{ "cells": [ { "cell_type": "markdown", "id": "8fd2d7c7-131b-4ada-bb39-1ca4b9021f29", "metadata": { "tags": [] }, "source": [ "# Signals, Sampling & Filtering\n", "---" ] }, { "cell_type": "markdown", "id": "e553813b-0419-4091-b39c-e1aa5e31c8c2", "metadata": {}, "source": [ "
\n", "This chapter was copied and lightly adapted (mostly code edits) from Paul Gribble's Scientific Computing course under a Creative Commons Attribution 4.0 International License. Some of the topics here are more advanced. The goal is to provide you an introduction to this extremely important topic as well as some conceptual and practical understanding. Hence, you may find a lot of value in returning to this chapter in the future, whether to boost your understanding or utilize the code examples provided. \n", "
" ] }, { "cell_type": "markdown", "id": "4c1dc48d-6f52-4543-88ec-e4ca8bdcba8a", "metadata": {}, "source": [ "Whereas signals in nature (such as sound waves, magnetic fields, hand position, electromyograms (EMG), electroencephalograms (EEG), extra-cellular potentials, etc) vary continuously, often in science we measure these signals by **sampling** them repeatedly over time, at some **sampling frequency**. The resulting collection of measurements is a **discretized** representation of the original continuous signal.\n", "\n", "Before we get into **sampling theory** however we should first talk about how signals can be represented both in the **time domain** and in the **frequency domain**." ] }, { "cell_type": "markdown", "id": "1c186e4c-94d9-4140-8ac9-c88ae371dc7d", "metadata": {}, "source": [ "## Time domain representation of signals\n", "\n", "This is how you are probably used to thinking about signals, namely how the magnitude of a signal varies over time. So for example a signal $s$ containing a sinusoid with a period $T$ of 0.5 seconds (a frequency of 2 Hz) and a peak-to-peak magnitude $b$ of 2 volts is represented in the time domain $t$ as:\n", "\n", "$$ s(t) = \\left(\\frac{b}{2}\\right) \\mathrm{sin}\\left(wt\\right) $$\n", "\n", "where\n", "\n", "$$ w = \\frac{2 \\pi}{T} $$\n", "\n", "We can visualize the signal by plotting its magnitude as a function of time:" ] }, { "cell_type": "code", "execution_count": 1, "id": "24b85028-0690-4c98-8d84-8e6dbbddfa43", "metadata": {}, "outputs": [ { "data": { "image/png": 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f4isS/PJEbbQcgS/UALDYmDROSzVwnX2lveB/K5dtoCCgnW8e9ck/issgisC0zDikx4UrHU6/+GoADlWi1cUaANImrdXAdTZsUCQmpFnh9oi+ITYirWKCE0REUewyPKU1Ug1Ag6MNBUdZA0DapMUauM58w1Qs+CeNY4ITRI6U23GqqhEmgw63tA/3aEmXGgBeXEmj/lGkvRq4zu6YkAq9TsChMhtOV3HZBtKugCQ4r776KjIzM2GxWJCbm4tt27Zd8diHHnoIgiB0e4wZM8Z3zJo1a3o8prW1NRAfR7X+Wey9sM4bnQhrmPqnpfbkrvYEZ8vJy6htciocDVH/XLK3YudZ7dXAdRYfacac9sLofxRxmIq0S/YEZ926dVi6dCmefvppFBUVYfbs2bjllltQUtLz5oq/+c1vUFFR4XuUlpYiLi4O99xzT5fjoqOjuxxXUVEBi8Ui98dRLVEU8fER77DOHePVtWNxfwxPjEROSjTcHhH/OV6ldDhE/bLp6CWIIjBpSIzmauA6u3OC9xqy6WilwpEQDZzsCc6LL76IxYsX4+GHH8bo0aOxcuVKpKen4/e//32Px1utViQnJ/sehYWFqKurwze/+c0uxwmC0OW45GR1rxQqtxOXGlBS2wyTQaeZaalXMj8nCQB8hZpEWiH9zebnaPt69KVRidDrBJy81Ijz1U1Kh0M0ILImOE6nE/v27UN+fn6X5/Pz87Fjx44+vcaqVaswb948ZGRkdHm+sbERGRkZSEtLw+23346ioqIrvobD4YDdbu/yCDYF7b03s4cnIMJsUDiaa5M/xpvgbD11mSuqkmbYW13Y1T48Jf0Na5U13IgZWXEAwIJ/0ixZE5zq6mq43W4kJXX9siclJaGy8uqt84qKCnz44Yd4+OGHuzyfnZ2NNWvW4P3338dbb70Fi8WCWbNm4dSpUz2+zooVK2C1Wn2P9PT0gX8oldrUfhHS+oUVAHJSojE4JgytLg+2n65WOhyiPvnsxGW43CKGDYrAsEGRSodzzaReKA5TkVYFpMj4izMJRFHs0+yCNWvWICYmBnfddVeX52fMmIFvfOMbmDBhAmbPno133nkHI0eOxCuvvNLj6yxfvhw2m833KC0tHfBnUaPy+hYcKrNBEIC5o7Wf4AiC4EvUOExFWuEbnhqj7eEpiTRUXHihDtWNXPSPtEfWBCchIQF6vb5bb01VVVW3Xp0vEkURq1evxqJFi2AymXo9VqfTYerUqVfswTGbzYiOju7yCCZSF/KUjFgkRJoVjsY/pIvr5mOX0Ob2KBwNUe8cbW58duIygI6/Xa1LjQnD2MHREEXgE+5NRRoka4JjMpmQm5uLgoKCLs8XFBRg5syZvf7uli1bcPr0aSxevPiq7yOKIoqLi5GSor21X/xBSnC0XtjY2bShcbCGGVHX7MK+C3VKh0PUq11na9HoaMOgKDMmpsUoHY7fSNcU1uGQFsk+RLVs2TL8+c9/xurVq3Hs2DE8+eSTKCkpwSOPPALAO3z0wAMPdPu9VatWYfr06Rg7dmy3nz377LP4+OOPcfbsWRQXF2Px4sUoLi72vWYosTV3FDYGS8sRAAx6HeaOTgTQUV9EpFbS8NT8nCTodNpb3O9KOgr+q9HkaFM4GqL+kT3BWbhwIVauXInnnnsOEydOxNatW7Fx40bfrKiKiopua+LYbDasX7/+ir039fX1+Pa3v43Ro0cjPz8fZWVl2Lp1K6ZNmyb3x1GdT09Uoc0jYmRSJIYmRCgdjl91bj2KoqhwNEQ983jETr2owdPIAIBRSVEYEhcOZ5sH205dVjocon4JyHziRx99FI8++miPP1uzZk2356xWK5qbm6/4ei+99BJeeuklf4WnadIMh2AanpJcPzIBZoMOJbXNOHGpAdnJwVU7RcHhwMV6VDU4EGk2IG9YvNLh+JUgCJifk4RV289h05FLuHlsaJYBkDZxLyoNa3W5saW9sDEYpod/UbjJgNkjEgAAm45wmIrUSeq9mTNqEMwGvcLR+J/UK/XJ8SoW/JOmMMHRsJ1natDkdCM52oJxg7W3a3FfcC0OUrtNQTo8JcnNiEVchAm2Fhf2nK9VOhyiPmOCo2G+4akxSZrctbgv5o5OhE4ADpfZUVbfonQ4RF2cudyI01WNMOoFfCk7UelwZGHQ6zC3/bOxJ5W0hAmORnkLG72bUQbT7Kkvio80Y0pG+5LxXPSPVEYanpqRFY9oi1HhaOQjLV7Ign/SEiY4GnWozIbqRgeizAZMzwyuwsYvmpfjbT3+5wRncZC6SDveB3MjAwBmj/AW/JfVt+DkpUalwyHqEyY4GrX1pPdmP3N4PEyG4P5nnDPSm+DsPluDVhc33yR1aGh1YX/7IpRzRg5SOBp5WYx6TM/yNqSkaw+R2gX3nTGIbW1fk+L6IL+wAsDIpEgkR1vgaPNgL4scSSV2na1Fm0dERnw4MuKDaw2qnlzfPqNxK9fDIY1ggqNBDa0u7C+pBwBcPyL4ExxBEHzTxdl6JLWQ/hZD4TsIdPRS7TlXy55U0gQmOBq040wN3B4RWQkRSI8LVzqcgJB6qraerFY4EiKvUOpFBYDhiZFIsXp7UnefY08qqR8THA3ytRxD5MIKANcNT4AgACcuNaDS1qp0OBTiLtQ04UJNMww6IehWL74SQRB8vVXsSSUtYIKjMaIo+lqO0rBNKIiNMGF8+2KGrAEgpUk3+NyMWESaA7LjjSp09KTyO0jqxwRHY87XNKO0tgVGvYAZWaHRcpTw4kpqsaV9qDSUelEBb0+qTgBOVTWinAtvksoxwdEY6eY+JSMOESHUcgQ6bibbT1fD7eFiY6QMl9uDnWe8CU6wTw//Imu4ERPSYwAA20+xHo7UjQmOxoRi/Y1kYnoMoswG1De7cLjMpnQ4FKL2X6hDk9ON+AgTclJCb4f72e11OFs4VEwqxwRHQ5xtHuw8WwMAuH5k6NTfSIx6HWYO52JjpCypBuy6EQnQ6YJzD7jezGm/9mw/xZ5UUjcmOBpSeKEWzU43EiLNGJ0cei1HoFMdDluPpBBpqYJQWf/miyakxSDKYoCtxYWDF+uVDofoipjgaIh0YZ0doi1HoOOmsr+kHvZWl8LRUKipaXTgcLl3eHR2CPaiAt7dxa8bLi28yTocUi8mOBrSUX8TmhdWAEiPC0dmQgTcHhE7TtcoHQ6FmO2nqyGKwOiUaCRGWZQORzHsSSUtYIKjEZcbHDhaYQfQUeQXqrgnDillCxsZADoSnOLSetha2JNK6sQERyO2n/ZeWMekRiMh0qxwNMrqvB6OKLLIkQJDFEVsa58aPSfEGxmDY8IwbJC3J1WaMk+kNkxwNEK6sIZ67w0AzMiKh1Ev4GJdCy7UNCsdDoWIk5cacbnBgTCjHrlDY5UOR3Edw1RMcEidmOBogCiK2HXGW28ya3horV7ckwizARPbFxvbdZZ1OBQYUk/FlKGxMBv0CkejvJnDvMN0/A6SWjHB0YCS2maU21ph1AuYkhGndDiqkNe+TcVOXlwpQKS/tVDZXPNqpmXGQScAZy834ZKdG+CS+jDB0YCd7b03E9NjEGZiyxEAZrTfZHaeqWEdDsnO4xGx+1wtgI7kOtRZw4wYk+rdAJe9OKRGTHA0QLp4hNrmmr2ZPCQWJr0OVQ0OnKtuUjocCnLHKu2ob3YhwqTH2PZd7QmYkeXtUZYaYURqwgRH5URR7OgaZ4LjYzHqMWlIDAAOU5H8dp319t5MzYyDUc/LpkQarmMPDqkRv6kqd666CZfsDpj0OkzO4MyNzvI6DVMRyUn6G2Mjo6upQ711OOdrmlFha1E6HKIumOConNRynDgkBhYj6286k4bsdp2tZR0OycbtEbH7HIeJexJlMWJc+5AdGxqkNkxwVI7DU1c2aUgMzAYdqhsdOHO5UelwKEgdq7CjobUNUWYDxqSG5ia3vZnBYSpSKSY4KiaKYkfXOKemdmM26JHbPmzH1iPJRfrbmpYZBwPrb7rhkg2kVvy2qtiZy02obnTAZND5FrajrjoPUxHJYSdnMfZqytA46HUCSmtbcLGOK4uTegQkwXn11VeRmZkJi8WC3NxcbNu27YrHfvbZZxAEodvj+PHjXY5bv349cnJyYDabkZOTgw0bNsj9MQJOurDmDoll/c0VdJ7FwToc8rc2twd7pfVv2Ivao0izAePTpPVw2NAg9ZA9wVm3bh2WLl2Kp59+GkVFRZg9ezZuueUWlJSU9Pp7J06cQEVFhe8xYsQI38927tyJhQsXYtGiRThw4AAWLVqEBQsWYPfu3XJ/nIDaxZVTr2pCWgwsRh1qmpw4VcU6HPKvI+V2NDjaEG0xYHQK62+uxDdMxaFiUhHZE5wXX3wRixcvxsMPP4zRo0dj5cqVSE9Px+9///tefy8xMRHJycm+h17f0YOxcuVKzJ8/H8uXL0d2djaWL1+OuXPnYuXKlTJ/msARRRG72TV+VSaDzrd9BS+u5G9SL+q0zHjodYLC0ahXx1Axe1JJPWRNcJxOJ/bt24f8/Pwuz+fn52PHjh29/u6kSZOQkpKCuXPn4tNPP+3ys507d3Z7zZtuuumKr+lwOGC327s81O5UVSOqG52wGHWYkM6VU3vD9XBILizy75spQ2Nh1Asoq29BaS3XwyF1kDXBqa6uhtvtRlJSUpfnk5KSUFlZ2ePvpKSk4E9/+hPWr1+P9957D6NGjcLcuXOxdetW3zGVlZX9es0VK1bAarX6Hunp6df4yeQnDU9NyYjjzsVXIbUed5+rgcfD1iP5h8vtQeF57j/VF+EmAyakxQDgdHFSD0Mg3kQQunbtiqLY7TnJqFGjMGrUKN//5+XlobS0FL/+9a9x/fXXD+g1ly9fjmXLlvn+3263qz7JkVqO0l4vdGXj06wIN+lR1+zCiUsNrJUgvzhUZkOT042YcCOyk6OUDkf1ZmTFo/BCHXaercGCqeq+vlJokLUHJyEhAXq9vlvPSlVVVbcemN7MmDEDp06d8v1/cnJyv17TbDYjOjq6y0PNPB6RBcb9YNTrMGUo63DIv6S/pemZcdCx/uaqOg8Vsw6H1EDWBMdkMiE3NxcFBQVdni8oKMDMmTP7/DpFRUVISUnx/X9eXl6319y0aVO/XlPNTlU1oq7ZhTCjHuPbu32pd3mdhqmI/GF3+/RwFvn3TW5GLEx6HSrtrSip5Xo4pDzZh6iWLVuGRYsWYcqUKcjLy8Of/vQnlJSU4JFHHgHgHT4qKyvDX//6VwDeGVJDhw7FmDFj4HQ68be//Q3r16/H+vXrfa/5xBNP4Prrr8fzzz+PL3/5y/jnP/+JzZs3Y/v27XJ/nIDY2z7uPzkjhjsX99G0TO+KxoXn63odriTqC7dHxP4LdQC8KxjT1VmMeoxLs2LfhTrsPV+HjPgIpUOiECd7grNw4ULU1NTgueeeQ0VFBcaOHYuNGzciIyMDAFBRUdFlTRyn04mnnnoKZWVlCAsLw5gxY/DBBx/g1ltv9R0zc+ZMvP322/jxj3+Mn/zkJxg2bBjWrVuH6dOny/1xAkIqbJSmP9PVjR1shcngXQ/nXHUTsgZFKh0SadjxSjsaHd79p7KT1T2krSZThsZi34U6FJ6vxd25aUqHQyFOEENwsNRut8NqtcJms6myHmfW//0HZfUtWPvwdMwanqB0OJqx4I87sedcLZ7/2jgsnDpE6XBIw9Z8fg7P/Oso5owchL98a5rS4WjGJ8cuYfFfCpE1KAL/+d4NSodDQag/92+Of6hMWX0LyupboNcJ3H+qn6YO9Q5T7T1fp3AkpHV724enpL8p6htp89uzl5tQ0+hQOBoKdUxwVEYanhqTGo0Ic0Bm8QcNaSaVVMNENBCiKHYMEw/lMHF/xISbMDLJOzxceIENDVIWExyVkW7OU3lh7bfcjFgIAnChphlV9lalwyGNKq1twSW7A0Y9e1EHQrp2SZuUEimFCY7KFJ5n1/hARVuMvoJQth5poKRGxrjBVliMXEW8v3wJDr+DpDAmOCpia1+JF2DX+EBNa08M97D1SANUeIG9qNdiSvt38EiZDc3ONoWjoVDGBEdF9pXUQhSBrIQIJESalQ5Hk6TEULpJEfWXlByzkTEwg2PCkGK1oM0jorikXulwKIQxwVERafbPFA5PDZjU6j5abkdDq0vhaEhrahodOHO5CQAwJYPfw4EQBKFjmIozGklBTHBUpJAFxtcs2WpBelwYPCJQxNYj9dO+9rqREYmRiI0wKRyNdkk1hOxJJSUxwVGJVpcbB0ptAJjgXKup7StAF3K6OPXTXk4P9wvp/O2/UIc2t0fhaChUMcFRiUNlNjjdHiREmpERH650OJomXVz3MMGhfpKGVKS9zWhgRiVFIcpiQJPTjWMVDUqHQyGKCY5KSC3HaZmx3CjyGkk3p+LSejjb2HqkvmlxunG4zNuLyn3gro1OJ/hqmLjwJimFCY5KSIti8cJ67YYNikRsuBGtLg8Ol9uUDoc0oqi0Dm0eEcnRFqTFhikdjuZxZXFSGhMcFfB4RN/CdNMymeBcK0EQOqaL8+JKfeRbZDMzjr2ofiBdy/aer0MI7ulMKsAERwVOVjWgobUNESY9spOjlA4nKHDjTeqvjm1SWH/jD+MGW2HS61Dd6MCFmmalw6EQxARHBaThqckZsTDo+U/iD517cDweth6pd21uD/a396JymNg/LEY9xqdZAbDgn5TBu6kKFPLC6ndjU62wGHWoa3bhbHWj0uGQyh2vbECT040oswGj2IvqN1MzOVRMymGCowLS4mJcwdh/TAYdxqfFAAD2X6hXNBZSv/0l3u/gpIxY6HWsv/GX3CHea9p+LrpJCmCCo7Aqeysu1rVAJwAT0mOUDieoTPZdXFmHQ72ThqcmD4lRNpAgM6n9fJ6uaoStmVunUGAxwVGYdPMdmRSFSLNB4WiCS277OhxSDxnRlexr/x7mcv8pv4qPNCMzIQIAsL+U30MKLCY4CpO6bnlh9T+p9XiqqhG2FrYeqWdVDa0orW2BIAAT2Yvqd9L3sIgNDQowJjgK2+frGmeC42+dt70oLq1XNhhSLalGa2RiFKIsRmWDCULStW0fh4opwJjgKMjR5sah9qXh2YMjD6nIkcNUdCVF7TfeyfwOykK6thWX1MPNJRsogJjgKOhIuR3ONg/iIkzcYFMmk9ovrkVsPdIV7GOBsayk+sImpxsnKrnxJgUOExwFdZ65waXh5SH14BSx9Ug9cLZ5cJC9qLLS6wRfbRNnNFIgMcFRUFF7gTG7xuUzKjkKESY9Gh1tOFXF1iN1dbTC24saG270zfYh/5N6x5jgUCAxwVEQC4zlp9cJvvWFuOAffZH0HZw0JJa9qDKShor3sxaOAogJjkLK61tQaW+FXif49msheXA9HLqS/Vz/JiAmp3vP7/maZtQ0OhSOhkIFExyFSDfbnJRohJu4wJ+cJg9hoTH1bL+vBydG2UCCnDXciOGJkQC4bQMFDhMchUgtR87ckJ908zpb3YTaJqeywZBqlNe3oMLm7UWd0L5vGcknl1unUIAxwVGIbwYVu8ZlFxNuwrBB3gJS9uKQRLrRZidHIYLbpMhuckYMAA4VU+AwwVFAq8uNI+V2ACwwDhSpxoKtR5JIReesvwkM6TwfvFgPl9ujcDQUCgKS4Lz66qvIzMyExWJBbm4utm3bdsVj33vvPcyfPx+DBg1CdHQ08vLy8PHHH3c5Zs2aNRAEodujtbVV7o/iF4fKbGjziBgUZUZabJjS4YSEyVzRmL6gY5iYCU4gZCVEItpiQKvLg+MVXLKB5Cd7grNu3TosXboUTz/9NIqKijB79mzccsstKCkp6fH4rVu3Yv78+di4cSP27duHL33pS7jjjjtQVFTU5bjo6GhUVFR0eVgsFrk/jl9IN9lcTk0NGGko8ECpDW1sPYY8by+qd4E/JjiBodMJmORraNQqHA2FAtkTnBdffBGLFy/Gww8/jNGjR2PlypVIT0/H73//+x6PX7lyJb7//e9j6tSpGDFiBH7xi19gxIgR+Ne//tXlOEEQkJyc3OWhFR31NzHKBhJChg+KRJTFgBaXG8e5XHzIO1xmg8stIiHSjPQ49qIGSsdQcb2ygVBIkDXBcTqd2LdvH/Lz87s8n5+fjx07dvTpNTweDxoaGhAXF9fl+cbGRmRkZCAtLQ233357tx6ezhwOB+x2e5eHUkRRZNe4Ajq3HlmHQ/u4TYoiOFRMgSRrglNdXQ23242kpKQuzyclJaGysrJPr/HCCy+gqakJCxYs8D2XnZ2NNWvW4P3338dbb70Fi8WCWbNm4dSpUz2+xooVK2C1Wn2P9PT0gX+oa1Ra24LqRieMegFjB3OBv0DyTVPlxTXk7ecO4oqYkG6FTgDK6ltQZddGzSRpV0CKjL/YQhJFsU+tprfeegvPPPMM1q1bh8TERN/zM2bMwDe+8Q1MmDABs2fPxjvvvIORI0filVde6fF1li9fDpvN5nuUlpZe2we6BkWl7Qv8pVphMeoViyMUSevhFJfWKxoHKUsUxY594NiLGlBRFiNGJkUBAIr4PSSZyZrgJCQkQK/Xd+utqaqq6tar80Xr1q3D4sWL8c4772DevHm9HqvT6TB16tQr9uCYzWZER0d3eShFurBOat8fiQJH2pPqfE0zF/wLYRW2VlQ1OKDXCRjHXtSAkxoaRazDIZnJmuCYTCbk5uaioKCgy/MFBQWYOXPmFX/vrbfewkMPPYQ333wTt91221XfRxRFFBcXIyUl5ZpjlpvUauHS8IFnDTP6FvwrLuUwVaiSevCyk6MQZmIvaqBNbG9o8DtIcpN9+c5ly5Zh0aJFmDJlCvLy8vCnP/0JJSUleOSRRwB4h4/Kysrw17/+FYA3uXnggQfwm9/8BjNmzPD1/oSFhcFq9ba2nn32WcyYMQMjRoyA3W7Hyy+/jOLiYvzud7+T++NcE0ebG8faF/iblM6ucSVMGhKLM5ebUFxSjxuze+9FpOAkrWbNRoYypGL/gxe9SzYY9FxvluQh+1/WwoULsXLlSjz33HOYOHEitm7dio0bNyIjIwMAUFFR0WVNnD/+8Y9oa2vDf//3fyMlJcX3eOKJJ3zH1NfX49vf/jZGjx6N/Px8lJWVYevWrZg2bZrcH+eaHCm3w+n2IC7CxKmpCpFajxz/D13S0MhENjIUMWxQJCLNBjQ73Th5qVHpcCiIBWQDlkcffRSPPvpojz9bs2ZNl///7LPPrvp6L730El566SU/RBZYxZ3qbzg1VRmdC409HhE6Hf8dQonL7cGhMu8Cf+zBUYZeJ2BCuhWfn65BcWk9clKVq4mk4Ma+wQBi/Y3yRiVFIcyoR0NrG85Ws/UYao5XNMDR5oE1zIjM+AilwwlZ0hA9N78lOTHBCSDpy8yuceUY9DqMS/PWcnE11dAjFbZOSI9h752COgqN6xWNg4IbE5wAudzgwMW6FggCMD6dU1OVxPVwQheXaVCHie3fwdOXG2FvdSkbDAUtJjgBIt1Mhw+KRLTFqGwwIU66uXEdjtAjfQ8ncphYUdIeYKIIHCy1KR0OBSkmOAEidY2z/kZ50jTVE5V2NDvbFI6GAqWuyYmz1U0AgIlpMcoGQ6zDIdkxwQkQX9c4l4ZXXFK0BalWCzyidy0OCg3FF+sBAFkJEYiNMCkbDHWsaMyhYpIJE5wAcHtEHJC6xjn2rwoTuVx8yCn2rX8To2gc5NW50FgURWWDoaDEBCcATlc1osnpRrhJ79tojpQldY9zufjQwWUa1CUnNRomvQ61TU6U1DYrHQ4FISY4ASCNMY9Ps0LPqamqIPXg7C9h6zEUeLr0onKYWA3MBr1vkT/OaCQ5MMEJANbfqM/YVCsMOgGXGxwot7UqHQ7J7FxNE2wtLpgNOmSnsBdVLbizOMmJCU4AFLP+RnXCTHrfja6YF9egJ/0bjxtshZGbO6oG94YjOfGbLrOGVhdOVjUA4OJiasNpqqGjiMs0qNLk9l7to+U2tLrcCkdDwYYJjswOXbRBFIHBMWFIjLYoHQ51whWNQ0exr8CYw8RqkhYbhoRIE1xuEUcr7EqHQ0GGCY7MirhyqmpJ3eOHymxwtnmUDYZk0+J041iFtxeVw8TqIghCxzAVh4rJz5jgyIx736hXZkIEYsKNcLR5cLySrcdgdbjcBrdHRGKUGSlW9qKqjdSrxqFi8jcmODISRbFT13iMorFQd4IgYEL7kv0HOEwVtIp9sxhjIAhcpkFtpB6cA+0rTRP5CxMcGZXVt6C60QGDTsCYVO4grkYTOIsj6EmNjAnsRVWlcWlWCAJQWtuCmkaH0uFQEGGCIyPpwpqdEgWLUa9sMNQjaeiQPTjBi8s0qFu0xYhhgyIBsOCf/IsJjoy4/5T6Sa36M5e9C8FRcKlqaEVZfQsEARjPHcRVayIbGiQDJjgy8nWN88KqWnERJgyJCwcAHGQNQNA5UOrdLX5EYiQizQaFo6Er4VAxyYEJjkxcbg8OlXkvriwwVjffrsacphp0pM1U2Yuqbp2Hij0e7g1H/sEERyYnLzWg1eVBlNmArIRIpcOhXnAWR/Aq5gabmjAqOQpmgw721jacq2lSOhwKEkxwZCJdWMenW6HjDuKqJnWPF5dyZ/Fg4vGIONg+RDUhnbMY1cyo12HsYO+/EetwyF+Y4MhEGu5g17j6jUmNhlEvoLrRiYt1LUqHQ35ytroRDY42hBn1GJXEHcTVbmKnhgaRPzDBkQm7xrXDYtRjdEo0AA5TBZOiTjuIG7iDuOoxwSF/47deBg2tLpy+3AiAXeNaIc10Y6Fx8OhY4I/fQS2QEpxjFXbuLE5+wQRHBl12EI/i3jdawNZj8JF649iLqg1psWGIj+DO4uQ/THBkUMQF/jRH2u39cLkNLjd3Fte6Vpcbx6UdxLlMgyZ03lmcPankD0xwZMAVjLUnMz4C0RYDWl0enKhsUDocukaHy2xo84gYFGVGKncQ1wz2pJI/McHxs847iHNzP+3Q6YQu08VJ2zqvIs4dxLVjAtekIj9iguNnFbZWVDU4oNcJGDeYxY1awv1wgoeU4HAVcW2REpwLNc2obXIqGwxpXkASnFdffRWZmZmwWCzIzc3Ftm3bej1+y5YtyM3NhcViQVZWFv7whz90O2b9+vXIycmB2WxGTk4ONmzYIFf4/SLdHEclRSHMxB3EtYTd48GDO4hrkzXMiKxBEQDY0KBrJ3uCs27dOixduhRPP/00ioqKMHv2bNxyyy0oKSnp8fhz587h1ltvxezZs1FUVIQf/ehHePzxx7F+/XrfMTt37sTChQuxaNEiHDhwAIsWLcKCBQuwe/duuT/OVfkurGw5ao7Uejx9uRENrdxZXKuqGx24WOfdQXxcGntRtWZi+5IN3HiTrpXsCc6LL76IxYsX4+GHH8bo0aOxcuVKpKen4/e//32Px//hD3/AkCFDsHLlSowePRoPP/wwvvWtb+HXv/6175iVK1di/vz5WL58ObKzs7F8+XLMnTsXK1eulPvjXJVvBhV3ENechEgz0mLDIIreqf6kTVLLf9igSERbjMoGQ/0mNQ7Zg0PXStYEx+l0Yt++fcjPz+/yfH5+Pnbs2NHj7+zcubPb8TfddBMKCwvhcrl6PeZKr+lwOGC327s85NDm9vhujOzB0SZpSIOtR+3i8JS2dd78lnvDaZOtxYXvvlWEP287q+i/oawJTnV1NdxuN5KSkro8n5SUhMrKyh5/p7Kyssfj29raUF1d3esxV3rNFStWwGq1+h7p6ekD/Ui9OlXViBaXG5FmA4YN4g7iWsQ6HO3jLEZty06OhsmgQ32zC+drmpUOhwbgQGk9/nWgHH/deUHRWYwBKTL+4gcURbHXD93T8V98vj+vuXz5cthsNt+jtLS0X/H3VVyECctvycbi6zKh5w7imjSRO4trmsfTsUzDJCY4mmQy6DAm1bs3XHFpncLR0ECoZS04g5wvnpCQAL1e361npaqqqlsPjCQ5ObnH4w0GA+Lj43s95kqvaTabYTabB/ox+iwp2oLvzBkm+/uQfMYOtsKgE3C5wYEKWytSY8KUDon64VxNExpa22A26DAqmTuIa9XE9BgUldTjQKkNX5mUpnQ41E9qGSaWtQfHZDIhNzcXBQUFXZ4vKCjAzJkze/ydvLy8bsdv2rQJU6ZMgdFo7PWYK70mUV9ZjHpkp3hvjBym0p7iTjuIG7mDuGaxFk671LTYrexXgGXLluHPf/4zVq9ejWPHjuHJJ59ESUkJHnnkEQDe4aMHHnjAd/wjjzyCCxcuYNmyZTh27BhWr16NVatW4amnnvId88QTT2DTpk14/vnncfz4cTz//PPYvHkzli5dKvfHoRDg21mcF1fNUcuFla6Nb2fxcjscbdxZXEsu1rWgpskJo17wDTUqRfYEZ+HChVi5ciWee+45TJw4EVu3bsXGjRuRkZEBAKioqOiyJk5mZiY2btyIzz77DBMnTsTPf/5zvPzyy/ja177mO2bmzJl4++238frrr2P8+PFYs2YN1q1bh+nTp8v9cSgEcMM/7erYQTxG0Tjo2gyJC0dchAlOtwfHKrg3nJZIjYzRKdGwGJVd7FbWGhzJo48+ikcffbTHn61Zs6bbc3PmzMH+/ft7fc27774bd999tz/CI+pCWt7/UJkNbW4PDBzq0IRWlxvHKrxLQDDB0TZBEDAhzYpPT1xGcUkd/z01pPM+cErjlZvoC7ISIhFlNqDF5cbJS41Kh0N9dKTcDpdbREKkCWmxLA7XuonpsQA4VKw1aikwBpjgEHWj0wkYn+5d4p8XV+3gDuLBZQK/g5rjcntwuEw9i90ywSHqQcd6OFyHQyvUsvYG+Yf073i+phn1zdxZXAtOVDbA0eZBtMWAzPgIpcNhgkPUE2n8+EAp96TSCm50G1xiwk3ITPDeJNmLow1FnWYx6lSw2C0THKIeSDfJk1UNaHS0KRsMXVVNowMltd5l/ceroLiR/INbp2iLNPNULb2oTHCIepAYZcHgGO/O4gfbpx6Teh1s3+Q2a1AErGHcQTxYTEjz1uFwZ3FtUNsyDUxwiK6ArUftKGL9TVCaOKRjJhX3hlM3e6sLZy57Z52qZaFNJjhEV+CbxcEF/1SPG2wGp9EpUTDpdahrdvmGIEmdDpbaIIpAWmwYEiLl3/uxL5jgEF2BtA7HAQ5RqZooip1mUMUqGwz5ldmgR45vZ/F6ZYOhXqlteApggkN0RWMHR0OvE3DJ7kCFrUXpcOgKztc0w9bigok7iAclDhVrQ5HKCowBJjhEVxRuMmBkUvvO4hymUi1praKxqdEwGXhJCzZMcNSv8w7iTHCINIIXV/XrmJrK4algJH0Hj5Tb4WzzKBsM9aisvgXVjQ4YdALGDrYqHY4PExyiXkxigqN6xRfVszQ8+V9GfDhiwo1wtnlwvNKudDjUA2lB1OyUKMV3EO+MCQ5RL6TpjofKbHB7OE1VbRxtbhwrb99BnAv8BSXvzuIxANjQUCtpmFgNO4h3xgSHqBfDEyMRaTag2enGyUsNSodDX3C03A6n24O4CBPS47iDeLDyDRWzFk6V1Fh/AzDBIeqVXidgfBp3NVarzuvfcAfx4DWpffiR30H1cbk9ONS+g/ikIeqqg2OCQ3QVUqukqIQ7i6uNGqemkv9J/75nq5u4s7jKnKhsQKvLgyiLAVkJyu8g3hkTHKKrmNRpuXhSF18PjspajuRfMeEm382T30N16bxNihp2EO+MCQ7RVUitx1NVjbC3upQNhnyq23cQFwRgfLp6pqaSPDp6UusVjYO6knq21bhNChMcoqsYFGVGWmz7zuLt0yFJeVLB6fBBkYi2cAfxYCfV4RSxB0dVpO+hGntRmeAQ9UHHMBXrcNRCrTM3SB6+veFK6+Hhkg2qUN/sxNnqJgDq/B4ywSHqA3aPq09Re7KpxpYj+V92ShTMBh1sLS6cq2lSOhxCRyNjaHw4YiNMygbTAyY4RH3QeZqqKLL1qDS3R/StnqrGliP5n1Gvw7j2bQC4Ho46qL3InwkOUR/kpETDqBdQ0+REaS13FlfamcuNaHS0Idykx8ikSKXDoQDpqMPhULEaqH2ZBiY4RH1gMeqRk+ptPfLiqjxp5sb4NCsMel7GQoXUU8ChYuV13kF8kkr3geOVgaiPJrEORzU6CozV2TVO8pB6Co5XNqDF6VY2mBB3rroJthYXzAYdspOjlQ6nR0xwiPqI01TVo8g3NTVG0TgosFKsFiRFm+H2iL7tAUgZ0ndw7GArTAZ1phLqjIpIhSa19xYcK7fD0cbWo1IaHW2+jU/VuLgYyUcQhI6NNzlUrKjO+8CpFRMcoj5KjwtDXIQJTrcHR8rtSocTsg5erIdHBAbHhCEx2qJ0OBRgrMNRB6kWcaKKe1GZ4BD1kSAIvtYKp6kqhwv8hbaOHpx6ReMIZS1ON45XtPeiqnSKOMAEh6hfWIejPNbfhLbxaVboBKDC1ooKG5dsUMLhchvaPCISo8xItaq3F1XWBKeurg6LFi2C1WqF1WrFokWLUF9ff8XjXS4XfvCDH2DcuHGIiIhAamoqHnjgAZSXl3c57oYbboAgCF0e9957r5wfhQhAx6wdaZoyBZYoiqpfe4PkFW4yYFT7rB32pCpDuv5NTI+BIKhrB/HOZE1w7rvvPhQXF+Ojjz7CRx99hOLiYixatOiKxzc3N2P//v34yU9+gv379+O9997DyZMnceedd3Y7dsmSJaioqPA9/vjHP8r5UYgAeHetFgTgYl0LLjc4lA4n5JTVt6C60QGDTsDYwdxBPFR1XlmcAk/tKxhLDHK98LFjx/DRRx9h165dmD59OgDgtddeQ15eHk6cOIFRo0Z1+x2r1YqCgoIuz73yyiuYNm0aSkpKMGTIEN/z4eHhSE5Olit8oh5FW4wYPigSp6oaUVxaj/k5SUqHFFKk3pvRKdGwGPXKBkOKmZgegzd3l7DQWCFa6UWVrQdn586dsFqtvuQGAGbMmAGr1YodO3b0+XVsNhsEQUBMTEyX59euXYuEhASMGTMGTz31FBoaGvwVOlGvOlqPHKYKNLWvnEqBMbn93/9gWT3a3B5lgwkxlbZWVNhaoRO89VBqJlsPTmVlJRITE7s9n5iYiMrKyj69RmtrK374wx/ivvvuQ3R0x0qJ999/PzIzM5GcnIzDhw9j+fLlOHDgQLfeH4nD4YDD0TGcYLdzii8N3KQhsXin8CL2X6hXOpSQs7/T2D+FrqyESERZDGhobcPxygYOVwaQVH8zMikKEWbZUgi/6HcPzjPPPNOtwPeLj8LCQgDosfhIFMU+FSW5XC7ce++98Hg8ePXVV7v8bMmSJZg3bx7Gjh2Le++9F++++y42b96M/fv39/haK1as8BU6W61WpKen9/djE/lMbh93PnCRrcdAanW5caTM2zjJzVD32D/JS6cTfPUf+1nwH1DS+dbCd7DfCc5jjz2GY8eO9foYO3YskpOTcenSpW6/f/nyZSQl9V634HK5sGDBApw7dw4FBQVdem96MnnyZBiNRpw6darHny9fvhw2m833KC0t7fsHJvqCEYmRiDIb0Ox043glh0YD5Ui5DU63B/ERJgyJC1c6HFKYNEy17wITnECSzvdklRcYAwMYokpISEBCQsJVj8vLy4PNZsOePXswbdo0AMDu3bths9kwc+bMK/6elNycOnUKn376KeLj46/6XkeOHIHL5UJKSkqPPzebzTCbzVd9HaK+0OkETBwSg22nqlFUUsfu8QCRhgQnZ8SqemoqBYbUg8AenMBxtLlxWEO9qLIVGY8ePRo333wzlixZgl27dmHXrl1YsmQJbr/99i4zqLKzs7FhwwYAQFtbG+6++24UFhZi7dq1cLvdqKysRGVlJZxOJwDgzJkzeO6551BYWIjz589j48aNuOeeezBp0iTMmjVLro9D1MVkX/d4vbKBhBDpRqaFliPJz7sGC1Ba24KqhlalwwkJR8rtcLo9iIswISNe/b2osq6Ds3btWowbNw75+fnIz8/H+PHj8cYbb3Q55sSJE7DZvLvCXrx4Ee+//z4uXryIiRMnIiUlxfeQZl6ZTCZ88sknuOmmmzBq1Cg8/vjjyM/Px+bNm6HXc9ooBYbUemH3eGCIoug711poOZL8oixGjEqKAgAW/AfI/k7DU1roRZW1BDouLg5/+9vfej1GFEXffw8dOrTL//ckPT0dW7Zs8Ut8RAM1cYi39VhS24zLDQ4MiuIQqJzK6ltQ1eBd4E/tU1MpcCYNicXxygYUldTh5rFcF01uvl7UjBhlA+kj7kVFNADRFiNGJEYCYA1AIEi9NzmpXOCPOrDQOHA696JqZZiYCQ7RALHIMXCklVO1cmGlwJC+gwfLbHC2cckGOZXbWnHJ7oBeJ2BCWozS4fQJExyiAfKtw8HWo+x8LUfW31AnmQkRiA03wtnmwZFym9LhBDVfL2pKNMJM2uhFZYJDNEC+1uNFth7l1Oxsw9EK7UxNpcARBIEzGgNkvwaL/JngEA1QVkIEYsKNcLR5fDdg8r+DF21we0QkRZuRarUoHQ6pjNSrx55UeUlD8VraB44JDtEACYKASe17IvHiKp/O699oYWoqBZZ0w2UtnHxaXW4cLfc24rRUB8cEh+gasNBYftIaJ1rqGqfAmZAWA71OQIWtFeX1LUqHE5QOXrShzSMiMcqMtNgwpcPpMyY4RNdgMguNZSWKYqeucSY41F2E2YDs5PYF/9jQkMU+jS3wJ2GCQ3QNJqTHQCd4p1BW2Nh69LcLNc2obXLCpNdh7ODeN92l0OXrSeWKxrLQ0g7inTHBIboG3taj98bLi6v/SS3HsYOjYTZoY2oqBZ7Uk7qPPTh+J4pixxYNGlnBWMIEh+gasQ5HPlptOVJgSX8fR8ttaHW5FY4muJTUNqOmvRd1TKq2tklhgkN0jaRWDZeL9z+tLQ1PykiLDUNCpBkut4hDZVzwz5+k7+CYwdrbJoUJDtE1km6+R9h69KtGRxtOXmoAwBWMqXfeBf9iALDg3986L9OgNUxwiK7RkLhwJESa2Hr0s+KSenhEYHBMGJKiucAf9U4apipkguNX+9prC5ngEIUgQRAwJSMOAFB4nhdXf9l7vhYAMHWo9i6sFHhThnq/g/su1EEURYWjCQ72VheOV3oX+NPi95AJDpEfTGn/8ks3Zbp20rmUblxEvRk32AqzQYfaJifOXG5SOpyg4E0WgYz4cCRqsBeVCQ6RH0zLlHpwauHxsPV4rVxuD4raN0+Uzi1Rb0wGHSa2b51SyIaGXxT6elG1+R1kgkPkBzkp0Qg36WFvbcOpqkalw9G8o+V2tLjcsIYZMXxQpNLhkEZIN+K9HCr2C+k8anF4CmCCQ+QXBr3Ot+nfHrYer5lveCojFjqddpaGJ2VxqNh/HG1uFJfWA9DuMDETHCI/kVqP7B6/dr4CYw5PUT/kZsRCJ3gXp7tkb1U6HE07XGaDs82D+AgTshIilA5nQJjgEPlJR4LD7vFrIYqi7xxqtWuclBFlMfq2TuH38NpIw1NThmprg83OmOAQ+cnE9BjodQLK6ltQVs+NNwfqbHWTd2l4gw5jB2traXhS3lQOU/nF3nPaLjAGmOAQ+U2E2YCxqVLrkRfXgZLO3cT0GG6wSf0mDWsywRk4j0f0LZjIBIeIAHQU4/HiOnBan7lBypIW3TxWYUdDq0vhaLTp9OVG2FpcCDPqkdPeaNMiJjhEfuTrHj/H8f+B4gJ/dC2SrRakx4XBIwL729dSov7Z0z48NWlIDIx67aYJ2o2cSIWkm/KJSw2wNbP12F9V9lZcqGmGIHTsLUTUX5zReG20vsCfhAkOkR8lRJp9Uyr3lfDi2l/SuH92cjSiLUaFoyGtmsqh4mvSMUzMBIeIOpEWG9vDYap+23OOG2zStZP+fopK6uFs8ygcjbaUt88C1esE3+KlWsUEh8jP2D0+cIUXgqNrnJQ1bFAkYsONcLR5cLjcpnQ4miL1eo1JjUaE2aBwNNeGCQ6Rn0k354MXbWh1uRWORjsaHW04Wm4H0NELRjQQgiD46uHY0OgfaYFEaTaaljHBIfKzjPhwJESa4XR7cPAiW499tf9CHTwikBYbhhRrmNLhkMZN5VDxgPi2SQmCRoasCU5dXR0WLVoEq9UKq9WKRYsWob6+vtffeeihhyAIQpfHjBkzuhzjcDjw3e9+FwkJCYiIiMCdd96JixcvyvhJiPpOEARMy+Rqqv0ltbSncXiK/EDqSd13oRYej6hwNNpga3bhxKUGAMGxTIOsCc59992H4uJifPTRR/joo49QXFyMRYsWXfX3br75ZlRUVPgeGzdu7PLzpUuXYsOGDXj77bexfft2NDY24vbbb4fbzeEAUgepe1cqmqWrk3Zhzw2CliMpb0yqFRajDnXNLpy+3Kh0OJqwr6QWoggMjQ/HoCiz0uFcM9kqiI4dO4aPPvoIu3btwvTp0wEAr732GvLy8nDixAmMGjXqir9rNpuRnJzc489sNhtWrVqFN954A/PmzQMA/O1vf0N6ejo2b96Mm266yf8fhqifpmd1jP+73B5NL5YVCK0ut29RthlZ8coGQ0HBZNAhNyMWn5+uwa6zNRiZFKV0SKq380wNgOD5Dsp21d25cyesVqsvuQGAGTNmwGq1YseOHb3+7meffYbExESMHDkSS5YsQVVVle9n+/btg8vlQn5+vu+51NRUjB079qqvSxQoo5OjERNuRJPTjUNlrMO5mv0ldXC2eZAY1bGOENG1ymu/UUs3burdzrPe85Q3jAlOryorK5GYmNjt+cTERFRWVl7x92655RasXbsW//nPf/DCCy9g7969uPHGG+FwOHyvazKZEBvbtRs7KSnpiq/rcDhgt9u7PIjkpNMJmN6+6d+us7y4Xs2us97hqbxh8RAEQeFoKFhIN+rd51iHczW2FheOtM9iDNkenGeeeaZbEfAXH4WFhQDQ44VKFMVeL2ALFy7EbbfdhrFjx+KOO+7Ahx9+iJMnT+KDDz7oNa7eXnfFihW+Qmer1Yr09PR+fGKigZnB1mOf7QqyrnFSh3GDYxBm1KO2yYmTVQ1Kh6Nqe85562+yEiKQFG1ROhy/6HcNzmOPPYZ7772312OGDh2KgwcP4tKlS91+dvnyZSQlJfX5/VJSUpCRkYFTp04BAJKTk+F0OlFXV9elF6eqqgozZ87s8TWWL1+OZcuW+f7fbrczySHZSa3HwvN1rMPpRYvTjaJS71TePCY45Ecmgw5ThsZi26lq7DxTg+xk7e6MLTepp3lGkAxPAQNIcBISEpCQkHDV4/Ly8mCz2bBnzx5MmzYNALB7927YbLYrJiI9qampQWlpKVJSUgAAubm5MBqNKCgowIIFCwAAFRUVOHz4MH75y1/2+Bpmsxlms/YrwklbRiZGIS7ChNomJw5erEduECycJYd9F+rgcotIsVqQER+udDgUZPKGxfsSnG/OylQ6HNWSepqDqZEhW5Ny9OjRuPnmm7FkyRLs2rULu3btwpIlS3D77bd3mUGVnZ2NDRs2AAAaGxvx1FNPYefOnTh//jw+++wz3HHHHUhISMBXvvIVAIDVasXixYvxve99D5988gmKiorwjW98A+PGjfPNqiJSg851OBymujJfyzGL9Tfkf9KwJ+twrqy+2Yljld76G2kGaDCQtc987dq1GDduHPLz85Gfn4/x48fjjTfe6HLMiRMnYLN5Z5no9XocOnQIX/7ylzFy5Eg8+OCDGDlyJHbu3ImoqI4pfi+99BLuuusuLFiwALNmzUJ4eDj+9a9/Qa/Xy/lxiPpNGqaSimipO9/MjSBqOZJ6jBtsRYRJD1uLy3cTp652t9ffDE+MRGJUcNTfADKugwMAcXFx+Nvf/tbrMaLYkVGHhYXh448/vurrWiwWvPLKK3jllVeuOUYiOUk37cILtXC0uWE2MAnvrMnRhgOl9QCCZ2oqqYtRr8PUzDh8duIydp6pwZhUq9IhqU4wDk8B3IuKSFbDEyOREGlCq8uDA6VcD+eL9l2oQ5tHxOCYMKTFcv8pkoc0TMWe1J51HiYOJkxwiGQkCAKm+y6urMP5op2sv6EAyPPV4dTAzTqcLmqbnDhe6Z1CPyOI6m8AJjhEsuNqqlfm6xrn8BTJaExqNKLMBjS0tuFoOetwOtvd3sgYlRSF+Mjgmm3MBIdIZtLNe19JHVpd3BBW0uho821jEWwtR1IXg16HadKMxrPVCkejLsG2PUNnTHCIZJaVEIFBUWY42zwobi+oJWDv+Vq4PSLS48KQFsv1b0herMPpWUf9TfA1MpjgEMlMEAQOU/VgV5DO3CB1knoo9pyrRZvbo3A06lDd6MDJS40QBGB6ZvB9D5ngEAWAdHHdyUJjn2DuGif1GZ0SjWiLAY2ONhxmHQ6Ajt6b7ORoxEaYFI7G/5jgEAWA1D1eXFLPOhwA9lYXDvvqb5jgkPz0OgHTMjmjsbNgHp4CmOAQBcTQ+HCkWC1wuj3Ye541ALvP1sIjSueF699QYEi9hZ+fZqExAOw4HdzDxExwiAJAEARcN9y7Se22U7y4bj15GQAwe8QghSOhUHL9CO93cM+52pDvSS2tbcbZ6ibodULQDhMzwSEKkNkjvTdz6eYeyraekhKcBIUjoVAyPDESydEWONo82H0utHtSpe/g5CExiLIYFY5GHkxwiAJk9vAECAJwvLIBl+ytSoejmAs1TbhQ0wxDELccSZ0EQcD1I71Jdag3NKTPf30Q96IywSEKkNgIE8YP9m70F8oXV+mzT86IDdqWI6nX9exJhcvt8dXfSOcjGDHBIQog38U1hOtwtpz0fvY5QXxhJfW6bngCdAJwqqoR5fUtSoejiOLSejQ42hAbbsTYwcG7uzoTHKIAkhKc7acuh+Smfy63BzvPeBOcYO4aJ/WKCTdhfFoMAGB7iDY0pN6r60YMgl4XvJvcMsEhCqCJ6TGIMhtQ19yxDkwo2X+hDk1ON+IjTBiTGq10OBSipIbGllOhOUzVUX8T3EX+THCIAsio12HmcG9hbSjWAEgzN64bkQBdELccSd3mtBcabz9VHXI9qbVNThxsb1wFc/0NwASHKOCktV+2hmDrcWt7/Q3XvyElTUiLQZTFAFuLCwcv1isdTkBtP10NUQRGJUUhKdqidDiyYoJDFGBSce3+knrYW10KRxM4NY0OHC5vbzkGedc4qZtBr8OsYdJ08dCqw/ENT40M/u8gExyiAEuPC0dmQgTcHjGkdheXWo7ZyVFIDPKWI6lfx4zG0OlJFUUR205JCU7w96IywSFSgNSDEUp1OFvaPyunh5MaSD0YxaX1sLWERk/qyUuNuGR3wGLUYerQ4NxgszMmOEQK6Nx6FMXgL3L0thzbp4czwSEVSIsNR9YgqSc1NIappAbV9Mx4WIx6haORHxMcIgXMyIqHUS+gtLYF52ualQ5HdscrG3C5wYEwox5ThsYqHQ4RgI61mLaESB3O1hAangKY4BApIsJswJQMbxdxKAxTSZ9xRlYczIbgbzmSNszptG1DsPektjjdvg1G54RAgTHABIdIMbPbLzKfnahSOBL5SfU3nB5OajI9Kw4mvQ5l9S04c7lR6XBktetcDZxtHqRYLRg2KFLpcAKCCQ6RQuZmJwEAPj9TgyZHm8LRyMfW7PK1HG/MTlQ4GqIO4SYDZrTvaF9wNLgbGgVHLwEAvpSdCEEIjUU2meAQKWRkUiQy4sPhbPME9TDVf05cgtsjYlRSFIYmRCgdDlEX+Tnehsamo5UKRyIfj0f0JTg3jUlWOJrAYYJDpBBBEDB/tHRxvaRwNPLZdMT72fLHJCkcCVF389sTnKKSelTZWxWORh7FF+txucGBSLMBM7KCf3q4hAkOkYLy21tT/zleBZfbo3A0/tfqcvvqb6QbCZGaJEVbMCE9BgCw+VhwDlNJvTc3jBoUUkX+THCIFJSbEYu4CBNsLS7sba9TCSY7zlSj2elGcrQF4wZblQ6HqEfBPky16Yj3c+WH0PAUwASHSFF6nYB5o72Ft8E4TNV5eCpUChtJe25qHz7dcboGDUG2P9zpqkacudwEo17ADaNCaxYjExwihc3P8baqNh2pDKq1ONweEZuPtSc4OaHVciRtGTYoElkJEXC6Pb4h1WAhDU/NyIpHtMWocDSBJWuCU1dXh0WLFsFqtcJqtWLRokWor6/v9XcEQejx8atf/cp3zA033NDt5/fee6+cH4VINrNHJCDMqEe5rRVHyu1Kh+M3xaV1qG50IspiwPQQKmwk7REEAfPbe3EKgqwnteBoaA5PATInOPfddx+Ki4vx0Ucf4aOPPkJxcTEWLVrU6+9UVFR0eaxevRqCIOBrX/tal+OWLFnS5bg//vGPcn4UItlYjHrfxn/BNEwlDU/NzU6EUc/OYlI3qZfxP8er4GwLjoL/KnsrikrrAcA3YzOUGOR64WPHjuGjjz7Crl27MH36dADAa6+9hry8PJw4cQKjRo3q8feSk7tmmf/85z/xpS99CVlZWV2eDw8P73YskVbl5yTj4yOXsOlIJZbNH6l0ONdMFEV83F7YOJ/DU6QBk9JjkBBpRnWjA7vP1QTFqtubj1VBFIEJ6TFItlqUDifgZGtW7dy5E1ar1ZfcAMCMGTNgtVqxY8eOPr3GpUuX8MEHH2Dx4sXdfrZ27VokJCRgzJgxeOqpp9DQ0HDF13E4HLDb7V0eRGpyY3Yi9DoBxysbUFqr/c03T1c14nxNM0x6HeaEWGEjaZNOJ2B+TnvB/5Hg6EmVZoXlh+gSDbIlOJWVlUhM7L4se2JiIior+zYV7y9/+QuioqLw1a9+tcvz999/P9566y189tln+MlPfoL169d3O6azFStW+OqArFYr0tPT+/dhiGQWG2HC1PZdtoNhmEr6DLOGxyPSLFtHMZFfScNUBUcvab7gv9HRhh2nawAwwemzZ5555oqFwNKjsLAQAHqcFiqKYp+ni65evRr3338/LJauXWtLlizBvHnzMHbsWNx777149913sXnzZuzfv7/H11m+fDlsNpvvUVpa2s9PTSS//E6zqbROSnBCsbCRtCtvWDwiTHpU2ltxqMymdDjXZMuJy3C6PchMiMDwxNDYXPOL+t20euyxx646Y2no0KE4ePAgLl3q3hK9fPkykpKunk1u27YNJ06cwLp166567OTJk2E0GnHq1ClMnjy528/NZjPMZvNVX4dISfNzkvDcv49i7/la1DY5ERdhUjqkAam0teJAaT0EAZg7mptrknZYjHrcMCoRHxyqwMdHKjE+LUbpkAas8/BUqK5B1e8EJyEhAQkJCVc9Li8vDzabDXv27MG0adMAALt374bNZsPMmTOv+vurVq1Cbm4uJkyYcNVjjxw5ApfLhZSUlKt/ACKVSo8Lx5jUaBwpt+ODQxVYNCND6ZAG5N8HywEAk4fEIjEq9AobSdvyxyThg0MV+PfBCjyVP0qTyUGzs8033T2U94CTrQZn9OjRuPnmm7FkyRLs2rULu3btwpIlS3D77bd3mUGVnZ2NDRs2dPldu92Ov//973j44Ye7ve6ZM2fw3HPPobCwEOfPn8fGjRtxzz33YNKkSZg1a5ZcH4coIO6aOBgA8I+iMoUjGbgN7bHfNWmwwpEQ9d/8nCSEm/S4UNOM/SX1SoczIAVHL6HZ6caQuHBMHhKrdDiKkXVxirVr12LcuHHIz89Hfn4+xo8fjzfeeKPLMSdOnIDN1nWs8+2334Yoivj617/e7TVNJhM++eQT3HTTTRg1ahQef/xx5OfnY/PmzdDrQ2cTMQpOX56YCp0A7LtQhws1TUqH028nLzXgSLkdRr2A28exR5W0J9xkwM1jvbVjG4ouKhzNwLy3v6ORocUeKH8RRK2Xig+A3W6H1WqFzWZDdHS00uEQdbFo1W5sO1WNpfNGYOk8ba2J838fHscftpxBfk4S/vTAFKXDIRqQ7aeq8Y1VuxETbsSeH82DyaCdhSqrGlox4xefwCMCnz51AzITIpQOya/6c//Wzr8aUYj46mTv0M6GojJNTVX1eET8s9jbcvwKh6dIw/KGxSMp2oz6Zhc+PVGldDj98n5xOTwiMGlITNAlN/3FBIdIZW4ak6zJGoBdZ2tQYWtFtMWAGzl7ijRMrxPw5fZ6uA37tVUPJ9XAfZWNDCY4RGoTbjLgpjHaqwF4r/3Cetv4VJgNrIcjbZN6If9zvAq2ZpfC0fSNVANn0Am4bXyq0uEojgkOkQpJF9d/H6zQxMZ/LU43PjxUAaBjiI1Iy0anRCM7OQpOtwf/PlSudDh9IhUX3zAqUbPraPkTExwiFZo1PAGJUdqpAdh0tBJNTjfS48IwJSN0p6VScPHVw2lgmKpzDRwbGV5McIhUyFsD4O1i1sLFVRr3/8rE0J6WSsHlyxMHQxCAwgt1KKlR9ya4Ug1clMWAG7NZAwcwwSFSra9MSgOg/hqAyw0ObDtVDYCL+1FwSYq2YNYw78r9G1S++KZUA3f7+BRYjKyBA5jgEKlWTqo2agDeP1AOt0fEhPQYZA0KzU39KHhJ9XAbii6qdtmGzjVwUsOImOAQqZp0cX1nb6kqL66iKOLvhaUAOC2VgtPNY5MRZtTjfE0z9pyrVTqcHm08VIEmpxtpsayB64wJDpGKfS03DSaDDgcu2rC/pE7pcLrZcaYGxysbEGbU+/bRIgomEWYD7prkrYdb/fk5haPpThRFrNrujevr04ZAp2MNnIQJDpGKJUSa8ZX2xOHP29R3cf3ztrMAgAVT0mANNyocDZE8vjUrEwCw6egl1e0Rt/NsDY5W2BFm1OP+6UOUDkdVmOAQqdy3rvNeXD8+UonSWvXM5Dhd1YhPT1yGIADfbL8BEAWjEUlRmDNyEEQReP3z80qH08Xq9t6br+UORkw4177pjAkOkcqNSo7C7BEJ8Kjs4ip118/NTsLQEN/zhoLf4vaGxjuFpbC1qGNW49nLjdh8zLtOFhsZ3THBIdKAzhfXhlblL651TU68t9+7jcTDs3lhpeA3e0QCRiZFotnpxrq9JUqHA6CjwTM3OxHDOIOxGyY4RBowZ+QgDE+MRKOjDev2liodDt7cU4JWlwdjUqMxPTNO6XCIZCcIgq+hsebz82hzK7uFSn2zE+/u8zYypLioKyY4RBogCIKv0PF1hS+uzjYP/rLjPADvhZUrF1Oo+PLEwYiPMKHc1ooPD1cqGsube0rQ4nIjOzkKecPiFY1FrZjgEGnEVycPRmy4EWX1Ldh09JJicfz7YDmqGhxIjDLjdu5YTCHEYtTjGzMyAMA3NVsJLrcHf91xAQDw8OwsNjKugAkOkUao4eLaec2NB2cOhcnASwiFlm/MyIBJr0NxaT32XVBmbaqNhypQaW9FQqQZd0xIUSQGLeDViUhDFuV5L677LtRh19magL//lpOXcaTcDotRh/umcc0NCj2Dosy+hf9e/fR0wN/f7RHx+8/OAAAezMuA2cB9p66ECQ6RhiRGWXDPFO9eM8/96yjcnsBt3+Bye/A/HxwDANw/PQOxEVxzg0LTd+YMg0En4JPjVdh68nJA33vd3lIcr2xAtMXg69GlnjHBIdKYZfNHIspiwNEKO94pDNyMqjd2XsDpqkbERZjw+NwRAXtfIrUZNigSD+QNBQA89++jcAWo6N/W4sKvN50AACydN5KNjKtggkOkMfGRZjw5byQA4FcfnwjIomM1jQ68tPkkAOCp/FGwhnFbBgptT8wdgbgIE05XNeJvuy4E5D1/s/kUapucGJ4YiUV57L25GiY4RBq0KC8DwwZFoLbJiZc/OSX7+71QcBINrW3ISYnGwqnpsr8fkdpZw434Xr63ofFSwUnUNDpkfb/TVQ34687zAICf3J4Do56376vhGSLSIKNeh5/eMQYA8Jcd53G6qlG29zpSbsNbe7wrt/7sjhzouVsxEQDg3qlDMDolGvbWNrxYcFK29xFFEc/9+xjaPCLmjU7EnJGDZHuvYMIEh0ij5owchHmjE9HmEfE/HxyV5T1EUcRz/zoKUQRuG5+C6VlcUIxIotcJeOaOHADAW3tKcLTcLsv7fHrCW8xs1Av48W05srxHMGKCQ6RhT9+WA6NewGcnLuM/x/2/+N/GQ5XYfa4WZoMOP7p1tN9fn0jrpmfF47bxKfCIwLP/OgJR9O/MRmebBz//t3f24reuy+TGtv3ABIdIwzITInxbOPxg/SFcrGv222ufr27Cj/9xCADwyJxhGBwT5rfXJgomy2/Jhtmgw+5ztXi1fY0afxBFET/952Gcq25CQqQZj31puN9eOxQwwSHSuMfnjkB2chQuNziweE0h7H7Ybby+2YlvrdmLumYXxqdZ8V83DPNDpETBKS02HD+53Tt09KuPT+BfB8r98rp/3HoWb+8thU4Afnn3OERZOHuxP5jgEGlchNmA1Q9NRWKUGScuNeC/1+6/pnU5nG0efOeNfThb3YTBMWH484NTYDFytVSi3nxjRoZvV+/v/f0A9l2ovabX23ioAv/34XEAwE9vz8GN2UnXHGOoYYJDFARSY8Kw6sGpCDPqse1UNX72/sBqAURRxA/fO4jd52oR6UucLDJETBR8fnTraMwbnQRnmwdL/roPJTUDGzIuKqnDk+uKAQAPzRyKh9qHoal/mOAQBYlxaVa8/PVJEATgzd0leG3b2X6/xiv/OY339pdBrxPwu/snY1RylAyREgUnvU7Ay1+fiLGDo1Hb5MRDa/bA1ty/IePS2mYs+WshHG0ezM1O9A19Uf/JmuD87//+L2bOnInw8HDExMT06XdEUcQzzzyD1NRUhIWF4YYbbsCRI0e6HONwOPDd734XCQkJiIiIwJ133omLFy/K8AmItGV+TpJvGukvNh7HsneKUdXQetXfq7C14PG3inxreTz35TFca4NoAMJNBqx6cCpSrBacvdyE23+7DZuOVF61R9XjEfHO3lJ85dXPUd3oRE5KNF7++iSuO3UNZE1wnE4n7rnnHvzXf/1Xn3/nl7/8JV588UX89re/xd69e5GcnIz58+ejoaHBd8zSpUuxYcMGvP3229i+fTsaGxtx++23w+12y/ExiDTlW7OG+oqC39tfhht/vQV/2noGzrbudTmtLjd+9+lp3PjrLXj/QDkEAVg6bwTun85l4IkGKinagtUPeZOc0toWfPuNfXjw9b1XXJCzqKQOX3n1c3x//UFUNzoxIjESqx6aggizIcCRBxdB9Pek/R6sWbMGS5cuRX19fa/HiaKI1NRULF26FD/4wQ8AeHtrkpKS8Pzzz+M73/kObDYbBg0ahDfeeAMLFy4EAJSXlyM9PR0bN27ETTfddNV47HY7rFYrbDYboqOjr/nzEalRcWk9fvb+ERworQcAZA2KwPUjBkFobxCKoncBsQvtdQJTMmLxzJ1jMHawVaGIiYJLk6MNr352Gq9tPQen2wODTsCdE1O77OV2yd6KjYcqAQCRZgOWzhuBB/KGwmRgBUlP+nP/VlV6eO7cOVRWViI/P9/3nNlsxpw5c7Bjxw585zvfwb59++Byubock5qairFjx2LHjh09JjgOhwMOR8c+IXa7PKtNEqnJxPQYbPivmVi//yKe/+g4zl5uwtnLTd2OS4wy40e3jsaXJ6ZCENgdTuQvEWYD/t9N2bgnNx3/88FRbD5Whff2l/V47N25afj+zaNY1O9HqkpwKiu9WWxSUtfpcElJSbhw4YLvGJPJhNjY2G7HSL//RStWrMCzzz4rQ8RE6qbTCbhnSjpuGpuMd/aWoq7Z2eXn8RFmLJiajkh2hRPJZmhCBP784FRsP1WNXWdrIKJj4EQvCLhxdBImpscoF2CQ6vdV7ZlnnrlqsrB3715MmTJlwEF9sRUpiuJVW5a9HbN8+XIsW7bM9/92ux3p6dwRmUJHtMWIh2dnKR0GUUi7bkQCrhuRoHQYIaPfCc5jjz2Ge++9t9djhg4dOqBgkpOTAXh7aVJSUnzPV1VV+Xp1kpOT4XQ6UVdX16UXp6qqCjNnzuzxdc1mM8xm84BiIiIiIu3pd4KTkJCAhAR5MtDMzEwkJyejoKAAkyZNAuCdibVlyxY8//zzAIDc3FwYjUYUFBRgwYIFAICKigocPnwYv/zlL2WJi4iIiLRF1oH3kpIS1NbWoqSkBG63G8XFxQCA4cOHIzIyEgCQnZ2NFStW4Ctf+QoEQcDSpUvxi1/8AiNGjMCIESPwi1/8AuHh4bjvvvsAAFarFYsXL8b3vvc9xMfHIy4uDk899RTGjRuHefPmyflxiIiISCNkTXB++tOf4i9/+Yvv/6VemU8//RQ33HADAODEiROw2Wy+Y77//e+jpaUFjz76KOrq6jB9+nRs2rQJUVEdK6q+9NJLMBgMWLBgAVpaWjB37lysWbMGej33yyEiIqIArYOjNlwHh4iISHv6c//mSkJEREQUdJjgEBERUdBhgkNERERBhwkOERERBR0mOERERBR0mOAQERFR0GGCQ0REREGHCQ4REREFHVlXMlYraW1Du92ucCRERETUV9J9uy9rFIdkgtPQ0AAASE9PVzgSIiIi6q+GhgZYrdZejwnJrRo8Hg/Ky8sRFRUFQRD8+tp2ux3p6ekoLS3lNhAy4nkODJ7nwOB5Dhye68CQ6zyLooiGhgakpqZCp+u9yiYke3B0Oh3S0tJkfY/o6Gh+eQKA5zkweJ4Dg+c5cHiuA0OO83y1nhsJi4yJiIgo6DDBISIioqDDBMfPzGYzfvazn8FsNisdSlDjeQ4MnufA4HkOHJ7rwFDDeQ7JImMiIiIKbuzBISIioqDDBIeIiIiCDhMcIiIiCjpMcIiIiCjoMMEZgFdffRWZmZmwWCzIzc3Ftm3bej1+y5YtyM3NhcViQVZWFv7whz8EKFJt6895fu+99zB//nwMGjQI0dHRyMvLw8cffxzAaLWrv3/Pks8//xwGgwETJ06UN8Ag0d/z7HA48PTTTyMjIwNmsxnDhg3D6tWrAxStdvX3PK9duxYTJkxAeHg4UlJS8M1vfhM1NTUBilabtm7dijvuuAOpqakQBAH/+Mc/rvo7itwHReqXt99+WzQajeJrr70mHj16VHziiSfEiIgI8cKFCz0ef/bsWTE8PFx84oknxKNHj4qvvfaaaDQaxXfffTfAkWtLf8/zE088IT7//PPinj17xJMnT4rLly8XjUajuH///gBHri39Pc+S+vp6MSsrS8zPzxcnTJgQmGA1bCDn+c477xSnT58uFhQUiOfOnRN3794tfv755wGMWnv6e563bdsm6nQ68Te/+Y149uxZcdu2beKYMWPEu+66K8CRa8vGjRvFp59+Wly/fr0IQNywYUOvxyt1H2SC00/Tpk0TH3nkkS7PZWdniz/84Q97PP773/++mJ2d3eW573znO+KMGTNkizEY9Pc89yQnJ0d89tln/R1aUBnoeV64cKH44x//WPzZz37GBKcP+nueP/zwQ9FqtYo1NTWBCC9o9Pc8/+pXvxKzsrK6PPfyyy+LaWlpssUYbPqS4Ch1H+QQVT84nU7s27cP+fn5XZ7Pz8/Hjh07evydnTt3djv+pptuQmFhIVwul2yxatlAzvMXeTweNDQ0IC4uTo4Qg8JAz/Prr7+OM2fO4Gc/+5ncIQaFgZzn999/H1OmTMEvf/lLDB48GCNHjsRTTz2FlpaWQISsSQM5zzNnzsTFixexceNGiKKIS5cu4d1338Vtt90WiJBDhlL3wZDcbHOgqqur4Xa7kZSU1OX5pKQkVFZW9vg7lZWVPR7f1taG6upqpKSkyBavVg3kPH/RCy+8gKamJixYsECOEIPCQM7zqVOn8MMf/hDbtm2DwcDLR18M5DyfPXsW27dvh8ViwYYNG1BdXY1HH30UtbW1rMO5goGc55kzZ2Lt2rVYuHAhWltb0dbWhjvvvBOvvPJKIEIOGUrdB9mDMwCCIHT5f1EUuz13teN7ep666u95lrz11lt45plnsG7dOiQmJsoVXtDo63l2u92477778Oyzz2LkyJGBCi9o9Ofv2ePxQBAErF27FtOmTcOtt96KF198EWvWrGEvzlX05zwfPXoUjz/+OH76059i3759+Oijj3Du3Dk88sgjgQg1pChxH2QTrB8SEhKg1+u7tQaqqqq6ZaeS5OTkHo83GAyIj4+XLVYtG8h5lqxbtw6LFy/G3//+d8ybN0/OMDWvv+e5oaEBhYWFKCoqwmOPPQbAeyMWRREGgwGbNm3CjTfeGJDYtWQgf88pKSkYPHgwrFar77nRo0dDFEVcvHgRI0aMkDVmLRrIeV6xYgVmzZqF//f//h8AYPz48YiIiMDs2bPxP//zP+xh9xOl7oPswekHk8mE3NxcFBQUdHm+oKAAM2fO7PF38vLyuh2/adMmTJkyBUajUbZYtWwg5xnw9tw89NBDePPNNzmG3gf9Pc/R0dE4dOgQiouLfY9HHnkEo0aNQnFxMaZPnx6o0DVlIH/Ps2bNQnl5ORobG33PnTx5EjqdDmlpabLGq1UDOc/Nzc3Q6breBvV6PYCOHga6dordB2UtYQ5C0jTEVatWiUePHhWXLl0qRkREiOfPnxdFURR/+MMfiosWLfIdL02Pe/LJJ8WjR4+Kq1at4jTxPujveX7zzTdFg8Eg/u53vxMrKip8j/r6eqU+gib09zx/EWdR9U1/z3NDQ4OYlpYm3n333eKRI0fELVu2iCNGjBAffvhhpT6CJvT3PL/++uuiwWAQX331VfHMmTPi9u3bxSlTpojTpk1T6iNoQkNDg1hUVCQWFRWJAMQXX3xRLCoq8k3HV8t9kAnOAPzud78TMzIyRJPJJE6ePFncsmWL72cPPvigOGfOnC7Hf/bZZ+KkSZNEk8kkDh06VPz9738f4Ii1qT/nec6cOSKAbo8HH3ww8IFrTH//njtjgtN3/T3Px44dE+fNmyeGhYWJaWlp4rJly8Tm5uYAR609/T3PL7/8spiTkyOGhYWJKSkp4v333y9evHgxwFFry6efftrr9VYt90FBFNkPR0RERMGFNThEREQUdJjgEBERUdBhgkNERERBhwkOERERBR0mOERERBR0mOAQERFR0GGCQ0REREGHCQ4REREFHSY4REREFHSY4BAREVHQYYJDREREQYcJDhEREQWd/w9xlLdBaTOj/wAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "T = 0.5\n", "f = 2\n", "b = 2\n", "w = 2 * np.pi / T\n", "t = np.linspace(0, 1, 101)\n", "s = b / 2 * np.sin(w * t)\n", "\n", "plt.plot(t, s);" ] }, { "cell_type": "markdown", "id": "8588211d-960a-4dc0-8b1a-2214cbf977e3", "metadata": {}, "source": [ "## Frequency domain representation of signals\n", "\n", "We can also represent signals in the frequency domain. This requires some understanding of the [Fourier series](http://en.wikipedia.org/wiki/Fourier_series). The idea of the Fourier series is that all periodic signals can be represented by (decomposed into) the sum of a set of pure sines and cosines that differ in frequency and period. See the wikipedia link for lots of details and a helpful animation.\n", "\n", "$$ s(t) = \\frac{a_{0}}{2} + \\sum_{n=1}^{\\infty} \\left[a_{n}\\mathrm{cos}(nwt) + b_{n}\\mathrm{sin}(nwt)\\right] $$\n", "\n", "The coefficients $a_{n}$ and $b_{n}$ define the weighting of the different sines and cosines at different frequencies. In other words these coefficients represent the strength of the different frequency components in the signal.\n", "\n", "We can also represent the Fourier series using only sines:\n", "\n", "$$ s(t) = \\frac{a_{0}}{2} \\sum_{n=1}^{\\infty} \\left[r_{n}\\mathrm{cos}(nwt-\\phi_{n})\\right] $$\n", "\n", "Using this formulation we now have **magnitude** coefficients $r_{n}$ and **phase** coefficients $\\phi_{n}$. That is, we are representing the original signal $s(t)$ using a sum of sinusoids of different frequencies and phases.\n", "\n", "Here is a java applet that lets you play with how sines and cosines can be used to represent different signals: [Fourier Series Applet](http://www.falstad.com/fourier/).\n" ] }, { "cell_type": "markdown", "id": "b1ff231e-f287-44a8-8037-084930a8a7a8", "metadata": {}, "source": [ "## Fast Fourier transform (FFT)\n", "\n", "Given a signal there is a very efficient computational algorithm called the [Fast Fourier transform](http://en.wikipedia.org/wiki/Fast_Fourier_transform) (FFT) for computing the magnitude and phase coefficients. We will not go into the details of this algorithm here, most high level programming languages have a library that includes the FFT algorithm.\n", "\n", "Here is a video showing a 100-year-old mechanical computer that does both forward and inverse Fourier transforms:\n", "\n", "* [Harmonic Analyzer (1/4)](https://www.youtube.com/watch?v=NAsM30MAHLg)\n", "* [Harmonic Analyzer (2/4)](https://www.youtube.com/watch?v=8KmVDxkia_w)\n", "* [Harmonic Analyzer (3/4)](https://www.youtube.com/watch?v=6dW6VYXp9HM)\n", "* [Harmonic Analyzer (4/4)](https://www.youtube.com/watch?v=jfH-NbsmvD4)" ] }, { "cell_type": "markdown", "id": "c92dbce5-e00f-4ef1-a74b-4eec8712eef5", "metadata": {}, "source": [ "## Sampling\n", "\n", "Before we talk about the FFT and magnitude and phase coefficients, we need to talk about discrete versus continuous signals, and sampling. In theory we can derive a mathematical description of the Fourier decomposition of a continuous signal, as we have done above, in terms of an infinite number of sinusoids. In practice however, signals are not continuous, but are **sampled** at some discrete **sampling rate**.\n", "\n", "For example, when we use Optotrak to record the position of the fingertip during pointing experiments, we choose a sampling rate of 200 Hz. This means 200 times per second the measurement instrument samples and records the position of the fingertip. The interval between any two samples is 5 ms. It turns out that the sampling rate used has a specific effect on the number of frequencies used in a discrete Fourier representation of the recorded signals.\n", "\n", "The [Shannon-Nyquist sampling theorem](http://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem) states that a signal must be sampled at a rate which is at least twice that of its highest frequency component. If a signal contains power at frequencies higher than half the sampling rate, these high frequency components will appear in the sampled data at lower frequencies and will distort the recording. This is known as the problem of [aliasing](http://en.wikipedia.org/wiki/Aliasing).\n", "\n", "Let's look at a concrete example that will illustrate this concept. Let's assume we have a signal that we want to sample, and we choose a sampling rate of 4 Hz. This means every 250 ms we sample the signal. According to the Shannon-Nyquist theorem, the maximum frequency we can uniquely identify is half that, which is 2 Hz. This is called the [nyquist frequency](http://en.wikipedia.org/wiki/Nyquist_frequency). Let's look at a plot and see why this is so.\n", "\n", "Below we see a solid blue line showing a 2 Hz signal, a magenta dashed line showing a 4 Hz signal, and a green dashed line showing a 8 Hz signal. Now imagine we sample these signals at 2 Hz, indicated by the vertical red lines. Notice that at the sample points (vertical red lines), the 2 Hz, 4 Hz and 8 Hz signals overlap with identical values. This means that on the basis of our 2 Hz samples, we cannot distinguish between frequencies of 2, 4 and 8 Hz. What's more, what this means is that if the signal we are actually sampling at 2 Hz has significant signal power at frequencies above the Nyquist (1 Hz) then the power at these higher frequencies will influence our estimates of the magnitude coefficients corresponding to frequencies below the Nyquist… in other words the high-frequency power will be aliased into the lower frequency estimates.\n", "\n", "\n", "![signal_aliasing.jpg](signal-aliasing.jpg)\n" ] }, { "cell_type": "markdown", "id": "65e72115-507f-4404-bc6c-48f747ecd51d", "metadata": {}, "source": [ "Below is another example taken from the [wikipedia article on aliasing](http://en.wikipedia.org/wiki/Aliasing). Here we have two sinusoids — one at 0.1 Hz (blue) and another at 0.9 Hz (red). We sample both at a sampling rate of 1 Hz (vertical green lines). You can see that at the sample points, both the 0.1 Hz and 0.9 Hz sinusoids \"hit\" the sample points and thus both would influence our estimates of the power at the 0.1 Hz frequency. Since the sampling rate is 1 Hz, the Nyquist frequency (the maximum frequency we can distinguish) is 0.5 Hz - and so any power in the signal above 0.5 Hz (such as 0.9 Hz) will be aliased down into the lower frequencies (in this case into the 0.1 Hz band).\n", "\n", "![signal-aliasing.jpg](signal-aliasing-sines.jpg)\n", "\n", "" ] }, { "cell_type": "markdown", "id": "5e7606b9-19fe-46ab-91da-b210e2dba5bc", "metadata": {}, "source": [ "So the message here is that in advance, before choosing your sampling rate, you should have some knowledge about the highest frequency that you (a) are interested in identifying; and (b) you think is a real component in the signal (as opposed to random noise). In cases where you have no a priori knowledge about the expected frequency content, one strategy is to remove high frequency components _before sampling_. This can be accomplished using low-pass filtering — sometimes called anti-aliasing filters. Once the signal has been sampled, it's too late to perform anti-aliasing." ] }, { "cell_type": "markdown", "id": "765eddcb-f454-4c26-a5e6-c683e20937ee", "metadata": {}, "source": [ "## Power spectra\n", "\n", "Rather than going into the computational details of how magnitude and phase coefficients are estimated (which goes beyond the scope of this course), we will now talk about how to interpret them.\n", "\n", "For a given signal, the collection of magnitude coefficients gives a description of the signal in terms of the strength of the various underlying frequency components. For our immediate purposes these magnitude coefficients will be most important to us and we can for the moment set aside the phase coefficients.\n", "\n", "Here is an example of a power spectrum for a pure 10 Hz signal, sampled at 100 Hz.\n", "\n", "![](signal_spectrum10.jpg)" ] }, { "cell_type": "markdown", "id": "d5b85ab4-f785-4bcf-8ec4-262eedf5d7dc", "metadata": {}, "source": [ "The magnitude values are zero for every frequency except 10 Hz. We haven't plotted the phase coefficients. The set of magnitude and phase coefficients derived from a Fourier analysis is a complete description of the underlying signal, with one caveat — only frequencies up to the Nyquist are represented. So the idea here is that one can go between the original time-domain representation of the signal and this frequency domain representation of the signal without losing information. As we shall see below in the section on filtering, we can perform operations in the frequency domain and then transform back into the time domain.\n", "\n", "Here is some Python code to illustrate these concepts. We construct a one second signal sampled at 1000 Hz that is composed of a 6 Hz, 10 Hz and 13 Hz components. We then use the `fft()` function to compute the Fast Fourier transform, we extract the magnitude information, we set our frequency range (up to the Nyquist) and we plot the **spectrum**:" ] }, { "cell_type": "code", "execution_count": 2, "id": "26954c36-79bc-44e3-a705-679923fe4dd1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct signal and plot in the time domain\n", "fig, axs = plt.subplots(3, 1, figsize=(5, 10))\n", "t = np.linspace(0, 1, 1001)\n", "y = np.sin(2 * np.pi * t * 6) + np.sin(2 * np.pi * t * 10) + np.sin(2 * np.pi * t * 13)\n", "axs[0].plot(t, y, c=\"b\")\n", "axs[0].set_xlabel(\"Time (s)\")\n", "axs[0].set_ylabel(\"Signal magnitude\")\n", "\n", "# Compute FFT and plot the magnitude spectrum\n", "F = np.fft.fft(y)\n", "N = len(t) # Number of samples\n", "dt = 0.001 # Inter-sample time difference\n", "w = np.fft.fftfreq(N, dt) # Gives list of frequencies for FFT\n", "ipos = np.where(w > 0)\n", "freqs = w[ipos] # Only look at positive fequencies\n", "mags = np.abs(F[ipos]) # Magnitude spectrum\n", "axs[1].plot(freqs, mags, c=\"b\")\n", "axs[1].set_ylabel(\"Power\")\n", "\n", "axs[2].plot(freqs, mags, c=\"b\")\n", "axs[2].set_xlim([0, 50])\n", "axs[2].set_ylabel(\"Power\")\n", "axs[2].set_xlabel(\"Frequency (Hz)\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "c14cd9b2-0f04-463c-ae40-b4fcfb14670c", "metadata": {}, "source": [ "We can see that the power spectrum has revealed peaks at 6, 10 and 13 Hz - which we know is correct, since we designed our signal from scratch.\n", "\n", "Typically however signals in the real world that we record are not pure sinusoids, but contain random noise. Noise can originate from the actual underlying process that we are interested in measuring, and it can also originate from the instruments we use to measure the signal. For noisy signals, the FFT taken across the whole signal can be noisy as well, and can make it difficult to see peaks." ] }, { "cell_type": "markdown", "id": "dd5804df-e7c6-4924-ad63-7c3b3be511f5", "metadata": {}, "source": [ "## Power Spectral Density\n", "\n", "One solution is instead of performing the FFT on the entire signal all at once, to instead, split the signal into chunks, take the FFT of each chunk, and then average these spectra to come up with a smoother spectrum. This can be accomplished using a [power spectral density](http://www.mathworks.com/help/signal/ref/dspdata.psd.html) function. In SciPy (and in MATLAB) there is a function `psd()` to accomplish this. We won't go into the mathematical details or the theoretical considerations (relating to stochastic processes) but for now suffice it to say that the psd can often give you a better estimate of the power at different frequencies compared to a \"plain\" FFT.\n", "\n", "Here is an example of plotting the power spectral density of a signal in Python / SciPy. We construct a 50 Hz signal at 200 Hz sampling rate, and we add some random noise on top:" ] }, { "cell_type": "code", "execution_count": 3, "id": "05f2a3cb-8b64-4fdc-9155-ffc60e37f76c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct signal and plot in the time domain\n", "fig, ax = plt.subplots(2, 1, figsize=(6, 8))\n", "t = np.linspace(0, 1, 201)\n", "y = np.sin(2 * np.pi * t * 50) + np.random.randn(len(t)) / 2\n", "ax[0].plot(t, y, c=\"b\")\n", "ax[0].set_xlabel(\"Time (s)\")\n", "ax[0].set_ylabel(\"Signal magnitude\")\n", "\n", "# Compute and plot the power spectral density\n", "ax[1].psd(y, Fs=200, c=\"b\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7a2115f6-f664-4523-b9c3-e019a8e9d7f9", "metadata": {}, "source": [ "You can see that the peak at 50 Hz stands nicely above all the noise, about 20 dB above the noise, in fact (-20 dB corresponds to 1/10th the power, see below).\n", "\n", "We have been ignoring the **phase** of the signal here, but just like the magnitude coefficients over frequencies, we can recover the phase coefficients of the signal as well." ] }, { "cell_type": "markdown", "id": "8b2e63bc-c409-4416-855f-3f8c07326885", "metadata": {}, "source": [ "## Decibel scale\n", "\n", "The decibel (dB) scale is a ratio scale. It is commonly used to measure sound level but is also widely used in electronics and signal processing. The dB is a logarithmic unit used to describe a ratio. You will often see power spectra displayed in units of decibels.\n", "\n", "The difference between two sound levels (or two power levels, as in the case of the power spectra above), is defined to be:\n", "\n", "$$ 20(log_{10})\\frac{P_{2}}{P_{1}}dB $$\n", "\n", "Thus when $P_{2}$ is twice as large as $P_{1}$, then the difference is about 6 dB. When $P_{2}$ is 10 times as large as $P_{1}$, the difference is 20 dB. A 100 times difference is 40 dB.\n", "\n", "An advantage of using the dB scale is that it is easier to see small signal components in the presence of large ones. In other words large components don't visually swamp small ones.\n", "\n", "Since the dB scale is a ratio scale, to compute absolute levels one needs a reference — a zero point. In acoustics this reference is usually 20 micropascals — about the limit of sensitivity of the human ear.\n", "\n", "For our purposes in the absence of a meaningful reference we can use 1.0 as the reference (i.e. as $P_{1}$ in the above equation)." ] }, { "cell_type": "markdown", "id": "b407ae91-e649-4605-82db-636695cf621b", "metadata": {}, "source": [ "## Spectrogram\n", "\n", "Often there are times when you may want to examine how the power spectrum of a signal (in other words its frequency content) changes over time. In speech acoustics for example, at certain frequencies, bands of energy called [formants](http://en.wikipedia.org/wiki/Formant) may be identified, and are associated with certain speech sounds like vowels and vowel transitions. It is thought that the neural systems for human speech recognition are tuned for identification of these formants.\n", "\n", "Essentially a spectrogram is a way to visualize a series of power spectra computed from slices of a signal over time. Imagine a series of single power spectra (frequency versus power) repeated over time and stacked next to each other over a time axis.\n", "\n", "Matplotlib has a built-in function called `.pyplot.specgram()` that will generate a spectrogram. In the figure below, power is color-coded such that cool colors (blues) represent low power and hot colors (reds) represent high power. " ] }, { "cell_type": "code", "execution_count": 4, "id": "a0e24e92-513b-4ddd-a36e-6a51e09a5c88", "metadata": {}, "outputs": [ { "data": { "image/png": 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ucknX7N/KdZct4DkhWTEvIABAnpgVGpr2FqGOEhqM5QQkVyAS4NB92mjX1hVOpEycts+1h1pZZ5ioISoozNCz6iAgDkS0qommez2lcwmpw6Q7t2SElLF1Se19NNCh3wQtJDPEvcg4eOH7mu7izXMkcAnZ/NDxc/QY2HFKuJDqTN5TqRqpWdXXwjiVJq5ykel2uMj0RMknTskI8vcdWznzfVzWrZZD4JzuT5Mn/xBgj00ibWVaVz55XmyS5GosOcnzyZ7Kx1Uw1BcHbj8xO/S2Ae2hWKsExSIDzufAIwD+znweMp/z0KAHR+zCO9rN+1YAzzWf/x+AKsckGaJ7Vrdz8iwEYNudAzv6uyxSFItUt5VFioYaTb6rTVTlctHFx41N2xLEsbHj17FxscUk/20MvHeTGmleIEkcgwrAi49VLDIfBB4H8FyrnmlDOQkvrU1J03/qsgU8JyS7Sd1wiwYQZ2Y2kUbn3vH3tYGatvtsOnFEpA7E6thUxcPtbSQNryzgqT3QoYzyS6qSuP0OQYgkAJGi9WAAi/5eB174MdIQ27ncu9U1B0kS7NRoAit+fkhiRqeVUZOsuCqCvmODtFxV0zY+aYXaEd8WBMlHzW2LHf+6ofPWsU9t323HcqGyh56D/M2vF1sMhOqTHDU8ochYvVFGed+Kb6DwF2I6Y+eqpPZaFVf/cvDDj/fvu0GcE9keQuUPHR8p80bSNnaFFo7r3iFtZ/uc15oDO0r5oEcllf6d1EBiwGfs3d0gCT3uJ3ONp4M8Xep5YqJajJa1Xl45fTyS8IASW6VIFmgdKxRSWYS+2+7fNlBQTyJ2ZwTgoIMlgFlSQe2RQXDpGU3GDI71LRxoyFDYwViqufTfTVWUlJANTo0EMxP5WF5b728GAQypp6SaiR+v2RpuKh0GSlQeui//pvIr8eD58cpMlBUUlKpagWVdJZqGn+748U2ISdl0ZdomcgU/EN85jKEqfBAlWYOQCiOkquL3Df3m1wm1/037hBSqS0x4/UfQDIz5dEYT9AakTuXMZ4UeZsA+MEkqLAY3AbfuaLaGq7WmAKqO/tB96B7nANwKdG59Avv7l3CAyxhhjBHGwVhYc/QsuzrBEDPVg9qrUealZXoAxlBz4+kQWJbjUgiAhoBgG1sTurZkI0PnyWuEjg+1rWQHQIba2FmRENihb6BlIREqy1a+7GULeI4pWVZiJxDvAqDOUaGuEiwXRoFbmdVZG4Dhg8oi8InRyOt+87/bBpdY2figfsC3d1DmGerB3BrmSaPfEMMiJ/wCmZ3sKyhIRRbZJHA2KGaLE2JfQqopOpbv42opGQxQsjUc4JCizrPJqf172UHUAEJeP3pu9MzoPr7NR2L3W3AYAD41GZpWiYtvcgn+RCrBBtDeLuR+PnnQJDyCax8DhN2E+fVDoGvdxLiJxOrB67xOJcO9rhogLlBOvhgYABgcGbAzQ6o44+jesWYkCwz3Jqj3LgbtaiSDmuUF0rxEqgoTOmHuhVEguzXeP6gt9zDHDF3b4okNnWc9pFmGMi8DqU2cbY/1IgMQimnlnqF5oGYxuMtZk0DcH3ttbi8Us5/yCrfhty0XBNihz06Ykd9UrnXhcIKS4NpVWoFQul+RsgU8JyxeJGAboRTuOwZ42gDIprKO5o+tltoGGDpXDEgrM8FS8D7JagDOboCEMzvKmwjc5E+DsmZ/Emvnw+19+KAujYilbQxFQJZl5CxKzE4oxvDw72uRkHeN9FwjIQBHZefAqq4UKpqYKKDblH3GcMxBm+ceSQhYh1bw/NhFYHsb2JblCLE2x5XYedT229QkHPTI7zbAI65JwLPOXNsLgXSvzbG8am1xdDhTJK8nf8tvbm7Pf6eZ9hzj5Xe2LHXDsDkakNAIV5ltEuBQF844ecRUhN6xiLctLvwY+f4SfU8vKKNyixDer5Ok9gFo7P43ULYqrc3l6VLPE5Oq2sVOpNN7qxYeTVSuMoH2VTbgVo/rgE8I5IR+yxVvzChRqhu4J4q3ys8xy3s6EjDq4MAOOGZE//ZVO/SbwxZavfZYmocuZhhiao2em/mttIppgiHGGJm1r/5o1ZY+xj0SBzQyoZiSjBIvp1RXEQijc7qYoVZJ41mE2B0JdkIgrjBJ2Wokuq4mxYY1pOQr70XHMTrnzecR8zkPx/RMRdvgBukj8U2fTUZUAlcxCbVJed2QCim0gg/1ndD9qH5tx/FjOcBpAzuyDoDp1ztYLfqYjvuYsrg5fn1EQL+2RQ71N1OGxwdL5KMJhntT1sJ1X5mh67FJEsRTu9VBN7XHZI+28+HM/K6ReBkp2+zK+IIixlZJoNRgV3IDejgbswmYWNcu+XvKl2iLY0SiUHnPRCUVkBsWhEfTXzc2fxmAoa34sgU8x5S6TrATMtql/DMhsMNX1pussNtUVG3HtJ0nO6dUoY1ZWflxA/Y3p/CnwHLaxTwvoPr6AL5CsrYxdYbZtKu9QqY9/7nwMtmJ9wj5wRWM9sY4wGXs4zJGuGLBj87MXtj7zNG1Q/8l7OOyOevS4T4W50/76hywe1n7C62GGI4mGCpfTSCDuXGwQxMLBVuskSBFOBhhE/D4oIcf64Md37C6XKSYTXu+xwi92ykc2HkIGug8xH5jBp1yfgI9dHeAqgtMTwPTfRftlt7vOTi7FG7PIoEzAZ2YNw8QBhTyE1rZ04QfY0XlNpIQCxNjD+Rvzu60nSelgvGuIqEsrmtcsY8BeDDqYDE6jcVBD/NRF2WfwlOmHnMK+CBE/60Lr0G9QmbSoZyEyBANM9U13qOpvwgEHOstIy/D1HVNpGiZA0wllWXFQgb9chtXMdvbBxZq5iC9nxivRGGVFxr0UAbodW3iOshJeGldJ4eyGy5bwHNCQgbLSGpflRWi8UMrg+OsZGMD+nHdQEP3Dt03+kkc5Q0dzCzE4rh7V7BdS5Yj4cfAXoMc2Ofo2YGJjJFpoJ2hZ53RrS2NpKElFb1GQuVvqxvVXbJc68AOt+eJlaOGQl1rF9nVIgWmzOYB8AEInyRH0IAFAC71gMVz4NydAfsuRvDtcTgrSACYA0bZnknaGJU28BCr/qbgQJZBvudNJiU6TwI1eX603bLvTftfCMyFngUH6IMjzz5Gn+JAslTLhOzZQklruUgbs5jdmRSXUS+xTORykWqAsJARpCPjQNvUm1A0+yOskgq7uQvoyEEPNzoO189/yCF1vFQ10rVXlTJjVAILelrKez1kC3g2lxsKeO69917ce++9eOihhwAAL3zhC/GTP/mTeMUrXgFAR2n80Ic+5J1zxx134IEHHrB/F0WBu+++G7/zO7+D+XyOb/3Wb8Wv/uqvemGsr1y5gje/+c346Ec/CgB41atehXvuuQej0ejYZV5ntGyjprathOVgzY8LqZlCAzE3HB2gOWnRxMXfMGd1Qvvk/eiYKVzMEW81v4NykWGe94AsbPMCmMEoL1AndTNoHnmxJTo2Ricvtd4cCQpkmGCIGgoTDIPB1WooA3i6Vq1VFqm75sBcn6tLPKahsLYGNBn4rEs8ehi3j+DfZIBN1ziOIbauTxc1FOboooLCpB7i8fP7wKXcV01JwEHvbWTe17Phg6IKcMwD286F/l5As0UxBkVO8DQhA8cfVUILAF6WtoUDP46Xh5drgTBrI+8jWdhY/yPxgAiaKkG+COHl88rpB8CL2cBQrBitQq68fqDZFf+hW4bVLAgmhwMspj0d7JDGIgKzoXHF1mOBwWiCbn9ulhUzrz3zkAszdDEvephNe1iOh85bMNRWgWbbDf3mYsu3Aww6WA06WA2AenQVyWBmI09nKBunhhgvsoML2SXxbRX73TEga50tEwAcqavXJZ3WOvJx02s8HeSG1vPWW2/Fz/7sz+K5z30uAOBDH/oQvuu7vgt//ud/jhe+8IUAgJe//OX4wAc+YM9JU38Cestb3oKPfexj+MhHPoL9/X287W1vwytf+Uo8+OCDUMag9jWveQ0eeeQR3HfffQCAN73pTXjta1+Lj33sY8cuc5tbOgDd1TiTQQMnBwpysOaAaArflTg2MNEgewDnrkr78sBvDmBiAz6fUEhospB2SOZ7xYw0uXjxcszzSowbaEivr8y+hA36xOQUSO0Az9VMYVfxzHksUZqPAZqToom0SgCLrwrlatmd1r5y5MdJjzWapMgGidsL0XFU1xo8po9eLWOa+zY6chLxQBzCXka8XfB3zdsdfehvziSRtN2HT/RSNgUuIRD3ZAAP2YO09QcOdmQ/5J+Qmo4DHeqDB+L+sr8RyDHgXiUVeoO5TRFBsXQ2zYslE9ySkFXa9OpQR3W+lLughhw009gCNL3vDgCcyzE9yFEcPIF6pO19epjZ+ziHAVJfG7Az3gkby4dAjxx/EDiOnp185gBWeYoqL9BVNWSgURnMlLYRe8Nzm60Tz4V9A4Pso7JAeGm8lRslNxTwfOd3fqf397vf/W7ce++9eOCBByzgybLMZlWVcnh4iPe///34zd/8TXzbt30bAODDH/4wbrvtNvzJn/wJ7rrrLvz1X/817rvvPjzwwAO44447AAC//uu/jjvvvBNf/OIX8fznP/9E6kKeMlZCK2CgnY6PSQJ/0uErar6C5BMYDebyvqGJkgABnyRIOLAahe6p610WKVTiDxo8YilPlgg0jRZXldJ5hkwKhRKpNZpMARSAXbnJyMQhjymV1FgltQFrnaaqQxiU1rVCoRzIaJt0YhS4FK664hGme5ihYnYUXF3A4/nQNdK8BAYLYJS7dxN6jyHQQ58Y0M3FeTSZtK3Mk8B5oXv5D80H/BJMtDEp/Bptf8vnwN830OyT9Fv2k1BdQ4CHszsE9MCOW7Bj+X2THWCRY5lnWOYF6ipBlqdI8xKFyhogmEvIs1Hu123H2Ln156gqhUWlAHR8UBMDzbxOOUCBJOtKYaZ6ts2ScFs9rcLaCbcb/iwq8Xdsv9zHP/Y5dzTTnNSoc4VUpWHAw0COZeO54X+bRBa5obQUJEdFFt13kpLg2lVSW4bnOktd1/i93/s9XL16FXfeeafd/qlPfQpnzpzBaDTCN33TN+Hd7343zpw5AwB48MEHsVwu8bKXvcwef8stt+D222/H/fffj7vuuguf+cxnsLe3Z8EOAHzDN3wD9vb2cP/990cBT1EUKAqHz5944gldzkoFvbQa8TMISJDQoCnZBhoY21aYfFVL15aTDeAbH4/RHNT5PWkyICBzDvFBhg+AIzRsPSh4GRfO4jSyQUdW5qsEWCVHWOapDfte5qkJ0V+gROaBg5BrOQCbd4rYpDpvUtxcikVmweoEg6hrcGuG69BETUxSXiAfzNAbzDFUk0YKDKnW4ikBMpQYqTHUV9WYj7raaHnaa95TMggAZK6gWJTmYKyVUNbukLSNIMmRK+cUmlmozPcjcB5kj4AZlouUCvw+EuRLcMUnQ97P+P4YA0XPcoR4PJjQ+5XgjxYnY7iFBz8e/PgdIM+xzHMs7bYleCwbwGc/KR4PMRkhuzDOZIyQoNxLUexlKJ9lIoIbb79QzB8SqbKpK4XJeBiOXUNegnxBxUEsr7t8FiGJ7ZOAB7DPerXoY5r0XfsnBoarzkNsYRvI5u0GHfG3/l41TmIy3YwRvlYJrS+ezDWeDnLD6/n5z38ed955JxaLBQaDAf7gD/4AL3jBCwAAr3jFK/B93/d9eNaznoV/+Id/wE/8xE/gW77lW/Dggw8iyzKcP38eaZripptu8q559uxZnD9/HgBw/vx5C5C4nDlzxh4Tkve85z1417ve1dje5pbuSSLcLOXKk0/6XGWUiGNjq0sg3PkrcR2vTJHz5W+IbbHVbAKgSrCqapSLrJGLJgoKYuwWTQJVjlW+9DXxGWdMmnFHvCB9bGJPkrpBV8tBnlPb0QEd8OsRUO959bLPTU9qi1GOxWiBcpSi6POYOsrLKyaDJXK1V9Yv0O3PUR+MtZprjcQATmgfV+ltYpyqy24AZ4t6wAXhzJ3begWnWnnIfOOC+TwB9wA7ALoAhkB1Cpie0gbbUo0m23GIZZJtWe6X/ZF+r2uvob85uyNF9m25cEk65uMm01V+hCU30s2BRLwvp/J19m3UQjhjSG7odd8tFsCOa6RCKbRnoDU+DoF7/px4f4ixPG3PLgQQQ8+P7hsc84SdmizjcQBPbKxdV04AuBrZvpUbJjcc8Dz/+c/HX/zFX2A8HuP3f//38brXvQ6f/vSn8YIXvADf//3fb4+7/fbb8eIXvxjPetaz8PGPfxzf8z3fE73m0dERdnbc6pD/jh0j5e1vfzve+ta32r+feOIJ3HbbbVG3dECulNm1CbSEwA7gG5bKjhUSOi7USfk1ELiOHPBDfwPNjt6msvDSaWhpAIfkCJ4rp1Q38HsZhmJlVqDFwgVEkxN1MNEfJdCMsUmyflQ+ES0WMDnS7DnM4DoJJFyU97HP7Qi7gxl6gxkG/YlhduZeEtVQcDr6JoNQz8WfwOS1iIiKy22oVFKjVr7NlK5eHOxE465Uygfr3E6EmMXxWQBDAHP4gCeBBj0mMB0HOrw9Qlw/BGhoUuSghu9/spPiut98W6g/ERtF5WqUXWcaX1UJppVCJy9R5qmOg6WKoH1bSEIqspBYuxwCO9OuZnCmaLfF4b+pjnKflHXX4dfjkqD5PEPjF7+GBGb8WuuYzNj7b5PZ+kNOQrZeWpvLDQc8aZpao+UXv/jF+NznPodf/uVfxvve977GsTfffDOe9axn4W//9m8BAOfOnUNZlrhy5YrH8ly8eBEveclL7DEXLlxoXOtLX/oSzp49Gy1XlmXIsqaqplqkQCewuvYGePZYOcMTmhSp800D29qAT2wwiB3PBwYqF00g9IlNIPx8+QFsfaOh2pPKgISjzVucueZy2m0Pe04xj/iqcgp/hRkDlHzCGewAubNx2DVByQA/5oetUkBNFGJUuDEqD3JIcX74ZAUQkNAZyipjjD1D1xmfkpcN1S/4TNqeF1UAjknI9WeZAxgssZuXSPMCWV4iDZghtNpDhDzwJDs5gDOyH0CrVacApj1g0fNvFmt3oYUBb6u8HXMmQC4IePkkMyFVM3LSi91b7pN18dod2vug1/92gCTHMsmx9J4BA+tAA8hq9W5tVcPcMLoJtPXWedHTKqxpD7jEcrNx0BOql6xf7F2tY4Viz1u+WwkemUrQ3UuwzHLxGQNwsTK2AWAusf55wtI2TRznGk8H+bKr59HRkWc7w+Xy5ct4+OGHcfPNNwMAXvSiF6HT6eCTn/wkXv3qVwMAHnvsMXzhC1/Ae9/7XgDAnXfeicPDQ/zZn/0Zvv7rvx4A8NnPfhaHh4cWFB1L2lbWkvmRTEaI2ZArkBDQWbcCCa2KpNDA0DaI0IAb6kHrBvQQ6xUKLraJ2AlTTJx2v/jNJ6YpmqAnBHj4hGPL6N+mkfHayw/kIrSGAgjaa6Dpii6zxXMVUtO9ONEu+otMe2pNEfbca3s+MQkxDehgBaBOatRVrdMOKEDaTQG+MXrUTovKIBkeYnloG69TqJxt3/LY2AQLhPuXnNhk29lUPRMqlyyj96wDZZbb+HOT3/YczQA5MUA2MeqwPLXu1NwRoDWeDjGl00CqEvmeaMyoAvWy7StgV0MLFXr/vM5toCI6hmmww937KTbaqjLs7KLjxsFNWJ4QGN4U9GxdtL7s5IYCnne84x14xStegdtuuw2TyQQf+chH8KlPfQr33XcfptMp3vnOd+J7v/d7cfPNN+Ohhx7CO97xDhwcHOC7v/u7AQB7e3t4wxvegLe97W3Y39/H6dOncffdd+Nrv/ZrrdfW13zN1+DlL3853vjGN1rW6E1vehNe+cpXPikPrWQwx84gTgCuNQANdSwORkbs7wGakzYC54e2he7RWA2hOcjEAJf8FqHz27wVSDZO1rfhNa3qKhGZncdousTS86O6DeAH5rNM3BE6g7lOAJm1GzvXtTIu5OZvUT8CRTbtBJR16eWeW9z2IkWJksUCIq+ted7FcrAAqtyfvLlsCopJ5ERL11t0sBx3GIvAoonwthxa9XJgEAI9/F3kcElHQxOIXAyEPvI+vJ3T34Df9kOAPnQvWZdNwWXbe+B9b4RmDJ+2MpLEFiMtx2mVr2am60R7JFI6Cld85eLoXDql+895xJPQ0j14fehzwOqROzd8Xp5VbvqvDOAnF4VSOFihsiQA2T+tkjXGxFxibYG36SmaY8pUHBMr53WQBFsvrU3lhtbzwoULeO1rX4vHHnsMe3t7+Lqv+zrcd999+PZv/3bM53N8/vOfx2/8xm9gPB7j5ptvxktf+lL87u/+LobDob3GL/3SLyFJErz61a+2gQc/+MEP2hg8APBbv/VbePOb32y9uV71qlfhV37lV55UmfdOH2L3VLg7USAr7gGxXKRuZQH4nZn/5qukEdqpXSA8EK9bGQE+JcwnBsANHPxYfo49Tw9g5EnFmY/GMxGGrNxgWMbhcb+rIJsC+FFSaySYX+1qVc/CVGQK5wVEg/UY7nlSPQ7M51a2fQQgL2yaCfKg0vdqGnTSJFJSBGTJbngeWj3tbYXaqLNq66VFKgaqU4nUxumxde0rWz1rAEwgjctxerRsNwQWG4Bip3mOBDnyb36sZF34BCkneN43OOPCP2P43otypU5tesD+HrBv2e7pPF7W0G8pEhjFGAD5HDi7OBLf+dKqUznDGLKN2til2hy7mPY8j0rZZ5cU72kMl49NfsZwkz3VaQC/P93KtifA7mCG4WhigybyfFvFosQy6WpjdCltYx8BkZjwsTW22MvZ9kScyxdKfDzh48oCQGtowesRdrAdGx/nGk8HuaH1fP/73x/d1+128cd//Mdrr5HnOe655x7cc8890WNOnz6ND3/4w0+qjFIUKuzG0IQZdxydmmij10rBM9rlA6DsmBXbJleMx139xiZDObnIa0vh5eLVTWrPyJVACc/kzaWqlBd40Kbj8K5ZNa7JjTH9qMQ67sZuUmMl60KDlVyNLeBPfkJVsWvumTJbB32vBAoKBeB7iVWJn9vKY+J2AGQokxpZXtrM8l59WVBCWycWm0eXw6jC8lLXNTfu3hKgtkloFSvbWGjyjrW92LGhc+REL4H0AL69B4m3emfXzHF8+wg+sYUYFAnK5HExwMPrzSfJkNojBHg4GMuX6Azm1ubG7x+lt3jgCwdv+dXmZQifZW0s26qkmRuNsxscbHKWjr55f2L1tn3Z9OMENQqVIc1LXZe8xIps8ULANzROhRZ6fD9JaGHHxzPLBHJwIgA+B1j0DBaAtkqeIC5t+7ZyI+TpAuxOTC7+463A8NSTOzlmtBuLEUGDhwRGvHOHVpehwRaID+ihgV2CMM5AgQwiKxsXxLMHULBsCLEglu2Srq3meitz72WAQZJZjb1Iy8Z7azVaAlXHX3GO4VPw9AwH7Jhz7tM59wT29y/hJpOolLMsZG2TIkVtmJlZ1kM3m6EcZV497WMwGZnTrLRJSXuYGfudysZM0Wk0YO7jzqfJIYM+HwpQZ2vMBzOXp4gLd58H0IilI9tCDMyE2hLfL9vounYHNI1Y6bec/EOAJ4dLb0JsiASyvF58Nd8AFWi2dSDc7kMTLe+DscmV7t8GeEIAK+KByH83YkEBzffulYkVUngfSllVNXCgtPE+70MS6PBnHgJxI7jnvQCWl07h8Wm3Ub+GzVciriGfbwycty3yqIyAP4bJ8TURIIcDugNzzAg6XYttewEje6+8XeCB+O6Tkq2X1uayBTzHlc93gF6kecgBz6NN41S1F8hu0fEHFDmgcwkxGXx1FgM8HOjIckrQI1fmNCgBejJXBXoiszgl9dSTuAE7U0Nbj+FPkPL55QDFrlkNgEXeQzmYMeCjUAsmiYIMlnmG1UHqP8PQ87OT4ZGl24cZ5VyfoIu59WbhwgMclsgwwlinglAJaqVQZ80w/9xgmV+XGJ0KyvI5/D4A2fmU6Bq7nxQFhsgw6/dQ9/1zLMBk3lOem760JwN7PnISDzFjEN9tQDsEQggAhH7TBGdUgK58psyLHX+ylRNvxa5H9wsB+nWMzSYSA4nyvqFJODQ2SJAHWPWvjGvVGvhSlikRP8yYww16aRxqBNo8aH0CDfHKJdlOOxZ19IeXLfie3GKHl7MRyJQSkvL7rAM+XGjsaTuOA7Bb0Wwz69rQVQDfu+aYE5Brac78Gk8HebrU8+RkAWA3si824LU8ZRp0PINevvoOrTKlxJih2OoXgTLSSjp2fXF/mx8L7ptHed005kewnmukrpWz6eGDtUlQqinyiIu0MbYm12sZ/Zi7j7dlMYeJ/KzTQ9QWcCgBePzcWZWFTF594EL184jRJInlgbTCK0MBHmgRgLlCjUq5PFx6ohBBE0n4pLBuctj0GHnccdowoN8Le58u/lHHtc0KfjuNgXq5+AhtX1fuNnATOjbE+PBvWT4pFTGW+kIygeXGYMf7ewe+usbFtOLX5qAnpE7mhvWy/ZJh/azuoVykfjTwBE3jXglO6Z2KHGNeTCgZbyupsUpSZxsJNG252p5L2zvl58faE98Xk2nLvhOUBFuj5U3l6VLPk5OvAtBv2S8HN7sC6WCVaJffYFwZOSCEBvI2kattuTrnQCdUZipr6Juub++141adhqEI5ZfKUCLJak/tE8qrRcJXdDI7dMiGx95SwbrbrhM+aHP2JYXMYr5+hucgha65iTjo4jM0/n6fwXH3rBqgyp3n1IhrA8aF2hpt4ytufqw8XrI6cqVNwlmNEZq5pxgLsMpFJvcYmyTLzNuslNg2qd6gcozFN31CbM1AfEbi7wCDEwRCFYBpB6tFB4vYABMaIxD4btzDuK0bDyZAq5CXgA+GWCoSYlS7WeV5FPLEnK5YGmR31Qzzfg/d/typXakNRoGpAzlZXngqcmJYFSrNokKzqEWfRYAGYFXZ/P2v64pt42kI7LSB5iRinLy8PkbLW9lctoDnuHLLEhi2hMILpVFos204jhArQxJapcZsKviAIK+xEPvlN7+++fhZ0stG/BgNKFgSRGXSF2TtqQskcAol5ZQsklyFytxC/NiQxICKdNltMjOJd+3QMTK4G7E5BBRDwlVn9E31ot9cPLBUa1siT4VIE3YMjPDfbQyEu+FmQESCg5Aqh86n607RnLhC/ShUl1jfkuylbNsLOHuv83B5vh6B88jBEjrtxdyc1AVwGkh2tLrj2exDwOcAwEgbIpPYFCbcq68NxEkJ1TdW79C7hfzm+co6QN7BKgcWA8361FkCZaKCaxZ07vVr6b04w1x/93so+inKUThvl1zU8KCcBLBk3ykY/zrPtO3MDMCyjb1skxDwlPs40PFATzgyuyfL6xOIZ2vDs7lsAc9xJanjDbxSphNEOmAb6AkORmi+IT5JUCfkv/nf6yaztg7v1StcZutqLiZuPumHAIhMlimFp1WA9V5qsiGc9Ynfpz3c/iYi0ynwbdciBH6kSot/82M3vq5V47V8pKybHLlQ+5Ntjf5ed01+HQloQvdqAzyAX5/Y5LXumNA5XplJcUAX6sCmuwgJux+pkFrztcXKIK7lbePvaJN3GiujZJroZ6B/E8BJBEPps5ypU8GqcMgKyeD6EL+GVKPpYmpelEtdKX+BGbIN9G7csk8eE2qvVnbcAZFUQwgkVX4qZN36ZNNrPB3k6VLPk5N1OYxkqgPeCWMTjlw9eKtgZ8RHYo32pizk+yWEA+5xhgfwB3JpzGnrgPZV9gLAQrtbzxPtGp6qwly+Bg14YOqhzBjfclpcDmhtk/w6gCFVXpswOyFwse6eXNXkwypnUxOzY6qR2InCubs3GRt3fW69o+wKV//OvONpW7lI9STA1QjrWJAQVd/G9FD7kBMLN4AO3Yv2S9YxBrBCgGgdYyr70EB8x1RMA3beAZqxfxY7wOIUAOahyfvpgH0AZ5yfO1V2o4z8N91bPgN7jlCPRLyvPJH2W7I/A/7z4+UyjMz8ateq8AukjVQogK+CJfUWt0Xj8bS4/RB3VadWDrSrhunIWW1SX1zq+4ER+bgn6yXZRf67bSaU7dxeO56LEQBwdc3+rVx32QKek5SYOmsT+wY+AQwADJZexN+GF5RJJLkYD4GBcSO9BDfoSsBD94L4vW41w1eUfFW/2MEqSVGQJ0miB7ISsNGFNQAokaBGFzMbaI8DnzZpplm4dlaFX6dqAAvHuLSp1iS44RnO28rI1VPHLa8PfDLvXlalUKQobBBENIEOn+RiTEiDuhfHxhgi3n43UcXEmCB5ziaAh19bgpARmukOZP1tn0PTQyk+98bZM1KRSVCxFoz5Rru2eBwg0O+W+FQktq3YIH9ZPDREYBzgYQ/qXEGpXjDRLd3LPRbWP+om6CFRyodKVI+mkbTPJpVIUS5SbRg9hh73SPU4hp/6go+poTYh27urRPi9trU9KfOWfScoiQI614itkiPgGonwfxKyBTzHlaIDdCIaz02ATqiTBCcnM2BUSoMJFelZSQ1KAukNpIC/mgbbFpPYar6tU28gfIDkA5q+5ea9bFOj4HXibG8I8DgvKwI90r6GjuFljjFSIWYoVk/Jcsm4P0TyU8b0OXqaySnShhePjfjM3fLlwJ+IbfQtB/3YqpcDhhA7YQsUrO7xRbbhSmwLMTwSUGyyikdgf2iBQNIGxrhqbx24tOV1Ubm5dxKXEMiRbEvC2qn2GqxRqNS+H5VUKJPatyHyyuVSxhCrXFUKWKSaoUmch+QmEjs2HkxUt3W5n7YXSFFBOz54ZefPMtbuYwzfOuFtnl9/3dh4nWyWkwReGKEndY0t4NlKUP4v2r20NlmRAn6HDA7cO1hOu86rKXdUMHk7WVuN/Ehn+6YOGWOT+L1jH1m2UP0C4q3c7GrN18nLhJlEj8ckkJM+KtJlVgKMkOpMMjWSNXHHuzVngQxzdK1KyaqSKN0EuwZd0TPeNkJeKNI4k65HmdLHGGGMm3C52MfhpZHOlj6GH+1WSmjiHrU8vDbmTz8Mn+mj3wQoYu1H/pbb1h33ZEWCMclUxVie6LkiG7ktswEMUnXN/wbCDM/AfXZHV9EbzNDtz206k0ywn01Vrd/OY6yLZf9Uiqpv1E17QgXLIqM33L8r5dLjhNzg+fNJ6oa3FVeBtTkpUJLcmHqZjrXM9tQE/Mvh8g8OEGfRQ+xlbi/sf3PhDNFx5eqTOGcrT6lsAc9x5TLaqcoQqAgZWPKVKgnvmFMARvfPw98lSW2NCd3GChgYmE+AJzapSCDGP6HjQ79bxOW88gfmprVLu/HypmyOXO3SuTGbHsC33QmptXR1m4CHJ/UENLVOUpn9fCIhUCeDC3Ija2kTUTLbnBIZ5uhhXI9weH4feKQTzg9GvTjf4AM0e30bKIn9ze+5qYT6htwuJQRWQttC5Wy7vmQB5LVzQGbfVgL0NILtyQVHjG2wYMcPfElqX642kv3DZwPD4N5VUfY0v/cBpi8odrwy3laJ8YKa9py9YGisSGAChWoPr+XIqbAStZk7Oy2JqP+UtR/CovG8uR2lVFfFWJc29q7t+AZQajJgMTmaXL0uJE/nBFRanaeJB/0W8BxXLgMm8G1YQoNsbECnAYMGEDmYjwEMOlhVCRaLFJ5xogzLHlKbhTq/3M47syyrpIJbKGEvpo6inFAJSmRIUGOGXgN0cFDRpvJp21bCB1dOKaXvEPIoiUlItaTL6tQERLcDNKFooKPdZX1VkzJuvRzopMamiaYeMgSNlSdFiZ6aYTaaYLE4TQ/LrWa5tLEa0pBTynGArgQaMfDBWaHQ9TjTIhkXfswmjI28vlxQtNVJlkkIgZ1GRGKSvNRGyUkCmw8qxHx5DI8GO73BDN2MAl5yj6VwW9R/b06HhY4ltRepvNyxLldcqgprl7dKKiDp8AvE3xfzWHLgqraLAK5y4wb4liFl9kZe+gx7UeXfhz9r+vaOF79j42MI0MuxkcCdCYSpcyS2gJ5NvfGuUU5MpfU0kC3gOa48gPVBC9omgtBKgzrWFBH7Axc4zEqs87aBHX6/EMXLyxuqB/duMD2EqG8A3gq4zFOkWWlic/TQwwwTDMzQVnrqLSl85drmbdUEOnXDAyxGp4dUBDFWiDyk5gY42ZUoMkwwxBWMMD4caQPyaUeASX8VXxpFlmOW9KRAKgzaTvmzFCr0MMP+3mXM9rqYP38DG55pxwXRow9XtQDxiSD2N0mDBYEPhGV7WiexfiH3eaoIt8oG0PRg5IsByVyG+oYETOxvunYSsqlJatiwCWJya7Cw5hoAvOB63ICf+sZx4lTFtkmRfS20AKih0IMyi5OeDeY5qZRO7knqLGlwLt43sTNlkiFRztGCR2PnsXuoPc+mPWdUvdhpgvRGezgC8spL2SPfE41PNi7VFM1kqLJvhNo3sXJ2bKZghy2TwTS8kNnKjZMt4Dmu/D3QOr60gYmQSoH2EQVOnwX8SUSetynYkZ3YrjDhd2r+dwiUAW4ZwAJurcwqbDeQ+VwPeg74yLQNbSBkU/WUjLuTIgVP5RBSnUkQFCL+pcGkMqvUkIHl9OpQg51LnaaHSL6D1aKPw0ppD6DMMTdzu/5tupkDsElGe5hjiImnjqgzBWTu2AIZZntdTDDU4OvSTXqCIrAzhm/3E2Mi2+zNqE6y3UiVQsxIOASm5W95fKM/+bmWeD4oGzeGJ6qlpS+t0tsWAwjv40A+ZEgMACprgpQYSKf2RW3UqTXD9l4ktQENupjrA3S6ezYrK22E6JqlaId1liDNCywqBVR5k9mJANuqUkhtOVOr/JVqtgIZ5le7PiiRtlDyXqx97ealtX/iQQtJyixD0U8xzYeYYgSbioL6xCU0I2lLsDNi5aE2zsfLmMRs7E5YOgroxNIdbXqN1fpjvhJkC3iOK2cQZ3gkI7IJBU9Ck806W5rQfaQh3roJh+/j9jxrz9lxq5ocbnWTHGnam8nCgCCV1CgWKeZJN5ijh4sEHCHQso7e33TCodU0ZTDvGpf5HmZIAUigRJGje5hhhi566GGIiU4e2tfU/yQfOnsO81x43i6aLMkYuUSKCYbeql7G8olZPgH+pEdQcnp1iJInVuTvUQ7OIdCTR7bz64TYHY+RRLMthRiWTdQKjXvsAIMcq3wJ5Cb1QMigWNYzdJ+2fgUApr0mSY00L227dYc3gfgmxsRyW2FAOgDM0Q2eEzt/3bGS6wRcuwmFfaC2Ru2JDJp3k1o/88QwPY024Vg3auflQnuH1ar2VMF0bx1GIdXM5LTn7IQImMv3Ru3BXkaHxqjyAnWtUCm+MPHvVdlEtGjGWBqj6QTAx9VLCLOZ61jM6wR4oBDP77ipPE1CBm0Bz3HlTmxuqLnJKpZAzhgugNZ59nsBaKOhCVwWri50ALSOZg1uFZ8D8xmJsvIVPHVw/k376Vgqc2xyo2+rcgMbjLTB9aoypY6pUvjz8ZiDZWP1JpkhDgIKpCjrzCUvbHPPzgGMFjh97jL21SWcxUWcxQXs4zLO4AJuwriRQFSyQMS67OMyJngMk2yI+dmu9dQikfR9BYXL9cHavGLHEWvnwFUBHDzn7Fs+i+NKQ60Q+B0CO7xMYzSDZMpJjjORI7g2bT8drEYAWMwaYnkaz5JPnLI9hOqXAMiX6FD7y/y4URJUcxAdYwkBn40j1WghFFo86729h2GROIPB88CFFgOOQWHpGExIA2JUGgbAALiakKuJstHEiwHEhcoqDY2LRab7orW7YfehAK28XfB2EGJ4JKs4AoAOFsbAWu1Rhrpm+UoeqJXGWPpcgoubJMen4wD0GyUJrh3wbBmerQTlLDTeOCmZst80GVBHxAUAD5lvmcdnH8CzgEvPg02eNzK7iYY9ADBgeb8WnSa44eoOPtiQ8ImHqy34N5/s1q3kFwgPGHziHEAbaw86mI60AWMoACMAX/8/7QLjjr9qm4p7Jub6Bzkev/WrMLl1iHo/sWqmISYYYgIA4l7OxqbHVss0AWnmp9dYSZdmIpuhZ64yRLlIMR0Pfe8XiDJyaWMGubRN7G3XCAHzTY7flMWUk4QE+DTh8LZngSl0O5aAdQDdnvM1dhIhgB0CPInYZib7NCsN21hY4/KQ7Zi0H+NeSRzwUODJAqmvjkTXulxblZwRSuY5T7ro9ucgu68eZpatianAaiQW7EyKoesn08BiALC2KascmtEZzDXDlZWQYSXsfUxiz0KlKJMM4EEOedRv+Q4WaAKeGMOTwKmUwP5eAFhkqPNSAy+Gqbg3mgZ24l5j8eH90AM3R9Bj7xxuHK7Md0texa1f+pedbAHPUyEh1VFsIqBVS2gFcf6sOeE0gMfRSFyIswA6LnIoDdrUmQGnXqH7cRaHJpQcYQqZ1yGkyoipLeS5fJAbRI6l4yWbBDI8TG1YehmPyK7qq8Tdk+7D6wa27wDA4Ai9wczaygAwK+/MUPC1N1m51XJmV+Q0qXAVlLSv4PYZNRRUv7KqvnKQNVfZUmK5eux+YUwqJ/bYuyWRgGcd2JHvPQh8mNtHtRM+h7M36xgeOo4zl/nSqpy4KGNb1sixxCc8/iy4mmRq7j3NUSY1yry0dle62M7jj3sDumCU+j1rDyTnKUgi04Xo6+jza1Ujy0sUC3jMbNAY17RHuicZBdtHLu6RosQwm2h7usHM9Kcms0isTpaXrUk95X0oREOt9EteLlJgmrcbzEvwA7h2kYtjQmwzjS0LHbNsXCnM8i4yBoJJZYZp7odxoDGArjlCE5hX7vqoesCiB1T76z0erTyxyUHXLluGZ2PZAp7jyiZ0uAQHIcqfhFYbI7jBnAb28wDO7wPj/bAL8ogdT4CHVs+A8/ri5/ByjkTZ+DGhem/yHbtXgwFoyQ0kZLVItVs+gIZrvv2duImVBsxRoHyWOVhg72CMUTZGFzNwNRm50PO4O9J9dm6ipujIKd2GSoKLVoHN7OShjUHHqDIF7Pm2FBI4kXpDqgt45mmrmkiE7Q5NJHLSkYBWfsfaAp905MRE2/Ol5zVDZa0rhdUgBQ4SP6ZLaDXP7xdUpboUDBmzjXLPI9Ftg4Md6heh50D3EfdfoY8JgN5gBvR9Wxtut0NggIdAiHkHSvUmZwozFBpcCQcAqUribt2lBebh/kPh/CjbuUKt75E1j980GS8/toLS7BGGFv5NqoEGGJzBo/fsbna8xRTE3/S7gmFzO1ihg0XS94dK2QZokUlj5gHbT8eHJLR9HegpAfzGmmNOQraAZ2PZAp6nSqIdWURtJcNf6nQHaK6IcvgDhlz9yhVRrAMn7DjJpOS+9wsXT9dP9LRcscn70ErKew5+0K5QFmW6HwCf+bAZwANNthEeH/GWnbgQ/mkWinTsggwCziiatvsBBt2EtU7o+tL9PORdIw2VS5WiUtpjhtzRuVeSSipt+JlU8CzqvVUqnjzg4ZMLgWrOinjH+rYfAJxtTVLrlX/C2tEgUi5eFm/xEM431SqSPeX9I3QMPatct8GqUiiLFGnGD3eMSoHMsjpa9ak9EkMiownraros4AoVoNpTMtD9/es2WUUSHtwyZmckz5PgxjfgbwbfJEaUPaCwgbCrtP9eOSPbBnr49eV3GygJsYd0/bZFLJW17e+YyDa2lRsuW8BzXLkF7aklgvQ+/CctJ23OuJAQmKGBQtKo0dUvfMZGduQKflkIiARWzJxRsEbAU/heDXKFLiepAf/smIjQelIMrc6vRQgohVgQLhT6vmdioNDKVNvadKFQoYZqeE9Jbxdibsj+h7MzJHJFzzNJyyzTXl3MS+LXUqj0pJtpQ0yy8iAANAN0vJSFUOXwCUeusulbTjDy70absRX0wfUixzLJsUzgWDyucuOAYiG2bQJ48h0gz7HM6R7sPiQ8GCevS4DFadxLqkumORaLDItcA1Ue84erf1RS29g6bSERpND+bks005DnXigtSkwKwNof1S1lARyQ0yyV8s4JeagRw8PLkCQ1bLqbkTlBMq68zckxzGPFhWpUglLZjvj75e9ZAqN1QInKKP+OsZ8huV7B/HbRHiplK1a2gOe48s+WwLDNUA3tLIRkI6izDeDUBJLlWUe3xvbJzswHfA+cVNYjhQyDAQAZrCHlEvA9HIiqHqOZ5oDqMYJTuZ0z3yb9Bc+3wyUUDydkKCmTJAJAna134ebX0yomF8afVqkUCFBOVPJv8tqhySoWOp+sILTze20NmEP5t2JC17ZRmblxplIoMk0/TBcpLMtToRlojQMLPtkQ20KUP73DEGAH+5tPPpDHsbYem6QIkMmJiK4lgb0E9QlgwyXI83hbtMdH8mIB8CKX02ds6mFi0FjmPwFWCbBMgAWfnBn7JJOA8nAMFBJBG7zPzW8ep8q315EeXaRGnaHrtXFyyZY2PQR6iI3i1254NYmX3RbZmfoZlUNBu/B3RhMsMdQAdYSwM0QI9AiVKLfPqiqlc2hNc/d+ZPvmbUlKDLzHjpPntC1iQ3K9QEhyAvfauqVvJSQ7eYmdFs8QL9w4V8ckR02wQ8JX1XIyiq1YILZvumqha3sdWQ8uKvFpbo91qBJ/0uIDzRhuoOHlputztQUTou2lXYSMliyjMofcbwEYz5cEZEzq57XiTEndADQ835VUZ7nH1ixDaBsxRopNOjUS71hZ/li03HVxhRrbkxrR6K8S7PJt7obN73WDOz8/RuNzFoczg6EVurxvCAxJNpGX2WMI2CdgX0Ti5cXiLBndS5YhNPElOwAyLAHUiVbhcZd5QEdZhipsW3NeXaUHeqi9U/uQoJ/aDKnDOGCWcWiOKxJ8h5hLvo+AvVXz2jxXFVzMLvhtqMHe+TGrghnjFyk6eYnlIoOdofl7kW2JS6hd829+nGTB5fGxdiflaWIX809JtoDnmHL0930c9SM6Ldkp+O/kCMgNM9SWE4s6asjGoO1+IfpWHitXvGZVustUWORlQVKblAVY7PiBuuhzHr4xKA1gxBbwvy3DIMLwM2BA3IzvGdLiEsugUco8pzRb44APl0YANOZtRYapUhXhB0MkdsgBHgnS6JeMoEzsjr6XZndmde+a4vCQ6rFcZPrZJvBVCZIxDAEc/pvaU4i5iakJQt9tQm1jgONloqZV/TSwTzJCxDLC/G3cu0kFxe1kQrFkuBdTMJZMRB3r9aeKDIxZlOYcNuUCAAMZKo/14eC4MDZB2ojexJyxLba2+2Q7l22Tt91YX+IM0gRDzNDDpB5iMh46d/bQgqox5hkmbbSwzyOkvpaAULUeS8+vAPLcjTG8DLS4AvyxlNrzGGHALcEsV8cfwHcqGcEfQ2NyvbzStwzPxrIFPMeV/z/icXj4qpJ3CKsaqIPGll4ofM4Chex2QqsPIOyN1VY+SyEXnmsvj2VB3kGrSjWZHVJtEeAhhofKMoIPeEZgg4uOfFrXCkr5z4IUUkTt06qXvmOBB0s2KZBqilRJMaEVK3llkZtvLAI0KRV6RoVFEwipJajM/Pr62pV3H9pHYKdcpHaC9crHJtfghEsSsgkboTkhhBjCTVVN8nzJeizEcfJejXYHv49IFiA0WcmJKsT8cKAzYs+j0kAky0sbSNBjxhT7jjcZTzg7Rxm+ubu3l9cLwCqp7DtN+06tRF5UFMk7ZdnFKyhrH0ZegykKzE1bylB4IRK4KDTTV3CVWSim1QQDoyrr4UJ9Fo8/cgZ4qKPDgfH+zoEwBwYH0OrrczvAAbB3MLaZ4GWSXKmKk8b69jgWhDHLC+Pxt4RV3VK7CoEXPmbR93n2wRI65McTcDF1OtBhP/Z1vZ4NHdC1gj++j+DG9pCEQPlTIQpbG54NZQt4jivr9MM0yT9ZRllOJCE6na9E6DsGhEIreO9+yjNO5mK3y31yJc1Vb3J1JO0vDMhKjJEnHwTdStTF/PBXpM6mR0pYVZQEB9DQuc4QuWn/ED6nsufyu/B99Dth22U2bM4yqKQKGlrLiTOqGpXSpooKgQVE/o6xOuvaKZcFmp5dvIwhNUFbX+IgK3TN2D445qPNlZukzeCYq3MSVaNQGVRSWwBbLjLofHMuenFqbNd8b6nmh8oQiupM5Zf5sEKAx6VRcSyPZCO5aFDFngupskPAmACALmhggWbUUgbQpY3yNj3WGn/XzXFJZ3A3qlsab/iYKNkaDlTA6gJAg53L0JHs5+wkA6imp5qOGXQIZ+9Dop4mKcj/CckW8BxXnom4l1ZIz0sDQrUDLDIsK6XXEUntgASPgEy06xTh1Sy/F78HByBy8giVzaqfOlglOn5FsPPyvDkjc/1zAG5HeCCge/BV9gGAAxf3ZoiJzV8lDZE51R5yoQ1NQFp1lNqMWBMTL3mGnpevh4Q8xChlRddE09FlmnkTBMBti9xqma/EQy7IcjCnQb+HufXU0olBe5j1e96xkjEoF5kLpBdjNo4rIeBC15btih+/7ly+nYu8Jl2Xqx8k2GljoEIA6xpGszZjecB30yYJeU9BAXXfMBd7zcnaN1gubZsjhrANiDnwX1lGsou5ZXe4Skvmn2sGEGxmZS+QocvKM1QTXPjqMS6eO4Pprc9oxtThCxzBrO2OrmonCFXYBYVkW/liRKbVKE3cLbkQowXBblIDo6tYDQTzyRcM1F8uQbM5BIzGptw4gmZ2LsKBHkBT+AR+nueit8vx+MtFtiqtjWULeI4rz0K7zUGsI1QwK3MyKGVZeyuE7WPGCHcyDmiIRZHfcmJB4LcEQQCAFo+XEYIu7DwhqD7FqYC4B4pLzul8Tq5VaLAskWGOHsYY6YzhV0c6fcM4b2RCXuXAcgDMRlcxHE2sZ1oXM9yEMQaYeBMQSWxClKqBUOBBqjOlpeAqMvLyovNKpChUhpnSutO6SrT9I03+vD7XOvBK1pAkxMZI0CNZx3VlCrU3vtqWo1Eb6Imxnm2MKJq2ITLYnrQbky7m9joCeEt2L8QQcvBEx0pgEoqNw//W5VGWCQXCTImrk1s4xHJwkZRIMcQEE0wxxAQjjDHCGGf7FzB+/ghXnj/CvOjp9BQGkHD7HPKqokSrvP8Qtym9K2mxQslEpf3USgAeit8lbbFC9QGAGbq4fPkAy4dO6Q1TaPCT6FJpwHPBfCbQzM4paMDT0b/Ht/pq+5PodycpCtuZfEPZPqaTFv5EY1T8um18NRxaWUsVgGR1+MQSKldQtQV/EqLj+Io/AaQLe8gAMgR4iDmh1SMNxMD6jM8xocEyBEzQ14PwLDe5g2wkZhd4sDfQq1jNB+lBXnNEDqS5a/oTWWhwDdHz0j3eneuMoOlYZ7MBcLVaTQEfCRS3MWuI/N2m2qLvEIDhx8TOk8fH1FCh8zfZJutI9ho5O4bvGyBoH2QNYgWwkGCFW5Loy4bVP36b85nK2HHrpE312rxn7bUbLrxuzbhA7S/HPYfKMpipYSfrzLBaeYHKxH8C0Fj4xJ5ZzBuRrtFmvC8TmobATnPxoZDlBZbUJkZwdkbjDrB4tjnyFFwqiAQ6bY/5jBBPxJwAUXrk6nWiTU7Chudpon3bAp6nSkJARf4m4aBlAF9FEJp4Yqqq2D55r03Opb85qBosghmkeSRXfZqj7YeYYAAfVHCmJzRphEBFaOULIBqbZI4eZlkPZZai2PczmEvAwe0b2jxY9Hcz+Jtml/x4P/w87gVG9yewJwMW8kBuE+hkj6tLfeAR6A+pFcZoqqC4eiH0kYwf2DVihssxtZFka9rANkloZbwOGEk2M3Y/fixXrwwAjJbIRxMM96bWC0oaLYfag2RCYupUwEUcrkU7CMW0ibE6bSyPr1rzvQL5/k1Eg/DmC6IFhG5/7hi9OClcXbNUp0VhEuuzfF9MMpSooW2g0ryEqhTqqg7aFXJ3dQr0GHseNZR2MOgD6XNLPD7YB56da3X8eRhV175O3UPsjatQ2MCexmfqg20zaDyW5FZukGwBz1MhIYATG+jbJgv7HYHfMkhabIXOpQ3wyN/0dw4gX1o1FoGdUNwQAB6zQ7S4/lzBCGTDM3e5fRCn+aWBZciOgvZYajwQ1Vieo78d88IBDP3tn+MMVAlggSk+OLCxrwc+dU+iV86uznwfeYqR+/pykerB9REAfwcf+HA1Jx+YabKnj2Q8XAF976cpwvZjC/iyCbAC/LYUUzm1MUmxCUfWR/adHFb1SkxeqnxPurjtWNNfqK3t6W9qf5nXDiWzBzTVotKLKgR4pLqNGyJnAqD55WsG4eSBLmPgnDgd/nw425mhiDI118JuZSh0ChWVoE4UVADwSBYpFtWaHAR0TKIaPTXD6KvGKL8qRfHPM8+2r+EUAOgwHLz9S3b1Etart4rI9pOW0EJmK0HZPqbjSrZ08XSk2A7DgmJ5+0PnmG+uPuLqJcCpYiC2cZGTS+zNHkfNJbbZeC91ZilUmhL4QMMD99HgSQN/Aood4ttH6OP9icYb0OoaqqqhqmY0rzrZRZ0odJUCBzycVeETD1+FS4NJXlaZ5dqF2lemjMqWk6+YY5OBnPxikpjJLUOJfDDDYpRr4HIOPsAJGRlLUDCCDxhCIIR+V/Dt0/h15eo3xLBI8BIDPPLY8EMIb5NsFn03jqmwa8ItKNX0pNOHNgNGKq/ltLMupEqiI4lVSFF4IJe+5X14bJx1UcW5aopADlcNx1SsPBZVaaIsu4jMTUCWoilUzhm6lpFsa8uxBcZxRKnKxgQjTy3yaPSZV6q5zzBTTaKLDhOigOek4x6SNkwIxR/TF2tX80rZ5JiTkC3g2Vi2j+mYku1NsHMqrpsNRmzlaoMnq56SxsQx2aTxbwBuGrLoYFUlWEx7WIyHoASgJNwYtDeYYZhNsI/LOIsLAIAu5hiZ1VYXc6PimjTseFIUSOoa6WIJVQGdAnqlRINNjYDdysp8lk1ddqyuGbDMgDLfRZFpGp/o/NAqmMBQCgpMSAEE2wd/OdivS/pIk8vAeIz09ma48s/HGD97pJ/7uOMHegzVjb43VTGFVFlTNNss0AQslbjOVBzXVr512ySQCzFLIcBjIio7F3DyUPJVsCQSgLQZLnOR12huCz+EGNDi+0LXjRkgxzwYfbWrz3pKRpOOj50nGSvJZPKghTz4pzy/7V5ym/6deH2al71AZmOF8Tx6MrQDD27IAxumWakzxwfeU1lnKBcpikWmbQDHJmI0sTwDrPfWmrfs28oNkS3gOaYM9q5i99RucB+5U1aVQglgtQC8vEYhGh/YjHVpAylykosdHzt/ndhJjlzUO0DVcZ5D8HMMHeanMDvXQ7WvmZAhJphjbAe0zKq85ujVTtGtqhrpYoWkBnYW0ECngBtYCoQHGMmahyZoXmcDeDoZ0Bms0D+1wLK/wHzQwUSVdnoMAR4COsQDkKutHjT99XFcPdb+4LW7+txOwENMcLB3GcVeivJZToXGY5TUdpUa8HKJxfChZxOy4+FgJ8QEhah+eQ0pkqGR7TUGeNo+ngrNRPe1yWlLo/5w6qA2FoUDHKkuStE0sOdAg6uV2uLcuHM3i/PEy8fLHVOBcTWpDMypAU9pwUgIvEgJ7ZOg3c8X18PcuCbQbw58/Gv7KsEG0BH352plQIASHriVt9kELpGt9C71nqMf0LRUJYp+ijQvMUsqLDCEjfuTIB4uhEt4mjh52TI8G8v2MR1TVrXCUSAYFoCwh0FsQI+JnCg2WSnLCWDT+10L5RoDVgmAwRJZroc56THBV34FUkCxVayqdP6hqkaqVugYYIIMDvDIclf24u5vBccEJZHjFdtXAJ0EqJMluv2ZR5LrS7vVZ2UmjwS1N1DPzQAfG9j55LJuYOd8xMyaeHd9l2AZlVtKyO4rqdz7qhIzcO+458A/UzQH9BBAouNCxs50jmwjXA3XxkTxtkxqtWh/aNa3rpTOLA+ngNTPPfWMxR2L0lRUcomrmnyj95CayiuXYEf0Nv8hOSBde8c65RlPcJuyOjjAo/uasy/j/Y628TLwesl7c5W1XxefIXLsi4SN65Pk+gAxHJVZJz8t3djR1+C2SCqUSe2Yda9CGgR7YEfVrJ7NRkUt4NoDZ1wHOYls6U+TvF9bwHNMKRcpdtKQplsLra69+BHcjTakA46pFdpWEXx1y200pCFn2xtuAzx8ogqtqM2KaZfRxICmj7O8xDCbWA8tWh1X0KkWJhhA2/f4mZsV9ECkVAWVhVfjSc3uZWx6PNXXQnyHQBKgAdGC7SuA/CqQZwsgWeAo0cRIbZ5BmXcwUVoRBzij4pmJ/XPFmGXP0fMmkDYDab7fHa8swJleHWJ6aQRc6jSz0xOjIm14rO3Ojm+wPDiyg769V6WwQg+Y7rg2yK8/FfcB+y2ZHskIiVW2lRArKY+hv6k+HEBxtVZL+7X2ZkVqU0WUyJhK0p/UMxQoUaInQBD9JpYotE0GEpTpIfi1OEtBgKQ0V5bqJikhVZgsK78PXX9uS9XzPBlLAUIU62+yXjJwIRf/Hl3mj8kCgIqFQIixCnlJ8gVTSHU2g/bEnGU9FHuO+eSLz1C2+jbbrKAkNVwMtcaLOd72rdww2b6SY0pV7WKnJVYETzgIwKw8d/yBnYOJkMog5BUgJxA+8NOkQJNbBX9S4PfyKrPmb3kvrjoIBB8EYONiEKnNBxcZJBAIh8PX31VwYuK5t5SqkWRmZV0X6E6X6NDluL1PqF4SeNJxBQAF7CR6eOuYOmf9JbA3QaHchEkr2Rl6doCfYhgEM21gR9L2s7qnkzVeOuXn/TmP9mi3I7DI1qxuhinZZTFMAKBYZFjlBbDI3TMgADOGbysUYnpiICfUpklC4Ef+pr/5edxIW5YlMorpvlhrJiMjUJOBG7jqW/nghrM/bntl99M3BwEc7AyMbVrIXoirlngiWVtm+OomLiWa4CZmJ0R9jQMdAh82bIMJfyABDwdvJVJ0MfPKQ8CPWNAaCbiKlwMsuh89Jf7MU2+rtpOSasU44EltPjGXY8wAHqVQq9i4st5lXjohfNnLSai0tnF4thKSssiws2jPLuixO4kZkfOA7QT9psF8gTiYCQEeflzoE7KLOK4aK2g7UdnJE/BXUFwK42tEjA7gGIyhYX5iXlqhmCihFRltT1WByV6NdE+Dn3SxRFYAO/TcQou4TYFQom2K0myJXl8bXM/Qw8iukvVDJnsbHkKfq8L0303GRx5Xqgyz/R4m+0OMD0ZYnjvVZHiknYxsC8T4kb3BeAerRV+nEOF1lUbKdK0BO5ffJ8b0VPAZs02ebWwb38evPYUPvDmwt4uKDpB0sMqBVQIsmQFzmac2fouupmt39H5oAuWu1zHbH276y727mudQ208M25kCFjRUFmS0ubNLCbE6Up1FMZ0IHEjAE1IzyX5GCxUNWlKvjiQ+U+USnA4B8912H57Q1DE9MXWgPleZ2D2Jd630GM+vTTgTpZT29NtNaqzyI6dGprGwbTz9p2TDswU8WwnJ0WEfR3UsmRacLQFlRE9q7JoQ6IDzGCDxjEvJDTKm0pIr5ZgdT8wmAmh20NhKXN6Hq7IMo8OjnQL+apNP+iVSjHETLuJslO6nQbaHuXW57Yn1aGjFHBQFnc8o8Jr4ICtzaA0PF+hcBXAVvmeYqX9eA/vVIdSes93oYY4RxjalRShDO2d39GNWQXaH/qb9c3RR7GeY7XdRPj/zVsohrxYy4pxNe1hNjaqKWMJLWG9kCVPXEVy2+5C0gR4gfA/OBoVsf0JtHOJ4+j1GMw4P2LcH/DtYDTpY5H0sBtqoWfbHJKnR7c89u5kUJbrGzYYzH7K9OlWM7w3GJ3HJLriUEM1JuT3JbfiFxFRapeCgpCdiKARDzAB5gqFlVmT7ls9DocYI4yBIvFbRtkuageNZ5EOeZLxeTcjaPD6kRlSokBo1cJHUWCYmavtiZ31fmp5IlbdygnJDAc+9996Le++9Fw899BAA4IUvfCF+8id/Eq94xSsAAEdHR3jXu96FX/u1X8OVK1dwxx134L/8l/+CF77whfYaRVHg7rvvxu/8zu9gPp/jW7/1W/Grv/qruPXWW+0xV65cwZvf/GZ89KMfBQC86lWvwj333IPRaHT8QhMLE5IEegWQmD+YjYsXDp3ZvJBLZVUp1Hnpx3/YhMJvs4U4ibe7KbsT6Pk8rk2KAiVSTDAM2jY4EOKAzsAcTWvnnhmkYhGQ5UDGt/P70ORFNkY3YayrOqjRKZa6ngR4ajh2SGnPrqwu0FUzDA3woOumVmUSjuMTAj68Du5YNzDLYHYyUSTPvzVRQ0z6Q4z7I4wHI0zPH7iBeYpmdObg+w18wL5jqsCYyotEgvgE/oSwQHjykOyRZHdC5SSAPoBT8Q6g++ZAh1dYGUPWJVJ0KCdTVtnnG1e1hgJk8gCFfqwfao1SYioWAJ6dWkhUtd7mpE4UKqUEDNMqLu6FKNsS9VGyVSPDZtpO9jikiOIxgnomtDB5GNKCIrZQkYA91EfamBpi4ZxqLQxeZOBFFxXb9buQ3R0XGsPrvMSqqoHEeD62OQ5cL1HYGi1vKDcU8Nx666342Z/9WTz3uc8FAHzoQx/Cd33Xd+HP//zP8cIXvhDvfe978R//43/EBz/4Qfyzf/bP8NM//dP49m//dnzxi1/EcKg75Fve8hZ87GMfw0c+8hHs7+/jbW97G175ylfiwQcfhDJ63Ne85jV45JFHcN999wEA3vSmN+G1r30tPvaxjx2/0OvoQ8uCxKF/LF9MWx4ZAM0JITZp8X2AY53Wdc7o9X2bnTQvbVj3UIwSTntzI8SQuy7XpfMVMQ1/GxkUCpErOb2NgEllvDwyUI6gGXr63qpG2j90YV34MzTeYssMqEy7ogCBNNDroIu+/UVoNdkW+E0KV62Q7Uk4qF1ln1yBFEU/w2www2rR98GENACm7waTh3B7iqmj1qmrCHRx4MWvKZkefv8Qs8mPC7Vb/iHgM3Lqrcys2nk+JmoPgH6uc3Tt856boHu83fIAgHPMMEMXQwMmnLGv86DS5/ktgrbJwJoqMnzUSWy7rz8hUFQr8jfT0IDYJV3HxCxGtBAQ6Br1mv7H3d+p7Moru6xT6kEs372fi4wD5Mq1Tp3XfDiyX1CddH/QQm+Y2xXN0POSljbKwjy+aHzeTWogqTXwaZOjRfv+k5KtSmtjuaGA5zu/8zu9v9/97nfj3nvvxQMPPIAXvOAF+E//6T/hx3/8x/E93/M9ADQgOnv2LH77t38bP/iDP4jDw0O8//3vx2/+5m/i277t2wAAH/7wh3HbbbfhT/7kT3DXXXfhr//6r3HffffhgQcewB133AEA+PVf/3Xceeed+OIXv4jnP//5xyv0WsDT3nLqSjUYHi9YVqWOt2qQk1S+BAUFlJmhQyJVbI3LU96aTBLkTRdcV6Qw+AnFC+HH0eDIJx8OFWLCh1y+cg27wvrqoMa1+grDfIK0r22ASMhjq8w7dpDWag+t5uhiZm0VqEyANLR0bsFcNaXgAyQewZe2EY0fC+KWImsCxLPAZQAr9F07kWOwBAdRwLMm0reubFikITSBlAXbT2CIMzlUnnXaELqeBGjE8oyA3YOrGI4mGGYTdJkxPeCzLMREFMhAXoW8ffP2S2/Rzxfn54zjaSw42CeVKrUIikHV4cyiFGX8hBLgiA0XdYJGBHICQNoQmF/CgRIJnKll6r8T024zA/bcEqEWz07Xhxsdl57KOJTOw93D9VXFwAmVidgb96r9OEjaLsodL4VsiiYYQtsiaa/KcTHCZDzEatz3mU8Jtqkd5fACWobYeilHvQmuRPeeoFCIjWuRLcNzfaWua/ze7/0erl69ijvvvBP/8A//gPPnz+NlL3uZPSbLMnzTN30T7r//fvzgD/4gHnzwQSyXS++YW265Bbfffjvuv/9+3HXXXfjMZz6Dvb09C3YA4Bu+4Ruwt7eH+++/Pwp4iqJAUbju98QTTwSP80Ta7wih7MIxJme1juHx7hX4NvY1XI3mndLSOWMdV66A5fe6IGuhicLtC8X5OD6jI8VndpoUN8VbqcVHG2VWUKoH5DMTE0iPBJS+olIqMAA7I9iQcXIJGZBQD+MyRhHVn0APv04TIDpDWGWPVRYo2gkoL7AYpEDVCTMirYDHBfJrlXXtlgK2EcgJGdQDPiPEt8Xse6L3E78TWNDOmYe2yMn0PmZIGm2YjtWgQdkWlJiJX/9L7XkuJUltQZUDtC5MQEJehdK7kNdH6e07cKBHVT7zI9keXmbeXpp1T20Z6UP7msysDzzo+ajGcc6oO8bW1qZHUrsPeTdKob62zjZIX89fkNVQKBaptnMbww+/4E70c88l0CosMGaQ2S+GZNWybys3Rm444Pn85z+PO++8E4vFAoPBAH/wB3+AF7zgBbj//vsBAGfPnvWOP3v2LP7P//k/AIDz588jTVPcdNNNjWPOnz9vjzlz5kzjvmfOnLHHhOQ973kP3vWudzW292+5hJ1T7VnheG4WstFZLtLwxCCDZPGVM3W2mDExfUcmJmKNVFKZsphJ2JTDRuGV5bCeCA7A8ZVNt+9y+MQSF4ZUVs0VtT9oUkLSASYWOOhVo3ODbRs4uVcNDbO0nau0NAjRjIhe+Wk10ARDt+pWBRJV2xguMeErXC50bx4vZIautTmgcnHH3JAtT+jbv3/lgSJSsdGxyV6N2WCO2aiLxbSHRpJEDopN+6GUIZswhHWl7HlRwJ5DAy5iXORKeoBmzB+pksoj35LV4RMV7a+A5bSLMYB53tUZuVXdaJuSeaG/Q/FnOCNJRu9c/QMQgxEyKHYhGqzNTwYApQ64aUIjeG3PsDrE6BAAB2BAeLPtOEbQsYycBY2Bc+JouHEyV0vzc3nwRcn08mcgwwEQhJKBEakMISZTStviiPoFlYnek1V57ZWY7E0xORjofiEDeTKzBDJyl3aYbWDnuspJ2PBc6/n/ROSGA57nP//5+Iu/+AuMx2P8/u//Pl73utfh05/+tN2/s+NT50dHR41tUuQxoePXXeftb3873vrWt9q/n3jiCdx22234qv4jUP1B8ByuvpjVPecxs0iBaSdshByyoxDqKQBe3qpNhLNIDYBDxnbcbiIUayUh4NPBKu9ol+YcmNpJJa4+4/Fe+AARU2spOEPiEcZ2sKUkmrXxmPHj+vi9lFZzfHvII4oMn2l1PsFQBDxrAis+IcpAc05Z5dP2PBYKVxVQ3Wok1mumbWCPJSP1nrcpM7nGk8pliAlmqodyL0WxF47vIlkw+7zWRBTn+Yv03z6gJlkBQJ7AJtXl6qYDNMGOBDybhl6QzA7JAsCig+W4g6XcB3iZ1Yd7U9MGr1i2rE09RWCIQJIERqF3VwggARiAkiWokwJ1opMTkx0PARz9W6FQMh/WOsDjgwsOKvSxiXcOgXOuDuZgh5/DjbdTlOa3AzU8kbCLEu0WA1QubvEjy8olph6XCyz+m+frozHGGl/vpSj3fAAonwn/buQfi/QRANGI/CcuJ2HDs1VpXR9J09QaLb/4xS/G5z73OfzyL/8y/sN/+A8ANENz88032+MvXrxoWZ9z586hLEtcuXLFY3kuXryIl7zkJfaYCxcuNO77pS99qcEeccmyDFnWXN53MYcKBFhwRqgmY7IqUCfaXsdrSzF6vkHDt6un7H0DRnUkjRW3BDvcA4Z/UzlDajOA2YJ0gCTBKi+wqpQHyupKaZWQLHdkDOAAJsxkSAWU9PgIN2WuGpLn8AFO2xDEwZhcvdIAL/dnBYtknNSoFSnQ/Hgt6yQGcjYNiObupcAjBIfSXtCzb4BI9pMP7MqoZenbux4H1/am7LcEMrwvSE8trmKT8YVisaZCElKV8XtUOwAylEmNejDXgesMKCaGkatx7XNgALhNrUvCwUMFbSzswIqJRq64jZ+vTgUQBTuhvsMXYDK6c8xr0CmvkkZboT16ARLuH6H6yzLpbfyJNW3SNhFKtUHnOJVd80U71VbNGOOK1acJeKh8BFB5DjvuXRuTo+lyo3ps5frJDQc8Uo6OjlAUBZ7znOfg3Llz+OQnP4l/+S//JQCgLEt8+tOfxs/93M8BAF70oheh0+ngk5/8JF796lcDAB577DF84QtfwHvf+14AwJ133onDw0P82Z/9Gb7+678eAPDZz34Wh4eHFhQdR2IGtNLQVEFHAVZJjTIvUAyyeA4kppIKubEDTfUCzxBcLjI/jk8IVMkxQE4CNKk0KyYC2i3RGczRG8yQZqWNTSLD7tM3NwSl40IrMvLSGjLjT52sYext415hcvXa9AtxsUY2ARBkqKl/c5sfVw+S1Nhp8KizWVHaVBcAUCcrVP3C1HZuJxzuycXr4pdD2XrxSYuvmuVEEoq3Yt2QTYyetgHavvIWNlGqa23uItnuQnY43C19Kv4OxQgiux8ea4e2N+yN2L0gfse+SXIAyQ5WOXn4FDY+8Qhj3IQxBpighzkkw8PZQFJphVgeaa9FDCPl7iosE6KZHoXKU2k1vfziqim6Rygnm03HwNiUEMDg7ZF7r9G1QyJByxxdzI0aNyZSPU0hKbhIIC7rzPuKfA78HLoG2d1pxmcevDb1nQmGuHx1X6d4Od9x0c7H8I3sQ1Jcp+l1y/BsLDcU8LzjHe/AK17xCtx2222YTCb4yEc+gk996lO47777sLOzg7e85S34mZ/5GTzvec/D8573PPzMz/wMer0eXvOa1wAA9vb28IY3vAFve9vbsL+/j9OnT+Puu+/G137t11qvra/5mq/By1/+crzxjW/E+973PgDaLf2Vr3zl8T20AHRQIgnkVHErDDckZSiQqhJlP0XV14HhpDrAz0NVN4L4hRiHGibGRpKhmnY12JnmvqcLn0RI2tRncuLgxw0ADBYe5U8fnmsnZONAEwH36JKgh+rL3Xx5nJxeS+BBetqhOCOxQV26idMqjgMMujaJjrHjUg7o+nCQV0FVKxfdGaSNXAB9fU+yIfBVBZVdYfKyUV0S1ObpZTYIXCgiL9XBSydwteuCEPK4TlxCNjACgEvxQE4IwKwDPRL8SHaRhHto8d8ShPMwEDwrPF2X37+htmXXt5d34PsmjLGPyxhhbNs6l3YbNVchAj2ciSDbFv969GabjIf0QgyFO3DnJF7Wcu5HRj1YBh+klunbJvl9T/ZB3n+4qze/N09Yyp8bz59FKkHuuRbq67Kd0zcfA6TNHn+vVE/OzvLjqO+NUcOmjXnkGcAXAPwN9PffAXgEGvwAiPt0Xydf7y3g2VhuKOC5cOECXvva1+Kxxx7D3t4evu7rvg733Xcfvv3bvx0A8GM/9mOYz+f4oR/6IRt48BOf+ISNwQMAv/RLv4QkSfDqV7/aBh784Ac/aGPwAMBv/dZv4c1vfrP15nrVq16FX/mVX3lSZV4ixUp43ZBIexFuRKt/FKiV2Z8wBkEYv8UGSnmfmruzNwsT3pagORHF7CAAtorOUFPsEqai4fYscnCR4eIJ6ISiLAMAt48hI9AEbmiPqbN8D6zagATHzHCp0Vxth0SCJGmAuoldDWDUEeyhcmNqTufLFauvAAtNaE0Qx69f15put6qlmCqV9nnvfUdvoAB9gEZv3MCdwA4HOvS7DfDEbNhC7uch1dUmI5ZnfMruL/8WQH/XpJ1wAJ3n/OZpPp20gZw2LzApTrVFxZOqxya4WcfwNM9NEGI/pEj2itQ+PEo6HUfloPvwMvG4NxyIECPGy6IBiAMh3GicP5PSqJ4pp718Rs3n4ICPHEt9VW6IFdLqqyhDCQCYIdypAGCy5klv5XrLztHR0dMk5NC1yRNPPIG9vT30H/3f2Dk1bD22zUg3puO2g5hhgYpF6qedaPOmiq1e+Tf95itqOVnJFTGxOyMA58zn1iOcfvajOKsu4Awu4gCXLAsTyiYtWR6+jY7jx/OJpWuu6cUrge/OLW0TbDAxtqrk4EACi6Z9QzMCLfdE8dfIE0/l1qtnSBdLq9Iq813MMg3fxlY5MsJl7NsM66EkjlROyULJsvP2I1kunnG9WGRYTrvAorNetbmJGlQO/FM021Mo3o+0x5GAJhfH0/c6NjI2h0u2MniMNlgejCYY9TWbcxYXcDMexVlcxFlcaGV4gHaQo/eHJ+bjSOjdh9q1u4dvg8L7Q4z55C2Nsyy8/0lbpRrKqn4mGOAyDnAZ+7iEA9vWZcZ0Gg+4k4L/uWLY47k3VlAb58lP9bW7JvVFZoytm8bOof7Pt/PjSR18BSNcvnyA5UOngIegWR365mqtmKyeAP5+D4eHhzh16tTad3xcoTnp8N8Dp9Z4k669VgHs/b94ysr65SJfdjY8X+5y9fMHQD/SILhtQcDWhdO03J2YhpYKXdSVwmza0xPUtBPOlk734vcM2jUwLFuxFfkYLhDcJfgZuPn9yEj0HIBbATwXAHYwHowwOjsG4BJmDjENgjvfvsG35wlNFBwY0eqS2JWQqkna8BRI2ZAcp/t9dVCTRwqtmuW5vkos1UxdDhvltsj0Cpfg0RgjXMQZXDKTAg3vpKbym5LPgHHViXSBp2dCagXv+fY1AC+Sytl6eQbFhq0B2tVM/LuCD3J4m+Kgx1XGCwKIA/P3gfmMzMd4S3nCDe0lsOfgnO5D316f0N6EOoWEbxsHAN2M7HWu4CwuYt9M2wR29nHJAB4f1JO0MTchkcDa/91uhxL6vY5tVKjQRYUus42JhXYI91sHgiSTpWNJ6/Y4RxeAdgDQ4GcfF3AWl4t9HeRv2tPvMTnC7mCG4WiC/eyyZVnIdieBtq3RNns+4JmzfqENv3UfI1Y39Mz44iHmCSb7fFloD9vleOjGwhH0ODhAOIGvlBLA37e9mROSk1BpfZl42D/VsgU8x5WYWoDEUuYuBg8yfyXBKVR/ok1czJ5Fx59UQoCHr4o9wNO0wVhVCkgyADv+hMEnELqGBDwj8xnoT28wM1YlBVv1OaNePmBKlodYnBDbxQdVGZKep53gA6B7HASJ9HdM5ETSNlmsAzt6mw98KuUDK3l9P2ijn6AyJlLFGSozrdz9q2e2TdVV4oclsBeUBvRwXnhczSQBDx3Lz5uyc2OAh9oT/fZUVpVnM7RiMX5QNe3mGuWS9Wio6hB1BPDBuvM24u9FeunFZJ3qiv8OsS/S9bntGutEApSQKtk/vkIT0rtn06YCon6rmZupYy8zBXVQoxzMbPDVbl/a6c0Mk+Rs/Xh5uRpKCveB5Eb9IcPmNvHCUCQKKqmwTCog7+i2yhcANE62Gi233u5pJ0VR4I477sBf/uVf4s///M/xL/7Fv7D7/vEf/xE//MM/jP/xP/4Hut0uXvOa1+AXfuEXkKZh85EnK1vAc1xpQ9Ni+6pSKBZGv53ryVBSwrTisAamFOqcPpJ1ofvwCWTAymWMi3uDuc13RQMGqcy8jNrjHX+lLgEQU2nl5x7H2b2LuAWP4gwu2NUwGS/zwZVACjeA5H/LSLeSzfA8u+rC5hniOYYoPolmUjJLbQM+kGzEzgiAFn5M83iyA/AZIJ1vKGOrYGMToHyDTgXyBhmDAgOOMG54y/CyUH1iRqCyzJLlmhc9FIvUBVVrM1rmbcpTFTGGMGYUHALOsQXBOtXUooPVoqPvG1PXxmyB5D28uiUWOFUBZwGSkB1VaVkAip9UeMfq27QDCBJ6V8TEcbXM3LRdbhrcdq1Q3/GPbaqmuPu8BBZtIm1/JHAggEHxn4aY4BY86hstqxR1312D2/Y5BaxLNso94vyy6JpRYMS5cWmYGrUZ9ZX1rJfuk6HrA0ChUgz3MhR7Y8zP9RxDNd1pGujHZAbg3tZinIz8E2F4fuzHfgy33HIL/vIv/9K/dV3jO77jO/CMZzwDf/qnf4rLly/jda97HY6OjnDPPfecaBm2gOe4sg7w8H08VsMitXF5uJFyXSuUixTT8VB7WpFumL7HCAMeAjoH7J75EfLBDKM9bVfCgQUNAKXKUPeV9ho7m1mXZS9rO4vQnOUlutms4bFCNP9NGHuRaQE/PonMgO7sAYx7OcsMTaogAjZJbTyeKugOKQaXDgBkK/TyBWb90jBpenAukDVobjlQx4BQ6HgafN1qMjGDrp9GgOyM3PX09UkVQs9jhLFHqdPxHOyQzQ+g1QXatqBrbSKk+oOSIHo2O+vcvjnQyeHlC8ryEmnmDNWvRXj8ErJPs9HHybbI3oKBHfp+MoCHGKpqx/bFdbnjfOYuYROsDkFABroSKHAPLJJ1E7bN64SRl4lL2qHEWJrQdndvPygiDBihvkn2cZJpDS0C5AIhBCa42mwfYZVc6Bz5DP394VmYq/8KA+e4PQ83nA7bCjbjbcln0GN9scgmGJ0dY3ZWJxotFmlYPSxlcp3i8ChE45sd6xpPofzRH/0RPvGJT+D3f//38Ud/9Efevk984hP4q7/6Kzz88MO45ZZbAAC/+Iu/iNe//vV497vffaI2RVvAc1xZp9Kyx2lPl1VVe55UKqlR15oFoAnAi43CJyFicWg73Zfv81QDepIif4xw2gedNJDcXhVqJKrW4emzxAaYo8ByqSqsPp2oZ2642zX0NXdL54CHu5nTCq5XzBou3N7zBRzAIbDD93HgVwE7NdCvVlD9Q6g+qcMKz1WWD+T6Er6hMk/qGWKFpNs8qfMUeDyg2niR1N69OLDhXlpS3HnuaBrSu5gbJiixx9KgrM9JUGYpiiyDSmrMAB1VGCyHlhQJ0E2wS5XUvuoH8XQeTbVkzChftzHr0cPjRsUAWaxtSNBG2ySzE5C6SmycIRsiQjkPJmJ1ODtYIEXPtBMCrhyMaAATBiZ+8ZUB487OjAv1G/u8oLzrSJAjgQ8dQ/v99lratuSHifDfrWQ6qa7c1ojXv3nfZpvZRMXHFxKh6/PFQIHUezaUwJVUaiGj5VBZ2/br81NwNblCBZWYfIhkKtB2oWNGx3/ScoIMj8wZGQvAexy5cOEC3vjGN+K//bf/hl6v19j/mc98BrfffrsFOwBw1113oSgKPPjgg3jpS196TffnsgU8x5UpwuEVpMFkBSDfAaocy0qhzkvUSW112CRepvTkCBjsOMAzQjyeTs6OGQG7o6sYHYwxVH58nPgEpDBEU51Tkw2KcgNw1xh0jjDGAS7jDC404pNQBmp9qrPB6WKG3tUF8qsADgFchdYKLMx3G3iM7aMqKfa8EyDPgDyZAtkUyL/k7+fjXwIsM+dFxXNd8fSo64AJf7b6CXQbk4cubsjR1w3s/D48lEEPc5CRMhnVEjMgVXI8NskkG+rP/hCTwwEW46FLbSJtazyWp0InL5Hlhc03JeMr+fVvTrohcEQTFXnSlIsMq0t9Zyw/hmMyuToV8Nkn3u75NjqO14ur5yoAVYLVAkBeWjUzZ3tmWRcZCgPN55gbxoAWDQlqD/A8GYkFytTvema/B8admVy4dZXCzgD8by4hlTKPqSM9oEi4pyOARt+QKlgqE1/gUOJahdrLTC9ZFP4MuOq2iNyHn0t1HJmgkDc3jqJj/ack01nwPinPKYxJ9MwYY5vKok4Usryw7SgmR0l9vSLxnJjcdttt3t8/9VM/hXe+851P+npHR0d4/etfj3//7/89XvziF+Ohhx5qHHP+/PlG1oObbroJaZq25rt8MrIFPMeVgGoFgBukydiXJpYc2jYBwCqpUSfKrg7sJYnhSSqXc4iuJT1RAGavA+sNNhxNMFQTO6DxTOYhkR3cr6KbdGn1RC6j+9bxVHuvUBRa6cGRFSV6V1fYuQoNcqYAnjDfBHpo7ogxECTr6FYONhX7Tdvl+QnQyYFOf4V+fwr0AfQfx9U9B4BCuXxCND//GwDmgZWprmLTHTakYnNVdjFIaLgeYtIAY45F0mzW1EzSGqhUwJ5mNZbk6cQNkT2wQ+xO5YVUkBOVLk9zsg0ZupIQq5MihVI9EygTGuScN58xnOcLe0+NZKFkUyYBTiL+llLpPrUyYR52WXqMYgGkWWnN8GmSH2ICCvpIAKBtAgba+xU/lrcfzeQ5ZqGHWZDd0c+wCD7rkDpIqq+4e7m2kTHnGrVypZxKrjCeTwAsIJEqI36fEqn1AvM9LuPBCnV9XX/g6loNjn1bJt8RomzUiTtG8OfNAc6MQT8Xldx30efsmrtGYlVkLrWKbuMyvcp1F1rYXYuY7vrwww97KqQYu/POd74zmFyby+c+9zncf//9eOKJJ/D2t7+99dgnk+/yycgW8BxX1jUuuc8CIb1jBXh5p1xgOOM9swgYgwJxkMUSNtZqs44XGpTbBvKYZxAXPskldQ1VBchezrhwNVXo0vI5btJS+XU4UyCfXR04rgD6xQr9bGrZHx4ckjJSc9UXD0Un7Rya1am97zYJqdtSYz+SIkVtnXPd++GBH53qRBt19gYzTCqFFXqufQGM4dFefbtM1VMnClAak0rbkNr+T8bpTaEJjX7bwHc8oSIvBy9PxX5LFS9X5/K/Ia7B65YXOqhgXnjZrklS5VgQPjET0KG/iY3hsk490iYhIAnoPpkGtseAjmTY+LF+S/XBB3cGsMlJVW0t03Q5NEtbQdu10LX5eCATutC9Yqo9pzJyIgEG38aPlZ50zgib2QWy58FZHYJ4xN4RgOOgh5eB97+YMbleIISp6KOyuAY+8BhyEiotc/6pU6c2spn5kR/5EfzAD/xA6zHPfvaz8dM//dN44IEHGsDpxS9+Mf7tv/23+NCHPoRz587hs5/9rLf/ypUrWC6Xrfkun4xsAc9xRQ6wUvjgTf1gAWjWpgNjatvU/W5imMknCEvZ72C5SFHnBapsPTBpYxpCevnCeCFJtoN7YmUo7eAJOKNjzz6HT1wciISMTuVvFdjnKgRTeP969PdV9rcrvP+eMjh2KAE6CdDBCkjYW8qW+rgBgFPA1f1dTLKhMSoe2mml+Zxq71lJN3s5YfGVf3iqanp10cBMhs5ks0EsT5qVUAc1ZnnhjC2NEMiRXkvlIjXb0sZ+nv4kg2ZG2lQsNRKr8ptNuyafnHiPEqgATVu1kfgM0IjdQ7nosrzQNmiZD01J3SpBHFfDUiRhyhg+wQAZ9r33RPXndeZGwDEbG3lPf1t44lyvzqob5yeBOlnlUV0gXSyFDd0KR8kKXbXEfNAxDB+1RH0/UlFLdW/oPjJYqGwTzobQr3PMxZzv52wXz2bPnSc4SJ1gaMs7wRCXsG9CSp7BZRxgUg8xGQ9dkFc0+wWBmoRtD3n6cTkql9cH8NwAOTg4wMHBwdrj/vN//s/46Z/+afv3o48+irvuugu/+7u/izvuuAOAznf57ne/G4899phNFP6JT3wCWZbhRS960YmWewt4jivHRdNtRpjyuDagEzLgtB/f8Nmte5JWRiEEdsIh7TezZSFWhzysGhJS+YWeZUgt1fbMueoPcLZBZPC8KbDi95bHZtCqrz19rT5WqM/OMFNds/Z1A2xTHeFFWgrmC4oBnlAy1JB3F4EO+puO66Gnr6NSZwC/RqgtcXszTtvbwZ4xQJLlcSoLXvNE26tVO+2AhzM80naHG+obdS4FE+RlI9YmNOFLFRBvx7SvhjOw1qoPCXZ84EHJZB2j4t6/BAf+9/pI7JswPPya/Lo+GCnRK2ZIFyvtAbmAtxDYqTTYr5Mlqn5hWrWCZhQTew/J8HAAL93fpfKXP48Q2CHhZ4Uksdeu7POXKWxINOiifFtajaWjQB/gwuEZLM6fbqhTV6b9rUy7WxqmkGzcAAaGVHiMXWWhUIhPgXwZe2k985nP9P4eDPQg9NVf/dW49dZbAQAve9nL8IIXvACvfe1r8fM///N4/PHHcffdd+ONb3zjiUd93gKe48o+2ieOEMBpU0vJY+UEHzrHs+E5Qmcw97yzeASa44gcXLSqREuIBZLbLC2eAHW1glIAMiDpB9zLj1e0uPDrGdWU983v6VfOV6vR39yuiEvOjjfPf5gvUZyegttq8MmAT1Ah2MKDLJIoUATu1FxJgSw9+D20QatzhaYJjrzzUmPoPMcMFLdHqRrpXoGQbUnrI2ZqqFByW6mi4PV3LvwpyiI1QTXhx34ie54pfCDM+4QMy5AAu8zAmpeNMznOo04CzLjdyzp1EX8PIfZC1z+178Zd31fxKA8WOrDaBnr436H7h5grkhoKs6yHOjGqrMwtUAB4ca3IZoWYK3quBMSbz60JsGg7D0gqyybbYmaASw/zoHu+H+5iZt+vfP4hdVgPcwyMPSI9597eDJO9y5jVPZQLH7bLAJVk1yafc0xWuE6A5wRVWjdClFL4+Mc/jh/6oR/CN37jN3qBB09atoDnmHLqmRewc2oW3U9xUOpK6azSFAslpp4CmiCnEQBO3ITZJlCQwZ7yE24eR3wQ426mJ1/H8PhuqgnjLZQXYbhSCshgqW/fJqWZ38rdr7nSltvk8Z5KwajV0sUKHQl8dMFNAeG8xK6KD23ngIkzPFfdvp0KeEY1RbZfoKe0OWQoKzSfCMjewNaxrq0q0L4Dw57w9+NCR9I0WXmgBwAovnIPc5QscWGKEgNMrKGmfM90D/7N37dc/bWdK1UQgLaFKYsUh5dGwDh33lnn2fcYfrwpAvQjcxEbU8fsy5foDWYY9JsG807V6gx2ZZLbZriGzViXNjBCQAcBW5/Q9cOqML+dE9uUsmtQu2+ma4mvInjqkoka6HcacTKS7EiKAiOMo9cOMV8ArDG0bN8A0EsUCpWhh5k1EKdgnNxbMhzROWw079qfqys9LXK+AHSAxDO4gNvwsI1nRfHJ+HkcrPMxjBhVOi4mNaZ4NLr36SnPfvazEUrf+cxnPhN/+Id/+JTffwt4jimDbIrdyEBRQaHOEuP5oTPMrKoESASFz4EPp/Dp75DhJReTNkLTq6XVt6+jxklCg8g62x9OUPsKGuZmrdz1CdxwtUybaysJH8BSsRoP1cs7VlXIlA6Wx8EPqdesvUIBPdiTfY9UidHfxAxxhiiBA0q5/u5mS1R7M1Oenlcv5T2hJjgDEDTwVsqxOlTnBOF8QXwf2VykxvpKsxxNlQqJBDrcZV4F3k8N5bFYMnBj0CC+1sEGdZBBxD+S4UnYPskKJjVSw2rKZLSSCeBgR9rZyGfIn1EbuxOTCv7igF/bMRUaphJzEgvkR/vo3FAZQv6C8pq1eFchcOvu27yeBywCAN2eG2rHkcdWJyvdf1gR+MKAxol14xKdJ+tKIj0fZb6uUCJVCXa08b/vLs+XIDGJ99YTln/iDM/1lKdJNU9OBphABaIryABwaZahzEsUZCi6SOElaoypqpoXhpfvKAFQdYAkwRJAYYzpVOZ05DQw0sBK4lYnftZku4IxEZcBWJddirJ8FhftKpFYCuf+3PRA4vewqyj4gQD9yZWrSFy5Je0f8hgqAWvDMqFrKP1B5k9WNIh3McPwcIHOEwAuw9mIcE8yYnnIoJmM1RfwwFLnEDjdXwD9BZA8jqM1varNi7UOnMtXlfxbghQCoU61pQ066XcPsyAokW2iRu2tYJt2Xc2Js2EMz9Rgntsu2eGM4Oy5BmgmYyS7nRFcwtFz5jPSEcVTVXj2IoAPMKU6h54VbZdMHI/My0UyLtciktXxjIkjYEyqRjmDFQI7sXLGwC7fLwFOVpTO5ocYU6DdJk5Fthuh/pEultrmyoxdFPcmls3dG2ONyrCw5vlNuzZZT8nYUJ2pX/D70HESZBLwDC0GpOxcY1vZWHZx7TY4uydRkC9/2QKeY8oeDpG0rPa8iSlLUWcJyj3TgU1kZRm3gYIPWi+BULj9hk2JDmq4AFzgwsxfzXGAwDsxAZDp1aHLqTUNRLxNgMMRcP5gicu3HuAW9WjDQ4PX200kqnG/kPloaMDlgy1d0w3sPoDj96ZvOfmGykqROEZ7VzDaG+PgzGX0L66AC/oZ4hA6ZlAo4GMCzfhQEMXH0TCy9iJHEFAitVimYwAhgwewfJC0QpLUKJWuA0X7lUHg5KDOgUnXBLJLUWCIqfdkATd52NxbLPnH3MRw5lS+fNZ0DQlwOGC2x1FwzaTWcaYOdhyYIVYnxOJwQ+URfRYYjCYY9CeefY573GF1FZWd2pX/isgmKt6vJfvzZGUd+8RZTXnfENsZAjvyfipS9lB9s6J0UdC5enfBvkO34guFjP3m243sFEBHaQPpo2SFdLFAnSxQJzoURKEc2JbtjdSyFOu9hvJczEOqsJDRN23nsa5I6KlS3J5Ye5K2TFKOrhfg2crGsgU8xxS9ogxnbqbOScZ9gB4jSKNcKaXD2LP4LsSk1FVtI3fqLNFH8DKbg31zNRibYOpMk99k6uqXjVbyJiZF0UOxyBzYGcPPzO7dp4PJwETuZUn6aGAh13VO0XMGia+5q8Agpm/lG77yiamdNm7S0JyxkMdwKprsH2bZHL3+FDs5tJ2ODIooJWTk7Arui1F7oY8meKoCx9MtFKfYnTl6zeoon0/IJT5DadsEfx4pfPBCKQ+cZ1FiB/1WlqcF6EjZTWqskgpIOuHIyFLVS9sHcF5ZeWlVWdzzR9e3adgbEwnQCfS4c8OT3LVISI0mgYsENfy4J3M/+dtjjmoBgFiCXsvmSLDDbdvsheAWAs1CxKXSiwP31LVKrFfNUCe+XSDgAEYNhQwl5uz91fDDOPj9gH5z54Aakhnk+yitRIgt/LKTrUprY3maVPPkJDRocaGO5q2cjQdAschcwsSYJLX7ANgdRVZuJipuYmwZeBoAPXnR6jC1k7xNP1D3MJv2sBwPdbZ06SXDjUPN9zI/hclogomirFoDG/OFngcPwS7BRmLQgc51M2+ssuXz43/PjUvpccWp9vzVMlkWcbfhIgNy43IOQK9SucEzN3ym57PO/Z1WuwP2N6An8T5w1AdmfecVQ2UhwMazafPs2tx7JUb5h1Re7rn47uI8iaX9XB25hLYxpssYD5M9GbVHcg23WeNZ0tASZlqrOv511pnImOJTPJQY0OGTGA/LQIsAPRnqPizBdkjls8k2vi8m/jP3mVAKaChz38k6cq++plorPC7RNRxTxICe8lmtSukwBOnCZmHzWRpiK0PAlPYZ4/6jHCgyYNbPwePpSLWhLDvZCKWLJVL4yTezpESapbbuqfHUGmJiMs3rPhMC6FLaPBU5zCGWZ2KzCQ5tZvZQ3C0uK0xby3BisgU8G8vTpJonJ7TWjomCy+I7Rw+TQge1skwKMSihlWwOIE+wO5h52apD+Yz8e4bo+8Tr1DSJlnWGyXios2mPd1xI/zF89QKVjaXIeHywj95XueShlBQU0ACPu1dLFUBqhrw2wNjUzYdjz0gWg6+KuUpAeu9QuRQ7jp5NmXegTi31IE9xgjjLQ6CG7Hd4egzu3SVTI/TZdVjQxaM+cOV0bkEMnxCkKpAYtblxxF2X6ytkOBwTHZhtgDFGuIAzuFicxeEjZ4FHdpreU1QnLxhgBxh1sBzlqEdXkQxmjTZbK71ap6SkMxhjfp7qIhHf/Bna3849WO9y4KCtT9JzKtg5nAGlxJ+uDWmRLCkHyMcVeQ5FcJ4Z9SG/flP11MxVRWqwHlNdSiDBv2s4oMjvI/tSrRIg12xPnayQJcAOgX9iKeWjNqrao1wD+EkmAXrPgAfnPUX9j+f26mGGrpoZpgnO07KGYYpW6OUL9LIFhvkEhcoww9hzhJCGznzMkLaLVCbJftJCwKmRu3aBRwuCGXqYX+225tM6mjwR3XeionDtNjzXev4/EdkCnhMUbjgKmMnLpo5gnlohJsD+NoOfiBIbihtC9+D3d7+bTAnAVA5V5NXzMibsd+XuRwOFG0Tcagho2kSEVqxxmwMf0Eg1DnevjZ2vv51KTKor5LUraLuBNFmik6HJNtAKd4HmakqCoVqcz5mfAM7jqj59eOL97Ss61o9KoUjavL78tzY5z+yEUSLDjANz/pGBIjkzw+qlkrgaoFaO/bGqLX4tDnr4c442VQWKUxRTjfpeOlXjOejtvhcU/y3lpFQboetwj6zQPmX7gVZRpna7a99toIz3Cd9rzFftFcolSS2g42kliYilxSXzk/E6C6XMjg9NjyttoFwwBppUqDobuTGU1oWNCsX48evI235p27pCbcctbiMY61cu9EbC+ohZzF7tavtHsrkMyXQZ3r6VGyZbwHNMmWCABP3gPs5MEJ2e5iWqSqEcAas8dcbIJAkAFsWzN5ihm7mAWqFw6Ra8sImQex+EJjup1tCJSju+uoVW7px9Ygajnby0ZeFql4kZVHzjUceshGJmyAnRrcIdk8M9KWgC6kXUYRJ0tQlfURJRfRPGmPW7uCkfo5st0ZF2N9yVvYJjbjgopG/+/BbmPG4AOgV2+kAvW6DuJ7ZMvo0N91eh+Dozz+A7tDIl9/8ayssTRAO1PlafQ+zRGCNMMMTlq/tazSldw8noGuxvmdQzXyLNCwPS/cS1VE6FWnvkJDVmSYUyz7AaBGJVIXA/E5qhrhLMr3ZRJqlOmSHUWYBuLyG1TygGD31nKGwbJtaS3kssWCG/Rqhdh+xmnoyE+o9kKOlbGvX77FFqr1OK/SR2jFCameOOEMdxESf2ZsjiQYWE9+UphpgCuKDOmIS+YYZynXE5f0e8jxDoISaaxhlutybHpNK4pE+g08hcqM9ifGmE1aW+bwIQkqthW88Tl61Ka2N5mlTz5OQQe1AtoZa54SygExNiAGR5iZqlgKirxNojcNUVRQ+Vnhu04uL3kQkmtfgeCsEYH0mFOi+1WoEysxO4kRFtrWuwDvTG1Vak33Yr5OZA7w/WccADhA2QScj4VtbJp6z94IYcGNCxpOoi3T+R1LQirZXCcG+KXj7zY/gQcOGsRgbH/ugb+CvghdlP9j6kDjMBDPMMAKZQ/arhCeUAT2rLK2MY8YmoRoK5saHS3iqpHaS53QF/tha0FgGbLmJaCOzINjFgn5yiHlN79bNjK7bSVqh1rKS9AuUgs7Y95KUIwMv1Bbi8RoBmKGfTHmJCtm28T8l+pET7o9U+BYbkzAfF+eE5tpqeU3Xj+m0BDiVgD/VROdGvA0287/jnkU1hE4ARCOLlkDG0uOcTj43Dw0lQ+6Rxa4SxUXtP9ParC+f1ZYTb+FD75JnSecwuV5faApZY3i5+HNVfgsDavuWweznvW4VZFEwwxBWM8Pj5feB87tS9bYBnHtl+0sLHoGu5xtNAtoDnmFJB4aildYSM2HiuFe2RpRq5f3SwON/7JDRI63s4r4MSme249J2hgMzq6+6vDPhKsMqJthDeYIA/4ZkJTSV+YDMfxvjqElfWpAHW6Pw2FZ18jiFWp1E3M3Fput5frQH+RCVXgpwhKlFCZRWAErUJpmaekgYu5HnFDTZDPSmkllH+d53sQjJyT8ZAmz+fWAwWfzJnNk0GJCyJ9eOGqVIdxxkeq3o6ak2mKO9rfyu/LwAa0OwGruOBoBaj/1VSe16QyPT9/R7SVPvUps2sUx3G4vRwrnUdsOfPI/Q33Yer6Z6M8PuGwU6zbvQMuJpzgqFlA6WhLo1T3CvSGRSbY8jri91yp4JWldU1EhV+TqH+4NR3zXQV9LesN6mwOLij+hLTJVXB/P52bKgznfiWmJ11DM8isn0rN0y2gOeYMsUAuxge6xyFCkpVbrJjWMQZ0TaNEWOxOQCfjtWRSUurFpHMBj++VtpeZZhNQCH/i0XqB0fkgQ5znaBxOJpgqCYelV4Yhod+x7xlQhPApjT/OqNbd31tbLqOQpdB3GQsl8JcpUAKldU6FxhqqH6NXj3DMF9ih89N3HsLcN5dBIIo4egedB4283203260LJkqOoYze3ySpO30znnQwSGmnuG3Lq5jxeaqi9leD5O9ISb1ELNpF4vxEJh2/Bg5gK/mGvjpTVLFDJXFBB5i7Xhwwph4NhI88SgHYZ4arINVDizyHkpj/F8PFHqqCShIeDut4Ww2MpTOrgQ1yMNLHyv7Ym2/aVLm9jSx59ImEpTEVGVtMXhCx3NAwM91Kk/dNiiz+GUcWGPdCWMK6VqkutrHZezjEs7iIs4ahgYAkkENYIlOpMunhqWh6+nYUWE2iTsdyOCNHHSSaOZO3yU175P2O5Dj7kH9jjueEMMzvjQCLhljfkqL0gZ4rleq9K1Ka2N5mlTz5GRR9LBTtFPqAGyiOUl/e8eyASsUiKwt94+Lt6OH2MyoP7iKJxQ7peEFlWUosxTFngY/XO1GLsZpVlp/C0rU51aCejjhMVyovrzeMduJ0PPg0u4R564lVQncjiS00vXPd+9JT2qJ5z0DaJVaoVJUpye4CQvN9pCqKmaETvm3+GcPwClgstdpuLiStHmrcdVdSDXiVtmFmYzmnsEoBxw8bL51vVVDTPaGmO2NrarLBsQ0smvaRZYXtn1IrzgukqlrlJsCEwqxYIeADrfzCQUqpGefA8h3sKr6WAzMvQbwaHuesJPKRQa0nLUg+LkuFpTPIDlj2CcDdEIiVXCxxUMbq+l/s8VJXWsvOgPUqD1OMMRlHOBR3IKLOIMLOGtBD7VXDah1HqwzuIBbMGQARYOhTJVQ+QRJvbLpXSjQpqpqnRKGMTbEUMu2EltAUVsPebnp9+pUe1I4L0d/E/9LI/LM9I/VuO/ywF2CBj1tgOd62SwrbL20NpQt4DmmdLISu1k4R4qcsGNupiSh6K6+kqhuTCQENpRdN7qgcm6FGlhNQ9tR0GDiLET0dxczlFmGOmt6sHD2SSdjXO8qz+vCVXJSPRdjekLgKXR9dx9/AJS2Q/55TTfgEPiR9UhQI6lrn54nJieBBjgV3ODB1T4kBiR1p0sUe3N7/R4DqJzhke+J3l2I4aHzeFZrvcItPCDMnwNf7fagQJ4oNRTKJEOWF57rLY//pJgnIX/uqZ28Klsf/TcHXSmgCu0GDaCualSVsnZt2satNmCr1qqEfMcLk9BgehB41osMpVmE1LlCkWUIgW+yn5OqVF8t5ZbsNSi4ZwHuPeW+qa7r1VGhNho/VhoZ++9zE2BFwIbOkQH+qDa06BpigpnJJQUAlOtKt62S2e1M2aKotqCvhtIRlDPt8QXAZmavE9duZV2kcFACNPNstXlicksuitZMBv20n4TUeBMMTVwfc93BAhjlOs0J4JwSbjTDs5WNZQt4jim34hGoiJcW4LsDc+DBp18ufNB022oXl8Ia5PkeKfI+9Du0kqd98nfIoys0YK5bXYYAgmOodJZi7hXF44dsAkb4dWMiy98Wi0bG5AkDS3/lnNQ6GFpOMXhoF0Vnpt88eCFtoxUY5d+6CnQuA8/Ip0A2bYIi5Yw6y7xj4o00E6+GAM8mcYxIGpQ9Rj5IVMCs37PAg4QHuuTvWQehbIJauqcfB4X9NkA79u7qWqFcpNrbcZE1mR854dDfCwDTHazO97Go+horhVghm77iCPnBFRzsXbbqmQNcZga4c88eTbdzB0UJmFI/1GowP3O6/9tl+d5kEeBX0WXsDkmbepnvl2yILkuFEcZQqE1m8Yt4Ngaexx+3LyImhwyX6XmREfEMPR3UsO/3X2fx5LPSsTGJ2Ehqq1cwsuq2y9hnUeC7QfATUgHGF6POTb5Aih5mOPdVj6I85xvat8nR5AlU97QecjKyVWltLE+Tap6c7ONxJC3WaL73lO9fJXXSAF9ll+zvioGGuaejlhIDMk9GNo3zIwciSTvTpEdgh7w2RiZ018AAIJ4xHIDNtkwZlhtZzkPzQKLp8UrpOCCUi8c9azeg8jLqbxG91kR5pfD63HbWxiAh13JuN0LeW6E4PLyH0WowQTMHl6jTTgbkOZD3l0C2BPrTBgiS755ABPesodVsKGGrtg2aW0aGr4Y1u5Ta1bl9dkmNVDkY1QTmzo2eS2ilTQCOPNCigEcpFH0D2AZzC36Cnl2Uh45sj6ZoxhOS0cTJE/FgB4tzp/HIrUPMbu1pt2yqtwBvAIUSaLYvOi4UP0sCD/26myAoJKEYSxL0cmlnMH0gxsut61bafruPS2hbtPF7SLbVtcdw/KxNxhc6jjwPL2Efj+IWPIzb8BCeg4dxGx49vBmLh047dZPsgzn7UDiF3IUDIdbS1keoau3CTc2glNvXpnKvOjP8j+jeE5Qt4NlYnibVPDnZDbASJNRBSbW0qcQGkZA0VWDXFuNjnUi1WBs7RJKy6UxPiHPreDowq7/e1YVmS2TxOWCoAn/zb1O0nUQnIuxkKyBZAdnSgiBOnZNIkLUxwKKy8PtXcJGZSc2yLhSQvL5sThHGYqcG8gpQ1RJpskSduBTHRabZBYrBoy/rp0GQIRNqMU1x0ORsGLJGwttSuz7Zdu4mfZ8taFNFOsUPHePUbhxckP2MvZdSSPvmWJHHi34XC13m1bQHLHbCXjUc8FBIhhGAA6BjDLCprs4wP22ACM5yFcisrRtneSTD46tf3fbQc6LnADgA456Jz/hKSBFTscfux7dzu6VYP4+dG4uN1HYOveuYVFDWzofKROXKUKC3N8Olfz7G+HCExbSnVaC2EHr10slLz+6sLTs9lU2+rzZmeytf/rIFPMeUFAU6kY6v7WickZyv1Rcqplp57uptkkQ6pex83JtLDrR+OZurwpA7pvybMwScgvbrX1l7Hwrot4/LGGGMfVzC6YsLzW5MoVU8EtBwkMONgiXY8B+Q/60MCIIGQsAKUKvmOTyrcxbYJnuHBCoKbtXYF/vcQ/EnWPpbGjuHbILo+hn7ToBOxupl6tLPFkAfWPSnmPR1qggyQK2ReGyPvp3z/ppYJQR9DCwlj61pz3lK2YkjRd1vMhvU5mQEXAnqneqr8trTsUT53zWUNRSvoFCf9a8rAV+o3HIio2cSUoekjOXSatuZie80tWo+ycw6xsDF3aJnlTG1dRMkufJxUNKm8pX9ln63ARi6V9MOrvIYUCm0qNBJb6WKqjnG8HrG7gPAuxdX705Ze+XeY7O9Lsq9zdKuyDLJZ8e9IkNxiGKs1XWXXVy70fHu+kO+EmQLeI4pCVZrkT1fvYbiP5Bo0HN8hoavQLh3Eg2yEvzY+wUo4xBj445v2sVI7yzJ9FCZuobZIUZnhDFuenwBXARwGcAhHODRF9JCQIDUQzxDcwj0hFqwsIcJ7ucggjyoCLjQvrZBRIKiEKsjAQ5XeYVAD2cc6Jo8wrMEY1wlZo7NK6BOZigz7V3iVtA0rbjppbADuXPD1ZFlzdRNYGeRaaYkAZAkWBrwo5IaKquM8qvw2lMbeAmxkgR82o5v8/K7FqZTPpMSqTfBcZspbrtCfa6HGWboWuBD0XnJ5oeXWaFCac6TAJAWRmEVWMgasAlCaDipE/p2yWmJwaM6u/or715eYL+iRLpY6bxWsg3rB2FAumNXKc1EkfmqVP99ubqQOjldLJs5tNhrzZMloJY4yqcosi9ZAMTfV6x+fLEW83aUTgN8QaC/B9aQmRa1obqRPFnTgmPLVqW1sTxNqvnUS7NDa9JZeq3weDh8gFGo7WpibicpnR6ARxEF3GDre0/pAbQHZcFOSDaZiLhbKX0TmHF5fPxUCFz8Va92es7qwou0airiAA+phxTcxC/30e91si7gF12Pgw9ywiGVFAUWlPckBqZmvwMMkwfkFuw31S2UmFSWsRbffN8GY2lihuPMGNRK4MrBkMupNXEr1z1gnpcNA80sL5DmJVJFcYwcm+Ns2HywTfdpYwtj0hYtWNbXPy9uLNy8BzFTLlpvhtJ6yoXUhNTOyb6DmB2KMCxTbEg1GE3Tm7KxsboBGtioamWBDm3jqtzQtWLbHBMU9kgVJ7T2yyrwfjnI4iAvErvSEwpaSC7ttKCk1sTVfbydh8botnYXc1fnC4c2w/FjM5ZPVraAZ2N5mlTz5KRAitUGjTwxMyixL6GVREg0dOlCR6kDu5YTzuhwg+CR8V3QGWlgB9ZYGelaUn8eY7DiE0hztc29sob1BKcuL11W8do7mArlWiMHC9I+JrSQlyyJBDJAEzBxFRYxPZzZkUBGieOJFeIqMXNNijGyQywOASgSCXakETSdk4syx36LXqyqFdJMB3PTq1gHYPkKuDbAldI8utzWM0wwxAhjzLIeyqzJUIbsGwAXxygEdvQ3P1M1tsek2cZibdRngzjIiIEep17R3xQEj5c7dB+pmuIG3DygpbwvZzZCAfM2YwZS/SZbDpUqpphXVFhKew2rOg0JAXjvvmi4m0sW2B6LiK1XmwobQJIAdbXSSZYVBQ3V0IcnIOa2SA54NttaU9Wly6y94VIvXAPlq+OG9uFHs00e+uUmW8BzTKmhsHsM5M511dQ5+PQRW/FyN2LZqRRcdFPKRuwGUD2IanfYcK6YZhn9ASi0T9LybeoFvoLtYobudKlHoxpNJsPdyLdj4SyPZHu48OvFbGTkoEkMT8L2E6iihKAEcPg5pP6iMmb+b/KislVS2o7IlpOADr8ulZfXI2HbqYwSY0uww8CiDurN4zgVtn1ROySmjoR8AwvmckzAmrNDtm6BF1l71z++HVgMXPj3bVddOe8gqntp6xcrNz+XH7MO1BPT6lS4M/gea74nj+xDPCmwXGTwd0P79PPlKmpFhUFSi5QaQMOeRp+z/rkT23xsCxXlwH5IQiwZ/V0phfQaAQKxRfSbrk2qQqpXvHzrjbNr7421g8b6egEehWu34blOZNSNli3gOUEJDeY83kibZ5O8zjqhOBwKNSbMrXhudM5+lnXf4JImMt/Yeb2hM5/MQkQ3nTtDFwlqdDHTljx7E3T3dBLB/DQ02xGKUCwZGcnWhLyaOLghBqkQ91iI87jtC30TyJFMERcCHRRvZx/AGeCJ/Q4mqhkDhHvwWJbrcWj7pYx9S281ClhIACuD9iLiLBQxVKxsyz4wH+iySENkmYyR2zPwpI3OALTbSDgqpQ0g6L99uxwJ5O3vWnmeYJXINUffPHq5Ym2VgwACbuR6XZo+gojhMZWb805cFdXmCMD7lqsP9ctwLi3e57itDMXrCUUH56q8kKcYgKgtYMzVm7/PJhun1ZIAUKoUxZ4ZH4ydDeBshQBYT0j922eVqJzyPqFxpsw7qJNae05maHhNhjwvKTwDVz9xsEN1JXucmYnjM2e2OdxOyz3z1DI5HMry3+vUsSvDtD/lslVpbSxPk2qenKxaGjjZL7jOZToJZaNepNoAlAdLs5Oujgmxm9RI88KLZAu4gRLwByQaaMcY4QLOMn8C31gScMaI1HVpOuR2B3KAJqmhPNAmV+xc+EDP2Z6sXyLtFw0g1rbqlteVkqJEr5ihd3WFnUNoEEEfChJIxpZ+hZogiquYAKeGkmqwPQBngcVtwMP9W3EBZ3AZB7iMfS8vFo9Uu68uY//MJRycuYwzh4+jcxEa/FxmZdQPw4EdAjmUksKAGjIIleogPqBPG4DHDez8HPLeanpqDW3b5elG7LugpLctqVTco2YGozJ326LTjI1Dz5w+ImZKbzDz3IqlECBvqM0CbuwAvNhC1B8oVlQo07q8FwCr8lgX8JKDnV5gKm2LuXVckUAjxsqGACOgPdTEBRGKuRpWI7qRgtt4xdjkEhlKYirWhHXg53HvMyoLZ3lorJyhh8vYt+OkCyu57y0I+D24h1aj7fLglzGZPNFeka1cd9kCnmOK7mAxCtMZstE0b8HOtOsnY+SSwITNz7HKj7ColI0ZUSdx93VtbOoAUIoCc+OZwwcefQv9t44XkoIM++jTtRODy2nDQU1MFSHBj0JtV6TaIyU1q+SuHcilIWe4bpup4lIU6GVz9LIZRv0x+v2V87g6hMts3ofPotRwkyz9BnyGR7JP+kHaQXnWzy0TQoOpzjOkB84MhY2L4wBgie7eDKevLhwQ46qrkAfZHozLub6nG4SdSoKvSENgh6ZUDlB5cEIO0OnjAXUhuxbwVAz8KNQqbFTcmDBkjJw2wDOAXiQgQ53UKBYpVFJ7KRHkqt5OWLWLIxQKVujygqWo+3P7nijop7u+s4CRItVDMZURBzw9+GXnfVVXv27Uicsmdj6SCarhbJlcm4zbWoXqJsvDQRX1b+crJcvA1XFJo36SfdpkDAiJdL7g9SAm84qJznwZ+7iCkY0iDfjA2IvrVCl/wbrOMfDqzpoDTkik+v3JXuNpIFvAc0w5j3NQGDS2hwa8AhlUUqM3mKFIKtSDpLG6JKHJA/BXzxzsSJsLou3tNbxVW1O9wOPjDDHBBEPchDHmGKNEZrfJlWxoRUV15ffiA5i2++g2V0lwsS34tSUjxFe+ZBTKVQwktPaeoYtJNkR6pkDvzNxzqU1qEUyQAA6pvjgbdBV6EuausQou3g7ZGl0FTl9coD7zGDLoqLShTNJk36ENy7VBee/qwqnLyDCZq9vIKHoPWJwGxv09L1s1v09jgkdm255MOhoyEuYuuAScyfDYqplkmw240oRUTlxq1ECmj0uSGjMAqyQFkk4zGKC9D3vu+RKdwdyyOzwEg7yXywqv83WVINCTuImLgZ4V63tk80TtjxwCCArGbG1CxtcxNSABdRmZml/bV82JZ83qHFswcCDiuX+zNx+yh+LgmSeX5SklpLqKqwFl5G1+r6SueQHZvVyEcH5/qS7idZb52ySzxI+voEx8JMeKUlldv3Wq6FqZqymde63su+cxq3teaonYeA4AR5OrOIruPUHZqrQ2lqdJNU9O/vbi87AzPxXc5+wN9KqXcg6lqsAoG3uDkJRNdO3y2NDqdblI3QTF6dakwq5RB4z6YxMI8DLGuIIDXMYEQ8+dNkR5S0o8Vh9SlWibkJvgZyYyTEgxtKt9AEjzAr3BHCOlPc0OcBlncBEHuGTP5gHdEjaYyedin5+xeZGDJh/sdEaesQ6IyGMEPQHfo4yASGK2X9bfz3h8imf0pzjq/x8UGTxXYB48LRhfhNRjXE2Q6L8Xp4HL/dO4gLO4iDN4FLcwKn4fU8MkybqFDMol00fPjU8uZOdAR2s2hqj7xDAs0KpXaL8daV8jJyEu2gi2RKlSpH3t1h7NjwWAouOSijfLS3SzmQXtXMUkwXlqbXcqzWqZRUNdKa1G4zm4DKiqK21LBKVVkV3jAbmPyzjApWAuLVm/mHCGh0uI5dTsS+KdG/M8W2fPFAICXJ1MAERVtbW9ocUD8b5zdHEFI8saUiZ1XiceGmOIqQH2GUa4Ah5Og0c4r1RcpTqzwSwcIymBIs/bxT3jqI7+M6isao0A2QhjnMVFy3zyvsQXrA0bHtXDTGnPRdn/pKy6Uzwc3buVGyFbwHNMOVqkOOqE/RdWZoAG4OVloc4asqsBaEIu2bDkv5bWwdSAHWsTUSVaVdBYLXewyjuYAdY2iDIbUz4lzp74wc9oIHCDh9sXV7dRADYeEfUS9nX490s3AVOT/ToBFkkfi9ES5UGKuu/iFzmGJEONeQMIypW1jILKKXmqV4oScxb4TaFGtleiX6wcyAlVixsK1/Dcy3cWOveVjugs3Hi5ITbYb2KLhPExTL6sGRvKuVHx1FDy3C1WToJkiO7bT1RR1mAjSZrrVctGMpVPm/E7WTfVSi8IsEiBvNDAN6l1ZnQj3J4tzdrj1XAVrPbKCYCJpG5zsIZSzltK9lluyxOv11Mj0s0/BHZkv3THxcGOH7BwpZPEZol9h4ADxi54QWpVo3QPzvSWKE27nIPi1gBg4GrlpUQh12/yENTXd22eszwKNXqmPFRGrTJfn5acA0W94HHXpf7CAQ85hIRUfjHGu/nerlO69K2X1sZyQwHPe97zHvzX//pf8Td/8zfodrt4yUtegp/7uZ/D85//fHvM61//enzoQx/yzrvjjjvwwAMP2L+LosDdd9+N3/md38F8Pse3fuu34ld/9Vdx66232mOuXLmCN7/5zfjoRz8KAHjVq16Fe+65B6PR6Fhlvu2Z/4DdU02VVpvQoNsWpEof52j1mEcJwFbnKgVyoJp2jX654ydJ5GoCoxpYTfs4XKSoD5RlFvgKkVbIIVAjB9bQypIGBBqwyBVaD1Yz3IQxkr0as8Ecs2nXBrTL8gLdvlP9UFwhWsGlgdU83ZfbA5B04YI8ysmIAr7RJFkiwyzrQZ2eag1TDuAU/Pg4JKHYN/SMr2KzHrXumApIF0uM+mNzuB6kRxjjFjzqGVmGVphtA7Kj9Mnmqsk2KmiA0c1mKOsMpbDhCSVW5J5NfHKh8vBVM9l1lSqF6tcoixRJUluWMiRlkVqvHPICDLUHXn8OdtO81BN6XjQMsIk94pZPks1x12om3ZTqI76tTTadOAEE67sO7GwiLmChYyb5wkHGdubqaaozfadILZDQx5LXWmoZwJAXFwdGsl7+Nt8ln3uqArB2jH7OLdfmpFE/jVHSS0u2VepnUo23LuTHzobv4Jplq9LaWG5oNT/96U/jh3/4h/Gv/tW/QlVV+PEf/3G87GUvw1/91V+h33c8/8tf/nJ84AMfsH+nqT8Av+Utb8HHPvYxfOQjH8H+/j7e9ra34ZWvfCUefPBBKGPY+JrXvAaPPPII7rvvPgDAm970Jrz2ta/Fxz72sWOV+Xn4WyQmmaAUmXqBOlEsWzWJW6251AxSP62PcxMIdd5KKZSJUWNNAYzZhxtIk/HnCMCig2l1AHWrsasQA2nWOqg31SN8P5WPdP9kq0Oh9BW0u3qpMhR77j2SGzupmgj4DAzgoTxDfPUphcAPTeZgqzYuPIe9fpZdfW5foZfP0D219NVPJCFXeZ49PTa+kVGhjO/DByoqplGz5FcBVU2RDQoM1QT7uOzR7zI2Drff4YM4z5wuDcw1GHTu1xTDiUj8Apl2S+77QL1poCrduJsTMO8LlNNrTtNjVqFMMqhKoa7CD7EIGE6HwFHMDo5Uy0nWBEk0SXLAQ2ozv10n9lnr1+cDfqd2KYN9hIu0p1Lsvch76Ou3szl0jPy7rc/UiTLqLM64NG0R/dQjzhZP38OBgBKlxwSl5tven3XF0ruez8BSuXWk66ZKXffzJpNbooSONa+fDzfO99NEdK0ajcapkH0b97oNqa/Wg8rrBHi2srHcUMBD4IPkAx/4AM6cOYMHH3wQ/+bf/Bu7PcsynDt3LniNw8NDvP/978dv/uZv4tu+7dsAAB/+8Idx22234U/+5E9w11134a//+q9x33334YEHHsAdd9wBAPj1X/913HnnnfjiF7/oMUrrpC1bOolPjZJRbQ91razdAhdu70MTsQ4WlzQGPLoudWo7kCW1NgDdRCoA1Y42uMv8FThfFZNwdYG7P6eyq4YtjXTR5XWgFRi/LneZz8zwmtnhprTncaPEZrWUBT107XXviga6uQGxtVKo9mbBRInWDoe7uXPVYSzIof8Q3HYJgOC2HSXw0gRQrip6bhkKT61XQ4FSIdAxeh9/L7Wtr3v2qVXTuOnRtYOQqsa9R8eUheI58TJkKFAgawB4OrdWddQAlPcXAjn82JX5vZvoa6ikRl0lUEmFLDdtTfmAvK1dyP7AP22SiGceYs+4hFyo6XsTtXFI5SLrwX+75ZhCqcx1lX88X5zx9kY2MCVcmAySjEEizk5Ld/d1jIgfzqKpOuRgTy6wOPum4OKEcbaGPBsJ2pPdWizUhoxQzfvGl5VsvbQ2li8rIuvw8BAAcPr0aW/7pz71KZw5cwaj0Qjf9E3fhHe/+904c+YMAODBBx/EcrnEy172Mnv8Lbfcgttvvx33338/7rrrLnzmM5/B3t6eBTsA8A3f8A3Y29vD/fffHwQ8RVGgKByl/cQTOqbCIfaQhIJRAB64GdcjTMZDLC+d8lkXrm7icUZG7HOwwN7BGMOM6HXfkJhPMClKDPoTwFwaSc6YHPhuvvY+R8gPrmDUH9vc2KQ2kpQwiRwM3PZmE+KDAq2MiLGiAV2uZLmXh58uQ6u3bsLYqhm4HYUsFx+s5UDGzyE6OyqkFzfkBs8PZst29RD5Rbi4PzzRKT3zUADBPrA81UywSMLdckNhAGAv7+xN+D5p/0SrdHk+Z1xm6BmGrWeyaZWO5YGL5q0fjc80hIAOn5D06t9F/qZa6fAFFTxPw8QHPgR2pDt5yDCfoOnKsDxLAAtjS7fLDKylkDqVDPdHGHtMRWH6dM/EqeL18p9B2HC7DbDIv+PHNh0HpMh2zts/Z/iOEwQVgFUvh46jsnCGj8cSSuDUxj4Ac++NxoUMBQaYQDI3sk78fGptc6M+D12f2u+MMYvc+4yeDz/XASU/ElMsmWxI6qfUsovJ1oZnY/myATxHR0d461vfin/9r/81br/9drv9Fa94Bb7v+74Pz3rWs/AP//AP+Imf+Al8y7d8Cx588EFkWYbz588jTVPcdNNN3vXOnj2L8+fPAwDOnz9vARKXM2fO2GOkvOc978G73vWuxvYpBgi5pdMqYoIhJocDLM6fBh4BcB7u+5L5kKqJQMgAwDnzuRXArTkObz2H+tkKqh9e8Tja14Cyvh7MZzkLcLgQAQ7zI+wOZhiOJhhmE2YjM7fdOexS7MCJjBrNAcc60YPgPLhPoba+EANMcJN1xHbgh9QM3EiRU9sFMstyaFVa6h0n3xXPskxqIDKU5HYKAFwAQVzGWVzAzXgUt/QfxW2nz2vW5xB+hGddKQ106NbGNujq/i4mmVOg8ICA7nn43jb8OfFvvp2MyrVar/QGZQn8OEDkFD8ZsFOUbGk4Svei+3NPKc44SBfr1N43AV8re3VIwixPA+wYzz4vgKcnHbqx/W3BUODoZQJMB0vkowlmez1P1UKTNbWNsMdUU8XHVSv0zPzn1wSIm9gA+dfxGRQql/TAIyNgrs6hyZ8H26Pycw8o+eGAxr4fNj7wv+X4UAYAgGsHGmC31V0CEFmPkDt7CPTJ7OqhvsH7h7y+DK0Rk9X1Si2xteHZWL5sqvkjP/Ij+F//63/hT//0T73t3//9329/33777Xjxi1+MZz3rWfj4xz+O7/me74le7+joCDs7LvAT/x07hsvb3/52vPWtb7V/P/HEE7jtttswxRC7LYBnfrWLxXio6ZZYXBH6DTjAQ/FGbOyRI+P94q+Y5USYogR53qRZaSeGJQAkyndNzwukeYE0K+3AxadEXpeQSoRknZoodmzMLZeOS72hxamyXHh/f1KowFkHZ4BLXjpt5fQNUhNQvikd5l8Dp5qdT+Wh4a8BDDd5JMbOJ12soDIfsK6b4GIAyF1aGTChoY8ckH01lr5uOOSBUzS5VAkB+xlzJ0qjQBMgbzv83n5LdkyDtRwyQQmlXY4HdIBATKDAQ6ta9oUkP/JiC5HnUIHU2Hf5LAbQtKkpTX+i3uQ8f5rtP7FPqQ6+/xio3UTaGAcl3oSui1adU/loO3FbNh+eWWzYkAC16z9khEy2czwoJtAERPQMaJ/PHPqGylzkNfl4UIL6gM+8hBhour9+/qXtL3S86ycpatSN63Mg1HaP1ZN4f1t5auXLAvD86I/+KD760Y/if/7P/+l5VoXk5ptvxrOe9Sz87d/+LQDg3LlzKMsSV65c8Vieixcv4iUveYk95sKFC41rfelLX8LZs2eD98myDFnWRPAPP/DPgH44Do8HcEidNIBmbc6hCYAA35h4BODAqJv2tBqHPEYknU4DC00ZPcz1KrTfQ93X4ItyFAHwYqW4zM76unI1HhK+ElvH5sQG75ghJ59QeOAyYp9IuSBZAVrNEljiqhPJcHBpBt/zB0jJaOiyuTQRNjP91UN0HgdsyhxSX9Fvd0OXpqIAOofAMy5O8Yx8qpOOJs15vE3qQK+tE6ce82OHuFQXsq4ELXkcFApuOMbIGsZLdYQEn6F8U7KtkkqBs0mTYojJeKijLlOIglD/aHyOdJye3IWB4MLVVtyIObSf/papMbTrdYIxRpa9keBdqg5535KZ0HVV3LMh4EAgmy88QnGMgPaYXM3tzgEC0O3XJRtOGm2Bl6/HwA3vhykK9K4uoCoPH6JSS9SJDqVA0a/5fcIMo2MI9fP0mTIJfqiuZJhMzyPEGoUcQ/S9SlB88XXPlBs5U1+okeh2Ww8xm3axmPYc2xiS65VaYsvwbCw3tJpHR0f40R/9UfzBH/wBPvWpT+E5z3nO2nMuX76Mhx9+GDfffDMA4EUvehE6nQ4++clP4tWvfjUA4LHHHsMXvvAFvPe97wUA3HnnnTg8PMSf/dmf4eu//usBAJ/97GdxeHhoQdHG8jk4lkYKt8nhn5H42zNS1TmC8sEMWV5imE28QUYGWSNxA1ppgQ+5+9pVuQJqxd09mxFR+WCrrxtuEnzAj2WBlsfTPeUk2BYzROb7okkkNADqR+5AD+C7o9NzAsKry1iZw3WnZ6dzd/UPVy5KM9nthAyQSXiC00M4g2UAOwnLqu5XjgrgbevI/QCQrdDPF1ieWqA3mGGiHOPCn0Uzl1ZmbVT4AO+SiPqB5nRxmtF7edwfyVAQm+Pd4/IIy/EQGO+4UArEivL6yb40MNuT2qZfASTIMfcPRH6OtSNdTldHHgeGJBTPyV9AzLwFisyLxdtRiRRDTOx2zryFjL7lcU0QH1+okKponUgQy9mcdLFEVuh4UyAvRf0g0FFAJwFUtcR8ABvokcoZcmKgOlasbnwMCDkN1MkukDmmZR4F14n3zHjd6N5yn3yWM/RAtoKUrofa8PjSCKtx33nCxuR6pZbYAp6N5YZW84d/+Ifx27/92/jv//2/YzgcWnuavb09dLtdTKdTvPOd78T3fu/34uabb8ZDDz2Ed7zjHTg4OMB3f/d322Pf8IY34G1vexv29/dx+vRp3H333fjar/1a67X1NV/zNXj5y1+ON77xjXjf+94HQLulv/KVrzyWhxYAnSG7G9knV6IS5NA3D+CWVNg14fZ1bJPa2tL4muayMQByzxdnCuw6NR9g+MCfeANEAs3aJOBqIOkWGxp0SWLB7CTT027Y6k+iNIFy9REvuywHH+hCq8p1rNQmcVBoYiuzFPX+BMNkqVNW8E8N/Y7JKF0Xli4Sd0/fVGTwQn5dtvKm+tAqWKaZAGD/5vYqurj0HkrGfMl32QQT+riwmky2xSwvsMxTYMBWD/Tc+N/yA2jbnUWGJXxvrXCkc/IYcgbFMdAjjXhD4EJGGKb+Sm02VHcu0u4mxCbGzuXliZU1Jm1gPiZkYl4p7flWYGUJzB32+I4SoDDBMgvlYtdwF/YY66LVrgW0ZxVTwaoaSlUeM0fRmeUz42MDvYNQf5ZjVOyZkQ0X7yve/SiA5Tqg8TQBEf+U5Ia+knvvvRcA8M3f/M3e9g984AN4/etfD6UUPv/5z+M3fuM3MB6PcfPNN+OlL30pfvd3fxfD4dAe/0u/9EtIkgSvfvWrbeDBD37wgzYGDwD81m/9Ft785jdbb65XvepV+JVf+ZVjl3nn265iZ7iZ/mHF9RQxnQWLF8Jz+AyskiGcTkEaJaYorb2B/vbvF2M1AF/VQZpxB678JtJmh+OOccBFq6Q0eJGMFZ8gOPvDDUC5ukqu1HnZuXHhOgNkPmhKI0RJ+ZO4GEE67cW+uoyzpy/gzOmLOHh8ip3L0NnPr6I5aesCO5WXBD7hl6JFgim+jd/DMEw7FWyKAMfW3GRoeV89JeOMUMwUCnJIapC2STlc9Dhg0O+0QtbX3oU1dFJRmZGdu597SRvJ4H+xA1Q5Vuw5rAAgB5aGCdodXcXoYIxM+fF1QulTJHjm5Y6znpWpk1PDxNJdkNCkToDStUMWrwY+CxpSt4bixoTL6DMc64yiXV1N8mO6elZBZTXQbxqkU72oHjKfmywvr5/H6qDp8QflL274dQv7LCuj8neqbL9O/gKIrsGfJa87ZySb+fEMWB8sAOR6EdsefeApl6Nd4OgYKvHYNZ4OcsNVWm3S7Xbxx3/8x2uvk+c57rnnHtxzzz3RY06fPo0Pf/jDxy6jlOed+VuoSKTlYKcysXe8jLtsYN81iQvJQJnWFtzGhgdBIy8c5+bbpHOJ8ZEiBzkZZ4VYnjaRg0ko0D4f+B0bVVoDSA589PG+Qa6CHNabQCdULgI7Ewy8/DdykudeG3Qcj8Qqg0QSWNNeWpdwFhdxCx619gPqdIXT1cJ5Z3GaWzI6EvRINZgupK82APtNwQ75NmKVPBtqCv7YM4EH9JQ/N/RkaBKlAT8UJynE6rXZQtG1ubijlFFbmmNNOg25KrfeOJS1fdrV0cQX8ANrEgAkFnWk/17lGkiR7RrZX2lvo3Y7mZDLdpOtCduihbynQueEWrmMVxNickLhF/ix7l7hRK7E5Sr2zUWXpX2h0zzeBxLSk1O2DQ68tKMAxdBZzx7K69J1KG4Xf0/8WA7sJTiTz5EH7pRG2MqoU5c891tI1sxvJyV1ErbrO+41ng7yNKnmyYlcvcl93EMmQ4FCZTpnEOCFzqcAaRQcLVUucJf/3RwEgGbuHm7wqOOnNN0t+TWkzUUsqrO8B0nIVZpE2jbwiaZtlc0nDK7D50aSO2LcXWawBpMz5YxipbuqnIilyy43qOUDIa8TlX8flzAycYH0O0+wzIDOHnSP6sNXabmHRgXQ0rYyjLE5gAYIZDNE11X6s8wQHMS5xA3T/WBy3HtFF4mv0FVj/7rrh2FseMImg3udmTozoRY6rr5WPYxmrKmB/uzmpU2BEWNceHklgNskVo0EOeSBxff5Eo7NwkG47Bf8/qHnx+vAJWRnxbdTLWU5+DOga2+qHub7Evjq803s6Nx9/QCa8tpN8FmBFoP+mNJsp81Fm2PdAL2ecJGvE7aQGuo8gOMhMO64mGoxuV42PFvZWLaA55iiM/KG+T8+cNJKg9Io1P3wwE6ggwwefVXWPAgOyP2T0jXEVtsnJRx0hdJeyIGTtPhekD4KIPj4AjsUqE/mquKMRUyVw7+NAW8nAXK1xKnkEEgO2xkUzrL0gUUfmPVzw35QuHkHlGLPwBl16tXp5b09pHuFTZIIwANsXoTmAnqwrOFnZG8+eN/ORwXqQ/v6+jMfdEAJR50NRRZsE84exTEv3Asv5sHC37pMn0KimYrKO8dTORZpk7UJgTteR/oOGf/TPuMEMBhN0O3PTebuiWVIOUPC2UnJnPCYLSEvI/fcfNVMLC6RLp7PaszRwxgjZl3l96nmsw/bR4WErsE9rgAwVrWpfqvNE+JJQvlCgNpUSD3Fs9jz1BxtThdtcW64yomzUHLxx1VgvG5cXE4vzdiQ+t+5ebjEzfx8qu8EQ1zAWXzp/9wMPNRxcdXGCHsWklyn3KFbhmdzeZpU8+SkLbUEDag8+JcSf9dmUuHnEBtC3T4DRSfxY774MSqOrzh+Mqs3PsA0h6SmCyl3beUBBPevPo78cQAXADwBPzIxl5CtCgdCgD/A8BasxLZQ6ybg0IdWwe8B+akFTg8WwClgaUADGV+uM2bWxdGD5QxdWwYFbX+QZcYr7upCO/eRSkoCIFknAjY5msBH2v8YALfow5Sbq+Tk9OtPVlwkuxfiIvh1COBww3k6Jnyeju1TFqlzRycvrZB6ChCxqdi23LimJ7UXRdkyppmeeKk/8f4SUt1KeyZp5M292/jzkixpDSWAS9MeTjMR+n66/6cNj6NN+3ebxyEF6KwN+NSG1bTfMcJ0T85q0ruaoWs99mhRIJOH6vxrMwyRWnVhigIDocKm+jmwrOtN9yMD+5BqmepKZeYpZ3hLD3uzVh4Yl++R7s9VibTYoX49ORwAlwzYeQgukOwUccBznWx7KrWDSl0bm1SpIwDXRwV3I2ULeI4pn/vrbwIGkTg8gFtlssGYBmJKaEhC8T/ciqZpwVIY1ZhMZBiK7UHbQ3p7LSUbHmRcjKahH78GeY1x+5s211vupjsqxsiJ1bkKN8HFEnTSt2R85DHyN7XmtpUVAYWr0KCHyjMAcBno9IFOfwkkS3hjZOLi5fCUEDw/D3+29B7m0N5ddT8BMEVO9SK1VKx8xNrkcKkpcuCo78pA2a0p8JsfMbkHove7LIItn0C4bQNN+C7xqM9wSFln4yInYg6ekqyGOqhRDmaYDXpYkboqxPCEntECOm6P5vdYSgkdNXmRa4Pl+aCLQV/HnrmJAT3JGnCw7yZN3wCWLxAS+GwDT6DKmRrZZ0nWGf7HFlTHEdfDK28hxe3oZN+lEBcclJTI0MMc3K6H71eo7fUTe1TdqBOFjgiBYQ4cCfjIhSN/btxzlAyKCTzy40ikjZHzSky86/HzSjO+3YQx5uih3Mvw6LMTLHHKRca/hPUMz59s8ra2cr1kC3iOK69F2LOGVt0DAKMd4KADHHSwOgBWB8DyANqYcgDfPd0Ao3wwQ28wwlBNPPUWp4qBpjcTDVo0iPH4IJIal6tzroaoETdQVahsbKAhpkZNMG3Y41D5FCpkRYne1RV2KO4MfdNvYjf4YBEDPrF9ENtCdi8xUCENiDP2m1gVOhZ6304f6AyAzukV+vsLLE4vcLl/2jyJoV2ZOuNfp/oaYoKyn2KUjNHHSpe1hs/ucFuUPoA9/TnaA66czs3TH9oszzLomgSztLrVZ00b4ITUFleM0nGGHi7iDMYY4RIOMK5HLsAaGdobEJ/mhWVSiKGUzB9Jyu5py6kU6n6Cuu/bprjyJXZCm1/tYjbtudgn9OHMEH+vI2A16GN60Mf03AHGB1cw2Ruayatr+5VcQNBT07ZZTZWJPs63OeMgh4JkUvwozrLwegHwVEPck8n1xzCzGAuiKYUripxiSk/gA4rxVcyQLlYulIEB0rNsHrAfJFBSCK8lrjrTdSeg54e/UF6d3MLAV0/RuyCTAMlI8jZEz3CMkXf9TVzSm++x9I6lelGdRhjjlv1HcWl/H5MXDTG9OtRtcpHGDZcnR8DPh3edpNRJgjq5NoanTo6A65UK4wbKFvAcV/42Fj0zgQ7QswMcwOXFom9O1w/M4dgBkg6Qd5zt2wAeoCL9smRxaDVEnZyvRh1d3aTyXdRdIvbDqy59jEv0SB+TCMBO4kNM0KtnSBdLmJAnSGoToIxyS3HQI1U5QBzA6ELEj5HHSbufTUAP956SfwPuXeTQAOS02ZYD6hQ3dHQRjp2rbmrZldSsnossRS9faCAINHsgv79hdyZ7Hc/FnLzQQrYUfhX91XaT6tcRa2foIYFjGq9ghHE9wuPn94FLuU/bJx2sEmAx6GMxWKIzmGM4mviqvIgtRYy5iKnACqTooYcr/RGqSmGR9Jxr+hThZLy5+XtE5d3BIhlinpdGvVh6xru8XFx17Cu1mjYo8jgbiZgluOU5pzgr0qY+S0DpOuJsSKy/yuOkUpNHyCGw02GAu5MAwAp1UqBUKXqYoUSKzNipkU2YZF0Sdn1qgyG1ErFjIUDiyksMWgGnZvLtyrhHm3SBj9lJctabg9CQGpED9Jrdj/4aYoJJf4iy76vcpKyemODi2jd17VIrhfoaVVq12gKerYTkX58CkoBKi09So/+Pvb8PkySr6sTxT9aNjIh8q8yuaqp7GoYZXF4WGNZVWBH1i4IKCCwKruDDioAj6gKCwuizLM8KrIDIALoLC6IiL76A67P6E+QRwcWXRV7EcQURBVRgBnu6m67uqs6szIzMiKzfH/eee889cSOyqrqmp2Hq9FOdmRE3Im7cuHHv557zOeeIP67d4RoeLqMU01GKKXQ4l1pJ51hJZ+gNhhgkhiOD8zo+DDa9ZJs0kABhDo9WefuAKbR6I04OcY34gEaByXhqxigF7CvIeTM7cETdKg+HEAdHBfZzYMNBFH3S9714RdF+7vbNr5ex/UaaANaxDfRh20mufvnqeoAt9LYN2NlBGJxx4DYF0AFaozmy/sQM7qQ9mjFGBh1azdGi7Vxo+qO6UswdhRw9NcTg7lsY372FWZGUknrKaMaATscwQ4ItDAJgx5kjZKwVrkHwj2Hn6AOjqMAo7elghQP40ZkJ8JCWtQvz/s3RPb6FVkJRxf13gYuLQxVhGWjj9SfgJE1dElD5IMDXKtD9F4i8dzEky0xeXGvCOTQUq0ahMObQBXYj957umiZReYFYzTyw3sUQ6wbUh7w/nUaL645dAFHZTpzUzunj1Ka8V5BwsKPPndgF4V5SyZBwwnqonTkgJe8sSrxKqViI41SlYQOAxRWaXhdQKHB5gGdxF+DvAEeAZ//yMuiJu0q4dsBqDpzpCoCX/8fyF7ag/87Dz6y+hXLY/bSJxfEmtk92sH39SXzx3gDuDaz963/Bteo2nMJpbOAsjlnXad9ThE8wkV2Zud8kfDKS/hrEc7BDe1RYTonKdbI9lTiX8sYq/MlcghCpXUl8l3MKpgcEAFk21uazkOmMm8/Arsk9pDhQ4ttl3TrQkban7tzNEXByfRvra9sY9lM7zFNbU2j+1miO5o47zv6FvJMUnLlrR4fu70UjoEP5xnxgRZ88BorjKrjs0CHeFk0OlL6jhyE2cI7xypRZQToAJbNV02Qw2ulpF/JRS6v5czYIG5De7o7R6kw8INhmJiA+mXPtSQtjTDptjDttjO/etslGZ9PExbZinLkkzRCbcA9c60IxaELCgQ4XX1MiuXOSGp4HtpeRdoIMxGtxaWFcIk8JKKgeElTJOvn19l3SnbnRgL5I/7H4rPp3vrDPp4i2bH6sZS76+xUNfFwsIAJCocUX4AMe+uNeglXOF1wDROUdVy0ch4e/R35uupaDcoUZjyqCyu5m4RAER3LnyRHg2ack97mAxur+6PcyAzSXRVQAMIRNUtMT6PkSHOjZAgM80Foj2mY0SxcG6+jd3cW64ep0+iTaKu3jA3eZAF3eLmOakOSqYhKJgCJfQCmUY+kECMcc5JCnFI+LI9XpCWYYJy20kwl6yUiTo6UQYLGVggNAUzgNDtVJmse4yWsHmuvThQMtqTYH9DDFpFsgVvpkFEsoni402OHeWRL4lRrUL6NyICm0qYFU8lzDQ21C5hC33VfLyxWwT9x0q3RujuOrWB6/iMCDXgm3kOdKg51R0+dnRQCmTSy6ESirk+rkJX5LCByQ2ZVrARQKzJIYcZKg6E6C2qdYuYnegSlJZiUibWTBwmFN5nUSen+0JkTXhms/SELasKqwEGVQVA7gCUDnpgLANbO2jiaHlcoXiJmpQwWGPnJppvNJMr0tJ0AcX7iU4+e4mDp+OenxCgZUwnGjXJBWrvUkk5gPeqiedA0OcPz3KLL9rhLw7Ccj8GWI9hK9TC+tIw3PkYSkKCI06qJryvJ77fQEYiL2/R5wsR48DQ+cyv6k+esCyBW2sgFUotNLnMUJu8IDJMnSeVlxjw2ahELHjNFCgp6NayK9tOygq8xgo8wgl/jahFBME5Kq1SxAwe55WT0s8VXrbgo0eADAkFmLm8CkxoVi5IRcxYnUXJgyypQxHl/NFGgmxsML7HgJorj2SJKjJafIHB8VWnPWUi4RpAQ2UrvgUo207cQRIgbzAZ54EL5ZoewdWEDHmCKX/BzKmp3GadulgwCsdrOZzqCi3AbiLBBZ8wCPtMvvSU7XPFZKgkwDbUVuxVL74gOB0OQbAh/8qlSvDBSM0YGkkOaGzjszsLFKwxMyhVCdQ3oBOo9MuyJbSIp753TJseFtFabdAHjeiPw6pcSh9N6I22kCZlGxMH12YTwa50aL5AMhWzflnqvzyOKgouzppU1+KPXTOpIzmb8mgfahsmXTrzNXkRlriB6GWc+PH1W39h3VZFI/RNFtdXm5IYoA6P1qlCPAs0/JpzHQPERVZa60yWsAIG3oT0lyliYPwOcM0V8eYfvMOoZpDyq61rrCA7D5ukjFT1ogIh7zDM98JcgBD5kghuh53lnSk4VPnmT6IK1AKLAYvw53Z6d6uUBm0gWerWqLAkW0ggxGm2TMjg3ZdpzzM4KOCUSfZAYjrhE/lpOac1M+M9tOw8WICfGO+LHytzSB0mfCykOTwGO1ADADEp9zpW9LgYKoxWyypU+u9ufH8CnTRgcXZgIqq2/JNyfa9jfAs92ZYNxpeep+LxQDy6RNRFje1/Yq9eCgrO3w77fML/L7YnkWk148upxY8cNpDOoSlcr3S2pt5H3SJ+fEcEAiI5LnChZoZAlxThQzy/ihB/g7SF5m9P711BAqGqKxs/AdDwLaWRgyPyKgocwCQAGI9GS6G7lJVa8D5149ywDcN6VRwFXAmQRDoB2sHO3jXCIppE2iY0hzSqFCMpi8dDsDjM4PdDyeLSyPtLy3JPVHcgXlCPBcSalMIJprzkO6q3kPZEYBqj2NSjwht2sxjbGICswRe3yhOM1QpMqPL2NPTwNDXBqQE8QoMGGX9g0l/sTrVkWOuujAjq8i9gdbqfImjxqpzA+K0ivGKCochyhfAImvho8KA4KovTgAotg49KcQBjCu0dyzKirK8OcTigAtnl1pe6jMHkVPtLGd0KuC1Olb4bmV/PLctEDPnKb/CAWkRiXBzGldVBlc8GtyWab1K3/fu2lZgsPw+ZQ1Cep+7bRKlM2btDt0fU0edy9UgsyARQ16QtfjcZqW3SP9ruIGkcnU9msATQN8Miz0+6D4QoT/+XGWEswCZQLPpGoBRvsCfXU3sI3AjtT8eGX20fHr+nfIBMihKr8O9W/Zv3LKnVW3EPUO2HPVL0sOR8Nz10iDcQR49imd/giN1XDnkNmeyZy1kECnziQW7e79qUTmjWJkTQBQZnsUiYHT/J4VCQql7dPS3q+/+x41NoAgtrCOTazjvI2gTNIygIh7mpC5qW1MHzJyatVgRtefIcYm1rFlfYxDk4GL4REjQ6I0UTXBDHESzrKuwOIEmZQMNu4NJxNziokEnpLnE1D1W5BDnJ8IwKr5Tp88/o+RqgCHMu2BrkaZhMxju4RImVL4apiTkjmU4eVC5+STCHFuuCYlxK0AoJPr0vc9eIJJnlmVUN0n4LyNCEURbgPbZ5g2syo1Qkjrwl3ROQmb85ToXXPvRuad20VBrgY/kusCOA4Nf5t4U9J7CAztuxJKmcEBK2lUFbQzwrSz0EpMCs8gNTwGxO+mQJY4Dp7rrxXPX/S9kIbmIFIHhvcClKllEuMkMEMM9IEt8hQcpL6HYEh2KrYfshwBnr3LEeDZp6SdCVY61c3mkh4WXrJQC3oI7JAHS8TIYgzAAPBC5oeEAxvFTVeqbPKxmpcsttnbdULGBJg2nBu0NON0ARyfYu3kJk6os7gGp3EKPcxwGk4Lk4E0A/y6CRvsy5OFJJC6QHOUv2Zs/XOch4Tk/0hzGzfXSTMdXV+hQJxkSJIZ2v0xep255v1Q1GWptue8G+n+TttCgRSJR9SHi5jcBbABYA3YWV/BOKH78gd7Dj44cAnlMgpNCnxbXaRk2f78kwfEk3VzoMc/DzfhcK0dfbdglyUHlUl1AXjgnfp3nIQ9qPjKnk/i5Ekzm8bIc6U9uihQHPcgM16UK+ksGFBRutKTyOjKMvddKGghtQ8PUqg1q45YTZo0/q5UaS+cZ+QiqEBWueH7KMd3C4FZqh9/hvQ7UwnyjsIsLaz5zK+D1tKQkwH3gAqZr0v3ILZXAXOgTMjm9eX7Q8fxY+q0Qfqc+v6Jp2av0ynQ6kyslyBf2ErZHe7cRajAXzlyBHj2KYtCYbdilchZ+zSIz6exXm7RICtXAxb4AMibHgBaQIMeOQlw4VocAjuhl9/GvqABMsox5wyIKjVtDmCq47Bwrwt/5R95nxLM8IGe6lJeuRbWDMB5HaRi5y7WNByHXOh14La4dE2abvlxEQqdzT6Zu5QPHOwR0LHt4FU4LHw7mbqkdijk6bLHV1HBefG49q72MKrSrFB5biThExSZIEPaIV/T5MCPu+1iT3WrE8n9ATRIgipPVlVEbP98BxvquAcXvxaZcskgosty+nC1+zuBmirZmwbLvItKgxrS8qi87DUlvaWWnVufX5cn4jsARKrQJtek/Fw5iConXj0Y0CmDaf/9JWBIIp0c+Hn2cs+ha1cBehWpkgZdym5UXBGr1pGGZ+9yBHj2KRc/e6o+lxaf1EJaEwkoSlwcE305AhCZPEFmn7euioC5iW2iogLt7hhK+cTGkhsqDGhREWZJjLy/5a2AabVC2ihKIdDr63QSx7GJAS56qS6IeCrNY/TJTR0xHBiSgxXsvtgNKka9PkPikUb1ihj2GnJCmiHxBkUi7tI1qF3GaKGNCWadGK3O2Jm5ZEJPAi3cq0uxfQXKGiH+fCnidAJg0+3qZAt0OiPMkxFmqRuwaNVOJgGp7QmZpzytBgMuQFw6ltqJJiXSoOlkJi5rvCS3+tcrc2J4ndxz9oEPK+C+RoXViJLW0jYfm1QI+GeKgiVWTye8vrF5R/g5pMTpzHt/ysHzXD+m++EmICob0u6UzKmM4cY9DWUuLr+5/PfY1BpAjFmSeCBEluOgltom9PwAZ66kZy8/Q84Gsh2k92cPQ2/xwZ+RD7r9ODqSXM7bQY4toUWV1Ezy9skZwB+zhKh0/XKc7ZhdJSppJu9M0Xd9BHj2Inf+0/pKk1sB49kZlhC4WUZyCxFU08A2WT7VsU3QHeuBPCnzCkIDpefdoBTyTnmwAYg47Ly6KJeWH7GWT8Y+oZQGIgdOfC0AF6e5cOtmd3xmBxvuneEPdtx852e3zsV1rVmLgYMx2mgnY4yTsucLAB2Cn4DLpr2Qn8sJgWdMcX44SKJyhiitvVkW7Bmb72oORI7Tw0mePO4RBzs8QBqZkaqCs1F5erJbJqfWFga4aDJkT7K2Vd3bZ8XMTFyrGJp4arkUKkehHK+mynTLhcxgWqq9JTn/B4CLjZTUe0FRf6P8dNINnB/ng3nOxSnnspPaTfpMGKiK4AIF1ml56O2Y2bqE23gvIJULTfC8P5zHOrYsY0/3CQem9bVpfKDecxznsY5NAOdBgTJ5W/rjUDg9RJWmrg7oyHYj93W6lkILziMrstckMBdaDPigxwAfa46tNmcBVy4Oj76XI7f0vcgR4LmjJKThqQI9EuCkqPR2uBzhg01okKTBQKqJJSeDBozMaF70dt+cxcGK3u48QWSdAIBPA1V1r1Jf8+Gx7NhalMrzT0APcDFoUNRchAQZikhB5VRuoeONTOEnHE3hwAz31gJ8jyzp8aUv7HvMSXOakYZ3KAWEc5GtyTTH791vH605q5LyqplNCVHhaVlkmAMJdqokZFKx3AjhyVU3iYT2kbNAlYmBzl9l8uD9hU9xDpQ4LY87RpKoc+/cvrbLvR/Sq1HWw9Vn7yaY/ZhDQ9+lEDfJZVmn7PH6jZfn5IEddbmZ34cEEFE1beDuiWukfB5Y9TFl7zcOWDSIqecTherhe65FPgeyDtRMjyItX21yBHj2K32EU0twMDNlfyP2R9tCHg5duICCXbaPYuxwLY8FRrtAmrnJx5yYJm4KCBfiIACwJYB6jym+MhujBQBmJdhFgnWrmtdVc54oPFs4TyFA6S4k+OHaCH1tB5ho9StBUcisUGeKoGP4sTQJzdi1x6pFhfUVkwLtYoxeNEfDc4cRz2pHbCMvrI7Z34Hvnr5MTLUbuY7mHBUAMiKoulWZSguoxCepU8JSDga5kGYih0IPQ7s9NqaZAdoYqzaKTniCqCNDV/cn596uvxe0gxey5+dke25G4KZXb9JhHoukiYrTmT1nCPRwMxNpdtqW8D5DKD5V1b3pe3d3J4WiJFF5AhK2+gJAhSTUtiFNCN2bvxAwfd5EAecEZPKsGqOFEXq4aLQ1FzHABmn8TEwt0pxwLTD35nQa4aFt11DbSW0PaYtD5PyQLPO44s4QvgOE0+ooO2I6QMVNYTOjBdrKBhhu9bDY6vhJayu9tJq1dTssKbCyZwBXfY67hhwBnv0KrepDQoAmYr9H8PNhSVdGAjtTlIEOfecaILvNeJaYgT1kDlg2WPAJUIIPEj5I0ssPwJqB+ODMJxM+eWivqTZmxnsqh0IbE7si4/Xl+hk3SWd2MKpSccugbHXeNSFx53arMj5Ax8h0dNr+ED3MdcwT4vZwYrKCC0ioG9b1GRmHJ6T1AZx2LzCQ2lgrkMfqoIRFopMa8gzXFD9GwU9bwLNCcyFTy9iYKkJeYb4ezTc/LJ+k9qZp8FItRL4ZwfO28hYQTSyiXSyiHEU60wsCIv0rP4aNPYQBQq7VkMAn1I9kiAXeDn5c8LKGNTbgJ6TZrDZn+YT1qomOg0p7XzxqsswXByCN5kAyx7QzQrszsUFGKRDhBG2Py0P3QecPe0o6U1aZwyN5aK4vcd5ZqL15my9rB1pI8dxYdA2AtG5hPqE+1vDcRm0Nds7DX8RWyRUKPLgfjVX1Oe4acgR49it1K3MCKTmctkYeR+YqqRmg8lyjA/haIw/wNCypuYgKzKYxkGpPCm1uciCm6mUIQRypPQFgV7ek6tZVGNtBVf/2Vdb+SnnirfrkQMivHZpE62z6vJ7ye24BTHnioc9q7knZDNIuxoinczdZuBO6oIX6IPesFHywAziQlJlPCXy4aYxMXqYM5/PYdjO8nrHSLcuJx36mZ5fYVJKc+XGUEFTmMQtJnRfYXmT5Ct08e6vdUViM2jqUQmiFTe9G2sQijzA1IClJM6hO4b0Xfj0cEFEM+PBJvAo4h0AP/+TCyc09jJi+YWxbO0RadrdHJrPlUxQ3K0dFgXg6h8pZLrsa8d+66sz2VXwj/t7qusaQWpTyNfXChde/XotYbucqMr+sm//p5+ziz7OFifFabCNJM8zTOZA26zU7JHcNWsxXlBwBnv0KAZIqIQDTRdm8FeLxRIFP+svhVhJB0jKAtIn5qIl5d45md4JZGqPVmZgVfjiRJA/CVuTKiychgyQ20xmSNEOrM/HU1ACM94WLKQKQdscFK1zHpiUxruM8jhebWN2cuzD1NPnLcS3ULlIYmJh2gGGnaz2N+OTN1eOhFalOYWFWptlQJ/skkjLYsyKiMX0SCKU4OzIgmxS6Bzp31T3Rs2UBEXdTYNhvYqzaHgihQVoSTuUfqfP5ypYTtjlRdVj0MNzq+YlA5X2k0FrGNEPaHdvYNdwE6t+W8L6qAKlcMjggkk1jTLd6wFbT15hK0ri3gGgA3RTzbor5YI5smiBJM8yMRxbVKTF8HapXG2OPgNszvYrnmuNSRw6WwrWRMoYPX1iEgGBUGPCd0yfxucLXCibrLdj3qjqafZxYPYOLwkz3we+JRhW6f9LQANKMVzah0zU4EF0GsOUCKBS0kL5LDQ+9CxmGzAPLd9oYm1LEXwIA1dGm0u1oAIzS5RqeKxR4kKgLl3eOu4YcAZ79SjIH0nl4Xx4ZoNPwNTnSa8s7JvDJv0/FfsAHPASs0ASvVZEqmzHaXUrpKMsG5NhAbFOW3ZpfLwLmaYp5FxgPdlAcV4By4fN1VYiH4CY5ik6q7fkXsY5NbOAsTm1/Gc3bAZyFBjyXUD9gLJMIFhCka0B6aoTkRIZCRYZrQACgawdfAHaCIQ1VgYnV4HS2a3IGuYY0jQwfoFaV4+Xp+Rbw+T5co0PaItIcQUevHau21dZM0C5pvsg7S/MvBsanjjQ8bavl0ZfTg6SnCSp62Do/wOJ8R4OKLfhcBWpzASimgxTT7hTdwRCtzgTO+BiYtJnGjH/q7755M4IO8a+BeaT7KZmIef34O8O1pZ4GyH8/NMdH0YURG+8/wGlhCC6uY9OC4irTr6t3PdihTw4MJdAhYGOPYwCH8mU1eD8C9jdjhcpy7WNiwBW7Falz9e8rFAIjstCQzJKR0fTwtqDvMVswVZHLJd9HgpSqgJwZYrQwwQQt28b6mjEm5tryvXBm/MiApaG+ZqJQDBRGAIDUjfN3oiwCWqz9n+PILf1I9iuUEyvaBdBwWho58cnvqNi+TFuQss9Ua3iIz8Pz53DVsFI6kGEUFSiiAkhnJtZP5AM1ukYEoDtFuztGW5Hqfeb9cRu9M305t14CP01K0HkB2rWbQEXdvdcN6EQK7gBYB3AOWF2fY3XjS7h+7UvY6muNDxEtCzaQcZNbb2eElEDONvzIyaFr0ic3RRGRnY87VHcygcnAhZL/w69RsO8JMO6knhYmBF78+DuOlExxUIg/ZYnAiJFZ7dYYscqgThQYphmm6TENaCTgAfx+14Xue5QBvSCXeW1KLE9aurahwJFysrITW66MtgkO8JxHGZDZ/hrYlgMU5ZxHbaa+EIFi4czYlZ3Wgk/4UiQfiMqHxJ3PmU7pvHbyVj63LVeKgaCFuY7Q3PBPKkCfiTaFZgmCiTq5SDBBQTzbRtvRxbCk0eLtIL0n+b3KoI1lLaBPrubHAk4rRG+xA1Q+2AmZrDh/Z2QXAG4RwHOKFYjsooKHa7iIAba2B1rTOGpeNRqeI9m7HAjwfP7zn8e97nWvw67LV4ZEhdMVV+0/gMg0EjIfVnV6CTZpKD6BsAFTDGpxMtMu1yIYm8wFpqLcmipotUuvfg8j+ymDHcaYYWCid2zgLDZwDmu3TYF/BnAbdHbxc9DgggYMDmw4QOCfIQ0Z8WMI+HT1Z7MD3K0zwt2SkS4jeTL7XZVxM1MCbb6ia5o/yiNEonIRv2cEl52drk8TM90/kZmJ89MBLq03cQ4ncBYncA4bOI91w7HxuTXlVbObwENC6nyaAGyslX5P/1HwQeMhVSe8L03ycqAqmRdLEsrlBFgYADcu2hhu9XSG6jMAvmT+zsAHPQRuUgADAMfNH916l+qR27QRZGYhTg2ZMHgMHueinXltKXlfZJZRKIJxnLjIeEq+R1Bcel8j6AWMUgWSSBOPAe215703hXeQNvX2nalXxtOhyZ6bqaTHVde+9xf1dsNj4/fF74fnz5KBMrkHHwd8vP0k3wiAzQAP6PxydB2AaHAO4HCTLcEnaerlbaAXD37gQV5/T/NJhGXqc9KcKmVSs+8Q5Yi0vHc5EOC5973vjYc//OG48cYb8R/+w39AmtaRWu5ashIAJiGwEoooWxfIrUqkvRoIuwvr/cxurpwWCIlemcuoEVSPNlw4uzbT2vCgaTzQGoXoahnCcm9npMHNNrRmh/9JDY/kyBjAsDsF8gKY50DOmi6KgFYC7SrOvaE4UZiDHU4mpglSEotDx5D3FR3LTSgdPbGMO6kd5G1bFBlaozmadAzXHBXw75nOJyYu7SrcNpPWwE5cFCJAF3N9xc9i5Eiwsi9RiTYmGKJnJ3Wa/NsY68kgiVEkZVNBiA9G5GIpBNy5izgQ2z5Xteq3Hlnc43ELeuI5gzLgsSZe05ZcA2TSuDgTrJt0ScsTl9pLv4ecvEvHcG1hyQtKPlf2PJsKQLTAPFmgiOZeok2uYXHt7QBBrvRCxctnJTWFpNHqaFfzMVrYwjEDlo/bhLw8mrZ+GjOPv6TjU80QYUs7HuxsI70Al1zXSDMCkCyAdIHdzhzjzgpU0kaEwvLGqmJs0fO2nnIM7DQZh65pm2OBWUoed+FQCdJjLrMjkuOrXWSghwA/Hz/JFX2y08JoqwecT8um1GVu6Zdjrt+HHAGevcuBAM8nPvEJ/Nqv/Rpe+MIX4rnPfS6e8pSn4MYbb8Q3fMM3HHb9rjpJOmM0uodnCVwWyE16RNRJHTDiEiT6qTJwkis+F4d3q+R1FdLwHMd5DLClzUWcF0N/0lzFAYAAO5NMA52J4IxGOTCZ6gGxlQLRjgE/BIAAB1jAfkuAJMGS1AilcBMYn2CMRirNgDSZYjed2tWo5VrQfU/hT4IEtBCoKzPFJEWGttJePROToT5BhrEI+c0naA4+fRNBmWzKXdjbxvuOp4Ros1WzfkwB7oSKUCjNcZBeS1IrUlVXXlZ79yj0kiGK4wqj/DismZi0OCdRNrnRvgG0huek+TsOrAx20O5OguDF3Zuy1yYtE0XjzaE8Dg8BI1teKeSdDEU0QzxdIIqM+7eUSJuY7HNgCT6rXNSJ2+OBAepTUvuZw8aE6kVzoL8FKN225GJORHYZ94oT+QdMJ9TLhkh3EJ7g2SIhV0CWULoZl8KXk5jpWpoLGHltTu8EabEi4skBLNp4NYCS7aZBtO7jE7TsAq0nTHM6PIDTENl0NB3oIIO0qGfv/NJs6WV++5HcyXKgmfuGG27A6173Orz61a/Ge97zHrztbW/Dt3zLt+A+97kPbrzxRjztaU/D3e52t8Ou61Uh/f42VlaX+xt6KzQTOr/KLFAHdOQkYY8xb5njz1QDJVkv/8UOq53pGjyWjs6ltWU9rwj4cLddqlMPQwyyLXTOLZwJ6wIc8KFJintCBcDOfEcDmkmmw1rkgEc+tU1SYE8DTBO607ehNUO9DtAgs1QXzkzFARPgAyMKPtln381fIzUxckgkQOIu7cSF4deh34k7vjWaY9DfAqCBzgBbnvfZQaWk0WMaItLucE4QUNbu6O9lA0+dhIP/lQmqZF6KOzN0/9UQo5M9vdreSpd7aXXN52AXK90x2t0xuh3naUXARXJ1AK350vwNR8QvoDx38SptWgtjzJIZ4iRDks2gkrBZy953Tt5WC4ie7W6Je1txzRGZeyXfDbB9rZEBq9tzrHa+jFPJlzHpNm1W81CONE6gttpJDq5kzjimBd1NgUm3WRkSgVqa9xYe3JHA9kzFiDt+ihdKhMrNZj5pPzLVoOflADuVaGGCHAoDXLRjZduEB+CpJTjXBwBm3RjbWz0gMjGfOJdM8tu41PPbD00OJ/DgXSOv+2WpKqIowhOf+EQ89rGPxRvf+Ea86EUvwk033YQXvehFeMpTnoKf//mfxzXXXHNYdb0qJMEcKzU9mToeEYULRJooXJQ5M0ANN2cJ2JFxMWTgvSpTGOcJkCcMAR+tIp55Kz4Xj2RizR3ctu+iqfqJEK3HEyXbJJBT5fkUklybsOa5ngoI7PDD537xpdsjaEDSAtDKNJBaK4BmAT1hEPlYxtXJ2R83dUleEHc3D5FKJUlZvoE0YdP2Qq/mKfoxxdFRKKwpwl3e16zo7+GYMDl7xvRJE7i34oZbKcvj3Sp7VpqA9iJ1Gkm6vzaP3tbR78s4beuw/qPUfy6A5zK/0h0jTjMk6QytZAxu3uPX55pTyQeh98XFL3KaKDLDhdJmANDeTlHB0pOYMswcxXkqQEWMHKkBlRpGvk8KM7s0U6C5M8duOvdys8m6eZ5gUqvJRfT/XGmCdQ7FWE9+/HNA4wAas+x1mTFPkV7GaJ0phYr9zUpVCV/syQUhEdS5qz15ZJFZtTBangQ6kj2iHN5SJke570nZ6zh3mXI4bulHgGep/NVf/RV+7dd+De9617vQ6XRw00034cYbb8Tp06fxMz/zM/ju7/5u/OVf/uVh1fWqkNs+d9/6bOmA8dLag0RutOPh8BOT3ZncyutADw0nFOuC1MR1QdJ8cl7iDSDlwF3hCZPq4x/ppy/YjYAGEXBX4bQbpEWRbtmkAWFE3/YUaBuTEOfx2Psx3+e53se1QCGABPidfg7g0khXr0nX57mxOLghTY7woPLMUdx8puBc1/c6+NGxfDDNgN72VGuTAKtJCJmWuKcW90CRWa71JfQT89k+/gRVp7VR8FOTLMscJPtSXdBCmngAsOzbYxTJFrKkXisp9U3Si1AuBvwFQ2EnEDIZEvdDBgSk8jxLuiM7m3QKqoBS/uRLCUy5G7olOauy30OlwzCZrriJtIDrQ5H4M31aJqL12t38ror1I+vGzzVO2hbgEKiAWQxVkbEB/axHJm7WJtZtO9l7EhLSdPPnws2OFMuJAE1uxryQxyPvTy6Lun65V9IZFoOma/MBlpOWpwB+q2b/IQllLbu8c9w15ECt9LrXvQ5vfetb8ZnPfAaPfexj8Y53vAOPfexjsbKiVwv3ute98OY3vxn/+l//60Ot7FUhfwIwrmhZImjVpxxs5OQJAGia7U0sImARAfMUmBo38xUDfHh2ahIyg8ncUTyo2bKosCGg42sH/Aik/m1KDZNT/yvoATxXelVJE7UFDWsox7nhKnquPmeaoUamQUmTg4fAMWMygxXaUUKCHgl4UACTbWPuUiZnFSvUjIAmgbQ+3CBH98MBEOflkDZIXjyHA1SyDK8c3T/0Pa9lU/SSKSbdZsm7h2dKJ8+TGRJLzCTTggRJupo+CKZ9dbmMwvwbByqklIG284rJGFSSfY0HrAtxgPYrofsJ3csEbZB7coJeadHBjyGeGxH1Q0R+2T7eu6oyJMqZwQrh3UU1DgIf3vek9hHwE91GwDzRAGWW+n3IP6Xm0hRQyBOuVSmD0nCV9HYCqmB52kj4iCWjfBPvh4N0qcmmkl0MLceQg02/PpF3XQI6m1jHRQwsaVlGIacFIQC0u2NkUYH5IAamiY70vaz7jZbsP5IrLgcCPG9605vwQz/0Q3jmM5+JkydPBsvc8573xFve8pbLqtxVKRSnJSTS1JGiHvhAbEvBVgw6bQRSt1oJZYXOlUsUyj/1iqU8KUgPBjmx8UFM2TOUVci5+C1FrxQXzsWayMB8YpeAJ4cGEBzsJPDj4nDVOj+Gyu4A7ciAlKk2B40RHptk5yfwkxs+EC1+JwBaueb92PrQ6k6qtrkpDChfuEoFXvUmCk1P09R0lhYAZta1WVfdxU3hv0OTCJcqzUsd2JES4rf4x+jexGME8WvK73Qeuh7X0kjeWkiqY7IsX8u6+45BGd1CmgQy+Zav4d4ZXkcOqri2Q2sfnPnG88BaJlwjGDKPMtkNPE7SfLh7L99DKM1L6DzusmFtiy7nL6A4kVn3VR/8hABPiwUNpaz2iRiUyVTP+6G/RHMa0Qy+yS2kgQSMZ20KFFGBRWoY2nnNFLp7ZcxEiyVj8d7OcWTSqpTPfe5zS8vEcYynP/3pBzn91S33BVAOM+JLiOMhgU6onA3oprU7cZqV3NVJ5Ko0xEOQ3+m3VN1K7gV90uqVcznktQDKnN7zBp1YzRD3MyR9Ezp/Z6rddSWXR2prqki+IR4BbSNtEQse2NwGmjvAKtcWyeP4eTNgN4fn+j4Xc+lubupPz4s4DhfgzF08Z5YEttLUID3HuFC9FKu7qW8zB5qZnhR3owVyNccsnQGJ1kzoosq64HLfOklUrSPKKxNIpIprUw02ygMw72PcxEb1mdnVtQ+4YzZhUogEnn2bpzSh40NmW75Pf9/b0Fd1j06743Jj8WCWUstDwsvPkHgcJV3rcsbJ3Ji5diOj5aG+k6BsiwgBH33DaOxowNwEkGIOYF4yGVEsqVnqpzHhBHb+rOjepJcm3XdsPuWYERtDF5Wh1BKUeFRqeKh9uJaHjzcZEpAXnQQ5LsBgbEGQ9tQambpk6Ilrcdf0mdJ5CvNRy3HHlrmkA8DOlYleHHrf9n+OOxbwvPe978V/+2//DZ/85CfR6XTw8Ic/HL/7u79r99966614znOegw9+8INotVp46lOfite85jWI42WG8v3JgQDPW9/6VnS7XXzf932ft/13fud3MB6PvzqBDskD4CcFPQyhzOfGhJWkmY0GSytaoDzxhFaONJDLSLa0jZsROOChlBM8CGEUFYjTGWYqKU2SJHqIbnsDO/+0av1OAdXJkaz5mZOrJlOveSon3MKCqZRSVWzCRXMmAMTjhnAgRftMuYYBSdGOixk2z7W2KM/1Yq5JwIo+z0EDHe7KzgEPmbgSVo6DIzouJFJTRPVm12gYE1yzs0C24YLpEYdnCwMbf4XMW3wC4SYCN1nP7DYOKvyq+aZR/b0aUHBIRZMm9xIMeQxRChMZmI6bMKQpSvZtx8NxE7UM2Fhn5q3SFPGJmptYWswwI03L/Bgi+8vJPFZZOc4OYEMd2GonqBVLguYLBlpkVAXyjLTHYtoB0v4cWB/rUANQpQjFvP1kTjBdzdw6PEiuUhEptJR+9rrP6bxWLRP6gie6rXLT50JgBygbzzjIHhszpQbOY9OMmfXS0uWVB3Z0LPKeDXSIaeK8tEaBNuRyhbKlX+3yv//3/8aznvUsvPKVr8QjH/lI7O7u4m//9m/t/qIo8LjHPQ53u9vd8KEPfQibm5t4+tOfjt3dXbz+9a8/1LocCPC86lWvwi/90i+Vtm9sbOBHfuRHvroBT10uLaBexZkHEL8BOzRC2dQQkb/aBqpXm4CP8ikgl/Qlk6sX+3IzsBMKGufrkZwamGK3UAA8qdYm9TU3RYQI1XsBPSHRE0iMohOhiMboRMyERrwFHgNH37we7DnYEdq3BjRNK48cr7wZOROXFU5YJLKo1OrwVTjXDLmbKGv/+Da+PdRMdD8JjBt0Doo74gLm0ZPW2zMkXt8iUBrBTfN6unGaFA4odBX1Vu6NWCUhLpg06+htee15eDl+Htl/KDaOK3vwVWIIzJGQCSRk+vVd+f33N2LldZ4nxa4TQZsqUevODmguTp3YGDYc3BDY4aDHVdT1uUzHwlEd36hF98GBmr0eA3aR1yK57puWAL0wQD8zl9WlCCz5GupqHqLeH9nPkJaDPw/Z/whQU4JQDm6dB54e7xJkmEQtM1Y3y+9mSA40u+5fcqyU+ub+z3HHpHbP8xzPf/7zcfPNN+PGG2+02+93v/vZ7+9///vx6U9/GrfddhtOnToFAHjta1+LZzzjGXjFK16B1dUlTkL7kAM9ki9+8YvB1BLXXXcdbr311suu1Fe0UD4twAc4ufi05Rv6BUrhdTmlCqselsAHgH2JrZo5i/2EoHmkrx9i6wqNEidFx4wzxEnRdG2ydw/RhYLOidRGG6OA6p5ADk2cBSJzNEr3A/hEVN8oUdgVYp3s9FccQbpCVL7QpjWK+nwBLk7QOejEpheM+n9HEKSlcH5NKG8OkZqpTonYtgan7QmBIfouOUvyWhGAKdDJFrh27QyS/swGjtvAOVyL2yw5MzTwc16MNBdJrZ0EACF+h9SG8PKcrMpNJDGrlwPJvG7OG4wIxdroVu5HcpKTLvhkI6QJLhbH8fto2yuEvNTc+0lcEv2YNI+Ogx4qz+PD0FXInGPrlwAqqe7vdW7uJeHmW9JqhmLqALofjWBzkaVT4GR/G+31MXpqaE2k0uOKj1MlT7XMBGEsfJf7JJsjS+aI0sKMMzOrKW5j4pna6dnQJx/7ANi+VBUWQT5TDWYKO66FtH0zJOga09oAW1of1+li0mljfF17TylXdi8Nr0g6rcPx0tImrUuXLnnbkyRBkixRJ9bIX//1X+Nf/uVfsLKygq/7uq/DmTNn8G//7b/Fa17zGjzwgQ8EAHzkIx/BDTfcYMEOADz60Y9GlmW45ZZb8IhHPOLA15dyoFba2NjAJz/5SVx//fXe9k984hNYX18/jHpdvVKXSyvU+bnKMwR67EqhCXQLnRUafgJD6XnAJxnKNTTf6gHnGy7s+RZ8OzNxhFKYLNdNLAZNLLrAfDBF2h0jTmdehnVuM3cTjs6wTWW010PmDdjclk+mh8JTdTvhk5U0XdCqMMmEap5LAsw7OuDZUPU83krQ2yMp0O6MMVjbwsa9dHaqk+e2gc8DuBUa/JyGy+YuSdU89YXkIxkeEEkjhfZ3Jy7OqvkkT7UN6KSnHec9U4qBwgnc/Pqcz6RgNVbNHeDuOxcwWN/C8WQTp3C65IkiB8cqwql8PkDYs0tONlIbws2o0m2eXJZ5pFt57RDQz811q7SDsp50HtMLTKlZ6ZgqUx2dS7aTNIDJ64/R9t4Lfm/WjGXNPg5Ukks7F3seo/oJAaIS+OEmXJ7Xjfouf6e4VpSZfFe351jtX8C0cwHjTuo9Z+W1gx8NupTVnV2nkQFproFPnOj0GrFy7us8JAIJB8x03RwtDwCFwi+EJGSm5deRfDMyiXn8syTWaXkqptG82MFf1Nbi6pNrr73W+/2Sl7wEL33pSw98vn/+538GALz0pS/F6173Olx//fV47Wtfi2/91m/FZz/7WaytreHMmTM4ceKEd9yxY8cQxzHOnDlz4GuH5ECA5/u///vxvOc9D71eDw9/+MMBAH/2Z3+G5z//+fj+7//+Q63g1SaNqECjCvBEBRYEeqRpi2sDAH+QIe+laYIi0tnMi0SvQ0i4p8i+ZY9PuchVJZ+EOBEasMRQjLlNal8+sDveUe4RT7mqmwiNtB2QsUkWLi8RHzB520EPrCovBKnbV8PTNt88o0vsRkCDe5KRq7m8Jqn8d9h38jYrHOmZpJm7fTCeX6U/Q4JuGq6QNzlw0CO3S/CX+8fE0wXihPglE2/SXzYZ1Eno+L2aJGllLctzU1Cdaj4DxFRbLH0nKoMCBiQEhpa1Fe9ToZg/8tpEtqVFBAc57i9CJupbBqJGE1qRpDQqzCJB9hu52KJ+rE/qhI6jQJo7GqCofLq3gIVcOymvy4jVDRAdac74bDEAFwCT2keL087x9nK9wmmIL6efR9AehXzs4ppCAl36GuFAtPMrlD10LwBv+Tk0UL7ttts8E1KVduelL30pXvayl9We8+Mf/zgWC33eF7/4xfje7/1eAJoDfI973AO/8zu/gx/90R8FADQaZbrH7u5ucPvlyIEAz8tf/nJ88YtfxLd/+7cjMgFLFosFfvAHfxCvfOUr93yen/u5n8Pv/u7v4h/+4R/QarXwTd/0Tfj5n/95z763u7uLl73sZfjlX/5lXLx4EQ996EPxP//n/7TqMADIsgw33XQT3vnOd2IymeDbv/3b8cY3vhH3uMc9bJmLFy/iec97Ht797ncDAJ7whCfg9a9/PQaDwb7u/ZqNM1hZHQX3ER9mNo0xHrWxGLV1vIYR/NwroVD4RvOy6HYw6raRDYY69kOSWPIoV+vTihkAkjRD0VVYoK21NyO4TNEhbVLK/+ZYibRmqcgLTNAuZWDXsUhmNibJFgaWwVOONeLU2pSHB4AlcfYwxDo20cuGaO8swrmGSOT8FPJ+gh5g2zsLqHwb7XSMdXWekR59NTc32/SyoY4GTSTkCE4L04fWwHDAQwCFcoMpsQ9+ctN5zhz66LnvQJvSTsOlpuBJTuuk7m0VE1szczm4+IDI3aiBsvaiiqTrLlPWgISET+ScU0P9lrRvPIFllfZJxnyqDiBY5pCVNBDst6wv10xyk14IwPBzSM1maF/1ddzigPpr1Xk9IrkxFZVyapFwgFOwz5A3oBQCQjRuEc8NOvFpEwCiJZyPur7KvRVTTbxPUyBN5pgn88o4Qc6cFaPHPMekB1mIU+b3Hh8k6WaQZrDIAzZ05My8Py0xroTkKxHwrK6u7okz89znPnepcuP666/HcKhp5A94wAPs9iRJ8DVf8zWW/nLy5El87GMf8469ePEi5vN5SfNzuXIgwBPHMX77t38bP/uzP4tPfOITaLVaeNCDHoTrrrtuX+f5sz/7MzznOc/Bv/t3/w55nuPFL34xHvWoR+HTn/40Oh0d4//Vr341Xve61+Ftb3sb7nvf++LlL385vvM7vxOf+cxn0Ov1AAA/8RM/gfe85z1417vehfX1dbzwhS/E4x//eNxyyy1QJkbJU5/6VHzpS1/C+973PgDAj/zIj+BpT3sa3vOe9+yrzmu4ABVQh9qXUSUYdnrIc4XpNAbQ9DM9S2a/B3igI3jmDczzVQxzhXZ3jCJVnqkJEKr6qECcZlY7tBgoeDEi8ga86M+BCM8AkAvSMk9sOosSKNUOTEDllSwFBCNSJ3mjKOToYqizLp9DOKaRJOxyInBoJaobA41ccw7SbeNuWxUClarKyZs0YRC/hoIlylUqgR3ues4I0XmBkjv7eEeAHjoH9+4KubIrsa8uA7y8P1PfeDpH3CHvmTD51oXTd4MmByd1Xlf0Kc/JV9f8O2lyZoa1Qh4/E+Orw2Oh0LH6M5wQ1S/jAx/OQ5Iu06E+S0DYBRAcW2+wELDnUgW6SOR767eja+uZhT7l87cxRm7eoRja1Gs9BiUx379AWaoIt1KbSQBfamlC5+TvLfVdScgPEfMzuNhWiUl/obSpK1faOYSTs2dp0/PwmiFBzxrVwzweB5ScR6D0DlSiPI/jQ5pt3Z9mld5jUmZXKl36nSDHjx/H8ePHl5Z78IMfjCRJ8JnPfAbf8i3fAgCYz+f4whe+YPHCwx72MLziFa/A7bffblNRvf/970eSJHjwgx98qPW+LKbTfe97X9z3vvc98PEEPkje+ta3YmNjA7fccgse/vCHY3d3F7/4i7+IF7/4xXjSk54EAHj729+OEydO4Ld+67fwoz/6o9je3sZb3vIW/Pqv/zq+4zu+AwDwG7/xG7j22mvxx3/8x3j0ox+Nv//7v8f73vc+fPSjH8VDH/pQAMCv/Mqv4GEPexg+85nPeBqly5XKlyBkfogC+9jvhQEgsd1c/YJFEfF/+EaGqiJ2EQN0AHikZfrNhSc29WmmvgcP90Dh2dLXsYl1k3T0mMmwnvKs6XJM4F4lEfu91wVMXTnePBTkMQ2Ukep/AkaA0+Zw81emP4ngXPLsisQfCScjV9WT7omDHKkRith287eb6snB6eESO+jrS6vSJ+c/1BFA5fcq7ZCUkKaG0qLQ1UJRPWWQQp4lvqxB0WBmZvqouxdlzRNkDqPyFL9F3i+vZwxnqgrVjdelCgAVcOk36Mw0sfL7C5kMg21aZ+aU4IK2dcQ2KXQObkrlCX5DPDopKlBGEvLldj4WKr2AiaDXbWSu0xw30xeMUwfBEuIG8mcb0kZmSKxpVWofw81R37frQE+Blcp9hylywXGwc9wxXlqrq6v4sR/7MbzkJS/Btddei+uuuw4333wzANiwNo961KPwgAc8AE972tNw880348KFC7jpppvwrGc961A9tIADAp6iKPC2t70N/+f//B+cO3fO2ulIPvjBDx6oMtvb2wCAtbU1AMDnP/95nDlzBo961KNsmSRJ8K3f+q348Ic/jB/90R/FLbfcgvl87pU5deoUbrjhBnz4wx/Gox/9aHzkIx9Bv9+3YAcAvvEbvxH9fh8f/vCHg4AnyzJkmRt8ib0+RgpVkVvCeqBksQYfeVT9klf95qusXKHII8ymOvAV56iEMrArAWosn8iAGJ6vSwY0LLvA60++2iXPH/qjWCK0CqbBnQBRDyMMcFGDnWILq5tzrdng8XGkyU0CBKnRCLWd2LebopQviKIR6+YoPO6DNQtw3owEqFRmG152dPu3CqBvojvzYymYJOcIheLvhEyPypTtmvPzjO5SK2Qms90OMO6sYJj42apl5Fp3WV+9X6Xy34vUcWSUmZi4tombP3ncFRKt9fAh9hgtazbOpjqcwiI3Gk0D5HnCUNLS9EycF55AVPJqWiZwikLBwFERAPhh0xlvOTpWtgk3y8wYCOVkWCpH5ygDoFyDAAIlXMPDiew8/pPpQ0TwD2VMp3tsF2OdJZ3Htdo256V3VvbX/QgHP/xTaIIawVPruSZBBqVyQ3qfWdf+kEk2RHamfXUAnj8f2ReXhWLQx98xIELKYXpp3RFy8803I4oiPO1pT8NkMsFDH/pQfPCDH8SxY8cAAEopvPe978Wzn/1sfPM3f7MXePCw5UCt9PznPx9ve9vb8LjHPQ433HDDoRCLdnd38YIXvADf8i3fghtuuAEALENb2vFOnDiBL37xi7ZMHMe28XgZOv7MmTPY2NgoXXNjY6OSBf5zP/dzQVLWokIfXLAXzgbwI7fwZSsiKaw8AZqQ+2NoHwc9ypi46Dvtp4CC5HZO6vwQyZe8rI5hC+vYxAa0Z9M6zuO40d7obOkZIyoXSIoM8XSutTksuF9l5nQ+2HGVeI4w4JHaDfY9V8AsXUGWuEnF87BRBuQlBuhJzxIepJCeB5mjFKsLFzJNchDH68rBW51JKnROAlUEfAj0iPNPO8C4k1puDPFjhugGI9fqW6x3L68DPJK7xYNdVpl+SANI59W/de7qNntOdH3S5lDMp0nWxvb5gY52O4JvIjY56aZpB9MusD2YojsYotWZYIy2B865WSw2WiaqD8Vnofsi3zLiz/j377dWjKwEqLkQPyVW+p7p/sjkK8GobEv6HnFNTIEyECFHCDKbrgI76yvYSgY2ACVxX3L2LFqYoKeGGPQv4nh3E6vGrARu4qLfXHL42tJQ3+ZaHPmd6q7YpzzcXFPlCxTRQo9vUQGlXKZzXTW/DSmZqd5X9jCjY0LxfZwZNrbf9/p+zGsWAIcpBVb2tTAJn+OOq2uz2cRrXvOaWgBzz3veE3/wB39wh9WB5ECA513vehf+1//6X3jsYx97aBV57nOfi09+8pP40Ic+VNonAdVe2NuyzH5Z4C960Yvwghe8wP6+dOkSrr32Wnzpwt3RmIfVbN5qc9r0k0ym7BMIc3iIx9MF0NWu4kk6sxGXS1wAZV7gSHkRknl9+PeSucq+wuU1vq5aYQd7pyNwK2b+1y7GXoZl60q+U/EnXWK52Yo+uTaEc1lIBEjyNTv+ZFFJHjWTE0kjBE652p3/8bxf7sT+ZFAFzMDunU8A9JuPXwSOCPSYKM1z0xakycoSl0CUCLA0kS8TyXPg30PCgY6+JX3UDGGww/kSZcNo7E0kvD78ejG01qYYKIyjAos0BrpN3yxKRPx0hnZ3jG7HJZfkYEcmJXUmKwfi5JtBARvpfvWkSUaU3MC2BIXJkB5FRSlmDmkb5QTLTXp0TXpy5M2YQMf6iYrC9VP5znDh/cx47rUSX4vF25nzmNqYuLrTe0fmsJBmlgN6rsEMcXn4cZL7E+kUGvQeSyHvMHq/ueaWpKxVy+FYatInkD4DC0qxTcaQWqblqQlPeyR3khwI8MRxjHvf+96HVokf//Efx7vf/W78+Z//uedZRYlJz5w5Y8lMAHDu3Dmr9Tl58iRmsxkuXrzoaXnOnTuHb/qmb7Jlzp49W7rul7/85UoWeFXApfz/twq0KuyK9OKmKIOY4+Y7RVa2xzjicJJmNhaOVKPLuBFeWH6VYKZiZAkFIITl8yyEZshGcraBDas5OSE+zgmcxSmcxgbO4QTOYn3nAtILKK8webyaEdzqsC7oGQ2qCfu+jpIqXg7S9t7YJBwVemKIUJ50ALCor/YxlMEONR15txTwB34ORHagY+tIjoMkgtJ3+i3L03U4OCIS9Rqwuw5cXEuNxsaZI/ik7AMKPUDLyZWO4atVAkp0bq4dC6UWkSbQKldseR05aVRdhz9jyrzdwxDHO5soOuXyVDeubeHehHUZzHlr8etTJHENQJzZlt8/nWPCrqtQAEprE6VIzg693wkycA0Xvx8e0yqezv0+QwlrCShL8JwB2NSm27ULUyCaAsmFILAIxs9JoN9DTuSnc3OwYxYm047WYmUqsWkiQtoQuRjhLuXUvlVSpUGsKkttXF7e+f3H/Y5BWg96N6S2lIB6lRRXJOxgeXFw0HPcFeRAgOeFL3wh/vt//+94wxvecFnmrN3dXfz4j/84fu/3fg9/+qd/WorefK975rwCJwABAABJREFU3QsnT57EBz7wAXzd130dAGA2m+HP/uzP8PM///MANAu82WziAx/4AJ785CcDAG6//XZ86lOfwqtf/WoAmgW+vb2Nv/zLv8Q3fMM3AAA+9rGPYXt724KiPcvfozpSvfS2Og43IHR30TSu5nHiVpeAP3Byr5K6rNA63PnMuqYDeiBVkTNzWW0TgFCwRGdi8CcGPhC1MQZlKCYeRBdDzc3Jtpy31TbKEzrnvkxRBjt8sidsSRowBoCmfWDY6WKIrp26YIv5k46Nv6pgTVUAgnFKSBohgOI3lNuXogxUaCVLZgR+Dk4qlSkuEPgtz0E8HmPWGvabGKIXjJos+QYcTNSJf1zCQI+vfSEpB90re1OFrkEAhXNHQkELQ+KuVe/qy+uyLMM6vw8H+P0AgtSG7vy8vf1rUVwgMpc4jVe5U8n4QK7edP4Z20dxq2ZGI2lPot8TItED/ohO4HnKvjONYyNyyURLx3LNZBrYxmSeOBMy6dLIXbwq5ID0vCOTeiiyfFk764BRqL+FiOX1Wh4irXPvLP+9oneKHADIs7Ae8HwlJQ89AjyV8qEPfQh/8id/gj/8wz/EAx/4QDSbTW8/z4JaJ895znPwW7/1W/j93/999Ho9y6fp9/totVpoNBr4iZ/4Cbzyla/Efe5zH9znPvfBK1/5SrTbbTz1qU+1ZW+88Ua88IUvxPr6OtbW1nDTTTfhQQ96kPXauv/974/HPOYxeNaznoU3v/nNALRb+uMf//j9e2idQtmzB/C1OwR47J82T7W7E7TVGHKS0If7E3fd6qa8qnWDOpS+fhQV1rxV5JGfPiKhaS2DP9WEyUZ8kKAw+AlmaO8s/MitfCCuIlXSd76C1BdxHBiW9RyXgHQVSPsj3K0/shGJS3XMHYgpBT7bj1TxrSRA48K1P6EVNgnXFFVdk+rOzYEX3DlXizlaq1/GpLtltV361E5z4me4nrHtoaq7SZmi1haIQJGMQy643N4fAg9VIjU9od+HIX48nL24tFelbom933VaLgq8ycEVL0dl3fHhFuD14seXoo7zh1kX+V+aUQn0WN4TKyvNtsZExQFNyOXbHe5rXokzJbkxdVoyOjbUn+jcXEPGtUdVIRQ4+CcgJqN+8/5HT8QlMU28eyOp6+uusY/kapIDAZ7BYIAnPvGJl33xN73pTQCAb/u2b/O2v/Wtb8UznvEMAMBP//RPYzKZ4NnPfrYNPPj+97/fxuABgF/4hV9AFEV48pOfbAMPvu1tb7MxeADgN3/zN/G85z3PenM94QlPwBve8Ib9V/phcCYNLp45axcr3THa3TFanTJ/gAOekIRXyOFHRXZ/rq0p1ARFJ/yCShU+rao4aZkP1k7xqycLupdeMdT5qEzuKWzDBwUEeGjSHsHn8HDQQ+3H+Tp9lD2hUqCZmIjEvN2VOAcftCtWpd62EM9GHsPvSfKvXAP7YxyfVKaBbbws/84nMyJLs9g9zQ7QTOZANHd1ZFogrhHbwjHrpaXMaluf1k1MclKZeYDJ9x5aJnf0SpG0J8uE99sYvpEvRM7nCw2aPCdoWwBZH7DQHVuV+46DGe75SF5q7Z2pC9cg+W11wsedOrAOuD7G+xf/zvtS4voRpWkZolcyperimWdyazNtsHdfVYsFElWxHY7XM0tXME5cXnrOJKzSJlWB61CuLlmevwcS0HETZEgKhKIqHb5IDexBz3FXkAMBnre+9a2HcvHd3eWucI1GAy996Utr83mkaYrXv/71tank19bW8Bu/8RsHqaYvp+ZAr4KOxtxi290JYkUEwLElA9ZpcKqCklWJHHx5HIqqF8DzJoEja9Zfh6uAzQQynfvpEaS5hm8njc0IOj8VaS+khocGbsrnQx4mxOvhBEjAH6BDZMmqIH38eA52aJKRpGKI33I7P580R1F5yc2pEyrPvWJoO7WLJIIS4OkDaQEAIxQdtwKeGcJtmZzp22dzO9DH4KauulW9217m35CEtBbA3jRDBxUJ2Ov6vNRu8nuZePmwysdF7L0gT7V6La7LzK2goyanXLMZWgyAfQ+9AyFSMFDdZ6s0oOx9mKVNA2Fa2MIxDNG1oIdP/AR2CIy2MUGMGXrbU+3avo3lXplRYBsr14Be7AALZElubkF5ufN80FNWe3FtKP8MjZW+udX1ItdMy/tr4wppeA7HLf3KuNDf2XLgVsrzHH/6p3+Kf/qnf8JTn/pU9Ho9nD59Gqurq+h2u4dZx6tLKL5OhSwAk6ZBoVCOpKnV3hSmXIMSLlUvIxB+IUlowogQtmcvE1rRh4TU0oCOrdPD0A4opmLO/ELEZNpOYGjE9vOkhHJQ1zdR5v8k5lgZkRjsOx8wuZanyjtEanRCZUOaISrHtVAEskLAigM/ys4uY5solFe/dC6uraoSDtAYYBx3UjsRbJloSHx1ToM4xbbxXdn91XyIBxTSdHCJUTagudW0W1XvdQ0cAg+hMgW0d5MOLBd571mByGpwZJ2pTjMxUVatfLmJjMfxIY0NX9hwsGRj3ZhFUIxMm4Z5ME7pBUVpTwAfPC9blHOzMddOSg0SN2VRHrkIaCVzjPsupxgZs3lEbGpz7b5PtG/zl66gubMogzP+PbQYqVqgQJut2ztTq2WncWkdm5igVWmecv3dN/tKzQ8J3RPvD8TtkeEDjuQrRw4EeL74xS/iMY95DG699VZkWYbv/M7vRK/Xw6tf/WpMp1P80i/90mHX8+qRrAE0K8hoURNIgfk0RkaeWGz8JKgTdDEHINWttI2O5SIHW6m293kERfCFpwmNE1Tty1/odBYEchQKtDDGOjb1oBKtAPnCmahIc6Mr62f5HrEy9D0rJ9uMlCZSesCCPvdqnnINVL9fghz5W17LxDLBOnSOrVP6b+fUCs4n69jEcQMSWnZ1mSBDF0Mbw+jkuW2Xjf02hM2BvA4c5PEJgrxx5P0YsLfTX8EWBtjEOk7jFDZN1KQtDIIk4TGciUB+twDJBLqk4JchE45M2xDiX0iwFTIv+I+xnDcrtI2Xl79d0tuwcBZJyMuNr/Zdcxee+YYH5dTt4MxVfpDDzE7SvWKI3vZcm4Y5b40vBqo0IQTsq4AP9ScCN7Qg4YCKAx86Xwe6f0ObjuO+S2lDOdCG6HmAhy+YtOlb33eWxGinUzQ40IKor3z/+DZZFpq/pLOsT3EMU8/LTLqsA0CuyCzl+jQ3g3HyMe+DM8Sg+FCUKJm0PMR7u1pEamAPeo67ghwI8Dz/+c/HQx7yEHziE5/A+vq63f7EJz4RP/zDP3xolfuKlDwCWDJOJO5FqQruJINmLUtuRwOQ9Cao87ii8/Lfip3HDvJZ7AIaRgpJMrMrtkpyqSQg5+JP04z8MtBgh/JONSP9OwKcb4P0LgmtFA8qIYBTZTKjyQDwuRIRME7aVouyiXUM0bOcjxgzoxHTB8cbGdZ2pi5aMwEaGVtIDv4SfFXdv6l7EZG3VWImqbY1TXAvN+4xReVpYqBjZ0XiAmkCNjo31YlWvH41fMBTeP1OV56bCjIkFZHDDVAPRAIP3767HgdYPPM5fwek5PBBj0xKyfu9QmHfU9LcyHeDc4j079y+owoFVF44gj3XwPD3pgrQkDZUbvNvyAc9ZHbmHpOc10PAhzSxObRXmHJaZC51WuhKE0sNT6e0rWoOzp1nZbNgXmbWLMPMM2qOeWeKdneMsZoE+wjg0pWQlxZPAbKs71Vp4K8UiDicwINXJg3GnS0Hmjo+9KEP4S/+4i8Qx/6a6brrrsO//Mu/HErFrlaJTlxCoxfeJz2hQuRgqZKnhIBANXEuFCtC5yBK7AuqPKDkzl2qIwqPLDlAhBk23bGJQpE4lT+pi6/FbbgWt+IUTmMd53WWcVLD6xtyA2yVGYlWkGZwbU75YMXOI1d4EgSEhIMt/lln4ePHRPBNB7ze8OvNTVV32xlhcM3nsNW/3ZI7LcAxvK0eT5h6DlqrIyMyU7tJLlMojYU0obHV+W5Hr2pJA6gTt0agGDbcPEXPnLRSUsszg47vlCuFIolMc0g+iuupIY8b3cy+VkevnmPrQaZQIFOBTOmqfN5QBnOfH+S/OVQPbprgMW7kNgA2FEMPw1rNE5mmKGTDABdNwIBwyhWplSoihd1ogUYK9x6FTJxceFVkn5fCw0CEPCZDKVS4FMDqzhyrG1/ExsZZy5MhQEztwOMEUUqZdjZGe2eBRijyeOhe+P1QXfYzO9WUjQroyNeKwGbbasRDi0paCMhFIS0a+DtSx51ZlEe3I7mT5UCAZ7FYoCjKM8mXvvQlz3vqq1GuWTuDldVR5X5pspKDM20Lib8qZfbnQpVWvplKkCBDZtxhNcyJvKFeiuT5VNWLf7YxxgBbWMd5nMLtOIXTOLVzRk/cVRFXczhNCE3GGTTnhXtxLRvUa1TbouHCq2S+PXQM4CYaIgdX1YnI08TFuQBtmroVaK4Dd1vTbvMWqNC5pKfaJfimC36/9J0nJiVvtVX2vYtgAtF5ooMzEkG5h6EBrSOP36Bv34+LI2OnUHkZUTYU40Rvr+b0cLAjwRWZC3S5ws95FgA63FxLC4nQNUPmtAnTtoVMYeUM6+Vs6/z8fD+BG9KlhTzCOACjbVmiTTQeH4xrXkhCQF6+R/zRyHeCp3ORnmAckPDyFwDcCqADrHWmWOucATpnlvPKSGS/XnaMfFfDcRScLFNqmLKNHDrNR5LbZyY1PLFZQAJOq5ODRwdPMEEbI/RwkYBf1kZhEjyHZNfkX7yjhRwNLvccdwU5EOD5zu/8TvziL/4ifvmXfxmA9qQajUZ4yUtecqjpJq5GaSKDWoLc9wIqSIhfsx8pcuUlEg2WAVGjXdwLmevIXy2HSZZtNgXa2D0hUCA9krgGImefVZqYEEmxijjMhYObKdyEQQO3JEDyOkrSptQK8bpN2SeRsRNo4BKx4zixmk84tLomkwKX0MSgxJ/kOvBPaLdd4jL4z9RF6ZZ9jdxuCfqMWVJczXmZlQAPl6q4TdL0wa9T9mQiV/Dq9yAUaI5/p3119XPvQ1jrycvQH2kseADDUNBFCXoiUT9Zt7oYW6aAL6T9C2kt8yXbOTl5L9ej8lP4gIIDoZBpVfJvqkzDUpbVLVSev29V5j4mu8TxYTt4LwqlNCHPJ8mhlMCgCuxcSTkcL639Obt8pcqBWukXfuEX8IhHPAIPeMADMJ1O8dSnPhWf+9zncPz4cbzzne887DpeVTJHgiLg8hgecMvgpo6DQHl0AK5eNate5aviZbBAxz+I7QvL44fw6/NVDje3kXBglFnzQ2wzaQ37qeaiELAgN3KpsZAmF2mG4VJlwpITPS/LgY4kSIfi/XAgk4njqtT9EsCBleUr4m2EPclC2iYa5ClQoewSnKhN3AsiNtN1xITSUECaAmlnDnTm2OmPMU4miJFhYlT40l23gLIGJre3nL28ihQZimMiyxWmLzmfqTJo4X2Pc9I4yCAtiwM4uVfObz7fbBzSXMrydA3fESCcdoUfw7VOVSksZF1pWzydI+FEYtnvQloeDtIL8VsKHc/fQb69DmzwPkx1CmVK4GCG+iS9A3V5tIBqblpd2VA5cZ5ddnyutNZzqHrWW1Hz7Y5b7h03T/F+HErPohMk6/xs3PwfkqIxwmcr9x6eLCrez/2e464gBwI8p06dwt/8zd/gne98J/76r/8ai8UCN954I/7jf/yPaLVay0/wFSwFFHYDnYPbe4HyKs4fLOvRNMXTIX6OexH5xOCvOAFYuzOtomU9ONihaY7K035H1ovsBMMJrUP0tMp+fYZOYciBXKuiL+pzUIwpZtrRgcxC+XXK7qMuRYL05uH1Ix5Fl/leDLDlYoAQCOKTA2loyHOMTFTb7K8qThDMth32WQV2SCSYo218Eqo6Rpol+D5elsjPXQCrQGd9gXZ/hKSfYahmdlDnmcqpPTXcmRkD08RqdapyIFU9K/5dCnlJ0fXKwf0VZCA3yQkKaXf2AnZCJqU685QfGNB5QFZpbpUAS6p0d+5a1myWzfwEuxJwS/OUa/xqTaQ0L9Mn9/STACQEzqm/cfA/QjglDB0vY2El7HsI9PAFRIoy+AlpZgMAhwISAmVvLQDIktiGZ9jEcZw1WQDJe/EsTphRo+vxvMLAVi8GKFTHsvF8jvEVATxHsnc5sB6s1Wrhh37oh/BDP/RDh1mfq14yxFipmKXKg61J9wAKKXNwZ8aqgT20jyYcskNTnQiUhTxVaJsEbnQu8tKyU0ISo5NM9QRLqmUODkTE5J3+CoZJz/MC4q6+3B2UT5w8XgbnndD9UT4xXd6poYv+FnrRCCkNvBy8TBE2PUkNjAyUJgfhnG2jSSo0SPNzcDV83Yo2tL1gn3WeO2ZCCmZ+rxBu7qnqI/rSTvsXAkK8nPzOoQqBaL6tnBuMgwrN5iUN0F44B7yeyxYZJD6gohxWvlmLn19yfUK58Pxz50iyGeLpwgc7EmDIZxcCOVXAR26rAg4SQPBr8X67TBT75OCbeyJKwCNNYCEtMHxtjVdFVmeeaoaDHS48Xpm+PB9RnFnVVU+S8IvSM60KIEuycoWc16s0sPs9x11BDgR43vGOd9Tu/8Ef/MEDVeYrQTb/9lqguyxb+hwr6QxxmiFJZyx3VZn8GBI5mNdxJfY6kJOZyk0+LoQ+ECMGOSnxVSwHF/61Zogx2dhCb32I1miOpgAHu5EmZI47aSkOhgQxvI7VmgM/MzgJWdHouInRQm1hgLiTIenMrBswtVmMGdrZWHuaXYDW8GxCE7FN/i4bHVafnDek/1mYsnwbCV9V08DPSc18sJfHSVk2HhHXh62s5wmQKXJNb3neNbrq/rDPzVg8aWgogrKMT8Ozn4eCuPGEizwOyhA9THZaGI/aWExjYMr4cdEukGZopjMkaYY4naGtHDmYgIYEFQA8jYw028qFAG1zwCUzK/mR520l83DRBEgk5XYx1u8CDyIY0tZwLQo3r/J9Ia2ONI2GNC4c4Mi+J01NMiko1Y9fl2twQsCKgAoR6tcArAPzNWDYT7FlAl7Se18nyyPLl02P9tkUGeLpXHuGsfq1oymSzgztZGLiiJ3HBs5ZjzPuWck1yFQf0jLzfl01FklpXDHAc+SWvlc5EOB5/vOf7/2ez+cYj8eI4xjtdvurGvDg0wBzLHHCJ6+0iUW3iWnawbQLoDv1Bm1yty2fIqSG31u5kMhEfVzIjDCzLlQxnI7HaapoYB+ix87rcsy01Rit/tgOByR8QpTB3KpMH3yClZNxiEtSgPIfk+ZJq69DRFM+UcXI0E4m6G0MMdjYwvELIzQ2AZyADgZIpjA+WXGuEFfxh/gX7kG5CYFcyqtI2nsZr+o0QfJP6bxDM+jAkjTp7NWMyE1aVNa1uxv4qQzXb4QAD5nUyMtlC8ewtTnAfKsHnG/o9hxB8KYaQJpi3k0x7wLo7mJL5KgLeWpp4BKDzBDcbMtBD92XD2IK01oTax51TsjjEnBOikyDHO59RyZRMotKbyMJmus0NfSbQA3XAtVxfiR/TqZo2WvaFQ6Q5H66ThcW6Fw61cRZdcKajjaxbr2aZMTuECdKbndl9X4ORCmGeA9DKJWjlc9dYlXTho0I6Ows0ElGGCQjTLqbyNTtFuRwsKObmjTaLhaTjD5OsbZCEci5zDCp3Hckd44cCPBcvHixtO1zn/sc/tN/+k/4qZ/6qcuu1FUtA4QBD8AAD/QgkMKCnXZ37MXmkSIBTpW7bd0xQIg8Gtty3ERA4ff19iiodXJmrv13EzrOZ2m4XE7E15Dnzln9/Qm1zOMBqnkeIc4FfVKMFT3YxSjWFNbVtva9o6YkbQmfbPjkICeYAuXVNjfxUYwfctfP4TxhyAOMS0j9X7df8jIioIhIYe+DD2lG1LcTJh0TBOZxo1wVnHcVfU8wA+VykwkmNZhyCQqSNMM8jTXbWpoUpfYrB5A3sJjGyCLTb1MFpdoBgF54HDUpsXj/iErN2yj0vUoiaWaSXBhufgIrqy9QDXx4WepbU/Fbfi9VDmXwwvk1IbAdie2h37wsA0863o0e43oYWq1OhMLTLpJIE6HeFh77FHLLq6KeTVIgwixdQVQsdOBSwQXiXox0rcKcj7iS/Fz60w+YOUPiJSqdoBUcw0jmGAe3H7bIALQHPcddQQ7M4ZFyn/vcB6961avwAz/wA/iHf/iHwzrtVSer33YWjdVyR1Zm1FOqbM+XcT2Aat4NSXX0Tn9g5urWCdqV2hC6JgXD08RMF0KrgEKbvaA+Ryi3n3QO+iNyZ4wMkYnNRLFUCkOAbTFtQcjzh8eDAXoYmoGF54GicG6kJSq1f2CQrNKOtUxsoePYxAbO6vhC/dM41T+Njfucxdq5qTZ1jeBPKrSCJzMY4CdClVmhpUmBXNK7WJ4QVcE3PdBcUcWHEHF7ph1grNo29gwPJkgS0vRw0YHZIgt6XNvOLHAiUCHNX2WTVmx72wBb2qTQ6em/u2uzVjbVUZ0XnKCRK+j8dQ3drltNzM83dYTuEJBIzV93FyvdMXqDIXqJM6C1GBHZBSWMhaeY6+M61pVbNFC5gt4JlSNXcxeoIkT6rTJRhQBL6J4koAppguRwIWM5URwn/kd98HJnAernGdA5t8DXqDP4muiMJRQXkc+todQPufLHKkf19r2luITe8wKRTmyadIGkeoEoha4m877RO0IaIErRchuuxWmcwllsYLM4jq3zA22GrcqtOLwycXgOxy390KDAVS2HepdKKZw+ffowT3nVyf2Sf0CUdErbQ7Z9TmYMmVe4yJU3BwQhs4KvTvVTA8yKBLNpjDxXKNjLSCa1idLqeX4+SVSV5jAOehKzSifVf7sYI57ObXyeIpqbzxUkUWaCJJJpIQ4OaFR3DYgGyBBjCwMzwGjV+BYGGGY9ZNPYuy/bhiImxiIQI2MlKtAbDDFItnACZ00E6dvs+bcwwDUbp3FsfUvnOeITGKWEiMQ2oDrxI1kMKSljATcRStMC4Gs26Di5na+qwY5P3N8sbTJYSgkdwzwF/hyA8IQhV9N6oihrFENA3QU3JBaP/uPJSiedNrJOOTDiJGsjm8aYbvWAraYGoVtwJjAZ14i0q4MGFoMOto93MD7ZRrau3w/i5FCOK6qfXs1rrYFeFIztOxWb/k58N5j/c6MZKiIRMTzEswH7LMS+EH+nijBcpSkCfNAjTanr0GanE+azD+z2Nc9uluraK5bYTuUL82lOZ3aViPDS3MYyvjemQHMHaOYAigXT3pmEompe5rZJk5t4N4gbOEubyJQzSYUcIVxTOM0fD2Cpf/skZACYwOUHmyHBRQxwFifwBVyPfyzujQv/eHfgCwDOQPfFqmc1rci5eCR3mhwI8Lz73e/2fu/u7uL222/HG97wBnzzN3/zoVTsahUZHZYLBzQzJNDRO+Og14YDFmWuinTFriKPymPsSt1M9FHkBjBKeaH5Q86fSbrNynvh4o4Ra7K8gMrdoBgV8JL6UX0l0ZXfz8xOK8QjSYKTp4oK7778fVUjj5MknaGVjC3ZkcTlnNK5saCAfG1otVat0RzNyBZ2HA1aJdOfDCqoG84JmcZCCSI56JHaf7aK9sqi4rcRetI8T5TbF2hf8czDq2XfVMSBOs9B5K4jtZmRdfWO4eJGAbD109eN0Uq01rHoTjAHgKjpm40lKZg0PAO9f+X4DtrdMSizmCQ5Vwnv5dR3/eP0nSaYYZY2kSbz8sRN9aI+QcRfCYAitp0Dn71IWrFdmgNJE7kJC04aO0AaAamaV5tUhRlLek15U3oVV4lMcQX7ncOFsyAhTSd/J8R5Gjm9GnOrAeXjmDSV14UpoOfq9sfmNnhkJRqXzJiVq2pN3J0kR3F49i4HAjzf8z3f4/1uNBq4293uhkc+8pF47Wtfexj1umrlc9v/Co3dsJcWTcRETOarCQkUSDjAIY+V0VYP2ErdKpaTOUnI/m65QgC62jus3R2XyNEySJrLiT0JhsMHSLVPMES/+nyF3sYEvZ0R0oApp5kAwAKTrpswJuxImu6oDYjYOkELF00wMJcGILdmN6UKZB0/OzPVVWrReFtz8EbeHTr6xhCABrKbWEcBhS0MHCBS+tzt/hi9/hDr127ibqdHziQgeDN2wJaDNtj2DJoYrSsuOpH5k/mzpBlCxjeh67FJh0yeE/OkiWwZmgyUaDMZ54bKStV3yPQggSpPX8G1nSHhoILMv71kqJPwrjttVJVGSa7mQyZlSYql/QTo6bwEgkNaTyItF1DIVAysb6EXzdHgmhX5XnAeDg+OSX2CE+P5+y55OKHfknzMhepxO8I8HPpN55B9ru9+N6C9/8hMpfIFVA7npSn7YZ3WirScfBHAj5GmW/PdArVorrVEETzzGVA2oVHW9DpuIEmGxCYDPosTVvM7hNYul0D2nSwh+sJBznFXkAMBnsVisbzQV6lkt64td0uPdoEot67pUVQEAYjVzmQxhls9LLY6wHmU/0h1TwMBX8UOABwHcBLA8SYWxyPkaYYW4xIBZZdO4u9IH6hQcDVu6+bAKUbmR4qlQYrU4JFRkyuyhzuPB+4izVfRBMHIm6uAYtd0ARJJQhFvl4FMagfiM5E5j7yYhuiVJkbigGSIgVO3427FSD8TpsLfs1cOX+3KgZMmzB1o3kVVfB8qyycSNukQPyI3gzplPyeeF61o9f05XhlpIsvt59pc8nNC36XZbCY0JKTF0zB6Bl/fqG+WuBVl8OVAGZewptLvKyEp3x+L52RAo0KuAbcpS8RskkgVQH+IHuaONMvzYvFnz7V3vL/Q9yn8PsQ1InRuzu3iGkH2/tnjOIjiLvAy7AIPFLoOYAPa/HWK7Tdgh8xgWhaICu0R5ZmgQiLGCAt2lpWn7yQCCDUANFUgc3oEIFlgN51j3JlhnLTtc7MUAGEKI3IygRwiKc+QYDZNriqwcyT7k7sGU+kwpUqVyV9iNIBIc0iIa6KIT6L0wCtXpnGaYdo1oxhpbI5DD0pSw0ODKVPdY+DU993OkHkzlCcJHg1WcopCq3O3ij94d+ETJ6cpEh8EgOH5RJZfRBMMaZYIJEm+CU1kIVd0aULU392kThou0vrQd6np4lqwpMj8Z8EDrQG+mp6bKCKxj69+5TZ9Ybda3mHH0+3TuemxMLf3qCi8iYRU8+6pR6bNKGmiC+oXem5ym768qvxeBiPKPhs/ErFvHgVQOpZEgqtQlBOukfK1f+XwBPwYvjhw549NygENGhMPGOpz0mRZQGsR8rUhemqqNZzE3+LPmTQ/JARC6FlzDUyOMrjh2hf63kU4pQnP4UaEe7o2fVL9uKaSH0f1ZeAqBZBkc+RKm68bORzoH6EcTFHGI+LvDv2m+83YvQS0O177cK1UCt2+UtNlyuVKR12mMA0efyzg7MH3u3EoQ7s7xuh4GzTG12p7royTFnIorNSixr2d464gB5rBXvCCF+y57Ote97qDXOLqFXIvDglXN6MJRJHmHaRANtX8EQClFU0rGaOVjBH1N83uanMM7effqyZ4uaKVGg9aX8ty0o25PC25VXhOq6qa94VPdOSezCM703XI66eNMY5hy9rRZdbuOvVraJVfLpN7Z3bmvTG49V6aLyhzfGs0d4M0TT60Ah/BX7FzMwVNMiO3bZ4B8xzImVasGRkTAZk5+OPhkwIPHNeFA1/m+qRFGbOAf6TOdxN22UNJu+xGSLzt5VGdAKtsd/l8FHvGpNEhnROZKt2x5Rg+9CmfP23jIgPTOa9EP9dV1btB56VAeUP0akEz9R0vlGJ/iFbfpKYoMksGVvlCm3+JS3MBOtgl4Jt9uPaFwA55Wp2A1rycMp8bwO46MOxrEi+1jQ2CSNc4Lf54n6SwCHwC58Cb+twIFmg1IvieaRzY8Dx2I3Y/8tVU8JPvVvCG2ENyfZxMuwT2AGfm58cl2gRHQRCH6Hl5tIbW+zO2JnRu9iLtDqC1vOicxuRfbWF8fRvjUSvoPEGyO7x0RZRBfDy+nHPcFeRArfT//t//w1//9V8jz3Pc7373AwB89rOfhVIKX//1X2/LNRpfhSz1vZLV7KpF6ezmUV7yIgIApYrSIN22UxR3oXUAJhQzJMRrkC9BmLPhwBIdz4Oy1cVGXfaSNXLj7WEGJL7iDq3iyVRA129hUgJbVdfl7cDboKoduIZHanrkpMhNYNr9Hm7w5gMwrTCliYKqwrUzAHZzYDIFJhk0MIYGOq0EiJROCGq1R6Th4StYvqKlFbKZNMmUSPdPbUgaCac/03uIlOuAp3sm0nzke/ftbUgv84QK1q8dAM/YOaUHmYx0K/s8bcnZdu5yrD2w/MSeVeLaq7yd17mNtvHoiu1fhhhttDHBGLHK7DuukgLtdIxWMteeS+SFR9raKhdx6gd9aBMTAZ5rgQunUjuBk0kWANpqjEF/C+v9TdwtGenzkAmWAALXPEnTKAdE0pOwgNePPVAfCs6Zs8+Q7GUWkhyjHE6jqgLnNvXbjSgAZ2K9uSiIIA95wdvOdx6JzTOn+GlDJJihpcYY9OsXX4vmCLft4dYuV/h7cDnnuCvIgQDPv//3/x69Xg9vf/vbcezYMQA6GOEzn/lM/H//3/+HF77whYdayatK5ApCCrfVTxtA1MQiamKKjuP3eOfL0exOdPTYRBNpaWAGYIdQbq7hE4Fc+fJprFz1sr5mmRmIEimSq27ChvWkyBxZUcafMaKVECMkaYaxmqCLISZmcJGByEKreX6fvIxrbn8yDLWHPI63gZv8clsuM6YfDtAyJGibc0T9QnM1+ADMuTx8hUyTBiUY3bQ3i0amNTpRDszF3JsXcIEQ+R9NTHQ7chVuVtjtnYWNPzPARQYAnIeVr+lzmdITBgrqpAxIwgOvn7bCXTtGZvq7/i4j1/JnGUphEYp0y59r2URF8VVi8H6ujysvBngbhbSsXENIcMf1vLDWNFcKRTRHU5qoVuGeMYFmWjQR6AWc6/dpvX/twhRra1/CvPMlzNIVFJEyXpMLpJQmZRNay3OJnbML3ZeINAz45jPSHhJIIi6QBGYhvlAR+KzDxXVac8ABGn5NvujgfLhAmsMiUhYok6aTwM4mjtvkoVXaRXp29IwLE0F5GUjIsXNFAM+R7F0OBHhe+9rX4v3vf78FOwBw7NgxvPzlL8ejHvWor27As0zopZcTlZ2YGq5cBCBtYt5tYvv4KraPzzG7xzlEqrDaHWtGMXFD+Cpc5nqRngeSk1E2Z/nmm1BMChrQB9hymcgpiNto7tTXXGVNE69RV6epdn1djbbLPAUm0uVVZkEmqfLAIDX0Xs1goW2hoIbUdkP00MYYI9VDa22M3trI5eTipGW+UqZUA+fMXwc6fYWZBJoZSgHo57kGQU0a1PlkInkPXLNDk2MKNDrAenIBeUffIz3HKg4U53Y5EFyt3QnlGZLhBuTkwbV0FC2XUjjQuUOhF2QYz9DzLT8vB2CciSoB0CuBEU6KJ4DPwV8oeSgHRpwDFrN3iNqJywwJorRA0pmj0WfPlptrSEMSWEBYYH2aHaOMGRQLWLIu4ANkvjCJoDVFqyibmaRQXc4tKXe5Is1Zof2cJ8nbivg7JGx8yZUGmRzoULb00ziFc9iwpi0yXVUtBCTHj0y+VQuDGab4+MFaY19ypOHZuxwI8Fy6dAlnz57FAx/4QG/7uXPnMBwOD6ViX9FCk96UfYZs44CLJWLAz3jUQtZ3yxS3Yp156nmu3tflnIeBHNClGl56ZIU8c9y1c6asZx5QReG7ooa4JjDbuVlH2uuZWAOo2UccgWbpXWQeGNECUHPsptNSslIJAGWbVAV6lOYwHpFXSpEoFOs68GLSgQtUCPgETOoHpOkx2yNxb3PeNFx7w1e0XMPDy/KJbQdId6ATJ2LMVPMyanKYB8Yn95BIbVoodpRfPd8cSaWKwHWkZi9GgplhG0kj517AbFnL5z9H6tP6O2lQZ7Y9kooJjmuSpKZwT8LNNKTt4RO6PBV/xvw33y/PX/W9auTnGmoJlvi7LoU/AvmOL9Pe0HUj9lklEatXVVNLk5vdHIECcWrmVctyeC5igFlhwmAo6lsTc0l9wzqy/MQDPnVa0IyN13ekHMXh2bscCPA88YlPxDOf+Uy89rWvxTd+4zcCAD760Y/ip37qp/CkJz3pUCt41ck6NEgJCQc6BGKkW/EhsdhoYCVCZgGFHqr5O/w4vpqX3301v0tF4ee3HqK3PfcTJdbZ6EkOcu/LeqgZvBvKxOZIpkA0BdJtn98SGJApamsRaVMAkT45GPIv5U+2UVFY84HKy+e3WhdeD/6nDPkz0iYsQAOgVqp5PJ73F/+jbXxCkZnYASCnQXpszYd1A7SvmeDm0WrOGHcnrxOaNHicm2VCgDU2cEeJFbhCYbU8BxWp3aHYTNTPqe9zLQ+vg/T2a2GM9s4UiYk0XHovGCC1PBeeXV1XCuYiTqgv8YUE2LY6fozsg9yFXV6DgyrS1JLUgSuqLwdTknNW9S6HwFLdfSi4BQB3BiDCNLu/ZgKs7UyRrJ9GnGQ2/tZxbJoI647/NFMOCEvTKCfBSxpAlUxLDLAjubPlQIDnl37pl3DTTTfhB37gBzCfa7plFEW48cYbcfPNNx9qBa82STYuoLEaHl2KPMJ8GgPTBBg1nEs5ScgkAez5KcjAZ6GQ6XJ1XvVCSmATLpNbdS5NAANsuVxTHPCEYstwzU9IE7QMAC13uApVuiyyfRnYSFMAyUL/pfNwSHugeuIQ27lZrmHNlqwsBzJme4tFy40iDXYaKZYHH+QTF5XnoKcA2jtTFB3dCbWmZ1gJYELcJ6nVWsaZqhMOFlr2e3U/5ZwdCloYI8MEbavtoXxf0kxXXYdypyPQ4rJw23zu1oRLTgTc5JtkM8TTBZo70PyYbZSzpYe8k8qVkhXygesyzV6V8H7KA1byHFq8n3PyMb8Hfi0exydUd35OGRxz2Ti3DLfKc0zZZ4hcTcd0gM7pBTrdL+O6tS9jp7+CrcSZsXgsHi5S01vWFNbL2Loi3LGSQ6FxmRqaI7f0Gmm323jjG9+Im2++Gf/0T/+E3d1d3Pve90anU84x9dUmUbRAoyK1AaA5JYsoB9Kmb5tf9tKbfVVpE/hqmwZtCXakB8qyFcgycedkf9msrMkKrWSrgE4otxA/RspetEJ1ZarU/DQYE0DgGhI+UPPjaBsnnKaiTJ2E9huzVkRmvMgEcAtphRT742BZnpdNkEkGzNLMW73y1BB12Z5pAgjFZlomVaYz+izHyQl57bkJRgMbX6ukSclk0q3vKHXvAZmtXPqJmYn5rXN/kcYnyWZWm+fFnyFSOv1dQD3gkZpHCTz4s+WmHhJJ1oXYxx+X7EehfFUk/BpkXsvg9zHe97iWKaTNkdfe65y611mJa7ambBs/B28r872TLxB3LqDVp9heLvKyO7U0+juOJAf59dU7JHX+EimgsHKwqdw7x11BLquVbr/9dtx+++14+MMfjlarhd3d3a9OV3Qm450WGivhXFoAS1gZ7QKpCU5FPJ2Q6tkGENxFevyiCRqoI1ZR9F9S3XOvE+LbkLq/xaJcVXnYhLQ6ddogTspsmb94uigPdDwCLAmtRkMqd1JJc22XPJ6fA9ibtodfp4pTRNfhOakofkeVCYyOoQmCgA43MZkJpCHbgCbDS3ABJPn5Ek0wbleZAWi1TQDzEsorWQ7CSAu0CmAdaPSB1f4cq6sXMO/Ay1xdFXKfXHRD7t9awoBprytgCYD09/DkQH1cnzfyystM7SGpSoXh18fx1EiLOYBOLruOTQy2RzqeTYiUzlNEbItPCXg4X6cLXzPXhw+ipamJu4nvwJnCSAMjtakcLLnGLAMX2Y/ke0D1m0ITnWXaCzqu7hqyDIlc+IQWRVLo/MSP4zw5HqaBmwcDXKdmARwrpkg6M2RJOaExjzdGhqwIhecQsoyhsy8+15FcETkQ4Nnc3MSTn/xk/Mmf/AkajQY+97nP4Wu+5mvwwz/8wxgMBl/V+bR2tzvYLSo0WdzlPMqBgR7pVozWRgntjYpym9SzlYytJ41O+VCYuBGF1e5IDxHuHaIHfO3iK+PnSKAT8sypikJLwIq4CU0ZNZUGFO7eqk/i9vEBVJr1AD8uiNeebHvVSlRu44P+MnLjXoVPBBzs8Gi3FRwazy39EtxgTkCLgB8fPflkR21NcXjkfqofTZZd2GzYWIPmnJl6Njsux5m+pwUQzYHOFLsdzWcadro2qnXMVr51Wp4QQbhO9rOalDRxmoraCOdBAsJmN7pumTydW+1O22hzCOycKk5j9fRce0RtosxVk4H2+N+IleWAh4IIEnDuwAYQpGe12wHGHeeJWDKbbUJrkTbhNBehvq7YNglQuMaHv2c8QnSH3YN0UPAbvPxdlpPvYAjsUF+X7cbff24q4xrZhJWTAIzc6eka5q/RBTrJAp1kil2mqaWcXJSRnUyqFM6AFgYJZrV9uc60epiiNTyXp6E50vDUyE/+5E+i2Wzi1ltvxf3vf3+7/SlPeQp+8id/8qsa8NROoLnR6DDgs0JZyhm44UIZzGX8D/pFMWEST33vvErot0KBCXvBIguTylwJfTwdq+x2Opc7b17aZgr7fynKKQ8k2OHf69oxpLqXA6rkN8hzV727lc8tcE0u5GUmzVc7gbJ8cKbBu8qMJ81TVcKPleYNqh8HoJQKgBNPE1GG2s0A1YZsVzjAUKW+P6xBsk47s5dr8HcG0H25DNB8Pob/3SeX2kVBXviTMAEewPVf6cEUMuFS+VSUCd+MIdKz+kYLNLlJMxKf5jjv+Ubie+h3CDjzRYjU1IT6MNi90r6QOXuZcOAT2i7fq1C34FrjqmvIBYm5twa7J3vbeQGlcoCZdrlJlSc/DsnsCoGII8CzdzkQ4Hn/+9+PP/qjP8I97nEPb/t97nMffPGLXzyUil21chY+EZmEDyhpQ3N4oiYW6RxIZ1CRAQ+k7VE+sNADtHYd1masutw/TjvjQudnXnoEIlhytSp5F1CskVCU4RC3gjwUhp0M7c4E7WyM9s4CDZ7tuUrNHVKTA9WgpG7wBMKDLY/yyhN58qiv8lg5WWUoT16hwZdrY6gcj2Ar3yi+QiaeQco+KUJzaAW8rC14nfh1uXeXMW15ZGf2THZTrU0YJtIPr2sdcOtiE5X5OQ5Y+7dTBhx1JjBuMuPhBWTMqTrtE9fu1BGrKReWQoEehoa500KWxOikU7//hp4TgX75HHkuLaCsUaEUEzDlLgDoAGkCpCkjvPI+Sv2a3jvqSxzQ0rWY2dT2Nbp9CSCqzFKrbBsC36vqxhPpSqIzP1Z+Sh5TLn6HNDuSkyTHGNIIdeGbDc37QN6agDP3Zkls+z/l1Bqx94P7blWJ9tL6YOX+I7nyciDAs7Ozg3a7zGM5f/48kiQQ6vKrSTZRjhRHQgMf/XUBRBEWlEvHaHNCtl2bnblQNgVFkSvkgXQUAGwG9li5jFMyFQVPdgjAC6KlX9sRc78dM0+UMughQDTBGOOkhXYyQdLPdPyZTMSfiXT+mlm6YgcOytQ9FiTBELGVu/xy81tociXCabsYo7c91yCMcyk4oZprjGT4fG6G4OBEkkDzwDnkKlryL/hxtJ8G3T7Ck6hU8UtTYtXKmU903LvLmLnmiePxFJHCWLlEijy/EA/GRoBAV70MhknjWJWd3jVFNRBxZXzzWF2AzSoQU2fCkiCLu7YT4Bmih4FZBiCZugmVmxVJuNZPaljIlCKBCHHYqI9l0OOK9GqqE66JqRpy+WIjFZ/8HIDPf6H+wwDFbqpNPRTNmUTlRdjkVsCBHnq3JCDk9yh5RHI//eb3wL0SOeCR3CEJ/My7sZtqoDNLm8iVbwal8Yq/FxSdmUZOGnmrZFY5URyuHHlp7V0OBHge/vCH4x3veAd+9md/FoDOmbVYLHDzzTfjEY94xKFW8KqTusFImnqMrDAzVlEooyZ1QkAH0CCHgE6RRyhy5YjQlhBdYCUqkE0TJGmMWTpDWzmCHa09yOYM6IFdk1BdMC1nsHAZrAGtCSIlPwdO+rebZqA0iMvzhb7dyFWziCg7sYZgQ/Q8jUHVYBEGPGWvHhI6U6ZiZGsTtDtjdJKFn+lZusxzsLIDZypQcGYqBZ9Xw+7PG1AlTyGkBQDKAz1fzUqAxCdLqrtchfP68EGer+a5K3sf2OmveARN0iY6SnoLFJSNArS5fEKRqarT4HDgSV5T7jm5vhfSskjAUsXFoevKqNn78ZYJE5XDpH5eV0Cv/hvcdMvbvsq04k4YnuRDhGEg3G+kSDBQdesSQNRpqMD2cb4RuyaBHUnwVapAEWWIijkaZPqVoIPOX4jfobqG9u/l916ELQTmHWDSbWKs2qCgnBwUc8DD/yZWH+4WblUyx5Vx4FmY0fxyz3FXkAPd5c0334xv+7Zvw1/91V9hNpvhp3/6p/F3f/d3uHDhAv7iL/7isOt4dcl9UR14EDADzC4Q5RaYkBmLNDeTvA0VFSVNzmyaaHAzTXQeLu7Z5WlQmlhEwCIC5imA7i4upBma6Qzt7hhx4lIEAG5wJ+0PaXT8IGsjaw7jk5kfWn1ijyPPsCJRiJNMu6sboSB+lIO8PGi0PPOE33y+JkeaSOREJc1uSZIh3nAaLsl34pnPe4UOoNjgJFCKL0RACShraaQGpkDYbEb9gX/yya4KPBPXIIfvHhwyt1HZLvzEkvfUf9NrgbOdu7EAa63SwM7TNdAzc3rDGGXOi/ukcPwh4XnfOMglM8HE9CqaXCygKZRn8uXnc80aJoZwbRNP91COiFx47wW9E9wjbIgeLq6NsZYbs9YqfBBcp4mTPBYuoWdeNxKH+k6VNoMLvzavT8jTio7n5He6JjTYGSY9L4K53l2gpcbI1iboJSOk3BTFwR5pZkKgru7eQzwjOj8tDPj9hcxZZNrtAzunVnA22cAmjuMsNmy0JbovfSoZQTyc2mSZV2LOPGfvSCkOQcNzxOGpkQc84AH45Cc/iTe96U1QSmFnZwdPetKT8JznPAfXXHPNYdfxqpLkVHXgwWWSV5ioPKDDAxbyODehwcmazxpAN8U8TbHd7QFphpWoQJzq0Zli+5AJbIgeehja7DAESgjQSMAhgU5IioSnYEhKKmH+GTKVcAm5z1f9dtvLGiDJK9HNVjj3Y7WF9bXzOL62iQ2c1QEVz0EDHwI9Ic0QgSHFytAkMoUvHNgkYhvnc0heBH2GJs6Q1oDMVgR27gVcuFeK23AtbscpnMUJF1GWPcOQR1OduUiXDaflkNqRqhXzFgbY2hlgtNUDzqfAFvQf9fVQ26UVnxI0pnOsGODf7QxxzAQOVMjRQo6WZ/bVjUiAXufOyrw6D9FDtF6gF83RqAI8/Plkge28vGvEMHjlzxjwtR88eGUqfst24PWhiM4SlEn37wjOMwvmvAVxXGILhilsASXYtUlhO4DKR2jyc3MN0l6isS+T0HtCZuUQ36eAbZ/dPnA+WcdtuCe+gOtxG661+bR4Li3gcABAjpXlhY7kisq+Ac98PsejHvUovPnNb8bLXvayO6JOV7UsCzzIhYObIg83tTVZ5Qo2sSjgD/TAEsCD0oBHWqVIuMSHVsYht2JS75O5gk+EGWLESCxXyE2N+ljO1yGAs4l1G7+W9EoyuqkSVyqlcqjQ8uhtyjPD6c/y6Eou9o7/w7KE92foZAufiCo5OxSIjQZT7iVWZdKSJic+aUnVP+C72OasDJ9A6PpUXp4nB5JshiSZoWXSIzi/vTCZl7Q59EzqYthwT6gqECrTSBSIYFNddBLkucI0V7BZ07hGkwPBEPCxf8Yj0jgFrKQzxGmGVmcCSowbm0CCjpzvp4lw/LeZ16dtUyqFLJkjrdLUcOCSit9V/CyprZPPmX9WmSzpuwTPdB0ZNJDXFfA9u+R+AvFToLED9NQU6G8ZDZpzxyaNWhsT9HZGaF6CnyojpElaJlXleZtUHcfLCM5eYwovBAHpnKm/8/siCXHNlml2rrQUWDkEDc9dA5ztG/A0m0186lOf+qoPMFglcTpDIw3nSJEmKo+Dkysgj3xQQyJXWV34fIFQGfqMoFMiRAWaxhsssq7wTFNiyNJOre84O5xrkcNPMKknQx1wS04ERCTlXmVEKiWS31mbmfga3G4yFJ/FCWxtDjDf6mnTHdx9NLsTtLtj9BLuL2Qi3ZoJKYEk1/hSNQHTvgQZtgwIGKJrgNgA55ItDK7dQu/aIXrZEPF0AWpCmxeJR9MlExhNRtviYlyTI7k1VZ4lgD/pyNgkkoANOHMBWB0V0CkWuN/GF7GxdtYjWgKOOJwhsaYlbnYcowWFwq7mQ4O7Npn6CRSrgq1xk4DVFPTbGPdbmF3n9i2bROrIlTw+lSbmj2yaCE7S56ZbXWf/OCL/U70nKFB0IsyMxlTlNf0rX9Tsg4vQLEnz3NMw5O1F2hcyN3WA+ao2NY2TNuM4KQthY8zQzsbobC9cvyVicYRwWAWY62/CEf9PA80UWEumWIumZXDN++aI3RP/LbUvEPcotV9V9eILi0J8D3UN0sRu6s+TxTbapz6NdaVzaZ3HuuXmcDdzrpUknluIg1jXH/MrSFquJ5Pt9Rxf/XIgk9YP/uAP4i1veQte9apXHXZ9rnpZUQVWAvwCEgd6DNiZxhroTBv1Nv0SiHE8IMAnPgNOY0MAh7aRJxhQNuWUjRU5QuBAank0CNIDgDKRn4dwAwPnyZCG4DzWcc6AnS/genwB1+PzuBe+/Jl7Al8A8CVoM8bIXDQF0G1iPmhi+/gqtk+exMrJHayf2MRxnMeE5TTiZGxe370KcTvc+l+v+2iyb2OsA0EmbjK3k+j2FM1zcNoZGnRpRSyJmTQ5cLDD/wj0UHkJdijKLfcIk9oDug7Mth33uzEC1janWOtMsZt+2XO/JS8tbnI8j3Vw06RC7g3sEiRwTRw3E4Xc0jkngkewJdNmiIBcR3AOlefhGXjUZPretqYrngjUvweCX5Hp/xl5hynT75SrG78/UwFvscCFexXGyNDemSIlUEEggfcBruEROdV2+i6UAE3G1B50Py2YhcPGCINkpGP5AOVxSI5H1M8IPMtZQr5u0iQn+6cE6HUi+XLLRBL+gbKWlcDdBf1zNZ+j1/8S1tfO4xoGdjiHhxYC3IPxIvNidH2neuxZwVHy0KtNDgR4ZrMZfvVXfxUf+MAH8JCHPKSUQ+t1r3vdoVTuapRFobBbLJ9gKe7OgoBKarQ7VSreEuGwoTcaU5hdN9J5ASAqUEQKhQlsWK5EeVMo0Jq+fFGaUvQp3CeBJP985RxfBZRZYTrV8To2tbbg3goX0g1g0HS8DcB35TdpNgb9LcvBILBDWp4qCamb+eolQmEAU47YmOZ0YsoywZl7JlneSh9Yy6Z6MuhCkyE5Z4F7d3HAwycbMjUU7Dvgm6m4NodW/ZIMC/abrkFBBuUqvAAame6GujkW2E0XUJ2hBVwZYvQYAKQ2lIH8fNgRNj/K4xw41lpGegZUPpzCokwg5cCHB9YkPgmHQvJPN7G7Ej1bEv/Y3PYH6S0o+4dv9qg2fVCNbTumBYC5Vs4R2Kny7CKNYKo5NeQazp0T9ITtHBU46JylK2h2Fu68RE6WHCL+WcczCo1hoXLA3kBMJD6XRTep0xQVFfuYKbQB4BimiPoFEjXzPLUI5HKCuzuFBqxDYwav99K6MhqeAhEaB5vKvXPcFWRfd/nP//zPuP766/GpT30KX//1Xw8A+OxnP+uV+Wo3dRW5QqMiNg4J588QECEOTxE4tmTysoNKSCtk+A4RoAMbkrfWrkdWllGdVaQAlYGSVNjtcHmE9hJ8kLZzfoZCGWTEmGGALUTQsU2uxW24Hz6DoephfF0b4+t8bw+6lj7WeYrJ1BdSIxVa7YdcmLmGwvFYIssjmhn19QQtj9hKbcTjF002NjHob6HTWTjXb+7dFVo5U7VpJb8JiFupnkRC36VJi1bkCZxL/iU481kHPh8EOiN7p7NAp7+Nwdo2Bp0tbGIdPYwYwbwbNDVVg50wf4oAC62euXaHa3n0barScX4AwtjbzsWmQWHGCJcU1M8xJ13sSfvCTVukiQnFmqKAdUXk4k05U6HPh5LtliDDUPUQdzIkHdMKIjmp1w0UUJjRmoLjEUjXMdbDYxL19WHSw3ijADbYfRdCa8xj6vB0KDJHGIFxKVV9FSj3dU7GlgsDuUgIXYNrQbnTgLwWmXsTU/+++ezoHHar/TlWk20/PlGk41VNuk0MVc/T8hDxX3MQY2siDsl0ien9sGQRWCgc5Bx3BdkX4LnPfe6D22+/HX/yJ38CQKeS+B//43/gxIkTB7r4n//5n+Pmm2/GLbfcgttvvx2/93u/h+/5nu+x+5/xjGfg7W9/u3fMQx/6UHz0ox+1v7Msw0033YR3vvOdmEwm+PZv/3a88Y1v9KJAX7x4Ec973vPw7ne/GwDwhCc8Aa9//esxGAwOVO+9iBJk4aLG7m9d0qcA8qZb1RN/o8pLi0wlKQw4SrFI55gBVuvDs68XKrIrYncaggOOxCsnrtDKGSDtTl4xGWrvLj0BTTDAFjZwlk1a5UlUTnjLSIIc6FAyP25OkMAH0OvfWAxEHkHV1E26LyfI4LloJ4DauOATWRWsZ4s5mfvjJE7O39iL58oykwKVkSYFmhAoaJ4ktpI7ew6kOTDY2EbRcZoDDfQyy+Ph7RXuH752h0QSo0nDIz9Dz72AMm2fWI2RgtPSSU8yDqM4AZnXV2pq3D3l7HkLs1PA66gR6XabJwv9vqmC1duZ7Mptl9v7VmjZa6mkQJSEgb073q93UlRPqrny272ACNqoRNupDEkyQ68/xCDbQmdz4foVaWLJZLoXM9Wyfq3YJw+MKKKBW+EaJ27iLdg2qX3iCwF+LJkH6b0gDpwBW80UaCZz9PoXMOwPcVENLBAeGS/XZXF4JphX7juSO0f2BXh2d3e933/4h3+InZ0q5tty2dnZwdd+7dfimc98Jr73e783WOYxj3kM3vrWt9rfceyvmH7iJ34C73nPe/Cud70L6+vreOELX4jHP/7xuOWWW6BM9MynPvWp+NKXvoT3ve99AIAf+ZEfwdOe9jS85z3v2XedL336BNBdrS4Q8T/Nw1lJZzafFgAPhJCoqADSmTaBRYl2NecTWJUZTKqCp00s8giLKPdfN0NqbnfHVl3sBvaZXSVy0jKZqqgsEZj9cnvvQnS0Pl9uJyzbBii8ARiAATO8PmWNkC63txVKaCJZdiwHVjSZZYgx7qRI+1PfrCQ9uwh0kGYHCE8UdWbOnH2vAjuR+E08RhYtV65irakksJqO2N3GyErPORSAUN+aNm2GSJDVWgjdm/i1cwumHU+MfieYWfAZAts8dQppeQgA8fqWtZgze2yMmQM7VZnPDS+rCWCWFihM5nkX7qFlAQ/dA68j5wxRO9elk6E6UltIjRDPB7UbAcDcaqDixCW8lNonelYWePEOSn2EUqDQ7zqwIx9z3RAh+y3gLxikhMxs3Hwr60b7mEnQvg/S7FtbTddHZph5GuMqwm9+hQBPYV/2yz3HV79cluFOAqD9ynd913fhu77ru2rLJEmCkydPBvdtb2/jLW95C379138d3/Ed3wEA+I3f+A1ce+21+OM//mM8+tGPxt///d/jfe97Hz760Y/ioQ99KADgV37lV/Cwhz0Mn/nMZ3C/+91vf5X+bdSHcrc8FACDBjBoYjFoYtEF5l3thQT4oCeKimBiUQDBbWQWy6YxijzCfBr7wQqnDacpsivSJubdFNuDVQwHPayf2NTnNwNtbFT+BGo4yAAcV4dMWHrSJ08dUT+hmaHr6E9dITpOapy4aYogzjIPghzOM8U5XdOU6ROwl52H07nlPWmPtJY/wW+M0OuMkK6hnE2bAx0yCWzai5U5Oly4N0oEH/QA5TeXD+w8eJz0CpOAh+0nUwkBgJbhIIQAj2sXVfoeamdpdtTXya1DMNlIaH/MjpPnl5ogvxlcnjkCLwTqKcYUN21xDR5lS+9hiGMXpmjQ8+Kgh54tkdD70GaizgJ5oiNXuxAMAxvEUdZP8oN8rpAzKeu2cKljbNDQItP57HiQTKbsaRjQm6YAkoXOCZZMMe24LOBV5t4YmfY2i8z9gd1rXdDCOvMUL8cBCyfkc3f2vWqRuKa7SjjwDy0AQouJXJdp5EA8nSPuaJO242MVmAXc2LnES1VchyNHgGfvsi/A02g0ShydO5qz86d/+qfY2NjAYDDAt37rt+IVr3gFNjY2AAC33HKLjQtEcurUKdxwww348Ic/jEc/+tH4yEc+gn6/b8EOAHzjN34j+v0+PvzhD1cCnizLkGVuBLl06ZL+8jlUtxqBnS6A4/BNURGAVHtuSYIxN3+R+3hV7ihAm6ZmiBEnCWZZjDGAOcUz4eYweX3zfRG1MemOMe60TRyKBAUiwZ3wNSoEg3hcnpA5ix8fAg7Se6cKiHDNEt8WKq/rFn4odfv2I3zC5pwfhQLoAEU0RjtaaPd1qjKpzK32Dc685J+8rIYv4Hte7WWVzD+5lkeaCgB/UookEdY9vdgYAcNtEnmAuLx/f1o3gqj+vvKkUfc8OeAh7hXXooSIqNyUFaFAks30c+RAlU/GYJ8JPKBBZiyeaHLmAZ4CEpRx01bINKjLxeZyGpgBLFQC10DxvpLCmXOMGScFoPI5VFrYNBGkXbN1M9ye3chojTj/i0CI7K+iP9m+ZrbvikfWINMYua6b4RWcjyNDMPDuxPu6EtuqynCAU8UR4mKAmcrLplseoLJK5lcI8BzJ3mXfJq1nPOMZNkHodDrFj/3Yj5W8tH73d3/3UCr3Xd/1Xfi+7/s+XHfddfj85z+P//pf/yse+chH4pZbbkGSJDhz5gziOMaxY8e8406cOIEzZ84AAM6cOWMBEpeNjQ1bJiQ/93M/Fw6s+B2oXk1QELBu6G9qTUoyYzrXeoSJoP6KjwicGWJMEh0ddJgrLKbN8hOVRMIcwLSBbJog6+gYOi1DznQmA38FTJ9yMqkiElcF/OPfQ5ohIOxdVZVckn7zlAUUIl7Hy9DqewmSZKoBImv7JpCw2zLdWw5lI7POkGCctKwbOyeFtkZzHYyNgw0+adCfQnlgDwEYvl1+p8lO0jpoEpEcHgJBufZaaak5sj61WW7btyrBpwSBXANT5V5OJh5uVpEmQ5IqnhBxsKQ5zTexxkxv5OpKIQ34cQl0jjk6d5bEaKdTl0OL2pCeFee1GLftFMA9N76M3pr2SLwWt3lpVEJtwduKtynp1+ieKCAeN0G31Bi7qUmWW2Xm5N8ZsKWcWJzP44kCoo4G8vJZhIQDJSI+RwUc+M98c5vXlhz07LDtoj6V90bnI40o3y/5dfSeyXNJTRTTGu2mmrzMo4TzcSbYfkbGV8iklWMFu3tcXFTJUeDBgDz96U/3fv/AD/zAoVZGylOe8hT7/YYbbsBDHvIQXHfddXjve9+LJz3pSZXH7e7uepqnkBZKlpHyohe9CC94wQvs70uXLuHaa6/Fqf/0T1hZ7e6p/ssGCfc9tOIr2Pcw4KEVpEoKYABs5wqYpv4Lz196pvmZb/UwSjM9sEEPtDMkpcner7NPSA2X0duo7qSqd6DCeYJJ0CPbhF8rdD0abHhwMJ7kb4geKHiYnEjJ1MHNGAR4eJwWCd5I00Vxe4foeXXj5RM1Q7s/xqC/hfW1C0hPo6w2p+K0mg2BmWVAhwsnlfLYLnxlS8eT6ctoB5oA2ukYsyTGhGlupMs49T+ZH4sHD+QTAT/epxQTMA3H4SHgzZ9VS4BSHkDQmRucKVSHIaCgmS37DEkIULSZuSLBDO1kilTOIRL0FKbtLgE4DTQSYC2dYq3zJZ8bxZ9jCux2gGG/iYuKogQdY9npW54ZjN4TaiMCZW20dR2rTEeA/8yNGSdLYD3KZOwZABaQ0nPxFxHlSd7G+8EIPTXEujqP48km1rGJwfZIx6ziGjK5AJPaHKnV2esMtVfTF/+tUPtuVD0nyr0lzZVSrpSXVrEnddVezvHVL/u6S04evjPkmmuuwXXXXYfPfe5zAICTJ09iNpvh4sWLnpbn3Llz+KZv+iZb5uzZs6VzffnLX671LkuSxGqyuNwdX0KETuAIJ6HBnrYD8FYEUk0ae9OIS4Lom3b08W2zYo2RIU5mWIkKLEIvdkjLA+0dRsp8moTqQAyZNqqAHJ/05aCYQyGGWw0mYrIqn6Os2pfXpgmUpwTgwkHOzE4g/vUp6kzE2p/XrcpkE+KrlOP9uJV53Jkh7YwcZyYSf7zq/PntF+zI42g7XSNj+6k8mTymQDxdaAAtJKSRII1JRtpGAXpy0f6k2aGJgieR5eReEloAZIjRZjFNuAlKDtQESKnORLEn6rPeXgbW5DlltU/RChAtqhcPEviQx5CcQKUZpgM0+sDq+hxqYxNIKJqzButkWnZmY2XaQseMIgNdDuXquEfRZssVdo3ItpO+JWXBDtWHR+CmSZ7eO8AFehzgIo5bs5sJ4RCNdBAN6necA0VtKEnIHu9QlN+rSNLyfsU8Px0thMZHAvYta84mkF8FFihy8x0tRxyevctXFKzb3NzEbbfdZhOUPvjBD0az2cQHPvABPPnJTwYA3H777fjUpz6FV7/61QCAhz3sYdje3sZf/uVf4hu+4RsAAB/72Mewvb1tQdF+ZIQuVG26dC188pcamrIJyDdd0SpOTrj8ONpHxNIIBZITGYaDHsajNuajFjBt+gNzBKA7Rdodo92doKeGlgTZNakbQuYsDrwIFBABlMCZvGfOndBBA8sr8yQAUmSMEArjTyH7FRsACxrATcRgHgqeVqflYHVhLVLIhCeFDwpS46G3cbNPZNuOyu6mOvaNF3WZ3H1pcD/IGymJyHWAKGSiYUTR5iVgEG3rRJAo0MbEa0MAkBoamhzbmHhaAF8jNLMTAIFPbRZk2dmzGNlUlyESf5xQVOyhva4GS2OMPd6L6xjLAiPqJnPlZ6b/6ol6gjbaGCdtdAigduGAYtUELM0oNMmHeCcAkAKd7QWyjaEFilyr44Fl867Qu0kaxmEyAzaG6CQLn1DMNUpcwwP9HrUxhkpyFGbs4ACRgnACWttDIQlmiDEyAIiHKdB9ZGzbPcbMJSfupEg7U+f6nbt6ePXkmh0y7eaiPFhZiDJ8Gy9Dbc44THYftU3IzGXO3cx0Prp2MsEMQ7ub+gn1xyqZVJjtj+TOkzsV8IxGI/zjP/6j/f35z38ef/M3f4O1tTWsra3hpS99Kb73e78X11xzDb7whS/gv/yX/4Ljx4/jiU98IgCg3+/jxhtvxAtf+EKsr69jbW0NN910Ex70oAdZr6373//+eMxjHoNnPetZePOb3wxAu6U//vGP37+HFoBz2MCKMWNwKZMMnRssV73z8PtcQoCoTmNBAw1phijWTZbEKJIIs3U/rkmIdCe1SZw0ScJdfKtC9XMzFdXNnjObaW8SIlaOUJ9YsG7wEmV1CMYFEC2wGm2HCYkhVb/ITTTvaDv9WDn1fcjtuZ7P4pt9FHT+sRgzw5MaY9wZ+sEK+QQltd81973vVS83D8jVMz0LlgcszYET/W30OkObp0lflnpHJIxLLXSNGZHnGpIT6RgtUAJRIvNO0HaZ08nT0FZEB9NMu2MMuz20lUv4SFeXWsIQ0OFmYRdM0gEf7m3j3qcx2v2xTiYrQalsf95XubYCbDvgJl422R+LppitbbHr56C4Q7JOVPccymiDlOaObcxK40powaBy6ACKOwt0MC3dx24KjDtb2EoGADSwJbMwaXrOY71kcqOYNI5nlFlo2u6fQcrvOfR+E7AJaXtkG9J2eiY8yjk3mfF+zrhqJe0qHzN4HZU+X3tnAWAIlVBAy3HJfFslOwdST+1fFoeg4TkKPHgF5K/+6q/wiEc8wv4mzszTn/50vOlNb8Lf/u3f4h3veAe2trZwzTXX4BGPeAR++7d/G72eAxy/8Au/gCiK8OQnP9kGHnzb295mY/AAwG/+5m/iec97nvXmesITnoA3vOENB6pzVWqJAgpKOaduMuEAsPoFSfY9DHGuvU7VX0AHawt5SHHip/RmCZmRqO5tu7bjOYouWu5LjMwbZOPpAk3uYjpi33nQPS5VA1xov39jvEH8bVW8Bgq6two0+0AzmyPubEN1CsPmKOxEry+tQB4txA+pCzqmL+UAoFdXGmgVfC8faZIKdRGpBeK/q95mSciUdZHnzzXhVCULJFEGKN9rj8IRkGlkhpj1LQpc4D8sbgirFIos7v1WNi9drvTZCUi61bXfkZxmhCT2vkuzKJlc+R3MkGivNcXMWqE5gWslqE2rwGrBPqmdc3im1TYmkCYS+V7yhL70W5qjI2WOUc6EaxObhsxHABoFEKsF4sTFH+djg749v1PKyOtSPNPgXoa8kJazqs9XnS+0QEhq9pMse4+MyAXpnW0OyqGwcgR49iSN3csNpnMXkUuXLqHf7+Pa7Y9XkpY5YbcMKtzAEzrmciX00kmNEOCbp6q0O1JbRUBnYCl7TsvTy4Zag8PdsbmpJJQRmmeFlrJMm7EX0FMnHHDwmBxd9l26cIMdE+mw89zTRZJ1SagP9DBCb2eElLKsU3yXS3BgULZFHfgLtUGIO5KK74A/afPYJKR1Mlm4SeMVJrb65iweaI+vfv1j/KzsLnWFT9SdZQyaJL4JlWLRcGJ5XcLSkAkrVIbOP8AWTuAs1rGJEziLa3Aaa+emwDm4eDwH4aHWtXkH2O0D447Ler5Mu2h5RsJ4V3VfZLJuY+L6Id0Lfw9ZvaZrwFan773xQ2vSallQRmMapV3hGeqPFVtY3Zz7bvPuhsLcnUxs58K1N9KkVYj9JLS4oXYXGedtjCoO/hP9jg/7KYboYRPHsYl1m1x3C8cqPfC4zC5N8Zb+i7G9vY3V1ZpgtQeUvcxJe5XFpRFu6/+7O6yuV4t8RXF4rgbpYgiFaozIB1jpPUL6koNIlRlMamy4Sl8eLwOeuUlDTyQckHGARJMMN2kNdrb1wHkJvloZ8AcgnvhSmrKqTAN7FX58SEtSdz7Je5G/Af/tYJqhZgdopgt0OlOgM3WTl9JmAZIGH8RlcDXArTpJ3S5FApw6MxfnashBXsYfgfhtBn1p2iMQIvk4POu55EyFSMt88uacj9jwuzhVHIm+huzb3NNPAnU6r75WmFyei08+YetHkIHIuCHTZVBCrswSdFadgrbv6KSuHSzQUaNwOfZsyGNojDZ4vjP+rLhZrocRjuM81rGJdZxHkmZIt+fOjMmJxKze6WngZGcbJ5NtIP0idjsub1gRaW2braJxR/eiPstEt2RaIiGtS8hzi0uIzB/SAFUJB/w8rxxb4Oym8HKVzVKdQ2sLA5zFCZzGKdyGa3Ea1+B2nMJpnLLZ0ydZu/LSu9kQwItrKnc4UkBh9zKn8ruKhucI8ByiSJBBA7dcqfGyyzQzy64l+QlSi+SuE3m/+X6ulpar4ogN/15uotAqK2SG4rLM62K/vVEChWIP15AiwQT3ZCKRdv4CYd5Goicvrw5UXoJCrpKvmhhzth+sTEjtzydYCXJCXkOS6xTpAZ+8Ug7TTZW89nyTVzkWE5nMuCmYe9Rx8FPFOZPvlevL8p3ipGDn5Ufa2ZL5rc6sxYGm/B46Rppp88B3fu5c89WKaI6kQ7nss+AiiO6dAzYy15XuhfdpKbRYMf23MTVRm5XmzEHGmJEcG7hjvf2hYw4qSnyGJAREhTSMWVLl+h1QeWFjpAE+T89z2y8SG+0+JLs7V4bDowHPkUlrL3IEePYpuvOHO4cPVHz+R/X5RIwS46mik4nGQB6ZVBHiwBRAtIuV7hhxmqHdnaCteKybcl4ej5DJwtS3zHeX0NBpp2IBnjRnKIPq5zhWTNEA6gfOKg7OXk1TIX6OPD+dS2qPAjyF4GRT5/FB3wuUB3XyPqmKuVIlCk6dHpI6EmxoUiThExkHUZmoPy/PQKNegE9tvTgnTGprfANLYTkkMXQQvzL/aWL6l44qQxwphbY9R8gkWEWwl4E53S3VLwSqzFz0TnBCfm97Wk4nwQnM0jTKTKS7qdOIAEARqbAWhGs9JSgmMdG50x3gxPo22v0xekrX0UVzjj0ND/eUJO1sghlypTBP5miuQT9nDu6rzMcEfLYRlr2Ypqv2y34tNZCHKXQfPK+deY5N87OpAEQLdPrbGGxsY9DZYjGz9d86zmMD5zBUPUz6rcrxvWju4BOHfAtHcnlyBHj2KfkSNB3K8F3KAs1Iz0WukE1jTEdtYJRqPseW+RuxPz7R0WDbbWDR7WA66GDaBS4MAAw0CGp3x4jTmSUtArBmAVJ1a9KxDoJfQNl9HCjJ2DKJmXQiFEg6M7Sx0KBHkmxD5GE2iMlQ84BWKwNOtUzqc72v7PqtL6MjvMbTufZAoQGNTx6SD8BNTZJXxAOfhQZtimzL467Q/dZpXaSZqUoTUAV2lnEVqqSuLNdYGeGgh8CBS2wACzE42FGm92hwkXhb9aWdGYwyoysUNi/Z2KTo4O+Krl7ZrOU7ABQeONdN6JvAfF+ysmcXB01k5vWShnIAIrlQ/JkaADvtAONOWuJ2AdDvYhK4Dgc71A/589qBTRPRyIDV7TlWOxew09/yeD+SRO80aoX3Tk+6TczSIhjqoQTEpoHPZabnKi3YXqXKdLVMlr0PHFzK8vyeEgB9IN0E7n7iAlrXOmcNAjybOG75Z1Uyw+SKAJ4jDc/e5Qjw7FMWVXpR+CAHcAN9USib8JM+SfJcYTZN9GxfpdIOTaSp2CfK5LmCyl19lNKJNcnDhYJnOZNVbuvMeRHcvMHV/zEyjJM2VD5CGhpoGODZjZyNPMQB0HWM2PcQWFSlstYLSmnwpToFkiIrh7fXB5mGMZ8hQjUncu7V/FbHGaIVKzddgX3noIefNxdlQ2DtcrXldM2AWVK7L89QJJEBBpmbtJFDZ93OTHUUyCsr5J3FhZeL2Tn5eWVUE25mkk4APGYUlS0HlcyCEZoJCOimYKAqm3kAwLaVfLYSwDKwI93zdTM7bo3t6x1A5VM0U/EcpOmSmyJL7ZODBwSVpjy6NskMCQpVaBNOYjRchSsbT+dQCmjyPsn7Me83fkX8tuGfcnv5Jsr7q8qGTNC8jnWmM7koIzkcv5E7TYqFwu7iMgHPZR7/lSJHgGefsl300Sh6wX0c1OTMndaapgCUXG9JuPZmANjYhtIMJO3vFvzomCXNdAYV5V42dkBrlTKlB1+nAtdxNuoySdNqmav613HeBlnvdYZodVwqBoBzCJS30q3Kn7QX2TOviSyOFc4TpBFoMSJ2D0MMsi10theOyCk9cjgoCGmEQnmA6Plw8xVpA5hWYJ44rZZn7uDX5Z4uO6g2UQFlMm1I+0RcJemuW+iAa81kgXY68swygDbNZMpBigSZ1dBoU5Uf7NFdThmtC8+nNbT9oaovyPhRy4IIcs9C0mTScyazVVJkemIX7RcVjGgu27ODsgbTpIkYd1YwTHzDR8hjTZKJexii1x9i0N/SaRi41x7ve0KTRNck7Q4PsFklte+ZYm3d8duvpO0Kmd1kv5O8GV4Gflm+GJqlTeRKlUjv7jI+MLXeoaG67cXrMWS+Bjxi83wV3nMNpQKpknkJvh/JnS1HgGefMtzuorGoBzyLXOkgagRuSEXNB1NpnpIAJp0DUYEVE3FWZliXgAaATUoaqpOKCgt6KHYKRVWtmkD45ME9tLTz6XkbUZWiNHPAYzlJCOfj4SHZafUbkrogjaFcTb4C3zer8HuyQMcAuEGyheMbmxhsGA80ac7gwIYmJdou3e5dRX1AIb8brQAN9BQgMsmMqZATqGX2bu4FE5pwuLlMmmIgjpPmMzO5NjLoXE2KpS+IFpgnc8xSPeFWeQTqSatM4teBB7UGkT8z/Ts8HO0nIjZ3Y28xQNvGxA+hUDVpy9/yGbL9pNEZGvhykblvU7Z0egeoruSZ5ty3W/qu+gqDaFvn71II96OEggNSSITY0yTVeajVvRPuMnovAcM2xmh1xuh1hg74hMxaAc+03ajaq0vXzQHdGRsnuMdeKLeafbbJGL3Eca2alNMsCjxbqqN8tlXmXsbFmqUrTDfoh19YBnjqAOhhSpErPedchuxe5vFfKXIEePYpSuVoROVJmMSarCIzo+SBBKXLTCXRLhAVnrZGmb/Sddhv0izVCT9XrDILNnxeA01AXNMzQwZHH9VgyZFAabLWxzktTsZAjgQ7nNga0uDsZ8AIcaeo7gVUibPBr0t+LwQAVadAEY0RT/VEb1f+5IHlDi6Zg+x2fTFfzS6TeRZAmgFpMsdupL1ePA4SBzgEqIjPFSJkQ9SPAx9uOpODP99fpQ3iTj4FUOQLqMQPdVCecMtmSvqu+4brB1Wgh3N0JEm5LoAnQd+Z+ZdgZibehTbXLDNjLDMbRo7vVHQiY+bT15mUFhDuMxSgz5aW+bukKdT0Q90vZ0ACa56WnljhhK3OvBbKXebeZQeQ7Pk6kX0nmqH0EHC8PG6+ts3FzGa50qZN/fbHKMCDpxJHKyvVQTpdtDFBVBSIpNdkSELmsqoQOobDs9sHxgnly5JtpWkACWYIjV1aroytrMgjNCo8xfYqu5d5/FeK3DXu8hCl29/ByupKaTsRkYmEXOQR5tMY+u1plImIUqxmx/e8ipXjLXjXU2zCyGLkudLE51zpHFr8enxgIu6P0SA10xmSNPMIznxQphUVMXcoQxatdsjTq1Q/Nqm5xJH+yk0OInSc3F9XXpJOZWDFsFbAlQVgTXsFdMj+BDoZq+U4sJVvD0O9orwAHYyOYntcQjiuCLU7N0edQ0nd78Firm2RofO5Zoc/Ww5mBJHW1pG7qnORZgfexLLPFrqueq5w5GYyfcqAePoUbhWvzamwK2Rp/pE5z7h3lePy+OEXeFnncaUze3nGMKWQ9SdoZ2PrLQUIU1aIrBvy4jPtm3aAdH2E9sYYcVLOQ+cABM90PkECPyVGDqU1Zp0RkoiZNE2b22cx1R5FzWKBTj4tAzMCp2RK7QM7/RVsJQMbO0brvloYGQ0UXxzIPHgUq6uFMZJkhjjx3yl+HH9LKfK65tNJ86FzaecOCvrTd1LQt+QWU+SgoHK4SO6hZ8WFaznFIoCb1KgeZLbVuuueJShrsn2OFiagkCN1ZvkZS3h7R0qRr6Bx2Rqe8pz21ShHgGefkmCGFU/fbEQZ1bHSTZpN9cu7iHIgMk6PVaQ62hcBSDMP7NDgyFeMfADVKlUTC2KaAKOGrwkIcUpSAGkTSJuYpwnmaVzSJgHaDEZxWdxtSu2IziAcMmlJoMJXlSG1uowiy6mn8nxUFw5e9KpPoYehLUleZxKQ+YEhI1AWZMkVISHgN8IQk/4W1qMLLo6abONQygwybUr+TVV/kCvWuvI5HJjhmhriIpgIyiWvsJBU1YebYHMNepTS5OYo0twp3c5hwDMRAIDAD0Xx5YEOSbhb+X5yv+l+JoETK5dAp8wAoPJCa6uUcU3m4JJMl9y8WdgLubbNgY5aoDixhZnhN1E/1qd0mkw/orkzzdKWWdoEoInDpNBtcLAltX9VvBoCuieAzsYCauMCsg4B+8gz03CTm3ynEsPxo/aXqXH4MTRWtQzQbKmxccU34CTQt8gdHAWZTSn9xbxcGOwcIRC6DOwY0E8cKB4pnbRa+jRuoUZmK/8Zam3mcsAzDW4/kjtPjgDPPiXGDCsoZ8GlwTUDEDNV6Qz0CjfDngSCt9NM9QRCebmqhCdyzKaxyY7e8F3ZpVbJXsf8dQFarxeCJyT5QIU3TOsBQf9z+Xy4SYsfY3MTBYCQvEZImxPiiLhbcgp43ja0GpsY01vZ3ZmmXh0UL8YMBQrrfcTvgzyLeA4nLxM0ZWGm1XVqK+I+5fc6s1SdhN7YKh4YxQiS3J4q4V44JDV1I9NWEfnAgsRtM/0UiYWwrifkpedbrhbxfHwT6AyJPY9uBh3bp4WxPXeGGI5pJLSDubtuFDJPEpAgLlVoAcE8/eLpHO3O2DoCUL4x75qsvnQPBAZnSDBWLSQdqbnS3oet0Vybk3bgCwdifPInDeEOkG4Dx9NNQMFy2GgyryKLU5tSHdz7H+ZNkejv5h7yhWvb0GOW/avuXQgtAkL3XrUoILA+BdpYQOVTRGlhPFj9/kEBFNwo60alsYlbFjILcpmGFsZ3gBS5OgQNzxGH50gCogfTsPpPT5zG9pwonbm8r01O2tSVlLg3ACwpOUlnllsj1fhyUqCEgZOdFqZbPeB8EzgP/bdl/qbw89cQyKG/Af01sIhiFFHhaXik5FDWI4dkhsR6eHEND33yGCx1pil+XKl94NzmQ8LpmFqb0LbtE1K/0yd3d6YV7QQtb0J29+lMYFY2tnAsmqLRge/dxQdeNumU/jJWPmQG46vTkAcML08mjFC+oK7bN68APJ42geq+B1G5cWWOChSRMrywMp+K9w09ybeM2amNBJnRikTm0mUgPDMGLN7/ZJ/gJPsJtqx3FG1vmZQWut6FjUPjxW+iZ7IN/5nSc+K8mj5rp0hHIh5EW8gTB9RDXBQSzYnTWoRSu7J7SzBDS42tR5fNUUVm1SqZQpfJdLnV03Osds8AyZlgSoUicloP0rhR/iwy6UiPMOkVRwsfzdHRoMe27V5AT9V3LnUAR56fA1nySoyARqIJ+Wk0B9TcEq3tpZXLlzcx5lbSQBJIJE1elVypbOl5rtCYHwGevcgR4Nmn6MmwjNz1i+40B7n5NkMMleQokghxOivF4+HmIy+zsZhw/Ws5gmc2TTRnZwQHdAj0kJYHcKv+aWBbDsC40HPh4dVl4kIJwsqALAx63Gp9uVeOrmLAG23JNtIGKCjMAuVJLe9PxJHV9ND5yukIYCiwsZmoZ4j6BVZJ/U4aFDnIGoKy121y+LwebjICnPmJnhmPu8TBD1h5rrpXrJzR9JD7OyeT2gza7PINromsGQcbOa8CBbErUJg+zYNF6vhOMWIG4F3wAv/5hJ45NynUSdvwJojr00PiaUP1vtzj8OjKwml1uOYgg8/r4SYtIqAnsM+xvbNAkmgAYM1UKEddX5YENORVSEAeClD9TXSyhX7HqS/IYYnANj3PbVY2AhrGjGdj7kQmP1x/ivnqNrb6XbuIUGghN2bfMdq2nrSfvs+MVsu2tTTHcakCN1UKvyptUFFTJkRQp/qIxYONGg/dJs2dBdrpFO1kilnaRKZG1swunS5CMsKidv+RXHk5Ajz7lE/87cOAbkU2Wb4yN3FxuFs5157EKUvZoHzSpTtdlQcKAaMMvcEQQwDzqAd0G8Bx+GCHDwDSnGX/HFG6SrtTroNvigiBs5IJAUVpW0j4xBRyna06h4YovodZqG4uHUJi7fGx0TLwSMBUZ/3ZsqTcDLHlP/TUEMMNHeMlyWY24CHAItaStoDzaKRnScQ+pZsv4x94Gh/AB0g8ijN/1mb1SrFOvDaLGD8rLzxjrQRD7pgywbTKS07fntbQ0LN0sWgcd6SNMbgLNz/WXldcQ34njQqliNCRxIdeTvcEM0OmFVot/jzcCX0+lK4QzE343lRGK9QAcDLfRq8/xDDpWS4Ir68GOkTk56T+Mv+JayB1eghGdlbQ7y+ZIsm0ukyqzKjM3N4E0ItGmHXKWgx6R1z9XFZ2TXLODLDN/XNLYBKJ71WmKFlH+b1uSPHGZJQ0ppK0TMLd6auez7I4Ylklcjtc2S0i7Mob2K9c7vFfIXLXuMvDlJ9ANY+CgMRxAMcbwMkUi5PA4iQwPw6sHN9BbzDUHkDCRg6U3W5pG+CbBQCt5o5QoKXGGKxvoVgX/BgW3blO6gBOUSgolZcGPAnKJIdGSsi9PDR57UUOI6mlDF7nR/B1GjZXXn/nIRQ97xUieCYzqKTwytv4RdkWOrcugNPQf6SBIZmibLYiDk6KMqARXl62PCcpmz9O0qwyrxRQlnhvtyXVz6YqMjaXECEd0BPmMWyhjQlm2ESG20vmgVI6FjHJ8N9cKKUExYeyATIpHk8x1lwYTqKtIrsSiKDfpL0D/PYn0xHlVkuBTrRAJ9kOmx8D0Zll2Aa6d54WhvpqDO1iP+0vkKRAY5XdA78P6d0nU6lwTRb37NoGsA6kU+DU+gW01sbWFXwIp+XQt0PvkAQ9MySZ4Doq8T0EgOpMWhzgkMazAsBw4RHeM8XBS31fssfXgPk6mV8hwKOj9F+mSerIpHUkQfmriu0RHC/mJIB7wJmODBCi4FAytggJ/y4BRBUPpVKpKidUhM1MpYmkKHf80LVDyRslh4ffSwioLBs49guG9n6cM8k5DY8mNmviq0+GBRwhNsbMeG1o7dDYcFBo0JdBG8fkeZQA7fULaBAf5BKcKzulsgDCZiu5LRHlAQeOZCJTRSvYav4UT9+x18E9pHlxv+v5Wa6tXFyVKhI7XSsUoTt0Lw6QToxmZ2L5OzFmUHlRJtFyswsJtV8OX7sT4lpx05FMTMk/gVI6irQDpP0ppp0p4k7meQ1x4XcMaK2aigpkWHgeXQDjYRHAcQ3q34fcz+tp6thIoU06nYl9zmPDc3N1k+k83ILB1ku+/mQu5fv3op3i7wVzLydzLWkwpVu706z5YTKWgZ3LkSvD4Ln65bOf/Sx+6qd+Cn/xF3+B2WyGBz3oQXj5y1+ORzziEbbMrbfeiuc85zn44Ac/iFarhac+9al4zWtegzg+3GjVR4Bnv/JkIIgyuIZnAK3lOUl/c3SPb6HbGdqsxZIAKwFQmSNz+a+P5ApIXg7xA7g63Y9tMrErOJpY6Axlt+/C3mF5IqsmLoeBXVkbRsLVyiFitORE0HmUaAnOm5KRp3lb0LObGY+jts0CPiuRpKlNYmRav9AfYrU/d+atVfgcC1dBfxXLNT0h/g43b3ETjCGmztIVLx1EnTjwWt/ffM1LvXtu6BlUXbfqWF2mRhsJ6YKes/oR6VnHVlL5NOz2TW2dwmlrQrF4SKo0vdU36ZeTz7FG5PuiUGBI/QLhBVKMzE8NsQ3//ugeOX+Mg2kD3lIFrOfbaHd1lnYJyPgbR/F3vGS+IeFgkE7FNWhc+PvBNDqUkV7za6QXaHjMobbkvCP+SfvdpVXweFkuJFeKtHy1a3ge97jH4b73va8FM7/4i7+Ixz/+8finf/onnDx5EkVR4HGPexzudre74UMf+hA2Nzfx9Kc/Hbu7u3j9619/qHU5Ajz7lZdNgV550uBcnSSdoZU4gECB+bg3EJcQ2PE/9//i1E0+HBjw8O4hEMLNPi7Ohss6TUHKZB0p8qzm7OrIqn5E3epVFQciIXDC75Gv3GBAm8xjFLoWPy/3hJO5xHidfJOWn4VbxikBNOApzL2T+bG19mUdBp+bVIiY7FfQn4CkxoebVABfs0PcnURPCOPEpc+ktggDbA78XFvzKLmA4+zwvqPd9sOmyjptUB2IcfXSoIrH6AmV059+P+T9IyZTUSdCUrg4PPpz4fKYca8i6Y4uX0WpNSlqygLu2bHuuFszCteZ9EKcH94ePDVEDyOXr4t7oFWlieAE7pEh8UZzrEbb5b4Xkr2AQQ502L6q9gjl3OKpKJa5iVdp00vel/ABDp1XXmOZ88UEFbGEDluKBoIR/fd7jjtAzp8/j3/8x3/Er/3ar+Hf/Jt/AwB41atehTe+8Y34u7/7O5w8eRLvf//78elPfxq33XYbTp06BQB47Wtfi2c84xl4xStegdXVCs7sAeQI8OxTrj11K1ZWu6XtfMBNPHDjB+2S0WFDx1cBoGXiv+jhWEHceywDKatigLnPls0P5Caf2/uQBjG5wiTSsDZnOS2Q0x6FtTtVQIfi4/A2cZOZiwVE9xdqM86J4MIn5AxJ8H6onIJbQfLVJO3z78dpF2y04XQFzWTha21C4To4wKHvIbKyXCkz05bW7jRtL/TV+KH+JsjdJlIu4AjM1sNLuWdYoMzzku2qy/mTN33nZUPmsYOaHELnzqHNwLlSiIrCI20XEVDkC5jY6P7kvwzo8LL8GUmNUMhUCXiec1x0nCjOlyrnoArFteKpPuhdSroZmtnc9ZEQMOP9ib8C5LEm+x8XrrHiWplQWantgs+/CXFoOQ+HG9BCZqry5RiAFyDfVcOYCwPH83e97jr+MV95XlqXLl3yfidJgiSpC95VL+vr67j//e+Pd7zjHfj6r/96JEmCN7/5zThx4gQe/OAHAwA+8pGP4IYbbrBgBwAe/ehHI8sy3HLLLZ7p63LlCPDsU7oYQmG3tF0CHg4UfFJsxeTCJmn5clYBnipTQZXKVSbqo0R4PN8VX0Vy8EYJDwGY+8pM4PWhFw36cqWkXfCAjz84VUVyDq3ElplbqoSbSngd3ffygCnvRZ/HrMqTWLv+ErmYPGwkl4KbtWQ+LLEittvMOS+tNzFUOorxeRy3IfIpngivr5cZ2wRUszFVlI6rk2Sz0oTMY+a4ZyDMo6KN+XNxSS/LkbRl+8vVNO8RVIfQ/RzDli2jycwTTaatyJZOkpMGJvG5McFyVM+If/ezy9eJTKoZGw8nd/++uZY8pPyI1L5ZkYPY3LwXCgWggGxjgnZ/XJ1ElUudu/cyWXZsAAw1zM9cASovtykHO6RbpX7NExTzviEXTTJqN3dWCAGd3DsD9e9yxPiQlJecd5BUed3t9xwArr32Wm/zS17yErz0pS898GkbjQY+8IEP4Lu/+7vR6/WwsrKCEydO4H3vex8GgwEA4MyZMzhx4oR33LFjxxDHMc6cOXPga4fkCPDsU/rYRhToXVJDY+3ZDOjIsOz82PAEH+awyMFfsRdPmhRkWR5QzP4VPQy3ejpa86jpx6no7qI5GGJ9/TxO4BwSZBhgCy1McBybWMdmKZ+WTAngeTQZ123rJSMnlJCXRhHYVyXLVpNUxgAK4gHwoGt8Ncfbjga7cgZ4N3nzCVvGmSFtz7wzRZODHTItiLpxcqv01JKr4XEnxQRtmy9p0zyd81i3uYAoeFwBpwWTWeOPY9N830SBCD1Ah1Mwmh6e+dqHos50JDWFtJ9PTEMLoXteioOQKSxEpA6ZyRRyC9oG2MIQ5+1kT+kOFDS/xGb+5v0j8t2UeRZ7fn1eB3qmNJXKvhCafGVGd86N46ENGnm5PmOlQSu1+gSFnYAJ+PBrFYhMoDwNMkfIoJLCy/sV8hRNiszkwWLval3wQC51Jj3XgK4M0wxx0BM+TNlAiFssOz19yn6kxDhE/cMBex23KYYbZ31QHYn+7RZVy93S7xgzUUkOEfDcdtttngmpSrvz0pe+FC972ctqT/nxj38cD37wg/HsZz8bGxsb+L//9/+i1WrhV3/1V/H4xz8eH//4x3HNNdcA0MBIyu7ubnD75cgR4NmnxJghqmk2CXaqzDRcqsBOFVmXtBtKmBLqYkTQS0oh/mlyyhBjNtWRoJFHZY8VYRuWQ0CCzHNFpTI0+dgcV5lZVRJZkvgBVStB/n0/gGevoMhoRRqR9pRBskAnnQLJ1JtkeMwZvrqkBJVD9EAmQmU4MvRMHLHbjxRdRCbYGzcthAitBHAEdyeU8FDfetnYOGMDND1zKktxhVzqhYiBDAY8lPLSMCyT0MqXzk11or/MW2+H3eZD4F3uI6H7DK28qV8m3C0bCJpf7HMX75R/j5TvrQyCueaK14XutIehrRO9NwBsKgYiUhMA0PsKE8maIrq7QJmk8fG1j2UiLplsOSCQ7aNQYKZixGqGIspQRIaAHKFaI1T13tVtr5l9ypo1l8JEsZ5+GFrlZcKBT0iDXCVXiMFzqIBndXV1T5yZ5z73ufj+7//+2jLXX389PvjBD+IP/uAPcPHiRXveN77xjfjABz6At7/97fjP//k/4+TJk/jYxz7mHXvx4kXM5/OS5udy5Qjw7FNizNCsaDYJbLgnkwRA8jj3vWxnDkmVeUqulkPAh3/2MES7M0HRUcCJslcMDc4DbFmNzgmcxQbOWm3AAFtBgEdaHc9ThAOeUPwTuTpcphqXwKjueC6ciyC4FQ1lSJoAgIXZvgDU3GTJvmBj3PA4KjLInL4Myz5tTCkJhbineDlV7cDdi1lqg0ZuIuTawgt0kinWOlNc1/8ydteBi2upeTLHzHq2G0zOyflmJW0D7ZPxVAJSB1RIKLcUJXeNDVh2hl8Xf0a24V6Em7RIS3Uc57GBc1p7lW2is7nQ4QDInENVJDfsAog6msujNX5lsxuJr9lx2j4yE3PTE2mXSNOg390hu0czraYFgLnlEXECbzzV+Z+SaGY0bVuQWiQSHl2aaydJy1tHdvbGMVVAdQqoTn0oDa7NDmqHQn3cVdbbR0usJmDf36YyaSCiOY53RsiSM1arKYGm7IshTXlIg+7K57a9aEzlGnGX6NbX6Er5ak4eevz4cRw/fnxpufFYp3NZWfFN4isrK1gsNMfpYQ97GF7xilfg9ttvtxqf97///UiSxPJ8DkuOAM8+JUaGZgWq50AnRF6u0/LsRzhoGRszhlTxjos2ZtNYp54wQh5ksQl97zKMOzdzGUuGzAHHsGUDua0zoOPMWc5FXbfTzCU8DOWRWgZ4pFYnpPHhx0gvmb14zOxHuNaFTEwURyWZAp2p28+Pkceaz90UyDu+FgnQK/wkM1GayZW4LrcTCWmDOkCjD6x1pljrnwFWz2hgZbJEh6LKHkQKVcWJKpt/SBupq0kar8KkX9jak3dNlXm3rKEobJ+kPrqO8zh2YYrGJlwbck0Ff66FBrxI9L3wHEq+l6GLC1S14KBjpHmljbEFO1RnikysVAEVFcjzhQVjUeE0Hs0MABZAvgAwr9Z+mj427qxgnLQxRBe5ATtkRuRArqrdl23j5msCyj01RFtN0E7GdsFjM6aTcDCvG9TX+vJ32F0MgNHKRkCKKaCmQHTBJ0yHtKWq7MYuwayrmoN9lOtM8+HW7fhKbShBMJec5W67QyXH5auTLnd8rJCHPexhOHbsGJ7+9KfjZ37mZ9BqtfArv/Ir+PznP4/HPe5xAIBHPepReMADHoCnPe1puPnmm3HhwgXcdNNNeNaznnWoHlrAEeDZtxSIsLKk2RwgIf8kytuUl8rUHV8lpN0hkxTXq3jlKgzhPqBxfkYSlAFklqEgcQTcuFrZX0vq85v9ITMIDUDkik1VLNj+nH0qOK4Ln6BcY4QaqP43yV7MabLeNBDThDmFnihJW8AHXq45ItNVwvbBkTG5ZFgglfWhPwJCpKGgc9VxKwpdx8aU3IvFfsFhAeq9ZdxhvmaSfNhImxESzZXwQUOCLGiuovP6/coHPyH+CUVaprV/VBQufcQ+pW5horC3VClV4huwI6d1iRRmKfeMg5cKoxIUiD7TKHRWcGCMInGxiGaYsbe22iFCaoOrhIJ2ArpNZpgZEGQ8P6MVqHyB3agmLg+XENgBwu8rmdlCYIf2k/m6gHmv5r7HI8oaSq7p4lynkPfmnS4FDtS3S+e4A+T48eN43/vehxe/+MV45CMfifl8jgc+8IH4/d//fXzt134tAEAphfe+97149rOfjW/+5m/2Ag8ethwBnn3KGZyEsvHmnXDNhiQmSu2JfGlCHijc7bFaZS1joRQ2KOBAbaHo+6uPEKeIe45pHoqfcJOAWmxXQz6xNGLnchORI7jOUqCITAh8yi7NB2suoQFtmYZHApCq8Pkh0xevCwErnn+MX4cAjYyKzEFOHQ+HAg329V8jB5od3TacCAy4ic4OZHRfPIllKEouvy8CR5R4tCPqy49jMXwahlfUZOAnBHoINLcxsRqKGWZosxWvNKXS9CFzE1URQMvhCcpxgqQTADcbtTGxqSS8CTI13zn4pO2KngGQFBkKpQAMrXdUyKTlYmw5NpLk8VDd3NiQWcA0Q4wheu676kGpHEg4Z04EEiQzZ6ivs/7Y6ACd7gKdzjbWV7cx6Wris/TKpOdFz4VnCCeNFWk0MnFPPFo2bSNPM73wqXBSkO8lf/yhIIR1i5sqEzZ/P827mO4AaTLHbjq3Dgs+GT+y9ztEz2rBOcGfm9GqZIYp/rxy711HHvKQh+CP/uiPasvc8573xB/8wR/c4XU5Ajz7lAtYxwq6wX18UCaF9tgknawL0sfV45kozXk4VXZpvgKmCYj27UdylAESnZf4FyH1rVx52/MpM4gkwFhgRBnMzjufiP3C3YclmbEhQQ7PQC6j5IJ9SoAE+INlFShDoCxJwKyAFBrkrAI4Ya5HGqsIUIm+X+me7NWXAxia3HbgT3AS7OSsHOVHCrmzS28wOrbjl/XNbm7FmyvyDVKWfCvJvfqzDOYlsVeCHg7KPY4IWzxIzSJ9cr6Udb/mYE92Y04Oh+5nRBKme+WxbQpE5g3VUMhnyxQGHsUoMAloDvx8bZznI6N1A7CjQQ9DRGmBJJtrnssUmo80Ms+Z93P+bE3S2mYHaHbnWE22gWRbm1UF+Z2CVI7M9L4F7SCh06n45j26nzbGoGCWCTKQc4QFRXJRIoVrd+kzR3l2Ii2p1GjJd1VegwMe6gepBvep5ecZE6EB+lkCtDqUcDbz8oT1hEmwSqZWBXsHS904tZ9z3AXkCPDsUxQKrARnO39FWhU/x62McvO7TPZ0JibSsOgphccb8cv6piS5X167zt2XlyWNEQCrrdL8A5qonOdN+T6j0vlIcqjyhGMkQgG9u7ArXHcv/ltJgfEs74VC5e/Amcw46HEV8LUmPIUA1/Tw4GxA9UDLz8mFfivztw036Sq9vzkFmp0FOtHUHUP14pwduYqvug6Zzbjmio+7BSrbHoDVdHC+A3fN5lJl6qhT+5PGUPYNCep1j4+MQVjZ7/p2Fch8Rr+pHEmmEiAFiqhArBaIUgN8UoTbkE2KNOGR8D7o6lBU9m+FAmO0LBAMm0r8qN50Dv1eFeW+jkJrk1SClpprsyTXKhLolUJA2V3EAvHGjjBxqgXa6QjDfoZIubbmQDRidaf7IS5gbEYGyphOCUQjrqnk9ZD1DH2/XIngAVn7ToQAlZEGYFKPFJpTxcbXMuH58syahyJHgGfPcgR49ikncTuigEkLKGtdpOodCIMLOpZIjXW8ASlhsBHe5gauqjgyCWZZbLOsq6hAK9Gq3OPYxBBdcPdXUuMnbIVLIk0XMgx8XQyLqqCLJcKkKqBUjigpEHdmSNbKMX8IDAGMP8BBBWmDpGZIui3TypKXJy0LP47KCe8fdKCzpHeg862tsn2cT0C3yJNRSjPWMpMgARxZ7xC/qMPq1wWw5gIX8rgmdaZRHmhTmjYJtOt+APBI1dzLsMq7ZoyWp9lR4jvVQQoBZyhAJdV9yG2XDv3mvS0KJLkJt5D7kXMpdpNzT3f9nJvq/EcUXmTQeyLLUftmzOMLfWCAEZq8D+zA57mRUJkdtq1qeEm01mO1P8dq/wLuvn4B0zVgs7NmybpD9DzNhjTfU5b6Nibo7YyQbsPXSIZkr5NtFYdHV6R6NuOgsIr/x89XaA+xIpoj64S110fylSlHgGefsoZNNE2wqmVStdKtAjs+r6acXiF0DmkO4NtlcLYCWjUNYyqbGQ+EusCD24M5Rse3MOvoAS5hA5tW745AgdBopqVz08DIXTmlB0tIpMYq1JZ+mQrOVDJDkmTarZYdTxNzrcu85MhwU9K22UYTCd8Xyk0USgIqk4HWSd2EQOCqboVMq3pJ7qR60Wo30W72F5X2b9rEcfvceF+SJlrS/AFAZDWCTq2kkFuOmauiM29JIEzC+78G0C5J6wwu433IRKw/y6DCb1blXcPPF6c5QBHGvuccl2iBDqY2UzcHQPy9dPVy72goLYIESRQ1eQaeksXEv+pmaO7MNUjlpFUOnLn5lvozB9ESNFO/NDwzrAHpBnD39QvYWLuArX4XQ3RtvUkI8NK758XcqtKyXo6EtHP8MyRVpszQu2K0QCqn9vbjLfvF72TtDnCk4dmHHAGefcoyLy0++NKAuvycHLzoyKlVE/1+RB5bsAHeRRiJ0VYKRVdhDGAeFdqwn0dAlKPZnaDVca7r9MLzAXqGxDMp0ETGg7FRdGdJgKzLkVQX4wLwOR4eUdUAMpqM5cRIE2cOhaIToYjGaEcLHVhNelbpirgM04CvOQkRoyURUxKaDzJg70UkiZqTpkMeZNzFXvHTUO6zzD5n8qySWh3uxaJvTZfjAIfDdn4NbhrhXj1cQosAGbm83AxFqV+VTKriu9QkWqdlHpU5FFYl0u7WTQUgWiBOphb8kPcd52fRO0PcnxixYfm4PuoWLlqzRLoj7iWUK4XddI5GBliFc5WWkDfpKHAPvDx9Uv+4oDc1c+Bu2Qi9zsi6detL5ta0bOPuSEJ1VQgKXi8ltu0FvOzVDCY5QQT0+WJD1EXnoVsBBcgM9WFd9CowaYXa9iDnuAvIEeDZpxRQWKmdpJ1LrkLugR6+j5cHwDwgeCK88GqRr0qrvMGkeUGLMwOQOaqHkQ6UliSYJb6piSa2NsY2Bg8BCVpxb2GAAspGHAYArt4n7Y5MJSA9WLiWys8r75sJ+KBD90FnHuCilxphgIvoYWTjBMm2+/+39/dBkl31eTj+9N7bfXu6Z6ZnZ1a70hqBZSNkLFQYy2UhbKIQQJgytgmpQKyESDF20A9TtgoUlwTESCksAjjA14BcJsEWAfNSqcQVEzs2ogwILF5sfcW3wMaAsUDC0u6yszuzPdPTL/d2//4493Pvcz73nNvdu7OzK+19qma6+76ec+655zzn85qtSKOeyW6/aiJCWwHTTOFyaY7EwzmBLPgg1tPPsomRwZOCD5qgaCKj4TBSzdRU8ptJHJATHTku3beQGqEGSDBA12mYyX1coGPOMLSURbwJ+XlqkuIyRtZG+lweX18S9apdjrBwHzG6XUiNU/ef6KPGdlQuKYVSl9SRk58saCUHSZHn0AZGEQpeUzIOaNUev+umrSOcXAWitp2KwuqzrH6VfivQ6SKkDnLeKZh+rSSSzSAPAJiBiT7bubkMjPNGz/srG87Lp7St7utcP/3bt+AQCad6P0ZtQ2rEQ4slgxxQkhdrrphRfjXpBcIiHkeoCM+cGDtYfhk06XGBPbM4eFkPC9gZtDDoN5DEoWVbEzUHaDSHaAVGmtHDApawZU04PuPlBu0XslSW+0dKs4guJECaKbdJp2CumUfjlQGjkLMr+1sskBggTy6Zqb+SFnpbC+hvtYCtZu5mzQP0IrDvwDZWDmzgUHAU62kkaGk/IWmSM4dVhbmPTSMrby9aQBSlhDH1JMtWr0wcBLEqjxhO8349CeiJyTcZsHSo6TjGBTmHbYV0Li6B3IPc1k28lwStYCftH8bTiKH7P/9mVYe7eIlFMMomhYLNVtpQejsbM0t5xPjXoAGJhTUNIt2JBsM8DYqQBZ+XkVaXaE84/k6Te70N1LdHaHQ20WgbV3ZxaXdNqCylzGygoghBZKv1ROLS2h6jxmpLIdoi5fF5N0k/dhFuF05nFmGSI9HG5VrTyL1PDaXfK37cASzSP2rnZJNtkqTdZWziqMrsNWuKWk5o9ozwVCqtmVERnjmxb45B2mVMOW3Q5dVcgsB4KoUJkjiwCE8jytU4YgGRhyLMXXZdZeWsv6JecuWHkfOFhKV+Fxgiwk6qPOIUBKxKyKVUub4/QJyqmOJs9c3toolfN1hCr9NCr9PCcNBAb6uFJA4wTtthX5ig0RxgqbOVSnO6mQSKPXhEGmXKYOIMcS4iuXeEAXpo5QaxqadKEMQIIuPyv9TeQlMGai1VkUlRe8X06ZM9pnxxgmSgl4FcPM406dHQK2MhOOIaT/F2CseFRuIwbO5LV7tudWMZ2fEZ6E7bJvAaH8MtUXIZtUt5WD2W2b1gkPVxKTu/bwsUMTyQSMfSXs3sJrqAxe9lxrO8L1WJNjeBIO4jCftoNXsFrzhfm/PkrO8TBUMMogFaUR9NJmJMcn1SK4FWGZ2u0bGvPVyS0Bh5IE+9uPBdW0suNUiqJh6IHFsqTB+E6Q9mbDKG4m5SLqFkz7kqS1ARnplREZ450cIO5TCaDTq+jQsyxTSy33Eu8k/j2SRRPoCzdIYNRxdSo0v2ZAFyMf9OKjLP88Ms5iJbRzoKkSQ1gjwNhRgsc1oKX9RbLusSthBgw1IrCWSLkB1L0pNKXoaRPxmjxCmRcklMmAQhdtCy1DLmvkuWtMdVZkbmhdLuYqW9gbVL17GyuYX6MRj11jqKKR98aoXNdB97hmmjUx7IB+pTr3zZAHkRttRmFcAagI5JLSGB1rJ2JzsTNqjNn4ltAMzQqihNZqadUxYWQZ5JMf5OLoXJnpWK6eRST7AqSxMeuU9mhD3o5bGfROUnn6bw00fOaXNhDCNpSSd9yY3WxAiWCoz7gZJMaC9LbfDdwBCttumzS4e6WNocGRUdq+lcqiftFSiqVx9BZ+h2CWGTfN4eIDekF8mo9F2XfY0m8hzUU9mqcQ4yjhqubav43RfwO8DbOAyHRBYvw55FZVZd5rSvcQGgIjxzwic10UjU4OMjPC5bggAmiJvE3kkQFhQFeYDDPC+WEA/ttisoeowE2YDZHSyht9UynlpxCMmSPgonQHOA5mIPO01DPEye8F5GdlzuyGxLJDE6ZBXNXj4MttfZsShcHuyME0wyYbF9Xmyix0bgDJ/Kz6VKMV5dO+ilHksJAiSdAGvYzDOfy0TChEdiArFaQbsIa/uDaW9l4jhOqyVEhJ9ODJN2nlfJJzHQmdJnITvu4k0nOkxcWZrEUhkxhBcj5RiB9R4EiLPEpnkahn0I4gRJmBv3avseriugbOKSQZaxPN2ZQ9q2TJowK9jonX/zfQRkj8Xu0gCyt0xIj0DeiYzCBwHi1a6R+EisKkpIm91Xh2oA8j7qsvthiFTSFMCui8sWh6WYMW3TQSLlfHnP+DnIce2iTU4Z7ACXxfE8XzDlUkCfSrXC4wcV4TlL0CuHcssGWBPArKtfLUFho2FevQp0BGdLUhINM7XZmHJgidooag6NYS9REZYwaa8yJjs6uaiUgglZgqBAgARSvyEaaTg3Hqzy++pVmgRH5OP4mmL0zGbhulxyLnsVGd2+sV0adBpodXbsTOggA9JTMEToKIBjMLF4XHZAAWy7A1I1Fb77DJoB+7oymSTGpTqIxojCQcFriOFKczINedv7s6rrvs2xmExflfsM1SSTB+iLYCflNbYqYysSNzDOJFhxkIdHyPuDP6JzABNZOWoPsdA2cZy8Gb9V24trugRqZDsc7WwgGegb/bGdWJddx7WKcwBDXhOo+trQThJSX8mjFTYTBPHISKnluny9PqzkuFm52OvKVT75dNnf+Ox/fPZtTLAYrELmKOKLANaBegTUm2OYyMlKSiYJewMjIUsC26Cd+zm3GRsvy3iSQAJdnic2PNJeZ3qNCwAV4ZkTCdxeWlpCwGTEZXTowrwiUE2M5EXVdgpcdraTse0dAqANNJo58QnCxPwFSUZahMDkqqNBRrY0+RBiY6u/itnjuT4ysTXQyM7VE5WuE3+Pp7QBT6JGzQaEqV2ReHSxCz5HxJZrDdHADhawjrW8TIFpv6Sd32sBPSwd3sIhHMVBHMXqQ33gWwAeAvAPsFeoW8jBE4iP6ATqeK3m4pVzGjW6uQ0E8QhJ6mFjxPuJpc4S0b0mJAzdt20yS+Q3yaUs2tuQ4+64yIH0owaRHEs6OFDeSXJOYpKvJmGQTVQ5RW9l6lIpi1adiUp4AT1EkSH5TLAEUif24uG/3O6tYZHuFnZMPqZoA2vRcRzorJu+caxvVKPiDagn+wAZGQkTt71TVjbkNnjSviESk68rCBB3eoiaefsBKign9x0t1WGSwmXTqiZFMobNfdYpFtnbRO4VplVuPtKjFwI+Q2eJfdUBamtAfRUIkxEGqxGp9c3zcsUtM9/dY4+EVPBL7/0LgF2Fy/HhdK5xAaAiPLuEhAYZDRf50fv1d22cqcErZSEy/IJqiZHZHtLLa9sVZZN7uikIxWDXXmFzmDifCzxLS/Js6/mQ4crKnsN4qbC0J4TEJgqsVZWuV34Ff34mIB+oWNUhLSOqQY7fw20q1xZ7KFa1aanIAnpYwUb2u3Xwuyby7CbM4H4CufGopDwwhXETHE12XDYOGkplEFpNkUcOToKikawmKbof8vOzyEka4VrQwCiznRgE5jkKAs8zNPvciwaR7ABqorbsNnLyJobzmoTwOztICTanStGLCTFil23aE3EDK1ZEYolKLPeSBcMSutl7mwXAbPdN35BnPFB1UuouSXvgi0OUl9PIIiQdR+aiHwHAEIk8pyiVHEWwXdw5FYdWvQJ2n0zJjrjbDwKOqm6/h62oh4VOD0ub/Ty1BdsLsarXJ00KkRs+a4mSQCRVckyUJjGGvXiRfqHhU+vyuOBbqO6ZDU+FmXFOCc99992Hd7zjHXjggQfw2GOP4Y/+6I/w0pe+NNs/mUxw55134v3vfz9OnjyJa665Bu973/tw5ZVXZscMBgPceuut+OhHP4qdnR08//nPx913340nPelJ2TEnT57Er/3ar+GP//iPAQA///M/j/e85z1YWVmZu8z/gB+CK1s6YBsT21Fb3YbEs8BlZ8IvmUwY+SReHKzlNZZBWva7xLJJEmTeYAByT6WUDCykAzb/Sb24jGxsaqu/cnUWR+MF2LNLxMgtDGEi68qkpCcqOVPqJygzEudyiZXQErqZ5MplYySTfh4uLoKE/HfFCZL68XUDniQkoq3k79IxebSaQG/Tx2q7ElmVb9H5CVAbIFNnSLyYfnts8k4FQhC4/YuuuGIfYlSMPXqesNRMIj0w3clMrBEGGAQSqNLOqcXI+zrn00q97QIgbgcIkwTDZmKRKyFWxsbLlFw8AyMMsYiuk1xpiFdiF0vO/VIWNq6XWC0iMRAyrG2jAhhpSwNDbGAFDQwRthOsHT5hPADbsL2nhEykBr21GGj0R9jf3EAUDLGCDUuSlLehP12G5KADiiqyOEBmA6aT9QpYqjZR/TFMgKXNEZZKLGGzhK7SR08hJ3hieM/JbMugy8i/WVIlhGoTWIm2gA6svjygl0hLh/kdKLNtY/T2yhK48tKaGeeU8Gxvb+OZz3wm/t2/+3f4F//iXxT2v/3tb8c73/lO3HPPPXja056Gt7zlLXjhC1+Ib3zjG1haMgPRLbfcgk984hP42Mc+hrW1Nbz+9a/HS17yEjzwwAMIUluFG264Ad/73vfwZ3/2ZwCAf//v/z1e+cpX4hOf+MTcZf7ao1cB3WXnvnpziKg5wEK7SArkD0CB9LBoHbDtUsxvbUTLvwfZkCakoEHb+B4x3YdX7vnv0HJ/B2A8GgJJKbFjBfeTP5nQubxFKY8dTJ8HYwDZKlCkJpKxOVdFmGuKYSZLHLRkyR7gi2rEMlWJyTZvZ7Pm9kvAOcJs9aCWhgipMm20Y2xBTAcwnlNisyNxSGYZdHzGorzSFjUWkyWxeeCVsASTiwFghF47t33awEpGB1nlxKpKyZKNND5TdkwMK3BjPTSTYByPMWzCuPkjt9NhmxPXYsAOdRBmBDgMjJQDkS2tY7TSAAplkxOr2Fj1VRYZXCY9VsvZATOL0XlFxeSymxqigW57CSvtDSwd7KLRz0kckw4hGs1NoHlihGWJJjjNa4rsaISgxI4m4czpHJDPJTEWZKklJGintktib7C80nRT62LFpL18nJY26dxyrvcoRN73U9QT4KLtLSx1ttBrN7ORyb5dURWrVV1l2Hb05bOCivDMjHNKeF784hfjxS9+sXPfZDLBu9/9brzxjW/Ey172MgDABz/4QRw6dAgf+chH8OpXvxqbm5v4wAc+gA996EN4wQteAAD48Ic/jEsvvRSf+tSn8KIXvQhf//rX8Wd/9mf44he/iGuuuQYA8F//63/Ftddei2984xu44oor5iv0dhMmmlcRI7J9GUaSOzg3EDZqGb/HlguyutWTL+CWYrBHmGvySNSKT87JXunUZTOz4Qlyg2i2v1lI3dNZglEkPEmB6NgGy7Fl5yHpCHwqPrmeDDzaZkjKyLYlvJ+vaROygfWpV8Ni5MvEMi9rnE22thGu2ZLHdmFDE9g2Dwny7OwM36QwDawO4PxZQHFCEE8Z6xBTeg66xnYoNvkZwuR6mi2/XBl8pMUFfRz/dvefIvHNz80zscsqn+M3CQnSea7kvtoWyUV2+F5ynlzfvB3mDelhAUGUIAkpF1lMUjOk0hF+vjzhae89h0q0lh5j2c2rZtdkZ5CNY7Z0Q9o3wjB19x7bRse+3HRcPtdv38zEEhspc5/2ybnsrcjnMlGKkDoZ9I0xd1AcY/PnlKvUXaTVhX17RXgqzIzz1obnoYcewpEjR3D99ddn26IownXXXYf7778fr371q/HAAw9gNBpZxxw+fBjPeMYzcP/99+NFL3oRvvCFL6DT6WRkBwCe/exno9Pp4P777/cSnsFggMEgH3ROnToFALj08m9i3/Ji4XiemIF81RMjyPT6ejLn4y3XWHAmaHugLtMLz6IqM5PwTkYIJMpyli8mjfmDyFb9SLqGNRzHAaxjDes4gONYwUZmlMxum1nslGSAha2RWfGzJ4oeqMOR2cGGiOpzErpXpc6w+i4DSz3faXuExHOciKa1YWZqlDmIcu8c7f1jeeOcQm6EKeJ6CSqoyY1eseoYKC7DUT6XJwGZHHTwvDaMWi0EotTguoslHMcajuEQjuJQFqvJZXi7hG4m5euhZYI/Bl0sdbZS924zUYvXlNjw+MiAJiRa0mnvc/d1JjhyDVbhsPpG0saJdxVPeKYpw8LzdAUE5AVImQRAai2qVMksLsTc2ORF6AIYBo38nCBBEKUu+P2xsXnhhKC+5Jwk1dGkByFQk2NAas70uOb2CKNohGHTJESV+hRtqfMGjYMASThCXSQ0nONLVHU+ScI85F5JKNFR52tCL++teJ9RmIjatpFwBvEICxBjfmSJYHmpxsTXFZ1Zw6i0vj6lMruASsIzM85bwnPkyBEAwKFDh6zthw4dwne/+93smEajgf379xeOkfOPHDmCgwcPFq5/8ODB7BgX3vrWt+LOO+8sbH8WHkQdC85ztCujvCTd1LhxgCizkeGoySJJsVxuYatdAJcnWFw4Tks5GDnhMqVconL7IN5VMrGt4TgO4VhGfFYGG3lmZCYQPBjrbORbyCdwPbiVkJAaTBJDT+Pn8BIXgraNcRkHC+Q4CWy2iIzw1NpAswk0oxHQHBUNh7ksvAKVYGmusvMqVmwcmDAyoRG1mKCvzvXZAEk9ElOv2qrpB10s4RgO4RFcikdwKY5jDRvYn6kSmQBLfzgA42mUm6hHWAh6iIJhVkctlWR1AffTMnJTJqXRxzPRyby5HEks6zCTfDMaIeh0EUTFVT5f17WteH93GbUkUqtRWZLCgTLl2CQKEcRbubqQ4+XoKN7mhlIgu0+7+gRvl9QXTSBMxghiIwHpBa3Mbs1VxwQhknAfRtE4D84qfZ37q4DfdW2g7HuHmexoA2apq+t4V51FshrDLEjSffUAmDTHQNrmEoZCDNMlP+BOFpPLPY32Cw/kLGFWdfi0a1wAOG8Jj6BWq1m/J5NJYZuGPsZ1/LTr3H777Xjd616X/T516hQuvfRSNLHjsOU3SJBnI5ffekBM4gCDfn6FOA4QpqSnEfGYNQDQQAP5Nm3AbAyU8+PEtHNaUC293SV5EuQu6Ll1Q27l0MvJjo/waLLjG6BdREdLOXwSGtA5vn2yrWTFmw2ivslAVpSSoVrUUVK+hK7pKse0QVyX1Qc9KXC9+Vrs6aPLJNso7ovESGLpYog8ozkASPoSbS/lgs8mhzGPGstcMwSr1Xz3bZiLp0EIHca3WgoAGCPeSNSnuS9jluYFfjUy14c/NViVyvZLUm7JAcbSLSE/ARIMm3VEgxFq+plKPXy2L1LnEPZ7wO+g9H2aQGsQzjoCmr3Uy85+ZtkiKzVYD/UEPEtflu+znsdl5ncZKLaLi/C73ge6Zy3O+4OGvBm+sA18XIXzC+ct4bn44osBGAnNJZdckm0/duxYJvW5+OKLMRwOcfLkSUvKc+zYMTznOc/Jjjl69Gjh+t///vcL0iNGFEWIomJvX8M6Ik9SI1+2b3ZfTqIAcVRcFbgMa+39PmmNff9p4c71uRwLx2X7IISH1ReZEfZmPw9Vzzp6WTmJVGJTfeogZnYlimSHxfVlpCd2HOcbNPXg6Bow+RFRPA90YIyOl9PPgP5ECgRVFlpNZvV2SblYbeVSWwxgt5uPxHH8noSO04ToFEwwxBj4ge0TWDt8Ape2H8F6qrhkw13TTLbRsvZwayEPwijqI5chrB1bqThx8Hftncf2Uhos9YwwMHF0oiEa7WFmVFtQgYYSOHBfVkdJVcIqvIFr9psTLsmI2PrJve3jczX3AnpoBTvorvaw1OkaVbF4+umoyYDdj+QdYimhz8CXVcmRMVlsRkCzOQKCkd3ffFIa/q4JOsNFcMo4Mvd3FzTpk/4vxvxMbKbMfkEMRMkAraBn9ccGBtaY7sNO5aV13uG8JTyXXXYZLr74Ytx777141rOeBQAYDof47Gc/i7e97W0AgKuvvhr1eh333nsvXv7ylwMAHnvsMXzta1/D29/+dgDAtddei83NTXz5y1/GT/7kTwIAvvSlL2FzczMjRfNgFSfQ9Ax82nCVvTVccVpc5wGwPJFcNgFlq2afkaTLHkJHFtaBAGVyE1sDtjtY2d5EXaIIu1Iq6BxSp+i4LdgDL+g8ICcG2n4FwCT9pGDQGMm2mL4n86WYKcuPVgewEAHLQnYOpuU/CNs+ALBtZbhuUgcdVVcIDOgcrrsmOdorRcArXYmdwlIpDT3RbAM4ATQfAZ7S/j6e0vl+pnaTKMICITJW0D8X2UyRRfUNxpg0x4iDEYbNoWUjIeA+zgajrCZ2vVOCPIBgLo2U78OoYQhQGieICRnnWGIVshjJT7PXmCV1DNcxf+Pyd1x+83mawJn3cAfdYMmQnk4Pre0+ooHDjo3fQXnGp5C/f5LDTfcjlnxqezqf6iiv3O7Ad31N4H1QEpup19SIgTA0EsJGYJw0zCXE9nGn8Mw0envFIkbw122ea1wAOKeEZ2trC3//93+f/X7ooYfwla98Baurq3jyk5+MW265BXfddRcuv/xyXH755bjrrrvQarVwww03AAA6nQ5e9apX4fWvfz3W1tawurqKW2+9FVdddVXmtfX0pz8dP/MzP4Nf+ZVfwe/93u8BMG7pL3nJS+b30EI+WM1ynA8uMX7umht6xfzzEB29LY/Pk4vU5fe0a5feX68qE8e2/AI5Qs8xCYri5oC+y+nptjgxNhhCdPj7PCh730cAMAAWBkBd2yVtIp8MxDNFl59JyzRpDeBeKUP95mPLBnIx0HSp61wTGZc7bfs6iiohjsMydVynSVSi7toGoXa8GlOtYmRmlgj5FhCGmJjglXbs6LwCwyhCI2KWmRMMvp6JPWXSwuiYTKcLTXDYo4u94bTKSFpKRyZPEGLYrCMJja2SrMWyEAjSXyTApS66lhS6nmUMm2DslqbGNfu4iMosx08jP0LiRAKrEo2yM4TbaDlPUZIdt2sNcYYQtfqZXuMCwDklPH/913+N5z3vedlvsZm58cYbcc899+A3fuM3sLOzg9e85jVZ4MFPfvKTWQweAHjXu96FMAzx8pe/PAs8eM8992QxeADgD//wD/Frv/ZrmTfXz//8z+O9733vaZX5BFbR8Ki0AP9A7RLDuyQ9Ah0Fufx+7lUkQxs5azdxV34rkQoZx+P8jAQBhs06msEot2kh9YB1a56wWd3iyslTJhZPv9dgnyNGzHVl7DuJcynQKDbSHw2WBgE56XGRnxGAU1vAQgy0BjCRkh+GkfiIAfIi1ZGhJ4oy1RlPQKx60J5tPnWEeK201adIoXykh/MntfNouaJ+0nB5QQFwBrPjCUQnhdWxfnyZ17NrzbAQMLF6zLE9tLCBlazva1WwfOdpLZMOJb0sP1oWKI+hVTDcn33qGZlsSWXEnn7sxeaClib0sIBusGiuG+V1yqRc22kEZ5ngmeCG8KuVAT8hn4WMhCX7BHoBpI91GSBrqRNgRynX7x/37w6w3dmHbrSUxZniIJG7bYuzZyqtCjOjNplMJue6EI8HnDp1Cp1OBy/f/H/QWHZ7aQHl4moAUwd0DZ83hNyL7znNLVYH2+NI0BIFWU8KohKQYIMHcTTz0sry/2iVFtsOiPpmS/1mtRXoPMCe0F3kx24MtxrIJyVJIYRIyNBIfqf75ZN5HJB69ci2IA2qFyILjx9Sk9d4gBZC1KY/dnGXm+gysypL215w4SijNlZhbIvkcxk5+WnSOYA1eeiUAD4pivaa4l7O+xm5W28x91Qe7yfy3EcHkyymm9AoW0wA+XvIkdGX0M36+RrWceDEFmrryPu4y9DeZW/m66+sdlxE/swi9Vurjqgf9duGGPWCFtkHFqN8B0gyFfRS0sXy+sgkr+X6aGcDqRPbmPXVb64rY5phsIszaJIzzY6OF0xEzi3Crr23AmR2dycONjPbtKM4hHWsYQMrOIkV7FBgSR24VEfJd42TLuycGuH/1/kjbG5uYnnZHaz2TCBzEm7fBJpneP3+KeCtnbNW1vMF560Nz/mKLbRRTzNlu1AmwQFy1ZU2Sp4nGKHEA2HV1yzeMD6vGhGnGwysl36ACI3UFZXVD0NEGEV9E3ND4m7woCcicPkurql68LQbQQrkJjp8vCZKPBi7Bmi7wqjFRjpUV8czEQLckiEAKidVfjyr0+oJEIpUStpBUkkEtA3IjSp1/a2bOn5zO8t1QPUXNQar3PhaRHjqbSBMRmhEI/TaTUjI/Vn6pvg1uSBKJQ6yx/2WbWbKiJUrsKX57X5Isy4qZEJrYSeXeiaDXKqj+5W5uFTc3+c00eYwAQlySWc7/YyQRwTW0g+Jih0BzfYIC+1N7CzW0Qp2LHKat12+sFnYGtnPXeLhyHV1XaQeUl6RBLngIihM0sq8pxi+sUATxoS+Szllu9SJQV5nJv9YnG6Os/4jY12CYl4sO/NgUpCEl4VJiPdKwuOS9p7ONS4AVIRnTvwdfgQBFr37dVwcHSNHGwYzXMkw/Wqu2PrUg7tP9K+Nl801OfbHkjWRRBhiBwvZpGXdoxNgLTyBJquo7MbIP4kMce4d0Z0XwueXTf6zejXxdj6eJUEqBH5t29jp1H3nOWxwJn1gZwDs9GEZU4sEaCFJryfEj+vhs6GRe2YXQz5B+VQKcg1RuW2nn2y3AJSqtGptoNkGmlHfXjGrVThLg1g9pdMqMPRvUWiZqrrJ0jxBB/W+aZ6I8pvJgXgf1jl7N/cRPRFrosMeUTqgZF6p4qdP3Qk4JRv1CKi309hP/IymGeaKivOw4xjpoxw+QntYuoIcSt9iyYsK0Fno41qCpENWsNeZlmTKeCNkkd8tXgDw8wqAha0Rljpb5GEVZRIxIfd5lXJJTp56xk6NUxaSAQC2z5iFVNhtVIRnTvzj5g+gNnGL/MIwQaM5RCMYULwaMx3Aelly4qGTfMpaw2XvUxZl2RULZBa4osnyNU3agFxMHqUeClkslnaCpbBr4vGkp4oRIBunip2GK9mmLrcvl1hxsjLHccDFzB5JIhy7XL+ZtIjXCnuRyaCrDYZlYObjN1OCNkDBM6ye2ASorgd9XpW67Bn497RVMp8vebS0NMd1jkxKoh4QtRurV1jlJtKgjpEGoQP0ggVIWoStLEt4UT3lsiGTPjVNPSCYxZ5CSzO16k2O4ePFlb7pm+S1tFDZjBUM011STF09rUpy7QthtbtFJESNw3ZBeaWKz5ae76Rt7IbYO02CNGZRwcUDU0iztAdLhUDl4v7DNmRSZn50HLJC/kBtJ8SLFx0B7Gcg21iiBLg9zwYmuGC0OMBCYMZlY7uTGyJzvCmtzuJk0I0ZFq/AHqaWYOn6mVzjAkBFeOZE1Byh1hw69wVhgkYg+l27B4lHBiAvk9vORhDS4Ay4V8C+xHY+G5783kVbiFlXzXJdSeI4QAONqAFgWMhaPYiKpEauF2GYETuus+u+0yZCUccN0UiTgycmYm5mxGk/i8yGabufT3Bi16BXsoAt3ZHjeWDfBFrb5m80sD3GwkDZ8uSNmA/urpU5D+A+tRXgfoPLbCdC9T1EPllKOdi41SPhsS9pnifn1GqkRDkvht3f9Cq5TD3gisEj22Wb3MN82tc1hEqCILp1M3FgcsdNwrFJlaclCwGdqkmPqKOkz8h3MaZ1kR6ZpLT6lq/PKpoovbY4Ccg9+Bm5JHcep4JaIJfI39ksaCCQ9wGt/mJCB7omE68o/S7vj7w33G+0ZEeX0dX/obaD2kCO0/1VFi/ptZcxQrB2DEFkFkgL2MFOmhqFbXhME+T9ktVYnPy5bGwa7hXhGQHYtwvXuABQEZ450Yk2sS9yd2QfiRDPJskC7ovMymowbRjHkwEHN5SsziYHDxmBDlppVOeUZIWxVwIl6QLE7ZXL1KCXO69DC5z/ZwctNKKBFZY/L6s96bXSCXFWz4ey4zjQo/b8kXZgaZIgSg1Ul9pdLLa7OHBw3UqVsLTZN6tcHoRZIiSr3hMoGIHW+6nHGGBPXKYy+eS2heIEJ+DJilf1etD3ER8tDSo7jg2qJbCiNgTV96LVeqM/wlKzi0YwTIPz5XnZyuCaKHgbE3n5zcE8bTd1W0JZ5oko0sqEGl3sN5IoRBIO0IhGiNpAbRlF6Y4mL6y+0iofJgb8rGWi78OWJpYF5NQ2Ma7v+lgh5GK4fgimn64B6KTqywhAOMYkVKEG5NlL3ClXX+X+zeSPpV0nUCR0gN2e3MZyjBAXn5oc6X2YTPm8vljK1QHaa2O0l9NYUx2jnuWcYQIdqoD7Iu/3oUZkssL5gYrwzIkF9BB46LQWkweILQlGkq4zh+qcfAURZ9tYd6xJjxgOB0isz15Kfrqbi+hvLAFb9WxQGckqrDlCfXEHw5UukiBfGccIMg22b/UipchzJg3RS/OKyURS3iZxYZsLPKAw2XJBjGB7WMAG9mMDK5b3xVYaKVikQDIZio+QJEGVxKgrOIj9nQ0T0C1NsgogT4Iqth0ShJDF9+LJ4zJoZQ8fZfPBLvSZRIgNWk3B7RUsq5kYLkmMT+KjiZUQHZfXiyZP6e8gNqQnCBMEUYwGhgC2Cs/L5yXl2qeRh/E3xvVW5HIiPVqCNEQDC+gVrh/BLaEFGiZ5bnuAJBwiiMZ2QD+tKtG2O23Y0gqfGmybrsF9QpMmhs/ex6fqJFfsrAxyblOdC0V26JqTNgoxahhBDBOAkvPkSb0GsL3bfG79un00WdHH698+g2ogfw9IGotNWO9uvQnUozHaITU6S84o+KYOHVBm0F/fK8KT4MyNjiuj5QouDBFhn/UW2uCgfjz42hnQbTsZVjOxUZzPG4CPX0iznS+im718QSfGTnOIQb+BJA6RxEGapDRG1ByiEQ1JujPICBaQGzHLqtcoq0yywEYq3dEqMJGycPnsT9F1NwrnaslV/t09IergdMW2N3FU5DijvsqjorKtj6QOQFrHbppONUFoPQcAiIKhIUGdHawsb5mQ/suwyY4rp1gC2yVfjguRTXy1UCVF1dIdLeVxGYHqSXAWTxnex+68rPmJ/efUQpNoMWwCcZwmWwwTox6CnVlcS2/07yKGGcmR/p+k8rsBtgpkh8E2YNLfODYPxxXSfdQ88wWTjiIaotc2cYYafSPz19nWMzJU5qXFE7pM/iIlFJJ5ArlqSOxkNLR0SZ6TSxOoY125JEybyO20TCMU1GGSUV0kIFptLu9TK+obaRGr6frwzzAuslN2XBnK+DKrbPV1NYlllRojfRZJuC8L2TBL9O0+xjAP+SxDE/HTvcYFgIrwzInNpINasuTc1wgGGdlZQjeTJLTQwyK6kPxDLpsZFwnwGSInNNTLQC35fjJvmaiR5eziCaZoN5GTKZ4e8nu5bYRYoiQEgsuqDYpZ920b/NliZBehcQ0osk1aQdpA7r+ErmUkrVVrupy9VGqwgRWr7eVYIa1L6GKx08X+zgZWLtvAymAD7fWxHbKfJxf2dvGowQqxULTUxWdM7JK6CHHRHjI6PkkZZDLYduzTJKkJ1KJ0lTwYYxKOMYhGaV4qnyQFmaHsNMSB3R9c9mlaWiTHiSozV/+2IKoxvobLvsiKuRIkCNrldkb8fvre2wDGOHppc5TH9zkK4DGYPnEMuQRC2wuxlFBUZanN2E7fjiNVh5EULi+aUANZHKY1mNhMLJ1k8sySkA6yOE5JG+hGdtwkTn3Rwg5a7R5W2htYaW+iKf2Ly+uK95M/NHub/tTwSTV9v3UdmSzKfVySMyFwqWTVOGA0Ct6IPmxdKCzicYSK8MyJYb+BWsOTMC61bRD7llwKs2Pl9RESUIayF0lUULnxb/4YZZUqqxBfgkU+nu8pkh0BG1rnRMeOQySrZiZVALKy2UZ+nNYiLEwgLimPb3Lj41k1KL8l+3eSSnhckO12Pqdim4nkqIfcpXWACIOogZXDG1hqe+x+OP2EuXhREsBNwKts/hNjYm1grFUd7B6sJUMOg2MARQmAlkoUGyNXsan9NQCGo5SL89nAvQyNOawpOTnpDlpopOov7kccV9wqD0l4xPJHvst2Oc557xmG0gAxWsEOeqtdrEQpMXBJggC7H7F6i56TkJ1TA2AHhuzI3F1PgJ1NYDUGWrrIMtlrwhMgt/mR73Eq2UgXOHmQyFxFLHVvYIBWs4dmNCrva7osvH0a2dGYprblbXxMTNt80qYg/y6qvFy1WkyHorFnRssxztxo+UwlRI8TVIRnTqy2T2Bfu7hy5QlXJDoidcnd03vZcOtyZ3TF2XHBkIhhJonR0otcBVD0kNLkYVrkZ3Md+/rsgWPOs9vDRWS0t0NEpNA+N1etcYBFKbvr+NyGI0nb385R5CJJsk8kQGwArcXV0qbGlbWXmZXL3w5a6Ha6aHVMpnBJs5C5+HZgVvBaPSUqDY45olVR2t6CPccEfLwWb8uA7rL30F3MFSWYJyQ+j22I+Le0cZp5PAmDrD0YTHgCT1efP3/XGMAYk+YIS0HfmbNLSyw1fKpUsVWzypddzZYQaZloVs+UgGdxfkSSw8+HbanYgFckJdSV69w+A3swl4jgcWxsxGqnkBMdIeBifC4nCkkWCVAq4WkfHKO9mhv59tv585UkrJkr+xZsj0ft2s/w2eSUQatXXZD3SG8TkhOr/S4Jj3zSO8CSQ1n4sXpPY8/i8IyQ6h7P8BoXACrCMyeejO8itKLHGfCAx55POmtzmXRHy438Uglz/iCVqhj7mmG2KjXGmrlon68nQ7FM6EIMfBKhCAMMieAEGU1KsinfRURylZAdodSOVBoXzrOJ1GxSnvxctw2Q/i0lEW+uLpCtYCXtgUyQAim3+IItoYsVnMRSGnkme77BEEGQ1j2K0ersYOmwyS7fPAajtjiafp6AHfdHwzVexshjlghk0hIXZO6eIpYXuGwZ2KPIF7yRz5fgconaBhODie09pHyZmtbKu5WenpSQGS15YjLmkULVApnwxRC17667QKQcbTOZ99pNdNMn27MCKuZ1Yo9KI/2LrRxcC1sjOwYUSxHYHXsL+QTczstROEdIwyYsFWU9MOqrMESWIkWjm94rTPtNndrBmQqF4/Zo4/w2jGQqGNvSEd9zguNzFpzpzMRSmpi+yz4hOQMUpT9CMOWctpwWZLL6bto3hoVRO0dvLyMtV0bLM6EiPHNiATuoe+g0Gx3biRhsw+Ay6Q1gq2n8x4gEJEjFykxnpttHyBlyLbkvbwuQZKSqLHVA0R4pzrYLCdSfPimXv655eX3nzXI9UQXKdY2EJl+9SyAyeXJcBn4uPSxYzzG3bcpVamy4G7QTRJ0t1JhMcHGFW+nJnid2PZFAncMrWN6nDWBFEsRGyvp+LikPX1MTIdnl6XouqR+gyE6ZukMTM9eE6r6xo5BcAOSStDbQ7ABAH0k7zNSWptyN9HK8gMjtvFi60+inZEerOOXebIfD5RMCIfF7ItiSNSCXEMpxA6CWAAswai0hPhqjOLfzsbbT9zqAhQhY2DaRnDOvJiZAIgXiMvsw6+zi6jO63rsBJujTyJfjGG03WGY2AADDM9YzVdhtVIRnTvwDLoMvtYSQG5HoLKGLxdSst5XakYibrI/MTLPt4eNk8i6z9/Fdn1VKEUz+rAUVI0f2mZD7W1jByTT1nsStOYkVbGQRSLUxcG5Hk3qdDYaZCLywqocdD4NTFYhbuZAQTvyY38+vWmAiJOQwgonJ0ki9uPiaJgZrzyKArJKTeEWA8drrIk+OqT2EWuil8YAaSFYDY7sh6gQxKGVxP5MJ9urRIf15stRGy6DfTdgGz03aL/eRSdQXQE+O5XvwX0B/cliSFCYylu7MBW2nxJdwkT9uO8CfAJOvT5GCm8tAc3ELFy1vod8xEp88npOt3tX9u9FPg/fxhM1klo3IRRrnkqhxHbXxL0cH3zLbaoPUVsdli0X9SAJj6jQoglGct1tdriPkjVVgrpnDJUn0zTAu9ZG2M9PlK7u+y2ZI2/WQZKxwP31sZB+bhPtIth1iminAniJGZcMzI86Dp/X4wj/8wzOAJUdqidDM4s3FHpY6hhzsT4PZ7aSfQgNMfBfHajclL9qzQ0NIDhsMapStPLKVKOxouEDRHkjyC61gI8uSfhiP4RCO2hmlXbFDzAWlQPYn70sHnXobqLfHaK31gVVk6oSNlF6JGFmoDHt/NRTZFJWiK/aPkL0YQeqInqsoeqm6ypUPSj+XBCF6MBGnu1QtJmJizyUpF9ba61i5bAMHOluoHYRt4yDto9UenI1eT9wCsfURQsOTOIf554mBJ8MEZvLUxMdFDuTaTfpLrxkmQBKPkYSBIT2EXJWVk94MrgE3cHxnbzMXtFeQDgfginPDdZIgjKK+iYBmsw9E/aKkzDdZ8yTsMpZllZVLWqXbQp4D5XzL6sSxe1ySQJUXq76Z2tsg9e6iZzCC+R0nJjec5IILw1wNJiqwmo9caE8n3sbHyXftRchehrrfCYnU6zuR0GkSpcvFz9lFsPhY7tuRsUVjGfV5BZfU93SucQGgIjzzIqkBsUOlFdeBJkzcmyRAEoSWGshnDAn4VVza66lQFAQQFRaL3Vl95ouForexJIP3RalchaVW8reyuZW71+r4MxouosOI8mNqIdCK+thp91LVkS2x4fLl7vkJJHijkCC9As9vb3f7Vtp+IpURW6gyMmiqVBz4JDeZ3E/spQbIAyS20EOvvQ/teJy3C3txSfwSlsDINn1LLfovG/hE5aURIldxaemE9mThSUJJdRhBnFiu50x2TgtUx4katTgBbQ1Ufpe9kkgw2IBW2wUldBwHX3QRHm4Pnqx9kgqt3uJrTVPjCJnl8/j5uGyFuB2ITImfZT122/0AOclhFVmWNkW/wylBqnGdpT7cd7RUUkPOl/7O1/P1Xd/vMhKmCaomZdS/TW7A4sKnLEwBAOy7UMQmjyNUhGdOPOPyv0KwXDRaBuCUNCyhaxkucw4hgV8dY6tkmJywV5F2t2Xdsoto2bro0LlP7sckZwUbOIB1HMJRHD5xArWHATyKnPDwqlne9VntQmRVlXqJNNvAD6yewA90TgDtb2USikmzaCdSsAPRYn0NGtAmzTyJonj0MI0yVcjbiJOfclJUeQaaFOVG2sbeagctHAfQi1poHeyhcTDtD4kQgsQkYpVM55swBs4cPE2MFF1kR1b8oO9se8EqLQ0uukg7StquMLmnZTHGyHaOJus26plMQr+TiZAbeebiHixeQuZ7StbjBEE8RhTSxOuTULn6oJCEAex4cWWrX5dqxrWdoSfbEO5J2Xcv+b6c/vF1AftdG8AOfElG8i1XJGjQefLZV9tc7XE67SDg/sw5t/Q5mqBwn5bfPpLDUh1RJ+vEplpil0pI4wAIkwStwKj8JR6XzwtUsL1XYpPdsI2uvLQquPBc3IeoZNbQZIU9knSeqvycPAaIGPMWozPnqwnbRLJIdmwLGpvw6ACCrLrRL69Jb2HsWfJcU+s4uJmSnYdgCI8ETNPxQnjA1KoYl22IXilztu50UKqFtpeJ87wysTXsc2tBygFC8uhxDdIcCLADTDpAt1PHyWCl4M3jU4MBHOBwv7U6DMWzK0jQinpYXDU5vtrHxvlAricgl/0KkLs7b8OQUd0WXDeeLHgC0DFaAHvCda2UCUE8XZoT6wncgySE5eYuq+1C8tAgQRDFSMIhWhjbJIrL20QxMay0nXhOubKl9+Em0FlBuXKO/ZoociBJVyoPbZvFE7WoKSM6V85h4iLqSrYDYjVmmRqMs8brIJlyvH5uLgmLb5aRe+tQC6525D5YFmsqchy/SNukzSVSumch5SLWxhFlgKU0f8Y01VYXk9L9u4YEZ27DU6m0KpwuXJ4c5nue78etQjJkJEROTXRWabkmExdW7YgBsivsuYvwLKBnSTWknKY8JorqfmxYqqw6u1LLp1YTCLHRZEd7qLgIj/xJiH1NYBia8PDA5zrHNUC7BmZ9HMcoGRgj0eX+CMHauklDkFLOaYkzfYET5VOeX4LASC6CsW0LokmdsoOy6sBqKg2ZrLSaS67LdhGa33tsMrSqyQXOxeSS0pSB1QqmGHacJpGUFYgWt1ecnVwkBtwWCf2xlMRFZJSd2oSOYcPgQp60PvJs5PJ+sMRBIPYs8sykPqL2cdlwuCRbCXKyJ9dk2yg29Obz5DOi43zEzyWV8cEn/ZV9uj6h+q77rvRT6ddSHhkjpN21UX4qYZSF1CREZl8Wp30pCccI0o1J+qn7o0Z9rwhPhZlREZ458WVcg8ARh0fAJIWD7DWUpMc+3qwaWmQgzDYp2gvqTMDqLPPbXiXzd1FpLaCHA8k6lo+OjDTnUeSSHU6RwKtFTXDYWJS8RTTqIU0MmgT5VpO+Y8tE465r6G18vAz4i8i9qxaB9vIY7c4mLm5v2it0uQ6tSMULrRflcV002ZSksS3smPxNCV2rnbbfKmwPKqj7lbWdridJrTjuyqQD9Nq5mk+jSDJyouEKJMiJFzm7vVELGkN0CQMQI8goeR7nppcH8kx6aPRHaPrcvgF7Ag1gr+xlv0D6p6gReWLt0/GapCMnN3GSun2TTYyQHdEWSMqHeggsNNN+rtWNmrjyb5YILarfvnckewCe7S6EMH1slX7D8V3DRYJ8xIgNsfWfkEsfwWQwKT2VbnPZ47AkbRHm/dVSzfS8GvJz6k3+HKfStHGqDjdP1heKYXLKvX3XEePMAw9eIOZGFeGZE//vsWehtuPw0gIKCTpzS49BQUUFiFGw7fYtEhtDgoA82F0P2pYnI1BpckPL3Vvr2qd16LKBSeeD2oQdTdXlMh3TuemEMtk23h/dbTMJ7HhuKZ2yrj59QoDMgyS0f5edU/MN4mWkyqVW0DFKNNEiQlHvAPXVMdqdLaADbHdy8sOJMiMM0Up6iHjAZwmT/C5bjUtdfKRPJkcOLpdG191e25flTmIbJd3vMkVqMEQjGCKIjGs2YHthxQGyxIsSqEEy23fT4A2cAV3u0UhtJVbSo9ewni4AemhuwkxwOkO9tt1gFZKP+ElAv03aru1JYO4xoTbXJEdyWUmKB/m0mj0xBr/hII17s6kIkIu4sGSPJ2lW67B0g8+bZzGg7OhcgQf7bUNcWbrB9mfmc2wFlQQcgSV5XBHHBz22aDWiHl+Y1GovR1cbuNqMJZl8jlJhZyowIks1Cf7omUXrXff2XUdFeGZGRXjmxFJnC7Vlf+8KwgRBwIkyxe6m6LHFE8gQw8ybZ0g0aYAGGpDs5XF2fCG2TLgPQTy2yY7LzoMxjRDF9KftF2QQaSJXnWgxcwIreFqtaQb7BZJOuGzlNNEB/MTFKm5sSE/mSRLCGWtEip+fqIxc+QA9yPraidURAg4SxzdO/1rhGEAPQRRnUpQAJsFkoz9CjducRfrSzk213VzAHuR5m664ngCUy3eufs1JOm/XEkfthg4I2Slszq7js22TPq5Jvheuid5lGOxqhxi26lS5JPNzrJEqrA7j5TRJyc5OHwhj08dHyB8Tg8l8RuSpLJNYeZppsNSJweou3ibXkX6pib6r3Zr0SfUXsjMIcru/AAmGQUqCg5j6QE56vFG0XYsJjhS+rcrHYxqPceKNxqoufQ/dNvwu91FsNzlH34/3V3jcoSI8c+Kno/tQj1re/TpTs4jqc68q28ZDUkFo3ywhPl0sYSnNtC4JDAFkhKqFHhrBEK2gh4Woh2gwNF4+rkERKBc7u+wAWKXCBAfIJQTa20POY1VBuqKrbwH1AbCcnjNxleccoFAOR7lqMpiKTQfbC8knYA+yonqQ3EQnYFaIa0CtA7Q7Y7SjPhD2c7sSuQcbmkp59D14YuRyuFayTIL0RJCeO0qv30p6aASDLAO9i6SbT9vDLMhsHqA+g7SIQ5hkrmEmJWphJzO614EedTgESQ47aZoIwwByOxiul3zXEh/AnkRln0hORGXI7d2BO6t9+qxqKcmpuyZjV/9WNj+ArRrL9qeLgkzyw8Sa+4lM+C6DdNZGct9YhFt9xpINUnX6AjDy4itAnHsZSt/leEhcZ24jIRzLyNvbtcDQNj8uZwgt2Z4F3OZcRmkbvrZr8XKusRtj6HkyDp9tnA+P63GFZ+EraDpsGkSCI67KEilYTH13UtUAEyEAYPdnAbufi0O7dmcXGVAPLbTS6M0AgAgI4j4iwCY9/BK7VlyuwZkHZhlQpeoyWPJgw+fJYCTJMcUAWX6nk3itbHCa5SX0lXnG6/gMTLV9UT001w5FGiTqDtekIWD1QAe5988q7IB4bbqWS2zPhEcTFn42THBY1RbZ7ve+hJ4Co5IYo4ERWk5xwmzQni4SM8qEbQgywsOG8zbhyXOwmZAOuR1bHKTpD6QNXNCSL9d2IJ9IpX/GMBnD5Tzpszq4H5/rIjo+Y2Ke6NNr1mD6Ymb/Q+eFYaoGi42U1LoWSVAL5E6/86IKW4StFuM20YSnDYxSyY5Owmqax0iehRg3+inZ0V5u2ivMNfNIv/VBq7B8HqB6LAKmPyOfVCii43zwSZ9nkErvChKcuUrrApFaVYRnTrANjgtJaoMh4ccjh5uyHth5IAfyRJaybYBGZgBtzslTHLTSRAiD1BB0CV3stHtotIdW5m4ABaNSy97HFN5AEyKZdGUFLIOYSHdchqN6FaYlFr7JwPXd5bGhoScgvc1zPMfvqVP96+o455vim1Bd95L2GMBuD56kmPDwvV33ZKkOny+fct10UqzFgDG7GDvdxX0Zy61bn+6gOBgjDsYYNhOEqcoXyKUDQfbOFMMisA1cJv9kslbW7g57HZcnWTZXsGGynpzFZsr1fLTUQr77yDi/B9QXagOg5Xs3+Pn6PBb182GVDJdPtnF/EdIU0+9UclQPgSQcAc0egsBWp5vbpMR0MDR9hCUm6ULBK10DivXwzUpM8OR5yJikiYtPMuQKj6HPCWFLuNaQZY7HKjKj/kFkiKAPpxYmcL/Eu4xKwjMzKsIzJ3zRNdlFll3EIwyxiC52Uk8UnbJARzaOEWADJrbLMbVPl4GzsGceLPQ7CGKEARG0yCZs0/JOyb3yCD9DtAa9XGTNq169CirzhCrrdVriNI3A8MpNu7/LKto3SSXqPD1w+s7jOg/UtXwDR4zcJkEmlC2Y1baynQHgNjJlOwzfxKFtVQbI7DvqoW0XVTjXBX0fV9vLdtdkk6IeAvVwbDxdwhEQbVm50zhUQn7rnBi5vMEmNOkLcWVCMy2uSnafeIwgooSZon5UnoVTJUnTjMRZqsPxbcT4mj2UyqQKroWC3takbSFytZGQbK36A4p9nySzzSbQjEbm2bnsYZjMse2QXJ/VjoxZZiAfqXXVwQW96GI1u6u9dT84BOAg0D8IrLdXcRxr6GIJW1jCwCHtF/SCGMBfTKlchb1ERXjmROR00jXqpzAlLIJcLN/IVrDygmg3cI6RoyMluyaCzH4Hw4zomKjOO5n4n6VC5jxbJaYDIjIREnBAxBZ2EEUDLESp2zQGaG33EcTGLkdgQrEXXZFZHO6KSqyJmKjxbDuBIvETL7VoABOhWK+gXcSpTAIlRAbqnMRxbb6fBk8kTK626RhtbOqyxxFbIVZd6UnHBdfK1YdZ1T9yvTJVDuCWNrB0omkIRj00NkzcZ1xwSaB8gQtdsX44zo+OnxKGSZoKQxEfJs4uUsFqIFU/V32y94TJjngnsdej2L34iL0m6lll6Xsfub2dHCu/ZZuLuISwCQv3+TJC54JLChU7ts0KrUIO8oCBEpySA1MCKI4NrGoTFfM2ihI9CUp4EMBh4NShOo4Gh3AUB7GOA5mHIScz1uhjiD0hPJWEZ2ZUhGeXIKoq+W4Iji26jxFkhsd6smfCI79d0Y8FHKdEzjQ2REaF1kgTWmqJTdk9XMlGjdv8jpUMdQ3rWMNxrGADaANLm325OIBURRCYASgOgozsiF0TEx+XMSy7PWtSxsea77HximsPEbQTRJ1BPsC5RN1Q23T0WZ/Eio9V7vaWJMA1KfJEL5+i3hLCo4/vI48Qm7ZnNknJcfxZhmnH+AjO6Y4OZzB4BnFOEpjksDrN6/WTog5Q2UUaxGo8fxz9Gk96QK4y9ElbHG0nUiatAgz1pCo2K7KNiRabTvlUMn24iY9cX/obSxDlOnJ9X/9jG70QubH0tH4367Nn8k4G9i6pn0aZwbzYnum+Y3k8si2iPAcut0ikUnVWvwN0A7HFFBn6QsHQXmPo3HoWEANnHOOwsuGpMC9yKUmeeHIBvWy/L3v59OvaowhLfsRQWl6+DbSybVqKNECUxT3ZwH5sJCs4cWQNON4EjgPYgFn1yGAYAlgB8CSg/tRTeOra3+OH8W38KP4WT4X5/oN4CFHzGOrbY0vKEYbmhZfAcnnMldyIW3vlSF2F6HCaDZ8rdMFrKIgRthOg7be30lItuU/2PUkKtk9ZjCMOjjZL+gGXgSSr0FyqQBlwJQ9WB/YEptVdLsxqF8H3nedYtvdg8KSSqOPnIGlOO7NpxqaucqSw7HQKN0M+8aUEYdQGhipOkpbtsvQxCzY6GKLRH2flrmviIojok72StGQRtF2rZKap3Lh/iJQwpvNOwf3cmYz4pIouyY3vt0vaJ/26aT6/f3ARx3AQR3EI61jLxgsJSslSbYnNtIINrAQbWMNx7MdGnoNOe9Pp+i3CXkxImfi4KCU67cWsPBtYwXEcyGJJSewoHwbel7PCuUJFeObEPs8kqiHHNGa4phAaV2BB/hTIVC3RandIujRAlJEJrRrrYQEb2I/1wRo2j6wB36kD3wHwvfTvePonE3ETwAEAPwiMfmwZX/+JH0fvyhYked4a1o1tUhgAoMzfoV1WkfD0sJARLiMOtkmZS7rjilI9T/tPa28X6QkCE1NEEEbkMbRqvIqWNvsmxcYp2KJxJjA8ibFEiG05XN4rkfqtJzO9CtfQ26aNu3S8y6iXVUdZRnKGLj/gJkMzwmlAXWZvZRXWcZ7ero8RoiNljoyUqReZ90tsNVh9wQQ5IpWveElm0hxXGQUcPsBXNlBdtRpGE58y6YpLveo7TvoWS3XY9Z1Jj6/9XfZvuixpvUcR0MUijuIQHsVhPIJLcQwHcRIrKaloZKRSiM4BHMcleBQADAkKuqjFI9sOiu/FpNahfgRgJagdNuvoBS1rkSYLtZ3UepIDZbowRNE54KxgN6QzlYSnggs7WMBkJhozm0RH28uYbT5j5Ti7rsT6GSLKBmFDFAbZeZKXSc5poWdskKIBFp7Sw/riAYwOLAM/iJzsiISHCc+TAPzICD/0lG/iCnwDP4xv41I8gsN4FAdxzKScOIFcMpSqk9rxGOhsAFGuSpM2CZEUBgxXvQdUP24juw2LBFGTSPt4aZOcRPEq0nWu2GINMTSr/U6E1mIPC+2RIT68AhfwylwmKk2QdJRqlobIhNJPz5NJbxN2Zmh9niOY4CgqN9ydBUE8RhICQWAkeDUmNSLREaNYiRUDOqZkwmE7DLmXoC6vCKtjEpSTHp54tVQI6hwpSxumnZeB5imgubyFfmcLS+2uM/6MOdVWDJtI06Y+YTqh18qIyDQVUAIjCenTp5bs+FS3uv4uMu6Cy/aGyypqsDIpjr6eq1x9AJvGZupSHEHUGWINx3EYjzptZCSEQQs7KfE5aaJwJxtYXk/HICE7/Jzl/lJGUSmn+yToaD3tp/UQCOIRsNizSHu+OMpDKQxK5oL+Xim1KpXWzKgIz5w4gVWUZUvX8Ol3ffCRnVmuHyJJDZd76b6wcKyQpB4WMFyL0FtrWRIhrWYykpzjOIRjuBSP4AfxEC7Dd/CD+A4uHTyC9sPjPFu6rKpk8tg0gfVaayewsJoHj5OVkoirAWSDWm7U3ADHLdLSKm4fbeTM0iGXWstnyO0z3Ja21dKgRjA0NkMd27iaiVeUDLCwNUJdPHHYWHUWrxwhOduOfQyxB+Es0GvIIuT22s1stSxB/1xt4pMyAsjUMNpjKjPGjWHbpJRIpTTJ0camiHKD0zAxLtvZNZlEuiZ6beeijdP18Ux4OE/VMtBcBJrtPtDuF1WIJXUaNvdhJzWUnpZkEpi+OMpIuCONg/m0j8/sVjThdkmFZrG7mXZc6Pkuv/U2WVRtA3jUkJ4faJ7AD0QngOa33K73mvjOQma5PCHsqMr8PFX56xFQPzXCUnsTS+0ulqJuJqEWW8Qyg2UA6M3UsBX2EhXhmRPaY4q3u+B6IfTg5ppcNeZR4+TH2isMY8w8QJK6sDOZcHlOic58BRs4iKM4jEdxGI/hEjyKNayjvT62PUtc9gehCZbWivoYtncKaiyWQMn2ISKESLLSD0lx4IrVIkTExD0aWm3oUoOJNEe+i6RHklYaNKxzhsglR8NU1jNIiSMbV9v3TtAIBljqbKHV7KEdkIhbT7ia8PBArgmRb8IW6ZLYXKTHJOE+R9A4W7KWt0duAM+SrwKsbm3qZUl9EhQlUGlZfWRHvxeF94AnOC3lkXYBbLWXlr5po3SWjOkYSUyaJHAmqF7K9qcWGamOSNK4Tr7xQW8vm0Cze/Knx4REFgBZGIl0AWKRCE0A7IK4P02hi2VilaZIVQB3H+B7ONTgzt/6fnxM2T00+LlzOT3vXg1AC2MA3aytpW2nEZ76XolNKgnPzKgIz5xYxQlnpGVgNmnOvBIf3wul1S3u7/koxYbOQh6CdJUCIP0dZ+XzTXRCIKJkYE8QOlt6XlCgCTQDYCnsZrGAjM1DHiGaXfKljJK4kgmP9iYrI4umTsFUwfJsZLJIZlwqNC6HEMYF7GAp6mLt8HHsP5SK39eQk0Xt1s62Ko4Add52ZkmGnLsNtJpjJKERz7M3oav+pRIeBZZcJCGQxOPUhsV9vFapJSUSEG7PzGhZE0BtrCtFZbKSOI7VKg8tHWApEqsHfRIeOqYWAs0IQHOMdtAvSilIGiSB6yQ3lajMfN5J08YObV8UIEEvWkAr2kGr3UOrPUZN0mSwOiy/AV+s2EZAse9paQm3CUvA+Fi+Jre3/u7regl9atWavg9gv1tMVn3nSLlTaWUtNqQnCXtIUhJrYoaXPw/XwvWsIAbO2Fxoj8yNzjUqwjMnLsERLPjDt502mGi4pB4uaJVO2STMeb16qUi2gSF2sJDdV6QqXBZGiJw2NfqjnOjIn6wWZZXHf32gPRij1dlEq9PLYvNwQlUXKROpkyY7ur2ELLHUioM8TpO0aY+2MrgkVC6ESAzZQRcrOIkDWMdasI61g8dx4OA6lpIuljZHeewgc3Hb9X0LdmA6PUFrqU9C58ok3ASWMELQ7qKRuvtquIJpWnVJEicxiYMAgyBdAPgdVk4LRmUmN0JOXHQ4AJ6c9STqsnXp0zWBfBQUw1xOG8KeSnwsYE/yFF/IIkdaCpGSo5qoy5ZH6HdG6LYXkSDIjGF9kuTY6qfT1WDZWxQN0YiM0b32RmR7qZm947gNpF6UwkTH39JjmSxhCg4ALDH22WjZDTKbSq4MLomVUhHXYN4hdLoWWSobo/ddKGKTxxEqwjMnjOXJ7hIeTXAayFUtvI/h8jTSBIghRsJsYCnX0EQJcJMdPjbQhEavyETiwF4hsbEraESjzHg1gE00xP03L2OuVnERMSZHArOgsyVWDE109HV9JMZFtvh4/YzYaJzTgQi1QwCg08VCMLLzQkXIbXZk4haVlahefIjVd2n32Nh7hGFSWN26spy7wMcJ+XGpbGYh6cXvJbMWT7QJnP2qMLfMa0TL95JP6cMusiO/mRgFyAP0sVE5n88eeDC/owHQa0tWvRKJmqOf+RYnudE/snNkUSHvhfFGTCyi6optE6UXqbna2iGx6gV5rC298BCIhV6MAOgAS+gbOzAxtJe+Pq1rzkp29HX0eS6VnBDsNDaSeYeSLDWKUfmG3mc2i+R4V5DgzFValYSngguxR1ogOB37G5nMOVLzLBOJUAItyfDZDWhpCNvtBIixgB00KIaQGC2vYMP6XELXrMhkJcarbVnV8oAS0PYQ6QBqSA9PnEFaEimrEAMJ2MiDJj+DBcrorY8pk+L42kK3I5+jr8331P0is6NAL+sXLGULYKQmvY6ZFgDYkWE3kU8AojZpohjdWSZdMbhdRm6Am0687G5eRnDKkoq6TyhOwL5AmfkpSTaxNvojS6ogyCZXbXS7hVzK45qApd9xn2My6aqeliIBtipMq3PySuX30mocl+qE1T2Uq6nWBlY7fay2+271mUMFptW93Af14iQP7cCku5iqQ6saB1EDSRRioz19QZATr+LYI56jPpf+rD+yi74Q+92Q4PikVL7+4JsV03JI2RME1qJGY88ITwzg9Bwvc1SEp8KZwmcH4QokKMeIdIcNjl2Gjay24ezs8p2NfHWZtNorRJIa+xZTUSxhCys4iTWs58G+tjdt8bM2WpbJVxDBsvepbcscNEKQznJJ+hkHuTRHiBiLjV3SA10fl7eU3d65vYS0lc9eiJ+RJjc6TYaeEDj55QJ6Wb0GaKCLJQzQQAstsEQuCBI02gO02jtodXpG5bUJk35gEXa2eZb0sK2JypRews/NPR0JZs139/G5LY6PUPvtzsRzrRAN26W+0DZMLiNkn8pDJk62KwHcIx6TK1bPsmrRdS+PUbZzO9R+/bxEQuQK8JeqJZttoLk6AjojoLOF0SrQ7TSdXkNOr0IMs7bPAmkyoQjHafiCcebVJ2OKBBCd5jigg4WyQb+2FbOM5UNj8F0DtY22F9LtOCvYLkj3J1f8Iv3MiByZvGviFTpIx253fx/tFYuoCM/MqAjPnBgjjyWjUfT0se1sALcEyLWtTIokZMd8D1KpQTTXikJWfjyFa28mkU60rIDqPSOh2YLfaFlPMNu0LV151wA04zzkfxzIKnNkee6wZMc1mUp5eQCVLPHiMg3k0gP2DhpEDbSwk3paDTLio+/J7Z6TpRBDDDFIPbZ8Uh4Z8F2eYkBuWJ2ofhLAiM4b0QhNsQ0Rkb9vAuDJnbtoetsgBhr9kTeBpoYvr1Xh3BmW4FZutNQ2pyYrbFccGa3GYnXWtNu52kITH35MUgbZJ+WYVX2oVS9aPcLQ9ldyL7G54ndFysmBEamO9RBohf1scSGLA/nO/U5sdjKi6ZFwhGHxuScIUxlRng/PbJeem2TkZpiuboJ0scJlMcUuX/xZbRmk330E0kVi9bApbSwEJ3QcoxF6/gK5ZFiQ8LqQFEN0VjjHqAjPnDiBVTQ9waYCevFlRS+5qHKnYHdsGHN+Ptm5ghAyWEfey2jJQparSrKzu9QseVmLBs6arIlb+hrWcXjwqIm78xCAhwE8AuAoTBweF+FhaUMTttRBDGrTU+ohfQZjoDkGglFuCKonLIZeCfo8SkAZw9OklQj7QLRZCNQnrtMCJklsIM1GpkKEyqAHeK0iFbuA7Ph2jCDumzJz+7KbNGi7XIpXtIHxHsqzpY+LE2pgG5yaHGiRtw9ZRDlJ0Or3bakBlzdrRLjVCjzxagmPPk76QYJcCiBkQElFrGfapE+WoMh9hLRv0ifHSpolmrHcexq47eV6snBgsNSomZZHDGl1nKDI4RHG9ZsFoYl31JRo0YtFey9WM+en2RIekZPOEhU9QZj3QYzsoJYOFaKo9jiuFOfo48WglFeiYIs6fmV7E02dpZ69H6W9Se3YXzVpJvKUFwvZ++EjPNuIYULZn2WMUEl4ZsR5TXjuuOMO3Hnnnda2Q4cO4ciRIwCAyWSCO++8E+9///tx8uRJXHPNNXjf+96HK6+8Mjt+MBjg1ltvxUc/+lHs7Ozg+c9/Pu6++2486UlPOq0yHcNBRB53FFFdJNhJyYKxieHg5K2kZ9ktAPB7RGj3WYa8lJz7p5nn/nF5RgBuAuVboUsdlra30HwUhtgI0XkYgGxbR55xOD/Ztmtg2wSXi6/UKXQcN43wzALfvTySgBpyEgakUViFJC3CVkWkJE5nyGZJFcfBkcGSnxHbTbEkK0SCcDFBmIxMH+Gy+gwvebIoyyvEpHQRqCVAEBi1IqszdLBHqYnZG6PRH5kJREiB3NM30c4iiNR10QbxpjDF/sASEVbtiTqQElQKGv2xO4u5xK45heKkuBv1knN0/Crfuy51U4uGgu2LgPs2v3M+zzMiivUEAEbAYje10wrosqxythdNPommuXyxgbLrZqQHTs8xSfcwCKIsNc1Gls54xcq9xap86aeSCmcNx3GgvY6D7aM4cGjdhIhwqeTTdp50gJOrzfR+K9jAfnSxaKkRfdjZq0jLY5y50fKZnv84wXlNeADgyiuvxKc+9ansd0CusW9/+9vxzne+E/fccw+e9rSn4S1veQte+MIX4hvf+AaWlpYAALfccgs+8YlP4GMf+xjW1tbw+te/Hi95yUvwwAMPWNc6U7DY1v4ua+R0GkvF+V4DTdeny7gugOURUt8G6s0x2tFWNqBznBOfoWqZkWoQj9GUSeBY+ncChuAog+XJNsCXClOpQlZGNmhWIuL8JNiDsh6cfeeVwdfDmTw5jERLJ45TsCfTLVPOWpRKUbIJeQyEY0zCEQZRH712Mw1XNsAOWmh4CE9OKlJj0zgppicoawOtFtLbgdwFm7cFJsJsNBgiicJsFS+2ITJhWcqNwdCoOF0B+2aRLEw7Ri8CZoVLHUFkhyM7G/uxkUlhIZGiufzy3H11mqdcLMnS77iLxMr9y+4n1/H12RDmuQhBStR+Nn6ndjapFkaIO730kkmm+tUEyHzaEc+1WT+jELdKRZBOwn1kTE0G1Z6Ob1vXBY7tfps+L2QBgzCVphvZ1Q5amQ2eTijL6J//0+sFh/P+iYRhiIsvvriwfTKZ4N3vfjfe+MY34mUvexkA4IMf/CAOHTqEj3zkI3j1q1+Nzc1NfOADH8CHPvQhvOAFLwAAfPjDH8all16KT33qU3jRi140d3nWsO5UafFEtUDiU8lfZdlvUKtnSQa1NwobUMp+wBbdmxunF8o3GdXF2Ey4AIzME+7Jj8cdl+smxzwRskOkp3cC6G6DcsKfPur0GQamHmFKIDICJSjrubPo6OXTZ+uh76ElB6JWYAkCqcT4XrUAaIZAs0mqB5Zi6XvpZ6KlHbQats4J4JYQciA3ZQdSqFcTaLcNcUZzqyhZ47K4gsWVSSWlPvo6vN0FreYqO95FXFPvtlEE7Czmgf4ykhkkGHQSRIupMfUaUDuMYq4zj5rF+vT1Hym7612X/Gryzs9KFl1qMF0uvVDQiwb9TkmfFElPG1iN+ia1RvOE3Wc1fCpl/Z3vpRYTrrxqbBwvUmcz1g6xgpNTDapZyrMo0vbNfp7uhY3Spc2AzDZqmDoZrGMty+Z+EitZUlkfhlZUx7OIGI6MvnOikvCcH/jWt76Fw4cPI4oiXHPNNbjrrrvwQz/0Q3jooYdw5MgRXH/99dmxURThuuuuw/33349Xv/rVeOCBBzAajaxjDh8+jGc84xm4//77SwnPYDDAYJCPJqdOnQJgIi37Ag9qcX8jXaWzTY4XTC5YjM6ReF3khO0bZLtvNeyabMoGKdB9Kdv36BRwags4lQA7MH8xMlplXWZE+/h72XgeIhWpJ0CYPgImQ2XnMXzHhrQ/dHy67hcGwEITaJFe38pbJeotB+EBUFTxhWqfPl6TIu2urO8jEynH6pHn5vNIcd1Lqz98k/e80FInV5+dF7OQ3tRIHqlkRwfDM4eYm3eDRQTtBGHbY9/miUOkjer1try4NPlK0Em1gMAp2B54rnbjSNPaLsrVBrqvlT1Tl4TVJ2mdhrKFB/drUdEtGhf9emR7AnLAS5GWZ9npU5RLfkxS10Z/bMJp8IKS3wtpawn/kKrSBmighwWcxArWsYZHcRjHsYatVIXmu3e8K8vAGVARnplxXhOea665Bv/9v/93PO1pT8PRo0fxlre8Bc95znPwN3/zN5kdz6FDh6xzDh06hO9+97sAgCNHjqDRaGD//v2FY+R8H9761rcW7IcAeYHcFmL5kJertGTwk1Dkg6iBMExy0W08RgRjP4EBcm8cmaTEINPFl/Q29ngB/CttHzlySXj0QEvH1NXpLASoIydAvrls5NjG13R1Tn1O3bFPtuly8XFyn1B9Qn2XIXUhAeI0GGCLLybtsw0zcJepw1yrbNfkwROMrLZ1mgPt7QPY7rZSLpdUx6eW0VKcWeEqvwuuh+rrm9Pu4TpW6uYw5pY4RDpwgWwzxU5S9UUOS/XiqJcvzlN+a9sJgK8Xp1LMTLomu+R5cz1ZOsSdto+8H01Th0nxfOoz3iYqMA4AKERYq89cmEZ2tNSxiXz8asKo0iOjEtZvvTxLcSpgibn2QBRPTSuZquud0OUjYii9JYsMja5lI+QjPCMiZBXOD5zXhOfFL35x9v2qq67Ctddeix/+4R/GBz/4QTz72c8GANRqNrWdTCaFbRqzHHP77bfjda97Xfb71KlTuPTSS0sjLbN7t4BjvgwxRIAFE6kzMINhEKVxV6K+ycGzCXsilNWGSEd5kpMXmMXucowvRolrVc2EynU870/tPFYDYGcAxDEwSs9hG54RcukP/2nC4iI9er+QE41whvNd9+DrhWm5+In6JEUhgIVtYy+1AGAhlfosRKm6zaWe4hWzltr4SA8TnUXkK2CWIrkkPIDbE0pXzDUJTiMUCexJjK+l66AlV0zIeKLW9ygjWvOQMCF6UpZUTTKI2LNOwjqE6acdxckXjBLZZbVXUi7VNc4KAysGTXYeBfsLhUSIhHANbmkNkx2ORaQlFD57LZ8Ut4xsqnc+a0sXfNunkR751JIo3qavHxoVMUIzDiEE6pZTw3h2G78Adrwwvl/6vgYx0MIO1rCOBoZYwQYO4zF0sZRJCn3YwRB/NGNRzggjVBKeGXFeEx6NdruNq666Ct/61rfw0pe+FICR4lxyySXZMceOHcukPhdffDGGwyFOnjxpSXmOHTuG5zznOaX3iqIIUVTUzxqDTb8PH3snmHVBkrov5hmoATb0S4zxajtEEvbQ1tcmkXxhUmPxNEtgpg2CPgmPT9LD+0wlUQuBVnrviRo448SQoJ0+sJMYKT13NFFvAbkkqExVpSU3riJR0bwkSM7n/fJdkx4XQtjkp54AYUqAZJu+l5zjJEc+7zMdlE7bC7lUZwzfROaaCHzqDS3+AtwTYJkES19PjNdd0oOy8uuy+uATCyL18iHyoiU8Qmx0kD35dBnqilfmErayVf9KWpkIQ7SSHha2RpaDgsYkXdAUjNJ1vXhho/PXiYekNhnR6kM+ZhZyOYv0bV4SNO2e08AqNt8iwEfo+X3TqmVNsGgBEyUDrAQbkITHeYCR8jAU29PMGHYLCSrCMyMeV4RnMBjg61//Op773Ofisssuw8UXX4x7770Xz3rWswAAw+EQn/3sZ/G2t70NAHD11VejXq/j3nvvxctf/nIAwGOPPYavfe1rePvb335aZVjENtpTlhA6zxVDVolCftiHYBg1MDjYQ9QZorU9NiJYGcw0MWGjZo54LIZ4cq4eSLTtj2zzDXIuWyE5PiVhNdWL6jEyo+N6H6gPDLFYRi7l2aHLarg65azZy/aiQ5dJg3yIE0MAAUOU6oDtLcMXFMIqag6e8MpUZ4CbeLhiz+jC+6Q3Gq6JQb5rAs7fAVvqwt+1LnHeh+irh7RbGmbp0GATvXYXvaiVvXPmsDx4J8d14fABOuZKADuK9hK2srNE0jNPmg4d98mqXpjOZ1oaIqqvNNeT893V76zrtwvTpEWFQs64TUPKwGpa31gUevbxO1LmdCBBHZns+Ai6SI8ioL49wqg9QqvZQy/aKQ37wdi6UILbPI5wXhOeW2+9FT/3cz+HJz/5yTh27Bje8pa34NSpU7jxxhtRq9Vwyy234K677sLll1+Oyy+/HHfddRdarRZuuOEGAECn08GrXvUqvP71r8fa2hpWV1dx66234qqrrsq8tubFD+ARLJVEeXKJyGU7RyhlFBw4owCDqChKl2vLILuCDZOBG+u46NiWiYujY+OUGTu7PsvseNhGxOU6T6jBTOp1GKJzWjhbvVO3h0u1p4+DkWTJHDaKjTpvJ7W1YKmVHqdl+ygBdrZtQ2gBx/wRz7S6K2ie9u4C/WaD6jUYddgqbAmRa3B3FXqWfT5ViXwvu6as0kXyw9cpO6cMWsUnC4L0vBqAdjhGG1vF89iANv3rt5GGEshJj10cdzTjIE7Q6I8zyY6W3rhsUFweSda92uK2PXanhSgjKC6yw8f5xgf9fvsWRrMSaYbLAJvThpS9k7Io0NKZaUTdR85d5WdJUDMlPu0x2s2tcg9Lwqmue/tZwXksofmt3/ot/Mmf/Am+8pWvoNFoYGNjo3DMww8/jF/91V/FX/zFX2BhYQE33HADfvu3fxuNRq4y/OpXv4rXvva1+PKXv4zV1VW8+tWvxn/8j/9xqnkK47wmPN/73vfwi7/4izh+/DguuugiPPvZz8YXv/hFPOUpTwEA/MZv/AZ2dnbwmte8Jgs8+MlPfjKLwQMA73rXuxCGIV7+8pdngQfvueee047Bs5acwHJSbGDttZHb7USWntdnO8B5sHppnIc8L5Y92DYwyHJcHcIxHMajuPTgI7i08wja7XE+aJ+AO1jaPK7BMigx2WHPH1l1+VyeXSspl7RhL1A2sLu8XdTEUYtT77HYSK0mfUNOYmkjGHLjqppWo8VcBvoewlxL1GD10KjC6jzIukTw7DkWpp+iCu0gIz4j8oABUAiACUyJlEztYRHhWG33nZdVUgpAv8sI0iyTKN9PJlFW7XI5uUxaRZKGGWi20yjG7b5xmU5DAQhRcamqSlVTBE12rLhArh4kdY70Zv8NddZzjv/ljGTMtlauNvQsbszNZvjOxJav7TKCdt0joc/Ac4y+p2u7fPrshOQ39wtWm7FarQzbU/ZfIBgOh/iX//Jf4tprr8UHPvCBwv4kSfCzP/uzuOiii/D5z38e6+vruPHGGzGZTPCe97wHgLGhfeELX4jnPe95+Ku/+it885vfxE033YR2u43Xv/71M5elNplMzmNueP7g1KlT6HQ6+PrmfiwtuxmlFo3zp85qLMcDOUliiQ6H9deiUw6VvobjmZTnUHIUy4+O8lg5otpiTCM7ehBhwrMNt/2Ay91ZJmcxvOXJZNqAMYvUSe4j0ISKy8Hl4mu7Aj2yh5Mui0vK5TIcnUEypA29tZ0SxyHK7H5cxFHqJdKJZRjpzkH6ZCmPGE+74CMSWnIimCYthOdYl9SBj2G4ruWb6FzSCdeEzffmtlQSnoLNlMtuivuY79ko+LyMfFKeOMjHAL2QKnOB16kexJi6td0vzadVkBAJyiRwrnGj7DdLeMoMsaeR53n6h+8afB4/S02CuX+47IUUTm0DnecDm5ubWF4+bTm3//rpnGQG+jO9/ikAnbNWVgC45557cMsttxQkPP/3//5fvOQlL8EjjzyCw4cPAwA+9rGP4aabbsKxY8ewvLyM3/3d38Xtt9+Oo0ePZra1//k//2e85z3vwfe+972ZpTzntYTnfMQxXISeZ2aQAUnSB+xkkho7i3nRFsAelCIMsIT1zBYg9/YQQ+c8oqmotyQmRX/V5MKxPD7yAhro1XgZ2UmQB0jjGEFiM9REMZWADAwiWTgI4BDyyXfNhGyXvE0CvRKt8UrTQyaYWHF6DZ393I5kHFvtLcaldT3o+iZQbgsJHMc2U+q8WioRwnb6uYVsZTvpAz5TDyvYopbqlE1ESXr9EzDqTZ3DLGtw2OSUVTss0pf7W4WjTz34u14Pfo6aYE6z3dDn+VQ0+lgm5a54ROx5plfwepLTBF2v/n0kidsqhUiB6vKZuaCP1afkjhqh126ih4UsvcE61qyUChL512TvzvP5LaGL/WkuvDWs4wCOY6W9gZVwA+3NcTGidPo8Oa9aL8ilzDLGMby5tNJkpYUca6B7agmcT4XG5+k+MIN0ttDvdCwjPof7PRNXGdOWYQca9WEvVVq7BIk3J/A57+wmvvCFL+AZz3hGRnYA4EUvehEGgwEeeOABPO95z8MXvvAFXHfddVZZXvSiF+H222/Hd77zHVx22WUz3asiPHNiBwvY5yU8ISXzXEh9N5Ys0sMrMyYuEgk0RJIZPsrZC45oza7Q7XEQIAgT9FO1ls4ULiis7HyrbNkug3qY7pfBKVLnArY9idiSHAJw2PyNLgHWOx1sYMXKRRMgAQKgEQ0Kq1NtH8EYRDbB1OpAuYde/S5kxLKLhWAHS50uWh3T5g0M0Rr0CtnWMyNyTjDJ0Vo18dMSITlGwg+ExsVWJrxJXDQALyURPEDLfft0LG+T+7qkYtorjGP+CLQKiMumpE8uA9xswhP1BceZYSkkr7I1qSubGPl8n0TSJz1g0ifkpSwMANeX7ab09USl6MI0KVWKWgyI9l0kO12YJJYS9VcHwZP3RdTeO2ghTrdn+f7CABmx4numZecEnXr84vfJRXbMQm2IRjBA1B4W3l1JGRHEQNik8YiN9GchO65I3z4CnKR18zmBuMhSk7axxJr6yKiEC4xmt1k/b3DppZdav9/85jfjjjvuOKv3PHLkSCGe3v79+9FoNLJ4eUeOHMEP/uAPWsfIOUeOHKkIz9mCmV59hCdJP0W1ZeJzLKAHTggpyffku5CXGMY9tosliF1PF0uFzMN2vqVcyhPB5EBqoZfH+UCJXUGAfCCQSbPMvoIDpGmSwytFGRh44t0CsGny8xxKNrHk8JbxIYFJZokAhYmf1YjSNq00U72o/Vh1KCSTvWw4horAFSAySNVMmUt1B7YkQQ/UvJrcgk2OOKR92naWUHZWNQOQPyMmpi6Re6yOl3MWkavDxA4onchFauaDTvLogkW4pV9IGfUKncHtx2oPF6ZNLrHjr0y1IR5QvnhJ2sbDk6i0IOXxvYu+OgQmzsxqu4/V9hH80NoR9FeBjXbHmTRT+rolwUwXTyvYyCM8MwHkfpHWuTkAmtt99Nt9LDW7BSmPKa6dPFTGKcmlFQ2GBdshgXNMkvd7t2YlLZllybT8sfRPS3iEsLokeZExahf7Kxd2xhOUP/DdArtMnMk1gEceecRSafmkO67E3hp/9Vd/hZ/4iZ+Y6e4ulZSOl+eKuec714eK8MyJJWxh0eGllUdT9o+8ZjCICpM8x+0R6USIFWswYQSIM9XXYiqy5s8gitGKzbK5pm147AIVJz8NcfXk47XLs5Zs8GoZyI33Uhfh2qNAO010mh0PWIOL5D3qBUXJmCZIrOqLMMgIj2zjY4pNwFIzm7AmaYBIb9tk57kHtTBJclUZ5yKTbNwseXCJ4EWawQa3PDBrqYuWVDC5YMR0rIjqD6Z/h4ETB5tYTy3DurDD57NKcAE9tKKddO1v1KpRkuajchCTTPKTtqW2XdEoZDGXTya+0hZC3jX0Sp6lA3yMSJ7Eq8tlm6PhUgdqsnl6vhF5XbRdUNOorC9ubuLi9iYQfNef/Rwovq8u4sZQ73ozAJrNEZaxaZ9fhlnneEcbu3JpCcSwm8MHuGwlWZor/TRT621uov4Yco/Wo8jT+MhYyVJqx9+kA/TaRnVeli19K5gAODljY5wfWF5ensmG57WvfS3+1b/6V6XHaImMDxdffDG+9KUvWdtOnjyJ0WhkxdTT2RGOHTsGoJhtoQwV4ZkTZsAv2nmbybKBJJW8SDCzRvpfgp0BwABRJuVxTcRmUvc/mgBxNvFLEr0GhhggMuLq9NwaT4xTBt6J53Y1oDhBsrheJhQeCAPYAzCvtDaRr571IC2Tb9sY7w6bOeHQhprSDuZUs6o024rqsDJPFnPtUP0OrE+9Pab97G2nz2kEQzQ6A7Q6O1ja3kKTV4pN5KtMTiugJ+U2cvUhpxXQIn/fxDYN/CxTV2yRHGxgBSexgh1FeGSK4fpn6tUgRiNdLfIqnvsXeyYByIxyuf0CJEjCAZJwhKaoO6T+ekLfrUW0VqEx2ef76d/c7i5S4Xv35lF5+EiL71lr4isT+CJ9l2P0eVI2qf9A7SsbS3zE0LUtsfdrsqPzaInJgB0rqYWdlG4LMWcS0sAQS+jmEuBOgou2t/L3bhG2x6mUx9W+6acpY9FQXCPeszg8LvHo6Vxjdhw4cAAHDhw4w3saXHvttfit3/otPPbYY1kQ4U9+8pOIoghXX311dswb3vAGDIfDzFX9k5/8JA4fPjwzsQIqwjM3LkqOed3S2YZnITM4XsoISQODgps6kOvBtc2KfI/SEYfJUSY2zsxyh2TrEyMJ9xlbHhRVDS7345pLxK8lDVr8zQMmn88qC5ECye9pq19afbcxRtDeRKvZwyDYKg3lLm2jVX9lELfdKE7JUlxsrzBBwYV4EDVo8M297HS8pDyZZICkHaDV7GFheYT6GsyKcgu5ykbqDtjuunIcS4N0KpG8EfxSB93ePCEnyGyKmgnwQ8tHcGjtGLrRUiZdsyU8uRo2639pcsbM1kmum6KW1rEeiCfa2PyFgFccr73hXCqYGLkkUVRRPElFdP4qSr3pLMmZtu8ogyZhfC39fdq9XOfoiRhwe4TpY0XlxhKKbfp0GZtz/2l6vrtmDW1fw7+31XG6jOkYUds26rt6ACAcYxKOEQd537CJ0IZTssNWjdJXM5XeYAPtY2Mj1WGVslb1agIp49+2KWcdQH0wQqO96ZVOAkBjsFcO0Lun0jobePjhh3HixAk8/PDDSJIEX/nKVwAAT33qU7G4uIjrr78eP/qjP4pXvvKVeMc73oETJ07g1ltvxa/8yq9k0qYbbrgBd955J2666Sa84Q1vwLe+9S3cdddd+M3f/M25VFqVW/qMEBfAzf8PWF7yHJR6N4i4s4vFzGhZjP90TB02JBSbk+wv6dreQ3oQpAFD4qvwyojVP5baJ9WtRwPyhHJ5ywBF1QpP0lrdosvGg67LC0iO5fNcq1fH8VoiJStDoLg61BKcAHEhQNzUdqCyT9q2UScbdDLx4TQi8pxZAsUGn1y2aJBG2hYJEKvCXBm1uR19kgBXe3O9XJ++5+S6HxyfGnpi16o5FwGRZ6Gfj+856fNcNkI+sqPjTbE3jyalLsy6fNSEgFSVkqaFbfPZRKSm29gngeJ3jQ2rmfy4CI/r+NSua9I2Y5sQfnNKnHljZeMJE3Nt38YgsmO95/r9d8HXHzX4ufKige132JBdriXtp1VaHWojn3Qtxaku0HnmXrilP4LdcUu/9KyU9aabbsIHP/jBwvZPf/rT+Kf/9J8CMKToNa95TSHwINsQffWrX8Wv/uqv4stf/jL279+Pm2++eW7CU0l45sUQfsPJ2GQ9b2FsxPEZ6cibOUDLGBenb3JudJyTnRVsGBWITG5CMvQLSWSi3gTCNjDAOFMVsHqF1WdJGFjGpjNDVmci6haxdFkv4n2z2DO4pEyikpN7g0Ltp9ethyyNyesWzxBgMpNu+dxiRZIgxwdAEKQSovTyJk2IUVOGhUqY9jeqTGM0PUTDKYkKECOKhkjCLpYwylWKbMPjE1xpogP1u2yScJGBbRTP0SpI7oex43iGS23Hv33H8vEusqLr4WoHlxQFsMmWGCnLp9Sf+8Dp2uTw/VR/0mWSXHSCUUyRuJOUAKX7C159rPaUawSOP5buaQmHtJ/PE3Na/ZikMoF02ZzxO8bvuS8cQhlcZWRCydJC1wKS4SMyXLcmbXNhOFOpdwF7r9KaB/fccw/uueee0mOe/OQn4//8n/9TesxVV12F++6774zKUhGeecG6Xo30pa31geXNEZajTVwcbjqlL9kpJGmoa7UFqz18KiPyEqktGoPGZjTCpDlCHPStqLoCUdnEARDKS9v2eE7wCncLuXha3DvLoq+6oPT21mChbSb0JO1azdJqrBaZ+gyb+zJ39TxYW74iDZAgDBIsBD0AQ4TJ2KhcmPS4BsRUpI2BSRha3x5hoX0Cw+ZG5nGmVW426Qw92+2KxUgwCCI0opGJqSQrSrHp4YlMt8U0tZavLYFivy7r53wN/SxdxEcTKpfkpYyMuKQ2ZWVzldFXf999WIpUVj69L/YcI/u4j7H3Wd+o/upxGqOnzIvM9Z3B9ZX3VCBji0v6x31Hjy8h0I7GaIf9IpHUsZW0BNhlcwbML5HU5/t+a2gCDdhky7VQYHs7+eN2mSLh2VvCc6YqqbNHeM4nVIRnXpRN7gN1TPpC1ePUbiEeA8kYVud0rXqZRLhWtUq6Y7nDyuCU6sLrrgkgzA0EB1FulwLkk3KuA4/R2u6jqeO4sJgfsAePMvAAOW1Q03Adx4QA+Yo3Qej07srqJOlLI6DR76fPB7a9CD9rngikLSKgvgjUozHa4ZZRaVIZtQHmIGACFhRUYOY2uS3SsFlHNBihxvFxWPoiq2+5J6sG9IQ1TUVgGs3GLGOgfiaJ+tTXm4VQlEl7eH/ZZM/15zZhtcmZwkfiALvv8LEu26xTsO20XIuIaUTR1d4B7ZdPdhZwSf1c52u4JINcRi6Tj5yFju8u9aivTFoa5drH15+mPgtgS5WY8HCIAdc75UM1u553qB7JvBij3LtCBqKB53PWQV0PnvpYEWtHsMXI7FXRVOfQ064BuQdUpgLLrUoY2cTLG7UqgAmaiNS1CFs+NTEqEy27Bka+pprEmXCIfUxuS2NuJIbdARKESWKMuPUEQ2oDp7RC7q3c/llKlqnZ4jGScAw0gUEQIcIQAzQyI3ZfXKYCeIAtmzC0HQTUdl0XrnO5nXcR8ywMXZO13ue79jSyw32qTBJYNtFPkyZquAiOnug1IZAYTqJackHeH76PnM/3YDWRblPPQqfQD1yLFFfZpz1n/VymPS8hXvLdRWRccB3nswfk7zJOAtniqCAJ5eOZJE9TCfue45mqP2fG+W20fD6hIjzzokzCw5O/KzeMNo4TyFPQK/E23C+VaxLjCZq9CuA4Vux+YqQRmZPUyLnoahnAqNyyKLkcT0bydelUDFIX7RLLBMxVJz0A6WuE7ii+Go3+GEG8hSWdFVtuG8OO/MtlD5Gv6FxGllxWIJdUeEhbDbmkrRmOgGBk1UPHopFAbXWWBHC/4X7huqdrVQ/kfcE3cc+ybRrKRhPXBOgi9b77zqI+ksmbn2Vf7ecJ3kVwtMRAS8b4uYtEoMwo2iflWUzLtoaiistH/jRh5O+aWLkwK4HxPZNp95D+CeT9M1TbWS2v4VsE8T4tQSyrh+vZicRGG3CLikqg+4NrESHmDb4y+Gw9dx1lk9I813jioyI888LXt1hM7wqWxgSIr+ESnXZQFJ+WGfHxgOTrt0wmxBYEZiJOwrEVj8MOihjY19ZB9I6l9XNFKuXBRaRQPGiIkSLUeeQR0W/b3lBMyrQ7/wJ6mYdTnT2ZXC7cQHHQlfuXBBnM2iJvLNtGwjdQ8/3ClAiFebJQNrS2nqe23ypbAet7K+nTrkpvzmTk8JGbaZLTst9l1xcSoVWAoO9a+qXId4Fop33EmWG+TAoFFEnfNKmQrkuZest1Hp/jMsp3ldFVJtfxfI60obSxSAyZFJxuvzldUi4LGFlsyYJB8vytIR9v9EKm7F5lqltBZcNz3qEiPPPCJw7n/TqKK5MhHoBkP9Tx8ikD1Cz6Yte1dLlYTCvxOCKg2QaazT4Q9TMDawC5pGEbuUTnGEwcCy3hESIn5ZS66vpI/VkPLhCyMcj/mm2g2c5D3LO7fRb1N40Bk5VVDKzZ+NjVNtNW+rsBHuh9KhvXynaWSW2W+8q1fPtmvQbDtao92yNJ2UradaxPeqglOHwMu+OTVJGdDjQSSZ0AR3JMTXCg9st9dZl9ZJYlJj6Jjz5H6qGlQWVkx2fEDXWO7mMucjStHQTzqH9cajzfeKql5q6+EKpjNJgkM7mbdwFR4ZyjIjzzQjLlagg5Ceg77+P4Dz5Rpx6IXStRDZ/u23W8T0xL2/LAcClYReeKY5FKUSYxstghWZZvGWx0EkYX2XGpEWiwakapSggjt4cNUByUpw1IZfYAvJ336QlRxxjyPSffRAEU+4qgzDh12orXdVwZYZiHFLH9hV7Vy7bdhk9S4ConezFy3/MZcMu1iOCIp58EmORceOYWKe2OErSSHhr9NCJ0An+SUr6XnoABf9wj7s+s8mKJjastNLnzvfcavvfIdx/up9NsF7mf8P195dKqMG0eoBc4mqDJ+MOZzkWdpQ3YZ7WpEpw3pGfe1ZDvGk98VIRnXrSQG70x+EVmt08ZpNj7xzVIqUFDCMQoBuLYjssB5N5XYZgaxwrJmLZS1PfU2wgcBI3LESe5mVxMnwK5bR3AgnxGnrKeKabp2l2Gui5iqScGfaxMoKJy1IHZtEjcBZ/UxTfWlK1gfeeUHTerymgaSXLVsYys6/tMW0W7yuVSj7jKwM9LXIm1rUaJN50dRbthedLZ8bRMPKUF9IAACMIuJuHYJOXkIHcszZV6i70Iq6mVB5kOrGllFGd3b5be6LZQ3mkSMHPYNDnq8nrZD4QN5jl4pgsiZS0EH3TZJPnKqN9XVj8xsWXbRFl0SawyHUiQ7yFtK4tV9rjyjRE+MqP7Xxm5r4yWzztUhGe3IORGr9r0bzmOVyCOSclHMgBDIOLEEIdRDMRhSiZSW5KMUHgkSTqaK5Op2DGZyP0Bm+gARbID2HNX9hoNgFCVNZxjURE7Bh+JQJvVVQYwaV/XKpbbxUd49DlIr92HmXAS+pOB3RW51qqA5/u0FeI0SY4LLsKmv+vruQZ4Hwnh67kkB7s5qrgkHWU2Vjxp6gmT7KxqtDCowxDxSThGEPeRhPsQRDEaGGKIIfIUITbhkdQaRsIzNhO9Zv5NuJ8XT4bSzmIEmyj1WJmKyXctub/8RYbYCdnRmc/tognJiZ3b9fesmOE+xPE4D4UhZSuzb9P9JrLtpTiOWDQwQT+turraI6LfdF1rMSj9gRep0xaI8+7bLtlX4ZygIjzzYppRq7xIrPLgeDm8YgVs+570/EnfkIydvpnoe7Dfqx3k54ZyjYGtirLUUoSR+ozV992ElgIhyUlZWRlnBYfcr6dEKvvOZKhwIn0vc4edxYtsnrgcwHQCo8sxTWLF37VqTZfNtZLVajKeQHgfg9vMZyOhy+Zixb59GnoC5zLo+/ggxLTkHjWY7OAIKbieawED+O1ImJTNUi5t9C7XpHI5oXlKQJ/cX1IiLsb/XSxhiMiZCsXczp3XL0uPkpiCBmoFIpHbM4KSjndhCaF3JQrl0Bg6MWfYNolrW4OenXplE8YAmW0J9X25zybIM6TLNhfKxomy8wR7RngqldasqAjPnJhEJl+WRpaegAcbWWUGsA0ifaJStZ3JjkuSok/fKdmfXTP99ElpXIJNISYh/Q7VPt99QtgC17Iy+q7l7aRJft6OIn1CeOolPTykfZmK0CGGrulBzifVcE3GVM6Z4bJj0kHzeLUK5GoSIdUicQpQJD4CPVGzmy3b5sy4Mi+Uy0ce9T4ui+uYsvb2tbXUx+WdNG1C5Dq69vnqoSWGLgLMqsYyw3QfCfb1P9ex6fMfpWqsHbQwRJSSnobl9WiKn5MdQUSuRgFiBHGShU7QELIzbObG3TuOF4pz3NmpaG3CY5rBJmMNDDGMGhhEPSwFffPeNmFID0ckz25Gn2XE3gVuS21fNIu6qjfDMbsCXraeyTWe+KgIz5yoaXGzC6w7F5dsGaBcNjwyIEt4+W2gNQBaqS58NMjVW9MQljxRtgUqs8PhV0fIDX+6bHKAnBhMqJyzqs189WDC4iIjjII0Z9bePW3wKiM8epvvfCYXglnGGK2WmcVmQJNuTZgEbP/Bov5pKCN9PrUWtwEjKdkv6hmRgpRJPvh8nsxc6Q2mSa74+j4SO+04FwnRUi1XeXwEUz6nkW3Q9gjAYipVxQhxx8zArMYakFor83rEEC30jDQFPZPYeLtv2+c4nkU9K9M4s0GKg7Ej1lSS/jYpVAR5Kt3cZqqY/Jj2hWlmdRd8EsRZCCYfy/1qHukOMNsKtMKeoiI888K3ImDDRDa666AYXMz1AurcOpRfp57m13GWZR5obwo1GUz6KNjKhIFJU2HFx9GpLHh1HyNPeJkA9bTedR4odWwZhkuCUSY50G0wqzHwvOcIfBOb701yTcIuzxV9D74uS1zKyiTl0s9KjKq12o37AveJEEVpj6t8UiaX2sxVVq6vJjiyKIDaro1ey1RurkUEv1tlEp7ThcsOzNdXdTmZxLn6gtgE8vXl2i5pH9+LF1wdoL4MrK71MVrtY6HTQxdL2EELOs9clJprL2ELrUEP7c1xrjZilZFIUeSeShJZS3/XI5PY2NRjnJ1j7HTGCJoJBlEDO2ilVQ5SZZp4xtkhKJKURYRIUgI1zttNj2u6vX1Ex9UXZL+opfSzmqX/VIEHzztUhGdeyGrTBV4JyMpa7Hn4RdODGr+oHF2XpUFlL88sfVWO0ZMbS5aYWMmkJIOYTJzypydSGdTK3Ee5Tq5ggHpwd9mHAHavda2aefss5MY3kPlW2lxWvV2D24RJ8SyDJxMOjupbRnz4L1J/MgkKJOaR9FMNHaXYJWngiVcmYpdUpMzDSurokvZI+7g8f1zEWZMivdAoi4GlyzQLfNIX3qftfvQ99KfrvdDPtez9APJ3VgUErYdAK+wjaefSkySTnhh1Vgs7NtmReFscQFVLeHQfE484eRZcvlRKLkFPwzBBEOSVFgkPG1UnCNAAMEQDEQaGDIUBEKqAnfzsdTuXkR39vMtItuseLuxZ4MHKS2tWVIRnTkxaxr1ToxYj9w6QAZqhf7ugbSJ4wCpbUcw6OOsXl4mHngy4TBzHhCUHPoPdWJ0nXkxMgFyLEr2KnTao63PLfmu4Bi/XCnAe6HuWtbdLcqGv41JbaBLBEPIi7sp8LvdLJhQ+Ii5kRvo1b+e+0DHvQ7djvH90wlbASA7E/oIn1NY2uXH7VuY+kqSPZbKk20auEav9rufFn7NI/njCFOLoInxl5/nuKZhlIaDJuDy/NkyMmhMwhr3H0mCenS1cFG3Zak4mliLN2UKe4FQWLHo8YomT3NMVo0rqIJ8B0GwCzWiE5eYmJu3NzG1eEu26oqq3tvtoijv6Fsrd0gW+5xeoT4FLuukjTj5cGEKTxxUqwjMnup0QteWacx8b9NVlopcJJkAemNA30PL3sgHwdOG69ukMuC4x/jz31PvkWlpEz/YnLsLjIEeTJqwM8K6EqOxx4owdIuTP1x667GWToSY7A/XdRTJ5MPWtLLUkTl8joT+RMp5CuapFtmujfG0c3QH6q8B6exVHcQjHcBCP4jCOYw3rOIANrGSGsQAyW5AldLGGdazhOA5E6zgYHcOBVXPWyvYmmi77NmmjCPmExu2koSVJLqkg1DGu83z2NT642tNFeHz93yeR1Nfnd/gmSiYAACDXSURBVM4n9eRnzM4SLIVxkSWXVI2/u8YLOdflGcgkyGfbROWohcZLrhmOgHBkn8PPxfce+RaHPrsnNuJ3jcnS/wQutWhZn9gzocnprtD0NZ74qAjPnBgGEQaBh/AEMcLQBODKklPKZOSalLIT088ydUUZZvEYEJStWs9Gny9z4WfwwONyr/ZIeSYhrFWheJ+wF4o2zDTFGqARDBG1B2i0yUhz0EMQjw0JKmsf1ySoj3cRHlbpudSVerKXTzmHj9OkJ1b7+iiuUKUdtQ2GJpO+ybSdSnTai9jASkZ2HsGleBSHcRQHsY4DFuEJkGAJXaxgAwdxNHONzm+VIGgnALYM1xJJKd+XyRtLUrQaTFRj/N7F6hOO76xSc2HanHI67848kiSud5n9mI/4+BYOrvFmloURQ1/fF9XaVU7X4qlMkuuSmuptuoxcviZtE2jpk++d1v3xbPSJ00KMyktrNlSEZ04c+PY2lhcdO8qMJ2U/r4pc/YsH3dMhI9OOKbNfce1zTYB6leQT3/tE9j5JEku/ZDLqwwxQIiVzDNK1AGiG6aowGqUE6ASGzXohrkdeldxmQXJxiWQuI6pcVhd4YhW4VomuwZslWFJHPkc+y6Q7ZatYlyu7vj7/Dkt+awyMF+EBbCFYNcH51rCOw3gUx3EAXSxmBrFidMrGsK00DewSulhCFwDQxRISBNhoryBox2l1zJOz4q5wShNRt+hVPbePXv2XGS7rNtYu7a62c2GWEVVPqNPIs6v/MFwLHn5XXOrhEEXi5BqfXGWaVeocq3sysS8jZno7w6d+dkWvl2tKeYXYsNrNlWKC+49EzN9W++S+vrF8T1FJeGZFRXjmxedh8iW44JJSsGrG50aq+6trUHb1xzKJg6//6tWa6x6a8GgxNadRYC8tXS49YczqGqwHa/nu661EumpICZAY8rnOca2QfavLsvMd0iZGjevJtkxa/F42Xrme8elCG08DuQG17pe8TRODLaN+WD3Wx2rwPSD8XtYHJEouR8iVwHIsgethIfUSirCONTyKwwVi2kitgRaiHSxFXSytdrF0aRdLg27R/ofLp1UdIlXjVA+6zbmvxihK4Mqekau/lI2sZe/fLPPOLP3ApdbS333qdbb16tN2uTeXM0SxH/NixSWR0vCRHFfZdBl027mkO7KgEGLjy6vFfZ+9ZcVeSBNDKYevXhPP9grnDBXhmRcn4Y+voFfZ7BWjV9plmHUgnGb46CNJ0wYOgSvcugxwLlWVi/To33p15kICeyKWbTKxTWvHab3aJakSYqqvMcNKW+dl4t2W8lMTyXnKrK8xy/5p/UHITODYJ/XQZWbSNCgeX0Meqym/zxhojoH2CKNloNvpIcAKABMHxnjkSGzfXA3GqkgLEQB00cLYpBoQ42opr362us6i6mPPtxg2keXj5XMWwjNtctfHcLmlTNPsxsreM10mJrLTjJ1955f1ubIJ/0yFBtI3+bdcV48hZYsoF/TiU9pH9sn9pJ9vq3OEyJ0XgpHKS2tWVIRnXpR5W8kEUrZa1+JkF6lxrfxdhq18LF+jTPQ8jRyVvcC8ChZRL0uyXMfqusxiD+D6Dsc99HFlEqEykuSS8LjqpAiOzvcjgdUESTxGEABhmBpFs3rORwhdZSv77cLpSP7KBu9pk56WArmQvjf1GFjd7mOpfQTD5jH0olaWqJMDzZkiJUSDBnnwu2meXSylkP7Kx8jzZQKhJzM+hr0vfSiTTPgkFbPA9yxnWdzoes1CeKS9WN0q0kmWdpXdR48LWnoocDlD6HdRgw2o+ZOlcFqCye/yAEZiE8OMYSdQlFJz/9EhNfrqumXvhtvU8yygIjyzoiI882IIf0fWIk6XqFeLkl0DV9lgpgdAJjll6qIyEqbr4DpGTw7y3UUqyu69mysiTXTKBnZXu2mpWwhLn89JDLNTFbmRHEDmsvbrFESURRop6dHwqbS4f7gmgGmTqG5zFwnmFXTZSv1MwSQZ5j5GCjRGG1vTz5VPV3/nY1znaYLtakOpu+xnolO28CiznZm2/WwY67ruqd+NMkIPuh6HkmDCoxctXHb2yvI5HECdpz252J5Gjy9cd1Y5TVNX8jWkHjqP1iw2iLre3E9cONNkgRV2HRXhmRd60PSBB1OXNMdHZqapqeDYXyZFcZ3jgm/16lJ5yAQh4t6y9nAZQ5eVZ54eyW0163k8semJLoZlRFyDHeF6EgJhYkhQEOch84M4QRKaWCEaJlQB5VorK9c0yPkuacw0WwYXyp4bD+zTJBvTnqPruZf1C1c5Zl0EMORYeca+Np7mocX38Uj9rO+zECHfwkFfQz9XTRr69N1Hmk8H8lx9JEyXQ+rTpN+6Thp6wcKkRy8M4fjtMtyX8UjIqq+P637F5Sl7t3znuDAu2bermPWFn3aNJz4qwjMvRK/r2yd2DXoF4VvhlamdZt3uus60/ns6xIK/TwubzoODa3XoK1+ZeNvVlnysDHYsjvdNQq6JSh+n2kgEe5Lfy+TxGafHjZ3nFMrIvyWAo4scSLvpyMI+0b2U3SX1Aux0Jxp8HbmHLo+uj/5eJn06E0ybNHcLIh1gdZkE2dN9WMrDbasjDbN0wwfXYsZFWlyLDf0OuaSHZep3H1zPVurqCLhqoYx0u+rF7SaGw66ghQy5TgDb08on7XMR5TIJIUtseOFYZj/kw55FWo5RuaXPhorwzIsByq3vfaJ0/YJokXAZyo5xeRzpfa7r6fv7zvMNxq7VDp+jxc86UJiL9MjAOm88D63OYjG86xyfRIwnNl/dfETJtwqWQdzlGSKDfJTbBWWeXZy3KIY7miyrUKWO7EkX2few2tA1AWg7DZ+9lSZV8t2nttA4HZLkk4jMYtelr+9SX2ivHLHzELIp37VUsY1coqBTrrgmbd3n+F1wvRcJipIcvQDhc1z2TFzHac9Vv3eagLiiqss1pQ2l/7KHnK6X9vrkd4IjufO9BNLX9YLG9ax1e+sQBbpsevwO1G+fas+FC8Ms5nGFivDMi2mEBygONK4XCp7fcs40uETKwGwTARMBXjG6ekNZeactCqTuIvlyRUXVZeOy8ECqdft8jjYg5E89Ceuy6RxLOqKsC7qNdbvx/jKXZjqvxv2FJQz6T0iPi/CIt1LZapfbCbAHbj0JuCZ4wPaW01IA2e7DLJI11/E+wuMjmq4y+c6ROmtyrtue+6wQA25vfU1t0yfbXROwi4Trc/j5zBJhWEszXBO1i/Bwf3W1r34/2C6G281FeETNJIsSPTbyn7Qxl08+fXZJMr5pouJrPx954bGH30n+PW38qyItn3eoCM+8+A5mW42W/Qbcq2z9gumBquxeekJw3Vu+6xhBWm9edg9g+n14MJCBcDP/7G0DO31gJ7HHBHFnDgOjNgrD9DNIM7bzvV11l1WfazDU8LW3b/LQ9eb2c02qcpysihdRzGAuK2jXipknDp2tWmeslnLxqrwsuJq+F+CedGdZxWKG/Yx5Va+CWaVC+rloVRO3A5eB23YdRqK2DrvdNUl3xafSeeZc/c9HQPR7Pgvp8ZGkWaGJjZYUzqKm0yRCkZ3RABjFQEx1k3e77no+WpLkWtxpojNLmgjAT3JcC7lpRuJ8nAun8zxOCyOc+VR+YYijKsIzL74H/2pUT4j8IurJRpMdWVVuAdgGJtvAziAnBq7QP3KpuvoM03LU1dMNQ2AhMkHjCqoPJj5cF10fJkm8T85J0v0i1SFR92QdOLEJnEjMfNJFkfAAQJjaSdUHxTrqDsvbhTAtRDZZAtI6p5jEQJzkg/DOAOjBPIYRTFv7BDJ1mLiTIYCWulddh6gH8uevyYdvUmQipqUMad/AwK5DRgpDzz04sFqZN4prAuZjQMdyWfX5rnPg2B+begCmLoCpD0P3YUboeA8LfVv/afUeYLe1kJwTxf6q+wX3h+wvABaa9J7pNlckZlr9hSSM5HnD/MWeT4Z+N0IU3yPtSKQXHFY9mFR4JCijAXBqKx+z5E/KKAgHdD+YtuMycjkYhUUQEzQf4RFocjPNcF71b37nAJvAuXCqCjx43qEiPPNiAGCfZx+TGRHJyqeLIAA24ZGBV00WdczGv+WYUWLOidV1wnSCX2iqgY5FzXyOyz4oQB6DxydB0RIKh/qKiYMGl02aL6ub41aFawzSupKUiOslREcmkR7ygXnaBLKQbl+gey3QMWHgiVrAWablWU9bMWsi7OobLimbVkOxWlDfRz61xMsnNdCTRhlBmjIhTGi/kBcmMbF6Ztn22L0dSPv2AKj7JFNaDQgUFhsiodgZAKfSibuLfOIG8j4q/SH7S4CdbWChb0spffXIJk8hPKq4/NtHcmLHsaDtPAztICcWoN/W/RKgleTjRUZ8tDSIbjRJFw5xnEtu+Y/LWKfySJl3aFv27iXpc0xRB8y7nRKhhYSIj5wcoqjS0g0yQz91EVEmn7zPh9OxGT898Mt3Jtd44qMiPHNi1AVGexBQKgzMILPgifHAEgpe/enVlDVAJ0Z6Uh/kK6qpEoozQVoIXhktNIFDauDgOkmZWdKiCYhrla0/FxJzPSE+jBENyjyZ7cCs5F1SHl6FLqffl6RcA2AhRkYoLD5L8Wf0ylDXnyGTpLWiJUlbLaKJShNSTaqFXAmpFbhsd5RtiDw7gasOLHkA3H0vey4sAdHeTUpSWKfFQH0bmPSB7nYukWOSKljYNpdZ3jT3Wl4E6j5jWAET9E1gsmkkO0cTE5eui1zCoyWS3O9a/DudrEWSoaH7s6/tfJhHAVH3fC9bbIRIy58AC2n7+6RCUp5Yfedt+l78m9/3stA1rrZtgQiQvH8OyZ9vvPQtbnYDW2fhmm7sRg0qwlPBge4WvIEH9SrNNQjwfkBNBjCDtLy8mX5bT2Awk0F9YCYBUX31aBLniUBWVQCKBGGQq460akyX1UU8fK+ZFlXLRFcPgZbYrTgmX1kp7vTNoCYExDWISn20MI3LW0/y5xIGNjFkkiMTGpMf/ZxEbTGCIT1WfRO3iHunnxMsvp8W9Wty0EoMoVoepJ8yeQO53Y/LZghqH5eJG0i2a2PdbWAkNlak6hP4JulppFTabjkBVvspkWfXfG1nxNKtlDCKhKGHnISIWlT6uDynLgzpPbUJLG8p4lNCeEbbhuysw5CdE3Qfl4SHSYCLfPOxs7QfH6PhIytlJIExy2DvUhG7VGKzQtfFVQau945jO5+ry7MD8+4tJKa/anW+kBsg78v83vEz1X1WME0N6MP2jMedOSoJz6y4oAjP3XffjXe84x147LHHcOWVV+Ld7343nvvc5851jXhc3jU02fFNBCzaFVIAmBd1qQ3U2A5DVB9APhmkg3StD7S2gdbArG53+kYMr19mwD1g6sHYpT5zDQh8TZfqRxOoTGIxxf6phpQ8hGagYnURExuuQ0aqgNnsKMjW4FSSn7+O/FnJtaVuJFzJ7rMEYBXAWpQ+M+2GrEhpdzu/Zkz30iSO68ttG/qMNLkxXMe41KlSgCbyPEFS5nQVzPF4XJOwPHtdjBjFvsaTJ2CebV3Ue7JRvotqVcqwBaBvq8Dk/qIW5Wvzsyqobvv0XSCqvLTe+p2R+8i1eR/XT3/XOJM1uFOKCbve+r4ucjWNWPG1WZIp9moLTZI2pmAJ7k4fmZpYkwtdLlcdrf6O4rvO798CzEJgoZkuolyGztSPWEIoiw5fmWSs0e2rt5VhzzJLVJgZFwzh+fjHP45bbrkFd999N37qp34Kv/d7v4cXv/jF+Nu//Vs8+clPnvk6LLr37Weio1fxmvDwpL0QAMsdmFn0UPrJ8Sl4siJjYPlrbRrys5baIIhKguES7XK9XMbRGloStOA4hic5UZsVCIin94nBYhgaVZFLBC33kIE4I4kd2PFQ2PMDyFUkm8DaJrB2AsAxYP2oUWH8Y1qfE2lb8PNZRv5oDgI41AZaBwGspTvbMN5YbBvSN7mfWqeA1jqwegI4uml2+yYk+ZQJrQ4zqNc4ZonLgJQNz33eNZrwDJB7Iq0jywrdQtpHPCqZsmfvg/SJODFks95PVVAOw3KBTKYiKZP+KkRH1Iqu+/Dl5Pz6AAhFYhQW77EzyJ8Bkxwmpz5MW/nLfpYSzUKChIAswXQz6YfLMP2+MNkDhUn+1MCWVJ2iskj7LcA894MwffxJB9Mfh9PPtfTGshhL71NL36f6JtA6AeAozAu0DvROACe2baPveaVEug3WAKx2gPrBtDxraflcY6WMkZtA7QSwvA4sHwMOncjfeWkHlwpWEyztqOBdwCE1Wj55GpWdGyOUx4KY9RpPfFwwhOed73wnXvWqV+GXf/mXAQDvfve78ed//uf43d/9Xbz1rW/dlXv4yA7bovAAswNbTVKXiUlIj4w8yzATqZq0s5f5FMwquAM7TsuAAtkBmV1EPT1/NMgnghHbaXjq5xqofB0oW9EH+eBQIDu+k9MV5AKMpCdMy89GngCp/mSQk8FP2k8PgDJzpQMg1gE8aravAYgfzScEeSYCHvSWYKQ6LXlGMhGsIScagDXYyrZ6DCz3zQTEE6BeyRakZtJuEf1xG7JbvkyA/N2lGpXycdsIkQ7T5zbw9wefWmWWCS1OVY07HkLFcEkQ9f1d++W7ZXhKJ4UhnLZI1rlSXhT7hIZLSlfWdrMqEWTSbcF0s1WkZFv6uVYJklSjtm3smZY3gfV1I1U7gXws0hIVIfY/sApDdC4D8EMALgXwZNjEQiqderXhGMz79HD6FxrVLHua8jOT+vN7EHr2sXR1qQ3U5d07TH9ctgj2ovBEWrZH85us9oGdE8VFHpeDJcciTcrsz0oWbQBQG2OPCE+l0poVFwThGQ6HeOCBB3DbbbdZ26+//nrcf//9znMGgwEGg3w03tw0y/KtkvuMYN4xmcD6yAmPbNfi3QnMu9lAuiIYI2dHQ+TEJkCem4XtG8T2YqhuIJOX/CH9HOd/owmwMwHiSU7OpJwuuCYy37oiIzwTc5/6BKjLvWvpp/ZykP3yfV9KcIJ0QkrLKsiuze0ibSBtFyAnCvxguM3SdunCjI1iEMvhhFhLtIWSZwXksmy5h7rPqUnuECT30oRnAjN/NdJ2XJB6ymQW0IHSXpN0uyS4raUXnKR/DtVeoS2k34yBXlrOHsrDEgHzE5554OqPs0pasglzYn/Kd+lP8cTuPvLs+fu0+7raqKzsMf3xuOCaeqT/bSHvDzH3B7mIbJPt8n0MdCe2I1pP1U2Eg9K/azIYSD/ppSdGyN9TJhXy0uj3Kr2vHjt1e3FbuaR2ia671FnKx1bPUvcB8pdM+nm6bzIx77y0CXtVjdNLyXAVA6il481okpIZGcc8OJXum0zOtn/6DKuGPbnG+Y8LgvAcP34cSZLg0KFD1vZDhw7hyJEjznPe+ta34s477yxs/8mzUsIUQxidyj+ezZvsMcYwA87ZgJCJUwDcj/HsYa+flVhWP5H6xl5CJibOb7RnuY7OAnrp39nq9yfTv6+epeufCXoAvpv+7SVkLJtzPOt2u+h0OrtenEajgYsvvhhHjrxrV6538cUXo9Fo7Mq1zldcEIRHUKvZZmSTyaSwTXD77bfjda97XfZ7PB7jxIkTWFtb855zIeLUqVO49NJL8cgjj2B5WfsuVdCo2mt+VG02P6o2mw9no70mkwm63S4OHz68K9fTaDabeOihhzAc7g5zbzQaaDZ1sK4nFi4IwnPgwAEEQVCQ5hw7dqwg9RFEUYQosoPgrKysnK0iPu6xvLxcDaxzoGqv+VG12fyo2mw+7HZ7nQ3JDqPZbD7hScpuwhcz+AmFRqOBq6++Gvfee6+1/d5778VznvOcc1SqChUqVKhQocJe4YKQ8ADA6173Orzyla/ET/zET+Daa6/F+9//fjz88MO4+eabz3XRKlSoUKFChQpnGRcM4XnFK16B9fV1/Kf/9J/w2GOP4RnPeAb+9E//FE95ylPOddEe14iiCG9+85sL6r8KblTtNT+qNpsfVZvNh6q9LgzUJmffZ65ChQoVKlSoUOGc4oKw4alQoUKFChUqXNioCE+FChUqVKhQ4QmPivBUqFChQoUKFZ7wqAhPhQoVKlSoUOEJj4rwVJiKu+++G5dddhmazSauvvpqfO5zn/Me+9hjj+GGG27AFVdcgX379uGWW27Zu4KeJ5invf7X//pfeOELX4iLLroIy8vLuPbaa/Hnf/7ne1ja8wPztNnnP/95/NRP/RTW1tawsLCAH/mRH8G73rU74fUfT5inzRh/+Zd/iTAM8WM/9mNnt4DnGeZpr8985jOo1WqFv7/7u7/bwxJX2G1UhKdCKT7+8Y/jlltuwRvf+EY8+OCDeO5zn4sXv/jFePjhh53HDwYDXHTRRXjjG9+IZz7zmXtc2nOPedvrvvvuwwtf+EL86Z/+KR544AE873nPw8/93M/hwQcf3OOSnzvM22btdhuvfe1rcd999+HrX/863vSmN+FNb3oT3v/+9+9xyc8d5m0zwebmJv7tv/23eP7zn79HJT0/cLrt9Y1vfAOPPfZY9nf55ZfvUYkrnBVMKlQowU/+5E9Obr75Zmvbj/zIj0xuu+22qeded911k1//9V8/SyU7P3Em7SX40R/90cmdd96520U7b7EbbfbP//k/n/ybf/Nvdrto5y1Ot81e8YpXTN70pjdN3vzmN0+e+cxnnsUSnl+Yt70+/elPTwBMTp48uQelq7BXqCQ8FbwYDod44IEHcP3111vbr7/+etx///3nqFTnL3ajvcbjMbrdLlZXV89GEc877EabPfjgg7j//vtx3XXXnY0innc43Tb7gz/4A3z729/Gm9/85rNdxPMKZ9LHnvWsZ+GSSy7B85//fHz6058+m8WssAe4YCItV5gfx48fR5IkhQSrhw4dKiRirbA77fVf/st/wfb2Nl7+8pefjSKedziTNnvSk56E73//+4jjGHfccQd++Zd/+WwW9bzB6bTZt771Ldx222343Oc+hzC8sIb902mvSy65BO9///tx9dVXYzAY4EMf+hCe//zn4zOf+Qz+yT/5J3tR7ApnARdWz69wWqjVatbvyWRS2FYhx+m210c/+lHccccd+N//+3/j4MGDZ6t45yVOp80+97nPYWtrC1/84hdx22234alPfSp+8Rd/8WwW87zCrG2WJAluuOEG3HnnnXja0562V8U77zBPH7viiitwxRVXZL+vvfZaPPLII/jt3/7tivA8jlERngpeHDhwAEEQFFZBx44dK6yWKpxZe3384x/Hq171KvyP//E/8IIXvOBsFvO8wpm02WWXXQYAuOqqq3D06FHccccdFwThmbfNut0u/vqv/xoPPvggXvva1wIwqtPJZIIwDPHJT34S/+yf/bM9Kfu5wG6NY89+9rPx4Q9/eLeLV2EPUdnwVPCi0Wjg6quvxr333mttv/fee/Gc5zznHJXq/MXpttdHP/pR3HTTTfjIRz6Cn/3Znz3bxTyvsFt9bDKZYDAY7HbxzkvM22bLy8v46le/iq985SvZ380334wrrrgCX/nKV3DNNdfsVdHPCXarjz344IO45JJLdrt4FfYS59BgusLjAB/72Mcm9Xp98oEPfGDyt3/7t5Nbbrll0m63J9/5zncmk8lkctttt01e+cpXWuc8+OCDkwcffHBy9dVXT2644YbJgw8+OPmbv/mbc1H8Pce87fWRj3xkEobh5H3ve9/ksccey/42NjbOVRX2HPO22Xvf+97JH//xH0+++c1vTr75zW9Ofv/3f3+yvLw8eeMb33iuqrDnOJ33knGheWnN217vete7Jn/0R380+eY3vzn52te+NrntttsmACb/83/+z3NVhQq7gIrwVJiK973vfZOnPOUpk0ajMfnxH//xyWc/+9ls34033ji57rrrrOMBFP6e8pSn7G2hzyHmaa/rrrvO2V433njj3hf8HGKeNvud3/mdyZVXXjlptVqT5eXlybOe9azJ3XffPUmS5ByU/Nxh3veScaERnslkvvZ629veNvnhH/7hSbPZnOzfv3/y0z/905M/+ZM/OQelrrCbqE0mk8k5Ei5VqFChQoUKFSrsCSobngoVKlSoUKHCEx4V4alQoUKFChUqPOFREZ4KFSpUqFChwhMeFeGpUKFChQoVKjzhURGeChUqVKhQocITHhXhqVChQoUKFSo84VERngoVKlSoUKHCEx4V4alQoUIp7rjjDvzYj/3YuS5GhQoVKpwRqsCDFSpcwJiWkfzGG2/Ee9/7XgwGA6ytre1RqSpUqFBh91ERngoVLmBwBumPf/zj+M3f/E184xvfyLYtLCyg0+mci6JVqFChwq6iUmlVqHAB4+KLL87+Op0OarVaYZtWad1000146UtfirvuuguHDh3CysoK7rzzTsRxjP/wH/4DVldX8aQnPQm///u/b93rH//xH/GKV7wC+/fvx9raGn7hF34B3/nOd/a2whUqVLhgURGeChUqzI2/+Iu/wKOPPor77rsP73znO3HHHXfgJS95Cfbv348vfelLuPnmm3HzzTfjkUceAQD0ej0873nPw+LiIu677z58/vOfx+LiIn7mZ34Gw+HwHNemQoUKFwIqwlOhQoW5sbq6it/5nd/BFVdcgV/6pV/CFVdcgV6vhze84Q24/PLLcfvtt6PRaOAv//IvAQAf+9jHsG/fPvy3//bfcNVVV+HpT386/uAP/gAPP/wwPvOZz5zbylSoUOGCQHiuC1ChQoXHH6688krs25evlw4dOoRnPOMZ2e8gCLC2toZjx44BAB544AH8/d//PZaWlqzr9Pt9fPvb396bQleoUOGCRkV4KlSoMDfq9br1u1arObeNx2MAwHg8xtVXX40//MM/LFzroosuOnsFrVChQoUUFeGpUKHCWceP//iP4+Mf/zgOHjyI5eXlc12cChUqXICobHgqVKhw1vGv//W/xoEDB/ALv/AL+NznPoeHHnoIn/3sZ/Hrv/7r+N73vneui1ehQoULABXhqVChwllHq9XCfffdhyc/+cl42ctehqc//en4pV/6Jezs7FQSnwoVKuwJqsCDFSpUqFChQoUnPCoJT4UKFSpUqFDhCY+K8FSoUKFChQoVnvCoCE+FChUqVKhQ4QmPivBUqFChQoUKFZ7wqAhPhQoVKlSoUOEJj4rwVKhQoUKFChWe8KgIT4UKFSpUqFDhCY+K8FSoUKFChQoVnvCoCE+FChUqVKhQ4QmPivBUqFChQoUKFZ7wqAhPhQoVKlSoUOEJj4rwVKhQoUKFChWe8Pj/AxSJhLSXwgbgAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "import numpy as np\n", "\n", "mtlb = np.loadtxt('mtlb.txt')\n", "Fs = 7418\n", "\n", "fig, ax = plt.subplots()\n", "_, _, _, cax = ax.specgram(mtlb, 256, Fs=Fs, cmap='jet')\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"Frequency\")\n", "fig.colorbar(cax)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "07bf2b25-c772-4314-a601-ba34107f5742", "metadata": {}, "source": [ "## Inverse Fast Fourier transform (IFFT)\n", "\n", "Once we have the FFT of a signal, which represents the signal in the frequency domain as a series of magnitude and phase coefficients, we can reconstruct the signal in the time-domain using the inverse fast fourier transform (IFFT). Here is a concrete example:\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "4e040b1e-b849-4d65-b7a9-64685384bca8", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/hyosubkim/opt/anaconda3/envs/jupyter_books/lib/python3.10/site-packages/matplotlib/cbook/__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return np.asarray(x, float)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct signal and plot in the time domain\n", "fig, axs = plt.subplots(4, 1, figsize=(6, 12))\n", "t = np.linspace(0, 1, 1001)\n", "y = np.sin(2 * np.pi * t * 6) + np.sin(2 * np.pi * t * 10) + np.sin(2 * np.pi * t * 13)\n", "axs[0].plot(t, y, \"b\")\n", "axs[0].set_xlabel(\"Time (s)\")\n", "axs[0].set_ylabel(\"Original signal\")\n", "\n", "# Compute FFT and plot the magnitude spectrum\n", "F = np.fft.fft(y)\n", "N = len(t) # Number of samples\n", "dt = 0.001 # Inter-sample time difference\n", "w = np.fft.fftfreq(N, dt) # Gives list of frequencies for FFT\n", "ipos = np.where(w > 0)\n", "freqs = w[ipos] # Only look at positive fequencies\n", "mags = np.abs(F[ipos]) # Magnitude component\n", "phase = np.imag(F[ipos]) # Phase component\n", "axs[1].plot(freqs, mags, \"b\")\n", "axs[1].set_xlim([0, 50]) # Zoom in on 0-50 Hz freqs\n", "axs[1].set_ylabel(\"FFT magnitude\")\n", "axs[1].set_xlabel(\"Frequency (Hz)\")\n", "\n", "axs[2].plot(freqs, phase, \"b\")\n", "axs[2].set_xlim([0, 50]) # Zoom in on 0-50 Hz freqs\n", "axs[2].set_ylabel(\"FFT phase\")\n", "axs[2].set_xlabel(\"Frequency (Hz)\")\n", "\n", "yr = np.fft.ifft(F)\n", "axs[3].plot(t, y, \"b\", label=\"original\")\n", "axs[3].plot(t, yr, \"r\", label=\"reconstructed\")\n", "axs[3].set_xlabel(\"Time (s)\")\n", "axs[3].set_ylabel(\"Reconstructed signal\")\n", "axs[3].legend(frameon=False)\n", "fig.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "992a8d6a-acd9-4e7f-ac64-1bc634ff57bc", "metadata": {}, "source": [ "You can see above that the original signal is reconstructed in its entirety, simply on the basis of its frequency domain representation (the FFT)." ] }, { "cell_type": "markdown", "id": "5c57954d-4952-4c70-a640-f01d163639e4", "metadata": {}, "source": [ "## Filtering\n", "\n", "We can use this property of signals to filter them. Below I take our original signal containing frequency components at 6, 10 and 13 Hz, I take the FFT, and then I set the values in the FFT corresponding to the frequency peaks of 10 and 13 Hz, to zero (and I leave the value corresponding to the frequency of 6 Hz unchanged). I then reconstruct a signal based on this altered frequency domain representation, using `ifft()`, and plot the resulting signal. What you can see is that by setting the coefficients corresponding to 10 and 13 Hz to zero, I essentially **filtered out** all of the power in the signal at those frequencies. The reconstructed signal now only has power at 6 Hz (the red line, it looks like a pure 6 Hz sinusoid).\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "df5f6ba2-f3f7-4ca8-953f-b74c03cd4a3b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct signal and plot in the time domain\n", "fig, axs = plt.subplots(3, 1, figsize=(6, 12))\n", "t = np.linspace(0, 1, 1001)\n", "y = np.sin(2 * np.pi * t * 6) + np.sin(2 * np.pi * t * 10) + np.sin(2 * np.pi * t * 13)\n", "axs[0].plot(t, y, \"b\")\n", "axs[0].set_xlabel(\"Time (s)\")\n", "axs[0].set_ylabel(\"Original signal\")\n", "\n", "# Compute FFT and plot the magnitude spectrum\n", "F = np.fft.fft(y)\n", "N = len(t) # Number of samples\n", "dt = 0.001 # Inter-sample time difference\n", "w = np.fft.fftfreq(N, dt) # Gives list of frequencies for FFT\n", "ipos = np.where(w > 0)\n", "freqs = w[ipos] # Only look at positive fequencies\n", "mags = np.abs(F[ipos]) # Magnitude component\n", "phase = np.imag(F[ipos]) # Phase component\n", "\n", "ip = np.where(F > 5)[0] # Find peaks in FFT\n", "Fs = np.copy(F) # Make a copy of the signal FFT\n", "Fs[ip[[2, 3]]] = 0 # Set peaks corresponding to \n", "yf = np.fft.ifft(Fs) # reconstruct\n", "\n", "Ff = np.copy(F) # make a copy of the signal FFT\n", "Ff[ip[[1, 2, 3, 4]]] = 0 # set 10Hz and 13Hz peaks to zero\n", "magsf = np.abs(Ff[ipos]) # magnitude component\n", "phasef = np.imag(Ff[ipos]) # phase component\n", "yf = np.fft.ifft(Ff) # reconstruct\n", "\n", "axs[1].plot(freqs, mags, \"b\", label=\"original\")\n", "axs[1].plot(freqs, magsf, \"r\", label=\"filtered\", linewidth=2)\n", "axs[1].set_xlim([0, 50]) # Zoom in on 0-50 Hz freqs\n", "axs[1].set_ylabel(\"FFT magnitude\")\n", "axs[1].set_xlabel(\"Frequency (Hz)\")\n", "\n", "axs[2].plot(t, y, \"b\", label=\"original\")\n", "axs[2].plot(t, yf, \"r\", label=\"filtered\")\n", "axs[2].set_xlabel(\"Time (s)\")\n", "axs[2].set_ylabel(\"Reconstructed signal\")\n", "axs[2].legend(frameon=False)\n", "fig.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "bc4d0f6e-b299-4326-93bf-e2037bdd53aa", "metadata": {}, "source": [ "This is a fairly simple-minded way of filtering a signal, but it illustrates the underlying concepts. There are an entire range of algorithms for filtering that are designed to manipulate frequency ranges, and they differ in a number of respects including how quickly they alter the frequencies in question, how they affect the phase information in the signal, and a number of other things we won't go into here. There are entire signal processing textbooks oriented around this topic, so if you're interested in details, I can point you towards some good sources.\n", "\n", "Here is a short summary of different kinds of filters, and some terminology.\n", "\n", "* **low-pass filters** pass low frequencies without change, but attenuate (i.e. reduce) frequencies above the **cutoff frequency**\n", "* **high-pass filters** pass high frequencies and attenuate low frequencies, below the cutoff frequency\n", "* **band-pass filters** pass frequencies within a **pass band** frequency range and attenuate all others\n", "* **band-stop filters** (sometimes called **band-reject filters** or **notch filters**) attenuate frequencies within the **stop band** and pass all others" ] }, { "cell_type": "markdown", "id": "cb14515a-00f6-4674-8470-f9099cb2e8a8", "metadata": {}, "source": [ "### Characterizing filter performance\n", "\n", "A useful way of characterizing a filter's performance is in terms of the ratio of the amplitude of the output to the input (the amplitude ratio AR or gain), and the phase shift (\\(\\phi\\)) between the input and output, as functions of frequency. A plot of the amplitude ratio and phase shift against frequency is called a [Bode plot](http://en.wikipedia.org/wiki/Bode_plot).\n", "\n", "The **pass band** of a filter is the range of frequencies over which signals pass with no change. The **stop band** refers to the range of frequencies over which a filter attenuates signals. The **cutoff frequency** or **corner frequency** of a filter is used to describe the transition point from the pass band to the reject band. This this transition cannot occur instantaneously it is usually defined to be the point at which the filter output is equal to -6 dB of the input in the pass band. The cutoff frequency is sometimes called the -6 dB point or the half-power point since -6 dB corresponds to half the signal power. The **roll-off** refers to the rate at which the filter attenuates the input after the cutoff point. When the roll-off is linear it can be specified as a specific slope, e.g. in terms of dB/decade or dB/octave (an octave is a doubling in frequency).\n", "\n", "Let's look at some examples of filter characteristics." ] }, { "cell_type": "markdown", "id": "4cab6f95-c5bf-48d6-9f73-02bbfcac6015", "metadata": {}, "source": [ "
\n", "
<
\n", "" ] }, { "cell_type": "markdown", "id": "821b5a76-65c4-4dc7-9fae-93493d48861e", "metadata": {}, "source": [ "Here the blue trace shows the power spectrum for the unfiltered signal. The red trace shows a lowpass-filtered version of the signal with a cutoff frequency of 30 Hz. The green trace shows a low-pass with a cutoff frequency of 130 Hz. Also notice that the roll-off of the 30 Hz lowpass is not as great as for the 130 Hz lowpass, which has a higher roll-off.\n", "\n", "Here are the corresponding signals shown in the time-domain:\n", "\n", "
\n", "
\n", " \n", "" ] }, { "cell_type": "markdown", "id": "c8cdf48c-7229-41d2-babc-a30c856f050a", "metadata": {}, "source": [ "So we see a very good example of how low-pass filtering can be used very effectively to filter out random noise. Key is the appropriate choice of cut-off frequency." ] }, { "cell_type": "markdown", "id": "d64e308e-16bc-4692-9aa4-9b5ef90011de", "metadata": {}, "source": [ "### Common Filters\n", "\n", "There are many different designs of filters, each with their own characteristics (gain, phase and delay characteristics). Some common types:\n", "\n", "* **Butterworth Filters** have frequency responses which are maximally flat and have a monotonic roll-off. They are well behaved and this makes them very popular choices for simple filtering applications. For example in my work I use them exlusively for filtering physiological signals. MATLAB has a built-in function called `butter()` that implements the butterworth filter.\n", "* **Tschebyschev Filters** provide a steeper monotonic roll-off, but at the expense of some ripple (oscillatory noise) in the pass-band.\n", "* **Cauer Filters** provide a sharper roll-off still, but at the expense of ripple in both the pass-band and the stop-band, and reduced stop-band attenuation.\n", "* **Bessel Filters** have a phase-shift which is linear with frequency in the pass-band. This corresponds to a pure delay and so Bessel filters preserve the shape of the signal quite well. The roll-off is monotonic and approaches the same slope as the Butterworth and Tschebyschev filters at high frequencies although it has a more gentle roll-off near the corner frequency." ] }, { "cell_type": "markdown", "id": "78116220-baa5-473f-9333-fad217a52eb9", "metadata": {}, "source": [ "### Filter order\n", "\n", "In [filter design](http://en.wikipedia.org/wiki/Filter_design) the **order** of a filter is one characteristic that you might come across. Technically the definition of the filter order is the highest exponent in the [z-domain](http://en.wikipedia.org/wiki/Z-transform) ([transfer function](http://en.wikipedia.org/wiki/Transfer_function)) of a [digital filter](http://en.wikipedia.org/wiki/Digital_filter). That's helpful isn't it! (not) Another way of describing filter order is the degree of the approximating polynomial for the filter. Yet another way of describing it is that increasing the filter order increases roll-off and brings the filter closer to the ideal response (i.e. a \"brick wall\" roll-off).\n", "\n", "Practically speaking, you will find that a second-order butterworth filter provides a nice sharp roll-off without too much undesirable side-effects (e.g. large time lag, ripple in the pass-band, etc).\n", "\n", "See [this section](http://en.wikipedia.org/wiki/Low-pass_filter#Continuous-time_low-pass_filters) of the wikipedia page on low-pass filters for another description." ] }, { "cell_type": "markdown", "id": "482f4175-228d-4a1c-93d3-6b042515f5a1", "metadata": {}, "source": [ "### Code for a low-pass Butterworth filter\n", "\n", "Here is a function to implement a second order low-pass butterworth filter in Python with SciPy:" ] }, { "cell_type": "code", "execution_count": 7, "id": "5e409da1-4450-46e8-b996-bd29de8aa903", "metadata": {}, "outputs": [], "source": [ "from scipy.signal import butter, filtfilt\n", "def lowpass(data, samprate, cutoff):\n", " b, a, = butter(2, cutoff / (samprate / 2.0), btype=\"low\", analog=0, output=\"ba\")\n", " data_f = filtfilt(b, a, data)\n", " return data_f" ] }, { "cell_type": "markdown", "id": "2956c253-61b8-435e-b8cc-2a66519e5a9b", "metadata": {}, "source": [ "We use a two-pass, bi-directional filter function (called `filtfilt()`) to apply the butterworth filter to the signal. One-way single-pass filter functions (e.g. `filter()`) introduce time lags. This is why in real-time applications in which you want to filter signals in real time (e.g. to reduce noise) there are time lags introduced." ] }, { "cell_type": "markdown", "id": "bc0167ad-989b-48ca-9a7b-d1f640110aea", "metadata": {}, "source": [ "### Application: high-frequency noise and taking derivatives\n", "\n", "One of the characteristics of just about any experimental measurement is that the signal that you measure with your instrument will contain a combination of true signal and \"noise\" (random variations in the signal). A common approach is to take many measurements and average them together. This is what is commonly done in EEG/ERP studies, in EMG studies, with spike-triggered averaging, and many others. The idea is that if the \"real\" part of the signal is constant over trials, and the \"noise\" part of the signal is random from trial to trial, then averaging over many trials will average out the noise (which is sometimes positive, sometimes negative, but on balance, zero) and what remains will be the true signal.\n", "\n", "You can imagine however that there are downsides to this approach. First of all, it requires that many, many measures be taken so that averages can be computed. Second, there is no guarantee that the underlying \"true\" signal will in fact remain constant over those many measurements. Third, one cannot easily do analyses on single trials, since we have to wait for the average before we can look at the data.\n", "\n", "One solution is to use signal processing techniques such as **filtering** to separate the noise from the signal. A limitation of this technique however is that when we apply a filter (for example a low-pass filter), we filter out **all** power in the signal above the cutoff frequency — whether \"real\" signal or noise. This approach thus assumes that we are fairly certain that the power above our cutoff is of no interest to us.\n", "\n", "One salient reason to low-pass filter a signal, and remove high-frequency noise, is for cases in which we are interested in taking the temporal derivative of a signal. For example, let's say we have recorded the position of the fingertip as a subject reaches from a start position on a tabletop, to a target located in front of them on a computer screen. Using a device like Optotrak we can record the (x, y, z) coordinates of the fingertip at a sampling rate of 200 Hz. Below is an example using simulated data of such a recording\n", "\n", "In the cell below, we create the simulated data:" ] }, { "cell_type": "code", "execution_count": 8, "id": "f00a6a1b-6527-4e50-9263-b2861f92b326", "metadata": {}, "outputs": [], "source": [ "# Simulate \"position\" signal with some noise \n", "t = np.linspace(0, 600, 601)\n", "mu = 250\n", "sigma = 25\n", "x_dot = 2 * np.exp((t - mu)**2 / (-2 * sigma**2))\n", "pos = np.cumsum(x_dot) + np.random.random(size=len(t)) * 0.25" ] }, { "cell_type": "markdown", "id": "1b06b704-cc69-482a-8521-8078e1b1ba47", "metadata": {}, "source": [ "Next, we plot the data:" ] }, { "cell_type": "code", "execution_count": 9, "id": "8aea3820-0f24-4586-9072-d68ed65dbf50", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot unfiltered signal and derivatives\n", "fig, axs = plt.subplots(3, 1, figsize=(8, 10), sharex=True)\n", "axs[0].plot(t, pos, c=\"b\")\n", "axs[1].plot(t[0:-1], np.diff(pos), c=\"b\")\n", "axs[2].plot(t[0:-2], np.diff(np.diff(pos)), c=\"b\")\n", "\n", "axs[0].set_ylabel(\"Position (mm)\")\n", "axs[1].set_ylabel(\"Velocity (mm/s)\")\n", "axs[2].set_ylabel(\"Acceleration ($mm/s^2$)\")\n", "axs[2].set_xlabel(\"Samples (200 Hz)\");" ] }, { "cell_type": "markdown", "id": "6e38dc3c-c7cc-4c93-b298-61de74fab8ec", "metadata": {}, "source": [ "The top panel shows position in one coordinate over time. The middle panel shows the result of taking the derivative of the position signal to obtain velocity. I have simply used the `diff()` function here to obtain a numerical estimate of the derivative, taking the forward difference. Note how much noisier it looks than the position signal. Finally the bottom panel shows the result of taking the derivative of the velocity signal, to obtain acceleration. It is so noisy one cannot even see the peaks in the acceleration signal, they are completely masked by noise.\n", "\n", "What is happening here is that small amounts of noise in the position signal are amplified each time a derivative is taken. One solution is to **low-pass filter** the position signal. The choice of the cutoff frequency is key — too low and we will decimate the signal itself, and too high and we will not remove enough of the high frequency noise. It happens that we are fairly certain in this case that there isn't much real signal power above 12 Hz for arm movements. Here is what it looks like when we low-pass filter the position signal at a 12 Hz cutoff frequency:" ] }, { "cell_type": "code", "execution_count": 10, "id": "5b1ec0d3-4f79-4e8a-8b87-71c4a0052080", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Low-pass filter position signal\n", "pos_filt = lowpass(pos, 200, 12)\n", "\n", "# Plot unfiltered and filtered signals together\n", "fig, axs = plt.subplots(3, 1, figsize=(8, 10), sharex=True)\n", "axs[0].plot(t, pos, c=\"b\")\n", "axs[0].plot(t, pos_filt, c=\"r\")\n", "axs[1].plot(t[0:-1], np.diff(pos), c=\"b\")\n", "axs[1].plot(t[0:-1], np.diff(pos_filt), c=\"r\")\n", "axs[2].plot(t[0:-2], np.diff(np.diff(pos)), c=\"b\")\n", "axs[2].plot(t[0:-2], np.diff(np.diff(pos_filt)), c=\"r\")\n", "\n", "axs[0].set_ylabel(\"Position (mm)\")\n", "axs[1].set_ylabel(\"Velocity (mm/s)\")\n", "axs[2].set_ylabel(\"Acceleration ($mm/s^2$)\")\n", "axs[2].set_ylim([-0.1, 0.1])\n", "axs[2].set_xlabel(\"Samples (200 Hz)\");" ] }, { "cell_type": "markdown", "id": "a462fa2d-b9ab-4909-9e9f-ad6defad6481", "metadata": {}, "source": [ "What you can see is that for the position over time, the filtered version (shown in red) doesn't differ that much, at least not visibly, from the unfiltered version (in blue). The velocity and acceleration traces however look vastly different. Differentiating the filtered position signal yields a velocity trace (shown in red in the middle panel) that is way less noisy than the original version. Taking the derivative again of this new velocity signal yields an acceleration signal (shown in red in the bottom panel) that is actually usable. The original version (shown in blue) is so noisy it overwhelms the entire panel. Note the scale change on the ordinate." ] }, { "cell_type": "markdown", "id": "651d7e9f-f659-4b8d-aaf4-a2432527574c", "metadata": {}, "source": [ "## Quantization\n", "\n", "Converting an analog signal to a digital form involves the quantization of the analog signal. In this procedure the range of the input variable is divided into a set of class intervals. Quantization involves the replacement of each value of the input variable by the nearest class interval centre.\n", "\n", "Another way of saying this is that when sampling an analog signal and converting it to digital values, one is limited by the precision with which one can represent the (analog) signal digitally. Usually a piece of hardware called an analog-to-digital (A/D) board is the thing that performs this conversion. The range of A/D boards are usually specified in terms of **bits**. For example a 12-bit A/D board is capable of specifying $2^{12}=4096$ unique values. This means that a continuous signal will be represented using only 4096 possible values. A 16-bit A/D board would be capable of using $2^{16}=65,536$ different values. Obviously the higher the better, in terms of the resolution of the underlying digital representation. Often however in practice, higher resolutions come at the expense of lower sampling rates.\n", "\n", "As an example, let's look at a continuous signal and its digital representation using a variety of (low) sample resolutions:\n", "\n", "\n", "
\n" ] }, { "cell_type": "markdown", "id": "aca9f327-22f6-402d-b490-67c39758fdde", "metadata": {}, "source": [ "Here we see as the number of possible unique values increases, the digital representation of the underlying continuous signal gets more and more accurate. Also notice that in general, quantization adds noise to the representation of the signal.\n", "\n", "It is also important to consider the amplitude of the sampled signal compared to the range of the A/D board. In other words, if the signal you are sampling has a very small amplitude compared to the range of the A/D board then essentially your sample will only be occupying a small subset of the total possible values dictated by the resolution of the A/D board, and the effects of quantization will be greatly increased.\n", "\n", "For example, let's say you are using an A/D board with 12 bits of resolution and an input range of +/- 5 Volts. This means that you have $2^{12}=4096$ possible values with which to characterize a signal that ranges maximally over 10 Volts. If your signal is very small compared to this range, e.g. if it only occupies 25 millivolts, then the A/D board is only capable of using $0.0025/10*4096 = 10$ (ten) unique values to characterize your signal! The resulting digitized characterization of your signal will not be very smooth.\n", "\n", "Whenever possible, amplify your signal to occupy the maximum range of the A/D board you're using. Of course the trick is always to amplify the signal without also amplifying the noise!" ] }, { "cell_type": "markdown", "id": "d5ccacec-993c-421d-ad06-13f693b7e63a", "metadata": {}, "source": [ "## Sources of noise\n", "\n", "It is useful to list a number of common sources of noise in physiological signals:\n", "\n", "* **Extraneous Signal Noise** arises when a recording device records more than one signal — i.e. signals in addition to the one you as an experimenter are interested in. It's up to you to decide which is signal and which is noise. For example, electrodes placed on the chest will record both ECG and EMG activity from respiratory muscles. A cardiologist might consider the ECG signal and EMG noise, while a respiratory physiologist might consider the EMG signal and the ECG noise.\n", "* **1/f Noise**: Devices with a DC response sometimes show a low frequency trend appearing on their output even though the inputs don't change. EEG systems and EOG systems often show this behaviour. Fourier analyses show that the amplitude of this noise increases as frequency decreases.\n", "* **Power or 60 Hz Noise** is interference from 60 Hz AC electrical power signals. This is one of the most common noise sources that experimental neurophysiologists have to deal with. Often we find, for example, on hot days when the air conditioning in the building is running, we see much more 60 Hz noise in our EMG signals than on other days. Some neurophysiologists like to do their recordings late at night or on weekends when there is minimal activity on the electrical system in their building.\n", "* **Thermal Noise** arises from the thermal motion of electrons in conductors, is always present and determines the theoretical minimum noise levels for a device. Thermal noise is white (has a Gaussian probability distribution) and thus has a flat frequency content — equal power across all frequencies." ] }, { "cell_type": "markdown", "id": "4f494196-5023-4445-8401-771a201ee7ff", "metadata": {}, "source": [ " This work is licensed under a [Creative Commons Attribution 4.0 International License](http://creativecommons.org/licenses/by/4.0/) \n", "[![Creative Commons License](http://i.creativecommons.org/l/by/4.0/80x15.png)](http://creativecommons.org/licenses/by/4.0/) \n", "
" ] }, { "cell_type": "code", "execution_count": null, "id": "d284bbdf-bb07-4f0e-9651-b05c6749aa64", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "jupyter_books", "language": "python", "name": "jupyter_books" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 5 }