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README.html
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<body>
<h1 id="mcpanel-imputation-estimators-for-causal-effects-in-panel-data"><code>MCPanel</code>:
Imputation Estimators for Causal Effects in Panel Data</h1>
<p>Fork of <a href="https://github.com/susanathey/MCPanel/">Athey et
al’s MCPanel</a> package with additional imputation methods for causal
inference in panel data. Supported imputation methods:</p>
<ul>
<li>matching (via <code>filling</code>)</li>
<li>kernel matching (kernel PCA via <code>kernlab</code> followed by
<code>filling</code>)</li>
<li>dynamic factor model (<code>dfms</code>)</li>
<li>sparse dynamic factor model (<code>sparseDFM</code>)</li>
<li>matrix completion</li>
<li>two-way FE / DID</li>
<li>synthetic control</li>
<li>horizontal ridge regression</li>
<li>vertical ridge regression</li>
</ul>
<p>These methods can all be implemented using the
<code>imputation_ATT</code> function. Inference can be performed using
the bootstrap / jack-knife (when number of treated units > 1) using
the <code>boot</code> library [implementation in progress].</p>
<h2 id="example">Example</h2>
<p>using Abadie, Diamond, Hainmueller (2010) California Prop 99
data.</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a><span class="co"># install.packages("apoorvalal/MCPanel")</span></span>
<span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a>pacman<span class="sc">::</span><span class="fu">p_load</span>(MCPanel, synthdid) <span class="co"># for data</span></span>
<span id="cb1-3"><a href="#cb1-3" tabindex="-1"></a><span class="fu">data</span>(california_prop99)</span></code></pre></div>
<p><code>imputation_ATT</code> takes a panel data set, identifiers for
unit, time, treatment, and outcome, and a vector of method names (must
be supported by <code>imputationY</code>: includes
<code>"did", "dfm", "sdfm", "knn", "kknn", "nuclear", "hardimpute", "svdimpute", "optspace", "mc", "sc", "env", "enh"</code>).</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a><span class="co"># call all with defaults</span></span>
<span id="cb2-2"><a href="#cb2-2" tabindex="-1"></a>est <span class="ot">=</span> <span class="fu">imputation_ATT</span>(</span>
<span id="cb2-3"><a href="#cb2-3" tabindex="-1"></a> california_prop99,</span>
<span id="cb2-4"><a href="#cb2-4" tabindex="-1"></a> <span class="st">"State"</span>, <span class="st">"Year"</span>, <span class="st">"treated"</span>, <span class="st">"PacksPerCapita"</span>,</span>
<span id="cb2-5"><a href="#cb2-5" tabindex="-1"></a> <span class="co"># method specific arguments are passed as lists</span></span>
<span id="cb2-6"><a href="#cb2-6" tabindex="-1"></a> <span class="co"># check docs for imputationY for details</span></span>
<span id="cb2-7"><a href="#cb2-7" tabindex="-1"></a> <span class="at">dfm_args =</span> <span class="fu">list</span>(<span class="at">r =</span> <span class="dv">4</span>, <span class="at">p =</span> <span class="dv">1</span>),</span>
<span id="cb2-8"><a href="#cb2-8" tabindex="-1"></a> <span class="at">sdfm_args =</span> <span class="fu">list</span>(<span class="at">r =</span> <span class="dv">4</span>, <span class="at">q =</span> <span class="dv">2</span>)</span>
<span id="cb2-9"><a href="#cb2-9" tabindex="-1"></a>)</span></code></pre></div>
<pre><code>## Converged after 67 iterations.</code></pre>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" tabindex="-1"></a><span class="co"># The print method returns ATT estimates.</span></span>
<span id="cb4-2"><a href="#cb4-2" tabindex="-1"></a><span class="fu">print</span>(est)</span></code></pre></div>
<pre><code>## ATT estimates
## DFM sparse DFM knn kernel KNN
## -55.30 -55.42 -26.69 -23.23
## did matrix completion synthetic control elastic net (V)
## -27.35 -20.00 -19.46 -11.49
## elastic net (H)
## -18.86</code></pre>
<p>The plot method makes an event study figure. The legend contains ATT
estimates, and its width may need to be customized.</p>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a><span class="fu">plot</span>(est, <span class="at">prec =</span> <span class="dv">2</span>, <span class="at">twd =</span> <span class="fl">5.5</span>)</span></code></pre></div>
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umfIm+7PXa9/YGLf3t+v9ixIsydygblkc/HQ0EKBkmWuSx3VLWm8Zoa5nAkzEA6Y8JLo2P2bFq089SqAgDowIsvvpienr5kyZKeDgQAoDsgwUiamOwiuqdncwyLzvqHGU/8eNUP/737xRRjysJRtyb9KfZ59ry9f7msyb+c/KDAhEn6p4hovXwXRVMLoqcv/ldZ09GypqPlTWXRjSa5yRtqiKlnR822R9f/xmVy52b3y7X1y7EOHKDPzNanGmVOwYC6alX8U2tFu7V164iILBaWmsZSU1laKnOnktmc9P8mAMDpwBgMAOhTkGB8x03KnvLwtEd/8fnSpzY/6TA4LxtyZVKqDSrBj4s/fGv/m7vrdhKRQTTcO3GpRWfdtGjnhJdGR1OLqAmZ50zIPKftuSElZJSMMRUebTpyoGE/NdA3tK7tfpfRNciZ/zeaFFM+tOj6LXs+HuqUHM2qzu/nfj8vLYke8uu5KXuA/vyZpNe3lt9UteHprX8LqyEi8sk+IipvKov/f014aXS0EUPjWmVzhcvkNkmn2DwCANAKYzAAoE9BgtHFlBDF3Ux3s1kDL/aFGx9d/5vfrXvIbnDM6H/h6dR2oGH/2/vf/ODwe81yMxHZDY7C/EsXDLvGomv5ce6EvYziswsimpd/6dj0s0obS1qaO5qjzR1lnpDHU+WZpN8YbRWJmqR/ipa15DBMYLk6xwiePpynD+Npw7R0q6ynkiN8TAPLyGg9ZUPlN7trttu43sOCbZ83ttpv/XXLky/veoGIbHpbmjkj05KZbs5It2RkmjMHOvPGpI3t4D8Y0/MK3a4AAGMwAKBPYX1nbdHJkyc/8cQTkybF/haeLPFdpIiIJCPLPo/lnk96exc9byf9a8cz/9j6V71o+MtFf49pUuikxrD33tV3b6vZEn04Nv2s+UOvumjgbL1oSGqkx3DitYGaZrnp6neviD86f9jVnGt60WAQDURk1pklQUdEA8l9Xto5UkZW28KKpvjff8dS5VGMetXljLgcqjvF8dmGmDpbB46vLv3k71ufqmyuCKvh+Kf+d+FrI9ztpsCqaC7fVLnBZXJnWbOviYsWOQZAH7d06VKMwQCAvgMtGEkjXPBkTI7BUobyhv38yCpe9hnLPIcNnNODacb/jLm9IdTwnz2v3Lv67tcvezvD0vGCeglU+Su312y16W3fy79k/tCr8pyDuyLOthixdHNGujkj/tDJ3rJLgmTLzdM8zVJIlipqDBU1HZefOWDWzAGziMgXbqwJ1FT5K2sCNbWB6ip/pcDEAfYBMeX/tOH3nx9de1Ih9QXRxhzkVwBE1Hd+zgMAQAtG0pTl9COi7FfmRx9W3LCciHL3fsWPfMprdxJxlj2FDb26i569MzSuPbLu4U9KPnr1kjdybLknPiFORXO525Rq6LImiw607Xd0Ojes3OejulpeW6ft2J6wwKnNfruzdsc7B5bXBmq+Lv8yYYFefpPdOvgkiRW2fZjEyltr7uWXFKDVhJdGl71WpbNLGXNT8b4FgL4ACUbSRBOMGLnlR4mIAjW8ZjNLHUvW7C569iQqbSx5a/8b5c1lvz7vN/ae7tnVpWLW76MkrREeP/vthoXbBSa03fPYhv8taSwe7h4xwl0w3D0yu+feGF2RCcRfgS6qGfdqkFzJ+iEjvs7WBCOJNQMA9FroItW1tPp6we0mczobOLenY4kV81Ua0SJrjqx6a98bm6s2cuICE2r81d/tBKMDvK5OW/c1y8xiQ4cwh/M0a4vJLoho7dHVlc0V6yq+ij60Gxwj3AUj3AXDXQXnZk+26W3Hqyq5nY7iM4EJL43+7/yPVK40y80RVY5okbHpZ0lCuz8UjWHvS7teaJZ9PtmnaEogEgirYVkN+yN+Irrv3PsTPtcFyyYLJFj1NsaYXW9nxKx6m1Ey3THu/w11DWtbMqSEPji8gogkJpp1FkmQogNsblt5c3y0uFeDZIn5OJz+u0vl6s7alpZS5zibYIz9OwAA8F2FBKNrVY6faLz4Ysv11xmnTSWh/bcLV7WNvycmsX4zWPp4EsTuDCz+q9RldHlCHiIyS+aL8763YNjVg1OGdGdI3U9afFvbRox2zRcNDbyqildV0batLD2dDRki5OWTsVMTgkXn6m3dTljmlcLXN1dv2lu/Z0/97r31RZ6Q55uKdd9UrCOiszMmPDvnhfhT2r5knUwzZFVukn0+2dcU9jXJTT7ZF1ZDM/pf6DB0lDJduvzitg/vPPtHt45e3HbPl2Wfv7zr+eOdXtlckXB/dNqxljmC2+wflz4uJsFYWfz+I+se6iDCGE1y038Pvm3RWVJNaRmWTLcp1WV0df70KPS8OrMksS3LJ/uCkUA0Pe7YwYYDz+941hv2KlokqATDajishoNKUFEjjAlPXPjXmPnlXt71wt+2/Dm6bR1maRv8xkU7GLFTjhkAoJdDgtGFTLNnBVevCa5YEVyxQszNddy3xLxgfrsSTCR/Jd/7Ki/+gPWbwbImk6g/TmVdzhPyDHUNnz/0qrl588w6y4lP+E44Xp8oNmSIaLPxA/u1w4d5TQ2vqdHWrWP9+wtDhrL+/WNzxTgnvN2JzhfcOmVwTaB6T33R3vqifZ59k7InxxQORPyPb/xjfCWfH10TVIKTc6bGNDQVNx6+d/WPagLVISUUf9ZR35G7xv+4g9gyLVmSINn0Np2gsxsck7KnxBSYNXAOJy6rEZveJjLRqrfqRb1BNJols0VvSTWlPbLu4fhq11z3NSfeFPZx4k1yE+dac6RZYMK49LNjSs7sf1Flc2VDqF7RlIASiKiRoBKMaPLW6i0JA15x6N0n2l8fnaBLNaelmdNzrDn/7+y7My1ZCU9sFZO8Icfo5RL2wYuqbK7whr1Nsi8QCQQifr/iD0QCvnAjY+z6goUxmefq0k9++cX9cqKZ4lqfqO2b4Yuyzz4uWZmwpFEyKlokZuc5Wef+7dvtUEWY6ZghreUv/NXvXP7SvFf7zl9aAOhrMAYjyVpHYkRHX6jV1YHX3/Av+49SWqofNzb9/RXtSnPOPUW8ZCU1HSUikows8xzW/6JumGyq63rJf9coCj9Squ0/wMvLSNOIiKWkiAuu6s4QdtXtuPn9G4539PqCm34ycWnbPdtqtty28haNa3pRb9PbbXqbXW+3Gex2vd1pSLl2xA2tQ/zPrMESx4vWF258fe9/ypuP1gXqagLVtcFaX7ixtcCvpjwUs77k+oqv/7L5Cbvenm5OTzWnJ2yNwWeh1/JHms9/NTYJJ6JNi3b+98DbD3/96+OdeP+kX80f1m6ajVWlH//i858aJaNZMpt1lpLG4oTVtm7Lqryhcr1e1EuCZJLMelFvFI1GyagT9WbJHNOTsFX8GIxMS1ZQCb51xXsdtyUCAJy5kGB0C87lbdvEtDQxN+HcTZzXF/Ejn1L0603Us5xpLK+QurIBHQlGiwfbXOQHO/wsBALaoUP80EEyGMS53+vquGIkfL2m97vAaXBeX7AwvjNbQAkIJCRc07Djmnv5e6CT0cpquCZQUxesbZKbpuRMFVm7/oevFr2csEWoMzVD91O5eqjh4K66Hbtqd+yq21nSWKxxLb7YpkU7t9VseXTdb/Si3qq3mSWzWWc26yxWndWqt6UYU+bmFXY8A178pyyJg52a9/kFo2AeYIrWqXEtfmjWjpptblPqqU3xBwDQqyDB6AIPshPcqn4rtHqN/9VXTXPmmArnMaORGg/zI5/y+j1EJEx5mNqM9G1dYUO44MmkxNh1X6VdJGaSrpbpuU7Tg3EpXOdeuFic8+pq5naTTnf6QR1Pl75kfW3BiiO+0srmirpgbXWg+u9b/hJfoO2l2FC5/v1D7w10DMpz5uc583OsufG3ht8BMcv4JOtPzenwhRt/8flPt9VsCSrB1p160RDfqakrpj3o5o/DIe/B6BqdI1NHXzxozkUD56Sb07szAACAJMIYjKRqvWGNbpzobjW0enXww5XBD1cKv/q1+YrLLddfpxt9G/NXkRJozS5ivvW1tfck5Yu/7UBk6vV3lgmnAO49tP37tc8/I0liAwcJQ4aoH34QUyAps9/GSNpL9iAjok2t26eWYp1p+tsH9P92tcSECUZb7+xf3rbnvV40DHLk5Tnz8pyDz8o4O34MSVtnytjxmL8z3U9Ww5Kgi8ncKv0V6yu+5sT72weMSh09MnX0qLTRQ13DJ/+7o2t+Ou4d82EX1VxUVGQymQYNGnS8Av1s/S4dcsWnJR/vrtu5u27nk5seG5d+1uxBcy8cMDvFmNJFUQEAdBG0YCRP/M/hdIIcg4dCgXfe9b+6TN68ObpHP2a0+brrzFdcLtgSJxhRveHHxQ7EDEQ5NUrpEfVIqVpTq9bXNz6UYNBw28q1pqbmZ5/j4TARMZOJ6fVExMxmptMxo8F48RzBZo09P+HrRUQjr6KMMTR4DmVP6GSovMmnffY5r0w8exJ1TYKRNMlqxulOyU6EOu555Q03fHZkzWHvoUPeg8WNh6v9Va2HBCasvGq1y+Q+YZ3x1fYiSkD78ufxu5Pyd+Z4P2RoXCv1leyq3bmrbsfO2h2HGg6cmz35Lxf9I+b0I75Sh8GRcKxC0pO3ZVvLiOj+17cT0aNXjyWi685KWm+lpUuXpqenL1mypONiYTX8VdnnHxWv/LLss7AaJiKRiZNypvxm6qN2gyNZwQAAdLVe14Ihy7LP5xNFMSXlO/Gbzd53KX0UpQyiRH0qmNFoufYay7XXRPbt9y9bFnhzubxjp7xjZ+PDv3H84ufWW24+brWNxWTvT6xbZ7btjLKcfrmLy3IXt3kYn2NwrtbVa/X1Wm2NWlOrNTSY5n1PzGo3z0/4669rr7om5ryYVdLbCq1e43v8iYQhCQbNsX+OpXAmjbq2dS7g0Kef1j2Xm7u4LDb+53JzF79Bu9+gr/5AP2sk1qlhMMxmFwsLqblZO7Bf27SpM6f0CppKDx//L4AqE9eoE6M4utVJNhJ2Usd3qE5DStth4s1yc3Hj4UPeA8XewyadyRn36/IdH/3PjtoE68T3lvmpVJkC1dxfSf4q8ldwfxWFvccry498SmEfWbOZNYcsmSScXCfA+OmwX73kzVWln+yq27G7bmd05uIokYm5tgQNla0NTbEeZMn6pHFOIUU1SML9r28vMRReFx2m8S4NDK+gpOYYnfk5zyAaZg6YNXPArEDE/9nRtR8Xf7i+4uuvyr4o8ZXEzIFLPdqhCwCgY70lwTh69OjTTz+9bNmykpKS6F9hg8HQr1+/BQsW3HbbbR00K/cqG8cXtW5P3FxARPSfy4mIdCZKK6DsCTT7T6SP+ymdSDdsqPPBBxw/vz+48iP/q8vCX30lb9lC3yYYm5tuby053vYMEWlb/0yinjnyyDmYuQpObYHwje/tORbtJSNOoYZ4uYvL2l0EKojmGFpjo/dn90cOHNTq69X6elLVtmdFDhxM+d9H2+4R+/U3TDqXBFHMSBdSU+0XNGxuur2yqeXo+FeIzm+XTpi+Nzflj3/QGhqIiAKNglwiauVCpFhiFQLzkvw8vfU8WdIpf1a0vDSkZVR0/EvmWeuyXT5Jd9682OxCjdDz51GwgTLHUsYYSh9NmWPJOehYMatVOOvsaIKxNXNa63lnVX0Rc5X44cPc62VOBzkczOEkqbMfw9N9ybhGdfuocjNVbKbKzVTRMutr/EWQN23UrbmC+cvJmkH2fuToR47+5OhP9n5kz6Wss06YeAy8//03puSdVrTxHmSx0SapKaPthaUTRWvVW0enjRmdNuZ4BRwGZ3SQwD9cr7fu/IHnaiJ6a/8bVw493SnITudtwA+9y4+uJWp/0UQ9qXL83xniGi/5iLQIRU9gApnTmTWHLNlkzWHO/M7kG20vQtYdsy+nBa0PMy1Zo9JGj0odMypt9HBXQWfmJGjxIDu1t4E3GPEE5YCshiJaIKIGI2owooYUNXrnX2IobFttyeaCZXT0q+J6l1nvMutdZp1OPMWxNxvf21N1qD5Uyze+t6eTL5lZZ5mbN29u3jyf7KtqroxZK4a6YFWnLXwAACAASURBVFlAAIAk6hVdpLZu3Tp16lS3211YWDh8+HCXy8U593q9+/fv/+CDDxoaGtasWTN2bOyPNyerq7tIxdyjENHEzQW7zZNzlBKnXBndo938uTBwWrtCzVVUtY1SR5Dz2A91msfD7HYmSQmrHW97hiyZ5K9uuUtgojDlIdIlyFtOLtpTvQVUy8sjhw4rhw4pBw4cmHxjbLWbC+hBLm/dWlN4aetOweUSU92CO1XMzBDT0qTrr1f6DRAYsxm+vdXWFNJkIjpcXf/lwfoRvti5X676+vBP5gxbPGWQSSdSJMC9B4g4VW7jnz3CPIcZP5bAcJ1FzRin9Z/Kpv9aZzQTETWX85qt/Minbe+oosbbnvE873Xc/1PdiHZXQ9640f/yC4701wTV0+4Eg43SR1PGGBq/mLJa+oWf8NoqL79E4TajVK1WFs00nE7Wrx+zJ56k+HReMh6JaO/9VNz9NKnBmENt76iiRjvq6q67PnVunSE7zIQEfx+8aefunrtigMuS6zQd21t/gJQQOfqR0RmTXXQUraZW1tTwkDcSalKCPiHiVwOeevekiCktxawfmd1yKbivnt67nR1YHh9tRsXSysEL69Kn5qdZh2e2WQE9EiQmkNTRrEEtVyDuwh432k7zR5qLViboH/ioct9bV6yI2VneVMaJ59hyO7Py2gneBpxTqL6ldUINsYFzYnIAvu8/vHojmTOYOZOs2WTOZJYsMrk2vrc3cbXN5dyzl5rLub+CAjXUZvomljqKjfp+68OgEixtLClpLD7ceKi0saS48TAjWiI8ElPtDzxXXzv85uHuMROzxmZYTnEQc8I/ttq4W9WQL5w+rm7cj0OK6jLr063fvvo7XqF972qcl3gC/rCialzVuMq5qvFSNuBf+pvDEe1IvT/Bm3ZzwSOuP0ZMqYo5U7Cmu532gW5LntuSYTemWvSdnOYvGu1TL/7JaXfddOWtlIx8G9MAAkAv1ysSjBkzZphMpuXLl5tMpphDiqIsXLiwtrb2k08+6UxVXq/3eP+jiy+++NFHH73wwguJSJblUChkt9uTuP312ztkOWwxW4kookSi27t5haIoPBRINaikypH+E+cUZLQ9N/zmorA6MKLwgMp0jlTZ4AjqzEHBbErNkizW/PzBWz7YH1MnEem3rAxbdI5sl2TTyYy8Bqc51SWIwoBBecSZ3W4nf6UcCoYkFwl83/5DclgOhcNms4WI5IgcCsmuYFZMnRElMurCgSqP7N13KCJHZFm226xEFIlElIhss1pFSRiUl99Sv6LUPPCg75sNDmdV0/i5qqhGKGKz66py/iemTlkOX/C9DF75TaiyMhTyGcq+qDFMlTUhpHGr2aKJuiOqpTlCOoujUe8YN3Zkts1s83zNSz6SFSUkq0aTq1YuOBoYFX9tt6llowpGjMy028re4TVbZEUNH9llqtpXk3ZtRDCGmcHqSOEGywYloy7MTWYzCWzyuFEZNqPt6HJeu11W1PX1C2PqHG975sPg3EZZM5stgiRMPWuUJAg2pUL+6PmmDTuCHr/JbGgcNE0RImFRdlgFkSIRRQ0rKnf3rxo47exRI7Z+mOD1arTVyrJstliISFUU0R9KZXqDomX6ayJ1NXaDgYhkRQkpijEze/uA/hE5EpFlW+v1D4XM/sSvlycYPLD/sBwOB8Jho9GsaRoLNiqBJsWZozE6f/wYC1etst9z9y2GzB3c5tGbBlS7b5AjUjAsmixO74BZ8a/X9IsGNT70QGDfIX9lldEkBKd9T9WpESbbbHpBpwWNQokpvTptjML5+RNGZ9hMlqYm3x8estifDymq0ZZVlXZ9WerC+NdrD6u88NyxNoPObrXK69dqn31fbi43Wtw1addEFB5WVKtRT0QRRS0XXAezzotofNr40dkOk+6LLxvvv811afnXozfEX9vUsmfKRPehzCkRjZ8/cXSmzWS328lzSP7rmFAwIDoHVaZdG1Alv8qMFqsi6gOaUKnLYPZ0nU6YPn6MXhT2fVYef23rTTU2m4UxpilKJCLbrFaDXhw8eHDL+59I9laGGioELVhaFYzISjgcspn1RBSRlYDeZrY55DJz/LXNvsAarAxGZFmWZYvFQkS+YPOnB9fqTQbOtFL9gWxz9ph+Y4ekDO1vGSCookrK4YPFsiyHw2GzxcI5qWWG+Gs7YVyV7C0LNhwxaJG68NCIoobliNVsqrPn+LkUkWWL1aKTxPz8/Nb4w01N/rJypb62otqr+JqbzYPjr+2wC7JJ5covfxXZt19ubgoL3Jyf2zR+OjdKEQM3NJGXmw4OcZU1lJBBC6jNG/wf3WnNGntU0e3z+ku9vrJG5dH346/tHuWoxWoRRDbr3LEip8jSnyqlRxRBiYgh1WoMjz5fFVWZKTajyM1io9le4hhmNltNBmliQR6v2mDYsXGn+dr4azvY9x8iklXty7QLdSYrE2jOlHECCXa7nf5WIFftCSlktGXFvN/CKv/UMd1gsd285aKvx26Pv7ZZVc+2llcFqZo5N5tHWS0Wk0GaPXlsy/UMeWVPWUhyqkZz6aESJXLs9fWX6KL1bN29SafTD8rNs5itEy8ZcZrfO+c+f5ZoEoiIK1yL8Oj219dtTvr3Graxje0zeluWZav15H6AThreC9jt9jfffPN4R7/44gun09mZetasWZNyfKIo2my2I0eOcM4XLVrkdruTuz1v5uUOm/O951dv+G/R8bYLL70k5tzX//nXDsrPLSw8YZ0J6i85rH72k4UXj3DbTav+75lOnjtv5uVut/ufr77RQZnvXdISv3K06JrcVJdB2vD7W09Yf+mqJ9Q1dy+8eITbbui4fLT+0nWvqJ8tWTh3tNtuWv/Uzzoof/kVl7nd7tKdn2m7X1x02Xlup23VS0+d+Prs364dWdWZazL3kkK321368e+/jd/4zb//0mH5S07q9ZoX/f9u+VzdsXzhvGluu+WTl/55Eq+X3bTu5Y7+v9dMneG2WIpf/EEn449ul7z6Y3XN3QvnjHI7zGuXPdtB+csuv8ztdu979rmynJwbBkluI214pKPX95LLLnW73Xv/8lRFftbC0cxtoo7fD9HXt/j1n8nv/mDhhXknvCbR8iVffBB44ZFF461u8wnqj8bT+dfr0ssva/n8VmxZNO7E8cdvr3v8rg7KDJs+TLKKox8fNv7FUe6pKXqb7vGXOvX57eTrG70+26+/oWLUyGvcRpeOffnjH5ygvMu1MX+I92LHwgLmNtK6BxZ3UP7cmePcdmPJa7eqn965cOYgt81wgtfrsnluh+XgE9eojw9dNJZOeD2vLJwVrb+T1zz6/y16+DeND9x14/jBLovxwyd+f1KvV8fbV1z57fvhz/nR+Nf//vudPPc0v3favE+crdtd8b2GbWxj+4zevummmzq8ce5CvaIFY+LEieecc87f/va3hEcfeuihDz/8cP369af5LN3fRYqITINaesJwzkWdOGTwCJ3UrsdChadh+569kYhKcsgQ8hhCjWa5wRxptEW8EaLm2Q9EdtbHV5tV/mdOTNMEpnGuMk7MZ3VUSynGKTdNG5JBRLz4fWXHStEhKt6GemUIZzquCSGZmhV9vWZoMjuzzQm6nI0SS6q/eYrcAyVREwU1pr+GX9A1z/3tuH4uXrKSfztrp1pTVsfGcclMkl4TDZXq1PhqJ87O5vW7iYkkGfbt3V1fF5K4KmmKxCOCpoo8ImmyyJVwWv6Qmde1uz61e5Rnpta5Lz2auzS+Wrd9Z7/zroi5noGgv7j4INeOvatVjXPOOZGkE4cPLWhbPv4lq3E0aN9+IiRJvOjc8TpJR7KPe/aS7CO5uabe6/EZdaqi56oocK5otetrD02ZqIgiiULhlHP2fHo4PtTc8sdj9pRah+12jb906jlpdou25UnylVBznbDzXUVy1bkv0yQjiRIJOhKkg7IznVmbHAnetxOK56iBcJ1jLmfHRnFoikSmTDKOE0l0BasFvcSsdczqIy4QkyI2dyXP4Zw4iZyRpz7B6Kaz1TeYw0tMIyKFG+uVoZy3dD3XBNGbMSo67ESUxMGDh+skHQXq5I1fKBX1SqUvVFtXZ3b6x10SX61uUHjk8JE6SRfZv7f5r38QHKLk0EccjgZnPtNLgkSCSGFV78kcTIJARAa9NGJYgU4LaesfJi1CTNjsWxxfrZrjj27oddLoESN1oWpt059aog0qcoNWx4cpnKkCU0UhaDAw0jy2/mG9XaeXzh9/lk7SJfzktr5kGhP22ccetgxTGbv2wikOs5GIqKmC/nM5hRoPBe1h13RiokaCyiQi0kg4YB5ao08/V5dgyPJZ28+rc1/W9vXixLbZzjpsyg+q8pixtmb5kMuzVwh79ZFgiqR3sTSFhhFv+ShuCTkzWGxffCIaJb0T8Wq8Mrh5c7Ups78+ohhCYZ0aCbpNOyaM80l2IpI1umnWeWlWY+U5k+xD9liG+4lIkVKi8ZTl/CS+2jdML5QFi+srD/28+vD5amPb8m2Lrc2aphnTU6z2WedO1AWrtIbDbOW9rGIzJeqAR0TcXRWWLCaDbmxaRNz/KhGxfatYzV7SmRVzdq1zniaaNEHfqJi9JnejJS2osxGRXi/NmThSV7tJra7eWnVWfLWmfR/5rK7AmKGSwCSBWc36kcNHir6mijHj6NsPtWZ1BCddxMWW+LVxw7SZE6PboiQ2H4gdDTXyov5t/54wJcwFiTMxomp6gzhsyLd/Tz76Ce1fofkqNK6PuT6tF7b46CGD3pCdkUvfdhyN/y+clPheUp/f8I1ZMp9mtQAASdErEozly5dfddVVc+bMWbBgwYgRI1JSUhhj0TEY77zzzrvvvvvaa6/Nnz//NJ+lB8ZgnEZHW0XjRCQJLGFv44SnaOY0YWlN68Omv/09+NaytCnrmagkiDbui3/i5gJvzYWO9M8ZRYiImEB6MxlsEb9NzRjDCqZQ/ixD1igi4nU7eMlKpneQMYUMKQ2axavZwpJTEa2hrVUx1V719eGSR+ed1P+9nbJvyHNwY2nstPdJ+YZOwkvGtZj5wbS198QP7ci6Y3bag+dS0K/VeUMbjqQ8/AsquJKsmS11NBxofvLnQvCoxbyRKMESxS3RJnrJiEgL65RIqmrMp/SzhGEX6KbMFswmUhQynHj4ASW6CBMmOHl9Pa+rZE3VNDiHOfQU9lLIy8MNzOiinEK+YwdZbSw1lbndZDRqX/+aZB8RETHS28joJN+R+IvQcm01VfvmYQo3JgyGpZ/FChbF7o34SVNIbyeW6OMQ85IpIW3L82rtQUGvMl1sJ/nAmlLTnU+LGRnHdnFt44p98ZGMnWaLSDaus8iqxjlFNG7Riy1jhKIDhAQdCbojDcGNRzyKqnmDEUXhflkJK1pI0fxh5QaDPjbUzQUlA++PNB+1U52Ze/VKQygYFimwbvgDldnzhmXYzh3k4uWf8wNvsfpitmsFSToy2rnBwXVWjayabA5Uph2Y/IuYasfbnqm86U1DdliyK6JVFW2qZFVEmyqaWkYi/SB7yMY2bwZTmM9ubrxE9tTqTHkDZgf1ZwXMOSwYe8s+cXPBhEGjotsZpoyzTakjzFmX511q5ipFgqSEKNxIqkzGFBp9Xezl2/YSbfw7qeGNOcviq6VfySRG83xOvlJiIol6EnQkGUk0JpxwL0aCN+1UkaUMoZgfRSIBIgpv2h7ZtUvzNKgej1Zfr3k8WkOD6mnQPB7L1VelPNaSjpbl9Kt8+uOYarPumK0bPkzMyRWzs6XsLNNll0kD+h8vKlnVSqrrvfUVnqrSQEOFEKiTAtWFNX+NfnKfevFPKQ73jVfcQkQTqxaRwUEjrqThl5HtVKboaPlft88xpuWe/9jMv3wnV4EEgDNOr0gwiOj9999/7LHH1qxZ03YnY2zGjBlLliyZO3fu6T9F96zk3frNl6x5mWLnS4lmF/f7SFMo3Ehco2ADcZXCPnINJufAmLP5ztd50fvc56WmGlKamNak+cIkaJJUG1+tdsHdFGokOUAGG+ktpLeQKV0YfgOZ0zoZbMzo3tPNLlrFX4QkzU+a9Km0ynL6Zb8yP2ZCnsYPW6bH0byNhokTrN//n5izmv/5r9Dq1cQVQQoKYphJYUGQmRgWpLCUZtYX5NOu/1DcdE+RSc+Ko6YJucNPM+aTugjazp3a+nXHHlutLN3H9PXEQqT62w4CjrkILYsqcM53PM3DXmZwkMFBBmf0HzM4SO9MOMfa8aI9VufxKAGtqlgp2aNVFfOmagp5Q9uaHH/6Z+siM0TEa7fz3S8Ia//cem0nbi7QLribiIhYJDjMMPeOdnU2Hta2PEUswduPq7z5/QrHn16LtsBoa+85TrXH+Jbtcv7j42j5b2MONf7sOtZwyJa1h0kJfhqgRLN+FVW4C7LjmjpFHdn7eW1ZN0uhMh679DURSYL0vxc8fn6/GUQ04aXRbad7imYXD0393SBH3gDHQMtJziFxTLd8chP/neFc+/pXpATIkcfSxrDUMZRoMY22YnKMrDtmxxQwzpqV+uLz7XYpStM//8UkSczJEbOzxexsMS2ViCKq5glE6gPy9orG697tt3F80dbdm0xG8/D8gombC5ZddvS6d/v57FMO5D/lCK/vl6kYRs0jV/5JX4VvHW06csv7N3rDDbeNu/O2sT845XoAAJKltyQYUQ0NDRUVFZWVlUSUkZGRk5PjcrmSVXn3JBhdImYptKR8QydaZo4v/C8ZUsiYwoxuMqaQ2KmfwOMNvP/96EZysouotgH37pXgYtZGrLhh+eksOHhML1kRT1X54UO8to7X1XFPPUUixw4JTPzeRczCtC0J7vt76eqQ364xJ6z9c3RHNA3Q/BHi3PvS9tRln7WbR7jpaGTN75lITC8yXbufinlEa/6o1vGHV1oTjPhnkw+rWkjgpNdCjLhRHDzBfNmlMWUiBw4o+/YRkSCEGPewYKWgeViwkgXKWaSWPAcS/C++v46+eISsWeQcQI4B5BxAzoFky+5Ma0BUF85K1BV/vjqH71vGqzeTFs3TGNkHsLQxLHUsJVoYkdqsENoqe/dOtaJCLS9Xyiu06mrjxbP148a1LRDesLH2iivb7mEGQzTTkPrlWr//P7oRI2KugHbB3cK5D9D+92qL1pda7uBMJ2ihjNpXMtWvpeFzaMp9pIud7KQzttds/fHqu64bcePisXecuDQAQBfrXQlGlzqDE4wuEP15td2eC+7upbeAZ6C2dyrJyS6o1yQYbXHOGxupvo7X1fH6egqFhFmzmc2mPPesMCS2Qxcb+QuWktL5RT+6TcJMoOnrDGY06seNNc6cGVve41GOlhFjgsVMko6ZjMxgYDodM7fr/p6w2iR8xBKuQJ+Md0LHy5mfrmQvvt5ZSojX76a67dyzl1S5ZactVxh6NdkSdHY66U+upvlfXRbZt08tK1MqKtWKCs1zbCZr66KF9tktY4SKSj0mvTQoy05EwgVPbij2bD3acMnwSPW2XWp4BCdBUnyZ1f/MmHKRMCZ2jVEAgDMOEoy+K+YGCNnFmaGnbtRORnyCoR0oICJijDkc5HIzt5u5XSw9o5MDRbpUtFdb2z3JanTqko9YF+eZ39n12lSZe/ZQ7XbuKSIlxAbNYwNmxZdq+5J14vXiFPZRyMPDDRRqoJCHwg08WM+F7EggT6upNs6YQTt/Ey3602e+THea772mZTjZJbuu2l3uPbt/ygu3TPB6iyv21klNLiIifSR7WGrOgOxOrIkCANB7IcHo06LfpkgtILmU556N38lSXLzRS1qbUexGo3TDje1GIPSQ6O/W2a/Mr7hhOSWx0YmIoq2FSf+ItaYZvT7b7HU0hZoryJZDTGy3PxLQvvp5TNnjv3Cc73iWew982/+qHZYylI2989gTrr2HiH76zJdpDtOSa8cTkf/Tw2XbpQcGzNpg65+bYvq/W8/t59bvLdnqO8SloJ2I3MOMeUO/neHtX1Oobh8Nu4SGX0H5s0+tAxUAQDfrdd0VoDshtYCuIC2+LSbHkBbfRkSkqryhgXs85Knn9fVkNsdnF9q6dTwYYNFWDpeLLJa2RxNXe9paM4rc8uR/IrrkU4a84pQJEtkTdI7ie16O36lt/TOFPMyaw0a3f6dxzgPVpCmkt5ExhRlSyOgiYwoZ3cyQQpaM+KraslyUlz+y6a9//8c6GviXkYWX/l3587XjZgw9J9S/ec+BrYEqMtjbjAYxp1JwHW17iba9RHoLDZ5LI66gIfPo9+3HrOMtAQC9CVowAKBLtCYDJ5EGaJry8kvtBo4bjdFMg7nc6mdr489IVo4BfVzCMTMtbLnC+CVxJ6hEGgm6RCckcN91E9IcpqVPf0HN5drulylYzVXevLzI997+Nf3OenHi5QsWTLv9vDxRSNQ1qm4f7X2b9rxF5ZuIOBGRqD82pKRVmxxD49rdn96ZZkn/5eQHMXEtAHQ/tGAAQJc4lVt/QRDnL+AVFeSp5x5PdOA4Ly/n5eVdECDAMcIFTyYelz/p14nntxVEIjHB/uO45AePW61WIiJrjjBxCT+8gso+t109UqkJzly3efrRbXcFlpTUnf/LucPtxtikhbuG1g283THhXn24iva+Q3veopK1HT+dytW9nqJ1FV+ZJfOSc37W+TgBAJICCQYA9CLMZmPD2ixW7W/m9R7u8fAGDz94ML68suxVJkmUksIcTpaSQk4nczp74VxVcCZKYve26dOnt6lXxwZfQe6RVLPZ+didwlPP1a5cJYvi6xuOnDPQteCsnJhzD5TsbtwtkqClDXLknn2ndO5diScTI6IDH9AHPyTnQF36qOczzn/44Bv/3f3vfrb+14y4Pln/EQCAzkAXKQA4MyQcO046XbsuVVE2G3OmCBMnMHfqSdWPDld93EnOInUSioqKTCbToEGDjldgxc6Kj4qqHygsSLXETq1W5Tt0YHuJ0ZtNREzi2UNSM/PShIcFIto4vqhl9VUiepDTthfpnVtbulEREREnqpD0xpxz3IPn0pQlJMYuMA8A0BWQYADAGSM+x5BuuZU3esnr5Q1e7vWSt4E3NkbnqhLOPlsYP6Fd6UiEFxeTxcycTrJYj1ct0gxIuqVLl6anpy9ZEjeW4zi4LIe//NIweTIzmYgoqDTtqfjGXyIYG7OISDRwNdyuEePYKulNlVS9nap3UM0uqtmlVe8UWqe6uuljym8/Oa+mUKCerG1GpffcwogA8F2CjgQAcMZoOz9VaxrA3KnkTj12W6RpvKmJmptZRuxkPtrePdr69S0P9HrmcFBKCt+/P6YYmjIg6QoLC1vGYHSIH3qXmMAGzvH/+/+8v35ATE+33f0jyw3Xm3S2s/tf1JBRsadkMx1No6Aj5sSN44smRrdsWWTLosFzoo+YFvnrJz+sOPhhts58VfqI2I/E24to56tkTqWMMZQxmtJHxQZ0Jiy8AwC9EFowAKDP8Pu1bVt5QwNvaKBQqIOCfTDB6LpmnGjNZ8Ql7eG2LK5pX/2clBCZM7hrdv3dD8jbthMR5eS47rvXfOWVJIpEVOHfW746wRf3xEtGJKxVVuUffnLblurNw90jXp73n3aTSn39GH3xOwo2dBQVEgwAOHlowQCAPsNiEc6b2rIdCnGvl3sbtC++OF5xbe9evnMHORzMmUJOJ0tJYU4n6To7M2kX6Yqb4MTjW5Jabe9PM7roIkSdcAwGEREThHE/1Pb8H/mrWOjVoh/f8K/XLrh3x4rUskOee37S+Ne/O+76f+Yrr8y2DC+nPZ1/ar2o/+OMJ7//4aIjviMhNWSWzMeOTbmXptxLjUepZhdV76BPz8z5pqLdupAIAfQmaMEAgD4t4W1l9D5YW/e1tmtX7DGLlTmdLCtTGHcWseNM5hNXebJurDuINlFphTc1kapSJEKaRrJMXOOyTJrGUtNYenrH1bK8PJIkJohExPr3YwMGxhTg1VW8oYHpvx2UbDi2wex20utPLtqT0bbmU68wEOA+H4WCPBDUvvoyYZFkvXAnMQZDi/CSlfzIaiK+1eu8b+fIq3xHZq1+3VhVQUT6MaNdf33qQ/GtzJ2FMedFWzAqDtQ11QVSMm0p2Tad4dhviGE1HFZCdkNs36p2Ek5O1Xrjrin0yVLSmWnQhdRvCkmxg9F7AEaMAPRWaMEAgD7tuOuOEwmTp7DhI6ihgXu9vKGBGr3c6yV/M/c38/IyYchQat+rnjf5yOdjzpToAuQxv9936laVc5JlikTIaIyfbJeXlCQ8SX3zDZaVLZx3XkxVyuuvkd+f+IksVun6E0xdyg8fptYJicqOSjEJhqapK1ZEx9PHYykuccGC40T7Jhn0pNeTXs/0hug2y8llbnfH8bSKeb0SXFtVpVCIB4MUDFAwxEMhlp3NUttPKRYIKP9ZRqraySc9fZ39OU/QsbxLKGUY3/vKWU7vO1O+eXTvkIfvfPKWqo0DXnuRduz0L3/7kqX3bdyZuBHDV+dvqgv46vxHdlfZ3BZXtj0lyybpRYNoMIgnSgke5MedAJeImipp3ZNEnD7/HenM1H8q5V1EeRdS5jjqkbX84kPFiBGAXgMJBgD0ddHb04Q5AEtJoZSUYzcynPOmJmpoIEGguDG72sqV3OslItLrSY5daDm+fm3TRl5eTopCEYXLYVKU1vtdlpIiLrgqpgZ19aqE8fOGhgRtKYyxjAzyeEiSSJJIFEmnJ4ExvYEExnL7JayqLfHCi7iikKZSdCR9DEEQJk+h+nouh4mIOFF0g4jCYda///Gq5Q2eY9utwTr2ildf066cpqkr3uNNTcxgIL2e9AYy6JleT/oEE60qzz0r/c/31bVrqa6OBwPxF59lZIiXXtZul17PcnIoLJPJyExmMhm1LVtizurBDl0sZSibsJTvf91au/13I/f8ZKf4F/f4+U/PTduxmSaec24wknXHbCKqfPpjIopu0yVHixo+K8nc2i/1PIM301fj99X5fXX+0p1V9jSL3TKngwAAIABJREFUK9vuyrYJ4okygbY5RszNuqMf3fIZ7fsvHf6UqnfQoY/p0MdEROZUGjSTLvwduQYn+Sp0gCfObAGgl0CCAQBA1Mm7ScaY3U52e+KDo8fQwQMnHEHeStu7l4LB2L0GA0kSy8iMLy9eNEv9aGWC/QsWMHuCri/ihRd1JoyEolej4x5gQkFBh8cTVXvd9VyWKRwmWSZZ5nKYwjJFZJaZFVuUc+73UyDAA4Fj+zqoOhLhpSWkKEREgkBGIzOZyGyObrC8vLhQJPHiOW13xCcY7cI5coRXVbL8wZ1vaTldOgsbeQtVbfCXfO7l9q2l3uagcvP0KYIgNA9u+e+0pBZEROS5+x6rKZwu1QZsG0LOlOzMyaKjwKd3+RpCjTXNjTXNzR7nwLFx17m9spx+RLktD57rl1t+tN3hAdNowDQiIn8tFa+m4lV0+FNqKKbdr1PmWJr2846qPl7ekpASpobD1HCYGg5Rw2HKOZdGX9euQNCT+MTVv6QJPyB77GKFANDNMAYDACDZQiHl3y/H747NYfx+3txMkkR6HdPpW5oaOpRgJZBkT/fURXWeSs2aRsEAl2UKyyTLJIej29qmjfFlpcW3kd/PIxFmMh0bDXKqAcfHqa54j1dWEhFLTWXDhwv5gxO2pRzP559/brVazz777FOLqrQ+cPOLG4rr/NlO05+uHtt/6rhOniidPS71rXcaKpsaq5tT+zmcmTbSNO/Dv6k5vKuYasfkTbW6MwWng9kdgt1ed+NN8TXE5hjxGg5T1XbKn016S7v9FZto338pdzINmE6PtG/uS5hj7HmL9r/fklE0lrVLJ12D6UcHYssfrzeXqKOFq1oSIQDoIUgwAACSr+vGN1PXZAJnkC7Nso6HN/n4zl3awQMUDhMRSRIblCcMH84yE7Q1dYWGgHzbvzdvKvW8e+fU3bVN0wonxxRw/flJrbFR8/m0xsbmutImTwk1BZun5Nl/cOcQx7kCa8ldtcbGyjHjuKIQUXjYuPD46YZdGwxFm0mJtFbVtufViROM43nzOtr1n+Mejc8xfu+kUGPLtqgjR39KySdXPqXk0eC5lD4yUSXtc4xbv6ANf6UjX9E1b1HOxFMMGwCSAQkGAECXwALhXSc5s0idAlXlxcXavr28oiK6gzmcwrRpLOsEXY86NU3tCZ9c4/V+Od1mWLa1bFrh5OxX5rceqrhheUwmEFb9RQ2flTXvJiK7Pm1a1k0CE6OHlIMHfTu3vPDVk0PybsrqdwERCYpsKdtr/f2SaGrR1vGW1zixxqO05Tk6/CkdXZfg6K/CJLZvAjq8ijwHWzIKR38SOt2FG2O7AXofJBgAAAAnh/t8fN8+bf8+CgSEMWOFc8/tuPxJTFPbCcu2ll3T+KeYnYdH/W5wqiVmZ32obJfnU1kNzsz9vsjaLeFS3lR25weLC2j8LHuhTTnu9LVnjTZp3kb9uLGnHm7Hs992g5CXXp5F1gw654eUP7tn5rwC6GMwyBsAAODkMLudTZwoTJjA62qZ68TDvgsLC61x046dsvjsgoiOHN5aV5c+Oi/fohdbd7qNudOzF3GutTZftMqx5T4043d3frz4k5p3f37Wg5NM55fvrY2vtu7mW5QDB83zr3T86ldiWtxkYmeESJDq91PFJtr/PrmH0MQ7adwtZOxwSRAAOD1owQAAAEgmbdNGXl8vDB7CBg4kUUx6hy5t7T3HO/SldX5qv3EjMmzHWg1C9bxyA+nMpLOQzsr0NtJZSWeJ9kH6uOT/s3fn4VGVVwPAz72z70syk30nGwHCGmXflSWIClgVAZEK1hUtUqm1amvBllr7qVXUiuCuFUQjgoACYYewkwBJyL5vs+9z7/3+mBiTWUJCJplJOL8nT5+Z99659xCwzz3zvu85u58/uJYgiH9O/bfgnJf9JIN1Z7QvvsRYraRMJvvjOtH99wHZ/RmAgHfEs+rg3BY4/m/QlgEAsPmQsQjGrYGwYX0dCUI3B0wwEEIIIX+idnzDNDYCAPD5rprFl2trBRxOfGgo+CPH8JpgULJks812iDPTQCpUYt4tsQoJjw0ATPEOpuqAl/NZbEKgZg9Z8f7V/7177j9CtvBA1NjThlVup42Zl+6sqNQ+/7zl0BFKFSUMlchf3cDN7J/P5TQFhTlw8i0o+bm1SlXyHLh3B7A41/skQqh7cCUiQggh5E+sOXPJ8ROIkNC2jihbjx7d3mmfjW4hp/zbc3DKnvRTssXDkgbx2GSj0fbjlfqSZhMAELHTiMR5RPRkImwUoUgFcSTwZDRBsCgnYayp1pxcMezhOUnzzE6z5zVHSd4FAHZsTOjHHznf+aLxz+9W3bPm2qavGl/5B2M0+uuP03dIFqTdCUv3wWP5MOZR4EmgbD/YDYEOC6EBCGcwEEIIoV7RtjjquW3bVGLJ729v7YvX80mM+HU7S27f2/Y28ceZrhfT09R/mju4xmCt0FoAYFFmFJv0ssfa4tRfbtzTZL5mY5FSripDMa1YU5VV+JWXOwnVRNgYInyMTs8pP1dts1IAAAwtaKiImDVOEdGF7uBBy24EhwVEKvfxgC/oQqj/wwQDIYQQ6hVeEww/1tWNX7cTAMo2zKVo5qPj5a/tuWq0OUVc9prbU2/LCLNRdKLSva5Ue03W8ovN+4yOFgCIFmcMVkzmHHrex7kEoUiG2NsMVETD+TKtnmLYHABgsUllpDQ8KYQv7kbbwaAW8JpXCA0I/faLB4QQQii4dSmXoGmg6Ru7ftmGuWUb5gIAiySWj4vf98zkOUMiTHbnyzn5FhvVeXYBAKH8uMmRy1Ll40mCXWXM31+92e2ErPKfiGGrCPVIINmMppAp+U4aKho0PWPEvCHxmRFipYBy0o0V2rILtTcWP0JooMIytQghhFBvYT+80vn+e3OHDRPzeOAt5aB27GAMejIxkUhJJcLCenKvcCn/7cUjcwsbr9YbElXXyS5cSIKdIh8XJR58qfmnx3a/9CePEwhlOijTCaeFaS4ghK3hsdikKlauipVbTfaWGr1YIexJ2P3AkY0w9H6QRgU6DoT6DVwihRBCCAUM9fNPzLVrrteEXE6kpJDJKSD0/yO7xUH9cLleKeRkxSpEXC9fL47eOtRzMG/ZxU6uyWgKoeYIhGTQ9tCm5at448ZK164lJWKTzqqtM8jDJCI533XmqZzLrhc33hrcQ9s1/Xllr0ukAIAgIXMJ3LnFD7e4ybX9hnHh2YCGCQZCCCHUuwoKCgQCQUJCgtejjFbLFBbSRYVgNgMAEAQRE0OmpBDxCUD4eN7tpmaj3WR3nqnRWRwUmySGR8mSQ90b/3lNMN6+7b9ZET77lP9aA5dgWw6Xmg6UUS2k/OUXa6NGNlfpAEAg4YXGyivz690+2PNkwC278NdlATxyjPu+hfMfQ+H3II2GJ4v8cP2blmfyhjnGwIUJBkIIIdS71q5dq1ar16xZ09lJDMNUVtKFhUxFOVAUAJDjJ5CDB/slgIn/2F9vsK6alDg2WVWuMQNA+14ZLjllG18++JHbBwkgfpN+/1Ojf88hvTWLoB1M/Rmm7gToSl2dJagms/lQhY2Ot9z7tMZEOmxOr/G4ZQJmvc1qtLleU04afnkwoSlaEioSSnluH28o05RfrLvuZW+c57fsdiMAAVyPhWc2A/Ak/rlpUPFvKS2nFewm+Ie3TvCYYwxQuAcDIYQQ6l3Z2dlisfuMgTuCIGJjWbGxYLXSxcVMbS0R4aW19o2ZPST8/cMlb/5c/P2F2tUzUxiSaDTadl2pHxIubWv7PS/+WQBoyzFenLwUAF459OkXlz+90HDulUl/j5XGuV+X5BARtxARt4Clmak/xdSdYoWC5K40CQOm3X+QyyfTv3mw+KyXTKA9p50qyC319XWnSC4YPDG+/YjD5vSaXfiT51Mv19tfX/7/4H+/gbAhMGxJIDdp+H3RkZepBgJeYsCiAasGbHqwm8BhAqsObHpwmIAtgJErgOhYN+jMB3BoPVg1YDMA7T3PRAMYzmAghBBC/QNTXwcOJxEVBQTRVgMXulau6lRZy592XLpabwCAqamqu8fEGu1OAAiT8CYkhHB/aWeRU7bR9WJe/LMHa7Zebi7YceVYk1kj5IhWj15zd8rCzgME7TW6LJdpumA9Wan5z0lOakrF0295ntdhqoGBysv1dkvrMyjJJtvWhZEsUhEukYS470jR1huLTlZ6XnbY9EE8YR+25a48Bl/MB1MjAABBQsI0yFwC6Xd7z0Z6yQ1PNdAUNFwEc1NrntD+5/R7Xs6f/AIc/KvPqz10GGLHdxjZ9SSceLP1NYsLXBFYNN7iv1meQm82mGAghBBCvavzPRhd59zyITgcIBS27tZopys5hpNiPjpe9tqeQpPdKeVzHhwfH6cW2SlmXLwyzlslKKOj5Xj9Vxpr857ic2frrwDAP6b8a1rczK6Eajt0SLPueWdpae2mPZ5He76WqSoqxvPKHB47c2ayn/atdA3lgOJdrZs0nFYAAK4I0u6EMY9CzLhev7vXLelz3wabvnWqwfVDciB7k3tLwd1Pw3EvLeF9mvMWHHgReDLgioErAq4Y+HLgioEjAkUC3PIkkB0XxTA0aMtbz2FxvEfbPruwGYAr9temIxRwmGAghBBCvatLezC6gL56lblwntFqPQ+xly4DnvteBa8qNeYXvr104GojACwYGf3kjOQYucA1a9B+VgQA2A+vtDj1x+q/Mjk0lxvrLjfW/XHsi8mKlC5Gy9hs9rPnONbPTxtWtR8fJXkXCDbDkgAhAFLEECLazmUgGgiCM3w4Kem4pYGmzdu2UQ2NtNHo2prCGI0MRZk++RQA2nKMiEduAwB7zvHEkQFap2TVQv7/4MLHUH4YgAGOEP5odH9cvrG1TLQTjPVgqAFjHRhqwFgLlB0mPAc8qc+aV56W50LcxA4jl7+BQ+uBLwOetMMPXw45q7xcwS9TDb7mWyqPwuaJEJICWY9D5tKBua3lJoMJBkIIIdS71q5dq1Kpnn32Wb9czS0NcCEzhpDjOnxlzuh09L69QBDA5QGPS3B5wOO2vubz9xh46/cVT01VvzQvo5Mrsx9eaaNMx+u/1tsbhGzZrWGLRBxFt6KlD6zuymlN6w/Z8xuEC+5WvvF/rUPmeqbpkrNWo/nTerrZQrWYGUeHjoSRny5o/7Zm8bboai/rpvqaphQufQF8GYx5tMN4d9cylefCnjWgqwRjPYDHyb/ZDul3eU8wRq8Cvhx47TIHWSxEjOjGH6Hvyz21FMPWaaCrBADgSWH4MhjzGISm9u5NUW/CTd4IIYRQv0ekejyNWSyMRgO/fI3o9oQ4MzPz9jVT2494zVsAgMcSjQv/zYn6bRpbzZG6z28NWyTlqrye6VXN4m1umQAANL50mhUiYoVJWBI2KeMSQh6pTuOHZQjvuqvtHKZsN9NwlgUQ+vyk1hEni3ZygObTDhFHVu12Tc+7BIYiASaucx/0um160CwwVIOxHmw6uH8nJE7vcELVcag+BQBAkCAOB3E4SCJBHA6SKFAkQuo8nwFkb+rpH8GVTvRlwwrlIHiqBK7sgJNvQdlBOPEmnHgLBt0GWY9D8hz37eOoP8AEAyGEEOpPXN3B3QaJkBD3kfBw9gNLGJMJ7Daw2Rm7DWx212twOomkQV2/I4fk3xq26FTDN03WirNNP0yOXOYaP1i5n8vijo0c3/nH3XIMr1MNno3HifjZIAgFq4axacCqBbuWYFMsNgVgZYGXRWIu2j+9QDU1S595mpOSTDnp5kqdIkLC4Qfl007x7tYXXJGXZ+hxa2DQbBCGgCgMSJb3K7zE+LmebC9dqitINgxeCIMXQv0FOPkWXPgUin+E4h8hdjw8dLhPI0H+gEukEEIIod6Vm5srFotHjhzpx2t2t4pUty7465Xbbe2gGGdBywERR5EoHQUAFEON+3gUxVB3pyx8Zswf+Gy+rytXRcW0f3ujC5kYsBvAqmVsWiBI5tJ/Pc8goiY1P7fJevwysFiihQvsyx6vqLCyuayE4ZHysD6s7OTJ61qm+78HaRSIw0Gkxi/p3Vk0cPYDOPNfEIfDgwcCHQ3qNkwwEEIIIQTx63YWJ7qvOyKkUvL2WYRc7vUj2wv/98+Tf7dTtgRZ4t8m/SNF2dmi+aqoGD/ukehka4dTyzL+L89ypIwRyvTP/59JGg4A6gRFzOAwkgxQkSKvCQZWaEUDF2bMCCGEUO8qKCgoLS0NdBTXN6gkqv3rQSVRjF5PffetZ1Vcl7tTFn2S/WWyIqVUV/LgD/dvvbSZZmivZ8KNT1x4R05xL7FKZj1PRE8CtoAtp+QPjwh//27pvFjl64/JdnxAMHRDqaYgt9Sst/kxhm7wzCUwu7hh+V/Bu6Pg0PrWDiRtul5TC/U+nMFACCGEepe/ytT2tvh1O91G8saTcm0T++4FIPTSKMPFTtneOP36l5c/Y4DJirj1LxPXhwq6sQvczyg703CWqTkMhkoAAAZslxoadjS1LP2jUxlGkkR0ujosURmw8FDPHfwL7H8RAIDNg4zfwPmP3E/A5C0I4AwGQggh1Luys7OnTZsW6Ci6TcBlfSVPbbnzHl/ZhYO2nWrYUWe+uibruY1T/y3jyU/WHl+cc0+5rqxvI22HxSUibiFH/Z4c9Xsi4lZgc3lD1bLBoZE5m0KjZTTNVOTXl5ypCVh4qOcmvQBL9kDqHUA5vGQXKDgEZV0FhBBCaACZNGlSoEPokrINc10vGAYe+fT0j/l1nx0rD5cK5mWEc1he1p9YnYY6c1GduchGm6fEThscmvHnQ3/MqztZqiuJk8X3aeieJDFE6r1E0nywNMunRLvGZGHisgt1+iZTYENDPUIQkDQTkmaCphROvQ1H/+l+wksETmIEHCYYCCGEUO8qKCgQCAQJCQmBDqSrCAL+sWBYQY2+ssW840zlyGhZvNLLJIaEGzoidO65pl1XNIdslGmIcvrbt71fbayKkcT2fczesQUgiW57p4yUSkNFjNPOFP6Ppng0HcPJ6E4HOhRUFAlw20YvCQYKArhECiGEEOpdW7Zs2bZtW6Cj6B6ZgPPOAyMFHJbFTkXKfi1By5SXUdu3MdWt9aaixYNHq+eTBKtUf+ZC8x6CIIIou/CGzWVxaA1Tc4So/5ms/dC6+THnhQOBDgr5FU5fBIGgm8Gw2+16vZ7FYikUikDHghBCCPlHfyypMiRSduy56UIui8v69etIRqtlmpup3bvIsePIwYMBIFw4aIz6rryGHeWG807aNjx0Ltmxq8PorUPbv81bdrFv4vdJHEkMe4Q6+SXJbeEmcqBlh+3bneykyay0GcDmQ7sauJ61qlA/s+dZOPUfSJ0Pwx6AQbcDGXTPvQNVsMxgVFZWPv/884mJiXw+X6VSKZVKPp+fnJy8bt26flHaDyGEEBp45EIOl93hUYHMHE6OHAU0TR85TB86BDQNAGpBwq1hi9gkt9p0Ja9xB8U42853yy68jvQ9QpnGnvUiZKy2V4uadTEXyOVlVZT9wJ/pC5+377DRSbcNFCxeYlp/2l63x5eB0waXvoDPsuFf0bB7NdScDkiYN5ugKFN79uzZCRMmhISEZGdnp6WlKZVKhmG0Wm1hYeEPP/yg0Wj279+fmZnZw7tgmVqEEEIBsXbtWpVK9eyzzwY6EL9hSq5RBw+C00lERbGmz3B1+9ba6k7Uf22nLemKyYNkWa4zvaYTJ5aeYxGsPo3YN92VsqKrBoZk80j9ENHnnifgPEb/pquAC5/AhU+g8XLriGowZC6BEStAFLh6ygNdUCQYU6dOFQgE27ZtEwgEboecTufSpUsbGxv37t3bw7tggoEQQiggcnNzxWLxyJEjAx2IPzENDdTePWA2t+/2bXA0F+tOJEnHSLmtj25eEwwBWzBUNWx0xC0PDF7GZXH7NG5vrEZ78dFrFhuMkrx72rCq/aFRkncxwRggqk/BhU/g0uetHfrS5sO9OwId04AVFAmGTCbbvHnzggULvB49fPjwvHnzNBpND++CCQZCCCF0w5w08/cfr2QlhMxMU7cOGY3Unh+Z5mbg8Vhz5hKhoZ6f6nxB1P9Nf3t89MTeiLa7GJqpKWqqKWzyPDR6rJOQJ7u2Z6B+j3LAtR/h8nZIvQPS7gx0NANWUGx2SUlJ+fnnn30lGD/99FNqamofh4QQQgj5S78rU+vV+Urt+7klX52q+nLV2LQwMQCAWMy6Yz61/2emrIypq/OaYOQtu+iZY+z9Te75hrMN5vqsSPdv/XZe++50fd4wVWamekS8LIEAL/03egNBElGpKq8JBnPpA9oBjgYJmT6XOzwLyGDZv4puBIsDKdmQku3lUO1ZuPodpN4BESMAAF5q928PK1N1U1DMYGzbtm3RokWzZs1auHBhenq6QqEgCMK1B2PHjh3ffvvtl19+6Sv96DqcwUAIIRQQa9euVavVa9asCXQgPeKkmTv+c7igRp8aIf320XF89q+bKJiWFkKhAMJnMtCWY1y3hNTyHxZfbLzgei3nKTLVw0eEjRqmHj44JIPtrQSQ68r+qkx1Kuey5+AI6XaSaQQAxuq0HK2l6ETupNv4EycQHuu6Uf+2bTFc/AwAQD0EGi65H8UcozuCIsEAgJ07d7722mv79+9vP0gQxNSpU9esWTN79uye3wITDIQQQgExYPZgNOhtM/99UGdxLBoTs/HuYV36iKX0mu5kk7WibWRefGeb3RvMDQcqfjpXf+Zcw5kGc0PbOI/Fuztl0e+z/tA20hvVb70mGGPmpTuO5DC1uewQBxDAULT1aJVx5zVW2ijBnNmiRQs7yaxQf6Ith6P/hEtfgNnLRBYA5hjdECwJhotGo6mpqamtrQWAsLCwqKgopVLpr4tjgoEQQgj10E9XGh7+KI8BeG1R5t0joq57/hXNoSLdcbfBznOMNjXGmnP1p881nD3XcLZUey0jdOiWuZ+6Dnnd2tEbOcaYeeltrx1NFfXnL0iZS2J2HUPR2vdPWw5VqLZv492S1fP7omBBOeCvPgoPuCUYTisQJARBlYIgFBR7MFwoitJqtUlJSRkZGe3HrVarTqcLCwsLVGAIIYRQTwyMPRgu09PUD4yN++ho2Z++vTg8RpYYKvZyktNJn84jYmOJiEjP7KLrIsWRkeLIOUnzAEBv1/NYvBu+VNeNmZfelmO0zy4AoFknrjUn1UKSgGsNJc9IFg/i3EJzh7uX0WecTgAg2EH0iBUk2idvbr/bIMLiwEtMhw0YXpmb4I1ksBtAFgvKQa0/iiRQDgJlUmclAW6OrR1BsVHJ6XT++c9/lkgkiYmJSqXyD3/4A0VRbUe//PLL8PDwrlyHYRiNb+2viRBCCPWZLVu2bNu2LdBR+M1L2RkjYhVmG7Xyk9N2J+15AtPYSF+4QP3wA12Q7/UKlzUHW2zV3bqplCu9boJxouZYt67py5h56a4ft3FVnDwiOZTDY1vs/ErruCus25qn3mMydfwN0HT9pCm1Q4Y2P/Koedt2Wqt1DVdFxbT9+CXIfsdtasjrarSg5pYMsAUQkgwAoCmFa3vh1Dvw4+/hizvh7SHwNxEc/KuPixCdvR1AgiK9fv311zds2PDUU0+NHTv2yJEj//rXvxobGzdv3tzd6xw8ePDuu+/2ddRoNNbX1/csUoQQQuhGBNWC5B4iCXjj3uF3/OdIcb1xU+61J6clu51ARESQw0fQ587SR47ATC9XKNadLNadnBixRM7r0heIXfTY3pUpyrSHhj48PX5mb5SfYrHJ6DRVVEqott7YUK7RN5maKnVNlTqBlBeVolJESJjmAoIrZifEW8vLLTk5lpwcYLN5Y8bYjnXIfFw5RnR1pd8j7F9O5VwO3nkMt0kMz6kGrggePgmUHTSl0FLc4UdXDk6L+/m6CvjiJqqKGxQJxn//+99nn312/fr1ALBgwYJRo0Y98MADd9555x133NGt60yZMqWlpcXX0bFjx+I6K4QQQqjnYhTCDQuGbtx9NT1c6vUEcswYIkRJHTw4e69s10zd7L2ytkO7ZuqSZGOsToOIo7jhADyr3z4x6ulP87cWtlx57uDv0y6l/37McyPCemVXPUESigiJIkJiM9kbK7RNlTqL3lZ1pUERAszF9xiAkGfHUi8+aj181bp3r+3Ycbfs4ibBMIzVaLfobRw+WxIiDHQ4N6Qr65dYXAhNhdAudFMwNUDtWW93IQbkQqmgSDCqq6snTJjQ9nbx4sW7d+9evXr1bbfdxudjXxuEEEIo6MxKD5+V3tn8A5GYxBJLqL17Zu/tMD57r4z98BSvHzlYs9XqNKgE8WHCRBU/gcvqrA7scfsT7d+yhzz0m7T7txd+9XH+1ivNlzcc/8tX83u3TzNPxI1OV0elqnSNJi6fDVwekTCHqdzPaItIbZFweLxo/p8YboztwIHmRx7t1UiCAeWgzXqrRW8z662uFzTNAADJIkbNSfP1KZPWIpLfHNV+I0d7Hx+I2QUESYIxePDgn376ac6cOW0jr7322tChQ9esWfPWW28FMDCEEEKo57Kzs8Vib5uhBzpCrQazufNzmJoaMJmAxQKAUBNb73CYycJisvAaAayQMJUwMUyYKOO6L0Bwvv+e5wj/4ZX3D166MPU3u0t3xUhi/fgH6QRBEvKw1r9cIu42InoyU3ucqfjJrDVom87IJIfEY1onUmo37XG9iHjktraP0zqds7SMO2xosPXv87XT3avyS3UNpRq3QZ6QI5Ty5eGSTj5YcLhMFSOPSlNxeEHxRNq7urJ3fKAIir/OJUuWPPnkk06nMzs7e9KkSTweT61Wf/jhh3fccYfBYIiIiAh0gAghhNCNmzRpUqBDCFZWK/XDTvhlg0oqAICo7WCTUndq1OGr2sM8lmhoyIwIYQo4ndR33zJGYyeX5LJ4dwwK3GJ3Fo+InkxEjG06camxWVBrA1FLo7RddgEAtZv2tD21a55+xvLjHpZaLZgzW5A9l5eV5cqHFsfTAAAgAElEQVS1AshzN/aYeek0xVgMVrPORjmpsEQl0bH1B+1kSBYhkPCEUr5QyhfIeEIJn8XpkDK1L88FAKPmpNYUNdVda2ms0LbUGqJSQ9XxCmLAdxS57taOgSJY+mC88sorGzdu1Ov1xcXFSUlJrsHvv/9+1apVNTU14I/tcdgHAyGEUEAMpDK13eU51QAA7IdXtr2mz59nWlqApoABsNsAAJxOoCgGGHOUvCyJbrCUWJz6JOmYwcop4HA4//cVmExe78Wam01ERvqKZN3BNVdbrjyQsWzeoDs5JKenf7DrcdictUWNzRUaJ+X9odmVY1hycnQb/u4sL3cNslSh/FmzhdlzeGPHdj3ToA+sJqf82y9hg4/6TgTRlgZC2vg4idI/2yqsJntlfr223ggAAilv0KhovhjbSgwEwZJgAIDdbq+qqoqKiuLxfq1D53Q6c3Nzi4qKVq1a1cPrY4KBEEIoINauXatWq9esWRPoQHrR9xdrPzxS9mL24GHRMrdDnjlG+wSjKyxOA58tbi0MRdPgcDg/2up5GjlkCDl2nK+LrNn/1IGKnwFALQxbNuShO1MW9EFjDZpmNDX6krM1nodGhX4JwABHRHDEtJlyltfb84ucFXWU1mq72ECIpLK1a0RLllzn+gdWt3/b3TSDoRmng3JbnuQ9wSAJvpgrlPDFSoEqTuHfmQZtvbEiv95mskemhEalqvx5aRQgQZRguFm3bt0zzzyjUvnt3xkmGAghhAIiNzdXLBaPHNkrRY2Cgd7qfCEn/9szVRFywc7HJyhF7l9Ct+UY3U0tfMkp29i+MhUA7Jqpm6peKhb6LBdJM/Thqtz3z79zubkAABR8xaLUexdnLBVxen17jNdH9lHyLUDZXK+dDP+yaSEDJJcwclkGsrbB8dNpQVS46vlnuQIOi0OC3ciU5ADJAo4YOCLX/zIXNp02dPj6dZTkXV85ht3isJrsdrPDZnHYzA6b2WE32+02JzCQNCpKGflrNTCv0Y6em0aQvbh+iaEZXaNJGiIk2d3ei9I+y/LjTA7qieBNMAiCuHLlSmpqFyp/dQ0mGAghhFBvYAD2XG3Y8H1BWZNpfFLoRw9lsXrzYRQAcso2AkBbjrFrps71QsCWqAQJ0aLBIfwYAKCPHaXLysj4BCI5mQgNBQAGmNzKAx+cf7egOR8AFHzFsiErFmcs7Y2+GW28PrKPmZsMDiM4TIzd4LSY8y/yHA7vz9aRKaGRIXXMpQ/aD9LAPmtY4XbmKMm7zlv/yeWzAQAoG/wyRaOtMxSdqvK8MkEQPCEncUSkSPFrKSfPaIO3W4XHHA5gjhEcrp9gVFZW6nS6IUOG9E1AbTDBQAghNDDcDHswjDbnV2erX//xisHqXD0jZfV09+57/uVKMNzwWSIrZQIAkmDNiXuaAILOPUhfveo6SigURHIyOSgZRCIAOFp9+L8X3r3QcA4Ats79LCO0Q1eN0VuH5i276MeA3Z7avT6yO6xOm9lhszjsFofd4rCZHXaLw2F1hicpIwaFMJqr1h++th8/yAoRUykjimV304z3TRrR6epweS1z6QMg2cBXEnylGaJK62PZXBaPz+FKRTyxmCfkcAUcroDtdV91V6LtA3aro7FcGxot43nMibXxTDAAc4wg0FkVqR9//PHBBx+sq6sDAIZhZsyYMX/+/CeeeKKTjyCEEELIzZYtWwb8Hgwxjz0+KaT21rgPDpa88VPRiBj55JReXEw/L/5ZtxxjXvyzAKC3NzRayjgsgWtGgpw0mUgfzBQV0deKGY2GOXmSPnWKiIggk1PGJd46bvaEk7UnijRX00My2q7T1r/P9cJfaUZXntE5fDaHzxaD974QhDKNNSTb9ulR+zd5VGg18cxkUKo9T+MJOQIJj+AIGa4E7How1zPmegFcHswBYAAsABaCUK0gQjy+OHYYgS0CgqAPrB7lXlo2MM/rzVX6msKm2uLmiKSQiOQQkhVclXxRJ3wmGJ988sny5csfeuihiRMnLlmyBADGjRv31FNP8Xi8lSv9s4Cyc/v27YuJiemDGyGEEEK9LWgXJPtRikp8a2JIWZNp76W6p748+/3jE6MVvdhDzZVRuJFy1VJuh8duQqUiVCrzqJSCC59E1nLUjRyypoaqqSEbG8jxE7IibsmKuKXtZLfu4NALUxk9wR0+XL3rB2d5hWXnTsFXG8sf8TKNM2z6IAAAEJPj/gKUDawtjLUFrC1g1YC1hbG1gNNKcN0TCKbqIFP8DRAs4Ms9r+nfKlVdp45XWI32piptTVFTU5UuZrC6/V6RTjCXPiBipoIssbcjRL74TDA2bNjwxBNP/Otf/2pubnaN/OUvf7FarW+++WbfJBjTp0/vg7sghBBCyC8IgFviFM0mW0Wz6Wqt4Ykvzvxv5Tg2Kyg6G/A5UiY25ry6nOWwhNVzwho4dfwLRJNeLUhQ8ePdWoa39Qi/lftmIIK9DnZcrOTR30ke/V25x2aJiEdug3mVbW8t+w7SWi0nLY2TOobg8wF8bzQRhAJPDjYdWJp7KewbwGKTCcMj1AmKiot1Ro3l2unqhpKGuGExAmmn5b9IDtN0kWm6SAy6i4ie3FfBog58JhhlZWUzZ850G5w6derbb7/dyyEhhBBCqF8Sc9nDo+T33BL71t6isxXaE2XN45NCAx0UAACb5N4StsBJ25usFQ2K0stxpWanDoz5VcZ8kiCz1AtVgjimuRnaZReu18GZY7i4OoJ7bRAOAIzN1rzit63dK1gsdlwcJz2dk57GSU3lDE5nx8e3P5kIySDGZgDtBKuGPvm3von/+ig7o7kqbLqYCvlN/JhqW5ZBA/m5peoERUy62lXVipzyb/cqUnYjU3OIaTwPPC+zMahv+Eww0tLSTpw4MXv27PaDeXl5bV3wEEIIIdQV2dnZYnGv10INEskqcZXWsmJyImWnx8QpAx1OB2ySGy4cFC4cBABGR0uDpaTBUmqwN7FJDgDQJ060zy5cPEeCR3R1ZVVUTPu8Irr61+kLgsdT/vt16/79jitXnMXXnCUlzpISy86drqOi++5V/NNjhRXJBqGXnTOe66OYC+8yuhJCGgeyJJAnEdI46ELvwqqoX5e+tw/VndPCNF2CpouM5gpQdtdYqFyrUNTXmoc2VBjrS1qkoSJ5mNh7eFwxET+biJ8NKHB8JhhPPPHEypUr2Wy2a6lSY2NjTk7OK6+88uqrr/ZheAghhFC/N2nSpECH0HcIgCmDQscnhPC639CgL4k5SjFHmSgd3TZCZmVR33ip5bqrZOfsxLl9GFo3uB7Tq6JivD6vCxcuEC5cAACMw+EsKnJcueq4csVx+bLjaiErIsLtZFqv1/3lr6RMZti0LfLTBW3jNYu3AWxzvz5HCJSN0RSCphAAGJIFklhClgiyREKeDCwvRZ/aZxedxAzA0Kf+DjYtAAAQII0jQocRoUNBqCYBYgFU8TZ9s0mmErV9oH3Nq8420zMMc/VzIFhE9GQQhfs8DflDZ2Vq33zzzZdffrltDwaPx3v66afXr1/vtaJZ8MMytQghhALiZihTOzB4Nh0HgB2s/JDxM6emZvd9PH3Jdux448JFvo6qvviMN3Fi+xGqsti0+Z9sJcOO4LBD2G3bO5z1tOk4W/zII5zUlPbnV0XFeOQtEF1eCmz3L7uZK5+C3QihQ4iQIcBzbwzvphtdOyg7ffQFoGwABKFMg5iphCLF+5mox3wmGDqdTiqVms3m/Pz8srIylUo1dOhQhUJhMpmk0i5t4Q82mGAghBAKiLVr1w74MrWdi1+3s+112YYgnQ0AHwkGAHzKOhMxdf5tCQN81Y31YK7j/Hnd3//heUj23B8kTzzefsTy457mh1o7/ZECNic1lJcSwkkJsV1sMH57RfLE47Ln/vDLuQzoSumzb7hds2bxNuUz44w/1BKqaPnz6zhD3Ut4dYX3Joa+cgxrM1N5kKk73rryShxNxEwl1MOB8N5RpDfcJH3HfSYYBEHU1dWFhYW1H8zLy5s+fbpOp+uT2PwMEwyEEEIBkZubKxaLR44cGehAAqN9duHSj3KMwxMshst17+kPNrFtB+47ymN1Wr9oQHBby+QSXVUBbgtYGMZ+/gJj0DMUzRgNHQ4RBG/SZFLSukeCabnCXNjk63bNfz1ou9Ik+/MLklUdipQ6Cgp06zeQSiU7OpoVHc2KjmZHR7Giowluh/VX3UswWi9tZmqOMNWHwK4HAODJidhpRFRfrGO8efqOu09L5eXl/e1vrdUDHnzwQT6f3/5oUVFRSEhIH4WGEEIIDQg31R4MN57ZRZBjP7wSAHLKNrr6bIx2tJyX7x52rc5otxRo9g1RTueQfAAAux3YbCCDep9Jd2msmmPVh/+8Xr7jj9r243eul+f9kl3YKNuhyoMynixKEq0elsEmO2vZ7EJIYkA9gmk46+XQ0EcVH6ymGxu5I0a4HbLlnbbuP+DxAYKlVrOTkhQb/+5WCKu9i/uvqWLlIdEyDs9beBwhETeTiJnKNJxmKveDqY4p2k6EDAF+cNUk6Nfcf+9sNrut0oVIJBIIOlSGzsrKWrp0aR+FhhBCCA0IuAej32nr4ifmKMdF3BchSr2iOVRlLGAYGKmaC06n84vPAYBMH0xmZIBQGNBge6pYU/Rz+d4j1YcvN+fTDA0Ad7bLMe5c36HY69dXv3z9VGv5KRbBUovCIsVRkeLICHFUgixxWtwMludyI46IGLzMe4IRksIOAfCWKogfWMxNT3OWlTkrq6jKSmdVNVVdRVXXUPX1VH29o+CyrwQj4pHbajftqSxoqLrSKA8TR6WqBBJv804kmwi/hQjPYlqugl3vmV3cyFomhgK7AWw6xm4Auw7serDpgMUlEucDyfKcvoDANTHsbT6XSI0dO3bnzp1K5cBJ5nCJFEIIoYC4mfdgeJ3ByEpQPj5l0KQULxVRg5bJoSnSnWitcssw1K4fmOpqAAAWixw0iBg6jFAoAh3jjdDaNLO+muaknQDAZfFGh485Wn3Y7Zz2vcxrjDWbL7xXri+tMdY0mhtcCUmbv036++0Jc9qPGOyGU7UnQoWqIfkful32Rh6sKYqqr6f1Bk5aqmugKiqmrRMI/NIMhPf5tzqBWttgZGgmJFqWOCKyu/fxuZaJdgDDeJbJYqpzmfK9YDeAFwR5y/MgCPWaYAzI7AI6ryLlqbm5+Y033nj55Zd7L6DegwkGQgihgFi7dq1KpXr22WcDHUgAfH62at1X570eyoyWPzU9eVqauo9D8hemqYm+dJG5dg1oGgCIsHAyM5OIiwt0XJ2hGZokSLeRf558FQDGR00cFT6Gz+YDwOitv+63bp9duHHQjjpTba2xpsZYXWOoNjlNvx32iILfIdHaeHLDl5c/c70+GTe9bTyr/KfOL95FXneMAAAnLZX34Ar7rdNkUUqe8Po9Otx4TQaAIwSHGUg2OfpZEHbYpcwUfsXUHAWCBK4EuFKCKwWeDLhS4EoIcRRI431d9qZLMBiG+fzzz8+fP0/Tv+amBQUFx48fbytc279ggoEQQiggbvIEAwDa5xgb7snUGWz/PVTaZLQRBBz9w/QIGd/3BYKRnbJ/dOnDW6PGDgkdxuj1zMWLdOFVcDoBgFCrWXOzPUuvBpDBbjhec/Ro9aEj1YeBYbbd9b2EK+mzu19uLvjo0uZqY3VB0yXPo72RYEifetL0+edUQyMAEGKx8K67pE8+zor8dRJDW2cw6azKKKlA7H3LvvfswoVkgUBNZv4OuB1LqjIMOE3AFrlvhffQ1a4d/ZzP/wD++te/vvjii6mpqSUlJSqVKjY2try8XK/Xv/POO30ZH0IIIYT6uw33ZLZ/+9D4hAfHxv/vdFWjwab2uj4+uF1pLth07q2tlz54aeILbHbzoOFZUaPupy9fpgvyGY0GnM6+TDDaZhvcHtYLW64erT58tPrQ+YZzFEO5BpPkg7qyLduP0kMGb5j8T+g4K9LG7DAJOSLP8a5razUI7bqDS5552rprl3Hrx7Zjx0wffwx2m+Jfr7V9pKa42aSx1BQ2iZUCVaxcGSklWR1mdcgp//a+nGncK8AVe4+DIIDj41A7bjWvTuVcHqg5hs9/ZFu2bFm9evXrr7/+3//+95tvvtm5c6fFYpkyZcpA2pWBEEII9YHs7Oy2AioIAL4vqJuRrFpya1CvJurEUHXmHcl3fVf0zYu5f7l/6BS9vbFamDRs2G38zExwOoHrpY81tCuA6ypU5Rftn9pHbx3qyjHONZz548G1Deb61tuR7NFhWeOiJkyInpgoH+SvW/fc5jmf9DC7aOPWFJxgswXz5gnmzXMUFVm+3ymYPav90cQRkfXXWpprdMYWi7HFUnGpXhkpVcXJRXIB+NaTtUw0RdvMjksHSm74Cv2OzyVSfD7/66+/zs7OPnv27Lx586qqqgDg22+/3bBhw/Hjx/s2SP/AJVIIIYRQ33OtkmoTJuHVG2xTB4WGS7ysjPoxv+7/fiq6Y3jkklviRF5rjAYHmqFfPvLCzmvfCdnCJZm3hYulHJKXrpgcJ8l0P9Vkoq9epU/ntR/zS47hdU4gb9nFb4u2//XoiyqhenzUxHFRE26JvFXUhS/X+4av+RaXGmP1m6dfH6oaNjtxntteDv9yXC101teb4oc0VeoNLWbXoEDKSxgWIVK0phn0gdWnDasAYJTk3a5nFw6r06S12MwOm8VhtzjsZofN4nDaqU4+MiAnMXz+pxsdHV1YWAgAgwYNqqmpaWxsVKlUSqUyPz+/D8NDCCGE+r2bvEztfSOi3UZsTprH9t5BorzFXFCrL6jVbzp47cFxCQ+OjZd3f4duHyAJ8sXxf6UZalfJzk8v7n1s9APAsVxo3lNrLsoMuU3A/nWBPl1U5JZdAIDz/ff8OI/hZn7y3eOiJoQKVQRcZz9A3+t800V+06W9ZT/uLfvxzdP/nhQzdX7yXbdGjnPble4Xzb992FlSwoqOjlp8P3nnPS1GorlKZ9HbtPVGV4JxKucywCrXyacNq6DjWiaH1WkzO9g8Fl/kPluVf6jUYXW6DZIkwRVyllfc+Y7yK7dDAzK7AADWSy+95PXAtWvX3nrrLblcPm7cuO3bt5eUlKSlpa1fv95qtT7++ONePxLkPvjgg1mzZkVHu//fHEIIIdSrNm7cWFFRMW7cuEAHEizYpM8H31FxivGDQltM9su1huMlzR8fL28y2tIjpOLgm80gCGJK7LRyffnl5oIL9YW3x99NE0aDo6nSeInPEku5rdWxCKWSPn/O8+PkqFE9ufvJ2uM7r+V4jq8c/igAiDiiIMwuritRnpQekm5xWir05de0xbtKdn5b9I3BoY8UR0ncNlX3DKlQOAouUxUVtiNHbB99KNRUR4xJCRmZqoySEgQBADWFTW4fsVucDaWamqKmyoKGumvNTZXapgpdxKAQouOubspBszikVC1SRkpVsfKIpJCoNFV0ujosQfne+XeyBYvcLjv/+DTXX9kA43OJlF6vX758OUEQX3/99eHDh6dNm+ZwODgczqeffrpokftvp1/AJVIIIYQCIjc3VywWjxw5MtCBBK8qnaVGZx0cJmlLJE6Wtby1vzi3sBEA+BzWvWNinpqerBB6394QQBRDPZ+7dl/ZHilPtmXO1nrrxTpzEQDMiXuaRbT+Wdp2X7RHyGTE8OFkSmp373iq9sS7594+13DG69Ge12VyySlr7abX1nOwLzWaG76/9l1O8Y4KfTkAkAQ5I/729ZP+4c97MIw195Dpo48se/cBRQEAJzVFtGyZ6P778nYXd/5RDo/NFXCkocLodJ9Flku01/LqTubVnSrTlfxp7EvD1MMZo7E6Nd2ta4fb7pEBo6t9MDQaTV5eXkpKSlxwF3juBCYYCCGEUHA6UtpcobWwSGJwmGRwmIT85VvhC1W6t/YX771cxzDwu8lJf5iVFtg4vXLSzj8d+sOBip8/zv4yWZFSay500vYY8ZBfT/CWYAAAoVCwFnbjS9u8upPvnvvP2fozACDjyR/IWPafM//X4QR/ZxcuAckxAIAB5mz96R1F238u3yvlynYu2tsb0zJUba3pk09Nn31ONTQAgOLvr4oeWOxW7skl5dZYnoDDFXJIH1Nw5bqy0/Wn6vblMHnnOHqz1ERLjYzUzEQ7JRy9mbHbvX5qQOYYnSUYRqOxrKyMotw3pmRmemxg6g8wwUAIIRQQN/kejK6wOelz1bqSFhMASHjs0THy9lvAr9Ybdl6ovWtEVEJoh6JD7duEl22Y22fRemVxWgRsn2WI3HIM9m8fZurrQSgkpF1a+WNxWtbsf+pEzTEAkPHkizOW3pt2v79KMLlxyy5cApVjuFidVpqhfP15u9gWsHOM02ndvdt27Ljkd4+woqM9E4wh7HK6uZlqaaFbWmiNhm5poVtauMOGyTesB4BmS9NDu5ZUG6oIBr56Uctx34Xh04DMLqCTTd6fffbZihUrrFar56FuNf9GCCGEbnJbtmxRq9Vr1qwJdCDBi8cmb4lTJIYI86q0Wotjf3FTlIw/Oloh5LIAIDVMkjrTvTdc++zC9TawOUYn2QUA7Jqpa/92HkEQ4eGepzElJdT+n4mICCIpiYxPAF5rk5B6U92p2hNSnuyBwUvvTV/cS6lFJ842/SBkSyOEKW17S/qSq7+4m2M1R/5y5M+N5ob2g221eruLYLMF2dmC7GwAqIqKiQBov5YJAJp/+7Dnp2iN1vXC6rS2WJqVgpDR4Vnl69hJLWxFeAKpVLJClGRICKlUkgoFweP56js+8PhMMNatW5eZmfnCCy8MGhREJZMRQgih/gi/m+sKlZh3e6q6sNF4sVZfrbM2GOuHR8oGhXp5mHbLLoKc55xATtlG73MCbDYQBFNdzVRX04cPEzExZFISERcfL0v4+s7vQgQhgSo4W2XMB4BGS9mEiAfcDpXqzzBAC9hSAUsqYEt4LJ/Jj39XXlkclmaL+1ZsABi9dej7s7aOCLvxLU/R1ZVVUTERj9zmNt4yb3wlx3ANGoWqyAcmPEkqlZyUFNehKEn0vnsP8Vg8AIBJ17ly+7c3HGSQ85lg6HS6d999d9asWb5OQAghhBDyL5Ig0tSSWLnwTLW2UmvJq9IkhghJov8VRGqxtnBJrthX42cfiNhY9gNLtIXnJRWNTE01U15OlZcDm03ExcekpxPSgLWzGB46y+zUh/LdN+IaHS2XWn5qP0ISbCFbKmBLBSxJnGS4nNc6UeN15VVPTIubsePuXXdsu93z0MO7l22/6/tYaYdo3zj9ry8uf8pn8cVcMZ8t4LF4Eq6Uz+bzWfwEedKKYSs7r4d753o5QGurhky19LfTprmd0JpdXM8ATira85lgTJgw4erVq5hgIIQQQqiPCbmsCQkhdQYbRTP9MbugGGrhjjv4LN6m2ze7Pea20dpq5bwIt8FzDWfeO/f2ydoTj418avnUB+iSEuZaMVNfz1wrpsrL2Msf8ryO3xuEz4t/Nqds4+y9MtfbXTN1nUw1iDnKEaFztPY6i1NvceotlMFOWYyOFqOjBQAcjH206g5fn/U5jdNlkeJIr+MPZCyLFEe5DTppp4Ny2Cm73q73/MjsxLnRkta5hdFbh+7wdtlJMVNGh48ZHZ41SJHSk7BvBj4TjPfffz8rK6usrOyWW27hcDr0uFmwYEHvB4YQQggNENnZ2WJxsLRS7kfCJT6/Ei7bMDeYV0mxCFaaMv1k7fFHflzx3qwPvZ5zqPYTJT86TT4hhB8DABcazr17/m3XNm4xVzw4JAMEAjIjAzIywGikS0qA72UfQvu94zfQvM/qNFCMU8Tp0DPb+f57s0HW9nb2Xhl42X3wq2hxRjRktL2lGIfZqbc49VbKqPKY8egDvvZgPDNm7eMjn7JSNoNNb6OsVqfV6DBanBab0yrmStqyC9cVRoOXLun/mvZmbwU94PisIvXOO+889thjXo/204WkWEUKIYQQ6u+aTXYOi5DyOdBuJwZJEAQBW5dnTRgUGtDofmV1Wlf/9Fhe3ckwUfh7t394pvnz9keTZbeWGc45aKuYowzljtl84b1DVQcBQMgWLkq7d9nQFdIu9JXzWv2WddfdAAAkSSiV7scYhmmoBycFAA7KUqfNb7SUE0AMD51NsDlETAyQpK/L9nx6xOsSqez4NT2vPOuXKlKdXNO/V75J+EwwEhMThwwZsnHjRs9N3iwWq/cD8z9MMBBCCAUElqn1FyfNfH2hGgBSVZIh4VLXa5d1X50PFfN2PjEhTOrlm/6AMDvNT+793bmGM5HiyHdv/zCv6VNot7OZYhwXm45uOvNhXt1pABBxxPcNXnz/4KVdSS1cfLXXcGFNmUIkd1jJQ+dfoo8e9XU+OWEimZ7u67JESAhIpYRUClIZIZUScjkIhV2M08VrghHCjxmpyuazgnF+zy3HwASjW3wmGEKhcOfOnVOnTu3jgHoPJhgIIYQCYu3atVim1l/O1+guNxi8Prys++r89DT1B8vG9HlQPpkdpsf3PXKh4ZzbuOtpdfOF994++6aII743ffHiwUukPBkAUIzDQdu68sztPRMIDQUA4HDJcePcJjGolgbz0Z8tdi3N0EAAiy+SckLZJA8ACDaHGDmSkEh8XdbjNgRrbjYR4b6HpOsxa5fMOtv4vZUycVnCEaFz1AJMvwcUn3swMjMzc3NzB1KCgRBCCAUE7sHwo8xIWaxCuPtKveehKLlAb+1yh7M+IeSI3pzxzuTPxrqNu9o13JN2f5gofGL0ZFdq4XKm8fs6c7FakJAoHaMSdHsPQ+sSKQ/VpssFpv3WISYACOXHpikmKTy2mPvCXrqM0etBr2f0OtDrGb0ebHYQuPf9oM+fo/PyCLEYZDJCIgWZlJDKQColJBJgsdzyFvnHuyc99ODZph8aLaUn6r9OkY9LlY/v7h8WBS2fCcY999zz3HPP5efnjx492m1N1O9///veDwwhhBAaICZN8l0YH3WfQlEc+4MAACAASURBVMDxOn5wzdQgrDjVSecKMVc8N8m9yJJKkNBkrWiwlDZYSqVcdZJ0dKQo3WsFVfbDK90bhPveKXGxea+Dtsl5EWnyiZ3nLW6XdV2TUKlApbrOb5ckgWFaU5H24wRBKBSep7M2f3LL8uXXTGeuaA6X6k/3JMHweykt1EM+l0jFxPjsNVhZ2S8r+OISKYQQQgGBezD87vOzVZ6D942I7vtIusJzxzB0uqbfQVvLDOfK9GeslAkA+CxxgnRUnCSTQ3ap04JXzdYqinH0+kokivplrkMPel3ra6MRSBKcPiaXWCyGywEelxSIgMcjeDzg8YmQEKJrjZ49F3QFc47huRGlh4V6g5bPGYx+mkUghBBCwWbLli24B8O/7hsR7TXHGBg4JD9ZdmuSdEy16XKJPk9vb7ysOVikO5alvttV0/YGhPD7JPtisQiFAhSKDnMdNA007fxws5fz2WxwOgkLBRYro9UDQNvX3uyICBB1aApOnzhOFxcTPD7wecDjETw+8LxkXDdQrhf5nc8EAyGEEEL+0k8rvAcztxwjaKcvvOpKSSKSYMWIh8SIhzRayq7pTzVZyu205bqf0thqi3THpBxVmmKiPyL1B5J0FcB105oGUBTYbIzVCjYb2GyMzQo2G/D5btkFADAGI5jNjNnc+raXo/Y7r3W0et5tMDi5JxgffPBBXFzcjBkzPvjgA1+fWbFiRS9HhRBCCCF0HZ0kFTTDbD5SmhYuDYbOGK50om2hVHcLnqoE8SpBPMPQhMdODLdn1nDhoDpzMQDYeddPRfqY160dAAAsFgiFxC9Fb11TH42W0vyaD5NlY6NEaW0fYc2YASYTY7O1T0XoEyd83ZH6PodpaSFCQwllCBGiBGUIoVB4TXV8afv1diUHsFMWs1NncerMlN7i1JudOrNDZ3bqRBzF5MhlXb/pwOCeYKxevTo7O3vGjBmdzORigoEQQgihYNZgsL2y87KAw/rm0XFp4V3tLNGrethI4brZBQDUmYtZBCdROipJltWTe/WSrq9cMjt1BnvTmcacJmv5EOV0FvHL86pIRPwys+FKRTwTjA53sdmY6mqm+pd+KSRJKJREiJJITiEiIzsJwO13e915hrzG72pNV70eYhGtpZLmxT978+7BMBgMrhdlZWVSqZToWI6BoiiTydRHoSGEEEIDApap7XvhUv5vRsd8mVf5yCdnch6fIOHfLGvCp0c/zGO5Ly7qd+IkwxmA/Jb9FYYLGlvNaNUdYk6I1zN9TowAsLLngcnENDczzc1MSzM0NTEGA9PcxDQ3Ec3NrLsXuF/L6QR267+T2XtlbgdPzf/G7NSZnTo2yZsSudxtwz2LYHNIvoAtFbKlQrZMwJYJ2TIhWypgy9zObH/lXTN1XfyF9Ds+/3uTy+V1dXVhYWHtB8+ePTt9+nSdbsD+OhBCCCG/wzK1fYlhYE9hg5DDenFeRn6N/lKN7pmvzr23ZHQQVrDtDQMgu3CJlwxX8iJPN+YY7E25NR8PDZkRIx7i9czOJkZEIkIkImJjW986HExLC9PcTKhUbicyBgO17WsgCEKp/GHo1dngnmC41p4BAI8lIsD9H9OI0Dld+UO55S2z98rg4a58rv9xTzDy8vL+9re/uV4/+OCDfD6//dGioqKQEO8ZJEIIIYS8wjK1fYkBxuKgWsx2imHeeWDkvLcO771cv/lI6YoJ+PvvZ6Rc9cSIJRdb9lUZ88817WqyVgxVzmCT3Bu/IodDhIURHb89dyFYLEIgYPR6pq5udp17dgEAs/fKTMvmC9kyDskHADCZqCOHf629y+EC+UvWwWaTQ4e5tVEHp5O+dOnGI+9v3NfzsdlssVjsmskViUTijrKysjZv9lZlDCGEEEI+bNmyZdu2bYGO4mZBEsT0ZBWfw6rVW8s0lo0LhhEEbNh1+WRZS6BD8zPP5fsDb0E/m+SOCJ0zPHQ2i+BUGfNPN37n3+tTjKPZWumk7SAUsn5zL/uBJazZPuciZNyw1uwCgNFomPJy1wYPprqaKStlSkpafwoLmcJCt88yVVX0qZOe1/Ts4zEw+Gy0N3bs2J07dyrd0q/eZ7fb9Xo9i8VSeGv62BPYaA8hhFBA5ObmisXikSNHBjqQm4jW4vi5uNHmpGPkgkNXGt7NLVFJeDufmKiW3HivuuDk2jc88FILN0ZH8/nmPUpeVLrCDwsO7ZS5znKt3lzcaCmjGGe8ZMTQkBntT+hK/z6muRms1tY3DjvQvz5RE9HRwO0400JRzs1eCrQO1JYdPvdgHDt2rP3bq1evlpaWZmVl9VLKUVlZuWnTps8//7ysrMyV8/B4vJiYmIULF65cuRKnlRFCCPVfuAej78kFnKmDVD8XNVZqLRPT1GcrtSdLW/6zv/jlOzICHZqfDfjUwkXMCRkffl8PL2J2auvMxXXmohZrNQMMABBAKHlR7Yvhdh3RrV0DLJbbfvSBzecMRmVl5YoVKzIzMzdu3Lh9+/Z77rmHoqjQ0NB9+/ZlZmb6N4izZ89OmDAhJCQkOzs7LS1NqVQyDKPVagsLC3/44QeNRrN///6e3xRnMBBCCAUE7sEIlCaT/UBxo4NmFALuN3mV94yOmZ6mDnRQKDBONeyoMxe5XpMEO5QfGy5MDhcmdbIt3pUP+HeSwVfNqwHGZ4Jx1113nTx58u23354/f/6IESPCwsLeeeedVatW8Xi8nJwc/wYxdepUgUCwbds2gUDgdsjpdC5durSxsXHv3r09vAsmGAghhAJi7dq1arW6kwZTqPc0GG0HrjVRNDM2ThmvFAY6HORPdsqis9erBPFd6Yh3uPYTo6NFLUgMFyarBQk92iyOrsfnEqnc3NxXX311/vz5tbW1586d27t3b0JCwvLly5966im/B3HmzJnNmzd7ZhcAwGazH3300Xnz5vn9pgghhFCf8fV1HuptajFvSlLo5XqDQsgJdCzIz/I1+6uM+e1Hcso2jlbdYXA0J0pHu6UQEyIe6Nvobmo++6XTNC2VSgFg9+7dfD5/woQJACCRSCwW/zefT0lJ+fnnn30d/emnn1JTU/1+U4QQQgjdDNRi3uSkUBkfE4yBxmtnjLzG765qjzRay/o8HPQrnzMYWVlZb7zxRmho6Ouvv3777bfz+XyTybRp06a0tBvZB9O55557btGiRaWlpQsXLkxPT1coFARBuPZg7Nix49tvv/3yyy/9flOEEEIIIdR/hfJjvY5nKKeGCZL6OBjUns8E4x//+Mftt98+Y8YMqVS6detWABg5cmRZWVlvVPJesGBBTk7Oa6+9tmLFivbjBEFMnTo1Jydn9uzZfr8pQggh1Deys7NdDaZQkMiv0T/91bnVM5LnDIkIdCzI/xKlowMdws3OZ4KRmZlZWlpaUFCQkJDgKk37yiuvDB8+PDk5uTfimDt37ty5czUaTU1NTW1tLQCEhYVFRUX1fSMOhBBCyL+wTG2wKW40FtYb1vzv/CCVOCVMEuhwkD/dJHV7g5z7HowXXnghP791u4xAIGhqanI4HK63ixYtqqmpGTNmTO9Fo1AoMjIyZsyYMWPGjKFDhx46dKixsbH3bocQQgj1gYKCgtLS0kBHgX5Fk8TIBIXZTq365LTR5gx0OOjGYToRnNxnMFzTFBkZrW1oZs2a9fXXXy9YsMD1VqvV5uXl9Vlwd9555759+6ZPn97F82maLi8v91Wpw263+y80hBBCqKu2bNmCZWqDypBwyV2jYuq01tIm03PbL7x1HzZZ78cwxwhCPpdI9aVvvvlm+/btXg9t2LBhy5YtAPDxxx9f9zqHDh166KGHfB2tqampr6+/0RgRQgihG4R7MIJNskpMM6AbG/fW3sLvL9SOjit7cFx8oINCaOAIigSDx+Nt377dbDaPGjWKw+lQRa6mpsZkMnXxOpMnT7527Zqvo2PHjg0LC+tRoAghhFD34R6MIJSqFjtoukFn+/ho6V9/KBgSJRsdpwh0UAgNEEGRYMyZM+fMmTOLFy9msVhbt25NSUlxjRME8eabb3Z9iRRCCCEUhAoKCgQCQUJCQqADQR0MCZfSo6JLGo2HCxsf/fTMj6snKoTY3RkhP/DZaK+PpaamHjt2bOrUqaNGjdq0aVOgw0EIIYT8ZsuWLb1R5B313LAI6eoZKXGhogaDNed8baDDQWiACJYEAwA4HM6rr776/fffr1+/fs6cOXV1dYGOCCGEEPIPXwVIUMCNjpG/OC9j0ZjYjGhpoGNBaIDwkmAsX75c9Qu3t0uWLOntgCZPnnzhwgWpVDp06NDevhdCCCGE0LQU1XO3p46Ilgc6EIQGCPc9GKtXrw5IHO3J5fIvvvjiiy++OHHiRExMTKDDQQghhNAAFyJq3X3x+dmq9uP3jYgORDgI9W/uCcbrr78ekDg8nT9//o9//KNrFgUhhBDqv7BMbX/x+dmqdV+ddxvEHAOh7gqiPRhuXn311ZaWlkBHgRBCCPXUpEmTRo7EVm79gGd24TmCELqu4E0wEEIIoYGhoKCgtLQ00FEghFAfwQQDIYQQ6l1YphYhdFMJikZ7Xu3btw93eCOEEBoAcA8GQuim0r0ZDJvNZjKZeikUN9OnTxcKhX1zL4QQQqj34B6M/qJsw1y3kfvHxV1r7qMnH4QGjO4lGA8++CB+B4MQQgh1C+7B6EfccoxvT1cfLG5qNtkDFQ9C/VH3lkhNnToVEwyEEEKoW7Zs2aJWq9esWRPoQFCXuHIMhoGlH548VNT43dkqpYh7e6pawGEFOjSE+gf3GYzKykqHwwEA5eXlNE27HV25cuX777/fR6EhhBBCAwXDMIEOAXUPQcD6u4aIuOxz/8/efcc1dfUNAD8JYQdIAkFGmCrTgQgOVEoFW5WAIFjQaou4cOLAVeuoe9RRFWz1cVtRqa8IiqKCExygoiB7g0AI2zBDkveP65PmCUlEDSTA7/vhj9xzT879hdwL99yziupeFtU+KaiG7xCAThKuYFhbWyclJSGETE1NmUymLEICAAAAAJA9I7LamomWCKHU4tqaJnYbR/jBKwBAJOEuUi4uLn5+flZWVgihadOmKSsrd3zP3bt3uyM0AAAAAACZ+mmUKUVNyUpfQ1dTRZkAk/sD0CnCFYyjR48eO3asoaHh3r17ZmZmMI8TAAAA8JVgmtqeC4dDHkMNZB0FAD2McAXD1NR0z549CKHCwsJDhw6RyWRZRAUAAAD0Hs7OzrIOAQAAuo/Yxr5bt25htYuSkpK0tLRuDAkAAADoVWCaWgBAnyKpN2FsbKy+vr6xsfHgwYMRQm5ubkeOHOmuwAAAAIBe4syZM1evXpV1FEBqapra8qsbYU4pAMQRW8G4cOECnU739PQ8f/48luLk5BQcHHz8+PHuig0AAADoDeh0+vjx42UdBZCCQ/ey/U88e15U87y4Nq28QdbhACCnxC60t2vXrqVLlx44cKC6uhpL2bp1a0tLy5EjR+bPn99d4QEAAAA9HozB6DVS39c/y6/up6ky2lInraKBpKpoRFKVdVAAyB2xLRiFhYUTJkwQSvz222+hFykAAADwWWAMRq+xYbKNiqJC1Jv33DYuQuhpUU1NU5usgwJA7oitYFhZWT1//lwoMTk5uX///l0cEgAAANCrwBiMXsOcqh7sOpDHQ6H3cw01VThc3pOC6tZ2WIAPgP8htovU0qVL58+fTyAQXF1dEUJMJjM6Onr79u27d+/uxvAAAACA3oDHgyHBvcQCZ/N7GYyXRbWxaRXf2vRjslofF1SPH6CDx+FkHRoA8kJsC0ZAQMD+/fsPHTrk5OSEENLV1V20aNHKlSuXL1/ejeEBAAAAAMgRPA6312eIMgF/8XkRrp2npqjAZLW+Kq2XdVwAyBFJ09QuXbq0qKjo+fPnly9fjo+PLy0t3bVrFw4q6AAAAADow/pTiUvHD+Tx0OboNHualgIel1PFqmtmyzouAOSF2C5SGHV1dTs7Oz09PV1dXRUVle6JCQAAAOhN6HQ6kUiUdRRAmoK+6X87rSKtrP7m2/Ipdoal9c0ayp+4pwKg75DUgnH9+vVhw4apqqqamJioqakNHTr0+vXr3RYZAAAA0Ds4Ozvb29vLOgogTQQ87qCf3WhzbXsjsr6miqMRWQEPXTwA+EhsBSMqKsrLy8vQ0PDMmTN37949f/68qampl5fXjRs3ujM+AAAAoKeDaWp7pYG6xPB5o0aYUWQdCAByByduXouRI0cOGjTo5MmTgonz5s1LS0t7+vRpt8QmZaNHjz548OCoUaNkHQgAAIC+Zc2aNbq6uiEhIbIOBAAAuoPYFoz09PSpU6cKJfr6+r57966LQwIAAAB6FTqdPn78eFlHAbpPOxdmJQZ9mtgKBo1GS0tLE0pMTU01MjLq4pAAAACAXgXGYPQpb8rq/y+17H19i6wDAUBmxFYwZsyYsWXLliNHjjAYDB6Px2AwQkNDN27cOH369O6MDwAAAOjpYAxGXxCTVn77XQVCSFVRgcPlPS2qaWiBiWtBHyV2SrUNGzYwGIyVK1cuW7YMj8dzuVwCgTB//vz169d3Z3wAAABAT3fmzBkYg9HrrfnnbTObczXIyc6IVNXYVlTb9DCv+jtLXWWCpBk7AeiVxJ70eDz+6NGjBQUFUVFRYWFhUVFR+fn5oaGhCgoK3RkfAAAA0AuIm1IF9Bo/jTblcHmrIt60tnNHGpMpakqstvbEwhr45kEf9IlFYWg0Go1G655QAAAAAAB6qOWuA+9lMLIZHw7FZa/93mqcmXZsFqPiQ0tKWf0wQy1ZRwdAtxLdgpGamhoeHs7fDAsLW7FixePHj7srKgAAAACAnkSJgN/rM0QBjzvxKP9NaZ2aksI4cx08DpdZ+SG/ulHW0QHQrYQrGBwOJzg4eMiQISdOnOAn8ni806dPOzs7L1q0CBp5AQAAgM9Cp9NdXV1lHQXocnZGpLljzdr/21FKR11pOI2EEEourWtoaZd1dAB0H+EKxqlTp44cOXLgwIGoqCh+4uLFixkMxvr1648dO3b+/PnujRAAAADo2WCa2r5j1QTLgbrE3ErW0fs5CKEBOuqWukQeD7E53PDXpdiPrGMEoMsJr+Q9fPjwgQMHXrp0SWRuLy+vysrKxMTEbolNymAlbwAAADKRnp6uqqpqZmYm60BAd3hZVDvtr6d4PLq1zHmgLhEhxOHyrrx5L5hn+jAY4Ap6M+EWjNzc3G+//VZc7gkTJmRlZXVxSAAAAECvcubMmatXr8o6CtBNhpuQ540z43B5jIaPa+0J1S4QQtCOAXo34VmkiEQih8MRlxtbDaOLQwIAAAB6FTqdTiQSZR0F6D7rJ1nPH9dfm6gk60AAkA3hFoxBgwY9ePBAXO67d+9aW1t3bUQAAABA7wJjMPogqF2Avky4grFo0aKIiAjBKaT4/vjjj+jo6EWLFnVLYAAAAEAvkZ6eXlBQIOsoAACgmwj3d5oyZcrKlSvnz59/+vTpadOmYSPS8vLyLl++nJSUFBQU9MMPP8giTgAAAKCnOnPmjK6ubkhIiKwDAbIxfRit46CL1+9hAT7Qa4kYULF//35vb++1a9euX7++tbUVIaSkpDRkyJC7d++6ubl1e4QAAABAjwerSPVlNY1tUwcbKBM+dhspa2h5UlCdWfmhnct1NCLLNjYAuoLoEdtjx45NSEjgcDj5+fkcDmfAgAEwthsAAAAA4HMxP7SO3Rtvra/5T5ATAY9DCBloqowz035cUJ1b1cjjIUdjMk7WQQIgXZKqDQoKCgMHDuy2UAAAAAAAehktVUWqhnJKSd2ADTFYSuEud31NFWdz7Uf51XnVjQhBHQP0NsKDvGWura2tqqqqtrZW1oEAAAAA0kGn011dXWUdBZANJQJ+r89QwRTT9TcRQnoaKt+Y6yjgcXnVjS+KaqELHehN5KWCUVJSsmHDBnNzcxUVFSqVSqFQVFRUBg4cuH79eph5AwAAQI8G09T2cTP+80woBatj9NNQdumvQ8Dj8msa39c3yyI0ALqEXIyseP369dixY7W1tel0upWVFYVC4fF4dXV12dnZV65c+euvv+7fvz906NBPFwQAAADIn/T0dFVVVWxiRgAE6RKVxw+g5lU3UtWVZR0LAFIjFxWMlStXfvPNN1evXlVVVRXadfDgwZ9++ikkJOTu3bsyiQ0AAAD4SjBNLZBAW11JWx1W5QO9ilxUMF69enXq1KmOtQuEEIFAWLRokYeHR/dHBQAAAEgFnU4nEomyjgIAALqJXIzBsLCwiI+PF7c3Li7O0tKyO+MBAAAApAjGYPRxhbvchVJmO5nKIhAAuolctGCsW7du2rRpBQUFvr6+1tbWZDIZh8NhYzAiIyOvX79++fJlWccIAAAAfCEYgwE61jEkyGKyPrS2DzPQUsDD7LWgR5KLCoaPj090dPT+/fvnzJkjmI7D4b799tvo6OhJkybJKjYAAADgK8EYDPBZCqoba5vZH1ranc21oY4BeiK5qGAghNzd3d3d3Wtra8vKysrLyxFC/fr1MzQ0pFAosg4NAAAA+Fo8HqxzADrLyVQ7PpdZ8aHlQV7VN/11CFDHAD2NvFQwMGQymUwm29raIoTq6uqYTCaJRMLj5WKgCAAAAACA1LW2c/+Iy3G10h1uQsZSNFUIrgOpcTnMSlbrg7yqb8x1FBWgjgF6Enm5d79w4YKTk1NqaipCiMFgeHh4kMlkCwsLEon0xx9/dLKQ9vb2fPFaW1u78hMAAAAAAHy2tPf1YQ9yp//n2e13FfxEDWXCBAuquhKByWp9kMdkc7gyjBCAzyUXLRiHDx8ODg4eN26crq4uQuinn3569+7dsWPHTE1N4+PjQ0JCKBTKrFmzPlnO06dPAwICxO0tLy9nMBhSDBsAAADoDJimFkhgb0wOHGN2KqFg8cVXO70H+zkYYenqSgTXgdT4XGZVY1t8btW3A3SUFOTluTAAkuHkoVeoubm5v7//zp07EUIMBkNPT+/Ro0fjxo3D9q5fvz42NvbVq1dfeZTRo0cfPHhw1KhRXxsuAAAAAIBUHXuYt+d2Jg6HgscPXO5mwU9vbGuPz6litbUbkVTHmmnLMEIAOk8uqsINDQ0ODg7YayaTiRASnC/c2dk5NzdXNpEBAAAAXy09Pb2goEDWUQC5tvCb/r/7DlXA4Q7F5fwW/Y773+e/WDuGLlGZogarfYMeQy4qGOPGjTt58mRbWxtCyMrKSkND49mzZ/y9jx8/trGxkV10AAAAwFc5c+bM1atXZR0FkHe+w2lhP9orE/CnEwtXRbxp53ysY6gpKbgOpNr005BteAB0nsKWLVtkHQOys7PbuXPn33//3djYyOFwjI2Nf/nlFwqFUl9ff/z48d9//33Pnj2DBg36yqOcPHly4sSJNBpNKjEDAAAAnaSsrGxpaamvry/rQIC8608l2hmR77xjvH1fr6KIdzSFyfpBjyQXYzAQQjk5OQcPHrx8+XJNTY1guq2t7aZNm3744YevPwSMwQAAAACA/HtTUrfzVubS8QPGDtCRdSwAfAl5qWBg2Gx2aWkpg8Goqakhk8l6enpmZmbSKhwqGAAAAGQiPT1dVVVViv/RQB/X2s7NrW40p6ipKirIOhYARJCLMRh8ioqKZmZmo0aNmjx5clRUFEzqBwAAoBeAMRhAuopqm96W1d/LYTa1cWQdCwAiyMU6GCLt3r07ICCASqXKOhAAAADga8lVfwHQ05lR1Apqmmqa2q6/KxdMnz4MBpoCuSBfLRgAAAAAAEDIu7KGueeSXxfXYZuKCvjxooZnhL8u7d64ABANKhgAAAAAAHLtZVHtvQzGjyefPchiYimKsKo3kGPye3beu3fPyMhI1lEAAAAAX4tOp7u6uso6CtCD/TjSeMYI46Y2ztxzSf+8hGYKIO/kdwwG/C0GAADQOzg7O8s6BNCzKeBxO7wG62ooH4rLWX31TV1z29yx5rIOCgCx5LeCAQAAAPQOME0t+Ho4HFruZqGlprTtRvr2mxnVrDbjfsKTbU627ieT2AAQIr9dpAAAAIDeAaapBdIy28l0n+8QAh537GFeRkmdn50hf9f0YTQtFUUZxgYAH7RgAAAAAF2LTqfDyk5AWnzsaZqqikvDX597WnTuaRE/HeaoBfIDWjAAAACAruXs7Gxvby/rKEDvMcG6399zRgolmq6/KZRS8aG1voXdXUEB8C+oYAAAAABdKz09vaCgQNZRgF5luAm5Y6JgHaO1nXs/lxmbVZlTxerGuABACCoYAAAAQFeDMRig+ykT8BZUIofLSy6pSyioZnO4so4I9CFQwQAAAAC6HI/Hk3UIoE+oaWzjvx5OI40z11ZSwBfXNd/KZFQJ7AKgS0EFAwAAAACgl5hw6OGttAr+Jk1LdaJVPx11pcY2TlwOM4sJ3aVAd4AKBgAAAABAz1O4y71wlzt/M3Xz9+MG6lSz2hb+/XLZpdd1TR+Hd6srKbgOpFpQiVwe71Vp3ZOCai60p4EuBtPUAgAAAF0LpqkFXUewjnFu9sjwpOIdMRlRb8oS86p3eg/6zkYPIYTH4YbTSLpE5efFtSV1zXXNbIqakuxCBr0fru/0Ch09evTBgwdHjRol60AAAAAAALpKaW3z6n/ePM2vRgi5D9bf4TWYpPZxAb6mNk5NUxuNpCrTAEHvB12kAAAAgK4F09SC7kQjq/49d+Qmuo2KosLN1HL3I4/5I7/VlBSgdgG6AVQwAAAAgK4F09SCbobH4QLHmN1aNm64Cbm2qa2FzZF1RKBvgTEYAAAAQNeCMRhAJsx01P9Z4NTazlFRVBCXp5nNeVpUQ9NStaDCKQqkBioYAAAAQNdydnaWdQigj8LhkITaBUKoqY3D+NDK+NDKYLWONCYrKUDfFiAFcBoBAAAAXQvGYAC58iCL+ba0Hnutra7kbK6tpIAvhcX4gPRABQMAAADoWjAGA8iP+mb27LMvvI8l7IzJaG3nIoQMtVQnWfXTUVdqauPcy6lMo9cSiAAAIABJREFULW/gIRT+ujT8damsgwU9FVQwAAAAgC7XdyaFB3JOS1VxhZsFDqHjj/Pdjzx+U1KHEFJTUnAbqDtITxPxUFpFw6X/Vi2gmgG+TB8ag8HhcN6/f5+fny/rQAAAoDsoKCiYmJjIOgoAgNxZNn7gdzb9Vl55k17e4PNn4rxx5ivcLJQI+MH6mmQ1xcf51UL5w1+XTh9Gk0mooIfqQxWMrKyshQsXamhoyDoQAADoDhUVFdevX3dzc5N1IAAAuWOlp3lt0ZhD97KPP84/9jAvLrNy/7Shgw21aFqwSgaQgj5UweByuTt37pw7d66sAwEAgO7g4eHR0tIi6ygAQjBNLZBLygT82olWE2z6rYp4k8344H0s4fTPjuMGUmUdF+gNYAwGAAAA0LWcnZ3t7e1lHQUAItgbk2OWjQscY4bH4Zra/l2Pb/2VN+uvvJFhYKBH60MtGAAAAIBMpKenq6qqmpmZyToQAERQVVTYRLfZRLfBNqcPo5muv4m9xuoYhbvcuTxeblWjLlGZpKoos0BBzwEtGAAAAEDXgmlqQQ/Cr10IpjBZbS9L62KzKlPLG7gwJRr4FGjBAAAAALoWjMEAPZ0uUdlSl5hdyUqraCitbx5lTCGrQVMGEAtaMAAAAICuBWMwQE+3704WWVnRzUJXU5lQ18yOzWa8KauHpgwgDlQwAAAAgK6Vnp5eUFAg6ygA+HJhD3K/3f8g6HxyQ2ObGVkNIZTO+HA7s7K6qU3WoQF5BBUMAAAAoGvBGAzQgxTuchdK+SfIyc/BSF2ZkFxUu/7/UgNPv2hgtWkoE+pb2PeymbXNbJnECeQZjMEAAAAAuhwPOpOAngOrY5iuv8mvbDiYkDd72N5KK494Wfq8oLq4ummOk9nb8obyhhYCHifTYIE8ggoGAAAAAAAQJtSUoaak4GNP87Gn1TWxNVUJeBxumKHWMEMtWYUH5BlUMAAAAAAAQGeRRM0ftTnq3bXX790H609zoNkbk7s/KiBXYAyGHDl//ry4XZMmTcL9l4aGhouLS2RkpMi9fFh/XyqVisfjy8rKBEurqqoiEAgaGhpfHOr27dsFj2VtbS05XVBOTs6kSZNIJJKhoWFQUFBDQ8MXhwG+zOnTp4cPH66lpeXl5VVeXi7dwlksVlubiDF/9fX1OBwuKytLuof7Gq2trTgc7s0bSUvV8j9ON8ff2Ng4Z84cU1NTCoUyZcqU/Px8LJ3NZoeEhNBoNDMzs99++w163fQUdDrd1dVV1lEA0IWUCfiGFnZ4UvHUY4lj994Pe5DLaGiRdVBAZqAFQ14kJycHBgbOmjVLXAZvb+/NmzcjhCorK2NiYnx8fMLCwhYsWIDt9fT03Lp1q2B+U1NT/utr164tXryYvxkVFcXlcr8m2oKCAl9f36CgIGxTTU1Ncjofh8Px8vIyMzO7e/dufn7+6tWr2Wz2yZMnvyYY8FlOnTq1atWq48eP6+jorFmzZtasWffu3ZNi+RMmTAgICOCfmXzKysq//vqrtra2FI/VDfgfp5vj9/b2Li4uPnnypKam5qpVqzw9PV+/fq2oqLhx48bLly+fPXu2qanp559/1tLSWr58efeEBL6Gs7OzrEMAoGv9Mtnaz9Hon5elF18Ul9Y27Y3N2n83+xsLqu9w2nfWegSFj+M0sFX8Oo4jB70MVDBk79WrVxEREadOnZKcTVtbe+jQodjrCRMmUKnUX3/9debMmerq6gghCoXC3yvEycnp6tWrghWMa9euOTk5SX5wK1lBQYGHh0fHB3Li0vlSU1MzMjISEhJIJJKjo2Nubu6RI0e+OAzwuXg83s6dO/fu3Ttt2jSEUFhY2KZNm1gsVlcvAdbc3Kyqqrpt27YuPUqXUlFR6bb4CwsL7969++LFC0dHR4RQeHg4jUZLTk4eNmzYiRMnQkNDsUts06ZNoaGhwcHBOByMsJR36enpqqqqZmZmsg4EgC7Un0pcO9Fq9liz008Ln2RXZZTXx2dWxmdWznYy3exhK7hAOFQzej3oIvUvHg+9q2i4m10ZmyXNn+fFtS3tHAnHLS4urqurc3Bw+KxolyxZwmKxYmJiPpnT29v78ePHTCYT22SxWPfu3fP29haZOTQ0FIfDVVdXSy6zoKDAxMSkpaWlqampM+l8WlpaR48eJZFI2CaRSNTR0fnkR+itWu7dY/pNr5w0WYo/VbN+bktOFnfE1NTUvLw8/rfv6Oh469atjrULHA4XFhamr6+voaExZcqU9+/fT58+nUwmm5mZ8U+5zMzMyZMna2trk8nkyZMnFxYWIoQcHByePXu2aNGiH3/8kcPh4HC4ly9fjhs3Ljg4uLGxEetiFBUVpampWVpaihBisVhGRkZ//fWXUADl5eVTp07V1ta2tLTcs2cP1hGosrLSz8+PSqUaGxsvWrSosbGxk9EmJCSYmZnt379fX1+fRCJ5enpiRxdUW1s7Z84cQ0NDMpns7+9fX18v9HH48UuOJCoqysLCQlVV1dbW9sGDBx2/gs5cYrW1tQ4ODnZ2dtgmiUQiEAhMJvPdu3c1NTXfffcdlj5hwoTc3Fypd3IDXQGmqQV9hy5ROcTVYrv3oF88bTyGGVrpa1rqi+6SLVjlAL0MVDD+lc5oeFveUNXYVtMkzZ/86sYnBTUSjuvl5XXs2LFly5Z9VrSampomJib8lZtqa2vfCRC8f6LRaA4ODtevX8c2Y2JiLC0tBwwYILLYESNGbNmypWPXJkHt7e2lpaX79u1TV1fX0NAYN25cZmamhHRBZmZmixYtQghFR0fv3Llzx44dGzZs+KwP3muwU1OrAue2PnnS9jZVij8t8fHMGTM5FRUiD1pWVqaqqnrr1i0bGxsymezl5VVSUiIyZ1hY2M2bN69duxYfHz9gwAA3N7fExERLS8vg4GAsw+TJkwkEQkxMTGRkZEVFxerVqxFCycnJo0aNCgsL+/vvv7FswcHBwcHBgs/+PT09J02ahJ3wGzduHDBgwPz58wUPzeFwXF1dCQRCXFzcxo0bt2/f/scff/B4vIkTJ1ZXV9+6dev8+fOPHj0KCAjofLTFxcWhoaFnz569detWXV3dhAkTOJx/q/08Ho9OpzMYjKioqLi4OBaL5e3t3d7e3vHjYJklRBIcHHzkyJGkpCRjY+PAwMCOv9jOXGLDhg1LSkpSVPw4jPLcuXN4PH7EiBEVFRXKysoUCgVLNzAwQAgxGAwJRQE5QafTx48fL+soAOgmCnjcUAMtT1uDiYP1fh5nhgj4lLJ6WQcFuhV0kfrX+y4bjcRktbZxuEoKUq7OUalU/sPL69ev86sQCKGZM2cKDhn38fG5evXq3LlzEULXrl2bOnWquDIdHR2xXhkSvH//nkAgfPvtt9HR0Q0NDQsXLpwyZUpqamp5ebnIdCUlpY6FREREJCQkKCkp8e+W+prm+w8QR1LT1hfjNTa2JiSq+Yj4lplMZmtr6++//3706FEikbh27Vo6nf7q1SsFBQWhnDt27LC3t0cIubm5tbS0zJkzByG0ZMkSrG8Vm80ODg729fU1NDRECP3www/ins76+fn5+voihPiP+RFChw8ftrGx+e23306ePPn69WuhHj43btwoLy9PSkpSV1e3s7NjMBhMJvPBgwfp6eklJSVUKhUh9J///MfJyamkpMTIyOiT0SKEuFxuWFgY9uw/IiLCxMQkNjaW35cvMTExJSWFyWRi9/0XL16kUCiJiYki+81LjiQkJOT7779HCK1Zs0bkDWVnLjE+Dodz8ODBtWvX7tu3T09Pr7q6WnBuBux1VVVVJ0sDMgRjMEAfpKOuNNGyX2pFQ2blhwzGB1mHA7oVVDD+RVQiVDd2yYr3ygS8Il76jUVMJlNfXx97HRAQcPr0aXE5fXx8NmzYUFdXp6amFhMTs2HDhry8vM4fiMvlstkf1+lUVlY2MTFpbm7GNnV0dE6ePGlkZJSUlDRmzBhx6R3LPHfuHELo0KFDPj4+tbW1/Ie1fQfBxKQLCzcVXbi6ujqXyz179izW/ebcuXPGxsYvXrwYPXq0UE4ajYa9IJFIysrK2Gsy+ePMg4qKivPnz4+MjHz79m1GRkZcXJyVlZXII4ocGtSvX7/9+/fPnj177969/fv3F9qblpY2dOhQbHARQmjVqlUIobCwMAsLC+yeHiE0YsQIAoGQnZ2N3dZLjhYzbtw4/tFtbGwyMjL4FYyMjIzm5mbBAdwcDuf9+/ciP1FGRoaESIYNG4alf1bNWegSw15kZ2f/+OOPRUVFly5dwmpKZDKZxWLx34W95nc4BPIMxmCAvkkBj7Mz0DLSUn3HED1j5Iz/PNvsYWvZ78untQTySe66SLW1tVVVVdXW1nb/oYcaaGmpSP82V1EBP8qEIvVBmB8+fCgqKjI3N+9MZjMzM1tb2+jo6Hv37vXr12/QoEGfdayIiAiV/+rYd5xGo6mpqVV06JMjMv358+fXrl3jbwYEBDQ2NqakpHxWPL2DGt1dbarokTBfRUFBY2GQ0vDhInfq6uoihGxsbLBNIyMjNTU1cXfSfB3HEDc0NIwcOfLo0aNUKjUoKGjjxo3i3suvJwiprKxECIms6LLZbAJB+NlHx/lY8Xh8e3t7Z6LtCI/H82/oEUKampqmpqbNAng83vTp00W+V3Ik/OrBZ+l4iSUmJtrb2w8aNCgrK4vfDqOnp9fS0lJXV4dtYhcX/ykDkGcwBgP0ZdrqSs7mOrt+EH7etOuHoYl51e6HH/9yLbWma57wAlmRlxaMkpKSP//8Mzw8vLCwEPv/raysbGRk5OvrO3/+/O556qOupDDJut+Hlvb2r5vCVRAeh9NQJijgpT/HS1hYGJFInDRpUifzY72kqFSqhP5R4vj5+fn5+fE3IyIidu7c+fDhQ01NTYRQfn5+U1OTjY2NuHTBolJSUrZu3erp6Yn1ycHGivS4qUulQ0GBcuSw1q8bOIxKKZZKoBnixT87x1oGXr16NWrUKIRQbm5uU1OThYXF5x4lPj6+oKCgoqICqz+kpqZ+1tuzsrK2bdsWHh4eEBAwc+bMsWPHCu61trYODQ1taWlRUVFBCG3btu3t27dBQUHZ2dlVVVXYrAAvX75sbW0V12wiUkJCAtZFislkpqenCy7SYmtrW1xcXFxcbGxsjBB69+7d3Llzb9y4IfLMtLKy+spIOhK6xNra2nx9fYODg3fs2CGYbejQoRQKJT4+HruK4+PjBw4cyG+9AXIOFi0BoGMdY7aT6flnRRdfFMeklS8bP/Dn0aZdccsEup9cVDBev349duxYbW1tOp1uZWVFoVB4PF5dXV12dvaVK1f++uuv+/fvi5uDVbpwCGmqyMXvpKOampp3794hhJhMZkxMzIEDB0JDQ8U9Hu7Ix8dn+/btRCLx5k1JkzYkJyfHxsauXLlSVVVVXB5nZ+f58+fPnj171apVPB4vJCTE09PT2tqaQqGITEcIXbhwASE0c+ZMLy+vTZs2LV26dMmSJXV1dStXrvz222/7crcBhX79FPr167bDaWhoBAQEzJkz59ixY8rKysHBwePHjx8yZMjnlkMikbBJzMaOHfvw4cN9+/ZpampiVQIcDldYWMhiscSdQlwuNzAwcOHChf7+/qmpqfPnz09JSREcqOPt7b1+/frAwMANGzakpqYeOHBg27Zt48ePt7Kymjlz5u7du5uamoKCgnx8fEw+p5vZ4sWLjx8/jo08MTQ0dHd354/ztrW1/e6776ZMmXLkyBE2m71mzRoKhYLVLvgfh98w8pWRdOYSi42NZTAYTk5OCQkJ/ERbW1sSiTRv3rx169YNGDCgsbFx69atv/zyS+d/AwAAIG+WT7DwczTaHJX+vKB66430pMKaYz+KboEHPQxPDri4uEyaNKmpqanjLjabPX36dDc3t68/CpFIPHHixNeX00Vu375NIBDE7Z04cSL/K1NXV3d2dr527Zrg3oCAAJFv1NHRuXTpEvbaxsaGRqNxuVwejxcZGUkkEjvmP3r0KEKoqqpKcrQ5OTnu7u7a2trGxsbLli1jsViS011cXFxcXLDXaWlp33//PYVCMTQ0nDt37iePBaSLzWYvW7bMyMhIV1d39uzZNTU1HfMghJKTk7HXAQEBQUFB2OsnT56oqKhgrzdu3EilUqlU6qxZs5KSkmg0mr+/P4/HCwsLI5FIgYGBWK8hfjnYgIHMzMxDhw6ZmJhg50ZTU5O5uTm2IrWggoICd3d3EolEo9E2b96MnbTl5eW+vr46OjqGhoYLFiz48OFDJ6N98uQJgUD4559/rK2ttbS0Jk2ahLWUtrS0IIRSUlJ4PF5DQ8Ps2bP19PS0tbVnzpzJZDKxQvgfhx9/JyPBOv51/N125hLbt29fx7/Vt2/f5vF4HA5n5cqVhoaGZmZm27dvl1AIj8ej0+nR0dGS84DusXr16r1798o6CgBk6eKrko4/l1NKMxgNXB4v+s370bvj5p5LknWYQDpwPDlotNXS0jp16pSPj4/IvU+ePPHw8Pj6URkaGhoHDx7EZlICAPQdCQkJLi4ugoMu+ggPD48FCxbQ6XRZBwLQo0ePiEQiNtcZAH1Z+OuP0+hPG2r4+n1dblUjQohKVB5lTCYqy2kXEvAF5OK7tLCwiI+PF1fBiIuLs7S07OaQAAAAAGmBaWoBwEwf9u+wMUcjshFJ9XlRLZPVGpPJGGqgZUkVXvgV9FByUcFYt27dtGnTCgoKfH19ra2tyWQyDofDxmBERkZev3798uXLso4RANBTqaurd88gLgDEgWlqARBJT0NlknW/5JK6otqmV6V15Q0tI43Jqoofl2Zitbb7/plooq2+YbK1MUXS+qRA3shFBcPHxyc6Onr//v3Y8lh8OBwOW7Wt83MlAQCAEDs7u+TkZFlHAfq0M2fO6OrqhoSEyDoQAOSOkgLeyZRC01JNLq0tb2h5lF/9vaUutqutnctoaM2s+PAgq3LeOPNFLgPUlISXhQXySS4qGAghd3d3d3f32trasrIybHXqfv36GRoa9tllngEAAPQadDqdSIS+HwCIZUxWpRKV3pTVC65IRlFXurPc+eC97EtJJUfv50a8LF3zveXUYTSpry0GpE5eKhgYMplMJpNtbW0RQlwuNz8/X0NDow+u8QwAAKA3gTEYAHySqqLCKBPhx8pUDeWd3oP9HY23RL97VVy7KuLN5eSS3zxsrfU1ZRIk6CR5Wcn75s2b06ZN8/DwOHPmDELo+PHjurq6AwcO1NTU3LFjRyenumKz2a9evXopBjbTZdd+jC/S2Ng4Z84cU1NTCoUyZcqU/Px8WUf0CZMmTcL9l4aGhouLS2RkpMi9fNgStlQqFY/Hl5WVCZZWVVVFIBA0NDS+OJ7t27cLHou/gJq4dJGwyXP5mz3uS+mky5cvd/x2hFZzkwoWi9XW9nFZVhwO9/Llyy94b319PQ6Hy8rKknp4nzx0J7W2tuJwuDdv3nzlcc+fPy+4yWAwpk+fTqVSBw4cuGXLFsl/uIROXYTQ6dOnhw8frqWllZycXFNT85WxAalIT08vKCiQdRQA9FRDaFr/BI3ePXUIRV3pRUEN/eiTiy+KZR0UkEQuWjAiIiJ++OEHR0dHKpU6f/78pKSkc+fOrV271sHBISEh4bffftPX1w8MDPxkOS9evAgODha3t6Wlpa6uTqqBS4e3t3dxcfHJkyc1NTVXrVrl6en5+vVrOW+38fb23rx5M0KosrIyJibGx8cnLCxswYIF2F5PT8+tW7cK5jc1NeW/vnbt2uLFi/mbUVFR3K9bOh2bHiAoKAjbVFNTk5zeUWtr64wZM3JycvgpPfFL6QwXF5d79+7xN+vq6mbOnDl+/HipH2jChAkBAQH8U+LL3qusrPzrr79250LvXxP2F0tOTg4MDJw1axa2yeVyJ0+erK2tjS23FxQUpKCgsHHjRpHv7Xjqnjp1atWqVcePH9fR0fH29j5w4MBPP/3UHR8DSARjMAD4Mg2t7e/KG/rrqOsSlf0djSYP1jt4N/v8s6I8Jkswm+n6mwihwl3uMgoTCJOLCsauXbsWLlwYFhaGEPrzzz8XLly4a9eudevWIYQmTpzI4XCOHj3amQrGmDFjJAzl1NDQIJPJUgxbKgoLC+/evfvixQtHR0eEUHh4OI1GS05OHj16dNcdtLm5WcIqwp2hra3Nn5ZnwoQJVCr1119/nTlzJrayOIVCETdpj5OT09WrVwUrGNeuXXNycvqaZ8AFBQUeHh6urq6dTO9o3bp1DQ0N/E2ZfCndo1+/fv0EFg5funTp7Nmz5fZzqaiobNu2TdZRSOF6EefVq1cRERGnTp0STHzw4MHbt2/Ly8t1dHQQQocPHw4KClq/fj2BIOLPtdCpy+Pxdu7cuXfv3mnTpiGEBg8e3NzczGKxoPe/PJDPJnQA5Fzlh9bC2qai2iYLKnGogZamiuJmD9vV31vxZ5rCqhaCr6GaIQ/kootUVlYWfykoX19fhNC4ceP4e52dnbOzs7snkjeldQfvZe+5nSmtn72xWTfelkv4t1JbW+vg4GBnZ4dtkkgkAoHAZDKFsl29enXIkCFqamoDBw48e/YsQighIcHMzGz//v36+vokEsnT07O09OPiNZmZmdgTUDKZPHny5MLCQoQQh8PBeqqMGzcOa+fpWCYWz5w5cwwNDclksr+/f319fWd+b0uWLGGxWDExMZ/M6e3t/fjxY/4HZLFY9+7d8/b2Fpk5NDQUh8NVV1dLLrOgoMDExKSlpaWpqakz6ULu3r177do1wW5CnfxSpKCtgVcSz8uPluZP6SPU3tyZg6ekpPzzzz+7du3quKvjubFixQrBydwWLlzo6emJEMLhcFFRURYWFqqqqra2tg8ePEAIOTg4PHv2bNGiRT/++COWv7i4eMKECZqamra2tvHx8ViiyJNN8L2NjY38LlLl5eVTp07V1ta2tLTcs2dPx3s1kRkqKyv9/PyoVKqxsfGiRYsaGxuxzJ8Mu+P1Iq4okTp56hYXF9fV1Tk4OAgmZmdnGxgYYLULLKqKigrBNgq+jqduampqXl4e/4IikUhbtmyB2gUAoOfqr60+WF8Th8NlMVm3sxjVTW0IITUlBRjnLefkogXD0NAwLS1t8uTJCKG8vDyEUG5u7pgxY7C92dnZRkZG3RDG3XRG0N8vOVzpP2R6UWiy1XOQyF3Dhg1LSkrib547dw6Px48YMUIwT35+vr+//2+//ebh4fHPP//MmTPHxcUFIVRcXBwaGnr27FkNDY21a9dOmDAhLS1NQUFh8uTJgwYNiomJaWlpWbFixerVqyMiIrCigoODly9fPm7cOJFlGhsb0+l0MpkcFRWFw+E2bdrk7e19584dkY9OBWlqapqYmPB7GNfW1r57946/V0tLi0b7uLAOjUZzcHC4fv06tqR6TEyMpaXlgAEDRBY7YsSILVu2SOjahBBqb28vLS3dt28f9sjWycnpxIkTVlZW4tKF3l5dXR0YGHj+/HnB+8XOfClS0NbATf4dtTV8Oudn4pUl4IevQgpKkrOtX79+xYoVWlpaQukiz42pU6e6ubk1NDRoampyOJz/+7//O3ToEJY/ODj4zz//NDQ0XL16dWBgYH5+PtbaI9jXaOXKlX/99ZeRkdGmTZvmzp2bn5/P4/FEnmyC7+V/KRwOx9XVddCgQXFxcWlpaQsXLlRWVl6+fDk/ZpEZgoODJ06cSKFQbt261djYuHjx4oCAAMFrQULYHA4HCVwvPB5PQlEddebURQh5eXl5eXnFxsbeuXOHn2hgYMBgMD58+IANTMrIyEAIMRgMoUFEIk/dsrIyVVXVW7du7dq1q7y8XEVFRdwCpgAA0CPgcGiQniZNS/VZUU1tM/tudqW1rsZgfU28+BqG6fqb0Ighc3JRwQgMDNy8eXN5eTmZTD5+/Lijo+Mvv/xiYGBgb2+fkJCwdetWfjf6LnUqoaArahcIoYvPi9dNtJY8eTOHwzl48ODatWv37dunp6cnuCsnJ4fH4/300080Gs3Gxsbe3h67ceFyuWFhYd999x1CKCIiwsTEJDY2dsKECcHBwb6+voaGhgihH374ARtgjfHz88PaiGJjYzuWmZiYmJKSwmQysfIvXrxIoVASExM7M/8JlUrF5hdGCF2/fv369ev8XTNnzhQcw+rj43P16lWsgnHt2rWpU6eKK9PR0RHrpCTB+/fvCQQCtl5KQ0PDwoULp0yZkpqaWl5eLjJdSel/brvnzZvn7+/v4uJy8+bNjoVL+FK+Hq/yVVfULhBCqInBq8nEUYdIyJKUlPTixQuRt8giz7cxY8aQSKRbt275+fk9fPiwsbERa8FACIWEhGCDjNesWSNuOMfKlSuxE3X58uVjx45FCH3WyXbjxo3y8vKkpCR1dXU7OzsGgyHUoCQyw4MHD9LT00tKSqhUKkLoP//5j5OTU0lJCfbAojNh86+X+/fviyxKV1dX5Bs7c+qK4+bmpqenN3v27M2bNzMYjKVLlyKEWCyWUDaRpy6TyWxtbf3999+PHj1KJBInT57822+/zZo1S0EBZo6XMZimFoCvQVJVnGChm1bRkFH5IZ3xoayhZZQJhaza4wdG9mJyUcEICQlpbGw8deoUm8328fE5fPjwokWLsNsRhJC7u/svv/zSDWEQFLqqwxgej8NLbMvLzs7+8ccfi4qKLl26hD1xFzR27Fh7e3tLS0t3d3cXFxcfHx8qlYp1G+P3JevXr5+NjU1GRsbkyZPnz58fGRn59u3bjIyMuLg4wcf2/KERIsu8fv16c3Oz4JhaDofz/v37znxGJpOpr6+PvQ4ICDh9+rS4nD4+Phs2bKirq1NTU4uJidmwYQPWbNVJXC6XzWZjr5WVlU1MTJqbP/YI0tHROXnypJGRUVJS0pgxY8Sl84s6c+ZMbm5ueHi4yANJ/lKkANeVHRQ/Vfjvv//+008/ibzjEXluIIS8vLwiIyP9/PyuXLni6emJjbdCQ71wAAAgAElEQVRBCA0bNgx7IWHVGn4eFRUV7EVGRkbnT7a0tLShQ4fyj7hq1arOZAgLC7OwsMCCRwiNGDGCQCDwW0Q7Ezb/esnIyBBZlLgKhkhCp664bGpqarGxsUuXLh0zZoyxsfGWLVv8/f35h8aIO3XV1dW5XO7Zs2exDn52dnZxcXEvXryQ22E2fQdMUwvAV1LA44YaaBloqjwrrq1rZsflML0G6RNE3V3dDobLTfbkYgwGgUDYtm3b+/fvKysrjx07pqioeOLEiYyMjHPnzj1//vzGjRuf7GkgFUHfmCsRuuQXMn+cuYqi2CeIiYmJ9vb2gwYNysrKEnkjq66u/uzZs+joaFNT0yNHjgwYMODp06cds+HxeDab3dDQMHLkyKNHj1Kp1KCgIKHJZ/h3YCLL1NTUNDU1bRbA4/GmT5/+yQ/44cOHoqIic3PzT+ZECJmZmdna2kZHR9+7d69fv36DBonuPCZORESEyn917ONOo9HU1NQqKio6k56QkJCamqqiooLD4eh0ektLC3/O1k9+KV8Pp+uAVLtmfiQNYxxF0py89fX1UVFRM2bMELlX3Pk2derUmJiYpqamq1evCr5Xwr0yX8dB0p91srHZbMn99ERm6DhOA4/Ht7e3dz5s/vUiuahOknzqCrK0tLxz505DQwNWcUIIGRgYCGYQd+piFR4bGxssm6qqqrKyciefEYAuBdPUAiAVVKLyJKt+FlSigaaKAh6HRA3pnvGfZzmVwq2+oJvJRQuGSGfPnl25cqXQc7suNaa/Tmyw8/2sytb2r5o1VZACHjfIQMupv9j7yLa2Nl9f3+DgYAlrEdy/fz8lJWXFihXjx4/fs2fPiBEjrly5gvXcSEhIwJp6mExmenq6tbV1fHx8QUFBRUUFdm+Umpra+TLnzp1bXFxcXFxsbGyMEHr37t3cuXNv3LjxyXlCw8LCiESi4CBgybBeUlQqVUL/KHH8/Pz8/Pz4mxERETt37nz48KGmpiZCKD8/v6mpycbGRly6YFE7d+7EJitDCMXHxy9ZsiQ9PZ1CoXTmS5ECRTX88NU85hvElurfQWUSjjoE4SV1ibl27Zqurq64Pjwiz43Ro0ePHz8eGyzB5XKFFl74Ara2tp0/2aytrUNDQ1taWrAGkG3btr19+1awf5fIDEFBQdnZ2VVVVdiA6ZcvX7a2tnYch9MZVlZWX1+U0KkrTllZ2YIFC/744w+sxh4ZGWlnZyc0Dk3cqUsgENTV1V+9ejVq1CiEUGNjY2trq4WFxWfFCboCTFMLgLQQ8LjhNBJ/M/x16a4f/mfiyvVX3kw/8ezy/FH9qdAvUWbkt4Kxe/fugICA7qxgIITMdNTNdMy684jYVPdOTk4JCQn8RFtbWxLp34unvb19zZo1FApl7NixycnJqampWLdshNDixYuPHz9OJBLXrl1raGjo7u7+5MkTbEKnsWPHPnz4cN++fZqami0tLUJrOIgs09bW9rvvvpsyZcqRI0fYbDaWQeQNX01NDTaMm8lkxsTEHDhwIDQ0lP+495N8fHy2b99OJBJFjnzgS05Ojo2NXblypYRJQp2dnefPnz979uxVq1bxeLyQkBBPT09ra2sKhSIyHSF04cIFhNDMmTOpVCr/BMvMzMTj8f3790cIRUdHf/JLkQ6CCk5/pJTL7IS4uDjBrmJCxJ1vioqKdDr90KFDc+bM+eSSIDgcrrCwUMIEqRJONv57cf8dw+ft7b1+/frAwMANGzakpqYeOHBAaPpakRnGjx9vZWU1c+bM3bt3NzU1BQUF+fj4mJiYdCZsoVNOXFGtra0iy+nMqSuOgYFBUVHRggULtm/fnpeXt2PHjhMnTmC7PnnqIoQCAgLmzJlz7NgxZWXl169fDxkyZMgQSaNxQPeAMRgAdBun/tqJedUzTz6/PH+0MaU7usAAEXjyCiGUmZkpxQKJROKJEyekWKBU7Nu3r+OXcvv2baFse/fuNTU1VVZWNjc33717N4/He/LkCYFA+Oeff6ytrbW0tCZNmlRYWIhl3rhxI3b/MWvWrKSkJBqN5u/vj3XnSE5OllAmj8draGiYPXu2np6etrb2zJkzmUxmx5gnTpzID1VdXd3Z2fnatWuCewMCAkR+WB0dnUuXLmGvbWxsaDQatrx6ZGQkkUjsmP/o0aMIoaqqKsm/w5ycHHd3d21tbWNj42XLlrFYLMnpLi4uLi4uQoXcuHFDRUUFe93JL6XnotFohw4dkpBB5LnB4/GwCQPu37/PTxE8qVJSUvh/UsLCwkgkUmBgoFAebKUa7LW4k43/XmxkM/Z3oKCgwN3dnUQi0Wi0zZs3Y2eOIJEZysvLfX19dXR0DA0NFyxY8OHDh06G3fF6EVlUS0sLQiglJUUomE6eupjbt28TCATBlNzcXDc3NyKR6ODgcPHiRX76J09dHo/HZrOXLVtmZGSkq6trZGQUHh7emRgAAKCHuviqpOPPtD8TTdbdGLc3nt0u/M8CdA8cT16X/sHhcJmZmZaWltIqUEND4+DBg9jkRb1AQkKCi4sLf8woAN3gwoUL69atKy4uxuPlYvgWkMzDw2PBggX8VYaADKWnp6uqqpqZdWsLOQB9Qfjr0o6JnjZ6c88llze03F3urNhlU/gACeS3i9S9e/e6Z/kLAMAncTgcFot1+PDh6dOnQ+0CgM8FYzAA6DajTSjqyoTweaNkHUifJr83Cq6urt0zeVQPpa6uzp9DE4Cu9uzZMxKJVFtbu2LFClnHAkCPJLf9BQDo0aYPowmlPC2qyWB8kEkwgE9+WzCAZHZ2dlh3dgC6gZOTU1FRkZGREU784qkAAABA9xOsY+QwWS9L61LK6pvYHMHJpkA3k98WDACA/MDhcMbGxlC7AAAAIM8GUoljzLTxOFw2k/W0qIYr0HKYW8lic6S2DgGQDCoYAAAAQNei0+murq6yjgKAPsGIpOpsrk3A4wprmrKZH1eaellU63bwof+JZ41tn7dGKvgyUMEAAAAAupazs7O9vb2sowCgr9DXVBk/kGqgqaKtroylmGqrG5JUXxbVBp5JbmZzZBteXwAVDNnLycmZNGkSiUQyNDQMCgpqaGgQyvDu3TscDsfhyOB6aGxsnDNnjqmpKYVCmTJlSn5+Pn/X6dOnhw8frqWl5eXlVV5eLvLtIvMwGIzp06dTqdSBAwdu2bIFBj52s6qqqlmzZlGpVH19/YULF3740NmRcK2trTgc7s2bN597RBaL1dbWhhCqr6/H4XBZWVmfW8JnHaWj9vb20aNHNzc3//nnnyoqKkIf+caNGzgcrri4+MmTJ4sWLZJWPOfPn/+sdEFpaWmCa6XDJdMLpKenFxQUyDoKAPoQbTWlb/rrUNWVPm4SlSIWjDYkqT4vqJ53LrkF6hhdDCoYMsbhcLy8vBQUFO7evXvgwIGYmBi5mqXH29s7ISHh5MmTsbGxtbW1np6e2Mobp06dWrly5bp16yIjI9+/fz9r1qyO7xWZh8vlTp48ubq6OjY29vDhw6dPn96+fXt3f6q+LSAg4O3bt9HR0RcvXrx169aqVau6+ogTJkw4ffo0QkhZWfnXX38VuTa8FI/S0alTp9zc3FRVVX19fTkcTnR0tODe69evjxw50tjYeOzYsSkpKXl5eV8fTHJycmBgYOfTBbW2ts6YMePRo0fYJlwyvcOZM2ewdSoBALJiQFK9MGdkP02VJ7lV886/bG2H8RhdCGaR+h9cXntdawWHJ7V6LQ6H01DUUVYQO99uampqRkZGQkICiURydHTMzc09cuSItI7+lQoLC+/evfvixQtHR0eEUHh4OI1GS05OHjVq1M6dO/fu3Ttt2jSEUFhY2KZNm1gsFpFI5L+Xx+OJzPPixYu3b9+Wl5fr6OgghA4fPhwUFLR+/XoCoa+eihVvUBNTmgVqGiEdsctTtrS03L59+/Tp06NGjUIILViw4MCBA8ePH5dmAOKpqKhs27ate47F19LSsmfPnidPniCEdHR0XF1dIyIiZsyYge3lcrlRUVFr1qzBNpcsWbJp06a///77iw/36tWriIiIU6dOdTK9o3Xr1gk2Yz548AAumV6ATqcL/oUEAMiEmY56+NxRfieePs5hLriQfHymgxIBHrV3CfgX9S8Wu+Yp40pLu5TnTsbjFOx0Jhqq24jcq6WldfToURLp40xqRCIRu40QJzY2durUqeHh4Z6enjgc7vr16yEhISUlJebm5qGhoS4uLgghcemCQkNDlyxZUlVVJeFxcm1trYODg52dHbZJIpEIBAKTyUxNTc3Ly/P29sbSHR0db926JfRecXmys7MNDAz4n9HBwaGioiInJ8fa2lrCp+6dOG3oogfKuyP9ku0C0JRTSNSMTzgcDo/HKyoqYpuqqqoiV82rra0NCQm5fft2U1PT999//9dff2lpaQlmyMzMXLly5fPnz7lc7ujRo8PCwkxNTRFCV69e/e2333Jzcw0NDX/99deff/7ZwcHh5cuXL168ePTo0fHjx4lEYmZmpqWlZXl5+eLFix8+fKijoxMYGLhmzRqhKarEncYiYxM8ilD14NKlS0OHDtXX18c2/f39sY5hGhoaCKGnT59WVlb6+vpie6dNm7Zo0aLS0lIaTXhi9c5cMgih4uLiuro6BweHO3fudCZdyN27d69du7Zjx465c+diKXDJ9A7Ozs6yDgGAvq6qsS2lrH6wnub5wBHTTzx/kMVcfjnl6IxheJggsQtAve1fmbWPpV67QAhxeZzU6ntcnuiWODMzM6zbd3R09M6dO3fs2LFhwwZxRT158sTX1/fEiROenp5YSnBw8JEjR5KSkoyNjQW7XohL5xsxYsSWLVskL2U4bNiwpKQk/s3ouXPn8Hj8iBEjysrKVFVVb926ZWNjQyaTvby8SkpKhN4rLo+BgQGDweB3gs/IyEAIMRgMCWH0WqnhXVK7QAilnEFFD0XuUVZWnjZt2sGDBzMzM9+8eXPs2LGO3dt4PB6dTmcwGFFRUXFxcSwWy9vbu739f6bdmDx5MoFAiImJiYyMrKioWL16NUIoPz/f39/f39//+fPnM2bMmDNnTlFREdbkFRYWJnjfz+FwXF1dCQRCXFzcxo0bt2/f/scff3SMtuNpLC42kUfB3LlzZ8yYMfxNb29vHo9348YNbDMyMtLR0dHExATbVFRUdHBwiIuL6xhMZy4ZhJCXl9exY8eWLVvWyXRB1dXVgYGBZ86c4T9xQHDJ9BYwBgMAmatrZjNZrQ/yqtSUFc/PGaGpohiTVp5RDkvydQlowfhXC4fVRSWzua0cHhuPU5aQJyIiIiEhQUlJiUKhiMyQnJzs7u6+fft2fu8OhFBISAg2GHTNmjXjx4//ZDqfo6Mj1vGpMzgczsGDB9euXbtv3z49PT0mk9na2vr7778fPXqUSCSuXbuWTqe/evVKQUGB/xZxedzc3PT09GbPnr1582YGg7F06VKEEIvVVb95ufahTCaF79+/38rKCnv+bWJismXLFqEMiYmJKSkpTCYTu5m+ePEihUJJTEwcOXIkloHNZgcHB/v6+hoaGiKEfvjhB6xzeU5ODo/H++mnn2g0mo2Njb29vbjb8Rs3bpSXlyclJamrq9vZ2TEYDCZTRD+xjqexuNgkPB5+8+bNjz/+yN/U0tKaOHFiRETE9OnTEULXr1+fN2+eYH5LS8uUlJSff/5ZqJzPumS+zLx58/z9/V1cXG7evMlPhEumdzhz5oyurm5ISIisAwGg7xqgo85qa89gfEgorLY3JF1d6PSyqNZGX1PWcfVOUMH4l4G6VW1rl9zz6aqaKeIl1S4QQufOnUMIHTp0yMfHp7a2lt9uwEen0xUVFQXncUIIDRs2DHshVC0Rly4Zl8vFxnAjhJSVPwacnZ39448/FhUVXbp0CRtQoa6uzuVyz549i/WeOnfunLGx8YsXL0aPHs0vSkKe2NjYpUuXjhkzxtjYeMuWLf7+/lQqtfNB9h5WXujhb6i9Vfolq1KQ+QSRe+rq6kaPHj137tz169e3tbWtXbt2zJgxL1++FOzQn5GR0dzcLNgRiMPhvH//nr+pqKg4f/78yMjIt2/fZmRkxMXFWVlZIYTGjh1rb29vaWnp7u7u4uLi4+Mj7ptNS0sbOnSouro6tiluoHnH0/iTsXXEYDCErgJ/f//Zs2ezWKzi4uKcnBx+/yiMtrZ2Tk6OhAIFibxkvsyZM2dyc3PDw8OF0tXU1OCS6R1g+i8AZM7OQEtVUeFVad2r93U2/TT8HY1kHVGvBRWMf5lrDlfAERhNuVwkxcnLcFpKugO1Rovb/fz587KyMv5YhYCAgBUrVqSkpHR8Vrpz504KheLv7z9v3rxBgwZhieLuab7sXiciIsLf3x97jfU1T0xM/O6776ZNm3bnzh0ymYzt0tXVRQjZ2HwcVWJkZKSmpiZ0kychj6WlJb8bemZmJkLIwMDgC6Lt8ajW6Kc49OIIaqqWZrEaBmjMaqQu+gYUG7qwb98+bMDDX3/9pampmZCQ8M033/DzaGpqmpqaClVlEUKtrR/rQg0NDWPHjtXQ0PDx8fnmm2+cnJwiIiIQQurq6s+ePXvw4MHt27ePHDmydu3aO3fuCFY7+dhsdmfGKHc8jcXFJoGamlpLS4tgioeHBx6Pv3HjRn5+voODg5mZmdDH/GQ/KL6Ol0znAxOSkJCQmpqqoqLCT8HhcNu3b9+wYQNcMgAAIC2WVKKyAv55cW0640NLO3eEERmGYHQFqGD8DxONoSYaQ7vziCkpKVu3bvX09MT6F5WWliKERN6mBAYGKigofPPNN8uWLYuPj++KYPz8/Pz8/PibbW1tvr6+wcHBO3bsEMyGPXt+9eoVNhNRbm5uU1OThYVFZ/KUlZUtWLDgjz/+MDc3RwhFRkba2dkZGfXVRwjGY5DxmE9nkx7siXt7ezvWRMZms7lcrtCDVVtb2+Li4uLiYmNjY4TQu3fv5s6de+PGDf4cOPHx8QUFBRUVFVgTRGpqKpZ+//79lJSUFStWjB8/fs+ePSNGjLhy5YrICoa1tXVoaGhLSwt2P71t27a3b99itRTJxMUm4c6eRqMJjVhQV1f38PCIiIgoKSkRar5ACFVUVGAD1jtD6JL5Gjt37ly3bh32Oj4+fsmSJenp6RQKBS4ZAACQLlOKmqICPqGwOr+6kc3hOplSYJy31MEgbxnz8vJqb29funRpenp6YmLi3Llzv/32W6FHqoIOHz78+PHjztyKSZacnLxjx47m5mYJeWJjYxkMhpOTU4KAuro6DQ2NgICAOXPmPHr06Pnz5zNnzhw/fvyQIUMQQhcuXLhw4QJCSFweAwODoqKiBQsWPH/+/OLFizt27Fi7du1XfhbQeZMmTVJTU/v555/fvn2bnJw8ffp0a2troTqAra3td999N2XKlCdPnty/fz8gIEBTU1PwDp5EIrFYrJiYmPLy8kuXLu3bt6+2tralpaW9vX3NmjVnz57Ny8u7cuVKamoq1scJh8MVFhYKDhvw9vbW0NAIDAx89+7dpUuXDhw4INiEIoGE2DoeBTNu3Ljk5GShRH9//5s3byYnJ3esYLx8+VJkMJ25ZL4A/5KhUqn9/8vAwACPx/fv359MJsMl0zvQ6XRXV1dZRwEA+MhQS+Xb/jpKCviSuub39S0IITaHu+JKyn+efEYLOZCE12cQicQTJ07IOgoRsFV7KRSKoaHh3Llzq6qqOmZACLW3t2Oby5cvNzIyamxsRAglJydjiSkpKfxvU1y6oKNHjyKEOh5L0L59+zqeMLdv3+bxeGw2e9myZUZGRrq6urNnz66pqcHe4uLi4uLigr0Wlyc3N9fNzY1IJDo4OFy8ePEzf1vga2VlZXl6empra+vq6s6YMaO0tLRjnoaGhtmzZ+vp6Wlra8+cOZPJZPJ4PKyjUUpKCo/H27hxI5VKpVKps2bNSkpKotFo/v7+PB5v7969pqamysrK5ubmu3fvxkoLCwsjkUiBgYHY3X9mZiaPxysoKHB3dyeRSDQabfPmzVhDiiBxp7HI2ASPIlTO8+fPbW1thRJbWlq0tLTs7e2F0ouLiw0MDFpaWjr+TjpzyfDdvn2bQCB0Jl3wkuG7ceOGiooKf/OLLxk6nR4dHd35/AAA0KfUN7ellte3tXN5PB7zQ0v/DTdN1t34Iy5b1nH1Bjhenxl2pqGhcfDgQf7s8gCAPsLT03PZsmVubm6fzLlmzRpTU1Ns5uhewMPDY8GCBXQ6XdaBAJSenq6qqiqhdRoAIHO30iqWhr9q5/LWfG+5yGWArMPp2aCLFACgl9uxY8ehQ4c+mY3FYt27d09o1loApOLMmTPYbM4AALk1aZDeIb9hCnjc3tisvx5BX6mvAoO8AQC93ODBgydNmtTU1CR5eqi8vLy9e/d2nCEagK9Hp9P50yQAAOQWfYh+C5uz5urb3bczdt3K4KcX7nKXYVQ9EbRgAAB6v8WLF39y8tmhQ4d2phsVAF/A2dnZ3t5e1lEAAD4htbwBEXBrJlkKDSAwXX9TzDuAaFDBAAAAALpWenp6QUGBrKMAAHyCAh7H5vJIGl+1cCpAUMEAAAAAuhqMwQCgR7DppzHUQGvd5Tcdd0EjxmeBCoYcwear7Zj+7t07HA7H4UhxfXGxWltbcTjcmzfCl5aZmdmePXsEs7m5uVlYWGBLmOnr/3979x0WxdX+DfwsLGXpVaRIsyCWVzSA2FCCxhARUTFYE0WNGrui0cQaBY0YNSoaNcQaIUGvGEEfLGgsEBWMCA9FQUFEikAo0ll23z/m92w2wA4rHtiBfD+Xf7DnnDncu849OzfTTPv16ycUCqUXEQgEly5darG3FSorK+fOnWttbW1gYDBhwgTJc53T09M9PDz09PTMzc0XLlxYXl4u/7Ky2jufgoKCadOmGRsb9+zZc8uWLfLfR07WutGiioqKuro6QkhZWRmPx3vy5MnbzvBWv6UpoVA4ZMgQ5hEWAwcOXL9+vXRvcXExj8eLjo6+e/cuxftHnT59WvplUVHRrFmzjI2NTU1NFy1a9ObNm6aLyBqzfft2nhR7e3taQUJ7+vfcsxGgQ+tjon1jzShFR9HhocDgitra2unTp9++fVvRgbRMKBT6+vpmZGRER0ebmJgwjcnJySw36mHvfVsTJ06MiYkJCQm5cuVKSUmJl5dXfX19Q0ODt7e3srLytWvX9uzZc/ny5ZUrV8q5LEt7JyMSiT766KPi4uIrV67s37//+PHj27dvb+tfOmbMmOPHjxNC1NTUNmzYwPLUbSq/pakff/xx9OjRAoGAfYbhw4cnJCQ8e/bs3YOJj4/38/OTbpk9e3ZiYmJERMTZs2f/85//rF69uulSssZkZmb6+Phc/58ff/zx3SMEAABZbA00mzbu+HhA+0fSceEuUlyxbt26Zv/i/i6qq6tb3Kl6W2Kx2M/P78GDB7dv3+7WrZuk3c3NbcuWLVOnTrWwsGi6FHvvW8nKyrp27dqDBw+cnJwIIaGhoRYWFvHx8QKBIDU1NSYmRk9Pz8nJKSMj48CBA3Iua2pq2mx7o0dcdwK///57YmJiXl6ekZERIWT//v0LFy5cv349n98emwJ1dfVt27a1wy+SVlNT880339y9e1eewUuWLNm0adNPP/3U6l/3559/hoeHN6oBampqoqKijh8/7uLiQghZsGDBnj17jh49KueYzMzM8ePH4znQAADtI/RRzo6PB6z/5e8j9qgu3hYKjL9VCat2/PH179k3qoXVtObkK/HtDftsHLrVVo/tiS3Xrl379ddfAwICWnwO4JUrVyZNmhQaGurl5VVSUuLv7x8VFVVVVTV27NgjR47o6uo2NDTw+fz4+PgVK1bY29sfPXqUx+P99ttv/v7+L1++tLW1DQ4OHjVqFCGk2cVbfEdLly69fPnyrVu3evT4xzuaM2dObW3tihUrzp0713Qp9l6J4ODgJUuWFBUVsfyRu6SkxNHR0cHBgXmpp6fH5/MLCwv79+9/8OBBPT09pl1LS4vZh5ZnWXV19Wbb2T4IGgqe/5X3rLi+RtjyULmpaaiY9zY2NG/+v/Lp06dmZmaST8bR0TE/Pz89Pb3RWTctrhtpaWmrVq26f/++SCQaMmTIoUOHrK2tCSHnz5/funVrRkaGubn5hg0bPv30U0dHx4cPHzIV6dGjR7W0tNLS0uzs7PLy8hYvXnzr1i0jIyM/P7+1a9fyeDzpX/FW6630b2lUHoSFhQ0YMMDU1FSeT2/KlCmff/55Tk5O00pYnpWTEJKdnV1aWuro6Hj16lXp96KkpCS5Aa5AIFBSanz0mGVMZmamlZVVTU2NSCRq8V5YwE24TS1ABzJtoAVTYzRqjH9Rcuj3jCVuPQZZ6isqto4Cp0j97fCfB/7z/BLF6oIQIhQJkwoT1/6+Skxknn1bXFzs5+d34sQJyc6xLHfv3vXx8Tl27JiXl5dYLPb09CwoKLh48WJ0dHRFRcXEiRMl1zksX758+fLlkr8WL1++/MCBA3FxcZaWlsyZG+yLy/LVV18FBwfv37+/b9++jbqUlJQOHTp04cKFqKiopguy90o4Oztv2bKFfRdq4MCBcXFxkv2wU6dOKSkpOTs729jYMCfQR0REBAYGBgQEfPXVV3IuK6udJYx3V15UmZ1cQLe6IITUVtVnPsqtqWj+agQzM7OCggLJyf2pqamEEOZCGgl51o2PPvqIz+dfvnz5woUL+fn5a9asIYQ8f/586tSpU6dOvX///vTp0+fOnfvixYv4+HgXF5dDhw5J7/c3NDS4u7vz+fzo6OiNGzdu3779u+++axqt/Otts7+FcfXq1WHDhkm3FBYWJkthPgSGioqKo6NjdHR002DkWTkJId7e3ocPH162bJl0o5qa2pQpU/bu3ZuWlvb48ePDhw/PmjWr0YKyxgiFwpycnKCgIE1NTW1t7REjRqSlpbHHAByE29QCdAIPX5TcSHs97di9yMRcRcfCdXoV6vwAACAASURBVDiC8bfEwre+elVOWWWZb+re6KjqNNs7f/78qVOnjho1iv2i5/j4+HHjxm3fvn369OmEkNjY2ISEhMLCQmaP5+zZswYGBrGxscy+lK+vr4+Pj2RZf39/5vLxtWvXvv/++yyLDx48WFYAJ06cKCkpGT58+O7duz/++OOmJ9UMGDBg6dKlS5cuTUpKUldXf6tehpOTE3OSkjwaGhr27t37xRdfBAUFde3aVdIeHh4eExOjqqpqYGDwtsvKam8LFSU0S1lpYjGpLK1W11Jt2jV69OiuXbvOmTNn8+bNBQUFS5cuJYRUVFRIj2lx3aivr1++fLmPj4+5uTkh5OOPP2Zuj5Oeni4Wiz/55BMLC4s+ffoMGjRI1u54ZGRkXl5eXFycpqamg4NDQUFBs8eL5F9vXV1dZX0ajx8/njFjhnRLSEhISEiIrPF2dnYJCQmffvppo/a3Wjmb+vbbb3v37s0cKbKystqyZYucY169esXn893c3CIiIsrLyxctWjRhwoSkpCRV1Wb+f4GzUlJSBAKBjY2NogMBALkwBzGkXxJC5g23ySurPhGbtTTsUcbriuXuvf556B3+hiMYf+tj2Piv8rR007bUVtVutuvEiRMZGRnyXGjr6empoqIiubtRampqdXW1oaGhQCAQCAQmJiYNDQ2vXr1iegcM+MdxvYEDBzI/SPa52Rdv1uvXr69du/bTTz9lZGTs3Lmz2TFbt26trKyUvt+U/L2yiESi2v+RND59+tTFxWXXrl1hYWGrVq2SHn/q1Klnz575+/tPnjy52Qu1ZS3LMmdb0NRtvsqigEc0ZEyuoaFx5cqV8vLyYcOGrVixgtmFNTY2lh7T4rqhoqLy2Wef3b59e/369d7e3gEBAUz78OHDBw0aZGdn9/HHHx85csTFxaXRzBL//e9/BwwYoKn5f1fRrV69WjKJNCrrbUFBQaNSc926dWIpRUVF0r2Ghob5+fksE0prduVsqrS0dMiQIfPmzSsqKsrNzXV1dR02bFijg0KyxlhZWVVXVwcGBhoZGdna2oaEhDx9+jQuLk7OCIEjcJtagA5n2kALyT+mRVmJt2V838CJ/ZV5vH3R6UvDHtUKRYoNkrNQYPxt8aDlbpbufCXKR3V6GdjtHLWbR5ovcmNiYpi/6PN4PE9Pz5qaGh6P1+zOVmBg4JEjRw4dOvTf//6XEKKjo2NtbV0tRSwWT5s2jRks2XVjqKk1fmQM++LNWrVqVf/+/S0tLXft2rVt2zYmjKbT7tmzZ+fOnc3eioe9V5bw8HD1/ykuLiaExMbGDho0qF+/fk+ePJkyZQoz7P79+7/++qtkqdmzZ1dWViYkJDSardllWdrbjm4XLfPexsoqynSnVVHjW/8/U4HshwTZ2dldvXq1vLyc2csnhJiZmUkPaHHdKC8vHzx48MGDB42NjRcuXLhx40amXVNT8969exEREdbW1gcOHOjRo8cff/zRbAz19fXyXFZOZb3V0NCoqalp8XdJ1NbWyn+dQ9OVs1nMFSNBQUGGhoampqZHjhxJSUmJiYl52zGEEAsLCw0NDflLIOAIT09P5igcAHR0ngPMVo6101TlRybmTv/h3l+VzZ+T/C+HU6T+pqWqFeRG7VaqcgoMDFy3bh3z840bN5YsWZKSktLsuT1+fn7KysojR45ctmzZjRs3+vbtm52dnZ2dbWlpSQhJTk6eN29eZGRkixdyMGQtznIZomSPcMGCBT///PPs2bPv3bvXdDdx6tSpx44dW7JkSbM3fWfvbZavr6+vr6/kZV1dnY+Pz/LlyxuVYQkJCV9//bWXl5eysjIhJCcnhxDS6HpcWcvKam9rZj2NzHo2vhK9TeXm5i5YsOC7776ztbUlhFy4cMHBwUH6bmBEjnXjxo0bmZmZ+fn5TB2blJTEtN+8eTMhIWHlypXvv//+N9984+zs/MsvvzR7Jy57e/vg4OCamhrmZLlt27YlJiaGh4e3GL+s2FguvLawsGh0kQm7/Px85oJ1eTRaOWURiUT19fVCoZC5zqe+vl4kEjVKAVljwsPDAwMDb926paOjQwh5/vx5VVVVnz595H9HwAUsZ/EBQMfyV2Wdgbba3FG2Z2NfPHxRMun72J/mDjbXo3zTzo4ORzAUzNjYuPv/mJmZKSkpde/eXV9f5t0J9u/ff+fOnfDw8L59+37wwQcTJky4e/fuzZs3Z8+eraOjI/8TBt5lcR6P98MPP6SmpgYFBTU7IDg4+MaNG7JOGmHpjY+PDwgIYB6IJsuVK1cKCgqGDh0aI6W0tNTb21soFC5dujQlJSU2NnbevHlubm7MGc9nzpw5c+YMy7Ky2uX5NDoWMzOzFy9eLFiw4P79+2fPng0ICPjiiy8ajWlx3dDT06uoqLh8+XJeXl5YWFhQUFBJSUlNTY1QKFy7du3JkyefPXv2yy+/JCUlMec48Xi8rKws6Ss9Jk6cqK2t7efnl5ycHBYWtmfPnpEjR8oTP0tsTX8LY8SIEfHx8fJ/RA8fPmw2GHlWTlk8PDw0NDQ+/fTTxMTE+Pj4adOm2dvbM6WXZOWUNcbV1TUrK2vOnDmxsbExMTEzZszw8vLCs/Y6nJSUlMzMTEVHAQAUWBtoDDDTNdMTzHPrbm2omVVUeSkpT9FBcY/4X0NLS+vYsWOKjoJNZGSkurp603bmZCShUMi8XLFiRbdu3SorK8vLy+fMmdO1a1dDQ8OZM2cWFhaKxWLmxO74+HjJ4tIvmVOGmJ+bXZw5mSQhIaFRDNbW1jt37pRu2bt3r5qaWnJyslgs7tq165kzZ6R7v/zyS0JIZGRki73SDh48SAgpKipi+ZSarWqioqKYD2rs2LEGBgbm5ubMuezMIqNGjRo1ahTLsixzdj4ZGRmjR4/W0tJydHQ8e/Zss2NaXDc2btxobGxsbGw8a9asuLg4CwuLqVOnisXiXbt2WVtbq6mp2draSlaYQ4cO6enp+fn5MXv/aWlpYrE4MzNz3Lhxenp6FhYWmzdvZv5aL+2t1lvp39Jonvv37/ft21fy0sHBodlrMK5fvy4Wi7Ozs83MzGpqapp+JvKsnBJRUVF8Pl+65cmTJ15eXoaGhl26dJk+fXpOTg7TLlk5Wcakp6ePGzfO0NDQ0tJy2bJlFRUV8sQgFos9PT0jIiLkHAxtas2aNUFBQYqOAgCoyS2rPvf41YkHLzZHJueVVSk6HM7hieU+U6Wj09bW3rt3b4sPmgCATsbLy2vZsmWjR49uceTatWutra2Z+x13AuPHj1+wYIGnp6eiAwGydu1aY2Nj5obOANA5vKkV3s0sLq2uV1HiuVgZWOAsKSmcO0Wqrq6uqKiopKRE0YEAQCcREBCwb1/Ll1dVVFRcv359/vz57RASAAB0dNpq/DG9uljqCepF4ruZxemFjc/R/TfjSoHx8uXLr776ytbWVl1d3djY2MDAQF1dvWfPnuvXr8d5qwDwLvr37+/h4VFVVcU+7NmzZ7t27ZI8bxEAAIAdX4k3zMbQwUyX8Ejem1pCiFAkjnicW1L1b7+1FCfuIvXo0aPhw4cbGhp6enr27t3bwMBALBaXlpY+ffr0l19+OXLkyM2bNxs92AEAQH6LFy9ucQw2MtB2PD09We7RBwAdmr2JtqW+QI2vTAi5mpK/NOxRN32N47OdenT592Y9JwqMVatWjRw58vz58wJB49PX9u7d+8knn/j7+1+7dk0hsQEAALwj3KYWoHPTVP2/Peph3Y0GdNN7/LJ00uHYQzMGDe/Rrjej5w5OnCL1559/zp07t2l1QQjh8/mff/75W91lEgAAgFNwm1qAfwldgUr4Z0MmOJiV19TPPv7g9L0Xio5IMThRYPTq1evGjRuyeqOjo+3s7Noznna2fft2npQW73BfXFzM4/FevHhRVlbG4/GePHkia0Dr4qmsrJw7d661tbWBgcGECROeP39OCPn55595TTR9LF16erqHh4eenp65ufnChQvLy8tb9x4BADqTEydOnD9/XtFRAEB7UOUr7ft44LTBlkKReONv/90akSz619yyVYITp0itW7duypQpmZmZPj4+9vb2+vr6PB6PuQbjwoULv/32288//6zoGNsQ88YXLlzIvNTQ0JBzQTU1tQ0bNsj/cD05TZw4MTs7OyQkREdHZ/Xq1V5eXo8ePRo1atT169clY0pLS2fOnPn+++9LL9jQ0ODt7W1jY3Pt2rXnz5+vWbOmvr4+JCSEvMN7BADoBHANBsC/Co9HXHt3qReLf43POR6blVtWs8/XQaCirOi42g8nCozJkydHRER8++23c+fOlW7n8Xhubm4REREeHh6Kiq0dZGZmjh8/3t3d/W0XVFdX37ZtG91gsrKyrl279uDBAycnJ0JIaGiohYVFfHz8kCFDTExMJMOWLl06Z84c5lHEEklJSampqTExMXp6ek5OThkZGQcOHGC6Wv0eAQA6AVyDAfBvM6q7kbIST19D9Uxs1pXk/B3/Sf3aq5+ig2o/nCgwCCHjxo0bN25cSUlJbm5uXl4eIcTExMTc3NzAwKA9wxBnpIuyswnVI1k8fX2l/zeA8GV+1JmZmVZWVjU1NSKRSNaf9lNTUxcvXvzw4cOePXt+9dVXTGNlZaWWllZaWpqdnV2zAxoJDg5esmRJUVERy0GPkpISR0dHBwcH5qWenh6fzy8sLJQek5CQcO7cubS0tEbL6urqHjx4UE9Pj3mppaVlZGQk/3sEAOisUlJSBAKBjY2NogMBgHYiUFEe3dNYT11FR13lclJuF111kVisxOMpOq52wpUCg6Gvr6+pqWliYqKsrKyvr9/Ov12UkiKKuUt9WjEh4qJi5Q8+aLZXKBTm5OQEBQVNmTKFEDJ06NBjx4717t1besybN29Gjhw5bNiw69evZ2dnL1q0qNEkLQ5gODs7b9myhX3/fuDAgXFxcZKXp06dUlJScnZ2lh6zfv36lStX6urqNlrWxsaGeQRyREREUlLSvn37vvvuOznfIwBAJ3bixIkuXbr4+/srOhAAaD9KPJ6zpb6BhipTXdzMKBpmY9B7Y5RkQNaOcQoMr01x4iJvwo0H7Ykz0ttq5hdZpK75R668evWKz+e7ubkVFBSkp6draGhMmDCh7p+DT58+zePxQkNDnZycJk+evHnz5kaTtDiA4eTktHnz5mbv1tVUQ0PD7t27lyxZsmPHjq5du0ra4+LiHjx4wBQSsoSHh4eEhKiqqjIHoOR5jwAAnZv433eVJwAQQnoYab7f01igovy6ola6uiCEWK+/pKio2honjmBw5UF78u15t4aqqqxTpKysrKqrq5mfjYyMQkJCunXrFhcXN2zYMMmY1NTUIUOGqKurMy/d3NwaTdLiABYikai+vp75WU1Njfnh6dOnM2bMePHiRVhYGHPYQWL37t2ffPIJ+9WKp06dIoTs27dv8uTJJSUl8rxHAAAAgE7JWFN1rF0X+01RLQ/tLDhRYHDkQXtK7zk2FBSQ/+0K05tXScnFhSjJdbDIwsJCQ0MjPz9fulFZWZknddKepJCQfwCL8PDwqVOnMj8zl2fExsZ+8MEHU6ZMuXr1aqMT1crKyi5evHj79u1mp7p//35ubu7EiROZl7Nnz165cmVCQgJzvTj7ewQAAADorGTdQsp6/aVOeaIUJwqMP//888cff2R50N748ePbIQyegQHfd6q4oEDW6UytoazMMzIkmjL/3h8eHh4YGHjr1i0dHR1CyPPnz6uqqvr06SM9pnfv3mFhYTU1NUzlEBMT02iSFgew8PX19fX1lbysq6vz8fFZvnx502dcEEJ+/fXXLl26NCoYJBISEr7++msvLy9lZWVCSE5ODiHE0NBQnvcIANCJ4Ta1ALDj4wHrf3nctFEhwbQ1TlyDwaEH7amo8CwseLa21P5ZWbFUF4QQV1fXrKysOXPmxMbGxsTEzJgxw8vLq9Fz6GbOnCkSiWbNmpWQkHDp0qVNmzbx/3nCVYsDGPHx8QEBAdWsh2iuXLlSUFAwdOjQGCmlpaVMb3R0dNPzms6cOXPmzBlCiLe3t1AoXLp0aUpKSmxs7Lx589zc3GxsbOR5jwAAnZirq+ugQYMUHQUAKNK0gRZyNnYCnDiCQetBezU1NcnJybJ6RSIRB6+xMzExiYuLW7FihZeXl6ampre3d2BgYKMxWlpat27dWrx48ciRI21tbX/44YdJkya91QDG/fv3N2zYsHDhQpbrvJ88eSISiTw9PaUbo6Kixo4dSwj5/fffm94FhXmU3syZM01MTG7cuLF69eoRI0YIBAIPD4+dO3fyeDx53iMAQCeG29QCAGlyEKOzHr4ghPA4ss996dKlb7/99ubNm9KNzIP2/P395XzQ3h9//LF06VJZvUlJSYcPH/bz83vXWAEAOoLx48cvWLCg0d8LQCHWrl2L29QCACEk9FGO5OfOeviCcOQIBqH0oL0hQ4bEx8ez9OK8fwAAaH+4BgMAGJ24qJDGlQKDoa+vr6+v37dvX0UHAgAAQI2rq6uiQwAAaD+cuMgbAACgE0tJSWm3h8YCACgcCgwAAIC2deLEifPnzys6CgCAdsKJU6QuXrx4584d9jFBQUHtEwwAAAB1HLmlCgBAO+BEgaGhoXH79u0HDx6oq6tbWDR/7QsKDAAAAAAA7uNEgTF69Gg3Nzc3NzexWNzioQwAAAAAAOAsrlyDoays7Ovrq+goAAAA6PP09HR3d1d0FAAA7YQTRzAYEyZMsLW1VXQUAAAAlOE2tQDwr8KhAsPCwkLWBRgAAAAdV0pKikAgsLGxUXQgAADtgUMFRiPr169ftWqVsbExxTl/++23xMREihM2JRKJzp8/37VrV+rTFhQUmJqa0p1WKBQWFxebmJjQnba2tvbNmzdGRkZ0p62qqqqtrdXX16c77Zs3b8RisY6ODt1pS0tLVVRUNDU16U5bXFysqamprq5Od9rXr1/r6+urqKjQnTY/P9/Y2FhZWZnutLm5uaampjwej+60r169Mjc3pztnG00rFovz8/Nb3CA8evQoKioqNzdXzmnr6uoyMzPt7OzeOcB/qKqqysvL6969O91py8rKysvLu3XrRnfaoqKi+vp66hvbkydP6ujoTJw4ke602dnZurq6urq6dKd99uyZqamphoYG3WmfPHlia2tLfTuTnJxsb2+vpET5lO+kpKT+/fvTnbONphWJRKmpqdQfUlxfX//s2bPevXvTnba6uvrVq1c9evSgO215eXlJSYmVlRXdaYuLi2tra83MzOhOm5+fP2LECDc3N7rTcgqPszfO4/F4aWlpFL/qfvjhh7i4OFqzyVJVVRUWFtazZ0+609bW1r569Yr6KWRVVVWFhYXUE/LNmzdlZWXUj0eVlpbW1NRQL96KiorEYjHdUpYQUlBQoKKiYmBgQHfaV69eaWtrUy+HsrOzDQ0NqZdDmZmZpqam1Muh9PR0GxsbPp/y30eYDQ7dukUkEqWnp1PfZa+rq3v58mWLu+w8Hm/gwIHy/7e+fv06NjbW29v7nQP8h+zs7NTU1LFjx9Kd9smTJ/n5+SNHjqQ77ePHj2tra52dnelOGx0draGhMWTIELrT/v7772ZmZr169aI7bVRUVJ8+fSwtLelOe+HChaFDh3bp0oXutKGhoZ6entra2nSnPX78+MyZM+mWQ0Kh8NSpU35+fhTnJIRUVFRcvHhx+vTpdKctKiq6ffv2pEmT6E6bk5OTmJj40Ucf0Z02IyPj5cuX1HfZk5KSKioqqGdufHy8i4tLcHAw3Wm5RcxVhJC0tDRFR/HWCgsLjYyMqE+bkpJib29Pfdpbt265urpSn/b8+fOTJk2iPu3333+/YMEC6tNu27Ztw4YN1Kddvnz5vn37qE87ffr0n376ifq0Y8aMuXr1KvVpHRwcHj16RH1ac3PznJwc6tOqqanV1NTQnbOsrExHR4funGKxOCMjo3v37tSn/eOPP1xcXKhPe/HixfHjx1OfNiQkxM/Pj/q0O3fu/OKLL6hPu2bNml27dlGfdvbs2cePH6c+7bhx4yIjI6lP6+zsfP/+ferT2tjYPH/+nPq0WlpazPFtiqqqqgQCAd05xWJxdnZ2t27dqE/78OHDQYMGUZ82Kipq7Nix1Kc9ffr0zJkzqU+7Z8+elStXUp/2yy+/DAgIoD4tp3DlLlIAAAAAANAJcLfAuH79OvWTawEAAAAAoE1x9yJv3DIcAAAAAKDD4e4RDAAAAAAA6HBQYAAAAAAAADUoMAAAAAAAgBoUGAAAAAAAQA13L/LuoPh8PvXnf3W4aVVUVDrWtA0NDdSn5fP51B9Y2xGn7UDrraqqKvWHASsrK+OD7XAbhDb6bDtW5mK9VVFRUVZWpjunk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/><!-- --></p>
<p>Factor models perform poorly here, as does difference in differences.
Most other methods have good pre-trends and broadly agree.</p>
<h4 id="references">References</h4>
<p>Susan Athey, Mohsen Bayati, Nikolay Doudchenko, Guido Imbens, and
Khashayar Khosravi. <b>Matrix Completion Methods for Causal Panel Data
Models</b> [<a href="http://arxiv.org/abs/1710.10251">link</a>]</p>
<p>Licheng Liu, Ye Wang, and Yiqing Xu. “A Practical Guide to
Counterfactual Estimators for Causal Inference with Time‐Series
Cross‐Sectional Data.” American Journal of Political Science (2022). <a href="https://arxiv.org/abs/2107.00856">link</a></p>
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