diff --git a/docs/notebooks_action_needed/mid_circuit_measurements/README.md b/docs/notebooks_action_needed/mid_circuit_measurements/README.md new file mode 100644 index 0000000..0a3a780 --- /dev/null +++ b/docs/notebooks_action_needed/mid_circuit_measurements/README.md @@ -0,0 +1,10 @@ +# Mid-circuit Measurements tools + +To improve initialization and readout fidelity, we can employ the MCMs. In particular, we will implement the +post-selection (PS) and the maximum likelihood 3 readout (ML3). +The ML3 RO measurement procedure is implemented at the measurement step. Instead of reading out the state only +once (ML1), we perform three measurements back to back. Depending on the 3 measurement outcomes, we assign the +qubit's state. It allows us to gain additional information about the qubit state over an extended duration by +tracking the trajectory of the state over the three measurements. +Post-selection is implemented by doing a qubit measurement right after the initialization. If the qubit is not +in the desired state, we disregard the job. diff --git a/docs/notebooks_action_needed/mid_circuit_measurements/mid_circuit_measurements_tools.ipynb b/docs/notebooks_action_needed/mid_circuit_measurements/mid_circuit_measurements_tools.ipynb new file mode 100644 index 0000000..84f5701 --- /dev/null +++ b/docs/notebooks_action_needed/mid_circuit_measurements/mid_circuit_measurements_tools.ipynb @@ -0,0 +1,640 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ce04e329", + "metadata": {}, + "source": [ + "# Mid-circuit measurements tools (MCMs)" + ] + }, + { + "attachments": { + "Fig.%201.jpeg": { + "image/jpeg": 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AdfbVt7YJXdUDwBQA/UIW4tLbaTUpRklKSLczM+wiFhw4aIgb8tS/uvtq29sEruqB4AdfbVt7YJXdUDwBXsfA+XpTCJDVjy+BxJKTxvsIVsfrSpZGX5yHs+QDMP4jyP6XH8QVb2xshPDuKX64fMslsjar5q3qfol8ifdfbVt7YJXdUDwA6+2rb2wSu6oHgCA/IBmH8R5H9Lj+IOFWMMZRoNOeq1Vs2WzEjp43XEutOcCfSZkhZnt9ew2htbZNSShCvTbfRKcc+ZiWytpwi5SoVEl2uEvkWX19tW3tgld1QPADr7atvbBK7qgeAKAAWfDhoit35al/9fbVt7YJXdUDwA6+2rb2wSu6oHgCqbZxbkG8YJ1O2rXlTYhKNHTEtttBqLtIjWpO/wCbcdx8gGYfxHkf0uP4grqu09l0JunVrU4yXVOUU14pssKezNpVoKpTo1HF9Goyafg0ifdfbVt7YJXdUDwA6+2rb2wSu6oHgCA/IBmH8R5H9Lj+IPw8A5hIjP8AcPJ5eqVHP/zB5/XGx/5il+uHzN/qjav8vU/RL5E/6+2rb2wSu6oHgB19tW3tgld1QPAFEVGnT6ROfplTiOxZcZZtusup4VIV6jIccWcYU5pSik0yuk5wbjLKaL/6+2rb2wSu6oHgB19tW3tgld1QPAFAANuHDRGu/LUv/r7atvbBK7qgeAHX21be2CV3VA8AUW3SKk9CVUm4ilRkb8Tm5bFt2+nccQOFDRGd+Wpf/X21be2CV3VA8AOvtq29sEruqB4AoAA4cNEY35al/wDX21be2CV3VA8AOvtq29sEruqB4AoAA4cNEN+Wpf8A19tW3tgld1QPADr7atvbBK7qgeAKAAOHDRDflqX/ANfbVt7YJXdUDwA6+2rb2wSu6oHgCgADhw0Q35al/wDX21be2CV3VA8AOvtq29sEruqB4AoAA4cNEN+Wpf8A19tW3tgld1QPADr7atvbBK7qgeAKDZacfdQwyg1LcMkpSXpMe6fTZ1McS1PjKZWtPEkjMj3L8wcKGiM78tS9uvtq29sEruqB4AdfbVt7YJXdUDwBQABw4aIxvy1L/wCvtq29sEruqB4AdfbVt7YJXdUDwBQA7+1rCvG9lPJtW35NR8n26VSDSlCN+wjUsyTv9W+48q0re2g6tZxjFdW8Je1nrRhXuJqnRTlJ9iy37EXB19tW3tgld1QPADr7atvbBK7qgeAID8gGYfxHkf0uP4gfIBmH8R5H9Lj+IK/642P/ADFL9cPmTvqjav8AL1P0S+RPuvtq29sEruqB4AdfbVt7YJXdUDwBAfkAzD+I8j+lx/EERuG2q9alRVSLjpT8CYlJLNp0i3NJ9hkZbkZfWRmPe3vtn3c+Hb1YTlpGUW/YmeNexvrWO/XpTgtZRkl7Wi7Ovtq29sEruqB4AdfbVt7YJXdUDwBQACdw4aIhb8tS/wDr7atvbBK7qgeAHX21be2CV3VA8AUAOXCpNRqSHHIMVTyWvvzIyLb9JhwoaIzvy1L06+2rb2wSu6oHgB19tW3tgld1QPAFAGRkZkfaQBw4aIxvy1L/AOvtq29sEruqB4AdfbVt7YJXdUDwBQABw4aIb8tS/wDr7atvbBK7qgeAHX21be2CV3VA8AVlTMOZOrMFqpU6z5bkZ9JLbWpxpviSfYey1Ee35hyvkJy3+JUj+lR/EEhbOrSWVRf6X8iO7+jF4dVfqXzLD6+2rb2wSu6oHgB19tW3tgld1QPAFefITlv8SpH9Kj+IPVKwllWHHclSLLlk20k1KNDzKzIi/wA1KzM/zEMvZ1Zc3Rf6X8gr+g+lVfqXzLI6+2rb2wSu6oHgB19tW3tgld1QPAFAGRkZkZbGXIyARuHDREjflqX/ANfbVt7YJXdUDwA6+2rb2wSu6oHgCgADhw0Q35al/wDX21be2CV3VA8AOvtq29sEruqB4AoyTSKlEitzZMRTbDu3AszLY9/zjhhw4aIzvy1L/wCvtq29sEruqB4AdfbVt7YJXdUDwBQABw4aIxvy1L/6+2rb2wSu6oHgB19tW3tgld1QPAFKW5a9w3dUSpVtUl+oSzSa+jaIuSS7TMzMiIvrMxLfkAzD+I8j+lx/EEG4vtnWk+HcVYQlpKUU/Y2TaFjf3UOJQpTlHWMZNe1In3X21be2CV3VA8AOvtq29sEruqB4AgPyAZh/EeR/S4/iB8gGYfxHkf0uP4g8PrjY/wDMUv1w+Z7fVG1f5ep+iXyJ919tW3tgld1QPADr7atvbBK7qgeAKlunG19WVHal3RbcmAw8rgQ6pSFoNXq4kKMiP6jEaE+hUtrqHEoOMo6rDXtRCr0ri2nw68ZRlo00/Yy/+vtq29sEruqB4AdfbVt7YJXdUDwBQTTTj7iGWW1LccUSUJSW5qM+wiL0mJ4zgXL77SHm7HlcKyJRcUhhB7fWSlkZfnIeVzdWVlj6TOEM9N5pZ8M4PS3tby8z9HhKeOu6m8eOMlg9fbVt7YJXdUDwA6+2rb2wSu6oHgCA/IBmH8R5H9Lj+IHyAZh/EeR/S4/iCL9cbH/mKX64fMk/VG1f5ep+iXyJ919tW3tgld1QPADr7atvbBK7qgeAKyreHMnW7TnavWbPlsQ2C4nXUuNOkgvWZIUZkX17bCGibbV7S8jv20ozWsWmvcRLihdWkty4jKD0kmn7y/8Ar7atvbBK7qgeAHX21be2CV3VA8AUAJXbeKciXdTyqtu2rKmQzUaUvcbbaVGXbwmtSd/zDNxVtbSHEuJRhHWTSXtZihRubqfDoRlKWkU2/Yi1Ovtq29sEruqB4AdfbVt7YJXdUDwBAfkAzD+I8j+lx/ED5AMw/iPI/pcfxBB+uNj/AMxS/XD5kz6o2r/L1P0S+RPuvtq29sEruqB4AdfbVt7YJXdUDwBADwDmFJGZ2PJPbnylRzP9BOCDToMymTHqfUIrsaTHWbbrTqTSpCi7SMjEm2u7G9bVtUhNrruuLx7Mke4s720SdxTnBPpvJrPtSL46+2rb2wSu6oHgD6kaTb2ujI2nizL1vOqqqVaqkV9yXKU0hs3VJkuoI+FBJSXmpSXIi7B8OB9q9C/96hj3+JSf2t4bXUIxgsI86Em5c2XwAAIJKAAAAiuVvwXXj/IFQ/Z1j4DD785W/BdeP8gVD9nWPgMJ1n0ZFuOqA98CDIqc+NTYaCW/LeQw0kzIiNalERFufIuZkJva9u2bBsOVft6RJ9RQuoFTIUKHIJgzWSONbil7HyItiIh2lxWxbdsZHstNrNS2odSKnT+CU70i0qcdSZluRELGnBOpGEu1pe3n5ERy5NrRv2PHmQS6LXqln1ZyiVlUTytnk6mPJQ+SFb7GlRoMyJRbcy7R1zsKawymQ9DfbaX964ptRJV+QzLYxYVZp0SragpVLntdJGl3MbLqP8ZCn9jIWdJarU5+9bfvy4G3G3oU12mUBKEr8kZZMzad5cmfNItiLmZHzHjF/wCjxXo37Fk2bxU3PBe14KHoVk1y5KVUaxSfI3GqU0t+S2uW2h4m0kRqWlsz4lEW5cyLtHQiwMPHuV4Gfadqzf8Aa2K+LsL8g3msSSWifva+BiLyn4/BfM/QABgyB3EigeT2rCuU5O5zJjsUmeH70kJI+Lff079mw6cWJRadHrFq2ZSZRbszblXHcLfbdK1NJPn6ORiBfXLtlCeeW9z8N2T+BOsbdXLnDHPHLx3or4kBVEktspkuxnkMK22dNs+E/wAh9hjtLst0rbqbUVmWcqLKiszIz5o4DcbcTvzLc9jJXEXb6BcdLuSo3Rkq6MeVV1LluFGqMaLANCeiipjtrNpSCIuRlwdpesxWlS2reMaVVn18MmizV0wuL/jWXE9Igk+vhMlfmUK222rWrVoKrHdXo5SeViom4vOE8pxcWunPPhZXGy6NGjN0pbz9LDaxzptKSxlrDUlJPryx4w0ADcvWOhOfABuXrAATTHhklqoKUZERJSZmf5xDnjI3nDLsNav9o9rM+VHivRGXDQ2/t0m3aoi9H5BxwM5ABuXrDcvWBg9sUiOS0RluRrT/ALRYmoOXL+VyuwEyHSYhqYYjNEoyS030LZklJegtzPl9YruKZeVM8/8AjE/7RfdVpdLqWqqsu1rojiU5f2wWh1REhw2oiFpQrftIzIhzu07mNnfRuJrKhRqyx4SpdO/sOg2bbyu7KVvB4c6tJZ8Y1evmQ6BimPSKUzW8oXqi2WZKCcjw0oVImuJPsUbKTI0lz9PP6hyGMVW9dxGxi3JBVmoII1HT5zCoTrhF29HxHsr/AFCv7lr9UvO5ZdcqLxvy6g/5u57bJM9kIL1ERbELPfqlEwVRjptvyotTvmoNF5XUGzJxqmtmW/RtH2Gv1n//AIIV4tpUIw3azdxPpBRjw10zvZjvbse2W8m+WFl4Jlo9nVpT3qKVvDrNylxHpu4lu70uyO60u14WTn3HZdr4znWimh3FMeuldXitVJry1K/JdzSak7IL077czPkK4y602zlK62mUJQhNVkElKS2Ii4hNb8lU+47mx3fsboEza8cc6kltRb+UNPoQajSXYZlz/QIZmIy+Va7ef/xaR/3hrsBVXXpzuJOVR057zeqqJNeCeVHu8TfbzpKjUhQio01OG6lo6bafi1hy7/Ah4BuXrDcvWOxOQAm9xKSVlQEmotz6PYvWIQORLnyppNIkOmpLCCQ2n0JIgMo44AG5esDAFkYUdciv3lUIyzbkw7SqD8d1PJTThcGykn6D5nzFb7l6xYuHP3q+/wCZtS/8sVG3VnZ9RPu/uRa7EbV/Ta7/ACZF7Utu5r4rTdFoKHpEp7da1KcMkNp/hLWo+SUl6TMThViYtpD32ruXMbpVJJmhwqfT3JEdtX/W7luW/byIemmVRNo4OkSqTJQ1VboqioMhaFl0qYbSCUZF6SJSjMj/ADCO43s2n3ZVJDtcqzNNotIZKXUXlKIlm1vtwNl2moz5Ft2CBcVqtwq1eVV0qNNuK3UnKTXJv0oy/F6MYpZeOvPBPt6NKg6NCNJVa1RKT3m1GKfNLk4/h9KUm8LTlksa2cC052eVcuC940iyjZ401eHMS2RucRJJtRL34Vb8vT+XfkOsoJwmqNl2iUqQ89SIcAjiIdd6Qt0SSQThH2bmRHzL0GO8tTJdLvW6XsdFT41OsiXTX4MKEskp6NaUmpDylH/xhqT2/WIXjRs2bOye0oyM0UFtJmR7ke0hIpI/T5xqvaEnvJ0XGPLCi6qw3jlv8mpY5LlguZ/QYOktnxW61WUpc8uSpvKWee5zTjnm+eStxL8PtNP5StVl5tK0LqjBKSotyMuIRDcvWJlhoy+Ve0+f/wAVY/7w7HarxYV3/RL+1nI7LWb6gn/HH+5HCux6tVy/qvHbdlzJkmqvstISpSlrV0qkpSRen0EJi5iy27VYQWT8loo9Qd22p8BlU15r/reE/NPl9Y5tivxKFdOR75cNny2gIlqpxOmnlIdkKQSyI+ZqT2lt9YrCmQKnd9xMwikoXOqkkiW/IcJKeNZ+ctaj9HaZiohOtc5o06nCpUox3pJLLbipYW8mklHGXht5xywWso0rfFapDi1aspbqbeElJrL3Wm23nCyksZ55LLp2Fo13vtSMaXy3cMNDiSmMu7w5TDZnzVwLPYyIvT/qEuoFv2ZaGbbTt6x6/IqkWaxKbqa3JRPJWro3CNpRJIi2LhI9hHZuRKNhvya0sYusy5TD6HK1WVIJXlakn5zTfqbLmO1o1Oo8HVHR36D0BQqiXl6EsrJSUqdiLUouXZ5xnyHN3c7+vSrO4nLgulVdPKScsRxmokkk+acOSeOqydHawsaFSireEeMqtJTw21HMs4g222uTU+bWejwUJKIkyXiIuROKL/WPUPbLMvKnuf8Axiv9o9W5esfSY/ZR86l1ZZ2XZMiPb2PIEd9xuN+5ePI6JCjJPSqWviXsXpPYtz+ocS1MXTanRUXbd9zMW1QHNzakSVmp6SRdvQtb7r/LyId7etLYrdVxHR5ThIYm0CmsOr3IuFCn1Eo9z5ciMxGs1XM7cV/1FhtbaadR3VU6nsM7dEyy2fD5m3LYzIz/AEDkdn1K9ajSsrZ7je/KUsJtLfawk+W9Jvq8pJPk3g6u/p0KVareXK30tyMY5aTe4nltc91JdFhttc0ju42PMdXKsqbZGXHJFVcPhYj1OA5EQ8r0JJZmfP1FsO0ubFlBx7jqRU7mrUli90JQ4zTkVBCkoSbpJJwiSW5ltufb6NvQOFa7Ns4ktyLfNYVFq111FvpKPTyUS24KT7Hndty4/SRegeq/6+nIeKKPeVYfjuXHTqk5S5ThGSXHY5oNaDNPaex8iP8AKIjnfVLylCnWk7biKLk1FSlJZ5LdUU6ba3W8Zz0eCYoWVOzqTqUoq53G1FOTjGLxzeXLFRJ7yWcY6rJwc9qN26KJLc856VbdNfeWfa44ps91GfpM/WK1Fk53/ugt3+a1L/qzFbbl6x0ewPuyj+U53bv3lWfeADcvWAuCoJvTFJTj6XxGRb9IRb+vcQgchc+UuG3TzdMmGlGokF2GZ+k/WOOBlsAG5esNy9YGAO2t+hHXVz0+U9CUGA/OM+Hfi6NO/D+c9i3HU7kJZj77+4f5Anf1YiX1SVG3lOD5r5kqypxrV4wn0ZGGIsqUSjjRXnuDmro0Grh/Lt2DtitxDlnHdMeaa3I8/wAjlRjb26IlJ3bWSt+fFsotti22E5cuqsY9sGyVWpKOA5WClVCoLbJJqkqQ90aEKMy34SSR8uzmO3r1Np6skXFabDSI8S5qMiYZILZEeQlnygl7dhERksv/ALhTVdsVt7O7uwTk085bjTmozyscurlHDfT1FxT2RS3Mb2ZNRTWMJSqQcoYeefTEspdfWUoAGWxmXqDcvWOkOdABuXrDcvWAObRP/bEL/r0f7R3+RVJOqxiIyMyY5l6vOMReNIciyG5LW3G0olp3LluQ/ZMmRMfXJlOqccWe6lK9IGc8sHqAA3L1gYAsqoyZEPT/AEBEV5bKZdwzSfJB7dKSW08PFt27egVruXrFjVojVgG1yRzM7iqG35ejSKjaqTqWyf8A3F/ZMttmNqFy1/23/fA6+x8cV+84z9ZdqrFIocNXBJqc580NJVtvwp9K1begvz7Dvk2XiGa4dPpmaZRTTPgQqVSnGo6ldnNzi2IjP08x4ZvqbdOfo2OKPIT9qbfgMHwtqI0vSHEEtbqtuRq87b9PrMenHdvWjRKKrJd+vsSosd026bR0rI3Jr6fSsvQ2R+vtFPUuLmvaraEqsoKf+3CEYtvP2c70ZZclzf2VFdejZb07e3oXP0CNKM3D/cnOUklj7WN2UcJPkvtOT6dUiVxMH0m07aqtZyhW1RpiG3l0hqNUUdHP4WzURlyNR7nty5chE79kPVDEmOajMcU9JX9tGTdcPiWbaH0khJn6klyISGXfT2XMc3Yi61REz6E61UaUSdm+ibUokKaT6yIvR+QRq8jL5GMb/wDWVj9oSIez/pruaUtoSzVVbDS+ylwJtbvc01n+pPswS792atqkdnxxSdHKb+03xoJ73emnj+lrtbK5ANy9Ybl6x3Zw4E1sAyTAqalGREWxmZ+jzTEKHIanymIjsJl00tPqJThF/C29H5AMp4PS5zcUZesx4gG5esDAHvp5EqoRUqLcjfbIy/8AuIejcvWORTjL7YxOf/KG/wDvEMx6ow+hNs5S5R5Ur8c5LvRRn0sso4z2bQTadkkXoIQ1MOsLhnUEx5hxS7XiSrgLnt992dolucfwtXN/HC/q0iY6erlTUlVHFFbadkUutsOqaSktyZXw7q3/AMUjIt9/8Yi9YspUY3N/OlKWMykl455FeqrtrKFWMc4jHPhhZKjbgVt6EupNRJq4je/G+SVG2nbt3V2DtLBqE6JfFAdjTHm1HUozZmlZ80qdSSi/IZGZC1c71BNi2tQ8Q0JTiYjbBSJb23Cb58R7F9e6tzP8xCorJ/u0t/8AlWJ/XJHnWoK0uY0lLLWM+Oi8DejWd1byqNYTzjw1ficzJzLUfItzMMNpQ23VZSUpSWxEROK5EIyJTlQy+Uq6ef8A8Xlf1qhFty9YjXP+9PxfmSLf/Zh4LyAH2BuXrAeJ7E3utSStKmpNRbnwGRek/NEIHImT5U42zkumomkEhCfQki9Q44GXzABuXrDcvWBgsmypD8HDWQJsN1TEjymlMdKg9ldGt1RLTv6jLtEVs+1bmvmsIotvocdeNJrccW4aW2UF2rWrsSkhJrU/AhkD+PUf+uWOS1VU2ngxpqlSG26jddTeZnKQsulKK0RcKeXMkmZnuOXdepQqXMbdJ1J1lFN9F/pU3l6pJN47Xy5ZOmVCnXhbuu3w4UnJpdX/AKs1haNtpZ7Fz54PeqxcU010qZXMzPfbEt0OeQ05x6M2vcy/feIty5eohIbWwJTDmqrl1XrHds420qYq0OaltLrhq4SbMlbmSt+R/wC0V1jazaVc82XUrkqzVOoNFbTJqDnGROrSZ+a22ntNSjIy3Ls/QLJtnJUHIFbqePX6dFptoyqW+xTYR8KCjraSa0OGr/KKMuZ/WKvar2hbqdO1uJy3Vmo3GHork/QxFenjmk20l15tZs9lKwruFS6oRjvPFNJy9J9PTzJ+hnk2km305JnQ285GXZmWaZBeedpcJuM5Cbec4+AylcHGR+syLtL0CoxZON0mjHOT0qMjNNNgkZl2f20K23L1jotlQVO4uoJ5xOP/AMVPn6zn9pzdS3tZvthL/wCWpy9ROMHtNP5dtRp5tK0HPIzSotyPZCjL/WQ6Korr1xXXLjsuS50+bOcbQklKUtxZrMiIh3+CjL5YbT5/8v8A/LWO/wAaSYttNX/kInGiqVFbVGpyVmnk9IeUjpEkfM1J2Lb8piJfXLs76tWjHelw6aiv6pVJxS7k21nu8CTY2yu7OlRlLdjxKjk+6MISb72knjvPB7GFqWo2hnJeUEUypOdsCnMKnOM/U4aT2Sf6Ry6ThJi7pceTjy+G7gpZPITOJR+SS4zZnzUbaz22Ivr5+oVpQaPULxuOPSm5TSZdSfPjkSXCSkjUe6lrUf5zMWvJyfRMRyINp4xNqS3DkodrVVWgjVUFpPzkJ9TZFvsIW0I7ToNUbSu6lxJZw4xVNLV4jvLSPpNt9yZOsJbMrp1ruioW8XjKlJ1G9Fz3XrL0Uku9o7y3KLZ9rZnpVtWNXJFUp0ukTSnuOSieS8voXvuZ8JEnYjQR/lMZ0b/e0/kIaBoNHpFG1MdHQVNHAlRJE1om1kpKelhLWZFt2ERqPl6hn5sy6NPP+CQkfs9zqylvOW9SovMury6r59/Z6iN+0HKnGO6o7tWqsR6LCpLl3dvrPI+wWVmSXKYZsinMyHG4rdpwH0spUZIJxfHxq2L0nsW5itDMtu0XLdFFh3HfuMKJUHiaizLco7byzURcKDNe/M+XYJ206sKF1Qq1OkVUfsj8iFs2nOtbVqVPrJwXtl8zobaxZKlURu7L3ulm2aG8RqYcfUa5EkvW0yR7qL6+W/o3HYRsc2DdCyp1hZZXLqy+TMSpQXIaX1f4qVmZ+d9WwjeXLrkXZfVSkKWkocF1UKCyj97ZYbPhJKNuWx7b/nEuoCbbw1bsa7J64lWvKpsE7TYiVE41TW1Fydc25G56i9H+sVdzO/VCFw6slWqfYpxjHdT64k3FtpL7ct5LTsTtLeFg686CpRdGn9upJy3n2ZilJJNv7McN69rPdeeNKDjbHn2zrFbltXyXRuFATOQomCUvYlkSeZ7EW++/+wdDqA87ISXj5rfpFOdcV6VrVHSalH9ZmObkqttX/i2hXxU3mV3BDlO0iY4SiJbzZINaFGn8+2/5Rwc/mX7vmP5Epn7OkeWxlcfSqUruW9V/11LRNSprEf6e2OefPmem2Hbq2qxtI7tL/RcdXmNR5l/V2PHLlyK4H2r0L/3qGPf4lJ/a3h8VNy9Y+1ehf+9Px7/EpP7W8Oqu/sLxOVt/tMvgAAV5LAAAAiuVvwXXj/IFQ/Z1j4DD785W/BdeP8gVD9nWPgMJ1n0ZFuOqJla990qmWvMs66bZOtUl+UmcyluUcd1h8k8JqSsiPkaeRkZCaZKnU9eRbBqDDLcCEUCluE2bvElhsnCPY1H6i7TMUyBmZ9p7iwjNxlGfamn7E1/ngRN3qtU17Wn8PeTjI8qXRMq1S4KbNirUqprqEN+NIbfSZdIakK3QZkR8uw+f1DsqnliiON1ufQLJ+1tcuBlTMyac9bqEEvm6bTZkXCavrM9txWoDySxBQ7P88+02fOW92/55dhYeKW24VNu6rTJsKPHcoEuE2TsptDjjyuA0pS2auNW5EfMi2Fdl2EP0BtJ7zT7se9v4hLH+eHyA7qh3pddsx3Ilv1+ZAZdc6VaGF8JKXsRbn9exEX5h0oADn1qvVm45hVGu1J+dJJBNE68riVwEZmRb+rmf6RJ1zZFNx1blRiKJL8WtyX2jMtyJaSQZHt+UhCR7DkSFMJjKfcNlCjWls1nwpUfaZF2Ef1iNc2/0hwz0i8+PJrHvJNvcfR1PHVrHhzTz7izHMj2jBqlavOhU6pouCuRX46mHOjKLFW8nZx1Bl5yj5nsRkXb6RH72QmiUS3rPbMicjxvtlNSR77SH+aUn9aWyR/8AkYh5GZHuR7D2PyJEp1T8p9x51W3EtxZqUexbFuZ8+wiEOhsqlb1Izg3havL5LdivCKcvW8kuttWrcU5Qmll6clze9J+Mml6lg5dFr1ZtyYdQoVSfgyTbNo3WVcKjQZkZl+Tci/QO9+VjJP461T9cImAtSrJZ8rGSfx1qn64dTXbsuW5yZK4a3KqHk3F0XTr4uDi232/LsX6B1IADtreoDtdkrTx8DDJcTivT+Qh1bhEh1aU9iVGRfmMS/H77LLc/pnkI3SnbiURb9oiL3N5wy/x1f7QM9hKCyvkgiJJXpVCIi2IumH78rGSfx1qn64RMAMEwjZWyQqQ0lV6VQyNaSMum+sdpqCM05mufhUZfd2ew9v8Ak7Yr5hZNvNuK7EqJR/mMXTkTHlYyhdszIFl1KjS6bW0tPpS9UWmHWVE2lCm1pWZHuRpFFf3FKz2jRr3ElGG5Ujl8llyptLOrSePAvLG3q3ez61C3i5T36bwuuFGom8dzaz4lZ2R9qXa21AqlrP15Uw0sR4zMtUdXSqPYj4kkYkOZqVZVvXC1btp09TEiC3tU1+VqfR5QZEZtpUrtJHZvsXMz5chMMcY5yNju4P3RsUa2KhJQ0ppkn66wkmjVyNRbK7duW/1mOLduIrtuJ5l6l2natFUg1qeNi4m3TfUoyPdRrWfZz7PWKqW2bOW1Y1eOlSUeqqLdcnrHe6JdMR5t5fRFnHZN1HZbpcFuq5dHTe8orSW71b65lySwurKutIzO66GRmZkVSi7Fv2fdUif5UyVf1MyVc1Pp92VFiNHqb7bTSHdkoSSuRF9Q8rewhd1HrtPq9dqFAg0+BKalSHzqzDnAhtZKPzUq3Ps9AhORKzCuK/Lgr1OUaos+oPPsqMtt0GrkYs7a7oX201VtZqcY02m1zSblFpZ6Z5PkVtxa1rLZvDuYuMpTTSfJtKLy8ac1zOX8rGSfx1qn64PlYyT+OtU/XCJgL8oj3zp0upTH6hPkLfkyXDdedWe6lrM9zM/rMdjIt5yJQE1mQvZTy0k2gv8AFP0mOnE0uB9hVmQmkvINZdHuklEZl+YDKI1Ra/WrcmHUKDU34MlSDaN1lXCo0GZGZfk5F+gd78rGSfx1qn64RMAMEs+VjJP461T9cJpje97uuSBfEGvXDNnx0WjUXUtvOcSSWRIIj/LsZ/pFPif4bqFMYrNaolTqDUEriocukMSHj2bbed4eE1n6C83b84qttpysKmFnGH6k037i02M0r6nl4zle1NL3kA4lGkkmo9i7C35C28bUnHNXtqo1e6bNlNw6HF4plRTVVo8pfM/MaQ2REXEr1b8u0dYen/IRGfAugKT6FFWo/MvX98J7Ct+7aXZ0CyqvYNpVGFFdU/udfJJuun2rX0au3Y9i3/MKnam0aG0acLfZ9Xfm5LlCaUklzbSUll47HyXVrkWuytnV7CpKvfUt2Ci/twbi30SfovCz2rm+meZn55xtT63I6DaQajNCeIzNJb8i3FlYeqU+kWxkapUyW5GlR6E0tp1s9lIPp08yMek8DX/JUqQw3QW23FGpKPt0wXCW/ZzVv+kdvFteTiyxLwK66lTEzLhgt06DEizESFrUThLNZ8BmRJIi9I9tqbRtLil9Eo1FKpvwW6nmXKpFvK68knnTHM8Nm7Ou7er9Jq03Gnuze81iPOEkufTnlY1yQz5WMk/jrVP1wleKMk37U8lWzT6hdlRkRpFSZbdaW7ulaTVzIyFUCRY5rcK278oFeqKjTFgVBl94yLcyQSuZi32nCVWyrQgstwkku9plVs2cad7RnN4SlFvwTRxLvUortrpEoyI6lK3Ij7fuqhJcTUuh3HXG7an2c7WJctwlIfTUVxUxmklutauEj3Ii57/mHeXFhC7qzX6jWKDUKBOp8+U7KjvlV2G+NDizUXmqVuXb6RILEtK/McQ6pFXbNsVI600cZ5xyuNksmdtlNkbZ7pI9+fMt9i9Qo6+06F3YK2sainWaSUVLdlnHPo0/RWW1lZxhl5b7Nr21/wAe9puNFN5k470cetSXPkk8PGcoqzIpWg3d02LY0dxukRldA0pbpuG8pJmSnCMzPkZ9n1ER+kSDT2ZqzJbZqMzPpXu0/wD+O4OzruGLwr04qjRqBbVHjKbJBRma60pO5Ge6vuiuLc//AAHa46x7V8XXZEv69alRolNo6HnlEzUmn3HlG2pCW0IQZnuZqHnf7RtPqqrYqrmrw5Q3XJOblutYeG8yz17zey2fd/WtK8dLFLiRlvKLUFHeTyspYil07iBSsrZITJdSm9KoREtREXTfWPX8rGSfx1qn64RZ9ZOvuOJ7FqNRfnMeA62PJI5SXNlo5vnTKjHsGozpLj0qRasV111Z7qWs3HDNRn6xXtEk0yLVWJFZpblSiEr7pGQ+bSnd/QSyIzLmLVrNqy8sWvaE+0KlS1vUWjN0mdFlTW47jTjalHxeeZbkfFy2HGtjDt/WvXYdwv0y26gmA505R3q2xwLUnmW5Erc9j57DlLHaVpa2TtatRKqnNbu9uyzvSwuqazyw+/KOovdnXVzeq5pQbpvce9u70cbscvo08dq9TOPlmg2PbNCo8On229S7jqDaZklhVQXIKIwf3iFb7ecojI9tuREKsMz4TTue3btvyF63vZ125DfkTE2ba8CqSXikPzkV4jWsiLY07LVwkR7l2F6BEk6fsgmoiddoDaN/OWdajnwl6T++Hts3aFDZttGhtKruVerU5ZfPnyzJvd7I884XPmee09n19oXMq2z6W9S6JwjhcuXPEUt59Xyxl8uR3+Xr6vG3anbtPoVxzYMb9zNMc6JlzhTxG2e5/l5EIJ8rGSfx1qn64dlmqsUqq3bFjUia3Mao9Jh0pchv7x1xlGylJP0luYgIsNhRlDZ1GMlh7qK/bcoz2hWcXlb3YSz5WMk/jrVP1w6CsVurXBOVUq3UHpspSUoN55W6jSXYW/1DhALYqjuKfbzkqjy608vhaYQfRkXatRev1EOvp9Qm0qazUqbJcjyo6ycadbPZSFesjEspj7CbClMqeQThk5sk1FufP1CFgZZLPlYyT+OtU/XB8rGSfx1qn64RMAMEjqWRb6rEF6mVS6qhKiSE8LrLju6VlvvsZflIhycfff3D/IE7+rETHm0++xxmw+430iTQvgUaeJJ9qT27SP1CPdUXcUnTTxk97asrerGo1nBNqXdVo1K2qRQryj1JK6A86uG9AQ2ZutLUSlNL4+zzi++Lft7B2k+5ZFWh3ZkqTHKMqq8FEpbfHubSTIjcIvXwtpSnf/nDFZD2KkyVR0xFSHTYQo1paNZ8CVH2mSewjPYuYgz2RSc9+Ha88+aSclKSS7N6SWe7JOhtaqobk+xY0eVFxi3rupvHfg8EqUhSVoPZSTIyMvQZCV/Kxkn8dap+uETAWxVEs+VjJP461T9cPROyVf1ThvU6oXZUZEaSg23Wlu7pWk+0j+oRoAB5sMuSHkR2U8S3FElJeszHZ3BQzoTkaO44S3XGukc27CPcy2L9A4tFUlNXhqUZERPoMzP0cx32QnmXqnGNl1CyJjYzSoj/AIRgZ7DrKFd9z2wh5u3q5Lp6ZBkp0mF8PGZb7Gf5NzHa/Kxkn8dap+uETADBLPlYyT+OtU/XCU3nXaxcWDrYqNcqL86UdfnNm68riVwk2nYtxVQta3qR8oWJYNnUOpQGqzRavImrjS5KWOlZdQREpKlGRHsZcxTbZnGjwK1R4jGom32Jbsll6LLXMt9kQlW49GmsylTaS7W96LwtXhPkVcw62mQ27KbU+2lZG4jjMjWkj5lv6OXpFr3LRsdwsYN3QqzZNIqdZcU1RmFVNx81IT9++pJkWyS7C7dzHXxsB5AZkNPPM2+8hC0qU2dcjkSyI+ZGfF6RYF72ved8xlFOsGzmJiIqIcaU3caN4zafvSQjjJHL8gptp7Ys61xQ4NdbqeZONRLl2JreSab6vDeE0lz5XGzNk3VK3r8ai95rEVKm3zfVp7raaXTmllpt8uedCMy3IjMt+3n2i26rdlyWxhjH37nq1Kp/lLlW6XoF8PHwyS23/Juf6R1XV/yJ/wDIO+4//qHllHyOhWpaGPiqUabUaCia9OXFcJxptch0lk2Si5GZEXPYT620LXaF3bQtKim4zcnuvOFw6iy8dObS9ZAo2F1YWtzO6puClBRW8sZfEpvCz15Jv1HRfKxkn8dap+uD5WMk/jrVP1wiYDoznzta7dVx3Opldw1mVUDjkomjfXxcBK232/LsX6B5W9b7lbddWa+CPHTxOKLtM9uREOoEysN9hmFUSdeQg1bbcSiLfzTAyupDzM23N0GZGhW5H6tjEq+VjJP461T9cIq5++K/KY8QMEs+VjJP461T9cPdByrkdydGbXedUNKnm0mRvdpGotyENHtiOpYlsPr+9bdQs9vURkYynzMNciaZw/Czc38cL+rSJDie97Pxza1arapinrpmNKZiR+hUaW0l97urbbmrzj59iSLtHIvzHVZyHdk+9rRqNGl02sKTIbNypMsrQZoSRoUlZkZGRkOg+Qe//XQu+o3/AKhcOndUbudejTby3h4z17V8CpVS2rWsKFaaWEsrOOmOTO7vPI1r5FxnAYuCS41dtKPZDvQmopCS5Hur0cRbH+UtxXdk/wB2lv8A8qxP65IlPyD3/wCuhd9Rv/UOxtzDtz0C4KbXbgqNChU+nSmpch4qqy4aUNrJZkSUqMzM9thpOleXFWNSrTeVhN407X8zenVtLelKnSmsPOFnXsXyPTkbJd/U2/7ip8C7aixGjVOS000h3ZKEE4ZERfURCO/Kxkn8dap+uHXXvV4twXjW65C4vJ589+Q1xFsfAtZmW/5jHSCuuJKVWUl0y/Mn0IuNKKfXC8iWfKxkn8dap+uEYlypE6U9NmPKdfkOKddcUe5rWo9zM/rMzHqA+weR6ncTLecgUJqqyV/dJCyJCC7CTt2n9Y49EuGt23KXOoNUkQJC2zaU4yrhUaDMjMvybkX6BJLofYXalPbQ8hS08G6SURmXL1CFgZZLPlYyT+OtU/XB8rGSfx1qn64RMAMFtQrquO58JX0q4azKqBxp1JJo318XASnlb7fl2L9AqY1KMiSaj2LsLfsFk4yREuGy7tx6ipRYdTrK4UqEcpwm2nTjrNSm+M+RGZHy3Hh1f8if/IO+4/8A6hztDaFps+6uYXdRQcpqS3njK4dNZWeqymvFHQVrC6vra2na03NKDT3VnD4k3h46PDT9Z2lgUrHFTs+pXBc9mSWolEjEiRPTVVpOXLP7xtDWxFufb28uQqZSy6RS2iNBGZmkiPsL1bjQjVCuyHaFMsusWBaVQiU/icQo6+STcdPtcV0atjV+Xs9AgHyB5Ce+6tpoCUr85Kft1HLYj7C5q3/SI+zr6lburdXdTdpzl6DlPeg0s/Zbk+b6tcscklyJG0bGrXjSt7WnvThH01GG7JN4+0lFcl0T5t82+py8R1OoUaxskVOlS3IsuPToKmnmz2Ugzk7cj/IZiM/Kxkn8dap+uEyRbr+Lcd3bDumpU37YXK1GhwokSWiQvZt3pFOKNBmRJ25CoRP2RVhcVrm4pPMJTWGujxTgnjXmmvUQNq0p29K2oVVicYPK7VmpNrOnJp+st7DeR77q+U7aplTuuoSYsibwOsuO7pWngUexl+YVZVVKKqz0koyI5T25b9vnmO/xZXoFsZGt64Kq4aIkKalbyyLfhSaTTv8Am33EnqmB7zmVKVMpE+35sKQ8t5h8quwjpEKUZkfCpW5dvpHnXu6FhtOVS6moRlTgk3yTalPKz0ysrl3m9C0r3uzYwtouUo1JNpc2k4ww8aPD59x1+IaRb9z1pu26laDtTkPrNw5ZVFcZuKwkt1qWSSPciLn/AKhHb7Vap3VObsqM6zR2V9FH6Rw1qc4eRr3Mz7T7PqFtWTad84+pNVpT1r2xUk1xBMyXF11BKNkv+LI2z3SW579pb/mEdrmFbyrdQVUaRQ7apEZxKSTFZrrSkpMu091q4uf1iJRvqdO9nfVqm7QksQk55hJ9rScsJ8sJJcsNvm+U2tY1Z2MLOlTzWTzJKGJpdizu81zy23zykuS58HTy4sssUtwlq4kxppke/Mtozmw6BvLGSjQkzvWqdhf8cLCx9YVVxXcB31etTo0WBTokkkoYqLT7r7jjKkJQlKDM991CkkEaUJSfoIiE7Z9xSvL+vXt5KUNymsrmsp1G1nuUlnxIF/b1bSxoUa8d2e9UeH1w1TSeO9p48CWHljJP461T9cJBnKZLm1O0Z8uQt2S/aVOdcdUfnKWfSGajP1mYrQxclwWbOytRrXrtnVOlOqp1DjUibGlTm47rLrPFuZksy3I+LlsM7TrU7W6t69d7sFvJt9Flcsvszgxs2jUubavQorem91pLq8PnhduMlWUCTS41VZerVHcqsXcyVFbfU0pwz7NlERn2if5goNk2vApFLpdvvU24ZLSZk9lU5chMVpRHwNGatvPMjIz5cti2M9xz7SxHf9n3BEuV2l23UDp6+mQw7W2OE1l2GZEozPbt29Y7K9LEuy/nnpsezrXptRfkHJkzEV8lLdM99y2cVwkW578i9Ar699TuL2nd0amaEF6Uoz9HL5JSW8lhZz0bbwui52FCxq0LKpbVaf8ArTfoxlD0sLm3F7reX06pJZfVlGOmfQrTue2xntvy7BdGZ7+vS37wjUyi3LOhREUanKSyy5skjOOkzPb6x0Jafb/WZIkP2+y0rktw6zHMkF6T2JW57Dg5prdLrt+PP0eYiVGhwokDp0feuLZaJClJ9Zbkewlwvbe/2lSlazU1GFTLTyll08Za1w8eBEnZ3Fjs6qrmDg5ShhPk3hTzhPTKz4nB+VjJP461T9cPsTopqdQrOl6wqnVZjkqU/DkG484e6lmUp4uZ/kIh8Sh9q9C/96hj3+JSf2t4Wt39heJU2/2mXwAAK8lgAAARXK34Lrx/kCofs6x8Bh/QNflJm1+x7ioVOSlUupUmXEYSpXCRuOMqSkjP0FuZcx8n/m1tU30BQu+WhMtZxinvMj14uTWEZZAam+bW1TfQFC75aD5tbVN9AULvloS+LT1RH4c9DLIDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZZAam+bW1TfQFC75aD5tbVN9AULvloOLT1Q4c9DLIDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZZAam+bW1TfQFC75aD5tbVN9AULvloOLT1Q4c9DLIDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZZAam+bW1TfQFC75aD5tbVN9AULvloOLT1Q4c9DLIDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZZ2I+0gGpvm1tU30BQu+Wg+bW1TfQFC75aDi09UOHPQyyA1N82tqm+gKF3y0Hza2qb6AoXfLQcWnqhw56GWR4mhCj3UhJn9ZDVHza2qb6AoXfLQfNrapvoChd8tBxofxDhyfYZX6Jr/Jp/QHRNf5NP6Bqj5tbVN9AULvloPm1tU30BQu+Whnjw/iMcKWhlcm2y5k2n9A8hqb5tbVN9AULvloPm1tU30BQu+WhjjQ/iM8OS7DLIDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZZDYvUNTfNrapvoChd8tB82tqm+gKF3y0HFp6ocOehlkBqb5tbVN9AULvloPm1tU30BQu+Wg4tPVDhz0Msh2jU3za2qb6AoXfLQfNrapvoChd8tBxaeo4ctDK/RNf5NP6BaOEUpT9uuFJFv5N2F/1gtf5tbVN9AULvloeDmmrKenjb5S6fAjfug/tLyWYh/i6D984uH739+Rt69z9Qu/2dqxltOkk/4v7WV+1KbjaTbWnmjPmRG2zvSqGaEmfSJ7S/zEiPJQlP3qSL8hDUyNCuoLKaSv+0aNSHqRWPusVb1TbaWpKfMPdJ8y5pMfvza2qb6AoXfLQgbQrQV3VTf4pebJNrTlwIPHYvIyyA1N82tqm+gKF3y0Hza2qb6AoXfLQh8Wnqj34c9DK5ttme5tpM/yCz8JJSlyscKSLdLHYX/WC2fm1tU30BQu+Wh4OaZ8q6ednMl0+BGTXvNh+SzUP8Rs/f78PZ++o/LzF3+ztWMtpUknr/ayv2pTatJtrTzRQWTm0KvipGpCTP7j2l/zKBFyQhJ7pQkj+ohqZGiDPmX0lkWyqRSX6LVv7WcfqbbSz6L7ivdB8y89tX5uY8vm1tU30BQu+WhC2nWir2snL8UvNki0pydvTeOxeRlkBqb5tbVN9AULvloPm1tU30BQu+WhB4tPVEjhz0MsKQhX3ySP8pDs7VbbK6KOZNp38vj+j/nEjSnza2qb6AoXfLQ/FfY+9SNlkd412iUVum0IvtnMW3VmlqSwx90cMklzM+FJ7F6R72taHHgt7tXmedanLhyeOxle5mSlVrxSUkjLy9HaX/NuCmuia/yaf0DUjeD7+z4f7jsdQ4kmpQy+2bqJMlLCSYR9zUZKVyM+J5HL6z9Q9nza2qb6AoXfLQu/2oqxjtBpvsRXbHg5WyaXazLIDU3za2qb6AoXfLQfNrapvoChd8tDneLT1Ra8OWhlkBqb5tbVN9AULvloPm1tU30BQu+Wg4tPVDhz0Ms7F27ANTfNrapvoChd8tB82tqm+gKF3y0HFp6ocOWhlkBqb5tbVN9AULvloPm1tU30BQu+Wg4tPVDhz0MsgNTfNrapvoChd8tB82tqm+gKF3y0HFp6ocOehlkBqb5tbVN9AULvloPm1tU30BQu+Wg4tPVDhz0MsgNTfNrapvoChd8tB82tqm+gKF3y0HFp6ocOehlkBqb5tbVN9AULvloPm1tU30BQu+Wg4tPVDhz0MshsRdhDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDloZZAam+bW1TfQFC75aD5tbVN9AULvloOLT1Q4c9DLI/DSlXJSSP8pDU/za2qb6AoXfLQfNrapvoChd8tBxoajhy0Mr9E1/k0/oDomv8mn9A1R82tqm+gKF3y0Hza2qb6AoXfLQzx4fxGOFLQyv0TX+TT+geRERFsRbENTfNrapvoChd8tB82tqm+gKF3y0McaH8RnhS0MsgNTfNrapvoChd8tB82tqm+gKF3y0HFp6ocOehlkNiP0DU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZZAam+bW1TfQFC75aD5tbVN9AULvloOLT1Q4c9DLIDU3za2qb6AoXfLQfNrapvoChd8tBxaeqHDnoZXNCDPc0JM/yB0bf+TT+gao+bW1TfQFC75aD5tbVN9AULvloY4tPVDcnoZX6Nv8Ayaf0ATaCPckJ/QNUfNrapvoChd8tB82tqm+gKF3y0HFp6obk9DLIDU3za2q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+ } + }, + "cell_type": "markdown", + "id": "5f817f13", + "metadata": {}, + "source": [ + "## Introduction\n", + "\n", + "To improve initialization and readout fidelity, we can employ the MCMs. In particular, we will implement the post-selection (PS) and the maximum likelihood 3 readout (ML3).\n", + "\n", + "## Maximum-likelihood 3 readout and post-selction\n", + "\n", + "The ML3 RO measurement procedure is implemented at the measurement step. Instead of reading out the state only once (ML1), we perform three measurements back to back. Depending on the 3 measurement outcomes, we assign the qubit's state. It allows us to gain additional information about the qubit state over an extended duration by tracking the trajectory of the state over the three measurements.\n", + "\n", + "To correctly assign the qubit's state, we measure in which 3-measurement combinations you are more likely to be in $\\left|0\\right\\rangle$ or $\\left|1\\right\\rangle$. To characterize the readout, we use the circuit below (Figure 7). We prepare the qubits in $\\left|0\\right\\rangle$ and $\\left|1\\right\\rangle$ state and perform three back-to-back measurements. We calculate the probability of obtaining each of them for each combination of measurement outcomes considering the initial state of the qubit. From these statistics, we can conclude what combination most likely corresponds to what input state.\n", + "\n", + "Post-selection is implemented by doing a qubit measurement right after the initialization. If the qubit is not in the desired state, we disregard the job.\n", + "\n", + "![Fig.%201.jpeg](attachment:Fig.%201.jpeg)\n", + "(**Figure 7.** ML-3 RO calibration procedure for one qubit. $m_{j}$,$m_{k}$,$m_{l}$ are the three measurements that characterize the ML-3 RO procedure. With only one job, we fully characterize the ML3 RO (TV mode). First, we prepare the qubit in the $\\left|0\\right\\rangle$ state and we measure it three times. Then, the qubit is initialized in the $\\left|1\\right\\rangle$ state and measured.) " + ] + }, + { + "cell_type": "markdown", + "id": "8d145c83", + "metadata": {}, + "source": [ + "You can find the utility functions that we use below to create the local directory and save the data in the public\n", + "GitHub repository: https://github.com/DiCarloLab-Delft/QuantumInspireUtilities/tree/main" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d2c03cd4", + "metadata": {}, + "outputs": [], + "source": [ + "from utilityfunctions import *\n", + "\n", + "save_account('write your token here')\n", + "DataPath = NewDay() # Creates the path where you save your data." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "07b8fddc", + "metadata": {}, + "outputs": [], + "source": [ + "maxShots = 16384\n", + "\n", + "def MCM(suffix: str=\"\", shots: int = maxShots, backend: int=1):\n", + " basename='Post_selection'\n", + " histname, cqasmname, rawname = PrepFile(basename, suffix, doraw = 1)\n", + " \n", + "\n", + " for k in tqdm(range(1), desc=histname):\n", + " index=2**2\n", + " qasm_string = \"\"\"\n", + " version 1.0\n", + " qubits 5\n", + " prep_z q[0:4]\n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " \n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " \n", + " barrier q[0:4]\n", + " \n", + " prep_z q[0:4]\n", + " \n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " \n", + " barrier q[0:4]\n", + " X q[0:4]\n", + " \n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " barrier q[0:4]\n", + " measure_z q[0:4]\n", + " \n", + " barrier q[0:4] \n", + " \"\"\".format(qubit = qubit)\n", + "\n", + " results = API_RunAndSave(1, qasmprog=qasm_string, histname=histname, cqasmname = cqasmname, shots=shots, backend=backend, lastonly=0, getresults=1)\n", + " API_SaveRawData(results, 1, rawname)\n", + " return" + ] + }, + { + "cell_type": "markdown", + "id": "d6480092", + "metadata": {}, + "source": [ + "Since some measurement combinations occur very rarely, we acquire a lot of data to get a good statistic of the outcome." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c12f9011", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Hist_Post_selection_repeated_0_API.txt: 100%|██████████| 1/1 [00:57<00:00, 57.25s/it]\n", + "Hist_Post_selection_repeated_1_API.txt: 100%|██████████| 1/1 [00:34<00:00, 34.40s/it]\n" + ] + } + ], + "source": [ + "rep = 2 # how many consecutive times you want to run the job?\n", + "for k in range(rep):\n", + " MCM(shots = maxShots, suffix=\"repeated_{}\".format(k))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6778c114", + "metadata": {}, + "outputs": [], + "source": [ + "bins_sliced = []\n", + "\n", + "for i in range(rep):\n", + " filedata = os.path.join(DataPath, 'Hist_Post_selection_repeated_{}_API.txt'.format(i))\n", + " \n", + " foldername_bins = os.path.join(DataPath, 'Raw_' + filedata[112:-4]) # you may need to change the indices in filedata to have the correct file name \n", + " filename_bins = os.path.join(foldername_bins,'Raw_' + filedata[112:-4]+'_1.csv') # you may need to change the indices in filedata to have the correct file name \n", + " bins_loaded = np.loadtxt(filename_bins, delimiter=',', skiprows=1, dtype='str') #load all output bins into an array\n", + " for j in range(len(bins_loaded)):\n", + " bins_sliced.append(bins_loaded[j][1:])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "9e5570c6", + "metadata": {}, + "outputs": [], + "source": [ + "bins = ['$|000\\\\rangle$','$|001\\\\rangle$','$|010\\\\rangle$','$|011\\\\rangle$', '$|100\\\\rangle$','$|101\\\\rangle$','$|110\\\\rangle$','$|111\\\\rangle$']\n", + "\n", + "bins_int = [np.array([0, 0, 0]), np.array([0, 0, 1]), np.array([0, 1, 0]), np.array([0, 1, 1]),\n", + " np.array([1, 0, 0]), np.array([1, 0, 1]), np.array([1, 1, 0]), np.array([1, 1, 1])]" + ] + }, + { + "cell_type": "markdown", + "id": "0f046546", + "metadata": {}, + "source": [ + "The following function calculates the frequencies of the measurement combinations that are related to the different initial states, the return \"i\" from the function below is this threshold. This integer number tells us which qubit's state correspond to the 3 bit outcome." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "8e8920a0", + "metadata": {}, + "outputs": [], + "source": [ + "def measures_selecting(bins_sliced,qubit):\n", + " selec = np.empty((len(bins_sliced),len(bins_sliced[1])))\n", + " for i in range(len(bins_sliced)):\n", + " for j in range(8):\n", + " selec[i][j] = bins_sliced[i][j][qubit] # obtaining the right measurements based on the qubit.\n", + " \n", + " meas0 = selec[:,0:4] #obtaining the measurements for state 0 of qubit\n", + " meas1 = selec[:,4:8]\n", + " \n", + " # post-selection\n", + " meas0_selec = np.array([2,2,2])\n", + " meas1_selec = np.array([2,2,2])\n", + " \n", + " for i in range(len(meas0)):\n", + " if meas0[i][0] == 0:\n", + " meas0_selec = np.vstack((meas0_selec,meas0[i][1:]))\n", + " if meas1[i][0] == 0:\n", + " meas1_selec = np.vstack((meas1_selec,meas1[i][1:]))\n", + " \n", + " meas0 = meas0_selec[:][1:]\n", + " meas1 = meas1_selec[:][1:]\n", + " \n", + " \n", + " unique_rows0, counts0 = np.unique(meas0, axis=0, return_counts=True)\n", + " unique_rows1, counts1 = np.unique(meas1, axis=0, return_counts=True)\n", + " \n", + " unique_rows0 = unique_rows0.astype(int)\n", + " unique_rows1 = unique_rows1.astype(int)\n", + " \n", + " counts_tot0 = np.zeros(8)\n", + " counts_tot1 = np.zeros(8)\n", + " \n", + " meas0 = meas0.astype(int)\n", + " meas1 = meas1.astype(int)\n", + " \n", + " for j in range(len(bins)):\n", + " for i in range(len(meas0)): \n", + " if np.array_equal(meas0[i], bins_int[j]):\n", + " counts_tot0[j] += 1\n", + " \n", + " for l in range(len(meas1)):\n", + " if np.array_equal(meas1[l], bins_int[j]):\n", + " counts_tot1[j] += 1\n", + " \n", + " prob0 = counts_tot0 / len(meas0)\n", + " prob1 = counts_tot1 / len(meas1)\n", + " \n", + " i = 0\n", + " while prob0[i]>prob1[i]: \n", + " i = i + 1\n", + " tres0 = i\n", + "\n", + " return i, prob0, prob1" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "5d69ad12", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "just\n", + "wait\n", + "a\n", + "minute\n", + "done!\n" + ] + } + ], + "source": [ + "i0, prob0_0, prob0_1 = measures_selecting(bins_sliced,0)\n", + "print('just')\n", + "i1, prob1_0, prob1_1 = measures_selecting(bins_sliced,1)\n", + "print('wait')\n", + "i2, prob2_0, prob2_1 = measures_selecting(bins_sliced,2)\n", + "print('a')\n", + "i3, prob3_0, prob3_1 = measures_selecting(bins_sliced,3)\n", + "print('minute')\n", + "i4, prob4_0, prob4_1 = measures_selecting(bins_sliced,4)\n", + "print('done!')" + ] + }, + { + "cell_type": "markdown", + "id": "78ff0409", + "metadata": {}, + "source": [ + "The graphs for each qubit are shown below. If we consider only the first measurement (ML1), we will assign the outcome '011' erroneously to the state $\\left|0\\right\\rangle$. Indeed, we see that we are more likely to measure outcome '011' when the qubit is initialized in $\\left|1\\right\\rangle$. So, we move the threshold one step to the left.\n", + "Different qubits can have different thresholds to asses the state $\\left|0\\right\\rangle$ or $\\left|1\\right\\rangle$. While the ML1 RO threshold is always between 0 and 1, in the ML3 RO procedure, it can shift over time." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "8b33c999", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.0000000000000002 1.0\n" + ] + }, + { + "data": { + "image/png": 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9mUO1EkstFd5ZyBvNy7LuyHn2n43l9d928mPPWlgs/72aJCIiIiIikkGS4o3Cetsk47hIHXh8PAQWNI5D2kK5Vsbu5XHnjDXdRes47Uj3PzTVPAvx8XRnRNdqeHm4sfJAFJPWnzA7koiIiIiIZBWR+2Bc47+Lbgs8/Ab0mH+96P6HmzsUrw+VOhr/dfKiG1R4Zzll8/nzdotyAHyycB8Hz8WanEhERERERFya3Q5bf4KxjSBqnzGK3X0uNH4H3LPGJGwV3rfhKrua30qPOsVoVDaYpBQbL01RizERyRhPzXqKRyc/ylOznjI7ioiIiJglIQZmPgfzX4KUq1CyMfRbCyUamJ0sU6nwvg1X2tX8vywWC190rEIuXy/2n43li0UHzI4kIi7or+N/seTIEv46/pfZUURERMQMZ7bDmIdhz0ywuEOTD+GpmeAXbHayTKfCO4sK9vdmWKfKAExYe4y/DkaZnEhERERERFyC3Q7rR8L4pnDpGAQWgWcXQb1XwC1rlqAWu91uNzuEI4uJiSEwMJDo6GgCAgLMjpPu3p+7h0nrTxDs782il+uTy08txkQkfcQmxmLHjgUL/t7+ZseRdKDXVERE7ir+IswdAAcWGsflWkO7742WYS4mNbVi1rzcINe83bI8pfL4ERWbyJszd6PrMCKSXvy9/QnwDlCB5kL0moqIyB2dWA+j6xlFt7sXtPwSukx2yaI7tVR4Z3FGi7GqeLm78ee+c/y66aTZkURERERExJnYrLBqGExsBTGnIVcp6LUMHugNFovZ6RyCCm+hQoFA3mheFoD/LQjjcGScyYlERERERMQpxJ6Dn9vD8o/BboXKXaHPSshf2exkDiVrNE2Tu3q2bnH+OhjF6kPneXnqdmb1r4O3h/M3qhcR88zaN4v45Hiye2anQ/kOZseRdDB8/XBiEmMI8A5gUO1BZscRERGzHV4Gs/vClSjwzA6tvoKqT5qdyiFpc7XbCA0NJTQ0FKvVysGDB112c7V/OxeTQPNvVnEpPpm+D5dgcMvyZkcSESdWaHghTseepqB/QcIHhZsdR9KBXlMREQHAmgwrPoE1XxvHeStCxx8huIy5uTKZNldLB67cx/t28gb48NnjxpSQMauOsvbweZMTiYiIiIiIQ7l80ljL/U/RXfM56PVnliu6U0tTzeUGj1bIxxMPFGHKppO8On0nf7xcn5y+XmbHEhEn9HHjj7mSdAVfL1+zo4iIiEh62LcA5vaHhGjwDoC230GFx8xO5RRUeMtN3mtdno1HL3D0/BXenr2bkU9Vx6LdCEUklXpW7Wl2BBEREUkPKYmw5D3YNMY4LlgDOk6AnMVMjeVMNNVcbpLdy4MRXavh4Wbhjz1nmbFF6/hERERERLKk84dhfJPrRXedF+GZRSq6U0mFt9xSpUKBvNrMaDH24fy9HDt/xeREIiIiIiKSqXZNh7EN4OwuyJ4LnvoNmn0MHlqKmloqvOW2+j5cgtolchGfZOXlqdtJttrMjiQiIiIiIhkt6QrMGQCzekNSHBSrD/3WQOmmZidzWiq85bbc3Cx81bkKgdk82RUezTd/HjQ7kog4kULDC2EZYqHQ8EJmRxEREZF7dW4vjG0EOyaDxQ0aDobucyGggNnJnJoKb7mjAjmy8Wn7SgCMXHmEjUcvmJxIRERERETSnd0OWybAuMZw/gD454fu86DhW+DmbnY6p6ddzeWuWlXOz8oDhZixNZxXpu3gj4EPE5jN0+xYIuLgquevTuHAwgRnDzY7iqQTvaYiIi4qIRrmvQRhc4zj0s3gsVHgm9vUWK7EYrfb7WaHcEShoaGEhoZitVo5ePAg0dHRBAQEmB3LNHGJKbT6djUnLsTTunJ+vnuimlqMiYiIiIg4u9NbYcYzcPkEuHlAkw/hoQHgpsnRdxMTE0NgYOA91YoqvO8iNX+Zrm77yUt0HL0eq83O8M5V6FBd6zZFRERERJySzQYbQuHPD8GWAjmKQMcfoVBNs5M5jdTUirqMIfesWpGcvNKkNADvz93LyQvxJicSEREREZFUu3IBpnSFJe8aRXdIO+i7WkV3BlLhLanyfMNS1CqWk7jEFF6etp0UtRgTEREREXEex9fC6HpwaDG4e0Or4dDpJ8iWw+xkLk2Ft6SKu5uFr7tUxd/bg+0nL/Pd8sNmRxIRB/Xiwhd5etbTvLjwRbOjSDppO6UttX+oTdspbc2OIiIiqWWzwsrP4afWEHsGcpeB3suh1nOgvZsynApvSbVCObPzcfuKAHy3/BBbT1w0OZGIOKLZ+2fzy+5fmL1/ttlRJJ1si9jGhvANbIvYZnYUERFJjZgImNQOVn4KdhtUfQr6rIR8Fc1OlmWo8JY0aVe1IO2rFcRmh5en7iA2IdnsSCIiIiIi8l+H/jSmlh9fDZ6+0H4sPDYSvHzNTpalqI+3pNmQdhXYfPwi4Zeu8sHcvQzvUtXsSCLiQFY/sxqr3Yq7xd3sKCIiIlmPNRmWfQTrvjWO81WCjhMhdylTY2VVGvGWNAvw8eSbLlVxs8Cs7aeZu+O02ZFExIEUz1mcUkGlKJ6zuNlRREREspZLJ2BC8+tF9wN94Lk/VXSbSIW33JeaxYJ4sbHRYuzdOXsIv6QWYyIiIiIipgmbC6Prw+kt4BMInX+GlsPA08fsZFmaCm+5by82LkW1IjmITUjhlWk7sNrsZkcSEREREclakhNgwSCY3h0So6FQLaM3d4g6UTgCFd5y3zzc3RjRpRq+Xu5sPn6JUSvVYkxEYOXxlSw+vJiVx1eaHUVERMS1nT8E45vAlh+M47oD4Zk/IGdRU2PJdSq8byM0NJSQkBBq1apldhSnUCRXdj5qZ7Qj+PrPQ+w4ddncQCJiuqdnPU3zX5rz9KynzY4iIiLiunZMgTEN4NxuyJ4bnp4JTYeAu6fZyeRfVHjfxoABAwgLC2Pz5s1mR3EaHaoXpHXl/Fhtdl6eup0riSlmRxIRERERcU2JcTC7H8zpB8lXoPjD8PxaKNXE7GRyC2onJunGYrHwyWOV2HbiEicuxDNk/l6+6FjF7FgiYpJBtQcRkxhDgHeA2VEkneg1FRFxEGd3w4xn4MIhsLhBw7eh/iBwUwtPR2Wx2+3aCesOYmJiCAwMJDo6moAAfdC4FxuOXuCJcRuw22HkU9VpWSm/2ZFERERERJyf3Q6bx8Pid8CaCP4FoOMPULSO2cmypNTUippqLunuoRK56N+wJACDZ+3mzOWrJicSEREREXFyVy8bO5YvfM0ouss0N6aWq+h2Ciq8JUMMbFKGyoUCib6azKDpajEmIiIiIpJmpzYbvbn3zQM3T3h0KDwxFbIHmZ1M7pEKb8kQnu5ujOhajWye7mw4epFxq4+aHUlERO5TbGIsMYkxxCbGmh1FRCRrsNlg7Qj4sTlEn4ScxeC5JVC7P1gsZqeTVFDhLRmmeG5fPmwbAsBXSw6wOzza5EQikpkqj6pM8LBgKo+qbHYUSSflQ8sT+Fkg5UPLmx1FRMT1xUXBr51g6ftgS4EKHaDvKihY3exkkgYqvCVDda5ZmOYV8pFstfPytO3EJ6nFmEhWcfHqRc7Hn+fi1YtmRxEREXEux1bB6Hpw+E/w8IE2I6DjBPAJNDuZpJEKb8lQFouFoR0qkTfAm6NRV/j4931mRxKRTFIsRzFK5ixJsRzFzI4iIiLiHKwpsOJT+KktxJ2F4HLQewXU6Kmp5U5Ofbwlw+X09WJ456o8/cNGft14koZlgmlWIZ/ZsUQkg615do3ZEURERJxHzBmY2QtOrDWOq3WDFl+AV3Zzc0m60Ii3ZIq6pXLTp34JAN6cuYtzMQkmJxIRERERcRAHF8OoukbR7eUHj/8A7b5X0e1CVHhLphnUrAwVCgRwKT6Z12bsxKYWYyIiIiKSlaUkweJ34NfOcPUi5K9ibKBWqaPZySSdqfCWTOPt4c6IrlXx8XRj9aHzTFh7zOxIIiIiIiLmuHgMJjwK6783jh/sB88thVwlzc0lGUKFt2SqUnn8ebeV0WLsi0UHCDsTY3IiEckoQ1YOYdDiQQxZOcTsKCIiIo5lzywY8zCc2QY+OaDrFGjxOXh4m51MMogKb8l0Tz1YhCbl85BktfHy1O0kJFvNjiQiGWDctnF8veFrxm0bZ3YUERERx5B8FeYPhN+egcQYKPwQ9FsD5VqanUwymApvyXQWi4XPH69Mbj9vDkXGMXShWoyJiIiIiIuLOgDjHoGtPwIWqP8q9PwdchQ2O5lkArUTu43Q0FBCQ0OxWjUamxFy+XnzVecq9JiwiZ/Wn6BB2WAal8trdiwRSUdzu84lyZqEl7uX2VEkneg1FRFJA7sdtk+GP96A5HjwzQMdxkLJRmYnk0xksdvt2lr6DmJiYggMDCQ6OpqAgACz47icj+aHMWHtMXL5erFo4MME+2tdi4iIiIi4iMRYWDAIdk83jks0gvZjwF8DTq4gNbWippqLqd5oXpZy+fy5cCWJ13/bia4DiYiIiIhLiNgJYxoYRbfFHR55H56epaI7i1LhLaby8XRnRNdqeHm4sfJAFJPWnzA7koiIiIhI2tntsHEMjG8CF49AQCF4ZqGxpttN5VdWpTXeYrqy+fx5u0U5PpwfxicL91G7ZC7K5PU3O5aI3Kfd53aTbEvG082TSnkrmR1H0sGCgwu4mnyVbJ7ZaF2mtdlxREQcT/xFmPci7F9gHJdtBe2+h+xB5uYS02mN911ojXfmsNvt9PxxM38djKJcPn/mDKiLj6e72bFE5D4UGl6I07GnKehfkPBB4WbHkXSg11RE5A5OboSZz0H0KXD3gmYfwwN9wGIxO5lkEK3xFqdjsVj4slMVcvl6sf9sLMMWHzA7koiIiIjI3dlssPor+LGFUXQHlYDnlsKDfVV0yzWaai4OI9jfm2GdKvPsxC38sOYYDcoE83CZYLNjiUga9ajSg8sJl8nhk8PsKCIiIhkjLhJm9YGjK4zjSp2g9dfgrWWTciMV3uJQGpfLS/faRZm0/gSvztjJopfrk8tPLcZEnNEnj3xidgQREZGMc2SFUXRfiQSPbNByGFR7WqPcckuaai4O5+2W5SmVx4+o2ETenLlbLcZERERExHFYU2DZ/+Dn9kbRnScE+qyE6t1UdMttqfAWh2O0GKuKl7sbf+47x6+bTpodSUREREQEosNhYitY/SVghxo9ofdyyFPO7GTi4FR4i0OqUCCQN5qXBeB/C8I4HBlnciIRERERydL2L4TR9eDUBvAOgI4ToM0I8MxmdjJxAiq8xWE9W7c49UrlJiHZxstTt5OUYjM7koikQuOfGlNhZAUa/9TY7CgiIiJpl5IIf7wFU5+Aq5egQDXouwoqPm52MnEiKrzFYbm5WfiqcxVyZvdk75kYvlqqFmMizuTghYOERYVx8MJBs6OIiIikzYUj8ENT2DjKOH5oADy7BIKKm5tLnI4Kb3FoeQN8+OzxygCMXXWUdYfPm5xIRO6Vn5cf/l7++Hn5mR1F0oleUxHJUnb/BmMaQMROyBYET0yD5p+Ch5fZycQJWezaMvqOYmJiCAwMJDo6moCAALPjZFmDZ+1myqaT5Avw4Y+X65PTV//giYiIiEgGSIqHP96A7T8bx0XqwOPjIbCgubnE4aSmVtSItziF91qXp0RuX87GJPD2bLUYExEREZEMELkPxjX6u+i2wMNvQI/5KrrlvqnwFqeQ3cuDEV2r4eFm4Y89Z5mxJdzsSCIiIiLiKux22DoRxjaCqP3glxe6z4XG74C7h9npxAWo8BanUalQIK82M1qMfTh/L8fOXzE5kYiIiIg4vYQY+O1ZmP8ypFyFko9Av7VQooHZycSF6PKNOJU+D5fgr4ORbDh6kYFTt/Pb83XwdNf1IxFH9P2m74lNjMXf258XHnjB7DiSDl5f8jqXEi6R0ycnw5oNMzuOiMj9O70NfnsGLh0HNw9o/B7UeQnc9PlS0pc2V7sLba7meM5cvkqLEauJvprMC41K8dqjZc2OJCK3UGh4IU7Hnqagf0HCB2l5iCvQayoiLsNuhw2jYOn7YEuGwCLQcQIUrmV2MnEi2lxNXFqBHNn4tH0lAEJXHmbj0QsmJxIRERERpxF/EaY8AYsHG0V3+TbQb5WKbslQmmouTqlV5fysPFCIGVvDeWXaDv4Y+DCB2TzNjiUi/zKh3QQSUhLw8fAxO4qIiIjhxDqY2QtiToO7Fzz6KdTqBRaL2cnExWWJEe/27duTM2dOOnbsaHYUSUcftK1A0VzZOROdwDtqMSbicJqVbEbbsm1pVrKZ2VFERCSrs1nhr2EwsZVRdOcqBb2WwQO9VXRLpsgShfdLL73EpEmTzI4h6czP24NvulTF3c3Cgl0RzN5+2uxIIiIiIuJoYs/Cz4/Bio/BboPKXaHPX5C/stnJJAvJEoV3o0aN8Pf3NzuGZIBqRXIy8JHSALw/dy8nL8SbnEhEREREHMbhP2F0PTi2Cjyzw2OjoMMY8PYzO5lkMaYX3qtWraJNmzYUKFAAi8XCnDlzbjpn5MiRFC9eHB8fH2rUqMHq1aszP6g4rP6NSlGrWE7iElMYOG07KVab2ZFEBIiIjSA8JpyI2Aizo4iISFZjTYY/P4TJj8OVKMhb0Rjlrvqk2ckkizK98L5y5QpVqlTh+++/v+X906ZNY+DAgbzzzjts376d+vXr06JFC06ePHntnBo1alCxYsWbvs6cOZNZfwwxkbubheGdq+Lv7cG2k5f5fsVhsyOJCFBrXC0Kf12YWuO0S6w4GZsVjq2G3b8Z/7VZzU4kIrdzq/fr5ZPwY0tY87VxTs3noNefEFzG3KySpZm+q3mLFi1o0aLFbe8fPnw4zz33HL169QLgm2++YfHixYwaNYqhQ4cCsHXr1nTLk5iYSGJi4rXjmJiYdHtsyTiFg7LzcfuKvDx1B98uO0T90rmpUTTI7FgiIuJswubBojch5l8X7wMKQPPPIaSteblE5Ga3er9mC4KUBEiOB+9AaPstVHjMtIgi/zB9xPtOkpKS2Lp1K82a3bgjbrNmzVi3bl2GPOfQoUMJDAy89lW4cOEMeR5Jf+2qFqR9tYLY7PDy1B3EJiSbHUkkS2tVuhUdQzrSqnQrs6NIOnH51zRsHkzvfuOHeICYCOP2sHnm5BKRm93u/Xr1olF0B5UwenOr6BYHYfqI952cP38eq9VK3rx5b7g9b968nD179p4f59FHH2Xbtm1cuXKFQoUKMXv2bGrVuvXUx8GDBzNo0KBrxzExMSq+nciQdhXYfPwi4Zeu8sHcvQzvUtXsSCJZ1pg2Y8yOIOnMpV9Tm9UYOeNWrSntgAUWvQXlWoGbeyaHE5Eb3PH9+reURAjUZ3hxHA494v0Py39669nt9ptuu5PFixcTFRVFfHw84eHhty26Aby9vQkICLjhS5xHgI8n33SpipsFZm0/zdwdajEmIiL34MS6m0fObmA3ev+eyJgZdyKSCnd9v6L3qzgchy68c+fOjbu7+02j25GRkTeNgov8o2axIF5obLQYe3fOHsIvqcWYiIjcRdy59D1PRDKO3q/ihBy68Pby8qJGjRosXbr0htuXLl1KnTp1MvS5Q0NDCQkJuePouDiulxqXolqRHMQmpDBo2k6stjtMRRIREfG7xwv693qeiGQMmw1Obri3c/V+FQdieuEdFxfHjh072LFjBwDHjh1jx44d19qFDRo0iPHjxzNhwgT27dvHK6+8wsmTJ+nXr1+G5howYABhYWFs3rw5Q59HMoaHuxvfdKmKr5c7m45fZNRKtRgTyWydZnSi4cSGdJrRyewokk5qjq1JoeGFqDm2ptlR0ldyAhz84x5OtMC5vcYHfxHJfOcPw48tYPO4u5xogYCCUDRjB+pEUsP0zdW2bNlCo0aNrh3/s7FZjx49mDhxIl26dOHChQt89NFHREREULFiRRYuXEjRokXNiixOomguXz5qV5FXZ+zk6z8PUa90MFUL5zA7lkiWsf7Uek7Hnqagf0Gzo0g6ORt3ltOxLrZ3RsQumN0XIsP+daOFGzdt+ufYbmzoFDYX2n0PuUpmalSRLMtmhQ0jYfnHRqswLz+o1Am2Tvz7hP++X4Hmn2kjRHEopo94N2zYELvdftPXxIkTr53Tv39/jh8/TmJiIlu3buXhhx82L7A4lQ7VC9K6cn6sNjsvT93OlcQUsyOJiIgjsKbAqi9hXGOj6PYNhiemQuefISD/jecGFIBOk6Dll+DpCyfXwag6sO47oyAQkYwTdRAmPApL3jWK7hKNoP96aPMNdJ506/dr50kQ0taUuCK3Y7Hb7Vr8egcxMTEEBgYSHR2tHc6dVHR8Mi1GrOJMdAKdaxbii45VzI4kkiUkpiRe+97bw9vEJJJeCg0vdG0WQ/igcLPjpN2FIzC7H4RvMo7Lt4HW34BvbuPYZjV2Q447Z6wRLVrn+sjZpRMw/yU4utI4LlgT2oVCnnKZ/acQcW3WFFj/Paz4FKyJ4OUPj34C1bvDv7sb3en9KpLBUlMrqvC+jdDQUEJDQ7FarRw8eFCFt5PbcPQCT4zbgN0OI5+qTstK+e/+QyIicgOnL7ztdtgywRg5S44H7wBoOQwqd7nxg/y9PM62ScbjJMaAuxc0fAvqvAzupq/iE3F+kftgTn84s804LtUE2oyAwELm5hL5DxXe6Ugj3q7ji0X7GbnyCIHZPFk0sD75A7OZHUlExKk4deEdEwFzB8CRZcZx8Yeh3UjIUTjtjxkdDgtegUNLjOP8VYzHzFfx/vOKZEXWFFg3AlZ+BtYk8A6E5kOh6pOpuzgmkklSUyuavsZbJLMMbFKGyoUCib6azKBpO7GpxZiISNawZyaMfMgouj18oPnn0G3u/RXdYIy+PTkd2o8BnxwQsRPGNoAVQyElKV2ii2QZ5/bC+Edg2UdG0V36URiwAao9paJbXIIKb8kyvDyMFmPZPN1Zf/QCY1cfNTuSiEv7dfevjN82nl93/2p2FMmq4i/Cb88aXwmXIX9V6LsKHuoHbun0EchigSpdYcBGKNcabCnw12cwtiGc2Z4+zyHiyqzJ8NcXMKYBROwAn0DjYtaT04yN0kRchApvyVJKBPvxYdsQAL5acoDd4dEmJxJxXW8sfYPe83vzxtI3zI4iWdHhP42dx/fMBIs7NHgLev0JwWUz5vn880GXydBxAmTPBZF7Ydwj8OeHRp9wEbnZ2d1GZ4EVn4AtGcq2hAGbjItZGuUWF6PCW7KczjUL07xCPpKtdl6etp34JLUYExFxGUlXYMEgmPw4xEZArtLQayk0Ggzunhn73BYLVHzcKBwqdAC7FdZ8DWPqw6lNGfvcIs4kJclYkjG2IZzdBdlyQofx0PVX4yKWiAvS1pu38e9dzcW1WCwWhnaoxPZTlzgadYWPf9/Hp+0rmR1LxOV80fQL4pPjye6Z3ewokk4c/jU9tQlm94WLfy8lerAfPPIBeGVyXt/c0OlHqNjBuAhw/iD80Awe6g+N3838PCKOJGKnsWP5uT3Gcfk20PIr8M9rbi6RDKZdze9Cu5q7rrWHz/PU+I0AjO1Wg2YVdIVVRMQppSQZ66rXfA12GwQUhMdGQomGZicz1pkvfgd2/r3XQc7i0O57KFbP3FwimS0lEVYNg9XDjdkg2XNByy+hQntNKxenpV3NRe5B3VK56fNwCQDenLmLyBitwRMRcTrnwmB8Y1j9lVF0V+4Kz69zjKIbIHsQtB8FT84wLghcOgYTW8Hvr0FinNnpRDLH6W3GtPJVw4yiO+Qx6L/RmBWioluyCBXekqW92qwMIfkDuBSfzKsz1GJMRMRp2Kyw9lujfdfZ3ZAtCDpPgg5jIFsOs9PdrEwz6L8eqvcwjjePg5G14cgKc3OJZKTkBPhzCIxvApFhkD03dPoJOv8EfsFmpxPJVJpqfheaau76DkfG0vq7NSQk23i3VXl61S9hdiQRl5CYknjte28PbxOTSHo5cP4AKbYUPNw8KJs7g3YHvxeXjhtrRE+sNY7LNIc23zrPGtEjK2D+S3D5pHFcvTs0+9hooyTiKsK3GO/T8weM44qPQ4th4JvL3Fwi6Sg1taIK77tQ4Z01TN5wgnfn7MHL3Y05A+oSUkCvtcj9KjS8EKdjT1PQvyDhg8LNjiPpwPTX1G6H7ZNh0VuQFAdeftB8KFTr5nzTVRPjYNkQ2DTWOPYvAG2+gTKPmhpL5L4lX4UVn8L6743lH755oPVwYxM1ERejNd7pIDQ0lJCQEGrVqmV2FMkETz1YhCbl85BktfHy1O0kJGs3exERhxIXCVOegHkvGEV3kdrQb40xWuxsRTeAtx+0HAY9F0JQCYg9A792hll9jQ3ZRJzRqU0wuj6s+/bvPRe6wICNKrpFUOF9WwMGDCAsLIzNmzebHUUygcVi4fPHK5Pbz5tDkXEMXbjP7EgiTq924do0KNqA2oVrmx1FnN2++TDyITj4B7h7QdOPoOfvEFTc7GT3r1hd6LcWar8AWGDXVAh90PgziziLpHhj9/4fmsGFQ+CXD7pOgQ5jjQ0GRURTze9GU82zlpUHIun5o3Gx5ceetWhULo/JiUREHEemTzVPiIY/3oSdU4zjvJWMzdPyVsj45zbDqc0wd8D1NbEV2hvtlnxzm5tL5E5OrDf+v714xDiu8iQ0/xSy5TQ3l0gm0FRzkTRqWDYPz9QtBsDrv+0kKjbxzj8gIiIZ4+hfMLKOUXRb3KDeIOi9zHWLboDCtaDvKqj/KljcYe9sCH0Adv9mrG8XcSRJV+CPt+DHFkbR7V8AnpxutM9T0S1yExXeIv/xZvNylMvnz/m4JN74bSeaFCIikomSrxof5ie1hZhwyFkcnlkETT6ArLA7vqcPPPL+3xcZKkL8BZj5HEx7GmLPmp1OxHB8DYyqCxtHAXao9rTRLk+bA4rclgpvkf/w8XRnRNdqeHm4seJAFJPWnzA7kohI1nB6G4x5+O8P80DNZ40N1Io8aG4uMxSoBr1XQMPB4OYB+xcYo987ftXot5gnMQ4Wvg4TW8GlYxBQEJ6aCe1CIVsOs9OJODQV3s7OZoVjq41paMdWG8dy38rm8+ftFuUA+GThPg6eizU5kYjz6Tu/L51mdKLv/L5mRxFHZ02GlZ/B+CZw/qCxMdNTv0Hrr43dv7MqDy9o+Bb0+QvyVzXWvM95Hn7pBNFq0SeZ7OhfMKrO9RZ41XsYo9ylm5ibS8RJeJgdQO5D2DxY9CbEnLl+W0ABaP45hLQ1L5eL6FGnGCsORPHXwShemrKdOQPq4uPpbnYsEafx+6Hfr23EJXJbUQdhdl84s804rtAeWg3XTsj/lq8i9FpmtGhaORQOL4XQh+DRj43ixxnbqYnzSIyFpR/Alh+M48DC0PZbKNnY3FwiTkYj3rfh8H28w+bB9O43Ft0AMRHG7WHzzMnlQiwWC8M6VSaXrxf7z8YybPEBsyOJiLgOmw02joEx9Y2i2ycQHv8BOk1U0X0r7h5Qf5Ax9b5QLUiKhfkvw6R2cOm42enEVR1ZYWxy+E/RXfNZY5RbRbdIqqmd2F04ZDsxmxW+qXhz0X2NxRj5Hrgb3DRCe7+W7TvHcz9tAWDSsw/wcJlgkxOJOIeI2AisdivuFnfy++c3O46kg3R7TaPDYU5/OPaXcVyysbFGNKBA+gR1dTYrbBwNy/4HKVfB0xeafAi1eoGbxlQkHSTEwJJ3YdtPxnGOItD2eyjRwNxcIg4mNbWiCu+7cMjC+9hq+Kn13c/rsQCK18/4PFnAe3P28POGEwT7e7N44MME+XqZHUlExPnY7bBrurE5U2I0eGSDZv8zCkZNl069C0dg3otwYq1xXKQOtPsecpU0N5c4t8N/wryXja4CAA/0gUc+yNr7LYjchvp4u7q4c+l7ntzV2y3LUyqPH1Gxibw5c5dajImIpNaVC8ZSqNl9jKK7YE14fi080FtFd1rlKmlcZG/5pTHqfXKdsfnVuu+02aqk3tXLMHcATH7871Z+xaDn79BymIpukXSgwtsZ+eVN3/PkrrJ5uTOia1W83N1YGnaOXzedNDuSiIjzOLAIRj4E++YZrbEavwvPLtbIbHpwczMuXvRfDyUaQkqCMUX4h2YQud/sdOIsDi6BkbVh+2TAAg8+D8+vg2L1zE4m4jI01fwuHHKq+bU13hHAbV6+gIJa450Bxq8+yse/78PH040FL9anVB5dARa5nSVHlpCQkoCPhw/NSjYzO46kg7FbxxKXFIeflx99avS5+w8kxsLit2HbJOM4uBx0GAv5q2Rs0KzKbjf+rpe8C4kx4O4FDd6Eui+Du6fZ6cQRXb0Ei96Gnb8ax0Eljf0WitY2N5eIk9Aa73TkkIU3XN/VHLhl8d1hPFTulKmRsgKbzU73CZtYc/g8FQoEMLt/Xbw8NHFE5FYKDS90rZ1Y+CD1HHYFqXpNT6yD2f3g8gnAArUHQOP3wNMnU7JmadGnYcFAOLTEOM5fxSim8lUyNZY4mAN/wPyBEHeWa+/RRu+AV3azk4k4Da3xzgpC2kLnSRDwn11lLX+/pIeWGFe+JV25uVn4qnMVcmT3ZO+ZGL5aqhZjIiI3SEmEJe/Bjy2NojuwCPRcAI9+oqI7swQWhCenQ/sx4JMDInbC2IawYiikJJmdTswWfxFm9oYpXY2iO1dpY+nHo5+o6BbJQB5mB5D7ENIWyrUyRhXizl1f0z2pHeyeDkUeNHaKlXSVN8CHzzpUpt/krYxddZQGpYOpUyq32bFEHM5b9d4iNjEWf29/s6NIZjm7G2b1gcgw47ja0/DoUPBxoBljWYXFAlW6QolG8Psg2L8A/voM9s2Hx0KhQDWzE4oZ9i2ABa/AlUhjsKb2C9DobfDMZnYyEZenqea3ERoaSmhoKFarlYMHDzreVPM7WfstLH3PWNv17CIoWMPsRC5p8KxdTNl0inwBPiwaWJ8c2dViTERc222nmtussHYErPgUbMngGwxtvoVyLc0LK9fZ7bB3Nix8DeIvgMUd6r4EDd7SLISs4soF+ON12DPTOM5dFh4bCYVqmptLxMlpjXc6ctg13ndit8O0p42r24GFoe8qyB5kdiqXE5+UQutv13D0/BVaVMzHyKeqY1FLHBFxYbcsvC8cgTnPw6mNxnG51tBmBPhqJpDDuXIe/njjX8VXGWPtd+EHzM0lGWvvHPj9VYg/b4xy1x1obLqniy4i901rvLM6i8W4ihlUAqJPGdP+bDazU7mc7F4ejOhaDQ83C3/sOcuMLdo8SkSyELsdtkyA0fWNots7AB4bBV0mq+h2VL65oeME6PKLsTzt/EGj7diityEp3ux0kt7iomB6D5jRwyi684RAr2XQ5AMV3SImUOHtqnwCjc3XPHzg8FJY/aXZiVxSpUKBvNqsLAAfzt/LsfNXTE4kIpIJ7Db4pZOxVjT5ChSrD8+vhapPGhd/xbGVbw39N0CVJwE7bAiFUXXg+Bqzk0l6sNuNWQ0jH4SwOcbSgodfhz4roWB1s9OJZFkqvF1ZvkrQarjx/YpP4chyc/O4qD4Pl+ChEkHEJ1kZOHU7yVbNLhABKPd9OQKGBlDu+3JmR5H0FhdpXNR19zY2T+s+D3IUMTuVpEb2IGg/Cp76DQIKwqVjMLGVMSU5MdbsdJJWcZEwvRv89qyxnj9vRei9HBq/Cx7eZqcTydJUeLu6ak9B9e6AHWb2gmhNh05v7m4WhneuSoCPBzvDoxnx5yGzI4k4hLikOGKTYolLijM7iqSHq5eMLzBGvPNXNfYQqd0f3PRxwmmVbgr910ONnsbx5vEwso4u1jsbux12zYDQB4yd6908jM3zeq+AAlXNTiciqPDOGloMg3yVjSufM55RD88MUCBHNoZ2qAxA6MrDbDx6weREIuYrk6sMIcEhlMlVxuwocr8OL4ORdSiTnEgIbpTJURx6/Ql5NJvBJfgEGhvidZ9rzFyIPgk/t4d5L0JCtNnp5G5iz8LUp2BWL+PiWL5KRsHdaDB4qOOKiKPQruZ34ZS7mt/KxWMwpgEkRsODz0OLz8xO5JJem7GT37aGUzBHNha+XJ/AbJ5mRxIRSbukK7D0A9g8zjjOVQraj4VCalPpshLjYNlHsGmMcexfANp8A2UeNTWW3ILdDrumwR9vQsJlcPOEBm9AvVfAXZ8/RDKDdjWXmwUVh/ajje83joI9s8zN46I+bFuBormyc/ryVd6dswdd1xIRp3Vqs7Fj+T9F9wN9oe9qFd2uztsPWn4Bz/xhdEeJPQO/doZZfSH+otnp5B8xZ+DXLjC7r1F0568Cff8yCm8V3SIOSYV3VlKupdG7EYzpY1EHTY3jivy8PfimS1Xc3SzM33mG2dtPmx1JRCR1UpJg+ccwoRlcPGJsvNVtjlGMeWU3O51klqJ1oN9aqP2C0ft511QIfRDC5pmdLGuz22H7ZAh9CA4tBncvaPye0SYsbwWz04nIHWiq+V24zFTzf1hT4OfH4PhqCC4PvZeBl6/ZqVzOd8sO8dXSg/h5e7DwpfoUyaUPqyLiBCL3waw+cHaXcVy5C7T4ArLlMDWWmOzUZpg7AM4fMI4rtDf2j/ELNjdXVhMdDvNfhsN/GscFqsNjIyFPeXNziWRhqakVVXjfhcsV3gCx52DMwxB3Fip1hg5j1Xc1nVltdrqOXc/m45eoXiQH0/vWxsNdE0wka3ln2TtcTrhMDp8cfPLIJ2bHkTux2WDDSGNtrzURsgVB66+hwmM3nPbUrKc4H3+e3Nlz80uHX8zJKuZIToBVX8Cab8Buhey5jIsyFR/XZ4iMZrfDtkmw5F1IjDHa+DV625iN4O5hdjqRLE2FdzpyycIb4MQ6mNja+OXZ6iuo1cvsRC7n1MV4Wo5YTWxiCgOblGZgE+3sLFlLoeGFOB17moL+BQkfpFaGDuvSCZjTH06sMY5LN4O234F/vptO1WsqnNlhjH6f22Mcl20FrYff8v8XSQeXTxnLA4+uMI4L1YJ2IyFYnylEHIE2V0sHoaGhhISEUKtWLbOjZIyidaDJh8b3iwbD6a2mxnFFhYOy83H7igB8u+wQW09oUxoRcSD/rBUdVdcouj19jZZST05XESW3V6Cq0aqq4dvGLtoHfjd6R+/41fh/StKH3Q5bJsDIh4yi28MHmn0Mzy5W0S3ipDTifRcuO+INxj/q056G/QsgsDD0XQXZg8xO5XIGTt3OnB1nKByUjYUv1cffR7uNStaw+9xukm3JeLp5UilvJbPjyL/FRRlrRQ/8bhwXfsjofBFU/I4/phFvucG5vcZsiYgdxnGppkbrscBCZqZyfpeOG6Pcx1YZx4UfgnahkLuUqbFE5GYa8ZZ7Y7EYm3IElYDoU8aGOjab2alczkePVaRQzmycuniVD+buNTuOSKaplLcS1fNXV9HtaPYtMEbRDvxu7IjcZAg8s/CuRbfITfJWMHbTfuQDY93x4aXGbttbftTod1rYbLBpHIysYxTdHtng0aHG+1NFt4jTU+Gd1fkEQudJxhSmw0th9ZdmJ3I5AT6efNOlKm4WmLX9NHN3qMWYiJggIRpmPw/TnoL485C3ojFluN5AcHM3O504K3cPqD8I+q021h8nxcKCgTCprTFyK/fm4lH4qQ0sfA2Sr0CROvD8WqjdX+9PERehwlsgXyVoNdz4fsWncGS5uXlcUM1iQbzQuDQA787ZQ/ileJMTiUiWcmyVsZZ7569GT+Z6r0Dv5ZCvotnJxFUElzXWHz861BipPbYKRtaGjWM0m+5ObDbj7+jaXgvZjVZtPX+HXCXNTici6UiFtxiqPQXVuwN2mNnL6BUp6eqlxqWoViQHsQkpDJq2E6tN0/DEtW09s5X1p9az9Yw2bzRN8lVY9LYxkhZ9CnIWg2f+MDbX9PA2O524Gjd3Y4T2+bVQtB4kx8Mfb8DElnDhiNnpHM+FIzCxlfF3lBwPxerD8+vgwT7gpo/oIq5G72q5rsUwyFcZ4i/AjJ6QkmR2Ipfi4e7GN12q4uvlzqbjFxn9lz6EiGtrN7UddSbUod3UdmZHyZrObIexDWFDqHFc4xnotxaKPGRqLMkCcpWEHvOh5ZfGbvkn18OoOrDuO7BZzU5nPpsV1ocao9wn1xl/R62+gu7ztNeCiAtT4S3XefoY6719AiF8Myx9z+xELqdoLl+GtDOmdn699CA7Tl02N5CIuB5rCvz1BYxvAlH7wS8vPDnD2G3a28/sdJJVuLnBA72h/3oo0QhSEmDJu/BDM4jcb3Y685w/BD+2gMVvQ8pVKN7A+Duq1Uuj3CIuzsPsAOJggorDY6Nh6hOwcTQUfhAqdjA7lUt5vHpBVhyI5PddEQycup3fX6qPr7feiuJ6elfvTXRiNIHegWZHyTrOH4LZfeH039P7Qx6D1l+nW6tIvaaSajmLQrfZsP1nWPwOnN4CY+pDgzeh7svgnkVabP4zyr3iE+MihJc/NPsf1OhpdJkREZenPt534dJ9vO9k6Qew9hvw8jN2vQ0uY3YilxIdn0yLEas4E51A55qF+KJjFbMjiYgzs9lg83hY+r4xiuYTCC2/gkod9aFeHEf0aWPH80NLjOP8VYz+1PlcvOVg1AGj3/npLcZxycbQ5lvIUdjcXCJy31JTK95X4X3w4EFWrlxJZGQktv/sWPn++++n9WEdSpYtvK0p8PNjcHw1BJeH3svAy9fsVC5lw9ELPDFuA3Y7jHyqOi0r5Tc7kog4o+jTMLc/HF1pHJdoZBQzgQVNjSVyS3Y77JpubCiWcBncPKD+q1D/NfDwMjtd+rKmwPrvYMVQsCaCdwA8+ilUe1oXxERcRKYU3uPGjeP5558nd+7c5MuXD8u//gGxWCxs27YtLQ/rcLJs4Q0Qew7GPAxxZ6FSZ+gwVr8o0tkXi/YzcuURArN5smhgffIHZjM7kog4C7sdds+A31+DxGijhVOz/0HN57RWVBxf7DlY+Crsm28c5wkxLhgVrG5urvRyLgzmDoAzf38eLtUU2ozQBTERF5MphXfRokXp378/b775ZppCOossXXgDnFgHE1uD3WrsuFmrl9mJXEpSio2Oo9exKzya2iVy8UuvB3Fz08UNEbmL+IvGlN2wucZxwRrQfizkLmVqLJFUsdshbI5x8Sj+vNFjvs5L0HCwseGrM7ImG0v1/voCrEngHQgtPoMqT2jwQsQFpaZWTPMl8UuXLtGpU6e0/rg4i6J1jH6vAIsGX9+wR9KFl4fRYiybpzvrj15g3OqjZkcSSTf1JtSj1LelqDehntlRXMvBxTDyIaPodvOARu/Cs0sypeguNLwQliEWCg0vlOHPJVmAxQIV2sOAjVCxI9htRtE6uh6c3Gh2utQ7uwfGPwLLPzaK7jLNYcAGqPqkim4RSXvh3alTJ5YsWZKeWcRR1XkRyrU2folM72GMtEi6KRHsxwdtQgD4cskB9pyONjmRZBSrzc76IxeYu+M0649cwGpz7b0tj18+zpFLRzh++bjZUVxDYhzMfxl+7Qxx5yC4HPRaBg1eB3d1RkhPWe29ajrf3NDxB+j6q9H+7sIhmPAoLHobkuLNTnd31mRY+TmMbQgRO8EnhzED5YmpEFDA7HQi4iDS/Ju6VKlSvPfee2zYsIFKlSrh6XljO4iXXnrpvsOJg7BY4LGRMDYMLh6FWX3gyelaQ5iOutQqzIoDkSzee46Xpm5n7oC67DkdQ2RsAnn8fXigeBDumoLu1BbtiWDI/DAiohOu3ZY/0IcP2oTQvKJrbqwXlC2IRGsiQdnSp5VVlnZyg9Em7NJxwAK1B0Dj95x3Oq4Dy4rvVYdRrpUx027R27DzV9gQCgcWQrvvoZiDzpyJ2GVsbnh2t3FcthW0Hg7++czNJSIOJ81rvIsXL377B7VYOHrUNabMZvk13v92djeMb2L0n2z0DjR4w+xELuXSlSSaj1jFuZhEsnu5E59kvXafPvQ5t0V7Inh+8jb++4/tP5dSRj1dXa+t3FpKIqz4FNaOAOwQWBgeGwXF65sSp9DwQpyOPU1B/4KEDwo3JUNG0nvVgRxaaszwiDltHNfqZSx98/Y3NdY1KUmw+ktY/RXYUiBbELQcBhUf17RykSwkU9Z4Hzt27LZfrlB0h4aGEhISQq1atcyO4jjyVYJWw43vV3wKR5abm8fF5PT14olaRQBuKLoBzkYn8PzkbSzaE2FGNLkPVpudD+eH3fRBHrh225D5YZrKKjc7uwfGNTbWvGKHqk/B8+tMK7pdndVmZ4jeq46jdFPovwFqPGMcbx4PI+s4xmePMzuMaeV/fW4U3eXbGOvUK3VU0S0it3Vffbz/8c9DWFzwHxuNeN/CvBdh2yTIngv6roJAbbKTHqw2O/U+X37D9MZ/swD5An1Y9moDLFiw2e3Gl43r39v/873tP7fbrn9vtdmx//O93Y79Xz9jHN98ns3O38d/f3/t5+xY/85hv9V5f+e48fmuP5fNbvw7YrVd//6/j/nv82w2/j42Huffj2/915/5vz930322/5x3i7/Le3r8v/+OrP/+2X+ddy+m9H6I2iVzpd//UOK8bFZY9y0s/wRsyZA9t9GGqHxrs5O59Ij3+iMXeGLchruep/eqCY6uND57XD5pHFfrBs0+hmw5MjdHSqKxW/mar41uL9lzQcsvjQ3iXPAzsIjcXWpqxfvajWXSpEkMGzaMQ4cOAVCmTBlef/11unXrdj8PK46uxTDjau/ZXTCjJ/RcCB5eZqdyepuOXbxt0Q3GiEtEdAIh7y/OvFCSaSJjb//aSxZy8SjMfh5O/V0Alm1lFN1+webmygLu9T2o96oJSjSE59fDso9g0xjY/jMcXgZtvoEyj2ZOhtNbYc4AiNpnHFdobxTdvrkz5/lFxOmlufAePnw47733Hi+88AJ169bFbrezdu1a+vXrx/nz53nllVfSM6c4Ek8f6DwJxjaA8M2w9D1o8bnZqZxeen2Yc3ez4GYxZqC4W4zv3SwWLJZ/7rMY97kZt998H3//nPG9m8Vy42P+9/HduP6YFlL1+G7/Oue/j2/c/+/8//rzuF3/mf8+/q3uv/m5bnOe239+5h4ey93NyH2rx3G3WNh28hL9Jm+76+uWx9/1Nskavn44MYkxBHgHMKj2ILPjODa7HbZOhMXvQPIV8PI3/l1VG6JMc6/vQVd8rzoFbz9o+QVUeAzmvgAXjxg7/FfuAs0/g+wZtIljcgKsHGrMQrHbwDcYWn0FIe0y5vlExGWlufD+7rvvGDVqFN27d792W7t27ahQoQIffvihCm9XF1Qc2o+BKV1h42go/ICxoYik2b1+mPuhR00eKpHrtoWxOJamIfnIH+jD2eiEW64dBWPzvAeKu97O38PXD782LVmF9x3EnjWm0R76u0VnsfpGJ4kcRczNlcU8UDyI3H5enI9Luu05rvpedSpF60C/NbDyU1gfCrumwZEVfxfDbdP3uU5tNnYsP3/QOK7UCZp/Dr5aaiAiqZfmzdUiIiKoU6fOTbfXqVOHiAhtAJUllG0B9f6+wDLvJYg6aG4eJ/dA8SDyB/pwu9LZgvGhr2HZPPh6e5DNyx0fT3e8PNxwd7Oo6HZQ7m6Wa33ab/cKvdWinNrFZVV7Z8PIh4yi290bHv0Uus9T0W2CS/FJd904rUedYnqvOgKv7MYa7+eWQu6ycCUSpnczlr/FRd3/4ydfhSXvwoRmRtHtmwe6/AKPj1fRLSJplubCu1SpUkyfPv2m26dNm0bp0qXvK5Q4kUbvGqMzSXEwvTskXTE7kdO6U4H2z/EHbUL0oc8JNa+Yn1FPVydf4I2zGv65VrJ8fyTpsM+lw5ncYTKLnlrE5A6TzY7ieK5egpm9jULh6iXIX8XYrLL2AHBL86/mDOeqr2my1Ub/X7ZxKT6ZvP7e5A3wvuF+H0/jNZm2+RTxSSlmRJRbKVQT+q2G+q+Bxf3vC1kPwu7fjOUbaXFyI4yuB+u+M6aWV+5i7FjuAJsbiohzS/Ou5jNnzqRLly40adKEunXrYrFYWLNmDcuWLWP69Om0b98+vbOaQrua34PYczDmYYg7C5U6Q4exWpN4HxbtiWDI/LAbNlpTH2/XYLXZ2XTsIpGxCeTx98Fms9P9x01YbXbeblmOPg+XNDuiZIYjy41NmmLPGMVC/Vfh4de1SaWJ3puzh583nMDP24M5A+pQPLffDe/VMnn9aP3dGiKiE+haqzCfPV7Z7MjyXxE7jffVud3GcdlW0Ho4+Oe7t59PioflH8OGkYAd/PIZm7eVbZFRiUXEBaSmVryvdmJbt27l66+/Zt++fdjtdkJCQnj11VepVq1aWh/S4ajwvkcn1sHE1kZ7jVZfQa1eZidyav8t0B4oHqSRbhf107rjfDBvL24W+PGZB2hQRrtXu6ykePjzA9g01jgOKmlcqCxU09xcWdzUTSd5a9ZuLBYY160mTULy3vK8dUfO89T4jdjtMOqp6rSopAuhDiclyeh7/9cXRis+n0B4dOj1TQptVuPzStw58MtrrBd3czdumzvA6CoAUPUpePQTyJbT1D+OiDi+TCu8swIV3qmw9ltjh3N3L3h2ERSsYXYiEYdnt9t5c+Yupm8JJ8DHg3kv1KNYbl+zY0l6C98Ks/vAhcPG8QN9oMkQY62qmGbriYt0HbuBZKudV5uW4cVH7rxU7rM/9jP6ryMEZvNk0cD65A/MlklJJVXO7TUK6TPbjeNSTaBca1j1BcScuX6ef37IVwkOLQXs4F8A2n4LpZuaEltEnE+GFd4xMTHXHjAmJuaO57pKkarCOxXsdpj2NOxfAIGFjfWKGdXeQ8SFJKZY6Tp2A9tPXqZ0Hj9mD6iLn3eam044jGOXjmG1W3G3uFM8Z3Gz45jDmmyMvq3+ypgR5F8A2n0PpR4xO1marDy+ksSURLw9vGlYrKHZce7L2egE2ny/hqjYRFpUzMfIp6rfdZPKpBQbj49ax+7T0dQpmYvJzz2Im2YjOSZrCqz/DlYMBWvi3c+v1s0Y5fYJzPhsIuIyMqzwdnd3JyIigjx58uDm5nbLX1B2ux2LxYLVak19cgekwjuVEqJhbENjulappvDkdIfeKEjEUUTGGEXAuZhEmoXkZfTTNZz+A32h4YWutRMLHxRudpzMF7nfGOWO2GkcV+oELYc59fRVV3lNE5KtdBmznp3h0ZTL58/M5+vge48Xu45GxdHq2zVcTbbyVoty9GugvRkc2rl9MPZhsN6+TRzZc8Frh4xp5yIiqZCaWjFVQyrLly8nKMgYwVyxYkXaE4rr8gmEzpNgfBM4vBRWfwkN3jA7lYjDyxPgw+ina9BlzAaWhJ3j2+WHGNikjNmx5G5utWYUC2wcBX8OMUbasuWEVsOhYgez0wrGAME7s/ewMzyaHNk9Gdut5j0X3QAlgv34oE0Ib83azZeLD1C3ZG4qFdIoqcOKP3/nohsg/oLxPi5eP3MyiUiWlKrCu0GDBte+L168OIULF75p1Ntut3Pq1Kn0SSfOKV8l40Pm3P6w4lNj46CSjc1OJeLwqhXJySftK/L6b7v45s9DlMsXQPOK97gjrwNqX649lxIukdPHeUd47yhsHix688Y1o355IVsQRO0zjks1NaaW3+vOypLhflx7nJnbwnGzwPdPVKdIrtSvs+9SqzArD0SxaO9ZXp66nQUv1SO7l/MvD3FJcefS9zwRkTRK8xzg4sWLExUVddPtFy9epHjxLLqWT66r9hRU7w7YYWYviHbeKYkimalTzcL0rFMMgFen7+DguVhzA92H71p+x+QOk/mu5XdmR0l/YfNgevcbi24wPrxH7QN3b2j9DTw1Q0W3A1l7+DyfLDQuirzdsjz1SudO0+NYLBY+e7wS+QJ8OHr+Cv9bEJaeMSU9+d16l/o0nycikkZpLrz/Wcv9X3Fxcfj4+NxXKHERLYZBvsrGFK4ZPY02HyJyV++0Kk/tErm4kmSl96QtXI7Xe8eh2KzGSDd32CIlWw7j4uNdNuuSzHPqYjwDft2G1WanQ7WCPFfv/gYJcmT3YniXKlgsMGXTKRbtOZtOSSVdFa0DAQWA270XLRBQ8O9lIiIiGSfV86IGDRoEGFd733vvPbJnvz5Fy2q1snHjRqpWrZpuAcWJefoY673HNoDwzUarsRafm51KxOF5ursR+lR12n6/hhMX4nlxynZ+7FkLD3dtVOgQTqy7eaT7v+LOac2oA4lPSvn7IlYylQsF8mmHSnfdwfxe1CmZmz4Pl2DMX0d5a9YuqhbOQb5ADT44FDd3aP65MUMFCzdeMPv7/4Hmn2ljNRHJcKn+FLd9+3a2b9+O3W5n9+7d1463b9/O/v37qVKlChMnTsyAqOKUgopD+zHG9xtHw56Z5uYRcRJBvl6M7VaTbJ7urD50ni8WHzA7kvzj8ol7O09rRh2C3W7n9Rm72H82ltx+3ozpVgMfz/Qrsl5tWpZKBQO5HJ/MqzN2YLPdc7MYySwhbY2BgID8N94eUMC4PaStOblEJEtJ9Yj3P7uZP/PMM4wYMUIttuTuyraAeq/Amq9h3kuQtxIEa7dmkbsJKRDAl52qMODXbYxddZSQ/AE8Vq2g2bHuWdspbYmKjyI4ezDznphndpz7l5IE236C5R/f2/laM+oQRq48wu+7I/B0tzD66erkD8yWro/v5eHGN12r0vrbNaw9fIFxq4/SVy3GHE9IWyjX6uYuBBrpFpFMkuZ5i9988w0pKSk33X7x4kViYmLuK5S4oEbvQrH6kBQH07tBYpzZiUScQqvK+RnQyPgQ/+bMXewOjzY50b3bFrGNDeEb2Baxzewo98dmg13T4fuasPA1SLgMljt9WNeaUUexfP85vlxizBYZ0rYiNYsFZcjzlAz24/02IQB8ueQAe047z/s0S3FzN5Z/VOpo/FdFt4hkojQX3l27dmXq1Kk33T59+nS6du16X6HEBbl7QMcJ4JcPovbDglfArul4Ivfi1aZlaVwuD4kpNvr8vIWo2ESzI2UNdjscWASj68Gs3sYUc7+80OoreHw8xvrQ/64T1ppRR3EkKo6Xp+zAboenHizCkw8WydDn61qrMI9WyEuy1c5LU7cTn3Tz4ISIiGRdFrs9bdVPUFAQa9eupXz58jfcvn//furWrcuFCxfSJaDZYmJiCAwMJDo6WtPq08OJdTCxNditxofXWr3MTiTiFGISknksdC1Ho65Qq1hOfun1EF4e2mwtw5xYB38OgVMbjGOfQKg7EB7sC16+xm236uMdUNAourVm1FRmvV8uXUmi+YhVnItJ5IkHijC0Q6UMf04RETFPamrFNP8WSkxMvOVU8+TkZK5evZrWhxVXV7QONB1ifL9oMJzeam4eEScR4OPJuO418ff2YPPxSwyZv9fsSK7p7G74pRP82MIouj2yGXtUvLwT6g+6XnSDUVwP3AM9FsDjPxj/HbhbRbfJbDY7r0zdwdGoK+QP9GHkUzUy7SJVTl8vhneu+neLsZNqMSYiItek+TdRrVq1GDt27E23jx49mho1atxXqPR06tQpGjZsSEhICJUrV2bGjBlmR5LaL0C51mBNguk9IP6i2YlEnELJYD9GPGF8qP9l40l+3XjS7Eiu4+JRmNnLmFZ+aAm4eUDNZ+Gl7dDkQ8iW89Y/pzWjDmf40oMs2x+Jt4cbY7vVJNjfO1Ofv26p3PSpXwKAt2bt4lxMQqY+v4iIOKY0TzVfu3YtTZo0oVatWjzyyCMALFu2jM2bN7NkyRLq13eM3qURERGcO3eOqlWrEhkZSfXq1Tlw4AC+vr53/2E01TzDJETD2IbGh91STeHJ6eCmabMi9yJ0xWGGLT6Ap7uFKb0fyrANo7KE2LPw1xfGbuW2v2dxVewIjd6GXNqZ2tks3B1B/1+Mzfy+6VLVtC4ASSk2Ooxay57TMdQtlYufn30QN7f77xsuIiKOJVOmmtetW5f169dTuHBhpk+fzvz58ylVqhS7du1ymKIbIH/+/FStWhWAPHnyEBQUxMWLGmE1nU+g0TvTwwcOL4XVX5qdSMRp9G9YklaV85NstdNv8jbOXHbM5T0Td0wkdFMoE3dMNDvKza5eNtZwj6gKW34wiu7SzaDvauj4g4ru2xiycgiDFg9iyMohZke5yb6IGF6dvhOA3vWLm9p6z8vDjRFdq+Hj6cbawxcYv+aoaVlERMQxpHnEO72sWrWKYcOGsXXrViIiIpg9ezaPPfbYDeeMHDmSYcOGERERQYUKFfjmm2/SVNxv2bKFnj17smfPnnv+GY14Z7Dtv8Dc/oAFus2Cko3NTiTiFOKTUnh81Hr2RcRQqWAgM/rVxsfTsaY5FxpeiNOxpynoX5DwQeFmxzEkxcOmMbDma2PmDUDhB+GRD6BYXXOzOQGHfE0xNjVrG7qGUxevUr90bn7sWQsPd/NnUf268SRvz96Np7uF2f3rUrFgoNmRREQkHWXKiPe/Xb16lZiYmBu+7tWVK1eoUqUK33///S3vnzZtGgMHDuSdd95h+/bt1K9fnxYtWnDy5PW1jTVq1KBixYo3fZ05c32n2QsXLtC9e/dbrksXE1V7Cqp3B+zG+spox/kgJ+LIsnt5MLZbDXJm92T36WgGz9qNyddRHZs1GbZMgG+rwZ8fGkV3nhB4Yio8u1hFtxNLsdoY8Os2Tl28SpGg7Hz3RDWHKLoBnnjgxhZjV5OsZkcSERGTpHnEOz4+njfeeIPp06ffsnWY1Zr6Xy4Wi+WmEe8HH3yQ6tWrM2rUqGu3lS9fnscee4yhQ4fe0+MmJibStGlTevfuTbdu3e56bmLi9R65MTExFC5cWCPeGSk5AX5oCmd3QaFa0HMheHiZnUrEKaw7cp5uP2zCarPzbqvy9Pp7UydHMGvfLOKT48numZ0O5TuYE8Jmg72zYMUnxp4SADmKQKN3jQ3RtBlaqjjiiPdH88OYsPYY2b3cmd2/LmXz+Zsd6Qb/bjH25INF+LS9WoyJiLiKTBnxfv3111m+fDkjR47E29ub8ePHM2TIEAoUKMCkSZPS+rA3SEpKYuvWrTRr1uyG25s1a8a6devu6THsdjs9e/akcePGdy26AYYOHUpgYOC1r8KFC6cpu6SCp4+x3tsnEMI3w9L3zE4k4jTqlMzNu63KA/Dpwn2sPhRlcqLrOpTvwNOVnzan6Lbb4dBSGPswzHzOKLp9g6Hll/DCVqjSRUW3C5i5NZwJa48BMLxzFYcrusFoMfZVp6qAMfV88V61GBMRyYrSXHjPnz+fkSNH0rFjRzw8PKhfvz7vvvsun376Kb/88ku6hDt//jxWq5W8efPecHvevHk5e/befnGtXbuWadOmMWfOHKpWrUrVqlXZvXv3bc8fPHgw0dHR175OnTp1X38GuUdBxaH9GOP7jaNhz0xz84g4kZ51itGxRiFsdnjh1+2cuHDF7EjmOrkRJraCXzoafbm9A6Dxu/DSDnigt2bUuIgdpy4zeLbx+/ylxqVoXjG/yYlur17p3PR5+O8WYzPVYkxEJCvySOsPXrx4keLFiwMQEBBwbafwevXq8fzzz6dPur9ZLDe24LDb7Tfddjv16tXDZrPd83N5e3vj7Z25PT/lb2VbQL1XjE2P5r0EeStBcBmzU4k4PIvFwsePVeRwZBw7Tl2mz6StzOpfB1/vNP8T75zO7YVl/4ODfxjHHj5GoV1vEGRXyzVXEhmbQL+ft5KUYqNJ+bwMbOL4vytea1aWtYfPs/eMsfv6pGcfUIsxEZEsJM0j3iVKlOD48eMAhISEMH36dMAYCc+RI0d6ZCN37ty4u7vfNLodGRl50yi4uIhG70Kx+pAUB9O7QWKc2YlEnIKPpztjutUgj783B87FMmj6Dmw2czdbi02MJSYxhtjE2Ix9okvHYVZfGFXXKLot7lC9B7y4DZp9rKLbxSSmWHl+8jbOxiRQKo8fX3ep4hQF7L9bjK05fJ4f1hwzO5KIiGSiNBfezzzzDDt3Gv0yBw8efG2t9yuvvMLrr7+eLuG8vLyoUaMGS5cuveH2pUuXUqdOnXR5jtsJDQ0lJCSEWrVqZejzyH+4e0DHCeCXD6L2w4KBxlpNEbmrvAE+jO5WAy93NxbvPcd3yw+bmqd8aHkCPwukfGj5jHmCuEhY+Dp8VxN2TQXsUKE9DNgEbb+FQPP6OEvGsNvtfDhvL1tPXMLfx9jZ39/H0+xY96xUHj/eax0CwBeL97PndLTJiUREJLOkeR7iK6+8cu37Ro0asX//frZs2ULJkiWpUqXKPT9OXFwchw9f/3B47NgxduzYQVBQEEWKFGHQoEF069aNmjVrUrt2bcaOHcvJkyfp169fWqPfkwEDBjBgwIBrO9VJJvLLA51+hImtYfcMo8fuA73NTiXiFKoXycnHj1XkjZm7+PrPg5TP70+zCvnMjpW+EqJh7bewYRQk/72evWRjeOR9KFDN3GySoSZvPMmUTaewWOC7J6pRItjP7Eip9uQDRVh5IIqlYed4eep2FrxYn2xe2uhPRMTVpanwTk5OplmzZowZM4YyZYx1VUWKFKFIkSKpfqwtW7bQqFGja8eDBg0CoEePHkycOJEuXbpw4cIFPvroIyIiIqhYsSILFy6kaNGiaYkuzqJoHWg6BJa8C4sGQ4HqUKiG2alEnELnWoXZeyaan9af4JVpO5gzoC6l82b+bs8NijXgfPx5cmfPnT4PmHwVNo2DNcPh6iXjtoI1ockHUPzh9HkOuaN0f01TYePRCwyZtxeANx4tR8OyeTI9Q3qwWCx8/nhldp5axZGoK3z8exifqMWYiIjLS3Mf7+DgYNatW0fp0qXTO5NDSU1vNklndruxznvffAgsDH1Xaa2myD1Kttro9sNGNhy9SLFc2Zk7oB6B2Z1nSu4NrCmwYzKs/Bxizxi3BZeDxu9BuVZwj5ttivM6ffkqbb9bw4UrSbSpUoBvu1a9501WHdXqQ1F0+2ETAGO71XC9mSkiIllApvTx7t69Oz/88ENaf1zk7iwWaBcKQSUg+hTM6gOp2KFeJCvzdHcj9MnqFMyRjeMX4nlp6nasJm+2lmo2G+ydDSMfhPkvG0V3YGF4bBQ8vw7Kt1bRnQVcTbLS9+ctXLiSREj+AL54vLLTF90A9UsH07u+0R3mzZm7iFSLMRERl5bmEe8XX3yRSZMmUapUKWrWrImvr+8N9w8fPjxdApolNDSU0NBQrFYrBw8e1Ii3mc7uhvFNICUBGr0DDd4wO5GI09h7JprHR60jIdlG3wYlGNwigzY6S092OxxZDsuGQISxiSfZc8PDr0PNZ8BDLR+zCrvdzsBpO5i74wxBvl7Me6EuhXJmNztWuklMsdI+dB1hETHUL52bn55RizEREWeSmhHvVBfeR48epVixYjzyyCO3f1CLheXLl6fmYR2Wppo7iO2/wNz+gAW6zTI2UhKRezJ/5xlenLIdgBFdq9KuqgPv9h2+Bf78EI6vNo69/KHOi1C7P3hn/jp1MdfYVUf4dOF+3N0sTH7uQWqXzGV2pHR3ODKW1t+tISHZxrutytOrfgmzI4mIyD3K0MLb3d2diIgI8uQxNjXp0qUL3377rcv21Vbh7UDmvQjbJkH2XMZ678BCZicScRqfL9rPqJVH8PZwY+bzdahYMOO7NTwz9xkuxF8gV/Zc/NjuxzufHLkPln8M+xcYx+7eRjeDeoPA1/WKLWfV+KfGnLtyjry+eVneI2MvsP91MIpnftyEzQ5D2lagR51iGfp8Zpq84QTvztmDl7sbswfUoUIBdVMREXEGGbrG+791+h9//MGVK1dS+zAiqddiGOSrDPEXYEZPSEkyO5GI03itWVkalg0mMcVGn0lbOB+XmOHPufTIUuYfnM/SI0tvf9LlkzD7eRhVxyi6LW5Q7Wl4cSs8+omKbgdz8MJBwqLCOHjhYIY+z/HzV3jx123Y7NC5ZiG613btTiZPPViEpiF5SbLaeHnqDq4mWc2OJCIi6SzNm6v9I41LxEVSz9MHOk8Cn0AI3wxL3zM7kYjTcHezMKJrNUrk9uVMdAL9f9lGstXEzQrjouCPt+C7GrDzV7DboHxb6L/B2FQxR2Hzsomp4hJT6D1pCzEJKVQrkoP/PVbRJTZTu5N/WowF+3tzODKOTxaGmR1JRETSWaoLb4vFctMvQFf/hSgOJKg4tB9jfL9xNOyZaW4eEScSmM2Tsd1r4OftwaZjF/lofsZ+uN/ZbyeRr0Wys9/O6zcmxMCKT+HbqrBxFFiToERD6L0cuvwMwWUzNJM4NpvNzqBpOzgUGUcef29GP10Dbw93s2NliiBfL4Z3rgLA5A0nWRp2zuREIiKSnjxS+wN2u52ePXvi7W3sKpuQkEC/fv1u2tV81qxZ6ZPQJP/e1VwcTNkWUO8VWPM1zHsJ8laC4DJmpxJxCqXy+PNNl6r0/nkLP284QYUCAXR9oEiGPFeu7P+aJp6cAJvHw+qv4OpF47YC1eCRD6Bkowx5fnE+3y0/zJKwc3i5uzGmWw3yBviYHSlT1S8dTK96xRm/5hhvztxFlUL1yZPF/g5ERFxVqjdXe+aZZ+7pvB9/vMtGOk5Cm6s5KGsK/PyYsfNxcDnotQy8/cxOJeI0vl9+iC+XHMTT3cLUPg9Ro2hQxjyRNQV2ToGVn0FMuHFbrtLwyPtQvo36cDuZQsMLcTr2NAX9CxI+KDxdH3vJ3rP0+XkrAF90rEznmllzuUFiipXHQtexTy3GREQcXobuap7VqPB2YHGRMLo+xJ2FSp2gwzh9iBe5R3a7nQG/bmPh7rPk9vNm/ot1yR+YLT2fAPbNM3YqP//3RlwBBaHhYKjyBLinesKVOICMKrwPnYvlsdC1XEmy0rNOMT5sWyHdHtsZHTpntBhLTFGLMRERR5ahu5qLOAy/PNDpR7C4w+4ZxjRWEbknFouFYR2rUC6fP+fjEun381YSktNpac3RlTCuMQumP8GM83tZ4OUDzT6BF7dB9W4quuUG0fHJ9J60hStJVh4qEcQ7rcqbHcl0pfP6827rEAC+WHSAsDMxJicSEZH7pcJbnFvROtB0iPH9osEQvtXcPCJOxNfbg3Hda5Ijuyc7w6N5e/bu++tUcXor/NQWJrWDM9voZ0mks+Uq/bw9oM4LRmcCkX+x2uy8NHU7xy/EUzBHNkKfrI6nuz6aADz9YBGalP+nxdj29LswJiIiptBvN3F+tV8w1orakmFGD4i/aHYiEadROCg7oU9Wx93Nwqxtp5mw9njqHyTqIEzrBuMaw7G/wN0LHnwe/PIa92sJiNzGF4v389fBKHw83RjbvQa5/LzNjuQwjBZjlQj29+ZQZByf/L7P7EgiInIfNN/vNrSruROxWIy+v+f2wsWjMKsPPDkd3HRdSeRe1C2Vm7dblud/C8L4dOE+yuXzp26p3Hf/wcun4K/PYMfffbgtblC5KzR8C3IW5f08JYhLisPPSxsfuor3G7yfbq/p3B2nGfPXUQCGdaxChQKB9/2YriaXnzdfdapC9wmb+HnDCRqUCaZJSF6zY4mISBpoc7W70OZqTuTsHhjfBFKuQqN3oMEbZicScRp2u53XZuxi5rZwcmT3ZN6AehTJlf3WJ1+5YLQF2zwerInGbeVaQ+N3IY/W58rd7TkdTcfR60hIttGvQUnealHO7EgO7X8LwvhhzTGCfL1YNLA+efy1bENExBFoczXJmvJVhNbDje9XfApHlpubR8SJWCwWPmlfkSqFc3A5Ppk+P2/hSmLKjSclxsLKz2FEFdgQahTdxerDc39C119UdMs9OR+XSN+ft5KQbKNh2WBef7Ss2ZEc3hvNy1Iunz8XryTx2oxd2GwaMxERcTYqvMW1VH0SqncH7DCzF0Snb59ZEVfm4+nOmKdrEOzvzf6zsbw2Y6ex2VpKImwYBSOqwspPISkW8leBp2dBj/lQuJbZ0cVJJFtt9P9lG6cvX6V4bl9GdK2Gu3pU35W3hzvfPVENbw83Vh2M4sd1x82OJCIiqaTCW1xPi2GQrzLEX4AZPSElyexEIk4jX6APo5+ujqe7hcV7zvDnlK/huxqw6C2IPw9BJaHjj9B7JZR6RBunZTERsRGEx4QTERuRpp//34IwNh27iJ+3B+O61yAwm2c6J3RdpfP68+7frdY+/2M/+yLUYkxExJmo8BbX4+kDnSeBTyCEb4al75mdSMSp1CiSkwkPnmOR15s0PTgEok+Bf35oMwIGbISKHe5p88ISI0rg/bE3JUaUyITUkhlqjatF4a8LU2tc6mc5TNt8kknrTwDwdZeqlMrjn97xXN7TDxWlSfk8JFltvDRFLcZERJyJCm9xTUHFof0Y4/uNo2HPTHPziDiLY6thfBPqbxtIGbfTXLb78qX9aY48sQpq9AT3ex+hTLImXfuSrG3riUu8O2cPAIOalqGpduZOE6PFWGVy+xktxj5dqBZjIiLOQoW3uK6yLaDeK8b3814yeg2LyK2d2Q4/t4efWsPpLeCZHWu9VxmY7ye+T2xJr1/DiL6anKqHrJinItXyVaNinooZFFqcwdnoBPpN3kqy1U7zCvl4oVEpsyM5tVx+3nzVuQoAk9afYNm+cyYnEhGRe6HC+zZCQ0MJCQmhVi1tGuTUGr1r7LqcFAfTu0FinNmJRBzL+cPGXghjGxqdANw84YE+8NIO3Ju8z5fdHqZgjmwcO3+Fl6dux5qK3ZQXPb2IbX23sejpRRkWXxxbQrKVvpO3EhWbSNm8/nzVuQpu2kztvjUoE8yzdYsD8MZvu4iMTTA5kYiI3I0K79sYMGAAYWFhbN682ewocj/cPaDjBPDLB1H7YcFAUOt6EYg+bcwECX0A9s4GLFC5K7y4BVoOA39jKnBuP2/GdKuBj6cbKw9E8eWSA+bmFqdht9t5d84edp66TGA2T8Z2r4Gvt4fZsVzGPy3GLlxJ4nW1GBMRcXgqvMX1+eWBTj+CxR12z4DN481OJGKe+Iuw5D34rjps+wnsVijTAp5fCx3GQM5iN/1IxYKBfP54ZQBGrTzCvJ1nMjm0OKOJ647z29Zw3CwQ+mR1iubyNTuSS/HxdOfbv1uM/XUwiolqMSYi4tBUeEvWULQONB1ifL9oMIRvNTePSGZLjINVw2BEFVj3LaQkQJE68OwSeHIq5K1wxx9vV7UgfRsYu5O/8dtO9pyOzozU4qTWHT7Px78bG3+93bI89UrnNjmRayqT1593/m4x9plajImIODQV3pJ11H4ByrcBWzLM6GGM/Im4upQk2DgWvq0Gyz+GxBjIWwme+g2eWQhFHrznh3rj0XI0KBNMQrKNvj9v5UJc4h3Pf33J6/Sa14vXl7x+v38KcSKnLsYz4NdtWG122lcryHP1ipsdyaV1e6goj5QzWoy9PFUtxkREHJUKb8k6LBZoFwpBJYy+xLN6g81mdiqRjGGzws5p8H1N+ON1uBIJOYvD4z9A31VQuqnxnkgFdzcL33atRrFc2Tl9+Sr9f9lGsvX276Epe6bww/YfmLJnyv3+acRJxCel0HvSFi7FJ1O5UCBDO1TCksr/zyR1LBYLn3c0WowdPBfHULUYExFxSCq8JWvxCYTOP4NHNjj8J6z+0uxEIunLbocDf8DoejC7D1w+AX55odVweGEzVOoIbmn/pz8wuyfjutfE18udjccu8vGCsHQML87Mbrfz+oxd7D8bS24/L0Y/XQMfT3ezY2UJuf28+bKTsQ/DT+tPsHy/WoyJiDgai92uLZ7vJCYmhsDAQKKjowkICDA7jqSXHb/CnOcBC3SbBSUbm51I5P4dXwvLhsCpjcaxT6DRy/6BvuCVPV2famnYOXpP2gLA549XokutIjedc+D8AVJsKXi4eVA2d9l0fX4xx51e09AVhxm2+ACe7hZ+7f0QtYoFmZQy6xoyfy8/rj1OLl8vFg18mGB/b7MjiYi4tNTUiiq870KFtwub95Kxq3P2XMbU28BCZicSSZuIXbDsIzi81Dj2yAYP9YO6L0O2nBn2tN8uO8TwpQfxdLcwtU9tahTNuOcSx7Z8/zme+2kLdjt80r4iTz1Y1OxIWVJCspXHQtey/2wsDcsG82PPWprqLyKSgVJTK2qq+W2EhoYSEhJCrVq1zI4iGaXFF5CvMsRfgBk9jU2oRJzJhSPw27Mwpr5RdLt5QM3n4OUd0OTDDC26AV5oVIrmFfKRbLXTb/JWzkYnZOjziWM6EhXHy1N2YLfDkw8WUdFtIh9Pd0Z0rYaXhxsrD6jFmIiII9GI911oxNvFXTwGYxtAQjQ82A9afG52IpG7i4mAVV/AtklgSzFuq9gRGr0NuUpmapQriSl0GLmOA+diqVI4B9P6PKR1vVlITEIyj4Wu5WjUFWoWzcmvvR/Cy0PX9M3207rjfDBvL14ebsx7oS7l8unzi4hIRtCIt8i9CioO7ccY328cDXtmmptH5E6uXoKlHxitwbZMMIru0s2g72ro+EOmF90Avt4ejO1eg8Bsnuw8dZl35+zhn+u560+tZ+Xxlaw/tT7Tc0nG+HX3r4zfNp5fd/+KzWZn0LQdHI26Qr4AH0Y+XV1Ft4PoXrsojcoGk5Ri4+UpO9RiTETEAWjE+y404p1F/PkhrPkavPyg9woILmN2IpHrkuKNC0NrvzFmZwAUfgiafABF65ga7R9rDp2n+4SN2OzwQZsQnqlbnELDC3E69jQF/QsSPijc7IiSDv79mr5ScRnfLT+Ml4cbv/WrTeVCOcyOJ/9yPi6R5t+s4nxcEj3rFOPDthXMjiQi4nI04i2SWo3ehWL1ISkOpneDxDizE4mANRk2j4dvqxq7lSdEQ54K8MQ0eHaRwxTdAPVK5+btluUB+Pj3faw7fN7kRJKREpJtfLf8MACfdaikotsB5fbzZlinKgBMXHecFfsjTU4kIpK1qfAWAXD3gI4TwC8fRO2HBQONfsgiZrDZYNcM+L4W/P4qxJ2DHEWhwzjotxrKNgcH3Kn4uXrF6VCtIFabnQG/buOpir15q+5bDKg1wOxoks6irxqbUT5XrzgdqqsjhKNqVDYPPesUA+D133YSFZtobiARkSzMw+wAIg7DLw90+hEmtobdM6Dwg/BAb7NTSVZit8OhpUZrsHO7jdt880CDN6B6D/DwMjffXVgsFj7tUInDUXHsCo9mZ1gjZvWvQ3Yv/apxFba/r0fagXqlcjO4RTlT88jdvdWiHOuPXODAuVje+G0nE9RiTETEFBrxFvm3onWg6RDj+0WDIXyruXnEtdiscGw17P7N+K/tXxsenVgPP7aAXzsZRbd3ADR+z2gN9kBvhy+6/+Hj6c6YbjXI7efN/rOxvD5jF9pKxDWkWG1cjjdGut0tFr57ohoe7voY4eh8PN359gmjxdiKA1H8pBZjIiKm0DCEyH/VfgFObYR982FGD+i7CrIHmZ1KnF3YPFj0JsScuX5bQAF4aAAcXw0HFxm3efjAg32h7kCn/f8uf2A2Rj9dnSfGbeD33RGErAxgQKNSZseS+zT0j/0kWW1ggZy+XuT0dY6LQQJl8/nzdotyfDg/jE//2E/tkrkpm8/f7FgiIlmKLlWL/JfFAu1CIagERJ+CWb2NNbciaRU2D6Z3v7HoBuN4yTtG0W1xhxo94aXt0PQjpy26/1GzWBBD2lYE4MslB1i+/5zJieR+zNwazg9rjl079nDTVGVn06NOsWstxl6asl0txkREMpkKb5Fb8QmEzj+DRzY4/CesGmZ2InFWNqsx0s0dplt7ZIPn10ObEcYouIsYvrMDFwOe5YzXQF6esoPDkeoW4Ix2nrrM4NnGngN+3poo56wsFgtfdKxCbj8vDpyL5bM/9psdSUQkS1HhLXI7+SpC6+HG9yuHwpHl5uYR53Ri3c0j3f+VchWuuF6rn7NxZ4lNjsTdI5rYxBT6/LyFmIRks2NJKkTGJtD3560kpdhoUj6PCm8nF+zvzbCO/2oxdsD1/t0REXFUKrxvIzQ0lJCQEGrVqmV2FDFT1SeN3aSxw8xeEB1udiJxFvEXYfsvsPjtezs/zvWmYufzy0dB/4KUCS5MgUAfjkZdYeDUHVht2mzNGSSl2Og/eRtnYxIoGezL112qXntN8/nlMzuepFGjcv9qMTZjJ+fj1GJMRCQzWOzabvaOYmJiCAwMJDo6moCAALPjiBmSE2BCM4jYCYVqQc+FTrPDtGSyuCjYvwD2zYNjq8CWcu8/22MBFK+fcdlMtjs8mo6j15GYYqN/w5K80VxtqBzd4Fm7mbLpJP4+HswdUJcSwX5mR5J0kpBspd33azlwLpZGZYPVYkxEJI1SUytqxFvkbjx9oPMkY913+GZY+p7ZicSRxJyBjWON/u9flYEFA41lCbYUyFMBGrxl9OLmdh9qLRBQ0Ghl58IqFQrki46VARi58ggLdt1l+r2YavKGE0zZdBKLBb7tWk1Ft4vx8XRnxBNVr7UYm7T+hNmRRERcnhZridyLnMWg/RiY0hU2jobCD0DFx81OJWa5dMJoNxc2F8I33XhfgWpQvi2EtINcJY3b8lYwdjXHwo2brP1djDf/DNzcMyG4udpVLcjeMzGMXXWU12fsokRuP0IKaCaRo9l07CIfztsLwOuPlqVRuTwmJ5KMUC5fAINblGPI/DA+WbiP2iVzUSavWoyJiGQUTTW/C001lxv8+SGs+Rq8/KD3CgguY3YiySznD8O+uUZrsIgdN95X+EGj2C7fBnIWvfXP37KPd0Gj6A5pm2GxHY3VZqfnj5tYfeg8BXNkY/6L9QhSP2iHcebyVdp+v4bzcUm0rpyf756opinILsxut9Pzx838dTCKcvn8mTOgLj6ern8RUEQkvaSmVlThfRcqvOUG1hT4+TE4vhqCy0GvZeCtKZguyW6HqP3GqHbYPIjce/0+ixsUrft3sd363luA2azGLudx58AvrzG93IVHuoeuHkpMYgwB3gEMrj/42u3R8cm0DV3DiQvx1C6Ri0nPPYCnu1Y+mS0h2UrH0evYczqG8vkDmPl8bbJ73Tgxru/8vlxMuEiQTxBj2owxKamkp6jYRJp/s4oLV5J4pm4xPmhTwexIIiJOQ4V3OlLhLTeJi4TR9SHuLFTqBB3GgUaEXIPdDmd3XS+2Lxy6fp+bBxR/2Ci2y7UGv2DzcjqJQsMLcTr2NAX9CxI+6MaOAAfPxdI+dC1Xkqz0rFOMD9vqw76Z7HY7r0zbwZwdZwjy9WLugLoUDsp+03l3ek3FeS3ff45nJ24BYOIztWhYVssLRETuhTZXE8lIfnmg049gcYfdM2DzeLMTyf2w2eDUZljyLoyoAmMehtVfGUW3uxeUaQ7tRsJrh6DbbKj5jIrudFAmrz9fd6kKGP2Ep285ZW6gLG786mPM2XEGdzcLoU9Wv2XRLa6rcbm89KhtLJN5bcYutRgTEckA2lxNJC2K1oGmQ4xibdFgKFAdCtUwO5XcK5sVTm4w2n7tmw8xp6/f55ENSjeB8u2gzKPgo5kuaTWj0wwSrYl4u3vf8v5mFfIxsElpvvnzEO/O3kOpPH5UL5Izk1PKqoNRDP1jHwDvtSpP7ZK5TE4kZhjcsjzrj17g4Lk43vxtF+N71NT6fhGRdKTCWyStar8ApzYahduMHtB3FWQPMjuV3I41xVibv28e7FsAVyKv3+flZxTZIe2gVBPw8jUvpwupXbj2Xc95qXFpws7EsCTsHP1+3sr8F+uRN8AnE9IJwIkLV3hxynZsduhUoxA96hQzO5KYxMfTnRFdq9EudC3L9kfy84YTdK9dzOxYIiIuQ1PNRdLKYoF2oRBUAqJPwazexrRlcRwpSXBwCcwdAF+WNjbG2zLBKLp9AqHKE/DEVHj9CHScYBTeKrozlZubheFdqlImrx+RsYn0m7yVxBSr2bGyhLjEFHpP2kL01WSqFs7B/x6rqBHOLK58/gDeal4OgE9+38fBc7EmJxIRcR0qvEXuh08gdP7ZmJ58+E9YNczsRJJ81RjRntUHhpWCXzvB9slw9SJkzwXVe8DTM+G1w9B+NJRtAZ4aYTWTn7cHY7vVJMDHg+0nL/PenD1o38+MZbPZeXX6Dg6eiyPY35sx3WqojZQA8EzdYjQoE0xiio2XpmwnIVkXwkRE0oMKb5H7la8itB5ufL9yKBxeZm6erCgxDvbMghk94YuSMO0p2DUNEqPBLx/U6g095sOrB6Htt8Z0cg/1js5oB84fYG/kXg6cP3DXc4vl9uX7J6vjZoHpW8KZtP5EJiTMur5bfpjFe8/h5e7G6KdraHq/XGOxWBjWqTK5fL3YfzaWLxbd/f0rIiJ3pzXeIumh6pPGZl3bfoKZvaDfaggsZHYq15YQDQcWGWu2D/8JKQnX7wssbLT9CmkLhR4AN11jNMMjkx5JVeuph8sEM7hFeT5ZuI+PFoRRJq+/NvrKAEv2nuXrPw8C8L/HKlCjqDa0kxvl8ffhi46Vee6nLUxYe4yHy+RWizERkfukT6Mi6aXFF5C/ijGleUZPY32xpK/4i7DtZ/ilkzGyPbsP7F9gFN1BJaDuQOi9HAbuhuafQpGHVHQ7mV71i9O+WkGsNjv9f9nKqYvxZkdyKYfOxfLKtB0AdK9dlC61ipgbSBzWI+Xz0v1fLcYuqMWYiMh90Yi3SHrx9IHOk4w+0OGbYel70OJzs1M5v9hzRnEdNheOrwH7v9YbBpe7PrKdt6Kx4Z04jCcqPsGlhEvk9Ln3EVWLxcLQDpU4HBnH7tPR9Pl5KzOfr012L/26ul/RV5Pp8/NWriRZebB4EO+1Dkn1Y6TlNRXn9XbL8qw/coFDkXG8oRZjIiL3xWLXDjZ3FBMTQ2BgINHR0QQEqJ+v3IMDi2BKF+P7jhOg4uPm5nFG0aeNNm1hc+HkeuBf/0zlq2T02A5pC8FlTYsoGevM5au0/X4N5+OSaF05P989UU0f+O+D1Wbn2Ymb+etgFAVzZGPeC3XJ5Xfr/uoi/7YvIoZ2368lyWrjf+0q0E0txkRErklNrajC+zZCQ0MJDQ3FarVy8OBBFd6SOn8OgTXDjf7QvVdAcBmzEzm+S8chbJ5RbJ/ecuN9BWtcH9kOKmFKPMl8m45d5MlxG0ix2XmjeVn6NyxldiSn9dkf+xn91xF8PN34rV8dKhYMNDuSOJEf1hzjfwvC8PZwY8GL9Sid19/sSCIiDkGFdzrSiLekiTXF6Bl9fLUxHbrXMvD2MzuV4zl/CMLmGAX32V3/usNirM8u3xbKt4Echc1KKCabvOEE787Zg8UCE3rUolE5bfCUWvN2nuGlKdsBGNG1Ku2qFjQ5kTgbm81Oz4mbWXUwivL5A5gzoA7eHmo/JyKiwjsdqfCWNIuLhNH1Ie4sVOoEHcZpDbLdDpFhxqh22DyI2nf9PosbFKt3vdj2z2deTnEog2ftZsqmk/j7eDB3QF1KBOsi1r3aczqajqPXkZBso2+DEgxuUd7sSOKkImMSaD5iNRevJPFcveJp2iNARMTVqPBORyq85b6cWAcTWxsbgrX8Eh7obXaizGe3w5ntRtuvsHlw8cj1+9w8oUQDCGkHZVuBr1pHuZLmk5sTeSWSPL55WPT0ojQ/TlKKjSfHbWDLiUuUDPZl9oC6BPh4pmNS13QhLpG236/l9OWrNCgTzISetXB3u7+Lf+W+L8eZ2DMU8C/A/hf2p1NScRbL9p3juZ+MpUCTnn2Ah8sEm5xIRMRcqakV1WdHJCMVrQNNhxjfLxoM4VvNzZNZbDY4tQkWvwPfVIZxjWDN10bR7e4NZVtC+zHw+mF4eiZU766i2wXtidzD9rPb2RO5574ex8vDjVFP1yB/oA9Hoq7wytQd2Gy6ZnwnyVYb/X/ZxunLVymWKzvfdq1230U3QFxSHLFJscQlxaVDSnE2j5TPS7eHjBZjr87YqRZjIiKpoMJbJKPVfsGYOm1Lhhk9jF7UrshmhWOrYeHr8HUI/NAU1n8P0SfBM7sxqt1xArxxBJ6YAlW6QrYcZqeWDOTl7nXt634F+3szplsNvD3cWLY/kuFLD6ZDQtf18YIwNh67iK+XO+O61yQwu2YISPp4u2V5SuXxIyo2kTdn7kITJ0VE7o0ao4pkNIsF2oXCub1w8SjM6g1PzgA3F7juZU2GY6uMaeT7f4crUdfv8/KHsi2MnchLPgJe2c3LKaY4+vLRdH28yoVy8NnjlXhl2k6+X3GYkAIBtKyUP12fwxVM33yKn9afAODrLlW1A7Wkq2xe7nzbtRqPha7lz32RTN548toouIiI3J4Kb5HM4BMInX+G8U3g8J+wahg0fNPsVGmTkghHVlwvthMuX7/PJweUa20U2yUagof6BEv6al+tEHtPxzB+zTFenb6T4rl9KZ9f+2/8Y9vJS7w7x5ja/0qTMjSroE0KJf2FFAjgjeZl+fj3fXy8IIzaJYIolUcXeERE7sQFhtxEnES+itB6uPH9yqFweJm5eVIjKd7YGG1mL/iiJEzpAjt+MYpu32Co8Qx0m22s2X4sFMo8qqJbMsxbLcpRv3RuriZb6fPzFi5dSTI7kkM4F5NAv5+3kmS18WiFvLzYWH3PJeM8W7c49UvnJjHFxotTdpCYYjU7koiIQ1PhLZKZqj4J1XsAdqOIjQ43O9HtJcbC7t9gencYVhKmd4PdMyApFvzzwwN9oefv8OoBaPMNlGwM7lpHKhnPw92N756oRpGg7Jy6eJUBv24jxWozO5apEpKt9P15K5GxiZTJ68dXnavilg6bqYncjpubha86VSHI14t9ETEMW3TA7EgiIg5NU81FMluLLyBiB0TshOk94Jk/wOP+N59KF1cvwYFFxjTyw8vA+q8da3MUMXpsh7SDgjVdY426ZKixW8cSlxSHn5cffWr0SdfHzpHdi3Hda9J+5FrWHbnApwv3836brNlX2G63896cPew4dZnAbJ6M614TP2/9epeMlyfAh88fr0zvSVsYv+YYD5cJVosxEZHb0G9mkczm6QOdJ8GYh+H0FljyLrT8wrw8V84ba7XD5sKxv8CWcv2+XKX+LrbbQv6qxkZxIvfoo78+4nTsaQr6F0z3whugbD5/hneuSr/JW5mw9hghBQLoWKNQuj+Po/tp3XFmbA3HzQLfP1mNorl8zY4kWUjTkLw8/VARJm84yaszdrJ44MME+TrIxWQREQeiwlvEDDmLQfuxxlrpTWOgyINQ8fHMe/7Ys7BvvlFsn1gL9n9N080Tcn1kO095Fdvi0JpXzMdLj5Tm22WHeHv2bkrl8aNq4Rxmx8o0646c53+/7wNgcIvy1C+t0UbJfO+0DGHD0Yscjozjjd92Me7/7N13eBTl3sbx76YnpECAFEiAAFJCr0pTilJEqqJiA1ERBBVQsKACnqMcFBBLQNBXsIuiKCqCWChKL6EXwUAoCQktmxDS5/1jIRIhEGA3s9ncn+vigpmdnbk3T5bkt/OUB5ph0c8OEZECLIYWYLwkq9VKUFAQKSkpBAZq5lyxs18mwB9TwcsfHvkdKtZy3LVOHfyn2D64BjjvrR/e6J9iu8J1jssgpcoPe37gTPYZfD19ua3WbQ67Tl6ewaOfbGDJjqOEBnrz/fC2hAT6OOx6zuLgiXR6vvMHJ9Oz6dOkMlPvbOTwYqe42lRKnu1HUugTs5Ks3Dz+27s+92mJMREpBa6kVlThfRkqvMWhcnPg496wfwVUrAMP/wre/vY7//F9tvHaOxbAkY0FH4to8U838nLV7HdNEROkZmTTZ/pK9ial0bRKWT4ffAPeHu5mx3KY9Kwcbp+xip0JVupXDmTekNb4eLru65WS4f0Vf/PfH3fi4+nGD4+31RJjIuLyVHjbkQpvcbi0JHi3HaQlQoN+0Pe9a+venbTrn2L76NbzHrBA1da2u9p1boOgytccXcSZxB07Ta93/sCakcPdLSKZ2LeBS3Z3NQyDxz/fxA9bEihfxosFj7elcllfs2OJkJdnMGD2Wlb8dYzo8EDmD2vt0h+AiYio8LYjFd5SLA6sgjndwciFWydD80FwYCWkHQX/UFvB7FbILy+GAUe32bqQ71gAx85b0sXiDlHt/im2/UOK5/WImGTZnmQenL2WPAP+06se97eqZnYku5u+dC+vLdqNh5uFzx65gZZRwWZHEsl31JpB12nLOZmezSPtohjbvXSuNiAipYMKbztS4S3FZuU78PNYW7HsFwynk/95LLASdJ1k6xYOtmL78EbYebbYPhn3z7FunlCjg63Yrn2r7VwiJjiefpw8Iw83ixvl/coX23VnLtvHxJ924eFm4ZOHr+eG6sV3bUf7fVcSgz5ch2HAf3rX5/5iHke74cgGsnKz8HL3olmlZsV6bSk5luw4yiMfrQfg44daatI/EXFZKrztSIW3FBvDgPdvti0xdoGz3WU7jIUzJ2yTpKUc/OdhDx+oebOt2K7VBXyCiiWyyKVETI3IX07s0KhDxXZdwzB48otYFmw+QnAZLxYMb0NEOb9iu76j/J2cRq+YP0nNyKF/y0he7VP8XenNalMpecbO38qna+IJCfBmkZYYExEXdSW1opYTE3EWRh5YDxf2oO2v3//7zy7PMrYiO7on1LzFvpOyiZRgFouFSbc3ZF9yGtuPWHn04w3MG9IaX6+SO9Y0NSObRz5aT2pGDs2qlmNCz/ouOX5dXMcL3aNZ/fdx9iWf5pmvtzDrfi0xJiKlm5vZAUTkrAMrITXh8sdV7wB3fwZj9kG/2VCvj4pucUq31LiFHrV6cEuNW4r92r5e7sx6oDnly3ix/YiVMV9voaR28MrLMxg5N5Z9yacJC/Rhxn1N8fLQj29xbr5e7rx5dxM83S0s2XGUz9bGmx1JRMRU+skt4izSjhbtuCb3QZ3u4KlZjMW5ze41mwX9FzC712xTrl+5rC/T722Kh5uF7zcfYebyv03Jca3e+GUPv+xMwsvDjZn3NyMkwPXXKBfXUL9yEGO61AHgPz/sYG9SmsmJRETMo8JbxFn4h9r3OBHh+urlGdfDNqvypEW7WLo7yeREV+anrQm8/dteACb2aUCjyLLmBhK5Qg+1jaJtzQpkZOfx5BebyMzJNTuSiIgpXL7wTk1NpUWLFjRu3JgGDRrw3nvvmR1J5OKqtrbNXk5hY+AsEFjZdpyIFNl9N1Slf8tIDAMe/3wTfyeXjLtuuxKtPPXVZgAGtYni9mYRJicSuXJubham3NmIcn6ebD9iZcrPe8yOJCJiCpcvvP38/Fi2bBmxsbGsWbOGiRMncvz4cbNjiVzIzd22ZBhwYfF9drvr/wpfz1tELspisTChZ32aVS1HakYOgz/eQGpGttmxLulUehaDP9pAelYubWqW5/lb65gdSeSqhQb6MOn2hgDMWv43f/x1zOREIiLFz+ULb3d3d/z8bMvIZGRkkJubW2In2JFSILon3PkRBIYX3B9Yybb/3DreIiXAvd/cS5dPunDvN/eaHQUvDzdm3NeUsEAf9ialMXJuLHl5zvmzICc3j+GfbSL+RDqRwb68078pHu4u/+NaXFznemHcc30VAEZ9GcvJ01kmJxIRKV6m/yRfvnw5PXr0oFKlSlgsFr799tsLjpk+fTpRUVH4+PjQrFkzVqxYcUXXOHXqFI0aNSIiIoIxY8ZQoUIFO6UXcYDonjBiGwz4AW7/P9vfI7aq6JYSZ9n+Zfy872eW7V9mdhQAQgJ8mHl/M7w83PhlZxLTfnHOLq//+2kXf+w9hq+nO7Pub045rX8sLuKF7nWpXrEMSamZPFOCVxoQEbkaphfep0+fplGjRrzzzjsXfXzu3LmMGDGCsWPHsmnTJtq1a0e3bt2Ij/9nWYpmzZpRv379C/4cOXIEgLJly7J582bi4uL47LPPOHq0iLNHi5jFzR2i2kGDO2x/q3u5iF00iizLxD4NAHjrt70s2laEJfyK0TcbD/H+H3EATLmzEXXDA01OJGI/fl4evHV2ibGfdxzl87UHzY4kIlJsLIYTfdxosViYP38+vXv3zt93/fXX07RpU2bMmJG/r27duvTu3ZuJEyde8TWGDh1Kx44d6devX5GOt1qtBAUFkZKSQmCgfgESESmq1MxUDAwsWAjwDjA7TgEvf7+DD/6Mw8/LnW8ea02dMPP/f99y6BR3vLuKrJw8hneoydNdapsd6QLO3KZScsxavo9XF+7Cx9ONHx5vR80Qf7MjiYhclSupFU2/430pWVlZbNiwgc6dOxfY37lzZ1auXFmkcxw9ehSr1QrYvjDLly+ndu3Cf5nJzMzEarUW+CMiIlcuwDuAQO9ApyzQnr+1Dm1qlic9K5fBH23gVLq5402TUzN59OMNZOXk0alOCKNuqWVqnsI4c5tKyfFw2+q0qVmejOw8RszdRFZOntmRREQczqkL72PHjpGbm0toaMF1i0NDQ0lMTCzSOQ4dOsSNN95Io0aNaNu2LcOHD6dhw4aFHj9x4kSCgoLy/0RGRl7TaxAREefj4e7GO/2bEhnsS/yJdIZ/tomcXHN++c/KyWPoJxtISMmgesUyvHF3Y9zcCltWUKTkc3OzMKVfY8r6ebLtsJUpP+82O5KIiMN5mB2gKCyWgr+AGIZxwb7CNGvWjNjY2CJf67nnnmPUqFH521ar9bLFt2EY5OTkkJubW+TriJzP3d0dDw+PIn9fi8i1K1fGi/ceaE7f6Sv5Y+8xJv60ixdviy72HOO/3876AycJ8PbgvQeaE+jjWewZRIpbWJBtibFHP97AzOV/c2OtirSpqclvRcR1OXXhXaFCBdzd3S+4u52UlHTBXXB78fb2xtvbu8jHZ2VlkZCQQHp6ukPySOnh5+dHeHg4Xl6awVhcwzc7vyE9Ox0/Tz/61u1rdpyLqhMWyJR+jRj66Ub+7484osMDub1ZRLFd/9M1B/hsTTwWC7zVvwk1Kjr3WNepq6ZizbQS6B3IqFajLv8EkUvoUi+M/i2r8PnaeEZ9GcuiJ2/ULP4i4rKcuvD28vKiWbNmLFmyhD59+uTvX7JkCb169TIxmU1eXh5xcXG4u7tTqVIlvLy8dMdSrphhGGRlZZGcnExcXBzXXXcdbm5OPQpEpEie+OkJDqcepnJAZactvAG6NQjn8Y41efu3vTw3fys1Q/xpFFnW4dddt/8E477bDsDTnWvToU6Iw695raaumprfpiq8xR5evK0ua+KO83fyaZ79Zgvv3tdMv0uJiEsyvfBOS0tj7969+dtxcXHExsYSHBxMlSpVGDVqFPfffz/NmzenVatWzJo1i/j4eIYMGeLQXDExMcTExFyy+3hWVhZ5eXlERkbi5+fn0Dzi2nx9ffH09OTAgQNkZWXh4+NjdiSRUmXkzbXYmWDll51JPPrxBhY83oaQAMe9D4+cOsPQTzaQk2fQvWE4j7Wv4bBriTizc0uM9Zn+J4u3H+WLdQfp37KK2bFEROzO9MJ7/fr1dOjQIX/73PjqAQMGMGfOHO666y6OHz/Oyy+/TEJCAvXr12fhwoVUrVrVobmGDRvGsGHD8qeIvxTdnRR70PeRuJr/dvwvp7NOU8arjNlRLsvNzcIbdzWmd8yf7Es+zWOfbOSzR27Ay8P+78uM7Fwe/XgDx9KyqBMWwOt3NNQdPinV6lcO4unOtZn40y5e/n4HLaOCnX7YhYjIlXKqdbyd0aXWZsvIyCAuLo6oqCjdoZRrpu8nEfP9nZxGr5g/Sc3IoX/LKkzs28Cu5zcMg1Ffbmb+psOU8/NkwfC2RAaXnB5TEVMj8ruaHxp1yOw44kLy8gzu+781rNx3nAaVg/h6aGuHfPAlImJPLrOOt4iISHGqXtGft/o3wWKBz9fG88nqA3Y9///9Ecf8TYdxd7MQc0/TElV0iziSm5uFqXfalhjbejiFKUu0xJiIuBYV3k4gN89g1b7jfBd7mFX7jpObZ14nhIEDB9K7d+8rft748eNp3LixXTKcPHmS+++/P38t9fvvv59Tp07Z5dwiIpfToXYIY7rUAWD8gu2s+fu4Xc674q9kXl24E4Cxt9altZZOEikgLMiH//VtCMCs5X+zcu8xkxOJiNiPCu9CxMTEEB0dTYsWLRx6nUXbEmg76Tf6v7eaJ7+Ipf97q2k76TcWbUtw6HWd2T333ENsbCyLFi1i0aJFxMbGcv/995sdS0RKkSE3VadHo0rk5Bk89ulGDp86c03nO3D8NMM/20SeAbc3jeDBNtXsE1TExXStH8bdLSIxDBj15WZOns4yO5KIiF2o8C7EsGHD2LFjB+vWrXPYNRZtS2DoJxtJSMkosD8xJYOhn2x0WPE9b948GjRogK+vL+XLl+fmm2/m9OnTjB8/ng8//JDvvvsOi8WCxWJh6dKlADzzzDPUqlULPz8/qlevzosvvkh2djYAc+bMYcKECWzevDn/eXPmzAEgJSWFwYMHExISQmBgIB07dmTz5s2FZtu5cyeLFi3i/fffp1WrVrRq1Yr33nuPH374gd271e1MpCSJmBqBZYKFiKnFty62vVgsFl67vSHR4YEcP53Fox+v50xW4atcXMrpzBwGf7SBlDPZNIosyyt96msyNZFLeKlHNNUrlCHRmsFz32xF0xGJiCtQ4W1HhmGQnpVTpD+pGdmMW7Cdi/0oObdv/IIdpGZkF+l8Rf2hlJCQQP/+/Rk0aBA7d+5k6dKl9O3bF8MwePrpp7nzzjvp2rUrCQkJJCQk0Lp1awACAgKYM2cOO3bs4M033+S9997jjTfeAOCuu+7iqaeeol69evnPu+uuuzAMg+7du5OYmMjChQvZsGEDTZs2pVOnTpw4ceKi+VatWkVQUBDXX399/r4bbriBoKAgVq5cWeS2EBG5Vr5e7sx6oBnBZbzYdtjKs99sueICIC/P4KkvN7P7aCoVA7yZeV8zfDzdHZRYxDX4eXnw5t1N8HS3sGh7InPXHTQ7kojINTN9OTFXciY7l+iXFtvlXAaQaM2gwfifi3T8jpe74Od1+eZMSEggJyeHvn375i/J1qDBP7P2+vr6kpmZSVhYWIHnvfDCC/n/rlatGk899RRz585lzJgx+Pr64u/vj4eHR4Hn/fbbb2zdupWkpCS8vb0BmDx5Mt9++y3z5s1j8ODBF+RLTEwkJCTkgv0hISEkJiZe9vWJiPNoGt6UyKBIKvpVNDvKVYso50fMPU257//W8F3sEepVCmTwjUVfc/ud3/eyaHsinu4W3r2vKWFBJXvFAldoUykZGkQE8VTn2vzvp11MOLvEWHUtMSYiJZgK71KmUaNGdOrUiQYNGtClSxc6d+7MHXfcQbly5S75vHnz5jFt2jT27t1LWloaOTk5l50yf8OGDaSlpVG+fPkC+8+cOcO+ffsKfd7FumAahqGumSIlzIL+C8yOYBetapTnpduiGbdgO//7aRe1wwK5qdblC88lO44ydckeAP7Tqz7NqgY7OqrDuUqbSskwuF11lu1OZtXfx3nyi1gtMSYiJZoKbzvy9XRnx8tdinTs2rgTDJx9+fHjcx5sQcuoy/+y5lvErovu7u4sWbKElStX8vPPP/P2228zduxY1qxZQ1RU1EWfs3r1au6++24mTJhAly5dCAoK4osvvmDKlCmXvFZeXh7h4eH548TPV7Zs2Ys+JywsjKNHj16wPzk5mdDQ0Mu+PhERR3igVVV2HLEyd/1BHv9sIwuGt6VahTKFHr83KZWRc2MBuP+GqtzdskoxJRVxHW5uFqbe1Yiu01aw9XAKU5fs4dludcyOJSJyVfSxYSGuZlZzi8WCn5dHkf60u64i4UE+FHYP1wKEB/nQ7rqKRTrfldwNtlgstGnThgkTJrBp0ya8vLyYP38+AF5eXuTmFpxA6M8//6Rq1aqMHTuW5s2bc91113HgQMG1bS/2vKZNm5KYmIiHhwc1a9Ys8KdChYsvo9OqVStSUlJYu3Zt/r41a9aQkpKSP95cRKS4WSwWXu5dj6ZVymLNyOGRj9aTlplz0WNTzmTzyEcbSMvMoWVUMC/1iC7mtCKuIzzIl//1tQ2Jm7l8Hyv3aYkxESmZVHgXwtGzmru7WRh39pexf5fM57bH9YjG3c2+3avXrFnDq6++yvr164mPj+ebb74hOTmZunXrArbx21u2bGH37t0cO3aM7OxsatasSXx8PF988QX79u3jrbfeyi/Uz6lWrRpxcXHExsZy7NgxMjMzufnmm2nVqhW9e/dm8eLF7N+/n5UrV/LCCy+wfv36i+arW7cuXbt25ZFHHmH16tWsXr2aRx55hNtuu43atWvb9WshInIlvD3cefe+ZoQGevNXUhoj58aSl1dwsrXcPIMnPt9E3LHTVAryYfq9TfF0149akWvRrUE4dzU/u8TY3M2cStcSYyJS8ui3ARN1rR/OjItMthMW5MOM+5rStX643a8ZGBjI8uXLufXWW6lVqxYvvPACU6ZMoVu3bgA88sgj1K5dm+bNm1OxYkX+/PNPevXqxciRIxk+fDiNGzdm5cqVvPjiiwXOe/vtt9O1a1c6dOhAxYoV+fzzz7FYLCxcuJAbb7yRQYMGUatWLe6++272799/yW7jn376KQ0aNKBz58507tyZhg0b8vHHH9v9ayEijvX4wse575v7eHzh42ZHsZuQQB/eva8ZXu5uLNlxlDd+2cOqfcf5LvYwq/Yd57XFu1i2JxkfTzdmPdCcCv7eZke2q56f96TV/7Wi5+c9zY4ipcxLPaKJ0hJjIlKCWQz9z3VJVquVoKAgUlJSLphMLCMjg7i4OKKiovDxufqZanPzDNbGnSApNYOQAB9aRgXb/U63OD97fT+JOIuIqREcTj1M5YDKHBp1yOw4dvXV+oOMnrel0MffvLsxvRpXLsZExcOV21Sc35ZDp+g7fSU5eQaTbm/AXS00d4KImOtSteK/6Y63E3B3s9CqRnl6Na5MqxrlVXSLiDi5AJ9Lz03qrZmXReyuYURZnupsG3Y2fsEO/k5OMzmRiEjR6TcDERFxiBUPruCvx/9ixYMrzI5iV7l5BhO+31Ho4xZgwvc7yM1ThzIRext8Y3VuqB7MmexcRsyNJSsnz+xIIiJFosK7EFczq7mIiPwjqlwUNYNrElXu4ksVllRr406QkJJR6OMGkJCSwdq4E8UXSqSUcHez8MZdjQny9WTLoRTe+GWP2ZFERIpEhXchHD2ruYiIlExJqYUX3VdznIhcmfOXGHt3mZYYE5GSQYW3iIjIFQgJKNrkh0U9TkSuXLcG4dzZPEJLjIlIiaHCW0REHGLp/qUs3ruYpfuXmh3FrlpGBRMe5ENh02BagPAg2woVIuI443rUy19i7Pn5WmJMRJybCm8REXGI+765j66fduW+b+4zO4pdubtZGNcjGuCC4vvc9rge0VqhQsTBynh7MO2uxni4WVi4NZGv1muJOxFxXiq8RURErlDX+uHMuK8pYUEFu5OHBfkw476mdK0fblIykdKlUWRZRnWuBcD477cTd+y0yYlERC7u0guRioiIXKVRrUZhzbQS6B1odhSH6Fo/nFuiw1gbd4Kk1AxCAmzdy135Trert6mUTI/eWINlu5NZE3eCEV9sYt7Q1ni6696SiDgXi6EBMZdktVoJCgoiJSWFwMCCv2hkZGQQFxdHVFQUPj6aREeujb6fRERErs6RU2fo9uYKUs5k81j7GozpWsfsSCJSClyqVvw3fRxYiGJdxzsvF+JWwNZ5tr/zch1/zUIMHDiQ3r17X/Hzxo8fT+PGje2S4ZVXXqF169b4+flRtmxZu5xTREREXFelsr682se2xNiMZftYte+4yYlERApS4V2IYlvHe8cCmFYfPrwNvn7I9ve0+rb9pVRWVhb9+vVj6NChZkcRERGREqJ7w3D6NTu7xNiXsaSkZ5sdSUQknwpvM+1YAF8+ANYjBfdbE2z7HVR8z5s3jwYNGuDr60v58uW5+eabOX36NOPHj+fDDz/ku+++w2KxYLFYWLp0KQDPPPMMtWrVws/Pj+rVq/Piiy+SnW37gTZnzhwmTJjA5s2b8583Z84cAFJSUhg8eDAhISEEBgbSsWNHNm/efMl8EyZMYOTIkTRo0MAhr19ERK5OamYq1kwrqZmpZkcRuajxPetRrbwfCSlaYkxEnIsmV7Mnw4Ds9KIdm5cLP40BLvYDwQAssOgZqN4e3Nwvfz5PP7BcfkKfhIQE+vfvz2uvvUafPn1ITU1lxYoVGIbB008/zc6dO7FarcyePRuA4GDbOrQBAQHMmTOHSpUqsXXrVh555BECAgIYM2YMd911F9u2bWPRokX88ssvAAQFBWEYBt27dyc4OJiFCxcSFBTEzJkz6dSpE3v27Mk/t4i4poYzGpKQlkC4fzhbhm4xO47YQd2YuhxOPUzlgMocGqWlm8T5lPH24M27m3D7jJX8uDWBmzZU5M7mkWbHEhFR4W1X2enwaiU7ncyw3Qn/XxF/WDx/BLzKXPawhIQEcnJy6Nu3L1WrVgUocGfZ19eXzMxMwsLCCjzvhRdeyP93tWrVeOqpp5g7dy5jxozB19cXf39/PDw8Cjzvt99+Y+vWrSQlJeHt7Q3A5MmT+fbbb5k3bx6DBw8u2msTkRLpxJkTHEs/hre7t9lRRKQUaRRZlpG31OL1xbsZv2A7LasFU63C5X9HEhFxJBXepUyjRo3o1KkTDRo0oEuXLnTu3Jk77riDcuXKXfJ58+bNY9q0aezdu5e0tDRycnIuO3Pfhg0bSEtLo3z58gX2nzlzhn379l3zaxER51atbDV8PHwI8w+7/MEiInY05KYaLN9jW2LsSS0xJiJOQIW3PXn62e48F8WBlfDpHZc/7t55ULV10a5dBO7u7ixZsoSVK1fy888/8/bbbzN27FjWrFlDVFTURZ+zevVq7r77biZMmECXLl0ICgriiy++YMqUKZe8Vl5eHuHh4fnjxM+n2cpFXN8fg/4wO4KIlFLubhbeuKsxXactZ/OhFKb9sofRXbTEmIiYR4W3PVksReruDUCNjhBYyTaR2kXHeVtsj9foWLQx3lfAYrHQpk0b2rRpw0svvUTVqlWZP38+o0aNwsvLi9zcgsuZ/fnnn1StWpWxY8fm7ztw4ECBYy72vKZNm5KYmIiHhwfVqlWz62sQERERuZRKZX2Z2Lchwz7byPSl+2hbowJYLCSlZhAS4EPLqGDc3S4/P46IiD2o8DaLmzt0nWSbvRwLBYvvsz8Euv7P7kX3mjVr+PXXX+ncuTMhISGsWbOG5ORk6tatC9jGby9evJjdu3dTvnx5goKCqFmzJvHx8XzxxRe0aNGCH3/8kfnz5xc4b7Vq1YiLiyM2NpaIiAgCAgK4+eabadWqFb1792bSpEnUrl2bI0eOsHDhQnr37k3z5s0vmjE+Pp4TJ04QHx9Pbm4usbGxANSsWRN/f3+7fj1ERETEdXVvGM7vuyOYt+EQ9/7fGvLO+3UrPMiHcT2i6Vo/3LyAIlJqaLBLIWJiYoiOjqZFixaOu0h0T7jzIwj813/4gZVs+6N72v2SgYGBLF++nFtvvZVatWrxwgsvMGXKFLp16wbAI488Qu3atWnevDkVK1bkzz//pFevXowcOZLhw4fTuHFjVq5cyYsvvljgvLfffjtdu3alQ4cOVKxYkc8//xyLxcLChQu58cYbGTRoELVq1eLuu+9m//79hIaGFprxpZdeokmTJowbN460tDSaNGlCkyZNWL9+vd2/HiIiIuLa2tSsAFCg6AZITMlg6CcbWbQtwYRUIlLaWAwtcHhJVquVoKAgUlJSLphMLCMjg7i4OKKiovDx8bn6i+Tl2sZ8px0F/1DbmG473+kW52e37ycRJzFh6QRSMlMI8g5iXPtxZscRO4iYGqHlxKREyc0zaDvpNxJSMi76uAUIC/Lhj2c6qtu5iFyxS9WK/6au5s7AzR2i2pmdQkTErt7b+F5+kabCW0TMsDbuRKFFN9gG+iWkZPDE5xtpUqUcIYE+hAZ4ExbkQ2igDz6euhEiIvahwltEREREXFJSauFF9/l+3JrIj1sTL9gf6OORX4SHBPgQFuSd/+/QQFuBXsHfW0uVichlqfAWERGH+O7u78jKzcLL3cvsKGInalMpaUICijZ0q3uDMNzd3DhqzeCoNYNEawYZ2XlYM3KwZqSx52haoc+1WKB8GW9bUR7gQ0igD2GBtsI8NNCHkEBvwgJ9KOfnhZu6s4uUWiq8RUTEIZpVamZ2BLEztamUNC2jggkP8iExJaOwxVsJC/Lhrf5NC4zxNgyD1MwcjqZkcNSamV+MJ1nPbqdmcDQlg6TUTHLyDI6lZXIsLZNtWAvN4uluyb9THhroU6AoDz2vUPf39sBiUYEu4mpUeIuIiIiIS3J3szCuRzRDP9lY2OKtjOsRfcHEahaLhUAfTwJ9PLkuNKDQ8+flGZxIzyIxJYOk1H+K9KPWgv8+lpZFdq7B4VNnOHzqzCUz+3m5FyjEbV3b/xl3brur7q3x5yIljApvEREREXFZXeuHM+O+pkz4fkeBidbC7LCOt5ubhQr+3lTw9waCCj0uOzeP5NTMgnfN8++i//Pv1Iwc0rNyiTt2mrhjpy957bJ+noQG+BAaZJsQ7t/FemigDxX8vfDQ+HMRp6DCW0REHGLr0a1k52Xj6eZJg9AGZscRO/hhzw+cyT6Dr6cvt9W6zew4IkXWtX44t0SHsTbuBEmpGYQE+NAyKrjYlhDzdHejUllfKpX1veRx6Vk5JFltBfrRfxXlSWe7uCemZJCZk8ep9GxOpWez+2hqoedzs0AF//OL8YsX6OX8PNW9XcTBVHiLiIhDdPu0m9Z8djFDfhiiNpUSy93NQqsa5c2OcUl+Xh5Uq+BBtQplCj3GMAysZ3Lyi/CjVttY86PWs9upmSSd3ZebZ5CUmklSaiZbD6cUek4vdzdCzhbjYWfHnl+sQPf3VukgcrX07hERERERKSEsFgtBfp4E+XlS6xLjz3PzDI6fzixw1/yo1VaUn//v46ezyMrN49DJMxw6eenx5/7eHraiPMCHsCCf/H+HBtqWWgs5O/7c26P4xp/n5hmm9WQQuRIqvAWApUuX0qFDB06ePEnZsmWL7bpz5sxhxIgRnDp16qrPsX//fqKioti0aRONGze+6DFmvT6R0mxAowGcyjhFWZ+yZkcRESl13N1ss6iHBPhQv3Lh488zc3JJTs28aFF+fpf31Mwc0jJzSEvO4e/kS48/Dy7jRUjAP3fQQwO9CTl71/zcdnl/72sukBdtS7hg7H64HcbuiziCCu9CxMTEEBMTQ25urtlR7K59+/Y0btyYadOmmR3FqVSrVo0DBw7w+eefc/fddxd4rF69euzYsYPZs2czcODA/ONHjBjBiBEjLjjX8ePHuffee9myZQvHjx8nJCSEXr168eqrrxIYGFgMr0bEfK90esXsCCIichneHu5ElPMjopzfJY87nZmTP1t7Un4393+WVjt6dlb3rJw8TpzO4sTpLHYlFj7+3N3NQkV/7/OKcu+z3dwLFuhBvhcff75oWwJDP9l4wTJxiSkZDP1kIzPua6riW5yKCu9CDBs2jGHDhmG1WgkKKvxTwtIsOzsbT09Ps2PYVWRkJLNnzy5QeK9evZrExETKlCl8vNW/ubm50atXL/773/9SsWJF9u7dy7Bhwzhx4gSfffaZI6KLiIiIOEwZbw+qV/SnekX/Qo8xDINT6dn5RfhRa8Gi/Nzyaslnx58nnr2rDpcYf+7hVrAoD/AhJNCLd5f+fdG12Q1sS8VN+H4Ht0SHqdu5OA2tL1DKDBw4kGXLlvHmm29isViwWCzs378///ENGzbQvHlz/Pz8aN26Nbt3785/bPz48TRu3JgPPviA6tWr4+3tjWEYpKSkMHjwYEJCQggMDKRjx45s3rw5/3mbN2+mQ4cOBAQEEBgYSLNmzVi/fn2BXIsXL6Zu3br4+/vTtWtXEhIS8h/Ly8vj5ZdfJiIiAm9vbxo3bsyiRYsu+ToXLlxIrVq18PX1pUOHDgVe46Xce++9LFu2jIMHD+bv++CDD7j33nvx8Cj651TlypVj6NChNG/enKpVq9KpUycee+wxVqxYUeRziIiIiJQkFouFcmW8qBMWyE21KnJn80ge73Qd/+3dgPceaM6C4W1Z8/zN/PXKrax5vhMLhrfhvQea89/e9Xm8Y03ubB7BTbUqUicsgHJ+tps7WTl5HDxxhnX7T/LjlgQ++DOO//20m1NnsgvNYQAJKRmsjTtRTK9c5PJ0x7uUefPNN9mzZw/169fn5ZdfBqBixYr5henYsWOZMmUKFStWZMiQIQwaNIg///wz//l79+7lyy+/5Ouvv8bd3TZxRvfu3QkODmbhwoUEBQUxc+ZMOnXqxJ49ewgODubee++lSZMmzJgxA3d3d2JjYwvcKU9PT2fy5Ml8/PHHuLm5cd999/H000/z6aef5meeMmUKM2fOpEmTJnzwwQf07NmT7du3c911113wGg8ePEjfvn0ZMmQIQ4cOZf369Tz11FNF+vqEhobSpUsXPvzwQ1544QXS09OZO3cuy5Yt46OPPrqqrznAkSNH+Oabb7jpppuu+hwiIiIirsDdzZI/U/qlZGSfG39e8I75hgMnWH/g1GWv88QXm2hTozyNIsvSKLIs0eGB+HgW38RvIudT4e0AU1dNZeqqqQB80vcT2ldrn/9Y3Mk42s1uB0CfOn14+9a3Czy35+c92ZiwEeCCpVrmxM7hhd9eAOCtbm/Rt27fK84WFBSEl5cXfn5+hIWFXfD4K6+8kl8cPvvss3Tv3p2MjAx8fGz/MWZlZfHxxx9TsWJFAH777Te2bt1KUlIS3t7eAEyePJlvv/2WefPmMXjwYOLj4xk9ejR16tQBuKBYzs7O5t1336VGjRoADB8+PP9DgXPne+aZZ/K7f0+aNInff/+dadOmERMTc8FrmDFjBtWrV+eNN97AYrFQu3Zttm7dyqRJk4r0NRo0aBBPPfUUY8eOZd68edSoUaPQSdsup3///nz33XecOXOGHj168P7771/VeURKoo4fduTo6aOElgnltwG/mR1HRERKGB9PdyKD/YgMLjj+fNW+4/R/b/Vln5+cmsm3sUf4NvYIAB5uFuqEB9AowlaIN4ooS80Qf3VHl2KhwtsBrJlWDqceBiAzJ7PAY7lGbv5jJzNOXvDc5PTk/Mf/7XTW6fzH0rPT7Rk5X8OGDfP/HR5um5AiKSmJKlWqAFC1atX8ohtsXdPT0tIoX77guphnzpxh3759AIwaNYqHH36Yjz/+mJtvvpl+/frlF9kAfn5+BbbDw8NJSkoCwGq1cuTIEdq0aVPg/G3atCnQnf18O3fu5IYbbigwEUerVq2K/DXo3r07jz76KMuXL+eDDz5g0KBBRX7uv73xxhuMGzeO3bt38/zzzzNq1CimT59+1ecTKUn2HN/D4dTDpGQUPnZPRETkSrWMCiY8yIfElIyLjvO2ACGB3kzs04Cth61sOXSKzYdOcSwti22HrWw7bOXTNfEA+Hm506ByUH4h3igyiMplfS86oZvItVDh7QCB3oFUDqgMgLeHd4HH3C3u+Y+V8yl3wXMr+lXMf/zfyniVyX/Mz/PSM09erfO7gJ/7DycvL++fDP+aYCwvL4/w8HCWLl16wbnOLds1fvx47rnnHn788Ud++uknxo0bxxdffEGfPn0uuOa56xqGccG+8xmGUeh/iP9+7pXy8PDg/vvvZ9y4caxZs4b58+df9bnCwsIICwujTp06lC9fnnbt2vHiiy/mf6gh4sr8vfwJ8ArA36vwiXikZFGbiogzcHezMK5HNEM/2YgFChTf5347nNCzHh3rhtKxbihg+/3w8KkzbDmUwuaDp4g9eIqth1NIz8plTdwJ1pw3HryCvxcNI/4pxBtFlKVcGa9ie33imlR4O8CoVqMY1WrURR+LKhd1QRfy8y3ov6DQxwY2HsjAxgOvNR5eXl52WyatadOmJCYm4uHhQbVq1Qo9rlatWtSqVYuRI0fSv39/Zs+enV94X0pgYCCVKlXijz/+4MYbb8zfv3LlSlq2bHnR50RHR/Ptt98W2Ld69eW7I51v0KBBTJ48mbvuuoty5S78gORqnPtAIDMz8zJHiriGXcN3mR1B7ExtKiLOomv9cGbc1/SCdbzDClnH22Kx5C+bdmsD22O5eQb7ktOIPXiKzQdtd8V3JaRyLC2L33Yl8duupPznVwn2O3tXPIjGkWWpVykIXy+NF5eiU+FdClWrVo01a9awf/9+/P39CQ4Ovupz3XzzzbRq1YrevXszadIkateuzZEjR1i4cCG9e/emXr16jB49mjvuuIOoqCgOHTrEunXruP3224t8jdGjRzNu3Lj8sdazZ88mNjY2f/K1fxsyZAhTpkxh1KhRPProo2zYsIE5c+Zc0euqW7cux44dw8/v0j0LDh8+TGxsbIF9VapUYfXq1Rw9epQWLVrg7+/Pjh07GDNmDG3atLnkBxQiIiIiUjRd64dzS3QYa+NOkJSaQUiADy2jgos8ZtvdzUKt0ABqhQZwZ/NIwDah244Eq60QP3iKLYdS+PvYaeJPpBN/Ip3vNx8p8NzGZ++IN4woS61QfzzctWiUXJwK71Lo6aefZsCAAURHR3PmzBni4uKu+lwWi4WFCxcyduxYBg0aRHJyMmFhYdx4442Ehobi7u7O8ePHeeCBBzh69CgVKlSgb9++TJgwocjXeOKJJ7BarTz11FMkJSURHR3NggULLjqjOdgK36+//pqRI0cyffp0WrZsyauvvnrFY7X/PW79YiZPnszkyZML7Js9ezZVq1blvffeY+TIkWRmZhIZGUnfvn159tlnryiDiIiIiBTO3c1CqxqX/52tqHw83WlapRxNq/zT4zElPZsth8/dFU8h9uApklMz2ZlgZWeClc/XHjz7XDfbePGIsjSMLEvjiLJEBmu8uNhYjGsdEOvirFYrQUFBpKSkEBgYWOCxjIwM4uLiiIqKyp/1W+Rq6ftJRERExPkZhkGiNYPNB1PYfOifO+NpmTkXHFvOz5NGkbY74o0jg2gYUZYK/t4XOauURJeqFf9Nd7xFRMQh3ln7DqmZqQR4BzC85XCz44gdjP55NCczTlLOpxyvd37d7DgiIqawWCyEB/kSHuRL1/q25Xnz8gz+PnY6f6z45oOn2JmQysn0bJbuTmbp7uT850eU8y0wcVv9ykGU8VZZ5up0x/sydMdbiou+n8TVREyN4HDqYSoHVL7kpJJScqhNRUSKLjMnl10JqWw+ZJtFfcuhFPYlp/Hv6svNAteFBNgK8bPLmtUOC8BT48Wdnu54i4iIiIiImMjbw91WSEeW5YFWtn3WjGy2HUoh9tAptpztqp6QksHuo6nsPprKl+sPnX2uG/UqBZ63vnhZqpX303jxEkyFt4iIOMQHvT4gIycDHw/14BAREQEI9PGkdc0KtK5ZIX/fUWtG/jjxc93UrRk5bIw/xcb4U/nHBfl60jAiKL8QbxQRREigfsaWFCq8RUTEITrX6Gx2BBEREacXGuhD53phdK73z3jxAyfS2XzQ1kV986FTbD9iJeVMNiv+OsaKv47lPzc8yOefQjwyiAaVgwjw8TTrpcglqPAWERERERFxEm5uFqIqlCGqQhl6N6kMQFZOHnuOptoK8bN3x/ckpZKQkkFCSiKLticCYLFAjYr+NDpvFvU64QF4e7ib+ZIEFd6FiomJISYmhtzcXLOjiIiIiIhIKebl4Ub9ykHUrxzEfTdUBSAtM4dth1PyC/HYg6c4fOoMe5PS2JuUxtcbbePFvdzdqFspkMYRtkK8UWRZqlcog5ubxosXJxXehRg2bBjDhg3Ln6lORESuTEJqArlGLu4Wd8IDws2OIyIi4lL8vT24oXp5bqhePn/fsbRMthw6RezBlPylzU6lZ9v+ffAUcACAAG8PGp69I267O16WsCCNF3ckFd4iIuIQLd5roaWnREREilEFf2861gmlY51QAAzD4OCJM8SenbRt88FTbDuSQmpmDn/uPc6fe4/nPzckwJtGkbYivFFEWRpEBBHkq/Hi9qLCWwBYunQpHTp04OTJk5QtW7bYrjtnzhxGjBjBqVOnrvoc+/fvJyoqik2bNtG4ceOLHmPW6xMRERERMYvFYqFKeT+qlPejZ6NKAOTk5rHnaFr+DOqbD6Ww52gqSamZLNlxlCU7juY/v3qFMvkzqDeMLEt0eCA+nhovfjVUeJdC7du3p3HjxkybNs3sKE6lWrVqHDhwgM8//5y77767wGP16tVjx44dzJ49m4EDB+YfP2LECEaMGHHR8z355JP88ccfbNu2jbp16xIbG+vYFyDiZLpf150TGScI9gk2O4rYidpURKTk83B3I7pSINGVAunfsgoA6Vk5bD9izS/ENx88RfyJdP4+dpq/j51m/qbDtue6WagbHkijs93UG0eWpUZFf9w1XvyyVHjLVcvOzsbT07W6n0RGRjJ79uwChffq1atJTEykTJkyV3QuwzAYNGgQa9asYcuWLfaOKuL0ZvaYaXYEsTO1qYiIa/Lz8qBFtWBaVPvng9UTp7PYcugUmw/+s7748dNZbD2cwtbDKUA8AGW83Glw/vrikWWpFOSDxaJi/HxuZgeQ4jVw4ECWLVvGm2++icViwWKxsH///vzHN2zYQPPmzfHz86N169bs3r07/7Hx48fTuHFjPvjgA6pXr463tzeGYZCSksLgwYMJCQkhMDCQjh07snnz5vznbd68mQ4dOhAQEEBgYCDNmjVj/fr1BXItXryYunXr4u/vT9euXUlISMh/LC8vj5dffpmIiAi8vb1p3LgxixYtuuTrXLhwIbVq1cLX15cOHToUeI2Xcu+997Js2TIOHjyYv++DDz7g3nvvxcPjyj6neuuttxg2bBjVq1e/oueJiIiIiJgtuIwX7WuH8OTN1/HBwBasf+Fm/nimAzH3NGXwjdVpGRWMn5c7p7NyWf33CWYu/5vHPt1Im//9RotXfuWhOet469e/WLYnmVPpWVd07dw8g1X7jvNd7GFW7TtObp7hoFdZfHTHu5R588032bNnD/Xr1+fll18GoGLFivmF6dixY5kyZQoVK1ZkyJAhDBo0iD///DP/+Xv37uXLL7/k66+/xt3dNr6je/fuBAcHs3DhQoKCgpg5cyadOnViz549BAcHc++999KkSRNmzJiBu7s7sbGxBe6Up6enM3nyZD7++GPc3Ny47777ePrpp/n000/zM0+ZMoWZM2fSpEkTPvjgA3r27Mn27du57rrrLniNBw8epG/fvgwZMoShQ4eyfv16nnrqqSJ9fUJDQ+nSpQsffvghL7zwAunp6cydO5dly5bx0UcfXdXXXERERESkpLNYLESU8yOinB/dG9pWK8nNM9iblMbmg6eIPXSKLYdOsSshlWNpmfy6K4lfdyXlP79qeb9/7opHBFGvUhC+XheOF1+0LYEJ3+8gISUjf194kA/jekTTtX7JXSVFhbcDTF01lamrpl72uKbhTVnQf0GBfT0/78nGhI2Xfe6oVqMY1WrUFWcLCgrCy8sLPz8/wsLCLnj8lVde4aabbgLg2WefpXv37mRkZODjY1teICsri48//piKFSsC8Ntvv7F161aSkpLw9vYGYPLkyXz77bfMmzePwYMHEx8fz+jRo6lTpw7ABcVydnY27777LjVq1ABg+PDh+R8KnDvfM888k9/9e9KkSfz+++9MmzaNmJiYC17DjBkzqF69Om+88QYWi4XatWuzdetWJk2aVKSv0aBBg3jqqacYO3Ys8+bNo0aNGoVO2iYiIiIiUlq5u1moHRZA7bAA7mwRCUBGdi7bj1jPdlO3jRmPO3aaA8fTOXA8nQWbj/zz3NCA/EK8UWRZ/k5OY/hnm/j3/e3ElAyGfrKRGfc1LbHFtwpvB7BmWjmceviyx0UGRV6wLzk9uUjPtWZaryrb5TRs2DD/3+Hhtm/qpKQkqlSxTbxQtWrV/KIbbF3T09LSKF++fIHznDlzhn379gEwatQoHn74YT7++GNuvvlm+vXrl19kA/j5+RXYDg8PJynJ9umY1WrlyJEjtGnTpsD527RpU6A7+/l27tzJDTfcUGBcSatWrYr8NejevTuPPvooy5cv54MPPmDQoEFFfq6I/KPfV/1IPp1MxTIV+arfV2bHETtoPqs5iWmJhPmHsX7w+ss/QURESh0fT3eaVS1Hs6rl8velpGez5bCtEI89O2Y8OTWTHQlWdiRY+Xztpc9pABZgwvc7uCU6rERO5qbC2wECvQOpHFD5ssdV9Kt40X1FeW6gd+BVZbuc87uAnytc8/Ly8vf9e4KxvLw8wsPDWbp06QXnOrds1/jx47nnnnv48ccf+emnnxg3bhxffPEFffr0ueCa565rGMYF+85nGEahEzb8+7lXysPDg/vvv59x48axZs0a5s+ff03nEymtVh1clb+Ot7iGxLTEIn04LCIicr4gP0/aXVeRdtfZ6h/DMEi0ZvxTiB88xaaDJ8nIziv0HAaQkJLB2rgTtKpRvtDjnJUKbwe42m7gwAVdzx3By8uL3Nxcu5yradOmJCYm4uHhQbVq1Qo9rlatWtSqVYuRI0fSv39/Zs+enV94X0pgYCCVKlXijz/+4MYbb8zfv3LlSlq2bHnR50RHR/Ptt98W2Ld69eoivZ5zBg0axOTJk7nrrrsoV67c5Z8gIiIiIiJFYrFYCA/yJTzIN7/r+LebDjNibuxln5uUmnHZY5yRCu9SqFq1aqxZs4b9+/fj7+9PcPDVr8d6880306pVK3r37s2kSZOoXbs2R44cYeHChfTu3Zt69eoxevRo7rjjDqKiojh06BDr1q3j9ttvL/I1Ro8ezbhx4/LHWs+ePZvY2Nj8ydf+bciQIUyZMoVRo0bx6KOPsmHDBubMmXNFr6tu3bocO3YMPz+/Sx53+PDhC9bnrlKlCsHBwezdu5e0tDQSExM5c+ZM/nHR0dF4eXldUR6RkmjfE/vMjiAiIiIlRGigT5GOCwko2nHORoV3KfT0008zYMAAoqOjOXPmDHFxcVd9LovFwsKFCxk7diyDBg0iOTmZsLAwbrzxRkJDQ3F3d+f48eM88MADHD16lAoVKtC3b18mTJhQ5Gs88cQTWK1WnnrqKZKSkoiOjmbBggUXndEcbIXv119/zciRI5k+fTotW7bk1VdfveKx2v8et34xkydPZvLkyQX2zZ49m4EDB/Lwww+zbNmy/P1NmjQBIC4u7pK9A0RchbeHt9kRREREpIRoGRVMeJAPiSkZF0yuBrYx3mFBPrSMuvqbhmayGNc6INbFWa1WgoKCSElJITCw4LjqjIwM4uLiiIqKyp/1W+Rq6ftJRJxdxNSI/HH7h0YdMjuOiIi4mEXbEhj6iW2Fp/OL1HMzOznbrOaXqhX/za2YMomIiIiIiIgUqmv9cGbc15SwoII3ocKCfJyu6L5S6mouIiIO8dnWz0jPTsfP0497GtxjdhwREREpAbrWD+eW6DDWxp0gKTWDkABb9/KSuITY+VR4i4iIQ4xZMia/W7IKbxERESkqdzdLiVwy7FLU1VxERERERETEgXTHW0REHOK1W17L72ourkFtKiIicnVUeNtBXl6e2RHEBej7SFyNupe7HrWpiIjI1VHhfQ28vLxwc3PjyJEjVKxYES8vLyyWkj3oX4qfYRhkZWWRnJyMm5sbXl5eZkcSERERERE7UuF9Ddzc3IiKiiIhIYEjR46YHUdKOD8/P6pUqYKbm6ZeEBERERFxJSq8r5GXlxdVqlQhJyeH3Nxcs+NICeXu7o6Hh4d6TIhLyczJzP+3t4e3iUnEXnYf201OXg4ebh7UrlDb7DgiIiIlhgpvO7BYLHh6euLp6Wl2FBERp1HjrRr5y4kdGnXI7DhiB50+6qQ2FRERuQrq0yoiIiIiIiLiQLrjLSIiDtEqshXJp5OpWKai2VFERERETKXCW0REHOKrfl+ZHUFERETEKajwvgzDMACwWq0mJxERETFXXkYeZECeZ55+LoqISKl37mfhuZrxUixGUY4qxQ4dOkRkZKTZMURERERERMQJHTx4kIiIiEseo8L7MvLy8jhy5AgBAQFOu9ST1WolMjKSgwcPEhgYaHYcsRO1q2tSu7oetalrUru6JrWra1K7uqaS0K6GYZCamkqlSpVwc7v0vOXqan4Zbm5ul/30wlkEBgY67TelXD21q2tSu7oetalrUru6JrWra1K7uiZnb9egoKAiHaflxEREREREREQcSIW3iIiIiIiIiAOp8HYB3t7ejBs3Dm9vb7OjiB2pXV2T2tX1qE1dk9rVNaldXZPa1TW5WrtqcjURERERERERB9IdbxEREREREREHUuEtIiIiIiIi4kAqvEVEREREREQcSIW3iIiIiIiIiAOp8BYRERERERFxIBXeTmDp0qVUq1bNlGt/++23xMfHm3JtV6d2dU1qV9ekdnVNalfXozZ1TWpX16R2LUiFt5OaPn06UVFR+Pj40KxZM1asWOGQY7777jumT5/usNchBdmjzZYvX06PHj2oVKkSFouFb7/99oJzqF2Llz3arCjnUbsWL3u0q96vzsVe78WiHKN2LR72alO9V52Lvf5/Bb1XnYm92rWkvl9VeDuhuXPnMmLECMaOHcumTZto164d3bp1K/Cpjb2O6d27N999912xvr7Syl5tdvr0aRo1asQ777xT6LXUrsXHXm2m96tzsVe76v3qXOz1XtT71XnYq031XnUu9vr/Ve9V52Kvdi2x71dDTPf7778bVatWzd9u2bKlMWTIkALH1KlTx3j22Wftfkx6errh5+dn7N692x4vRc7jqHY9H2DMnz//gv1qV8e5mnY9X2FtpveruRzVrkU5Ru3qOP9u1/Ndy3tR71fzOKpNi3IetanjXE27FuUYvVfN5ah2LcoxztiuuuPtZLKystiwYQOdO3cusL9z586sXLnSrscA+Pr6cssttzjfJ0Iuxp5tVhRq1+JhrzbT+9W52PO9WBRqV+ehn6+uRz9bSy+9V0s3Z2xXFd5O5tixY+Tm5hIaGlpgf2hoKImJiXY95pxevXo51TelK7J3mxWF2tXx7NVmer86F3u/F4tC7eoc9PPV9ehna+ml96o4W7uq8HZSFoulwLZhGBfss9cxPXr0YPXq1Rw/fvxaY8tl2KvNikLtWnzs1WZ6vzoXe7VrUahdnYt+vroe/WwtvfReLb2crV1VeDuZChUq4O7ufsEncUlJSfmf2NnrmHMOHz6Mv78/gYGB9n45cpa926wo1K6OZ6820/vVudj7vVgUalfnoJ+vrkc/W0svvVfF2dpVhbeT8fLyolmzZixZsqTA/iVLltC6dWu7HnPOd999x6233oqnp6e9X46cZe82Kwq1q+PZq830fnUu9n4vFoXa1Tno56vr0c/W0kvvVXG2dvUwO4BcaNSoUdx///00b96cVq1aMWvWLOLj4xkyZIjdjwHbAvPPPPNMsb2+0spebZaWlsbevXvzt+Pi4oiNjSU4OJgqVark71e7Fg97tZner87FXu2q96tzsdd7Ue9X52GvNtV71bnY6/9XvVedi73atcS+X82ZTF3Od7Gp9mNiYoyqVasaXl5eRtOmTY1ly5Zd8Dx7HBMfH294eXkZKSkpdn1N4rh2/f333w3ggj8DBgzIP0bt6jhX065FabOinEft6jiOale9X83173a113uxKMeoXR3DUW2q96q5rqZd9bPV+TmqXUvq+1WFtxO41Bp3jvbWW28ZnTt3NuXark7t6prUrq5J7eqa1K6uR23qmtSurkntWpDGeJdy3333HT179jQ7htiZ2tU1qV1dk9rVNaldXY/a1DWpXV2TM7arxniXcr/88ovZEcQB1K6uSe3qmtSurknt6nrUpq5J7eqanLFddcfbCVSrVo0RI0aYHUPsTO3qmtSurknt6prUrq5Hbeqa1K6uSe1akMUwDMPsECIiIiIiIiKuSne8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTCW0RERERERMSBVHiLiIiIiIiIOJAKbxEREREREREHUuEtIiIOMXDgQCwWC0OGDLngscceewyLxcLAgQOLP5iLad++PSNGjHC5a4mIiLgSFd4iIuIwkZGRfPHFF5w5cyZ/X0ZGBp9//jlVqlQxMVnRZGVlmR1BREREXIAKbxERcZimTZtSpUoVvvnmm/x933zzDZGRkTRp0iR/n2EYvPbaa1SvXh1fX18aNWrEvHnzCpxr0aJFtG3blrJly1K+fHluu+029u3bV+CYefPm0aBBA3x9fSlfvjw333wzp0+fBqBatWpMmzatwPGNGzdm/Pjx+dvt27dn+PDhjBo1igoVKnDLLbcUKVv79u15/PHHGTFiBOXKlSM0NJRZs2Zx+vRpHnzwQQICAqhRowY//fTTFb3m9u3b88QTTzBmzBiCg4MJCwsrkHfgwIEsW7aMN998E4vFgsViYf/+/Rdti8zMTJ544glCQkLw8fGhbdu2rFu3Lv/xy319CrtWXl4ekyZNombNmnh7e1OlShVeeeWVIl/3ar52Rf36Xer7oSj279+PxWLhm2++4cYbb8TX15dmzZqxf/9+li5dSsuWLfHz86NDhw6cOHHCtHMW5/lFROQqGSIiIg4wYMAAo1evXsbUqVONTp065e/v1KmT8cYbbxi9evUyBgwYYBiGYTz//PNGnTp1jEWLFhn79u0zZs+ebXh7extLly7Nf968efOMr7/+2tizZ4+xadMmo0ePHkaDBg2M3NxcwzAM48iRI4aHh4cxdepUIy4uztiyZYsRExNjpKamGoZhGFWrVjXeeOONAhkbNWpkjBs3Ln/7pptuMvz9/Y3Ro0cbu3btMnbu3FmkbDfddJMREBBg/Oc//zH27Nlj/Oc//zHc3NyMbt26GbNmzTL27NljDB061Chfvrxx+vTpIr/mm266yQgMDDTGjx9v7Nmzx/jwww8Ni8Vi/Pzzz4ZhGMapU6eMVq1aGY888oiRkJBgJCQkGDk5ORdtjyeeeMKoVKmSsXDhQmP79u3GgAEDjHLlyhnHjx8v0tensGuNGTPGKFeunDFnzhxj7969xooVK4z33nuvyNe9mq9dUb5+l/t+KIr58+cbgNGpUydjxYoVxqZNm4yqVasabdu2Nbp27WqsXbvWWLNmjVG+fHnjtddeM+2cxXl+ERG5Oiq8RUTEIc4V3snJyYa3t7cRFxdn7N+/3/Dx8TGSk5PzC++0tDTDx8fHWLlyZYHnP/TQQ0b//v0LPX9SUpIBGFu3bjUMwzA2bNhgAMb+/fsvenxRC+/GjRvnbxc120033WS0bds2fzsnJ8coU6aMcf/99+fvS0hIMABj1apVV31ewzCMFi1aGM8880yBY5588smLvubzX4enp6fx6aef5u/LysoyKlWqlF98FfXrc/61rFar4e3tXaDQvtLrXunX7tx5L/f1u9z3Q1GMHz/eKFeunJGcnJy/b+DAgUaVKlWMtLS0/H1du3Y1Ro0aZRiGYaxYscJ49dVX7XrO+fPnGyNGjHBY5vnz51/2e0hERK6Nh3n32kVEpDSoUKEC3bt358MPP8QwDLp3706FChXyH9+xYwcZGRnccsstBZ6XlZVVoDv6vn37ePHFF1m9ejXHjh0jLy8PgPj4eOrXr0+jRo3o1KkTDRo0oEuXLnTu3Jk77riDcuXKXVHe5s2bX3E2gIYNG+b/293dnfLly9OgQYP8faGhoQAkJSVd9XkBwsPDSUpKuqLXtG/fPrKzs2nTpk3+Pk9PT1q2bMnOnTuv6Fzn27lzJ5mZmXTq1OmarnslXzsoWrvY4/shNjaWnj17Fvh+jY+Pp3///pQpU6bAvu7duwPQtm1b2rZta9dzbtmyhUaNGjks85YtWy74PhMREftS4S0iIg43aNAghg8fDkBMTEyBx84V0D/++COVK1cu8Ji3t3f+v3v06EFkZCTvvfcelSpVIi8vj/r16+dPgObu7s6SJUtYuXIlP//8M2+//TZjx45lzZo1REVF4ebmhmEYBc6fnZ19Qdbzi5OiZgNbQXk+i8VSYJ/FYsk/57We99zzi+rc6z6X4fz95/YV9etzPl9f32u+LlzZ1+78vy/19bvc90NRbN68mTFjxhTYFxsbm/+9DLbJAvfs2UPjxo0B6NOnD+PGjcvftsc5t2zZQs+ePUlJSeHee++lT58+PPTQQ3Y9/6233lro10FERK6dJlcTERGH69q1K1lZWWRlZdGlS5cCj0VHR+Pt7U18fDw1a9Ys8CcyMhKA48ePs3PnTl544QU6depE3bp1OXny5AXXsVgstGnThgkTJrBp0ya8vLyYP38+ABUrViQhISH/WKvVSlxc3CVzFyXb1bDneb28vMjNzb3kMTVr1sTLy4s//vgjf192djbr16+nbt26QNG+Pv++1nXXXYevry+//vrrVV/3ahT163ep74fLsVqt7N+/v0APhAMHDnDixIkC+7Zv305ubm7+HemdO3cW+tqu9py7du3C29ubrl27MmLEiEKL7qs9//bt26lXr16Rvi4iInJ1dMdbREQczt3dPb9rsbu7e4HHAgICePrppxk5ciR5eXm0bdsWq9XKypUr8ff3Z8CAAZQrV47y5csza9YswsPDiY+P59lnny1wnjVr1vDrr7/SuXNnQkJCWLNmDcnJyflFUMeOHZkzZw49evSgXLlyvPjiixdk+beiZLsa9jxvtWrVWLNmDfv378ff35/g4GDc3Ap+rl6mTBmGDh3K6NGjCQ4OpkqVKrz22mukp6fnF3FF+fpc7FrPPPMMY8aMwcvLizZt2pCcnMz27dt56KGHinRdR339Lvf9cDmbN2/Gzc2tQBfs2NhYypYtS7Vq1QocV716dQICAjh9+jQeHh4X9Fq4lnOmp6dz5MgR+vfvz6effnrJAvlqz+/m5nbZ3gsiInJtVHiLiEixCAwMLPSx//znP4SEhDBx4kT+/vtvypYtS9OmTXn++ecBWzfoL774gieeeIL69etTu3Zt3nrrLdq3b1/g/MuXL2fatGlYrVaqVq3KlClT6NatGwDPPfccf//9N7fddhtBQUH85z//uewd76Jku1r2Ou/TTz/NgAEDiI6O5syZM8TFxRUoss753//+R15eHvfffz+pqak0b96cxYsX5495LsrX52LXevHFF/Hw8OCll17iyJEjhIeHM2TIkCJf92pd7ut3ue+Hy9m8eTN16tQpUJBu2rTpgrHWmzdvzu+yvW3bNurXr5//2Jw5c3jwwQfzu9xf7TlvuOEGDh8+fEGXfHudX3e7RUQcz2L8e0CXiIiIiFyx999/n6NHjzJ27FgAxo8fz9KlS1m6dOk1nTM5OZnOnTszePBgli9fnj8Pgb3On5iYyAsvvHDV5xARkcvTGG8RERERO9i6dWuB2dgXL17Ma6+9ds3nrF+/Ps2aNWPw4ME8/PDDdj+/ZjQXEXE83fEWERERsYOmTZvy448/Eh4ebnYUERFxMrrjLSIiInINsrKyaNq0KV27dlXRLSIiF6U73iIiIiIiIiIOpDveIiIiIiIiIg6kwltERERERETEgVR4i4iIiIiIiDiQCm8RERERERERB1LhLSIiIiIiIuJAKrxFREREREREHEiFt4iIiIiIiIgDqfAWERERERERcSAV3iIiIiIiIiIOpMJbRERERERExIFUeIuIiIiIiIg4kApvEREREREREQdS4S0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTCW0REpIRbvXo1/fr1Izw8HC8vL8LDw7nzzjtZt27dNZ3XYrEwfPjwyx63dOlSLBYLS5cuzd+3cOFCxo8fX+Rrbd++nccee4xWrVpRpkyZC84nIiJSkqnwFhERKcHefvtt2rRpw6FDh3jttdf45ZdfeP311zl48CA33HADs2bNcniGpk2bsmrVKpo2bZq/b+HChUyYMKHI51i/fj3ffvstwcHBdOrUyRExRURETONhdgARERG5On/++ScjRozg1ltvZf78+Xh4/PNj/e6776ZPnz489thjNGnShBYtWjgsR2BgIDfccMM1neP+++9nwIABAMybN4/vv//eHtFEREScgu54i4iIlFATJ07EYrEwY8aMAkU3gIeHB9OnT88/7pyBAwdSrVq1C841fvx4LBbLRa8zc+ZMatWqhbe3N9HR0XzxxRcFHv93V/OBAwcSExMD2Lqrn/uzf//+Ql+Lm5t+JREREdelO94iIiIlUG5uLr///jvNmzcnIiLiosdERkbSrFkzfvnlF/Ly8q6quF2wYAG///47L7/8MmXKlGH69On0798fDw8P7rjjjos+58UXX+T06dPMmzePVatW5e8PDw+/4uuLiIi4AhXeIiIiJdCxY8dIT08nKirqksdFRUWxdu1aTpw4QYUKFa7qOuvWrSM0NBSAW2+9lfr16/Pcc88VWnjXqFEj//hr7YIuIiLiCtSvS0RExIUZhgFQaDfyy+nUqVN+EQ3g7u7OXXfdxd69ezl06JBdMoqIiLg6Fd4iIiIlUIUKFfDz8yMuLu6Sx+3fvx9fX1/Kly9/VdcJCwsrdN/x48ev6pwiIiKljQpvERGREsjd3Z2OHTuyfv36Qu88Hzp0iA0bNtCxY8f8fT4+PmRmZl5w7LFjxy56jsTExEL3XW0xLyIiUtqo8BYRESmhnn32WQzD4LHHHiM3N7fAY7m5uQwdOpTc3FyefPLJ/P3VqlUjKSmJo0eP5u/Lyspi8eLFF73Gr7/+WuDY3Nxc5s6dS40aNQqd1A3A29sbgDNnzlzVaxMREXElmlxNRESkhGrTpg3Tpk3jySefpG3btgwfPpwqVaoQHx9PTEwMq1atYvz48dxyyy35z7nrrrt46aWXuPvuuxk9ejQZGRm89dZbFxTu51SoUIGOHTvy4osv5s9qvmvXrguWFPu3Bg0aADBp0iS6deuGu7s7DRs2xMvL66LHp6ens3DhQgBWr14NwLJlyzh27BhlypShW7duV/z1ERERcRYW49ysKyIiIlIirVq1iilTpvDHH3+QnJxMXl4ePj4+fP3119x6660XHP/TTz/x/PPPs3v3bsLDwxk1ahTJyclMmDCB838tsFgsDBs2jHr16jFlyhTi4+OpUaMGL774Ivfcc0/+cUuXLqVDhw78/vvvtG/fHrDdRR82bBjfffcdx44dwzAM4uLiLrqGONjGohc2Q3vVqlUvuQa4iIiIs1PhLSIi4mI++ugjBgwYwJgxY5g0aZLZcUREREo9dTUXERFxMQ888AAJCQk8++yzlClThpdeesnsSCIiIqWa7niLiIiIiIiIOJBmNRcRERERERFxIBXeIiIiIiIiIg6kwltERERERETEgVR4i4iIiIiIiDiQZjW/jLy8PI4cOUJAQAAWi8XsOCIiIiIiIuIEDMMgNTWVSpUq4eZ26XvaKrwv48iRI0RGRpodQ0RERERERJzQwYMHiYiIuOQxKrwvIyAgALB9MQMDA01OIyIiIiIiIs7AarUSGRmZXzNeigrvyzjXvTwwMFCFt4iIiIiIiBRQlCHJmlxNRERERERExIFUeIuIiIiIiIg4kApvEREREREREQdS4S0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTCW0RERERERMSBVHiLiIiIiIiIOJAKbxEREREREREHUuEtIiIiIiIi4kAqvEVEREREREQcqFQU3j/88AO1a9fmuuuu4/333zc7joiIiIiIiJQiHmYHcLScnBxGjRrF77//TmBgIE2bNqVv374EBwebHU1ERERERERKAZe/47127Vrq1atH5cqVCQgI4NZbb2Xx4sVmx7Kb3DyDVfuO813sYVbtO05unmF2JBERERERETmP09/xXr58Oa+//jobNmwgISGB+fPn07t37wLHTJ8+nddff52EhATq1avHtGnTaNeuHQBHjhyhcuXK+cdGRERw+PDh4nwJDrNoWwITvt9BQkpG/r7wIB/G9Yima/1wE5OJiMDUVVOxZloJ9A5kVKtRZscRO1CbioiIXB2nv+N9+vRpGjVqxDvvvHPRx+fOncuIESMYO3YsmzZtol27dnTr1o34+HgADOPCO8AWi8WhmYvDom0JDP1kY4GiGyAxJYOhn2xk0bYEk5KJiNhMXTWVCcsmMHXVVLOjiJ2oTUVERK6O09/x7tatG926dSv08alTp/LQQw/x8MMPAzBt2jQWL17MjBkzmDhxIpUrVy5wh/vQoUNcf/31hZ4vMzOTzMzM/G2r1WqHV2FfuXkGE77fwcU6lRuABZjw/Q5uiQ7D3a3kf8ggIiXTrw/8Sk5eDh5uTv+jRopIbSoiInJ1nP6O96VkZWWxYcMGOnfuXGB/586dWblyJQAtW7Zk27ZtHD58mNTUVBYuXEiXLl0KPefEiRMJCgrK/xMZGenQ13A11saduOBO9/kMICElg7VxJ4ovlIjIv9SuUJt6IfWoXaG22VHETtSmIiIiV6dEF97Hjh0jNzeX0NDQAvtDQ0NJTEwEwMPDgylTptChQweaNGnC6NGjKV++fKHnfO6550hJScn/c/DgQYe+hquRlFp40X01x4mIiIiIiIjjuERfsX+P2TYMo8C+nj170rNnzyKdy9vbG29vb7vms7eQAB+7HiciIiIiIuI08nLhwEpIOwr+oVC1Nbi5m53qmpTowrtChQq4u7vn390+Jykp6YK74K6kZVQw4UE+JKZkXHSctwUIC/KhZZTWKhcR86w6uIrM3Ey83b1pFdnK7DhiB59t/Yz07HT8PP24p8E9ZscRERFXtGMBLHoGrEf+2RdYCbpOguii3Ux1RiW6q7mXlxfNmjVjyZIlBfYvWbKE1q1bX9O5Y2JiiI6OpkWLFtd0Hkdwd7Mwrkc0YCuy/80AxvWI1sRqImKqfl/1o8OHHej3VT+zo4idjFkyhke+f4QxS8aYHUVERFzRjgXw5QMFi24Aa4Jt/44F5uSyA6cvvNPS0oiNjSU2NhaAuLg4YmNj85cLGzVqFO+//z4ffPABO3fuZOTIkcTHxzNkyJBruu6wYcPYsWMH69atu9aX4BBd64cz476mhAVd2J3cAlTwd+7u8iIiIiIiIvnycm13ugtduwlY9KztuBLI6buar1+/ng4dOuRvjxo1CoABAwYwZ84c7rrrLo4fP87LL79MQkIC9evXZ+HChVStWtWsyMWma/1wbokOY23cCZJSMwgJ8OHL9fHM33SEUV9uZuGT7fD3dvomFhEXNazFMKyZVgK9A82OIiIiIs7uwMoL73QXYID1sO24qHbFFstenL4qa9++PYZxsU89/vHYY4/x2GOPFVMi5+LuZqFVjX9maa9XOZC1cSeJP5HOKz/uYGLfhiamE5HS7Ll2z5kdQUREREqKtKP2Pc7JOH1Xc7M48xjvSwn08eT1frZi+/O1B/l1Z8n8xhQRERERkVIkN7tox/mXzEm0VXgXwtnHeF9K6xoVeKhtFADPfL2V42mZJicSEREREREpxJav4IdRlznIAoGVbUuLlUAqvF3U6C61uS7En2NpmYydv+2y3fVFRERERESKVfYZWPAEfPMw5KRDxbrYpor+9+pMZ7e7/q/EruetwttF+Xi688ZdjfFws7BoeyLfbDxsdiQRKWWaz2pOxNQIms9qbnYUERERcTbH9sL7t8DGDwEL3PQMDP0T7vwIAsMLHhtYyba/BK/j7fSTq8nVq185iBE3X8fkn/cwfsF2bqhRnsplfc2OJSKlRGJaIodT9aGfiIiI/Mu2r213urPSwK8C3P4e1Ohoeyy6J9Tpbpu9PO2obUx31dYl9k73OSq8CxETE0NMTAy5uSVznbhzhtxUg193JbEp/hRPf7mZTx++Hje3f3fdEBGxvzD/sAJ/S8mnNhURkWuSnQGLn4f1/2fbrtoGbv+/C+9wu7mXyCXDLsViaPDvJVmtVoKCgkhJSSEwsGSuRbv/2Gm6vbmCM9m5vNC9Lg+3q252JBERERERKU1O/A1fDoDELbbtdk9D++fAveTeC76SWlFjvEuBahXKMLZ7XQBeW7ybPUdTTU4kIiIiIiKlxvZvYeZNtqLbrzzc9zV0erFEF91XSoV3KXHv9VVoX7siWTl5jPgilqycPLMjiYiIiIiIK8vJhIWj4asBkGmFKq3g0RVQ82azkxU7Fd6lhMVi4bXbG1LWz5MdCVbe/HWP2ZFERERERMRVnYiDD7rA2lm27bYjYcAPEFTZ3FwmKT339oWQQB9e7dOAxz7dyIyl++hYJ4RmVYPNjiUiLmriiolYM60EegfyXLvnzI4jdvDo949yIuMEwT7BzOwx0+w4IiLirHZ+D98Og8wU8C0HfWZBrc5mpzKVCu9CuMqs5v92a4Nw+jSpzPxNhxn15WYWPtGOMt76NhAR+4tZF8Ph1MNUDqiswttF/PjXj/ltKiIicoGcLFjyEqyZYduOaAl3fABlI83N5QTU1bwQw4YNY8eOHaxbt87sKHY3vmc9woN8OHA8nVcW7jQ7joiIiIiIlHQnD8Dsrv8U3a0fhwcXqug+S7c6S6EgX08m92vEve+v4bM18dxSN5QOdULMjiUiLuarfl+RmZuJt7u32VFERETEkXYthG+HQEYK+JSFPu9C7W5mp3IquuNdSrWpWYEH21QDYMzXWzhxOsvcQCLiclpFtqJ9tfa0imxldhQRERFxhNxsWDwWvuhvK7orN4MhK1R0X4QK71Lsma51qBniT3JqJi98uxXDMMyOJCIiIiIiJcGpgzC7G6x6x7Z9wzB4cBGUrWJuLielwrsU8/F05407G+PhZmHh1kS+jT1sdiQREREREXF2exbDzHZwaB14B8Fdn0LXV8HDy+xkTkuFdyFiYmKIjo6mRYsWZkdxqAYRQTzR6ToAXvpuO0dOnTE5kYi4it3HdrM9aTu7j+02O4qIiIjYQ262bdbyz+6EMyehUhMYshzq3mZ2MqenwrsQrjyr+b891r4GjSPLkpqRw9NfbSYvT13OReTadfqoE/Vn1KfTR53MjiIiIiLXKuUwzLkN/nzTtt3yURi0GMpVMzVWSaHCW/Bwd2PqnY3w8XRj5b7jzFm53+xIIiIiIiLiLP76xda1/OBq8A6Efh/Cra+Bh1YuKSotJyYAVK/oz9hb6/Lid9uZtGgXN9aqQM2QALNjiUgJ1r9+f05mnKScTzmzo4idqE1FREqZ3BxY+iqsmGLbDm8E/eZAcHVTY5VEFkNTWV+S1WolKCiIlJQUAgMDzY7jUIZhMGD2OpbvSaZB5SC+eaw1nu7qFCEiIiIiUupYE+Drh+DAn7btFg9D51fA08fcXE7kSmpFVVWSz2Kx8PodDQny9WTr4RTe/vUvsyOJiIiIiEhx2/cbvNvWVnR7BcAdH0D3KSq6r4EKbykgNNCH//auD8A7v+9lY/xJkxOJiIiIiEixyMuF316Bj/tC+jEIawCPLoP6t5udrMRT4S0X6NGoEj0bVSLPgFFzY0nPyjE7koiIiIiIOFLqUfioFyx/DTCg2YPw0C9QvobZyVyCCu9ClJZ1vAvzn171CQv0Yf/xdF5duNPsOCJSAnX9pCtNZzal6yddzY4idlLnnToETgykzjt1zI4iIiL29PcyW9fy/SvAswz0fR96TFPXcjtS4V2I0rSO98UE+XkyuV8jAD5ZHc/S3UkmJxKRkmZb0jY2JW5iW9I2s6OInaRlpZGalUpaVprZUURExB7ycmHp/2x3uk8nQUg9W9fyhv3MTuZyVHhLodpeV4GBrasBMGbeFk6ezjI3kIiUKF7uXvl/RERExMmkJcEnfWHpRMCAJvfDw79AhevMTuaStI63XNIzXeuw/K9k/k4+zQvfbeOd/k2wWCxmxxKREuDvJ/82O4KIiIhcTNwK21JhaUfB0w9uewMa3W12KpemO95ySb5e7rxxZ2Pc3Sz8uCWBBZuPmB1JRERERESuRl4eLHsdPuppK7or1oXBS1V0FwMV3nJZjSLL8njHmgC8+O02ElLOmJxIRERERESuyOlj8Ont8Pt/wciDxvfCI79CxdpmJysVVHhLkQzrUJNGEUFYM3IY/dUW8vIMsyOJiIiIiEhRHFhpm7V832/g4Qu9pkPv6eBVxuxkpYYKbykST3c3pt7VGB9PN/7Ye4yPVu03O5KIOLlZG2YxddVUZm2YZXYUERGR0ikvD1ZMhTm3QWoCVKgFj/wGTe41O1mpo8JbiqxGRX+e61YXgIk/7WJvkpaTEZHCvbzsZZ76+SleXvay2VFERERKn9PH4fO74NcJYORCw7vgkd8hNNrsZKWSCm+5IvffUJV211UgMyePUV/Gkp2bZ3YkERERERE5X/xqmNkO/voZPHyg59vQZyZ4+5udrNTScmKFiImJISYmhtzcXLOjOBU3Nwuv39GIzm8sY8uhFN75bS8jb6lldiwRcULv3vYuZ7LP4Ovpa3YUsRO1qYiIk8vLg1Vvwy9n73KXrwn9PoSw+mYnK/UshmFolqxLsFqtBAUFkZKSQmBgoNlxnMZ3sYd58otY3N0sfD20NY0jy5odSURERESk9Eo/Ad8OhT2LbNv174Ae08A7wNRYruxKakV1NZer0qtxZW5rGE5unsGoubGcyVLPABERERERUxxcBzNvtBXd7t5w2zS4/X0V3U5Ehbdctf/2rk9ooDd/HzvN/37aaXYcEREREZHSxTBgVQzM7gopByG4Ojz8CzR/ECwWs9PJeVR4y1Ur6+fFa3c0AuDDVQdYvifZ5EQi4kyOpx8n+XQyx9OPmx1F7GTDkQ2sOriKDUc2mB1FRETOnIQv7oXFz0NeDkT3hsHLILyh2cnkIlR4yzW5qVZFHmhVFYDR8zZzKj3L5EQi4iwavduIkMkhNHq3kdlRxE56fdGL1h+0ptcXvcyOIiJSuh3eYOtavvtHcPeCWydDvzngozmpnJUKb7lmz3WrS/UKZThqzeTF77abHUdERERExDUZBqx+F/6vC5yKh3LV4KGfoeUj6lru5FR4yzXz9XJn6l2NcXez8P3mIyzYfMTsSCLiBG6pcQs9avXglhq3mB1FRESk5MtIgS8fgEXPQF421O0Jjy6HSk3MTiZFoHW8xS4aR5ZlWIeavPXrX7wwfystqwUTFuRjdiwRMdHsXrPNjiAiIuIajsTCVwPg5H5w84Qur0DLwbrLXYLojrfYzeMda9IwIghrRg6j521GS8SLiIiIiFwDw4C178H/3WIrustWgYcWw/WPquguYVR4i914ursx9c7GeHu4seKvY3y8+oDZkURERERESqYMK8x7EBY+DblZULu7rWt55WZmJ5OroMJb7KpmiD/PdqsDwKsLd7IvOc3kRCIiIiIiJUzCFph1E2yfD24e0OVVuPtT8C1ndjK5Siq8xe4GtKpGm5rlycjOY9SXm8nJzTM7koiY4N5v7qXLJ12495t7zY4iIiJSMhgGrP8A3r8ZTvwNQZHw4CJoNUxdy0s4Fd5id25uFl6/oxEBPh5sPniKmN/3mR1JREywbP8yft73M8v2LzM7ioiIiPPLTIWvH4YfRkJuJtTqZutaHtnC7GRiByq8xSEqlfXlP73qA/DWb3+x5dApcwOJiIiIiDirxG0wqz1smwcWd7jlP9D/c/ALNjuZ2InF0NTTFxUTE0NMTAy5ubns2bOHlJQUAgMDzY5VohiGwfDPNvHj1gRqVCzDj0+0w8fT3exYIlJMUjNTMTCwYCHAO8DsOGIHalMRETszDNj4Efw0BnIyILAy3DEbqlxvdjIpAqvVSlBQUJFqRRXel3ElX0y50MnTWXSZtpyk1EwGtq7G+J71zI4kIiIiImK+zDT4cRRsmWvbvq4z9Jmpu9wlyJXUiupqLg5VrowXk+5oCMCclfv5469jJicSERERETHZ0R3wXgdb0W1xh5vHQ/+5KrpdmApvcbgOtUO49/oqAIyet5mU9GyTE4mIiIiImGTTp/BeRzi2BwLCYeAP0HYkuKk0c2UeZgeQ0mFs97r8ufcY+4+n89KCbbx5dxOzI4mIg32z8xvSs9Px8/Sjb92+ZscRO5i6airWTCuB3oGMajXK7DgiIiVL1mn48WnY/Jltu0Yn6DsLylQwN5cUC43xvgyN8bafjfEnuWPGSvIMeOeeJtzWsJLZkUTEgSKmRnA49TCVAypzaNQhs+OIHahNRUSuUvJu+PIBSN4FFjfo8Dy0fUp3uUs4jfEWp9S0SjmGdagJwNj52zhqzTA5kYiIiIiIg23+wrZUWPIu8A+DAd/DjaNVdJcy6mouxeqJTtfx++4kth22MnreFj58sAUWi8XsWCLiAP/t+F9OZ52mjFcZs6OIiIgUv+wzsHA0bPrYtl29PfR9D/xDTI0l5lDhLcXK092NN+5sTPe3/2D5nmQ+WRPP/TdUNTuWiDjAwMYDzY4gIiJijmN/wZcDIGk7YIH2z8GNT4Obu9nJxCTq3yDF7rrQAJ7pWgeAV3/cSdyx0yYnEhERERGxky1fwcybbEV3mRB44Dto/4yK7lJOhbeY4sHW1WhdozxnsnMZOTeWnNw8syOJiIiIiFy97DPw/ZPwzcOQfRqqtYMhf0D1m8xOJk5AhbeYws3Nwuv9GhHg7UHswVPMWLrP7EgiIiIiIlfn+D54/xbYMAewwE3P2O50B4SanUychApvMU3lsr5M6FUPgDd//Yuth1JMTiQi9hQxNQLLBAsRUyPMjiIiIuI4276xdS0/uhX8KsD939iWC1PXcjmPCm8xVZ8mlelWP4ycPIORX8aSkZ1rdiQRERERkcvLzoAfn4J5D0JWKlRtY+taXqOj2cnECWlWczGVxWLhlT4NWLf/JHuT0nht0W5e6hFtdiwRsYOm4U2JDIqkol9Fs6OInahNRUTOOvE3fDUQEjbbtts9bZu53F3llVycxTAMw+wQzsxqtRIUFERKSgqBgYFmx3FZv+06yqA56wH47OHraV2zgsmJREREREQuYsd38N1wyLSCX3noOwtq3mx2KjHBldSK6mouTqFjnVD6t6wCwNNfbSblTLbJiUREREREzpOTCQvHwJcP2IruKq3g0RUquqVIVHiL03ihe12qlvfjSEoGExZsNzuOiIiIiIjNyf3wQRdYO9O23WYEDPgegiqbmUpKkFJRePfp04dy5cpxxx13mB1FLqGMtwdT72yEmwW+2XSYn7YmmB1JREREREq7nT/AzBvhyCbwLQf3fAm3TAB3T7OTSQlSKgrvJ554go8++sjsGFIEzaoGM+SmGgA8P38rSdYMkxOJyNV6fOHj3PfNfTy+8HGzo4id9Py8J63+rxU9P+9pdhQREcfLyYJFz8PceyEjBSJa2rqW1+pidjIpgUpF4d2hQwcCAgLMjiFFNOLmWkSHB3IyPZsxX29B8/+JlEzzd83n062fMn/XfLOjiJ1sTNjI6kOr2Ziw0ewoIiKOdSoeZneD1TG27daPw4MLoWykubmkxDK98F6+fDk9evSgUqVKWCwWvv322wuOmT59OlFRUfj4+NCsWTNWrFhR/EGl2Hh5uDHt7sZ4ebixdHcyn62NNzuSiIiIiJQWu3+Cd9vB4fXgUxb6fwGd/6uu5XJNTF9o7vTp0zRq1IgHH3yQ22+//YLH586dy4gRI5g+fTpt2rRh5syZdOvWjR07dlClim0W7GbNmpGZmXnBc3/++WcqVark8Ncg9lcrNIAxXWrz3x938t8fdtKmRgWqVShjdiwRuQIrHlxBrpGLu8Xd7CgiIiKXl5sNv06AlW/btis3g35zoGwVU2OJazC98O7WrRvdunUr9PGpU6fy0EMP8fDDDwMwbdo0Fi9ezIwZM5g4cSIAGzZssFuezMzMAkW81Wq127nlygxqE8UvO4+y+u8TjPoyli8fbYWHu+mdNESkiKLKRZkdQUREpGhSDsFXD8KhtbbtGx6DmyeAh5e5ucRlOHUVk5WVxYYNG+jcuXOB/Z07d2blypUOuebEiRMJCgrK/xMZqXEcZnFzszC5XyMCvD3YGH+Kmcv/NjuSiIiIiLiaPT/bupYfWgveQXDXJ9B1oopusSunLryPHTtGbm4uoaGhBfaHhoaSmJhY5PN06dKFfv36sXDhQiIiIli3bl2hxz733HOkpKTk/zl48OBV55drF1HOj3E96wHwxpI9bDucYnIiEREREXEJuTmwZBx81g/OnIBKTWDIcqjbw+xk4oJM72peFBaLpcC2YRgX7LuUxYsXF/lYb29vvL29i3y8ON7tTSuzZEcii7cfZeTcWL5/vC0+nhozKuLslu5fSmZOJt4e3rSv1t7sOCIiIv+wHoF5gyB+lW275aPQ+T/goTpAHMOpC+8KFSrg7u5+wd3tpKSkC+6Ci+uyWCy82qcBGw6c4q+kNCYv3s0Lt0WbHUtELuO+b+7jcOphKgdU5tCoQ2bHERERsdn7C3wzGNKPg3cg9Hwb6vU2O5W4OKfuau7l5UWzZs1YsmRJgf1LliyhdevWDr12TEwM0dHRtGjRwqHXkaIp7+/NpNsbAPB/f8axat9xkxOJiIiISImSmwO/vgyf3G4rusMbwaPLVHRLsTD9jndaWhp79+7N346LiyM2Npbg4GCqVKnCqFGjuP/++2nevDmtWrVi1qxZxMfHM2TIEIfmGjZsGMOGDcNqtRIUFOTQa0nRdKobyt0tIvli3UGe/mozP41oR6CP1lMUcVajWo3Cmmkl0DvQ7ChiJ2pTESmxrAnw9cNw4A/bdouHofMr4Oljbi4pNSyGYRhmBli6dCkdOnS4YP+AAQOYM2cOANOnT+e1114jISGB+vXr88Ybb3DjjTcWS75zhXdKSgqBgfpFw2xpmTl0e3M5B0+c4famEUy5s5HZkURERETEme37Hb55BE4ng1cA9HwT6t9udipxAVdSK5peeDs7Fd7OZ93+E9w5cxWGAe/e14yu9cPMjiQiIiIiziYvF5ZNgmWvAQaENoA7P4TyNcxOJi7iSmpFpx7jbSaN8XZeLaoF8+iNtv8wn5+/laTUDJMTiYiIiIhTST0KH/e2Fd4Y0GwgPLxERbeYRne8L0N3vJ1TZk4uvd75k12JqXSqE8L7A5pf0RJzIiJy5VIzUzEwsGAhwDvA7DgiIra72gdWQtpR8A+Fqq1h/x+28dynk8CzDPR4Exr2MzupuKArqRVNn1xN5Gp4e7gz7e7G9Hz7T37dlcTcdQe5u2UVs2OJyHkazmhIQloC4f7hbBm6xew4Ygd1Y+pqiTgRcR47FsCiZ2xrcp/jHQCZaYABIfVsXcsrXGdaRJFz1NVcSqw6YYE83aUWAC//sIMDx0+bnEhEznfizAmOpR/jxJkTZkcRERFXs2MBfPlAwaIbIDMVMCDqJnj4FxXd4jRUeEuJ9lDb6rSMCiY9K5envtxMbp5GTog4i2plq1GjXA2qla1mdhSRK5OXC3ErYOs82995uWYnEpHz5eXa7nRzid/7ju8FD+9iiyRyOepqXoiYmBhiYmLIzdUPW2fm7mZhSr9GdHtzBesPnGTm8n081r6m2bFEBPhj0B9mRxC5chfruhpYCbpOguie5uUSkX8cWHnhne5/sx62HRfVrngyiVyG7ngXYtiwYezYsYN169aZHUUuIzLYj5d6RAPwxpI9bD+SYnIiEREpkQrrumpNsO3fscCcXCJSUGpi0Y5LO+rYHCJXQIW3uIR+zSK4JTqU7FyDUXM3k5GtngoiInIFLtl19ey+Rc+q27mI2U4egDXvFu1Y/1DHZhG5Aiq8xSVYLBYm9m1ABX8vdh9NZeqSPWZHEhGRkuSyXVeNf7quikjxy82BP9+C6TfA4fWXOdgCgZVtS4uJOAkV3uIyKvh7M7FvQwDeW/E3q/8+bnIikdJtwtIJjFo8iglLJ5gdReTyitolVV1XRYrfoQ0wqz0seRGy06FqW9u8C1jO/jnf2e2u/wM39+LNKXIJKrwLERMTQ3R0NC1atDA7ilyBW6JDubN5BIYBT325mdSMbLMjiZRa7218jzdWv8F7G98zO4rIpeXlFv1Odvxq2503EXG8DCssHA3vd4KjW8G3HPSaDgN/gBuGwJ0fQWB4wecEVrLt12SI4mQshmFo/aVLsFqtBAUFkZKSQmBgoNlxpAhSM7Lp9uYKDp08Q79mEbzer5HZkURKpYipERxOPUzlgMocGnXI7DhiBy7Zpkm74LthRei6ep6QetB9srqxijiKYcDOBfDTM5CaYNvX6B7o/B8oU6Hgsec+OEs7ahvTXbW17nRLsbmSWlGF92Wo8C6Z1sad4K5ZqzAMmHV/MzrXCzM7kkips+HIBrJys/By96JZpWZmxxE7cKk2zc2GP6fBstcgNwu8A6HBHbB+9tkDzv/16GzX1eYPwvb5cOakbbtRf7jlZfAPKcbgIi7u1EHbXe49P9m2g2vAbW9A9ZvMzSVyESq87UiFd8k1ceFOZi7/m/JlvFg88kYq+HubHUlERJxBwmbbXe7Erbbt67rYfrEPqlzIOt6VbeNFo3tC+gn4dQJs+BAwbAV7xxeg+UPg7mHKyxFxCbk5sHYm/PYKZJ8GN09oOxLaPQWePmanE7koFd52pMK75MrMyaXXO3+yKzGVm+uG8t4DzbBY/j0Bh4iIlBo5mbY73H+8AUaubbxot9egQT84/+dDUbquHtoAC5+CI5ts26ENbN3Pq9xQfK9HxFUc3gjfPwmJW2zbVVpDj2lQsbapsUQuR4W3HanwLtl2HLHSK+YPsnMNXru9IXe2iDQ7koiImOHgOttd7mO7bdvRveDWydfWTTwvFzZ+CL9MgIxTtn2N74WbJ4B/xWuOLOLyMlPht//C2llg5IFPWds47sb3gZvmgBbnp8LbjlR4l3wzlu5j0qJdlPFyZ9GIG4kM9jM7kkipsPXoVrLzsvF086RBaAOz44gd/LDnB85kn8HX05fbat1mdpyiyUqH31+BVTGAAWVCbHemo3vZ7xqnj8Ov42HjR7Zt76Cz3c8Hqfu5SGF2/mAby516dlhHgzuhy6v60EpKFBXedhATE0NMTAy5ubns2bNHhXcJlptncPesVazbf5KW1YL5fPANuLupy7mIo7nkDNilXIlr07gVsOBxOBln227U3/aLvV+wY653aD38OMo2hhwgrAF0nwqRLR1zPZGSKOWQbbbyXT/YtstFwW1ToUZHc3OJXIUrKbzVh6MQw4YNY8eOHaxbt87sKHKN3N0sTOnXmDJe7qzdf4L3V/xtdiQREXGkDCv8MBI+vM1WdAdWhnu+gj7vOq7oBohoDo/8Dt2ngE+QbfK2/7vF1sX99DHHXVekJMjLhdUzIOZ6W9Ht5gHtnobHVqnollJB/Z+kVKhS3o+XekTzzNdbmfLzHm6sVZG64erBIOJIAxoN4FTGKcr6lDU7ipQmf/1im6TJevaOfLMHbUt++RTT//lu7tDiYYjuDb+Mg02f2P7s/B46vWTLozWGpbQ5Emt7XybE2rYjr4ceb0JIXTNTiRQrdTW/DI3xdh2GYfDIR+v5ZWcSdcIC+G54G7w99MuPiEhROXVX8/QTsHgsbP7Mtl2uGvR8G6JuNDUWB9faup+fW7osvJGt+3lEc3NziRSHzDT4/VVYM+Ps5GlBtskHmw7Q5GniEtTVXOQiLBYLE/s2pHwZL3YlpjJ1yR6zI4mIiD3s/B6m33C26LbADY/B0JXmF91gG989eJltBnWfINv47/c72caenz5udjoRx9n9k61b+eoYW9Fd/w4Ytg6aP6iiW0olfddLqVIxwJtX+9pmV561/G/Wxp0wOZGIiFy1tGT4aiDMvc+25naFWjBoMXSdCF5lzE73Dzd3aPkIDN9gW24MbDOgv90U1n9gG/sq4iqsR2zvyc/vtg35KFsV7vsa7vg/CAg1O52IaVR4S6nTpV4YdzSLwDDgqa9iScvMMTuSiIhcCcOALV9BTEvYPh8s7tB2FDy6Aqpcb3a6wvlXhN7TbR8OhDawrf39w0jbHfBDG8xOJ3Jt8nJhzSx4p6WtF4qbB7QdCY+thpo3m51OxHQqvKVUGtcjmsplfTl44gz/+X6H2XFEXFLHDztSb3o9On6o2WrFjqxHbHfSvnkYzpywFbCP/AY3jwNPH7PTFU2VG2DwUuj2GngHwpFNZ7ufP2Ebqy5S0iRssc3g/9NoyEqFiBbw6HK4eTx4+ZmdTsQpqPAuRExMDNHR0bRo0cLsKOIAAT6eTLmzERYLzF1/kCU7jpodScTl7Dm+hx3JO9hzXPMpiB0YBmz40DZmdM8icPOEDi/A4N+hUmOz0105dw+4/lF4fINtfXEM2Pjh2e7nsyEvz+yEIpeXdRp+fgFmtYfDG8A7yDZ54KCfIbSe2elEnIoK70JoHW/Xd0P18jzcNgqA577ZwvG0TJMTibgWfy9/ArwC8PfyNzuK2IlpbXpyP3zcG75/AjKtULkZDFkBN40Gd8/izWJv/iG29cUf/AlC6sGZk/DDCNsd8MMbzU4nUrg9P0PMDbDybTByoV4fGL4WWjykydNELkLLiV2GlhNzbRnZufR65092H02lc3QoM+9vhsViMTuWiIiA7a7vuvfglwmQfRo8fKDjC7ZZy11xLezcHNvr/f1V2wcMWGwzQHd8EfyCzU4nYmNNgEXPwo5vbdtBVaD7FKjV2dRYIma4klpRhfdlqPB2fduPpNA75k+ycw1ev6Mh/ZpHmh1JRESO7YUFwyF+lW27ahvbutzla5ibqzikHoUlL8GWL2zbvsG2sbJN7tedRDFPXh6s/z/49WXbB0MWd2g1DNo/61yrCIgUIxXedqTCu3SI+X0vry/ejb+3Bz892Y7IYE0EIiJiitwcWPWO7a5vbiZ4+duKzualsPvq/j9h4dOQdHYS0MrNoftkqNTE3FxS+iRusw2BOHR2CGblZtDjTQhrYGosEbOp8LYjFd6lQ26ewZ0zV7HhwEmujwrm80duwM1NXc5FRIrV0e3w3TDbLN8ANTrafrkvW8XcXGbKzYa1s+D3ibbZorFA80G2Lvfqfi6OlpUOyybZPgzLywGvANsKAs0HueZwD5ErpMLbjlR4lx4Hjp+m25srSM/KZeytdXnkxupmRxIp0d5Z+w6pmakEeAcwvOVws+OIHYz+eTQnM05Szqccr3d+3X4nzsmCP6bC8smQlw0+QdDlVWh8L2jeDZvURNvs0Vu/sm37lYebJ9i+RqWtJ4AUj79+gR9Hwql423bdntBtEgRWMjeXiBNR4W1HKrxLl8/WxPP8/K14ubvx/eNtqR0WYHYkkRIrYmoEh1MPUzmgModGHTI7jtiBQ9r08Eb4bjgkbbdt1+5um6gpMNw+53c1cSts3c+Td9m2I1raup+HNzI3l7iO1KO2ydO2f2PbDoqEW1+H2t3MzSXihK6kVtRHpCLn6d8yko51QsjKzWPE3FiycrSOqoiIQ2SfgSXjbMtmJW233cG94wO4+1MV3ZcS1Q6G/AGdX7GNfz+01raG8o9Pw5lTZqeTkiwvD9Z/AO+0sBXdFjdoNRweW62iW8QOPMwOIOJMLBYL/7u9AV3eWM7OBCvTftnDmK51zI4lUiJ90OsDMnIy8PHwMTuKOJv41bax3Mf32rbr3w7dXoMyFczNVVK4e0Lr4bav288vwLZ5tmXIts+HW16GRv3V/VyuzNEdtsnTDq6xbVdqYptfQT0pROxGXc0LERMTQ0xMDLm5uezZs0ddzUuZRdsSGPLJRtws8OWjrWheTRPYiIhcc1fzzDT47T+wZiZggH8Y3DYV6nS3e9ZSJW657Y73sd227cjr4dbJEN7Q3Fzi/LLPwLLXYOVbZydP87etG9/yEU2eJlIEGuNtRxrjXXqN+jKWbzYepkqwHwufbIe/tzqIiEjpdk2F999LYcHj/0zU1OQ+6Pxf8C1n95ylUk4WrHkXlv4Psk/bugm3eAQ6PA++Zc1OJ85o32/ww0g4ud+2Xec2W8+ToMqmxhIpSTTGW8QOxvesR+WyvsSfSOeVH3eYHUdEpGTKSLEV3B/1shXdQZFw3zfQK0ZFtz15eEGbJ2D4OqjXF4w8WDsT3mkOsZ+D7rPIOWnJ8PXD8HEfW9EdWBnu/sw2v4KKbhGHUeEtUohAH09e72frpvf52oP8uvOoyYlESpaE1AQOWQ+RkJpgdhQxy+5FEHMDbPzItt3iEXhsFdTsZG4uVxZUGfrNhge+gwq14HQyfDsEZneDxG1mpxMz5eXBhg9tH8Zs/crWK+L6oTBsjYZ7iBQDFd4il9C6RgUeahsFwDNfb+V4WqbJiURKjhbvtSDyjUhavNfC7ChS3NJPwNePwOd3QeoRCK4OAxfalr3y1jKNxaJ6exjyJ9w8Hjz9IH4VzLwRfnrW1gtBSpekXTDnVvj+Ccg4ZZs07eFfodv/9J4UKSYqvEUuY3SX2lwX4s+xtEzGzt+GpkUQEbmE7d9CTEvY+qXtjlrrx20FYLU2ZicrfTy8oO1IW/fz6N5g5MKaGfB2c9g8V93PS4PsM/Dbf+HdtrYPXzzLQJeJ8PBvULmp2elEShXNFiVyGT6e7rxxV2N6x/zJou2JfLPxMLc3izA7lojT635dd05knCDYR6sCuIpLtmnqUVj4FOz83rZdsa5tHHdEs+INKRcKioA7P7RNprVwtG0Zt/mDYcMcWy+E0HpmJxRH+HupbfK0E3/btmt1g1tfh7KRpsYSKa00q/llOP2s5nm5cGAlpB0F/1Co2lrLPzjIO7/9xeSf9xDg7cGikTdSuayv2ZFERMxnGLD5C1j0rK0Lq5sHtHvK9sfD2+x08m85mbAqBpa/DtnpYHGH64dA+2fBxwl/z5Erd/oYLB4LW76wbQeE2wruOreBxWJuNhEXo+XE7MipC+8dC2DRM2A98s++wErQdRJE9zQvl4vKyc2j38xVbIo/Ravq5fn04etxc9MPMBEpxU4dhB9GwN5fbNvhjWx3ucMamBpLiuDUQVj8POxcYNv2D4XOr0CDO1SclVSGAZs+gSUvwpmTgAVaDoaOL+hDFREHUeFtR05beO9YAF8+APy7+c7+sLzzIxXfDrD/2Gm6vbmCM9m5vNC9Lg+3q252BBeaDwABAABJREFUJBGR4peXBxvnwM8vQVYquHvb7pi2fgLcNYqtRNn7CywcAyf22bartrV1Pw+pa24uuTLJe2wfgh3407Yd1gBue1NDPUQcTIW3HTll4Z2XC9PqF7zTXYDFdud7xFZ1O3eAT1Yf4IVvt+Hl4cYPj7elVqhmAxWRUuTE37DgCdi/wrYd0dJ2l7tiLXNzydXLyYSVb8PyyZBzxjZc4Fz3c8147dyyM+CPqbBiKuRl22aw7/C8bZkwfQgm4nAqvO3IKQvvuBXw4W2XP27ADxDVzvF5ShnDMHhwzjqW7k6mXqVA5j/WBi8PLRAg8m/9vupH8ulkKpapyFf9vjI7jlyrvFyavxlFovUwYQas9wyBTi/ZurLqQ17XcCoeFj0Hu36wbQeEQ+f/Qv3b1f3cGcUtt02ednyvbfu6znDrZChX1dxcIqXIldSKqhZKorSj9j1OrojFYuG12xtS1s+T7UesvPXrX2ZHEnFKqw6uYtmBZaw6uMrsKHKtknfDB11ITDnEYfJI9PCCoSvhhqEqul1J2Spw96dw7zwoFwWpCfD1Q/BhD9s60OIcTh+H+UNt7XJ8L/iHQb8P4Z4vVXSLODEV3iWRf6h9j5MrFhLow6t9bJMHTV+6lw0HTpqcSETEAXKzbd2P320Lh9b9c9fTrzwER5mbTRznulvgsdXQ4QXw8LENK3i3Dfz8ImSmmZ2u9DIMiP0M3mkOmz8DLNDiYRi+Fur1Vq8EESenwrsQMTExREdH06JFC7OjXKhqa9sYbi7xH2xgZdtx4jC3NginT5PK5Bnw1JexnM7MMTuSiFPZ98Q+MsZmsO+JfWZHkauRsAXe6wi//Qdys2zdWP1DzE4lxcXTB24aDcPWQO3ukJcDK9+Cd1rAtm9sRaAUn2N7bXe4vx0KZ05ASD14aAl0nwI+QWanE5EiUOFdiGHDhrFjxw7WrVtndpQLubnblgwDCi2+a9+q7n/FYHzPeoQH+bD/eDqvLNxpdhwRp+Lt4Z3/R0qQnEz47b/wXgdI3AI+ZaHPTFs3Vot+rpQ65apB/8/OdmOuBqlHYN6D8FEv20za4lg5mbB0EsxoZet54OELN0+AR5dBpBPeHBKRQqnwLqmie9qWDAsML7j/3OyjGz+Eg2uLP1cpE+TryeR+jQD4bE08v+9KMjmRiMg1OLQeZt4Iy1+33eGs2xOGrYVGd6sba2lXqws8tgbaP2/rfh63DGa0hiXj1P3cUfb/P3v3HRbF1cVx/Lt0kCYgWGg2VGxgx95L7L2bxERTNJqYxBRj1LxJTFFjbOmJLbFGE3vvilhREbsUBRQQpUrdff8YRYkNEJhlOZ/n8ZGdnZ35IQh7Zu4996AyzWPPl8qokyrtYcxhaP42GJuqnU4IkUfS1fwZ9LKr+cO0WRB2SGmkZu0Cbk3g75fh3Hrl8eg994ali8I0bf1Z/jgYShkbc7a+3RKHUmZqRxJCiNxLT4HdX8DhBaDTQqkySnfkmr1y7OY6y5WIxAgq2FTg+oTr6mQV6osLgS0fwsUtymPbCtDpS/DuKRdoCkJKHGyfDCeXKo9LOUOXr6BmH/n3FULPyHJiBUjvC+/HSUuC3zpC9Fko7wsvbwZTS7VTGbTUjCy6zT3A5egkXqhdlvlD6qGRX46ihPvrzF+kZKRgZWrFkNpD1I4jniT0AKx7S1mfG6DOQOj8FVg5PLKrFN4ihwubYfMHcCdMeVypDbzwLThVVTdXcaXTwemVsPUjSLmlbKv/MrSfCpb2aiYTQjyBLCdW0plbK/OxLEtD5ElYP16aoBQyC1Njvhvgg4mRhk1nbvBPYITakYRQ3cTtExm1fhQTt09UO4p4nLRE2PguLOyqFN025ZV5vH1+fmzRLcQjqnVRmq+1+hCMzeHqbljgBzumQXqy2umKl1tXlHnza0crRXeZGjByG3SfLUW3EAZCCm9DVdpTWdNRYwynV8ChuWonMni1Xe0Y1065yv/pv2eJvHNX5URCCPEEl3coBdLRX5XH9V5U5o56dVI3lyh+TC2hzUfK90/VjqDNgAOzYF4jCF4nF/6fJTNd6amwwE+ZN29iAe2mwGv7wL2x2umEEAVIhpo/Q7Ecav6wgJ9h8/ugMYIhq6Bqe7UTGbTMLC39fvQn8NodmlZ2ZOkrjTEykiHnomSSoeZ66O5t2PoJBN6bO2rvAT3mQKXWuXq5fE3FU+l0D4afx4cr2yq3U4afO1ZWN5s+CvNXRiXGXlAeV2oD3WaBQyV1cwkhck3meBegYl9463SwfhycWAzmdjBqFzhVUTuVQbsak8QLc/aTmqHl027ejGxeUe1IQggB5zfChneUZpxooPHr0G4ymJVSO5kwNOkpcOA7ODhb6cZtbAZNx0GLd8HMSu106rt7G7Z/qrw3A6WZYafpULufNE8TopiRwrsAFfvCG5Q1IBd1h2sB4OQFr+4ACzu1Uxm0Jf6hTP73LOYmRmwc15wqzjZqRxJClFTJsbDpfTi7RnnsWBV6zgP3JurmEobv1hXYPFGZ2gBg5w6dp0P1riWzwNTpIOhvpSN8coyyrd6LSvM06asgRLEkzdVETibmMHCpstxH7EX4e5SyDJkoNMOaeNDSqwxpmVreWXGKjCyt2pGEECWNTgdnVsO8hkrRrTGG5u/A6wek6BZFw7EyDF0NA/8EOzdl+PmKofBnf6UoL0nirsLSPvD3K0rRXaY6vLxFmeohRbcQJYLc8X4Gg7jjfV/kSfi9M2SmKm++2k9VO5FBu5mQSsfv9hF/N4NxbaswoWM1tSMJUaTSMtOyPzY3MVcxSQmUEAUbJ8CFTcpjl1rKXe7yvs912AuxF8jUZmJiZEI1J/mZJvIgPQX2z4RDcx4MP2/2tvJ+xJCHn2emg/9c2PuN8v7L2BxavQ9Nx4OJmdrphBDPSYaaFyCDKrwBTq+CNa8qH/f9TZlPJArN+lORvLXsJMZGGla/7oeve2m1IwlRZGTNZxXodHByKWydBGnxYGQKrSYqBU4BvMmXr6l4brGXlaavV3Ypj+3dofPXytJkhjb8PDwANrwN0cHK44qtoNt30mhOCAMiQ83Fk9XpD83GKx//OxYiA1WNY+i61y1Pj7rlydLqmLDyFCnpmWpHEkIYqtthsKQ3rBurFN3l6ylLErWaKHfWhP5wqgLD1sCAJWDrCnfCYflg+GugMhzbENy9ozQy/L2jUnRbOULvn2HEv1J0C1GCSeFdErWboqy1mXkXlg+BpGi1Exm0//WsRVlbC0Jik5m+6bzacYQoMn5ufrTyaIWfm5/aUQybVgtHflHWAb66W1kHuMP/4JXt4OKtdjohHqXRgHcPGHsEmk9QRmZc2grzm8Du6ZBxV+2E+XO/edq8hnDsd2Wb7zAYewzqDjS8O/pCiDyRoebPYHBDze9LjYdf2sGtS+DWBF5cL3dECtGBS7EM+y0AgEUjG9HKq4zKiYQQBiH2Mqx7C8IPKY/dm0KPuYW2bKQMNReFIvYSbHoPru5RHtt7QJdvoFpnVWPlye1Q2Pjugw7ujlWh+2zwbK5mKiFEIZOh5uLZLOxg8DJlbe9rh5VfeHINptA0r+rES009AXh/1SluJ6erG0gIUbxlZcLB7+HHZkrRbVoKXpgBL20stKJbiELjVBWG/wP9FykrsNwJg2UD4a9BSkGrz7Iy4MBs5W795R1K07jWH8MbB6XoFkLkIIV3SeZUFfr9BmjgxCI4+qvaiQzaB52rU6lMKaIT0/jk3yBksIkQIl9uBsNvHWD7p0qX5Ept4E1/aDQKjOTXuiimNBqo2QvGHFGaARqZwMXNML8x7PkaMlLVTvioa0fh59awY4oyfc+zBbxxCFp/oCzlKoQQD5Hf0CVd1Q4PlhXb8iGE7Fc1jiGzNDPmuwE+GBtp2Hg6inWnItWOJIQoTjLTlQLkp5YQeUIZsdRjHgxfC6U91E4nRMEwt4YO05QCtmJL5eLSni9hQWO4uE3tdIrUeGVY+W8d4GYQWDpArx+UaXtOVdVOJ4TQUwZfeF+7do3WrVvj7e1NnTp1WLVqldqR9E+z8VB7AGgzYeUIpTOuKBR13ex5q60yDHTyP0FExRfTBjJC5MJr61+j/6r+vLb+NbWjFH+RJ+GXNkoBos0Ary4wJgDqDZeGTcIwlakGI9ZBvz/Appwy5Pyv/rBsiHrvU3Q6OPsPzGt0b5SgDuoOUZqn+QyR/4tCiKfKd3O1ixcvsmfPHqKjo9FqtTme+/TTTwskXEGIiori5s2b+Pj4EB0dTb169bhw4QKlSpXK1esNtrnaf2Xchd87Q1QguNSCkVuVq86iwGVkaen3wyFOXY+neRUnFo9shJGR/LIWhkcacRWAjFTY+xUcnAO6LOXO2gvfQq2+qrzJl6+pUEVaIuz9Bg4vUG4SmFhAi/eg6VtgalE0Ge6Ew8b3lO7rAA6VleZpFVsWzfmFEHopL7WiSX5O8Msvv/DGG2/g5ORE2bJl0Tz0y1+j0ehV4V2uXDnKlSsHgLOzMw4ODsTFxeW68C4xTC1h0F/KXKWbQfDPGzBgsVy9LQSmxkbMGuhD1zn7OXA5lsX+obzUrKLasYQQ+iY8AP4do6w+AVCzj9Lp2VpWRRAljLkNdPwf+AxVmsGG7ofdn8Opv6DLt1C1feGdOysTAn6A3V9CRoqy9FmLCcoyaEVV9AshDEK+7nh7eHjw5ptv8sEHHzx3gH379vHtt99y/PhxoqKiWLt2Lb169cqxz4IFC/j222+JioqiZs2azJ49mxYtWuT5XMeOHeOll14iKCgo168pMXe87wsPgIVdlaGMbSZBq4lqJzJYiw6FMmXdWcxNjNg4rgVVnGWEgTAsUYlRZOmyMNYYU86mnNpxio/0ZNj5Pwj4EdCBtQt0nQU1uqmdTL6mQn3318reOgmSbijbqneDztPB3r1gz3X9OGwYDzfOKI89mkG32VDGq2DPI4Qotgp9ObHbt2/Tv3//fIX7r+TkZOrWrcu8efMe+/yKFSt4++23mTRpEidPnqRFixZ06dKF8PDw7H3q169PrVq1HvkTGfmgedWtW7cYMWIEP//8c4HkNljujaHbLOXj3V/A+Y3q5jFgw5t40KKqE2mZWiasDCQjS/vsFwlRjJSzKYerrasUaHlxdS8s8FPusKFT7vCNCdCLohvkayr0gEYDtfvB2KPgNxY0xnB+gzLvet8MyEx7/nOkJsCmifBrO6XotrBXGhm+uEGKbiFEvuXrjvcrr7xCw4YNef311ws2jEbzyB3vxo0bU69ePX744YfsbTVq1KBXr15Mnz49V8dNS0ujQ4cOjBo1iuHDhz9z37S0Bz+0ExIScHNzKzl3vO/bNBGO/ARm1vDKdnDxVjuRQboRn0rH7/aSkJrJ+HZVeaeD/EIXokRKjVeWBzu+UHls6wo9vocqhTiEVjxRllbHkZA4ohNTcbaxoFFFB4ylF4d+uhkMm96HsAPKY4fK8MI3+fu/o9PBufWweSIkRinb6gyCjp/LFA8hxGMV+hzvKlWqMHnyZA4fPkzt2rUxNTXN8fy4cePyc9hHpKenc/z4cT788MMc2zt27MihQ4dydQydTsdLL71E27Ztn1l0A0yfPp1p06blK69B6fQFRAcr86iWD4ZRu8HKQe1UBqesnQX/61WL8csDmbf7Mm2qO+PjZq92LCFEUbq4Fda/DYn3Rmk1eEVZ5tGiBF3s1SNbgqKYtj6YqPgH60aXs7NgSndvOteSO/16x8UbXtoAZ1bDtkkQdwWW9oUaPaDTl2Dvlrvj3LmmFNwXNimPHSopUzwqtym87EKIEiVfd7wrVnxyIyiNRsPVq1fzF+Y/d7wjIyOpUKECBw8epGnTptn7ffnllyxatIgLFy4885gHDhygZcuW1KlTJ3vbkiVLqF279mP3lzveD0mJU5qt3QmDiq1g2Bowzte1GvEMY/86wYbTUVRyKsXGcS2wNDNWO5IQz23blW2kZqZiYWJBx8od1Y6jf1LiYMuHcHqF8rh0Reg5Dzybq5vrKX4+/jNJ6UlYm1kzuv5oteMUuC1BUbyx9AT/fWN0/173D8PqSfGtz1ITYM9XSn8EXRaYWkHL95Uh6SZmoM2CsEOQdFPpneDRVLnLfeQn2PUFZCQrzdOajYeW7ymNZ4UQ4ikK/Y53SEhIvoLll+Y/nbV1Ot0j256kefPmjyx39jTm5uaYm5vnKZ/BsnKAwcvg1w4Qshe2fQJdvlI7lUH6vFctjobGcTU2ma82n2Naz1pqRxKFoKQNXx3570hZeupJzv6jdGdOjgGNETR5U2loaWaldrKn+mzvZ9lfU0MrvLO0OqatD36k6AbQoRTf09YH08G7rEH/vy3WLGyh85fgO1RZ+iv8EOycBoF/Qa3ecHIpJDzo/0OpMkpxfufeuuBuTZQlwpxrqBJfCGHYnvv25f0b5rkthPPCyckJY2Njbty4kWN7dHQ0Li4uBX4+8RguNaHPT7BimNLsp2wt8B2mdiqDY29lxjf96vLi70dY5B9G2+rOmJkYl5gCrSSQ4asCgMSbSsF9bp3y2Kka9JwPbg3VzSU4EhKX4//nf+mAqPhUjoTE4VfZseiCibxzqQkvb4LTK5WbBrcuKeuA/1dyjPK3qRV0/gp8h4NRvvoOCyHEM+X7p8vixYupXbs2lpaWWFpaUqdOHZYsWVKQ2TAzM6N+/fps3749x/bt27fnGHpeGObPn4+3tzcNG8qbIWp0h9YfKR9veAeuHVE3j4Fq5VWGEX4eALy88CiDfznM+OWBDP7lMM2/3sWWoCiVE4r8uj989b9v6m/Ep/LG0hMG+7X9sPmHfNn2Sz5s/uGzdzZ0Oh2cWg7zGylFt8ZYGQL7+n4puvVEdOKTi+787CdUptFA3YHKqgBmpZ6+r4WdclNBim4hRCHK1x3vWbNmMXnyZMaOHUuzZs3Q6XQcPHiQ119/ndjYWN55551cHyspKYnLly9nPw4JCSEwMBAHBwfc3d2ZMGECw4cPp0GDBvj5+fHzzz8THh5e4B3V/2vMmDGMGTMme9x+iddyorKkxvkNyt3v0XvAtrzaqQxOfY/SLPYPQ/ufsY73CzSZX1j8lOThq2MbjVU7gn6Iv65ctLy0TXlcto5yl7tcnae/ThQpZxuLAt1P6ImbZyE9+en7JEYpc78rtiiaTEKIEilfhffcuXP54YcfGDFiRPa2nj17UrNmTaZOnZqnwvvYsWO0afOgY+SECRMAePHFF1m4cCEDBw7k1q1bfPbZZ0RFRVGrVi02bdqEh4dHfqKL/DIygt4/wW8dIfosLB8CL2+WxiMFKEur46vN5x/73P2ibeLq01y/fRcjjQYdD6Z6ZO+nA929ve8/pXvKczx0jIf3f/DxY451f/9nnPO/xyDHc7k/Z46MuTwnDz33tM/lcRkfnEP3mP0ek+cxx3/4uHHJ6TJ8taTS6ZTlwbZNhvREMDaD1h9C03FgbPrMl4ui1aiiA07WZsQmpT9xn3J2ytQfUYwk3SzY/YQQIp/yVXhHRUU9dqh306ZNiYrK25DJ1q1bP1I8/Nebb77Jm2++mafjikJgbg2D/1I6nUeehPXjlWK8EOb3l0TPml8IkJCayecbzxVRIlGUZPhqMfW4LslGxhAXAuveUpZkBHBtqNzlLlNN3bziiTK1WixMnr6ixOSu3gY3MsXgWeeyJ1Bu9xNCiHzK9zreK1eu5OOPP86xfcWKFVStWrVAgqlt/vz5zJ8/n6ysLLWj6JfSntB/ESzprSyBU7Y2NH1L7VQGIbeFVz13eyqUtspe3ub+dQ8ND5ocZr8t1IDm3qOc+93/+D/PaR68+ln7Pzh/zjehmmed8+GMT8rxjHPy0DGe+Lk85pw8Yf9H/y1zHuu/uR8+x/3n/rvt/oaQmCR+PxjKs8jw1WIoeB1s+SBnl2Tb8lCpLZxdAxkpYGIJ7T6Fxq8pBbnQW19vvsD1O3exNjfBysyY6MQHS4tqUEan3L775LvhQk95NFX+XyZE8WDc0sM0yvMehds7SAgh8lV4T5s2jYEDB7Jv3z6aNWuGRqPhwIED7Ny5k5UrVxZ0RlXIHO+nqNRK6f65+X3Y/qmy7EaV9mqnKvZyW3i936m6DEkuRrK0OjYH3eBGfOqT3vJR1kCHr1afV53IxEjK25Tn/NjHT6MotoLXwcoRPPJGPiESApcqH3u2gB5zwKFSkccTebP7QjS/H1SWSp0z2IdWXs45lv4LjornfxvOMWPrBbrVLo+dlUwVKDaMjKHz1/f+v96/hHLfvUulnb+SC2NCiEKXr/aNffv2JSAgACcnJ/755x/WrFmDk5MTR44coXfv3gWdUeijRqOUZTd0Wlg1EmIvP/s14qkaVXSgnJ0Fmic8r0HmFxZHxkYapnT3Bnjs11YHTOlumMNXk9KTSExPJCk9Se0oBUubpdzpfuyllHss7GHYWim6i4HoxFTeW3kKgJeaetK2ugvGRhr8KjvS06cCfpUdGeHnSVVna26nZPDdjosqJxZ55t0DBiwG2/80J7Utr2z37qFOLiFEiZLvdbzr16/P0qVLCzKLKE40Gug6E2IvwrUAWD4YXt2hLMkh8uV+gfbG0hNPuiZvsAWaoetcqxw/DKv3yDreAFZmxtR1s1cnWCHzcvTCzsIOl1IGNncy7FDO4eWPk3oHrh02uC7JhvY11Wp1vLvyFLeS06le1oYPu1R/7H6mxkZM6V6TYb8FsORwGEMau+PlYlPEacVz8e4B1bs+vieDEEIUAY3uWZ3N7klISMDW1jb746e5v58huD/UPD4+3qA+rwKTeBN+aQMJEVC1EwxeJr/EntOWoKhHCrRydhZM6e4tS4kVc1laXfbw1dJWpny95TxnIxNp5OnAX6MaY2Isa8gWC2dWw9+vPHu/vr9B7X6Fn0fk26/7r/L5xnNYmBqxfmxzqj6jmH5tyTG2nr1JsyqOLH2l8SM9LoQQQpQseakVc33Hu3Tp0kRFReHs7Iy9vf1jf9nodDo0Go1BNCST5mq5ZOMCg/6E3zvDpa2w63NoP0XtVMVa51rl6OBdNsf8wkYVHeROtwG4P3z1PneHUnSbe4AjoXHM2XmJCR2l43Wx8Kw1ge+TLsl6LSginq+3KL0HJnfzfmbRDfBJV292X4jh4OVbbD17k861yhZ2TCGEEAYi13e89+7dS7NmzTAxMWHv3r1P3bdVq1YFEk4fyB3vXDq9Cta8qnwsd3mEyLV1pyIZt+wkGg0sfaUxzao4qR1JPElmOhyYBXu/Ad3TLsre65L89hkZAaSnktMy6T73AFdjk+lcsyw/DKuX67vXM7ZeYN7uy7g5WLL9nVZYmMrXWAghSqpCueP9cDFdsWJF3NzcHvklpdPpuHbtWh7jCoNQpz/cPAMHv4d/x4JjFSjvo3YqIfRej7rlOXQ5luVHr/H2ikA2jWtBGRtztWOJ/4o6Bf+MUX7OAVSoDxEn7j0pXZKLm2nrz3I1NplydhZ81bd2noaMv9mmMquPX+da3F1+3X+VsW0NYxlVIYQQhStfEworVqxITEzMI9vj4uKoWLHic4cSxVS7KVClA2TeheVDISla7URCFAtTutfEy8WamMQ0JqwMRKvN1UAkvTdp5yTGbBzDpJ2T1I6Sf5npsOsL+KWtUnRbOiijel7dWSK7JA9dM5ROSzsxdM1QtaPk24bTkaw8dh2NBr4b6IO9lVmeXm9lZsJHLyhN2ObvvkJU/N3CiCmEEMLA5Kvwvj+X+7+SkpKwsMjdWsTCABkZQ99fwbEqJFyHFcOVN61CiKeyNDNm3pB6WJgasf9SLD/tu6p2pAKx6NQiFhxbwKJTi9SOkj+RJ+Hn1rDvG9BmQo0eMCZAmUqj0SjF9dtB8OIGpRh/cYMyvNxAi26AvaF72XZlG3tDnz7lTF9dv53CR2uUUQtj21ShSSXHZ7zi8XrULU8Dj9Lczcjiq80Gtka9EEKIQpGn5cQmTJgAgEajYfLkyVhZWWU/l5WVRUBAAD4+PgUaUC3SXC2fLO2Vzua/tFOW0tn0HnT/XnmTKoR4Ii8XG6b1qMkHf59hxrYLNKpYmvoesma7KjLTYO/XcGC2MpfbylFZPrFm70f3NTI2uCXDDFVmlpa3lweSmJqJr7s949rlf4i4RqNhao+adJ93gH8DIxnexIMGnvL/VQghxJPlqfA+efIkoNzxPnPmDGZmD4ZnmZmZUbduXd57772CTaiSMWPGMGbMmOwJ8yIPnKpCv9/gz/5wYhGUrQ2NRqmdSgi9N6CBGwcv37rXcC2QjeOa53kYrD7ZPHQzGdoMTI1M1Y6SexHHlbncMeeUxzV7wwszoJQ0vSvu5u66zLGw29iYmzBnkC+mz7l8X60Kdgxq6MayI9eYuv4s/45pLqtPCCGEeKI8Fd67d+8G4OWXX+b777+XLt/iyap2gPZTYccU2PIhlKkud4WEeAaNRsMXvWtx+vodQm+lMHH1aX4aXr/YrhVc26W22hFyLyMV9n6lNIjUaaFUGeUut3dPtZOJAnAkJI65uy4B8HnvWrg5WD3jFbnzXsdqbDgdRVBEAquOXWNQI/cCOa4QQgjDk6/LvbNnzyYzM/OR7XFxcSQkJDx3KGEgmo2H2v2VuZGrXoTbYWonEkLv2ViYMm9IPcyMjdgWfJNFh0LVjmT4rh+Dn1rCge+UortWP3gzQIpuAxGfksHby0+i1UHfeq709KlQYMd2tDbn7fZeAHyz9QLxdzMK7NhCCCEMS74K70GDBrF8+fJHtq9cuZJBgwY9dyhhIDQa6DEXyvlAyi1YPgTSk9VOJYTeq1XBLrtr8pebzhMUEa9yIgOVcRe2TYbfOkDsBSjlDAOXKlNlSuWv6ZbQLzqdjo/WniYyPhVPRyum9axZ4OcY4edBFWdr4pLT+X7HpQI/vhBCCMOQr8I7ICCANm3aPLK9devWBAQEPHcoYUBMLWHQX8ob2ptB8M8boDOMpZKEKEwvNfWkg7cL6Vlaxv51gqS0R0cZ6bvjkcfxv+bP8cjjakd51LUj8GMLODRHuctdZ6DSsbxGd7WTiQK04ug1Np25gYmRhjmDfbE2z9MMu1wxNTbi027eACz2D+VydGKBn0MIIUTxl6/COy0t7bFDzTMyMrh7V9azFP9hVwEGLgEjUwj+F/Z9q3YiIfSeRqPh2351KG9nQeitFCatPYOumF206rm8J01/b0rP5Xo0ZDs9BbZOgt86wq1LYO0Cg5ZBn5/BSrpSG5LL0UlMWx8MwHudqlHH1b7QztXSqwzta7iQqdUxbX1wsfu/KoQQovDlq/Bu2LAhP//88yPbf/zxR+rXr//cofTB/Pnz8fb2pmHDhmpHMQzuTaDbLOXj3V/A+Y3q5hGiGLC3MmPuEF+MjTT8GxjJqmPX1Y5UvIX5w4/NwX8eoIO6g+HNw1D9BbWTiQKWlpnFuGUnuZuRRfMqToxuUanQzzm5Ww3MjI3YfymWHeeiC/18Qgghipd8jbn64osvaN++PadOnaJdu3YA7Ny5k6NHj7Jt27YCDagWWU6sENQbATeC4MhPsGY0vLIdXLzVTiWEXqvv4cCEDl58u/UCn64LwtfdnqouNmrHypVR9UYRnxaPnbnKP0PTU2DX/+DwD4AObMpB9+/Bq5O6uYohvfmaPsM3Wy4QHJWAQykzZg2oi1ERLPPl4ViKV1tUZMGeK3y+MZiWXk6YmxgX+nmFEEIUDxpdPsdDBQYG8u233xIYGIilpSV16tTho48+omrVqgWdUVX3C+/4+HhZPq0gZGXAkt4Quh9Ke8Ko3TK8U4hn0Gp1vPjHEfZfiqWaiw3/jm2Gham8oc+V0IPw7xi4HaI89h0GHb8AS3tVY4nCs+dCNC/9cRSA315sQLsaLkV27uS0TNrO3MPNhDQmdq7Gm62rFNm5hRBCFL281Ir5LrxLCim8C0FKHPzcGu6EQaXWMPRvMC74hjdCGJKYxDS6fL+f2KQ0BjdyZ3qfYrRGthrSk2HHNGWEDYBtBeg+B6q2VzeXKFTK/5N9xCal81JTT6b2KPgu5s+y9uR13llxCiszY3a925qydhZFnkEIIUTRyEutmK853g+7e/cuCQkJOf4I8VRWDjB4GZiWgqt7YNsnaicSQu+VsTHn+0E+aDSw7Eg4609Fqh1Jf4Xshx+aPii6642AN/2l6DZwWq2Od1edIjYpneplbfiwS3VVcvTyqUA9d3tS0rP4est5VTIIIYTQP/kqvFNSUhg7dizOzs5YW1tTunTpHH+EeCaXmtDn3pvigB/g5FJ18whRDDSr4sSYe0NXP1pzhrBbySon0jNpSbDxXVjUDW6Hgq0rDFsDPeaChX7PSRbP7/eDIey7GIO5iRFzB/uqNh1Do9EwtUdNNBpYezKC42G3VckhhBBCv+Sr8H7//ffZtWsXCxYswNzcnF9//ZVp06ZRvnx5Fi9eXNAZhaGq0R1af6R8vOEdZV1dIcRTvd2+Kg09S5OUlslby06SnqlVO9ITNf+9OVXmVKH5780L/2RX98IPfnD0V+Vx/ZeVu9xV2hX+uUsQ11muaKZpcJ3lqnaUHIIi4rPvLk/u5q16A8I6rvb0r6/8G01bfxatVmb1CSFESZevwnv9+vUsWLCAfv36YWJiQosWLfjkk0/48ssv+fPPPws6ozBkLSdC9W6QlQ4rhkGCDJ8V4mlMjI2YM9gXeytTTl+P1+uhrKF3Qrly+wqhd0IL7yRpicqFu8U94E442LnD8H+g+2ywkL4cJUFKeibjlp8kI0tHR28XhjZ2VzsSAO93qo6NuQmnr8ez+rgsBSiEECVdvgrvuLg4KlasCICtrS1xcXEANG/enH379hVcOhXJOt5FxMgIev8Ezt6QdBOWD4WMu2qnEkKvlbOzZEa/ugD8diCEHcE3VU70eA6WDjhZOeFgWUgrF1zZDQv84NjvyuOGr8Kbh6Bym8I5n9BL09YFczUmmbK2Fnzdtw4aTeEvHZYbZWzMGddOWenlm63nSUjNUDmREEIINeWr8K5UqRKhoaEAeHt7s3LlSkC5E25vb19Q2VQ1ZswYgoODOXr0qNpRDJ+5NQz6CyxLQ+QJWD8epNm+EE/V3tuFkc2UC6DvrT5F5B39u2B1+o3TxLwfw+k3ThfsgVMTYN04WNIL4q+BvQe8uB66zgTz4rHGuSgYG09HseLYNTQa+G6gD6VLmakdKYcXm3pSqUwpYpPSmbvzktpxhBBCqChfhffLL7/MqVOnAPjoo4+y53q/8847vP/++wUaUJQQDhWh/yLQGMPpFeA/T+1EQui9D7tUp46rHXdSMhi//CSZWfo737vAXN6h3OU+sUh53Gg0vHEIKrZUN5coctdvp/DhGuWizpjWVfCr7KhyokeZmRjxaTdvAP44GMrl6CSVEwkhhFBLgazjHR4ezrFjx6hcuTJ169YtiFx6Q9bxLmIBP8HmiaAxgqGroIos/yPE04TdSqbrnAMkpWUytk0V3utUTe1IhSM1HrZOgpNLlMelPaHnfPAsgsZtIpvrLFciEiOoYFOB6xPUm7ecmaVl0M+HORZ2G193e1a+5oep8XOvkFpoXll4lJ3no2nlVYaFLzfUm+HwQgghnk+hruOdkZFBmzZtuHjxYvY2d3d3+vTpY3BFt1BBo9HgOxx0Wlg1EmIvq51ICL3m4ViK6X1qAzB/z2UOXIpVOVEhuLgN5je5V3RroPEbyl1uKbpLrHm7L3Ms7DbW5iZ8P9BXr4tugE+6eWNqrGHvxRh2nY9WO44QQggV5Pk3lampKUFBQXK1VhQOjUaZp+nWGNLiYflg5U6XEOKJutctz+BGbuh08PaKQGIS09SOBMAs/1lM3TOVWf6z8neAu7fhnzfhr/6QGAkOleDlTdDlKzArVbBhRbFxNDSOOffmS3/RuxbujlYqJ3q2ik6lGNlc6cnwvw3BpGVmqZxICCFEUcvXJeIRI0bw22+/FXQWIRQm5jBgCdhWgNiL8Pco0MqbFCGe5tNuNanmYkNsUhoTVgbqxbrBs/xnMW3vtPwV3he2KHO5A/8ENNBkDLx+EDyaFnhOUXzEp2Tw9vJAtDroU68CPX0qqB0p195qW5UyNuaE3krhj4OhascRQghRxEzy86L09HR+/fVXtm/fToMGDShVKuedh1mz8nl3Q4j7bFxg4FL4owtc2gq7Pof2U9ROJYTesjQzZt4QX7rPO8D+S7H8sPcKY9pUUTtW3qXEwZaP4PRy5bFjFei5ANwbq5tLqE6n0/Hx2jNE3LmLp6MVn/WspXakPLE2N+GDztV5b9Up5u68RB/fCjjbWqgdSwghRBHJU+F99epVPD09CQoKol69egA55noDMgRdFJwK9aDHPFjzKhyYBS41oXY/tVMJobequtjwWY9aTPz7NLO2X6RxRQcaeBbSGtq5sLTPUtIy0zA3Mc/dC85vgg1vQ9JNpcGi3xhoMwlMLQs1p8i9PH9NC9DKY9fYeCYKEyMN3w/yxdo8X/cOVNXHtwJLD4cReO0OX2+5wMwB0htHCCFKijx1NTc2NiYqKgpnZ2cABg4cyJw5c3BxcSm0gGqTruZ6YPuncPB7MLGEkVugvI/aiYTQWzqdjrdXBPJvYCTl7SzYNL4F9lb6tbbxI1LiYPMHcGal8tjJS7nL7dZQ3VxCb1yOTqL73APczcjiwy7Veb1VZbUj5VvgtTv0mn8QgLVvNsXXvbTKiYQQQuRXoXU1/2+NvnnzZpKTk/OesBiYP38+3t7eNGwob/xU124KVOkAmXdh+VBIko6wQjyJRqPhi9618XS0IjI+lfdXn37kZ7deObce5jdWim6NETR7G17bL0W3yJaWmcX45Se5m5FFsyqOjG5RSe1Iz8XHzZ5+9V0BmLrurF70YxBCCFH4nmv9Db1+M/ecxowZQ3BwMEePHlU7ijAyhr6/gmNVSLgOK0dAZrraqYTQW9bmJswbUg8zYyO2B99k4aFQtSM9KvkWrB4JK4ZBcjSUqQ6v7IAO08BU5r2KB77dcoGzkQmUtjJl1gAfjIyK/5S2iZ2rYW1uwqnr8fx9Qr310IUQQhSdPBXeGo3mkTncMqdbFAlLexi8DMxtIdwfNr8PBnzhR4jnVauCHR+/UB2A6ZvOExRR9MvyhdwO4XLcZUJuh+R84uw/ML8RBP0NGmNoPgFG7wXX+kWeUeTNntA9bL28lT2he4rmfBei+fWA8v3zbb+6uBhIMzJnGwveaqs0P/x6ywUSUzNUTiSEEKKw5WmOt5GREV26dMHcXGmqsn79etq2bftIV/M1a9YUbEoVyRxvPXNxG/w1ANAp6303fFXtRELoLZ1Ox2tLjrMt+CaejlZsGNeiSBtSuc5yJSIxggo2Fbg+4TokxcCm9yD4H2UHZ2/oOV9ppCiKhUe+poUoJjGNLt/vIzYpnRf9PJhWzLqYP0t6ppZOs/cREpvMay0r8dELNdSOJIQQIo8KbY73iy++iLOzM3Z2dtjZ2TFs2DDKly+f/fj+HyEKjVdHaD9V+XjzBxB6QNU4QugzjUbDt/3qUsHektBbKXy85ox6U4SC1sCCxkrRrTGGlu/D6D1SdIvH0mp1vLfqFLFJ6VQva2OQRamZiRGTuymf1+8HQ7gak6RyIiGEEIUpT7c+/vjjj8LKIUTuNRsPN4PgzCplvveo3VDaQ+1UQuglOytT5gz2YcBPh1l3KpJmVRwZ2NC9SM7du3pvbidFUToqCFa/rGx0qaXc5ZbVCcRT/H4whL0XYzA3MWLOYF8sTI3VjlQo2lZ3oU21Muy+EMPnG8/x+0vSVFAIIQzVczVXE0IVGg30mAvlfCDlFiwfAumG2V1fiIJQ38OBdzt6ATBl3Vku3kws/JPqdMx1a8XSkOPMvR0FRibQ6kPlQpkU3eIpgiLi+XrLeQA+6eaNl4uNyokK1+Ru3pgaa9h1Pprd52XVDiGEMFRSeIviydQSBv0FpZyVu9//vCHN1oR4itdbVqZFVSdSM7SM/esEd9OzCu9kiTeVbuV/vwJ348CltlJwt/kITPR8TXGhqpT0TMYtP0lGlo6O3i4Ma1w0ozPUVKmMNS83qwjA/zYEk56pVTmREEKIwiCFtyi+7CrAwCVgZArB/8K+GWonEkJvGRlp+G6gD2VszLl4M4lp688W/El0Oji9UulYfn6D8n+z9ccwejeUq1Pw5xMG57P1wVyNSaasrQVf961TYlZOeattFZyszbkam8zCQyHPfoEQQohiRwpvUby5N4Fus5SPd38O5zeqm0cIPeZkbc7sgT5oNLD86DXWnYosuIMnRMGywbBmFKTegXJ1leZprT8AY9OCO48wWJvORLH86DU0Gpg1sC6lS5Wc0RE2FqZM7FwNgDk7LxOdmKpyIiGEEAVNCm9R/NUbAY1GKx+vGQ03g9XNI4Qea1bFibFtlPWDP15zhtDY5+yPoNNB4DKlY/nFzcpd7rafwKs76bH7Y/x+86PHsh4FkFwYsog7d/nw79MAvNm6Mk0rO6mcqOj1q+dKXVc7ktIy+XbLBbXjCCGEKGBSeAvD0OlL8GwB6UmwfDCkxKmdSAi9Nb5dVRp5OpCUlslby06SlpnP+d4JkfDXQPjndUiNVxoevrZPWSrM2JQTUSc4fP0wJ6JOFGh+YVgys7S8vfwkCamZ+LjZ83Z7L7UjqcLISMOUHjUBWHX8Oqeu3VE3kBBCiAIlhbcwDMamMGAx2HvA7VBl6aKsTLVTCaGXTIyN+H6wD6WtTDkTEc9Xm8/n7QA6HZxcCvObwKWtYGwG7abAqzvBxbtwQguDNW/3ZY6G3sba3IQ5g3wxNS65b03quZemj28FAKauP4tWK01DhRDCUGh0OmkF/TQJCQnY2dkRHx+Pra2t2nHEs9w8C792gIxkaPImdJ6udiIh9NbOczd5ZdExAH4Z0YAO3i7PflH8dVg/Hi7vUB5XqA89F4Bz9UJMKgzVsdA4Bvzkj1YHswf60Ote0VmS3UxIpe2MPSSnZzFrQF361HNVO5IQQognyEutWHIvKz/D/Pnz8fb2pmHDhmpHEXnhUhN6/6h8fHgBnPxT3TxC6LF2NVx4pbmyjNH7q08Reefuk3fW6eDEYljgpxTdxubQfhqM3CZFt8iX+LsZjF8eiFYHfXwrSNF9j4utBWPbVgVg+ubzJKXJ6C0hhDAEUng/wZgxYwgODubo0aNqRxF55d0DWn2ofLzhbbgmX0MhnuSDztWp42rHnZQMxi07SWbWY9YQvnMNlvaBdW9BWgK4NoTXD0Dzt8HYpMgzi+JPp9Px8dozRNy5i4ejFZ/1qqV2JL0ysrknno5WxCSmMW/XZbXjCCGEKABSeAvD1OoDqN4NstJhxVClCZQQ4hFmJkbMG1wPG3MTjoXd5rsdFx88qdPBsT+Uu9xXdoGJBXT8HEZuhTIlswGWKBirjl1n4+koTIw0zBnki7W5XMB5mLmJMZ90Vfol/H4g5PlXHxBCCKE6KbyFYTIygt4/gbM3JN2E5UMh4ynDaIUowdwdrZjetzYAC/Zc4cClWLgdBkt6KaNG0hPBrbFyl7vpW2BknKvjLgxcyPwj81kYuLDQsouiNW3PNCZsncC0PdPyfYwrMUlMWXcWgHc7VqOum30BpTMs7Wo409KrDOlZWj7fKMtkCiFEcSfN1Z5BmqsVc3Eh8EsbuHsb6gxUinGNRu1UQuilj9eeYVlAKKOt9vKB8V8YZSSDiSW0+xQav5brgvs+11muRCRGUMGmAtcnXC+k1KIoPe/XNC0ziz4LDnE2MoGmlR1Z+kpjjIzkZ/KTXI5OovPsfWRqdSwa2YhWXmXUjiSEEOIh0lxNiPscKkL/RaAxhtMrwH+e2omE0FtTmpdirfU3fKT9BaOMZHRufvDGQfB7M89FtxCP8+2WC5yNTKC0lSnfDfSRovsZqjhb82JTTwA+W3+WjMf1YBBCCFEsSOEtDF+lVg+WFdv+6YNlkIQQCq0WjvyC+c/N8ck8TYrOnKkZI1hQcQ44Vs73Yed0mcOS3kuY02VOAYYVxdXeizH8eiAEgG/71cXF1kLlRMXD+PZVcbI240pMMosOhaodRwghRD5J4S1KhkajwXc46LSweiTcuqJ2IiH0Q9xVWNQdNr0HGcng0ZzdbdeyMKszs3Zc5lhoXL4P3adGH4bVGUafGn0KMLAojmKT0nh35SkARvh50D43a8YLAGwtTHm/UzUAvt9xidikNJUTCSGEyA8pvEXJoNFA15lKg6jUeFg2SPlbiJJKq4XDP8IPzSDsAJiWghdmwIvreaFlU3r7ViBLq2PcspPcTk5XO60oxrRaHe+tOkVsUhrVXGz4+IUaakcqdvrXd6N2BTsS0zL5dssFteMIIYTIBym8RclhYg4DloBtBYi9CH+PAm2W2qmEKHq3rsDCrrDlA8hIAc8WylzuRqPAyAiNRsP/etWiolMpIuNTeX/1aaQPp8ivPw6FsudCDOYmRswd4ouFqfQLyCsjIw1TeyjLi608fo0z1+XCsRBCFDdSeIuSxcYFBi5V1iO+tBV2fa52IiGKjjYL/Ocrd7nDD4GZNXSdBSPWKY0IH2JtbsK8Ib6YGRux49xN/jgYmufTJaYlkpCWQGJaYgF9AqK4CYqI5+vN5wH4pJs3Xi42Kicqvup7ONDLpzw6HUxdf1YuhgkhRDEjhbcoeSrUgx73upsfmAVBf6ubR4iiEHsJ/ugCWz+GzLtQsRW8cQgavqKse/8YNcvbMamrMix4+uZzeb7LVmN+Dey+sqPGfBlaXBKlpGcybvlJ0rO0dPB2YVhjd7UjFXsfdqmBlZkxx8Nu829gpNpxhBBC5IEU3qJkqtMfmo1XPv5nDEQGqhpHiEKjzYJDc+HH5nAtAMxsoNtsGPEvlPZ45stH+HnQqaYLGVk6xi47QWJqRuFnFgbhfxuCuRqTjIutOV/3rYNGI0uHPa+ydhaMaVMFUC6GJadlqpxICCFEbknhLUqudlOgSgfl7t/yoZAUo3YiIQpWzEX4vRNs+wQyU6FyW3jTHxq8rDQczAWNRsM3fetSwd6SsFspfLw2KNdDXFt5tqJj5Y608mz1PJ+F0CO5/ZpuOhPFsiPX0Gjgu4E+OJQyK6KEhu+V5hVxd7DiZkIaC/ZcVjuOEEKIXNLoZJLQUyUkJGBnZ0d8fDy2trZqxxEF7e4d+LUd3LoM7n7KXFcTeYMoirmsTPCfB7u/hKw0MLeFTl8oS+rl867j8bDbDPjJnyytjq/61GZQIxk2LB4v4s5duszeR0JqJm+2rszEztXVjmRwtp29weglxzEzNmL7hJZ4OJZSO5IQQpRIeakV5Y63KNks7WHwcqUwCfeHze+DXIsSxVn0efi9I+yYohTdVTrAm4eh3oh8F90A9T1K815HZS3hqevPcvGmNEwTj8rS6nhneSAJqZn4uNnzTgcvtSMZpA7eLrSo6kR6lpbPN55TO44QQohckMJbCKeq0Pc3QAPHF8Kx39ROJETeZWXC/pnwUwuIOA7mdtBzAQxdBXYVCuQUr7WsREuvMqRmaBnz5wnupstyfCKnebsucyQ0DmtzE+YM8sXUWN5mFAaNRsOn3bwxNtKwPfgm+y/JVCkhhNB38htRCACvjtB+qvLx5g8g9ICqcYTIk5vB8Ft72PkZZKVD1U4w5jD4Dn2uu9z/ZWSkYdaAujjbmHMpOomp684W2LFF8XcsNI7vd14E4H+9auLuaKVyIsNW1cWGEX5Kg8Rp64PJyNKqnEgIIcTTSOEtxH3NxkPt/qDNhJUj4HaY2omEeLqsDNj3LfzUEiJPgoUd9P4JhqwA2/KFckona3NmD/RBo4EVx67xb2DEE/d9+d+X6bGsBy//+3KhZBFFr+2ittRcUJO2i9rm2B5/N4PxywPR6qC3bwV6+7qqlLBkebu9Fw6lzLgcncQSf/mdJYQQ+szgC+/ExEQaNmyIj48PtWvX5pdfflE7ktBXGg30mAvl6kLKLVg+BNKT1U4lxOPdCIJf2sKuz0GbAdVegDFHoO6gAr3L/ThNqzjxVtuqAHy85gwhsY//f7L9ynbWX1zP9ivbCzWPKDoXb10kOCaYi7cuZm/T6XR8vPYMEXfu4u5gxWc9a6qYsGSxszTN7r3w3Y6L3EpKUzmREEKIJzH4wtvKyoq9e/cSGBhIQEAA06dP59atW2rHEvrK1BIG/QWlnOFmEPzzhjRbE/olKwP2fA0/t4Ybp8GyNPT5Vfm+tSlbZDHGta1Co4oOJKdn8dayE6RlynzvkmrV8etsPB2FiZGGOYN9sbEwVTtSiTKwoRs1y9uSmJrJjG0Xn/0CIYQQqjD4wtvY2BgrK2WeWWpqKllZWbleg1aUUHauMHAJGJlC8L+wb4baiYRQRJ2GX9rAni+Vu9zVu8GbAVCnf6Hf5f4vE2Mj5gzypbSVKUERCUzfdP6RfU69foro96I59fqpIs0mis7VmAdz/Sd09MLHzV7dQCWQsZGGqT2UUQbLj4YTFBGvciIhhBCPo3rhvW/fPrp370758uXRaDT8888/j+yzYMECKlasiIWFBfXr12f//v15OsedO3eoW7curq6uTJw4EScnpwJKLwyWexPoOlP5ePfncH6junlEyZaZrqzJ/UsbuHEGLB2UTvwDl4KNi2qxytpZMHNAXQAWHgpl29kbOZ53tHKkTKkyOFo5qhFPFLK0zCzGLT9JSnoWTSs78nrLympHKrEaejrQo255dDqYuu6s3GAQQgg9pHrhnZycTN26dZk3b95jn1+xYgVvv/02kyZN4uTJk7Ro0YIuXboQHh6evU/9+vWpVavWI38iIyMBsLe359SpU4SEhPDXX39x8+bNIvncRDFX/0VoNFr5eM1oiJa1UoUKIgOVgnvv10rjvxo9YEwA1O5X5He5H6dtdRdGtagIwPurTxNx567KiURRmbH1AkERCZS2MmXWAB+MjNT/fizJPnqhOpamxhwLu826U5FqxxFCCPEfGp0eXRbVaDSsXbuWXr16ZW9r3Lgx9erV44cffsjeVqNGDXr16sX06dPzfI433niDtm3b0r9//8c+n5aWRlrag+YkCQkJuLm5ER8fj62tbZ7PJ4q5rAxY0htC90PpijBqF1g5qJ1KlASZaUrH8v2zQJcFVo7KKIyavdVO9oj0TC39f/Ln1LU71PcozfLRTWT9ZgPlOsuViMQInCzLUSpOaVb68/D6dKxZdP0FxJPN3XmJmdsvUtbWgl3vtcLKzETtSEIIYdASEhKws7PLVa2o1++M0tPTOX78OB07dsyxvWPHjhw6dChXx7h58yYJCQmA8g+zb98+qlWr9sT9p0+fjp2dXfYfNze3/H8CovgzNoX+i8DeHW6HwOqXIStT7VTC0EWcUJqn7ftWKbpr9lY6luth0Q1gZmLE3EG+2JibcDzsNt9tVxo8bbi4gVVnV7Hh4gaVE4qCFn83A4DhTTyk6NYjo1pWwrW0JTcSUvlhzxW14wghhHiIXhfesbGxZGVl4eKScw6ji4sLN27ceMKrcrp+/TotW7akbt26NG/enLFjx1KnTp0n7v/RRx8RHx+f/efatWvP9TkIA1DKEQYvB9NScHUPbJ+sdiJhqDLTYMc0+LU9RAdDqTIwYDH0Xwil9Ls3hbujFV/1VX62/rD3CvsvxfD6htcZsHoAr294XeV0oqBpdTqqudgwqWsNtaOIh1iYGvPJva/JT/uuci0uReVEQggh7isWY5A0/5nHqNPpHtn2JPXr1ycwMDDX5zI3N8fc3Dwv8URJ4FITev8IK4fD4QXgUgt8h6qdShiS68fh3zch5l538Fr9oMs3yoWfYqJrnXIcuuLOnwHhvLMiEK2l3sxkEgUkJV1ZNk4DzBnsi4WpsbqBxCM61SxL08qOHLpyiy82nuPH4fXVjiSEEAI9L7ydnJwwNjZ+5O52dHT0I3fBhSh03j2g1Yew9yvY8DY4eYFbQ7VTieJEmwVhhyDpJli7gEfTe+tyfwmH5oJOq6wh320W1Oiudtp8mdzNm+Nhtzl/IxE3m+FM6FAGW3MbtWOJAnA2Mh7T5P6U1qXQq24lqpWVr6s+0mg0TOlekxfm7GfL2RscuhxL0yr6PWJGCCFKAr0eam5mZkb9+vXZvn17ju3bt2+nadOmhXru+fPn4+3tTcOGUliJh7T6QFk7OSsdVgyFBOkcK3IpeB3MrgWLusHfryh/z/SCOT5w8Hul6K4zUOlYXkyLblCGus4bUg9LU2NuRrXAIrUHo+uPVjuWeE4p6ZmMW3YSy4xO9Kn6Or/1+0jtSOIpqpW1YXgTDwCmrj9LZpZW5URCCCFUL7yTkpIIDAzMHg4eEhJCYGBg9nJhEyZM4Ndff+X333/n3LlzvPPOO4SHh/P664U7Z3DMmDEEBwdz9OjRQj2PKGaMjKD3T+Dsrdy1XD4UMlLVTiX0XfA6WDni0Qs1ybGQGAUWdjBoGfT52SC65ldxtuZ/vWoBMGv7RY6GxqmcSDyv/20I5kpMMi625nzTr06up3sJ9bzT3ovSVqZcvJnE0sNhascRQogST/XC+9ixY/j6+uLr6wsohbavry+ffvopAAMHDmT27Nl89tln+Pj4sG/fPjZt2oSHh4easUVJZm4Ng/4Cy9IQeQLWjwf9WZVP6BttFmz5AHjK94ipFXh1KrJIRaFffVf6+FZAq4Nxy05yOzld7UginzadiWLZkWtoNPDdAB8cSpmpHUnkgp2VKe92VFZxmbX9InHyf1AIIVSlV+t466O8rM0mSpire5U1vnVZ0PFzaPqW2omEvtFqIfBPWDf22fu+uAEqtij8TEUoOS2T7nMPcDU2mXbVnfn1xQZyp7SYibxzl86z95GQmskbrSszopkdWbosjDXGlLMpp3Y88QxZWh3d5h7gXFQCQxu780Xv2mpHEkIIg2Iw63irSeZ4i2eq1Ao6T1c+3v4pXN6hbh6hvoy7EHoQ9s2Apf3ga8/cFd2gTF0wMLV/9OLA3U5EWLzKzvPR/H4wVO1IIg+ytDreXhFIQmomdd3smdDBi4a/NMTtOzca/iK/G4sDYyMNU7t7A7DsSDjBkQkqJxJCiJJLCu8nkDneIlcajQbfYUpjrNUj4dYVtROJopQcC+c2wLZPlLW3p7vBwhdg1//g8nZIiwdji9wdy9rwVmpIz0onQ5uOzb1/gq82n+P09TuqZhK5N3/3ZY6ExGFtbsKcQT6YGstbhuKocSVHutYph1anNFqTgY5CCKEOvV5OTAi9p9FA11kQewmuBcCyQfDqTrCQaQkGR6eDuKsQ7g/hh5U/ty49up91WXBvAu5+4N4YynjDXB9IiOLx87w1YFteWVrMwNRyroVzKWecSzlT0bUsm4NuMPavk2wY1xxbC1O144mnOB4Wx/c7le/v//WqiYdjKZUTiefx8Qs12HnuJkdC4th4JopudcqrHUkIIUocKbyFeF4m5jBgCfzcGmIvwppRSvM1I2O1k4nnkZUBUafh2uEHxXZyzKP7lan+oNB2awylPZULMg/r/LXS1RwNOYvve/t1/sogv1+2DNuS/XH83QxOX48nPC6Fj9ecYe5gX5nvrafi72YwblkgWVodvXzK09vXVe1I4jlVsLfkjVZV+G7HRb7ceI521V2wNDO8nzlCCKHPpPAWoiDYuMCgP+GPLnBxC+z+Atp9qnYqkRepCXD9CIQHKIV2xHHISMm5j7EZlK/3UKHdKHfLf3n3gAGLle7mDy8pZlteKbq9exTs56KH7CxNmTvElwE/+rPhdBTNqjgxuJG72rHEf+h0OiatPUPEnbu4O1hlLwsnir/XWlVi5bFrRNy5yw97rzChg5fakYQQokSRwvsJ5s+fz/z588nKylI7iiguKtSDHnOVO977Z4JLTajVV+1U4kniI5QC+9q9QvvmWWWu/sMs7O8V2fcK7XI+YJrLOdv/5d0DqneFsENKIzVrF2V4uQHe6X6Seu6leb9TNaZvPs/UdWep516aamVt1I4lHrL6+HU2nI7CxEjD94N8sJEpAQbDwtSYSV1r8OafJ/hp7xUGNHDFtbSV2rGEEKLEkOXEnkGWExN5tm0yHJoDJpYwcguU91E7kdBqIebcvSHjAcqw8fjwR/ez97g3N/teoe3kBUbSUKogabU6Ri46yp4LMVRxtmbd2GZYmck1YH1wNSaJbnMPkJKexfudqjGmTZVH9nGd5UpEYgQVbCpwfcJ1FVKK56HT6Rj8y2EOX43jhdplWTC0vtqRhBCiWMtLrSjvdoQoaO2nQvQ5pav18qEweg9Yl1E7VcmScRciTjy4o30tAFLjc+6jMYKytR8U2m5NwFbWJS5I7297n9uptyltUZpvO34LgJGRhpn969Ll+/1cjk5i6rqzfNOvrspJRXqmlvHLA0lJz8KvkiOvt6qsdiRRCDQaDVO616TrnP1sOnODQ1diaVrZSe1YQghRIkjhLURBMzKGvr/Cr+3g1mVYORxGrAMTM7WTGa7kWzmboEUGgjYj5z6mpcCtoVJguzcB1wZgLsOcC9OyoGXZd0fvF94AjtbmzB7kw9BfA1h57DrNqjjR06eCiknFjG0XOBMRj72VKd8N9MHYSBrfGaoa5WwZ2tiDJYfD+Gx9MBveao6JLBUnhBCFTgpvIQqDpT0MXg6/tFWKwc0ToftstVMZhuxlvQ4/uKMde/HR/axdHho23gRcaoOx/MjTF00rOzGubVW+33mJj9ecoY6rPRWdZMkqNey7GMPP+64C8E3fOpS1y2cfA1FsTOjgxfrTkZy/kciyI+EM9/NUO5IQQhg8meP9BA83V7t48aLM8Rb5c3Eb/DUA0EHXmdDwVbUTFT9ZGXDj9INCOzwAkqMf3e/+sl7372g/blkvUaQuxF4gU5uJiZEJ1ZyqPfJ8llbHkF8OExASR83ytqx5synmJiWn2Zw+iE1Ko/Ps/cQmpTGsiTuf96r91P2f9TUVxccS/1Am/3sWeytTdr/bmtKlZFSWEELkVV7meEvh/QzSXE08twPfwY6pYGQCI/4Fz+ZqJ9JvqQlw/eiDQvuZy3o1UdbPzs2yXkLv3IhP5YU5+4lLTuelpp5M7VFT7Uglhk6nY+TCo+y+EIOXizXrxjbHwlQufJQUmVlaus09wPkbiQxv4iFLxwkhRD5I4V2ApPAWz02ng79fhaDVYOUIo3ZDaQ+1U+mP+Ih787MP525ZL7cmUN43/8t6Cb2z+3w0Ly88CsBPw+vTqWZZlROVDH8cDGHa+mDMTIxYN7YZ1cvK77iSxv/KLQb/chgjDWwc14Ia5eR7QAgh8kK6mguhTzQaZX3vW5cg6hQsHwKvbAOzEjifNXtZr8MP/jxzWa8m4FRNlvUyYG2qOzO6ZSV+3neV91edomZ5W1lfuJAFRyYwfdN5AD7pWkOK7hLKr7IjL9Quy6YzN5i2/izLRjVBI1N0hBCiUMgd72eQO96iwMRfh5/bKPOTvXtC/0WGPwf5/rJe9+9oP2tZL7fGSqFtW16dvKJA+V/zJy0rDXNjc/zc/J66b3qmlv4/+XPq2h3quduz4jU/TKXTcqG4m55Ft7n7uRKTTPsazvwyokGui62/zvxFSkYKVqZWDKk9pJCTiqJw/XYK7WbuJS1Ty4Kh9XihtiyrKIQQuSVDzQuQFN6iQIUfhoXdlKWu2nwCrd5XO1HBSr6lFNfZy3qdfPyyXq4NHtzRlmW9DJbrLNfs5cSuT7j+zP2vxaXwwpz9JKZm8kbrynzQuXoRpCx5PlpzhmVHwnG2MWfL2y1xyENTrbx+TUXxMGv7RebsvEQFe0t2vttK5voLIUQuyVBzIfSVexOlu/n6cbD7c3Dxhupd1U6VP/eX9Xq40H7isl5NHhTasqyXeAI3Byu+7luHN/88wQ97rtCkkiOtvMqoHcugbAmKYtmRcDQa+G6gT56KbmG43mhVmdXHrhFx5y4/7b3K+PZV1Y4khBAGR979PsHDy4kJUaDqvwg3g+DIz7BmNLy6A5xrqJ3q2bKX9Xqo0H7csl5O1XIW2rKsV4k1puEYEtISsDXP/WihF2qXY1gTd5YeDmfCikA2j2+Bs6000isIkXfu8sHfZwB4rWVlmlVxUjmR0BeWZsZ83LUGY/86yQ97L9OvgSsV7C3VjiWEEAZFhpo/gww1F4UiKwOW9IbQ/VC6IozapX/LYd1f1uv+He3rx56wrJfvg0JblvUSBSA1I4te8w9y/kYiTSs7suSVxhgbycWb55Gl1TH4l8McCYmjrqsdq99omq859DLU3HDpdDoG/XyYgJA4utUpx7wh9dSOJIQQek+Gmguh74xNleZqv7SG2yGw+mUY+re6Q7ATIu/dyb5XaN8MevyyXvcboLn7ybJeolBYmBozb0g9us89wKErt1iw+zJvtZOhr89jwe7LHAmJo5SZMXMG+0rjOvEIjUbDlO416TZ3PxtORzGsyS2aVHJUO5YQQhgMKbyFUEspRxi8HH7tAFf3wPbJ0Hl60Zxbq4WY8w+GjF87DHeetKxXkweFtizrJYpIFWdrPu9Vi3dXneK7HRdpXMmRRhVlNEV+HA+7zeydlwD4X69aeDiWwKUMRa54l7dlcCN3/gwIZ9r6YDa81VxGmwghRAGRwlsINbnUhN4/wsrhcHgBuNQC36EFf56MVIg88eCO9rXDsqyX0Ht967ty8Eosa05EMG7ZSTaNbyHNwPIoITWD8ctPkqXV0cunPH3quaodSei5dztWY/2pSM5FJbDsSDjDmnioHUkIIQyCFN5CqM27B7T6EPZ+BRveBicvqFAPwg5B0k2lK7hHUzDKw/IuDy/rdS1AWdYrKz3nPqZW4NrwXhO0xsrHsqyXKEANfm7AjaQblLUuy7HRx/J1jP/1rEXgtTtcjUnm/VWn+PXF3K85XdLpdDomrQ3i+u27uDlY8r9etdSOJIoBh1JmTOjgxdT1wczcdoHudcpjZ2WqdiwhhCj2pPAWQh+0+kCZU31+A/zZF0wsIenGg+dty0Pnr5Ui/b90OmWeePjhB3e0Yy88ut/Dy3q5NVbubhvLmylReG4k3SAiMeK5jlHK3IR5g+vRa8FBdp6P5rcDIbzaolIBJTRsq49fZ/2pSIyNNHw/yBcbC/n/LnJnWBMP/joSzsWbSXy34yJTe9RUO5IQQhR7UngLoQ+MjJQh5/ObQMJ14D/DwBOiYOUIGLAYqr1wb1mvww/uaCfdfPSYOZb1aqx0T5c7haIIlbUum+Pv/PIub8vkbt5M/ieIr7ecp6GnA3Xd7AsgoeG6GpPElHVnAZjQwYt67qUL5LgF9TUV+s3E2Igp3Wsy9NcAlhwOY3Ajd6qVlRFRQgjxPGQ5sSd4eB3vixcvynJiovBps2BWjccX0fcZm4PGGDJlWS9Rsuh0Ot788wSbg27g5mDJxnEtsJU7uI+Vnqml7w+HOBMRT5NKDvz5ahNpkCXy5fUlx9ly9gbNqjiy9JXGMs1DCCH+Iy/LiUnh/QyyjrcoMiH7YVG33O1rYQduTWRZL1GixN/NoOuc/Vy/fZeudcoxb7CvFAKPMX3TOX7adxV7K1O2jG9JWTv52SDy51pcCu1m7SU9U8uPw+rRuVY5tSMJIYReyUutKOsCCaEvnnan+2EdPoOJoTB0JbSYAB5+UnSLEsHO0pS5g30xMdKw8XQUy45cUzuS3tl/KYaf9l0F4Ou+daToFs/FzcGK11oqPRU+33iO1IwslRMJIUTxJYW3EPrC2iV3+5WvJ2tpixLL1700EztXA2Da+rOcv5GgciL9cSspjQkrTwEwtLE7nWrKPGzx/N5oXZlydhZcv32XX+5d1BFCCJF38u5dCH3h0fTeutlPGjqrAdsKyn5CFAPT90/nox0fMX3/9AI97qvNK9G6WhnSMrWM+fMEKemZBXr84kin0/H+6tPEJKZR1dmaT7p6F8p5Xlv/Gv1X9ee19a8VyvGF/rEyM+HDLtUBWLDnClHxd1VOJIQQxZMU3kLoCyNjZckw4NHi+97jzl/lbT1vIVQ0/+h8vjr4FfOPzi/Q4xoZaZjZvy4utuZciUlmyr9nC/T4xdHCQ6HsOh+NmYkRc4f4YmlWOD8nNl7ayOrg1Wy8tLFQji/0U4+65WnoWZq7GVlM33Re7ThCCFEsSeEthD7x7qEsGWb7nwY2tuWV7Y9bx1uIEsjR2pzvB/lipIFVx6+z9uR1tSOp5lxUQnYxNOmFGlQvK41ARcHSaDRM6V4TjQbWnYrkaGic2pGEEKLYkXW8hdA33j2gelcIO6Q0XLN2UYaXy51uUcys6r+KtKw0zI3NC+X4TSo5Mq5dVWbvuMSktUHUdbWnUhnrQjmXvrqbnsVby06SnqWlfQ1nRvh5qB1JGKhaFewY1NCdZUfCmbruLOvGNpdl6oQQIg/kjrcQ+sjIGCq2gNr9lL+l6BbFkJ+bH609W+Pn5ldo53irbVWaVHIgJT2LsX+dLHFdl/+3MZjL0Uk425jzTb+6sryaKFTvdfTCxsKEs5EJrDgqqwoIIUReSOEthBCi2DI20vD9IF8cSpkRHJXA9E3n1I5UZLYERfFXQDgaDcwa4INDKTO1IwkD52htzjvtvQCYse0C8SkZKicSQojiQwrvJ5g/fz7e3t40bNhQ7ShCCCGewsXWgpkD6gKwyD+MLUE3VE5U+CLv3OWDv88AMLplJZpXdVI5kSgphvt5UNXZmrjkdGbvvKh2HCGEKDak8H6CMWPGEBwczNGjR9WOIoQQxdKF2AucjT7LhdgLhX6uNtWcea1lJQAmrj7FtbiUQj+nWrK0Ot5ZEUj83QzquNrxbodqakcSJYipsRGfdleWq1vsH8alm4kqJxJCiOJBCm8hhBCFot3idtT6oRbtFrcrkvO916kaPm72JKRmMm75STKytEVy3qK2YPdlAkLiKGVmzJxBvpiZyK9yUbRaVC1DB28XsrQ6PtsQjE6nUzuSEELoPfltLYQQwiCYGhsxd7AvNhYmnAy/w8xthjcM9njYbWbvvATAZz1r4elUSuVEoqSa3NUbMxMj9l+KZXvwTbXjCCGE3pPlxAqATqcjMzOTrKyS1U1XFBxjY2NMTEykI7EwKINrDeZ26m1KW5QusnO6OVjxTd86vPHnCX7cewW/yo608ipTZOcvTAmpGYxffpIsrY6ePuXpU69CkWdQ42sq9JO7oxWjWlRk/u4rfL7xHC29ymBhKitwCCHEk2h0Mj7oqRISErCzsyM+Ph5bW9tHnk9PTycqKoqUFMOdTyiKhpWVFeXKlcPMTDoTC/G8Jv8TxJLDYTiWMmPT+Ba42FqoHem56HQ6xi8PZN2pSFxLW7JpfAtsLUzVjiVKuOS0TNrO3MPNhDTe71SNMW2qqB1JCCGK1LNqxYfJHe/noNVqCQkJwdjYmPLly2NmZiZ3LEWe6XQ60tPTiYmJISQkhKpVq2JkJLNAhHgek7rW4FjYbc5FJfD28kCWvtoYY6Pi+/P57xMRrDsVibGRhjmDfaXoFnqhlLkJH3WpwdsrApm/+zJ967lS1q54X+QSQojCIoX3c0hPT0er1eLm5oaVlZXacUQxZmlpiampKWFhYaSnp2NhIW9chHgeFqbGzBviS/e5B/C/eov5uy8zrl1VtWPlS0hsMp/+GwTAO+2rUs9dhnkL/dHTpzxLDodxPOw2X20+x+xBvmpHEkIIvSS31QqA3J0UBUG+j4QoWJXLWPN5r1oAzN5xkcNXb6mcKO/SM7WMW3aSlPQsmlRy4I3WMpRX6BeNRsPU7jXRaOCfwEiOh8WpHUkIIfSSvNMXQghRKDov7Uy9n+rReWln1TL0qedK33quaHUwfvlJ4pLTVcuSHzO3X+BMRDz2VqZ8N9BH9eHy1edVx3a6LdXnVVc1h9AvtV3tGFDfDYCp64LRaqV9kBBC/JcU3kIIIQpFUHQQJ2+cJCg6SNUcn/WsSaUypbiZkMZ7q04VmzWHD1yK5ae9VwH4um8dytlZqpwIktKTSExPJCk9Se0oQs+837kaNuYmnImIZ9Xxa2rHEUIIvSOFtx7I0urwv3KLfwMj8L9yiywVrxS/9NJL9OrVK8+vmzp1Kj4+PgWS4fbt2wwfPhw7Ozvs7OwYPnw4d+7cKZBjCyGKjpmxWfYfNZUyN2H+kHqYmRix63w0vx0IUTVPbtxKSuOdlYEADG3sTqeaZdUNJMQzOFmbM7690kfh260XSEjNUDmREELoF2muprItQVFMWx9MVHxq9rZydhZM6e5N51rlVEymniFDhnD9+nW2bNkCwOjRoxk+fDjr169XOZkQIi+ujr+qdoRsNcrZ8mk3bz75J4ivNp+ngacDPm72asd6LJ1Ox/urTxOTmEZVZ2s+6eqtdiQhcuXFpp4sOxLOlZhk5uy4xCfd5HtXCCHukzveKtoSFMUbS0/kKLoBbsSn8sbSE2wJiiqU865evZratWtjaWmJo6Mj7du3Jzk5malTp7Jo0SL+/fdfNBoNGo2GPXv2APDBBx/g5eWFlZUVlSpVYvLkyWRkKFezFy5cyLRp0zh16lT26xYuXAhAfHw8o0ePxtnZGVtbW9q2bcupU6eemO3cuXNs2bKFX3/9FT8/P/z8/Pjll1/YsGEDFy5cKJR/DyFEyTC0sTsv1C5LplbHW8tO6O0duUWHQtl1PhozEyPmDPbF0sxY7UhC5IqpsRGfdq8JwMJDoVyOTlQ5kRBC6A+54/0E8+fPZ/78+WRlZeX6NTqdjrsZuds/S6tjyrqzPG5QuQ7QoDQoaVbFKVfNdCxNjXO1hnhUVBSDBw/mm2++oXfv3iQmJrJ//350Oh3vvfce586dIyEhgT/++AMABwcHAGxsbFi4cCHly5fnzJkzjBo1ChsbGyZOnMjAgQMJCgpiy5Yt7NixAwA7Ozt0Oh1du3bFwcGBTZs2YWdnx08//US7du24ePFi9rEf5u/vj52dHY0bN87e1qRJE+zs7Dh06BDVqlV75ucohBCPo9FomN6nDqevx3Mt7i4f/X2GeUN8c/Wzs6ici0rgy83nAfi4S3VqlLNVOZEQedPKqwztaziz41w0n204x6KXG+rV/zEhhFCLFN5PMGbMGMaMGUNCQgJ2dna5es3djCy8P91aIOfXATcSUqk9dVuu9g/+rBNWZs/+ckZFRZGZmUmfPn3w8PAAoHbt2tnPW1pakpaWRtmyOecTfvLJJ9kfe3p68u6777JixQomTpyIpaUl1tbWmJiY5Hjdrl27OHPmDNHR0ZibmwMwY8YM/vnnH1avXs3o0aMfyXfjxg2cnZ0f2e7s7MyNGzee+fkJIcTT2FmaMm9IPfr9cIiNZ6JoesSRoY091I4FwN30LN5adpL0TC3tqjvzYlNPtSMJkS+fdPVm38VY9l2MYee5aNp7u6gdSQghVCdDzUuYunXr0q5dO2rXrk3//v355ZdfuH379jNft3r1apo3b07ZsmWxtrZm8uTJhIeHP/U1x48fJykpCUdHR6ytrbP/hISEcOXKlSe+7nFXxnU6nVwxF6KY+fn4z8zyn8XPx39WO0oOPm72fNBZWQ5r2vpgzkUlqJxI8fnGYC5HJ+FsY843/erIzzxRbHk6lWJk84oA/G9jMGmZuR89KIQQhkrueBcgS1Njgj/rlKt9j4TE8dIfR5+538KXG9Ko4qNDsh937twwNjZm+/btHDp0iG3btjF37lwmTZpEQEAAFStWfOxrDh8+zKBBg5g2bRqdOnXCzs6O5cuXM3PmzKeeS6vVUq5cuex54g+zt7d/7GvKli3LzZs3H9keExODi4tcMReiOPls72dEJEZQwaYCo+s/OsJFTa80r8ihK7HsvhDD2L9OsP6t5rkaNVRYtgTd4M8A5WLmrAE+OFqbq5ZFiIIwtm0V1py4TtitFH4/EMobrSurHUkIIVQld7wLkEajwcrMJFd/WlQtQzk7C550P0OD0t28RdUyuTpeXu6MaDQamjVrxrRp0zh58iRmZmasXbsWADMzs0fmtR88eBAPDw8mTZpEgwYNqFq1KmFhYTn2edzr6tWrx40bNzAxMaFKlSo5/jg5OT02m5+fH/Hx8Rw5ciR7W0BAAPHx8TRt2jTXn6MQQjyNkZGGmQN8cLE150pMMp/+e1a1LFHxd/lwzWkAXmtZieZVH//zUYjixNrchA+7KCNL5u26RHRC6jNeIYQQhk0Kb5UYG2mY0l1ZZuO/JfP9x1O6e+eqsVpeBAQE8OWXX3Ls2DHCw8NZs2YNMTEx1KhRA1Dmb58+fZoLFy4QGxtLRkYGVapUITw8nOXLl3PlyhXmzJmTXajf5+npSUhICIGBgcTGxpKWlkb79u3x8/OjV69ebN26ldDQUA4dOsQnn3zCsWPHHpuvRo0adO7cmVGjRnH48GEOHz7MqFGj6NatmzRWE6KY+bHbj6zst5Ifu/2odpTHcihlxveDfDHSwOrj11lz4nqRZ8jS6nh7eSB3UjKo42rHux31++ecvn9NhX7p5VMBX3d7ktOz+GrLebXjCCGEqqTwVlHnWuX4YVg9ytpZ5Nhe1s6CH4bVK5R1vG1tbdm3bx8vvPACXl5efPLJJ8ycOZMuXboAMGrUKKpVq0aDBg0oU6YMBw8epGfPnrzzzjuMHTsWHx8fDh06xOTJk3Mct2/fvnTu3Jk2bdpQpkwZli1bhkajYdOmTbRs2ZKRI0fi5eXFoEGDCA0Nfeqw8T///JPatWvTsWNHOnbsSJ06dViyZEmB/1sIIQpXN69u9K/Zn25e3dSO8kRNKjkyvp0XAJ/8E8SVmKQiPf8Pey4TEBKHlZkx3w/yxcxEv38tF4evqdAfRkYapt5bXmzNiQhOhD+7p4wQQhgqjU6ne9yKVuKe+13N4+PjsbXNuaxLamoqISEhVKxYEQsLiycc4dmytDqOhMQRnZiKs40FjSo6FPidbqH/Cur7SQiRN1laHcN+DcD/6i1qlLNl7ZtNschl34zncTzsNgN+8idLq2NG/7r0q+9a6OcUQg3vrzrFquPXqetqx9o3m2Ek73GEEAbiabXif+n3pfUSwthIg19lR3r6VMCvsqMU3UIIUYSMjTTMHuSDYykzZR3tTecK/ZwJqRmMX36SLK2OHnXL07dehUI/pxBqeb9zNazNTTh1PZ7VKkzpEEIIfSCFtxBCiEJxK+UWMckx3Eq5pXaUZ3KxtWDmgLoALPYPY/OZqEI7l06nY/I/QVy/fRfX0pZ83rtWsVk67Hjkcfyv+XM88rjaUUQx4mxjwbh2VQD4ZssFElMzVE4khBBFTwpvIYQQhaLuj3VxnuFM3R/rqh0lV1pXc+a1VpUAmPj3aa7FpRTKedaciODfwEiMjTR8P8gXWwvTQjlPYei5vCdNf29Kz+U91Y4iipmXmlakklMpYpPSmLvrstpxhBCiyEnhLYQQQtzzXsdq+Lrbk5iaybjlJ8nI0hbo8UNjk/n03yAA3m5XlfoepQv0+ELoKzMTIybfW83lj4MhXC3iRoZCCKE2KbyFEEIUig6VO9DdqzsdKndQO0qumRobMWeQL7YWJpwMv8OMbRcK7NjpmVrGLT9JcnoWjSs68GabKgV2bCGKgzbVnGlb3ZmMLB3/2xCsdhxhILK0Ovyv3OLfwAj8r9wiSyt9o4V+MlE7gBBCCMP0R88/1I6QL24OVnzTrw6vLz3BT3uv0qSSI22qOT/3cWduv8Dp6/HYWZry3UAfaaQpSqTJ3bzZfymG3Rdi2HX+Jm2rP3l5USGeZUtQFNPWBxMVn5q9rZydBVO6exfKsrxCPA+54y2EEEL8R+da5Rjh5wHAuytPcTMh9RmveLoDl2L5ae9VAL7uW4fy9pbPnVGI4qiiUylGNqsIwP82nCM9s2Cnc4iSY0tQFG8sPZGj6Aa4EZ/KG0tPsCWo8JpkCpEfUngLIYQQj/HxCzXwLmdLXHI6by8PzPfwxVtJaUxYGQjAkMbudK5VtgBTClH8jG1bBSdrc0Jik/njYIjacUQxlKXVMW19MI/7qXx/27T1wTLsXOgVKbyFEEKIx7AwNWbeEF+szIzxv3qLefnoxKzT6fjg79NEJ6ZRxdmayV29CyGpEMWLjYUpH3SuBsDcXZeJTny+ESWi5DkSEvfIne6H6YCo+FSOhMQVXSghnkEKbyGEEIVi6JqhdFraiaFrhqodJd8qlbHmi961APh+50UOX83bmuSL/cPYcS4as3tN2yzNjAsjphDFTt96rtR1sycpLZNvthRcE0NRMuT2Yo1c1BH6RApvfaDNgpD9cGa18rc2S7UoL730Er169crz66ZOnYqPj0+BZPjiiy9o2rQpVlZW2NvbF8gxhRBFb2/oXrZd2cbe0L1qR3kuvX1d6VffFa0Oxi8/ya2ktFy97lxUAl9sOgfARy9Ux7u8bWHGFKJYMTLSMPXe8mKrj18n8NoddQOJYiE1I4tVx67x/Y5Ludo/JDa5wJeFFCK/SkzhnZKSgoeHB++9957aUXIKXgeza8GibvD3K8rfs2sp20uo9PR0+vfvzxtvvKF2FCGEAOCznjWpXKYUNxPSeHfVKbTPmDd4Nz2LcctOkp6ppW11Z15q6lk0QYUoRnzdS9O3nisAU9edfeb/K1FyXYtLYfqmczSZvpP3V5/mamxyrl43e8clmn+9i+93XJK730J1Jabw/uKLL2jcuLHaMXIKXgcrR0BCZM7tCVHK9kIqvlevXk3t2rWxtLTE0dGR9u3bk5yczNSpU1m0aBH//vsvGo0GjUbDnj17APjggw/w8vLCysqKSpUqMXnyZDIyMgBYuHAh06ZN49SpU9mvW7hwIQDx8fGMHj0aZ2dnbG1tadu2LadOnXpqvmnTpvHOO+9Qu3btQvn8hRBF49yYc8R/GM+5MefUjvLcrMxMmD+0HuYmRuy5EMOvB64+df/PNwZzKTqJMjbmfNuvDhqNYSwdZkhfU6EfPuhcjVJmxgReu8PakxFqxxF6RKvVsedCNCMXHqXlt7v5ad9V7qRkUMHekvc7VeObfnXQAP/96Xr/cedaLjiWMuNmQhrf7bhI0+m7eGvZSY6GxqHTyUUeUfRKxDrely5d4vz583Tv3p2goKDCO5FOBxkpudtXmwWbJ8IT+zFqYMsHUKk1GOViTqCpFeTijV1UVBSDBw/mm2++oXfv3iQmJrJ//350Oh3vvfce586dIyEhgT/+UNbfdXBwAMDGxoaFCxdSvnx5zpw5w6hRo7CxsWHixIkMHDiQoKAgtmzZwo4dOwCws7NDp9PRtWtXHBwc2LRpE3Z2dvz000+0a9eOixcvZh9bCGGYbMxt1I5QoKqXteXT7t5MWhvEN1su0NDTAV/30o/styXoBn8GhAMwa0BdHK3NizpqoTG0r6lQn7OtBW+1q8pXm8/z1ZbzdKpVFmvzEvH2VDxBfEoGq45fY+nhMEJvPXhf3aKqE8ObeNCuhgvGRsp7XlsLk0fW8S770DreaZlZbD5zg8X+oZwIv8P6U5GsPxVJ9bI2jPDzpJdveazM5PtNFA3Vv9P27dvHt99+y/Hjx4mKimLt2rWPzDFesGAB3377LVFRUdSsWZPZs2fTokWLXJ/jvffe49tvv+XQoUMFnP4/MlLgy/IFdDCdcif8K7fc7f5xJJiVeuZuUVFRZGZm0qdPHzw8lDVqH76zbGlpSVpaGmXL5lzu5pNPPsn+2NPTk3fffZcVK1YwceJELC0tsba2xsTEJMfrdu3axZkzZ4iOjsbcXHnjOWPGDP755x9Wr17N6NGjc/e5CSGEnhjSyJ1Dl2+x8UwUby07ycZxLbCzNM1+Pir+Lh+uOQ3Aay0r0aJqGbWiClFsvNzMk+VHwgm9lcLcXZf4qEsNtSMJFQRFxLPEP4x/T0WQmqHMy7YxN6FfA1eGNfGgchnrR17TuVY5OniX5UhIHNGJqTjbWNCookN2YW5uYkwv3wr08q1AUEQ8i/1D+TcwkvM3Evl47Rmmbz5Hv/quDG/iQaXHHF+IgqR64Z2cnEzdunV5+eWX6du37yPPr1ixgrfffpsFCxbQrFkzfvrpJ7p06UJwcDDu7u4A1K9fn7S0R5vdbNu2jaNHj+Ll5YWXl1fhF97FQN26dWnXrh21a9emU6dOdOzYkX79+lG69KN3bR62evVqZs+ezeXLl0lKSiIzMxNb26c3Cjp+/DhJSUk4Ojrm2H737l2uXLny3J+LEEIUNY1Gw/S+tTkdcYdrcXf58O9TjPDzJDoxDSdrc+bsvMidlAxqV7Dj3Y7V1I4rRLFgbmLM5G7evLLoGL8fCGFQQ3cqOj37ZoIo/tIys9gSdINFh5Q70vdVL2vDcD8PevlUoNQzRkAYG2nwq+z41H0AalWw45t+dfn4hRqsOnadJYfDCI9L4Y+DofxxMJQWVZ0Y4edJ2+rO2YW7EAVJ9cK7S5cudOnS5YnPz5o1i1deeYVXX30VgNmzZ7N161Z++OEHpk+fDigF3pMcPnyY5cuXs2rVKpKSksjIyMDW1pZPP/30sfunpaXlKOITEhJy/8mYWil3nnMj7BD82e/Z+w1dDR5Nc3fuXDA2Nmb79u0cOnSIbdu2MXfuXCZNmkRAQAAVK1Z87GsOHz7MoEGDmDZtGp06dcLOzo7ly5czc+bMp55Lq9VSrly57HniD5Nu5UIYvjXn1pCSkYKVqRV9avRRO06BsbUwZd7gevT54SCbg26yOehmjufNTIyYM9gXMxPDa6Myy38WCWkJ2JrbMsFvgtpxhAFpW92ZVl5l2Hsxhs83BPPbSw3VjiQKUeSdu/wVEM7yo+HEJqUDYGKkoXOtsozw86ShZ+lC641hb2XGqJaVeKV5RfZeimGJfxi7L0Sz/1Is+y/FUsHekqFN3BnYwM2gpgoJ9aleeD9Neno6x48f58MPP8yxvWPHjrm+ez19+vTsAn3hwoUEBQU9sei+v/+0adPyF1ijydVwbwAqtwXb8kojtcfO89Yoz1dum7s53nmg0Who1qwZzZo149NPP8XDw4O1a9cyYcIEzMzMyMrKuZzZwYMH8fDwYNKkSdnbwsLCcuzzuNfVq1ePGzduYGJigqenZ4F+DkII/Tdu8zgiEiOoYFPBoApvUIaUP2mFmvRMLRduJBjkHbtZ/rOyv6ZSeIuCpNFomNzNm4Oz97HzfDR7LkTTupqz2rFEAdLpdBy6covF/qFsD77J/Sb2LrbmDGnkweBGbjjbWhRZHiMjDW2qOdOmmjPht1L4MyCMFceuEXHnLt9sucDs7ZfoVqccI5p64uNmX2S5hOHS68I7NjaWrKwsXFxccmx3cXHhxo0bhXLOjz76iAkTHryZSEhIwM0tl/Os88LIGDp/rXQvR0PO4vveFb7OXxV40R0QEMDOnTvp2LEjzs7OBAQEEBMTQ40aynwqT09Ptm7dyoULF3B0dMTOzo4qVaoQHh7O8uXLadiwIRs3bmTt2rU5juvp6UlISAiBgYG4urpiY2ND+/bt8fPzo1evXnz99ddUq1aNyMhINm3aRK9evWjQoMFjM4aHhxMXF0d4eDhZWVkEBgYCUKVKFaytZf6NEEJdWVod09YHP/F5DTBtfTAdvMvKcEUh8qCKszUvN/Pkl/0hfLYhmKaVnQxy5EhJk5iawZoTESz2D+VKzINlwBpXdODFpp508HbB1Fjdr7O7oxUfvVCDdzp4se5UJEv8wzgTEc+akxGsORlBHVc7hjfxoHvd8liYFux7c1Fy6HXhfd9/h5rodLp8DT956aWXnrmPubl5diOwQufdAwYsVrqXP7ykmG15pej27lHgp7S1tWXfvn3Mnj2bhIQEPDw8mDlzZvZw/1GjRrFnzx4aNGhAUlISu3fvpmfPnrzzzjuMHTuWtLQ0unbtyuTJk5k6dWr2cfv27cuaNWto06YNd+7c4Y8//uCll15i06ZNTJo0iZEjRxITE0PZsmVp2bLlIxdTHvbpp5+yaNGi7Me+vr4A7N69m9atWxf4v4kQonB83vZzktOTKZXbkUDFxJGQuBwddP9LB0TFp3IkJC5X8w6FEA+81a4qa09GcDUmmcX+obzaopLakUQ+XbyZyGL/UNaeiCA5XRkVWcrMmN71KjC8iSfVyurfKgkWpsYMaOBG//quBF67wxL/MDacjuL09XjeX32aLzadY2ADN4Y18cDNIXfTPIW4T6PTo4XsNBpNjq7m6enpWFlZsWrVKnr37p293/jx4wkMDGTv3r2FnikhIQE7Ozvi4+MfaSaWmppKSEgIFStWxMLiOYbGaLOUOd9JN8HaRZnTXcB3uoX+K7DvJyFEofo3MILxywOfud/3g3zo6VOh8AMVIddZrtlDza9PuK52HGGgVh69xsS/T2NjbsKu91pTxkbm2RYXGVlatp29yWL/UAJC4rK3Vy5TihF+nvSpVwEbC9OnHEH/3EpKY8Wxa/x5OJyIO3cBZXZpm2rODPfzoFXVMhjJ6KYS62m14n/p9R1vMzMz6tevz/bt23MU3tu3b6dnz56Feu758+czf/78R+YtFwojY6iY++XRhBBCqMfZJncXxnK7nxAip371XVkaEMbp6/F8u/U83/Srq3Yk8QzRCan8dSScZUfCuZmgNCk20kBH77KM8PPAr7JjoTVLK2yO1ua82boKr7WszM5zN1lyOIz9l2LZdT6aXeej8XC0YngTD/rXd8POqnhdVBBFS/XCOykpicuXL2c/vj9P2MHBAXd3dyZMmMDw4cNp0KABfn5+/Pzzz4SHh/P6668Xaq4xY8YwZsyY7KsYQgghBECjig6Us7PgRnzqk1pjUtZOWUtWCJF3RkYapnSvSd8fDrHq+HWGNfGgjqu92rHEf+h0Oo6G3maxfyhbgm6Qea9bmpO1GYMaujOksTvl7S1VTllwjI00dKxZlo41y3I1Joklh8NYffw6YbdS+HzjOWZsu0DPuhUY7udBrQpSO4hHqV54Hzt2jDZt2mQ/vt/Y7MUXX2ThwoUMHDiQW7du8dlnnxEVFUWtWrXYtGkTHh4eakUWQghRghkbaZjS3Zs3lp54UmtMpnT3lsZqQjyH+h6l6e1bgbUnI5i67ix/v9G02N4xNTTJaZn8ExjBEv8wzt9IzN5e36M0I/w86FyrLOYmhj1lslIZa6Z0r8n7narxz8lIFvuHcv5GIiuOXWPFsWvUc7dnhJ8nXWob/r+FyD29muOtj4pkjrcQyPeTMDyGPh94S1AU09YH52i0Vs7Ogindvelcq5yKyQqPoX9NhX65mZBKmxl7SEnP4ruBdent66p2pBLtSkwSS/zD+Pv4dRLTMgGwMDWil49yl7dm+ZJ7l1en03Es7DaL/cPYfCYqx93/gQ3dGNrYw6Du/osHDGaOt5qKdI63EEKIYqdzrXJ08C7LkZA4ohNTcbZRhpfLnW4hCoaLrQVj21bhmy0X+GrzeTp6l6WUubx1LUqZWVp2no9miX8YBy7HZm/3dLRimMxrzqbRaGjo6UBDTweiu9Vg+ZFr/BkQxs2ENObvvsIPe67QvoYLLzb1pGkxnu8uno/c8X4GueMtiop8PwlD02NZD2JSYihjVYZ1g9epHUcUAPmaiqKWlplFx+/2EXYrhTdbV2Zi5+pqRyoRbiWlsfzoNf4KyNnJu201Z0Y09aRFFSfp5P0MGVlatgcrHd4PX83Z4X14Ew/61nctdh3exaPycsdbCu9nkMJbFBX5fhJCCCEetT34JqMWH8PM2IjtE1ri4VhK7UgGSafTcfLe2tUbT0eRnqUFoLSVKQMaujGssaxdnV8XbyayxD+MNSeuZ69pbmVmTG/fCozw0881zUXuSOFdgKTwFkVFvp+EEEKIR+l0Okb8foT9l2JpX8OFX19soHYkg5KakcW6wEgWHw4lKCIhe3tdVzuG+3nSrU45LEylQVhBSEzNYO3JCBb7h3E5Oil7e6OKDrzo50nHmi6YGhupmFDklczxFkIIIYQQBkGjUVYS6Dx7PzvO3WTfxRhaepVRO1axF34rhaUBYaw8do07KRkAmJkY0a1OOUb4eeLjZq9uQANkY2HKCD9PhjfxwP/KLRb7h7H93E2OhMRxJCQOF1tzBjdyZ0gjd5xt5SaMoZFLKk8wf/58vL29adiwodpRisSePXvQaDTcuXOnSM+7cOFC7O3tn+sYoaGhaDQaAgMDn7iPWp+fEEIIIZ5fFWcbRvh5AvDZhmAy7g2DFnmj1erYfT6al/84QqsZu/l531XupGRQwd6SDzpX5/BH7Zg1wEeK7kKm0WhoWsWJH4fX58AHbXirbRWcrM25mZDG7B2XaPrVLsb8dYKAq7eQwcmGQwrvJxgzZgzBwcEcPXpU7SgFrnXr1rz99ttqx9A7np6eaDQali9f/shzNWvWRKPRsHDhwhz7z549+7HHunXrFp07d6Z8+fKYm5vj5ubG2LFjSUhIeOz+Qhiitza9xbA1w3hr01tqRxEFpMeyHvj95kePZT3UjiJKoPHtq+JYyozL0Uks9g9TO06xciclnZ/3XaH1jD28vPAouy/EoNNBS68y/DqiAfsmtuGN1pVxKGWmdtQSp5ydJe92rMahD9vy/SAfGniUJlOrY+PpKAb+fJgu3+/nz4Awku8t4SaKLxlqLvItIyMDU1PD6sbo5ubGH3/8waBBg7K3HT58mBs3blCqVO6buRgZGdGzZ08+//xzypQpw+XLlxkzZgxxcXH89ddfhRFdCL2z9vza7DWf574wV+04ogCciDqR/TUVoqjZWZryXqdqfLTmDLN3XKSXT3kcrc3VjqXXgiLiWewfyr+BkaRlKqMEbC1M6N/AjWFNPKjoJI3q9IWZiRE9fSrQ06cCZyPjWXo4jLUnIzh/I5FJa4P4atN5+tZ3ZbifB5XLWKsdV+SD3PEuYV566SX27t3L999/j0ajQaPREBoamv388ePHadCgAVZWVjRt2pQLFy5kPzd16lR8fHz4/fffqVSpEubm5uh0OuLj4xk9ejTOzs7Y2trStm1bTp06lf26U6dO0aZNG2xsbLC1taV+/focO3YsR66tW7dSo0YNrK2t6dy5M1FRUdnPabVaPvvsM1xdXTE3N8fHx4ctW7Y89fPctGkTXl5eWFpa0qZNmxyf49MMHTqUvXv3cu3atextv//+O0OHDsXEJPfXqUqXLs0bb7xBgwYN8PDwoF27drz55pvs378/18cQQgghRE4DGrhRq4ItiamZzNh24dkvKIHSMrNYe/I6vRccpNvcA6w8dp20TC01ytnyVZ/aHP64HZO7eUvRrcdqlrdjep86BHzUnk+61sDT0YrEtEwWHgql3cy9DPs1gK1nb5ApUy6KFSm8S5jvv/8ePz8/Ro0aRVRUFFFRUbi5uWU/P2nSJGbOnMmxY8cwMTFh5MiROV5/+fJlVq5cyd9//509p7pr167cuHGDTZs2cfz4cerVq0e7du2Ii1PWLBw6dCiurq4cPXqU48eP8+GHH+a4U56SksKMGTNYsmQJ+/btIzw8nPfeey9H5pkzZzJjxgxOnz5Np06d6NGjB5cuXXrs53jt2jX69OnDCy+8QGBgIK+++ioffvhhrv59XFxc6NSpE4sWLcrOtmLFikf+HfIqMjKSNWvW0KpVq+c6jhDFyf6X93PprUvsf1kuOAkhCoaxkYap3WsCsPzoNYIi4lVOpD8i7tzlmy3naTp9F++sOMXJ8DuYGmvoUbc8q1/3Y9O45gxq5I6VmQx4LS7srEx5tUUldr3bmkUjG9G+hjMaDRy4HMtrS47T8pvdzN99mdikNLWjilyQwvsJnqe52iz/WbjOcsV1lit7QvfkeC7kdkj2c4+b99hjWY/s5/9rYeDC7OfWnFuT51wAdnZ2mJmZYWVlRdmyZSlbtizGxg+WiPjiiy9o1aoV3t7efPjhhxw6dIjU1NTs59PT01myZAm+vr7UqVOH3bt3c+bMGVatWkWDBg2oWrUqM2bMwN7entWrVwMQHh5O+/btqV69OlWrVqV///7UrVs3+5gZGRn8+OOPNGjQgHr16jF27Fh27tyZ/fyMGTP44IMPGDRoENWqVePrr7/Gx8fnifOrf/jhBypVqsR3331HtWrVGDp0KC+99FKu/41GjhzJwoUL0el0rF69msqVK+Pj45Pr1z9s8ODBWFlZUaFCBWxtbfn111/zdRwhiqOKpStSxaEKFUtXVDuKEMKANPB0oKdPeXQ6mLrubIluPqXT6ThwKZZRi4/R4utdLNhzhVvJ6ZS1teDdDl4c/LAtcwb70sDTAY1Go3ZckU9GRhpaeZXh1xcbsu/9NrzeqjKlrUyJjE/l260X7l1sCeRE+O0S/f9B30nh/QTP01wtIS2BiMQIIhIjSMvMeQUqS5eV/dzt1NuPvDYmJSb7+f9KTk/Ofi4lIyXPuXKjTp062R+XK1cOgOjo6OxtHh4elCnzYAmP48ePk5SUhKOjI9bW1tl/QkJCuHLlCgATJkzg1VdfpX379nz11VfZ2++zsrKicuXKOc57/5wJCQlERkbSrFmzHK9p1qwZ586de+zncO7cOZo0aZLjF4yfn1+u/w26du1KUlIS+/bt4/fff3+uu93fffcdJ06c4J9//uHKlStMmDAh38cSQgghhOLDLtWxNDXmWNht1p2KVDtOkUtIzeCPgyG0m7WXYb8FsD34JlodNK3syI/D6imdsttVxdlGlqQyNG4OVnzYpTr+H7VjZv+61HW1Iz1Ly9qTEfRZcIju8w6w8ug1UjOy1I4q/kPGmhQCW3Pb7MYz5iY5m34Ya4yznyttUfqR15axKvPEpjWlzEplP2dlalWQkbM9PAT8fuGq1T6YP/LfBmNarZZy5cqxZ8+eR451f5mwqVOnMmTIEDZu3MjmzZuZMmUKy5cvp3fv3o+c8/55/3u17r9XaXU63ROv3D7vlT4TExOGDx/OlClTCAgIYO3atfk+1v1RBdWrV8fR0ZEWLVowefLk7IsaQgghhMi7cnaWjGlTmRnbLjJ903k6eLuUiCHU528ksNg/jH9ORpCSrhRW1uYm9KlXgeFNPKjqYqNyQlFULEyN6Vvflb71XTl17Q6L/cNYfzqSoIgEJv59mi82nWNAA1eGNfHAw1Hm8+sDw/8JpYIJfhOY4Pf4O5sVS1fk+oTrT3ztusHrnvjcSz4v8ZLPS88bDzMzM7KyCuYqWL169bhx4wYmJiZ4eno+cT8vLy+8vLx45513GDx4MH/88Ud24f00tra2lC9fngMHDtCyZcvs7YcOHaJRo0aPfY23tzf//PNPjm2HDx/O1edz38iRI5kxYwYDBw6kdOlHL5Dkx/0LAmlpMg9HlAx7QveQlpmGuYk5rT1bqx1HCGFgXm1RiRXHrnEt7i4Ldl/hvU7V1I5UKDKytGwJusES/zCOhMZlb6/qbM0IPw9613PF2lze0pdkdd3smelmz6SuNVh57BpLD4dx/fZdftkfwq8HQmjlVYYRfh609nLGyEimHKhF/peWQJ6engQEBBAaGoq1tTUODg75Plb79u3x8/OjV69efP3111SrVo3IyEg2bdpEr169qFmzJu+//z79+vWjYsWKXL9+naNHj9K3b99cn+P9999nypQp2XOt//jjDwIDA/nzzz8fu//rr7/OzJkzmTBhAq+99hrHjx/Psf52btSoUYPY2FisrJ4+siAiIiK7ydx97u7uHD58mJs3b9KwYUOsra0JDg5m4sSJNGvW7KkXKIQwJMPWDMteeuppFxyFECI/LEyNmfSCN68vPc7P+68yoIEb7o6FMyJQDTcTUvkzIJxlR8KJSVQu2hsbaehU04XhTTxpUknmbYucHEqZ8XqryoxqUYk9F6JZ7B/G3osx7Lmg/HF3sGJYE3cGNHDD3krWbC9qUniXQO+99x4vvvgi3t7e3L17l5CQkHwfS6PRsGnTJiZNmsTIkSOJiYmhbNmytGzZEhcXF4yNjbl16xYjRozg5s2bODk50adPH6ZNm5brc4wbN46EhATeffddoqOj8fb2Zt26dVStWvWx+7u7u/P333/zzjvvsGDBAho1asSXX36Z57najo6Oz9xnxowZzJgxI8e2P/74Aw8PD3755Rfeeecd0tLScHNzo0+fPrnuri6EEEKIZ+tU04XmVZw4cDmWLzYF89PwBmpHei46nY6AkDiW+Icpy0VpldFyTtbmDGnkxuDG7pSzs1Q5pdB3xkYa2tVwoV0NF0Jik1l6OIxVx64RHpfCl5vOM3PbRXrULc8IP09qu9qpHbfE0Oik9d1TJSQkYGdnR3x8PLa2tjmeS01NJSQkhIoVK2JhIc0rxPOR7ydhaGb5zyIhLQFbc9snTr8RxYt8TYU+unQzkc7f7ydLq2PpK41pXtVJ7Uh5lpyWyZqTESz1D+PCzcTs7Q09SzPcz5PONctiZiI9kUX+3U3P4t/ACBb7hxEclZC93cfNnhF+HnStUw5zE+OnHEE8ztNqxf+SwvsJ5s+fz/z588nKyuLixYtSeItCJ99PQgghRP5MXXeWhYdCqepszabxLTA1Lh5F6uXoJJb4h/L3iQiS0jIBsDQ1ppev0izNu/zT38gLkVc6nY4T4bdZ7B/GpjNRZGQppaBjKTMGNnRjaBMPKtjLqIrcksK7AMkdb1FU5PtJCCGEyJ/4lAxaz9jN7ZQMpnT35uVmFdWO9ESZWVp2nItmyeFQDl6+lb29klMphjXxoG99V+wsTZ9yBCEKRkxiGiuOhvNnQDhR8akAGGmgXQ0XRvh50LyKk/QReAYpvAuQFN6iqMj3kxBCCJF/fwaEMWltELYWJux+rzWO1ubPflERik1KY/mRcP4KCCfyMUVOs8pO0nFaqEK5GHSTxf5hHLry6MWgfg1csbWQi0GPI4V3AZLCWxQV+X4SQui7xLREdOjQoMHGXNYLFvolS6uj+9wDBEclMKSxO1/2rq12pHvDeu+w2D80x7Beh/vDehu741racDqxi+LvcnQiS/zDckx/sDJTpj+M8POgelmZ/vAwKbwLkBTeoqjI95MwNHV+qENUUhTlrMtx+o3TascRBcB1lqssESf02pGQOAb85I9GAxveak7N8up0bL6bnsW6U0ojq7ORjzayeqF2OSxMpZGV0F9JaZmsPRnBEv9QLt5Myt7eyNOB4X4edJKGf0DeCm9ZTkwIIUShiLsbR2xKLObG+jXcUwhhuBpVdKB73fKsPxXJtHXBrHitSZHOUQ29v3TT8evE380AwNzESJZuEsWOtbkJw5t4MKyxO4evxrHkcChbz97kSGgcR0LjKGNjzuBG7gxp5E5ZO7lhlBtSeAshhCgUnvaeWJhYUNa6rNpRhBAlyEddqrM9+AZHQuPYcDqK7nXLF+r5srQ69lyIZrF/GHsvxmRvd3OwZFhjDwY0cKN0KbNCzSBEYdFoNPhVdsSvsiM34lP560g4y46EE5OYxpydl5i/+zKdarowws+TxhUdpBnbU0jh/QQPLycmhBAi7w6MPKB2BCFECVTe3pI3W1dh1vaLfLnpHO1qOGNlVvBveW8np7Py2DWWBoRxLe4uABoNtPIqwwg/D1p5OWMszdKEASlrZ8GEDl6MbVOFrWdvsMQ/jCOhcWw6c4NNZ27g5WLNcD9PevtWwNpcysz/kjnezyBzvEVRke8nIYS+kzneorhIzcii/ay9XL99l3FtqzChY7UCO/bp63dY7B/G+lORpGVqAbCzNGVAA1eGNfHAw7FUgZ1LCH13LiqBJYfDWHsigrsZyg1La3MT+tarwHA/D6o4G3YjzrzM8ZYZ8QKAPXv2oNFouHPnTpGed+HChdjb2z/XMUJDQ9FoNAQGBj5xH7U+PyGEEEIUPQtTYya9UAOAn/Zd5VpcynMdLzUji7+PX6fn/IP0mHeQ1cevk5appVYFW77pW4fDH7VjUldvKbpFiVOjnC1f9q5NwKR2TOnuTSWnUiSlZbLIP4z2s/Yx5JfDbAmKIjNLq3ZU1UnhXQK1bt2at99+W+0YesfT0xONRsPy5csfea5mzZpoNBoWLlyYY//Zs2c/8Xjjx4+nfv36mJub4+PjU/CBhRBCCPFEnWuVxa+SI2mZWr7cdC5fx7gWl8JXm8/T9KtdvLvqFKeu3cHM2IhePuVZ82ZT1o9tzoCGbliaSYdyUbLZWpjycrOK7JjQiiWvNKKDtwtGGjh05RavLz1Bi292M2/XJWIS09SOqhoZfC/yLSMjA1NTU7VjFCg3Nzf++OMPBg0alL3t8OHD3Lhxg1Kl8nYVW6fTMXLkSAICAjh9WpZSEiXPtD3TiE+Lx87cjimtp6gdRwhRwmg0Gqb08OaF7/ezOegGh67E0rSy0zNfp9XqOHA5lsX+Yew6fxPtvUmZ5e0sGNrEg4EN3XCyltUahHgcIyMNLaqWoUXVMly/ncJfAeEsP3qNqPhUZmy7yPc7L/FC7XKM8POgnnvpEtWMTe54lzAvvfQSe/fu5fvvv0ej0aDRaAgNDc1+/vjx4zRo0AArKyuaNm3KhQsXsp+bOnUqPj4+/P7771SqVAlzc3N0Oh3x8fGMHj0aZ2dnbG1tadu2LadOncp+3alTp2jTpg02NjbY2tpSv359jh07liPX1q1bqVGjBtbW1nTu3JmoqKjs57RaLZ999hmurq7Zd4+3bNny1M9z06ZNeHl5/Z+9+46OourDOP7d9ASSQKgBQq+hV6kioBSRKoioCGIBxQIoKCoC1tcCYgkWFMUKiPQOSpWOhN57CYSaAqTP+8dANNJSdjObzfM5h0NmMpl5kptJ8tt75158fX1p0aJFms/xVh5++GGWL1/OsWPHUvdNmDCBhx9+GA+PjL1O9emnnzJgwADKli2boY8TcRXj/x7Px2s/Zvzf462OIiK5VOWiAfRqWAqAkTN3sGrfGWaGn2DNgXMkp6Sd5ijqSiLfrjpEqzHLeXTCepbsMovupuUL8lWvuqwY2oIBLcqr6BZJpxL5/RjatjJrhrXk4x41qV0yH4nJBjPDT3L/F2to/+kqJq0/ypWE6yezTk4xWHPg3E3v15xIPd65zCeffMLevXupVq0ab775JgCFChVKLUxfe+01Ro8eTaFChejfvz99+/blr7/+Sv34/fv3M2XKFH7//Xfc3c1hVe3btycoKIh58+YRGBjIV199RatWrdi7dy9BQUE8/PDD1K5dmy+++AJ3d3fCw8PT9JRfvnyZjz76iB9//BE3NzceeeQRXnrpJX7++efUzKNHj+arr76idu3aTJgwgY4dO7Jjxw4qVKhw3ed47NgxunbtSv/+/Xn66afZuHEjL774Yrq+PkWKFKFNmzZMnDiR119/ncuXLzN58mSWL1/ODz/8kKmvuYiIiFhn0D0VmbrpOHsjY3nk2/Wp+4MDfRjRIZSSQXn4ce1hZmw+mTo5lL+3B/fXNSdLK184r1XRRVyCt4c7XWqXoEvtEmw7HsUPaw4za8tJdkZE88q0bbw7bxfd64XQq2EpShfMw4LtEYyavZOIqLjUc1y7X9tWC7bwM8kaFd4OMGbNGMasGXPb4+oE12FWz1lp9nX8tSN/R/x9248d3GgwgxsNznC2wMBAvLy88PPzo2jR69fWfeedd2jevDkAr7zyCu3btycuLi51lu2EhAR+/PFHChUqBMCff/7Jtm3biIyMxNvbfAX4o48+YsaMGUydOpWnnnqKo0ePMmTIECpXrgxwXbGcmJjIl19+Sbly5QB49tlnU18UuHa+l19+OXX49/vvv8/SpUsZO3YsYWFh130OX3zxBWXLluXjjz/GZrNRqVIltm3bxvvvv5+ur1Hfvn158cUXee2115g6dSrlypXTM9oimTDzwZkkJCfg5a71a12F2lRyorUHz3HpBj1qEVFx9P8p7d9clYr406tRKbrULk4eLYckYnfVSwTyYfeavHpvFX7bdIyf1h7l6PnLfLvqEN+uOkRocAA7I6Kv+7hTUXE8/dPffPFInRxbfOsnigNEx0dzIubEbY8LCQy5bt+Zy2fS9bHR8dd/Q9pDjRo1Ut8ODja/qSMjIylZsiQApUqVSi26wRyaHhsbS4ECBdKc58qVKxw4cACAwYMH88QTT/Djjz9y9913071799QiG8DPzy/NdnBwMJGRkYA5Rf/Jkydp0qRJmvM3adIkzXD2f9u1axcNGzZM88xIo0aN0v01aN++Pf369WPFihVMmDCBvn37pvtjReQfdYvVtTqC2JnaVHKa5BSDUbN33va4e6sXpXej0jQoE5SrnjkVsUr+PF48dWc5nmhaluV7z/DDmsMs3XPmhkU3gAHYgFGzd3JPaFHc3XLefarC2wECvAMo7l/8tscV8it0w33p+dgA71uvE5dZ/x4Cfu0XT0rKP9P//3eCsZSUFIKDg1m2bNl157q2TNjIkSN56KGHmDt3LvPnz2fEiBFMmjSJLl26XHfNa9f97/Ly//0laBjGTX8xZnVpeg8PD3r16sWIESNYt24d06dPz9L5RERExBrrD51PM1z1Zno1LM0dZQvc9jgRsS83NxstKhemReXCzNh8nIGTb9yxBmbxHREVx/pD52lULufdryq8HSCzw8CB64aeO4KXlxfJydcPucqMOnXqcOrUKTw8PChduvRNj6tYsSIVK1Zk0KBB9OzZk++++y618L6VgIAAihUrxqpVq7jzzjtT969evZoGDRrc8GNCQ0OZMWNGmn1r165N1+dzTd++ffnoo4/o0aMH+fPnz9DHioiIiHOIjLl90Z2R40TEcdI72iSn3q8qvG8iLCyMsLAwuxWozqR06dKsW7eOw4cPkzdvXoKCgjJ9rrvvvptGjRrRuXNn3n//fSpVqsTJkyeZN28enTt3pmrVqgwZMoRu3bpRpkwZjh8/zoYNG7j//vvTfY0hQ4YwYsSI1Getv/vuO8LDw1MnX/uv/v37M3r0aAYPHky/fv3YtGlTmvW306NKlSqcPXsWPz+/Wx534sQJwsPD0+wrWbIkQUFB7N+/n9jYWE6dOsWVK1dSjwsNDcXLS89HiuvbdnobiSmJeLp5Ur1IdavjiB3M2TuHK4lX8PX05b6K91kdR+S2Cvv72PU4EXEcV79fVXjfxIABAxgwYADR0dEEBgZaHceuXnrpJXr37k1oaChXrlzh0KFDmT6XzWZj3rx5vPbaa/Tt25czZ85QtGhR7rzzTooUKYK7uzvnzp3j0Ucf5fTp0xQsWJCuXbsyatSodF/j+eefJzo6mhdffJHIyEhCQ0OZNWvWDWc0B7Pw/f333xk0aBDjxo2jQYMGvPvuuxl+Vvu/z63fyEcffcRHH32UZt93331Hnz59eOKJJ1i+fHnq/tq1awNw6NChW44OEHEV7X5ux4mYExT3L87xwcetjiN20H9Of7Wp5CgNygQRHOjDqag4bvQgmg0oGuhDgzKZ74QQEftw9fvVZmT1gVgXd63wjoqKIiAg7XPVcXFxHDp0iDJlyqTO+i2SWfp+EldTYkwJFWkuRm0qOdGC7RE8fXX28n//0XttUGtOniVZxNXktPv1VrXif7llUyYREclletfszTP1nqF3zd5WRxGRXKxttWC+eKQORQPTvqhdNNDH6f6IF8ntXPl+1VBzERFxiHdavWN1BBERwPxj/p7Qoqw/dJ7ImDgK+5vDVXPikkQirs5V71cV3iIiIiLi8tzdbDlyCSKR3MgV71cNNRcRERERERFxIBXeIiIiIiIiIg6koeZ2kJKSYnUEcQH6PhJX03JiS05fOk2RPEX4s/efVscRERERsYwK7yzw8vLCzc2NkydPUqhQIby8vLDZcvZD/5L9DMMgISGBM2fO4ObmhpeXl9WRROxi77m9nIg5QVRclNVRRERERCylwjsL3NzcKFOmDBEREZw8edLqOJLD+fn5UbJkSdzc9ASIuIa8Xnnx9/Inr1deq6OInahNRUREMsdmGIZx+8Nyr/Qsim4YBklJSSQnJ2dzOnEV7u7ueHh4aMSEiIiIiEgOkZ5a8Rr1eNuBzWbD09MTT09Pq6OIiIiIiIiIk9GYVhEREREREREHUuF9E2FhYYSGhlK/fn2ro4iIiIiIiEgOpme8byMj4/ZFROQfn6//nJj4GPy9/Xm2wbNWxxE7GLJoCBfiLpDfJz8ftv7Q6jgiIiKW0jPednTtdYno6GiLk4iI5CzvLnmXiJgIgv2DebTyo1bHETv4eePPqW06vOFwq+OIiIhY6lqNmJ6+bPV438bx48cJCQmxOoaIiIiIiIg4oWPHjlGiRIlbHqPC+zZSUlI4efIk/v7+TrvUU3R0NCEhIRw7dkzD4V2I2tU1qV1dj9rUNaldXZPa1TWpXV1TTmhXwzCIiYmhWLFiuLndevo0DTW/DTc3t9u+euEsAgICnPabUjJP7eqa1K6uR23qmtSurknt6prUrq7J2ds1MDAwXcdpVnMRERERERERB1LhLSIiIiIiIuJAKrxdgLe3NyNGjMDb29vqKGJHalfXpHZ1PWpT16R2dU1qV9ekdnVNrtaumlxNRERERERExIHU4y0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTC2wksW7aM0qVLW3LtGTNmcPToUUuu7erUrq5J7eqa1K6uSe3qetSmrknt6prUrmmp8HZS48aNo0yZMvj4+FC3bl1WrlzpkGNmzpzJuHHjHPZ5SFr2aLMVK1bQoUMHihUrhs1mY8aMGdedQ+2avezRZuk5j9o1e9mjXXW/Ohd73YvpOUbtmj3s1aa6V52LvX6+gu5VZ2Kvds2p96sKbyc0efJkBg4cyGuvvcbmzZtp1qwZ7dq1S/Oqjb2O6dy5MzNnzszWzy+3slebXbp0iZo1a/L555/f9Fpq1+xjrzbT/epc7NWuul+di73uRd2vzsNebap71bnY6+er7lXnYq92zbH3qyGWW7p0qVGqVKnU7QYNGhj9+/dPc0zlypWNV155xe7HXL582fDz8zP27Nljj09F/sVR7fpvgDF9+vTr9qtdHScz7fpvN2sz3a/WclS7pucYtavj/Ldd/y0r96LuV+s4qk3Tcx61qeNkpl3Tc4zuVWs5ql3Tc4wztqt6vJ1MQkICmzZtonXr1mn2t27dmtWrV9v1GABfX1/uuece53tFyMXYs83SQ+2aPezVZrpfnYs978X0ULs6D/1+dT363Zp76V7N3ZyxXVV4O5mzZ8+SnJxMkSJF0uwvUqQIp06dsusx13Tq1Mmpvildkb3bLD3Uro5nrzbT/epc7H0vpofa1Tno96vr0e/W3Ev3qjhbu6rwdlI2my3NtmEY1+2z1zEdOnRg7dq1nDt3Lqux5Tbs1WbpoXbNPvZqM92vzsVe7Zoealfnot+vrke/W3Mv3au5l7O1qwpvJ1OwYEHc3d2veyUuMjIy9RU7ex1zzYkTJ8ibNy8BAQH2/nTkKnu3WXqoXR3PXm2m+9W52PteTA+1q3PQ71fXo9+tuZfuVXG2dlXh7WS8vLyoW7cuixcvTrN/8eLFNG7c2K7HXDNz5kzuvfdePD097f3pyFX2brP0ULs6nr3aTPerc7H3vZgealfnoN+vrke/W3Mv3avibO3qYXUAud7gwYPp1asX9erVo1GjRnz99dccPXqU/v372/0YMBeYf/nll7Pt88ut7NVmsbGx7N+/P3X70KFDhIeHExQURMmSJVP3q12zh73aTPerc7FXu+p+dS72uhd1vzoPe7Wp7lXnYq+fr7pXnYu92jXH3q/WTKYu/3ajqfbDwsKMUqVKGV5eXkadOnWM5cuXX/dx9jjm6NGjhpeXlxEVFWXXz0kc165Lly41gOv+9e7dO/UYtavjZKZd09Nm6TmP2tVxHNWuul+t9d92tde9mJ5j1K6O4ag21b1qrcy0q363Oj9HtWtOvV9VeDuBW61x52iffvqp0bp1a0uu7erUrq5J7eqa1K6uSe3qetSmrknt6prUrmnpGe9cbubMmXTs2NHqGGJnalfXpHZ1TWpX16R2dT1qU9ekdnVNztiuesY7l1uyZInVEcQB1K6uSe3qmtSurknt6nrUpq5J7eqanLFd1ePtBEqXLs3AgQOtjiF2pnZ1TWpX16R2dU1qV9ejNnVNalfXpHZNy2YYhmF1CBERERERERFXpR5vEREREREREQdS4S0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTCW0RERERERMSBVHiLiIhD9enTB5vNRv/+/a973zPPPIPNZqNPnz7ZH8zF3HXXXQwcONDlriUiIuIKVHiLiIjDhYSEMGnSJK5cuZK6Ly4ujl9//ZWSJUtamCx9EhISrI4gIiIiOZgKbxERcbg6depQsmRJpk2blrpv2rRphISEULt27dR9hmHwwQcfULZsWXx9falZsyZTp05Nc64FCxbQtGlT8uXLR4ECBbjvvvs4cOBAmmOmTp1K9erV8fX1pUCBAtx9991cunQJgNKlSzN27Ng0x9eqVYuRI0embt911108++yzDB48mIIFC3LPPfekK9tdd93Fc889x8CBA8mfPz9FihTh66+/5tKlSzz22GP4+/tTrlw55s+fn6HP+a677uL5559n6NChBAUFUbRo0TR5+/Tpw/Lly/nkk0+w2WzYbDYOHz58w7aIj4/n+eefp3Dhwvj4+NC0aVM2bNiQ+v7bfX1udq2UlBTef/99ypcvj7e3NyVLluSdd95J93Uz87VL79fvVt8P/3X48GFsNhvTpk3jzjvvxNfXl7p163L48GGWLVtGgwYN8PPzo0WLFpw/f/6G58iOc2bn+UVExA4MERERB+rdu7fRqVMnY8yYMUarVq1S97dq1cr4+OOPjU6dOhm9e/c2DMMwXn31VaNy5crGggULjAMHDhjfffed4e3tbSxbtiz146ZOnWr8/vvvxt69e43NmzcbHTp0MKpXr24kJycbhmEYJ0+eNDw8PIwxY8YYhw4dMrZu3WqEhYUZMTExhmEYRqlSpYyPP/44TcaaNWsaI0aMSN1u3ry5kTdvXmPIkCHG7t27jV27dqUrW/PmzQ1/f3/jrbfeMvbu3Wu89dZbhpubm9GuXTvj66+/Nvbu3Ws8/fTTRoECBYxLly6l+3Nu3ry5ERAQYIwcOdLYu3evMXHiRMNmsxmLFi0yDMMwLl68aDRq1Mh48sknjYiICCMiIsJISkq6YXs8//zzRrFixYx58+YZO3bsMHr37m3kz5/fOHfuXLq+Pje71tChQ438+fMb33//vbF//35j5cqVxvjx49N93cx87dLz9bvd98N/TZ8+3QCMVq1aGStXrjQ2b95slCpVymjatKnRtm1bY/369ca6deuMAgUKGB988MENz5Ed58zO84uISNap8BYREYe6VnifOXPG8Pb2Ng4dOmQcPnzY8PHxMc6cOZNaeMfGxho+Pj7G6tWr03z8448/bvTs2fOm54+MjDQAY9u2bYZhGMamTZsMwDh8+PANj09v4V2rVq3U7fRma968udG0adPU7aSkJCNPnjxGr169UvdFREQYgLFmzZpMn9cwDKN+/frGyy+/nOaYF1544Yaf878/D09PT+Pnn39O3ZeQkGAUK1YstSBL79fn39eKjo42vL290xTaGb1uRr921857u6/f7b4f/mvkyJFG/vz5jTNnzqTu69Onj1GyZEkjNjY2dV/btm2NwYMHp26vXLnSePfdd+16zunTpxsDBw50WObp06ff9ntGRETsw8O6vnYREclNChYsSPv27Zk4cSKGYdC+fXsKFiyY+v6dO3cSFxfHPffck+bjEhIS0gxHP3DgAMOHD2ft2rWcPXuWlJQUAI4ePUq1atWoWbMmrVq1onr16rRp04bWrVvTrVs38ufPn6G89erVy3A2gBo1aqS+7e7uToECBahevXrqviJFigAQGRmZ6fMCBAcHExkZmaHP6cCBAyQmJtKkSZPUfZ6enjRo0IBdu3Zl6Fz/tmvXLuLj42nVqlWWrpuRrx2kr10y+v0QHh5Ox44d03xvHj16lJ49e5InT540+9q3b5+63bRpU5o2bWrXc27dupWaNWve8Jz2Ov9/v69ERMQxVHiLiEi26du3L88++ywAYWFhad53rYCeO3cuxYsXT/M+b2/v1Lc7dOhASEgI48ePp1ixYqSkpFCtWrXUCdDc3d1ZvHgxq1evZtGiRXz22We89tprrFu3jjJlyuDm5oZhGGnOn5iYeF3Wfxcs6c0GZkH5bzabLc0+m82Wes6snvfax6fXtc/7WoZ/77+2L71fn3/z9fXN8nUhY1+7f/9/q6/f7b4f/mvLli0MHTo0zb7w8PDU71swJwbcu3cvtWrVSt3XpUsXRowYkWZfVs+5detWOnbsSFRUFA8//DBdunTh8ccft+v577333uvOJyIi9qfJ1UREJNu0bduWhIQEEhISaNOmTZr3hYaG4u3tzdGjRylfvnyafyEhIQCcO3eOXbt28frrr9OqVSuqVKnChQsXrruOzWajSZMmjBo1is2bN+Pl5cX06dMBKFSoEBEREanHRkdHc+jQoVvmTk+2zLDneb28vEhOTr7lMeXLl8fLy4tVq1al7ktMTGTjxo1UqVIFSN/X57/XqlChAr6+vvzxxx+Zvm5mpPfrd6vvh3+Ljo7m8OHDaUYbHDlyhPPnz6fZt2PHDpKTk9P0Ru/ateuGn0tWzrl79268vb1p27YtAwcOvGHRnZXz79ixg6pVq153ThERsT/1eIuISLZxd3dPHVrs7u6e5n3+/v689NJLDBo0iJSUFJo2bUp0dDSrV68mb9689O7dm/z581OgQAG+/vprgoODOXr0KK+88kqa86xbt44//viD1q1bU7hwYdatW8eZM2dSi6KWLVvy/fff06FDB/Lnz8/w4cOvy/Jf6cmWGfY8b+nSpVm3bh2HDx8mb968BAUF4eaW9vX1PHny8PTTTzNkyBCCgoIoWbIkH3zwAZcvX04t6tLz9bnRtV5++WWGDh2Kl5cXTZo04cyZM+zYsYPHH388Xdd11Nfvdt8P/7Zlyxbc3NzSDL8ODw8nX758lC5dOs1xZcuWxd/fH4BLly7h4eFx3SiFrJzz8uXLnDx5kp49e/Lzzz/ftEDOyvnd3NxuO1pBRETsQ4W3iIhkq4CAgJu+76233qJw4cK89957HDx4kHz58lGnTh1effVVwBwGPWnSJJ5//nmqVatGpUqV+PTTT7nrrrvSnH/FihWMHTuW6OhoSpUqxejRo2nXrh0Aw4YN4+DBg9x3330EBgby1ltv3bbHOz3ZMste533ppZfo3bs3oaGhXLlyhUOHDqUpvK753//+R0pKCr169SImJoZ69eqxcOHC1Gee0/P1udG1hg8fjoeHB2+88QYnT54kODiY/v37p/u6mXW7r9/tvh/+bcuWLVSuXDlNMbp58+brnrPesmVLmiHb27dvp1q1aqnb33//PY899hiGYWTpnA0bNuTEiRPXDcG31/nV2y0ikn1sxn8f5BIRERGRdPvmm284ffo0r732GgAjR45k2bJlLFu2LEvnPHPmDK1bt+app55ixYoVqfMO2Ov8p06d4vXXX8/0OUREJP30jLeIiIhIFmzbti3N7OsLFy7kgw8+yPI5q1WrRt26dXnqqad44okn7H5+zWguIpJ91OMtIiIikgV16tRh7ty5BAcHWx1FRESclHq8RURERDIhISGBOnXq0LZtWxXdIiJyS+rxFhEREREREXEg9XiLiIiIiIiIOJAKbxEREREREREHUuEtIiIiIiIi4kAqvEVEREREREQcSIW3iIiIiIiIiAOp8BYRERERERFxIBXeIiIiIiIiIg6kwltERERERETEgVR4i4iIiIiIiDiQCm8RERERERERB1LhLSIiIiIiIuJAKrxFREREREREHEiFt4iIiIiIiIgDqfAWERERERERcSAV3iIiIiIiIiIOpMJbRERERERExIFUeIuIiIiIiIg4kApvERGRHG7t2rV0796d4OBgvLy8CA4O5oEHHmDDhg1ZOq/NZuPZZ5+97XHLli3DZrOxbNmy1H3z5s1j5MiR6b7WN998Q+fOnSldujS+vr6UL1+ep59+moiIiEwkFxERcS4qvEVERHKwzz77jCZNmnD8+HE++OADlixZwocffsixY8do2LAhX3/9tcMz1KlThzVr1lCnTp3UffPmzWPUqFHpPseIESPImzcv7777LgsWLGDo0KHMmTOHunXrcvr0aUfEFhERyTYeVgcQERGRzPnrr78YOHAg9957L9OnT8fD459f6w8++CBdunThmWeeoXbt2tSvX99hOQICAmjYsGGWzrF582YKFy6cut28eXPq1KlD/fr1GT9+PK+//npWY4qIiFhGPd4iIiI51HvvvYfNZuOLL75IU3QDeHh4MG7cuNTjrunTpw+lS5e+7lwjR47EZrPd8DpfffUVFStWxNvbm9DQUCZNmpTm/f8dat6nTx/CwsIAc7j6tX+HDx++6efy76L7mrp16+Lu7s6xY8du+nEiIiI5gXq8RUREcqDk5GSWLl1KvXr1KFGixA2PCQkJoW7duixZsoSUlBTc3DL+evusWbNYunQpb775Jnny5GHcuHH07NkTDw8PunXrdsOPGT58OJcuXWLq1KmsWbMmdX9wcHCGrr18+XKSk5OpWrVqhnOLiIg4ExXeIiIiOdDZs2e5fPkyZcqUueVxZcqUYf369Zw/f56CBQtm6jobNmygSJEiANx7771Uq1aNYcOG3bTwLleuXOrxmR2CHhMTwzPPPENISAh9+/bN1DlERESchYaai4iIuDDDMABuOoz8dlq1apVaRAO4u7vTo0cP9u/fz/Hjx+2S8b/i4uLo2rUrR44c4bfffiNv3rwOuY6IiEh2UeEtIiKSAxUsWBA/Pz8OHTp0y+MOHz6Mr68vBQoUyNR1ihYtetN9586dy9Q5byU+Pp4uXbqwatUqZs2axR133GH3a4iIiGQ3Fd4iIiI5kLu7Oy1btmTjxo037Xk+fvw4mzZtomXLlqn7fHx8iI+Pv+7Ys2fP3vAcp06duum+zBbzNxMfH0/nzp1ZunQpM2bMoFWrVnY9v4iIiFVUeIuIiORQr7zyCoZh8Mwzz5CcnJzmfcnJyTz99NMkJyfzwgsvpO4vXbo0kZGRadbGTkhIYOHChTe8xh9//JHm2OTkZCZPnky5cuVuOqkbgLe3NwBXrlxJ1+dyraf7zz//5Pfff6dNmzbp+jgREZGcQIW3iIhIDtWkSRPGjh3LnDlzaNq0KT///DMrV67k559/plmzZsyZM4eRI0dyzz33pH5Mjx49cHd358EHH2TevHlMmzaN1q1bX1e4X1OwYEFatmzJpEmTmD17Nvfddx+7d+/mnXfeuWW26tWrA/D++++zbt06Nm7cSEJCwk2P79atG/Pnz2fIkCEUKFCAtWvXpv7buXNnJr46IiIizsNmXJt1RURERHKkNWvWMHr0aFatWsWZM2dISUnBx8eH33//nXvvvfe64+fPn8+rr77Knj17CA4OZvDgwZw5c4ZRo0bx7z8LbDYbAwYMoGrVqowePZqjR49Srlw5hg8fzkMPPZR63LJly2jRogVLly7lrrvuAsxe9AEDBjBz5kzOnj2LYRgcOnTohmuIX7vWzTRv3jx1jXAREZGcSIW3iIiIi/nhhx/o3bs3Q4cO5f3337c6joiISK6ndbxFRERczKOPPkpERASvvPIKefLk4Y033rA6koiISK6mHm8RERERERERB9LkaiIiIiIiIiIOpMJbRERERERExIFUeIuIiIiIiIg4kApvEREREREREQfSrOa3kZKSwsmTJ/H397/lGqMiIiIiIiKSexiGQUxMDMWKFcPN7dZ92iq8b+PkyZOEhIRYHUNERERERESc0LFjxyhRosQtj1HhfRv+/v6A+cUMCAiwOI2IiIiIiIg4g+joaEJCQlJrxltR4X0b14aXBwQEqPAWERERERGRNNLzSLImVxMRERERERFxIBXeIiIiIiIiIg6kwltERERERETEgVR4i4iIiIiIiDiQCm8RERERERERB1LhLSIiIiIiIuJAKrxFREREREREHEiFt4iIiIiIiIgDqfAWERERERERcSAV3iIiIiIiIiIOpMJbRERERERExIFUeIuIiIiIiIg4kApvEREREREREQfKFYX3nDlzqFSpEhUqVOCbb76xOo6IiIiIiIjkIh5WB3C0pKQkBg8ezNKlSwkICKBOnTp07dqVoKAgq6OJiIiIiIhILuDyPd7r16+natWqFC9eHH9/f+69914WLlxodSwRERERERHJJZy+8F6xYgUdOnSgWLFi2Gw2ZsyYcd0x48aNo0yZMvj4+FC3bl1WrlyZ+r6TJ09SvHjx1O0SJUpw4sSJ7IieLZJTDNYcOMfM8BOsOXCO5BTD6kgiIuKixqwZw8hlIxmzZozVUURERHIUpx9qfunSJWrWrMljjz3G/ffff937J0+ezMCBAxk3bhxNmjThq6++ol27duzcuZOSJUtiGNcXojabLTuiO9yC7RGMmr2TiKi41H3BgT6M6BBK22rBFiYTERFXNGbNGE7EnKC4f3EGNxpsdRwREZEcw+l7vNu1a8fbb79N165db/j+MWPG8Pjjj/PEE09QpUoVxo4dS0hICF988QUAxYsXT9PDffz4cYKDc35RumB7BE//9HeaohvgVFQcT//0Nwu2R1iUTETEFBMfQ3R8NDHxMVZHEREREbGU0xfet5KQkMCmTZto3bp1mv2tW7dm9erVADRo0IDt27dz4sQJYmJimDdvHm3atLnpOePj44mOjk7zz9kkpxiMmr2TGw0qv7Zv1OydGnYuIpaqElaFwP8FUiWsitVRRERERCyVowvvs2fPkpycTJEiRdLsL1KkCKdOnQLAw8OD0aNH06JFC2rXrs2QIUMoUKDATc/53nvvERgYmPovJCTEoZ9DZqw/dP66nu5/M4CIqDjWHzqffaFERERERETkhpz+Ge/0+O8z24ZhpNnXsWNHOnbsmK5zDRs2jMGD/3luLTo62umK78iYmxfdmTlORMQRmpduztnLZynoV9DqKGInalMREZHMydGFd8GCBXF3d0/t3b4mMjLyul7w9PL29sbb29se8RymsL+PXY8TEXGEn7v+bHUEsTO1qYiIZIuUZDiyGmJPQ94iUKoxuLlbnSpLcnTh7eXlRd26dVm8eDFdunRJ3b948WI6depkYTLHalAmiOBAH05Fxd3wOW8bUDTQhwZlgrI7moiIiIiISObtnAULXobok//sCygGbd+H0PSNYnZGTv+Md2xsLOHh4YSHhwNw6NAhwsPDOXr0KACDBw/mm2++YcKECezatYtBgwZx9OhR+vfvn6XrhoWFERoaSv369bP6Kdidu5uNER1CAbPI/i8DeOO+UNzdXGPZNBERERERyQV2zoIpj6YtugGiI8z9O2dZk8sObMaNFrp2IsuWLaNFixbX7e/duzfff/89AOPGjeODDz4gIiKCatWq8fHHH3PnnXfa5frR0dEEBgYSFRVFQECAXc5pLzdax/uaD7rV4IF6zvVsuoiIiIiIyA2lJMPYatcX3alsZs/3wG1OM+w8I7Wi0xfeVnPmwhvMpcXWHzpPZEwchf192HT0PB8t3Iuflztzn29GmYJ5rI4oIrnUYzMf49zlcxTwK8B3nb6zOo7YQcuJLTl96TRF8hThz95/Wh1HRERcyaGVMPG+2x/Xew6Uaeb4POmQkVoxRz/jLeaw80bl/lkerUGZIFbtO8vag+cZOGkzU59ujKe70z9RICIuaPGBxZyIOUFx/+JWRxE72XtuLydiThAVF2V1FBERcTWxp+17nJNRRXYTzvyM9624u9kY80AtAnw82HI8ik+W7LM6koiIiIiIyK3lKZy+4/JmbvUqq6nwvokBAwawc+dONmzYYHWUDCuWz5f3utYAIGzZftYdPGdxIhHJjbb030LkS5Fs6b/F6igiIiLizC6fh9Wf3eYgGwQUN5cWy4FUeLuo9jWC6Va3BIYBg6dsIepKotWRRCSXKeBXgEJ5ClHAr8DtDxYREZHc6cTf8HVz2L8I3Dyv7vzv6kxXt9v+z2kmVssoFd4ubGTHqpQq4MeJi1d4fcZ2NI+eiIiIiIg4BcOADd/ChDZw8SjkLw1P/gkP/AgBwWmPDSgGD/yQo9fx1uRqLiyvtwdje9Si25drmL3lJC0qFaJrnRJWxxIRERERkdws4RLMGQRbJ5vbldpD53Hgmw+Ca0Dl9nBktTmRWt4i5vDyHNrTfY0K75sICwsjLCyM5ORkq6NkSe2S+RnYqgKjF+/ljZk7qFcqiJIF/KyOJSK5wJy9c7iSeAVfT1/uq5iO5UFERETE9Z3dB5N7wZldYHOHVm9AkxfA9q/h5W7uTrNkmL1oHe/bcPZ1vNMjOcXgwa/XsOHwBeqUzMeUfo3w0BJjIuJgJcaUSF1O7Pjg41bHETtQm4qISJbsmA4zn4WEWLMnu9sEKN3U6lSZlpFaUdVXLnBtiTF/bw/+PnqRz5futzqSiIiIiIjkFkkJMP8V+K2PWXSXagL9VuToojujNNQ8lwgJ8uPtLtV4YVI4n/6xj2YVClK3VJDVsUTEhb3R/A1iE2LJ65XX6ihiJ2pTERHJsKgTZsF9fL253eQFaPkGuOeuUlRDzW/DFYaa/9ugyeFM33yCEvl9mf9CM/x9PG//QSIiIiIiIhl1YCn8/jhcPgfegdDlC3PiNBehoeZyU6M6VaVEfl+OX7jCiJk7rI4jIiIiIiKuJiUFln8AP3Yxi+6i1aHfMpcqujNKhfdNhIWFERoaSv369a2OYlcBPp6M7VELNxtM23yCmeEnrI4kIiIiIiKu4vJ5+OUBWPoOYEDtXvD4Yggqa3UyS2mo+W242lDza8Ys3sunf+zD38eD+S80o0R+LTEmIiK3FhETQbKRjLvNnWD/YKvjiIiIszmxCab0hqhj4OED7UdD7UesTuUwGmout/V8y/LULpmPmLgkBk/eQnKKXn8REfsq+0lZvN/2puwnufsVbldSf3x9Qj4Oof541xoNJiIiWWQYsOEbmNDWLLrzlzF7uV246M4oFd65lIe7G5/0qE0eL3fWHz7PF8u0xJiI2FdCckLqPxEREXFRCZdg2lMw90VIToDK90G/5RBcw+pkTkWFdy5WsoAfb3aqBsDHS/YRfuyitYFExKVUK1yN2kVrU61wNaujiIiIiCOc2QvjW8K2KWBzh3vegh4/gU+g1cmcTu5aPE2u07VOcZbuiWTO1ghemLSZec83I4+3vi1EJOsWPLLA6ggiIiLiKNunwaznICEW8haBbt9B6SZWp3Ja6vHO5Ww2G+90rk6xQB+OnLvMqNlaYkxERERERG4iKQHmvwxTHzOL7tLNoN9KFd23ocL7Jlx1ObEbCfTzZEyPWthsMGXjceZti7A6koiIiIiIOJuo4/D9vbDuS3O76SDoNQP8i1gaKydQ4X0TAwYMYOfOnWzYsMHqKNmiYdkCPHNXOQCGTdvGyYtXLE4kIiIiIiJO48Cf8NWdcHyD+Qx3z0lw90hw12Oq6aHCW1INvLsiNUoEEnUlkcFTwrXEmIhkyZBFQ3hi1hMMWTTE6igiIiKSWSkpsOx9+LErXD4HwTXhqeVQqZ3VyXIUFd6SytPdjU8erI2vpztrD55n/MqDVkcSkRzs1+2/8u3mb/l1+69WRxEREZHMuHQOfu4Gy94FDKjTG/ougqAyVifLcVR4SxplCuZhZMdQAEYv2sO241EWJxIRERERkWx3fJM5tPzAH+DhC52/gI6fgqeP1clyJA3Il+s8UC+EpbvPsGDHKV6YvJk5zzXFz0vfKiKSMX88+gdJKUl4uOnnh6tQm4qI5AKGARu+gQXDICURgsrBAz9A0WpWJ8vRbIZh6EHeW4iOjiYwMJCoqCgCAgKsjpNtLl5OoO3YlZyKjqNng5K817W61ZFERERERMSR4mNh9guwfaq5XaUDdAozJ1OT62SkVtRQc7mhfH5ejHmgJjYb/Lr+KAt3nLI6koiIiIiIOMqZPTC+pVl029yh9TvwwI8quu1EhbfcVOPyBXmqWVkAXvl9K6ej4yxOJCIiIiIidrdtKnzdAs7uAf9g6DMXGj8LNpvVyVyGHtK6ibCwMMLCwkhOTrY6iqUGt67Iqv1n2XEympd+28LExxrg5qYbUERub82xNcQnx+Pt7k2jkEZWxxE7+GXbL1xOvIyfpx8PVX/I6jgiIpJVSQmw6DVY/7W5XeZOuP9byFvY2lwuSM9430Zufcb73/ZHxnLfZyuJS0zh9fZVeOJqL7iIyK2UGFOCEzEnKO5fnOODj1sdR+xAbSoi4kIuHoPf+sCJjeZ2sxehxWvg5m5prJxEz3iLXZUvnJfh95lLjH2wYA87TmqJMRERERGRHGv/EnOpsBMbzWe4e06GVm+o6HYgDTWXdHmoQUmW7j7Dkl2neWFSOLOfbYqvl25MEbm5AfUHEB0fTYB37hwtJCIi4nRSkmH5B7D8fcCA4JrmUmH5S1udzOWp8JZ0sdlsvH9/ddp+cpH9kbG8N38Xb3bSWn4icnPDmg2zOoKIiIhcc+kcTHsCDvxpbtd9DNr+Dzx9rM2VS2iouaRbgbzefNS9JgA/rDnCH7tOW5xIRERERERu6/hGc2j5gT/Bwxe6fAUdxqrozkYqvCVDmlcsRN8mZQAYOnUrZ2LiLU4kIiIiIiI3ZBiw7iuY0Baij0NQOXjyD6j5oNXJch0V3pJhQ9tWonJRf85dSmDI1C1oYnwREREREScTHwu/Pw7zh0JKIoR2gqeWQZGqVifLlVR4S4b5eLrzac/aeHu4sWzPGSauPmx1JBFxQvW+rkeJMSWo93U9q6OIiIjkLpG7YXwL2P47uHlAm/eg+0Tw0YSnVlHhLZlSsYg/r95bBYB35+9mz6kYixOJiLM5FXuKEzEnOBV7yuooIiIiuce2qTC+JZzdC/7B0GcuNHoGbDark+VqKrxvIiwsjNDQUOrXr291FKf1aKNStKhUiISkFF6YtJm4xGSrI4mIEymatyjF/YtTNG9Rq6OInahNRUScWFI8zH3RHF6eeAnKNId+K6FkQ6uTCWAz9IDuLUVHRxMYGEhUVBQBARqa8V9nYuJp98kKzsYm0LdJGd7oEGp1JBERERGR3OXiUfitD5zYZG7fOQTuGgZu7pbGcnUZqRXV4y1ZUsjfmw+7mUuMTfjrEMv2RFqcSEREREQkF9m3xFwq7MQm8MkHD/0GLV9X0e1kVHhLlrWoXJjejUoB8NJvWzkXqyXGREREREQcKiUZlr4LP3eDKxegWG3otwIqtrY6mdyACm+xi2H3VqFC4bycjY3n5d+3aokxERERERFHuXQWfroflr8PGFCvL/RdCPlLWZ1MbsLD6gDiGnw83fnkwdp0DvuLJbsi+XndUR5pqBtfJDd7b+V7RMdHE+AdwLBmw6yOI3bQb3Y/zsedJ8gniK86fGV1HBGR3OnYevN57ugT4OkH942Fmj2sTiW3ocJb7Ca0WABD21bi7bm7eHvuThqWDaJ8YX+rY4mIRcI2hHEi5gTF/Yur8HYRc/fNTW1TERHJZoYB676CRa9BShIUqAAP/ABFNLlxTqCh5mJXfZuUoVmFgsQlpvD8r+HEJ2mJMRERERGRLImPgamPwYKXzaI7tDM8tVRFdw6iHm+xKzc3G6O716TN2BXsjIhm9KK9vHpvFatjiYgFfuv+G/HJ8Xi7e1sdRUREJOeK3AWTe8G5feDmAa3fhjv6g81mdTLJABXeYneFA3x4//4aPPXjJr5ecZA7KxSiaYWCVscSkWzWKKSR1RFERERytq1TYPYLkHgZ/IvBAxMhpIHVqSQTNNRcHKJ11aI8dEdJAF78LZwLlxIsTiQiIiIikkMkxcOcwTDtSbPoLnsX9F+pojsHU+EtDvN6+yqULZSH09HxvDJNS4yJiIiIiNzWxaMwoS1s/NbcvnMoPDIN8mgEaU6mwlscxs/Lg08frI2nu42FO04zecMxqyOJSDbac3YPOyJ3sOfsHqujiIiI5Ax7F8GXzeDk3+CbHx6eCi1fAzd3q5NJFqnwFoeqVjyQl1pXAmDU7J0cPBNrcSIRyS6tfmhFtS+q0eqHVlZHERERcW4pyfDn2/BLd4i7CMXqQL8VUOEeq5OJnajwFod7sllZGpcrwJXEZF6YFE5CUorVkUREREREnMOls/BTV1jxobld/wnouwDylbQ2l9iVZjUXh3NzszH6gZq0HbuSbSeiGLtkL0PbVrY6log4WM9qPbkQd4H8PvmtjiJ2ojYVEbGzo+vgtz4QcxI8/aDDp1Cju9WpxAFshma8uqGwsDDCwsJITk5m7969REVFERAQYHWsHG3+tgie/vlvbDb49cmGNCxbwOpIIiIiIiLZzzBg7ReweDikJEGBCtDjRyhcxepkkgHR0dEEBgamq1ZU4X0bGfliyu29PHUrkzceIzjQhwUv3Emgn6fVkUREREREsk9cNMx6DnbOMLerdoWOn4K3v6WxJOMyUivqGW/JVm90CKV0AT8iouJ4dfo2LTEmIiIiIrnH6Z0wvoVZdLt5QrsPoNsEFd25gApvyVZ5vD345MHaeLjZmLstgt//PmF1JBERERERx9syGb5pBef2Q0BxeGw+3NEPbDark0k2UOEt2a5mSD4G3VMRgBEzt3Pk3CWLE4mII7T9qS11vqpD25/aWh1F7KTy55UJeC+Ayp9rgkwRkXRLjIPZA2H6U5B4Gcq2MJcKC6lvdTLJRiq8xRL9m5ejQZkgLiWYS4wlJmuJMRFXsz1yO5tPbWZ75Haro4idxCbEEpMQQ2xCrNVRRERyhgtHYEIb2PQdYIPmr8Ajv0OeglYnk2ymwlss4e5m4+MetfD38SD82EU++2Of1ZFExM683L1S/4mIiOQ6exfCV3dCRDj45oeHp0KLYeDmbnUysYDW8RbLFM/ny7tdqvPcr5v5fOl+mlUsRP3SQVbHEhE7OfjCQasjiIiIZL+UZFj6Lqz8yNwuXhe6T4R8IdbmEkupx1ss1aFmMbrWKU6KAQMnhRMdl2h1JBERERGRzIk9Az92/qforv+kOYmaiu5cT4W3WG5Ux6qEBPly4uIV3pihZ0FFREREJAc6uha+agaHVoBnHrj/W2j/EXh4W51MnIAKb7Gcv48nY3vUxt3Nxozwk8zYrCXGRERERCSHMAxYEwbft4eYCChYCZ78E6p3szqZOBE94y1OoW6p/DzfsgIfL9nL8BnbqVsqPyFBflbHEpEs+HrT18QmxJLXKy9P1X3K6jgiIiL2FxcNMwfArlnmdrX7ocOn4J3X2lzidNTjLU5jQIty1C2Vn5j4JAZNDidJS4yJ5GhvLn+TFxe9yJvL37Q6ioiIiP2d3gFf32UW3W6e0O5Dc3i5im65ARXe4jQ83N0Y26MWeb092HjkAuOWHbA6koiIiIjI9cJ/gfGt4PwBCCgBfRfAHU+BzWZ1MnFSGmouTiUkyI+3Oldl0OQtfPLHPppWKEidkvmtjiUimfDlfV9yJfEKvp6+VkcRO1GbikiulxgH84fC3xPN7XKtoOt4yFPA2lzi9GyGYRhWh3Bm0dHRBAYGEhUVRUBAgNVxcgXDMHhhUjiztpykZJAf815oRl5vvUYkIiIiIha6cBimPAoRWwAb3PUK3DkE3NytTiYWyUitqKHm4nRsNhtvda5G8Xy+HD1/mREzd1gdSURERERysz3z4as7zaLbNwgemWoW3iq6JZ1UeItTCvT15OMetXCzwe9/H2f2lpNWRxIRERGR3CY5CZaMhF8fhLgoKF4P+q+E8ndbnUxyGBXe4rQalAliQIvyALw2fRsnLl6xOJGIZMS5y+c4c+kM5y6fszqK2Mmmk5tYc2wNm05usjqKiIjjxUbCj51h1cfmdoN+8Nh8CCxhaSzJmVR4i1N7vlUFaobkIzouicGTw0lO0ZQEIjlFzS9rUvijwtT8sqbVUcROOk3qROMJjek0qZPVUUREHOvIaviyGRxeCZ55zGXC7v0APLysTiY5VK4ovLt06UL+/Pnp1q2b1VEkgzzd3fikRy38vNxZd+g8X63QEmMiIiIi4iCGAas/g+/vg9hTULASPLUUqquOkKzJFYX3888/zw8//GB1DMmk0gXzMLJjVQDGLNrLlmMXrQ0kIulyT7l76FCxA/eUu8fqKCIiIrcXFwWTH4FFr4ORDNW7w5N/QqFKVicTF5Ar1mhq0aIFy5YtszqGZEH3uiVYvucMc7dFMHByOHOea0oeLTEm4tS+6/Sd1RFERETS59Q2c6mw8wfBzRPavgf1nwCbzepk4iIs7/FesWIFHTp0oFixYthsNmbMmHHdMePGjaNMmTL4+PhQt25dVq5cmf1BxVI2m413ulQjONCHQ2cv8dacnVZHEhERERFXsPln+OZus+gODIG+C6HBkyq6xa4sL7wvXbpEzZo1+fzzz2/4/smTJzNw4EBee+01Nm/eTLNmzWjXrh1Hjx5NPaZu3bpUq1btun8nT2oJKleSz8+L0Q/UxGaDSRuOsWB7hNWRRERERCSnSrwCs56Dmc9AUpy5RFi/FVCirtXJxAVZPla3Xbt2tGvX7qbvHzNmDI8//jhPPPEEAGPHjmXhwoV88cUXvPfeewBs2mS/ZU3i4+OJj49P3Y6OjrbbuSXrGpcrSL87y/Hl8gO8Mm0btULyUzTQx+pYIiIiIpKTnD9kDi0/tRWwQYtXodlL4GZ5v6S4KKf+zkpISGDTpk20bt06zf7WrVuzevVqh1zzvffeIzAwMPVfSEiIQ64jmTf4nopULx7IxcuJvPhbOClaYkzEKT087WHa/NSGh6c9bHUUERGRf+yeB181N4tuvwLQaxo0H6qiWxzKqb+7zp49S3JyMkWKFEmzv0iRIpw6dSrd52nTpg3du3dn3rx5lChRgg0bNtz02GHDhhEVFZX679ixY5nOL47h5eHG2Adr4evpzl/7z/HNqoNWRxKRG1h+eDmLDixi+eHlVkcRERGB5CRYPAIm9YT4KChR3xxaXq6l1ckkF7B8qHl62P4zsYFhGNftu5WFCxem+1hvb2+8vb3TfbxYo1yhvLzRIZRh07bx4cI9NC5XkGrFA62OJSIiIiLOKOY0TO0LR1aZ23c8Dfe8CR5e1uaSXMOpC++CBQvi7u5+Xe92ZGTkdb3gkvs8WD+EpbsjWbTzNC9M2syc55rh6+VudSwRuWrXgF0YGNjQrLCuQm0qIjnS4b9g6mMQexq88kLHz6BaV6tTSS7j1EPNvby8qFu3LosXL06zf/HixTRu3Nih1w4LCyM0NJT69es79DqSeTabjf/dX4PC/t4cOHOJd+ZpiTERZ+Lv7U+AdwD+3v5WRxE7UZuKSI5iGPDXJzCxg1l0F6oCTy5V0S2WsLzwjo2NJTw8nPDwcAAOHTpEeHh46nJhgwcP5ptvvmHChAns2rWLQYMGcfToUfr37+/QXAMGDGDnzp23fB5crBeUx1xiDOCntUdZsvO0xYlERERExHJXLsLkR2DxG2AkQ/UH4Mk/oFBFq5NJLmX5UPONGzfSokWL1O3BgwcD0Lt3b77//nt69OjBuXPnePPNN4mIiKBatWrMmzePUqVKWRVZnEyzCoV4slkZxq88xNDft7KgRDMKB2iJMRERERGXl5IMR1abPdp5i0CpxnB6h7lU2IVD4O4Fbf8H9fpCBuaIErE3m2EYWovpFqKjowkMDCQqKoqAgACr48hNxCcl0zlsNbsiomlWoSATH2uAm5t+uIpYadquaVxOvIyfpx9dq2hYnysYs2YM0fHRBHgHMLjRYKvjiEhut3MWLHgZok/+s88nHyRcgpRECCwJD3wPxetalVBcXEZqRRXet6HCO+fYdzqG+z5bRXxSCm/cF0rfpmWsjiSSq5UYU4ITMSco7l+c44OPWx1H7EBtKiJOY+css1ebm5QywTWh1wzwC8rOVJLLZKRWtPwZb2elydVyngpF/Hm9fRUA/jd/N7sioi1OJCIiOVJKMhxaCdummv+nJFudSET+LSXZ7Om+WdENcOks+GipWXEelj/j7awGDBjAgAEDUl/FkJzhkYalWLbnDH/sjmTgpHBmPtsEH08tMSZihbdbvs2lhEvk8cpjdRSR9LvR0NWAYtD2fQjtaF0uEfnHkdVp79EbiT5hHlemWfZkErkN9XiLS7HZbLzfrQYF83qz53QM/5u/2+pIIrlWn1p9GNBgAH1q9bE6ikj6XBu6+t8/6KMjzP07Z1mTS0TSik3nKjbpPU4kG6jwFpdTMK83H3WvAcD3qw+zdHekxYlERMTp3XLo6tV9C17RsHMRqyXGwb7F6Ts2bxHHZhHJABXe4pLuqlSYPo1LAzBk6hbOxsZbG0hERJzbbYeuGv8MXRURaxz+C75sClsn3eZAGwQUN5cWE3ESKrxvQpOr5XyvtKtMpSL+nI1NYOjUrWgCfxERuSkNXRVxXlcuwqzn4ft74dw+sye78XOA7eq/f7u63fZ/4KZ5fsR5qPC+iQEDBrBz5042bNhgdRTJJB9Pdz7pWQsvDzf+3B3JT2uPWB1JJFcpMaYEtlE2SowpYXUUkdvLUzh9x/kVdGwOEfmHYcCOGRDWAP6eaO6r2wcGrIfWb8MDP0BAcNqPCShm7tdkiOJkNKu5uLTKRQMY1q4yo2bv5O25u7ijbAEqFvG3OpaIiDiTi8dgxQfpO3bhq3DfGCjZ0LGZRHK7qBMw7yXYM8/cLlABOnwCpZv8c0xoR6jc3nwEJPa02RNeqrF6usUpqfAWl9encWmW7TnD8r1neP7Xzcx8tgneHvqBLOJodYLrEBIYQiG/QlZHETtxuTY1DAj/xZw0LT4a3LwgJQFzqOq/H0+6uu2VByJ3wIQ2UPsRuPtNyFPAmuwiriolBTZ+C0tGQUIMuHlC00HQ7EXw9Ln+eDd3LRkmOYLN0IOvt3RtHe+oqCgCAgKsjiOZFBkTR9uxKzl/KYEnmpbh9ftCrY4kIiJWio2E2S/805tWogF0+RJO77jBOt7FzedFSzWBJSNg84/mft/80GoE1OkNbnp6TyTLIneZz3IfX29ul2gAHT+FwlWszSVyExmpFVV434YKb9exZOdpnvhhIwA/Pt6AZhVcpMdGREQyZudMmDMILp8ze9NavApNXvhneGpK8q2Hrh5dB3NfhNPbzO3i9aD9aChWK9s/FRGXkBgHK0fDqo8hJRG8/OHuEVDvcb2oJU5NhbcdhIWFERYWRnJyMnv37lXh7SJen7GNn9YepbC/NwsG3klQHi+rI4mISHa5chHmD4Wtk83twlWh61dQtHrGz5WcBBvGw5/vmMNhbW5Q/wlo8Rr45rNnahHXdmS12ct9bp+5Xak93PshBBa3NpdIOqjwtiP1eLuWKwnJdPh8FfsjY7kntAhf96qLzfbfZShERMTl7P8DZj4LMSfNIrnJC3DXMPDwztp5oyNg0euwfaq5nacwtHkHqncH/X4RubkrF81HNzZ9b27nLWIW3FU66t6RHEOFtx2p8HY9O05G0TnsLxKTDd7tUp2H7ihpdSQRl/TcvOe4EHeB/D75+ezez6yOI3bQ8deOnLl8hkJ+hZjVc5bVcdIn4RIsfgM2fGNuB5WFzl9CyTvse52Dy2DuS//02pVuBvd+BIUr2/c6IjmdYcCuWTBvKMSeMvfV7QN3j9JoEclxVHjbkQpv1zR+xUHembcLH0835jzXjPKF81odScTllBhTghMxJyjuX5zjg49bHUfsIMe16dF1MKM/nD9obtd/Eu4ZZc5O7ghJ8bDmc1j+ISRdATcPaPQsNB/quGuK5CTpWSJMJAfJSK2o2QokV3q8aRmalC9AXGIKAydvJiEpxepIIiJiL0nxsHgEfNfWLLr9i0Gv6dD+I8cWwB7e5pJHA9ZBpXshJQn+GgufN4Bds82ePpHcKCUF1o+HsDvMotvNE+4cCv1XqeiWXEPreEuu5OZmY3T3WrT9ZAXbT0QzZvFeXmmn4YAi9rTysZUkG8m429xvf7CIvZzaBtP6mettA9R4ENq9n71DWPOXgp6/wp755mRuF4/C5EegQmto9wEElcm+LCJW0xJhIoB6vCUXKxrow/+61gDgqxUHWH3grMWJRFxLmfxlKB9UnjL5VWRINkhOghUfwdctzKLbrwA88KM5a7lVz41WagfPrINmL5k9fPsWmT1+y943l08ScWWJceas/182M4tuL39z3oO+C1V0S66kwvsmwsLCCA0NpX79+lZHEQdqW60oPRuEYBgwePIWLl5OsDqSiIhk1LkD5rDyP98y1wCu1B6eWQuhHa1OBl5+0Go4PLMGyt4FyfGw7F34ohHsX2J1OhHHOLIavmwKKz64ek/eaz6C0eBJrcstuZYmV7sNTa7m+i4nJHHfp6s4ePYS7aoVZdzDdbTEmIjIDTjd5GopKeZs5YvfMCcz8w4wh5XX7OmcyxEZBuyYBgte/Wc259BO0OY9rVksruFGS4S1+8D8PnfGe1IkizS5mkgG+Hl5MPbBWni42Zi//RS/bXKCPyZFXMCyw8tYuH8hyw4vszqKuKKo4/BTF5g/xCy6yzSHp1dDrYec9w98mw2q3Q/PboCGA8DmDjtnwuf14a9PITnR6oQimWMY5vdy2B3/FN11+8CA9VC1s/PekyLZSIW3CFCjRD4Gt64IwMhZOzh89pLFiURyvkemPULbn9vyyLRHrI4irsQwIPxXGNfYXDvbw9fsUes1A/KFWJ0ufXwCoO270G85hNwBiZdg8XDzWdgjq61OJ5IxUSdg0sMw5VFzJEeB8tBnnrlMmNblFkmlwlvkqn53lqNh2SAuJyTzwqTNJCZriTEREacSe8acHXxGf4iPguL1zOWI7uiXM58bLVodHlsAHT8H3yA4swu+awfTnzY/VxFnlmaJsLnmuvV3DoH+f2mJMJEb0HJiIle5u9kY80At2o5dwZbjUXyyZB8vtalkdSyRHGtwo8FEx0cT4K35MVyFpW26azbMHgiXz5ozhN/1CjQZCO45/E8ZNzeo0wsqt4c/RsGmibDlF7OQafUG1H0M3LQknziZ65YIqw8dPoUiodbmEnFimlztNjS5Wu4zd2sEA375G5sNJj3ZkDvKFrA6kohI7nXlIix4Bbb8am4XDoUuX0FwDUtjOczxjTBnEJzaam4Xqw3tx0DxOtbmEgFIijeX7Vv1sTlbuZc/3D0C6vXVC0SSK2lyNZEsaF8jmG51S5hLjE3ZQtQVTXYjImKJA0vhi8Zm0W1zM3u4n1rmukU3QIl65ufY7kNzlvaTm2F8S5gzGK5csDqd5GZHVsMXTW6yRJiKbpHbUeF9E1rHO3cb2bEqpQr4ceLiFV6fsR0NDBERyUYJl2HeEPixM0SfgPxl4LH5cM8o8PC2Op3jubnDHU/BsxuhRg/AgI3fwmf1zInl9DtJstOVizD7BXP+gXP7zCXCuk+EB3/RMngiGaCh5rehoea51+ajF+j25RqSUwzGPFCTrnVKWB1JRMRSMfExGBjYsOHv7e+YixzbANP7wfkD5na9x+GeN8E7r2OulxMcWglzX4Sze8ztko2h/Wg9TyuOZRiwaxbMG/rPuvN1epsvgPnmtzabiJPISK2owvs2VHjnbp/9sY/Ri/eS19uDec83o2QBP6sjieQYNb6oQURsBMF5g9n69Far44gdlBhTghMxJyjuX5zjg4/b9+RJCbDsPfhrLBgp4F8MOn0O5VvZ9zo5VVICrB0Hy9+HxMvmGuCNnoHmr+TuFyXEMaJPwtyXzEn+wFwirMMnULqptblEnIye8Raxk2dalKd+6fzExicxcPJmkrTEmEi6nb9ynrOXz3L+ynmro4izO7XdfI551Riz6K7+ADyzWkX3v3l4QdOBMGA9VL4PjGRY/Rl8Xh92zNDwc7GPa0uEfd7gBkuEqegWyQoV3iK3cG2JMX9vD/4+epHPl+63OpJIjlE6X2nK5S9H6XylrY4iziol2Zwd+eu74PQ2cy3r7hPh/vEaynoz+ULgwZ/hod8gf2mIOQm/9Yaf7odzB6xOJzlZ5C74ri3MewkSYswlwvqthJavg6eP1elEcjwNNb8NDTUXgJnhJ3hhUjhuNvitfyPqlgqyOpKISLaz61DzcwdgxtNwbJ25XbGdOZTVv0jWg+YWiVfMFy5WfQzJCeDuBU0Hmf88fa1OJznFdUuE5YVWI6D+45qtXOQ2NNRcxM461SpOl9rFSTFg4ORwYuK0xJiISKYYhjmU9cumZtHt5Q+dwqDnryq6M8rTF1q8Cs+shXKtzOJ7+fswriHsXWR1OskJ/rtEWMV25hJhdzylolvEzlR4i6TTqE5VKZHfl2PnrzBi5g6r44iI5DxRJ+CnruZQ1sTLULqZ+Sx37UfAZrM6Xc5VoBw88rs5TN+/GFw4DL90h0kPw8VjVqcTZ3SzJcJ6/gqBWsVFxBFUeIukU4CPJ2N71MLNBtM2n2Bm+AmrI4mI5AyGAVsmw7hGcOBP8PCBtv+DR2dBvpJWp3MNNhtU7QzProdGz5qznu+eA2ENzCHESQlWJxRnYBiwcyaE3QGbvjf31elt9nJX7awXwEQcSIW3SAbUKx3Esy0rAPD6jO0cv3DZ4kQizmvUslEMXjiYUctGWR1FrHTpLEzpBdOfgvgoKFbHnLCp4dPgpj9D7M7bH9q8A/1XQslG5siCJSPNof2HVlqdTqwUfdIcBTHlUXNd7gLloc9c6PipJjMUyQb6jSeSQc+3LE/tkvmIiUti8OQtJKdofkKRGxn/93g+Xvsx4/8eb3UUscrueebzxrtmm8sStXgdHl8MhSpancz1FakKj82Hzl+AX0E4uwcm3gfTnoKY01ank+ykJcJEnIIK75sICwsjNDSU+vXrWx1FnIyHuxuf9KhNHi931h8+zxfLtMSYiEgacVEw4xmY1BMunYFCVeCJP6D5EHD3sDpd7mGzQa2H4LmNUO9xwAZbJ5trf6/72lzOTVxb5G4tESbiJLSc2G1oOTG5md83HefF37bg7mbj96cbUyskn9WRRJzKppObSEhOwMvdi7rF6lodR+wgXW16cDnMHABRxwAbNH4OWrymP/KdwYlNMPdFOLnZ3A6uCe3HQIl61uYS+0uKh5WjYeUYLREm4kAZqRVVeN+GCm+5GcMweO7XzczZGkGpAn7Me74ZebzVkyMiuVTCZfhjFKz70tzOX9oc5lyqsaWx5D9SkmHTd/DHm+bIBGxQt7dZlPkFWZ1O7OHIapj1vDlbOZhLhLX/SLOViziA1vEWyQY2m413OlenWKAPR85dZtRsLTEmIrnU8Y3wVbN/iu66j5nPj6rodj5u7lD/CXh2E9R8CDDM2a0/rwebfzKfB5ac6b9LhOUpDN2/1xJhIk5CPd63oR5vuZ21B8/Rc/xaDAPGPVyHe6sHWx1JRCR7JCXA8vdh1RgwUsA/GDp+DhXutjqZpNfhv8zh52d2mdshd5jDz4tWszaXZMzOWTBviDlbOUCdR+GeNzVbuYiDaai5HanwlvT4cOFuwpYeINDXk/kvNKNYPl+rI4lYbtvpbSSmJOLp5kn1ItWtjiN2MGfvHK4kXsHX05f7AsuaS4Sd2ma+s1o3uPdDDVfOiZITzdEKS9+DxEvmGuB39Ie7XgEf/e3j1KJPmgX37jnmdoHy0OETzVYukk1UeNuRCm9Jj8TkFO7/YjVbj0fRsGwQPz/REHc3m9WxRCxVYkwJTsScoLh/cY4PPm51HLGD1Db1DuR4oickJ4BvENw3Bqp2sTqeZFXUCVg4DHbONLfzFoW270LVruYM6eI8UlJg47ewZJQ5W7mbBzQdBM1e0kSGItlIz3iLZDNPdzc+ebA2vp7urD14nvErD1odSUTE/q4tPxUXbRbdFdvCM2tVdLuKwOLwwA/wyO8QVNYctjy1L/zYGc7uszqdXKMlwkRyJBXeInZSpmAeRnYMBWD0oj1sOx5lcSIRa/Wu2Ztn6j1D75q9rY4iWWUYsOFbuBRpbtts5rPcPSeBfxFrs4n9lb8bnl4Dd70K7t5wcBmMawR/vGXOXi/WSIqHpe/Cl03h2DpzibB2H0LfhVAk1Op0InIbGmp+GxpqLhlhGAZP//Q3C3acomyhPMx5ril+XlpiTERysOiTMOs52L+EEsRwwmZQPE9Rjr8UYXUyyQ7nD8L8l2HfInM7X0lo9wFUamdtrtzmyBqY/Tyc3Wtua4kwEaegoeYiFrHZbPzv/uoUDfDh4JlLvDVnl9WRREQyxzBg628wriHsX2L2fPoEmu9zc7c2m2SfoLLw0BTo8RMElICLR+HXB+HXnnDhiNXpXN+VizB7oDm0/OxeLREmkoOp8Baxs3x+Xox5oCY2G/y6/igLd5yyOpKISMZcOge/9YZpT0BcFBSrDf1Xglceq5OJFWw2qNIBnl0PTQaaE3ntmQdhd8CKj8wh0GJ/O2eZX+NN35nbdR4126BqF012J5IDqfAWcYDG5QvyVLOyALzy+1ZOR8dZnEhEJJ32LDB7uXfONAusu4bB44uhUCWrk4nVvPLAPaOg/19QqikkXYE/34IvmpjPgYt9RJ+ESQ/DlF7mBHcFykOfudDxM63LLZKDqfAWcZDBrStStVgAFy4n8tJvW0hJ0XQKkru0nNiSquOq0nJiS6ujSHrERcPMAfBrD3MStUKV4Ykl5lrO7p5WpxNnUrgy9JkDXcebQ5/P7YMfOsHUxyFGo7wyLSUFNnxj9nLvnmO+8NXsJfOFDq3LLZLjqfAWcRBvD3c+ebA2Pp5urNx3lgl/HbI6kki22ntuLzvP7GTvub1WR5HbObTS7LXc/BNgg0bPwlPLzSHmIjdis0GNB+DZDdDgKbC5wfap8Fk9WPsFJCdZnTBnubZE2NwXIT4aiteDfiug1XAtESbiIlR453QpyeYfTNummv9fW2NVnEL5wnkZfp+5xMcHC/aw82S0xYlEsk9er7z4e/mT1yuv1VHkZhKvwIJhMPE+iDpqzljdZy60eeeGf+yrTeU6vvng3g/hyaVQvK65rvSCV+Dru+DYeqvTOb+bLRH2+CIoUtXqdCJiR1pO7CbCwsIICwsjOTmZvXv3OudyYjtnwYKXzWeBrgkoBm3fh9CO1uWSNAzD4MkfNrFk12kqFM7L7Oea4uOpGYFFxGInNsH0/v8sT1Snt1lwe/tbm0tyrpQU+HsiLBkJcRfNfbV7wd2jIE8BK5M5Jy0RJpLjZWQ5MRXet+G063jvnAVTHgX+23xXZ7l84AcV307kXGw8bT9ZyZmYeB5tVIo3O1WzOpKI5FbJibDiQ3M2aiMZ8hY1J22q2NrqZOIqLp2FJSOuPrqAOSHY3aPMItxNgy2Ji4LFI/6ZrTxPYbj3AwjtrNnKRXIYFd525JSFd0oyjK2Wtqc7DZvZ8z1wm9ZadSLL956h9wRz2N23vevRqkoRixOJSK4TuQum94OILeZ21a7QfjT4BVmbS1zT0bXmM8unt5vbJeqb32/BNa3NZaWds2DeEHO2cjCXCLvnTc1WLpJDZaRW1MuOOdGR1bcougEMiD5hHidOo3nFQvRtUgaAoVO3ciZG656KSDZJSYbVn8FXzc2i2zc/dJsA3b9T0S2OU7KhOUlfm/fMZ5ePbzCf/Z7/stnrm5v8d4mwoHLQe46WCBPJRTysDiCZEHvavsdJthnathKrD5xl96kYhkzdwnd96mPTsDJxUZ+v/5yY+Bj8vf15tsGzVsfJvc4fghnPwNGrL8ZWaG3+se9fNMOnGrJoCBfiLpDfJz8ftv7QzkHFJbl7QKNnoGoXWPQabP8d1n0JO6ZD63egejfXHl6dkgKbJsCSUeZs5W4e0GQg3DlEs5WL5DIaan4bTjnU/NBKcwba2+k9B8o0c3weyZC9p2Po8Nkq4pNSGNkhlD5Xe8HF9SWnGKw/dJ7ImDgK+/vQoEwQ7m6u+wdniTElOBFzguL+xTk++LjVcXIfw4BN38PC1yDxktnj2OYdcxK1TBY6alPJsgNLYd5LcG6/uV26mTn8vFAla3M5QuRumP0CHFtrbhevBx0/1WzlIi4kI7WierxzolKNzWe4oyO4fnK1q/IWNY8Tp1OxiD+v3luFEbN28O783TQqV5BKRTWLsKtbsD2CUbN3EhEVl7ovONCHER1CaVst2MJk4pKiI2DWc7B/sbldqgl0Hgf5S1saS4RyLeDp1eajDys+hMNX15Bv/KzZC+yVx+qEWZcUDyvHwMrRkJJovujV6g2o/4Tm3hHJxfSMd07k5m4uGQakzmJ+HQMun8+uRJJBjzYqRYtKhUhISuGFSZuJS9T6665swfYInv7p7zRFN8CpqDie/ulvFmyPsCiZY03oNIGZD85kQqcJVkfJXbZNhXENzaLb3dscztt7jopucR4e3nDnSzBgHVRsaxanqz6GsDtg1xxztEZOdWSNuSb38v+Zn1fFtubneUc/Fd0iuZwK75wqtKO5ZFjAf3rK/IuCX0Hz+e6fukJctDX55JZsNhsfdKtJwbxe7D4VwwcL9lgdSRzkUnwSb8zcccOxKdf2jZq9k+SUHPyH5k20LteajpU60rqclqnKFpfPw2994PfHzTWUg2tCvxVmT6KWcBJnlL80PDQZHvwVAktC1DGY/DD80sOcmyAniYuC2QPhu7bmutx5CkO376DnJK3LLSJAFp7x3rt3L8uWLSMyMpKUlJQ073vjjTfsEs4ZOOUz3v+WkmzOXh57GvIWMYeXXzgME9rApTPms1MPT9UEHk5q6e5IHvt+AwAT+zagecVCFieSG0lMTiHqSiJRVxK5eDmR6CuJXLySQNTlRKKuJJlvX0m8un31uKv/JySl3P4CwK9PNqRRuQIO/kzEZe1dBLOeNX8X2NzNIbt3vgTunna9jJ7xFodJuAwrP4K/PjV7ij18oNlL0OR5s4fcmWmJMJFcy+HreI8fP56nn36aggULUrRo0TSzMttsNv7++++Mp3ZSTl9430zEFviuPSTEQOX7oPtEc2ZRcTojZm5n4pojFPL3ZsELzSiQ18n/wMihUlIMYuL+VSRfLaKvvX2tcP7n/UlEXTbfvpTg+EcBPnmwFp1qFXf4dcTFxMfAwlfh7x/M7YKVoMuXULyOQy6nwlsc7sxemPciHFphbgeVg/YfQbmW1ua6keiTZsG9e465HVQOOnyiiW1FchGHF96lSpXimWee4eWXX850yJwixxbeYM5+/tP9kBwPtXuZy8e48pIdOVRcYjIdPlvFvshY7q5SmPGP1tMSYzdhGAaXE5LN3uTUojnhuiL64pWrvdL/2hcdl5jlxwb9fTwI9PUk0NeTfH6eV9/2um5fPl9PAq7u23c6hr4TN9723K7Y4x0RE0GykYy7zZ1gf00gZ3eHV8GMp+HiUcAGDZ+BVsPB09dhl1ThLdnCMMxlxxa++s/SqFW7QJt3zcllraYlwkTkKofPan7hwgW6d++eqXCSjco0g24TYEov2Pwj5CkId4+0OpX8h4+nO588WJvOYX+xZFckP687yiMNS1kdy6HiEpOJ/veQ7Mtph2df62n+975rhXRSFp+F9vV0Ty2SrxXH+f5TOAf4epLPzyvN+/x9PPBwz/hzssXy+RIc6MOpqLgbPudtA4oGmkuLuZr64+urSHOExDj48y1YEwYYkK8kdP4CSje1OpmIfdhs5vreFe6Bpe/B+q/Mdb/3LYa7hpkTldn5MYp00xJhIpJJmSq8u3fvzqJFi+jfv7+984i9VbnPHPY06zlzxlC/guZEO+JUQosFMLRtJd6eu4u35+6kfun8nL+U6NTrPSclpxAdl3S1tznhBkO2025HXflnGHdcYvqee74ZT3dbai/zP73NXjfY53ldke3tkb2zyrq72RjRIZSnf/obG9cvAGgAIzqEOl37ipM6uRmm9YOzVydkrPOo2QvorSUJ7Sk5xWD9ofNO/TM4V/AJhHb/g1oPwdwX4fh6WPQahP9irv1dqlH2ZfnvEmGeecwlwho8qdnKRSRdMlV4ly9fnuHDh7N27VqqV6+Op2faVx2ff/55u4QTO6nzKFw+B0tGmr+w/ApArZ5Wp5L/6NukDMv3nmHlvrO0/3RVmp5dR633bBgGMfFJaScFSzNkO+G6IdvXJheLiU/K0rVtNgjw+feQ7esL5n8P5f73Pj8v9xw1HL9ttWC+eKTOdet4A3i42ShbKK9FyRyrfYX2nI87T5CP6/XmZ7vkRPMP/hUfQkqSOWNyx8+gUttsjZEb2nTB9ojr7lVH/QyWdAquAX0XQvhPsHgERO4wZw+v9bA5iVmego69/pE1Zi/3tRe8KraFez+CfCGOva6IuJRMPeNdpkyZm5/QZuPgwYNZCuVMcvQz3v9mGLDodVjzuTnj7YM/Q6V2VqeS/5i8/igvT9t23f5rJeYXj9S57g8/wzCIS0xJM7P2f4dnpxnG/Z+h3FldxSqPlzv5/LzM4dn/KZ4D/lMw57v2PLSfJ/7eHrjlsh6ktL1o3ny94iBL95yhevFApj3TGM9MDGWXXODMHpjez+ztBgjtDO3HQB7XmhPAGSzYHsHTP/193ciUW/0Mlmx2+bzZkfD3RHPbJx/cPQLq9LZ/z3NclHmtjRPM7TyFod375vPmOejFXxFxHIdPrpabuEzhDWbxPeMZ2PKLuUxHr+nm8mPiFJJTDJq+/+d1PaL/5uvpTqOyQURdHeJ9rdBOSM7a0G0vD7cbP+d8g97mwP9MIKZiMfNOR8fR+uMVRF1J5KXWFXm2ZQWrI4kzSUmBdV+YEzglx5sFRvvRUO1+/dHvALf7GXxtPoZVL7fUsHNncGwDzB0Ep66+WF2sDtw3BorVts/5/7tEWO1e0PotLREmImlka+F97cNz0rDPjHCpwhsgOQkmPwJ754N3IDw2F4pWtzqVAGsOnKPn+LWZ/nh3txs993yjYdzXz8Lt46nn06wyY/MJBk4Ox9Pdxqxnm1Il2AV+zkjWXThivlB6ZJW5Xf5u6Pg5BKi31VHS+zPYFVcgyLGSk2Djt/Dn2+bs4tig/hPQ8nXwzZe5c2qJMBHJAIfPag7www8/8OGHH7Jv3z4AKlasyJAhQ+jVq1dmTynZwd0Dun8HP3aFo6vN5cb6LoSgmz8+INkjMubmPd3/1qN+CHdVLPSv2bfN4jmvt4fLvgDmyjrVKsa8bREs2nmaF6dsYcaAJnh5aBRBrmUY5ioUC4ZBQqw5gVObt6HuY+rldrD0/gxO73GSDdw9zBnOQzvBouGwbQpsGA87Z0Drt6FGj/TfNzdcIuyFq0uEOW6JPhHJPTJVeI8ZM4bhw4fz7LPP0qRJEwzD4K+//qJ///6cPXuWQYMG2Tun2JOnL/T8Fb5vD6e3w4+doe8i8C9idbJcrbB/+tb+7FyruHpbXIjNZuOdLtXZcPg8OyOiCVu6n0H3VLQ6ll10/607Zy6doVCeQvzW/Ter4zi/mFMw63nYt9DcLtkIOo+DoLLW5vqXel/X41TsKYrmLcrGp26/Pn1Okt6fwek9TrKRf1G4fzzU6WXOfn52rzkvwt8/mI9nFK5iHpeSDEdWm2uD5y1iPm7n5q4lwkQkW2R6crVRo0bx6KOPptk/ceJERo4cyaFDh+wWMKuOHTtGr169iIyMxMPDg+HDh2doDXKXG2r+bzGnYEIbuHAYilSHPnMyPzRLsuza84W3W+9Zzxe6ptlbTvLcr5vxcLMxY0ATqhUPtDpSlpUYU0LreKfX9mkwdzBcuQDuXtByODQa4HTLFLlymyanGDS5+jP4RvQzOIdISoC1YbD8A0i8bPZcN3zGfKxuyQhzKPk1/sUg5A5zWLmWCBORTMhIrZip8YwRERE0bnz9pFyNGzcmIiIiM6d0GA8PD8aOHcvOnTtZsmQJgwYN4tKlS1bHcg7+Rc0J1vIUhtPb4NeekHjF6lS51rX1nuGfGXSvubat9Z5dV4eaxWhfPZikFIOXfttCfFKy1ZEkO1w+D1P7wtTHzKK7aA14ajk0eV5/+GczdzcbbavefOSXgX4G5wgeXtB0EAxYB5XvM5ffW/0pTHsybdENEHMSdk43i+4KbcyPadhf956IOESmCu/y5cszZcqU6/ZPnjyZChWca1be4OBgatWqBUDhwoUJCgri/Pnz1oZyJkFl4ZHfwTvAfOZ7al9zshKxxLX1nosGph3KWDTQR8vY5AJvdqpKgTxe7D4Vw6d/7LM6TpYdeP4Aca/FceD5A1ZHcU77FsO4RrD9d3OZxzuHwhN/QJFQq5PlSsfOX2bqphMA5PW+/kk8T3cb1Uvky+ZUkmn5SppLp/b41by/bsU3CB78Retyi4hDZeoZ71GjRtGjRw9WrFhBkyZNsNlsrFq1ij/++OOGBfmtrFixgg8//JBNmzYRERHB9OnT6dy5c5pjxo0bx4cffkhERARVq1Zl7NixNGuW8dklN27cSEpKCiEh+sGaRnAN6DkJfuoKe+bB7OehU5gm8rFI22rB3BNa9F/rPfvQoEyQellygQJ5vXm7czWe/vlvvlh2gNahRakZks/qWJnm7eFtdQTnFB8Li16DTd+b2wUqQJevoERdS2PlZknJKQyaHE5sfBL1SuXnlycbsunIhas/g735ePFe1h++wLvzdhH2UB2r40pG+PiDcZsRRFfOw9E1mrlcRBwqUz3e999/P+vWraNgwYLMmDGDadOmUbBgQdavX0+XLl0ydK5Lly5Rs2ZNPv/88xu+f/LkyQwcOJDXXnuNzZs306xZM9q1a8fRo0dTj6lbty7VqlW77t/Jk/8MKTp37hyPPvooX3/9dWY+ZddXugl0+858VTj8Z1g83OpEuZq7m41G5QrQ6epEaiq6c4921YPpWLMYKQa8+NsW4hI15NylHFkNXzT+p+i+42nov1JFt8W+WHaAjUcukNfbg4971MLLw+1fP4MLMrJjNdxsMHdrBGsPnrM6rmRE7Gn7HicikklZXsfbnmw223U93nfccQd16tThiy++SN1XpUoVOnfuzHvvvZeu88bHx3PPPffw5JNP3na5s/j4eOLj41O3o6OjCQkJcc3J1W5k888w8xnz7btHQdOBlsYRyY0uXEqg9dgVnImJp1/zsgxrV8XqSJJViXGw9G1Y/TlgQGCIOWN5mTutTpYhrji5Wvixi9z/xWqSUwzGPFCTrnVK3PC44TO28+PaI1Qu6s+c55ri4a5l/3KEQyth4n23P673HPV4i0iGOWRytejo6DRv3+qfvSQkJLBp0yZat26dZn/r1q1ZvXp1us5hGAZ9+vShZcuW6Vpj/L333iMwMDD1X64bll77YbjnLfPtJSPg7x+tzSOSC+XP48W7XaoDMH7FQTYduWBxosz5ZdsvfPP3N/yy7Rero1grYgt8fRes/gwwoPYj8PTqHFd0u6JL8UkMnLSZ5BSD9jWC6VK7+E2PHXxPRQJ9Pdl9KoZfNxzLxpSSJaUaQ0Axrp+29BobBBQ3jxMRcaB0F9758+cnMjISgHz58pE/f/7r/l3bby9nz54lOTmZIkXSzjJapEgRTp06la5z/PXXX0yePJkZM2ZQq1YtatWqxbZt2256/LBhw4iKikr9d+xYLvzl2uR5aPKC+fbs52HXHGvziORC94QWoWud4qQYMOS3LVxJyHlDzocuHsqTs59k6OKhVkexRnKSuaTR+JZwZpe5gkTPSeYcGj65YARVDvD23J0cPneZ4EAf3u1cHdst5jbJn8eLl1pXBGD0oj1cvJyQXTElK9zcoe37VzdusmZI2/9pJnMRcbh0T672559/EhQUBMDSpUsdFuhG/vuL0DCMW/5y/LemTZuSkpKS7mt5e3vj7a0Jgbh7FFw+B5t/Mmc6f+R3DcESyWYj7qvKX/vPcvDsJT5atIfh92m2a6eTkmw+tx17GvIWMXvN3NzhzF6Y3g9O/m0eF9oJ2n8MeQpYm1dSLdxxil/XH8Nmg9EP1CTQz/O2H9OzQUl+XneU3adiGLN4L292qpYNSSXLQjvCAz/AgpfTLikWUMwsukM7WpdNRHKNdBfezZs3T327TJkyhISE3LAgtmcPccGCBXF3d7+udzsyMvK6XnCxM5sN7vsErlyE3XPMNb4fmwvBNa1OJpJrBPp58r+uNXjs+w1M+OsQbaoWpUGZIKtjpdsH93zA5cTL+Hn6WR3FMXbOuvEf8mVbwvapkBQHPoFw72io3s0lVopwlTaNjI7jld+3AvBUs7I0LlcwXR/n4e7GiA5V6Tl+LT+tPULPBiWpEqzRCzlCaEeo3P7GL5SJiGSDTM0MUqZMGc6cOXPd/vPnz1OmTJksh7rGy8uLunXrsnjx4jT7Fy9eTOPGjn0WJywsjNDQUOrXr+/Q6zg1dw+4/1so1RQSYuCn++Gc1uMVyU4tKhfmgXolMAwYMnULlxOSrI6Ubg9Vf4gn6jzBQ9UfsjqK/e2cBVMeTVt0g7kd/pNZdJdrBc+shRrdXaLoBtdo05QUg5embuXC5URCgwMYfHX4eHo1KleA9tWDSTFg5KwdONEctXI7bu7m6L3q3cz/VXSLSDbKVOF9s6HesbGx+Pj4ZOhcsbGxhIeHEx4eDsChQ4cIDw9PXS5s8ODBfPPNN0yYMIFdu3YxaNAgjh49Sv/+/TMTPd0GDBjAzp072bBhg0Ov4/Q8faDnL1C0Olw6Az92hugIq1OJ5Cqv3xdKsUAfjpy7zAcL9lgdR1KSzZ5ublFw+eSDh6ZcndRJnMnENYdZsfcM3h5ufNqzFt4eGS++ht1bGR9PN9YdOs+8bembc0ZERHK3dA81B7MIBvOZ6+HDh+Pn989Qs+TkZNatW0etWrUyFGDjxo20aNHiumv07t2b77//nh49enDu3DnefPNNIiIiqFatGvPmzaNUqVIZuo5kgU8gPDINJrSB8wfhp67w2Dzwtd9EeiJycwE+nrzfrQa9vl3P96sP07pqkXQPjRUHOLL6+p7u/4q7CEfXaG4MJ7PnVAzvzd8NwGvtq1C+sH+mzlMivx/9m5dj7JJ9vDN3Jy0rF8bXS72nIiJycxlax/tagbx8+XIaNWqEl5dX6vu8vLwoXbo0L730EhUqVLB/UotkZG02l3fhMHzbBmJPQUhD6DUdvHL2c34iOcmr07fxy7qjlMjvy4KBd5LXO0OvnWa7+KT41Le9PVxo0sptU+H3x29/3P3fmkNaXcies3tISknCw82DSgUrWR0nQ+KTkun0+V/sPhXDXZUK8V2f+umeqPVG4hKTaTV6OScuXuGFVhUYdE/GhqyLiEjOl5FaMUN/tV2bzfyxxx7jk08+USGa2+QvDb2mwXft4Nha+K03PPgLuN9+JlgRybpX763C8j1nOH7hCu/N28U7V9f6dlblPi3HiZgTFPcvzvHBx62OYz95C6fzONebBLTVD61ybJt+uGAPu0/FEJTHiw+61chS0Q3g4+nO6+2r8PTPf/Pl8gN0r1eCEvn1YrSIiNxYpp7xHjt2LElJ10/wc/78eaKjo7McyhlocrWbKFLVfG7Rwxf2LYKZAyADy7WJSObl9fbgw+41APh53VFW7rt+kktxsPhY2DTxNgfZIKC4OWOyOIW/9p/lm1WHAPjg/hoU9s/YfDQ307ZaURqVLUB8Ugrvzttll3OKiIhrylTh/eCDDzJp0qTr9k+ZMoUHH3wwy6GcgSZXu4WSDeGBiWBzh62TYdFroFldRbJF43IF6d3InOPi5albiYlLtDjRzTUKaUTzUs1pFNLI6ij2EbkLxrcwlwpL/fX5317Tq9tt/6cZk53ExcsJvDhlCwAP3VGSu0PtNxLBZrMxomMo7m425m07xer9Z+12bhERcS2ZKrzXrVuXZkK0a+666y7WrVuX5VCSA1RsA52/MN9eOw5WjrY2j0gu8nK7ypQM8uNkVBxvz3HeXrbfuv/Gsj7L+K37b1ZHybrwX+DrFnB2L/gHmxNMPvAjBASnPS6gGDzwg7lmsFjOMAxenb6NU9FxlC2Yh9fbV7H7NSoXDeCRO0oCMGr2TpKSNQpMRESul6mZeeLj42841DwxMZErV65kOZTkEDV7wOVzsHAY/PkW+BWAeo9ZnUrE5fl5efBR95r0+HoNkzceo231orSolM7njiVjEi7D/CGw+Sdzu1xL6Doe8lydVb5ye3OW89jT5jPdpRqrp9uJTN10nHnbTuHhZuOTB2vj5+WYCQkH3VORWVtOsud0DD+vO0rvxqUdch0REcm5MtXjXb9+fb7++uvr9n/55ZfUrVs3y6EkB2n0DDR70Xx77mDYOdPaPCK5RIMyQTzWuAwAr/y+lajLzjvkPMc6uw++udssum1u0OJ1ePj3f4puMIvsMs3M2cvLNFPR7USOnLvEyFk7ALMwrl4i0GHXyufnxYutzVneRy/aw/lLCQ67loiI5EyZeun3nXfe4e6772bLli20atUKgD/++IMNGzawaNEiuwa0SlhYGGFhYSQnJ1sdxfm1HG72fG/6Hn5/AnzyQdnmVqcScXlD2lRi6Z5IDp29xJtzdjL6gZpWR3Id26bC7BcgIRbyFIb7v9HPtRwkKTmFQZPDuZSQTIPSQfRvXs7h1+zZoCQ/rzvKrohoRi/a4/SrDoiISPbKVI93kyZNWLNmDSEhIUyZMoXZs2dTvnx5tm7dSrNmzeyd0RKaXC0DbDZoPwaqdITkBJj0EJz42+pUIi7P18udj7rXxM0Gv/99nCU7T1sdKY1+s/vR/bfu9Jvdz+oo6ZcYB3MGm+t0J8RC6WbQf5WK7hzm86X7+fvoRfy9PRjToybubllbOiw93N1sjOpYFYBf1h9lx8koh19TRERyjkw/7FSrVi1+/vlne2aRnMzN3ewR+rkbHFph/t93IRSsYHUyEZdWt1R+nmxWlq9WHGTY9G3ULZWf/Hm8rI4FwNx9c1PXfM4Rzh+E3/pAhDkDNncOgeavgLtjngsWx/j76AU++3M/AG91rpata2s3KBNEh5rFmL3lJKNm7WRyv4ZZXi9cRERcQ6Z6vP/typUrREdHp/knuZSHNzz4CwTXMoee/9gFok5YnUrE5Q26pyLlCuXhTEw8I2fvsDpOzrRzFnzV3Cy6fYPMZ7lbvq6iO4eJjU9i0ORwklMMOtYsRufa2f+iz7B2lfH1dGf94fPM3hqR7dcXERHnZDOMjC/AfPnyZYYOHcqUKVM4d+7cde93peeio6OjCQwMJCoqioCAAKvj5AyXzsKENnBuPxSqDI/NB78gq1OJuLTwYxfpOu4vUgz48pE6tK0WfPsPcrCImAiSjWTcbe4E+1uf54aSEmDJCHNZRICQhtBtAgTmkF76bObsbTp06hambDxO8Xy+zHuhGYG+npbk+OyPfYxevJeiAT78+VJzh82mLiIi1spIrZipHu8hQ4bw559/Mm7cOLy9vfnmm28YNWoUxYoV44cffshUaHEheQpCr+ngXwzO7IZfHoCES1anEnFptULypU4g9dr07ZyLjbc4EQT7B1MioIRTFmgAXDwG37X7p+hu/Dz0maOi+xacuU0XbI9gysbj2Gww+oGalhXdAE/eWZaQIF9ORcfxxbIDluUQERHnkanCe/bs2YwbN45u3brh4eFBs2bNeP3113n33Xdd5rnvsLAwQkNDqV+/vtVRcqZ8JaHXNHOG8+MbYHIvs2dJRBzmhbsrUKmIP+cuJfDGTA05v6W9C+GrZnBio/lzquckaP0WuFtXrEnmnYqK45Vp2wDo37wcDcsWsDSPj6c7r90bCsBXKw5y9NxlS/OIiIj1MlV4nz9/njJlzPVjAwICOH/+PABNmzZlxYoV9ktnIc1qbgeFq8DDU8HTDw78ATOehpQUq1OJuCxvD3dGP2DO4Dx3WwRztp60OpLzSU6CxSPMkThXLkCxOtBvBVRqZ3UyyaSUFIOXftvCxcuJVCsewKC7K1odCYA2VYvQtHxBEpJSeGfeTqvjiIiIxTJVeJctW5bDhw8DEBoaypQpUwCzJzxfvnz2yiauIKQ+PPAjuHnA9qmw4GXI+LQCIpJO1YoHMqBFeQCGz9jOmRjrhpwvOrCIWXtmsejAIssypBF9EiZ2gL/Gmtt39DdXX8hfytJYOcnXm75mzJoxfL3pa6ujpJrw1yFW7T+Lj6cbY3vUxssjy/PG2oXNZmNEh1Dc3Wws3HGaVfvOWh1JREQslKnfTo899hhbtpjLrQwbNiz1We9BgwYxZMgQuwYUF1DhbujyFWCD9V/D8g+sTiTi0p5tUZ7Q4AAuXE7k9RnbyMQcmnbRd2ZfOk3qRN+ZfS25fhr7/4Avm8HR1eDlD90nQrv3wcM5ll7LKd5c/iYvLnqRN5e/aXUUAHafiuaDBXsAeK19KOUL57U4UVoVivjzaCPzhZ1Rs3eQmKxRXyIiuVWmptkcNGhQ6tstWrRg9+7dbNy4kXLlylGzZk27hRMXUr0bXD4P84fAsnchTwGo/4TVqURckpeHGx91r0mnsFUs3HGaWVtO0qlWLp0wLCUZlr9/9QU/A4pWN4vuAuWsTiZZFJeYzAu/hpOQnEKryoV55I6SVke6oYF3V2Rm+En2Rcby45oj9G1axupIIiJigQz3eCcmJtKiRQv27t2buq9kyZJ07dpVRbfc2h1PQfOXzbfnvgTbp1mbR8SFhRYL4PmWFQB4Y+YOTkfHZXuGV5q+wrst3+WVpq9k+7UBiI2EHzubhTcG1H0MHl+iottFfLBgD3tOx1Awrxfvd6uBzWazOtINBfp6MqRNJQA+XrLXKVYcEBGR7JfhwtvT05Pt27c77S84e9Gs5g5y17CrPd0GTHvKHP4pIg7R/65yVC8eSNSVRF6dlv1Dzp9t8CzDmg3j2QbPZut1ATi0Er5sCodWgGce6DoeOowFT5/szyJ2t2LvGSb8dQiAD7vVpGBeb4sT3doD9UKoVjyAmLgkPlq0x+o4IiJigUw94/3oo4/y7bff2juLU9Gs5g5is0G7D6BqV0hJNJcZO77R6lQiLsnT3Rxy7uXuxh+7I/n97xNWR3K8lBRY8RH80BFiT0OhKvDUMqjxgNXJxE7OX0rgpd/MeWZ6NSxFi8qFLU50e+5uNkZ2qArApA3H2HY8yuJEIiKS3TL1jHdCQgLffPMNixcvpl69euTJkyfN+8eMGWOXcOKi3NzNydauXICDS+HnbubMwoUqWZ1MxOVUKurPwHsq8MGCPYyavYMm5QsQHOhrdSzHuHQOpj8F+5eY27Uehns/BK88t/44yTEMw2DYtK1ExsRTrlAeXr23itWR0q1e6SA61yrGjPCTjJy9g6n9G7n86EEREflHhnq8Dx48SEpKCtu3b6dOnToEBASwd+9eNm/enPovPDzcQVHFpXh4QY+foHhdswD/sQtcPGZ1KhGX9FSzstQKyUdMXBKv/G7dLOcOdXQdfNXMLLo9fKFTGHQep6LbxUzZeIyFO07j6W7jkwdr4+vlbnWkDHmlXRX8vNzZdOQCM8NPWh1HRESyUYYK7woVKnD27FmWLl3K0qVLKVy4MJMmTUrdXrp0KX/++aejsoqr8c4LD/0GBStC9Amz+L50zupUIi7H49qQcw83lu89w+QN2fMiV+XPKxPwXgCVP6/suIsYBqz+DL6/1/w5UqACPPkH1H7EcdcUSxw6e4lRs3cC8GLrSlQrHmhxoowrGujDgBblAXhv/i4uxSdZnEhERLJLhgrv//aSzJ8/n0uXLtk1kOQyeQpAr+kQUALO7TOHncfHWJ1KxOWUL5yXIa3NxznenruL4xcuO/yasQmxxCTEEJsQ65gLXLkAkx6CRa9DShJUux+eWgpFqjrmemKZxOQUBk4O53JCMneUCeLJZmWtjpRpjzctQ8kgP05HxxO2dL/VcUREJJtkanK1a1xyuKJkv8ASZvHtGwQn/4bJj0CSllsRsbe+TctQt1R+YuOTePn3rQ7/GV6xQEVCC4VSsUBF+5/8xCb46k7YMw/cvaD9GLj/W/D2t/+1JJVD2/QWPvtzP1uOXcTfx4MxPWrh7pZzn4328XRn+H2hAEwPzGEAAQAASURBVHyz8hBHzqkDQ0QkN7AZGfjLy93dnVOnTlGoUCEA/P392bp1K2XKlHFYQKtFR0cTGBhIVFQUAQEBVsdxbcc3wcQOkHgJQjtDtwnmRGwiYjeHzl6i3ScriEtM4e3O1XikYSmrI2WMYcD68bDwVXNlhPyloftEKFbL6mTiIJuOnKf7l2tIMeDTnrXpWLOY1ZGyzDAMHp2wnpX7znJ3lSJ807ue1ZFERCQTMlIrZqjwdnNzo127dnh7m+tlzp49m5YtW143q/m0adMyEds5qfDOZgeWws/dzT+o6/U1e7E066uIXX331yFGzd6Jn5c7CwfeSUiQn9WR0icuCmY9DztnmNtVOpiTqPnkvGd9JX1i4hK599OVHDt/hS61i/Nxj1pWR7Kb/ZExtB27kqQUg4l9G9C8YiGrI4mISAZlpFbM0FDz3r17U7hwYQIDAwkMDOSRRx6hWLFiqdvX/rmCsLAwQkNDqV+/vtVRcpdyLeD+8YANNk6Ape9anUjE5fRuVJoGZYK4nJDMS79tISUlBzw2FLEVvr7LLLrdPKHt/+CBH1V0u7iRs3Zy7PwViufzZVQn13p2v3xhf/o0Lg3AqNk7SEhKsTaQiIg4VIZ6vHMj9XhbZMO3MHew+Xbb96Fhf2vziLiYo+cu0/aTFVxOSGZkh1D6NHHSR4YMA/6eCPOGQnI8BIZA9++hhIbmurq5WyMY8MvfuNlgcr9G1C8dZHUku4uOS6TlR8s4G5vA6+2r8EQOnjRORCQ3cliPt0i2qf84tHjNfHvBy7D1N2vziLiYkgX8GNbOXObrfwt2c/is/Sd4eu2P1xgwdwCv/fFa5k4QHwvT+8HsF8yiu2Jb6LdCRbeFHp72MG1+asPD0x526HUioq7w6vRtADxzV3mXLLoBAnw8GdrGvA8/WbKPMzGaWFRExFWp8BbndecQaNDPfHtGf9i32No8Ii7m4TtK0bhcAeISU3jpty0k23nI+cQtExm3cRwTt0zM+AdH7oLxLWDrZLC5w92j4MFfwc81C7CcYvnh5Sw6sIjlh5c77BopKQYvTtlC1JVEapQI5IW7KzjsWs6gW90S1CgRSEx8Eh8u3G11HBERcRAV3uK8bDbzOc7q3c01eif3gmPrrU4l4jLc3Gx80K0Gebzc2XjkAt/9dcjqSKbwX+DrFnB2L/gHQ5+50HQguOlXVm7w7apDrD5wDl9Pd8b2qIWnu2u3u5ubjREdzOfXf9t0nC3HLlobSEREHMK1f5tJzufmBp3GQfm7IemKOeN55C6rU4m4jBL5/Xj96prCHy7cw4EzsXY79/yH57PpqU3Mf3h++j4g4TLMHAAznjbv93Itof8qKNXIbpnEue08Gc2HC/cAMPy+UMoWymtxouxRt1R+utYujmHAyNk7csaEhyIikiEqvMX5eXjBAz9AiQYQdxF+7AIXjlidSsRlPFg/hGYVChKflMKLU+w35Lx6kerUCa5D9SLVb3/w2X3wzd2w+SewuZlzPDw8FfIUtEsWcX5xicm8MGkzCckp3BNahJ4NQqyOlK1ebleZPF7ubD56kembT1gdR0RE7EyFt+QMXnngoclQqArERJjFd+wZq1OJuASbzcb799fA39uD8GMXGb/yYPYG2DbVXCoscgfkKQy9ZkDzoeDmnr05xFL/m7+bfZGxFPL35n9dq2Oz2ayOlK2KBPjwbEvzefb/LdhNbHySxYlERMSeVHhLzuEXBL2mQWBJOH8Afr4f4qKtTiXiEorl82V4B3PI+ZhFe9l3OsbxF02MgzmD4ffHISEWSjeD/iuhbHPHX1ucyrI9kXy/+jAAH3arQYG83tYGskjfpqUpXcCPMzHxfPbnPqvjiIiIHanwlpwloBj0mg5+BSFiC0x6yPzjXUSyrHvdErSsXJiE5BRe/G0LSckpWTrfppObWHNsDZtObrr+necPwYTWsPFbc/vOIWZPt3/RLF1Tcp5zsfG89NtWAPo0Ls1dlQpbnMg63h7uvHH1BbAJqw5xyAHL/ImIiDVUeEvOU7A8PDIVvPzh8EqY9gSkJFudSiTHs9lsvNe1OgE+Hmw9HsWXyw9k6XydJnWi8YTGdJrUKe07ds2Gr5qbL575BsHDv0PL18HdI0vXk5zHMAxembaNs7HxVCicl1euri2fm7WsXIS7KhUiMdngrTk7rY4jIiJ2osL7JsLCwggNDaV+/fpWR5EbKVYbev4C7l7mH/FzBoGhWWBFsqpIgA+jOplLG33yxz52RdjxcY6kBFgwDCY/AvFREHKHObS8wt32u4bkKJM2HGPxztN4utsY+2AtfDz1XD+YM7p7utv4c3ckS3dHWh1HRETsQIX3TQwYMICdO3eyYcMGq6PIzZS5E+7/1pwB+e+J8OdbVicScQmdaxXnntAiJCYbvDhlC4mZHHL+ZJ0nGdRwEE/WeRIuHoPv2sHaceY7Gz9nrs8dWMKOycXR0rRpFh08E8ubs80e3SFtKlG1WGCWz+kqyhXKy2NNygDw5pydJCRl7bEPERGxns0w1E14K9HR0QQGBhIVFUVAQIDVceRGNn0Ps18w327zHjR6xtI4Iq4gMiaO1h+v4OLlRAbeXYGBd1fM/Mn2LoTp/eDKBfAJhM5fQuV77RdWcpzE5BS6fbGaLcejaFyuAD89fgdubrlrFvPbiYlLpMVHyzkbG8+wdpXp17yc1ZFEROQ/MlIrqsdbcr66faDlcPPthcNgyyRL44i4gsL+PrzVqRoAn/+5n+0nojJ+kuQkWDwCfnnALLqL1YF+K1V0C58s2ceW41EE+noy+oGaKrpvwN/Hk5fbVgLg0z/2ERmtiURFRHIyFd7iGpq9CA2v9nTPeMbsYRORLLmvRjD3Vi9KUorBS79tIT4pA5MYRp+EiR3gr7HmdoN+0HcB5C/lkKySc2w4fJ5xy/YD8G6X6gQH+lqcyHndX6cENUPycSkhmfcX7LE6joiIZIEKb3ENNhu0fgdq9AAjGab0hqNrrU4lkqPZbDbe6lSNAnm82H0qhs/+2J++DzzwJ3zZDI6uNlcf6D4R7v0APHLn2szyj+i4RAZOCifFMIvK9jWCrY7k1NzcbIy8urzY738fZ/PRCxYnEhGRzFLhLa7DzQ06hUGFNpB0xRzeenqH1alEcrQCeb15u7M55PyL5QfYcuzizQ9OSYal78KPXeHyWZp6GZT3c6fpuo+yJ6w4XIkxJbCNslFiTOYmxRsxcwcnLl4hJMiXkR1D7ZzONdUumZ9udc2v98hZO0hJ0dQ8IiI5kQpvcS3untD9ewhpCHFRZgFw4bDVqURytHbVg+lYsxjJV4ecxyXeYMh5bCT82AWWvw8YULcPh338ORB1lMMXD2d3ZHFCs7acZPrmE7jZYGyPWvj7eFodKccY2rYSeb092HI8it//Pm51HBERyQQV3uJ6vPzgoUlQuCrEnoIfOptFgYhk2qiOVSmY15t9kbF8vGRv2nceWglfNoVDy8EzD3QdDx0+Ici3AAX9ChLkG2RNaHEaJy9e4fXp2wB4tkV56pbS90RGFPb34flW5QF4f8EeYuISLU4kIiIZpcJbXJNvfnjkd8hXEi4cgp+6mj3gIpIp+fN48W4Xc8j5+BUH2XTkAqSkwIqP4IeOEHsaClWBp5ZBjQcA2Pr0Vs4MOcPWp7damFyslpxiMHhKONFxSdQMycdzrSpYHSlH6tO4DGUL5uFsbDyf/ZnO+RZERMRpqPAW1xUQDL1mQJ5CcGob/PoQJGo5FpHMal21KF1rFyfFgLemrCT5p27w51tgpEDNh+DJP6BQFtb7Fpc0fuVB1h48j5+XO5/0qIWnu/70yAwvDzeGX51obcKqQ+yPjLU4kYiIZIR++4lrK1DO7Pn2DoAjq2BqX3NtYRHJlBEdqnJ33kOMi30B94N/gIePOalhly/AK4/V8cTJbD8RxehF5jJYIzqEUrqgvkeyokWlwrSqXJikFIO35uzEMDTRmohITqHCW1xfcE3o+Su4e8OeuTDnBdAfK/9n777Doyj3No5/Nz0hBQgEAoSEDqFX6V2qIKCoiAUbonAUEbAgAp6jWACxBOsRfNUjKNJUBEFpShUJHUJJCCWQ0FIIqTvvHyvRAIEEdjOb5P5cVy6yM7Mz9+6zy+a388zziBScYRAQ+SEfZ0+ikuUsh63B7OqzAJreZ3YycUIXM7J5eu42MrMNetavwF0tQsyOVCy8dFs47q4W1kQl8Os+jV8iIlJUqPCWkiGsPdz5GVhcYNuXsHKS2YlEipaL52DuUPj5JVyMLCIDutEv4z+M/CWD1Iyr9yKZsWEGk1dPZsaGGYUcVpzBa0v3cijhAkF+nrw+qBEWi8XsSMVCtXKleKR9dQBe+WEP6VlXmWVAREScjgpvKTnq3Qb93rX9/vs78Pu75uYRKSqOb4WPOtp6jLh6QN8ZVB8xF/+AMhw5k8qby/Zf9W4zNsxgypopKrxLoFX74vli4xEApt/VmDKlPExOVLyM6lqTID9PjpxJ5bPfYsyOIyIi+aDCOw8RERGEh4fTsmVLs6OIPTW7H7pPsf2+YiJs+8rcPCLOzDBg08fw355wPhbKhMEjK6DlI/h7e/DGHY0AmLM+hg2HzpibVZzG6ZR0xs3fDsDD7arRoVZ5kxMVP76ebjzfuy4A7/16gFNJGjhURMTZWQyNzHFNSUlJBAQEkJiYiL+/v9lxxF5+fgnWvwcWV7j7S6jbx+xEIs4lLQmW/Av2LLLdrnubbRA179K5NnthwU6+3hxLlTLeLB/dkVKebjnrVsesJj0rHU83TzqHdS606OI412tTwzB49PM/+GVfPHUq+LF4VDu83F0LP2gJYLUa3Pnhev6MPc+gppWZcXcTsyOJiJQ4BakVVXhfhwrvYsowYPFIiPzKNuja/QshrJ3ZqUScw8md8M0DcPYwuLhBj//ALSPgKtfopqRn0fPttRw/f5H7WlflPwMamhBYnMWXG4/w0qJdeLi6sHhUO+oF63PTkXYcO8/tEb9jGPDdE21oHlrW7EgiIiVKQWpFdTWXkslisV3vXacPZKfD1/dA3A6zU4mYyzBg6xz4pJut6A4IgYeWQesnrlp0g63L61t32rqcf7kxlt8OnC7EwOJMDsan8J8f9wAwvlcdFd2FoFGV0tzV3DZa/OQle7BadS5FRMRZqfCWksvVzTbSeWg7SE+CL++wFRsiJVF6Cix8HL5/2vZlVO1e8PhaCLn+OBdta5bjgTahAIyfv53ktExHpxUnk5FlZfS8baRlWmlfsxwPt6tmdqQSY1yvOvh5urHzeCLfbj1qdhwREcmDCm8p2dy9bXN8V2gIF+Lh/wZA8kmzU4kUrvi98ElX2DHPNu5B9ylwz9fgk/9uq8/1qkvVsj6cSEzj1R/3AhB9LpqDZw8SfS7aUcmlkK2OWc3yg8tZHbM61/K3V0ax63gSpX3cmX5XY1xcNHVYYSnn68nT3WsB8Oay/SRe1BdfIiLOSIW3iFcA3PcdlKkG54/YznxfPG92KpHCEfk/W9F9ej/4BcOwH6H9aHAp2MdDqb+6nFssMHfLUVbvj6fD7A7Ueq8WHWZ3cEx2KXT3LbiPXl/14r4F9+Us23j4DB+uOQTA64MaUsHfy6x4JdaDbcOoUb4UZy5k8O4vB8yOIyIiV6HCWwTAr4JtgDXfCnBql+2a74xUs1OJOE5Gqm2AwUVPQGYqVO8Cj6+D0DY3vMtbqgfyUFtbF+Pnv9uJhu4s/hIvZvLsN9sxDLirRRV6NQg2O1KJ5O7qwqR+9QH4fH0MB+OTTU4kIiKXU+EtcknZanDfAvAMgNgNMP8hyFaXPSmGTh+AT7vDti8BC3SZYOv14Xvz8y2P61mHauVKcTIpjSD3DgxtOJSBdQfefGZxSi8v3sXx8xcJDfTJKfzEHB1rl6d7vQpkWQ2mfL8HTVojIuJcVHiL/FPFBnDvXHDzgqhltnmMrVazU4nYz67v4OPOEL8bSgXBA4uh03hwsc9cy94erkwbbOtyfu7EfQyrO533+rxnl32Lc1kceZzFkSdwdbHw9t1Ncs3hLuaYeFs9PFxdWHfgNCv2nDI7joiI/IMKb5HLhbaFwZ/bBpna/jWsmIj6zEqRl5kGP4yB+Q9DRgqEtocR66B6J7sfqnloWR7rUB2AFxbu5Hxqht2PIebKthq8tHAXAP/qWpNmVcuYnEgAQgNL8VhH2+Ue//5xD2mZ2SYnEhGRS1R4i1xNnV5we4Tt9w3vw29vm5tH5GacjYbPesAf/7Xd7jDWdqbbr6LDDjnm1trUKF+KhOR0Ji/Z7bDjiDkSL2aSnJ5Fs6qlGdWlptlx5B+e7FyTCv6eHD17kf/+phkFRESchQpvkbw0GQI9XrX9/ssU2Pq5uXlEbsTe7+GjThC3HbzLwtDvoNtE2zz2DuTl7sr0u5rgYoFFkSdYtkvT9BUnGdlWSnm4MvPupri56k8JZ1LK040X+9QD4P1fDxKXeNHkRCIiAiq8Ra6t7Sho/4zt9x9Gw54lpsYRybesDFj2Isy7D9ITIeQWW9fyWt0LLcLLvz1AdrkJxHu8woSFOzmTkl5oxxbHyMz++7Kbyf3rUzXQx8Q0kpf+jSvRIrQMFzOzef2nfWbHERERVHiLXF+3SdDsATCs8N0jEL3W7EQi13b+KMzuDRv/ulyi7b9s83MHVCnUGH/G/Ulsynasboc5cyGDl9XlvEhLzcgi8aLten0vN1fubF64ryfJP4vFwuT+9bFYYHHkCbbEnDU7kohIiafCW+R6LBbo+zbUvQ2yM+Dre+FEpNmpRK4uajl81AGO/wFeAXDP/6DHf8DV3bRIAd4euLpY+HFHHD/sOGFaDrk5r/64lyyr7Yx3gLc7FovF5ERyLQ0qB3BPyxAAJi/ZTbZVg4SKiJhJhbdIfri6wR3/hbAOkJEMX94Bpw+anUrkb9lZsHIy/O8uuHgOKjWDx9dC3b6mRTo25hjGJINT444zsnMNACYu2kVCsrqcFzUr95ziq02xVEn7nN+GJnD82WNmR5J8GNujDn5ebuw+kcS8LUfNjiMiUqKp8BbJL3cv29nD4MaQehq+GAhJOnsnTiDpBHze7+/R91s9Dg8vgzJhpsb6p1Fda1Ev2J9zqZm8tGgnhqboKzISktN57rsdADzavhrtapYzOZHkV6CvJ890rw3AtJ/3k5iaaXIiEZGSS4W3SEF4+dtGhS5bAxJj4YtBkKpr58REh36FDztA7Hrw8IPBc6DPm+DmaXayXDzcXJg+uDFuLhaW7z7Fku360qooMAyD8fO3c+ZCBnUr+jGuVx2zI0kB3d8mlFpBvpy9kMHbK6PMjiMiUmKp8BYpKN/ycP9C8AuGhL3wv7sh44LZqaSksWbDqtf++vLnNFRsCI+vgfoDzU6Wp/BK/jzVrRYALy/eTXxSmsmJ5Hq+2HiEVfsT8HBz4d0hTfF0czU7khSQu6sLk/rVB2ztuf9kssmJRERKJhXeIjeiTCjctwC8SsOxzfDNg5CtLnxSSFLibZc6rHkDMKD5MHhkBQTWMDtZLnMi5xCxOYI5kXNylj3RuQYNKweQeDGTFxeqy7kzO3AqmVd/3AvAC73rUruCH1NWT2HM8jFMWT3F5HRSEO1rlaNn/QpkWw1e+WG33nciIiYo9oV3cnIyLVu2pEmTJjRs2JBPPvnE7EhSXFQIh3u/ATdvOLgCFj0BVqvZqaS4i/kNPmwP0WvAvRQM+gT6vQPu3mYnu8JLv77EqJ9G8dKvL+Usc3d1Ydrgxni4urBybzwL/jxuYkLJS0aWlafnRpKeZaVj7fIMaxsGwCd/fsLbG9/mkz/1WVrUvNQ3HA83F34/eIblu0+aHUdEpMQp9oW3j48Pa9asITIykk2bNjF16lTOnDljdiwpLqreAnd/AS5usPNbWP4C6EyCOILVCmun2QZRSzkF5evB8FXQ6C6zkxVYnYp+jL7V1uV88ve7iUu8aHIiudz0FfvZE5dE2VIeTLuzkaYOKwZCyvrweMfqAPznx72kZWabnEhEpGQp9oW3q6srPj4+AKSlpZGdna0uVmJftW6FAR/Yft/0oa04ErGnC2fgf4Ph13+DYYXG98Jjv0B55x7o6t3e7/LFwC94t/e7V6wb3qE6jUNKk5yWxfPfqcu5M9lw6Awfrz0MwNRBDQny9zI5kdjLE51rEBzgxbFzF3PaWERECofphffatWvp168flSpVwmKxsGjRoiu2mTVrFtWqVcPLy4vmzZuzbt26Ah3j/PnzNG7cmCpVqjB+/HjKldNUKGJnje6CXm/Yfl/1H9jyX3PzSPERuwk+6gAHV4KbF9weAQM/AI9SZie7rkH1BnFfo/sYVG/QFevcXF2YPrgRHm4urIlK4Js/NMewM0hMzWTMN5EYBtzTMoSe9SuaHUnsyMfDjRf61ANg1uqDnDiv3iYiIoXF9ML7woULNG7cmPfff/+q6+fNm8fo0aOZMGEC27Zto0OHDvTu3ZvY2NicbZo3b06DBg2u+DlxwjZdTenSpdm+fTvR0dH873//49SpU4Xy2KSEaT0COo6z/f7js7B7obl5pGgzDFj/HszpA0nHIbAmPPoLNL3P7GR2UzPIj7E9bHMM//uHvRxXEWAqwzCYsGgncYlphAX6MPG2cLMjiQP0axRMq7CypGVaeW3pXrPjiIiUGBbDifr3WSwWFi5cyIABA3KW3XLLLTRr1owPPvggZ1m9evUYMGAAU6dOLfAxnnjiCbp27crgwYOvuj49PZ309PSc20lJSYSEhJCYmIi/v3+BjycljGHAD8/A1tng4g5Dv4UaXcxOJUXNxXOwaCTs/9F2u8EdtgHUPP3MzeUA2VaDuz7awNYj52hfsxxfPNJK1xObZMGfxxjzzXZcXSx890RbmoSUvmKbKjOqcDz5OJX9KnNszLHCDyl2sftEIv3e+w2rAXOHt6Z19UCzI4mIFElJSUkEBATkq1Y0/Yz3tWRkZLB161Z69OiRa3mPHj1Yv359vvZx6tQpkpKSANsTs3btWurUyfu6yKlTpxIQEJDzExIScuMPQEoeiwX6Tofw28GaCXOHwvGtZqeSouT4n/BRR1vR7ephez3d8d8iWXQnpyeTlJ5Ecnre8wa7ulh4685GeLm78NvB03y1KTbPbcVxjp5N5eXFuwEY3a3WVYtuKT7qVwpgSKuqAExespusbM3IISLiaE5deJ8+fZrs7GwqVKiQa3mFChU4eTJ/U2EcO3aMjh070rhxY9q3b8+oUaNo1KhRntu/8MILJCYm5vwcParrDqWAXFxtUzxV7wyZF+DLOyEhyuxU4uwMAzZ9DJ/1hPOxUCbMNjd3y0dtX+gUQfUi6hHwegD1Iupdc7vq5X0Z37MuAK8t3cvRs6mFEU/+kpVt5Zl5kaSkZ9EitAxPdqlpdiQpBM/2qEOAtzv7Tibz9Rb9rSMi4mhOXXhfcnm3Q8Mw8t0VsXnz5kRGRrJ9+3Z27NjBE088cc3tPT098ff3z/UjUmBunnD3l1CpGVw8C18MhER1y5Q8pCXBt8Pgp3GQnQF1b4Pha6BSE7OTFZphbcNoFVaW1Ixsxs3fjtXqNFdBFXsfrjnEH0fO4evpxtt3N8HVpWh+0SMFU7aUB2NutY2xMP3n/ZxPzTA5kYhI8ebUhXe5cuVwdXW94ux2fHz8FWfBRZyOpx8MnQ+BtSDpGHwxCFLPmp1KzGTNhuh1sHO+7V9rNpzcCR93gj2LbPPB95xq+9LGu7TZaW9ap7BO9KjRg05hna67rYuLhbcGN8Lb3ZWNh8/yxcYjhZBQth89z8yVBwB45fb6hJT1ueb2BWlTcX5Db6lKnQp+nE/NZMYK9cwSEXEkN7MDXIuHhwfNmzdnxYoVDBw4MGf5ihUruP322x167IiICCIiIsjOznbocaSYKxUI9y+0dR8+vR++uhMeWAKevmYnk8K2Zwksew6STvy9zKs0ZKSANQsCQuDO2RDS0rSI9vbVoK8KtH1oYCle7FOXiYt38/pP++hUuzxh5Zx/2rSi6kJ6FqPnRZJlNbitUTADm1a+7n0K2qbi3NxcXZjUP5x7P9nElxuPcO8tValbUT39REQcwfQz3ikpKURGRhIZGQlAdHQ0kZGROdOFjRkzhk8//ZTPPvuMvXv38swzzxAbG8uIESMcmmvkyJHs2bOHLVu2OPQ4UgKUDrEV395lbAOtfXM/ZKlLX4myZwl880Duohsg7byt6A5uAo+vLVZF940aeksobWsEcjHT1uU8W13OHeY/P+4h+vQFggO8eHVAQ40mX0K1rVGOPg0rYjVsA6050WQ3IiLFiumF9x9//EHTpk1p2rQpYCu0mzZtyssvvwzA3XffzcyZM3nllVdo0qQJa9euZenSpYSGhpoZW6RgytexdTt3LwWHfoWFj9u6GUvxZ822nenmGn/MXkgAr4BCi+TMXFwsvHFHI0p5uLIl5hyzf482O1KxtHz3Sb7efBSLBabf1ZgAH3ezI4mJXuxTD083FzYePsvSnfkbvFZERArGqebxdkYFmZtN5LoO/gL/u9s21VjLR6HPtCI7YrX8Q8YFW/F84fSV/8bvgcOrrr+PB3+Aah0cn7WI+N+mWF5cuBNPNxeWPt2BGuV1eYa9xCel0XPmWs6lZvJ4x+q80Ofao85LyfD2iije+eUAlUt7s3JMJ7w9XM2OJCLi9ApSKzr1Nd5m0jXe4hA1u8Ggj2D+I7DlU/ApB11eMDuVXC4zDVJP/1VA/1VEp16lqL70e9bFmz9myqmb34eTeWjxQ5xJPUOgTyCzb59doPsOaRXCT7viWHfgNGO/3c78EW012rYdWK0GY+fv4FxqJuHB/ozpUbtA9+/6eVdOXThFhVIV+PXBXx2UUswwolMNvv3jKMfPX+TDNYd45taCvTZEROTaVHjnYeTIkYwcOTLnWwwRu2lwh21086VjYc3r4BMItww3O1Xxlp0FqWf+UUBfKp4TrlJcn4b0pIIfw80LSpWHUuVs//qUs/2engJbP7v+/X2L30wNKw6t4HjycSr7XX/QrstZLLYu5z3fXsu22PN8su4wIzrVcEDKkuX/NsSwNioBTzcX3h3SBE+3gp3VjDoTxfHk4ySmJToooZjF28OVCX3DGfm/P/lwzSEGt6hClTLXHuVeRETyT4W3iBlaPWYrBFdPhZ/Gg09ZaHin2amKDqvVNjBZTvGcRwF9ad3FcwU/hotb7gI6p6i+9Ptl6zxKXf2yAWs2HFgGSXFc/TpvC/hXgtC2Bc9YzFUq7c3EfuGMn7+DGT9H0a1uELUq+Jkdq8iKOpXMaz/tA2BC33rUDNJzKbn1aViR1tXLsvHwWV5bupdZQ5ubHUlEpNhQ4S1ilk7P2YrvzR/bBlvzLg01u5udyhyGYTvLfOGygvmKs9OXzlqfAaOgl4FYbL0LrlpAB/79+6V1XqXtc/29iyv0esM2qjkWchfff+2/1+u27YqZ7SO2YzWsuFhufBzPwc2r8NPOOFbtT+DZb7ez4Im2uLmaPi5okZOelc1TX28jI8tKlzrlub+1BiiVK1ksFib1q0/fd9exdOdJ1h86Tdsa5cyOJSJSLKjwFjGLxWIryFLPwK7vYN79tjm+i8uUUhmpf5+JTs2ja/elIvpCAmTfwBRrXgF5FM/lbXOo//O2dxnzitvw/nDX/105j7d/JVvRHd7fnFwOFugTeNP7sFgsTB3UiB5vr2HHsUQ+WnuYkV1q2iFdyTJt+X72nUwmsJQHb97ZWFOHSZ7qBftzX+tQ/m/DEaYs2cOPT7XXl10iInagwjsPGlxNCoWLCwz4EC6eh0O/wP8Gw0PLoFwtOLLeNuCWbwVbN2Szz4hmZVyjgL5KcZ2ZWvBjePhe/ezz1Yprn0Bw87D/43SU8P5Qt6/ztWsRUDHAi8n96zPmm+3MXBlFt3pB1K2oWSby6/eDp/lknW1atjfuaER5P0+TE4mzG3NrbZZsP8H+U8n8b3MsD7QJMzuSiEiRp+nErkPTiUmhyLgAn/eH43+AVxlbQfnPUa79K9nOjtvzzGh2Flw8e+VAY3mN3p1+A4MpuXpepYAu99e10ZcV1z7lwEMD+cjVGYbB8C+2smLPKepX8mfRyHa46yzcdZ1PzaDXzHWcTErj3luq8trAhje1vyozquQMmHdszDE7pRRn9MXGI0xctIsAb3dWje1M2VJF6ItOEZFCounERIoaj1Iw9Fv4oB0kn7hyfVKc7Rrhu/4v7+I7Z8Cxq01/dVkxnXraNrL6VQf7ugaLax4F9GVnpi+t8/TTPOUl2A9RP3Ax8yLe7t7cVvu2m9qXxWLh1YEN2BJzlt0nkohYdZDR3TXd0bUYhsGLC3dyMimN6uVK8VJfzdct+Xdvq6p8tfEI+04mM/3n/bx6k1/aiIiUdCq8RZyFV8A1Bgz7q0Be8i9I2Gcrmi8ffCz1DFizCnhQi21E9asW0P+cFqv83wOOuegso+TPiB9G2PXsaJCfF6/c3oCnvt7G+78epHu9CjSorOke8/Ldn8dZuvMkbi4W3rmnKT4e+siX/HN1sTC5f33u+XgjX2+O5d5bqlK/kt5vIiI3Sp/CIs7i0rW/15J2Hla9eu1tPAOuUUBftsy7LLjqvwEpOvo1CuannXH8tOskY7/dzpJR7fFw05dBl4s9k8qkxbsAeObW2jSsooJJCq519UD6Ngrmxx1xTFmyh3mPt9bAfCIiN0h/cYs4i+sV3ZeEtoMqLa88Q32psHbTwEniHF7u9DIpGSn4evjabZ8Wi4X/DGjA5uiz7DuZzHu/HuDZHnXstv/iICvbyuh527iQkU2ramUZ0amG3fbtiDYV5/Zin3r8svcUm2PO8sOOOPo1rmR2JBGRIkmDq+Xhn6OaR0VFaXA1cbzodfB5Pq6DffAHqNbB8XlEnNhPO+N44qs/cXWxsOCJtjQOKW12JKfxzsoDvL0yCj8vN356ugNVymjQQrk57/5ygBkroggO8OKXZzvpsgURkb8UZHA19c/Lw8iRI9mzZw9btmwxO4qUFKFtbaOXk1c3Pgv4V7ZtJ1LC9W4YTL/Glci2Goz9djtpmZr6EeDP2HO8++sBAP4zoIGKbrGL4R2rU6WMN3GJaXy4+pDZcUREiiQV3iLOwsXVNmUYcGXx/dftXq9r3meRv7zSvz7lfD05EJ/CzJUHzI5jupT0LJ6ZF0m21aB/40rc3qSy2ZGkmPByd80ZFf/DtYc5ejbV5EQiIkWPCm8RZxLe3zZlmH9w7uX+la49lZhICVSmlAevDWwAwMdrD/Fn7DmTE5nrle93c+RMKpVLe/PvAQ0ccoy45DiOJR0jLjnOIfsX59WzfkXa1ggkI8vKf37cY3YcEZEiR9d4X0dB+u2L2I01++9Rzn0r2LqX60y3FDHV36meM53Y4acPO+w4Y+ZFsmDbcaqXL8XSpzrg5V7y3ivLdsUx4ss/sVjg68da07p6oEOOU2VGFbtOESdFy/6TyfR5dx3ZVoMvH7mF9rXKmR1JRMRUusZbpKhzcbUNoNbwTtu/KrqlCMrIzsj5caRJ/eoT5OfJ4YQLTFu+36HHckanktJ4fsFOAEZ0quGwolukTkU/7m8dCsCU73eTmW01OZGISNGhwltERByiQVADmlZsSoMgx3R7viTAx53X72gIwH9/j2ZLzFmHHs+ZWP8aXO58aiYNKvvzTPfaZkeSYu6Z7rUp4+POgfgUvtx4xOw4IiJFhgrvPERERBAeHk7Lli3NjiIiUiQtu28Zfz7+J8vuW+bwY3WtW4HBzatgGDDu2+2kZmQ5/JjOYPb6GNYdOI2Xuwsz726Kh5s+1sWxAnzcGduzDgAzVkRxJiXd5EQiIkWDPqHzoOnERESKlon9wgkO8CLmTCpvLiv+Xc73nUzijWX7AHipbzg1g3xNTiQlxT0tqxIe7E9yWhbTfo4yO46ISJGgwltERIoFfy933rijEQBz1sew8fAZkxM5TlpmNk9/HUlGlpVudYMYektVsyNJCeLqYmHK7fUBmLslll3HE01OJCLi/NzMDlAcGIZBVlYW2dnZZkeRIsrV1RU3Nzcslsvn7xaRguhYuzxDWlXl682xjJu/nWVPd6SUZ/H7qHtz2X72n0qmnK8Hb9zZSP93SKFrGVaW/o0rsWT7CSYv2c23I9rodSgicg3F76+RQpaRkUFcXBypqalmR5EizsfHh+DgYDw8PMyOImIX434ex7m0c5TxKsNbPd4qtONO6FuPtVEJHD17kak/7eU/AxoW2rELw9qoBD77PRqAt+5sTDlfT5MTSUn1Qp+6rNhzij+OnGPJ9hPc3qSy2ZFERJyWCu+bYLVaiY6OxtXVlUqVKuHh4aFve6XADMMgIyODhIQEoqOjqVWrFi4uugpEir6vd32dM+dzYRbevp5uvHlnI4Z+uokvN8bSq35wsZlv+NyFDMZ+ux2A+1uH0qVukMmJpCQLDvBmZJcaTPs5iteW7qV7vQrFsoeJiIg96H/Hm5CRkYHVaiUkJAQfHx+z40gR5u3tjbu7O0eOHCEjIwMvLy+zI4kUae1qluP+1qF8sfEIz323g2WjO+Dn5W52rJtiGAYvLNhJfHI6NcqX4sU+9cyOJMKjHaoz74+jHD17kVmrDzKuZ12zI4mIOCUV3nags5NiD3odSXHzywO/kGXNws3FnI+a53vXZU1UArFnU3lt6V6mDmpkSg57+faPYyzbfRJ3Vwvv3NMUbw/XQs9gdpuK8/Fyd+WlvuE8/sVWPlkbzV0tQggNLGV2LBERp6O/9EVExCHqlKtD/aD61ClXx5Tjl/J04607bcX215uPsnp/vCk57CHm9AUmf78bgGd71KFB5QBTcpjdpuKceoRXoEOtcmRkW/nPj3vNjiMi4pRUeOchIiKC8PBwWrZsaXYUERG5QbdUD+ShdmEAPP/dThIvZpob6AZkZlsZPS+S1IxsWlcvy2MdqpsdSSQXi8XCy7eF4+piYcWeU6yNSjA7koiI01HhnYeRI0eyZ88etmzZ4vBjZVsNNhw6w+LI42w4dIZsq+HwY+Zl2LBhDBgwoMD3mzx5Mk2aNLFLhnPnznH//fcTEBBAQEAA999/P+fPn7fLvkWk5Bnfsy5hgT6cTErj3z/sMTtOgb3360Eij57Hz8uN6Xc1wdVFg3iK86lVwY8H24QBMOX73WRmW80NJCLiZHSRlsmW7Ypjyvd7iEtMy1kWHODFpH7h9GoQbGIy89x7770cO3aMZcuWATB8+HDuv/9+vv/+e5OTiUhBbDi6gfTsdDxdPWkT0sa0HN4erkwb3JjBH21g/tZj9G5QkW71KpiWpyC2HjnL+78eAODVgQ2pXNrb1Dz/2/k/UjNT8XH34d6G95qaRZzP091rsTjyOIcSLvD5+hgeVe8MEZEcOuNtomW74njiyz9zFd0AJxPTeOLLP1m2K84hx50/fz4NGzbE29ubwMBAunfvzoULF5g8eTKff/45ixcvxmKxYLFYWL16NQDPPfcctWvXxsfHh+rVqzNx4kQyM21dNufMmcOUKVPYvn17zv3mzJkDQGJiIsOHDycoKAh/f3+6du3K9u3b88y2d+9eli1bxqeffkqbNm1o06YNn3zyCT/88AP79+93yPMhIo4x+NvBdPm8C4O/HWx2FFqE/d1F+/kFOzmfmmFyoutLTstk9LxIrAYMbFqZ/o0rmR2J8SvG89j3jzF+xXizo4gTCvB2Z1xP2/X/76w8QEJyusmJRESch85425FhGFzMzM7XttlWg0lLdnO1TuUGYAEmL9lDu5rl8tWt0NvdNV9ziMfFxTFkyBDefPNNBg4cSHJyMuvWrcMwDMaOHcvevXtJSkpi9uzZAJQtWxYAPz8/5syZQ6VKldi5cyePPfYYfn5+jB8/nrvvvptdu3axbNkyVq5cCUBAQACGYdC3b1/Kli3L0qVLCQgI4KOPPqJbt25ERUXl7PufNmzYQEBAALfcckvOstatWxMQEMD69eupU0cD+ojIjRlza21+2XuKQwkXmLxkNzPvaWp2pGua8v0ejp69SOXS3ky5vb7ZcUTyZXCLEL7aFMvO44lMW76fN+4s2rMJiPPLthpsjj5LfHIaQX5etKpWVpfkiFNS4W1HFzOzCX95uV32ZQAnk9JoOPnnfG2/55We+Hhcvznj4uLIyspi0KBBhIaGAtCwYcOc9d7e3qSnp1OxYsVc93vppZdyfg8LC+PZZ59l3rx5jB8/Hm9vb3x9fXFzc8t1v19//ZWdO3cSHx+Pp6cnANOmTWPRokXMnz+f4cOHX5Hv5MmTBAUFXbE8KCiIkydPXvfxiYjzGNlyJEnpSfh7+psdBbBNezRtcGPu+GA9iyJP0KtBML0aVLz+HU2wdGcc87cew8UCM+9pgn8Rn4NcSg5XFwuT+4dzxwcb+GbrUYa2rkqjKqXNjiXFlC7ZlKJEXc1LmMaNG9OtWzcaNmzI4MGD+eSTTzh37tx17zd//nzat29PxYoV8fX1ZeLEicTGxl7zPlu3biUlJYXAwEB8fX1zfqKjozl06FCe97vamXvDMPJ1Rl9EnMcLHV5gavepvNDhBbOj5GhatQyPd6oBwEuLdnL2gvN1OY9LvMgLC3YC8GTnmrQMu7J3kIgzax5aloFNK2MYMHnJbqwmDhorxZdZl2yK3Cid8bYjb3dX9rzSM1/bbo4+y7DZ1x8xfc5DLWlV7fp/dHm7u+bruK6urqxYsYL169fz888/89577zFhwgQ2bdpEtWrVrnqfjRs3cs899zBlyhR69uxJQEAAc+fOZfr06dc8ltVqJTg4OOc68X8qXbr0Ve9TsWJFTp06dcXyhIQEKlQoGoMhiYhzG929Fr/sPUXUqRReXryL9+9tZnakHFarwdhvt5N4MZPGVQJ4unstsyOJ3JDne9dl+e6T/Bl7nkWRxxnUrIrZkaQYybYaTPl+zzUv2Zzy/R5uDa+obufiNHTG244sFgs+Hm75+ulQqzzBAV7k9V+BBVtXmQ61yudrfwU5G2yxWGjXrh1Tpkxh27ZteHh4sHDhQgA8PDzIzs59nfrvv/9OaGgoEyZMoEWLFtSqVYsjR47k2uZq92vWrBknT57Ezc2NmjVr5vopV67cVbO1adOGxMRENm/enLNs06ZNJCYm0rZt23w/RhGRvHi6uTJ9sG1arh92xPHjDuc5K/Lf36L5/eAZvN1defvuJri76mNaiqYK/l6M6loTgNd/2kdKepbJiaQ42Rx99ooz3f9kAHGJaWyOPlt4oUSuQ5/oJnF1sTCpXzjAFcX3pduT+oXb/Vu6TZs28dprr/HHH38QGxvLggULSEhIoF69eoDt+u0dO3awf/9+Tp8+TWZmJjVr1iQ2Npa5c+dy6NAh3n333ZxC/ZKwsDCio6OJjIzk9OnTpKen0717d9q0acOAAQNYvnw5MTExrF+/npdeeok//vjjqvnq1atHr169eOyxx9i4cSMbN27kscce47bbbtPAaiJiNw2rBDCy899dzp1h9OU9J5J4a7lt9oaJt4VTvbyvyYlEbs4j7asRGuhDfHI67/960Ow4UozEJ+dddP/TifOpDk4ikn8qvE3Uq0EwH9zXjIoBXrmWVwzw4oP7mjlkUAh/f3/Wrl1Lnz59qF27Ni+99BLTp0+nd+/eADz22GPUqVOHFi1aUL58eX7//Xduv/12nnnmGUaNGkWTJk1Yv349EydOzLXfO+64g169etGlSxfKly/P119/jcViYenSpXTs2JGHH36Y2rVrc8899xATE3PNbuNfffUVDRs2pEePHvTo0YNGjRrxxRdf2P25EBHHavFxC6rMqEKLj1uYHeWqRnWtRd2KfpxLzeSlRTsxDPOuQ03LzObpudvIyLZya3gFhrQKMS2LiL14urkysa/tJMN/fztM9OkLJieS4iAz28qOY+fzte2LC3cx/P/+YN6WWOKT8lesiziKxTDzLw0nFhERQUREBNnZ2URFRZGYmIi/f+6RedPS0oiOjqZatWp4eXnlsafr0zQIAvZ7PYk4iyozqnA8+TiV/SpzbMwxs+Nc1e4Tidz+/u9kWQ3euacJtzepbEqOyUt2M2d9DOX9PFn2dAcCfT1NyXE9RaFNxbkYhsGw2VtYE5VAt7pB/HdYS7MjSRGVbTVYsv04b684QOzZ65/JdrHA5eP6NaoSQNe6QXStG0SDSgG46O9tuUlJSUkEBARctVa8nAZXy8PIkSMZOXJkzpPpSK4uFtrUCHToMURECltF34q5/nVG9SsF8FS3WsxYEcXLi3fTpnogQf6F+8XXmqgE5qyPAeCtOxs5bdENRaNNxblYLBYm3hbO7zPX8su+eFbtj6dLnSunDRXJi2EYLN99kuk/R3EgPgWAcr4edK0bxLd/2L4A/Gd9famUjri3GSFlffhlbzy/7o9n+9Hz7DiWyI5jicxceYDyfp50rRNE13pBtK9ZjlKeKovEsXTG+zqu9S2GzlCKPen1JGKOzGwrA2f9zq7jSXSvF8QnD7QotOkLz6Sk0+uddSQkpzOsbRiT+9cvlOOKFLZXf9zDJ+uiqV6uFMtGd8TDTVc7yrUZhsGaqASm/xzFzuOJAPh7ufF4pxo81C4MHw+3As3jHZ+cxur9Cfy6N551BxK4kPH3oMAeri60rhFIt7/OhoeU9SmcBylFXkHOeKvwvg4V3lJY9HoSMc/+k8nc9t46MrMNpg9uzB3NHT/1kWEYDP9iKyv2nKJ2BV+WjGqPVz6nhhQpapLSMuk6bTWnUzJ4sU9dhnesYXYkcWKbo88ybfl+NsfYRiX38XDlkfbVeLRDdQK83XNteyOXbKZnZbM5+qztbPi++Cu6rtcK8qVrvSC61a1As6qlcdMME5IHFd52pMJbCoteTyLmilh1kLeW78fPy40Vz3S6YuBLe/t6cywvLNiJh6sLi0a2I7zStT+wRYq6b/44yvj5O/D1dOPXsZ0I8tNnneS281gib/28n7VRCQB4uLlwf+tQnuhcg3IOugzHMAwOJVzg132n+GVvPH8cOUf2Py4OD/B2p3Od8nStG0Sn2uUp7ePhkBxSNKnwtiMV3lJY9HoSMVdWtpU7PtzA9qPn6VynPLOHtXRYl/PDCSn0ffc3LmZmM6FPPR7rWN0hxxFxJlarwcBZv7P9WCJ3Nq/CtMGNzY4kTiLqVDIzfo5i2e6TALi5WLirZQj/6lqT4ADvQs2SmJrJmgMJ/Lr3FKujEjifmpmzztXFQvPQMnStG0S3ukHUDPIttEuTxDmp8LYjFd5SWPR6kuJm6rqpJKUn4e/pzwsdXjA7Tr4cjE+mz7u/kZFl5c07GnFXS/tP65WZbeXOD9az/VgibWsE8uUjtxSZkXUf//5xzqadpaxXWT7q95HZcaQI+jP2HINmrQdg4ZNtaVq1jMmJxExHzlxg5soDLIo8jmGAxQIDmlRmdPdahAaWMjseWdlWIo+e55d98fy6N579p5JzrQ8p6023uhXoWjeIW6qXxdNNlwuVNCq87UiFtxQWvZ6kuCmqU099vPYQry3dh6+nG8uf6Ujl0vY92zL95/289+tBArzdWTa6Q6GfzbkZRbVNxbmM+SaSBX8ep3FIaRY+0bbIfPEk9hOXeJH3fj3IN1uOkvVXt+5e9SsypkdtalfwMzld3o6eTWXV/nh+2RvPhsNnyMiy5qzz8XClQ61ydK0bRJc6QYU+Q4aYQ9OJiYiI3KBH2ldn2a6T/Bl7nufm7+CLR1rZrSvhlpizRKw6CMBrAxsWqaJbxF6e71WX5btOsv3oeb778xiDW9i/Z4k4pzMp6cxafYgvNh7JKVo71i7P2B61aVSltLnh8iGkrA8PtAnjgTZhpGZk8fvBMznXhscnp7N89ymW7z4F/D1neLe6FahfyV9fMIkKbxERcYxvB39LenY6nq7OOy/11bi6WJg2uDG931nHbwdP87/NsQy9JfSm95uUlskz8yKxGnBHsyr0bRR8/TuJFENB/l481a0WU3/axxvL9tOrQUX8vNyvf0cpshIvZvLpusP897doUv+axqtVWFnG9qxDq2plTU53Y3w83Lg1vAK3hlfAMAx2n0j6a5T0U2z/a77wS3OGB/l50kVzhpd4anUREXGINiFtzI5ww6qX92V8r7r8+4c9vPrjXjrWKn/T87pOXrybY+cuElLWm8n9w+2UVKRoeqhdNeZuOUr06Qu89+tBXuxTz+xI4gCpGVnM/j2Gj9YcIiktC4CGlQMY27MOHWuVKzYDk1ksFhpUDqBB5QCe7l7rijnD45PTmffHUeb9cVRzhpdgKrydgTUbjqyHlFPgWwFC24KLOYMzDBs2jPPnz7No0aIC3W/y5MksWrSIyMjIm87w6quv8uOPPxIZGYmHhwfnz5+/6X2KiBTUQ23DWL7rJJtjzjJ+/g6+evTGB0H7fvsJFmw7josFZt7dRGf3pMTzcHPh5dvCeWjOFmb/Hs3dLUOoUd7X7FhiJ2mZ2fxvUyyzVh/kdEoGYJsb+9ketelZv2KxKbjzEuTnxV0tQrirRchV5wxfG5XA2qgEJi3ZTe0KvnSpqznDSwIV3mbbswSWPQdJJ/5e5l8Jer0B4f3Ny2WijIwMBg8eTJs2bfjvf/9rdhwRKaFcXCy8NbgRvWauY8PhM3yx8QgPtg0r8H5OnL/IhIU7ARjVtRbNQ4tmt0oRe+tSN4gudcqzan8C//5hD3MeamV2JLlJmdlWvtt6jHd/OcCJxDQAqpb14Zlba9G/cWVcS+B1zp5urnSoVZ4OtcozqV/4FXOGR51KIepUCh+tOaw5w4s5faVipj1L4JsHchfdAElxtuV7ljjksPPnz6dhw4Z4e3sTGBhI9+7duXDhApMnT+bzzz9n8eLFWCwWLBYLq1evBuC5556jdu3a+Pj4UL16dSZOnEhmpm1ewzlz5jBlyhS2b9+ec785c+YAkJiYyPDhwwkKCsLf35+uXbuyffv2a+abMmUKzzzzDA0bNnTI4xeRwrH/9H52x+9m/+n9Zke5YaGBpXihT10AXv9pHzGnLxTo/tlWgzHfRJKUlkWTkNL8q2tNR8QUKbIm3haOu6vF1i133ymz48gNsloNFkce59YZa3h+wU5OJKZR0d+LVwc24JdnOzGwaZUSWXRfzmKxUDPIl+EdazDv8Tb8+dKtvDukKQOaVKK0jzuJFzNZHHmCp+dG0vw/K7nrow18uOYQB04lo4moij6d8bYnw4DM1Pxta82Gn8YDV3sTGYDFdia8euf8dTt397FNfngdcXFxDBkyhDfffJOBAweSnJzMunXrMAyDsWPHsnfvXpKSkpg9ezYAZcvazsz4+fkxZ84cKlWqxM6dO3nsscfw8/Nj/Pjx3H333ezatYtly5axcuVKAAICAjAMg759+1K2bFmWLl1KQEAAH330Ed26dSMqKipn3yJSPHX7v27FYuqp+24J5aedJ9lw+Azj5m9n3vA2+e5y/sm6w2w8fBYfD1dm3t0Ed3UhFMmlenlfHm5XjY/WHuaV7/fQrmY5zYVchBiGwYo9p5ixIop9J21zXJct5cGTnWtwX+tQvNzVltcS4ONO/8aV6N+40lXnDN8cfZbN0Wd5/ad9mjO8GFDhnYeIiAgiIiLIzs7O/50yU+G1SnZKYNjOhL+ezyk2XjwBHqWuu1lcXBxZWVkMGjSI0FDbKL3/PLPs7e1Neno6FStWzHW/l156Kef3sLAwnn32WebNm8f48ePx9vbG19cXNze3XPf79ddf2blzJ/Hx8Xh62kY1njZtGosWLWL+/PkMHz48f49NRMRELi4W3ryzEb1mrmVLzDlmr4/hkfbVrnu/XccTmf6z7Wz/pH7hhJW7/v/RIiXRqK41WbDtODFnUvnstxie6FzD7EhyHYZh8NvB00z7OYrtR88D4OflxvAO1XmofTV8NWp3gbm5utAirCwtwsryXK+6V8wZfvTsReasj2HO+hjNGV5E6V2Rh5EjRzJy5MicSdGLi8aNG9OtWzcaNmxIz5496dGjB3feeSdlypS55v3mz5/PzJkzOXjwICkpKWRlZV13kvitW7eSkpJCYGBgruUXL17k0KFDN/1YRMS5DWkwhHNp5yjjde3/X4qCkLI+TOgbzosLd/Lmsn10rlP+mgNBXczIZvS8SDKzDXrWr8BdxWSe4uLUpuI8/Lzcea5XXcZ+u533fz3AoGaVqaBCwmltPXKWt5bvZ+PhswB4u7vyULswhnesrmuS7Uhzhhc/Krztyd3HduY5P46sh6/uvP52Q+fbRjnPz7HzwdXVlRUrVrB+/Xp+/vln3nvvPSZMmMCmTZuoVu3qZ3A2btzIPffcw5QpU+jZsycBAQHMnTuX6dOnX/NYVquV4ODgnOvE/6l06dL5yisiRddbPd4yO4JdDWkVwk+74lh34DRjv93O/BFt87xmcepPezkYn0KQnyevD2pUbEbwLW5tKs5jUNPKfLnxCJFHz/PGT/uYcXcTsyPJZS714lm1PwEAD1cX7r2lKiO71KS8n6fJ6Yo3zRlePKgl7MliyVd3bwBqdLWNXp4Ux9Wv87bY1tfoavepxSwWC+3ataNdu3a8/PLLhIaGsnDhQsaMGYOHh8cV3et///13QkNDmTBhQs6yI0eO5Nrmavdr1qwZJ0+exM3NjbCwMLs+BhGRwmaxWHjjjkb0fHst22LP8+m6wzze6cousav2xfN/G2z/R06/qzFlSukMkMj1uLhYmNK/PrdH/M6CbccZ2jqU5qHqWeEMDsYnM2NFFEt3ngTA1cXC4OZV+Fe3WlQu7W1yupJHc4YXXSq8zeLiapsy7JsHAAu5i++/zoz0et3uRfemTZv45Zdf6NGjB0FBQWzatImEhATq1asH2K7fXr58Ofv37ycwMJCAgABq1qxJbGwsc+fOpWXLlvz4448sXLgw137DwsKIjo4mMjKSKlWq4OfnR/fu3WnTpg0DBgzgjTfeoE6dOpw4cYKlS5cyYMAAWrRocdWMsbGxnD17ltjYWLKzs3PmBq9Zsya+vprjU0TMU6m0NxNvC2f8dzuYviKKrnWDqFXBL2f96ZR0xs23zdzwcLtqdKhV3qyoIkVO45DSDG5ehW+3HmPK97tZ9GQ7dZk10dGzqcxceYCF245hNWznl/o3rsTo7rWppjErnIbmDC86LIbGpr+mS9d4JyYmXnFNc1paGtHR0VSrVg0vrxu8Fumq83hXthXdDpjHe+/evTzzzDP8+eefJCUlERoayr/+9S9GjRoFQEJCAkOHDmXDhg2kpKSwatUqOnfuzPjx4/nss89IT0+nb9++tG7dmsmTJ3P+/HkA0tPTGTp0KL/88gvnz59n9uzZDBs2jOTkZCZMmMB3331HQkICFStWpGPHjkydOpWQkKtf8zhs2DA+//zzK5ZfylJc2eX1JCIOZxgGD8/Zwqr9CTSq7M/4XnU5cyGDID9PPll7mF/3J1C3oh+LRrbTiL4iBZSQnE7XaatJTs/izTsacVfL4jE+QlFyKimN9349wLwtR8nMtpUJt4ZX4Nketalb8drj+4jzMAzjijnDs61/l32aM9w+rlUrXk6F93U4vPAG29RiR9ZDyinwrWC7ptvOZ7rF+anwluKm15e9iL8QT1CpIJbdt8zsOHZ1MjGNLtNWcTHTesU6NxcLPzzVvlj+gVr3/bqcSD5BJb9K7Bu1z+w4Ukx9svYwry7dS2ApD34d25kAb3ezI5UIZy9k8OGaQ3y+Pob0LNv/bR1qlePZHnVoElLa3HBy0xJTM1lzIIFf955idVQC51Mzc9a5ulhoHlrmrwHagqgZ5FtsxiZxtIIU3upq7gxcXKFaB7NTiIjY1a74XTnzeBc3kUfPXbXoBsiyGsScvlAsC++UjBSSM5JJyUgxO4oUYw+2DePrLbEcTrjAu78cYOJt4WZHKtaS0jL5dF00n/0WTUp6FgDNQ8swtkcd2tQIvM69pajQnOHmU+EtIiIO4eHqkfNTnGRbDaZ8vyfP9RZgyvd7uDW8Yp6jnotI3jzcXHj5tnCGzd7C5+tjGNIqhJpBfte/oxTIxYxsPt8Qw4drDuWc/QwP9mdczzp0rlNeZzyLsRuZM7xb3Qp0rlueID/1yrxRKrxFRMQhDj992OwIDrE5+ixxiWl5rjeAuMQ0Nkef1dkikRvUuU4Q3esFsXJvPFO+38P/PdxKhaCdpGdlM3fzUd5fdZCE5HQAapQvxZhb69C7QUUNaFcCac7wwqHCW0REpADik/Muum9kOxG5upf6hrM26jTrDpxm5d54bg2vYHakIi0r28qCbcd5Z+UBjp+/CECVMt6M7l6bAU0qaYRrAQo+Z3jXv6Yqa6c5w69Lz46IiEgB5LebnbrjidycsHKleKRDNT5YfYh//7CHDrXKaaaAG2C1Gvy4M463V0ZxOOECAEF+nvyra03ublkVDzcV3HJ1+ZkzfO6Wo8zdojnD80OFt4iISAG0qlaW4AAvTiamcbVpQSxAxQAvWlUrW9jRRIqdUV1qsuDPY8SeTeW/v0UzsktNsyMVGYZh8Ou+eKb9HMXeuCQAyvi480TnGtzfOgxvD32JIQVT0DnDu9atQLd6QTQN0ZzhoMJbREQc5OOtH5OSkYKvhy/Dmw83O47duLpYmNQvnCe+/BML5Cq+L13pNqlfuAZWE7GDUp5uPN+7Ls/M2877vx5kULPKBAd4mx3L6a0/eJq3ft7PttjzAPh6uvFYh+o83D4MPy9NzyY3z9PNlQ61ytOhVnkm9Qu/Ys7wqFMpRJ1K4cM1h3LNGd65dhABPtd/DWZbDTZHnyU+OY0gP9uX2UX9c1WFt4iIOMQra17JmU6sOBXeAL0aBPPBfc2Y8v2eXAOtVQzwYlK/cHo1CDYxnUjxMqBJZb7YcIQ/Y8/z+k/7eOeepmZHclp/xp5j2vL9rD90BgAvdxcebBvGiI41KFOqeM0wIc7DYrFQM8iXmkG+DO9Y46pzhi+OPMHiyBM5c4Z3qxtEt3pB1Ch/5Zzhy3bFXfH5GlwMPl9VeIuIiNyAXg2CuTW8YrH7Rl7E2VgsFqb0b0D/iN9YHHmC+1uH0iJMl3L8054TScxYsZ+Ve+MBcHe1MKRVVUZ1qUmQv8abkMKV3znDp15lzvBV++J54ss/r7iU62RiGk98+Scf3NesyBbfFsMwrnaJmvwlKSmJgIAAEhMT8ff3z7UuLS2N6OhoqlWrhpdX0f5PbfXq1XTp0oVz585RunTpQjvunDlzGD16NOfPn7/hfcTExFCtWjW2bdtGkyZNrrqNWY+vIIrT60kE4IeoH7iYeRFvd29uq32b2XHEDtSmYqbnv9vB3C1HqV/JnyWj2utLLuBwQgozVkTxw444AFwscEezKjzVrZYGtxKnlGvO8ENnyMi25qzzdnfBakB6lvWq9700hspvz3V1mvf/tWrFy+kq9xKoc+fOjB492uwYTicsLAyLxcLcuXOvWFe/fn0sFgtz5szJtf3MmTOvuq8zZ87Qq1cvKlWqhKenJyEhIYwaNYqkpCQHpRdxPrfVvo3B9QerQCtG1KZiprE96+Dn5cbuE0l888dRs+OY6ti5VMbP386tb6/NKbpvaxTMijGdeGtwYxXd4rQuzRn++cOt2PbyrXx8f3PuaRlCkJ8nFzOteRbdYBtTJS4xjc3RZwsvsB2p8JYblpmZaXYEuwsJCWH27Nm5lm3cuJGTJ09SqlSpfO/HxcWF22+/nSVLlhAVFcWcOXNYuXIlI0aMsHdkERGREqGcryeju9cG4K3l+0lMLX5/h1xPfHIakxbvouu0NXzzxzGyrQbd6gbx41Ptef/eZtQo72t2RJF8K+XpRo/6FXn9jkZsfKEb43rWydf94pPTrr+RE1LhXcIMGzaMNWvW8M4772CxWLBYLMTExOSs37p1Ky1atMDHx4e2bduyf//+nHWTJ0+mSZMmfPbZZ1SvXh1PT08MwyAxMZHhw4cTFBSEv78/Xbt2Zfv27Tn32759O126dMHPzw9/f3+aN2/OH3/8kSvX8uXLqVevHr6+vvTq1Yu4uLicdVarlVdeeYUqVarg6elJkyZNWLZs2TUf59KlS6lduzbe3t506dIl12O8lqFDh7JmzRqOHv37m/TPPvuMoUOH4uaW/yERypQpwxNPPEGLFi0IDQ2lW7duPPnkk6xbty7f+xAREZHcHmgTSs0gX85eyGDmL1Fmxyk051MzeP2nfXR8cxWfbzhCRraVtjUC+e6Jtvx3WEvqVwowO6LITXFxsdCsapl8bRvkVzQvySwxhXdqaiqhoaGMHTvW7Cimeuedd2jTpg2PPfYYcXFxxMXFERISkrN+woQJTJ8+nT/++AM3NzcefvjhXPc/ePAg33zzDd999x2RkZEA9O3bl5MnT7J06VK2bt1Ks2bN6NatG2fP2rqBDB06lCpVqrBlyxa2bt3K888/j7v739MIpKamMm3aNL744gvWrl1LbGxsrnZ65513mD59OtOmTWPHjh307NmT/v37c+DAgas+xqNHjzJo0CD69OlDZGQkjz76KM8//3y+np8KFSrQs2dPPv/885xs8+bNu+J5KKgTJ06wYMECOnXqdFP7ESlKzqSeIeFCAmdSz5gdRexk64mtbDi6ga0ntpodRUood1cXJvULB+D/Nhwh6lSyyYkcKyU9i3dWHqDDG6v4cM0h0jKtNAkpzVeP3sL/HmtN89D8FSoiRUGramUJDvAir6u3LdhGN29VrWgOrlhiCu9XX32VW265pVCONWPDDKrMqEKVGVVYHbM617roc9E56/619F9X3Lf/1/1z1l9uTuScnHUL9i64oWwBAQF4eHjg4+NDxYoVqVixIq6urjnrX331VTp16kR4eDjPP/8869evJy3t7+4cGRkZfPHFFzRt2pRGjRqxatUqdu7cybfffkuLFi2oVasW06ZNo3Tp0syfPx+A2NhYunfvTt26dalVqxaDBw+mcePGOfvMzMzkww8/pEWLFjRr1oxRo0bxyy+/5KyfNm0azz33HPfccw916tThjTfeoEmTJnleX/3BBx9QvXp13n77berUqcPQoUMZNmxYvp+jhx9+mDlz5mAYBvPnz6dGjRp5Dtp2PUOGDMHHx4fKlSvj7+/Pp59+ekP7ESmKGn/YmKBpQTT+sPH1N5Yi4fa5t9P2s7bcPvd2s6NICdahVnl6hFcg22ow5fvdFMdxgtMys/lk7WE6vPErb6+MIjk9i7oV/fj0gRYsfLIt7WqWMzuiiN25ulhyvli7vPi+dHtSv3CnGVitoEpE4X3gwAH27dtHnz59CuV4SelJHE8+zvHk46Rnpedal21k56w7l3buivsmpCbkrL/chYwLOetSM1Mdkr1Ro0Y5vwcH24bqj4+Pz1kWGhpK+fLlc25v3bqVlJQUAgMD8fX1zfmJjo7m0KFDAIwZM4ZHH32U7t278/rrr+csv8THx4caNWrkOu6lYyYlJXHixAnatWuX6z7t2rVj7969V30Me/fupXXr1rnmBGzTpk2+n4O+ffuSkpLC2rVr+eyzz27qbPfbb7/Nn3/+yaJFizh06BBjxoy54X2JiIiIzUt9w/Fwc+H3g2dYvvuU2XHsJiPLyhcbj9DprVW8unQv51IzqVauFO8NacrSpzrQPbzCFXMeixQnvRoE88F9zagYkLs7ecUAryI9lRg4wTzea9eu5a233mLr1q3ExcWxcOFCBgwYkGubWbNm8dZbbxEXF0f9+vWZOXMmHTp0yPcxxo4dy1tvvcX69evtnP7q/D39qexXGQBPN89c61wtrjnrynhd2T2ovE/5nPWXK+VRKmedj7tjRqv8ZxfwS/+xW61/jy54+QBjVquV4OBgVq9efcW+Lk3bNXnyZO69915+/PFHfvrpJyZNmsTcuXMZOHDgFce8dNzLv72+/EPGMIw8P3hu9ptvNzc37r//fiZNmsSmTZtYuHDhDe/rUq+CunXrEhgYSIcOHZg4cWLOlxoixdmtNW7lTOoZAn0CzY4iIsVM1UAfhneozvurDvKfH/fQuU55vNxdr39HJ5VtNVi47Tjv/BLF0bMXAahc2punu9ViULPKuLmWiHNlIoCt+L41vCKbo88Sn5xGkJ+te3lRPdN9iemF94ULF2jcuDEPPfQQd9xxxxXr582bx+jRo5k1axbt2rXjo48+onfv3uzZs4eqVasC0Lx5c9LT06+4788//8yWLVuoXbs2tWvXLrTCe0ybMYxpc/Uzm9XKVOPYmGN53nfJkCV5rhvWZBjDmgy72Xh4eHiQnZ190/sBaNasGSdPnsTNzY2wsLA8t7vUBs888wxDhgxh9uzZOYX3tfj7+1OpUiV+++03OnbsmLN8/fr1tGrV6qr3CQ8PZ9GiRbmWbdy4MV+P55KHH36YadOmcffdd1OmjH2un7r0hcDVXqsixdHs22dffyMRkRv0ZJcazN96jGPnLvLJ2sP8q1stsyMVmNVqsGz3SWasiOJgfApgG719VJcaDLmlKp5uRffLBJGb4epioU2N4vXFvemFd+/evendu3ee62fMmMEjjzzCo48+CsDMmTNZvnw5H3zwAVOnTgVs3Z3zsnHjRubOncu3335LSkoKmZmZ+Pv78/LLL9v3gRQhYWFhbNq0iZiYGHx9fSlb9sYHKOjevTtt2rRhwIABvPHGG9SpU4cTJ06wdOlSBgwYQP369Rk3bhx33nkn1apV49ixY2zZsuWqX7LkZdy4cUyaNCnnWuvZs2cTGRnJV199ddXtR4wYwfTp0xkzZgyPP/44W7duzTX/dn7Uq1eP06dP4+Nz7Z4Fx48fzxlk7pKqVauyceNGTp06RcuWLfH19WXPnj2MHz+edu3aXfMLChEREckfHw83XuhTl6fnRhKx+iB3NK9CpdLeZsfKF8MwWB2VwLTl+9l9IgmAAG93RnSqwYNtQ/HxMP1PdBGxM6d+V2dkZOSMgv1PPXr0yPfZ66lTp+YU6HPmzGHXrl3XLLrT09NznZFMSkq6geTObezYsTz44IOEh4dz8eJFoqOjb3hfFouFpUuXMmHCBB5++GESEhKoWLEiHTt2pEKFCri6unLmzBkeeOABTp06Rbly5Rg0aBBTpkzJ9zGeeuopkpKSePbZZ4mPjyc8PJwlS5ZQq9bVv9muWrUq3333Hc888wyzZs2iVatWvPbaawW+Vjsw8Prfsk2bNo1p06blWjZ79mxCQ0P55JNPeOaZZ0hPTyckJIRBgwble3R1ERERub7+jSvx5cYjbIk5x9Sf9vHekKZmR7qujYfPMG35fv44Yhvrp5SHK490qM6jHarh7+V+nXuLSFFlMZxoKEiLxZLrGu8TJ05QuXJlfv/9d9q2bZuz3Wuvvcbnn3+ea47p/LhUeF9eKP3T5MmTr1oUJiYm4u/vn2tZWloa0dHRVKtWDS+vojmfnDgPvZ5ExNlVmVGF48nHqexX+ZqXTYkUpl3HE+n3/m8YBswb3ppbqjtn99TtR88z7ef9rDtwGgBPNxceaBPKiE41CPT1vM69RcQZJSUlERAQcNVa8XJOfcb7koIMrHUt+ZlS6oUXXsg18nRSUlKuea5FRCR/hi4YyunU05TzKcdXg65+aYiIyM1qUDmAe1pW5evNsUz+fg8//Ku9Uw3CtP9kMtN/3s/Pe2yjr7u5WLinVQijutS6YuRmESm+nLrwLleuHK6urpw8eTLX8vj4eCpUqOCQY3p6euLpqW8dRURu1pqYNTlnR0VEHGlsj9r8uOMEe+OS+HpzLPe1DjU7EjGnL/D2yiiWbD+BYYCLBQY0rczobrWpGuiY2WlExHk59dwEHh4eNG/enBUrVuRavmLFilxdz0VERESk5Ar09WTMrbUBmPbzfs6nZpiW5cT5i7ywYAfdZqxhcaSt6O7TsCI/P9ORGXc1UdEtUkKZfsY7JSWFgwcP5tyOjo4mMjKSsmXLUrVqVcaMGcP9999PixYtaNOmDR9//DGxsbGMGDHCobkiIiKIiIiw27RbIiIlzd6RezEwsOA8XT7l5qhNxZnd1zqU/22OJepUCm+viGLK7Q0K9fgJyenMWn2QrzbGkpFtBaBznfKM7VGHBpUDCjWLiDgf0wdXW716NV26dLli+YMPPpgzBdSsWbN48803iYuLo0GDBrz99tu55nR2pGtdMK/BsMSe9HoSERG5Ob8fPM3QTzfhYoGlT3egbsVrD3ZkD4mpmXy09hCzf4/hYqbthE2ramUZ17MOLcNufMpWEXF+BRlczfTC29mp8JbCoteTiIjIzRvxxVaW7T5Jm+qB/O+xW25oQN78uJCexezfo/lo7WGS07IAaFQlgLE96tChVjmHHVdEnEexG9VcRERERCQ/JvStx6r98Ww4fIafdp2kT8Ngu+4/LTObrzbFMmvVQc5csF1LXqeCH2N61KZHeAUV3CJyVSq886BrvEVEbs6CvQtIzUzFx92HQfUGmR1H7GDGhhkkpSfh7+nPmDZjrn8HEROElPXh8Y7VeffXg7z641661AnC28P1pvebmW3l2z+O8d6vB4hLTAMgNNCHMbfW5rZGlZxqCjMRcT7qan4d6mouhUWvJyluqsyokjOd2LExx8yOI3agNpWi4mJGNt2mr+ZEYhqju9didPfaN7yvbKvB99tP8PbKKI6cSQUgOMCLp7rV4s7mVXB3depJgkTEgQrS1Vz/UwhgG+TOYrFw/vz5Qj3unDlzKF269E3tIyYmBovFQmRkZJ7bmPX4REREpPB5e7jyQp96AHyw+hDHzqUWeB+GYbBs10l6v7OW0fMiOXImlXK+Hrx8WzirxnZmSKuqKrpFJN/0v0UJ1LlzZ0aPHm12DKcTFhaGxWJh7ty5V6yrX78+FoslZ6T9S9vPnDkzz/09/fTTNG/eHE9PT5o0aWL/wCJO7j9d/8P7vd/nP13/Y3YUESmBbmsUTKtqZUnPsjJ16b58388wDNZEJXB7xO+M+HIrUadS8PdyY1zPOqwZ14WH21fDy/3mu66LSMmia7zlhmVmZuLu7m52DLsKCQlh9uzZ3HPPPTnLNm7cyMmTJylVqlSB9mUYBg8//DCbNm1ix44d9o4q4vSGNRlmdgQRKcEsFguT+9XntvfW8ePOOIYeOk3bGuWueZ8tMWd5a/l+NkefBcDHw5WH2oUxvEMNAnyK1988IlK4dMY7DxEREYSHh9OyZUuzo9jVsGHDWLNmDe+88w4WiwWLxUJMTEzO+q1bt9KiRQt8fHxo27Yt+/fvz1k3efJkmjRpwmeffUb16tXx9PTEMAwSExMZPnw4QUFB+Pv707VrV7Zv355zv+3bt9OlSxf8/Pzw9/enefPm/PHHH7lyLV++nHr16uHr60uvXr2Ii4vLWWe1WnnllVeoUqVKztnjZcuWXfNxLl26lNq1a+Pt7U2XLl1yPcZrGTp0KGvWrOHo0aM5yz777DOGDh2Km1vBvqd69913GTlyJNWrVy/Q/URERMQ+wiv5c+8tVQGYsmQ3vx1IYHHkcTYcOkO29e9hjnYeS+TBzzYz+MMNbI4+i4ebCw+3q8ba8V0Y17Ouim4RuWkqvPMwcuRI9uzZw5YtW8yOYlfvvPMObdq04bHHHiMuLo64uDhCQkJy1k+YMIHp06fzxx9/4ObmxsMPP5zr/gcPHuSbb77hu+++y7mmum/fvpw8eZKlS5eydetWmjVrRrdu3Th71vZt8dChQ6lSpQpbtmxh69atPP/887nOlKempjJt2jS++OIL1q5dS2xsLGPHjs2Vefr06UybNo0dO3bQs2dP+vfvz4EDB676GI8ePcqgQYPo06cPkZGRPProozz//PP5en4qVKhAz549+fzzz3OyzZs374rnQURERIqGZ2+tg4+HK/tPpXDffzfz9NxIhnyykfZv/Mpnv0Uz4out9Hv/N9ZEJeDqYmFIq6qsHtuZl/uFU87X0+z4IlJMqKu5A8zYMIMZG2Zcd7tmwc1YMmRJrmX9v+7Pn3F/Xve+Y9qMuaGpXAICAvDw8MDHx4eKFStesf7VV1+lU6dOADz//PP07duXtLS0nFG2MzIy+OKLLyhfvjwAv/76Kzt37iQ+Ph5PT9uH07Rp01i0aBHz589n+PDhxMbGMm7cOOrWrQtArVq1ch0zMzOTDz/8kBo1agAwatQoXnnllZz106ZN47nnnsvp/v3GG2+watUqZs6cSURExBWP4YMPPqB69eq8/fbbWCwW6tSpw86dO3njjTfy9Rw9/PDDPPvss0yYMIH58+dTo0YNXaMtIiJSRG2KPkNqxpXTw8YlpvHKD3sAsFjg9saVGN29NmHlCnZpmYhIfqjwdoCk9CSOJx+/7nYhASFXLEtITcjXfZPSk24o2/U0atQo5/fg4GAA4uPjqVrV1k0rNDQ0p+gGW9f0lJQUAgMDc+3n4sWLHDp0CIAxY8bw6KOP8sUXX9C9e3cGDx6cU2QD+Pj45LodHBxMfHw8YBui/8SJE7Rr1y7X/tu1a5erO/s/7d27l9atW2Ox/D2fZps2bfL9HPTt25fHH3+ctWvX8tlnn+lst8gN0tRTImK2bKvBlO/3XHMbLzcXFjzZjvBK154KSETkZqjwdgB/T38q+1W+7nblfcpfdVl+7uvv6ZgPh392Ab9UuFqt1pxllw8wZrVaCQ4OZvXq1Vfs69I0YZMnT+bee+/lxx9/5KeffmLSpEnMnTuXgQMHXnHMS8e9fHr5fxbRYBu47PJl/1x3M9zc3Lj//vuZNGkSmzZtYuHChTe1PxERETHH5uizxCWmXXObtCwriRczCymRiJRUKrwd4Ea7gQNXdD13BA8PD7Kzr+xydSOaNWvGyZMncXNzIywsLM/tateuTe3atXnmmWcYMmQIs2fPzim8r8Xf359KlSrx22+/0bFjx5zl69evp1WrVle9T3h4OIsWLcq1bOPGjfl6PJc8/PDDTJs2jbvvvpsyZcoU6L4iYtMsuBkhASFX/ZJRiia1qRQ18cnXLroLup2IyI1S4Z2HiIgIIiIi7FagOpOwsDA2bdpETEwMvr6+lC1b9ob31b17d9q0acOAAQN44403qFOnDidOnGDp0qUMGDCA+vXrM27cOO68806qVavGsWPH2LJlC3fccUe+jzFu3DgmTZqUc6317NmziYyM5Kuvvrrq9iNGjGD69OmMGTOGxx9/nK1bt+aafzs/6tWrx+nTp/Hx8bnmdsePH88ZZO6SqlWrUrZsWQ4ePEhKSgonT57k4sWLOduFh4fj4eFRoDwiRVFhfJEohUttKkVNkJ+XXbcTEblRKrzzMHLkSEaOHElSUhIBAQFmx7GrsWPH8uCDDxIeHs7FixeJjo6+4X1ZLBaWLl3KhAkTePjhh0lISKBixYp07NiRChUq4OrqypkzZ3jggQc4deoU5cqVY9CgQUyZMiXfx3jqqadISkri2WefJT4+nvDwcJYsWXLFIG2XVK1ale+++45nnnmGWbNm0apVK1577bUCX6t9+XXrVzNt2jSmTZuWa9ns2bMZNmwYjz76KGvWrMlZ3rRpUwCio6Ov2TtARERE7KNVtbIEB3hxMjGNq12IZgEqBnjRqtqNn4QQEckPi3GzF8QWc5cK78TERPz9c19XnZaWRnR0NNWqVcsZ9VvkRun1JCIiYn/LdsXxxJe2GWP++UfvpZFiPrivGb0aBBd6LhEp+q5VK15O83iLiIiISLHVq0EwH9zXjIoBub/UrhjgpaJbRAqNupqLiIhD/GvpvziXdo4yXmV4r897ZscRO+j/dX8SUhMo71Ne13tLkdKrQTC3hldkc/RZ4pPTCPKzdS93dbn6DCkiIvamwltERBxi4b6FOfN4q/AuHv6M+zOnTUWKGlcXC21qXH/8FhERR1BXcxEREREREREH0hnvPBTn6cRERArDuofWkW1k42pxNTuKiIiIiKlUeOehINOJWa3WQkolxZleR1LcVCtTzewIIiIiIk5BhfdN8PDwwMXFhRMnTlC+fHk8PDywWDRIhxSMYRhkZGSQkJCAi4sLHh4eZkcSERERERE7UuF9E1xcXKhWrRpxcXGcOHHC7DhSxPn4+FC1alVcXDT0goiIiIhIcaLC+yZ5eHhQtWpVsrKydD243DBXV1fc3NzUY0KKldUxq0nPSsfTzZPOYZ3NjiMiIiJiGhXedmCxWHB3d8fd3d3sKCIiTuO+BfflTD11bMwxs+OIiIiImEZ9WkVEREREREQcSGe8RUTEIca0GUNSehL+nv5mRxE7UZuKiIjcGIthGIbZIZzRP+fxjoqKIjExEX9//aEhIiIiIiIi5Ew9nZ9aUYX3dSQmJlK6dGmOHj2qwltEREREREQAW+EdEhLC+fPnCQgIuOa26mp+HcnJyQCEhISYnEREREREREScTXJy8nULb53xvg6r1cqJEyfw8/Nz2qmeLn3TorPyxYvatXhSuxY/atPiSe1aPKldiye1a/FUFNrVMAySk5OpVKkSLi7XHrdcZ7yvw8XFhSpVqpgdI1/8/f2d9kUpN07tWjypXYsftWnxpHYtntSuxZPatXhy9na93pnuSzSdmIiIiIiIiIgDqfAWERERERERcSAV3sWAp6cnkyZNwtPT0+woYkdq1+JJ7Vr8qE2LJ7Vr8aR2LZ7UrsVTcWtXDa4mIiIiIiIi4kA64y0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTC2wmsXr2asLAwU469aNEiYmNjTTl2cad2LZ7UrsWT2rV4UrsWP2rT4kntWjypXXNT4e2kZs2aRbVq1fDy8qJ58+asW7fOIdssXryYWbNmOexxSG72aLO1a9fSr18/KlWqhMViYdGiRVfsQ+1auOzRZvnZj9q1cNmjXfV+dS72ei/mZxu1a+GwV5vqvepc7PX/K+i96kzs1a5F9f2qwtsJzZs3j9GjRzNhwgS2bdtGhw4d6N27d65vbey1zYABA1i8eHGhPr6Syl5tduHCBRo3bsz777+f57HUroXHXm2m96tzsVe76v3qXOz1XtT71XnYq031XnUu9vr/Ve9V52Kvdi2y71dDTLdq1SojNDQ053arVq2MESNG5Nqmbt26xvPPP2/3bVJTUw0fHx9j//799ngo8g+Oatd/AoyFCxdesVzt6jg30q7/lFeb6f1qLke1a362Ubs6zuXt+k83817U+9U8jmrT/OxHbeo4N9Ku+dlG71VzOapd87ONM7arzng7mYyMDLZu3UqPHj1yLe/Rowfr16+36zYA3t7e3Hrrrc73jVAxY882yw+1a+GwV5vp/epc7PlezA+1q/PQ52vxo8/Wkkvv1ZLNGdtVhbeTOX36NNnZ2VSoUCHX8goVKnDy5Em7bnPJ7bff7lQvyuLI3m2WH2pXx7NXm+n96lzs/V7MD7Wrc9Dna/Gjz9aSS+9VcbZ2VeHtpCwWS67bhmFcscxe2/Tr14+NGzdy5syZm40t12GvNssPtWvhsVeb6f3qXOzVrvmhdnUu+nwtfvTZWnLpvVpyOVu7qvB2MuXKlcPV1fWKb+Li4+NzvrGz1zaXHD9+HF9fX/z9/e39cOQv9m6z/FC7Op692kzvV+di7/difqhdnYM+X4sffbaWXHqvirO1qwpvJ+Ph4UHz5s1ZsWJFruUrVqygbdu2dt3mksWLF9OnTx/c3d3t/XDkL/Zus/xQuzqevdpM71fnYu/3Yn6oXZ2DPl+LH322llx6r4qztaub2QHkSmPGjOH++++nRYsWtGnTho8//pjY2FhGjBhh923ANsH8c889V2iPr6SyV5ulpKRw8ODBnNvR0dFERkZStmxZqlatmrNc7Vo47NVmer86F3u1q96vzsVe70W9X52HvdpU71XnYq//X/VedS72atci+341ZzB1+aerDbUfERFhhIaGGh4eHkazZs2MNWvWXHE/e2wTGxtreHh4GImJiXZ9TOK4dl21apUBXPHz4IMP5myjdnWcG2nX/LRZfvajdnUcR7Wr3q/murxd7fVezM82alfHcFSb6r1qrhtpV322Oj9HtWtRfb+q8HYC15rjztHeffddo0ePHqYcu7hTuxZPatfiSe1aPKldix+1afGkdi2e1K656RrvEm7x4sX079/f7BhiZ2rX4kntWjypXYsntWvxozYtntSuxZMztquu8S7hVq5caXYEcQC1a/Gkdi2e1K7Fk9q1+FGbFk9q1+LJGdtVZ7ydQFhYGKNHjzY7htiZ2rV4UrsWT2rX4kntWvyoTYsntWvxpHbNzWIYhmF2CBEREREREZHiSme8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTCW0RERERERMSBVHiLiIiIiIiIOJAKbxEREREREREHUuEtIiIOMWzYMCwWCyNGjLhi3ZNPPonFYmHYsGGFH6yY6dy5M6NHjy52xxIRESlOVHiLiIjDhISEMHfuXC5evJizLC0tja+//pqqVauamCx/MjIyzI4gIiIixYAKbxERcZhmzZpRtWpVFixYkLNswYIFhISE0LRp05xlhmHw5ptvUr16dby9vWncuDHz58/Pta9ly5bRvn17SpcuTWBgILfddhuHDh3Ktc38+fNp2LAh3t7eBAYG0r17dy5cuABAWFgYM2fOzLV9kyZNmDx5cs7tzp07M2rUKMaMGUO5cuW49dZb85Wtc+fO/Otf/2L06NGUKVOGChUq8PHHH3PhwgUeeugh/Pz8qFGjBj/99FOBHnPnzp156qmnGD9+PGXLlqVixYq58g4bNow1a9bwzjvvYLFYsFgsxMTEXLUt0tPTeeqppwgKCsLLy4v27duzZcuWnPXXe37yOpbVauWNN96gZs2aeHp6UrVqVV599dV8H/dGnrv8Pn/Xej3kR0xMDBaLhQULFtCxY0e8vb1p3rw5MTExrF69mlatWuHj40OXLl04e/asafsszP2LiMgNMkRERBzgwQcfNG6//XZjxowZRrdu3XKWd+vWzXj77beN22+/3XjwwQcNwzCMF1980ahbt66xbNky49ChQ8bs2bMNT09PY/Xq1Tn3mz9/vvHdd98ZUVFRxrZt24x+/foZDRs2NLKzsw3DMIwTJ04Ybm5uxowZM4zo6Ghjx44dRkREhJGcnGwYhmGEhoYab7/9dq6MjRs3NiZNmpRzu1OnToavr68xbtw4Y9++fcbevXvzla1Tp06Gn5+f8e9//9uIiooy/v3vfxsuLi5G7969jY8//tiIiooynnjiCSMwMNC4cOFCvh9zp06dDH9/f2Py5MlGVFSU8fnnnxsWi8X4+eefDcMwjPPnzxtt2rQxHnvsMSMuLs6Ii4szsrKyrtoeTz31lFGpUiVj6dKlxu7du40HH3zQKFOmjHHmzJl8PT95HWv8+PFGmTJljDlz5hgHDx401q1bZ3zyySf5Pu6NPHf5ef6u93rIj4ULFxqA0a1bN2PdunXGtm3bjNDQUKN9+/ZGr169jM2bNxubNm0yAgMDjTfffNO0fRbm/kVE5Mao8BYREYe4VHgnJCQYnp6eRnR0tBETE2N4eXkZCQkJOYV3SkqK4eXlZaxfvz7X/R955BFjyJAhee4/Pj7eAIydO3cahmEYW7duNQAjJibmqtvnt/Bu0qRJzu38ZuvUqZPRvn37nNtZWVlGqVKljPvvvz9nWVxcnAEYGzZsuOH9GoZhtGzZ0njuuedybfP0009f9TH/83G4u7sbX331Vc6yjIwMo1KlSjnFV36fn38eKykpyfD09MxVaBf0uAV97i7t93rP3/VeD/kxefJko0yZMkZCQkLOsmHDhhlVq1Y1UlJScpb16tXLGDNmjGEYhrFu3Trjtddes+s+Fy5caIwePdphmRcuXHjd15CIiNwcN/POtYuISElQrlw5+vbty+eff45hGPTt25dy5crlrN+zZw9paWnceuutue6XkZGRqzv6oUOHmDhxIhs3buT06dNYrVYAYmNjadCgAY0bN6Zbt240bNiQnj170qNHD+68807KlClToLwtWrQocDaARo0a5fzu6upKYGAgDRs2zFlWoUIFAOLj4294vwDBwcHEx8cX6DEdOnSIzMxM2rVrl7PM3d2dVq1asXfv3gLt65/27t1Leno63bp1u6njFuS5g/y1iz1eD5GRkfTv3z/X6zU2NpYhQ4ZQqlSpXMv69u0LQPv27Wnfvr1d97ljxw4aN27ssMw7duy44nUmIiL2pcJbREQc7uGHH2bUqFEARERE5Fp3qYD+8ccfqVy5cq51np6eOb/369ePkJAQPvnkEypVqoTVaqVBgwY5A6C5urqyYsUK1q9fz88//8x7773HhAkT2LRpE9WqVcPFxQXDMHLtPzMz84qs/yxO8psNbAXlP1ksllzLLBZLzj5vdr+X7p9flx73pQz/XH5pWX6fn3/y9va+6eNCwZ67f/57refveq+H/Ni+fTvjx4/PtSwyMjLntQy2wQKjoqJo0qQJAAMHDmTSpEk5t+2xzx07dtC/f38SExMZOnQoAwcO5JFHHrHr/vv06ZPn8yAiIjdPg6uJiIjD9erVi4yMDDIyMujZs2eudeHh4Xh6ehIbG0vNmjVz/YSEhABw5swZ9u7dy0svvUS3bt2oV68e586du+I4FouFdu3aMWXKFLZt24aHhwcLFy4EoHz58sTFxeVsm5SURHR09DVz5yfbjbDnfj08PMjOzr7mNjVr1sTDw4PffvstZ1lmZiZ//PEH9erVA/L3/Fx+rFq1auHt7c0vv/xyw8e9Efl9/q71eriepKQkYmJicvVAOHLkCGfPns21bPfu3WRnZ+eckd67d2+ej+1G97lv3z48PT3p1asXo0ePzrPovtH97969m/r16+freRERkRujM94iIuJwrq6uOV2LXV1dc63z8/Nj7NixPPPMM1itVtq3b09SUhLr16/H19eXBx98kDJlyhAYGMjHH39McHAwsbGxPP/887n2s2nTJn755Rd69OhBUFAQmzZtIiEhIacI6tq1K3PmzKFfv36UKVOGiRMnXpHlcvnJdiPsud+wsDA2bdpETEwMvr6+lC1bFheX3N+rlypViieeeIJx48ZRtmxZqlatyptvvklqampOEZef5+dqx3ruuecYP348Hh4etGvXjoSEBHbv3s0jjzySr+M66vm73uvherZv346Li0uuLtiRkZGULl2asLCwXNtVr14dPz8/Lly4gJub2xW9Fm5mn6mpqZw4cYIhQ4bw1VdfXbNAvtH9u7i4XLf3goiI3BwV3iIiUij8/f3zXPfvf/+boKAgpk6dyuHDhyldujTNmjXjxRdfBGzdoOfOnctTTz1FgwYNqFOnDu+++y6dO3fOtf+1a9cyc+ZMkpKSCA0NZfr06fTu3RuAF154gcOHD3PbbbcREBDAv//97+ue8c5Pthtlr/2OHTuWBx98kPDwcC5evEh0dHSuIuuS119/HavVyv33309ycjItWrRg+fLlOdc85+f5udqxJk6ciJubGy+//DInTpwgODiYESNG5Pu4N+p6z9/1Xg/Xs337durWrZurIN22bdsV11pv3749p8v2rl27aNCgQc66OXPm8NBDD+V0ub/RfbZu3Zrjx49f0SXfXvvX2W4REcezGJdf0CUiIiIiBfbpp59y6tQpJkyYAMDkyZNZvXo1q1evvql9JiQk0KNHD4YPH87atWtzxiGw1/5PnjzJSy+9dMP7EBGR69M13iIiIiJ2sHPnzlyjsS9fvpw333zzpvfZoEEDmjdvzvDhw3n00Uftvn+NaC4i4ng64y0iIiJiB82aNePHH38kODjY7CgiIuJkdMZbRERE5CZkZGTQrFkzevXqpaJbRESuSme8RURERERERBxIZ7xFREREREREHEiFt4iIiIiIiIgDqfAWERERERERcSAV3iIiIiIiIiIOpMJbRERERERExIFUeIuIiIiIiIg4kApvEREREREREQdS4S0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA6nwFhEREREREXEgFd4iIiIiIiIiDqTCW0RERERERMSBVHiLiIiIiIiIOJAKbxEREREREREHUuEtIiIiIiIi4kAqvEVEREREREQcSIW3iIhIEbdx40YGDx5McHAwHh4eBAcHc9ddd7Fly5ab2q/FYmHUqFHX3W716tVYLBZWr16ds2zp0qVMnjw538f6+uuv6dixIxUqVMDT05NKlSrRr18/1q9ffwPJRUREnIsKbxERkSLsvffeo127dhw7dow333yTlStX8tZbb3H06FFat27Nxx9/7PAMzZo1Y8OGDTRr1ixn2dKlS5kyZUq+93HmzBnatWvHrFmz+Pnnn5kxYwanTp2iY8eOrFmzxhGxRURECo2b2QFERETkxvz++++MHj2aPn36sHDhQtzc/v5Yv+eeexg4cCBPPvkkTZs2pWXLlg7L4e/vT+vWrW9qH1c7s967d2/Kly/Pf//7Xzp16nRT+xcRETGTzniLiIgUUVOnTsVisfDBBx/kKroB3NzcmDVrVs52lwwbNoywsLAr9jV58mQsFstVj/PRRx9Ru3ZtPD09CQ8PZ+7cubnWX97VfNiwYURERAC27uqXfmJiYgr0+Pz8/PDy8rrisYmIiBQ1+iQTEREpgrKzs1m1ahUtWrSgSpUqV90mJCSE5s2bs3LlSqxWKy4uBf++fcmSJaxatYpXXnmFUqVKMWvWLIYMGYKbmxt33nnnVe8zceJELly4wPz589mwYUPO8uDg4Hw9LqvVyvHjx5k6dSqGYTBy5MgC5xYREXEmKrxFRESKoNOnT5Oamkq1atWuuV21atXYvHkzZ8+epVy5cjd0nC1btlChQgUA+vTpQ4MGDXjhhRfyLLxr1KiRs31Bu6DXr1+f/fv3A7ZCfdmyZTRv3rzAuUVERJyJupqLiIgUY4ZhAOTZjfx6unXrllNEA7i6unL33Xdz8OBBjh07ZpeM//Tdd9+xadMmvv32W8LDw+ndu3eu0dJFRESKIhXeIiIiRVC5cuXw8fEhOjr6mtvFxMTg7e1NYGDgDR2nYsWKeS47c+bMDe3zWurXr0+rVq248847WbZsGaGhoTz99NN2P46IiEhhUuEtIiJSBLm6utK1a1f++OOPPM88Hzt2jK1bt9K1a9ecZV5eXqSnp1+x7enTp6+6j5MnT+a57EaL+fxyc3OjWbNmREVFOfQ4IiIijqbCW0REpIh6/vnnMQyDJ598kuzs7FzrsrOzeeKJJ8jOzs51xjgsLIz4+HhOnTqVsywjI4Ply5df9Ri//PJLrm2zs7OZN28eNWrUyHNQNwBPT08ALl68eEOPDSAtLY2NGzdSs2bNG96HiIiIM9DgaiIiIkVUu3btmDlzJk8//TTt27dn1KhRVK1aldjYWCIiItiwYQOTJ0/m1ltvzbnP3Xffzcsvv8w999zDuHHjSEtL4913372icL+kXLlydO3alYkTJ+aMar5v374rphS7XMOGDQF444036N27N66urjRq1AgPD4+rbt+2bVv69+9PvXr1CAgIICYmhg8++IBDhw6xcOHCG3yGREREnIPFuDTqioiIiBRJGzZsYPr06fz2228kJCRgtVrx8vLiu+++o0+fPlds/9NPP/Hiiy+yf/9+goODGTNmDAkJCUyZMoV//llgsVgYOXIk9evXZ/r06cTGxlKjRg0mTpzIvffem7Pd6tWr6dKlC6tWraJz586A7Sz6yJEjWbx4MadPn8YwDKKjo686hzjA2LFjWblyJTExMVy4cIFy5crRpk0bxo4dS9u2be36fImIiBQ2Fd4iIiLFzP/93//x4IMPMn78eN544w2z44iIiJR46mouIiJSzDzwwAPExcXx/PPPU6pUKV5++WWzI4mIiJRoOuMtIiIiIiIi4kAa1VxERERERETEgVR4i4iIiIiIiDiQCm8RERERERERB1LhLSIiIiIiIuJAGtX8OqxWKydOnMDPzw+LxWJ2HBEREREREXEChmGQnJxMpUqVcHG59jltFd7XceLECUJCQsyOISIiIiIiIk7o6NGjVKlS5ZrbqPC+Dj8/P8D2ZPr7+5ucRkRERERERJxBUlISISEhOTXjtajwvo5L3cv9/f1VeIuIiIiIiEgu+bkkWYOriYiIiIiIiDiQCm8RERERERERB1LhLSIiIiIiIuJAKrxFREREREREHEiFt4iIiIiIiIgDqfAWERERERERcSAV3iIiIiIiIiIOpMJbRERERERExIFUeIuIiIiIiIg4kApvEREREREREQdS4S0iIiIiIiLiQCq8RURERERERBxIhbeIiIiIiIiIA5WIwvuHH36gTp061KpVi08//dTsOCIiIiIiIlKCuJkdwNGysrIYM2YMq1atwt/fn2bNmjFo0CDKli1rdjQREREREREpAYr9Ge/NmzdTv359KleujJ+fH3369GH58uVmx7KbbKvBhkNnWBx5nA2HzpBtNcyOJCIiIiIiIv/g9Ge8165dy1tvvcXWrVuJi4tj4cKFDBgwINc2s2bN4q233iIuLo769eszc+ZMOnToAMCJEyeoXLlyzrZVqlTh+PHjhfkQHGbZrjimfL+HuMS0nGXBAV5M6hdOrwbBJiYTEYEZG2aQlJ6Ev6c/Y9qMMTuO2IHaVERE5MY4/RnvCxcu0LhxY95///2rrp83bx6jR49mwoQJbNu2jQ4dOtC7d29iY2MBMIwrzwBbLBaHZi4My3bF8cSXf+YqugFOJqbxxJd/smxXnEnJRERs5kTOIWJLBHMi55gdRexkxoYZTFkzhRkbZpgdRUREpEhx+jPevXv3pnfv3nmunzFjBo888giPPvooADNnzmT58uV88MEHTJ06lcqVK+c6w33s2DFuueWWPPeXnp5Oenp6zu2kpCQ7PAr7yrYaTPl+D1frVG4AFmDK93u4Nbwiri5F/0sGESmadjyxw+wIIiIiIk7B6c94X0tGRgZbt26lR48euZb36NGD9evXA9CqVSt27drF8ePHSU5OZunSpfTs2TPPfU6dOpWAgICcn5CQEIc+hhuxOfrsFWe6/8kA4hLT2Bx9tvBCiYiIiIiIyFUV6cL79OnTZGdnU6FChVzLK1SowMmTJwFwc3Nj+vTpdOnShaZNmzJu3DgCAwPz3OcLL7xAYmJizs/Ro0cd+hhuRHxy3kX3jWwnIiIiIiIijuP0Xc3z4/Jrtg3DyLWsf//+9O/fP1/78vT0xNPT06757C3Iz8uu24mIiIiIiIjjFOnCu1y5cri6uuac3b4kPj7+irPgxUmramUJDvDiZGLaVa/ztgAVA7xoVU1zlYuIeTQCtoiIiIhNke5q7uHhQfPmzVmxYkWu5StWrKBt27Y3te+IiAjCw8Np2bLlTe3HEVxdLEzqFw7YiuzLGcCkfuEaWE1ETKURsEVERERsnL7wTklJITIyksjISACio6OJjIzMmS5szJgxfPrpp3z22Wfs3buXZ555htjYWEaMGHFTxx05ciR79uxhy5YtN/sQHKJXg2A+uK8ZFQOu7E7uYoEqZXxMSCUiIiIiInKTrNkQvQ52zrf9a802O9FNsxhXm+jaiaxevZouXbpcsfzBBx9kzpw5AMyaNYs333yTuLg4GjRowNtvv03Hjh3tcvykpCQCAgJITEzE39/fLvu0p2yrwebos8QnpxHk58X/bYjmp12naFg5gEUj2+mst4iYZnXMatKz0vF086RzWGez44gdqE1FRMTh9iyBZc9B0om/l/lXgl5vQHj+xu0qLAWpFZ2+8Dabsxfel4tPSqPbjDUkp2Ux8bZwHmlfzexIIiIiIiIi17dnCXzzAFwxktVfJxPv+j+nKr4LUis6fVdzszjzNd7XEuTvxQu96wEw/ef9HDuXanIiERERERGR67Bm2850X3X46L+WLXu+yHY7V+GdB2e/xvta7mkZQquwsqRmZPPSol2oU4OIiIiIiDi1I+tzdy+/ggFJx23bFUEqvIshFxcLrw1qgIerC6v3J/DDjjizI4lICRR9LpqDZw8SfS7a7ChiJ6tjVrP84HJWx6w2O4qIiBQ3icfyt13KKcfmcBAV3sVUzSA/nuxSA4Ap3+8mMTXT5EQiUtJ0mN2BWu/VosPsDmZHETu5b8F99PqqF/ctuM/sKCIiUpzEboJfX83ftr4VHJvFQVR4F2NPdK5BjfKlOJ2SwWtL95odR0RERERE5G9pSfDjWPisJyQdBcu1ylML+FeG0LaFFs+eVHjnoagOrvZPnm6uvH5HIwDm/XGUDYfOmJxIREqSgXUHMrThUAbWHWh2FBEREXE2+5fBrNaw5RPAgCb3we0R2EYwv3xK5L9u93odXFwLN6edaDqx6yhq04ldzYsLd/K/TbFUL1eKpU93wMu9aL5YRUTEXFVmVOF48nEq+1Xm2Jh8XosnIiLyTynx8NNzsHuB7XaZMOj3DlTvbLt91Xm8K9uKbieaSgwKViu6FVImMdFzveqyYs8pDp++wKxVBxnTo47ZkUREREREpCQxDIj8Hyx/EdLO27qVtxkFnV8AD5+/twvvD3X72kYvTzllu6Y7tG2RPdN9iQrvEiDA250p/evz5Fd/8sGaQ9zWuBK1K/iZHUtEREREREqCs4fh+9EQvcZ2u2Ij6P8eVGpy9e1dXKFa8RqcVdd4lxC9G1Ske70gMrMNnv9uB1arrjAQEREREREHys6C39+FWW1tRbebF9z6Cjy2Ku+iu5jSGe8SwmKx8MrtDdhwaA1/xp7nq82x3N861OxYIlKM9f+6PwmpCZT3Kc+SIUvMjiMiIiKFKW47LPmX7V+Aah3htpkQWMPUWGbRGe88FIdRzS9XqbQ343raru9+86d9nExMMzmRiBRnf8b9ycZjG/kz7k+zo4iIiEhhybwIKybBx11sRbdXAPR/Hx5YUmKLblDhnaeRI0eyZ88etmzZYnYUu7q/TRiNQ0qTnJ7FpCW7zI4jIiIiIiLFxeE1MKsN/D4TjGyoPxBGboFm94Pl8inCShZNJ3YdxWE6scvtjUui33u/kWU1+PC+5vRqUNHsSCIiIiIiUlRdPAc/vwTbvrTd9qsEfadD3T7m5nKwgtSKOuNdAtUL9md4x+oATFqyi+S0TJMTiYiIiIhIkWMYsHsRvN/q76K75aMwclOxL7oLSoV3CfVUt1qEBvpwKimdN5ftNzuOiIiIiIgUJYnHYe698O2DcCEeytWGh5bZznR7FY+ewvakwruE8nJ35bWBDQH4ctMRth45a3IiERERERFxelYrbPkUIm6B/UvBxR06PQcjfoPQNmanc1qaTiwPERERREREkJ2dbXYUh2lXsxx3Nq/C/K3HeGHBTn74Vwc83PRdjIjYx5zIOVzIuEApj1IMazLM7DhiB1NWTyExPZEAzwAmdZ5kdhwRESlsCVHw/VMQu8F2u3IL6P8eVAg3N1cRoMHVrqM4Dq72T+cuZNBtxhrOXshgbI/ajOpay+xIIlJMVJlRhePJx6nsV5ljY46ZHUfsQG0qIlJCZWXYRipf+xZkZ4B7Keg+yXY9t4ur2elMo8HVJN/KlPLg5dts31C9++tBDiekmJxIREREREScxtEt8FFHWPWqreiueSuM3Ai3PF6ii+6CUldz4fYmlViw7ThroxJ4YcFO5g5vjaWEz7MnIjfv3d7vkpqZio+7j9lRREREpKDSU+DXf8OmjwADfAKh95vQ4I4SPyf3jVDhLVgsFl4d0IBb317DpuizfPvHMe5qGWJ2LBEp4gbVG2R2BBEREbkRB1bAD89A4lHb7cZDoMerUCrQ3FxFmLqaCwAhZX0Yc2ttAF5dupeE5HSTE4mIiIiISKG6cBq+exS+utNWdJeuCvctgIEfqui+SSq8JcfD7aoRHuxP4sVMXvlhj9lxRERERESkMBgGbJ8L77eEnd+CxQXajIInN0LNbmanKxZUeEsON1cX3rijES4W+H77CVbtizc7kogUYcnpySSlJ5Gcnmx2FBEREcnLuSPw5SBY+DhcPAsVGsCjK6Hnq+BRyux0xYYK7zxEREQQHh5Oy5YtzY5SqBpWCeDhdtUAeGnRLi6kZ5mcSESKqnoR9Qh4PYB6EfXMjiIiIiKXs2bDhgiY1RoO/QquntDtZRi+Gio3NztdsaPCOw8jR45kz549bNmyxewohe6ZW2tTubQ3x89f5O0VUWbHERERERERezq5Cz7tDstfhMxUCG0PT6yHDs+Cq7vZ6YoljWouVyjl6cZ/BjTgoTlb+Oz3aPo3qUSjKqXNjiUiRUynsE6cTj1NOZ9yZkcRO1GbiogUcZlpsPZN+P0dsGaBZwD0eAWaPgAuOifrSBbDMAyzQzizpKQkAgICSExMxN/f3+w4hepfX2/j++0nCA/2Z8modri56s0oIiIiIlIkxfwG3z8NZw7abtfrB73fAv9gc3MVYQWpFVVJSZ5evi2cAG939sQl8dnv0WbHERERERGRgrp43lZwz+lrK7p9K8JdX8DdX6roLkQqvCVP5f08mdDHNijSjBVRxJ5JNTmRiIiIiIjk297vIeIW2DrHdrv5MBi5CcL7m5mqRFLhLdc0uEUVWlcvS1qmlQmLdqIrE0REREREnFxSHMy7z/aTchLK1oBhP0K/d8C7tNnpSiQV3nJNFouF1wY2xMPNhXUHTrM48oTZkUSkiHho8UP0/7o/Dy1+yOwoYiddP+9K/Vn16fp5V7OjiIjI1VittrPbEbfYzna7uNlGKn9iPYS1NztdiaZRzeW6qpf35amuNZn2cxSv/LCHTrXLU6aUh9mxRMTJrTi0guPJx6nsV9nsKGInUWeiOJ58nMS0RLOjiIjI5U4ftF3LfeQ32+1KTaH/e1Cxobm5BNAZb8mn4R1rULuCL2cvZPCfH/eaHUdERERERACyM2HddPigra3odveBnq/Bo7+o6HYiOuOdh4iICCIiIsjOzjY7ilPwcHNh6qBG3Pnher778xiDmlWmXU3N4yoieds+YjtWw4qLRd/xioiIOMTxrbDkKTi1y3a7Rle47W0oE2ZqLLmS/hrKw8iRI9mzZw9btmwxO4rTaB5ahvtbhwLw4sKdpGXqSwkRyVugTyDlS5Un0CfQ7CgiIiLFS8YFWD4BPu1uK7q9y8DAj+C+BSq6nZQKbymQcT3rUNHfiyNnUnn3lwNmxxERERERKVkO/gKzWsOG98GwQsPBMHILNL4HLBaz00keVHhLgfh5uTPl9voAfLz2MHvjkkxOJCIiIiJSAqSehYUj4MtBcD4W/KvAvd/CHZ+Cb3mz08l1qPCWAutZvyI961cgy2rw/IKdZFs1t7eIXOmHqB/4dve3/BD1g9lRREREii7DgJ3z4f2WsP1rwAK3jICRG6F2D7PTST5pcDW5IVP6N2D9wTNsP3qeLzbEMKxdNbMjiYiTGfHDiJzpxI6NOWZ2HBERkaLn/FH4cQwc+Nl2u3w92xRhIS3NzSUFpjPeckMqBngxvnddAN5avp8T5y+anEhEREREpJiwZsOmjyDiFlvR7eoBXSbA42tVdBdROuMtN2xoq6os2nacrUfO8fLiXXzyQAssGtBBRP7ycqeXSclIwdfD1+woYidqUxGRQhC/F5b8C479NbtSSGvo/y6Ur2NuLrkpFsMwdIHuNSQlJREQEEBiYiL+/v5mx3E6UaeS6fvuOjKzDWYNbUafhsFmRxIRERERKXqy0mHddFg3A6yZ4OEHt06G5g+DizoqO6OC1IpqQbkptSv48USnGgBMWrKbxIuZJicSERERESliYjfCh+1hzRu2ortOHxi5CVo+qqK7mFAryk17sktNqpcrRUJyOq//tM/sOCIiIiIiRUNaEvz4LHzWE05HQakgGDwH7vkfBFQ2O53YkQpvuWle7q68NqghAF9vjmVz9FmTE4mIiCPEJcdxLOkYcclxZkcRESn69i21DZ625VPb7ab32c5y1x8IGjep2FHhLXbRunog97QMAeCFBTtIz8o2OZGImK36O9Xx/I8n1d+pbnYUsZOWn7Qk5O0QWn6iEXVFRG5YSjx8OwzmDoHkE1CmGjywGG6PAJ+yZqcTB1HhLXbzQu96lPP15FDCBT5YfcjsOCJisozsjJwfERGREs8wYNuX8H5L2L0QLK7Q7ml4Yj1U72x2OnEwFd5iNwE+7kzqFw7ArFWHOBifbHIiETFTg6AGNK3YlAZBDcyOIiIiYq6zh+H/+sPikZB2Hio2gsd+hVtfAQ8fs9NJIdA83nmIiIggIiKC7Gx1mS6I2xoFs+DPY6zan8ALC3Yyb3gbXFx0jYpISbTsvmVmRxARETFXdhZsjIBVr0FWGrh5QZcXofVIcFUpVpLojHceRo4cyZ49e9iyZYvZUYoUi8XCvwc0wMfDlS0x55i75ajZkURERERECt+JSPikC6x42VZ0V+sET26wdS9X0V3iqPAWu6tSxodne9QBYOpPe4lPSjM5kYiIiIhIIclIhZ8nwidd4eQO8CptGzjtgcVQVgOOllQqvMUhhrUNo1GVAJLTspj8/W6z44iIiIiION7hNfBBW1j/LhjZtqnBRm62TRWmKcJKNBXe4hCuLhamDmqIq4uFpTtPsmLPKbMjiUghG/fzOB5d8ijjfh5ndhQRERHHSj1rGzjt//rDuWjwrwxD5sLgOeBXwex04gRUeIvD1K8UwKMdqgHw8uJdpKRnmZxIRArT17u+5r/b/svXu742O4qIiIhjGAbsWgARrWxThQG0fAye3Ah1epubTZyKCm9xqNHdahNS1pu4xDSmLd9vdhwREREREftIPA5fD4H5D8GFBChXBx5eDn2ngZe/2enEyWg4PXEobw9XXhvYkPv/u5nPN8Rwe5NKNK1axuxYIlIIfnngF7KsWbi56KOmuFCbiogAViv88V9YOQUyksHFHTo8Cx3GgJun2enESVkMwzDMDuHMkpKSCAgIIDExEX9/fXN1o8bMi2TBtuPUrejH9/9qj7urOluIiIiISBGTsB+WPAVHN9puV2kJ/d+DoHrm5hJTFKRWVPUjhWJC33qU8XFn38lkPll32Ow4IiIiIiL5l5UBq9+AD9vbim4PX+j9lq1ruYpuyQcV3lIoAn09ealvOADvrDxAzOkLJicSEREREcmHo5vho46w+jXIzoBaPWyDp90yHFxczU4nRYQu0pJCM6hZZRZuO85vB0/z4sKdfPXoLVg0n6FIsbXh6AbSs9PxdPWkTUgbs+OIHfxv5/9IzUzFx92Hexvea3YcERHHSk+GX/7N/7N33/E1nv8fx18nO5FBjMTeKwRFtKjWqtGWohS1KdXy67fV/dVWdU9fHdGWIlbNmq0arRqtvSmliCJihgzZOef3x03aICRxkvskeT8fDw8559znPu84wvnc13V9LrZOBGzgVQI6fgh1H9We3JJtWuN9G1rjbV9/X7xCu/+tJynVyic96tO9UTmzI4lILik3rhwRsRGU9SnLqVGnzI4jdqD3VEQKjcOr4IfnIObqv3X1H4f274KXv7m5xKFojbc4rIrFi/Bs2xoAvPPjAS7GJZmcSERERETkqrjzsGAIfNfDKLqLVoB+i6DrVyq65Y5oqrnkuSdaVGbJ7gj+PBPL2z8cYHyvu8yOJCK5YETICGKSYvB112whERFxcDYb7JkDK1+FhEtgcYJ7noZW/wW3ImankwJAhbfkOVdnJz54tB5dJ/zO4t2n6dqwHPfXKGl2LBGxs1dbvGp2BBERkdu7dByWPQvHfjVuBwRD58+hbEMzU0kBo6nmYooG5YsysFklAEYv2kd8cqq5gURERESkcElLhY1fwoSmRtHt7A5txsCwX1V0i92p8BbTPN+uJmX8PDh1KYHPfv7L7DgiIiIiUlic2QeT28Kq0ZASDxXvhac2QotR4OxqdjopgApF4d21a1eKFStG9+7dzY4i/+Lt7sJbj9QF4NvfwtkfEW1yIhEREREp0FIS4OexMLElnN4F7n7Q6XMYsAxKVDM7nRRghaLwfuaZZ5g+fbrZMeQm2gYF8FBwadKsNl5duI/UNKvZkUTEThpPbEy5ceVoPLGx2VFEsseaBuEbYN8C43drmtmJRMQejv8GXzWH38aBNRVqd4aRW6HRAHAqFGWRmKhQNFdr1aoVa9euNTuGZGJM5yDW/3WefRHRhG08zhMtqpgdSUTs4EzcGSJiI8yOIZI9B5bCipch5vQ/9/mWgQ4fQlBn83KJSM4lXIbVb8DOacZt70B46BOo3cnUWFK4mH5pZ/369XTq1IkyZcpgsVhYvHjxDcdMmDCBypUr4+HhQaNGjdiwYUPeB5VcU8rHg/8+WBuAT1cd5mRUvMmJRMQeAr0DKetTlkDvQLOjiJ0U+Pf0wFKY1z9j0Q0QE2ncf2CpOblEJOcOLIXQu/8puhsNghFbVHRLnjN9xPvKlSvUr1+fQYMG8eijj97w+Ny5c3n22WeZMGECzZs355tvvqFjx44cOHCAChUqANCoUSOSkpJueO6qVasoU6ZMrn8Pcud6Ni7Pop0RbD0exetL9jN1YAgWi8XsWCJyB7YP2252BLGzAv2eWtOMkW5sN3nQBlhgxStQ6yFwcs7jcCKSKWsa/L0R4s6CdwBUbGb8jMZEwvIX4M8fjOOKVzPWcldqbm5eKbRML7w7duxIx44dM3183LhxDBkyhCeeeAKA8ePHs3LlSr766ivef/99AHbs2GG3PElJSRmK+JiYGLudWzLn5GThvW7BPPjZBtYeOs+yvZF0rq+LJiIikkf+3njjSHcGNoiJMI6r3CLPYonILWS2NKR6e9j/PSTFgJMLNH8W7nsRXD1Miypi+lTzW0lOTmbHjh20a9cuw/3t2rVj48aNufKa77//Pn5+fum/ypcvnyuvIzeqVsqbEa2MbpJvLfuDy/HJJicSEZFCI+6sfY8TkdyV6dKQ07BjqlF0l2kIw9ZBm9dVdIvpHLrwvnDhAmlpaQQEBGS4PyAggDNnzmT5PO3bt6dHjx4sX76ccuXKsW3btkyPffXVV4mOjk7/dfLkyRznl+wb3rIK1Up5cyEumfeWHzQ7joiIFBbeAbc/JjvHiUjuueXSkKs8/GDwSgism2exRG7F9KnmWXH9Wl+bzZat9b8rV67M8rHu7u64u7tn+XixL3cXZ97vFkyPrzcxb/sputxVlmZVS5gdS0Ry4P0N7xOTFIOvuy+vtnjV7DhiB08ue5KoxCj8Pfz5ptM3ZsexL4szYOGWH+QtzsaHeREx122XhgCJ0XByi5aGiMNw6BHvEiVK4OzsfMPo9rlz524YBZeCI6SSP33uNhrnjV60n8QU7Z8qkh+Fbgvlg98/IHRbqNlRxE5+/OtHFhxYwI9//Wh2FPv6YzHM6MI/RXcmF/dtaTClAxxYkje5ROTmtDRE8iGHLrzd3Nxo1KgRq1evznD/6tWradasWa6+dmhoKEFBQYSEhOTq68jNvdShFqV83Am/cIXQX4+YHUdERAoimw02fgHzB0JaEtToCN2+Bd/SGY/zLQtdvoLK90PKFWNd6Zp3wWo1JbZIoVekZNaO09IQcSCmTzWPi4vjyJF/Cqvw8HB2796Nv78/FSpUYNSoUfTr14/GjRvTtGlTJk6cyIkTJxg+fHiu5hoxYgQjRowgJiYGPz9NK8trfp6ujO1ch6dm7eSrtUd5uF4Zagb6mB1LRLJhfo/5JKUl4e6s5TvigKxp8NPLsG2ScTtkKHT80NiGqG63m29PFPwYrH4DNofC+o/g7H7o+g14+Jr7vYgUJvFR8PtntznIYnQ3r5i7A3Ui2WF64b19+3ZatWqVfnvUqFEADBgwgLCwMHr27MnFixd56623iIyMpG7duixfvpyKFSuaFVnySIe6gbStHcDPB8/yysK9fD+8GU5O2ttbJL9oWr6p2RFEbi75CiwYAod/Mm63eweajoRr/WOcnG++LtTZBTq8B4HBsOw/cGg5fNsWes+G4lXzLr9IYRW5B+b2hcsnwMkNrMnc2Jvh6s9xhw+Mn2URB2Gx2Wy36CIi10a8o6Oj8fXVFe28FhmdQNtP13ElOY23H6lDv6aVzI4kIlJolRtXjojYCMr6lOXUqFNmx8mZ2LMwuyec3gXO7tBtItTpkv3znNoBc/tAbKTRcO3RKVC9rd3jishVu7+DH56D1EQoVgl6zoSo8Jvs413WKLqDOpsWVQqP7NSKDr3G20xa4+0YSvt58lKHWgB8uOIQZ6ITTU4kIiL51vlDxgj16V3g6Q8DluWs6AYo1wiGrYVyTYzuyd/1MKa/ajxDxL5Sk4yCe/FTRtFdvb3xsxcYbBTXz+6HAT/Ao5ON35/dp6JbHJJGvG9DI97mS7PaePSrjew+eZl2QQFM7N/Y7EgikgWHLhwi1ZqKi5MLNUvUNDuO2EG+HvEO32CMUCdGg38V6LPAPtPDU5Pgx+dh1wzjdt3u0PkLcPO683OLFHbREUYzw4jtgAVavgr3vQhOGjsUx6ARbylQnJ0sfPBoMC5OFlYdOMuK/Wdu/yQRMV2b6W2o+1Vd2kxvY3YUKez2zIUZXY2iu1wTGPKz/dZku7gbhfaDn4CTC+xfAFPaw+WT9jm/SGEVvh6+uc8ouj2KQp/50PJlFd2Sb+lvruQLtQJ9efL+KgCMWbqfmMQUkxOJiIjDs9lg3cewaBhYUyDoERiwFIoUt+/rWCzQZCj0WwxexeHMXpjYEo7/bt/XESkMbDZj2cb0RyD+gjGlfNhaqP6A2clE7ojpXc1Fsur/Wlfnx72RHL8Yz8crDvF2l7pmRxKRW+hdtzeXEi9RzKOY2VHETvLVe5qWYqwLvTYFvNn/Qdu3cne0rHILo0CY8zic2QfTOxtblDUe8k/HdBHJXFIsLH4aDi41btfvDQ+N09INKRC0xjsToaGhhIaGkpaWxuHDh7XG20FsPHKBx7/dgsUCC4Y3pVFFf7MjiYiIo0mMgfkD4egvYHGCjh8ZI9J5JTkeloyAPxYatxsOMKaiu7jlXQaR/Ob8YaMPw4XD4OQKHT/QRStxeNlZ463C+zbUXM3xvDh/D/N3nKJ6KW9+fKYFbi5aMSEiIldFR8B3j8HZ/eDqBd2nQM2OeZ/DZoPfx8PPYwEblL8bHpsBPgF5n0XE0R1YYox0J8eBTxl4bDqU185C4vjUXE0KtP8+WJviRdz461wc36w7anYcERFxFGf2G9uFnd0PRUrBwB/NKbrBGKW79zl4fB64+8HJLca674id5uQRcURpqbDqdaNzeXIcVGoBT65T0S0FkgpvyXeKFXHjjU5BAHyx5ghHz8eZnEhEREx35BeY0gFiT0OJmvDEz1C2odmpoEY7GLoGStQwsk3pAHvmmJ1KxHxx52FGF9j4uXG72f8ZDQq9S5mZSiTXqPCWfKlz/TLcV6MkyWlWXl24D6tVKyZEHE2HmR1o+E1DOszsYHYUsZNaX9bC931fan1Zy+woGe2cAbN6QHKsMWI2ZCUUq2h2qn+UqGZcCKjRAdKSYNGTsHK0MdonUhid2g4T74fjG8DNG3pMg3bvgLP6PkvBpcI7E6GhoQQFBRESoqkujshisfBul7p4ujqzNTyK+Tu0X6qIo9l/bj+7zuxi/7n9ZkcRO4lLjiM2OZa4ZAeZaWSzwS9vw9KRYEuDej2h7/fg6YBd1z38oNdsaPGCcXvTlzCrO8RHmZtLJC/ZbLB9CkztCDERULy6MSOkThezk4nkOhXemRgxYgQHDhxg27ZtZkeRTJT392LUAzUAePfHg5yPTTI5kYj8m5uzW/ovEbtLTYKFw2DDJ8bt+16Ert+Ai7u5uW7FyQnavA49wozGb8d+hUmt4OwBs5OJ5L6UBKPb/w/PQVoy1O5kFN0la5qdTCRPqPCWfG1Q80rUKeNLTGIqY5f9YXYcEfmXY/85RtJrSRz7zzGzo0hBk3AJZj4K++aBxRk6fwGtX8s/2w7V6QpDVkHRCnDpuNEQ7uAys1OJ5J5Lx2FyO9g9y9jir+1Yo8u/h3YMksJDhbfkay7OTnzQrR5OFvhhbyRr/jxrdiQREclNl/6Gye2vrg31gT7zoWF/s1NlX2AwDF1rrElPuQJz+8Kv74PVanYyEfs68jN8cz+c2QtexY0Gavc+m38ulInYiQpvyfeCy/kx5N7KALy++A+uJKlZjYhIgRSx0xgdvnDI2Ot38E9QrY3ZqXKuSHHotwjufsq4ve4DmNcPkmLNzSViD1YrrPsYZnaHxMtQthE8uR6q3G92MhFTqPCWAuG5B2pQtqgnEZcTGLf6sNlxRETE3g79BGEPwZVzEFDX6BIeGGx2qjvn7AodP4BHJoCzG/z5g3Fx4eJRs5OJ5FzCZZjTG359B7BBo0Ew6CfwK2d2MhHTqPCWAsHLzYV3utYFYOrv4ew5edncQCLCxB0TGbdpHBN3TDQ7iuR3WyfBnMchJR6qtr76Ab6s2ans664+xvflHQjn/zSarh352exUItl3Zj9MbAmHV4CzOzwSCp3GO3bjQ5E8oMI7E9pOLP9pVbMUneuXwWqDVxbuIyVN6+REzPTWurd4ftXzvLXuLbOjSH5ltRr7XS9/AWxWuKsfPD6v4DZkKtcYhq2FciGQGG3sTf7758YWTCL5wd55xoyNS+HgV8FoInhXX7NTiTgEFd6Z0HZi+dMbnYLw83TlYGQMU34LNzuOiIjkVEoCLBho7HcNRtfyzl8YU7MLMt/SMPBHo1ixWWH168a2aSkJZicTyVxqMix/CRYOhdQEqNoGnlwHZRqYnUzEYbiYHUDEnkp4uzP6odq8tGAv//v5MB3rlqZCcS+zY4kUSl8//DUJKQl4unqaHUXsJM/e0ysXYHZvOLUVnFyhywSo91juvqYjcXGHzl9CYH1Y8YqxbdqFw9BrltbIiuOJiYT5A+HkZuP2fS9Cy1fBydnUWCKOxmKzaf7SrcTExODn50d0dDS+vgV0alsBY7PZeHzSFjYdu0iL6iWYPrgJFm1ZISKSP1w8CrO6Q9Qx8PCDnrOgcguzU5knfD3MGwAJUVCkpLH3ccWmZqcSMfy90Si6486Cuy90/QZqPWh2KpE8k51aUVPNpcCxWCy81y0YNxcnNvx1gcW7I8yOJCIiWXFii7E+NOoYFK0AQ1YX7qIboPJ9xrrvgLpw5TxM6wTbp5idSgo7mw02TYCwh42iu1SQ8fdURbdIplR4S4FUuUQR/tOmOgBv/3CQqCvJJicSEZFb+mORUVQmREGZu2DIz1CyptmpHEOxikaTqqAuYE2BH54zfqXq/zYxQfIV+P4JWPkq2NIguIexvV/xqmYnE3FoKrylwBraogo1A3yIupLMOz8eMDuOSKFzMf4i56+c52L8RbOjiJ3sOL2DTSc3seP0Dvud1GYzOnfPHwhpSVCjo9FczCfAfq9RELgVgR5h0OYNwGKMek/vDHHnzE4mhcnFo8aslP0LwMkFOnwI3SYZfz9F5Ja0xvs2tMY7f9t54hKPfrURmw1mDrmbe6uXMDuSSKFRblw5ImIjKOtTllOjTpkdR+zA7u9pWiqseBm2fWvcbjIMOnygpky3c3ilMeKYFAO+ZY2ma2XuMjuVFHR//giLhht/77wDoMc09RuQQk9rvO1A+3gXDA0rFKP/PRUB+O+ifSQkp5mcSEREAGO66tw+V4tuC7R7Fzp+pKI7K2q0h6FroHh1iImAKR2M/ZNFcoM1DX55C+Y8bhTdFZrCk+tVdItkkwrvTGgf74LjhfY1CfT14ERUPJ+v+cvsOCKFxgNVH6BTjU48UPUBs6OIo4k9C1MfhMMrwMUDHpsGzUaCdqDIuhLVYegvUL09pCYa+yeves0okkTsJT7K2GVgw6fG7bufggHLwCfQ3Fwi+ZCmmt+GppoXDKv+OMOwGTtwdrKwbOS9BJXReykikl12mWp+7k+Y1QOiT4BXceg9B8o3sW/QwsSaBr+++09hVLU1dJ8CnsXMzSX53+ldMLe/8bPq6gWdPod6PcxOJeJQNNVc5Drt6gTSoU4gaVYbry7cS5pV15tERPJc+AaY3M74IO9fxdguTEX3nXFyNhqudZ9qFEdH18DEVnDuoNnJJD/bOR0mt//nZ/WJn1V0i9whFd5SaIx9pA4+7i7sORXN9E3HzY4jIlK47JkLM7pCUjSUv9vYLkzbD9lP3W4weCX4VYBL4Ubn6T9/NDuV5DepSbD0GVj6f//sMjD0VwioY3YykXxPhbcUGgG+HrzcsRYAH688RMTlBJMTiYgUAjYbrPsYFg0z9qAOegT6L4Eixc1OVvCUrgfDfoVKLSA5zmiGtfZDsFrNTib5weWTRqO+ndMAC7R+DXp9B55FzU4mUiCo8JZC5fEmFWhUsRjxyWm8sXg/anEgknv6LOxD+5nt6bOwj9lRxCxpKcbI2a/vGLeb/R90DwNXT1NjFWhFSkC/RdDkSeP22vdgXj9IijU3lzi2Y2th4v1weqfRH6DvArjvRXBSqSBiL/ppkkLFycnCB92CcXW28Muf51i+74zZkUQKrHXH17Hq6CrWHV9ndhQxQ2IMfPcY7JoBFid48BNo944+yOcFZ1d48CPo/CU4u8GfP8C3D0DUMbOTiaOx2WDDOGMZSPxFKF0fhq2Dam3NTiZS4Oh/Pyl0qgf48FTLagCMWfoH0fEpJicSESlgoiNgakej0ZerlzFdtclQs1MVPg37wcAfwTsQzh80mq4d/dXsVOIoEmNgbl/4ZSzYrNCgr9EnoFhFs5OJFEjaTuw2tJ1YwZSYksaDn2/g2Pkr9G5Sgfe7BZsdSaTAiU2KxYYNCxZ83H3MjiN2kKX39Mw+mPUYxJ6GIqXg8blQtmHeBpWMYiKNAitiuzH7oN07cM/T2je9MDv3J8ztAxePGLMiOn4EjQbq74RINmk7MTsIDQ0lKCiIkJAQs6NILvBwdeb9rkaxPXvrCbYcu2hyIpGCx8fdB193XxXdBcht39MjP8OUjkbRXaKmsQWRim7z+ZY2Rr4b9DFGNlf+FxYNhxQ1GS2U9i+ESa2Notu3LAxaAY0HqegWyWUa8b4NjXgXbK8u3MvsrSepUrIIP/2nBe4uzmZHEhHJn3ZOh2XPgi3N6Krdc4bRpEkch80GW74xCm9bGpS5C3rOAr+yZieTvJCWCj+PgU1fGrcr32fs/16khLm5RPIxjXiLZNErHWpTwtudY+evMOHXo2bHERHJf2w2+OVto3u5LQ3q9YS+36vodkQWC9wz3Oh67lkMTu+CiS3hxGazk0luizsH0x/5p+hu/iz0XaSiWyQPacT7NjTiXfD9sPc0I7/bhauzheXPtKB6gKbFitjDwoMLiU+Jx8vVi261u5kdR+xg3KZxxCTF4Ovuy6imoyA1CZaMgH3zjQPuexFajdaU1fzg0nGY0wfO7gcnV3joE2ONrxQ8J7fCvP4QGwlu3tDlKwjqbHYqkQIhO7WiCu/bcPjC25oGf2+EuLPgHQAVm4GTpktnh81mY8i07az58xyNKxZj3pNNcXLSh0aRO1VuXDkiYiMo61OWU6NOmR1H7CDDe/rUPpjTF/7+DZxc4OHxRhdtyT+S4mDJ03BgiXG78RDo8AG4uJmbS+zDZoNt38KKV8GaYvRd6DkTStYwO5lIgaGp5oXFgaUwvi5Mexi+H2L8Pr6ucb9kmcVi4e0udfFyc2b735eYve2E2ZFERBybNQ0mtzOKbjcfeHyeiu78yN0bekyD1q8BFtg+GWZ0gbjzZieTO5UcbzTQW/6CUXQHdYGhv6joFjGRCu/86sBSY9pQzOmM98dEGver+M6WskU9eaFdTQA+WP4nZ2MSTU4kkv+90/odvuz4Je+0fsfsKGJv8efhwmHwKQODV0C1NmYnkpyyWIwlAr1nGxdR/v7dWPd9erfZySSnosKNC2N754DF2dg+rkcYaIcJEVNpqvltOORUc2uaMbJ9fdGdzgK+ZeDZfZp2ng1pVhtdJ/zO3lPRdKwbyFd9G5kdSUTEoZT7qAQRCRcpa7NwKqAZ9Jln/H8jBcP5QzC7N0QdBRdPeORLCO5udirJjsOrYOETkBgNXiWMgrtyC7NTiRRYmmpe0P298RZFN4ANYiKM4yTLnJ0sfNCtHs5OFn7af4ZVf5wxO5KIiOPYMhESooyvXdxh0HIV3QVNyZowdA1UewBSE4xlbKvfMC74i2OzWuHX9+G7x4yiu1wIPLleRbeIA1HhnR/FnbXvcZIuqIwvQ1tUAeCNJX8Qm5hiciIREZNZrbByNPz0IlybI+dVHDwcZBaY2JdnUXh8Ltz7nHH798+MYi7hkqmx5Bbio2B2T1j3AWCDkCdg4I/an13Ewajwzo+8A+x7nGTwnzbVqeDvxZmYRD5dddjsOCIi5klJgPkD/tn7V8V24eDkDG3fhEcnG1POj/wMk9oYU9HFsUTuNdbk/7UKXDygy9fw0KfGrBQRcSgqvPOjis2uTu+7xZZXvmWN4yTbPN2cebdrXQCmbTrOzhO6yi+SE+XGlcMy1kK5ceXMjiI5ceUCTOsMB5eCsxt0+9bYA1gKj+DuMGQl+JU31n1PagOHfjI7lVyzZw5MfgAu/w1FK8KQ1dCgt9mpRCQTKrzzIydn6PDh1RuZFN9l7gKL3t6calG9JN3uKovNBq9+v4+UNKvZkURE8s7Fo/BtWzi1FTz8oN8iqNfD7FRihtL1YdhaqNgckmON5mvrPjb2iBZzpCbDj8/DoichNdFYkz9sLZSuZ3YyEbkFVWb5VVBneGw6+JbOeL9HUeP3P3+A9R/neayC5LWHgyjm5cqhs7FMXH/M7Dgi+U7D0g25p9w9NCzd0Owokh0nNhtF96VwKFrBGEWrdC+g97TQKlIC+i+BkKGADX59x9i6NCnO7GSFT8xpCHsQtn1r3L7/FXh8Hnj5m5tLRG5L24llIjQ0lNDQUNLS0jh8+LBjbSf2b9Y0o3t53FljTXfFZrDlG1j5qvH4A29D82fMzZiPLdx5ilHz9uDm4sTKZ++jcokiZkcSEck9fyyChU9CWpIxc+rxeeBdyuxU4kh2TDNGW60pUKoO9JoF/pXNTlU4HP8N5g+EK+eNmSjdJkGN9manEinUsrOdmArv23DIfbyzYv0nsOZt4+sHP4EmQ83Nk0/ZbDb6T9nKhr8u0KxqcWY9cTcWyy3W1ouI5Ec2G2z83Ng6CqBGR+g+Gdx0sVFu4sQWmNsXrpwDz2LGXtFVWpqdquCy2WBTqPHzaUuDgLrQcwb4VzE7mUihp328Be57AVq8YHy9/AXYOcPcPPmUxWLh3S7BeLg6sfHoRRbsOGV2JBER+0pLNUYwrxXdTYYZo5gquiUzFe421hSXaWhsMzajG2yaoHXfuSEpDhYMglWjjaK7Xk9j+YeKbpF8R4V3Qdb6NbhnhPH10v+DfQvMzZNPVSjuxbNtawDw7vKDXIhLMjmRiIidJMXBnMdh+2TAAu3ehY4fGU08RW7FrywM+gnq9zYKwpWvwuKnISXR7GQFx4W/YFJrYwmIk4sxg7HrN+DmZXYyEckBFd4FmcUC7d+FxoMBGywcBgeWmp0qXxpyb2Vql/blcnwKb/9wwOw4IvnC/y3/P/ou7Mv/Lf8/s6PIzcSeNZo0/bXS2P/3sWnQbKTxf0cmOs/uTNPJTek8u3MeBhWH5eoBXb6C9u+DxRn2fGf8nYo5bXay/O/gMpjYCi4cAp/SMHC5sWxQy91E8i0V3gWdxQIPfgr1HzeuSC8YDIdXmZ0q33F1duKDbsE4WWDJ7tOsPXTO7EgiDm/Rn4uYtW8Wi/5cZHYUud65P43O5ZF7wKs4DFgGQY/c9mk7I3ey+dRmdkbuzIOQki9YLND0aei30FjvHbEDJraEk1vNTpY/paXCz28aa+iTY41t3IatM6b3i0i+psK7MHBygke+hDrdjC6kc/vCsbVmp8p36pcvysBmRufW1xbvJz451eREIiI5EL4eJreD6BPGOtEhq6F8E7NTSX5XpSUM/RVKBRk7rYQ9BDunm50qf7lyAWZ2g9/+Z9xuOtLYxs0nwNxcImIXKrwLCydn6DYRaj5kbBMzu7exV6tky/PtalC2qCenLiUw/ue/zI4j4tA2DNrAX//3FxsGbTA7ilyzZ67RCCspGsrfDUN+huJVzU4lBYV/ZeNCTu3OkJZs9JdZ/iKkpZidzPGd2gHf3A/h68C1CHSfYiwXdHY1O5mI2IkK78LE2RV6TIWqrSElHmZ2N6aESZYVcXfh7S51APh2wzH2R0SbnEjEcVUuVplq/tWoXEx7/JrOZoN1H8GiYcbMp6AuxkhakeJmJ5OCxt0bekyDVqON21snwoyuxmiu3NyOMJjaAWJOQfFqMPQXqPuo2alExM5UeBc2Lu7QcxZUamGsHZrRDc7sMztVvtK6VgAP1SuN1QavLNxLaprV7EgiIplLS4GlI+HXd43bzZ6B7lPB1dPcXFJwOTnB/S9Br9ng5gPHNxiNwiL3mp3MsaQkwpKRsOw/xgyBWg/D0DVQqrbZyUQkF6jwLozcvKD3bCjXBBIvw/QucP6Q2anylTGdgvD1cGF/RAxhG4+bHUdE5OYSY2BWD9g1EyxOxnZE7d42CiOR3FbrQXjiZ6OXQPQJo7fA/u/NTuUYLv0NU9rDrhnGz2abMfDYDPDwMzuZiOQS/c9bWLn7QJ/5ULo+xF+AaZ3h4lGzU+UbpXw8+O+DxhXpT1cd5mRUvMmJRBzP2uNrWXlkJWuPrzU7SuEUHQFTOsCxX8HVyxh9bDLU7FRS2JSqZYziVm0DqQnG7io/vwnWNLOTmefILzDxfojcDZ7+0HchtBilC2IiBZx+wgszz6LQb/HVDqRnYPojcPmk2anyjccal6dJZX8SUtJ4bfF+bDab2ZFEHErfhX3pMKsDfRf2NTtK4RO5F75tA+f+AO8AGLQcanYwO5UUVp7FjIv9zZ4xbv/2P/iuJyRcNjVWnrNaYf3HMPNRSLgEZe6CJ9dD1VZmJxORPKDCu7Dz8jca7BSvBtEnYVoniIk0O1W+4ORk4b2uwbg5O7Hu8HmW7jltdiQRETjyM0ztCLGRULKWMdW3zF1mp5LCzsnZWObQ7Vtw8YAjq42LQ+cPm50sbyRGG9u5rnkHsEHD/jBoBRQtb3YyEckjLmYHEAfgXQr6LzU+qF0KN0a+B/4I3iXNTubwqpXyZmTraoxbfZi3lh3g/holKerlZnYsEYcwqukoYpJi8HX3NTtK4bFjGvzwHNjSjCaaPWcas5vsRO+p3LF6PaBEdZjTBy4eMYrvbpMK9oyMswdgbh+IOgbO7vDgx9BogNmpRCSPWWyaH3tLMTEx+Pn5ER0dja9vAf+gcek4TH0QYiIgIBgGLDVGxOWWklOtPPT5Bv46F8djjcvxUff6ZkcSkcLGZoM1b8OGT43b9XpB5y/ARRcCxUHFnYd5/eHERsACrV+DFs+DxWJ2Mvvat8DYzzwlHvzKw2PToWxDs1OJiJ1kp1bUVHP5R7FKxsh3kVJwdp+xBikxxuxUDs/NxYn3uwUDMG/7KTYe1V6lIpKHUpNg4dB/iu77XoKuX6voFsfmXdJY6tZ4CHD1wtH8gZB8xexk9pGWAj+9At8PMYruKi1h2DoV3SKFmApvyahENeM/Qk9/OL0Tvnus4PwnmIsaV/Kn7z0VAPjvwn0kphTibq0iknfio2BGV9g3H5xcoPOX0Hp0wRs1lILJxQ0eHgedPgMnVziw2Nhy7NJxs5PdmdgzRs+cLV8Zt+8dZXQuL1Lc3FwiYioV3nKjgCDotwjc/eDEJpjdG1ISzE7l8F7qUItSPu4cvxjPl2uOmB1HRAq6S8eNfYD//h3crm4R2bBfrr5kbFIsMUkxxCbF5urrSCHTaCAM/OHqjLv9MLEVhK83O1XOnNgM39xvfH5y94Wes6DtGKO5nIgUagW+8D558iQtW7YkKCiIevXqMX/+fLMj5Q9lGkDf78HNG8LXGeuwUpPNTuXQfD1ceeuROgB8ve4of57RNH0p3Op9VY+SH5ek3lf1zI5S8ETsgG/bwoXD4FsWhqyEqq1z/WVrh9bG7wM/aofWzvXXkkKmwj0wbK3RgT8hCqZ3gS3fGP0L8gObDTZ/DWEPGVu0lqwNQ3+F2g+bnUxEHESOu5ofPnyYtWvXcu7cOaxWa4bH3njjjTsOZi8uLi6MHz+eBg0acO7cORo2bMiDDz5IkSJFzI7m+MqHwONzYWZ3+GsVfD8YuoeBs5rhZ6Z9nUAeCApg9YGzvPL9Pr5/qhnOTpryKYVTVEIUF+Iv4O7sbnaUguXPH2HBEEhNMBph9pkHvmXMTiVy5/zKwqCfYNl/YO9c+OklY0/6h8eBiwP/O5J8xci87+rgTp1uRnNDd29zc4mIQ8lRBTVp0iSeeuopSpQoQWBgIJZ/rSWzWCwOVXiXLl2a0qVLA1CqVCn8/f2JiopS4Z1Vle6FXrNgdi84uAwWD4eu32jKVCYsFgtvPVKHTUcvsvvkZWZt+Zv+TSuZHUvEFJWKVsLDxYNA70CzoxQcW76Bn14GbFC1DTw2Ddx9zE4lYj+unsbnjMB6sPp12D0Tzv9pbI3nW9rsdDe6eBTm9oNzf4DFGdq9A/c8pT4LInKDHE01f+edd3j33Xc5c+YMu3fvZteuXem/du7cma1zrV+/nk6dOlGmTBksFguLFy++4ZgJEyZQuXJlPDw8aNSoERs2bMhJbLZv347VaqV8+fI5en6hVa2Nsf2Fk4txNfeHZ+G6WQ7yj9J+nrzUoSYAH604RGS01sdL4fTb4N848swRfhv8m9lR8j+rFVb81xgBxAYN+xszklR0S0FksUCzkcaSN4+iELEdJraEU9vNTpbRoZ+M9ejn/jDWpw9YBk2fVtEtIjeVo8L70qVL9OjRwy4Brly5Qv369fnyyy9v+vjcuXN59tlnGT16NLt27aJFixZ07NiREydOpB/TqFEj6tate8Ov06dPpx9z8eJF+vfvz8SJE+2Su9Cp2REe/RYsTrBzOqx4Of+suzJBn7srcleFosQlpfLGkj+w6c9KRHIqJQHm94fNocbt1q9Dp8/B2dXcXCK5rWprGParsV467gxM7Qi7ZpqdCqxpsOYdYzZgUjSUvxueXA+VmpudTEQcmMWWg4pgyJAhhISEMHz4cPuGsVhYtGgRXbp0Sb/v7rvvpmHDhnz11Vfp99WuXZsuXbrw/vvvZ+m8SUlJPPDAAwwdOpR+/W7d8TUpKYmkpKT02zExMZQvXz5Lm6IXCnvmwKLhgA2aPQMPvKUru5n480wMD3/+G6lWG1/3bUiHug44RU5EHNuVC8aH+1PbwNkNHpkA9exz4Tsnyo0rR0RsBGV9ynJq1CnTckghkxRrfPb48wfjdpMnof275lx8io+C75+Ao79czTIM2r1rbI0mIoVOTEwMfn5+WaoVc7TGu1q1arz++uts3ryZ4OBgXF0z/sP3zDPP5OS0N0hOTmbHjh288sorGe5v164dGzduzNI5bDYbAwcOpHXr1rctugHef/99xo4dm6O8hUL9Xsboyw/PwsbPwa0ItHzltk8rjGoF+jL8/qp8+esR3ljyB82qlcDXQyNUIpJFF47ArO5wKRw8/KDXd0bfDZHCxt0HHpsB6z+Gte/B1m/g3AHoMS1v98Y+vRvm9YPLJ8DF09h/vH7PvHt9EcnXcjTiXbly5cxPaLFw7NixnIW5bsT79OnTlC1blt9//51mzZqlH/fee+8xbdo0Dh06dNtz/vbbb9x3333Uq/fPdjYzZswgODj4psdrxDuLNk2Ala8aX7cdC/c+a2ocR5WYkkbHzzYQfuEKfe+pwDtdbv73TqQgGrt2LNFJ0fi5+zGm5Riz4+QvJzYbI90Jl6BoBeizAErWNDuVRrzFfAd/gEVPQnKc8bPR6zsIzIP/W3fNgh9HQWoiFKtkNHvLi9cVEYeW6yPe4eHhOQqWU5brpjLbbLYb7svMvffee8N2Z7fi7u6Ou7sDb1nhKJo+bWxl88tb8PMYowvp3U+ancrheLg6827Xujw+aQszN5+gS4OyNK7kb3YskTwxaeek9CJNhXc27F9oTKtNSzL2NH58HniXMjuViGOo/TAU/xlm9zZmg0xuB10mQJ2uufN6qUnGTgI7phq3a3SArl+DZ7HceT0RKbBy1Fzt32w2W641jipRogTOzs6cOXMmw/3nzp0jICAgV15TsqHF83DfS8bXP70EO6aZm8dBNatagh6NygHwysJ9JKWmmZxIRBySzQa/fwYLBhlFd80HYeCPKrpFrleqNgxdYzRfS4mH+QONgQB777gSfcpo6LZjKmCBlv+FXrNVdItIjuS48J4+fTrBwcF4enri6elJvXr1mDFjhj2z4ebmRqNGjVi9enWG+1evXp1h6nluCA0NJSgoiJCQkFx9nXyv1X+h6Ujj62X/gb3zzM3joEY/VJviRdw4ci6Ob9blbCmGSH6zpNcSNg7eyJJeS8yO4vjSUuHH52H1G8btJk8aU1ndipib6zp6T8VhePnD4/Oh2f8Ztzd8CnN6Q2K0fc5/bB18cz9E7DC2NOszH1q+DE53PGYlIoVUjtZ4jxs3jtdff52RI0fSvHlzbDYbv//+O6Ghobzzzjs899xzWT5XXFwcR44cAeCuu+5i3LhxtGrVCn9/fypUqMDcuXPp168fX3/9NU2bNmXixIlMmjSJP/74g4oVK2Y3erZlZ95+oWWzGR8Yt08GizP0mApBj5idyuEs2R3Bf+bsxs3ZiZ+ebUHVkt5mRxIRR5AUBwsGw18rAYvRrfke7QUskmV758HS/zPWXxevDr1nQ4nqOTuXzWY0j/35TbBZjXXcj80A/8z7G4lI4ZWdWjHHzdXGjh1L//79M9w/bdo03nzzzWytAV+7di2tWrW64f4BAwYQFhYGwIQJE/joo4+IjIykbt26/O9//+O+++7LbuwcUeGdRVYrLB0Ju2eBkyv0mgU12pudyqHYbDYGTt3GusPnaVLZnzlD78HJSR+sRQq12DPw3WMQuQdcPKDbRF24FMmJ07tgTh+IiQB3X3h0MtRol71zJMbAkqfh4DLjdv3H4eFxRh8bEZGbyPXC28PDg/3791OtWrUM9//1118EBweTmJiY3VM6LBXe2WBNg4VDYf/34OwOj8+FqjdeVCnMTkbF0+5/60lISeODbsH0alLB7EgiYpZzB2FWD4g+CV7FofccKN/E7FQi+VfcOZjXH05sAizQ5g2497mszR45fwjm9oULh40BhI4fQuPBmnkiIreUnVoxRwtVqlWrxrx5N67lnTt3LtWr53Bqj4PRGu8ccHKGrt9ArYeNxkBzHoe/s7bfemFR3t+L59vVAOC95Qc5F1twLlKJXG/f2X3sjNzJvrP7zI7ieMLXw+T2RtHtXxWGrM4XRfcPh39g/h/z+eHwD2ZHEbmRdynov9QomLHBL2ONZRzJ8cbj1jQI3wD7Fhi/W682O/1jMUxqbRTdPmVg0E8QMkRFt4jYVY5GvL///nt69uxJ27Ztad68ORaLhd9++41ffvmFefPm0bVrLm3pYAKNeOdA6tWi+8jP4OYD/ZdAuUZmp3IYqWlWukz4nf0RMTxUrzShjzc0O5JIrtCez5nYMweWjARrCpS/x9iHuEhxs1Nlid5TyTe2T4HlL4I11Vin3XgwrP8YYk7/c4xPGSjTAA4tN25XagHdp4J3SVMii0j+k+sj3o8++ihbtmyhRIkSLF68mIULF1KiRAm2bt1aoIpuySEXd6Mbb6UWkBwLM7tC5F6zUzkMF2cnPuhWD2cnCz/ujeSXg2fNjiQiecFmg3UfwaInjaI7qItxYTKfFN0i+UrjwTDgByhSEs7sgx+ey1h0A8Se/qfobvYM9FusoltEco1LTp/YqFEjZs6cac8sUpC4ehrrFWd0hVNbYUYXGLgcStUyO5lDqFvWjyH3Vmbi+mO8vng/91QpThH3HP84ijikAfUHcDnxMkU9ipodxXxpKbDsWdh99f/NZs9A27HamkgkN1VsCk/8Al80Mi52ZcbTH9q+aSyZExHJJVn+pB8TE5M+fB4TE3PLYzUlWwBw94a+C2BaZ4jcDdM7G+umilc1O5lDeLZtdZbvi+TUpQQ+XXWYNzoFmR1JxK7ebfOu2REcQ2K00fDp2FqwOMGDH0PIE2anEikcLp+4ddENkBBl9KSp3CJvMolIoZTlS+3FihXj3LlzABQtWpRixYrd8Ova/QWBmqvZiYcf9FsEpepA3FmjCL98wuxUDsHLzYV3utQFIGxjOHtOXjY3kIjYX/QpmNLRKLpdixgzgVR0i+SduCwu58rqcSIiOZTlEe81a9bg7+8PwK+//pprgRzFiBEjGDFiRPqCebkDXv7QfzFMfRAu/gXTOhkj375lzE5mupY1S/FIgzIs2X2aVxbuY+nI5rg6a+qpSIEQudfYozs2ErwDjC0Wy9xldiqRwsU7wL7HiYjkUJYL7/vvvz/968qVK1O+fHks122zYLPZOHnypP3SScHhXQoGLIWpHeHScZj+iLHmW01MeP3hINYdPs/ByBgm/xbO8Ps1FV8k3/vrZ5g/AJLjoGQt6DMfilYwO5VI4VOxmXGhPyYSuNlGPhbj8YrN8jqZiBQyORpaq1y5MufPn7/h/qioKCpXrnzHoaSA8i1j7K/pW87YK3NGF4iPMjuV6Up4uzP6wdoAjP/5MH9fvGJyIsktaVYbm45eZMnuCDYdvUiaNdu7OeYrrae1ps6EOrSe1trsKLnnZvsC7wgzRrqT44zdHQavVNEtYhYnZ+jw4dUb1+/LffV2hw/UWE1Ecl2O2ijbbLYbRrsB4uLi8PDwuONQUoAVq/jPyPfZ/TCzm7Gdjkfhns7fvVE5Fu6MYNOxi4xetJ8ZQ5rc9GdM8q8V+yMZu+wAkdGJ6feV9vNgTKcgOtQtbWKy3HP44mEiYiOITow2O0ruOLAUVryccYsiN2+j4Aao1ws6fwEububkExFDUGd4bPqNP6++ZYyiO6izedlEpNDIVuE9atQoACwWC6+//jpeXl7pj6WlpbFlyxYaNGhg14BmCQ0NJTQ0lLS0NLOjFDzFqxoj32EPwuldMKsH9F1odEEvpCwWC+91C6b9+PX8duQC3+84RdliXpyLTaSUjwdNKvvj7KRCPL9asT+Sp2buvGGS45noRJ6auZOv+jYskMW3t5s3Pm4+eLsVwJ/tA0uNTuXXv6vXiu6gLtD1ayhgF9AK9HsqBVtQZ6j1kNG9PO6ssaa7YjONdItInrHYbLYsz3Vs1aoVAOvWraNp06a4uf1zFd/NzY1KlSrxwgsvUL16dfsnNcm15mrR0dHaJs3eIvcYjdYSo6HyffD4PGP/70Is9NcjfLzyEBYL/Psns6CPjOY3NpsNqw1SrVZS02ykWm2kWW2kplnTv05Js5JmtZGYYmVg2FYuxiXf9FwWINDPg99ebq2LK/mFNQ3G1804cnY937Lw7D59qBcRESnAslMrZmvE+1o380GDBvHZZ5+pEJU7U7q+MdI9/REIXw9z+0GvWeDibnYy01Qsbswiuf5yWH4ZGbVajSI01Xq1AE2zkWK1Xi1KrxWoxmP/vp2SlrFY/efxG5+bfqzVSlraja937bZxPtu/zmfN8Hvada/xz7H/5Lv+9r+PtRcbEBmdyNbwKJpWLW6380ou+nvjrYtugJgI7QssIiIi6XK0xnv8+PGkpqbecH9UVBQuLi4qyCXryjU2RrpnPgpHVsOCwdAjDJxdzU6W59KsNt798eBNH7tW5r26cB+JKVZs3FhUXl9g/lNMZix0Mxx7dcTWKGSvHptevGb9vNcK1ALeK+y2nCzg4uyEi5MFZycLrs5OpKRZiU288d/L652LTbztMeIgbld0X6N9gUVEROSqHBXevXr1olOnTjz99NMZ7p83bx5Lly5l+fLldgknhUSl5tB7NnzXE/78ARYNh24TC90Uza3hURkab93MpfgUnp27O28C2ZGrswUXp6sF6b+/drLg6vxPkersZMHFyYLLdV9nPNYJ16u3Xa6e65bHXj1/js97Q16nDLldnJxwcbbgbLHgdJOp4puOXqT3pM23/TMq5aPGlA7PZoNDy+GXt7J2vPYFFhERkatyVHhv2bKFcePG3XB/y5YtGT169B2HkkKoaiuj4+jcPrB/Abh4GN2AnXK0412+lNURz+qlvAn087haCDpdLSIt6bdvXsje5tjrisx/P+/a7cwKZJebFKv/Pu/NitHCpEllf0r7eXAmOvGmO8iCsYa/SWX/PM2VF77c+iWxSbH4uPswsslIs+PcmZPbYPXrcGLT1Tss3HxP4KuPFdB9gV9c9SKXEi9RzKMYH7f72Ow4uSbNamNreJQaXIqIiN3kqPBOSkq66VTzlJQUEhIS7jiUFFI1O8Cjk2HBINg902i09uDHBa4rcGayOuL51iN1tRY4H3F2sjCmUxBPzdyZaanWrWHZAvmh/oPfPiAiNoKyPmXzb+F94Qj8MhYOLjVuu3jAPU9DyZrG7Bwg47tasPcFnr1/dvp7WlAL78K49Z+IiOS+HA0nhoSEMHHixBvu//rrr2nUqNEdh3IEoaGhBAUFERISYnaUwqVOF+jyNWCBbZOMEaasN97P166NjGZWflkouCOjBV2HuqX5qm9DAv0yXlzxdDUKs7Dfj/PH6QK613V+FXcOfnweJtx9tei2wF194f92QtsxUL+XMUvH97pCzLeMcb/2Bc6Xrm39d/2yn2sNLlfsjzQpmYiI5HfZ2k7smt9//522bdsSEhJCmzZtAPjll1/Ytm0bq1atokWLgtPFVduJmWRHGCz7j/H1/S9Dq/+aGievXPvQBzcdQ3P4ruZya9dPX21QvihPTN/G70cuEuDrzqKnm1OmaMHZUm/V0VUkpibi4eJBu6rtzI6TNclXYFMo/P7ZP3tyV28Hbd+EgDo3Hm9NK1T7ApcbVy59xPvUqFNmx7GrNKuNez9ck2mvDW39JyIi18tOrZijwhtg9+7dfPzxx+zevRtPT0/q1avHq6++WqD28AYV3qba/DWseNn4us0YaDHK3Dx5RNMcC5fohBR6fL2Rw2fjqBXow/zhTfHxKHxd/U2Xlgq7ZsDa9//pRl7mLnjgLah8n7nZHEhBLryz2ghx9tB7tNxHRESAXNzH+98aNGjArFmzcvp0kdu7ZzikJsDPbxprLF29jPsKuA51S/NAUKAa+xQSfp6uTB3UhC6hv/PnmVienrWTKQNDcHUuPI0FTXWtU/nPb8KFw8Z9RStCmzegTrdC1eCxsMtqg0tt/SciIjmR48L7moSEBFJSUjLcp5FhsZt7n4OUBFj3oTH67eoBjQaanSrXOTtZNKJSiJQt6snUgSE89s0mNvx1gdcW7eeDR4OxFJLGgqa5vlO5pz/c/xI0Hgwu7uZmkzyX1QaX2vpPRERyIkeX8uPj4xk5ciSlSpXC29ubYsWKZfglYlctX4Vm/2d8vexZ2DPX1DgiuaFuWT++6H0XThaYu/0kE9YeNTvSHYuMjeRUzCkiYx2sIdXFozCvP0xuaxTdLh5w7yj4z2645ykV3YVUk8r+eLtnPh6hBpciInInclR4v/jii6xZs4YJEybg7u7Ot99+y9ixYylTpgzTp0+3d0Yp7CwWeOBtCBkK2GDxcPhjkdmpROyuTe0AxnY2Gnh9vPIQS3ZHmJzozoRMCqH8/8oTMslBdoeIOw8/vgChTeDAEsACDf7VqdzDz+yEYqLZW08Ql3TjVqnwT4PLMZ2CtOxHRERyJEdTzZctW8b06dNp2bIlgwcPpkWLFlSrVo2KFSsya9Ys+vTpY++cUthZLNDxI2PN966Z8P0T4OJp7P0tUoD0a1qJk5cSmLj+GC/O30ugrwd3V9GygzuS3U7lUuj8uDeS15fsB+DBuoHsOnk5Q4PLQDW4FBGRO5SjwjsqKorKlSsDxnruqKgoAO69916eeuop+6UzUWhoKKGhoaSlpZkdRa5xcoJOn0NKIuxfAPP6weNzoWprs5OJ2NUrHWpxMiqen/afYdiMHXz/VDOqlfI2O1a2PVT9IaISo/D3MGlq7s06lZduAO3eVqfyHDL9Pc0Fv/11gWfn7sJmgz53V+CdLnWx2uCRL39j/+kYRrSqyqgHamqkW0RE7kiOCu8qVapw/PhxKlasSFBQEPPmzaNJkyYsW7aMokWL2jmiOUaMGMGIESPSW8SLg3Byhq5fQ2oi/PkDzH4c+n4PlZqbnUzEbpycLPyvZwPOxGxm14nLDArbyqKnm1PCO3+tPf6m0zfmvLDNBod+gp/HqFO5nZn2nuaSPScvM2zGdlLSbDwYHMhbj9TFYrHgbIFiRdwAqFbKW0W3iIjcsRx9+hg0aBB79uwB4NVXX01f6/3cc8/x4osv2jWgyA2cXaH7FKj2gDH1/LvH4NR2s1OJ2JWHqzPf9m9MxeJenIxK4Ilp20lI1gyc2zq1HaY+CHN6G0W3ZzFo/z6M3AbB3VV0S7oj5+IYFLaN+OQ0mlcrzv96NlCBLSIiucZis9lsd3qSEydOsH37dqpWrUr9+vXtkcthZGdTdMljKVeL7vD1RlOkAcugdMH6+ydy7Hwc3b7ayOX4FNrXCWBCn0YqDm7m4lH4ZezVpmkYncrveQqaPwueRc1MJg4oMjqB7l9tIuJyAvXK+fHd0Htu6Gjeb/IWNvx1gXGP1adbw3ImJRUREUeWnVox25f+U1JSaNWqFYcPH06/r0KFCnTr1q3AFd3i4Fw9oddsKH8PJEbDjK5w7qDZqUTsqkpJbyb1b4ybsxMr/zjLe8v1dzyDTDuV7zCap6nolutcupJM/8lbibicQJUSRZg6MOSW24iJiIjYQ7YLb1dXV/bv34/FohEXcQDu3tBnHpS5C+IvwvRHjJEvkQIkpJI/nzxmXNic/Fs4Yb+Hm5woa3rM70HLsJb0mN/D/idPvgLrPoLPG8C2SWBNNTqVP/U7dAkFP41Q5obGExtTblw5Gk9sbHaUHIlPTmXwtG38dS6OQF8Ppg9pQvHb9E6483mBIiIiOVzj3b9/fyZPnmzvLCI54+EHfRdCQF2jc/G0znDpb7NTidhV5/pleKlDTQDe+uEAqw+cNTnR7W06uYl1f69j08lN9jtpWirsCIPPG8Kv7xrbg5VuAP2XQp/52h4sl52JO0NEbARn4s6YHSXbklOtPDVzJ7tOXMbP05XpQ5pQrphXpsdrgEFEROwpR3OrkpOT+fbbb1m9ejWNGzemSJEiGR4fN26cXcKJZJmXP/RbDGEPGg2VpnWCwSvAt4zZyUTs5qn7q3IyKoHZW0/wzOxdzH3yHuqVK2p2rLyR3qn8TbhwyLhPncoli6xWGy8u2MO6w+fxdHVmysAQagT4mB1LREQKkWwV3seOHaNSpUrs37+fhg0bAmRY6w26Qiwm8i5pjHpN7QiXwo2R70HLwbuU2clE7MJisfD2I3U4fTmBdYfPMzhsO4uebkZ5/8xH7cx09Bk7Lfs4tR1WvQ4nNhq3PYvBfS9ByBBwyV9brEnes9lsvPXDAZbsPo2Lk4UJfRvSqGKxrD8/F7OJiEjhka3Cu3r16kRGRvLrr78C0LNnTz7//HMCAgJyJZxItvmWhgFLYUpHuPgXTO8CA38wRsRFCgAXZydC+zSkx9ebOBgZw6CwbXz/VDP8PF3NjnYD9zstitWpXOwg9NcjhG08DsAnPerTqmbWLsZqGEFEROwpW3Pzrt957KeffuLKlSt2DeQoQkNDCQoKIiQkxOwokl1FKxjFt3cgnPvD6HaecNnsVCJ24+3uwpSBjQn09eDIuTiGz9hBcqrV7Fj2E3celr+oTuVyx2Zt+ZtPVhkz88Z0CqLLXWVNTiQiIoXVHS2Ks8MW4A5rxIgRHDhwgG3btpkdRXKieFXovwS8ikPkbpjVA5LizE4lYjel/TyZOsjYBmnTsYu88v3e/P9vcvIVWPex0al860SjU3m1B2D4b+pULtm2fF8kry3eD8DIVtUY1Lxyjs6T73+uRETEIWSr8LZYLDes4daabnFYpWoZxbeHH5zaCrN7QUqC2alE7KZ2aV9C+zTE2cnCwl0RjP/5L7MjZfDdvu/4due3fLfvu1sfmKFT+TtXO5XXN3o29F0AgXXzJK8UHBuPXODZObux2aB3kwo8365Gts+hjzciImJP2VrjbbPZGDhwIO7uxrq9xMREhg8ffkNX84ULF9ovocidCAyGvouM/b2Pb4C5faHXd2rIJAXG/TVK8k6Xury6cB+f/fIX5f296N7IMUaGX1r9EhGxEZT1KcvjwY/feIDNBodXwOox/+pUXgHajFGncsmxfaeiGTp9O8lpVjrWDeSdLnXvaJBA490iImIP2Sq8BwwYkOF237597RpGJFeUa2Ts7zuzGxz5GRYMhh5h4Ox4zahEcqJ3kwqcjIpnwtqjvPL9Xkr7edC8WgmzY92aOpVLLjh2Po6BU7dyJTmNZlWLM75XA5ydclZ0a8BbRETsKVuF99SpU3Mrh0juqtjUGOn+rif8+QMsehK6TQInZ7OTidjFC+1qcupSAkv3nGb4zB18/1Qz0/cp/uiBj4hPicfL9V/bnV08Cr+8BQcWG7ddPODu4XDvc2qalg/c9D11EGeiE+k3eSsXryQTXNaPif0b4+6if+NFRMQxZKvwFsnXqraCnjNgTh/Y/73xgb/zl5rOKgWCk5OFj3vU40x0IluPRzFo6jYWPd2MUr4epmXKML087jys/wi2TzGapmGBBo9Dq/+qaVo+ctMlAw7gcnwy/adsIeJyAlVKFElvPGgXmmsuIiJ2oIpDCpca7aH7ZLA4w+5ZsPwFY52pSAHg7uLMN/0aUaVEESIuJzB42jauJKWaGyr5Cqz/GD6/6yadyieo6JY7Fp+cyuCwbRw+G0eArzvTBjehhPedL1dQ81gREbEnFd5S+AQ9Al2/BiywfTKsek3FtxQYxYq4MXVQCMWLuLE/IoZnZu8izWrC3++0VNgxzehUvuYdSI692ql8iTqVi92kpFl5etZOdp64jJ+nK9MH3015f8ebBi8iIqLCWwqneo9B58+Nrzd9Cb++a24eETuqWLwIkwY0xt3FiV/+PMfYZX/k3V7ENhsc+gm+bk7Ssv8jKS6SJL9y8OhkGLoWqrTMmxySKw5dOMQf5/7g0LUu9CayWm28OH8Paw+dx8PViSkDG1Mz0P59DWyaay4iInagwlsKr4b9oePHxtfrP4b1n5ibR8SOGlYoxvieDbBYYPqmv5n8W3juv+ip7RD2EMzuBef/pKolHg9LLFVt0RDcXf0UCoA209tQ96u6tJnextQcNpuNt388wOLdp3FxsvBVn0Y0quhv19fQRHMREbEnfQqSwu3uYfDAW8bXa96GTRPMzSNiRx2DSzP6wdoAvLv8ID/ti8ydF7p4FOYNgG/bwN+/g7M7NH8WvANy5/Wk0Juw9ihTfz8OwMc96tGqVilzA4mIiNyGupqLNP8PpCTA2vdh5avg6gGNB5udSsQuhtxbmRNR8Uzf9DfPzt1NgJ8HDSsUs8/Jr1yAdR8ZvRKudSqv39voVF60PE0vH+D8lfOULFLSPq8nAszeeoKPVxpT3V9/OIiud+VOg75rvdXUAkREROxBhbcIwP0vQ0o8/P4Z/DAKXDyhQW+zU4ncMYvFwphOdTh9OYGfD57jiWnbWfR0MyoWL5LzkybHw+ZQ+O0zo2kaQLW20HZshqZp83vMv8P0Ihmt2B/J6EX7ABjRqipD7q1sciIREZGs0VTzTISGhhIUFERISIjZUSQvWCxG0dBkGGCDJU/D/oVmpxKxC2cnC5/3vovgsn5EXUlm0NRtXLqSnP0TXetU/sXNOpV/r07lkqs2Hr3AM7N3Y7VB7ybleaFdzTx5XQ14i4iIPajwzsSIESM4cOAA27ZtMzuK5BWLBTp8aDRds1lh4VD4c7nZqUTswsvNhckDGlO2qCfHLlxh2IztJKakZe3J/+pUzrJnIDYSilaAbt+qU7nkif0R0QybvoPkNCsd6gTyTpfgPNhnW+3VRETEflR4i/ybkxM8PB6CHzPWrM4fAEd+MTuViF2U8vVg6qAQfDxc2Hb8Ei8u2Iv1dnt8n9qRoVM5HkWh/XswcjvU66FO5ZLrwi9cYcCUrcQlpdK0SnHG92qAs5OKYhERyV/0iUnkek7O0OUrqN0Z0pJhTh84/pvZqUTsokaAD9/0bYSLk4Vle07zyapM9mOOOgbzB8K3rf/Vqfw/8J/d0HQEuLjf9rWeXPYkPeb34MllT9r1e5DC42xMIv0mb+HilWTqlvVlYv9GeLg652kGNVcTERF7UOEtcjPOLvDoZKjeDlIT4LuecHKr2alE7KJZtRJ88Gg9wNiWafbWE/88eOUCLH8JvgyBPxZhdCp/HP5vh7H1nmfWO6L/+NePLDiwgB//+tHO34EUBtHxKfSfvJVTlxKoVNyLsEFN8PFwzbPXz/WZ7CIiUqio8BbJjIsbPDYDKt8PyXEwszuc3m12KhG76N6oHP9pUx2A1xbvZ8OBE7D+Y/isAWz9xlhqUa0tDP8Nun4FRcubG1gKlYTkNIZM28ahs7GU8nFnxpC7KeF9+1kWIiIijkrbiYnciqsH9J4NMx+FE5tgRlcY+CMEBJmdTOSOPdu2OhFRMTjtnUONuU+D5ZLxQGA9Y3S7aqs7Ov+2odtIs6XhbMnbqcGSe/LiPU1Js/L0rB1s//sSvh4uTB/ShPL+Xrn2epm5NuBtU19zERGxAxXeIrfjVgQenwfTH4HTO43fB/0EJaqZnUwk52w2LIdX8tH5MTi5/glAJCXx6DiWYiG97dI0rbRP6Ts+hziW3H5PrVYbLy3Yy6+HzuPh6sSUgSHUCvTN1dcUERHJC5pqLpIVHr7GPsUBwXDlHEzvDJeOm51KJGdO7YCwh2F2T5wu/InVoyhfuw/m/sRP6L2pPLHJWdxmTMSObDYb7y4/yKJdETg7WZjQpyGNK/mbHUtERMQuVHiLZJWXP/RbBCVqQkwETOsM0RFmpxLJugydyn9L71Tu9J/dPPTku/h6e/PnmVhGfLeLlDSr2WmlkPlq3VEm/xYOwMfd69G6VoCpea41V1NXcxERsQcV3iLZ4V0S+i+BYpXh8t/GyHfsWbNTidxaFjqVl/f3YsrAxni6OrP+8HneWLIf2x1WHKuOrmLpoaWsOrrKPt+HmG7ijomM2zSOiTsm2vW8c7ae4KMVxtZ2rz1Um24Ny9n1/CIiImbTGm+R7PItDQOWwdSOcPEIzOgCA36AIsXNTiaSUXI8bJ4Av42H5Fjjvqpt4IGxEBh8w+H1yhXli953MWzGdmZvPUl5fy+ebpnzXgaDlwwmIjaCsj5lOTXqVI7PI47jrXVvpb+nwxoNs8s5V+w/w38X7QPgqZZVeaJFFbuc11404C0iIvagEW+RnChaHgYsBe9AOHcAZnaFhMtmpxIxWNNg53T4oiGsedsougPrQb/F0G/hTYvua9oGBTCmUx0APlpxiKV7TudRaCmMNh29yDNzdmG1Qc/G5XmpfU2zI6WzoI28RUTEfjTiLZJT/lWM4nvqgxC5B2Z1N9aAu/uYnUwKK5sN/loFq8fA+YPGfX4VoM3rULd7ljuVD2hWiRNR8Uz+LZwX5u2htJ8HITlocvXKva8QmxSLj34m5Cb2R0QzdPp2klOttAsK4N2udbFYVOyKiEjBpMJb5E6UrAn9Fxsdok9tg+96QZ/54Jb3e85KIXdqB6x+w2iaBuBRFO57EUKeMPajz6b/PlibU5fiWfnHWYZO387Cp5pRpaR3ts4xssnIbL+uFA7hF64wcOpW4pJSubuyP5/3vgsXZ8eahJd+DUDd1URExA4c6385kfwoMNiYvuvuaxQ9c/tAapLZqaSwyKRTOf/ZDc1G5qjoBnB2sjC+5100KF+Uy/EpDJy6jYtx+nstd+5sTCL9Jm/hQlwyQaV9mTSgMR6uzmbHEhERyVUqvEXsoWwjY6Tb1QuOrjEKobQUs1NJQXblAvz0MnzZ5F+dyntn6FR+pzzdnPl2QGPK+3tyIiqeJ6ZvJzFFe3xLzkXHpzBgylZOXUqgYnEvpg1ugq+Hq9mxREREcp0KbxF7qXAP9J5jjDgeWg4LhxpNrkTsKTke1n8CnzWALV+DNcXoVD58A3T92mj8Z0clvN2ZOrAJfp6u7Dpxmefm7sZq1dRbyb6E5DSGTNvGn2diKenjzozBd1PSx93sWJlK38fb3BgiIlJAqPAWsacq90PPmeDkaoxCLhkBVqvZqaQgsKbBzhnXdSoPNhr63aZT+Z2qVsqbif0a4ebsxE/7z/DBij+z9LxaX9bC931fan1ZK9eySf6QkmZl5Hc72f73JXw8XJg+uAkViqsXhoiIFB4FvvCOjY0lJCSEBg0aEBwczKRJk8yOJAVdjXbQfQpYnGHPbPhxlJrzSM7ZbHB4JXzVHJaOhNhIo1N5t0kwbD1UbZ0nMe6uUpyPe9QDYOL6Y8zYdPy2z4lLjiM2OZa45LhcTieOzGq18fL3e/nlz3O4uzgxZWAItUv7mh0ry/TPt4iI2EOB72ru5eXFunXr8PLyIj4+nrp169KtWzeKFy9udjQpyII6Q9dvjOnmO6aCqye0f+9fbXJFsiBiB6yyX6fyO/VIg7KcupTAxysPMWbpH5Qp6kmb2gGZHl+jeA38PPwIKJL5MZK/ZPc9tdlsvP/TQRbujMDZycKEPg1ztDWdGbSPt4iI2FOBL7ydnZ3x8jKmsyUmJpKWloZNl68lL9TrAamJxijl5glG47U2r5udSvKDqGPwy9vwx0LjtrM73P0ktBhll6Zpd+LpllU5cTGeudtPMvK7Xcx7sinB5fxueuyaAWvyOJ3ktuy+p1+vO8akDeEAfPRovVteqBERESnITJ9qvn79ejp16kSZMmWwWCwsXrz4hmMmTJhA5cqV8fDwoFGjRmzYsCFbr3H58mXq169PuXLleOmllyhRooSd0ovcRsN+8OAnxtcbPoH1H5ubRxzblYv/6lS+kAydytu9bXrRDWCxWHina11aVC9BQkoag6dtI+JygtmxxAHN3XaCD6/2Axj9YG0ebVTO5ETZdK25mi7Wi4iIHZheeF+5coX69evz5Zdf3vTxuXPn8uyzzzJ69Gh27dpFixYt6NixIydOnEg/plGjRtStW/eGX6dPnwagaNGi7Nmzh/DwcL777jvOnj2bJ9+bCABNhsIDbxtfr3kHNoWam0fMY02D8A2wb4Hx+7Wu98nxsOFT+LzBvzqVt4Yn1+dKp/I75ersxIQ+DakV6MP52CQGTd1KdIK2z5N/rPzjDK8u3AfA8PurMvS+KiYnEhERMZfpU807duxIx44dM3183LhxDBkyhCeeeAKA8ePHs3LlSr766ivef/99AHbs2JGl1woICKBevXqsX7+eHj163PSYpKQkkpKS0m/HxMRk9VsRyVzzZyAlAda+Byv/Cy7uxjpdKTwOLIUVL0PM6X/u8y0DNR40tp+LvXp/YLCxD3ceNU3LKR8PV6YMDKHrhN85fDaOp2buIGxQE9xcTL+eKybbfOwi/zd7F1YbPNa4HC93qGl2JBEREdM59Cek5ORkduzYQbt27TLc365dOzZu3Jilc5w9eza9eI6JiWH9+vXUrJn5h4D3338fPz+/9F/lyzvWSJPkY/e/BPc+Z3z94/Ow+ztz80jeObAU5vXPWHSDcXv7t0bRbUKn8jtVpqgnUwaGUMTNmY1HL/LfRfsyTMsd/ctoRvw4gtG/jDYxpdhTn4V9aD+zPX0W9rnp4/sjohk6bTvJqVYeCArgva7BWPJpU8lrqTXRXERE7MGhC+8LFy6QlpZGQEDGZiwBAQGcOXMmS+c4deoU9913H/Xr1+fee+9l5MiR1KtXL9PjX331VaKjo9N/nTx58o6+B5F0Fgu0GQN3DzduLxkB+783N5PkPmuaMdJ9q4/v7n7w9Gao9xg4OfQ/yzeoU8aPL/s0xNnJwoIdp/hizZH0x6btmcaE7ROYtmeaiQnFntYdX8eqo6tYd3zdDY8dv3CFgVO3EpuUSpPK/nzR+y5cnPPX32cREZHcYvpU86y4/mq5zWbL8hX0Ro0asXv37iy/lru7O+7u7tmJJ5J1Fgt0+MCYdr5zGnw/FFw8oNZDZieTrLBaISkGEi9DwiVIuHz166u3r33978djz8CVc7c+b1I0nN4JlVvkbv5c0qpmKd5+pC7/XbSPcasPU66YJ90a5rNGWnJHzsUk0m/KFi7EJVO7tC/fDmiMh6uz2bFEREQchkMX3iVKlMDZ2fmG0e1z587dMAoukm9YLPDw/4ytxvbOhfkDoddsqN7W7GSFg80GSbE3L5JvV0QnxYDNmju54vJ308fH767Aiah4vl53lJe/30ugnwc/9fmJFGsKrk6uZseTXBSdkEL/KVs5GZVAxeJeTBscgq9H/n/Pr13gV1NzERGxB4cuvN3c3GjUqBGrV6+ma9eu6fevXr2aRx55JFdfOzQ0lNDQUNLS0nL1daSQcnKGRyYYxfeBJTC3D/RZkG9HPPOczQYp8dkvnK/dZ7vDn2sXT2NrL8+i4FHU+N2z2D9fexT95/FLx2H5C7c/p3f+v5j4UvuanLwUz497I3lyxg4WPtWM4NI+ZseSXJSYksbQadv580wsJX3cmTH4bkr5eJgdS0RExOGYXnjHxcVx5Mg/awLDw8PZvXs3/v7+VKhQgVGjRtGvXz8aN25M06ZNmThxIidOnGD48OG5mmvEiBGMGDGCmJgY/Pz8cvW1pJBydoFu30JqEhxeAd/1hP6LoXwTs5PlnZTE2xfJNzx+9T7rHW5f5ex+Y5GcaRF93X0u2ViOYk2D38ZBTCQ3X+dtMbqbV2x2R9+OI3BysvBpj/qcjU5k+9+XGDh1G4tGNFMhVkClplkZ+d1Oth6PwsfDhWmDmlChuJfZsexGzdVERMSeTC+8t2/fTqtWrdJvjxo1CoABAwYQFhZGz549uXjxIm+99RaRkZHUrVuX5cuXU7FiRbMii9iPixv0mAaze8KxtTDzURiwFALrwd8bjenH3gFGUebkoOslU5NvXyRnVlinJt7Zazu5ZLFwvsnjrp539tpZzugMHT40uppjIePH+Ksf7Tt84LjvbzZ5uDozsX9jHv1qI+EXrvDEtO3MGXYPXm6m/3cjdvbKwn38fPAc7i5OTB4QQlAZX7MjiYiIOCyLzabVS7dybcQ7OjoaX199qJBcknwFZnaHExvBrQi4FsnYkMu3jFG8BXXOnddPS4XE6ByMPl8ypnzfCYvT7YvkzB53K2Ksmc8PbrqPd1mj6M6t99VExy9coX1oGDFJCdxdKYDvn+iLs1M+ea8kU+XGlSMiNgJf1wCKxUzG2cnCN30b0TYo/y+VuN4zs3exdM9pXn84iCH3VjY7joiIOKDs1IoagsiE1nhLnnIrAo/PhYn3Q9QxoxD/t5hIY8T0semZF2nWNKN4ztbo89VfybF3+A1YwMP39iPNN7vPzSffbaGVI0Gdje71+WUmwx2qVKIIl73e5RyR/HC6OG//0JA3O9cxO5bYyZXkVIoBH3QLLpBFN/xzTU/jEyIiYg8qvDOhNd6S59yKGNuM3dTVD36Ln4IjqyEx5sYiOjGGO16N6O57tSD2u/06538X0e5+haN4vlNOzoWqgZ7rv/ZwDtt4nAr+XgzWyGG+lpDyz8Xo/z5Yix6Ny5uYRkREJP9Q4S3iKP7eCLGRtz4mOQ52Tr/1Ma5FbtEgrOh1o87/Gn328DMavonYydCGQ4lOiuavM2nsOwhv/3iAMkU96VA30OxokgOrD5zFGtsaH8sVmlQox7D7qpodSUREJN/Qp2wRR5HVfZxrPwKV7r35SLSHn9GwTcQBjGk5BjCm6r6+ZD8zN5/g2bm7mO17D3dVKGZyOsmOLccuMuK7nfilPk6PRuX4qHs9syPlOnUkEBERe1LhLeIosrqPc5OhhWq6suR/FouFNzvVIeJSAr8eOs8T07az6OnmBWrrqYLswOkYnpi2neRUK21rB/B+t2As+aWpoYiIiIPQosxMhIaGEhQUREhIiNlRpLCo2MzoXp7pOIvF6IJdAPZ7lsLHxdmJLx9vSJ0yvly8kszAsK1cjk82O5bcxt8Xr9B/ylZik1JpUsmfLx+/CxfnwvXRQb3VRETEHgrX/57ZMGLECA4cOMC2bdvMjiKFxbX9noEbi++Ct9+zFD5F3F2YMjCEMn4eHDt/hSdn7CApVTtHOKpzsYn0m7yVC3FJ1C7ty6QBjfFwLTz//mhUX0RE7EmFt4gjCepsbBnmWzrj/b5lbr2VmIgDunfKvVT7vBr3Trk3/b4AXw+mDArBx92FLeFRvLRgr7ZrckDRCSkMmLKNE1HxVPD3YtrgEPw8XSk3rhyWsRbKjStndkQREZF8RWu8RRxNIdvvWQqu45ePExEbQWJqYob7awX68lXfRgycupUlu09Twd+L59vVNCmlXC8xJY2h07dzMDKGEt7uzBjShFI+HmbHynPXxrttd7pNo4iICBrxFnFM1/Z7Du5u/K6iW/Ihf09/SniVwN/T/4bH7q1egve6BQPwxZojzNt2Mq/jyU2kplkZ+d0utoZH4ePuwrTBIVQsXsTsWCIiIvmeRrwzERoaSmhoKGlpWn8oIpITe5/ae8vHH2tcnlNR8Xy+5gj/XbSP0kU9aFG9ZB6lk+vZbDZeXbiPnw+exc3FiUkDGlOnjJ/ZsURERAoEjXhnQs3VRERy33MP1KDrXWVJtdp4auZO/jwTY3akQuuDFX8yf8cpnCzwZe+7uKdKcbMjmevqXHO1IBAREXtQ4S0iIqaxWCx88Ggwd1f2Jy4plUFTt3E2JvH2TxS7mrj+KN+sOwbAB93q0a5OoMmJREREChYV3iIiYip3F2cm9mtM1ZJFiIxOZNDUbcQlpZodq9BYsOMU7y3/E4BXOtbisZDyJicSEREpeFR4i4hIrhi3aRxvrn2TcZvG3fZYPy9XwgY1oYS3GwciY/i/73aSmmbNg5SF288HzvLy98Za/GH3VWH4/VVNTuQ4LFfnmmumuYiI2IMKbxERyRXjNo1j7LqxWSq8Acr7e/HtgBA8XJ349dB5xiz9Q3t856Kt4VGM+G4naVYbjzYsx6sda5kdSUREpMBS4S0iIg6jQfmifNbrLiwWmLXlBBPXHzM7UoF04HQMQ6ZtIynVSptapfjw0WAsFsvtn1iIWNRcTURE7EjbiWVC24mJiNyZmd1mkpSahLuLe7ae175OIK8/FMRbPxzg/Z/+pFwxLx6qVzqXUhY+Jy7GM2DqVmITUwmpVIzQPg1xcc7adficvqciIiKFnQrvTIwYMYIRI0YQExODn5/2MRURya6WlVrm+LmD763MyUvxTP39OM/N202ArzuNK/nbL1whdS42kX5TtnA+NolagT5Xp/Y7Z/n5d/KeioiIFGaaai4iIg7ptYeCeCAogORUK0Onbyf8whWzI+VrMYkpDJyyjb8vxlPe35Ppg5vg5+lqdiyHdW3ivU3t1URExA5UeIuIiENydrLwWa8G1C/nx6X4FAZN3UrUlWSzY+VLiSlpDJ22nQORMZTwdmPG4Lsp5ethdiwREZFCQ4W3iIjkivBL4RyJOkL4pfAcn8PLzYVvB4RQrpgnxy/GM3T6dhJT1HsjO1LTrDwzexdbwqPwcXchbFATKpUokqNzrT2+lpVHVrL2+Fr7hhQRESngVHiLiEiuaDG1BdW/qE6LqS3u6DwlfdwJGxSCr4cLO/6+xPPz9mC1avpvVthsNkYv2s+qA2dxc3FiYv/G1C2b874lfRf2pcOsDvRd2NeOKR2TupqLiIg9qfAWERGHV62UD9/0a4yrs4Uf90Xy4co/zY6UL3y08hBzt5/EyQJf9L6LplWLmx1JRESkUFLhnYnQ0FCCgoIICQkxO4qISL7UtVZX+gT3oWutrnY5X9Oqxfmoez0Avll3jJmb/7bLeQuqbzcc46u1RwF4v1sw7esEmpwof7Ggfc1FRMR+tJ1YJrSdmIjInfniwS/sfs6ud5XjZFQC41Yf5o0l+ylb1JNWtUrZ/XXyu+93nOKdHw8C8FKHmvQMqWByIhERkcJNI94iIpKv/F/ranRvVA6rDUZ8t5P9EdFmR3Iovxw8y0vf7wXgiXsr89T9VU1OJCIiIiq8RUQkX7FYLLzfLZh7q5UgPjmNwWHbOH05wexYDmHb8SienrWTNKuNbg3L8t8Ha2OxaMp0TvzTXE3d1URE5M6p8BYRkXzH1dmJCX0bUiPAm3OxSQyauo2YxBSzY5nqzzMxDAnbRlKqlda1SvHho/VwclLRLSIi4ghUeIuISK7oPLszTSc3pfPszrlyfl8PV6YOakJJH3cOnY1lxKydpKRZc+W1HN3JqHj6T95KTGIqjSsWI/Txhrg66794ERERR6H/lUVEJFfsjNzJ5lOb2Rm5M9deo2xRT6YODMHLzZkNf11g9KJ9hW5q8PnYJPpN3sK52CRqBfoweUAInm7OZsfK97SPt4iI2JMKbxERydfqlvXjy8fvwskC87afIvTXI2ZHyjMxiSkMnLqV4xfjKVfMk2mDm+Dn5Wp2LBEREbmOthMTEZFccWrUqTx7rda1AhjbuQ6vL/mDT1YdplwxL7rcVTbPXt8MiSlpDJu+nT9Ox1DC240ZQ+4mwNcjV18zL99T82l9vIiI2I9GvEVEpEDo17QSw+6rAsBLC/ay+dhFkxPlntQ0K/+Zs4vNx6LwdnchbFATKpcoYnasAkkzzUVExB5UeIuISIHxSodaPBgcSHKalWHTt3PkXKzZkezOZrPx2uL9rPzjLG7OTkzs34i6Zf3MjiUiIiK3oMI7E6GhoQQFBRESEmJ2FBERySInJwvjHmtAwwpFiUlMZeDUbZyPTTI7ll19vPIQc7adxMkCn/duQLOqJcyOVCCpuZqIiNiTCu9MjBgxggMHDrBt2zazo4iI5Ethu8MI3RpK2O6wPH1dD1dnJvVvTMXiXpy6lMAT07eTkJyWpxlyy7cbjjFh7VEA3u0aTIe6pfP09ceuHcuolaMYu3Zsnr6uiIhIfqfCW0REcsVra15j5E8jeW3Na3n+2sW93Zk6MISiXq7sOXmZ/8zZRZo1fw9dLtx5ind+PAjAi+1r0rtJhTzPMGnnJP63+X9M2jkpz19bREQkP1PhLSIiBVKVkt5M6t8YNxcnVh04y7tXi9b8aM2fZ3lxwV4ABjevzNMtq5qcqOC71tPcpvZqIiJiB9pOzA5sNhupqamkpRWMqYyS95ydnXFxccFi0fY1UnB83vFz4lPi8XL1Mi1DSCV/Pu1Rn/+bvYspv4dT3t+TQc0rm5YnJ7Yfj+LpWTtJs9roeldZXnuotv6tEBERyWdUeN+h5ORkIiMjiY+PNzuK5HNeXl6ULl0aNzc3s6OI2EW32t3MjgBAp/plOHUpgQ9X/MlbPxygbFFP2tUJNDtWlhw6E8vgsG0kplhpVbMkH3Wvh5OTiu68oGsbIiJiTyq874DVaiU8PBxnZ2fKlCmDm5ubRiEk22w2G8nJyZw/f57w8HCqV6+Ok5NWgYjY0/D7q3AiKp7ZW0/wzJxdzB3WlPrli5od65ZORsXTf8oWYhJTaVSxGBP6NMLVWf825DV1NRcREXtQ4X0HkpOTsVqtlC9fHi8v86ZSSv7n6emJq6srf//9N8nJyXh4eJgdSaRAsVgsvP1IHU5fTmDd4fMMmbaNRU83p7y/Y/7bfSEuif5TtnI2JomaAT5MGRCCp5uz2bFEREQkh3Tp3A40Oin2oL9HUtDEJsUSkxRDbFKs2VEAcHF2IrRPQ2qX9uVCXDKDwrYRHZ9idqwbxCamMHDqVsIvXKFsUU+mDW6Cn5er2bEKHQuawSYiIvajT/oiIpIraofWxu8DP2qH1jY7SjpvdxemDgwh0NeDI+fieHLmdpJTrWbHSpeYksaw6TvYHxFD8SJuzBjShEA/zYAxk2aai4iIPajwFhGRQiXQz4Opg0Lwdndh87EoXvl+LzYHWMibZrXx7JzdbDp2EW93F8IGNaFKSW+zY4mIiIgdqPB2AGlWG5uOXmTJ7gg2Hb1ImtW8D4ADBw6kS5cu2X7em2++SYMGDeyS4dKlS/Tr1w8/Pz/8/Pzo168fly9ftsu5RSTv3F/pftpVbcf9le43O8oNapf2JbRPQ5ydLCzcFcH/fv7L1Dw2m43XFu9jxR9ncHN2YmK/RgSX8zM108048ntqb+m9Uh3gooyIiOR/aq5mshX7Ixm77ACR0Ynp95X282BMpyA61C1tYjLzPP7445w6dYoVK1YAMGzYMPr168eyZctMTiYi2TGr2yyzI9zS/TVK8m6XuryycB+f//IX5Yt50qNxeVOyfLrqMLO3nsTJAp/1akCzaiVMyXE7jv6eioiIOCqNeJtoxf5Inpq5M0PRDXAmOpGnZu5kxf7IXHndBQsWEBwcjKenJ8WLF6dt27ZcuXKFN998k2nTprFkyRIsFgsWi4W1a9cC8PLLL1OjRg28vLyoUqUKr7/+OikpRlOisLAwxo4dy549e9KfFxYWBkB0dDTDhg2jVKlS+Pr60rp1a/bs2ZNptoMHD7JixQq+/fZbmjZtStOmTZk0aRI//PADhw4dypU/DxEpvHo1qcCIVlUBeHXhPn4/ciHPM0z5LZwvfz0CwDtdgukYXDgvuoqIiBRkGvHORGhoKKGhoaSlpWX5OTabjYSUrB2fZrUxZukfN23aYgMswJtLD9C8WgmcnW7fWdXT1TlLe4hHRkbSu3dvPvroI7p27UpsbCwbNmzAZrPxwgsvcPDgQWJiYpg6dSoA/v7+APj4+BAWFkaZMmXYt28fQ4cOxcfHh5deeomePXuyf/9+VqxYwc8//wyAn58fNpuNhx56CH9/f5YvX46fnx/ffPMNbdq04fDhw+nn/rdNmzbh5+fH3XffnX7fPffcg5+fHxs3bqRmzZq3/R5FRLLj+QdqcjIqgaV7TjN8xg4WPNWMmoE+efLai3dF8NYPBwB4oV0NHr+7Qp68rtxe+kxzU1OIiEhBocI7EyNGjGDEiBHExMTg55e1dXYJKWkEvbHSLq9vA87EJBL85qosHX/grfZ4ud3+7YyMjCQ1NZVu3bpRsWJFAIKDg9Mf9/T0JCkpicDAwAzPe+2119K/rlSpEs8//zxz587lpZdewtPTE29vb1xcXDI8b82aNezbt49z587h7u4OwCeffMLixYtZsGABw4YNuyHfmTNnKFWq1A33lypVijNnztz2+xMRyS4nJwsf96jHmehEth6PYtDUrSwa0ZwA39ztJv7roXO8MN+YATSoeSVGtKqWq68nIiIi5lHhXcjUr1+fNm3aEBwcTPv27WnXrh3du3enWLFit3zeggULGD9+PEeOHCEuLo7U1FR8fX1v+ZwdO3YQFxdH8eLFM9yfkJDA0aNHM33ezUbubTZblkb0RcRxDFoyiIvxFynuVZypj0w1O84tubs4M7F/I7p9tZFj568wZNo25g5rShH33Plvcsffl3hq5g5SrTa6NCjD6w8F5Yt/41pPa83ZK2cJKBLAmgFrzI6Tq/LD+yEiIvmHCm878nR15sBb7bN07NbwKAZO3Xbb48IGhdCk8o1Tsm/22lnh7OzM6tWr2bhxI6tWreKLL75g9OjRbNmyhcqVK9/0OZs3b6ZXr16MHTuW9u3b4+fnx5w5c/j0009v+VpWq5XSpUunrxP/t6JFi970OYGBgZw9e/aG+8+fP09AQMBtvz8RcRyrj64mIjaCsj5lzY6SJUW93Agb2ISuE35nf0QM/zd7FxP7NcLF2b7tUA6fjWVw2DYSU6y0rFmSj3vUxykLS4ocweGLh4mIjSA6MdrsKHlGTc1FRMQe1FzNjiwWC15uLln61aJ6SUr7eZDZRy0LRnfzFtVLZul82bkyb7FYaN68OWPHjmXXrl24ubmxaNEiANzc3G5Y1/77779TsWJFRo8eTePGjalevTp///13hmNu9ryGDRty5swZXFxcqFatWoZfJUrcvGNv06ZNiY6OZuvWren3bdmyhejoaJo1a5bl71FEJCcqFPdi0oDGuLs4sebPc4xddsCue3yfuhRPv8lbiE5IoWGFokzo0xBXOxf2IiIi4nj0v71JnJ0sjOkUBHBD8X3t9phOQVlqrJYdW7Zs4b333mP79u2cOHGChQsXcv78eWrXrg0Y67f37t3LoUOHuHDhAikpKVSrVo0TJ04wZ84cjh49yueff55eqF9TqVIlwsPD2b17NxcuXCApKYm2bdvStGlTunTpwsqVKzl+/DgbN27ktddeY/v27TfNV7t2bTp06MDQoUPZvHkzmzdvZujQoTz88MNqrCaSz+wZvodzL5xjz/DMdzJwRA0rFOOzXg2wWGDG5r/5dkO4Xc57MS6J/pO3cjYmiRoB3kwZGJKl3hwiIiKS/6nwNlGHuqX5qm9DAv0yNvAJ9PPgq74Nc2Ufb19fX9avX8+DDz5IjRo1eO211/j000/p2LEjAEOHDqVmzZo0btyYkiVL8vvvv/PII4/w3HPPMXLkSBo0aMDGjRt5/fXXM5z30UcfpUOHDrRq1YqSJUsye/ZsLBYLy5cv57777mPw4MHUqFGDXr16cfz48VtOG581axbBwcG0a9eOdu3aUa9ePWbMmGH3PwsRyV3FvYpTskhJinsVv/3BDqZD3dKMftC4IPnu8oMs33dn2zvGJaUycOo2jl24QtminkwffDdFvdzsEVVymU19zUVExA4sNnvOoSuArnU1j46OvqGZWGJiIuHh4VSuXBkPj5x3v02z2tgaHsW52ERK+XjQpLK/3Ue6xfHZ6++TiNiHzWbjzaV/MG3T37i7OPHd0HtoVPHWjShvJik1jUFTt7Hx6EX8i7ixYHhTqpT0zoXEua/cuHLp6/ZPjTpldpxc9ebSPwjbeJwRraryYvtaZscREREHdKta8Xoa8XYAzk4WmlYtziMNytK0anEV3SIiDsBisfBGpzq0rV2KpFQrQ6dv5/iFK9k6R5rVxnNzd7Px6EWKuDkTNigk3xbdhc211ikanhAREXtQ4S0iIrnih8M/MP+P+fxw+Aezo+SYs5OFz3vfRXBZP6KuJDMobBuXriRn6bk2m43Xl+xn+b4zuDk7MbF/Y+qVK5q7gUVERMQhqfAWEZFcMfyH4Ty24DGG/zDc7Ch3xMvNhckDG1O2qCfhF64wbMZ2ElPSbvu8/60+zHdbTmCxwPheDWhe7ea7OYhjsmS674iIiEj2qfAWERG5jVI+HkwdFIKPhwvbjl/ixQV7sVozn4M89fdwPl9zBIB3utTlwWD7N8uUvKGZ5iIiYg/ax0RERHLFG/e/QVxyHN5uBWNNc40AH77p24j+U7aybM9pyhXz5OUONzbdWrI7grHLDgDw/AM16HN3xbyOmmsK2nsqIiKSV1R4i4hIrhjWaJjZEeyuWbUSfPBoPV6Yv4ev1h6lbFFPqpb0Tt+VIiE5lefnGfuWD2xWiZGtq5mc2L4K4nuaGYtmmouIiB2p8BYREcmG7o3KcepSPON//ovXFu+/6TGd65fhjYeDsKh6y/fU1VxEROxBa7xFRESyqWaAzy0ffyAoACdtDSkiIiJXqfAWERHJhjSrjbd+OJDp4xbgveUHSbtF87X8KjI2klMxp4iMjTQ7Sq67dtnEpvZqIiJiByq8RUQkV1T5rAru77hT5bMqZkexq63hUURGJ2b6uA2IjE5ka3hU3oXKIyGTQij/v/KETAoxO4qIiEi+osLbEVjTIHwD7Ftg/G69/f6wuWXgwIF06dIl28978803adCggV0yvPvuuzRr1gwvLy+KFi1ql3OKSN5LTktO/1WQnIvNvOjOyXHimLQ8X0RE7KnQNFeLj4+ndu3a9OjRg08++cTsOP84sBRWvAwxp/+5z7cMdPgQgjqbl8tEycnJ9OjRg6ZNmzJ58mSz44hIDtUtVZdSRUpRqkgps6PYVSkfD7seJw5OM81FRMSLX4l+AAD+IElEQVQOCs2I97vvvsvdd99tdoyMDiyFef0zFt0AMZHG/QeW5srLLliwgODgYDw9PSlevDht27blypUrvPnmm0ybNo0lS5ZgsViwWCysXbsWgJdffpkaNWrg5eVFlSpVeP3110lJSQEgLCyMsWPHsmfPnvTnhYWFARAdHc2wYcMoVaoUvr6+tG7dmj179twy39ixY3nuuecIDg7Ole9fRPLGir4r2PnkTlb0XWF2FLtqUtmf0n4eZDYgagFK+3nQpLJ/XsYSERERB1YoRrz/+usv/vzzTzp16sT+/Tff+sUubDZIic/asdY0+Oklbn4p3QZYjJHwKi3Byfn253P1ytK8uMjISHr37s1HH31E165diY2NZcOGDdhsNl544QUOHjxITEwMU6dOBcDf3/jg6OPjQ1hYGGXKlGHfvn0MHToUHx8fXnrpJXr27Mn+/ftZsWIFP//8MwB+fn7YbDYeeugh/P39Wb58OX5+fnzzzTe0adOGw4cPp59bRCQ/cXayMKZTEE/N3ImFjP+KX/tXeEynIJzV1Txf01ZwIiJiT6YX3uvXr+fjjz9mx44dREZGsmjRohvWGE+YMIGPP/6YyMhI6tSpw/jx42nRokWWX+OFF17g448/ZuPGjXZOf52UeHivjJ1OZjNGwj8on7XD/3sa3Irc9rDIyEhSU1Pp1q0bFStWBMgwsuzp6UlSUhKBgYEZnvfaa6+lf12pUiWef/555s6dy0svvYSnpyfe3t64uLhkeN6aNWvYt28f586dw93dHYBPPvmExYsXs2DBAoYNG5a1701ExMF0qFuar/o2ZOyyAxkarQX6eTCmUxAd6pY2MZ3Yk2aai4iIPZheeF+5coX69eszaNAgHn300Rsenzt3Ls8++ywTJkygefPmfPPNN3Ts2JEDBw5QoUIFABo1akRSUtINz121ahXbtm2jRo0a1KhRI/cL73ygfv36tGnThuDgYNq3b0+7du3o3r07xYoVu+XzFixYwPjx4zly5AhxcXGkpqbi6+t7y+fs2LGDuLg4ihcvnuH+hIQEjh49esffi4iImTrULc0DQYFsDY/iXGwipXyM6eUa6RYREZHrmV54d+zYkY4dO2b6+Lhx4xgyZAhPPPEEAOPHj2flypV89dVXvP/++4BR4GVm8+bNzJkzh/nz5xMXF0dKSgq+vr688cYbNz0+KSkpQxEfExOT9W/G1csYec6KvzfCrO63P67PAqjYLGuvnQXOzs6sXr2ajRs3smrVKr744gtGjx7Nli1bqFy58k2fs3nzZnr16sXYsWNp3749fn5+zJkzh08//fSWr2W1WildunT6OvF/U7dykYLvxVUvcinxEsU8ivFxu4/NjpMrnJ0sNK1a/PYHSr6jyyciImJPphfet5KcnMyOHTt45ZVXMtzfrl27LI9ev//+++kFelhYGPv378+06L52/NixY3MW2GLJ0nRvAKq2NrqXx0Ry84lsFuPxqq2ztsY7GywWC82bN6d58+a88cYbVKxYkUWLFjFq1Cjc3NxIS8u4ndnvv/9OxYoVGT16dPp9f//9d4Zjbva8hg0bcubMGVxcXKhUqZJdvwcRcXyz988mIjaCsj5lC2zhLQWfzabJ5iIicuccuqv5hQsXSEtLIyAgIMP9AQEBnDlzJlde89VXXyU6Ojr918mTJ3PldXByNrYMA268rn71docP7F50b9myhffee4/t27dz4sQJFi5cyPnz56lduzZgrN/eu3cvhw4d4sKFC6SkpFCtWjVOnDjBnDlzOHr0KJ9//jmLFi3KcN5KlSoRHh7O7t27uXDhAklJSbRt25amTZvSpUsXVq5cyfHjx9m4cSOvvfYa27dvzzTjiRMn2L17NydOnCAtLY3du3eze/du4uLi7PpnISIikikNeYuIiB059Ij3Ndd3FrXZbDnqNjpw4MDbHuPu7p7eCCzXBXWGx6Znso/3B7myj7evry/r169n/PjxxMTEULFiRT799NP06f5Dhw5l7dq1NG7cmLi4OH799VceeeQRnnvuOUaOHElSUhIPPfQQr7/+Om+++Wb6eR999FEWLlxIq1atuHz5MlOnTmXgwIEsX76c0aNHM3jwYM6fP09gYCD33XffDRdT/u2NN95g2rRp6bfvuusuAH799Vdatmxp9z8TEckdv/T/hVRrKi5O+eK/GsmCwvieasBbRETswWJzoDlUFoslQ1fz5ORkvLy8mD9/Pl27dk0/7j//+Q+7d+9m3bp1uZ4pJiYGPz8/oqOjb2gmlpiYSHh4OJUrV8bDwyPnL2JNM9Z8x50F7wBjTbedR7rF8dnt75OIiNyx9386yDfrjvHEvZV57eEgs+OIiIgDulWteD2Hnmru5uZGo0aNWL16dYb7V69eTbNmWWg4dgdCQ0MJCgoiJCQkV18HMIrsyi0guLvxu4puERERU1k011xEROzI9LlicXFxHDlyJP32tXXC/v7+VKhQgVGjRtGvXz8aN25M06ZNmThxIidOnGD48OG5mmvEiBGMGDEi/SqGiIiIFD4OMy1QRETyNdML7+3bt9OqVav026NGjQJgwIABhIWF0bNnTy5evMhbb71FZGQkdevWZfny5VSsWNGsyCIikgWbTm4iKS0Jd2d3mpZvanYcsYPv9n1HfEo8Xq5ePB78uNlxRERE8g3TC++WLVvedquOp59+mqeffjqPEomIiD30mN8jfTuxU6NOmR1H7OCl1S+lv6cFvfDOQQ9XERGRTDn0Gm8z5ekabxEREXFIjtOCVkRE8jPTR7wdldZ4i4jcmREhI4hJisHX/dZdPkUckQa8RUTEnlR4i4hIrni1xatmRxC5Yza1VxMRETvQVHMRERERERGRXKQR70yEhoYSGhpKWlqa2VFEREQkj6m5moiIedKsNraGR3EuNpFSPh40qeyPs1P+/odZI96ZGDFiBAcOHGDbtm1mR8kTa9euxWKxcPny5Tx93bCwMIoWLXpH5zh+/DgWi4Xdu3dneoxZ35+IiORvaq4mIpK3VuyP5N4P19B70mb+M2c3vSdt5t4P17Bif6TZ0e6ICu9CqGXLljz77LNmx3A4lSpVwmKxMGfOnBseq1OnDhaLhbCwsAzHjx8//qbnunjxIh06dKBMmTK4u7tTvnx5Ro4cSUxMTC6lF3E8jSc2pty4cjSe2NjsKCIiIpIPrNgfyVMzdxIZnZjh/jPRiTw1c2e+Lr5VeEuOpaSkmB3B7sqXL8/UqVMz3Ld582bOnDlDkSJFsnweJycnHnnkEZYuXcrhw4cJCwvj559/Zvjw4faOLOKwzsSdISI2gjNxZ8yOIpJtFvU1FxHJU2lWG2OXHbhpS8tr941ddoA0a/6ciqTCu5AZOHAg69at47PPPsNisWCxWDh+/Hj64zt27KBx48Z4eXnRrFkzDh06lP7Ym2++SYMGDZgyZQpVqlTB3d0dm81GdHQ0w4YNo1SpUvj6+tK6dWv27NmT/rw9e/bQqlUrfHx88PX1pVGjRmzfvj1DrpUrV1K7dm28vb3p0KEDkZH/XM2yWq289dZblCtXDnd3dxo0aMCKFStu+X0uX76cGjVq4OnpSatWrTJ8j7fSp08f1q1bx8mTJ9PvmzJlCn369MHFJestEYoVK8ZTTz1F48aNqVixIm3atOHpp59mw4YNWT6HSH4X6B1IWZ+yBHoHmh1F7ETvqYiI5Jb1h8/fMNL9bzYgMjqRreFReRfKjlR4FzKfffYZTZs2ZejQoURGRhIZGUn58uXTHx89ejSffvop27dvx8XFhcGDB2d4/pEjR5g3bx7ff/99+prqhx56iDNnzrB8+XJ27NhBw4YNadOmDVFRxg9Fnz59KFeuHNu2bWPHjh288soruLq6pp8zPj6eTz75hBkzZrB+/XpOnDjBCy+8kCHzp59+yieffMLevXtp3749nTt35q+//rrp93jy5Em6devGgw8+yO7du3niiSd45ZVXsvTnExAQQPv27Zk2bVp6trlz597w55Bdp0+fZuHChdx///13dB6R/GT7sO2cGnWK7cO23/5gyRf0noqIiD2kpFnZHxHNzM1/89KCPbT/33oGh2Wtt9a52MyLc0emruaZuJOu5uM2jWPcpnEAzOw2k5aVWqY/Fn4pnBZTWwDQtVZXvnjwiwzP7Ty7MzsjdwJwatSpDI+F7Q7jtTWvAfB5x8/pVrtbtrP5+fnh5uaGl5cXgYE3jli8++676cXhK6+8wkMPPURiYiIeHh4AJCcnM2PGDEqWLAnAmjVr2LdvH+fOncPd3R2ATz75hMWLF7NgwQKGDRvGiRMnePHFF6lVqxYA1atXz/CaKSkpfP3111StWhWAkSNH8tZbb6U//sknn/Dyyy/Tq1cvAD788EN+/fVXxo8fT2ho6A3fw1dffUWVKlX43//+h8VioWbNmuzbt48PP/wwS39GgwcP5vnnn2f06NEsWLCAqlWr0qBBgyw993q9e/dmyZIlJCQk0KlTJ7799tscnUdERPKWupqLiNiH1Woj/OIV9p66zJ6T0ew5dZk/TseQnGrN0flK+XjYOWHeUOGdiREjRjBixAhiYmLw8/PL1nNjkmKIiI0AICk1KcNjaba09McuJV664bnn48+nP369K8lX0h+LT4nPVqasqlevXvrXpUuXBuDcuXNUqFABgIoVK6YX3WBMTY+Li6N48eIZzpOQkMDRo0cBGDVqFE888QQzZsygbdu29OjRI73IBvDy8spwu3Tp0pw7dw6AmJgYTp8+TfPmzTOcv3nz5hmms//bwYMHueeee7D861NT06ZNs/xn8NBDD/Hkk0+yfv16pkyZckej3f/73/8YM2YMhw4d4r///S+jRo1iwoQJOT6fiIjkLZvamouIZMuZ6ET2nLrMnpOX2XvKKLRjE1NvOM7Xw4X65YtSv1xR6pcvSt0yvnT7aiNnohNvus7bAgT6GVuL5UcqvHOBr7svZX3KAuDu4p7hMWeLc/pjxTyK3fDckl4l0x+/XhG3IumPebl62TNyun9PAb9WuFqt/1yNur7BmNVqpXTp0qxdu/aGc13bJuzNN9/k8ccf58cff+Snn35izJgxzJkzh65du97wmtde9/oPOpbrhh5sNtsN9/37sTvh4uJCv379GDNmDFu2bGHRokU5PldgYCCBgYHUqlWL4sWL06JFC15//fX0ixoiIuKYNOAtInJ70fEp7I0wCuzdJy+z99RlzsYk3XCcu4sTdcv6Ua+cHw3KF6VeuaJUKu51w+f5MZ2CeGrmTiyQofi2/Ovx/LqftwrvXDCq6ShGNR1108cqF6t8wxTyf1vae2mmjw1sMJCBDQbeaTzc3NxyNIX+Zho2bMiZM2dwcXGhUqVKmR5Xo0YNatSowXPPPUfv3r2ZOnVqeuF9K76+vpQpU4bffvuN++67L/3+jRs30qRJk5s+JygoiMWLF2e4b/PmzVn6fq4ZPHgwn3zyCT179qRYsRsvkOTEtQsCSUk3/mMkUhC9v+F9YpJi8HX35dUWr5odR+zgyWVPEpUYhb+HP990+sbsOHlC490iIobElDT+OB1zdST7MntORRN+4coNxzlZoEaAT3qBXb+8HzUCfHB1vn17sQ51S/NV34aMXXYgQ6O1QD8PxnQKokPd/Dt4pcK7EKpUqRJbtmzh+PHjeHt74++f8+kabdu2pWnTpnTp0oUPP/yQmjVrcvr0aZYvX06XLl2oU6cOL774It27d6dy5cqcOnWKbdu28eijj2b5NV588UXGjBmTvtZ66tSp7N69m1mzZt30+OHDh/Ppp58yatQonnzySXbs2JFh/+2sqF27NhcuXMDL69YzCyIiItKbzF1ToUIFNm/ezNmzZwkJCcHb25sDBw7w0ksv0bx581teoBApSEK3hRIRG0FZn7IqvAuIH//6Mf09FRGRgis1zcqR83HsOXmZ3Sej2XvqMofOxJJ6k628Kvh7XZ0y7kf98kWpU8YXL7ecl5kd6pbmgaBAtoZHcS42kVI+xvTy/DrSfY0K70LohRdeYMCAAQQFBZGQkEB4eHiOz2WxWFi+fDmjR49m8ODBnD9/nsDAQO677z4CAgJwdnbm4sWL9O/fn7Nnz1KiRAm6devG2LFjs/wazzzzDDExMTz//POcO3eOoKAgli5dekOTtmsqVKjA999/z3PPPceECRNo0qQJ7733XrbXal+/bv1mPvnkEz755JMM902dOpWKFSsyadIknnvuOZKSkihfvjzdunXLcnd1ERExmbqriUghYbPZOBmVkGFd9r6IaBJSbpwhW8LbLX1Ndr1yftQvV5RiRdzsnsnZyULTqrf/LJ6fWGzqGnJT/+5qfvjwYaKjo/H19c1wTGJiIuHh4VSuXDm967dITunvkxQ0m05uIiktCXdnd5qWz3qDQ3Fc5caVSx/xvtWyqYJg3OrDfP7LX/S7pyJvd6lrdhwREbs5H5uUPlX82rTxS/EpNxzn7e5CcFk/6pX3o0G5otQrX5Qyfh6Z9lkqjK414r5ZrXg9jXhn4k66mouICCq2RURETBaXlMq+U9FXC21jO6+Iywk3HOfqbCGotO/VkeyiNCjvR5US3jjl8+ndjkSFt4iIiMh19FFTRPKb5FQrf54xmp9dG80+cj6O6+c3WyxQtaT31SnjxnTxWqV9cHdxNid4IaHCW0RERCQTNvU1FxEHZLXaOPb/7N13dBTl28bx76YnkARC74ROaKEqVRBBRIooUgQFUREFEVEsPyv6KjYQS0CxIYICIk1BikqT3kKRJk1aINQUQurO+8dINNQk7GZ2N9fnHA7sZHb2Sp4syT1PO5XIlsPmPtlbjsSx81g8qRn2y84tUyjQnI/9z7zsOmVCCQ7wvcJVxZlUeIuIiFPsPrWbdHs6Pl4+VC9a3eo4IjmiKYwi4ioMwyAmLjlLT/b2o3EkpKRfdm6hIF9zqHhmoV2IYsH+FqSWS6nwFhERp2g7qW2+WYhLRETEUc4lpbLlSBxbD5/L7M0+mZBy2XkBvl7m4mf/rDJer2wo5cOCtPiZi1LhLSIiInIV2vtFRJzpQmoGfx6LI/qfbby2HDnH36eTLjvP28tG9RLBWfbLrlq8ID7eXhakltxQ4S0iIk7Ru3ZvziafpXBAYaujiIPkpza1aXk1EXGw9Aw7u08kmAX2P8PG95xIIMN++R2+ikWCsqwwHlEqlEA/LX7mzlR4X8V/9/EWEZGce6/9e1ZHEAfLj22qDm8RyQ3DMPj7dFLmFl5bj5xj+7E4ktMuX/ysWLA/9f4psOuWNRdAKxTkZ0FqcSYV3lehfbxFRERERCQ7YhOSMwvsi8PG4y6kXXZesL8Pdf8psC9u51UyJEDzsvMBFd4CwNKlS2nTpg1nz56lUKFCefa6EydOZNiwYZw7dy7X1zh48CDh4eFs3ryZyMjIK55j1ecnIiLuSb8Di8jVxCensf1IHNFHzrH1n+28YuKSLzvPz9uLiNIhmXOy65UrRHiRAnh56T+Y/EiFdz7UunVrIiMjGTt2rNVRXErFihX5+++/+f777+nVq1eWj9WqVYsdO3bw9ddf079//8zzhw0bxrBhw654vSeffJI//viD7du3U7NmTaKjo537CYiIiMNpcTWR/C0lPYOdMQn/zMk+x5bD59h/6vxl/zfYbFC1eEHqlS1E3XKFiCxbiOolg/Hz0eJnYlLhLbmWlpaGr6+v1TEcqly5cnz99ddZCu81a9Zw/PhxChQokKNrGYbBgAEDWLt2LVu3bnV0VBGX12FyB2LPx1K8QHEW9F1gdRxxgBqf1OBYwjFKB5dm15BdVsdxKvVHieQ/GXaDfScTM4vsrUfi2BkTT1rG5XfgyhQKJLKcOVS8btlC1C4TSkF/lVZydboFk8/079+fZcuW8eGHH2Kz2bDZbBw8eDDz4xs3bqRRo0YEBQXRrFkzdu/enfmx1157jcjISL766isqVaqEv78/hmEQFxfHwIEDKV68OCEhIdx6661s2bIl83lbtmyhTZs2BAcHExISQsOGDdmwYUOWXAsXLqRmzZoULFiQDh06EBMTk/kxu93O66+/TtmyZfH39ycyMpIFC679S/z8+fOpVq0agYGBtGnTJsvneC19+vRh2bJlHD58OPPYV199RZ8+ffDxydl/ph999BGDBw+mUqVKOXqeiKfYHrudzcc3sz12u9VRxEESUxNJSE0gMTXR6igiIoBZLK/ed5o50UdZve/0FVcIvxLDMDhyNol5W2MYNX8nPT9bTd3XFtL+g+WMmLGVyWsOsfVIHGkZBmEF/GhdvRhPtq3KV/0bseGl21j5/K1E9WnAwFaVublSERXdcl36DslnPvzwQ/bs2UPt2rV5/fXXAShWrFhmYfriiy8yevRoihUrxqBBgxgwYAArV67MfP7evXuZPn06P/74I97e5pYGd955J2FhYcyfP5/Q0FA+++wz2rZty549ewgLC6NPnz7Ur1+f8ePH4+3tTXR0dJae8qSkJN5//32+/fZbvLy86Nu3L8888wxTpkzJzDx69Gg+++wz6tevz1dffUWXLl34888/qVq16mWf4+HDh7n77rsZNGgQjz32GBs2bODpp5/O1tenRIkS3H777XzzzTe89NJLJCUlMW3aNJYtW8akSZNy9TUXya/8vP0y/4i4L401F3FVC7bHMPKnHVnmV5cKDeDVzhF0qF0qy7lnzqeavdj/zMnecvgcp8+nXnbNQF9v6pQN/XdedtlClC0cqMXP5Iap8HaCMavHMGb1mOue16BUA+b2npvlWJfvu7ApZtN1nzu86XCGNx2e42yhoaH4+fkRFBREyZIlL/v4m2++yS233ALA888/z5133klycjIBAQEApKam8u2331KsWDEAfv/9d7Zt20ZsbCz+/v4AvP/++8yePZsZM2YwcOBADh06xIgRI6hRowbAZcVyWloan376KZUrVwZgyJAhmTcFLl7vueeeyxz+/c4777BkyRLGjh1LVFTUZZ/D+PHjqVSpEh988AE2m43q1auzbds23nnnnWx9jQYMGMDTTz/Niy++yIwZM6hcufJVF20Tkavb/+R+qyOI5Jp+xxZxbQu2x/DY5E2X3Ro7HpfMY5M3MbxdNQJ8vc0i+8g5Dp+5cNk1fLxs1CgVbO6VXdZc/KxK8YJ4a/EzcQIV3k4QnxLP0YSj1z2vXGi5y46dTDqZrefGp8TnKtv11K1bN/PfpUqZdwpjY2MpX748ABUqVMgsusEcmp6YmEiRIkWyXOfChQvs27cPgOHDh/Pwww/z7bffctttt3HvvfdmFtkAQUFBWR6XKlWK2NhYAOLj4zl27BjNmzfPcv3mzZtnGc7+Xzt37uTmm2/OcmeyadOm2f4a3HnnnTz66KMsX76cr776igEDBmT7uSIi4lm0uJqI68mwG4z8accVx6NcPDZ68Z7LPlapaAHqlTP3ya5XrhARpUII8PV2alaRi1R4O0GIfwhlgstc97xiQcWueCw7zw3xD8lVtuv57xDwi4Wr3W7PPHbpAmN2u51SpUqxdOnSy651cduu1157jfvuu4958+bxyy+/8OqrrzJ16lS6det22WtefF3jkt90Lh3eYxjGVYf8XPrcnPLx8eH+++/n1VdfZe3atcyaNeuGriciIiIijrPuwJkrbt91qUYVCtOmRnHqlS1EnbKhhAZ61qLA4l5UeDtBboeBA5cNPXcGPz8/MjIyHHKtBg0acPz4cXx8fKhYseJVz6tWrRrVqlXjqaeeonfv3nz99deZhfe1hISEULp0af744w9atWqVeXzVqlU0adLkis+JiIhg9uzZWY6tWbMmW5/PRQMGDOD999+nZ8+eFC5cOEfPFRER96f5nCKuKzbh+kU3wP1NK9A18vodWiJ5QYX3VURFRREVFeWwAtWVVKxYkbVr13Lw4EEKFixIWFhYrq9122230bRpU+666y7eeecdqlevzrFjx5g/fz533XUXtWrVYsSIEXTv3p3w8HCOHDnC+vXrueeee7L9GiNGjODVV1/NnGv99ddfEx0dnbn42qUGDRrE6NGjGT58OI8++igbN25k4sSJOfq8atasyalTpwgKCrrmeUePHr1sf+7y5csTFhbG3r17SUxM5Pjx41y4cCHzvIiICPz8tNiUeL4JGyeQmJpIQb+CDGw40Oo4IrmioeYirqd4cIBDzxPJCyq8r2Lw4MEMHjyY+Ph4QkNDrY7jUM888wz9+vUjIiKCCxcucODAgVxfy2azMX/+fF588UUGDBjAyZMnKVmyJK1ataJEiRJ4e3tz+vRpHnjgAU6cOEHRokW5++67GTlyZLZfY+jQocTHx/P0008TGxtLREQEc+fOveKK5mAWvj/++CNPPfUU48aNo0mTJrz11ls5nqt96bz1K3n//fd5//33sxz7+uuv6d+/Pw8//DDLli3LPF6/fn0ADhw4cM3RASKe4vVlr3M04Shlgsuo8BYREYdpEh5GqdAAjsclX3Getw0oGRpAk/Dcdy6JOJrNuNEJsR7uYuEdFxdHSEjWedXJyckcOHCA8PDwzFW/RXJL30/iacqOKZtZeB8ZfsTqOOIA+alNo5bs5b2Fu+nZqBzvdK97/SeISJ662qrmFyeJjO/b4LItxUQc7Vq14qXU4y0iIk7xaadPuZB2gUDfQKujiIPkxzY1tI+3iEvqULsU4/s24JU5fxKbkJJ5vORV9vEWsZoKbxERcYpO1TpZHUEcLD+1qdZWE3F9HWqXonaZUFq8swRvG0x++GaahIdpH25xSSq8RURERETELV0ssr28bDStfP31eUSs4mV1ABERERFXpZVwRNyDDfVyi2tTj7eIiDjF6aTT2A07XjYvigSpF8ITbDy2kdSMVPy8/WhYuqHVcZxKv8SLuAfdHBN3ocLbAex2u9URxAPo+0g8Tb1P6+WbFbDzi65Tu+a7NtXv9CIi4ggqvG+An58fXl5eHDt2jGLFiuHn54dNq7FIDhmGQWpqKidPnsTLyws/Pz+rI4mI5Hv6cS7iZvSeFRenwvsGeHl5ER4eTkxMDMeOHbM6jri5oKAgypcvj5eXll4Qz9CucjtOJ53WMHMREXEajUoRd6HC+wb5+flRvnx50tPTycjIsDqOuClvb298fHw0YkI8ytddv7Y6gsgN0/xRERFxBBXeDmCz2fD19cXX19fqKCIiIuIAug0q4l70nhVXpzGtIiIiIiLilgwNSxE3ocL7KqKiooiIiKBx48ZWRxERERGLGJpBKiIiDqCh5lcxePBgBg8eTHx8PKGhoVbHERFxO31m9uFU0imKBhVlyt1TrI4jkiNackPEveg9K65Ohfd1XBy+Eh8fb3ESERH3smTXEmISYigVXEr/h3oIe7IdksHua/f4Nr1wPgF7ShIp5xM9/nMVcWcJ8UnYU5LIsHvpvSp57uL3XHamPNgMTYy4piNHjlCuXDmrY4iIiIiIiIgLOnz4MGXLlr3mOSq8r8Nut3Ps2DGCg4Nddqun+Ph4ypUrx+HDhwkJCbE6jjiI2tUzqV09j9rUM6ldPZPa1TOpXT2TO7SrYRgkJCRQunRpvLyuvXyahppfh5eX13XvXriKkJAQl/2mlNxTu3omtavnUZt6JrWrZ1K7eia1q2dy9XbN7npgWtVcRERERERExIlUeIuIiIiIiIg4kQpvD+Dv78+rr76Kv7+/1VHEgdSunknt6nnUpp5J7eqZ1K6eSe3qmTytXbW4moiIiIiIiIgTqcdbRERERERExIlUeIuIiIiIiIg4kQpvERERERERESdS4S0iIiIiIiLiRCq8RURERERERJxIhbcLWLp0KRUrVrTktWfPns2hQ4cseW1Pp3b1TGpXz6R29UxqV8+jNvVMalfPpHbNSoW3ixo3bhzh4eEEBATQsGFDVqxY4ZRz5syZw7hx45z2eUhWjmiz5cuX07lzZ0qXLo3NZmP27NmXXUPtmrcc0WbZuY7aNW85ol31fnUtjnovZucctWvecFSb6r3qWhz1/yvovepKHNWu7vp+VeHtgqZNm8awYcN48cUX2bx5My1btuSOO+7IctfGUefcddddzJkzJ08/v/zKUW12/vx56tWrxyeffHLV11K75h1HtZner67FUe2q96trcdR7Ue9X1+GoNtV71bU46v9XvVddi6Pa1W3fr4ZYbsmSJUaFChUyHzdp0sQYNGhQlnNq1KhhPP/88w4/JykpyQgKCjJ2797tiE9F/sNZ7fpfgDFr1qzLjqtdnSc37fpfV2szvV+t5ax2zc45alfnubRd/+tG3ot6v1rHWW2aneuoTZ0nN+2anXP0XrWWs9o1O+e4Yruqx9vFpKamsnHjRtq3b5/lePv27Vm1apVDzwEIDAykXbt2rndHyMM4ss2yQ+2aNxzVZnq/uhZHvhezQ+3qOvTz1fPoZ2v+pfdq/uaK7arC28WcOnWKjIwMSpQokeV4iRIlOH78uEPPuahr164u9U3piRzdZtmhdnU+R7WZ3q+uxdHvxexQu7oG/Xz1PPrZmn/pvSqu1q4qvF2UzWbL8tgwjMuOOeqczp07s2bNGk6fPn2jseU6HNVm2aF2zTuOajO9X12Lo9o1O9SurkU/Xz2PfrbmX3qv5l+u1q4qvF1M0aJF8fb2vuxOXGxsbOYdO0edc9HRo0cpWLAgISEhjv505B+ObrPsULs6n6PaTO9X1+Lo92J2qF1dg36+eh79bM2/9F4VV2tXFd4uxs/Pj4YNG7J48eIsxxcvXkyzZs0ces5Fc+bMoWPHjvj6+jr605F/OLrNskPt6nyOajO9X12Lo9+L2aF2dQ36+ep59LM1/9J7VVytXX2sDiCXGz58OPfffz+NGjWiadOmTJgwgUOHDjFo0CCHnwPmBvPPPfdcnn1++ZWj2iwxMZG9e/dmPj5w4ADR0dGEhYVRvnz5zONq17zhqDbT+9W1OKpd9X51LY56L+r96joc1aZ6r7oWR/3/qveqa3FUu7rt+9WaxdTlv6601H5UVJRRoUIFw8/Pz2jQoIGxbNmyy57niHMOHTpk+Pn5GXFxcQ79nMR57bpkyRIDuOxPv379Ms9RuzpPbto1O22WneuoXZ3HWe2q96u1Lm1XR70Xs3OO2tU5nNWmeq9aKzftqp+trs9Z7equ71cV3i7gWnvcOdtHH31ktG/f3pLX9nRqV8+kdvVMalfPpHb1PGpTz6R29Uxq16w0xzufmzNnDl26dLE6hjiY2tUzqV09k9rVM6ldPY/a1DOpXT2TK7ar5njnc7/++qvVEcQJ1K6eSe3qmdSunknt6nnUpp5J7eqZXLFd1ePtAipWrMiwYcOsjiEOpnb1TGpXz6R29UxqV8+jNvVMalfPpHbNymYYhmF1CBERERERERFPpR5vERERERERESdS4S0iIiIiIiLiRCq8RURERERERJxIhbeIiIiIiIiIE6nwFhEREREREXEiFd4iIiIiIiIiTqTCW0RERERERMSJVHiLiIhT9O/fH5vNxqBBgy772OOPP47NZqN///55H8zDtG7dmmHDhnnca4mIiHgSFd4iIuI05cqVY+rUqVy4cCHzWHJyMt9//z3ly5e3MFn2pKamWh1BREREPIAKbxERcZoGDRpQvnx5Zs6cmXls5syZlCtXjvr162ceMwyDd999l0qVKhEYGEi9evWYMWNGlmstWLCAFi1aUKhQIYoUKUKnTp3Yt29flnNmzJhBnTp1CAwMpEiRItx2222cP38egIoVKzJ27Ngs50dGRvLaa69lPm7dujVDhgxh+PDhFC1alHbt2mUrW+vWrXniiScYNmwYhQsXpkSJEkyYMIHz58/z4IMPEhwcTOXKlfnll19y9Dm3bt2aoUOH8uyzzxIWFkbJkiWz5O3fvz/Lli3jww8/xGazYbPZOHjw4BXbIiUlhaFDh1K8eHECAgJo0aIF69evz/z49b4+V3stu93OO++8Q5UqVfD396d8+fK8+eab2X7d3Hztsvv1u9b3Q3YcPHgQm83GzJkzadWqFYGBgTRs2JCDBw+ydOlSmjRpQlBQEG3atOHMmTOWXTMvry8iIrlkiIiIOEG/fv2Mrl27GmPGjDHatm2bebxt27bGBx98YHTt2tXo16+fYRiG8b///c+oUaOGsWDBAmPfvn3G119/bfj7+xtLly7NfN6MGTOMH3/80dizZ4+xefNmo3PnzkadOnWMjIwMwzAM49ixY4aPj48xZswY48CBA8bWrVuNqKgoIyEhwTAMw6hQoYLxwQcfZMlYr14949VXX818fMsttxgFCxY0RowYYezatcvYuXNntrLdcsstRnBwsPHGG28Ye/bsMd544w3Dy8vLuOOOO4wJEyYYe/bsMR577DGjSJEixvnz57P9Od9yyy1GSEiI8dprrxl79uwxvvnmG8NmsxmLFi0yDMMwzp07ZzRt2tR45JFHjJiYGCMmJsZIT0+/YnsMHTrUKF26tDF//nzjzz//NPr162cULlzYOH36dLa+Pld7rWeffdYoXLiwMXHiRGPv3r3GihUrjM8//zzbr5ubr112vn7X+37IjlmzZhmA0bZtW2PFihXG5s2bjQoVKhgtWrQwOnToYKxbt85Yu3atUaRIEePdd9+17Jp5eX0REckdFd4iIuIUFwvvkydPGv7+/saBAweMgwcPGgEBAcbJkyczC+/ExEQjICDAWLVqVZbnP/TQQ0bv3r2vev3Y2FgDMLZt22YYhmFs3LjRAIyDBw9e8fzsFt6RkZGZj7Ob7ZZbbjFatGiR+Tg9Pd0oUKCAcf/992cei4mJMQBj9erVub6uYRhG48aNjeeeey7LOU8++eQVP+f/fh6+vr7GlClTMo+lpqYapUuXziy+svv1+e9rxcfHG/7+/lkK7Zy+bk6/dheve72v3/W+H7LjtddeMwoXLmycPHky81j//v2N8uXLG4mJiZnHOnToYAwfPtwwDMNYsWKF8dZbbzn0mrNmzTKGDRvmtMyzZs267veQiIjcGB/r+tpFRCQ/KFq0KHfeeSfffPMNhmFw5513UrRo0cyP79ixg+TkZNq1a5fleampqVmGo+/bt4+XX36ZNWvWcOrUKex2OwCHDh2idu3a1KtXj7Zt21KnTh1uv/122rdvT/fu3SlcuHCO8jZq1CjH2QDq1q2b+W9vb2+KFClCnTp1Mo+VKFECgNjY2FxfF6BUqVLExsbm6HPat28faWlpNG/ePPOYr68vTZo0YefOnTm61n/t3LmTlJQU2rZte0Ovm5OvHWSvXRzx/RAdHU2XLl2yfL8eOnSI3r17U6BAgSzH7rzzTgBatGhBixYtHHrNrVu3Uq9ePadl3rp162XfZyIi4lgqvEVExOkGDBjAkCFDAIiKisrysYsF9Lx58yhTpkyWj/n7+2f+u3PnzpQrV47PP/+c0qVLY7fbqV27duYCaN7e3ixevJhVq1axaNEiPv74Y1588UXWrl1LeHg4Xl5eGIaR5fppaWmXZf1vcZLdbGAWlP9ls9myHLPZbJnXvNHrXnx+dl38vC9m+O/xi8ey+/X5r8DAwBt+XcjZ1+6/f1/r63e974fs2LJlC88++2yWY9HR0Znfy2AuFrhnzx4iIyMB6NatG6+++mrmY0dcc+vWrXTp0oW4uDj69OlDt27deOihhxx6/Y4dO1716yAiIjdOi6uJiIjTdejQgdTUVFJTU7n99tuzfCwiIgJ/f38OHTpElSpVsvwpV64cAKdPn2bnzp289NJLtG3blpo1a3L27NnLXsdms9G8eXNGjhzJ5s2b8fPzY9asWQAUK1aMmJiYzHPj4+M5cODANXNnJ1tuOPK6fn5+ZGRkXPOcKlWq4Ofnxx9//JF5LC0tjQ0bNlCzZk0ge1+fS1+ratWqBAYG8ttvv+X6dXMju1+/a30/XE98fDwHDx7MMgLh77//5syZM1mO/fnnn2RkZGT2SO/cufOqn1tur7lr1y78/f3p0KEDw4YNu2rRndvr//nnn9SqVStbXxcREckd9XiLiIjTeXt7Zw4t9vb2zvKx4OBgnnnmGZ566insdjstWrQgPj6eVatWUbBgQfr160fhwoUpUqQIEyZMoFSpUhw6dIjnn38+y3XWrl3Lb7/9Rvv27SlevDhr167l5MmTmUXQrbfeysSJE+ncuTOFCxfm5ZdfvizLpbKTLTcced2KFSuydu1aDh48SMGCBQkLC8PLK+t99QIFCvDYY48xYsQIwsLCKF++PO+++y5JSUmZRVx2vj5Xeq3nnnuOZ599Fj8/P5o3b87Jkyf5888/eeihh7L1us76+l3v++F6tmzZgpeXV5Yh2NHR0RQqVIiKFStmOa9SpUoEBwdz/vx5fHx8Lhu1cCPXTEpK4tixY/Tu3ZspU6Zcs0DO7fW9vLyuO3pBRERujApvERHJEyEhIVf92BtvvEHx4sUZNWoU+/fvp1ChQjRo0ID//e9/gDkMeurUqQwdOpTatWtTvXp1PvroI1q3bp3l+suXL2fs2LHEx8dToUIFRo8ezR133AHACy+8wP79++nUqROhoaG88cYb1+3xzk623HLUdZ955hn69etHREQEFy5c4MCBA1mKrIvefvtt7HY7999/PwkJCTRq1IiFCxdmznnOztfnSq/18ssv4+PjwyuvvMKxY8coVaoUgwYNyvbr5tb1vn7X+364ni1btlCjRo0sBenmzZsvm2u9ZcuWzCHb27dvp3bt2pkfmzhxIg8++GDmkPvcXvPmm2/m6NGjlw3Jd9T11dstIuJ8NuPSCV0iIiIikmNffPEFJ06c4MUXXwTgtddeY+nSpSxduvSGrnny5Enat2/PwIEDWb58eeY6BI66/vHjx3nppZdyfQ0REbk+zfEWERERcYBt27ZlWY194cKFvPvuuzd8zdq1a9OwYUMGDhzIww8/7PDra0VzERHnU4+3iIiIiAM0aNCAefPmUapUKaujiIiIi1GPt4iIiMgNSE1NpUGDBnTo0EFFt4iIXJF6vEVEREREREScSD3eIiIiIiIiIk6kwltERERERETEiVR4i4iIiIiIiDiRCm8RERERERERJ1LhLSIiIiIiIuJEKrxFREREREREnEiFt4iIiIiIiIgTqfAWERERERERcSIV3iIiIiIiIiJOpMJbRERERERExIlUeIuIiIiIiIg4kQpvERERERERESdS4S0iIiIiIiLiRCq8RURERERERJxIhbeIiIiIiIiIE6nwFhEREREREXEiFd4iIiIiIiIiTqTCW0RExM2tWbOGe++9l1KlSuHn50epUqXo0aMH69evv6Hr2mw2hgwZct3zli5dis1mY+nSpZnH5s+fz2uvvZbr1+7bty82m41OnTrl+hoiIiKuQoW3iIiIG/v4449p3rw5R44c4d133+XXX3/lvffe4/Dhw9x8881MmDDB6RkaNGjA6tWradCgQeax+fPnM3LkyFxdb968ecyePZuQkBBHRRQREbGUj9UBREREJHdWrlzJsGHD6NixI7NmzcLH598f67169aJbt248/vjj1K9fn8aNGzstR0hICDfffLNDrhUXF8ejjz7KG2+8wYcffuiQa4qIiFhNPd4iIiJuatSoUdhsNsaPH5+l6Abw8fFh3Lhxmedd1L9/fypWrHjZtV577TVsNtsVX+ezzz6jWrVq+Pv7ExERwdSpU7N8/NKh5v379ycqKgowh6tf/HPw4MHrfk5PP/00pUqVYujQodc9V0RExF2ox1tERMQNZWRksGTJEho1akTZsmWveE65cuVo2LAhv/76K3a7HS+vnN9vnzt3LkuWLOH111+nQIECjBs3jt69e+Pj40P37t2v+JyXX36Z8+fPM2PGDFavXp15vFSpUtd8rV9//ZVJkyaxfv16vL29c5xVRETEVanwFhERcUOnTp0iKSmJ8PDwa54XHh7OunXrOHPmDEWLFs3V66xfv54SJUoA0LFjR2rXrs0LL7xw1cK7cuXKmedndwh6YmIijzzyCM888wz16tXLcU4RERFXpqHmIiIiHswwDICrDiO/nrZt22YW0QDe3t707NmTvXv3cuTIEYdkBHj++efx9fXllVdecdg1RUREXIV6vEVERNxQ0aJFCQoK4sCBA9c87+DBgwQGBlKkSJFcvU7JkiWveuz06dNXHeaeE+vWrWPcuHHMnDmT5ORkkpOTAbDb7aSnp3Pu3DkCAwPx9/e/4dcSERGxgnq8RURE3JC3tze33norGzZsuGrP85EjR9i4cSO33npr5rGAgABSUlIuO/fUqVNXvMbx48eveiy3xfylduzYgWEYdOvWjcKFC2f+OXz4MAsXLqRw4cKMHz/eIa8lIiJiBfV4i4iIuKnnn3+e+fPn8/jjjzNr1qwsC5JlZGTw2GOPkZGRwZNPPpl5vGLFisTGxnLixInMIeSpqaksXLjwiq/x22+/ZTk3IyODadOmUbly5Wv2dl/snb5w4QKBgYHX/Dw6dOjAkiVLLjveq1cvwsPDGTVqFFWqVLnmNURERFyZCm8RERE31bx5c8aOHcuTTz5JixYtGDJkCOXLl+fQoUNERUWxevVqXnvtNdq1a5f5nJ49e/LKK6/Qq1cvRowYQXJyMh999BEZGRlXfI2iRYty66238vLLL2euar5r167LthS7VJ06dQB45513uOOOO/D29qZu3br4+flddm7JkiWvOKQ9ICCAIkWK0Lp16xx8VURERFyPCm8RERE39sQTT9CoUSNGjx7N008/zcmTJ7Hb7QQEBDBv3jw6duyY5fzw8HDmzJnD//73P7p3706pUqUYPnw4J0+eZOTIkZddv0uXLtSqVYuXXnqJQ4cOUblyZaZMmULPnj2vmeu+++5j5cqVjBs3jtdffx3DMDhw4MAV9xAXERHxdDbj4nKnIiIi4hEmTZpEv379ePbZZ3nnnXesjiMiIpLvqcdbRETEwzzwwAPExMTw/PPPU6BAAW3RJSIiYjH1eIuIiIiIiIg4kbYTExEREREREXEiFd4iIiIiIiIiTqTCW0RERERERMSJVHiLiIiIiIiIOJFWNb8Ou93OsWPHCA4OxmazWR1HREREREREXIBhGCQkJFC6dGm8vK7dp63C+zqOHTtGuXLlrI4hIiIiIiIiLujw4cOULVv2mueo8L6O4OBgwPxihoSEWJxGREREREREXEF8fDzlypXLrBmvRYX3dVwcXh4SEqLCW0RERERERLLIzpRkLa4mIiIiIiIi4kQqvEVEREREREScSIW3iIiIiIiIiBOp8BYRERERERFxIhXeIiIiIiIiIk6kwltERERERETEiVR4i4iIiIiIiDiRCm8RERERERERJ1LhLSIiIiIiIuJEKrxFREREREREnEiFt4iIiIiIiIgTqfAWERERERERcSIV3iIiIiIiIiJOlC8K759//pnq1atTtWpVvvjiC6vjiIiIiIiISD7iY3UAZ0tPT2f48OEsWbKEkJAQGjRowN13301YWJjV0URERERERCQf8Pge73Xr1lGrVi3KlClDcHAwHTt2ZOHChVbHcpgMu8HqfaeZE32U1ftOk2E3rI4kIiIiIiIi/+Hyhffy5cvp3LkzpUuXxmazMXv27MvOGTduHOHh4QQEBNCwYUNWrFiR+bFjx45RpkyZzMdly5bl6NGjeRHd6RZsj6HFO7/T+/M1PDk1mt6fr6HFO7+zYHuM1dFERERERETkHy5feJ8/f5569erxySefXPHj06ZNY9iwYbz44ots3ryZli1bcscdd3Do0CEADOPyHmCbzebUzHlhwfYYHpu8iZi45CzHj8cl89jkTSq+RUREREREXITLz/G+4447uOOOO6768TFjxvDQQw/x8MMPAzB27FgWLlzI+PHjGTVqFGXKlMnSw33kyBFuuummq14vJSWFlJSUzMfx8fEO+CwcK8NuMPKnHVxpULkB2ICRP+2gXURJvL3c/yaDiLinRfsWkZyeTIBPAO0rt7c6jjjAhI0TSExNpKBfQQY2HGh1HBEREbfh8j3e15KamsrGjRtp3z7rL3Tt27dn1apVADRp0oTt27dz9OhREhISmD9/PrfffvtVrzlq1ChCQ0Mz/5QrV86pn0NurDtw5rKe7v8ygJi4ZNYdOJN3oURELjFgzgC6Tu3KgDkDrI4iDvL6std5etHTvL7sdaujiIiIuBW3LrxPnTpFRkYGJUqUyHK8RIkSHD9+HAAfHx9Gjx5NmzZtqF+/PiNGjKBIkSJXveYLL7xAXFxc5p/Dhw879XPIjdiEqxfduTlPREREREREnMflh5pnx6Vztg3DyHKsS5cudOnSJVvX8vf3x9/f36H5HK14cIBDzxMRcYbnWzxPQkoCwf7BVkcRERERsZRbF95FixbF29s7s3f7otjY2Mt6wT1Jk/AwSoUGcDwu+YrzvG1AydAAmoRrr3IRsc6QJkOsjiAiIiLiEtx6qLmfnx8NGzZk8eLFWY4vXryYZs2a3dC1o6KiiIiIoHHjxjd0HWfw9rLxaucIwCyyL2UAr3aO0MJqIiIiIiIiLsDlC+/ExESio6OJjo4G4MCBA0RHR2duFzZ8+HC++OILvvrqK3bu3MlTTz3FoUOHGDRo0A297uDBg9mxYwfr16+/0U/BKTrULsX4vg0oGXrl4eRhBVx7uLyIiIiIiEh+4fJDzTds2ECbNm0yHw8fPhyAfv36MXHiRHr27Mnp06d5/fXXiYmJoXbt2syfP58KFSpYFTnPdKhdinYRJVl34AyxCckUDw7ghw2Hmbn5KE9Ni+aXYS0JCfC1OqaIiIiIiEi+ZjMM40rThOUf8fHxhIaGEhcXR0hIiNVxrishOY2OH63g8JkL3BVZmrG96lsdSUTyqRqf1OBYwjFKB5dm15BdVscRByg7pixHE45SJrgMR4YfsTqOiIh4KnsG/L0KEk9AwRJQoRl4eVud6jI5qRVdfqi5VVx5jve1BAf4MrZnJF42mB19jDnRR62OJCL5VGJqIgmpCSSmJlodRURERNzFjrkwtjZ80wl+fMj8e2xt87gbU+F9Fa4+x/taGlYI44lbqwLw0uztHDmbZHEiEcmPqhWpRkSxCKoVqWZ1FHEQtamIiDjVjrkw/QGIP5b1eHyMedyNi28NNb8OdxtqflF6hp17P1vN5kPnaBIexveP3KxVzkVERERExDXZM8ye7UuL7kw2CCkNw7a5zLBzDTUXfLy9GNszkgJ+3qw7cIbPlu+zOpKIiIiIiMiV/b3qGkU3gAHxR83z3JAKbw9WoUgBXu1SC4Axi/aw7UicxYlERERERESuIPGEY89zMSq8r8JdF1e71L0Ny3JH7ZKk2w2enLaZC6kZVkcSERERERH5V9xRiP4+e+cWLOHcLE6iOd7X4a5zvP/r7PlUOny4nBPxKfS5qTxvdqtjdSQRyQde/O1FziWfo1BAId5s+6bVccQB+szsw6mkUxQNKsqUu6dYHUdERNxdcjysHAurx0H6heucrDne4uIKF/Bj9L2RAExZe4hfd7jn8AwRcS/fbPmGcRvG8c2Wb6yOIg6y7OAyFu1bxLKDy6yOIiIi7iwjDdZ9Dh/VhxWjzaK7fFNo+xpg++fPf/3zuMPbLlN055QK73yiRdWiPNwiHIDnftzKyYQUixOJiIiIiEi+Yhiw8ycYdzPMfwaSTkGRKtBzCjz4C7R8CnpMgpBSWZ8XUto8HtHFmtwO4GN1AMk7IzpU54+9p9h1PIFnZ2zhq/6Nsdm0xZiIOMcvfX4hzZ6Gr5ev1VFERETEakc2wKKX4NBq83FQUWj9PDTsD97/+V0hogvUuNNcvTzxhDmnu0Izt+3pvkiFdz7i7+PNR73r0+njP1iy+yTfrvmbB5pWtDqWiHioOiW0noSIiEi+d2Y//PY6/DnLfOwTCE0HQ/MnIeAq86K9vCG8Zd5lzAMaan4VnrKq+aWqlQjmhTtqAPDmvJ38dSLB4kQiIiIiIuJxks7Aghfgkyb/FN02iOwLT2yEti9fvej2UCq8r2Lw4MHs2LGD9evXWx3F4fo3q0irasVISbczdGo0KenaYkxERERERBwgLRlWfggfRsKacWBPg8ptYdAfcFcUhJaxOqElVHjnQzabjfe71yWsgB87Y+IZvWiP1ZFExANtPLaR1YdXs/HYRqujiIiIiLPZ7bB1OnzSGBa/AilxUKI29J0J98+EkrWtTmgpzfHOp4qHBPD23XUY+O1GPl+xn9bVitGsSlGrY4mIB+k6tStHE45SJrgMR4YfsTqOiIiIOMuB5bDoZYiJNh8Hl4ZbX4J6vdx+UTRHUY93Pta+Vkl6NymHYcDw6Vs4l5RqdSQREREREXEXsbtgSg/4prNZdPsFw60vm/O46/dR0f0f6vHO517uFMGa/Wc4cOo8L87azif31dcWYyLiEI80eIS4lDhC/UOtjiIOojYVEREAEo7D0lGwaRIYdvDygYYPwi3PQcFiVqdzSTbDMAyrQ7iiqKgooqKiyMjIYM+ePcTFxRES4pkr7205fI57xq8i3W7w/r316N6wrNWRRERERETE1aQkwqqPzT9p581jNTrBbSOhaBVrs1kgPj6e0NDQbNWKKryvIydfTHf2ye9/8f6iPRTw8+aXJ1tRvkiQ1ZFERERERMQVZKRD9GRY8hYknjCPlWkE7f8PKjS1NpuFclIrao63APBY6yo0rliY86kZDJu2mfQMu9WRRERERETESoYBexbCp83hpyfNortwRbh3Ijz8a74uunNKhbcA4O1lY0yPSIL9fdh06BxRS/ZZHUlERERERKxyLNpcNO27HnByFwQWhg5vw+D1UKsbaF2oHFHhLZnKhQXx+l21APjo97/YdOisxYlExJ21+KoFVT6qQouvWlgdRRyk7Jiy2EbaKDtGa4GIiHisc4fgx0dgwi1wcAV4+0OzoTA0Gm5+DHz8rE7ollR4SxZ3RZahc73SZNgNnpoWTWJKutWRRMRNHTx3kH1n93Hw3EGro4iIiMj1XDhn7sX9cSPYNt08VqcHPLEB2r8BgYWsTOf2VHhLFjabjf+7qzalQwP4+3QSr//0p9WRRMRNhQWGUTSoKGGBYVZHERERkatJT4XV4+CjSFj1EWSkQMWWMHAp3PM5FCpvdUKPoH285TKhgb6M6RlJ78/XMH3DEW6tUZwOtUtZHUtE3MzWx7ZaHUFERESuxjBgx2z49TU4e9A8VqwGtHsdqrbXHG4HU4/3VURFRREREUHjxo2tjmKJmysV4dFWlQF4fuY2jsclW5xIREREREQc4tAa+LId/NDfLLoLloDOH8KglVDtdhXdTqDC+yoGDx7Mjh07WL9+vdVRLDO8XTVqlwnhXFIaz/ywBbtdW76LiIiIiLitU3thah/46nY4sh58C0DrF+CJTdCwP3hrQLSzqPCWq/Lz8WJsz/oE+Hrxx95TfLXygNWRREREREQkp86fgnnPwLibYNfPYPMyC+2hm6D18+Bf0OqEHk+3NOSaqhQvyEt3RvDS7O28u2A3zasUpWapEKtjiYgbGLN6DPEp8YT4hzC86XCr44iIiOQ/qUmwZhz8MRZSE8xj1TrAba9B8ZpWJst3VHjLdfW5qTxLd8fy685Yhk2NZs6Q5gT4elsdS0Rc3JjVYziacJQywWVUeIuIiOQlewZsmQq//x8kHDOPlaoH7f8PwltZmy2f0lBzuS6bzcbb99SlaEE/dp9I4J0Fu6yOJCIiIiIiV7L3N/jsFpjzuFl0h5aDuz+HR5aq6LaQerwlW4oW9Oe97vV4cOJ6vl55kDbVi9OqWjGrY4mIC5t892RS0lPw9/G3Ooo4iNpURMSFHd8Oi1+Gfb+bj/1DodXT0ORR8A2wNptgMwxDS1VfQ3x8PKGhocTFxRESornNr8zZzqTVf1Ms2J+Fw1oRVsDP6kgiIiIiIvlX/DH4/U2IngIY4OULTR6BViMgKMzqdB4tJ7WihppLjvyvY02qFC/IyYQUnv9xK7pvIyIiIiJigeR4+O0N+KgBRE8GDKjVDYasgw6jVHS7GBXekiMBvt582CsSX28bi3acYNr6w1ZHEhERERHJPzLSYN3n8FF9WPE+pF+A8k3h4d/g3okQVsnqhHIFmuN9FVFRUURFRZGRkWF1FJdTq3Qoz7SvzqhfdjHypx3cVKkI4UULWB1LRFzMgbMHyDAy8LZ5E1443Oo44gBLDy7NnOPdumJrq+OIiOQvhgG75sGvr8LpveaxIlXgtpFQ406w2azNJ9ekOd7XoTneV2a3G/T5Yi2r95+mXtlQZjzWDF9vDaAQkX+VHVM2czuxI8OPWB1HHEBtKiJikSMbYNHLcGiV+TioKLR+Hhr2B29fS6PlZ5rjLU7n5WVjdI96hAT4sOVIHB/99pfVkUREREREPMuZA/BDf/iirVl0+wRAy6dh6GZzATUV3W5DQ80l10oXCuStu+sw5LvNRC3ZS6tqxWhcUYs4iIipW41unE0+S+GAwlZHERERcS9JZ2D5+7BuAtjTABtE3gdtXoTQMlank1xQ4S03pFPd0vy+K5aZm47y1LRo5j/ZkpAA3XkTEfi448dWRxAREXEvacmw7jNYMRqS48xjlW+Fdq9DyTrWZpMboqHmcsNGdqlFubBAjpy9wGtz/rQ6joiIiIiIe7HbYesP8EljWPyKWXSXqA19Z8L9s1R0ewAV3nLDggN8+aBHJF42mLn5KD9tOWZ1JBERERER93BgBXzeBmY+DHGHILg0dB0Hjy6HKm2tTicOosJbHKJRxTCGtKkCwIuztnHs3AWLE4mIiIiIuLDYXfBdT/imE8REg18w3PoyPLER6vcBL2+rE4oDaY63OMwTbauy7K9TbDl8juHTo5ny8M14e2k/QZH8qsv3XTiZdJJiQcWY23uu1XFERERcQ8IJWPoWbJoEhh1s3tBoANzyHBQsZnU6cRL1eIvD+Hp78WHPSIL8vFmz/wyfr9hvdSQRsdCmmE2sObKGTTGbrI4iIiJivdTzsPRt+Kg+bJxoFt01OsHgtXDn+yq6PZwKb3GoikUL8GrnCABGL9rN9qNxFicSEREREbFQRrpZaH9UH5aOgrTzUKYRPLgAek2BolWtTih5wGYYhmF1CFcWHx9PaGgocXFxhISEWB3HLRiGwaDJG1n45wkqFSvAvCdaEuinOSoiIiIiko8YBvy12Fyl/ORO81jhinDbaxBxF9g0JdPd5aRWVI+3OJzNZuPtu+tSPNif/SfP8+b8HVZHEhERERHJO8eiYVIX+O5es+gOLAy3j4LB66BWNxXd+ZAKb3GKwgX8GN2jHgCT1xzit50nLE4kIiIiIuJk5w7DzIEw4RY4sBy8/aHZUBgaDU0fBx9/qxOKRVR4i9O0rFqMAc3DAXh2xlZOJqRYnEhERERExAkunDOHlH/cELZOM4/V6QFPbID2b0BgISvTiQvQdmJXERUVRVRUFBkZGVZHcWvPdqjOqn2n2HU8gWdnbOGr/o2xaWiNSL4wMXoi51PPU8CvAP0j+1sdRxxg5NKRxKXEEeofyqutX7U6joiI9dJTYcOXsOxduHDGPFaxpVlsl65vbTZxKVpc7Tq0uNqN23U8ni6frCQ13c4bXWtxf9OKVkcSkTxQdkxZjiYcpUxwGY4MP2J1HHEAtamIyD8MA3bMhl9HwtkD5rFiNaDd61C1veZw5xNaXE1cSo2SITzXoQYA/zdvJ3tjEyxOJCIiIiKSS4fWwJft4If+ZtFdsAR0/hAGrYRqt6volivSUHPJEw82q8jS3bGs+OsUT06NZtbjzfHz0X0fEU/20R0fkZSWRJBvkNVRREREbtypvfDrq7DrZ/OxbxA0fxKaDgH/gtZmE5enwlvyhJeXjffvrUeHscv581g8oxfv5oU7alodS0Sc6O6ad1sdQURE5MadPwXL3oENX4E9HWxeUP9+aPM/CC5pdTpxE+pylDxTIiSAUXfXBWDC8v2s3nfa4kQiIiIiIleRdgFWjIYPI2HdBLPorno7PLYKunykoltyRIW35KkOtUvSq3E5DAOGT48mLinN6kgiIiIiIv+yZ0D0d+bWYL+9DqkJUKoe9PsJ+kyH4hq1KTmnwlvy3MudIqhYJIiYuGRenL0NLawv4pkSUhKIT4knIUULKoqIiJvY9zt8dgvMfgzij0JoObj7c3hkKYS3sjqduDEV3pLnCvj7MLZXfby9bPy8NYZZm49aHUlEnKBmVE1C3w6lZpR6BkRExMUd3w7f3g3fdoMT28A/1NwabMgGqNsDvFQ2yY3Rd5BYIrJcIYa1rQrAK3P+5PCZJIsTiYiIiEi+E38MZg+GT1vAvt/AyxdufhyejDZXLPcNsDqheAitai6WebxNFZbtOcmGv8/y1LRopg68GR9v3QsS8RS3VLyFU0mnKBpU1Ooo4iBqUxHxGCkJsPJDWPUJpF8wj9XqBm1fgbBK1mYTj2QzNMH2muLj4wkNDSUuLo6QkBCr43icw2eSuOPDFSSmpPN0u2o88U8vuIiIiIiIw2WkwcaJsPRtSDplHivfFNr/H5RtZGk0cT85qRXVvSiWKhcWxOtdawEw9re/iD58ztpAIiIiIuJ5DAN2zYNxTWH+M2bRHVYZek6BB39R0S1Op8JbLNetfhk61S1Fht1g2NTNnE9JtzqSiIiIiHiKIxvh644w9T44/RcEFYWO78PgtVCzE9hsVieUfEBzvMVyNpuNN++qw6a/z3LwdBJv/LyDt++pa3UsERHJr+wZ8PcqSDwBBUtAhWbg5W11KhG5kmu9X88cMPfh/nOm+dgnAJoOhubDIEBTSCVvqfAWlxAa5MvoHpHc98Uapq4/TOvqxelQu6TVsUTkBjw450FOJ52mSFARvu76tdVxxAFu/eZWTpw/QYkCJfi93+9Wx3GOHXNhwXPmSscXhZSGDu9ARBfrconI5a72fr31ZXN7sHUTwJ4G2CDyPmjzIoSWsSyu5G8qvMVlNK1chIGtKvHZsv28MHMr9csXokSItnAQcVeL9y3maMJRygTrlxxPsef0Ho4mHCUuOc7qKM6xYy5MfwC4ZN3Z+BjzeI9JKr5FXMVV36/HYPZj/z6ufKu5H3fJOnkaT+RSmuMtLuXpdtWpVTqEs0lpPPPDFux2LbovIiJ5wJ5h9pxd+ks8/HtswfPmeSJirWu+X//h5Qv3/QD3z1LRLS4hXxTe3bp1o3DhwnTv3t3qKHIdfj5efNgrEn8fL1b8dYqJqw5aHUlEcmnLoC3EPhPLlkFbrI4icn1/r8o6XPUyBsQfNc8TEWtd9/2KOcTcNzBv8ohkQ74ovIcOHcqkSZOsjiHZVKV4MC/dWROAtxfsYtfxeIsTiUhuFAkqQrECxSgSVMTqKCLXl3jCseeJiPPo/SpuKF8U3m3atCE4ONjqGJIDfW+uwK01ipOabmfY1GiS0zS0T0REnKhgCceeJyLOU7B4Ns/T+1Vch+WF9/Lly+ncuTOlS5fGZrMxe/bsy84ZN24c4eHhBAQE0LBhQ1asWJH3QSVP2Ww23rmnLkUK+LHreALvLdxtdSQREfFkpeubWw1di08glKqXN3lE5MrSkiH6u+ucZIOQMubWYiIuwvLC+/z589SrV49PPvnkih+fNm0aw4YN48UXX2Tz5s20bNmSO+64g0OHDmWe07BhQ2rXrn3Zn2PHrjP3Q1xasWB/3u1u7uf95R8HWPHXSYsTiUhO/LznZ3748wd+3vOz1VFEri3pDEzpDunJ1z4v/QJ8fYe5N7CI5L24o+Z7cMv3gO2fg7ZLTvrncYe3/93PW8QFWL6d2B133MEdd9xx1Y+PGTOGhx56iIcffhiAsWPHsnDhQsaPH8+oUaMA2Lhxo8PypKSkkJKSkvk4Pl7zi63UtmYJ+t5cnslrDvHMD1tY8GQrChfwszqWiGTDoJ8HZW4ndmT4EavjiFzZucMw+R44tRv8Q6HZYNg48ZJ9gctAwwfNPYFPbIcJreHer81tikQkb/y92tw+7HwsBBaG7l9DSsKV9/Hu8La2/hOXY3nhfS2pqals3LiR559/Psvx9u3bs2qVc1YVHTVqFCNHjnTKtSV3XuwYwep9p9l38jwvzNzG+L4NsNkuvbspIiKSQyf+NIvuhBgILg19f4QSEdDyGXPV5MQT5hzRCs3MnrPI+2D6/XB0o/m820ZCsydAP5NEnGv9l/DLs2BPhxK1odcUKFzR/FiNO6/8fhVxMS5deJ86dYqMjAxKlMi6MEKJEiU4fvx4tq9z++23s2nTJs6fP0/ZsmWZNWsWjRs3vuK5L7zwAsOHD898HB8fT7ly5XL3CYhDBPp582Gv+nQbt5IFfx7nhw1H6NFYbSLi6l655RUSUxMp6FfQ6ijiIB7VpgdWwNT7ICUeitUwi+7QsubHvLwhvOXlzwktA/3nw7ynIXoyLH4ZYrZAl4/BLyhv84vkB+kpMH8EbPrGfFyrG3SNAr8C/55ztferiItx6cL7okt7Nw3DyFGP58KFC7N9rr+/P/7+/tk+X/JG7TKhDG9XnXcW7OK1n/6kSXgYFYsWuP4TRcQyAxsOtDqCOJjHtOn2mTDrUchIhfLNoPd35tDV7PANgK6fQOlIWPA8bJ9hDlPvOQUKV3BqbJF8JT7GHFp+ZB1gg9tehebDNMJE3Jbli6tdS9GiRfH29r6sdzs2NvayXnDxfANbVeKm8DCSUjMYNi2atAy71ZFERMTdrBkPMwaYRXfNLnD/rOwX3RfZbNDkEXhgLhQoBse3mfO+9y91RmKR/OfwevM9dWQdBIRCnxnQ4ikV3eLWXLrw9vPzo2HDhixevDjL8cWLF9OsmXO3B4iKiiIiIuKqQ9Il73l72RjTM5LgAB+iD5/j49/3Wh1JRETchd0Oi14ye6kxoPEjcO9Eswc7tyo2h4FLza3ILpyBb7vB6igwDAeFFsmHNn4DEztC4nEoVhMeWQJVb7M6lcgNs7zwTkxMJDo6mujoaAAOHDhAdHR05nZhw4cP54svvuCrr75i586dPPXUUxw6dIhBgwY5NdfgwYPZsWMH69evd+rrSM6UKRTIm93qAPDJ73+x8e8zFicSEck/YhJiOBJ/hJiEGKuj5Ex6qjm0fNXH5uO2r0LH9xyzAFNoWXjwF6h3Hxh2WPg/mDkQ0i7c+LVF8pP0VHP9hJ+G/jMipTM8vBiKVLY6mYhD2AzD2tuyS5cupU2bNpcd79evHxMnTgRg3LhxvPvuu8TExFC7dm0++OADWrVqlSf54uPjCQ0NJS4ujpCQkDx5Tbm+p6ZFM2vzUcoWDuSXJ1sSHOBrdSQRuUSlDytlbie2/8n9VscRByg7pqz7bRGXHG+uRL5/KXj5QJdPILK341/HMGDtZ2bhbWRAqXrmvO9CWgxU5LoSY8353IdWAza49UVo8TR4Wd5HKHJNOakVLS+8XZ0Kb9cUn5zGHWNXcPTcBe5uUIYxPSKtjiQil3DLIk2uye3aNOE4TOluzsH2LQA9J0EVJw9ZPbACfugHSachqAjc+41WXBa5lqMbYWpfSDgG/iFw9+dQvYPVqUSyJSe1om4jXYXmeLu2kABfxvaKxMsGMzcd5eetx6yOJCKXqF28NvVL1qd28dpWR5H86NRf8GU7s+guUAwenOf8ohvMInvgUihZ1yy+J3U1F3RTP4fI5aK/g6/uMIvuotXgkd9VdIvHUo/3dajH27WNXrSbj3/fS0iADwuGtaJ0oUCrI4mIeCy36fE+vA6+6wEXzkJYJeg7E8LC8zZD2gX46UnYOs18XK83dPoAfPVzSoSMNHOxw7Wfmo+rd4Run0GAftcW96Ieb8k3hratSr1yhYhPTufp6Vuw23UfSUQkX9s1H77pYhbdpRvAQ4vzvugGs8Du9hncPgps3rDle/iqA8S58A0Lkbxw/pS5A8DFovuW5831EFR0i4dT4S1uzdfbi7E9Iwny82b1/tN8vkILOImI5FsbJ8K0PpB+Aaq2h/4/Q4Gi1uWx2aDp4//sFR4GMdHw2S1wcKV1mUSsdCza3J/74ArwK2gW3G1e0CJqki/ou1zcXnjRArzSKQKA9xftZvvROIsTiYhInjIMWDLKHNpt2KF+X+j1PfgVsDqZqdIt/8z7rgNJp2BSF1g7QfO+JX/ZOh2+uh3iDkNYZXj4N6jZyepUInlGhfdVaHE199KzcTnaR5QgLcNg2LRoLqRmWB1JJN8bsWgED899mBGLRlgdRTxZRrq57++yt83HrZ41twzz9rE216UKV4ABi6B2d7Cnwy8jYM4QSEu2OpmIc2Wkw8IXYeYjkJ5sjkZ55HcoXsPqZCJ5SourXYcWV3MfZ86n0mHscmITUnigaQVe76qVlEWs5DYLcUm2uVybpp6HGQNgzwKwecGdo6HRAKtTXZthwOpPYPErZu98mYbQ41sILWN1MhHHSzoDMx6E/UvNxy2fgTb/Ay9vS2OJOIoWV5N8KayAH+/fWw+ASav/ZsmuWIsTiYiI05w/ZS6itmcB+ARAz8muX3SDOe+72RPQ90cILGzuYTyhNfy92upkIo51fJv5vb1/KfgWMPe0b/uyim7Jt9TjfR3q8XY/I3/6k69XHqRoQT8WDGtF0YL+VkcSyZd2n9pNuj0dHy8fqhetbnUccQCXadOzB+Hbu+HMPrN47T0Nyt9kXZ7cOnMApvaB2D/BywfueAcaPWQW5yLubPtMmDMY0pKgcEXo9R2UqGV1KhGHy0mtqML7OlR4u5/ktAy6frKS3ScSaFujOF/0a4RNv8SIiHiGY9Ew5V44Hwuh5cw9uotVszpV7qWeNwuUP2eZj+vfbw6Z99FNY3FD9gz47XVYOdZ8XPlWuOdLCAqzNJaIs2iouQNocTX3FeDrzdhekfh5e/HbrlimrD1kdSQREXGEfb/DxDvNortEHXOPbncuusFceb3713DbSHOe+uZvzc8xPsbqZCI5c+GseVPsYtHd/EnoM0NFt8g/1ON9Herxdl9frNjP/83bSYCvFz8/0ZIqxQtaHUlERHJryzSY87i5Inh4K3NOd0Co1akca++v5mJxyXFQsIS56Jo7DqGX/Cd2J3zfG84eAJ9A6PoJ1OludSoRp1OPtwgwoHk4LaoUJTnNzrBpm0lNt1sdSSRfWX14NUsPLmX1YS0a5Sm+2/YdX2z6gu+2fZd3L2oY8MdYmDXQLLprdzd70Tyt6Aaocpu533fxCEg8YfZ8b/ja6lQi17ZjLnze1iy6C5WHhxap6Ba5AvV4X4d6vN3bifhkbh+7nHNJaTzWujLPddCekSJ5xeW2npIbludtas+Ahf+DtZ+aj5sOgXZvgJeH9xukJJq9+zvmmI8bPgh3vAs+ftbmEvkvux2WvgXL3zMfh7eC7hOhQBFLY4nkJfV4i/yjREgAb99dB4BPl+1jzf7TFicSEZFsSUs29/+9WHTf/hbc/qbnF90A/gX/2XrpFcAGG7+GbzpBwnGrk4mYkuNgau9/i+6bB0PfWSq6Ra7Bx+oAIs7WoXYpejQqy/QNRxg+LZpfhrUiNNDX6lgiHm9w48HEp8QT4q/RQpJDF87B1Pvg75Xg7Qd3jc9/Q1dtNmj5NJSsCzMegsNrzT2Re3wL5bTwq1jo5B6z6D69F3wCoPNHUK+n1alEXJ6Gml+Hhpp7hvMp6XT8aAV/n06iS73SfNS7vtWRRETcTp4MNY87CpPvgZM7wT8Eek0xh7DmZ6f3mTciTu4yb0TcORoaPGB1KsmPds2HmQMhNQFCykKvyVBav1NJ/qWh5g6g7cQ8SwF/H8b2jMTby8bcLceYvfmo1ZFERORSsTvhy3Zm0V2wJDw4X0U3QJHK8PCvUKMTZKTC3Cfg5+GQnmp1Mskv7HZY+rbZ052aABWamwsBqugWyTYV3lcxePBgduzYwfr1662OIg5Sv3xhht5aFYCXZ2/n8JkkixOJiEimv1fBV7dD/FEoWg0eXgwl61idynX4B5vDzNu8BNhgw5cwqQsknLA6mXi65HiY1heWjjIfNxkID8yBgsWszSXiZlR4S74yuE1lGlYoTEJKOk9P30KGXTMtREQst2MOTLrLXLCp3E0wYKG5LZFk5eUFt4yA+6aZw/APrTbnfR/ZaHUy8VSn9sIXt8HueeY0h65R0PE98NZaOSI5pcJb8hUfby8+6BFJQX8f1h08w6fL9lkdScRjNZrQiLJjytJoQiOro4grWzsBpveDjBRzKPUDcyAozOpUrq3a7fDI7+bIgIRj8PUdsHmy1anE0+xZBJ/fCqd2Q3BpeHAB1O9rdSoRt6XCW/Kd8kWCeK1LLQA+WLyHrUfOWRtIxEMdTzzO0YSjHE/UFkhyBYYBv74Gv4wADGg0AHpMAt9Aq5O5h6JV4eHfoPqd5k2LOYNh/gjISLM6mbg7w4Dl78N3PSAlDsrdbM7nLtvQ6mQibk2Ft+RL9zQow511SpFuNxg2NZqk1HSrI4l4nJIFS1ImuAwlC5a0Ooo4iMPaNCMNZj8Gf3xgPr71JbhzDHh533jI/CQgBHpOhtYvmI/XTYBJXSHxpLW5xH2lJMIP/eD3N8i8IdbvJwguYXUyEben7cSuw+W3E7NnmAvSJJ6AgiWgQjP94pJN55JS6TB2Bcfjk+ndpDyj7tYiPiIiTpeSANMfgH2/g80bunyk4auOoG2e5Ead2Q9T+0DsDvDyhTvfh4b9rU4l4tJyUiuq8L4Oly68d8yFBc9B/LF/j4WUhg7vQEQX63K5kVV7T9Hny7UYBky4vyHta6lnTkTEaRJjYUp3iNkCvkHm0PKq7axO5TlO7jG3ezq9F7z9ofOHENnb6lTiDvb+CjMeguRzZkdOj2+h/E1WpxJxedrH2wFcfh/vHXPNHoP/Ft0A8THm8R1zrcnlZppVKcojLSsB8PzMbcQmJFucSETEQ53eZ66OHLMFgopC/59VdDtasWrmomvVOpjzvmcPgl+e17xvuTrDgJUfwpR7zaK7TCMYuExFt4gTqMf7Olyyx9ueAWNrX150Z7KZPd/DtmnYeTakpGfQLWoVO2LiuaVaMSY+2BibzWZ1LBERz3FkI3x3LySdhsIVoe9MKFLZ6lSey24391xe/q75uGJLuHciFChqaSxxMannYe4TsP1H83H9++HO0eDjb20uETeiHm9P9/eqaxTdAAbEHzXPk+vy9/Hmo96R+Pt4sWzPSb5ZddDqSCIeYdSKUbzw6wuMWjHK6ijiII/+9Cj3/nAvj/70aPaftGchfNPJLLpLRcJDi1V0O5uXF9z6ornwml9BOLjC3O/7WLTVycRVnP0bvrzdLLq9fMyCu8vHKrpFnEiFtztKPOHY84QqxYN58c6aALz1yy72nEiwOJGI+4taH8XbK98man2U1VHEQeb9NY8ZO2Yw76952XvCpm/h+96QlgSV20L/eVCwuHNDyr9qdja3HAurDHGH4avbYet0q1OJ1fYvNW/EnNgGBYqZq5Y3fhg02k/EqVR4u6OC2dzSIbvnCQD331yBNtWLkZpuZ+j3m0lJz7A6koiIezIMWPYuzB0CRgbUuw/umwb+Ba1Olv8Ur2HO+67aHtKTYeYjsPBFyNA2mvmOYcDqcfDt3XDhjLnq/cCl5o44IuJ0KrzdUYVm5hxurnFnMqSM/iPNIZvNxrvd61GkgB+7jifw/sLdVkcScWs/3PsDS/ot4Yd7f7A6iuSljHT4+SlY8qb5uOXTcNc48Pa1Nld+FlgIek+Fls+Yj1d/ApPvhvOnLY0leSjtAsx6FBa+8O/NsAd/gdCyVicTyTdUeLsjL29zyzDgqsV3heZaWC0XigX78273ugB8vuIAK/eesjiRiPtqWq4prSu2pmm5plZHkbySmgTT74eNXwM26Pg+tH1FQ1hdgZc3tH3Z3MLNtwAcWAaft4bj26xOJs527uI0g2lg++d3yLvGgW+g1clE8hUV3u4qoov5wzOkVNbjAaHm39umQ/T3eZ/LA7StWYI+N5UH4OnpWzh7PtXiRCIibiDpDEzqCrvnm3tI95gETR6xOpVcKqIrPPwrFA6Hc4fgi3awbYbVqcRZDv5hzueO2QJBReCB2XDzIN0ME7GACm93FtEFhm2Hfj/DPV+afz97AJoNNT8+dwjs/dXajG7qpTsjqFSsAMfjk/nfrG1o1z0RkWs4+zd82R6OrDNvAD8wx/wZJa6pRAQMXGIueJd+AX58CBa9bG5XKp7BMGDtBPNmWNIpKFnXnM8d3srqZCL5lgpvd+flDeEtoU53828vb7htJNTpAfZ0mPYAHNtsdUq3E+jnzYc96+PjZeOX7cf5YeMRqyOJuJ3dp3bzZ+yf7D6l9RI8WsxWs+g+/ReElIUBi6CCphe4vMDC0OcHaPGU+XjVRzD5HnPkgri3tGSYMwR+GWH+LljnXhiwEAqVtzqZSL6mwvsqoqKiiIiIoHHjxlZHyTkvL+gaBZVaQ9p5mHIvnNlvdSq3U6dsKMPbVwNg5Nw/+fv0eYsTibiXtpPaUnt8bdpOamt1FHGW/cvg646QeByKR8BDi8xVtMU9eHnDba9B96/BNwj2L4HP28Dx7VYnk9yKOwoTO0L0ZLB5Qfv/g7s/B78gq5OJ5HsqvK9i8ODB7Nixg/Xr11sdJXd8/KDHt1CyDpw/ad7FPq+FwnLq0VaVaRIexvnUDIZNiyY9w251JBER17BthvmzJTUBKrb8Z4XkMlanktyofTc8tBgKVYCzB+HLdrB9ptWpJKcOrTHncx/daI5o6DsTmj2h+dwiLkKFtycLCIE+M8yhRWf2mz3fqeq1zQlvLxsf9IwkOMCHzYfO8fHve62OJOI2etfuzUP1H6J37d5WRxEHyWzTsOrmvGB7GtTqBn1/NLesEvdVsrY5B7hSG0hLghkPwuJXNe/bXWz4CiZ2gvOxULwWPLIEKrexOpWI/IfN0KpR1xQfH09oaChxcXGEhIRYHSd3Tv1lzr+7cAaqtode32k/1RyaE32UJ6dG42WDHwY1o2GFwlZHEhHJe3Y7LHoJ1kSZj296DG5/y5ziJJ4hIx1+G2nO+QZzAbbuX5o9qOJ60lPgl2dh40Tzca1u5nRDvwKWxhLJL3JSK+onZX5QtCrcNx18AuGvRfDzMHO1S8m2rpFluCuyNHYDnpoWTWJKutWRRETyVnqK2ct9sehu9wZ0GKWi29N4+0D7N8zdUnwCYd9vMKENnNhhdTK5VMJxs5d740TA9u98fRXdIi5JPy3zi3KNoftX5kIbmyfDkresTuR2Xr+rNmUKBXLoTBKvzf3T6jgiInknOc6cz/3nTPDyNRdraj5Uc0c9WZ3u5mJ5hcrD2QPwxW2wY47VqeSiw+vhs1v+3cKvzwxzhXq9J0Vclgrv/KRGR+j0gfnv5e+a84Ek20ICfPmgZyReNpix8Qjzt8VYHUlExPniY8yVyw+uAL+C5hZUdXtYnUryQqm68MhSc+/ntPMw/QH47Q3N+7bapknmyuWJx6FYTXM+d9XbrE4lItehwju/adgfbnne/Pe8p2Hnz5bGcTdNwsN4rHVlAF6YuY2YuAsWJxJxXR0md6DBZw3oMLmD1VEkt07uNle4PrEdCpagRpAfIdO7UuMTbRmWbxQoAn1nQdMh5uMV78P3veDCOUtj5UvpqebvbnOfgIxUqNkZHl4MRSpbnUxEskGFd37U+nlo8AAYdnO+3qG1VidyK8Nuq0bdsqHEXUjjmR+2YLdrvrzIlWyP3c7m45vZHqs9gd3SoTXmwpxxh6FIFXhoEYn2NBJSE0hMTbQ6neQlbx+4/U1zioFPgLlezOe3Quwuq5PlH4mxMKkrrP8CsEGbl+DeSeAfbHUyEckmFd75kc0Gd34A1TpAejJ83xNO7rE6ldvw9fZibM9IAn29Wbn3NF/+ccDqSCIuyc/bL/OPuJmdP5u/5Cefg7KNYcAiKFzR6lRitbo9YMBCCC0HZ/bBF201ci4vHN1o7s99aBX4h0DvqXDLCC1sKOJm9I7Nr7x9zMXWyjSCC2dh8t3mPD7JlkrFCvJypwgA3lu4mx3H4i1OJOJ69j+5n5SXUtj/5H6ro0hOrP8Spt9v3pitdgc8MNccbiwCUDrS3O+7YktITYRpfeD3N82t5sTxor+Hr+6A+KNQpCo88jtU1/QdEXekwjs/8ytgbjMWVtkcSjilu7lyrWRL7yblaBdRgtQMO09O3UxymhabERE3ZhjmwlnzhptTkRr0g56TwS/I6mTiagoUhftnw82Pm4+XvwtTe+t3CEfKSINfnofZgyAjxbwJ9shv5haxIuKWVHjndwWKwP0zoUBxc/GcqX3MvVrlumw2G2/fXYdiwf78FZvI279orpuIuKmMNJgzxFw4C6D1/6Dzh+boKJEr8fYx93Hv9hl4+8OeBfB5W01dc4Tzp+DbbrB2vPn4lueh13fmtmEi4rZUeIs5b6/vDHObmIMrYPZjGjKWTUUK+vNe97oATFx1kKW7Yy1OJCKSQymJ8H1viJ4MNi/o/BG0fk77AUv21OsFAxZASBk4/Ze56Nqu+Vancl8xW8z53Be37+s5Bdq8oPncIh5A72IxlaoHPb8FLx/Y/iMsftnqRG6jdfXi9G9WEYBnftjK6USNGBABmLBxAmNWj2HCxglWR5GrSTwJ33SCvYvBJxB6fQ8N+1mdStxNmQYwcBlUaA6pCeaw86Vv6yZ+Tm39Ab683Zz+F1YZHv4NanayOpWIOIgK76uIiooiIiKCxo0bWx0l71S+FbqOM/+9+hNY9Ym1edzI83fUoFqJgpxKTOG5H7dhGNpiTOT1Za/z9KKneX3Z61ZHkSs5sx++ag/HNkNgGPT7SYs2Se4VLAYPzIEmA83HS0fBtL6QrMVHrysjHRa+CDMfhvQLUKWduYha8RpWJxMRB1LhfRWDBw9mx44drF+/3uooeateT7htpPnvRS/CthnW5nETAb7ejO1ZHz9vL37deYLv1x22OpKIyNUd3QRftDOL70Ll4aFFUC4f3WgW5/D2hY7vQdco8PaD3fPMLcdO7bU6metKOgNT7jE7PABaPg33TYPAQpbGEhHH06opcrnmT0JCDKz9FGYNggLFoNItVqdyeRGlQxhxe3XenL+TN37ewc2VwqhUrKDVsUQs82mnT7mQdoFA30Cro8h//fUrTH8A0s5DybrQZwYEl8jWU9Wmki31+0KxmmaP96k98HkbuOcLqHa71clcy/HtMPU+OPc3+BaAu8ZBrbusTiUiTmIzNCb2muLj4wkNDSUuLo6QkBCr4+Qdux1mPAg7ZoNfMAz4BUrWsTqVy7PbDe7/ai0r956mbtlQfnysGb7eGlgiIi4i+juY+wTY06FSG3NtD/9gq1OJp0qMNW/yHFoN2KDNi2aPrhYKg+0zYc5gSEsyF7nt9R2UqGV1KhHJoZzUivqfT67My8vcIqRCC3OhlMnd4dwhq1O5PC8vG6PvjaRQkC9bj8Qx9ldtqyIiLsAwYPn7/+xakQ51e8J901V0i3MVLA4PzIXGDwMGLPk/mH4/pCRYncw69gxY/KrZuZGWZN4Ae2SJim6RfECFt1ydbwD0mgLFIyDxOEy+x5yLJNdUMjSAUd3M0QHjlu5j3QF9zUTEQvYMmP8M/P6G+bj5k3DXp+DjZ20uyR98/ODO0dDlY3Pe966f4Yvb4PQ+q5PlvQtnYcq9sHKs+bjZUHOqR1CYpbFEJG+o8JZrCyxk/lAIKWPO0/q+F6RdsDqVy7ujTinubVgWw4CnpkUTn5xmdSSRPHc66TQnz5/kdNJpq6PkX2kX4Id+sP4LwAYd3oF2r+d6qO/GYxtZfXg1G49tdGxO8XwNHoD+8yG4FJzcBRPawF+LrU6Vd2J3mp/zvt/Mrfvu+RLavwHeWm5JJL9Q4S3XF1oG+v4IAaFweC3MeMjsQZFrerVLLSoUCeLouQu8Mnu71XFE8ly9T+tR/P3i1Pu0ntVR8qekM/BtN9j5k9nTeO/XcPOgG7pk16ldafZVM7pO7eqgkJKvlGsMA5dCuZsgJc7s/V0x2pwK4cl2zIXP28LZAxD6zy4CdbpbnUpE8pgKb8me4jWh91Tw9je3B5n/jOf/oLxBBf19+KBnJN5eNmZHH2NO9FGrI4lIfnHuMHzVwVzUyj8U7p8FtbpZnUoEgktCv5+h4YOAAb+9bo7KSEm0Opnj2e3w+z/z2tPOQ3gr88ZDqbpWJxMRC6jwluyr0MzcDgQbbPjKXKhHrqlB+cI8cWsVAF6avZ0jZ5MsTiSSd9pVbkfnap1pV7md1VHylxN/wpft4dRuCC5t7kpRsYXVqUT+5eMHncdCp7Hg5Qs75sCX/+wr7ymS42Bqb1j+nvn45sHQdxYUKGJtLhGxjLYTu458u53YtaydAL+MMP/d5RNocL+1eVxceoadHp+tZtOhczQJD+P7R27G28tmdSwR8UQHVpj7AqfEQ7Ea5jSh0LIOu3zZMWU5mnCUMsFlODL8iMOuK/nYobVmj3DiCQgoBN2/hCq3WZ3qxpzcY74PT/8FPgHQ+UOo18vqVCLiBNpOTJzrpoHQ4inz3z89CXsWWZvHxfl4ezG2Z30K+Hmz7sAZPlueD1dyFRHn2z4TJt9tFt3lm8GABQ4tukWcovxNMHAZlG0MyefMed9/jHXf6Wy75sPnt5pFd0hZ832ooltEUOEtudX2VajXG4wMc27WEa1wey3liwTxWhdzj84xi/aw7UicxYlExKOsGQ8zBkBGKtTsYs7pDixsdSqR7AkpBf3nmSufG3b49VXz+zn1vNXJss9uh6XvmMPLUxOgQnNzPnfp+lYnExEXocJbcsdmM/fkrNwW0pLgu3vz556cOdC9YVk61ilJut3gyWmbuZCqleFF5AbZ7bDoJVjwPGBA40fg3ongG2B1MpGc8fGHzh/BnWPAywf+nGmuVXDmgNXJri853hwuv/Qt83GTgfDAHChYzNpcIuJSVHhL7nn7Qo9voFQkJJ02hzgmxlqdymXZbDbe6laHkiEB7D95nv+bt8PqSCJO1WdmH26ffDt9ZvaxOopnSk+FWY/Cqo/Nx21fhY7vgZe3tblEcstmg8YPmaueFygOJ7bD521g3xKrk13dqb3wxW2w62dz276uUeb70NvX6mQi4mJUeMuN8Q+GPj9A4Ypw9qA5N8sTtwRxkEJBfozuYe5pPGXtIX7dccLiRCLOs+zgMhbtW8Syg8usjuJ5kuPNkUbbppu9g3d9Ci2Hm4WLiLur0NQcpl2mIVw4a97YX/mR68373rPInM99ajcEl4IHf4H6fa1OJSIuSoW33LiCxaHvTAgqAjHRMP0ByEizOpXLal6lKI+0DAfguR+3EpuQbHEiEXErCcdhYkfYvxR8C8B90yCyt9WpRBwrtAz0nw+Rfc1534tfhh8fhlQX2JbTMGDFaPiuB6TEQbmLC8Q1sjqZiLgwbSd2HdpOLAeObIRvOplzvuv1hrvGq/flKlLSM7grahU7Y+K5pVoxJj7YGJu+VuJhElISMDCwYSPYP9jqOJ7h1F9m79+5Q1CgmDniKA8Xb1KbSp4zDFj/hbmOgT0dStaBnlOgcAVr8qQkwpzHzb3HARoNgA7vmHuTi0i+o+3E/uPw4cO0bt2aiIgI6tatyw8//GB1JM9VtiHc+w3YvGHL9/Db61Yncln+Pt582CsSfx8vlu05yaTVf1sdScThgv2DCfEPUYHmKIfXm4tNnTsEYZXgocV5vmKy2lTynM0GTR6BB+ZCUFE4vg0mtIb9FkxhObMfvmxnFt1evtBpLHT6QEW3iGRLrnu89+zZw9KlS4mNjcVut2f52CuvvOKQcI4QExPDiRMniIyMJDY2lgYNGrB7924KFCiQreerxzsXNk+GOYPNf9/xnrnvt1zRxJUHeO2nHfj7ePHzEy2oWkK/zIrIFeyab26vlH4BSjcwe7oLFLU6lUjeijsC0/rCsc3mTf72/wc3P5Y3o+v2/ma+B5PPQcES0ONbcw9yEcnXclIr5qrw/vzzz3nssccoWrQoJUuWzDJE1mazsWnTppynziN169Zl3rx5lCtXLlvnq/DOpWXvwZL/A2zmyucRXa1O5JIMw6D/1+tZtuckNUuFMHtwM/x9tCKxiPzHxonw81PmPNeq7c3twvyyd/NYxOOkXYCfh8OW78zHdXtC5w/BN9A5r2cYsOoj+PU18z1YphH0nGzuPS4i+Z7Th5r/3//9H2+++SbHjx8nOjqazZs3Z/7JadG9fPlyOnfuTOnSpbHZbMyePfuyc8aNG0d4eDgBAQE0bNiQFStW5CY2GzZswG63Z7volhvQ6hlo+CBgwI+PwN+rrE7kkmw2G+/dW5ewAn7sjIln9KI9VkcSJ8qwG6zed5o50UdZve80GXbPXmJj5s6ZTN46mZk7Z1odxT0ZBiwZBT89af7CX78v9Pre0qJ7zOoxvLb0NcasHmNZBsnnfAPhrnHmvGqbN2ydBl/dDucOO/61UpPgx4dg8Sv/vgcfnK+iW0RyJVc93iEhIURHR1OpUqUbDvDLL7+wcuVKGjRowD333MOsWbO46667Mj8+bdo07r//fsaNG0fz5s357LPP+OKLL9ixYwfly5cHoGHDhqSkpFx27UWLFlG6dGkATp8+TcuWLfniiy9o1qxZtvOpx/sG2DNg2v2wex4EhMKAhVC8ptWpXNLiHSd4ZNIGbDaY8tBNNKuiIaSeZsH2GEb+tIOYuH9XsS8VGsCrnSPoUNszf4krO6YsRxOOUia4DEeGH7E6jnvJSId5T8GmSebjVs9Cm/9ZvmBlfmnTDLvBugNniE1IpnhwAE3Cw/D20gKYLufACvihHySdNndWufcbCG/pmGuf/Rum9THnlHv5QIe3ofHDlr8HRcS1OH2o+UMPPUTjxo0ZNGhQrkNeMYzNdlnhfdNNN9GgQQPGjx+feaxmzZrcddddjBo1KlvXTUlJoV27djzyyCPcf//91z33v0V8fHw85cqVU+GdW2kXYFJXOLwWQsqYiwGFlrE6lUt6YeY2vl93iJIhAcwb2oI9JxL1S5+HWLA9hscmb+LS/2wvtuj4vg08svjOL0Waw6WeN+eS7lkANi+4c7S5crILyA9tmh9vkrm1c4dgah84vtXsAb/9Lbjp0RsrkPcvgx/6w4Uz5u4BPSZBhex32ohI/pGTwtsnNy9QpUoVXn75ZdasWUOdOnXw9fXN8vGhQ4fm5rKXSU1NZePGjTz//PNZjrdv355Vq7I3dNkwDPr378+tt9563aIbYNSoUYwcOTJXeeUKfAOh91RzGNipPTClOzz4CwQWsjqZy3m5U03W7j/N/lPnaf7O7ySn/btooX7pc18ZdoORP+24rOgGMDCL75E/7aBdREmPu7nyf7f+H+dTz1NA85Gz7/xpc2/goxvAJwC6fwU17rQ6Vb5xtZtkx+OSeWzyJo+9SebWCpWHhxaZUzK2ToMFz0HMFnO1cd+AnF3LMGDNeFj0EhgZ5q4BPSdDaFnnZBeRfCVXPd7h4eFXv6DNxv79+3MX5pIe72PHjlGmTBlWrlyZZXj4W2+9xTfffMPu3buve80//viDVq1aUbdu3cxj3377LXXq1Lni+erxdpJzh+CLdpB4HCq0gL4/5vwHYj7w6bJ9vP3LrsuOe3rPaG4YhkGG3SDdbmD/599Z/lxyzG6Y5152LMM8126HdLs985h5zX+PZdghw27/z98GGcalx/jndc1/2w2Dw2eS+GX78et+Pt8/cjNNKxfJg6+cuKyzB+Hbu+HMPggsDL2nudyqyZ7c451hN2jxzu9Zerr/ywaUDA3gj+du9bibZB7BMGDNOFj0cu6K5rQL8NMw2DrVfFyv9z/Fu5MWbRMRj+D0Hu8DBw7kKlhu2S4ZLmQYxmXHrqZFixaXbXd2Lf7+/vj7++con2RDofLQdwZ83RH+/gNmPQrdvwYvj99KPtsy7AbfrDp4xY9dvDv2ypw/qV4iBGz/Fnrpdjv2Swq+rMXn5cfsFwvWf/6+9Nh/i9YrHcty/Yysz7/SMbuR9VpXLJavcP3/Fsv/fV663SB3GyG6rtiEK/+yL/nEsWiYci+cj4XQctB3JhSrZnWqfGXdgTNXLbrB/H84Ji6ZdQfO6CaZK7LZoOlgKFELfnjQ3HJsQmtz3nfF5td+7rnD5jZlMdH/DFd/E24apPncIuJQuSq8/+tih3l2C+GcKFq0KN7e3hw/nrW3KDY2lhIlSjj89cTJStYx7z5Pvgd2zIaFJc3FSvSDDbj+L30AsQkptBm9NG8CuTEvG3h72fCy2fDxsuHlZf596THvi39s//n3f47993mXHvP65/F/r+91hWsdj0tm7pZj181cPFgjQPKtfb+bC1GmJkKJOuYe3Vo1Oc9l9+aXbpK5uEqtYeDSfxdGm9Tl34XRDLu5y0riCXMv7grN4NBqmN4Pkk5BYJi5BWp4K6s/CxHxQLkuvCdNmsR7773HX3/9BUC1atUYMWJEtuZRZ5efnx8NGzZk8eLFdOvWLfP44sWL6drVuftCR0VFERUVRUZGhlNfJ9+pdAt0+9TcnmPtpxBSGpo/aXUql5DdX+b8vG34+3pfVjB62Wz4eF/5mJcta/F4pWPXKzz/e60shedlx8Db2+ufa4K3l9e/f19yzHyeF15e4HOFY94XC9pLjl0rs7eXzSk3AnMrw26w/uAZjsclX3Ge98Xhq03Cw/I6mriCLdNgzuNgTzd/2e852dwFQvJcdm9+6SaZGyhcAQYsgrlPwPYZMP8Z2DkXTv0FCTH/nhcQCikJZkFesg70nGI+V0TECXJVeI8ZM4aXX36ZIUOG0Lx5cwzDYOXKlQwaNIhTp07x1FNPZftaiYmJ7N27N/PxgQMHiI6OJiwsjPLlyzN8+HDuv/9+GjVqRNOmTZkwYQKHDh1y+Irqlxo8eDCDBw/OHLcvDlSnOyQch0UvmntjFiwJ9Xpancpy2f1l7psBN2mYoxvx9rLxaucIHpu8CRtcVnwbwKudIzxyzqgnzwe+YYYBKz+EX181H9fubu5N7KOpTlZpEh5G4SA/zialXvWcUrpJ5j78guCeL6B0pDnv+8Dyy89JjjP/Lt/UnN7hF5SnEUUkf8lV4f3xxx8zfvx4HnjggcxjXbt2pVatWrz22ms5Krw3bNhAmzZtMh8PHz4cgH79+jFx4kR69uzJ6dOnef3114mJiaF27drMnz+fChV0R9KtNRti3nVe/YnZ21OwGFS+1epUlmoSHkap0AD1jHqgDrVLMb5vg8u2KALw9/Giaolgi5KJJewZsPB/5qgfgKZDoN0bWvPCYifik0lNv/Yot5ZVi3rkTTKPZbPBzY/DHx+Ye31fzblDuuklIk6Xq1XNAwIC2L59O1WqVMly/K+//qJOnTokJ3vO/KecrFQnOWS3w8yHYfuP4FcQHpwPpepZncpSF7eygaw9o1rV3DNk2A3WHThDbEIyRQr48dFvf7Hu4Fmqlwhm9uDmBPp5Wx3Robp834WTSScpFlSMub3nWh3HNaQlw6yBsGOO+bj9m+aNSDfhqW2amm6n54TVbD50jnJhgaSl2zke/+8OJyEBPsQnp+Pn48Wcwc2pWUq/D7iNAyvgm07XP6/fzxDe0vl5RMSj5Mk+3tOnT+d///tfluPTpk2jatWqubmky9Ec7zzg5QV3jYfEWDi4AiZ3h4cXQ+GKViezzNV6RktqH2+P4O1lyzJNoFqJYDp+9Ae7TyTw4uxtjL63nkvNT79RnlSYOcSFczC1j7mzg5evud5Fne5Wp8oRT23TUb/sZPOhc4QE+PDdwzdTulBg5k2y4sEBNK5YmIHfbuT3XbEM/X4zPz3RggBfz7pR5rESTzj2PBGRXMpVj/ePP/5Iz549ue2222jevDk2m40//viD3377jenTp2dZCM3dqcc7DyTHmduMndgOYZXhocVQIH/PYf5vz2jxYHN4uYY3eqbV+07T54s12A14++469GpS3upI4gxxR2FKd4jdAf4h5iJqlW6xOpUA87bGMPg7c6TR5w80ol3ElXdNOZWYQoexKziVmMIDTSvwetfaeRlTcks93iLiRDmpFXM1oeyee+5h7dq1FC1alNmzZzNz5kyKFi3KunXrPKroljwSEAp9Zph7157ZB9/1gNTzVqey1MWe0a6RZWhauYiKbg/WtHIRnrm9OgCvzP2T7UfjLE4kDhe7E75sZxbdBUua02pUdLuEfScTeXbGFgAG3VL5qkU3QNGC/ozuYU6HmrT6b37doR5St1ChmbmDClf7OWqDkDLmeSIiTpSrHu/8RD3eeejkbviyPSSfg2odzG09vG94q3kRl2e3GzwyaQO/7YqlQpEg5g5pQWigr9WxxBH+XgXf9zJH9hStBn1/hEIa1eAKLqRmcFfUSnafSKBJeBjfPXwTPt7X74/4v5938MUfBygc5MuCYa0oEaLtxVzejrkw/eKCwFdYQaXHJIjoktepRMQDOKXHOz4+Psu/r/VHJFeKVYf7poNPAOxZAPOeMrfcEfFwXl42RveoR5lCgfx9OokRP2zBE+6JPjH/CfrO7MsT85+wOoo1dsyBSXeZRXe5m2DAQrcvurt834WmXzaly/fuXaQYhsGLs7ex+0QCRQv680nv+tkqugFGdKhORKkQzial8fT0Ldjt7v9e9XgRXcziOuSSdVJCSqvoFpE8k+0eb29vb2JiYihevDheXl5XXADIMAxsNptHLEj238XV9uzZox7vvLTzZ5h+Pxh2uOV5aPOC1YlE8sTWI+foPn41qRl2XuxYk0daVbI60g3J1/t4r50AvzwLGFCjk7mfsG+g1alumKe06dR1h3h+5ja8bDDl4ZuzLHqYHXtjE+n08QqS0zzjvZpv2DPMUSiJJ6BgCXN4uZcWyROR3HPKqua///47YWHm/sFLliy5sYRuYPDgwQwePDjziyl5qGYn6Pg+zBsOy94271A37G91KhGnq1u2EC93juDl2dt5e8EuIssXonFF7dvu0i79Rb58U1jyf+a+wQCNBpj/n+mXe5ex/Wgcr8z9E4Bnbq+e46IboErxgrzSqRb/m7WNdxfuomnlItQuo98VXJ6XtxZQExHLZLvwvuWWfxeCCQ8Pp1y5cpf1ehuGweHDhx2XTvKvxg9BQgwsfw9+fsr8hbb6HVanEnG6vjeVZ8PBM8yJPsaQ7zYxb2hLihb0tzpWrqx4cAUZRgbeNg8tOnfMhQXPQfyxf4/5BkLaBfPft74ELZ8BD9oizt3FXUjj8SmbSE2307ZGcQa1qpzra/VuUo5le2JZ+OcJhn6/mZ+HtiDIT+uSiIjIleVqVfPw8HBOnjx52fEzZ84QHh5+w6FEAGjzIkT2NYec//AgHF5vdSIRp7PZbLzVrQ5VihfkRHwKT07dTIabziENLxxOlbAqhBf2wJ8LFxdr+m/RDf8W3Y0fgVYjVHS7EMMweOaHLRw6k0TZwoGM7lEPrxvYMcJms/H23XUpGRLA/lPnef2nHQ5MKyIiniZXhffFudyXSkxMJCBAq3uKg9hs0HksVGkH6RfMbcZO/WV1KhGnK+Dvw/g+DQj09Wbl3tN8+OseqyPJf9kzzJ5urnFDZPd88zxxGZ+v2M/iHSfw8/ZiXJ8GFAryu+FrFi7gx5ie9bDZYOr6w/yyLcYBSUVExBPlaEzU8OHDAfMu78svv0xQUFDmxzIyMli7di2RkZEODWiV/y6uJhby9oUe38DETnBsE0y+Gx5aDMElrU4m4lRVSwTz9j11eHJqNB/9vpf6FQrTpnpxq2MJmHO6L+3pvlT8UfM8zSd1CesPnuGdBbsBeKVzBHXLFnLYtZtVLsqgWyozfuk+np+5jXrlClG6kPsvpCciIo6Vox7vzZs3s3nzZgzDYNu2bZmPN2/ezK5du6hXrx4TJ050UtS8NXjwYHbs2MH69RrebDm/AuY2Y2GV4NwhmNIdkrVtnXi+rpFl6Huzuf3UU9OiOXrugsWJcmbpwaUs3LuQpQeXWh3FMewZ8Ndi+PW17J2feMKpcSR7TiakMHjKJjLsBndFlqbPTY7f0m14u2rUKxtK3IU0npoW7bbTQ0RExHly1ON9cTXzBx98kA8//FDba0neKVgM+v4IX7aH49tgWl/oMwN8bnyooIgre7lTBFuPxLH1SByPT9nED482xc8nV7OE8lzfmX09YuspTu2F6MmwZaq56GN2FSzhvEySLRl2gyenbiY2IYUqxQvyZrc6V5wqd6N8vb34sFd9On60grUHzvDpsn0MblPF4a8jIiLuK1e/vY0dO5b09PTLjp85c4b4ePVEipOEVTJ7vn0LwIFlMGcw2O1WpxJxKn8fb6Lua0BooC9bDp/jrfk7rY6UPyTHw8ZvzJt9nzQ0twdLiIHAMGgyEAoUA65WwNkgpIy5R7BYauyve1i17zRBft582rcBBfydt+p4xaIFGNmlFgBjFu9h86GzTnstERFxP7n6CdSrVy86d+7M448/nuX49OnTmTt3LvPnz3dIOJHLlGkAPSfBdz1h23Rzrnf7N6xOJeJU5cKCGNOjHg99s4GJqw7SqGJhOtUtbXWs6xredDjxKfGE+LvJ6Ci7Hf7+AzZPgR1zzEUdAWxe5iKP9ftAtQ7g4w8VW5qrmmMj6yJr/xTjHd72yL273alNl+yO5ePf9wIw6u46VCke7PTX7N6wLMv2nOTnrTE8OTWa+U+2pKATi30REXEfNsMwcjwRKSwsjJUrV1KzZs0sx3ft2kXz5s05ffq0wwJaLT4+ntDQUOLi4jS03pVEfw+zB5n/7vA23PyYtXlE8sA7C3Yxfuk+Cvh5M/eJFlQuVtDqSJ7h7N+w5XuI/g7O/f3v8aLVILIP1Ot15QUdr7SPd0gZ8/+kiC7Ozy1XdeRsEp0+/oNzSWncf3MF3rirdp69dtyFNDp+uIKj5y5wd4MyjOkRmWevLSIieSsntWKubsOmpKRccah5WloaFy641+I/4qYie0PCMfjtdVjwgjmXsvbdVqcScaqn21Vj099nWXvgDI9N3sjswc0J8lNvWq6kJsHOn8y52weW/3vcP8T8vySyL5RtdO19uCO6QI07zdXLE0+Y/w9VaOaRPd3uJCU9g8HfbeZcUhp1y4byUqea13+SA4UG+jK2VyQ9P1vNzE1HuaVaMbpGlsnTDCIi4npyNce7cePGTJgw4bLjn376KQ0bNrzhUK4gKiqKiIgIGjdubHUUuZoWw6HxI4ABsx6FAyusTiTiVD7eXnx8X32KBfuz50QiL83aTi4GLeVfhgGH18HcoTC6Oswa+G/RHX4L3P05PL0bOn8I5Rpfu+i+yMvb3DKsTnfzbxXdlntr3k62HD5HaKAvUfc1wN8n79ukccUwhtxaFYCXZm3n8JmkPM8gIiKuJVdDzVeuXMltt91G48aNadu2LQC//fYb69evZ9GiRbRs6Tn7lmqouYuzZ8AP/cyeK/9QGPALlKhldSoRp1qz/zT3fb4Gu2HOXe3dxPHbI3mU+BjYOtUcSn5qz7/HC1Uwh5JH9oZC+hpmR0JKAgYGNmwE+zt/znROzd1yjKHfbwbgq/6NuLWGdSvLp2fY6fHZajYdOkfDCoWZNvBmfLzdY0cCERHJnpzUirkqvAGio6N57733iI6OJjAwkLp16/LCCy9QtWrVXIV2VSq83UDaBfi2GxxaDcGl4KHFUKic1alEnGrc0r28u2A3fj5ezHysGbXLhFod6TJ1x9clJjGGUgVLsfWxrXn74ukpsPsXiJ4Ce38F458dEHyDIKKrWXBXaA5eKoRyouyYsi67Rdze2AS6fLKSpNQMBrepzIjba1gdicNnkuj44QoSUtJ5sm1VnmpXzepIIiLiQE6f4w0QGRnJlClTcvt0EcfxDYTe38NXHeDkLph8DwxYAEFhVicTcZpBrSqz8eBZftsVy+NTNvHTEy0IDfS1OlYWZy6c4VTSKfy9/fPuRWO2mKuSb5sOF/6znVO5m81VySPuggDdRPU0SanpPDZ5E0mpGTStVISnbnONArdcWBD/1602T06N5uPf/6Jl1aI0qqifTSIi+dEN3+q/cOEC8fHxWf6I5LnAwtD3RwguDad2w9T7zJ5wEQ/l5WVjdI96lC0cyKEzSTzzwxaXm+9dsVBFKheuTMVCFZ37QudPw5rxML4FfNYK1n1mFt3Bpcy1IIZshIcWQoMHVHR7IMMw+N/MbfwVm0jxYH8+7B3pUkO6u0aW4e76ZbAb8OTUaOIupFkdSURELJCrn0xJSUkMGTKE4sWLU7BgQQoXLpzlj4glQstC3xnmXO9Dq+HHh8054CIeqlCQH+P6NMDP24vFO07w+Yr9VkfK4o8Bf7B36F7+GPCH4y+ekQ67F8C0vuZCaQuehxPbwNsPanWDPj/CU3/Cba9C0SqOf31xGd+tO8Ts6GN4e9n4uHd9igcHWB3pMiO71qJ8WBBHz13gpdlaFFFEJD/KVeE9YsQIfv/9d8aNG4e/vz9ffPEFI0eOpHTp0kyaNMnRGUWyr0Qt6DXF/OV718/wy7PmSsYiHqpu2UK80jkCgHcW7GbdgTMWJ3Kyk7th0cvwQQR839NcWNGeBqUioeP75qrk906EqrdphfF8YNuROEbO3QHAs7dX56ZKRSxOdGXBAb582CsSby8bP205xsxNR62OJCIieSxXhfdPP/3EuHHj6N69Oz4+PrRs2ZKXXnqJt956S/O+xXrhLeHuCYAN1n8Bf4yxOpGIU/W5qTxdI0uTYTcY8t0mTiakWB3JsZLjYMNX8HlbiGoCqz4y980OKgo3D4ZBK+HRZdDkEa3tkI/EJaXx2JSNpGbYaRdRgoGtKlkd6Zrqly/MU7eZC9C+Mmc7B0+dtziRiIjkpVwV3mfOnCE8PByAkJAQzpwxe1hatGjB8uXLHZfOQtrH283V6gYd3jb//dvr5jZCIh7KZrPxVrc6VClekNiEFJ6cupkMu5uP9LDbYd8Sc8rI+9Xg56fg6AaweUP1jtBzCgzfCR3egpK1rU4recxuNxg+PZojZy9QLiyQ9++thy07+65b7LHWVWgSHsb51AyenLqZtAy71ZFERCSP5KrwrlSpEgcPHgQgIiKC6dOnA2ZPeKFChRyVzVKDBw9mx44drF+/3uookls3D4JmQ81/zxkCf/1qbR4RJyrg78OnfRsQ5OfNqn2nGfvrnus/yclGLh3J8IXDGbl0ZPafdOYA/P4mfFgXvr0Ltv0A6clQrAa0e8Mstnt/DzU7gY+f07KLa/ts+X5+2xWLn48X4/s0dLkV/a/G28vG2J6RhAT4sOVIHB8stv59KiIieSNXhfeDDz7Ili1bAHjhhRcy53o/9dRTjBgxwqEBRW7IbSOhTg8wMmD6A3B0k9WJRJymSvFgRt1dB4CPf9/Lkt2xlub5fNPnfLDmAz7f9Pm1T0w9b45KmdgJPoqE5e9C3GFzocRGA+Dh3+HxNdB8KASXyJPs4rrW7D/Newt3ATCySy2X3MP+WkoXCuTte+oCMH7ZPlbvO21xIhERyQu52sf7qaeeyvx3mzZt2LVrFxs2bKBy5crUq1fPYeFEbpiXF3SNgvOxsH8pfNcDHloEYa49F1Akt7pGlmHDwbN8u+ZvnpoWzbyhLSlTKNDqWJczDDi8FjZPhj9nQWriPx+wQaXWUL8v1LgTfF0wu1gmNiGZJ77fjN2AuxuUoVfjclZHypWOdUrRs1E5pm04zFPTolkwrCWFgjSCQ0TEk9mMHO5pkZaWRvv27fnss8+oVq2as3K5jPj4eEJDQ4mLiyMkRPu/uq3keJjYEY5vg8Lh8NBiKFjM6lQiTpGSnsG9n65m65E46pUrxA+PNsXPJ+/3Nd54bCOpGan4efvRsHRD82D8MdjyvdnDfXrvvycXDofIPlCvFxRyz2IqP7him+aR9Aw7fb9cy5r9Z6heIphZg5sR5Jer/gOXcD4lnc4f/8H+U+fpUKsk4/s2cIt56iIi8q+c1Io5LrwBihUrxqpVq6hatWquQ7oLFd4eJOEEfHkbnDsEpetDv5/Bv6DVqUSc4vCZJDp9/AdxF9Lo36wir3WpZV2YtGTYPR+ip8C+38H4Z0Ep3wJQ6y6z4K7QDFR0yDW8u2AX45buo4CfN3OfaEHlYu7///e2I3HcPX4laRkGo+6uQ+8m5a2OJCIiOZCTWjFXXSAPPPAAX375Za7CiVgmuAT0nQWBYXBsM/zQHzLSrE4l4hTlwoIY08Oc+jNx1UF+2nIsbwMYhvk+m/cMjK4OMx6Evb+aRXf5ZuYUkGf2wF3joGJzFd1yTb/tPMG4pfsAeKd7XY8ougHqlA3lmfbVAXj9px3sjU28zjNERMRd5arH+4knnmDSpElUqVKFRo0aUaBAgSwfHzPGc/ZNVo+3Bzq8Hr7pDOkXzJ62rlH6pV881n97CecMaUGV4k4uWM6fgq3TYPMUiP3z3+MhZaBeb4i8D4pUdm4G8SiHzyRx50criE9Ot370hhPY7Qb3f7WWlXtPU6t0CDMfb4a/j7fVsUREJBucNtR8//79VKxYkbZt2179gjYbv//+e/bTujgV3h5q9y8w9T6z963lM9D2ZasTiTjFf+fFVitRkNmDmzt+XmxGGvy12BxKvmcB2NMB2OblTVp4C3xrdKZOwwHgpWLC3f2852cupF0g0DeQTtU6Of31UtIz6D5+NduOxhFZrhDTLVqvwNlOxCfTYexyzial8UjLcF68M8LqSCIikg1OK7y9vb2JiYmhePHiAPTs2ZOPPvqIEiU8d3sXFd4ebOM38NM/+3zfORoaP2xtHhEniU1I5s6P/uBkQgp31y/D6B71HLOIU+xOc1XyrdPg/Ml/j5duAPX7UHb5KxxNjKFMcBmODD9y468nlis7pixHE47mWZu+NHsbk9ccolCQr+uu0O8gi3ec4JFJGwCYNKAJrappAVAREVfntDnel9bov/zyC+fPn895QjcQFRVFREQEjRs3tjqKOEvDftD6BfPf80fAzp+tzSPiJMWDA/i4d328bDBz81Gmrj+c+4tdOAvrv4AJbWDczbD6E7PoLlAMmg6Bx1bDwCXmjSyb5/VMSt6Zvfkok9ccwmaDsT0jPbroBmgXUYK+N5uLqz39wxZOJ6ZYnEhERBzphsYb5mJ6uNsYPHgwgwcPzryLIR7qlufM7Y02fQM/PgQPzIHyN1udSsThbq5UhBG31+CdBbt4de6f1CkTSu0y2fy/zZ4B+5eaQ8l3/gwZ/xQEXj5QrYO5VkLVduDtm+Vp/er141zyOQoFFHLo5yKe768TCbwwcxsAT7SpQuvqxS1OlDde7BjB2v1n+Cs2kWdnbOWLfo20xZiIiIfIUeFts9ku+wGgHwji1mw2uHMMJMbCnl/gu54wYCEUr2F1MhGHe7RVJTb+fYZfd8by2JSN/DykJaFBvld/wul95n7bW76H+KP/Hi9eC+r3gTo9oODVh8O+2fZNB6aX/OJ8SjqDJm/kQloGzasU4cnbqlkdKc8E+nnzUe/6dI1ayW+7Yvl2zd880LSi1bFERMQBclR4G4ZB//798ff3ByA5OZlBgwZdtqr5zJkzHZdQxNm8faD7V+ZK50c3wOR74OHFEFLa6mQiDuXlZWP0vZHc+fEKDp+5wDMztjDh/oZZb6CmJMKO2eaq5IdW/Xs8oBDUudcsuEtFaicAcQrDMHh+5jb2nTxPiRB/PuxVH2+v/PW9VrNUCC/cUYORP+3gzXk7uSm8CNVLBlsdS0REblCOCu9+/fpledy3b1+HhhGxjF8Q3DcdvmoPp/fClHvhwfkQoGkG4llCg3wZ36ch94xfxeIdJ/h8xX4GtqwEf68yh5L/ORvSLq7dYYPKt0L9vlC9I/gGWBld8oHJa/7mpy3H8PayEXVfA4oW9Lc6kiX6N6vIsj0nWbr7JEO/38ycIc0J8NWuACIi7ixX+3jnJ1rVPJ85exC+bA+JJ6BiS+j7I/jkz1/8xLNNXvM3UbOXca/Pch4vvI6AhL///WBYZXO/7Xq9IbSMdSHF5ThzVfPow+e499NVpGUYvHRnTR5uWcmh13c3JxNSuOPD5ZxKTPXI/ctFRDyB01Y1F/F4hStCnx/ALxgOroBZg8ButzqViOOkXeD/27vzsKjKtw/g3zMDwyL7joKACyqCIG7hvuWau+aWaZamaaakZlmp7eaahbb91N4yNc2tJJfMNRUVBVFcEUSQTVFW2WbO+8fkJKEywAxnGL6f6/ISzvKce+aZ43ifZ0PMVoy9+gb+Np+BUJMtMM+5CZVpHXXL9sS9wOuRQOfZVU66u//QHc1XN0f3H7rrKHgyVvfyijBtw1kUK0X0bu6Klzv6SB2S5JytzbB0RCAAYP3xBPx1OU3iiIiIqCqYeBP9l3sgMPJH9YzNF7cB+96VOiKiqhFFICkS+H0WsLQJ8OvLEG4chAwiouX+eLNoCiY6/gzlgK/Us/rraPz21btXEZsRi6t3r+qkPDJOKpWI0F+ikHz/AbwcLbFkhI7WmTcCXZu4YGIH9UOIOVvOIz2nQOKIiIiosph4Ez1Ow27A4DXqn0+GAce/lDYeosrITQf+XgWsDgG+7w6cWQsUZgG2nkDnucCMKNR5dQ/+MOmGQwl5WLFftwmylcIK1gprWCmsdFouSUcfdbrmcBwOXsmAmYkMq8cGw8b8KTPt10Jz+zRBUzdr3M0rwpu/REOl4ghBIqKaiGO8y8Ex3rXc318A+99X/zzsf0DAcGnjISpPSRFwba96VvJr+wBRqd5uYg40G6Bec9unCyD797nrzqhkvLEpCgCw7qU26FZL1kwm6R2/fgcv/C8CKhH4fFgLPN/GU+qQDNK1tBw89+UxFJaoOP6diMiAcIw3ka60nwG0m6r+efsU4MYhScMheqLUC8Cet4HlzYDNL6jXpReVQL3WwHMrgDevAMO+V/fmkJX+p39QUD2Me8YLADBrcxSS7uVL8QqolknLLsCMTeegEoERrTyYdD9FY1drvPecHwDg8z1XcPF2lsQRERFRRbHFuxxs8SaoVMDWl9RrGyus1cuMubeQOioiID8TiNkKRP0EpET/u93KFWgxUt267dJUq6IKS5QY8fUJnE/KQqCnHX559RmYmXD5ItKPEqUKY76LwKmETDR1s8b21zrAQsHP29OIoojJP0Zif2waGjrXwe+vd+J7RkQkMbZ4E+mSTAYM+Qbw6ggU5QAbhgP3bpZ/HpE+qJTAtf3AlgnAsibAH3PUSbfMVN2VfPRmYFYs0OtDrZNuADAzkSNsTDBsLUwRfes+Ptl9SX+vgWq9Jfuu4FRCJqzMTLDmhVZMILUgCAIWD2sBF2szxGXk4cPdsVKHREREFcAW73KwxZs0HtwH1vUD0i8Cjo2Bl/cBlg5SR0W1xZ3rQNQGIHojkJPy73bXAKDlWCDgeaCOY5Uv89flNExcfwYA8OXolhgQWLfSZX116ivkFObA2swa09tOr3JsJL05++bgXsE92JvbY0mvJZUqY9/FVEz+MRIAsGZsMPoGuOsyRKP39z/j4kUR+PqFVujj7yZ1SEREtVZFckUm3k8QFhaGsLAwKJVKXL16lYk3qWXfBr5/FshOAjzaAi/uBBSWUkdFxqowB7i4XT1R2q2T/263sFcn2i3Hqpe/07Eley8j7GAc6ijk2Dm9Ixq5VG4Ga4/lHkjOSUY963pICk3ScZQkharWaeLdfPT/8ihyCkrwckcfzbhlqphP/7iEbw7fgJ2lKfa80RlutuZSh0REVCuxq7kOTJs2DbGxsTh9+rTUoZAhsakLvLAVMLcFkk4Bv74MKEukjopqCpUSiD+qHpcdf1T9e5ljVOp926cAS32BXa+rk25BBjTuBYz4QT1RWr/P9ZJ0A8Csnr54poED8oqUeG1DJPKL+BmnqisoVmLqhkjkFJSglZc95vXVfigElfbms00QUM8W9/OLMWtzFJRcYoyIyOCZSB0AUY3j0kw9jvb/BgFXwoHwN4HnVgKCIHVkZMhidwF73lL3mnjIpi7QZzHgNxC4nwhEbVR3J7//yBwCjo3VLdstRgE21dMl10Quw6rRLdF/1TFcTcvF/O0XsPz5QAgV/IyvHbQWBSUFMDdhaxwBi36LxcXb2XCoo8BXY1rCVM5n/5WlMJHhi1FB6L/qGE7cuItvj9zA1K4NpQ6LiIiegok3UWV4haiXZvrlRSByPWBTD+gyV+qoyFDF7lJ/VvCfVqnsFOCXcYCLH5B+6d/9CmvAfyjQ8gXAo40kD3VcrM3x1eiWGPN9BLafS0YbbweMaVe/QmX0athLT9FRTfNrZBI2nkqEIABfjAqCu62F1CHVeA2crbBoYHPM/fU8lu27gvYNHRHoaSd1WERE9AR83ExUWX4DgX7/TC508GPg7P9JGw8ZJpVS3dL936Qb+Hdbeqz6Z5/OwJBvgdlXgYGrAM+2kvakaNfAEXN6NwEALNx1EReSuXYwVdzl1GzM3xEDAHijR2N0auwscUTGY0RrD/QPcEeJSsQbm84hr5DDQoiIDBUTb6KqaDsJ6Biq/vm3mcDVvZKGQwbo+p+lu5c/ybD/AeN/AwJHGtSEfZM7NUDPZq4oUqowdUMksvKLpQ6JapDcwhK89tNZFBSr0KmxE17v3ljqkIyKIAj4ZEgA6tqaI+FuPhbuuih1SERE9ARMvImqqsf7QOBoQFQCv4wHks5IHRFJJe8OcP0AcGyFep3tVcHAz89LHVWVyGQClo0IhIe9BW5lPsCbW6Kh7WIYKTkpSMpOQsqjy59RrSGKIt769Txu3MmDu605Vo4MglzGuTB0zdbSFCtGBkEQgC2RSfgtWosHfUREVO04xpuoqgQBGPglkJsOxB1QJ1oT9wFOjaSOjPRFFIHsZCDlPJASDaT+83d2cuXLtHLVXXw6ZmtpijVjW2HYmuP481Iavj1yA692KX8ipzbfteFyYrXYD8cTsPt8CkxkAr4aEwxHKzOpQzJa7Ro4Ynq3Rvjyr+t4Z3sMWta3g4e94fScISIiJt5EuiE3BZ7/P2B9fyAlCvhpKPDyfsDacJMp0pJKBWTeAFKj1cn1w2T7Qebjj3dooF7my62F+m9Xf+C7ruqJ1B47zltQz27u1V6PL6LqAjxssWCgH+Zvv4DP915BkKcd2jVwlDosMlBnE+/h4/BLAIB3+jVDKy97iSMyfjN6NMax63dwLvE+Zm2OwqbJIexhQERkQJh4E+mKmRUwdgvwv17AvXjg5xHAhN2AmbXUkZG2lMVAxpXSrdipMUBRbtljBTng3BRwb/Fvou0WAJjblD22z+J/ZjUXUDr5/uc/xX0+A2RyPbwg3RrTtj7OJNzD9nPJeH3jOeye0QnO1k9uxezfuD8yCzLhYO5QjVGSPmlTp5l5RZi+4SyKlSL6BbjhpQ7e1RdgLWYql+GLkS3Rb9VRnE64h7CD1zGjB8fUExEZCkHUdrBeLZWdnQ1bW1tkZWXBxuYx/6Em+q+7cerkO/8O0LC7es1vE4XUUdF/FT8A0i7+04r9T6KdFgsoC8seKzcD3Pz/acX+J9F28QNMK7Ak0mPX8a6nTrr9Blb99VST/KISDA77G1fTchHSwBE/vdKOrWqkoVKJmLD+NI5czYCPUx3smt4B1uamUodVq2w/l4RZm6Mhlwn45dVn0MqLD76IiPSlIrkiE+9yMPGmSkmKBH54DijOB1qMAoZ8LemyULXeg/vqluvU8/92Fb9zVT0h3n+Z2ahbrh/tLu7kC8h10EFIpQRuHgdy09Rjur3a14iW7v+6np6DgV/9jfwiJaZ3a4TZ/yw5RrTqwDUs338V5qYy7JjWAU3d+L0phZmbzmFH1G142Fsg/I1OsOHDDyIivWDirUNMvKnSru0Hfh6pTu46zASeXSR1RLVDbvo/yXXUv93F7yU8/lhLJ3Vi/Wh3cXsfQMYFH8qzK/o2Zmw8BwBYO6E1ujflfAa13bFrdzBubQREEVg6IhDDW3lIHVKtlV1QjP6rjuJW5gMMDqqLlaNaSh0SEZFRYuKtQ0y8qUrO/QTsnKb+ue/nQLtXpY3HmIgikHWr9IRnqeeBJy1dZetZuhXbvQVg7c6eCFXw/s4L+L8TN2FrYYrdMzpyFuVaLCXrAfqvOobMvCKMauOJz4a1kDqkWi/y5j08/80JKFUiVowMxJCWfBBCRKRrTLx1iIk3VdnhJcDBjwAIwIj1QPPBEgdUA6mU6rHzKdGlZxcvuP+YgwXAsVHpVmz3QMCS4xx1rbBEiee/PoHopCwEetjilykhMDP5t+v8iC0jkJGXAec6ztgyYouEkZKutP62NVJzU+Fm5YYzk88AAIqVKoz69iQib96Dn7sNtr3WHuamNW8IhTF62PXfyswE4TM6ob4jH44REelSRXJFzmpOpG+dZwM5t4Eza4Ftk4E6zoB3B6mjMlwlRUDGpdKt2Kkx6vHy/yUzAVyaAW6PdBd39VfPME96Z2YiR9jYYPRfdQzRSVn4ZPclLBrkr9l/4tYJzTreZBxSc1ORnFN6vfrFf1xG5M17sDY3wZoXgpl0G5Bp3Rrh2LU7OJWQiRmbzmHLlBCYyjmUhohICky8ifRNEIB+S9Vjjy//DmwcDUzcA7j6SR2Z9IrySs8snhINpF8CVMVljzWxUM8s/mgrtkszwOTJy1mR/nnYW2LFyEBMXH8GP5y4iVbeDhgYWFfqsKia7LmQgu+PxQNQj+v2cqwjcUT0KLlMwIpRQeiz8giibt3HqgPX8GYvToZIRCQFJt5E1UEmB4Z9D/zfIOBWBLBhOPDyPsC2Fo25e3CvdCt2ynng7jVAVJU91sz23xbsh4m2U+MaOQN4bdC9qSumdWuIsINxmPfrefi5W6ORizXiZsRJHRrpUcKdPMzZch4AMLlzA/Ru7iZxRPQ49ews8OnQAEz/+Ry+OngdHRo54ZkGjlKHRURU63CMdzk4xpt0Kj8TWNtbvZSVczNg4h+Ahb3UUeleTuojk55FqRPt+4mPP9bKteykZ3ZenPSshilRqjDuf6dw4sZdNHaxws7pHWCp4LNdY+Ox3APJOcmoa10PLeQbcSklG2287fHzpGfYhdnAzdkSjS2RSXC3NceeNzrD1pJLjBERVRUnV3tETk4OunfvjuLiYiiVSsyYMQOTJk3S+nwm3qRz9xOB//VSz77t1QF4YRtgai51VJUjiuqluh4u2/WwRTsv/fHH23k9MunZw5nF2UpmLNJzCvDcqmNIzynEkJb1sPz5QAh8gGJUHibeViYucMxZCycrBXbP6ARXmxr6b1gtkldYgue+PIb4O3noF+CGsDHBvD+JiKqIifcjlEolCgsLYWlpifz8fPj7++P06dNwdNSumxUTb9KL1AvAur5AYTbgNwgYvs7wu1ErS9Rdw//bXbwwq+yxggxwbPyfNbIDjLN1n0qJuHEXY76PgFIl4pMhARjTrr7UIZEOPUy85aIj6hf+gB9fbocOjZykDou0FH3rPoatOY4SlYjPh7XA8208pQ6JiKhG46zmj5DL5bC0VC+fUVBQAKVSCSN/1kA1gZs/MPIn4KdhQOxOYM/bQN/FhtO9uqQQSI8t3YqddhEoeVD2WLlCPcnZo93FXZsDCk6yVBu1a+CIOb2b4LM/LiP0969wNdcTvi6OGBMwRurQSAdKVP9+f4Y+68uku4YJ9LTDm72aYPGey1iw6yJaedujoTNXgSAiqg6SJ95HjhzBkiVLEBkZiZSUFGzfvh2DBw8udczq1auxZMkSpKSkoHnz5li5ciU6deqk9TXu37+PLl264Nq1a1iyZAmcnPgfBTIADboAQ74Gfn0ZOPUNYOMOdJxV/XEU5qhb4B/tLp5xCVCVlD3WtI665frRNbKdmwImiuqPmwzW5E4NcCbhHtbHr8WiY3dR16oeE28jkF1QjHv5RQAAMxMZXuvaSOKIqDJe7dwAR69l4HjcXczcFIVfp7aHwoTj84mI9E3yxDsvLw+BgYF46aWXMGzYsDL7N2/ejJkzZ2L16tXo0KEDvvnmG/Tt2xexsbGoX1/dhbFVq1YoLCwsc+6+fftQt25d2NnZITo6GmlpaRg6dCiGDx8OV1dXvb82onIFDAdy04C97wB/LgSs3YHAUfq7Xt5dIDW6dHfxu3EAHtMLxML+kQnP/vnj0MDwu8ST5GQyActGBOLHJQKUAO4/KIZKJUImM5AeHVRhoijira3noVSJgADYWihYnzWUTCZg+fNB6PPFEcQkZ2HZ/it4u28zqcMiIjJ6BjXGWxCEMi3e7dq1Q3BwMNasWaPZ1qxZMwwePBiffvppha8xdepUdO/eHSNGjHjs/sLCwlJJfHZ2Njw9PTnGm/Rr73zgxFeAzAQY8wvQoCtw87g6KbdyBbzaVyzhFUUg+3bZSc+ykx5/vHXd0q3Y7oHqpc4Mpes71UiLD3+P5X/GQKVS4MNeUzClS0OpQ6JK+t+xeHz4eywKTA9jchcPNHV1Yi+GGm7vxVS8+mMkAOCnl9uhY2P2BiQiqiijGeNdVFSEyMhIzJs3r9T2Xr164fjx41qVkZaWBgsLC9jY2CA7OxtHjhzB1KlTn3j8p59+ikWLFlUpbqIKe/ZD9RJcF7YCm8YAZtZAXsa/+23qAn0WA34Dy56rUgH34h+Z8OyfRDv/zuOvZe/zn0nPAgErZ/28LqrV3uryCjzNE/HO9hgs2XsFLT3t0I7rB9c4kTcz8Wn4JQDA4r6vYXx7b2kDIp3o3dwNY9rVx88RiQj9JQp7ZnaGQx0OGyIi0heDTrzv3LkDpVJZplu4q6srUlNTtSojKSkJL7/8MkRRhCiKmD59Olq0aPHE499++22EhoZqfn/Y4k2kVzIZMHi1ekKz9FigpKD0/uwU4JcX1bOfO/uWbsVOjQGKcsqWKcgB5yaPtGK3UI/PNretntdEBGB0W0+cTsjE9nPJmL7xHHbP6AgXay49VVPczS3EtA3nUKIS8VwLd7wY4iV1SKRD7/X3Q8SNu4jLyMPcrefx3YutuMQYEZGeGHTi/dB/vwREUdT6i6FVq1aIiorS+lpmZmYwMzOrSHhEuiEzAR7ce8LOf0aEbJ3w+N1yM/VM4o+2Yrv6AaYW+oiUSGuCIODjIf64eDsLV9Ny8cbGKPz4cluYyDmZk6FTqkTM3ByF1OwCNHCug8+GtWBSZmQsFHKsGt0SQ8KO489LadgQkYgXnuHDFSIifTDoxNvJyQlyubxM63Z6ejonRyPjc/M4kJNS/nEmFkDdlqW7izv5AnJT/cdIVAGFJer5MuQyYPXYVhj41TGcuHEXK/68ijm9m0ocHZVn1YFrOHrtDixM5fj6hVawMjPBlTtXUKIqgYnMBE2cmkgdIulA87q2mNunCT7afQkf/h6Ldj4OaOxqLXVYRERGx6CbHBQKBVq1aoX9+/eX2r5//360b99er9cOCwuDn58f2rRpo9frEGnkpml33MBVwMQ/gL6fAUFj1C3dTLrJADVc1RDmH5uj4aqGaORihc+GqYf5hB2Mw1+Xtfy8kyQOX83Aqr+uAQA+HuIP338SsR7/1wP+a/zR4/96SBke6djEDj7o7OuMwhIVXt94DgXFSqlDIiIyOpIn3rm5uYiKitJ0B4+Pj0dUVBQSExMBAKGhofj++++xdu1aXLp0CbNmzUJiYiKmTJmi17imTZuG2NhYnD59Wq/XIdKw0rIXh7W7fuMg0pOBgXUx/p8xwrM2RyPpXr7EEdHj3L7/ADM3nYMoAmPa1cfQYA+pQyI9k8kELB3RAo51FLicmoPP91yROiQiIqMjeeJ95swZtGzZEi1btgSgTrRbtmyJ999/HwAwcuRIrFy5Eh988AGCgoJw5MgRhIeHw8uLY5DIyHi1V89ejieNoRQAm3rq44hqgBDPEHTx6oIQzxDNtnf6N0Oghy2yHhRj2oazKCxhy5ohKSpRYdrPZ3Evvxj+9Wzw/nN+UodE1cTF2hxLRwQCANb+HY+DV9IljoiIyLgY1Drehqgia7MRVVnsLvXs5QA0E6oB0CTjz//f45cUI6pBku7lo/+qY8h6UIwXQ7zwwSB/qUOifyz67SLW/Z0AG3MT7J7RCZ4OlqX2eyz3QHJOMupZ10NSaJJEUZI+Ldx1EeuPJ8DJSoE/3ugMZ2tOOEtE9CQVyRUlb/E2VBzjTZLwG6hOrm3+053cpi6TbjIaHvaWWDkyCADwfyduYmdUsrQBEQBg9/kUrPs7AQCw7PmgMkk31Q7z+jZFE1dr3Mktwpyt0WD7DBGRbrDFuxxs8SZJqJTqWc5z09Rjv73aAzK51FER6dTSvVfw1cHrsFTIsWt6BzRy4UzKUrmRkYuBX/2N3MISTOnSEPP6Pn7WebZ41w5XUnMw8KtjKCxRYcEAP7zUwUfqkIiIDBJbvIlqOpkc8OkEBAxX/82km4zQrGd90b6hI/KLlJj601nkF5VIHVKt9KBIidc2nEVuYQna+jhgdi9fqUMiiTVxs8a7/ZsBAD4Nv4xLKdkSR0REVPMx8SYiIr149bdXMWLLCLz626uP3S+XCfhiVEu4WJvhWnou3tkWw26t1UwURby74wIup+bAycoMX41uCRM5/2tAwAvPeKFnMxcUKVWYsfEcHhRxIkQioqrgtysREenF7mu7sTV2K3Zf2/3EY5ytzfDl6JaQywTsiLqNn08lVmOE9MuZW/j1bBJkAvDl6JZwsTGXOiQyEIIgYPGwFnD+58HYx+GxUodERFSjMfF+Ak6uRkRUPdo1cMTc3k0AAIt2xSImKUviiGqHi7ez8N7OiwCA2b2bIKSho8QRkaFxtDLD8ufVS4z9dDIR+2PTJI6IiKjm4uRq5eDkakRElZOSkwKlqIRckMPd2v2px4qiiMk/RmJ/bBo87C2w+/VOsLU0raZIa5+sB8UY+NUx3Lybjx5NXfDdi60hkwnlnleROiXj8fHuWHx3NB72lqbYM7MzXNkzgogIACdXIyIiA+Bu7Q4PGw+tEjRBELB0RCA8HSyQdO8B3twSBZWKz4X1QRRFzNkSjZt38+Fhb4FlzwdqlXQDFatTMh6zezdB87o2uJdfjNBfeG8SEVUGE28iIjIIthamWDO2FRQmMvx5KR3fHr0hdUhG6fuj8dgXmwaFXIbVY4NhZ6mQOiQycGYmcqwa3RIWpnL8ff0uvj/Ge5OIqKKYeBMRkcHwr2eLhQOaAwCW7L2CkzfuShyRcTmdkInP9lwGALw/wA8tPOykDYhqjIbOVlgwwA+A+t7kXAxERBXDxPsJOLkaEVHV7Ivbh11XdmFf3L4KnTe6rSeGtqwHpUrE6xvPIT2nQE8R1i4ZOYWYtuEslCoRg4PqYmy7+hUu49vIb7H8xHJ8G/mtHiIkQzeyjSf6NHdDsVLEjE3nkFdYInVIREQ1BidXKwcnVyMiqhyP5R5IzklGPet6SApNqtC5+UUlGBz2N66m5eKZBg746eV2XF+6CpQqEeP+F4HjcXfR2MUKO6Z1QB0zkwqXU5U6JeNwP78IfVYeRWp2AUa29sTi4S2kDomISDKcXI2IiGo0S4UJ1rzQCnUUcpy8kYkVf16VOqQabeWfV3E87i4sFXKseSG4Ukk3EQDYWSqwYmQQBAHYfOYWwmNSpA6JiKhGYOJNRER6Ma/jPHzS/RPM6zivUuc3dLbCZ8PUrWlhB+Pw12WuIVwZB6+k48u/rgMAPh0agEYu1hJHRDVdSENHvNa1IQBg3q/ncfv+A4kjIiIyfEy8iYhIL6a3nY63O72N6W2nV7qMAYF1MT7ECwAwa3M0bmXm6yq8WiHpXj5mbY4CAIx7xguDgupJGxAZjZk9fRHoaYfsghLM3BwFJZcYIyJ6KibeRERk0N7p3wyBnnbIelCMaT+fRWGJUuqQaoTCEiWm/XwO9/OL0cLDFu8+10zqkMiImMpl+GJkEOoo5DgVn4k1h65LHRIRkUFj4k1ERAbNzESOsDEtYWdpivNJWfjo90tSh1QjfLL7EqJv3YethSnCxgTDzEQudUhkZLyd6uCDQf4AgBV/XsO5xHsSR0REZLiYeD8BlxMjIjIcHvaWWDEyCADw48mb2BmVLG1ABm5X9G38cOImAGDFyEB4OlhKHBEZq6HB9TAwsC6UKhFvbIpCTkGx1CERERkkJt5PMG3aNMTGxuL06dNSh0JEVCM1/aopbD61QdOvmuqkvG5NXDC9WyMAwNvbYnA9PUcn5Rqb6+m5mPfreQDAtG4N0b2pq8QRkTETBAEfDfFHPTsLJGbmY8HOi1KHRERkkJh4ExGRXuQW5SKnKAe5Rbk6K3PWs75o39AR+UVKTPnpLPIKS3RWtjHILyrBaxsikV+kREgDR8zq6St1SFQL2Jib4otRQZAJwLZzyeyRQkT0GEy8iYhIL3wdfeHn7AdfR90lf3KZgC9GtYSLtRmup+di/vYYiCJnUwYAURQxf/sFXE3LhYu1Gb4YHQQTuW6/5vVRp2QcWns7YEaPxgCAd7df4AoERET/IYj8H8tTZWdnw9bWFllZWbCxsZE6HCIiAnAqPhOjvzsJpUrER4P98cIzXlKHJLmfIxLxzvYYyGUCfn6lHdo1cJQ6JKplSpQqjPr2JM7cvIfg+nb45dUQnT/8ISIyJBXJFfmvIRER1ThtfRzwVp8mAIAPfotFTFKWxBFJKyYpCwt3qcfWzu3dhEk3ScJELsOKkUGwNjPB2cT7WPUXlxgjInqIiTcREdVIkzo1wLN+rihSqjB1QySy8mvnbMpZ+cV47edIFClVeNbPFZM7N5A6JKrFPB0s8fHQAADAV39dw+mETIkjIiIyDEy8iYioRhIEAUtHBMLTwQJJ9x4g9JcoqFS1a/SUSiXizS1RuJX5AJ4OFlg6IhCCIEgdFtVyAwPrYliwB1QiMHNTFLIe1M6HYkREj2Li/QRcx5uIqGrmH5iPabunYf6B+Xq7hq2FKdaMbQWFiQwHLqfjmyM39HYtQ/Tt0Rv481I6FCYyrBnbCrYWpnq93thtY9H7p94Yu22sXq9DNd+iQc3h5WiJ5PsP8A4nQSQi4uRq5eHkakREleOx3APJOcmoZ10PSaFJer3WxlOJeHtbDGQC8POkZ/BMLRjjfPLGXYz9PgJKlYhPhwZgdNv6er9mddYp1XxRt+5j+JrjKFGJWDK8BUa09pQ6JCIineLkakREVKuMauOJocH1oBKB1zeeQ3pOgdQh6VV6TgFe33gOSpWIocH1MKoNExoyPEGedpj1rHrpuQW7LiLhTp7EERERSYeJNxER6cUfY/9A5ORI/DH2D71fSxAEfDTYH76uVsjIKcSMjedQolTp/bpSKFGqMGPjOWTkFKKJqzU+GuzPcd1ksKZ0aYhnGjggv0iJGZvOoajEOO9LIqLyMPEmIiK9CHANQLB7MAJcA6rlepYKE6x5oRXqKOQ4eSMTy/dfrZbrVrfl+6/i5I1M1FHIsfqFYFgqTKQOieiJ5DIBK0YGwdbCFOeTsrDiT+O8L4mIysPEm4iIjEZDZyt8NqwFAGD1oTgcuJQmcUS6deBSGlYfigMALB7eAg2drSSOiKh87rYW+OyfJca+PhyH43F3JI6IiKj6MfEmIiKjMiCwLia09wYAhP4SjVuZ+dIGpCO3MvMxa3MUAGBCe28816KutAERVUDfAHeMbusJUQRCN0fjXl6R1CEREVUrJt5ERKQXkbcjceLWCUTejqz2a7/TrxmCPO2Q9aAY034+i8ISZbXHoEuFJUq8tuEssgtKEORph3f6NZM6JKIKe+85PzRwroPU7ALM23aeS4wRUa3CxJuIiPRi0KZBaL+2PQZtGlTt11aYyBA2Nhh2lupxpR/9fqnaY9ClD3+PRUxyFuwsTRE2NhgKE359U81jqTDBqlEtYSoXsPdiGjaeuiV1SERE1Ybf3EREZJTq2VlgxcggAMCPJ29iZ1SytAFV0o5zyfjpZCIEAVg5Mgj17CykDomo0vzr2WJu76YAgA9+v4jr6TkSR0REVD04FeoThIWFISwsDEplze6eSEQklUnBk5BVmAVbM1vJYujWxAWvd2+EL/+6jre3xcDP3QaNXa0li6eirqXl4O1tMQCA17s1QtcmLpLGYwh1SjXfyx19cORaBo5eu4MZG6OwfVp7mJnIpQ6LiEivBJEDbJ4qOzsbtra2yMrKgo2NjdThEBFRBSlVIsb9LwLH4+6ikYsVdk7rgDpmhv/cOa+wBIPC/sb19Fx0aOSI/5vYDnIZ1+sm45CeXYA+XxxFZl4RXunog3ef85M6JCKiCqtIrsiu5kREZNTkMgGrRreEq40ZrqfnYv72GIOf1EkURby9LQbX03PhamOGL0a1ZNJNRsXFxhxLhquX/vv+WDyOXM2QOCIiIv1i4k1EREbPycoMX40JhlwmYEfUbWyISJQ6pKf6KSIRu6JvQy4TEDYmGE5WZlKHRKRzPZq54sUQLwDqpf/u5BZKHBERkf4Yfl+7GkAURZSUlHA8OFWaXC6HiYkJBIEtWkT60sbbAW/1aYJPwi/jg99i0cLDFi087KQOq4zoW/fx4W+xAIC3+zZFa28HiSMi0p93+jXDyRt3cTUtF3O3nsf/xrfmdyERGSWO8S5Hef32i4qKkJKSgvz8fAmiI2NiaWkJd3d3KBQKqUMh0omOazsiNTcVblZuODbxmNThAFA/KH31x0jsi01DPTsL7J7REXaWhnPP3c8vQv9Vx5B8/wF6N3fF1y+0MqgkxGO5B5JzklHPuh6SQpOkDoeMxOXUbAz86m8UlaiwaGBzjG/vLXVIRERaqcgYb7Z4V4FKpUJ8fDzkcjnq1q0LhUJhUP9BoppBFEUUFRUhIyMD8fHxaNy4MWQyjgKhmi/hfgKSc5JRUFIgdSgagiBgyYhAXP7yGBIz8/HmL9H47sXWkBnA+GmVSkToL9FIvv8AXo6WWDIikN8pVCs0dbPBO32bYuFvsfg4/BLaNXBAUzdOaEtExoWJdxUUFRVBpVLB09MTlpaWUodDNZiFhQVMTU1x8+ZNFBUVwdzcXOqQiKrMwcIBhcpCOFgYVldpWwtTrB4bjKFrjuPA5XR8c+QGpnZtKHVYWHM4Dn9dToeZiQyrxwbDxtxU6pCIqs349t44fDUDB69k4I2NUdg5vQPMTbnEGBEZDzar6QBbJ0kX+DkiY3N+6nlkzMnA+annpQ6lDP96tlg0sDkAYMneyzgRd1fSeI7H3cGyfVcAAB8O8kfzulwnm2qXh71RnKzMcCUtB5+GX5I6JCIineL/9ImIqFYa1cYTQ4PrQSUCr288h/RsabrEp2UXYMbGc1CJwIhWHni+jackcRBJzcnKDMueDwQA/HDiJg5cSpM4IiIi3WHiTUREtZIgCPhosD+auFrjTm4hXt94DiVKVbXGUKJU4fWfz+FObhGaulnjg0H+1Xp9IkPTxdcZL3f0AQDM2XpesgdiRES6xsTbAChVIk7E3cXOqGSciLsLpUq6ieYnTJiAwYMHV/i8hQsXIigoSCcx3Lt3D+PGjYOtrS1sbW0xbtw43L9/XydlExE9ylJhgtUvBKOOQo6I+Ews23+1Wq+/ZN8VnErIhJWZCda80AoWCo5pJZrbpwmaudsgM68Ib26JhkrC/xcREekKJ1eT2J4LKVj0WyxSsv59outua44FA/zQx99dwsikM2bMGCQlJWHPnj0AgMmTJ2PcuHH47bffJI6MiCpi+YnlyC7Mho2ZDUJDQqUO54kaOlth8fAWmP7zOaw5FIfWXvbo0cxV79fddzEV3xy+AQBYMrwFfJzq6P2aRDWBmYkcX44OwnNfHsPRa3ew9u94vNKpgdRhERFVCVu8JbTnQgqm/nS2VNINAKlZBZj601nsuZCil+tu3boVAQEBsLCwgKOjI3r27Im8vDwsXLgQP/zwA3bu3AlBECAIAg4dOgQAeOutt+Dr6wtLS0s0aNAA7733HoqLiwEA69evx6JFixAdHa05b/369QCArKwsTJ48GS4uLrCxsUH37t0RHR39xNguXbqEPXv24Pvvv0dISAhCQkLw3Xff4ffff8eVK1f08n4QkX4sP7Eciw4vwvITy6UOpVzPtaiLCf+sHTxrcxRuZebr9XqJd/Px5hb1v4Uvd/RB34Da+aCV6EkauVjjvef8AACL91zGheQsiSMiIqoatng/QVhYGMLCwqBUKrU+RxRFPCjW7nilSsSCXRfxuM5TIgABwMJdsejQyAlyLdaXtTCVa7Xea0pKCkaPHo3PP/8cQ4YMQU5ODo4ePQpRFDF79mxcunQJ2dnZWLduHQDAwUG9DJC1tTXWr1+PunXrIiYmBpMmTYK1tTXmzp2LkSNH4sKFC9izZw/+/PNPAICtrS1EUUT//v3h4OCA8PBw2Nra4ptvvkGPHj1w9epVTdmPOnHiBGxtbdGuXTvNtmeeeQa2trY4fvw4mjRpUu5rJCKqjHf6NUPUrfuIunUfr204i61TQ2Bmovuu3wXFSkzdEImcghK08rLHvL5NdX4NImMwpm19HL6SgX2xaXhj0zn89npHWCr4X1ciqpn4r9cTTJs2DdOmTUN2djZsbbVb1uVBsRJ+7+/VyfVFAKnZBQhYuE+r42M/6K3Vl1FKSgpKSkowdOhQeHl5AQACAgI0+y0sLFBYWAg3N7dS57377ruan729vfHmm29i8+bNmDt3LiwsLGBlZQUTE5NS5/3111+IiYlBeno6zMzMAABLly7Fjh07sHXrVkyePLlMfKmpqXBxcSmz3cXFBampqeW+PiIyHD8N/QmFJYUwMzGTOhStKExkCBsbjP6rjiImOQsf/h6LjwYHlH9iBS36LRYXb2fDoY4CX41pCVN5zel8VtPqlGo2QRCweFgLRCcdQVxGHj78/RI+Har7e5KIqDow8a5lAgMD0aNHDwQEBKB3797o1asXhg8fDnt7+6eet3XrVqxcuRLXr19Hbm4uSkpKYGNj89RzIiMjkZubC0dHx1LbHzx4gLi4uCee97iWe1EUtWrRJyLD0dW7q9QhVFg9OwusHBmEl9afxk8nE9HG2wGDgurprPxfI5Ow8VQiBAH4YlQQ3G0tdFZ2daiJdUo1m30dBVY8H4Sx/4vAxlOJ6OLrVGvnwCGimo2Jtw5ZmMoR+0FvrY49FZ+JCetOl3vc+pfaoK1P2S7Zj7u2NuRyOfbv34/jx49j3759+PLLLzF//nxERETAx8fnseecPHkSo0aNwqJFi9C7d2/Y2tpi06ZNWLZs2VOvpVKp4O7urhkn/ig7O7vHnuPm5oa0tLLrdmZkZMDVVf+THRERdW3igte7NcKqv67j7W0x8HO3QWNX6yqXezk1G/N3xAAAZvbwRafGzlUuk6g2aN/ICa92boivD8fhrV9jEOhpV+MeWhER1Zz+bTWAIAiwVJho9adTY2e425rjSW24AtSzm3dq7KxVeRVpDRYEAR06dMCiRYtw7tw5KBQKbN++HQCgUCjKjGv/+++/4eXlhfnz56N169Zo3Lgxbt68WeqYx50XHByM1NRUmJiYoFGjRqX+ODk5PTa2kJAQZGVl4dSpU5ptERERyMrKQvv27bV+jUREVfFGT190aOSI/CIlpm44i7zCkiqVl1tYgtd+OouCYhU6NXbC690b6ShSotoh9FlftPCwRdaDYoRujpZ06VUiospg4i0RuUzAggHq2Tr/mzI//H3BAD+tJlariIiICHzyySc4c+YMEhMTsW3bNmRkZKBZs2YA1OO3z58/jytXruDOnTsoLi5Go0aNkJiYiE2bNiEuLg6rVq3SJOoPeXt7Iz4+HlFRUbhz5w4KCwvRs2dPhISEYPDgwdi7dy8SEhJw/PhxvPvuuzhz5sxj42vWrBn69OmDSZMm4eTJkzh58iQmTZqE5557jhOrEdUw8fficT3zOuLvxUsdSoXJZQK+GNUSrjZmuJ6ei7e3xUAUK/cffVEU8dav53HjTh7cbc2xcmQQZDr+t726HEo4hL3X9+JQwiGpQ6FaRmEiwxejWsJSIceJG3fxzZEnD1kjIjJETLwl1MffHWteCIabrXmp7W625ljzQrBexjDZ2NjgyJEj6NevH3x9ffHuu+9i2bJl6Nu3LwBg0qRJaNKkCVq3bg1nZ2f8/fffGDRoEGbNmoXp06cjKCgIx48fx3vvvVeq3GHDhqFPnz7o1q0bnJ2dsXHjRgiCgPDwcHTu3BkTJ06Er68vRo0ahYSEhKd2G9+wYQMCAgLQq1cv9OrVCy1atMCPP/6o8/eCiPSr07pOaPxlY3Ra10nqUCrFycoMX40JhlwmYFf0bfwUkVipcn44noDd51NgIhPw1ZhgOFrV3InJXtj2Avps6IMXtr0gdShUC/k41cGigc0BAMv3XUXUrfvSBkREVAGCWNlH+LXEw1nNs7KyykwmVlBQgPj4ePj4+MDc3PwJJZRPqRJxKj4T6TkFcLE2R1sfB523dJPh09XnichQeCz3QHJOMupZ10NSaJLU4VTad0du4OPwS1DIZdgyJQSBnnZan3su8R6e/+YEipUi3n/ODxM7Pn4ujZrCWOqUai5RFDF94znsPp8CL0dL7J7RCVZmnLKIiKTxtFzxv9jibQDkMgEhDR0xKKgeQho6MukmIqMwpOkQjA0YiyFNh0gdSpW80skHvfxcUaRU4bUNZ3E/v0ir8+7lFWHahrMoVoroF+CGlzp46zdQolpAEAR8MjgA9ewscPNuPhbuuih1SEREWmHiTUREevFlvy/x09Cf8GW/L6UOpUoEQcCSEYGo72CJ5PsP8OYv0VCVM7GTSiVi5uYo3M4qgI9THSwe1oJLIhLpiK2lKVaMDIJMALZGJmFX9G2pQyIiKhcTbyIionLYWphi9dhgKExkOHA5HV+XM7FT2MHrOHw1A+amMqx5IRjW5qbVFClR7dDWxwHTuzcGAMzfHoNbmfkSR0RE9HRMvImIiLTgX88WH/wzsdPSvVdwIu7uY487du0Olv95FQDw0eAANHV7+pgvIqqcGd0bIbi+HXIKSjBrcxRKlCqpQyIieiIm3kRERFoa2cYTw4I9oBKB1zeeQ8r9BzgRdxc7o5JxIu4uku89wBubzkEUgVFtPDG8lYfUIRMZLRO5eokxKzMTnLl5D2EHucQYERkuTgNJRER6MXDjQGTkZ8DZ0hm7Ru+SOhydEAQBHw32x8XbWbicmoMuSw6iSPnveG9TuYBipQg/dxss/Kd1nIj0x9PBEh8P8ccbm6LwxYGr6NDIEa29HaQOi4ioDLZ4ExGRXpxNOYuTSSdxNuWs1KHolIVCjlFtPQGgVNINAMX//D66rSfMTeXVHhtRbTQoqB6GtqwHlQi8sSkK2QXFUodERFQGE28iIqIKUKpEfHP4xlOPWX0oDspyZj4nIt1ZNKi5ZuWBd7dfgCjy/iMiw8Ku5kREpBdJoUlSh6AXp+IzkZJV8NRjUrIKcCo+EyENHaspquphrHVKNZ+1uSlWjgrCiK9PYFf0bXRt4oyhwZxjgYgMB1u8iYiIKiA95+lJd0WPIyLdCK5vj1k91UuMvbfjAm7ezZM4IiKifzHxNgQqJRB/FIjZqv5bpZQslAkTJmDw4MEVPm/hwoUICgrSSQwff/wx2rdvD0tLS9jZ2emkTCIiXXGxNtfpcUSkO1O7NkJbHwfkFSkxY1MUirnEGBEZiFqTeOfn58PLywuzZ8+WOpTSYncBK/2BH54Dfn1Z/fdKf/X2WqqoqAgjRozA1KlTpQ6FiKiMtj4OcLc1h/CE/QIAd1tztPXhzMpE1U0uE7BiZBBszE0Qfes+vvjzmtQhEREBqEWJ98cff4x27dpJHUZpsbuAX14Esm+X3p6dot6up+R769atCAgIgIWFBRwdHdGzZ0/k5eVh4cKF+OGHH7Bz504IggBBEHDo0CEAwFtvvQVfX19YWlqiQYMGeO+991BcrJ41dP369Vi0aBGio6M1561fvx4AkJWVhcmTJ8PFxQU2Njbo3r07oqOjnxrfokWLMGvWLAQEBOjl9RNR9VgftR5hp8KwPmq91KHolFwmYMEAPwAok3w//H3BAD/IZU9KzWuuRYcWIXRvKBYdWiR1KERPVM/OAp8NawEACDt0HSdv3JU4IiKiWjK52rVr13D58mUMGDAAFy5c0N+FRBEoztfuWJUS+GMugMfNuikCEIA9bwENugIyLZakMbUEhPL/k5eSkoLRo0fj888/x5AhQ5CTk4OjR49CFEXMnj0bly5dQnZ2NtatWwcAcHBQt9hYW1tj/fr1qFu3LmJiYjBp0iRYW1tj7ty5GDlyJC5cuIA9e/bgzz//BADY2tpCFEX0798fDg4OCA8Ph62tLb755hv06NEDV69e1ZRNRMbp3b/eRXJOMupZ18OEoAlSh6NTffzdseaFYCz6LbbURGtutuZYMMAPffzdJYxOf747+52mThd0XSB1OERP1C/AHSNbe2LzmVuYtTkKf7zRCXaWCqnDIqJaTPLE+8iRI1iyZAkiIyORkpKC7du3lxljvHr1aixZsgQpKSlo3rw5Vq5ciU6dOml9jdmzZ2PJkiU4fvy4jqP/j+J84JO6OipMVLeEf+ap3eHv3AYUdco9LCUlBSUlJRg6dCi8vLwAoFTLsoWFBQoLC+Hm5lbqvHfffVfzs7e3N958801s3rwZc+fOhYWFBaysrGBiYlLqvL/++gsxMTFIT0+HmZkZAGDp0qXYsWMHtm7dismTJ2v32oiIDFAff3c86+eGU/GZSM8pgIu1unu5MbZ0E9VE7w/ww6mETMTfycPb22KwemwwBC0aKYiI9EHyxDsvLw+BgYF46aWXMGzYsDL7N2/ejJkzZ2L16tXo0KEDvvnmG/Tt2xexsbGoX78+AKBVq1YoLCwsc+6+fftw+vRp+Pr6wtfXV/+Jdw0QGBiIHj16ICAgAL1790avXr0wfPhw2NvbP/W8rVu3YuXKlbh+/Tpyc3NRUlICGxubp54TGRmJ3NxcODqWXk7nwYMHiIuLq/JrISLDtqrvKuQX58PS1FLqUPRGLhOMbskwImNRx8wEq0a1xNA1f+OPC6nYdDoR3o5WfFBmZJQqkQ9AqUaQPPHu27cv+vbt+8T9y5cvx8svv4xXXnkFALBy5Urs3bsXa9aswaeffgpAneA9ycmTJ7Fp0yZs2bIFubm5KC4uho2NDd5///3HHl9YWFgqic/Oztb+xZhaqluetXHzOLBhePnHjd0KeLXX7tpakMvl2L9/P44fP459+/bhyy+/xPz58xEREQEfH5/HnnPy5EmMGjUKixYtQu/evWFra4tNmzZh2bJlT72WSqWCu7u7Zpz4ozhbOZHxG9psqNQhEFEtF+Bhi9m9muDTPy7j7W2lhxu6G/nQkNpgz4WUMkN+WK9kqAx6crWioiJERkaiV69epbb36tVL69brTz/9FLdu3UJCQgKWLl2KSZMmPTHpfni8ra2t5o+np5ZdvQH1GGtFHe3+NOwO2NRF2al5NIUBNvXUx2lTXgW6TgmCgA4dOmDRokU4d+4cFAoFtm/fDgBQKBRQKksvZ/b333/Dy8sL8+fPR+vWrdG4cWPcvHmz1DGPOy84OBipqakwMTFBo0aNSv1xcnLSOl4iIiKiyvK0f3zjRGpWAab+dBZ7LqRUc0SkC3supGDqT2dLJd0A65UMl+Qt3k9z584dKJVKuLq6ltru6uqK1NRUvVzz7bffRmhoqOb37OzsiiXf2pLJgT6L1bOXQ0DpSdb+SaL7fKbdxGoVEBERgQMHDqBXr15wcXFBREQEMjIy0KxZMwDq8dt79+7FlStX4OjoCFtbWzRq1AiJiYnYtGkT2rRpg927d2sS9Ye8vb0RHx+PqKgoeHh4wNraGj179kRISAgGDx6MxYsXo0mTJrh9+zbCw8MxePBgtG7d+rExJiYmIjMzE4mJiVAqlYiKigIANGrUCFZWVjp9P4iIiMh4KVUiPtwd+9h9D//nNW9bDIpKVJCxe3KNoVKJeH/XxadNUYxFv8XiWT83djsng2HQifdD/50IQxTFSk2OMWHChHKPMTMz00wEpnd+A4Hn/089e/mjS4rZ1FUn3X4DdX5JGxsbHDlyBCtXrkR2dja8vLywbNkyTXf/SZMm4dChQ2jdujVyc3Nx8OBBDBo0CLNmzcL06dNRWFiI/v3747333sPChQs15Q4bNgzbtm1Dt27dcP/+faxbtw4TJkxAeHg45s+fj4kTJyIjIwNubm7o3LlzmYcpj3r//ffxww8/aH5v2bIlAODgwYPo2rWrzt8TItKPnMIciBAhQIC1mbXU4RBRLXQqPrNMi+h/3c8vxoxNUdUTEFULEUBKVgFOxWdyHg4yGIIoio97WCQJQRBKzWpeVFQES0tLbNmyBUOGDNEc98YbbyAqKgqHDx/We0zZ2dmwtbVFVlZWmcnECgoKEB8fDx8fH5ibm1f+Iiqlesx3bhpg5aoe063jlm4yfDr7PBEZCI/lHpqlp5JCk6QOh3SAdUo1zc6oZLyhRVLdyKUOnKyqqeGFquxObiGup+eVe1zXJs54vXtjtPS0Y48G0oun5Yr/ZdAt3gqFAq1atcL+/ftLJd779+/HoEGD9HrtsLAwhIWFlRm3rBcyOeCj/fJoRERERFQ+F2vtHmR/OCiALaM1yIm4uxj93clyjzt0JQOHrmTA3dYcff3d0b+FG1p62jMJJ0lInnjn5ubi+vXrmt8fjhN2cHBA/fr1ERoainHjxqF169YICQnBt99+i8TEREyZMkWvcU2bNg3Tpk3TPMUgIqKK6eLdBXfy78DJkpMpGgvWKdU0bX0c4G5rjtSsgseOBxYAuNmql6CimkOberWzNEWnxk44cCkdKVkFWPt3PNb+HQ83G3P08XdD/xbuaFWfSThVH8m7mh86dAjdunUrs338+PFYv349AGD16tX4/PPPkZKSAn9/f6xYsQKdO3eulviqpas5Efh5IiIi0oeHs18Dj53KFmteCObSUzWQtvVaUKzEkasZCI9JwZ+X0pFbWKI51tXGDH393dEvwB2tvZiEU8VVpKu55Im3oWPiTdWFnyciIiL94HrPxqmi9VpQrMTRa3fwR0wK9semIeeRJNzF2gx9/d3USbi3A2dDJ60w8daBR8d4X716lYk36R0/T0RERPqjVIk4FZ+J9JwCuFiru5czuar5KluvhSVKHLt2B7sfJuEF/ybhzo8k4W2YhNNTMPHWIbZ4U3Xh54mIiIio+hWWKPH39TvYfT4V+2NTkf1IEu5kZYY+/q7oF+COdj6OTMKpFKOZ1ZyIiGqul3a+hLv5d+Fo6Yh1g9ZJHQ7pQPcfuiMtLw2udVzx1/i/pA6HiEgnzEzk6N7UFd2buqKoJAB/X7+D8JgU7ItNw53cQvx0MhE/nUyEk5UCvZu7oX+AO9r6OMBELpM6dKpBmHgTEZFe7I/br1nzmYzD1btXkZyTjKyCLKlDISLSC4WJDN2auqBbUxd8XKLC8Th1Er73Yhru5BZhQ0QiNkQkwrGOAr391Ul4OybhpAUm3kRERERERP+hMJGhaxMXdG3igo+HqHA87i7Cz6dgb2wq7uYV4eeIRPwckQiHOuqW8H4Bbghp4MgknB6Ln4onCAsLg5+fH9q0aSN1KNXi0KFDEAQB9+/fr9brrl+/HnZ2dlUqIyEhAYIgICoq6onHSPX6iGqz6CnRSJ+djugp0VKHQkREVCWmchm6+Dpj8fAWOD2/J/5vYluMauMJe0tTZOYVYeOpRIz73ym0+fhPzPv1PI5czUCxUiV12GRAmHg/wbRp0xAbG4vTp09LHYrOde3aFTNnzpQ6DIPj7e0NQRCwadOmMvuaN28OQRA0a8s/PH7lypWPLevu3bvo06cP6tatCzMzM3h6emL69OnIzs7WU/REhsfR0hHOdZzhaOkodShEREQ6YyqXobOvMz4b1gKn5vfEjy+3xei29eFQR4F7+cXYdPoWXlyrTsLf2noeh5mEE9jVnKqguLgYpqamUoehU56enli3bh1GjRql2Xby5EmkpqaiTp06Wpcjk8kwaNAgfPTRR3B2dsb169cxbdo0ZGZm4ueff9ZH6ERERERUzUzlMnRq7IxOjZ3x4aDmiIjPxO6YFOy9oO6OvvnMLWw+cwt2lqbo5aeeHb1DIyeYsjt6rcMar2UmTJiAw4cP44svvoAgCBAEAQkJCZr9kZGRaN26NSwtLdG+fXtcuXJFs2/hwoUICgrC2rVr0aBBA5iZmUEURWRlZWHy5MlwcXGBjY0Nunfvjujof7uWRkdHo1u3brC2toaNjQ1atWqFM2fOlIpr7969aNasGaysrNCnTx+kpKRo9qlUKnzwwQfw8PCAmZkZgoKCsGfPnqe+zvDwcPj6+sLCwgLdunUr9RqfZuzYsTh8+DBu3bql2bZ27VqMHTsWJibaP6eyt7fH1KlT0bp1a3h5eaFHjx547bXXcPToUa3LICIiIqKaw0QuQ4dGTvhkSAAi3umBn19ph7Ht6sPJSoH7+cX45UwSJqw7jdYf/Yk5W6Jx8HI6ikrYEl5bMPGuZb744guEhIRg0qRJSElJQUpKCjw9PTX758+fj2XLluHMmTMwMTHBxIkTS51//fp1/PLLL/j11181Y6r79++P1NRUhIeHIzIyEsHBwejRowcyMzMBqJNZDw8PnD59GpGRkZg3b16plvL8/HwsXboUP/74I44cOYLExETMnj27VMzLli3D0qVLcf78efTu3RsDBw7EtWvXHvsab926haFDh6Jfv36IiorCK6+8gnnz5mn1/ri6uqJ379744YcfNLFt3ry5zPtQUbdv38a2bdvQpUuXKpVDVJP8fvV3bLm4Bb9f/V3qUIiIiKqViVyG9o2c8PGQAES80xM/T2qHF56pDycrM2Q9KMaWyCS8tP40Wn+0H2/+Eo2/LqcxCTdyTLyfoCqTqy0/sRweyz3gsdwDhxIOldoXfy9es+/18NfLnDtw40DN/v9aH7Ves2/bpW0VjgsAbG1toVAoYGlpCTc3N7i5uUEul2v2f/zxx+jSpQv8/Pwwb948HD9+HAUFBZr9RUVF+PHHH9GyZUu0aNECBw8eRExMDLZs2YLWrVujcePGWLp0Kezs7LB161YAQGJiInr27ImmTZuicePGGDFiBAIDAzVlFhcX4+uvv0br1q0RHByM6dOn48CBA5r9S5cuxVtvvYVRo0ahSZMmWLx4MYKCgp44vnrNmjVo0KABVqxYgSZNmmDs2LGYMGGC1u/RxIkTsX79eoiiiK1bt6Jhw4YICgrS+vxHjR49GpaWlqhXrx5sbGzw/fffV6ocoppoyu9T8PzW5zHl9ylSh0JERCQZuUxA+4ZO+GiwuiV80+Rn8GKIF5ytzZBdUIJfzyZh4vozaPXRfoT+EoUDl9JQWKKUOmzSMSbeT1CVydWyC7ORnJOM5JxkFJYUltqnFJWaffcK7pU5NyM/Q7P/v/KK8jT78ovzKxyXNlq0aKH52d3dHQCQnp6u2ebl5QVnZ2fN75GRkcjNzYWjoyOsrKw0f+Lj4xEXFwcACA0NxSuvvIKePXvis88+02x/yNLSEg0bNix13YfXzM7Oxu3bt9GhQ4dS53To0AGXLl167Gu4dOkSnnnmGQiCoNkWEhKi9XvQv39/5Obm4siRI1i7dm2VWrtXrFiBs2fPYseOHYiLi0NoaGilyyIiIiKimk0uE/BMA0d8MMgfJ9/ugc2Tn8H4EC+4WJshp6AE284m4+UfzqD1h38idHMU9semoaCYSbgx4ORqemBjZoN61vUAAGYmZqX2yQW5Zp+9uX2Zc50tnTX7/6uOoo5mn6WppS5D1ni0C/jDxFWl+rfby38nGFOpVHB3d8ehQ4fKlPVwmbCFCxdizJgx2L17N/744w8sWLAAmzZtwpAhQ8pc8+F1RVEss+1RoiiW2fbovqowMTHBuHHjsGDBAkRERGD79u2VLuthr4KmTZvC0dERnTp1wnvvvad5qEFkzN7v8j5yi3JhpbCSOhTSEdYpEZHuyGUC2jVwRLsGjlgwoDnO3LyH8JgU/HEhBWnZhdh2LhnbziXDyswEPZu5oF+AOzr7OsPcVF5+4WRwmHjrQWhIKEJDHt+y6WPvg6TQpCeeu2v0rifumxA0AROCJlQ1PCgUCiiVunlyFhwcjNTUVJiYmMDb2/uJx/n6+sLX1xezZs3C6NGjsW7dOk3i/TQ2NjaoW7cujh07hs6dO2u2Hz9+HG3btn3sOX5+ftixY0epbSdPntTq9Tw0ceJELF26FCNHjoS9fdkHJJXx8IFAYWFhOUcSGYfJrSZLHQLpGOuUiEg/ZDIBbX0c0NbHAe8/54fIxHvYfT4Fey6kIjW7ADuibmNH1G1YmZmgxz9JeBcm4TUKE+9ayNvbGxEREUhISICVlRUcHBwqXVbPnj0REhKCwYMHY/HixWjSpAlu376N8PBwDB48GM2bN8ecOXMwfPhw+Pj4ICkpCadPn8awYcO0vsacOXOwYMECzVjrdevWISoqChs2bHjs8VOmTMGyZcsQGhqKV199FZGRkaXW39ZGs2bNcOfOHVhaPr1nQXJysmaSuYfq16+PkydPIi0tDW3atIGVlRViY2Mxd+5cdOjQ4akPKIiIiIiodpPJBLTxdkAbb3USfu7WPew+n4o/LqQgJasAO6NuY2fUbdRRyNGjmXqJsq5NmIQbOibetdDs2bMxfvx4+Pn54cGDB4iPj690WYIgIDw8HPPnz8fEiRORkZEBNzc3dO7cGa6urpDL5bh79y5efPFFpKWlwcnJCUOHDsWiRYu0vsaMGTOQnZ2NN998E+np6fDz88OuXbvQuHHjxx5fv359/Prrr5g1axZWr16Ntm3b4pNPPqnwWG1HR8dyj1m6dCmWLl1aatu6devg5eWF7777DrNmzUJhYSE8PT0xdOhQrWdXJyIiIiKSyQS08nJAKy8HvNu/Gc7duq/ujh6TgttZBdgVfRu7otVJePdmrujn74auTVxgoWASbmgEsaoDYo1cdnY2bG1tkZWVBRsbm1L7CgoKEB8fDx8fH5ibm0sUIRkLfp6IyNCl5KRAKSohF+Rwt+ZcFUREUlGpREQl3Uf4+RT8cSEVyfcfaPZZKuTo1tQF/QPc0Y1JuF49LVf8L7Z4P0FYWBjCwsJ0NhaaiKi2afBFAyTnJKOedT3ceOOG1OGQDrT5ro2mTp82XwkREemXTCYguL49guvbY37/ZohOykJ4TAp2n09B8v0H2H1e/bOFqRzdm6rHhHdr6gxLBdM/qfCdf4Jp06Zh2rRpmqcYRERUMUXKIs0fIiIi0g9BEBDkaYcgTzu83bcpzj9MwmNSkHTvAXb/87O5qUyThHdv6sIkvJrx3SYiIr3wd/GHSx0XuNRxkToUIiKiWkEQBAR62iHQ0w7z+jZFTHIWdsekIDwmBbcyHyA8JhXhMakwN5WhW5N/k/A6ZkwL9Y3vMBER6cWeF/ZIHQIREVGtJQgCWnjYoYWHHeb1aYoLydmaJDwxMx9/XEjFHxdSYWYiQ9cmzugX4I4ezVxhxSRcL/iuEhERERERGTFBEBDgYYsAD1u81acJLt7ORvg/SXjC3XzsvZiGvRfTYGYiQxdfZ/RvwSRc1/hOEhERERER1RKCIMC/ni3869liTu8miE15mISnIv5OHvbFpmFfbBoUD5PwAHf0aOYCa3NTqUOv0Zh4ExERERER1UKCIKB5XVs0r2uL2b2a4FJKjqYl/MadPOyPTcP+2DQo5DJ09nVCvwB39PRzhQ2T8Apj4k1ERHoxZ98c3Cu4B3tzeyzptUTqcIiIiOgpBEGAX10b+NW1wZu9fHElLQfh59Uzosdl5OHPS+n481I6FHIZOjX+Nwm3tWASrg0m3k/AdbyJiKpm44WNmjWfmXgTERHVHIIgoKmbDZq62WDWs764mparmZjtenouDlxOx4HL6TCVC+jUWD0x27NMwp9KJnUAhmratGmIjY3F6dOnpQ6lWhw6dAiCIOD+/fvVet3169fDzs6uSmUkJCRAEARERUU98RipXh8RERERUU0mCAKauFkj9Flf/BnaBftmdcYbPRqjsYsVipUi/rqcjtlbotH6o/14ad0pbDlzC1n5xVKHbXCYeNdCXbt2xcyZM6UOw+B4e3tDEARs2rSpzL7mzZtDEASsX7++1PErV658YnlvvPEGWrVqBTMzMwQFBek+YCIDd+DFA7gw9QIOvHhA6lBIR1inRETk62qNWc/6Yn9oF+yf1RkzezaGr6s6CT94JQNztp5Hq4/2Y/zaU/jl9C3czy+SOmSDwK7mVGnFxcUwNTWu7iSenp5Yt24dRo0apdl28uRJpKamok6dOhUqSxRFTJw4ERERETh//ryuQyUyeE2cmkgdAukY65SIiB7V2NUaM12tMbOnL66n5yA8JhXhMSm4nJqDw1czcPhqBt7ZLqB9Iyf0D3BDLz832NdRSB22JNjiXctMmDABhw8fxhdffAFBECAIAhISEjT7IyMj0bp1a1haWqJ9+/a4cuWKZt/ChQsRFBSEtWvXokGDBjAzM4MoisjKysLkyZPh4uICGxsbdO/eHdHR0ZrzoqOj0a1bN1hbW8PGxgatWrXCmTNnSsW1d+9eNGvWDFZWVujTpw9SUlI0+1QqFT744AN4eHhoWo/37Nnz1NcZHh4OX19fWFhYoFu3bqVe49OMHTsWhw8fxq1btzTb1q5di7Fjx8LEpGLPqVatWoVp06ahQYMGFTqPiIiIiKimaeRijRk9GmPPzM448GYXvPmsL5q6WaNEJeLI1Qy89WsMWn/8J8b9LwKbTiUiM+/JLeFKlYgTcXexMyoZJ+LuQqkSq/GV6AcT71rmiy++QEhICCZNmoSUlBSkpKTA09NTs3/+/PlYtmwZzpw5AxMTE0ycOLHU+devX8cvv/yCX3/9VTOmun///khNTUV4eDgiIyMRHByMHj16IDMzE4A6mfXw8MDp06cRGRmJefPmlWopz8/Px9KlS/Hjjz/iyJEjSExMxOzZs0vFvGzZMixduhTnz59H7969MXDgQFy7du2xr/HWrVsYOnQo+vXrh6ioKLzyyiuYN2+eVu+Pq6srevfujR9++EET2+bNm8u8D0RERERE9HgNna3w+j9J+F9vdsHsXr5o5m4DpUrE0Wt3MG9bDNp8/Cde+D4CP0ck4m5uoebcPRdS0HHxXxj93Um8sSkKo787iY6L/8KeCylPuaLhY1dzPVh+YjmWn1he7nHB7sHYNXpXqW0DNw7E2ZSz5Z4bGhKK0JDQCsdma2sLhUIBS0tLuLm5ldn/8ccfo0uXLgCAefPmoX///igoKIC5uTkAoKioCD/++COcnZ0BAH/99RdiYmKQnp4OMzMzAMDSpUuxY8cObN26FZMnT0ZiYiLmzJmDpk2bAgAaN25c6prFxcX4+uuv0bBhQwDA9OnT8cEHH2j2L126FG+99Zam+/fixYtx8OBBrFy5EmFhYWVew5o1a9CgQQOsWLFCPRlEkyaIiYnB4sWLtXqPJk6ciDfffBPz58/H1q1b0bBhQ47RJqqEE7dOoFBZCDO5GUI8Q6QOh3Tg55ifkV+cD0tTS4wJGCN1OEREVAM0cLbC9O6NMb17Y8TfydOsE37xdjaOXb+DY9fv4L2dF/BMAwd4OVji51O3ypSRmlWAqT+dxZoXgtHH312CV1F1TLz1ILswG8k5yeUe52nrWWZbRn6GVudmF2ZXKrbytGjRQvOzu7v6Q52eno769esDALy8vDRJN6Dump6bmwtHR8dS5Tx48ABxcXEAgNDQULzyyiv48ccf0bNnT4wYMUKTZAOApaVlqd/d3d2Rnp4OAMjOzsbt27fRoUOHUuV36NChVHf2R126dAnPPPMMBEHQbAsJ0f4//f3798err76KI0eOYO3atWztJqqkEVtGaJYTSwpNkjoc0oG5++dq6pSJNxERVZSPUx1M69YI07o1QsKdPIRfUCfhF5Kz8ff1u/gbdx97nghAALDot1g86+cGuUx47HGGjIm3HtiY2aCedb1yj3O2dH7sNm3OtTGzqVRs5Xm0C/jDxFWlUmm2/XeCMZVKBXd3dxw6dKhMWQ+XCVu4cCHGjBmD3bt3448//sCCBQuwadMmDBkypMw1H15XFMUy2x4limKZbY/uqwoTExOMGzcOCxYsQEREBLZv316l8oiIiIiIqDRvpzp4rWsjvNa1EW7ezcPXh+Kw8XTZ1u6HRAApWQU4FZ+JkIaOTzzOUDHx1oPKdgMHUKbruT4oFAoolUqdlBUcHIzU1FSYmJjA29v7icf5+vrC19cXs2bNwujRo7Fu3TpN4v00NjY2qFu3Lo4dO4bOnTtrth8/fhxt27Z97Dl+fn7YsWNHqW0nT57U6vU8NHHiRCxduhQjR46Evb19hc4lIrVpbaYhuzBbbw8KiYiIyDh4OdbBMw0dn5p4P5SeU1ANEekeE+8nCAsLQ1hYmM4SVEPi7e2NiIgIJCQkwMrKCg4ODpUuq2fPnggJCcHgwYOxePFiNGnSBLdv30Z4eDgGDx6M5s2bY86cORg+fDh8fHyQlJSE06dPY9iwYVpfY86cOViwYIFmrPW6desQFRWFDRs2PPb4KVOmYNmyZQgNDcWrr76KyMjIUutva6NZs2a4c+cOLC0tn3pccnKyZpK5h+rXrw8HBwdcv34dubm5SE1NxYMHDzTH+fn5QaGoncsoUO3ydqe3pQ6BiIiIaggXa3OdHmdomHg/wbRp0zBt2jRkZ2fD1tZW6nB0avbs2Rg/fjz8/Pzw4MEDxMfHV7osQRAQHh6O+fPnY+LEicjIyICbmxs6d+4MV1dXyOVy3L17Fy+++CLS0tLg5OSEoUOHYtGiRVpfY8aMGcjOzsabb76J9PR0+Pn5YdeuXWUmaXuofv36+PXXXzFr1iysXr0abdu2xSeffFLhsdr/Hbf+OEuXLsXSpUtLbVu3bh0mTJiAV155BYcPH9Zsb9myJQAgPj7+qb0DiIiIiIhqm7Y+DnC3NUdqVgEeN3BUAOBma462PpVvNJSSIFZ1QKyRe5h4Z2VlwcamdHfJgoICxMfHw8fHRzPrN1Fl8fNERIbOY7kHJ8wjIiK92XMhBVN/Uq/w9GiS+nBmJ0Ob1fxpueJ/cR1vIiIiIiIiklwff3eseSEYbralG6HcbM0NLumuKHY1JyIivWj9bWuk5qbCzcoNZyafkTocIiIiqgH6+LvjWT83nIrPRHpOAVys1d3La+ISYo9i4k1ERHqRmpuK5JxkqcMgIiKiGkYuE2rkkmFPw8SbiIj0ws3KrdTfVPOxTomIiCqHiTcREekFu5cbH9YpERFR5XByNR1QqVRSh0BGgJ8jIiIiIiLjxBbvKlAoFJDJZLh9+zacnZ2hUCggCDV70D9VP1EUUVRUhIyMDMhkMigUCqlDIiIiIiIiHWLiXQUymQw+Pj5ISUnB7du3pQ6HajhLS0vUr18fMhk7ohARERERGRMm3lWkUChQv359lJSUQKlUSh0O1VByuRwmJibsMUFG5dOjnyK7MBs2ZjZ4u9PbUodDOvDqb68isyATDuYO+GbAN1KHQ0REVGMw8dYBQRBgamoKU1NTqUMhIjIYYafDkJyTjHrW9Zh4G4nd13Zr6pSIiIi0xz6tRERERERERHrEFu8nCAsLQ1hYGLuPExFV0pYRW1CoLISZ3EzqUIiIiIgkJYiiKEodhCHLzs6Gra0tsrKyYGNjI3U4REREkvFY7qHpap4UmiR1OERERJKqSK7IFu9yPHwukZ2dLXEkRERE0lIVqIACQGWq4vciERHVeg+/C7Vpy2aLdzmSkpLg6ekpdRhERERERERkgG7dugUPD4+nHsPEuxwqlQq3b9+GtbW1wS71lJ2dDU9PT9y6dYvd4Y0I69U4sV6ND+vUOLFejRPr1TixXo1TTahXURSRk5ODunXrQiZ7+rzl7GpeDplMVu7TC0NhY2NjsB9KqjzWq3FivRof1qlxYr0aJ9arcWK9GidDr1dbW1utjuNyYkRERERERER6xMSbiIiIiIiISI+YeBsBMzMzLFiwAGZmXCvXmLBejRPr1fiwTo0T69U4sV6NE+vVOBlbvXJyNSIiIiIiIiI9Yos3ERERERERkR4x8SYiIiIiIiLSIybeRERERERERHrExJuIiIiIiIhIj5h4ExEREREREekRE28DcOjQIXh7e0ty7R07diAxMVGSaxs71qtxYr0aJ9arcWK9Gh/WqXFivRon1mtpTLwN1OrVq+Hj4wNzc3O0atUKR48e1csxO3fuxOrVq/X2Oqg0XdTZkSNHMGDAANStWxeCIGDHjh1lymC9Vi9d1Jk25bBeq5cu6pX3q2HR1b2ozTGs1+qhqzrlvWpYdPXvK8B71ZDoql5r6v3KxNsAbd68GTNnzsT8+fNx7tw5dOrUCX379i311EZXxwwePBg7d+6s1tdXW+mqzvLy8hAYGIivvvrqiddivVYfXdUZ71fDoqt65f1qWHR1L/J+NRy6qlPeq4ZFV/++8l41LLqq1xp7v4okuYMHD4peXl6a39u2bStOmTKl1DFNmzYV582bp/Nj8vPzRUtLS/HKlSu6eCn0CH3V66MAiNu3by+znfWqP5Wp10c9qc54v0pLX/WqzTGsV/35b70+qir3Iu9X6eirTrUph3WqP5WpV22O4b0qLX3VqzbHGGK9ssXbwBQVFSEyMhK9evUqtb1Xr144fvy4To8BAAsLCzz77LOG90TIyOiyzrTBeq0euqoz3q+GRZf3ojZYr4aD36/Gh9+ttRfv1drNEOuVibeBuXPnDpRKJVxdXUttd3V1RWpqqk6PeWjQoEEG9aE0RrquM22wXvVPV3XG+9Ww6Ppe1Abr1TDw+9X48Lu19uK9SoZWr0y8DZQgCKV+F0WxzDZdHTNgwACcPHkSd+/erWrYVA5d1Zk2WK/VR1d1xvvVsOiqXrXBejUs/H41Pvxurb14r9ZehlavTLwNjJOTE+RyeZkncenp6Zondro65qHk5GRYWVnBxsZG1y+H/qHrOtMG61X/dFVnvF8Ni67vRW2wXg0Dv1+ND79bay/eq2Ro9crE28AoFAq0atUK+/fvL7V9//79aN++vU6PeWjnzp3o168fTE1Ndf1y6B+6rjNtsF71T1d1xvvVsOj6XtQG69Uw8PvV+PC7tfbivUqGVq8mUgdAZYWGhmLcuHFo3bo1QkJC8O233yIxMRFTpkzR+TGAeoH5t956q9peX22lqzrLzc3F9evXNb/Hx8cjKioKDg4OqF+/vmY767V66KrOeL8aFl3VK+9Xw6Kre5H3q+HQVZ3yXjUsuvr3lfeqYdFVvdbY+1WaydTpUY+baj8sLEz08vISFQqFGBwcLB4+fLjMebo4JjExUVQoFGJWVpZOXxPpr14PHjwoAijzZ/z48ZpjWK/6U5l61abOtCmH9ao/+qpX3q/S+m+96upe1OYY1qt+6KtOea9KqzL1yu9Ww6eveq2p9ysTbwPwtDXu9G3VqlVir169JLm2sWO9GifWq3FivRon1qvxYZ0aJ9arcWK9lsYx3rXczp07MXDgQKnDIB1jvRon1qtxYr0aJ9ar8WGdGifWq3EyxHrlGO9a7s8//5Q6BNID1qtxYr0aJ9arcWK9Gh/WqXFivRonQ6xXtngbAG9vb8ycOVPqMEjHWK/GifVqnFivxon1anxYp8aJ9WqcWK+lCaIoilIHQURERERERGSs2OJNREREREREpEdMvImIiIiIiIj0iIk3ERERERERkR4x8SYiIiIiIiLSIybeRERERERERHrExJuIiIiIiIhIj5h4ExEREREREekRE28iItKLCRMmQBAETJkypcy+1157DYIgYMKECdUfmJHp2rUrZs6caXTXIiIiMiZMvImISG88PT2xadMmPHjwQLOtoKAAGzduRP369SWMTDtFRUVSh0BERERGgIk3ERHpTXBwMOrXr49t27Zptm3btg2enp5o2bKlZpsoivj888/RoEEDWFhYIDAwEFu3bi1V1p49e9CxY0fY2dnB0dERzz33HOLi4kods3XrVgQEBMDCwgKOjo7o2bMn8vLyAADe3t5YuXJlqeODgoKwcOFCze9du3bF9OnTERoaCicnJzz77LNaxda1a1e8/vrrmDlzJuzt7eHq6opvv/0WeXl5eOmll2BtbY2GDRvijz/+qNBr7tq1K2bMmIG5c+fCwcEBbm5upeKdMGECDh8+jC+++AKCIEAQBCQkJDy2LgoLCzFjxgy4uLjA3NwcHTt2xOnTpzX7y3t/nnQtlUqFxYsXo1GjRjAzM0P9+vXx8ccfa33dyrx32r5/T/s8aCMhIQGCIGDbtm3o3LkzLCws0KpVKyQkJODQoUNo27YtLC0t0a1bN2RmZkpWZnWWT0RElSQSERHpwfjx48VBgwaJy5cvF3v06KHZ3qNHD3HFihXioEGDxPHjx4uiKIrvvPOO2LRpU3HPnj1iXFycuG7dOtHMzEw8dOiQ5rytW7eKv/76q3j16lXx3Llz4oABA8SAgABRqVSKoiiKt2/fFk1MTMTly5eL8fHx4vnz58WwsDAxJydHFEVR9PLyElesWFEqxsDAQHHBggWa37t06SJaWVmJc+bMES9fvixeunRJq9i6dOkiWltbix9++KF49epV8cMPPxRlMpnYt29f8dtvvxWvXr0qTp06VXR0dBTz8vK0fs1dunQRbWxsxIULF4pXr14Vf/jhB1EQBHHfvn2iKIri/fv3xZCQEHHSpEliSkqKmJKSIpaUlDy2PmbMmCHWrVtXDA8PFy9evCiOHz9etLe3F+/evavV+/Oka82dO1e0t7cX169fL16/fl08evSo+N1332l93cq8d9q8f+V9HrSxfft2EYDYo0cP8ejRo+K5c+dELy8vsWPHjmKfPn3EU6dOiREREaKjo6P4+eefS1ZmdZZPRESVw8SbiIj04mHinZGRIZqZmYnx8fFiQkKCaG5uLmZkZGgS79zcXNHc3Fw8fvx4qfNffvllcfTo0U8sPz09XQQgxsTEiKIoipGRkSIAMSEh4bHHa5t4BwUFaX7XNrYuXbqIHTt21PxeUlIi1qlTRxw3bpxmW0pKighAPHHiRKXLFUVRbNOmjfjWW2+VOuaNN9547Gt+9HWYmpqKGzZs0GwrKioS69atq0m+tH1/Hr1Wdna2aGZmVirRruh1K/rePSy3vPevvM+DNhYuXCja29uLGRkZmm0TJkwQ69evL+bm5mq29enTRwwNDRVFURSPHj0qfvLJJzotc/v27eLMmTP1FvP27dvL/QwREVHVmEjX1k5ERLWBk5MT+vfvjx9++AGiKKJ///5wcnLS7I+NjUVBQQGeffbZUucVFRWV6o4eFxeH9957DydPnsSdO3egUqkAAImJifD390dgYCB69OiBgIAA9O7dG7169cLw4cNhb29foXhbt25d4dgAoEWLFpqf5XI5HB0dERAQoNnm6uoKAEhPT690uQDg7u6O9PT0Cr2muLg4FBcXo0OHDpptpqamaNu2LS5dulShsh516dIlFBYWokePHlW6bkXeO0C7etHF5yEqKgoDBw4s9XlNTEzE6NGjUadOnVLb+vfvDwDo2LEjOnbsqNMyz58/j8DAQL3FfP78+TKfMyIi0i0m3kREpHcTJ07E9OnTAQBhYWGl9j1MoHfv3o169eqV2mdmZqb5ecCAAfD09MR3332HunXrQqVSwd/fXzMBmlwux/79+3H8+HHs27cPX375JebPn4+IiAj4+PhAJpNBFMVS5RcXF5eJ9dHkRNvYAHVC+ShBEEptEwRBU2ZVy314vrYevu6HMTy6/eE2bd+fR1lYWFT5ukDF3rtH/37a+1fe50Eb0dHRmDt3bqltUVFRms8yoJ4s8OrVqwgKCgIADBkyBAsWLND8rosyz58/j4EDByIrKwtjx47FkCFD8PLLL+u0/H79+j3xfSAioqrj5GpERKR3ffr0QVFREYqKitC7d+9S+/z8/GBmZobExEQ0atSo1B9PT08AwN27d3Hp0iW8++676NGjB5o1a4Z79+6VuY4gCOjQoQMWLVqEc+fOQaFQYPv27QAAZ2dnpKSkaI7Nzs5GfHz8U+PWJrbK0GW5CoUCSqXyqcc0atQICoUCx44d02wrLi7GmTNn0KxZMwDavT//vVbjxo1hYWGBAwcOVPq6laHt+/e0z0N5srOzkZCQUKoHws2bN5GZmVlq28WLF6FUKjUt0pcuXXria6tsmZcvX4aZmRn69OmDmTNnPjHprmz5Fy9eRPPmzbV6X4iIqHLY4k1ERHonl8s1XYvlcnmpfdbW1pg9ezZmzZoFlUqFjh07Ijs7G8ePH4eVlRXGjx8Pe3t7ODo64ttvv4W7uzsSExMxb968UuVERETgwIED6NWrF1xcXBAREYGMjAxNEtS9e3esX78eAwYMgL29Pd57770ysfyXNrFVhi7L9fb2RkREBBISEmBlZQUHBwfIZKWfq9epUwdTp07FnDlz4ODggPr16+Pzzz9Hfn6+JonT5v153LXeeustzJ07FwqFAh06dEBGRgYuXryIl19+Wavr6uv9K+/zUJ7o6GjIZLJSXbCjoqJgZ2cHb2/vUsc1aNAA1tbWyMvLg4mJSZleC1UpMz8/H7dv38bo0aOxYcOGpybIlS1fJpOV23uBiIiqhok3ERFVCxsbmyfu+/DDD+Hi4oJPP/0UN27cgJ2dHYKDg/HOO+8AUHeD3rRpE2bMmAF/f380adIEq1atQteuXUuVf+TIEaxcuRLZ2dnw8vLCsmXL0LdvXwDA22+/jRs3buC5556Dra0tPvzww3JbvLWJrbJ0Ve7s2bMxfvx4+Pn54cGDB4iPjy+VZD302WefQaVSYdy4ccjJyUHr1q2xd+9ezZhnbd6fx13rvffeg4mJCd5//33cvn0b7u7umDJlitbXrazy3r/yPg/liY6ORtOmTUslpOfOnSsz1jo6OlrTZfvChQvw9/fX7Fu/fj1eeuklTZf7ypb5zDPPIDk5uUyXfF2Vz9ZuIiL9E8T/DugiIiIiogr7/vvvkZaWhvnz5wMAFi5ciEOHDuHQoUNVKjMjIwO9evXC5MmTceTIEc08BLoqPzU1Fe+++26lyyAiovJxjDcRERGRDsTExJSajX3v3r34/PPPq1ymv78/WrVqhcmTJ+OVV17Refmc0ZyISP/Y4k1ERESkA8HBwdi9ezfc3d2lDoWIiAwMW7yJiIiIqqCoqAjBwcHo06cPk24iInostngTERERERER6RFbvImIiIiIiIj0iIk3ERERERERkR4x8SYiIiIiIiLSIybeRERERERERHrExJuIiIiIiIhIj5h4ExEREREREekRE28iIiIiIiIiPWLiTURERERERKRHTLyJiIiIiIiI9IiJNxEREREREZEeMfEmIiIiIiIi0iMm3kRERERERER69P+HS95aCC9bvgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(nrows=5, ncols=1, figsize=(10, 25))\n", + "print(sum(prob0_0),sum(prob0_1))\n", + "# Plot histograms for each qubit in a separate subplot\n", + "axs[0].plot(bins, prob0_0, '-o', label='state 0')\n", + "axs[0].plot(bins, prob0_1, '-o', label='state 1')\n", + "axs[0].vlines(x = i0-0.5, ymin=0, ymax=1.1, colors='green', ls=':', lw=2, label='threshold ML3')\n", + "axs[0].vlines(x = 3.5, ymin=0, ymax=1.1, colors='green', ls='--', lw=2, label='threshold ML1')\n", + "axs[0].set_title('Qubit 0')\n", + "axs[0].set_xlabel('Measurement outcomes $m_{j}$,$m_{k}$,$m_{l}$ ')\n", + "axs[0].set_ylabel('Fraction')\n", + "axs[0].set_yscale('log')\n", + "axs[0].legend()\n", + "\n", + "axs[1].plot(bins, prob1_0, '-o', label='state 0')\n", + "axs[1].plot(bins, prob1_1, '-o', label='state 1')\n", + "axs[1].vlines(x = i1-0.5, ymin=0, ymax=1.1, colors='green', ls=':', lw=2, label='threshold ML3')\n", + "axs[1].vlines(x = 3.5, ymin=0, ymax=1.1, colors='green', ls='--', lw=2, label='threshold ML1')\n", + "axs[1].set_title('Qubit 1')\n", + "axs[1].set_xlabel('Measurement outcomes $m_{j}$,$m_{k}$,$m_{l}$')\n", + "axs[1].set_ylabel('Fraction')\n", + "axs[1].set_yscale('log')\n", + "axs[1].legend()\n", + "\n", + "axs[2].plot(bins, prob2_0, '-o', label='state 0')\n", + "axs[2].plot(bins, prob2_1, '-o', label='state 1')\n", + "axs[2].vlines(x = i2-0.5, ymin=0, ymax=1.1, colors='green', ls=':', lw=2, label='threshold ML3')\n", + "axs[2].vlines(x = 3.5, ymin=0, ymax=1.1, colors='green', ls='--', lw=2, label='threshold ML1')\n", + "axs[2].set_title('Qubit 2')\n", + "axs[2].set_xlabel('Measurement outcomes $m_{j}$,$m_{k}$,$m_{l}$')\n", + "axs[2].set_ylabel('Fraction')\n", + "axs[2].set_yscale('log')\n", + "axs[2].legend()\n", + "\n", + "axs[3].plot(bins, prob3_0, '-o', label='state 0')\n", + "axs[3].plot(bins, prob3_1, '-o', label='state 1')\n", + "axs[3].vlines(x = i3-0.5, ymin=0, ymax=1.1, colors='green', ls=':', lw=2, label='threshold ML3')\n", + "axs[3].vlines(x = 3.5, ymin=0, ymax=1.1, colors='green', ls='--', lw=2, label='threshold ML1')\n", + "axs[3].set_title('Qubit 3')\n", + "axs[3].set_xlabel('Measurement outcomes $m_{j}$,$m_{k}$,$m_{l}$')\n", + "axs[3].set_ylabel('Fraction')\n", + "axs[3].set_yscale('log')\n", + "axs[3].legend()\n", + "\n", + "axs[4].plot(bins, prob4_0, '-o', label='state 0')\n", + "axs[4].plot(bins, prob4_1, '-o', label='state 1')\n", + "axs[4].vlines(x = i4-0.5, ymin=0, ymax=1.1, colors='green', ls=':', lw=2, label='threshold ML3')\n", + "axs[4].vlines(x = 3.5, ymin=0, ymax=1.1, colors='green', ls='--', lw=2, label='threshold ML1')\n", + "axs[4].set_title('Qubit 4')\n", + "axs[4].set_xlabel('Measurement outcomes $m_{j}$,$m_{k}$,$m_{l}$')\n", + "axs[4].set_ylabel('Fraction')\n", + "axs[4].set_yscale('log')\n", + "axs[4].legend()\n", + "\n", + "# Adjust the spacing between subplots\n", + "plt.tight_layout()\n", + "# plt.savefig('qubits.png')\n", + "# Show the plot\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4de43d48", + "metadata": {}, + "source": [ + "The fractions on the Y-axis indicate the probability to obtain a certain measurement outocome, given the initial state of the qubit. The threshold in the picture discriminates between the $|0\\rangle$ and $|1\\rangle$ outcome." + ] + }, + { + "cell_type": "markdown", + "id": "f0098109", + "metadata": {}, + "source": [ + "## Calculating increase in fidelity\n", + "\n", + "To compare the ML3 and ML1 readout procedures we calculate the average assignment fidelity in the two cases. We use the equation\n", + "\n", + "\\begin{equation}\n", + " \\label{eq: Hadamard}\n", + " F_{aa} = 1-\\frac{\\epsilon_{01} + \\epsilon_{10}}{2}\n", + "\\end{equation}" + ] + }, + { + "attachments": { + "Fig.%202-6.jpeg": { + "image/jpeg": 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" + } + }, + "cell_type": "markdown", + "id": "844f5fab", + "metadata": {}, + "source": [ + "The values of $\\epsilon_{01}$ and $\\epsilon_{10}$ are the probabilities that we wrongly assign the $\\left|1\\right\\rangle$ and $\\left|0\\right\\rangle$ state respectively. \n", + "\n", + "![Fig.%202-6.jpeg](attachment:Fig.%202-6.jpeg)\n", + "(**Figure 8.** Schematic of the readout model.) " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "66251756", + "metadata": {}, + "outputs": [], + "source": [ + "def assignment_fidelity(bins_sliced,qubit,ML3,i0):\n", + " \n", + " selec = np.empty((len(bins_sliced),len(bins_sliced[1])))\n", + " for i in range(len(bins_sliced)):\n", + " for j in range(8):\n", + " selec[i][j] = bins_sliced[i][j][qubit] # obtaining the right measurements based on the qubit.\n", + " \n", + " meas0 = selec[:,0:4] #obtaining the measurements for state 0 of qubit\n", + " meas1 = selec[:,4:8]\n", + " \n", + " # post-selection\n", + " meas0_selec = np.array([2,2,2])\n", + " meas1_selec = np.array([2,2,2])\n", + " \n", + " for i in range(len(meas0)):\n", + " if meas0[i][0] == 0:\n", + " meas0_selec = np.vstack((meas0_selec,meas0[i][1:]))\n", + " if meas1[i][0] == 0:\n", + " meas1_selec = np.vstack((meas1_selec,meas1[i][1:]))\n", + " \n", + " meas0 = meas0_selec[:][1:]\n", + " meas1 = meas1_selec[:][1:]\n", + "\n", + " freq0 = np.zeros(2) # indice 0 corr to 0\n", + " freq1 = np.zeros(2)\n", + " \n", + " for z in range(len(meas0)):\n", + " if ML3 == 1: \n", + " \n", + " string0 = '{m0}{m1}{m2}'.format(m0 = int(meas0[z][0]), m1 = int(meas0[z][1]), m2 = int(meas0[z][2])) \n", + " \n", + " if int(string0,2) >= i0: \n", + " freq0[1] += 1\n", + " else: \n", + " freq0[0] += 1 \n", + " if ML3 != 1: \n", + " string0 = '{m0}'.format(m0 = int(meas0[z][0]))\n", + " if string0 == '1': \n", + " freq0[1] += 1\n", + " else: \n", + " freq0[0] += 1 \n", + " \n", + " for z in range(len(meas1)):\n", + " if ML3 == 1: \n", + " string1 = '{m0}{m1}{m2}'.format(m0 = int(meas1[z][0]), m1 = int(meas1[z][1]), m2 = int(meas1[z][2])) \n", + " if int(string1,2) >= i0: \n", + " freq1[1] += 1 \n", + " else: \n", + " freq1[0] += 1\n", + "\n", + " if ML3 != 1:\n", + " \n", + " string1 = '{m0}'.format(m0 = int(meas1[z][0]))\n", + " if string1 == '1': \n", + " freq1[1] += 1\n", + " else: \n", + " freq1[0] += 1\n", + " \n", + " e10 = freq0[1]/np.sum(freq0) \n", + " e01 = freq1[0]/np.sum(freq1) \n", + " \n", + " Fid = 1-(e10+e01)/2 # average assignment fidelity\n", + " return Fid" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "bbefd12a", + "metadata": {}, + "outputs": [], + "source": [ + "# This code can take up to 10 minutes to run\n", + "# q0\n", + "Fid_q0_ML3 = assignment_fidelity(bins_sliced, 0, 1, i0)*100 # %\n", + "Fid_q0_ML1 = assignment_fidelity(bins_sliced, 0, 0, i0)*100 # %\n", + "diff_q0 = Fid_q0_ML3 - Fid_q0_ML1\n", + "\n", + "# q1\n", + "Fid_q1_ML3 = assignment_fidelity(bins_sliced, 1, 1, i1)*100 # %\n", + "Fid_q1_ML1 = assignment_fidelity(bins_sliced, 1, 0, i1)*100 # %\n", + "diff_q1 = Fid_q1_ML3 - Fid_q1_ML1\n", + "\n", + "# q2\n", + "Fid_q2_ML3 = assignment_fidelity(bins_sliced, 2, 1, i2)*100 # %\n", + "Fid_q2_ML1 = assignment_fidelity(bins_sliced, 2, 0, i2)*100 # %\n", + "diff_q2 = Fid_q2_ML3 - Fid_q2_ML1\n", + "\n", + "# q3\n", + "Fid_q3_ML3 = assignment_fidelity(bins_sliced, 3, 1, i3)*100 # %\n", + "Fid_q3_ML1 = assignment_fidelity(bins_sliced, 3, 0, i3)*100 # %\n", + "diff_q3 = Fid_q3_ML3 - Fid_q3_ML1\n", + "\n", + "# q4\n", + "Fid_q4_ML3 = assignment_fidelity(bins_sliced, 4, 1, i4)*100 # %\n", + "Fid_q4_ML1 = assignment_fidelity(bins_sliced, 4, 0, i4)*100 # %\n", + "diff_q4 = Fid_q4_ML3 - Fid_q4_ML1\n", + "\n", + "# Difference array\n", + "difference = [diff_q0, diff_q1, diff_q2, diff_q3, diff_q4] #convert to %" + ] + }, + { + "cell_type": "markdown", + "id": "71096bd0", + "metadata": {}, + "source": [ + "The graph below shows the increase (blue) or decrease (red) in average assignment fidelity going from ML-1 to ML-3. " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "223079bc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The thresholds are: 3, 3, 3, 3, 3.\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bins = ['q0', 'q1', 'q2', 'q3', 'q4']\n", + "print('The thresholds are: {i0}, {i1}, {i2}, {i3}, {i4}.'.format(i0=i0,i1=i1,i2=i2,i3=i3,i4=i4))\n", + "\n", + "# Calculate the colors for the bars based on the sign of the differences\n", + "colors = np.where(np.array(difference) >= 0, '0', 'red')\n", + "colors = np.where(np.array(difference) < 0, '0', 'C0')\n", + "\n", + "plt.figure(figsize=(15, 9))\n", + "font = {'family': 'Times New Roman', 'weight': 'normal', 'size': 20}\n", + "plt.rc('font', **font)\n", + "\n", + "plt.bar(bins, difference, color=colors)\n", + "\n", + "plt.xlabel('Qubits')\n", + "plt.ylabel('Difference in Fidelity [%]')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e61513fd", + "metadata": {}, + "source": [ + "The fidelities with and without the MCM are shown below." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "fa1c281d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "q0: ML3: 96.454 ; ML1: 95.816 %\n", + "q1: ML3: 98.396 ; ML1: 98.04 %\n", + "q2: ML3: 98.381 ; ML1: 97.971 %\n", + "q3: ML3: 98.524 ; ML1: 98.25 %\n", + "q4: ML3: 97.56 ; ML1: 97.268 %\n" + ] + } + ], + "source": [ + "# q0\n", + "print('q0: ML3:', np.round(Fid_q0_ML3, 3), '; ML1:', np.round(Fid_q0_ML1, 3),'%')\n", + "# q1\n", + "print('q1: ML3:', np.round(Fid_q1_ML3, 3), '; ML1:', np.round(Fid_q1_ML1, 3),'%')\n", + "# q2\n", + "print('q2: ML3:', np.round(Fid_q2_ML3, 3), '; ML1:', np.round(Fid_q2_ML1, 3),'%')\n", + "# q3\n", + "print('q3: ML3:', np.round(Fid_q3_ML3, 3), '; ML1:', np.round(Fid_q3_ML1, 3),'%')\n", + "# q4\n", + "print('q4: ML3:', np.round(Fid_q4_ML3, 3), '; ML1:', np.round(Fid_q4_ML1, 3),'%')" + ] + }, + { + "cell_type": "markdown", + "id": "5c30f8da", + "metadata": {}, + "source": [ + "As we can see, the assignment fidelity of all qubits has increased using ML3 RO. This gives has up to 0.7% higher readout fidelity without any changes in the qubit parameters." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/notebooks_action_needed/mid_circuit_measurements/utilityfunctions.py b/docs/notebooks_action_needed/mid_circuit_measurements/utilityfunctions.py new file mode 100644 index 0000000..722731a --- /dev/null +++ b/docs/notebooks_action_needed/mid_circuit_measurements/utilityfunctions.py @@ -0,0 +1,197 @@ +# Utility functions + +import os +import math +import numpy as np +import datetime +import time +import winsound +import sys +from urllib import request +import shutil + +import os +import math +import time +import logging +import warnings +import numpy as np +import datetime +from getpass import getpass +import matplotlib.pyplot as plt +import matplotlib.patches as mpl_patches +from scipy.optimize import curve_fit, leastsq +from progress.bar import IncrementalBar +from tqdm import tqdm +import winsound + +from quantuminspire.api import QuantumInspireAPI +from quantuminspire.version import __version__ as quantum_inspire_version +from quantuminspire.credentials import load_account, get_token_authentication, get_basic_authentication, save_account + +def PrepFile(basename: str="", suffix: str="", doraw: int=0): + ''' + Creates the file name according to the basename and suffix that you provide. + ''' + histname="Hist_"+basename + cqasmname="cQASM_"+basename + rawname="Raw_"+basename + if (len(suffix)>0): + histname+='_'+suffix + cqasmname+='_'+suffix + rawname+='_'+suffix + histname+='_API.txt' + cqasmname+='_API.txt' + rawname+="_API" + + file=open(histname,'w') + file=open(cqasmname,'w') + + if (doraw==0): + return histname, cqasmname + else: + return histname, cqasmname, rawname + + +def GetTimeStamp(): + ''' + Returns the timestamp of the current date and time + ''' + current_date = datetime.datetime.now() + thisyear=str(current_date.year); + thismonth="0"+str(current_date.month); + thisday="0"+str(current_date.day); + thishour="0"+str(current_date.hour); + thisminute="0"+str(current_date.minute); + thissecond="0"+str(current_date.second); + timestamp=thisyear[-2:]+thismonth[-2:]+thisday[-2:]+"_"+thishour[-2:]+thisminute[-2:]+thissecond[-2:] + return timestamp + +def NewDay(): + ''' + Crates the folder with the current date in the specified path. + ''' + todaypath = r'' # Write here the path of the folder you want to save your data in + + current_date = datetime.date.today() + thisyear=str(current_date.year); + thismonth="0"+str(current_date.month); + thisday="0"+str(current_date.day); + todaypath+="/Data_"+thisyear[-2:]+thismonth[-2:]+thisday[-2:] + + try: + os.mkdir(todaypath) + except OSError: + print ("Creation of the directory %s failed" % todaypath) + else: + print ("Successfully created the directory %s " % todaypath) + + os.chdir(todaypath) # change the current working directory to the specified path + return todaypath + +def API_RunAndSave(param, qasmprog: str = "foo", histname: str="hist.txt", cqasmname: str="cqasm.txt", shots: int=16384, backend: int=1, lastonly: int=0, getresults: int=0): + ''' + Runs QI with qasmprog and appends measurement histogram(s) to file histname + A copy of the cqasm program is saved to file cqasmname. + + param: a reference number that you are free to choose. it will be saved in the first column of the file + shots: desired number of shots. For Starmon-5, the max is 16384. + backend: 0: QX simulation + 1: Starmon-5 + 2: Spin-2 + lastonly: 0: save histograms for all measurement blocks in the circuit + 1: save only the hisogram of the last measurement block in the circuit + getresults: 0: do not return the results + 1: return the results + ''' + + # Set the backend + QI = QuantumInspireAPI(project_name="APIProject") + if (backend==0): + backend_type = QI.get_backend_type_by_name('QX single-node simulator') + if (backend==1): + backend_type = QI.get_backend_type_by_name('Starmon-5') + if (backend==2): + backend_type = QI.get_backend_type_by_name('Spin-2') + + # save cqasm program to file + file=open(cqasmname,'a') + file.write(qasmprog) + file.write('\n\n') + file.close() + + results = QI.execute_qasm(qasmprog, backend_type=backend_type, number_of_shots=shots) + + numhistos=len(results['histogram']) + + starthisto=0 + if(lastonly==1): + starthisto=numhistos-1 + + # record histograms + for i in range(starthisto, numhistos,1): + + # prepare histogram + counts = np.zeros(2**5) + histo=results['histogram'][i] + for thisvaluestr, thisprob in histo.items(): + intval=int(thisvaluestr) + counts[intval] = thisprob + + # append histogram to file + file=open(histname,'a') + file.write('{}\t'.format(param)) + for value in counts: + file.write('{:.5f}\t'.format(value)) + file.write('\n') + file.close() + + if (getresults==1): + return results + +def API_SaveRawData(results, param, basename): + ''' + This function saves the raw data from an API run to a csv file + results: is what API_RunandSave returns + param: parameter that you are measuring. It will be added to the final data file name + basename: name that you want to give to the data file. + ''' + # some important variables + api_version = '2.0' + file_format = "csv" + output = "console" + + # get url from results + url=results['raw_data_url'] + url += f"?&format={file_format}" + + # dump data into a temp file + opener = request.build_opener() + opener.addheaders = [('accept', f'application/coreapi+json, application/vnd.coreapi+json, */*; version={api_version};')] + request.install_opener(opener) + local_filename, headers = request.urlretrieve(url, filename=None if output == "console" else output) + + # create directory if it doesn't yet exist + if(os.path.isdir(basename)==False): + os.mkdir(basename) + + # specify destination file + dest = basename+r"/"+basename+"_"+str(param)+".csv" + + # copy from temp file to destination file + path = shutil.copyfile(local_filename,dest) + + +def DeleteProjects(basename: str=""): + ''' + Deletes the specified project + ''' + QI = QuantumInspireAPI() + for pi in QI.get_projects(): + if basename in pi['name']: + QI.delete_project(pi['id']) + + frequency = 100 # Set Frequency To 2500 Hertz + duration = 500 # Set Duration To 1000 ms == 1 second + winsound.Beep(frequency, duration) + return diff --git a/docs/notebooks_action_needed/superdense_coding/README.md b/docs/notebooks_action_needed/superdense_coding/README.md new file mode 100644 index 0000000..b1e8146 --- /dev/null +++ b/docs/notebooks_action_needed/superdense_coding/README.md @@ -0,0 +1,7 @@ +# Superdense Coding + +In this notebook, we use the Starmon-5 backend in Quantum Inspire to implement the superdense coding algorithm. +With this quantum communication protocol, a sender (Bob) can transmit two classical bits of information to a +receiver (Alice) using only one qubit. In addition, this method of communication is highly secure against +eavesdropping since reading out the state during the communication will collapse the entangled state, +indicating the presence of a third party listening. diff --git a/docs/notebooks_action_needed/superdense_coding/superdense_coding.ipynb b/docs/notebooks_action_needed/superdense_coding/superdense_coding.ipynb new file mode 100644 index 0000000..aeb6f33 --- /dev/null +++ b/docs/notebooks_action_needed/superdense_coding/superdense_coding.ipynb @@ -0,0 +1,624 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Superdense Coding Protocol" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Introduction\n", + "\n", + "In this notebook, we use the Starmon-5 backend in Quantum Inspire to implement the superdense coding algorithm. With this quantum communication protocol, a sender (Bob) can transmit two classical bits of information to a receiver (Alice) using only one qubit. In addition, this method of communication is highly secure against eavesdropping since reading out the state during the communication will collapse the entangled state, indicating the presence of a third party listening.\n", + "\n", + "### Procedure\n", + "\n", + "We divide the superdense code into four main sections: initilization, encoding, decoding, measurement. Initially, Alice creates the entangled state and sends one qubit to Bob for the encoding step. After the encoding, Bob returns the qubit to Alice, who decodes the message and measures the two qubits. The measurement outcomes depend on the set of gates that Bob has applied during the encoding step (Table 1). \n", + "\n", + "After analyzing the main steps of the procedure, we create a function that runs the algorithm in the Quantum Inspire Starmon-5 backend. Finally, we analyze the data and present the results with and without implementing mid-circuit measurement tools (MCMs) (see previous notebook \"Mid-circuit measurement tools\")." + ] + }, + { + "attachments": { + "Schermafbeelding%202023-06-30%20144110.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![Schermafbeelding%202023-06-30%20144110.png](attachment:Schermafbeelding%202023-06-30%20144110.png)\n", + "(**Figure 1.** Schematic of the superdense coding procedure. Alice prepares the qubits into a fully entangled state and sends one qubit to Bob. Bob encodes his message on the qubit state and sends the qubit back to Alice. Alice then decodes the state to obtain the message.)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 1: Initialization (Alice)\n", + "\n", + "The two qubits are initially prepared in the ground state, i.e., $|$00$\\rangle$. Before sending the qubit to Bob, Alice needs to prepare an entangled state. So, Alice applies a H-gate to get $\\frac{1}{\\sqrt 2}( |$0$\\rangle + |$1$\\rangle)|$0$\\rangle$, followed by a CNOT-gate, to obtain the desired entangled state $\\frac{1}{\\sqrt 2}(|$00$\\rangle + |$11$\\rangle)$. \n", + "\n", + "Now the qubit is ready to be sent to Bob, who encodes the two classical bits of information." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 2: Encoding (Bob)\n", + "Bob can choose between four gates to apply to the qubit. Each gate will encode a different message for Alice. The four different possibilities are listed in the table below.\n", + "\n", + "(**Table 1**. Here, we show the different single qubit gates that Bob can apply to the qubit with the resulting classical message.) \n", + "\n", + "| Gates | Classical Message |\n", + "|:-----------:|:-----------------------:|\n", + "| I | 00 |\n", + "| X | 01 |\n", + "| Z | 10 |\n", + "| ZX | 11 |\n", + "\n", + "\n", + "A different Bell state will be encoded for each gate that Bob applies to the qubit. After decoding, each Bell state will result in a different 2-bit message. Remember that the Identity gate doesn't alter the state, and the X and Z gates make the qubit do a $\\pi$-rotation over their respective axes.\n", + "\n", + "The different possible states after encoding will then be:\n", + "\n", + " \n", + "I $\\frac{1}{\\sqrt 2}$($|$00$\\rangle + |$11$\\rangle$) = $\\frac{1}{\\sqrt 2}$($|$00$\\rangle + |$11$\\rangle$)\n", + "\n", + "X $\\frac{1}{\\sqrt 2}$($|$00$\\rangle + |$11$\\rangle$) = $\\frac{1}{\\sqrt 2}$($|$10$\\rangle + |$01$\\rangle$)\n", + "\n", + "Z $\\frac{1}{\\sqrt 2}$($|$00$\\rangle + |$11$\\rangle$) = $\\frac{1}{\\sqrt 2}$($|$00$\\rangle - |$11$\\rangle$)\n", + "\n", + "ZX $\\frac{1}{\\sqrt 2}$($|$00$\\rangle + |$11$\\rangle$) = $\\frac{1}{\\sqrt 2}$($-|$10$\\rangle + |$01$\\rangle$)\n", + "\n", + "The state can now be sent back to Alice, who can decode Bob's message." + ] + }, + { + "attachments": { + "Schermafbeelding%202023-06-13%20143737.png": { + "image/png": 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" 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eqnJMW6KMtEFO/qDOKzXxiLw7EpPn8Fzetn42wA58GPL4L6ty7U0bbFmn/CvsuxTnoZ1L08ZtXXsUsob/rTLLf+NyYCAqz0HWDpl1pU22E+74PWB9zssf/enXrU+Kkp9yFDC2drlQ+fahIHOhEvAYhzIlfcGYHEOlkreFC/vWwTB7v99pWqYXQ8lxarFRKJcOFMg+lNQUlEEFlGUzFMhyVBJ0wtlKzKLLir+S50fBDsLz4rmHcC4blIMXyiaKypRTlOXrCc/dN4gD0nmngo3CAOiEUrzJa7DuqQvHOo5j0yAYxybt0CvlWD9kbdeHipHKxo8rZI/O87dJzrYIld37/B75TIXLKMd+GN1dWGjEDGEnO55NAxT3EjzHFK7xONbltW8z4FmxtXUflDJbJtn7zFb1fFOUsc2kEtdfBUU8YF37KJ63Hc/Oh2sZzfSET7hfC6NYRdbi2Q1n7jtrGaHFg2frgea1Y5uRcNRM1cZrGaugcK2frfDJB8qdcMYZtZCQq7j3Xuw/CEM6DkOnHve+2o1N8R668YzHKigcewX+ONiSi/XDeObs0bOzUsExruHdjV0PZIm96Rdwb9m98A04RhXWhTLb4Tg0UFhJsjfnNJ4de8LzTRXjwrWvRwX1a1U+GGNsBcZ14xpv4jgDOE4K76AW174CclCHazqP98mGIyMH2LcVvz8GA86Hz8uwHRuQaLx1WNdhgxxWsizAQGihQ4Yd2Zue71UoMwNiC0fULh8v98kHy9g7gmeL930FRlQfZDQEGfDCaGmD0bQNpe0i3l0/HnymEYQ94XtheLTDyKbuaoSBVGuDQ2lkNz0MBpax1MFIXw7DqBtl6AYKbfbQlJUo9x8o88hHIPs+lO1uyGsn3n8PthvF+Ws8blkJBdYI2QnklEE3rn0Xfv/lSq9sQSFM4dq5LxMyUmcIZIs6Y5U9JR7I0hUs2b1qTTCO9sGR/hwMp0pIJPVWh6Vzhm0w5iCXNZA7OgWMQDLlAPtR/tjQSJ1JndFvlZuM3jQ6A+X8CI5Dw38yNuN47fG6pQFeRy2eWxPO48M1MMqpH9fPe3fymeLZr8UzZbnpwT2NN0DZYPR55YNwYjZ6bHD44GzhvfXgOgJ4LmUoM8ug+3gttjgMO5RJOlHK7MLotd1e1FuVcCZRXxvdBRmmrA/hPVD+6tlAChmiLj1l6dJM4zmd+G1uj/xShUd2sncMdUQnHIEu7D8IXW6DjDaivl/lYgMu9CpkICPDLL9eyOmnKrwoQy4449Th0PmUYcoQtnBBDhbD6diQYpmCE27pzwxr3W75MJzh96P8eyB/nZAhRr70Ybso6r8q7L+GY1dRv9CeYJ3PokWo+/ej/HwG174KckxH6JYpv5BBnNsD3dAG3WDsCPxmpijL7AzqcO+1uN/seof1GXuy2fiQeVZT9YQ3o3w/7UX9jutYRKcKD2QI185n1wf9wfwotSgDbShbrRE4lThWJoqMocCVeLa/Ue019ZYbDnsPtrnB68B2builRuzbaLzEdE84oxhzIxiKEUZM0hll44gPOmYZ6228h348O0bl8F0M4X0zAiK7V9qJZ/YQZP1ZyMteGpWQqRuUddh11PU22mjQaRsgIaPQizepw619yUOQlY9B1++EUnJa+3bxfDjHCN5hJeyIdlxLPfalHXoOx8xmsakrvPLhcnb0wIaBPFHeuP8o3uVilLVayCFtnyHL3sQlGCgjS3D8/y/e9wbIihPb9GH/mygnlBUnbPQ67L+UsgJZPYJ1450FlBXIGm1z0xOOa4M+ztsTTnmcYG+mo0MWY4mZ58rOEdQbsPNslDmUN9Y53ZQ7s6RtNDYCTHc63WLmH//GF61PKJPqhCv3yggcmXMowK+hIL1qFjgiMFUZolsLQ3C6TriL82qHovJiICp/GIrLKzwWKgiGqDhQ2NegUq+AomNIDCsMVqp06LqgWA5i219Y5z+J7eudbhh4qNRu44TTT8zelxV9vdOFygvO8GhYvokK6GtQFOl7SsjrOC4zrWcUXBqsg+J+y9rGLHAgGTJGI/j2TrgNBqkLShoOOAzOq4Mhc9/fwzlfgaJ8Dfd+ABpxOZQn74VKNoBjXceeOXp6HDyn6TrhHDd/Hcd8K+ser+La6x0uaaVTfDsnHOvCeO8HsvbNXkI2VHa47lY7KqYoHPCRhLwLGRjrUcB7F7yjT8IIWokneiEYkT8ficl3cLyXsf/LuHeGSNUZY8whfvZM4jmPXQuu/QJ+f5Pnw3s5kbLLY6jIPHBY/wHy9sd4jmPXg8rjGK6VvYnZ76Eb6w7h94zcvAqB8KIyWoNKOnkHJ5wO+FN+j2x3Q45CIfmHQEz+Dud8Du+N7+4n2LcOFVgrrr0GjngV7uc4jmWcCbwjOuEMp3dBRnpGI/KD0aj8vzBCX+HzxLZnIdh+GFwraDBQ5nEPnGFAe8PvHfZCr4ER/mk4cq2puJzE8/8GZO/vjBzE5Wd4DzTGl8Bgq4dxUQ2D5zpkpdPaf9wJt5vhDx2hsPwl9v8u3t1Psf/P8fcMZHIbjBv4s+KkcwxZHQtvRNl4ptwtj7I3GXJ9fCAkf4RzPo/9KDuH8a5Dkg4dbMS7p5wexPEyPAAH/H1+GH1wPiLBkPwdZO+b2P9HlD3Izo9DCVmGa2/E9dWgmHlw3PGeLLts4NSRcJ4abEm5MhSWvwlG5eu4R577VZT54aTD9PzUQTZznXDqDJbDNzJlBssNPKsG6M123OtMnHBnLCanUe6/PhqTb/Pe+exxHb0w1tZBf8G/EjuMtU7ojfSzx81AH/wSrn09fuOc5C8PReSPsM/PcR3UGWwwoeHIEGE+W3XC5wIb6iQnHHC3tEC/3xqJyHegv/7cyBD1V0x6k3YTaca54yc74TYpw3v8cjWd2GS6zh+OyB9a+7+C/a9CF7tRTpajDDWjHjuGSjcTEs1Ijsd9PnkM+rMR5fdiMF3+WHf8nOUPx7mM7Tn3djX1J+yRfsgAw9oNdqd8vMItD3qh5znEbDAs/xXl58fYnzJ0FH+jKYcsxbkbYJOEaLtgyQwLWQ/d8QgK9mY6/+Gw/PVwTL7FcgcZfAXn/kUkaYZssMcymccJ70WdexjbjtU7NGIcNtmA8mqfgRPOKMOrVt3xZ1nPvitBh94hi+BIl+N4P0WZYL4G0oSy8fEyn2n48ESi8otARP44GJcXzL5x2AJJ2FQ2WYW624FKvvSccAdkks4pdPQw3h10z1/z2Vnv4hXcP++3C9tnXtkyl1uehjJ6AO97ALr+r4ei8k3s8yJkLSMvPHY17I9q7BuGrh8L7bY55GHsy6E90WhMXhqIyNew7ws8H+TiIPYNQdbacV11OGMvdOuBbAMT73EjbMSPwwEvh6wfGwrL38G++XvsR339MnSgA+egvq7C/rlO+FrYKZ8tpwOejuR8Drb1X8FO+Yml69+JpMRHOwPXzii8clzb2PCpe3LCcb+oK97DfabrCtSBON526HVnIipv4jq+izL3Peu5czmOi2YnSVZRKVmynXC79VdR7ho6s6MocGPJwbDwO/TRzIACeRfK5XVWmlnH4pjuMyikg/Tb2GKHv5nxVDxFBOcazjo/P0MPTe2oWuTuG8CKjK3LUJ/ce+L4xeywrgxMSjSUtd0gtAiPe2dScgSK8E+Gg/J7A2H5Qyi5s3hoA9ZxGAVwGUbCDVxUEAqsAvfegr1w+7MClR2NaiZzy1x7AAvf53TgMxrK2pcLE+HRid8OA4k9FINQ9u8G4vIS7otO8NhT4fNJxOTrQyH5HRjS/x2Ow1Hsz3tOHyspp1GZfQ+VQgR3zArCz1CmLLLfD9+NUd5YZ+5p7DhY8J3XlR0iRsy7z94OCxPqjV3jlNhgCLHiwsdkTE4GE2bs6cWs4/TDOXsTlcx5PEy+t9WedLjuBHB+jgl/DfL9Lu418965nIa8n8e6Iezjxv5tOKff2k25NziP/6MMAXckTcjrMRjNR7Ke/QBkj3kFXsJ6RoUswbvOHmowDnSS5aQexH5dmf3hdHRj/QUoiyiqWI65rLDePf/QEFyJd1oJg+smnNa/Qvm+bM6b3v8G9n8RjjEboaKQ+TYsnKs7Tbr3awmc0CjKz5FRONjY7lrm3Lj2PsjeKzC0rsEYZ4/2cnc6zJf4ce8MCV8E58KGc/8UcnYC58+WvddhWF7CteWWF5LAklu+qDdhY02j3GTDXpC4vIdnfBzHyOj7AZy3A9d0DSdPwbisYbm3Lp7l/0EYlYtxDw7sewYG6HO49t7Mvrh3Gn0cQpDR48rs40OZaHI6ZSmcGSfqL+ovjofNlqF3Ua7Oogzkqy/pnD8AJ3453q0d2x2EvHGIV2Z//j2B9W9gfT/rPRjuW3CuJWZv6lG7bPbZpQ4OPPOlHAuly++YHECGrmM9p5kMpexSC7nJjHtmr+YmOMgrIUM+lJsLcDK/gXPftM7L/a/iun8WisqVBGQQjvwKlLdN6d0BHVSO7bVJFI7JBTiwh3G+G5lzs/yxwRgFIjCFN0HbJDeZ6vTqnSywTxTP/mXYDOwcyH72bFh+D/cWx736nekoxXTeFtahcOp8rEugH/CMT2F/NjBm9r2Je7+KuozRJ6VKAvcZwPv9Ae6T492znx0/G31mbctnth1OMN83GyRPwU55A/t0jG2fNPLyd5ADRkByWE0TnvkYqaT8bDQi/yfsu/9jOCY/wL7Zz7sDsvMi5JwNrRzC6MOSzXI4wZtQX1RBOkZxzRzaxEaCzDXz/Byudg7vexIoJ9XQ/6vw8l3xGMoDbCzsT1nPnP8a1p/A/pfjNilDmd6I+2Qk4GzAK+JMRcY2xl8+VyPj+AdiZ2zNzHXQZi6uRMCzhzrhSuEAhXIdCuZaTm2UzrIO54qmJJQKw4gnJ9MqTrpgcJ+BEXMD2qcZBuaHyzzyxQqPfAkL/3623CVLYKwwvJ2hZPT7JqrpwoEGTiMqjWf8HHvEnijOOR6TF1jR4/dJvbh436dgCNBgqbE7TXjuL1v3zuUTuPftOA78DXNsPIbCAJVbFYw49pJEYXC9DSOI0zJNGLMIeT2N+76MypGh5bUw3Fbh+icl48EzuIRKKDfxDYcFjOAYUdy3HTfehH3Hcg4o9wCTp9lkDXuC8ExTqALplD7iccpHs5Z90DMcs0n3tRJGlRnLNgkaz+y9gBGBb4n0SkMc728IKxI4Pg0rJmzLsJK91Hin6QRq6fDD7LLBnAa3IFfPj0blGzDuXqNBb/1G2eN4cCYXYlI4RoFQdiaULex/DDqFxpYD29bDiViL1ZSfJnxvx+LBNgGUvTO49txEiXRmKHtza4cnZRTnZqPbsLUmDcMWcf4kHhjeEw1ChjUS6r41eFeV+M7epg4suVFBI/jGBomc4qTMInWQ3UUoHz485CBk6DzkuDPngbNRhQ20+WSISQg3wAlnEkpGlXB89c6c8vcYnJlVDInGcR34vAiy0JDeXezQp+0ok36GtUIGmOCJvcbj52IjKJyfIMpPICr/AMcjE0HFQ66GDNXh3AwVZ0gsf8tucGLj7E2Uv+sod2HswYimdu5ooPMPx9bOHvKkXME2jMrLbmxgTodRXAyK5pzBQzMR4S0859wxxMZB47NnnYmyvhR/K/kD/lKPNeH9OWF3XMGzu4LrzL52lj02CITmtvDfV0wHC947Gz6nSno5jk2WQgExZ0cKn/2QhQchnx/MktWnIMscLujB79T1ZRMMFeijWELOwtGNQXa2+d3yyfJxG+dzWJ7yQZ9jv3TmcGs3i2ZLX3NIXz+OcZXlyvotA/U8y9okUE682LcG1xaLwglHOWGEUrass7f6JOTgKOTYie1bUVewXlTmD3XClcIBCoKOzJQht1QO0FJ0ZNItu8UPHQImaGJypk/CCf1cmVs+C0X9abO4zLISRki2EV+YpLPc7/IyzNYhFcmEnIMD/ko4IYfxXvO3cNpMyO9+n1s+jvv+/IR7x4Jn8kHPxER1BQEqTIZEsmc6BkvrBAQ3X+hgH4wkOjRhXL8Hhttq3G+F9dsYNHjwJ1+PkQH72iDzNKLYGKHcKzZxwdiog1HtwGeOx9uOcvdLMIyyl0+g3O2zrBH2UOD/vND0ub29yrFx41EQ/FOPg7E8RyAbIzCM8kH35RehqHwTTjh7P8aSGXJfLtiN4wcPY1X2WPMM3ZA9OkJR1PBlMMTWYZ0PSy2uhT2DPC3HPzLsMF+P93zARovbP7u0QZjpWOI7qMI/TjydMHYsZUehkGGm50a8hyTewwhlCO9hSv2VB9Z5HK9Mv9YJ/c9EY7nl75fK3fKE12GSftohv0xOxUYYOpI2m93MZuLEuXuwjCf6HCeQTMqxKMrPaFS+F00nRiQ0eJkoi0N76WxP1VvNZpxOOCbBFGQQ95rdOwg/BTLJMHucH+Uou/GtoMAzsuHaW/Ex3WkBPYbv1D12XDuH1pVCmPlMocal7sX/d4APkAlX0/U9x5Gv8LNjZKKsfrrMZRLzcmw+E7vmOtKZJH5MCsd9aeN9JsvG+bTPKc3cz9o+GyY04/tiwkPWFTNp2OE1l/Ha8TmK930Nx8jX6MDhlBdxbB66HBfPxgBl/shSLYqizDdtznRiti9UuU2LayQRl2vhmJwLji/9MLZhDxQ0zMC53uOUT5W74GjCgIHx81I4Lj+fwsihmmdY4YfLvPKJCrdsgFUUTyXkChz385l7D8XlMsc3Fdy9p50yKk82QNORydvIgB/53jI95KxktXq7zxgjPm2YMAkfh7e4XHAIJi1wMvCC2ZDC3trJU77cK5Tr9LCZGYFrptxxofHPXuS8ToB1zWzQpMw5rb8ZeFrcmpHfYoQO4J2NaGWuoVMws9eQNvKZtIy94OzVdtAhz1MGU3AIGBHE8dzDOMskRx8n7sUyYYzqHTBlAeceKwtTXDyrLfYusqcwL1hNGWT5mmKLwgYX3Yd/7twTvIChkKCiZycAHWtGFbjzyKlZoGAZrclkaQy7HscmOzxu+WSFVx6Ds15hS5lEeJdg52RsnHOhhIQg57eXo5k54MQkHR6X9KnBdSdTSVO+ilKWixzW5Yqi3BdscFwdss3rkCSc7yv9o/IfBsPyr0ci8pXRzBKTA/DkTMblgsUm+70u+USZW+ptSYmMhsxYbs6xPBXMjrvS7TZJ0OqSuPdASP6kLyS/G4jI743de1T+n3Aib0/ffQWVFhsGeHt0xmvwN29kBluhoWEzQyfY46iV3P2GBkcqPfc3s84PBeUPegLym7dbhuPy1qzHltrMEIvx+WmniZE9LPhIx7rO+jsJODfsQWG0Bq88V/Z4WtiO9OmLEjpwuT1OyvxDGaIOnD7p8sdIBnySm9D7X+vLU+YmLGH5fyJJOWYdYQyctxXnX219nQ6mLODcYw04U1w7DeN6lCH2ROYFq9mIx+iSGd1+oYBrb8GVj03PqUyGMgJBYSM653+/DLvmryCP/8sk+cxaBiPydQp3BnjnS2AELHckZTgcked7R+XfD4flf4edY2wc8zcmnLnlduOhOSyK0VQzkbU+lLMeLHeEDWGUdXwsSlkucqhrFEW5L3A6NJuU0XGNxeU4rINb8O6yE4VwYY/WNFTpfYIOuMckulrKcaqcVzjETJf5Q7Qz0HFY5LBLOe4/FE/KpWhC3sW9ZpLrcAlisfHGp1ORzCe4nlAS94oaiy3je/AMaq2fsuF4riZUbm5cPqejOYy3mDvfrDLP4N3RiR1OwL7Cu6niO4ScsQdjygW/z1ZPOA9zI5EO4fVC9jnePB80uj7gdcn/7HPKpyBjq6z1zCHAJIOcyqsC6x/GqklDHADDfRn27sT1cwoyzu3KceVMKMRxpHRga7FNLf6aMN8iALcC/ZDO3sxxl5zSSZl/eiA/1yDDdEKZ5LDGckanCxP7dcTZkIR3CPnjGOq85S5rYXZv0xOObVOQAc7bH8O56SgvMkedSAWuaYcL5cfvli+77bLFkhW6R7dQ33BaPc4+UZ0vBhiwkYdznPvsSaPrmd8hDZwyfI6aMHXO/jFFI1ghQt2Hd8ee2iT0zmLohzbrJ2UKUuncFTHIE4dEcDrbfPI5tljPdwzW/9jPifWcWuwFbMOcFWM2Ho43CFmbakhQAOfn7EMsazV4Z1NUF3lJYj/OYGOmlnQ5ZD2OMTY3fRarcY2bUJawqQyYqMvxG+DHOGQ++5aU2UWrMUWx4BgxZnKkwuE4MBoIc54Mi0rVLOkxQdk6lq3wG11Ok4SmEMeEs3LhFBiPwlFY54TC55RAwbhJFtWFhzhmt0xB5pb4l888OxcAxzMtgZPwCAwonuf2YG9UVqzIknhvjdg+n2E2a+BcA7jHzrhNXE6X7PLYUJFxzvUsbHbZ6nGYeWTjMFg7I+nkRVPmO1DmCTbuJOVMOIl3YZc2vCPOn8o557NhpEa7wyEfh2w/BoePifFmA8r5WRhjtyATSRg+zTj/Qzh2dsI+yv4yyNXDcCAexe8roBi4nwGyxzmxe5LQT06n7IfsLcf+ExJVQvb2YL/FuO4IjD7OScspvlg+GF5PJ4Tz03q8btmJa2jLubflKHcNKEdT+Cf3Dc5CcSiansvZhWvkFJhbce3ZRgyTdm7Db2rYzB2cueImZIiOsMvjkm2Qs6U5MsQM9s0w7vM5qHRADqIMDOM9+j1O2Yj3+EDO/qQO+z/udclHoEOX4fd0tBEb0ZJyOQJnBxLaCOdiNX5nBvDsd16DsstcI4/4neb6Mj2+DGg5GYtLJ85tpwzh/Ptx7Ox6vhzn5TRkzIjtTXD+/fS0S2lScovlD5Ubk3RxaqdF2D+7EcKOslWLwsMoqMIiJRG8u2sxOJV2pyx3Qe/h2WTPukGbg2OgM9nkFzbUupA16M/+BGQMsrbB65DNWJv9zPioyvHOn/A65Sk809U5sszfM0su3O9x6Op6PPd8v19DOeNUrMx0X43jb8X74gw52WyEHLfgnU0C5YTJA7tRV9hdLtnBxlycJFvWOT3ZRtR/G12MEOFc+5QR60foW4aps8E6ju0qcG6Oe8+mBeuXoqwzX02eKxgHj5KN32aufku+5ty2LhJ0nnDlnimDgmhDhcTCyIqXy2q3U9agcq3iXLNQYpy83wmFwwQUNGg5ltGE32DfsXnCmWka256H4TgRZqh0yHYoQM4Tfn00IadQkXMuR1bytZYiaLPOzcytG2ActOBHG5QQWxwDUHHpa0PlSIWA/XLHmHEu8nIcZxtqTyb/SYeAMzNmet92XLsL6zmOczx0yCat2GcZFiokcw4oa86HuAQVcRiV3mUo8EbzG+4V9+7F/pn5UjnH4jIstbguB66TcylW4DpacLwVcMCZsG0DrqeSzzGWkOucZgJ7ZvQkM80uw7PnvZvz4/NaHG8zFKsTCrQbF8qs8mz1ZzKdalw/s5/SIKex34D1y7OundeyBu+uGVo1Hk+YqUoS1nvjs3NY9x7HMSuw30fLvLLba5caPNE+ZluGlzmE49CASj/vzJJOLsZXy/Aujst1Yz0rgAYcF7cuQRyT09cwg/MKOBi7YYDRwTcGAWTjGIyf9/ji8uDFNe5FJcXMyWx1duF4TODDc7dAHkzYLtZlz/nNXpRsueGz20KnB5WVDe+tm8YKjsFrolNSgUqE743PnuMaWYHyedXhoTBzqgsL5acFx1mCZ0iZXgkZGIjG5M1QQk7g/EbmsJ+ZJxzyTJnnNDNMkjMRu6zBtWzGu/fiPVLmT2J/7Um/d/AYYWhAp+AdNMKAZ6+ZNwXBwTtuxPtjBAPn2d4FA/3jfugwlDtmpaW+IewlM/OEQ6CYYfkSHPoT1m8ZOB/2Zo9bFqMcJWH0n8UxjlvvmHqlnoYTFk5n04j1YZw7Pa8yZBL6cB+Oz8YdBwwjTrv1DuQ+04DjxBVUUcZ4/ZAv9iiy0YAZ+5npnbL3oTKXtNuS0hGJyVvQGe/xpgENoXJs24ztWqBTq3FfLM8MR2S54/qH4Zxvhuwxq27uPOE00huw3Qqei9eLZXlGZ0DfxnCvPXiWKVP20joDqmtcZ2B7M0+4A3o5kpDzdHDwWzacYWEDpyLDsxuNROUoPKdLOAbvsxfXvxrX3YIyygRzVbj+IM5F/cpytxnv7AnoDD5XGxsFUbZ0nvDZhY+TwyhaUEaa8C5qMo8X7yEjQ3uhux+gc4GXnztPOOWYPYCU8wbIThPfI35jGTD1JI7Rjt+24F1+0O+Szam4mdaJDbvUnzg1CjH0NmSgGY6Bj+eAzNF55v5t2HcD9n0M+9ZCai5AzjgNH5OQ8VLZeNDE8of9mSm8Ed9Z93DWAda7qyF7D6P8bYQ8B1F+3o3E5U2Uv0zdwRkVWL8tY/mBfPPcbCiupgzi3EuxP+cRb8CxEyg/ufOEZ+yVdvzN1DtsiFjrhrOE++xBvRPBs6zEb6yzK/GseG5T9XF7PLP3o16Is17Btldz6w7suxbH24661YFnz/LLDPCMTDN5MAQ2B35nhniGmvH6M7pnJZy1B1AvreW+uNNSnCecMhkIR+VVPNDpjIlP4vk04L0yuoiZ8f183nzfeF5GVlEO1uOdf8wH2wHvahg2J2e8MOBdbMGzXon9GE4OdWciKDivN+V0HfTms37UJfjRDV1/Aw73cb5/a3f2qrNDaBV1Pd5JBeSDthPz6fDcrbCTnqKNiHOUwTKZOE94ysil34Y6AWWxltKP76y/0tfO9+xEXUM7JQU7JS4/g53COc4zQwBpIy53usyUrD7cGy4N9QD2xT1Q1nfgvndBXliObEnUc5Q13CPnCc+FCep4Ptq6SchUCNfBBiveRzOebT2OzUdbcMMP54DsecJtKcYC3YZ1O5+0PilKftZQEbBXJavZ24NCVQ7F4IOSD6ESC9CIpKTBoUjFo/I7oWS68kAhXAVj9T/XecQfCskfBOLyQxhOE7HLo2Vu+fVqt7TAfXyjOyLfhjbjGDEa0HvcbnkGlVIdlJXZGn/9UIwV7MpBJTSKbdnqbkjG5B0ompex7pS1agxcyyIoia/UeI0BaUMFygzEnG6ElKdi8hL25ZRb49mKHfIZOH/vw72OhXVCqVRDaTFcMoZjdEMppgsZDE8Y1MdQsX0Vx6RhuhHX/n4o4cd8HH+G36HE8L+5B4YQmR5wLMzGOoCK4+3BiPw3/J4OX7JBwTvlczA2mtOb4R/cO559LRQ2NJ0MRBhOl1ZuMTiWXeGw/Cl25lQVVML7oESfgbFPB5I4oUwzzy4BhT4M4yXInXkHCdx/MCGvQYFewbNqwbX/QZ3bNCwk+JzwTDPPaiLmxcuVYFR+hG3eTj8M8+z+UaVX9kOJ1+H3BJ5NP+SEvdmcW5tZoHmfDNu1h0Py1dGY/C2EKH3vE6HB8uXKMhj4NqnHsegc9fEBAwcqmB488zdCcflW5tyQKbZcP4MlM/UN338lnlsl7p3TR/Xj2bHBhbcUghxdCkfkv+PkmQYUNjR9scKHdyjiR8UbxMJWYyYb4vO3452N4J0dGI3KX+BAdKDN40GluB1G3u9Vu4zM/w5k/g3WbhNwyIcr3PL5SiccpbTM/x2e+3nrV+XeYGb0T5b5TCb/JTCQ7HjfoyjXbKBimHoZ1rEMhODIHR5K65uMI+uA7Px2TZns9ibNfLM/HYzJ36R/GoMO4RcqymHgoNwFQ/IPkIGvW/JIFpuEjC75YBnKGuQ1GE1AxrAtZN0F/VGP84ehJ48EYvITONFvTBAPzl3rls+Ue2QDHFU3ZJPllGXPiX1N2ccxB4MReTkYk29BtrIbb+pQ7jiLwZer0kkU4yi7QexPwy9F2UXZgzoTB3R1P4eXDMTkRfzGY7TivvZDZ3DWgrTGEHO9fugqPq84ezghp9k648eWzriOPWi4/bPqMhitMbkyBH0wGpcXzFHGoQP+qXK/7Mez6x4KyF/iwbyUtioN+7xePDeXbIXTwmukjmPxseE6OCVPGa6DhqtA1/13PL9vj3XtKLMFnbYtbg9kCI44qxpLhsKUU7yDKtQjXiwOaLxwFOVnIC4vwoHIOHNsNFrjcpspODeZhkZL/+NVJSEnZZBBznGdQLm8MRKUb+AdHoIMcC7hNHb5TIVXHocDsRhOFZ3NHpQviJl4WXeg/mWZ7gqEzBjdA/ghuwGWkSYfgE3xPpT/MpY/OOqsJ1OWDFWizojEYCsEovICzn0wp/yxkewTKH/rYPO4cG5GRnF/Zscug8PjxDZM6DWK8vPmSFh+f6zSssl+j0uexXWPjcfGs+DQkio4Ygy1Z71DkaXURnDsazjGH+PemISOY4yZTf7/Rr0QCgTlP6JsMfJsAnanfLTcLb9R7hAXnv13UH5/jPu/an6EfkH5/+fVXnkAeqIK5SeGdzdgypdNyuls4bnjEYgdv53tC8pfQi9OvP/i5Em/Tz4EW2uNIyEdgwH5SlTkyrTuyyYPQV8+jX23wFbyWPqaOo5DYxiV04B3F0FdcRZ6/kXYGT/myzPY5Jkyr5m2daUlK2xkiWI9ywefN2XWTEELff8ebKRvwlh+C3tmDrEI9vXjPo98DO/Tz4ZRvI9RvHPO4ujAb7QzPTiWk0l9g2H5Tew/NnwKssU5/fm+GZXng40Swfvm8A426NTj/E6cqS8Sk0OQ9f9qrm0chuDvhL79bLlTlkGvckaAActWcaAugNlqzo1DiTsWludQF76A38+aLSayFHblM3gHT/thY+KcI6hTR6w6kUkYh0bD8n0816mS+ZYSpw+8ZH3Cc9SecOVeaUchp1OxHiWSlQkXP7Q4W/44tpGGoddaXwFFUAbn8McoqP0syyjk99ITzh7e9R6P7IQx24TKnOcoh1I0BgDOT4eISpLKzpwfSqwHlf0VKLHJrbvppDF9uDbTa8xjWcdjKA6d2i4osJu4PoZ3GuBQPQjlvB3XX5M5B7anEcgWS56/LLMeC43GPlT47+AWqWsGUOlyrtMENOoiGLI0PrgdbgXGS0xODoflZsphnAY3tu3FM3oLO6ZtUrbGu+SxynRLZaU5BxQjrhWnxrXhODhe5vx+rE/hmG9jf85typC9DahcduHaq1Ahc5syvAueG/9jd1QUmWfH67Lh2bMBgvvjvipdNCYcpneM92kaXqxzTVzw3lhJReJyDs99rAEDz5qhfmxpZitpLbYt43Xg5BHeOxyIn8OqY4+HC8+NY1v7sH/uvKiE9QJ7DNnLwN5MPovMdXNO5FE45Zyz+9SYaNlls88lu2EE8tllrjXz3ji3N+898+xQ95r38RruPdNKzaELJ3FPjoRNqvDcqiGjfI50Atj4cw0V8k/g/P/Quma+bwPei/aE318oBpfx7PshU8KeILy/Wjxr874hfzYYNDfgxD43HJPvobxfww6ZV3SvPeEkQIcE8tgRTZleP4Y6GhmEfnRRz8Ag+SEcSDZanca5s3xQA8PKz8FgcUNvVGP/KsgeZZ5Zp1OQvYuBiPwDjMGf49rZKzEm9oDDbkxYOgpNLcqK2R/7Um59qYScHYnJMMqAC9eSwv1l94RzzuSNbHDFxml9Q2cJTjufGX7PpzOuwqOgzujHFvfSE56hG/c3hGfHxpAmGHYsc9TR7EnqRnl8D890MZ6HHe9Qe8LnBo4b7YUMdUGGylEH1kJ+q43uw/uHDF0ajZk6hrMM0PHI7gknLAqs+67i/YfwftiLTBnOyE26nozJQdR//x3v8yx2yMwykSYll1Gm+iAHfshBg9tpGlC5rwtHH6BTgX3/EO//9KR90+XvBmS7F9fPKL4aXH+5pbudbLwOReXHKAc/xO9ncd255Y9TAF7Htdfh3s2+5rpxrzg3G78ORtN5CyiTE3vC7bIO9c6+CfUO61yr3kHdkF3vsAE6jnt5HfubRgQ8p2Zsf7c94SSFZ8uoMif2a0LZr7PuvQIFeATn6kJ5G4GjzrnQtSc8TRfe903ocagsPJe0rGXeuQfPMxCKyE8hLz/ABofwrLPaW+U6ZLQXC6Mn+KzNu8V+jFTsgqw8D0+UU5hy2jw6ub3Ql6exHw5jGEU5uYX3OIqD1uK90M40uh6yamdDbTApUcgOIwYDE3rC0zAHw7uoCxjtVQlZN3YKrwHymYCOvArH/0XYWn+L95xbTngfHTg3G4ipuxn5YmxFXK8jmc7yzjLsx/oyfD9HWYNc5esJD+A6WObqIZ+M5DL1B2S9HMfy4W4DqI/fwzWwg6jU0Z5wZVZhLyRDsmvofNwJShsqpuNQ9EwwRNONcxlyXCbnrrzMij23UsE2dVAYS1Bo2QrZD+OzA9swpJ0t6g0o0C04N1ue7wgUXz/O3YXCnk8B8xaobFqpHHA8nDYNrpWt8v24PoZojyUdw/k5dplhcdCBd8S0JEIh06jMFDzOm8rQ6CYqZpyPp2SpZM/1CLZN4f6YwI1Km6FOF3H+9CNiCB3DalFZm++3h8cMQ0mzQmaYE8/LZ9fqTJ/zjuB62AjRjZMHsC+nJdsMI2s6r52Mwmhi4rle6zthDzzD9hjiSgfCkLl3GEpDqDgYtmuMG+zL9zZlwjdc02Icpx7Ho9OcgSqOEQ1MKNSBY6dhSC5DwmAoWWtuBxPa0JE/h3vP7onnvTOEkeFlrETHboHbG1mBIcP7sdangdOH7ZkZ3oFtzuLaTIPUBNiCnb4+NkD0w5i8hW3Ge4KU2YBzHvPdVaN8sfEpA5PaMLKhG/JGgyLbqIKpbEKwa2DMxbEdx2jftH7LwIYphhumQ+9QbrDcyHnHDByi7mzHezZz91oyy3NHuA/+DmCfXMMoA0MNGRJeS3nHeczu2J4NiZQ97m8SWJmtJ5LRc5Rd9qRQ76T3hY6BfuTczJRnlvkOGPoss+whYc8InWQO9ZkW2L8Tz6cbx6bsmvBGPLsKPLsg1+P55jaqGf2L87M+YSPHdWzD+Ziz4fQ7nO+Z9YK5dsDnxpD1OpdbfrsKHnwwJP8DxuX3YZQqsw/Fg++KdR+HRWXeA3UfZYgCbXpVjQxBF2JVriyznHBYAd8l9b91CCPDUep6yDEbwLLLXzYsvwyBr8Y14H/DdPdl3cPxzwwzZo9e5ty8/iiumbLJ3uepyh/LQjvOzV5/npv7m7KLfYfxdCqx0oXPtBlYZ6dB+cH5mOdlOgkReS8chsZ6xzT+4pyVOOcG7M9Q94u4RtYvE8A2DPFdjG0YDcBnz/JnxuOOkR5G14hr5L0bcC46mas8Lnms3C0rHXE50hOWv8H+HAJX7NDWYdg055hnIlw+05mEPtNeYrQlZZX6dvyxoR7AO87IS75jpm1k1vvjdmI6cRr3E6mBTFD+jROOspMZOpGB6pZOPGUnPb2feV04BuQL98HGGs5lz3qDtvWYuI2RllXWFXzf3J/QrmE9x4S4zFkzFZnOjSro5PF9YaPhnjnMiA0SXnwfsw+tbXKhvU4bjeU13UmXhs+C49eZNNREfJQ42T3h6oQriqIoilIUrHU5pRlm5giMNvZyjhu9MPDw21NlHvkULNXhkaD8RSguL0zlhSnKAoMRdZyRhEMHOWzkKpZMrgtSY3fIkyg/nyhzSG0yKs/3Y4FTx0gYRVFmh2wnPNOooSiKoiiKUsDYZKvHJR/yueUjXqfsdztkm8shW50Mv8V3rHvIw6iq9JAj9hIpipKGvY/NDqd82I/y43PKIwxbZ/kxC8qO1yXb3HapZORZKC7vofzoEChFmTu0J1xRFEVRlCKACRh9Jpljmx2mSzydkItGjA+OBJN5MQR3JBSWvx5NyNuJ/DkkFGUhwhk9OP3al6pcZvYWSSQlFEvPmMJsbBxv7GaC2Ghcjg+G5U/ghOcOBVEU5d7QcHRFURRFUYqOMrtd9rmd8pjHKeu8TpOgyIzHhcM9Go3JpTAzoidMMi/mj9DOcEVJw3LCXBKrnA55v4/TyDnNtFsO/gBXgFMMXkH5eT2cMGHoHNur5UdRZhd1wpVZo8JuM8l9lrmYzIyJiNJjjrKTLiiKMn2okDndzXAyJT3JpJk79CIzASfSU6bdC0xeyHnvORc6s3KbZCsor9lJ5RSlsLFBhjmnNKeRS8/CQWjKMFFeAOXkBspPECVpITkQVA2cmogJLakrbkJvXIonpBvOVPD2Zt4doW5gMqVl0BmLoTuYDI16JJPkSev6YsJmEkGm3yGTOjLVJICMMBFcgOPEIT+XUHiYVK4Dy1XUP8zyPQjZulfUZlTmE0os6wFOKccZGZg87hqWK5BpyvP9qCPUCVfuCUYxUWlyuofVbs6z65BmZzrLcLmNCn48W6iiKDODCpnONg1nZvhl5tIOVBoXmCU3mjaGZmpUM5MvswCzzK5CmWX2XGal53y/nJ2AzrmWV0UpXqgRYvgnBN1AR5xTiHViuRxLT2dHh5xTc81Ec3CWCTbUZep6zhrCmSzovJVDd/B3bbwrLSgfdEwikJURyFI/h3RAjljvUI7Oox7qhzNDWZsut7MZK1A3MUu+2ozKXGHkGbJM/TeAhfLMKULPWvLcg+9jc6vPA+qEK3cNHWxOGbURinQnwwHdTjPtgaIoc8sVGNPHonE5EonLaVQe7KVIWL9NBQ1kzgW9BsbPNpTXrR6HmSJKUZSFQSeMzZPQFwcjMXkPf2lwTieihtP2UVdsgd7YjmUVPmeiDpSFxyicl3NwWA6E43IC9RB7E9nYcyfUZlQKEepAOuAHwzE5Dr14CZ+HpiHPs4E64cpdwd6ylaiIn/C75aNl7rEWcDoCcYgRW0Y5GwxDmuZHlBWlNLHDcGH5cqLMufCX82vSbGG5Yo/ED0Yj8mYoLn3JJMoeVuaB+7Kne5/XKR9GeaVBnTkG94nhE/+y/LLMKopS3FBL0L9hMxsdZuoN6hGWbjpM3xuNyuuhmNyIJ6bs+eH2jI7ZCb3xNOp6OuDUGySjN1jXq94obVgHcX5qypHT+kzYq/gqZOilYBTOeMI451NBB5w246N+l9qMyn2F8jymF6HRaB8Ryt2BSFx+DN14EH8pz3Mti+qEK3cFK+P3o1Le53Ma5ZqBoR1sYWfr6NVY0oxHY0jc/RhroSjFDEsVDZVKOM/NTjsMGLtscjtlg9thEuoQGi0MqzqJ8vaNkYicQdnLB53uL1Z4sK/TjPvOVDo0pE/F4nICFc55lFeGZQ3DmWd5VUNIUYqTjPPM8PFlKPuboDMyZZ+wfLNepr74geWM56MS2/9apdck7eKQlYzeIewJpd5hGKcZI5xIQR+pA1VK8G3znXPIwRLI0XrIEXuxFzvHI6gY2stcJW+E4/JXw2Fr7WTY+PsUbMblqMfUZlTuB5Q6NiMyp8Vi2FRrjTw7TeNQhihkrwu6jE74X0Ceb9ewNBuoE67MCAoxFfGHoFB3eV1GOVNoGNZ2GEJ7JJIJ5eBY1fRYovxugaIod8JUGviHRgvH0TFxzVpUGnu86YqDRjLLH3u2vhWIyCswppmEKRuG/3HO11+CE85EODTQuT3Hhb4VissZlFcaPlwXRhXAHonbVgSKohQ01BvsBef42jIsdL45/nYHnOmNWKhHCA3Mn0Jn/BCOOPNMZMMQ9AegZ75c4TXOPHuNqB/YUEeH6z04TQxvZ9JIOk3UG+o4lR6sL+iI+/GB9c0iOOCbUQft9TmlwZ6WCzriF+BA0wk/BYea8pCBkkab8VPlHhNRwbqMv47bjHHYjEm1GZV5gfLMqCA/BJP2EHNbsIHyQchzK/ScB79RlzEJ4V9Cno9CPucyND3bCXf8HrA+5+WP/vTr1idlIcK2Ilbmz0KZ7oIyrYfAUvnehLC+GIzJa6jMqYCZAIbKVI15Rbl3aNhmMh33msQ4+IvPNGboYDM8kBWHH2WT29AJz/RrMQnbTjjg7IFYhG1pELGl9ygM6B+NxkxrL7PdspLhOdT4UZTSgHqDYx1HUd77UL45uwL1B9cvddnhpKd7tqk3WO7ZeM46mzDJGhv7WNevcKXHf8dwHDpL34fD/k44Zj7347hhS29YuyolBt8rI644fzgzSKfrIMpS0vSOM+KCTg3royqHzchFALJCOcu2GZmHpBpOO9fTSX8OcsRQdrUZlfmE8kV9Rb1Fu4fyzBkA+JcRh5RhyrOXTjp8HNpTzKQ+V7bRP/6NL1qf0g0EijIlrKzZYrQbDjizolJhUnh/Cgf8R1CoDCliq7iiKHMDDRj2ILwB4+WnwagchzNNI5uljgnXGDa6BAZ2BjreD3gcss7tMNswkzoTM/0MZfYXOAaNqbmqXBRFKRwGYGQeisTlReiNd8Pp3h2WfeoIJsliturMMBX2fGeSsGV6wNnT+XIoavZn+Dkb4JWFB+sQRk0weoJ1yDV8piywV3GP12WGPtDZJvlsRtY5HP7w49F0ckC1GZX7CXUbEwv+BHqNkYQXoee4jh0b1ItbIM+U3flAnXBlSlg3M4SN48ArIZz8zvAhhp//3UjEtLSrKlWU+YFl7U0Y0l8djlg9WClTJhmivsvjMj0QXOiUr3alkynR4OYURX+N8srKRsuroiwsWOY5hvu/DYbMGFyGo1M3cJ7oR30u05tJvcEGvewkbOwN+ofRiHw3EDUNgYrCaKs/Hw6b4Qw9iXRtQtnZDzliww4/59qMg7AZ30G99Z8GQqb3W+sgpVCgXvsmbCNGaDAUnVBmd3hdxq6aDwdZnXBlStiiuRiCuMPrMJ8JW4x+DgWsPWmKMv/QgOH4zOdHYyaUj3B80yaPQ5rwl8sGfG7HX8Iw9BesXiw1fhRlYcKyH8A/z8PYpCNEahw202DHMZHUGxw/np2sKD0GPKEOuDIBygOnKeO4WcKahomuOISBcqQ2o1JMUJ5PQpY520wGM589FubImGvUCVempA4CyLlBGaJBUbyFypuJWdgLpyjK/YFj75ih+BQWjgen2cxkiZthRHNh3gaGmLLHi/OJv4cKhtnPFUVZuDByhpnROR6XY3tp/DHx43pPWm+wMS89DjydBZ11faa3U1GyYZQEG2iuxNO2IKev5ZAoylGuzch6Sm1GpZBhZnTKKecNpytOPdgGfbgUsjzXqBOuTEktjHlOLZGB44CoTOc6fb+iKFPDKcY41pNztDJpDqExzXF4XJjNlgzD6D4GB5zDRjLJlxRFWZiwGY6NdmdhbGZ6w9lYt8aV1huZMZActMJGPmZB1zHgSj6YZO06HPBzqIMytEF+KEe5NuNFtRmVAod6LtPJyPnrSSOccA6xmGvUCVemhBkuWx3jLUGcF5KCqijK/SUBQ5njPDMJbpgRnfOCc+H0RIQG92kYQOwBUxRFIVdQj2d6uDkCnD2Y1BuMpiFssGMEDfWHokxFH2SIWdEzsBGHcpRrM2bG2ipKIUNbijYVOzkIcxtweMVco064MiU07Os48agF0/lT8SqKcn9hMaSBk+lh4LRDzTCCuDAUkITx2zUYSZlKRVEUhbObZCJoWL0zKzr1RrmV3TphejmTE+Z9VpRcRiAf2Q42O20oR2ozKsVIEKJMvZeRaEYX1lg6cS5RJ1yZEo7zySTXIDT4g1blrSjK/YMVxRAMoEwvN8NKK2D8cOF4JsJMtoPYRvshFEXJEIBTFLLqcaoKGpvUG6zvCfUF9QbnG1eUqWAj73CWg+2z5EhtRqUYoS3FKRwz9hI7M3zjojxnqBOuTAnlL1tAOPpH02soSmHABCKZCoNllUGAXDL1Bv1zbqMmkKIoGViH59Mbmbqe+oLRM6o3lNtBGeKwqAyUn2w5ImozKsUC5Tk7apBynNWeNGdklxdFmcQ8yKCiKHdBrpHMsppdXvm7GtKKomRzJ71BVG8o02E6sqQoxUI+eZ5r1AlXFEVRFEVRFEVRlHlCnXBlSsIpZsBMji06XYmiFBbMYJxdRrOXTOZ0RVGUbDhON5/O4DKQNS5SUW4Hw3fzyVBmUZtRKSao9/qz5Hc+bChbClif87Ju55PWJ2Wh4bXZpCyrmSYACVWlqiiFQ4V9PKFSLpxqSB1xRVFy4cwnvim6YKgyshMUKcpUMCEos6JPhdqMSjFBlVjtsI2FoTM55VxM1Xj6wEvWJ3XCFUVRFEVRFEVRFGVOyXbCNRxdURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5glbClif87Ju55PWJ0VRCh1PZb3469rEW1EvTl+Z2GxsZ7OlfywWoJISsZBER4ckNNgpoz3XJZVMWD8qxU6Zzy8ejweyOVEuWRVFYzEJjAasNYpS+Pi8XvF6vGK3T+zToDzH43EZgTzfwcxSigRfTYv4alvEU1ErTk+mfi0yUkmJR0MSCQxIaKBDgr03rB8WBg6HQyrKylFeHXh/1kqLZDIpwVBQItGotab0aStLyvLKpLTib7UnJXZbqtgsRklCvY7GbdIbssvVEbucG3RIvIBV7ukDL1mf1AlXlOIHNYnd4RI/jIOqReuxrJOyunZxl1WLDRXNpJqmwEmhIoxHRiU82CUjXZel/+IRCfZdl1gIxqw640VPU32DVFZUioOymUUC7300OCq3ujqsNYpS+NTV1EpNVY04Ydxnk4RpFQ6H5EbnLWPcK8UJHW27y2Pq1+qlm6WqbTU+t4rLX5WuX4sM1q+x0DAc8E4Z6bgg/ZeOSrD/liSiQfNbqeNxe6StGe/P6cS7nWgbsdGsu69HhgMj1prShLftsadkGZzv3U1x2dkYl1VVSWnwJcVpx+/WdsVCAl7sUNQmNwJ2OdHnkFduueQ8HPFBrIsXoEirE64oJYTdSQe8Vdp3ftg44C5fhfVL8ZNKxCUEZ/zGwR/K4NWTEh0dtH5RCgdWITnVNquVSY0/6e1aGpulurLK9EhkQyecveDXb13Ht+kfT1Fml5nJc0NtvdTV1k12wiHPoXBYrt68is/cNguV56LB4fZJecNiWbTnWSlvWiZOj9/6pfhJxCISggN+7e0fyPCtcxIPF1kU0nTLUdZ2Xo9HFrctzuuEx+CEd/Z0ydDwkLWG3P54xYjHkTK937++PmIc8BoP77E0iMHpZm/4X57xyJudLukJFd57ynbCdUy4ohQ5dLoX7/24ccCd3jJrbWlgg2Hrq2mW1q1PSlX7WmutUljkqeTyGijTrQxn+3iKMhNmW/5m+3jKfOKrbjL1a0XzcnHCIS8lHE63+OvbpX3nB6W8cYm1toiYbjnKu910me3j3X9q4XT/1sawccCr3KXjgBP25C+tSMrnVkVlZ0PcWlu4aE+4ohQxnoo6qV2+VRbv+ZhxwBkex3HUDOEOdF+WZCwqdyjiBYfd4RQvDB82KtQs2WTWscW+99zb0nniFRnpuGjWKcXJnXvCF9YYRaW4uXNP+DUNRy9S2ABcv3q3tO94RuwuL3wvm4x2X5X+K8dltOeqJBOxdEdpEcH61V/XLtVLNkhl62qzLhENo259WbpPv25ysJQyM+8JLy2a/Ul5rC0uv7khbMaAO/AI2HPMEO6TfQ4JJ9Id/cWEC473Yjjeu5risq857XiH4jZ54ZpLvn3RLcdxX4WEhqMrSolQ0bpS2rd/0DjidMA5tqv/4mHpOfOWccaTCSikItOovA93ebVUta+TpvX7jaFgg+EQ6L4iXe+9Jh1HxxWYUnyoE66UEuqEly61y7ZK67an4LBuNN9ZB/WdPyB9Fw5JaKhbUgnmKCmy+hVy6qmol5qlm6Vx7V6paFlp1g/fPCcdx39mbIdSZqE74VvrE/KrayPySFvMOOCXhu3y85su+dFVl3HGowlbsbUriRP30ehPyo7GhDy7LCrb6uPGMT894JDvXXLLN867rS0LAw1HV5QSweWtkPLGxahM0kV5pOO89J57V0Z7r0syzlb6YlOnuORkQiLDfWYMOA0C09sA2Ovvr2k2nxVFURRlLmFjsL+u1fomMnjtPem7eMg0djNfSbE54IQNB0x6OnD5KO7lsLUWzml1k3grG6xvSqlS40nKmprEmPN3tNcpL15zmYzikSJ0wAkzod8atctbnQ754VWXaUgg7PVfWlnYyXzVCVeUIsbh9sJQqB0boxQa6JJg303zudhhBtfhjgtjGdE5JQwz0irFwGxX5cVoGiilg8rzQoRJ2LLrHE7nFRrstr4VN5GRfjNkLQNzyzi95da3YmG65UjLbwa/U6TJl8yYjKb3+8JQcbmCvHb2dPudKfE6OK1aen1/2C5HesanJ+N4d45/L2TUCVeUIsbG/7KmSaHDmuk5LnY4XUoyPj6m3Wa3j/X4K4WOVSvOGrN9PEWZCSrPCxLUN9n1K+vWdA948WNshfj4vZj6NePNFA3TvV4tvxnowDJ5WQZO4RVLFtf9lMP53lAbl48vj8rjbTE42unhPpyqzPTmW343xZkh94WMWrSKUszkKpgiDD+/HZNSVhRXXaEoiqKUCqVVveaxF7SCXWhQAgpZrOu9STPG+6PLovJPNoXl9/cG5T8+GJT/dWtYnl0Wky31SSl3WRuDYiui6oQriqIoiqIoiqIodw3nIG8rS8re5rh8ZGnMOM+fWRmVL6yOjC2fWB6Vx9pisrE2YULjpwrAYLj5Aw0J+cSKqNnng0ti8kR7XPa3xE2CuVacJ5JI94AXK+qEKwXFovKkbELB5Dx/c8Hq6oTsaIzL8krNVqsoiqIoiqIodwPDvctdKVkCm31PU9w4yXSWPw3H+UtrI/Ira6Pyq+si8uvrx5cv4zvn8f4YHOunF8fMfrTNc+csZ9g8j91WxvDzpLTBP6CTnyEGM/7soF0CseKN4FAnXCkonloUk9/aFJYPLp2bcc1skfs328OmZS17XIyiKHdLnmbovMMipttcPdvHU5SZMNvyN9vHUxTFMN1ylHe76TLbxysdaEPXepOmR5vjs//97pAJF/+nm8PyJGz5NXCsV1UlTM94nTc1trCTjT3ltMf/+daw/Dvsx2nTtjXEzdzlPmfKDIwYjtrk1VsueeGqy3zOfewcy35+yCHBIk7ToG6IUlAwvIS91JxGYa6ocKVkcXlSVlQmdASUotwzeUpRzvyraaZb2mb7eIoyE2Zb/mb7eIqiGKZbjvJuN11m+3ilA23oX14dld9/MCifhUPd4Ju53c6edI77Zg/6v9wWlt/ZEZJnFsfEZfV4L8M56JzXYZvcsHWGofeG03ObFyvqhCsFBQskpx6Yq4yGb3Y65XrALi3+JAp2Iq9+Ve4eZi/nVCc1SzdJ86ZHpWbZFusXRVEURVHuFmZqd5dVS92KB6R58+NS2bbG+kVR5gfa5pz2i073P9oYMeHk/F7mSpnfgnGbmXP8+5dd8t9OeOXfHfTJ777rk//tLb/809f98r/j85+855EXrrnkcI9TrozYjRnO3u9W2OW7GuPyOTj2v7sjLL+xIWJ6yxmunuuA94dtcqTXCQc8b6xC0aBOuLKguDjkkL6IzYTErKvRnvDZxFfTLK0PPC3tuz4sLVveJ3Urd4i/rs36dRw66ZVtq8Vb1Sh2Z1ZaS0VRFEVRJlHeuFTatn9A2nd+SJq3PCG1y7eJr7rR+nUcT0WtVLSsxN/6CdOrKcq9wg6yZjjKHM754WVR2Q3nmNGrSXjBIzGb/BiO9V+e8chXz7rlOxfd8sOrLnnxenr52U2nvHLTJT/F5+ew/lsX3PI359zyVWz/9bMeuThsN8dhODpD2B9vj8mHl0SNU97gS5mp1DqCdnPMQ3DeByJ26QnZzD7FjDrhyoJiAA54Nwoyy+2S8qRUu9Otd6UKK2R/XbuUNSyesHgq68Xh8lpb5cfh9hlHOXffzP65cNumjY9I/aqdUr14o3HKHS6P9Wsau9Nj9m/a8LDULN0sTm+59Utxw2fpqajDvS2Rqva15t5ql23FskWql2w0jQ5l9YtML4bd6bb2UrJJxOMSjUatb4pS3CSSSYlEI9a3hQmdQDa6+mtb4RiuQL2wwURH1S7fCh25RaoWrZPypmXirW4Sp8df1GG+1Ou+mhaj5yfUl/ju8leJ3eG0tpzM2HPKU1dzcXrKxN+wyNSbdat2SPWi9ahv6yfVJayHKppXSOP6fXjW6yfVv8rtYf2TSCSsb0ouHP/9YHNcPr0yKutrEiZp2iicb47L/tkNl3Gm/+qMW35w2W16qW8E7MbmpoMeiqcdZn6+POyQd7ud8hM45N+95JY/P+2Rn8CBP97vNI41e705bHRZZXoseThhk2sBh7yIbXgO9rIf6XWUhBPu+D1gfc7LH/3p161PRYrNLjYY/j4fjGSPWzxut7itxWVnC05qHnMsQLJsTnH7fOLxeiZci9vlMMkeksUuUffIo21xk7SBISpMyHA7WF3TgWZyCK8jJW78zYSy21CZ53uvnMi/Eo43sywyJP3CsN2MKeH6YqQMFTN7nDMMXj0hIx0XrG+C37ZjeQCO4CYTupZZXHB+E9GQREcHrS0nw5b3ehybx8/et7x5uTEaRruvWFumcfsrYBg0yGjPdeP8Syopo73XZejGGWuLdG95HZz05g0PwShx4FovSiw4ZP06GRpmzZseGzMmQv23pPfcO+bzfQcyZoNh5XT7zHuoXbJZGtbuhaH0EJZHYAjtl4bVu40jXtm6SnwwNGk0pZJxScTgbFJA50/5zDO8r/xlqqKsXLwer9jt423ASTgsI6MB6R8amMIImvp4ijL3TC1/ZT6/+LHkynMwFJS+gX6Jx/NlDSpteeawJIcL9hZ7ZVtXmobZhrX7LN34sDSu24e6ZbtxFOlkuuGk8pkkYxGoxCQ+8vlwub+w8ZQNBxl6z70rwf6b1reJeMprofMfNA0MVe3rxupL9kpDICQWGkGdG7a2nojLW4Zt1+K5PGjOl13f8vmER3qtoV7lEuy7ZerRRCwsgc5LEui6bB0lbQ+wDqpbuZOmrwxdP2Pq+algw3HTxoetb3CQOi/KwJXj1rdiYLrlaHw7p9MpVZVV4kB5pZ1IUsb2TkrPQC/Kbch8vj3FW35XVyflfe3jiY/f6HTKsb6pG4gyMFx8R0NCvrQ2ajKh0+6mY3160C7fvOiWPz3llVtBu8STM3sufJIh2N+MUu0N26TCzbHmE59/D2x0+gN/eMIjN0ftchPOPUPeu0Ow37Fkb10B+/5TK6LitW7pEhx+OvuFxD/+jS9anxZCT7inRtyLH5OnP/0F+dyXvixftJZf/sLn5ROPrZD2+tv3Bs4ubnE422XzBz4lz35+/Fq++MUvyRc/+4RsWtwofmtL5c6YMSRlSVlfG5cPLYnJJ1dG5UNLY7KvJS4bsI6/5+P8kN1Ma8Cwl0+uSI9nKVXiqPjZa123YtuEhRV1FQyg20Fjon7N7kn7OpwuiQz3WFuNE+i6Ipde/Yb0XTxkzpsPGhj1q3dJPBKUGwd/JOGhbuuX4oMNA+UwkJbs+6SsfOLL0r77I8bh9lU3wzH3wghCJe9wiBOGU1ldu2l8WLr/07Li8S9J2/anTeRA6YYLzqwiHhgalL7B/tv0hBenwaOUCjOTv+HAiPT290k4EjYG/mRKW57d5TWoYx6U5Y/9MnTjr8A5fQjO6PJ0JBB7hOH8sEGSTiAd1tZtT8qqJ39Nlj/6eRM5RJ1ZbCSTMdR7ARMJlVtn0tGlvp8Kd1mNNG96JN1onrVfDZ5FZKRPEuFRGbx2Uq6+/m3jJNMBzwf3Z4N7BE779XeeM45/aTPdcnT77WLxuNzs6pBAYHSKRrNcFl599NSiuJlabGVVYmx89ks3nPJfjnlNGDrDxe+FwajNPNVK12R9yY4zhqhnolYDcP7Zy34Bjnu8yM330nfC2Rzo9IqvrEzKy/3i91s94h6PuJwOCNN8FiaeyyE2VD4uN6/BK16fH9dVLuVlPnHzetIbKneg0Zc0cxF+ZWdI/sXWsHx+dcS0fn1+VUT+JyiKL6+NykeXRU0W9FzYknaq32nGl7Tjd3fWvIOlRmiwS6Ij/TAQoDghd5mF4X8VTctNi3qmNThDJrlaecMS8cKBz96PS2iwW0Z7rlpbj5NMxCUOYyHdmzH5mTL0kC37SRgQnSdelmDvDXwuzvBj9vjTyFz2yOdhLD0wFk7J52Mc67FniooFz5M95nTand4y8dcvMj1Byx/5nAlZ57NeqFBOegf6ZXBkyDjg+R0WRSke2KDEZWoHvHShg13ZuloW7f4oHOunTC8whxw53F785jINk2O6EX+pK5kXhEOfXHDQqxatl8V7npXWrU+aHuBigr3cjPyKoQ7kvWXqS4aIlzctlfLGJaYRIhcHtvFU1pkwctYPmf1MXYLnOXzzrERGByQZh5MfQf2Kv7lBAnyubDTn844G+qX79Bum7k8mi3jupnkiFA5JT3+vjAZHJQE7SZkME6M93BqDI5w00abkO5fc8v3Lbjk76DA94veq6R5vi8kHYNNzWrNcGOnK4aNPLY6ZTOpUq3S+OU94sbOwfL74sHRfPStH3nxD3nr7bTl8tkcGAtObj9rmr5WaRWtk7QO7Ze++/bLPLPtkz+7tsnndMmmqdIozN33fJOJwVPrl5smDcvSdN+TNQ6fkxJVB4aixhVVV3xucBuF97XHjZG9vjJspzZiRcSRqE0b1M1RmJ9Z/ZGlMnkGhXlszsVBTYdwatcm1Ebs0oECvhGKpKdHe8GhgUIY7LsBpvmatSUOH0FvdmA6Vs03sjbXjN/ZGeOBo0hDIZvjWOQl0XZJYKGCtuTM0tNjjwZBEhmQzXL33/AGJR4NQpsWnRemAMylO0/r9JsycvT63G++Xi3n2VY0mEoEZbvnXXcZwzIUFexzorAwND0kkEplGCKCiFC6U30HIMpcwDPuFJs90pDlUqXnzY0Y/MimnGec9TdgYbBp/OQxq1S7TyMljFEu0EJ3j0ECnDF17b+IwL9wXx3TzvthYmwvrWTZcsLGCDbYZ2Ivdf+lI2pm+TWM1Gze8VU3mebn9lemQ8ktHcT3WkCdlShh6zvI6Ehgxw6C0ETg/tKeZyNjvTI/PPtzjkJeuu+RUP+fovpPfc3sYsfpwa9xEsT5Qn54nnM41x5lfC9glELOZHnCufwKO+prqpBkvXiosLCc8MSI918/LMTjg77zzrhw51yODd3LCoRQdlc3SvGydrNu6Q7bv3isP7t0vex/cJ3v3YtmzV3bt2CYb162QJc2V4vfczhiPSyo5ILdOHZZj7+IajpyRk1eH1QmfITsbE3Cuo7KpLmHGc//0Rjq5AxeGxTBhA4fWr69NyFOLYmZ7T05vdx/2OzdoN4klqGAY1l6KmHFjXZdNazpDwLMrZY7DoxNueieyYK9F/eo91ji9ifRdOCSB7sm94LeDjjx7OLgkEzHjyDPEzlvZYJLWsDeeY90KHhhTfDYM92tYsyfdgHEP0HjiVG6NMJ4qmldOavAoZRj+xzHgHDPLHkN1wJViJpGISyA4auSZPWtMyraQoC5jUrLGdftNDpF7bVT01bagDtpp9CyPVQyOeCqZMI7zwOVjJncJI8KyYdK1fNnM2dDARu9cooEB6Tz+c9P7fTvYe86wdYb1x4LD6TwruI5MkrixpHfKBFjv0AEfHhmZZgj6woPjvpt8HPKZkAZvSqJQa+zAoq19esBhHOR7geO3t8CO5zRktMMzSdiujDjk+Ssuk4iN+aEII1Y3YlvOGd7kLx39urCc8BnDpG5+qVi7X3bv3Sm717RKozspoZEhGRockMGhgARjLvE3rJRtDz0jj+1aLe0NZUZwldmHxZ2hMB9eGjXJJdjzfajbYeYg/NZFt1n+7JTHJIjgFAbM2sjpFFZUQoH4JjrhXSFrjsGkTTajYDMsvVSzpLMyZxK10d5rE1p6HQyNhgHAntlMC7wJRfeWS/WitaZyz8AeazrxI52XzLg3GkYMrcss7MFgD3oGOttsiU/BGOVvjWv3GEMg0HkZ13FDKpqWmXFynHKF84kzTJ09KXR0CxUagv7aNhNKfq8OeDbsNeJYPvawFycTy5Yhb49Cel0SshSAA84xs5G8IbszO56izC4zkz8md2WPWndfzxQ94DM7XjHiKqs0Sdaoy1mfzAZspOVUl+xdN3VDEcB6konb2PAdCfRba9N4qupNfhY2WGRguDmdZPaSZ8P6MzLSb5KaTu4FT5m61fR04zND2RvW7TWN6UM3zkpkuM/0rDMioW3HB00yPIa632k2lKJkuuUoazt+ZK9370CfDAeGJcbw/gx3cbxShr3UD7XGzbBOfh6M2M3c3uzs6gvfm63GjrENNQn54pqoPNgckyo45BxXfj1gN8fn9GVfO+sx54skYK/idMzftK0+IYvKS+f5q7t4O5wV4qzeLns2tUprjVuifRfl7DvPyd/8zdflb7/xDSx/Ld964Rfyytl+CTs8UrV8h6xd3CDtldb+yqzihRJgwjX2WvtQgE8NOIzjnV0cGWrOHu4/PukxmRPZ0726OiHbG+ITUmmEsR3HhDOcho46p1so1d7weDQEx/emyZSaSo2H5jtMGFuDSSaWSYTD0GqO3c7teeBY75sHf2gSsjWiUt/w8X8lWz//b8eW1U//zybcPANb4/svHZXY6CCOv1nKm5bL8M1zEui5akK41zzzW+m5xJkpfdPjsnjPx8wYwkLuDXY4Pbj3/Wac/GzDMYMc01ec5KmM8zampNex54E9EFEal7fZbgLT3U5R7pmZyV8gmM7qzyEV+U3DmR2vGGF+kRro+dmG9QF714umgRLOWSw4IsO3zpss5tmYkPSGJSZbfAY635y+LRfOcNJ9+jXr20TYsD10/bSpX5PxuNQs2ST+ukVjoevMUbLq/b8uzRsfNY27HF+/aM+zpt4uOe6i/mCvd09fr4yOBif3gN/F8UoZhp/vb0mHiJPukE0OdDMZ2r3f/97mhHx+dXqu8UzH5cVhh/zDlbQDzhmLmKztnS6HvNU1HmHM4aYcF14qqBN+G5xlfqlZt0JayrziC3fIjSsX5fDpWzIcCJienNFRGJNQttfPHJVDHXGJ2sqlfVG7NDbVWUdQZhOOA6FCYPZE6kBOZ3AGjng2VBXpcBZmTrSbOQkZ4sKEEtlwu2EU8Nc7nMYhb4cDXqpOuDEMQsNmOpNg73VJZMLk8BBpGDSs3296swmNHWYvz3XCGVrXd/GwMTDY05GvJ5xOaioRl2D/Lek8+YqZSoyt83SymbSN+7M1nuGKTMbTc+YtOPY/kkD3FdOazx4Pe4GGHTIM3V/fZkL+nHOQSM1T2SCVLavSifKKIPTyXuDcyXTAdfydUgrEYrG0A75A5ZnTkFF3l9XPfiI19hSz0ZZJzYolgSV7wzk2nNFn4aHxWUQ45t3fsFhqlo43VrDBm73UuZix5TfOWt/GYd3NpKi3jr4k/RePoO6tlPo1e0yOlp6zb5s8L9U4PuvhrvdelRsHfmiugblYii3R3VzBSKzRkCZhuxN0dHc1xs2wzzI446Q7aIdT7MSzM1/vGk6R9uyyqGyrj5secbr0DG/n/OKcL5xh7jwjh5UyAzp7wwcj6WmHaz1J44hziuFSoDCdcJtD7BXt0rpmq2zZ/aA8mEmEtnenbN2wTFrblkj9ok2yY98+eXD3emmrqZDZ7z9zicdbKS2LasXvsktk4Jp0d12XnqHs1u6UJCMjMtJ3Sy5cHzC9sL66BqmuqpHim2Cj8GFrWbM/ZULSO6EMro44jJOdCwsuHfGLw3YZQMGlAjFjSHI2DcXFjB8fxd+llUmT4K1UYebW0MAtGbx+esIYMzrDbI3ntFpskS9vWmbGkWWPE2c4O6dFCQ/3mjA5TkXG7Oa3Dv9kbOk+9bqMdF0yBkg8HDBj4uxwyhm27a6oM9OWMUQv2HfDTLVy68iLMBJeM9/T062ks4gXKgzNr2zGvZRZU+zMMplkbRVsiJiD4xcSDNfVMeBKqbDQ5ZlDdFh3zMW440yytrKGJSaUu1jg2Gw2Lo/2XLHWpGHjNe8lkw+F9S0bMbJhPcmecB4jl8y4c9abLn+FlDOjuttnGryZfJUzjgxcPiIdcNK7T70h4cFOSTBsHc8xdxaUhQobyzQJ253hPNtNvpTUuNNzgjOy9BJsauZhutsnl52EjQ44e9g5zvwcHO3nrrjk1VtOuTU60Q5kZ9sVnLcvkp4P3O0QWVaZkFXVpaFzC87qtTm94q5tl0VrNsum7XtkF5Ofwdne++CDJgna7h3bZNPmLbJu8w7ZjfX7dq2TttryOXDCcR3OSmmoconDnpTh/h4ZGR6QSW1ncBxSKRucnHTPjg2KsYwGu/WzMjfQCedyO3qgNDgu3AdlUmOF02QThaPOifypVJhxfUVVoqSyLmbDyjs6OiTDcMIjdKbNeDLWzXZjPNFZrlm2BX9XWOPvxitstspzypMUHHBCA6EDTvSNA8+NLV0nXzXGQwYeo6p9jVS0rjZJ2GgQ0JnP7Ntx7KemMaCsMW2QMNydRgSvsxDhOPlyPJu5dJDp6DNBmy1rzKCiKEohw7winoq5dZDp5M/FMKC5gj3WwYEO1HeXTKN0ZhYQk8m8ok6ql24yw4/YQ507BGvg6gmTvHRqGMHmNwlCGX0Qwnm6T70miUjQZGZno3jX6ddN9BlD39lwzGztjFBTlOnihnnNxGmZtpurI3aTsfxumSoJGzvTTBK26y5zjlwYlk4HvGPUZjrYCMeEc97wUqDAnHA4BOWNUrfhUXl8/0bZ0FYh5RKRUGBIBgcHTSZze8USWb16lTywug5ucrarMNt4xG4vEy+cN7stKqFgTCKhHAfN7oQyrJTqumZZsaxBfC4HlKxbXE6X+LTRcdbhI2VyBioFvok7NWSywHIThrsw6UPuK+E8g0wuwXHhjGJYVJ6UVdWJOZSp+wsrZc5jSmeZDnk2NUs3St2qHZNC1tjzzR5wjnHjWDTCnutocHjCYlrbs8i08nMO1BEYFMHea2Y/GiecR5XGSOP6/dKwZq/p4WALft/5A+YaCxE2KvjrWuc0VDwT8l6oIfkz4w6Fc4zZ3k5R5gKV56ngFFtMzDaXmHPkma2jkMn0hnNJZSX/cpVXoe7bJzVwwukgj5My9eNo91U41l3WusnY7DZTt5Y3LsMuSTMFabDvpqk7mf+FCVQZPdC8+VFTv7q8ZabOH7h83DpCKXG/ymXplN+pYD4lhn1n7GH2SHcF7846NknYavMnYXvBSsJ2u061YZiX54fskrDGojNUvqVEho8WlhNur5fqmpWyY3OTVMGhTY1ek7MHfyY/+MZfW4nQvi5//9IhOXpzRBIup8ytqeoWh90HQUw7fSYOIrfcVSyWxQ88LI89+TAEyy0+k14bjrjTIc4STER5v2FIDHusnXjMIyiUI3eYXY5jSOhc34mf33TKJRTwFn9KtjfACb/zLkVJpjecGVfDQ93W2jSczoSVOnuls+Gco0PXT1nfpk/Dun0mQyuNA4aecw7VDOw5ad/9UWne9JjpBWAv+42Dz5us6YXaE87rdJfVmsiBuSJ9jhp8KLC20btiuoVotrdTlLlA5XkqXL5KcbrndgosOpXFNs0WHWpGkQ1cOTGhkdrpgl2JupbLhBlImLH73DsSyqmbc7HZndKy9Ukpq29PJ3B77zXrlzSMamvf+WFpWv+QJFGf3jr2M+k4+lPTY1563K9yWTrldz5gErYvrMqfhO0bcMAZlXo7mL+JY8PvdSx6IVJQ1p69vl7Kl8Gx9dnEleqTy8dOyblTl6V7mEnQ0svgtRNy+tw5OXYrZO01V9jS/0E2xsTDOOFY5/BI2ep9snv/Xtm7aZE0eJIy3N0rISjRhLjE5XFKlm5VZgm+B9POgYWv4k494Qn8fodNDF1Bu0kEUYP3yBCXsfddgpgpVOAYM7kLw8QzsIeXoda5Pb3Mcj547T3r250xU5zBYIqM9ErvhQPGqAgP94yF43Fe7PYdz6QzsnvLJRENmnFyTC7Ttv1pE6pXiGOi+VzM1Dtz2ELDZ8fecB27pyhKscC8InOts3kOJmkrKmCgcMhVoPOiGWrFHmoD9Dufl6lvsxp16TD3nkV9OXi7XnAH6tdyk3Ol5+xbJtkppzLLwKSqrdveL9WL1ovd5ZU45wuvbjQ975yyjHVzdr4XRZkKho8vrUiK3TJHekO2Ow4Bzce6moQ82hqTrTlJ2L6fk4TtdjAkncNLMz44s7aXytDRAiqNNimvrpD6llopw6NODl6X67c6pWMgKLGs1o9kaEAGBvqlc8jK8Dyf2D3iqWqVxVt2yY4tG2TjUlxrtEeunzkhhy8NQ5hw3Xikdkits8jqi4UMe8wHojajDEIo7KVRtKeGY7M5Xzed8dtBw4GhcRxPNn1SkkrGZfDqCZOsjQ58di84e9w5TpxheHQ22bvBEHiOj+PUKg72dhSiE8oWH6shYS4xjRWlLoCKopQO0I1znuTK6N/iU4ys+xhaPnzzbN5EaxnooA/fPGPmGGcS1alJjc1UwvqVoegcMpaBdSmTe7r8lcbZMblMmpZJLepWTmXG4WG0tRXlTlBKMg44GYwyOdrMZccLx7vGk8pJwubOm4RtKjh2nNOjcXs65AxLjydLQ44LyAn3SLnfL3WVHhOSGuy5Kv2hURnNo3cTyZTE4/MbtmpzVUllw1JZvnazbNm5SzY32yU5cF0unDwmx4+fktNdUQlzkLFSdDALJIszx7wwLL3UMePO+m6YsWomU/oUxk3/5aPGEZ8JNMbikZAwgzp70TmePJtIYMDMF845TbmMmGnTbqSX/g4zbrwQjS3qJBpKmR79uSCZjEsijHOoF64oSpFAnZ1MTMwJMtuwzsokEy0mWG/EwgFT57GHm/eRDzaMc7aQsd7yKWBeFuZUYRg6607ulw2nIxuCM2/qV9TfrOMz9SsbA9Jh8Vq/KHemH/bwoR6HmQb4YLdTLg/bpzW8MxdmVX+vn9OMOeREn9NkQX/xulOu5UnCNhUcP84Eyr+A436s12HmDj/eVwq5c+B7wGi+bYlct/NJ69Nc0yDLduySbfs2yzJHUDqPfE1ePTYoN/rzXF7bJlm2eY98alONSOiivPKjN+XUxQ4JWD9PwNcgnkX75RNPLZcmZ5eceeeQvP3WaZmouvLRJk1Ltsjjn90sLRKWrkvdEnN4pbqlXsqSQRnuOCbvvP2eXLzRLyF3vbhxjo8/uUJaKpLSf+aAnHjrdTl8+6E9IpXYfs0u+ehji6U8fEne+PFbcvLcDRmxfr7fuFwu8Xg81reZkZk7dab83s6QPNIal1dQ2L5ygFm6x2FozO/i9/W1CSgFh3zrghvbTZ1J+pHWmHxpbdTMdcjwl8+8WD6WXTGbJ9pj8oXV6Qr+L0675fUO14yrKSeelfcun9W9ULNylyx57FesbyKXX/2G3Dz8Y+vb1JjsqovXS+sDT6czcmeHqEElsHX9ve/9JzN+/H7CpG1bP/cVE0ZHhq4clcsv/Yn5PJ+Ut6ySRQ9+StzVLZNC9meLZDQkwZ4rcuXlr0o8NHWvSaEQjcawsIyztORUzqxWJkU0zN1296KrFIXE43EJh9kLOXdyOsYdtnM6neL1Fkdimfa9n5Tq5dvFOYeJ06IjPdJ9/KfSe2ri+Oe5pnHLU9K661nrm8iZ5/9Qes+/a32bJnjPbn+ltGx5nwkXZzRYNnTUGTHG+na+Yd6WzZ/5N9Y3kZ6TL8vNt75lfSt8gsFgnukB565cjpFnO5/PLw5H4XfiPN0WlN/bNu4B/f4Rr3zt7OS6kz3YTf6UrKlOmKnJOkbtMnoXTjhh6HhbeVIavUl5s8tlnOqZwqGoTMi2siopHcH0zEb5aC1LyjefCpied/Jyh0/+9aGJ0wDebw68/D3rE8SoYJ3ww38prx4fhhNu/ZzNvDrhW+CEp8QWT+DfpERHe6TjvTfktZMdMjAclngiKSlvthMekc5jB+Xoa2/L6fHpmPNT4E74pk2b5aGHH7G+zYyTJ0/IL159xfo2fe6HE/5r6yLykaUxo2j+41HvtENkslm7dp08/sT7rG/zx4C9Tq47l1vfpu+EswJh6FrL5sekaf3DE8bbMRxu4OpJufbWd818pPeTXCe8KjkgS+IXzOf5JGL3S5+zVfqlygw5mQvcEpVaGZS62E1xpAozS3w2R44clrfefMP6dn/ZvGWr7N//kPVNUWbO+XNn5aWXXrS+3V9WrFgp73/6A9a3wmbA2ST99noZlblLnFYFq6gu0SXliTtbbrNJt6NFOh3t1re7dMIBx37Xr9ktTRsfMeO1swn1d0j3mbfk+jvft9bMH7lOeD2ecWtiZtFv9wu6Lt/+1t9LT0+Pteb+8olPfkqampqtb4XL6sgJeV/gB9a3qZ1wutt0fJ32lMQ5DTMc59s6i7eB7RVMqGy3pUw4+d2SuZ50OLq1ModcJ/ySe638uOKT5nOh8E9+5SPWp0J2wg/BCT9xP53wZmlYvEUe+fQDssgh4ooNSufVC3L29Bm5eqtHekcicMCtRzfBCQ/KzYMH5fArB+TCnSLmC9wJr6qqkvqGidmyp8vw0NBdKcfbOeHN/qT8KhzmpxfFTGbFb190yw+vTu2Ef2RpVD67KiprqpNypNchv/5KmWnAzOUPHwqarOucp/Cvz7nvSklUVFRKY1Oj9W3+8KEsVD/wMevbDJxwwDlKG9Y9KO07PyScMiwD5+zuPv263Dr6koQH7xTOMbfkOuHhjjMycPCb5vN8YnP5xV67TOq3PiN2M4/67BMZuCkDJ1+S1PAtDia01hYugwOD0tc3cbjB/aK6ulrq6otnHmGl8AiMBKSrq9P6dn8pLy+XpubCN+iJrbxJylfslfLFm601s8/A6VckcvOEpELz64SXr9wnFeuesL7dvRNOqpdslJbNj0vdyh3WmjQMK+86+ap0nnjZWjN/5Drho5fekeH3fmJ9K3Bgy924cf2uIi7ngvb2ReLxFn401qN1/fLbyy5b36Z2wouVXCf8rYEa+Q8XxzuqCoHn//aPrU8F5YSXSfu2PbJ57y5Z7wvL0Onvy0sHb8mV7jwFbF6c8BqpbV8vuz/2sKz2iiS6D8t7J47LkVOdMhjOeWQ+OOFLH5ZPPb5MmvyDcuXdQ3Lg1aNy3fp5SgrcCb8f3M4Jp6P8qRVRszAs5ltwwr96Zmrl8cU1EXl2WcwkhWASiK8c9E1wwpmpcVlFUv7PvSHpGE0f7+WbUzv1hUgjnOjVT/+m9W1mTri3qkHqV++WxXs+ZrLPZoiHA8Yg6Dzxihljdj/JdcL7LhyU08/9V/N5PuH0YQwjXPnEl8RfvyidKX0W4TPvv3xMrrz+TYmNDkFO7yJeS1EUZZ6hbm6Gc0kH010Om2wW4RhozuJx9Y1vycCVYybfyHzCBuql+z9tfbs3J7yqfa20bHnC1LnZDHecN/Vt93uvW2vmj1wnnNOJXnrlr61vSinyoaUx+Q97xnMPlLoT/tJ1l/z2G4U1veHpAy9ZnwoqMduojMIQHQzExG53SEX9Uin3lok7T6cksyrP/TQLQYklBqVvJGHCMOKhQQkERmQ41wEXm9hdTvFVl4kH12SLBCUcDS9oR3quiCXTUyTwb4M3JW0obLebpmBxeVKqUBAHoxw/AnnJ2ZRzwD8Mh78Sx7gWsMvVGSSKUBYWTArEudX7rxyXWHDIWjt7cD5Zjr9nop2F6oAbvZ4zzk5RihVKsn0ByHMsNGJ6c7nMNsxNMnjtpIz23ph3B1xZeKTrIOuLMmPKYUuvqk7Inqb4tJat9Qljx2dnYV9oFJTXMTwSlJ7eIYnbHOKsXyItVdVS53ZMvEhHOgGP3zvXPZYRCUeG5GZXQKLwwitwPbV1beJ3TXxkNrtLfGWV0r64Qbz4LTHcL8OBIZnJpE7K9BiN2eTNTqdxqn3OlHGyV1ZNjvlngS7D75tRwJt8SZPlkRP950KFsb8lLm5Hyvw+VaIHRSF0xHvPvi3B/ltm6pnZghlzzXzsV09aa0qBqRvHJpLezkxX53CI2zWVXp/u8RRlLpi5PDscTnG73bkpnSxKS545laXpqY7CUb59cOW0MZnFg0PSA50bGSmMYS9KoTGzcnk7WGY9qH8c00q8Wlrld7agTf65VVH597tD01r+2ZawPNoWE5d94T7PgnLCE139MnLxptyM2yXubJQ1OzbKmnXtUpE157a9fq2sWL5atreXW2vmjnggKH0nr0hvJCaRskWyZNly2b6mTsaLqF1cNYulaeVW2dXuhmMYkc5r16W38/6Ooy1VmIiBE/afG3TIQMQmLWUp2d442Qln+PknVkSl1gpH6QjazVQLucWc2R+Z5I1J2+4mGZuysKBRyPB8hukP3Thtrb136NgzxDE6Or/jHeeW6TZtp7djdvPqqhqpq6kz3yezgJvKlQJgZvLM7OaVzBNS3zhF1F5pyXM8PCJD10/LzUMvpKeZnAVCg51y48DzcPCvTTm1l7LQmVm5nAo7yqjP60N5bRK/v8xaeztKq/zOFgwBb/QlzdDR6SxVLh12V1ieR7xXBrrPy9uHb8hgNAUHd6ms2f6wvP+jH5OPfOSj8hH8ffaJXbJrZZPU5otTn2VSsRGJ9h6Rg2e6pGskJf7GFbJ251Py7LMfx7Wkr+dD79sv+9e3SrU9KaFbJ+Tc9W65Pji/c5gvFOhEMxfeDy675Awc8RZ/Uj6wOCb/n81hM80Yl48tj8rnVkXMuPEaT1Le6XLKGx3OScnWqCg21yXEbU+Z+Q/ZW64od4KO+Mit89L13i+k7+Jha+3dkYRh2XnyFek+/aYJt+T4x4WIx+2RuupaqYLT4nBoNIpS3LhdbqmpqjbL9HrVih+mFooE+qX33Dty68hLZujOvcDIoM7jL0v/paOSmMXedUXJhXVOGRzv5oYmE2WrQ6LuHnZmvXLTJX973j1pee6K28wTzqLMLOe0yS8MO8z2HGK6UCksJzwVgSK/JTdPHZYDxy/L1cGkOKpaZPGKVbJy1WpZuXyJNJdFJTDSJ1d6xhMLzBmpmCQj3dJx+pAcO3FGznWFJF7WLMtWrpJVK3E9q1bI0tZqKU8NyI0zh+TQkVNyuXNYRmcvUlXJw6l+hzyPAs3ebYabP7MkJp9ZGTXLJ+CEv29RXOq8KXmj02UcdmZGz2VReVIebo2Z8T8ncbyukPaEK9ODYyCHbpw1jjgXOtAz6alhErbhjgvSYZLxvCaBnitpQ3OBYcL/4IDXVFdLRXmF6Q1XlGKF8mwiOiqrpLK8ErLttn5ZGHCIDmfT6Dn7lokWGrh6wuS4mC5shGSkUe/5A6Zxsv/SEYmODi7YHBnK3JNxwGurqsXv85keceXu6Q7Z5K1Op3z/knvC8sJVl5wbtEulO2VsbnJmwC6vdzjlJhz3fFMHLxQKT+JioxLvOSMnDh+V4ydOy5lzF+TCxcty5QqWS+fl3OljcvTcZTndPQ9OOOG4pE444CeOyKGjJ+S9s2flwqVLcvnKFbly+aJcvHBGzrx3TI4dekeOnO2SgZGotaMyVzAz+s9vOuXvznvkNRTi6wG7+Bwp8TvTJbkXiuCnN1zyjXNuefWWyyRzy4bjyZdVJmVTXUK68Nv5oXR4+0KDRg9DB9mDERnJWmA4xUIBSSU0omMqOFaRY7gZfsnp3Ph5tOeaeX65PTfsPY9HRiUy3CuBrsvSf/momZLm1uGfyEjnRUkswIRDGQe8qrJSaiqrbzMWXFEKH+OAO10mmqO6qkq8ntLJNjwTqOuCfTel673XpPPYz6T3wkEZ6bgA57zLNF4y0Vo2bLyMjg6ZPBvDN8+Y8d/M0N13/uB9n5ljtkkl4hILBybWtVhigaEFWQfcbxxwuMt8ftNoxkZg5d4Jwja/AaeakarZC232Rl9KllcmTC84bXJ2kr3blTXWeIFSmM0+KRj/g3C+D/xMfv78d+X73/mWfPc735bv/uCH8tPXj8v5mwMSmeeWk+Rwh3Sdflfeful5+f53eT1cviM/eO7H8vM3jsq5WwGJTjV7vDLrMEkbpx37nXf98m/e8cl/OOKT/3TUa5b/64gX633yNgr4UHSyc81sjCuq0sqAxxjJs81CgInGQgNd0nfhkOl9yCx9Fw5LoPNyOsmOMiV8fjQ4bx78kVx57e/kxsEfminUAt1XJJk1z3c8EoSBeU56zrwt197+nlx5/VvGCefUO6URgp5HGecNH02vo8PCkN1KGD6NdQ15QtBndjxFmV1mJn8ZB5xze1OeKdsTmdnxSgE2UnK4zrU3vyOXoRu7Tv5CBq+9Z5zObEIDHTJw+ah0HH1JLr36DaMfh2+eNY2WpQYbtgMdlybUtVwGrp00s2Mod8F0y1HOdiyzPp9PaqtrTD10e+58PGVqmHvpwea4PNaWboDjkFLa3RwmynxNCx19AkpRk52s7b1+p1nulOV8VVVS1lQnjSP/CyiD4QXqhJuw6Btn5Ma7/yDXYfxklpuHfiQjnRdmLcHOQiA83GsaM6699V25+POv49mOG5GjPVfl/It/Bif9eWOIch7w0iJP+YGRM5n0OobscrxsXe0MkrDd5niKMrvMTP4ySdia4IDnD2ed2fFKCTbkBjovya1jP4Ve/JpppMyG0UB00rtPvWEaNNlbXKqEhxlq/+6EupZLz+k31Am/W6ZbjrK2G0/C1mhC0e/M7Y+n3J5HWuNmKmB2ftEB7w3bTaTqWdjsykJzwl21smjdDnn8Ix+VD3/og/K+nYuksXo+w8ZcYnc0y8oHn5LHPvhR+ciTe+ShDfXCaeS1SN8dbI9kwY7BGc8sdwpIaCtPSjsUQihhkxNw2hlCsxBhMh2GB7KnNnthOHWSxpC29k4bhmGyZ9w8w3BgwrNLJhImFJO/cdzkQh/jWFFWIeVl5SYcUFGKnTJfmVRVVGhSwXyYOiZu6hTqRSajzCatL0dNgy91aCnD+2P4faaezSxcV+r3Xkg4HU6pr60Tj8sNX1ot77mCkaacoYgJk9fVJMSJ6p4dXkzSxmTItNWVheaE2/1SWdciS5jkbdVKWdZagQp0PitOh9jsZVK3aLksZWK3ZW2yqMEvHBWhqmB+WFqRlGUVCTOX+MUhuwxGbMaJVxRlfuD4b5dTx4IppQFl2TUpBF1RlELEDuPP6/FqErY5xu9KyVOLYrKhNiFV7pSZgYizFb18w7kgczBNRelLYSIqydFOuXn5kly6cFEuXWKStyty9cpVudEdkFBkPlsgE5JKBWWo67rcvMrEbpfl8qVLcuHiBblw+ZYMjIakdIOxCgMqhCVwxOl8H+xxltAoPEVRFEVRFEW5f5TBAV9bnZCPLItKgy8lobjNhJ8/f8Ul1wKOSVMGL2SK0wm3QmgDgYAERsMmIdqUzlR0SGI335JXf/g9+YFJpmYt3/u+vPDWNensn/7UQvdOTJLxDjnzyg/lxe9nXct3viPffe4NOXOzTxZ6KqxMaPlc9U7TAa9wi5kW4UiPQ9QLV5S5YLYLlhZU5X6i8qwohcd0y5GW3/mCYejLYGd/eGlU1tYkzKxFt4J2eavLKa/c4pzg1oaKoTid8J6LcuuN78nXvvY1+drf/0zeu9kr8zRhmTLHcLL/S8N2GYjMjWjWeNK94KcGHHJx2KGqVFHmhNlu6daWc+V+ovKsKIXHdMuRlt/5osmflD3NcfnA4ri4LDP+eJ9D3u7UIWj5KNqe8ERWT3gsnlBnqkR48bpL/uiEV354ZW7mDf7WRbf8wTGv/Oiq644J3BRFURRFURRFuTM7G+PyvvaY+Jwp01TBZGxue8oMBX1mSXTC8nBrzORpYo6mhUpxOuFKyXI9YJcT/Q65MjI3osmpzI72Osx5FEVRFEVRFEW5NxaXJ2VLXUJWVI73cDErOsPS6XR/asXEhYnbVlUlTAj7QkU9EUVRFEVRFEVRFOWuaPYnpdabMtOohxM2s7CXu60sJZvqkpOWNdVJacQ+dtvCjWVWJ1xRiplc3VVi815OmsdTx50UIHleSt455qf78mb7eIoyE2Zb/mb7eMp9o9R67CbZC0Umg9MtR3m3my6zfbzCghIwW2LdH7GZKNZzg9NbGJHKzOmp1OwVrGIrouqEK0oRk+J/yfFp9mx2h9gdczOefr6x2e1id7rHHPFUMgllrQP5C4881V7exqDpVo+zfTxFmQmzLX+zfTxl3kB9k12/sm61OUojwZSxFZzj92Lq12SROZfTLUd5t5sus328+wvbD7LzITFc3GWfnfd+ZcQhf37KI//ktbJpLf/2oE9euDZ7GdMZ1u5xpHviCcV5rmZami3UCVeUIiYRDUs00J/WrMBX0yT+ujbzudhx+SqlsmWlMRZIPDIqseCQ+awoiqIocwmnws2uc/z17eKrbrS+FTeeilopb1xmfROJhUYkHg5Y35RSJRgX6QrZxzrzOW3vyqrZ8YLp3I/EbNIXnt7CmYpMT7i1/71S603KtoaEOC0nfChqM73zhYw64YpSxMTCIxLovjbWQ1zRskrqV++SsvpFYne6irLFlk63p7JOqpdslIa1e8d69iMjfRIc6DSfFUVRFGUuiQYGJdh3y/omUr14g9St2C7+2larR7wI61eHQ7zVTVKzbCvu5QFrrUh4sEvCwz3WN6VU4fS/ZwccknG7t9bH5anFMVldnUj3Ilvriwk63a1lSdnbnJAPLomJG/dBOoN2uTKc7sQpVGwpYH3Oy7qdT1qfFEUpNDwVdVK7fKss3vMxcXrLjAMbGuyU/otH4JxflmQsCgd9ttoZ5wc7jBsaCVWL1knNkk1mXSIWkd5zb0vniVdkpOOiWVeouMuqZevnviLu8hrzvf/yMTn1/f9sPisiLY3NUl1ZJQ4Yg9kkkkkJjAbk+q0b1hpFKXwaauulrrZOnDnynIQ8h8JhuXrzmvmsCOqpZ2Xx3o9b30RO/eAPpP/SEetb4eGraZb61bulfcczYnd5hUOjRruvSv+V4zLac1WSiZjMWjfePMH61V/XLtVLNkhl62qzjhF1nSdelu7Tr+O+rpt1pYrX45HFbYvF5XSa95lNLB6Xzp4uGRou3Yg7Jk97rC0uv7khLNWelAnhvjpil1duueRkn0PCibHAyqKB85EvrkjKrqa47GuOm3XsYWeo+7cvus085YXE6QMvWZ/UCVeUoodhZSse/5JUtKxMO+K2Ugpw4Zj3JAyDa3Lz0AvSc/Zta33hok44YbWSv0397pzwqY+nKHPP1PJ3d074wpTnYnPCSXnjUln28C9JedNSccARL8bosimB+Z9MxiXQdUWuvfVdGbz2nvVDsTDdcjS+3ew44cVdflvgiP//todkS31Cqtypkpqnm28mAXV7dtAhXz3jkR/BES80sp1wDUdXlCKHY7lYgQ5dPy3x8Ki1tjRIJRISGuiUW0dfkqEbZ6y1SuEz27V6CVkJShGi8rxQCQ12mfp1pPOSxKMha21pkIhHJdh7Q24c+KEEuq9aa4uJ6ZYjLb/ZcJz0H530yoFupxk3XUpwXDoztH/jvFsO9BR+EkV1whWlyEkm4hLs70BF+hyW56X/8lGJDPfCgY3Di2W7YHHBnm82LIx0XJCOEy/LpVf+RgavnjDrlNIgCbmMx+OTlkRiPBOxohQL1FmT5BmynKAOVoqaZCwigZ5rcvWNb8nNwz+WwWsnTTLU7KzpxQRlNTo6aBq1O46+ZOrX4VvnJBENWlssDFg+c8tsAgufT6kTTdrk8rBd/vSUR/78tEdeveWUW6N2k6W8+CxGMRnQ2bDAsPNvXnDL/3XEJ290uGSgwJOyEQ1HV5QSwlNZb7Kje/F3PDS9yFo6oZISsRAMhSEzvp1j1IrJ4NFw9NtTXlYuHrfb+jYOq6JoLGZC0hWlWPD7/OLzeq1v41CeadiPQJ7vYGYtGIoxHD0bX02L+GpbzBAwp6dIh36lkqZHPxIYkNBAh+kJX0g4HU6pqqy0vk2Ew0aCoaBEolFrTenTVpaU5ZVJk9iMY8TttuJLzsapyEbjNukN2c349nODDokXsMrVMeGKoihzhDrhiqIokyl2J1xRFOVe0THhiqIoiqIoiqIoinIfUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5gl1whVFURRFURRFURRlnlAnXFEURVEURVEURVHmCXXCFUVRFEVRFEVRFGWeUCdcURRFURRFURRFUeYJdcIVRVEURVEURVEUZZ5QJ1xRFEVRFEVRFEVR5glbClif87Ju55PWJ0VRChlPZb3469rEW1EvTl+Z2GxsY7OlfywWoI4SsZBER4ckNNgpoz3XJZVMWD8WB+6yatn6ua+Iu7zGfO+/fExOff8/m8+KSJnPLx6PB/I5UTZZFUVjMQmMBqw1pY/D5ZWyhkXirWoUl78S3z1YW2RlVlKSTMQlHh6V8FC3BPtuovwOWr+VPj6vV7wer9jtE/s0KM/xeFxGIM93MLMWDIv3PCuL937c+iZy6gd/IP2XjljfigNfTYv4alvEU1ErTk+mni0yUkmJR0MSCQxIaKBDgr03rB9KH4fDIRVl5SivDrw7a6VFMpmUYCgokWjUWlP6tJUlZXllUlrxt9qTErstVXQ1UBLqdTRuk96QXa6O2OXcoEPiBaxyTx94yfqkTriiFDeoRewOl/hhFFQtWo9lnZTVtRtH0IZKZlItU+CkUAnGIzDmB7tkpOuy9F88AqP+usRCMGSLxBlXJ/z2NNU3SGUFHE7KZxYJvPvR4Kjc6uqw1pQuNofTyEl541KpXbFNyhsWw6ivh1Hvw49FZtTDhEjGo8bxDvRck8GrJ2X45jkJD3djfczaqHSpq6mVmqoaccK4zyaJ5xIOh+RG5y1j3CvF64TT0ba7PKaerV66WaraVuNzq7j8Vel6tshgPRsLDcMB75SRjgt4B0cl2H9LEtGg+a2U8bg90taMd+d04r1OtI/YaNbd1yPDgRFrTWnC2/bYU7IMzvfuprjsbIzLqqqkNPiS4kT1U2xOeAJe7FDUJjcCdjnR55BXbrnkPBzxQayLF6A4ZzvhRdiEpyhKBjuMeRoG7Ts/jOVDUrtsq+kRp5FfbA44sdnt4vJVSEXLSmnZ9Jgsf/TzUr1kk1mnFCp52nHztu2m17EHwgn5dMIIyl3YSzHT4xUjdMDrV+2SpQ99RprWPyRlDUvE6S1jAbC2KCLYEAgHxVvdhHvaaRytlq3vM737xaiDZip/dryzfLJMp9xBPbwA5LnUoXyzoWzJvk9J2wNPS/XijeIury1KB5ywnqUOqmpfi7L6pKlnK1tXi8Ptt7YoEqZbjrK2o0rKW16xOLDw2Uzk9scrRtyWA/7r6yPya+si8khr3PSEu4rQAScOXHStJyWb6xLy6ZVR+VfbQrKvJSY1WFfoqBOuKEUMnVP2LLAH3BjxJYQNRqyvpllaYSTQWFAKlTzVdl7na7rV+2wfr/CoX7lDmjY8JN7KemtN6eAqq5La5VulddtTeG3FaGLMtvzN9vGU+cZX3WTq2Yrm5eJ0+6y1pYHD6RZ/fbu07/yglDcusdYWCdMtR3m3my6zfbz7Dx3W39oYNj3gVe7iblDIhT35SyuS8rlVUdnZELfWFi4ajq4oRYqnos4Yu4v3fMw44GyV5zhqhnAHui9LMhaVYhuLyJ599qixUaFmySazLhGLSO+5t6XzxCsy0nHRrCtkNBz99rQ0Nkt1ZZXV6z0Ow9E5Hvz6rRIenwjjrap9nbQ98H6pXrxB7DCA2avSe+GACeGOjPQXzbCLDOw54tjY8qZlUr9qhwnRTSXiRhdde/v7MnjtlMTDpTvOv6G2Xupq6yaHo0OeQ+GwXL15TcPRLYoxHJ0NwfWrd0v7jmfE7vKiCNtktPuq9F85LqM9VyWZiOXtLC1kTARdXbtUL9lgesBJIhpGHfuydJ9+3eRiKVW8Ho8sblucNxw9Fo9LZ0+XDA0PWWtKj2Z/Uh5ri8tvbgibMeDsReY4aoZwn+xzSBjVT7F19LMHfzEc711NcdnXnHa8Q3GbvHDNJd++6JbjuK9CQseEK0oJUNG6Utq3f9A44nTAOaar/+Jh6TnzljGAmSyp2LQp78NdzjC5ddK0fr8xEBhaH+i+Il3vvSYdR8eVV6GiTvjtWchOOHuGF+19VhrW7DW9a/FI0DjfNH4DXZckFhopujGZNGTtbi/up1maNz1qGs84JIaJ2vovHzWOOHM8lCrqhE+fYnTCOcSLUR3VSzaa76yL+s4fkL4LhyQ01C2pBBvNiqyehawyB0XN0s3SuHavGf5FqIs6jv/M2BClykJ3wrfWJ+RX10bkkbaYccAvDdvl5zdd8qOrLuOMRxO2ohsY48R9NPqTsqMxIc8ui8q2+rhxzE8POOR7l9zyjfNua8vCQMeEK0oJ4PJWSHnjYmPYk5GO89J77l0Z7b2eTohUbM2ZgL2AkeE+k9yJhoDpZQDs9ffXNJvPilLMlNcvFrev0nyOBYeNAz5884yZEaAYkyKxHT8RCUmg67J0n35DRvvSjSgcR1vRvMJkgFeUYoWNwv66VuubyOC196Tv4iHT6M2Ij2JzwAkbDtgwNnD5KO7lsLUWDmp1k3grG6xvSilS40nKmprEmPN3tNcpL15zmYzikSJ0wAkzod8atctbnQ754VWXaUgg7PVfWlnYkWXqhCtKkeJwe01yGHjh5ntooMtMD1QKMHPrcMeFsdBchrsyzFUpFma7Ki9G0yAPKKqMkGDZJYloSIaun5J4NGy+FzuBrisSDQyYz0zAxzHvdieTkxU7Ks8LFafHP6Hu4XReocFu61txw+EvHLqWgTlmnN5y61sxMN1ypOU3gx/quMmXzJiNpvf7wlBxuYK8dvZ0+50p8To4rVp6fX/YLkd6xqcn43h3jn8vZNQJV5Qixcb/srKz0mHN9BwXO+wR5LRHmdEyHHdanEmeFipWrThrzPbx7h8m+65lAZleZMh5MUat5IMROGNj2nGPZpaGknh3Ks8LFtQ72fUs69h0D3jxY2yG+Pi9mHo249EUBdO9Vi2/GVj1MHlZBk7hFUsW1/2Uw/neUBuXjy+PyuNtMTja6QgyTlVmevOt6pSizJD7QkatWkUpVnKVS4kY8hkmpasornpCUaYgR5BLqtziXkpLDSnKREpNvifpH61oFxJ8+4Us0vXepBnj/dFlUfknm8Ly+3uD8h8fDMr/ujUszy6LyZb6pJS7rI1BsRVPdcIVRVEURVEURVGUu8bjSElbWVL2NsflI0tjxnn+zMqofGF1ZGz5xPKoPNYWk421CRMaP1XwBcPNH2hIyCdWRM0+H1wSkyfa47K/JW4SzHFu80gi3QNerKgTrhQUi8qTsgkFk/P8zQWrqxOyozEuyys1W62iKIqiKIqi3A0M9y53pWQJbPY9TXHjJNNZ/jQc5y+tjcivrI3Kr66LyK+vH1++jO+cx/tjcKyfXhwz+9E2z52znGHzPHZbGcPPk9IG/4BOfoYYzPizg3YJxIo3ekOdcKWgeGpRTH5rU1g+uHRuxjazRe7fbA+blrXscTGKotwteZqh84ZYT7e5eraPpygzYbblb7aPpyiKYbrlKO9202W2j1c60Iau9SZNjzbHZ//73SETLv5PN4flSdjya+BYr6pKmJ7xOm9qbGEnG3vKaY//861h+XfYj9OmbWuIm7nLfc6UGRQxHLXJq7dc8sJVl/mc+9g5lv38kEOCRZyiQd0QpaBgeAl7qTmNwlxR4UrJ4vKkrKhM6OgnRbln8pSiTOrVCUy3tM328RRlJsy2/M328RRFMUy3HOXdbrrM9vFKB9rQv7w6Kr//YFA+C4e6wTdzu5096Rz3zR70f7ktLL+zIyTPLI6Jy+rxXoZz0Dmvwza5YesMQ+8Np+c2L1bUCVcKChZITj0wVxkN3+x0yvWAXVr8SRTsRF79qtwdzF7OKU5qlm6S5k2PSs2yLdYviqIoiqLcK8zU7i6rlroVD0jz5selsm2N9YuizD20zTntF53uf7QxYsLJ+b3MlTK/BeM2M+f49y+75L+d8Mq/O+iT333XJ//bW375p6/75X/H5z95zyMvXHPJ4R6nXBmxGzOcvd+tsMt3Ncblc3Dsf3dHWH5jQ8T0ljNcPdcB7w/b5EivEw543liFokGdcGVBcXHIIX0RmwmJWVejPeGzha+mWVofeFrad31YWra8T+pW7hB/XZv16zh00ivbVou3qlHszqyUloqiKIqiTEl541Jp2/4Bad/5IWne8oTULt8mvupG69dxPBW1UtGyEn/rJ0yvpij3AjvImuEoczjnh5dFZTecY0avJuEFj8Rs8mM41n95xiNfPeuW71x0yw+vuuTF6+nlZzed8spNl/wUn5/D+m9dcMvfnHPLV7H918965OKw3RyH4egMYX+8PSYfXhI1TnmDL2WmUusI2s0xD8F5H4jYpSdkM/sUM+qEKwuKATjg3SjILLdLypNS7U633pU6nK/XV90kZfWLpKxh8YTFXV4Dh9htbTkZ9nA7veXiq22dtC8Xl7/SONVNGx+R+lU7pXrxRuOUO1we6whp7E6P2b5pw8NSs3SzOWap4HB5YfDU4f6WwPhZYc2PnMblLTMND3z27MG43bNeyCTicYlGo9Y35U7YHS5TzvKWacoZfp8KzgfM8uevbZu0LxeXr3TK5v0ikUxKJBqxvi1M6ACy4dWPuoN60VNZb/2Shg215U3LxIu6yenxs7KxfikOWDd6qxrEX98+qQzREbbn1IETseGey9JlOGdfLqyXc/E3LDL1Z92qHVK9aD3OXT+pPmFdVNG8QhrX70NdvH5SPaxMDeufRCJhfVNy4fjvB5vj8umVUVlfkzBJ00bhfHNc9s9uuIwz/Vdn3PKDy27TS30jYDc2Nx30UDztMPPz5WGHvNvtlJ/AIf/uJbf8+WmP/AQO/PF+p3Gs2evNYaPLKtNjycMJm1wLOORFbMNzsJf9SK9DnfCiAErS5vSKr6xcysrLpTxrKfM6xTGvHhjOZXOK21cm/pxrKS/zidvp0J7ZGcBnxdfH1jlOZVCGhX+9jpRZl+9ZDkVtcrzPYUJg2KK3pT5uwmhKHVbMrLhbH3i/tO/88ISlZukWY7RPBXusK5qXS8vmxyft27r1KRgMSyQRDUqw95r0XzomsdCItedEaDBUL9kkDat3S+2yzcY4K2pgMNLZpiFV1rjY3Nei3R+RJfs+lTYoLfx17bL80S+YHgz2XPhrW8Th9pV4D8XMylQSDstoKCiDI0PWmlxKv4zOFKe3TOrX7JbW7U9PKpcsZ66yKmvLybBBrLJllbRsfd+kfVu2PmlkVslm5vIcCodkYGhQUgswCRudUzp/XjjdVYvWScuWJ2Tp/s9C708cosRw6iUPfkKa1j9kem7d/irjVHL/YsDmcJhhV6wHc8tR7Yrt4q2os7acDBvCyhqXwKl+ZNK+rdueQvlcaW05TjwUkED3ZRm4fFwSsfwNPD7UL7ym+lW7UbdvNHV/6TLdcnT77VhG6XwPDA9IOBK21t6O0i6/+WC4OGcuogPOacVoY9OxPjNol78+55avHPDJMdjWXDcTOK67H4763533mJ7xo33jHRgZ6Mi/0emUPzrpkZP9DtOb/ldnPHIAjnw8WdxeU+k74Z4acS9+TJ7+9Bfkc1/6snzRWn75C5+XTzy2Qtrr51NBucXhbJfNH/iUPPv58Wv54he/JF/87BOyaXGjjJvuyp0wY0jKkrK+Ni4fWhKTT0I5fGhpTPa1xGUD1vH3fJwfsptpDRj28skV6fEsJU8qKbHRIdPrULdi24SlacN+ONKLrA0nQ4exEduwlzt333hkVGLBIQl0XZFLr35D+i4egqGQ3wmvXrxB6lfvwj5BuXHwRxIe6rZ+KU5oZJY3LIbT/UlZ+cSXpR0OOI1MRhxkO9jcrgxOTR2e39L9n5YVj38JDvnTJnqgdB3xmVWMdFb6Bvtv0xNe3BXtXJBKJiQWGDTGem65bNrwkGnsmQo2gDVvesQ0zOXuy/I8VUPawmVm8jccGJHe/j5j0Od3wktbntmL27D2QVn+2C9DN/6KNBone7k4cxpePeW1UtW+Dk7nk7LqyV+T5Y9+XqqXbMR2RRKJgXcbCw6bHv3cctS47kHT+z8V1P0Na3aZOjF3X5btSGDA2nKcwWsn5err35aBK3TC8zuLdSu3m0a4yEivXH/nuRIvy9MtR7ffLhaPy82uDgkERiWOz3dm4dVHTy2Km6nFVlYlxsZnv3TDKf/lmNeEoTNc/F4YjNrMU63M0ylW6U6HqGf6TANw9NnLfmHIIfEiN99L3wlni6rpCS+T8nK/+P1e8XjcWDzicjogTPdSmJxGkdonN9xMAc/lEJvTLS43r8ErXp9/Qk946b+Q2aHRlzRzEX5lZ0j+xdawfH51RD61IiqfXxWR/wmK4stro/LRZVGTBT2Xm6N2OdXvNONL2vG7O2vewVIlGY/JaO91YzDQJmRvQ2ZhOCvHmjGcOheGtHpgUFU2rzRh59n7cQl0XTbOdDIRl3h4VJKxSF6jk70hTCCThOHQeeJlCfbewOfiDT1mCCKNzGWPfB5G0wNj4ZR8JpMca6vHnM44ey/9eN6N6/bJ8kc+B6d9a/FHBNwDlJXegX7TA04HPL/DouQjGY9KoOcqjOyA+Z5dLhnOyjKdL6SVkS1mzGjrKnF5yyfsx2Wk46JEhvusrZWZwgYlLlM74KWLHXqusnW1LNr9UdOby95tDntwuL2mLsnt4WZvMOWRDb2usmrUE+tl8Z5npXXrk0aGC50UIx76b0l0lBEPyQnliEM9yhuXibeywdp6HNYH7rIqKW9aPjYcLHthXc3j5sJ6nA3f/JvbGctnWbt8q3nm0UC/dJ9+Q0KDXZJMFvH8TfMAI1Z6+ntlNDgqiaSGoueDidEebo3BEU73gJPvXHLL9y+75exguvf7XjXd420x+QBsek5rlgujWzl89KnFMZNJnWqVzjfnCS92FpbPFx+W7qtn5cibb8hbb78th8/2yEBghvNR2+B4e+qkftkGWb99l2zduFSWTh1xlEMczkq/3Dx5UI6+84a8eeiUnLgyKAwqWlhV9b3BaRDe1x43Tvb2xriZ0owZGUeiNnHB/1lSkZSdWP+RpTF5BoV6bc3EQk2FcWvUJtdG7NKAAr0SiqWmxHvDU6iI6SwP3TgDA7vHWpuGBhAdw3whqAxTp2FEBzzbuWQo3MDlYxLsuymJ6NThW9yHzj170dlDPNpzXXrPH5B4NGiMlmKEDjjDypvW74fBuSptRGWNAb8TJkyzqlGqFq834Zj8S4NsocEeBzorQ8NDEolETAivMn1oiIcHUaavn5LISL+1Ng0bhDhMxF/Taq0Zh+Wxqn2tccCzyzQjVPovHobx3zFlL5syNZTfQcgylzAM+4Umz6xHypuXQ6c9lh52U9c2YVjOnbDZUH/7KkzjUf2qXaaRk8eY1KhZQLCRJTzcJ8M3z5lykw0bHkweFdxPLix77K1mA3d23cEe8MFr75l6kuVxurCBw1vVZJ6ZG3X1SOdFGbh01DTUGY9FyUswFDLldSQwYsLRtRE4P7SnmciYwz05Pvtwj0Neuu6SU/2co/teOjLTEa0Pt8ZNFOsD9el5wulcc5z5tYBdAjGb6QHn+ifgqK+pTprx4qXCwnLCEyPSc/28HIMD/s4778qRcz0yOB0n3OYQp69SKhtapXXpKlm5ZqNs2LZTduzZI9s2LJElM3DCU8kBuXXqsBx7F9dw5IycvDqsTvgM2dmYgHMdlU11CTNH4E9vpJM7cGFYDBM2MFnD+tqEPLUoZrb35PR292G/c4N2k1iCCoZh7aUMK5d4JASDnRX81UmOMx1kf/3kbOZMpFO74oFJhlACBgJ7tCOBicZ/LmzVpxPPJZmIyfCtc3AY+kzvAHvgmZSmaJJAwUikYWXGta/ZY3oc7gUaTpzOrRGGU0XzSvOsFgoM/xsZDUjfQL/pMVQHfOawEYuG+uDVkxLsvT5pjKivpsWMD82FURtm+sCcKDAOI+k49lOJBqcal69MRSIRl0Bw1Mgze9aYlG0hQV1GeWtct9/MjHGvjYqU2/rVO42e5bEK1xFPoS4NoV47K4GuS+ZzNqw/yxuXWN/GcfmrpGH1HtNwkQ2d8J7Tb0h4oNNaMz0YYVWzZKMJ7We0G6NZGIbOd8J6dizxnTIG6x064MMjI9MMQV94OOEhcvw3bekGb0qiUGvswKKtfXrAYRzke6HCnZItsOM5DRnt8EwStisjDnn+isskYmP+JsKI1Y3YlnOGN/lLR78uLCd8pmSSulXUSN3idbJ652Py6AeekY99YK/sWtUizeUecd+bDCozgI+aoTAfXhqV1dVJ0/N9qNth5iD81kW3Wf7slEf+9JTXTGHArI1MvraiEgrEN9EJ7wpZcwwmbbIZBZth6QshS3pooMsKIe+y1qRhby5b0rOnDTO92JV1prc32whKweCkoT5447QJQc+FzjZb4Bmqx56NxrV7jAEQ6Lwso703pKJpmTRtfNgkKuN84gxTN8bIPQ0NmXv4DBhiyFDye3XAs2GvEcfxsYe9OMnThJi3RyG9LgnnMQAHnGNmI3lDdmd2vIVOaKDDJGvKjXBhyDllakKZdjhNAxizJ2fD4SSR0UEZvHZqkiOx8JiZ/CXxG3vUuvt6pugBn9nxihFXWaXJxE19zkif2YByyuku2bue66wWGpGhXpMXJZgTQs5eaV9tc7qB1arfWI+wYaFq0doJDa8mx0MoIEO3zksiETXbMBIts7Cxenz7lKljTU83PrOebli3F8e2y9CNs2Y4CYcFMCqhbccHTY4IlvmSS9I23XKUtR0/ste7d6BPhgPDEmNof4a7OF4pw17qh1rjZlgnPw9G7GZub3Z29YXvzV5jx9iGmoR8cU1UHmyOSRUcco4rvx6wm+MzSdvXznrM+SIJMfY58zdtq0/IovLSef7qhN8Od6W42h+UJ579hHzkqQdl39o2aSlzikDxxeNQggujHBYMXigBJlxjr7UPBfjUgMM43tmvgaHm7OH+45Me6Q6le7pXVydke0N8QiqNMLbjmHCG09BR53QLpd4bTuLhgIzACQ90X7XWpHHCyCmrazPTnmQcbjN9TJ5QumD/Tek4+pKksiuvLNgK33/pqMRg1DMLOse9MVyP41fp0K955rfSc4mv2gmj7XFZvOdjZvxgofcEO5wek6COGX9nm/KmpWY8X3GSpzLO26CSXseeB/ZARJkT4DbbTWC62y1AaLizzDGENRsHQ9LrF0lV2xprjeA7p1KanIRxtPuKdJ14GbpUK7WZyl8gGJD+oQEzpCL/05vZ8YqRCuj4Guj62YZ1AnvXC72BkuO0Wb+xHGbDBgn2RnNKTtYfxFvdiHpwciNuZLhXbhx83mRAb9v+jGz85L+WrZ//t2PLiid+1SStI2zgHrp+2tSzyXhcapZsQn29CN+PmHHgzFOy6v2/Ls0bHzUNvBxjv2jPs6i/HjL7lwx3UX+w17unr1dGR4OTe8Dv4nilDMPP97ekQ8RJd8gmB7qZDO3e739vc0I+vzo91zh73MnFYYf8w5W0Ax5J2Eyytne6HPJW1/iQDQ435bjwUkGd8Nthw4t3pac2c9vCMnDzlBx54+fy3PPvwNELy2jp+2wFBceBUCEweyJ1YG/YJmfgiGdDVZEOZ2HmRLuZk5AhLkwokQ23G0YBf73DaRzydjjgC8EJZ69jutX+soQGOvHdumc8UIas1a3aNeaEsweCCdVy4fjTgSsnJJmTxIQ95OwJ6Dz5ivSee8e0ytPJZi9b38XDphWeoYrsmes585bcPPgjCcD4Zys+z2XP6m0vNBiGznB9hvvlZvidDTyVDWbKKIbnZ0cdlCKcO5kOuI6/mx1YhpnvgWUpDAM8A8fY+upazVRJGdg7xiWXMByAwavv8WDWGmW6xGKxtAO+QJ8dIy6ov8vqZz+RGiM32HDLkO5CTmDJdx8dGTD1KhupWecZUAaZAZ7RUw5PuheaDWOcFjSXaGhY+i8cMvkYGDnG6dry9YRz2AmHlN06+pL0XzyC3yqlfs0e0xjXc/Zt4+RXw+lnfdz13qty48APoR96zJCzYkh2N9cwEms0pEnY7gQd3V2NcTPsk9P/ku6gHU6xE8/OfL1r3tcek2eXRWVbfdz0iNOlZ3g75xfnfOEMc+cZ2dHJDOjsDR+MYB2+13qSxhFvKZGQ9MJ0wm0OsVe0S+uarbJl94Py4L79so/L3p2ydcMyaW1bIvWLNsmOffvkwd3rpa2mQuakDy0ZkWTgulw48rYcfBvL4WNy8tR5uXi5SwYi8aJPjV9ssLWs2Z+eA7wTyuDqiMM42bmw4NIRvzhsN/MLUoGYMSQ5m4ZQT3L8+Cj+Lq1MmgRvC4FYeMRkXx3pOI+HNX7PLm+Z6ZFl0jB/fbtUNKY/Z8NEbAx3YzbYXIPdjFENB0xWV85DbOZ9ragz05YZ46Tvhpli5daRF2EcvGa+pxNA2WCrFHZ7IMfcMUM8jaGZJGGbLplkbZyPfS6OX0gwXFfHgM8u0SDKNHviui5Za9K4fJVmLuJ0DoZ2M0Vhbq/iaM81E6miY8HvjoUuzxyi469tnZMxx5lkbUwyyPHVhQzzM7BOG75xxgoTT8MG3PJmlrumsegyJmzLho1nQ9dOmWnJGJbOY3Se+LncOvyTsYUN15xVJB22PmLO5fJX4NgrTCQbG75ZlrnNwOUjJlqt+9QbOHanJHg9eJZ8ngsdNphoErY744UZ0uRLSY07aWxvRpZegk3NPEx3++Syk7DRAWcPO8eZn4Oj/dwVl7x6yym3Rifaguxsu4Lz9kXsQi3rdogsq0zIqurS0LkFZ/lyDLa7tl0Wrdksm7bvkV1798leONt7H3xQ9u7ZK7t3bJNNm7fIus07ZDfW79u1Ttpqy+fGCY8HJTF4Xk4dfEsOHTwip85fl+7BsBEE5f5CJ5zL7eiB0uC4cB+USY0VTpNNFI76pWGHUSrMuL6iKlFSWRenwmRVHuqR4VvnUZkPm0qdmGlT/FVmbB/nu6Yjnju+j/sMXj1ufcsPx+9Vta+RitbVJgkbDYEojIuRjgvSAQecyZ8YvpdxDjiunMZD5joKEWazLW9ZMacOMh19JmizOcbH8CrKdKDRzzDUkVsXJBYOjJUlyiszMDOMtWbZVjN3eO6wj6Ebp02GdUW5G+hYeirm1kGmkz8Xw4BmE+ZCYZQYZyCJjg6M9YYzson1B2ckYL3Kei+3XuXwsL4Lh6xvYpIt0vG+ceC5saX71OvG8U5jM40eTBLKCATmheg+9ZpJmDp07T2zb9fp1801VLSmG4/ZcJ47Zl1RpsIN85qJ0zLtNldH7CZj+d0yVRI2dqaZJGzXXeYcuTAsnQ54x6htbAgwx4Rz3vBSoMCccLs4yxulbsOj8vj+jbKhrULKJSKhwJAMDg6aTOb2iiWyevUqeWB1nTC4Z07b9WDIpEIBCcWS9zwRvXLv8F0zOQOVAsvinRoyWWC5CcNdmPQhV1YYycDkEhwXzrHki8qTsqo6MbcyVSDQ8WX46kjnxIyudKAb1u41GdHpIGdDQ5894UyudjvMvONNy8QBY3/k1jkJ9l4zPd4Mo4vhvMyk27h+vzSs2Wt6N9hy33f+wHgIXwHC5+Kva53TUPFMyHshh+VPnzsUzjFme7uFC8eSskwHOi+aspaB8zQ3bdiPMr3NTE+WDef1Z3lW4/xOqDxPhaeqwSRmm0vMOfyFP40jZx2hQx1AvcqosAw2u9OMza7F4q+ZOGMBG8VDg52m7GaIo06OBocnLHTyM9jsNlPHch5ySSVluOOCqZtZh3Jf9sozgqB586OmnmWUG6PRBi7fvgG9+Lhf5bJ0yu9UMJ8Sw74z9jB7pLuCd2cdmyRstfmTsL1gJWG7XafacJRTltklYY1FZ6h8S4kMHy0sJ9xeL9U1K2XH5iapcjkkNXpNzh78mfzgG38tf/uNb2D5uvz9S4fk6M0RSbicUtojJ5VcGBLDHmsnyuEICuXIHWaX4xgSOtd34uc3nXIJBbzFn5LtDXDC707PFBXp3vBeGbhy3Iwly8Ces/KGJaZyd+VMM9N/+SgM9mvWt6lpWLfPjDulUcDQc54rA3tN2nd/VJo3PWZ65LpPv2GS0dARKOSecF6ru6wWsjF3KjN9jhp8KLC20btiuoVotrdbuDDklGPDmaxpQsMa5KoM5ZllOjefAYeKcPiIcidUnqeCQx6c7rmd/ooOZTFMsZXpDedc32bIlgXzo5TVtZsy6C6vtdamGbz+3qSEbneCTn3L1ifNEBNGmHW/95r1SxoOBWvf+WFpWv+QMHfLrWM/k46jPzU95qXF/SqXpVN+5wMmYfvCqvxJ2L4BB5xRqbeD+Zs4Nvxex6IXIgVl7dnr66V82WJZ7LOJK9Unl4+dknOnLkv3cEBGR9PL4LUTcvrcOTl2a6FPo7LwYDE104hhYTvknXrCE/h9Ou2VXUG7SQRR40maEJeFoV5TpheMreMMBecYMwPHjcERpzOe63DSuOe2U8HtaSxFRnql98IBM0YtPNxjxooTzondvuMZE5LH3rlENAins8oklWnb/rR4K+rmNNz7XmAPuAkhnMMWGj4/9obruD3lroBCjEdCMtLJTOnXxnviIE8sV/nKNENg2VimKHcLE23Otd7mOVgvFQNMiDbafQ3LVTji43kWxurVnEZWjgWnIz1dTHi7r9w0nvWcfcskPaXjn6F+9S5p3fZ+M9OJ3eWVOOcLr26UxvX7zJRlrKNzr0FRcmH4+NKKpNgtc6Q3ZLvjENB8rKtJyKOtMdmak4Tt+zlJ2G4HQ9I5vDTjgzNre6kMHS2gkmiT8uoKqW+plTI86uTgdbl+q1M6BoISy2r9SIYGZGCgXzqHxsPtFOVeYI/5QNRmlEEIhb00ivadSSXjpuds+NY5M3Z7KhiGzm2CvddNGPvUpMwxB6+eMOPX2BuQ3QvOqVo4Tpzj0+hosmeD2Vo5NRenVOGUSnQYChK2+FiNCXOJabBYKAKozDp0AMKDKNM3z5o8DFPB4SEcuzrad8OErirKXQPdOOdJroz+LQ7FyGcRRn060nkB9ev4bAW5cJqxTIPZWCP4tEg3oNP5Zj3LUPTsUHXWqUzw6fJXGofH5DNpWmaGmHEqM0bG0N5WlNtBCck44GQwyuRoM5cbLxxv5mSamITNnTcJ21Rw7DinR+P2dMgZlh5PloYMF5AT7pFyv1/qKj0mLDXYc1X6Q6MymkfvJpIpicdLY1C+cv9hFkgWZ455YVj6QoHGAnvOAl2XTKs6x7Plg6GtzGYeCYyH1+Vj/HhXTHgdpz3KhplfmYWZc5ly4Xh0jgc3S39HOlN6gRpa1El0VsamdJsDksm4JMI4h3rhyl1iZiiAnLL8cQrC7LHh2XD8eOeJlyUWnInxryiTod5OJsazgc8FlOPsjOOFTcrUmRwbzobr7KEh2bDBuvfsOxIa6rbWTA8678ytwt5z1qG5jW1Mujp080y6nr181Iw1z9SzoYGudKZ0rWOUO9APe/hQj8NMA3yw2ymXh+3TGt6ZC7Oqv9fPacYccqLPabKgv3jdKdfyJGGbCo4fZwLlX8BxP9brMHOHH+8rjQHJNhjOty2N63Y+aX2aaxpk2Y5dsm3fZlnmCErnka/Jq8cG5UZ/nstr2yTLNu+RT22qEQldlFd+9Kacutgh4yNbs/A1iGfRfvnEU8ulydklZ945JG+/dVqm7iO4E15xuttl16eflg1NFeLoeEfOHv25vHw3yWUrV0jLml3y0ccWS3n4krzx47fk5LkbUihmkcvlEo9nYhbP6ZKZO3Wm/N7OkDzSGpdXUNi+csBnrU3D0Jjfxe/raxNQCg751gU3tps6k/QjrTH50tqomeuQ4S+febF8LLtiNk+0x+QLq9MV/F+cdsvrHa4ZV1FOPCvvXT6ru6Vm5S5Z8tivWN9ELr/6Dbl5+MfWt+nD8DSGqjFZWu5cr6zw6aAf+/t/N6UxMVcwadvWz33FXB8ZunJULr/0J+bzfFPeskoWPfgpcVe3mHDAuSCJ5xvsuSJXXv4qnKRha23hEo3GsLCMs7TkVM6sViZFNczddveiq+YTys7qZ/+V+OrazXca0cf+9vfM59nE7a+Upo2PSMPaB00ehmzYoMRhKCzT5rnOMise+6K0bH2f9U3k/D/8JxnNmTqtEInH4xIOsyFy5vI3xixt53Q6xetNzytd6LTv/aRUL98uzjlMnBYd6ZHu4z+V3lMTxz7PB41bnpLWXc9a30TOPP+H0nv+Xevb1LAHum7VdpP/pLxpubU2jWksC42YMsjIlfsJ87ds/sy/sb6J9Jx8WW6+9S3rW2ETDAbzTA84d+VyjDzb+Xx+cTgKvxPn6bag/N62cQ/o94945WtnJ9ed7MFu8qdkTXXCTE3WMWqX0btwwglDx9vKk9LoTcqbXa67SnTNoahMyLayKikdwfTMRvloLUvKN58KmJ538nKHT/71oYl5GO43B17+nvUJYlSwTvjhv5RXjw/DCbd+zkad8Hlh06bN8tDDj1jfZsbJkyfkF6++Yn2bPvfDCf+1dRH5yNKYUTT/8ah32iEy2axdu04ef2Lc8JwPBux1ct05XrnfrRPO0PCapZuladOjUrdiu7U2DcPUOW70yuvfnPeeiFwnvCo5IEvi0x87N5tE7H7pc7ZKv1RJco4CiNwSlVoZlLrYTXGkCjdTfIYjRw7LW2++YX27v2zeslX273/I+la4UP1ccG2QkC2dZGqunHCO/Wb4aTPKNMt2NhyC0nvugFx545tpY3KWyXXCV8ZOiz+Vt3YuKM6fOysvvfSi9e3+smLFSnn/0x/4/7d3p7FxXdcdwP+clUMOZ4aLuIiiJEqUZMWx43iLHSdOnDibncgxknTJh6YoWiBfgjafW7RIkCIpWiBA27Rf2gIxAiepbNlGLLuxEluO7UiOZGuhJGrhvu8ckrOQs/aeO48Wdw2p4eO8mf/PePa8x9FYJN997553zz3X2MtvU446TNpqEMbWFU7zq15RdXIE3uTme26bNWpvwLA989BMZBuEy33V13hIz8OWCuWLxSMzmOy6gB7VBhfPG98Oy4PwGvVz3pm8dQHW7Sahy3NHf4mxsTHjyPb62te/gbq6emMvfx2cb8XjoZeMvbWDcAm3JfB12NJIpEt0UbTN3i3keYUUVLaVpHU6+WYt/H0y6ejGwWWWB+GdrjvwfxVf16/zxXf+/IjxSv1s8jYIf08F4a0MwreT3+9HzY6ly1Rla2Z6elMXx/WC8PqyFP5CBcxfbIrryorPdbhwvGftIPzI3hj+5EAMhwIpnBu3469Olq/a5/z3T0Z01XVZp/Bn112bukhUVPhQW1dr7JnDo9pB4N6njb3NB+HCt/OAHjmru/NR40iGLF0klVcHzy+tcm6G5UH43NBVTJ1VgcM2KHGWwVbVjJp7noDNtfS8zJX5qQFMXTqB9MygTMQ3juav4FQQExNLpxxsl0AggOqa/F5HWEhwXP3Jv4TTn+msbVUQLmRdYhmFkyUHF5M5qCOXf4fBcyfU3tYH4RNv/w9iU+sva5gPQrMhjIwMG3vby+v1oq4+/zv0osRbB+/+h+HdvfRhTy5NtZ3E/EAr0lHzg3BvyyOoOPxZYy/7IFx4a/foDDMplLaYPNweufIWhlQb3Nh88NxbHoSHO9/FzOVfG3t5TF26+vv7NpVxuRV27WqCuzT/s7E+XT2J7zZ3GXtrB+FWtTwIPzVViR91LM1E2W4v//w/jVd5FYSXY9dHH8LdDz+ID3nmMN32Ik6cHUT36CoNjEF4wVovCJdA+Rv7Y3qTtJijKgj/6dW1Lx5/dmgeX22O66IQUgTie2c9S4JwqdTYXJHCDx+OYiic+bw3BtYO6vNN7eGP4+AXv23s3V4QXlHXrIPw+rs/YxzJiEz0Y7j1JIYvvrGk+IsZlgfhE+1n0farf9WvzSbLh0lhuZbPfgtlNU2ZSuk5JJWsZWREMg7i4Wl1nm4iX4vynlQlvueb39fFk8RWBuG+nS06CK/90NIMAZkjKvPBhy9KptLWB+EXfvH9DVV/JmuR67PcNxrU5vKqPlkOyXQoCVh73jmKqe4LuuaI2XY98GXs/cQfGXsbC8JlCbHaw4+g8f4njSMZsmrIwn118Xri22F5EC7Linae/JmxR4Xmy3vj+NFDN4txFnoQfqLPie++k1/LG7adkQfgGXk0gSGMsLoYBUNx2Gx2VNTshbe0HK5VBiUlzYdLLBSfeCqzRIL8d0dpGo2qsa23TMFubwp+1RCDMZk/os6XZW/1qnj7URXw+9Rn9IZs6NlAoQgqLpKKr9dglnXVI7lPH5QiWlKtWorsFGsArq/rkrdGVADkTLYVwfksI7nyMEm2XJMHv8HeSwiPSxV/LktLWytzDzJ2aMO8qi99IJDEQ3WJrLZ7apK6H7+4CnuxyauoY2Y2grHxaSRK7HDU7EGDP4Bql33pX9KeKcBTVmqdEUvKjXC8BL8fduig2uNI6yC7xb+ySr406HL19btVA6/zpHSVR1nofzm5YHyiIQGXPa2/vlahByIhgfj4tdM6RT+XqflS+VeqWQd7LhlHCkG2I6yZ90nnx2G3w+Vc67qe7ecRbYWNn892uwMul2t5SSdDYZ3Psia2HqmW4p3rJ1dmTQoIygPPMXXNnZ/Nj2kvlG821i7XI23Wre4/9qwKrxZW+80V6ZN/80AMP/hYNKvtbz4yh083xuG0Fe/PM6+C8OTIJGY7BjCQsCHhqMWh+z+MQ4d3ocJhvEGx1dyB/fsO4r5dXuMIFQspxCAL9l8P2jE1X4KG8jTuq10ZhEv6+df2x1BlpKMMRWx6qYXlzVyqP0qRNynatplibFRcpFMoy79IGuF0f5tx9PZJYC/pjbGw+fMdt062j7Yz75Pq5gF/Jaorq/X+SkX8qJzywMbOZ6lu7pM6ITW1a2TtFdb5nJibxXRfGwbeezWz1GQORIPD6D/zsgrwe9dcao+K3cba5Vpsqo16Sj2qvdahrKzcOLqewmq/uSIp4LWelJ46ms3md3LaXX5FHolxTI3ewOn3+xGMpeGs3ItD9z2KLzz1NI4ceQpH1H+/+tkH8WBLHapWy1OngiZBdFL966UuJ66qQLyhLIUv7Y7jr++e08uMyfb0vhi+eWBezxuvdKfw7ogD7ww5VhRbkwvF3dVJuGxpvf6hjJYT3YoE4rODN3Rhq4mO942jm5NSHcvhSycx2vZ7nW4p8x+LkdvlRnWgCn4VtNjtzEYha3M5Xaj0B/SW3aia9UlpofnQJMavv6sL/snUndshmUEyX3qy83xmacwcja4TLSf3nHIVeNfvqNNZtpwStXkymHVywImf33Ct2H7V7dLrhEtTlirn0idvn7Hr98sU02KVX0F4el5dyAcxcOV9nLnYhZ5gCnZ/A3bvP4CWAwfRsm8P6stjCM1OoHvsZmEBKi5XJu14WTVoGd2WdPMn9sTxxy0xvX1NBeGPNyVQXZrGO8NOHbBLZfTlmrwpPLozruf/XFKfNxLlSDhlR+ZATvdf04G4bBJAb2SkRgrxzAy1Y6j1DV15PjTWbfoa7PlAp/+pALwyEECFt0KPhhNZlZzPOqPD54fP61Pntsv4SnGQKTqy5vXYtVM6W2iqp1XXuMiWPISUTKPxG2f0w8nJznOIhYNFWyODtt5CAF7lD6DM49Ej4rR5o9ESnBp24MVO15Lt1R4nrgdt8LnSus8trk7Z8PaQAwMqcF9t6eBikX9nXDyMxNhVtL5/Hhdb23D1ejvaO7rQ3a22zhu43nYB5693oW10u4LwlLpZhDE10IWejnb0DIxjvJjLmW8DqYz++oADv7jhxluqEfeFbPDY0yhzZFryuLoQ/KbfiWevu/DmoFMXc1tM5pM3+1K4qzqJEfW1G9OZ9PZilkolkZgPY352cskWCwVV0BhGmnOglpC5ijKHW9IvR9ve1q9l6Sf5mUlALSPm+pGv2qS4kP7ZzowjNNKFya7zGLn0Jgbf/zVmhzuQLMKCQwsBuN/nQ6UvsM5ccNqsVFK1adV2V7RpFdhkzjm26VzRAbjDqbM5An4/St2FU214I+S6F5kYwMjltzB84bcYbz+rK+PPBUf0w0upq7EQVEvQLQ8vZZ1sqbMxM3BVz/+W6twTN87qgNzqMvfV6Mo2GJrKVEXnA4ZtY1cBd7mnTD80k4fAdPsiqm/er4JqyVRdvEmfvdaTxj5fUo+CS59cBsn+MLJornGRys/HPmnVgQ2q4PvMb/H6y8fw4vNHcez553DspeP4zdsXcWNgCvPb1n+IIZkYQtsbx/Hai0fx6psX0dpnfIlMI0XaZNmxv/9DGf7uXQ9+dM6Dfzlfqrd/OleqjntwWjXw6djK4FqqMe73Zy4G8hmzq7yn2CTmIwiN9upRiMWbVAOXTpXqTRjvpAXSoZSfzcDZV9D91i/Qf/a4XkZNqgRHVadT0jNleZ3o5JDqYF7H2NVT6D39ArrfPqqDcPlaYaSgr3IxXjV9NHNMAhZJ2fWpjk9t9Y5VUtA39nm0OgnAZ0e6V7Tpqe5Wdd4OGu+ilTZ2/i0E4LK2t5zPcm4vtbHPKwTykFKm6/T+/nl0qWvjyKXfIdh7GeHxPv0wUoJQWaYrPNqNqa7zGDp/Ap1vPquvjzMD1/RDy0KQjM3pe8TyNjjZeUHPdTd72c+Ck207WvY+abMejwdVgUp9H1rfrT+P1ia1lz5en8BjjZlzXaaUSr9bpolKvaZix58AWdriYm2XJx16u1WV8wP+FA4FUjqQ/526GMwwCFedokmd/tenOkGLt5FLJzPzlfnEfl1zqmM50f4eek8dw7VX/gOXnvshLvz8e3qN5MvH/hk3XvsvHaRLR1TWAS8sq7Qf1clZKXNMUnZlvmx11QaKsK3zebQ6qSg90fHeijYtUyAikwPGu2iljZ1/C0XY6lQAvno668Y+r5BItfTQcCcGL/wGHa8/gysv/RgXf/kDnH/2H9D6v/+Itpf/TQfpo1fe0cFqOpkw/mRhkGu9pOUvb4ND6ucRGutBKlFY36/psm1Hi953swhbrU5Fv7X1P4/W96mdCb0UsAx+SQA+PmfTmarXVJ+dii0Id1ah6fD9+MyRp/CVLz+Jxx9oQm3AzLQxJ2z2erR8/PN47MmncORzD+GTd9ZAlpFnk94ceR4pDTuuYsSFTQLz9TR6U9ilLgjRZAlaVdAuKTTFTkZkZWRXRsQXb/IkP51iR+FWJA1z4ecnaZeSYilpv3qLTOtj8jWZN1nsDzQqyivgLffqdEDaOrpNx+eXtGfZpHq1ni5BOVHuKYe/ooJFBVeTluk4CT1FR9Kv45GZm9dFtcm+ZGwU6jkp1/rV76tR44EDR1TN5rA7UFNVDbfTpWJp9v22imSaygpFUjD5cGUSDnW7lwEvKdImxZClr07FFoTbyuCrbsAeKfJ2oAXNOyvUDdTMG6cdJbZyVDftw94W9XdobkTTjjLIrAheCsyxtyKF5oqkXku8Y9qG4HyJDuKJyBwy/9vp4FwwKgxyLjtXpKATUT6yqc5fqbuURdi2WJkzjc83xXFnVRJ+V1qvQCSrFb3R7yj6GkyLFf5ZmIwhFR7GQFcnOts70NkpRd660dPdg/7REKLzZj59TSKdjmB6pA8DPd3o7upCV2cn2jva0d41iKlwFBxz3FpyQdijAnEJvs+OOfgcmoiIiIgoB8pVAH5HIIkjzTHs8KQRTZTo9POXu53oDdlXLBlczKwZhOtqwxGEQiGEwnOIJVJrB1OxacQHTuHN4y/gJV3gzdheeBGvnurF8GT2SwvdvjhSiSFcPZkp6vbB3+X553HsV+/g6sAEiq9O8lILqeVbNTotAXiFC3pZhHNjdmaDEW2JXDcsNlTaTjyfifJPtu2I7dcskoberPrZX9kbwx2VSb1q0WDEhlMjDpwclDXBjTeSZs0gfKwDg++8gGeeeQbP/PK3uDwwDq4aXhhksf/OGRum5rfm1Kx0Z0bBr0zZ0TFj56WUaEvk+kk3n5zTduL5TJR/sm1HbL9mqStL4aH6BL60OwGn0Y2/OGHH6WFOQVuNZUfCk4tGwuOJJIOpAvFanxM/aS3F8e6tWTf4aIcLP75Qild6nLcs4EZERERERLf2QG0Cj++Kw+NI60cVUozNZUvrqaBP7Ikt2R7dGdd1mqRGU7GyZhBOBasvZEPrpB3ds1tzaspSZufH7fr/Q0REREREt2e3N4WPVCex33dzhEuqoktaugTd39i/dJPCbQf8SZ3CXqwYiRAREREREdGm1JelUFWa1suozyVL9Caj3I3ladxVnVqxHQqkUKv+jK2keHOZGYQTWdXy61aBrXm5Yg1PzjnJU6v8YtKr/bKy/QXm+vPyzbK/d0G1W/W9WP7byfX5l+vPo21VWLfZVa4/FjoPs21Hq74vW7n+vPwiv/1cndKT8yU6i/V6MLtNMlKlcno6nbtGZbXmySCcyKLS8k/q5hJ7JTY7bPatmUtvthKbDTaH64NAPJ1KqQs1J/Hnp1Vue6sGltneHnP9eflFzuWFTpyc33Z1nq/+/VmPzeHU1yFNfY/ppCy6abUOa67Pv1x/HplK3XcW32flHltiL4wiU7rP4Lj5vej7bMpC7TXbdnRb19dcf972klvP4npIki7utOXmd949a8d/X3HjO2+VZ7V9/6wHr/bmrmK6pLW77ZmReCGn8lattJQrDMKJLCoZm0MsNJm5qiqeyjqUVTfq11bn9Pjga2j5oEOfmA8jHpnWr4ksSzXVWGhKt11hd3ngb/oQHK5SvW913rq9cHkr9euUClzmZsaRSkggTmRNshzu4ntPWc0ueAK1xp61uSuq4K1tNvaAeHQWibmQsUeFKKIuxyNR20K3US/b2+LPTRQswf1svAQTc9ltslKRHgk3/vztqipN4aM7knAYQfh0rESPzuczBuFEFhWfm0VotFddTDMX0IqGA6g5+CDKa5r0iJQVn9ZK0O32VSOw58PYccfDH4zsz89OIDI1rF8TWVlovBex6Ix+7Szzof6ux+BrvAOucr/OALEaPZrv9qgAvBm1hx9BefUufTwVn8fscAeS8cwDByIrioWCiEwMGntAYPedqN5/H8qqdhoj4ha8z9rtKA3UobL5HvW93GscBeaCI5ibGTP2qBDJ8r/XpuxYCLvvqUng87vjOBhIZkaRjeNWIkH3zvIUHq5P4sk9cbjU9yGGIzZ0zxiZWXmqJK0Yr1d1+IHPGa+IKJ+4K6pRte8e7H7oaThKy3UAGw0OY7LjnArOu1QnOKYC9Fw9YzSHTXVqpHPgbzqMyj136WNJ1Zkfv34aw60nMTvUoY+RdTXU1iPg88OuOoKLJVMphMIh9A32G0cKkApY/bsOo/HeL+jOvEy5kCGJ8fYzmBm4jvnZySWpr1YgDw4c7nIdhNccuB/OMr9OQ5drUe/pFxHsvVLQo2s7qmpQXVUNx7LzOaXO5+jcHHoGevVrsiZPZT1qDn4Mu+5/AjZnqX7oFB7twWT3RYTHepBKxnWGi5XIfbasehcCe+6Eb+dBfUyyc4Zb38Bo29vq++rTxwpRqduN3Y274XQ49O9ysXgigeGxEUzPFG7WnRRPe6wxgW/fOYeAO61TuHtmbTg56MSlCTvm1O3HYt1GvR757ooUHqxL4JH6TOaVjLBLqvtzHS69Tnk+aTtzwnjFIJzI0iSdbP9nvoWKhpZMIF5SSMktMuc9pToEvRh471WMXTttHKf8J7eV1Z+pby4IX/vzrKjx3i+i7sOf0h38D+ZQFwjJzJGU+ykVpHS8/ozlHiqsbu3zb3NBeGGdz4XOW7sXzY/+qZ5uYVeBuDxMKxgqBEilEgiNdKP31DEEey8bX7CCbNvRzfflJgi3dvttUIH4394XxUdqkvC70gW1Trf8ZpLqcnstaMdPr7rxigrE883iIJzp6EQWJnO45MY53deGxFzYOFoY0skkolPDGDx/AtP9V42jZA25vqsXUC9BGW8/i5HLb+k504UmHp7GZOd5DJ57TQfkhYHnczGLBkf0fXZ2uBOJWNQ4WhiSiRgi4/3oP3McodEe46hVZNuO2H4Xk3nSP7lUijOjDj1vupDIvHSp0P7sDRfOjOV/AUWOhBNZWUmJnjddVtWgCzxJGrfMyXSVBzIjbBZ7Yi8j31KETeamzY506dT6yEQf4tFQgYyokYyE+yp8K7oxMhIejoQxODJkHClcMpdU2qiMsFXt/yi8O3bDXVEDh9ujvmixZ+MykqY68rFwEKGxXgR7LunU+rmZUXU8brypcMlIeFWgcsWoWkr9XObmougfHmQ6usVJhpnN6db32cDeu+FvPKjnhMvUCytmssh9Nh6d0Q+5Z4fa9UOzyOQgkrGI/lohWxgJl/a6/B6USCQwOjGGmdCscaQwyaXKbUuj2ZfCx+oSeKA2gQP+FHZ4UrpaurV6jarvoKJYeZjQH7KhdcKuU+tvBO0IqmOLK8HnC6ajExUgt69GV0cvlc68ZyE13WKXU3U5SsajqkM/reeUytw0Bt+FxVvuhdvlMvZukltRLB7XKenFQlJby3c0odRfq4u02VVH33pdIBWEJxM6E2duehSRiQEdkBeLMk8ZPKUrq9vL+Syd+ll1Pt+im0UW4qlsgEcF4zIVTGohWHIKWDqlR/TnQ1MqEB/SI+HFwmF3wO/zGXtLycOySDSC+VjMOFL4GstT2KeCcSlsJnPEbSXWK84mS5GFEyUYj9r0/PbrKgBP5PEll0E4ERERERERkUk4J5yIiIiIiIhoGzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjIJg3AiIiIiIiIikzAIJyIiIiIiIjJJSVoxXhMRERERERHRFuJIOBEREREREZFJGIQTERERERERmYRBOBEREREREZFJGIQTERERERERmQL4f+8lNbxnF13cAAAAAElFTkSuQmCC" 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LY3WF/KbPK51lUpavlGd5XamU5UTM2BW1pc1xGxLiqG2U686nrSaFTZmU61Q+L5V81iL5JVUuU/l8tPyyVvZ9rfgAN8t2Om1Sykc4Kf5NWPLbPPERrpNjX55eXwqSO+ETHyK93mq2ypfm145U2fTK9Uk5q7D2S6E24XYRrFeIzagQ3+RM2nmjct5FUp9dL+e9WWxCehnV82qPPD2v9vQIRaI4rfuKb3BK1FpMrnfZiDc88Xo6nUqv2FG5bm0s0BbV43rfcpyolPm1YufuFEG2OuN5+eR53Ca+5QVSR+sHgO6U/yd2xS3HW6AfCqasgrahUsTxCnnPV8q7CscGbdsJsaWnxO88a22paF1xvtioW2T7W7T3jvnQn3xear8i8n4aSr14p7zbzLpCP5yo36n2fr7cjzY4nbXOpe+oT57DUskX2nB0vgjKTJut03ddJe/+crnOlP0zNjvhQInYxrXy/LKhj9sr153Kj27Zt1PyRvIdix9n5cc7Zf9L5f3UJXebJMkW44E8pXlAMlNC/EntAdiaSjeL1D9SgUxF5HR2tyajYMcfVfpwhWT8BY4YXm32409GEmNWAAufOGndwTD294bxF2mttue4PbhFHJfbtU9eIIA/6YyM2HVQeWd5mTnvCkccpzp7cwrClZfAXW4vPlTmxJs01rxc58jBC2z4h9oKMXZxtPUFsaU/gq+kbdrodONdFVIBynF80dDYgbjG0d06G6lgGnrf/yaV2YuZHwHHYJlUqvr83lshRjIcMOd/UtLTjbs+m8fq5QJDITwfiOAn/hhesn7S53FPeYkcQ1vDpbLsGOWdTTpwlwoK10DAlB92REz3ot3Wr+lo185rpVK4rdSOvt4+/F1PzHzRTV6aHEeM+7cbSrHEHsPOVj9+Ilb4yVS2tfJ0qVQIZ/vCeEHe8ZfTPrRc4PHijSKKLnFJmjyTsfI0KV42S57+oubp/n486I/iMRGogy0HdnyprhxLXXHYIhEc7gym2VE73lmhAlrEtTg9fT2SR3tj2GL9quLZZnPge42lmGeL4NEz/fiJZLeBr+U2F74/rwTzEhHs6g7hMXEWfp5WnN5cViZOuh0LElF0B0K4O/UVUbilpATXiHC/WIq0v89vysbgee2ocDjw5boSUza2N/fh3+S4RwayvwPfmFeGVbYY9ncG8CtxlB7IOO/dZXbUiwPYk0PgLrVfarejwSB2+0P4PyN+mbXji/Xl2KyPuq8fj4j9eESe9U7rV2210Gte7hSHSpy4bW1B/N1AeXbhPWKT7xQnryIewa9bAvjCwDXbxIl24C1lJWIrxC74/bizO4reweJO5hx2rPc48fEan8nn21v68Ocqbq1fFc3nH6xM1pnDulvbnPivplI0IAq/OPI7usP4u7QycrXXa1o/rxWfqK+7F3f0Df64zKkthV68u3Kw3tIyPyACJJ8n660IdnaG8IiU+/tTedUuNqGpBDVS5juknn5VfLF/TPPbrvP5zAe7K7zaqtqPP5d8nqq39LwXixD+QKUTYSkDnxf/R1v9BlptU+eVWx47cNfQevpHYgOeGqGe1qFgK0Vo/od29Y3Jdq39+Be55vTW9dSzjsjz+Ib4DOm9Aj9eWSGCU2xlMITdYue+EEjgjPVboxz7neVuXC/l3meLY/vZvpH92HGidutW8btUcGowqT1igz8/xrG1rnhPhRMb7HHEwiH8v84oHrV+02emvfXuEcG5zi15LuNaVah+vqZctoljV0sv/k2efXovxXlOD77R6IUvEsIe8Vce6ZN8Yf2m/szf1nhwnvgr9qjUUWIb0+3fRSrcSzy4riRp/9J93wq7HW8sLZW6Kpkf/9Mfx0vyLk9av6fyxXypK9rEV3pZln9OHVvO++91XiyzRdETEr9R/KQhdYH4YCvdLnyp1mPyifqeD0rysC71chwG7iKFTyiMFyUDfzm9W7OwOxzFjmgsWahcdqwyqYVMAn/e3o2bT/fiHT1DBbLSLEZIx/2cUkPhdmBxMnlWssblxs0lKuql5ouF8ev2pEAfIpCVcBDXn+rG9WJc/2KIQFYS+G4wiocjcdi1+4t22ZlxHFjktmODT4x+XBwJSwQManfJo/Eovt4dkTrCgTU+u1y3bJuJVLwPh6L4XkZPhBclbU8sjma77FMUeZpMDBveLE6YdjDb1hvFE2L70rvWaQfpfxJHdadks1JxCFZJPhuOGoowtqQLZCWRzKPbtWuFOEg1UkR1bKKiR9Fxe/Nkva83iO+KvUkXyMp9fUGTT7XbnUtE4OutdC0ba712LHPHEYkNlo0BEnEEYoNlY7048qmQEQ4p3/PEoVql6/4Avi/nfSLzvIEwTuu4Zms9/4gj5o9iS7pAVuRZ7Qom0BLV8XI287xSvE6cz/NE+JdIme3oSXcQlQROxOPiXMv9EiJU6hAAcd5T+fwLUsdn5g7N50O6/aZxm8+DpbJvQvLUNhEs6QJZeVL8pN/Koj22ykS0vtlK15LdIPXJFeW6cxhPWmVzSCuZ5PPfiK0JxxyokvpHdXqK2ySfq00I+8N4XM6bLpCV34uI/L2c94iku8vceP1AlWfHIpcDV5pBwGJz5Ph63iH3Z8qX9fcU0Sc2S4VmZvfz1LN26hAph/gYyWTBic0ikF3yrPaJCHs2TSArzeJ3HhWbrGNup4q+/jBekOc9lkBO1RULnAm0ReT59qQLZCWBVyX9n6W+UBudWVcExS6r33n9qV58TDJj5jC+M1GNkQIEHHaUy3NaaKUrb5a6Qruh28Pih/eGhtm/rfKc/kN8uOHY4JV665IyuRbLj3o2XSArlh/VEZe8Kz7Xiqx1XGFSPHdCZg0a7GRoN9001CBLBTCbReN4WOZw4j2lXny9pgwPzavEYwtSSzk+XOnCyinr4pMf5jndeHelG3eWOuBQZ7wtvXUlGzbcKg7yX1eU4Kf1FWn3K0uDFx+V48watKKQpU7FsBj/H1vJmWwJR5OVr9eJTbL91cnkQWT3bvmnPbk2nCLL02Q86Mt3YLF2QYzbsFBswccrfPh25dDlH8Tx3CwOilMc2jJxXkZi9M4vOmZWsprl1Oo/m91qYMQpFKEaFFE6nCi+0tWPd7T2447O8GDwGBGLtXI9lSpkQ7GsZSMiAj1VNtxSNq6Ra9+of8tylTjTyhlxuM7ocAqzNr2oGzmyT6pBFJPPK8UCtQfy6MPiaJ7J+IhLSCarJL9skEUx+Vz+HU+u0dgEuofT5cKlJd5hNuHbUu9+3CflUA+a/iHdbodPztukpw4NtvJmcp/fj1uae3GPP4r/SdM25xibEBNxGEdHxofdJHF0yW9HQqbiwmIt0AYRQ2oTXPJnNIoDUygqJ4XYTx2jusla1Xpex4mr+Dsk4u1VK3k6UdsbyGp/M0nWFT65/lLxHZeVZeYJH75W7sFfSb5QRqorVsq+X6wqxU8bK/Dw/DQfTPxO7WWjejaTxU4HNOiVXz/sj8f+2ezyiO2Yp8e0/Cj1hzLRuqJd6oKYXLOO0x/8IFvYZH8DhJAxOcflwUeqvbixzIWF6rlGIjgbGFy6I3GExlOrTjd2Bz5Q6TFBhrRr4smeIP5t1IrRho+KYX59hQebxIiXOuJoT7vfs6E4erJWyjOEVERq4Mx3CrmsEUVuPG6Mvn4b0Kopza8mZHTUzxQHokT/ln9rfC40yNKUuXjtxgGdGuLioMl/x1P0RPBqPtfyofuNVTaUbGVDTNy4hMPMozM1JMx1E5Ir488vNmjHLP3X7XKgwpvFJshS63Fg1EY3KZwvWn/mykBnqFEKpgZ1apWynRXdT0Vfcq1wkGvWoIhDWjhnG1Zdob1xPJIvarPkiSavE40m7PRwNFX9zk/WeLHK60BJPIZAKM0Hk8XUBcnNs6K/jctNk/xkk/pCv52k/Khs7c1aV+gHVf3Qq1nQbF8EjFY8CSEjYsNFYtA0uEWZGIfTwQh+Lgbqgf7UEsVuqVl7xl25Thc2XO11Y6PbjtJYDKdCOp4qljbmcDj1TicuFsO82B5HMBrFi3Kf9w/cryzBGHbNJpFskbqikY32YIAh3Xb23QGZ7ZhvS+KwHBA78GQgjAczl/4wfuEP4af+CH4ayrdRSH4MGheSyVP5fHSHZvSyIb5T4aEfzwrxusmMMZH8kiwrCfSFo9ifzSbI8oDahT6xC31Sn5rth1Nu/ZsrA2V0lGvWIVGpYRtZkd8KThzINWujuHbqmc1oXaFT7PVEotibJU+YRfLFTzVfZNQVOoRE/c7V4reFQmGpayL4ZYbf2S67jNZQrK99tFefjYQcL3UlWldk33/ww6sya13fcUKRTMiEUGOV7L7SGQxje18Q3xAH+AfiJCeXKLaLYNRQ+LORMrsdbyxzo8qWQECM7e5QBL/O+nlwkKUul5lSxhmN4HB/CPf3hPA/A/erU6bETDCHWYNURKrZzTgysXSZkW5TuBw6tYS8Udk2JO+z4L6gk5lDs7t4EGb69bg4ut0B3NcdxFdHWnpD+Oq4A9WNTNIZSs4lOlJDdYk4VpWy6BQdAw6kXHNUF/lTfhqhbNgGyoY6SVoutJVATxk25xWnVMqViujxOl0zgTqncblSdXr0ugkZDS0bqSpR80tmL4rR0W6t+m8cXeIfvNibxRYMWSL4vdkvyYAokfK33qQMxyMFV6dcq5DC57XSlNTMPZrFRxL3GqajRnwAvc70Klv/NKty7GwzPcxWzC3LzdbJfc03KbMUq66IJzRydwRbsuaFtGVIXaEi1G78Tofsf1zy1E/8YXxLxHG632kiZFt7pGPEuSyaJ8Zl/0ymsOJLyH5aV6Q+nKajdUWp1hnyt54rfY5mk6cKlPE8KkLIAHaUiqXQaLVHozHsMRViYaBfIz9YUYoNYs0i/f34RX8UD4YSI84znELneFTaQnHsicSHBvoRdE7V8X71nlLicfhl0Sl44HHidis5kw0up3EIYqEodovHkHlfhIyKOCwmEKjTiXPEUVAxOh2o47EzYmSuCfSTmnt8KHbcXeLG/y134x9LnLjSStXp1zrFmeqVfdweR9ay4ZTDpcpGRMrG8/EE9urfsmwRm6fo3OE6x+esKvcjcDam9kCcOZvOBzpNL4kULEckv+yVRTH5XP4dT645YvpoO1CjYzTHk9+kzjLTcerubic2JFOHcaXbjS+Ve/GXHjtuSlPw+41NcKBezqsBroZjQ5nU5fPcakGiZmqnJDolpk7XKH+KLVs2vq8CM4e8o065lbi8oyVyv+us5FmJVVdExAZVyjtYP65nLO9S9lO/U4f2bZHj6BzZwxghq50Smx2WH0vsdtSNJz8m4vKIrfxo+VGZU44pWleYuZKj8j7CMTxkpZsPspK3CshFHgJFMikaOsTAH7ecN42uPE/+zfbFKz/oHG7yjxhmnZx/WYbNebPPg2vE+VwydRcwIZZI5ffm0tLkNCfhAL4lFvvRSAKHrd9Ho12cZKXGZcM8MbLprU/z7E58oNSFW705WH15Rzp2JeZ0YK0Y7NcmU6eAGE7IS9qpn27tHtxQ4cAlkjrYHUuegVz3xzVSiVRe+wJxtDOgDxkXml/i+E2f8SxxYbUbd0i5v878NkiTw4VPiUP79Qo3/jJPzqean0cDYZyRSygr9+DtYvNel2GHXuP14OpSNzZJuWxwpE+/EsPeYBxHwnYxYYNlYwBxxkocg2VjV38c8n9DTJyeM6FwMrBPqQ/vcNtxTYYnoZFU56sAt9ZnAw8Ew3g5FkO/2OuaCi8+PeSabVgktujTPm0HIQTolnrqZDgykM8/LXV5Zu7QfK49LbLxvUDQzPnvLvHg8jIPvjjMF7Bhg4jgv64uxbe9UqdaqVqyW0RgP9MrBc7mxtVldqyU1KEtu3a8XvLwklI7ym02ONOqrV9LPleb4JZyf22JC5/NsDfX+bxiF1xYLenhvjB+MbBvHCciMTzdrzfsxOZyp7EJQ+5P6sv16c3Ws4IotvsTIjzdWONx4XJf+rPUKaAcWCo+y4I82d3JkawrmmMiVOVaL6324J3WLyl8YnuXOF34fq0vo66QF6UtusbvlPcg9kvduHTeWeLFesmkOotTJvcFQjgsPrJ+TFgo9UWm/btIntP7vdkc1gSC8Ri26BRllh91ucM2JHJ2yo+qtUvelQs8lN4CLvu2SvXYZ0vOxbw54z1slvPeLs9ipHI0gH4MkcMG5floYDsTdX4a4DzJZIDlklmvcothTasJKjxOlDjt4uwk4A9EzHgHQzSCx8Wg/neq3501p6wvGMSD/RF8eViXQgduLHPjXVKQFiKCX58K4AvWL4sdDpwnhecuz2CuL3G7UCpCzGcT4xeK4Iz6oEosih3hGJ6TgviclTSAFJ5Fst+9tV7UiJHoEweyS+x9TAyAQ66/Ss77+bQ5AXV7jfj3pyXOwQIq11ItzqYJuiEO1bFU3yUxbmdDUbwq5/6BlaTz9r1bNvTJb2EpwO2yrXZJKfe6US22RrvvGsNmEwNzxo8/H3gkNqyS875TROVgREsHasXZLNPzavRVqahM9xahPRzGNjnvD5P6H6/xePAOr04rP4ies0bOGZYKslO2C6ZKdSyC74lRNtMMiCG7TirNT1ZqxZ6Q5yPv0zrmcOI4Jr8/K5X1w6ljyf46F16jvCaXGL6IvP9mfS/yzJYMEceyg86z1z3SwZNzTG8QD7pU7jUqzsgpS5zK68Ph7hAejcbxeOq84hD8daXHVHwDWVOe1xLtY6oGOBiDDt1Jne14fwCfH/g6LpWj04lPVZeYqI8Qp0fPFU1oV1KpqOS63fKiOjr78DnJs8f10pM7DuTp0v5+/Ku8j18MG0vqxD1VHtwqjkqjVNTpeZrMNWz4dGUZbpK84JT8HxF70BuKJefZlfy3WMur5NV2sWW7h8ylmZon2YFlzux5SMv5n6TNg/6vkrdfSsuKl3h8+Os6tzjKcl4pN31iK/qs8y7RADBiq7UsP98XwTeGZGEbLhO78VYR7xutsnFM7bk43SVinyrFHqXKxsdEIWvAlpRNUlLndUkZDomd6JNFfNXkedWW64WLvc6cJ/kSqWMuExu7Ka01Q+2XmcZGbG5I7Epr6vmI/bpfyt72eAJHTUJqnuQwHm8O4qFoAi+Y9EHeX6HziNoxX+zu2a6+IfO1bxbbeZWc6/Ua/lXE/xl/0s46xIb5xHmsTfmInCeZCJV2O9a6PCafuyWfd/ZHTXfZiJQRU++l8nm2eZKFi6WMvFnE5rlSljS7a/1sfBnxPao9IhpEbDiljJ3p6MWnh0xdpOk2/GNdMlqxls0WyevqVtnkfzXiO5RZZfNroQReFPGTHnFYy+YfVDqxQsShXcpOVyCZl91Sweo0h27J+8FIBA91hPCVDJtQJff8udqygfNqJHg1C3a95pSvJPcyfJ7kZD3dJH/proZc6+m0eZIz54weIFUfR4J4rjeKxwIxPGb9pL7JvWZ+dFvSpwhHB55zo8+pk08YH1D9mqmYJ7m9tx9PiI396oDfMRo2vF7E7NU+F87zyoOU6+2QfGVsjeSpUvG36zT6mjVfdPq0Ui7JE3eVlibn5pZ32CE+Z78KX9m8zJP0Ac1tiu1r9oexs2fo3NzX6xzZ8g6v0Hohzf65XJKfJC8av1eOlTlPcpLBOeqlokG35McuObc+43lyTK0runv6TWyaByTPpPdMvMbrw82lTlzqkYNLXjhm6QM9r55Tqk1E9KPqaPMkC+8qL8eVPhHI+lUo7Tga8bxf/P2dUr/+e57ebQpH3fzlf2X9TeY4TQ4x5l4PNolRKxOHQRevCAk17hrowSF/l1jpZVLATojx3aKDPhUxhm8rc8EVjWK/OEsD6QPYscLtMC0aFWKoDoiRe9b6pUGcqlViIC+TQpQ6r1Yeatj0vHYx2urAmN/scfRIwVTDfcjaf5Bk5FI5NFbKtuV6HN1HjqWFMC6Fap8YlQPW1lq468QZvKtCjEvq+HKzXimsel51FgfOK0YrplMqyL1ts27tjNxrNKYBMKRiEeNWJvenBk6N266eIE5GbegVi6PjAXVc0kMDxkocODnmayo8WJBxXpt1Xq9cV6n1m0NEZIuce5u1/2avF9fos5LzJa9NI2Qmg9Hos9KoiWZfOUaZGMtdUpns0R3l/a50O3GtVOwqsYe8z2GLDWFxtk/Js96TepXybE+LA+uTfUvlPBWyndlf3kmrP4hH5Twtkidq9L3F4zgiz/qEtWsm++R+GuUYehyd5sA8Z/0YI/u1ynkPDTjFiuStGi/myTaV5tp026QToc/KI88+/T5iwRAeTDOUIbnunaEoyqUmaZL7T91fqT4wceL3yLv6uhj2A3KfOu5yIOdaedotzsQLkt/2aoUwBHH0vZJ3NXhbRp4mc4/DUk7D6rAktCzbRWRa5VCch37Jky+ISH1YnNUHpBz3WvtIBsa5HieWibGrlnKULQ9JLsXlUuZXiXPS3S/Hkf21pShFl5SZ4+G4OKbJbpRVcs5StQ02KUt9QTzuj+K34szqXMaZjkeXlDOdw94ndkzLRoXup7ZIrjkm97OvN1k2Dsn5Ml0mPa/oSDmPlGMpg7qv2j9vIopXusOIybpdjqPCd4c4M7us/daKSD5H7nm1OK+pMqv2S8y0sX/O9PIs9uuQeNZn5TBtZm+bOFsezHPEcFTu66Dc0ymTPsgFIoQXyj2Uy7n7xO7+Ms0W9Gi3Qbke2RWLXU7zjozdEUe1Vxy/F4IJLBfxot0ZfyjnTf8oQOYeOm6/w8rni8RPqZL8oo0GpZJZfeIDaT63l4jAkHrkiOSXo1L+0+s8LSOnpK5rFr/BJ3ahWvK9ydeSP+0qjiR/7tY5a6X8ah63qniDeDNSNmMD9ZZP63OxE7rEJX++0h3EP8k5td7SD7vyzwB63hNyzh7J+9Vii3RKHrUJpXKGsAjffSIoHumLmrKRPnZUkaoOu8QmLJT6r0H2MXWz+gp2LU8iUCMOLJc6T8vWHvUPBi56EvW0nKtG7u914h+GQ2H8INX4kk6qPo5HcVKe1xHxMY9YP6lvokPAxD1BhdgjvV9z3WIDWkUstukzkvRKuYezfeHBD/+TJGWXA/qBUd7z1vQXOAo69EO7P3fKNdeIX1YjNsfUFeI7uSRf6bO9X/LWD+T5DtYVyXesfmdC8sRysV/qn5dKfiiVf9XvfFXyxGk4USJ2Mi7n6JFz/D7tmtolX3TKMbXjk/qgpo6S/OyUZ3pG3vke8dnq5R24JH/9t/w9FHnGVn40vp+8L/Wx9R3b5JrUj/qB1BUvyPFVIKfvrWWoT9L1kAvkupP1jB0OKTfHpU7cL/nYI2WjXK5jW38M+2WfbN8bTonttsm71jgbpp4z55c6R64tJL+dlntO+cn5gi3JZIBGMWLr3C6szuxTlA0tFGKRnlKLqogBe7clkjX9mVT6AHYxJg6cLwWwUrv69UTwpPVLvZx3qVRAm/Ur01hIITolBvKgLPuspHT0A1yTXMsV4oBVqAgyiOMqzmBECuS2NGdNRXKtGJfbS5w5RERMoFuE1gkxEs+m3doaue7lYqSapKDquXW7kBimU2Is4nJfKnabxOdqD4TSnDWp9CT9KjlvtZUyGv5QRCoEncA9uX6uOJnaUpLD0zKG83l/LDl3oFzPKjEq1+UUtUGndxLjJYZ/R9r9lssz2yQV9nwxjAPjnfQLezCKA2I81WCpw++S9/SsGDsdw5gVOc6VYhTVmU1/T1ExcqflWPvlfR0eOK8db6pwm3Ew+qFzLDr7g/hxpkcvXOpyYY1pOdY3IGcTY6tjbTQy+TPybLUL+JBca+VpFcnaoj48crcdF0g+Wy0vvlyeV3qeJnOTdVKuF8qi4wEH5qqU8tEvAuyY2MRj4igct5KT2MTuuUyLT42I5JHy0NU+L9aKXda8rXbgVEZWrBVHWLtuarksT5Unq1wekjJ8UrZvSaYOwynXcKE4Llo2UiY4LvtqWdTeM1o20h21dBaJTdHz6hg3DQaULMMiYMXOVqp4ECfVJusviy1IzV+6WsrhCrERi2SfMRH79XJAjieOT/L6bXitiOQFIpIPiaendiLzQ9wlXo85tn6M7RVnM9MWqIO1TK57s1ecSesd6TVrd/JWeRp/WeNGuLcPb+q1egKQOY/m80slv2idN1h3JPN5rQbAlHyqH3MOSx0x+HE3iXaH1iFZWvc2Sr5PdlZI9jbpk7LZJv5SupDJJFVvqX+h2VXFc1j8gRNSth8bZT8Vi0vEDq2W8w6MiZZyHZR9VbQflWvN5kOluN7jxlKPCBn52ybnVB9KI3UflTs4V/yPHilbO+X6dw5cwyTqaRXyYjfvlvsMiXge6KGYTqo+Ft/ieEjKv9jTg9ZPBnnOan/1fhtT9yv1e7tsu9znwSqpq1c6Y3jujB9/OcpzGw9ql9eIXe4XH00/kj434OONjTaeLJJ8sU78oOoBX0rsp1yzvqNXJD8N+KoZrBe/80JtIc+SJ+D2GJ9TP052SL3zUMY1aV1h7Lb2ZDD2T/NiDG2SHzrFh1shx/VEwviPVCttBpofl4oPaXpBmJSU3xbBdtmlS15dtvn+G+S8S+T9nCPnTdYzyWtukfeoPZ8apb6otvxVbdQZqVF+ldRVqyRfN6WVpZjUqz2iPfTD0PN5ercpKJIJIYQQUvR4xTHVHo7aNV2D/aT7jyXihC8Rgf3Vahe6u3rxLlHNpts6IWRW4xAZXy2CT1v+dahZ0EpXPDYR3+Ue3OBzYKkjgl+dDuKL1m+EjIX1HZUQQgghpFix4QK3C3/oc+PzLpuJVjyIDfMddryvVLtRJUzgJPG3CSEFQIPDif9b5sQfuuy4yEpLsd7lwjpJX2BX9RzDy1Y6IbnAlmRCCCGEFDl2vL7Mg1tK3DBDilKBykQgm/GaTjt8dknu85sAjy/KL1lGbRBCZhkaqOzTNS4zBVEiHkePiOFU0MSFpst4HL1S3g92BfEnLNRkHFAkE0IIIWQOYEOTXcSy14UbyjRgY3IsYDSaHDfe3B/CPwfjQ8c6EkJmPUsdTtzgc5qx4wvdydgjOibZHwxjRyCC50JxPEC1Q8YJRfIcRe1Ho8OOC8SgrHE5UCN/a8AXDb7CPviE5I4aUF164gmcFmf7QCSGI7JoVNNOSZsMVVImNSjcCimjWk7ny98a6EzLb9K9J4SMB422q0FzyqQcpcXLQVyD5sjSKmWWUa1nF5k29rDa2GgMJ+Xv9tjkbKzaU/WFVouwStlY9YXUD6KNLRx0lpEyWTQYlU6VlHp3cQ2EJVmkX/JOTypNFp2GulN+a43FTT56MRg1UacnS1OmXy3Xoj1U6FePDy3V2ujvt8r8Pinzr4aiprz3T+NYGIrkOYZG9qwXz2CJFOBzpVJYKv9qodbpcDSoSSryLyEkd9SIBsSY65Q6zVLRasV7Rgz7oUgcr4ajxrkbD+q4net2Svm0Y4E4bfVSRrWcqmjW6XJYRgkhc4l0G6v2tVWcZRU1+8PiPE/Qxq5XGyv2VW2sfoxM2VgzDaS1HSk+NKcERWj5RRP3ilDWj9lHRYS9HIphp+Qlv/w2bIKWUfCJ71ynfrXTgfM89KvzgT5+/WQRssq8lvUT4lMdl/d01PhWsXGX+YlAkTyH0C/ni6QiOEfE8YUeFy7xJgOoE0Lyjxr2veLA/dIfwi75ty9Hg67ldL2U0TtKPKZ1ozbV3EUIIWQAtak702ystjrlYmVTNvbWEjfWyL/akkzI88EofiV5Sec81hbLQA4tlpqXFopfvU6E8UVel+nuTaaOozodZziKp4ORcflVE4UieQ7x2lI3XieLztdHt5uQ6UG/ht7bFcBD/vCQKWdGQsvpJ6t8bMkghJAcSNnYR/sjpoVwLGhjyUhoXnq4P4zfByLYqvMOj8FtkpdeW+LGWjf96ulCS7guWuZ/JX7VVEKRPEf4p7pSXOgZ/oXrmWAET4gxOB5NdhHtiSVycuQJIUm0YlRnq8FpN60TV3hdpsLMbJ14KRTFD3tD2Cb/ZkP3fXeFd1g5bZdyuTcSM+VUv5y2SFnVipyGmxAyF8i0sdoLbq3LabpJp6P29UnxabQHTzaWuxz4YOVwG9ttWqSjAza2VWysHoE2tjhxyFIveUfzz3JZzpX8oPV2OponNL7IZ9r8Vspw1K++QPbNFMcpv1q7B7fQr54QWrK1m3q1+FFa5q/xuXCRPGsde56O+lN/09E/ZS3KFMlFjmYn/dL1J1W+ZIJggl9Iwf1GdxCvjOCwE0Imjg5r2CQG/XYpe6vFMUvx0AhfqM+TbbUSuFO2T7FfKujf9UfwopRRHS9FCCEkiQbY2uB24g1lQ22s2ldtUX5WhEo66mhfKTb2LWUeKwVmXKNuv0Xssf5N5i5aX3+o0ouVkpfSP718cYTWSu2NkO5Xq0hTv/rf6VdPGedIeb9WyrB+JFMfK4U+8xdCERyLaPNBfnHUzV/+V9bfpMjQgAH65fXPa0pMwC5Fo8I9J5XHV7qC5isXqwVC8o+WM42Y+VwgihtKXKYsKhocRqNd7tOxNFa3QA3wcbc4eleL8fdY23XH4/iz9n7slu00Amf+TT8hhBQuOl5URcnzYmOXibCZZznN6vPUik3dFRq0sQ2y/joRxzeVuIfY2M93BLBdBE07beycR2OIvBCMmnpYZ4ZzWPlkjQizpwMRE8xL8UqyBtLM9Ku3Sj76UmeAfvUUomVWfaeTsRjO9zgH/KqVbge6YgmcEXsQyHOzL0VyEaOVhXZP0C8vmpXaJAM9LhXKUyKSNZw6v3URMjWowxUWY60Vq5YzdeI0KrV2FdLf1HnTMqho+bzQ6zItI6ly+sO+kGltDskx6LwRQshQ1C5qBGK1sWprtaVYo1KnumOq6EnZWG1B1i7Wi8UOp9tY7arZL/tS1BDNA6a+lvzglnykAbn0g4pGrlbhq12v5SfUiUC+2OvEdZZfrcOhnhK/WrtX67Ao+tVTh74j9Yn0o4T2iFW/qkTek4rlXknTab30XeWToQM6SNGgI250TORl4nwnq4xk981H+sPG+dbCTgiZWrSc/awvbMqemm4tizp34uVSLnW8jS6Xyt86LVt6OdV9KI4JIWR01MY+KQJF7abOc612VKd3Srex2ligLc2ZNlbnz6UvRFJoXrjfH8aWYASnLLGleUbzUmoqJ+2VoOuDeSmOR60u+8xLU48+47ZYYsCvUvRdLHc6sNHtMO8on1AkFymV4nQvdyW/eKX4sWQq7QJK55uQ6UPLm5a9mDhwis7DqeVSP2LpcpH8rV+nU+i2LKOEEJIbKRurrcJKeYaNvcD6OwVtLBkJzRfa7Vp7XKbQvNTktJk8tCzDr/5JXwjHrI/gZHrQYp4q8ymWynvRAGzp5TwfUCQXKTrAfZ0sKTTangYT0Ih9hJDpRcveM1LxaqTLFDr2SRfx5wwd8luqnBJCCMkdtZsab+V0WnfLlI1NtS6p/0MbS8ZCu+y+JPW15pUUV3qTeekc92CQuFRe0q79ZPpJ+lURM+xC0QYIfUf5hCK5SFnqtJslhY6XIITMHDr5/dk0kawRrXVJldI2qWhZTgkhZGI8Lzb2VBYbm5qkRwP/0MaSXOjIyCsa/Vrzkk4jlkJ/pzyeWfQdpN6CjiPXd5RPKJKLFI3uqEuKVN99QsjMcDAcM8EmUix0OMySQqeQYDklhJCJcTgSR2eaSE7ZWIfVkhyQn2hjSS74M/LKAmcyL2X61RTJM4u+Aw22pmigtXSfKh9QJBcpGmQgFR5d6YyxKBMyk3SKCNbIjCnKxZbrkiql2mWI5ZQQQiaGdnvVYFwphtlYWWhjSS5o62R6XtFx7pqXNNp1CualmUffQeot6McwfUf5hCK5SElFdUzhT2vBIoRMP/1SBlPBu5TMD1lRMfUsp4QQMjECYj81wnWKlI1NWdm4/EYbS3JB9W96XvFIJtK8RL96dqHvIPUWVB+n+1T5gCK5SNFskp5VBjsgEUJmAi2D6VWqGt9MA8xySgghE2MsG6u/0caSXMjMK6m8RL96dpH5DjJ9qsmS7+MRQgghhBBCCCEFS9GJ5PDnvONaCCGEEEIIIYSQFLa1F96Q3julYJhqgev+/4LWX4WJhkJPHzvRwQADhMw4pVIudWxTNsJSRDXCNSGEkIlRouOQR2j+0eCIvbSxZBzUpEKjZ4F+9exA50eW/w+Qz/dSUCJ5plp+C10wE0IIIYQQQgjJjVkvkmdbl2gKZkIIIYQQQggpXmalSC6UscIUzIQQQgghhBBSXMwqkZwPcTxe4ToT5ySEEEIIIYQQMjuZNSJ5ImJ1qsTpRIUzxTIhhBBCCCGEFDYzLpLHI0hnSoQWwjUSQgghhBBCCJk8MyaSC1F4UiwTQgghhBBCSHEzIyI5V7E5W4VmoV8/IYQQQgghhJDsTLtIzkVgFoq4LKZ7IYQQQgghhBAyjSK5mAUlxTIhhBBCCCGEFAfTIpLHEpHFIiDnyn0SQgghhBBCSLFit/6dMuaScBzrXnJpcSaEEEIIIYQQMnNMqUieiy2rFMqEEEIIIYQQUrhMmUiey12PKZQJIYQQQgghpDCZkjHJo4nAYhbH2eCzIIQQQgghhJDCYcrHJKczF0XhaPfMFmVCCCGEEEIImV3kvSV5JOE311tN+VwIIbMHNfu25J8jUFFWjtrqGrhcbislSTweQzgcxvHTJ62UsY+VJNftCCHTx9jlcn5jE3zeEjgcDislSTQaQVd3Nzq6O62UXMq4bqPQFhAyGu9ZG8ItiyNYUBpHuTsBR4EUGS3h0Tiwv8uBh4678LPDbnSHC7O8O+rmL/8r6+9JQyE4Mo4no4hd47TWBtE0/Y0QQqaPsSssn9eHivIKuF0u4xynFpvdLpVgAp3dXdaWuVZ+dIoJmX2MXS6rKqvFHnjhcoq/kmYLYLMhGAqhP9BvbZlLGddtaAsIyUapM4HFZQn8+9V+3Lk8ggZfAl6RDvYCKjJ6qSro9dova4riqnlRuYcEzvbb4Y8UVtnPW3drCuSxGelZsNs1IYQQQgghc5fllXG8fXUIi8rjRfEpSe9hfmkc18yP4vYlkWRiAZGX7tajiTyK5KHwWRFCCoGqiko01DWYluR0YvE4QuEQDh87YqUQQoqZRfMXoaxkeHfrSDSK9s4OtHW0WSmEkInS6IvjuoVRvGdNCAvK4iZtd6cD7UEbglEb4pNWa9OEKGNtSVZxfE51zCRpd+vdHQ78/Ys+HOmd1nBYk2JKRTJFX3YolAkhsx2KZEKIQpFMyNRz48IIbl4cMeOQFRVnfyuicstZJ077bQjHC6NtWbuGex0JvG5ZBP/ngsBAi3hLwIb/2efBt/d6rJTZz6TlPAXy+OGzIYTMKIls30Yn+L0012Nl3Y4QMqNMty3QbWgLCBnG+fUxbKxNtrwqfycC+UcH3Djaay8Ygaxoi3d/1GauXe9BW8KVCjcGPgAUCpMSyRTIE2ekZzRaKzMhhOQFW7YKd4KVcK7HyrodIWRGmW5boNvQFhAyjAWlMTSVJLtZK/cfGdqLqxDRe+izgnV5HAmsrhr8CFAIFE7HcEIIIYQQQggpMhyiyNKnedLW2EJBp6l61+qQWa5fMNharPeQ6jeid+MqMNU54ctlK/LkYWsyIYQQQgghpBBYXBbHxY1R3LksjI+fG8S/XtWPv7oogDesCEt6DIvLB1vDC528anoK5PHDZ0YIIYQQQgiZCkqcCSwV8bqpNobLm6Jmec3CyMCiUzRdIsJ3TVUMtd6RRa4eRwXyDRpkbFFE/o3iugURMx/yqso4Kt2JwonCnQMTEsls6Zx6Cu0ZuyUnaTeKfHcO0ePpsd0OBvogJH/kszzleiyWYUJmH9NtC3Qb2gJCphr1n53iP+tY4MaSOK6cF8GbVobwgfXJ5bObgwPLJzYF8b51ISN811bFjc+t+2qk6nSqPAkjqm9dHMFVIqyXVwwdY9wZsuFEn+xYJOTtTtgiOnGK4dl941o/Pn9RAEsr8tvNot4XN8d+4LY+K4UQMnny+Tkr12Pl85yEkPww3bZAt6EtIGQqKXUlsEwE7PvPCeLFN/UYH/rPzg/i9csiuKA+ahadxzi1rKqMmdbg94t4Tvncn9kcwMUNUeuISU777fj8Cz58b78HLYHhElJ/39UxdKq4QmbcIpmtyNNHIT3ri6Qg6cB9j31qvhDrsfUc2tWDEEIIIYQQMhRtMf7cBQHcL0L3wxtCVur4UJ/77avCuPfKfvzsFj3OYGOedq9W8dzoG94o1hOxZRXPhUpe7oStyJOHzzA73WEbvrYzOfH4ncsiqHBTJBNCCCGEEJJChe23r/fjny8L4PalQ+cjPuW344cH3aYV+J5HS3HzA+Vm2fDDSlz3y3K8W9L+ZpsPvzjixtYWp7UXUO5KTtukYvu3r+vF314SwMfPDZnxy5k8etKFvZ3F04qsFI/cJ0VJPGEbmIhcC6qnuMofITNDItvHpgl+gMr1WFm3I4TMKLQFhBQ0Ou14rTeBT50XNH6yz+pxqQG02sR//ovnfWb53/1uPH3WiYPdDpOui9IdsuOApD152on/3uvGF1/2mu13i+BNn4ZKz6EBv0qt44djwP4uh9lWjxUrwmI9LpHMrtbTz1x/5lroOqQAH+21Y35JHA2++EABJYRMP9FoBIFAwFojhMxVgqEgIpGwtUYImQlcomO1i/UlDVETXVoDbnWEbNjR7jAtw0+eceHFVicO9zjQ3G9HT9iGUCy5KOE4TNpZ+U3F8s4OEcyyz+9OuPCcEdVJqeh1JIwPrsfXXp77RCDff9Q1sK0K5u4iMweTbkme1m7CdhfcHi88GYt7WmentsFmc8A57Drcch3OSYWjmCtdrjVank6YrhH3dElFxk6fRD2FfgnrksKu3T80qt6KijjqfBTJhEwK/fQ8jLGtVzyRQCAYRFdPt5Ui5HqsrNsRQmaUidqCeBw9vT1iD9I+mNEWEDKtqGCt9MRx9/KI8ZEVFb+HROz+6rgL//KK1/jQ40X3+flhl1leSOt+nULHHW8V4f2dvR6z7bf2ePCsCOoz/unUY1OPbe2FN+SsOLK1ak6rsFt6Bz7wlvUokz/Te9127/pffOPBY9baVFONyqbluOiNN+H8UitJCZ9B87EDeOhnz6DZSpoIM/6MJ8jOt3YbIfuPL3mxt2vkPtEqhJtKktH0NBCX0hexmbDx+hUrfSxEOrqtjrXQqHk/OujGzw67rV8IIVNBVUUlGuoa4Ha5rBTgTEszev29CIfZekTIXGHR/EUoKymBwzFYtx85ccwIZBXLhJDJ89Wr/Wa+4hQ6XngsrlsQxR+uC2Fz3eB+6odr6+6x3skL1qvleu5aHsaNC4eOce4Vv1398ff9Pl0IZefB1/aaOZpT5HJfs4UClfwxxGJhhEJBswSn2V9LSKUQ6k+eOxSOTvnwmmLpcq3ztOn8ajr4XwWvBgLQ5TObgyYYgC7pEfTSUfGsi4a1L2fwLkKmHXWKu7q7KJAJmeOoLfD3+ymQCZlB7lgaxhtXDBXI73ms1HSxzodAVv/8I+KTZwpkRQN6rTEBvYq7B2zOLcmzooUz1ZIcOITdW3dg63N70Gb9lAs2Vwkc8zbi2mvOx7lNVXBIHrIl4ohHgwj0nMGzD9+P7cfHeU9yTe+6Yw1qHa3ozENLslKIrcljtSSvq46Zr1EaUl7RSHu/POIyXacXl8XNVyZtYVa0gP/7To/ZJh0tjG9eGcZOa5zFIycHW7gIGQtvRR0qF61DWdMKuEur4Copl3+rTXqwJ2lJ+poPo6/lKCL+bjTvesqkFSdq9kfvgpXekpxyirMz9rGS5LodIWT6GLtcplqSE/K/E6dPTdIW6DZKcduCxvVXwSN1S8XCtVLH1Ju0VF0T6mlFpL/H/B3oOIXuE3sH6iAydxlvS/L/u6wfVzZFB7pZ60wwX9uZn0Y1bbS6dv5gF25F/W6NoL2+JmamY42Ky94csOP/bPGN2AtUYUtyAeCsX4H6Tdfj9a/ZjFW1ZXDEY4hGwohEE4jBI8ZrPi58zRtw8wXz4WMI5bzz2iURXNoYHYi296fPlpgC9929HvzbDi/+dYdnIHT82qqYEcyZAbqeOeNEf8SGRWUJnF8fs1IJGRmH2wtfdRMaxGFZc9uHsfDC21G7fDMq5q9Cae1CuEuSxlr/1aVSHJqmDdeZ7Ta+6c/NfnZnMXbtz81BTSQSpot1MDjaR7pcnd3idooJKUxyK5f+/n40t7bmwRboNsVpCzzltabO0LpD65CGc65CWf2SgfpF0X9LJa1y4TrUr7lUtnudqZt0P/3N7uDHfzI2GqhrSVkcZS7RMOIqq/+sPnU+eO+6kDm+HlsJRm14Wvzv/9rjMUuHFRVbh0/WeeO4Yt6gsC825oZIdjeitmkpVqxaisUNYoS6D+OV7S/h5e3bsV2WV3buw57mKMoaFmH56nVYVO1GOYe85g2NhremOoZ5JQkTUOCJ0y682u7AaX8yavWezuRY5N9ZLcNNpXGsqoyjPiNA17Fehxm3rOHttZuHHpeQkXCJw1G16Bw0brgG9asvRvm8lfDVzIO7rBouX7kIaJ8I4GSe0391cfkq4K2sN9sZJ0b2a1h3BcqbVph95hKRaBR9/j4zBjkW50cpQuYqwVAAvf19pgWZtmA42iOpaslG1K+73NQZWndoHaItx05PyUD9oui/muYqqTCiWrfTukn3azr3OvFDl8LpHXucJ5nbXNQQM1MyaeCumLjCKZ96MmggXW3M0mGRddaxNSiX9g598JgbR3rspifnjo5klGyNv6dtiueIf1+szAmRbC9fifnzF2Hd4lI44yE0H9iCxx57BI///jFZHsUTTz2Np3edRm/UhvLFG7C6qQS1pXPj+8F0sLpKBK83bsRtUMqSRstLR4WzFjjtfh2Rwl7lTmB9bdR060inK2zDYSmkus2S8jhWipAmJBsOl1ecjSUicK/Ewgtfi+qlm6xfxofut+jSu1C35lKU1C40x50rhMIhE8WaY5AJmdv09vWZD2ZhTvc0DK0TypuWY96512PB+bdOqq5ZfNkbULNiM3zV8+S4HusXQoaiYvaC+thAfJ5owpY1AvV40FlmtGHq7hVhnFubFL06D7KObX7qjBMPHk367eqHa6/OA9120zNUWVYRNzPUFGP/kDmhBKs3LEPDgjrURYNA23Y88PRJaOeA5PuNIxboQM/L9+N3h0OyXoI169ehvjE5hmS2UMjBu25ZHEG1Na4hErfh5bbhhVm7i2grceq3NSKA52WIZOWZs1o4HWa+tvPSghUQks6CC2/Fmls/hNpVF1opE8dTViXOz81YffMfmePOFaLR6NDpXQghc5LkfMjDg/eQZF2z9vaPoXblBXD5dO6VybHwotux8ob3YL7UOYRk41bxqdX/1eBZiorZh44PbXwaLxc3RvGpTUFz7BTPNrvw3/s8+MauoR9sdKqn7eKrtwaTEnJeSdxcjzdjiGQxkJNInmwgKefia3D7+z6JD33qs/j0Z/8cn/nMZ/GZT34Ib7llEypX3oG73/fH+Pin3o+P/sGNaLT2yR+NWNpQjtoyFyIhP47tewYqhYeiLzYqvx0zv9kbFqCmrBLzzG/TTyFM+TQRDvU4xizIW1uS45I1oFdFlijWGnL+VJ/djJW4cxkrbTKcxZfdhcWX3pX3LmsahEWPq8cveLKG5M+SNmw7Xc9Im/CxCCEzTi7lV7fJagsymPCxCpNUXWOz57e9qbRuUfHUNWRKOdJrx6+PT2586AfXh/DRjUHctGjQp9bxzX//ohcPnxjus+scydq1u6V/sO1Y/fGUaC8mprQl2eb0oPSCt+MDb7sc59R6zQNM6NRNYVlQhiWbbsMf3LYCi6u9mLohwHXw+RxwucKIRgNob8nS+mhzipKvxTkbl0C/l9jcJfA6XOCokJlDxxtXZhHJWjh1fMSeTofpjp2aa5kQFcUaUVSdi6lEj69jzmz2Ag7wp4OJhpElbdh2up6RNuFjEUJmnFzKr26T1RZkMOFjFRZOb5mpA6ayrtH6RY+vdRoh6VzYMDgGuFV84pdbJy7lNIr1O1aHsKFm8JgqkDVi9WhjnE/7bWZscgr1xX2T6/E9K5k6kWyrgtOzGhef1wSfrEY6d+G5h3+JX/7oB7jvRz/EfT/8Pn767HGEPW6xl/Zs5jZPlKHEaYc79S4H80GS0iaULb0A173hTlwxLyXVXXC4RFjPneGHU0q9CF4drxAQPdsRGv1Nt0mBH4u9nfaBr1tXpYXLJ3MXjWJdUrMAiy6+w0oZm0igB807n8DeB76CjsOvIB7NvWfCiuvvmVPjkwkhhCQprVto6oBcCfu7TB2jdY3WOeNB6zR3KaNek/zzgfUhXD1/sAU4GLPhydOuYd2rs9EWtONwdwE3FOTIlIlkW1kFXAuWYmm1B/Z4D468shtHjxzHiVOncebMGVlO48TBV7GrJYRAJD6FItkBh80Ge+oEA42TdniaVmPx6nOwacMqLF9YC0d/H9RNTohIdrlFWKu6J5NGAwLo89dB/pHMjxQZhHOIxdUpQvt4XzLrFnNUPZI7Lm8ZfFWN8MqSK9GAH637X0DXyT1o2fuMiOThAzFGoqR2AcrnrTARtAkhhMwNtI4pa1pu6oBcCfW2mzpG6xqtc8aDnk/rNruLU66QJDpFagptfNIeluNBo1avrIzhugUR1HgGo1hrD80HjrpwwvKvR8MvYkmnc02hQyAHdFYRMb4nOw6clWUoWb4Q9Q4RneFm7HrxINq6AwiliaDwmR3YdrwPfTrqfDqxOeEpq0Td6vOx/twNuGiNGL1wJ06e6jBjkiXLwOl2wMOGollJIGZDtxRoDfbVyGmg5jzaE0Wn0iipW2il5EY03I+uYzsQDfrRtu95xKLji9xau/J8cV4arDVCCCHFjkayrpi/2lrLjVBvh6ljtK7ROme8lOkUhN4yqeuKUIWQcTM/LahtT3iw0ShXnLYE1lXHBrpYawvykV4HnjrtxG9yDACmfrgK65R8S4rk4UMkC50pEskOVJaWYPm8KrMWPr4HB6LyULM8v/5AGHFVO9OJewHOv/sP8IaLlmJjXQLhtsN44f7v4cFd/mG9scnswx+x4WzAbqJhv9JehIMgyLjQrmh1qy/GggumN/J008brRZgvstYKjVxtbi7b5fNYhJDpJdcyni9bkOuxZidVSzagdsX51tr0sOzqt6FiwWrOn0wMOmVqikDUNu6W5HhCfOi0Y2xpduL7+934j925Tzumfvgp/6APrseLxovvI84UieQ6eF2VqLGi4Z9t3pf8Y4axucrhXHQb3v2ht+OqJi/QthXPPfxzfP9/fo7njhdnROliZE1VDLcsipjAXdusaNhk7uIuq4HDXWKtTS8V81aieulGa62QyLUyy2W7fB6LEDK95FrG82ULcj3W7KNh3eWm6/NMoEN7nN5ya43MZTSoli5v+m0ZvrJj/F1edVjj1hYnbn6gfOBYE5lCSqeASu2vx9I5lYsN29oLbxjzk974p4BqxMING7Dhuotxrviux574B/zoeeunTC69B+84rx4LSnrR33EEP/7O79Bs/TSMpXfgA29Zj7LAIezeugNbn9uDNuunkbkct773IiyuK8Hg6MEgDj91Hx7a3ow+7dCfwjp+OTpx5LnnsGfbK9jdb/02ErLPu+5Yg1pHKzqPHcBDP3tm5OsfB5OdduvOO+/CmrVrrbXc0bkQ7/3SF6y13Nn51m5T6P7xJa+JPp3Ot6/3m64dh3vs+K0URJ13bSRevyxsou0p/7XHg3tfGf4crl0QNdvdsDBiCqZ+zRov7//AB1FVVW2tkULmyRNAzFdvpmgaD71nD+GVH/y1tQZc9Ef/Ao8I7vHQc/ogyqJtuHLl7B6b/NOf3IdDhw5ZazPHZz7759ZfhJCZ4J/+8R+sv2aO2to6vPd9f2StFQ73v9KO0nmrxi2U2w5sxd4H/9VaA6785Hetv3LH33YCTa4+bKy3EkjRcX3Ld7AwsNdaAzb8sDhinjz42l4sLR/sIv7dJf/P+mv2MwdE8oW44T2XY2ldKWo0LFeoGU8+/Aj2nmhDjwjkuEaTSjEgkltw8Ikt2P3CTuwfa8jrLBXJlZWV8HqHH2MsEokEWlparLXcGU0kf/q8AG5dEjVjJ3TMw5eyCN8Uf3ROEH98bsgE5/quiOlvZun+8e61IdyzOozdnQ586pkSRCYwLLm2rg5OB1uhi4GaC+9GWdPKGRHJ/R2n0HdyF7p3/s5KmZ10dXUhFMo9MNlU0dg4M60whJAkzc358FAmh9PpFKFca60VDnWXvh2lDUvhLhvfB/Z8ieTeo9vRu/8pK4UUG3937ilcWuu31opXJL/m9+Mb0z+TTJFILkPjuk1Yc9XVuFRsSduL/4lvPdJq/ZbBlIvk1bjiHTdiZWMF6hK96DvxFH7+mx1o8WdRVqtej4+8YR1KYiew+4kXsXPrHhyzfhqRWSqSp5vRRPKHNwRx1/KI6WD1SrsDfyLCdiQ+szmIe9aEjAD+8UE3fnxoaETHJVLQdE632xZH8IMDbnx15/g/BJDiYt3r/hjl81fCnSXSdLCnFYGO0+hrGV6SNZjK2Vcfs9aAhRe+Fg7P0JD2TneJiWLtqaiHy2eNH0kjEug1gVj2/ebrVkqhoGY/s8tjtrRcyPVYEz0+IWTqYLnPlfPv+QcTJFKnHMxEI1gHu1rQ337KBIVMp7/tFFr3PWetiR9zxRutv4ZSuWCNiZqt8zBnEuxuQcueZ3D8uZ9bKaTY+OrVflyTNq1psYrkQrqvKepA3odQxI8ufzIMVkXNIrjFRmYzkyZa35Tazw70BqIIRhKIR8PoazuM1mwCWS7CVeqB6ZUfDiAUi2CsntYkN/oiNsTkkVe4E1hUFofXoZVmdlJR+0722dGeFl4+xYaaKBbKNuG4DfsyxDiZm2gwE4czexf+/raTaNn9NI4985NhS7pAVk5u+9WwbU5ufQAdR14xDlA2XL5yuEqSAQoLipGL4FASmRsm14dEWc35WNa/hJDZQ9ZymZFo7MDwDYcFW861jA+zK4WB9lbKJpAVv9Q1bfu3mDojsx5JF8hK5u+pRaeHCvV1WlsNxeEpkXNzXlIyftTn1hg+uS5VnsIsn1PBlI2y7u0P4vjZDvO3e8FaLBU9480iht0e91CHK++04VS7CvYoXGJgFiw7H8Nnm9PzOzB/2XzzW7yzGd2BXozQ9k3GyaMnXegO21DiTGBeSRwba0eOIa7jjJVD3cno1Zlc0hjDiso4+qPAI3JcQrQFeSTHRccMt+7bYq2NH3VYmnc+LmL7hJVSJGS1uVnShm1ng8NuN90lB5jwsQghM04u5ddsk7mdDU6HE470YUtz2BZoj6K2g9tGFLm5cObl3yHYnd3z1CmgnB5GtybjR33ub13vz3l5+6qZH5o1W8hJJGfr5putO3A6sbPt6N+yE/t16lH3Etz6ruuxcmEVytN8K+fq2/DWzXWoL5tasdO+/QDOHG9Bi9MHNFyMN12/BHoZSTNth8NXg8pNd+CW1XpPfuzdvgMtp2du3M5Yz7bQMGHi25xmLjef1Kd3LksK4XTKXQnTLTvF46ddpst1JutrYqZlmgKZpFCnJBrK3u+jbtVFWHzpXdba+PFWiH1aexl8NfOtlKFEgn0I93dba8WPxjmoranDovnjm5OaEFJclJaUYsG8haiunDsBMLVHUSySfdhb5cK1qFl+nqkzJsqqm/4IZQ1LrLWhhPt7zPAeQsZLttbi0RYySE5jkpUJjZF1uIFlt+ADd6+3IkvHEIvFEI3KS7A54XGLVNX3oWo1KqJ6SsYkJ3Ev3ITGNRfiDRc2wHTMjEYRlmtJwAGb3Qm3pbnad9yH+x4/jt7+4UIuK1MwJrnQxiMro41JVuq9cbx5ZRgf2pD8QqXb/vKIC3W+OGrkhTSVxHHTouQz13DyKpJ1ovJ0NKL1RzeGsLfTjl8ccVMoE8OGu/8MZY1L4fSMbxqofATuUpHceXQH9v/m362U4kWd4nkNjXC53AiFQzh87Ij1CyFkLqG2YNmiJYiIH9Xe2YG2jlw9scLm/Hf/P3jKa+Bwja8hIx+Bu1Qk69Cho0/90EohxcZUjUlW4XtRQ9pMPmlc2BCTc0ZQ7UkgJmpQe3DqrDH5hGOSRyImouf473Hf/VtxqCsEf9QmgtQlglQW9OP0vidx3/ZmtPlzFKSTINK8D2e3/Qo/+PUW7G7pRczugMvthttth8MWRKDrBF587Mf46ZMn4A9mz0xk4nSEksJWg3Y1B+zYUBPDx88NmijVdywN49LGqEn/SxHI2j27Nzy8O9ZbV4XNWImjvQ4815zWJYHMaTTqZ3gSXdwmQyzUj2hBft3PefCg+a/P68PCpvnwuLON/R7fsQghs4lcyqVuk4AOjUvZguwUty3QeiYe0e6R00+g8+yIXbEJGQ31rdWvzlx2djjwmgUREy9I0RlovvJqcfVknSxTK5LVEIZ70XlyL1594Vk8/8zTeMYsz+CZ57Zg+46DOOOPIpw+DdMUkYgEEelrR9vxfdj14vPJ63g6eT3PPivX9sJL2HfkFLr6wkOnhSJ5Qb9QtUpBfanNgW/t8Zio1c+cceGJ0y78/pTLTGSu6drC3KuBvjJegX4JW1IWNwG9Tvrt8Ms2hCjBruYZ64amkUz7mou5RdUGt8uN2uoauFwu4yQTQuYaNtjtDvORLGULJkdh2pGuE7sR9s/MB9lwbxsiM3RuUtho5131qzOXy5uiKBeB7JDiqC3I6n9vFx+dDDLFItmi9yQObH8eLz7/DJ4zovQZPPv8Nuw61IyQiKFpC3QYiyDefQpHXt2G55/V65BFBPtzIti3bt+Nk20Ba0MyFYSloKpQ/v5+N76z140fHhy6aPppEcDZWFsdM4V5T6cDp0QoE5Ii0HkakRkYF5yIx5JzV549bKUUEmM7qSqINSiPdq2sqhite1SuDi8FNiGzj7HLpV1sgQrkstKyPNmCwqTr6A4Ee9qN7Z9utBV5pFkWCBkPdimmtd4EbluS7MWrIlqD5T52yjmiDz5XyflpTCR4Fxk/c+WZtohY3tXhGFj2jzGd03ULkl3gt7Y4cLiHhZgM0nV8t+mKNt2E/d3obz8t5z5jpRQXRiD7SrCgaZ6VQgiZi3g8XlRXVqGpvsFKmZv0tRxFQHsuBf1WyvTRe+Zg1vn+CRkvPmcCb1kZMsMelc6QHdtanXjw6PC5f+Y6hak2fEtxzhW34R2f+CT+WJZ335Q9GuDUUI2Khs246g+T5/7ju9agyevMMq1U/pjtQbumg1TQARXUGi2bkHS0G9yZVx+11saPRiS12caXr3pO7Z+xsdDTQVlJKZoamqw1Qshcpa6mDpXlFdba3CbQcXrcUwI6nO5JRb0+/vzPjTgnZLKUuRJYURHHh60gusrXd3nMkEcynAJVGw44HG7zdVMX7zR//LDZ7fCUJM+tEbo5TG/qKHUmTFRrHZOsgb90vmVCMuk+sQdnX3nMWssNb2WDmXJDnZeG9VfB4coWlCo7wZ42HPr9f6P75B4rpcDIOsZlguNecj3WtI2rIYTkzHTbAt2mgG1B884ncOKFB0wdkCueymQdo3WN1jnj5fhzIpJnoLcUKT50HPJnNw82vH1tpwePn3LiBIcxZiXnKaCUkboCT6ql89J78I7z6rGgpHfsKaCcpagocw1T9vFwH3r6pysitR12hwueMh886XotEUMsGkG/P4iJjlaZkuc7TYw1BdRE0bD0H90YxFtWhvHRp0qwTc6h8yQTkolOAVW97DysufWDVsroJBJxE6k0GvTD4fYmp5DK8YvXkSf/F2dElMejMxPpdDrQsYcNdQ1mNoJ0YvE4p4AiZA6xaP4ilJWUmCEY6cy1KaBSeCvrUbvyAiy7+u1WyugkYlHEIiHEwkE4vaWmvsmVfb/5Olr3PmutkWJmqqaASqHTrN68OIJr50fgkaL8arsDH3yi1ATCzQyWm0/mzBRQUyLWjr+E7VuexBNPbcGzLx5An5WclagfPV1d6MpYpk8gK+JYx0IIdGdcR3cveichkEeiULpaa9RpDR8fzXNB06h79b6EOf6+TgdCMQpkkh11QnpO7UPX8V1Wyuho92p1VjwVtcZxyVUg6/G7ju1EIj6ddocQQshsQGdT0Dog57rG4TR1jNY1uQrkRCJhjq91GiGTZWFZHFeLOF5fHTMCWXn8lMv47VMpkAudmW9fP70Tu7dvxZatr+ClHUcx/eEQSD549qzTtCD3R/MrYrXwtgVs5vhn+u2IDH6MImQIGnFUo3+27d9ixgon4vnNLPFY1BxXj+9vO5n34xNCCJn9aIuw1gGpukZqn+QPeUJ7KIX7OszxGdGa5IML66M4vy5mxLLmVp1tZn+3HQ2++LCl1EXVnCIvIplRridPoT/Dv9nmw7/v9OQ9fHxnyGaOrQshuXB2x+M4u/NxcWTyO6VbxN9ljqvHJ4QQMrdJ1TWJeH5FhQbpOrvj96xrSN740IYQmkqSH/Y1u+p0rOdUx/DGFeFhi6aTJONWNIy0PH3wWRMyMTTQya6ffwGte5+zUiZOqLcDrfu3mAijetziIJ9OXa7H4tdpQmYf020LdJvisQVaJ2jdoDMshPt7rNSJc+yZn2Dfr76KE1vut1IImRyp4Lduq5u1DmPUdY1wnW1JzSZD5FnVzV/+V9bfORO7xmn9NYimOZ7kg50II7Ui83kSMnG0G5xGvW7b/4I4L12oXLjO+iU3NHrp6e2/xX4TOOU5+FuPW78UA2MPi/B6vCgtKR0WrEfHysViMXR2d1kpuQ6xyO9QDEJIPhi7XFaWV5oAfnb70HaVeDyOQDCA/kC/lZJLGddtissW6Ljhlt1Po+PIdkSDffBU1CcDQY4DFdoHfvtNMw457E/ZVjKXeO2SyJAAV1/bmZ8epuXuhAjfGHojtpyWfV0OE4g3X7x9dRhVnsEPY/m6r+lgXNGt08km7NjyOTH4LAmZImw2E6DL7nSjpGY+POW1KG1cAl9VE3zVTSitW2Q209ZiJdjTimDnWfS3n0KLCGMdGxaLSFks4ClLJgqjWxNCFEa3zg2b3WHqGl0a1l6GsqYV8NXMg8tbZn73lNeYf3vPHDBTOqUWrX/6O04jHgmZj5DF1NJOcucrVyWjW2tLr3LRTyoQyEOcH7c9KZRzJRiDiXidD3zOBH5ycx+WiPjXK4jGgc33FWl067Hg2OTxw2dGyBQiDocG9NLxyeqE9J45iPYD29C88/EhXbEdHh9OvfQQTr/0W7TseQadx3Yg0t+dHNc8BwUyIYSQ8ZGqa7Tu0DpE51Q+tfVBtB/cZuqYFKdefAjNpuX5ZamTDpm6SffTaQkpkOcuXaHkLDEpNtbmZ2ywBulqD9pyXvIlkBW9h1Q0bRXIOha6kJjw1Y7U0knRlzsjPSu2IhOSf9QJCfV1oK/5CDqP7jBdsVM43T6073/BODPdJ/ealmRCCCFkImgd0nV8J1r3PW+6Y2sdk6LtwFZT//hbT5g6yXyMJXOe5n7bEBGprco6BarHkch1hspZg12uV69d70Fbk5VwzIbDPXNEJBNCCClQsraOT7AFI9djsUWekNnHdNsC3Ya2gJBh6FjgdBH57jUhvGZhBPNKEnDZCqfMqED2irDXa9d7qLS6evujwJbm/I11ng4mPCY5BVtDJwafGyEzS3nTCmx62+etNWDrNz9hvuqTJByTTAhROCZ5ctStughrb/+YtQY8fe891l+EDEVbXj+6MYh1RTYNU0vAjq0tDnz2ufEFtJtpJt2SzG7X44fPhhBCCCGEEJJimwjJPxMhuatj6AepQuZgtwPf3efGva8UnvaZ0u7WFIPDGe2ZsBWZEDLbCEciQ5aILNFoxPqVEDIX0B4k2WxBPF5cLV6EzCT9URuO9trxvt+X4ms7Pdjb6UB32IZYAY1Q0EuNxGGuXe/hI0+W4IcH3KY1udCYdHfrFOw+nBt8ToTMDtjdenTcbjd83sFgMwMkEuIwx9Dn91sJhJBipqy0bFhXayVhhl6EzfALMjLsbk0mwpqqGBaXxVHqSsAl+rKQgnfFRVl2h2w43mfHkR6HibBdiORNJCsUgKPD50PI7IEimRBCyFRDkUxIYZLXtu+RxN5oXYznChTIhBBCCCGEEDL7mbYO4nNZKPMjASGEEEIIIYQUBnkXyaO1jM5FsTjaPbMVmRBCCCGEEEJmF1PSkjyWUJ4rYpkCmRBCCCGEEEIKiynrbj2WCCxmoTzWhwAKZEIIIYQQQgiZnUzpmOS5KJTHuicKZEIIIYQQQgiZvUx54K65JJQpkAkhhBBCCCGksJlykazkIpQLWSzncv0UyIQQQgghhBAy+5kWkayoSCxGsZyLOKZAJoQQQgghhJDCYNpEcopcBGMhiOVcrpHimBBCCCGEEEIKi2kXyUqu4nG2ieXU9eRyTRTIhBBCCCGEEFJ4zIhIVlREFopYHs/5x3NfhBBCCCGEEEJmFzMmklOMR1CmxOp4ROtEmch5KI4JIYQQQgghpLCZcZGsTLT1NV3IjkfMZpJ5nPEea6LXTwghhBBCCCFkdmFbe+ENCevvWcN4RepMQWFMSOFS3rQCm972eWsN2PrNTyDU12GtEUIIIZOnbtVFWHv7x6w14Ol777H+IoTMZmZFS3ImqZbZ2SpCZ/O1EUIIIYQQQgiZOLNSJKczWwTzbLkOQgghhBBCCCFTx6wXyelMp1BNP9d0nI8QQgghhBBCyMxTUCI5nUwROxkhm89jEUIIIYQQQggpXGZl4C5CCJlqGLiLEELIVMPAXYQUJgXbkkwIIYQQQgghhOQbimRCCCGEEEIIIcSCIpkQQgghhBBCCLGgSCaEEEIIIYQQQiwokgkhhBBCCCGEEAuKZEIIIYQQQgghxIIimRBCCCGEEEIIsaBIJoQQQgghhBBCLCiSCSGEEEIIIYQQC4pkQgghhBBCCCHEgiKZEEIIIYQQQgixoEgmhBBCCCGEEEIsKJIJIYQQQgghhBALimRCCCGEEEIIIcSCIpkQQgghhBBCCLGgSCaEEEIIIYQQQiwokgkhhBBCCCGEEAuKZEIIIYQQQgghxIIimRBCCCGEEEIIsaBIJoQQQgghhBBCLIpGJD9z9ui4FkIIIYQQQgghJJOCE8nZBK8u4yXbMXQhhBBCCCGEEDJ3KQiRPJ0idjrPRQghhBBCCCFkdjFrRfJsEKuz4RoIIYQQQgghhEwfs04kz1ZRSrFMCCGEEEIIIcWPbe2FNySsv2eUyQrQK5qWWn/lRj4E73jPSQiZPZQ3rcCmt33eWgO2fvMTCPV1WGuEEELI5KlbdRHW3v4xaw14+t57rL8IIbOZGW9JnkgLrYrTzGW85OMYbFkmhBBCCCGEkOJixkTyeMXxZMRsrqSfI9fzTETkE0IIIYQQQgiZncyISM5VVI5XsOab8YplQgghhBBCCCGFzbSK5FxbXWdSGGcj1+vJ9f4IIYQQQgghhMxOpk0kF6I4zmQ8YpkQQgghhBBCSOExLSJ5LNE428VxJrlcL4UyIYQQQgghhBQeUy6ScxHIhQqFMiGEEEIIIYQUF1MmklUgjiYSc2mNLQTGuo+xngMhhBBCCCGEkNnDtAbuSlEM4jiTse6JQpkQQgghhBBCZj9TIpLHakEuVor53gghhBBCCCFkLmBbe+ENCevvvDBXBXI6fAaEzH7Km1Zg09s+b60BW7/5CYT6Oqy1YkfNvi355whUlJWjtroGLpfbSkkSj8cQDodx/PRJK2XsYyXJdbvZw7zzbkDF/NUoq18Mb2UDbA6n9cvsJxGLwt92At2n9qLr2E50Ht1h/TLzlM9bieplm1Cz9FyU1i0quOeqdqK//ZQ82304te3X1i+Fytjlcn5jE3zeEjgcDislSTQaQVd3Nzq6O62UXMq4bqMUli2YDHWrLsLa2z9mrQFP33uP9RchI/OetSHcsjiCBaVxlLsTcBRIkdESHo0D+7sceOi4Cz877EZ3uDDLe15FMsXhUEZ6HhTKhMw8c1skj01VRSUa6hrgdrmslCSxeByhcAiHjx2xUooPFcRrX/sRlIo4ttmHCoNCJBLoRaDjNPb/9psIdrdYqdOPPtdlV73FiGR3WbWVWtj0NR/B3l99FcGeVvEO8+ZOzSoWzV+EspLhIjkSjaK9swNtHW1WCskGRTLJlVJnAk0lCfz9pf1YXxOzUgubg90O/OKIywjms/0zMsp3wuTtaimQc2e0Z0UIIWRmWXH9PSjRFs4iEMiK01uKsoal5r5mEj1/5aJ1cJVUWimFj+YTvS+7vXBawwkhs5ONtTF89vwAVlcVh0BWlpbH8IblYbx3XchKKRzy0pJMgTwyfDaEzE7Ykjw6c7El2ekpQWnDEqy97cMDQs7fcgz+tuMIdJ5FPBY1aYWA3eFEWeMyVMxflbyXRAKRQA/2/vpr6D6xx9pq+lBxrM/V6S0zHx9i4SC6ju80LbGF9Fy1a7i3og4ltQtMV3wl0t+NfQ/9h8knEX+3SSsm2JI8OdiSTHJhdWUMr1kUwVtXhlHrTUqzR066cKzXjp6wDdEC6aiiHatddpiW8BsWRkxaf9SGQ912fOkVL7a2FM4HxUmLZIrAseEzImT2QZE8OnNRJHsr69G08TosvOh2sx7qaUfbgS3oOPwyepsPIx4Jm/RCwO5yo3rpuWjacK0Ryy5fuUk/ufVBHH36PvP3dLL0yjcPPNdoqB+BzjM4ue1X6Dz6amE9V6cbpXULUbV4PRrl2WqeUU69+Bu07n0OfS3F11OMInlyUCSTXLhzWRg3i0i+en7yo+FJvx1feNmLXe0OtAVtiMQLY1yvTS7TY0/gSrmPT58XRJMvDqeI5na5h18cceNeEcqFwpR1Dqf4G4TPghAyq8g6dnKC30tzPVYBjNfUlmQVPynOvPIImnc9he6TewtKyCl6ve0Htpl76Do2GLQr/f6mk/Tz9p45iNPbHzbXV3DPNRpG79nDaNnzrAjjwaBd2lLuLi3AbuTTbQt0mwKwBYRMN2ur4lhRGbfWgO/s9eCREy6c6bcXjEBWtHgHYzZz7XoPqaBdpS7g0sbC6TWkTKoleaQWUorC7PB5kRTa+lC76iLUr76k8KK7xmMmEJAGAGo/9FLBRndlS/LozMWW5IoFq7Hx7j8bKI/bvvUnCPV2mDxfqGjLZ+P6q7Di+nebdY3O/MxX/tD8PZ1c8fFvDTxXbUE+8fwvEIsU3hi1FDa73Tzbyz7yH2Zdn+uBh/8TLXufNevFBFuSJ0cxtSQvuPA247f4qhphd3lNOSgIRLmpHdeI/637t+DM9t8hHkt2BZ4tfOVKP65ZEB2IYn3xTypMN+VCpsSZwI9v7sOS8vhA1OvN9xXOx8S8524KvpEZ6dmM1h2bFBfeinosu+qtWP+GPzX/ajfIQhLIio4ndJdWmfF4eg/nvf2vTdRau3OomCKk0LDp/9LKo46bLWSBrGjLZ/qY35myN+nnTcRiBS2QlUQ8bvJHCnN/2s+QkCJDe9hoRHqt61N+i0PSCkYgK1I2tYzqtes9bHrr/0XTxmuNLzNbcMjjTJ/mqZAEsk5T9a7VIbNcv2Dw44PeQ6olVu9GxyoXEhO+XAo7QsbP8mvfgbo1l4hYbrBSCh+dJmflDe8xX5YJIYQQUjxULdlghKXW9cVCSd1CzN98syw3WSkkV9ZUxXDz4gg+uD6If7myH4+/vgc/vKkPH90YMulrqge7jBc6E+puzW7Dk4PPb26iY/JW3fheuEoqTDc9pW3/FjO+bbZ1+xkNnerEVVoJX/U81K4436RF+ntw/PlfmGi1GgW4EJjb3a3V7I/+lTr37tZjHytJrtvNHJUL1mDjm//SWgO2fP0jZmhBodO44Rpje1LMRHfPKz/5Xesv4MSW+3Hs2Z9Ya4VN+n3tf+gbaNnzjLVWKIxdLnPvbl08tiCfFHJ367Km5WhYcxkazrnCRKZX1G/xt59CLBRAIlEYPW1s2pIsvku53E/d6ktMmvYE6T17yAQz7Dq+y6TNJF+92o9rrKBdyoYf5q9bcpU7gRWVMTMHc7VHy5/Ud+5BMRuK29AXseFUnw3H+xwmonY29DjvXBPCWhHKjXIsjcLd4Bs8zvPNTjMf8k8OJX1c5cHX9mJp+eA2+byvqYYieQYoxuenBUYL2Rm/zQzYzxfaNWNFRQxuqZtfbR9aQRcaS696q/lqqVOzaFfDcF8njj71Q3Qe22m6RBYKev2eijrTbWnxpXeJWG4y6a37npNlCzoOvWTWZzsUyaOXU4pkiuR8QpE8Wxm7XFIkT45CFsnzzrvRXH/lwrVmXT+Cq9/SI+IyGugrmOEoNpvddLeuXrLB+GLeqgaTFuxpE9H/grmnmSafIlm7bbvsCdSIiNWu0HXy77m1UTM2uMGn5U/yZZq4DURt6ArZcKjHjn2dDrzS7kRXOJmm00+lqPPG8f71IVxYH8NS9c0ztPRvLIG8RcRyikIWyePubk2BPHlGelYjPdtC4LPnB81E4fNKk4UvX1R74ubY/3x5v5VSuFQtWjcwhickhvn09t+awFeFJJAVHd+oFWX7wW3mHlKU1S+FryopmMlsJ58Oaq7HmjtOMSGFA20BGZnyxmUm5kiKlN+i84EXUryGRCJufC29dr0HDbSnuLylxjcrNrzOBOaLOH79sjC+fb3f+NDvWhM200utrY6ZRYVzallUFsfG2phsHxnwud+5OoRzZLt02oJ2/OduD357woXO0HAJ2Raw44gI7WIhL3dCgTx+iu2ZXdQQNV+rdG60qUCPrefQSHmFiolibUsWOW1FLrwWh6HEo9Eh96BfZj1lsycIBiGEEEImjsYaSQ9uVeh+i6L3kApm6HB5jW9WTFw5L4LPXRDA/bf14cMbJhYgUX3ut68K494r+/GzW/Q4g0EKr1sQwcXijzemtUSn6InY0CJCuVgonjspEgq5NXkq0PnVvrbTY/6+c1kEFe7CFclDorsmhkZGLUwSQ6O72h36H2uNEEIIIQWN1OvpUawL32/JuAcr6nUxoMLWtBpfFsDtS4fGuTnlt+OHB934/As+3PNoKW5+oNws2vX5ul+W492S9jfbfPjFETe2tgw+j3JXAqurYkZs//Z1vfjbSwL4+LkhXJJlvuNHT7qwt7Owh0VmMi6PNpuAYyvyxOGzG5tYwoaz/clsen59FL7isGWEzCw62/8wJvgBKtdjZd2OEDKjTLstkHXaAkLyht0GzCuJ49+u7jd+cpnVmBSXf86I/3z3Q2Vm+cJ2L+4/6sYrbU6TrouiXahflrSfH3bjb7d58ZEnS8z2Oq44fTyynuO1S8IDjVUaf+ilVqfZVo8VLcJizWYfMquJSaHrCNqwXQqwRtFbXBYbiMxHCJkgWedzzW2coAbt6untsdaEXI+VdbviRCPY1yzfPGypXroRFfNXWVtlR7drOOeqYctY+80l9FnULNs07PlOZNFAhHOaSdiC3r4+BIMBa03I6ViyPodsASFTjduewBuWR8wYZA3YpaVLW45/d9KFL73sxck+u4lcraI2Ek/61SqgdVH0m5Wm6W+6jc5trPv89JDbCOdUEC4V4xpMV4+vjVfPn3Xiv/Z4zLbfkn91vbm/uMp2ziJ5VnQD9jVg0bLlWCrLsrRlUb3P2mA6cMHpqUDt4qHXsGzJAsxvrMJg0POJU8xdrrX4eBwJVLqTgQJ00YJd74ubtEy08PqlwG5tcaDUmcD6mhjmyfaEkOlHBbK/vx+9/j4rhWRDx7mV1M5H3ZqLhyy1Ky9E9bJzB6aAy8TpLTXb1a+9bNjiKa+xtiKVi9ahdtVFw57vRBabY2j0dpIbARHHff5eBMUmEEJmhhqPRq2O4TULI8ZHVjRwlk7F9NvjLhNtWn3o8aL7PCui9wXxvY+LCM4kGBOhHLDhidNOs+3DJ1x4qc2B5iIaj6xM6m6mvbtw46W47c1vwd2yvCltue2Swch7U08ZSqtXYfMdQ6/hTW+4ETdesR7V1la5Mte6XOuXKI2kp2McXrc0bJYbpHBf2hg1aSPxnBRWRcPj63RThJDpp6OrE53dnQiF6BiPhkZO1bnDG9ZeMXRZd4UI3ivgLqmwthxKad1is51OU5K5hP1prfdzHJ1zvn7NpcOf7wQWu5MieSKcbW1BX78f0ejwsYmEkOlhU10MHzs3NMR/vu+g27TsqnCdDDoFVAI2VGXpvak9O9OndWoP2nCo22H+LSYKVPLHEIuFxVELmiU4qRl0nLDZ3HAmY0PlRELnCe1PnjsUjnJ4TY40lsTN1y4d/K/BBTQQgC6f2Rw0wQB0SY+gl44GEtCl1JVAeQEH7yKkUDly4hi6ursRDhfWlGUzQSTYh+4Te9B9co+VkkRbkL0VdVh06V1WylAWX/Z66690Emje9dSwYxEyU6gt8ItAjosvRAiZGe5YGsYbV4SwuW7wQ9V7His1wbeO9U5e3ql//hHxyW8Uvz0TDei1xgT0KvxAbqNRmCI5cBS7n/k1vv8v9+LLsvz3w8esH8ZB6Qqsuf5NuP0PPoj3fuCduHuzlT4mnehp2Y6nvpU895d/vg9ng1HQbRydddUxM4/yl65Iznes4yU0avV9h9ymW0hrwG4i82mhVLGsf2eiXa7LpGBeVB81rc+EkIkyvg9NKac4lnVezFyPNXc+bul8nMGeNhx/7hdWylC0u3DlQp2bM/nV3eUrN+vJtAzksZ14/ufWCskn+vEhHp3rdUnu5TIaiw7YguzkcizdZu7YAkKmisvnRbGpdrBOVp9aG5N6I5NvzVU//O2rQmaIY4pU5Gsds6yoUNZZZ3R61mIlJ5FcFFGt7S44SupQs+5a3PoHH8OnPng3br9gBdY1lKNshiOWZ3uWxTYu+T1rQ7hlccQEBzgtAvl1vy7Df+z24u9f9OFPny3Bp5/14cXWZJfqC0QELymPD5vu6cGjbvSGbVhVFce1C9jFi5CJk1slqi1FR08eH8UpVnKtkCdfcRca3af2omX3M9Ap39Lxlteifu3lsFkBjHw187DokteZv9Pp7ziFE1vvF8HdbqUQ5eDvvo2Xv/c5vPSdz465HHzkW9ZeQ9FnevCRbyMWTgs8NSfJrVx29/XixOlTebAFus3cswWE5BMdqqgtuZWeBKJSvaj/rD51Pvj8RQFzfD224hfR/YD433+91WeWVHAupyhIjSmUOd1UMVGg3a3HSdUqLD33clxz43W49vxVWFzlg9MWN92k+T1z6llekQy2pa3AgagNPz7kRjhmMwVbF/3qdbzXYcZRKDrWYWNtdFhrclvQhqOynbKyMmaOSwiZGjRIV2d3F4Kh4u5ONaVIJdN+4AX92mAlWIg4Lq1bKOJ4PkrMskDWF1k/JlHx1t9+Cm37ZX/WVEMI+zsR6usYdQn3dyMei6DxnKusvYZydsfvkYjzY2su9IpA1kWHmBFCZp6LGkQgi8uscjWasGFbi8P405OhxJnAG1eETYygVJRsE8W62YkfiX+u0a9bAjY8c9aJQz1J+ajbrBJ/vFiZGyK5pBE185dj1erlWNbgQ7TrFA4dOIn2YBTBSWYqMjbaXUOnbXJLbgtJWXr81NApN7Rga4AALYhdIZspqKsr42gqGfpytIvHgW67aU1u8MWxQraZi2jXzNL6JShtGLpo+mg43D54ymuH7eetaoDTW2ZtVdxo9GAVJeVNK8y9p1M+bwXKGpfBV91ktpvrhCMR9Pn7GJhnkvSePYT+zjPDWiw9lfWoXLAGFQvXoqxhKVwlldYvSfo7zqD3zCH4W09YKSRFLBIaczEfIqSMl2dMnaVd4QPyPjoOvWSlkLHoD/SbaNbRGD9M54qpa2oXSr2yUv5dYKUmqbTKvLdS6965Ude4S6ukbp03xPfQxV1aOWK0f8VmdyR9noz99JmO5fMUKzpf8cbamGl4UtSHfqFlclPZ1ZjGqRhuXRwxs84o2jD1arsDj55y4eW2ZAOV+uHa5fpgl0P8+WSLsjZoaXAvFdbFxtwQyTYX7FLQbAkRxb1nsXvrI/jlL5/Dga4geuamzppWLmmMmbELSiyhQnd4/3adr02j4qV+00KqLcqZ7JACe9JvN4K7mL9ejYZWvPM334j55900ZNH00VCBXLV4w7D9alecL/vOt7YqblQgazfXRRe/DgvOv9lKTbLo0tdj4YWvRd2qS8x2c52YOMTamkwmR7i/B237tyDY02qlJNEI13VrLkG9LBULhs+B3HnkFVletdbIeFHne/7mm6y1QSKBXrTuex797SetFDIW4UiYH8vGidYhTRuuxuJL70LDOVdaqUmWXfN2qX9uSda9NfOs1OJGP0LXr710mP9R1rhCxG72aP+KCmjj82Ts17DuyjF9nmLlksao8X+1QUlRkZyay3iinFMdw1tWhs2xU+zscOKh4y7cf2RolGz1w/eLr66NW4r66no9bsdwn73QmRaR7Fx8DW5/3yfxoU99Fp/+7J/jM5/5LD7zyQ/hLbdsQuXKO3D3+/4YH//U+/HRP7gRjdY+eaVrO3Y+9n187ytfxFf/8z48t6sZNPfTz6Eehylwo6HBuZQ6X2LYmGRlV4cDp/rs5guaBgyYi1QuWmu6EDauH7p4K+usLbLjLq0wFVXmfvpFu5hbkrWSLa1fjHPu/BTOfcvnsOiSO1Ajzol+1U5Hu7vWrb4YS66422yn2+t++iW76Mgakj9L2rDtdD0jbcLHmju07nkGvWcOG8GcjrYoabCuTGdPI1nromOSyfipWrJRRMitwwKhRYJ+9J49jOPPMRDaALmUX90mqy3IYMLHKg4cHt+Quma+COHqpRtNi3E6WufWr7vciOVz3zxY1xQz7rJqUx4z/Q/9QO+U5zYSdofT+DaZ++nc8eoLzXWO9Nrx6+Mjt8TnwgfXh/DRjUHctGjQp9YgXX//ojfrNFItAbuJLdRijU1W1B9PNYYVE2OK5MkE7bI5PSi94O34wNsuxzm1XvMAEzp1U1gWlGHJptvwB7etwOJqLyb3isfA34VgfwB9szgE9VwI3jUetDt1ZRaRrIVzb5cDezodpotHMUfVmwqsOEFzBnVGFl54Gza/829Rs/w8KzU3dHvdb96m601gpaIia0bIkjZsO13PSJvwseYOGiRKhXLbvuetlNHRqNj97aetNTIePGU1qF99ERo3XGOlDNK691mc2HK/tUYMuZRf3SarLchgwscqfCoWrMGSy+4ef10jzyJV12iLs6e8xvqBkOxc2DDYi1Jnhnm5deLtnRrF+h2rQ9iQEcX6/2zxGSE8Eqf9NuzoGGxAUF/cN7nG7FnJ1LUk2+vh8m7GDVctgY64CLVswW9+8E1888tfwle+/C/4yr98AV/7zT4EfV7Y7fY50u97bqJi1i1lyR/BQFS8kRitUKZ4sdWBHxxIfla5Y462JpOxqV15ARZfdpfp7jYZll/zTtM9W1unCJko3af2mW7XY813nJoTORIY2upMcmPpNW/NWlZPvfSQiOTn4G+dwJSRhIyCtgovvfLNZhjUZFh90x9h/vm3iuBebaUQMnX8fyKQ71wWNjGDFB1v/EsRyJ8TgTwWZ/rt2NlehL3sMpgybWqvKod79RLM15b6WCtefXInmtv65CUkkEgkl+CxF/DUoV50BxkMotjJ53djjZDdbY2F0CjXhGTiqahD4zlXm0Bck261kP0rF6w146n0uIRMlHBflwjlrdZadrpP7rX+IuNFh0uU1Q8PYqjjkDVQV6DzrJVCSH7QOmHeua+xehtNvq6pWbYJtSsuMDFECMnGijS/t0d84SPWrC+5ojF9tOX3YllSOVajWD931mkaoHLpNJ3uhys1DNw1HmzwlJWiemEDyuUM8b7TOHC0Bd2BCEQjDxDtPolDrQEENa44ITmi31Q6Q3ZTSAnJRsX81Sift9xE1MwH6ghpRGw9LiFTiatk5CA2ZGQ0+I+KZBUXmdFyOw6/DH/rcUSDfVYKIfnB1DVNy+HKU1wPnV1BI2JXZERlJySFL00T6xzGKnDHg82WMKI2Nc2qdtl+pd2BR066sDOtC/VoqB/eIX54R6i4/fApEsl2lPo8mF+bNBqR5mM4KQ80lOXzRCgUQUJDGxOSIyqOO6VgauE8lCVSNiH1ay6F3ZWfifVTaDRiPW5xkKvNzWW7fB6ruHGXVYmQu8hay868Ta+x/iLjQYOf1a26ePh0MokETjz/c8TCnOM3O7mW8XzZglyPVRiYOsGWX1faW1EnduISa42Qoajvm4p/l2w0Gp9QTSSS/nPqGLs6HfjdCRceODp6YN101A9vC9hwUHxwPYZOFxWTf4uNKRLJdfC6KlFtfVg727wv+QcheWBNVQw3L4qYr2A6gToh6egXeA2E4nB5rJT8oBHA9bjF8YU/10o1l+3yeaziRaeE0eiumRGXM1EHWaO36r8kd1bd/D7rr6Ec3/ILBHvaxJFjj7Xs5FrG82ULcj3W7CdV19jyHIhMI0Frt2u2JpNs6Jjhz73gw5sfLsO/7hh/Y0BYTKHOdXzLg+XmOHq8sWaeyUZr0D5wLbfKsY71TpGknEFsay+8YVTtP7Ho1o1YuGEDNlx3Mc4tAY498Q/40UhBPS+9B+84rx4LSnrR33EEP/7O79Bs/TSMpXfgA29Zj7LAIezeugNbn9uDNuun8bMEl7/zdVjZUI6aUDPOvPitka9xNOSa3nXHGtQ6WtF57AAe+tkzI1//GEwmkngmd955F9asHX94/Egkgnu/9AVrLXd2vrXbFLp/fMlrok+n8+3r/VhXHcPhHjt+KwXxv/eNLF5evyxsou0p/7XHg3tfGW4Arl0QNdvdsDCCmx8ox6kcgn1l8v4PfBBVVdXW2vTwbHjQOe48+ip2/Xz8z1kxwagueb2U3qEV84GHv2mC/oxE1eJzzFfvxg3XWilJNOJr6/4XzJi9iXDlJ79r/QXMs3dgmXOiJSA/HI014nRs6iKEznd0YKljZu9xvPz0J/fh0KFD1trM8ZnP/rn11+ykJ16CndEl1hqw5esfMeNZ84EGf9PyV1K3yEoZGRV1hx77bzNXcj7QSM+rbnyvtQZc7h49eNhUkG7/NML0sWd/Yq1NDm2db9p43bAAfbFwAH0tR7Hjx/9gpUwN6fZvlfM06u3d1trs5J/+cWqfRy7U1tbhve/7I2utcJnKusaGBOY5Ome8rnk1shR9icFATk/fe4/11/iYd94NpqeHTnuXztGn7zN2zt92wkoZisYX0A8Rq24aml9CvR3i7zwx4encLv3w1+H0iECxmAmbmMn1Ld/BwsBgTIoNP6y0/ipsHnxtL5aWD36k/O6S/2f9NfuhSC5SkTzdjCaSP7whiLuWR0zkvGfOOPFP20f+8qXbfnhDyEz19L39bnxLhHImH1gfwnvWhsz4CQ1TXyikO1NTIZI1Im6we+QSod2FPZX1pkUrnXyK5NPbH8bhx79nrc0M573jb8zUT1OFOt4vf///WmukmKhcsAYb3/yX1lr+RHLDOVdg3sbrUZ7RMpQM0pUwjuCwuZJP7DHl8uyrj1opEydTJE/U0Z0M6XYiXyJZ55+tWrweK294j5UyiL/lGPY88GXzwWEqSb+v/Q99Ay17nrHWSLEzpXVNIoG+1mMzXtdsettfmTHXKfItknvPHkK4rxPRULJxJBOdJ1k/hGX2wMm3SJ4Jm5jJV6/245r5g9OaFqtILqT7mqK28S6Eon3o6U+uVVcX9yTpJDeq3HEsqxiMypeNGm/ym82JPjvag8Oz58baGBaWxk13kYPdxde1YzKok62txSMtZY1LzRyixY67dGp7CEz18UnxMe/cG+DL+Dil6JRQZ1/9fdYWY09FLXzVjQzkNQIaKEmnecs2hluneeo4+grC/ZxGi0wdU1oX2OZGXZMKVJbNZ9GlYuGaYR8QCZkupkhlhBAMBdDekwyUUVK3GBVS4LONHnU45BLyO5yDzDJU8IZEG5e5xFksSaDWO/LYsFWVyd9OGpE8PGPohOcLy+JyPBt2zIE52saDtkZpZNeRFldJJRzu/Aazmo2kfx2eCqb6+LMdHX+nc9uT3CiftwqlDUvg9JZaKUki/d3oPrkPPaf2oa/lmFlPR8uzr3qeiapOhqOt8toqVVo/9CO8tvz3nD6ArmM7EY+GrVQyFdjFFuR7PG4hMbV1gW1O1DVOT6mZhSKbz2KWshpjC8nEUZ/7NQsjOS8a94ckmTJPpz8Ywtm2bhPD0Fm3BAvcdnjtGcbU5oDH46bDVeS82OpEb9gGtz0pkFNCOBOnZIML6pNdTU722bKK5HOqYyK04+iXzfS4hGRid44/AMV4mOrjz3bUXjsdLHu5YcO8c6+HLUsdp2PwAh2nEerrlKXDTFGUjsPtQ0ntAtStuki/TFipRLHZHahfd5kI5MHx4ymC3S3oPXMQvWcPm0jXYy1k4jidTjjmsP/GuoYUAisq4vjs5mDOiwplkmTKrFusuQOBrbtxQD/kuhfjprdfi+ULKlGe5ls5V92MN22qRV0pHa5i5rTfjh3tTpyQf3V+t9uXDi+A5a4E3n/O4BQdT55xYU/n8Jbic2pi8Edt+P0pVh4kO1M91UtxTCWT61wNQ7fzer2ora7FwvkLrBRlYseaC3gras14ZFuWKWJObHkACZ07Q/C3HMXBR75t/k5HI1w3rLsClQvGH4SxmFl0yR2oXrwRnvLhw0e05X31LR/E5R/7z5wWdmfPpVzqNkO3Ky0pxfymBaiqTO8SPLFjFSqsa0ghML80Pq6FDDKmSM4WOCpbgKlhxFsRDryEXzywC9qJzNNwCW59+/vx/k/8Cf74E5/EH3/yT/GpuzahUfQx5U5hB+3KhW/uduNXR13wOhMmMrVGvNZ/3yfC+DObg/jriwMmYJeiwbiyRazW7SvdCZzx27CTXa2Hcfz5n2Pbf31qxGX3L7+E5p2PW1sXL4Gus9ZfU8NUH396yLVlcnA7dYoXNs0XkZwpTMZ/rLnCqpuzR/DVKPQaaC8lFmKRsAkwlTU6vc024nHmKtrNmq1s+SKXcqnbDLUFyxYtgced2RI//mMVMlNaFyQSRVLXjI5Gt97x47/P6rPo8sr/ft74NmTiaFBd9auzLb844h6YZ1nnOVbf+2s7i39YXq5MbT+ZWBg4eD++8T9PYHd7EL0RG2wOtzGsHvTh2Cu/xjeeOYWzvRw3VOzofGo69dNbHy4zhfCihqiZ6ukT54Zwz5qQ6d6h6e95rNQU2q4sk6N/SES0dtfe1+Uwka3JUELiZKujPdIyV8bn9Zyc2nnZp/r4s5GUU+z1sPLMBZ1Te7Q5kVt2P239NZQTIziDqbmTCZlJdPxxyhaQqa0LtJfJXKlrokF/Vp8ltahvQyaO+tbqV2cuKp618anak/xYq363CmcyyNSK5BTtu7HloZ/hwZ/dh5/c9yP8+Mf34cc/exBPbDsMv7ybmWncb8HuR+/HIz/7EX7+wG/xxMxPkVb0BKI2HO214y+e95nliy97BxadFkrT9mdMH5VidVVMBHICOzucON43PdmWFCYaCGkqmerjzybUKVZh3FTfYKWQXNAAeaX1i+BvOz5k6Tm9Dy17nzF/Z0OjMevvncd2DlvYLXgQHc/ddXx31uc03iURG5xyhYyMxiEo8ZXQFqQxpXVBIj6n6hoy/bx7bbL3pnKox46HjrtG9MHnKtOjNkJdaD15DCeOHsHRI4dx5MgRHDl2AmfbehEVkWwNy5pmAug6cxynjx7GseOncHZoYFEyBWhXjr6IzQTc0jHHOq44tTxx2mXSu8PZu2GdWxuD15HA7g571q7YhKToEwES6m0XHyO/ERrjsYg5rh5/LmC32eFyOlFVUQmfl1+Xx4P22gh2t6Jl9zNDlz3PoW3fC6blJBu6n/7euve5YUt/+2lrK9J1bJeZPivbcxrvouWajI7D4YDP50NleQVtQRqpuiY1bCJfxCIhBOdQXUOmFw2Sq0FwL29KfiAMxmxGHKsvPpIPPlcpTLUhzpvD6YLL44FHFre+8WlDpzxwwOlOntvjssu69RPJGe3Woa3KqUWnfBqNC+qTgmd3p8MEAiNkJIJdGt32sDi/+W0h0iAqelw9fsGT9cvk0DTjGItDXFdTa6WMQA7HMszM19AZIdLfg47D23Hqxd8MWc6++phJHw39vWX3U8OWsfabS5hntEc/PAx/TuNd4tE5LpJzKL8elxsVpWWoqRpj3t6cbIGsF4ktSNU1qQB8+SIa6EPf2SKpa8isQuWKz5nAzYsjWFqe7MfbFrRhd4cDzzcziHImOamNCQfvmiq8i7Hmkhvx5g99GB+U5W3XL7J+mA6qUF5/Li57Z/LcH7x9FRo9TkxmIokZfZYFwvnW1FB7KZJJDpx44ZeIBvustfyg46L0uEVB1i97Q9NKS0rQWN9orY1CDscy8GsiIbOPHMpvbU0dKspz6O6fky2Q9SKyBaZOiOd30KC//SRObn3QWiMkf5S6Elgm4vi96wa7Wn97j4dxfkagQNWGAw4NAObxmsU7zVMd6pyXnpLkuT1u55TY+2KKbD0ZSq1o2AtK4ybQALuCkFzQOWcPP/59dBx+2UqZHNpqdezZnwyby5YQQsjcReuE/b/7T/ScOWilTI7T238rAvkBM+6ekHyjXax1LuQUX9vpweOnnDjBWD9ZKayncvR+fOMf/wFflOWf0pZvPHjM2mA66ET32RfxyL8NvYZ/uvc7+O+fPYNmayuSHzxO4MKGZFfrXx5xoYcimeRI+8FtOP7cz8wyGQ4//j848cL96Dy6w0ohhBBCkrTueRZHn/qRCNyHrZSJsf+3/2GGZfSc2m+lEJI/3rA8bJZNdcmemRrdWqd7ag5QII/EpJ5MXroJ7/4tHrn/Pvzgvgfw84e2iQSdWxRLV2vtBq3jGiLx/IpYhxyuzhs3x9dFAwwQkis6z2Trvi048Lv/Qs/p8X3p1+11v/ZDLyHUo8FZiol8jqHL9VjFMQ6RkOKCtiAf9LedQPOuJ8df1yQSA3WNfoiN9PdaPxCSP9ZWxXDTogg21g4GNP3FEXaxHoucRfKUdf/taUbz6RM4cfIMTp3tBGdMLsyu1toVWiNUd+W5pTcYBZ4+4zLH13m24/SzEQsH0N9xRpbTQxYNLDUa8UgEYX/3sP2CIgBjoX5rq+JCn0mwu0Wcj1fRsudptB/Yir7mIybysEYYTsSSFYb+Gwn0IdjVjN4zh8x2ur3uF+7tnDNzTBNCCBk/UalDA51nhtQ12hVbo1/rb0Prmh6zrbYYtx3cNlDXRPq7izbaugYz1Ho30//Qeni0IJuJRNzU45n7ab2uvhDJjRtFIK+sjKPSnTBx8/ziT0fjMKI5c2nwzczEvLMRtrGTvPC9/W48eNSF9mB+RbIKYz22LiRJuK8Tncd2oOvo0CXc12VtkZ1IyG+mkcncr6/5KEJyzGJFp4LSZ6aRhU9ue9A4Lzr/pL/9hHFg9MOB/qtz13ad2IO2fc+b7XR73U8r6eIjn+U012OxFwghsw/agnyhkdLT65qOQy+h5/QBqXdPDalr+lqkrjm2C617nzUBulJ1TTET6NQP0AeH+R/BnjYz5dVI6EcF9W0y99M6vNifWb7wOBK4Y1kENd6kL6P/7RHfel11DDcvCg9bVEyTJLa1F94wrra5bN2DGWRqYozU1ZrPszi58pPftf6C+Wq86+dfsNYKm/T70jFZhx//nrVGChmdH7mhrgFu19AuWbF4HKFwCIePHbFSiofKBWuw8c1/aa0BW77+EUQChd/9sXHDNVh143utNeDpe++x/po+0u3EiS33m0B4xUD6fe1/6BsmyF+xsWj+IpSVlJhp4dKJRKNo7+xAW0eblUKKjU1v+yuUNy231mbGdkwFl37463B6Sqy12XFfX73aj2vmD7aqb/hhpfXX5NDgt397Se6t7l/b6TFjlfPFg6/tHZhuSsnXfU0HbEmeZVAgE0IIIYQQQibLKb99XAsZJC9Pg/P8jh8+M0LIjKGDkoYxwQH/uR4r63azi4T+L218nMPthc0+tPWs0LA73bA7nNaa3OMo4/+mkvTz2hwOOFwea60w0akgNX+kMPdXAHl8GNNtC3SbQnxOhEwxsbgsaUWjxJmfcqJRrG9+oDznJZ+tyHoPqcEVejeRAuvJPW6RzJbOqYPPlhAyLWSd3H2C4wRzPdZUTCifZ3RMYaBrcCK/ykXnwFNea60VJmWNy1Bat8ha04jvMzNRYfp5fZWNqFiw2lorTFy+clQvPddaQzKQUGT04Imzkum2BbpNAdgCQqab1qB9SFyfq9K6Xhcqeg8+6xttOAYcL7D5mPN2tWwZzR0+K0IImX2oyPG3Ds67X7vyAhHK6+CraoQtrTW2ENDrLa1fjJrl56EsbUxh+v1NJ+nnLaldIM/2QnN9hfdcHfBU1KFi/mrUr7nUSgX6Wo8jEuyz1gghZHycEAF5Jq27862LI1hbHUOFO2GmQy0U9FKdcht67XoPZa5ki3goZjNTuRYS4w7clYJBpyYGn9vchYG7SCExFwN3uUurULNiM5Zf+66BLsodh7ej48jLZrqW0aKwzja0O7OK/IZzrhSR32TSdKqVw4//D86++nuzPp00nXtd8rlq93WbzQREO739t2g/+GKBPVc3yhqWoWrJejSsu9Kk6XM98uQP0HVsBwKdZ01aMcHAXXMXBu6aPq6cFzVzGb9uaRguSyv/6w4vtrc60BywF0xXZRXJGlH7xkVRfGxjsneNdiPXDwD/tceDHx8qnNlqKJKnGT63uQtFMikk5qJITnHe2//adFMuJnQqM3/LMbz8v5+3UqYffa7aiqzjpIsJnXv91fv+1nTXL0YokucuFMnTi0a3/qgIS52eqZhoEZG/tcWBzz43+MwLgQl3tx5J1LEr8chQIBNCZgcT+jY6ArkeK5/nnFr2/uqrRvjoHNvFgLba9p4+YO5rJtHzdx55pajmN9V8ovelrcmFyXTbAt2mcGwBIdPJNhGSfyZCcldHYQeMTOdgtwPf3efGva/kLyDYdDGpMckUyrlDgUyGRHe1DY2MWpjYhkZ3VUGR4CT0hUHuA5zCkciQJRIJIyr/DpLrsQpnUJUGYdIW18NPfB+t+55HoOP0jEWFnih6vSrgTr30G+x/6Ot49b6/M/c1k+j59zz4r2Y5vuWXyQ8RBfhc9T60G/6Rp35o8ol5rgUbsTm3cqk9SLLZgngs/UNSLsfSbQrHFsx5pF5PyLtPUfh+S8Y9SLmdTTbIH7XhUI8db3m4DF982WvEclfINiTq9WxHL1W7huu16z28+9FSfGevB2f7JyU5Z4QJd7dOMZogpgBMwmdElPPv+Xv4auYbgexvPY6TWx80DnihYne4zJjHNbd92KwHu1vRvONxnNj6gFknhY12rXSOEFRJu+6qk1zsaARjHdur3YNNgKlCisorzp92/9VgZLGwLgHrh5nHLs/U6faJs+qTZ+squOeqHwRTzzbS32P9ULzokAutt4aTQFREcmyIUCbFxFqp3zV4oauk0qzv+/XXCtpvUTTg3sob32tsu5bhUE8bXvruX1i/zh5qvQmUuxJwOxKwi4ksFCtpRKX8JxizoTdiKziRn86kRbJCETgyfDYkxepb3i/G+TIz76o6Vr1nD+H48z+Hv+1kQbWm6PWrePBWNWLhhbehZvlmk955dAda9z6Dlj3PmnVCCCGEFC6LL7vL1PFlDUl/VXtQqN+iU7rFwyHzwbQgsNmM71JatxCLL73LTN+m62F/F7qO78T+h/7D2pCQQfIikhWKweyM9FwokOcejRuuwbKr32a6+qS+ymtl037oJcQLKLqrtvx4dZ7TeSuxQESyoq0qp7Y/hI5D29F75qBJI4QQQkjhUrPifNPyqlO2pSL+q9/SfXIvIv29SMQL4wO/+lw28V1q5X5UJCvaI6S//SROv/wImnc+YdIISSdvIlmhIBwKnwfJZOOb/sJEd9WW2GJCxxYe+N23ZmwOVkIIIYTkn4Z1V5heYyV1i6yU4kC7WXccfhmHfj84Qwch6eRVJCtsUeYzICPjrajHvE2vQc3K8wfmLi10UtFdw/7Oop0ChRBCCJmL6FRJGk9lxXXvKpqp8XQ6vDOvPmpEsna5JiQbeRfJylwWiRTIJBe8lfWoXXUR6ldfgtK6RcmgQAWCdlHSKWU0oqt2FT+17dfWL4QQQggpVnSIlfotvqpG2F1e2OwFErHYCrjnbzuB1v1bcGb77xCP8aM+GZ1pF8lKsYrFuXrfZPxowAiHx2civGqUaEkx/y8ItLJJxE2wsWgkiGigz/qBEEIIIcWK01dm/Bab3QmbRqUvlMj04rcoKoyj4QCiQf9AGiEjMSUiWZlrgpECmRBCCCGEEEIKnykTycpYwlEpdPE4F+6REEIIIYQQQuYKUyqSUxRrKytbjwkhhBBCCCGkuJgWkawUU4srW48JIYQQQgghpDiZNpGs5CIuldkqMAv9+gkhhBBCCCGEjM60imQlV6GpzBaxWYjXTAghhBBCCCFk/Ey7SE5RCMKT4pgQQgghhBBC5hYzJpJTjEeIpphKQTre66E4JoQQQgghhJDiYcZFsjIRoZzORIXqTJ2XEEIIIYQQQsjsZFaI5HQmK1ynA4pjQgghhBBCCClOZp1ITjHbxDKFMSGEEEIIIYQUP7NWJKczk4KZ4pgQQgghhBBC5g4FIZLTmWrBTFFMCCGEEEIIIXOXghPJ2ZiocKYgJoQQQgghhBCSTlGIZEIIIYQQQgghJB/YrX8JIYQQQgghhJA5D0UyIYQQQgghhBBiQZFMCCGEEEIIIYRYUCQTQgghhBBCCCEWFMmEEEIIIYQQQogFRTIhhBBCCCGEEGJBkUwIIYQQQgghhFhQJBNCCCGEEEIIIRYUyYQQQgghhBBCiAH4/wEnjkb8J8zzCQAAAABJRU5ErkJggg==" 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 3: decoding (Alice)\n", + "\n", + "After the encoding step, Bobs sends the qubit back to Alice. To decode the message, Alice applies a CNOT-gate followed by a H-gate, see Figure 1. The decoding of the '11' message is:\n", + "\n", + "H $\\cdot$ **CNOT** $\\frac{1}{\\sqrt 2}$($-|$10$\\rangle + |$01$\\rangle$) = $ |$11$\\rangle$\n", + "\n", + "The states after the different respective gate operations are listed in Table 1. The circuit in Figure 2 shows the implementation of the superdense code in Quantum Inspire, in the case of the '11' message.\n", + "\n", + "# Superdense code in Quantum Inspire\n", + "\n", + "The figure below shows the Quantum Inspire circuit implementation for the ZX gate. \n", + "\n", + "![Schermafbeelding%202023-06-14%20171004.png](attachment:Schermafbeelding%202023-06-14%20171004.png)\n", + "(**Figure 2.** Superdense code implemented in Quantum Inspire)\n", + "\n", + "### Reducing circuit depth\n", + "\n", + "The longer the circuit depth, the greater the probability that a qubit's relaxation and/or dephasing event occurs. So, to reduce the run time, we want to obtain the same final state with the least amount of gates possible. In this way, we can get higher fidelities.\n", + "\n", + "First, we decompose each gate in this procedure to native gates for Quantum Inspire. In particular, we use the following circuit transformation (Figure 3).\n", + "\n", + "![Schermafbeelding%202023-06-26%20154635.png](attachment:Schermafbeelding%202023-06-26%20154635.png)\n", + "(**Figure 3.** H and CNOT gate decomposition and optimization. Method of rewriting Hadamard and CNOT gate when qubits are initialized in $|0\\rangle$)\n", + "\n", + "Additionally, notice that the X and Z-gate together form a Y-gate (these two rotations effectively form a rotation along the Y-axis). The circuit now becomes the following (Figure 4):\n", + "\n", + "![Schermafbeelding%202023-06-13%20143737.png](attachment:Schermafbeelding%202023-06-13%20143737.png)\n", + "(**Figure 4.** Circuit from Figure 3 implemented in the circuit of Figure 2)\n", + "\n", + "We can now make this code more time-efficient by rewriting and reducing some of the steps: The Y-rotations done on q[0] in the picture above cancel each other out. Removing these rotations gives us the circuit in Figure 5:\n", + "\n", + "![Schermafbeelding%202023-06-13%20144412.png](attachment:Schermafbeelding%202023-06-13%20144412.png)\n", + "(**Figure 5.** Reduced circuit from Figure 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "from utilityfunctions import *\n", + "\n", + "save_account('write your token here')\n", + "DataPath = NewDay()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm implementation\n", + "In the following code, *qubitA* will be $q[1]$ from the above sections, *qubitB* is the other qubit in the procedure.\n", + "To communicate with the backend, we will create a function that can do this for us. In this function, all the steps described above are executed. With only one job, we run all the possible encoded messages (TV mode), meaning we can extract all the fidelities simultaneously. This increases the duty cycle of data acquisition.\n", + "\n", + "We use 10,000 shots (executions of the algorithm) in this process. Doing more can lead to the system crashing.\n", + "\n", + "You can find the utility functions that we use below to create the local directory and save the data in the public\n", + "GitHub repository: https://github.com/DiCarloLab-Delft/QuantumInspireUtilities/tree/main" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "maxShots = 10000\n", + "\n", + "def Superdense(qubitB: int = 0, qubitA: int= 0, suffix: str=\"\", shots: int = maxShots, backend: int=1):\n", + " basename='Superdense_code_TV'\n", + " histname, cqasmname, rawname = PrepFile(basename, suffix, doraw = 1) \n", + "\n", + " for k in tqdm(range(1), desc=histname):\n", + " index=2**(2);\n", + " qasm_string = \"\"\"\n", + " version 1.0\n", + " qubits 5\n", + " \"\"\"\n", + " \n", + " for i in range(4):\n", + " if i == 0:\n", + " gate = 'I'\n", + " elif i == 1:\n", + " gate = 'X'\n", + " elif i == 2:\n", + " gate = 'Z'\n", + " elif i == 3:\n", + " gate = 'Y'\n", + " \n", + " qasm_string += \"\"\"\n", + " barrier q[0:4]\n", + " prep_z q[{qubitB},{qubitA}]\n", + " measure_z q[{qubitB},{qubitA}]\n", + " barrier q[0:4]\n", + "\n", + " {{ Y90 q[{qubitA}] | mY90 q[{qubitB}] }}\n", + "\n", + " CZ q[{qubitB}], q[{qubitA}]\n", + "\n", + " barrier q[0:4]\n", + "\n", + " {gate} q[{qubitA}]\n", + "\n", + " barrier q[0:4]\n", + "\n", + " CZ q[{qubitB}], q[{qubitA}]\n", + " {{ mY90 q[{qubitA}] | Y90 q[{qubitB}] }}\n", + "\n", + " measure_z q[{qubitB},{qubitA}]\n", + " measure_z q[{qubitB},{qubitA}]\n", + " measure_z q[{qubitB},{qubitA}]\n", + " \"\"\".format(qubitB = qubitB, qubitA = qubitA, gate = gate)\n", + "\n", + " results = API_RunAndSave(1, qasmprog=qasm_string, histname=histname, cqasmname = cqasmname, shots=shots, backend=backend, lastonly = 0, getresults = 1)\n", + " API_SaveRawData(results, 1, rawname)\n", + " return" + ] + }, + { + "attachments": { + "Schermafbeelding%202023-06-13%20150815.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implementation of MCMs\n", + "To improve the fidelity and reduce the measurement errors as much as possible, we implement MCMs in the code. In particular, we use post-selection (PS) and maximum-likelihood 3 readout (ML3 RO).\n", + "\n", + "The circuit below shows the superdense coding circuit with the implementation of MCMs tools. \n", + "![Schermafbeelding%202023-06-13%20150815.png](attachment:Schermafbeelding%202023-06-13%20150815.png)\n", + "(**Figure 6.** Mid-circuit measurements implemented in the superdense coding circuit.)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "# Choose the qubits to use in the algorithm\n", + "qubitA = 2\n", + "qubitB = 3\n", + "\n", + "# Function execution\n", + "rep = 2 # how many consecutive times you want to run the job?\n", + "\n", + "for j in range(rep):\n", + " suffix = 'SDC_{}'.format(j)\n", + " Superdense(qubitB = qubitB, qubitA = qubitA, shots = maxShots, suffix=suffix)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "total measurements: 20000\n" + ] + } + ], + "source": [ + "# Importing the data\n", + "bins_sliced = []\n", + "\n", + "for i in range(rep):\n", + " filedata = os.path.join(DataPath, 'Hist_Superdense_code_TV_SDC'+'_{}'.format(i)+'_API.txt')\n", + " foldername_bins = os.path.join(DataPath, 'Raw_' + filedata[112:-4]) # you may need to change the indices in filedata to have the correct file name \n", + " filename_bins = os.path.join(foldername_bins,'Raw_' + filedata[112:-4] + '_1.csv') # you may need to change the indices in filedata to have the correct file name \n", + " bins_loaded = np.loadtxt(filename_bins, delimiter=',', skiprows=1, dtype='str') #load all output bins into an array\n", + " for j in range(len(bins_loaded)):\n", + " bins_sliced.append(bins_loaded[j][1:])\n", + " \n", + "print('total measurements:',len(bins_sliced))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Post-selection\n", + "**If MCMs is set to 1 the Mid-circuit measurement tools are used for the data-processing**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "With MCM:\n", + "from: 20000 shots, 1487 are removed due to post-selection ( 7.435 %)\n" + ] + } + ], + "source": [ + "def post_selection(bins_sliced, MCM):\n", + "\n", + " selec = []\n", + " if MCM == 1:\n", + " for i in range(len(bins_sliced)):\n", + " if bins_sliced[i][0][-qubitB-2] == '1' or bins_sliced[i][0][-qubitA-2] == '1':\n", + " pass\n", + " elif bins_sliced[i][4][-qubitB-2] == '1' or bins_sliced[i][4][-qubitA-2] == '1':\n", + " pass\n", + " elif bins_sliced[i][8][-qubitB-2] == '1' or bins_sliced[i][8][-qubitA-2] == '1':\n", + " pass \n", + " elif bins_sliced[i][12][-qubitB-2] == '1' or bins_sliced[i][12][-qubitA-2] == '1':\n", + " pass\n", + " else: selec.append(bins_sliced[i])\n", + " print(\"from:\",len(bins_sliced),\"shots,\", len(bins_sliced)-len(selec), \"are removed due to post-selection\", \"(\",np.round(100*(len(bins_sliced)-len(selec))/len(bins_sliced), 3),\"%)\")\n", + "\n", + "\n", + " if MCM != 1:\n", + " selec = bins_sliced\n", + " return selec\n", + "\n", + "print('With MCM:')\n", + "selec_MCM = post_selection(bins_sliced,MCM = 1)\n", + "selec_ML1 = post_selection(bins_sliced,MCM = 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Raw data analysis and post-selection\n", + "\n", + "When using ML1 RO, the next step is simply determining if the measurement outcome is 0 or 1. If the ML3 RO approach is used, we consider the three measurements, and based on where the threshold lays, we get the measurement outcome." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# The threshold value i updated with the realtime threshold for each qubit\n", + "i0,i1,i2,i3,i4 = 3,3,3,3,3\n", + "tres_array = np.array([i0,i1,i2,i3,i4])\n", + "\n", + "iB = tres_array[qubitB]\n", + "iA = tres_array[qubitA]\n", + "\n", + "def ML3_procedure(selec,MCM):\n", + " freqs = np.zeros((4,4))\n", + " \n", + " for i in range(len(selec)):\n", + "\n", + " for j in range(1,16,4):\n", + "\n", + " if j == 1: \n", + " k = 0\n", + " elif j == 5: \n", + " k = 1\n", + " elif j == 9: \n", + " k = 2\n", + " elif j == 13: \n", + " k = 3\n", + " bitB = '0'\n", + " bitA = '0'\n", + "\n", + " if MCM == 1: \n", + " stringB = '{m0}{m1}{m2}'.format(m0 = selec[i][j][-qubitB-2], m1 = selec[i][j+1][-qubitB-2], m2 = selec[i][j+2][-qubitB-2]) \n", + " if int(stringB,2) >= iB: \n", + " bitB = '1'\n", + "\n", + " stringA = '{m0}{m1}{m2}'.format(m0 = selec[i][j][-qubitA-2], m1 = selec[i][j+1][-qubitA-2], m2 = selec[i][j+2][-qubitA-2])\n", + " if int(stringA,2) >= iA:\n", + " bitA = '1'\n", + "\n", + " bit_mess = ''.join([bitA,bitB])\n", + " freqs[k][int(bit_mess,2)] += 1\n", + "\n", + " if MCM != 1: \n", + " stringB = '{m0}'.format(m0 = selec[i][j][-qubitB-2])\n", + " if stringB == '1': \n", + " bitB = '1' \n", + " stringA = '{m0}'.format(m0 = selec[i][j][-qubitA-2])\n", + " if stringA == '1':\n", + " bitA = '1'\n", + "\n", + " bit_mess = ''.join([bitA,bitB])\n", + " freqs[k][int(bit_mess,2)] += 1\n", + " \n", + " \n", + " bins = ''.join([bitA,bitB])\n", + " return freqs, bins\n", + "\n", + "freqs_MCM, bins_MCM = ML3_procedure(selec_MCM,1)\n", + "freqs_ML1, bins_ML1 = ML3_procedure(selec_ML1,0)\n", + "\n", + "probabilities00_MCM = freqs_MCM[0]/np.sum(freqs_MCM[0])\n", + "probabilities01_MCM = freqs_MCM[1]/np.sum(freqs_MCM[1])\n", + "probabilities10_MCM = freqs_MCM[2]/np.sum(freqs_MCM[2])\n", + "probabilities11_MCM = freqs_MCM[3]/np.sum(freqs_MCM[3])\n", + "\n", + "probabilities00_ML1 = freqs_ML1[0]/np.sum(freqs_ML1[0])\n", + "probabilities01_ML1 = freqs_ML1[1]/np.sum(freqs_ML1[1])\n", + "probabilities10_ML1 = freqs_ML1[2]/np.sum(freqs_ML1[2])\n", + "probabilities11_ML1 = freqs_ML1[3]/np.sum(freqs_ML1[3])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The mean fidelity (ML-1 RO) = 94.0412 %\n" + ] + } + ], + "source": [ + "#create strings for the states\n", + "bins = ['$|00\\\\rangle$','$|01\\\\rangle$','$|10\\\\rangle$','$|11\\\\rangle$']\n", + "\n", + "#plot\n", + "font={'family' : 'Times New Roman',\n", + "'weight' : 'normal',\n", + "'size' : 20}\n", + "plt.rc('font', **font)\n", + "\n", + "#plotting\n", + "indices = np.array([0,1,2,3])\n", + "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(10,10))\n", + "\n", + "fig.suptitle('ML1 procedure', fontsize=24, fontweight='bold', y = 1.0)\n", + "\n", + "# Plot for Input 00 fraction of shots\n", + "axs[0,0].annotate(str(np.round(probabilities00_ML1[indices[0]],4)), xy=(-0.35, probabilities00_ML1[indices[0]]+0.04))\n", + "axs[0,0].bar(bins, probabilities00_ML1[indices])\n", + "axs[0,0].set_title('Input 00 (I)')\n", + "axs[0,0].set_ylabel('Fraction')\n", + "axs[0,0].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[0,0].set_ylim(0,1.1)\n", + "\n", + "# Plot for Input 01 fraction of shots\n", + "axs[0,1].annotate(str(np.round(probabilities01_ML1[indices[1]],4)), xy=(0.65, probabilities01_ML1[indices[1]]+0.04))\n", + "axs[0,1].bar(bins, probabilities01_ML1[indices])\n", + "axs[0,1].set_title('Input 01 (X) ')\n", + "axs[0,1].set_ylabel('Fraction')\n", + "axs[0,1].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[0,1].set_ylim(0,1.1)\n", + "\n", + "# Plot for Input 10 fraction of shots\n", + "axs[1,0].annotate(str(np.round(probabilities10_ML1[indices[2]],4)), xy=(1.65, probabilities10_ML1[indices[2]]+0.04))\n", + "axs[1,0].bar(bins, probabilities10_ML1[indices])\n", + "axs[1,0].set_title('Input 10 (Z) ')\n", + "axs[1,0].set_ylabel('Fraction')\n", + "axs[1,0].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[1,0].set_ylim(0,1.1)\n", + "\n", + "# Plot for Input 11 fraction of shots\n", + "axs[1,1].annotate(str(np.round(probabilities11_ML1[indices[3]],4)), xy=(2.65, probabilities11_ML1[indices[3]]+0.04))\n", + "axs[1,1].bar(bins, probabilities11_ML1[indices])\n", + "axs[1,1].set_title('Input 11 (Y) ')\n", + "axs[1,1].set_ylabel('Fraction')\n", + "axs[1,1].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[1,1].set_ylim(0,1.1)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "fid_mean = np.mean([probabilities00_ML1[indices[0]],probabilities01_ML1[indices[1]],probabilities10_ML1[indices[2]],probabilities11_ML1[indices[3]]])\n", + "print('The mean fidelity (ML-1 RO) =', np.round(100*fid_mean,4), '%')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The mean fidelity (using MCMs) = 94.679 %\n" + ] + } + ], + "source": [ + "#plot\n", + "font={'family' : 'Times New Roman',\n", + "'weight' : 'normal',\n", + "'size' : 20}\n", + "plt.rc('font', **font)\n", + "\n", + "#plotting\n", + "indices = np.array([0,1,2,3])\n", + "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(10,10))\n", + "\n", + "fig.suptitle('With mid-circuit measurements tools', fontsize=24, fontweight='bold', y = 1.0\n", + " )\n", + "\n", + "# Plot for Input 00 fraction of shots\n", + "axs[0,0].annotate(str(np.round(probabilities00_MCM[indices[0]],4)), xy=(-0.35, probabilities00_MCM[indices[0]]+0.04))\n", + "axs[0,0].bar(bins, probabilities00_MCM[indices])\n", + "axs[0,0].set_title('Input 00 (I)')\n", + "axs[0,0].set_ylabel('Fraction')\n", + "axs[0,0].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[0,0].set_ylim(0,1.1)\n", + "\n", + "# Plot for Input 01 fraction of shots\n", + "axs[0,1].annotate(str(np.round(probabilities01_MCM[indices[1]],4)), xy=(0.65, probabilities01_MCM[indices[1]]+0.04))\n", + "axs[0,1].bar(bins, probabilities01_MCM[indices])\n", + "axs[0,1].set_title('Input 01 (X) ')\n", + "axs[0,1].set_ylabel('Fraction')\n", + "axs[0,1].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[0,1].set_ylim(0,1.1)\n", + "\n", + "# Plot for Input 10 fraction of shots\n", + "axs[1,0].annotate(str(np.round(probabilities10_MCM[indices[2]],4)), xy=(1.65, probabilities10_MCM[indices[2]]+0.04))\n", + "axs[1,0].bar(bins, probabilities10_MCM[indices])\n", + "axs[1,0].set_title('Input 10 (Z) ')\n", + "axs[1,0].set_ylabel('Fraction')\n", + "axs[1,0].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[1,0].set_ylim(0,1.1)\n", + "\n", + "# Plot for Input 11 fraction of shots\n", + "axs[1,1].annotate(str(np.round(probabilities11_MCM[indices[3]],4)), xy=(2.65, probabilities11_MCM[indices[3]]+0.04))\n", + "axs[1,1].bar(bins, probabilities11_MCM[indices])\n", + "axs[1,1].set_title('Input 11 (Y) ')\n", + "axs[1,1].set_ylabel('Fraction')\n", + "axs[1,1].set_xlabel(r'Measurement outcome $|q_{A} q_{B}\\rangle$')\n", + "axs[1,1].set_ylim(0,1.1)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "fid_mean2 = np.mean([probabilities00_MCM[indices[0]],probabilities01_MCM[indices[1]],probabilities10_MCM[indices[2]],probabilities11_MCM[indices[3]]])\n", + "print('The mean fidelity (using MCMs) =', np.round(100*fid_mean2,3),'%')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "difference in fidelity: fid(MCMs)-fid(ML1) = 0.638 %\n" + ] + } + ], + "source": [ + "print('difference in fidelity: fid(MCMs)-fid(ML1) =', np.round(100*(fid_mean2-fid_mean),3), '%')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "Finally, we have demonstrated that Bob can send two bits of information using only one qubit! Depending on the encoded message, we get different fidelities. The lowest fidelity is with the encoded message '11'. This happens because, compared to the '00', the qubit is more likely to bit flip. The same argument holds for the '01' and '10' messages, their fidelities depend on the relaxation times of each qubit.\n", + "\n", + "Considering the fidelity difference between the cases with and without MCMs, we can conclude that the MCM improves the fidelity of the procedure." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/docs/notebooks_action_needed/superdense_coding/utilityfunctions.py b/docs/notebooks_action_needed/superdense_coding/utilityfunctions.py new file mode 100644 index 0000000..722731a --- /dev/null +++ b/docs/notebooks_action_needed/superdense_coding/utilityfunctions.py @@ -0,0 +1,197 @@ +# Utility functions + +import os +import math +import numpy as np +import datetime +import time +import winsound +import sys +from urllib import request +import shutil + +import os +import math +import time +import logging +import warnings +import numpy as np +import datetime +from getpass import getpass +import matplotlib.pyplot as plt +import matplotlib.patches as mpl_patches +from scipy.optimize import curve_fit, leastsq +from progress.bar import IncrementalBar +from tqdm import tqdm +import winsound + +from quantuminspire.api import QuantumInspireAPI +from quantuminspire.version import __version__ as quantum_inspire_version +from quantuminspire.credentials import load_account, get_token_authentication, get_basic_authentication, save_account + +def PrepFile(basename: str="", suffix: str="", doraw: int=0): + ''' + Creates the file name according to the basename and suffix that you provide. + ''' + histname="Hist_"+basename + cqasmname="cQASM_"+basename + rawname="Raw_"+basename + if (len(suffix)>0): + histname+='_'+suffix + cqasmname+='_'+suffix + rawname+='_'+suffix + histname+='_API.txt' + cqasmname+='_API.txt' + rawname+="_API" + + file=open(histname,'w') + file=open(cqasmname,'w') + + if (doraw==0): + return histname, cqasmname + else: + return histname, cqasmname, rawname + + +def GetTimeStamp(): + ''' + Returns the timestamp of the current date and time + ''' + current_date = datetime.datetime.now() + thisyear=str(current_date.year); + thismonth="0"+str(current_date.month); + thisday="0"+str(current_date.day); + thishour="0"+str(current_date.hour); + thisminute="0"+str(current_date.minute); + thissecond="0"+str(current_date.second); + timestamp=thisyear[-2:]+thismonth[-2:]+thisday[-2:]+"_"+thishour[-2:]+thisminute[-2:]+thissecond[-2:] + return timestamp + +def NewDay(): + ''' + Crates the folder with the current date in the specified path. + ''' + todaypath = r'' # Write here the path of the folder you want to save your data in + + current_date = datetime.date.today() + thisyear=str(current_date.year); + thismonth="0"+str(current_date.month); + thisday="0"+str(current_date.day); + todaypath+="/Data_"+thisyear[-2:]+thismonth[-2:]+thisday[-2:] + + try: + os.mkdir(todaypath) + except OSError: + print ("Creation of the directory %s failed" % todaypath) + else: + print ("Successfully created the directory %s " % todaypath) + + os.chdir(todaypath) # change the current working directory to the specified path + return todaypath + +def API_RunAndSave(param, qasmprog: str = "foo", histname: str="hist.txt", cqasmname: str="cqasm.txt", shots: int=16384, backend: int=1, lastonly: int=0, getresults: int=0): + ''' + Runs QI with qasmprog and appends measurement histogram(s) to file histname + A copy of the cqasm program is saved to file cqasmname. + + param: a reference number that you are free to choose. it will be saved in the first column of the file + shots: desired number of shots. For Starmon-5, the max is 16384. + backend: 0: QX simulation + 1: Starmon-5 + 2: Spin-2 + lastonly: 0: save histograms for all measurement blocks in the circuit + 1: save only the hisogram of the last measurement block in the circuit + getresults: 0: do not return the results + 1: return the results + ''' + + # Set the backend + QI = QuantumInspireAPI(project_name="APIProject") + if (backend==0): + backend_type = QI.get_backend_type_by_name('QX single-node simulator') + if (backend==1): + backend_type = QI.get_backend_type_by_name('Starmon-5') + if (backend==2): + backend_type = QI.get_backend_type_by_name('Spin-2') + + # save cqasm program to file + file=open(cqasmname,'a') + file.write(qasmprog) + file.write('\n\n') + file.close() + + results = QI.execute_qasm(qasmprog, backend_type=backend_type, number_of_shots=shots) + + numhistos=len(results['histogram']) + + starthisto=0 + if(lastonly==1): + starthisto=numhistos-1 + + # record histograms + for i in range(starthisto, numhistos,1): + + # prepare histogram + counts = np.zeros(2**5) + histo=results['histogram'][i] + for thisvaluestr, thisprob in histo.items(): + intval=int(thisvaluestr) + counts[intval] = thisprob + + # append histogram to file + file=open(histname,'a') + file.write('{}\t'.format(param)) + for value in counts: + file.write('{:.5f}\t'.format(value)) + file.write('\n') + file.close() + + if (getresults==1): + return results + +def API_SaveRawData(results, param, basename): + ''' + This function saves the raw data from an API run to a csv file + results: is what API_RunandSave returns + param: parameter that you are measuring. It will be added to the final data file name + basename: name that you want to give to the data file. + ''' + # some important variables + api_version = '2.0' + file_format = "csv" + output = "console" + + # get url from results + url=results['raw_data_url'] + url += f"?&format={file_format}" + + # dump data into a temp file + opener = request.build_opener() + opener.addheaders = [('accept', f'application/coreapi+json, application/vnd.coreapi+json, */*; version={api_version};')] + request.install_opener(opener) + local_filename, headers = request.urlretrieve(url, filename=None if output == "console" else output) + + # create directory if it doesn't yet exist + if(os.path.isdir(basename)==False): + os.mkdir(basename) + + # specify destination file + dest = basename+r"/"+basename+"_"+str(param)+".csv" + + # copy from temp file to destination file + path = shutil.copyfile(local_filename,dest) + + +def DeleteProjects(basename: str=""): + ''' + Deletes the specified project + ''' + QI = QuantumInspireAPI() + for pi in QI.get_projects(): + if basename in pi['name']: + QI.delete_project(pi['id']) + + frequency = 100 # Set Frequency To 2500 Hertz + duration = 500 # Set Duration To 1000 ms == 1 second + winsound.Beep(frequency, duration) + return