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TEMcoax.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge,IE=9,chrome=1"><meta name="generator" content="MATLAB 2021a"><title>TEM-mode in a coaxial waveguide (Section 6.2)</title><style type="text/css">.rtcContent { padding: 30px; } .S0 { margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: normal; text-align: left; }
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.S9 { border-left: 1px solid rgb(233, 233, 233); border-right: 1px solid rgb(233, 233, 233); border-top: 0px none rgb(0, 0, 0); border-bottom: 1px solid rgb(233, 233, 233); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 17.234px; min-height: 18px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; }</style></head><body><div class = rtcContent><div class = 'S0'><span>Companion software for "Volker Ziemann, </span><span style=' font-style: italic;'>Hands-on Accelerator physics using MATLAB, CRCPress, 2019</span><span>" (https://www.crcpress.com/9781138589940)</span></div><h1 class = 'S1'><span>TEM-mode in a coaxial waveguide (Section 6.2)</span></h1><div class = 'S0'><span>Volker Ziemann, 211113, CC-BY-SA-4.0</span></div><div class = 'S0'><span style=' font-weight: bold;'>Important:</span><span> this example requires the PDE toolbox!</span></div><div class = 'S0'><span>The central conductor present in coaxial waveguides causes the fields to be purely transverse; both longitudinal compenents </span><span texencoding="E_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="16" height="20" /></span><span> and </span><span texencoding="H_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="20" /></span><span>vanish in the region between the conductors, which forces the transverse fields to obey Equation 6.6 and 6.7. This in turn implies that the fields can be expressed as derivatives </span><span texencoding="E_x=-\partial\Phi/\partial x" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="86.5" height="20" /></span><span> and </span><span texencoding="E_y=-\partial\Phi/\partial y" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="87" height="20" /></span><span> of a potential </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);">Φ</span><span>, which obeys Laplace's equation </span><span texencoding="\triangle\Phi=0" style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAAkCAYAAACQePQGAAAFVklEQVRoQ+2aZagmZRTHf2uiYDfmB901sbvFWldUUBTsDmw/GNiNXSju2oUNKiZ2ByYGNvpBsbCwm5+cWWbHyXfhvs/KnC/33nfOzHPm/E/8z3nvKHpJzgOjkrOoN4gelASDoAelByVBDyRoUp8pPSgJeiBBk4aVKWsC+wFLA8sW/PId8BjwInBKgj7rYtLGwP7AAvAvqZoWuA04H/A9S2VYoOSNmQDsFR98DiwBfNPlzRPUnQq4MAA5CzgK+DMC8B7gZ2Az4L0y21MAZVfgqjDuAWDTBJ3c1aQTgOMj21cLQLJnrA08AbwLrFKWMYOAsjrwPvBlV0tDf1VgC2BRYOH4OUdc+zWM/Rj4CHgEuA/4ZcCzhnHbaOAtYGpgI+ChEiOeD0DOBI4oXu8Kimn5EvACsE/HNxZMa6nRoRgt1wBzA6fnMuViwJ6zOzAXYEk7Cbik43nDUr8M2BMwwGatCCjf98goY/MC3+eN7QrK3sB44C9gBeC1lm++E3BFNLq/AdP7ZMDfxwF3x3OuB9RVZgduBjaMv/19h0IpaHn8iKmZHZ8BcwZZWb/i5E2A++PazsB1g4IySzQmo1d5HFivxesK3rPAdKFrupq2mVSB4vUZgbeBBUP5VOCYFmcOS2Up4I043EZ/cIUh8wR4Xr4a2G1QUM4FDgWeAhYDfPA2wO0NHrgD2DJ0bG7S4N9bgqKazEyGpthb5ge+HpbXG87NZ8CJURHKbpk+V9ZeBZYfBJQxwOvBtX3AioGwzVgKW9WIPfwHYJo49ADAnpGXukxRT27vM7JMM6qMrjYiHfXMyZVForc1PWcP4PJQMoDtoVXyEzAD8FX0zol6bXvKvcDY4N6mpPc9A0j3jgZOqzhZhpXn4jZw7+sCirqWBEuDYi86rsk7cf084JCWunVqNmMJR5McG6REvabg+RSYD/gjAq8TKA45Djwiatn6Nu5eCZDaibiZ5CFFWRJ4M/ehk+0nA4BiU7Q0KE75vnyK4pCYBeguwLU1Rkr7F4oqY8a0BsXSYdnS6TIv6V5eMvrn4RpRFMmB9V8qrWwAPDoAKNpgL1IcNqXSKYrZcWUYdhBwUY2R0uCZgA9iVmsNymHAOcDLwMpBhfPnyMRs3jrfUub8UpSngTXiw7LS09RTzE7PUFxP2OhTXcNY4i31iiXW9y0Te2xGdp4E1skr1fUUHW4/mBlYq6QXZM85MHrNc+F8Z4+8OL3fmXPqMhEdmU4dKDZ3jc4GTumwtDhVyVNi+5lBXSbOMdlG5EZg+7agZItCBxsHnCpxYHoF0Nk7AjeUKF4AmM6Kc4d6bgaUKlCk3DK1rUNPxuWUXwS9DqCRZl8GuYTAgLYPmjllku2/vLZvDOQT9aoyZblwWl0Tzx+2bkywNnH7z48llphRNmkzT8ZxUyzsLH1yeuXBmG4dOAVAXUF0LVHXNKuAGWn2pR2XxgpKH8xWmMkyO7OFpX5w/zcJSaoCxWndOlecvuuiUidv10BZbWzbAoIoM9Nol5ECo7gv+gL4EHgHcGvs8OlaZ0oR30tiIrmx7NtTi2JJ9lopQSoDRae5Z1J+6+AQy5hszUFycUDK10Zc3mWs7uHcrqvNvanqnAEcDtwaQZi3U8LkKGFP8Qs+d2WTSBEU+bLlQv48OXJLZE3TMzz/LmDzUJRV2ZuKs0zTc1K7bnA62duLrTZnR3C71rfXuNOTAJWx1aH935drfFf/UmUpb16sxZZP075qU5AaCFX2bBXfPma9RTCkzBKf/2RI9pC2a5YpxQn/Czt7UBKEsQelByVBDyRoUp8pPSgJeiBBk/pM6UFJ0AMJmtRnSoKg/ANZ/hI0+df55wAAAABJRU5ErkJggg==" width="50.5" height="18" /></span><span> with constant potentials specified on the metallic boundaries. </span></div><div class = 'S0'><span>In order to solve this problem, we define the domain in which to solve </span><span texencoding="\triangle\Phi=0" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="50.5" height="18" /></span><span> as the difference between two concentric circles labeled</span><span style=' font-family: monospace;'> outer</span><span> and </span><span style=' font-family: monospace;'>inner,</span><span> create the </span><span style=' font-family: monospace;'>model</span><span> and add the geometry </span><span style=' font-family: monospace;'>g</span><span> to it. The only difference to previous examples is that we here define the region of interest as the difference between two regions.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S2'><span style="white-space: pre"><span >clear </span><span style="color: rgb(170, 4, 249);">all</span><span >; close </span><span style="color: rgb(170, 4, 249);">all</span><span >;</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >outer=[1;0;0;0.1]; inner=[1;0;0;0.02];</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >gd=[outer,inner]; </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >ns=char(</span><span style="color: rgb(170, 4, 249);">'outer'</span><span >,</span><span style="color: rgb(170, 4, 249);">'inner'</span><span >)'; </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >sf=</span><span style="color: rgb(170, 4, 249);">'outer-inner'</span><span >; </span><span style="color: rgb(2, 128, 9);">% difference</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >g=decsg(gd,sf,ns); </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >model=createpde(1);</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >geometryFromEdges(model,g);</span></span></div></div></div><div class = 'S5'><span>After inspecting the </span><span style=' font-family: monospace;'>EdgeLabels</span><span> and the </span><span style=' font-family: monospace;'>SubDomainLabels</span><span> we use the first to define the potentials </span><span style=' font-family: monospace;'>u =</span><span> </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);">Φ</span><span> on the inner and outer conductors to be 0 and 1, respectively. The Laplace operator in cartesian coordinates is given by the the second derivatives, which we take into account by specifying </span><span style=' font-family: monospace;'>c=1</span><span> in </span><span style=' font-family: monospace;'>specifyCoefficients()</span><span>. At this point we can generate the mesh and display it.</span></div><div class="CodeBlock"><div class="inlineWrapper outputs"><div class = 'S6'><span style="white-space: pre"><span >pdegplot(model,</span><span style="color: rgb(170, 4, 249);">'EdgeLabels'</span><span >,</span><span style="color: rgb(170, 4, 249);">'on'</span><span >,</span><span style="color: rgb(170, 4, 249);">'SubDomainLabels'</span><span >,</span><span style="color: rgb(170, 4, 249);">'on'</span><span >); axis </span><span style="color: rgb(170, 4, 249);">equal</span></span></div><div class = 'S7'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="3593D454" data-scroll-top="null" data-scroll-left="null" data-testid="output_0" style="width: 1364px;"><div class="figureElement"><div class="figureContainingNode" style="width: 560px; max-width: 100%; display: inline-block;"><div class="GraphicsView" data-dojo-attach-point="graphicsViewNode,backgroundColorNode" id="uniqName_333_12" widgetid="uniqName_333_12" style="width: 100%; height: auto;"><div class="ImageView" id="uniqName_333_17" widgetid="uniqName_333_17" style="width: 100%; height: auto;">
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">
</div></div></div></div></div></div></div><div class="inlineWrapper"><div class = 'S8'><span style="white-space: pre"><span >applyBoundaryCondition(model,</span><span style="color: rgb(170, 4, 249);">'Edge'</span><span >,[1:4],</span><span style="color: rgb(170, 4, 249);">'u'</span><span >,0); </span><span style="color: rgb(2, 128, 9);">% outer</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >applyBoundaryCondition(model,</span><span style="color: rgb(170, 4, 249);">'Edge'</span><span >,[5:8],</span><span style="color: rgb(170, 4, 249);">'u'</span><span >,1); </span><span style="color: rgb(2, 128, 9);">% inner</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >specifyCoefficients(model,</span><span style="color: rgb(170, 4, 249);">'m'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'d'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'c'</span><span >,1,</span><span style="color: rgb(170, 4, 249);">'a'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'f'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'Face'</span><span >,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >generateMesh(model,</span><span style="color: rgb(170, 4, 249);">'Hmax'</span><span >,0.01);</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S9'><span style="white-space: pre"><span >figure; pdemesh(model); axis </span><span style="color: rgb(170, 4, 249);">equal</span><span >;</span></span></div><div class = 'S7'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="9075AEB1" data-scroll-top="null" data-scroll-left="null" data-testid="output_1" style="width: 1364px;"><div class="figureElement"><div class="figureContainingNode" style="width: 560px; max-width: 100%; display: inline-block;"><div class="GraphicsView" data-dojo-attach-point="graphicsViewNode,backgroundColorNode" id="uniqName_333_13" widgetid="uniqName_333_13" style="width: 100%; height: auto;"><div class="ImageView" id="uniqName_333_19" widgetid="uniqName_333_19" style="width: 100%; height: auto;">
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23rpZTiTqWwLPQ96+qWWinFgzUNXUfbcjzSdW6plVpZV+aZcaTvaVsOB87O6HsnpTCOXF9zfc31NdfXXF97xsUFFxdcXFCKk1KcXF8zjpydcXbG4UDb0veMI/PMunrq8pJxpO+ZJkrxYE3DunqqVo5HJ8PghUqhVg9SK31P1zEM/lIpTBPL4uTsjHGkVrvd7i+d2+12769aGUfa1smyME00je+2LDQNbetBaqUUL9Q0TBN9z7p6ahxpGi/l8pJamWfWlb6nbTkcOBxoW8aR62tq5eKCYWCauLlhWSjFyTAwTUwT08Q0MU0MA8PAMDAMdB1dR9dRK11HrVxeMk0sCzc3bBvLwjBQipPra8aRszPOzhhH1pVaub5mXT3Y5SXX105q5Xh0Mgzu1TSsq3uNI23LNDEMTkqhVn+pFIaBbXNyOND31Gq3+2F3brfbvT9qZRxpWyfbxjBQiu9UK6V4ahi4vORwYF290PU1TeNeTcM00ffU6qRWLi7cqVbWlXmm72lb2pZanZTCxQXDwLJwc8O2sSxME9NE19E0NI2TdaUUhoFx9FJqZV2ZJq6uGEe3lEIpNA3DwDAwTSwLNzdsG13npBRqZRw5O+NwoO8ZR9aVWj2jaZhnauV4dDIMHuzrX3enWhlH5plloRQvVgrDwLZRCocD40itdrsfVud2u933p1bGkbZ1sm0Mg7t8/eue0XVME33PurpTrbz6qgdpGqaJtqVWJ03jpFbWlXmm7zkcaFv6nutrLi4YBraNqyuahnWl62gaSvEgxyPDQNc5WVcP1vcMg5NhYJ6p1UtZV7qOUpgmloWbG5aFiwsn48jhwOHA4cA4Mo7USimMo5Nh8GAXF9TquWrleHSybZTillKo1fOVwjCwbU4OB8bRbvfD6Nxut/ve1Mo40rZOloVh8BCleEbTsCy0LevquWqlFA/WNAwDh4OTvudwoG0ZR66vubhgmtg2to1poutoGifryjBQCuPowdaVWmkaJ8NA33uQWqmVrvNU13E8erBxpBSmiXl2Syl0HcPAsnBzw7IwTZ4aR2plnp2sqwcrhXn2jFrpeyfD4HtXCsPAtjk5O2Mc7XY/TM7tdruXUyvjSNtSK8vCMFCK71cpbBvjyDh6xrpSinvVyjzT9/S9k1q5uGCa2DaWhWmi62gaz1UrtdI0LAtXV6yrBzke6TpPNQ2lMI7u1fcMg1uGgasrD7KurCvT5KQU5tkLlULTMAwMA5eXTprGSd9zOND3jKMXahrPWFfalqZhGNypFGr1MKUwDGybWnE4MI52ux8G53a73cOtK21rnatDXYxlohQvo1ZefdWdSmFZWFfa1lO1UgqleK5amWf6nsOBcaQUloWmoWk4HmkaD3Y8UoqnloVxdK9aWVcuL90yTVxdeaF1pVa6zi2l0DTMsxeqlXFkmjw1DFxfe7BaGUe2jXVlGNg2loVSWFfOzjgcGEdq9YxSqNXJONL3LAvD4H1XFX0dHOpivVo5HFhXu90H2bndbne/WhlH+p5hcGwm3VWxrhwOrKsHq9WDLAul0LZOaqUUt9TKPNO2tC3X11xccHPDtjEMlEKtLIuTcfRg68oweKppnIyjF1pXSqEUt5RC19H37jSODIPnGgbG0Qsdj5RC03iqFObZg9RK2zJNlEIprKuTUhgGloVtY5qcHA4cDowj6+qkaTgeGUfmmW2jFPcqha9/3YONI21L09B0RZ0Wpom+p22p1W73QXRut9vdrVbGkbZ1sm10nW9bFqaJtmUcPVgpHmSauLzkcGAcKYVaGUfalrbl+prLS7aNaaLr3FKrp5aFdWVd3atWaqVp3DJNXF2xru50PDIMnmuamGfW1TPWlVrpOs/VNJTCunquWplnhsEtTUMp1Ope40jX0TROmobj0TNKoWkYBm5uWBYn48jhwLpydeVk27zvaqVtmWeWhWHwV5qGbaNpOBwYR7vdB8253W73fPNM21Iry8Iw+LZSPNU0bBvryuFArd5XXccwsK7MM21LrQwD28Y00XXudH1NKZ6aJtqWdfVCtVKKZ5TCNDGOnqtWaqVp3GmaGEfPGEemyQtdXjKOnqvvGQZK8YymYV290DyzrgyDpy4uPEgpDAPLwjRRq5N5Zhw92KuvUqsXGkfalqZh2yjFSa2U4q8MA9vm5HBgXe12HxTndrvdbbUyjowj08Q0UYoXKYVlYRg4HBhHd6qVUtyrVuaZtmUcPTVNTBNN40FqpWk8VQrLQt97oeORpvFcXedknj1jHOk6L9R11Mq6emqeqZWm8UJdR62sq1vm2UnXea6LC66v3alWxpFlcUvXMc/U6kFqpe/pOpqGZaFWDgfG0felVsaReWZZGAb3K4VhYFkYR9rWbvdBcG632/2VcaRtnWwbTeN5Xn2VWj2j69g21pW2pVbPqNUL1co40raMI5eXbBtNwzTRtqyrB6uViwu3NA1dR9u6U61cXLjTNNH31OqpWplnLi7caxgYRye1cjwyTR5kGDgePVUr48gwuFPXMc/U6hm10vdME6V4Rtexru41jrQty8LlpZNSmCaWxcnZGeNIre5Uq2eMI23rZNsoxcsphWWhaTgcGEe73WN2brfbUSvjyDyzLAyD71UpLAtNw+HAOHpGKW6plXmm72lbamWa2Da6zkmtlMK20basq3vVyrrSNJ4xDE7G0TNqpVaaxp1KYZroe0+tK01D07hX1zmZZ9bVSdN4kK5jnqnVyTjSdTSNF+o61tUzjkdKoWk818UF19deaByZZ5aFUpzU6qlSGAa2zcnhQNtSq1tKcUutjCPzzLIwDL4/w8CysK60rd3usTq32/2wG0fa1sm2UYr3wzCwbawrbeukVkrxVK2MI23LOFIK28Y00TRuqZVSKIVto21ZV/cqxZ2WhXVlXd1yPNI07tV1TubZyfHIMHiwYWAcGUeGwUvpOsaRdWVdGQb3urjg+tot88w8M03u1DTMs+eqlXGkVraNUpyU4rlKYRi4uaFpaFsOB+bZSSnU6mSe6Xsn20YpXqhWSnG/UlgWmobDgXG02z025x6Zb3zjG77yla/ITPf5xje+4Stf+YrM9Dy1Vl/5ylf8+Z//ud0PoVppW+aZZWEYPFQp1OpepbAsNA2HA8ejk3Wl72lbamWa2DaGwQuV4qQUto22ZV3dqVZK8ULTRNuyrp5aVy4vPcg00fesK7XSNJ6rVmplXZln+p7jkVqplXGk7+l7xpFxZByZZ9aVdWVdqdXJNDHP9D3T5EG6jnn2VK2MI8vihUqhFGp1S630vZNp8tKGgW2j6xhHDgeOR2plHBlHpolh8NdjGFgW1pW2tds9Jucekd///d/3G7/xG7785S/7rd/6LW+88Ya7/P7v/77f+I3f8OUvf9lv/dZveeONN3ynaZr8q3/1r3z5y1/27/7dv/Pv//2/t/shsq5q2xvXRls2VfHXaRhYFuaZWul7SmHbmCaaxgvVSiluKYVloe9ZV891fU3TeKFSWBb6nlqplVppGg9SCldXtC2lMM+MI31P29K2nJ3RtrQt48j1NaVwcUEpTi4vubjg4sJTtXJ9zTgyjvQ9bcvZGWdnTmrl+ppxZF3dq2mYZ2ql7xkGSnGvpmFdPVUrfU/TMAyeUQq1epBhYNtYFtbVyTyzbZTiwWqlFA9WK+OxaC3GteFwYF3tdo/BuUfinXfeMQyD4/Hos5/9rN/7vd8zTZNaq+/2zjvvGIbB8Xj02c9+1u/93u+Zpkmt1Xveffddn/vc58zz7LOf/az/9J/+ky996Uv+/M//3O4DrlbGkb5Xh8lcBk3D4cA4eim1erBa6XtqpRQnw+D71jRME33PunrGunJx4V5NwzTR99RKKZ5RK7Uyz8wzfU/bcjhwdeWkVq6vqZWLC4aBYeDmhm1j21gWpolhoGmcXF1xfU3X0XUMA8PANDFNLAvLwraxbdzcsG2eMY6cnXE4MI6MI+vqlstLrq85HimFrvMgFxdcXzuplb6naRgG74taOR6p1UkpHA6Mo/ddrYwjbUutDANzGVgW+p5xtNv9oDv3SPzRH/2RD3/4wz72sY95z0/+5E/61V/9VX/8x3/su/3RH/2RD3/4wz72sY95z0/+5E/61V/9VX/8x3/s225ubvydv/N3vOfv/t2/6/z83Ntvv233AVYrbetk2zRdUSvDwLY5ORwYR/cqxYPUyjjStjQN2+ZkmjgcWFcPUiuleK6mYZroe9bVLetKKR6kaWga2tbJONL3tC1nZ7QtbcvxyPU1FxcMA9PEslCKk2limug6moamcadxpOsYBtaVdfUgtdL3LAulcHHBMLAsbBvL4qlx5OyMw4Fx5PqaeebqimHwYF3HPDPPtC3TxDB4X9TKOLKubJuTZWFZWFcOB9bV961W5pm2pVamiWmiFH+pFLaNWjkcqNVu94Pq3CPxF3/xFz7+8Y/7Tj/+4z/urbfe8t3+4i/+wsc//nHf6cd//Me99dZb3nN+fm4YBv/23/5bb7zxhn/9r/+1X//1X/eP//E/dpeIEBEiwuc//3m7R2YcaVu6jmHwbaVQK6UwDCwL68rhwLr6vswzbetkWRgGTzUN00TbMs/uVasXahqmib5nXZ3USimU4oVqZZ5pW66uPFUrFxcMA9vGtrFtLAvTRNfRNDQN19c0DU3DOHqQWplnLi6cTBN970GOR0qhaeg6jkdPlUIpDAPDwLKwbSyLk1qdlMLhwNkZZ2ecnXF2xuHA4cDhwOFA29K2tK2TvmdZKMW9SqFWL1QrfU8pLItbSmFZmCb6nsOBdfVctVKKO80zbcs4Mk1ME03jpFZK8VemiWnicGCe7R6Xz3/+8yJCRIgIH1TnHol33nnH+fm573R+fu7dd9/13d555x3n5+e+0/n5uXfffde3/emf/qlXXnnF3//7f9+HP/xh//2//3f/+3//b3fJTJkpMz158sTukaiVcWSeWRaGwXer1VOlsCxME31P21KrZ5RCrZ6rVtqWcWSaGAZK8YymYds4HhlHL/T1r1OKF2oapom+Z12plVI8o1bmmb7n7Iy25fqay0uWhVJYV6aJrqNpKMULrSuXl0wTV1fU6l610jQ0jZOmoRTm2QvVyjwzTU6GgXn2QqVQCsNAKTSNk5sbbm64ueHmhm1jWVgWloVpYhgYBoaBUiiFtmVdfV9qZRxpW6aJYXCnpmHb6DralralVg8yz7Qt48g0sW00jVuur2katzUN28bxSN/bPR5PnjyRmTJTZvqgOvdI/NiP/Zh33nnHd3r33Xf96I/+qO/2Yz/2Y9555x3f6d133/WjP/qj3vOHf/iH/ut//a/+43/8jz75yU/64he/6D2/+7u/a/cBUitt62TbKMV3axpq9YymYdtoGg4HxtG9amUcaVuahm2jabxQKSwL60rbeqFS3KtpmCb6nnGkaaiVeabvOTujbbm+5uKCZWHbmCa6jutrmoarK/reg9RKrTSNk2mi791rHLm8dMs00ffU6rlqpe8ZBrc0DfPsXrWyriwLpTDPbimFUiiFUmgamoamoRQn20bX0baMo+9JrYwj68q2UYoHGQZubmgaDgfG0Z1qpW0ZRy4v2TaaxnPV6vlKYVkohcPBbveD5Nwj8VM/9VP+7M/+zHf61re+5ed//ud9t5/6qZ/yZ3/2Z77Tt771LT//8z/vPd/61re89tprfuRHfsS3vfrqq77xjW/YfUDUSt/TdQyDu5TC9bU7DQPb5uRwYBw91zzTtk6WhWHwUpaFpuFwoFbPqJVXX/UgpdA0rCtXV7Qt19dcXLAsbBvTRNfRNG5ZVy4vGQbWlXV1r3WlFE91nZN1dadaqZWuc0spXF0xjp7reKQUus4tl5dcX7tX39N1TqaJvvdg60opToaBmxsnZ2eMo+cqhVrdUit9Tyksi+/JMLBtTs7OGEdP1Urb0rZcXrJtdJ0XqpWLC3cbBoaBw4F1tdv9IDj3SPzCL/yC91xfX3vP1772NX/yJ3/il3/5l73nv/23/+Z//s//6T2/8Au/4D3X19fe87Wvfc2f/Mmf+FFu9UwAACAASURBVOVf/mXv+Uf/6B/56le/6n/8j//hPf/rf/0vf/qnf+oXf/EX7T4AxpG2ZZoYBi/y6qvuVQrDwLKwrhwOrCulsK60LePINDEMlOJ7MgxME23LurqlVkrxQrUyjhwOrKunto1poutoGneqlVppGifDwDi61/HIMLhlGOh7dzoeaRrPNQysK+vqllqZZ4bBM7qOeaZWd1pXamUYnJRC19H3HuR4ZBjcMgxsG7VyODDP7lQr40jbMk0Mg+9LKQwD2+akbamVtqVp2Da6zoPU6n5dx7LQtsyz3e5v27lH4vz83Oc+9zmf+cxnXF5e+s3f/E2/8zu/4yMf+Yj3/If/8B989atf9Z7z83Of+9znfOYzn3F5eek3f/M3/c7v/I6PfOQj3vMP/+E/9JnPfMa//Jf/0uXlpV/7tV/zT/7JP/HP//k/t3vEamUcmWeWhVLcpxTW1YOUwrIwTfQ9tdL3NA3bRtP4vjUNy0LfM47uVSvjSNvStk6WhW2jFKaJw8GDrCuleKrrnMyzO9VKrTSNW5qGUhhHz7WuXF660zAwjp6qlb5nGCjFc3Ud6+pO48gwuGWamGfW1QvVyrp6rlKYJpaFceRwoFYnpVArtTKOrCvbRineN6U4qdVJKQyDB6uVWmka9yuFbeN4pO/tdn+bzj0iv/RLv+SrX/2qL3zhC958802f+MQnfNs0Tf7Fv/gXvu2XfumXfPWrX/WFL3zBm2++6ROf+ITv9Ou//uvefPNNX/jCF/yX//JffPrTn7Z7xGplHJ1sG6V4iKahVi+lFE/V6n1XCsvCutL3Tmr1VK3MM21L21Irw8C2MQw0jZNa6TqGgbZ1r+ORYXDLNNH37lQrpXiuaeLqilrdsq7UStO4U9c5mWcn6+qk69zp4oLj0XOtK7XSdZ4xTYyjF6qVUmgadyqFbaPrOBwYRydf/zp9Tyksi/dVrfQ988w00TQ0DYcD6+rBSvFwpbAsTtrWbve35dwj9Morrzg/P/cQr7zyivPzc89zfn7ulVde8SM/8iN2j1itatub18IweFmlUKt71co40rZME13H1RXrSttSq/dNKSyLk7alVmql72lbjkcuL9k2pommcUutlOKk62ga2tadamVdKcUtpXB1Rd97rnGkaTxXKVxdMY5uOR7pOvcaBvqeWhlHpskLdR21UqtbamUcmSbP1XVO1tWdrq9pGg8yDGwbtTLPXF0xTQyD99U40raUwrY5KYVhYFkYR/revWqlFC+tDpPZJYcD62q3+5t2brd7zGql7x1r41gGhwPjSK0erBTW1QutK23rZNtoGievvsqy0DQcDoyjFyqFWj3YMHhqHCmFZWFZ6DoPNgyU8v+zB/+u+m15YYCfc2KQiIUYsQnJd20QrpAiEGMGG9+1i4Qpki7gCIF379KAf0Assr4rnTiFYsA0Ye23ShE7gzBBstdrZgTtBJurgf25WKSbmX/gzgl3yxzmzPn1nnvvjHOT93kYR0+KIGdS8kgp9E7vHumdw8GzSqF3ereLoHcOB6/KmWliGCiFlLwqZ2r1QO92OXtWKcyzZ/XO8egiEZxORJASOTOO1OpzEUGtLAvrSil2H33kXkqsKykxDPTuWeczKblIBMvCODKOnExmjXmmd1dXP0y3rq6+qCIYR0oRU3E8sq52w8AwsCxelZJnRVAr80xrlOLe4cD5bFcK20bvjCMRPpMIamUc7VKyK4WUvCqClDzQmt08e+R8JmfPKoVaPdA7KZGzF7XGPNv1Tkrk7EkRLAvzzM0Ny0JKzDO1sixeVArL4l4EpxOleFHOpEStHokggpy9KoJ5ZllojVJIiXW1u7mhVp9a78yz3baRkgdS8kAptMY4UqtnpeRFEdTKOFIrxyPbZpemTGuMI727uvphuXV19UW0LIwj60rODgfOZ1KiFLaNaaJWhoFaPSslzmeP9M48220bOXtRSqwrOTMM1OrNIlgWxpEIWqM1u9YYBp/JuhJBrR7oncPBs6bJblncO5+ZJq/KmZRYFk4nSnEvgmVhnrm5YRw5nzkcWFe2zW7b7GplGKiVCI+kRM4si13vpETOXtUa798T4YEIUvKiCGplHMmZbSMluwhSohS2ze7mhlqJcJEIamWeaY1SXCxnto3eGUeP9M7h4Em9M8+MIxG0xrYxTXYRHA7ImW1jnund1dUPw62rqy+aWqmVdSUl3xXhXkqUwraxrnY3N9RKhAfevfNABLUyz5RCKZ6UEhEeKYVto3fGkQivimBZGEdqpTVaI2ciSImcaY1h8KoIUvKkdaV3lsUugghy9qJSmGf3eudwcJHWmGd6J4J55uaGceR85nBgXdk2WmOayNkugpQohW1jXe3GkWGgViLcOx45n4mgVkpxkZR4/55aPXA+k7MnRVAr42i3bZTiXs5EuJcSpbBtdsNArUR4VgTjaLdtpORJEbx750kpsa7kzDDQu2dFUCvjyDyTEttGa+TsXoRdzv5GSqwrtbIsrq5+0G5dXX2R1MqysG2k5Lumid6J8EhKlMK22Q0Dw0CtdinRu92yMM9220bOnpUzvXtSSqwrOTMM1OpJESwL40ittMa2kbMn5UxrjKMXffQRKXnWunI60TunEzl7Vc5ME/NMBBHk7FkRLAvzzDy7dz5zOLCubButMU3k7JGUPJISpbBtrKvdMDAM1Mo0sSzMMzmTkouVQu/07l7vHA4eWRbGkQjWlVI8khIRHkmJUtg2u2FgHImwS4neqZVxpDVK8ZmVwrpSK/Ns1zs5E0GtjCMRlMK2UYonnU7k7KGUWFdOJ+bZ1dUP0q2rqy+KWolg2zwlJXr3rJQohbs7SiGCYeB8JoJaqZXWKMXnohS2jd4ZRyLsIlgWxpFaaY1tI2ePRJCSezlzPDKOPpPWmGeWhePRRVqjd2olJfciWBbmmXHk5oZx5HSyOx7JmZzpnZzJ2WeWEqVwd0drRHBzQ0r0zvHozUqhVrsIIsjZvQjGkVppjdZIybNSIsKTUqIU7u7ImWFgGIhgnu22jZy9KoKUvCol1pWUGAa7cWQc7daV1sjZi3rnePS0dSWCeXZ19YNy6+rqi6BWImjNc3LmfHaRaaI11pUIu2Vh20jJxVIiwotSYl3JmXG0G0dqpTW2jZw966OPSMkD08TxyDh6UgTv3nlVzkQwjtzcMAwMA8PAODKOzDPzTK3USkosi904cnPDOHI+2x2PbBvbxrrSGtNkVwqtMY707nOVM63RGhGkxDhyc8MwMM/USu9eNE12vRNBSnYR1Mo4kjPbRs4+N6Wwbe5F+IGJsIuwS4ltoxRS8qoIeidnz1tXIphnV1c/CLeurn7U1UoErXnJ4eDNeqd3UiIlhoFaXSwlIlzkeCRn97aNnH1q08TxyDh6JIKUPCmCWhlHUiIlto27O9aVdaU1SuF45HAgJY+kRCnc3bFttEZrTBMpeSCC3smZnFlXxpHefW4iqJVa2TYi2Da2jXUlJbtaublhGBhHaqV3D5TCPFMrKVEr42i3bZTiYjnTu1ctC/PMNJESrRHBMFArET6TCJaFcWQc7aaJaWJZ6N3FIkjJ69aVCObZ1dXn7dbV1Y+yWomgNa+ZJpbFxWqlVtaVnDkeWVd6Zxjo3atSIsKramUcSYmUyJlhoHeviuDdO0+aJo5HxtFFIhhHloV1pRRypne7lEiJnMmZaWKaKIVSOB7tWmNZvElK7qXEtlErtfrMIhhHu20jJaaJ3kmJlCiFUlhX7u5YV45Hu1q5uWEYGAbOZyLonWUhgnWlFJ+7CMaRWimFUsjZrjXW1W4YGEeWxZMiSMkjEdTKMFArxyPbRilEcDyybdRK7y5yPjNNLrOuRDDPrq4+T7eurn5U1UoErblUSvTuRRHUSu9sGymREuczKbGutMY8M45EeFZKfPSRZ0VQK8vCulKKXSmsK/NMrV4UQUqeNU3kzDi6F0FK7kUwz4wjpbBtpGSXEuezi5xOpMQ00Rq1ukgEKXkgJdaV3hlHn1qtjCPTRCnuHQ6cz56VEtNEKawrd3esK63ZpeReBKcTvXuzw4Hz2SMR1Mo4kjPbRs7uffSRXUqUwraRM7UyDNTqWREsC+PIONqtK9vGNNlFEEHOpERr1MqyeFXvHA4ut65EMM+urj4vt66ufhTVSgSteYucifCsCObZbl3de/fOAzmzbeTMMFCrJ717R4Qn1co42m0bKdmlRAQpsW12w0DvPrVSSIlxtIsgJSKolXEkJbaNafLAu3cuEsGyUIrdNNnV6lXnMzl70rqSEuPoSSkR4ZEIamVZWFdK8cA0sSzeJCVy5ngkJaaJlDge7Wrl5oZhoFZ696nUyjzbbRuleOBwIMIDKVEK28a6EsEwUCsRRNjVyjBQK8cj20Yp5OyB3knJvZRYV04navWsCCLI2dusKxHMs6urz8Otq6sfNbXqS6ipeavDgfPZkyKYZ3KmFA/kTO8eKYVtsxsGavWqCGplWVhXSvFASkS4VwqtMY7U6pEIUvKq1kiJcbSrlXm2W1dK8aRpYlm8KIJ5phRScq813r+ndy/qnXfvPKs1jkeGgd69KoJxtNs2UvKklOjdm9VKzrRGSnz0EaWwrmwbrdnVys0Nw0Ct1EqEB1Iiwi6CcWRZaI1SfCop0RrrajcMduNot65sG9PkWacTpXhkXemdefakCFLyJhFEUPOqL8E8u7r6rG5dXf0oqVVfwqzpnZsbhoFaXWSaWBaPRDCOHI+U4pGUiPCklCiFdaV3hoHe7VKid/eWhXm22zZScpGc2TZ6ZxyJcC/CRSI4HIiwWxZKoRRS8qKUiPCs04mUmCYPpMS6UqtXpeRF00RrzDO9e1atjCPTRCleNE2cTt5kWeidUuzWlffv6d0uJXKmFNaVuzvW1a53hoFhYByp1a53amUcyZltIyXPSonevSolSmGayJmUKIWcvSiC3snZk9aVCMbRI7WSs1dFsCzMM8PAOBLBaBU9qNXV1Wdx6+rqR8WysCzy1kTQGtvGNNnd3DAM1EqEZ6VEhHu1Mo6sK9PkWSkR4Vkpsa60xjwzz+RMBBHUSq20RineLCXWleORYWBZ3EvJAxH0zrIwzwwD48jpZJeSN0mJ3j0pgmWhFE/K2a5WT4qgd3L2qpxZV8aRZfFABLWyLKwrpXjVu3csi4tFcDrRmgfWlXn2rJQohXXl7o51JWe7ebaLYNsoxatyJsJFarVbV7tavSqClLxoXUmJcfTI4eBJESwL88wwUCspsa5sG8cjOZO2ld7p3dXVp3Xr6upHwbJQK+vqE9NE76REKZTC3R2t2Q0Dw0Ct9O6BnOmdCGplWVhXUvKilOjdq3Jm20iJmxu7ebbbNlLyopT46CPPmia2jdOJcbTrnWVhnhlHxpF55nzmcKA1to11JSVaY12ZZ2r1qpT46COPRDDPlEJKnrWuvH9P756UkoulxLZxOlGrXQTjaLdtpOQi00RKRLjIPJMzOXsgZ1Jinl0kJUqhFEphmuidWl0sJSK8aFlYFlqzW1d6p3cvOp+ZJq9qjZwZR7sIIsjZvQiWhXFkHDmdOBy4u2PbKIWc7WrlePQ3WqNWend19Wncurr62xZBrawrKfnE4cD57JGcKYW7O9bVbp4ZBmplWTgcOJ04ney2jZS8KiUXi+DdO1JyrxQXefeOCC9KiXV1b545nzkcKIVtY9tojWkiZ7sIIsiZlNg2u2Ggd886HIjwSO920+RV68o8eySClLxJSqwrvRPBPDNNlOLNcqZ3r1oWIijFk9aV3undxSKolVJYV3pnHH0uIqiVdfVAa4wjvXtW7xwOLlIKxyPjSO+kRAS1Mo6MI+czxyPbxroyTR6JIIJp8jdSojXGkd5dXb3Vraurv00RjCOtkZLvmiaWhQjPSolS2DbW1e50Yp7pnWWhFBc7HDifvSiCZWEcqZXW7I5HhoHefW5qJYKcKYXWmCZy9qwIUvJAKbTGOFKrJ6VE7x6IoFZac5GcSYlaPXA+k7M36Z15JsIuwqd2OHA+e1EEtdKaF7XGPLtYreRMSqTEupIzw0DvXpQzvXtSBPNMa6TkgZRYV+bZkyKIIGcXmyZyZp6JYByJoBS2jdaYJi/qnZw9lBLbxjjSu6urt7h1dfW3JYJ5pjVy9v2mid5dJCVKoTVydu/mhmGgVp9JBLUyjpzPtMa2kRIpMU2sK+NIrT6zWlkW1pVSqNVFauV49EjObBu9MwxEeCBnIjwwz0wTKbnYurIs9O5e7xwOXhVBrQwD80xKrCs505rdzQ21epNpYlmI8Kx5ZprI2YtyZpoYR6+KoHdK8UAptMY4sixe9NFHHolgnsmZnD0pZ6aJcfRI76TkIhEsC+PI+/ekRATbRmvk7GKnE8ejx1JiXZlnIlxdXerW1dXfhgjmmZzJ2VMOB04nF4tgnsmZ1siZuztas7u5YRiolQiP5MyyeCCCWhlHImiN1sjZIymxbfTOOHpWSkR4Vq30zraREjmTEsviRRFEME2elBLrSikMA7V6ICUi7JbFrhRv1hrz7CIRLAvjyDgSQWtsG6WQkl1KlMK22Q0DtbrYNNG7Jy0LEZTiIqXY9e5FtZIzKXkkZ7aN04l59qTDgQiPnE6kRCleVIpdrR44nTgePSuC3plnxpHzmeOR1kiJ1hhHb9I7EeTsaTnTGvPs6upSt66u/jbUSs6U4jnTRAQRXhVBreRMKUwTy2KXM6Vwd8e62g0Dw0CtRNil5F4EtTKORNAarZGzByJIyb2UWFdyZhjo3SMpEeGRCGolgnX1QCnU6kURpORV08S20Tvj6F7O9E4EtdKaTyVncmaeiaB3cvZABLUyDJxOHI9sG62Rs2elRCmsq90wUKtXHQ6czx6JoFZa8yalMI5EeFIEvdOaZ6XEupISw+AitdI7rbnIutI7vdtF0DspeSSCWhlH5pmU2DZaY5o4nSiFaeJ4ZBxd7HRimrwsZ3JmHF1dXeLW1dUPW612pXhNztTqRRGcTqREKe7lzLJ4ICVK4e6OdbUbBoaBWkmJeWYciWBdaY2cvUkptMY4siweifBABKeTXWseyZmUWBbPqpWcXSQl1pWcGQZ653DgfGaemSZS8qm1Ru/0Tkp2EdTKODKOdtvGujJN3iQlSmFd7YaBWj1rmlgWj8wz00TO3iRn3r9nnj2pVqbJRUqhFIaB3t1Lid7d651lYV29SWuMI70TQUrkbBfBsjCOjCMRtMa2UYp7EUSQs900kTPj6FUR9M7h4HWl2NXq6uo1t66ufpiWhWWhNZc4HlkWLzqdiKAUDxyPnM+elRKlcHfHuhJBBL2zrrRGSl4UQUqelDPbxunEPLuXkgcimGe7UjzreOR08qQIeudw8CalsK7MM7XSOxGU4jNrjVrt5plxJIJS2DZKISWfSUqUwrraDQO1elLOLIt7y2JXik+lFLvePRBB75TiYtPEujLP1GqXMxF2Ecwz6+rNUmJdmWfOZ6aJCOaZceR85nhk22iNnD3SOzl7oBRSYhy9qHdSImeXWVd6p3dXVy+59QXz13/91/7oj/7Ihx9+6DV//dd/7Y/+6I98+OGHnvLNb37T//yf/9Of/umfuvohiKBW1tWlciYlevekWomgNY9ME8tChFelREpMEykR4SIffURKnpUS62o3DER4IIJ5JmdK8aJpsuvdIxHkTM7eLCXW1S7CbhgYBoaBYWAYGAZubri54eaGmxtubri54eaGmxtubri54eaGcSSCCHpn22iNnH3uUqIU1pUIhoFaPXA8cj7bRVArrflMWmMciXBvnpkmb5YS60rvjKN7vTPPtEZKLhZBBL0TQUq8f8/794wjKbGutMY0edHpxPHokdbsxtGzTidK8TatMY707urqObe+QP7gD/7AV77yFV/72tf82q/9mt/5nd/xnD/4gz/wla98xde+9jW/9mu/5nd+53d8r/P57F/9q3/lD//wD331q1/1b//tv/Wd73zH1Q9IBPNMa6TkLUrhdPJIrSwLrXnWNNG7Vy0Ly0JrtMY40rvPTWuUwjjSOynRO/NMzpTiIscjtXqkVnL2JhEsC+PIOLqXEuvKurKurCvryrpyd8fdHXd33N1xd8fdHXd33N1xd8fdHXd3tEZKdikxDNTqByolWmNdiWAYqNUuZ5bFbp6ZJlLymaREa8yzXQQRlOJTSYl1JWeGwW6eyZmciSCC3lkWloVamWfGkXFkGLi5YRwZR+aZ08m9lNg2SiElr4oggpw9aV3t5tkjEUSQs7dJiXVlnl1dPefWF8THH3+slOJ0Ovmt3/otv//7v6+1JiJ8v48//lgpxel08lu/9Vt+//d/X2tNRPjExx9/7N//+3/vt3/7t331q1/13/7bf/Ptb3/b//gf/8PVD0AE82yJrMveappYFg/UyrKwbV50OHA6eVEEtdKaXUqsK/PsVRG8e+ci08S6Ms9EUCvHI6W42DTZ9e5eBL1zOLhIBLUyDNTK8ci2kRLrahdBSqRESqRESi4WQa2sKynRGutKBMNArX6gUqI11pXeGQZOJ1KiVrtSfC6mya5W5plSvCqCCHqnd5aFZaFW5pkI9yJ4/56bG8aRcaRWzmfOZ7vDgeORUlhX7u7YNraNbWNdSYn375kmxtHFTidy9qJ1JYJaPXA6kbM3iaB3lsgWE+Po6uopt74g/viP/9hP/dRP+bmf+zmf+Omf/mm//Mu/7Otf/7rv98d//Md+6qd+ys/93M/5xE//9E/75V/+ZV//+td94nw++wf/4B/45//8n/uu//7f/7svf/nLrn4ATidLT06pqJWbG4aBcaRWeveqnFkWu2VhWVhXr5omIujdkyKYZ6aJnN3LmWliHL0ogpS8yTTZ9U6t1EqEix2P1OpeBCmRs2dFsCyMI+Not65sG9NEBBHkTCnMs08tgnlmmkiJnKmVlGiNdSWCYaBWP1Apsa6sK70Twfv3pESt1Eqt1Eqt1Eqt1MqysCwsC8vCsrAsLAvLwrKwLCwLxyPv39M7H33EPDPPzDPjyDgyDNzccHPDODKO1EqtnM+cz3aHA4cD0+Rea9zdsW1sG+tKa7RGKUwT00TOpOSRCHqnFErheGQcvSqC3jkevWpd6Z1lsYugd45Hz4oggmVhnhlHxpF55nymKiJQq6ur73frC+Lb3/62n//5n/e9fvInf9Jf/uVf+n7f/va3/fzP/7zv9ZM/+ZP+8i//0ie+9a1v+Yf/8B/6D//hP/gn/+Sf+Kf/9J/6L//lv3jJBx984IMPPvDBBx/43d/9XVcXimBZpLXpnXXl7o515Xi0q5WbG4aBcaRWlsUDxyPnM8tCrawrKblIzpxOnnQ6kRKleKQUu3H0uYhgHIkgJVqjNbthYBiold69aJqIoHe704lp8qQIamUYOJ04Htk2SiFn904ncrbLmWlinn0qpxMpUYrd4cCyuJcSrbGudsNArT53ESwL88w807t7y+JV5zPnM+cz5zPnM+cz5zPnM+cz5zPnM+ezexGkxOHA4UAplMK6cnfH3R3bxraxrqwrrdEapTBNTBOHAzmzbcwzvfvUTidydm+aOB4ZBi+KIIKcXWRdOZ3onQgiyNm9CJaFeWYcGQbGkfOZw4FS2Da2jVLs0rayLPTu6jK/+7u/64MPPvDBBx/44IMP/L/q1hfExx9/7Pb21ve6vb31ne98x/f7+OOP3d7e+l63t7e+853v+MT//t//29e+9jX/+B//Y3/+53/uv/7X/+o//+f/7Otf/7rnfPjhhz788EMffvihX//1X3d1gQjmmdbkTM4si11KTBOlsK7c3bGuHI92pxM3NwwD48hHH7Es1Mq6kpKLtcayeKR3loXWPGtd7ZbFkyJIyYsiqJVxZJpojZztcqYU7u5YV7taublhHKmVCI+UQq12y8Lh4F4Ey8I4Mo5228a6Mk0eiWBZOB7dK4UIevcmESwLrbk3TaREhAdSohTW1W4YqNWnEkEEy8I8c3PDOHI+czhQCu/fkxIpkTO9UwqlUAqlUAqlUAqt0Rqt0Rqt0Rqt0Rqt0RqtUQopsa70TilME9NEzuRMSt6kVnImJbaNcaR3bxbBsnA8emCaaI1h8KzTiWnyJq1RK/NMSswz48jNDePI+czhQCnc3bFttMY0kbN780wp/kZrzLOry/z6r/+6Dz/80IcffujDDz/0/6pbXxA//uM/7uOPP/a9vvOd7/ixH/sx3+/Hf/zHffzxx77Xd77zHT/2Yz/mE//oH/0j79698yu/8is+8cEHH/gX/+Jf+MM//ENXn6NayZmcfaIUavWslJgmSmFdubtjXSmFCLsIxpFa6d3FcmZZ3IugVlrzqtaold49EkFKnhXBOBLBulKKZ6VEKawr20bOdsPAMFArvdtNExHUSkrkTAS1MgycThyPbBulkJJnRdjl7IFSmGcXi2Ceac0jOVOrJ6VEKayr3c0NtbqXEhEeiKB3loVxZBgYR85nDgfWlW2jNaaJlFgW1pUI1pWcGQafi1rJmZxpjXH0mUTQO4eDXUqsK/NM796kd1IiZ4/kTGsMA717IIJl4XBwkQiWhVqJIIIIu1K4u2PbaI1pImfPiiCCafI3cmaaGEdXV9916wviZ3/2Z/3FX/yF7/Wtb33LL/zCL/h+P/uzP+sv/uIvfK9vfetbfuEXfsEn/v7f//u+3+3trdvbW1efk2UhglJ8V86kxLK4WEqkRATTZLeudrUyDIwjtRLhWccj57N780zO5OxVKdEa40jv7kWQkidFUCvjyDTRGil54KOPPCslSqEU7u5YV7taGQbGkZR4/56UGEfG0W7bWFemyUVqpRSP5Mw0Mc8uUis5k7NHDgeWxYtSohS2ze7mhlrtPvqI3qmVcWQYmGfOZ45H7u7YNlpjmsjZvQjmmdZIyS6CUiiFYaB3n1oEvdOaXc4cj4yjTy2CnMnZvZxpjXmmdxeJ4HSiFM/KmdaYZ3p3L4KcydmTIoigVsaRceR0IiVyJme7UsjZm8wzpXioFLtaXV194tYXvSrjqAAAIABJREFUxC/+4i/6xPl89om/+qu/8id/8id+6Zd+ySf+/M//3P/5P//HJ37xF3/RJ87ns0/81V/9lT/5kz/xS7/0Sz4xjqNvfvOb1nX1iW9+85v+1//6X/71v/7Xrj4HEdRKa77f8cjp5E1OJ1KiNXKmd0phXVlXcrYbBoaBWundA9PEshDBstiV4mI5s67Ms1dFMI5220YpHknJm6REKawr60rO7vXO8ci2UQopuVgEEUyTJ5VCBL170bLQO6V40jSREhFelRKlsG1EsCwsC/NMBKVwd8e20RrT5EWnEymRs11K7k0TrTGOLItP5XQiZw9MEzkzjj6VWsnZIznTGvNM714VYZezF+VMa8wzvdvVyvHogQiWhXlmGBhHIiiFbWNdOR7pnVJojXn2JhFEME0ea4337+nd1dWtL4jb21tf/epX/cZv/Ibj8ehXf/VX/eZv/qaf+Zmf8Ynf/u3f9o1vfMMnbm9vffWrX/Ubv/EbjsejX/3VX/Wbv/mbfuZnfsYn/u7f/bv+03/6T/7jf/yPvvKVr/iX//Jf+pVf+RVf+tKXXH1GEYwjrZGS7zdNdr27yLKwLLRmdzxyOrmXEqVQCnd3rKtdrdzcMAzUSgTTxOlErbTmzXJmmhhHuwgPRFAr48g0UYoXRfhUUuJ4JIKUyJla6d2b9U5KXlQK8+xZEdTKunpRzvTuzXImJbaN1sjZxXpnWWjNvZzp3b2c2TZOJ+bZm0SwLByPHimFlBhHbxJB7xwOnpQzrTHPRHhRrZTiIjnTGuPIshBBziwL88w4Mo6czxwO3N2xbbRGzu71TkrkTM524+hi80wpnpYS68o8u7q69QXypS99yTe+8Q2/93u/58/+7M98+ctf9l2tNf/m3/wb3/WlL33JN77xDb/3e7/nz/7sz3z5y1/2vf7ZP/tn1nXVWvOnf/qn/t2/+3euPgenEzmTs+ccj9TqVRHUyrq6N01E0LsnpUQprCvbRil2w8Cy8P49OdM7vRPhTUqxq9UuJbsIxtFu2yjFi96986nVyjiyruTM8UhrzDPz7E1OJ0rxopyZJubZIxHMM6WQkhcdDpxOLhLBPJMS60oEvXuTCGqlNa9KiXW1G0cX652UyNmTWiMlxtHFIsiZnD0rZ1pjHD2rdyLI2cVyZl2ZZyIYR04nUqIUto3WmCZPiuB0ohT31tWud6+KIIJp8rycyZl5dvX/t1tfQD/xEz/h9vbWJX7iJ37C7e2t5/y9v/f3/J2/83dcfQ4iWBZa85JpIoLePSuCeaY1UvJAKZxOXpUS00QpbBs520VwPlMr48jNDcPAMDCOzDO1Uiu907sH1pXeOZ3samUcmSZK8QNVK8vCupIShwPnMzmzbaTEMFCrV0UQQc5eVQoR9O6B04mUmCavmiYiiPCiCOaZnCnFrhRq9Sa1khI5e+Bw4Hz2pNbImWGgdy+K4HSiFC9qzW6eXaRWjkevypnWGAZPqpVSvCqCZWGeGQbm2b3WWFdKIWevirDL2QOtMY707kXzTCle1xq907ur/3/durr6PEQwz7TmEqVwOnnWPJMzOXtkmuid3l3sdCJnWiMlWmNd2Tbu7lhX1pVSSMkuglqZZ25uuLlhGBhHu2Whd7ttoxQXS4kIF4ugVnpn20jJk0phXemdcSTCs04ncnaxUphn93pnWWjNxXKmd8+KYJ7JmVLcmyYi6N1FloXeac2blUJrjCO9e1aEXc5eta5EUKsXRRDBNLlIzrTGMHggggimyZMiWBbmmWGgVlKiNdaVlFhX5tmb1EopHkmJdWWePSuCCKbJZVpjnl39/+vW1dXn4XQiJXJ2iWmid3r3SK2kRCmeVQqnk4vUSgSlME0sCxEeSImUyJlSKIXWWFe2jbs7to11pRQi/NBEUKvdunogZ3r3QEr8X/bg31W/LS8M8PN+EWwsRCa2d70guRJIJSI2nrVJCv+AFAqBd+/SgElhZ5F1VmkUiVjIVGu9jZWdlSDs9YozkOkGTHE1sD8XEQshSiBVuHPC3cGTe+b8es+dmeLeOc+zruTM8UitHomgd04nV8uZeWZZiKBWWvMmNzdcLp4UwbJQCqV4pBTOZ6+K4HymNU9KiQgvyplto1Zq9aRaKcXV1pUx6N2zIkjJm+RMa0yTe7WSswciqJVpYpq4XLi54e6ObaMUcqZW5pmcaY1pcpUxiCBnT8qZeWaaPGlZKMX1ciYlavXux9MH7979oCLonda8RSmczx4Yg95pzYvmmd6J8KJa6Z3W3JtnzmdvlpLd5WKXM63ZHY+M4WopEeFVEUwTKVGKR1IiwpNKYdsYg+ORMdyLsMvZm5RCBMtCzuTsTeaZ3onwwBhME62RsyfNM2MwhhctCzmTsyflzBhelRLryhhMkwfGIIKcvcm6cj7TuyfVyunkzXLmdGKaiGAMSmEMloVpYpqIoBS2jdaYZw9E0Ds3N3Y5kzPT5FW1UooXlWJXqwciiGCevc260jtjePfj54N3734QESwLrXmreaZ3IuwiqJXWXGWeqdWzeqd31tUDpxO3t94sgmmy2za7lCiFdWVZmCY/NBEsC/NMKZ6VEhGelBLrSilME7Xa1UopHokggjHonVpZFqaJaeJwYAzGoHemiVrp3dXmmTHc651lYV1JyYtK4Xz2rN6JoBSvinCVdSVnjkf3aqUUX0prnM+M4YEIIphnX8o8kzPHIxEcjywLKVEK20Zr5OxZY5AzObtXit00eVYEEcyzV60rYzCGe8tCKb6c1lgW7378fPDu3Q/ifDYiGbIIb3Z7S61EsCzkTM6u0hq9e1IEtbKupOSBnMmZ3l1tDKaJeaYUj6TEtpEzxyO1elFKRHjWGEwTpVCKF6XEGF40z2yb3fHIGHbLwjQxTRwOTBPTRK1cLkRwc0MplMK2kRIpMc+UYnc+czhwPDJN1EqtjOGRmxsuF7taqZV1JSWvmmd6J8IjEdTKunpVSt6kFFrjeKR3IphnX0pKtEatjOFeBCm5WgS9syxME4cDvbvXGttGKeTsKuczpXhkXe1q9aRamWdXa41pYgwiiGCeXSWCCMagd3pkIxK9e/fj5YN3776sCHHbVUWtTBOHA4cDxyPTxDSxLNRKrfTOGETYlULv1EpKlOJN5pnePRDBNNEaKXnS6cT57FUR1MqysK6U4t4YpOSBUlhXxmCaiPBmtbIsrCs5e1VKrpISpxM5210u3NxwOlEK28a2sW2sK63RGvNMzuTMGORMKYxBzpTCunJ3x7pSit0YTBPHI8cjtVIrKdE7y0LvbBspudrtLbV6IIJlYZ5JyatyZgxvkjOtsSxEsCzUSq2MwRiulhKtMU2MYVcrp5MnRTAGvbMsHA5ME+ez3enE3R3bRs60Rq3U6moRRJCzJ60rYzCGByIYg1JcLSXWlWVhWSjFLoIx6J3eqZVlYZqYJg4HjkemiWXhcuFyYUkry8IY3v34+ODduy9rWbgtRiStsW3c3bFtrCulcDqRkl0E5zO1Mk0cDhwOdr2TErUyhqudTiyLexEsC62Rs2fNMxGM4VkR1Gq3baTkXoRdSh5JiXUlZ45HanW1WumddSUlV0mJy8WrIjifSYl5tptn5pmcScmLIqiVUphnIhjDAymRM6Wwrtzdsa60ZhfBNNn1zjxTqzcphd6JcO98tivFj0ytLAs5kzM3N+7VSq0cDhwOHI9ME8tCrdTKGIzhXkpsG9NE70Qwz0QQQe8sC9PENLEsXC7c3LCubBvrSmvMs3sR5My22R2PjOFV5zM5e1FrTBNjuHc+k7OrRTAGEXZjUCuHA9PEsnA+c7nY3dxwOlEK28bdHdvGttEaNzf+n9ao1bsfHx+8e/dljEGEVGatsSzupURK5Mw8Uwql0Brryrqybdzdsa7kbDeGXa0cDhyPTBO10jtjeCRncqZ3IpgmciZnryqF89mTIlgWUqIUT0rJi0ph2xiD45EID6REhF0EtRLBtpGSq330kaucz0RQCq3ROxGuVis5k5JdKZzPXpUSOVMKrXF7S0rkbDcGhwPHI9NErYzhRfNMrXYR9E5rrpYSl4urRDBN9M66sq6MwTxTCqWwrqwrd3dsG+tKKdzcuFcrtXI4cDhwPLIs5EytRDBNHI9ME5cLNzeUwraxbbTGPJOzq5RCa0wTtXpWBL1zOnlRSqwr08QYRNA7p5NHIoigd5aFaeJwYJqolcvFLiVK4e6ObWPbWFdaoxTmmXkmZ1LyQATnM61hnu3G8O7Hwwfv3r1VBLXSms/Ns90Y3ux8JiVasyuFdeXujnXldLI7n5kmDgeOR5aFWhmD04nzmWVhninFVeaZ3onwQK1ME61RiidFkJJXpcS6UgrHI7V6JIJa7VrzZikxhhfVSgStuXd7S62uEsEYtObePDMGY7harURQil0prCt3d6wrp5NdrRwOHI/USq2M4V5r9M4YLAulkJKrffSRV0VQK9NEzmwbKdnlTO+elBIpkTPzTCmUwrqyrtzdsW2sK6UQQYRdztzdsW20xjyTsx9IzmwbYzBNnhRBSuTsVTmzriwLY5ASKTEGvbMsTBPHI9PE5WJ3OrGubBvrys2N3bqyLER4s/OZlMjZ/1MKy+Ldj4cP3r17qzFIiZz9s1JYFm8yBmPQGvNsN4Z7KTHPlMK6cnfHtrGupGRXK8vCGIxBBLXSO2N41TxTq10EtdI760pKfmjmmW1jDI5HxrAbg2kiJUrxpeRMhGfVSgSteaAUxmAMr1oWSvHIPHM+u0qtRNAa88wYHkiJeaYU1pW7O9bVLoJp4nhkmqiVnFkWUmKevUlKRHhWBNNEBOtKKR44nbhcfGkp2V0udvPMPHN7yxh+IBGk5IGUWFdy5nhkDA/UyunkKhFEkDPLQgTTxLJwuXBzQync3bFttEZrzDM520VQK62REre3LIs3iaB3WvP/5UxK1Ord198H7969RQS1UoovypmUqNVVIqiV1twrhWXxopRIiVIohXWlNVKyS8nufGZZOBw4HpkmloVaGYMx7EqhdyKYJrttIyUvulxIyZukxLrSGtNkVyvzTCl+ICkR4ZFaiaA1TyqFWr1oDCKYZ4+UQu9EeFGtRNCaeykR4UUpUQqtcXfHulKKXQQRjEGtjOFqOTOGRyKolWlinmmNlDwyz/TuS4tgmuy2jZRIiW2jVnr3I1EK60qtLItdBBHMswciGIPeWRamicOBaeJ8Zgy7lNg2to3WmGdy9qLzmZzJ2a4UuzFcbVkoxWOtcXtLhHdfbx+8e/cWtTLPpOT7rSu3t4zhVeczKZGzezmTErW6WgS1sq7kbFcK68q2cXfHulIKKdnVyrJwODBNdtPEPFOKq6XkS0mJeSaCCHqnVmr1A4nwQK30TmueNc92Y3hSBLXSmmfNM7V6Vq30TmseyJkxvElK5MxHH7nXml2tHA4cj9TKGF4V4d4YTJPdtlGKF+VM794sgmVhninFAynRGucztfqRSIl1JSWOR2olJXpnWZgmjkemiWXhcuHmhlK4u2PbaM1u2+zGcLUIeqcUD7TGNBHhVb3bzbPHUuL2llq9+3r74N27a43BGJTiOa1RqxdF0DuleKQ1bm+J8KoIloV5JiVa4/aWCA+kRM6UQimsK9vG3R2t2UVwc+NqEXz0kTeLYFkYwy4lSrEbg8OB45FaGcPVcibCvVrpnW3zqlKo1ZPGsMvZs0qhd0+qld7ZNo+kxOXizWqlVtaVlEiJUlhXto3W7JaF45FpolYiPJCSXQS1siy0RimucjpxuXiTWpkmWqMUT0qJdWUMlsWbRJCSq5RCKfROBJeL3elEa2wb20ZrzDM5u1cr80xKtMY0EeEqy8I8k5IHUqI1lsWLIqiVUjyvFMZgDO++vj549+5atVKKl8yz3RietSyUQkoeSYnbW2r1qvOZlCjFLiVub6nV1SLImW1jmhjDVSJIyZvUyjSRM62REq1RK6Wwrtzdsa52tXI4cDxSK2N4Vkp8+qldrfTOtrlKzna9eyCCWinFi1JinundA7XSO9vmSR995M1qpXe2jZRIiTHcS4mcKYVtY13J2e545HikVmolZ2plWey2jZxdbZ7p3VUiqJUx2DZS8qp1tZsmPxIRnM/kTEq0RmvMMzl71hiMQSl2KdEay+JVYxBBKZ40z3a9e1at5EzOXlYKtXr39fXBu3fXGIMI5tlrSmFZPKl3IphnzyqFMRjDsyLonVI8UApjMIZXRVArpZAS28Y0MYYfqghqpXfWlVK4XEiJnEmJWt1LiVJYV7aN1uyWheORaaJWItz76CMi6J3e2TZvUgrL4oFayZmcvep0Ylncq5Xe2TbPmmd6d7Va6Z1tcy8lL0qJUiiFuzvW1W4Meqd3UqIUX0pK9O5FEUyT3bp6k9bImWnyQxXBNFEK60oEY3hVBLXSmgfm2a5Wz4qgVlrzotZYFiI8EsEYtOZ182w3hndfTx+8e3eNWmnNNXImZ2r1QATnM615VSnU6kkRTBOtkZJHSqFWrxqDnMnZLiW2jWliDC+KICWvimBZ7LaNlOwiyNluXbm9ZQyPpETOlMK2sa7kbHc8cjyyLFwu9E6trKs3y5mcqdUugjFozVVyJmd6p1Z6Z9u8KiUivKpWemfbPJASl4urpUQpnE52KZEShwPHI7US4WqlcLl4Vq1ME/NMKb6UUjidOB6J8AMbg2liXcnZrhTOZ68awy5nj6wrvTOGJ41BSuTsRSnRGsvigQiWhdZc73SiVu++nj549+41YxBBzq7VGre3jOFeraREzl41z3ZjeKRWciZnT5pnu949K4JaKcUDKbFtTBNjeFIEEaTkWRHUyjRRCqV4IIKbG/dao1avSolSKIW7O9aVlBjDLoJpYppYFmqld8Ygwota4/aWCJaFUlwlgghyplZ6Z9tcJWfG8KJa6Z1t88hHH3mzCGpl2+xOJ+7uWFe745HjkVqJ8KJ5pnePRFArvbOulOIHMs+0xjQxhmdFkJJn9c6ysK6k5N48MwZjeFYEtVKKZ7XGsngkglopxVXm2a5398awy9n15tluDO++fj549+4lEdRKa96qNWq1G4MxaM3VSmGaPNA7Y9CaF5XCsnhWreRMSh5JiXVlWRjDk1LyrAimyW7byNkDEUSQs3vzbFerN0mJUkiJnEmJdaUUUrK7XKiV45HDgeORaWJZqJXeGcNunpkmIsiZCMagd3pnWVgWpolp4nDgeGSauL0lwq5WV/v0U8+qlQi2zZNSIsLVIlgWSiElcmYMu5Qohbs71tXueOR4pFYiPCklxnAvgmWx2zZS8kORM60xTYzhzWqlVtaVlDxSCuezZ9VKzuTsWTkzz0yTB2plnknJ1VpjWYggglopxduVwrJ49/Xzwbt3LxnDLmdvNc92vVMrrXmTnJlnarWLoFZa86qcmWeWxSMRjEFrnpUzrbEsjOGBCFLypFqZJuaZUjwpwpNa4/aWCG/SOxGsKykRQc6UQim0xrpyd8fdHetKKaRkd7lQK8cjvRNBBNPENFErlwuXCylxc0MplMK2cXfHtrGupMS6MgbHI7V60c0NEZ5UKxG05lk5M4arnc+kxDzb3dxwPnskJUrh7o51tTseOR6plTHcK4Xz2S6CZSFnSvFDlzPbxrIwhqvVSu9sGyl50jzTOxEeGYMxaM2rSrGr1W4MxqAUb5ISrbEs1Mo8k7O3y5mU6N27r5cP3r17TgTns5GLMRiDMRiDMRiD3umd3umd3umd3umdlFgWIuzGIMLVWuP2lgiWhXkmZ1dpjd4ZwwO1Ms9elTOtsSyM4UUR1ErvrCuleNblQkoeSYnWWBZXi+B8pjW7UlgWL0qJnCmFUmiNdeXujtZIiZTYNraNdaU1WqMU5pmcyZmU3LtcSImUWFfWlTE4HqnVk3Kmdw9EUCsRtOaHpnd6pzX35pkIIjwrJUrh7o51tVsWjkdqJSV6p1amidYoxY9MSqwrtdK7V9XKGGybV93eUqsHIqiV1lytNW5v6Z1aac2LIohgDHqnd3rn008Zg96JYFlYFpaFZaFWaqVWaqVWaqVWaqVWaqUq1Ord18sH7949ZwxjUEdWK7VSK7VSK7VyPnO5cLlwuXC5cLlwuXC5EGEXQa3UyjRxOHA4cDxyPHI8Mk0sC8tCrdRK79zeMk12pXiT1qjVvQjGoBRXyZnWWBbGsLtcSMm9MVgWu20jJS8ag5w9aZ7teneVMexytsuZnKnVm0VQK60xz0yTN8vZvZRYV9aVMTgeqdUDKdlF2EVwPtu15iopEeFFEdTKunokZ8ZwlZQohW1jXe2Wxe72lnUlJV9KhKulxLpyPrMs7kWQkl0EtRLBurpKKfROhHtj2OXsainRGrUSweXCsrAsTBPTxPHI4cDhwDQxTdTK+czlwuVCBCnZ3dxwc8PNDTc33Ny42pCNSPTu3dfHB+/ePed8FnPxuXVlXVlX1pV1ZV1ZV1qjNVqjNVqjNVojZ+aZnCmFdWXbuLvj7o51ZV1pjVK4uSEl9y4XeieCMTgemSZqpXfG8KJ5thvDblkoxZvkTGssi3spEUGtLAutUYqr3dx4VmssCxFeFEGtlOKB1ri9ZQxvMgY5kzOl2NXqamNwc+ORlFhX1pUxOB7p3b2UGIMIzme7UlwtJcbwrAimidZIySM3N5zP3iwlSmGeSYmUOB6plQhv8tFHvpR1JYJp8kAE57Nda95knqnVLoJaKcWLIhiD3lkWDgeWhQj3bm64uaEUSmFdubvj7o5tY9tYV9aV1mjNbp6ZZ7t5Zp6ZZ+aZUiiFUiiFUiiFUiiFUjidiMB8olbvvj4++Ir527/9W3/+53/uk08+8Zq//du/9ed//uc++eQTL/nud7/rH/7hH7z7gjGIMLfsc7V6swh653SiNaaJCA+kRErkTM7MM6VQCqXQGjkzz6TEunI62Z3PTBOHA8cjy0KtjOGBUlgWxiCCefZmOdMaxyMRdtNkt22k5CoRRJCzZ6XE7S3L4kW1kjM5e6Q1anW1CGqlFPfWlTEYw1XGICXPSol1pTVq5Xikd3Lm0085n+1K8SYpeVGtzDM5e9I8E0GEN6uVCNaVCLbN7nhkmhjDj9y6khLTxKef2i2LXSnerDV6J4JayZmc3Ysggt5ZFqaJaWJZuFy4uWFdmWfmmQhubphn5pmcyZmUvKh3xqAUTieWxZtFsCzMM7nNpMQY3n09fPAV8qd/+qd+7dd+zZ/92Z/5jd/4DX/wB3/gOX/6p3/q137t1/zZn/2Z3/iN3/AHf/AHnvI//sf/8O///b/33e9+17svqJXWfG5dGYMxvMkY5EzOpMS6sizeJIIxaI2UOJ+ZZ0phXbm7Y9tYV1Kyq5XDgeORaeJyIYJpImfGYAzGoHd6p3d6p3d6p3d6p1ZqpVYuF1Kid25vmWdK8SYRpORVpdiN4UkRjEFrnjTPdr27Sq3kTEoeaI1pYgwviiAlUvKqnNk2WqNWeqd3u1K8WUpcLp7UO2NQihflTK3epFYiaI2USIkISuHujpxZFo5Hevcj1Ro5c3tL73Y3N4xBBBFEuNo8syyMQSn0zrIwTRyPTBOXCzc3lMK2sW20xjyTEmPQGq1RqzeJoFbW1S5ncqZ3b3I+kxKl+H9OJ2r17uvhg6+Izz77TCnF+Xz2u7/7u/7kT/5Ea01E+H6fffaZUorz+ex3f/d3/cmf/InWmojwRf/n//wfv/Vbv+Ub3/iGd18wBhHk7J+1xjQR4SoR1Mrp5F7OdrW62rJQil1r3N4S4YGUSIlSKIV15e6OdaUUD0RQK7VSK+czlwuXC5cLlwuXC5cLl4tHUrJLid6pld5d7XIhZ1cphWnypGWhFC9qjWUhwosiGIPWPJIS68qyeFEEKXmTlJhnuwh6p1Zv9tFHnhRBrayrV93c0Lur1UrvtOZezpzP7pXCttEatXI8Uqsfmgh6Z1mYJm5vPVArtTJNTBPTxOHA4cDhwOHA4cDxyPHI8cjxyDQxBmMQwTRxuZASpXB3x7bRGvNMzh5ZFkqxm2e7MVwlgmWhFFJyrxSWxdV6p3da8//NMxGM4d1X3wdfEX/xF3/hp3/6p/3cz/2cz/3Mz/yMX/mVX/GXf/mXvt9f/MVf+Omf/mk/93M/53M/8zM/41d+5Vf85V/+pS/6/d//ff/m3/wb//Jf/kvvvqBWSvFFKbGuLIurjEHO5OyBdaV3xvCqMYhgnu1S4vaWZXGVlMjZLiVSohTWlXVlXVlXWqM1WqM1WqM1WqMUSqEUTicimGdyZl3tzmeOR2plDC8ag5sbV8mZ21uWxQNjEME8e1FK3N5SqxctC6V4Vs7MM9PkWZcLObta70wTEbRGzqwrERyP1OpqKRHhgQiWhdZIyavmmZSI8Kpa6Z1t88DpRO8eyZltY12J4HikVm8SwRj0zrJwODBNnM+kRClsGylxe2u3rqwr28a2sW3c3XF3x90dd3dsG+vKurKurCulUAop2bVGa5RCzl7VOxHMs3ulME2ucj6TEvPsgZzJmd69KoJaWVePlcL57N1X3wdfEf/0T//k53/+533RT/3UT/nrv/5r3++f/umf/PzP/7wv+qmf+il//dd/7Z995zvf8d/+23/zH//jf/TuCyKIYJ59v5ztavWiCGrldPKk1lgWL4qgVlrzQCl2Y7hKrUSwbeTM5eJLiWBZyJnW6N2uFNaVdbVbFo5HamUMj0R4k1KIYAy7CGqlNVcphTEYw5PGIIJ59qJS7Gr1pDG4ufGqCKaJWmmN1kjJLiVaY13tDgdqJcKLcmYMD9RKzuTsajlTqxfVSu9sm0dyJiXG8KSUaI11tTscqJUIj0TQO8vCNDFNLAuXCzc3rCvbxrpSCjkzBilRil3vXpUSKZESKZESOdulxLoyTYzhKhHUSmseyJl5Zlm8qHd6pzVPKoVl8aIIloVSSMlj80zvRHj31fbBV8Rnn33mw4cPvujDhw++973v+X6fffaZDx8++KIPHz743ve+53P/63/9L//5P/9nv//7v+9aH3/8sY/xhMsCAAAgAElEQVQ//tjHH3/sD//wD31t1UrOnrOujMEYnjUGOZOzJ+XMPDNNnjWGXc4eKYVl8apaiaA1u5sbInwp5zMpUYpdzozhXkqUwraxrnbLwvFIrUQQYZezNymFZbEbwy5nV2uNZfGkWmnNVdaVMRjDIxGk5FkR1Mo0kTPbRs6elBKlsG12xyPHI727Su9EUIo3OZ3o3bN6p3e2zbNy5nz2opQohW2zOx5ZFiKYJg4HponLhZQohW1j22iNeSZnj5zPlGLXGrUyhi/lfCZncmbbWBbG8KoxyJmcPdIavTOGJ0VwPtOaZ+VMzvTuWeczKTHPnnd7S62+rv7wD//Qxx9/7OOPP/bxxx/7uvrgK+Inf/InffbZZ77oe9/7np/4iZ/w/X7yJ3/SZ5995ou+973v+Ymf+Amf+y//5b/4V//qX/n0009dLhf/83/+T//9v/93n3zyied88sknPvnkE5988onf/M3f9LUUwRiU4iWtMU1EeCSCWjmdvKgUu1o9EkGtlOJJOZMStXpWrUTQmnvzTO9EeJPe6Z3W3DuduFw8KSVKYdtYV7vjkWmyq5Va6Z3eGYMxiCDCIzmTM9NErZTiTXImJWr1QO92ObtaKUwTEe5F2KXkkQhqZZrsto1SXCUlSuHujnmmVo5HavVISkQQQa205s1yJiXG8Ejv1Mq6etHpRO+ukhKlsG2kxBicTqwr20ZrlELOXhVBBDnbpURrLIsvZQxubuxSYl2plVo9K4JaKcWzWqNWj0SwLORMzl5UCsviSb3TO615WSn07uvqN3/zN33yySc++eQTn3zyia+rD74ifvZnf9Zf/dVf+aJ//Md/9Au/8Au+38/+7M/6q7/6K1/0j//4j37hF37B5/7Fv/gX/vf//t/++I//2B//8R/7u7/7O5fLxbe//W0/1sYgJVLykpRYV5bFI2OQMzl7VWvc3jKGB2olZ3L2rNa4vSXCI7USQWseyZkxXC2CWllXD8wzvXtVSpTC3R0pEeHe5cLlQq3UyjRxPHI4cDhwPHI8cjwSwRh2lwtjeJN15faWMewiqJVSvEnOrCvL4l4EKXkgglqZJrt1pRRfWilsG+tKBMcjtbqXEuczy0JrpORLyZnz2QO9UyvrSkpelDMpMYarnc/MM/PMp5+Sszc7n8nZAznTGtPkTSJIiZzdS4l1ZQyWxZNqJWdS8qx5thvDA+ezXSlelTM507sHIqiVdXWdeaZ37766PviK+MVf/EWfu1wuPvc3f/M3vv3tb/vlX/5ln/vud7/r7//+733uF3/xF33ucrn43N/8zd/49re/7Zd/+Zd97j/9p//km9/8pm9+85u++c1v+tf/+l/7D//hP1iWxY+185lSXCNnu1rdi6BWTidXSYl1ZVnci2AMSvGilLi9ZVk8UCsRtOZJpxOXi6tEsCyUQkoeSYkxXCWCCOaZCEqhNVpjXVlXto27O+7uuLtjXVlXWuN0ci+CWjkcOB6ZJmqldyI8qzVqtRuDlMjZm+VMzkyT3eVCzu71zjQxButKKaTkhyIlWmNd7Q4HarW7vSVncvalnU707t4Y1Mq6kpKr5Mz57Cq1EkEptMbtLWN4szE4nTySs12trnY+k7MnrSsRTJMHxmAMWvOqUlgW9yLondZcrRSWxb0IloVSSMl1bm44n7376vrgK+LDhw9+7/d+z2//9m87nU5+/dd/3e/8zu/4xje+4XP/9b/+V9/61rd87sOHD37v937Pb//2bzudTn7913/d7/zO7/jGN77h3TPGIIKcXWtdGYMx7MYgJXJ2tZzJmWWxWxbmmZS8qhS7MexqJYLWPCsleneVWsmZefaknDmfXWVZKIXW6J0xvColUiJnzmdub+1KYV25u2NdOZ3szmeORw4HjkeWhVoZw26e7XqnVkrxpZViVytjcHNDBNNErbTGupKSV0V4s5QohW0jgjHsxmBZqJVa6Z0xiHCVnEmJMYhgWVhXUnK1mxt696re6Z3W3GuNWr3JGESQsyetK2MwhquMwenkWetKzkyTe7VSiqvkTM7USgTTRGuk5Go5kzO9253PpMQ8u948E8EY3n01ffAV8ku/9Eu+9a1v+aM/+iPf+c53/Oqv/qp/1lrz7/7dv/PPfumXfsm3vvUtf/RHf+Q73/mOX/3VX/Wcb37zm/7tv/23fqydz8yzt2qNaWIMaqUUb9YaEdRKBKW4WiksC7USQWtelDMpEeFFvTMGpXjWzQ29e1UEEcyzXWvU6mpjEEEp5Eyt7qXEPFMK68rdHdtGa6RkVyuHA8cjESyL3eVCrfRO7/RO74zBGIzB+L/swT+rdN1dOO5r7lIsgp1V1gYLX4OFs1bhewg2s3cj5FWss8AulaXV3lMKQZBUgcBaE1LbikHYnwfBWrCykPmR+eLBk/Nvzp3443l8znUNxiCCCCKIcLOubBtj0BqlkDP7Ts4+JCVfZQwiPDqdOB49Op9pjWnicGCamCZKYVlojdbYNsYggpxpjVLonZR8yDyTEhFeFUFr9O6JeXazbe7WGvPsTetKKYzhTRGMQc7eVCunE9NEa27m2d3WlYcHloV5JmcfViutsW1sG+vq42rlfPbpu+mL76A/+IM/8OXLF/f4gz/4A1++fPHpDRGMwenka6wry+Imgm1j29g2to3WaI3WaI1lYVlYFpaFUojg4cFNKZRCKZTCNDFNTBPTxDQxTUwTy0IE20at7pIzY3hVBK3RuzfNMykR4U3LQq0ezbObMbwrgtZYVzfryrZ5U0rkTK3USu9cr/ROrZ6I4HLhcuFy4XymNVqjNVpjWSiFUiiFUjgcmCYi3ESw79Tq/xcRLAutUaubhwcuF+aZWqmV3umd65Xrld7pnVo5Hj06n2mNaWLbGIOcifBVcqY1L4qgFNaVlDyzriwLEd4VQQSnkzelRO8sizdFkJK7zDM58/BABNPENDFNTBPTxDQxTUwT08ThwOHA4eBmDLaNaWKamCamiVIohVIohWVhWVgWloXWuFyIYFmYZ8bwcfPMtvn03fTFp09jkBIp+W0RjMG2sW0sC8tCKUwT00RrRBDB+czlwuXC5cLl4pnjkeOR45HjkdOJeSYlIqiVWqmVWllXeqd3eqd3eqd3eidncmaaaM27jkcuFy+KYFlYV1LyrpwZw6siiGCePVEry+JdY7jJ2aN5Ztt8WEqcz6yrm+ORdWVdWVfWld7pnd7pnd7Zd/adfWff2XeuV65XcnaTEtNEa/5XRdAapZAS++4mJWpl2xjDq1IiJXJmnqmVWumd3rleyZmUiGBZmCZaYwx3Ox7ZNs9EsCysKzl7UUo8PLAs3jUGKZGSd+XMPFOKV10uzLN3RVAKY5Az80zv9E7v9E7v9E7v9E7vXK9cr6wrKZES60rv9E7v9E6t1Eqt1MrxyPHI8cjx6CbCozFojcOBw4FpohSWhdZojTEYw3PzzLb59N3zxadP57MtVcvCslAK08ThQCksC+czlwspcTxSK71zvbKupETO5My6sq6sK+tKrdRKrdTKPDPPzDPzzDwzBrWyrrRGzuRMzuRMSqRESqRESqTkJoJ1Zd/dTBOtedU8s21etCzkTM7ucjxyuXhVa+TsmZxJiW3zqghaY109cTqxLD5sDCKYZ2qlNb+TMYhgnsmZ3olgmmjN710EpTAGvVOrm8uFeXazrpzPvtq2uamVlNh3enezLEwTrTGGN80zKRHhUQTLQs7k7E21uhnDm85nanW3Wt205kVjcDx6VQStUQo5s+/kTAQpkRIpkRIpkRIpkRIpuYmgNXonZ85nUiIlUiIlciZnciZn5pl5Zp6ZZ04nInh4ICXWld65Xrle6Z1aOR7dRNAay8LhwOHANFEKWxw5n3367vni0/dbhBjhHFlKHI/UyrpyvbLv7Du9s67UyjyTMym5OZ+ZZ3pnDLbNh0QQwTwzz+RMKe4SQUpuUqJWemcMpokxvCglxvBEa6REre42z2wbEZ6JYAzW1YvWlWXxqtbImZQ8kTM5s23uFsGysK5u5tnNGL5KBMvCunI8EkFKrCu9MwbTxLb5nUXQGqUwz/ROSh6NwfHoZp4ZgzF8WAStUSvzzLYRQUrUyr7Tu5tlYZpojTG8KGda8+h8JmdqdZdaWRaviiCCnH1I74zBGJ6IIIKcPRNBa5TiZt+p1c0Pf8i2uUsEpdA7KbGubJsPiWBZyJlayZnWPJESOTPP1Mq60jv7zvXKvtM7tdJiFiOI8Om75YtP32/nszRnv3E8Ms/kTM7uEsEYHI9ueud8Zgx3O5/J2aNa3SyLd10u5OyJlOiddWVZKIUIT+TM+ezRGGwb6+rD5pkxPNMaOXtVSswzy+KZMRiDdfWi04nz2d3GIGdy9qhWSvFVzmdyJmfmmW0jwk1K9M660hrTxBi+yhiU4mbfqdUTEUSQs0e10poPWxbmmZzdzDOteSIlamXf6d3NsjBNtMYYHh2PjOGmNSKo1d1yJmda86LzmZx9lXWlFMbwKIKUPLNtlEIEvVOrJ+bZTYQ3RbAsrCspeTTPbJu7nc/kTK1uTie2zYekREpcLuRMmjOt+fTd8sWn77cxOJ2sK6Uwhg8Zg5TI2aN1pRTG8K4Ito3TyRO9E0Fr3jQGx6MX5cy+kzPTRGseHY+M4SaC1lhXX+V45HLxRARjsK7etK5sGxEeRdAa6+pV80wEY3hXBK1RqydyZp5pzYdEsG3U6lHOjOGJnNl31pVlYZoYw10iaI1lYV2p1YsiSMkT8+xmDHfbNiKo1aPTiW3zqpSolX2ndzfLwjTRGjm7aY1tY1192Lry8MAYnhmD08lXSYneWRaPLhdy9iiCUmiNdWVdScmL5pkxvCqCZaFWcvbE6cSyuEtrRFCrRzmTM2P4kNbYNtYVpxPb5tN3yxefvr/GIIKcpcS+UwpjuNv5TK2eSIl9pxTG8KYxSImcPdM7YzCGF0UQQc7eVCv77maaaI15JoIxWBZyJmdfZZ7ZNk+0Rs7usq605tEYbnL2plo5n71rWZhnUvLMuvLwwBjutizMMyl5dDpxuXhRzuw780wplEKEV7VGKW72nZy96nIhZ8/UyrK4SwTnM+vqiZzJmW3zrpSolX2ndzfTRAQPD8yzr7autOaJMYggZ18tZ+aZUtyMwfFIBK1RCjmz7+TsTccjl4sXRVAKOZOzZ3ImZ8bwptbYNtbVM6cT57O7tca2se/+n5xJiTF8+u744tP31+XCPPtvKdE7y0KEd0UQQc6eSYneWRbG8KrzmVq9al1pjTE8E0FK7pIStdI7YzBNpERrpEStficpMYabCMagVneZZ8ZgDCJojVq9a57ZNiK8agwiqNWr1pXW3GUMIqjVM9vmTbVyvZIz00RrRHgUQSlsG71Tq3eNwfHomZxJiW3zrtZIiZw9czpxufiQlKiVfXeTEmNwODBNtEZrjOEu8+xm2zw6n5lnv7Na3SwLY3C5UIqbfadWd0mJbfNMBMvCPFOrV51OnM9etW1sG/vuRfPMtrnLtrFt7LuncuZ89um744tP319jcDz6n3JmXSnFu85ncvaqnFlXlsWLxiCCnL0qJdaVUhjDE5cLOfuQlFhXciaCMdy0xhi+Ws6cz25aI2dScrdaaY3WyJmc3WWeac2LImiNdfWmeXYzhjdF0Brr6pl5JiUivKtW9t3NNHE+MwalkDP7TkreFUEEOXtRrSyLN43BGKyrF80z20aED4mgFPadCNaV65XePSqFaaIUWmMMr1pXloUIItg2jke/kwjG4HRi29xsG71Tqw/JmZSI8CiC1siZWr1pnhmDCM9E0Bq9e9M8s23etG20Ru+eO53YNp++O7749P00BhHk7LflzLpSijeNwenkTTmzrpTimdao1btSoneWhTE8GoPj0bsi2DaWhcOBUtyk5CbCTWscDkwTpdAarTGGdx2PbBsRjEGt7hJBBCkRwbaxru62rmybF43hJmfvqpVl8aYxSImcvShnxnCXlKiV3hmDCHKmVncbg5S8KmdypjUviqA11tWb5pnW3C2CUuidlJhnxnCTErVSK9crvXM6uWmNw4FpojXG8CglHh5YFiLImZy9KoIIxmDbaI1loRSmicOBUmiNy8WjlJgmponW2DZ3y5kxPDqfSYla3WWeac0TEZTCupKSNx2PnM9eFUFr9E5KnsuZlBjDp++GLz59P10uzLPX5MzpRCleNAYR5OxdOZMzpXgUQQTz7C45s64si5sIxiBnz0QwBq1RCqVwPnM80jv7zunkZl1JiVrpneuV3qnVTQTLwuHANLEstMYYnphnUmJZyJmUPIoggjHYNpaFUpgmpolSaI2USInDgWVh29xlntk2T0TQGrW6S86kRGteFEFr1OpVxyOXi7u1xrKQMzkTQSlEuMv5TM7etK48PHjR+UxK5OxNpxPb5i4RlELvpOTmeORy8aKUmGdqpXf2nXV10xqHA9NEax4tC6cTEYzBtrEsLAulME1ME6XQGpcLERyP1ErvXK/sO71zPJISOXM6se+sq5vzmcOBaWJZaI0xvOh45HJx0xoR1OputbJtRLiJYFlYV3L2rnkmggjPRFAKvZOS180z57NP3w1ffPp+GoPj0VvmmZQoxTPnM/PsbrWSEqW4aY2cfUjO1EopRJCSRxFsG6UwTSyLm1rZd3pnnsnZTWvUyjwzBmN4lBI5Uyvryr6z7/ROSm5a43BgmiiF1tyM4WZZKIVpYpoohda4XDgeOZ1YV65X9p3eOZ3ImX0nJVpjmmiNCK86nVgWT7RGzuTsbuvKwwMRnlkW5pmUvGqe2TbviqA1to3eOZ1Iid7JmWmiNe8ag+PRm1JinlkWT0Swbayrd+VMzmybN0VQCr2TkkfzzLa5S0rkTK30zvVK727GYAwiaI1SaI3LhZQ4HqmV3rle2Xd6Z11ZV+aZnEnJowjOZ9aV04nzmZTImVrpneuV3knJzbIwTUwTrTGGm3lm22iNbWNdfdg8MwYRLAs5k7O75UxrnohgWVhXUvK2WhnDp++GLz59/0QQQc7es65uSvEogm3jePQh6+pmWRiDWt0lgggiyJmcKYWUWBYOB0rhcuF04npl36mVnD0TQQTz7KZWWvOmlEiJWqmV3rle6Z1aiSDCTQTHI6cT68r1yr7TO+vKPDPP5OxFKVEr+07vbqaJaaI1z+RMzmybmwjGYF19SEo8PLAsnhiDCGr1rpSI8KoISnGz76TkiVrZdyKYJsbwoghSImfvWle2jQg3ESwLtbrb6cTl4lURlELvpOSZnNk2XyUlamVd3aTkZl3pnXWlVuaZnEnJ3cZwkzPz7GYMz6RErdTKvtM76+qmNQ4HpsnNwwPzTGtsG9vGGIzBGIxBBBGeOZ1YFpaFnKnVh5xObJtHESwLtZKz+0X49O33xafvn/OZnN2rdzetuYkgZ3L2rgjGYNtojZTYNiIohWlimpgmDgcOBw4HDgcOBw4HSqEUSqEUHh7cRHA80jv7zroyz97VGvPs0TwTwRg+LCVSIoKcyZkIvvmGeSZnv5OUqJXrld7dHA5ME615dDpxPrtZFmr1VWolgjHcRNAa6+ouOTOGF7VGKcwztXpVSqwr68qy0JpnzmdydreHB1pzM4abeXa3eWbbiPBMBKXQOyl50enE5eKrRVAK+04EvVMKY/hqEbRGrR6dTrTmXSmRM7XSO9cr6+qJCC4XLhdaozVaozVKoRQOBw4HDgcOB5bFzRhE0BqtMQYR3pUzKTEGESwLOZOz++XMGD59+33x6ftnDE4nH9E7Y7BttMbp5FEEY7BttMayUAqHA6WwLFwuRHA8khIpUSu90zu9c71yvXK9cr1yvXK9su/sO/vOvvPwwDwTQc7k7G4RjEGtnqiV1nxYBMtCzqwrEfTOGCyL36uUqJV9Z54Zg2miNVIigmVxM8++2rqyLG7GICVydpfjkcvFExG0xrbRO7W6S87su5tpYts8GoPTyd1qZQy2jdZYVx82z7TmiQiWhXUlJa+aZ7bNV4mgFHonJTcpse+0xrb5KmOQEjl7NM9uxvBhrfHwQM4cj6wr68q60ju90zu9s+/sO9cr1yvXK9crOZMSOXM8uomgNUrhcGCaKIVloTW2jTE8qpXWWBZyplYfczxyufj07ffFp++XCCLI2UetK60xBpcLpXA4UArLwuVCBMcjtbLv7Dv7zrqyruTspnfOZyJIiZTcJYJto1bWlWXxIa2Rs2fm2c0Y7hbBspAztZISEaRE725K8XuXErXSO727WRYi2DZSojW2jW1jDMZgDCKI8KacSYlloTVqdbd5Zts8imBZ3Ow7KfmwWumd85lSGIMxyNmrIogggjHYNnJmWUjJVzmd2DaPIlgWaiVn70qJMXxIBKXQOyl5IiXWlfOZZfEhEbRGrZ45nWjNh4xBBLWyrpRChA9pzc2+MwbzTK2sK72z71yv9E6tpOTmcqE1DgcOB1pjDCI4Hn3cPLNtRPj07fbFp++XCFLynggi2DaWhVIoxaMIamXf2Xf2nXVlXZlnciYlz4xBSqTEulIKY7hLBMtCraTEPLsZw10iGIPTyYtOJ1pzlwiWhZyp1YvWldOJaWIM/ytS4nRinj0agwguFy4XWqM1WqMUSuFw4HDgcGCamCamiWmiFCLYNiI4n2mNbWMMIrwpJcagNUrhdKJWv5OU6J2cKcXNslAKpTBNTBOHA4cDpVAKpdAa5zNjuIlgmjgcmCZKoTVaYwzG8KKcyZltI4JloVZydpd55nx2tzEohd5JyYtSonciKMXdxiBncvbMPLsZw10iaI11dZMSDw8si7u1xraxrm5SYgwvSomcqZVaWVd653qld1IiJVKiNQ4HpolloTXG8L6cGcOnb7cvPn2/tEbOflsE28ayUArTRClcLhyP1Mq+M8/Ms5sIUvIh5zO1ukmJfacUxvCu85mUmGePamVZ3GUMciZnL5pnN2N4UwTLQs7U6omUiPBonllXSmEMb/rmG1JytwhaoxQ360rOpMTxyLqyrvRO7/TOvrPvXK9cr1yv9E7v9M66Uivz7CYlNxGcz7RGKRwOHA5ME9NEKSwLrblZFsagd+bZm775hpTc5XQiZzfHI7VSK+tK71yvXK/sO/vOvtM760pK5EzOXK9cr/ROrR61xrJwODBNlEJrtMYY5Mz5zLJQKzm72/HItrnLtrEs9E5K3tU7OVOKd0XQGqeTV51OtOYuY7jJ2aNa3YzhXa2xbey7RzlzPvuQCJaFnJlnUqJ3rld6JyU3y8LhwDTRGtvmudOJy8Wnb7cvPn2/RIgfHo3BtrEsHA6UwvlMStTK9cq+s67MMzm7GYPTid45n2nN3SKIIGePUqJ3loUxvCqCbaNWT+RMSrTmTRG0xunkTbWyLF4VwbKQM7W6S87sO63Rmt+LbaMUxqB3aiUlN+vK+cwY7pISKZESOZMzY7Cubo5H1pXe6Z1953rleqV3eqdWjkc3KRFBraTk9yaCUqiVlMiZnMmZnEnJq8Zw0zvb5lFK5Eyt1Erv7DvXK71Tq0et8fDAGL5KzqREhDdtG63ROym5W62cTkwTY3jVGORMzl41z0QwhjdF0Brr6pl1pRRv2ja2jX33xPHItrlbBMvCPFMrP/whY3iUErVSK/vOvrOubs5nDgemiVJojZFmts2nb7cvPn1/RIigtGxZuFw4Humdfad3aiVnL4oggpzd9M4YLIu7RJCSZ3JmXVkWL4pgWaiVlDyzrjw8EOFVY5ASOXtTzqTEtnkmgmUhZ2r1opQYwzMp0TtjUIqvFkEptMa60jspeSIl1pXWGMOHjUEE80yttOZVKZESOTPP1OpmXWmN1vxebBul0Ds5kzOtuUsErVGrm3lm27wrJXKmVmplXcnZTUosC9NEa+6WM6151bbRGr2Tkg+bZ9aVZWEMz0TQGrV6V6205k2tkTMpeSYlHh4oxYu2jdbo3TPzTEpEeFcEy0LO1OpmnokgwotSImdqpXeuV3onZzfLQkhE+PTt9cWn74/zWUhSYt9ZV+aZnN0lgpQ80TsRlOJdrZGzF+XMujJNnjmfSYl59qKUeHigNa86n6nVXWplWTwRwbJQK7V6VUre1Ds5M02M4W4RtEYp5My+k7MnIkjJTUqsK8vCGO4WQWusq5t5djOGu4xBBPNM74xBKX4n20Zr9E5Kbo5HItylNXImZzfHI635kAiWhVqZZ45H9p3eiWCaaI0IbzoeifCibaM1eiclr0qJCK/Kmd4phTE80Ro5k5J3zTMRjOFFYzAG6+pVtboZwxMRtEbvpORFOTOGN0WwLJxO1OqJeWYMd0uJWjmdSIlImTF8+vb64tP3xxjyQ3Y6MU0+7HIhZ8/0TkqU4lURjMHx6FU5UyuleBTBtlGrN9XKGIzhmTGIIGd3yZmc2TY3ESwLtZKzd33zjTfVyrpSCmN4UwStUYqbfadWd0mJ3imFMdxlDDc5e1Qry+Iu5zPz7FHvpEQpvkprtEbvpOTRPBNBhDdFMAa1ejTPbsZwlwiWhZzJ2c0337hJiXWldzfTxDSxbV40z0QQ4YnWaI3eScnvLCX2ndZozU0EY1Cru9VKa56JoDXW1btqpRSPIiiF3knJq45HLheviqAUamWePXM8crn4kG2jFNaVXI9cLj59e33x6fsjguPRPLOuTBNjuNsYHI9etK6kRCleFEFK5OxN80zOlEIEy0KtpORd68qyeKY11tWH1MqyEEEprCs5e1dKRHhXzuw7rdGaF20bpRBB79TqTd98Q0qeSIl9pxTG8KYIWqNWT+RMSrTmTRFsG8ejJ9aV04lpIsLdWmPb2HdS8kzOjOFNy8I8k5InauV89q4IloWcqdXN8UiEJ1KiVq5X5pnWmCZa80zOjOFRa2wbvZOS35uU6J0xWBZaI2dScrd5JoIxPDGGm5y9K2ceHiiFCEqhd1Lypnlm24jwTASl0Ds5e1FKbJu7tUZr9E5KyJlt8+nb64vvmH/913/1i1/8wj//8z97z7/+67/6xS9+4W9xFo8AACAASURBVJ//+Z+95F/+5V/84he/8I//+I/+z4twk7PfyJl1pRTGcJcxSMmr1pWcKcUzlwvz7C61khKluJlnd8mZlGjNozGIIGd3iyCClJgmeicld/nhD90tJdaVMSjFowhKoTXWlXUlJV8tJXpnWRjDq8YgJXL2zLry8ECEV0WQMzl7Zp5ZV0phDO9qjW1j373qeORy8aoxiKBWz8wz20aEV0WwLORMrZ6I8Kpa2Xd6d3M40BoRbo5HLhc3rbFt7Dsp+V/RO2OwbaTEGD6kVlrzKILWqNXdTiciKIVaScld5pkxPLFtlELvpORVOZMSEd7VGttG76Tk/0mJlIjw6dvpi++Qn/3sZ370ox/5+c9/7sc//rG/+Zu/8Zqf/exnfvSjH/n5z3/uxz/+sb/5m7/xP/31X/+1v/qrv/Lzn/9ca81f/uVf+s///E//Z0WQkv8pZ/adZWHbvCmClEjJm2rldGKaPDEGx6NXRbBtLAulMAYRjME0UQqtMYY3rSsPD0S4aY1avSmCbWNZKIVSOJ/d5EwptOZ/RUr0Ts48PLBtlELO7Ds5+73ImXVlWRjDMxG0Rq1elBIPD7TmVa1xOnlVzvROKYzhRRG0RgT77k3zzLYR4UWtUatXzTOteVEEy0LO1OqJnBnDu1KiVvbdTSlME998w7axLGwb++5/TQSleKI1DgemidZojTG8ap6JYAw3rZEzOXtRBGPQGqVwOFAKKblZFqaJZaE1IrzqeORy8ag1WqN3UvKunBnDqyJojQj2nZQ8lTNj+PTt9MV3xH/913+ptTqfz37yk5/46U9/al1XEeG3/dd//Zdaq/P57Cc/+Ymf/vSn1nUVEX7jn/7pn/zd3/2dv//7v/eTn/zEP/zDP/iP//gPP/vZz/yfdbmQs9+WEr1zPtOaV53PpOQu80ytTJObCCLI2aMIxqA1SqEUWiMlamXfSYl9p3dOJzetcTgwTbRGa0R4lBIPD7RGBBHMs0cRjMG2UQqHA6VwuXA8Uiv7Tu+kRK30zhhME2N4U0pE+JAIItxEMM/U6vcuZ9aVZSHCE+czOZOzV9XKGIzhmQgimGdvSol9pzVa80QE57ObdXWXeWYMz2wbEcyzV51ObJtnIlgWcqZWz6TkQ1KiVvad3hnDzbbRu/8VEbRGKeTMvpMSpxO9c73Su0elME2UQmuM4YlaOZ+JYAzW1aMIto1loRRKYVmI4HRi39l3Tidy5nqld1JyM01ME8tCa0R4NM9sm5vW2DZ6JyV3OR65XLwogtbcrKuXHY9cLj59O33xHfHLX/7SD37wA3/yJ3/iN/7oj/7In//5n/vVr37lt/3yl7/0gx/8wJ/8yZ/4jT/6oz/y53/+5371q1/5jR/84Af+9m//1g9+8AP/bZom//Zv/+b/rDE4Hr0kJXpnDJbFi8YgZ3ebZ9aVaWJZ3ETQGqUwTSwLEdTKvrPv1ErOnkiJeaZWeud6pXc3YzBNTBOl0BrHI2OwLKTEtrEslMI0sSxcLpxO7Dv7zroyz+TsmZTonVophda8KiUi3CWCUiiFlHh4YJ4Zg1KI8CER/PCH3pQz60opHkWwbdTqXbXSmmfGICV3SYneGYNlcRNBa25qdbfjkcvFExG0xrp6U87kzLZ5FMGykDO1elVKRPgqEaREzkwT08S2+b3ZNkpx0zu1usmZMTxKiVqpleuV3jmd3LTG4cA00RrffMMYlELOtEYpHA6UwuXC8Uit7Dv7zroyz6TkmZSolVq5XumdlNxME9PEstAaKVEK28a+k5K7zTPb5pkISiElavW2CJ++nb74jvj3f/93f/qnf+p/+sM//EO//vWv/bZ///d/96d/+qf+pz/8wz/061//2m/88R//sT/7sz/z37755hu9d3/xF3/h/6QIIsjZW3p3U4oXHY/uFuEmZ8YgglKI4HTiemXfWVdy9mEpUSu9c73SO6eTm9aIYAwiOJ9JiVq5Xtl31pV5JiWvGoOcPZpnrlc300RrnkmJCK+KYNsohVLImX2nVjcp0Ts5M0205vcuZ9aVaXLTGjmTknfNs5tt88T5TK0+pHeSsD2E2IaUqNWHzDPb5okxSImcvet04nx2E8GykDO1elNKjOFuEbRGKcwz80zOXK/MM60xTbTmLhGeiaAUWmNdqZWUPEqJy8WrUmKeqZXeuV7p3c22EUEEYxDB6cS+s++sK/NMzr5KStRKrVyv9E5KRBDBGKREa/8fe/AP4tu6HwT/M5tAIJVISLu/C4SDcLsQQhrnebq0goVpnLWsjJhaSOEzT2ERTaGkSLnWNFZ2VoKwnhHvLdKJaTYp1neTQqxSWYVz533Pz/dO7mT+7N/ce47vPvvM58MYXiWCTPcyWRbmmda8bJ4Zg0xvPj/vfE98/fXX3r175+e9e/fOT3/6U3/b119/7d27d37eu3fv/PSnP/W3/a//9b/M8+yf//N/7u///b/vOV999ZWvvvrKV1995U/+5E98r2QS4RzrSilMk3uZZFKKZ2UyBr1TK9PEsjiJcDLPrCvz7FsXwTxzdUUpTiKctEZrlOJsmUR4UmvsO5lME2N4JNMDmWwbtdI7V1ccB615UmscB2MwTWT6pExnK4V1pVbGYF2drTWWxb1MMinF0zIZg21jWVgWauXiQhvVEdUei3Z9wTQxTSwLvdM7Y3hJKWybk0x6pzVnmWcyGYObG0qhNZ8U4WyZ1OrkOGiN9+/JdNIax8G+O7m4oHcyPSnCA5n0Tq2UwnFQikfev/dqEVxdMc9EEEEmEcwzEb4TEVxdMQalUApXV0565+KCaaJ3emcMzyqFMZxkUiut0ZrzRJDp++RP/uRPfPXVV7766itfffWVL9U73xO/+qu/6uuvv/bzfvrTn/qVX/kVf9uv/uqv+vrrr/28n/70p37lV37Fz/sf/+N/+If/8B/6J//kn/j93/99L/nw4YMPHz748OGDP/iDP/C9cnvrNVpjXZkmxiCTCA9ksm0sC7VSK8tCJldX3N1xHLTm5DgYg1p9Z7aNZXGy70SwrtTKtnmVTCI8K4J1Zd9ZFmol00mEe5n0Tq3c3rKuHAfz7JMi2HdaY5ro3SdFOEsmt7eMQSbTRK30zhheVArzTO9OxiDCQ5n0Tq3USu/c3jq5vKQ1joPj4Dg4Du7u2HfWlctLJ5n0zsUF00Tv/rarK25vnfROKZTiLJmUwrI4ac1ZLi+5vfWiTHqnVuaZ1rwogtY4Die1Mk307lnbRq1ksu+05lmlsG1eJZNaney7k+NwMk2M4TvRO7Uyz+w7YzDPtMa+c3fHvrtXKxcXTBO9s23uXV5ye8u2USv7TinOVwqZvk/+4A/+wIcPH3z48MGHDx98qd75nviN3/gNf/7nf+7n/dVf/ZXf/M3f9Lf9xm/8hj//8z/38/7qr/7Kb/7mb/qZn/zkJ/7pP/2nrq+vLcvii5ZJKV6jFNaVWumdCLaNZaFWauXmhgha4zg4DtaVefZIBPtOKUwTY/jWZNI7vbOutEamk1I4Dm5uWBZnu72lFJ8UwXFQCtNE707GoHdqJZN1ZV0pxavNM8fBGEwTmX5hmSwLtTq5vmae2XdKcdI7FxdME72zbR5ZV66vyeTmhtb8H5n0Tq1k0hrHwb6zrqwr80wpRHgkglKYZ1pjXdl37u7YdzK5uKB3Mn1jntk2MhmDdfWkTLaN3lkWpola2TYy2TZ6963IpFYyOQ5a80AEmZ4UQWscB/tOJtNE72Q6yWRZ6J11ZV2J8KIIJ5nOMga1Ms+0RgSZRNAa68qysCzOEkGmF2XSO9vGvtOakwgyPRBBa7TG3R3Hwbo6ubnh4oJp4uaGbaN39p0Ir3N5ye2tN5+fd74nfuu3fss3bm9vfeMv/uIv/OQnP/E7v/M7vvHf//t/9z//5//0jd/6rd/yjdvbW9/4i7/4Cz/5yU/8zu/8jm/85V/+pX/xL/6Ff/Nv/o1aq7/+67/213/9177++mtfpEwuL71GppNSGINt4/aWy0ta4zjYd1qjFM/KJMK91th3loXe/dJ6p1Ynx0GEk48fiXASwb6TSa3OkulVWuM4yCST3p3sO+tKKX4pEew7rTFN9O5Vto1aqZUIjoPWaI1tI4LWaI195zhYVyc3N1xcME0sC70zBtfXLAs5UsmNWqnVyb6zrpTiWxPBunIcTqaJaaJ3EdRKa2QyBtvGslArFxfUys0NmVxesq4cB9fXzDP77uTigt7J9KwIxvBIJr1TK/PMuvqlRLCu7LuTaWIMloUIjoNSnC2CMXxS7ywL+05rnlQKx0EE00TvfimZ1OrkOIhwrxTG8KIISqE19p27O9aVTCeZ1ErvZHqdTG8+P+98T7x7984f//Ef+8M//ENXV1d+7/d+zx/90R/59V//dd/4d//u3/nxj3/sG+/evfPHf/zH/vAP/9DV1ZXf+73f80d/9Ed+/dd/3Tf+w3/4D/73//7f/tk/+2d+9KMf+dGPfuRHP/qRf/2v/7Uv0hhE+JRMto1lYZpYFkpxEkEm80wpznZ7S4QHIjgOxqBWMr1aJrWybew7rXkkwgP7TilME2N4USaXl86WSe+M4SSTy0sifKvmmeNgDKaJMdzLJMK9TLaNWumdqyuOg9Y8EEGmByIohdbYd+7u2HcinCwL19eU0R0meufqiuOgNSJ8ZyJojbs7WiPTnpM5u2WhVnrn9pbLS1rj7o7jYN9ZV+aZUpxkEkEErXEcTmplmujdI6WQ6YFMaiWTfac1z4og09kiaI3ra/e2jd69SilelEnvbBv7ToQHIsj0QGvsO2NQK5lerXdqZZ5pzSMR3N56lUx6Z56ZZ9aVfXcyTUwTvZPpZfPMGN58ft75Hvnt3/5tP/7xj/3pn/6pP/uzP/O7v/u7fmZdV//oH/0jP/Pbv/3bfvzjH/vTP/1Tf/Znf+Z3f/d3/cy//Jf/0ocPH3z48MGHDx98+PDBhw8f/Kt/9a98cTKJIMJTMtk2aqVWbm64vOQ4OA6urojgOCiFaWIMrxLhSfvO1RW1MoazZNI7tVIKx0GERzJ5/94jrbGu1MoYnpVJhE/aNmqlViLYdyfHQe+M4VsXwb6zrtRK7x7IpHdqpXda4ziYZ08qhTF8UgSt0RrHno65a7Gx7xwH8+z/unlmXcWxa2U4ojoO9p11ZZ4pxYsyubx0L4LWOA72nUymid7JdC+CTDLpnVqZZ9aVCC+KINOrbBvbxroyz+y7k4sLeifTJ11ecnvrSZnU6uQ4iPCkTI9EsO+UwjTRu7Nk0jvbxr7Tmie9f+9VeqdWSqE1Ivj4kQha4+6OfXcyTUwTvZPpaRFkevN5eed76Nd+7de8e/fOOX7t137Nu3fv/GBlEuHnZdI7tVIrt7dcXXEc7DvzTISTTCKctMa6Uivb5ixjcHnpWfPMvtM7vXtRJsvCGOw7rXlWJhGeVArHQe/07pFMJxGelMm2USu9c3XFcdCakwgiWFd6Z9t8J0rhOBiDaSKT3qmVTNaV46AUL7q85PbW+TKpVQSOg1L8/y6CfRdzYZoYw7nGIMKTIlhX9t3JNDFNbJuTMVgWxmDfac13YtvonX0ngm0jgtY4DifTxDSxbZ4VQaZHMlkW5pnWPKsUMj2rNY6DMZgmxvCsTGp1chxEeNY8s20+KZPe2Tb2ndacvH9PpgciaI27O/bdyTQxTfTOGP5GKYzhzeflnTdftttbGcW2sSxcXFArmbTGcbCuzLMn3d5SinulcBzc3LAsvhUR7LuTaSLTSSYRZNI7tVIK+06EX0oE+84Y1OqBTE/KpHdqpXeurjgO5tm9TCKcRLCu3NywbT4pk/fvvUoE60opTsZg31lXSnG2TOfpnVqZZ1rz2WmNdaVWts2nZBJBhBdF0Bp3d8wzvZPJslAK+06EV4kg0ydtG72z70RQipNMJxG0xt0d80zvTBO9e6QUxvBA79TKutKaX1oE+866Uiu9e6R3amWeac1ZIsj0rExqdXIcRLgXwbZ5VgStcXfHvjtZFqaJ3snEx4/efF7eefNlG8OyXeqdCPad42BdKcUnjcHlpQci2HcimCbG8KwxKMVZWmNdmSbGcJJJrWSy77TmLJnOsu+UwjSR6SSTCPcy6Z1ayWRdOQ7m2SO3t5TiXgT7zs0Ny+JbNwa1OomgFGqld2ebZ8bwskx6Z9vYd1rz2SqF4+DmhmXxkkwivMr7904inIxBpu9EJr2z70S4N8+M4ZHWOA72nUymid7JdC+CTDLpnW1j34nwSRF8/OgspXAcTqaJTMagd7aNfac1ZyuFMTypd2plnmnNI6U4WwStcRzsO5n0cUmmN5+Xd9588SIohdYoxatkelZrrCu1MoZHMonwKqWw7yyLk1qZZ9aVCGfLJMJZWmNdqZUx+PiRUsikd2olk3VlXSnFs8bg8tIj+04my+JbkUnvLAvryro6ubpi3xmDaWIMZ4kg09MyqdXJcRDhsxfBvhPBNJHpKbe3lOIsmdRK76wrEew7pTBN9O7VMj0rk1rZdyI8EMHtrWdFsK7su5NpYprYNkrh5obenRwHEc7y/j2ZzhZBa+w7vTvZNtaVCK/28aMHMumdbWPfac2zIsj0amMQJcj05vPyzpsv2xjWPUQwTYzhbJlOSvGsUjgOemdZPJDpbJlsG7VSK5lEOLm89AuJcLZS2HeWhW1jDGp1su+sK6X4pEzP2ncyqdUvLJPeqdXJcVCKkwgyiWDfaY1a6d0nlcIYHstkWZhnWvO90xrrSq2eMgbv33tRJr1TK6VwHJTiXmscB5lME2M4S4RnZVIr+06ER96/d5YIWuPujnmmd7aN62siaM13LpObG/fmmWVhmpgmemcMn3R5SaZ7mdTq5DiI8KJSGMPZeqdW5pm2F8bw5vPyzpsvVyYRRGiNdaVWeneWTGeJYN+JYJrIdC/CkzLZNpaFaaJWbm+5uuLujn0ngn1nWajV2TKJ8AsphUzGYF1pjQhnyXRSimftOxHU6tXGoFYy2Xda80CEB+aZuzsn00TvnnV5ye2tx5aFUmjN91YpzDO1ekqEZ/XOsjjZd1pzL9O9CNaVdWVZWBafFEGmRzJZFtaVCE+aZ7bNq1xdMc/ubRu9e5UIMp0tk1qdHAcRXF1xHOw76+qkdy4umCZ6p3ePRLBtTsagVuaZ1pwlgttbn5RJ72wb+05r/kamN5+Pd978YJTCcTAG00SmF93eEuFsrbGuTBNjcHtLKU4yGYPeqZVaubnh8pJ15ThYV+bZye0tpRDBcVAK00TvvnWZ9E6tRFAK80ytLIuzZRLhk9aVCGp1lkx6Z1lYV9aVCE/6+NEjrbHvjME0MYZHItg2D/VOBK353mvNSe9+JpMxKMUjmdTKttEarRHhkQgPlMJxEME00btXyWRZaI1SvCiCTGcZg1qdrCvzzL4zBtPEtjlLBJk+KZPeqZV1pTUnpTCGkwhKoTX2nbs79t3JGFxcME0sC727tywsC/tOa872/r1PGoNlcXIcRPgbEd58Xt558+XKJMLPi2DfaY1ponfPyqQUr1IKx0HvbBtjUCvTxLI4aY3jYN+ZZ0rxyBi8f+9ea+w7Y1ArmZ6VSYRPymRZqNXJcdCak6sr7u6I4OKC3n3S7S0RzrKuXF1Rq2dl0ju1OjkOSvGsCM+KYN9ZV5aFWj1QipNM/8cYbBvr6oux72wbY/iZCA9k0ju1UgrHQSmelEmEJ7XGvjMG00SmRyL4+NG9TJaFqytK8UmlMIYXZdI7y8K60pp7Eew7+87NDdPEtnlRBJletG0si5PjoBT3Li+5vfWsCFpj37m7Y9+JcFKrk21jnonwKqWwbZ6USe8sC+tKax4rhTG8+Xy88+bLdXtLhKfMM8fBGNTqSZlcXjpbJttG74xBJmNwdcXdHcdBa5TiLBEeiGDfKYVpondPyvSiTJaFWongOGjNvQgynbTGcZDJNLFtnpVJhLPNM1dXTJNHMqmVTPad1nzS+/dkelEpHAelcHFB7+5FMAYy6Z119cVZV2olUyYRTjLpnVqdHAeteVYmEV4Uwb4zz0wTvXsk00kmy0IpzLOzXF5ye+tZ28ayODkOSvGkCPaddaV3polt86JMj2TSO73TGq15UqazRdAarXF97SSCMbi4YJronUyfFOEk0wOZ1OrkOIjw5nvinTdftgjPiWDfKYVpYgwPjEGEZ2WybSwLtVIrt7dcXrKuRFAKHz96lUwyKcWTWuM4GINpItMDHz8S4ZFMloVaieA4aM0nRbCu7Du9M01keiSTy0uvMs+sK9Pk5ONHeqdWWmNdifCta43jYAymiTEohY+3ybJQCqX44pTCurIsbm8phUxqJZN9pzXfqtY4DifTxBhO3r93kkmtlEJrzlYK2+aRTHqnd9aV1pylFI6DdaV3pokxPBLhkd6p1clxUIonzTNjeLXeyWTfyWTfubtjXZ1ME9NE74zhWREe6J1amWda87LLS25vvfl8vPPmyzUGl5c+pTX2nWWhdyeZRBDhXiZj0Du1Uis3N0TQGsfBujLPfPxIKew7Y7BtzpbpkyLYd1pjmujdAxHuZbIs1EoEx0FrXi2C42CemSZ698AYlOJsmWQ6KYVt4/rayXEwz14lgkxni2DfWVeWhW3j/bghgtZ8sebZyXU3BrXSGutKhLNkepUIWmNdWRaWxUkmy8I805pXiSCCTPd6p1Ynx0GEVyuF42BdWRamiTHciyDTSSa1sm3sO635pAgynW3b2DbWlVKIYAwnpdAad3fsu5PemSZqpXcPlMIYZNI728a+05o330PvvHnz/4rgOJxMEzc3RJDJtlEr08SykElrHAf7TmuU4oExuLpysu/c3DCGs9zeEuEs88xxMAbTxBhk8v49mSwLtRLBcdCaX1prHIeTaaJ3MonwQCaZjMG2sSwsC7VycUGt1ErvZDqJ4PqaaaJ3Mp0tgkyvkumkFIphtrGuvnj7rsXGGOaZCK8W4dVK4Tic9M4YZHJ5yRhkepVSGINMamXb2Hda80srheNgnlkWpokxiOD2lt6plVI4DiKcpRTGcJZto3f23b1SuLnxSAStse/sO6WQycUF00TvRHBzw7I4OQ4inCeCTG8+H++8+XJlEuE1WqM1rq8Zg1q5veXqirs7joN1pRTPGoNMSnFvXamVMXxSJqU4WwT7zrpSK2Nwc0OtRHActOZsEXz86EURtMa+Mwa1OlkWamWamCZqpXdub4ng8pLWOA6Og+Ng351cX5PJcbCuTqaJaaJ3xvCiCDJ9UibbxrIwTSwLEazRmWc/GK1Zy41vLAvTRO9sm0/K9CqZbBvLQq2MQaaTCHqnd2rl4oKLC6aJaaJWamVZ6J3e6Z1tc9I7tVIKx0GEb1VrHAfzzLKwbVxfMwb7Tmte5fKS21uflEnv7DsR7l1esm1eFEFrrCt3d6wrmVxfM4aT1rxOBJnefD7eefPlyiTCuTJZFnonwkkE68o8O9vNDfPsgQiOg1oZw4syubz0ahFEkMkYrCut+U5FsK5OMrm8pDX2nbs7joN9Z11pjXmmFCLc2zYyaY3ra3qnFFrj7o59d7IsTBO9M4ZXyWTbqJVaubnh8pLj4DhoVykkrfnBmGcxNu0qHQf77uTmhmmiVnr3rAjPymTbWBZqpVZuboigNfadCK6vyWTf2XeOg7s77u7Yd/ad1miNy0v3Mrm9ZQwyKYXWfKeurphn9zLJ9AvJ9KJMloV1JcID80wEmc4WQSYRlEIE00TvzhdBpjefj3fefJkynWvbqJVaieA4KIV1pRSmiTGcJZNt4/LSIxHsO8tCpidlMgalOFsmtVIr80wE68qyUKvvVO/Uyr5TChGUQoSzZHJzw7o6aY1tI9O9CFrjONh3J8vCNNE7vbsXQaaTTHqnVmrl9parK46DfWeeifB/jEEpfnDmmZsb34igNfadfacUxuDigmmid/c+fiTCvUy2jWXh4oJaub3l8pLWOA72ndYohTEohdaYZ2r1SAQRlEIpzDOt0RrryroSwTyTSa2+E5n0Tq1Orq+5vmaeWRamiTGcbZ4Zw7MyWRZaoxRPKoXenWUMloVS2HcyWVf23cnFBb2T6c33zDtvvlwRnpPJtlErvXN1xXHQmpNMImiNfad3lsUnZVIKpXhSKawrtXpWhLNkUiu1UgrHQWtkMs8cB6UwTfTubO/fk+lFmfTOtrHvRHB1Re9epXciKMW9eaZ3T4qgNY6DfXcyBhcX1EomvVMrtZJJaxwH68o8eyyTmxuurvzgXF1xfe1vi6A19p3jYJ6dXFwwTYzBGNTKxQW1cnvL5SX7znGwrswzpXggk965unLSmpMxvEomY3B1xb5TCtPEGL4120atZLLvtOYkk9Y4DuaZZWGaGMNZIsj0SCbLQimU4lmXl2ybF2XSO8vCutKaByJojeNwMk30TqbnRZDpzefhnTc/KJn0Tq3c3NAax8E8e1YE+04E08QYntU7V1deVAqtUatHMonwokxqpVZK4ThozUkmEe61xr4zBtNEpl9aJr07OQ4inMwzmYzhLGMwBuvqgXVl23xSBK2x7xwHEU7GoDWOg3WlFC/LJJNS/OCUQimM4TkRtEZr3N3RGmMwBldXHAfHwboyz5TiRWNQCqW4t67UyhjOlkkEpThpjX1nWejdLyWTZaF31pV1JcLJ+/ceaI3jYJ5ZFqaJMbyoFMbwQCa9UwqtedE8E0GmJ2VSq5PjIMJJBJkeiKA1jsPJNDFNbJs3n7l33nyZMonwM5n0Tq1ksq7sO6U4W2usK7XSu0cyyWSefdI8Uwq1euD2llI8aduolVopheOgNZ8Uwb4zz0wTvfuFZbIsRNCaR1rj5sYnZdI76+pJ80zvXiWT62siuL11vt5pzQ/W1RU3N86Ryc0N19eUwsePRDhbJr1zdeWBCPad3p3t9pZ59kAEx+FkmhjDq2TSO7USwXFQirO0xnEwzywL08QYnhTB7a0Hbm6ctOYspTCGR3qnVuaZ1pwtgta4u2Oe6Z1pond/I4JMbz4Pn3ZwAAAAIABJREFU77z5omWyLNTqZN9ZV0rxokwiPFIKx8EY1Eqme2MQ4WytEUGt7o3B5aUHto1a6Z2rK46D1jwpkwhPao3jcDJNjOFVMqmVUmjNk+aZbSPTi25uiKAUT2qN62tnu7khgtbYd8Zg23xaJpnMsx+seWYMMr0kk94phdbYd7aNMZxtDCIoxSOlOOndWcbg8tKTWmNdqZXefVImvbMsTvad1vxCWuM4mGeWhWliDA+8f++B3slkXZ3t8pKbG/cy6Z1tY99pzS+sNY6DdWUMponeEUGmN5+Hd958mTKNDLUSwXHQGhF+aRHsO1dX1MoYTm5uaM2rrKuT3p2MQYSTbaNWeufqiuNgnr0o04siaI11ZVlYFo9EkOmB3qmVfac1L5pnevesTLaN1jwrglLYNp+Uybaxru6tKzc3jOFlNzeU4gevFHr3kpsbJ625t64si7Nk0juteda+MwZjeFEmmZTiWaVwHIzBNJHpSZksC9vGutIaEX5prXEczDPLwjQxhpN5ZtucbBvbxrp6lXkmk0wyWRYnx0GEZ0WQ6SylsO/sO2Owbd58Rt5582X6+NFthgiurrxaJhFeNM/sO72zLIxBKV5t3xmD3olgDGqld66uOA7m2Vk+fqQUn1QKx0EE00TvnpRJ72wb+06ET1pXts2zloXWiPCi1lgWL8pkWVhXD0SwrtTKGJ43BldXfvAuL72kd7aNdfVAKcwztfqkMYigFC9qjVrJ9KxMInxSBPtOa0wTvbuXSe/USikcBxG+da1xHMwzy8I0MQYR9E7v7LtXySSTUlgWaqU1WvOdGMNJBD5+9Obz8M6bL1a7phSmid59JyJYV7aNCC4uuLjg4oKLCy4umCamiWlimqiVWqmVWlkWIri+JpPeubriOJhn36nW2HfGoFYy3cukdyfHQYSzzTPb5pFtczLPPqkUSmHbPKt3SqEUj0RwHNTKGN68JIIxPGXb2DaOw5Nac9K7Z2XSO635pFK4vmZZPKt3SnG2eeY4GINlYQxqdXIctOZsEWR6tdY4DuaZZSGT62tKoXeWhWWhVmqlVmplmpgmLi64uODiglqplW1jDOaZUnzrMqmV3mmNMoc3n4933nzRWuM4nEwTvfukTCJ8UibLQq3Ms5O7O+7uuLvj7o7jYN/Zd/adfac1WqM1rq64vCTCSYSTjx/9Qsbg/XuvEsG+UwrTxO0tY7AsRNCaV7u6Ylk8kEnvtOZsrdG7J20bY9CaZ0Ww7yyLp41BhB+8Usj0t2XSO/vuRevK9TVjeNIYRFCKs7TmpHdPGoPLS68W4SSTUmjN/3VXV0S4l0kEl5dcXnJ1RWu0RmvsO/vO3R13d9zdcRwcB6Uwz06mid59UgSZXpRJ79RKKRwHpXjzmXnnB+ov//Iv/Zf/8l98+PDBly6C1th3xmCaGMMvLJPeqZUIjoN1JdMjEUQQQQQRlEIplMI8UwrbxvU1pbDvZDJN9O7VIvxCrq5YV66vnYzhZAyvVgqlsG3u9c48U4qzlUIEY3ggk97Zd59UCuvKNHkokwgivPl/RZDpZzJZFtaVCC+KYN9ZFo9k0juteZV95/qaMTwwBhGU4pMy2TZqpVYiuL6mFCfTRO/+r8hkWaiVUiiF62syubxknpln5plSKIVSiCDCs66uaI19ZwymiTH8QjLpnVqdHAetefOZeucH6D/9p//kH//jf+w//+f/7Pd///f9+3//7/0QRLDvrCvLQq1keiTTkzLpnVqdHAetuRdBplfZNmpl37m8JJMI1pV9J5NpondnyfQqmYzBsjBN9E6Ek3l20jsXF0wTtdI720amF11dcXPjZAzGoDWvdnVF7+5lsizMMxHOUgqtUau/kenN0zJZFkqhFGcphXmmVg+MQQSleLV9Z1k8cHtLKV6UybJQK7e3tMZx0Brv3xPBurLvjME0MYbvRCa9UysRHAetkcnlJftOrYzhVTLJpBQnEew768qyUCuZHokg0yOZLAvbxr7TmjefuXd+YL7++mutNTc3N/7tv/23/uN//I/WdZWZviiZvH/vKaVwHJTCNNG7RyI8sG3USib7TmseKYUxnG3b6J19J4IIMt2LYF3ZdyfTRO9elEkpPimT3pkmloUI9p19J5Pra7aN1th37u7Yd66unNzcME1ME9NE7/TOGO7NM5lsG8vCuvqFzDOZjOHk5oYIWvMq80wEtfobEd78f0phDJksC6XQmldpzUnvTjLpndb8QkphnqnVvTG4uvJIJr1TK7USwb6zrpTiSRHsO+vKsjBNZPpWZNI7tTo5DlpzL5NSiOA4qJUxnC2TCI+UwnFQCtNE716USe/USikcBxGe9v49md58Ht75gfmv//W/+jt/5+/4e3/v7/nG3/27f9c/+Af/wH/7b//ND01rHAeZTBNjeCSTWumddWVdifCky0tub52ld3pn34lwL9MjEbTGvjuZ/h/24F/HliVPCO7aR0hICBPhVqR18RFCWDvC4xEGnMp0kMaYF8CJCgkHCWc0BmZmPcNYLbUUsQ0wMLBwLiDl72geAFyMmQ2T803R1fX/9G2+2+fWWhOteSKClLwogtaYJkpx6J19p1ZyZgxyplbmmWXxICXmmVrpneuV3llXhwhK4XRimmiNlGiNlEjJN6uV1ohg21hX32RdHZYFlws5+/Qbvn51f0/O1OqbrCt3d4zBGKREzr5ZrQ5jEEEEOXswBstCKURQK/tOraTkiZSI8EjO7DvzzDSxLER4VkpEeFEErVGKw75Tq0ciSMmDlNh3WmPbvMvlQs5eVCv77jBNtOaRCFqjFId9p1af/oB88QvzP//n//SP/tE/8pv+/t//+/7rf/2vfolSYl3pnWWhFC4Xh9YohZzZd3L2pghvao1tY99JyYOUvColaqV3h2miNa+KoDWmiVIc1pV9p1Zy9sj9PbU6rCvbRoQXpUTO1Mq6cr2y7/TukBIRRDBNnE6cTkwT08Q0UQqlsCwsC63RGq2xbYxBSkRQCrUSQQQRRBBBBBFEEEGEZ/VOBNtd+PQbzmdjCxHU6pulRO8sC61Rq9/ZulIK9/ekRAStMU0sCymx76wrOftmtXK9khLTRGveLYLWKMWhd2r1rAhS8khKrCv392ybN43B+exVKVErvTMG00QElwulMAa9U6tPf4C++IX5y7/8S1++fPGbvnz54q/+6q+85ocffvDDDz/44Ycf/Nmf/ZnvTUrsOylxd8cYRLDv1Opd5pkxvKo1to19981SolZ6d5gmWiOClIigNUqhFCJYV/adWsnZsyKIIGcP7u5ozYekRErc3hLBPJMz1yvXK9crvdM7vVMrtXI+k5IHEVwutEZrRBBBa5RCKZRCKZRCKZRCKZTCNHE6cTpxOnE6cTpxOjEGSXBz49NviLBtnE6cTpxOnE6cTpxOnE6cTpxOnE6cTpxOnE6cTpxOnE6UQgQRLAvTxDQxTZRCKZRCKSwLy8KysCy0Rmu0Rmu0xhjMM3d3RFAKEawr+06tflK1su8O00RrXhRBa5RCBL1TKyn5sJTonft7WvOqMUjJu6TEupIzY7BtzDO9k5Lvzp/92Z/54Ycf/PDDD3744Qffqy9+Yf7u3/27/vIv/9Jv+qu/+it/5+/8Ha/58ccf/fjjj3788Ud/8id/4nu0bYxBzqTEtjFNbJt3S4kIz2qNCPbdi1IiwrukRK307lAKY1AKEdTKvrOu5OxNrTHPHqmVMRjDh7VGzqwrYzCGBymREimRMzkzz9RKrdTKurKu9M66khI5Uyv7zr6z7+w7+86+s+/sO/vO9cr1yvXK9cr1yvXKvpMzUvLpN3z9KiQ5c71yvXK9cr1yvXK9cr1yvXK9cr1yvXK9cr1yvXK9cr2y76TksK70Tu/0Tq3USq3UyvnM+cz5zPnsWZcLEQ4RzDPrSs4+LCUivCklaqV3IpgmWvMggm2jFCJYV9aVlLzpciFnL+qdMVgWz4ogJVLypghaoxTGIGdy5u6O1nyX/uRP/sSPP/7oxx9/9OOPP/peffEL8w//4T/0X/7Lf/Gb/sf/+B/+8T/+x36pIiiF1lhXbm/JmeuVeaY1ponWvClnxvBIBK0Rwbr6f+L2lpy9WwRjcHvriVppzYdsGxHU6lAr9/e+2bJQK+vKsjCGbxLB/T05k+fE5eLT/zXfJSlRim8WwbKwrtzdcX9PSqRESuRMzuRMzswz88w8M8/USq3USq3USq1EMM/k7DBNtOb3LiXWld4Zg1KIoBRaY11ZV3L2bhHe1DsRlOKJCFLyqgiWhVKIYF3Zd1Li9pZ9d5gmWvPpD9AXvzD/5J/8E3/tcrn4a//tv/03//E//kf/7J/9M780EbRGKeTMvpMzKRHhUCv7Tu8OpxOtEeFZKXG5eBDB/b3DunpTSkR4tzFYFod1ZZ5ZV5aF1rzbGKRESp6YZ4cxvEsErbGuHswzYzCGDxuDCOaZlFhXWvNN7u8dasXNjU+/YQzOZ+vqsCy+SWvkTM7UyrYR4XfSGvPM+cwY1ErvDtNEa/6fyNkj+07OPiyC89mbeiclSvHI5ULOnohg2yiFUkiJfWddydkhgpRIiVrpnTGYJsbw6Q/IF78wX7588e/+3b/zr//1v3Z7e+tf/It/4d/+23/rH/yDf+C7khJfv3pOBK1RisO+U6sHKRHhkZSolX13mCamiW3zyM2NBxHc3zvU6l1SIsKbImiNZaFWavUgZ/bdYZrYNm+6v6dWL6qVZfGmCEphXUnJI7Vyf+9DImiNdfVgnh1a8yGtEUGt/kZKRPj0VO9E0JoP2TbGoFYP7u5ozTdrjQhqZZ4dIkiJWundYZpozZtSIsK7RdAapRBBraTEPHM60ZoPi/Bu60rOlOLBGJzPHkTQGtPE/T23t+w7tXpTSvTOurIslEKE5339Sko+/Tx88Qv0T//pP/Uf/sN/8O///b/3n/7Tf/LP//k/90uxbZRCBL1Tq2dFeFZK1Mr1yjzTGtNEaw7zzLYRwbI41OonFUEpDvtOzp5VK71zf08pRHjWGESQsxflTEq05lWtMc/k7Il5ZgzG8G5jOOTskd65u2MM79IaY7Cu/q+cGcOn/88YpORv9c4YjOFdImiN3j1SK9tGhA+LYNtYVw/mmTE8SIla6d1hmmjN72wMloVSHHpnXcnZoVb2nTGYJsbwbhHk7N1q5faWUogggpzZNpaFUhz2nd6ZZy+KICVP5My+kzPTRGs+/cx98Qv29/7e3/Plyxe/BBGUQmusK+tKSp6VkneplX2nd4fTidZIiVLImVp92NevnhVBa5TCulKrN6VE7+TMNNGaJ1qjVm9aV+7uvGjbGINavahW7u+9SwStUatn9c6yeFNrbBu9e16EX7wIUiIlv2ldaY0xvCqCZaFWUvLE3R2t+ZAIloV1JSUPzmcuF0+kRK307jBNtOZDItg2SmFZSIl9p1ZS8kRK9M66siy05k0RpOTD5pnbW0ohgmmiNVJi36mVlLwpgpS8qFb23WGaaM2nn6kvPn3XImiNUsiZfSdnP6mUqJV9Z9uIIMJhDB+SkmdFUIrDvpOzD6mVfWcMpokxHCKIYJ69KSXmmWXxRASt0btXzTNjMIY3tUbO5OxZOZMSrXnRtrFt7LvnpeTT/xHhOSmxrpTCGF50f09KzLNn1cq2EeFdIlgWciZnT2ybF6VErfTuME205lURtEYpXC7Uyr5Tq3fJmX13mCZa86IIUvIhEWwb9/dEOKTEvlOrd4sgJW9KiVrpnTGYJsbw6Wfmi0/frbGFUhz2nVq9W0pEeLcIWnPImbs7h9Y4nSiF1ojwqpsbIjyIoDVKYZ6p1TdLid5ZV0qhNe7vydm7rSvbxhgeRLAs1EpK3lQrrXlVBGOwrl7VO9vGGJ7YNlqjdy/LmTF8+j9S8pyU2HdKYQxPbBvbxrp61d0drXmX+3tSolZPzDMpEeFVKVErvTtME605pEQEESwLpTj0zrqSs29SK70zBtPEGL5ZBK1RCqVwuXB7y90d8+wwTYzh9yYlemddWRbanU8/I198+j7d3IggZ25v/d5E0BqlkBL7TkoOtdI7+07ODtPENNEaY3hVBKU47Du1+knkzL4Twd0dY9AaY3iXdaU1D+7vSYl59i7zTARjeNGyUKt3WVeWxSMRtEbvpOR1l4tfvMuFnL0kJXpnWYjwIILWWFdvqpVtI8Krto1tY129KGfG8C4pUSu9O0wTESwLpZAS+06tpORNEaTkRSnRO7VSCq155HIhZ8+KoDVKoRQiqJV9Z12ZZyI4n+mddWVZWBbvEkFKPiSCCFLiRnBz49PPwxefvls5kxLTxDSxbd4tJSK8KoJSiKB3anVIiQgPUqJWauV6pXeH1jidmCZaI8JhDFqjFOaZWv1ejOGQs0NrnE5ME9NEa7TGGB6ZZyIYg21j21hXH1IrrXnWGEQwz94lZ+aZZXGIoBR6JyWvq5Vt84sWwd0d57PX5My6UopDBMvCPJOzd7m7ozUviqA11tWrzmcuF7+TCPadWv1ezDP77jBNtOYQ4ZEIWqMUSiGCWtl31pWcPRJBSg45s++kxDTRmp9MBK0xTdzfUytzDp9+Pr749H1KSRJq5XplnmmNaaI1b0qJCM+KoDVKYV1ZV1Ly4ObGq1KiVnpn36nVYZpojQgi6J1a/eQiWBbmmXl2qJXeuV7pnXX1oDVOJ6aJZaE15pnWaI3efdg8E8EYHomgNdbVh9RKBNvGsrCupORtKZEz2+YXawxyJmdvyZl1pRTu70mJWr1brWwbEZ6IYFmolZy9KiW2zbtE0BqlEEGtpMQ8U4rfq5Sold4Zg1KIcFgWpolSHGpl31lXcvYhtdI7YzBNjOFZEaTkVREsC6UQQe/0Ts7+Rko+/Tx88en7FeFv1cq+0zsRTBOt+ZAIWqMUh30nZ8+K8C4pMc/Uyt0dEaTEGET4yUWwLORMrZzPnkiJnKmVWumd65XeOZ8dto0xHFqjNSJ8SK205pExHHL2bhFsm8OykJKPub3l/t4v1v09tXqPCCKI4O6OlBjDh8wzrXni/p6UmGdvypmUiPCiCFqjFIfeWVdSIiVq5faWUvzepUTvpMQY3N2REuvKvlMrOXuXMUjJEynRO+tKKbTmia9fSckTEWwbpVAKKbHvrCs5+/Qz9cWn71NKRPhtKbGu9O5wOtEaER5Jia9fPYhgWRiD3qnVi1IiwrtFUApjsK6kxLpSCq35yUSwLORMrQ7zzLZ5l5SYZ25vSYmUmGdScpgmpolloTUivGqeiWAMhwhao1avimDbWBZOJ0rhciFnUiIlWmOaaI3WvG6eiWAMvzgRRJCzl0SwbZRCKVwu5EzODq1xOjFNtMYYXrWubBsRHmwb28a6erecGcMTESwLpTjsO7WSksPlQs4O88ztLdPk9641xnCYZ7bNh0U4pORFOXO9OkwTrXkQ4ZEIWqMUWuP2ln2nVs+LICWffh6++PR9SslrUqJW9t1hmpgmts0jEbRGKeRM76TkVSkR4V1aoxRypndScsiZfWcMSvE7i2BZyJlaPZISY3iXCJaFnJlnh1qpleuV3knJYZqYJpaF1jyrVlpzuL8nZ3L2SATbxrJwOlEKlwvnM72z76wrt7cOtdI7vTuMwenENNGa580z9/d+cVpjnv22CLaNUiiFy4XbW/addaVWIqiV3tl31tWhNaaJUmiNMTwxz7TmEEFr9O5DzmcuFw+2jVIohZTYd2r1xBjc3Hgwz6wr08QY3hRBSt4tgtbYNnonZ25v6Z1loRQivFtK3qVWemcMpokxiODmhgiWhVKIYF3Zd+bZ6yJIyaefhy8+fd8ivCYlauV6ZZ5pjWliDMZgWRz2nVq9S0reFEFrbBu9U6tDhAcp0Ts5M02M4ZtEcH9PztTqiZy5XLwpgmUhZ2rl5oYIj6RErdTK9UrvpORwOjFNtEZrDvNMBNvGtlErEWwby8I0UQqXC+czvbPvrCvzTM4eRJCSBylRK72z78wzEZxOTBOtEeFv1Mq2+UWJYAxub/21CFqjFErhcuH2ln1nXZlnD1IiwoOUyJla6Z3eub11KIVpYllozWFd2TbGYFlYV1LyIfPMtrFtlEJr3N6y79TqVSl5JGfWlWVhDD+ZCJbFYd9JiZSIICX2nZyZJlrzpghS8m4p0Tu1UgoRtEYppMS+s67k7G0RpOTTz8cXn75fKfmIWtl31pUIxiDCN0mJCM8ag2Vx2HdS8khKHqmV3mmNZfEhEdzfO9TqWeczEV4VwbKQM7V6EOFVKVErtXK90rvDGJxOTBMpsSxEsCyUwuXC+cy6su+sK/NMzr5JStTKunK9sq4O08Q00RqRZ7bNL8YYQtLuk1IohQhqZd9ZV+bZN0mJeaZWrld6JyXG4HRimkiJUogggm2jNVqjNZaFZWFZKIVSKIVSmCamyaE1bm/Zd+bZm8YgZ0/kzLqyLIzhd9YapZAztXpRrew7EUwTY/jJRLBtXC6kRAQRrCu1+vQH7otP37cIHzEGrZESKTHPjMHpRCm05ptF0BrLwrpSq3dLid5JiWliDG+K4P7eoVYvmme2zYsiWBZyplYPcibCh6RErfTO9cq6EuFBzuw768o8k7N3i/BuOVMr1yu9E8EybmnNL0IE9/eWqCKolX1nXcnZTy4laqV3rlfWlQgPLhcuF4+cz5zPnM/c3lIrtVIrvVMrKRFBSt4lgpS8KGd6pxTG8E0iaI1to3dq9aaUWFfWlWWhFM+6XMjZqyLYNpaFaaI1zmd6d+idUmjNx0SQkk8/H198+n7lTIT3iKA1loV1pXciqJXe2XdyZgxOJ0qhNS9KiQgPIijFYd9JybO+fiUlL6qVdaUUWvOq+3uHWr0pJSI8EcGykDO1eiQlInyzCFpjnkmJdWXbKMU3+fqVlHzYGIyBnLWYKcV37/7eNpIhG8M3SYkIHxJBaywLOZMzKZES60qt1EqtzDPzzDwzz+RMzuRMSnz9yjzTO8vCGN4UQUpelRL7TimM4YmvX70oglIc9p2UPJESX796Vs7sOzlzOtGad4lgDJaFaaI1UmLf2Xfm2SElcmbfGYNSiPDpD9QXn37xIijFYd9JySElIhxSolZ6Z9/JmTE4nSiF1jySEhFE0BqlsK7U6neWM/vOGJRChCdaI4JavUvOjOGRCJaF21tq9ayUiPBhESwLOVOrQ87sOzlzOtGaD0vJu0VQCq2xruSMu+owhu/WtrFtvt6t7u5YV5aFUojwe7NtLIvDvlOrQ++MwbL4kDE4n8mZdWVZvOlyIWdvSol9pzXG8ERKnmiNUphnavU7qZV9ZwymiTEcIri58SCC1pgmloWU6J19p1ZS8iCClBxSondub5kmts3bLhdy9unn44tP36/zmcvFa1qjFOaZWj2SM2N4IiVqpXf2nZwZg9OJUmjN4XKhFId9J2c/mZTondtbSmHbPGiNCNbVu53PXC4eRLAs1Mo8+0ltG6Vwe0utDikR4VAr+04E08QY3iXCu0TQGqWQM/tOzozB+Yx1pRTG8N2JoDV6d3NDBDmz7+TMNNGad0mJCG+KoBRaY12p1RO9O5TiXcYggpwdcmZdmSavGoObG++SEutKa2ybF0XQGttG79TqVTc3RHhTSvTOurIsLAsRDq0xTZTi0Dv7Tq3k7FmXCzl7ZJ7Zd+7vKcXrInz6efni0y9SBMvCGPROrZ719atXpUSt9M6+kzNjsG1sm0Ot3i2CmxvvNs/0zv09y8IYRLCuPmSe2TaHCJaFWsnZq3JmDO/WGq3RO/PsRSmxrqwry0IpRHjTzY0XRdAapTjsO7V6EOFvpETvLIvvSgTLwrqSkpzZNg9qZd8dponWvColIrwogtYohZzZd1LyonUlZ0rxpsuFefZIztRKKV6VkndLid65v6c1T0RQisO+k5KfXM70zhiMQWsO68q+Uys5e1MENzeeSIneyZlpYgzPi+B89unn44tP36+UGMNv2zaWhZTonZQ863wmwrulxO0tOTukREqcTpRCa35yEYxBSg4RbBvTRCksC63RGtvGGER4VkqMwbJQKzn7yUTQGmOw76TkkZSI8ETO7Ds5M0205kURpOSJCFpjWYigd2r1SIRDzv5GzswzpfhutEbO5OyvpeQQ4UFK1ErvjME0EeHDIiiFCHqnVk9EkJJHauX2lmkiwrMiuLvjfPbEPHN7SymeiGAMcvZhvTMGy+JBa5TCPFOrn1wEY7AslEJKpERKRJCzD4kgJS+qlXVlWWjNpz8AX3z6fuVMhL8VQWu0xrpSqzdFeLcISnG4Xomgd/adnBmD04lSaM2HRRDBtrEsnE6UwuVCSg4psa70Tq2czx5cLrRGKZxOnE5ME6WwLA6lUCs5e5eUuFy8KoJSHHr3TWpl3x2miW3zLhGUwrZRK+tKSp6I8FStDq35g9caEdTqN6XEGJ5Iid6ZZ6aJ1rxLBK1RCvPMupKSD5ln1pVSGMMTEaREzp41z6REKZ5IyTfrnQi2jW1j2+idWn1ISkR4UQStUQrLQkrsO7U69E5KTBNjeLcxSMmrcqZ3xmCaiPB/jUHOPv18fPHp+5YSESIoxWHfScmb5pkxvEtrlMI8U6tDSkSQErXSO/tOzozB6UQptOZBBCk5RBDBtlEK00QpXC6cz/TOvrOu3NyQM+tKa6REzswztVIr60rv7DvXK/tO79TK+ezBstCad7m58aoIloV5plYvSomvX70qJWqld+7vmSYiPIggJYcIloVSqJV9J2cvulxIyVO9s22M4Q9Wa4zBuvptOXtVrey7wzTRmgcp8fWrB9vGsjjsO7X6ZjmzrpTCGB65v2eevWpdSYlSPIggJR8SQQTbxrI4RBDhsCy0xrYxhneL8EgE28ayUAoRrCv7Tq0epORQK+tKKWybN0WQEil5U0r0zroyTbSGCFLy6efli0/fvdYohVqp1YdFeFEErbFt9E6tHuTMGB5JiVrpnX0nZ8bgdKIUIri/pxSmiVK4XLi95Xpl31lX5pmcHSJojVrzmoR6AAAgAElEQVTJmZTYNm9KiZTImXkmgt7pnTGYJlrzqpSI8KzWKIV1pVY/mZTonXlmmmjNIYIIWqMUUmLfmWdviiBnz+ud1lgWf1AiaI1tY11JyW87n7lcvColaqV3xmCaGMMhgghKoTXWlVq9y9evpORFObPvlMIYDhFsG+ezN62rw7I4XC7k7FURbBvLQilME6VwuXA+c3tLSg7ryu2tw/09pXA6MU0sC60xBhEeScmDCFqjFFojJfaddSVnj1wu5OxBzuw79/csi1dFkJIPyZl9ZwyWEj79/Hzx6fuWs9iGnJlnH5aSF0VQisO+k5JHzmcuFy9KiVrpnX0nJSKI4PaW65V9Z12ZZy8ag5zJ2aFWlsWHjEFK5ExK9E7vjME00ZpnpUSERyJojW2jd1LyppsbInxIrey7wzQ5LIvDvlOrd4vgfPa8lOjdYZqI8LMXQSkO+05KnpMSY3iXlOiddWVZuLtjDEohZ/adlPykUmLfaY1tI4KUyNm79E4ErTEGNzceRDAGrVEKpxOlcLmQErVyvbLvrCvz7JAS88z9PfNMrfTO9cq+0zvns0NrTBOnE9PEsnB/TwSlUAoRrCv7Tq1eNAbns0dSondSYpoYw7MifFgEY5ASEUjJp5+XLz5931JS80VKnE5ME60R4V1yZgxPjEEpzDO1elbObJt3G4PeGYN59i4RtMbtrQc5M8+05t0uF3L2SEr0Tu+MwTTRmkdSIsKDCO7vHfadlPxepcTNjScifMgYpOR160qtlMIYfrbGYFmYZ2r1mpyJ8CEpMc8OEeRMrX5vUqJ37u8phZwZgzEYgzEYgzEYgzEYgzEYg1rZNiK4XFgWSqEUWiOC21t6Z99ZV2olZ0/c31Mr68q2EeGRlEiJeaZWeud6Zd9ZV1IiwiGCfWddydmbIkjJs2plXSmF1jzx9Ss5e1ME28ayME20Rkqs84Wcffp5+eLT9+3mRkrUyvXKujpME9NEa0R4UUpcLh5E0BrLQu/U6kUpkRIRXrVtlELv5Mw8syzeZQxyJmePrCt3d0R4lzG4vfWslOid3hmDaaI1D1IigghKcajVh0X4kAhKoTXW1aF3h2limtg2b4ogJVLytnmmd5aF1vysRNAay8K6Uqv3SIkIb4qgNUohgrs7ciaCaWIMHxLBzY13iSBnhzFojdZojdZojdZojdZojdZojdYcIojgfKZW9p3eWVfmmZy9agwiyNlhnmnNu6REztTqcHfHPDNNRHhThENKXpQz+84YlOKRMTifPSuCbaMUSuH+nvOZ65V9p1ZSDM5nn35evvj0fcuZbfO3cqZWrld6d5gmponWiPDIzY0HESyLw76TkjflzBhetG20Ru+k5LCubBsRXhVBa9zeetbdHa15UwQR5OxVKdE7vTMG00RrDhGUwjxTqw9LybtF0BqlkDP7Ts6k5FAr1yvzTGtME615UQQpeb+U2HfGoBQi/P8ugtaIYN9JyXvlzBheNAalUIpD76wrNzekRO+sK8tCKX5y28ayOKwrOdM7vdM7vdM7vdM7vdM7vdM760pKzLPDPJOzD7u/Z549WFe2jQjvFsG2cT5TK+vKNDGGV0WQkjelRO/kzDQxhmdFsG2UQilcLtzesu/0zjx7LMKnn58v/oD8xV/8hV//+td+/PFH7/EXf/EXfv3rX/vxxx/9tv/+3/+7X//61/7zf/7PvmspOUT4bSlRK9crvTtME9NEa0SQEmMQwbKQM7V6t5S4XDyrNVqjd1LyyN0drXnV/T05k7Nn1coYjOFVEaTk3VKid3pnDCIohXWlVt8kJSK8KoLWKMVh36nVi2pl3+nd4XRimtg2j1wu5OxFEUSwbSwLpXA6cRpdG5lpYprYNv9PRbBtlCKmom3JaVtNE6XQGmN40/nM5eKRCLaNUlgWcmbfqZWUPJEz+07OTBOt+Z1F0BqtUSu1OmybD2mNnFlXh23zYRGMwfnskXmmNe8WQc7k7JAz+05rLIsXXS7k7N1qZV0phdYYg5RojVIohcuF21v2nXVlnj0vwiFnn35evvgD8ed//uf+6I/+yK9+9St//Md/7E//9E+95s///M/90R/9kV/96lf++I//2J/+6Z/6W//m3/wb/+pf/Su/+tWvtNb8y3/5L/2v//W/fLdSYgyvSYlauV7p3WGaWBYimCbWlVp9yM2NZ7XGttE7KXmiVsZgDM+KYNuo1atqpTWvao2cfdgYRJASOVMK00RrbJsPi/CibaMUIuidWj2REhGeSIla2XfmmdaYJlpzGIPz2SGCbWPbWBZKoRRK4XLhfKZW9p115U51cmWeaY1pojW/VxG0Rim0xu2tJe+2VK0rvZOzQ2ucTkwTy0JrjOFFEbRGKdzfUyv7Tq3epVZ6ZwymiTG8KIKUPKs1SnHYd3J2mGdSIsK7/G/24N/VliwvHPZzDoIgBoOIYNSrRGiFiRQVB3SvCgRTwWQM3FVGKhoLBq6zQAMdhS8oiFGtnQjCIIh/QK0tzgRmoiBXg/pcBMVIQYyk57xvl3jePu/5tc+d+UL39H2e1oigFLtSmGev1jspkbN7loXWiHCRWinFPSmxrqTEMNC7B3r3ailxc8PNjd04EkEpbBvLwjR5WQQpee/T59pnwEcffaSU4nQ6+cpXvuKrX/2qZVlEhMd89NFHSilOp5OvfOUrvvrVr1qWRUT4h3/4B3/2Z3/mz//8z33lK1/xF3/xF/7zP//TX/7lX/q2lbPXSIlS2DZytkuJYWAYqJXeXWSaaM09tdIa20ZKnlQKtXpUreRMSp41TUTQu0dF0DuHg4tFMI7UyrIwTeTM7S3ranc6cXXFMFArEZ6VkkdFMI7UyrKwLKTkUSkR4UkpUQrbxrraXV3RO/PM1RXjyOnE+czhQClsG9vGsjBN5GxXK+tKSsSxsG2sq93VFfNM775lIphnxpEIloVt09MkgnVlnkmJUiiFdeX2lnUlJbtaubpiGKiVt29pjVoZRyJYFtaVnL1aSqwry8I8M88uFsE40hrrSikeyJnevSiCWlkWd3JmmqjVq5xOlOJR00StXhRBBDl7VCksC+NIax44HDwrgt6plXFkHOmdnEnJblnI2eucz6TkvU+fa58Bf/VXf+ULX/iCH/zBH/Sx7/me7/HTP/3T/vqv/9pj/uqv/soXvvAFP/iDP+hj3/M93+Onf/qn/fVf/7UvfOEL/uRP/sQXvvAF/2sYBv/yL//i29bhwPnsNSKolZSYJnJm21gWu1q5umIYqJXePSklIuxqpTW2zYumya5390TQO6W4SCnU6lERpETOXhRBrYwjObNt5MwHHxBhlxKlsK5sG6XYDQPDQK307kUR1Mo4kjPbRs6+ZVLieGSaSIlpYtvYNtaVZWGayNmjaiVnciZnavU/UqIUto2UmGeGgWFgnqmV1ujdoyLondaolXlmHBlHxpGU2DaWhZx97HRimkiJaWKePZASpVAK68q2sa52vdtFsK4sCzn7puXMtpESw0CtnhRBrYwjObNtpORRhwPns2dFMI4sCym5Z1m4uSHCRSKIIGePWhZaI8KzTidy9qyc2TZOJ+bZLoLeydk9EfROrYwj48g8E0EpbBvrSs5ME6UwDPTudSJIyXufPtc+A/7jP/7DD/3QD/mk7/7u7/aP//iPHvMf//EffuiHfsgnffd3f7d//Md/9P3f//2+9KUv+V9v3761rquf+Zmf8ZwPP/zQhx9+6MMPP/SHf/iHPnMiXCqCcSQlSuFwsEuJnCmFdWXbWBa7Wrm6Yhiold7dyZneqZUIts3FSqFW99RKzqTkItNk17sHzmemybMiqJV5tts2SnFPhAdSYpoohdtb1tWuVoaBcaRWd1Kid2plHO22jVJcJCXevnWRCE4nUqIUeiclF4mgd5bF7nCgNfelRClsG+vKsnA42J3P1MrVFVdXDAPjyNUV40itnM9EcDhQCsvCtlGKT4qgNQ4Hu2WhNXr3rJRIiVI4HpkmIojwLVcK60rvDAO9uyeCeaZ31pVSPGuaaI0IT6qVaSJnj7q5YZ5d5HQiZ8+aJmr1pAh653j0opRYV1JiGOidlIgggloZR4aBeSaCUtg2to1lIWd3eudwYJpYFuaZ3l0ugsPBZ8kf/uEf+vDDD3344Yc+/PBD366ufQZ89NFHrq+vfdL19bVvfOMbHvPRRx+5vr72SdfX177xjW/4pH/7t38zTZNf/dVf9cM//MOe8+bNG2/evPHmzRu//uu/7jNlmujdJSKYZ6aJUuymidaIcE9K5EwprCvbxrLY1crVFcNABLXSO8viVXK2a80ugt4pxauUwjx7oHcOB0+KYJ5pjWWhFA/kTIQXpUQprCvrSs5EcHXFMBBBrUSwrpTiVT74gAgviuB0siuFaSKC3l1kninFnWkiJSI8LiVyZpoohWVhXbm9VafNEKuxF/N0y7axriwLy8I0kTMpeUwEOZOzO8tCrS4SQa0cjywL80zvvuVSYl1ZFsaRWongdGIcyZl1JSUXyZnePao1eqcUTyqFCHr3rAha43j0rGWhNSI8KoIIcnaxUiiFeSaCYWAcieB45PaWbWNZyNmjIoggZ7ucWVfGkd69LILeydlnya//+q978+aNN2/eePPmjW9X1z6Ffvu3f9uP/MiP+JEf+RE/9VM/5Tu/8zt99NFHPukb3/iG7/iO7/CY7/zO7/TRRx/5pG984xu+4zu+w//6u7/7Oz/3cz/nF3/xF/3Kr/yKb3sp0bvn9M44UgqluGea6N2zUiJnSmFd2TZKIYIIeufqimFgnqmV1ujds0phnu1qJWdS8io5kxKtuRNBBDl7IIJaGUdyZttIyaNSIsKrpEQpLAvbRs52vZMSKfm/5nQiglLcKYXTyYtaI4Jpck/O9O5iEdRKSKabJN9kEYyjV6mVnN0zTUTQuxf1TkrkTEqsK+NI71709i0peZWcub0lgghaoxRK8SrHI+ezByKolXX1omWhVs+KICVy9qKbG2r1qFopxcUiqJVa3bm5YdtYFqbJRSI8kBLbRq3U6nkRpOS9T6drn0K/8Au/4I/+6I/80R/9kT/4gz/wfd/3ff7+7//eJ/37v/+7H/3RH/WY7/u+7/P3f//3Punf//3f/eiP/qiPff3rX/dLv/RLbm5uzPPscyFnIjylVuaZdSVnDxwOnM9e7XRimsiZZWHbWFcOB7vTiVq5umIYGEdqpVZ6t8uZnJlnemdZvJNlYZ7diSAl90RQK+Not22U4iIRXq135pmUyJllsRsGavVqEZ5VKxEsi3umidaI8KQIamVZPHA4cDq5SASnk92yuLOu5Mw4ukgEERwOHiiFWr3odKIUd1Ji2xhHevctF0Gt9E5K5EytDAO1EuEi00Rr7olgnimFlLwoZ7vWPKlWjkcXKYXWiHBPBBFMkxdFUCvjSATLwjRxc0PvzLNXOZ+ZJg+kxLrSO/Psaecz0+S9T6drn0I/8AM/4Etf+pIvfelLfvzHf9yP/diP+dj5fPaxf/qnf/L1r3/dT/7kT/pff/u3f+tf//VffezHfuzHfOx8PvvYP/3TP/n617/uJ3/yJ/3zP/+zX/u1X/N7v/d7xnH03//93/77v//bRx995Nva4cD57DG10hrrSkoeNU205mIRzDM5UwrHI+czKZES00QprCvryu0t60op7tTK1RXDQO+0Ztc7EV4tJaaJWu1qJWd3emcciWBdKcXFUvIqEdTKPFMKpZCSXSmsK70zDPTuIil5Vq1EsCweNU3U6km9kzM5e2CaiCDCsyKYZ7tSPFAKxyPDQIRnRZASOXtgmuxa86TeiSBn96TEtjGO9O5bJoJxJIJ1JWdyZttYV7txZBiolQjPSone3TmdSIlpcrFSmGePiiCCaXKxmxtqdU/vpORZEcwz42i3riwLORPB4cC62o2ji/XO4eBJ62o3jh7XO4eD9z6drn0GXF9f+/3f/32/+Zu/6Xg8+vKXv+x3f/d3fe/3fq//9X/+z//xta99zceur6/9/u//vt/8zd90PB59+ctf9ru/+7u+93u/15/+6Z/6r//6L7/8y7/si1/8oi9+8Yu++MUv+p3f+R3f1qaJ1nxSBLUSwbaRkmelRIQXRTDP5EwpdtNEa56VEjlTCqWwrtzesizkbJcStTIMXF0xDMwztdIavXvWsnBzQ+/0zuFABPPMPLMsLAspeZWUiHCRCMbRbtvI2QMpsa4sC/PMOBLhWSkR4VG1EsGyeFIptOZREdRKKZ6UM717UgTzTM6U4knTxLIwjvTuSbVyPHpSKcyzJ9VKKR6VEuvKPNO7b0oEtTKOTBPLQkocDkTYpUQpbBvrajcMDAO1EuGBnDmd7FqjNZbFq+TMNDHPHuidnL1KKbRGhDunE6V4VGuMI+NISmwbpZCSOxHuLAs5MwwuEuFFy0LODIOHevfep9e1z4if+Imf8LWvfc0f//Ef+5u/+Rs/+7M/65OWZfHzP//z/tdP/MRP+NrXvuaP//iP/c3f/I2f/dmf9bHf+I3f8ObNG2/evPHmzRtv3rzx5s0bv/Vbv+XbXkpE+FgE82y3LC6SM6eTZ0UwjpRCKe7Jmda8SgTzTM4si926cnvLtrGuHA52pxPzzNUVw8A4Uiu10rs7NzfMs935zDiSEttGzt5JSkR4Ua2MI9NEKR54+9Y9ObNt5MwwUKsnpUSEB2olgmXxrJTImdY8UCs5k5InHQ6czx4VwTyTM6V4Uc4sC+NI7x6IIIJp8qScmSZq9UAEEUyTJ+XMsjDP9O6dRDDP9M66Uoo7OdOaB1KiFG5vWVe7YWAYqNWdw4EIIqiVdfVOloXWiHDP6cTx6NVubqjVrnciyNmdCFpjHKmVnNk2SvGoCHJ2pxSWhWGgd0+KsMvZi0phWRgGevc/IkiJnL336XTtM+a7vuu7XF9fu9R3fdd3ub6+9t7/K2d6F8E8kzOluNjhQIQntcY4sq7k7IHjkfPZxSKYZ6aJUpgmIujdLiVSYpoohXVl27i9ZV05Hu0iqJWrK4aB3olwZ10pxTft7VtPimAc6Z11pRQPpORJpbBtdsNArS5SKxEsi4scj5xO7omgd5bFs6aJ1ohwTwTzTCmU4mI5s23MM625p3dS8qJl4eaGCPfUyjR5Uc4sC/Ps1WplHMmZdSUl96RkF+FJKVEKt7csi93VFcPA27f0zjhSCil5Z8vCPLvTOxHk7NVKoTUiOJ2YJrsIamUcqZVS2DZK8aQIUvJAziwL40jvHhVBSi6WM8vCONI7eicl7316XXvv8+NwEKezeSZnSvEq00RrRHigVmplXUnJo6aJ1ojwoloZR5aFUtzJmdPJi1JimiiFZWFdub1lXTke7VLi5oZxpFZq9c4OByI8qlbGkZxZV1LyqA8+IMKTUqIU1pXeGQZac09KRNjVSgTL4mLTRAS9uzPPlOIi00Tv7rTGOLIs5OzVUmJdOZ2o1Z3TiVJc5OaGWt2JoHdKcZGcWRaGwUUiGEdaY10pxZNSoncXyZlSuL1lmoiwi+B8plZao3evNk12vdvVyjR5Zzc3zDO988EH1Mo4EsGysG3k7EURpORRObNtzDOteeB8JmevkjPbRq1EPZGz9z69rr33+ZGS1JsIu9a82jTRuzsR1EprbBspedY00btn1UprrCspuacUWvNNqZVtI4LbW9bVrneurhgGaqV335QIaqU11pVSfEukxLqyrtTKMNC7e2olgmXxaqVwOtm1RgTT5CKHA+ezXa3UyrqSkneWEutK78wzEUSQs4uUQu/0bnc6kbNXyZllYRg8q1bGkZzZNlLyrJx5+9arlUJKpETOpGR3OjHPXF0xDIwjtVIrvXtWKcwzEURwPHq1CCI4HOidCGq1W1eWhZx9y6TEunI6Uat7eudwcJEIeqc1aqV3InA4eO/T69p7nx85k5KlhI+dTlxdMQyMI7XSu2cdDpzPdhGcTkSwbS5yOHA+e1QEtRLBtpGSB1IiZ1rzahGMI+tKSuRMa6REKawrt7esq12tXF0xDNRK756UEhHuRDDPdttGSr7lUmLbmCbGkVpJiXkmgmXxTqaJ1uidWlkWF5smWmOeaY11JSXfEutqN452ES5WCrUSQWscj14tZ5aFcfRABLXSGutKKS5yOBDh1WqlNUohJUqhFNaVbeP2lnXleLSLoFaurhgGhoF5plZ6p3dyJiXmmZRIyS6CCHqnd1qjVuaZeWYcGQaurhgGxpF59kBKXu18JmfPSol1pXfG0S6C3snZoyJojXlmHBlH5pnzmcOBdQk5BTl779Pr2nufLznLulJYV25vWVeOR7taubpiGJhnaqV3d6aJ1ohgnu2WxcWmidaIcE8E42i3LJ51PHI+e5UI5pllISW745HTyQMpUQrryraxLHa1MgyMI7XSuzsp0TsR1Mo4UgqluFhKRHi1Utg2WqN3eieCcWSemWdqpVZqpTVao3d6p3ciiHBnmphnciYlIoigd1qjNVqjVuaZeWaeGUdSojW2jZR8S6VEhN04cnXFMDAMjCO1Uiut0TsRdtNkVyspkbN3kjPHI+PoTq2Mo922kZKL5UxrXqVWWmPbmCZa86iUmCZKYVlYV25vWVeWhZTsamUcubqid3ongmHg6ophYByZZ2rlfCaCw4HDgVJYFraN21u2jWUhJbtlsbu6YhxpzcUiXGxdSYlxJIKU7CLondaYZ66uGEfOZ1KiFLaNbWNZmCby2xMpee/T7dp7ny+HA+ezT0qJaaIU1pXbW9aVlOzmmasrhoFaSYlxJGdK8WrTRO/uRDDPTBOleNE00RoRLhLBPFMKObszTUQQ4UkpkTOlsK6sK8ej3TgyDIwjp5PdONptGzn7vyqC1phnxtE9pXA8cjhwOLjnfOZ8plZqpVbGkXHk6oqrK1ojgtYYR8aRcaRWTifOZ85nu8OBw4HDgVLsUmIY6N23RAS10ho3N+TMtnF7y7qyLByP7pzP1MowcHXFMNA7rdnNM/NMrdRKrdRKrdRKa7RGa7RGa/RO76REStzc0Bqtsa6U4tVSsotwkdZojW1zJyUiXCwlcqYUSmFdub1lXUnJnWVh27i9ZdvYNtaVZWFZmCamiZzJmZTcqZVlYZo4nSiFbSNnTieGgVrp3bMiOBxcbFnImXEkgnFkHJlnzmcOB9aVbWNZKIWcPdQ7pXjv0+3ae58v00RrXpISpVAK28a2sSxEEGF3c8MwMAzMM7XSGr171uHA6WRXK+PIslCKi00TvXtRBPNMzuTsgZyp1cVSYpoohdtb1pWcibCLIIJa6d2rpESEF0VQK8NAraTEurIs5EzOnM9ME9PENFEKpVAKy8KysK6sK+vKtrFt3N5ye8s02U0T28a2sW2sK+vKsrAslMI0MU1MEynZbRvLwjhSq29KBPNst22UQmvupETOTBOlUArLwrpye8vtLetKznYpcThwOHjS+cz5zPnM+cz5TK3USq30bhfBNJGSd5YSvXtRa9TKuronJXr3ziKolXlmmsiZlOxS8mq9E0HOLAut2aVEKawr62o3zwwDtRLh1SLonVoZR66uaM2dUtg2to1lYZrI2fMiiCBn7326XXvv8ydnWvMaKZESEeRMBLe3rCvLwuFgdz5TK1dXXF0xDIwjtVIrvZMSEcwzrbGupORVDgdOJ8+KYJ7JmVI8allozTtLieORCHImZ1KyG0eGgXGkVnr3ogiPiqBWxpFxtFtXto1SSIlayZll4eaGCO8kgt7ZNnqndxeLICW7nNk2emcYiPAqEdTKOFIKpbiTEr27WO9EsCxEME1ME6VQCqVQCqVQCsvCsrAsLAvLwrqyrqwr00RK7gwDtXonOfP2rWdFUCvrSkruSck7i2Ce7baN3imFZWEcifBqtVKKO9NEre5JiVLYNtbVbhgYBmp1p3dytosggtaYZ8aRcaRWIjgeWVfWlZRYV2r1ehGk5L1Pv2vvff4cj5zPXiOCeSZn1pWUiCAlcmaaKIVlYV25vWXbWFdKcadWxpEIWmOavJNpIoIIj4pgnsmZUjwrZ1rzzk4ncmZdieBwoBRub1lXcrabZ4aBcaRWendPSu6JoDXGkXEkglLYNkohZ3ci6J3DgZS4uaFW76RWciYlSqFWF6uVnN1JiXWlFIaBWj0QwQcfuCeCebbbNnJ2T86czy4SQa2sK9NEBL17Z73TGttGShyPrKvd1RW1epXDgQhPimAcWVdS8sDhwPnsVSKolXGkFEohgghyJiVubphnr9I7EUyTO8cjNzeelBKlcHtLKURwdUWtdvPMODIMjCPnM4cDpbBtrCvLwjSRM6cTOZMzOTOOXud8Jmfvffpde+/zJ2dac6kI5pmcKcUuZ2r1rJRIiZwphVJYV25uSImc7YaBYaBWIlwsZ2r1QATzTM6U4kXHI+ezd9IarVGKXSmcTu6kRCmUwraxrhyPdrVydcUwUCu927XGPDOOnM8cj2wby0LOHhVBzuRsVwq907tXiaB3lsVumuxac5EIDgcPTBPbRu+MIxGeVCvjSM6U4lGHAxFeFME8syykZFcKp5N3EkGtLItdztRKSpTCttldXVErEV6UEq15VATzzLKQkkelRO8uFsE42m0bOdtFkJI7pdi15mK1Uop7ciZnWvOiaWJZ2DZ6d6cUbm/ZNpaFaSJnj+qd49GuFFJiHF2udw4H7336XXvv8yclUiLCSyKYZ3KmFHcOB1rzarUSwbrSO6Vwe8u62g0Dw0Ct9O5ZxyOtuSeCWsmZUlxkmuidCK8SQa2sqzvTRGtEeFRKTBOlsK5sG8tiN892tXI4sG0sC9PkRbVyPLqnFGr1KrWSs3uWhXn2ogi7nD0qJdaVnBlHanVPBLXSGutKKZ40TbTmWRHMMzmTszvTRO9EeLV5JmdytjscaM2dlCiFbbMbBmolwpNytotwTwTzTCnk7Ek5E+FFEdTKODJNlOKeWjke3bMszDO9e1HvRDBNHiiFWr1KBMtC7+TsIr0TQc7uLItdrV4WQQQ5e+/T79p7n6OstIcAACAASURBVE85czp5TgTzTM6U4p5pIiUiXKxWIlgWUiIlIuxSohRub1lXu3lmGKiV3j2QMynRu10EpxMpUYpXyZlaXSyCeWZZSMk9NzfU6iIpkTOlkDPTZDdNLhZBBNPknmmya81FIuidZXFPStzcMM+edTqRkheVwrrSO+No9/Yt42i3baTkRSnRmiedTqREKR6YJmr1Kq3ZleLONJESEe5JiVLYNrthoFYiPColencngnkmZ3L2opSI8KQIxtFu2yjFPRH0Ts7uSYl1pVYvqpVSPCpnUqI1L4pgnimFaWKaGEcXOZ2YJg+sK73TmuedTuTsvc+Ga+99Ph0O3Nx4SgS1kjOleFTO1OoitRLBsriTM717ICVKYdtYV7t5Zhiold7dKYXTye50IoJSvNrxSGsuEsE8kzM5e6AUWiPCxVqjd5aFaWIcXSyClDyqFObZRWplmjyqFHqnd0/qnVJcJCXWlZRojZsbpolSXCxnzmePao3WWBaPKoXWiHCRCGplWTyQM7V6VEqUwrbZDQPjSIR7cnYngnkmZ0pxkZzp3QMR1Mo4Mk2U4lER5ExKHsjZrlZPiiCCafKk45HTyYtOJ1JimuxKsavVsyLoncPBo9aV04nePa13jkfvfTZce+/zaZpIiQj/fxGcTqREKZ50PNKaF9VKBMvigbdvPSslSmHbWFe7eWYYqJWUaI1aiWBZvJOcyZnWvOh0IiVK8aSbG2p1kQhOJ5bFrhS7Wl2kVo5Hj8qZaWKePSuC3inFk0qhVo+KoHcXi6BWeiclcubmhlqJcJHDgQgPRFAr6+pZ08Tp5EURjCPLQkoeOBxozbNSohRub8mZYWAcibA7HDifiWCeyZlSXCwlzmf3RDDPRLCulOJJpxM5e9K60hq9e9Q8U4pnTZNd754UQWuU4p5l4eaG3j2pd1IiZ09aFuaZ3j0UQQQ5e++z4dp7n185U6tPiuB0sivFs3ImJXr3pFppjWXxwOFAhIulRClsG+tqN892rXE8+qYcj5zPntU7rbEsnlUKrRHhRbWSMzm7s670Tu+eFUEE0+RJy0Jr9O5J80wpnjVNdq15IIKUyNmLWmMcaY1lYZrImW2zG0eGgVo9a5ronQh3IphnloWUPOt45ObGi04nciZnj5omUiLCRUrh9pacGUeGgbdvaY15JmdK8SoffOCeWhlHcmZZSMmzWuNw8KxlYZ49EEEE0+RFxyO1elQE80wppOSelFhX5tmTTidK8ayUWFfGkd7ddzqRs/c+O6699/l1ONCaTzqd7EpxkZw5nTyqVlpj2zxqmmjNO4sgwi6CeWYYqJUIrzZNtEaER0UwzyyLi9zcUKtntUbvlOKBZWEc6d2TeiclL1oWavWoCCKYJi9aFubZA+czOXtWBONIrZTCtpEzH3xABClRCtvGuhLBMFArER6VM727Uys5k7MX5UzOtOZJrdEay+JZOdO7VymFbWOaaM2ud7taaY3e6Z0Iz8qZ1ohgHOmddaUUL+qdlMjZs3ImZ+bZPfNMKS4yTUTQuwdOJ1JimjwqZ6aJcfRABBHk7EUpsa7MM737//TO8ei9z45r731+TRMp0buP1UoEpbjY8UhrHqiV1tg2z0qJCBeLYBwZR1JiXcmZlFgW1tVuGBgGavUq00TvHohgnpkmcnaRUmiNCI+K4HRiWTwqJdaVefak04lSvGia7Hr3wDxTioukxM0N8+ye3jkePSqCWhlHcmbbmCbPSollYV3thoFhoDX3HI+cz3a12pXiYscjtXpUBLWyrl50OHA6eSfHIymREjm7cz5TK7UyjlxdcXXFMDAMjCPzzDxzOtmNIzmzrqTkIucz0+Qiy0IEvdtFEME0uVgpnE7uiaA1lsWzSrGr1T2nEzm7WM4sC/Psf/ROBDl777Pj2nufbzlzOqmVCJbFq+RMSvTuTq20xrZ5Uc707kWtMY6MIzmzbZRCrRyPlMLpREqUwu0t62p3dcUwUKsXHY/MswdOJ1KiFK8yTdTqUbWSMzl7Us5ME+PogQgiyNlFSmGe3RNBBNPkYqXQO73bRRBBzu6JoFbG0W7bKMWjIjwqJUrh9pZpolaGgVrdaY3eaY1l8SrTREr07p4I5plpIiUvmiYiiPAqEcwzOVMKKVEKpbAsrCvryrZxe8vtLevKulIKhwMpEUFKdsejV+mdw8HFSmGe7WolZ68yTbRGhF0E88yyuMi60hq9u9M7x6NXyZllYRxxPjNN3vtsufbe59vxSGta43gkwqvlzOlk1xqtsW0ukhLnsye1xjhSKzmzbZRiF0EE08Q00RoR7qREKdzeMk1EcHXFPNOaR+VMSvTuTmu0xrJ4tWWhNSLc0xq9U4oXlWJXq3t6JyUXy5mUqNWdeaYUr1YKtdpFkJI7EdTKONqtK6V4UkouUgrbxrraXV1xPtvNM8vinRyPnE7uOZ1IiVJcLGd6d7EI5pmcKYVpojUiPCslUiJnpolSOBzImWVhHOndRSKIIGcXy5lpYhzpnWXxajc31Gp3OpESObvYsjDPdr0TQc4uFkHvRNj1m87h4L3Plmvvfb7lTM6m1NXKOHJ1xTAwDIwj80yttEbvRLjneKQ1WqNW1tXFPviACPdE0BrjSK0cj2wbpbind1JyZ5ro3aNKYVnYNlLidGIYqJXe3VMKp5NdBLWyrt7ZNFGrOxHUyrK42LrSGr27czpRildZFm5uiKB3IpgmrzZNdq1xPpOzXWuMIxGsK6WQkmelRISLpUQpbJs7Ecwz80yt9O5i00Tv9G7XO62xLF7lcOB0cpHWGEeWhVLcmSZ69yoRnE4cj+TMujLP1OpFpxM5e5UIPviA3olgHJlnaqVWWqN3ev9/2IN/l/u2vDD8r/NBEMRCZGJ71w6SK4E0ihGFeNYmKfwDUmgInL1LAyZFOousZ0EaoxFFQaZa+zRWdlaCsNcRZyDTDZjiamC/LxJSBKIEUoU75/ud/XWezOPz6zzX8Uvu9Xm9PKsUloVlYVlozZvkzDQxjpzPTJMHIuidZWFZmGfGkWHgcGAcmWcuF7IupyBn775YPnj37nRS0tm6sm1cr6wr60oppGR3uVAr48jhwDAwDNRqN8/kTAS9u8k00btdBMvCOFIrpbBtTJMnnc+U4t7pxDx7UUqUwrqyrnbzzDBQKxFME8tC78wzrZGSz601loUIu3lmmsjZm7TGOBJBBBHk7E1S4u6OWqmVUnxurTHPLAsffcQ4Uiut0RopuVmENzuf6Z2cyZl1JSW7WjkcGAbGkVqpld49qRTOZyKolda82TQRQYQX1UqtrCspeeB4pFZvEkEEOdulxLbRO+PoRb1zOrlJBPPMMFArKdmdThyP7l0u1Mo8czhwODAMDAPjyDxTKykxz+TMsrAsLAvLwrKwLCwLy8KysCwsC8vCsvDRR0SwLPTOODKOHA6MI/PM5cLlwvFIKbTG9cq2sW20RlEpxbsvng/evZsmloUI35ESKZEzpVAKrbGubBvXK+vKunI62aVkVyu1cjhwODAMDAPjyDxTK7WyLPROSswz48jlQmtsGzl7VgQR5OxezuRM726SEqWwbayr3TAwDKTEPJMzOfsbmyZqZVmIoBRvljPryjzTOym5SQQRRNA7H31E7/RutywsC7VSK7VSK7VSK7VSK7VSK7VSK+czKRFBreTMtpGzN0nJm0RQK8vCunI6kRIpUQqlsK5cr6wrpdhFUCuHA8PAPFMrvZMzy8I4kjM5+1xypnfPqpVlYV1JySPTZNe7m9VKKR5ZV3JmGOjdIxFEkLNnRVAr48g4khLbRimkxN0d5zPTRCmUQmusK9vG9cr1yrqyrpTC8eiBCC4XLhcuFy4XLhcuFy4XLhcuFy4XLhcuFy4XLhf3UuJ0ohSuV7aNbaM1WmOayJmcPRRBBNPk3RfPB+/efds00bu3SMnufKY1u9OJdWVduV65XllX1pVSSMm985laiaB3WqM1cvaq85mcPXI6cT57s5QoheuV1ogggrs7DgcOB4aBYWAYGEfGkXlmnqmVWqmVZWFZ6J3e6Z1SWBbmmVKIIIIIIogggt7pnd7pnd7pnd7pnQgimGdSolbmmXlmnhlHxpFh4HDgcGAcGUfGkVo5n4mwu1y4XLhcfCFEMI5220ZKTBPL4kkpkTOl0BrryvXKunI82tXKMNhF2PXuczkeOZ89EkGtRLBtpORZOXM+u0kEEUyTJ5VCa4wjvXugd1LySATLwjgyjkRQCttGKaTE+UwplGLXuxelRErkzDRxOtm1RgSt0Rqt0Rqt0Rqt0Rqt0Rqt0RqtUYrd3R29M03k7G16J2fvvpg++AL58z//c3/4h3/ok08+cYs///M/94d/+Ic++eQTz/nmN7/pv//3/+7vvNOJefZW5zMpMU2UwvnskZRIiZwphVIohXXldCIlUnKzCHrndPLINNE7Ed4sglqZZ1IiJXLmeuV6ZV1ZV9aVUiiF45Hj0QOXC5cLtVIrtTKO7tXKODKOjCPjyDgyjtRKrdRKrdRKrdRKrZzPpGQXQQQpcTxyPFIKpbCubBvXK9vGtrFtrCutkRIpcTrRGq1RCqVQCqVQCqVQCqVQCqVQCqVwOtnlzDTZDQO1erOUiPCi3hlHpolSPJASEW6WEtNEKbTG3Z1dzna1cjgwDNRKrW4yTUQQ4V4E82zXmle1xrK4yflMzl6UM9tGrcyze+czpbgXQa0MA7VyOrFttEbO7kUQQc52rTGORLhZreTMNJES8+zNeiclSmGaGEdvdz5zOnn3xfTBF8Tv//7v+/mf/3l/8Ad/4Bd/8Rf95m/+ppf8/u//vp//+Z/3B3/wB37xF3/Rb/7mb/rr/st/+S/+5b/8l775zW/6Oy9nUqJ3t1oWloXW7KaJZSHCTSI4n2mN1hhHeveqCCLI2ZNyplZvEsE4EsG6khKt2dVqlxIpkRI5kzPTxDRRCqVQCq3RGuvKurKurCspkTOlsG1sG9vGtrFtbBvryrqyrqwr68q6sq6sK+tql7Nda5TCNDFN5EzOpERKnjTPlEIpnM8+t3mmFE4nIiiFdbUbBmr1PRFBrcwz60opHsmZ3r1ZBOez3fVK75TCunK9sq52vXM4MAzUSq1EeFLO9G4XwTyTM6W4Wc4sixdFcHfH6eRVKbGuduNIBBGkRK2MI+Not21sG9PkSeczObuXEnd3zLObRNA7rdmtKxH07mYR1EopdqXY1ep2vRNBzt59MX3wBfDZZ58ppTifz371V3/V7/3e72mtiQhP+eyzz5RSnM9nv/qrv+r3fu/3tNZEhO/43//7f/u3//bf+spXvuLdXymF89ktIqiVdfXA3R21ukmtpETOpMS6Ms9EeFGtTJNntcayuEkEtTKOTBOt2fVOzqwry0Lv/kZ6JyXWlfOZ3n0uvRPBuhJB794kggimiWliWYjwZstCBNPENLEsdilRCutqNwzU6lUpEeGRCGolgm0jJc/69FNvEsE42pVilxIR7qVEKawr1yvr6t4wMAyMI7XSu93xyOVCBPNMzpTiTU4nLhcv6p2cydnNWuN0YhyJYByJoBS2jVJIybMiuLvjdPJAKXa9e9U8U4oHSmGe3ax3ciZn99aVZaF3t6mVUrz74vrgC+CP/uiP/NAP/ZAf/dEf9W0//MM/7Gd/9mf98R//saf80R/9kR/6oR/yoz/6o77th3/4h/3sz/6sP/7jP/Ydv/7rv+6f/tN/6h/8g3/g3V+ZJpaFCC+JYJ4phZQ8UArLQoQX9U7vtOZezrTGPHtWBBGU4kU5syxeFME42m0bpdhFkJJ7rTGORPjczmdKsWuNcaR3bxJBrbRmVwrnszeplZzdmyZq9SYR1Epr7qVE7+6lRCmsq90wUKsXRXgggnkmJVrzouORCDeLYJ6ZJkpxL2d696yUKIVSuF5ZV3K2m2eGgfOZZWEcKYVSvNk0sSxedD5TijeJ4HIhwi5nWiNnN4kgZ3L2SGuMIxGe1TsRTJMHcmaaGEeviqBWTiePtMY8e10EEUyTd19cH3wB/OVf/qUf+7Ef891+8Ad/0J/+6Z96yl/+5V/6sR/7Md/tB3/wB/3pn/6pb/vGN77hP/2n/+Rf/+t/7VYff/yxjz/+2Mcff+y3fuu3fGlNE+ezl5zPpMQ0edLdHbV6VgS10ppHciZnxtGTeiclrzqdqNWTIqiVcaQ1SvHA5cI0uZcz68o8+1wiiCBnu5RYV+bZm/Rul7PdNNE7vbtJBL3TmnulsCze5HwmZ3J2L2fOZ4+kRCmsq90wUKtHUvJArYwjpxOleNU0sSxuEsE8kzOleOTTT90sJUqhFLaNdXUvgsuFCJ/LNLEsnhRBBDm7SQS1Mo6kxDTRGikxDNTqJrVyOnlSStzdMc+eVSuteVIpdsviRb2TMzl7JGemiXH0st7J2ZfVb/3Wb/n44499/PHHPv74Y19WH3wBfPbZZz58+OC7ffjwwbe+9S1P+eyzz3z48MF3+/Dhg29961v+5//8n/7dv/t3fv3Xf91bfPLJJz755BOffPKJX/qlX/KlVQp3d56zLCwLrXlWKSwLEZ7UOymRsyeVYlerR85nSvGqabLr3QPLwjzbbRs5e6R3jkcP5GxXqzc7n8nZAznTGuPoJhHUSikemCbOZzeplZw9kBLTxLK4SQTLQikeOB7p3bNSohTW1W4YqNUjEdTKsrCuTJObpUSEFy0L40hrlOKR45EIn0sE5zMRpERrdsNArUR4k+ORy8WTamWavCqCWhlHu3WlFCJIiVJYV3pnGIjwrAgimCbPKsWud48sCxHk7FmtMc/07kkR1EopnlWKXa2eFsE8czr5svqlX/oln3zyiU8++cQnn3ziy+qD/wv9+3//7/34j/+4H//xH/dP/sk/8f3f//0+++wz3+1b3/qW7/u+7/OU7//+7/fZZ5/5bt/61rd83/d9n//wH/6Df/gP/6FPP/3U5XLxP/7H//Cf//N/9sknn3j3/0qJnFkWf10EtbKuXjVN1OqRCGqlFC9aV3qnd/ciiCBnNymF89kuglqpldYoxbN696R1pXd6d7MIeud08kjO5Mw4elXv5EzOHiiFZSHCiyLondPJI6cT8+wm80wppOSBabKL8KKUKIV1tRsGaiUlLhfG0W7bSMmb5EzvnlUrtbKupORJObMs3iyC89lu20iJlCiFbbMbBsaRCDeZJpaFCA9E0DunkxctC+NI76wrpZCSR1JiXZkmhoFaPel8Jmevao1xJMK9CM5nWvOilFhXavWkWsmZlLxoXVkWevdY7+RMzt59sX3wf6F/8S/+hd/+7d/227/92/7jf/yPfuRHfsSf/Mmf+G5/8Rd/4Sd+4ic85Ud+5Ef8yZ/8ie/2F3/xF37iJ37C3/t7f8//+l//y+/+7u/63d/9Xf/1v/5Xl8vF17/+de/+SinU6rtFMM+UQkpe1RrLQoQH5plpIiWvao1xpHe785mc3WyaWBbmmXG02zZS8qwIUiJnT2qNcaR3N4kggpw9qRS7Wj0rglo5nTzp7o5avah3ciZnj+RMziyLF/VOBNPkSTnTu5ukRCmsq93dHctCSpTic/v0U0+qlWVhXUnJs1Kyi3CzCMbRrhSPpEQpXK/kzDAwjkR41TRxPnugd1IiJU+KYByplVJYV1LyQIRHSmHb7IaB3j3QO6eTV6XE3R3z7F7vdjl7Vc52tXoggt4pxU1aY549FMH5TCneffF98H+hv//3/76f+Zmf8TM/8zP+8T/+x37yJ3/St10uF9/2Z3/2Z77+9a/76Z/+ad/xzW9+03/7b//Nt/3kT/6kb7tcLr7tz/7sz3z961/30z/90/7Nv/k3vvrVr/rqV7/qq1/9qn/0j/6Rf/Wv/pV5nr37KzmTEsviO85nUmKa3GyaqNW9ZSGCUtwkJdaVebbrndPJIxFE0DvLwjwzz4yj3bKwrpTiVRGk5Fkpsa7Ms5vUyjR50brSO717Uq3kTM6eVArLQoQnRVArp5NnnU6cz54VwTzTmmcdj1wuPreU7A4HxpFaiXCz45EID0RQKxFsGyl5VUr07iYRzDPTRCleVQrXKzkzDAwDvXvW8cjdnQfOZ0rxSAS1Mo7kzLYxTZ4UQUoeSYlSaI15Zp7teieCnN2kFLveieB8phQ3W1d6p3f3aiVnUnKTnJkmxtH/EWGXs3dffB98AXz48MGv/dqv+eVf/mWn08kv/MIv+JVf+RVf+cpXfMdv/MZv+NrXvubbPnz44Nd+7df88i//stPp5Bd+4Rf8yq/8iq985Sve3eh04nz2bcvCstCaN2mNZbGL4HymNW+SM60xDPROBMvCPDOODAPDwDhSK5cLKXE8cjqREtPEPLvJ+UzOXpQz08Q4elEEEZxOXtUa40jvHoigd0rxommiVk/qnZTI2bOmiQh696TzmZzJ2bOmiWVxs96ZZ7t1tVtXto3TyW4YGAZqpXcvypllcS+CWu1ac7Oc+fRTr+qdcaQUSvEmpXC9Mk3MM8NA7x6ZJlKid7veiSBn9yKolXG02zZK8aqUPCtnto2UGAbmmZyJIIIIr2qNcaRWUiJnb1IK82wXQe+U4k1KsavV/6dWSvHuy+GDL4if+qmf8rWvfc3v/M7v+MY3vuHnfu7nfLfWmn/+z/+57/ipn/opX/va1/zO7/yOb3zjG37u537OU7761a/6Z//sn3n310wTEWLpamVdfS7TRK3USkrk7JEIIuidZaFW5plxZBwZRyJIifOZy4XjkVJojeuVbWNdaY1SmCa7lGiNlBhHr4rgePSqUuxq9azeSYmUvCol1pVxpHf3aiVnUvKi1lgWj0RwPlOKV5XC+eyRCJaFUrwqZ5bFiyKolXmmNUohZyLsUmKaKIXrlXW1q5XDgWGgViI8kJJdBBGMIylRijc5HonwolqZZ9aVnH1upbBtTBPzzDCwLB6YJs5nu1opxb1lYRyJYF0pxasiSMlNSmGaiKB3xpFxZBw5HDgcOBw4HBgGhoFhYBiYZ1JiWYigVmqlVpaF3umdCE/KmWliHKmVnEnJm60ry0KvnQhy9u7L4YMvmB/4gR/w4cMHt/qBH/gBHz588O5zKEXMVUqcz9RKrdTKsrAsLAvLwrLQO73TO73TO8cjd3csC8cjy8I8M46MI4cD48g4UiuXCxEcj5RCKawrKdmVQmtMEzmTsydFcD5Til1r5Mw4elYEEeTsJuvKstC7J53PlOJmObOuzLNdBL3TmptME7V6oHe7nL1qmlgWIjwwz0wTKXnV6cTl4lkRjKPdtpGSeykR4ZGUKIV1ZdtozW4YGAZqpVa7lDifmWemiVK8WUosiydFUCvLwrqSku+JUtg2SqFWhoFlsSuFZSGCCKaJCMaRWmmN1kjJTSLcrFaWhbs7UmLb2Da2jeuV65XrleuVdWVdWVfWldPJLiVSci+Cy4VaqZVx5HDgcGAYGAbGkXEkgt5ZFlKiVmqlVmplnpln5pl5Zp6ZZ+aZeWaemWdSwl2lFO++PD549+450ySnkHXfLYLLhcuFy4XLhcuFWqmVWqmVWqnVLiUuFy4XjkdOJ0ph29g2to11pTVaY5rImZyplVJojXl2kwgiyNm9UjidGAZPiiAlb9Ia8+yRCCLI2ZvkzDQxjswzpbhZKdzdeeB8phQ3myZqda93IijFTaaJZfFIBLUyjrRGKZ4U4UUpkTOlcL2yrna9czgQwd0dKVGKzyVnuwgPRHA+220bKfmemya2jdaolWGgVnJmHEmJWhlHcmbbyNmbpeRVtbIsbBulEEHvnpUSKZESKfHpp+RMa/ROKZRCa7TGurKubBvXK9cr68q6UgqnE8cjKdlFeOR45HjkeOR45HjkeOR45HjkeOR45JS6nIJp8u7L44N3715SiqIqhVIohdZojdZojdZojXVlXVlX1pV1pRRytjudaI1pYprImZS8aFnspomcyZl59qpaKcUj00RrDAMRHrhcyNmb5Mw0MY4eOJ/J2ZtEEMFHH9E7vfPpp/TuJikxTSyLXe9EkLObtcay2EVQK615k5To3b0IxtFu28jZk3ImwpukRCmsK+tqlxIRHA4MA7VSqzdJiQj3IhhHu1L8rcuZbaM1loXeiSDCbtsoxecS4VW1EsG2uVcKtbpJ7ywLrZEzKbEsXpUSKZEz0+Te3Z1dKZRCKZTCNDFNTBPTxDQxTUwT08Q0MU1MUSnFuy+XD969e8k0EUHv3iqCWimF1phnbxJBrZTiXmv0Tu+eFUEE0+RJOdMa40jv7vXO8ejNSrGr1b3eOZ28KIJloVbGkWFgHLlcmCZytquVw4FhYJ6pld496XRinu1qpRRvNk3USu+kRM7eJGfOZyKolXFkmijFi1LicvG5RDDPbBsRrCvbxrra9c7hwDAwz9RK756VMxF2Ecwz00Qp/n8TweVCSr6nPv2UnD0pglqJoDUPTBMR9O5FEdRKa+61xjx7kwjOZ1qjFHqnd2/XOxFMk3dfLh+8e/eaUqjVW9XKNJEzOZMStbpZ7+RMzh5ojXn2rFqZJi/KmdaYZ3ongt5JyeeyrvRO7/ROBDl7IIJlYZ4ZR8aR85kITieuV7aN1jgeSYlSWFeuV9aVlOxq5XBgGKiVWu1yJmfmmQimyZudTtzdUSuluEkEEURwPNI740gE20YpXvXRRz6XZWEcWVdSIiWWhZRIiVJYV65X1pWU7MaRYWAcqZXe3TseuVxYFsaRUijF37oIamUcGUciOJ1IiZRojQiGgVp9T0VwPtu15kmlcD570TyTMzm7lxLTxDy7Wa3kTM52rTHP3q5WWvPuy+eDd+9eM012vbtV7/ROKe6tK8tC714VQa2U4pGcyZl59kgEvXM6eVXOtMY4cj6TEin53FpjHJlncqZ3amUcORwYRy4XjkdKYdtYV1pjmrwqJUqhFNaVbaM1u945HBgGIlgWUqJWamWemWfmmXlmnhlHxpFxZBwZBoaBebaLYBg4HDgcOBw4HDgcOBw4HDgcOBwYR8aRcWSeibBrzc1SondvALJzuQAAIABJREFUsizUyrqSkt00cbl4UkqUQilcr6wrp5NdrRwODAOXC8tCrawrOftbE0GtjCPjSASlsG20xvnMNJEzEbTGutodDtRKhJtF8NFHHohgnu1K8axpond696RlsSvFI62xLPTuVctC75TiXs6kRK1u1zsR5Ozdl88H797dohTm2S0iqJXWPNIa8+xVtZIzKXlSa/RO7x7onZxJyU1yZl25uyOCeWaemWfmmXlmnplnxpFxZBwZR8aRcWQcGUfmmZSIoHfmmQhOJ7aNbaM1pomc/Y2lRM6UwrpyvdKaJ6XE8cjxyPHI8UgplEIplMK6sq6UQkp228b1yvXK9cr1yvXK9cr1yvXK9cq2sW1sG62RMykxDES4Sc5EuNmyUCvrSkruffQRy+ImKTFNlMK6sm2UQu92EYwjtVKr75kIamUYGEciKIVtozVytlsWIiiF45HLxS4lSmHb7IaBcSTCqyJIyb0IxpGcKcWrSuF89kgEtdKaZ7VGrV4UwflMax5pjbs7Irwuglppzbsvpw/evbtFzqTEsnhN76REzh7JmZSo1bMi6J3WvKg15tm9CM5nTicvimBZmGcOB+bZveOR45HjkeOR45HjkeORUiiFUiiFUiiFUiiF08m9CKaJ1pgmUvK3LoJamSamiZQohVIohWlimpgmpomcyZmcyZmU7GqlNe7umGdvdj5TCutKKYwjvbtJSkR4Va3UyrqSkgemyS7C51Ir02S3bayrXe8cDgwD80yt9O4mEfROrQwD42jXGttGa+TsgQjOZ1qzS4ll8UBKlMK2kTPDwDCwLG4SwTwzTZTiJtNE7/TuXgTjSGuk5FnTZNe7Z9VKSuTskZS4u2Oeva53u5y9+3L64N27W5VCrV4SQa2U4lnryrLQuyfNM6V4Vc6kRK12EXY5eySCWhlHxpHzmeORdaU1UmKauFyYJqaJaWKamCamiZzJmZzJmZzJmZxJifOZabLbNnpnHInwty6CeSZnSuF4ZFm82flMzuRMKXa9u1kEEeRsN02sK7Uyz16VEr17Ua0sC9tGSp40TfTuTSKYZ6aJUkjJLiVKYV25XllXUrIbR4aBcaRWencvgt6ZZ4aBebZrjW2jFHL2rFpJiZztciYlIjySEqVwvTJN1MowUKtHIkiJCOaZnCnFm0wT57N7tTJN5OxVpTDPntQ7vdOaZ5Vi17vnRXA+U4p3X14fvHt3q5xJiVo9Z56ZJlLyotaYZ48sCxFMk5usK8tC79RKKXYRLAvzzOHAOBJBKWwb68o0kTO1Ugqt0Tu9e5MI5pmcKcUuJdaVnBkGavW3ZlkYR04nSrGbJlIiws0iWBZKca81xpEINzmfydkDKbGupMQw0LtnpeRFtbIsbJsXHY9cLm5WK+NIa5RilxIRHkmJUiiF65V15XSyq5XDgd6ZZ+aZlFhXto1SyNmreqd3WvNAzvTuRaWwbawrvTMM1OpehN04UgqleLNSWBYiWBZ6pxQ3yZmUWBYPRDDPtOZVpTDPntc7KZGzd19eH7x79xatcXdHhL+udyIoxatyJiVqdS+CWmnNm7TGPNM7lwvjyDhyPnM8sq5sG62RswciiGCa7EqhVjeLYJ7JmVI8UgrbRu+Mo++5WqmVdWWaPJAzvbvZPFMKKbmXEnd3zLOb9M7p5Eml0BrjSK2elBKXiyfVyrKwbV41TSyLV0VQK8vCupKSeykR4VUpMU2Uwrpyd2eXEttGKeTsZhHMM615JCUuFzdJiXVlXYlgGKjVbhxZV3L2ud3dMc/Uyrp6k9aYZw+cz+RMzl6VMylRq8ciqJVSvPty++Ddu7dIibs7avXdIphnWnOzdWVZ6N2ud1IiZy+KoHeWhXmmViJIiQhKYdtYV6aJnD3rfCZn96bJblm8KoJ5JmdK8ayUWFdyZhjo3d9YBLXSO9tGSh45Hrlc3GRZiGCaPFKKXe9e1DsR5OxZObNt9M44euSjjzypViLYNjdLiQjPimAc7baNlPyNRbAsbBspsSze7HwmZ3L2yEcfebOUaI11ZVnsIhgGDgcOBw4HDgcOBw4HDgcOB4aBYWAYGAaGgWFgGFgWerc7n6mV3t0kJaaJebbrnWWhNTdbV+7uiPBQrUwTKXn35fbBu3dvVQq907vvOJ/JmZy9SWvMMxHUSinuRdA7y8I8M44cDowjtXK5cDxyOpESKXE6kbObRLAsnE4eKIV59qII5pmcKcUDKRHhkVJYV2plnn1uEYyj3bp61jSxLF4VwflMa57VGuNIhGedz0yTV6XEupIzw0Dv7qVE7x6olQha8yY507sn9c44Mk2U4kkp8emnbhbBPNMaKdEa80yEm0WwLLTmSdPEsvhczmciSImUWFeuV65XrleuV65XrleuV65X1pV1ZV1ZV9aVdWVdmSa7lNyrlcOBw4FhYJ6plWWhdw+0xrKwLMwzrXmz1phn/0fv9E4p3n35ffDu3efRGrX6tgiWhda8Wc6kxDjanc+MI8PAODLPXC4cj5TCtrFtrCutMU18+ik50xrzTO9u0jspkbMHcubujnn2pAjmmZwpxZukxLqSEsNA794kgnlmmijFq3JmWbzofCYlcvaslLi7Y549KYJl4Xh0s1JYV+aZWu1yJsIuglqJoDVvdjxyuXikVuaZdaUUz/roIyLcJIJ5JmdytkuJuzvm2U0imGdK8aKUiHCzCGqld7bNrjXmmd69KCVSIiVSIiVSslsW1pXeOZ0ohXXlemXbWFeOR7vLhVo5HBgGxpFayZlaSYmcvdk02fWOCGqlNe/+bvjg3bvPI2e7ZTHPlOKRCCLonWWhVuaZcWQcGQYOB3ongpQ4HjmdaI1tY9tojWkiZ1LyQATLwulESqwr40jvXnU+U4onlULv9O6BCOaZnCnF51YK68o8U6ub1Mo40hqluMnpxOXiWREsC615VSl2vXskgpzJ2ZukxLbZDQMRpETvnM92rflcpollcS+CWumdbSMl3zPnMylRigdKsevdq3q3myYvypne3SSC89luXd3LmdaYZ3r3ZrWSMzlzd0etHkiJlJgmSqE11pXrlXWlFLuUiCCCw4HDgWFgGBhH5plaqZXe6d0jpTDP6N0uZ+/+bvjg3bvPqzXmWQSXC/PMODIMHA6MI+NIrVwuRHA8cjpRCuvK9co0kTMRTBPTRM5u0jspkbNdSqwr8+xFvRNBzp7VGrW6F8E8kzOl+BtLiW2zGwZ696QIamVZWFdScrOcWRZPimCeKcXNWmMcifBArZTic/t/2IOfV/22uzD8r/OpRSoOxIqT0n7WLsIVOijEalCoZ61BSwbtrGAshWfvoQX/gDro+qzSiZiCYsBOytrPqIM6swgp0r0emwg6E5xcLez3xUFnSf6Bm/PlPiXnm+P59ZzPvdGkOa9XrfTONDlrzVmtPpWcWVciKMXZtrlISkR41rqyrvTuQbWyLJ4UQWv07lnX15xOnhVBKc5qdU/O9M6yMIaLRTAGvTurlXUlwkVSImcOByKYZ1Li5oabG7aN3jkcSMlZBK3RGldXXF0xTUwTrZEErVGrVz843nj16n2lxLt3usX1NdfX1Mq2cXPDvrPvbBu90zvzzDyTMykRwRhsG/NMKS4WwfFIre7ImVopxaNao1ZPytnZuhLBspAztfpM1UrvlEJr7ojgeCSCfSclL5ISKRHhnjGczbOLpcS7dyyLWxFEkLP3EsG6cjySEhGMwboyTUwTpVAKpbAsLAut0Rqtsa6sK2MwBmMQweHA8UgpzDO1ulhKRHhSBK2xbR6VMzmzLB61LMwzKXnWPLOunhTBsjDP1OpROdM7y8IYLrIs1OqOd+9ozYssCznTOxGM4SwlcmaeqZVa6Z1tY9u4ueHmhm2jdw4HqkbO5OzVD443Xr36NGqVU5jTMM/kTEou1ho5O6vVWWsuEuEsZ/fMMylRinsiiGCePat3loVSyJlafVfkzL4zBtPE6UQEpTjr3XvLmTHcEUFr1OrFanU2hrMxyNlFIlhXloVSuLqiFE4nUqJWUiIlamXb2DZqpVYOB66vSckdpxOnE63RGq1RCsvCGORMrV4kJSI8KoJloXdS8qTeGYMx3LOuRFCri6VEhAdFUAqHA7V6Vs70zrIwhietKxHMsztqZQzGcJF1dVars1o5Hr1ISuTMnIZs0LtXP1jeePXq06qVZfFSEYxBrW5tG+vKGJ7VGrV6VO/OWnNHa+TsSRGsK8viLMJ3XUpsG7WyrozhrFafyvU1p5M7WiNncvZeaqUUZ8cjh4N7IlhXloVSuLqiFE4nUqJWbm7Yd3qnVk4ncqZ3WiMlUiJncmaemWdqpVZqpVZ6p3e2jW1j29h35pl5JoJpYgwvFuGeCJaFnMnZRXqnNXdE0Bq9e5GcGcM960opbBvz7GI50zvLwhgeFEFr9O5BtXI8elYErdG7W/PMGIzhZSJojd69+sHzxqtXn1bOzDPL4iVaI2dSckfvLIsnjUEEOXvStjEGYziLYAxqdUcEY9AapVAKpxOHAznTOxFME615UkpEuFgEY9AapbAszlIiJa6umCZaozUivMg8s65EOBuDMejde8uZd+8ohQhSYl1ZFkrh6opSOB5JiVq5uWHf6Z1aydkdEYxBreTMPFOK9xbBunI4sG30zrIwTUS4SEoedDySErW6WM7OWnOrNeaZnL3I9TWnkztaozW2jZS8WM70zrJ40PFIzuTsQfPMGIzhURGUQu+k5I5aOR69TGukRM5e/eB549Wrz0KtRDCGS0QwBrW6J2fmmVI8qjVqdZHeKYUxGIOUSIkI1pVlYZpYFiKolX2nd3Imgnmmd7aNCKaJ1ry3CNaVZWGaWBZntdI7ORNB79zcsG1uTRPTRCm0xhielTNjEEFr9O7FIohgXVlXIhiDCErheHR2OLDv7DvbRq3k7FljkDMpOavVWWveSwQ5k7OznNl35plpojXPSokId7TGutK7F+udd++IYAzGoFbvJcJZBK2xruw7KXlvOdM70+SOCNaVWj2pVo5Hj2qNnMnZPfPMGIzhMmMwBr179YPpjVevPiu1siwu0Ro5k5IH1eqsNfdEEME8u0hKbBul0BopUQqlcDxyfc22se/0Ts5uRZCSWynRO9vmbJpozUUiWFdKoRSOR1Ji29h3aiUljkdqZZ4Zw1lK1Eqt3NywbeTsbFm4umKaaI0x3HM4cDoxhrOcPSiCCNaVdWVZKIVpohRK4XjkdCIlUnLWO9tG78wzKXmRCJaFw8Ed28a6MoYXa43DwT21su/OponWPColItwag3Vl27yXlOidZWFZ6N17mWfGIILj0dm++0zkTO9Mk1vLwjyTkifNM2MwhnvWlTHo3aPmmePR8yJYFnr36gfXG69efVZyJmeWxVMiGIPDwZO2jXVlDHe0Rs4uEsG6cjySEhHODgf2nW1jnsnZg04ncnZPStTKtjmbJlpzTwStUQqlcDpxOLDvbBu1krNbxyMpkTPX15xOHpQStVIr+86+07uz1ri6YppojdaYZ9aV1qiVCNaVdWVZKIVpohRK4XjkdOL6mlrZNvadfWfb6J0IcmbfKYUxvLcxyJmc3dM7y+JFIohgnj0oJWpl24hgmlhXT4qgNXonJS8SwRisK6cTYxBBa5RCKSwLy8Ky0Bqt0Rqtsa6sK+vKGIxBSpTirFafqZzpnWliDCKo1UVq5Xh0RwStsW2eVCvrSoSnHY/kTM5e/eB64/vIX/7lX/qDP/gDH374oUv85V/+pT/4gz/w4Ycf+qu+/vWv+5//83/64z/+Y68+Q70TwRgeMwY5k7Nn9c6yuBXBGNTqURG0RimUwvFISs5yZgxScpExuL72qJSolW1zNk1E0BqlUAoR1Mq+0zvz7EERrCu1urWuLpISOVMr28bNDdvmbAyurpxFsCyUwvHI6cT1NbWybew7+8620TvzTM6k5I4IxqBWUmLbWBYivFgExyO1elDOzDOluNgYpORZKdE728bxyDQxhlsp8dFHRLAs5EzOHhVBBOvKslAK00QpLAunEymRkrNaqZVaub7m+prra/ecTpxOnE60xrIQQQRv3/quyJlaKYWcaY0xPGueGYMxnEWwLNRKSp717h2tedwYrCu9e/WD7Y3vE7/3e7/ni1/8oq985St+5Vd+xW/91m95yu/93u/54he/6Ctf+Ypf+ZVf8Vu/9Vu+7XQ6+Rf/4l/4/d//fV/60pf8m3/zb3zrW9/y6jNSK6UQ4a+KoDUOBxfJmXmmFGdjkDMpuRXBurIsXF1RChEcDuw728bhQAS10jvLwhieFMEYpORZKXE4kDMRRFAr+07v5OxZy8I8k5KzeSYlIryXlKiV3knJrd7Zd7aN3plnciYlF2uNnEnJWc70TilebAxnOXtUrc5ac5HjkVpdLCW2jXmmFFpz9vYtEbRGztTqVgRjsK4sC6UwTZTC6eTscKB39p19p3dnOZMzpxM5kzPzzDwzz9RKrdRKrfRO7/TOtpEzOZMzxyPTRITPTASt0RopEUEEpTBNTBOt0ZoH1crx6Ox4JCXm2UVqZV2JcF8ErdG7V6/e+D7w8ccfq7U6Ho9+4zd+w+/+7u/qvYsID/n444/VWh2PR7/xG7/hd3/3d/XeRYSPP/7Yv/t3/85v/uZv+tKXvuS//bf/5pvf/Kb/8T/+h1efkZx5945l8VeNQc7k7GK1OlsWWuP6mjFojVIohdOJ62u2jX2nd+bZrQhyJmdypndKYQyPiiAlUvKkCFqjFGcpkTOtudgYRFCrO3JmDO9tDEohZ1Ji3ymFMby3CMagd3fkTK2U4kWOR2r1rG1jXRnDkyKIIGcvVis3N86urjgeGYMxePuWZaEUrq4ohdY4nbi+plZubth3eqd35pmc3YpgXTkc6J1374jwIq05OxycbRvzzDTRmk9tXSnF2b4zz6RE79zcsG307mwMrq6YJkqhNcZgnhmDZWFd6d2LvHtHa+6KYFnImZy9evXG94E//MM/9GM/9mN+6qd+yid+/Md/3C/+4i/66le/6iF/+Id/6Md+7Mf81E/9lE/8+I//uF/8xV/01a9+1el08vf+3t/zcz/3c77tv//3/+4LX/iCV5+hWp215tsiaI3DwYtEUCtjEMGysCzOamXf6Z15JmcPao2c3cqZfacUxvCg04mUPCqC1ijF2b5zOJASvZMSpXhWBK3Ru3uurzmdvJfWWBa2jcOBlEiJfacUxvBeWiNnD5pncqYUFxmDCHJ2kd5ZFk8ag5x9KocD794xBhHOTieur6mVfWff2TZ6Z57J2bPGIGdyJiXmmdZcbF1ZV3pnnhnDWa3su7NpojUvFkFrtEbv1Ors7Vsi3EqJnKmVbePmhm3jcHDWGldXRLCu5MwYXqRW1pUI/7/jkZSo1atXn3jj+8A3v/lNP/3TP+07/eiP/qg///M/95BvfvObfvqnf9p3+tEf/VF//ud/7hvf+Ia///f/vn//7/+9f/yP/7HPfe5z/st/+S9efRdsG+vKGD4xBimRs0dFsK6sK8vCNFEKy0KEs21j36mVnD0rgjG4vnZHSuw7pTCGe8bgcHBPBK2xLESwbdTq7HQiZ2e9kxKleNIYznJ2zzyzrl4kgtYYg30nJU4nt1Ji3ymFMbxIBGPQu0fVSkqU4lmtUauL5cw8U4pHHY8cDl4sgnVlWSiFMciZnEmJ3plnciYlLxbBsnA4uNU760qEZ0XQGtvmjghnKVEr28YYTBNjeFYErVGKs30nZ7fmmTGI8KiUmGdqZdvYd3J2qzWurpgmSqE1xvCkeaY1/1cE60qtXr36tje+D3z88cfevHnjO71588a3vvUtD/n444+9efPGd3rz5o1vfetb/vf//t++8pWv+Ef/6B/50z/9U//1v/5X//k//2df/epXPeWDDz7wwQcf+OCDD/z2b/+2VxfqnWURQWvU6lYE60prlMLVFaVwPHI6cX1N7+w720ZKbBvLwhguFkHO5OyelNh3WmMMd0SQkjvWlVKIoFZ6JyW3xuD62q3eSYlSPCiC45FaPSolIlwkglKcbZs7cnYrJfadUhjDxVojZ8/q3VlrHhVBBPPsRWp11pp7IoggZxeLYFmYJlojJfadbXNWKylRik9lDHImZ3f0TmueFMGy0DspuZUSEe5IiW2jd5aFZfGoCEohgm2jVg/KmTFcJIJlIWfmmetrto2bG7aNw8FZa1xdMU2UQmuM4VbvrCsxgmWhd1Ly6nm//du/7YMPPvDBBx/44IMP/L/qje9B//E//kef+9znfO5zn/NP/+k/9cM//MM+/vhj3+lb3/qWH/qhH/KQH/7hH/bxxx/7Tt/61rf80A/9kH/wD/6Bt2/f+qVf+iWf+OCDD/yzf/bP/P7v/76nfPjhhz788EMffvihX/3VX/XqQjkzz5TiE8cjpXB1RSkcj0RwOLBt7DvbRu/MMzk7Ox7JmZzpnWVxsdbI2aNSondaY12dRTjL2VkEpdAavdM7ObsjgjFIyR29O1sW9xyPpETOHpUzY3jWulIK80yt7hiD62t3pMS+UwpjeFYEY9C7i2wbY7CuHrQs1Oq9bBvryhjuOB7J2bMiaI1pohRSYtvYd2p1FkEEOdO7s9a8lwhao1b3zDNjMIYHRbAs5EzO7siZCA/KmX0nJa6uaM2tCFqjFOaZ3knJo3LmdPKsCEohZ2rl+prj0a2UmGdqZdu4uWHbOByctcbVFdPEspASozRyJmevLvOrv/qrPvzwQx9++KEPP/zQ/6ve+B70r//1v/blL3/Zl7/8Zf/pP/0nP/mTP+nP/uzPfKdvfOMbfuZnfsZDfvInf9Kf/dmf+U7f+MY3/MzP/Iy/+3f/rr/qzZs33rx549V3Sa1Somo+cTiw7+w720bvzDM5e9QYHA7OcqZ3psmzIoigVk9Kid45HllXIkiJCEqhFA4H9p2cPSiClEjJPdtGBMviVgTrSq2edH3N6eRREbRGa2wbtbongpTckxL7TimM4UmtkbMX2TaOR8ZwRwQRzLP31jvL4o4xOBw8KILWKIVSiKB39p1aydkdxyM5u7VtjMG6erExSImcPahWWvOg1siZWt2TEqeTJ9XKvhNBKUSwLM72nVo96+1bIjwpgmVhnqnV2TwTQYRHpcQ8Uyvbxs0N20ZKVM2cg1q9evVXvfE96B/+w3/oF37hF/zCL/yCn/u5n/OzP/uzPnE6nXziL/7iL/zRH/2Rn//5n/dtf/qnf+r//J//4xM/+7M/6xOn08kn/uIv/sIf/dEf+fmf/3mlFF//+tdt2+YTX//61/2v//W//Mt/+S+9+i7aNnMa+mGYZ1JysQgiyNmtnOmdafKkCFJykZTYNo5HloUISiFn9p159qTTiZw9atuIYFmcLQvzTEqeNM+sqwdFcDwSwb6TknsinKXkQSmx77TGGB4UwRj07sV6pxTGcKs1cvap5Mw8U4qzMYggZ7ciWFdKoRQiqJV9p3dy9qgxOBzcsW0cj4zhYhEcj9TqUfPsbAx3tOasVg96+9ZFUqJ3cnYW4UXmmTGI8KAIloWcqdUdOTOGF0mJej3MVnr36tVD3vg+8ObNG1/60pf82q/9msPh4Jd/+Zf9+q//up/4iZ/wbb/5m7/pa1/7mk+8efPGl770Jb/2a7/mcDj45V/+Zb/+67/uJ37iJ/ztv/23ffnLX/Yf/sN/8MUvftE//+f/3C/90i/5/Oc/79V3We+Uwhhe4nhknt2TM7VSike1xuHgIhGsq7MIZ/tOrS4yBoeDJ20bEZRCBLW6SEqM4Y4IlsVZ7x4VQUqelBK90xpjuKc1cvZeUmLfKYUxiGAMavWp1eqsNY5H5pkI1pVloRROJw4H9p3eydmzIoggZ/f0TimM4SJjOMvZk2plWdxaV9aV3j0qZ9bVsyJozVlK1EoE00RrLpIzY7gngmUhZ2p1z/U1rXmZCJaF3knJq1cPeeP7xOc//3lf+9rX/M7v/I4/+ZM/8YUvfMF36r37V//qX/m2z3/+8772ta/5nd/5HX/yJ3/iC1/4gm/7J//kn9i2Te/dH//xH/u3//bfevXXICW2jWVxqQjWletrD5pnDgdKcU8EEcyzJ0XQGtPE8UjOpMQ8M02M4SJjeFYEOTOGs2miNcbwpJw5ndxqjVI4HKjVk04nUvKslOid1hjDrQjGoHfvLSW2jWWhNXImJe8tgggi6J11ZV0Zg2miNVJi3+mdefYiY5CSB6XEvlMKY3jW8UitnpUzKbGuRNAa2+ZJKXlWBMvirHdydtY72+bs6orWiPConDmd3BHB8UjO1OpB8+wswmUiKIVaydmrV4954/vMj/zIj3jz5o1L/ciP/Ig3b954yN/5O3/H3/pbf8urv0Y5M8+U4hIRznL2qHkmZ0pxRwQpeVAE60oplOJs39k2rq9JiVrpnVJozZMiSImcPWpdKYUIUqJWenfWGldXTBOtsa7uuL4mgghaY13ZNubZsyJIyUVSondaYwxny0KtLhZBBGOwrqwry8Lx6GxdGYNpYpqYJqaJaWKamCaurri64uqKqyuurri64uqKqyumiVIohVKIcBbBvrPv1Oq9HY/U6lEpsW0siyeNQQQ5u0jvLAvLQu+k5FkpEeFBESwLOVOrs+trTidnKVEr++5smiiFMdzz9i0RbkVwPDqr1ZNypjXPi2BZmGfm2atXT3nj1au/brU6a81zWmOePatWUqIUt1rjcHDHGCwLpXA6USv7Tq2k5Ox0ImdnObPvjEEpHjUGKXlQBKXQGr3TOymREjlTK9vGvrNtzo5Hrq6YJlrjo49YV1pztu+k5CIRXF+7WEr0TmusKxHkTARjsK6sK62xLJRCKUwTV1eUQim0xunE6URKXF+Ts7OU2Da2jW1j29g2to1t4+aGmxtubri54eaGmxtubri54eaGfWff2TZScpYSy0KE9xZBBDl7Us70zjR5VGv07lkRrCutORuD04kIz8qZMdwTwbKQM7W6Nc+sqztSolZubsiZZWGaaM2teWYMIohOsC/6AAAgAElEQVTgeHRWq2cdDqyr5x2PpEStXr16zhuvXv1N2DbGYAyPiSCCw8FFeiclSiGCCOaZCFpjmlgWUmLf6Z2c3TMG19dupcS2kTPTxBjuOR7J2R0RtEYp5My+k7NHpURK1Mq2cXPDtjmLcLauXF97kTFIyYvlzLIQQSmUQmucTpxOzq6vORyolW3j5oZ9Z9/ZNnqnd2olZ8Zg24gggpRIiZRIiZRIycUiWBZ6JyV6J2emida8lzFIyUVyZp4pxT1jEEHOHhTBGCwL08TxyPU188y7d86miVJYV49KiY8+ckcEpVArtbonJSI8qFb2nd5ZV6aJ1pzlzBgcj0RQq4vkTEqM4XHryrrSu1evLvHGq1d/U3qnFMbwkAhSIiUX693ZsjgrhVKIoHf2nVo9KoIxyNk9tbJtLAutuef62lkErVGKs32nVu8lJQ4HxnA2zywLpRDhWRGkREouEsGyUApjkJKz3tl3to3e6Z1amWfmmZxJyZPGICVypneWxacSwbKQMzk7i6BW9p0xKIUIL3I8UquL1UpKlOKO1qjVPRG0RiksCymx72wb8+zs7VtqZd/JmdaYJlpzz9u3RLjVGqWwbeTsQTkzhiflzL6zbUQwTc5aI4LevUjOHI8eFkFrbJtXry71xqtXf1NSYt8phTH8Va1Rq4tFsK6kxBhEcDiw7/ROzp4VQUoelRLbxhiU4iyCCFKiNZaFCLaNWj0ogpQ8qzVKYdvImcOBfSdnpolSiPCoCFLypAhaoxRKISW2jcOBlNg2lsWnEsHxSK3OciYlWvPejkdSolZnORPhLCW2jZyZJlpzkQgiyNmL9O6sNWdjEME8O4ugNUqhFGe9s+/USkoelBK1su9sGxFME60R4SwlxnDWGuvKtpGSR6XE6eQiKdE7vRNBBGPQGmO42OHAurovglLYNlLy6tWl3nj16m9SSmwby0KEb4sggpw9KYLWKIVSOJ24vnaWM8ejFzmdmGdPSoltI2emiePRWSmsK7XSOyn5VFpjXdk2UnJHrdzckDPTRGtEuOd0ImcPGoNloRQiqJV9p1ZS4nikVnKmd0rx3iKc5ezWtvHuHWN4sTFYV3p3KyU++sgdtbLvjME0EeFJEaTkvWwbY7CutMY8s66UQilEUCv7Tq3k7EVSone2zdk0MU1EEEFrrCv7Tkqe9PYtES4WwbIwz856d7YsTBOtsa6elDMpMYb/XwTLQu+k5NWrl3jj1au/aTnTO6X4tjFIyT0RrCvLwjRRChHUyr7TOzmTEtvG4cA0MYaLjMH1tYvUSu+8e0cEtbLv5OxTiaA1xmDfScmjamXfnU0Trbkjwh0RtMY0sSykxL7TOzm7FUEEOTvLmZwpxXtpjVrd0zuteZEIloXe3fH2LRHuSYlto1amidY8qjVy9t56pzXGYF05nTgc2Hd6J2fPSomPPvKolKiVmxvmmdacrSv77iLzzBguEsGyMM/USs5EUCv7zrY5Ox65uqIUWvOgWjke/V8RLAs5k7NXr17qjVevvhfkTO+U4hPHI7U6i2BdWRamidZIid7Zd3onZ7eOR1JyNs/0TimM4VljkJJnRbAsLIuzeaY1WvOpRLAszrbNHRGk5J6UqJV9d3Z1RWvOInj7lnVlWSiFCHpn36nVg8YgZ3fU6qw1LzIGEeTsnnl2tq4uEsGyMM/k7I6UiPCoeWbfGYNpIsIdEYzB9bWLRLCutEYpXF1RChFupcQ8+2szTbTmIikR4UmtUQq9U6uznDmd3EqJWtk29p2cnV1dMU20xhjO5pl1RQTLQs7U6tWr9/HGq1ffK3ImZ0oxBqcTpVAKpxPX19zcsO/USs4eNAa1upUz+05rtOZREaRESh4VQWuUQkrsOzlzOLBtjME0MYYXi2BZyJlavVhK1Mq+O5smxqA1WiMl9p3eydmTjkcOB/dsG2Mwhou1Rq0e1TvLQoRnHY+kRK3uyZkxPCklto1amSZacyuClMjZPRFEsK4sC6VQCscjERwO3NzQOymREr0zBtNEaz5TEZTCurJtzDO1sm2MwTTRmiflzBgeFEFrrCvbRkpuvX1LhAelRK3Uys0N2+ZsWZgmWiMJY1rImVq9evW+3nj16ntJraRkU0RQK/tO78yzi4zhnpTonTFYFg86HknJgyJojVKc7Tu1OhuDlEiJbaN3loVSiPCgCFJyK4JlIWdq9amkxOFASs4i6J1aXSSCCHL2oN4phTE8awwimGePSol371gWT1pX1pXePSolIjxrntl3xmCaGIPjkXl2FsG6siyUwjRRCqcT19fUyr6zbfTOPBNBa/ROzkSwbWwbYzBNtOZTiaA1SiFn9p2UnH30ESmxbWwbYzBNrKsHXV9zOrkngmVxtu+k5I55ZgwiPCslamXf2TZEmB3ld5lavXr1abzx6tX3mt7lOelR5OxFIkiJnN2TEtvmrBT3jEHO7oigNUpxtm3U6lYEKZGSWzmz7+TMNNGaJ60rpdA7tfrUIlgWcna27ywLpRDhWccjOXtUSmwby0KEJ7VGrZ5Vq7MxPCiC1tg2z4pwkZTYNnqnFNaVdeXqilI4nUiJWrm5Yd/pnXkmZ/eM4Sxnrq85nZylxLaxbYzBNNGaF4tgWRiDbaNWt66viXArJbaNbaM1pol1dUfOrKs7IlgWcqZWj8qZMbxIEmo6qu9Qq1evPq03Xr36XtQ7KVGKlzgeScmTeudwYJoYw60Irq+dRdAay0IE20atpORitbLvzqaJ1tzTGq2xbaTkU4ugFHKmVmcpse/kzDTRmieNweHgSTnTO8viURFEMM8uUiuluCeCZaF3UvKknIlwsQiOR7dyZtvYd3qnVnL2rAiOR2p1Ns+sqztSYtvYNsZgmmjNsyJojVLImW0jJRdJiX2nd1pjmlhXZymREhHOWqMUDgdq9aScOZ1cLoLj0VmtXr36LLzx6tX3qt5JiVJcagxq9ax5pndKYQwinKXEulIKEfRO76TkQRGk5FEpUSvbxhhME2M4a411Zd9JyafWGqWwbdTqnlrZd2fTxBjuGYMIcvasnMmZUjyoNebZxXLm3TuWxR2tkTM5e1ZKfPSRZ60rpVAKKfHuHfPMupKSFzseSYmc3cqZdXVPSmwb28YYTBPr6kERlEIE20atHpQSER6VM/tO77TGNDEGOXM80hrryrYxz5719i0RLhPB8eisVq9efVbeePXqe1nvpEQpLjGGi+XMvrMstOasFFqjd3onJU+KICXPSolto1ZKcRbBvvvUImiNdWXbSMmjUqJWto1loRQi3DoemWcXq9VZa+6IYAxq9SK1MgZjOGuNCGp1kbdvifCgCNaVUmiNnNl3amUMDgd6Z1m8SATrSq3uOBw4nTwqJbaN3mmNaWJdnUXQGqUwz/ROSh6VEhGelTP7Tu8sC+vKujrbd1JykXlmDCI8LYLj0VmtXr36LL3x6tX3ut5JiVI8JYKUyNmLzDPrSgS9s+/k7CIffURKLvbRR85SYl0phTG8twhac7bvpOQiKbHv5Mw00RoRrCvX115k2xiDMdxqjZy9l95ZFsZgXdk2F0uJCHdE0BqlcDxSK/tOrc4iGIOUmGdnrbnYsjDPpOSOnFlXz8qZfad3WuPdO9bV2b5Tq2elRISL5cy2OYtgXWnNi+TMGB4XwfHorFavXn3W3nj16vtB76REKR5zPJKzi0TQGqUQQUrMM8vCGC4Wwdu3nhVBKawr2+bs5oacWRamiXX1IhEsCylRq/dSK/tOBKWQ/j/24CfUu/U+CP1n7/amNmQQQi13cOF9luTmiU6Elqa0XrOf1cG1dKrYtAp7rZFEKOLAQYP4vA+IUhKx4T0YBK/r95t0IIEOMrmB4Hp+MQkYCiIUek967foeQnUkCQ4UvJyzL+dXspvd/fdNTtrznvw+n0QEvRPhyZaFcaR3IuidWj1ZBL2z2xHhaBwphd2O3umdCA8qhd4dRdAa40gEy8K6UoobIkiJlBytK8+f07tH9U4EtbolJVIiwpOkxDS51jsRniwlIjxJa4wjy+JoXYlgGGjNk5TC4eBuEez3jmp1cvKDcO7k5FWxLJTCOLpL71xeulcEux3jyDg6WleWxdHlJetKa8yzJ4kgJfeKoDXGkVLYNlJyrVa2jWWhNYaB1twpgpQcRTCOlEKtvi8pcXlJhKPDgdYYR87OODtjGBhH5pnWaI3djt7pnZRYV+aZ1iiFlIgggt7Z7WiNeWYcGUeGgbMzxpF5Zr/ncCAlRxEcDrRGawwDZ2cMA8PAODLPtEZr7HakxDwzjo7WlWWhFHc6HJgmN6wr8+xRrVGre5XCfu9REYwjESwL00QpDAOtecdE0Bq9s65Mk6OUWBbW1dHZGa0R4V7PnhHhtgjm2VGtTk5+UM6dnLxKauXykmHw3SLonZTcEkFrjCOtcXnJtlErKRHhqBRSYl1JiWGgdw+KcK8I5pndjnWlVvcqhW1jXYlgGGjNnVpjHFlXavV9a415ZlmIYFlYV7aNqyu2jXWlVi4uXDscaI155uyMcSSC3Y7eOTtjHBlHWuNwIIKLCy4vqZV15eqKbWPbWFeWxdE0OVoW1pV15eqKqyvWlXWlVi4uXNvviSCCbaNWUvKg3rm4cEMplMI8u9du52ia3OvigggPao1xZJpYFtdqZduIYBjo3YNSonf3imCeHa0rKTlKiQhHKVEr2+ZoGBgGdju3TBO9E+GPRTCOlEKtTk5+kM6dnLxqpollYRjo3dsiSImUXItgnhlHIlgWto1p8qhaWVfmmXl2rwhKcUMErTGOlMK2kZJrEe6VEsvCujo6O6M1Ihy1xm7HupKS70sErbHbsa5Mk6MIN6RESpTCNFErtbIsrCvbxtUVy+KGqyu2jW1jXVkWloVpYpoohZTcEkEEy+Kod7ekREqUwjRRK7VyeUkpjnr3qAgiKMUty0IEvbslgtao1YOmid2OCLdEMI7sdqwrtboW4SglloVlYZ4ZRyLcKSV3iqA1xpFloVY3lELvbkiJWrm6YppojWGgNTeUQu/+SATzzDRRq5OTH7RzJyevolJYFuaZ3h0OlEIEux3jyDiSEtvGslCKO0WQkltSYttIiWGgdzdEkJIbIhhHIlhXanWnlDwoJWpl2xwNg6MIto2UfF8i2O8dbRspOUqJ3r2UCFqjNZaFUkiJcfQ92e8pxVGtzLMn2++plWVhHOndgyJIyb1qZRzd0julUIpHTRO9u6E1xpFS2DZSci0lt5TCtlEKw0BrbkmJN95wQwTzTO9sGym50xtvuFetbBvrSgTDQGuOSuFwQATzzOUltTo5+dNw7uTkVVUK68o4il0XwTCw33N5ybZRq0cdDpTiXrWyLMwzrbkWQUqOImiNcWSaWBZS8n1LictLSnHUO8NAa75nEYyjo1rdUApvvOHJItjviWDbSMnRujpqzUvrnctLR6WQEq15VAQRlEJKrCvz7EGHA6W4Vyk8f844uhZBa9TqSS4uOBwcRdAaux3rSq3uFOFOtbJtRDAM9O7as2dEuNY780wprKt7XVwQ4VEpsSysq6OzM3pH74wjy8I0OTn503Lu5ORVlhLbZknNZTTryroyTZ4sgmfPPKgUts3RMNC7axGMo6Nto1bvmN2OcaQUUmJdWRZ2O4aB1ryUCOaZaaJWt1xcEOFJIphnR8viKIKUHK0rvdO7J4sgglJcWxaePyfCg1pjmlwrhWliHN2rdy4uPKhWR7udo9YohZQ8yTSx29E78+xo20jJnVLyoJRYFpaFeWYciXAtgtaYZ5aFWj0qwpOlRK1sG5fRLGbWlZScnPxpOndy8qpLiWUxpa7sZy8rgpQ8Sa0sC+NIa0QwjkwTtXrHRNAarbGu1OpaKWwb60oEw0BrRHhQa4wjy0Kt7lQKu51H7XaMI6VQq2tvvEFKri0L80zvnmS/pxQ3pMTz57TmXhH0zsWFG2p11JpbIoigFI9aFuaZ3Y7eWRY3RBBB7/TObsduxzwzz47mmVqp1aMiPKoUto1SGAYOB3pnnh1tGyl5VCn07uVESPtmsmNdScnJyZ+2c6+Qb37zm770pS95/fXXPcU3v/lNX/rSl7z++uv+pIjwpS99ye/93u85eQ9IiXUlJcbRy+idlDxZSkwTvRPBNFGrJ4sgJfeKYL8ngm0jJXdKiWVhXR0NA/NMhGspEUFr7HasKym5V0qkRIQ7RdAarbGu1OqGCDekxLoyjvTuUb1zeemWWumd3t2pd1KiFLesK73TuxsiSMmTpMSyMM+OxpFxZBg4O2McGUfmmdY4HDgcSImLC1JydDh4VEpeSq2sK70TQQS1erKUHEV4mgjG0dG2kZKTkz8L514RX/jCF3ziE5/wxS9+0Sc/+Umf/exnPeQLX/iCT3ziE774xS/65Cc/6bOf/azvWJbF3/pbf8sXv/hFf//v/33/8B/+QyfvEbVyeckw0LvHRJASKXmS3Y5xpHdK4flzemcY2O183yIYR0fL4pYIt6RErWwbKTEMDAO7naPW6J1tIyWPKoXe3RLBfk8E20ZKbong2TM3pMS6Ms8eFEEEpbhTrbTmTvs9tbrXsjCO9O7a4UApHhRBawwD8+xardTKunJ1xbaxbWwb68qysCzUSimOts3RMNC7d0wE80xKjlJiGOjdk6XkaSKYZ6aJWp2c/Fk69wp488031Vrt93uf/vSnff7zn7csi4hwlzfffFOt1X6/9+lPf9rnP/95y7KICG+99ZbPfOYzdrudT3/60/7Nv/k3fvu3f9vv/d7vOXmPmCaWhXFkt/OQCFLyqAjGkdZYFraNlHj2jHVlXWmNYaB335PeGUemiVrdkpIHpUStXF0xTbRGBL1Tq5fyxhtuiGCeHS2LB6XkllJYFsbRvfZ7SnGvaXK027mhdyIoxb1SYl2ZZ9d65+LCLRG0xjAwjo6WhXWlFFLicKAUUvKoCNdqZVkYR1rzoAgPiqA1xpFaWVdH68qyMM+MIxEeVQq9e1hrjCO1UquTkz9r514BX/7yl33wgx/04Q9/2Ns+9KEP+fjHP+4rX/mKu3z5y1/2wQ9+0Ic//GFv+9CHPuTjH/+4r3zlK952dXXlz/25P+dtP/7jP+78/Nz//J//08l7SClsG/s9rblPhAdF0BrjSClsG6U4iiAlRymxbSwL88ww0Ls7vfGGW1pjnllXavV9u7wkJUel0BpnZwwDrdG7e11cEOHabsc4Ugq1elCEe5VCKYyjO/XO5aUH1co8u2G/Z5o8qhSWhXEkgghKcRRBawwD4+hoWdg2aqUUDgdKYV3pnd49yeFASq6VwrbRO+PoTim5VwStMY6Oto1pckMpbBulMAzMMxEe9MYb7hZBa+x2rCulODl5Nzj3Cvj2t7/tox/9qO/2gQ98wDe+8Q13+fa3v+2jH/2o7/aBD3zAN77xDefn52qt/u7f/bs++9nP+tt/+2/75V/+ZX/5L/9lJ+8xKbGuRDAMRPiT3niDUtwSQWuMo6Nto1aPKoVtY5oYR8aRCLek5CiC1uidbSMl90qJCI+KYJ4phWni4oJ1ZdtYFketcXbGMNAavbs2Tex2RNAarbGu1OpREaTkXrU6mmc39E4EpXhQKUwTrTmKoHcuLz1JKY7G0VFrjCPj6GhZ2DZqpRQ39M6zZ46WhXGkd4+KoBQ3pMS6UgrDQO+eZLdjHIlgXanVg2rl6oqUGAZac6eLCyLcFsE4Oto2UnJy8m5x7hXw5ptvOj8/993Oz8+99dZb7vLmm286Pz/33c7Pz7311lve9ju/8zve//73+/N//s/74Ac/6D/9p//kv//3/+4hOWc5ZzlnL168cPIKWRZqZRjo3XfrnYsL1yJojXF0tK7U6qXVytUVpTAMtEaEGyIYR0fr6h0RwTxzeUmtpMQbbzhKiVKolXVl21gWR/PMMDCOtEZKtEYE20ZKHhXhKCUPWlciaM21w4Fp8iTLwvPnRNA7KZGSe0UQwW7HPDuKcBRBrWwbtVKKB6XkKCXWlXkmwoMiuLhwp1pZFsaR1lxLiQjXIhhHWmNZWBZScktKRLilVrbN0TDQmhtSIsJNrTGOTBO1Onl1vHjxQs5ZzlnO2XvVuXehf/yP/7Gf+qmf8lM/9VP+6l/9q37sx37Mm2++6bu99dZbfvRHf9RdfuzHfsybb77pu7311lt+9Ed/1L/9t//Wf/gP/8Fv/dZv+dVf/VX/8l/+S2/71//6X3vI66+/7vXXX/f666/7tV/7NSevmGli22iNefYdEa7tdowjEawrtZKSe0WQkgfVyrY5GgZac9Q748g0Uat3RATjSK1Mk6Nnz4hwp5QohVrZNtaVUogggt2OlLyUlDzJutI7vTvqnYsLT7YszDP7PbU6iiCC3Y55ZhwZBsaRceRwICVKcRTB5SWleFQEEZTiWiksC+PoXhH0TinuVQrbRu+MoxsiaI1xpBS2jVJ8T1KiVtaVCIaB1hyVQu/+SAStsduxrtTq5NXya7/2a15//XWvv/66119/3XvVuXehX/3VX/Xaa6957bXX/LN/9s/85E/+pN/93d/13b71rW/56Z/+aXf5yZ/8Sb/7u7/ru33rW9/y0z/90771rW/5yEc+4kd+5Ed8x7Nnz3zzm9908h6XEutKSgyD2HURpMQ40hrLwrKQkndMStTKthHB8+f0zrpSqydLiTfecKfdjnFkXSnFtZSI8CQpcXlJBClRiqOzM4aB1jwowktZFsaR1oigFHeKIIIIeqd3RxH0zn7PODIMjCOHg6PLS5aFbWPbWBZq5eKClFhX5tmTRLhTKUwT4+heKXlUSqwrpTAMRNAa8+xo26jVOyIlloV1pXeGgd2OlIgejKOjbSMlJyfvVufehf7CX/gLfv7nf97P//zP+9jHPuZnfuZnvO1wOHjb7//+7/va177m537u53zHf/yP/9F/+S//xdt+5md+xtsOh4O3/f7v/76vfe1rfu7nfs5f+kt/yVe/+lV/8Ad/4G3/7b/9N7/zO7/jYx/7mJMfErWyLNI8eq4ZR0ph2yjFk0WQkpfSOylRCsNAa0T4vrRGa6wrKbmhFHr3JBG0RinUSkrUytUV00TvDAOt0bs7peRJIhxNE8+fOxpHxpFxZBgYBs7OGAbGkXFknmmNw4EIRxcX1MrVFdvGsrAsTBOluOVwYJoohWVhHD3qcCAld6rV0Ty7JYKUPNnlJaUQQe/USq1+IFJiXVkWWmOKJs0j00StTk7e7c69As7Pz33mM5/xqU99yuXlpV/5lV/xG7/xG37iJ37Cd/zmb/6mr371q952fn7uM5/5jE996lMuLy/9yq/8it/4jd/wEz/xE/7iX/yLPvWpT/mbf/Nvury89Au/8Av+yl/5K/76X//rTn6IlMK2qaXb0qhehh+k1hhHpolpohS2zdEwMAzsdl5aa+x2rCspuVNKRHjUfk9K1Mo0sdu5Vivryro6mmeGgdaIcBRBSm6JYLejNeaZcWQcGUciXLu8pFZqZV1ZV66uuLpi29g2to11pVZSYpo4HCjFk/XOxYWjUhyNowdFUIp7rSsR7HZuOBwoxaMimGfG0VFKTBPzTO+eLCUivJSSwpZGNe1YV2p1cvIqOPeK+Nmf/Vlf/epXfe5zn/P1r3/dL/7iL/puy7L4G3/jb/iOn/3Zn/XVr37V5z73OV//+tf94i/+ou/45V/+ZV//+td97nOf8+///b/367/+605+CKXEulIKw0BrniqClDwqgnFkt2NdqdW1lKiVqytqpTWGgdbc6dkzIlxrjd2ObSMlD4rwoNaIoFbXUqJ3N6RErWwb6+poGBgG9ntHux3zzDhydsY4st8TwcUFtbJtbBuXl0yTo5QohVJIiZTcq3dSYlnond49Se9EUIpr6+qod/eK4OLCg9aV/Z7eXeudiwt3iqA1xpFxJCW2jWUhJS4vWRbmmda88yJojXGkFLaNlJycvCrOvWLe//73Oz8/91Tvf//7nZ+f+5POz8+9//3v9yM/8iNOfsjVyrbRO8NAhHdCa4wjpbBtpOTo2TMi3DBNbBvrSgTDQGtEuCWC1ohg2zyqFCLcqzV6Z1ncUAoR7pUStXJ1RSlE0DuHAxcX1MrVFdvGurIsTBOlOIqgNS4vqZXWPNl+T62OloV59iSHA6W4ZVkYR3p3SwS9U4pHLQvjSO+OeiclN/TOPDOORFAr20atrkWQEqWwbY6Ggd49KCUiPC6CeaZ31pVanZy8as6dnJyQEutKrQwDrXlIBCm5UwStsduxrtTqyVJiWVhXR8PAOBLhKIL93tGyeJKUOBzcqTV2O9bVLRcXHA6eJCVKIYJamSZK8aDeSYlSmCZHvXtU70RQiqNSSInWPKp3Li/dkhLryjy7U0qeJCXWlXkmgpRIiQhaYxiYZ1Ji21gWSnFLBCm5VivLwjzTmu9dBK0xjpTCupKSk5NX0bmTk5M/Nk1sG70zDPTuZUQwz462jZR8T1KiVraNUhhHWqN3R7V6smfP3Gm3Y7dj29xpmtjtPGq3Y7djWZgmWvOoCFqjVtdqZZ49ar9nmtywrux29O5eEURQijuVwjQxjm6IICVPVgrLwjg6mmfGkQiWhW2jVveKcKdS2DZHw0DvXk4E40gE60qtTk5eZedOTk5uSol1ZVkYR+bZYyJojXGkVmr1jkiJWllXRynx/DnjyG7nSVKidzf0TmusqwelRIR79U5rrKujZWG3I8KDeiclSnGtFFJit3OvCHrn4sIty8I8u9d+T0oeVKuj1lw7HCjFk0Sw27HfE0EEKbFtLAuleJKU3KtWloVxpDWPi6A1xpFpYllIycnJq+7cycnJ3Urh6oqUGAZa8x0RpOQognF0tG2U4kEpEeHJIphnpokIto1S2O8ZBlpjt3OvUohwLYJ5Zl1JyYNKoXd3iqA1loWUXJsmWnOvCFqjVrfUyjy7V++kRCluKYWUaM2deqdWj1pXeqd3R71zceFOEex2zDPjyDhyOHBxQUqUwm5H754swqNKYdscDQO9O0qJN97wR4iOg+kAAB0OSURBVCJojXF0tG3U6uTkveLcycnJw2plXemdYaB3b7xBBK0xjkwTtXrH7XaMI8tCraTkqFbWlXV11BrDQGv07paUiCCCeWZZSMmjLi44HNwSwThyeUkpblgWdjsi3Kl3UqIUt5RCKbTmTvs9tbrXurLb0bsbIoigFE+yLIwjvdM7KbkWQWuMI+NIa6RErWwby8I0kRK1sizMM717spQ8KiVqZVkYR1rzx3pnHIlgXanVycl7zbmTk5PHpcS6sizMs4vnIxF6Z12p1TuuNVpjXUnJtQjXUqJWto11dTTPDAOt0bujUtjvmWdqpRRPttu5IYLWmCamyZ2midbcEsF+T63utSw8f+6WCCIoxYOWhXl2Q++k5MlSYl2ZZ0e9M8+cnTGORHB5ybaxbdRKKW7onVIohXVlHNntPCrCSymFbaN3ds/Ds11jnqmVZSElJyfvRedOTk6erhS2TXlerDFYS5OSd1QErdE720ZKrpVChDulRK1sG+vqaJ4ZBnrn+XNKoRRPNk2OIlzb7x3V6l7Lwm5HhBt6d1SKe6XENDHPbmiNUjyqFFKiNdf2ey4vPUkEux37vWuHAxcXrCvbxrIwTe4VQUqupcS2sd8zzx70xhuk5KUkYS3NlkbThG1jmpycvJedOzk5eXm1sm2Ozs5ozVOlRIQ7RTDPjtbVLSlxOHhUStTKtrEsRJASz58zDLRG754kJXp3tNux27EsHjVNtOaG/Z5aPWpZ2O2IcBTBbsflpSdZV54/p3ci6J1pcqcIdjvmmXFkHNnvSclRSkQwTZTiSSJIyQ0psa5EMI4elJKniaA1xtHRtlGrk5MfBudOTk6+NylRK9vm6OyM1nyvIphnSqFWd3r2zEuJoDWePyeCbWNZHLXG2RnDQGu05k6lcDgQQWusqydZFnY7Ihz1TgSleJLnz2nNUQSlUIonW1daI4JSXIugd1pjHBlHWiMlamXbWFdqJSWWxdE8e7LDgVLcaV0phWEgwi0RHhdBa4yjo3WlVicnP0zOnZycfH9Sola2zdEw0JqXEcE8Uwq1uldK9O5JIphnSqFWUnJUCrWyrlxdsa6OeufsjGFgnmmN3rm4IIJ5ZllIyZNNE605ao1l8WS10ju90xq1eimlOBpHUqI1xpFhYJ6JoFa2jW2jVkpxLYIISmFdiaA1T9I7z565V60sC+NI726I4Nkzd4ugNcaRCNaVWknJyckPm3MnJyfvjJSolXUlgmGgNX9SSkS41hrjyLJQqweVQoRHRTDPlEKtjkqhd7ekRK2sK1dXrCspORpHWqN3IjgcaI3e6d2jamW3o3ciKMVLqZXWiKAU1yKIoHd6Z7djt2OemWfGkXEkwlHvRHB5ydUV28ayUIp77fek5Nq60ju7nSdJyYNKYV0ZR3p3Q0puiqA1xpEI1pVlISUnJz+szp2cnLyzUmJZWFdHZ2e0RoQ/qTV2O9aVlDxJSkS4VwTzTCnU6trFBYeDR6VErdTK1RWlkBIpOYqgNVrj7IyzM4aBYWAcmWdaozV6pxTGkWmid3qnd3pnt2O3Y7djt6M1WqM15pnDgd6JYBwZBs7OGEfGkXmmNQ4HDgdS4uKCWqmVWknJ0bIwTZ6sd2p1w7qy39O7B/VOSh6VEttGa7TmtghaYxwdrSvLQkpOTn7YnTs5OfnBSIla2TZHw8A40ru3tUbvbBspeSkR7hRBa5RCrW6YJnY7L6U1IqiVlKiVZWFdWVeurri6Yl1ZV2olJUcR7PdEONrtmGdaozVa43DgcOBw4HBww8UFKZGSo1pZV66u2Da2jW1jXVkWloVamSZKoRT2e2plmhhHTxZB76TklmVhnundnSJIiZQ8SUqsK70zjkSQBPPMODraNmolJScnJ3/k3MnJyQ9WStTK1RWlMM82g2e7Zl29tFKIcEsE+z0pUas7pUTvnmS3Y7djXZkmdjsi3CklUqIUaqVWloVlISVSYprYNtaVdWVdWRaWhWVhWaiVWqmVaeLZM0qhFA4HUvJkEUQwTdTqqDVPEkFKpOSWlFhXxpHe3RJBSl7auoQSO0uM0jySEttGrU5OTm47d3Jy8qenVrZNWqqpBMNAa0R4qpQ4HNwQwX7vqFb3KoX93qMiaI11dW2a2O+9lNZIiXXl+XMvJYLWuLxkXXn+nN492X5PKa6tK73Tu0cdDkyTe6XEujLP9O6Gw4GUPF0ErTEMatoryyXbRq1OTk7ud+7k5ORP3zSxLKyro2FgGGjNY549c0ME+72jWj3o4oIID4pgnlkWUnLt8pLnzz1Z7/TOspAS00Rrnqx3SqEUR8tCa56sdy4v3bAsjCO9e1DvXFx4UCksC/PslpQ8LILdjnFkHB1tG+vKNDk5OXncuZOTkz87KVErV1fUSgTDQGv07i4p0btr+z0R1OpR00TvRLhTBPNMKZTihlJIid49KoLWWBbXauX5c08SQWtcXro2TY52O4/qnQhKcUNKrCvz7F4RRFCKR5XCsjAMrvXOxYW7RdAaw8B+z+Ul20atpOTk5OTpzp2cnLw7TBPLwro6mmeGgdaI8B2lEOGoNSJYFk82TfTuTvs9KVGrO9XKfu9RrVEKpbiWEtNEax7VO6VQihuWhXkmwoNaY5rcqRSmiXF0pwhS8mSlUCvj6CiClPyxCFpjGBhHR9vGujJNTk5OvjfnTk5O3l1Sola2jXV1NAwMA60RISXmmQiWxUu5uOBwcMtux27HsrjXNLHbEeFeux29U6tbauX5cw+KoDUuL92SEs+fM8/uFUEEtbpXrY5ac8vhQCleyjSREuPoKAlaYxwZRyJYFraNWknJycnJ9+fcycnJu1dK1MrVFevqaBisMbjozXLZfS92OzdE0Brr6lHTRO/uFMF+z7K4U0pME625V++UQinuVKuj3t2pd1LyqHWld3p3Q+9cXHg5EZYaLqNZYmQciaBWto1loRQnJyfvnHMnJyevhpSolasraVtNE+aZYWCeac1TTBMpEeEognlmWUjJoy4u2O/dqTVKoRT3qpXnz90pgta4vPSgWplnd9rvqdWTLAvjSO+OIoigFI+LYLdjnhkGxtFUQlkr28ayUIqTk5MfjHMnJyevnpSolW1jXUmJ3jk7Yxhojd7dpxR6J4J5phRK8STTRAS9u2G3o3dq9aCUmCZac0vvlEIpHlQKpTDPboggglI8SUqsK/PsKIKU3C2C3mmNcWQcORy4uGBd2TaWhVKcnJz84J07OTl5taVErawrV1esq6PWODtjGGiN3n3HxQWHA61RCrV6KdPEfu9aBK2xLJ6kVp4/d0MErXF56UmWhd7p3bXWmCYvpRSmiXGkNUrxRyLY7ZhnxpFhYJ6JoFa2jWVhmijFycnJn65z7yHf/OY3felLX/L66697Gf/u3/077zUvXrxw8s578eKFd72UqJV1ZdtYFketcXbGMJjeaNKuSdHV6qXVym7n2jwzTZTiSVJimmjN0YsXL/ROKZTiyZaF1hxFsNtxceGl1cuQhNR3LvvMODKO7PekRK1cXbFtLAuleLd78eKFk3feixcvnLw7nHuP+MIXvuATn/iEL37xiz75yU/67Gc/6yn+xb/4Fz71qU95r3nttdecvPNee+01r5SUKIVaWVeurlhXb6tTqBpnZwwD80xr9O4pSmG3Y7cjglq9lFp5/tzRP//nv601Li+9lFIctUYEpVCKh0Ww27HbMc+MI8NgidEyHaTLC2pl21hXaqUUr5rXXnvNyTvvtddec/LucO494M0331Rrtd/vffrTn/b5z3/esiwiwn2+/e1v+/Vf/3X/6l/9KycnP1RSolaWhXXl6op15eLCUWucnTEMDAPzTGu0Ru9EeNvlJfs9rbEsXlpKTBOt8T/+x8eUQile2rLw/DnzTK2IIILe2e2YZ+aZceTsjHFkv+dw4OKCWrm6YttYFqaJUpycnLy7nXsP+PKXv+yDH/ygD3/4w972oQ99yMc//nFf+cpX3Oc3f/M3fehDH/JP/sk/cXLyQy8lpolaWVeurlhXloWLC0cRtMYwcHZmaoPaRzVmZT/TGq2x29E7vRPhIbXy/Dn/9b/+mstL94sggt7pnd2O3Y7WpDbbymyJUZkHhoFxpDUOB1Li4oJaubpi21hXloVpohQnJyevnnPvAd/+9rd99KMf9d0+8IEP+MY3vuE+/+gf/SP/4B/8Az/+4z/uMR/72MfknOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWcvS3nLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yznLOcs5yzn7G05ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5ZzlnOWc5Z/mv/TX57/wd+Z/+U/m3fkv+2tfk//yf5Y98RP7IR/zC2Zn/63/7f/0//+v/7cUXvuDFixdevHjht//e3/P1X/olX/+lX/KHH/mIP3zf+zg74+yMszPOzjg784fve5//5SPvsxl84//7P/zv/+f7/OH73sfZGWdnnJ1xdub/bw/+QjKh10WPf9cv2ZJ4ISIG07kYSnq8C0YccZgMDrWxTV0sGELnRoKYjReLdRWcnMiLor1EA20NeYgOIsHuRujCmyXYDv+8XogNTFicr8ZalqwtAzFaFxET7zublxj222zXXnEuOr3T8/nwm9/w18ce46+PPcZf//Ef2f6nf+KD3/+eD37/e/74xz/yv/70J/73//0T/+d/fM7//M1viMceI/7hH4h//3dia4v4138l/uVfiH/+ZyKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKoiwgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAjqIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAjOnz/P/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</div></div></div></div></div></div></div></div><div class = 'S5'><span>Having defined the</span><span style=' font-family: monospace;'> model</span><span>, we now call </span><span style=' font-family: monospace;'>solvepde() </span><span>to obtain the potential </span><span style=' font-family: monospace;'>u</span><span>, which is available as member NodalSolution in the structure</span><span style=' font-family: monospace;'> result</span><span>, which is retturned from </span><span style=' font-family: monospace;'>solvepde()</span><span>. Likewise, the gradients are available and helps us to define the fields</span><span style=' font-family: monospace;'> Ex</span><span> and </span><span style=' font-family: monospace;'>Ey</span><span>. From Equation 6.7 we find the magnetic field components </span><span style=' font-family: monospace;'>Hx</span><span> and </span><span style=' font-family: monospace;'>Hy</span><span>.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S2'><span style="white-space: pre"><span >result=solvepde(model); </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >Phi=result.NodalSolution;</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >Ex=-result.XGradients; </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >Ey=-result.YGradients; </span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >Hx=-Ey; Hy=Ex; </span><span style="color: rgb(2, 128, 9);">% eq. 6.7</span></span></div></div></div><div class = 'S5'><span>The function </span><span style=' font-family: monospace;'>meshToPet()</span><span> returns information about the points </span><span style=' font-family: monospace;'>p</span><span>, the edges </span><span style=' font-family: monospace;'>e</span><span>, and triangles</span><span style=' font-family: monospace;'> t</span><span>, which we need to display </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);">Φ</span><span> in the first plot. Subsequent calls to pdeplot() then shows the </span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S2'><span style="white-space: pre"><span >[p,e,t]=meshToPet(model.Mesh);</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >figure; pdesurf(p,t,Phi); axis </span><span style="color: rgb(170, 4, 249);">square</span><span >; view([70,30]);</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S9'><span style="white-space: pre"><span >xlabel(</span><span style="color: rgb(170, 4, 249);">'x [m]'</span><span >); ylabel(</span><span style="color: rgb(170, 4, 249);">'y [m]'</span><span >); zlabel(</span><span style="color: rgb(170, 4, 249);">'\Phi [V]'</span><span >);</span></span></div><div class = 'S7'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="D826C1BB" data-scroll-top="null" data-scroll-left="null" data-testid="output_2" style="width: 1364px;"><div class="figureElement"><div class="figureContainingNode" style="width: 560px; max-width: 100%; display: inline-block;"><div class="GraphicsView" data-dojo-attach-point="graphicsViewNode,backgroundColorNode" id="uniqName_333_14" widgetid="uniqName_333_14" style="width: 100%; height: auto;"><div class="ImageView" id="uniqName_333_21" widgetid="uniqName_333_21" style="width: 100%; height: auto;">
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">
</div></div></div></div></div></div></div></div><div class = 'S5'><span>Subsequent calls to </span><span style=' font-family: monospace;'>pdeplot()</span><span> with the option </span><span style=' font-family: monospace;'>flowdata</span><span> then produce plots where arrow indicate the direction and magnitude of the electric and magnetic fields.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S2'><span style="white-space: pre"><span >figure</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >subplot(1,2,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >pdegplot(model); hold </span><span style="color: rgb(170, 4, 249);">on</span><span >; pdeplot(model,</span><span style="color: rgb(170, 4, 249);">'flowdata'</span><span >,[Ex,Ey]); </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >xlim([-0.12,0.12]); ylim([-0.12,0.12]); axis </span><span style="color: rgb(170, 4, 249);">square</span><span >; </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >xlabel(</span><span style="color: rgb(170, 4, 249);">'x [m]'</span><span >); ylabel(</span><span style="color: rgb(170, 4, 249);">'y [m]'</span><span >); title(</span><span style="color: rgb(170, 4, 249);">'Transverse electric field'</span><span >);</span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >subplot(1,2,2); </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >pdegplot(model); hold </span><span style="color: rgb(170, 4, 249);">on</span><span >; pdeplot(model,</span><span style="color: rgb(170, 4, 249);">'flowdata'</span><span >,[Hx,Hy]); </span></span></div></div><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >xlim([-0.12,0.12]); ylim([-0.12,0.12]); axis </span><span style="color: rgb(170, 4, 249);">square</span><span >; </span></span></div></div><div class="inlineWrapper outputs"><div class = 'S9'><span style="white-space: pre"><span >xlabel(</span><span style="color: rgb(170, 4, 249);">'x [m]'</span><span >); ylabel(</span><span style="color: rgb(170, 4, 249);">'y [m]'</span><span >); title(</span><span style="color: rgb(170, 4, 249);">'Transverse magnetic field'</span><span >);</span></span></div><div class = 'S7'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="B44A60E2" data-scroll-top="null" data-scroll-left="null" data-testid="output_3" style="width: 1364px;"><div class="figureElement"><div class="figureContainingNode" style="width: 560px; max-width: 100%; display: inline-block;"><div class="GraphicsView" data-dojo-attach-point="graphicsViewNode,backgroundColorNode" id="uniqName_333_15" widgetid="uniqName_333_15" style="width: 100%; height: auto;"><div class="ImageView" id="uniqName_333_23" widgetid="uniqName_333_23" style="width: 100%; height: auto;">
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">
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<!--
##### SOURCE BEGIN #####
%%
% Companion software for "Volker Ziemann, _Hands-on Accelerator physics using
% MATLAB, CRCPress, 2019_" (https://www.crcpress.com/9781138589940)
%% TEM-mode in a coaxial waveguide (Section 6.2)
% Volker Ziemann, 211113, CC-BY-SA-4.0
%
% *Important:* this example requires the PDE toolbox!
%
% The central conductor present in coaxial waveguides causes the fields to be
% purely transverse; both longitudinal compenents $E_z$ and $H_z$vanish in the
% region between the conductors, which forces the transverse fields to obey Equation
% 6.6 and 6.7. This in turn implies that the fields can be expressed as derivatives
% $E_x=-\partial\Phi/\partial x$ and $E_y=-\partial\Phi/\partial y$ of a potential
% $\Phi$, which obeys Laplace's equation $\triangle\Phi=0$ with constant potentials
% specified on the metallic boundaries.
%
% In order to solve this problem, we define the domain in which to solve $\triangle\Phi=0$
% as the difference between two concentric circles labeled |outer| and |inner,|
% create the |model| and add the geometry |g| to it. The only difference to previous
% examples is that we here define the region of interest as the difference between
% two regions.
clear all; close all;
outer=[1;0;0;0.1]; inner=[1;0;0;0.02];
gd=[outer,inner];
ns=char('outer','inner')';
sf='outer-inner'; % difference
g=decsg(gd,sf,ns);
model=createpde(1);
geometryFromEdges(model,g);
%%
% After inspecting the |EdgeLabels| and the |SubDomainLabels| we use the first
% to define the potentials |u =| $\Phi$ on the inner and outer conductors to be
% 0 and 1, respectively. The Laplace operator in cartesian coordinates is given
% by the the second derivatives, which we take into account by specifying |c=1|
% in |specifyCoefficients()|. At this point we can generate the mesh and display
% it.
pdegplot(model,'EdgeLabels','on','SubDomainLabels','on'); axis equal
applyBoundaryCondition(model,'Edge',[1:4],'u',0); % outer
applyBoundaryCondition(model,'Edge',[5:8],'u',1); % inner
specifyCoefficients(model,'m',0,'d',0,'c',1,'a',0,'f',0,'Face',1);
generateMesh(model,'Hmax',0.01);
figure; pdemesh(model); axis equal;
%%
% Having defined the |model|, we now call |solvepde()| to obtain the potential
% |u|, which is available as member NodalSolution in the structure |result|, which
% is retturned from |solvepde()|. Likewise, the gradients are available and helps
% us to define the fields |Ex| and |Ey|. From Equation 6.7 we find the magnetic
% field components |Hx| and |Hy|.
result=solvepde(model);
Phi=result.NodalSolution;
Ex=-result.XGradients;
Ey=-result.YGradients;
Hx=-Ey; Hy=Ex; % eq. 6.7
%%
% The function |meshToPet()| returns information about the points |p|, the edges
% |e|, and triangles |t|, which we need to display $\Phi$ in the first plot. Subsequent
% calls to pdeplot() then shows the
[p,e,t]=meshToPet(model.Mesh);
figure; pdesurf(p,t,Phi); axis square; view([70,30]);
xlabel('x [m]'); ylabel('y [m]'); zlabel('\Phi [V]');
%%
% Subsequent calls to |pdeplot()| with the option |flowdata| then produce plots
% where arrow indicate the direction and magnitude of the electric and magnetic
% fields.
figure
subplot(1,2,1);
pdegplot(model); hold on; pdeplot(model,'flowdata',[Ex,Ey]);
xlim([-0.12,0.12]); ylim([-0.12,0.12]); axis square;
xlabel('x [m]'); ylabel('y [m]'); title('Transverse electric field');
subplot(1,2,2);
pdegplot(model); hold on; pdeplot(model,'flowdata',[Hx,Hy]);
xlim([-0.12,0.12]); ylim([-0.12,0.12]); axis square;
xlabel('x [m]'); ylabel('y [m]'); title('Transverse magnetic field');
##### SOURCE END #####
-->
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