAADYF0sfzypZW8ax3ENxIaI9CBNPK6ZWrKgYC0YleazjO1i6PhQhAAAAADBL6mK1ty8qRFL7XEIznlasqDgLRiW5rOM7WLo+FCEAAAAA+2X7f2l9PkhWIWJCquTmoBlPK1ZUnAWjklzW8R0sXR+KEAAAAIBjU7LW1CC5EKmRsGZMrVhRcRaMSnJZx3ewdH0oQgAAAAAOTOxiMWVBGrQNB0kqRFJyiUUzplasxTjGYMZooXmRdXwHS9eHIgTm4F+tBQCAFuH3Uxjx41kOJevOUqILEe0kTTzNmFqxFuMsGJTmUeIf7ztYuj4UIQAAAAAwImVxGrSVGxYLEeOW0n8MLcaLGueCQWkeJf7xvoOl60MRAgAAAHBMir60XpHZQqRGfpoxTSyNeFExFoxK8yjxj/eVLSlCAAAAAM5L6Tp2RDDYtCFYiKgm1KMZUytWVJwFo9JcSvzjfceWdo8iBAAAAOCkxC4kSxarM4iFSI2+NGNqxYqKs2BUmkuJf7zv2NLuUYQAAAAAnINVv7QeDDZuGBUipkk1iQ7tmFqxouIsGJXmUuIf7zu2tHsUIQAAAAAQTenCV+BeiFSIrR5TK15UnAWj0lxK/ON9x5Z2jyIEAAAAAK44y8WS9emEiGDXQkS10x7tmFrxouIsGJXmUuIf7zu2tHsUIQAAAADnZOnjWYuULoKvDEGCX1YvQSXHHhNLK15UnAWj0lxy/Y1fvO/Y0u5RhAAAAADAhNwFaiHqhYjmOLRimTiLsSKMSvPJ9U/zG1vbPYoQAAAAOCL8q+pptPSldbVCxITTTFwrVlScBaPSsZX4p/mNre0eRQgAAAAAqJC7qBV44Alf+OaHPvKLntjv5qGYzxWteFFxFoxKcynxT/MdW9s9ihDQ5gWf+6f7LWiZlP9DyDkFgD3DOyLp/K9fHXhX5IH+zw5nc8pso4Bg/26f9K/KC5HShbqPVryoOAtGpbmU+Kf5jq3tHkUI1IBFa122+IXKOQWAPUMhkodYjMQWIoaUYqRGIVK6UPfRihcVZ8GoNJcS/zTfsbXdowiBWrBoldnzL0LOKQDsGQqRPJbeFVEtRAyefVEhUrpQd1k91oJRaT4l/mm+Y2u7RxECNTnaopVfYBQiALBveI7ns+W7IlmFSOki3UczXlSsBaPSfEr803zH1u4ehQjUpJVFK7949KAQAYA9w++DfFYtRAyOfXIhUrpI99GMFxVrwag0nxL/NN+xtbtHEQK1KV208gujPShEAGDP8Hslny2/tJ5UiJQu0n204kXHWTAszafEP813bO3uUYQAQA4UIgCwZyhEytjqXRFTiET9OyKli3QfrXhRcYzRgmFpPiX+ab5ja3ePIgQAAAAAVChdHEeyWIho56EVLypOhFFpPiX+ab5ja3ePIgQAAADOCO+G1GdxvVqwGA4WIiZmQdwJmvGi4kQYleZT4p/mO7Z29yhCAAAAACCXv/TUwPdEShfKIZy4YiGi3a9mvKhYC0amuTSnEv8037G1u0cRAgAAAAC1WVy7Zi6MJ4VIZpwgmvGiYi0YaeRTEiPNd2zt7lGEAAAAAIAGwXdFatEvakeFSMkCW0IzXlSsBSONfEpipPmOrd09ihAAAAAAqI6zAC1ZA4e4FyLawTXjRcVaMNLIpyRGmu/Y2t2jCAEAAACA5shYKF8LkZIFtoRWPBMnKtaCkUY+JTHSfMfW7h5FCAAAAADUYPUvrXeIX1bPxeSplWt0nAVDjXxKYqT5jq3dPYoQAAAAANiSxXVt4qJZrRBJ7HeW6FgLhho5lcRI8x1bu3sUIQAAAABQm7W/tK5SiGgs+C1RsYzRgmFpThFdzJLmO7Z29yhCAAAAAGBTnMXp4ho3YRFcXIgk9LVIVKwIo9Kc1vUfW7t7FCEAAAAAMvyr6vunqBApXbC7RMWKMCrNaV3/sbW7RxECAAAAAGuz5pfWswsRzVyiYkUYlea0rv/Y2t2jCAEAAACAVllc80YuipMLERM3MnYUUbEijEpzWtd/bO3uUYQAAAAAwBlIKkRKF+s+UfEWjExzaV7r+o+t3T2KEAAAAADYmpiPZy2ufyMWyNGFSESsaEysqHgLRho5lcZI8x9bu3sUIQAAAABwJqIKEY0FvyU61oKhRk6lMdL8x9buHkUIAAAAALTEGu+KLBYiix0kEB1rwVAjp9IYaf5ja3ePIgQAAAAAzshsIaKx4LdExTJGC4YaOZXGSPMfW7t7FCEAAAAAcFaChYjGgt8SFSvCSCOn0hhp/mNrd48iBAAAAABapvbHsyaFiLFdDJhAVKwII42cSmOk+Y+t3T2KEAAAAIB8+FfVj8GoENFY7LtExYsw0sirNEaa/9ja3aMIAQAAAIC9UPNdkXshshggkah4EUYaeZXGSPMfW7t7FCEAAAAAADeuhYjGYt9iYkXFizDSyKs0Rpr/2NrdowgBAAAAgNMiLKqDX1bPIXrRHmEYHWuG0hhp/mNrd48iBAAAAAD2isrHswTUCpHozhcMTXPOQHxKY6T5j63dPYoQAAAAAIApKoVI9KJ9wTBt8R+mNE6a/9ja3aMIAQAAAIBD4yx+F9fQnkFxIbLYocEYLRhGxVkgoptF0vzH1u4eRQgAAAAAHIXgx7MKKCpEohbtEUZpi3+Z9WOMrd09ihAAAAAAOA0pi2jHNrsQieovwigl7xDrxxhbu3sUIQAAAABwRGLeFUlZU2cVIlEdRBilJBpi/Rhja3ePIgQAAACgLvyr6gegX0AnFSLGJ2rRHmEUFWeB9WOMrd09ihAAAAAAOC3Owjh2fR1diEQv2CMMo2PNUBrD+KfFGFu7exQhAAAAAHAGNL+0HlWIRC/YIwzTFv8ypTHS/cce7h5FCAAAAABAh7NIjllvLxYi0Yv2CMPoWDOUxkj3H3u4exQhAAAAAHA2tN4VmS1EohftEYbpBcCU0hjp/mMPd48iBAAAAAAgn2AhEr1oXzA0zdGxZiiNke4/9nD3KEIAAAAAAAScRfPS+lssRKIW7cZowTAqTgSlcdL9xx7uHkUIAAAAAJwdjY9nTQqRqEV7hFH64l+mNE66/9jD3aMIAQAAAABYwFlAz63F74WIMZozvBNhFBUngtI46f5jD3ePIgQAAAAAQI9rIRK9YI8wTF/8y5TGSfcfe7h7FCEAAAAA28O/qt4WpR/PCn5ZfULEyr60eLCUxkn3H3u4exQhAAAAAACJOAvq0No8rhCJWNlHmERRGifdf+zh7lGEAAAAAACEKXlXZLkQiVjZlxYPltI46f5jD3ePIgQAAAAAoABncS2t0+cLkYiVfYRJFKVx0v3HHu4eRQgAAAAAQF3ChUjEyr60eDCYGKVx0v3HHu4eRQgAAAAAQDyxH8/y1+zTQsRYRKzsI0wW2SbG2MPdowgBAAAAAFBkZrE+LkQiVvXGJMJskW1ijD3cPYoQAAAAAIA8cr60PhQiEat6jeLBoBEnPcbYw92jCAEAAAAAqISz8HbX4LdCJGJVH2EShUac9BhjD3ePIgQAAAAAYH3CX1Z3oAgBAAAAgC3hX1Vvn9QvrS8WIhrFg0EjTnqMsYe7RxECAAAAALASwkJ+thDRKB4MGnHSY4w93D2KEAAAAACAbQkWIkctQgAAAAAAoA6zH8/yFuViIaK1cNeIkx5j7OH7824IAAAAAMD2TAoRihAAAAAAAMgl9l2RUSGiUTwYNOKkxxh7+P4UIQAAAAAA7XAvRChCAAAAAABgLa6FCEUIAAAAAABoEfPxLPHL6jlQhAAAAAAAQCwqhQhFCAAAAADUgn9VfZ8s/UvrxYUIRQgAAAAAAKRSVIhQhAAAAAAAQA5ZhYhZ/FOEAAAAAADAHHMfz0ouRDQKEANFCAAAAADAeUkqRChCAAAAAGBN+KL6cYkuRChCAAAAAAAgldDHs6IKEYoQAAAAAADQZLEQoQgBAAAAgC3gY1nHQXpXZLYQoQgBAAAAAIAaBAsRihAAAAAAAKiFWIhQhAAAAADAlvCxrOPhfzxrUohQhAAAAAAAQG1GhQhFCAAAAAAA1MJ9V+ReiFCEAAAAAEAL8LGsc3AtRDSKEBODIgQAAAAAAGIQv6yeSl4hQxECAAAAAHA27MezigsRihAAAAAA0IKPZZ2HokKEIgQAAAAAAHLILkQoQgAAAAAAIJesQoQiBAAAAAC04WNZ5yK5EKEIAQAAAACAUpIKEYoQAAAAAADQILoQoQgBMJirOFYAAAAQCx/LOh9RhUjekmrs5cegCIH62IJAUylI/kYAAAAAsFiI5C2bxl5+DIoQmGIX6ZpqFSlXIwAAAIDzMFuI5C2Nxl5+DIqQI2AXzpoCeV6MAAAAjg0fyzonwUIkb/kz9vJjUIRsgV3MagrWRToHRgAAAAD7RSxE8pY4Yy8/BkVIDHaBqSk4LtL5NgIAAABon0khkreMGXv5MY5ZhNhFn6YANJCuLSMAAID24GNZ52VUiOQtVcZefoztixC7CNMWwN6QrmMjAAAAgPW5FyJ5y5Gxlx8jvQixCyNNAcA83DcAAACwPtdCJG/ZMfbyY/zBL/lL3U+7qIkVQCHSZRUSzCBNmBEAAIAefCzr3IhfVl9mvCDxlye3IgQgAneNq6EUJH8jmEGaMCMAAACANDIKkfGiw1+CUIQcGHfdqaUWkfI0ghmkCTMCAACQ4d0QSCxExgsLf5lBEdIQ7lpQS2eHOclAmjQjAAAAODsJhch48eAvJShCCnDXZ1qCdZDm3ggWkCbNCAAAAM5CZCEyXiD4y4XTFSHuuklDcDyk82wEC0iTZgQAAEeCj2WBIaIQGS8C/CVB80WIu5bREkAu0vVkBAtIk2YEAAAAe2WhEBn/ovd/7asXIe76QksAe0C6do1gAWnSjAAAAKB1ZgqR8S9z/1f7H/zLXRHi/t7XEACM4T7JRJo4IwAA2Bo+lgWWQCEy/oXt//q+FiEAsA3uutoVRCBNnBEAAACsjVCIjH8p+7+iKUIAGsVdV7uCCKSJMwIAAIBaeIXI+Bev/2uYIgRgh7jralcQgTRxRgAAkAMfywIXpxAZ/3L1f9VShAAcDHddbQWRSJNnBAAAALH0hcj4F6j/65QiBOAkuGtqVxAJkwcAABDL5Dsi/q9NihAAmKytrSACaeKMAADOBR/LAp9RIeL/aqQIORf+MklbcECkE20EEUgTZwQAAHAO7oWI/+uPIqR9/OVLqWoj9WkEB0Q60UYQgTRxRgAAAMfiWoj4v+IoQurgLytKdRSOPDbw4GQXIE2eEQBA+/CxLJCYfEcEbki/7ksF8UjzZwQHRDrRRhCJNHlGAAAAbTMpRPb6boj0a7hE0CbSuTKCAyKdaCOIRJo8IwAAgDYYFSJrFiHSr8cSwbnhmjgR0sk2gkiYPABYFz6WBSHuhchcESL92ioVQG2k684IDop0so0AAACgSa6FyCd2RYj0+9sK4EhwjZ8MTjgAAECT8GV1gA5prWoEB0U62UYAAKAKH8uCOShEAGZgrXoypBNuBAAAAOpQiAAkIq1TjeDASCfcCAAAALKhEAFQQlqnGsGBkU64EQAA8LEsWIRCBKAyrFNPCCcdAABgEQoRgA2Q1qlGcGCkE24EAABwUihEABqCdeoJkU66EQDAjuFjWRADhQhA40hrVCM4ONJJNwIAADgIFCIAO0VaoxrBwZFOuhEAAMDOeOAJX/jmh/6XB9/U7wLAEXmg/xNORsaJf8Hn/pl+CwAgDz6WBTF80ds+kXdEAM6A9D/QjeDgSCfdaIYv++tfchUAAEBtKEQATkziGhWOgnTijRxsQUJRAgAAteCjWQAQBR/vOjHOyeejWwAwBx/Lglj4aBYARLPwP9DhyDgn/cv+jy+5CgAAoBQKEQDIxlmfjgTHxxYkFCUAAJALhQgAqCMVJ0ZwTChIAMDAx7IgFQoRAFgNipNjw7skAACQAoUIAGyKVJwYwb6hKAEAgCUoRACgSShOjgMFCcDx4WNZkAOFCADsBqk4MYJ9wLskAADgQiECALtHKk6MoF0oSgAAgEIEAA4Lxck+oCAB2Dd8LAtyoRABgFMhFSdGsD28SwIAcC4oRAAAOihO2oKCBGAf8G4IlEAhAgAQQCpOjGA9eJcEAOC4UIgAACRCcbINFCUAAMeCQgQAQAGpODGCOlCQAGwPH8uCUihEAAAqIhUnRqAD75IAAOwXChEAgA2gONGHggQAYF888IQvfPND/8uDb+p3AQCgNR7o/4R0XvAn/0y/BQCa8LEsKOWL3vaJt0Kk3wcAAAAAAFiBy+X/DxPV5bTSqgBBAAAAAElFTkSuQmCCmmCEcqfto3WkikwYepoeZZNxj0+HIw7eNG1Nj97I+isSMayphNVCZNYajlicH2vR2fWXblDUPpxwGpHSPFx6xO1Va46avCN8RPaDCMKNK2knshYAADgBqhkx+siPebYebUBdYG15bFP32XiI5c6EiU/ToyxsV8I9M70Qn7lhTafjRLCc4v6KyAzbX5GIoUn7G/KZZqf5n/LtyK0R6bXFPeK2xqz1H/UxLM0jYk8MSq83HW+dNTa4GwIAACGqGTFioS6qtjy2qXGNhz+FxoOeYZFwtaeI6YW8xQ3PhLZOxGH5KzIxNHF/RSSGNRyxIOBZHRZredmVlm5F1N6duDYipbG59IjbGrPWf7RfL2Z8T/wIaEIAACCP3ZTcGhN1ObXlsU3t13hQI9UwQrkm7lE1mTDx6fgMi4R7YkqTtwjwTGlPevRG1t8QmbGc0v6KRAxN2t/gZdIvj/wPrsx6V4T8ZfVWvLdPjNaYtf4j/Up9SuyjtsQEN2673TbDjQUAACDk2pA8fZNCXVdXofFYVUkmTHw6PsMi4Z6Y0uQtohAudIREXC9G3NIztGH5KyIxrOGIBYFntRx+3Cd8ij44IdZys/vD28CNqP02Id6IlNbIpTVur7pi1OQr9Smxj9oSE9y4knbGBndDAABABtWMfNRNH69HK1EXaVsW4VQ4Ug0jVGjiHlVhhyDCxKfjMywS7okpTd4iSsKVGFqgR29YU3HLRAxrKmGlScTQf6T9DZ4l3/EwzHhXRLQR6fV+tcZt8a/xHeHTuidXRIKkSadwZ9GEAABAP1QzYpRFXZ5tWYRT4Ug1jFChSThSTCZEfDo+wyLjnphasGdpiygJ18SUhh69YjnF/RWZGJqE1UIkgzWc9rfxLC1/fowDYy0yu97SDYnarxNijUhpXVxa47b491qTT+88JfG5tu01bxF6rx8AAICL3ZRcGxN1IbZlEU6FI9UwQoUm4UgxmRDx6fgMi4x7ZnohPRvFdvNcE1MeCQtvKh6HFyNhpUnE0H+k/Q2epXXI8z8es90VEWlEer1ZrXFb/Gt9R3xwS3JEbYkJblxJO2ODuyEAALAfH/WxS0NiSV2bjbZX20g1jFChSThSTCZEfDo+wyLjnpleyFtEibjZw96UB9PSmkpbRmY8p7i/wjM2WMNpfxvP0vLnxzgR1qKz6y/doIR9cyPS683qFZdDbe4av1KfEvuoLTFRU3uKdDx3Fk0IAADMxUcvzcim5+jRCtTl3hZBaBKOFJMJEZ+Oz7DIuGemF/IWURKukWEP2yptecUzi3sk4nn+8RiKdIy8v8GztA55/kCSpkak1xsmEbc2xki/Uh+JfWkN0l7DFkFkPQAAALqjmhGjJOrCbosgNAlHismEiE/HZ9gk3O0pYnohbxEl4ZqY8uBZOXjmae/IjOWU9ldELKzhtL+NZ2n5x2I8W/+LWUf+p3t9on89i7+RZbaKiH11I1Kan4tE3NoYI/1KfXrac20l7YwN7oYAAMCxsJuSa2OiLuhGBPb0ahKOFMMIQU/bo+4Mm0SIxJQmbxEl4ZqY8uBb3ki4xCMQxgZrOO6viMSwhiMWBJ6ldcjzvz9G7UtVI9KrOIm4oz9QNfl61xiNT0xwa5Gxc2fRhAAAwPH56GcsDYkldaW35R6tI8UwQsRN6FE2trsXIjGlyVtESbgmpjz4lg4RF3vYm9LEZ+yphJUmEUOT9rfxLPWh+oMf43zMclekuBHp9aZJxG2J0WtdEpTUFrUlJsauecs2Ni+YjTPd3gYAhHzM0ozYqkL9oLBFEDeJz7DIuCemFuxZ2iJKwjUx5cG3dIi4RYYjJCysqXScSCZrOGJB4Flahzx/MGKfihqRXgVJxG2JUetb41fqI7E3rUG47hw7Y4O7IQAAcB98zDM+4aYk6geEEYE97ZrEZ1hk3DPTC+nZJAnXxJSFbZW2dEi4RYYjZKytqYSVJhFDk/a38Sz1ofqjLAbf+oiI/FO+pVvk2bMbkV5vhUTclhi1vjV+pT497bm2MnbrrLFBEwIAAPeJ3ZRcGxP1g8HIw55yp+MzLDLumemFvEWUhGtiyoNn5WC7eG6JqQhMa2s6bRmJZQ1HLAg8S+uQ528osz4d3hb2hNWI9ChCxZSI2xKj1rfGT2KtKaLxiQnpWtLxeq8cAADAUfmYZy4NiSX1E8Nowx51Z1hk3DPTC3mLKAnXxJQH39Ih4mIPe1MRCj0ss7xHZNYaTvsbiEz6kJhJ4Fo/+xP+in4FkvA3eMWyzzYipbE59IhZSm0NNX69faK2xIRI3ApMLNwNAQAAEOPpSzNiq+onkXKx5ZGZXshbREm4JqY8+JYOEbfIcIJyD8o87ekZG6zhiAWBZ+XF4GNZWzEUZ/7dRs4vrZftYxnJRqRHYsmYPTdmT0TW1RiE6562W2eNDZoQAAAAJTz9mZ/oKIr6QWPkYU8R0wt5iygJ18SUB9/SIeIWGU5Q7hFzIYYIIrNenDxEJn1IzCTwrK0YoCN6g8lGxHtLxJCM2RKr1rfGr9Snpz3XVsaudCUAAABAGqcpUT9mjCzsYW9Kk7eIknFNTHnwLW/YLp5bZDhBoYdtbrlEhiNErKzhiAWBZ+XF4GNZ6xj6j7tC5K5I5aYFjUivzZeM2xKr1rfGr9RHzJ6YqKlfApMXd0MAAABI8vRnLQ2JJfXzhv5ZZ2biFkkSrvYUMW3Bt3SIuNjD3lSEQo+IeWSYQcTaGubFIzLrQ2ImgWdtxQBjcRqRXm+AZNyWWLW+NX699tIQjd+YmOuetltnjQ2aEAAAAL352KUZsbX+FOL+VLMwboR7YsqDb+kQcYsMJyj3oMztIWuYQcbTGo5YEHhWXgw+lrWOof+4a/a6K3JrRHq9AZJxW2LV+tb4jfIJiAThxpaxE1kJAAAA0MTHPuuTHEVRP7ZsWSSmPPiWDhG3yHCCco+YCzHEhOlpTfNyEDH1ITGTwLO2YlB8/CfiX8wawbUR4b+JZUjGbYlV69trX3xK85TYj1rDypbNvMLdEAAAADPgNCXqh5SRhT3sTXnwLR0SbpHhBIUetrnlEhlmUODpmTE8NJ6VF4OPZa1j6D+AxR53RchfVpdA8s090geltFYxe2KiJDbXlmNnbNCEAAAAmJGP/bilIbGkfm7lf74Zq7zlDdvFc0tMRSj3oMztIWuYQaEnYcr0XCAs9SE/hsKztmJwOfM/3TsDXRqRkjc4R2usWv8aP8l1U0TjNybmuqfteq8eAAAA6MMzlmbE1or6uWaLScTFHvamIpR7xFyIISYFnrapNieGGHiWljM/hsKy1jH0H6AGbzuTFGyyeCMi+Qa3xqr1r/Eb5RMQCcKNLWO3zZpXuBsCAADgqKwNyYM3JVE/+GxpIsMZCj1sc8slMsygwDNiSgwxIbz0YVk8z9qKAfJE/3pWJ0QbkZne5NpaavxG+JTY1669FZMXTQgAAIAz4TQl6oedLYvIcALbg+EVMY8MMyj0JEztIWu4EM/TClYW07KujqEo9wAezC0Ua0Sk37KWeLW+oz52pXmi9sRESWyubdquJCMAK/g7twCAo/KMZy8NiSX1U9Aoj23N84iZR4YZFHjaptqcGKokEkUfEjMJPOuqGIrV4+M/8VPXwztF5JfWmYg0IlLFGFriSdeSo3e+aPzGxFz3tN02a17hbggAAIB74plLM2LLRf10tMUg4hIZZlDgGTElhipJRLKGidkElnV1DEW5B8jA2NLmRkT6bWuJN9p3lA+XnrFTmLxoQgAAANw7bmPyXD2aQP0QtaWJDDMo9CRM7SFruIJMJG8qYhXBs66KobA8yp1Py6i7Ik2NiPR7tdd7X5N3hE/Unpgoic21TduVZAQAAADuE9WMGN1QP0KNNPaQNcykwNM21ebEUAOJSPaUnvYOmVjWlnNZDIUXZ/vjCv4asQCZN6W6ESl/s9O0xqv1l15HjNI8UXtioiQ21zZtt82aV7gbAgAAAKS5NSUfv0r9DDUqw/bMeEdMiaFK7EhENGKKGGJCBNJ/1MXSfyyqi3FuRtwVqWpEpN+o1ni1/qP8xOxrC9Y0ugeYeGhCAAAAgHKetTQjtuKon7i2MhCm9pA1XEEmEjFNDFXgeerD8nhWFdUxQBGJDX7gyZ/7kw+93+f9Pn2YR/rNao1X6z/Sr9Qnak9MlMTm2qbttln1Ck0IqOUTn/vp+hUA+b8Cgc8LuEde+LVfoV9lIH5wc3/m88hE86ZlcyusiPplXQ7XmYrxnE/a/sUs/NWsy+WzXpL4/4o8oP9csF7SEAZv/UH/oqwRqXvT47TGa/Gv8R3hE7UnJkpic23TdtuseYVGBNSCL5b3g8QPc3xeALAak8gPa+7P+jyZSMS0XG5DPEl5LssjEwONSEi0GSlpRBSeUVEjUv6mp2mN1+Jf4zvCJ2ofmeDGl7NbLYwdmhDQAr5YnoNRP6jxeQHA5YVf8xXsn+88EtGIKdnchkhUPVyX0/JaXuZioBEJ6XVXhN2I1L3xcSTi1cYY5SdmH5koic+1Tdtts+oVmhDQCr5Yzs9MP4TxeQEgzQuWxqSMzLcDYjrjUUEiojdVntvy0C85MdCI0PS4K8JqRMrf+DQS8WpjjPQr9YnaExMlsbm2abtt1rxCIwJawRfLfTnaD1h8XgAoI2xMMt8IiOmMRyWRqN5wW27LW7/kxjONCJoQlx53RbKNSNuHIEQiXm2MkX6lPlF7YqIkNtc2b7daGDs0IUACfLHsxxl/gOLzAkAbL/iaL9evLLwvANzvDWUkoorntyLol6Ux0YjEkb4rkmxE2j8MLhLxamOM9Cv1idpHJrjxS+pI266zxgZNCJACXyzruNcfjvi8ACDHC56/NSUl3xd4JCJ6U7K5rWj6ZWl8/LWsNJxGRJFtRnKNiOwHQyZeS4wa3xE+UfvIREl8rm3abps1r9CIACnwxTIEP/ji4PMCQD++zmpM6oh8m/CG0985WtCR3T+KQSOSR/KuCNmISH9IJOK1xKj1LfWryRP1ISZK4nNt03bbrHmFJgRIcm9fLPFDrQ00IgCMI9+YJL5BeFPp7xqtWNH1y/p8Dy2NyKfp17hmx+jaiEh/WCTitcSo9a3xK/WJ2hMTJbHlbNdZY4MmBPTgLF8u8QOrP2hEANiPtTGJfGvwhtPfLVohouuh+rxbgOc8iEYkh9gvrS+89Z+zGpH6N5BGKl5tnJF+pT5R+8hESXyubdpumzWv0IiAHhzhyyV+GM0BGhEA5uDrnv9lwZcI7nePOojo1lBbbu29/KFefQIaERZSd0VujcgfIn5ZvYW2D8VGbZyRfqU+UfvIREl8rm3abps1r9CEgF7s/eUSP2iOAxoRAObka796aUxEIb6leEPp7zEcdAT3j1sjgp8NaaTuinRpRNo/HCstcWp8d/chJkriy9mus8YGTQjoSc8vl/hBci7QiABwDOoaE+KbiTWU/t5Sio62/GHHxd2QMiTuiog3IlIflJY4tb41fqU+UXtioiS2nO02a16hEQE9qf1yiR8S9wcaEQCOCd2YEN9GvKH095UarIjLSz8+GpEyJO6KiDYiUh+Ylji1vjV+pT5R+8hESXyubdpumzWv0ISA3vhfLnHxBzHQiABwfL72q79Uv9JYX0y432Xq0NHdPxzQiJTTeldErBGR+vC0xKn1rfEr9YnaRyZK4nNt83arhbFDEwIAmAk0IgCcj6/5Kq8x6YL+ZrP8kfouhEaknNa7IqoReZh+XU3qTR1FbQ01fr3XWxJfrpbeqwIAAAAAcFH/A0FbcqjvNVrWH2A+mhoRyTe1NtZIP1Gf2sIrSKfaZs0r3A0BAAAAwGjqGxP1DcYS8RLI87c/MnFHxNr01P5XNyKSb+pZPyDRdUUmSvaBa1tqhyYEAAAAADOQbkzUNxej7eVDStshC/y1rP2oakS4byyHlli1vjV+pT5R+8hESfya+mnkIgEAAAAA9MRpStRXGC27+QBjSd4VsYi9N8WNiOSb3BKr1rfGT3LNFCXx5Wy3WfMKd0MAADOCX1QHAPg858FPu8m+owEmgvGltagRKfkSnKMlVq1vjZ+oT8uiC+GmMnZoQgAAAABwVFQzYguMo+WuCLsRkfwO3RKr1ley/hTRPJGJkrrk1jBqNwAAAAAAxoPGZBIyXzlZjYjk19YjfQUurTVqH5koiS9nu82aV7gbAgAAAIAzQzcl6ptQyTcsEKP2rki2EZF8e1pj1frX+Emum6JXfG5cY4cmBAAAAAD3xNaUfPpVoDOJL6fJRkTyy3JrrFr/Gj9Rn9aFL3BD5O0EigEAAAAAOCH4p3vHE21EJL+ytsaq9R/1tTuaJzJRUpfcGrZI5hXuhgAAAAAAAAlq/geHZCMi9+W3PVat/yi/qH1koiS+nO02a16hCQEAAAAAAHsSNCIlX35ztMaSrIVD73y94nPjjt5PAAAAAABwP5TeFXEaEckvqnt+6a3JLeojsHi5/Qsj4W4IAAAAAADYm1sjIvfFVyZWbYwaP1GfyERJDjnbbda8QhMCAAAAAAB6wb0rorg2IiVffHNIxKqNIbmOFKV5etXFjTtqXwAAAAAAAOBC/rJ6LRJfeGtjjPYjEQgmV08YCXdDAAAAAABC8E/3ysK9KyLWiEh8gZb7Es6jJl/UJzJRkkPOdps1r9CEAAAAAACAmRBpREq+QPegJr+oT2SiJEcP25KYAAAAAAAAjET0r2a1UPuledSX7dI8verKxw0tcDcEAAAAAACMhPPXs5obEYkv3LUxRvuRCASTq2eLZF6hCQEAAAAAADPS1IhIfIGujTHSL+oTmSjJ0cO2JCYAAAAAAAA9SN4VWahuRCS+7I7+wlyTL+oTmei1pnzc0AJ3QwAAAAAAwKxUNSISX7ZbYtT4jvDpbR9ni2ReoQkBAAAAAMiDf7q3L6m7IsWNiNyX5zr2zn9FoIiSEFzbKfYGAAAAAAAABkWNiNQX3do4I/2iPpGJkhyytqEF7oYAAAAAAIBZiN0VYTciJV+eU9TGGekX9YlM1NbWzpbZvEITAgAAAAAAjgCrEZH6oj36C3tNvlKfnvZp2222tAYAAAAAAAD2JtuISH3JbYkz6ot2Mo9AESUhatLhbggAAAAAAJgR6q9nJRsRqQagJU6t7/+/nXvNcVw3wgB6s4tsMkB+ZQNZZLYTuBMN7bZIqorUyz4HEGBAVSTd3cDUB4096+w/KotN3SOk7Ly8EkIAALiTahCZNWSPrJPtzfRVeyo3ontE6tu15e7ySggBAIjz1b3H+v1UZDWIRIfsmpF1sr2ZvmjPnvXZ9w0AAHfyFkTuPAhnzt7smfDDiCzRry0VyytPQwAAuIvnpyIvQWTC3P3HyFozz5FWOcR5Zys7L6+EEAAA7upPEJk5YI+sle3N9FV7Kjeie0TqM+cHAIC7WZ6K/ASRmUPwyFrZ3kzf3oN/ZP1+balYXnkaAgDAna1+WD1r7+F+TWbPZk/l5hnv7X/KzssrIQQAgLubFkRGB/XzBv0nlUNEzxap31p7iZ8PAMCH8NW955sSREaH5Gx/pq/aU7kR3SNS3699r/A0BACATzAcRKKD+m/Z/kzf6Fl75q5fVlteCSEAAHyKoSAyOnhn+zN9zZ7KzdH317J17T3PAAAAZ0kHkbMG5On7VhaM7hOp79e+V3gaAgDAJ0kFkeiQvmbGGltV96rciJ4tUt+vLRXLKyEEAIBPM+XD6lHRQX+R6cvudba7nhsA4Op8Y9Y1hIPI6IB8mRBSuRndJ1Lfr32v8DQEAIBPFAoi0SH9t2z/6L5vKgtG94nU92tLxfJKCAEA4FNtDiLRIf1s1fNWbkTf39yfR1lt7roAAHBNm4LIjOE4u0am72rDfOY8noYAAPDJukHko0JI5WZ0n0h9v7ZULK+EEAAAPl0ziEQH9DXZNWbs/aKyYHSfuecqq01/vwAAcGHVIDJjMD56uL7aMJ85j6chAAD78dW917EaRM4e6DP7N3sqN6P7ROr7taVieSWEAADwLd6CSHQ4r8muk+lr9lRuRveJ1PdrS0X0HAAA8AlegsisoTi7zvShvLJgdJ/p51rhaQgAAN/kTxCZNWxn1zm6by/985SK5ZUQAgDAt6l+WD3j6FDQ3K9yM3rGSH2/tlREzwEAAJ/kJ4jMGIpH1sj0NnsqN6P7jLynrTwNAQDgG019IpIxfdifFEKi+uuXiuWVEAIAcBxf3XstU4JIdsg/ui8iske/tlQccXYAALi64SBy9GDd3K9yM3rGI96TpyEAAHyzoSAyMrBneps9lZvRfebXl4rllRACAMC3SweR6MD+bKR3VWXB6fv80l+/VOx9FgAAuJNUEBkZqrO9Rwzye+3xvK6nIQAAkAgilwshlZvRvebXv1cIIQAA5/CNWdcTCiLRYX2G5p6Vm3ufs79+qdj7LAAAcEebg8joQD19IJ+4YGSpfm2peK71NAQAAIr0h9Ujspkh0xftyZ4tQggBAIBXm4LIyLC+Swip3IzuNb++VETXBgCAb9INImcM1M09Kzf3Pmd//VLxXOtpCAAAvGsGkdHhfno4mLjg9LOtEEIAAGBdNYicFUIyfdGe+fWlInN+AAD246t7r2k1iIwO09n+Zl/l5t6Df3/9UvFc62kIAADUvQWR0cE+29/sq9zM7DX6/rYQQgAAoO0liBwxpIdNPFR0qX59qbjkzw4AAC6q+WH1qOwwnumL9syvLxXPtZ6GAABA358gEh3Uf8v2N/sqN0fP2pNdXwgBAIBtfoLI6GCf7W/2VW5m9hp9f+/KissrIQQA4Hp8Y9Z1Tf2vWdNMTA7Rpfr17yEEAACIGQ4i2WE807f34J9d39MQAACIGQoiu4SQys3MXtnz1ZUVl1dCCAAAxKWDSHbIb/ZNTA7Rpfr1pWLiMQEA4Ctd5zMijel+fqh41a9fr/A0BAAAclJBJDroLzJ92b32spxHCAEAuDbfmHVt4SCySwip3MzsFe3p15eKzHkAAIB3oSCSHcSbfROn++hS/fr1Ck9DAABgzOYgMjEvFI1F54eKV9l6IQQAAMZtCiLRof1Zpndkv3nKKa5xHgAA+BzdILJbCKnczOwX7enXl4rnWk9DAABgjvCH1bdqDvvR5NAQXSq7tRACcLx//PNf/38FEOMbs66vGUQm5oVNjt5vXTnFNc4DAACfpxpERobwZm/lZma/aE+/vlQ813oaAgAAc60GkUwoWDR7Kzcz+0V7su9JCAEAgPnegkh2YH9o9o4s/MvEpZ6UVfdZHwAAWLwEkTMG8CP27O+xHkI8DQEAgH00P6we0Rz2Kzf7AeFdtCezx4MQAgAA+/kTRLID+0Ozd2ThX/YJIaVq4lEBADiJr+69h58gMjKAN3sbN68x9JdTPJ/H0xAAANjX0H/NyoaJTF+0J3s2IQQAAPY37TMibypJ4DohpFRlzgQAAOSlg0hzeJ842e8TEtZDiKchAABwjFQQyYaQfULFq/4e6xVCCAAAHCccRLJhItMX7dm7Hq7p8ZfcugDge/jGrPuY+xmRysyTGYX2GZ/Kqs/rexrCNT3+SrdcPWs9ywUAcI5QEGmOLSfPNP3t1yuEEM7x+HvsXUdY23e5AAD2szmINMeSxs3MOBPt2bseYh5/Yb3rDtbOvVwAAGM2BZHs2JHp22fEKas+r+9pCDGPv54t1zdYe9/LBQDQN/4ZkcrckRlH9ulZrxBCePX4O+ldbLP2s3u+AAA2BJHm2HDyTBHd3gj0rR6/+d7FcdZ+/ssFAHm+MetemkGkORY0bmbGiWjPtvpS9VzvacinePxWt1zcx9rvb7kAgE9SDSLZf/YzffuMGGXV5/WFkLt4/NZ6F99l7W9guQCAu/nb3//9H/+KAwAAB/rrr/8C0i0mC+B3lF4AAAAASUVORK5CYII=" style="width:50.0%" alt="" /><figcaption>Example of what the visual debug might look like.</figcaption>
</figure>
<h3 id="hard-shadows-with-visual-debugger">2.3 Hard shadows with visual debugger</h3>
<p>For point light sources you should compute hard shadows. At each intersection point cast a shadow ray towards each light source to determine if the point is in shadow or not. If the point is in shadow for a light source, then that light source should not contribute to the shading computation.</p>
<p><strong>Visual debug:</strong> draw the shadow ray. If the shadow ray is occluded (it hits something other than the light) then draw it in a different colour such as red. This debug display should be combined with the visual debug for shading and the recursive ray-tracer.</p>
<figure>
<img src="data:image/png;base64, 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" style="width:50.0%" alt="" /><figcaption>Example of what the visual debug might look like.</figcaption>
</figure>
<h3 id="soft-shadows-with-spherical-lights-and-visual-debugger">2.4 Soft shadows with spherical lights and visual debugger</h3>
<p>Instead of a point light source, now you should create an area light source, more specifically, a spherical light. The spherical light source has a centre and radius. To compute soft shadows you should sample the sphere with shadow rays and determine the percentage of coverage of the light. The sampling method should be described in the report.</p>
<p><strong>Visual debug:</strong> As with the hard shadows. Draw all the rays that you sample and color them according to whether they hit the light or not.</p>
<figure>
<img src="data:image/png;base64, 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style="width:50.0%" alt="" /><figcaption>Example of what the visual debug might look like.</figcaption>
</figure>
<h3 id="acceleration-data-structure-without-pointers-and-with-visual-debugger">2.5 Acceleration data-structure without pointers and with visual debugger</h3>
<p>This is the most laborious part of the final project and the requirement that will allow you to render large scenes in a reasonable amount of time. You should implement a <strong>Bounding Volume Hierarchy</strong>, or BVH for short. Please use <strong>Axis-Aligned Bounding Boxes</strong> as bounding volumes (as seen in the lecture) and a binary tree (every parent node has two children). The <code>AxisAlignedBox</code> structure is defined in the <code>scene.h</code> file. Initially, you should create an AABB that contains the entire scene, and then subdivide it creating two new child AABBs, and distribute the content among the children. You should then proceed to subdivide the child nodes recursively, constructing the hierarchy. Don’t forget to limit the maximum number of levels of your hierarchy.</p>
<p>You can implement any subdivision criterion, but you should specify your choice in your report. For example, considering an AABB with a number of triangles inside, you could split it at the position of the median triangle at the <em>x-axis</em>, and alternate the splitting axis for the next subdivision levels. Another option is to implement SAH+binning, as seen in the lecture.</p>
<p>The bounding volume hierarchy only has to work for meshes, support for spheres is optional. Please organize your BVH such that you do <strong>not use pointers</strong> and instead rely on the standard std::vector class.</p>
<p>We have already set up the basic methods inside the <code>bounding_volume_hierarchy</code> files. Use these files to implement your BVH. Initially, there is no BVH, so the intersection method loops over all meshes to test for intersection against all primitives. In the following, you will implement several methods in the BoundingVolumeHierarchy class to create this data structure. The following are the main methods, but you are allowed to create new methods as well:</p>
<ul>
<li><code>Constructor</code>: receives as input the scene and you should implement the hierarchy construction</li>
<li><code>numLevels</code>: returns the number of levels of your data structure. Initially it is set to one, you should change it accordingly once the data-structure is created.</li>
<li><code>debugDraw</code>: receives as input the BVH level to be drawn, you should draw all bounding volumes (AABBs) at that hierarchy level (see Visual Debug below). A small example on how to draw a box is contained in the file, and more information in the Appendix.</li>
<li><code>Intersect</code>: once your hierarchy is constructed and you are able to visually debug it, you can finally implement the ray against BVH intersection test. This method receives a ray and the <code>HitInfo</code> to be filled. Here you should traverse the hierarchy and find the closest intersection point, if any, in order to fill the HitInfo structure. Note that for recursive ray-tracing, you might need to traverse the structure multiple times.</li>
</ul>
<p>To construct the BVH you will need to create a <code>Node</code> struct in the <code>bounding_volume_hierarchy.h</code> file (you can look at the <code>scene.h</code> file for some struct examples). All the nodes are stored in a <em>node vector</em> of type <code>std::vector<Node></code>. A node can be of two types: <em>interior</em> or <em>leaf</em> node. You can use a <em>boolean</em> to identify the Node type. Every node contains its own <code>std::vector</code> that can be used to store the indices of the two child nodes in the <em>node vector</em> (in case of a parent node) or store the indices of the contained triangles (in case of a leaf node).</p>
<p>Only <strong>after</strong> having finished the outlined BVH implementation, you could propose other data structures, such as Kd-trees, Octrees, regular grids - please discuss the implementation of these structures with [email protected] before starting.</p>
<p><strong>Visual debug:</strong> visualize one level of the hierarchy at a time by drawing the respective AABBs. The GUI contains a button to enable/disable the BVH visualization for debugging. If enabled, an additional slider will become available to choose the level in the hierarchy. This value is passed as input to the <code>debugDraw</code> function.</p>
<h2 id="extra-requirements-extra-features">3. Extra requirements (extra features)</h2>
<p>You can implement many other features. For some, we list the corresponding points below but other ideas are welcome. If you are in doubt if an idea for an extra requirement is valid or “worth it”, please contact [email protected] or [email protected]. Most suggestions can be implemented with the material from the lectures but some might require extra research (we have marked those with *).</p>
<ul>
<li>[0.5] Interpolated values over the triangle via barycentric coordinates.</li>
<li>[0.5] Soft shadows for other light sources, such as a planar area light.</li>
<li>[1.2] Motion blur, explain your solution in the report.</li>
<li>[1.0] Bloom filter on the final image.</li>
<li>[0.5] Antialiasing: similar to mipmaps, reduce the resolution of the output, averaging 2x2 pixels.</li>
<li>[1.2] Texture mapping (you can extend and use the Image class, which is provided in the code).</li>
<li>[0.5] Texture filtering: Bilinear interpolation.</li>
<li>[1.2] * Texture filtering: Mipmapping.</li>
<li>[1.0] * Cast multiple rays per pixel. Describe your sampling strategy in the report.</li>
<li>[1.5] * Glossy reflections. For glossy or diffuse surfaces cast recursive rays at directions different from the mirror reflection.</li>
<li>[1.5] * Transparency, explain your solution in the report.</li>
<li>[2.0] * Depth of field, explain your solution in the report.</li>
</ul>
<p><strong>Visual debug:</strong> whenever possible create a visual debugger for each extra feature and include screenshots of your debugger working.</p>
<h2 id="report">4. Report</h2>
<p>Your report is essential for the evaluation. Read the instructions carefully and include all the required points. <strong>We will only evaluate what you list in the report</strong>.</p>
<p>Start the report with the group number and a list of all members (names and student numbers).</p>
<h3 id="work-distribution">4.1 Work Distribution</h3>
<p>At the beginning of the report, you should have a table with a group member per column, and each implemented feature per row. For each cell indicate the percentage of work done by each member for each feature. Example:</p>
<table>
<thead>
<tr class="header">
<th>Feature</th>
<th>Student 1</th>
<th>Student 2</th>
<th>Student 3</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>Shading</td>
<td>50%</td>
<td>25%</td>
<td>25%</td>
</tr>
<tr class="even">
<td>Recursion</td>
<td>40%</td>
<td>30%</td>
<td>30%</td>
</tr>
<tr class="odd">
<td>Data Structure</td>
<td>10%</td>
<td>10%</td>
<td>80%</td>
</tr>
<tr class="even">
<td>Hard Shadows</td>
<td>20%</td>
<td>80%</td>
<td>0%</td>
</tr>
<tr class="odd">
<td>Soft Shadows</td>
<td>20%</td>
<td>60%</td>
<td>20%</td>
</tr>
<tr class="even">
<td>Transparency</td>
<td>100%</td>
<td>0%</td>
<td>0%</td>
</tr>
<tr class="odd">
<td>Compact BVH</td>
<td>0%</td>
<td>0%</td>
<td>100%</td>
</tr>
<tr class="even">
<td>Interpolated Normals</td>
<td>0%</td>
<td>70%</td>
<td>30%</td>
</tr>
<tr class="odd">
<td>Textures</td>
<td>80%</td>
<td>20%</td>
<td>0%</td>
</tr>
</tbody>
</table>
<h3 id="features">4.2 Features</h3>
<p>For <strong>each</strong> feature, you must include:</p>
<ul>
<li><p><strong>A short description of the implementation</strong>. Do not copy-paste code but describe what you did in a few sentences. Add required details, such as subdivision criterion for BVH or the sampling method for the spherical light source.</p></li>
<li><p><strong>At least one rendered image</strong> that properly illustrates this feature. From the image, the feature has to be clearly identifiable. For example, a render with soft-shadows does not also count for hard shadows. Here, two images should be generated, one image using a point light and another with a spherical light source. The same reasoning holds for all other features.</p></li>
<li><p>The <strong>visual debugger</strong> (if implemented for a feature) needs to be shown in an image or sequence of images to illustrate its use. This can be a screenshot from the OpenGL window. For example, for the data-structure, illustrate the different levels with multiple images.</p></li>
</ul>
<p><strong>>>If you do not include these elements, you might not receive all points for a feature<<</strong></p>
<h3 id="models">4.3 Models</h3>
<p>You can use your own models to produce images. Be sure to specify which model belongs to which group member. If a scene is not modelled by one of the group members, make sure to include a reference from where the scene was taken. As mentioned above, you can overwrite the file custom.obj in the data folder with your own model and it becomes directly accessible from the interface by selecting the custom scene.</p>
<h3 id="performance-test">4.4 Performance test</h3>
<p>Please provide a table with all scenes (even those containing only one model) that you rendered. It should contain the scene name, number of triangles, time required for rendering. In case you have implemented any additional effects, you do not have to use them for the timings. You can limit the number of maximum recursions to three. Please report on the number of subdivisions that your data structure used.</p>
<p>For each scene make sure that you have included an image as requested above.</p>
<p>Example table (these numbers are fictional, do not use them as a reference):</p>
<table>
<thead>
<tr class="header">
<th></th>
<th>Cornell Box</th>
<th>Monkey</th>
<th>Dragon</th>
<th>Blender Stud 1</th>
<th>Blender Stud 2</th>
<th>Blender Stud 3</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>Num triangles</td>
<td>32</td>
<td>968</td>
<td>87K</td>
<td>10K</td>
<td>120K</td>
<td>22K</td>
</tr>
<tr class="even">
<td>Time</td>
<td>0.5s</td>
<td>2s</td>
<td>120s</td>
<td>20s</td>
<td>210s</td>
<td>35s</td>
</tr>
<tr class="odd">
<td>BVH levels</td>
<td>3</td>
<td>5</td>
<td>9</td>
<td>7</td>
<td>10</td>
<td>8</td>
</tr>
</tbody>
</table>
<p>You can also add more tables with performance measures, such as to illustrate the cost of an extra feature, or how rendering the same model with different amounts of subdivisions for the data structure affects the render time.</p>
<h2 id="image-competition">5. Image competition</h2>
<p>Submit your best image to the render competition. Just include an image file in your zip folder with the name <em>competition-groupXX.png</em>.</p>
<p>With this competition, you can gain up to 1.5 points for your final project grade (limited to 10). You can use any model you want but do not forget to include references. The ranking will be based on a combination of technical merit and visual quality.</p>
<h2 id="submission">6. Submission</h2>
<p>You should submit all your source code files (not the content of the directories “debug” and “release”) in a zip folder, including your PDF report named (“report-groupXX.pdf”). You should also submit all scenes that you have used in your work. Please upload early, but if you encounter difficulties with the upload, calculate an md5 checksum (e.g., https://www.winmd5.com/) of your zip file and send it to [email protected] or [email protected] <strong>before</strong> the deadline, indicating your group number.</p>
<p>Please make sure that your code compiles when you submit it. We will use Visual Studio on Windows to compile your work, as for the assignments.</p>
<h2 id="appendix">7. APPENDIX</h2>
<h3 id="materials-mtl">7.1. Materials (MTL)</h3>
<p>OBJ files have an optional accompanying MTL file. When you create a model with materials in Blender, the MTL file is also exported together with the OBJ file. Note some advanced material options in Blender are not supported by the MTL file format.</p>
<p>The MTL files are automatically loaded by the <strong>assimp</strong> library included in the framework, since the MTL filename is mentioned in the OBJ file. We have added a Material structure to the framework to allow easy access to the Phong coefficients. The following material structure can be found in the <code>mesh.h</code> file:</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true"></a><span class="co">// Defined in mesh.h</span></span>
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true"></a><span class="kw">struct</span> Material {</span>
<span id="cb2-3"><a href="#cb2-3" aria-hidden="true"></a> glm::vec3 kd;</span>
<span id="cb2-4"><a href="#cb2-4" aria-hidden="true"></a> glm::vec3 ks { <span class="fl">0.0</span><span class="bu">f</span> }; </span>
<span id="cb2-5"><a href="#cb2-5" aria-hidden="true"></a> <span class="dt">float</span> shininess { <span class="fl">1.0</span><span class="bu">f</span> };</span>
<span id="cb2-6"><a href="#cb2-6" aria-hidden="true"></a> <span class="dt">float</span> transparency { <span class="fl">1.0</span><span class="bu">f</span> };</span>
<span id="cb2-7"><a href="#cb2-7" aria-hidden="true"></a>};</span></code></pre></div>
<p>For example to access the diffuse coefficient of a mesh use:</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true"></a>glm::vec3 = mesh.material.ks;</span></code></pre></div>
<p>We have added one additional parameter to the material structure, <code>transparency</code> with values ranging from 0.0 (fully transparent) to 1.0 (fully opaque). This is <strong>only to be used</strong> if you do implement transparency as an extra feature, otherwise you can safely ignore this parameter. In Blender you can set the transparency by going to the Material tab, activating transparency and setting the Alpha value. This value will be exported to the MTL file and imported by the framework.</p>
<p>If you created a model that uses multiple materials, they will be automatically handled. The <code>loadMesh</code> method in <code>mesh.cpp</code> actually returns a vector of meshes, and not a single mesh, hence, each submesh has its own material properties.</p>
<p>Remember that the initial BVH structure already loops over all submeshes for you. So for each submesh you can directly access its material object.</p>
<h3 id="drawing-rays">7.2. Drawing rays</h3>
<p>A ray is defined by its origin, direction, and intersection parameter <em>t</em>, as defined in Part 1. You can define your own rays for debugging and call the method <code>drawRay</code> to render it in Rasterization mode. This function also draws a small sphere at the intersection point, unless you do not modify the <em>t</em> value (it is set to infinity - a very large value). You can also come up with your own draw functions if you like.</p>
<p>For debugging purposes, a global variable <code>enableDrawRay</code>controls if the rays are rendered or not, so make sure it is set to <em>true</em> before rendering your rays. If you draw a ray inside the <code>getFinalColor</code> method then the flag will already be set to <em>true</em>.</p>
<p>Here is an example of how to draw a green ray:</p>
<div class="sourceCode" id="cb4"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true"></a>Ray ray;</span>
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true"></a>ray.origin = glm::vec3(<span class="fl">1.0</span>, <span class="fl">0.0</span>, <span class="fl">2.0</span>);</span>
<span id="cb4-3"><a href="#cb4-3" aria-hidden="true"></a>ray.direction = glm::vec3(<span class="fl">0.0</span>, <span class="fl">0.0</span>, <span class="fl">1.0</span>);</span>
<span id="cb4-4"><a href="#cb4-4" aria-hidden="true"></a>ray.t = <span class="fl">3.0</span>;</span>
<span id="cb4-5"><a href="#cb4-5" aria-hidden="true"></a>glm::vec3 colour (<span class="fl">0.0</span>, <span class="fl">1.0</span>, <span class="fl">0.0</span>);</span>
<span id="cb4-6"><a href="#cb4-6" aria-hidden="true"></a></span>
<span id="cb4-7"><a href="#cb4-7" aria-hidden="true"></a><span class="co">// Declared in the `draw.h` file</span></span>
<span id="cb4-8"><a href="#cb4-8" aria-hidden="true"></a>drawRay(ray, colour); </span></code></pre></div>
<h3 id="drawing-boxes">7.3 Drawing boxes</h3>
<p>In the <code>draw.cpp</code> file you will find a method to draw Axis Aligned Bounding Boxes (AABBs):</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true"></a><span class="dt">void</span> drawAABB(<span class="at">const</span> AxisAlignedBox& box, DrawMode drawMode, <span class="at">const</span> glm::vec3& color, <span class="dt">float</span> transparency);</span></code></pre></div>
<p>The draw mode can be either <code>DrawMode::Filled</code> to render the sides of the AABB, or <code>DrawMode::Wireframe</code> to render only the edges. You can also pass a color and transparency value. This last value can be used with DrawMode::Filled to draw transparent boxes, where 0.0 if fully transparent and 1.0 is fully opaque.</p>
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