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"_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "StyleView", "description_width": "" } } } } }, "cells": [ { "cell_type": "markdown", "source": [ "#**PHASE 3: Calculate the mass of Jupiter**\n", "\n", "\n", "---\n", "\n", "\n", "\n", "---\n", "\n", "Now you are going to follow the **scientific method**, as scientist do.\n", "\n", "You need to follow these three steps:\n", "\n", "\n", "1. **Make an hypothesis**\n", "2. **Do an experiment**\n", "2. **Compare your conclusions with your hypothesis**\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "metadata": { "id": "ShkTmfbqHv78" } }, { "cell_type": "markdown", "source": [ "# **Make an hypothesis:**\n" ], "metadata": { "id": "Pl6BOqYWHRAI" } }, { "cell_type": "code", "source": [ "#@title\n", "import numpy as np\n", "from IPython.display import display, Markdown, Latex, HTML\n", "import ipywidgets as widgets" ], "metadata": { "id": "2b5hR_dv673N" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "def create_question(question, choices, answer):\n", " display(Markdown(f\"**{question}**\"))\n", "\n", "\n", " feedback = widgets.HTML('✔ Great answer! Any answer is correct because you are doing an hypothesis! You will find out the correct answer after executing this challenge')\n", "\n", " radio_buttons = widgets.RadioButtons(options=choices, description='Options')\n", " button = widgets.Button(description=\"Submit\")\n", "\n", " def check_answer(button):\n", " # Disable the radio buttons after the answer is submitted\n", " radio_buttons.disabled = True\n", " button.disabled = True\n", "\n", " button.on_click(check_answer)\n", "\n", " display(radio_buttons)\n", " display(button)\n", " display(feedback)\n", "\n", "# Question\n", "create_question(\"What do you think is the mass of Jupiter? (Note: SS stands for Solar System.)\",\n", " [\"Twice the mass of the Earth\", \"2.5 times the other SS planets\", \"1% times the mass of the Sun\"],\n", " \"Any answer is correct!\")\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 204, "referenced_widgets": [ "3d3343fbe1cf4f00871f36fe3118bae0", "dbe7ca6f07c444dba417dd7547b94ba1", "e2949b3fb7dc46fc83d3d2a04434232a", "27b01b92384b40f7bee5a58f74401a1a", "4d21cd1b256b40dc975b2b79d05a7255", "a70d164710614778accf5b8fa52e5d09", "ed708b38ad7a41d296415f8ecfc7fea2", "6f042ce6b898498da36701f846cb4c2a", "d3a5d8baf9ca475f9e5be0a6abe7a3f0" ] }, "id": "STUyzC3mNfc-", "outputId": "d83db810-85a7-4504-c241-a869d5d59137" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/markdown": "**What do you think is the mass of Jupiter? (Note: SS stands for Solar System.)**" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "RadioButtons(description='Options', options=('Twice the mass of the Earth', '2.5 times the other SS planets', …" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "3d3343fbe1cf4f00871f36fe3118bae0" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "Button(description='Submit', style=ButtonStyle())" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "27b01b92384b40f7bee5a58f74401a1a" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "HTML(value='✔ Great answer! Any answer is correct because you are doing an hypothe…" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "ed708b38ad7a41d296415f8ecfc7fea2" } }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "def create_question(question, choices, answer):\n", " display(Markdown(f\"**{question}**\"))\n", "\n", " # Always set the feedback to \"Great answer! Any answer is correct because you are doing an hypothesis!\"\n", " feedback = widgets.HTML('✔ Great answer! Any answer is correct because you are doing an hypothesis! You will find out the correct answer after executing this challenge')\n", "\n", " radio_buttons = widgets.RadioButtons(options=choices, description='Options')\n", " button = widgets.Button(description=\"Submit\")\n", "\n", " def check_answer(button):\n", " # Disable the radio buttons after the answer is submitted\n", " radio_buttons.disabled = True\n", " button.disabled = True\n", "\n", " button.on_click(check_answer)\n", "\n", " display(radio_buttons)\n", " display(button)\n", " display(feedback)\n", "\n", "# Questions\n", "create_question(\"How could you calculate the mass of Jupiter? by ...\",\n", " [\"weighting the planet\", \"their orbital moon movements\", \"using parallax\"],\n", " \"Any answer is correct!\")\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 204, "referenced_widgets": [ "d5966f504cc4422ca6d528ae32e39d0a", "bdd56bb94dc342d9ad2d5083d4fc303d", "70716df7543b49bca7b254a59acde20a", "b2348487f6504a00a26f401864cdb1c3", "bc7236186e3f42429f3cc32a614e4988", "22e880dd9b544cce8247bc9f2e039db2", "864c2cb5cefe45e1a5603d963ea49fb3", "d71a4f8792ab44b9b02a938cea166e81", "f880b83b8bb94048a8e0abce89b1f7cd" ] }, "id": "y6aaeYsQODfn", "outputId": "e2269333-ac36-4c3d-add9-08b443b8d252" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/markdown": "**How could you calculate the mass of Jupiter? by ...**" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "RadioButtons(description='Options', options=('weighting the planet', 'their orbital moon movements', 'using pa…" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "d5966f504cc4422ca6d528ae32e39d0a" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "Button(description='Submit', style=ButtonStyle())" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "b2348487f6504a00a26f401864cdb1c3" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "HTML(value='✔ Great answer! Any answer is correct because you are doing an hypothes…" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "864c2cb5cefe45e1a5603d963ea49fb3" } }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Do the experiment: Calculate the mass of Jupiter**\n", "\n", "We are going to study the orbital movements of the Galilean moons so that we get Jupiter's mass. We have seen all the equations that have to be solved, but in practice, you can use **Stellarium** (software).\n", "\n", "For this phase **each group member** has to perfom the experiment with a different Galilean moon. These are the steps to be followed:\n", "\n", "\n", "1. Choose one of the Galilean moons:\n", ">For this phase each group member has to choose a moon. Remember that you can also see the moons and its characteristics in [Scifleet](https://scifleet.esa.int/)\n", "\n", "\n", "2. Install Stellarium and open it\n", "> You will be located on a green path in day or night view. In addition, if the location is activated, you will appear just where you are. **Follow the steps listed below to complete the experiment, which are explained in the following video:\n", "[Link to the video (in spanish)](https://youtu.be/wghWnlI-MNU)**\n", "\n", "\n", ">\n", "\n", "\n" ], "metadata": { "id": "xOH16a2mLWG7" } }, { "cell_type": "markdown", "source": [ "![Sin 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WNRQBs/8JDrOOTD+T//ABVH/CQ6x2MP5P8A/FVjUUAbP/CQ6xnrD+T/APxVH/CQ6z6w/k//AMVWNRQBs/8ACQ6xjgw/k/8A8VS/8JDrGesP5P8A/FVi0UAbP/CQ6z6w/k//AMVR/wAJDrHrD+T/APxVY1FAGz/wkGsdzD+Tf/FUf8JDrPrD+T//ABVY1FAGz/wkOsesP5P/APFUf8JDrOOTD+Tf/FVjUUAbP/CQ6znrD+T/APxVH/CQax6w/k//AMVWNRQBs/8ACQ6z3MP5P/8AFUf8JDrHYw/k/wD8VWNRQBs/8JDrHrD+T/8AxVH/AAkOsesP5P8A/FVjUUAbP/CQ6x2MP5P/APFUp8Q6wT1h/J//AIqsWigDZ/4SHWfWH8n/APiqP+Eh1j1h/J//AIqsaigDZ/4SHWO5h/J//iqP+Eh1n1h/J/8A4qsaigDZ/wCEg1j1h/J//iqP+Eh1gc5h/Jv/AIqsaigDbHiPWAePJ/Jv8amXxRq69oT+Df41z1FAHeaV4yZ7hLXUkERkIVXRsoWPY5AIJ7dj616Ra3YcAg183akCdOnI4KxswPoVGR+or17Q9SNxDHKx5ZQT+IoA9MjfjIq2Dnmse1l3CtWM8YoAfRRRQB//0f79ZCQvFY942FNbEn3awr77pxQB5z4guCqNXk2lS+Y14+f+Xp/5LXoniV/kY1+IH7U/7TPx0+F3xp1Twn4A146fpyRwTLD9mglw8iZY7pI2bnHrgV35dl1TG1fY0mk7X1/pnPicTGhDnnt5H6eav8LbO/1KS+srs2yTMXaPyw4DNydpyMZPOCCAfbivRdI0q00TTYdLsARHCMAscknOSSe5J5Nfz4P+3B+1SOni1v8AwBtP/jNQN+3H+1YDj/hLT/4A2n/xmve/1Oxv80Pvf+Rwf21h+z/D/M/cy/8AhNZT37XFjdtbwuxYx7AxXPJCsSOPTIOPpXp2n6fa6XYRaZZrthhQIoPPA9fXPf1r+dp/25/2rwMjxa2f+vG0/wDjVQN+3Z+1iDgeLT/4A2n/AMZo/wBTcb/ND73/APIh/bVDs/uX+Z+7c3wjsnvC9tevFbE8RhAXUHsr5xgdiVJFerWlrb2NrFZWqhIoVCIo7KowK/nH/wCG8P2s/wDobj/4A2n/AMZqJv28v2thnHi88f8AThaf/Gaf+pmN/mj97/8AkRf23h+z+5f5n9ItFfzYv+3t+1wOni//AMkLT/4zVZ/2+v2u1zjxh/5IWf8A8Zp/6mY3+aP3v/5EX9uYfs/uX+Z/SvRX8z7/ALf37XoHHjD/AMkLP/4zUbf8FAv2vguB4w/8kLP/AOM0f6l43+aH3v8AyH/bmH7P7l/mf0x5WjIPSv5ln/4KCftgAceMP/KfZ/8Axmqzf8FB/wBsMHA8Y/8AlPs//jNP/UrHfzQ+9/5C/tzD9n9y/wAz+nOkyK/mEf8A4KF/tjAceMef+wfZ/wDxmq7/APBQ/wDbJU8eMv8Ayn2f/wAZprgnHfzQ+9//ACIv7dw/Z/cv8z+oPK0ZWv5dW/4KJ/tl848ZD/wXWf8A8ZqA/wDBRb9s7HHjIf8Agus//jNP/UnHfzQ+9/8AyIf29hu0vw/zP6kcrS1/LM3/AAUY/bPxx4zH/gus/wD4zUDf8FG/20VGR4zH/gus/wD4zR/qTjv5ofe//kRf29huz+5f5n9UFGR0r+Vtv+Cj/wC2mBkeMx/4LrP/AOM1C3/BSP8AbVA48ZjH/YOs/wD4zR/qTjv5ofe//kRf2/hu0vuX+Z/VVRX8pz/8FJf22B08aL/4LbP/AOM1C3/BSj9tkc/8Jov/AILbL/4zR/qRjv54fe//AJEP7fw3aX3L/M/q2yOlGRX8ob/8FKv22x08arj/ALBtl/8AGahf/gpb+26vTxqv/gtsv/jNP/UfHfzw+9//ACIf2/hu0vuX+Z/WHkUZA61/Ju3/AAUw/beHTxqv/gtsv/jNRN/wUz/bgUZXxsv/AILbL/4zR/qPj/5ofe//AJEP7fw3aX3L/M/rNyD0oyB1r+S1v+Cmv7cWM/8ACbL/AOC2y/8AjNRH/gpv+3Fjjxsuf+wZZf8Axmj/AFIx/wDND73/AJB/rBhu0vuX+Z/WtkUtfyRn/gp1+3J/0Oy/+Cyy/wDjNQ/8PPP25gcHxun/AILLL/4zR/qNj/54fe//AJEX+sGG7S+5f5n9cVFfyMf8PP8A9ucH/kdk/wDBZZf/ABqoj/wVC/bpBx/wmyf+Cuy/+NU/9Rsf/PD73/8AIh/rBhu0vuX+Z/XZRX8hh/4Kift1g/8AI7J/4LLL/wCNVE3/AAVH/btBx/wm8f8A4K7L/wCM0f6jY/8Anh97/wDkQ/1gw3aX4f5n9fFFfyAt/wAFSf27w3/I7x/+Cyy/+M0xv+Cpn7eA6eN4/wDwV2X/AMZo/wBRsf8Azw+9/wDyI/8AWDDdpfh/mf2A0ZFfx9H/AIKm/t4Y48cR/wDgrsv/AIzUX/D1D9vMcf8ACcR/+Cuy/wDjVH+o2P8A54fe/wD5EX+sOG7S+5f5n9hVFfx5N/wVR/bzAz/wnEf/AIK7L/4zTf8Ah6p+3mf+Z3j/APBXZf8Axmj/AFGx/wDPD73/APIi/wBYsN2l9y/zP7DsijIr+Os/8FVf29lOP+E5j/8ABXZf/GaY3/BVj9vgcjxxF/4K7L/4zR/qNj/54fe//kQ/1iw38svuX+Z/YxUc0MVxC9vOodJFKsp6EMMEH6iv46P+HrP7fH/Q8Rf+Cuy/+M1Ef+Crf7fYOP8AhOIv/BVZf/GaP9Rsf/PD73/8iP8A1iw38svw/wAz+sGx+BXw3sre5tDaz3MVzZvYbLm6lmEVrIctFFvY+WpIH3fQelaEHwf8EW2qWusQpdCe1WBCftc2Jvsv+qMw3YlKdi+Tjg5r+S0/8FXP2+/+h5i/8FVl/wDGaiP/AAVf/b7HXxxF/wCCqy/+NUf6jY/+eH3v/wCRD/WLDfyy/D/M/rJn+Bvw0uLA6bcWUjQmCS3wZ3yEkn+0kg5yGEvzBuo6DitXQPhR4I8NX9tqmlQzfaLS4uLtJJZ3lbzrpAkrMWJ3blUdeh5FfyQH/gq/+3528cRf+Cqy/wDjVRf8PYv2/f8AoeYv/BVZf/GaP9Rsf/PD73/8iL/WLDfyy/D/ADP6xtS+Afww1Wyi0+6tJ1iiS6i/d3UsZaO8cySo5VgWVnOdp4Hauit/hd4JtbxL+G3cSx38epKTKx/0mKHyFbGegjGNvQnnrX8ix/4Kxft/dvHMX/gqsv8A41UZ/wCCsn7f44/4TmL/AMFVl/8AGqP9Rcf/ADQ+9/8AyI/9YsN/LL8P8z+vJ/hj4LfwQPh29qx0oEssZkYurbzIGV87gyucqQciqml/CjwZo1pFZ6et1H5T3MjP9ql8yWS7XZI8rbsyOR90tkqeRiv5F/8Ah7J+3/8A9D1F/wCCqy/+NVGf+Cs3/BQIf8zzD/4KbL/41T/1Fx/88Pvf/wAiL/WPC9pfcv8AM/rq8JfCTwZ4J0240fQFultLqBrdoZbuWWNUfO7YrsQrHJywwTWhZfDfwnp+nvpVsk4tpNNTSTEbiQp9ljBAABOA+GILgbj3NfyB/wDD2f8A4KAf9D1F/wCCqy/+NU1v+CtH/BQMcjx1D/4KbL/41S/1Gx/88Pvf/wAiL/WPC9pfcv8AM/sq0nTLLRdLttG01SlvaRJBEpJYhIxhRk8ngdTWhX8YX/D2v/goF/0PUP8A4KbL/wCM0f8AD2r/AIKB/wDQ9Q/+Cmy/+M0f6jY/+aH3v/5EP9Y8L2l9y/zP7PaTIr+L4/8ABW3/AIKDdD47i/8ABTZf/GqT/h7b/wAFBP8Aoeof/BTZf/GqP9Rcf/PD73/8iH+seF7S+5f5n9oWVoytfxcH/grd/wAFBgf+R7h/8FNl/wDGqb/w9v8A+Cg3/Q9w/wDgpsv/AI1R/qNj/wCaH3v/AORD/WPC9pfcv8z+0rIoyK/iyb/grf8A8FCByPHcOP8AsE2X/wAapn/D3H/goR/0PcP/AIKbL/41R/qNj/54fe//AJEP9Y8L/LL7l/mf2oUV/Ff/AMPcv+ChGP8Ake4f/BTZf/GqiP8AwVz/AOChg6+O4f8AwUWX/wAbo/1Gx/8APD73/wDIh/rHhe0vuX+Z/arSZFfxVf8AD3X/AIKFf9D3B/4KLL/41Th/wV1/4KFf9D3B/wCCiy/+NUf6jY/+aH3v/wCRE+JML/LL7l/mf2qUV/FUf+Cuv/BQo9PHcI/7hFl/8apn/D3X/gob/wBD5B/4KLL/AONU/wDUXMP5ofe//kQ/1lwvaX3L/M/tXyKMrX8U/wDw94/4KGD/AJnuD/wUWX/xqj/h7z/wUL/6HuD/AMFFl/8AGqS4Fx/88Pvf/wAiJ8SYX+WX3L/M/tYytGVr+Kf/AIe8/wDBQv8A6HuD/wAFFl/8ao/4e8/8FC/+h7g/8FFl/wDGqf8AqJmH80Pvf/yIf6y4X+WX4f5n9rGVoytfxT/8Pef+Chf/AEPcH/gosv8A41UUv/BXr/gockTuvjyDKqSP+JRZdh/1yo/1FzD+aH3v/wCRD/WXC/yy/D/M/tdyKMjrX8SfjT/gsF/wUS0XxXfaVp3jy3WCB0CBtHsmIBjRjz5XPJNcz/w+V/4KPf8AQ/W3/gmsf/jdcq4QxjV+aP3v/I2/t7D/AMsvw/zP7ksilr+Gz/h8r/wUe/6H62/8E1j/APG6af8Agsp/wUg7eP7b/wAE1l/8bp/6n4z+aP3v/IP7fw/aX4f5n9ytFfw0f8Plf+CkX/Q/Wv8A4JrL/wCN03/h8v8A8FIf+h+tf/BNZf8Axuj/AFPxn80fvf8AkH9v4f8All+H+Z/czRkV/DN/w+X/AOCkH/Q/Wv8A4JrL/wCN0f8AD5f/AIKQf9D9a/8Agmsv/jdH+p+M/mj97/yD+38P/LL8P8z+5mjIr+Gb/h8v/wAFIP8AofrX/wAE1l/8bo/4fL/8FIP+h+tf/BNZf/G6P9T8Z/NH73/kH9v4f+WX4f5n9zGRS1/DN/w+X/4KQf8AQ/Wv/gmsv/jdH/D5f/gpB/0P1r/4JrL/AON0f6n4z+aP3v8AyD+38P8Ayy/D/M/uZor+Gb/h8v8A8FIP+h+tf/BNZf8Axuj/AIfL/wDBSD/ofrX/AME1l/8AG6P9T8Z/NH73/kH9v4f+WX4f5n9zORRX8M3/AA+X/wCCkH/Q/Wv/AIJrL/43R/w+X/4KQf8AQ/Wv/gmsv/jdH+p+N/mj97/yD+38P/LL8P8AM/uZyKTIr+Gf/h8v/wAFIP8AofrX/wAE1l/8bpP+Hy//AAUi/wCh+tf/AATWX/xuj/U/G/zR+9/5B/b+H/ll+H+Z/c1kUZFfwy/8Pl/+CkX/AEP1r/4JrL/43S/8Plv+Ckf/AEPtr/4JrL/43T/1Oxv80fvf/wAiH9v4f+WX4f5n9zGRRkV/DSP+Cyv/AAUi7+PrX/wTWX/xul/4fK/8FIO/j22/8E1j/wDG6X+p+M/mj97/AMhf6wYbtL8P8z+5bIPSiv4av+Hy3/BSD/ofbb/wT2P/AMapf+Hyv/BR/wD6H62/8E1l/wDG6P8AU/G/zR+9/wCQv9YcN/LL8P8AM/uH1M4025/64yf+gmur8J3Re0h/3E/kK/h9+Hv/AAV5/wCChnif4geH/DOt+Obeay1PVrCyuYxpFmheC5uI4pFDCPIJRiARyOtf22+EmCRIi9FAA+gryM0yitgXFVmnzX2v09Uj0MFj6eKUnTTVu57xpz5UV0MRJrldLb5Aa6mH+leUdpPRRRQB/9L+/ST7tYN/901vSfdrBv8A7poA8h8T/dbvX86H7cX/ACcZq3/Xvaf+gV/Rf4nHyNX85/7cP/Jxmrf9e9p/6BX1PCP+/P8Awv8ANHlZz/u/zX6nx+46iqcnar7jnNUX6V+nJnyhRk71TfrV6QZJqk/Y0yblOoGHJFWWGDVdvvVSZJSf7tVHHP1q9IOtU3HeqAouOKrP92rjjkiqzL1WmmBVYZWqsnrVs9DVV+lWTcpSDrVRxxmrzjBzVVlwcU0ySi45zVZxg1eZeqmqzLkYNVcTKTDBxVZlxwauuMj6VXZcjNMkpMOcVWYdjV1xkZqu4zzQIpMOxqswyMVdcd6ruO9O4FMjPBquw7GrjjvUDr3FNAUiOxqAjBwauOueRUDLnpVEspMMGoGGDVxlyKrsMrQK5UcYOaruMHNW3GVqu4yKdxFRxzmq7jnNW2GVquwyKd+gFVx3qu471bIyMVAR2NFwKrjIqAjIxVphg1E69xTuK5UIINROvcVbIyMVCQQcGmK5WIzxUBBBq2y9xURAIwaVxFZlyM1DVkgg1GyZ5FMRVZccioyARg1ZqJlxyKAKpBBpjKGqyQDwaiZdpoArEEHBpjKGqwwyKhoAgIIODTSoNWGGRUFAmQlSKaRnipyMjFQkEHBoE2QsmORTKsVE645FFxNkLLnkVFVio3XuKBELLkVDVimMueRQBCQCKhIxxU9NZQaAIaiZCOlTlSKbQBXoqcgHrTDH6UCuQlFNMKHtU5Uim1W4tSAgjrSVYpu1TRsJshpCoNTGMdqaUNPRiIfLFN8s9v8AP61MQRSUAQ7GqGcH7PJ/uN/KrlRzf6iT/cb+VFwZg/Ej/ketT/66R/8AoqOuJrvfiOAfHWp5/wCekf8A6Kjridq14kXoj0pWuyCpre3mup1t4F3O5wBQUU1a02SO11K3uJnKIsi5I474x9DWWJqOFGc4LVJteqRdGMZVIxls2jTfQbWC4SxvNQt4bmX7kTMNzZ9BkH9Ky9S0u50ucQ3QHIypHIIr1a40TSbm7F9c20ckylfnZcnK9Py7VwPi+WOTWdiOSY41Vl7KTk/qCK+RyTO8TicVGlOV0029Erelv1PfzLLaNGi5xVmmrat39bnLbFphQ1LRX2rsfNkG1hVyw0661Kf7PaLk9STwAPU1FXSKJofCjT2M8lvK84DPCQHAHbJB4/CuDMcTOjTiqKXPJqKvtd9zrwdGNSbdT4Ypt23suxZbwRdiPcs6FvTBA/P/AOtXJXdpcWM7W10u116il+06721a+/7+L/8AEV0OpK0mg6fcXUrTTkMpeQguwyepAHT6V5uFq5hh60I42UZRm7K26dm+y00OutTwlWnJ4aLTir67NXS7+ZytLg1PRX0N0eQQ7GqaO3d0eUsqRxjc7uQqqPUknAopJnuXjjQWfmLEHlTeylC4/wCWrLnLCMcBeue2Oa4cfip0aadNat2X9af15HThaSqTtPZf15jbcWd3KLezuoZpHG5EVsM6+qg43D6c8dKdsAPIqS7jWaMQCY6isilmVmiDnaARcRsuNmDxg46dPWSV7m4cS3cflyMq7uQd5x94YPG7rg4NcWW5lUrz5ZW5WtH/AF536LY6MbhI0o3W63/r7upBgDpRUoQU7aor2tDyyHBPSlCMamq/p2nT6nceRAP95uwFRVrU6UHUqOyW7Lp05TkowV2yncWhtIIJrlsG5JEaAEsQvVvQAepNR7VFdZrWseHLQpo9xFcXktooX9wucHH3WbIAJ4JB6d65jdJOzTzIImc7ti8hR2APtXlZRmNXFJucGlq72srX0S6vTc9DMMHCg0oyXTS93frftqd/8If+Su+EP+w/pP8A6WQ1/pE+EzlEzX+b58IlUfFzwj/2H9J/9LIa/wBITwnnauK+a40+Oj6S/Q9jhv4any/U9x0r7gxXVQ1y2l8RiuqhOfyr4c+lJ6KKKAP/0/79JPu1hX/3TzwK3ZPu1g3/AApoA8g8T8I1fzo/tx8ftGat721p/wCgV/Rd4n+430r+dP8Abi5/aK1Y/wDTva/+gV9Rwi/9uf8Ahf5o8rOf93+a/U+QJO1UnHBFXX65qq45INfprPk2UH61UZeCtXnGR9KquO9NMgoOOM1Vcc5q+6gHHrVR1zxVAUnHNVGXgg1eccZqs471UQKDjIzVVxzmr7jn61VZexqiblFxg/WqrLjg1ecZFVnHerTJKLDIxVVxkZq+471VcYNMCi471Xcd6uMvVaquMrQBUcYOarMMGrjDK1AwyKpMllJhg1WYYOKusMiqzjjNNMkpsMHFVWHBFXXHeqrjBpgU3+7UNWWGDiqx44ppk3K9QsMGrDDDVDIO9USVWGGqswwauOOM1Wcd6YFQjBxVcjBxVtx3qu470AVCMHFVyMHFXHXPIqFhkUAU2XHNRMueatEdjULLtNBLZUIyMVCQQcGrbLnkVEQCKBFR17ioiARVogg4NRMuORRcRUIIODUTLjkVbIBFQkEHBq0BVIBGDUJBBq2ydxURAIwaYFVlzyKiIxxVkjBxUTjvQBWdcHIqNhkYqwQCMGoSMHFAmVqidccirLr3FRkZ4oF5Feo3XuKlIwaSgVyvSMMipHXHIplAivRUzLmoaAImXHIplWCM8VCy7aAIGXHIplWKYUHagCuyA8ioypFWCpHWkoEV6aVBqwUBphQjpQIrmM9qaQR1qeigV+5XpCAetTlFNNMfpTEQFBTShqYgjrSUXAgwR1pKsUhANDsBBRgHrU2xaYUNICPapqGeMGCTn+Bv5VYIIqORS8TovVlIH4immwZhfEdD/wAJ1qeP+ekf/oqOuIII6133xKXyvF1zqDkCC9WKeBzwro0ajgng4III7EYNcF9ptT1lT/vof4148Xoj0ZbjaekohdZmBYIQ2ByTg54qMzWh/wCWqf8AfQ/xpplt+0qH/gQ/xpSjzJpgnZpnq1v4o8OXVqb6G+g8scsS4Ur7EE5BHcGvOtV1Gz1jUJL+xbzIThVfoG28ZHsex71hyQ6VLJ58ywM/95thYfjVj7Tbf89U/wC+h/jXz+U8PLBVpVlPm0ttb+tj1sfmzxNNU3G2t9x3ljt/n9aQoab9ptf+eqf99D/GlFza/wDPVP8Avof419DY8gXY1XLDVE0l3jv7c3VlMQ0iKNzI6jAcD+IY4I6+lU/tFsf+Wif99D/Gj7Rb/wDPRP8Avof41z4vBxxFN0539Vo0+6ZtQrSpTU4/jszrT4k+GYiEiSQOx6RojNJn02Abv0rm7u+bVp1nEJtreIFIIT1Ck5LNjoWPbPAqD7TD181f++h/jSedB3kQf8CH+NebgckVCp7WdWU2trt2XS/qdeKzJ1Y8kIKK626i7Fpdiik823z/AK1P++h/jS+bbf8APVP++h/jXtWPMfqOqrLPPbDgS7A/mJJBgywyYwSFPDqw+8v86s+baf8APZP++h/jR5tp/wA9k/76H+Nc2KwsMRT9nP8Ar+vua0NKFeVKXPEylkt4wURWlFxiSSG3thbCY+sjt9xc9UHP1BrTUzuzT3JDSyHc20YXPoPYDgewp/m2n/PVP++h/jQJbX/noh/4EP8AGssNl9OjN1Fdyf8AwP8AL+kaV8XOpFQeiClCk04TW38Lp/30P8acJbfPMqD/AIEP8a7rHKNKEKT1PYf5NasniWBtOXS/CweN2H76d0KmM9wNwGX9DyB19BWd5tr3mT/vof407z7Qc+an/fQ/xrhxuX08U4e1vyxd7dH6+h14bFyoKXItXpfqvQht7eO3iEMC4UfiST1JPcnuasBDSfabb/nqn/fQ/wAaPtNt/wA9U/76H+Ndy0Vkjlbvqz0X4RRg/Fzwj/2H9K/9K4q/0fPCXCr+Ff5wPwhuLc/FzwiBImTr+k/xD/n7i96/0f8Awnyq++K+B40fv0fR/ofVcOfDU+X6nuWlfcFdXD/SuU0rG0YrqoPWviD6UsUUUUAf/9T+/ST7tYN/yprek6VhX/3SBQB5B4ozsav51P24AD+0Xq3/AF72v/oFf0V+J/uMa/nX/bfH/GROrH/p3tf/AECvp+Ev99f+F/mjys5/3f5r9T49cHBHpVZxxmr7jvVVxg4r9LTPkyg45zVV16irzjgiqrjjNUQUHHH0qq471fkHOfWqjrzg1SYMouMGqrr2q868fSqkg6NVENlJxx9KrOO9XHHJFVe3NXcRTcYOarOuD9aukbhVdhkYpgUGX+E1VccfSrzjvVVxyfemmBRcd6qOOcVdccfSqsg6GquK5TqvVpxhqrsMGmSyu3DGqzDBxVpxzmoHHemmIpMMjFVXHGauuMNVZhgkVYFJx3qs4wc1dI7GoGXHBoJaKTjvUTDIq0y44qBl2mgkqnkYqswyMVcZcHNQOvcU7gUiM8GoSMcGrjrnmoWXIp3FcpMu2oXXuKuEZ4NQFStO4rlRlz0qEjPBq2y45FRMu6mTcpFStRMvcVcIzwagIINAFUgEVCQQcGrbr3FREAigCoydxURAIq0Rg4qF1xyKaYFUjBxULjHNWnGRmoSMjFO4FZhkVD7VZIwcVC4wc07k3KrDBqN1yMirTDIqCi4rleoWUirTJ3FR0XEViAetRshHSrTJ6VERjii/YCvUZT0q0UB5qIqR1ouBWppUGrJAPWoyh7UXArFCKbVimlQaYmysUB6UwqRVgoRTaAK9NKKasFQaYUI6UE3K5Q0yrFIVBoEQEZ4qJkPapipFJQBXoqYqDUZQigBtMKDtT6KAISpFNqxSFQaAIKKkMfp/n9aaUYUANppRTTqKCbmlZ61rOnRfZ7K5dI8lghAZQT1IDAgE9yBVo+LPEY63P/kKL/4isOiodKm3dxX3IpVJLRN/ebf/AAlviL/n5/8AIcX/AMbo/wCEt8Rf8/P/AJDi/wDjdYe1TSbFpexpfyL7kHtan8z+83f+Et8Rf8/P/kOL/wCN0h8V+ITz9p/8hxf/ABFYexaNi0expfyL7kHtZ/zP7zb/AOEq8Qf8/P8A5Di/+Io/4SrxB/z8/wDkOL/4isTYtGxaPY0v5F9yD2s/5mbf/CVeIP8An5/8hxf/ABFH/CVeIP8An5/8hxf/ABFYu1aMLR7Gn/IvuQe1n/Mzb/4SzxD/AM/R/wC/cX/xul/4S3xF/wA/R/79xf8AxusTAHSin7Gl/IvuQe1n/MzcHivxIeRc/wDkOL/4ikHinxHn/j5/8hxf/EViUUvY0/5F9yF7Wf8AMze/4SrxH3uv/IUX/wARS/8ACVeIv+fr/wAhRf8AxFYOCelKEan7Kn/IvuQnVn/Mze/4SrxD3uv/ACFF/wDEUv8AwlXiAdLn/wAhRf8AxFYYjHel2qKXsaf8q+5C9rL+Z/ebh8V+ITwLn/yHF/8AG6UeKfEf/Pz/AOQ4v/iKxKKfsaf8i+5C9rP+Z/ebg8UeIv8An5/8hxf/ABulHijxD3uf/IUX/wARWFRS9jT/AJF9yD2s/wCZ/ezfHijxB/z8/wDkKL/4il/4SnX/APn5/wDIUX/xusDBpdjUexp/yL7kHtZ/zP7z0rwD4p8Qf8LA8OqLnG7WNNU4ji6G6iB/gHY/Wv8AQY8Jg7V/Cv8APK8Ax/8AFwPDmT/zGdM/9K4q/wBDbwn91Pwr8449hGM6HKraS/8AbT7LhScpKtd/y/qe46V/qxXVwnNcppWSgzXVw/0r8+PrieiiigD/1f79JPu1g3/3DW/J92sC/wDuk0AeQeKMFGHtX87f7bn/ACcTq3/Xva/+gV/RJ4n/ANW1fzuftuD/AIyI1Y/9O9r/AOgV9Pwm/wDbX/hf5o8nOn/s/wA1+p8hsAcrVVxkZq171C/3jX6Sj5JsoOOc1TYcEVeccVUcc/WqQioRkYqq4yM1bPHFQN1NUBRcYOfWqTjgj0rQccfSqkg5+tXchme/Y1VIwcVdcHbz2qo/XNUmIqVC33qsMMGq7/eppibKjjqPSqjjvV9xzmqjr1WqE2UXHP1qoy54q865GRVd1zyKCblBlyKrsuRV5x3FVnXHIq0wKTDIquwyKuuuORVd1wc0wKTDIqsy5GavMuDkVXdccincCky5FV2XIq6645FQOvcVVyblJlyMVXYZ4NXnXuKrsueRRckpEdjUBGDg1dZdwqBlzwaYFJlwahde4q4VxwahZdpoEyky55FQkAjBq2wwarsMGgllYjHBqFlxyKtOOM1FVrcRVZc8ioCM8GrbDBqNlzzTApFStROvcVbIyMVAR2NAFVxkVAQCMGrRGDioXXBzQK5VIxwagZcGrbrkZqEjIxQSVWXPIqIjPFWSpHWo2QHkUCuVGUimFQetWiCODUbJnkUAVCpFMKg9askY4NMKdxQBUKkUwgHrVogjrTCgNAFQoR0plWSpHWmlQaBXKpQdqjII61aKEdKZVbiuViAetMMZ7VZKA9KjII600xXK5BHWmkA9askA9ahKkc0xEDJjkUyrFMZM8igCBkB6VERjip6QgHrSuBBUbJ3FTMuKbTAr0VOVBppjHalcCAqDTDGe1WChpu1qYrkG1hSYI61PRQK/cr0VPtBpNi0C0IabsWp/LX/P/wCuk8sdv8/rRcVyDy1o8sf5/wD11P5f+f8AJpPLb/P/AOugCDy/8/5NHl/5/wAmp/Lb/P8A+ujy2/z/AProAg8v/P8Ak0eX/n/Jqfy2/wA//ro8tv8AP/66AIPL/wA/5NL5Y7/5/WpdjUmGoAj8tf8AP/66Ty/8/wCTUuDSUCuiPy/8/wCTS+WO/wDn9afRQK6G7FpQoFLS4JoFdCUU7Y1O8v3oAjoqYKop1AiLY1OCDvT6KAE2qKWnBWPbFOEfqaAI6Km2qKXAoA6XwCpPxA8OY/6DOmf+lcVf6GPhTG1R9K/z1/AAJ+IHh0/9RnTf/SqKv9Cfwn91Tj0r814++PD/APb3/tp9pwltW/7d/wDbj3LSvuDFdVDXK6V9wV1cP9K/PT7AnooooA//1v79JOVrBv8AO0gVvyfdrAv/ALhoA8h8T52N9K/nc/bc/wCThtVP/TC1/wDQK/oi8Ucow9q/nh/baH/GQ2rD1t7X/wBAr6bhT/fX/hf5o8jOv93+a/U+QHGDVdvvVcdcjHpVZx3r9HTPkim68ketU3HGavuOc1UdeoqwKDjB+tVm6mrzrxjvVVxnmrTFcqOOfrVNxx9KvOO9VXHP1pktme4wfY1WZcfKavsv8NVXXIxVJiKDL/DVZlzV9xxkVWde4ppksouMj6VVde4q+645FV3XH0qkyTPdcciq7rg5q8644quy44NWgKDLg1XZcGrzL2NV2XsadwKDLjiq7Ljir7Lng1WZc8GncTKLLjiq7LjirzLng1XYZGKq5Nyiy4OKrsMHFXXGRVZxkZoEU2GDioXXHIqy471ERkYoAqMvcVCy5q1ULjBp3ApsuRVdhkVccYOfWq7DBqhXKjDIxVdhkYq44wc1XcYOaZLKhHY1XPHFW2XnIqJlzzQIrOMjNRVYI7GoSpWquBXcYOahdf4hVphkVDRcCqy5FQkZ4NWmUiomTPIp3Ja6lMgg1GyA8irZHY1EyY5FFxMqEdjUZTuKtlQetRFSKLiKpGeDURQjpVsqDUZUincCoQDwajKEdKtlQeaiKkUAViPWoynpVoqDUZUigRVI7GmFB2q0QD1qMp6UC9CqQV600qD1qzUTJjkUElZlK00jPFWKiZMcincCuy45FMqxUbJ3FFwK7J3FR1YppUGi4EBUHrURUirJQ0znuMUcwFekIBqzgHrTCimgTK5QU3yz/n/9dWfLPb/P600qw5xRdh6FcqwpvTrVnBpKLkvzK9JtU1YIB60mxaBFfYtJ5Y/z/wDrqx5Y/wA//rpPL/z/AJNPUCv5f+f8mk8s/wCf/wBdWPLP+f8A9dHltTuBX8tv8/8A66TY1WNjUbWFO6Ar7Go2NU1FOwEGCOtJViikBXoqfatJsWgWpDRUvlr/AJ//AF0eWv8An/8AXRcNSKipPL/z/k0vlrSuLUioqbYtLgUXEQYJ6U7axqanbWNAiDy2pfLHf/P61Psal8v/AD/k0XAh2LTsAdKmCKKcB6UXAh2saUIan2saURnvRqBCIx3pwAHSpggpwAHApgdN4AUn4geHT/1GNN/9Koq/0IPCfIXHtX+fP4BVj4+8Pf8AYX03/wBKoq/0F/CeCij6V+a8ffHh/SX/ALafacJfDW/7d/U9y0vJQV1cPH5VymlfcFdVDmvz0+wLFFFFAH//1/79ZPu1gX/3Sa3pPu1g3/CkUAeQ+J8eW30r+eP9tgZ/aE1Uelva/wDoFf0OeJ/uN9K/nm/bVH/GQmrH/pha/wDoFfS8K/74/wDC/wBDyM6/3f5r9T5Ecd6rOMHir7rj6GqrL2Nfo6Z8kUHXtVV1zx3q865GKrOO9NMTZnuvcVWcY5rQdcciqjDkrVXJuUHXHHaqrr2rRZe1VWXP1qriM91z+FVnXPIq+69xVZ1wc+tUmBnuuORVZ1wc9qvsOcGqzr2NO4FF1wcdqrMvY1fZexqs69q0Mygy9jVV14+lX3HGfSqzjvTTAoOOM1Ay5FW2XGRVYjHFVclsqsuarsuRmrZ61C4wc07iuUXHGarOO9XnGDVVl/hoEUnGDmqzDBxV1lzxVZlyKdwKTLjg1XIIODV1lz9agZc8GqTApMMGonGRmrbL2NQMuKYrlVhkYquRkYNXGXHIqFlzyKdyblFhng1Ay9jV1kB571CVzwaq4ikVK1Cyd1q6y461CyY5FO4FIqGqIjHBq6yA9KhZexoApFMdKiKg81dZCOlQsgPIoC5TIxwaiZO4q4V7GoihHSgVymQD1qIqRVwqDURBBoJZUKg1ERjg1bZe4qIqGoEVSgPSoyMcGrBBHBprDIp7gVSmelRkEcGpyMcUEZ4qkwKhQHpUZUjrVll200gHrTAqsoNREEdatMhHIqMgHrQSyqyA8ioiMcVaKkUwqD1oEVWT0qKrJUimlQetAisUB5qEjHBq2UbtTcEdaAKpAPWmGP0q0VU00x+n+f1oAq7GFNqyVYUhGPvUAVtqmmmMdqslFNN8v0oArbGpCrCrBRqbQKxXwR1o471YpCoNAalbappNi1Z2LSeWv+f/ANdBOhW8v/P+TR5Z7f5/WrHl/wCf8mk8tqdxFfy2/wA//rpCjCrG1hTafMBXoqxTSqmlcCGk2qam2LSeX/n/ACaLoCDy1o8sf5//AF1N5bUmxqLrsBD5f+f8mk8tv8//AK6n2NRsai4EHlt/n/8AXS+X/n/Jqfyz/n/9dL5f+f8AJouJlfy/8/5NLsWrHlr/AJ//AF0eWtF2LQg2LS4FT7VzTgPSi4tCDBPSlCsasbGpdjUgK/lnv/n9ad5Y7/5/WpxH6/5/Wl2LQIg2qKcF9BU4UDpT9rGncCuEY04R+v8An9anEZ707yxRoBAEWnBfQVOFAp21qYHSeAkb/hPfD56f8TfTv/SqKv8AQP8ACeNq+2K/z+fASH/hPfD5/wCovp3/AKUxV/oD+EycKPpX5vx78eH9Jf8Atp9pwl8Nb/t39T3HSsbBXVw/0rlNK5QV1cIxX56fYE9FFFAH/9D+/WT7tYF/901vyfdrBv8A7pxQB5B4nGUbFfz1ftpj/jITVc/88LX/ANAr+hTxRjy2PtX89/7aS5/aB1X/AK4W3/oFfScLf74/8L/NHkZ1/u/zX5M+R3XqKrMuRV5x3qowwcV+iJnyRSccZFVXUD6Gr1V3XqtVzCaM514Iqo471oOO9U3XqKpMgosMNULjnNWXHGarSdqpSArOuDn1qm69RV9hkVVcd6pMRnuO9V5KvOvOOxqoy5GKtMm5WYZFVnHerdVyM8VVxFJxz9aqMvVavuvaqrr3p8wFBxkfSqrr3rQde4qs646dKq4mUHX+IVA/3ausuPpUDLj6UEtFJhkVWcZGavMuORVd1xz2qriKDr3FQMmeRV9lxyKrsncVVxFBlzyKgZc/Wr7LnkVAyZ+tArlBlzwahZccGrzLng1Ay9jVcxJRZcfSoGXHIq+y4qBkxyKdwKLJnkVCyg9avMmeRUDLn60wKTLjg1Cy45FXSvY1XK44NAFRkzyKhIB4NWmGDUTjvTuIqlSKiKZ6VbqFhg0XFcqsvY1Cykc1dKg1AVxwadxMqMueRUJGRirbLiomXPIqriKZGDiomXuKtkA1CQQcGgCqQCKhII4NW2TuKjIzwaAKrLmoatlCOlMIzwaAK5GeKgYYNWynpUZHY07kleo2TuKslB2phUii4rlWoynpVoqDTTGe1F2IpkY4NNKA1aI7GmFBRcCqUI96Zg96tlD2ppBHBov3AqFFNNMfoatFFNNMfpRcCqVYU3APWrJBHWkwD1p37gVCgNMKkVc2LSeWO3+f1poVylSEA9astF/kVEUPancLkJjHamFGFTYI60UE37FeirGAetNKLQFyGipPLHb/AD+tHlnt/n9aBEdIQD1qTy2/z/8Aro2NQBEUU00x+n+f1qfY1Jsai6Ag8tqTY1WdjUmxqLoLlfY1Gxqs+W3+f/10eW3+f/10XQrlbY1L5bf5/wD11Y8tv8//AK6PLPf/AD+tK4X8yDyz3/z+tL5Y7/5/Wp/LH+f/ANdL5a/5/wD10xXfcg2LRsWrGxaXC0CuyvgU4A9qmwKWgRCEY07yz3/z+tSUUAMCCnbVFPCMacI/X/P60AR0oBNTBVFLQBGI/X/P607YtOpwQmgBuAOlGCelShB3p+AOlAXOl8BI3/Ce+H/+wtp3/pTFX+gB4U+6uK/gF8B/8j74f/7C2n/+lMVf38+E8YU/Svzjj348P6S/Q+04S+Gt8v1PctK4QV1UP9K5XSgNgrq4f6V+fH2BPRRRQB//0f79JPu1g3/3TW/JwtYF+flJoA8h8T/cb6V/Ph+2h/ycHqv/AFwtf/QK/oP8Ufcav58/2z1z+0BqpH/PC2/9Ar6Phf8A3x/4X+aPIzr/AHf5r8mfJbr1WqjjvV91/iqs696/QUz5IzmXBqu/3qvuvY1Vde1WmJlJ15+tU5F4+laDqcY9KquvcU0yWZzjHNVXXH0NaTriqrLjg1aYjPZccGqxGODWgy/wmqzp2NUmQ7me654qs65+taDrn61Wdc896u4jPZc8iqzr3FaDr3FV2XHIquYDPcd6ruvcVfdcciq7LincDOZcfSoGXH0rQZcfSqzLj6Uybmey4+lV2XH0rQdMfSqzLjinckosuPpVdlx9KvsMHFQMmOR0qkwM9kxyKgZO4q+yY5FQMncU7gUGTPIqBlz9avOv8Qqu6/xCr5ibFJlzwagZexq245zUZAIwadySiy461CyY5FXT6VEy45FAFBk7ioGXPIq8645FQOvcU7hcosufrUDLkYq669xUDrnkUXJuUWXPBqArjg1eZd1QsvY0+YVyiVIphGRirbKRURQHpVCKRGOKay7qtMvY1EyEcigCoR2NQsuKuFQaiKkdaaYFNkzyKiI7GrpQdqiK9jTuBTMfpURUHrV0x+lRkdjRclspFD2phX1q4Y/SoyvY07iuUzH6f5/WmFcdauFB2qMqRRcVymUB6Uwowq4UBpmxqLgUyoNMMfpVwjPBphjHancCmVIphRTVwqRTCoNAFMxntTSCOtWihHSmEA9aAKpQGoypFWjH6UwgjrQIqkA8GmGP0q0VBphQigTZVII6ikqwR2NNKKaBXIaQgHrUvl/5/wAmk8s/5/8A10+YRAYwab5ftVjY1Jg0XAq7B0IxTdi1bz2ppVW60XAq+WO3+f1o8v8Az/k1Z8tPSjy1ouwK3lnt/n9aTyz/AJ//AF1a8tf8/wD66Tyx/n/9dPmYFbyz/n/9dHlt/n/9dWvLX/P/AOujy1/z/wDro5mFyr5bf5//AF0eWf8AP/66teWv+f8A9dHlj/P/AOujmYrlby/8/wCTR5fvVnyx/n/9dHlr/n/9dHMxNlby/wDP+TS+WP8AP/66s7FpPLWldiuQbFo2LU/lr/n/APXR5a/5/wD10XYiDYtGxan8tf8AP/66XYtO4FfYtLtWp9i0bVouBBgDpS1Phadg07gV8GlCMasBGNO8s/5//XRcCt5Z/wA//rpwjFWNg704IM8CjmQiAL6CnBGNWAjEZ6Uvlnv/AJ/Wi4iAR+v+f1pwQCrARacE9BSuFzo/AaH/AITzQAB/zFtP/wDSmKv78fCX3E/Cv4GPAkZ/4TvQM/8AQW0//wBKY6/vn8J52Lj2r8548fv0PSX6H2vCPw1v+3f1PctK+4MV1cNcppfCDNdVCc/lX5+fYliiiigD/9L+/ST7tYOofdPpW9J92sG/+6eaAPIPFH3GOe1fz9ftmLn4/aqf+mNt/wCgV/QN4n+4w9q/n9/bJGfj7qpH/PG2/wDQK+h4af8Atb/wv80eRnX+7/P/ADPkx171WdcfStF17iqzJjr0r79M+SM117Gqzp271ounY1Vdc/UVXMQzPdc896quvcVoOO9V3X+IVaYjNdcfSqzp2NaLpj6VWdOx6VSYGa69qruvatB17VXZc/WrUhMznXP1qs655HWtF0z9arumfrVXJZmuncVWdccitJ17iqjr+Rp8wig64+lV2XH0q469qg9qq4myky4+lVnTH0q+wwcVA64+lO5BnMuDiqzr2NaDr2NVmXIxVpgZzrn61DV11zyKrOvcUwKdROuORVlk7ioiMiqTApOuPpVdlx9KvEdjUDLjg07k3M91xxVcjBq+y9jUDLjr0pklFxzmmVbZCPpUBT0p3AqEYOKgZcVcZAahK9jTUhNFJlxz2qBk7irzIRURTuKaYmigyA1Cy9jV9lB61CykdaYmUShHSoigPNXinpULIDTuIpMuODURT0q8yEdaiKelNSAoMgPWoypFXivY1EU9KdxNlEoD0qMqR1q8yg9aiKEc0XFcpFB2qMqR1q4UB6VGRjg0yblIp6VGR2NXGTuKhIDUAU2Uim1aKkVGUB5oArlAaiIIODVggjrTSAetAEBAPWmFB2qUoRTaAICCOtMKA1aIB61GU7incVyoVIppUGrNNKA07iuVChFMI7GrZQimEdmFO4rlQxjtTNjVc2LTTH6f5/Wi6EVNp9KaVHpVvY1IUPcU7gU/LX/P/wCuk8v/AD/k1a2qe1GxaVwKhQ0mxqt+WO3+f1ppjPb/AD+tF0BV2tSbSeoq35bf5/8A10eW1PQCntHpSbFq5sak2tRcVypsWjYtW9pPUUmz2oAqeWv+f/10eWv+f/11b2e1JhfSgVytsWjYtWcCk2qaCblfYtJ5a/5//XVnYtGxaAK3lr/n/wDXR5a/5/8A11Z2LRsWgCt5a/5//XR5a/5//XVnYtGxaAK3lr/n/wDXR5a/5/8A11Z2LRsWgCvsWjYPSrIUHoKeENAFUKewp/lt/n/9dWPLb1/z+dO8sd/8/rQK5W8v/P8Ak0vlrVnYtPCegoArBPQU7Y1WfLb/AD/+uneWO/8An9aCWVhH6/5/WnBB9asiMemaeENAFYIewp/lnv8A5/WrHl/5/wAmnCMfWgR0HgVFHjvQD/1FbD/0ojr+97wkPkTPtX8FngZCPHOgkD/mK2H/AKUR1/en4S+4nvivzrjv46HpL9D7fhD4a3/bv6nuWlD5BXVw1ymlfcFdVDzzXwB9iWKKKKAP/9P+/WT7tYN/90mt2TpWDqA+UigDyDxRnY30r8A/2x1H/C/NVI/5423/AKBX7++J8hGNfgP+2IP+L96q3/TG2/8AQK9/hv8A3t/4X+aPIzr/AHf5r8mfKLLg1VI/hNaLr2qnIp6+lfepnyRSdOxqq6/mKvPmoHXPNUmQ0Zjr37Gqrr1WtKRfyNVHTPHcVaYihUDqM4q24zzVZx/FVpgU3X9KqOvcVouBjNVXXvVcwrme45qFwMZq26dqrspxg1SZJTde9VXQfhV8jHBqu6jODTTEZrp2qq655FaTp2NVmXP1qrgzNdDnIqJhkVeZM/Wq7JnkVSdiGiiwyKrOufrV9kzyKgZM/WqTEZzrnkVXZM8itBkz061AyZ+tVcGZzJnp1qB0zWiyZ69agZPWnzE3M5k9ahZOxrQZPWoGTH0p3JM9kx1qBkI6VoMnpULJ6U7gZzJ3FQFAfatFkz9ahZOxp3Az2T1qBkx1rQZexqBlxT5gKJT0qFkB+tXygPSomT1FUIz2TsRURQjpV9kIqFk7immTcoFAelRFexq8y5+tQMueDT5hFMp6VEUBq2QR1qFlxyKdwKzIRURjHardRuvcU7hYplexqJkxyKukZ4qJk9KCbFJkB6VCV7GrzLmoWXsaBWKRQjpURUGrpQjpUTKDQIplSKiKelXShFRlB9KdwKZQ+majKD6VdMZ7Uwr6incCkUPamlcdRVwxjtxTChHvTTJsUti00xntV0r6imGMdqYimUPcUwopq6UNNKHuKBFIx+n+f1ppQ/Wrmxab5f8An/JoAplPam7Fq7samlD3FAFLyx/n/wDXSeWf8/8A66tlB6UhjHagCpsamlR3FWyhphHrQBW2qab5Y7f5/WrJRab5f+f8mgCsUNJtYVY2NSbWoEV8GkqxRQTcr0VPhaMLQIgoqfC0m1TQBDgHrSYWrG1aMLRcCvhaQqvWrOBS4zxTTAq7VPSjatWtntRs9qd0BV2LSiMdcVb2NS7GouBV8v2pQhq15Z7/AOf1pfLHf/P60cwFbyz3/wA/rS+WP8//AK6shBTtntS5mSVRGKds9qtBD6U7yz3/AM/rRcNSqEb6U7yz3/z+tWQgpwQelFwsVRGBTwnYCrO0joKUIxouxEAjNOEY71P5Z7/5/Wl8sd/8/rRcLEO1RTgCelTBB2FPCH0pCOi8Cp/xXOhZ/wCgpYf+lEdf3keE/wDVrj2r+D7wOh/4TjQj/wBRSx/9KI6/vB8JZCJ+FfnnHPx0PSX6H3HCPwVv+3f1Pc9K/wBWK6qE5/KuU0oEoM11cPt0xXwR9gT0UUUAf//U/v0k+7WDf/cNb0n3awb/AO6aAPIPE/KMPavwN/bBH/F+tV/6423/AKBX75eKP9W1fgj+2Aufjxqg/wCmNv8A+gV73Dv+9P0f6HkZ1/u/zX5M+V3UdKpuvetF0/Oq7rn619xzHyRlun5VWdccVpOncVWdPyq1IDNZexqs6VpOnrVZk7GrTIZmOh7VVZO4rUdPXrVZ0q1IRmMmOlVmTH0rSde4quyelVchmY6flVd09a03T0qsyflTTEZjp2NV2Tsa0mTj2qu6ce1UmBmMnY1XZPWtJk45quycc1XMBmunY1XdPWtJk45quyetWmS2Zrp61XZPWtJkx1qBk/KquSZrJ2NV2Tsa0mT8RUDJ6c1SYGayY4NQMuPpWiyelV3TuKfMLlM9k9KgZO4q+yY5FV2UjmndE2KLID0qFkz1rQKg9agI7GncRnsnrVd07GtJkx9KrsmOvSq5gM1kxwagZMdelaLJj6VXZOPUU7k3M8qRTGGRirjJ6c1AU9KpMkp0xkzyKssg78VGVIpqQFNkz9ahZexq6yZ5FRMvY0cwFBlx1qEoR0rQKEe9QlB2p3AzygphUirzJ61GU9KdxGeY/SmEEdavMg78VGUPagTKTLnkVEVPerxQd6jMZ7U7klAx+lRlPUVfMY7jFRmM9qLgUTGO1MKHvzV4p6iozH6f5/WmpAUSgphRu3NXjGe4qMxjtxVXAosnqKZ5Y7VfKEVGVBoApbGppUdxV0oO1MKkU7iKRRT0ppjParmBTdi0gZTKHuKYUBq95f8An/JppRhTuSUvLHb/AD+tNKHtVwqD1phj9P8AP60XEUyvrTSimrmxqaV9RRcCn5f+f8mmlGFWzGO1NMZ7UXYFMqKbsWrhU+lJsz2ouBT8s9v8/rSeW3+f/wBdWvLFHlj1ouBU2H0pNnHSrfl/5/yaPL/z/k0XAqeX7Umz2q55f+f8mjy/8/5NPmFcp7Pal8vParfl/wCf8mjy/wDP+TTuidCp5Z9KPLPpVvy/8/5NAj9TRdAVdho2NVvyxR5YouhFXyz/AJ//AF0vl/5/yat+WPSl8vHajmQFPYO9LsWrnln0pwjNHMgKflj0p3ln0q35f+f8mjy/8/5NHMBW8tv8/wD66Xy/8/5NWhGPrThH7UcwFQIKXYPSrnlkdqXyzS5gKgj9qfsarPl/5/yaBH6mjmAr+We/+f1pfLHf/P61ZEYPaniM+lHMIqbBThH2Aq2ENL5f+f8AJpczEVvLb/P/AOulEfr/AJ/WrQjH1p4T0FFwubngdB/wm+h9/wDiZ2P/AKUR1/dv4T+4g+lfwq+CEI8baIf+onY/+lEdf3VeE/uLx6V+e8cP36HpL9D7bhH4a3y/U9y0r7gxXVQ+tcrpQ+QV1cP9K+EPsCeiiigD/9X+/ST7tYV/kKQK3pPu1gX/ANw0AeQ+J87Gr8Fv2vFz8dtUz08q3/8AQK/ejxPyjD2r8Hv2uFz8c9Vz/wA8rf8A9Ar3OH3bEv0f6Hk50r4deq/Jnyy6djVV059603TA9qrOnY19qmfJNGY6elVmTuK03SqrJnnvVKQjNZO46VWdOPatN09OtVmTPStFIhmY8frVZk7GtKRBVVl7Gr5hGc6fnVZkz9a0mUZ21A6etNSAy2TJ461XZM9K0XT86ruMj3q1IlozmTuKrMnpWmVBqu6fnTUiTLZcc1WZcHFabpnkVUePA9qtSEygyY5FV2THIq86Y4quQR1qkyCi645HSqzLjpWi6gciq7pxxVcwGcwwaiKA9KusmPpVdlIqkwKTKDyKrslXWUg5qMqGppgZrJ6VXZO4rSZc/Wq7p+BqlIlszGTHIqBkOcitJo/wqBo/XimmSUKgYYOK0Gj9agaM/WquBRZO4quydxWgY/SomTPWmmKxmlPSoWj9a0WT1FRGP0qrktGcYz9ahKelaJj9OKiaP1p8wjOaP14qIxn61omM9qhMY7UcwGcY/So2T1rQaP1qMx+lO4mZxT0qNk9avlB3GKYYz9aLiM4xkD1qMqD7VfMfpxUTJ2NO5JQZSODTCgNXTH6VCyfhTTAqlDURQd6uFSKYQD1p8wFQxntUZT1FWSMHFJTTApmP0/z+tRsnqKvFQajZCKYFEx+lRlfUVeKA0woRRcVygY/SmFSOtXSg78Uwoe1O4rlIoDUZRhV4x+opnlj/AD/+ule5JSwR1oq35Z/z/wDrppjPpTuBVIB4NNKCrRj9qb5YouBUKNTaueX/AJ/yaTy2/wA//rouBT2qaaUFXTGT2ppj9RRdgU/LP+f/ANdJ5bf5/wD11c8selJ5fsafMwKZQ0nlk9queWKPLX/P/wCujmAp+WfSk2e1XfLH+f8A9dJ5f+f8mnzIRT2e1Gz2q55f+f8AJpfLGf8AP+NF0JlLZntS+WfSrfl/5/yaTyz2/wA/rRdCuVfLPpR5Z9KteW3+f/10eW3+f/10XQiv5bUeW3+f/wBdWPLb/P8A+ujy2/z/APro5kBB5Z7/AOf1o8v/AD/k1P5bf5//AF0vl/5/yaYEHlrS7Fqfy1pwUCi4EAT0FOEZ+lTUuCelLmQEPlt/n/8AXS+X/n/JqXDelLsajmQEXlr/AJ//AF0uxamEfr/n9aeFx0o5gK/l47U8IfpU+1qdsajmEV/Lb/P/AOuneWO/+f1qwIx3NOEWegzS5guVhGtPEfoKs7Gpwj9f8/rRzElbyz/n/wDXTvLHf/P61aEWenNPEf4UuZgbngmMf8JronH/ADErL/0fHX9z3hLOxMe1fw2+Co/+K00X/sJWX/o+Ov7kvCf3E/Cvz/jb46HpL9D7fhH4K3y/U9y0vJQV1cPH5VymlcIK6qGvhj7AsUUUUAf/1v79JPu81g3/AN01vSfd/GsK/wCFIoA8g8T/AOrb6V+Ef7Wif8Xy1Ujr5Vv/AOgV+7niflW+lfhX+1iufjhqn/XO3/8AQK9rIn/tL9H+h5Oc/wC7r1X6ny+yDqKrMlaTx81VZMcivsOY+UZmunFVHj/OtRwAagdARVqRBkuO9V2QHnvWm8dU3QjpWikJoz3jzVR09elaTqQc1A6DqKtSJaMp09etQEdjWk8fHtVR4zVKQii8fFVHj/OtIjHBqF0FUpAZLpjpVdwetajx1VePn3quYhmeyg1XdM/WtBo+feqzpVKQjNeP0qsyflWqyZ61WaP86vmFYy2j/GoChHStNo/wNQPH61XMTYzHTuKrtH6VptH61A0frT5hGWyelQtH+FabR+tQNH+NVzCZmPH61AyetaZj9KgKelO5BmtHUDR+nNajR/hUDR+tUpAZbR+lQtH+FabR+vNQmP0qkwMxo/WoWjP1rSaP0qEoPpVcwGaU9KiaMd+K0mj9ahMfpT5hMzWj9eaiKelaTR/hULR+tO5LM1o/wqIrjrWi0f4ioDH6UcwigydxUJUGr5j9KhaP14p8wFMx+lRNGPpVwqRTGGRTuFii0frzURT0q6QR1phUGncloz2jH0qJk9a0Sh+tRFB2p8wmjNKf3aiZB1PFaLR+tRmM9qfMIzih7c1GUA9q0TGO4qMxnsad0Bn7PQ0mw1eMbHqP1pnlgGi4jP2D3FNMZ7f5/WtAoe1MMfqKdxNFEoe/NRmMfSr5QUnlnt/n9aLisZ/l/wCf8mmmM/WtAxmmGP2ouIz/ACh6U3yxWh5Y7f5/Wk8s9v8AP607sDP8v0/z+tJ5bf5//XV4xn0pvl+1HMBR8v2pvlj0q+Yx3pvl+n+f1ouBR2LSeWP8/wD66umMnrzTPKA7UcwFTy/8/wCTSeWfX/P51Z8tfU0GP0/z+tPmEyt5bf5//XSFDVny2/z/APrpNjUcwivsPpSeWfSrOxqTDU+ZCuV/LPpR5Z9KsYajDUXQir5Y9KPLHpVrDUYai6Aq+WPSk2LVzY1GxqLgU9i0BAau+We/+f1pfL/z/k0XApeWPSjyx6Vd8v8Az/k0eWO/+f1ouBSEftTvLPpVzy1/z/8ArpRGKLoCmIzjjilEZ7/5/Wroj9qcIz9KOZAUdg708Rj0q6Iz3/z+tL5a0cwFQR+1KIzVwRjsKf5fsKOYCl5Yp4iHXbmrgjp3ljtS5hFLyz7CnhPWrgiPpT/LNHMKxTEftTxH9KtiMU8Rn0o5gsU9oqRY88gVbEdPEQ7ZpXFys2vBcZ/4TPRTn/mI2f8A6PSv7hPCf+rQ+wr+IjwZGf8AhMtG4x/xMbP/ANHpX9u/hI/Kn4V8Fxo/fo+kv0PuOEVaNb5fqe5aVwgPtXVw+3pXKaWfkArq4Rivhz68nooooA//1/79ZPu1g35+U1vSfdrAv/umgDyHxRyjfSvww/avXPxu1Qj/AJ52/wD6BX7neJ8eWxr8OP2qhn42apnvHB/6BXsZI/8AaH6P9Dys4/3f5r9T5gcEEn/IqJ8EZrTlhzzVNoj9K+sUj5QznQGq7KRWgUwSRUDqDyKtSJaM1l7Gq7x1pPHVZ4+ParUiTLeM1VZPStV0/Kq7x1akBlMnORVdo/StR46rvH61XMS0ZLR/iKrtHx6itV09artH61fMTYy2T8arOn4itR4+ageP1quYnlMpo/yqu8fFarR+vBqu0frVKRJlNH+NV2j/ABFarx1XeOrUgMto/wAartH6VqNH61XZM8Gq5gMxo/SoGj9K1Gj9artH61XMQ0ZjR/hVdo61GT8RVdkI60+YRmNH61C8frWoUHaoCgp8wmrmUyHGDUBQitV4/wA6rPHV8xPKZxQHpUBUGtBo/wAKrNHz6GncRTaOoGjq+QR1qJ17iq5gM5kI6VXKelaZUGoWj9afMSzPI9ahZcGr7R+tQtH+NPmJKJQHpUTR+tXTGKYUIp8wGc0f41CY/StFk7io2T1p3AzDH6VEY/UVpNH+NRmMfSnzAZpjqIx+orSMfqM1GY/SncRnGP0qJo/UVpGP1GajKCq5iWZxj9KjMftWkYz9aiMYp8wjOMdMMftWkY6jMftRzAZxjH0phjNaJj9P8/rTDH7UcwGcY/UVH5fpWkYx9KYY6dwM8xmmGP2q+Y/UUwx+n+f1o5gKBjo8vjrV3a2OaYVHcUXQikYzSGP2q4UHamFGFO4mVPL9qZ5Y7f5/WrlFHMSUihppj9qvbVNN2LTuBQMYpvl/5/ya0PL/AM/5NN8s98UXYFAxmm+WfStAxe1N8v2p8wGeY/ak8v61f8sd6Ty/8/5NHMFjP8v3o8v/AD/k1f8ALPb/AD+tHlt/n/8AXRzCsih5f+f8mjy/8/5NX/Lb/P8A+ujyz/n/APXRzBZFDy/8/wCTR5f+f8mtDy/8/wCTR5f+f8mjmFYoCOl8v61e8v8Az/k0eX/n/Jo5gKXl+1Hlj0q8IxS+V9afMFil5Z9KURntV0RY7Zpwi9qOYVil5Z7/AOf1o8v/AD/k1e8v6U7y/wDP+TS5hFHy/rThH7VdEYp4j9qOYCiIzTvL/wA/5NXRF7U4R0cwFER04R+1XfLHf/P608R+1HMBSEZp3l/5/wAmrwj9qd5Z7/5/WlzAUhH7U4Rn0xV0RiniP2p8wFMRk04Re1XBHTtiilcCoI6eI6thM9BUgj9aLga/g2PHjDRuP+YhZ/8Ao5K/tp8JD5FwfSv4ovCCKPF2j/8AYQtP/RyV/a54SxsQ+wr4TjJ3nR9JfofbcJfBV+X6nuelcIK6qGuV0ofID7V1cP8ASviT64nooooA/9D+/ST7tYN/wvNb8nC1gX5+UmgDyHxP9xvpX4f/ALUy7vjTqh/2IP8A0AV+4HijOxq/En9qBC3xn1P/AHIP/QBXq5O7V36f5Hl5v/u/zX6nzOyY+lV3T8q1niIPSqrRH0r6hSPlmjJeLPJqq8da7RmqzR+lVzE2Mhozmq7Jzzwa1mj9KrPHkY6irUibGU8dV2jrTaI/hUDpgZ61akLlMpo/Sq7R+larJke1V3jrRSJMpo/Sq7R+larx+tV2j9armJaMpo6rtHWq0frVZk7GqUiTLaP0qu0eOlarx1XaOq5gMopnpVdo/StR46rPGetXzE8pmtHVZ4/atQr2aq7KM4qlIkymQiqzKRzWu8QPvVZou9VzEtGaUBqu0fNaLx1XaP1quYkzmj59KrNHWoyEDmoWj9KfMBmEdjULqB9K0Wj9KhaP0quYDOaMdqrvH7VpNH+FRMh71SkKxlNHULR/hWqY/wAagaOqUiDLaP1FRFPStNo8dsVE0ftTUgMsx/hUTR+1ahj9KhaP8KfMKxmmOoWj/CtMx+tRGP0p8wuUzWjqIx1pNH6iozH2p8wrGYY/aozHWkY/wqNo/wAaakIzDH7VGY60inpURT1FPmEZxj9qiKZ4rTKCmNGT2zVcwmZhj9Rio2jz05rRMQ7cVG0WTyM0+YkzDH7Ypmxq0mTHFRGL1H5U+YDPIHemFPSr5j7CozH6j8qakBQpNq1bZO2fzphi45FLmAqlBTTH+NWCg9aTY3bFO4FQx+1MMfrV3Y3ekZM9RRzCKBj9qYY6veX/AJ/yaTYT0NHMJmeY6aY/atHyyeuKaY/ajmJM/wAv2pvl+xrRMftTTHTuBneXR5fvWh5f+f8AJpDHTuBQ8v8Az/k0nlt/n/8AXV/y/pR5f0p3YFDy2/z/APrpNjVf8s+lHln0ouwM/wAs+lHln0q/5ftR5ftTuwKHln0o8s+lX/L9qXyz6UczAoeX9KPL+lX/AC/al8v6UczAoeXS+X/n/Jq/5Zo8s/5//XRdisUfL9f8/rS+X9avCM9/8/rS+Wv+f/10cwFAR89DTvL9qu+Wv+f/ANdKIxRzCKXln0p4jq6I/al8s9sUXYrFHy/8/wCTTvL+tXvLA6f5/Wl8sf5//XS5gsURF3p3l+1Xdi04R+go5hFLy2/z/wDrpfLJq+I6d5Y7/wCf1ouBQEX1p3le1Xti0oQdAKLgUxHilER9zV8R08RilcCiIvanCLv0q8I/apFhY+go5gKAiNPEXtWiIB3NP8paOYC/4Qix4u0j/sIWn/o5K/tR8JfcQfSv4w/CEQ/4SzScD/l/tP8A0clf2d+Es7Fx6CvhuL371H0f6H23CXwVfl+p7npZ+QYrq4a5TSuEGa6qE5/KvjD64sUUUUAf/9H+/WT7tYF/901vSfdrBv8A7tAHkHijhGPtX4q/tNJn4xaof9mD/wBAFftX4nxsb6V+L/7SsZf4w6mf9mH/ANAFellbtW+R5mbfwPn/AJnzi8fFVnjrXeFh2qs8R9Oa+iUz5loyXjqs8QPWtZ4zn0NVnjrRSJaMl4V7iqrwA+3vWw0fpVdo6tSIaMV7f3qq8BBrcaP0qu8dUpEmE0JB6Yqs8Rz0xW60faq7R+lWpiaMBkGcVXaIit54/aqzRKatTE0YTJ36VXZAa3HgU9qqPbelXzENGK0ZHSqzIR0raeEgetVWibvVcxPKZRUHrVdkBrVeBjzVV4WHOKrmEZbxVVeI+lazKV6iq7LyeKpSFYySh7VAyknIrXaIHpVZ4varUiGZbIDUDx1ptH7ZqBo6pSAy2j/CoGj9q1WjqBo/wpqQrGW0f41A0darR+tQtHVKQuUymjqFo/wrVaOoWj/CmpEmU0ftULR1qtH7flULR/jVqRLRltH+FQtH7flWq0dQtHiq5ibGU0f41E0dajRnvURj9KfMBlmL2qJo60ygNMMf401IDJMYphj9q02iqFoqfMBmmOozH7VolD9ahZOeKfMTyme0dRGP2rRI7GmlAaOYkyjFURjPatVo/aojGKrmAy2jJHNRFDWqYqiaL1quYDNIPemFFNaBiqMx0cwrIomP0qIxjvxWgY/amGOndC5TOMQphi9q0TH600x+1PmFYy/KI70hjrSMfp/n9aYYs+lHMIzjF7U0xZ9RWl5XtTDHijmAzvL96b5Z74rS8vIpvlfSnzCsZvle1J5f+zWj5XtTfKx60cwrGf5fsaQx1oGOk2U+YOUz/L/z/k0nln/P/wCutHyz/n/9dIYh/kUXFyszvL+lHl/StDy/pR5f0o5gszO8r2o8oVo+X9KQx+1PmCzM/wAkUeV7Vf8AL9qPL9qfMKxQ8kUeUK0BH7Uvl/Si/mOzM7yhR5QrR8v6UeX9KL+YrGd5Qo8kVo+UPal8of5FFwM3yhR5IrTEXp/KnCFj0ouhWMwR0vln/IrVFuxp32U0cwzJER/yKXy/rWt9mx70v2VaLiaMkR+1O8rPbFawtlFOEC9MClcLGQIgKcIj7/lW0IacIafMFjHFux7U8WprX8r6UvlD/IpXQWMoWwFSiAdh+laghJHANSC2NHMg5TKEOO2KeIhWqLb1xUggUUcyDlMpYvQfpThF7VsC3X0p4hUdKXMHKjJEB9P0qQW7dOlawjFSrASOlHMFkWPCduR4q0o+l9a/+jUr+yjwl9xD7Cv48PC0GPFGl/8AX7bf+jUr+w/wj/q0H0r4ri1+9S9H+h9pwppCr8v1Pc9KHyCurhrlNL+4MV1cPvXxx9aT0UUUAf/S/v1k+7WBf/dJrfk+7WBqH3SKAPIPFH3G+lfjZ+0chPxc1M/7MP8A6AK/ZTxPnYxr8fP2hY93xX1Mn0i/9AFd+XO1X5HnZov3Pz/zPnZ489KrNH6VvPAe4qo8Q7ivdUj5pxMRo6rNGD2zW48S9xVZ4F71akTYwnhX04qs8AI4rce396rPA1WpiaMJ4PTkVWaFvrW68LDqPyqs8Z7itFMlxMJoj6ZqBoj6ZrbeP1qu0frVKRDiYTR/jVd4s9K3Xi9artED1FUpCaMB42quydjW60SnqKrvbKelWpk2MJ4xVZ4u9bb2voaqNbstWpk2MZoiOlVmj/Ctt4Tg+tVmhJ7VXMIx2j9arPEoPNbLQsO1VmiPpiq5ieUx2hHXFV2hB6ith46gaP2qlMlxMZrfPQ5qBrf05rZaP2qFo/xq1MnlMRrc1XaBh2rcaOoTGKpSE0YTQkc4qBoT1IreaOoWj9qpSEYDRevNQtHW80f41C0Xr+tPmAwmj9qhaP15rcaFfSoWhBHT8qrmIaMQx+lRNHW01up7VC1uBTUhGK0dQtF+JrYa3AqIxAdatSFYxXiP/wCuoWjP0rdMKHpUBiQ9qfMHKYu01AUOeK3GtlPSoWtVzzT5ieVmKVB4NMMYNazWw9/51CbYCmpBZmU0QFQmH0rXNuKiNt3NPmJaMgxkVG0fqK1/IPY0w29PmFymOY/SmlD9a1jbj1phtqfMKzMkxjvxUZj9K1zb471GbYetVziMgxetMMY/z/8ArrXNtTTbepo5gMjyuKYYq1zbUw21PmAyTHTDHWubYY5NM+zfSnzCsZPl+1N8v2Na32ak+zD3o5hcpkeX/n/JpDHWt5C+tIbcGnzCaMgx+1J5XtWubdcdKT7Ovp/n86OZCMfyvrSGOtgQqO1Hkr6fpRzIDG8v/P8Ak0nlL/kf/XrY8pf8ijyh/kf/AF6OYDG8v6UeV7Ctjyh2xR5fsKd/MDH8g+lIYD6VteWPQUeWPQUcwGL9nal+zN/k1seX9KPL+lHN5gY/2Y0v2b61r+V9KXyT3H6U7+YGSLYUfZwe1a/k+36Uv2cnnijm8wMjyB6Uvk46Vr/Zh6il+zL60c4GSIz6Uuxq1xbL9acLYelHOJIx/Lb/AD/+ujy2raEA7CneSaOYGjFETHtS+S3ofyraEPrS+SKOYXKZAt29KeIG9hWt5Pp/KnrAfSjnDlMkQeppwtwe5rY+zN/k08WvqaOYOUxxbjripBFjpxWuLZamW244FHOHKYnlt/n/APXUgiJrbFqRTxaj1o5g5TEFuxqRbY9K2xbqO9TLbD0pc4cpiC29alW39BW2LcemKlEA7mjm8w5TFFq30qUWvqa3Etvb86nFuAOtHOOw3wvageJtMPpeW3/o1a/r28JZ8tCPav5KfDUA/wCEj04jn/S7f/0Ytf1q+EAdiH2FfGcVO8qXo/0PsuFvhq/L9T3TSvuCuqhOfyrldKBKDNdXDXyR9WT0UUUAf//T/v0k+7WDf/dNb8n3awL/AO6TQB5D4nHyNn0r8jPj5ErfFLUifSIf+OCv1y8Ufcavyj+OMHmfEvUWI/55/wDoArswT/efI4MyV6PzPn97bHINV3h9a6Z7UjmqkkB9K9dSPn7HMNAfb6VVktyOcV1DWyt2FVntSOlaKRPKcq8Az6e1VWg9D+FdNJakdaqPa5GMA1SkQ4HNtAw4qs8LDtXRPbY6iqrwduoq+YnlOeeIZ6VWeIeldE0GelV2gJ9DV85LRzrQr6Yqs8I7cV0T2/oKqtbg8Yq1MlxOea3B46VWa2YdDXQPbDp/OqzQMDwatSJsc88Lg5qu0XqK3mhccYqBos8YqlInlMB4T6VVeE+ldA8B9KrtEw7VSmS4nPNGRVdo66B4lI6VVaBG9qvnJ5TCaIdxVd4V64rde19DVd7eq5hWMNrdfT8qga3X61ttbmoWtz9apSJaMNrcdKrtbkdP1rdaBj2zUDQn0qlIlxMFrdhULQN6flW80LDtioGiOM4qucTRgtEfTNRGEnpW40XqM1C0VVzC5TEMDelQNA3pW20R61E0Z9KpSFymG0TelQmP2xW4UPfmojGDTUiXEwmj9ahaIda3mhBFQNAOw5quYnlMJoqgaHPat4xY7VE0Q7iq5hWMAxHtUZQitxohnkVEYUPampiMJkzUZjJ6it02y+lQtbL6U+YDEZFqJocnito24qM26+lUpCsYpiPeozF7VtGBf/rUwwL6U+YnlMQx+tRmI56VuGEDjGKYYFPYUcwWZh+VTDHW4YB6UwxD/Ip8wjDMZ9KaY/rW4YqYYj05pqYrIwzEO1MMeP4a2zFnrzTTF6U+YLIxfL+tMMdbZiI9aYY6fMw5TGMJPammFh2NbJippiz2p84uUx/Jb0P5U0wGtjy/Y0nl460+cXKY/kN6UzyG/u1teUO38qPJbpijmBxMUwHvxR5APfFbP2dvT/P50n2ZqOYmxj+QPWj7Op71rG2PpR9lb/Ip8zCxkfZ1pPsy5rXNq1J9l9TRdhyoyvs6+lJ5C/3a1fsvPWnfZlp3YuUx/IHpS+TjpWuLdR2pfJX+7/n86LhymN5R9KPKb0/X/wCtW15Q9KXyz6UXDlZieU3p+v8A9al8lh1GK2vLPpS+U392jmDlZii3Jp3kEdq2hA3pTvJf2o5g5WY4hanC3Y961xAfWni2HfNHMLlZj/Z/rS/Z62hbj+6TTxbY4C0XCzMQQY7VIsJ9K2xbn0FPFufWjmDlZiiJugFKIHPWtwWxPrUotfajmDlZgi2Pc1KtrW8LYjsKkW2OKOYOVmGtsR0FSi2J71uLanrU62vHAo5h8pz4tfqalFp7V0Itj6VILRv8/wD6qOYOUwFtD6YqZbQ55reFmRVhbU9KXMw5TAWz9RU62nHGa31tGqYWfrRcOUwBaVYWzPp+lb6WZHSrC2ZNFw5Sv4dtMa/p5P8Az9Qf+jFr+rPwjjy0PqBX8tugWgGu2B9LmA/+RFr+pHwif3aH2FfIcUP3qXz/AEPsOF1aNX5fqe6aUfkArq4a5TSh8grq4f6V8qfVE9FFFAH/1P79JPu1g3+QpFb8n3awL/7poA8h8T52Mfavy7+McBk+Imot15T/ANBFfqH4n+430r81virbmTx5qDf7S/8AoIrpwr984ser0reZ4g9r6CqrWueldc9n68VWe0yfevSUzw3E497ME5xzVKSzPSu1e0PcVWe04+ar5iHE4d7bHWqklp3FdrJZd8VRksR2FWpEuJxT2np+lU5Lb1rs5LJgMiqb2vqKtSJcTj3tccmqr23riuue1GcVWez7irUieU5J7f1FVXt661rTviqb2mO2KrmJcTlXt8+4qo9v7V1T2pqo9txzV8xDics9sOnT61Wa3rqHtu2KrNbZ6c1SmS4nLPbGq7QOOOtdQ1t6Yqu9qPSrUxcpy7wnHSqjQKe1dU9p6iqj2hquYlo5hrfFV3gJrpWtmFVZLc+lVzE8pzbQfhULWxromtx3Wq7Woq1MnlOda3br1qBoG9K6FrYVA1uaamJxOfaFh2qBoj6V0BgPQGoGgI7VfMTymA0Z71C0YreaE9cVC0dPmJcTAaJfTFRmFeuAa3DEB2xURhHXFUpi5TBaBfSoGtl9K3mhUj1qFrcD1FVzisYDWw7VA1tk5roWtx9aha39P1qucmxz5gK9ajMK963Wtz3qI23pTUg5TCa3XGc1AbdTW61qR2qI2hp8xPKYRtT2NRm3YVtm1cUwwOKrmFymEbY+tRm3PetwwnoRURgb2NPnFyoxTAvfNRm2WtvyOOeKYbYHvTUxcpiG3UetRmBfQVuG19DTDbcc0+YXKYZtx6U0wgVtfZhmmG29M0+cXKYhgB7Uw269MGto2w9aT7MtVzCcTFMC9DTfsyn0rZNuB3NNMC+go5mLlMU249Kb5A9K2zCPSm+UPSnzC5WYZgX0pPIX0FbZhU9v0pPI9FH5U+ZBZmJ5I7DFJ5R7Zrc8hsfdpvkN6GjmCxieU3+R/wDXpPJY9q3PINJ9nPrT5hGH9nY9qPs7elbf2b6UfZvpT5gMP7MT2xSfZj0rb+zUv2YUcwWMPyB3NHkKOpNbn2daBbA9qOYVkYnkr7/5/CjyFNbv2Y+lH2Y+lPmCyMH7On+f/wBdKLdPSt77N7U4WxNHMFjCEA6AfpT/ALN7VuC1+tOFr7GjmQWMMW1H2Va3haH0p4tSaHILIwBajtmnC1z0FdALQ+9O+ye1PnDlMBbXjp+dPFr9BW8LQelTLaY6cUc7FynPLaZqUWntXQi0qYWZ9KOYOU5xbT2/If8A1qmFma6JbI9SKlWxHcUcw+U5sWdPFmvaumWzHpUgsxmjmFynNrZgjpVhbPviuiWz9qmFkT2o5h8pzq2nHSpltFro1ssdBU62lHOw5Uc2LTHY1MtnnnFdKtnnoKkWz9RS5gsjmRZ47VMtpx3rpFs8VKtn3x/n8qOYLI51bT2qdbQj/wCtXRLZ+1TraY68Ucw7HOrZnP8An/Cp1tCK6FbQe9WFtPQUcwWKGh2uNasj/wBPEP8A6GK/pq8IEmKPHoK/m50e2xq1of8ApvF/6GK/pF8ID90n0FfJ8SO8qfz/AEPreGlaNX5fqe6aXkoK6uEYrlNK4QV1cNfMn05PRRRQB//V/v1k+7WBf/dNb0n3fxrBv+FPrQB5D4n+4xr89fiJbed4x1Bsf8tB/wCgiv0K8T8q2fSvhLxpbiXxVftj/lr/AOyrW9B+8cmNV6fzPIpLA9DVdrLPFdu1pn5cVVe0x1FdkZHkuJxUllgYxVN7LuBXbvZdxVV7NgOlXzEuJwsln/dqm9p6V3MlmvcVSksQegq+YhwOHks/wNUns+eRzXbyWR6kVQks9vBFWpEOBxclhjqKqvY45Fdq1pj6VXa0FUpEuJw8lmcZxVF7MdMV3jWeegqnJZDoRV8xDicHJZEciqUln7V3kljjkDFUZbInkCqUhOJwklp7VWe09a7aSyHQiqr2OOQKtSJcTintfxqu1qfrXZPZEdqqvZnuKpSJcTjXtRVZrX8K7B7P1H5VTe0/Gq5iXE5F7XnkVVe1HWuua09KrPa+2KvmIcTkHtB2qq9oR612DWntUDWlUpk8pxr2rVXa3bvg12LWh7VWez7EVXOKzOPa2U9qrvbAe1dc9mewqq9n1AFVzEuJybWw7VA1ufrXUPZnOKrtakDkVSkLlOZaBhUDQEckV0r2tV2tfwp8wnE5xoc9s/hUDQr0xiuka1NQtan/ACKtSJ5TnGgX0qFrda6Brb1FRG3PoDQpk8pzzWwI9KhNtXRG39sVEbcn+Gq5hchzxtmB61GYD35rfNuPQiomtwB0qlITic+0BzgGozAD14rfNuvvURtlp8xPKzBa2U9DUTWYNb7W6njNR/ZhVc4WMA2mOlRNada6EwY61G0APOKfMJo502oHFMa3A4zXRGEDrUZhU/w0+ZE8pzpgHemGBQOa6IwIeopptVPanzIOU53yF7AU3yV/u10Bsh6U02ZHAWmpC5Wc8YVFIYV64H5V0H2Q002rd6fMHKYHkd9tHkH0rcNqelN+yn3o5hWMQwEUz7M3tW8bVvem/ZTT5hcpg/ZfUCg29b/2X2FJ9mHpVcwcqMH7MPek+z/Wt/7N6cfhSi29zRzC5TnjbZ6Cl+zH0FdD9mNH2UH0p84ciOe+y+wpfs2eoFdF9jH+f/1UotPb/P5Uc4uQ50Wo7CnfZfY10f2QelOFoCOlHMHIc39kPp+tL9k9q6YWffFO+x01IOQ5f7KRTxaHtmun+xfWlFifSncXIc0LT1zThZk9BXTrZc9KlFkM9KLhynLiy9qmFnntXTrZc4AqUWPtRzByHLiy56U8WeOgFdStjz0xUgsfajmFynLC0NPFoa6oWA9KkWxzRzD5TlxaGpxZkdj/AJ/CuoWx9qlFln1p8wuU5cWR7iplsz0xXULY98VMLL1FHN5j5TlhZmpBaCuoFnz0/wA/lUosjRzBynLraDsP8/lU62ftXTCz74qVbP0FHMHKc0tp9KmW1NdKlm3YVOtkfejmDlOaFkcdDUgsyO1dOLM+lSCyboKOYOU5kWbdqkFkT1rphZHpUqWeOnFHMPlOZWyz2qwtkR0FdItm3+f/ANVTLYnvRzBys5xbLJqdbD2rpFs6mW05o5h8plaTZ7dTtm/6bR/+hCv6HfCJxFH7KK/ArTbMi/tzj/lqn/oQr99fB5zFHn0X+VfL8RP3qfz/AEPquHF7tT5fqe6aV9wfSurh/pXKaUfkGOK6uHivmz6QnooooA//1v79ZPu1g3/3Tmt6T7tYF/8AdNAHkPifPlsK+LfEtv5niG+YD/lt/wCyrX2l4n+4xr5L1S38zWL5yP8Aluf/AEFa1pbnNileBwD2mR0qs1pngiu1ks/aqj2J6jmulM81xONazwelVms8cgf5/Kuxe0OKqNaEdRV3JcTjpLMEcCqEliDXcPZEciqUlmewqkyXE4eSzYdBVJrME4xiu4e1z1qm9p2YVSZLicS9jzxVOSwb0ruHssdqrvZke9UpEuJwr2eTyOaqPaHoRXeNZKRyKpyWGe2KvmIcTg3tCO3FU3sz1FdzJYEdKovZjrjFUmQ4nDSWeegqq9njPau1lsxmqj2dUpC5TipLNuvSqzWfdh+Ndo9oR7ioDZZ+7V8xLicQ9iCeKpSWBHau5ez/AAqpJZMBjFUmTynCSWJ7iqb2fpXdyWZ7jNVHs1bpVKQnE4VrLHaq7Wg713D2GetVWsCBVKRLicU1r6iq7Wn92u1ay9qrPYA9KrmJ5DiXtBnpg/59qrPZ56iuzexOcYqq9gRzg1SkS4nGNZ8cVXazH0rsntPaoDae2armZHKcW9l7VWax9q7ZrNMcVA1kD1FPmE4nDvY47VXazYV3LWXaqz2I6YqlMXKcO9oarNae1dw9jjoKrNYgnGKrmE4nFG1B6VE1l6CuyewHpUDWA6U1InlOOazI61C1riuyayIqBrI+lVzC5TjzamomtT1xiutazPcVCbPJ6YqlIXKcmbU5/wDrVGbXPUfpXVmyB6VEbEjpRzC5Tlfsv+cU02p6YzXUNZNnpTDZZ6Cq5hcpyxtj7j8KYbU/5FdQbM0z7H7U1InlOXNqfemm0/Ouo+yCk+yfjT5hcpyv2M037KcdDXUm0GelH2Q9qfMLlOXFqw7UG1Ppn8K6f7GaDZ47U+YXKcv9kPvTfstdSLMdxR9jp8wcrOW+yZ7UfYx6V1f2LNJ9i9qfMLlOU+xrnpQLFD0rq/sY/wA//qp32MelPmCxyf2DNL/Z9dYLIE9BUosvUUcwuU5D+zzR/Z7eldiLIelL9h9Vp8wuU4/7Ae4/Sj7B7V2Ysh6U4WS+lPmY+U40aecZxinLYHriuyWyWpRY0+YXKcWLDsBT/sFdoLBTUgsAKOZByo4kWB7CpPsBHOK7T+zwf/1U9dOUUXQcqOKFieuKnFj/ALIrshp608WCjtTUg5UcgtmfSpVs264rsBYjpUgsh2o5hcpx4s2x0qUWbV14sge1SCxI7Ucw+U5AWQPPNSrZj0NdYLE+hqQWJ9KfMLlOUWz/ANmpVtD/AHcV1K2J9KnWx9RRzD5UcqtmO4FTi0Xt/n9K6gWWKlWzFPmDlRywtB6U4Wg/u11P2Mf5/wD1U8WIz92jmDlOYFmvfipharXSCzPpUotD7Ucwcpza2q9hUy2pP8NdGLP0NTCzFPmQ+U51bT1pwtcV0y2Y9Kl+xH0o5g5TmBa+gqUWp9K6ZbOnizHpS5g5TmBaVMtqvpmukWzHQLmpltD6Ucwcpzq2voKmW1bNdItpjrUy2g7ijmDlMXT7UfbYT/00T/0IV+5/g7/UR4PZf6V+LVnZ4uoiR0df5iv2l8H4EMf+6p/Svm8/fvU/n+h9Pw+rRqfL9T3XSuIxXVw1ymlfcBNdXDx+VfOn0JPRRRQB/9f+/ST7tYN/wprek+7WFfn5TQB5B4n5Rq+XbpC2pXp/6eG/ktfUXifOxq+bjGGvb3P/AD8N/Ja1pbmGI+AyGiyvaofK+lbJiXFVfKFbnBymQ8ODjFVpLYdcVtyQ/NULQ8GqTFY597bHI6VWe2VutdCYsVWeIBuKomxzctkM5xVJ7Q11bxDac1UMWetMmxyps+1Vns8dBXVPAM7eKrPB2IqybHJyWWOQKrPabh0rq2gIOKge3Dc9KpSFynIPakcGqclmPqK66S2z26VUeHswqiGjjZLEenFVHsSPujNdkbcZxUMlsOoFUmyHE4l7LNVnsOeBXbNaqeoqq1qAcYqkyeU4eSxPcVTe0I6jNd1JaDrVN7RTzimmS0cK9rjntVV7QN9a7eSyGTVGSxwcmrFynGPZ44Iqu1kQOK7BrLHBFVms2HaqUhcpyTWgPOMVWe0GeRXYNZ+2KrtaDoRTuTynGvYg81Way9K7F7PbyBVZ7RTz3qrk8pxrWQPBGKqvYLnNdo1ttOCKga074qlITicS1hnioG09lruDaj+IVA9kD92quTynDtYkdsVWNoRxjNd0bLNV5LECnzEuJwrWg7VXez45Fdw1gKrtp5p3J5TiTZg/dqB7L1GK7RtOxzjrUJsSKpSFynGGyz93moXsccMK7Q2S9GGKYbHJyKfMLlOHayB6CoWsBjpXbNYr3GKhawxyKrmJcTiTYKTiozYYrtWsR3FQnTz/AA0+YXKcYbBu1MNgfSuyNke9N+wc5p8wcpxZsR6Uw6eewrtTYsOMZFM+xL0Ip3QuU4o6ee4/Sozp/pXbmxHammw9RmquLlOI/s8037Aw7V232AHtil+wY6UczE4nD/Yz3FKbLPau2Nh6Ck+wL3FVzC5TiRZqexNL9gB7V2v2AHtR/ZoPYU+YOU4r+zx6Uv8AZ5rtDpwHak/s8dgafMLkONGntQLE12X9n98U/wDs4+lPmJ5TjPsBPUU5dP8Aau0Fge61ILEdxT5kLlOKGn+xp/2A/wCRXaCxHpUgsR6UcyDlOJFiaeLE12w09T0FO/s0dhRcOU4sWJ9KkFix7V2Y01fSpF0wdQKq4crOMFkewqQWRx0rshp2DwBUv9mt1xT5hcrOMFiw7U4WTdh/n8q7T+zz6U4afjqKOYOU4sWRPapBYsOMV2Q0/wD2T+VL/Z+e1O6DlOQFicelTfYz6f5/KurGnkcYqRbA+houLlOUFm3enfYm9K64af6g042SxrvbCgdzTDlOTFiSKcLA/wCRXSj7J5wt/MTeRnGRmrYtQfu0JofKzkhYY7VKtge4NdWLP1xUgtUH1p3DlZyi2HfFTCw9q6r7Oh6CpBbDqFouFmcoLM9x/n8qlFkTXVC09RThbAdqdwscp9hNPFh7V1Qt1704QL2Ap8wcpzC2PoKmSy54roxEOlSiEnoDRdBys54WJ9KJYIoV3ysFA6knFReMLnUtK0ObUNOxuhBdsnB2qMnHvX4zfFf9pzx14g1O8Gj67LZ6dGhR7aRRvYjuCB0/GvJzPOKOCS5023sjsw2BnW1i9D9hY9c8OSR+Yl7ARkj746jr3rTtbnS7tQ1tOjgjOR0x9a/nA8G+PfE3irXbPQtNvL4xyTtucElRu7qO/Nfbklh8QvBPgO40S8182bNLBPdB3Zp1iZwAe+ARXm4XiV1U5OlZep1zyqztzH66Q28M674WDj1UgirK2I64rl/hlBpg8IWcelXn25fLUedn5nA6E16ILZsck19PCXNFM8qULOxkrZgVKLZf8mtQWwx0z9apahqmmaPF5uoSpCoGSXOBx70SnGC5pOyBQb0RLb24E6EDHzD+dfsB4O/1MWe6r/KvwQ1X9ovwPp2uwaDZs1zPNNFEjIRsLSMF6+2a/fDwgCIYwOwUV8fmWZ4XFzSw1RS5b3t0/qx9Rk1CdKM+dWvb9T3TSz8gxXVQ1yulcIM+ldVCc/lXmnsliiiigD//0P79ZPu1gX/3TW9J92sG/wAbeaAPIfE+NjE189RIGurwn/n4f+S19C+JzlGr55W5it5b1pGwBcvn8QtaUtzDEfCBiBFVvJFWre/tL1N1rIrj1B4qRlxwMZroWpxGS0XJNMeL5elaZiHeoGTPGKaEzLMX1qvJGC1a7R7Rzmq5jbr/AEqyDJkhBU4qqYiK2JE424zUPlAdqqIGQ8Rz/wDW/wDr1C8OR0/StZkyc4NRsmB3qiWjDaAMKrmI+mK3PL/z/k1DJEN1BJiPb7ue9UXt89OtdIYgBmqTxdzVRJkc29vnnFQGAcg10EkQ3dqrvF81USc8YSKhkt/4q33h56VCYAR0q7dSWjnWgxVR7bB6V0ZgqCW39KZLRzUltkZ71UNuT2rpzB2qo9t8xxTTFY5uS2A57VWa09K6drfK9KpmAjtVJi5Tm3tMdKrNb/wtXUyW3Gaga2JGKZJyr2xHvVV7UHnFdU1vg471SuUit4zPKQqr1z0q/MVjmXtTjkVWa3I6iqE3xC8GpdGzivY5pgduxDkk+lVLD4heDdS1eXRIbyJbuIqDEzDdl+mAOahVqb0Ul943TktbGs0GegqEwnPIxXTvabvmAqs1qSOa1TM2jnGtQelQNbdiK6I25U0htwR0qk7k8pzDWvpUBth3FdM9rjntUTW2RTJaOZa0U9BULWi9CK6QwdjTPs6sKq4uU5hrIH/69QGyC9q6f7ONxUdaPsvFMXKcobVvSoWtB6Yrq2tCKYbbPTmquKxyZs/TGKjNmvpXVNZ56UwWp9KaYjlWssjA/lUR0/vXYfY1P/6qY1njmqFyo4/7BzxTTYA9RXX/AGb2phs/SgOU5A2I7Uw2OOv6V2Bs+ORTfsY7UC5TkfsYPUZpDYAnpXUeTESfmXjrz0pVto34Qg1VxWZywsj1NKLTnBFdT9lx1FOFpxwKeorHK/YU9KUWI7V1P2IY6U4WYqrsVkcr9hPoKBaY6iur+yY6UfZcdRRzBY5UWadxS/YV9K6r7KD2rM1S80vRbY3uqzpbxDgtIcDNNytqxcvYyxY44FPFjRBr+hzyRqlymJv9WezfQ966GJI5RlDux6UKSewODW5gfYsDpS/Y19K6MW9OEFURY50Wi96cLRfT/P5V0JgUDJ6VWeewix5ksa56ZI/xoDlMoWi56U8Wi/SvF/iN+0f8Lvhfqh0vxRd+W20MCo3g57cZPFdZ8KPi54O+Melzaz4NkeW3gcRlyhUZIz3ArOOJpObpqa5uxboyS5raHfi1FOFqKwPiF4st/Afhm41+ZPN8lchc1+dmg/8ABRHR7TWLmx8UWTyxIx2tFjKqPUcZ/OsMTmWHw84wqys2VTw06ibij9NPsvvR9lPrXwr4X/4KF/BnXLl7PURJYyfwibAz+Wa9B0X9tb4I6nrDaRd3htD0R3GVY/yH4mnHMsLJpKotR/VKv8p9V/ZR60fZR61zWgfEnwL4l05tW0jU4HgU4LFwMfrXTtrGkLZjUDcx+QwyH3DBH1rrVSL1TMXTkt0AtT/kVJ9mz3r521L9rn4E6LaC61fWo7djK0Xlty+VbaTgA8cV794a8R6B4u0uHWPDt1HdW9wgkRkYHKnpx1H40oVqcnaMkxypSjq0Q6tL/Z2mz3iYZoULAE9cdq/MX9pn46fGO106BPDscNlpGpSrapcoxWYzZ5XB5AHrjFdP+3NafG/TpYrzwhqP2TSrhhEqxy7JHlfAHy9wCa/JXXpvHmu6pN4E8ba/P/ati5CQSuWQOMcg+tfP5pmFTmlRhFq3Xa56WDwsWlN2Z1fx88X/ABu+C3jaXS77xBcrdLGpfy5G24cBhg554r2X9mj9qrU/BfjbT5PHPiefVdPulDzxKTKVZhwDnJBB9K/M/wAc+LfFutazJaeKL2S8uIm2s8pLlgvA5PsK9D+G/i7W/h7dWvjfSLa3mjRwp8+PzFJ9+a8nD1pU6l4t2T6npToRlCzR/WX4Q1+28XaHFr1pA8MUwyqyjDY9xXUCEY4H6V8afskfH3TvFnwRsfFPxBvorWWSWWPzJGwHKtjAHPQV9NH4ufDManBpA1aE3Fxjy0z97PFfa08RCUIyb3PnKlKUZNWO0EVP8k+ledeOfjJ4H8CLAt/cpPLcOY0jgPmPuAzjC5NHwt+Mngz4s2txc+GZSTbNtkVxtIP0PNaKvTcuRSV+xPs5cvNbQ9HFueuKf9m+lcf4z+JvgvwJZPfeIb2KFI+WyeR/OvmXxT+2J8Hms0TRtbMlw5IJgVgEHqQRz+Fc+IzDD0bqc1ftc1p4WrPVRdj7IkiigjMszBVUZJNfPPj39p/4M/Dq5+ya3qkckoOCsRDbfqe1fm58R/2m/E+pz6j4a+H+vS3GlSqwM7oUl3MOzE5Ffn34r0/xtqaSyGV52AzuYjLH3J718vj+LYwl7PDpX6t7fgejQypvWZ+8+t/tt/A628PSapo+sQy3Cfdh6sfxxivJ9Y/4KGeDbSzS60i3W7IiDSAyeWA3cDjmv58DD4qlvk0AB2cNkjG4DP6V6U2iWVnALeeR5JAuSSNq5/OvPrcSYttOMkl5I64ZXS2Z96fFr9tzxR8Qphp6NHb6YTuMW4gn2LDBIr4t1/x+niPxc0+jWiQK+S8ccZdAo64FeBX1nrFzfsIF/wBGUbic4wPxrsfDGl6/bg6xbzC1g5Xe7ferzK1d1JKtXnf+v60OqFFU1ZLQ9n+I3xT0nX4dIh+G6G1m0+BY7p1QwjzQeox14qbwxN8Q/iBpOo2y65KWEWZIixZ7jaeEXqfpXnlmvhjSiZdUu45m67I/u5+tYE3irwzaakdQ8OXFxaXycpLE2NrdiMVzwxnNVcnF2fY0lytWTP1g/YW/aA0f4cLr2j/FnUpNMS3jjaJL99vKkghS2Pyr6I8Hf8FI/hd4n+I83hu8lgstJVtkd05O5z9OmM1/PlqnhXxl4mu11HXL+W4E43tJIxZjnvzmk8J+DY7jUmtb1pCsTfeBxkD3r3afEdSlTjTptWj+K8zmnllObc31P6wPFfx78CWuhyXHh2+ivpXUlQh+Xp61+Z/xM+K/ivxTGxtJ3dWOdinAC+mOlfH8fxfm8O6PDo2lW3ywrtUg5x654rfsv2ibTS/Cs2i+ILWIz3BGyUg74wOy49fevmsyzDE5pW5sQ+WEdorZ+p0YfBU8PFJavqem+FPGtzZ+JdEtUjXc+pWYYnqC86A9frX9tfhPhU/Cv4CdK8Y2uo+PPDVxpxJSXWdOAUjnm6iFf38eE8EL+FdWRYZUo1Ha17fqejJRVlE9x0ofIK6uH+lcppZHlgV1cPrXvEk9FFFAH//R/v0k6VhX/Kk1vSfdrAv/ALpFAHkPigkI1fkB8Sv2hNf079pnXfgPCYIrUWlvfCZ5BGw8xMsoz1JxxX6/+J/uMa/na/4KI6F8PtN+JF58Rm02e68Q2b2xd7eYozW8aZUBeRxk1jXqwhG9R2T0JlTlPSBT8S/te+OvAvjaTw14ZskggacJHLIctsPVj2/Svohf2qviD4W+yzazarqEN0BtcS7SzHpgYr8NPip8d4fF3iO119dE1GxigtBGGfDOXznJ9q5wePNb8aa7Y6Zpeu3cVsm1neUY8o45xg44rKDktYTsjmad9Uf1X/Cr4uab8UvDg1qxRoWRzHJG3VXXr6Z5r1D7ao61+M/7KXxn+F3w31qLwL/wmcmrSXILsJYGQK5GT8wJB5r9LtI+Jvh/W5Z0s5dyQsq7ux3emOa9GliI2UZSV/zMp0pbxWh7Kb3dzR9rXp3rhk1m3lXdE4apV1AHkmupa7GFmdj56N1qJ5Fzha5X+006bgM8daRtSVV3GtNhHT7l9ahLBjxXNDVVl4zj2rmdW+IvhXQHEWr30Vux6b2Cj86TklqxWd9Eekk4Gagr5U139rP4UaLrr+HJL0zXiqGVIR5u4H0281u6P+0Z4E1OEzTTNbIWCI0yNHuLem4AVH1iktOZByS7H0U5421AyrjJ4rjovFumXAieKTcJvu+9SyeKdMRWeWdVCfeycY+tbKUe5m0+x0bRg85qsYweR/KuPHxA8MzOsK3kOXYKvzr8xPYc1Zh8WaXcyywRSZMP3zjgfjTUo9yeV9joGjBNM8kVyl3440Gytvtd1cxxxH+JmwKwH+MPw9gCCbV7Ml22jEq/rzVe0h3E4vsehvBg8VXlh4FeZaf8cPhvq+rPo2nanFNcR8kKePz6Vd/4Wz4DkkkiTU4GeI7WXfyKl1qa3kvvFySeyO4MFfJH7RX7Qh+EwttH8PWw1HVb19iQqeV6ctz3r6D8RfErwt4esPtd7dIAyblAYEkY7DvX8+/7THx+XX/i9feIrOf7DFxFHJs+YYGM/wCFcmLxkYx5aclzMuFJtrmWh+kGi/Hr4uaJpknjX4j2cdlpLzeSEjAd4nxnnnke9fSHwT+Lui/Ffw9/aVhOZZPMcH5ccA8fpX4XaX+1B4G8LaY/hnxtd3HiW3njWZJEGzZK3VWDHnA719xfsq/tf/Cbxb4um0OG4/sHTrKPbaQyKqpJkDJZgM5z71lQxMoyXNLTzN50420R9tfH7x74k8AeG4te0CJZoklCy/MBgYOc9K+Ndc/b+g0LTrO7NoLh5d6yKMDbt7nBJ/SvSvj5+0P8PdTgXR9K8WaVDbuzRTxsFlPHc7umelfhX8VtV8B2Hi661nw5dG3gMyj7LFIZA4P3mDdh36cVhi8TV9o3SnoTTpJrVH7e/Cb9rfUfFGtQzeMNPFrYavLss7hWGxTjOCM56DvXu/xg1HX/ABZ4WbTPhu8c7TSJDLIhzsEh9vTvX4Kw/tEfAqLw5ZJHplwt1AxV4Xk3IWAx5hwOd3oORXefsp/Gjx3rfxXutO+HmuwaLavGZ0t79t0cpTGEHPBPaksTUcfZSd0/vKdKKd0tj9A5/El9+zh4+0vwb4sewFhfwgvcmMs6yc88Hv0r5S+L/wARNc8I/EqXxP4dsbi4tBIk7NHC6vlOcHPQH37VqftNazc+LHPivxh4v0aTULcJDHbW+7MTRtk4yOSPyrB1H9rv4Z2OhTaB4vT/AISC4ngKG8hcwsGxgZVeD9aylFaU4+7FbXNI7Xe/kfo5+zV+1L4G+OOjpp6y/ZtYiyJLWQYfA7/jX1tJafxDvX83H7O9/wCBovjpZ6vo2pTWZMgbAHyBX65kzwcdeOa/o40/xd4U1F0s9N1C3uH2jCo4YkfhXt4LFe0jabV0cGIpcuxZNoCM1C1sVNeS/Gr47+AfhB4buNT168Xz0U+XBGQZGP0r4t+Ev/BST4b+LvE8mleNiNItAipBI+SXkzyWxnGRW88XShNQb1M40JSjzI/Sw2uRyOKrPZ7eR0qfRPEGg+IbGLUdGuY54pl3qUYHK+uK+Yf2p/2jovgJ4YXV9PS3vLmQlVgeQq314BrarXhTg5yehmqbk+VLUqftA/HXSfhfoFxbWSG41RsokKg7lB/iPsK/Oa8/a7/aN+GtpeXPizTUmtr6NfsjynG3jqNuc9R1xXyfrX7XHi+T4mL8UtUlhvLgn/j0kXzISn90g8Vw3jf9qxPF+kPFeWTfbpml375N1uiyHgJF0G0dMV81Ux06k3UUrdl5eZ6NPDxUeVo9Y8FftyfH/wAK69K9xL/aVzdyFhDNgoFPYelfTHwe/b68b+IPi5beGPiRFFYWtywjKxoGKu2Mc56etfibeajH5nDMxY8E9SK2I/EaaVcxalokkkVwnVs9D6j0qqeLqRa95mksNCWyP7M4EguYlmgO5HAYfQ9KDZ7TX4Dfsr/8FAPHeh69pPgnxu3220ldYGuJPmlw5AUenH0r9/o9a0eezjvTMsaSLvG/5Tg98GvpMNioVo3ieTVoypuzK/2XvikNnnoK8h+JH7Rvwr+GdrJLq9+k0yDcIYjuLD6jNfMeof8ABRT4XTRsmhWs7zBc/PtwD+Yp1MXRhpKRCoTlrFH3sbTbxigWueRX5F6t/wAFFfEF+kr6XawWzQnPLNyP1r2P4eft4aPqPhOXVPFixxXysFiiViRLnuCcDiuZ5rh1rJ2XmX9Vm9kfogbP+7TPstfDtt/wUM+DovY7DUY5rdsASs20Krd+QTWdq/8AwUh+BGm6obVBdSwKfmlVRj+daRzXCNX9ohfVK38p93TrFawvPcEKiAkk9MCvz2+Ov7bXhvwdBJpfgCI6lfiWS3OOYwU4LZHb0q18Q/27PgH4p+HV4vh7UTJcSoyrCx2SZIIHH196/EiT4vajb6rKt2EZHmL5RBkbjyR+FeVmubSUlTw8tGtWjrw+EVnKa17Hp/iL4/fF+48R6h4s/tK9gjlBJ8h12K/bIwRwPWux+Gv7cfxO+H3jez1DxzqM2rW0uBNDKFQhOxBwB0rivHnxT+FV54ftPDHhVp447iP/AElp0QBXPoV5P418OeOLmzgvI4IJ1ufLJzKGYkjsDngYHpXkUq06bTUtfU7vYxmrNH9TXwJ/a0+Gfx4vbmw8PubWa1Xc0cxH3ex3dOa+pLaSxvU32cqSj1Qgiv4tPDXxM8T+E7W7sfDd3JaR3qhJvLOGZQcgbhyOfSv0G/Zd/aqufASJrPivWry4ayOYLLcXjkHoxbJ6+9e7hs7ekaq+Zw1cvtrFn9KH2TnimmEKMt0r8rrT/go5rdxH/aFrokF3bnnbGz7h9c+le4J+3p8E9R8CLqF9qUNhqkwMb20gZjG+M5O3t9K9SOZ4eUW1LbvocbwdRNXW59xrCpG4dKrzTWVvGZppFVBkkkjAx1r85dc/4KI/BHwl4EhttOu5NS1RlKyRxoV2sSfmywwR+Nfn14z/AGpbfxhcG4tNQmSCRmPlbiME+wxXLis5jSUeSPNfz2NaWAcr8zsftl8T/jT4a8C+H5NW0+aC9cJvVVkHI+or8ifjj+1d4s+Jq/2QyrYWSOCI4zuYkdye9fMl34i1nWZWmtDK8LL94k814L4k8WyW106sxiccM3evnsZm+Iry5Y6LsejQwNOGr3Pv7wx+1t4d0TRWj8SaZPd6lbJ5drIJ3jjQYxnCkAHHtzX0r+zH+174Q0PSL4fEHVJj5khkQzHcMH35Of0r8UrHV59ciMFs++U8LvGa65fhp8T7i3WewspXGOQmcY96mjmNSnJSckmu/U2qYRSTW9z94vFH/BQH4XWDm18OwyXjn7siYKfjnFW/Bn7XFv4ssZNSuNQ06wVCyiOb75x9GFfg5p3we+Os8oSw0W5lTntgc/iK9Csv2d/i8IV1DU9Nnjkz9wdB9c1tVzqq5czrK3Zaf8Ewjl0FH4T7s8e/tr/GSbU57HSxZraMSgMYOSvqDnFfN1x8WfH97cNfpr2o+YxLeW0xMYPt0xXlifC74xabqEV4uivcQKRlXbg/Xmp5/hV8Y9Z1hrrTtBNuv92NuB/OvOrY6pVXNOv+P/BNY4WMdIROK+JHiTxR4hu/tur332ibHG9izmur+EH7Qnxs+FReHwleNZW03zPGU3KSOM4I61Hpf7PXxd06/fxBdaPPcTO/7tV5AHr060+6+Cv7S+o6g/laJdRIe5GOPrilDHRpv3Ki9b2NPYXVpK57R8Rf2q/it480G3sNU1BniK/OmMEk9e3/ANavjHxb4ltijWu/YScsApya9+039nv9oJYDNfeH7uYrypABP6kV5zcfssfHzV5rrVbzQriMgEKjhQzfriuaWKp1KjqVqqb73JhhpR0jGyPmafXhHKkkG4bTncDyRXaW3iSe6ZJeXBH8VdS/7Lfx6uIBu8O3Ax/dIP8AI1r6J+zn8f7JjFb+GrlwnPKH/Cut4jD20mvvRsqE+x6TovjzWdK8DLp1jPP5RJO3O3nr27elc5qn7SPxL0zwsfDX9rzQQSt0DZIXpjnnFU7/AODf7Tl4qwW/hy9VRxhYjgiuW1H9l39onUgJH8M3bHr90DB/EiuWjUpwqOpKqtf734BLDzl9k8P1Xxrql5qZnvXdnPKsSR+NfU37NH7YvxD+BGuLJp9wLuxlP763mOcg9dp5xXlX/DI37R13cr9r0CeEE7dz7ePyJr0GP9iX4wW9sk8cHmSZGU2njPvXoRzKhSalCqk/Jilg5yVpR0Pd/wBqj9qTxj8apLXV4HeytFUGO2U8BsckHrzXwTeaxr13fy3szs7gEs7H5j+Jr7P079lv4qakEi1DT2iW1UAZGc4q7P8AsYfEm9vGnuFAifqqjFcc81pSm5zqJthTwMorljE/Pa98QSz3CNJ88qnowzS3WsapcQybi0cbtuKJ8qA9PujivvyH9h3xXb34DWTSwMcvISA4HtzivQ7H9ie3URtNa3DY6q7qM/pVSzjDRtaRusJM/Nvwnr/ieK4htYp7r7NGxIVXfYCeuBnAr1gePfEdvfJPbzSRyKcq28ggjuCc1+hA/ZX16EpZaBZQW0SrgszAk+/Sqlz+x94qu2SW4SwCR5OGchmz9BXJPN6NR+89CXg57pHyLFr/AI01MJrj3cySr8wkMhDFj3z1r2vwzqC+HLdZdO1Cf+0LkAt5cjKST6gECvX5/wBlPxVcaamnNd2ltGhysabmxj3NYbfs36/4UuTrX2/7bJCM7EQ/NjtXFVzGny2jVs/mP6tKPQ4rU9G1/VF8/wAQ6pL8/OJGJH5mvC/G7x+GYnmiut5XPK9APrW38WofiVe+WLGxuhklVUIcZHFfGnjIfEGC9fwzqkEonDYaMg5BNTl8atZ885/IqcZJaLQ+0vh1PPLoo1G8k2oxyobAzU3inxrZTmWxtkZ5gDhsfKPpxXlPw5TxP/wiq6Vq1k0UqE7C44IrW1fRPGGs2ptNCiLzsf4RhVxW1Wmo1XKexilNbHL2fjDTdM1BhNcCGRh85IGRXNadrFrrupXU19dgon3cnGB/9evKtZ8HeMx4t/s3UbeVZWbupIz/AIVryfBz4gZ32sZmVCXZFRskflXalQS5uZaiUZ3tbU9OvPEdnLZrplrGsozsyOpzXW6tb48NJC0wtzGmQBg14HpngD4l6hdypo+n3GbcAsTGRjP4V6jc+C/iHNoMOm6naz+afvNs6H0rgxLpq1prccqVS2iPJbvRft6S+Vds78kjcBj3rtvBPgmyFoWvt0srEHlumPelm/Zp+K1wq31jayKJiAp74Nd74U+CXxj0yfy2sLmRVO1socDHvWs8bR5LRqIuGHqP7LH+M/Flh4f0mOzRF3AbQMkkCuX8J+L5NQtGis48tnO7t9K6TxN8Afijrkzy3emPj+Ae9Ymmfs+/Hi28Ot/Ydj5URb+E4Y4NckK2HVN3mrvzNVSne1mZfinxTqVhEqO0cSMeVBGa5BfiUzz/AL47woAGOnFer2n7I/xo8Qx/8TKARq4L7nYliR+HFQ6f+xR8XGuz8kaxAEgNkmtYYzBxTjKorlLC1W7pD/hn460/VPiL4ZhlbYx1vS1U+5u4R+ua/wBHrwoMKuB0xX+fZ4J/Yf8AG1t468LaxZXCYtNV0y7nUjGPIuopGAz6hcV/oJeEjkKR7GvWyjE0q3P7GV0rfqN0pR1l1PctK+4K6qE5P4VyulZKDPpXVw17AieiiigD/9L+/ST7tYV/90it2T7tYN/905oA8h8T/cYH0r8Pv2oV0hvjfqyaiiOTFB94Z/gr9wPE/wDq2r8Cv2wl3fH3VAjEHybbdg/7HpXx/G9Rwy9NfzL8mdmBv7TRdDxO+0DwpqK7LyCMqOgK8AVhp8NvAhbEFrCo/iworHkvfsMOXmdVYgZPNWUmuWQyq8bIDkEsRn61+VQx1eKtGZ69k94m9pnwu8IR3JvdOtIYnT7rqAGFdrYW19p8xFteyAkZ+9ivOV1a9jxJBGjDHIEn8qivfE7afCLny5pHx9xCDz+NaRzPEJ/E7+o/3aWqPc7fxP4psNoi1GQf8CNaUHxL8fQtsttRbg/xnNfO8fj21AEd0lxEzdNyggVdt/GOkSqVkuRuHUNwfyrsp55jKevNL7yHCjLsfQ3/AAuT4hQy/v7qOQL6c4qVvjd4nMy3F6xaReRtYgfiK8HttY0xIy1syDf3zSvPbyLw5PHYgk11f6z4z/n5Il4elbSKPoTVfjdqms2CwzyT27Fgd1udjfnjpXg7aP4Jj1G91nUBfX1zc/Mxnk8zaSeq9MGubjuCt220TbQB1Xj+dXbvUZE+dDx6d+K2/wBacY1/Eb9UZvDUrW5V9xwmp/DzwXc+LF8Qxz39leoMiUqrA4HHftXpWu3upeKvDH9hajq8MsaLiNpLQAqw6Hg9RWT/AGwL0KHG8jtjH86lubmMIqJFgegHetY8XYtKzaJ+p0bt2RH4U8V/Eb4f25ZfEEd6kUYSFDEw2kd+p7VXm8b+INWayvlvGe4eUtfsWIWVQ2QAPYcVSvJGVAzKMH8Ko6fbsr8IsY6rgcV10+MazWqRg8FSvZL8zQ8UHUrnxlH4p0i9SOzt51uvsueTs7A9RXRt8S/Gtqbwx3IaK+5EewsFyc8kGsSe6kt7kGUKRt4460y21JoJCjpGcnrnFbf63Ylaqxj9Qo7NfmcJ4osPi545htrHVvEMcFva5MaqrKfmOefWvMLn4A+Lry8aa68QI29txIJH6YxX1TaXNvdl1u0BUHjB4zUDm2M21+R/Dgjik+McS/8AhkP+zKLs7Hy/J8G/Gdg6nT9eiBH3th5OPyrU0/4PeMldtdi1oB0PzAdf519AXbE4Ftbk7fpWjBcWkEfm3MBDEfdHBzVPiyry6/kill1FN6fmfNeu+MtS1Xw4Zb3U7gS2jMip5T5JHHpX53fFLTrrUbs3wjuZZpWy+I2OP0r9kmaxuJlg+zMg+ZgcdKZFfaRZzE3Nu20jH3cn+VVQ4qjTl8F/mZ1MBCXWx/Pu+j353JLHOrA/dKHpXqPhW6ufB1uLvS1lFxKvV1IAr9rTN4VXdL9mDgcjdEpP8qS1/wCEOuZzcXNlCUYZAaFOB+VdkuMota0n95P9mw/nPwDvNW8W6hrFw8sMshmLE4U4Pf3rg7m110yiQwynP+wxIr+ji90rwJccrptt7N5CjP5Cks/CXw2uFVpNMtEbGW/dDk0LjWlv7JlrK47KZ/OPb6VfSSAzpIvflSB/Kt3SY3TU4WRjDkjazAjafc1/QtdeDfh6xBj0602qeRsFQT+CfhpcXGyPTrUuOh2Cn/rnQt/DYPK49Z/195+APjG+vIbmKQ3D3FxnDMxPTt+Fen/DPwt4e8URm68Q6olpKvARznP/ANav2lufBHw3d1M+lWeR90lAT+PFQD4cfDKV28zRbIlvRFz/ACqZcXUHGyi799BLLVtzfh/wT8Nda8QW/hLUXuNB3Psdl8wHC+mRitK1/aD+JGjwJcaNqdzbyBdpZJGHH4Gv2ik+EnwymQ28+g2bxnkgxKR/Ks5vgl8Itjonh2zYY7writYcW4b/AJ9v8DJ5Wv5j8Xtf+MvjLxsRL4mvpbxwMbpGLMPxPNcVPrFrBEWti3mjktX7fL8BPgpPG00vhqzAUE4MWM1BD+z/APAyQZXwxZBWHzDYf8a1fFuF35H+ALLmtpH5SeDv2nPiZ4N00aZour3EMGMbEcjA9qydW+OHirxCs174gunvwxAxO2Tgn0NfrI/7NXwBmjaRfDNrHnj5dwH86ry/ssfs+SwrGvh+NSepDuOfzofFOElvGX9fMSy7+8j8W9Qu31JXvIwscRYgknJB9hXO/Y2uxIsNwm+MjAxgsD7n0r9ubn9ln9nxbf7MNEw2OcSuMn8656b9kf8AZy1ApJa6LLCT1CXMnJ9+aqPFGEXSVvQHgbacy/E/Di6nuI7rymbJU9RWvYw3d2VAYIDxkmv2jl/Yx+AZdZf7Mn3Dutw+MVRk/Y7+A0s/kx2lzHLnBAuGFV/rVhLbP7v+CR9Rl3R+SWi6tJ4c1Jb4uGkhO5COoZehFfQNl+1/8UYkX7bq11cDGwIZW4X86+5r79if4IzN5U8d2oXnIuD/ADrMb9iP4Jhkmt0vtnYm4z+PSmuKcG1u/uJlgH1scN8B/B91+0LFNqN1JNAV++QASc+hJzX0E37GUGRGrttyeQAGIrZ8C/BXwv8ADVhN4UuryKNuCPM4/lXqKS30spEGoXSrjDKH/XpXj4rP3Ko3QqtRO+hhaEYqNSOp4rJ+xho9rhbbMzMM/McEn0NfCn7RXhrxL8OSmgXlmbCHJKZ6Ng9jX6oJHfwqFjvLo7W3bt3J+vFeZfEb4XeGPizEbLxW07LxiRT8wIrKGdyc06s+aIquGo2tBWZ+EN94xureUxyOSfXtVKz8WTzxs0zbx0r9Q9a/YL+EE8x23+oI/b51x/6DWRB+wp8MDbm2h1C9U4zuyM/yr2o8QYJx3f3HE8LJH5vQ6jd3r/YbJGeU8hR6dyfStDU31Wy0lp5McYUlWBAzwM/jX6F6h+xL4f0jSJZPB2pPJfMNp+1k+W655UlRlSexwcelcB4W+AfhTRdYg+H/AMQtHlsLrVzILK7inWe3eSMbimcKwO0EjK44rgqcSQjXspWhp9lu/fW+nZaH2eA4cwmJyp1qKdTEpTcoqpCDgoq6apyi5VFa8pcsk0k1ZWu/z0k1xYoWDlvNzx9K5e41a5uZQzKWA9ea/Wu7/Yb8BTv582oXGB7gf0qNf2B/h88u8Xs5GOhI7/hXqR4iwS1bf3HxP1ea0PyYgvOSkzYJPHav0R/ZI+HHgjxRbzah49eM2eNwCORIPqAK9Qj/AGBvAUYaR7+bO75d3avr74beDtP+HvhNfC1i6Tqny73Tnn8q58ZxBh5UmqL942pYV869otDjtb8Nfsv+A9HN3dSzw27cYWdxnNYmjeAP2VvEVl/aVhbh42OcmZsk11fxD+H+m+N9MOkazOghUk8L29q5Twr8NNH8J6eljpFyr28TZw43ZHpXkxzNODbqy5vVnVUjDmVqat8/8zYHwl/Zim2mK0jbd/elftUun+AvgFod+brRrKLIwNvL9Pzro7DR9Ht4Du8mbOTuZM49hW9a33hzRlVorO2WUcho021n/aMr/G382aKNFfZX4nlPxh8XeArLwdPZ6dYFJHQqvlRFSPfOAK/Ijx/q0f2tp7dZF355cV+33ivVbLxLYNZ6qjPC42lV44NeK3Pwk+Fd40aXWnCTb90uc9a9DA5rCjrJNnHiKanO6aR+UPw+1iCzvY57mJ5HU5VTxkmv0r+FP7QnxC0d7Xwxd6Cj24IBkWFi+w9zXp8fwr+F1vPFcQ6fCGiAUZA5x/WvUNLvdMspJFs40VlHXaMjA9aMZnFOt/y7+8ujBR3Z1kPxsu7e3+0LYzIB0BtmXp71DP8AH+9ubdhLpty2eShtjj86zJtb1G4t1WNwy5zyKhl8XXW0RK2exworyvrMLaQR1c8fJfJFofGie4j3W+jXjDvi2x/M1VHxg1ayZVj0W9USntCq5/Wnx+Jb55Qx+VR2xVqXxHK7cEvjqBR9bVrciLi4bt/givF8YdaeMyJol8EJ27sKBz/wKo7jx/qU9xuk0a+ZiARlxj+dI/iDVTMsaAhewHpW5baxN/rHYnHTNQ8al9lAnTvb9F/kTQ/FTxhY2yi30y4+UhdpYcD681fj+Kfj68VYjppCyZ4ZxwPfisuPVL+VN6gtv7elNE+oRS71LHcOnpWLxeuyLc4pq35L/IvD4l/EGzZo7LTl8rdtzvx/SpbT4nfFKZiZbcKMHo5PH5VhPLqhlIjjMpI6A8fWtfTXvXj8sJhx2JxioeO0vZCdXtcZ/wALC+KUsLL5UeQcgFjkipD4l8dKo8xkBfnnnH61SnsdQluR5rYXuM4OPWsy8iuLWXzpX/dL054p/XZNaNfcJ1pJXuzrbPxJ4tyv2iYKCefYVkf8JL4vlunVZ8p04bmgyrcWm+1O8FetULeB3zcIMuRjjPGKyeOqamntnZGhJrPiGSZUikJ2rzlj1plvrGsl9l0+C3cZPSqqQyWgDSnqM43cj2rS0mwluZRcy7lUE4HrSeMqJXuN1mOXUdWaIlXJycZ9qmujq21dlx8oGTmrp0b7Gm9Zs+i5zmqC6bqd0zTXHyp0Gaz+vVP5tBuu07C2FxqkjmP7UVCgnNU9Wn1AHCXsn3QcLVuTSPIIzLuk7qP0qRYrGNvJupMSNwccAGh4ue6kzOdaWiRWjunj2uZ2O4YIJqxKy2O64eQlccEnPNJLo+nNIBJKxccjjimP4f8AtMG27kc55B7DFH1pu2rH7aonojIu57C4t13KhOc8j1rj7/wr4Bvbz7Xc6dBNcEhmk25JNdHH4Ys7iWSB7xQoGR1BpZNA0/T5hLLc5QdlHNCxKUrJsyqVaj+LYQaJ4PEEZ+wwDHqo61Rso/DkLtbWFrEkmTjCAV1sWk6BOQ0khZSpOScYNEdr4Ss71JAMvH055JqJYlybu2/mDlJq90cy2leFUKzXdpFJIcnJXkVr2cvhW3+ZrWNWZeBt6gU5tT0IyMLWAFwe5FYup61DA7qLeJlVSFO7nmo9pdWb/EiVZp6SNeZdMtrdptPs4/n5bao5/Sq1hNZgNK9tGR/u9K42w8Z3FpcQrGNq7QWVhx9K2ZPFduyYVdu4ksq9waLtImNZ7uRrtqHnO0tvF8kLDhRir66tcefvELMkmWAxx+Jrl7XW5LqFo7BVjRz82WA6UjeJpLW2SJoPOYgjg1nKotgdTXfQ1UvbjUZTbmAR/vCv09672205bbS55IVBYKNg9x1rx5fEF3FKGitFR+vqQK6jT/E2qzq2xQsZXkkUqk7RsJVb73Zp3V7dRqEVRl+CT2rNjXV4rovGA2RXGazqmt3M8f2NgqB8Max49X8Ri72i4XYvUmnGSs9SHPW19j3Pwo142rWTytk/a7cHj1kWv6s/CODEg9hX8gfhbVr6fxNp62l3vze2oYe3mrmv6/PCR/dofYV99wTbkrW/u/qYVJ81j3PS/uDFdXDnrXKaUPkH0rq4f6V9wZE9FFFAH//T/v1k+7WBf8KRW/J92sC/+6aAPIfE/wBxj7V/OJ+3Xq13pn7RurPESEFtaHA452HvX9Hfif8A1bV/NN+35fXVv+0nrKRoJEW0s2wRxnYa+Q42/wCRfH/GvyZ0YZ2meAaX4xu0tjdzqyAjJywYVHL8Q4byJkijkDLznA2mvHzrt0Z0R4QqA5YAcVVvrhWkNwkgi2noPevyKVFdTudefLaLPdG8Tw+R88oRio4IxzWpHr0vkDZKhXHzcivD7ZXiuI1u7lJYpATg4BGKxrpDbb793bEhC8Nx+VUqMO5PtZ7tHvieJIbu52khgvAx3rbkhsbwqhwXIycgZr55s2urOz82Euzk/KRjNPvdY11LZTNI6tnknqPyqnSvZRdioVX9qJ7pLp8cQ8qOMMv16CoJra8hlW7s5BGFHQnIH5V5FF4su9PsxHeSlt/T3q7p/i66S3ZZACev3gcihQqJNrUpVKbPWV1PULwGBbrbJjvxiszPiJRmK7R2j7kZzXnLeL7aVledh5nUYPGKhk8QXMl1utWO1u46VHLJLX8gdSL2f4noa6x4st7kSyxoydwP51Jc+M5kVle1c+pQ8/zry/8A4S+eKSS0mLOzDAwcVYi17zfJ8yPcAGJBPJ+pqnD+ZGcqlrpSO9j8c2c0alomA5yByR+Gas2vjywPyW6SyDpz8uDXna6rokGXS12yEc7CD/Wrv9saYibIYSxcd+MH8KtQp78rHGUn9o9Tk8VrcJtniIjwMEOMiprXxXpQV4bssgXocZ4ryafX44pBHLZ7FONpU7gcVMvjSGa4MVzakJFzkDjArS0XHYXtHfc9bj8U6JASkMrbn55HBpbfxLpEt55aXW1j03IK81/4STSrxGuEHAHyqVPWs+HXdHkQzXCAMOBnv+VJLTZl+0l5Hr02seXc/ZoryNjncSw6D86S+16CIC5t7iKRxxnBrxuTUrBnV/3aBuOW5xUcF1ZpqYQOgjAJK7sZotHdke1nqraHr/8Aa98VUxtFIzdSpYCnR3d4sZu50UkE8Bzg1xNnd6e8AkhXkj5dsgY1j377gskEzF93ALevY1EXFuxUnLc9Ntdcv5GPm27Js67fmqrc6rFe5YrOvOBt9vw4rhpnuo5czStH8vTdwfyNUDqDWkQlNz5Ssx7mm2ug7tbo9QhvLq3gML+Y6Z+XdjIpz6msTCNklZm7gDbivLdR1K6SRZUumbC8qTwat2uranKi3MU4Tb0Vm4zScbu7Dn6Hosus27sI3DjPqoqp/alpBcHzNyk8DA5rg31XxBaxBpbhEBOSR0qpdXur3UgktrgOwAOV7GlqhOV9v6/E9FmW21AEDcrKcquMGizuLQRMrsWIOMkcg15++u65EiMsgDqwLNjkj0q7d+LL8II7ONWLckkYFF3awKSvdnYvqs5Zo7djgdT7Ut3rrafbpcJ857jNcQfE+rbo3YwoncsAMiuc1vWdYa5UtGrI3TAxkVpFu5Eprl0Z6jZ62l5IbyNsDOCoPHP1qeO9Mb+c8pXJIx2ryqz1nyLYyGwjOzuTiq9x4ngjdZnTbzwO3NVd3aRKqWW56uNRlgkkWW4JI+YADgCt+PWo7qAsZVTGOvWvDrrUtGubqOae4CSdBg8k+lZsF+s+UR2JOcY7UO76ic2nse3m4kuCXtTuXJGcZwabZTzbMCTaR1OMGvGf7Uj0yUAu4lYdAePrVSPxOj3zNPM6I3BAGTn2o36jc9dUeuX+uyWqlGuCFz1YYNV5tRijWO6R8s5BGAa8hv7oX7KVE5Vc4ZsY/nTLC8v4iI0ulbYcqOePrV3sk+pk5Ns9av8AW5p1DK+zsA3eqD65qTP9khmjAUZYHI/CvPdSk1B4VluphhCGwDwSOlTxateX8YUPCGznNDlpcJSZ6bDq91NYlGkABGAO9YunnVYMs1wqkEkjPJBripNQS0ucvdR/KMbeozSz388aC4ZoizcZPGfSpVSVxpt7o9XttTvfI4yUztJyOf1rO+2X8x3K5AJ9RwK8vbUNTm2QzLE2eFw1aOnzXscRivxGu08sGxil7RrYSqN7o9AgF7JlWjL9cOTRa2E9ujXd05VT3OK8zutQvEu/JjZvKPIIk+9+lWLa+ZN0SmRzIcAZ4q/aSa0ZXOuxY8bWWq6rBa/8IzrUulzwzebuhVZPMAUqUdXUgrznjByBzXCaT4O1jV/GFj4p8X6u2qXGklzaQiAW8Ecjgqz4GSzbSRy2Pau7t7rW1jL3CyRovYNz/Krn9o3t3bCK3Z1YMTknOBUOz1/U9jC8QYyhQeHpNRTUlfkhzWldSSny86TTadpbNrZs3pXmDMroMLzwMiphqYdljXA98dP0rkjqGpxRmE3ZeY8kD0q7bapq0lmwuN5GD86pirU5W6Hkp9EbV9qsUW1I5BKw/Ksi51eKCNo0bd345rzfUdS1GC4AEcsjY4AWrGmG+j08XU0LxTs2CjDAwavnVlYz5pN2sdcNQt7mBkuPkGM/MKyXNo1uoRwpPIUVz1/rGviTZcx+XEeMlcnA9KiivomkiBZgxXIGMDH0q1UmiHLodIsGyIusgIHOB+tU5LWOaQSM5wew9KYsj3MjQmB8EcOOKxIL7UtP/cSWhCqx/eTtsGPbGaft3e19R2R1kNrpsoWMpJjOCTnJqGXRbayuAZC+2XP3lJAH1qKy8VxBjL5kDMF4Bc4/A4rQt/HWj3Vq63UkIKdQGZsZpSxE1qgUYyTZZtvDFm0O+3nzn7oPGfpW5FpcVpD5TFgxBBfHHNcVB4v0guWuGjSKLgcnJFbcXijTZLET3cyJE+QmNxP40pYqqOKi2b0Vgllp8sv2gOq8licHnsKtWtjo6QGQzIZE54/rXl+sXF5OVmiuiYRg7UHVe1dGmoLHZC6dWaQ43E8Y/CoddtasqnZyZ6HY2Ng9t51wnf8AOt/TdM0aRClvGMk4OO1eNX3jDVfKWLSrMypj523AEe+Ksadr2uRwiSNniHVlCk5qXUck9bFxmoysevRaVp8TyS4XCfxHvWZDqttf3JtYolA6cggfrXC2PiLUHuHhkDGFxzk4Of6Vjaprk9vdRRQxySyHjYhyAPXNK7futmnOmro9PM2rTzBZEiii5HTrj+daiXMcEcayNGCTg4iJ/rxXkUt/d2l5meORjgEZc8ZpZ9R1Ge6SXTZ2iiRPnibGCfrUuTHGTu0kexQTi1cRTzwx7+UyAKoRX2nRzNFNdxNOHJOflyPTivFJtVlu51E8Su/POTwRVq1AsQ+p39yUI58sDcP0o5Ut3qNy0uke8wXWnzZW2kRzjBxk/qaydT0qxdI4bmVT5jHG3pXkWheMINQnmtp5HQAYGIyMj61V1Lxf4Z08raz3jNJnYsYbJ+ntSV4ysmEpxcLnq4n0lrplbZH5ZClj3zVy78R+G9JURNeRgudqjvmvnpr+DVQ95aW8qQL0LudxYdMD3NbNrMl/AtzqlmUaNNrbwOo9MVUr9SIVlZo9IbxBpYlCTFCrnhuprQufFH2GMraDC7cjHJb868vN2qtFc2lqqxrn5pGGB+Gc81W/tq2vZWvLuNIpY+EC/N/XrUt9yFUcdEepXHih5bEL5eE65yOtY2l+ML4yzRXELyxIcDv+VcRNqMUdqA2ApJJ2rzk+1Zb63dQwyxyXBWLoY4owG59+tWmrNhGrK92z1271kRO7NE6blVtxODXLvrN096ZZYHeMgncOlefT6y07NLmZj5SqFbrx+NW9B8XAxfZ7iJ5VGQM4FKLaVxSqJtO56FJ4nlj/ANEhDQttDdQcj9aNQ1m/urNXtnZWAOCzDB/AVwmpa5pgIuY4f3hGB8wrm3n1LVQGgT7PGc5Oefwos3qyZO0t7ne6XFc3UjTXcrNgfMA/f1xVfWPEdrZSRG8Y7XOwc5zXG2DXcFvPE0g5OOTgnNMihmkUxuyRuvI38nHtVxX8zMPiN251qw/dqfMctnCZxmpf7Wt7ULFb2eGPzAhufxrkhDdLcLPNPDKq9G7j1q55ti9x5MdyschGQwGRxS5o35UUoy6I1xq9yupLiMfvMAb2xzW1carD9kd/KAIIJz7elee3U0URX+17kBvvK3TP4VcutU0y3tkii8wpL/F6mny7XKjF7Gy3iKG9Zra3hQg85HUGsKaWdb4rHOAwXPJHGO1ZTeKPD1pI/l2+Cg5YD1rMuNb0q3lQW8RaRwSWI5/Gq50nZByb3Z1lrrFxbuz7RtA5K85/CuuGtWLoodsSMPlC149H4jukuo2eFkj4A+X+ddBca88LtNZiNAE3Mx7+1RzXYkktGdZZeJJfLKMrMqArkDk5q7p+t3j2+11kULwcqcfnXltz4y1OBhJY7Gjkx155rrZdf1IWCx6tIqy43Ng4GD0wO9U1f3rDXqbd5pV3fQm6hjaRg+RliAB+fWqKaNqbsshVBt5Yt1+nWuNvfGeqiyNrFIEGOrcVyunX2vSbpbq6UL6AncauMZWZbhHdn0j4P064tte0t5ZI0Bv7bhep/epX9iXhE4RPoK/h08B65I3xE0i2upZJE+32mAMnDeemPwr+4zwl9xfwr7/gm/JXv/d/9uOepayse5aVygrq4eK5XS+IxXUw190ZFiiiigD/1P79ZPu1gX/3TW9J92sG/wCFNAHkHifhGPtX8vH/AAUO1hbf9q7V7J32f6FYkDOA2Ub/AAr+ojxP9xs+lfyp/wDBSO4EH7W+tMbcSEWGn7WZcgfI3SvkuM/9wV19pfkzSlLldz5GuNcjguWu/NBCgYXBNdFFqPmR/aJGBRhkZFeLy+LNP0mU/a/vnkhRwRXW2PxE0LVLMf2fDiMdjX5LOLVmoux00ayb1ZpSSX17cyTkjABYKOvFSNqM11paoUxgdD/e7VlTeJvD8K+esu12O3b2z71j292bm9V4WD7m3YDZGacHfdaI0bjfR3udVa+InhiS0u4nY+1bF3r9tNb/AGIo0QI79TXFTXl4uurb2yeZnB6cZ7iuwdp4H/0yzDZGcIPmP9Kupy6SNIRbbV/wMgapDcTx2isssY7nt+lddDNZyWcrpHGsiEADggjvXnloGumMs0IgLHKg+ldhHbWQsyrYDhgQc4GB796ipLlVjWjFO6aM15baRwJYoUI6EjFV4T9suBgbVB6oTiq+vaZa3zL5hKqACX3ZrmdIZ7BmgSQ+WT8pJ6/jShdq6ZzuPLPlsdtqN0YfKWGTdOmcLj19+tRsNYksljG3zCcMM4IJqC+1CUQxoYldV4465Na0OnWmp2qyg+VcDrgkkmq57ast04ubscnZaZqsl29tcbY1H9xgWxVyVNRVTgNtXgszdB/OtNdMvEd1XMczcb9uTge9V7xbeDLXkjTPwNp+XJ/rSdeUmYOkk9CaW/d44zCzoiqST1Ga0rG/1C5/epLlNuACOSfesHR9UaG8e0wy4GQnYiqV1L4na+Fxb3W2MMcxEDBHboKaeti4000pM7U395KrRBWjC9SOM/QUXFzNDCnyNh15LDFcU+o+IDfSWJuIlPBCjOQO/aptevtUitYftV4rRkAbP4vxrRNq2orRVz0WGe4keG1RU2uOnXtWdrH+g6qkkoC8EEHoK5uw1WaS8t5YGKvEDnHyjGOKxPGd/ezypNM4DeYDyOcVNKpeYTkuRs9Utp9U2FVWNYyMrtOGx+VTXM7GZY442DHknGea8q0/W9daxP8AZzBpSSFDHiug0DXtdS1M+pMryoCSR/L0qHzXctDoio2szUbX5k1jybh2RV6t6musa8kuLQlX3IOcHoK8X1rW9xNwTtaZicKMkH8agk1bVNTslm065XbFy3YHHaqnFys1oTR1k7nqU13csPMjb5HXPTnFRpqWrRxrHz5UZyW29c1wOn+JfEOpRNIXjEUY6Lxj2Hr9K1I7vVotPEmoXDSSSZOwHoAe4odKa0bREYKS5k3Y3tQ8Q/2rJHBFGNo4YEnFa9lf3YXZp0ZRGGOTu5HvXlk+t69bs7aZZLLtTcOfmNc7p/xG1Z7hbRtOmgl5JAGQMdTnpUuE27JCi0mnJnst3qWoQMQZQkjcnIytaUviAWNoGuXVsj+719a8mj8W6RqtwIbuU+Z02kYJrpba90+5cx20itEBgbup+lTKEkldGsZJt8rOqXxJ9oeOSzhVYiPlB/wqC58QldQ3KFzwMdfrXENeW1u5SYFV3bQemB7Vev8AW/DVjJDaxBlO0nA+Zjn1NXyN2cUZK17N2O8t75Zbvkd+V9RW7LJE9t56QKQpGN4GBXkNjrmkxXEUxkKqzY+b5envV6/8aafHOGvJlS3TrtO4NUOE+Y0i42vI7hb2JrjzZbJTIjEhgoIA9RS/2jZQh7jy9oJ42qM/lWPZyabqtut0l5tWX7iqeMVzWrafDbo19JOzRod24t3HbHpWfPeyd0bOCUeY6q4u7F5FBDM7c7mXoPzq5aX2mxW/loHGDktswCPUmvLrzUkvoI5/tpDHoI+pA9KoT+LLnQLqGVpWmtJ/lIcfcPqa2hFy2epz86vqexvfWUyP5iKBxyvcCuSuNe07SJg0kZWKU7RxjHviuHtvE9jdxPqUFxuBbCqAevTPTpVWHV7/AFy6dWGFh5zgfMPxrWCaeplN3Wi1PU01lZbNcMCDx+BrVtDp6W3n28oA/i5GK85SO6lV7iCRECj5o+4NakV9pP2TE7bDjpj7zH6VjWdlcrkva6Oqs5bAzlFtgUPJyRReT2EqhLqIsM9M4AArjtMkkiuJCXygBKrzu+tVdSvrYFZDFJJIx5+Y4H4UabXBrli7ndCLR7p9qKBHjP3v84rBeXw/cea1vAbjDYJ3nAP58/hXH3V20Y2ptaMnLgHkZqhpd8bZ3htYmWEOGQgcHFWldOzErLoelapd+G7f7Lbagjhn+4EBIGB3xWLcvoxVzCJMq+5WTcCR+NZt3qmrxaaL2ysXjO47nl5yD3Fc3JrjuA8issgOWwx2k+tFPV6BLbY7y2vrBpQkUk+FHHmE9T1rVtb2MMYxIxZ+Mg9q8wbxVLbSrdzw71jGBjkEnpVm38Xw3chuGhRJD/CjHcPwq4qd1YGlrc6m5OnRX+152Eu7GC2KddaiY4DaxXjA5z8ucjFebt4g06fVpEuIGaXHHHNQHxhpolOlGOSORed7D5eexNV7/Uy5b6o9avNRmW1juo7rKiMFm/iz7151ceIorqcOb5gHyC65BB9s1wM/iiO11Y6fNPxL8qj19vpVKfXtH064f+0n/dRc7sAAHr2rSlCaVrCqwk9HoetyatPLZtZWd88pbgtKpJ4+nSpkt9RgeOW51HO5cH1x715Nb+K7C6f7RaXISLG7g9QelOtfFmnPARHOXLnGWHX6e1bulPlujOcZPSSPUn1I6dMIbu/kEbnCsvGM/wCNVJ7TQ7m782/uXkVD05Oa8ibxIhugbqbMYzkEZA9Ku6eItblkaa7ZYugC8c/WsZU+VXlsQoS1aPW7rV/Btrag2lszvECMkcY70mmeJ9DdS8NluVgN2Fwv1rxDxGLC2hMumzyFZGCsAcn0PWr3hTWtLil8qdi6qMFRn9auVNOF9Qg5c9me+3Eehajdq/lsqMPkBOADWnayapBCRpkETpyMMc/nXn9xqX2ULdDy0+XCIQSQKzrbxjc29yyEBjgEKvv3zXLaTWmyOpxUZe8eoJruvCz2m0jRh8oBGM/pUreI/FRSKC5EMQkBwMZPHc8V5Hq/i7xbLpzJpI8rLffJyRVS28X6w8aQ3i/vEHDPx9fzqvZJ66Clype62e43E2oFFMcxJAG7aAB+dRw/2tY35ilu2kt8fMnGST7189X/AI38U3M01tBGEjRN3XOfpVPSPFfihZ/Kuo3bb82fp0q1RdnsTGpBtX3PcNe8TXV1IdLso3t/K53k8EHpUmh35sZvtN1K0zqPmDEc143qVx4j1GV33HMihkBO3aayNNn1yO6L3e5fK6FuM1fKnC10g9r717n0l4h8bXWoIsbJ5aR8g9RWLYeIJ7kNBPjcwJXJ2givH4brxhe6hM94I0twilWyensMVkXzeLbnULdbNd0LrtYp0XnrWToRSSbRdSt711qe8JqV0sdzHA4RxtwF7etdMbiZfD7pJcRAuudxAzur58Emp2I+xThsnjcOh/PmrMF9fW1oLO+LFH+YEg5+lZ1LNqzNIzhY9k0bX1uJvsQv47YKp3sQDnj3FZlrbWcV+16lyJwxLJvC4+ucZrz6KysdSYW9xFtwMgjrzVmxtLaDTPs8KSOIgceYcfrSuk7o55S0Wh11xrM9xqjWFpdRptw3HB/DtXW3tzELLMtyxYON5HvXkFmdJu5kv54Qsy/KcNxgdDmun/tOz1O4eGBTtjQlh6kCm07bFUUlF+Zp3l5ZPYTz6KJJ5AAMPkDI61VstYkufLtbq2EW3ALdM57+9Ur7V7Ky07y7dWw6jOcAZ9BXEa5rKpZJNIWi29Ah5/HrUQcro0ly3Vn0PS77xJpsFyIEbAj6sOQB71l3vjK1tkUvDuEpwAoJyfWvPdO8SB7Tz0KFWbDIRkkVZXWNQnt4WtwrylmA+YcCtbe9qiFWj2PRW1W7e5iHkgIMDYhzn3+lX013S7OKeO4QI0e0nsRuNeezeIJNLt2d5EM0PLlAMkDqMVzekaxqniS4h1ePJtLqVoDlQGBQZ5pOndXWwoON1Zanqd7rdhFdy2cISXy8Ev7n0om1xVaNZSyIyBuOmK4e90n7XZxuzKFG4M78NjPPT+tUU0q41VkhgvTHBAAvzHBKDtzQ3Ha5fMo3Rv313lvOEwRcggk8/j9a5G78RzSa0IJbefZ0VomyCPXjJFXr/Q7K4lLPcBAOMZ5OPfvWGkv/AAj10bxJv3TsFfIywB4wB71vT5X6mDbudta3llbyFMk7xkDrjPqPX3pFWN710tPNwACTt+6DWRLqXh27EryvkL8qY4IHuRXParqI0S3Fxpk+/d1bORj0oSjsjp92yaZ39zcWcd59jX96UHU8mufsr+azv2e8up5onb5YgQFUHv0rB0TXn+1vLeW3zgZRyevHNY1ze65e30t+gxExJVMZOfWnFOKOf2j1kj1G8spPKMNqrPHPyCxwQetULC5S2vNmobd/O5ieD6Y+lcLYP411S2lbUJSqn93GU7ehrk9V0LXvtC6at4QTg7j978KIwum2PmaSaR6h4kuNStWMmmgSnoFJ5Oe9claaP411VifETKtl97A6j2+lUgdR08C3itzPcRj70h659K6zR11qTTWudVfy/N6K/OB7YpuDhZpJl1HHRs6m2v8AwTZwQwMWOcRhAf4vWrkuqafcXObdHZhxg5bgdOteUulwlwrWsasI5AucZOfUCuwhsfFM90s9rEAQB975f0rSNPW5CmmrGj4jvIJwIti7oxnYc96xNMu7V7cvIwQP972xVfxBpHia1vVledFlkA3bewqxovhgyyG4nZGJ7DPWp9nLVDWr5Wdd4D8QW1p470ix09EbdqVkrMRg/NOgr+5zwkcKufav4YPAfhtbHx1pMl18zPqdkVbPOROlf3QeEj8iA+1ff8GU3CFZP+7/AO3GdVWse5aUPkH0rq4f6VymlfcGOK6qGvtzEsUUUUAf/9X+/WT7tYF+flOa35Pu1gX/AN00AeQ+J8mNq/lq/wCCkOoWVt+1Nqlq8qpLJaWWVYdth71/Up4o+430r+VL/gpbJpMf7VOtfbApkaz0/wC8M4ARv518pxjFywMUl9pflI2otJ3Z8dNoPhK8P+lmMxkYJ/2jVKb4a6dBZefp8uEXoo+6B60unv4cv7FrUxKUB3MQR0FdPaRGOz8zRryOFIx8kbdMCvyfmnGdr29TuhTpz00PDZvCL38FyltPIDESx3AZbHpVbS9I8Q2luBCpRweGY44/pX0Haz+IftccOpxxIHOQyD72frVu8tFvbkRyQqyjo27bn14rVzvdtLUxlg7u6ep89Wus+KtEj+32arfOCc7WAx+NY1p8avGuj3ZXWdPZ4nPyhVwcd8176fCujMzBkMMYOQFOASf51ja1otlcELLHK+0E4U9frQo0ZSu43Jq0anKrSscZb+M7fVVF9ax/ZXKkhX9PQ1g6X8UNNvdWGjagoWJTgnJ++K9O0vw5YXkf7zTnt1+7k4xirs3wl8PJC0sCoC3zHHXmlH2EW3KLNKKrrVGZqmtaHNZCWGQeQ2VODycelc3aOutwiTSJES2jb5kc5JParx8GXljANN09Y1QknLnJ59MioL7wYmjwZEjq82CvlLnGPUCslyRla977Fqdp3lGxuavFeyQp/pEaSLg/JwMUthJqem2zXLsPnOd2flrn1SWO3QzJudWC75BgY9ves7WJv3Ys5pl8gncAeeTVwg/hSRhLEqUuZnbN441VbkWsyp5bjG4d/pWHJNAb0LO7Sbjux6Y9Kw4Iftoisra6CKMkben+NP1m4+xxxwhNx3DO3uKt0UnsZzk56yO9s7iw82SSWM/d+8Tzj2FX7YwwFruTHl4yoU4P5VwcerXUpDadbO5VQoTGen9KnuNYF6Ehv4jE6A4CHr+Pt3rmlBp6bMtV4rR9NjQvvEFtcyjy2VHYbiQOSBWB4ku7cwI1qxfADlT2J71X07Spr64muPPjjcA+XnoPwra/4Q976HFxdK8jDGEGBn1NN1IRaTKlKU1fuW7DXhdRIY4x5qgfMeAay9Tv3vbtv7RAwh6DuPXNUIPAqxRGzi1Dy3ByrdM/Sl1HRINNijvNSumlVDsbdjHH61HuKT5Sa0ZJal6x1PSkQNbTJGVJ6vzXSTS3c1glukRiI4JByGzXAR2TawV+w2yzW+QVz8oOPcc16Rd6PMdJS+1W4+zxhM+UnLL/AI1pJx05dWa0pPkbaucvc+G5pHESAtEfmIX1NdJpmm6ZpEAQR+X5v1O761NosmnLYSRLdHdjKhmwWzSmRtTWKyt5BDMrhWVuevvWTu5ct7BGm9DOn0Wwmu1tmjaGEtuMiHpW7fXFlo9osqncsXysW5LA1N/ZOqeSYhcxIsTneOu4dgOa5DXby4guobW7BG8HbF0H4A0ldyte5coyitDSbxR5KJcWMCtF2/vVHZ+MFuUeWzthvAP3jxn0/GsTzTFMYDKsS7QWXG78OK5ae88QC++z2DJGFYZJHDD6da1hFvZGKrO6TZ3tvbRXiLfz6WIrt2yX6HH5dK34PDEFvtlkTyZepx96uRtNY1aztmjR/OJOSV7D8azb7xn4gKmKwDTu7qNxHCr3561lyV3KzZ0SnTiua9zY8XaTYwWm6J2lnkbOAccGq1l4K1BtJbUC4jUkYHcj05rm/F2p6lZQWs0yeauQzMOo/CtO78aS3dlFJKG8mNeAoxluxPTitFKrZRizmk4+1lKfyNO/8ANfKhd8Q7QWU8En2rjLjwkrr/Zd4jTQJxjkN+ddFYeMLp9kFuzTFvmP8SqD71SvviBpzalLbQFvOUZC9Mkds+tODrRd+gqns5WkmbGjaRLpdoYXja1t07liWx+daktmuoabc3KyrNEudiBjwPSuL1D4gaxcC3tWsFnt5crMc5wB0yK37LUIILSVIYRbooz5ePlP0NVzS/iSVvxOmnVpbXujn30Ka78ma0Urszny2PyfX0qy7R5j0+9UySKMlmGVI9ayf+Ez0i68zRNIWWIzECYuhBwPQ10Gna3oOk6jFpliJbgbANzKcA+mcVN3F6pk8sVZqRpX8tlp2lxW1nblnBHmFRsK56dKy73VvEUFwrW1ophKBQV+9x3PrWhqXjK2FwialGbeGQFTt53N0GawxdeFdLvzNLqxjWVRiIsDz35q05dgtd2i0b+nW1xdRvqsC/JL8pw3c+ori10b4lJqDzrPH9mVv3SkZOD15ruZ9V8LW9gsml3pO/pggAn0/GugTXdGSxN8t4vyBQV3DcT3AFRzuz01LjCLbTlb5mdb6lecWkjg3CphgehPpis8aze3moC3ntmdEG0sgx19auQeMvBlrqHmnAurhcLuPY1uJrUaWzSaRF80pwWbGKSTWvKUrPTnOTn1KPwuJJYLR5gTkjaW5NUJvFXiOzeC40+yENrKhYFl2456fU12K3vlyhtVmhBf5dq89O/pVPVItBvIDFcTt5Ug4KHOP8KaUHJpoOWVvdZxs/i3W75yLtlRBglD0x9KuNq1mNt3GhlUjACEYX8e1aU9h4XgiUPvuFVcfKRk/jUOlad4Y1G2eFLaeFIztwvQ/rVxgo2cVcUYSm/eZNLq0FvGyfZy+/Bwe36VzpvFk1JsW/8AACh24GD/AFrp57IKgZU+fooJ42j/AArA1Gz1l7fzrkDyg3ylM7sdqmnJ/ZInFy3ZoR2VvcWG62izLvAzjBp2oeHIwU+fYYlLcjHLCk0aPW0nF7CmyFv9Zk5A9xnvV6ex1S+vQ/nAg5wJOhH4U5QqX1ZcbJW7nlVz4W8NXkfn6rsM7N8hX5h+nQ0ifDDSYohJNdKE+/yOoH49q9Wl8NNHGriKKHJz8pzn3rRstM0vUHW1ugxUAjn1rohOt0egWbequeYWngzRGs3eKUSq3O5Rg47AVl3XhMiVPscOBGu4o5zjHoa9eXR9K8Pt5kdt5jbztBJ2mt9btNSiE0tuFZhjGO3+NKUq3M5XbRXsue/NufKUHh2WB5VuoQrSneCOpC88VSitNZ1m/Nvp8csMQ5wBgCvoDXLQTR/bWt3jmQlVyO3TtWbY6PdXibbaUxSYw2B+ta81V7xOPkkny9DzGLwutikisCqhlJYncSfp/Suh8OaBpllLNeXEq735SMDnr1x613Y8KajYszWqNcSJgvvIxzVKazFk7ajewBWIAB649uKlqrZpsvkknexR1G4trjUhZ6bJ5ixKRhhgg+9UL7VLTR7iGzgg3zPnzHx8q56ZNdPPGDIkyW6r5vDMB8wzUsdlHdKYZkO1c5ZvbpXPKnNJJBKnKTZy+o3EsVkHs4S8pO3Gccn0FZ810t1p80WqQAHAwXJU59sV3FqkC26XMR2SKMKBWbJ4dTVrcyXbgjccp1rSnRm7JCVGT6nNaO+lQ2kXml8MNpI52/U+lWILzTE1Yy2ku5cgDf1x36cV1el+HtP+z3FqJNse0jywOjfWppvBWkQWkclnt81mHtkV1ewk22zonhvdjZK5SnfTbG/TVrgsYv4AvPP+FYcl9ayk30q7VOflxyx7V1OueE727mhhEoiiA+Zc4zVXTtMskmS4upAwLBQp/hxxmoeEadmzJ4eS922hx2meIbZdUa1eMu7jhWOQB2rVj8YnSyscls0hkBKiNchcepFdFP4Ghh1Y6ujZDOVG0cNV+88IJDZLGuRLEDuxx97kVToQe4QotROYvPFkOrxi4jjeNkAVvMTaMCs60+3X9v8AbfM8xD/C3BAHoK6zS9JkMb2EvzZG5mOM4Pb0rr9U0+wXRorOMoN3THX3rBYWKKalNXnY4qSyKWMclkm64YZDE4GKz/7R1F7C4luIRNK4wAnCg4xWhdWy2qtDHcHDIEUKe471l6a3m28sMswBz8n9a1WFT1YSpWascBHb6pZzeTcSKjSAMScnaT249K9G0SfyVmmtW5UBSSPmIYVjSFLXJn2vKvKbT196Q6/a6LCN6b2Y8knjmqjQT0uYcnI7tkOrLeakFa4tWkWJ+GVs5UewqlHpt1qUSwyx+WpBwrDnjpmsO9+Li+G9Y2RQgGTj/Zx616bpfxG8LX2m/wBpX7q79Bt65PoBTVCPQa5JS0lqctZ+GWt9NkmSECfk/MMA+wrYstJmljSOzjWMH73PQ96t6vrV49okohBiK52g4JH44ryHVfEPisXDz2MLqHASMYOAR79KXspS0SF7OMZHqMugW+n3dx5MfmeYcFgc5BHPWo1jultlsktxEsLlkCjHJHU1T8L/APCSXdtHb3MQDYy79SD2rtfD3hrxvc3k8GBfRZO07sbT6d6r2bW2pvGnG94nBw6fIk0iM8we6IIXcCF2+npmrdr4fGpSMA8ruOdpPGfpXV6r4F8RG+itUjNrM5O1nOF9+a7Cx0b7Fb27hx5iKS79zjsfrRaL+IqrRV+x5Jq3hJuJZAyrGoKqBklu/FcvYWNzqYayltpGic4Zm+8MdK961qxWW0/ta2ucSE9G7D8M1yGuR6qdMA0dVVkGS3c5rVUI20M5YeFtDzJPDjwXb2OmRswPyB8/Lk1dfwVfWls9ii+fNKOWb+H/AOtUuiNrsb/anzLkHJU/Kzew616Fo2n6xrtsLvVpXsZlfYoDcFfXFXy8isxRoQWsU7nFf8IHqUV19ofJLKAuemQOa1dB8I3TMYZZCJ1BwG+UEfWvZNE0G7ubtYrS5FwsX3zJ/wDXqHfolvraxagxE3OQDwcfyrOU4LRoPYx5btGKuhpJpSw3v7p0ccKMZrzC98IXC3DzvIzBnI2r/Co6H1r3LU8396q6cGYYwqr2J6fWsSPTbjQZ5JdSkO+VeUfHH4CsoTi02lYdSHN7ttjgbvQotLs4ry7hLJzyearW+lTXjBpfugghe1dXqV1aazpU2mxTNEyjK5PBP061xtpPqekWLWeosrhv40PX0reErvRGcoxTSa0O70XwhFPcuVCMWOQVOSK6/WG0/TrBNNLKJR8wP8WfrXgEniTWtHEVwnyiUNwh5ArDXxJqOszeZhlWJxzJkHFPmV7PYIYinHTl1PStSjmvUlaYGQbcZ7A/WsHS4p9Ps3a4c7STjJ4FYra/c7JrcttSRjhj7/0qnqVxZGxMgZ5FiToufvjuKp1Yp6C9uk2zo9D8UrH4+0K2P3l1SwACjs9xGK/u08J8IuPav4Efh5oc+sePdDvEkkjI1TT2wxzwtzGenviv77PCfCqT7V93wnJONVL+7+pzzd+p7npXCAV1cNcppX3BXVw8flX15mT0UUUAf//W/v0k+7WDqH3TW9J92sK/PymgDx/xOfkb6V/LL/wUY0KHVf2tdZmmwypYWJZSM9Eav6m/E+fLb6V/Kt/wUglvIv2uNZks3IYWFh8vQY2N3r53idXwa/xL8mdGFV52sfCsXhSwe9RbN2USScr0X8q7azTw7p90LNoQ0n3dxPcelZqhZLhLpFaOTA3HdkVS8WeHILqRFtZAkgwxkXqM+nvX5lUhzyjFyO90Hb3e5T1e58Rm8SaKLESMfLHp9aoza94vt4VN5abF5wQSa6PQ0t9ODWtxMblxj7x5NblxdW4tJPti/uf4X9KlYTlk1yr1NnT93U81t/E2uWskt3qLBbYMAgIz1pt54h1OO+j1GG4PkMNoG3gk9Dmt3fZalC5WHz1j4VR3PbHrWTcWVo7W0U8b2xLKWVhkY9CO1RLCxey1Obkun1Naz8Y61eXbWE78FPlI6U6G/URPPJdyqc42rwDj6itYNpljGLeEJJP1QBcfSs6C/W709rbU4/L8wt8gXJ/H0rilR5HZIu0laLkXDqtzf7V0dllC9TVgPqRiaPVACeg29BXnca/YGKaKDCEztEPBP1zWPDqPxGtZ3vtXjElq8mFVjl8evHFEsK27q1vuZMHe7bPSNMsb271FrBI2Zdu/cwyv69DVK88OW9zI9rsjYvkZ44I9K52L4j63pqsZrfyoD8u4/exWEPHFhZRm6ZsqxJ3A55NTGjVctERak79Xuzd0bSLy0dm0yBG2HblsbufQ1Qv4tQtNWWG8bdu4wByDXMaR8UbS1mnXO/a2cjnpVK4+IkGvrOy5gdCXVn6tW1WjVV3Je73OerCm6d4s9EihuVtJtQkZmaH7oHfsOlNtl8WNBAYoY1353cZ4J/wrifDvj63gjCXUu9vmyo6H61btPjZpel4tHQDbxlmAI/A1g41Ffli2XR9lKFjc1K7vrdkh1HTZiiyeVGyDAx6sQeldBJby2mqLfXBaESRgKqHKjA/nUlp49s544ri1lEqTnOF5K5rndY8VJJ4gEtzIcRodufcd6KcJS05dDZU6SencuvOdRktpIVWYQgjG7BXJ71y2s2kEN4129yZHz88LvuAX2HatTSfEOniSDe0fl42nbkYyeprfjutC/tHzBGkrtwGwCGA6Cq9pNOyWhjKkndxZzun+J7eG08rQ4pBJ18t0KIcd9x44rUn1bUtRt4rs3SgvJ5Ui7ht2dSoFbl74mieLyL2yEbdApGFQf1zWPc6Xokk9vOlsOSGYKMA+/wBaLQveMbd+oQo8runcyba/0OPUhp6uR5WTgdSW9zxxW7ppgt7uS9nY2yRg7nPLO3t2rr7Lwr4aVprm5hQmHaefmHP+FULuHQncQSXEZhboO2fpSdSk9Lfea+xnbTcik1J5po20phsY5+box7/jUfifx3p+jWaXl9D9pmiIBwoO1e/J5FSS6Ta2F/bxQOWilzxEfb9MVW1BPDsd5NFefNEiEl25Zv8AerGDpu8i1Cag7vX8CWw8T2/iPTpNV0exAjKjb8uOfXPWq62mm6fMlxvVLyRTxIdwGewPep7HVbEX6W1q6+SVGxV4/PtV+9jNxdLdSRRopPBHQL7ZpwcbuKdkQrydupyOpyX8V75OnhXZgPNULwQa6rRdLeJzHGxc9DvG0ZPfn0rjIVeXV7i7sFaXaMbEPJx35ptpqPiTUbRAWeDDgMEGSR+NbScZK19zCEkp6q5oQaNb2urSahqlyJU3MuBzz6Y9qs3HhHS72yafU7lYfMUnCnBx6itfTPDqszSEB3/vSnG38uK4jxP4TuNRMsNhcuryKU2pygz6MeRWekpJQmbyoNwUoq5teGfB/hLSFZtNvDemUEMXbBT6Vzeu+FdKWJ7izxO8KFkC8MWHT8axvC2lXfhvT/7IS2kumjZmkeMl2wfUn0rqLfzLy5h1E5+yKMIuzBJ9WNaSpOE2lK6IkouKg42MW18N63HDE8spjjkG4juDitbw7puta75sN1IkcaP5aBjyV65NdjaaKbtnS7nYpjPB557fSqd1omht5GnyXLRqTg7DtJ9s1PMk2m9PyNI0LOz6DLy2isdPHmxxpIGA3nB6H+tGijVLlbmXU0Ty1P7oxqMEfWtSGHwdIp0yGwkuo4uA9zyuT3AP8600sBYoq3LeVAw2Ko5AA9Kr2q5W2vvNZQW9rnNXvh+3vH82WUSqwzsAHygVjN8J/B+qyCfUQTnDZPAFdHeRLpcJuvDaj7w5bnI759RWt/a8l5ZO8sRRkA3leFGf7vrT9rJJSgZVIQb0icX/AMKttJGaVkKRiQCNR34/lWVd/C7SJD5lwSskRJyG27c/TrWt4gHiO0nP9lk3Cn5iquBx71ZvdT1GBFhS2J2oCVHOWI7+2a6KNRrVWMlyO65TF0/4b6TJL/aLQs4t/uSFs5A9BVzUNB224W3uJwv8IIwPfPP5Vo2ba9dvbtdxLBG8Y8zaCOe4x6VpXF3fySyebbGWFCFOev1H0rb28ebWxrFQXwHIw+DLrVDDJMXPlt1HybhXe2fhC3sI5bKRCYzwGJ4JP863bbWNQOlJ9kWMRxkgbhhs1zmpatrn9nvfwojyjqScAH2HrUOum7aFrkt3ZgXGgafb2UqWrskiHhQM9etFvHeaZEtlDMQsi7vmOG3e1U7fxNeoEfULdgWzhyMZNcm/xBZdXaw1rTpSrfdlBAAH496Pa8ztFepkpwVrux6/b6ZLeWyMsyoEILMwyR6j3zUFxbb58W1y3JIHOAf8+ledaPf6B4guUgsZrhCCSwY8HHYkcVe1W88JtdmzS7dWhwG2g4VgcEA96JezTXNu/I256agry1O4t9O1WS3NhAqoG4yWzuH9K4u+e7SWawVyhiwBtOGPrium+1aLAguhKdgIXKZPXvT760tLxxJZSukaLuLOAMZ7/jRCpCzJ0abT2OW0e61I6ktuA7xEbZCRjaPX3rtoo7rTWadmD7ASMc9a4G98caP4P0+XVRK95Iucx8VQi+It9fWcc01m0LORmMdcN/8AWraNSUvhWncyjVjDRs72OfWNRuBPJHsgwGyzcZPbPrWkk12Y1MRKhDkA8AgVSl8X6PaacIpE2jaCY8EnP+Nc5r3idDarNuY7iMBEIKr3rCWKk4vSxcqkeVy5jpIvFflyNb3x3FScH2b/AArK1zUbqyBj0plxnO9uB+FcZoljYuJLq5LSidgSnfAORWl4i1WyZBFGnkLGcdece9XGvDkV5GMaylB3Zd0PX9UaGeO8m8xpCCGHB+Xsf6VzPiDxRqk08djGOZG2k4zjHPP+Nc0/i2Syuv3COsTfxNwOK0bLxIPtZutRlCwFARj1z09/wrRVIvZaERr/AGbnUXWvamtgpvIvLyy5PuOldXZ6q0diZZ9xidRldv8AWub1TxJdB7SCC3VjMQseBgYJ6n0xT7jxJfadYXEV6vmPvKKnUEjv7isvbvVqPobqro5F3TkvJ9SQWh3W7cDvge9U7mO7n1xxbTBYouHXOAa5hfH8lvZNbafaMkzqSu35Qp+nenR2WpXgjnmQrE67mcrtJYjnntWkKt1bqac8Ohc1TxXFpVvMtm/mMzYDKM5Pp9a1/C2tXGtyxlE3NGPmzn5c+lcVp2mW5mN7cKzQ258wbGwNw9+9UZ/in4c0nzoPCUbfanyrHO7BPWiVT2ei1Zk6yg05n0PqMcMkab7sPsAyufmU/wCFVnTQ7icQRSrIUxyeOv8AhXzBp/iKfTGiutUuvMmnbdtPGM/w1s+LvGOh6Wr3d3I0MbBcMBw2eoFVCs7Lm1ZpLFRex9OXV9eJEkWjSIhi5BPRj6n61yWteK5Lny7NnJnJwwHOffHtXzppPxQOqx/2bpYJt1G7Lk5I+tSWXitbjVCWEgVPvZX5R9COea0c4q+mpjOvF6RZ9FXs5tY0kiLum3DgJ1/HtXE30l/rkSvozGCOMncGPPviljvxNpiSpM9ukvzFgM5B7elMEdjpUH2+0lWRyOGJwUz6j3rJSjKNh1abbsc28t/Zo8mpfJAjEgkne/0rjf8AhKFsIJrvUpDDCD+5LAAn1q34+8ZeI57O2sdJhWaQMAQR94/4VY8R+Db7xXqMVxf6cHkjijPkswCkkDJx7VcXytX2MeV68r0Ocl8WRaoIbiyPmOq5HOOfQ4qxa6Rr9zLFqM0ZEBJZm3jYNvPOTn8q6afwdotnItsmnR2nlp+8fGQfrUY8O32q2vmwyJHbRtjyANowO6nuTWjr0lpEUr7WueS6vpVx4lvb7WBcOZ5CYxGwAVIz128VH8OvBHiTTLyTUVvxGkZBETfNv59K9Z1/wiotlvtChl88LyjyHk+3FU/CngjxE9mbu/hkjuHfsxPy/StI4mMU0logUHF6xPStU1ZNWuoINcCeehGGSIlCPpXrV211LodtaWQhSfd8m6L5MY6kHpXnusw6Bo88c3iC3nNyyhYfKztOfXkd69Nsb5otEt457VmKESAPwV4xgnPSuF4iKhzI7VFyd2WbLS726sjb6y1tZOP4o2Cg/XFdDp4i8OQRxW9wqSv8xk3fKw9K8f1nUL17yH7FAsyOx/dkkgkeuPTtW/LP4zvbNn0aKLdGw8wNnG3v15pRqRsmkVTnFLQ6/wAXm4uYVvbW7EuOXXPIz6Vyul6THHEbW+uZ1SUEhlx07gZrCg8R3Nnp17catEqTbdkaqCAxB9/51Jpeq3Wp2SJfAROOcOvOP61zucU+ZFVZ05w22NK81Hw7omyC1tmkMQ4HXOP4vrVPSNa0rWLWZbSRMAkurfMx9gR6VbXUvJE0csUbLI2wMI88H09KqWXhDwlbPHqVmskUxmIdY+Vz3JFbe2VuWLG+VxXI1c0XfSoNOglt5I0ihD8hOh9zXBa34znl0torIrJzuVoxu6eh9K9IjsNB0fTp4LVCkZPzPKSUOTz14FeTX2nRWVxOmlIJYTKpQxcqlQppaOVwqSjBJqVzrND8TpFpnl/PmSMGTjBB+v8ASo31pbVxNd3SRxjnn759Ko6HYafbXZ3XMjXZcyYYAKD6D2pNa8AGbUjqkZeZQNwQ9C56g/SnKUE3bVkTqU+XR38ifxJ8VJNYvrIaZJJHII3QMAAT9e1eJ+Pdf1uPVLKfTy32kFVdmBbIzz0r2vR/CGmRieLUEK+fhtufulemKlvdGjtrJLhwrRTcgufm2DrUxadpM5n7SfvPbseK3HiTUbnW4bKYqkhQOxRfvCuwg0aDT4ft+oXDyykltinhVPQ47/TtV240zRRdG+0op5wXYhYgkj0xVfRfAt7ca4bvUb94g6gkFflP+zXR7PS6lZjWHmru5De6bFdWFtJESpBbD5yKi/tO30+COGWUTIFO5lUY/E16TYaFo9ja/Z7Rg8yuTskJx9fxpLqw029gkm1CaOJYRiNEHc9c1yqbbszB4W7TbPD9R8R6de2iro0Z85SBx6e9XP7UnbTVj0vc05I3nryf6V1tvp2m+YllNIvcPs7+hrrbvw9oVla28mkuY2Vcs+Pv4rWfK9eovq7nq395418OH8aWXxO0d5UXa2rWIJPGVNxHnj6V/fl4TwVUduK/hl8N+I/DmsePdC04RmK6i1SxDKRlsieM9a/ua8JnKKfpX3nBCfLXurfD/wC3ETw7pOze57lpZ+QYrqoa5XSvuD6V1cJ/lX3ZmT0UUUAf/9f+/WTpxWBf/dIrek+7WDf/AHDQB5D4n+6xr+ZT/goX4Fm1z9pHWtYtrkKTaWaPGUz8qoeQexOa/pq8T8o30r+W3/gor4u8QaP+1lq+m6awEAsbFnB4zuRun5V81xVzfU1yv7S/JnbgHH2nvdj4T1aG7sY/L0WCSdZxtXLj5SvU81x1rc6r9haSVXdojjHRufrivU9Ins9R0t7uWQxSgkrGeQTmn2unWXiBSL2JmfqCO+K/N6b5H72p7DoxdnFnhWoamY1DWMZF/EcESHpn6Vftda1y5gEOqyNGc4+UAgj8a9m1X4ceGLhP7dvVEciKQSerV4vr9j9raFbVhFDAu0bepHrXUsRCXuwd3+Rz1qTg7X3OpsfKhuI5LOSRio+8QAB+VWNSeyuMyT3eX6+pH4VHpfhaZ9NEgnZV+8enPvVu70Wze3iOpR+aQeGTjjtnFDXZm0cP7ujsO0aDTbmWG7spixQnczcGlnlurCefepmaQErJG3HHrWNqOlaJpTBTM8Mo52k7SwPtVSx8VWgumttOdQ+CQh5Bx71pKipQcpK5Xs1Fe8jM8N+IfEVzqD2d9p8aQE4EjLkn3NemymwtdPaa6iACNngfLj1Fc3D4vdrcK0KR5YRuR0BNVNWtrpoTLHd74cYeP/ZrknQi9ErGUabinZ3GPdaDFP8AaproTxS8CHHFUvEfhjw7qtptgg3cEt2C/lWZeeGFLxz6W2Y25BThlPetMG5tnDajMEixyo6n6+tbwguW0JkJys4x0TPJk+GtpHKsmmM8nG5tw5A+npW3aeHraWwliuIFOCQhA5bHb2rfuNW1XS7z+0NLCG3PAPTJ9896z4PFzw3xuLgq7Nzj0J9O1YVqVaerleP43OL2CjuypH8PY7aKSRG8tCMr8oJPrXL23wj07xAzXBtGkjf5XaQ4dc98e1et6fc2ms20l1c3DQxqylc47dRx61u6br9jZvJcwSDKvuQeoHqKzjBqLkvmUsNFLmucxoHhiDR4o9N0qJSkA2hgvIIHUjvXm3ieS5tlFzfwOJ0JVlxu4J/wr0q+19pr6Z9OlZHk+YnAAJPYYrjPE76g8CJdTbJSrZAG4n0rFYOd3yuyf3hOMnoZUUWpwaZBYpshimYSlypLCM+h6CqWi3rWXiryzIPLbhGbOGx61Wub/wARWuih5W87EflouMDb6471j2On6jqdvHLIwFy2fLAOAcdvbFbPDyhH33uZ1GoS9zc9h134gabYQNp0q7DHy0rc7mHT8KoW3jG2h0w6tdzJsjG4DPCk9/WuA17Qnl0SI6zbyecg2zBRjPv/APXrxzS/GOi6frT6NPpc72XCszAlRz9KwhhLwvTT06HPKpOM723Pqt9dXxJp5ZpzaGYHaAeDisHQ7658OtJZ6gDdIE3crnd7A0+b7PqVpBaaSgtzMh/ejr7Vs+JNH8a6dZR2enXcWBaIoZ+pfPXHWroUKdW9Nqx0UpOTb1TRwMnxG8YNqkkZMSQR42KOHwe3Tmuk1HxXfvYo0sLYKfNlf5ms/QfDeoW2synxWfPmlC4nth8447ZyPrXUp8KLa81m3kkvLiSDfwjEdf8AaIGKyr4OC0TVvmXOdWdP4lc89h8YXNmvnyW7R3Df6sONqBV6kDvxXUxeOIdVgW4luH3hMnjCise8+GXiW48UyalPdhbeIkGPGUAH3c98n2q5HanSknOo4lWTK7FTDZ9uP51nHBQklbcypyqbNWLOq+N4vDEbXcpaKOUJhwMk/Q9q2NE+J8/icRWmkkPHHII5Cq7W298+1eGeN9Ot9bcO7ljDgGLJzg9OBxx3rndF0HXLEmfQhKq7sbVONw9c8Gt6eXxqJ2+IqFZ87UUz6s8R+NdWhX+y9KTzFk4JPDDb79ql8Oaxrt9ZzrDMqyp+8AcfeI9PavEvCutaylwi+IIZdkTHDFeefpwfxr2aw1bSE1hXljkMWzcHUAbPwrGpg+Vctlc3hU52ne3Q3rXxHrOlCOaS38zdkFsjOT149K6m41aW5slis7QNI44XHGf7xx0rxjWvEs3g7Xw7wvdRyuuzPTDH+Ed/evY4PGOneICbPQ5Cgi4uCqhXGOqcd6zdB8kXTWhvSXu27GckWqwW/wBs8Qq8TSZXy1BAA6Vg6pc2M1jLa6artJDGDG3GM56fWvR/Fviuy1e0ezEj2s8KBU8wbvNXHOTnjFed2Wr6JotklptE63XDEfMc/X0q4U+W7SIlDVpSv5nT+D7641uykh0iLEdsuJWfs2OOvWrOrX2tpNCukJHNhR5zk5C+4/GoZ/FUMUX2DRoVET4dtnBKr1z7eteNTeKrw661tphVIJnPmL149BWdSnzSSjoE1ypR5rI6y8tPEd9q0aXFwskcYLMiZB698cYroZfEvkxtptxATDhczKDtX2/pWrpOqpaJMk0Snyxtdg2M59ayNT8W6fBBNZ2TjzSAVjzgfnUzhFpcqCpGCjeEtTp/Dup6Re3VxaxkROsZYbhziqVzfGRZDpUDyKrKvmngEk9FrE0jXtMg0SS6ziaf7wI3H6bu1eTaB4w8XahdSWl0k3kI7bSeFGDwTUxoPmb6GCk4xUX1Pfh4gtL3/iWyxMbm3GJADg4Hb0rmZPiFpdzqElu7BVtvvKCRj2NcPf8AiCwmZ9CJZZblP30y/f3eoNYuk+Cr/XrV38VSmOFs5lQ84HTP4VrDCwnF62Hdc3uvU7q8+IHga/vI/NuT5luSyRq20Etxg46ge9Wp9Vt47RTLISFG/AOSR715U3wq8Fx6ojW2pRxxOAqmX5MsvfJNd3caD4f02xhiE7XDlw7bG3ocfSuj6tRjy+83+gTm72Zq2PjO38S266fJE6SI+IyVBP611eqfDeK7SPU9WnCE/KYs9/1rgbXT5NRuF8qRIdpOwYwyAdT75rt7LxJDABp1myXBDbHldD83tnPWn7GMfei7hBpr31c4+SXSdK1WOG2kSGNgSQFx931+tcPca3omu3n2XyTD5Ny4MvTPv+NewXQ0mO7E+rWazAnJ3cBDUstroGraotvb2UbQFQxI7k+3XNNJJ83Ubouckr2ObfUj4fQJpTRS2cuFKsMsWPpVPUNQkv7KZPN2hxjb7L6V0B8JaleeIjDogjhtgwdvM+ULjuM/yrTg097Yy2l1+8g3Nkvwfcj0BrCNNJObYRoVdYtaHhraTJrmlLa6GUSdH2sWXcGX3z/Oum0+6m0iYQ34QlIzuBBZsgduK9BjtvDlpbSX8tyUtY+GjQYOP7x9qxtPvnjXOlzR3UNwfnMg5K+3rxTipa3Wn4mccNyT5mtP0INJuvD99A1zcKY2frvPb2ql4j1LRbq6+zQysAw2x7T1Pqa8o8b+KtNvbmazKG0jt3KRkL8zY9+1YvhK6vzqSC5m3xykBIiMHb65rBYSSvUb93sKVOUbxVmj3jQ7K2tAoLP8mSX61h65FJrUxls32lDtII6/X3ro9Ljjt9dc6pOkNskYOxu9cX4k8T2UNwLbQRkd5M8v/wDWrO0udOOoKlFw0+ZWg0QTTRxSqWKhvMbOVx+PSnajoGn3tvst5lRljBjDcCuat9U1ZJ5VmjKJLtyOxxXSG3SaWOC95jkHybPmx+PYV0J1I3u9Tj5WnY7Hw2NP1DQHdLjzWi+VpCMHP07Vev8AVIrjTbfSHQyzo2eg5XGBzXLHR30kSeTMrQ3gzHz1ZBjn8a8m8RS+MobuK3+1Jarn5yvXb7GoVNvW508yUVf5ntstta6YFF2Y4zLxGBnIB9z3rqpobA6QgkvWVEJ8w7l4Hb/IrwlL/wAQeIdOgtsb0SRXEpXd86HjOa1Le6sYL+TS9c23E91gBfubSOSQBSbctb/hqbOMXFTWx2WtP4UvPDUkz3J8i2lCkIpUP3wOmfwrgfCen6N9vjn0yN4reRnyCuD7YBGfrmtXWNO/tq0k0/QJo8xzLI8chwECj+E1maR4Y8Q2+ojWr3UViS0yRGPm3g8Dr/Ot07ddkXKCnNOa0NbWvBeg3yLNqDsGE43rEdrM3uT0FdWPBvh7xRYW9reInkwlhhvvLt6fWuL1Ce5vmiuIIcvO4BAJKl+zZ61s2qXliwBkYSvleMdfxqXOXKm3qYThG94x0Ot07wJ4Z+xyQMiiTd8hUbcr6+30q7pMWj6VC9hJtlY5UocNx24rkrjxNaaPEllqe9b2FCp24Kgev1rC8NGA3SXVkxaK4dydxycjknNZTUpO8mRJQUly/M9QtFvWmXQ1gEVmjcbzjP4Vit4enlV50sgQHYKu7eeD1Ix0PapNVv7S3sJb28fzsKQuCc49a1NZaLT/AAxaanb7k80Z6kgdOvfmtcMnqrnVLkqKye33lrT9DtpLP7VNBHDPEcEt1x6qKzPsFjrUzeVdP50edx3EEDtz1/CuL0rxfB4m1drCYuixqWZhwARVbxF4jsPBkc2oWC73mGGyp4Ud8+9Yypz7mdRKMdZaHoVoySbI1/fpA4VlYdfqe4rt72awaFYbaNEEnyggDaSP4fbFfJHh346aZdO9xZylg+V9ix9K6PXfiTeCeyP2dHVG3LErD5mI5JojRaVlfU0hWpRh8WrPUb7ydMv0mkjN4JGwcHAQHrXY3mvaNZRpJcMqpCoZADx6c181/ETxR4rsGgj0ZFMV1gKyHcUJ9xVTRNL1afUlPiC98pbeISMGXesmP4c5FbRw0lC7MUpLRan0ffeJJrcxvfQ/a5pv9WvG1AeldVf32n2WlRaLqC5nuBuljPZumPavKtO0mTXvEK3drdGMRIGEQOFJUZH0qS50nWbm3m8QeIpQbm5mDhlfkL0wPUVzRg7qNzamnGN07mlpuqXOk6sm5lTLEBAP4R05rN1n4zS6LqP2a4icsgJZwMjHvXCPD4okW4uE3LDDyA4+bGeoPXmpdTuzeP8A2DewDfKvD49u5rpjSSlq9H2FFqMLfidTp3xH0nx9dqkcGIurPngfXjj6V2U2orYaz/Z2rbXtoYw6PnlQw9e9ePeG/D1pZ2U0GihY3QlWwfkZ/f2qaGbWdUnlt9YtwkjL5asCSAF7n2PairRTaVPYwm7rzfY9Jg8QWOuwp5a7oY26qcEsDxXV6fqkfh2Xz3jch/nGRwGPavCvDOlQ2bSXd1OIVgDMmerAcn2q1e/FXUdRtltdI8yUqMjbjP0Paq+qLmSbNozimnJ7Hres+J4dRt2jcLIWOQBwB9aw9S8e209sun6dEXhTHmSDAAI6elfO95qvjHUnlu7a3NqJRsabPA29flznNc/9n8cXWkJfaFI08QfaRjaCScE81pLBIUqjd3bQ9yk157a4a9dGMLnKhuT+lXbb4iXGmwyT3MhCsOFPOBXklgnjNdUTT9TdIkQjLuwwV78132o+HJp3SPdG1ux3b4xuyD247VTwzX2SJJ8llGyN+5+IomUXtvGoLYHzHJP4V0PiHRdWvYNOhedA5Vmba25PXg/zrw7xD4X8QMqf2EQCTgsU4UDvXdaXBqGoeXpmozBZ4QMEPtWPPrj1peya1UTKDne6RcWY6fr8Wn3XlHzSACuMDn1rr/E9pcwqE06ZWlLbThsrisCTw/rsuqtLp6RSrZqQZFO4MeuBxyTVaTR9b8X3cNwYZLZYgEnVuMepPvU+ym2m9DtU+aLutDUXUr8RWrG2S2a2kO+VWLeZgYwc1xVrHY6fqLtqMpea4diTHkjB6da9TZfDGhEwwyyebHGMFuVY+h9qxbfWk1ZDbadEr7STKhwOD357V1U6MnsiZNyWi3Obh07S7Tbdtdght21JAdyketS23iAyaRHJlpLlc/IDkYz/AIVd1WxtNRhNtejyUGcHow9ea4zSV0jR5dsjNtU/KVO386p4Kdm5bII0J8tjrPhn9t1v4kaZqkNp5MsepWeXYcMvnpn8cV/d34T+6n4V/En8OkGq+K9IEMwCx39o2FGN2JkNf22+EgNie+K+74RjFQq8q/l/Uxxsk+Wx7lpXKDNdXD/SuU0s/IK6qGvsDgLFFFFAH//Q/v0k+7msK/5Umt2T7tYN+PlIoA8h8Uf6thX8gP8AwVPuLtf20NcjjmaNV0zTDweMlZK/r98T/cbHpX8if/BVVnf9r3VorTa7jT9PMileQuxsEGvleL7fUo/4l+UjSkrux8Y+GdYv4QqQJ5oxy7f0Fa0fjuTT9QaKV5Imi/uKT19Mda8jXxPo2h2L6lp0rzSxELtBJA3cHI7VFHr7Xt+tzaSMr9TuHAr8yhFzqSctjv5n3+R2nifX/Eur6nDfW93M9u44XlQPYg81p2lx/Z1wNTvIzLPGM7Tz8orJl1u3OXLKZsbifvKcelcPB42ubbU5kz5zzIQmegz2ppzi3CMdvxMZ1OWfMtT2HTfGujahZ3X9qDyJndigXgY7CuO1bVtStpd+lZCkZ65FeJQ+LDqepXB1iNraO2BBCDGSD1rOb4jR2+qKqSMEPEQbpmuqlOTk1a/kOGYOUeWT6ntuozXeoXgOoSN++UDP8XH6VwfinQpbKFL7S7vEoI6nDY98VBeePft0MUNteqGX7q44BPWsS68c/YrpNF1ECVj1Zedpr0cLXqyv7tkhvEub1Oy8O6ZqmqWpub2Z9sR37QcbsV3nh7WtouNPmLtEBuYYywB7V8+6h4uv9NZYpEd0kkGGj+7sPr3zW7p/ixbXOrWcaBfuzRqTuCjvz3NZYlTa5jP29pWb1PonT9UkXemnHyj/AMsiwz9c1Dd6TetGLq/nRpJeVQnmvFPDXxL0vVt+nW9ykLkk5n4x+VWdc8QuxMtlP5zQIeFOVA9QetYVKdRuKSt3NIzbV7noEz6e1m+ialIsbzP8oLZIJ/lXmfiOybTLiPTmcsn99eePrWTo3iSP+yLi71QBouXJA3SA/jXTafLoXiO/W0imIt3QYaT5SDj0ropznHfY6PaKpFaal7Rb6LTLSVZTlsYUZyee5q5ot7rk86TgrNEG2nHBPsKz7zw1c6PC62hL7gfMEijI9NvtSQpBYC1ktJfJDoA5L5G72HesZVYJX6MlK2r6Hdytp3h+6W4vpTDHISdoIJBNcZ4g1fy3hubV3lJBwf6VnSWdvrUwkJYqjEtI3Tj3rVn1fQltgyLlkGXz0JHetI8uiY9JeRb0XULq8t/9MhJYnAXjA967O41vTvDFgbzVHjjkkGEaUAHj+7jj868+s/FGhSW73gKoi/eIOP8AvoelF8PDnxH04W93cQt5RGwydDz9eawrYS9rvTqbR5VtqzodO+LlpbwrYarbhY5lKiaTB3Z9KifUdAtonubK1SeM8yBgMkHuK5nWvAnh0zWkOowMxt02/wCjnCFc5z359KwdL8Gkb7TTJ3iVpGMZkfcw59R/KreChfmpy0MK0edpS17HsUtx4W1BLe70hWhlPzMpznI/ujpiofEWt2zX8cOp7kZUBCkYyPrU9npHiLQJVubofaEkQhDIpJz2OfauzuBbOto2r2yPP3KjBAx6np+NcrpJTVyZ0lbleh5taavpmm2bXF9c7WaRVQKSBgn1712EfjWLR9Va0kuRCrQB1JXK4J6ip9Q0fw5eWq2kSpJCpzulUk+pIx6VxHiHTPAsd7Fcrc75YECA5yOPQf41osNTcWjSdJQUeS2h0Hh/40eH9WuZbGxAeeMnAPR8dT74/SoIfFeneI9Zdnt5IZc4LuPkPuBXmOreHdHiuLSbQd5kXcVdQFGG+9z0qlrWp6tpk6ppL+XtGXcjjHoav6jGDTgzO80ve1O38c67Y6JcFbKyhcOBuIGG3due+aztO0zVb/SkvL+NbaSZ8qqnO2M+v+FUdG1O9k0xNa1bcizn5dqBj8h7jB69q2LrWEvYCIkaUzHCSMQArfhQ5ySVNOz/ADJjKMr30LFzHq1k32WN2kiXBcg4U+lXpbLSbfSpfEGoJucjYqqMkd8H1rkNF1LSBrkVpc6hNNdu2RE20Rpt/nn3rtvF0s188llKHS3H7zdwMt0wNvaitSvotynGHI+pbtdKTxDHHrF0/mRlCgjkYYQ9FNMstJuvD032bT5IIp3OC0cZUs3qck81xsttef8ACPRWGnahiQSAyYGWUZ4/yak8QahrVpDFZwXbtGqg5ZFy79/m61zqnVT5bq2wnz2EvbCOBZtdvZHeWJXLM+drEdgK3vhxquj6kRe4WVSodkwSyE9hWBDFretrHexRGS1f5HVuAc8Yx710vgr/AIRdLybRLW3aCWEkFEJzx2zVOirWb0/IVODck1oeheIorGCztrhdmy46qBnvjJx0HtXlGo6Ba6lrhsdDtJVDqPMf+AH+8O/Ndn4hlurDUglmC1vjEa4zuY9AfxrtRqe7Q5ZXC6dPHGoZlGefSsZUvZWmndbf8Odqouo3Hsec30d14c0hrNpdzFgXdeNyAc9ayjqel37CPV8orphJI8FsAevSp9QttW1rTfsuqTowlPlAqvJ3eprXtdF8NQXUSWoXZbRhWJOV3gY5z70RhFT3+4zUVKS6WOQjm0uK2htbRTiHkLIcBseveug0228Pi8i1CSHO9X+aNzsVh0BGecmsCz0h9Xu729mYMsMpQqFGEXGeayNS1zSdGvRpuzbGCuyToGJ9K0V3zQg73JvLmcopWOwvNF/tmym1C0HkXSDBJHOB6ViWHiXXrDTp7O9jnYxYjjMSgkhu+D2FdUut6XqNl9rVzEsBMcqyMQSR6H0riYPHMlvd/wCjwGYO4jVgxOQ3FKnzSi/d20NKlJJKcdzOt9P8Q6ioupWzKrfJHMoAx6nj+Vd/p2k3Frp1zcXNzG0xbciqPlXA9PSuGv8AxLfXmpfYILSV1BOWU5ZGHr6Cuh0HWbG4thFqEkiXB/d7VjAVgexPYVk+dq9rfizmpQUpvn+XqXf+EZ1q/wBJGr6XMhdWO0qxAzn5vc1v6Y8oSCHVkTzjLgvEQoHHU571W1LVYNO0oWugRCMR8tGTnBPUhj+dee+INRup9GXUNMZZlBxI23IB9Pce9VKc5KyVlfsdcaapWdvU9m1C90d7L7RPMl4kefMAbBIHcf7tcHda74Ot9IaXRbiWJrqQhChy+euOeleBaZqUEBhgnMvlXBIbYNwyT+lS3urQeHL9bdbcBlcsrP1KHocdq66dBt3ktzCVaLlzcl/I901XxtdeHdEN1b213Ocho8YJLds57V5Rqvjf4h69p0t1CvyAZ7qUz1HPWu08C2Hi7xFqH2ndI9vvBPncJj2HNO8Y6Vf69qgi0mPzLW3LCQxuY1DL649xVclO9uXUKlXmhemmrd+p4hp/xK8T6JD9hvY2uEPD/KSNvv7V65ay3N7plu0UrRsoZlUYUANzWh4W064uLNJLtUYTyhSNgYlcevpWjqXhOMN5n2rLIGAjCAcH1Ga568k3aKt+Rx80m0op/M469i069iXUNZhjn+znZv5yxH+7wacuhXXh65hn8J2yyJcDcJW3Fl/2cH1+lZhS9t8afdkSWyOTtTEX6itiLxhPp908EVvLGThk8xizED0FdFSDULPU0qV+WNpowfGml+KNRkjunu/IZcbwPu/Q55rJk1G4vZBp8yIJ4PlM3IJ/3R6V32meK/7Y1QX2tWzJGoKr8u4EjjkHiteLQYr6ITeQDN90MR0B7Vy8s7LmVjhnKVS+u5z0KLbaOtxcKzEnBk64+ldLp3iGW/slmtwZVsh5aAjkY+g6e9Zo0HXpoZ9MsovNUfNtVuExyevrXHWur3+g38X29miQkIqKoGR6Z70TovRN6mklyPVf8Oa3iPxJqulauqMHjE7J5UWMrj+Ik0XUtnrGpGG5mzGR8xl5Kn/ZxXS2Ey+IL0DUIWW1VSQcbiCPc1zmq6L4OubwxI86yyKFDEYUt6cH9a29lBWaWtjp5YtRbPQNIntk0qYjZdSMMgL90geuOlZXjA+BNNtItQkfz9QaJWYKcpHxwqgchvUmuz+Er6b4V19dSBjmj+zyobeRcrvPQn1NVfEnwj8Er4ifVNM1hrq71NRNcQ7FEKFudqnsQa4acVKq4qPLHe9932/U3lKUaaVOK31PmeHxf4gs9E1LW7G2aO/mPkwwkEs0bDlsDpXH+FfGfxB1XUYrbWSUA+ViOVAHbHr619bavdp4VtisNkl7v4kkwMqOnBrDOteA7jwuYVRY73ezLtHXPXJrqpxglKKj8znXM1d9LkcGv6bdXFraQTBZ4MCRY1yMZ5B/xr1i68OeHNUi86WdllRVZSFI5bsDXynbafP50+vQ25gSJ/3ByQ0jdsgds+te2al4lu3sLJrCKU3EyhWVgMKQPmxj+tYOjZJ+ty4zjKDlJalq/wDDek2GuqNTtZtRluB8yK2wJn3wc/Wqh0uFJRa6XvsQrERo77jk+/HHpVW5uY9N1KK+cGY7Cfmcg47960H8f2mqXkPlRpbSJkLv5OcdsZrojGKgoxRnCcV7rRwPxG0vxJpdusFrI8zrw4jXcQfp61z58R669ottqOotKjoqGPGwrt/vDNd7Y+JNRm12czxFyrbtz8bwO9aerS22uQrfWOn/AL1G/eMAMKPp3zRF04x5nEI2TbRh+DbbdfI0VlIkhkVmkeQlWTufpW34ujzdy2+pKssZ5UD5Vwen1rppb21uIreT7NLb3Ma7IgBgFT1P51dm0WTXInmmYtMQEKuVwMfSphaU+ZI15ZSTStdnN23hPSdb8LJd2GnWtjLpxCttUDfu59OvpXlw03Q9RkntboNFPk7McbT7GvXtZink0lNBldIJbeRQqRn/AFldnF4asHs7ZriE7lxvVl4Hvmt1G7bl02NJ0VaJ5Ro8Op6jp76fbWn2i4t/uIw2hUHX6kitFdAt9YsZLTxDb3dl50W23FuFbbL2LZOcV7nFDpEaGaW2HmSYCeV/rCBxyK5C4iuLfxAs8EAjVm8sHOMH3B70lT1bRtTg2k7akFp4eudJ8Mt4vEIkkK+TsbcAoT5d3y9z1OeK4DT9U8Q6pZSwqoMUAKI7HGR6nNfXTa2luw0S0JjtRECR2LsPm/WvCda0eyuIv7OtUYMqNvdeVP1rClSVSLc1q3p8hVKLWvQ89sv+JFHEsgaeV23yjdldh6d/Wmya7LNqaX/kqsSRSKSRwMiudvtQ03w5L5wuNzD928KDkqOmfau/8I6oV8FaveahZxeQ+w4n/wBYOuAoPIz+tbxoqF1Y5+W7UEfM11eeNjetb6HL5KzKSpzxivQfDGreK9GtpPtoiZlA3EH72fxrKuvEwsIlka2Nu0vKxmPe23+taUepWV/arf2UMjRg4k3R7efTH1rqlTpyjzRWpmmnrHobVxaa1JfC4uI828wwylxtUH0FdXovhq0hnNnZKIbZVJ3L1c/Wsiz0bWrXVRNeXUbW8qf6onJPHGPpU9vD9kutgu2Lj7qL/IVyOO1t2Zezu1ppc1HEcgkhgy0oO2NWOckHvWt4r87T7qc6WqxxBI8QxnC5I5rkNUPlXCmSUB3OCPusvvxTvFOofbjaRySKYm4cqSGO3pTUVskdNODjF6Fm2v8ASI9LhW8EZu0I/dsQx29/rXo2la/4Ue1NxFIFkXh0AwFX2FfPus2IuNShm09P3ciHY2eR9a7qO61TRtIFtPDErSRY8xOSwrenBpe6zTD897dDu9a8aaJppjtdHKgS9c8sT9D0FctL4hOqWxt7mTymU53BQB+JHWvKoHmiu5XvJo2mK5QAEt/LFd7YtOYlsIxGXl5JPfvz9KXMo6S3NJSvK0tD0PSb3TvsG7TtwnLruA9fU12LS6nZRNcSS+YzcMyYwAfrXkUFhLbXiSadeFFjBEin7vNXrTUdP1q5l025uSvlyb/LU/fx/Ssq0drBKnrpsdbqFnpqQi+u5SPO+QBhknNUB4b0i4bztPKxTqASQCePXiteDUNMksHe7XzHtm3RqRnaB0Aqj4d8a6NHcXNtp8YErLudmUkLk9sd60VVpX2RvCkotSmc1rFxrOkWsd7dRJcNuKqjdGA+tZJ00+I9K8q1jUN18s/I2fqetdt4kmt72SzjkiLAOWQ9VBI5Nc9f/bbaGG5K/vMtg9sCmm5K5FRNSfKzsvhRaXuneMtFgu0NuY761Byc9Zkr+4Lwl/q19sV/DF4P+I3n+NNB0YvGXi1KyV2bG5t9xGBz7V/c94SzsTHtX2vCcrqsv8P6nBjeX3eVnuWlfcFdXCc/lXKaVyg+ldXD/SvrzgJ6KKKAP//R/v0k+7WDf/dNb0n3awr/ABtJoA8f8UYKMPav47f+CtOuWOl/tm6nHDu+0HTdP8wdtpRwuPXvX9iXif8A1bV/I3/wVC0G31f9szWDbIHuRp2nbtw4ChHx/WvmeK6SqYNJ7cy/JmlODm+VH5Fy+G5YZbuOC6+zfbcSDd935Oa6XwxZzy6E02r3yQrHwCoyzH3rZ1f4b6tqN5c3pKm3lIMKb+QB14rnr7TpPCD2scsLMspAZXHqcZ5r4HDYZxhZ6tmlLDzptqUTs/D2lwv5mseb9ojSJk8ofL8x6cVx/i24MNhFci18qRCP9Vwa7RpLSxje408PKsikEAbVVj7+nvXCH46WvhZmtp9Lhvdnys2RIePwrCp7d1X7Onz/AID6pbHIXnjS0i097a9lhlaUY7LIPYnOT9K8Y8Way1nZM8UCtt5EgG4rn3HSvQfF3w08P/EHxCnjDQpfLkdQ72e7y8Z54P8A9asHSvDUttu0fUo4ywJ3Ks4cOvYfUV6VHAUk+fm97qn0J+q3m+Z3PK9C8U2klyZ7iQlB/CfWu+t/EWnXMmdIjkku2G/aemB1x/hWtrPwwtrqVJNFs/ID8AH7xHfI4xXceE/hRNZXAfUB5aR/KjpJzz7V3ynRjDn/AAGoOLstjjLTxbqlwm20j8qaM5ZZUIOfUZxXa6DY6vdW7apIoWSRjwx6/hXX/wDCBPfastmJPtXOM7sstejp4DbQPENtfybZowoULMcISBzyeK4quJo2VrXZrChOfofOV7plhNeKIrF4pEYCUqMo2T7V2d/BqHhm4C2ESvBMuRnofzr6Y1XSfDNpbrZWtwsBmIJ2DAB749a4Dxh4OOvRfY4Z41MI/dlmG1gPWueNdStybHVHCKHMpHkGlyi3kA1edUEj7vKUgnB7VoeMJ20e2SPSgHnnxtU8YFb0fh3w1p9tbtqcUMV3A+fNjI2kj2rnfGETa9MiuQGXkOrgnC+hqauIbnyxWnfoc3vJ8qQum+LPFLi80uK3zHAQr7slgxGRWdfXWq620K3Hm2sowirgbS3rXS+Ebhr27k/sWbErDzppJBwwTj+VW/FXi5NbhfQ9HtICUXebgp+839CAc8VwTb9pyNWTJqWslU3POrqyuEtp4EknLxjOVPyEn15pnhbxD4vs7M6S9iGWSNiu/JwPrzWgt94pstOVFt4xYnPmMVzuI9efWui8Gaj4i1DZJpo+w2sYKnj5SD3x1NejGceXlte3UuLTdo9C/oPg671OBb7VYRCsw8vOcLgc/wCeK62w8I2GjHZbFbieUFo+MKAvXj2qxLPcSI76lOs8SdJIjgjHqO1ZmqfE/ToNPkks5Y/tUY2qcYIHTj696mtWUPdk/kW6lKG7EuV0mKATXV5JFLJ+82E4Vvfrx+FdbZ6nPcWls16q20RJ2uqDDbe+eteLW+rNrdqkkcsc128eNq8KpPfPb8a0LKRzeNob3n2lmRSMHhCOWrGrVdmo9CfrF7qMTpNX8dXviHxGIIdQlW26BU+6D7Gul361eyrbRSGREABIYkuP615SklpJqJttAiLuFOzI+bHc/nXpFr/bFvbWt5cN5L5wVcZOR3GPWk6yUFb/ACKjJu12dlqB1m18u1tlwYsIzMcK2727Y7154vwyvbnVZfEV3d4RWwQn3D7Cuu8ReKbnW7GMTx/Y3hQs0oOC4XuR3/CvErnxtri3IFjBLc2UvyyNnHHqAaqhWlfli/W/+ZpUq0/aWbuj6HtdKNtBHp0DLKmclSeVPatxtD0P+zbhdStxc+ZneiHe2P8Ad7CvkOL4gXMVzJZMyxxsCokbcWUnp07DvXq3w+8R2NveKxu0unVAGAJAZvXmtK9Kotb3S7FRqRcrRPUroane3vmWto0NskRQLENvGMcgeneuJl0LTFeHJYCECR/mwpPqvrXX6hfpYWy30twSZA68gjhu1ZvhX+zDpF5bu5XCkHpkD8ecfSuF1+WLcdya0YufL1Ocu9B8PzXUGqaDBFJ5+QfM5wRwTjtVTUr86fcfYrsgbz5aBX+UH1r0Hw7Y2t5cPK0yW1sFKxoo5BPfn3615brngTxDfavI8C+fbqSplY459VA7V24aXtNHIyUW1dbG/wCCtMgbV2gjuwUk5aInBz7n+VdXq0FnpBd7t1aOOUny2GSF9fr71Q8JaFY+EnF34i+VXGVDHBOO/rxW34kuF8V2f9k6UkSpKM734yvsfWsKrg6nIpbdToShyNrRnOQeOtBtrd7CzumVSrMFx0YdD+FcvP4sl0S5gvokjW8/1of+Ngw+8R1Oabd+HtMM62FnCsKKRuZDuBYevU11WoW9rZxxyrChZECgON2D/eGOefShwpylZO6Youco32sbXhnUdc1qwiu7dmzICf3o24PsT1ru9T10zWcenXc0aSONj4GWbYM9M/rXA3Z1Kw0GCC0k8y4ndXmPbaOoGOnHpWbHam21OSSW7dt8YKhApCE+pPes6tNX917HoUp+zT13J9b8QWWmaEFtpQ5zycZx9R2NcppE8Gt6VJBcTOseS6gfLnHJqWG20H7Qqak+IyCGBOWI+g4zWnY6ZoUd5FZWECxpLuKlWO8j6E4pS0i73OCbb0toaXhbVNDRzbWMjok434bjcemea2ZPClw1758h83JDBmHMf/6657RLK9l12aK305rexhPlyXGM7segb+lbZ8WaxrWrNpOmR+Vbx/6x26gL/jSoqSfNT6lRh7nvbGtq2haXcQS2GqXQtgV8x3X7xU9Mnt9K5PTfDsGj3Fxqmm3LM6oUAPTaw5NczfXuqaXrEtzdEujsVRmGQU7YHPP1ro7aWe/mEl67CGTjcQAcd+Bxiu33oq6lo9zeU42+E07e3sIljuXunRAATAvAdj1Ld8Vow28Ot6uLaGJPL6EjjA9T6VWggfXY307QIwZUbYrnG7C9cdulSPpOl6DfRqt20kjj/UqRkP6Ejt+NYKKgttzJRvdJaEWq/D6aC9aH7QLx2/5d1bCAHoc9/esnVtJj0DSV0bRcLNJLmVAdy5xyB6D61tX15eXeq+dpcRjktwN4Lcc9azJJrVpvt83mSyrLvBXAUN6t6iiMEkm3f0NFJrSxC2lR2dqFu7aK1Rl3NGO5HerWm+HvD/iiGa6nijQWyLmbIBIHQZPSp4LfRpJxql6XuUkjkRITngt7/WsHxXpuo6R4QghZFt1lkbZCmSWXHGcc/nSq1pp+5uTJJrmj0On1XxP4f0OKK00S4ZJ+FJkOPk7/ADdK8+bVrmPUZJowjRuCJZA2Q2enSuIsPB+sa7Z3EfiIyQ20UTTRSY+YbexHXB/OvIfCWo6tb+KU0y8hlkstzKHH3SP511Qoya5pNXOZzk4pyVj26fWJtChEOjyQzOrZZQD+nNdT4N1W08bX5tdXeG3do3xtOMkDoRmvKNc8AtfX7T6I7QmJ9wCnt7k1vaL4be2ubbVoplCpIqylSOeefesJx5U3LsYLEPt6nTeJfCUFs0UbCOVQ3JVSOP8AezjFRS6c2ran5l9IsHmxnZJH1AXinXF19l1+4W38ySKSdjFGxyCf6DFY2qa0tx4jSVNtmrDCoeh9QfTNVSquUU5dippSbR6BpmiaxJKxvZi8GwKCRlyF6Hj1rGvIfFIJ1fSmaG4YbI1IyCv07VuW9lq2kWA1C9fzVYkja2CAegAzkius8BrJdan9s1+6jSMDNumDuPv+HvTjaSamKFJSlyo82n0TxppmklbW8SXULjl4w3ylT1+hxWrpuk2l3pRtPEVqs0kCboyp5B/un2r2aSx0oagYGP32Jd2XCjPTkc81yVzdafp3iGV3iDBG8vKghSOuMnisKsKfxWsX7L2TfZ9ySx02W40UaasDifBKhX2Er78cgCudHw3t4447lJhvL7nbP3R/dq1qXiC6tNT/ALYmK2zsRGULcsrcfLz6dafYa9ZT3M8KxiNQ5TBbKgetKFWbm0thU6il8UTutfs9Nh0uCOWBLfUguZZ4vukDoCPUivm+81zX77xAmk2mY8Md2ELAr25Fe0XurXM11Pa3myPAEglY5Vgg6YFY2q+OrXw5PbC5VZGugHRlVcYb8M/nWEYQhKyv6X/rQ66vLKm6j2uZWjQmfTZY7u6V44hhgvJ/EVm2WjeGdIkN75qOB8/TEa59ff2rZ1QtY3EWptmETcAxLkMD68YrqdM02PVYS8siy2q8yYQAjPYjFP2rU2lsc1OKnpbboeUT+L21qKTTNAsmn89wrTRcbz0yOOldF4Xl+yalNezS70sYwr2+cgMeMkeue/euj/4V1qE8iaPosiWcVy3nOwOGDLwBnt+FasXhHX9A1FtsaSQuoSQrgySY9f51rUnzWi9gjQqp2s7HkktxJrou9GMIu5jKJorhF4WNRyg9iaztC8H3drqRW7fy0b5gWXcVJ/2s/kO1eu6po76dNHYW0C2lk5zLKrAuz+wB4H1xVKCxj0YTTRzNcXFx8kPnsMqB6Y4/OiNRR06Eeza3eqOSijmgkcXjuDEdrBk3vz29xWzLqGh+G7oSaTcTSvcoNwlGwIRycL6V22j3ayaY3h6e0WfVADIWfqwXvn2rX1fw14c8Q6hYtqKxRXhQI8XOCAOpIorcsqbhDQc6LlC0Nzy+fxRB4l0xH0GctNZcqrHB2Dkj3PtTLTxBBdQx2qxPbTs29nJ6luuR2rtbLwPpPh3URpVtG0kFp0EeAFY8gMTzVvxDYadBqazQWqLujVmkzggn15q8OoK3crldtd+pNc29hGLe8igLyKOWZMLu7HdXTeFtXgvNPvp9UdpWjJVowfkKj0P/ANauXubnxTpflG0aM24H7yNiDlT/APWrjbzUoL3UXOigElfnQAhfxPT8aznVkpu2wvaxvax1B1+W51B9Z0sGF2ym3OSp6DFdLpmp38ZheK1MtzGAZ5J/ub/XBzzWBonh/S9NlgOoXhuJ5s5jX7mT93cOvHtXnPxMg8TjxP8A2JM7PAsJDeUeAc9QOv51Sqc7jbc0VZxhdLc941Lx74VeO/tUuEF2kaF2b5Y0z6NXn83iiO48OZtpRIxO1fK+82fy4rx/xBoUM+mRWclwFYgbygOEA6ZHXPrVa0vn1GCW20yV4JbBd7XEgw0m0Z2g4AyelbyopJcr2HLESWkj2bUdG0I6Tb3/ANmWW72gYH3mbH3T9KyNMvIdX8M3drelk8t1ypXqc8D8K4jw3r3iHVtE8u+nkSTzDNGCRu5FenaXe6npGmeRejyt+S7bcGTPT8qucrvzJ51J3ieOXmpXLa++jXNpuA+bceqoOuDXpGnaXbLbG71mRY7OMBsSfLlfbb1rKRbHVNSeXUZBFHG3zBiMyfh3pdVudS8VM9hbQRxRwDbBg7AcdM59qLN6PQVKnq7rVnR6pqHhvU0uNOsZT/ZyBOnXnrz1x+NeVarovhW2jOo+HXmJtHEmxDkfLz1J6V3HhjTBYQS213GqoAVLBgVJbg8e1ZGpeEJtMsn/ALLnV4Q2yUQuELK3Xr7Uox5G7MupBJe6efnxXpviTCSO8R3FnVhxj1zWVP4kutW1CPw1oLFYrbLGaTtn6dq9Am8MaHpuk/Z7eF2MnzsWOSqHuDjmuAbRobMPHpEnlyP97c2GIPTmnKm7+4YzclpE2re5vr+Ng4KCMYVh0PvjrxTrfRvF2tWDTWExAifYHAIz+dXdI8LavAVtluYZnwQqoQrrn1bPNX9Z1Pxn4Xt49NM7SRqMBkXeCfQ47VKg7prVmtK32tDK0u+1OKJ9P1BYkYkoWjUjcR6571ymi6u8urNY3JcysxCjaW6fSuo07xJrEsctrPZeZLjeCy7Dk9wDXRaVYo8H9uxrJZy8rEFjK/N0Jb1HpVOjFXlLc5JQfNeEtQ1LX7uG3GmTuIHfG8qNu7HrU1hoMZDXmmuRJgtknsOtaKeAoTpNveavdefM77pT99uvHHUV9B2+naHpsltqECRvEYWQqybVO71HrSlOMWnKR30KcqkW5dEeN6SuoNDHeWU6GTIV97A/L3HvXRav4Xv7S2/tDTikUU4+fYmCWPJOe9eiR+H9MuNosYIIgv70BcEED+lZOu69ptn5eCZjE2dobCK306EURrq92dHtFOOsdjy3VNL1V9EMtvcyB4Pm5JANO1PWr9NPgZ0EnlD5ucDkfrXUf8JUl/qA8sIsrfdTbuT8ulaOkWOk3d6bSVCZJzghxhQR6USqJ3uKpNOO+v6HnfgfQNF8ReNtEUoQ8Gq6fKHUbWytxG3PqMiv7zvCeCi574r+H7StU0nTvFmk2enx+XK+qWCFkXd/y8Rj8K/uB8J8Kp+lfa8J25a1v7v6nlYyMY8qTue56XjYBXVQ1ymlY2Cuqh6/hX15xFiiiigD/9L+/ST7tYN/90it6T7tYN/900AeQ+J/uN9DX8k//BT37Va/tjavf2/T+zrAEqeR8jdR/Kv62PE4Gxq/k3/4KbK3/DW+uoYt4k0/T+VPzfKjcAV8/wASq+ES/vL8mdWDipTs+x8D2fi9hGsjovkwKU2uAGOe/tXT/b9COnw63c2kV8GTaAG3lSfWvFj5lrqCRLZuvmH50kzx9a+gPD/htNRjF1Ntt4oeBH0H/wBevz6pHki9dT2KcVJNN6nmOqeHtIuc3WlzG1e4OZU+8EB6naeK49vhToE0jarGqNnMfnnhS3qV6V6xr11pLa5LaQRZRYGjZm+VS3sRVbS0ltoI9P0gQyRTHa6bixBPXrXn0cROFTmXU5FTXtErXPP7L4X3dqAUhJg6mVF5/PsKit/hh4fggW40SAwyoWMjSfNyfTNdpeC3n8QyW+iXM9t5SAFZD+6LDgjqawdTutWEj/aiCYsbWiPDZ/Ku6nXlO7i7M74UY6qx4RrHhTxqdcDWF8Ykc5keRMcD0/Cu2g1G88Mqbm5ImSIbfMZeSfUr2FerWmhWkrJquo2s0jTg7BnoenIzVyLTLPw4ZZdWEcjTqUEUnO3d64pTxEHDlmzCWDjFc9zy3Stcl8TI97okQTYd0jxjBz65Hauo0LV9Q1O4kGsPHJDbDIGdxH1BrW/sZbyJI3igWBWxsiLIf0AqpL4S1DV42tdPmS2tjkHHt79ax9zeK1J5Z2ujMs9Rh8QatNpMcaeUAcOfbsprznxB4N8Q668kFnM0aQZCoGw2ew96xvCuj6jpOp3V2bjzYVkARhneDnHQ8cmvXLGa/wBR1OVLmJQw+UsG2sB3Yc4reNN0lGSVwo05yTUlqeU2Pw9voYY9P+1NNLI2XEq4w3cfh616NP4GsdAASHBuAhLtIvyKccADvmu8stc0eC5i8MxW76g6tv8APOAcnjGR6V3NjrdjbedPfq5WbCxuFB2leOc5rGpiJN8zTshyowirvc+Q9Kg8STW8sQia3kkbmNYQCfYdMCuEi0zxA2o3Fnaj7O4Y5WZtuT9a+0da1QW8sEl3IixhwCpADPk9iO1cPrfws0bxnc3F94cd7NzksynILdwM96SnSlL2snboZToe0aaPHf8AhYMdvYR+D7aCK7nTkkHKA9Tk9629M1m5uJJb7V4TCsUDJHHEMAE9OK7PwX8Jv+EaDBJ5rqSdvnaQJhMe4FavjS+0rRtSg8Pak8JLxlw8fJbB6VGLlGnZU0ROjKkue+/5nl/h8abrFlcOshjnGSAB8rH0avIIfDOryzXH7pcu3+sfnAHXAr1ifxb4R8HXwbS4kLk75TyVwf65612ui6uPFkzxwW6wtcIWRlxhgo549u9crqOU+dJ67XONUlKVk7y/A8VsfDFv4esH1awVrnzBskydg/Bec/Wuebwvrd8z6subWNceW0Z2Md3B4HWvq6TdptjCkSIzbQrsBxjv1qrpnjSGz1SL7NpysuSGlYZUfQV1c7SnNRuzaEKTl7y0POPBPwt8U2dwNXvNQkWLcEBCfMoP8xXsdxax6Zo6zzSbhBK586c8jPsc8egpdf1mW1juNSWdFhmO5HBAYLj0rwzxF8R9PvbsWWmRFZCiq03JV/qOxriqxrVVGSjZmvJSStHqjQg0jV/ELTXF5OJAz+Uq5wIw/p/Ouc8Y6bf6REui6bEVbb5XmuxABX+LPvXcWbW9vpgslbymk+dpCDw46Vz17dvLqixSgyIiAzMASjD1+ua6qS968rM5pQjCOr1PCNH8D6jdx3F1q12sEyH5QjZBXvxxXp/gu10jSYpbu62vbqgBdfvE+nsa9EufBlpd6daai4+zNchgcdAAccjqM9qzLzw/ZQeH5NJ01WQGQqdxGxvfPbNdEsQ5ytzadjCnGcJ3Zh+JPGt3eXUFjJ5gVWVYVIydrdTnvistdZMeqzXZkcRWpMZ5+/t9Petq5hsNGli+zzLLd7CSg6KF9z1rgdV1fTtTZonZI5pOcZ4we596XsNHym+JnOXvM9v0PxnaXWlDWJ3WJYTs24y+W4H596JfF8GuhWS7MARvLKo2NxHb2rwvWPEL+HvDaaZbBC12chiMj5a8/s9O1hY3vZ08oSNuUQg7TnuM5rSlh3BNvboQ67jbU+tPF2o6N4h0uO+t5nuJrRSkiuxC89MeleXQeOJNO0WWJNxaHkKx3Mo6YU+nvXJyeKHu4BY6eMvEuJpMYXPb8q9F8J2mmeIdJ+2aiyeY37g5HylV5/OvOrUpRfvLQ5J1Zzqe7odNoF/LrWgf2tpETRmF1IMfLOfQ+ta2j3urXniaG51RGtVzk7+DzWql9ocar4c0OV4ZmG5IwpUHb1yx4xXnNzbaw2py3N3I262YkR5yo9/pW8JpRb2/yPQ9vKMVJ/8AAPrGOy0K8shb286bgNvzNtKg+9c2PDMNpZTaQrLKm4uNnzMxP90968UtdY1G9a41KaMxi2XBk6Iwxn864keONTsZnl0eU3GSGb5squT0I9qwo1tGnq1qdP15NXZ9KWHhbTJdJknWER3CtlhIuHA96iuNfspLu20rR7BDe22d0jRDofevO/8AhL/FF628v9qmmXAWM/J5R67gOc5712XhvXtLvNPluri0e3mVHAJONrIOp479q5a2Nnd8y0exaxFOpZRajct+IfFmqz3UWjWbn7uGUHnd6Vn24sNH0iXxMru8kh2lF6EjiuV8B3KeMUddQfyZ2fYxJ5PvXZeP9Z0HTrP+zdMgFy8MZWMuwCoxHJb6nkVarRp8sf6ZXOkrSloefav4wv5ngupVWG1HJDfeJ/wqbRL+6Fp9vuJBJAG3BFPCqOoJ968S1mw1iO1iur+RVQjeWJyu89c/7Ndr8P5NVsLaaCKeKRLl12KqkKT03AEk8V6fNGlC9zkWJSa5rnvWgeM7We1kg06EJPIcful+faT/AFqbW/C1/p7TalYW6xgKSrSHble5C+ua43w9fT6DrP8Aa9+zGaIlSUI6DpxXT6/rdz4t00avLPKkqnLhPl+Uf3s9q8xzmql4y91HRTqKScGzA0NNSWV9QunUpKNpH8THp+lWIluLZtQ010DTRRmePLbsjONuPX2rnNO1AXt/I5lVY0AA2/MCfUAd/Wuv1GC2kSyu7K0PmxYWWUcebjua7KjVuZGsvcp8xiJ4n1nTfLi1SJBEo4aI5xn144xW5Z+LbHXZDNqZlzgRxGI4BVehz6nvVLUdf8IRXr6VfXMMsUgBZM88dRj2qPS7vw3f6qumBvLtVA8jHyJgdFweeBRGpGSU56M5Kam53v8AI65JD9hurkW9xK6Dy/wI/lXGalol3pdpBaJZiOW7O4PjhR16+prf8Y+MLTw/pobw+RHcbgkrJyv/ANevONW+IuuahaQ3F4z+U3y7k7Y9fTNQqk29tDpxValD3ZHqVt4Sk1O2MFyywRyJsDZ53Gk0n4P+HFumlmujENp+ToWI77u1eSW/jCaRhDblpVZc/L+8ZX9eK7GTUpls1bWr1/MCkhA2GA/z2rrk5/EpWM1UprW1zqdf0nRfDFnHdWWyfHy/MAD+Dda82uvsZuhLqVmokk5dGOcD+nFedap4qt1uWN0Gljj4dlzwg6Z9815V8RPjq1rqlvp+nvGw2/vVJBxjp+lYQo1Kr5I6HBKbleMdEfR3iLxpaC5gu76MMkQEVusfVdvrTde8aarqlxBFpjLE0C4kkj5Y9+fXivj/AFD4kf8ACS6d5UW2Nojxs+Y/pVLT9e8c27Pb6YPMBOGjPDbT3JNel9QdON47oueI5Xp2PtTWPH8umwx6e073M9woP7p8hgvOPbFeda5qvi2/mi1mK4mW1BAMBcsoPuK8y8H+FfEvmjVPEMTtGrF1RMyN64GOua9WtNI8f+JZpbrTNKu7PTy2QrRNnb/e6Vzc0IazsaLmlG7RzXiLxPeX9/BqUELNLFj5Cu4cd810Vv4hFrK3iHUwG81MeUj7UduvzAVj/wDCuNT0e/e5uwWc/eLnLMG7YrZvfCBaW2uYIo7uSBAEXupH8OenFKniqMkknoYRm7XeiZoaTfa3rOtx3k0SzrIRhUf5OOnHtTPiD/a+o6jB4X02xc3YkMhdOMA9FHrioNFguLG5XSZLplaRwZTGOI2z8ozXoWovo0FzBdw3DzSwvsdQfLZyvbcaqr70rxWiOn4qDitm0aNlZeI9N0K1sNbu2aS0U+bbj0POc9sCu88LWOvJINUkk8mKXgKPmynYsvcehrl7PW5rXVTrdlGUWUY2N80e3ofm6Z9K57VPiTZPd3FzEzxXFqvytuHPbAWuXEyjCzSuvQmU4wV76ntrQ3q3MzRH5E+aJ87uB1OO/NYcmoTy3J/s6aW6uduVKcDceo9sV8mj4p+IhrAntJytm52sWBACnrzXRat8RtL0KBbm5vY0ZzxGoYkqehyDxms6Tmpuo1e5McTJrmbuema1BrGp2zrfvJbTQttbb8pyecnHUDvWPZeGvEWs2zHSj5xgx+9Bycj0ryo/FqO5ZohdJKijaN3GM9xnriuj074r68RHp+k3Pk2x4cjHz5/Diuid2laOpirSerPZvDPiW/8AD+snS9flN2zoVDxJudB7NnpW40ur/bDqkEa3cEZ+RSdrMfQnnGK87s4tJWCCGWZ/tCjd5jfNkdwSK9ettRAiSexCy2yoFKIDjf3J71KjHl0OuFNqPu6WI9W1TV9cs1utLMSzSOplQSbdxHAJOOSBVAWY8uQa0JMSja5lGBxzwe9VtcXSrHSU6wYBKCL5QT7571yknjazjtDb3QeaSONWC/ec57cVzuq4aCm5Jtyep3V9pEGrhkZmCqBsKSEcAeneovLbwz4fmado9kwKYYbWC+5rhNT1mG0hh1+8J8tuQinBUirWl+J7DxDoc1lqULyNNOZYFXqCRwSTwKmNRz+HvqRCUbtp6k1tpviYeJLa6ikS8Xh/3Z2uoHI4Hauk1++05dfl1DU22TyqZf3bZIYdselcT4c8ZWnhnxabxxjYhVEHJ6c57VyWv6/ZXviBfEdhbFlbl4ywwRnlcZ6Gt1GTlppbqClpzdT1i60XS22Xk15ta7A2uEGOOcEZrnfE934e0/QNzHz5ImVXQfu8578V5lH4p0LUpLi+0uY6XKo2rbsdy5HXHXrXmdwdWezVHYi1Lb/mOSxB4Oa6oRd1G5sq0LWlqeux+KPD88sSWZETJgFVOSPqfWt6++Inii31O301Gjmhb7hlUMcd+teWeHoNHUzSq8c1wU3bZOvPpjitHxBqOlmaPUw6KwGFAPdRzW7wsYq6ehN7p8rse2i0ttS1Frm8SOabGUYfIq+2K1LbRLqPRbu7uArM5KRqG6Ef0r5+0v4jW8JR7yQRqvKu38RHr7V7hqGr2r+ELe9v5DG8j+ahyAGBHbHasJx2NsNFNtrsZFlp/ieDSGj1hfs8BJMb4wT68965NNcSyvorOI74Zfl37OADx/k1Be/ENYY8SXTPbpwUXB259M1oeHfEek3SrHZmKRSp+9wyn6GtoxvujDW9h2p3OpHU/KkPnWQXyg0fA4+lXtljqCjUBa7x9wLjP3fU13GmxXFxC9ikUb+YMqW6HP07Vy9nanT9QfT9Rdvs4yW2/dUn3+tc9Wsqb13M5ycHzMtJ4ea2sotZCrBvDDaW69uDVaTWXs4IrOYMZHXAG3IPuDW5bRT6z4N8pH/fac3yA9HVjk1y3jXU0/s63iSYRE2hlfaO4PQHFN1HKKcTunyWuuxu6T4nt9Fv/t11sG1Av71QwZh2yeldZfeNfDmqW2y3mEs79YwNqj6V8Z6hb+IZNlysheN0BRT6+9b2kalrGnRSiS2I1AKvljsc+v4Upx01Z5rxEtos+hYPETR3fkpaGR3I2gHAOPcVb8WfEcaPqNspjWNHUgxMd2K8VOt3OnXkdxJcxmYMo8oMeC3rWV8T7rVZPEDxXKoqjBfYc7TxwD71yySco99TelWqOlOKPoK9+OtjYaIVaBJNn7sMnykZ7HFeWv8AF2w8VQHR4ovsbF+XX5gf+Bdq+a47vXrSW6hTa0MoMgQ8sF9TxWjozWFuqavKrDjHHQtXZ7FTVm/n/wAOZLFSceQ+jbe68RWWtWMNtPDLA7hSUwzAep9BXYt4mkeCSFpQs1u7FVZtrntn15rxnQvEdoLR7e2t5JBc5XzjwFPtj0rzzU/F+pP4q/sXRVM6YAd2HzL/APWrlcJuoktkVUlGyktvU+yfA2r3U3xD0GKyj+/qVl5jEbhjz4+vp9a/u+8JcIo+lf57Pw98RTXPjjw3akkOmsacCVYgtm6i61/oTeEx8qivveDlJRrRl5f+3HLNOybZ7lpXKCurhGK5XS+IxXUw/wBK+0MyxRRRQB//0/79JPu1hX4yprdk+7WDf/dNAHkHifHltX8cX/BWfxgNK/bY1bTEdlkj0zTZQB/tLJ/hX9jvif7jfSv4fP8Agsz4D8Q6h+314j8W6aJ5o30PRYUjiZQoaITlidxHUOPyrwOIqUamGipS5feX5PQuHNf3WfIsfxLtdX1UxznazEHH09K9aXxvbzaaLm2BVYxsDKScsem73r5B06G2jVJ9RSURIMAtjcvr09698+H3jLwtJYS6HZoqvkF9/LEjvX5vjlOinZc3p+Z6kJTfVHceF/EFxf3L6Tq8TGKaTdIwxnHQt9K5HxVo/iLwtqzw+EJma3nkLKXPJQ10keqWcdlP5Fsshdsb1++AfQVxOtSa/PAIJBIIFXdGc/NgdPpXBRk/aaLfddzONVpe9ui1pWr6idVd9Wl8hvLCnHVSO9d3pPiDTrywk01phP5ZyzgHccnj8q4q5sr+60q21GyjEi8Ru0kZY5A5GOtHw61mG91ORtcjFpFASMxrgNjjpXbKfuysrWOqVeVr21fc9evHvdKtba4uLxmZ1Y7YOGX0znIrmPC2v3Vtqct1r8QInyyTTOpG7oB14z71ztr8SPAlvq0kfiJ5lD53rGCWwv3cY6ZrznWPGXg7XL94LGCR7NnGUyWYHtmuCjUnKs4Tg/W2mv6mMMRHn5pPVM+l5vF11bztC5t7hJUxtXkA/XOK4XVPCXiw6ul9pjGO1nUEojgAHqeKz7LXtDGmxz+G7MBoALYq3Knvk8da7HW4L1tAttXlDwPCxZmViFxj06YrtpxtU5pR8tf8j023JWT03MzSPC2pbZJnAu2fgcYII9akmFloVubbxZEu95FYRhCSFHYmuu8M6vrtsSIwJopAD58aBgMetYPiS4OuSyalJJHN5Tjcy/w+5HpV1atR1Fy/D5FSqxhSvG9/wNi21HR7NYbwW8cFu74jPcCq3jPXdKEIfTJRBE2PNI42+49c15V4kmjhiivIrpZ0D79vSP65ridL+Iui22oXVvPIMMo27gGCnvgGsKmFc/eTPLq4hzvC+56laQ+HtY3399cS3Edqp8pVPLt1A/OpI9fhg09pFhms1B34WbeQ3vwNv0ry6PxVb39q15YsGgjOWfG0g9hhfWnWnitr5JIdQijNvjzVbJDsf7uKKOHvFtp2QqVTlg0fRmkXF1q+g/2XazeQk4YrKTubPU/nXyZrnww8Q6zrj3WoTyRvbSCCKGMYco3Jbr90d6+ivBaa34i0+Sx0GEzShQyopAIHX1q5pniO1tbe7tdatm+1ujEyMRv4HQYrGlUtVcEtO3Uua9rBTPn1PAV/d+F7rSLyBTNDKyoGGGcD+LPvXsfwe0TRdH1ayjVT5sCSKys5IO4c8e1aemXMkOlqrPIjN+8QNtK7T056/hWB4VGpJrzSpEbhGOWxy4x9O1dcanNB0+q6lwpRjyX0eh13xOvtKTU47K0BgtWTbIyctv8AZfSvIdV8LNozNrMGpztZooISRdpYt2xnsa77xvqaHV4rOxfyLiX5iANwR+mCe1cF4b0bUPEJk067uZY5YZXZgf4ueqjHOa69JU7yZFRc14rc82vNL8V6lDMl3DKgRwyk8AoByRz09q6a28BapeacmvaWE2RKFjJ6NL/ED68V0t+lhPdpbXQmE0SkZZxtkP4dvauitb67luFtrUjFrGJCg+4CeMEe1Ye0UdFsYQevJYr6t4bnvNK0vS7lhEbdSkjI3+s3nOc9eK14dH0rR42hsblVYfu0jk5UuPUnqKx/FUF7eaDp8xX94XJDqfRuRXA6qutT63GogdYQoTIG4Fh2x3qFhnVs+ZJGtWjG6bPRtds9Z+zNaWsg8xxuIbptXqBXE2uuafqgOm6lLsRE8squRgDuTj9a6h/7Wi8XMVUtHsRW4IwCO471x2o2H2XxO+mLIHimP7ps5UOfUfTtToU6UrO9n39DDljdW08zqNPutMizbaR5P2V1beZVDMdo7EjPNeb3Z0u316LzrdUjkUHy1QMWT09jSS3zSaxJoUYM06kYeL5Yz9TzjFbymfR9SDzRRLhP3h65/H0rrVOMJNrqW4xul0ItU0PS9dijt5ooU8oEqMkEA+o6Vh3fgy+gsQ9jNIuOIQuGXb2+lWdPn0S68TLDfXRdZsnYvC8dj616w39pLYm3s4EihQ/uCnLEds1NWc00pSJqUlJtnlR+H6albM16vlqsTeYYztycdx3zXQ+DNF0Lw9oMOnaPCwZT5zGYliCR0Ge1ddZ2Cf2PMC5kuegMp5Oev5dq1tE0/TtMIh1hQ0pt1Ko7bnfn+Ad68+pXlJe7K67HOqKck4v/ACIdEifUQt9pxVY92TJKB5h29Qvb2rj/ABhYzXGty39rI1vvjWMxEcttOc4969Kl0+2nv5bYzxQqi7oox1BAzkDsQf1rm7nT5bW5h1W4unu5F+9Iy5AH90j1FYwqw9pydbHTFf8ALtK55nealqX9jzaP8lpFcMGHm525UY5Iq3b6J4d0PQZJpxHDcqitLgMUdG6EYGea7bxpDZ6rHDatEohchWwOGc9D/wDX7VmXGgyf2xbWtmjSGKILt8wuBxjoabVOELWtfsFWhCEXpddDPF34d0Ozs7qytgqSptWaJ2xtJ5+8c/nW/wCMPE8FtpMZtxHdS4XMkZ++jdiB3UfnV+68Jadqmh6fo99mO7jG1gFxhSTk1kXHwrXw/YS2/hK4ie4ZlOXkJ4J+bI+lebGpQqv95JppmVF8sbNaXOH0/wASWnhqe4u7WVkhuxsTcvzgn+IcVR8WT614hs/tthKsENuN6o/ymXbySfXHYVe8ReHBBP51qguHgIMsYbcQO7L7V0nifwzBrGpWksUDToI1do1+VRtAPP8AWu1xoc0Zp3e2vQc3ScbLfseX6Rrlo2iTXWvR+fJt87awIypPQdsV6Z4Z8UJqeqPJDpYjtbOIlD0y+AVGR61wsHgjVtU8RSXcayfZZDte2HIC+i56Yr6P/wCEVh8L2ln/AGYUlkkwzKQNpYdAff0qcX7ODUmtzGFFqopWvFHhrX8rao1qbX9/eNuJMnC55xtznj6V7D8RxceH/hjBeQQm5ZQI0W1PLMec88k/XisXxR4UW08SDVGVLe9uY1EeACQW6/lmrmv6VZeHtGtfD2s3chezjyrqT88mcg+neplJzjBxfu32OijeM5Jo8T8My6WNF/4SO/M9tJGT8jEAgn72R61oS+P45dFf7BqEw3uY4jKBgrj2Gc10PjXwBL4s0SPUtLQ2xwA5Tnd74PGTXM+HfhFe22kiS+nbykk3OWAJC+2M4NenalONpdOhNSrJxUbXPJNO0O/1W9mhs7hpGc4DlCrEt6FhivTfAvhXxH4cvzHfSGeNiVfzDlkx7H+le92ukaDoulSaxbFLuO3Kr5hJADN07dq45PCDz6+3imS+lNpOvmykHKktztBznAJ6U54uDahHaxrC1PlnF+8YOpS6jc2m21R5JCCkKoNqlT3+fqQe9c1rWu64mif2XqcTNPDtymByv/Aa9Ynt73UpNNtI3DFUPlhRk4z3z0/Ct+PQF1hZ3aFYpoyEyedxBxz9e1ZOpCNrq6MqjUk/M8Mtn0q7szqGis9ncn5ZFIIAH971pL/xFrJ06NtTkCvEG5IB3Dscj+tbPj3QfEekzs13bSWoQcIVVWcenyk/rUcukyXPh6KK7k8ksP3m5Bh89BnqDTnUg0pf0iIqS0ejX3HCR3ularZywwpi5uUCl1PYnqR0ryfxb8C4NG8cStalZI2UMADlckA5yfSvoWw8H2Xg3Svt6xvGLlj8zgOB37ngVy2lNqd/rR1XWomktx1wOGH06Yq6VeVJuUTmkpwTjUWr7HiPhJtE8C+Ipba0t987HJmkXcNzdQMfLj0r1fTfB99damLjTv8AR5r05Ktn92D6/wD169pgTwZpdnJc3NmGaQ5jCpuAJ6Vry/8AHrHYrsS5vMPO5GFiXpgkdKU801TUXfa5NOOjb2POoNE8S+GdWjOoXDlYSvzJ/EG64HSvbW1+1sxPdWGrXEWwbipLED2I/wAiuB1TTNS0YRtqBOoSW/3Cj4Ta/TBHUgetd5oOiSXOkvrM8TqoPlEEDJPXk5rhxOIhJKTjrc7VVt8Mf+AeB6+vjuC4Xxk6tc2A3RQEtjzGl4zjOflPrXO+Gr3xpd2ktxehl+zStC0gwPnUc8f1r3TxHPdG5TTba3MyF0I3L8oYdMemD1q2+i6Pp2oi+jIBuflnRm/d+d1YqO59qj6zSjOMZw32M/ZX66HCfDS80y3vHnv1e4lQ7yT935ezfXtXqOtabY6hZrrUsce9ZjMpj6Rq/QEHg+neqOman4Z0uGXRbNI9lycM+Mk56k/TtW3cS+H7m5tND07KLByvnPt8x8c4HPy+lehGqtWnojqj8Npbficf8Q7u/Wxi0jTENvbRASNGwIkcDksccDHtXj93BpEdhJes4tpJQAit8zEnvzk8+9fX/iKDSdP8IReJ9dNxPeRzJGkarsDA9y3cD0xzXxhrGheIte1a+1i+hEUFw2IABtAwc9P61CqKrfl0sXjMMna69486vNQOia1Jol28jxQyKXUKDkdfyqhqOn39/qgurAg7sYDKCqx9uvtXrF/4X1XRrf7Xe2ZL3RGZxzvHTIPpXninxFda1FYPZmG2yQxUYDA9CTXTGs1qk/M8erPdWM258O+ILfxHC+nxJdWwlVjhVxtHUgVUv9G8TQXcmoXzExTSt5aQ8YAPAbHTFewnw9rmkJDI8HyQLkygc7O4Ht711GliO4nd5nVbfaC4PJIbpVUcU1701dDoRnJ8zWhleHPGmtW2n29rcwoS2AWT5vk74yOldhBqd++oDVbG+khjt/mkjHCbe2eanuRpWg6CG0yMrqE0gEbbcptPt2571i+JreM/DUajpC4neWQTTyHajsvVcng4NYuUJyb5bX2OyNPmm+Z+Z20/xDsvFUU894itMJFVVVzsAxzgdK8z1G4fTrk6jpdxi6Rs4P3QvYe9eXaPqGs6h4ZmkMKJN5yxrGo3bkPUqwrZh0bxO9j9jtDJFKD8ytx8vb5jxVTw/RhU57xXfsem/EDVZr7wjps+nymUud7sq4UbTyPfNePaX4m1jUNW8i71J7OyLkF1+Xaf7vX9K9bMsel6DDoOsRq3l/P8pBORzjI7GvGPEXhG98V3MN3p4jtmllKRxiRQOO+OtLC0YU3JeZhOFm5I9l0rwsNLtx4ivLh5LEbsTo5dee5P9K8+u/F2j2PiOODRRNfW92u1pAPuknrjvXp/hSx8R6H4IuNAv4VaCTChRKpjQnvjOfeqll8MLyDTLe4tP9PEUw8+QFV8pMcj3HuK6uZXaubxX2Ys8Qu9B1d9ajju3dEuHOxBxuH9K9U8V6ja+E9FtdGSCRpGXJEnBx6e2a9n1XSNJm0/TrK6jSR7dpHXB+Y8ZHPtXjuu3un63NJc3O0zRdc55x3H0rzIYn3nZanJJNXUdzyjwzc3+rbxGn2XdKyh2b7o9D7UW13ZTkabJMFmic+b6DJ4we+a66C313VHils8i1tnLg7B87HgrwOfxrGj8AapB4ueS5j+xK48ws2D5m0Z4HPSvRjLm1kEJStoiXWPDC+K57fR9NVc7hGdw2vz6jrXs/jLWNGtZNO8MQr5osraOF0AyA6DBNcz4I0AS+Mv+EovMva2yGUSKSMSKeAw44rX1SPVNTF14kREnt5ZGCSxjBznoenSs3FJb+Z20KTjRlPZt2IYbHwPBF9mgYtu+dty4K454Peun8M6H4A1PVJ7y6AlgILeaW24x9aQ+EEsJ4byQki9jYyGUABAo/hx61w8ekJPqTadooka2MTAbl2j65rCWKnJNwexLnOUdkfSPgO6S+8Rtb+HU+1WtuuGLN/q1HcH0rzH4w6jdjQ57XSmaKWZ2B/iHynjkV03wGtrbSNP1G1u/tMd5PuhYrHmLygeMNnr+FST+HL7UYbmXUlEMMbEplvmHPHHvXFK7q+8rm3s+Sgm3eUvwPKPAfxH1mHwnDol0XivIAUkYdefauwsvGmmvAlokSXLJIDMhUnOOpPtWPPp4s3+33EUfmyHa2D1Y8An0qjbeJNK0VrmBLQJdMCrOBnJ9vauuSg7xi7Pc4bTjpfYyvHuvR/2ntO5JXUbIo+BGh6H6frXLX9hqcVhFdrMWM+Q0ncY6cda6O31rU9ec3tzphkMXyiRbc7to6c13Ol6Da6pbFnkjRyOWfhl+inmurkjTjdnRTpxe+7PE4RZWGowHxiPtqSsG3Kf4lPy9MV7L4gsNJ12AXdjNN9ondcwkDA7cHH8zTrT4bfZZIdrx3MMJ6+jE8DOeM16pf6fcx6I1rd2/wBnkyGCRY25Hc+tclaaupL5l+xlBNLS/qfLXjTUovBxis7u2+0zMuzLgkqn935a5jTdX+34jv8AT1WAn5MHGPoM17/IthqdwkNzdLavDyyRjJlI7Hg9axZ/h34LudVS/WBpLlmyqx8AN/tZram6UqXxfIyhQ5t3oZfwntdR1a+udJFm7xR/PAkgwu4n256V6o3hC18RC5s7do4BaYLS4wSSeR07VoeHX1bwOnn6giTz5O0fxBD90enArprKyMtk+n2MwWVyXeOU4I3HPGP61FXFckkreRq0oJJLU4vRPDXhvwx8Z9Ei0gvOo1PTN+0ZRGNxFyT7mv79PCfCr+FfwveGrSxv/GugWtjdLC6anYtMSB+82XEZA6fgK/uh8JH5V98V91wjJzVaTf8AL/7cYV4ctj3LSh8g+ldXD/SuU0r7gwMV1UNfZHOWKKKKAP/U/v0k+7WDf/dNb0n3awr/AO6fagDyDxPzG1fxw/8ABXGwsrz9sHXo9Qd0il0zTAfL4Jwr1/Y74o+41fxX/wDBYTxNqenfty6zpyNutl0nSnKn1ZZc4/IV87xN/usP8S/JnThfjva5+Z+raHpy3H2Pw3cx4lGMyAk/ielZmheGJ/B2tW8RmWcS5/fA8MO+B7V02q+LdCtPC66d4XsVlu5M+bNIu4rmneF7W3EUD6ojM0Qb5WHdq+Hq4i8W2tPxZ31rK0lJX7I9r8NaFPqV+ltoCkvO6qZ3GOD1xWL8UPC/jzwTc3dhpn+lTqS4ZpOfLHXC9T9a2vCBlso/tVvdMkoRgqM2FX/6/pXE6jrEuo+JFttTvm88cby+/n+6c9j3r5pKpLERUdYrfv8AgZ+3owpSvF8/R9DC+HnxM8TeGLuGe6ga8tmYGaOb+Fj1wDn869C1ePUra4nvdQhito7pfNC7sEI/IxxVC6t7ySeSLVrfybdUzHJGMhpPr6V2ms6n8IofDcK2esS32tRqC8WAyjj7p9AK769SHOppPm2ejeny0+8ulTnXjyqa076Hx9428B+I1kk1AGVXfBUIM8H1P0re8NeENS8P6D9vRsyycZYffB6n8K+pbjx/Y+I9IWDxLFbpIwCxleCAvr9a8k15dQ1TVRdJbq9vH909se2K93CVvbw5ZQt31HUoUIz5qbvp+JL4G0mTTLSS+1VHlBPmqqE7B7n3r1vWfjVo1xoS6TbubOKUeS4YA7iPTOcCszT/ABJPpvhSY3Uf7h4yoQDgEj7w78e9fPnizwva67p0F5fXKC2Z/vBSHzjoTXJOMHNqSsrlQxHsoNRW59IeEfEV/ofm6fBqAjt32k+evyqH+gzzXG/EnxPpfw91eR7qZJ4Zed6fdbjsP8a43StdjvWeyuJJTCsaruk6EIOMn+VeY+ObHw7418OvrcT3GIQwZdxwhHQfjSw2CTrNp+vn2J9t+6cFq1t+pzPjH4i3XijC6BNIse/coPBA9OlcD4m1p007dczia4YBf9pMfStjwJ4O1fxPbQ2umwPZwBgDPNlV/wC+u1fQOmfsrawxOq6peWy2v8cKkPK47MM8816aw0YuzOGGGq1veij598LazJ4c057rUbpv32Nmz5gPy71qwfEuLU5TbMPLdeFnc7Qf96u/8efs3aLoQt4odXWzEsilY2csuM859K6nTfhH4b0a8Y3kdxr9sUKlbONGQt/vEg0VsHGS0aOhZfXbtsdR8OtX1rwXq1o9nMZ9R2tK7Qybl8uUfL8o612lrqtrqcRbVGP2oxyIrJHgb26fX61wXhe11668QSau1mtrEqi3jjk+Rljj4A474681u6j4juvDsR0+ysjLHJkAxlW2sehGTnivBrYGSnyp+91a/I6qlFwiknZJnfaN4bbRfCs//CQXPm3DR7kjzgnPv2rm9KTWdL1OLVLS8gt0H/LMTncw7gjHNedTX+o/2dcHWb2S5iSMtL5Yw0frnIqE+IDpHia1urWFbg+WuY3IwFI4P1Nb0qNou1rFSqJWjayVtT2/xLZzCJvFMMcUcdxKN6ryGJ9/SuW1stZix1y2MsEW8hpEO5jgdBntXQ3T2lzoE2piZnVRtkgAPy5HbtXiy+Ir3UrEaY8bR2kTsYx6Z7ketcEpzUeVbLS3+ZzY2UovnS369z0DVfEGjapJPq/mRxAkMEk+VgyjjAHHNadu+pppcOoXUIQXOM5wMp1BOOSK8Mn1XSdT0kaBqL7jEreWY1Jdm7VueEnuYbFhqN1LuEQjiWRSuzHYE8VcYNxV1p2OanXfOro99/tLTtb8NzQQlL57LCgAFMFu/GOnvXi0T+JbWf7ZeyBYRKUjw3Ib15/nXU+DNQ8R6esl/fuLe2nyrSlcNKOn/AsVBqvijwgHa11FIp7YjYHxtKH+9jvQnVv7NHROcmry7HR+HNXSHS5v7TkMtyMhCOWO71xXkNtM194iks7eVVnikLqrc+3bvTvAl841GRLe5jEBEgErnAAOcVheG7dLTXb69ll897dSxYcZx6HvXVToS5ve3WpFROpGM+xtRW1pZavMY7cnyyp3Lkjc3X9aP7JuptTN5E0crtL8ryk4z6YB/nWmPEtpYBRNKqxXBAUIect13V2WsHSPsdt4YtlUPKwImU5cn1/+vUyrzTs9jnk293scxouland3xlubOOO7t9x81CCjZ6Z9K9a8N6jayadfmGA/bjbkOw/1atnqP/rVV8JaZZaJpclhgypKSDJ1bI9QaZY6fHaT/wBm2l6AZpvMli/iCnsfavOxkFJxlB/n/XyBNRanF7ktja39vp8N7LF57MxBUc8k8Gpr5H0W5S+vIjLdTjyoW6eWeverr6ve2z/YAS0d02FVVxtMfQ564rlLq0mHiz+0NcvlltrdMlFJyJPx46VMJ2bl3uzoi0lzRWhFPHf3tvK0bFZFy7Z6jHp9a5KDxYtrqCW2pNsR0GMj7zfXpW5Pq2sadMfJt90s2fJibq6/XpXA+Mb2e+iivtbsFiKN5TQgnecd+OM/SnQwrnUVSaOSnTfOpyPYdO1zwvqoi1e6eKKQqdiSdBjjcPcdq29V1m3tZ4721aMsiKctIEJB7gd818m6tpWsaVbtcNC5WMjAx0RuTwecepro28Z+HNc05JCjCYRrAwTnhOnPauqtSdlGOqO9YjkThbc7nUvH2p2eqanqKqZpRGyQovXcRwa42w1fxN9hk1TUpJY2vNoy3LKV5II9OwrW8O+GWhuP7R1RjHiJsF8ncD/FkccetY9vFd3PjY6fqjMluyK0ePmXA5HT1rCGBpxi+RK/X5HnyV02ey6J4u8J6LoKvd+W8ko8xgR84XpkH0rjbbxVo9xbNcS38tirSbv3pxuAPH6Vh3NxpWl37T6lGSJG2qi4+UegFdfdeCFOjmxvoUmFyrPGCPmGeRz+NOHs5Wcv6RdLEOVo8u35HbQDWQLfVrK9jewk/fP5fDMjf3h3rF1yS8siGtSUhJyw/hb615Rd2Os+HoLaHTLW5mFtEokXdlcjqMCvVrDWLbxBpP8Awjt2zwOi+ZuUgM23nByOMdK6cbhklG2sXoz13KLShJKzOd1rx7BpWuJe3toLi3toELLnaDngbW571i618QX1iwhZYBAWOEhfnr796i8d29rqUVvaW8Z/0dRuDdJPSueaNrizjN9EIpLX55S/AAX+6Op4qMNhoKCaX/DeZ56hOk3GS32/4c9RtNZuW0wRXxaEkAMoPykHpxWpBq3/AAjFibeyfdb3HDqw53eo9K8eg8S6ZcaZdXBgae6yoQcqu3PByfbrXI3nxA1qe0l061WJWhlIwoLADH97OKnkq875F6kSnKMbxPdbLULzWdMu9HjuVMWQTCzYLHt8tXdEu9Ruo4tGntFFvDhSBxjbxnPb6V4X4Ru9f1WxuLXW4Skisskcmfm+XnGByc9q9c0/WtR0GKO1nLCGdVl+Zed7ckHuK0acd1qaUZJxXMv67Gz4p8S3SeKotK8O5EcRG0yHyyx9C3NU5Ne1K9uG1C2nANox3eS+Y2Y8Y3eoP61l+KNQ1KXxELvyNkU0iqdiku2R+gqPTJotNuLu4tYxDbDHmguFyf8AdPJOfStbU3CKtqdbkpOTatt+B20e/XrGa51Fy93cphtwyyqexPrXNb9SdgkLtNHblUfj5Ru4HHtWzZajbx3ttfJMkETfM/8AGCvpx3qlCNPtku21geRDM4ZZ1yQQOxA9a45JxajLYmUNOXm0ZR+xJfXksWuSSXNhHwy7toQeo/lVDR7+y0u6kVNq2a52QO+V2988Vgz6iyPcTaWfNtidrr0JTscGp762tZbBbqR1lhYhAq8MN3cjviicJyheGxwSlOUXCJ6navod/ayXas3n8bbcNmNV7HH9apyaRd6yj2umqiu52ylziNs9if61VuoNI8Kafa3+nunkbB5jMcliR0/A15zZ+MPtniAW9krShDllB4/z7VzqFScLR6Fw0i9fuOw1Pxj4R8BPN4ZhggvrxFQuSchM+h71lrrUq6RPqdrK0UF6CXjByoz3ArpfFPwr+2TfbUa3trm9Eb+VL83yryTlenHrWlqek+E9Hsoln1NQ8KAyKiZjRP74459K1oUaVWmuZ+8t/UunGU5ci0/rU5i11K6n0WbyHdLydODnIIUccdq8W8O3Op6j4/sdK1Sfy5IyWJlO1U4PPPftXv3hn4aNoXiqb4gWOrn+y/JYuk4yAGHb69sVUm8FaB4nuF1bRp4Hut3mxyOGUMh6KfT8a2UYQf7x7a3tsbYjCt2b2R5f4c8X6o+tz6QipDGrnZOq5GAeeKq+JtW1rT9YN15smUAMbkYDN3wOwx0p3jHw59j8UXb6W486UqpSM4QHGPl+tbuqz3Vo1mtwxM0cIVWYAxhsYIbPNaVEoJzgrpnFLnilpcZ4f+K8Otwx6R4inSa0tzgBTk7+1bmr67p2t6zFY2m+zs5V2iEEKGZR1BPr1ryeLwdoVuIr/WR9nllBdTCRtznqfSq03h6/uLYxGWb5XLQSPgjnuCMmnThRa9xWOx1HUUUnZ/1oeuJpHja8hktrrUVFlGcxmUcqo7Y7/hXf6NaaHfQtHPvnV0EbOE2/MvQrkcDNeZ6DLrz6QdHuEW4kj4yxYMx9F4q/qHji68GBPt8TRGMLleWHP171jJ1Ipxa+a/UybqQfvHU3XgyWHSf7O1S8wouFZN+d230+la/hLwFa22nX5djIuNy/Lzknjr2rm7z4y+DPEUcegaojpfTYSOVhjr6gdDXaaddy3ejGy0i8k8qMFVLDALdDuOc49OK0qRqOzvZBiKcp/wAPax55oGi6lLqrrdytDcK24bxlBjtnpWtfaFPrMCaLeXKw2qSu7rgEEnk4HTn1rnvENt4njtm8OWqNH+4ZpJi5ZZPfPY+1WtN0zUrjQfsrLJNdMEQiNvm2jpSXNBOQ8PUaTU1okUptD8NWt+YNOimQociIABePQ1Rm82eG5v0jkBRdhGcgAfj1rp9Wt9T0ae20byZftDMM713gD0zWG/h6/wDDdheXd3I88sjFiirjapNctbE1FHfUzq1XZqOjPMfDoa8u3vLi3cpG2FEjHPPt0r0PTfCdtqHjizu0hT51G1P4d/fn1rj9ZN3Bbi80Pm2lO/DcEEds+9etxw6fp3hrTNX+3pBeSvxGBnnHqKqOJqcvudjipykb66V4N8Fa7c6L4jdQ9yA6rnKlgOM+nNXfF+up4b8EtaNElh9tY4ZlG2RSP4fY+lePfFS7az8W6Rqd/cfaoPKc3DRjgAYxg+uK7DxRq/hfxF8P4YtOkkaDfujjlI3dOpz1/CrgnOK50erhoKSmrarYyrbVFnsVvJhtO3aMdcdM4rkfGHhSLQxp99pcdzdpfLucgHABOPw+lc/f6tdj7Pd20TzciMAA4PYcDnj3r6bnsb6z8Fx2VzKBqLAP5J++E7qO2aEpUalpap/gcNOknJqW29zwqfUdV0a3isNKVLFOCrTSjJY9eD0qfxHba1cfEDzLrzJYYkQHap53KO/Q1zetxajrmp/2ZNGqKm0uzcsBnof/AK1dV8QdYvn8Q2um6LC0EECrskZiNwwN319q6PaOzsbQlCNObfSx7NoWiR+HtOvNZmRo4rlGiHm/McN3HpVrULKfS9KEkcmLfYrDAyOe4A5yayNY8Z3t54YsrW3t2umACFSMZp3i7xHY2f2e01aQwO0SbBGc4OOmOOlcScqi1vqdUXz0LRf9MjtZp4LiJb1GMDRup3joW6Y9f6V5JdapaJcy6XKZYzbPtUxkfNjtW29wvii5t9Nv726ha2kVweVDqDkr179K5zUNH0u/8ValdaY6B1ZnWGWXG3H8OD1NdVHCyjCyVr3M3Sko80Vf+vI9j+FWq2mraddW1kptTASxfPUnjv3rnPEt8dO1Gzgu7ppY2EpfBwGx0468Vzfh+KXw9dDRrSFnmu8OshGfLZuTg9q9L1HwqmqT3Gq3EG9NN2BST80hkHPHtWTwrpzWuhtOm50FHqjyyyk1TWNKE2lQNMVP8fceor0Hwv8AD6GxtZvEfjS32hYy8KucMrdjgdRWBq01/wCC9Xsde07ftu5kgEceGaMOcfN16V6X4z8VaVrEmxbhpY1iEMmwFWEo6jnjNdKi3bk6nNQpX0lLXscf4S+y6tq/mwXktvbSMVM6f6pcdjyAKx/EOpaBpF28lhbS6kJjiNkyDkcE8Vo6BPbeAxN4KuSUbWhzJgHyw3zAqPU965nWtFm8F3A8OTypLdLuZdhOdrcn8cVpVvont+Zp7OKioT3HeDdU1W48Srp1rEzxOcyQluAexJ9q97+JovNB0iJIYlVrhcDE4ZgD/KvnLSbVBHD/AGOJoZrghpG9B0OTmrni83VtalLu5n1B4TmKK3G/IHTLdRXNOF5KFiabak0tX5nlF9qF3Y6+bzQyRPGm1wfmywPP0+tbfhnUfiANReaVjEH+Y7wV6n1PFes+Hla98OjUtc0Y6ZKP4GXLsnZskZ5qt4V17SbaU2viJTe25dtrOfljHbI7/Soioxk4W1RhJSjNLm0f9am5p8d/f6nJPeqXSFUNwAeQD0I9c96v/EOzsL+GXVdIkaS5YRqkMZxuA4P5UkerXmlzriKFkYnDxsPNKnoM+gFdbNLbafp8s2lWaz3zjMcnZQfvH24qKrcpKS6G3MpNKozS+El3pMHiPSfDGobhcrqVgWnYguWE8ZUentX93HhPOxfwr/PD8BXWoJ8WtGdWMgj1rTVZlOAd11F/Kv8AQ88JjAXPtX3nBS0rv/D/AO3HJWd5WPctL4QV1cNcppX3BXVw/wBK+6MSeiiigD//1f79JPu1g3/3TW9J92sG/wCVNAHkHif7jfSv4aP+C1etPo37fHiGfIZf7C0fKkZ/hmr+5jxPzGw9q/in/wCCv/gnwlqn7eOv6/4uvEt7X+xtJjdWaUZCLKf4UKj73XOfavC4hpqeGSf8y/JnRh/ieh+RXw78TX2rNPbyWuFIBXB5/wDr19B6U+pyWMLahEYoGJG/bufivOdLtfB+heL0Nh4gsPsbquPllBA/79/rXrEfiPw5BfW0E2vWTLuOwES4Gf8AtnX55jKMr2jG6NJtc15HrOmL4H0vwZJDqqTSXNxzGQORj154rxD/AIRzR9Xvf7StGaKaDO4E8fge9eieKNU8P3mmKgvrSKdRjzWE2Dn2CVx+g/2Ve2Y03V9TtBs+4VEoYKOT1jFefluCr888RHq/60CpifacsHBWXbqdlZaJe69d2NhpNw0dsQpndSDtPdju7V454t+FfxE+Gnie6u3miurG6zJ9qTnEZORn/wCtXpSaNZaXeprNlrlodMdCDERKCw9/kqjeeLLMTJHa6zp89o0m14ZBK6qnoF8v9a7YYSs63tLK3VWX467nTKNH2bvGz6P+tzzzw3bxancpbagxdCxJdjgDPoOtezxvpHhi5awkuUuYwAEAOeWrS8Za58Nr3TLZdCuLGCSMDzXEcnp6eXzzXj2tXGn2MyCbWrBRwwQRS7j6ZPl5rehRr1LTjBwV9rrXz0uc9OMYe8tSfx5qjXSNosckiMzbisJwMD6VzF5oOuavpifZHeWOCMFYcdSPX3rsNNPhe8u2vdV1S1MgUjKCXv8AWMV0OmeJ/D2kWskWp31lPp8reWyt5oyp9CI813TwkpJJrVem4Sbc7t6M6Dwh4Q1iCa1v9VMNtYsgBs5QGkc45Jz0HpVvxX4X8Nail1oTEWgI3MEUANxmudk1Dw7qMiW+ha9bwWf8Cr5zGM/Uoc1zPjO+tNORL5fE1mdvysZRLkjp1EdeBVy3FKv7WjKzt+P6mFaMnNzWiWxuvomnWng+006yuGFvaRiUNx99eg46/jR468QrqVtb67qV6yRSW0dutrEQrDy/4z7GvPdHvvCTWMkP9v2EbTNvwvmqPpzHzUK6H4P12WTVrjxBayXaDyFJ80qqL0/5Z9favdwNPEqHNX+LrY6KNer7rmzlNc8eadpYMVibm7ZisYMrKwJfjA7+1ZZ8T+IdE8zStahfThZP56QKGMxVR049a1Y/hT4R84atfa7bw3EEqvlfO2ABsglPLx9K+oNa0rwjrNgdav8AWbKTzl2fa9kjSMh4I+539a7ar91Rtbz7G8K9SzkmfNx8fXHi7TZ7fSN9teRRiWOOZhk7u/41kaFqFta61caddXUUcqFXV4TwSBkjdnBOa6iz0rwLpXihrzTNVs5PJXHz+bkgev7uuj1bUPghZWk8N/caalwcNGFM2Sx5J4TtWf1eSbhFPVf1uae1crNvXqZE2qrpzXV/PKQt5CVkRm3Fge7DuPaua1eeDVdQjuIGitQsa7I8YJwOtMvtQ+H0vh6XUdR1ayl8xCqtmYLz/D/q810vgyP4PGQ+IfE+q2y21lAjhf3u3J4+XMY/rXLDL525nvsTUlzrlurHpHwiudW13Sbyx1rLJdAxxORswSMA8V4deaHq/hzXtQt7xprlLQk4zjIBxxzzX0f4Ov8AwXHY32oW+u2c8l6wMVsnmLsXGM42ZHr0rwDxn4ct7iSafStcsoZTIxfzTMcj3/d1yUsJ/tM1ONr+gV4uVGF3qv1KHhDx7Ya+LnTzp+y7GUSRE5APU9P1roJNBGmRwX3iGWQm3beYyTlowOvp1qp8MfL0TS9S1PXNd0v7UqELOfNBjGD6x9/Wr0niGx1Tw5YxXuuWlyssYffmZ2YemfK5FaVsHUpu1ON16r8DHk928t/63Kml+IbnUhc2mvXmyAAmGLB/D6Z/WvLbp5dR1CSygiYM0JG3aeWz05r0e00W9GoR3uuazpqSk5EO2biMfdLfuucjpXf6ivhpJP7Xi1KzN0V2R5EqqxPfOyilQnGqpJXXy0InFaNvZnQfDvRfBk3w8i8J6VaSXviK4EjXEg5ESryPyHWvOdN0zTVnOl6oxIZDCHQ4Bz3+lUfDE13oC6lqfh/xNYWt5x5gQSnAc4I/1fvWlp1jY6ZG2oTa7aXFyz4QskpC574EdZewrKpOzum++vp6FzqKaXRrczNE06yv7eW1spylzFIyqp74PGK7zwd4XuNP15H1CTzbkyBjkZC/T0rgBoztdLrcXiXTY2gcttVZQSW6/wDLOvT9J17wpLOZbvXbUThdrACUO0h6f8s68/MKElzcmqenocFeCtpseo3OrQ3M8FoluYn3t15PB659DWJqVnYReJ1vgpVXG6WROcj0B/pXm+meKdJMGpOurWkQgI5HnFjk45zH/Ku3stR8KzWdrEmr20DIwnK/vTvA7/6vpXK8FWUFaPTp1PRjyOCXVWNHwzDqGqSm0kmIjZpAkoPz9eAPp3q7d+ENLtrmS21q6LXBTazKu5Cfdc4zXOQa5buUXw1q9pEqu/mq3m5wx7fu+a2oPGPhnw3O2katqNpPNcPt3bZcoD/Fjy/mb8RXR9Vq8ui17dTooKnyNzkVdc8Q2VrrFows2SS3wA0ig/KuM4X3FYer6foni6G8uNJuF+2SuWRZG2gZ7KO1ZPiCDStEmfXbPU7WWN2AXz/OGA3XP7s9e3pXlsVh4U0/Vr/V11m2t/NjyImWYgNnof3YyPetqOBqXu7nPVqcnu20v9x3pvvEPhPWZba+P26QJtYkeaNhHK8+vtVm/wDhvbXGqW+p6DAiPdRJIY3HlxrntgdxWHoPiHS5LJ0s9aspREQQyrMCg6kf6vvXfReOtKNmQ2s2hlxn50lOR2x+74qquHqqTlGLuYRqRbfO9T1jSvB2jajawwkpJNbwkbfMbaE7jHQ1g+JtN0az1qPULS2AR41j44AKDn6Vz/hXxjpml6k8+oanZXUhjOPLWUFR7jy8Vn+Mta0rXFhvF1O3RCzeajiUKyj7vRD3ry/qeJnWTadjZqM4qbSRkeIdD0LU7yF7mJllDCRZkbIkX6ZrlNc13Xr/AF9NPjJjismjO4NgbTjjPfIq9L4n0e8kj059UsIZo2EYC+bkD1/1fWtuW0+Hcvg+Sxl160+0SyZ3gSkptPPOzPNdEMNUUrSWiMVTUql+ZW/PyN+a/sLqC6mtZ9kzf6sBvmDe/aprPSbAwtei0WW7ZSGly3DduBxivFNFuvDOjXc4j1exkTeVRyJs/U/u66LVfGGkRP5MfiK1geSRCNhm2ED/ALZ111qFSnZqN0aYnErkMnxH9vOrGSWEK0SANktjPTp6VXsbA+QtjqIMk8rZDBsj6fMelelnV/Bl+kkeravZyyFBtI80Ekf9s65SfVNCvYxb299Yi3cZZ8TbkxxuB8vt6VWGdWVK6i18yKVWMoLmZwus+GJNFuwt1dGO3nz8oHIIru7bwqkOgQX0JWaKUDcWULu/EdDXl2pMbvxBFBbeINOufs/zFZDPyvb/AJZV7/p154Y1/Qo5NX1uyCWrbjHF5qxOAOhGwcVrUddQuo2v6GsZpuSjsYWh301hJb6WVVZCGJb5TtHuf5VR1/SRFqB1e8uD8mCkecCTJ6nd+dcv4WWLV9bW91LVtPkhZmUsnnqAucDH7sc4qHx1Lb65rLWa63YfYrJfKG7ztwVMgZ/d+3WsXhJ3TtZ9SarjytLobF3bXl5q3228umAVM7Fb+H8O9ZOvSadYzvFdqJpCqFV+bLbuntxWJ8M7rQNVsNSsr/xBYzPcNuhaLzjtUDG3JjHevRtcg8ES3ls7apacIse/M2SUHpspy5qc/Z8mtvISqJQuzO0jTy9o8OoXUNoZmxsbLMB7bc4/Gtnxde2rwxy31yjwbNpEYILFRgHHSruiSeAtIvri++02E8sibCWefKj1x5eK43V9d8KXCSzXms2CQq2EG2bgn/tnU1MPVnKMlHT8RVarceXZM5cavZWoNraTPHvQbcjJqPRby/1C3kWytftpPHB25Pr2wKsXvhrw1q0kWtW3iGztVhQZyJdpb1/1dc8kD6RZf8SLXrCOQyAOzGcEntjEXFavC1au6t+ByRvzb2XkdNqUGsXekzDWEZWt9gWBc4XJwcmui0CabSLCW10iGKJzMHM7YJK4+5z69c9arQancTWC2j+I9OkuJyBJkSkFVPTJjzkV1Fjd/DJr02t5qdncTo+8xqZVXI9f3fWsZ4epB2jH3f8AI3hyJ80NvMQ63LLBMmskiYbcPk5A9B2wa4W48V21vfTw3cTTK0WxVxhevb2rS8T+K/BmmXLSDWLIlQcI3nMOfbyz0r5/8Q+KtIvbxb+317Tkhj+ZwTOMj/v1xWdHL63P7RR3OOa5ZKd9ex9qf2rH4l8NrpxuxBDtB8s+1YcN5b6Tp9xawx77e1iV2dSSSCcDg183+FvEvh3U9IkfUfEtpJLG4ELwGcqgPZh5YzX1NoOp+G9c0nc+uadHL5Swlysu1tvc5Qc+1bVcDWhH347npYfEKpZSeqIfDOhx38YlvIhE+4MHf5iPbJ9fXtWX4w0yzt9GuY7x94lcqnO3Bz2NddPa+G9F0WVNY1y1EiIwJVJSmT0I+TpXzvresaFf3yaZea5YGBAGUgTA/X/V1M6dWcbU47MyxM27QLDaJp9kqWKFikA82QO27Cr1GPeum+Hh+3+JFsiGa0nB2xKu0rt5Bz2/rXIWureF4PMth4i08REZyfO3t7Z8uvUPBE+n6EJr/S9ZtBc3CbUyJcbcYOSY+eOmMYrOFHEKVnEeHqSUlFOyNeeXWbDxZCRcC+WSUIoPykZ/j98etU9X0T/hIdA1S81+6lu/mwhYY2kHp+Harcmm6dZ2cNzqWr2oljcOkwEuNv8A376V1M2r+HDoh03+17E290y4wsqtkHknKU6kayai4XOurV504S2Z518IvgreasbrVdZsWl05bVpIrvb+/VgeMHuKvSfD3xN4e1SW/wBZlkaKJeBGd25G+5kjjOOtfQtl8Q9B8JWEVjZ6paZeL7LvCzcJ1xjYRn3xXC6RqmnedPea5rkNw9wThAJMBR/2zx0pJ17tuPu9AdoxspXa3PJrO81nw5bTXbrJb20uWwBkt7gnoK9Q+HS22oXr6w1m65UbpF4cg+vb8q5zxd/YOly/Yl120kSdftEaSiXCqeMDCVmeD7y0sHsjb61bvDMZQ+0z8emP3eKc41Yr4dziqNRnZ7HoOuadK2sTXOnAWjwApHLKSxaM8njnnPels/7P1+wTTdUYzT5IkuQQigdh82ASK2NIg0Ke+/s3U9at9wG5WAkZtv4pXKeNNP8ADkitZW+rWYgJ+cuJcceg2Yye9EcO57x/E1quMtloc54j+FNrDpoXSg9yrTK00jyL8oHXaEOMYrzg+BtY1jxSlxM6rp2nqDHGz7d55HGOa+jPBp+G2naHOLjVbNXZtx8sSAEY6Y2da8B8RReDV8VtcJrlrA7EG3VjM4B68r5f9a5aVOrLF8rjZJeiv95hUoRjyyRr6h4GuPFnhNTawyWn2cnMMnRkzzhjzzV3TPB2neRYadGB5Jwsm4bigx90emK7AQP4h8tdR8SWpkcCRXXzEQKvc/Jz9O9Jrcdppki3Wj61aNEqgOQJX3P3IxGcA+laVaeIinGmlf1NpSko8y0exPa+AE0/7JqULH7WWZ3P3I9sZ+X2zitvwsmk+NvFF9catvhfzt+5m4KADge1U/BnjzQ2sdQ07W9YtzJbum7aspZcjOOY+9cb4q8cRanqf2nQtStrO3t4doWQSAtg/eJEVRLD4uSvPf8ArUVaslCLWvyKPinwPo2v/EG4bw7O1lbsgTK/NvdM56da8+8VaDquoLo0NrFOLhUki3SnLsWbAOcV6lpd615ps95ot9Z3E1sPNRYi4lOeZCoZV3YGScZIFZ2ktqXiPxVutpRHBbuCjEk7Oh5z712Sw8oPlmtDqnCnVg3tfodvd6ObP/hG9PnZEaFY7e5wQCZBnOc1yfxP8O3d7rzaokSGC3Cq7E52g8DgdM16LDHaeKdUhs5IluXt7kuZfujeP4ie1S/E/wAQ2WkWtxBpESJuVBOzD7+3px3xXMlGCVldm8aEeSflY8HuLaw8LanBNbPI8ySo0gcr8mCD+P4Vum70K4nv9fubJp7mWdirbcAA9+K4TR7fQPGfiaG71xZHjR1kIEmEG09QO30r3iCO4ulNyIhFapcMsAxnco6HHfitqjbUEpO73OF3STbsb3hHXPD/AIugTwhptmbC4Qb3mYbs7h6nJFV9I8OXmjXd3FeSMyyRvmUOXQkA4xnvU+iaHrsPiga54d+aBl2yIvCZxjk/Wu70K0lksL/QPEMQmXBw+ej446VzSl77ipX9TtppwWr1PkrRJbrwrBPcalMbv7RcAIC+XWQ9OP616XpPiLw+YzY6pEls27zWkdPOy56nAwSa8r8d6Zcz+JrTw4MqyKpCxA5kOfU8frmp7vwVrD3TXWmrK7WyISDkj3H1Feio7XOG0oSTlE73R7G7svFlxe65FJqEihWtp51KgA/3M9MCta6isNc8XXHiaebzLix2jGdxZSOc49KZqukeIr9pdQ8JtMy2USlo5SZA/wAvO3ceMe1eN+EfG0Npftqps2ikkbypwmZAzNx0wK5qza5nDUmpiead57Hd+JfinpNvLPDo9tCvnyBV4PfjA9qTwoTP4ghvphBviAbyo2JOQehzxXFeKPCd7rOopfaXA7WkbB3FshYqB1BRQTmszw5rXhDw54nNlZ2cst2/zNkFQAe5B6H60qSvs+m3UUK/7y8tj7C+y6f4uvJPDeuMscEqb8hiHTd6f4Zr5T1PwZpvh3xUbZLmbZbyE+VIMKynpnnpXaeEvirpWmeI2stYcsZywidhlVI5wD0yKo6ZrVh4r8VO+hWxnkYnE0x5OO2Bxj0rhcpwnaK9Qr1Iu8orUTX7Gzu7wNdJ+5g2Fjby7TzjHSusfUtWl8VrDpsbQWl2oEbSfu1UAYIJPrXPWvhQWmtXt34onNjFOVKRDkfL9feuo0WwvNX1k2VneqbPYXInAZht7AHpn17UqVe0rN/5GMYObl20Os8M/CsaX8R9Cv7eRJpJNTsZHjxtC7biM5XP3vqK/vI8J42KD3xX8N/gzWtK0/xhoXh2acJcTahZPC8yGXavnxgoshPy7vSv7kPCf+rX8K/ReCpKSryX93/24qvBRase5aVjYMV1UNctpX+rFdVCc19wc5PRRRQB/9b+/WTpxWDfg7TW9IMrWNeKCpoA8f8AEy5jYdK/hL/4Lc6pr+o/8FCdb8HxyNHYw6Do1wu0/eeQThs/gor+8fxBAXQ1/JD/AMFyf2Ofind/GXSv2s/hxpM+s6TNp0Ol62lrG001o1q7mGYxoCxidZGVmAOxgMjaSR5Wc0nPD3SvZ3/PU2ozcW7Pc/nAmEbSpb3BKyIAFweTitu31JY7uG38h5GUjggmtTV/CsE2uLfSyrDMVykUrBcHPocY/GtXxBdaT8PbCHVNZ1q3a+nUbIN68Z/H9a+PqOi4LnerOmnRlO+l2b998QdU3QaamJn/AIkxhgO2Ce9Uh4hvZI31ZmOIQd4PPWvLtS8SgeLbHXY3hQOqHl1wSR16816j4m1SO71TTtM0iOGOKQFppNww+Vzgj2Nc0FCm1Cnaz38gtL4bnX/DnxZF4jhFte42yRv5YJzhh0H4mvrv9nb9kHU/jV8O9f8Aitq9p4oEnh/xLF4f+w+GrPTrlpIn08X5vJ2v7m2Cwhj5G2PfJvwdu3JHwd8PPEGhaK0lvfR2z6iHzGnmAqoU+x719VRftEaVoHw7m+Hnj7wZ4U8Z6JrOsL4lS28Rwzym11KK0+wq8JguYNuYCVOQfvEgjOKulOn7Zxcfd7/Ly8zOT3TZuaf+yh+01468H+HfiD8PIdH1fQfE2p2Gk2zwX+2a2udUlaG1W7V7dUiDyjy2MckxjcgOB1HsPwn/AGILjxXqvw6svE/xG8K3cvjjxNrXht7bR9WjvZIptHt3lb7M7QpHcyK67blMotuoZt8gFebWP/BRf4zeHvB2h+H9NsNBhOgr4dCytHeSNKnhWfz9PXyjdm3jVSSs5gija4GC7bgCPBPhF+1v8R/hj4b0iSx0HQ9Sbwhr+o+ItBvtSt53nsLzVYGt7wI0dxGjxTRMQY3Rip5Vh0rvpzw6tCzt/X9f1cycnbyOb+JHw91b4ef2Ff8AimfSb5fEOk22t2GoeHdRGq6XdWk7vEXguVSPzAssUkbZRSGXuCCfq/4E/sVap+0JpPhnxZoWvra+HfEGgeJb6a5NuG+za5oN/DYW+l5Dc/bmmV0l4KAH5TxXxP4Q+KEdh8HtE+GXjjwvZavbeE/D+l+GvDerSZW50+zsb24vLh+4knu/OEDuAirEuApJzXongf8AbU+L3wr+F3/ClfDAtYNEXxfpvjKEMjC4jvtNeGSOESK6j7LLJAjzRbcyNn5gCRW8I0oVWmm420/r+t/kVz2Suz6O8W/sV/EXRfA2o+Jvh9e2l9F4a8LWXiTX9NE7f2rYXNxZJqFzbeQsTI/2e1mhcFp0kl3Nsj+Ubqfin/gn98b9a1O++F3iF/D1p4i0nTH1jUoBqz4020iaJd95ttGdCxmQKYUnRiHw+EY10MP/AAUs+PHi4+ILnWrHRTqWrvrpLGK8WO3h8QxxxXcUUEd2ts21YY1tpbiKaW3QFEbY7A79z+3x4+tNO8O6xpXhrSVHguOZtJso7vVUaCe4aFnaK6W/+0xRfuUUWqSi22FlMZDccc1h4zXLJ/h/k9+r+5djeDvqrHzNN+w38cdT+FkXx00xNIufB9pYz6qt3baj5011pttcC3bUIESHy5bHfys3nK7R/vFiKc122ufsB/HXwj8T7LwzfXfhSR21e60O8aDXftMNjqllbpdy2dyIYGlS6a2cTRRJHLvTJJUiui+Mv7cHx3+Jfw2bwb4yS0u5bkXm6+jlvbQW8N9dG8aJLS2uo7FxHIxWBriCV44yU3NkmuF8Hf8ABRz44+HfE3jfWUs9LvofHWtalrmtwSLdW6CXVLKOxnitpoLmOe1j8qJXRopBKkm47yGIqpVKE1dSdreXz/r/AIYwUlGVmzs9P/Yj/ae1b4i+KvhN4EstJm8TeFbiOG90271Foprn7RCLmL7IRbyJKskJDRvK8CFiELK+QvFXngfxR4P+G/hPxRr9zpD23jHw/a+IbHT4L7z9UGnanC01rc3Np5atBHKFZV3tu3qV28Zr2Xwl/wAFN/jRpvizV/ixHb+F5r7UtZsfESJm8js4dQsNOTSkxFDfIJYjaIoNvcGaJZgJ1AlANfJmmftNWV09no3jmw0/VIdM8DW/gjRT5u0Wf2JI4ra+IZnMt3FErqDlVZ5NxGBivOxFXDVcPKlBvm13a26d7/h+hpCT5rM9b/Zm/Zu8P/F3TNC1bxz4hl0C6+IPie78E+E7O3sUuYptTsdNfUZpb6VpVeC3IUWy+UrS+adxHl5x89fB/wDZt+LH7SNm/jX4TyeHtPtrHVdN0S4PiPVk0snUNZLJZ2kBMMomnndDEigqC+0FgGyOk+C/x7+NvwRmn0vwFYaFf2lvrc/iPRrvVraa5vNB1m6sjp0t5ZMs8cYLWhKmOaOWISBZgu9Tu4b4W/Frxd8D/Clp8MvBN5Z3FvZ+JfD3ieM3KSSSm98NOXtUaTeu6FySJwfmkHR15z6Ua9BSpqLu7a/1r/w3mR7SSegnxu+BnxA+DF3o2g/EM6TdQ6+NSksX0bUV1GHfotytnf28rxogjubS4dYp4vmVWb5XcAkeWw+GBr2i3GPNgisgZBC7EiXttBP516P8Ufi54s8W6VpWlagLPZ4fv/E+p2s0KFJPN8W6gup3wbLEFFnQCEAArGMMXPzV8i6h4v8AiDd3LXdxNcLZbuGY4V29v8K05eabdC9vM0jUV/ePrv4WWmlPOkjLJbXkIK+Wcncp64J9q7nx5d6iqwWugwmUrPklQNxTHRq+a/h547uYfFUMLzsJZVC5nbKAkYHJr3TxJGmkX8U3iDVoI3UbiiTBWyPXB5rxMf7mITqPdbNnoxf7lKK0L2l+EofEPhm4sryX7Lcu25g8bHdg8DPSnro91pekwWt0v2Z4RuwqHhR6Grei+PNEvrtdNtrjz4FGSkbKzk/XNbV7rdvqOoNpstqTCRhZJGO5D2HBxWKrTUuR3a36W+80lQg6ampLta+v3a2PN9S1q6n0/EESrIWI5TcxUdD7VwJvbm/uTau7PCVPJ6f/AK69v1vQ4rCM21jL88ihmixmUj2I4x7V4/rltrRnFhEfs8HQkjbj8T1r0sPGDXn5HG6c7+8tSt4ei+xXN4dPJEcyqhUncQV7/j6dq7qLxHf22jNaySw2Ubf8tG5dj6ewrzbSbKXwfBda1bypdCME3Ac7k8vsR75rik1bSfF32sacrLK5yV6547elDpKcpcmu12ZK8Sn4t8S69qOsJaaTJk5wdgwpA71lahq/ibS7hZJJizxkEuDk5/HmvRvCXgHU9ZQQW87xsgGRjkAdic133/CptRi1+UaqqqZImCHG4ZI/nW3sKUFaVhww7Sb6HOeBviJJ4kR9Bv7Z1M4AefGD8vIP417TFr+g+FdMj1O9iknkOLcqOfkavP8AR/hydAl+3XmoQ22TtZJGHIX69PwrvLnW9H16/SA+QYEGEwwGCP4mxXDiKVKnJKns+z2NIQdNJpbk3i3X9JisLe48NW7ygkM2wEPzjIP0rkdd1XXrjX7O7tHBtZk6SDLDnsR3rtLCwTS5jPE6NGx+9u3Bf5jBqt4uu7RVtbidFJUZ2AbQAO+eP0rni4wqJL3jeDa5uY48eJfFN/dOhijjEZHlyM3Hy+opmsfatXC3F9tALYm2DIcfXsPeqMHjBtXhv9V0NVka18tPLxyOcE1DL4iaef7HEvmM44MfG4+mK7tFJcsTGryS1TNaGDwtZSLYC7FtLMpdgW3MdvQdsCsLV7q4iZhbSIWWMOjL8pBJ6Ed63tCtfDOv21y/i+ZkjtsGPysB89xnHWuTvdZ8L66klhBexWiWxzDLcSoJQvZW6ZPt1pSdt3/XqTyNJNblrQPEniW8vzpUAad3/jJzgd+K6PxLdyJ4NvNJ0qN5boHMrg8x89q4Sz1zRtE1X+0tP1OF7h0MSnzFwQ3B4zVuwubwvcJbTRRSzZaQdmX1Jz3rJ04yk5Qa/wCCCTlG73PO/D2rXUdy0ms3JMOOQ3LM3oK3/DvxAmvvt0s8bRT4MSkjKleQvH0rn73SvAmqszXMk0EsEoXAHBPXIbt9MV09nbXq3rJo+nNdoI+M/KgwOD7mtauHhu1d/kcyjKPwo+w/gp+z5bfEr9krxh+0RrsfizUU8Ea1c6LLYeF7OwuWMdrpMWqG5nN5dW5EZ80QbYd8m4ZC4OR6TqP7IXwSs/G/if4LeI/iLe2fjT4YabBr/jNm0xRolnYQLZz6olndGTzZbjTba+hnczxJFcgMsW0q+z4/uPGXjeL9ndfhzcaTZ21jD4ol8UeaYN1x9ul04aYx3EkBDbADgB938WOK9f8AiV+2D4y+KHhDxHqT+GvDFp4p8a6Kvh7xZ4jTT5I9a1jS1WGNoJZGmMCieO3hjupIoEkuEiRWICCulSwzbjUpvRLr16+nS3z076Sptr3yr8Z/gDrHwB8PeKtV+LdzPZ6lpPj6fwPpFtFAf+JgLK1a+utQWQtkWy2rW5TaGzLN5ZIIzX1pqH7CnxR0TQfhxb2I1W81rx/N4aWaU29mfD2mQeJXPlLcyR3L6gJ4oVMnmNbR2szjyIpfM5r4q+Kvx1+Ln7TOh+DvFXxwubW5f4d6CND0+RYPJkuIZDF51zcncwlurjyYRNKAgZYkARcHPrsX7bvxBsdF0zRdAj0jS9csYvDUFx4itoZTq15a+D7j7VpEF1I0xikjt5f9ZtiRrhAEkJUHOM3g4Saadktv6/z/ABMYKUbSTsen6J+zz+zd4p8R+FvFuk/EubRvAfiaPxPCmr61Z2tjd/b/AAzqUemzwMskxtxFIZPtMLF/Ne3Upt8/Ar5QutPt7PRLy3lRJljaRIpowY0mjViqyKD8yq4AYA/MAcHkGrnxp+Ld58U7jRIrfT9B8N6JoqamNP0nQY5YrOOXWbr7dqE/76WaTzLi4w7AvtRVVIwqrz4/4nn1RvDMVvoErXIC+Sgjb5nHXqcYFcmIqQqSaw3w303v6dev5nS3JLml1Os0SI3elGx02YpFAd4I5HHJGepJ7Vx2sb9DtruaGOS9ursb9h6KjHIz6fWuU8H6h4r8OaXcW2qQvDcOQFVxuPPevStZj1EeFPIlmi8+5hRneM4bnnHuR6U401FuMieeM4uMdLanJeAbOCyuWu9Vb7M8amXyoh8qkep9fauz1CO4vpLe8iuo/LmZsykbdv8AwEcV51pvinQ9EsP7GiuUFxO4Wdp5VwSe5UnisabxP4c02VotW1mBLaI7lLSqFJ9BzRWlGeIXK/8AhiVGDSu9z2DzNNS8g0aa/WJJZY457uOPzCsRYb325G4quWCgjcRjIzmvp3xt8DPgt4C+Peh/BbVfEXiTWfD3ifRPD2qaJeadpVsNTubvxKQtpbyW08wjjG87WPmEglc8ZNfEtt4s8IeItTtL7b9rEBjlFsp/cyxqwbZwQSr42tgg7ScEHBr6V1f9svxb4v8A2gPBXx48GeE/CXh/W/hvYRWOn/2dBdm2MFjbS2tiJ45rqQu1jHM7W4DKolw7hiq476dKO0/L+uheInFNuD2O2sf2dfCXj39t+b9jzwt4pkutD/4SDUPD9rr32VPPuX0q3lknEFuHEZma4t5bWIM6xlgJGOw4O147/Za0z4d/tSeEf2Wr3XNStX8Xnw2pfU7W3j1PTJPED7Ps93DbyyWzXNtwZDBIYX3LtPXHyH+z18WfiL8DdZ0HW/A2ladql1pVzeiTVtZt5Lq61Kzv7FrG5sr2VZUaS2kR3mwhjlFwxk8wg7K6bVvjP4juvjl4J+NWlafpGl3nw4tdB07w1pOnW9wdMstO8NSyTWNsRLPLPKqvNIZJHl3ybjyoAA1jSo2tJa81+u3bf59X+nHGalI+4tC/4Jv6P4j+LfijwM918SrCfwneeHLIRNoGmX13cDxJqN3p8d+YrO8kVdNg+ymed3eOZIixKrjFeWeO/wBiew+FvwT1T41yatrni14Z9Wg/tPw1YWt74Ws7rTNQlsBb39155v7aWURed5pgFtGrou92+Y/G3gn4na/4P0b4jeF9KgFpB8TNWstY1uS3WW1cy6fe3d9GkTRsg8p5LyVJUcP5kQVCeCT6N4R+PGieBfhx4g8I+AvAPhHTNZ8TeHbrwlq/iW2s5l1q+0O9KefbTOJ/IdnEaJ5xh3qihVAI3V11Y4b4VHo/+BpfsbKjazZ87at4Y8QWdi2smVpLZt27HL57D2HrXEaDFY3l+dP1RXK3q7T5fOxeoJ9a9g0K3lmkludRbajo+ImOA270HYDvXWeHfBGj/ZRfwu1tdL9xl+ZcdhjFcjlCC1NHTjNrk3R0fgr9l7wh4i/Z7+IPivTvEuup4w8C+GNW8V3Nn/ZsDaAbbT5ES2s5LzzBcre6gHK2u2JovNV0Icrz9f6/+yH4Q+Dceo/2/wCO9Y1bTfA3iaHwZ45a20eFTZahLpK6nHNpYefE1sWP2V3uSrJLmT/VACuM8NfG3Xh+zZffsseIfCGgavpF9d3OpXGpSxXUeoTXEylEnkkguY4pJLVCEtTLE6wgDALc16hb/tkfGE+PNN8f6l4T8LCa08QQ+K9Q8+wuHi13W7SyGnW19fxi5CvJBbqrRJEIohcKJyhkxjCeNoypunVXvWWuu9+quvLa19dgo0nCpztO39fIu2v7GmgeM/2sI/2UINU8ZzXN9ouh6nZS2GmWH2uyj1kb549ZhurqJIZNORo3uord3lZJAYlz8tfJHh34FaVd6t4rb4hajqdp4d8DaD4k8R6prlhpbyi40vww4ik/s77QYreW4umeMQJJLtQMTJ90g+ofEL9ozS/DvxTi+Nup/DjwXqusT3Npqtm2pQahdR2Oq2k7XC30bNfCaSaSYrJMssrrIyIRtwd3nuv/ALUHxC8JatJ4+8aeIR4ktPENtrlpq/h7XLmafQ7+08RsX1GJ7RZo1h8523q9uY3jYDadu5WijWwrUHLbmd7X17DlFO7b1PQm/Y0+AGnfFzxH8JvHnjzxJpsOj+EZviPa6/Z6TaNpv/CLx2Ed2lxfedMJYbgyyC2aCIOC+HU7SQvEfs7/AAWu/Hvw3v8A4n/tFS6/4K0Dw1FoC3Utlppurme68RXq2Vult9oMEM0ED75biZS37lR5YLutXPEX7Wur/EXRPG/i/VbLQbJPH+m6JoupGyDRKmlaBJ5lpYWqtK3lWnCrKh3mUL8xyTnb8CftQfEHwNp9za+LfK8caFqMOnW//CO+JnudS0yI6Zcreae8MYnjMBt7hVdREyoy5R1YbdturhpVIxcNF19b2W/z39CYU5PWLsfTfif9jnVNF+G/i/UdavtX1vxJ4G1nXdIudN0OOwkght9FVHS/u0nuo70Wk6urH7NBO8QPzjgmvPv2f/2YNH+NPh7Qbvxh4hu/Dt94z8VTeD/DMVlZLdwS6hb6c2oNLfPJIrQ2hAS3UwhpDM4bHlgmuC0748eOtB8S6v8AFfVfCHhTUfiLr82rTTeNp7KRtatU1xHjukt284QR4ikeGFjEzQxMUG4HNRfCv9oz4kfBHwvDpPgrSdH1X+zdUfxBod7qdvJcy6Lqpsm057q0KTRqJDaMYwkqyR7gsm3evPPGGG9opJPltqr9dfP/ACWxcoyloz3Zf2Ybm6/ZptfjJoj61/aNv4T8P+NLiO709I9DFpr909otnFqXmEPf2bAPdoyiMKwCnIJGL4e+DPgCy+DXxA8YatrFx/wmHw7u7G1vdMhjWbTpE1S8ayjeO+RykhEiMcRoVCgHPzCvkHwZ+0F4xsPg3Z/soaVZWVj4Una0TVZxNfT3mrJY3AuljnE109tEs0qg3ht4I3uwFErYGD7P4b+Pk1l4e8ffBzwl4E8JRaP4zeB5G+y3UbWS2MhuLKGzWO6WOGOznJkgV0kwxwxZeKyqvC7QbXu676Oz1++2mxEcVJu0l2PYL79nXwte6h8N4vA+vTeILb4iaZeXMbavax6V9mnsbs2kseXkcCLepKSOwyMHuK63xX+y5pfgz9nXQPjZpt5qV5dastl/aH2aOzl0nRftt6bQC72XBvkIA3h/s/lsSF3AkV4346/aYit/CvgLwzqHgvwmkngYTR2qx293JHcQXLtNPBeLJdv5sc1w3nSbPLYyAYIX5TxXhL9p3xZ4b8MMfBvhvw5oOq3sFpb6h4jtrGc63fw6fdR3sEcksk7wopuIY3lCQjzgiqcAc4fu5c76W0t3str7633a0YsRVU3y7vq/I+qv2pv2RbP9k+PStSvNQ1a4ur281eAprNtb2ss0OkhMXlt9lnuF+w3JcGETFbhf+WiAk48m+Mn7PfhL4a+PvjFoXxD8S6o3h74NW2hXs9xpNlDNfXya7NFERHFNKkSNCZQRufDAc4riPi9+0jrPxy0BPD58N6HoFheazqniPVLfRrWa2S81nWU2Xt7M000x8yZcjYhVF3E4JwRQ+K37WPi34ueD/Euh+JPD+gWU/i+HTLbxTrtlayR6rrcei4+xCdzM8K+WVVnMUSeaygtgAqeqapc05QVlvH7pKzfq0/kyZNO0YvY+uNa/Zi/Z9+FVh4h1/UfGPiq70nw6NBs7tv7Gsjc3F34ks1vrWKzAuRGGhgYvdST7UUKBHuJ4+Qbb9mHxb8S9W8XXXwZsNd8UaD4a0zUNZh1NtEuw95FYmDdaxpAkqrfuZ8R24dmkCMyjb0u/8Nk+PdVv9d1TxL4b0PxHo3im30e11HRdRt5/sUp0CBILG4jMU8c0F1EicyxyfNuYFSpULlaH8Z/iXoUXizxT4CmXw3beM9IvtGn0vSJ7vT9O02G8EAZ7O3huMQTr9nXypyWkUs53Esar2eH503FqN3tv1tvp2+779Yp7PWx9A+Cv2V/DF78PLC3bUtSsfFuvWPiy/wBJsJLMfZpP+EOYJeQXk0kiy2887iVbcJCyL5TGUgsqnyLxV8G/DF5N8KNU+C3iefXbH4p6df3lvJqsCaMltLp119mkRjJIyCIsCUkkYbsDjLAV4voH7W/xA0D4d3nwvt49LmvFs9fstN8RSxPc65pFv4p2/wBrCzuGm2ZumUPvmileNyxU4bA9Vg+P/hz4oeD/AAJ4Oh8C+B4tJ+HYuIbK3e1uDDeW92zSXNvdpJduskUtwwuXCeW3mouCEBU1yUOSzetlffdWv1t36dtL3voql7x1Pe9H/ZPtviB4L0+b4eeIZpPG+u6B4a8YNpdzZrFYHR/Ed8LC3Aug5l+1Q70nnRognltsQlwSPMP2jv2eNE+HWl2Hij4ea3f+J9Cm13W/Ct+17aLYzQ6poMirKY1SSRWtZ0bzIGYiRVGJBuPHawftCeKvB3w10jwdpFvpqanZ6XpOjR6/b2zrrMulaFdm+0+yafzDG0MFwdwxEHdQEclQc+e/tC/Hzxz8aPB6RtpOh+HtMtb7UdVuLHSreS0iuNT1eRZL27k82aQmaZ1HAIRBlVUA1y150nT5acXey1e1769e3y7WFVUtpnC+BtHuoLnTLuJk/cXcShIznAdsHn3HBrc0h/D9peJZh/JnuJPMEanCkg4GfavOvhxe20EttY290st217bMIY5VLIoYbsjOa574W202s+P7uaR1P2XfKUZskkMRt54H6V59fSlG8k9/nsdFGN7LufZXhzw5YXUt3f8An/LcoIuOFRlPP1H0ryvxxBC9vc6V4ftYb9rRgpac/Kd3PQEE4q/d+JZ9N1618MzzxafbMzSLFvBMhYZODnPHeuM1zxBpOn+Lri00GT7a8kTO23aRgDtz+teVHmdTmk99kmdctKbjFW8zgfEujLJYWUZjFrlQsm3Kkyei+31r1fw7rNpZ6bbQGKRY4zgbjn5hwSM+tfM/iTxjrWsyta6ZbmTYMBS4kYP+fFdNqPjHWtA8N6bZ3tzbM9uzvJHNIob5hwCMjpWlTFRvaMl96ueRNO7cnovzPqOz8UXtvcrpEH7uR1c+UowGPbNdFpXi6LR9IWbWrMfbkkAk+bIdvpXwfrv7Qdro7W8tvfW5kkUmRllXC+w5rs9M+I8OuWdtqt1dx+TOwjDBwylvcgnmuV05aSla99yXi1KUYQevVHv3i/xDp97FK2m2scryMZGJcKyE9hnsK7TwRr0lh4avJtQvIZoY1Uhtu4n/AGcDk4rxbxToWgWPh+DUkv4wZstEFkXLN3xzz9DXzdffEGC31RtEsdRjj2su1kkUAn04P511ycZw5VO9jatiJUpLmWj6Hv2v/FPxj408SPongm+jtbeIMZtq7Qu3nnIzzXSeAbrRLmOe58U6ha3TQyB5JLJfnUr2KsAK+dxqd7earPp15DDpU14cNdwAM8nGMDBBwe5ro/h/8PtN8N6pdJda3HFJcIUCufMbYe4wevtW3JCMebmSM6cI1HzcjPrLXmu4oV1nQXS0JUPuQ7WkiPQso4JNeYeJpL1rT7ZpVzpkt3fKUjZ4lDbl5PucVz+q+INO8FaJb32k60s935rRzrcEBRCv3cZrznxx8RPB2r6PDrcWoaZF9iYlx5+07n45x0zSjODqKz8r/oVKcozvDRf15ENhpup69bRWOq3dhLHGznZCFieNvYZPXvWx4TvLDwrM809oLOQZzJG6lCe3A5rzHR/D93qFkda8J6hpr3EhDiJphu2fxEcHIArrNBmddE1bxLrMVtPa2TGMSqQ8bvtyPYDNaYuKlB2enqiK9qtlf3v68iXV9aXxXrYvtZkZWiUsJY+jY7Y969F8Da1ZTtNq1xIxt4ImCoeC3+zkY5NfEd98cbTRNatXb7MYrzBkhjkU5B/u8/pXvPijxt4a0zwbDLa30dtbTyC4CTttKuR90dOn5VzfVmormW+y/wAjKmpOVla3U9x0T4i6VqvxR8K2OnWzJGdX0wBG5KubqId/TNf6DnhSMhVr+Bz/AIJm/srfE39rb9oDw74i0+xvV8J6HqkGpanqs0LR2gitXEixRSEASySOoUBCwC5JI4z/AH9eHLYqAcYzX6LwdgpUKNSTVk7W87X28tSqtTme1rHrGmA7BXUw+ntXO6dHtUV0UIxX2JkT0UUUAf/X/v3blTWdcJuBFaVV5E7UAcDq1pvB4ryPXtE84MrLkHivoO6tQ4PFcpe6QJM8UAfFus/CfwjczNLNo9k7E8lreMk/mtcZcfBzwYx3HRLA/wDbrF/8TX23deHg38NY8nhhCfu0rILnxk3wa8G9tFsP/AaL/wCJoHwc8I/9Aax/8Bo//ia+yP8AhFlznbTf+EWXstFkB8b/APCmvB+c/wBi2I/7do//AImnH4O+ET97RrE/9u0f/wATX2P/AMIsuPu0f8Iup520WQHxx/wpzwl20ax/8Bo//iaX/hT3hMDb/Y1lj/r3j/8Aia+xf+EXXP3aUeFl/uUWQHxz/wAKd8JDj+xrL/wGj/8AiaQ/Bzwk3/MGsf8AwGj/APia+xv+EXU8baX/AIRdeu2nYD45Hwe8Jjpo1l/4Dx//ABNA+D/hMf8AMHsv/AeP/wCJr7G/4RZP7tJ/wi6/3aLID47/AOFP+FDx/Y9lz/07x/8AxNN/4U54R/6A1j/4DR//ABNfY58Lp/doHhZe60rID42/4U14P/6Alj/4DR//ABNH/CmvB+c/2JYf+A0f/wATX2R/wi6/3aU+F0x92iyA+Ov+FPeExkDR7L/wHj/+Jpo+DnhHP/IGsf8AwGj/APia+x/+EXXrtpP+EXXptosgPjn/AIU74Sxg6NY/+A0f/wATSn4O+EeB/Y1jx2+zR/8AxNfY3/CLpj7tH/CLqedtOwHxv/wpvwh/0BbH/wABo/8A4mg/BvwgTzotif8At2j/APia+yP+EXXP3aB4WX+7Ssh3Pjhfg54QU5XRrEfS2j/+Jp3/AAqDwp20ey/8B4//AImvsT/hF1PG2g+F067KLIR8eH4QeFM5/sey/wDAeP8A+Jpp+D/hM/e0ey/8B4//AImvsYeFl/u0n/CLqeNtFkFz46/4U74S6f2NY4/69o//AImmj4OeER00ax/8Bo//AImvsg+F1H8NH/CLKeq07AfHI+D3hNTkaPZD/t3j/wDiacfhD4WPJ0iz/wDAdP8A4mvsP/hF1/u0p8Lpj7tKyC58cn4OeEj97RrE/W3j/wDiaaPg54QB/wCQLY/+A0f/AMTX2R/wi69StH/CLqOi0WQ7nxyPg94TAwNHsh/27x//ABNKfg/4UPXR7I/9u8f/AMTX2L/wiy4+7QPCyn+GiyFc+OF+DvhJfu6NZD/t2j/+Jpf+FO+Eh/zBrL/wGj/+Jr7G/wCEXXP3aB4XTH3adgPjn/hTvhL/AKA1jz/07R//ABNRn4M+Dj/zBLA/9u0f/wATX2V/wiyn+Gj/AIRdeuyiwHxt/wAKZ8Hf9ASw/wDAaP8A+Jp3/CnfCIHGjWI/7do//ia+xx4WX+7Sf8Iup420rID45Pwc8Inro1j/AOA0f/xNKPg/4UXpo9l/4Dx//E19jHwundaP+EWU/wANFkB8df8ACoPCgGP7Hssf9e8f/wATSH4PeEj/AMway/8AAaP/AOJr7F/4Rdem2lPhdQPu0WQHx0fg/wCE8bTo9kR/17x//E03/hTvhHr/AGNY/wDgNH/8TX2P/wAIup5K0f8ACLqOi0WQHxwPg74R/wCgNY/+A0f/AMTS/wDCnfCfT+x7H6fZ4/8A4mvsb/hFlx92kHhdT/DRZAfHX/CnvCZ66PZf+A8f/wATQfg/4TJz/Y9l/wCA0f8A8TX2N/wi65+7QPC6/wB2iyA+Nj8GfBx5OiWGT/07Rf8AxNNPwY8Gnj+xLD/wFi/+Jr7KHhZT/DSnwuv92iwHxx/wpzwiDxo1iMdP9Gj/APiaB8HPCA6aLYjP/TtH/wDE19jjwsv92k/4RdT/AA0wPjr/AIU94SHA0ay/8B4//iaX/hT/AIUHTR7L/wAB4/8A4mvsU+Fk/uUDwuuc7aLAfHJ+D3hM8nR7L/wHj/8AiaT/AIU54R/6A1j/AOA0f/xNfY3/AAi69NtKfC6gfdoA+Of+FO+Eh/zBrL/wHj/+JpR8H/Cn/QHsuP8Ap3j/APia+xf+EXX+7R/wi6jjbRYD47Hwh8KjppFn/wCA8f8A8TS/8Ki8L4wdIsz/ANu8f+FfYY8LqP4aT/hF1P8ADS5V2C58dH4PeE24bRrI49beP/4mmN8GvB7/AHtFsT9baP8A+Jr7J/4Rdc/doHhdf7tFkB8bf8KZ8HdP7EsP/AaL/wCJp/8Awp/wnjA0ay/8B4//AImvsX/hF1P8NL/wi6/3aLID46Pwg8KH/mD2X/gPH/8AE0D4P+FAMDR7Ie32eP8A+Jr7FHhZf7tJ/wAIup/hosgPjr/hT3hIf8way/8AAaP/AOJpf+FP+FAcjR7LJ/6d4/8A4mvsU+Fl/u0Dwuufu0WQHxyfg94TPJ0ey/8AAeP/AOJpf+FQeFMY/sey/wDAeP8A+Jr7E/4Rdem2lPhZf7lFkB8df8Kf8KD/AJg9l/4Dx/8AxNIPg94T6/2PZf8AgPH/APE19jf8Iuv92g+F1BxtosgPjofB/wAJ/wDQHsv/AAHj/wDiaX/hUPhUDH9j2WP+veP/AOJr7E/4RZQPu0n/AAi6H+GiyA+OB8G/CGeNFsf/AAGj/wDiaUfBzwh1Gi2P/gNH/wDE19j/APCLrn7tA8Lr/dosgPjv/hUPhbAH9kWXt/o8f/xNI3wg8KONraPZEe9vH/8AE19if8Iup420v/CLr/dosgufHC/B3wijb00axVvUW0YP/oNOHwf8KDJXR7IZ6/6PHz/47X2KPCy/3aT/AIRdf7tHKuwXPjpvg/4TJydHsj/27x//ABNH/CnvCX/QGsvT/j2j/wDia+xj4WT+7R/wi65zto5V2C58bj4N+EAcjRbEH1+zR/8AxNDfBzwg3LaLYk+9tGf/AGWvsf8A4RdegWlPhZf7tHKuwHxofgv4N/6Alh/4Cxf/ABNPHwb8IBdo0axA9raMD/0Gvsf/AIRdf7tKfC6g420WQHxx/wAKc8I/9Aax4/6do/8A4mmf8KZ8HDn+xLD/AMBov/ia+yv+EWXH3KT/AIRdP7tHKuwHxz/wpzwif+YNY/8AgNH/APE0v/CnvCWd39jWP/gNH/8AE19jHwuv92geFl/u0cq7AfHDfBzwk33tGsT9baP/AOJpg+DPg0DA0Sw/8BYv/ia+yf8AhF1/u0p8LoP4aLID44Hwc8IA5XRbEfS2j/8AiacPg94RClP7Gstp6j7NHg/+O19ijwsv92j/AIRdT/DRyrsB8ex/BnwVu40Ow/8AAWL/AOJrpbH4P+Dcjdotif8At2jP/stfUK+FlH8NaVv4bVT92jlXYDznwz4WtdNhS1soUgjT7qRqEUfQDAr2jRrDywOKkstGWPAxXW2dn5eMCmBes4sAVrxjAqvEmAAKtgAcUALRRRQB/9D+/ikIBGDS0UAVnjPeqclsD2rVphRTQBgvYqc8VCdNU84610flik8oUAc2dNT0pP7MWul8pf8AIo8of5FAHNf2YvpS/wBmJ6V0nlD/ACKPKH+RQBzf9mLSDTF7iuk8oUvlCgDmv7MX0pf7MT0rpPKH+RSeUKAObGmL6Uf2YtdL5Q/yKPKH+RQBzX9mJ6Uf2YvpXSGIUvlD/IoA5r+zFo/sxfSul8of5FJ5QoA5z+zFzwKT+zFrpfKX/Io8of5FAHNf2YvpS/2YvpXSeUP8ijyh/kUAc3/Zi0g0xe4rpfKH+RR5Q/yKAOb/ALMSj+zF9K6Pyh/kUeUKAObGmL6Uf2YvpXS+UKPKH+RQBzf9mJ6Un9mLnpXSGIUvlD/IoA5v+zF9KT+zF9K6Xyh/kUnlCgDm/wCzFz0o/sxa6Xyh/kUeUP8AIoA5r+zF9KDpi+ldL5Qo8of5FAHN/wBmLSf2YvcV0vlD/Io8of5FAHN/2YvpR/Zi+ldH5Q/yKXyh/kUAc1/Zi9xS/wBmJXSeUP8AIpPKH+RQBzn9mLSf2YvpXSeUO1L5QoA5v+zE9KT+zF9K6Xyh/kUnlCgDm/7MXPSl/sxfSuk8pf8AIo8of5FAHNf2YvpR/Zi+ldJ5Qo8of5FAHOf2YtJ/Zi9xXS+UP8ijyh/kUAc1/Zi+lL/Zi+ldGIh/kUvlD/IoA5r+zF7il/sxK6Tyh/kUnlD/ACKAOb/sxfSj+zFz0rpfKFHlD/IoA5v+zE9KT+zF9K6Xyhn/AOtSeUKAOb/sxc9KX+zE9K6Tyh/kUnlD/IoA5v8AsxPSg6YvpXSeUKXyh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"\n", "Figure 1" ], "metadata": { "id": "BDRuQ8Qh-mVU" } }, { "cell_type": "markdown", "source": [ "\n", "* **Step 1: Open Stellarium**: You will be located on a green path in day or night view. In addition, if the location is activated, you will appear just where you are.\n", "\n", "* **Step 2: Go to Jupiter**: There are two ways of using Stellarium:\n", "\n", " * OPTION 1: By using a **script**\n", " * OPTION 2: By using the Stellarium user-interface.\n", " \n", " You will be using OPTION 1.\n", " \n", " * **OPTION 1**: By using the **script** below; this means using a set of instructions written in a programming language.\n", " * Open a console in Stellarium by pressing F12 (Fn+F12).\n", "\n", " * Copy and paste the **script** below on your black screen (console):\n", "\n", " * Click on the play (▶) buttom.\n", "\n", " * Check that the view on your screen looks like Figure 2.\n" ], "metadata": { "id": "aCoXzdMFKkZA" } }, { "cell_type": "markdown", "source": [ "**script**:\n", "core.setObserverLocation(\"Madrid, Spain\");LandscapeMgr.setFlagLandscape(false); LandscapeMgr.setFlagAtmosphere(false); LandscapeMgr.setFlagFog(false);core.selectObjectByName(\"Jupiter\", true); core.setMountMode(\"equatorial\"); core.setTimeRate(3000); StelMovementMgr.setFlagTracking(true);" ], "metadata": { "id": "5b8r0v7lriOP" } }, { "cell_type": "markdown", "source": [ 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)\n", "\n", "Figure 2. Stellarium" ], "metadata": { "id": "nvj96E26l5Bt" } }, { "cell_type": "markdown", "source": [ "\n", " \n", " **Note**: In Stellarium we see the jovian system as seen from the Earth. Its moons actually move in a circular movement around Jupiter, but we are viewing the 2D projection." ], "metadata": { "id": "uJexhDAoLtTU" } }, { "cell_type": "markdown", "source": [ "## **Activity 3.1 : Calculate the orbital parameters of your Galilean moon**\n", "\n", "#### **Calculate the Orbital period**\n", "\n", "\n", "To study the orbital movement of your moon you need to check how much time does it take to the moon to cover a complete loop. For this you need to know how to use the basic time setting, which is located at the bottom cursor of the screen:\n", "\n", "\n", " * If **you selected OPTION 1 at Step 2**, slow down the movement of the moons **by pressing twice the rewind icon**.\n", "\n", " * If you selected OPTION 2 at Step 2, start the movement of the moons and/or move it forward faster by pressing twice the forward icon.\n", "\n", "We can consider **the orbital radius** of our galilean moon as **the furthest distance between Jupiter and the moon**.\n", "\n" ], "metadata": { "id": "TcCmp5IQLtXS" } }, { "cell_type": "markdown", "source": [ "Let’s calculate the **orbital radius** by following the steps in the procedure:\n", "\n", "1. Pay attention to the “date” and “time” parameters in the lower part of the\n", "display.\n", "\n", "2. Select a starting point, when the moon is further from the planet, and write down the date and time. Information of time is given in the format YYYY-MM-DD hh:mm:ss, where YYYY stands for year, MM for month, DD for day, hh for hours, mm for minutes and ss for seconds. Write this time in the Table in the Student guide.\n", "\n", "3. Watch your moon to make one complete orbit, what means passing by the starting point once, and note down the date and time when the moon returns to the same position. **Note**: Use the same time format of YYYY-MM-DD hh:mm:ss. Write this time in the Table in the Student guide.\n", "\n", "4. Execute the script below and enter the initial date and the final date in the following boxes for the calculation. Write this value, in days and hours, in the Table of the Student guide, which will be **the orbital period of your moon**.\n", "\n", "What value did you get? " ], "metadata": { "id": "YTxmvWq7LtPi" } }, { "cell_type": "code", "source": [ "from datetime import datetime\n", "\n", "def calculate_time_difference(initial_date, final_date):\n", " initial_datetime = datetime.strptime(initial_date, \"%Y-%m-%d %H:%M:%S\")\n", " final_datetime = datetime.strptime(final_date, \"%Y-%m-%d %H:%M:%S\")\n", "\n", " time_difference = final_datetime - initial_datetime\n", "\n", " years = time_difference.days // 365\n", " months = (time_difference.days % 365) // 30\n", " days = (time_difference.days % 365) % 30\n", " hours = time_difference.seconds // 3600\n", " minutes = (time_difference.seconds % 3600) // 60\n", " seconds = time_difference.seconds % 60\n", "\n", " return years, months, days, hours, minutes, seconds\n", "\n", "# Prompt the user to enter the initial and final dates\n", "initial_date = input(\"Enter the initial date (YYYY-MM-DD HH:MM:SS): \")\n", "final_date = input(\"Enter the final date (YYYY-MM-DD HH:MM:SS): \")\n", "\n", "# Calculate the time difference\n", "result = calculate_time_difference(initial_date, final_date)\n", "\n", "# Print the result\n", "print(\"The period of your moon is: {} years, {} months, {} days, {} hours, {} minutes, {} seconds.\".format(*result))\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "RyqJRIUYczng", "outputId": "8e8bcbab-9c41-425c-e0dc-4050400f953b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Enter the initial date (YYYY-MM-DD HH:MM:SS): 2023-05-11 11:10:30\n", "Enter the final date (YYYY-MM-DD HH:MM:SS): 2023-05-14 11:10:00\n", "The period of your moon is: 0 years, 0 months, 2 days, 23 hours, 59 minutes, 30 seconds.\n" ] } ] }, { "cell_type": "markdown", "source": [ "#**Calculate the Orbital radius**\n", "\n", "**Step 1**: Configure the plugin “Angle measurement” in Stellarium.\n", "1. Open the configuration menu, on the left menu or F2 in your keyboard.\n", "1. Check in Plug-ins that the functionality “Angle Measure” is enabled.\n", " * If this is not the case,\n", " * Select the box next to ‘Load at start-up’.\n", " * Restart Stellarium\n", "\n", "\n", "**Step 2**: Identify the orbital radius\n", "1. Stop the movement of the moons around Jupiter by clicking on in the menu at the bottom of the screen, or K on your keyboard.\n", "2. In the same menu, click on, or press Ctrl + A, to enable the “Angle Measure”\n", "plugin.\n", "\n", "3. Measure the distance between Jupiter and your moon:\n", "* Click on the centre of Jupiter and then without releasing drag the cursor to the centre of your chosen moon, as shown in the Figure 3.\n", "* Repeat your measure as many times as needed to be sure that you are comfortable with it.\n", "\n", "**Note**: The calculations are only valid if the measurements are made from the centre of both objects.\n", "\n", "![Captura de Pantalla 2023-07-07 a las 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lJSsR9YrKS5/qAy3TIE45hEfnxw4euRcoKpij9VBPBgASBJoOHKe+6jA/n0nAtVVXhmQ94f68efw4r5HrW1NRHF5cde4Tece2dM1PlNrfEbXcG5FnmH/u7D6nsI7rPEz2bp6sXIAK/2MbIgmJkbcqZPvuNt3rgBe2IkOqAfEXjHivUzX+OC627u7wd29d904lvS0THfl6udwUG3u3Xd+iSgs4PLzChATZriS4lrACl1uEfFYcXGl++7Kp64MZF8qXijuNV51NTX7EAV2A6hIA0jxlonlBrg/eXwvoj6JCm+BLDzmBga7AF/8GS6uBh3ZYXfhwmfuxPG30YmNIro7wvhfUVYLd1dqIsVSrico6xtodWdOYYMFx3f7jmy6pgwdmJiQga3XIXRX9+H6KhA95mDzdQkQRQLt7/G8OpeWlmzixqMNZ9zUzCjgjXbuk1wtAIz4hBjaFdHXInPrBkE4aFD3R7prMj7Vun2BXvRMriGtsdoaegpVeSG3KzT7TbjYgj3dhFltwy6e30at6RldU6Xttq2r7+nquZs798dtl8rQSXm++6TzWASCXlRcDoChDFMkYSoWAS+U2iEufU9BfjmAiRL0UymGwktMSjBY+uH60+43//FfTQ9UU70HMdyEEbbikkoz6N2987DpkxbpoxriF5+QZAbCeYgOZR8l26uqihry4yFsiwAl9pgoTgTj7t3rEJM8dFIFzKXERHyD6KCq6KekpBpAxKKLxe6ppLQMMSHuaEFiCHyRmJTkxkZH0FtlmE1UeVkdIsRcc5Qrl0/5BspIBhAyAzHutfwjR04z7oJrbW7FNVOx++67L+zTCLg5iLgAF1EQ5RY8ciQzzwCgjW4TdT6SSFnryEtkByI7ENmByA487Q5AiTxa6elXIFQLk+iSmuEU2s1uSoSqCxReTk4+ehi8SiTI63k7dZoAN8TbuPJI8f23f2nw84HBQXRLmXAYeETH+DY9PRO7JeydGCYZYIQAE4uLs64SB7VmoAsqMDMjw81hlOt5hZBh76TB0TWn2Ngkxo0xyHtvX6u5V6qu2Qm9WGB+M7SDSMVDNFFqyb/g5NQQ4yTh5HbcOB8RnZrqfYAyUm09qakpEC0BIqLg9lrgHseZb5atYxrimpKS4f7TL/8BO7EROL6dQOhr3O6dh6yenODWwgXKSLi3t9PaSK8l/ZSMh5Xk9V1J3txle6YkQ2ONpyQjZO+eHNrIXstPKpPXDK3F//PLnsm7N8UtG2qLu9+yeW+o41dy0Rvasefa+JX8uLZ40RvtPmTM6z8Z4pi+u/wVRGHA7IkESIgFjXcPMZ84inv3rpqh7OjoEFDxAa6HObA74HLy3Y1b31FXhCnNffPNZy4vP8c4nw8+/GcOdtwrTY3Ced2Dq4pxN29dBNjQY6g8wdsvXPwcBF2sm8KH4KXvPjOiNgCCcHi438Rr/f2diPe+geBNYUDcYQTq1s2LuGFKgaMqdY2IEVta79jcBgd7Eem1QADgfLrbWdoiHNkV7Kk64Qrj3bcXPwFFOGjET6AOgTaGhgbwLdiNS6Zh+owFRj/O3CZoGzADZRk1t3e0uNQ0uXhqwentA9YaZ5yXOFCp9AwxyDU6NkSMc8DyFxkvCYDFjNUV4RHR1J+8aChfXJjQjPKAIc8ZKlMSV7gtYfJreeLWUsdW+eq8bHhLNtzBWvb6mQyylolsTZ3nsrznMujW7N9z7FWsVCA6ygNOwAMAYvAADcpf+ZeVXbgsDwK27D4nJyd0n52dGUhISgvdh/eVnl6war7qpKZkr1pWUFAayF4xPrZbAQx0Q/WxrQpkZeWG7v0xY2KTAuiuQvkxsRmha9XJz/fK0lJXH1t18AsYapORoTG8taNvC+XHxiTZdVZWfqAEAIfa4QU+VJ6dnc+9B9yIjk4MIMK0Mlw12XtpSVUgNS0zVN8HtPjr2G7vfAVDc91uc3tR5xPZ08gzteXP7gsE0hGZ1yEDdwOkGndC7777d/yyT4Vj+g4P5QUuG08Nv/nNf3Gnz7yDA9gqbKOmzXPExx//uzt48DV35cplV1SUhxeJSpzBfgZHEOtOnDxjYq2Z6UmACDlwLBjStgCG2HfC9eJFYo7giXKjdPv2RfqscOlEA74Ad9Padt+9/dYv0GdluTtwPhA8uLqv0QElIZrrBGRxGvEb3jCwc8rEJqu/r89d/u5T9+ZbP2G8aPRfQ4jodrsL334ERzXGvMoRHc7C1cywvlgHMtD19sNZBWIsfEhr22337bcfu5Mn3jZgx42b35on91zW/G+//i/4KjwNF9XjCgoL3OzMjLt2/QJQ+CI4xy539uwPmWe6+93v/5v7/vf+hh2MQpTZDOBkl3vQ1Ejb43jV+Iq1xxJ7a5frkW0Wkr3JiSnWXg1X1oyYMxfxYipc5bcASq67H733D8bV/e7937h33nkHTrPTffXVJ3ChKWYgrc9p+6bQo7R9pxiZ2Su+A5FndPMfgK3f05C4LxrP4hI17SZcfFoagQsRd2VkZJouZxR/d8XFpYjYFtzvf/ePxJg67HbubDACU1lZjrit0sRbzc23yZfvPcWVEu2bd5/+9X363E+fmdg73cVuqgAvFfkQtE/cgQOnADcMAVoYNIezrW2tbkftLjvAs7JE3ABBYDgsojY5MefaQeXlgSBMwnYqJS0LIITn6kgGvUIRdnY1QVjzICjzEKs65lWFHVcR88l2n3/xR7xdJEMYpC+LpR/5Gew1sd3h+mMQxauuHDuqOwA1crH3ImSWO3z4NH22GFhkDG8Zx46dR5e2G+8XXdhljQAUKUCMeNNAHUUYHTdCaAIgOSWizM3NtejE6YwnMWAhYJQHTdcg6l8jBi10Gcw/Fh1fakqW6e3uIkYtK6s0L+7z6AW1JxpzcNCz9ZLua2uTHrbNTZvf4+bO70XsLbKnm/+pvdp7uv1Wv3JGnrafz91HqAnwMAQwooxDP12AAg7r4w2vk9cLFDDOHTp41sWiL0lOSgTuPWA+9uLRzVyHa1CSfkcEyjPKjXP/6Rf/K4a7Xeh6hkDUlauGm8dAtqx0l+mjEhKSjdsSgdQhLTdG+cDep6emQBDGQCzFuU3gCmncnTrxjsWbEnc1OzOC0a64uBKIzbBjSm4UlF5rc6Orqqyxvju77gBHbzLQxRvnfgoBPGqcWQrgCblYkvGwNmBhPkA/1cxrEeQifgZT84Gk34JI9OFf8IyLAeDQBoGNRccl3ZPC2ael5LjkRAEuYpkfwBDGn2TOX3/9CaCP2+7q1QuuFDdSd+5cxfVTlIFHbty44k6f+oErKapzf/zw/zP/iEI0am8Ud+vjP//WuL5y3FBdv34RbvaWoQel39qKxJTDkjHUYfcbv9z8Hjc+p63uYfmebv5or9qebvV+6hN6tfd0+61+5YxCnBQqe/tGpRLD6a+f/gGOocbdunOJ698iJtuLfdQNDu8U8zDR1HwH10mXgH0Xu86OB4iipuGgdlscqdHRSQ7nSovsK0/n8YAkFGX39u0rlt/V2YztUZtF3/3ssw9BBGbCMUW75ua7XKcDtJiGs0iF67gDd5XNAY4jW4hJH97WhbZT3XkAB5NECBbxmscWS54kBMJYWJxzVZW1ADiuQECHIQyqN2FgiBQ4MrlrWlichpgNIWZLBGhxz0AXPb29cGLFEJZvjTtKAxyxMD8LV5NsHifkNf3Bg0YDW3R2MX88adTV7TY7rwUg7OXllRC9AcR2lyBkifRVgmiz3rW3NcMRjZjXjeuICgXSqMV5rzhE+TqUe6kpwCQ3b12GKy0Geg88Pz4OceWXfBaLhiKcwfu8UX77dF60l40fMRvv4VF7tnU9P2rEzcnfzvPeznPbnN2P9PJsdiD8SdI1hMt722icJcV6WuBXfwI+//Yi4rsEYu9pUwY+ARVq3k+ChsvY+Nml4NaEDahgi0I/ZmIE7MfCCivekkshCLeKk9qSCUc6jexAZAciO7CJOxDipGTro6CB5879xO3a1QB3NIlH8338uj+Ev7s76I9OuEOEe9+JYW5aWrrFmcrNLTGjXM1HhrXjFkE34A4fPO4uXvwMjigvFBMqK7PIYN3JyYJeE9oDEEMxvvaEuJadVRUeHUDB4f28Cy6s0PQ6DUfPGtwbWAdtJt3ePUfdiWNvo8uJNzurQCDOdDdvnPuxq67cDYfW4s6ceQ+j4xL0X00YAWvMSXRS+XAsE+44AImqyh04mW103wPsIE5N0PLD9afwtPEeeqRCdFZ5xK06ideLGwA3CrG5SoW7Kjbnu32AN5JTEuCoxggHcg7vFQ1wWDexwzqIKPJ7iD773GliVk1OTrrjx9/CG8YO+sthzt+DuHl6M83tyOGz6NVS6bMS8MkZbKqwPcMw+MD+064ew2iFRDn/xg+NgxSEXhGPpQ98sZOI/hamtXS/ljpbOMWXsuvInm7+x/pS7enGFxPrc1G+TioNpF1SUiYitDrzgp6Z5YXZKCoqQ/yU4G7cuEhMpgMcspl4p6hEDAdqjV/78jbegeivCnRbbm6BuTXataseItMMOCAbd0nZiLW+svZnz74HUasBJddKn1nuJK6YFN5DRrJAuyFAe9yD+1exSUqCGLzGoS+R2BV34+YFRGfZeK2oQWSWimHtQRB0nyJGG3C7GevokTddJei/K9e+JHSHxgCNiEHwHGK/r776s405QhiQ9IxCwAslhA7xOLVLeJYA2s748YgZO11tbbWroJ9jDW+YW6YS1jmLfdb+fSctKORHf/5nRIgD9FdqD2hlZZ1LS88wz+2o0RBL7sAuSjZRjr52mk2UdFey0Xrw4C7l+xAJEv4ErhM4OoTWA0eMINrcuXMneq9k9Fgy9NVvCJIUfS98Wilp3uQFraX7tdTZ5GltSXd6HLbLWrbLPLZko59Tpy/Vnm58MeAGvE5kaKoEkhs02qKBJrJB2AksIYi19DICMzQ23of7mYNQ7CDK7RDEIhZdUoZ7//3/Zu2T0eMIpl5WVgHRus+hXsiBG8C49pah/lRJqMGmppsQwTQz4JUOKD4hzvwClpZWmx5K4IQFPFZoWrdu37C+c3PK4Y4KABVcYi4j6JRuwI2VuctX7hvHlsl8h0f68R1YCeIuF5TgHQN3TE0NQ7S+5xLwXpGRWghnc97FRiWCsMuxfvWSgjcMwd5lzDs7N2dgCHFvFaD5cDzrhiButXVyxVQGB3UQbgdvFeOT5kNQkX/j6VviwD9+8C+0hzCiN1OS/u4aIIj6g8eA2X9mbqKGBgcg6oQ+wRu8dFbilJRaWloh1sDlYxPdn/70G9b1NYQqFgIZ8bZuGxR58XZg49/7yE4+tx14+AfnwznPbXLbcmBIkrdFsiVSGh7udv/PP/1vwMQzgWffx8vDF3BG+YAF2g3d9oufQbBAo127/iXAgRiAE41ufHTQ/eDdX1j7PsLLCxjQ1d2G7VSpwbz7sU2axE2RRG5KglYrOq8cxWZkpHMwjxJPqhvupdS4K5gyNz4xCLGM4oCeQTx2zNodOHDY3DOJyA3DdYgTmsMO6s3zJyAMMyDpLlNv3uDzfQMd9I83jJ5OkIATQMW/w5nsRaDj3YQGEbLuFoSoH9FeAyAI/A3CybW23odbOmiQ8oICoOzEoVLMKhHyxnvYVF34C1zaZ3CDV1zDkcMQrHIQiIsWgXhktBN035jN8x51ZUMlf39TU5Nwl1Wuo6vFyvbvO+Iys9KNWCki8ezsmCERDx48ikj1AHtdRJTjWqubih5OniieT9r4V2fjPWzOyrfLPDZnNc+4l1U2b5WsJ07qado8sdMXsgK/MFZshn5zrMh6jivb+Ew23sPDy9ceLfuLj1/uJaKoqDCAGHBZHbXBTgiPCZ7nCDiMACHZrQ4otUByStxD9cPHycld8kzBJ7SsbmFhcQDj4MCOOi8kht8OLs/qQcRW1F/ygpGRkUrYkeXlfvv1vOfkLHmeCPeiEd4HHo8C6ekP78uyOonxePDwvEooPz0jHU8US54v4PiCa4qjr3TKowNp6d7+w93CSm58LTw0y/aLr8SK+5Xlkfvwz3C164f3dLP27BX7bILP99btpz6XV2xPg9/3h/f0xdwH1mFfLt68VF2Nx4QHt02c19zSjl3UUTgUuI7JPgNR5OWU8OseHc83f6aBB1v32658P1z/ugVRHB3rxUnrccRjYwAEWhGB3bWqBw+cNmDCl1/90ZzACuCg0BzhKSUl1+3f34Ax75B5cJDXCI0r0ZxzCdgdnQf6foc5zaKXOuz++tkH5HviMaHw9Cd4OxI7RHDoi6r3Gjd24cKnBgM/hNeMxsYb6I52w/21G8giNSWdeXyE8e734MYGCCXSbRyVvMB3dDQbd1daWgvndQ+wRpMBJGSs+w2eLmQMLe7vPtGBownouAgsXok4VYyvkCGiDw79FY5uAUPIia5CgUjnFZ4kfvXrhudvx+uHHqLtOMnInF7pHYg8o5v/8T+rPQ0BJ+SNW+HR9+49CiKtAHFcGaKqOQNACPU3MJDk9u05Qp0oRHEDRNX9sevr7UNEV2cOYffvO0qI+CHEe+2g3IY4vDtNTJhPGPc//OGyO7g/weWU55CXCyDhe+7Lr/9ksZ2k10lLK3QETcShbTs2WUcQvx1ExzRjxLAf10B78XDx3aXPbJePHD5lojIRqdfOvIGOKh8UnMK7p5j+5q03f+BmpmcRoY0YAcjMzDIitX/f68zzL6ZfqkKfdvHSX111+V5Xf+gEiMJ2CE0V4st0+styixCIs6//0FVV7nGXLn1qexGAoAgNmIVHC+nnCMKIO6cUI1KiO7W1OzC+vUabOsSI40akpK+TUXMs6D15dleS+yYBIqYRQSp5OicMlxlTf/KELsPmrfcwYcNvyotHdjelqxezk6f6tj5Voxdzfx4z62e1C8/+GX1WK3t4c5/VyM9qT0MQdM8TN0RpX4PBsHWYphBiXe6MotAN6fCMiY3B912n+/zz9yEqb+AZohQOaxyo+g4I2hSGv7/B11+ueUYXeCKAP4ck4jq1tGA0i36qr78NDiIVI9sJ2ubgquhD9DoV+LIrB/kG4AIOBIexpqNKAGkncJuMWdW+omInXiFESDIpnzaY9j4g4Pcab5qx7AzgguTkBJB0qYaME3HQ2GPopY4eOYtPvb0uISkOMMJXjF2EjmwKLvEkY+DxgTqffvZ7dFF5EBTWiDf0FFwoyQB5z+5D7trVLy0oouJZydeeCI5vt9XUdNuQfkQWhtj14dHiC/Rq3Ybc8/RJ8my+xHGKO1p+/3DZ8+Kg9HA/fYLIrrvx+luse4gXusHT7M/TtHmhN2ldk4/szsPbtdE92Wj7h2e0PAfghJd8cdMkgIV//ff/Ha6IqLxwPRL9JRPkUL77ugnJIWj6ez/4OzgIwBBwK4HAtGsDcJCamkT03IMQiUwLT6Fea2v2QFgqbYBsEHCtrW344ZvENqmZdov43iuBA0o0+6IxYNjJRNKdnR13PX1NOJF9ADCiH1FYghFKuRZq72pxkzNjBsyQ6yNxNPv3HebQBwFImJAYxGtyUjsE+KOqcieow2x8BH4DavCqa267bs5a62r3mXhODnGbIX5RUYoHBUNJEnBCfgurIIjycCFiFqBzEZ/y8log8SmICBdAIiayds8Vk4AQldQvLq6BwFZbPx4R0kf3rH5rbI7idWOzfZrAIhsb0Tb7iS8Pf4Uezlm9k7XWW731ZuQ+zf48TZvNmOuL0cfm7M7zfzI2c7c3uicbbf+ktYQ4KSRNlmRYGw3sWRxIR2cjtkkX4Yz6TPd4hThT8fHR+MPrIpT7pxzecEZwK5cufQG35aHQJPKbmBgzGHoinIui3gqSfbvxazcyNEL+hEHD+/p64dgyLQz7pe8+h1gEEON1w139yYyKR/E20dvbDvfVgVFwuruP89YmDGfv3L7sWtqwocL26uq1b+HwFo2bUth5eaRQX+q3tfUuhLafOfYiquyDwDabb74EoO5yRdSFM1qFqW9s+gYi2wpnlGbiSsWRGsTz+S3GycvNIzrvZ8YlpuAuSi6evvz6A3f39nXWneC+/Opjs30Sx6S4WzLmlc2WtnIxqHt67Afwcj3rj11qpHC778BL9jBu5+Vs57lt08dUhDDAvgUMTWY//1MsT/nhf/juC90nJ6cHMjLyQvfh9XRNRN5QGeCFwM4dhwJ4YLC8ivJdoTK0NAF0NKF7QncE0IkF72MCcCmBtKR8u1fsJTgh5unVLyutpa6H7IsLxoci6m2oL39OiAoDiQlZgYT4FObloQpra/aDAky2utVVe+xdCMaMjPxAfFyW3ZcU1zL+XvKWkH4lxdWh/tHjha79sfy4UC8Nomg96ML11F3xbPn790q8r2ef1lP3Vd3TyB49dA5t+Hu0jfY0xEkJbSaARDW6mx++90vsiB5Y/CWJzaax/5nE3uckLomEwDuPR/EHD66aO6G9e46DfMvDs0QTosAaAwIodIZsoqpwpjoMZ5EO4OAA3hrkjSIFN0OKtaRw9EISHjp4wkR1v8RbejrhK+StYufOA+Zl4ujRU3BYcbgYOmd6HLlmIvCgGQJX01f9odfM3krxlk6ePG3eyffsOYwOq9FEeiN4hdgL2KO+/jUzKpa914EDx+l7DEDIcdN/yfB3R90+1pCNm6IigBOFrqHhpM3pMO0OMqYMhOXA9ofv/b0BReQq6VjDWSL4Jlrk39TUDAvHwYMB2ON52TVp9EiK7MAz2oEIN7DmjV7zVq254pqHfm4VN3MpIZ2UUGZKMrJVqizfDToOr+JVO4GN95m+JYYw8nAiEI5oDvajELVF9EiEPse9j5JEYvIcLmK3d+8h/Nl93/3gB39rgQ7vN11HtNdhXstVR2HVm1tuWuDDhqPnjLhFAda4ffcb01u143vvAV4p5LFBeqNC3AdlpuciciO0ByFE5IrJPInjxikZkMOXX31g+q1Y3AnJQPfsaz9y515/j3q4I8K7QyJ6pLb2eyD9buGpohGiO4ZYMMv6u3zlM5B7GYg2L7v7zVcw7PXcJf3lr7+GQHVY6HmtT+HtRaDkAeLqtW9AN3Yq203JUBlj4IgjWNuOyMursAP67f4yp008Zde8VWuuuP03ftWlPOWeBolUFDqVEYhBLP74SjmYxwED7IWjOYQN0TULHCjOReAKuTkaG50wIIEQf9I/SZ9UDdc0O6MouB7BGh8bBYU3YiEztKU7d+wzG6PMzFzzIJ6QkABHdN/dvnMdguW5CMrFoWthQS0OZkvsU2hubmLsQsadM3DDwFAXRCLZHTzUAECiDXBDh/nI6+1tQ8eEY1q4vDECNEovNDMzaqi7jPQs9GtD6Nmi8I7RhM7qC9ZQaoRGHs1j8LG3c8dB4/wGcVdURPThnKwyG19OXgUnVzp06CTWWQv0NWhAkiZCifQCrtAeyN5JRF4Qcj8pX0nvIupLyUNK6v5p8HBL/USuXsYdWHqCXsbVPZ81PdWernrKPp/5b8dRn+WemrhPcHPBnouKFGxw1GJIJRNvSQ5XFSVWdj2Ccw8QJVZOYT//8g8AB+LcCBFoFU4DDwnGTcn/ngxZR0dHLF/RZa9eu2h7LBdB129c4kCfN7smofD6+2UkmwP67hpIvk4IzQO7jwOgIJ92Y/yJI5PB658++jecwhZYfi/EKQ3bqBQQhV2EZb95U4a9cIFA2bu62iFgDyAug0YARSyzsrLIh5BhrCvSUIjtloIl3gWM0Q8wQ6K+6ze+o80ofv/KIJr41ONa9krtbU1wjxm4hBJBHmef5t3VK946knCIG8C/oPrUupTk5082Z0IvxuGTT0Q7Dq/t2mOh/oRWVBm6M+Py1Eb36iOSIjsQ2YHIDkR2YPkO6GS03wzR/NpftMNS3hEk0vI4iOXVvTvBtMfGBlcrCuWJeVB38Yj1ZhW47zFJIjT59gtPfuym8LxHXYuL2WxdkOyn5MXiUSkBHZ6QiuFJ4U5EUMOTuCiPCOEH/RGxofw4XOHtItcrdiD0pK7Ij9xGduBF3oHIc/3ETy8EnIjDNY88TtQfOo3z1NexESpGz4J4L68M8dygO3XqDbgjQcin0N9kuaOHT6LbuW8xp4aGeuFOquFI8uCIBkxUGFiEo4heQOQ35U4cP++qa3ab2C4TDxHiIg4xjpyvTuFk1eqi7xKgRBxdXl4hXMuY27WzHrdH7+IC6bL74Q/+nqi2+93YRJ/Ffjpy+LxxOscazgFq6HY76w476bbmF6bc66/9BE4r0+XmFQCEKHJnz76Lg9dm1naG+E3H8Qxx3TbmtdM/ALhxyq4VEiQuNtkVFBYSP6oEO7A2W9sbb/zEohD/+Mf/I/OONZ3cqVPfI+8iMZ9+Cliklj2qMIPhUQh3dRVxsYrK3cnjb8NdLWIM3OD2A9KQs1uFiVfbekLSa50H9h+Hq0wz570Cf/ii0id+altWIcLNbf7WRvY0sqebvwOb2+P2fkZDyhJ5UYiNTYfA1CCiw6YJz+biDI5CsBRUUAa9/lIEekjFE8Wb53/uDhEg8BSB/k6fetvQfkcOn6bNadwmvWuIwOTkLAslrzYZCgAImGLfvhOm01KMKaX6+oPobUDGcajr4D5x/B30RAcQ131HgMMA80pG9BiLiBFOZTYao9yPqDtheqSZGbw/wInJc4XGULymtva7eLgoMQLY0fkAYjaNbqsAkV8rdXDiF0w4yEUMF2soxpGRAYjoLAi/shBXpjhRMtxVmpoew9CXcO8AJHRdXLIDhGKx6aISEuNMVyZCMzs3YbGiOkA77tyxE08W/2FzF7JQKSc7B1+ArabDGxkZDI0l0eLzTy+IIN5/EJ//hq1hBpE9XcMmrbPKC7Kn61zV86u+vfczRKS0QfPzng852aHW1u4hBHw94qspIt0Wwu1Eme861RPqT8azKcSDaidmVCnBBXXw9vW3uLJSIt+2NxryLg+3STt27HCThOKYwZVREQQgEJiDU8oF4n4f49wOXBEVc91hXJawBirLzgaKnpenoagPmAPO5J//9f80zmn37v0WSFCcSXPLbffRn38NsSgwxJ+i3VaU7+GPwIdXL8Ax3TCx5OJijIuOioerQ3xHf0rygCHQhufmaMp99fXHrAsQCK6cYtEpvXHuh8TUynbJ8WnA4svd/OyCcVoCX/z5o1/DMdWC9ksyrxlyqdQPRH3P7gOmH1OIEemlRPTOnAZ8QaTea9cvMK8dpsOKjY5nrBnzeajwIgJXCDG43c7e7TYf++D0Evad2rZzDE32BbmI7OmWflCR5/Tptzck7jM7qQX5v8tAzLYX0VQ/wAWPexga6jdvCoqtNAe8XHZQiUnx6JHENZTCvdxBDDhuZeIOqqsPmJfvqakh42C6uzsomzHClohtUSccTTwAg/LyEgMUEAoD/3mIEiFkTU33IEyzeLT4AgK312yrxvEkIaIg0diFi18ARy9EHNcB6KEHIoN3ibZG639hccq8UwiBOAkApLOzFUh9JRzNfgjwjHE7pSWVXM8aRyNHPhZt+NYFRJmDjLfHiOuFi58Dmwc9CLAjMSkWcVwze3LAxcUTmPHuNcbIhgBehdOMgqsaNfdJBflFAEBugDjsMjdOCvrY2Oh5kxdUXlF54xOkO3MQ3VJ3FSIq8V8GkH7FwvL1VhhJM4eAwebFXm4ZhxX51qzhWxPZpDVs0jqrvNp7ujWrX0ev66i6zg92y6pryqHfUKuBAVaOLF978+iuVh6ePlBC9V87+z1g6qP4zfvK9EL9QLWflCQqUwh52VBJV7WW5HtuN+e0iP3Ck8SD09OPN6wNn7OI8yQwfKXVQmeE9y2xonRzm5nETcWCAlwJMvFBIcs+qM0cWH1taeerT3Y9QxpUXw3WkiDw9kCvZ4C19PsC1Hmpl/xSL+45PVzPYU+fZsgQJyURl5Bpu3YdQS90gl/2AeylBh7aPUGtVfZQIisOePUirEJry30nfdPQ0CB2UkDAua5DfNjb2/VQMz9DoAF5YtfhvxevEWWlNfjQG4bzmDFxWAkiRXEe0pMtMgfpkvSu6LUCXxw/9hbcRxK2XQddZeVuDIHvoNt622yUJGbbQ6yp5pY77vy5X8A9pcHtYBSclstaTyEKjIFraicC8DnmmkvIkFa4tSprLz1ZeXk1Is8KiN4k8ah2mpeJ/ftP4kB3H/qvRrxPvMWYOyHMI64endw0orv6Q6+bP8D+/iEn8EUicPV09HiKO6X9dYwpL/J79xwzvZS8YwiheKzhPJ4sUuAgd8A5phtMX6hAz2mtt1v6oF/GpHV5tmO8wkX6f2uSg/qb4rezntTH2nZqjdXW1tk2qrUV61prn2utt422a1tP5VXdTxQ0WjpBNRQXw9B9x0DLCTQRw0F73A7HeMJoFBfVcmB2maGsggs24bmhsKDcjGfT0lIBN8ThlPWKIfLacUybl59NyPU79qGnpWeaiCs5KctABTfxWL6DmFHS2TxouQaQ4qQbgyD+6aN/xqapwLxb2MFM7KpSiJX0XXJd9PmXH+Ax4jbIwGN4qrhhnJJEgbl4U99RtxcOb8bdvH7JfZ9Q9g0NxJrKkneMKLOT0li/+Pn/DPBinsCE+1hjFzGf7pr+a2YmHwJ2C53SQRMdulsOgnUckWQKyLxjxH4aYaxZVwdCEf+FtqYYjIMFvJCRc0V5BcR1EXdPxwgNnwnhum/1Ai7HvfbamwYYScd1kjxuyKv8rl31RrQXsbEqJvzIYmDG0+0VlxM6fr+bxrYsH5uwGLxnKIljDEf+rfITweq9aC8eAfG+eh7/4137X0Z9dqv+IApfqDbDe4RDuSJ0tkcWiNQjVHa/2o+rYKuXZU9Dm7CF61rrXq213so5R+5X34Htt58rvnirT3vDuZyC3tL9X+rffvupcTT7Qe1JBJaGzkRczBAeysW1HD1yxsRxRYUl5vk84GbhHCZMl1NQWOpi0DVVVuzg0FbQQg+xJu4qGrBAQaFAEg+AgTegQ5pCbzRIMMRjrqvzHv79Um0xJei4JvCtJ6Ii7xLJKQkQqjIOcbk0um11Bgf7IBoTcDW78Nn3tjsGxH0RQITChCwsYogL9/btt5+49//wT3iF6ITQLpiR7zy6n4mJYcAaIkr3jDAMDHbDoY2418++x4EYBzeWZmMICegRuFyI56/dZ8TQSsO7+tT0jPkSvEzcKLVrb8fL+iAe3QmWKC7zP377f2MA/AA9VhuiOxGfBxg6zxhs//MvP2L9LUD6xRF6Br6KuyVDX6V6Ihk7oPtZoCD/8Id/YQ2f2hyEYHwpk9waWxJZ8a+XVrqSQKmGz12F3gGprOSWPIK3/Cu91FZ9LI0RuXrxdiDy8W3+Z/Z0e7r8O7b5s/J6DIn79MXVoVBXtweCgX6GIIZy5pqdLdunEXNPpANenhiSk+PgFh5wuC66B4Rmr6jYB+eQQ/sZAyIIuTZGuPeSEkLNzxNlFqveLBB7us7LLQaEMQAh6ofYTdgBnZNZaqK6uflpYjntQJzWhqjMg6zL+4Pg4dIDCcWXQ2BCEcvR0TE4nEnjMGTHlZGRbgSoAcev0RxcXT2NELIZiGsvgIj9hhC8eftb2ufQ3zCReT+zX+CnT71jYrlLl74EWZjPXEUcEw2UUYTD2d6+diNoihVVXFzsbt64wtiDBpEXTH54pBs0oODxeNS4/q15ydDWnjjxJuCMAvfFF3+Ea9pta7h//wbc2mFEfsXmQkofcZTZkk24HGJ3CeWoyMBThAtpablroscZiLXvkUI6Q27sk5MXEB9sYRkvyEuIuOiB82jzwzNXGX/hdaN1z+eqpFdV8amNCJz8Pqq+kt/OL7fM0Is1XKoTyo9cRHYgsgPbcQf0jbVTT4p7cRwVFVWIl2IQSzW6yqo6N4krILkjkofyL7/82NawY8cuQAZwQqD7BnGV9OabP+GgT3G/+c1/Ax6+C12SkIHDHNL5eEEX1yPXQDigxWYqv6AYhNwNQ9cNQqwkkjuNnZV87n3yl9+hU9rn7gganopLpjlQeDlFoPS6OMSzjRgg/IJQdqPr8g7rlZtaWlqOrinDousOEKxQSTZKsvNqbW1C1LcXQ9wboWZaizie5pamUF4O0YXF6aSkJhPHqtHyNX8hBZuamu1eLqQy8e7eP9CLDkmxrMbd0OCw1we7WlWFR3j0ZopllZWVbfupQhFCoQ9v3LgKx5qMaLPUxI5CSXZ2ym2Tl2LxeDEf9Hjhgyf8suXvoY9wefY2vPOJyGpTszIRYBEa/XFtb6oc/lGvtlzliXSFtxHhCjY0uq4+rO3qwIqVXJt63K5ptS3YTnPd7vNbba+2+5y3+/xW29PNygut3SdSxSW16Hjy+eXfa97CNVAxdkqCjSsJIp1ACPihIc8DuGWu+uJ1nZiQDedQYDqfh6tFwUGlwIUQmh7CuLAgH4Ep5vHhypXPOdwLXRFAg5u3viX0xi4O9XjCxl9F73XYPDhIlKa0a0c9hHDaYPIjcFgEnbd86dlSCWY4OhokHpbLegjP0dnZ7PZjOHwNw+W83DLg4fHGpCiEvMAQgt0XF1UDD59kXgFEhEUccgRYBHouzxWN927BLQ7ADCS7OhE6jKElxpPdVXtHi4vHMHp2fhDARQlrymD9Nw0MojD3M1OLcHZFeHy/hF6vynwH3r5zEa41F3uvXPYjGUJ9CePo04gp8WnY3WRgj93ozETI5DBXBLIbX4SLizj0DR7qweVtyzdN0aMSS9MzMkK+ivQXTous1irrMi4prK4RIFpaVa+RESu79F8oNG8mutcgNHporGCRPQSqF0mRHYjswLbYgRBwIjY2wQ7aYw2v8yWOIiJtP54k3kVENw9hSuDglDeHOybOO3L4BFFt77kqdEKXL39p7oMSE5Pcp3/9N1wQ/cw4sq+/fh+04JxrOHbSiF5cfKy5DxqCs9q966C7cu1L87A+g4/AHTuPuWwczcYj2lNYkJKiGmsTwO94Fq6WFJk3G4KlMO9yFltSXGW2WiJSdbV7CVtfb94tBgEmCCEod01CCQpNKAK1GxHbrVuXbMN/8uP/bBxgCVxRZXkdRCENwoIoEmSdEIniWq5e+4pwH6cs1tXF7/5iYyvO1vUb35i7o5KSGohLqXv/j//kDtUftbqfI9arqSk0/VlCYoKrKKt1f/7kNyYuVVwqEan9+xpMb9Xd3QOqD48aEKmGo2cQT4L0y89lfgH0allG6KIhiOIiq0Aq/su//R+IM9NYe5556hgc7OEzSWONk3BqeGIHS+/5XdTRu+px/2wethVDhwjTinxvMmQi7pPET4TGn7lRm/DZSoynQmrYm/UVJDpc61YG2MFKwZbK9ZJxSMuIEm2DxSu5J2UTUdObkN9B5H0dO2A7uI76T6i6yd3ZaE/T59O0ecLSXpziNSx+DVUeWu862hBHwv1KHXicDMg34N9jcCMycs3H991fPv7C1dZV8Qu+hV/wo+aCqKCw3BUWlRoBq6reYXGZFK5iJ8a3OgHy0K/IU/kMdkq1tXUQLcKrTyi8Rx2HOz4BieX09TdfMqoX1mPfvno4IwyH01Pdp59+ANeSax7C4yFs3135FDTfKbiJFsSIfYxR774BFCEXS9KVlUFsxsaGPY6CHuWsdgJntTIMlv+/s2e/DzjjtBkC5+eVwNmU21xSEeWJiwq5gRrpo92oiTWzs4oBeZTTW5Rrbrrt5FpJaEcRiUVEcPLhV0j5d5c/cwt40EiCQMvX4Y2bX0O8ryPCq0NH4ugrAy7wO1w0lROmpAdub9g8U9zB3ZO8sMu+S2LFru4H7HcyAAyhKuPN07w4st7eAXP3JOKotYyPT8JlFpo+bYgQ90MASAR4WXnYMnFN/clpLXWe3Msja6wu3hORgKyIGIQ9qFZXeSQr8uemavyJeFg+5Ya30E1YUnuPmKl+kBBRxXRZVjdYP+wtfEy/K684WMnPXM/7BpquZ5iXom5krzb/Y1zLnq6lzubP7Kl7xEW313ZJCR8AkDBuhEXf+rzCBA7iBVeGrZAOeUXoNTQav04VYFDrHR7uwENDMwcstla4D3KBGIhBKSi41wgIOEXeDMSglvoaa8E4rN27dhId97ANLm5NYS0EdHjn+38LR3LQXb7yFYQzAZHXefruhJspMJ1QV1ezRddNAvknIioUoAhGWloOxE9uneAqOLilSFfqwdvF0HCnoeoE6JC3iczMdMaaglPCyS0uizoQz7W0PHCjACp04Kfio28EDkzv4qz6+3shiKOm62puvUffATiYbuDnO10GujqhCVMIvKh6IyNjcH/ZboBrATgEuCjMr6RuDbB9IRTvQWiPIMasMdBHCuLImmpB4nuB1d+BEGbTphYuaRYOMoUfAjOs9yjEfq/70Y/+DoI8ip6vn9hYrcZNrjirbc32EvxclzJWuVpLnVWarSXLCMCKigI+8N+S8UWM7xEUj3D53x2blpVRVTeiSuKGrMBrr9cgwtwy9Lmpmvqwa7UP1kcYaHX0bDCSV1/17CqckHkZ2lN/XsEqa3/zO117i1e3ZmSvNv+zX8uerqXO5s/sqXsMoft8nZTc96SlCWRwH65h3ux+Ghtv4rcODw6I0KSrWVycNQReOiKoq1e/hnCNE4dqkjZ3AF7UGTdzr/GqRe0VR9XPgS4RlYIjNjbecjPob+JxMaTouAJeiEgVYyOUgr6rq6sJXY70QHNwGB24V4pzH//lt0YEBDv/7IsPIE75EJYmDvlpc48Uiwf1PuJCCfIug9tZ/A0qrpW4Mx3+oxjKtrYCC+8Bqdd6webS1tYKEUjDp95FxH9emJC6ul3GKX388W9sLWPjPWYULFFkRUWla4HADBNDS1zOF1984pJAAWpfcnPzIDBXjdMTSCMJR7iXr3yDfZcCMeZAgGMMESg3S0qqr2jDPb0dAFNGITbTcGVfcbjOmvskhbe/desKYtQad4+9l4sncVizQP21ZoFM5kFKilvz4llZt7x4B7B/97zewwmUf9hbXpCiilDon8SUmrFl88Wx744ygl8in1hoHV4/3g8P79rLk8DQ+z1iPVk9dah/lngTsfJydBHk4rxOvTrBV2+Oy7K8cZdnRe4iOxDZgWe4A2FHAl93gAayaVJ6kmugR82xksN8aKgVTmTxUVWW5Sclppv/uzwQb/Ln19HRtqxcN+HxpmLxlzc/FzzFVtQUAnF0zAv9riIRXumcxBXJGa48YojIKD0uXlVcXDJt4+BmPDdJ1mDFSw62ViKAj0tCLipK8PqTDmNv/6R7EtF6VNLBuqq471ENtjDfyIIoiyXv0bKDP2zM8Ht/7n4L0wdBoUIEhnah+mKj/IrB/sWNeVm8UmzcGZfWXpyVl0OBavngCq8Ft5a3tHfeqNZmJcvm923jviov3p69KquNrHP77kCIkxJRkijs3Xf+DqX+UcRgI4jYihDblQEL329iGkXhVSTd48fOu6GBUbdz1yGLu1RZdQAdSyXirg6g4lVAsnPRoSiy7TzGv+cJ937SxFaFBRX4p0uk/ZsG+55EBzQLF1Fbu8+i6t66dd1cBvX0tmPbdBgupAiupwtOgxAaxbWID98ylJviVo2Pz+DN4W0jJokJeCrPKQFokIveq8ZCcmSAfhNXJWNZEYtR9Fa6P/vajywUfE9Pj/vpj/8eMMh9+vm+ieXSERmefe09ABL4HMQm670f/K1xZ5WVtdiPHXL7cGEkonru9R+zVzPGTeqj/flP/yfzuFFSXIGnilMQpiF7v4Mz2uqqPe7tt/4GxF8TeWfN24RiXZ3DeFi++hRrag/7nYxdWDF6vjNn3mUvao1z+sG7/70ds11dLXCUqe71198FdHIUTi4djxpn3fjYOFzVECJJRQK2U/e5PWlGm0IEyptGiMBwq+vw+3CCY/kqD6unu/D6ZgelPNXy/vMGJ+Y1sgFtDBUqqY4VenWW+lIPIljqX9WsIhfsX/DSJ31eR8G+VPhKpVdtva/Uh/tCLRZ03/KUjL2T9EiZ+LCrQudy795dg4XLM7eSQAPSHzUcP2MxpbKBbMuV0dzsHG3SIFJlLhV90Z/+1I2YTwQiy3RRarN3zxETwwkJ6Nn+eFybYjjNgwR88/yP4XwyITb0CYGSh4j+vlbGSQcufsy8X8jbRA0+86pBFiYDV5+amgYNWAXnl4BhMR7KqbubkBmyW5Jn8/37jpoOSCFF2trumu2WPENITzUxOYDoLRNC2Md8ot01iFN5RYWtc8/uQ9g5yWdeAF9+LRCGMXek/izw9Hnsl6YBbnihRFR5ZLSL8kSPC0SMp9AmQhnmo5d70HTTvKtnYiA9DDhDbYUMvHHzWyd/f9FReLkQGrC81n34wb/bngswIrHrHPB3uVNSkp5Qnt8PHDgGDH/MfhxIrKnk6ROfL5GyE95moxePANitnXXegSfCIGIqwmBElWyfWCxvT0tTXnl1rR+9BM9NtfevdWHZojhhyQiNxvIKrUSPsKenUvul/fIJmOakXIEt9L6M8KsJ/5blhY338l0u7c/a1qaNXm+btfUcqfVq74An5GcPfK/mi4AkpEvxIM5T6Gw+d3GIATPTs6gVy8GJw1cIlfQycv0jsZPbkvwAAEAASURBVNfoaDfAg5sEAqxwfb2dELkJl02cqIMHTph+SA5gKyt3MMaioeykmxkeHnFV5ClJt6JfyrKDkm4pn8i8PSDeRkZ7XVFxGYSLsZnXAKE5Sgi1IQ4tE3CC0H6ajxyxtrXfMy8OcpQ7ODhgIAr1LY8ViQQljI2LhturYIxU0IheAMIErtPSstEffQ5i7lOISjkix1SADHvoMxPinG770N4uF0ezEBh5VV8gjMjnwODLIJQ7NQQELpH9kM++B0D3v7I9kZeMmuo6iFk2Y6YbsOPmzYvum28+sYMzL7fEIOSN9zFcBpEo10qTeJr4l3/9d5tzGsT2jx/8lvWXOv1Y0D6Pj0snNW8H+zff/tWIq/bN/+xsMs/hxT/k/aFFGHRkWeLcMkJBhkeYRAA84mFABr8wWF2EwAgX96Fr6njE7DHvXu1gL974fj/KNPKjSYUmpwl595qXFakP8jxC5I2ltpG0lh2IEKi17NK2r6MvwjZLIXGfHLrKVqgIkVNOTpaJp2QIq8O4t6fLpQIyEFqtt7ebAzcVLkVuj8rwHnGdw3bMRHIDiOZkQyRPE12dzRbAUMEAJxAdChyRhK1VB/mijHnYBUVzIvTQtzxECGwgdJ28MdwChLAA1FuADOljFO69gii5gsV3dbVCOBKZhwIlCoARDdptgDIBC2aNU4uN5YDh8B7Go0VnV5vpvC5f/toMksfG+6kzhr3SohPhVB9t7U32sVRDVIrg6hQG/q+f/h5ClcB8mxATzrrDhxt4n4CIdsHN1IPSI7AjAJJs0Hh5+cVwl8SaCoalr63diRjxrjncLcTHYVVljXFFrfj0U4oFSFFWVgk44hq2WRj9zk7hbeP3Vnb+jbcNDHEPY+Fjx04Y8lD7m0EMq/LySupOA52/7B38tHieBMonHDbx4ItPGPwjS5+DiIGeff9PF149n2D5xEeVVCtYHry2DMtUH37dpXfr2C+njT8v68m/V5+q6P0PDsNNiNsKjqIxbVxvBf48vVL1Hay3CW+b2NUmzCbSRWQHtucO6HvinycmxhNnspF09OgpE91dvvLtmrqJi0WshS5MXr97e58cd+pxnSoo4xhe0RfCgBXiZCT2S0xMhch4KL6VfShUh+zENI+NJD++ld+H9HcilGtNOhDXKk6SGYDvFHit/W92Pc13WeLeDnWTq3llVkf3PiUJa2J1w/p4qD+1CisPH8sIjscfhWcvXTNm6MFWrt1787A9tjlatooYhxdr4BHO5Z+D9zWxHq2O2gUvlkZcceW1WZEZuY3swEu7A1v1xIc4KemMRKDOnHkPJ6hH8WAwZ8g0icZ2EJVWHsyHQcktEPdJaRdeHFLRlxQRJVf2QTnokBTjqQXv4t3YNSnJAWsRNkzyRH7w4DH0P4XGrU1NiRh46DWfEyhBVFiEbkn+7saJ0qskhJ30LfUAL2B80DOpnRfIMCFeXiKm8YSRgghsDi5jF/0zx0G4JEJ2FCMWVJiPdkRwUVEEagTWfvTIaeOs1Lc4xyj0QQHEiA67J8HXz73+Q2JE7bc4Wscb3oSLrLHD68iR120eihslF0rtIBDfOv8zRHwZ1ClEfFgIp4WrpMZr7tjR83iReAt4egrcFmFFsMWSG6VxQCJ79x6FGBcb4ELGyIsLi8YJyXGs1qk/oQ6TiHeleWk/ZfDrXcvuOhpim0Kb+W1HoDyCo531kn8fPPct08vzuBEjPjzVHrFZToyW6umxVwoSP58IinCpKOzeb6M8S2Fl/r1XsDRWANSfzSNYoLlac7X1K4e/h9Elf5jw4ud2vepkn9tsXo6BI3u6+Z/jU+5pCDihw1GpsKAEkdIs9j8J7sc/+nv0QH24K4rjwMRB7KEsCEklh2wLYr1qOJRhN4Ih7+tnf4TOKgcbpvchJM796L3/wfqYQYxVWlKHcWs+4AAFVSSMOijCM6dq+NG6gBeLNhMFpkHsEggrX1ayAz1LD0i+CjuYhTa8efMexrqlhsw7c/pdAwyIAGQC1rhz+6J5jTh+/E3smPZY2wQ4Js1tYnwQsaUADOkQy4OI364gWksDFfc6iLgB7Jqu23qPHjmHqDHNfX3hQ/RJn4PE+ymIvFpDAypk/OAwos7UVOO07kKEjh4+6b6f+XOIVRGiwFb6RDfX24yOrN5Jx/bNhT+7X/yshnXGW/+1NYgU4ezkZmlsfMAlxyZbvkSrcyAEdUhK5Lj0y3wRkMSY3YtbkqjRT6orAMVSXb/kOb/r4dNf8BAPP8DtuLfT36uimUoXpeTzOj6h8N/VV4hM0Jm6figFM1W6bD/E4Qh0EZyLykL9Wica1etTPJN+KqncI1gq8/RTNmW/mxCEPXwsTSA4yEOTe8YZ655G+NzDr5/xvLfzcBva0+28sBdvbt5pwbx9jkbIt+7uLhBqJXAf0wQafB/uJoZf9ImmvO8haq08ns/ic68Z5Jo4g4K8Ivfr3/4jyv8eOAfg5tInYSAr/c7deyDucHckjsAR80m+6MRZ6ZAWZ5VCzKqc7EIcwabj3XzQffLpn8knmCDghRa8O1RXl9HXFISn0gx9s9F3pUCkFINKnsiVinlvJghjInOMx61FGn0lE2bkwYOrjFfLQT+MHgi3syAQdSBJj6ak9tW4dVK03erKGojjTuYw5S5c/AIuEiNj9kKE+Df/8Y+4O7oF8dqFD767EKBY01vt2LHTffbZJ+asdhLPFZOT0xD0ZNY26b76+iMb40HTXQNGJII+/OLzD93n/MkezeMWvUMv/JDVtX+/UpwXXmadP6eX5Ye+R1Ci7CDn8DcKtfSuczyAKM3L5kDUmRhMIhXmHol7laut/QUrqdz68wqtlXfpERLrW0RFfdqf394bwMv2C73+Vdmryqv3P6xfrxvts/Wp8Zm/6nuVePUKvNtgX17hi/QafgKHX79Ia9huc43s4xM/kafcohCREihCSd4PcvMy3Qh2RRIBnjzxhsWQkr89eZWQmx8p+hXDqbqmzgjTADGbfvjeLyBiuXA3tyAIscZhtLc1u8rKajdDn3IsuxiYRtzWZF7OBeFWXjVh0pVGiNEkUMCR+n28e9yDCMQQ48g7hTxTlOC9XECKvv42bISG8M8H20YSQamsqDYXR9lExp2ZGTW/dvkg6IaHe1lHgPa9iMoU4XbWIuiqnTyMX77yJQ5lv7BIvw1HTwDKSHJC09XAAcmBq0+8ZcslgpdE+QPEePHxMWYLpn5E5OS7r6Sk3O2s222hShQ/69ix02bHNAWRvHvvsqpC4NODBtOho8/yX/wXHezBp9CWpmv+uDayoEs71L11+wRJh74RIp8UBO894uTvit9X+J6pQy9frxoK6s6L6sg2SgPzx3Ott1D3/oURN6+elau5lanyUlcG/PCyyLSVWHnoxW8cyohcRHYgsgObuQP6+tl3XF9q/xe80GmNjV7o9wp89rXhbRz/sW7/gSOmy/nu0lc2Bzk77enxXP2AmMYxrTe17Oxsvu5RELABdEOloO+GIC4THNBJHOxTxpHt23sIAvEtHJYcqi4HTBxrOIMITbB2xXKKxYB1N3312fz6gaET7N7cEcnIV6Ijz07IG1tiSemvlNLSkiESk3BIJa4TG6Ma4mPdb7znFaocmPk87pfE1UnXo2CGGRkCJKTwDsKxvdXqhoMuhLBrbW2mz6X4T/K356EL542Y6qyULZiLWkBflUsfi3CnBEeEnQsPAx+ayDO9CH3kTzWqR1C8puHXogI6r/W5m8jMDm8RrtDvII9YWD3v1Ff7UB9qS11vdmwg/61M/RjxYUzVt96D44dWoDr6z0t4Uh6EzJ7rYJHVsbpUpF/7x72Nq3EsT28eyVJJsBZX3nfE/574Q6kZLfzbF/fd2/wXd/6RmT9mB17cDzc0cz/cw+7dDUCjv3VVeEoAC41TVC9k+2NWjx6r0jis3t42oN+LiN7uW/VyDFRbW0VoHp8q8fcnh69zACB24NkhOioWbqTb9SEW7B/oenxjSjWOQA6CdAvwobhL8nmXBOck57FKDUfPAfDoR8wGB1i92/LbO5bPTZB0hce4ePEK/RESpKQKj+t/tva7CC+ikB4XL35i93qJjo7n3FyAyEHBw9JqQQoVWVjhQ5Yfs2GNHncZ+pQeV+lRZRtq/FCnIaJCiREZ3v3jWc+Q7nRvZRAVO+yDxEj0xkvsQvAm/H1pb1SuTlTbn39wFBMrer2EXoP9Bt+8GVB9iZh4JTYz64arsPIlIoOOCuNtzcnaUqDqmstSffWl9taRNwX1ZTVDM4pcrGsHvD1dV5N1Vt76EdY5oa2ovmyRy262YrRn1mcIOCHj3XHg28ca3rAYTpWEcR8a7rZDWxzH7bvfEfLiFIf/DdM1padlEhPqcw77JvfambfhQkYQnwGowM4qKTHb7dlbbzZGJYAhZEPUD8GRDVZfXx86pCoLayGPC1O4LUpOjEHEN4Me52OXczwfDgjP4oSfr6iowdPEKYiBkG0BExUK8SeCdOfuRcAWMRbFNyYmyjxNvHbmHGLDEbxeFMChJWKnVYruaARC8wEEJgMR3h7317/+DtBDMeK5Et5LiBRcYt4yJM580HwFseE5lw8oQnoj9REX/z30SB/YwVVDGHjZai3OR6GvmjUCJti5vKLHUl/ESoeXODMduPov8IMOPREopac6zMLOw2f2ZKwykE9QQkWsz6bGi5XpXhm8e8k78MNuVdHq+n1ZWTBPbf18r73ton9pg3mMmU/8guNZDZuJXalVSA8W1JVp301vFpqjOKWwftRS4rzgZPXm00O/Z6tvI/BiFYI34dd+eeR9W+2A/xluq0lt9mRe0kUC6Yv6lfaKH5Cmf5HLHsHGFY1Wxra5QMvlMkiHra5lnCo3PouBecAOSRZgUPcCP8Sjw8rOznMZWXKs2geyrwbQRAHHw5wBMabw5l1aWoUHCzytE4ZCnJMAEvKuPj0zQfgJItqifwoEZnAndJcIvAcAQySYSFD6jpRkDFrLFN4+FmIB3L31FmMmIUqTz8BCiA2QdODbV65+CWdXw3qAdRO5ViFF2lvaIVJ1AEHwoo67IsHn5WE9EXFjHEg8hYBXAMfy0p2G5JOj2pzsAju0ZEzcj5eMKjiwAHJPRe+dJiyIIvhqLgYJB06+7Nd18AFU3koARLDoOb0FT+GnGD2cgDx8Tb98RjrkdZh75cH34MmvPO/SL6eu1yBEIEL3oX6CdcL69MexkaRzYi2eWNEaced9W0O+/VSuLBWrsrXQu+4tQ72H7q1qMN+68oqCzTziZpWXvfiVlmVu8s2zGGOTp7ztu3tV9vTFXWdIYSCHqUqLi9Oute0OHr5bgU7PGDHq7W81N0RxgAVgGChrR4/UCuHyFj4/jxIIn3V5+fkGvAiAipMhq+I7LQam0NO0QrR60G3dN3DEzNwYtkjDiAkLAT9MoquRXskTmQleLr93CiMvV0iCdytU/cBAh0Gz5eVhanrQPE4UFdTQz6A7c/odUIWnXCdumubmp9yJE+epM4ForwdvGQ8sRlNpRQntJ815rgihZi7PEv22ljY4nXEc2J7j0JJvvhlsofAoASHu7euCmzts0X21XkXAldeJ8vIq2y8BMWQMrBSLYXLwJLP77fniHeDrnlvYM+5f+ge7+hKna//DuvcIABk00LX9oU9UMs5GHRn1ULlXx/JpsERgVEk/mLw6+gwkVrQ/u1a/KoN4wNGqtjcWF5oQf0ZvvG4sRyVK3vxWvkvjqcqqEPzTWzBLFz437GdZ1fAbZWxJCtvcLenf7/SZLMYf7Dm/vyp7+qzWufkfp07XX1m3wedSxrrXrhNzCfsgwc2lw9HBcA+P3guLM4j7rhuXJOIwCKpOQfiKMPQV4u+Lrz4Csj0AUSJ2FAfGx5+8D+BiHMIWjb7oG0R93RbhV1Fx23ARND45ZL76WoB1K4SGnMIKXTjE9eBAnxsdHzIUoZB5I6NDEKEmg5rHw/10d7XbwTGERweBLyYQDy7ANV299g3ixkRsnr6GUI0x10Gbr0LQaxz5yFMcqes3voU76kSsOI47pgFzaSQntSKYH3/yO0STJYYIvHr1kgE+4iBssmf6/LMPESPmuXv3b9jc1EZgCDne1bv2KjY2yQiWYmK9LMk/0LUeu7ZT2yMAuvdFY349vXvX/rt30CvPRKDs0xIt8ESi1rcyra1354lLvTFDSLvgs+qNYROilTeON6baeuNpEPt6Wre8BL+rS3Pz6wY7VXnwUhdMxdroza696vbqkUQVhGX6l6vl+WWR96fbgeexp89jzKfbnRen1Tr3VNVDJFYHwlaJpirQP0kvM4reaxK90dMlRbqtBUU4iWf0eNB3zeHTf2yX8hQh6LqX5Fl8+RwE3mhuaSZ/Dq8Te/E0fsOruuJVoIsH2EwplWI03A7yUUR4AXFfSXE1ergHoRY6CFcTAYYqvEAXocOfJ0YEwU/KD79fIjA61IOHfLC+d6+8sBZWJ0Q5Qj1bHUE1g0QjNKJ/sYKYsNFMCR7Hz+dd/hmtAyiosi0FL/zPxbgiGqmd8vx81bV7tbRC3jR2sJ71Fayz2rWft/H34KAb7yjSQ2gHInsa2opNu9i6PQ1xUokYocp3nYxt33v3bzF4vQzS7qirxN1QX9+AGenKg8Po2Ji5+ZmcIEQGh3IxnsUV36mMGEi9vWMAL15HXJdkMacEv+7qanZvv/lzc1E0ToypHDxFRLkYPD+8gY5oF7qdgKvDFZECE+7fd5xDIA5d1CE4tAlXR8h0uRwqKiwi5tRuiJJAGu+5+vozABuiXArez7Mor6jYie1VBTqrdLiwXvp+G08Y4+jB8pjvMGNX4ynirBN6T2E/XicOVXZWrunD5Dqpte2ehaQ/TCwoiZEUzl2ESnD53TuPAiQpQI9VYvoxeY4ooT/p7XbvajA4vQx8T554G1Eirp+IQyUzrx11+23tegZ04G5N2qp+l882fP4iLwoD7ydxjh5l8bgpr8hqWb7f1ox22Qevukc0vL6MTFgXXl1xZ3BWVNS9RrLtswtugkTGxlce91YvuMd+GzXSmNaniJTP6lnDpRdP2his53eqfoOJXuxq2bDBsVRg/ft1w/KDWa/GW9h+rb7gJ1ZYvVkkN7ID7EAI3SeUmlIJwAZOCHfg4GuGxpubXXDf+/6PACikwAmJ+5i3Q7+goFjHFSI1Yh7hoVuwcfnfS4ZQyMNERnoGxM2Dj8uYNzUmBwBDPAQt15UxRgz6GwEtTqAHEgcn+yMdLAV4sBAxzM7Jpn0/BLEegMRdODxPdKawGoKD37x5ye3b14CtkwAQ8n0XsHhNu4gDlY5T2TTm0NZ228Yz/31A4w8QW6oYMZ7Cj1RX7QN1mMRfLPD0s4AtLuMG6r/zQBgaPyuPAIyHsZfKt7Hlwui3v//a1Y0dgDimErqDNTH20LDn/kgIRiEkFf1XRrwyRFbyvcvbzaa/hB+dm9758g51zmg4TnUxFkoeASDbziAJv7zDKHRwe7deLtfeGS5ixo06UV/WD5f807V+JKi9NbVCjURSdbWzAi9L+kE5KJadnCQAQoEq6TqGZ0q9y/sJvZo41vqljxkANp7N2rzViUFUq/71HAZAEAnZKZOIWLyXaEhxyWaTF5yjKmsaml4ksQNP3IgnVni+2xj5MJ+4/+veonU3ePQUQsCJCRygKpWWVuBJfNq4kwWg1hNTIyDmkgmbMckXFTQe9lNCuIlrkS+6tnbcBKETamu/w7M661rbb0LMiHsE+EB6IqWbNy5Td8iIisAFcQAjRtFpWQBFXAx1dRELigB/D5qu01cccPZ+00vJbZHiWylelBB0SroWIUhLS2NeGAdPDbum1tuuteMOYjcAGxkEMRzoJK5VB2i/RdN1FRVWuTfO/pyQH40G5pCfP31tFK/q/oNroBQJFQJCUVF8xd2Nj4/hNSOBw2+eOV3F+0YXosJWOL2TrIkyDjGNM4QtVyL2TzExCQZxHx7pNT+HEvkVFBa4wqJy01PJc8fLk/T0BROXPoOiw9yjIEvlRmp0S6H22ydiPEB2+IeIWfAMMw6Kul6+149+fOhKYAa9izCpuv5EaPr7BwDVDPFZjMA1D7nxqSHre3CQvEH/h0KU/WgYHla9QZdARGSZTMgziqIjjyMd0GeuvLHxUeoO2Q8TGaBP4IxSBEuuwczTnzctG58pLCOadh95efF2IPj8vXgTf3YzXvcWrbvBo9di4j77BclhUFxczsE+6T7++N9x/5Ngjl0nEdH19LRBvMqxderi0L5jXEoXcZpkR3W/sREOAig3h3xHZ6und5KLI7xBpKalwM00YzN1EDumNESINzgAejkoBui72DU13TDQQirxqRQ5V/7+WlqaXG5+DhyN9EfeL9h2oN7jEDm5RhKwYZFfx4KECxE4hsf0cUR6ivU0BQFpbW9GPJfFnDsgJBnGGRUBm8+AqMg7+r3G24gpiZj74LYRw5mZGeujqqrKvGIotlRNNV422poYo8PWMz01YSAJEafCoiLzhNHFnqSxvvv0U4gn+AGAHsnsmbzAJyUlGJLw1q3rNkfTbfjsx6M/i00sCZ6km9RjiJjQrU9olvK8sZTv5/kES/dLebr2JySRnldmWVxL/eSJBP1z3wazemBwjLuJBe4vUIy4Vv3A6e3tNxdXb7/1M+PO5TsxMc7jZk8efwudYYXF4RoYGMQ0otDs5MrLa+wzk4i4l2dkls9/5479cOeHeMbxnI+e8SD+J3sB+dQhYt6/v8GQpt097faDRDZwSym0oKWsyJW3A2vamjVViuyovwOv6HZp2UbzVgNN1NRWQ4QeYPeUAueUiR1Th79dz+X9adwK+SFInsuEGXS1fX1oLv7Dt4m/Ph4a46kzloiLpinioml6RIYL6XvsXnlchBEr01eJBxI83AqhRLpWNatHS26k95GOMZhLBtcqUhZ/idixZYDOTAOVqR9DKpvhR1B3z7B7680fI/q9bGFSamsOu317j2GUfRORcY7FNZvgR1ZaKmFRaCP0pWKONTXdMwIkk4g//enX6GB/CUc+YZ78Z6mjGGTNzffQn+YYdyYXWf/x238yLl79KZyMuCr/d4f3zgAk/SB5aZM+j5d4ed7nFlzks1rrmsdZc8Vt+PhtbO5hOql4RBzT7k1ADgnxyXAaNwBSEPk2IdNlpOXj3uguHEMFnEkLm4ADWbgUwc3Pv/EzE4d0djYaeOHrbz5yVSD5du864rq623moF81tkQxs29v7OWgS+ZJHwbVMIhIc5xCPh8Px9E1y5qqQISJGgqJLNKhw8AJ0SNznQby98nkOKYlqdFIsBg8GHYpeyJEorz2/vGXrJX1bMiHaxalpuxIQX87h4cJiOPGt8wxBHb/QE01UaeI5Dl95ldChs0RoBC/3dCBqq2vZSWneiv2kuc7D5cnzRDxzU6gSDy35hA9pm3zxV5ulT3h0OoWmyYWujWBZI7vz8oJfkfB2ojQiTUas7N0+NvUQrM2b1wUXngTaK8GAOymZ5y4PDyG52Lulw9UkWrMpQpikpg3A+RSbO6z+/kHAK/lSpxoHJcAM9ND0paOYL0jH6BDf3ge1qee4GY63BL+SSgpF09M7DJeWYqLt+/dv8/zWG/f+19//k/vlL/6z1dPnrGnatINyTiPR0q3ZvUeMX1pCZYu3rXiJX4KLfFZrXfM4a6647s/GvsLrbrWeBhube4hI+V8sHebJiRkm+hsfH3f79pzk1+SoS8Z790EMZoeH+1wHgAS5GxKRmsTWKSUllQMjjWCJh8yN0u/f/69mNCtxi442HeANR98AiIA4BpCDCE5PX4v79LM/mGhseTRgESPPsFiilZVxgnVQzALmUJLX9MelWeoqiQiOoa/w0zww+NWSP4/lIp3lNUWU/LR8/Dk0cp7rI5VPLbOR2tiH5I+31e+PnmWwxGdt+Ex9ImJz4sbjlJbedZLbZ+9RK6qpD7+VGnj3kC6ruUTU1KNH0BKwTSsqAIVZVYaorhLupwaUJQ57qdyHqO/GrdtucrzXvfP2uxiGFxmhUJiUwcFu0y8qZpl6l64xJjbPTQyNQaCKEM12uSqcDTc3e74bJUYuLCw3VOoosca6e1oQHxKss7fLUKUTk97zoujN6m8peWvwvjvBPVoq3N5XWsYLNuXtvaEv7uy2/DHY4LMWIlL+EytMlAxxxSnIP58Od7kO2rO7Hj2L9DeD5i1iAgWz0sTEJOWAGQiS2ISYRY5Uq6p248mhF3RguTmrrT901riRgcE2iNsgfc+ZPkft5+Zwusqh4xNJ5T0pbXDNT+reO0u3/JNbMY0tX9SK8Z7iVlMUN2RbE5yviIsxsrpfJalM3I1Qe7pW69BBj5cSbXYI0m59qBK16DgNc4Gc3BxXUVnuzp495Q7Xg9xEXKc2AkEInPLhh39yX31zwTW3drhbNxvRPUVDpOhX2lZNlMuiogJ389aX6BjHEfcl0nbaXbr8vnntl5H3X/76ARKBH5jvyk8wQE9DR/ov//p/0ZgwLDU78VF5wa5l5xeNTVxwByzP1qPnV4NpvGeVgvv/1MM9y7k+9SSXN9zokpf3tsrdlg+wTcYMm8YzWfIGn7UQkfI5hEFcEN368o/YIp0guu2ofrS6tAwAAjiWraqudZNwIQpKKMW1vD0UFZWaQ9qRMQARxH4SQcslrlQeNkq9fR2I2hQgsB9bpPvI9JMBOYCU4gARck7JE4fpyju6wg8A5a6WNrjm1bp8/nkvyKKMIPm7FTyc9YysluTQ1cpYm6RhoXrioiyDVtZWP1K8S9WRvkei1NRUhUxJw56tEpOIAy6PHz248rVGBUlw9occz1W7a+/s48fRIM9iIZz9FB5B4kzkqjnpB5AQe3Pz+FzMhZsCXCMQzdTUjBEsPfcpKcnuzx//XtUpyzLOS+/64XT/vheyRkhSwdBtvsHPKjh1m/uGCZQ6C/ZrE3nSi+qut82T+tzm5evZnqdeyrPe02eyqEfvxpYPvwn7GSJSPjfz6Wcf2Yo+/PA39q7gfUNfeKKypuaLyO8zCCnf630xqfHBh/9q9XyvC3YT9hIXF21eGIaHPThwWJFdJmFbtIgOR3ohidt8kdvKes/0fss/uWe6mi0ZzJ6X0Kka5IQhCOIpvNMz+KaHVEncEW9LhMqr5f00Ub4ImldZ9fQ8yRxBjn9zeQalAxV7FAh4cP4ouDCZIWRlZSEyTkKflGRntvcc6gcQ49ERJlNEa05A34h4GK49AYfFEucmJUmfOEcd6ZGiIVjZ1sb3Vi8/j4vYRyWhE1NfMr/Q9NSnrdLElVbEyyYkLXq96WnarHeMV6n+c93PTTjNt+NntQl7akTKBwZkZ+egNzoDcCIVwtKIf7uvsTVZ0uWMjkpD1BvaijI8kusQkM896aq8YwcPEnUHODwKzAlsbGwUyKsbwHurXA0GtB0dzdgdYTO19ygimAtAxdtD/elCBpnSO60/PeFDfkLx+sd7FVpo01ZP3uFOuR7CoH7Ju0G2F0xBsmTEw89THY8whRGt4DDWlV+RG9VQnnHbgudJdoeo2MAVNiZABtnPWZFeBKLBqDdECckiYeprTTWuhVOh3jyEyqMzOA3mIZZ+UWsSEbLEu4imCJqtlUybuT1HFBpQQnl+g2C7x75Z48fWsM1aT5eP720blK5hzRua5Vb3v6HJraPxdvrQn7CnTyhex6LXVNWIlL6YQqYNEklXuiiJOpKTD5hOIDEhlS/qnBk41tbuR+90wyUnZaCIjkHG3+Kqqg6YPurm7a9A+U2bndAO7E4y8dSQiE1LEbGjqqsOojf4Hf1luD17cHk0Pmxgi/14jKirO2wILHFTo6MD7osvf8+v1zTEMWNrWsBSpSd8yE8oXurn5bt6+mdKm6bWYYnbpZzlmxqiVaHq1FylC7+V34//rmY69EVM5nkepqaAomD71A1Iopc4ZJXoj6LxHOKlRTPi7enppw6hXjC4nZ+D8BiB8oiNERB17g+ohtxbXCm7poYRP92QtADVDa9vBWRZP/7s1I2B0IOlKwcJZj/0tkrHK+usocrKJtv7fqsXtNX9b+/dfdzs1vpUPtzHE/b0CcUP97exHKmXf6VvpbxKeFBvoL24/YmNi8Gg9T4EK888J6QkJ8MxjUBoBNOVaIUQ7nh+kPikD6PXq9e+NbHLOPL/OqLrCgklkYmQeoJye79W581nnpTvN25cIjZULYdOAIKnX8sL9CtC2QNYY9h0WSKYdqpsbI2R1hvYAV8Epy6WXcsJXzD5+cqxay48bsm7V16ojsqC5d67NdJLsI7e4cb4IugZkhhPLo5iMOJOBO2nGGdTk2Ouo73NXbhw2V29eoPntBO0aD9eUYSuDPsG6VKTsuTlL5UaCfML7d2nUUttlopD3SjLbrTCpd6War4EV8sW+yzXEz5w+PWznMMWjbXe5ay3/pqmvSWdrmnkjVQyTkod+CK2pKRUoLhyGzNoh0ZOTjac1AwEZ5TIuK3mcUGw8/LSHYS9mDf0XxZGjwcOHEXkN+jNBVDEJO6UpB8YH+/DieysBT2U7ZDCXcjtzLGG1/h13AnhGzVCJ28BObnZ6A48X3j+obbs0NnISp+yrT7WZ3MUeSMtrfvJE5YYaimtmOnjb5earbjS+Mv7XVEheBucLc8Ihz3zsHmL6ihpWlzarZ+n/GCxLjR1Fdm7f6OGAdBzwTbjOBnu6x1wLXjyUNu21k7AD9IdOdCjQ9jutePXsd0I1OjomIn6lj6ssL3ROMaAqX+NGSRQVsWvx5xCVMqGWPESnLzNVUVa94oqm3Krcdbf8dO1esSE1z/8Izpab3b4wOHX6+1nZf1N3Z2Vna/tfr3LWW99fxYrlrr89mk79Tvf2Pvyuay9r4faSVk9MzMHlDcbrmYQrmgXhAXoOXZROikUs0mez4eGejHs7TGClp9P9F1OAfk5E0AiL68ARXQOvvJuYn9STL1O66+6ahdule7Rbx86qUPovC47ATPElfkHnaDFpoN4aGZrX9SLUHNtxEiboLTaw6Xf8RKNLU+rE5i1b2b4vPzPxB9BvIM/oEeU/BJle/9gdayKyu1KTSyPO5sGazEuTPeeaE86UatPBd9buapKt6TnMTc31+XmZeM4OB30KD4VKZPt0+jIKCAeAmDiv29mxrNfM/JDhSAZ8iZo2+cZfS8i3gsnLrZfVu618cV/yvf30q41arBfrSu8XINYXVtf8NobOfK65h0Ibt6a60cqPnkHXo49Da3CB09o4QqZ0YOD1t7e9kfug8J0SPmswIiVFbvsUOjv74FQeSi+ivKdELBEfOVdwbK/xpyyypv52lJoWmur/qLUYll2cD/FfO0HvLZljck/YB9V3QgGheEHtldXxEMT9Q7lle0VeDDKn4zqce31pXY0s5tgHzT2+vLuvXoeYfLqMQaZug6F1fAq0a8Vqdj89gmOnorRuDxOkIX3/Wn7UTQ+jjNj4OVqQBNrZ1e6UUUlrj2iAoRC+cG/kJ5J5VbJq2d3ImZW1Qq9K12GbZhPmOydMg1nbcLqkBVJkR2I7MAGdgBxn/fVEnBilsi7P/3pP9iv0tb2e+7w4XO4D1rA5snjlG4TXVdfwm7cHe3fd4SmASLgLrrz537sLlz63ER6BfkVhgqUCLAC4pWdnWt6qHiMfFNT0uCwCswoOA6R4gM8kIsQypZK3JMOJP3S9b7qG1jV826qhYQfVNxrl5+UvIN79VrWpYq0PcaBhA9hmcsaml7HKvv1VGcpaXohQrGUHbyicHn1pRoqYjHi47QmXVtfQVCf16/yRLz8Vfv9qaGXZ/XUq7Wn3LL14te1K15A3wlUMzKG8a2iPHvtFdBwccEnkMG6aq2OlYJdef16eXoN8Z82DxEifTYeQbJ2elmagtexNfQ7VB+hXryP2aN2ahZJkR2I7MAm70AQOIGSGuNJwW2LisrggFLxNpHjKvHBJ8KSkpIIkq/Lwmlo/FECFArqm5ScYnGd8vKLzPmmfO7p166MJT/97PfmWkY6punZMcK9d+EqqR7xTbLLNNsWebOOMUh6Ij7TZB8VOmDWtUjv0Hpyk7XWe3JPj63x/7P3pt15Hdd+Z3EASICYCHCe51kcNJAabQ22Zce+vnbiJJ2blXSvuzov+0V/g3yOTq/uF71W1ko6fTvp+Nq+17MtWTI1i5I4z/MIDiAJgADZv/9/V53necBBIEVQoowCnnOqdu29q06dc/Y+VbVrVykGISgh7d+dCMCr8jNeEeAFXcLQgj7z1ClGykRMj4Y0pDrqcNcQOLdnV+U30Ocy69Hr2MumQdI46gWuBbhqAJL+dS0lrlhJQ+cc8cpCP/IyTS6j0Lr4YCmE4AlQymlYHzIoBtchs6s0hPhkXjqXXo74KV50mKrghCNKkMyHOlDAxU+E+qkuha9zVVyNovEZLhURYn08E952Gg3ObUT3D3hExdx/xUZDcb+Vv1/80dThDjiPqJgoeawKGyu+d2iv+wDl71+5J+rn5WtKhw/u43XCKSyWdzdRHKdPH2CXW7bIwAji5jCvY34f52FaPmvmIqzzWtmc8DRKrZO84bSfPaGuXOlL//RH/w7FNSN9+tm79KTm4gtwsY0ktAvu5cvH0+lTB+2EVXUNb9lELADu3VBaR1U2aFS8CCpveAdpyRNcQ5gKgSMfgtLJwplcxZUO3MhTXH+3hTuAbsMRL//qOIygM/+662worTQu+Qr6vvc3fk0G1sRhxlWPqfCshsxM3XgoODqXUAlUQPXw6vIzquvoOkMpOS0GqhN1yJ0IA6ywSl3LWbgKOa05J5Nq7ZLAJHSNnitSTDwFVCHOE06GCUBQVs42vQ7lL6MYz/HMQx9VCtH/i5iK4cINNaNSrrIdorxcSMW6ajdw1DY1npmsOmX6el4q7ssO9dX6suty3+Xfb+XvF/++KxQEj6iYsS1sNBfxEB7g+2RR9aTUC9Lut6tWrUeAD+PP7Kc2Q5cp+sGD+726X+/zdTaC0x5O8+bNB187m96gx7SQ9VN77VlCvTHlSx/cHO63BZ82LpQp+s6dH4I/7P2f5KBWm9QVi0Dt7CvjixCmmByzkaD4hziKWxMCOSwRpWikFIUfw4V4Ikdghyl7q70JlAl5bVg3ievTei/Nk8kVTqHTRPlk3BGo3vJ+XpSd6xLFjvoYgv5OdwBRZiEvpan8/KtDjfyMB0ZROBKCENcZHwjCn/nVPhqqSgq9Lp/obSHqKbaNmcFzJHqUFdDAF38phQpffKSt9J95Oq8UXuCqs/5IV/yCjKReEPFUl0tYBB3q3psSzbmRZU1jElE00KiOCrfofYlR6KBoM+epIkYRLONmGtMBKnjKVXV8faVevhDlBK1oxsN4C3x9WkAP+pcfyuvmmmhSPF7oz6uYhG18mX4e5uflawM7uZy5U6jfP0q+3GL1/83U0z0L8/ea54t62o6O6fTUal4y6vNKvLt7pi0MS/pO5/qy75TfACtCtQFIwve4iFSlFc/C0gKujqA8D0UaOivTIkBLjyWzNHMLUOGNlJEhjc0hy17jVPiZpBRpxHscQuGMKEbElOu8LKzVS1I0YGKodJRiWJ2Vn6uorJIf6JVydjLnKV6FYFerzMg0iEXhiEbxMs8ZTSuFlPeCEn+Awik0PitdzyenxU8EJCt80xvbWco11vjhXi2gmzbeTvdqofvP+/q2adWTamYvJfU0vvOdf4nH822po62L+aM2ejpn6DWttFHEzJkLWeV/DeezW9IqXB/J1HzKlHYP211lgeWa1VswF57HlgobmJfqptfShEKZj/nwXPiEN4sf//XfAm+29eDaNc9wPso2C0uhW5i62ahu3dqN3hV3KS6UtOVCZ2cPJvCxn5Qe7B//6H9m+HBWOs6W89//7r9hWHIlvYyJ6YXnv+Me0eaNLzIMOd/eLr7x0veo7+m0fv0W3DKtSNu2vcZ8xjD7W63EYenzOMtlMp6Fw99iDy3tf6W8bVtfodfIBo8nDuF1ox0FWtua424PTuXFuw4hBHWeNwIueSiVEwYNgajHKvCAS8Ar7Swjx3ucoyWvKKuMaJyQ5XX0ADQE5eE38auIqwIqchdXDsIjlDo1IEUhyg1+yBijAxd+CUGrlPACVzUzvJwzXHKq5ElkBZ8wFa9YEolygqU4V6FWrIsTvCgbAbidVXB7AKspkSAeqaBqorPEpJQylUgM5lBfdi7F96YqcTwy3gLjLfAwWqC2mDeP2cuDhLZJnzt3UdKWGwsXLGMPn3ls784OvR3d3jPq7NmjNqjQsJn89MkDRe+Fk6xj0dqqc2zPzjb0h2+xt9QslNQcrPh2e+hu0cJV7EuF4QR4337tX6Dk5uIxfTqeK9o5z8SLuhzX3kzf+yf/I8qpE+XWk/pYVKx9q1QHmRprKFKeCJ5+8lv2rq7huVkzZ6FszmPE8R7uca6xpcOz6Y0//Yyhy7VpKs5HNUS5EJP4Q4d3pcWLlmGRuD195/V/Zo8ZE1KTFaosxZYvW2uTem0pryAHpBEq6ZTTNagEq76sSwhBGzKsEpgWylnYhvqwsKzIYKBcCbkwRIh0pWWAuwwLxoxUEUeexK+Ds4VIWuWKsGTJ6sJJ5RUURYRWwzM+4KhThmdeOpmYs2giLSFuAmVWwaiQK8tiXnGFDCtRr7SFUbRXIHm9ks3dA124pQUVr4LRpUgqiCNlrV11DwwFCUSh5stpJFLK74Er7IJrbCk906os33dfVQ2jVtPb2Y5DxltgLFpA71j9EzgWZXzZPMOygFoUIwNtNHeG3s15tuzAlgrz8/k4hD1Fj+QEHqkn07toRdHIGk8LfmcxPHMLhdXBot2FKIkP2I33EN4ATtIrw8vE7AUMy51mP543fZ3r121Kw0MTUIBLUB7NmKq/jSKa7R7caUzRp0yZ6jmjbhYCHzt5wArnLO5uFLSB4ooVq9nn5//0Lrs93bOBarFni+e2fv+Hn6P0FqG8vkk9PjLNxIlTUbhTKed9ZNNEXOx0WJidw43TQP9VeodzuME3UKK78B/YQXlX0wcfvo3j2w9QhJjkV5sq3v4YWBlJsLqkOBQFFUI5BJlgIVwlHMHWP21meJbiEpj+ibDgK6/eKEJDZc4DrD/F/Qta1UCeGlSfEMOCgJPplHKmoOCVuOEuVgVGqOjFnz8HJLPJJKEJgpqPLe1IGB6UgSGsXBvlZaCURvkLLpFlfiIJzuBo6JneEHQ2ehBd+WUOKtN/4p2rqaE9G2FUuDX+YbQR84JWXhlHpdaUWSjLXF1lxVCrS6rHA6MOydG6tAnHD+MtMMYtEI9cfvjHuKwvi3013Kf5HgXt3/Ont35tazxtgXD69FGs8i5g7HDVPR+Zn/f2nmKtUzj1VM+ojwW8hw/vTmvWrLMhRDdrpOiHANuf5rITajf7Sx07xm6nCxemN974BxQinqr5Sj57jh1UB68Sb2aI8AmG/o6wK+pBFmpeS22tLfZUMWv2LM7HvRX98eOH07e//UPLo1//+mdp5eo1OBW9kd7+829d9zWrN6RZs+fQq2KjRnp3y5austXiseOH7Nx23ryFGG98zA7DrPHi7mq9l2Dy1I5oS9u3v5GGbw3iMFfGFQNF7pl3ORTlUNLlXA8v8UrAj+BU5UvqK1gZcZJSKD9o4gsCHOOFwqjyC57O4h//dfHg7TxBzSbOgat44EQdxKIOVvg60+xVUf/5xcjlRVx0GRFA8FE6+AmnlOWzaWs0Jc8cpMD5E62Cji6DQ02RBNBwRVFMoawEkfcSThW9CCMt+uAqXoI1hgaYyTLSHXBFqTIdqkpG8v6OpUb3RzWO/fVtgXs9EffKG7sW+XJKLdej0j0bohdOikPDJC1sKHf9euy8WxC/yHkiCzCbMHwow2gjea1ctZptwhfSi3kHBVO26ta274GpHtbQENZ37AvUP3B1JLnT6lGVvYAkMOsFTnNzC72i2tbuIxlMxnnp0FAYgmgoUds53C00CNSMVASvZJbKjnknEvp3C4OYpbiS+tUdlHI6hHMk73W0aKy7QKVjmFBF5nLJFz/nORMkKlOEeVSrVK6U5pqBh2GBePpiVLXoXQirUChP2apG4GYeJEobFZyCEOkoo+CIo0chM+NoJhL+D9woQaUoZFjJMkyVcC1yflyn6UqW8XRQXjacyG0oShkM6Rx8aCUnxEEMTOZzgctwqBYXWSYQj/Ew3gLjLfDQWqDqSUlo6EXbtOlZ5p+OpVe++QOGvwbT0qV4Ksc8fCm9Eg+tYTn35JaX0pbNL1qpyTDhTmHatK40jyG6trZOvAX0WvDPmDEfg4sNGEnMsVeLAbykzyR+6+Zkm6pPZvsP+f9TqH/n1cubOHGye0VrVj8Fj83p6LF9xluxXPNOrTbMaGah8KSJ2tQujB2amqbBZ5i0TM/xpo1ZeyjiYYw9WolL0MYeQ01NeHZ3vNHs3YVUhxDMdckRAlmSU8YSIbD83V5kKrw90KQ0cf1UXvUrwrfKLnlaByX0kg6G9Wnll+Co8F0L6lHyFM1x0daLVIGdxUF0hcYGIUZ0bhRRMVFSdQpwOSrpuTXnOZXxov7CU/n15yiylq97r3oUPKtbYFb4bt+gV9UypxzTMwxEQOGrkBGheq5yRM98wVOr6E9lK7jnpWjhVxErzygP9xDFPlyef+ncxtv0sX8CGOiKV9PShjdv3vyF3m57wcLlGDKc9byNekDzFyymF9OfFi9ZkRYtXpp27/rUwv97r/8Nva9hlMzJtGL5eoblDqM02hke7MV57Cwa6BaGFCttgHHixEGML9rwXDGIgmhOS5f8EHPxSxhYzETp7NeoV3p22yK8W8T81IyeuWn3ng9sdHHmzEkrskWLlttZ7eGjy9LWp16jrueh3esboSsZHLrGpTDkw9/wcG3rBvWkvI6KXoKMLW4MXQ8hxPVLcQ0NxaZ3cUdvl0B+1use+CJAhS+ZW7IsSEVuQBZ4ync6sBppAxblioyrEH6WghaaBQW+Zj1SM1TlhfAs6KrDHb/wxV+ZaiUKUxkOmb/irmMGOy/QawWUMn2uniI4ZUTqH1mkiZQyxPf2OgWNjiZ3gaqbIxlmbtRLzMRDdQxYxson6MrqCBgG51y+0KNWxq3qUdpaPPkLuBO5nKAyEQwb6gVaxccIX+Dg+n0B+nHS21vgIbdpeZ5uL6gOMiqkOvz7iY4l7/upx0PEvdclKY/dnCJouEM9jUEU0qqVWxDwKJcFMu9uokfFZnKgDaFcOlmHJKu3nbves7n5Td7YwRvX0rJlq1FQBzFqwDqQHtE0elBXr11i3ucIBg9r6CGdp1elPau0MR17AzFnJCMM+fbbs/cjzL9vYF23BjdJB4FNx8y8x0YYc+fOI3+/FdRMzNt7WON062aTe3OXrpxlS5Be5tGm+yI0VBdrYJBS1EtDl/UCpHgdkFItcAnPkXi5SaqTBXadYihKRm1SJ76yIKZFnRFqQBiBTxoeNdpaXPhVnuMmEhDFKmb5l+kLbuElvIjXyhCZYKW3WPJdH910sxRSjjui3PJEKB7ZjmQwJdShhOqp1JxxQjErqjY2yIqFmNPAOAcT57rdhGn8AJmu3CPR2T5Dc0++tZkuKyux41aDYy7B22W6SPM3Q5dR6lV46Bxlu36uGyCCmkahgJw2etBaRwbK+PEvpAXizn/OxY4K6XN43C17LHnfrcwxht/rkpRH3yVQ5LVB+0ZJ4Exle4QPP3qbeZw+huWupaeffoH5oNZ08uQRNpl7B5KJ6a++/zcWgs3NE73L7smTh9Mldtbtw9vEdRRHBz0mze3IOa2GBCegDk+ePMoLP2QrOikbDcvJ7FzeK1pbmqyUFmFcMYgxxBnM3LVTr8pfv36tm2nRoiXpQu/JtHv3Rww9TsY0/RyGF9dQfGEyrktRL0m+AHXWNU2d2kY95cGiyWkxUs+pEvDmfPuhCCjlRBzPFHitMF3JRAloF+FWfhNcbltqQtGrHlISKruJ9Weikc9CA8VPmZmHosW7hMsC4D+djRfngiOQQ0Uf+UoGeskoxeX8TOhcDj6rnqKLFNcQQ4tRQMBBIehoCmJBJHZFeNfO5JkgcExCpvIFjiwfzS+UUiiICsf4mUA0mZ6ory/wXIvgW5dfK0SEogj6Ajet8cU/yg0coReeNbjydNViVa8wBVcIeMTHj+MtMLIF4o0ZCf3LS3/RdijvIC9j9T2cprDvYN6exy2qeakLvefw4XcRQYHAZy5nCbB9+3Zjej4HnAn0mE7agk6Kad68BSifc+z1cw6LviUszj1k8/EL58/B57x5dnV1Gv/o0SOYly+ivAH7AFy8aKmHDAcHbyLY8TKBa6TWlikorOups6vLdai/zW1tHSjG0Rt5eCiQz3EpMCkQDQFqR+Loccho4oYF0mSMNLQOTD0+LeiVo9w+tr2XWyXRavhQQk+9spFBNKKNLSQStJpPG0LJTeSHErN4k9CN26dzEYL1cUlIb3Vef5clX1Vg7ik4VWDirErlEHEJXQD5Tgumv5wMzExSKR7zK0SiNSBwS10yjYEQyvghPDuATtrX5rJqaZVd5YmteQVD40cJ1A1YgDP7nBBf117gTJfLyKRqALePctX7itZSKiqs3lY0iPIUVVr/8RdQuAe6e2eGZRbRphkLWNl/qtDd7Vyrwd0wvgrwx6OWpaUer9qWWn9FzvfbePeL/xAvc0TRE9h5dwEey4/ioWEpZuMH71pUZ+esdO0avZgbfcaZNEluiz7fO8OCBYvge+SufJWhXo/MwoexuNOeVVoEPB0vEx99/IY9Q6hHJo8WXV3Tgb2VNm96gUXEZxhSvMIarjbM3heknZ/tSN3s4jqjZw5m558w7zUDITqEf8G7X9M9K0XmgvkLbFRS8JqaJqZNG19AQDclbW0yj/VfvSjzg4d20rtsp65Ppou9F/COcSQtXbKcsg/RZpet8OqFXSWgR9yNUo7OIdAlVJXiIECOB0x5BljcGoVktlkTkfMrekVqLBxX8QrKKrwCwrHUrZxzRqGpKpjpXd9SaSpjPBUpbVYUTJUPpIpLwYk5h/hXIkigj+sWo1BYnp/KSjRfPmRGdDso5gvSmVB/XSWus+MuV0XFR0PwM4eKVijB09zyldVwjPhQDlVJD4Xb48VkrK59rPg+Dq07Vtc+VnxrbYoqiJduIr2DmyiEJ7e8kA507ktLEKptbd12IbRv/2dYw4Vz2fa2mcxFzfY2HZcuXWBu6h0MI5amfft30oNamtas2mJTcPUa3n3vD+xJ9RJGFJfZnqPbPZCTJ/ez+FfbgKzBQ/o73nNqMo5d9+55zxva7du3y72Znu6Fqa29g4W2n6aNTzyNy6NmhHuiPqsYSuz0nJW3FOnQflXdXjg8yJorreNqbW1Lr7763fTeB29RzurwKMGchXpLUlI/+Cf/liHJqxhonOJa5qYDhz5L05gfk3LUmq9prV2eb/vkk3fZXuQpr7uS0pkzZ37aj/eMaSjCj3f8CaXYa8e1uubr/VfwpDED45ENVlITJtx0etnSdall1/tp3brNKPQBNoG84Po1ulvSXQg5LMFsoYoQjj5BEYAZh1NAyAUnUwWu0mRGL0D5IXDFW0I4FEGhDkEcGMACbBrVoQhq0Trk/IJXA6sOwi+chCihHzBnCKI0SHEWTilf8LhWlVnRRrRWnC8GOrpHpW7RPpk5pxLE3XkqTIFThRsQt0dRUgbl8kp9Aw3CAgegct3kxINf1Lj+WoLuYRxz3R8Gq8eOx1hd+1jxfRwaeKyufaz41tq0MkGXibaGujY+8RwuiLSn1BSUQRfC/Ao77+LOCDNvLbJdvXoTwnwCyqAXpTLNvvOkNHbt/hDarWk63iLa2tqQJXKZtI7eUELZTPHcjXpA4rlgwXKvh1qO26UWlIO2AZE/v/PnTgCnvCXL8MX3OhaBK1M7O7LK+8Dhw595MfHPfv6fOM8Gvynt2rU7bd74dHrrz7+kp9XD4uATnkuTvz/x+/Cjt9KyJesQLBPTr3/z/3h54lhvAABAAElEQVR+Sx7al2Gg0dd3hYW/s9nU8YZ7jT3dc7nO1QzvdVCHC3aR1D19to07JqHKmzAG0e2QQYc2iDx0eB+9oqvUuZedh2ezf9Y/ogxnwnNu+uST7QwH3rDJ/ny2KNm9+wPqdhyleBrhmPs2knYSgASdnKyDGS6Uhp8S+pewrAnIICPDOaIJooCIU4bVnwMIbn7IoKl/3MSiPq1yHcQ6RxtOdwAK5LpmQvM006h/EfXKLlcj5sGqVrroojaRo9TdQige4aFGipISsthxrQI5qmRmZ8WpdP6ViOtUq4YmD8EYGQIWHwCl7iNxHl76TjV4eNy/6pzG5urHhutXvS1L/R7+1T9sjlq64zB4Ixa7Xr9+Mf3+d3/H2qaTmmTA80M7LoT6GH5rRkHFbrxHju72VhyHj+xlOG22Bb6YTJgwlM6cO5yOHN2fLl6SQMbP3mSZfE/wMFdXVztxLdK94Z6Lht/Onj2CoD+GsQYujFCUCocOHUjHThxAsB9JH330AT2XaWnt2mcQ8medf/iQemPdaePGjQy/7U9Pbn7BvZsdO961kt36zGvpxMlj9NJWIJCG7YtQhFdRKgr9KF5t5ChxNQ2Lw97esyhRKeEr9NYm0oua47kwbcp4vvc4hh+nPIw4lQXDR47uc69Q3iwUXniBnmJfDHnKW4dM2Tdv3pY2rH8ahTwdZT2EO6kW5u92uTxtBxKS8pZ7lmqbiShpta8MOiQHw5WRej4SevFn8ee02lmp6BlFrtZmGYM8ZVq8BkRxwZSqP1dwM4Mb0jjQfLLgzjilBpFB9TOemYqvIhL+EFVKIuOExZ2QQkEUZOPByHNuIs/0ikS8xu/2dJRTyms8qzIyAdS5FqBQJ8yhVv0Sq2UoZm/uhV4oFVoA4xqDVymowApZyX3Y57Hm/7Dr+3D5jc3Vjw3Xh3vlD5NbeZyD58O/+ofNsepJlYoPMa800D/gIa6jOJVta5+GK6Pf8YL3e7hqP8NvV+mFnGenXlVGjmB3fPKO54OkfNRD0T5R6mXs2bsDI4wmjCjOM7T3QWrvaE8H8ZN3ErN0KZ4PmU+Sv7xe5m2uX+9DQE8gHoYVMsS4gNNa8Zo46ZZ7Qe9/8CfK60IBXkDgyvT9enrzT790HWS6fv78GYwxUKoDV8xX0q65eRLzVtupTx/111ooGYVwRkFquE/Whn9661copevpIA5ojxzbwzblF+kJXWNobyfXoyHNj220cfr0MYwsrmH8cQJ/gFq/hcNbWlBKWcYSczEi2bv3U++npT20Ors6GF48zJzYR+79Xb58zuXJ4/ykyZNtoi+lOMj6s2vX+oGh1GEolaM/KyxujJRL/IW81L0iVxl+zpzOh0YlZcTAybgQVmkJ1kpx1VBdViAFrgR8fcmFVeElrOCTmQcg08SpXIEwYhhSSHWB+ykcCf2Kv7KrJ55cskMZZLwqW5TUUuD6wPWVP5evm2+cuB4layFKV76uRVkuS2kh5UoVZVTRkXkbrMocj4y3wHgLfNEW0PuX31wJB/k94yt0lEH7MsllkYbxmjDPvlF5Db87g9ZpnWyREa6P7oQlK7ohWdiVz946pMkIdrlHqt/rSabdMlNXmI1rJfkavFNobelyD0XzSAoa3juPElTQ1h1H6BXeb2hnmPMKi5EV5Ofw+vXr9PC6PK9Vz6vUq4fFyfI1eAllpTBr5gIUsRY9T2NYsYv4eZQVShn9o3kvLwoypkWwY+UgwSghazlbHYpwzVjGEZ4RDCzxoA94fTwUQQh9SWeTgiZh3xD85MTjI5wsw0HJj1QDshLwJCtUQS43oxqmeGaiaEOo6BqgrpFxxU4Rsy01zWU4q3DMsNweGT0zDQZx/QEqbeV6QRP4wSMTcVL71lLjsfEWGG+Bh9sC1atdFNTLr/wg/eGPv0kvPv8yk/y76B0sSnv2fMqwWLNl5iQ8Rciybt48FAJeID799M8YTmj90lmG1VrS0qWrLaxbpk5NH3/yp/TEhmfpDfWlOXgcV+/h4qVT6dzZC1YM7773u7R61UZ6Oy30Vj70th2nTh/3FT711LfoFXXQM/mYea6ZlHWYoUF5Zm8Mc7Dkk6PYb770A3or8+jhvOuFxRdYm6UhNBlzfLzj7bRkyUp6da30bA7A4CbumBZaaWm+aN26bQxvXqB+WgvVmv7xl//JRhQbn3gxdWBBOMDw4KpVG5jX+q9ebIyNCUOWsLFwwiISgwrV4dVXf5Rm4J3908/eTUuXrEUZ9aLEp7j+O5inWsN83gB7Y52/cJweUxPWgEvpqV2yZeDmjQwbYrTRhxLVVim//NV/xSKx26bspbdTyUJFfOe0EFmJyAmhKm8bKCutbgXHAlQH/9fjKa/4n8tDYeBZSMPRAfQitMW7PCziorgDCGWjzFLPkhX5HAuB+QVl4NYEfCnHcKOEOmvgVcdqJLyqnHFUYF0dXQEpGRg7izrXXauLq+oYeYFNXARCUL7aURWtC9Hm+TpKlnDHw3gLjLcALVBengdvDMRtMJGiGMB5q3oYP/rhv/W72Nw8zX7xtO+TFvaePMF6p+Wb3HuSqfWC+UuwYJvu+aV//NXfpWe3PmtrPb2jg/CaMXMmBhddDKUNWEFIaHdijbdo4Wo7i/32az9iSKwHgT/MvA1++xhak5J66RvfS9M757LfUwvbazQztzPT5uZaQ6VtPmTM8c57v07PPPU6hgyzUHDbUaJtae/+D1GSy9wrmoigXzC/h6HItzFRfzYdPrKbWk3yPNFvfvvf3GI/+Wd/6yG9FWzSqHVbH4HbRf0Utj7zDXpmi1FkWPwxJNeHQccyLAW1ZchsDEuuYkouy8ZNG1/mGtvSJ5+9zXlq2rPvY9pgKeXtpKwehuxa0u6977JR5HPMte22Uckk/BC2s75L7pxmzOjxMOXJU7iF4lacwGtHy5RpSVNX9pAhJcBPd0k/C8syvwNEc1oSlJXQlRwVEt0xwyxkQ9iKXnI2giLwBaheq4YWJcQtdI1YKy8nXbSh6m2LMNfLVoZVHQTPJcC3UjpRXPDPNchowVIwAFYO6sw7HogqKsYIVcOKKjJ9hLlpcv0Fo41KcIyxQFeBg7ZKqfGPtjFbgTNdVY6I9FOxbqwcB+a2IqlM19FxoYtgPIy3wHgLxMvzxdqBgaV4obQ1hcIN5nn24aaoHwMKGU1cZD+oVoayWhDECxauSVOxxtt/aIcNBE6dOmrLv7JodSqLbk+e3p9OMD906swBz8NcvXaRr/0B41++fJZhLYa24HWOnk5X1wz2rjqCd4mDKLo2hg3DWa08OMhvYAi4SV7oGx2GSYgDVhqjbNIt4ph5T5zEWiqGGSVDZrFzsEy71ZuShZ2Uwdy5i61QprHnlVwwncMCUOFf/83/gjI75Lic2jZhzXjo4F5bBArY1tZujxc34a3r1x5ZnSgybZKofap0Vu9T+2lpzkztpvrOZghPddjxyXtYAO5lrqoVpbaEYbwr9EB74NXhXX8v4nRX5u/a76qNIVBZLO7HjH/3rs+owzupnWFDbS1LCZp9iuBbxYFyVJYFIxeuuJSV6lOCRG+IZeEHjiNKOJQzCejjKchZOmWY4I15oXgsoKWYbssFuyKAr26cb15hpHKBi7ZUARTrDdHx8ykrPeNBf5M/QEFXn+d40BS3V+Iv5vZLqDMKTLRZ/xi5FM2OVZGpylTAiNSUUK67KqaQ61EjCHA5FjYlPX7+6rbA+L16+PfmYbdpZTjhN4/6yr+ehthkZn7+wlkczi5KO+QKCYXQjj++EycPMTR23oJYXiXmzp1P72GHF9Nqb6mB/usYXUgxDVkYd3Z20EMbYC3SbuOehL734gV7pdhDOeoVaet5XZiMKeRIVkJXi37PnDnOcBjrluB7/vzx9P4Hb6YDBz/0kF1f3zWG3nbR+7qEgcYuelLTUg/m4RLwGkKTUNLaphkzZqZ/+MefUfYclMkE75W1csVaK4Xr/ZdQjh3UZT4K66ANOjSUqS0/tMPvInbx1d5UR47sw4/hAkzJP2EDx7dR0u+zIHkXRh6XsEA8hnums6zn2ps62HY+Fhi/R/lD7iHNmDHDvaef/v1/xKx9lc345XJK7pwWLFxMu53FIvIYw4wTbYwxa9ZMeq9Tob/pdnDD0B6hlDjnvwqutBpPOPqzN0ZJU37AEdE6CSH4OZ4PJjSp8wU1Kx2DqJwywe0nlylca5xMBFXEVI8cABRoQHIKFCs6X2NVbO16zQhc8iulkYvRqSpBkboyKlyB666zwjc8VKxq4to0MARBDHPILJyq513y63Hry6jlj4zVeI/M+Uql71DNO4C+UlW+d2W+ArW/QxXuALr3ZTxQ7liVMlZ84yLFvXqntJhVFnqjDQsXLkMwd9pyTy+xFMNYhslYxQ1hofd5QXNRckt0pyCffndyZSTcYpBRzneil1skGW/oemU0ogW62qV4OguKZaVYgnpiGjq6wnycgnwNDgxoG5AEbhfGIf0YXcS1dHa2oOiuew5KdasXiHGDdFTI/ZbcznHKx9L4JKXgiouiuL2lVwE9eEXI+qy0/kwnXopTHnV3qYILWvirGgTBRFQUQEkL/PlBSqdgKQK1iqxTCiH0BY/8jFXDcIGiFCFH1U+4guuUz1GKqBUAVmjl+qTGG0PtWkVXrjHaqB5T7RacMw8KrdHWY95PPMq8H4qxxn0UNRrbMsaW+1i3/4Py/7pcdXUd8mMnE+1vfvOvPSdy7tzRNMAQltYe9fTMo1dwgl7CXIZOhjAIOEtPZJHXOMk90qVLZ1jQujR1MJw1xBYYZ8/ItHuS4WrgGT3zGS4LgwgpEAmTIYS7zMkvXbpobxGbNz6fDmFhp56NjCG2s9vuBjxNnGO4sb2th6G7lN5482dJW4NoPuzi5ZOsrWoDd4kNKuSZ4plnXnVPT0N9K1esx1/gRtJHESQ3KWt6+v0f/t6KZRDjBfn8u3a1DzFzi7VRU6jSBJuty8mqDAG0mLk4h9V+VjJmkIsmKaVJMr8DX97T5Xld81/yEK/FzRMnBJ5cRElmSqlpGE485PNPMA2tan8spSUEbcpOWh8IuiEyxZekdefEMY2YUVPKK26FVG/9l6C0htaixxFKqghMoWnIS0F1FqGEeMkXXHGz87kIcPAFdYaw6oLBd8rIOFyCytDBl5PFeR2HOriut45XXbIowQY68wr8aCPKUGEUpJqLvLDLWGpOw5yXD14PlccAjRfIdUU1Anw9yq0KKPkAqEh9e6r83KJ1/MajX1YL6JaVu/Vl1eHrVu6jatPKcEKOVhU0N3Lt6vXUjCf09o6O9O1v/cRzSCdOHmE79vX2nHABxbEaV0CXLp/G6u4shgJ/zRDeGYwu5mBccRjjg9lpMfs+nUFZaa5H+0Lt2v0+D8l1huiOeRhM7oYWLVqdfv6L/5ie2vINFOFs8g4zx7UUIdCctm79ZupjPqsZ56zyqi6jCQVtEfLMMy+moUNX8Yt3nnmfAazm1lPGHDxlzPMQo/D27vs0rVq9xQ5uDx/eY2UiuIJ6GhoSdJxahbNYCVOaXUKV+R3Nc0kpFbF3QwLQAhflpKE4/WXYMD0r9dAGcZKrBbkK9igO75jrE64sAjEJJGJLSsS/ticxLgcNj3peqUAsEVVKCDspTcVUJysj10zsVC/Vh12VGZL1NWiujEXMKkcKUOVKIaqOCqXeiktpDeH8Vmb/URZlUraFPwAttrWhQX7DdR2KOjnirS/tI75CCH5EM7Lr5kwdoj0dy4qiyqr4giNGVbrCCObmwsF1VGkRrKjMUzERR6Vl4GHFlGvmvJxtylxht3qQ+MMguOrDRHXJ2p5oKVEsGhSUCHSfg7A6Ci83hvOruOC5bEXHAy3wIO1xDxq3/XjDPtQWeFRtGhKVqg8jzBQknDUXdZVeRlvbdIbAtGvuMaz61tAr2U3+IMpqNb76dtgIQH7yNIfSibujAwc+QSTcRGmtxHLtAD2r6fRg2plH+hQFMou5rs/orcQw3CKUzry5i+ydYQoWfPIDuJy5ooMHd9FzasccfFL6wx9+nt5//02UlBbihkB37+jEsfTuu29Sh13Ua136bOcOz+moh7Vypbb1iMs6f/6s3Rnt2LE9/ea3/5+F8wALZxUkVCxYaOkG4UpeiBeeeN8FRJkks+A6O6oDWPVwI+gQPZUgDjxnFVwxcNyMgl3FS+bjsZRXvbNJ4CkllXPq1Gl+Z1AoUnTiLk8eeM/ov0j9h+ymSvt4DQ71Mcd30Qrp4kUUMYpKw7gDeG1Xr1W/ixd7q/gV/Cr2s86sKFfV1QpKkTuE0mZR+9sRnH872JDGPDWu2oLy8r1ozK8xKe2c0bl23bu6dhabXGnVSz9xDxWVTfINVY4y4t5L+foHKOh1T8kuCk5lOG4E04lczAPPUdffcB0ybeQUaNTKR9974KG5C0IjegXN9a3So4k8CM1o+D4cnFHXzu/e7WXek/4uNI1c7smhEfUxSD2Mq3kYPO7YVA+JcWU4oWE4DUnJr502I9SiU/U2tF1GB8NyJ04cYtK/jy/uQeBXMALYhGCb4L2cmvD8Kks/7bB7k97BmdOnbIZ9mf2etOfTVRbv6iO+B+s6GUJcv36NXtYJcAfTe+//yUNps2bPQRmesmsiWdN9+OHb9NRijmfzZvwJsuGhhunWr9vCRocXUXx7cIb7opWUhhvP4AFD65XkdaILYw0ZPcyB5yWs6GRl180uwUXRydw+5qVqT3UlCGntEreyklDxv3AbFZPxnJfhxCVtLIc4SL2IlmYChrqJDCWMY3TH43tfHwRydCtz+J7uLit4fQDcQDG9/p0fpyeeeIp5rcF0+NBBD1eepyep9V505DAQmYd15HFM92diLTidHu8Zb49y8uQJ7tkAa7VmpaeefM7r3pYuXekPhIXsvrxwwTJbT8oxr8qP4L4Il6Jr8CX5OhylGUq9A/fux9KOd8Nwc9wts4JToG+TDxma46qImAgFoZ9rW51dUxfiGpvWJub0OBWMnyuhU9wF+EiBZN4qKfKMUBKm98HgfD+reElnPjXsIIGh2kZ8xz48kkLG/jK+UiWMt+mjvB1qbb2HDsWoAEcKCT2CcGROZcok5lVYK3Sl33M3mpORkcC2rS8zF3TKSmZam9Y4Daf2zmn+0r+Oix8tRD1/PpTMNOZ/rrLnUxMWbM1T2q0sJCxkRScTbVnSTe/G8ODCBYYbZ8H3TKmSzzI06O292ACrT8xiiPLM2TBfr4fPns0i4NPh768eXuIedtNQ2QhpEckQJMY1IIRgfV4IGjVhEUqOZpIsiEhJmUsilXJMZ5Go9UnkIRSbGF6d0dPDuq/prK+id8rHgW6MHOBeuHA5vfrav/QWJ3LBdINhRfWkZvQstAWjPgRmzpiFMj6IpeIi2A2nDz74c1q3fiPxCem//Jf/Iz337MvcNz4ihifYPZVcQ4m3eiTarPKtt35LuXgDyf4NQ+jH9cRHfzwmNYMMX2bD4W49oQakOyRKu9SyGh7LGphYaf/bgFHJaE+RE1Rjd2yiiTNteeDJ5T/4BbbuMJBMIyL+q56RcCJE24h74VUKhLbADIoyAq8WVxn1QT1DV7YeSLziNQI+nhxFC9yl8e4CHgXDcZQvqwXKpzNf0WERt2XLS/aGIJ9zkycNM2x3iIW5MRQoBaUgK7Zf/MPfVXW+dlU9hpvpyqVw4KqMoqAUl4JaytYc6kWdxV9efZCCkqm4FNQUBPWlizfSs9u+zSLbT2y4MH/ekvTOu7/Fue1mC6D9Bw+nrU8/yzqo95kXW0/Pqx/hvIue3Rp6F7NRek0Ye2zHwetWfOodoKiz9EjkjPY5ensnMOA4Qe+BxbZ4MZdwl6K6XULUKRSJCskQPd051ARbAOILvBw1QCcBk0VepivkkSeW5JOQsmniI2AOCnXh/Hn0cGbTI2TxMn4OtbnkxUtX2I/qQlowbybr13bY/ZRM3bVOq729jUXD+zE8mc/5gD1t9DKUd5UlAHJye71/CG8g81zJqXgAkZ/EoSF2Umbhs4a31HPWho/yO6gQQ35crK8gTnEVGh4TBjlU+m7K6F55QX3nY+FnEU+bqO2iXBUomhDiocyMEL2dyCGbfOqlP7Wn0EtQ1Hw5R7xwpgy3fy4iE1gngWncouGcV2OqKtkCsiqo5AXPAjaUevmJUGGVwgOv7oEq113aIVelsCnJ0Z9dwdGjP/aYd7refEtGZpU79dhf81hfwMiGqyvvHll1WA8vWhlOFJYLFi7lXWpKcusjoXUMrwj79n+SnnzqZYTkp94UUcNu5/AMvm7tU+kAeZ9+tt37Li1ZvDbtYCHtqpVs58H43nvv/xbPDa8y59GPcIy1R1s2v4LgPYehBWug8OJwkmFCbVb4zNOv4H5pF1/1J5P2shrCkevePbvtjujd97dbCWkIctasBQyHdbOl/bZ05PDhtHHTUwzlxVqsVSu34LHiGMOBl1lntRjhz1zO6QMMoU2j19afNoF74ADbi2DU0cu8m5SUrPMkrG8LWfCFoKk92orpJiF7aiHHfQKhWOBJLEqwVqgmjlSBqY07cf80m57QkkULGJJ7Im3YsNaeKGQpKH9+H37EJoodU9KWzZvTb3/3O1+PLA/lKf4ca6wmYfq4BI/vBw7sQZlvSBdInzh5KM2fu5iPhbCqlAsrzd9NnoyyYo7vGuvTdN3tKLxQ5ngJ4b6qtkV+WjFJsKqyqrtC0VaRChDHcj114PuOWjVQThRVCiztpxIirpwql/b1rRKAutaEf277cqMgD4OQoqSieqXeJhffOkUiDOff4ZrVOW7kRLoOz3UyAzjToOUqzNFl1OOrcjWMej5icd+hNM59E8b1FnJde4nfxuqembdhjy3grpW8R/3HtkYN3L9KTdVQsXslvkJtipKK2hTLr2YcxfZf70+9+JFrxu9c67QWXAEtZ/ipNa3fsBnlgYPUS5fpmTyDodMkTM8XWUlJaGprik3sR8UgFRP5V9jG4tvudWmvp94LA1jorUYwsp36lAkoucN4MY+e2bPPfiOtX7uNXsSC9N/++/+Fld8h5oxupUtX2G4eZdJBT+vP23/pNUevvfpP0wcf/gmLvidwM3QiLV++Ir37/hssIkZxsl/TJlwgLVzI1vYYdshZrYLM0Nvbe9IlhtHeB3f3rg/oZcTWJPZWUQSZsePgD189XQ5EkDo1tCojstWEdMh8sgCqPZbGDPKgV1zoMJMwasLqTj0izUGtWrEsPffctrRi9ao0ER+CCguW9NvK8me/+DXe1HeidA6zmePvUewXEqOqrFNrTzs++8jzcNNaO1FYw/ge/KlpNQSouSkZr3wGTjuGMLNmzkk/+8V/1uU4rFu7AcOTT3BLpbkvjFosLCXsI99XkuOChBEJgAyrF6gjhXZw+IJHVcQNrzpZjZlhyHn1nAgkrJyciIpVvS6ySx2DWjSlphE3Q+GJlRI5EnGwHVFGLQilwjcYJaN6qr5V57wwUonEGwjy82SYcyvmUleNkCrrzhHVT3weQqhnUx+/jfU9M2/DfvwAY9Smj19D3LnGD9Q8D0TE+tVSheIWaWDgcvo5Q3kb1m9BuHV5ol6KyKbgAzdwe3QIH3Yb8tYSQ+no0T1mIYezMkaQ4cTFy6cwY7/GhoaTGErqxP/e9HQhnbZ7ohbmoI6zB1Qb3isGMQJQkAVfJ37uDh7c6/SiRSu8jUYHw1Lz2DRw+YoVeJt4w3kywnh22ysYchxJ//xf/I17Q+qRyU+eHNFK2U7E68JK1kip97RmtZy8trtHt2//x8GDeZcQYk5m4TGiBXkJBbEArEcLKDTkGiGTC590vLshBEPYQKwv6YwrBMWdR3wKmzNO40NAW6IsWDjfni2koIb5ABDWpEmtae78hWnZ4sVp56fsCtyKGyV6hjeHhrGuZDdlhOLMnhk2aOlnPywpqK7p7QzVTknXuZdeOMyHhbZU+fP23/lK5LFdJu1alCwFpbR6VWoTKwJfG5XTxeiX4boE/SSHR4YA3SFjJOJ9phvuU6GlGLVw5DlBqlaD0taVHz5rtFK3uBG6BtOQdNwXpkuN/DipPRqHD12FQHFb5GIhDLUiOpVU6IVfyirNKkLFhWh8x6N+fi4ABihg4nHPMEq0e/L4Gmfmpr6/K3zc2/SBLnr0TfRAzfNARHaCl/69qla+Ni/i8kjWe4Ms7L2A26OL/I6giPoH+uxbrpmNAA+y3fo77/wWK8Ap7J10BZwLNnu+du1S2r3nAxQHJs5Y5h08tMdWfhMmDKft7/yGuaJ3GG6S2fQ1hvouQXuReD+KbXLah5m6LPPUGxvGG8OZs0eZLxlG0fTR6zppnqrnMfwCamHvp/QMBgYuoSy199MAdTiP66N5KM391HMXZvFN9MJOeW+na2wVf/HiKcrqw1v7efjHGiJLCXhaJOim5lAElSRIxCNTcaclWUTFqeDW8oJfyTOlE4IHvnEZL5IAbGltYbiymx7ODDzGr7FCntTUgsyjoUxH1xO8U8dP4EAXl1K4YrqE2bgNHJhPk5KSFBRP9SbkWkprn2KBMIrOQpaZGnqm8puo+b+bXL96kLrntuSknRuCKx1PVNSf3PyAleekAX8ME6V9byuC663luWWdLoopKqxK8yPb11GYBMgpYZhP4WdW8CZDeaIss4zCs6GLcMtfpnM6842yVCg/wYzjgsxRt8wVclnEC12gB0D8RT8exlvgL7wF9BbolXEIa7dbfH33IMgm2uqLFVQlu+Hcw9f7+fOxL1JDxohE13S25+iNOR8ZCMiirITOzhn0AuamfQd24Bl9lYXrseP7nN09fZ4Xu8ovnsyntVh4Jg5ZpUQ9LFWY5HPMLUVdNcx3J5xCope/QdhKiJRMC4dIWEgojxbSd3IloLLwCOEDpf9rQiXwYkjPqOKhXyAaX3NR8iChNWGLmYtas3p5+v7rr6bXXn+N+adu6kc+5U6ciKJGof/6179Lf/+LX7GYeT9GEkdph8vk1a5DvLXI138Q6qbqGnVdVlooMKW9EFmV0jUJDyXGKdKizongJQErvMAVs8gWgUkywMkxOfi6uAE+U4KuR0fVK2K5HoICrAwndNME80HUgVfO9b3buDdCCBqRNIRCZGbKyQChV7BMkVn4lA83M06mqiocdynTFXLRZB4Vc9J3wm2kHE/dsQWqRr9j7jjwMWgBPtdrQe5+XnzpuwwVsbkgXgiuYw22n8W1rQzRTZ2qeZOFwOSLbpheySXmqpYRn8rcz2Qcr25n64yXWLC7i6G15+nxHPLXfqs8qff+MT3/3A885PTZzj/bUEIWgi+9+D16RZNTN94m5rAtxq1bGv4bdm/p+ede8RqsAwc+Y0v4Z7Hgk6XejXT2/ZPMv3QjpLEGZL2TjBRkyq7ekazUhodvoqAGiLdaCZSNGO2xASHUD24IYtjl0CBnLNwCEs83EiI/6JIdkVOLiYVIwlgiGIZIjbilaRAV4oJEeoKNFbQrr3z8HTp6LB0/ejStXIWbJub4LIjp8Rw/fhyXUUeY58Pg4dp1D5Mqz0pG5ZujSrWIbpRxDYJXwr0msKMioq5do2AmyeDgruslxiliTt6WDujDPVo4u9xcshslrj3agHi+pqgcFaeirj4k5b6UepezelxqixJUjpOiIaK2jWy1agS3XGGsEmrkhY1h4mU/vzC4yc/rrjIXk3AQz1hA7CvMgMzS+RlJnCuiUpNacX+ZMTXIKNtilGh/me1Yrvo+2jOT3D9FKev+zw1KSuTyWjB5Ej2RwSEszGbxta7dcAdt9HCTeRL0GEN72u5dk/RNDM/pq3/I3sJnse/UbFwTaahJw0qrVjxB3gR6SYsYPrzJfEo7v1byb6BIoEfByPR98eJVDOfh/48NCuej+DSkd/jobk/ya5GplOWcOQttwi7rvjNnZNGGw1a8KNSH/mwMIZiGFOvDyHR9XkPc0iMgnjfImSHQLC2AcC5R5Yc0M6YEWb1YK9InFCN5tJ+ILRQ5a17oMnNq585fTHv246XjrWmpD2U0g+E/lX/hXC/e0Xei/A8wfHmBdr6M8q63RgxeufBSXMM73PCeNiRMdddDXGIjgWAVpCFxVzZjkKEacN2+QaGQVIjFfakTZysbl06iUjoCKNP/WdHCj7QurNxn31IpGKEL7vumhEImjoSP5f46K6pn+ETKlaJSsPLPrWdIPpi2Bog6BHLGjurpOYtyzO4v+KAGHg8PrwXuvz3vn+LBa9uopHhRJmH2rGEkuSUaHsIxKxsOtrQwkY/XAnl5mD1nNg5kT2KJt9TzIadOHXKePFVomwjtr6StN6TMJnv+ajcLVLXD7A2Ukxbyyrhigg0e9h/cmbZseoHJ+3eYyNc6rXkovytYu3VQ7iyU5AJ8A/7U5tTajFG++eRnT0pKTmHrJ/vVBPI/qMbTEJaGLiVwytyMziNDqJPG5haNfsXa0XSkFUKAKQYNAlJf6RNoLy2eVXkyu79JfCIK1BPuWrNjsz/o/eWehY14qVjAcuAqJXXm7FkMPCbTSxrAgOSovU5I6F6+fJn1XWcx1T/HHl148CCt4TvVKFjk+nuoDyCh5LmaZCutmohC12BhnsnMxFkCOEepWih4QKwOsvCsIYxlrLqSKCTfh0hEfX2/6qug+qlxwRV1hEjrCjwUG6Rk0RbCVVqpwt+EoldE91j0RgE34h4ad260Wck2VuED7i09I+af+fDcKCkqg4lrzssw8M3HZ9WNlMp7qEEl3Jvn52M81Ap9YWaPQ30fhzqWG/FVq6tMyP59qZzOcixrV0YYJBw9th/BKWUwaOMJGSBcRwFdYXFuH1Z2lzCquILrJG3od4m5oubmye4FaT8p76eE4cK0aVNZ5/MuRg0LveGgrAj17vViwCD/fZevXEjbt/+ehagr2bdpP34DT9mjxVS2wdAeS3KfNBXffvK0ICV49NhBehPar+om+VM85KcFqZPp1Uk5SLBMZk5KIkAKRsN8tzirx1YUlSwLRS//ePoylcKLL1RtH4+yxNmqjAukOKWAtGGihhOlvLWNR8QnQaeND0XfTN5Ehh3DB57qo3JVnuo0GTwYmVawIgwtYGkMGTXcwNKxH+vJAQxJLvZexsXRGdryJEN9p1DS8tt3Op0/dwElzZyeBJfkjJ6mHNSrqEsCLYKIlnA05xewMJQhIv0E52fRSdpo1E33yiGfa6I1wx/hqbRbuXBXqdQvakxtQhHrmpSl66ihhDKo0soTnq5Tf5Ewvq/becFPNFJwUQelUHiZnlNhFLyUrV8cKpjKINGQV19BZbndRRq1iPJcGQNvSwf0cTq6YR6nCo/X9UtuAT0x1XuhF/BRDScg65n3erCrVz1ju/sY0ps6dRrDezVvF4WrFqpKoZWg3pGGCYvnjAIvZwsJWkM4ZYGv5tSkhOtDG0OZWgyLnmsIMtlXj1HDkEMMb3aRvohDV4W29ql2LdXdPZ3hun4Lm4kTGbZDCQ5iXYd+p9xmduSdzVYpzeC3+V7IV9+1a9dYE4UbIzvZzWrC0rf2wkfPDXbAheH7qDiVjHuqe6u8wFFMilpB+eUnuHFQnAqlTcxDz8eIiw7eRr2vQ8ODN0rKUBA15BiCQ4nk67IOULVVaf07TjouxWJfGUEHAtddeJazaFU3BxhU8bpY5HHMfAO5JIOvUpEdacfVzgVZ5LndxVqlKheQMjgoHaXHPVBewAV2vJ6ZKVTqlxdU2y+z/C/vyu9V8le4Vb6Eqj1IkVVPSkJf+xl95zv/nDVSz9o4oRXz6BYUQGfHDIb5FuBJYj1C+Ka9Pmh795YpM1g4uxTz7rMYVczH3dBy94S0aFc9K4VXXv6RDSzOne3Dn1+PHaH2sV17utXhhcAtUzvsEPUqi4eXLlmXnt36bea15jK8dczzXeq1TGma7i03LuHVu6mpld6dXPz0pc0MFW7b+grm6O/Cd256+Rs/pHe2Kh05doYtRn6MeTXrj/AbqD2ymuntnDp91L2bH/zg37j3smrlBiwIU9rEwmQJCZnOP//ca94X6sXnv2+PGjs+eTv9+Ed/y5UMs+D4GS8i3rnrQ3pFEyjvn2I2vo1e4Tk8YLyS5s1ZzOf2LQxC/jqtXfNU+uCjP2H08Tx1fA1LyPPpu6//D3jheAN3ThsZLl2STp28SNvOY0HuXK6L7eJvteDiaFGawhbz77y3vRoK7McThAxCiuCyGJXkIljsIRksv0qaswW0RAYZ8WBkIZhTRbmUs3gpGLtIGgvsKEdll1CLFcijOxdhrp5rtIfKpkalUnVRDaMJS8HZuh61WyQcV7rxJ+QMM6KRTSNSgepYRLzA3Xr1/ISvxgRmtrU8kg4aNqy/RwVOx5gAbTkrmcvxZGUgCPrIg6s0ilJHizcKVuMotMBfanvy/a5LL/se4Q2ieVLa/u6v0xZ83anHMJGv+6lTWhh62p+WLl3j4afNm19K8sUnQdHTo7mjmTZsuIxZ9Px5S1iAuwxjiBXpD3/8e7xuL2CY73x6/fW/yntOzfRWH7IWbG/vdo+lv/9y+unP5Nm7DQezM5n72uU9owbUO0IiLJi/AmXZjgCfw3wX28Xv2emHdgE++IpXiUV49Namg1Ji3//uj70B4wXWXS1bvpaFv3tQXkvSx2z9Lm8U07t60qzZKAcU2IkTmv/p8VkewXU9f3rr1yiObiwO56NQNhGfjs+8KRg3nGCRsLYCSdRliZWubBhefOH7DAlOI/8UdfsUxdNj10vCk8+8WbPmowifp5wZAqHgpqTlS3EdNYE1Ulg2drRjJEGPSuvMDh3ZyfUuMZ56OqF8srAqMkvCqzyyijotWedElZZ8FCigOnKvAehPgrZCzxgWwsYPCnEWtRUhmX5STJ9zagwC8AiOUXcUrssuVybh76rGdRF1beuvkbhQjKcDpCUueFxcXKOSyjTcCSHrPyCmE0p9M7kNlZ/bKyuRQiN+bkfxyO0m5ajr8LmUI555HsvXKlzhiXXVc9ecqdiA0VAHMxnzw2iLHC3emFd4RAFxl0YAH4PkV7U979x0D6+Vy4dmrRzW50ya2IJy0sJQPJQzrKW5oBkI0yPsnKvekOZ41HPRpn379r/PfNNivyy//+N/I76AXsNJrPliKO5C7ylbA549f4gXi0Wp+NbTMJymaY4c3YXBwCFe3mtJCnAHO+p+vOO9tGXLM6yJmkf5PWnu7GUoMhltfOL1W7t37/Pcz+ZNz2EpOB3FNN29j0NsbHju/GkU3TTqq/2VzqS58xYyZyWjD73ncalPrH8Gg5CU5s1e6vmsadO6URrNNmOXa6AybzV3zhzmv/Zi1biG/Fauex5DfPghmkDFCVpArM0U1UZlPycpdW0rIqvIY8znKaitruDeSZ4fzl84bkV1A/N+WSkOYEGpxcqnzxxgWPC0e4eyipTJ8mSMKEIIhcFHCGVz5KAHQEKqDOUFKIQnj3J+mk0vPP+gMTzOeTTPArKGn5HFH2YSq5mYswRiZgzaVyOECtDz6ZAvUVCi1NlHpwyzoUuGqbF4JpRyT0pYAqF5dJYBkLRQMVXPHF1M1SYqQhDRmV48tOBXRjviFeiCKVHPw2UKZqTIEbp+5XIKAzc71xK44kmppWAl/8JCbtYHvmo33QNTjx3hF72usavZg3B+eK1cG+5jXY7mYZYtX52WLl7OdhknEZ6Yeuc9js5j/izXPdq2w97KL/emc2yGqHVI8i6hNUrLlq1AOB9CoHfZO7f87s2ZM8/GFTIqOHPmND2R1VipHUeJYMbOkJ3mdvTynThxBJPz+WxauBqv6X0osAMe4pNz2nPncRorV0b8zZihNVKXbNShIb8JkzSvw6JYfNjJA0bf1cvp7bd/lxYvXUYZ59PRIzipXb0OP3/7vefVYnb+fefdP5pOczxLlqxIV7iWj3b8GeHSZMe02g9LvcNduz/yUGJXVzs+8I7Qs1rAtbEvFc5yu7u1pT3m+k0T0+/Yll6m9xKWe/Z+Qt50aD+hzhrinJn6B6+k3/zm/0YxzXWPTcYkl1Fc8vaga+hjqHNg8CptcRnFG85wD+zf455lzDWFECuPSr2u0IMtrxM6hzALLC3a1WPiHweba+e3QF/oBVk0gaOj4k457mjEQnqWeIVXB3hE0SKoywutdPxFFZ1PpvJLnrs8VhzRjsY3XeCUqgOyXqjKMBMzKhnq5ARf0fuXqU0caCq8lGGGNGRkRwFiK4BgvnNq8kyTuTld4lEfUwW7kmGygNeBxqNfkRYYvzMP50aoHXlF4iQrt7sZFYymOLk80vAXdgdpWkunvZ+rxzEWod644WHwb2lpt/l7ZwdWe809DFGeaTCgUBm6LvXCtO/S5cuXyCd9u2W7q6MtQ5qZO7vMVhsKsgSUUuzsarFj3etXY+xGBiToE5RdwrIvpaUoV7XZ5StnmUebBmWoDd2lWhCMe4aG8Z+VVAwdGYe0lJRdJgnAV7jJfYZCBQKInppyBPOxgpcXzLnKzKH0plRuMC05j+ZcFIgLl6DXn5oiV0ZKRLV1R0hnAXRWe2XFEPEMU56QFYQShzgH1PxztEDiLNa1pnGiJN1OrggopdsqDCPEvXKcsuM+FF6RrvdSIetPXXdZFyYmvv+QqMbFaMbJ8cN4C3zNWqDqSRUFtW3bt9K6NU8zNDeJoaypfqsGEJqaV+nunsmC2r67vhTF8EsyUDQyelCYPWshW3G8xlBXt40X5HRW3ia6u+baVHvbM99CgA/R65jNVhXfdM/iOubuenlfeOF7NsteyE67GrLTNhtygXQFV0EyQJjPkN6T7IGlMiZQZ839SDivX/eUh+pOnDyJkBjEIOI7aenSdfTw9qStW7+VFmJggWpg7utlhgxbMPk+5PzFSzaxcHZHeuWbf+W5sfnztcB4MUrrtJUJRAzRheJdvXoTbdRmgwsNYU7B7FzKSPwYtLEZu+bJ1MvUImmtN5NQk/PXVuawpoInU3vlN+OvT/NaFy+dsoWg0kXJhDBTyTlkSVgEswSrBZWkNUF9KNFY4BYFBdx8NLGR6Y2sQ0lzjrKCj+lzpssqePU0FZOxj7g+rlpUJF9uVTCPB9fMj2yfM0L0eDQMJ1SJ90AoQ3uCGkdU/o9zPVxlBx8VovxonYg6VxgicXBcSRWV8XNGIOjoHYKFVCjLdQWsIJpN5hOGFiXnEZxV+Hh4eC1wr/a8V97Dq8Fjx6kynChfY3Nw0nr61CnvS3QRq7UJiyYzLNXOfMpJ7+20ffubae1a9m06dQShPJU5qEXpo4/ftNcILWzVuqYVy57wHNKN4avenHDGjDkYS6wEL3bqbccc+zheJbZseTZd+eCch7me3LKNHgbrizB82LL5xfQP//ifPde1HMMHDSfOxtDh5s0hlNRKn3svXmd4cW16482fo0AXpZ4ZM7weacni1fZk8TY7zf7VX/8rtg7ZbA/qJ04eYhuP59O3v/MTiwQtutVeVPIHeOLEYd84GTZs2LAVD+MTsex7Ov329//dBhTail7bXHR1zsrGHnh6x0NGX985vGloA8X9KCd2J2Z4T+ImeipIFWa3Y8GxZFX0bvQcyku7LCkV9xexIgStzZo6hW2RhWuNb3HqPECG51PAzCAUkgUnmWFsYSzqYdUCLoiAJJT1AaHgL/2ImnUNM9MKR3+RJBW1zSR3Po0C5TbC+6ERbj2+41HBUDJk5/oWxRAkOuqa1Qb6cZcUUfCpxAUHpvkf5XkaM+fRFo65ARU3YmEQjFW2GPgsBhGczIWLSh8R5qWjMgl27aSk0+RneMmLDHPKZdQhmEM+iPFdsurRRh2/L15fvPAGDg2JUdf43ogPwvNBaO5Wi3u1573y7sZvFPAvVv1RUI8C5bZq3gdNWBPAQet7FOQ+6O23/9FCtAcDgClTWTDLYtopWPhJsUjoNjE2tWzpanZ4nZbOsr/RmjWb3Ev45a/+M8J9E8qm3/Mycm/U3NSGwvqIbSJ+w3zUOpuVn2Wr9ylTpqH4TrvXIpPyQ4f3WlnIeKG9DXNswrp1TzK8dovNANdgCTeZOR7Gw7iR2vxw4fw5CORb9KjkaDXhpWEn54kMlWGujYCfilGFhuTKFh8D/ewczJopKd7rrDu6hNn8BRTvBx/8CZP7jS5vcLAPc/rTVtAyV5/J/NdVzOVXLtts4T65aQJ1wC0R19fa2kxbaBiP3mYON20mLsGeRT4CzfHy8BkeCijgGVeSKaQTvSd55CjzSTFkF/zqFUYUWJzAqlG0fmlY5ZFV+/EkIHADkMtyfmAAydiFSOlA9znXyUDjRqyGUdL5HOQjgJ+THC2NHmoF4UsRNCgZ5/gQ2aFsTKLLz5GiuCpssdGfzhyEphdCRhP+EWepNQxYgJ2VkzxUBB/xNQPjTNQibZYpcHfJpxYV7+AfhUTJKqfkCy42nusSWAkyy59RpTQBx2OSeZuJcgtNxBtuUwY9upNa/z5C3TUUqgYODYmC8QXPD8LzQWi+YDVHS35bE94G4LkZyewOOCNRaunbqGtZJTYKlIJane+DhncysLVOSkHK6K9/+D/5jZCVnhayyliitbXDw1irV61l6EpOXfGMgIdyrZe6gIdyCbwXX3jNXiUmNw2x5fnhtAwz9cEb+KHrWeD1VJev9NLzWMzaoqcY/nsJBTSUXnjuu0nm7HJ3JCVy48Z1FNZnrktryxQ2KPwYvH4L4W0Mzcmk+8DB3dWcUGdnDzC2jP/kPYYBJ2KMcRn84fS97/2Ia5nKeqWNKLst6eVvfhelMwdFeAg3TTMx817Jdvfs4MteWVfZbkRBQ3JSUu+8+yvm0y4zfNjEpoQTsGrcxVzSdBT5ANaIh/kd8fyV5qZk+KAgRRJnxbOyyDfCygCFWhSWzlJEUrJB5OaOg/kA139I1wrHEY/WBa+gFa/4oeFMJ6mcZSoo6tm5BpzFs+CQJV4kM1E8CUjD+mfYMrOg6EwImog/qmN9reoFuMtXhfnpUkrda20XAl7eQqyIygWBGApBNE6EorASckPBEIXDxdr9lb6ExIOz57l8VlxwfpqgNG/VQj0lKbOokE8qQuUIREYtTxkBF4avQg0sRaegk5WeaIK3YcozXJHHNORLHE3tW2mj5qqdRkPxl4FzWxPeBrhDO4wG5w5kXxYovxV6z5hDQXDOmj3bmwfuxjpNQdZvcg+0Z89nXmsk5aS5lD5cI13Hkq6ZxbgXcXHU082CX4bkPtv5MfNBm1BguC6i13WB/Y80t7VgwRK2mfgQjwodDO9dYP5JJuadzOdcZK5qOkpPnhX6GE7rYD+oPS5bZtu9vRdRjho205b2K9iv6lPn6bBq1RroLzMceAZTeSwaCCtWrEn79u1i+HGZ53ouw19OXNUb7OjoQkkd8zyQzM7l0mkxQ3kf73jftNrbSdvca4Pari68VeAnT5s09lGvmTNnWbhc5ZqnsEuxtnXfsGGL20GWgy3ywK4v7npBJK5ZOFojkFR+EY4SThZPOhNxvO6oZylgIavEzogIMf9JmOlf5yy5JJyVCspafuDUcE0iKilP/QFQHSzcVah5K0dB+Y4YXqIZ8khO0WauWCgJl2qN7bRb0tcQbRqKIFrPcVpSvaBwbZSrTHa5F6KKe6Cry1co5aOo2OgemYwyHVBQ9O5v3dIIBHngBWW0pT4SCm9zUz71830IRm5Tf0wUSt27jGNeudGru5AZhUOmfE8EEz/nRRmu3gMd6hiNgv7+sEfB8G4o8WA6dzLxodwud0N/nOEPrU0fGqMvvzUbLkWTstOnz0AAn8F0fL6dnV5geExh7txFGBccaajxBEy24yVNKLe56czpkw35IxPyrye/eCuWb0RR9aEwDjSgyAv68RMH6Wk9g8K6lvYfqCmkgrhp47NWbIcO70IZPsOarFM2xuiiR7V06Vq2Sd+N0cbZgj6qs65bAqWskZKvPikjwdUrmjKlzeuZxKwoc3mA17ySQmwREjvbKm2hqBdLrUuI/aVIIEiK4Io8fXFH8HtoXOpiUJY6OV/EAZEgyynWtAkmteRcCbiKowSWiI1M3AmfAwyu8SO/8LcoBq5OWeGbSV2TwseJR3WgcUo7KaK2cqBibmbdv7ioqn3jHoBl2iAyboBM7nvhLA4oCF1v+ZjQfa4KUnnCE5VQXN5QuokBzQQ8srjbKhauQ+C4nQAYBr4IFW9s85wWXIydD6qwTQuAEP1yAYkLpAtxVubvmglQ0kS/cNDVupAvzOlBGbgGXOsk2mINuzH0MqR6gjpFa37ZtXuQq7q9TW+HPAjfrzdNZd2nl1IC+Zsvf4/ewRXWLM3zfMvGDc/Ti1hIT2g5Ln5eYjitH3dAP7ClnrxQ/OiHf0svao6H2pYt3YgnhQ0M7a1k7yitI2pKW7Hq0zyRvEVose0StuXYtOlZaGbZUm/L5m/QexlGMZ5O//yf/Tvigwj9duaJWHTLpM+a1U9jwbcyLWFIUOuQZuMFQgt/tXXHgvnL3XtTz0l+8lTuhvWaExtK63FXJCWiIUT1mqQomrLTV1kHhpfzWx4SHKLHp2svykUm4MKRUPHHND0kOaOdzE84E7U1MC+LneBily76QqvHpRJ+lWRDACIELUugL+++oqEI9KjWghRNiByhKh5pM5DwEgvOQSVMAQIv9iiK/MLRApNEveBTnkVQPmQuAcvHxlpl/ML0UZ5pKP0puM2IhlKqS+f6VPch05hO+EqLheJmlGHinOHOk27iplf3UD3h/GdEIdN7Gp7UniZNX5RuMSrgZ4kGFJ6PmZ8NVYD7ThWYcXJlhS12xih3gLRplK4LtWyAJMRPoTQE0fJEGP41OOC+OU1lCH6QEZ7/8MrLaUNnZ/oFRl0zcHp9VRPCj1Mo9+txqvNXpK6Stg5FkClx6tRRhvha0vLl6xgma8LNkYbm2AeKl3P1qtUYJgwyjBe9lSG2er/KQtvZLMSdP28+w3g9dm00a9bs9Czm7D0sit2wYSPGDtrQMNlf37Hje73dh3o/Wpe1GHPw17/zL+k9DfLCNzEn9I5xZ7N4dgY7AM9fMN/Db3NRTH/448+ZB7pKz0YbHQ6g7BbgB2+hPVkcPPQJ5usX0iIW7Mrrg3pjEXD7hCIRja5Tyk8GIIpr+NJSAcR6Ia6hT732FhgcbJgAneebLCMmMCw46MXMEhgSNPqrAlG3aT6X/HDQKjxnmL9oDAlQLhOlU5ceJq6vaG/SwVlSykJJykn1K/wUEyGhXE85m2FkBI7ojOsLME1m47i5BqucV58I0KM4xvutsl0jVdE/C+qQ8lGNom18zjWDuCgPQYJXpXasjMpVicxzTBnRispxMGwuTutPxDvJxRupddaK1Ml2NdcusRyBZ5YnDBzdEX5Yueo5nsDX/0SMjOydX70psVEZqkRUxBHXzxnKIyUc/RkRFFWwwi+1FbM6sFBKFvFHH6oKPrSiZYbSzoehwmne5VfmL0jfoE3O0oPtKG3z0EobY0b3eW8efmuO8fWNIXt9N5q9ehsKcvj64gv/BNPrLgtyOZSdmNiug7magwc+4EXgK5IeivzsKcgqcBpzOc183Xjo7cwhekxH0lUMGORaqa/vAsN6R+gdMSxC0CJZ9YDkXUIeFuQaaQICYBBlobmvbnpYa1avYMjuGj2gJnwGHmBe6hhK6KC9Svybf/2/WrC+9favUDyDDMudt+eGtWu3pldf/gmGD71p396PUytbjsjSUKEVLw53CpUQuFNmHawIfUsPCQ8euCLb/a74AUQ8oddCIUjBRQjaUAaFj8/GlYJRD5Z7oB+8Iy7a8lTrjOCLk8Ged9JqT/EwquiFVpSOorW4UZQ2Sv0ZCBdQ6lWeBeEH3LEv96BmqQtOuvGlEOozI6X7Iah/jgfAcHWLlVcQjOVWIaaeNHnwtqJwnrCVHyHa1M2emttnpxvskqwVc+pJNTd30FtnRTZMhm9eT5d6rzBPivd6PuAuXupLN7EIVQ/cVYe3a1vVI/gr6VCroC/EVoTKcFUqLACFQa5jfZYZPcpDrZ0eVql6i/qxxhMUfgAAQABJREFU5FX4Dx++lw7xgq1epfWNbCkkv2pf4/DwW/PxbayG4T71HlpaplrpXOg9k3bjFmjF8vX0plrS+x++QQ+mH0V0miG/a7yUk5mjOubhMg3DHTmyj6G1Xqzuer3fVC8ukY4zHNjGYtdzOHqdjMLqHxiC5jAOWDvTRVwW7UGZyLji0uVzmIq/CR6uizD9XrhoaRK9vJtrF1/tzisFqA0RZaLdj7879Wi099VnO1GcWYLLh971ftws8dePG6bdez6B5qpN0jW/pB2HJ+or10N5EkoawuNLFyFT5qPKrfT7bmGRIcQLTA+QxYMOJKRfIq0j8Tq6Ei/nyBcOMTOKx1Hcbd4cSbKKMil4oswkEa2ONSVDfkjBQMwYFq6KZ+Guk7m7fFWe0vnF4uGoQBx9VcGl8M08H+VJ985BVa0rWHV2O8Yl+BrUjtHW+SwcaBi1gzhflYhME/N/zucZCFrBIj+KYniXtCw/tbda6xTmSLA6bZmDdejpI2l+dyvP+Ul68PTaJwzwLLHWbepM/EYu9lxmG+vr5jDUrZ7wNZZENGFxyoyfSlCFfJ/qnw3BlKfm9rWRcq11ULVMKDrXVkxycEZJfG3OAzSEjCWOMSXw1vlzaReGUFcYwehHVrldPvdKo51Ks7lxv55N9bkt8bgi6HZV91om2x7+qruapUuXoUSOpQvnY7iO153cWk+hDnVUUfn9G2BzP4XJ+FGS5Z3CnRSFM/JhetdMm7vXw0YT1zomrWsaGUaWdyc3SxYXkm5FQPOylOe7CBZBJPAr4UFBVV4Ag6bEy1kVqo9X6YZbAg63x3cIeEMWpVZ3TlWsJSoFBCygwlUsek2Km5UOihmp4Ag2kp8Bhj+UQ8N13JtjNFEQOK5Drq/a2TDSOuteBMwxX5oyioISFyk8m5RHc+TCmYxXL0s8MkO1nNTTZIhbWianzvZWPrjYJmbSjdTXvDgNtc9PQwf/nDY/+RIfSuwQsHhl+uDDN9P+g3vT917/ocuZylpAKSS5w9Iz+A+//Gma2dPNHO0137v4eKAi+te9Up0oNeKqQQS5uNJYrz6GDBOusuiFC+JUHW1Qfb2OU7g/Ax6Cx9qfezQcjdVwkb51voluFufV2qYB1Qk9D0LPB0Uc1P7jYQxaQG39AE2Lx4kIMquWE9ht217z1vB9fb3p3ffeSsM3WtOGdd9nw75eXsaP0uo1q1JXx3yczx7xy3T69Ak8Pyz10OBHH2/H+wPewhk/liJajkeIQwePp2ef30yvDC/mXfNtoi5zbu2nJMeqs3G3pB7Nzl0f2KpQ21T0D1y1G6I1a7ZQ9jPpv/zd/4a5+UZ7oNi3/xO8WGzHFdI3MOZYxvqoP+OUdiMKbwqWgfvT4oU4qIXvr3/zd1j/bWaor40Fw3sZKuxC2LB9PUYRmj/opaf4xBNPpaNHtRX9RLy5f4KxRG2zQ7WKHnA/w7mNLEX0JvDTg+w2VzLnG+Y3RXei4HA2gvADJvTAMCurfOWZf8nJX/1Jw3qi14sz4gbXv0z1cfP3i1bqIVKXoCwHs/LXuF9jX0+V1/CS3l5uwXs05xDEtbLcmLQJ9VKTkREQri+kVKBmNCWE4z6TYPqZCPzSRhpPAB4kyoz4JEYIpndOS3NmdKSe6S2pC0XVPGk4XWpZkM4MMuIwvyPNndnDEPl0HBCfZU+x56ykpk+fng6yLGHB/HZ66Ikh6AvMxc43X+1yXUJURQVTZhRbsvI54M7WtVFfn5Rr/PxM1RMH0xF8Hv+kjCfaGAGRorpR93zWf6hUIwF1bamnXt8fAqlphK+4Ro3K7b+98fUsRZuNfK8C+kWPX9Ob9EWb5S70lZKSgprW0m1feH/3//7v6bVXfswX4U9wdHoRK70pGCh0p67uTi/AnT1rDkL+NPNHs/GVt5UNCg+iGC45vfGJZ7zQtqdnLp4jZjCG3IfSuYTC2OYFwfPmzeWlbvewoBbfyopw8MYwGxhuhYe8hs9In3y63dXdheJas3oDxhPzGG58M/1k2RqGGac4T+bn1xjz19YWmh+bPHkqxhJ4oWDObMGCxUkWgLIq3LzpSerfYr+AWpelYb0+5rGOHTtkN0dz5izzsKaYTmKiWwYV9cGKJ4svnZwuD7Cf5Hj89TKMFCB+LbIAUn6l9MobQEHlfavyVEiD0IK/ijBujkSy7hjwkS+UoSogF6K0VVKuvxhEtnKi3FIf5UUQsjkVwBc/j5rdHco2bY2BL0VVr9rUENdY6k0hIBG/DSBajw4IkYRY0/7abqOjrTXNn9udlvBbuqgnLUbptHfOSLuuzU395w+mG9OxMF3YnQ4fxwvJYBvD3LGwW89QLI6fCB8NobfacEdlTyzPmCul8iiwXE4pX4gO8cw46nplKHVTD0105bmRulIoz1lgjuYoulKB0eB/OTiqYV+26AvFFB98eubLMytl1KGdGtjgdDJzVpMAaGhfbeJAWu1lfD7QpKjknUZOBTSiI3nR38+u2gwtFp6iK8/WyPcrmN77qBEb/WS1XAvR3voodv2lMB+De1Cr/wPGHvAxq5SUbsRVzGn1wK5e9SS9C9z+MAG8c9fbaS1m4Bd6exH0czBw6GN+6Ki9dreySHcyePJGcZ11TzIjV7yzcw4GE73cgH4sBQ+m7hmzUVgdbK+h7TcWU8Tk9Ps//ncMNF7n5g0wT6Udc2+iUJ7FfdKvUGDxsqspmpukhLrTJdwfyUVRZ8d0t9DAwBXmn/roYa3HAe2NdHPKLb5Yz6Qh1jjNxKJQW43Mxeqvs3O6H4A+lOiVvlPuLaGO0tIlq1iHxQJlhmkWL11Oj+wt93jUDg0PIw2rB8gPam5kLYAtD66InK8Xwe87SJmHPRPkpz1IhWOGvgbBRKJgUvOo5UdO7ah6Bb74UK/6N6mgCVZ3DQWnnGvlQABuxaLUqwLchX8p55Gdo8b5wqtSBaXh3Q4Rj+t2+4Ksu6J2cGg4KaGfiDUvWeKBZLNx8pons2awqzXNntGeVq+YmV7YupLz7DS5Y2a6dagjLZ+Muy/23vzgsw/T4f2n06TmOWn72390cXv27uSjbAuGE9fTH/EtuQ5nx0ePxnpDI+SqqQYOFG1BCiBgpFwtpZwJPHICUrDAF2K5Z6bJPEd9Cl6jRv8SEXWv9IteUNRbW9u08THRgvu2JubJtUxEH79qN3sZUR+aIVv9uQ1pK80IDuu9Rebwzw8YH6/6yRBMzq4H+nEuwP5xmtuu3h039egbOdZUBl8Zjmlpi6Y45PNUPCWTFKRU9WbrY0Zz6FOwrNZ6Urmoqz2rRn18DqNvps+9pkpJNdNwMtGWZ4l16zZgwHAC10a7PZ5+HiOGWfSeDrC4VpZ4LWxvLpdAA7gyOnfuRDrNBLJ6YgonWIzbiWeHX//2p+mvfvCvUHQYS5w47JsvbxA78UgxjZ7Pd1//MZZ7h+08dgZ7NKkXJb94/SifhQsWoXDOWQFNmsSQy/RO1kM9yUPUD//DmLQ/ybDhe+x9tSZ9+ukHmLzPoU7TqMfJNH3NdGDvoSQv8SDMTW++9ffMJXSRvmjeenC1BYYsB2UcsmDRQow0Yqv72KxOFljDoaT1RWxv5Fgfcq3qienBkXWj1lE1s6GiHjZdo3phmndQO2qS3V7g+XoKU2RZfOH1grzBwf4QQGosaP2q6YbykFpECZCjeiHjxVJ+hHg1OUbE5Zc8n0VT+BopcM2y8BXXikVm5A/zHG9g+GUmVB9VWkfOEa2unUt10AtesmpIGSLlS24cC1btOgvfyoLOnLR+Dg8lbVMZ5mujNz8vbXhiSeqc15XODXakOTOH0kZ6Vu0T5qRDR3EJNnwxvbf9DXpTU/lA6mRu6n0/yzIkOn2ml2f8V4n9LXHH1c5SDL0nuY+n6pSqOB61zFXwtfkAWNeqe1ZIRp7NKM9R1Qi/ArFS0S9SFXioVzSMb0w927KSnNHd5RGUVgy9mhH8siRWUK9F75/2evN7oEYj6D1SWu2t50WrrKTstKxD4FB8nClDSqqlZQj+N3hf25Eb13GddpXlJhplgTrfDMjuGooylbWy5vpPnjxi3EEeBMkABe2wcBGPOVf7Qv6UbZJu5OU66iiUuAkep8O9Guc+r6PhESrzUg08GjAacm5LdHVqQ8LwdH5b5ucAtmzZasvBI0cOByZDGlIa8nw+dqF2cVNxfxRfLnIae++H4/PyS33rDVFkGaYtPjRcqd16QwHlSy3SthB+3rlUWy+Y3jpCAemN4yPRHYqy1UfkZ4WXMf3C1tGVtHDFsvB1+ks8WCCofF2TL1KRsI6rVBMZmnNSfsG3IYTrHULFtOSHWyQpCeAYJGhd1C0+XPgn7QPP3HCaO4vhPYbytqxbkH70vafTlmdWpMnTu9OHZ3G7dfxMemnVpDR8+nB661e/TD//7Ydp3+FzDPudSVf6p7LvWBPeV84y9CSLwHYPIctgw/NRals+CHwbOElICmD5qTylBdJ9zD8BJVgRqZHJMfw+xjUHnrKoP6HhXhry+B50H3VVGpbTPZo3bzabr7YzNcEWN7xT2p4nvkPUQvx8L+MjQB+kagu1leDqNQlHcPeelEd7D6GYhonczL0rWtAwzV9rKkLDf1rneZ3pBW1VNDgYhl96pmBxx6CPVSkjec+ZN29J2rsPS2bml+WdZsG8ZawtvYKD7VOsRV1vOffWn3+Tnn7qeToCu5mvX0RZl1kv+oblxVjtyXfHin8FgZUJutZJqSegvZnWs12Fdo1taZ2Kt/DetIZtKzrZC6oXd0klTJ7YxU3VFwF7JKUb9gAhjxJrMVbont6DwonFvpMmdnIjR2582JbWr1/PkNwpHjQct7Ig+NSp4/SgMMow7RmGWrrd9X3m6ZeBr3DPTXtNaSHu6lVb0qoVm+1774Xnv81XTxu8Ttil09an2Stq4SoUzaT0/LOvpyVLVnPjPyvVZg7tOR5SeUvnwWQxcAnq5rczrCjfgfJLKKe06i1uWCePG/PwT3gmfevVn/hBvXjpnNdzbX3m2zyAy9MVuu0vsu+V1orNZtuQrdT5EjgynZ/BViDySdjGMOSG9U8xF3aQujXxwMZQ08hn3GLGErXUrHauhE/RQjmr8Ij8ol5ChOvol8mvOgQWeLysAFWWaCu+Fb/CMQO+pFNROKV419iVRuio/m6s2rVEflyXaJRvFGSWzdi5LPPM1+6rR2AJ0bhIu3LlHRhJdHW2prmzp6cNq+anufO7cYHUlg6ea2WB7s3Ud/ls2n3iVvrwRFva1zslXbxyg52qb6SrePifiDk6djooKwwnpD7x8SchGNrJXVaXqTpKyNXa3xUUNP+EEakS0a13ti9MhzqALuKxDHeut3pEpfc0Z84s/HHKWcB0erhtDO+xNhOZ1cTaSmkvtYs+BDVaoY/DpiZ6V7znUkhlXkoGWpJpLSwhQM0zNKhlKcKZ6J7aZIZ4jQ8vimYUBQfT8JlEQnVRXLw1CqM5pvhQuHODa+5RH9jd7JE3Yybz8yzF6R+Q7FpvxaolPPJfqivXiM7KlU8wUkPvnOmMmWw7JGUlhwl6biUrRhUamrEhMSryryoSw326mFu+SeqzrFq9HgXTm66zuHb27MVpyZINGFMsY9HtbrbaeMov88CgHK+2MweFd4dFK5jP+RMNuzBt3PhNhu3OeNhQFyyXSfq+2bfvo7R06RO8jDcZ+jiP94gZnM+lF56fbaF+8NBOFMxMlNEyrOx2UKWhtGc3A/4EbXKosX3NVWmfqYUYRRw9ejh946XX0979H1Kfm9zsHuN2tHf6K0QP5f79H2FxdSLmwMhduXJdWr92G85x25h7u+yNDzVvNci27f0sytTXTjMWjroWrQXz/lcfvY0ivmEPGlob1sL29DNnzsSK8ABKdIYNNGS80dX1HT+MJ04ex+3TUob6ruL6aVv65a/+KxZey9KrL/8YS8nfYySygHZYw7Yiu/yFpC92NaiEVMgXfecR6j+1fWXloNy4X0YkabEKyMJOQDMIuARyTgLQ5KxC0KvMmnB0hnlUDAL0FToW5VMUCW2GZNLzpWtX++n6dHXlmBM5XbUEiLWWMHqhNINonwHW9A0M3mJeYpClD6y14xm80cqeYVf2pVfXsVZq6HI6dLU3Hbi6N00evJCuda5OHetwarzkInMNbBdz8VgaOo4Hf3jqS5AprDShuY3nia1dpAx5rpA+qr2rm6tU1S3qFVcStS0QzlRRvYdGuABx9XWYj0m08UokmDWvJGOG6bhCmjt3Vuro7EBBhDGEPvKmsIu4GkLb06BKeLz1JGg/tmYrFb1bmlcSrykoF33cDmAYoRbSLgkyrNDzf4OtgNiBh90OwoiCNQcM+QlLPbCbaegmw/ooqCGUynUpMxSURkM0HCxPO31XtGZTZetO1q4j3mfpT9Zg0lOTIc1qjMCG8LCjOagB1nTeYg3oAL2tVhSnetnaKujsGaZGbnQiBz+jLC3RiV7bqG5krXjXf1Q0jwESSiquTG6DFH77u18kbYnxxLqttnThlrJQd6fN0tVdPXPmGF8GM9OhQ7sZq99sgT6bOSHxmQX8JJ4prtCD6GToT13sY0f3pSeffNE9l+Mn9yPMZ6SjR3Yj7Oczd9WTdrFgeCN+9o6fOJROnDwMnwmVgnr++de5uWwCOCEs+i5dYjEkX0pyLrvt2Zftjf3M2bN8Gak3h7cMdrYdHL6eJg3H14cWEh8/fsh5i/DrdwGLxHa673Po7Wh/KlkWXmFDxUULZ7Bx4S6btEtZHmZvK30JHT12hK+bGFMWk4sXL9HbjPZqxarw/2fvzX78OrI8v8h9T+ZK5sYkmdxJLRQpUrtUpdqrpzHu7urucY8Bv9kYDGA/+MUwYKPhf8Dwg/1iGzYw4zEwhV5mqqunW7W1qkpbSaWNFClxXzNJJpO5b7/c/Pmc+7uZSRYpkSIpkSoGmb+7RcSNGzdunDjnfM85suEigiS6I6x6DGOiTcwgUXy7CQFiMnJvRWUZq8DNTHiT4WPQ867GhOnnE63n8nexvM+3Ep/Lpwy++EBicipmigLFGuIUP9n/rC4OstPxm2VcvvO155Yvfq6dVQ35XOV/t5DGzlnjV67FXfzJk7N9HPNjdjZBCLKdLJeXitnMmhG6yFg8IhSNivPJWRZik+nISb2kNKXyybWpfL4qlTIOrwxOsdgYwKD3WFrCjVjp6dNpBn3VYtNOxFEdqap5Wxrf9HgqZ7E3N3YhjTM+5sjrSFYYVUJknBICXDqJLkDJlkR/LYkAs0WmrGU0k132aXBMhW49XMniXjHF2fzgPtxmz/RpDZOrcUxLoDb0drOIJdAowAjt1eQnKggbpJivGg5K7rRE3TCT/gKTuSAsiVMF55aY4PXmoq5YhwH2c/QfW3VO9mDmrgpel7olGPZ5cG+LEioRfpwvsJDkutdqIEylJdyHOiwjhyXBNKbdnEpH31k8Iot+kHumDiJDTKIPNyJ4OxyVyM+e7i0soo8gaVEyVQYR7mGOPYUO/pFwiHAJQiVRUw+ev/uo7Pfyh3dy/XNv6dvCqQXEWtN8oANMwK2pq2NDBDxsA6WHtzvk7WcDPddMpFoRfv39ylZ38VHrU08F4yzirquB9NOW6ciRd/G/tzE+wguIu3RgW183EtDPbXA4ejtfg4PYZkR9o8SoeuzRJwmf8Q4eKT7gHZWgwGxM+/a9AKcDkbwymp597lsMtFn+CnA8W/x+02ZAGU3Ag72/J4yLJdrn9Mcn4xEvXDhLbKk9MbBltbWNunjpAgMbTozB9tt3fxXck+6gTLLzmzdvi/Ak7W1dEObWgOeXU04Ah+IGfQgqIj1+4iyErg8l+QCDGHQkMawOHcr8DzY2NjIwsw9Ih7QGfDQZGDI4HT6E8JjBM1wz8Tgx8VVmU1PxGuVihVbMG/tk8/mXL1j5crJ01Mq3E18PV4qFl/MUd6KS60/eyXF23zupIZpusyP9bruD7tDu7NnIRN87GbET//NimYgvjrJrNo28xU30TN6vbq23wGJjZGyKoJ4T6fDRC0xK6D7aKhlj9emdgYvpzMBQOnz8YjpxfiJdGQOpNduUZseH0ty5X0Z9Y3BOZa2PpErGdVXzulSxdmeq3rI3jcJ5L4yNp/krR9P0SD+CchZX/MlpLVVoIsFkytjTls9gi1mipfFIxTZz0rb7w+lsP8uQH3j1C0orLbj+hn6DNYT1mWfCn4cwuKhTBJYTotwVWwYOyCb23ARk564daS2ivVqDrkKYluQoIDzqevSKU8G+Y953K4hpYcGprCqIWzgIoFn1BGVVWyk3YtTvENlRznc7DXJP/WRgTcgVseOKsyFfeBAon6yqWl+feLxn4TuHNxENiWdKIXpweuwG/dKbzgRz39Qk6o94MSmQx/aHZjQDLGL8vM6cOY6eEmDNe294aTldvHg+9t94I5sbli+4c9e/y2tqfwAO/L6L3RorDVjndcSTmpq6AkXPPpDq6jL0RGvTxYEBCEkjhGRtcCeywsqLe3rWo2c5B2LPFQ5h5ocy4IRGvdu3PwqBei/89WngKHd18dJFxHcQkmLq7l5Pfeeol4+8MMIKFlsH5LJyLYoHV6eOjg50VxdZkbRAjMZZicyxClkHcoZIvzjCFYpuam5pRn82zMfgO3ZlltWjJ/aJyUFWNijGOzsodzG99NJ3eLYLwV5rZGz9pt7ejXwIlXBfF9MwCJxKRAbNTY0gCK/SVuoHkm/K79XFc/TzHKY1oLj03Zb3bgtIJMXKrpiOHDnEh4YvRAgXXwZzZU5G/OZc8xdHuRVJwDzmLcVY9W2RZCjyut1xUo0UdXExr4LzkZeLnsrGe37REsX7ZRc8cV+lIC55i3wWn9PmS4zc+OuOe7HrNs5med33fPxFRiYViVgUib73MHMqWywX63XL4DWfVbJova519fENzK7bl9aXX0o1s5chNoU0hBhwcHA8XbhExGf988WN4JWsdH4yLaGbCgaJ22FJkSrathOobCtKf2KPMThnF5lsJwZZmPWn8fOD0KQLKfOgCYGrQqdCiBjFWPMq6tHbBnDCe/DCMxCFz+RxBryIB6V/5ES+7JQRjpzIrrSmCoDSLKJziX6Iu7lUEaK7zDOHOffs3ZfWdnTCLUGUIAClJXBHci5wJ4rp/FPSURYcEOUgQt7PmHESPN+dHNT0NAtZODI5KZ1Bu8CUMOUgDOHgSkImifg9x1ymjsn+zgbZSj/GXEc9InRF5ykiLHAssQtvItQhKMp6xhH/FT+0aEf+LtSbywWOjQ7TVjhBgrdGwFTaUw1KWKh7fT1IwplZ7sOilrofpqwHHOUxovNB09wMcdm2C3j4iVDyf1ZHCQzQoFYwwSiW9Sad1Boh92ZJD+kOMsESq5OOZ71vnvbhcmaWD/TQoTfTk/u/zoTAChb91R50U8au6kd8yHoJ+6rHiZabcUWb+7anN978SSg4cxdP69dvRo+1Um9e//Vb9VJ+CG0YIr/3/ptczgbKk/tegjj1I/67kp55+inq/wf0Y8/Rc2XpvQ9+GcRXztHUhi2ZDm3Pcr9MwZqJFvJFQNifSaCy2TUGchTMz/hGuJYTqzjkzOppR8ITx8tvz9wc3GRy+l3i5D2KddykTJbjy/3NiFT+kHJJtMcfH56NUphsNyNGHgR6jwsZySEbxEC95cpx8Zp1mR+vEnEf6vWfBN/eL/YOE0tNaq4vT7V8FxUb96f6qwdT1cJ4mgJ4Mz4xQ1TqcXScM8GhUyjKZROTN8ATugSLNrganx/Ovgmn7nLC29Tgwb8GoE6htjtVk29+Fr90U4yN4f401v9+kVzKH1AFrpnmASlp27O0iNcU9Zm+u+JgiF3q8N75xEixLyFlxF1i8cwzX0fXu4nJeyokK4cxDRkdHUJMX8lCtQBAax/SlMXgNmxoHaYtW3dsgUCB4GOhWo23GBefEqMyuMpSvhu5HIkUxXh+CZf2kUMAHXBdhVhQOLoiwCX63AlffZDvcoZ3RKdBiBaDoNShB6pA5D7Dqtg5xvA+igFdeDsegvuDEOX9qe7LhaZcmmhAtxLHOdF/lJ+BSM2w1bZqAk45XxhLPEXZZtEPeF2OB1tUXDjHwcOfT+2BIoMrJ+2qYiF9+1t/CJcwkhrQ1WzuQ/4ek/b6QLN9/PE7TMit6HK60xtvOVG/iMy1N50mvLqrzv17v8FLGk+vv/EPad8TLzFA+9LHR99jAGk8uwP904eIxbYycSzCPZ3ES7l6r0nEfZ+kpw58M1YPiuJGccSpQ1lZ+019uwKs0NTckda2dQe4oqdnKxzfxSBSTx04QDsfRWe2gQdd5ANoSN94+Y9wi/Q36MweTzu2PcngmabNvWFQfPnKOTiw0TAKlit0YvrVaz+OZ3r88SfT22+/FiHnNRSWVX/qqa8h5tsEYnEtxFBkT2365jf+NMAPe/c+m3Qe//bbvwxUZGtLVxgFP8LHdwWOcmpKbi6z2QhZuXJmxJROg9nftRNKTJD+xCTJ5pq97NhrfnYxmzqXLufNJtvsVPx+6mTlpLZS1v1PSdc26VMy3t1LNjEjGKvqzR4tm5tpl03jQSMnM0C25TDIdhC0rEA47+XYSWeZ+DnB05lLTHSOg/gfVWVlrFp90eAZ9J7VfakB10dDp44H4RKO7EraFXV4ro/3QB0rRSk9F/dbnPONIVtvgp1Cv1rmBDV1MY0DQRYDqz/vurYaxIOPQ7S6U21jX6oBaFRGtOo5/GYOEvl6cfBjcmVEzqcs49sogQNZ5P56WFc0WBwZXP2Ckw1a9dw5N3P48AegfnvRS/Otg5bt7OxNhw7+lujZu6KBTtRrUCeIcpueGU71oO4W5BhhPwHnBicl56WDa0EEi3w7pXAzCPdSNVv995UAQFiDWE/9lNxShWg9/knEqwFayB1JSCrVJ3FXiYZzlUSolG+tnH4MhwQ+AFRIeLkx8xYWytIcXJzESwi6SMJZ9iUyFeVyd7H2cMhQbzZK5dK9RynPNTYOJ802uEXuk3fRTYlTnoHyq3Y5epiWiVQ2aSWQeIeZlLcAvV0fgARXGVp1a9AmTNKXLCz9u9/5C8RkhOQwnDqT70787OlS5PU3fhq92rMe33y4VNq5Yzf6p3b0UENY4T/GqqIkDV0ZwG/eAYjhIMSiHaTeRkRvivzQKUFQMq/mCZ3UEXRZmzkH8oX7O6DDoA4RHgulLLFKzl4rHjOmRmCZ10BQ1sU1P4bR8asQpzWxYu5Zv4msSyhkt8dKqBqZubohk0Z3jtMrtE1UoK5STNp+6U29s6OLga1oojog9j/92UHEmbsAkgxEPieqri4Mg0cvslLDNRPiv6PHhmMlr/W4SSRPrNbZj2eMSdQrRQLDS/DfZ6cbD+N81bdS/tp8UfetVL9SQbb3ecpcX8fnOXZQBuFZVbj4SJnHeA48LqZs18Zev8epVc8QZYu5eG0RKqq4wF1VU1bA96pOvM4xjAh6+MxQqmwF8JCDHGyft7Mi2iuG0sPV90N9zyH/MHlQp+u0tlSJQTmAmoYoX5amEE/PX5F7z4rWdGwLs4+KNe0AfdBn9T2SJgTq4I1lZvCTNDPWj+IsG7vMy8zoclnobjSrEATABHlNI6z4XqVVfZvfQn2U0gXBQpOT43z/V5GcXGIO2AvBaAiVQXtbSzoLSElddMn4DCK9GYIcsmDmeQrMJQYprUREhiAPwgDVQnFXCfdTzqKiEjReAdOOBQiXQIoFQRMQHueHIFO8BLlXxemK6jXuVcQup1QK0EI0n1yV5zPCA9ACwuY3VFZWS73zzHkg/yBo03zPck7C1VUf+J59bSIQ5dwKLCb08zgjV47eqqREBGcJoCyjNmSdEwuj4n5xwORdFeOFEZVqeFahM0PMd46hG3Trcpnfp51lIhU6El6vBq3lFRqzzQUke24eN0jD5yA4ROtduz5eYFNTE9wIcZxgr5UDL6EbspzGwLt3P4bHh3fpwxJgoy1heV9elrkwkoNxJaF9kgCHGj4sX94kBnItoOp8sXqHmJ6+iF6qiRXXFl7yAkiqgbDbGkNBPYfF/tTMFQYDIaV3PgYBNdQ7Ftugbk6dOgaHhW6o/2y8QxW1KipV0IqykeXu7z+fDux/Lp0EBj54Be8VRADu7OhFV4WPQrhGU1dnXyhBS4DCK2Pesf2x+NA+PPhmevaZ7yD2O0EU4X9F2xYDCYhFBbq5Xto2EwRbUIa2UaYQyyyPOFdc+eSXDdXIZL7lAczBcv7iVY/zk1H8+uFLrdecyisonmST37dY4wOzuYbzyT/b6I9Vj1A89hmzNavdtbwXpbIsdMQqalQkJ2S2g4p9FV1XrDBEaUxQ5KgsR6x05UqqAEgqTfB9RJ8Wi2XF8xopz/1Nno89dR0SMgmU/+R8gKHHJMY4qqgBSA2XvogIeZEF2fzFowk8UiQ5rYbujakExOAavKg3rn0OCHNtqsDcY4RF0cQ5+LGZ81nm4m8Z+izv5SROhddcu6UDm1p8tlvKv5wpK5RDpwtISuQ6Jlgszs6OITY/yYKQSN4lhv3BRASTknH0ctXYnjWC9lV8p2iPkMeo9RbTDL1fBdUSBl6JLq8aMxBtzzQzqalugihDiIBvL8wBYuJeBbgg762YtxYvNBJw9TuGGSqAzG1gIez+DAtaDYIVNwrqiFZTxtekVKmcfaU687yzsgryAySTK6uExVMPtQBM3XeXAShECjLeQsxcFC1bIVzeKOAbh8I13/d1HVtNI0e43wjEyVTHsz1wkYej5ffmRxOOv7RqJ2hZ067OHl7iZHrt9Z9iF7UdQMGh0E3JzehlfBT5rzKSV3/59xi+EisKzuPsuWO4U3o3WGrdl4ia62XwKfr76S9+DLdxClhuPXqhk6E70j/VseMfMRhK06XBc+nNt34WYARtA1zWihIcJS5Vz/re4NaOHDkYRnwff/xhoOY0spUQWv6DDz5glVsdokSN+fQZ+PY7v/KR+IAHIZwVIAXfhPCNp4t4bte/YGtbK3leh8BVB/T99OnjEF1h800MwiqefwwU4XkG4yzQUCDGiBZOs+ITdqoNlOK9jBCNxGrMe0p4h0cQBw0N0JcJn4cfLPepbVmZMj36jJR958VMlOQ4Bvk1529WB1+EEwxp9SSanXkwfzPxHG330eKLz/bjaXJiRN9EH3s974LYz3re3ay8pezTPJ/XJRrZ9bhm3jwzBKQchFlh9EJanAJ9RfyxEidR8ljE9xKEKMp4glkxXlhWh6cj1EaeaTlf9jKzZ6MFHAaqD1GX7WGlGJxEBRPtItGAJzGfmL7M93fhSBrFDKQCA/nKani0lk2pHZ1rY8cmwtlvYfzWgzK8yOQNQlCuirbS5FRS3uiPzS6m7P750d3eyqX4bKdOH0NigjeOs6dCp3zu/GkkDIei3z48+DbcxsVUWzEf32I9HFUDOu7qiFhQF4FLS4kCPs9i029QaYqQkVKeqVouS8NaOLZSQqJU1DakcnRaVRhcC0rw/s5TEhuJpFxQZuSLnRPzRjnvqIZ8iujUE6uSEGAhpyWQY0kOi45zUV3JfhjxUoeLTve1qbRebzMP8Yrvk+ctUf5fwsLd28e4ysSNJTXYckpQy2lvNQ4OdI+FXn5NFc4D5qbTXir6nx/fk17s7k4/7r+QmiGUeWiSu/1uHrT6HLPLozVT9GeiqZaWdrgpvCaMLl++5tn06KCs93ZTMyK74SB0t1vyxvkVByhHzoEfaxrXQeCwh6pvZYUmQdVWYQOE80zsr1+/BUUraKrxqbBXOH/heMDs9bR+4qRQ0ZHIF3ZVVzXMxL1N/do0NqFNQ5YUAbiaytON3CT5ga5ePa3uaK/xn+t5DWxXZ1h1+nZ3szpXV3zrNdylJnzKDT/fHbKJnGqZWKwhOqtICFw4mHxiyY36AfvWn2xTPC6ej2sW8Hr8RW3Zy/CY+uK8eazVAmwMqGk4+DjIrwVnFAfFSrxMftvm/Zi8XG1nE6anIGDWZTbO5+9qZd/z2TUzKToMoIRVggiD3YKQIaaaGeXaSqquw+8Lvi0rG9en2soSjE7hIOQQxi+ky1evoM86RuaV8aqeuRREmUatS4jJXPHfUrJDbfxtJL9LJ3pFaj5LOQRAiYNJ0d3uLZ2AjVrQJVenWqQe1RBluZ169LuV2D+WQKSE9pewOPTeBZB1i4jc15gH8w79Z0rIy7GbKuG5prFvMxWmgPnjCYZZCk6J+0G0F/lmFdsJpshsozDqdf5gGlOf5XtwoS7ib47IDR4XFql3PjMXmcG4W3BFeQnXkTBNL9SlWYASc4hd5+Cs5tnOT39E+cU0vbSBtiyEuHNimmCsiDxXJzmwJtohRvgHXWvTf0/YoDUsqH8I4vh/ePs3qQUiNUxbb7O7V9/ilvc/x2u95bqzjHd2h2JpYJCsDIzjtGnjTjxBfDv923/3v6btW5/ETUcT3hJ+BTDgWdh1bIKwaTIcx8efHAbQsDZWI7LPQiwPHz6C/6n9cEv94eHhypWL2AS8CocC6GDPsyE7Pn3mk1h91Nc1pw8PfYC4bXcca8NwBiPfWlZCa5raGdRLoeN55ZV/n/bt/Xqg5XSVJHLu8uVzcESDoSezE3ohPGcxGn4OUVxPz6b0CRF/JUyZLdUsYsoeOL338T6xmXrLaJ8xpFgdYShcj9PYIx+/hY+t56lpIf313/6f2Evt4BkBRfARnT5zmOPdgEOOYxOGeJMV3D/+4w9Djj6Npwp1Wk5CwtXlRj0OZ7Nijz8lOREyBWU5mNicCz9P8kOycLxI97+CKSNSxaFKny33FadyguKT2wshiov+KPapefzHJBnlckK3fD52ir1mTkQ3nGInq9FCRaIjBVkmk3GOLNmNswLF7o/36j7jIggQVVBrMY+kh2Pflf89iOPiOfYzEWA2OvxVBJVldht7PAscHWNuCcK5gOhqdSpr2YAD1vZU0bg2LVa2pVrcl4058SKynyX69dTw6eXs8aiAB5aW4AAgCBJjZnGuFxu2nDPbMf+Nr1yXsXiY9ai9FvxhlFaXI8eyBSP6HsxJBDiE7RMcjZySDqib+WYbAGVVN7YFYVNsWYqjgAV01lOoGuzOmoZWQC+4QUIMWIctZQmRt0uoQ1CJUHKJzQJcmGLAOaQj+I2A6EGE0Hctgj5c4BtVhFfCotN3rgmLSNBpbKL6F7cm8S4Ns5+kiVIX7LRr4ijUbCINV25NY6WgmkfeiHE1sYAt1/ixNLZIxPGWZ7gngJmTP6JCHGYjYhy9gLH3Yz9Ik+c/ACXamyrb+9LQG/9Hau3YnobqutK3y6bS8y1L6UcnTqa3B6+kRri6MfRrD1PWA5kShmGX62O6meQdhPv3fzNEf9oFfP/7f8LkjBihoO3PPN4U+lI7dlBOEDOgnBob8S6BKGH9+o1hwNvQyCDDGecVEHqm/QeehZg1snoh/AGgBkPMb8WH1VrslnS4qHW1xrMtuDcyBpUh3QvImI1R9cILfxieIPTCrvcGwRoF7JUuXuxHHFKWXv7aH2O/tA4C8kt0YA1Ax18nCON2xHSHY1W2DldEBw+KvnsRTukEC91Z7tGcfv7z/xh+/Lq7ukP02ER7c0Ne9VWG+BDI0dLSGoi9LVseZfsOH5OA4AQnNhay7zjgZ472++fkJjrps1JMUsuZmIriy6dwzALZNBC7y3myo2vPFS/G5Lmc8au5I1GwW+wA//iJaa94LusXp3TPm4r7eZk4ppQdnVEr+tyLWU2ey6t2xa9OwxNRS5SxHP+LYsJljslCXMpqynYsE5SlWH/MqFF7XMlEQcW6rTSyWYHFvUe2G7/ZNZ4q8nM92mIZJkIU9h7KrZTg2X+JBdgSUX8Xrp5Jl/jLUyOBRctathMLqwGd1r40U/JSqpy6ynd4MY1cHkpLUyfJmnE3lilnoShAYIGJPNNn2ThT9Djb/DhOfupP9sSWyMrIwUig2pvqUguxn5C8BaykFOIhvKQacxYh51ODtB+d2xw66mrAI/UY1FcBbiqFMNeOtcAqTcAhsUgswPFgRzWrWBYx3NIMixEWi9UsZpVwVKK3ss75QhMIQCZ+RKDlhBVaBL1bQI8+AyGTe9Z9UWMj+i7EcAMLW9PlhU6AHHznEMHpJVDO9HFr+VgqmTybhgk1NIJ+sHL6WLhJKlSwWJ8+iXiSoKro2sY6cRpbCvDj8P8FERxPFbv/MHU+C9Ds1cl43tYdT6Wh3/4s1XZsSeu3Pp9eOfVueuXNH2Jr0JLa4ewGIXIP00oPFIkU42E6i23S070BEdcMbny2warion5qFI6pA59lrGJQwPYReFD5cD2ABUN0KEbbC9xcJ64SprNnP4IgQXTmGlFOZpBZUXS6BlkDMatBb9RKDKclgBmtrPbOnjvCwk03KAUgqn0oO6vRXSmeMARGgTJrIYTjofuqqOhKv379H/EEsYM5ALEHbLXc0iJopglQhsKF+4gG7ArJKMKmf/YH/xI03yN8kMDOtf4HiqrvPJOEVVGhkHqd2L6D12HrPsGKZiPxpj788C36gXhTG3ZE+06fzsopx84Vw1HR6p9b/35XlyruU3hV+VW7XM+Ols+tzGQ3qOc+PHUH7XVizklPPJmdANGKvohZnKvU7y2in7hw7WTP9WLHed6ZPfJmBaKeEsbTkiIp7+SW/PmUvEwh8vpZYXs/C9o2q84Os5uEQWictL5iinwZZ7VcHxczQumdOIhK3OOfDYiUnc8OV/IEJx6NsA7qZdWelaAS2l+q7oxAoH5bY5exR+QvMz+HO+jalcr5FqrbN6UNnTtQqjyGcTKEGRDG8Ll30zwTuMnm8InQL7rD4ABEYwCB1MndYepY1w4BYcGHWEuikokv4XQQrS3AfQRwC65mVlukSWwQgeIv4FGmuhkOBqJV3ropyszhP1FOcm5a/TBED4nOIiK5cTyF6O1CWys5zgoWl6WiXkgFiNTEOMStdJhFMuI/uK1Z5pgyODERhbO4t9pUhoMAxHqnC3Wpr4D0B9VG9cIY+q+G1DN7mnmjI9VrwzV1nvOArmoRVc4OpLnLv04Ldf8tIkEAE1Vwro0vpTU9e1LJpU8CZDbw7n9IzSCW13Q0pPFz79D3o2ntyKXo3rmlKULBPJgEKhv/NxgUN71wg7w3ORXAidxNSVdXLxzMVPrFL/4WLqQi7Bqm4GYuQoyM8TR4uR9F6CcQjgYg4+eBmF5GVHYYkZmuSiohLr48rK6J5SSrXYcvvXO4QXIVsnZtJ+5BzuM66ALEhNULjddRq8Z9xn4SiSeowb81hOw+evQIfrs64n56PdZgTyCEkGCNgTXsVcym41uRefq+EpWjs9lPPjkYEYX90GtYUa3BSeXf/8NfwRl2xsf/1m/+CW5wA/ZVW6lngDaehlMs51neT5s2bQ7Yq1zRR4ffC9GL7Th69GAogEUfCiV/mG6zBxysd5AykV+xAupSPBOJLWQlZtQ45WTK4HJ/9W8QrSJlCRGh+1GguMkP863lpQxFYhFEjkOLFIstE4WMAHLRmZYbZW2F8KzKmBGz7ESI85ZryeZ/SsbYtPlRMVmLt16+ocdRQ7HeyFusJ9u3cJZcSIa+iYWlYrDSygY6DaLAcWF8MI1hLzjR/1GaOk8ICTiOChxGN/Kd1G48kJq79qAfakpT5bhpGlP8xwKWBaMgDBnMMpT9S4gbswZm5CW7a7FheSOu24ZhK99sd1cn4Sow2JVwUGGg6RABApBDbA5cHMi4T6oBrRIePZsv6OUB4MQSzqHn0FHJ8VSjs6phEVtJkNUqFsBhI8Vza2MFpcOodjT+FtG7VdD+UkSZpYBQEnqxcghYBUCLaqQqFag67Ns5dHS2YRSx3ZXUmmbKMCheGk+by06ketCGIRrkJc9Wrktnqh6H2uHtfu5CqkbvpfRnorQt9W/+13CExKzr/3War9pE9OY+7Fv6UgHOi8dJ48f+Ka157M/T5JXLaezCBywgMOPBJnUKse3MLUhgruvS+//w04fELbXfKmJ8O1iWFbzFops29cJ1nEW/0xE6X90IXZ8cRLm/reuveVyFYnOWl3kvUgaa4CMqThf34h43q/Oznvtm5R6e/5w9wEjNiA7loQox9ld9AF6T7jiY3c+IWJyN88tErlg2gwtfU0GUi3yc9kpWF7/8z3Pm9QTnE4/ClVXUJIuUyykplxXw4+Xirkccc2SFTFor1+JKZDRvELXIB7FjG+Xjt9gSz8XJ7Djq9Ha3kpgQ5RqQj+HdXYW+31CWStd0h+SkDJ3xYjUidix3JhD7zU0gRhxmUTl4PM8aj6AOCCEdDZaYIYKESMRDLOda2ZEYCVx4ct/etHE90bpZ2BawQVJlIIw8jHQRd1XzVwYXpd1TBVttpGpA71Wx6NXkpQzRnF4lypDQ1KE+CG8gwNdLOQ4sFyi6RYyDZ9FdTU4CZUfvNB/6wdK0pgVujHpK0DcvltJuEY8sog1Sqrs2ARqTcyXp/ZF16LznUt/i4VQ1A6oTAq0IWMPpy4sd6XzFE6mi0J8ahl/DDwiQdJ57sKQ7jbc9j+M+PE5c/k2aB8k3NzKQJi4cStXbvpOunj8KrV9KTfv+JRYD76UTP/tfUlldG22FC+b5H6Yb94AjPIa6sEtFZy+//MeI6+oARryN2OtU2BddvHQqSlcAb21taYmPQ9f3mzZtB8r9cwAOmwEzDDEARxCtbYugZKMjuHjB8LCW6KY9wNGFbZv6Nj0CJ0R8Jl8e0S4V0Q0QYr5pTScfjmsQOPvgrMbRNXUyKKupcwuhOn6CPdOmyFsKeklxQf/AGQYZ+jRcSn/nO38MZ3YKSPrr7P9F2GCooG3FxdFHH72Vtmx+LB70KKCKHdufCI7vl7/8Ufr2N/8ENOAI9f8Msd729MTjz1Lv6fSbt3+BR41nGahT+Nv7CPEmKy4QRH5UfJdwdcQNYnCHRbkP9vuYlkfPF/PwiuGyxJDlvUuIsomaQ/YlIDGYyZQTqiBTXoyRZR7LZkc5wXFrllyomJ/3ZNQod5TfOcuYHcW+pfK7ZqeFRmRn+C1eyonIyja7n6LBrJpVRIqHijooW7xFEKqsETY0I1zFJsUmr3f1uVvZj2fHPmtJDgNR2xJRBFaneib18radoccth8OZLmlIFdPDiMsup2FC+qTRT1ZnD9ACbBuMDMQq6so6IF/UrcWr+RNP7METRVuI/tVP6eGhhEm+Ek80UzifLoPIVGOXVgOgIgSBixj6QqiqQPE1Ysqiw1m9RAxjLKveycgIZejRKhEHVsFVNWiHBcFahJvymQpThNTgGx8XOAK3ZJyoKrxG1AIKKxUSDlqwBDHfXKmRCQj3zjy4ADGaRYo0h2ulKUSD8xAvOVO9pS8AMFucvcLchdNZ0H+GokdYisgQgMb0ZS27uI9BD0Em0g9T1jGCmQsAxam5ijR1ZTTh0AKIOX0eRuHXdOH9f+DHUBzXX0Rjl3VSot5MLQzKGWCcteic/tkf/Bk6nFpACmcQdV0OpN8oVvePElpjGFctTU0ELERmvBnXRYanqJWFZiLXC0Ml1uHPPrMrQ+wRQNF0gBAgveu3x8SyCPtdVlqD8e8BEHRHgINvZNLXLmEJXdd5RG5VQFNxcw97X4erI4niVsALXluDAnicgWPIkFOnjsa+QAtBDRI74fMzwHRfffXHgD7+HB9he7kXVusol3ds3xuBCDUm7gHt19rWEYPJ9m2jfr1NtBF0zGQfbMSdUw0fQEfHRgiVylcM9BBz/vTnf017tVJfmZKi0O/Tzxc4ULNu9YZFcsFu3H7lMDtRPI5B5gxPLglZ7ObvhhMhiovz+YRPXgiYeVdSTrbyk+SJDBnRkpSYvFq8U+xLbmLHa3HzYrH8qpeLVWZEKDuIc/zkZfI2R31xo9X39Y5Z+rwEytKWXeLbQSudVcaTCE6Qy1oiNM8EEPZ09Vcpxw/WoezXSL+yeX3asHYLHNBOkIM8/wiGxRePMIGr+crE4YoGl8rAxwPCgHEJrs1vVg82it1KgdRX1JanOlC7giWEj48sDFEHXM3iNBM8XAfMTg3yO7msEohOAX3Z7BQ9z3ygTrmS+UYCNg1ib3LsZCrB3do4ospawFR1oANrcadWWtOU9NyxBg5HfdQ0REu3VsMYZ2fOarWDwl0VOrJa8s6yuC0tEdYOHwkXWVqD2BOQxjQedOYQOYa34Eo4zZlxQrfgDWdyMmy5FPktVhKOgzJ6JFF37cJKrxbltX3ouCB8hHmZrWwHASgGQO4pGznFzn8wNsWx+0U1Vsr0l97MFZVcwXb83emVoYEQzaJhlAML72RMhLsho1PqULaGVc2pUweBi7cFCq8OeLbxmw7BtXR1bgyuSISc3h4MhXz27In05JPP4g7lLKsynYDgBqRWV/51AC5aQQL2hz5sHHmztg+dnb3or85TzyKQ8bN4o+4KIMUUQA6DhP30Z38TSmHbOMsA7cS/nn621vf2QaS64IDw/oCSs7llXfr7H/+71NG1IbgqB6d9rPFtC9fqanHJwiD6BB+DW7Y+Et4vRBFqbKz7pK1bHsGA+B2QP42siBQfjKLwLUM0MA03hf1GDMS7/9ZWpiDfzlcr3cmz5RO3PRL711SWQdCvPc9IKxa6dktBzmdvzkr4k3JFXs56ylEaWydz/opEJruWlcwIRE5GVpGt7LKVBFcUO/wEISoe5D7/ImtcWFXIPDYpP2XTLF/8KzbQXJGKzcwP72gb7oG0n+IbEdSgPqtE0RiIwgK2hxNDF9LkwBE8t6PPgriUY0zbiJ66unt3aux8FDun9jQLUm1eG8tFiBYLUsFMph07tqcWFoEVSGtK5WjCMBZOSBswF5Kc16lvYg6YWgL8gX2YXJPiPZ3ILsIJGdZdSLrtlFtyDtBuUR97jcxDZerhaPu0BtD8QRECbFlCnVXooGoRDQqgKiAl0Q1bcHIs0vV8swhcvQSCVI74EvAw3QxICry7dmVlzFXWIfdVBvdlexTvavOkPkudlTotR1W2eOXR5XqpRkNh/QWGSmWR+8KpydRnb9Rtlu7me8zrfNC3y0RKmyB1Sxs3bQlO5fLli3BKLYAXuiAwxzI4OkRgHlsFCdIA4S2aEf3pn6ujoyc8NoywmtKXn6y90HK9DA/BYU1BpARa1IK02QRabgLDtkEGusTOFYyeGpzwNYpz0EyBCpyHTa/nPseOf4I4sTsMgBsI6S2IQ+TPJGEQbOuJExnibv+TL0D8GtIr//jvaT9W3CiHhaK70hoGPdOMY1zDe5zEq0VLcxNEbDL99Cd/CzE2dMAEz7qGfFchSjuLFvLHwzPFGGHCRQWOcG2WQa0fMgnTZQAXk5MTMYktTyT302j4Co/2jNhkD7j8mKt32PcwJoGcyhSvuziKq04uvq98G7tZphAJZlcjryQoIw45UcumFvmo4EQolueJjMVbcDkjUBSOGlZtsxZa3lxZ/ZaNQ0+ZsuZk+8ULK9ezi3fCRWUVf8avyEEmfD2vR+sY+4rHRLmpfpoFxj6FJ4yRASQaeJqpLJlkMie8e1tfWtfTk6rXbUtVTZuDm6guJUbblq04hK3BHpI5gm8/uDYIhE5kG/EIX8G5egAczUhLGnEcWwbRmld/JuFiwVsWf3BWEgg6yPhUBcRs2k8pdKuASkgQRfm5kJxCAmQbZwZPg1oYBAmI/geitgTXU4mEp46Fss5j9SIyDwdk/+oCznlsGrXD0uwEUHSID1yhQBrjTmmHpThxQRs1OMJyQCcSVzQXGAYzKiSmSFjm6bt56tV42PAgElHPaxCsh3ZRmXc9rR4zd73yL6dCH2l53Dv5Xt9xBw48B5E6ichvYLmFVdVGLl0utnz++h0liLyjSHJHBQAUvD8G0fU5b/24vV1k3yUIHBB3FI7l5Vh9Q3A+K2lnJeE1OeAcS6uTyCBjyuRptfeN/Nz1WyfLayeJa7rz+uxf4vH92q7P0SWriIpDl8Ms5VuO3M0IGTsMU/NIkuJcsUBkL563Aq9l75MxEOfjbJR1L5KFlod98cCNqYXXFsEAAEAASURBVHjeTbbLb/FccGhMcPl5CVN+SSrlsWey89kzeSqO/Vl1j8gbt85OXjv+rOeLS9GfZRAPiQgLx4ihter21WtqUlX7Hpw+45MPg6jSpvWpc31Paq2aS221xKmrWki1pZPoreFQwihXWy/ibM2XhN6pGmetyNFY1E6A1sWuicm9Blj4mvJ5vFBczQiTgA3uvcSitoJVSTUiO6JLgWTUMS16Szi1atGCLFDt4zJcElUiySmDSE2u2ZlmyhtSew0EhKsGep1RD4VI0M6fwg5NNQNUDYKqt3SMfuHsSiBS+J0AjWdcKRzdQnDC2wQEbQbiJrGTcKrL0jG3xNJ4U1Pos6dZXI8D5hjCm02Bc/c2xUC5t7f4Ampf5qRcmSju68Pbsk5Xw8YAHc/HRw4Rlr0Z0RiugYBKmm5EZPSjJ7vbt3k7rH8THBZsPt9Xb+9WxGzrws7JsjdaPOjQ9cknX+RFzqCb2oDoDxaddGD/txD79bBXFsa4eps4g+cHkyAPP1gd4+7a+SR6JMSBjLRnn345s+9isJWW1qYDT74UIsVz508GTFRRgp6SRTdpWKg40mc3Nowezl3pqIzVbktghDq5gJ66gkTI7ocZqzhu/sVOEPlMFY//e/8TE2TM3hIXiQxd4sweO/muF/LzXuOvuMnKZ8f5b7xPymfZLFv8iwwSj2IFeQG3nFoeB9yfXMWT2cXsON+PDB5kDST3ctn8ZPEWju2sPeblJOMvK5TV76OSwd8vNwEkMCCjyD6T/u7CuS2exOeROsxePZ/GcZY72v9JWt+4lDqb4Foau1KhujNNodeZqliHDgj4eAWEie+xAVF+cz36Ifp6Dme7EsBa0HhrcBCwBuPfRvTgzeiRa1BByFkt0i+KJGHJIBiU4TvWQa2GuC48QxwIcTPOk4tQw8xPAqKYJ7Dr4DSBB2fnU1PhHG8NH33ML3XEsapivitnUa2OvQoxoz2v7n0GXdYM7pbm9PCBPkoIOneIsor8DJ2iLg+z4hDzGQQTED2l9cCuQ+HMkDmc2jIHzUIEH6bP7gHebpaceBX3PfXUCxAUVilM1mvX9eBFYkfaiDHrqdMfAZDYAxeCh2/QPY24K7l8+RLXtqX3P/w1DmW3RhnWHyEzPnPmBG6KvgfR25WOHn8fceGWEP+NjA5Q/yBIuj5soi5idPth2rv3Ka7VpscffQGRYG3aufPp9MGHrxPm4/F0GrssAvJGDBptrp7c9zJ19fGCsZlARv7KT/89QI79iOgGA/BQh8jvkV1PhKHxN17+HnDannTp9YH00tf+KAbor3/9dxAm48wAU+UZc/i8E5A+xVRySgBNGgzrbDefnCRWphAXxJ4Txj2cKIoTVnaLe3ifeJYH64fpnckh66CVuZrjvJvcdZ+ttMV9NiRKLp/IzmS/cbFYiH1lhf63DnfMxEEceopUPJUdFC9km+w36l1dZnVhpq+s7uvuQW2eXyZQq26U6bCy25Ej3/mMbbTyM/Lc4eXlWyBZYNGYRVSgf0TrIulQU7iAL7xKvC+UDB9PLWVjqamkMy2VdwFKAIKNzdXFubZ0cQlIOaLFtkp5IUR2GLeqB5tnbmpgXmiCUBmqXZEfynB0wzVpdqIZzgc/fYjsxyE+MwRY1DVZJUShCk5MjZLQJugUdAwIPATVxeYIyLp+YOrrys6liwsgdblHOKht6krVBKOsBs27VNuOWyb0VxAmxYkT4xgOi9iDA5qEO1qYw4BYTguR0RLEdEldFXcE8wvRRX2CDsvoV/OLiCchkIRYTJVwXuUQRhfCzivXLlJWvYflPl117rZ370olt33Xz1fg5m1d5qQU9clJKTftINyFwQ3rsKKugX0eHr4I/HsDx41h86ToTG/ffZu2IsKbRfSG0pMJfCOER392Guiqa9qwYTNckQHjWPEslkLIehkk85zfCms9AeE7Gigb3Q81AcCow4/eBGE31PuoiH3ttZ/B1e0N4MTg4CD+AHdDzBRJFvBCDLsNe71r1wH0TvW0GwYc2OoROL91HV3Exfoo7SWC7zQrqNZWoKk8hzJlvU1ksPEbd8pNB83n6/l7XMpnuBfpVuq9lTx3oW2fcpsgUvl1trErAcrPMY+bJzufTf7LLVqVzQz5lJ/l9og9J5G4ktUSREWuxnrdRs3ZNjgmz3kYGbM6wyC4eNOoi7I5qcvuyZFlTNwv89vnPn9ZM2J7LYEqXmPzuVJ+v89V+DYK2Q+AJhYRxflAG7t1gyZqEO6DBWAtYrs1lRCl+pLUVr2ASyBEdhChq3PV6XKhEuBEQ1qqwdEsov2WBnRVLEBrgaVXAaaS0GiEq9++WuafWh0KcK0O2yt9Ac6hIJrB6eucdlDcXeKm7kGioo5tsRJj3dqe1Fw4TxOxAYOIKKKbRq8+i3lJAQDXAl54gsMKwEQdnBae1hH7qUfTF2MZi123iglFDM4D6ppD/y7wQjGlGkm5KMMNxX15ZufXWcSDgj2cm+yL20/36gXeq3pv/wlXl1gmUp50gt4IAWmAldZh6giABh2qtjStjdDw2ido3yQqxmBlTU3tdHIBzugiVuS97ONzixc7DSt87NhHOKh9BLiqMPWFADX4cZ4kCu+WzbvSBwffgBh2A4S4wH0X8ACxHu7nHASkgLwW9/2w/Q0oUuuBk44Ad5cwmk+QxbSOG1k5WZ8KTr+FcsQFgjiMZ6U3CsN5yCWJyjPW1fDV/nA+ewl4vGVqgbULwMhmgtVd8nD/s3ogG8r3x4DOuVzbLH3KJvfijhvGRiCwJDirTmcZs0KejnLxw5EVMagyGuHv6lS8Hqfya9bgflYmu1TcL9bjuSw3v9n/5dyeL94yimbPkJ2LvMtUjKIO9gcoldrvtLcMmHjPulaITHksNMvQJYUoDjGaIrgyiIgeydc216euhsXUUbeUqpDZVZQC1iL0xdXF5nRlviGNzQBVx6HrEqI11r4healhjqjCE4wo4VZcuK3D+UDHOhzrQrh0DDuJp1g9nSsI0YhbXdX4Aq7b6NeOqsnUAkijHIKn9GiROcxoy3PMDeqm5sav4E1eWDy6JnVILObLiYNXiVlKFahGEYplcEVlivrgHCemCB8P8GIaglVgsT2PvnyJ5yvh5sa1kssMJGKAJ4wATMMeqORY/2LTsrjPj8Q0CpqtwErgww/xK0XSaaw6po8+0mXQVgaFXsghVPiY+vHf/7/pscf2EW/qDMSLUBa8wFFQcBE/h7Lvf/hGIAQPHXovbd+2CwTf1fCRp7dzxYE5SENRo0a2hw69H8RII7gzZ4+mTfjPe+31H0NkcAqJ8d2x4yL5FlE8grrh3ba1AV2/koXjcIxUlDbS/it4Y/+Qdm+gze9BtPYQE+sUcPKu9E+v/m20XdiriEOTjm/ngajm4QPi5MOfT+2BbJq8HyZLxSXFyZwWx/xtsxDV5ZNjPAgXFPl4zpTN8xaMrFxhJ+qBsISYLzv2ZFRX/PU4quDkch1ZjfGb1Z3liZLmi/v5u5LiHFfc2iL/rM8zsW9WJ3dOZvfxxAOaig/UzGIR+hAclNwJK9pwhrs4CXx8YYqF7Qg+75pTpY5zEZu1sYBtbNa4lvAXGPMuIaaD3qRCGZ7GF2rT4Lh9pYNa9Fx1c6kJ/EYVhLCmXNdGyPaY/Jt7p1MXevQxIokPDw+nSxdBIuIYeg7ObqSc+ueHiHB8GS8TuFcCmt4EqnACYIOACISDAYaAUkVd8yyOA/aOrWUJaL4yXCrplcN4VlXq4Wq4L5zYDERuVuZolvK0XT2WvggD+YcYUu/rpbTZF20Mq3sNnbj7o8a++WLT8jfhbV2V1mA3NDV5BXEfrv5ZJVzBuPXzJGHpF/HVd33SP2B//9k4rWeLaXQ+ecr1YvmxW41vP/7k3dWn0sbendhSlEO0DqZtW/EkAcXSrun6VF6mN2eUlvoeS1iWo29aXBK5Y71PpJOnTkFsMzPFGyEbr6/vwTi+5pU+GE2+w1ZmtMfnNmUTQBCp1TN88bJjPM+Z5c+O4pef7KoTYPF8VnmWNatdGhiTjCfzXbdBUSwWnI8EJmuLmeJ6cSfbJx95Yz+uF8+6KdaRcU1ZOzib1efOA5TUYYd+u701beldl5qIrKvIT91zDbZK2ivVoltSHKfLIzmUUv4aDdXR1sNcnwU21PPMDOIx4iOkljrEbHBXE3NlOMadS1dmsFtchFggPlwLcrCxtiI1VBBWHh1QOcRQ8b7hOiYAc10moOCpC4PpxEJXWjt/PrUUziKeK4AaJD9AMeNd4XQCrghPEogKB4dGUhMmK8AiwmZ0Ef3TyMh46LAqIFCVqCiWbDMGv3JmE+jEFuHEpiGGU3BS43jQmJ3Gga1ul/Csoahvijw67x7FY8YUnFfxzd/hW41Bc4d13J/FEfeV/KVNUx+kc9h/8ef/Cna8Ju0DFacdVBl2AH19uwFDFNKTe79GRxfwzPAYnNEeOvlqiNIe2f0MXNa2EK/tI4+W11tA+VVVNqYd2/am8/1X0jNPvYhuqD10Rbt3HkgvvvAH6JUqwpOD4TsUz03xMnfseIwBnDmU/SYui3qIFdXa2gHH9nTq6tgcL/rrX//nAe1sbGjGq8W3IIYXwivE44+/ACe2HkThFri7E+l73/sBeqytEQn0v/iLfw0RXiDvufT0U1+nfbuLwdaa08aNWyGcp0LO/buvaWWS+N1rD898vh64+326Ivaz7uwv7pLfqrjNNpCg/Dy5nSR+Z6LwOpNOxu+w/2kp8q7UkQm4Vm6QaR2yO3g2v5Ldd9Wd2Y12sc10UHnOT7v5/X0tXyzobLqlCXsiwAuGZQ8AhKwVXJVIvjCDRgQY3AqSjXnsmSa1TQS0oLshnVobSbcEo99CCSE5KFNXsZBa4KA2tJSljWtQKWB9e3l8MV1k3Ts4g4hwvjFNAsbQ80Mp4rw6XCrVQ8Bmq9amK7PAyQlcOLmAbrsEH4YQQyHu6qc0BF5E321Ehj702oOjOM1mse68ZBhCRXRzcEnIKwO0IXBjTrUDKggUWxGviskEMAV6cDzRl8DhxVtm0RL2UxAxDXu1lyqsCp56f7/Ju9G6zzeel4mUnIQ6HCPXroXVLqODHUBdXRvhqtArsdroXb8NeW93hNgwkqaez8+fPw3B+X4Qj57u3iBQXZ29waYLsdyx/TG8RbSkjk7BDIcR/zVD4B7jYyyF0OBFGBsKgwwKYZe4NOFy5SpxqPR6vmXLbs4ThZOgiTpgVExXUQUyB+Pc9vYudE8XuF956Jfa8QnW0tTKqgeXLRjwdnT0Ulc7oUam0/ruzShdmwIBODBwJnzyvU8Yjt7eDUEEJybGeI7jwWk9aDL/uzF0vkp1rBAriUYmeguywHjLOByeNv9Wilu5pvxUNptkPRIc03LnmGMVQckP8635Yj8jbBlxKxK5VcWWs0XrPCo2xzzFulaye8IkV5btPWi/OZFqBJnX2oynGTgbXSDpuYZ5nHkmcxskwETJjZyXXswry5bgghDDE6ajBHvIeWDfteinqnA4Ww3HVcFcoIPYGZ3gYRNVzTdfXwn4omY2ddctpDr0VZNwM4Njs+nSbF26OEs8PHx+1uI2bb4JF2eE2djZCbEDur5I+akEZ0ZdswR/LLCdR481O3ol3CDVMf+Vcl9tXAqcnwduLxBrHqQewUWC8OguqQC3No8+fhYOSi5qAUKmeE9/f0vqnuDMBFqoG1NXNsP8KFLwYfr0HuANp780iwRKcdiGDRsDQj5Lh+u1WADF2bNHIAqdoGaIzwJq79LlM+kqiL96QmicOnUMhWUTsPANqKSUIeNCnwFUAMYt52QdInEM6f7++2/C6eBlGTuHBd6UbpT00Seb/fHHh8I+6+OP32WFgcshVlFTUxNpw8YtEcpDX3zGr2pqaop4T5uJazUEMZtmIHR2dMNOT9Iu3N5DcBwURhrWFspovvoZDLdKELoxZNAtbYQK6N4I51gIQrdxw5YQQU6xajMAY4b+s1f8iLL2qz+zf/xz3/O5Ti2bGPMJJSu3+nf1xLn6/N3fv3kb7v697tMaWWGv9AJ7TAj2P/9JXmNmZD+4nZj4s9xeV8gX/7NTQdPinEWDSuT1eKJ4KqcelqG+kPTFRX9InucvO5+Rrritp93hWjELB9aZH+WxqKw0LmU/Xn6Akt++Cz+ReR1dPRAXvi+OtS7Sq7j/KgEeVLJIjVAbEDDfkQAGu5a3hTEuYnq4lCkQxROEGJmfGCYPkG44p1pDzKPbkVBhHUU/q2ZfwlntfGoon00bWgk5VC30+2oQrNNjZenU8FLa1EqQ1tZKIhgTaBBRpGjiSsBUJVX1aRqCJdFawMB4GM8yBfTcopVnAFKUQjghn4wn7sm7mJPiwFE5n82gp3dO0XffLHOXvv6m4LAcfxLrSY4FiciJGUx2Bndud4dIPWCD4jbH7zKR8jEdTMqL33jz53AgwxCiy1B7PA0zGE6fPsYEToh3AhLqbHaSlzBOp1+9OhQGuNo8fXL0EERoLTDw9yAylmVlwQvT1mmMgTU6MoaOayBEe3JOhw+/i8ivFOJzgUE5F+y1eia5Ib1D6A5JFzXvvvsrCA+BzFgZec++zVtws3SOOFBncGO0jXDxHwWx0YffGFbe2lD99r1fpMPosmZnrxKt902I5AWg7BfCX99xXSO1NCMGPAwLXxnE7sTJj2Mwib6RY5NQ+YG5lRjpJd5r7mvgqy2V+TLi7qfEdxJETKLmn13Luok65Bo1GvY4OLUHdkw9KA1fTUzyNscIZ2JR+Ma+xCAu5WQoDrjGaXfjeuz42rK8HDonmbzsbhyazRTb4gU3Huf5nXHj+sq51fm9nKUsUxyunMwvfnHbvK13eMeck/I76d24OTWxQK0CUl4NdNwICBq8ouABgFAVqDrz6zC2Dt+hvgjh3WWKCLkul6XfvmkAWOOXiYfFXFIKGli4t4RBQqjtVDlcVcSukgSymPQdUGVqKCNa7tJkGp4sgOojKCJe11mGBjpvDYvZBgx5dWJQiVhR57dzEKnSupYwKh4dHQt90ixIYYylUGUgsmSB7UuVM5RoidpbEGIOd6Qpjt7R5yBIpSyWhatPuPDGe4aeJjIXcAUW2fgZvMM+vvfFv9wWevf4HqIZDAonUbmm0VHcdiBf/awki+7LudPUCxpPa/GBgQyooTf2q3pgJoWkxvF0G6ke5M0EUTtNPo/BDW8l1eHpfFKL8lVJjxlDRS8Yet64ehUkYzHdivukPK9biddqTm31tftjf3lI3B/NuYNW3IiDdU6M5I4jX3ZmNTXxZLELnDDdjw+kWCwrk2XJf80RVZmnWJdnVpfLuaaMJBav5Js8I/fzn99gLGbyez7A22yhB99EP7740tdTR3cPARUbEPPjYRxnz3NwSOUsHEpZpBo7qgSCoxcjI3hXslMBl1QN5FtOxsUe0jb6xlDzSn7w4OALQjWhXedakMjz6MHL+fYN4MiVTHfE4lIuZwjAw4XxknRmsio91TWfWqAxc5yfg4CG9wcWlzqb1YZJQMMkoIclpDoF9GNTBFCcJbiqsPQS9FaLzI1VtK8OIIjvfxaDXe2y9Oc5Rx3jUxAgdE7lcIHT0+jYGBd6t1Dyo0mOor7RCRbVuEhyoFwzLr6U921v5QPxS2nATW+6zEkp5pJT+Pa3/zxt3Lidl0aIDKyuWwmXIQur4rMau4B2HM62EK+lGkTL3ideRNx3BITdEyHqW5ivxIv6LsRvPaxIsHGqbyFvKwa3eyJCb31tG9zRBq7V47h2PTqjdVzbz73wWI6L/HPnjqcXAFQ0AIioQWa8CDJvPeE0dFK7ue9xuJ5GOKmrhHvHHT6xXBwAVRjyrsfbhTq0PXsOMLgKHPcRd+o0oeAfDQKle5OdO/aHXdclVmBVlU3UsY5OAbEDWOTb3/pB2FBdJmrwN17+I+7ZF0a/69b2pj/43l/ARZWmIYj2d775Z3woJdh0bUz79387dHW2+cD+r7PS04K8DH0dBoJN6xCBrgVyP4P+bQe6L6L9ErpabxhjY8NBqB74Scgx/QCkZUJ1XXuzQ3/zvXyfbXaq+MkqGHQKKZ70md1d9T3n5CgYnyB6qy5LeJyEovhKxVF8uQ7PF69Z9ZfJQXH/u50kLj5TV1dXuDgynI+GuLU4mG5obkvtzAnVDa3hqFXbqQISESd0CYviT4B/rO6wo+JPm8dZFsXWoY1SHWCGOtQFAi6uEsZnAnvIBWyUxuG25GIMB6++Slsmnddenq0OvVZ3s4EfEd0LH0cvphhO7sZ7qaIworeSklLKVmPMK+iiARi9AK86THIEcMzQDhF7gsmMuqBdbhUE1ST35zP7ivVUo7MBRYIuUOW0ZonOOMO8OifVfZg+tQcU4F6TNKCdAWW3BrdH3QAO1C/JhRhnSa8QV4ev4L7oueC09CRxYP/LACq2BNcjIfPzHIIDKgWBs3Pn4xHevQIjPdOzz+FHDxuDKdAwEqqlRQYKfPiRj3WN9AKEaCfeTmDzHZhlbWnTpsdjMHZ29AZqb7bASujCsfBYoa6slEHW2LAWYtEGp3M+RG9PP/VSEKx167qwo1oHcdRnXzk6s14GNJ6VkT1rdKwe7LfvvRrtGhw8BzHrYMUzld7+7c/SC89/J85rP1WGfVY5bP9ToBaNPdUPOlAlsB7ip4qcWgMfWEfnpnT+wtG0eROQeMQYipV6es6GPZaAkw3rU3rjrZ9FvaUQMxwyxf4D+7M8wd7fT5BN+NeQGBqc6TscqzkRy4gIl3x1oQlhgoG65AQjJ0TxtPmzO3nm+3GBwzjmQlzjh+M4tfKzkqdYJt/k98qPH/itj0+HCJJwMjbmky7FBBTMof/Vv54ckuCFBqQVEou59m4IDQb3Vy8AlsCxLE5ZdZJUjbCmpgqoOIWqMAjWyYBEwblqwSCIlJVAeL+Z4UtpaXQQv4H9abKhBePfMkL59KQWQF+L5YtpDcCK6grevRWA+NV1URVzA9QJB7DYNSmCQ6cl6GERbkixXQXEsFJ9GotzPWhUMH81NDcXHckaowo0IuoIEYL6/TTESA2ix1HOSbD0lWtgRyUphgZyfCwyT0goqzHFUUWhaFJ1ggtn50fPeV1nuLpnY7DGXKboVPWBzyrRcwxbzrHn9quWljkpVzs+8I4de4hwe44JXYIDwgVqX41yUhCCaDmRNRn7XZ3OnP8YrodBANER7ac+S08SPRA3VyE6hrRcHk9qM7D0gYtnIYAtELJLBC1cByjjKKx5A+eaKV+P3upShOXo6dkUq5QJ3OWLKDx56hCDvQRUjK6P3ksvvfiHwTY3Um4UFM4Ig9L4UL64y3jA0NGtsPI33/xZGPTKJR46/CZIv23ctyO99fZPeaOy4pMR8bcRQnP8xKH0ve/+S7ZHgKrTTlA9x48fS48QNNFBNUG8mVY4Q8OQhKwco7xjxw6l3bue5HwHz/JJEN1JEEkT2JpV4GxS4+fTZz6GA+2JFdp5iGYlH5MD+aaJez1Md7kHok9zYnVdBxcPV85mwhe+fRJl+Daya/6qY3R77V9cj/PqJzmKE8waRTmfE8i1ZTxeSY7br2oqhYAIvTZGnSCrqvDQAAQczijgIYjvDJWhaLBKzghRf31rd6rim5TRUK9dSpkZxGS6O5JDMghiKROyKDvFgnIyY2NjcEQQCTgc9VfzzGcFgAvzeMGZn/CbnE0Dk3iZaEZ0CNBqAWKg2I4fCA+EhX+VzFtlcE/qGGyfbosUz+m8QONbdUtKeARqGLIjjHklYP7pPolvXgI1NomNFnorCaEeevzeC3CBIeqbHkE/DggDTlCuUJCZc69zlASoBgCHbuNyIqRzW3XixqSyH03m9888GYFy/Giwbo9+tcbSMpFSt2IHGeq9FVCB7op0j6TropMnj8DJrIMrMKIlLoVwN2L4Dgfc1auDiO46g8MaYgUkO278FENNy8Fo0DuFjufSpX44kCaAEzpzRGSGUe/hw++ndtyX6NeqBiKnWyRfyBrkyWfPnQCoUR5ldLEUL5mBOAEwwqi83cDdBwbOEur9FJD5NgjSOQznrsbKw3a98eY/4eJpU7hIUVzoHOBH4sueZXAWGKSVDLJhOEP9A3rN1ZntMp6VsW1s77Ztu8ON0jvv/AoObgMc2wB/l8NfoffX7qoK0eQwz74G5KFhROaIuWUbXSXapwZvtP8sZ2Rhndh6/iubYoK+n59ODqrYPrfXfNPZQfabZ+KI3SBxsaWMlyRA/AnuCU4sCvkTOzHminI+zuUpr5Nct0OYVorlFd2D7b25SbbSh6NijmkBFCXRqsKY1+9DwiTwQNIe8CN0Ux7LFdURPLEZP6KVuDwK3TcECLkd5AmoOIAKCZPAA4mS+kPdtsmNKXqXWGVexp3E4TiYY86MVaRRPEq0LxJlAQI3AwiDCxBNysnhsCjn1oj8QPFCkMIRMe3zvdsmxYHhg4+2Oo/IFcELwQlKuBAZUk79GI3gXD1tfwQA2QjEqIG/NUiFkFLBGVbXr0v1SKUMnPjEnmeI9NCHKHQ9C+vdzD1wj2NDqE0ejfliU9825tnW2PeF79//YqhMdj+yjzmliznwQvrmN/4QSdFG5szjtCcDa93W2LLi+zg5Kv3SYmPH5x7A8zY/+sgeuJ6hIAL5uc+zlbNS93Q3kg5pJS6rk9bqs8iGPyvpxskowQ4ek/63biUe1WfVe7Pr9YQdmJhYsYW4UR/frOwXcr44Am75Xtflv+7wlqu5PzLKJdmS+FnVpIzI5N/F8icSOdVRkSQwn1rs+osr1cdKN7/Fyumv7h5d4UTvxPnM088gyWjD5RFoOhajEotqFoeNLBKN11TJd+wCtxKCZsTfSvTQcjai+vAzhChdTmkmjbLwHB44A+hiHtEdREJODRF+LX96sfB4asIo3IrUFA9WpAsl69N4qkqbSvuD46nEFdIcLpB0r6ZT2kXE+9oxFdAXaU6jK6156pF7U4w3gzpAjxESNiHztmmW895LPZroYj1LFPCMUVnRzrO0oWfHxynPKTTeYIxDg/1pAAZgx4696cTJo6HrN/L5GDq0TgiNOnN1XN3dfRCm/nSBRfiex59L77z9i3T06Ic4KPizWOhLoOTupiFqVfSPrugMxPrRR79FzHitJ58bDiyH5+2MwdvNf8Obfr6Ty5yUsZQkUM899z1g3XiTwN/VNMgboeBCv+uAYnZ2dEYU3uqqRrgnRGsMPDmn65OeIORWXnzhn0XnGYfqes6hi3DvGu8O8tLypOGuITRMneh49qGnGka/5cSu8ZuoHpP33AAYQU5PyLkeKeRcKuCMFLHJNitCdCWlnmvfXnRhsOPea3PfE6D3JsN7ekfHBgbRUdr5h5RZTI8++hTc1w64xakwUC5nVdTKAG7CmHjvE88HF9fD4Nn/5Msh7tu+9VG4LRxfYq/VgLGw9h+urvwLpSyDwIGUzWaIEoxlxQf25aabT5531q57Ve+dterWShc5Kz/aGz7G6pP5vtv8L3iA7Fiqt6zgWrl7zAcStltO+X1uucB9nVEwgpO5tpU6fQ5jXrgen3IR6YncT2lIc3BjhHiPGR1xHv4d4KygTHAiqBOwq6xDwlHb2E60X9y2geKbhchMaxQLYdE7udvhMSNml0L8Ml2VSMJ5QgGdn6pMDXOXU+k0UcC5xxxERWewhg6ax2C4gGphinAcEiNdFymClCDZboVocmmwWKGjyjxGIKKj7fFHHgmiLqAW0LXX1XVSDqNi5oUxDHtFDOsAuxb0cBVqjWrsseQwjeQwA6GZpT3DSKWgxAC3tkO0xpjbruCgoIO5pQUiOclcdQIPOruiHnVwExDhRx95Mv3t3/wwbdy0kfluKsx5KmU2fkedcK/G072qd2U4LwMnfBGmZuTBFQQse+aZb3KEB2E6UBZXOwU7qW/TLl5AI3qrU0G4XmKCv4IIDJUe4IHe9Am2SR+il+rsXA+6blug2Qxk2Etcqk+OfRDgC9GBlzG8NR7USy/+Z7gnWpfe+s1PAB6cTN//7n9OBwssLYHNbeNF/YiyW9O3930t2Fk4aVZKRvk1nlQC0fdSeItQMdp/4WzAw/VGsfuRp9NhVhVnzqpTejpt2rQdHRqIP8LDu1phjYQoUIRf4qNZg+un7aFr035r3bpO2neeOh7jmY/DRQ4gDqwP0WdX93qIUQE91+NBBBVdmgxBMg+RL64ZqZ89BqEEy1WO4ohbgfRb171NtzNR3k5L7lW9t9OGz583F4847m6csis3fsqVs47JvIY4e1uEafWdV+pcffZB3c/7V0evbW1tcEnofRClNfDtqeMWol0h98LELgHRCBYVNI5fIUyI3cvgUBZmQSAjkakAWSdir2P9ptQKkniMyd0/qE54qZgmttzw5FyaKiMmFQAmvT9UNrRh3FuTmpjs9XRTAnHReazACL3SlIxVghLUPootXtVd8M7hF3C+lAUyU2Me/ymIp8QKV0olALAW1Cmxrl6AWC6gQDOgoZzb+MQAoIkhiFIri32NeoGvh4eJSeYCro8vxDw0jvMB5z+995w5c4p5piZ98MGrLJadO4cQMya2/WFf6rufwE60mwW+xO3Ysd8i8muj70YD6XzmzIkYHjIIv5vu1Xi6V/WuPMEykVIpCC2CwlelUTw0KDcWUaK/KtFocjJtwNHLcFeiF3NXKlu27AJtdypAAzWE1hB510GEwg8PJij8U7DDS8DBN7OymIaoHUXmugMxG0a9xGupY1WkW5G1bd0AJbLjnbDAyvg1mJNAHYWomZqRTefEQ8CC3tFff/Mn1L0pZMiCHg4deSPaaH4JyGaITiWj/JVX8I7BAG4G8PA8fv4YbiD5utPRTw6muj2IG0h/9+N/SzDFFyHGrOLE+iD3rkHMcPbcyfT227+KPH19W6nfFXdZENONxMp65Sd/jSI1W0Wr6MxSCHNi1w8z5/7yj7SY6b7YOJneyyF2r+u/J53oO7tJxZneyaeSEGX5lkkXi5BYNXHtZuWj4B3+PJB9yjPni+BLly6xmMWEpQ5Cg9HsNPZICk/miaVRgp/QesR+1XBL45hqDKPD5ZODaMFpQTQEJhT4M6xGlVITOKUqEHdru3pTe+eGmCMUB44ifRkBjTwDmKqUuWfWOE+YrtQuDKY5uLVqoO9+x/Yl1cRcNA7Q4eIwYIr5YeaNIb5/wGLULbESDDHPPQ3HMYW4TxGf5cOYl0XoPPqoAnZSwANpL2hBiGVB1QaL0/6Bo8yjwtRxMAsxHIdbGxw8i6RKCcvN06FD1zrVznO+9dZrad++Z5hP9fpzKf3o7/4/AGNtRK14i7kVogaBvF5qlZfNt/d6DN3t+u3Zv7TxrmBM3XAkP/nZ39C/Czhh3cHqn5d38Uwg7EShjOM5oqWlPYjVyPBVBlx3QEvHJ4aikwQ7SNF37HgEZNwnvGxGAVO/nSowAT/8yFs3QajIP3qZwceKCs/GhwmrIdemo1rh4cLeneD7B86mnfj/08ZoipesZwrjQal09YVXMlAb6jXcg+vDkE7F49mzpzlXk37+8x8BingCRWM3oI8J3DK9HSALQQ49vZuCyA30n6SMq6vpsOeqQiSnXdiuXU+ki9zb+7vae/rAN2in8asmEIc+kvTAIWiiFnuwXI8n+KSSsNMZGsfnlqihJK5E3IC8W3FfKatFBy8XOMZ3WBAyFgdA830H5pdI5u+DSh6M5Mh8mO5uD3zF+jQTgRMninmgtlbP54jk+I5dIDtH5Gg65x6BE9WIygosZPXi4LkJ1A4TehVn0p+Xs/IPsdYiW0VzhnAv55uqRgRfD9K3BjOactQUKLaYWzDO1Rs59U1hg6Xd0jyL4Xnq0sOEHi4UJTayOK5ggYpRFca8E2kUQjnFPCNkfgouRtGcqMB55gv3x4Gs20YX8Qt+u+jTXMwIW5/lHi585xBBzsFuCeaQ01IcKFBDqIjAEV3DaVJjcg4phyiqw3ducM6Q05TIG1h2gfnvPBHKFR06V7nY14WcyOMVAvXVGjg+DWuVbGOHwcMqho20gYl8BCNWdT/aE5w/fz7OG1TMFeTFSwPohvoQyWXxWlRY6jVd1ngcGHZej25OKlCCysLv3fcsEPVNuDp6PTq7trYMIrIZgnY06m5vl2uqALXSD7ESpaONxRSow55w06Rh3AxseB3u+idh6fv6toA+PB5ljdZbYACaqIIVjTGn2kMGfvJkxgrHRX46IVxyZ+fOnstPxXYNNlCjyLR7eriOTur0mZNhb6UcXcXohf7z6NJA0kAI7a+QV2PnYTfmhGXVonq57lrsMPQNeKOkvN6PZnXK61597uH+wx54kHsgR/k5th97dDeifwxjJQw4nTZ0h6YdMWEz0Yuua8DZtAhhg5PqTqgaqY62VQVMXgQw6Bm9jIm6PBZ/LPQQDdbDJekaSR0WgrcgHAUIkYa+s3BTC5Qdw2OM+i7JRLg5ghiUM0dpXlMJsahgHivne9WZ7OCli4jx4IqYzAR+IcCHEGGjBEGSEBWIOC7RE+ShYbDE1HlAoiQHOCNxo+2ToAq1wRpHB3YVTm901PBBt59cxDqXqDpQLGqyXyV6qhy+immZSGWTYkadDuz/RoAljnz89m09sx14I2Myo+5euHAtMbi2YgkVOiW4rTxVqndCdrw61cDqa9dkKJB2YO96mvjN2z+D+9qemgE3vPv+rzA0fiZAEIcOv5V27dyLyBDjX4jtApyM9koiZeTi9ONn2PlOOMETQOx1qPvoowdCeSkgRMXpME50b5YUM/jxGHJgFlipSa/tih7ffe+1CAUi8aZDwrP8b9/9J+yp9gdRO41tWAOhUdbyDDrJHYAjE4xx6vTHsZqs40MzzH1OqIov6WZN+cLP32/t+cI74OENP3cPyE3pYLWXRWB3dxcSEj3ZwC2gD2qAyOjTT2JVjX2hQAW9RPgnF6JNkgvYKb5fnM1kkzSSmfKaeggWRI46AobOpK2Ybgkg1gKL5iX+nJsy4oE9VSADT0G0hhA1ZsRnjvq1txJUrs2UwI5GDPbVUbkQNUbUDHB3xXazSF5E84XfQYgW6qiIQSU0XtV+KfPTJPms08WnRswzcHKaz2jLdXUI4AbcXwiMKXuz9Nnf2WfnuFndD9J5FxN/aYPlfhw83/32n8ClrIEYTLDS6QDH/1K8pCf3vYxOqjt0TSLg5FKeOvCtADnseey5MHzVzkkgRN+mnek0E+43Xv4BLoJA4iCS6+rcwurpeQhDbXoJ1J++thQNDiNH3bPn2bRl6850HHsoWVbZfg34mrAPEGq5pqkVeTUBxXjJ+w8IlDgZtlldIO127tyTBvrPpccfeya1oIAU5bdr5xMM2qbQmc2x4tiM2NLYWErZMpuopuCGtLPY88TTyIevoMd6KtqtWHIXdlPNQGTPnj2edBG1Z8/X+YCaAVOcC5dM2pJdutxPfYtwaetow2Mh+luHh/cd2/fRT2vDlqGxYQ1bvGXgxqmrayPoSKIc89zdcHH2704Mp0tYVW7YsBWCa5iSjOvbuHELznoPhrxd0eEDnfyOHqaHPXBdD0zAXQg7V2wfqDkIS4aUgxvgQ51HpGZUWw1YDXNRhdRDIiO3AH42yqEQhlDNB6HTaF5ihNQPAkLkXQiBnM8isPU5FrbOJ+LvnF8MN1+JEwLcRgAIU9dEOdqnI9hFvscqRGjTwMhFOIv0m6atihjLEcGJMCxF8gH7JgsT+qkFELyz2FYugIZewq/fLNxage97AQmQz5BF6DXQIX+I5aZZAH8Kbbqupx4eKqeKVICy63NO3c9f/fX/E+f+/E//NSuHAtzH0zAEsJS4FFHHdOzY6fT008+zSihNj+7eBzKlKriHDb1bgYO3BKTzT3/wX6FX0pN5Dy96mtWRXo0XQmy3sDhLngsQo+ze/uasq66MhomguUBIaT1XRORdOJujx96HwDyZdu04ABfSlH7+i//AhN8ehr/niAW1d+4FVlnluFj6bYgA+/EYcQl3RyexRaisKkMM0IiIrzedOPURBoXrkOMOImI8SCiQDWHUt24d7RSyDkF75R9/GHlt127u2YBsuwWCefDQazyzthQZx9ncUp9ewoWSbVav9t5776TtW/eG6OC1N38IsdqG776deGF/FbdPLwErHQ3ideLkZbxaEFsL+bcKVv2QLWD13tHRlX74V69AIOu8NR8Z1vAPenr4Nd7CG/xqrYjzdYmjuA4bpnm4mCH1RhyrZ1FCoMnHlaGrwTkJ0jIpshLZK7eiOYf/dDpt0MNp6hERWIX+WS82si91uhNCz1TgOynAOVUwNy2EvpcvFGq1BAErrdB0RcI1GmKxEji5MnQ+peRv7ewN/bMZSpCKjIMKnBgbCaeyKLHQNeFdnTYoChTFNwZiT05QPXqAJtg2IOZT57QI9zRGWYFdGhfPo9cOjxe0cxbR3zTtdB5U9BcgKu9pf8STP/z5tB5YJlIq6ETZKev93nf+ReibXNno3qfAisDzmc8sEDiAErQTMJyH4qp6WPbxCdwStbYy0HDoKGqHgaWcWRmuxGhufgoQwkmIShPsPXGeWtpCpGjj5OBamzvwA/iNYMu3okiUw7gEYOMyaCC5KD0Sh8EbE/mHB9+Ci3s5uKdXf/kjCMvuWG2xlEp/+oN/BSGZBbxxbPm5tW2qQxn60cfvB/ciq/3ue7+O63J442OTOLEdABCyFkM4AQ/6BMtEjX5MtdVr8Ms1GrZTigH1bGEavjoRz1RSmhGonTseD2Ij4m9keJa/gxCpXRCorwFlPxYfi6FMjBpsMhijSJz/+Hf/BoLchxjyMoRpFK4Mf18Meu29lDc7kjMsWRT7gn7u/BO68xq+oEf90m/z1ZqqfJoavt8JFo0TTNamSghQAU7IlOlxS5lj9NxSCxFgjoCQlZai8wHdW2Dg+M1LEOaE/sllMamXMR/pVqiab7mEucUJX081GtyOIA2pg1hJUARhBIGBOJTwHakPZxpCxIaHc+Yl9VxRH8SxDG5KZ7elcEmNeLeowzxGoldSC6fFIrtAEMMQ6+NVpjBBuKDR8ZijchBIOaJJ5wiPNc0pLaU9fLcTgrGwY1pA9zXFQl/ObGwcMSEELX/b+TY65b75ufOv9s5ruLYzlsV9nlafNICbjabmNaBFRhA5fYg4qw7I9WkAFFdipXAJT+GK6Q4feT+I1UVEfIaxGMOVvQCLzs5OJtmz6dVf/hiuqo36zqZTZ45AkIZDFDeCp4gh/gRTFFBIDg0BC2VbQZ0OVgOBOTF77uDBN4GBH0Xs9kkMQj2I6wXdcPESwEKB2Cz63qJXSoHGe08N9/QlqJhAI2STTmXlSgRr6AS3v/80OjIRi53xURjS4+CH2nDV4wT259wb1ywhSphFLzWETms9ltxvcxvi26C7msPBpMpPk+LB7NnGePYe2rKUXn/j1SDMiifCywbnfvObV1NXdw+c3Sf4IfwELlBiLfhDzxeQct7EW2/9mnvPhkzerUpkiVgQqrjb3fpxGN1Out38t1P3vc17/7b8/m3ZNW/kBs28walrijQy+U9COPpYfP6PO3elb/X2pv/Uz7wB4Qo066rcitF0Yl2GblcOy7GuuN9vIluYMZVDoDynQ9bQK/FtKIHQ4HUKMIJ8mGVF2Pn96c5IAJVGwuqy1AlZvgwRXQkgJ3mYTBeFETDfcwExneHg/RONp3eIgLkjsamGcyvHl94C8HKdCMjpqYOaZo7QE4XtF+VsO+SiREC7gAffFXUpjlRKJJGaZOF7I5293fFZfWqeO09fzF3uvJ3X1mCrg6Bnzc8GRiPy2jGIwedJa5qqkeXeyJhspTYn5OKiauXkDfZ05ljOysTBOo8/vFhZ8cJrUJSu2CWtFNSLhU5lVyfDdugJ3eQgFbJq0vhY9yuZq/zsnOfbiNqrny51Tl14vdA34M1S5qUje1btyYS/m/zQ/DNa8XnsyExykMboMhm6Q9dMmCXzpwFwlqoq9dQB2ILU2iqoYiC7wG8Oolg+cR/tLA+i+6BN91Nb7oPu+MKb0MLi7ioLq++zWP2fHnk0tcHp/Ac4pv/urTdTE9fGuAYpiRSEh9lcFcG6ta1pDQbzNTizVk8lgEI7KDksv/sqFnTCsp38/RYEOUAHgwAIza4ifw2L5DrAFwYulM7pK7AAMQlP5BCnBYiP6gzPlzAJSTAVsyuaK6EOuZ4gdOTVDsr7ihCMUBsQnykWvZrJRCgRdE4SKHVOiiNDvAdRdGKTWGXECXQfKgQJlFB1VSfXE+kv/AXdxRt+Ud/aMicVwAk6+Lvf/fNQ5Msyi4hxNf/YIwcQk+2DWyLEBrqlHdv34H7jStqHqyDGAOKspxlANQAC+gKavW3rHgxmu8ITxYbe3alv4y5Y+zPYTu1D30KsJSCn6zp6U8faPgAbNQAqDoQV9SRwTVcrEpZ9+56D6zBaLnYFsM/GhdFmy6ReKF97bNmyI7ga9VW7dx+AW1kPaONo+ot/8d/ApYwHIOGJPS8w4ErTC899NwbcC899H9FeM+UuI9r8UzigDfytC/3XYwAw5NQefewA9lDEsGLgP/nkCzx3bTiHraluIhzHI3H7CWzG2nDJpMsluSlTd9eGsLsycNrTT38jPKTbj/ueeCHAIt94+U9o10SEBnnxeduxFo6ug2tr09de/D6Lg0HAHC/iYHJvEOMn0Ae2IyI8d+5U+OR64IEU0UsPfx78HnCK+t1UAQGZRSLThclGJcCI/+3I4fS/HzmSKvn+puUwVhWBRgTBUYRuOIsKuSk4IV2j+c27711KWfCpalLUJyeiMyUXrnp7UY8VOi3yhnshuBWJhu7I1A15D+2yFAPq507EcIj9IJYZXBzkHgRKHRhVxH54K0fyMst8NMfWqL/x3UFky7Gf0jFsGXUqRixBP6ZIsYRrTgpycRGZVySgfxIoYOfGxuI2+bS1qhd+33ZvPG4+rRfo2Ywe6lXCFEpCABG6LjKiraIvEXY6Yt2793mMV2vRU00wAb/I6qcbZ5G400fOKpHbtRPPvJQRSKBIy7R3734GBaul9rWxMmJYhYir3lVP7Rq4riEM9+S+MAzGN+A0KxPl0a6mTLn9kPYMe/Y8lbo7N8dg/ejwbyB03Wn3zv1B+N5++9VY+azv2ZgOoK8K0QHD+RyeLjZs2sSgnYVQnkaE+V6s3BRZGoreUCQiDd/EklvXTXIwawnI2NhQRx1LaStAivc/eC3Ebrbn+ee/znNrjDycfvTj/5t7N/OBlYVuTpuxAwe+zcppKr3y03+DR4q/Sn/0z//L+LD60a8ZdmSasAGiJ6uq2sK/YXfXxvTBh79OH3/yYdq0cWO4NzG+jP4PhcGeAa6uIbDpd/1xxemHPw9iD2Sf3UrLrz9euXKf7jnj/m6SU1If9Wp/f/yZox2AwWDopq5/SMRuzNzM6ywMB7GB8npKtc7mECO9R2R2U9gvUYe+/Yy5NFeup3Q8PkjY4LZMZYTP8FgHAHq1KS3N4jiZz+9TqUwVJixyTLpCmlnAbx96dA33a0HsVWNcHBTUJoRIUCShlFG7Jwke6ECJJ+JDxXzBYXFNEAZI9xARztGGhQVUDWXEncLx7Rzf7QxzY4H8As9CaHXjbvMRfk/S7XcARCorpCxVQ9w3X/+n9DR++zZveSz0Sc0tGMyxYhlGJ1WLgnGQ4IJr4ZJEuw0w8bYA7Z5fmAS1tykIihzUEAHL3n7nF/ECRdsMgZox2u1VPD34spq1P2BAHj32Tmpv7WGgpDQyNoix7lVWHxlgoaqqATuK7Rn6boZBBTpHf1nZn2yz8mtXU8S8oswuiNWjjzyDTumnASXXm0M3UPGD+O9bRIis1fZrr/80BkJ9fVus0jyQA6qv7wrO8NKlX1NnNTqojem1N16Bs/nntGkAf4QHIWQoUkn1yKkXMeAz6NiT+17gmUAEwbGZ7Mky2lNKhLPC7FL6wR//1+i0LoduLzLwMz2FE99nv4mvwl/AnT7BmaogUF6vJXJxc1MnhKoidIBa5f/mNz/3UhDgT+Oiip9A5P28P3ejjs977/ux3D3tj+u/1euP78cOuYU22WfTyOGqkR40sdDUceoQf1m6/iHz46ynz/VfQiQHSMLMbHVD5l8FC2UXmS5mRcJiBcV1gEWI19T3hGgOAqX4vgKOTbHgAuWgHAH7No8iQaUx9Yj7/L6EnVeyLi8DEOEdhakrohPUIUE0CX0XFGFZuS69XEjUBHpJtLSDWsB/n4a7LqbluHQwuwRhlN8TJDEFJxV1yNLdg3Q3xujdqOMePNpylcviPo3kNHjdu/ep8Ej8/vu/CU8NEqhTp46ldQQovII/LCNQ6tnh448PBpz8Qv/ZOO8qQxdFugoSaTM5CbuME8Tt259g8q2GU/k5Pv6c6BciqOAismBBCbPYFeiWqJlYTJbXz9Vl9EHaComEk6NSCergOnX6I1wb/Rou7SCix2H0T+cYrHM4ZBR2vg0OBdQhSMRf/uofIF5zIZ7bsf0RFKdTGPq+A6rHlc5cxIhy9baEDHr9+l7QdqfD/dFu7KM24LTyI+Jc1dbonqSM4Iiv8xyTyLEzcWMpq6xtwMoPH3k7BnMt6CRBGkMQK7krowefOPFhPP+OHbsZ+FPs4wVZER+Rffc88WT00fkLx0PMJwEUeNLZsZ7+3Bj30qt6DR/PieNHIFbAdOGsctdLy2/u4c4D1wNOBr8vCWFammDinmFyvpXpOQcHjU/wrQUhslyxx+Sq6DgJgXZSgokkFC4LPbckxwNx8FixXS6+i8i3gLHUMStOnIcIjaOy0N2R+uMwqLVsiPoQJUKI9CqjZwjBEHOI6xQsFtgqPsxEiHqTIIAhqoeIaaV4kbrUkc+od0J0KepwAsexk0DSJa73iD79vgylGAXLY+hG7nnutCf6tmxNJ4+vwMFvtz4d1roq0l5CNI/E0OSgVhQges7ghNoo5Olm8VQso1dyB/n1Sc4r13ldf00Fqh+Fni6El27Etur06TOIBg1GNhTZrdf25KFLvFfYQxQry+u4vm6PPy3GlCjDG7X3RvXck3O3uMy6xWz3pIkPXKW32Fm3mO2Be/ybNXj1N9PZuTYCkUYkcNxLyP1UBMHJxHrOVYr0XXhWck2TFc02NLTVFoofJrcMwCRq2H05GpP64uCGENdJ2FRVGOVBQibXJLdkErShV4ngyshnGYmOKhCJo5zUHN5mzK+JjihCQROTECpBUqIFH1gCdRuD7zayRr/e7s8yJyWnoDjJwFvPP/u94AyMGrm2rRdupibET7w2/GI1wmbPQhg6Ea/tx8BtBC5HDxWT3LuC/caY7F9++Y/hbnand3/7a/Q27elb3/gzQl30oGM5nv7ge38RA2MQ26QGrL+t10neQadi1MFag+NWAQcSn3AAywAIpSl58sHs5K03ZFdFhu9QpOc5uQ7b7MCU85ETWYC4Wd4/DYt14ihXVYUHDAepEHXboDNYB6vXLMfYjDoZ9azSsHznPkNDxriqidWSbfSD8b72nx+TSQIVMaYUFXBPxQi2W0SgbTOv+3KweYypOmLNZB8NHp95LpPtoNiXl77Me395T31v7/ywT2/av34jpgk4Ko12Q7fMN7/AdxRiM75DJ37DspszEHoQiyA8fPfOTUo2QvzGN5Z/e3JY2kaZ4luMPb4v8iAsCgmOTlqjHERMwINQcsEafqvqorSd1MltECrOK/UJhB+ESdMZddFyURrty20Vb1e801dncyvD91byfGaPFCsRkhIpVvO84A4M2tat60IftCFsearaG9BP7cb4tgP90zrcDbUDqz5Enl4IieHY8bsHYRvANmoCp7IffvhO+v/bu5oeS24q+noykwkI0HRIEKInQBQ2IBRmF0XKJutIrPgfSPwCfgc71vAf2MBqkLKJiGAVIZEBITQjEabV3TPTnGO/qlevXn26btmuqmOp+1X54/rec23fsn3L9f7PPnQeN3dwwsRPcSLFZ9gXevs7b2MpjCcoYLUW+zbnb3JAhnnCVPwaS3542B/UAAAOA0lEQVT1cImPkNHIcAbilc1pvB/sq3ndt1MgDPel/AOQl6w4rYGN/vllsSbuS15dYQ8J69Vsstf4pkwx46ERusJn5XnPcqRZpNF4MDCOMyaWo1FjJ2AjLgI9iorwXxhw0ilpgC5fNC6MEq/LNBR6DqcKtzhy679LVdSZtLF7sQuRsv2l1rtZ7c8RTbhuRqOx0VdRCsSKvoeOgWX/f6G/nO9enT/A8jdfksWSH4wVDccNxg0aMLqi8+/sJR9eMZ68wKiBpTk6WPDvBd4Mpncgve9uMbvinhFf5mXv53iCqZN7QOVeOVcQb19hiQ/5OSvyATlRJ42cM2A0XPxDWRoizqBoqJxHH2ZQT5+hDyOtusiZAsc+3U5JH9J8h+Tp5WFPpDRSHKAZ+PG/K3zb5Udwv+a7Uvfvn2EP6C/u+0z3cCoFXaHfeec9vAz7BZwnvus+u8Gjh76PF/b++kf//Sd++pnnZ53Bw4WbmAy//91vd5988gvQ/zGcDXCwo595Hw3SLmPxDwxS0X7tuYhs+d0L4wfzY3iqRqBoLNV8/npPd18n78pyRaFK1XySYigwqySdXJZ0kOI4q1RYTWPB4/tjOU4IZxLRAE8SzvrR6s+RhHGLSmdSQirEfD+gEdphrMAL/M8vsSf+Fvacv44+4l8Ihk3C+EJjwU+78+V7rsZgpYIGCEbmFfaq+eu8+2ik8AerhfKYPXE5EKs3NDa+rr1JYRoGJsLJjP6lXD+D4zjEmZxb8sPeFr2CaSz9Up9f4rsEn9VZWqHaVDgW9c/xG9TkggrBuQUC/JozAi6RXVz80LlUP/7zn/DZdHzLBTOcGxisi4sLOE98DuXR6JzhINjP8eXI95ziv3zyxe7dH7wLJ4UvnePCf9Co/vnkCU4Uf+ScDfjVXs7KeCYe63n8+A+7Dz74GHTuu0NU78BLp5yJuNYxB6Q50YwsZOTqckI6O16ki1EqoUGhceFSG08P51OeW/7DEjsuQIvzIe/GTuNChwnOdty3nfYGh0aIXxa/xmoHVzn8O1jeuLAMiXI/i8aFBscv771whs85S6AM4+k8QUcL50SB6yvM1rgk6I5Jw3tQnFFlZYxW1NYoCt8/c08Y3ITk00M9nOOYpKdP/fdPHl7AG+4ff8dSH6bEl14tRTrP0bqGO2Z9o//u3TMsDz4sP9dxfv4N1yi++gprvdhzURACeSHgukVeLOXGTUSI3CwI8tPgcMbE49Z4vBnPCL2HPWDaK/c6Cnji0h6ND90m3JmAXBZ02O1NCAc7Z9x41BKf0XEHAkx99RJpdJZAPW7mRMOH8ZBegXTc8g4T3svPHxrLvSgcpeSMnSOlfzMgcGhqe0vF93+oRFotKpsfH+NmJB0M6HzA0x7odMD9lDMcM0LPGu41VT3U6AzgZ0d+3ZjnbfnAKbnfuDzIcmDhEKerbSGgNmCv75VhCnFobrgHzMCXeB/gqDF+5p2vrnCfyb20C6NEg4P5FcYwOithpoQILgXS2LmZGNMZyYAfDHUwTJyJoSzHPca5MZDv8mL/i7MzfFGXMyp+3sd9Dh6zKBknD+Hc/49bMpToIqCo4umFDNB5gdNoxnlvtGsXRyVRqYXrOtN5z8DGwAZA5TOertQ0VizD/K4xNMzaXGH9WwwCxw1oMWxHZFQIWYLNsYR/hYF4DePMN3EEE8/re51f1MU4wwdrvyxIA0WL4x0ZirLOjLk49zju2CM9vjhMJ4li6ZBjlHthF3tRNzBSPIOPB9tyTFOIh4DvQepH9ogLU2Fqj4AoFgjQWOG6eChm9Os4V4/OFXwZmKdPeGcKrN4gL2dSxUM1n575AjBNlwt8mN4/cHvnCP+yMPfCuPd0g4dpno7uA2r1Fe/vaz/q9zVApt+uCtIlCTMPr7ZUbalNb6xroCBMbbXI2VERqgaLcTz70p/9h2OQuNzH1R0aKE6u9st5xXtUL+nWTmOE1R66kNNo0RGDOV04VFNG+YQc/tu2Kltq0/HJjZ9+iZbHcb9MqXMI09QaUP0GCHQZrBDy7BYMezPlbyr/H9ArGkt//4PVW2QXWgjTC2Gz0jI2eFlXUv0+HiR2NdtRspE+HT/parZBLl8qVaNVcMlZlPOkcL+4LiZKUINLc+aGudtME1f7vHNGkeceZnM3vjALKnQgENLavXdmB1ElpUegvbvE5s2OEztK1hiwG8UM+SIxFYXYSNb55fJf/c8ZFpwu4UIF+oONYWQloUbUD7I47w95PsZnen6CJUUaqLuVZcdaEd1WEGhHtpKpdrlpI5W6E9V0Mfg2RNGDiW804wHTw9VGoTATO1cki3lQiKAcML/F8zbx+8tHj3a/ev+RI3OOwwkU5kFg00Yq1040j6pFVQjYIbDUBzwiMKXf08fva3ihmOFvz57tPrr43u7nb35792+81PvAOWa4JP0zRODESC258RniYkpKmJrCaUpsibrJgeeugT4H/sY2kqE8U+7n+0Okf/Ppp7vP4KL+EJ8TYuD7n9UwlGa1jK5PESCOXe3ttIRihIAQEAIbRKAwOhwwuQf1ghtZNExwX38NJ1jwpAoFewRqRqp2a1/fBim2YNoSvUGA7EQWpnZYFpSEaYGE8/srPPvodP4GsLkDF/TTDw2xiIArgZt4kS2SszMWUkFImYkKmqX4WuToAieCjBGq6JKwOS1LpppZbYrNkv2SKV4ULuicNnmvPn5MMedJVMm+436GfyEVjCgzIqudcEkqtWM/S0rCNEu1iKlVIpBPb8uHk/kUfeI4MV9VB8qxnjqowK2EWJhuBc/tyLm+XmIvUZ1iPr0tH07m6zEmRqquwmB2zQh5DpasQA+FASAGJIL1mVHBAwyHq2D2DEgE121esNpLxgk2Lrc5460EqxK1ZhqVYE+xrXozTM0ItXEaL56i9GhgQJZ4/K6gpmY8D7GHqxUIG0mEZsyaYyOxtPhqckAvBx4sFXkqz2mMZX3roCWM1qHHzKVQM8tcQWJPCGSLgMlyX1zpOOAp2CIwN6Y9k3VbYURNCAiBQQjM3e8HMdGbSY+4vRApgxAQAkJACKRCIKOZ1DKseipFraFeaXgNWpQM+SOwrp7WY6RiCpvpkpA5BOYE8+8zew5LDW8XgsXoajWMhra10HKtwJkTbK2p1xeuo+SsSYEQ9BipcliZlfdtERem29K3pE2KQDbdLRtGkqojpHLaNqEXgpzKCIENIqABY4NKTyxyz0wqMXexqw+cjsZmc1H1CdNFqauPWT3R9iGkdIeAYb9vNlKGFUxTWWRGNtEDV4JpZDG623FWzHSz2pBacl9eNGRSVBgC2WAamRHDsZScG5IL06NKCYHhCKjJDsdKOYXA8hFonkklkyuytU8mZ8yK14Zp6meqteEZsy221SVM25AJj18PppQkda/v0EPm7HVwriQhIARCEVC/D0WuvdxyMV0u5+3aUIoQEAJCQAisAoGzneFyH+2dghBIjUBXO+xKS833UutfOaYrFy//Vne7owoyXu7LH0JxKASEgBAQAvMhMG4mpacKe00IU3tMJ1GUQibBZ114repYq1zW+ge9TiN1guOsc66T2iaLO5ri6AKTWVzGPDYFLgbQhpGYtZEfWNoUpgexR18FqGMR0AbINRw7ewRGUxxdoF06kpoVrvaqlSIEhIAQEAJCoBuBzplUd1GlCoEtIWD4aLgl2CSrEJiIwMxGasMdezbRZyM8sSlFKJ5U9JUuOMyC6SxEIzSwnKvYLqaUfJG9b7GMZ9wP8sM0P47Gqm/5EoyVeN78xJNhkYOWZz27/7m30WD+ggtmp6I8GBKe9noQpsLUHgFRjI1A2HIfen/KJxkOPmsLt2sUqlVJcYRN2UZbRc8lIVAFKTENZDkXxJv5SCxU4uqbManFhhmpkJZqiEZI9TW53W0rS60JTVSM4qyEMmKnk0wHPq1JRwlLErYTiXSJxPMI0worbfGVLNGeMofwUuWr49qq1bSy1JoAprrSOnjuTbISqrei5gyjqu/AoDWpNaGZn6ZYkhjF5zGRicWPienOISBM1RCEwPYQUL9v03nYTKqkNsG+lTSsLqjkNQRhugYtSoZYCKjf2yOdF6YTjZQ9POEUewb3vHAPFzNqSWEaFW5WpnY6EvKeNjqSmrITgR5MI7fRBRgpI0QquBtRjNOec2ZWmNq3gaViao6EfcO3p2gu9DIIRm6jw4xUj3Z7kicCX0FkIqWi+BiK88pWcHT6W9Y7htlTMtFixrBZyhaNO19RWe8YZiPzWJ1KjWGzlM2S31mIDmVwjPTDaNpTHFbvUa4eTHuSj0jlcDMG01DZWG5MPTngIh6EgBAQAkJgIwi0z6RCzd5GgJOYQiBLBNRv81OLdDJJJ5pJTYIvZmGpKibaqksICIE8EGifSYXwt7knhggCl1VoVTakSdbLnJV41lN0H4pAXExzUGAEHiJUEarvecq1C8yUSKNfxKrmQDFL9lMylbLuORScA01hmoMWjnjIUiUpmTKoeySJkdmP1Legm42IGVUjwjQq3KpMCGSBQPx+H7/GLIAWE0JACAgBIbAEBGz3pJYgsXgUAkJACAxAgE/wCukRkJHq1UEeTTUPLnrBGpghD2ny4GIgZMoWHYFIm/XR5UpXYViPy85IhYkxJ+x5NNUpXKTBdF9rY+VTpLHTdR5cjJGnEcwxBJR3Qwjk11rCehzlCCu5IWWnEnXxylm8AKk031GvMO0AR0lrREBNfo1alUxCQAgIgZUgkN1y3zhcaWNPQ3PsaT7FNCEwEL2B2ZpqUFwLAsK0BZh6dDNQzbH1srpvRqAZvebYZgpzxf4fzcoC+FFKBtQAAAAASUVORK5CYII=)\n", "Figure 3\n", "\n", "4. Record in the Table in the Student guide your measurement of the distance between Jupiter and the moon, where 𝜽 represents the angular radius, using the units, degrees, arc minutes, arc seconds, as given in Stellarium. The calculus is done with the following code.\n", "\n", "5. Record in the Table in the Student guide the distance from the Earth to Jupiter , 𝑑𝐽𝐸, in Astronomical Units and kilometers.\n", "\n", " **Note 1**: The distance Jupiter-Earth is available in Stellarium by clicking on Jupiter. This information is given in Astronomical Units (AU), as requested by this step.\n", "\n", " **Note 2**: Do not confuse 𝑑𝐽𝐸, with *d* in Stellarium , that represents the distance Jupiter-Sun.\n", "\n", " **Note 3**: You are also requested to provide the Earth-Jupiter distance in kilometres. For this you should apply the unit conversion AU to km.\n", "**An astronomical unit is the mean value of the Earth-Sun distance (\n", "149 584 372 km)**\n", "\n", " **Note 4**: As you may guess, the Earth-Jupiter distance is not a constant value along the year.\n", "\n", "The calculus is done with the following code.\n", "\n", "\n", "\n", "\n", "\n" ], "metadata": { "id": "URkPXIAnLtao" } }, { "cell_type": "code", "source": [ "def convert_angle_to_decimal(angle):\n", " degrees, minutes, seconds = angle.split(\":\")\n", " degrees = float(degrees)\n", " minutes = float(minutes)\n", " seconds = float(seconds)\n", "\n", " decimal_degrees = degrees + minutes/60 + seconds/3600\n", " return decimal_degrees\n", "\n", "# Enter the angle in degrees, minutes, and seconds\n", "angle_input = input(\"Enter the angle in degrees:minutes:seconds format (e.g., 0:4:20): \")\n", "\n", "# Convert the angle to decimal degrees\n", "result = convert_angle_to_decimal(angle_input)\n", "\n", "# Print the result\n", "print(\"The angle in decimal degrees is:\", result)\n" ], "metadata": { "id": "dAubpEnBgIqn", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "372ef4dc-96f7-44d2-ceb1-c486fbe79b51" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Enter the angle in degrees:minutes:seconds format (e.g., 0:4:20): 0:4:20\n", "The angle in decimal degrees is: 0.07222222222222222\n" ] } ] }, { "cell_type": "code", "source": [ "def au_to_km(distance_au):\n", " km_per_au = 149584372 # Number of kilometers in one astronomical unit\n", "\n", " distance_km = distance_au * km_per_au\n", " return distance_km\n", "\n", "# Prompt the user to enter the distance in astronomical units\n", "distance_au = float(input(\"Enter the distance Jupiter-Earth in astronomical units (AU) in the same date you measured the orbital period: \"))\n", "\n", "# Convert the distance to kilometers\n", "result = au_to_km(distance_au)\n", "\n", "# Print the result\n", "print(\"The distance in kilometers Earth-Jupiter is: {:.2e} km\".format(result))\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "u_cd4BdFgZqz", "outputId": "3e51488b-96e5-4363-e5bb-6123957b5cd4" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Enter the distance Jupiter-Earth in astronomical units (AU) in the same date you measured the orbital period: 5\n", "The distance in kilometers Earth-Jupiter is: 7.48e+08 km\n" ] } ] }, { "cell_type": "markdown", "source": [ "Now, write down your result in your Student guide !" ], "metadata": { "id": "jo2Bt4tw-jZ9" } }, { "cell_type": "markdown", "source": [], "metadata": { "id": "DQkqlVR8cmhj" } }, { "cell_type": "markdown", "source": [ "**Step 3**: **Apply your knowledge in trigonometry** to calculate the orbital radius (in km)\n", "\n", "1. Use the diagram shown in the Students guide to help you with your calculations, where 𝜽 represents the angular radius between Jupiter and the moon, 𝑑𝐽𝐸 ,the distance between Jupiter and the Earth and 𝑅 the orbital radius of the moon around Jupiter.\n", "\n", "2. Let’s calculate the **tangent of 𝜃.** Remember the trigonometric expression of the tangent of an angle, Use Stellarium values, where 𝜃 is the moon angular radius and 𝑑𝐽𝐸, the Earth-Jupiter distance.\n", "\n", "\\begin{equation}\n", " tan 𝜃=\\frac{R}{d_{JE}}\n", "\\end{equation}\n", "\n", "* For very small angles, 𝜃 ~0, as it is the case for the angular radius moon-Jupiter, we could use the approximations that the value of the tangent of an angle is comparable with the sinus of the angle or even the value of the angle itself.\n", "\n", "\\begin{equation}\n", " tan 𝜃 ≈ sin 𝜃 ≈ 𝜃\n", "\\end{equation}\n", "\n", "\n", "3. Use the Equation to calculate the radius of the orbit of the moon, 𝑹, (in kilometers and meters) and fill in Table in the student guide.\n", "\n", "\n", "\\begin{equation}\n", " R= d_{JE}* tan 𝜃\n", "\\end{equation}\n", "\n", "\n", "\n", "\\begin{equation}\n", " R = d_{JE}* 𝜃\n", "\\end{equation}" ], "metadata": { "id": "xetWuNZXhvFl" } }, { "cell_type": "code", "source": [ "import math\n", "\n", "def calculate_radius(distance_sci, angle_degrees):\n", " distance_km = float(distance_sci) # Convert distance from scientific notation to float\n", " radius_km = distance_km * angle_degrees * (2 * math.pi) / 360\n", " radius_m = radius_km * 1000 # Conversion from kilometers to meters\n", " return radius_km, radius_m\n", "\n", "# Enter the distance in scientific notation and the angle in degrees\n", "distance_sci = input(\"Enter the Jupiter-Earth distance in km scientific notation (e.g., 2.5e6): \")\n", "angle_degrees = float(input(\"Enter the orbital angle in degrees: \"))\n", "\n", "# Calculate the radius in kilometers and meters\n", "result_km, result_m = calculate_radius(distance_sci, angle_degrees)\n", "\n", "# Print the result in scientific notation\n", "print(\"The radius of the orbit of your moon is: {:.2e} km\".format(result_km))\n", "print(\"The radius of the orbit of your moon is: {:.2e} m\".format(result_m))\n", "\n" ], "metadata": { "id": "ZEy4TBAmjia9" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Step 4: Calculate the linear velocity of your moon**\n", "\n", "1. From the radius of the orbit you can calculate the velocity of the moon using the equation\n", "\n", "\\begin{equation}\n", " v = ω*R=\\frac{2πR}{T}\n", "\\end{equation}\n", "\n", "where, 𝑣, is the linear velocity, 𝜔, is the angular velocity, 𝑇, is the period of the moon (in seconds) and 𝑅, is the orbital radius of your moon (in metres).\n", "\n", "Complete Table in the student guide with the lineal velocity value." ], "metadata": { "id": "--fL_rFye3Yi" } }, { "cell_type": "code", "source": [ "import math\n", "\n", "def convert_period_to_seconds(period):\n", " days, hours, minutes, seconds = map(int, period.split(\":\"))\n", " total_seconds = (days * 24 * 60 * 60) + (hours * 60 * 60) + (minutes * 60) + seconds\n", " return total_seconds\n", "\n", "def calculate_velocity(radius, period_seconds):\n", " velocity = (2 * math.pi * radius) / period_seconds\n", " return velocity\n", "\n", "# Enter the period in days, hours, minutes, and seconds\n", "period_input = input(\"Enter the period in days:hours:minutes:seconds format (e.g., 2:12:30:45): \")\n", "\n", "# Convert the period to total seconds\n", "period_seconds = convert_period_to_seconds(period_input)\n", "\n", "print(\"The period in seconds is:\", period_seconds, \"seconds\")\n", "\n", "# Prompt the user to enter the radius in meters\n", "radius_sci = float(input(\"Enter the radius in m/s scientific notation (e.g., 2.5e6): \"))\n", "\n", "# Calculate the velocity\n", "result = calculate_velocity(radius_sci, period_seconds)\n", "\n", "# Print the result\n", "print(\"The linear velocity of your chosen moon is: {:.2e} m/s\".format(result))\n", "\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "RcgZw02fkKMS", "outputId": "4f7bf779-a6f3-4d1d-cd15-3cafcd7f8f32" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Enter the period in days:hours:minutes:seconds format (e.g., 2:12:30:45): 3:12:20:0\n", "The period in seconds is: 303600 seconds\n", "Enter the radius in m/s scientific notation (e.g., 2.5e6): 6.7e8\n", "The velocity is: 1.39e+04 m/s\n" ] } ] }, { "cell_type": "markdown", "source": [ "## **Activity 3.2 : Calculate the mass of Jupiter**" ], "metadata": { "id": "MwQpL65cLtdy" } }, { "cell_type": "markdown", "source": [ "The mass of Jupiter can be derived from the equation you already learnt:\n", "\n", "\\begin{equation}\n", " \\frac{GM}{4π^2}=\\frac{R^3}{T^2} \\xrightarrow{} \\boxed{M_{Jup.}=\\frac{4π^2R^3}{GT^2}}~~~(1)\n", "\\end{equation}\n", "\n", "using r and T that you previously obtained. \n", "\n", "**Note**: Be careful with the units!" ], "metadata": { "id": "Wsxmg6i8LthK" } }, { "cell_type": "markdown", "source": [ "With the following code and introducing the values you got, you are going to obtain the Mass of Jupiter" ], "metadata": { "id": "ViQy9jVi8wLe" } }, { "cell_type": "code", "source": [ "import math\n", "\n", "def calcular_mass_jupiter(radio, periodo):\n", " # Fórmula de la masa de Jupiter: M = (4π^2 * R^3) / (G * T^2)\n", " G = 6.67430e-11 # Constante de gravitación universal en m^3/(kg*s^2)\n", " masa = (4 * math.pi**2 * radio**3) / (G * periodo**2)\n", " return masa\n", "\n", "# Enter radius and period\n", "radius_jupiter = float(input(\"Enter the radius of the orbit of the moon (metres): \"))\n", "period_jupiter = float(input(\"Enter the period of the moon (seconds): \"))\n", "\n", "# Calculate the mass of the planet\n", "mass_jupiter = calcular_mass_jupiter(radius_jupiter, period_jupiter)\n", "\n", "# Print te result\n", "print(\"The mass of Jupiter is {:.2e} kg.\".format(mass_jupiter))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "q2jf1rKr8r4I", "outputId": "633cf592-eaf3-4ed0-c0be-56fe1405c21d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Enter the radius of the orbit of the moon (metres): 100\n", "Enter the period of the moon (seconds): 100\n", "The mass of the planet is: 59149899771298.016 kg.\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Compare your conclusions with your hypothesis:**" ], "metadata": { "id": "g-6IqIVmDre8" } }, { "cell_type": "code", "source": [ "#@title\n", "def create_question(question, choices, answer):\n", " display(Markdown(f\"**{question}**\"))\n", "\n", " radio_buttons = widgets.RadioButtons(options=choices, description='Options')\n", " button = widgets.Button(description=\"Submit\")\n", " feedback = widgets.HTML()\n", "\n", " def check_answer(button):\n", " selected_choice = radio_buttons.value\n", "\n", " if selected_choice == answer:\n", " feedback.value = '✔ Great answer!'\n", " else:\n", " feedback.value = '✘ Wrong answer.'\n", "\n", " button.on_click(check_answer)\n", "\n", " display(radio_buttons)\n", " display(button)\n", " display(feedback)\n", "\n", "# Questions\n", "create_question(\"What is the mass of Jupiter? (Note: SS stands for Solar System.)\",\n", " [\"Twice the mass of the Earth\", \"2.5 times the other SS planets\", \"1% times the mass of the Sun\"],\n", " \"2.5 times the other SS planets\")" ], "metadata": { "id": "edwsLenHD8Ua", "colab": { "base_uri": "https://localhost:8080/", "height": 204, "referenced_widgets": [ "aa35eaa7ea20493fb7ab86cb89221dea", "a57c9110c38443699177e289edea50ba", "217c71a5ce984a13bc29efb43cd40f0d", "d4e505cfd0ec4c0c9f87875a4c2d89f2", "251137eddae049e0a2f77d0e1ad83b81", "730e16923c0046c9910e88faf3ff73ea", "53c9df42565f41e187a56f95bf3555d8", "1e3d8a27a9114bf7b7b20985b92f1c89", "165a3b8256bc4ed692b5b88d5d580c2a" ] }, "outputId": "965528a6-50c4-4cff-852c-c341667c7c1d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/markdown": "**What is the mass of Jupiter? (Note: SS stands for Solar System.)**" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "RadioButtons(description='Options', options=('Twice the mass of the Earth', '2.5 times the other SS planets', …" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "aa35eaa7ea20493fb7ab86cb89221dea" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "Button(description='Submit', style=ButtonStyle())" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "d4e505cfd0ec4c0c9f87875a4c2d89f2" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "HTML(value='')" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "53c9df42565f41e187a56f95bf3555d8" } }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "#@title\n", "def create_question(question, choices, answer):\n", " display(Markdown(f\"**{question}**\"))\n", "\n", " radio_buttons = widgets.RadioButtons(options=choices, description='Options')\n", " button = widgets.Button(description=\"Submit\")\n", " feedback = widgets.HTML()\n", "\n", " def check_answer(button):\n", " selected_choice = radio_buttons.value\n", "\n", " if selected_choice == answer:\n", " feedback.value = '✔ Great answer!'\n", " else:\n", " feedback.value = '✘ Wrong answer.'\n", "\n", " button.on_click(check_answer)\n", "\n", " display(radio_buttons)\n", " display(button)\n", " display(feedback)\n", "\n", "# Questions\n", "create_question(\"How do you calculate the mass of Jupiter?\" ,\n", " [\"By weighting it\", \"With the orbital moon movement\", \"Using parallax\"],\n", " \"With the orbital moon movement\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 176, "referenced_widgets": [ "a4722ab15fae4efdacf13901d5590b78", "c64f6f5d68df42a9af200253454ce31b", "96c13b86c4c04cd0ba934f7e872fd0f1", "6a35fa4f467745ffad05b41199c2172d", "5d5daf30d93944d08d22d27db6f4af5e", "918a86249ca8413c86eb2a7abf342b09", "f94b8098ee1e45d3b9092fd51b400c73", "ec27c3098b6447e2a653299a96fe784e", "a9d97827e2714924aa5d5415deddc49e" ] }, "id": "hXTj32KxEZzr", "outputId": "67a8acf9-71fc-4c95-cf01-586451753151" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/markdown": "**How do you calculate the mass of Jupiter?**" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "RadioButtons(description='Options', options=('By weighting it', 'With the orbital moon movement', 'Using paral…" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "a4722ab15fae4efdacf13901d5590b78" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "Button(description='Submit', style=ButtonStyle())" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "6a35fa4f467745ffad05b41199c2172d" } }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "HTML(value='')" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "f94b8098ee1e45d3b9092fd51b400c73" } }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Now, you can check your value using Cosmographia, as if you were an expert: [COSMOGRAPHIA](https://cesar.esa.int/upload/202307/student_p3e.ipynb)\n", "\n", "Also you can plan an observation of Jupiter with Stellarium\n", "\n", "Otherwise, you can go directly to calculate the errors when calculating the mass: [Activity 3.3](https://cesar.esa.int/upload/202307/student_p3_3.ipynb)" ], "metadata": { "id": "76jsfm6lLtkB" } } ] }