Funktioner, grafer og simple ligninger\302\251 Erik Vestergaard 2013IndledningI dette dokument vil vi kigge emnerne funktioner, deres grafer, l\303\270sning af simple ligninger samt hvordan man kan bruge grafer til at foretage (tiln\303\246rmede) afl\303\246sninger af l\303\270sningerne til ligninger. I slutningen af de fleste afsnit, vil der v\303\246re en lille opgavesektion. For en lidt dybere forst\303\245else af ligningsl\303\270sning i Maple kan du eventuelt studere min tutorial Maple 4 - Ligninger. JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=FunktionerI matematik er en funktion en anordning, der til en given x-v\303\246rdi knytter en bestemt y-v\303\246rdi. Lidt barnligt, men alligevel ret illustrativt, kan vi opfatte en funktion som en "maskine", der modtager en v\303\246rdi x, g\303\270r noget ved v\303\246rdien og afleverer en v\303\246rdi y. Man siger at funktionen sender x ind i y. Ofte siger man ogs\303\245, at funktionen afbilder x i y. Lad os kalde funktionen for f. Det er et ofte benyttet symbol. N\303\245r funktionen modtager en bestemt x-v\303\246rdi, s\303\245 afleverer den altid den samme y-v\303\246rdi! S\303\245 det kan alts\303\245 ikke forekomme, at for eksempel tallet 5 den ene gang afbildes i 17 og den anden gang afbildes i 25. Det er altid det samme tal y, som tallet x (her 5) afbildes i. Derfor er det fornuftigt at kalde y for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ==. Her kaldes x for den uafh\303\246ngige variabel og y den afh\303\246ngige variabel. TUZOV3RLVWI8b2I8Uj1NRExDZE5OWmBNO3BRPlQ6O1JYa3NnYWBEdmBjV2I9P2RtT2RBT2JaRmM/V2JwRmBzbmBwZl9sbl9rSnZsc0hVc3VMb2NgV0VYcmFxdVVwVWJEU0JkUkQ9d29cXFBjREpecGpYXW5CdUxPQG0+PEtfPFZCT15wXmJOP2g+R2RLcG5CTmBiPnY6WG49R2xrUF5EaGo7RmRrWHc+Rl0+X3RrP2hOVl1QSGNeZ29TdnV2SGlpaXNVeHVZdnh4V2dZaHFJaXVhd3d3b3R0RF5zeVpFYmpTRFBNQlpTUmJrRD89eXNFSFxcVXZcXElFUklSOlNCdkhKcD52aldwbVBiUD55QE9aU1Badj91RmBnU1hcXHJ5XFx3UHFIPl5zWXlkVnR5Xms7dXl5Rl9tV1A/U0Y8T0Ztcm1FWXZhV2hga0VgVlZwbWVsc0xYdWFgVkZVVVRwTmE9TV90VktgTztFTWVIc3NEWVBoT3hUeUZRcEFgbXNFTTxtbUZodnN0VmtRUHJNWGhZbGtxclZES1ltckI9cEZYa21dSnZhVVN0VU1IcDtNcV5UUlpUdnFMeFJhS3h0TlU+X0xgdWhudm1XZF5fZ2dWZkxAX2xOamdWdnNDcktUbHlEdl94RWtEbVl4PlF4PUVobVNoUFdjPkNzY0tWQEdDUWFkW1V2XmFyXFw9eW1ZWE1JeVxcRUhtW2M9aVNdQWNyXUNwbVZAbURBPWlWVHBhbXlmTGt2cHBGRFVLaE1mXW1WXFxNUnBwUHBQWV1MZHlxaGx5R0VzdVVRRXVPPHlRcWFLXFx4S3ZJVnVZT3lgc0A+cGBoZm9IdXR5amdHZ09SUVFZOlt0aHV5W1VIUllLP0VVWVFRQXBxcnRLV21RaURPXFxFWFBYcE9oVGhtV2hobjp4c29gbFFcXHhxZXlJdWp5SG5pbHFhRU9ZcXdxUXhqXFxxc0lTVkRTdEBtW3RvVXRQbWRRTU1OXFxdVmFFWHJgWUBUeElZUnZ5az10eXR0S0VAS3hNTFldclFMc1xcTG5fVVRgPExgVHNUaU9eSUs+UWpGRU49PU52eVNHXXlBSFZ5TXRmYVVFYVJnXXlCPFdFXU87UHRKZEtadFFJPl9kRlxcWkZbdV9mZT50aWlpRW5yQVdac2lzRUh0U0BtV1h5SVFqeGlpUT9xRm95QnFcXF52aUhYZkFfYmw+cUxGZEhhd1RgeVRPWm4+XjpmYjpXWmRBYlU+dz1WXFw6YVpwQHJLPlFZQnJBYjo9RERLRjtdRVJdQ3I/Rj9bVjpDREJpQj87Vmc7R0BjZlpVR1JJQ2RHUlc7Vz5jc1pnQ1ZrQlc9dlI7SUdrcztXU1pRSFJDQnE9Yk5bYz13RlpNQ3ZPQm07RD5DVltLSD5lYk5JRlc7c0pLSEFfV1trRF5xQnNBUjtBVD5bREFjRjxFc0o/REw/Uj87dHQ7Z05LR0FPZ1tPWWJHRXRxRHRLQ1dvYmhwaltYVUpBT25ES3dRS3dYaks8bT5UdFplT1JBS3BQalM9cGFcXE0+dFI8WWtaYVZyRU1WeEtRRHJVPXZEPXE7bFFCdFg8eW5bWVNqQUtmZGpZQHJNQUs6PWtCZE1LaVJSQEtFRFZdRG5CXVFMYGpCQGxPPVNDTFQ7YFBaZFdCdUtMeWtWZVJeQHNNXXZnTEs9UG5cXEBNYmxORGlKX3lrRFBSa0VURUFUZUBUVUhUT0FvPTxvSF1UWUx3ZExXTmRQP1B5QnBOXWhQS3F2YnVWbl9oZk5hU2ZtRXBfQHdkWlhtSmldYllwYklcXG5BYXRpXFxAVmpbWGZGSGBIQF15X2NWbl5PVnA8VnBTVnBVVnRISGE/SF1AYWtbb25rQGVmUGFQYV1lUWtHZnJsP3BcXF9na25wRFZpSlZpTFZpP1ZhSGhpPVheXFxhaGpvcHJ2ZVZfYUg/a2Veck8/dlQ/aGE+aFE/aE0+cVNecUxudUp2d0Z4Wz9ZeGpZc2tpZnJxYnZ3W3g/W3lua1lIXmJWXFxGSFtoYGpCT2JkRmZnRm5MQHRAP2FFP3FFP2k7X15MZnhCcGM+QWhcXEBqcnBqUkdjdl5idnZjVmZeeGheSz9jYF9ecEZfO2BeW2ZnW2Z3YWZtXFxmdVxcZnFaVmxDcWJed1tsX2FTX2NYUWJob15ZSF5ZeV55SGRaUF9ST18+Pl9qYVxcUFdfTkFfbk9fVkdkcm9uQnhkbl5kbmFkVl9vUnhvUkducl9iaz9ja0lvTG5lQ0FjQ2hvPklkVGduTldubl9kY3FqTGFwbGZkU3Fic15kc1Zic1dwbFdrbGlaX3liTl5fP0FrXFxZYltJZERAX3VBX2E/X11fZD5Qb0lnZk1HcU5paE5xYmRJZWRBYUdWYm1ubj8+dExHZ19gcGk/Zz1gcGNmXFxEUGtXUGNuUGNYUGNHUHNrZ1xcY2ZdW1hdS1laYkl3blFgdElmdGlodFlhT2dfT3djT29xZHFeT3FgT1lfZHhvT3F2YkhpYkh4T1FjTlF1T3FiTnF1Y1hgTmlpTll0TnlwY3hoY3h1TUFiYz9tY19qZV92ZF93S0FhZUh4bm9bZ29rRWFdaGFtTEhhQXh2VnF0PmhgR2FgXV5gUT9naFl0Vj50VnB0THF0bFl0RFF0ZFB0dFZub2FkVXBvZ0luV1Bvd1hidWFqcGFuSGZkQWljQT9ubVhiYWFuSFlmQFBbPVlsS3BzYmBmbklgYGBob2Zod2loX05xb1FxPVBxbU5pQFFpS09pP1BpZ1FpcWF4Q055ZmZ5XmZ5V055d1B5TW9adG5aW25aP25aZ3BacWhba3FqZlZyTlZyV29qd3FqaWhrRmhrXFxfa3A+XW9HXXdOYFBXYEg+YEh5YGhnYHhYZzxvYGt3YFNvZkxBZmxnc05WZkRRYEdXYFdpZ3RHdUZuYG14YEVHYGVIYFVOYEFoc1decz9udnVoc0FoX0pxXFxIb1xcPFdrQFZrVV5jTFZ0TUhtPWFnX29rVE90Z1ZqZ1ZbZ1ZxZnZtU0ddUmdyVWdnbVB3cVB5YmdnaWdtaGd1YmdpQXFqXFxXXFxiV2RiV3RdV3hlaG9TaF9RcXBAcXhUYWVsYWVZSXFleHZwd3N3b2dhb2dBeXBVWWZxV3RYUGdZTmZ5SHJ4eHR4WWo9WG49QHNbaHNbT3RLQXJrRnRrcHRrcVpFcHJEVmZnb2ZXeGg8V2FzR2FncGh0bnZucXRTSXJTX3d2P3VzeVxcUW5uRU9tRVdrRVluc29ybUF5bVFdYWlrc1B3c1BoVld3V2duaF9bcWBicWhxaE9kcWdlcW9rdVdqdVlaSWZpSW5tQVdsQWFqYUhvYU9vYUliSXlmWG90WE9eaXBbaXh0ZndmcFFjcElfaV9yVXlzdWBydT90QVB2TWZ2TWd3bXd1UXdzcUZ1cWh0cU9zSXF1aWdqWUlfeV9weT9seXFgeVldO05lO151OnB2OkhvOndyOmlsO2hpO19uWmhaO2d0O3dbPGhzPGhiO2lhWz5oQj9mQnF4SlhxbWlbYVlbYXloP1BqSkFqSml3W3h4PGFrPXFsP2hpWW5rQ3ZbRXZvQ3ZpUkZmTUZkSkZ0eUBqdEBmQ1FqUGhaaVBed1BeRVFeaWFiU2BiQ09udFduT1ZuTU5uVVhuWXdycndyTnhyQldmZ1BmUW9yWE9rTUFrTV5yb3dyXVd2XXRgP3ljaWJ4U0NxbUdWc1Nqd1Nia1Nyb2lCQVlLbXVcXFdDRWdIUHNmaWtJeF9Sa0VDYUVzS19Sbk1WRk1WRU12dW1TYnNmO1dId19IWkVXZ1F0Y2tHVVdpRVd5Pnd2O1l1O1llXllpbFlzc1lEQ21nQ2V2Q3VjTGdVTXdoYXNTYD9pYV9UXl9JTztoP2N0PHd2Y295Y2dYY3dnTVFSTXF4YWdZRHVjQ3VXSUFyX11GYF1FT0tUPkdXPHFpRmV3RmFpRkl2ZlN4Zk92ZkN3bHN2X1VJUWdTQ09iPmVTU0FUcFFmZnFXa2NTcFlIbztGa0NkZndkRm92cmd2TmF2dkdzR29zd0tkYV9lYVtzVTtVaG1odlV0bEljdnV1dnlnUT1mUD1YUV14UDt3UFtnZztFV0V3c09oeGVEbk9XY1FnWGl0dFlnRW9USXdna1lVbT1WZ0NWZ011VHlFRGNnRVNzRXNVaFdjU3V0TV1mT11oYD9XZmVpWVF5UFFWP09WS0V4R2dDaFNFZHFIXFxvSERrSEhrV1RXaWNPV015ckxrVUNpckxVd0xRY0x5eFVHaVV3R3hlVm1pVF95VFlvaF5jV1NbR209R1VZaE9TaE89aW9ReXBzeGd1QkRpZEVZeEV5cnB3YmZ1d1ZJclJJVGxXdl9xc19TSWlbVFJpVE5pd1xcW3dMX3dMb1RAc1RwdVRTW1RnZWd0dVVXT1R3S1RdaVRNcVVlR1V1R2dwaXhobXVoWUd1XUlwYWhPSVdPaWRQaWlVWUdSWVltb3Vpb2ltR3JiR2ZcXHVFYHVVSHFpQWdjS2ljd3lVbW9paG1XTEFXZGNXdEFoWT1pWU1ZWkt2OnVVbVdWbVVYRW9WRUVVZVt1ZENXV19JUj9YalF4cWt1WWFYcUdIVVF3VUl3Z2lmQT9yW0NzW3dyWXFGeFVZd0FYSkl2WFlGZldGZ3V1U2tZUVV1O2V3YkN3Pk9JUXdYSGVYX19YQ1VpXVFpQXdjQGtFZ2l3a0V3Y0F5WFF4dWl5QWFYSWd0VnNUc2tVcE1iak1mYmFyYVdkc3lGYXdTX2VldE1ZdEN5bkFVaVFkWFlJYU1WSWFVZVlDaVlFdlNFbm14dklJWVlYYU15d1N5SW1lcWVJeV13PFd4P1dmUUNVUVNpaENJVk13VjtoWTt3cklyeHliSEdSQUdySElGQUlmaFlzSHVkdW1iYWlDWT9pXFxxWV9heE91d2V3dmhnQlZVaW5LSHldVnJRWU5peFV3SExrV0J1V2xxV3hLaU9vWWVJeWdhZVVZSHFtdFZpUllpR3N3Zm51Z1xccWlgaXlAd0VHdVlmdWR0O1NJd2N0dWNIW0lSPXhacXNSc1hmSXNJRXV5Y2lZc0d0PVN4PVVrQ2ZtQ3R2QXNwSXRrR1NZSXNFeWNRa0lYc1lMZ3hebXZjRXhJUXN5c3R4U0hzbXhXeUdYc2lGW1M/cVNHd0lRY0l5YXhlcXZRS3dpa3h5X2h1RXV1Y0VwY1l5aVRAWWdTd3Rfc1dOeXVWO1lFUVlVeXloa3ZXYXJGbXd1XXd1UXNJa2ZZS1l4a0J3XWl1SUddWXRhd3U6aUlbYXl4WUZWR2VEO1pDPmhCR2VtS1FITDpqOlxccUx5TXU8Sjo8TDpgTlxcQE5kXFxRSG14aFlKdkxrZFlXPTx5dWBYPGVMSkR3QjxTTzxMTkRPZExNT1xcUl9Ab1pFUktUcTx5TU9kUl9Za0RoTVVdTDtlUjtdUmY9dUVsTDpFSktNakJFVE5Nb05ESj9Ed3d4WExoeUhJdXVETkVBcENxbkZxd0ZxV1h5dW1hVXB1VmxUUXNYTUxoc3V4UGFtd2dcXHZxWXk7XVI+XVI+X3VPP3NncVtKRlxcP1FcXFl4c1E/c2l5eFlGaHV4XT5fYk52aVJec0NAa2xvblZgcEdvZ3FPakJAa1xceVs9SGFLRmRIYVxcb0l5dmd2dnFpeXFgcVhhPF9iPkd4P0hyVkBrYnZaXj5saXBsWm91SE91aVFoeXdqVWl5W05eXFxAeTtBZkhfYk5YaHlOY2V5X1thaVJgam1pQWllW0tGXFw/eTpBVkhdSkFgTkZYeV9cXGx5SE9xdUpDaVdZRXV2XFx2cHVtQkBrYmx4azxtTURMX1FqUEhwQj1PeXVSaHFxY3RwcVR5c3R4ZkRMS2R2S1Rqc0RMS21PQ21MeWlUPEV5P0xYcUlRY3VLdGh1WUxOXFxWdVJec0NkdkdZO011bkNDYnlIRD1UeXVzZ3FzSkNES113XFw9SGFLbkFMTEBZVG9gbD9td2RBd3NRVFNxbV9xWFlAO1NlUltzQz9rS2Bqa2luTExzQURzV3lzX3F4RkR1YFFKPl1SPl1sXV1LYGFiVkh4XFxgcGVpbkdwbGpvaWt2X0BmXlxcTm5WUGZqSnM8Umw9eTtFS155eERpdWlpbmNpd0p0bHVgUj5dUmtsajthbUJAc1tMTEh5TkI9UVlATnF1bU1YdVlcXFZ1RW5VaVlcXExOXFxAdTtBVkhdUl5hb15EV21dbndoT1thcUdwVVZMd3B1akJAOztFRkljQjxTPEB5dkVLXllWXnF3T0BQX2RPaURxVmlOXFxMTkRITEZsdj5zd2NGZ1dlbndGXltmeU1HW2VZR1d1V0tGXFxLRmlZVmpzRlxcQFBDTHZFXFxOSnhTTlhxUVRTTUlXTlRxdWB1X0w+QUJAU2BcXFZiRT9lbj5tWVdeW2ZpYmBqb0l3aHdoQlxcR0hyVkBrYk5geF9scEBlVFdiY0dzTHFza3dwdV5iPl92b19bYGFiPkdcXFpYW0ZGeXZvcUtQaHE/cG5YcF9xaWFHdW9udGdxaUtGXFxLeGhrPm1NRlxcP29zdVF0WFhsUF9kVFVUU2JzQ0xEYUw9SFFLPltrWXl3WWVnaFpBcF9NcHREb3dZeF51cW50aHVpTl5cXE54YG5abU8+S2h4c2JDa3Zkd2dua0JtTUZcXEtDQ0dyVj9bVHZfZ0FwblByTFFxcmFpeFBfeHdxeWdtRWlpXFxOXlxcdltcXD9gYWJcXDtTPD15SENDXVlIXnF3cz1IaUdpcUtyTmllTUNES2NFPUdyVj9bVWBbTV5zT2l4Wj9gYWJiW0JAU1hcXERscVlYSml5QG1RWXhvO3h1aXlVXFxRVWk9a0JAc01ATUZLaXlYXl10U1hPV0VMTkhyVkBrQnBrO0FWSGNqc2lZeWlJeXZtaXNRV2lhPVV1T0lCVVlTaXJoQ0RLQ2RBQ0hSV0RLY1JBYVdeXUJtWVhfO2dRa2Q6cVlSaXNIQ1xcWFFyWm9jPmtfRVJxWVxcZU9eZ3ljUVB5PF9iPm89WmVeZ1VpbztBZkhDSz1EQFNYXFxEdGtQc3BodVZpbFg9TEtEbGFFUFJiXFxXVmFnV3VvZWVjaVpLRlxcc3NcXD1IYU5hcFd1cHhja2duUV5iPl92U19bYEVLXVhmeWhndVRwSXl2ZXJ2cVl5SUJRTVk9XVI+bWU9QVZIXVJOY0U/V2JoeVg9R2V0Q2h2X2hvb3dudWJCP2N2b2I7YWVCXFxYPnRKbVlRXmhUTHB4YzxNRklrQkBzPEFGXmhoUWhndmZTRl5ncWBjZ15faGxtZ3BBX2I+U0RTOkBvZGRXVWBwW1F0dFRyPlR4PHBvcEFrQkBrdmRqO2FtQkJvO1Y8SXlMQWZ3RVdoY1BLRExzPUw9SFFLQlRbYlJ5WHJLd3c/WFRNWFxcRUReY2ZWS1h1V0U+XVJrQWI7YT1EcGh1WEJVeUpNdXlhbmdRWGlYUUhIdFNoVlBZcVdJS1xcTG5yPXJabVM+Y1BxdGdRSGN1c0NVd0NXdlFVQkdnUkZrdj5gTTxBVkhdYjxhaXh2bWhQeFNnYlR5bUxRbUVXZV1mc2lmZ11YbXdRaEJJW2h3aDpAa2JuZWo+bU1SS1BMUlBwT3BUTHFOQ1VRWU11YEFRU2V4bWBwVWlNWkxORHhMRmxGP0s/XFxTOmh0S1B4TWBvd3V5dHh0V3RqXnROZHl3SmBqSlR5RTxOY2ROYVlQSGF2cElYPl1Sa01qO2FtQl5ac2FpeFBtbFdoWGhwY0hudlleY1deX2h4amdvTW9zS0FcXFdvYD5xaWd2Z1NRbUVYeFdfXmdPYlhQaT5fYk5WclJeU1Z3cEdnP05qcGhocG9sVT5mZGlzXVdtSHBnYXY+T1dGWUdcXHNmO2FJc0NUUUVSdz9ERmt2Pl1kSUdIUldES2NSQndzYVlHP1NIZ0tmVGNGZ01lbndYW01yc0FUUU9pX2FoSlVGYGlWbUVIeUdpaE9iVElUVHVZYU1pP11STlNZUltzQz9LSHVNY2V2Zlh5b2luT2xwaFl3Vm12bWFVY0lsbVFzP0B1YVh0YWxQTXB4VW1LSFluXVxcd09pTkp5cFFAUnlZal1kUV1MTkRIUEZsRjx2bUl5bm1ZaWFuWmhVYVVyPmx0PVB0eD14dWl5a1FYS1h2eERLTWlQXlxcU3l5WG51U0xNc0RFdVFJTXNES2BxbmZsVnBgdXVNU2h1TkVxcFlJeWhQTEtEWVVUanNCbGtlOklobV1ZZT1Yd29UVFFCY3V1ckd0Wz9Dc2lUVHVEY3VvZ3lvZERKVXlsPUFqd2xVVEFOY3VQRVVZVUlueElMS2RyRmxKbWM9YVl4c1VFXVZOcWRJW2RwX1JUeWJqY3ZUY1JbTUJiXWlST0dnWVhWc0VGeXk7R2VHb0Zfc0JhUXk+TXVtQXRqbWVWP0lLTVJ3UVVBTVlCXVJOU0ZSW1tsQ1tfaXJfdXZnQm1FSF1PaTprVltFRk9tUlR5Znh1aXl1YlVjWUU/Y15fZEdLRFxcV1NCVUlPbXd5aURuSWRpX2Z3d2NWX0JtZUNcXElzQ095UWFiaEViQXFGYWtVXlN5TGVFZ3lHS0NkQUdIUl52ZnhgWm9mV0djYVhuYXlfQ1dnO1ZoW2B2dW5nbk9fPGFgRnd4TXBoVUl0d0ZjY1ZtXz5laUFscEdrVnl5eHZaYVFjUHB0T252R2ZzTVB0WEZobFhuPmNRR0hSQj55dm1pdT9TSEFFaXRtVFR1RmNNWUs7d1o9ZWpHT1NNdmttcktkb0F0VWBETnY9a2dddHZpTGNVbl91eWNNcHl1VXBwc05gbGxUdVRkUHlgVVRZcmx1WVBgd1V0dnZ1bENAa3Z4ajthXUtYWl5ebGVpWkp4X0VXZV5mb0tgcGdOdHBWY2VPX2dXbG8/dXdGaG5WXUVval5gbE9RXFxaaGB2dnE6VmBRRml0cXlTT3B5eWVSUGF1WXltZml2aGlQd1xcWj9qbmZtT2liRUlqbj51WUhfWXZlWEZraFhcXEtSPEFWSF1STndSTEtzVVFzR3lyakNWVlVzUm1EPGFjTHdCTUl0bEFZZlNWQ3VmW19VPT95b09EXFx3SUhLdWlHRnVtZmZ5ZUxnckJ5aEhlZFJxU3hrSXM7aE9fZGw/U3B3dU1XWXE/cmY7Vm5pZGZ1aEtneXVNRnNhQkI/Y1ZxclptUz4+Y2J2dFN4Ym4+aGA+ZWdnbW5YbF5IZ2pgeVdGXWVeaUhOeHVpeXVoZWNhZm5eXl9geWBGVlNHcXFVb09ScnFCZXV5ZlVHXnVpYVRVP2BNc3FTREVVXXRNdUhTVFFPc3hxRlF1dUFvblhvX2hsTnB0Ukx5YHBOc0R4ZG1zaW1TPkV4RkhyVmJFTUREaWhAX1VhP3lNSXRqeWVfZ3Q7R1VrUVhTZ1h5P2JvPWdQX2hSeWZNW2NBTUl0a0lBTXVhb3RCO3lbVVd5WWJqY2ZjU3ZnR2RpaVdba0V1W3V0QXk/UXhraUVMcXRDaVl3P0RuPWZvSXhlQ1ZESVZAY1JySUlKQ0Rzb2I7YWVCbE9CPU9pWUttUG1hcFVGSW9RbFB4SE9neVJjdVVCVW9cXGRXX2BwTWVvPXltbFl5d0l4WW1qS2BsbEBUPGFwWD14U3BNWnh3a3B4ZWFLZ3RYPWFxQ0h5VG13cT1sd1VpWFZxT294eUdbZ0ZbRG9jZmFmR1dsYlhwU2F1aGZvQGhoTllwbElwU054a0hdS0lpPF9iPkd0P0FmSF9iTlhaTD5zRT9zR0FbY2dhWk9qXXBrRFZ3QkB4b090cEdjZWhbbU5keF5aYD5tZVFqPHdnclB0U3doYmFcXEFQYXRodVFRX0dHYG9weENHX3ROa2hYbmBReW9XeVZvd3FnbHd3amZ3a3dnZFR3Z1JAZFl5X0pudU1YXFxvYG5faWFlWXY/SG5bcWFzRnBzP15CWVxcS2ZyU25abUtwRFNidFFXTFFFPWtTaFg/VUpzcGtGVHdmTU5RPVN1dUxgPFVkQWtzYVFjdVVUdUtldXdxWXlJYFJ3WHBoRVNERXVnRHJzcVZzeG5RTFhkUUtYWG1fdXViVXddUHFUTG9IWXdoWFBxQHc/ZG1XYXZddUo8cE11PVRwaU47YUpxSVlsaHloYHV5QUpgWXdWYXR0TG90XFxTUz10b0hUc21RPl1SS11yWm1TPl9bQ152dE53d0FwbmZdZ3ZdPVZcXEZpcFBgcUlgcEVBZmBvW0t5dE15WlpPcmFPcXFpXk54Y0hwZ2lnYVpGX19PY1pvY21XXFxiaHhcXGhjPk5yc0hbZ1FhVHBhTU91X1B0QFFzcGlmcEhhSGl4R2ZzaT90eVBgXnZeaG5sSWh5ZHZwSUZiZXlzbV5oUWhpWUBzQXFxQ1B0bU5eXFxOa0RuWm1LUFxcTk54cEFITVtob0FUVF1kbUh1eGNhV1t0TlxcVFZUXFxycEx0aFlscGVsbmh4THF3R3BVSWVRQVVybnBZd2xzPHB5b0ROc0RwPmBKY3lQXmhzUVh5dHF2P1VzTU11Q1V5WFFvY3RQbWx0YmFvZWxOQlhXd3B5UVBYeWhqZll5SG1XYVFydkhNRHVQVm14d2FPWVR1WGR0YWVSPl1MO11LYGFiPD9sOm9lUW5maG9nZ0ZuYmhaV1hnVT5xUm5mbl9laT55ZmdeR3dfSl9xS25mU0Z5RD9gZVhpWEhfR3dubllxPXl3cXVxW0hkYWNmS0l3R0ZqeUJGYXhLV3JeVWlmX3d5bVVUWXk7P3JHO3c/Q2ZhUVJ5b2VDSWNRX0VHQ3VDRUd5Q3Nwb0JtWUNbTXJzTWZWcWliY3c9QWZJQVRTdWM+R2dpeUZcXEtjRVtDYEBrPEBTWnRPPVRMdGhwVmVSUVRLdGRSVGFUY1V0Wm1WWEV0dEl4RT1uXz1NYFl2VVBqWGx1WVFxV0xOW2BtRUFzYWRuZmhwPElxUFh4YmlqVXhzQ3FwSEFVTXlLYGBzX0hxblhYXmhUTXBuX3lPUURzXU10eXBtVFxccm88bWVBa3VwbEtkUVU8WXZtckZkT2R5WWxBbWFhdmtUUV1QeHY9a0JQTkZIclZGXFw8RmpWeVptTnl3YWFGP3JQUXREZm1bZ2ZwYGB3QHdNV1pbcGtSWGdqd3VkZ3VkYW1XUWlrT3ZDPmBlYGRwYWpjWGJhQV9oT3FeYGxZaF52VnduSGs9YW93TmFEb2VNbmZwb2xVQWZkb3hFSWN1Zlt0cVpCYXN5b3FQb3dJT2xweVxcRmFzcE5heU55YUFgUW51SD5bdFZpYz9nd0hxU2heQUBrYm52az5tTUZkeHheU2BlRWlkbl51Y2l3VEZnaVlyRmdpYlheb1BdXmZgdld3Tj5rdFZcXEJwX3JXdEduXjpYd2Jvb0h3WmJIblZXcnRwc09vdT15d3FZdWFIWkZ5dUxQZG5wXVZXWnBpbVBxbWhOdFBOY1VfX2dxX1JQdFpmdDpPZURgXXVvcW9QXWJwb1RQb01nY2RBZ3VZZmpWbmJZWmpfX2d4dmE/YGFObnJAclpvYz5HeVBgWmxRXmpGZnVfXkY/eU1pWj1gYEp4X0pwYDtubmBIZUFnaG9gZ19hW2VZZllGY3V2W2BgdF9HW0ZheHdnWmZoeWFRY2J2ZVlmdWFHdmtHc0NoblpvXzxmdGxTZU14RUtVWUN0S1VYd1VYXXdVcXlmWm12eXNUVE1JXmdIYFF5YHdSYT1XS2lEO2V4aUdFdFNlRW9pS011ZWVJaGNVVUNJcD9YSlFHXV9SPkVIRUdyVmR2RU1MRGlQZkxXc0xzYUBQb1h2RFVqWVVWZXF5T29ueFZwaGdoVHhhV2ZjUVlbdnZhQEhfeUB0Sm9vW0B4REdbX3lpQG9xYXFdT2BtYkhqVXdfTGh0U1lnbmljRXBpZ19oUGZcXFdmWklhd3FnYz9GZ1lJck5xa2V5dHBoa294ZWlecU95YD9PZUV5eWleY0NHbFh4eWxXZ3VIaEpJYUxeb0l4X29vd0NBXFxLRnE9SHJWZHZlUjxDaXhvd2M9QlFpRF9jWGN1eEFdZk9DaHhbZ0VzdWZdYmNHSFFZY01jSG5Jb0xkWFR1cWFdbldBSk1taltYbnR4UDtham5lS1h4UEM9X1tOZ0lPcmdGc0NQZU1pb1tAZT1AcEBAeFRuZGVIZ2d3XFxDYXk7SW1MQXJneHlBVm9mV3lpTmpTZ2NvQWJKcWF3QHVwXnRCQWk/P2BSWFxcS19dWj9AP0dZQWRKbWdfdUZ0S3RXb1VsT2ZdU2lPW2d3TUlsVWdRc0RkRXk+b1VKP2dFZ0JjPUNOUWltcWVQSUdubUdnZUNlUVVURW5DaVBOTXduQGtZZFJpSVU+RVRsTVZrRHlxUUpjZW1eaHA/ZnhkPlxcW3hzUFdgPnFhd1d4TndeYldlUU5pZEhcXFxcQWFcXE5uckBSTF48YGpsZ29FdnRTUWRMWXdNaHBmT2JFT2RYaWpTaGVfcG9veHFJaHRuZ2BEZ1tjeW88YVpqZ3FCR2RBV3NpTnBIWHR3d3BFP195V2FEZnVJcF9tdnJyaXdqZnhxaW5WX3dDZ2FVcXBQcF1PeFtrX3VgQV9uaWpCQF9cXEFdRkVEV1lMS2tGUU9pRHJOWFViaVI+eE89YVNFQFlgaFhCWUtQaXdcXFxcVlZdbGJYb3NteVlgcD49bUVwTHllamNkb0p1Ul5odWREbnZpeWJcXFh5TFFMWExveW86TFFsbG9pbVVIUVhzeFBbQHc8dFNwQW5ocHhFVVVYZHZ4QExLZFI+VGpzREw/aU9lbVdsZW1cXHV3eFVXUU1LRkVPPnB0Z1R3QkhxUGFSZWlKWFBVbERuZUxZZGVLbXBPT3RZd2BwdTxWPEB5Q2x0XXVWVXVwVFxcSnVYU2J0eXBMeElBTkRNbE1kcG54UllBcW5QWHVYT1M9ZGNwbUxOZnl5Y0JPY3NOXFxncXNKRlxcP09aPUhhS2ZyX0ZzXlFhR3Z1Yl5mTnlqaVZqU1huVldyV3dkY3daX2hxQFZgeUFxQFB4ZFB0eG9sUFFlVHFcXFJQXFxIZnVpWFtbYW1JVmBnT25oTmFOSWU8R3lOQW93RmxCT2NIX19jdnlITmpzV1xcXFxZaHN4YFthXFxGYWZ5X3l2aVRLZnZ1YzthZUJoTWVcXGx5RUpNVUxYcFNhTVZLWWtzZFBedU5DVVFLbG5uaHZBVXddUVVNZVk/XFxTU1BrSFFRbGFQRlFqckxNQmRYXmRZVWBwRWhOTnhzQF1RQm1TZm1LbWRLXj1vSz13UkVuRWBMd0V3cHVOQkBrVlByWm1TPkVYP01Sc3BKY2VtV2VuRWh3PU1ZS3BuUHBvYlFKb2RLW21sbXV0T1RRb1FWSGVPYUV0U01Vbm1qUGRtc1lSPWV5czxQW2BVQV1WcVhTdUBSPEV5VkFPdmRqQllTSF10eVBKYlFuRGVyV3F3RG1NYmV1eXl5SmBsTFB3cHVSQkBrVjpHVk9hZGU9dnZvRj55YnlHZHBFaG5XVVtNU05daFBfVWV5cm9ddFZ1ZjpbdD9vYm5daHZNRkY9VUl1R2dBdDpxdVtrYzxFaXhpdjp1eVQ7dm9RdE8/WFhLZEpteUVXdVc/Tl5hTkBUWFxcTGthTHFuWHlHcXR3ZXFSPVhiXFxTQnV0S0h2WFF0eHhscGFPRmFwdU1NclhVU2VTUW1tVnhLbWROXFxwc0ZNeFlgcERBUF94T1dRdmJgWT91bHd4WUZpd2g9UVpJUUNkdmlMcVdJS1xcbmNdP2BhTm5yQHZtSXluYGFdP2JKcW9XQGBlaGhkYVxcdWdfZ2hnZ2ZjS1lbdmZ4PHdzWUFmPEBxaFZ4WEBfZ2FoUmhqQWB4PHlzbG50c055RD9fWWBdP3B3QW9lbE92d0Brd0FkaFhwY2F4T0BkeE50Z3FrSkZcXD87RUhJTVJzb1N3PXlQW1NzbWJAd3NvbXRwcVJSR1VPXWh4X3ltU3dqZUU7dXQ/VWJoT2RwR0Ngb1RTVWJ0b2VdaVVSR3dOY1hvV3NxXUZOd2lLY2hhQ0RDRXNDZ2VbbWY9XWNfVUhbV2hBYUZfX0duVWldW1pEVmpzRjxjUzxFWXM7ZXRBeFxcbXRoY1VvT1RZVXVAPXJOSWRJR0N0W1VBRXNvX1Y/dVZeRWVaY3dxRVdHRVZoS0JPSWRsaVRqY3ZlS2lCQXR3Q1RicVleaUZhSE1gXXhcXD11PGxXcWVOUWBYVFhzQWlud01OW2B1aXFYYT07X3JabVtmVndcXHdjV1hvdlBpSnF3TWFuZ3hqU1B4alBsT3FbUnddZVlabXZmcXBgZ3ZkS0FgaVhuQ1lbZnhrZT9aTkF4cW9xWXl3WWldY3F5QV9lbE9OR3hZU0ZdX0hha1RiUUdZT1U8XWZ5RWhycWRtc2dKQ1R4RXJabVM+RG1IWVB4RXFndXVVQFBfdUt0dFFzcHRNWFc6WXRqaXE7UXVIPWpjdFVzVEpgYFk/dU9wYXRUXXhEcXRdeXFGWG0/XFxqRmF1Z2lPV3F3Pm1QY2FQUEhPTHFxUHBQUE1ycnFScVVxPV1STmRZRmx2Pm9ec2FpeGZvRXZpW15yQXBaPGFaaWdlU1l4bz9tY1lcXGFAckZgamVheEJYaFpYc3JYbUx2XFx3aHRTX2VEWWVJaHRdb21CYGZ5WG5gRmFLd247YGlSaXdoX2Y7d3lkSHhlYHBTT3RuaWtKeV1MbnJJVnFVaV5cXE5ecUdgUlhcXEtfb0xZa3ZmcHhBZWledk5ZW3dmYEJYdz9IanROXFxoaHhOUXF0eXZ2VndScVtMcW1BSF9TR3RPcF9vb25QcGdqRmJ2aF1sTmN3bl51aXl4eXFcXGB0eUFjTUlnW1ZrdGh1Qz5teXlcXHd5aVRPZm9meXlGbV9GXnZna2VocVxcTj5iQk9WSHdzYVl0amVnXWN1d0lWQF1VT29zW21nRT9DR2diU2NEUUl3SXN3QUdpOlt4YDtlRWtJZUdSaUtGbkNWa3FSY3V5RFVXR1NIaUVpQD91SVNmb2FFXFxLR3NDVEV5VDxlR2xfdm5jVUpHU2lLZVdBRE5heGVFaVRNdUQ9ZUVHV1FNWF5bZUI/R3U9RUZEVGZMdExkS1dETGlZVm9kbl1kdkddbkdsamNEVEtRWWxxUmp0THJtbEpwUD5sVkRBUndsVmtoeFJ4V19Id0JEcUBQWFdkUVlATFdwd0FdbXhpUFtMTGVUWWRpUm54VUJVTUlUUF1oc3lMTHRYdFxcPHhzPWtCUHhfbnY+c05zZUl5ZlFDV1h1VmdNV0NNY2hvVnNVYm5Xc1ptR3RhdGNtQ29bZ2VldXJpZ2pTSHU9d1ZndmNJUk91VmNFdGxvZEVHVmhbQk9JaUZZR0JVeVF5d3F5cnhpQkFHc0NPSXdZdl9vQ1lnVD15aEhpQnlBQ2lLc15LRkRfRUBTYFBBd2RnbWNpcE1ZZV9eY3lGXltnZUVJZG5RYjxxbWpWbnRoWmd4a3l3X2c/b29BXXduYj1geVFAYEVwW2NJYFdmbk9QcEhoeXVOX3d4a3ZgXnJ2YVRvaVFgWmxJdkh2bU1Aa0JgZ1Jec0NkU0tsZUV5RGlXUHF2W0RXX2FWWXB0TnhVPlRUSWFvbTxwYj12UFFsT1hTXmh4QEhVdjxTRWFURFFVVVFxbHh2STxQbXltZT1SWU1LTWxWcXBSZ0lrPk1TbE1uSGB5WUV3aklVWV1WYnROXFxMa0hsSm1NXkVfaD5YcVxcaGh5YWVSWFs6V2lDV3VfZndeP21FYGFPcGxkQHdcXFhiVFdmaFhbZmFbPEhta2huaWBgVz9hQndiUHlzPUhvRXdrYXZ0RVdfXFxBdnNhcG4+c0VZZGhOXFxLZnJPblptTz5Fc0dJUnFpSEZ3VGxvV29tU21JWGpDVlVlZz5HaVpZVGNhWEJnRGZXeXRTUkVZWExxZD1hc1ZReEg9dHNjZUZbaGhFaXNbeVtDdWBXSGNfdUhfZk5XRkhrZU0/Y0JPaDpBVkheWll4c1FvW2BgYV9ibUdnYmVHb290TndVWmNnaFtYS09FbVNoREFCUkdlPU1UWmdmUmtWVF9SX0dyb0NEYF9ZP3VHXFxjQ2hzVXNDSFxcZWVJb2JeYVJXT1JsR2c9d1ZWY0ZbX0lYbXZudUZcXEtjQ1tDYGFacmBdYE9rPmlsTFFxOmFzWW9vbUFsUXFqU29yd3dubnhhZ1h5VF5zb3BvdkBqb0FlV3F0TG5cXFdfa0J3YkRpcFBmeV1GZ2lWcj5QeU1gbm9WbGp5ZUp5d3F5bkB3dmNBYWhYaz14dkx5bztZaEhubUlAa0JQcDtIclZAa1xcZ3JPcXRnUWVSSFxcaWddY3ZxSk91Oj9tU09lblFaSGdlYGllZWFvb0duW2ZteEZwc2BwXj9tP3FoblFmS2dbZXlkVGdndWBwaEFzUmd4TXdfSGZnSUB1V1hzdlhsPXh2VHZqXmBseWFddnZdS0ZcXF9XOm1TPm1lYVl4c2FoWF15dlVXbWFXY1VHXkdXY1VzeUFWZFFzb1tYcVFoeGtnX2FHV0FWUF1mTmlWWWlocGFpWVtTR0NpWF1DZFdjaUFXSnV3OlNIXFxtVWY7d01Fd2tFaFFbc01XRG9JaW9vWGphY2lBSXJtR1xcS0ZEcUZAU2BQXnA/SXBRdmZkZ3NycGVOQHlyP3R4cHJqVltbQXdiRnl5PmBdPnZnYG5HV2pTSGw/d2FwZmRUUV5SUGBQeHVab2ZXRnRUX3hIcHRzbl9MeGA7Zm12cWl5QXFCaGFNQHNKeXZWX3VbWGhjaXJuWFxcV05hUUZcXEtmdjpWanNGXFw/UWpQcHBnaWxqdlxcdEJsZ2h2Y3ZIO2U/V2JAR1N1QVJUYVVSR2lGaUhyVXdMS3hdR1Y8R2lYPUN0XXJ0XXM7U2dPb2hXV3lfRUNhWWRfW2VZO2M+WURDP2Rwa0NYV1dsS2RMTVZjSWlNQ0Q/aUNAU1hcXF5tYFd1SD9sUGdaYFF2SGdxYlhkaU55VllbbU54d09sb19rUHltZWFjX05xXFx4dm1OdFBJZXF5X25wYWhIZlhXcndpZXBYaFFJamN4ZHlPdEt5ZkpGZUdoXXZ2dF53WklpYj5fYnM+clpvQ11HckN1cGdnRV9DZ0NDVHF1YmNXeV9oaV9mV1FDbUV4YW9iT2VDZHlGOmFjXFx3czpHZVVXVUFNdFl5ZHBhREZhR2lLVXFteU1bc1Y/d2NxRW5JeXZ1d3JpeXhBVXM/QmxHZj13dlRndlpJaUI/Y2JzQlJbO1tlTltYeU1pbkdIakNCdVlJY1VkWm1HXFxhVWBjZ3Fbc0I/aXhdU2FlVnN3RWBfd19fSUZFaUFvYm5laUpdVD1NWVxcW3NiQWhwd0p1VFNUdU1lWVhiaUpbUFFEcXVtTFZJQXNTZUtWTFFJSVJSUFl2TU5cXExYO1Rqc0RcXD9GWzt3eFFPY3VXXWBeaWVhdV95YVRXeW9gX19nYEZRX1pQYTxub2l4Z3U/ZkBnck9wWm1nbUlheVBGZ10+Zjw/b0BeeEVAZkRxZGRHdXh2dm9vYVl4d3N2cVl5cUJJdmFRdmZgdj5RbGpWYE5BYVt5ZV5mblZuaGJhZT5fYk5YYkZudj5fXFxFTmpRaGp5cGRUSW1QaWlXeGtWc0dpaHhfeVE7ZWM7RG9FYltjaXJZeENDV3dFVmQ9dHlzYlM9VWJfREZhVDpHY2pzRHhNd1xcS0l0RVRib0dsW2ZdQ3hUS1hvZUhLZWVVYVVleXRZa2JTd0RXWXNkP0lybWd5XUV2c0RLQzxKVGxvSV1waFlXWm1vQVRUbEVubU1taWxscEByaXl4WV13bWdnPEhdQ3ZlZ2ddZUhyVVdid3BzSW9vb2B2cVhyRmdsUldiVGl1akZ2V1dqd1FfZUFpV3h1dlhdbG5cXG1OcUBvc3NBblZYaUdfclhIZVhJYVNec3FOYXJvX1xcTj49YzthZUJOXUZYZ1VxeGNHc0Rwc01vbztncXdgWmJJX2pGdndRXWVoX0FIXT92cUtPZUc/bXRWaEc+eUlRckZAcXlpWm1OYXhJbW54dFtvdnJ2eU5xeHNeeG9OZEFfc1l4aHZJXXN2cmNQYFBmcEdJcm1HXFxLRmRIRmBSWDxTQ25RckhZWGdVeW5dVlZ1R3ZhdGpnZ2U7YmRhRV9RaWR5dlc/SG9rdnlXckZlYnJVYm5XWWd3cnZXQ20/R0tvY0pXV0NTUzs9ZVRTWEc7eUVbZm9tYlBJVVU/eGh3RHhNd0JRaVhdUmRpdlptVURJcm1ld209eFZdOlpSWGZVcXRjSFxcZVhyZlB1U2E7PVJiUUdjZVhbTXdHaWhvdWRQcUVgXVR2UVhSP2RoV2ZhUVVgT2ZvO3dUbUJdV0ZrUUlNVWNoT0RkV2hvX1Nrb3NpR2Z3T2JvdWk/d3NhWUdbeXh1eXhATXZDR0k6cWk6TVRYXUVsPXhWXVpIOm5nVXF0X3l2aU9sUF9cXGBvY21nb212b0BWaEt4bmhuW15oXmdOYW9JblBYcWJhY2ZmW2Z4clZYZ2dXdz9xbXRmdFxcYWdjd3hSd2tRUWxQZnFqXnhBRmdhUGVhcXRJWW87bmVRYHF5aV48d3Nndm9EUGFyb19ZWGphUV5cXE5OP0VGSWNia0RGeWRwR0VTc0Q6T2dxO1ZERVRAV1NVU0NNW2hvb1d2XUVGZVVyVUNjVUlabUd4YXRLUVhHa3d0S1hoZ3ZjS1VFbXloX2hpY2dVZWZfXUdUbXRcXFdjRGNpQVNoWkFkaFtSXkdydmFDcnVIUndFQ3NZQm1oc0NFbEljQj9HQWJCWXh2cVl5TWVJeXZ1YUJgbUZPX1hUS2ZvW1NlYXlfWUJbTXNJXVh4S3h4bXRBeWc6R0dNRXRjWURvX2dfVUNGZXlzb3NlbVU+a2ZwU1VVb3NWUXg+W1NDXWNQQVVlRUNFdURST2ltcUZQSWlmWVhWV1lDV2RtcWNRPUN5PUNLQ0Q/TUM9R0lLaExdRFhmPVBRaUo9cG47YVVSSXFIUXVxeU5GPWtQaWpBYFhuZVk8YHBFZW53RUptdFJzcHNtbW9NcU54bEpNbW9cXFhQdEB3QlFxSHBueXFWV1RvXXB3dFBNYlVVUkBYeGhMSHFzdk12blhKW2x4Y2lKa0hxc0BPblBWWFR5PF1SPkVZOkFWSF1iPHh1aXllWll4c1FkWm9cXEFOZElXY0VnamN4W1F5dGxmcWpZeHg+bXRQeElmbkdGalNwXmtvXFxGR2dEaV5qVnBlQGdnSHllUHR4aGpTaHI/d2Q8ZnVIVmRBb29VeV5DV3lSUWFxcGxKYVxcOnhwWVdfcV9qUnlwPkZdRUBgY2huTFF3YVd2Vmd0VkZ3S0ZcXEtmdkR4bHlHdUpGXFxTSWdTSWNcXD90cHB0Ulh3P1ZtdEd0YXBDa2k8U1Rda0NlQUlXV3NWVWJ0b2NaV1dDeVJPU3drc0M7YWRvP2dhX2dVeWRfZ0M8R0N2UUl3U2ZAV3VuaVR5c3h1Y3k+XUVOS0dSV3dVZ2RaQVZoV2hRYU5qdFdCYHY+dU1MUFR2cWtuYWtCZnZCVmpzRlxcP2FbeXh1eUZzYVl4d2FrXXd2bnZxWW5uUGBlV3Bmb2ZgTm5mXmFpSV5zdnd2ZHhwbmZlV15kaV5cXGdGXmd3XFxGUXY8T2Fkbm9baWU9b29QUW9pbnBwWHRzRmk7aG5NcWBBQHVxQHNwaG9FeF5jeWVATnNASGFRcGx1QXc/SXBlUHJWdmI+X2JLPnJab0NUbl9RT3lQckZgWWVkT3dEWUJRcWlYeWlBalNQeEpVSnVwam5lbWVgcWlcXFNHUHlFPXNCXFx1d2lud2lPZz1wb3hVQW11b214UGRtbWRVUXRMVG9eSlh3ZWFmO0BjeEZudk55aV5yeGZfV0d0TF9tbnlvS3B5b0B2dUdnUXFmXWFpVE90PUFmSF9iXlE6YV1jbml5eHlJdm1JeXhUXnN2WXZjcXY7YXNPb29RbmlkYWx5T11kaGBOWGdzcWpYX3FjWF5bUWFsYHVKT3U+P20/R2lYRmpTP2tCV2JlZ2ZlYWF0ZndcXHBrXFxYd3Z2dnRWY0Vwa2ZYd05Ha1hpbVlZYWNmZkFObE1meEdxYlNAbndQeVZgYFZ4YGxwcG9pcFh3Zm9IW0hudnRWWkdPYkJYYFh4W21WbEdGXFxLZmJTVmpzSktZcmpUdF9sUG5wcG9ldEllS01RUXFIeWltdHhkVVY8U0V5UG5tdlBAdk9kUW9dcldVV095bz1ITT9td1tkd1M9bWpUeW49dGFBdFNsVXBMVXFpcVhVWGdYTnlJcm9kdlRtbm1ZUWxManNwSmp5b1pNc3JNdGFtVUtRcXNpakxRVVRxc29FbT5keXVFVWFtUz5dTHddW0NAX2BBeXdxeXdvYVl4d2RHcXVWWmBPZTpnXTt3Y2l2cUpRbE5YeFpPYmNwak9nbUg/ZEFfc3lPalNYdVZXY3leaFhWaHdAZU53bllfdEtGaGdYYnlAXFxgUWpJZ21BZnFNYHBUUXR0TnJGQG51Z2FeUHdZX1s8WGpzcHk/P2JlR3hpP3BwWHNEP3R4Xl47WHlnPm1xZmBkYGFGaWppUHl2WVtAZmFQd2ZsSHRpeGVEX151XmM+X2JBWWZqdl5cXEBtXkZ2dkduPlh4ZT9mRHFfaE5bdEFsQFZoV2d5TXdkb2FjQEhfa0F5TW9raXFeQVl3VmZ2dE5gaFhuYlFlSW9xVVFpRkleY3dnPGFsbkBnc3hqUEhyYmF4RVBdXFxpYG5wXFxIQHlNTnNVSGlwaGdnWHF5QV5iV2F3X2xWd19CaHRzd3VNWWNSX2h0X2JXSHNgcWFVWXZ5eTtHSUtDVE5JSFJXREtdc0w/aHdpaT5nV2dDU3NBQ2BdRFZFd3ZhdlVhZ3V5aD1hYmhJc2xddUQ9ZUtBVmdXRlFJZ0tTeTphc1FtZ1tfVD1TaUg/cmVFeUVvZD9Bd3ZpdnRLQ1lvaVpHVGtBU3lzZHZLeT9xaFdlQkNFR2U/ZFY/ZztnVVlhVk5hQ2ZpU0RFdVpTeUBHc3d3QmZXdm5lUk5leUVRcnM7SXBfZl9BaFZzdEZtY1lXRVNxV01DREs9SEBTWFxcVHReXFxteUVPW1hxRWB1d2FMYF1YVnVuPlxcVWllWVJ1Uj14bFR1eG9cXHFlUVI8dU9CVXdmZXdNaWw6ZVhAcUxXRFJQQUxlaHZmVE9mcG5JaHFHbE5OeGxIQHlNRHNVZFldRHA/TVU/VFd1cG1vVXlTTFBAdXlNaUs+SHllQGpIeXdYZU1gYFdBVVNwXVhgVG1gbXRrTFFMcHFITXJzZUtDdHZbcFZ3RU5cXExuQmJNdmM8SXk+R1thaU8/RmRXeGp1SEBHRU9zdEtzd01nZz1hSFpvU2pvd2VhaERPRU5pWF87dDs7SG9rdnRLVmZXRmdRVVhRWD9ndExpZUZzR11DVzpBRjo7QkI7UkxDVEpjREVNU0NVZEpjZ29beFFVVXVNdGlLY1djR2dJU2NlU0lvR1ZbZE5PaEVtd3FRYnNZcztvc3BTZkl5eUU7ZXNHdm95Zz5LVVFvWXRbSF53Rl9fUzxDREtjUkdTYnNDRD9pQkNzdkVlZ2pteVJbU3dlaEhvQmVhR2ZLWUtXZlBRZXl5Q2BNUz9lZVQ9VGVxcm9dYldVc1pdWG5fVUFNY29bYlBBZG1hdE1XeGJlR3BpVTt1ZnlDVXBJeV5ZVlhtaUJbVD1pWHQ9SGlPR1tZaWxfQmVpdGxVZ19nSVdFVmBvY1ZNRHJBV0xNc3JFdWl3WXM7UzxHWU1TdFFteGNhWWh5SERxWXdtd3RTckd5V3B5UzpdUj5FZD9BVkhdakBgdmBlbTtodltFc0pRTTxlWG5cXFVBXWpvXUxyZFlIeFdHVHVUbFNRSFNVQWx4QVBSQGxYYVJUZVJzXW9IaVV4TWtnYXRBXFxRWExzT0FZUkhseVFsUHFYVURXXT1WRHVYbjxtZT11WE1Mbl1xSHFzXFxodmZ0dD11VmFFU0hdbV5EdnZFbm5kbWBFeHFBb29RbUJAa0hQVmp0TlxcRmI8VnhGP21LdmdeXl5OVl9LP3FqR246WXdRWXhJeXV3P25xd3dod1o9eGtvWXlHb29WWGFxR3dYSHI9eGFmcXlzeXZNWGtWPmFqP1tPV29YQGF4WGNRWHhIdltZbnk/P3huQWpUbnVpYFtUcXE+cXhzR2BmP3U9aHI6eGFweFppeV10XnhNUW5JcGF0XnFScHV5XmlyQXNLaGl1cVtmaXB4XnA6T2B2SXFzd2lAeXJuSWJhcGd2WV53V3BGR21MeGJlb3VRZl90YWlxZ2xkdl5gSF5jaV5aX3VBaGJreXRZcHY9ZnNUYWlmdltTeVxcUnl5c0FzXU54anhkXld5U1huYWZ0d3F5bnZdQHlpdj9lWFZkPGZuRGFzQXFsa1lpSkduTE9ncE95bkdzX2ZpRW9zVkhheT54b19sYXFxWW9xQHZqZnhbX1ZzbXlpeHZ3SVFtQkBfeUlmanY+a1RiPUVPWUN1Y0hCa0VXSWVQb2Rgd0RhbWJWZ0hfR1VtT3lydXl3eWZqUXdlZ3lrSXRBVURqSXhBWUR3VUZBbVlPXUZOSWhwZVJFb0RAdWJIY1dqQXY9d0hdZ1NVb0ZBaVlIX3ROYVRmYU1JTXlgRXZucXE7YXNlcHduUGo7dXZJbHl2UHhgXFxOYlFyTllQTURYbjxteVlwUnVtYUhZaHhMVm1KRnBsVm1ZanVZU11MR0xZVGxxPDxSYXBNOmVzdEBybkhLeFxccXVcXG5ObFN3VEpydHdMRVlxWVRMRFVzPFhaQVZqdVFMPGxrZEpdRXBWZVE9TU5cXExWanROXFxAeVFtcGZFT25Jd21lVFpod1RpcFFUdGBocztRcj9YT2pQWW9xal1IdmxETltAVVpBcWRpdGVEbmtVdnQ8V1NReE5BcnhAbWxNVE89bnRlV1pleHk8cmhoTTpxcm9McGlQTUptcVxcPFh0SXU6UWxzPXJjZW9JeFlWVWxQUHRIYUpwdXc8TFNCPU5pPFRqQXldPWtCQE9cXEFNRklrYnRVY2RVdGBKdGxYdnROSlF2TFVtRWRTanRURWxWVUBWaHBzeEBLUnR5Qzx0bmhsUHFyPkBZWmB3ZWRUYFxccnhNTlxcTGtQbEptX2JrYW5QV1pacGJXPnZ5aFxcOlFueUZqPnFjbFFjWT9dYj5faXZ4YWllPF5feVlbYlh1Uml3WE9cXEtGZEJeW2BhQlRYWHVSWllqUUVqd1l5OkhRTWlTZ0lxZFRUWGF0T3huWERQO2VtQkBrdnZlU0hrQlB2R2dsVFBhZVZrPlB4U0ByRnhdR2dbc0dgZVF1RlF0YT5xVXlgXFxOXkRhXFw9SGFLRmR2TmF5WFtqUGdzPnBnV2BqZmZmPmhDaWBod3hCQGtCUHJaP2BhTl5EeGI/WGs6dmRWYVpGcGlPPm15WV1Kd25bPmRpSG9VaXFcXGJiU0NGa3Y+XVJrUWc8ZUZDc3ZxS0JZXWNsU0hsX2Rnc0NOXWdkcVhpP1tGP2BSXFxtWGxlWVpXcWc7bnF0d1tyYWg+PmhHd19AWGhcXE5eSVBmanY+WFFXUFJrUXl1aE5WeHFFXFxZclFRSkl3dGxTU0BTPl12O11LYGFSPkV5O2VyZDxyR3l4PURPXUFqaXh1PUxNcUBKSGlxPjxPS01ld1ZeXFxOXkVWanNGPHdVTkNHRFtVTmlzRmVmcll3TjtWXk1oQzt3dGdnb0F3Pl1SXlFHQFNYXFxWXVdmYWlhdT0+YWp4W3JZaTs+YF15WlpmYE9hZVZOb2dgZFNGZ19nc2dHeD5WcGJGXFxLRjxzclptO0V3XFxXUkdVVVNvZGhjR0c7RzpBRkhdUl5xQkBTYGJWWj1HYUtGbGU/XUZlQkN4c2FZX2F2YGFSeXd1eV90Z3FpSkNES0NkcUlIUldEcztTPEFZVUNpc01SVG9zP3VUP011XFxFV0dfdWZZREtDREtjckBrQm1sc0RlbHBFVEpxWHdES2VJS3h1cXl1bVVlTVxcTE5cXExuUkFyWm1TXmFvP0x0SEBOXXlWZUBubnBuTHFWc3B0XUxOXFxMTkRIS0ZsZlZednFZeXFZeXZvYWdIX3lmYGJ3aG0/YFJYPF1STmtCPUdRYWlzO0lwO2FtZXVtTURMS0RUUl1LYGFSSFlVXFxVdWh4TGhJSnh0bWlpWHNIUXc8V1FZU3h1cXlZS0FVWT9dUj5dUlhwclptU15hUXVheEJIVj1IcWJNTmdoWEpxWD90dnRYUj5jUj1yWm1TXmFpeWdXVWl0bEdIbVNjd3lWa0FjPWlZXFxLY2VLeG1jVFhtV2hdZHA/c2RVZ195VkZ5d2h1Z0I/Y2xxYjthZUJJWUVhZl9HU0V1VTxFVGlVd0RVZVFncl09RUZkdkZlUmN1Tz9kV2lVbFBtdV9wcUpETHNMajthbUJJVlBhc2ZUb19xV0dBbldRVUhRclptU15hbVxcSFZwWFJMeG1HeVJfcXZMRVdjTHRgUFNVcE95VHB1aG1nUU1LRFRoQVBSTmtGZl1vdltIbnZvUHJWdmVScXB3P3NTcXdKZnJXVmlKdmFWaHNBaW1JVmh3dmpweFpfaHFaZl9DSXJ4R1xcS2Z2VFZqc0ZkXl9vbWhnUV9bbV9pS1Z1cG9oPW9aS29pT1h2Wm93bUl5bnl2ZmhsZ3d4bnZydF9iPl9sQV9bYGFiS0hwV3FwV09hRkl4P2ZnVWFfX0deRFFlO0B4QWBdQXduXmZjQk51UFlnO29udVZ0V05eXFxgcV0/YGFOa0ZoeXBod1xcSWZIeGNvaGdteWZNQF9lV2lnV3VfTnBrQW1wcHBneXF2cWl5aHlHX2BLRmxlP3lFeW1iTmB2b3BnYXBqdnJVeV94Vl9lQWZZP2tcXElsdz5tUXZ4c2FpP15eYndmb1lwcE9xZ1d5UXZqdWFCY3ZDU2JzRmZJbnR1T3JWdnFQT3VTRmJVaVtXaHdIRmRWSXB5YWNjWW1bZ11vdnNkb2pPcFpwaHdzcGtwQWtCQF9JQF1GZUJBZ2VVdXB3VUZLV3FzUlR1ZFpnd1hvSVl3d0d1aVl5aVZJdWhFRD9pQ3VBY3NPc247ZWVBV3RrY1llYnFFaE1pZVxcS0ZEWUNAU1BIVGw6PFRDbVdIUXBncXNkbUttZXhvYHBBWWpwaHhWVGtfYVV0RVZUeXdMcVRDVXVbZHdaYHBHUExSeW50XFx0V01uUmVMZG1MUGBveHVuY2FzQkVLcGhZRWVtZXFLS0RETmhYcHRycFpJUW9seGNUeXNTZ2E6T2pwYWVDRnZdX3Zod3RaaHV0WXhzb21PUWpjZ2VmaHlcXG5gXFxgeUBxXWxodDtgXVh2cUVJbnhAXFxLRmE8SHJWQHNbT1xcbHhgQz9zWE5ecXddb3Bod3hfdVFwTT5aaFdsUFdlVFdwQmhoSEBfeD91UWZ3TElcXG5hb2A/ZWt4c3Vvd0F0PGNSPl12U1tDYGFSS0d4TF9oeEt0cE9yZm9HUmtkSFV1YENiWFVTWl1oXmdmcV9obENkZXFFS11zRV1oZ3VHS3dlW1N5bldmO3FjVT1kQm1jcVlJVWlGXFxLZnZHVmpzRkQ/QnNpWXlXVDxtWElFaXVTVGl5dlpJWHRzeXNZYmxBdWFHVjx3UkVFV289VmRtc0VJcmZcXFhvWHh3bE5ESFFPXVdVWXY9YU1pdW08YWxCQHNtPU1GQ1xcQ0Z1WXl2W0lQdWY8V0VhZUhcXEtJWGViWld5dHF2cWl2anNyVXl2cXNzR1FzW19SPkVEP0FWSF1SPkVoYmNJUndnUW90T211RnFXRlNYdmdJUldYPmNlQl9JQUdyVj9jQk9WS1l3THFiRFVlYkNmdlNJUUNYVFl3Q1lDcmFRYUhzXVVyR2VWRF1STmRQRmx2Pl1STlRYXjxUeWVtPXlqPlBNa3R5TU1yc3lWbFVtZlhUUFBRTVlQXFxMblZZVmp0TlxcTG52UVNlYXN1WFdNQGp4eVBGUUt3UHFsPW9IcG9RTHBUaUxMTHVxSXFRaVJcXExzST1NRklrQkBPeTxVZmRjTmB4ZmBQPWNJd3RtT2VXc1lJTURLXXRqaUJBP2NCT3ZYZ0hhRXlBa0lZd3dFRWlneUZnd2luZHVnaUxLRHRrQE1GSWtCbnFbZ29PPnhmYFpuSWZqVms6aHhMcGQ9aXVYR1xcS0ZdRm52Pl9iTnh3Qj9iWUlaTT50WXhsVXFuTFFdPWFrWnhsPEhva3ZhXmZ3QmBwPW5vb09sQlB4V25abUtfWVVMPHRvbXBQSHFQVU5cXExYT1Rqc0RcXFxcTj5ZQlJbc0NETEtETHM9Sj1IUUtiQng6SktESUpLdjtaXFxOWFpcXHI9Oj9jdjo/a0E6RExzO0RcXEk6Tl5sPU4+WTpiQl9BaHJhWXhXUE5xZGxWcXdBZFZkRHJncUteVVRDRHlYTVFBSXZtbVRtPXl2RWxOVU48dHNZYG1tQHRpeXhpQVh1WEw+XUxUVGpzRFRAcHlMcXdqVXFNXFxMbVF3RFVtYHFYYVxcVW5VcE9Bc1VQdUVVbWZxWGE8a2JcXFBAVEhDREt0S1o9UGFCS0NEcz1CPUdJS15CdzpCS0NBQkt0O0xLXVhZcVlrakxZbkFScVhxO0VtYjxUWkBqZXRtcXhXWVlXa3V0V3V0clB4c1hqT0xPTj10T3hzdURZbEFYcml5eHVUeHRQP3hUdkB5Uz1RbF1OT2l3aD1MS21LazxtTWRqW1l4c2FVRXRRXmlVP0xLcmFuX3l1aVlrPGhKV0lZPV1SPm9taz5tTVI+XVI+bUU6QVZIRlxcS0ZsQT5gUjxdUlg6XVJeOkBrdjpAa0I7RlxccztGXFxLPFI+bT1SPl0+akJgQWpCQENaS0ZJWktGTDpdUlg6XVJeOkBrdjpAa0JrQ2lQeHRtaXBrVmFUSUx1b3B1aXl4aWRYZXhRPl1SPl1SaE1WanROcWR4S3BYWT10cFl1THFXb0VvaVxcUj4/a1ZnclpvY2hPeFVxcHdvb25RakJAa0JAcz0+XUZJc0dveFpvbV92bUl5YEVvZ2RwWmdRcTt5d3F5Y2tvcEVfYj5fYj5vd1o/YGFAZVxcaGBjaVxcPHBwbV9cXGZJa0JAa0JgcUZIclZQZkNHW1VxeFh3ZHRHYj5DS2NSOlNKbFVsd3BudlR0SzxYWXhzUT1UaE1rU3FYaUlYdnhSPl1iQmBlPEFmSG9nbHhpeWluYEdoZnBrUFh1PWBhPTxFWD1HclZfdU49dHBnWV5TY11VYz4/dXE9dDtxaUpDREtDRHNPW2xjTUdEbVVZQndDcV1JS0NMXFxAbTxBVkhtV2RcXFdVcVFOaHJrYEtgYVI+P19oSGBSWGxVUFxcZld1dVlwcm5sRXhbP19jVGhUWVdpVUNSZWNZbVhcXEtGXFw/V1s9SGFedXBobU8/YElmaFt4ZmNGZ3VebWVxY3g/bnlfZnJOXFxOUXQ8YV1pVD5vU0BXVnlZdkBDREtMWFRUanNEQUFWaFdSdEdyPT1pX19FaUlUVkl0aUNlUD1DV2toVG1WbUtUYG1IbGtnW2lVeV94dGV3Z2dZVENZXFxLc2ldWXhzVWlFaWNDQ207R1xcZ1dgd3VpeVVVa3ZrY3JeQWU9Q3RieUVLXWddPUhhc0hTWWJvbWZFa0JDWWN0TWd2P2lleXJFbUJncUdXQ2RYZXJ2Y0NZUUlbZWNAS3hmb0Z0R2h5a1JfbURKaXhWTVVUUVZ5dUc/bU14eU1JXFx3TXhtXmhVTHFYPFR5ZlhVV3FRYlR5SURTcExRbj10dGhLS3FLWVxcdFlsUFpkU3h4V0xhdlB5bWBtcD10cGNtVllwWUhQamxZb11AVltFeUdMbkdRcVk8dWFkb2pFVHNxUEt4UGtlcl5oTkJ5a3JFdExETVVpTl55UnBgd0NAUlNEV19UczpobkxFUGNxTWNlSzxwcGlQbHBpUmB1SkVZd3BJc2xVUFNtV1lUbFFJeElQTlVpUFxcQHVBQVZIbVdkdFZVcXVYbHZyaU9ybFBSeFRrbXB1RHBoZFFGeFZwZUtnbVg8PVRqQWt0aHlyZU1qUU9QaHNtQWxdcHhpcUpwaFdKeG1KaFM6cWtHQXJIZVdsWXZqWFJUcW1nSU07XVVpVXRcXF12VEBXR1xceF9YT1JAbnhNVEc8bkxlT3NJa2hoT2dwS0pFUnldcHNpWWBJVF9dV1VZcWxUUUpRS19ZVF5Id2dZeWxoS0BYWFxcYG9rPG1NWG1mSXJ2VVVSdnlFVng8dm1ocG1daHFDSGNUTnJuPmBlP11JdmRpbl1oX2R2VmFBWXdCXmFlaXNXdmg+b3l5cWBpaGxwUF1SYV5nV3hUVlxcPnlwZlhgcXhabGZ5XU9kZlFhbF9ydnZgZ3d5Zj5hcFlmX2h2X0huSElnOklfR0FqdHhuPWZgVD5nRFloYXhtXndmeVljX3FzSndaU1Fic1B0U2hwbl5taXFsam9hcE5kV1heRGhoRm52XlFbWXhfalllcGFaVXF3akdydkdsblh4PXBwSWFoblhka2ZiZWlycVllcUhhT2h0YkBpUHdyZUlwW1FyeWZmQ1dacFF5eT9qb094WFZod1FbWmdvbmh4bHdpQXFeTU9gXFxhXFx3SXhMUWBMZl9XRmNiVmZEcWJuYGxeQGNrYGtQP1FNc0htY1N5VE5hSVB5VDo7R1pnZ1pJaFVJYllTVVlHWV1DZHRdcm5jQ1JJZ2xpWVJPZWRtV29fVEB1UnJ5eGlJSEl5WHlxdUZnd3dTSUdBU3lJdmpTVz1nd0x3ZDxHSU1dU01lZkRRQkd3c0BLZVZXQm5LVz1bRGlDZW9ZdmNLRm5vVFZzclldV2xddT87eWxdZUhLaUZdcmtXQmNLV1tfaFNHRGNhRUtdZVo9SGFzaE53cmtZUmlXZT1hSWB5VGN1WEBjV3FXc3l1RE9DV1pHdDptV2lnRUlpd2JNVkhtUktpeUJheVxcSVR0a3NoRUNRd3lnQ2hUUVRaZXNMVUhMa2VVeUdbb2JgWURmT3lmUWhQVUdNRVI8VVdzU0Q6WVNiPUJRP0JVP1RUYWJsUUJbb2Z4eXhCY0NkWUlxT2VMX2VnUXRwO3NVV2RvTXhgY1ZXX2ljRXVsb3hyeUhjU2lfU3lHYUVpTWVQSWhZT0dbYWk/VVlaR1VcXDtUTnFJZVFHPz1UR1V1cG95QWVnSENYVlllcmt5aUtlbWFmb1dkUVl3Z0NkYkFFS11pWj1gTFdzcGhvPXdxZVFydm5mTF5jZ3FidE92SnlhY3B4THB4RFhwV1d4XFxmeWxBZ3NWYmB3XFxtb3ZuYGNfdnBJeF9KWHNteXJzZl1zbmVtYFtSR15TWXZZSHlgYGBdV3d0YW1XWGJlb29FeWQ7bmNmcFtOX29oT3dmWHNPT2xQR3VWUXdiSGh2YHRXd1xcaWZmVGduTXhreUF1eGh1YFlncmBpaGBwc05oeUduc1F5YFh0dVl4YUhtYHhnUG9jdXZcXHJWb21IXUN3ZnNYY15odHFoZ2lHbFpocWk+aUF4c2FZd2J2YFdhZ0FJc3k/Xz1HYUtvaGo+bU1YZWZJcnZ5YVdIaV9Wb0E+c0F5YERZa3h5W2x3eFxcQW5XeV9CcXFlXnZwb2t2X3FZWHRXYHhAZltfRl5FQWE9P3NjR21Eb2NZdnNab11aWGBOYG9UX1tmRm1HXl93aXU+QHM9R3V2WXJHR3A+VmhbWGZPUWFgUWJBZ3FaSXBcXGdbQ2Z2T2hjQ0FjeHduXWh5VG9wXFxoY2NHW0ZRdllHSmFYWkVibmdVVVVISGd0TD9lWXlZamNTWUFzbmd3RFtlV2lydmlEO09GW2dnZ1VZWD14QGdUXFw/eUZnd1JnU0xxR189R2FLc1hrQm1NWEVlRVVxeHlHdXZddU1LdHQ7Rl1jSGRhQlV5dkNVSU1tWWFbSV9zR3hJdmBtWENHSFRVdGdHZlZxVXlBZE1RdWphdUJjeHJ1Q1F3Uj5NZUBLUkdrYkVrZlM/Unh3SU5RZVFtSFRtV1xcd0Roa1Rpd0Znb2lWeVdiQ0J2T0RcXHFWXllJVFtoWF95bllDR1V0THNkX3VZRD1EWV9Cdkl4XTtoYTtndkdVaVtsT1lXOkF1cVxcdlJxWDppUndkc1FhbVZgWGtoV3V5VlVxcHhwTFlwVlV5WHk9cXNtc0NATz1UanNEcV9IcWdVWWNfYUJvZVp5aU9AWnhRbFZpaTpxeFtmX25mcU9PdVp2WnRxdktOXUZoYE54anRAdmx2bm9IdlNpYXBWb0F5XFxGWXJzTmZOcHR3dnlrRnVOaGNmcGVMaGh3P3FISXdXV254SG1HX25wV2RjZ2NePm1RX2tUd2RtaVpXPmxneGhASGdRYXhBblxcR2FaYF9rPW52R2dzYnZoS1lrS3dpVUBaRnFsUEFwb2BxR3hxOz5nSlF0V3FpQUlac2d1d2ZkaE9dVXFoeUFnVXFxR3FwZ3hcXGZZaHRfYlxcYF1ac2NLd15pQlh1eVh1WVhnV3F5RXM7ST95eTthR0FFeWpbc0JHWXRXdW9baEU9WUlXZGVMd25BcltxTEJMa2A9Ukl5Tl1odlVsVER5WF1wbEFdU3BEcnZUUFRVTFhVUzx5WHdxTGBIV0p0T05dTm1ZdkNJVXRFTGJVbHBwbmNhdWhZdEBBSk15cWtUWHdYT3dxWFldUEVhcFRoSztwT3dYUERZVmJ0UGhFcGdVdz91bUF1VlJFbFFxVXdxdnlgdXBdY2xRaEZJb1ZAa2w/ajtFcVtoTW9WWUtTVk9kV3lCVUVydUlTc2lSaltTaHVHTm9UO01lWEVXcWNIeE1Sc29paUFzZkVmWj9UbFVESllodV1ZdD9JeEVpcjtpWTtld0N0PldpT1djbHNJSFV3UldlWFdHWz1UPGt1Y2NzR2FEPV92eGNHU0t3VllDYkFZVUdlXFxFWExZeUFxeXlLd29BQj11dztLd25jQmhTd11tdUJFVHBHc2VlZ3hpUmxxRlVxd0ldV2l3aGFFdlJJZ05jeFRHRkhvZE1jdkpdRXlxZl9zQ1VNRmd5RWNlaGdnd3NPeHRxaWxzZmFDZEFBd25RY1k/SVJ5R0k/dWllaFZBc0VhRV9Jdj5JdkJHeVR3aTtfZElpU2JzSWp3R25JSHRLdXRtUnVTREJZR1V5Z1NtRklFdGNLRm95eURVdVl5WTpTRF87ZnlpSHdTdlVhWT9hWVo9WGk9ZktVV1pXd1dhZzt1c3hjR0tFQ3hPZlB1Ujt5UlJxY3Nrd2k/ZnY/dk0/R2FBRUZJR2RWd3lhaXh2bWheXFxeWG5eUV1IeWp0YHVfdltLSWlEaWhuYGVNYGJYV3dzaG1oVmhDWE53R3Npcz5vaD9ZaDx1dEdXdz9RZWdrR2xTWF91VGJPRW9xd0tXQkxZV0tpeEd5dHFTckdpWDxDd25faT91aUFrc3hfQ3JfaUk7VExxaVBJRV9XZFFRV1d1V1xccVlVcXdrUXh0a1dpV3hkPVdVcXlfS1h3T0ZEd1VGa25PRFJbYXlLRFdpUXFWaU1JQHRzUHNvcG92ZFFjbHZvcE52ZG1NZVZoRHBYXFxzd3FuRklWdkFPWmVYQlhXR2hYVHBxUGlNO1hYaHRKZHBtTGR5aElUXl1UTXhQU3VYSERQbVVzeWV5dEhtWFFUX2huO1R0eFBQUVlMbl1xVzxReVFNTXVwSG1YUVlTZUhWVXl4dj1rXVF3VHFwUWBSYFhRPkV4R3hvPF12VGRLYVFYbXVqVWl5anFKZ3RyRmRQZ0xOWnFTOnVwWXRNXXlPT1RTYVVKXW1qQHBvWXRRc2FUQ2RWUVVtbHlKVz1wQFB2TXBVVlhZWVlNYF1wdll4O3FWT0hUb3hXSWBXRT1YWV5faldyXXFubkdrPGh1ZVd1UFlnc29mPkBhaGBuZ1dpTV9qdFliTnZ0XFxfeXFoX0tfYUpBWmZYeGt2alVgcVp2b0V4Wl9xWG9FWVNmaWNEdF90dXlWTEtyeFFlc113eGVZVHlmWGdXYE90TVFYQUtzeVtoeF95S3ljR2loP1N2WGFCcHF3bFN5UWFHQWtleUdEYnV0PWFzWlFycUNXVG1yXFxXdFJhSG9nd0hjSFRtZ2Z5WUxVS1FMdk1kUlFda3hxcF9Ma2FMTURZdGFoUkZpc2JtWFhdVnFhUWtseExFbHQ9TVJAeGg8eFdZdWxpbndcXG1reFVZcFZtWHhHYUtYXFxPUUVzeWB4XFxEdEVMcT1kb2hESnhITUBcXHl2bHJmbFVeaHZnVGxAVUptVWRxbmFgb2ZYSXNZUWlVcXBvcFpmT2ZgdnJkaWpYSHJFdnJPWWtCd2tCUHZWX2t3cXBfTmtxTmFUd1xcdmZfXFxfXmFnZENZc3NPZmJpblxcZ3RcXD52V3leSXhtPWBxWEl3YG9eSGZtdV9tbGF2Z3hweEhySkheWT5mTXFuZ0FwSUFkVD9vSkdeVlBpZGdnRnZdeEFeZGl0ZUh3THdbbUhvPkddWlFxQUBqUHhcXD12d0leWnBueWFveGlPZUdecV52Z1hxX3doXFxiYWh1YHlSX1xcandwWXB3Y3lbbUdseHdiY2d3X2hbRVFmRE91c050VEdlcWloQGFvQ0dsaXFdS195Q0huWXFwPkd4YF51bkBrS2Fldj5zeG9tWlloY2lnRmBlckl5TXleOnlsaVZtT3ldTWltSkdcXGJxeXk/Ym1gYlFRcU92Y2hmcW54X3h4eXheZENIaEBoa1V2cFxcSGI9WV9rSXVheHNdUXNldl9GUGRJUXg6d2JAeV1NeHdXSHBpT21LVnhuYGRtTml4bmdeSHFSX3hQeW5fWXliYV5xWGlTZmhMSHJxPnNHWXVUYWl4dmVyUHVYZm1tYGVBP3VxTmN1QGRYVnlRX251eWJOdmtSXlNzVGJpclhXaWxHWWZdSFBzQ0RRd1ZFSGpPZV9vR0pbeDtfYmF3dTxveURxZ0V5aFl3WF87WD9pVTpFaExDZXlrZGxnd0d3SHhfc0Jjdl9RVT1jZlU7c1dTdWJNWGRfeVldV1hPQ3lJYm89d0tZdktbWGhhdVBjUkVvcjp5eEpvZ1RRZ1lZR0d5c0FrUkc7QnBjZ2tTeVFncztrQlh1QlZheT5HVV9dSFlPZFpnWWpbc0F5ZkM9WVlbRnF1dVBXeUVXZk5pR1xcP2k9QVZIXXZEZ2VzP1lGV1VfbUc/V3hyQXlCU3RfQXVBb3VnbUdYWVNhV0c7bXVwYUdKdUhZeXRCU0lkPXhaeUNHaWVseVY9c0ZZQWRzSWJfUVU8c1l3S2M9dWJwQVY+QWNrO3dVeWh1XVh0O3c+Y2Vfd1Y6X0lJeWNYd0J4ZXlYYXdVWUd5c2dpd3VhQ3J3cVdtRXJqY2JeQ2J2d2lVaVlaS2NvXUNgUG5IdUpYcEtBaFFkVFdLYU9tRXhqPVBZUXBQYW9eQXFvZVlAcVFXbVd3cVhDZHZfUHNfbXlyTHNPaHNVeHBTWFFfWE1fZVlaRW4+PG4+ZU9zdXlzQEptcXZ3aU1zcWtzZFN5UXJsVXM6VVA9WGtAXFxYd1lrRnBsUHVrc2VMUnVOaT1KdW1RXFxtUlJJa0JgTUBBVkhdTG9VWVtxd1xcSVJzRHlWcE1YWHJ2VXd0VFg7cHVwaEtTVHloTHdjbU9qYXN5eExlaVJOTVVUaHh3XFx2RXFzb3RKYHl5WkF4W2F0QmlYYkx0bkVyY1hsX2lTQll3d1FQRFVVYGVZYW1PSGR3bTxVWGF5a2VySk1ObG1sQXVZXVFMP1lPR2xQW3BWW0V4RFF3WHBYWGRNZ3R1bWhNcmV2aGBrSm1vSVV2VHh5bVRLP0RUOnF0Z1hRa0xZbkFZZmxVdnlPZHRUaEBqZXRvZnVqQGlrZWFqeT1uQUF3VUhqaW1xQ0VybkhXbV1YWGVXXmxOWEhqSGhNVVFuOkVqdnB5RmFWTWVuVD1yPXV3PVROTEBqX1RwR3FRV2VSbmlyVUVqdXVqO2R2ZGRSYXhNPl1saTxQUk5rZFheU2B3SWB2ZlBfU0lheFZwXWdhcnl2dGFkc1FdeEh0eVZmZFdhZ1FpSXhqO3BwV2dlZ3FsUV9ddF5oUnZvd3B4U25tdk9oXm5oZ1F1bV9oeUFyO1huamF4TXl5PVliSWZ1ZlFmaVFoYFd5cGl1cmB3bHBpTE5zYXFdV3lub293R1ltUXlyZXZvdj5qcGhnXWBoR0ZiPEdnWnh3Sj92TUliOmF0aV5zeGZ5eFlJZ0NieUZbYWlcXGdZP1FZXFxLZlZJVmpzRkRPZ2pVY1tpUlxcbVRPX2k+W1hJa0JteWdZdUJQZ1Y+Y0hWbVlRU1JzZ1ZWQWljPVlaSWJRR2huRXdkU2hdQ1I8U1ZTb2Y6cXlvP1NVSUhBc0N5W3l0S2VuQ0k/Y2V0Y3JAYXdcXGNpdXVJZU1Sc0VyPjtmdlVFPmtpSXVoSGFyVkdJRUVYaElpcVd2ZFlnVVl2P3dEdFFmYGVzRElkaWFTO0V5b0VZV1liYF1idllnUWFzeGN5RWdjQFd4dV12dU1oVGV1Qnl4Oz9jXFxxRT1HSUtdVGM9eG9ZclVVY0FjYnRrVGNZcz13cmB5R1FJZ2VxWXJBRl1VaUd1Rlp4UHNwdFd0b0ppanhtV3NodkNda1l0eUVIdUs9cUY8VG9RS21kblt4c3R5WVlVeF88cGtNTGhpcXFpTm54V1lRTT9Va3RdcEZFc2xZdkl4cVtZcElxWWpkeGZpeGhZbHFETU9pc0FMT1dNS2ZYeUA8dWxZU1pZdllxWXVZUFhIWWB4S2hZcWl4Um5NUWB4dWllckVNSll0TlVYSzx1WGdVSkBgeUk8WVppU1pQWGdBd25JakJQdlBUanNEVE5Fd0lgVXQ9UUFcXHFVPHRPeHJAVXNvYGpfWWphXVNSTFRPWFc7ZFFYTFhxeFNYPFhyQXhLXFxVdEV3V0F5XXlrX0x4WVVPWXlVYWRwUUB4dEVrdnhubGhvQVRUU211PmFXdWlLZWxUZkhySkhOWUx2O3lKaU1YX3hxU0lYXkFTZEx5b1lNZm1QSF1RaVROTlhvPGluOlBtUVltd1lveWRyO2hRRUFYeWl5PU1Kb3R2cXF1dWVVbk1RYlh4XXlMRT1QZVxcc2RRVj5VWXA9U3J0dz1cXHh5VVN0aVRnTFF3PU5cXEBxPkFWSF1cXEx5ZEthY2loYHFXZmtBbmZxbWFedTx3aUtvbm9ocVVuZFRYeT9OWzp2cHZmXltmc11naW5HcmF4bUhPYFtgcUpgWlBReXdpXmpuZmxQYl9wWm9Rb1dHak94Z11JbWFvdUBpa3FuaEReZU5Odz93Z3hIYUBWW1BeX1F4dk5PZFhBZG5vW3c/bEBoeHR5W0J5eD5hXlpnd1FAaWZJeEs+d09Zb1VOa1F2a0x5WFF3TFV4d3lIbElGbU9TYnFzZztySnFpOnl5d2dDTl9HVWNleDtcXEFIclZkdE9WTHF4UnF4X2FYblNJTFlmYlFpZ0lmTHViXXNiOkdjaXFWZlVXR0VZR29iaGdYQVlTeEV5P1FncXdnSnFIbUFUWG9Ldllwc01LcGF3c3lQSnVXeHFzdXRrQW1xPUhRXnhMdk1XQnFLYlB0P2FzQ3BtT2R5RURyYHhNa1hZUXFrOmFtY2lvVXVQQ2BZYVR0V3BZWzxYPVluOllZSU1tWWROd0BObj1xdkhVcnhXcmBxS0x4SnlzSURMP2FLQFRIaWJEa3ZjYXVUZXVNcVlYc2NHX1J5cUg7O3VrZ3JWeXRLTXNIeVhyV3VZc0NjQG5vZU06eFFVVHg/WFd3SFlvcXc6UWxhQXhYWVldQXRheHNPPVFtYXNqVGs/RFVuYFZgZFNBbWpPcXdfQHI7aXM6TXdYPU5nQWtzYXV0dFh2cGxMYUxiXFxWQHV3SXR3QlxcTXR4WXltbGVEcVl0dkN4TkA9VmVxTHNdV2tRb2Bpc0BtcFJ4d1lRSj9cXFVSeHF4aFNhVVBUbXlPZ3NwUWhzV25uSXNFcGZgQF5cXE5uVk5GZFJXcGteSHdJcFVgVVRhbG5tVXBIZHVdRXJ2eWxpWFBoeW1XaWplUFlARHFaUWptRFBmPXVhSWpFSE5LRW89YFllZWxCUXk7ZE5IbUtGQVhcXHl1dFRMcWF1bVFOYHhTeVVRanRRcmhtSHlZaFhYQXhzVGhwWjxQRUxraHVNdjxXZ0BVdUhZRG1wdXl4P3lMTUhYXFxJa2dBdG5IV1ddcGJFdEpkV1RhUEdcXFNtPVV4YFlTWHZIaFVuQHdZVXhWXVRvWVdseHBKXXRweFVfaVM6cVNOWGxtSXdhQVg/aXJxVG0/dWpgeFllbXB5bU09XFx0ZF1LVmh0P2lteEFMS11zXFw9UGFMWD9weXNtWVFtUEloa3BlTXRwalt0S1c9eXNYVk08eElheUZod3B4VHJ4dFF0S3RgeWxhcjphTEJIalRgd29VVjtQTVdZcnk8b0RpdjpxeHlEUG1tdjxcXFluSXQ+XFx4YklYQz12PFhzTmBseTxQYF1zST15aFlxWT1wZGV0QGBTWWxVWkBSW1xcbGJEVEhNVXNdTGNMVHY8cGd5eGFIc3NsS0M9WVlZandUWXBAdjpJakZ4d2lpT1VtWFp5bllwVkFMbWQ8VWpASlRlcGRdTVJwcEt1THhMb1V1dFZddXN1dXdVaj1keTpFdWBReGBZb3g9eWFJbHQ9TFJVeU89dmhZakN1UFxcQFVrdEx5eFdpWFlCPFV5eW9TXVlCZVlsUUpKVXFjYHFTTVFTaXF4RExLXXNbPVBhTGhHbnZ1SFxceG9lbUFmS1FfbUdfVlhrQWFiSlFqWU9gWFBjP0dbamd0ZElxVGldaUh0SlhvRWh3Vj9oO3dnWld4Tj92PlloO1B2T09weD9kS1BwYG92UGhoWXdaPEF4aXhxaF5yYXZtRl9yYGlzdW5rc15jPXZob1BnR0dkZXBkZV5kY1B0Uk9lXV5kYkBkVXZeVkBkR25xalZuU3lqSXZ3UUBCWWNHVWVQV1ZXUWk/P1Vtb1Z4a1RmP2U7Z3dVeVRdY0hvY0Nta1ZGeUNuY2dvdUl3YXhAO1dTUXhOXVNWP0lNYWQ9YVR1T0h1dVN4VXI+P1JDYXNjc2ZOVXJ3c3hWVWV3d3I+TVNbQ3lzR3dfQ1Z2PXZvb1ZQb2Q9d0I6d2hZY2RxXUNpUXNRS3RdVXRIT0RLd1ZrO2VNYmlFWGNVeWxFeXJBU1BHaXI9V25fVWc/ZVFHWHlHeFNtd29Zcj1xc3lzaT9LaXBlSVlTVkBhUztrVHltQk5ZaXFbeT1faEBXdVE9SWpzQnRBdFt3ZVhjdVdtZ1ZlQ1ZvWFR1RG5LV05JQm9Zd2FLZmJFdExHaWRZVFtRcj9JVHNPWF0/Uk1ZeF9XdXRnWGJPSXVXSDo7QkJgTlxcQE5kUE9mTFVuRExFdEx4dWt5cHlUQE1CPHh5bXlzYE5KcWtwWU91dHVleEpxYEpgaVZRdU93YFhZTGtORHg6aXJQaFZJXUpoTVlWPFl3eG1zSXBVZXBSPG1uTG1tZXdNRFRwSFBSWExzcFI9dGtAVHhmcU9yXFxMRF1OPExxQVFqc1FvX0RNcWlwbjxqPE1NbjxvWWxySXhtSFhqdWhORmx3SnhQbWRWSVVLdz12SHlxOmh4XUVqd3h5WGR1T11xckVNbmBXU1lKZ1hVcWFLRnBrQVBvc3RYREV5bGlQS3FwZ2lNO3BuX3VPbXl2SVhyaXRxRlByTGhOTWhzO1R5UEVKeWVRZHRKRFltalBzV2R2VUl4PkB0YUxVbWlqdlVTWURSdXF4Z0B0X1hzc0hMZXlXSGhQY1VLVk5AaXZVU2h3a1deO1hgdUJzbUlLPVVXX2RCT1ZYU2JzdHRieW1xaFhAcGx3QXN1aXJVcFNPSW5lcXBRcFVQXFxuaVhtUWFWZk1YX2VyRmV0ZGhUXzxwdGl2bXVzd1hOW2h4bT1ubklvYG1qTmBYdXl0U2h5dXBMV2R1T0VwXFxlVVY9WVtpcWJVdGBxUk5kT1RsdlxcSHRCPHRLQXltdGN3PnRwZmdUb2pZcGl0Z1xcTXlueVhqPXdqcFFaVW9uO1ZlYUdlRW5eV19pZlFqQ1dxeXFscXZdbU9abU50RkZdbHdpTll5V250T2h5OmhqTWlzRk9iQXhbPHZtSW5adHdxYnFoaUBrYm5ackd3cT5gS29hXlhuYFl5PXBwbVFpa3FmWFd3SmlhcFFsanhncUhbcEZ3RHlkbHdvaUZgWkl2QXhnO1lpaWlrP1Fxb1dtPVZodXdaYEdnQ1dhRl5vWXZnRHFhZkhfT1ZfUHNbV1hheXI9Q2JyW1VnP1luP3dVX2JoaXVBT2ZNdWZBSUhjTXRFP2VsY3ZvQ0NiWXk6Z0NZSUJVYUZad3RiSUJOR1dmc3NbY0dqT3ZhT3dNeXZEXWV0TWdBc3VmZ0RRd2VlcVdxQUJdb0VvU3VtbWY6c3loO2RxdVNLXWVdZWVCT1ZMd3J4VUNNY3ZxS1VRU2ddQ2Jbb3Z0bVhdXURXWVZRQ2dneUNUd3dXVXNlS2NfcWdYSUl5P0dTTWhya2V1bXdoXXVyVXZdUURAaUZKcURpb0NmR2RKU1k6YXNqT2ZtP2dubXd2YUJIWUlpd1haUXJIdUdkQ1VsT0J0b1hHbXI/c0RuaXJRdVV3W2NTVWhYeUJIY1c9a2RJY0NGVXhSO1lIVXlRQWZWRWlsO1lcXEljWG1XcXVIbWVHaWtCeE1kaWd5eVdDR3F4cXNXOnN4eG93aHVlQj9zbWFpc1FzRl1kaT9XQ0NSUFVjal9SbTtmdVVWbmF4YldSO3VVUWNVUj1HPGdoSUl4XFx3VklZU2tRdWV1ZVxcbXhmaVJMa1ZZZVJ0eXl5VXdQeUhaUXdld0JBS3JzXUdiU1VwT0dobWlzaUluZ1d1VUlAdWN4Z0VVa0hmQ0Jwb3NOd2NGUUN2XXljd2Z0RVNyc0dncVdhU2hec3Vld2R3eUNyRXlIVWhzP3lRPVZvUVRaT1lwa2Y7X0ZcXF9ZRUdyVj9zb01VYW1lTWdCQV9UWE1zVk1odF1nQVFic01VSnl0PmljT2VFXT10WGdJdUlkSj9URlF1bFlmTkVnTT9YXWljXT90XkdTQXVUdWlkVXVmVk9YSGtFc11WSGtpeFFZOmtGSW1FRmNZSE1Za01nYWtWW0VDYUdWZVNoSkFUdEFnc3ljWUNCcWNJY3FXWT9rYUhQUlhMc01qSFBtZWFNTEl1R1xcdXNFTT91c2Q8dnVdT3ZxbmlESmlAUVFcXFhSTVVVbXVrWHZ3PG11dHhpQXJwZXl0eUxacXBVcVE8RXdMeU5zYHVtYHFjXFxVckBNaFBxZGlObkxXbkVMQGVrZElqd1hZcVB2SFhRWEhyWXlZeXlqXmF2eFB4WGhzPXlZQ293dD5mXllyYHF5aVlsO1hndFltVF5oXFxObko+XUZJa3ZGYlFeXVRJa2JpX1xcXmxTWXZ3blxcak90TFdgaHlcXEZ4dVpvb0Vud0ZYXXFmX2pAdElwb1hHdVtYYlVAckRBbXNGbltmcHdXeXg+eWl5YU13Y1hxcXdZWmJRdW9JaUNmb2tZeG9XYW9hdEg+XWo+dkleW1luaT9uZGlwbT1IYj1wYl1nd1RpY3J3d3d4Xl9ecWF3eVFJdTtYWkFQWmVebUh5bXlgW19Xc1BQW2ZwbVRBbjtJc0tId25XeG1JakxoZkdRbj1PaVtWeFl2YTp2dmpneFRPXkRmazthbUJZXFw8Z19yXlxcQ2liPlBgdV9xQWFuQGZabXdrWF9vUnhkdEBySXdsaGZ5PEZudmZ1XXlrSUByX3hsWGhrO1lqaVlid1F5b1ZyWFhiPW5uQFBod3ZsWF90Y1hwVUB3P25ta0FjYUliaXl1eXlmRmBdU2ldRW5cXEZ4ckF5XUlfclhpcXVJeFN5ZkNBX1RfYGVReFB2cVl5XXJuYWNGd09fb1NXcGNBd3hJWj1ualtJcEFxZ014b3VpXUh5aHJAZltXdzw/dElfc3Bha2tfW2BhYk5Ib3JheUd3Yk5WbG5fdHZedEQ/bkhnc0tvXT1QakFfc11hcEBhcUF3aztuXk54XFxmRlpOWGFNb3VGYF06bnB5cWtpcXFVcGtDV2xgR25pd3VoQWluSXRVUVpdVnFbYF9TT3BsQWdidl9OP29ibndyWHZNX21wT3VfR2R4b1xcS2lubXltcUl3bWlgWGlpcXFmc1F1dz9qaXdxd0ldUXFldUFwPlh4YWl2ZT9cXHR5Xz52cXlxcVJ2eFZZeFxcbmZGQW1pb2hORl9BXmxnb1xcUkdibmZnYWFpdkZ4PlltcmZ2TlB3bHl5a0drbWldeFZvbW9ianZ5YW9tdlhdVWdbTl9vaGF5YUleXFxAbUFBZkhfdlNOYWdPbkBQa05hY3huXWdRYFFOa254c3hWeTtWbGF2eWB2Z3ROazpmW1heWkRoZG52XUppXFxpdnR4R2tdVmFgUWZqQXZJRnh4QXdrQWlgSXd4PnFvcXRFSWRqQGZAWV1OZl1vaVtIZnZ3T3l2V1xcYnZ4QnlbbnlfPU5hZVdreHZ3Y1l0QUd2ZXhvYEB2cFh1QE52V3hoWHZhYGd2TGlbVW5wXFw/cjp4dF93eVJBckJIYUQ+c0lJZV9GW1l5Xm9YbHVxdEJWcUhZeHhwd1VfeGl5eUROcW5HYUlmbkRnXnJWdVNnbUNoblRJX2x5XXBgdXZBZUhxbUJeaHZoc1N5cztfYmtHajthbUJZZG5gbV93Y1JZblxcWGVgUXZcXEB2Y0lcXHdxXWd2cENpbndZeUlOdnlxeWlpXFxtSGhMd2pGQGRoYHh4Z215SVp1cGxCP211YVtVb2BpaGJpcGVJUWZyQXhpPnhsWXNJPnZ2WHhId3JoaXV1VWRhWEk9RlZXV0JldEtPeHZRRERZdGNRdkJlSXVtaVM7VUI/V3Bhd0lHeFhZWV1RQmU7ZmRFU0RJcj13YmtRc2VzRV1Jd2F3UkN5dGR1Z3M9UnNvdDpldGU7YlxcY1ZJZ0lLb1l3eWhIUXJ0aXhVP3hGWUhdP3h2WXhxVUlZSXVQT3hgPVZHQVRtdVVRW0VcXD1IYUtmSjtFRkljdmNGdUhZdHRuPUxxQVFyaUlQbXFsdV1vaUVZXnhMaGxvVGVwO2FsTl1URGFOSnVsaD1KblxcWT48dXZZWFpdUlF1VlVFU0ZdcT10VFdldEhUUXFtdzthcXNVczx0am9Bd2tcXFFoWXNRTVBdSHZWdVJIeVhpcXU+aE5FbVlGXFxsXkB3P2ltWV1Za0RNRXlsaUhQQWRsYmhKTlVxVDxPU0hzZERudGV5PGVwZUBqT3RvXT1zSnhralV5Z3lUWnBTV1BXSHFYbkhVXFw8UEBRS2BZV1BQc1VEam9BUnNRc0hxWUhMTkRIWUZsdj5tbUxdSmBNczxhcGp1SlRBUU91amhpcGpZTXZMVmhxVWlcXG1wcFl3cUx2dHl2WXFgVW5kdXBGUGxEQFRePFlcXFBWXFxIb3l0VXlsS1JhbDx4c3l0bXZdeD1pTXRcXE5bYW1tTW5tTHl0aFl1UU1mQFVrVE5qQHVJcXJHeFlFd1plSWhqQXZYRls8WXFLP1A9SUpVeVddZ1JFR049Z0pVQ09PR095Uk9RZ0c9VHVvWFVbRGNLdmpFV0JnY3htd1hlaXg/UmxNWFU/UllxY3hlV0VzZGtTRl5RSUxtRWhFWGRPaEdldkc/VF1bRVRpaGI7WGs9d1FzVXY/dmZ1RklNZ0NbVHhDVXh5Q1FNZWlpdnNFRzppQlFRSXVJSUI/R2BJSFJGYVRXZ3h4YVF4a0dZZ1dOcUFRdGk/eD92bWNHbU9xdUFxbUtXbnhIcnhoaUE+akxmaDpYXFxIQXNYWWpEZmw6Tm9ZV1peXnQ8bmRIUFtmUWdSQXB3bl95YHlTQGtvWWRlT3BRX29ScGtZd2l3QVxcRXhcXElvcmBpc0VZaHZvazxoWkVAblBnb1BAZ0xhbk1OZW9QdztYXFxIP2hyX15UUWxKQGRQZnF1d2s7WWhJaXBMeGBFVnFfWXdPT11iX3g+YHVgQXZHR2pIUG9pTmlMVmZAYWM7UXdPWV1LZ3F0WHJteXFxVmFZT2pzWWFgcXl2eG1TXnNDQHdyXltgYWJYWG47YWVhd2ZDWWdHP2lob2JLaWFQXnNFdlxcQ0FxeT95Slhpd0FoUnBjaT9dSm9vPz95S2B1WkdvQWZeUmlpVT5xVW9uRmdsOlF2O0dsUnhudkF2O2lxckl5YUlcXFJQYW8/bT5IeE92cnZfY2leb2ZQZW9QX1ReYGI/alRmYGQ/bl5Hc0xIanBfdkJJXFxmSXVteFpVdVVJaGZFdWxbR1dNaU5TaXF1d0BNV2RJRmZzVXhZU1pnWXdpeD1ReGBNZlc9Vk53aTtVYkVbRWl5WF9Rc0dDWHdpeF1bdkd3c289cktnVTpxYkNLRHBXaWB1eT5jcmVTU2VvQnlxcWtAWFtRS2FZanNVdHBAcnFxVGp0VWt0U3RBT1lZdD9Qa15leVJMTkR5VFJcXHNDYFFhQG9vVXdOaVJVSFFzdFNIVVNiTU5mQFhLYWt1eVJITHFReUtBaG1qTWpvZHhbSXJHSVF1PWZZcV13X3NHd2B3WF47QHE8WG53UWNHZ2FGeG14T2lPVlxcYF5eRT9zSEF3VWd2RGlsa2dyT3ZkWlFyRXZfPk9mXFxPPmV2RGlid3NkSG9oaWtVdj9VSHl4TWtGR01lPkdjTXNGXFxBdFtXUlJdaGJNVFpHV0NXY2g7Yk51aGhJaUhvSUFvZGdzZ08/VHdpVVpNRT9dV3ZJcnZHeUM9Z0tnaUFzZldDZHE7YlVZQnF1Y3h5RXNDZ2BVRnNJeGhrb0l0eFV4UFRYT2BZSm9ZVXJ0eXM9a2JsVms8bU1EWUhweVJtSlFJbUFVUFpYWWZdcnY8WW5EeEJgamB0WVRIX1dWdmhgcWxoXVhhaW1ZX1pXeE4/blJnZlpQYlVBeF12dnVxZD1WbXhfW1ZpdFRQaFdvbVhJY3l3eXdmXFxZZmlud15QeW95WXNUWXY9d2xoZm1rd3ZXeGhATlpzR3JWbm92UG9dVndHUF1vTltuWHFoUXFFVmVxcGc/eV5ZYGk8eGxZb0lReF9Zc2t5c3lTSGs7V0pNRlR1aGhJR1l1Y1FDVGRfVD9BeGFjc2BXV2hHWT9Ncnl5Q1JpaXVVRmpPV247dFpJdmp5VVlZcnVHYnlxSU53d21nSWJHVF1PRFRdcEJJcHhhTU89VHhtcElFV0BcXHlvVHRmdU93aW07YW1CcGs7QWZCWWxuUWY6V3lCRnBNV2tBZmZvb11JaGtSeFxcY05pZnF4W1hqYF9ya25yb3hnWVFbcWB1TGlaaXdxd2lvQ1ZqVW9uO2Z0dVhaX1Z3Xm95Wmh0WVBieXl3RGdsdEZbV1Fxc1JSP2VQb1g+c3V2VXhia0ZIXVk7a1l5R3l5eXdWSWlta0JIW0VCV3RIVUlHSWhJWVR4X1lzQVJCeXdXWWlxPUZad0lsQXNdO1VzT1hfa1ZHUVl5O0g8b1llaWdZO2Y7VWJFY0VzYVVfS1NOV1JxcXdpX0JQdUI/cWl5QWJnV0heaXNJSXVbd0NQSVRsaXNNXXNWbXZjV3lLPWlqRUZGT0VvQVVgV0NPY3ZTZXltU0g8R3lZeWlBbXZtPURLXXNcXD1IYUtQW1Bqcz1wQmVrXFxYWWY8bVF0T3Ndd3BxcVdFWEtcXHNPWVVpZVFEWHRJdVdaREpvPVFwXXdKQHhyYFQ8cVhzcFxcZGhlX2lbQ0lbQXFddlhmaD5wQWF0X3hleEd5TUFjQlNCQ1hAYWVVaWl1VUhYQVldV1dab3lVZXRkZ1RFU1JBb0M/dXJIZ0VXQ0l5PUd0S3hYWWZBdWM6RVdGWUhJYUk9R1I9THJoaFVVPHhsWXNXPHRfWHNNQHFuUXQ7bGt2bW1QZE9oSFJETXNqXFxPVW1uTWVTeFVWYGVwYzxWZXhmbUdudkh2c2FjeF90cG5acHZzclZuO2Bpd25aQllmVU5hTHlqSlB3b3ZzcnhxZEdrc0Bvc05aUUlbSkZkZk9makpMbUxNeXZXVHJjQWpoSXBabVVKbXFIZHJMPGo9VHlGcXhYRUtgeU5yXFxZO21tRV1wTll2SFlRaXByb3R0Vl1qQXlNWUROO0B4RV1uZ1V5R2FqamVVanFSYXFQUUlXTmRYW2Vub212PHhTV3BZamFvbXBXcF12bXlXV1FxRHRvdlB0O1RNcWxPR1xcV1lFWV9pbGxxVltpX01vbkZYXmF5W2FGXltGXkpec2lWcWZRYHNRXVZXXFxSZmF5cXZVeGI8VkR3dFhVeVRXRlFjaFhlWE9ZU3JteFNFQ155YnFtQmBHZT5lRmVfeWFBckBTREJ5WFNPaFdPU09Pc0V1VWhhckd1SG9tZElZRVtpYnJfWE87VGdDV0NlSTxbRXQ7QmZ3eVFteV11U0Nfd2FhRlxcP2U7QVZIXXZDTUVEXXVSZXVNWVY7YVVPP0dNW0RGeVhyV3VRP0NiP1RbX0dYdVl3Q0N3T1lvZVJ5b1k9R3hNeVNtZ0ZmZ2M/a2h2UVZgXURrSXNFYXh4aWg7V1Z1c1h4TXRLP3J0Z1hlUVN2P3g8VVVmQXVbV0NqQXlqUXZFd0daSWJBa0VCWXhzVVhdZ1ZFcWRyWU55PW5ldXRoQG10ZFhkbFl4SXlHQHJ2QHdxYHVscVlaRXhaYHFiSFVtaEpUaFB1YE1tdXZ4ZUtmXW0+XFxsZWVOcVhMO2hzY0x4XVRsVDxPVUV3UXl3dFxcS1I8WGVMU1FwT1thc01MS0F1b1VAb0xVVVhBTXZpV3B4VGdMVmp0TlxcWG5SXFxzQ2BRYzxRdkVRb0BZSm1Ycj1QUnhsZlRXUEVTTlVxcFhxVXlsQkxXVGFwaGxZdklYcmxyRkh5Q2R5dXlxPHhZeElsamx5aUFPWkBqY1hwaVBVb0hXWlxcVmBpbFB4b2JFdUJwamxRcj9YS11pd3F4dUBpeFFvYUl5dkdZW1dodl9Pcj5IWztQXFxRSGBdb3JaeXBZcWE+a01EWG9pdD1NeHZtd0hlbVhUUDtHbFdBcll3a0R5cHJIX0tWd0xpdlZfW1RedElmaGVxZElZeGFBc2tmbVdodmI/YFlfW1ZodF9OeXc/XlxcdmNcXD9gYU5YW3RCRVZYdURJS3NIX0hlSVhLa3ltbVlIXWRlX1Y8WWNUUWlIaXV4X1I7dXRod0RaUXRFdXM7QXY7eUVaPXY6SVRyO1g6YUJDcXhneXdJW2R5X3Y/b1NBP0lmPXVfPXVuR3dpQXJiXXh1dXd3d2JldWdvcXJcXHNIP1FjT1NyYXdleE1FUkNJWVNJcF1ndkdTc0VFT0tHTnFyP3NEVmllYVd4UHVnWGFJakVUY1FkX3NRPlB4QGVrZEVWQkFsdUlYS2lSZ2hNZElZaE1RT3VPXXF5dHhZVll3QV1Mc2FzcXRXV0VXYUFTZXR2cVl5QURxVmlOXFx0U1xcPVBhTHheQFg7XFxPTGhWaExNSGlRbkVQVGVqZEhNcXlwZmhYaXhNS11UZkBVS1xcUXZBeGc8VW5Ad1ldWXJJdnFJamNgSklhUW1YWVh4c3VpdFF1Sz9sbmNcXFQ9eEp5YHZTQFRYcG9KRW48RWpqbXVoaFV1XFxzUkhQPXRVeEV1WWRYZGFwQ1xcbF5gdj9wanVBUmp0TD15anlcXGttdXNnbU1gSUxLbFRjYXZGWHlVdFRzcHRHQFdLYFNoeHc8cHFLcGx4dE5gcHlaVFBSWEw/QHJabU1pTVk/bFJfXFxYb3lrbHF0Z3BvTEhuUU1MYHh5WXVNO0htaFlSZU1KcEBTVUFrS2x5cklVc2hOaF1WcVxcUkFNTlpYWWc8bVFFc3J4cXNla3VleUJQcHdZeUlMdlV5V2FwSmh5cGNVWF1galBhcWdATHNAWWt5S3JJdkFIcjtYeVFpVXFlTWhpcXFxdXZ0eGtMTER4TGlsa0l5UXlhTUdZbXF0cmBoU1VAUGxddm9AWXZJeHNBT1Y9UXFZcGthUGNNdGs8cExnbXV2dFtfWF1pcU9ic3FTc0VFeDtoUW11R2dSY29yd0tSXltZcXFiU0NEST1oVFlJeHVpeWNydEF4aFtWPk9YT2VSSHdTSndjaVljaHVHQ19pSUdydmtEUz94V1VUVFVIY2xVaWRxbD1TWT1Mb0BVbFBQbGxsSGBzSGBQc3RtUHlKZmBscEBUVGFRY1VwX2hzT0ByWFB3WnVvY3RSbE1xSnlrTWhYYnFNZVhQaWBVZVR2eE1ZV21XeDxQW01yRlxcd1hpV2xVU1VwUHFcXHZjYVVBeEtZPEtmbE1eeHlxaVhlcXQ/QWtLVE5WPHdbXXZORW9MZUppeXF5cVFobHFyUUxmbXV2YE1ZaVlxYU9oVHFmPVZoeHNRPW46RU5uUFdPWUpNcE53QE1iSHZZbFBmSXI6aWpZcG9jVFlcXG1yRDxuZFV2eU14RHBNO0lPVFRuXXFOY2VvPHBwTV1vYGB3eW1MSnlMWGRZQWlxdkx0V1BORGhQSHBxbERzdTxWc2VwO1VMY2VrZ1hVV2VPXXFMc3VUdlB0W3lzXVh4X2h1YmRTUVFYUHlxbXVNTHBueXZpaGZnZnhlUVFqSHhed2BpdHZpU3B0X2lwcFBteGllcWBvPXdmUVFmYFFnUFdhYT5neXFjc2FxeVZzZ3l0O3BgPHlxR0luSXliU1FsVUFoZmFiV3Jrd3hdZUhUO2VoSVdRdXhoYUhvbXZfREtxQW9SeGhpdmlEXnVQb29WQWM8UGddYWFXWGdMYW47P3VuSHNGWWp4XmdSQWBOYF9TT2BGWV5WeXRbWGJBXnhmSWl3bmJJcF1XPltOUXlgYW5cXGdydEhxeHZlRXBcXFF3WkhZcGdXdWheY1NQeHVYcW9udnRpW3dPbnZgdmhIYHl5Xjt4d2NBdUludnB5dXV4YllfZF55ZGxxZXNpcXdYXWB5X3JId24/XFxDSHJWQHNgdmQ7YWV4P3JueWdEeG5EV2dkZ3VwbnBoeWRERmhyeXhsX2lVRnk7YXNtYWFhT3lheF9zSGlOT3V3TnRmeWlRYWdjZmNhcFxcUlZfQWllZ3ZtaUFiWHdhWVhndEd3dkFnO0BaeEdrbnBoTHFTV3hUUWI9QUhfUUd0eUY+ZVldUVg+UXVpd1lJc0dAX2Nsc2RGUXRVb2lTO3dmZWhbUXRhR2hsVUlGTXVOQ0NjSXhvcXJBWWRWP0NBSWlnU1hrQXVCR1lrRXlwY0lrT0lqR1dvR3V4eVZbXXVBU3hOYXRuW1NWP1dkRXJVd0h5T0ZJdXZUeWl5dUZ4PXlbaWY6aVlXd0dWVXdxV1Y/WWNpa2lCd1d5Z3lQU0lxbXc+eVhZaUk9V2VoTVlxc3RhUXR0Y3hNa1Nib2NnWXVRVXZ1eXdhV2lWW3NbbXZdeVNJa3Z1a0hzV3VRc1ZSeVlBRXV5dVNiYXRERXI7YUl4d1lCR2NsRUdmPUhRP2RlV0Ztd0Q6YUJpYXhLQVhXQ0NJcVdKXVdaY1duX2VhV1NYbVJsZ3ZreWZFaXNBUXRkaWJzW1Q9X3ZFT3RscVhjc1luZ3hsSVdSbXRPeUd0R3J2c2JqVVN1SXdRUVR5YUlyP1JUUUhlR3dfaXlUXWJ1b1Q8WXhIYVd2bVNnZ0lReWlyW2VGU1RIU2ZleVdleXRTdVJeWWJFS1VFP1V3UXRweWZ2a1c6X2V5TVJwc2VTY3ZEb0JtQVNnb3dTa3dSdWNHP2VlV1RUZ1Y+U3h5b1Y6c1ZYXXZodVlcXFt3SXdJUFNWRXFEbWtka013Y3dEYUl3VkVHY3NnRT1JWUlEUkVYbUlzYXNlbk1mdUVUbU10Q3VGW3dXWXFpUjtJaj1GeGV5b1lSbk13bkFJZFtUYmdEeEliUz90aWd2aXNpRl9JdHFmQWlUVG1zTG9XdV1VPlN4RGtoZ1V5WUVVb3lCcjt5cXlYRz9zcHViYmtIX3VWPmF5ZkNXWW12a1l4bk1iQ0tzaW92YElyTEtzbz9ybGlTXnVpcE15UEVZRk1kYXlHZkNIb092Z2Vmb2FkcGVERkFHb21WcE9TTWlYbXdWU3htTGxrcWV2Y1l4SUB4ZUFvdFFTZWhuPmR4RXVpXFxhZ1J4eXFYX2tfd0JxakB2eGlpdlJIc2xXdVVvc2tQXklnaVpgY1ZuW3R4XWdBamhJclpvdVJvcVd2ZkZoYHFpYFJYd3VfeXZuY1c+d19XdGBoc0NedVBGX0xPWm9YZ2FxaV53YGdmX09WZGBgcVA+cWlYX3VvdGl4ZVlJbHhpWlVpcXV3aFpRXkdRXj9Pa1pQZF9QYztIcUtpbW53c3d2eFo/c0pIXlJZcGF3W2BwY1dua2hndVg/c29JcVRuQFtDPlN4X1NTUE1WbXF2Z0FJa2FyalV2WUNETltpPGdXRndjUldVTUVGUF1oZ3FoeUNneWFvVz1tOm1tQll5bFhMRmlQdml5YGRXaVxcU1Q9dEtoVVdkUlFRVnlgbVZtTnlha3Zhd3hlT1tFdXhZclNoTnNdc11NWE1YdFttTWd5bHhYTVlNbD15cj91Uml0bUhBbVxcWHdkdXVIYHN5UUpaWFBfYFM9cGpaPVJFaFNhWVNCbGtIZWs7QWs6X2B5XlpUd19Zd2FzaHRbVmF3UGhGV2NlT3RNQWR1QGJZUGlzcV1OWHZBcGJfeGVzUXNbQVxcdVF4dEBpSm9oSVl2O0FmWEFvTz5uZW5lRD90PnFvZz9yWXlxPWZ4SWFodXhkS1Zgd095dkByZ2dvVGdvPHZcXGhudlBRdj9ZbGtYaGFIZVZId2hYcWhRaF54Z2BhcUVYWm9Qd11xckdYckRpbGV2a2h5dEpvdVxcaGJFXmV3Z3hPQXF3cXhVSWRcXGBiWHlmVEZfWW9xdj9mVHdyS1heQW9aQGdzaUBxXFxJcVZ3b3hPZWFwc1NHalVnaVl3YF1vcnZfZXBHdXNHaWh5ZWhobGh2bGt3aXFfc2lAZ2V4aT93cHl5ZmlgcGdXdXl3eG1HcU1PbkpOcnhQdkU/bFBJZFRxZHBpeUw+bW9pbEtXd0V5b1BwbmlAeVNna3BRX3dQdWJJX1JYX3FYcD9vYUFwX3VxbFVJYXdweGFReGtHbE1Zc2F4ZWlmaXhmYUpOeUdna3hIeVN2X2dZbzppd0J2eWhBX3BxX25WeGA/dnVAYmVpXFxidl50b2RUd1plWW50TnB4UW9meXRpeWt1Xm86d2NIQFtxVmpfX15BR3R3bmRdb29ucHN2SHA+UG9zWXRGcXhueG9cXFFhUnhzU1hmQGFcXGRndGRHbWFYeGJRW1RQb3Bnd1RBYXVhd21YeFZ5b3dYaXFRdnhZeWl5clV3Z3doak5hdF15dTppXXheaVJWYGFvc0ZecFFuZXJHWj1wWkdOW0Znc1J4ZHdWaXBhWz5WaFdwd2p5d3lYZDxWW0BmdkBwdFJ4bklXbWJ4ZV13ZD1IaTxHd0ZYeXVRclFvXXRfdXNucGdpaExoXVBZdXBpX2xoZ3FWa1p3aUJQZlBvb0FQZl55akh3ZU94dmVXbDpmeXRec1xcSVpbcWlNb2VpdnJ4bl9JaFt1UG48YF1haGhcXElxR2Z2VUZmZEl1dkhyPk51O050bmdhZ1d5THBrdGloTkl0Y0l0SlVyS3J5d0hEaWlFcWlLa3l5Q2Zdd3Z3X1lXZXZQdXl4a1VTUXlCb2lLQWdbU3l1S1lcXGlzPl1zdUtWbz9TZ293U0hZdjxRXFxtb1RxVUtITEZ5dkZFSnBtV0BMc1ZAbW9ZVlxcZ2V1cHhcXGd0ZFZsY09vUGdnVFh3bUF3X2ZheWd5b0ZfandlQT9wbVFxZD93VGhgZT90c1hoYV9zV1hhcVZlQXlvWXdxWGZhdF94OnlteW95Uz5xQlhgaXZteWFtbW9zS3hvP2dkZmhldXBcXEV2XFxIP3NvP2BRZ2RlcGBDXjpteXZ1ZGFbQmNDRE5bc3FxeXlTWWFFQlhjck9pYlt5R0o7UzxNYkFzWHFPdj9pdXhdZ3JXaXVbaHJ3RER3RHF1WGVLVGJbRGE/SU5jQ1BddVdNQkM7REJLZDpddnlzdlhpVUJDc2BDdWZ3V2x1dWFJZV5dWWhhc2hxc3Z1eEhJaVlJaHVZdWBVZkpVdGFbWGZXWFtbdG5NR3RxU15PdFs7dk9LY1JjY0Ndd0xDeUFnUnk7SHhXVGw9c0Vtc0JrVF9xVHBxQ25bY0I/V3ldaGlrQ1k/d1lLV3BzVDxrYz1NYzttQ3RfdF9BQj1BWE1VdklhVGBTd3FTeW9FWFpZVztxdnVfdWNNSG5ZVEN3V0BVU2I9VURNVlBxaUx1aWdbQ3hZU11lZnJHQmxXVmpTcmtPeHU9V3hlWF1XVllZVnZLdVFnSWBhc2hJRUtxWWZ3eU1JdENzclNXWFZtd1VLZ3F1QnZFZmlVdUQ7ZkNBQmV1ZER1R3ZbSWhHVndReXc/WWpBdlNLYjxPRmhZQmlZdl1ZQ2d1SHNhdGNXWFVbWUZ5dkl5Zzx5dHFpYlJzZ05Fc2pFRkVBWHZ1WEdRZW9DU0ZxVURPeHBXVGFvUz9NYj5DQ2pLVj5dYnFneUJDVkt1VWtPVj9FVlc/WW1xdjtVYnFZcl5vU1d3QlFxZ2dpcnhpeWFHVGlvVWJ5ckY9VVZdVVY/VGI/VEhdWGJBVFFDY01zcklfWHdlaXNxZz9hdXh1V1NfeFNBWHJrVmJxRURRaXRpZmtlU0J3U25bckNXY1BveHljc05dSD9PcmhDSFN3Y3NDQ1t1VXRJYmxtWWFZaEI/dWtnZkNLRkprdm53Q0hTZFJfRVxcbURVbXlvQWZ3eWdFQ2hIc2h0U2htPVNHPXNqT0NIbWg9UVdAV3ReaVNbZ1hpT0V0bUVgQ2ZFV0JBc0NsXVV2c1Y8VUN3ZWNzSXNAcXVfVXdDPXJ4bWhuRXRGbXI8QVZpTUlJbWlwYVdbP3VDVUhRV0Jyc3hMYXlEcUhXUXhpVXg+b2NCS0hfTXhaY1lKUUltP3VKbXhJbWJdUWNlZ2g7a3RjTUl5SVhyU1NPb1Q6TWRqUXdicWg7YXJDV0drO1lqR1ZXQUhGR1haQ2ltdXZyP3lpYXZeYVZuPUVFc1g6YUg+XWRlRUVzS1heS3NOR0c9T0NPS0dSW2lJa3VQZ2JzWXZBeURbeXd5SWJIWXNqP3lvZXdvY3ZeaVNVdWhYa3RlVWVvVXdwUVZkYWhvP3lhdXdWW3ZHWVdcXD90YnVmSkN0RndlZ3l0V3lEbEdEZ1t2VT9WeG1WaXVDd09EdU9oS1loVXdVc2V0RkNIVVdSW2VkanNUYktSWk10PlNSbllpdT9TeVtpT1RVP1lyXVRRZ1hsSXB0R1RYUXhuc2F5PmhVPXhXREB2O2RLeVlub3VXQVBRSHRQY2ldU25iVEBuYnFuXVhraj9sW0d2V051dE53Vl5mRmh5cEFnXVlaeEBgcj5qSHlwRV5mSWdyaFFtc2B5cFZmR2ZzaT9ma3BzZEh0RG5cXD5JdndebkdHbHY+Y1k/eV1YcGtGZkhhbGh4WmZJZWNWZUd5cUpncXBXXndhdHRwY0hgaXVWXztJa2ZvcURQeF5mcjp2cGZHbHVIc3ZYcUh3dnFvXFxrUXZfbmptWGg8QGtRaWs6dmNJR11hcHNTcGFzZnN3SG5qQF5Zb3F2R3E7WXVlR11qPmY6XmF2XmFGbltjR3NZeGF5QHlJeXB5eWxpdmdbZmV0UGpAZndhRmdMYVtZcV5MUWxoXmtXRmtTeWRaeGFaaWlGbm1JeW1dSGY9SWpyUGhfV25jT3BAcHJDRmhWb2k9XmZBcGM9X11EUGJ5UWJhaG5XeHNDZmo8SXVeV114eFxcYGlob1BpOnB5bVhvRV9fVHZ4bnZiU2dcXERWaTthXXNGa1NfbHB4Yj5RZ1pwYF5Xc2s/Z2BZdlVAbl93YWhRW2Bwc1ROZ3BOcUJYXU5RYD5oaV94ck9Qa1tAdlFXaUtpYkp4aj54c2NYaz12aHhpdm1Xd1tIbUVJcG5hb1BQeVNnb1ZvaEVZaXd2dG12aFJYa0dwdGNgXV1BdHFYa3hwZkVpYGlmdXJudHZRdEs/XllHZWVxbGVeXVB2X1hRXkFPbE9YWkxZd1NJW0x5eU9AeWFxdmBfZXZhcWF4dkdHeFlBZUVgclNWYGA/ck5Gc054c1dYYUFYXkFva1pgaXNReEBmZ1loYXVvaFtOd3NgX3ZvZ0BQW215d2hYZzx5XTp2dk5Gdmlgbz9pcV4+aF95ZFZRcW9BW0F4W1lYYk9QX1tfeUpObkhfdUpnXFw8eF9OR1pCWHdmX3l4Z19FdmBGYWp2RlxcaGdkQkBzUEZpd152bUhiVVd2XmdbbHhqeHZ0TWF4eVBbckZqV2BzXUluSl9yUl9jaF5zY3Fuc2dteF9mVkl4XU5ucXduVldmWFZdbG9aZ1dySWdvdFBtQ293Q1ZkTXFrPkdhVUFbaGBuW152TWBsSUlqSUloQGhlQWBvYllqTnZ2VmhrT2hpY1dnZW92cGluc3d0Ykd1TFdfUGBzSEZ0UT9tZUdgUUBicUh0SD5uRkdodElxV0B1QF51dlZfYXh0SHhabHZ2XWZyT0BzdGh2TElyZ1l1VHZqcmBqSz93PkldYlZdVWZ1VlFsVGZoZnddWXhuXFx5aWBgY0B4aj1BcEJuZkVfYk1HcHdXeXBXaj9IcVVYbVVedVdpdVtpdl9peG9hdUZGck9pYD5oY1s/alhIPF1XUUN5cFdyYWFpcmFTR01GRllSVUFORjx0d3BtR1BSSWFXcFxcb2lhTGRteGRMeUhhcUJ0V1VMVXBxU11dd2psTj5hV2hddExxUXV5WVxcaHZHPVd3aEtgaE9nUFJbdVFSWG4/YW1bVVl3QGs+SFlLbVlnZVJ5bFFLQGo6VUw8UW5naFZtUFliVW5lXFx0P3F2SkhLPEB1Z2VqXUlzPW1yUklwcUFRYXR1Q1BsYVVxV1VwajxRSnBvQVRxbUBYYUBUZ1VUUGFNVHhYUHBsd3lWP1FsU0lMVmlTPEF0QVhwY1h2SmlXc2l2SGRsc0h5Wk1vcHFgPUlldl9xQ29bRnBadHhjP0h4V3hlR1djOj9qYFBqXUFcXD9AcFpAXlN3a0lYXFxBQXhqWVxcQHlzSU9hdz9oQVljPUdpdkF5a0BcXDxxblxcUXI/QHRAYV1LV2pJaWpFWW53dmA9P2tVdmBYeXBDQHZiXnlYYWBZSHZReXNOQWU8V1trQXVgUWlWVm1HblxcTUlvPWdzVVhuQXFoVkljPlhdbVBjQFhwdm9eY09qd19uO05iYW9bTz9fXFxfWmBRcU0+aFA/c2tHXFxmdmZLVnNzZnBRQWdgSGE+aGJVYWFuVmt4P2xVX3NOb19NSXQ/X3VfeFxcPW9eRE50PGlRb1leW1JRO1VhP1RQbVZbPXh1TWloW3lUS2RdSXdzaXlqc2lRZ3U6VXh4XURFYURLP3JAZ0JAcVhYYUhPXUV0Z2NAT2hiRVNTR0Rid3ltY1l1b2ZCSXd5QWd4O1lqVUJKRWhjZ1RFZ1ZMS2JfP3htXVhOeUhLSWhoXXl3aWZyZXZQb1Y9RXZGb2VgX3Y/WWNqVUVNZXhcXGtZdkV3RE92aXlXcml3Pkl0a2t3cUdjWmNVQ19pZltSWj1nXVVJVG9IXU1nPzt3S0tXdEFFd1NpaXNScEdEZ1d4U19icVNDbW1ZeHliSFNVW1FVY3NIZkl1WnVCUWNiPFFIUldTUldoalN2WEd1S2N2dWtEPGFleD1mVlFzZGdZR2dYV29iW2tWZFNkY0FkXFxfeUk7Y3ddQ1xcU0Y6O0JCO1JMQ0xkaFFEaXBqXU9zZVFMPG5QaVg+SHBwVEs9eG1MaXhjRUtwdVZLaExqbEtqZXZEUFNFVW9QWHNgSXZhSVRiYW1SbXJUPU5UVExgUVZdUXJWSG9SYUpycFhEPGFZR2F3SGdAPmxIcHFoR3VGVmt3bnBvXmtvX2lvP3RuQHhAZlpTbnFZQHVraGNleGtGaHVZcGBjSGxubnZsXmtpUXZfaWtSeWtLYVo+QFxcYGF5bGl0OmFnYHBkPmhlQUF1Q2hrPUFkU1FvYG9veFhdbD9jRWZ5ZWhjSWVtdWVOd2Y7V1dWdVhjPXVnZ1lNb2dKXXJOXXNcXFtzc0N5SmN5WnFDPWdiZD15dnljUEl2UUFWVEFEUGtpRWVoYGdXZ3VHXXVWUj11XFw7SF4/R2FBeEdPaV5LU1lBVWNfSXBncjxBdndhRkhJST09d2plc1ZvRG5jc2hdSGRrV2pbVVxcS3N2eVZHQ2JoVXNbX0dUPXd2TXVIX0JAaWg8a1V1TXNKQWI/VWI7R1ZlR2I+RXNnZ1VyU3JrPWRnc2Y7R2JAaVhHRVhwbWNpW1lGaVl3ZUNJU3lCVWVwY2dLZVZqY3h4QXVJZWVbWVhtW2Q6P2JKQ1VvVWZMQHNOYWpGZFZreHFqbEx4bXNtaHdJVHFcXGhrTkFLZkFPQWBPTHFRdjx3WXhqY1hzYEBUUllQYGFxVTxYUDxrQmBqc3RqdDx4ZVRPZ3VTVkhLbllOd1RXQFF4UnBqaGxLVlFTSklRPmFNSHhOYVVXOlVZYkBUUk1sWUFXYlRvUzxtc2BYZ3FrSmlYTG1UUkVWWnFUOmVZdERuU1BPRmlOZEhYYnFQRlhVXFxFV1FAUXNYakZ4UHl1eEQ8bU15SlI8cF5ZWVlAV2VEdmZhb0NUbUJMeElAWT9BbD5RbFVBeXNJTVFkeV9RdlxcVFZFeXV2Pml1R2JsYGZDQWxzVmhgX3V1eGhJQW9sQGdjbmRGQXFIV2xUWWhrbnJAT2x3PnR5UFxcZW5ncllfQHBibUldeGd5RmdrX15mRUhxd2lqa2BpQXBiWldfTk5bTT5mSEdmeD9jSWhobFlneFloUj5zPlZgUGhybl5oaz92UWloTVliRkl2Rm5dRF9sZVFicG9aZ1dbY1drQ0liaGB1QUBqPU9lZEVnbURtQ0NTU1Vod2dacUhgZ0RXcXV1c1lAT0Y9bUdTSUVuZXZiRUl3QXlgO2hePWdmYUNkZXNKZUJcXD9SO19FcmNYZFFDWmlYTjtTUndUeW9EVHVSUz9JYVlyQXdUQGVFdUNXTGFjcl14YmFJaHF1d1dXTnFZVGtIZj1jQ1VkYENFb3djSld5bFtEaXVXaT15ckF5QkdYcXV4Rm9CaXhYUWl0S3VzcllZeXRTOl94P3h2SWF0Xl5qRkhgSWhnWVFyVkduSj9tSFZoRFZ4ZV9gald3YnBhY0d5dEdkR1h1cFhkWWhoaz92YHlgcGBiTlFdR3FhPVBcXF9JXFxtQGBycWFXd2BISU15dEZJZ11Ldkl5REBzZ0M/V20/ZT9TQ1p1dUpVdFRdc1dfUkJhRFVZdUJjRmVVdFdxdjs7aHFlZFZvaW5dQ1JBSUc7V0xDWURpWG1NdHV3WG1dZ1JFaD1rWWlxZ0xpRUtPR0hrZ1NXRmlfR3ZNWWBreXdXWWFdVUFFc05DR14/YnZHWW1xZktVeWNpdXV3SGBxc1dXUzxvdHJfVnhnWGVxdD9tZXZDWUZrdXhxdGdXVVl1cm93dmA9Q1lpVVF5dnVLRmlfRz9LdF1Hd2dpVltxZE1FaWxFVE5jR2Q9eXNbWUE9UkI/VFBTSWlFSFE9R05WcENWaEdPeVdvZ292Z1BGc2RYbWJndHdwdmR2akM/d1xcTmp4RmFnP2hCV2lhcGVePmBHWGlsb3JGYlpRQ0Y7VFNVSHdjY2h3dmhNaXBtcm9zQkBVRVJBc2FbSXVpSG11RktLSF9xeHA7UndvVTp3dE07dnZJUnNjWWplSUpfSXc7VFtHWD5ZdVNHZFZDSWw7Vm1xdkM9V09RWT5rVXlPeE5nR2lPWWxJeW15QnJReXRFRnhdWT1RREdjZkhlZVVdeWFBSE53dGl3VV1DU0xfRktfV1tXZU5FZ0xFVlJBaFs9RXRbWGJHUlVZSGhvZ2g/ZXJDWFxcR3JVWUhhdXNEQVNBdVJBdVZyV2lhbUhydUlpb1V3O0NrQ1hMdXdnUXNPV0c+Z1hlcXJVW1lWQUh2dXRcXG1XeUVIYFFDP09ydjtldXFXWndjanNlZG12bDtFQV94ZHN2XkNJW1N0QnNHXFxDVnN5ZE9PU151VUJhdj1lRWJdY1dRV3JpaWtTZ0ZrWTx1WG5PV3NfV0BjWVxcQWNHZXdLbWdpcXhwbUJ5YVRVaWNAa1VNZVlzSWJAYUVjVXZOS3lAaWY7a1lCP0dnT2JzRWdLVWZOa3dZWXVAZ1V1b2NdSXRdc3NCZVVMbVV2P1k/R0Vta3RDR1hpdXd1bUJFU3hmRXVedXhIa0lYSXY9eWJLdWl4ZVk9eGpTXFxQYj1MdlxcUXY8cF9VU05pbWZFUVV1dmRpdGVoUmBxU109UXI9VFA9cWxgVmNEeHdodltdTGtReExIeGxJb011Tj11b1hlU1xcZFVZWFZEWUtPTHM/UFBfTUtCWFhrRE1ZaXJSWE9bbW9KP2NmRl5GWV5deVpUbmNTSHFWbnI6eXdnVl0+QG1YYWM9d2hlZmw/cWFbYWJFZ2VWPnFxcXFwUFxcUHFtYHhkTGF5XW90Zm5sb0lmS155a05rZVlna3ZoZU5xV3BwVlhoRFd4WFZ0Onh1VUFaVlFiR1Feckd4Sj5mOmZ0Z1h0YFdwVEdwTF5eamdiTXFueVl0ZWdleXd5aT5tbXZmXUBjXld4bkl3T15mRGFmUndqQ2FeQ090XUZlbGBvXl5iaUF2WXhpeElgRD9tQVFrT1ZbZXF0Z1hiYXBjV2BqQnF0UXZcXFF2XFxmQGVrUFpvUXc/X3Y9Plxcc255eHF5XFxQaDthdkJJZEtBb3dnYXVvaD9feWlAZWt5YkZuXVZxdGJoaVNmcnFvb2ZOX05oYltAZEJfc2Recz1Yaj14d3I+YXI+aHBZc25JXFxmcGRAcGpfbnZmdmpLX19GbnE8T15MeG1iYG1RUHl2PnV0eWdbP3BHdnZldnBTP3VQVmx3YHNTYWZUaGRZUVp0cG8/PndUT2VrVnJBaHBrbm5VZ2pfVnJWX3dGYFpDR2NWeHM6bl5vP25FX3k7cFpkYHlGSXk/Pl12UHJoXmdOZm1WUHZCQFxcUlhvUXd3W0lzTVZ2THB2YFlzcVlcXEheXVJIakdXbXBib1NXUEt2QGlIdmdmU0lzQ0lDZW9UZ09GO1VVS1NGQF1jSkNVO1VGXFxPVW9PV1JfSXNNSHg9eVt5Qj13S0Vxc1dYUWtxeGdgcE5kdm1NUE5seGp0WWxhUmBkbEhZbVFRWU9kUDtdUGxlVks9T05sbj1RTGl5c3JodHZoUz5Uc0VBVVpgS0BJcGo8eXJEa0JRdG5seFJwcl1AdnVtbnJRczxBdjpMcUBoVWJdaz1QUXN4cE90SjpxeDx0clZ4clJdU2tpVGx0bDp1cGhYbUNIdF5Ic0RcXFhTQEtGcU47bU0+ZXhieVBpZHZyQXJfYG5qVHY/bXF3aGxzSXhBYXU8PW1ZWXFhXXVFYXJcXGlyVUVLW215ZGl0ZUROaGVrZ0VxYE11cGhXRXBuR1VtXFxVeGBpc1JpcGV1TGhkVXRgTlZUVFxcYXJDWGpuSXdNWUtFXXJgZFNUQG5iRXRcXHBSWVRTRXBwT3BRR01tdkBTUXBvOkhydUl4bmFxO3hTWWBubVhzSXhRYFFQQ0V1RmxSc1BwYlxcTERkTVJRamp0c15BdlpBbHA8UXI8eUNoSkRRVnJEUHdUbmFIT1I9TWZJUlxcYVlLZGtvVXRGSU07VXRlVVZodU5UbVlqVG1kaFBVYXRrPXdLQW5vZVFxRVhaaHJaTVRvVXZeYXhNWHVuaU1WXFxKbmFtW1V4U21MRWVsRHlrT1hPcT12Q1lsRVBycVV1Q0lzT0Fud2FuSXVVQj1rU3luSXVPXU11bkhXYERMYGFrbVhwbUxVbkBXW2xKbVVYdXF4Z11XWXFxV11rUUBPS0R0XWBObG13VklsU01WV2RNXVVUP0xycnFsdlVuSmVPYFFLP1BSQWxsSmx2QV14UnVqVWVzUUltdUBORFRtWnlUQmFvY2B3ZW1tSnBKcEhRYkFWT1FMU2VrSkRQYHBOUTx3dHF3ZVxccV1RdXNVa3NwbExhTj5lcVhQSnVtVEJJd2V4Tjt4UXh1SlRtS21QV2tQTl1gV1NRUlxceVlaPXZRXFx1dkhZQkFvamlrZGRUdFlWP1FrcDx5cXl1eUVYXkFzS1xcbGV0VEhhVD9hcEJ0cXlxeXVkVUFAUnJAcV5cXFJjUXRAaXhTdHFwZXdZRHhZWFVFaVVXZW9WQGpERXVfTE9OTEtXXmpqdl9TRnlkTmNSeHJSPnVgRnBFWHJCPmhgPmRDV2VUcGVaTmVNWWZWTnFWPmRGaGhPR3RveF89X1p0aGdxQF9BR2t0Z2E6dmdMdnZhd3hDSXddV2U6dnhuPmJvcHBQZ19QX2JqX2tzb25GR29rd3l4WWBWR3FsWHNiRmZYX29SV2hmd3V4WV1YZ3F0eF9WaWRIX21yRl50VmhUWVpReF9Zb1xca2d3Rkd5bGlhPkBhcV5cXGhgdlZ3cXh4ZUZ4ZGdQZTxhXl9ZYERAakl5dUBpbGp2ZGJeXFxUXnNkXnNXXl0+b3ZASHZ0X29kV3lrb3ZEVmQ8cXVgaW1bVmB5UHA8P21IT3Z2YGtqcGRGSGQ+b15SaG9TbnZcXHddPGljeT51QEdoTmBrbXZxZUh3Rkdxb29bQ1h4TkFySVB5c2ZuUldqVGhgRVdbcW9sRXhcXHFQblNXcHNeaHlmYGZZYENoXFxFSVxcb093RnBybGhmZ0BodGF4Y19fV09xTj9xZUB1dF51S1dwdXd4aEFbQj5bOlhtVU9gTkdvTHlzYmh5V0Fxaz92ZV9pc2dzVHBgakFzc3FjUlhdWElfUUduSl9iaV5zV1FmWHFtQGZpdD91XkleS3ZtTnBnPlFfY2FjRj9qV2dndEBhbnFycVZhR29gU3B2VnNZb3RlW2RvO3RRPVdTVVJad1Jdb0RtbWI/d1NxSWc6YXJwPXJFeXJsUVRmP3lHO1NWT0JCUWRZUXVfV3RDVWZAZVQ+P0h5VXlwSUloaFlGRHVtWE1YTGpMXXBiVUt2WXlpUVRWUXFvPVVuUG1RRW9MZUpTVFBgXVBXRVZHQXJmSXVtaFJyaUtNQW47YVJyUHFUbGxaRFNFSXVtWE0/eVl4VUxbZXhIeG1GUGtrdFRiXFxMdDxQVUBQYURuV3RteGlrUHlYbz1Ta21wR2FVX0lUUkFNRVRqSVRscnR5VXByZEFXYGF5SFV0VVFWUFh3R3RwTEhXTVxcS1NNTnM9bHhYeVtJWUtBUFtJa1VNTlp4dGZET0h5dXVBSlltUT1UeHVJSj14VERBdFBUTV1gWGNRSkJVbGBETVhwUW9RckNYTEVpa0xsdlZATWFoUkVIeVJ0UGhAUFhhcXNVTlZVVEhoTXVsVk5oWVxcSFFbYU9ZWEpBbEtOVHZzTFhOPVJDUExnZWtUeW1ZeG1pbHNXWHVebHJVdFBoUFZUYVI7bWpMTHA/YVFIaFd4bUtEZGo8UXhSWHhjV2FzaW5OYWtJcWpGZmVqT2taZ2l4d3BiYGpzX3M8eG12aGBiP3ZgUV5ISXBHcXhDWGRmUGVcXFZrTE54W19dT3Fka1docFBuQVdwUFF4SmBeSXdeVW9zYXhoTVByVnlsPk55RnFdbEZaS1Z5WVh1SkZwXFxHYVpgZXNQcnJZdkloYV5OX3lhXjtHYVdGeFxcaV5wPml5R19Nb3Y+V3RgWHBrUGdPd1pWSGFtb1pXWGFxb3JsaXZFaWc9X25AQGp3SXRzRl1Mdl5PTmtZdmFzTmFuP2VlX2hTZmF2bnRNcXl2Z3JyeWN5RnU6P11FVng/Z2psQF9OTmtqQG0/P21NaWNOaGFkWGllb15ZWHQ6cVxcQmZqS0ZoQT9kVUZxVU9fZm5yPEF2VT93XFxBYFlwcnhvdEZJXUBXdEVpYkFGdFJGWnVQYmpAdkJGdTxoZ0Nhd1hIdmd5XlR4cVB3dkppbFBZXjpoZj1pdmN3cXZPWkZRbnRGZllpWjpfcT5udGhmbVpxeGd5cmJ5dXlPYXBoZ3VOX2B4YXlDXFxBd0tpUmJvVGc9ZEtVeWdjVGRnaWpfQ15xRHJpZGVzVDxpdVdpRU1tZlJxU1c9ZXdBdGVvVGdPRz5JWWZBdWtdYmJzU1I/SE9HVHVhdlJleD1zQmBtWVdvZ1BlZ1FrYkhjV0FvaXdgam1WX0ROZk9Oc1xcQGRiXmhaT2hbb3daVm1wPnVrV2J1d25TXmNxbmJZT213T1pLVlttUWJucGtlZm91SXJOaWZMP3VuXl1oYXREcFpoT1tGX2I9QWRUXmtlaXZfd2BqX2tzWGBHdm08SWVoZ2tmcW12eG1iP11AUVxcVFBuT0FqcXB1OnFuU05odEl4Zz5mRHdmWnh4VldvcGBteVhpcUlaXXFyZ2Zybkl3eT92RXlsOk55clZmPUZoY2BheHlfaz94WmFfTm9vVlldSHBrS2Zxcl9rVlRFaWJyVXFhbG9YZXVHSG9NdW5EcGxjSW1tdFZUZXVjaGo/QVFhVUt3cFl3UVFyWVlWUW9PUVZeUXNPRXViaXlsWG9HWXhhUW1uXFxMSEVPa0l2PXhOQGhLVXhqX1hTeXFyXklzeUBueGV5RHBSWVRyWlxcVGF5Uz9QUltYSm1dUTtIUT1cXFJzZXNyVGtraXRbbHJdTGo/YFlrTU1IPG1bYFNEVFU/TXVhbHlIVVZNZFBtTVlKYXhmTG15QXRUaHJsYE1WaUxdXFxRW21vP2F0Q1lqXFxUTkBAaz5QT2dkVmZIcVBZdnZJd1c8Vmx1Slp4dkY9Tj9tSkVwTF88T2I8TWVsVGZ1TjtBUVFsbVhQbVFsUkNUeDxEV1VESjt4TTtYTXlYbFJwWWBMVUdZT1Bdd19ddGtAcV9McUV1bHlEUGVtVG9ddXNYWEZUWGBhcztZa1F0T2pgV1NRUHJIcXNIbVphV1xccHM/WEtRPFRhcFNXRE5ISXl1VXVySHhuVG5NSEtrXFx1VG1zUEVsPHR2TkBSaEhsOnhzUz12Q3lVcnhYaUlPVFxcUFI8U1FZcEJkVD5QeVxcdFV4YFdAdU1pTFNicExtZWo8RV5gZlxcYHFbSG5bQ0F4Z25iUlhwYV5oRW5beFFnO3hcXFNAYGE/YVZoYkNWeFJ4cmY+cFp2WkxZYnBZYlJWW1NRa1hWWlpHXl5pYz0/bFhWd1RPX0ZpXkBGaz5QaXdGZWNQWnV2bERJZ0hWZ1NAYjxAcF1BYVp5akxvXFxjTnJrWXZ5SXZReGVgVnZWSXFVTmhAWGhkRl9CWVxcYEl5cFBkPE5deXdoT1ZpcGFjOkdvTGd3WmF2Xl9tOnB2Rk9ud1hpaWlyXFxoYkdHaGNRdHBeeXN5dllQcm1eaV1xckdAc1V4YGlIZHVxa2RWW1BeXzp3bXhmaVp5dmF5XmZoXXNobnZgZkNxcGBGdXFWZUdvYXY/aVBvY15QeUNYWnFJal5SWkNUOz1ybXVHalFWaWtDWFt4OkVyPGdHSmloZVVCRk9FT2lCaHF3Q19TbF13QkVUV3dJT0tDPzxtdGhydk1NXm1SQW1WUERXbFlTVGlKbmx5PGBqdWlNVGRzVERycFFPSGFRYExwajx1SWRVVmxSTEF1bGVzVnB2bmRRT3B2WV1wYEVwZlRKRXBWSE1tbHFORFh1U1hQRmlOQERLbW1ucHVQU1RVSElWZ1xcdUhAeGNpUWp0bnFgUzpdVHVYT0NIUW1hWEBoWXVxeHdMWXBhbUJoUGVtWEVJTWtYdjtEb2VFSkNRc0NBTFBAbF5wb11cXGpzVFVhbHdTWXh1THdOSU1lXXhrWXY+SVg7dXBoVW1DXWxxeUxbTVBxbFdWQVJLUE4/PVBaPXI6XFxLUz5bXFxpckV4Zm5JYFxcTmpJeHRteGZJX11yPl5VUWZWYXVWSXR4aHlkX3ZDWWRHYV51eVtCPnhBcXZHUXRTaVpoRmc6YHJ5bmlVP11FcHFdSW9DP291WGRfWXdjeWVCTml3b1ptcXZ3SV90TnVsP2lFd3JIaGhHT2RAQFtLZ215ZlxcRGZqSF5jYF5zQ19obVhxQFdjR2FeeXhrVkZvXWdwXUFrUj9tUXZud2FyW0ZcXHlpXjxoaE5GdE1uY2l5dEFwanY/bDt5dF1JXldWZVxcP1pWUWJxcVxcdGlwVHhqQGF0PGZtaWZpbm5oX0dbSVBzZ15uXVdzTEl2Onh1QUdfSnloTWdha3FqQT50YF9aSlBfbUhjSXZcXEo+XFxCUGdPUWlcXGF0Y1hfSnZtQU9wbGBeTlZnTWldc15tUEBoUWFbOk9sXFxBcmVZZFJ5cElvanNfXklvZ3Y/dz92cEp3YGNPYD0/ZWtOcFVXc0F5a2k/YHBfd1Jfb1hncVRWakF2W0BXdXBoZ1thd2ZhZ25JaDxPeGpJdj1PXFx5WGxrQGlrUWZ2b3lmZnJjb3RmaG5DX1tpWGJcXGFyY2djcF9td1d5YFByRVl3SGBtQld1UnhdTEdmUU9rVUBdQmF0O3BveUdpdE9nZ3hqSXhzXV5oZGFgUG55eHltS1luQVdmTWhsP3deO0haWXFyXXdyalBzalBiW0BbUVZsQlZoTFZ0VmF2cUBgPmFvaGFeaHh1ZUFlT1hwP19iTj5hQmljbl53WFFoZE5bQXFrRXdydGFdc1FtRFZNPUVWW2Joa0NWSXhtdWJgbVNvTWVoU1NteWNUVWhSbVxcPWFfSHllVUZwSVZkP0luQUFqSHhtW0lsSWBya0F2T154V19dQl5heT9eYWl1YUZ2dm5wcz5kZ2hdd1deVVltZm5cXFJYZWBnamJ2a2dRW15XeT9PW2lBc0JXZEk+eHNAa2l2ZXhGbGpvd0ZwcXd3W1Rgc2RBcFpHcnQ/c0xobl5AZ1tvYW9PZ29AXFxJaXV0aGg9QW1rVmZCP2BxX2JFcWxnRmxnVm1baVxcO0ByOkFiS1FgSHFjal5dcFZ4X1lrZldpW1d5QW9nd3lfVW9wRWZkTF5jUUdedkd4XFxxXnBfd1JWXmE+YWZnXjtvc0J4YGpXczxedl5YdUl4dmg+dlNxYEZGXWx2bGRmXm9AdmRRd1xcT3BsZmpbXmZyUWM6UGk+SF9OTltDSG9YUHJWTnJcXGhnZEF5PWBqbHFram90TXliXkdoclZrWE9yVnBdRF9tZ05oZGZ5WXZjQWFlUkZ3QEZ0Rk5haWFcXFZOXl5nd2w/bUZoajtZYUNfa1lWcnFAbGBIW0pIa2FQZjpeX0Z5dTtvaEdBYEBWZl1BdF0/cGp2ZnJoZnY/d1Q+Zl1hZFpBdVBGYWk+anhWbFdWaztYaHVBalBYcjtgbz9ea3hecztYWmFfdkJPa0RPeUNQaGBuX3d3YkxxdEFuXXdJXmw+aVhOYW5WXU9WX3hhXXNxaHRPbFpGYkRecGV3cExmbkV3aE5mXWB2Z1hhYUJ4ZklxbVtfeGJJdDw/blFeX1I/XFxPWF9Rb2JzUXhfaWJWTmlUYGBjT3JnQF1qWHRFaW11dmhqT3luZURJWUJTeXF5d0F3ZmF3dnFXVENXd2RbcnJTdXlLaFFFaWNDQ0RLQzpReF9pV2JZVm1ZZkR3Q0NTd25lU29ZdUp3c19jVkc7cnVBSXZlWVlFcj1ZdlRjZWVFTmdUdXFdckdEXnV5aW52dWtfXFxEZmpXR2ZuWWRScEd5U255Z1dvVkxZY0B3VTxZVVFfUl5pR1R1ZWlxc2NTclV1QkxdZEdtdF1BaWhLZW9BaT1BVj9bWVlRVlljd1tXeGFZV3hzYnh5SFxcV3d0V3NUaXZrQ0Y9PUZZYWdqY0ZDPWdRUUY7cWlXUWU/S2hGW0dqXXVbY1d5WVJIWUhAU1JURXRPWUdvXXJvbUY7a0lGO0dORURSVVNvVVJpeVZsbXlteUI6YWRITXRkRWR1Y2Nga1NbPXhbO0lOZ1JaTGtxQFZxUXA6WXdtQHJ1WVVyWXdpSHJCSW1tUE5MdW54SXJaUVhiUU5VbXBsPHdVeXg6bHdXWVFDTW50bUtobFV2WU1ZeFF5PXJzWXhhaXJqRFdMYU5rcFV2QXlrSWxoZFV0RHZeUXI9PUpPPVZYeXF5dUtZdE1ZRHRcXHFzZ2B2W01raXFtU2RyRXhwXFxEclVZanB4U2BNdGxVV1NJcF1dUGh5dXlkT2E8cU1kV1ZBT25tdl5FWFhUY0deaXdha0Zpam0/a1JueUlwcWBpYVB5eF5AbmFxYkBXY1g+ZFtXbD4+bHA/aVxcZ3c8P188UWZOQGBheF1xdnBMWGhBaGFnWWx5WFt3P3RYSWxmb3JnTm5HUF5Sb2VAcHhVVm1wWVxcU2llS3htSEZdYz92YHBqO1FpTnZgVD9yW1hhaG9naF51Y3BgQXZjQUlrXUFxa2d4ZEl0PVBlb1Bvc2F0RGlibWZbRUZjbl9bc0l3Zm5ldU9zWFBla2F1YFdeamFsXU5mQUlbSGBmRVduY1hkYWBlanlpeWl1THZjbmFkY1BsX0hjS1BeQ0BpRV54XXlrc2hzdz9nR25vSkhjQWBwcElrYGFzaEldWEZgdmhydl5ec1hjOlZecT5aVXFcXDp2WlBJaE1fb0ZoYXlmcVU+cWo/W2JQdDw+b1RxXFxqT2t0P3E9R3dMaVo+P2FFXnFjcWhSYHFMRms7QV9Wd3g+R3lDP21ZcVxcW2ZfbXl2cT5ySkluYT92XFxRbGpOc18/a0Zgc1NYY0JIcll5eXdAXFxheXRoaHk9WF1xbltMQHhQeHNsd2VZd2VUeGhnTnJ3P3RnYF1jWXRRXlxcTz5rdkl5ZVd0eFFjVGhgTUFfdW9saVF1X0h3UlZza1F5aEhdXXBwPXhobm9heG9tam9ocE9iW1Fyc2BjWG9xaUFjWnFdXFxBcVBmc2NwcEBRbEFWZFJhX3ZZYkh3ZmdRYmJKcklPRlF2U0x0XWBVdXVYU0VTXFxNWUVwTVVwTUBdcjxhbVV4UEREdFpJTDtJcHNobHh4Wl5BX3Rudz1mYUhYZ3FBdHNXaExubU15d1l5aXRRXWZJeV9ZYzpYd3JIaEVxdk5Rb09vXFxDUFxcP3lwXFxHd0Y/Y0lJdzpBbWBRZD5maXZ3bTtuXXVxeTxHaG15eD1mdXRoaGRIdUlIXFxzXnltT2lWTmdYaF4/TnFMbnZZSXJbcVpHVnk6ZmJkUGxWSF1JXmFMQWVUbmlwWWxQVmt5cXlnZm1VT2NQUWtMWGlFV3dQaWA/T15beG5JZ3E6eGxBPmpOaGRddnViaXl3TmlOcGc+QnF5aUhRWXNReFBrZGhjV0Nvd1d5aFRfSEBVSV5bV0dBVWY/VUVDUFhlcXQ9T1xcPXFZXXFyaE5WTVZSPXF1SXlzUUt5XVhYdXRTSVF4TGxgZHNCYGxjVFhcXGRYZGF1bmRXU2BXZGBVYGxxUFxcd0pZc1R5UXI8dnc8WGddU15pTWVlcD5UVD9Zd2txUmtMdWdYVT1cXE5IXVdgWXljTXJKTHJWeXZfSFlJaG5KPU9mcUpdbW08YXdRbVVYVVBIeVNEQFg9PVU8RVhSdWtvPVU/SHdObHZebFNTYVZxZU9eUHFacXRHSVd0bU1RcW9bWHhgeW5EdG1pPW1YPFVxdFd4XFxSRXBMPUlwZ1V1bk1ZckxVcVRZWUhTQlVsR21qRVxcbVBBdUJpV1k9UjxBb0RdS2ttT1pVTXFteWJoWG9pbXBkUmxBTk1td2FsSktITnE8UG5lUGpNV0FkdFpxdkxAbExhcVJcXHZmSV5JaFpwWXRnRm9od1taQGJzPndtZ2NzWGRbeXd5eHg8V29QV146eHZ1RmpeaF46QGFbQVtSeXN4PnJNaV88SWw/SGNKQHJHVl5Bb2g8eGxRWV1UeXJEXmV4YHE9Vl1wXnk8cGZHcXZSQHdeV15gRmdMYVtcXD9zV1h5eW9cXHNubXg+eXRxcT5hd1NpYD9Yb0ZfcXJvc1JhcGNPbEI/dW5IaF1xYTpZd0JmZXV2W0doXFxfR2l0QWk8SXFBT2lXblp2cW09aWFTT15GQF1LSXN2aWpIb2xgWXVyeGZGRnNhcG5KP19cXGZiQlZoTGZpVmlmdz9hR2ZyWlZpWWhdXFxIZlxcP2hqcHdmWWtucGlRT3lRWWVtRnNXSXNVUHR0eGdvYWFgdnZVb3ZaaHNOSTxhSFpHVk5vY11RUGxQVV15TlJ0Sl9pcFxcWHZUVHVVbXNoPFZRWE10dHlHQUthXFxXYXV0aFh2UkxRbm1LYGxTbmRVYT1QZVBUZVhbZnFhY0dfQElgeHhiQz9tTj9gbWhpU2hzOklvOl5oQ1Z4SkBtZWhcXFdhc2tncHBhW3FWclBAXmt3ZHJQYGp4aE8+eElRZ1NRaEhhYXl4W0Z5d0leZnhJWmJ4Y3lIcmZnalxcZnVXV2tQZnRrdmhocWJjcXM8UXJ1VmZiVnJkQG5pPnJFaHleTnVicWxRXnZJQGVrUGZbWGZBUWFSVmBgWGFMeF5JX19saGpYSXFtQW0+P3c7Xl14XmFRX3Jmd3luWWxodmxUQXdHeXJJcGFcXFZrY3hsUWllS25ebXBmR0FdTndvWE9kRmZ1dXhgPHd3WFlkakd4XFxpX1pJWF9ycUl0akdzVT9lOndDbmFUTGdVU21yTGl4bz9zVXlyTklGZjtJc2tyVnlyRTtTXm1lcldZP09SW3VJckt0R19nXmN5WVlDU2FTYWdiPztYVUtVUFliPkN2RD9kVTt0dm94bnlHXlV0RkFSVHV2Rm9pQVt2Rj1mbndDdE11WmdYPlNnX2lmb01zTFFnWWVVVj1XdF9Cd1l5VW9CeFdYa09lYnVTRXlXZVlZVkFXPEFIVDtpYXd0SU1pUGtTVF9oRF1mT292QWtpV1lkZmNHSm1mWDtYcnlTc2NpZUVjRnNEajtGWHd0eEF2cUxyZWVQSWRrY2hKdFRLR1V1R0RrRFxcS0ZMckBoS3lBa3FgUltYUVFsTkdNbUpka1RkVDtNdW5wbm9FeUJUSkF4cGplckt4cVlgTXltWWx1akZ4UWFtd0tAc1hQdFM8c1FtSmI9UjxkUV9tbmp1WD1RTmxtdkZJSmJsVEZgSnNZb01QdFB5T0ttUXNAeEdJWVpnY15eeV9fd2tHdWxoWmtWZkB3aU5eX1JYdmVxeGtQZnM+Zk9Rb0tBaXhhdVVfZklmZmFmXFxBd2JhXmRlcFxcXU9xVmFpT2Z2SXBdV3hcXE1ZdGF4eD9ncXRnXFx4cF9pdmRoQFxcSHFtV1dqX1hjcVBmUkF4cz94cFFpSF51U2hiPGFhWWBcXGJxc25pZVtxd0Z3a1BJdFFYd11OeGF5c2BHbV5RYkZYY3ZHdTtAeUdwclJXd3hpZlpAZj9Xc1ZWRVtMUGxXa3R2SFltdFBqaUFxRUF5bE1Zcl1MX3h5VnBRR3htUmF3bWR5VWxxY0BqT2FOSHhWVDxYVm1vQlxcUl5cXHNTaFRUdHZLdE1UTHVMQXRXdHU8dVdybG92VWw7dHJvWFdiYW09QHdUQFhMdE50TWs9dVZJYU5IbWtLWFBhbVJteVhWTXA+ZFB1THRTcFdBXFx5Y1lvcXF3b2BLUTx2c0VQPGx3SD1ub01XanRScHVzakF2REFSTDx1XFxNbFtoTkVteUB1eGhZTHJ4VT89cWVheGdZUVd0eXV5VWtdd1hpUUVdcGpUbU9gUl5Md1R1azpMb25QSnBgc0BseUVEdkBUWWNBTWpldj5ET2RReU5la2BEblh0UWtwc1ddTGdMbUFkdXRoUD5heXNhWHVUcXV0bGhRcWNJU1pMdHFpdVltclZ0VkJBbExQT1Z5cUplal1QcEhxU01wT2hsU1JJcW1tTmRsVGZRa215dmk9VkVxbFs8eHF5eTpQdW94UlV2XkVXZTp5dFFZaz5HaW94b1xcYGluQXdoQHlfeWxgR2ZQWXZqcXFIaW1lWW5rV3ZkPl1tbmZDZmdtcF07dmdpRlppd29CcXNbeG1jcXVsaXJBcHRFaGNZWHJKV3NAWFpgd19uaV9ed2tNSGVjRmZoQGQ+QWlSP3dgd2teZ21oP3ZORnduQW9aSF5eV2ROVms9cXNAbl1RaGpzdmBxZ2JuYXhhV2hZWWp0bnZpZm5bX3A7eHJvWGlyXmZCcF1yYHVeWHJrcXZbX2k6cWF3T3hBZ3V0aHlaSXZrUF1jVmRgZnB2R1pHR2M8Tl95Z3JgT2A9Vl49SW49ZnZUTmRvTmBEbnhhb2hFdnJUWGhXQW1Hd2pGZ2x2PmNZPnFfeWxXd2NdTmhuZnB2Xnd1aXVjWGxgRmZGVmlNV2FfQFtVSHNLWGF1SXl1R3ZZeGlIR25QZ294TmJqUGU+YGRTQGpoWXRCP2V5eVpmb21fdnltRmI7UHhHeHNjaGU6Z3hwT2B1QG9IYFo/V2Bhb3hRTl50R3I8aHNCTnlyQWNGWWhtV2tBSFo9TmVLQXRUP2tpQWtCP21KaWtISWloTm9Rd3dfXnFxSHVPYHJBeXZjTmVwYGViTmFeb2JBb2V4YHFHT1p1cHJRYXNYWG5AZ2g7eW95cGJWR2dhQXhOSG9NV3lCRmxYeXF5YVtmQXU7Z2xheFtxYXJsYHRjaHVrQGdLQWhOQF9LeHRmaWZ5cWtWZ2J5SDtXR3BlU0FLd0hBVGRsd1ZJdWRMeUlZT1xcbVBVdXBYTFJZcFFrTG5lbFVuSFJZcXNZSG53QHFoUHRqWUxDYFJ5VFJITFNVaXFcXHhKS3Rya3hUSFB2YHhZOk1VbGxyYll1R3BySWxtbXBWZmFqSFBzR1lsYXRPS0FuO0FKVkxRbkBMa1V2VEl5PUhxZFVNWkF3WV14OmRZRTx5dz1KcEVUd2Bva3VRZXVsRFFSanVUREBsQ3hSRmhTWFxcbmlcXFhXaGpydHBXQFlRcVdXcVlRWE5oRXU6YG93RHdVdU1ITW1yeUxBXFxqbUVLcUlxcmV5dGlPTGBOa2RxR0BWcmBWQ3lLRlxcVTxcXG15PE9VPXRZTVdmTGpzWVl1aFZIPFhcXFVNQ3RvO0x0QEhQPkRYXFxBUVxcbXdWSVJSbFBmaHFKbHRIcXNrRVR2QFlYRU5yaHg/WHJybUtWPFU6UFFvTXlMeXd4YU9IXW1SbWtRdW9YPFRfbVY9SHV2UXJnaEpVcVBoRFVMYU1ZbFF2UExPTG1jVXR0QW5xdXdgUVlpdW1ddFJAXFxXWXFRV3R4aGlRP2luRXVwP0BWaURVbHRtb213T0hZRVV0TT11S21Oa1B2SnBsVXRWQl1vUVRQQ3FvbVxcVkJlVkxoeWJcXHdVYFZDYVh5aG9NPXVobGpyUHBqSFhnZVRMdGpAYXZJdFZQSE5kTXJ2RVBHZHVuQXhxdGtLPHRvPXVFdUtfbEtgZHRTYGtjYXJDWFNiSXRdTU5QdE9YbFdbUWxTQE1RdFBTUXVySFdAYG14THBDcHFvXFx4SmxTTFRMWExRZlxcc3JwdV9Yd2V0V0JfeGJEV1VlP19kTT93UnV1Y3l2W1lSR01kWV9UeWNiaUtzU2tzXkd5XFx1RWppdkdreXRZd0pndlxcaWJ5T1JRQWlKY2Rbc1lTRXVUbWlNX2J0eWJxTVhLWWNBPXJGcVVMSVhiR0NPbUdXcWl5PVZgb0tTVFljWU12XWZdeXI9cW13VnBLSW49QWdmSGVtWF1xdmdYTnJySGg/SHdUXnk7YG9TV2NVVmhMb2A7P2RKP15wd3dYdl9cXEd3PVhqPWBiP25qXV93c15zQUFcXGx2ZkhXXkBWbzx5dTtgcV9fbmluYW14eUlWbENWaD9QYlt3bWpAYHlAYz1wcXNubnNGYUpnYWhHeHBGcmtIdWpubFVwYV1Wc3Nfc2lxdEFYdGt2XlJAdlJIdEROcWBWZEJfbWF5bktxbHRwbGlGZWxoXFxzWXhhd2JJcW1wb3dgT3JoX19BdnQ9dm93RmNlbmlLaF1oUXVASGBnSWtAQHBKcHZIQG14RlxcZlhmSEdqSGlvb2F3Y3BzZ25va1FeU3d0dmBaPj5ndHZkdE5xQG9xbFhGPUNteUhpbXVTd2hKRUQ7SUZeY2RUV1NRc0RwV3l2W2lDbWJwP0hhbXg6c3RIRUJHcUI8c0lUb3RsPWRVZVlTXWdsdUZTaVhlcXhMaUhyXWNjU1RESWZAZWNbXUhGc2JdV1ZWVWRYc3NMPVl1dXU9UXhfaVdqdXZIX1NEW3N3eUJwdXdYZ2NsaXZdU1l2PXU7Y1ZVW1lNa3ZRbWNFQVRia1l1UWZKPUdcXF1GZltzU1lmRVdWc1dGa0FoPWlJOjtCQjtSTENUSmNERDtTYEF5bG1ZUV9JSF9yWnlETV1FUldVeEdTTk14dXlSdFdEO2lJVmd0ckdlZmdHZ1dpSWFEQWFjYD9oW3FHVWVITkN0bz9oSXVlYz9zV1dJTUtHUF10cz91eDtWa0NUdVdDak9SXWtyc2tWUVdJVmlmQ1FXV1FYU11iQmFic29EbWVyW1dYZUd5bT1zZl9mdllIT3l3X1N1VXloaUl4ckl4RVtmQ1VkVmF5Q09VRkFDYWdWeT14WklFVl9lXFxRRldNaU5DVFlJUnZLSXFxRj07YkxlWDt3SWA7ZGJRaV5zdnl3ZklhWGtBVGNbcnJFaUVveVtVR0tHdmF5eFM9aW4/Q1xcRUldO0lCeUN1c1hIR3I/V0NVPXRkZ3RcXENkR1l0WD1DREtDOkliPVNoamdXVUFDdm15dklSSGFjX2FSbWl5P11jcl1oSmt2c1djPUN1RDtCcXdHRElXSF1Wb1tXb19paUlHTktjUnNiXUNjWFlTXjtkc2dyVldZQTtoeT1ZQnl4UGF1XmFoWG9iQ11oWGlVTXVFVlVEZWNzaUFNUlVTQ0FMRUB1VExWWFxcVj89ckRoc1htcEl0cnNZdG9cXG9BRG1KSE9GXVlBVEtFcE5HbWpaYXNTaFRCYWxjTE5lQVlVdG5yZVNTSXltSXV3RG1LXFxsTWBxbkFtaGV3TEVVOmxLVUFWa1xcb2loVXlIcVxcQXRTXUxrVUt0dHJmVVhCbGpoQXhQbGtVaU1sXFxWSEB4UHFLRExLTGRPVWh4ZGlsQWF1c1hqS1BOP01Md0xzXVVNanVQUEhtbXR0W115cmlWalF4TGhMXXhNeD1zXFxMUVNsdGl4VzpYWEBNdWY9cjpobjpJdEc9cllVWF5ddXNUWGx1bk5cXFZXcU5NUVFLaHg9eXRJSHNNeFRbSXRddFNabE9XdXdWVGpfbXBKeVBhRXhmSXVPXFxTVkBVTGRyRGhwXnhzXl1RTz1tZlVRVXR4T1lvdT14YXltd0F4dkl5b0RRPWBKc0x0cFxcbm1RU2RcXE9JRHVXZWp1TFhgdXNYcHV0aEpvZEpvUVlLeUpRSVRYWXVYaHVPSG51XXVLXFxUW0BUPkFRPlV4UWRRPkBxUVBUXU1Mcl11XlxcclNIUFJhT3RJT0d0TGJFdWFVWFA8anB5WU1weU9Qbl1VWEB5SmhFeV9FTnhNamB5WUZAWUVlalBMcVB1U2NReU95akZRb1RscjxJclVZdUFdWERUdkhEVmhtV3BNdz1sc1NReWRpeD5sdnBpbE1hV0F1WGFRSkpocFpoWEVpVks8cW9QVVlheVdFTmtkWFJYS2lYclxcZGx5TW5mPHRTaU1BTUtueXhpeVFbTXI+aFZSUFFvZU92aXlvdHBGdFJxXFxKP1xccUFxdkd5Sj94d3JJd01ZTz9tVEBVWVpdeGJpcnJpd3FoUmxNaj9EVmo9SmhgZVFmW1ReW052Z1lwZkZBd0FgcXNXbnJxckBodXBOc29ObGtmckV5Yjp2cF5oc1lecWNxZHVGcHc+dGw/X0pfb0BIZF9xdnFgXFxWaFtOP2xgSFpDQGV0YW1sdmhcXHhrZ0R2S3k9PXU8a2V4Y2lAc3ZIaXlDT2hfVWlaT1dPSWJCXWRCUXNrbXRbP2lvVXdqa2hnVUVDV3VxV1JSeUtSeExCdXVWbVRwXFxQTXlVWHFVQHV1eFh0alhWQWFLZWFMTmFsaj13RFRxcGF3VVVOYXhLS2VWRGlRZ2B3SVVuSj1PXFxdTFlpcVFwTjt4clNwS3BVVV1ATm5dV3BNWXNQV0dYVkF1SmJReVdQTmtnb2d2bGNRZXhHeWxpXW5IRz9EY09nZ3F0WUFJWUVVTEt2PztTSldXWEV5eGlIVTtFYld4blVmU1tHRklVSlNFdElpU09JRmliXWlpWUFSUG1ETEtWR1FlTTtFbjtXSGtld1N0XkdnST1kQW1GaUVYQ2VCdk1ZQFt1WEdHPmV3ckdYRUVXYklWWklJUm1jZXV0aFlWZkF1X09YXFxjVU1DZUBpSUJPR1VrZXVdUkFRdD13Qnc7VGo/VkVbWGNRVFlvc0FBYmZDZENNVDxjWVE7QnVtVEJxeUxbZVY/Y207Y2hTRVtTSEJvdF9hZEdrYndtdD1vQkdRRFBHZzxpaWBDc0l3dVBbRlxcQ3ZRc0lhY2R5dWdyc2I6P0J5TUlJR1VyS1heRUJEX0RjTVNPZ2NYPXNKR3ZBQXhxXVdgbWl2RXg9SXltWWVqd1l5YUN2S3FWeXA/XFxXRUhzZ2B2VGFyRU1Vcll5b3F3VGxYaGF5UVRZcGFtOmVwZGVOW3V4anl2eFV4ZmRUWnBXQkl3R1V0Ynl2QnV1R1BPdFRxSkRPTkxrYk1rW2xvZkxLVWRqPkl5bGVTYT10WV1YZ3RWUVBLaEVLVkRRTEFUdUlZVTxqVWVzYVRXdlFrc2xlP1hqaz5eY3ZaeWh2WkduYF9vQUdpTldheWNnd0U+b2dXdUZbRXY8aXlsTWQ/XVR0b3JeZ3R5PXlwT2NFTVdaY1ltS3lmb3ZFb3RucWNXU3dTYVlCZURxT3JsPUNSP3M+SWVWVXhXUVZhO2VuY1g7c3hMUUZdc1Zad3M/W3NVd3hha3lzeXZea2NXU1VUY3hWR0J2cUJiT1l1PUZNY1VlZ0Y9RUJZZVN5S0JwYXd5RXlSO1dxS0NCV0Rrd1lzPVdya2dWV0l2TWNJWWNlW0RbR2NHVXlFZVVVT0dUY3ZeZUY9WXdiS0I9c0ldYXRjZ1RcXD1TWW9pSktjUXNXP09yP1dFU11mT2NlPWliaGl1dUNjbXdWcUt2Rkllbz9ZeXF1dVl1PG1DUUVTT1VEQk1VPG1VZT90cnNmSndlR2NUbDt5bVFnTkVnYj9oV19oZT1JYF9pUWFTWk1UQUt5Zm1lQnllWXNibj9ZWHlkW2VHS115eDtHTktDdWFySHl3Xk1DV1t4YUdiT0dUX2NVRXNSR09VXmtVO1lFTnNGZVVDalVLcFBuTXFWU112UFVYSHVZWGRjTEdsakBgW3FrWm95W252U1ZsY1l0bkZoYllhcF9tUVBuVklecEZbeFBxTD9fP1F0a1djQ19kOl9wUFF5dXF1OkFqO1ZgPlllVVZlX1d5cFluUllxcWFeV1hsXWBnY2hbR1hsdT5sX1hfQ0Z3VUByPWhkclhoYUlbeEd5X09bcF5naj50bk5fYUdkWj93ZD9mSHddWklvRm9sPVhobmdjWUFpPGZhYD93V2BjZT5fYj5dd1hpSUdsTW53X0BqckdcXD55a0FJY2JIaU0+YjxmeVRBXUtubj1BaEBmY1g+YWhYbT9PaVhgYU9BbG12Zj9fZkZBZU5uY0hPaXJIdmJJWmFuYVxcd2ZPbnhcXHZxbGdmSW51eGhpUG5oX3Z0Zj5iSHB5dGhacz9jUj9xeVBhP3RveUJSV0lxVVZOX2lGaVdQa1Nkb3R1bUdqY2l1X0NrTVZ4aXlVbWJ3Y2h4aURCcVRCUWlfWVRiW0RgdVJDU3hibVJqPVhqPWI9V2I9c0hRR1hgPXRmQ1ZRV0JnTXVGX1JwX1djWWZYU0ZlVUdOeXlTO2l2XVVUeXNrVXdcXElkR0FSP3FmUHFHT0dlW0F1ZnVZV1N4R0dEYklUV3F5dWlYUXFnd2tGYVNkUW1CTG1SXFxVeUFRUkpfUlpzclVXWDxbZURjRGZ3RHBDRFhzTXhRTmxMUkRMVE5FbFxcXFxRdkx2YUFuRE1WSUxRYUhUXFxpU050aklgUlBIbm1cXFVSWWx5PXZMPVZLQVZaUXdDRVFpcXVPRHlgPXdRSHV0RVlweW9WRXFXdFZJcVVRSFVLVVRlSXdXcXlsQW5KZHY/VEtgQXJaSFJnRXBkZXRIXFx3WXlZVHBvPT1KWGxRdlRPQGxzXFxMc1NZUk11bnhJSmNNdF5pUmRgVHNAdmhxbVNEU01wVjpYb2VNVFRMXFxWQXFoUHJASGx3aHJzXl4/eXV5aWF4XmlyZ2txd3dYP3JVWXl4bmV4YHE9eGZJcW9cXElzTXh5alF5b1lyamZyQm9tdkZgVG5gZmBrbGZmRE5uc1d4Wz9beEFoUT55andtZGZeW29nWXd1XW5zb3BbT0FfUEFreEFaZ05lTndrWEZzTl91TUFaPW9kPFZbQD5acXhfQklpdndtVVB1Uz5fUkdbcklvTV9ba19uTD9fXFxvXkQ/TUFER21WT21ZdFN4TW1JRndDVXNYTllnVXVoWT9YZEV2RkdicHVSRGFjOkV1dFFIO1dDPUlTVk1TTmFCVl13UXFkaUtYXFxTRHdtZFE7d1hvZVQ/UGtheGplclpBbFBgVl9FSmlYcjxRcm1hdXNocF48eUZcXFNWXUxOPEo+bFleeHlZXVZldU9xQHVtQXI8ZU9QSHZpWHlTaXZdcXRneFJsaFJzZFZvQXNxPFhIZU5UbXQ9TEo8PHZfaXhARHdNeW5uPHlSQVhwZUp0TVRfQFZ3YU5TRXReXVFZPEpNVHU7dFFJSWtKPWtreXdzPXdKSXFsTWpVRWxdQXdrWVFyQXk+XWpsQFBtcFZHPFJjUXQ/PHReSFNPTExIeXc+aEtbcXdXeXJDXW5ZSExXdHI9VEp5QHZrWXZFTFZqZExWaFltcFZHUXRySXdhUFBiVFVwQHRReXc8SWo9dFY+bXk/XFxRWEFKXmFNTERZdE1ZeFVRWmlYPnRXWXFRUEx2VlhQYnBSRTx5R0VTWUhZOnF4P010R1BPajxSeGF3SHlNSkh2dWVKRFlTeVlYSG1SXnVvd21qTkxLP3BTTkBQSXBuSkBReVBSXFxhcU9ka2xZVHhcXGs8TFZVVXFAaWtBVFZpcXVzPFhuXWtnRXk8TE1FZW9IQXJjaXU6eW5xUXRNTG0/SVk9cVFQcU9PSE1LeVRqTW1kbEt3THhnWVheQVNHWHJBeG87dFdpZFlZSXRqXFxRcmxxc2l4U1xceXF5dWddT1hdcT9kVXVwUEJ0WE91WXl5T3J0WXhxSmhcXFVySE50bE9taHhcXEB2QHl3WVVSaVxcWG1pd2VweUF5TXU9eF9ZUzpMeF9Zc0BQTj9NeD49V1FBeVxcaXJlXWtYZHE+bVNeSG9hVHZrblpBWHBKR2VyVnZgdmZnYWBUQGVuWWFmb2NcXF9gS09oWld1dmdrQ25rcT5gb1hrZkdhSUFsVXd2YFdnUXF3YFBjTFlfdFFrSnFoQ1FfYnloZm5wSl9uPV5gZ095eUZeRGlwXkZjTEBaZ1hlUWFcXD12cjpYaFJAc2t1P0V4U115cXl1Z1tldGNYU11pb1VjRFt3PmNUeF95SV94c1tWP0V2PElpSk1nTkVianVJRWt3Vltpa1V2eF1pdXV4SjtZb01kPndYXmNldENJVmliWXFyVlFlXFxbQndHUldHWGdlREhzc2VXdT1tRltPVXdrRHI9ZmtxUlp5QzpXRExDeEpfSF9faExndkhHeHZpeUpNRldFZmpXWU4/SElvckpZYm9VR0NXWEhRc11XSEdtRnVXU2p1cmNrV2t0WGpNT2VRV2dFamdUWF5heDtpSzpneF5XZ3RfcD5YZkZpc19JZGg/dXBpbXV2ZExIYGBhXnBoYnZHcWVvckJ4aEFJZXVGZVZ4YVh3a1l3YkZ5XFxcXEBkZU5uUl9aWFhhcVdadXBod1lfXFxfcUlpbXVwXz5JaVJRXj9vdmFxXW5paGZRdj9ZZVxcP3RMaGBlT2VbZ2hSZ3F0R19Ob29WX3d1VndKSWY9cXY8eXRxWVpXWGJgTmRhaHJdRmFAXm5Vb3JNRnlAcW53V3l0bm5nYHVQQXc6T3ZWYGp4UXdrT2BWV3c9WWVaT2VRP25hYWNaVmVSV2lKb3FQT2peZnJud3JyeWpgaXM/RmRjQHZKWW1DWFxceW9bcWdgcHdnXFxhdl5fYWJHY1JAcFZGa2BPcUhHd1RQc3FmXlt2dVY/eHFhXlBfXXNxdDx4YWV5XnlHdGtvb11wZXdQa1JncER3cUZncVZudGxOZj53YlNOZG5haEU+bHJAbGZBaVVGXFxrWXBLeXM9aV1ZeGF1V3ZkaXR1X152WW5Tb3RGb3g6eV1sUGp4QHRBP2pXVmtieXhtaXd1ZmtRb206cXNfUGhaQXluYXFfQGpmaWo7YF9zQW9McGZVcWFvUVs/UGJxTmNSeGJ5b3JKQXJYV2Z0Vm1hdmZJcXU6UFo/TmhKQHFiaGdTUWRTUFpwaXl3eWhlYGhqPnZRZ3FVdm48dmFJcXBwR29GYVpFdmFoZ1tQUVtJV2R1X2xBZ2l1UWI/UGBbaGhlUXBeTnFIUHNKWWpWVlpddmdrWHZIdmpYd2JaaXdvYWVuX2JoV3RgcFxcUHdvWElfTE5cXENgbnJGbmpfaG5PYkRhbHNAbGRmZEhHXFxVYXNDR2hWZ2VNQGtScXZyRmhWX2JmV2haZmlwYXdoTnhjWXR1RnZmSXhoaW1hQGtnb3hsUXFFeG5Jd195Z2h1QXZIUG12Xl9UX3A/P2tMUXdPWWNMZ3ZaUG9CRmJTb3BmV212PmZUcXJ0aXB0Tml5WVt2T2k8Z3ZDP2pZd2lnQV1zUXlLZ25eZ0dVQl91clA/QnRxV3VJZDprZVdZQ2JpSGVbU0E7cmlvdWpJQnRddlxcVVZLY2djP1RGW0VSUXVqQXhVP0lDT0ZJR0JJZ1ZSbXZEcVV3T2VKeVZueWRGU0d0bWlFb0lNT3lLc1daZ0NnTUZWZVVnYUhJVVJeP0lCQXhPT0JfYVZ5W2JdVVVebUdBP3JKY0RPeVhpP2JdWXVeQXJeO1M8W1ZIeUY/Z1lkYXNuW1ZfT2VJQ2NvQXVkSWhpP1RSUUhkeURUY3NDa0ZWW0VWS3VKQUdBQ2dkYVdETXdYaVk8S1hgYXNCT2RfU3hjUVVmVWlya3I7S0VwcUJgeXhRV3R2QXJ0X1lGbUZqRWNQP3hJaUhubWlpU3dEW3hDU0RUR1ZtcXZNQXlqSXZYX1dzc2tSXXJ1QHZKWUpwQW54WFBFVFBgXV9AQGxyQHFeXm5pUWZfX2ZJcWVQRmVtcGxAT3VuSHlKVmNZcGRaQVtyV3hgSVtocXV3Rl5MbnRWZ3F0eGw+VnlXRnRTV2x1ZmdsQXJwVmlWUWZJYGJePmlXUWBBb3E9QVpMRmpJcXlQVm5WSFtOYWd3YWBScVpuWHluPmY7QWJjWWhoeWM9YXdZSGNzcHN4cW9fYW1dZ3BzVmNjXnFJWGRzWXBBX11QX3hcXHdhZ1l3T050X1hjO09ydmhrc09zZ19ea1d2QElyTklvdz9kZXBkWT52X0laZGBzS3l3U0lfVkBkW255Zj5ha09cXENWeEZGXUxPdWl3anBncVt4dVhvbUxQaGppaUdebVNZXlVPdHN2cD12cVdHW0NZYVRvaWtBcFZecHJOdGlHX2NPZ2NpbklZYlxcYVxcOlhhR3dySU9uU05cXEVBeXBBcXBJbEJeY1tAa0hAX1tvXT0+XktJeDtgcnNnYVRmXl9hampuZE1eXWw+dFpIcjo+aXJfb2BGXk5gdWxpWm5uWmhnYkRJZT4+cVtJXmFIcU9hbXVeYnNOXVBRZWFXdWJRXFxgUWVGZ20+P2N5aHdNd25IX2tbV3JkSWZiQXRvQXJNeXFeaGBcXD9pa0l1VlFlZWljT3ZeSWlxWWlzYHdoSVBiP1BdQnZ5ZmF3U1lzQ3ZcXEpWZExAYWtPZXZBeV1XZms+YGl2ZVhxXFxTeF9TeWFVaG08P2FIZmVqcXh5RmY7QGtOZ2BcXG5oXkdpeFhsPkZ2dV92Q1lsU2Z1dEh3amBkbmZeZj5ydG9jUXBoRFBla29hQVBfXWh5UE5aY1loRGhkZGBkY25qYGdzZFBjSVZ4dVlrY1FdWWZsZ3Z5a1F0eHdxaXhzeF5oZ2lmeEFxQ1dseEdwY2FfZmB1Y15wZGd0TE50dFB4a3ltOm90aHl1aUByW2BiVkdcXFtRW0w/amlmaWFPZl1veXZJbkB4aGJucEE/ZUJ3ZGRvX0F4a3hAck9OcVh2YEhBc3ZxW2luXXZ3eW12dDx5Z1lvZXZObD1fYmpAYGFHalh2c0dwaUVGeF5BcldebFdfZV94bXRfbXJQYEBubVV2YnJPbXlZeFVwXmhAaU15ZltOeUU/aD9QZXVub3d5b1d3ZWZXY0VZdnJWc3FWYnZ4ZXhuamRnc1E/X05AYElIX0pAYXl4Y1xcYXFLZmt4WWI9P11fWXJXeHJkaXRleWpdeGJRQF1oV3lgZ19UcFs6bmJxVnRSeV54RlpwZ189TmdxZ3BwR29GQWp4Tm49UXhrP3d3T3lOQXJMaF5BRmhpcXVFR21TT2BvP29qQF9oZ2t4Z2g8YGJOcWBLUFxcWFdjYGFzXz5keGBpcU9cXF9pW0t2Xkhodj5PZmxhdlNBZHdQeUpHYHY+aWpvanhYeEVAaHRheFRPdGZeXnR3ZUtAcXNnaURvXkxOdm1BaEZmZmRfdmFJW3JnXUxWbk15bnFZcEZ3cmNhXT9vcVF2dnh3XTpIZXdgZlBZdV5RYEhAaU9Rb0tBc1dYYW1uckl4ZUB4Y1ZJX29ReVJHdzxYbnd2alpBYlNRcFZednlpdDtoclBJbXhmcWlOeF9ZZ0RAWmhAYHdwYXVpd0c/amlpZ0t5YztYYkNAXXhXdXFAaFtBYE5oX1VuYHhxYUBBXFxpbmFKX3BUYF1SblxcZHl4Qj9ueV5xSHdxdVhxTFleWWhfUVZaXVZ3XUhuO3hxYXdvY1lxeFF1dmdiUElrTWZ1QU52YWZsd19fcj9jVmBdQk9tQFBfRUldY1lxVmhiQEl0ZV5cXEthXV9ec10/XFxebnNJVmxydmZlUWxzTnFQWHBJTmhhcGNdR3BgZ3NSVltRYHNCT2Rfb1pkRmxqdnVxcGJId3dXR1tOVm9IXm5CQWZXUWhTYG1icHBATmVgXnM/SXVzbltgdmNoR2pAZltCX2F0T2R3eF9jR190P3Jkb11aeF1YTmxaXmVFT2JbWW15Z3hJdmFOQWJHUF09QWxfVmtvWXRiWGhsYV1YTndQaV1hTmROWXg6cWFWYV1Bdl88V2g+b25GUVtZUXZIeV1pX1xcXFx2cHBnd2xQbl9QdVxcP3Bydnd0RltSeHRRb3B0T3l4SFpgb3hKcHlhSVtNSGtETnJqSXZXPnRgaHNJP112PmlwQGheSFxcYUF4ZGFwRmhaYVFbP3l2UU9eRl9qZ2ZaV153OmlxXXZkaGBjYnl1eWhcXHh3eXdnanZXXFw6SWZnXnl3ZmZJWGhqd2JOd2BGQF1LSWM+YW5VaWlQeWNNV3I8Z3lBUGRsP3RMPnk/T2ttb2NWX14+d3hFZnN5d2NTblxcPXF3UHddWUl3aEdncWBcXHZxYkJ5eWN5cF5RY1tIY15xX1d5ZmxgXFxKeGdER3lnSGxXXmlRaFxcREBvWnB3YEdgRk5cXGFZaGNJbkZJcGBpbW5nX2FXd29geXNZcFs/cjpwdFBuX1NIbE5Rd1xcVmBgTng9b146cF06V2dhPlp3d3Y9QXhQQGZVX3JKRXdHeT1hVWR5dGlLY0RjRGxVdkpJZmU9ck1pc14/WVVJc1BLWEhHV1BhWFJlc0xnZk5LRXBbZWZLVURpV0dfQkNLVEJDWFhFaWx1RWZRdW9rQ0FvQ0lpUko9dmFDdWNneG93Qld3U1VNREZrVTpZaWVPUj5LWEZbaD9JdmpvZHBXZjpnZj1pdlU9Q2l5VjphY1g/cjpLRGdHeEw7Y089SXBdWWdRdWs/d1hpaUs/eEV3eGpBaWBLc0ZhRklFZD5TR1FdeWBbd11jdz9HaF1VaUU/VF1Hd015eTo9RHFZVjpbUl90bkhleGpMWW51VHJYcWV5bFNkVDtETXhMckdATWNQTmJ5UjtRdldoSnRATVhRdHFteV1gcF5odnFgUHh1bV5heFF0WXM8eHdtbFU9dm9YdnZpbV5BTF1AcjpFeXBRbEFsVWhseWVtbnNlcTpsdXhZcFZ0dnlhcUllWXc8UVNxUU55dmJ5cEZ5c1ZRakhpTVxcRXlHRVJQUWpEXW5lTG4/TFNSeHJGPXdjbUtwZFJoZG5lRXZKSE5tPXg9eUtTZWplZWpXQXZeUU49TVVgaXhNWHRxdHNEYVRQaW5vYXM8QE1dPGtkVW9yXXRQeW1zVHBnTEtOPE0+QG5xdHZeVVNzeVZjcWpMQE47TVNuTFduZEs/TWtuZHBzcWxUdVBxdFhubFd2ZE1fUXNvZXJZdFluYXJHWE1ORXBaRVJCSW9laVBwaFl3WFlxVFJQYW9QTXBcXFhPTGVUVHlOaFhtXnRuc1xcU1tFdlo8dlFIUWxsalFVSlVtSlhwUXdQbEBYT3JwWXdxUUxtbm51TFNxVFdobWdZb2lpSkFha0lFbUxZbWhIWW1dbXJEeFlAbUFJTTxVVF9Qa1p4SzpQcmo9VXZ4TkZtTkFUUztRblZocnNUa3ltSztJeFtQS2pZbVFgeHlpanZ5c2hYVVh4eF9AT0lkS3VEdFZkeUVtS1ZIUE9YbGhkbGN4TllBTWJcXExwTWtMbHZrPGxaQXZaeXNePGxScVFLWFlGbWpLPU07SGo7PVdYYVlibFNXUFVjTFBuSXVHRHlFSXNIQW5UdUw8eFFhWFRvWW5yYFhZPGtwPE1VVExYTFhZTHloeVJ5WFZgaXNVcGs+eVVYXFxNcjxYX1lvYnRPWF1xb0xtbkRtO0BZa2F3ZWRUdE1rTkRRQl1LeFlqTXhOUT1WPXFqWEF4bVlZYUxVckFVUnF4Z1l1TFFxP1hPWUFVQFBwZkFVZnRuc1h2bXRYdG1XdDx4dWh0clBMTl1xcm1Vazx1dVxcdWNkcWtVVlV5a0V4VFI8SlFtdHNYVmN0S1ZgVWVkWHJsUFZ4d1lBc1JIeVV5TF5VckV0TlZNS3RxbHFAUj54cXZpUEU8dW9gSmJ0dEptdnNAdHZIU0w9T2ZJS19cXHNdPU9ebHNZPVdWUFVISHRKbHJ2eXRBeXZ3THdQaXdBTXZ2ZWpCaHZuWE1UeEtgWE1xSVlaWXJ1RHU8VHJTVHhyVFdcXF1wRERXW11TWzx0XVBxWUB4UWlLRExLQEFqO1RXXkBPQVR1WGxOPFVvUFVrPlh0RGhxPFFycGBWQ3FYTkVRZ0BqX1RTVD12WGlxTVxcTkp5UV1QVW9wbVJJcF1tbm9lTUZAUW5Va1VNTElVU1FoTFZMdUJcXG5DUUtOSGs+WXhVQVNSaXk+PUxObG11PFRCTGpfTWpiVHFlYVNoQHBHPVFjYG1QUU9MSHZyPXlFdXk8dFZ5SWxQRXFUVXFCbXh2eXV1UGtYYFd5RXNeZVVPVG1jdHBRZGpXRW54aG9rPE1MdHZhQVN2PXRXWEtlRW49ZVdXQXFrQUpHWW1JZndVeWZabmRmVmFLbnBDZnVfP2NFUXRZZ3ZuaXBNP3JLaGM6R2F1aVxcQnh1Qk50a3ZzckdqSFFuVFl0bWlbVmF1VkhsWkZidmZhcEB5eGhyV3lzaVlbVG9wVlhqR1ltSUFrc0ZnTGF2PXd0aFhtS2Bhc194amFsSENHQWN4aXlJU1ZNcWZ4UWZtPXd5dXlXcVJrT1ZnR2hldXRmRXRZU0ZkP1hGeHZJaXFLYE9TTVZdYVJlVXdZZW5naW1wZFR1UXlDPVJkYFNsbHRQYVNeXXNSUEtpbXV2WGxoVFFDTWtCVVl2ZFVyaXFKcHdjXFxKQUB0YlxcTGB0alVVckV4dEpYaklZU1Nsc2w9eUlFTWRpcnZdWUlcXFdUSEtWUHVfdFllXFx1Y11UW0BwPVxcbGp0a1tBbHJ0VWFId0ZMUUJ1dGxpVXVwa109d0pJUXJpeXFxVVBsT1NITE5kb0hcXG11PHh3PVNFdHhYeXNedXdpYHhvRUttZU9LdUxiYW1OdVZsYXZXPG1sZFZhXFxxdmBZP1VLa2VqRERxamxXVlVMTnRPWGhUaWhZdz15WnlqdGV4YEhWWXFxRVFWdHRXWHltSklvTVFZckRRc1B3V21LdT1qd2h0VWBQU0hTT3BrdkBVdXBwVWxtd1R4YFhXT0lNdXhYSXFOS3B5PXBVdUFZb1F3Z2xyRkhVPGhuRXF5QFlZWXlral1Ybl1SPXFqT0RQZ01VWVVyXFxtblNZb3lYeU48VnZVT1N0WUVxV2dUa0FASnlwb01ob0VwVjpYUXdwVGZAdU9gUnFpS2NFc0JJS0duXFxhSWp4X2RYWHhcXGhyVlhsaWZgZ095eVZwTmhiW0B5RHZqOkFwP29nb3BgOkleTHZ2dW9sQ0dmSGFhW1BbXFx5d2dBallQYURxXFxuQXhkVmxEZmpHQG4+SHE8SF1EV1plcHRUTnFQbmNUYHBMRnlteWZRRmNGX3dAcGxuT2NJbm9CR3I8aWF5eXZwSVp0aV9EQHVLQHJgSWtCP21lR3R5bml2eGdZaWBSSGBdd2tgZ2RIcWlTPmo9eFppSG4+R2tLQGdXUXFGbl5GP2dcXE5cXEJmanF4bUl4XXlWbmBnc0M/YWxfdnRAbWhWZXBYW3d3YmBRXlBfX0U+aXVXZUNQdF9YYVxcRmhcXGFoUj9wWkhaWGFxa2liT1BfV0lvTE9gaU5ia29dSj5cXEJIaW1xeT55Z3loX0xob0dhW1d3dzpOXFxMWXdReXk9WHBhd29LQXBAQXBKSGBoYW5RaWdkPmBzWG5uR3FaeXd1UXhZQWpYV2Bab2tqaV9oZ3lYVmFwWF14Z3lvR1o8eGF3Zlp4ZmpdV2dBbnduWXdEeGl5aWVkT3hsPl9ORnZMdnQ/Pm9UUV1iZmRVPnV0dlxccnloRWBxX05oUlhzcGhqOmlfZEBgcE9tWlZsYUZfTm5gRFBcXGBRW2hHYUdOaGo/aGJvY114bmI/c1NuaHM+dFtYcmJfZklxbVhmakV2dmxgaTtmWztYcFxcaWhYQFtGd3dgZmpzeG9JPmBfWGBKWWZUPmxzdm1vWGNhP15WVmJjT21SQHhNdl5oR2c+R2FnVnNKUVxcQk9lTHBvTVllWkl1cEdcXGBAcGRndGtGXFxUUGBuP2dXTlxcamlgPnhkcz9zd2FpeGFdOlB5b3lud2dcXF9pZGRgeD1XakBWbGdvdW9nck5edkNZZE92cXZRcEFWcGF3dD54b2lZYU53b1hZW0FwW2dOdFNudGx5c3l2bj5oZ1tpcGVPdHVXXWhGZzpgcEdAd3VJY3lWYHl4djppbXNAcW13dkNuakl2bUFXeVU+XWBXaXdAc1J4WmJLZnhtZnRuc1RKXnF5bz1SX3F2QGxtW11yRlRNUElKZ0xVTnVyckhYRUFvZnlrP3VWa0Fsaj1ZSGVyRHhRXFx4WXlxdGtUT010bjxxWFpFdldRWFI8VHZwTk9dVEFtWW1pUmFxa0xheUBIb1FhU3V0V15IVD51Vk5AUFE9S0JdbXloTktlclhRamZscz1hUGFcXFl0YXZJUFlvUXk9WXJdZVBMXW5CTVZzUUpUTFJQYHk6VXlrPHJcXElubGhyXmlxQF1tUUl3SFxcVF9YbW1odW89S0dcXEtrbFdyQFJhQW1scXV3eFRFSVVoaW5ebWxFbU5oTVZMRFlnSGpeZXY+bVY/eUtZbHdLQEtVQWtfVFNIRFZEYWxQXFxOPllrQmlxS3F3dGRYVF1rd1hZaURrY1FrT3RZO1VyQFhURlBRbVRZXVRXUFF0Yml0ZXVOYG1zZnBOVG1zZW10dklVckBNY1VRPnB1eGh5UmBqY2FYZlV1YEh4VW12ZlltY1BXQ2FXVlB1UUV3aERvY1FZcUhKaGVTP2F5c1ltS2lwZVVSTGR5QExrP1BLR0hqZXlWOnh5SEBzY2lPbUBqVmRqO2BYc1xca3ZUVFdhVkZBbVRUa1F0S3FUc3hoTERUbEtocDo8eGV5TUxhSlphd3hEUWlpdG1FeUBIb2FhS3VsV15IVD5bclFbQ1h4VVBtUFh4Z2FgPkhrQT9pdkF5P05dbj5dOlhqQXZcXEJgWzxwaDtHbkRfblxcdnJFYW5mTnU+QF1mR29vR3liYHBRWGNVaHVUaV5GUFpZX2hGWWt0QGJhcXRqd1tJWGk6X19hP15vZ21qWG9zcGZaRmRBd3RgaWtBPnheV2BoeXVxUW5JaWlATnNPWHNDSF1tTmVdd3ZIWVtcXHddRkdrTGZnPnh3cV9jPmhyc3ZobGdtdXZwUG5teGZ4PHljeWZ5PGhhdW92Wk95bmlwXFxGXkh2aGxhaj1meUZQbE94XktveU1mdWdnaG5fb0d4Y1l5cT5nako+d21vbWRWY01fYlJfa1s/dGF5dXBfXmpOcVNmaWh3X15fcXNRW1RwXXRQZXRXZGVeXFxrZlxccEhmXkF4T2Brc0h3WHlhVU9lZk5wZXd0bnF3Xm5zYVhzZlBxRGZqR0ZuPkhxXFxZYUJfbWlxXmtvYT5wYmFiUHdFeWt5WUtZcGFlPmdSRW9iUz1pXm1SOlF2Vmd1VD1pX2FlP1VDbVV5XFw7SGhnRmpZdnlBYmRjRzpfeHBvRVxcV0RsW2M/dUR0SUNudVVZdUlGY0V0R1JIXWZkR0M+SUNBeXZRV1JMTWROY2ZlcWRZO1lrd0RqYXlBc1JIX3U6RWY8VVJ5b0ZjWXNTV2hMS1VvT1VmRXRqaWRxdXd2Q3hcXFhVbm1NaUR4Y1l0dVxcWXhhc1dAT11RckNJc0c9WV94TkVtbD9sd2hJbT51VkdVUzpJVmdkc1V4c0FRd09pTT9YVUVtbkZlcD5oblxcQE47bU1aZFVdTUxARGxyQWdVQVpyV2lDVnlxeW07cXRneGpLd3BoR2k9UVs9cV9PZl1AQVpNV3FCeXRUdmNoQVp1cGxDV2c/Z2pcXG5uTWduT2BjPF9yR2BgVm51ckl1ST5tTXlicGBtYUFkSEliRFZ1O0dbbWdiUj5jVnhjUEFhb2BwSmlwdkd4XFxpX1xcbm1weGJJcHJQbl9TSFxcaj9lRXZxTGFlbW5bcnZpSm9zXXFsTVhgdV92SmhvWj5kU3BjcXZpU1ddZ2lwaVhvb2BlUUZcXHFveVZ4YGl3XVh4YXFJWlZQbD1Gc2VuYnhYcVJxYzpPd1RBYkxRZDpZdm8/W3hXX1d5ZFZpdW1Wbm13dkdwZlE+ckl4XVk/cm9YZ3VBaG1xdltedXVkXFxDSGhZRHNFZGNfU2NPVF9JUkhfRV9pYkFDWWhfVU9HRHFrZ3hrSEpvYktNaW51QnZjWXRFU1JFR0RDVGhBRVk7c1JxZGRjSHRJaW8/ckNPR0dHR2JPYmJJaUVTRkBdR2pbVVJXSFNRQ0NhdmRbV1VzcmZxVUhbRGY/VmF1V0BfRERTSEs9ZGhJWXlzc2BDUnhZQ1p5d2FjcnNkWV9IUDpNeWpkdWVgTERUb1pganM+aW5PbjtYWk5naHBmXm5Jd21mW3NPeF5HYnNReD9oX1VPX10/aEc/W25HbV5mcUdJYU1Pdm1ZeVlxbGtvYHNuXUxwbjxOY3ZhWk5gb2d2cmdvWndOXFx0YGpbXmdlTnlYaGFsbl9WRl9lUFprUG5qWXhJWG0+UF9sTnBsP3ZiQXc+cG9Xd2A7aXRPYWF3Z1t2X2lYUFtxdmtNeW5RUXZfWXNVR3ZRRl9oX2VkVmplXnl3aXlDP3B5T1xccHlrRj9mWnlcXHZGaWxHZEZ2WkheczpYcG1PWk5uX1ZBZD5odV5Xc1BvdGZmZmBBXXV5akl2c1txd1dZdm5nbXZJY2Z3YmtmbnN2aVh2X3hJcl9Zc3E/b1Z5X0dYY1hfZHl5ZlNJWk5ZeVNgW1dRZW9uWlJOcExxYmVebURmaj9Ic0h3c2ZwZW1AalN5YUVHaEhJW0NwZm9RWkBGZF9uYFNPZWV3bEhHbkpPclZHblVOXFxzdm1uRm07Z2FiP1ttcV9YWHZhV11vTl0+WGBhb2RbVmRgYHRQeF9aSGBecV9IXmtWQVpWP2E+XndZV1tWaXFuaWdTdmhGTnZOd3Z1dmw6RmFFQGM7cHNbQGBIcHRIWHRveWBcXFd1aU9ad1l0YWZrOnlrV2ZiWUhoaVluTFlxVEBvWXd5cV9uRXdmdGFecG51WHl4Y1B2allhSG9tVkdrOkBqaXd2ZXF2YHFqbGhmRVFuVkdxbD9zV1hhcU5oYGFzQ3dySXdaYXZuaUdzc09aPVZaa1F5b1lnVmFxc1dcXHFuZ1ZBbndfbT5Jcj14WmtBdjtZWnJJeXdYcmtZdkVhckpIYW1HW05Bb2teW3NXeFBhYGNHdXNobHhYYkFoYFJWYGBAWldXdnFAcj1oXFxsbmNZd3Vqdm1Sb2M8UWJLRnI7Tm5daHBLP2FzQFpncGo9VmB0WHNJcG1NQW1ZbnVeVmFCUF9OTltzcWZjWHdOPmZId2dTR2lvaWldZl9vd1ppQGxrRndEZmpPRmQ8YWVLbl9ebnNZQGxydmc6V25WVnlLbl4/R25xeHBJTndPWXdhXlpJWG9lWGtfWVtiX1tWUWlCUWpVeGp1eWQ6WFp5P3NeYGJUYXBIYXV0UXNodlxcdl5nXlhdckdvdEBieVlzeEdzOj5aWj5aQ19iO19kc3FiOk92Tm5kZD5gRU5nd2lhRGloTV5rXFxmYmxWdm5Jd3VAckVZWmxedFxcbmxYZlxcSHhzeD5yTXhxPkFfQXBqalhbRUhfc1F4X1lcXHB3d3hpXXV3eEhfeWQ+c1dfZVY/d3VoZElmX1RfcDpnbGRmZEp2Xkhfcl9hdk5HeENRbF9WXFw9R3dMaW5LSXBdd2Jrdnl0aXhlQWVtcGZHbnRoaGVFeGpJdl1cXHF1d1hsUlhgYXleS3ZdWWFvU2FdXmBjY09xUXl0VkhebkhoXUldUkdxbGhdakl2WD52bz89d1RKeVddbVVxO3NJa3doSWNGVVRLaXNTXVRUZXJXX3Vjc2Z5cWVBdXVvUWNsd2c/T1JbP2RHW0hnd1I6U0dAPXNVVUd5R1JfQXltcXdNYXhpP1RlW0RgPVJDU1g/XWJKP0l5Q1JcXGFpdWNjZGFzTktyV2t1VGFoU0NjeXN5Vj9XeW9FUEllQj1mcF1FSVtIeGVGP19zQ2dXOnd2PXdXRUl1PWNZSVFDWnV1VENleElpVENDaV92Y2FHVj1zSklmZkNUSWF4Q2F4ZXlUPVNHUF1FPVl5cXloO1dXXV9mYW9YXFxfeUtzV25hWG0/REdHWFxcQWlaZ1ZFaWJgY3lWR1Vic0dXTXVMT0dzdXg+YVh2QXlrSXRnV1VxW3hnWXVRQ0dMPUVZRUNEaWRFV0hTb2M9QXdLWWZrR1Y9cUJGd0V5a0VRdWdYZXJHV0VBO1dYbVlOUWdvS0RPUWdHa2ZtTUhHPWVBc2JFQVhCa3NHV0V1SWJhdVlFYWhvcWNLW0ZIS3hxcWZEdXNgO3JhUWJSX0V0W2h3W0VXY1NOP2ZDZ2lHeUdXU2RIW0RZP0l3Q3luPWY9QUlNYXdVRWZCb0NqaXl2aXI9Q3VDTWVbeXVFcWVfQVJvcXhQZUdQT0ZgVWY+R2lcXEtUQl1laVNGa2tUOm9SdUV3VG1pc1V4O0VkZF1ZPkFjSG1EaENlQ0dTSl9UYGVjXUl2WGlGWkFJQ1NHSWdpbGtDS0d2UW1lQUlTbndlVGlGdTt1T1F3ZmNlaltHPD1ZW2lDS1VEYklFbUtpXXV3WEliXFxTUmFZZkFtVTppdXNNSFNpQ3V3YmpNeFU/dHY9aUlbaXhTRkBVZ1BlRUJfdkNZcmBDdGtbQkh3Qll5aGlNQ3BvV1drRlxcTXJzX3lnU1VwP3JeSXNNR2RsY1Zea0dga0I6aUdkaXNVd0hBVWRgY1NqP1hbUVJGc0V4W0VpbXV2R0RBeWlvVXdCS3Vxd1VHZWQ8U0ZcXFFpbztYX2dmc1V4czt5Z11UWF1CP2tZXFxDWEh1dVFfeHRLRHdhQkx5dmNJaVVfUjtxSUtraTxpdlVrSGZnSXRheGtDVkw9RnFfcjplWXRJc2hvdEJHWHhxR1FnV1pzVV1ZR05LQ0Nld2g9ck1ZaVlRWDo7WEA/VHBTQkJRV3RBWHdjYjx1RU4/SFE9d0V1VVRLeEpBZk1Rc11ddGJnUkJ5ZGlTZWttY0xraD5zRlg/dltHVllDRz5JSVBjVVVnSUhnQnRJcm9BcmNNRFBlc0FDU0VpUm1PcjxpSGJLZG9deFE7d19TU2BVcm9XV01DSGNNdEhLRXBNcklXVkF5Z0dnQkxnZEtvaWBxY1tLVmZzZWhFRHlRRF9LU2VbYnNHR0JLQ0Q7cmRnVFc/WGxhTlxcTVFPTW9OPVV3UFlvTE9PTW9eTWx3eVI+VEtacXdXWXFdSFY9cWpidXRoaE1wZXdUaVJRUXZZXFxTUkBUVmRxdXV3b0RTP1lOP01rVjxvSm1xQUB3ck1LaXlZX1h2RFhsYFxcaj5YUl5wVVlQbFFpbG1kbzxYcGBwTD1heGNpeUZ0U2hcXExLXFxNPGh4aXl1bFxcVUV4cVxcVHdgREo9SXd1YE1FYVJnUHhEZGp3WHJpPUpVaXlAXFxrZ0VPaUl4VmxzcmBWUjxQXFxVSkp0T3hocEV1bkJIamJEVmhAdEVAdlpBdjp0SkF0SmhpUUBpc2FIVk5cXEphVWxmZXRkeVRbbHB4PXlbVGtfWUtibU9WXXVedV5fUV1CcVxcQWldRUBqUXhjXlFwSXZnX2R4eXVLTURiWWJfUWlgRWJVXXdTZVQ/ZUZFeUZcXFtVWWl0T0ljZFNURzt0eGdZc1tDVjtpWFNFcWtlQFtpSD9kYl14WkNYWFVTYGNyc3VZQVhZTV1vWVVwYEFYTUBVSExYRkR5PGlqR0BYY1F0cEVQV0VuPGVKZlhVcXBzXkRWZURUW0RZbGF2UklwPVhPYFRsalxcWGJBUHZQWW91bUBZc0JEWFhwUGddTltoUXQ9VHdQeUpFdmZUdml5d0VcXFFZSU9tXFxZeHhxQVxcUVNBT1lRUjpYTE5kbj9hdGNoWUtVcXBIWVZQVj5cXE90TG1LZWpkTVJVRFVjPFlEdW1jSVZkVFI/cVZgWVFgUFJbdVdyQGw6dHd2REpSYHRYbU5hUVltUUxSdVFDbVZIcFRiXFxPRlBMYFFLd0hOa215RGByc2VVVGRRO1VSUmRMdHF5d3lOTmlvVXlLYXhTaWBSTGFuQ2RPWT1SbU1yZ1xcaz9RVzpkamVASkFwdE1AUllNUnRFeT1gVUBxUWJ5U2hPaUdhWkxAbXheWz1PW21vXmRobXlWXmlnYklBbDtpXVVuYG5hYklwXU9IY05wbztpakV2Wzt4clU+Y154XU9wY1s+bFdQXUVnbGxuYWBRYHI+YUJWc1BocHRRX0RZbW9WZ0BoXFxlbmRCVnU9V2c6SWZhVmpAZls8b3ZGSW1jUGRTUVt4cHFpPmBdb2JPT29iYHlFT3J3Vm9LV3lIeF15Rl1kbmRmaWpXWXFBWWRfd2pkZmE7YHhTTnlWeHRmVmg/QXhbaV1qWXNpZnNaYXZeR1pxeG1GRnE7UGRvP2p5d3BESWd4Z2RJeWdzP2FuV2NbQGRCP3lxT3JbZ19WaF1OSHZxTm5WSWZ0QGpYaF1yaFxcRFZcXFtganNQXkQ/bHJ2cUZPamBoW0dwZzxwWz95aHFxd01eYGNPYFJfbmB2YFN3XnBWZTxoZ01GYT1gZVtQczpReEtOdHVhbXNvaFE+bVJxZHRZdlRgYVNYa1lwa3NHZENoX0lgaVdRcF9XaDxZcl1fYFBwX3dOalt5cWhPalFZc2F5ZVFoZGhgdUFhXkNgalB5b3lJXWFxc0NhcnFmbXRmaDxRaj9WW0pWX1BoeHdocFVmYGRfSk1mPj1nT1VnUD9EYVlIYW1UP0F2O3lGR29jc3NnUkV4YV13VXlIR0NCO0tUTldYPz1mV1VpVD1FcWtnQUtUYF9oaj9HaHd0PTtpaj1IPnVSSklFZGdISkVmQmNzeVFVQ3FDWndYaEtzY21Dd1FzS11yRndXPWVERD9oYkNWaD9jbFtGSHl5XFxDZGtLY0B1WU1paHZBcjtzQ25Zd3FjZT5rU3lVc1Bbc0w/WGxJRkhxRHFnWVs7aGVFY05xaXhrdTpheGhBcjpncjpNc0ZtRnY7ZWhDVmhncm5NQndrWGZBVWJhdXNPQk9dZ0RXZjxlYmtNZm9hdT9pRktHU1RVc0l1ZVhVYj15YmFRY2txQkdLRVpteXZJeXBDRkRpaGpnRl1TVWRrSGhddT49ST5BWEVxeUl5SWlxSERpZ19DUjxfRGJrVGZnQkh3RVlNY3JDWFZDWG5Bd1xcXURpa2VRYWJfb2M8W3VLW2hodVNaZXdyRUl3bVZxX1c/dVRjP3NPS2NpPXhpaWlnQVNaXVRNPXZFd0lXWXR3P2JnX1hZUVdwO3NUaUZNXXJaW2Rqc1RSS3NiTUVsSXRKdVVRUXJTVWhQWWY6RWJmQVdRcWdwZ1ZFZVZDPUl4dWhwdVQ6aUlvO2hgXWlmYUR0cXVBO2VLWUJSO2lOO1NcXE1jRklmZllnaHdTUHlTPV1CdG93b2llV1d2Wkl2PXVXa2tzPFF0Q0lzcm90XFx3RGlrV0w/d2dxRkBZQ09LR15bWT9JaU1rZmdHck9rYkNTREBZY2pxRGhBRHR3VklhUk51Z3hbcmJnWVBnR1VpUkJTWEg9c29heGN3ZENPU2Q9Rl9NdztzcnFPQklrZ0N5ZzpRZWs9ckJneDpdTUxdTGJcXExrdGxeRXc6UG1XPFNKeHNNWHRBdVBNeVdBcE1tRVdHVXZCZW5KXVJAUExgUUs9QEtgXFxQW2RPdnVwTEl1Rjx1Z1h1PlxcdkZJbUNkTkQ9VWNobEpRVGptWEptc1B0cHI9S3FRak9oTUFwVndhT01BbnVETVVJVmxZVE50dHFsUUhkWWlxdUU9WXdRVUB5c1FwT1dJTkR4cklkcHFBdlpdb1hldVNseXh5d0tATjtNSltpTmhhd2ZhV05xUUdJczpISj08WG5Bd0tdd1ZJcU1UdXF4eUBQaj9Ud1NkbD5AT11tclxcPFNNcE5pRGtsWXNyWXZJaHVebHlvTW1URFVAbG9CbXBSTE91TGpsWHg+WXNBUXhHeFN3eW1neFRgZGo8cUxbQWxQWGQ7dnNZPnN1T3lASHNsaVtjUGJbR1pOQGBRP11GRmtoeHhebnNlQWJ0ZnA+SGNjPndpeXk/ZnhleXhBSXVtWGdCX21eVnB2R1pnRlthP1xcX0d0bXBmZnlwZk5oZXByOmZtYD5dc1h2YlBbbUFsUm5cXGBRXlZOZVpmZ3lRdF9YYEhZc3FhdGNodHJoaXVBb1J2bXRmaGROcGBnYGhYZF9IcVtBYWppZkVxbEtnamx2bmpJYVl3cGh4XnRheFN5Z05xYUVgXFxjT18+SHloaXVhXmJBRmdxdmBlbmZDaWNJZ2xGUF9nPm9waXBEb2NpWWVFXlxcZkBfTWBnY15cXERGW3FJb2NfdVk+bVNZZEh3dXR2X3dvc215bG1wZ3NgXFxrTlpfXnNPbmI7T3Z2cWFDSG1gXmB0eFxcdG5xSW9tWHhvSndvWHdhVmZhdGBaSHFzUEloWUFwUmZuZVFaaWhhO2htRV92bkl1dz9ySWZeO1BcXG9ga1JJb2tOclZXa3hRWnc+YGo+bD5ednlPZnZAZFtwWkBnXU9ob0t2cGhnXWRuckVfbGJGanBpd2dZXlVwXVVHX2xvcEpveHV2dkZGblF4X2lhYlhhcW9mW1h5ZVtQYkdmYlxcVm5Jd212SXB5d3ljV3d1Z3lRUXc8XmVyXl5VX3NvcG1HeXF4SV5ZUXliXlxcREZjaFF2Om9xbE5wbT5fPUlwYGFhZ09uZkZyRGZicj9fW29vak5dTHZ2QUZjVnh4W0h0U1FxUFhpcl9lPXduSFdmalBpb19bakdqWkd0PUllPXdvRWFnU0B1amZsaD94Xz5qPkhmWD9fYklbRVZ4YmhmcWFbWUBzcVloYGFzd3hvW19fQEFrS292XklzT0B4a0lsQ0dtYHhjWXBnTWdtd3JiUXRfV0NgYXNTV2JldXRoR1ZRcWdrcVJXVWNOQ0dsV2M+aVJpc1VYcXJYZ0lhW2dpW3Nza2Z2Z3ViO1ZsdUZjW3NzQ2dEUXVDO1JBR2hQaUdRT1JbVVdOaXc7W1V4eVRgQUJybVhJbXZsP0dUZXVUaWZMXVJtXWRqc1RSX0JMc3ZtPVNWV1hgbWRIT2lQd2dTVWhVQ3lteVZBdXl4aWdmW1VsU0M9SVh2Z1dDXXhGT1dGW1luaWRQYVhVc2ZUO0VMUUQ6Q2VvWVRFXVRdeXI9WUZ2aXlWW0lyZVN2eWNRc0drS0hfTUdgPXlLS2I9P2hxdU9cXF1xbGV2REFPUF1zamlZU1VKaGBSRkRNbFxcUnJZbVlZcXFNSnF4V1lUUnBgV19dS1h5VVhgUU9lamp0UW49d2ZIS0VFVz5cXG1PcWxlRGx5VVd0PHFreEx5bXZ2QFI/cE5QaU9RUFJbVVNeSHNEXFxMZXBPbXhRbVRZUE1sanRvQFR2VURTTkxbXWBqc1ByTmB4WkhecWZbX2ZoZ15ddj5pcE54YGlzRFBvT1djUm9wTm9sYEZkbD5uO3lzOlF3a09odGF1eD5uTFdgY25qXFxgYj5HZmZudmNnYnlGaFxccXByeW1zVmhDTlxcYXBqdXZual9lc3hsUWlla25haj92OlduRD9dVFhoYXFzW3dzWGhhcnBpd1FhWGdxdGdaUXZcXFFObz5fZjxHd0xpbktncXRnaE1oaGhmZ1RhcGNuakdWXUB4YklwXUtpaFNvZ05AYElRbW9gW0NQeHNeaFdvXUtAYnlXal5Jc01WbV5ga0BHZHdoX2pneW4+aGVhbVZwdkReZmxgcDp5W19gb1RfXz9QcmBAb1hxY2BWXUxxZkhpdlBeeHZwallZW05Oa0JBZDxhRV9jWkF2WnlzSGtDSFtFUl93O1VSVEF0RVlCPVNiQl13RkNyY1l0ZT9kd1NZdFVzUTt0TF9kZFdDVlNWZU1pZU9UdXFXVEdHZ1tEXV9yQWVJUElIZz9SeVNYQE1jY2FHU11YUGlnbnFidWNZbEN3TGlmPWVmRGVkRldHVG9iXXNSSD9UX3FXamN3dWFkSGl2TXFmR1VidVdpdT9XY3F3S1lmQVtlVl9jbUdCbl1Ybl1SRXFkZ0NIeF15ck1nRltXPFVoYFVYSnNIaEdWaFNJU01oQlFzYnNJVWlJdmtnXFxvVkdRdEBlZEdhRmpdZ2ZzZltzZUpRRXJldmNjdWFrREljZmlJd0xMTV9lS2FAVEI8UWFkUjtQeGx4VUBUcHVFcUxsZmBnYkNWaD9IY1tGaGhJY1xcYW1OR19yeHJGP111SVtZdm1xQW9Vd3BpbmNYYGU7YGpDVm5rb2BvbltjR2dOWWVASXhsdmh5WVpoT2lCYV9sT2k9UXJWaFptSGdsWGlAb3JNeW5pP3ZnaXlYX2thWGNRP3JaaXlqP11FaXJFeGlFSHhgaXNVWF1XVmVYXmI8SGw/cXheSGNNUF5Xd3RVWXVVZnl0aXhNbmVjeWl5aXlxQG9SPl09cGRSWHl1WXlcXFF5b2l5QnVxW3NRd0lrTXZuPVhvZVNEd0NZa1VbUXRfV3VwR0ZGSWVySVM6b0VNSWJDZUU6c0l0cWlzaVk6a1ZwUWRDTWhMR0VxZXdOS2NiVVJvb2hZYWJzaXVFPXJXV0M6bVRdYUVlX0REP3hKTXJWRVZsPVNWd2VdQ1hIUWNuZWNoZ3ZReWd5O0Y7WXhlQ0NhR1deS3VcXEdYZm9FWUFpbWVETUd2PFtzaGdWS11EYFF1Sm1EPVlkQUNoST95R1dFSUl4ZkllST9FST9jbXV2aHlZV3NWaWlXPUVZbGF2eUNGOkVlVGNIZD1FdndFQFdzVnFoZ1VVZm9Vd09JRFV1Vz1pakVSckNyalV3dE11bkdWWG11YmlTaF9Vcz9ka1NWQF1Jcj1QV3VyPXBKRVRYQHhvY2lvVXVqa3hZeUlNTkRPTHhOTGl4XXlySXhqdkV5bEhyP2lyRklLOkBxb11xXUFRWm1VeUR1ZG15UFlNUlB1Tzx3dXRNQm1NR3l1ZkVPTkx5SmZ5WFdoTGlxdXFqQWBteF5wS0dbbWdqU0FkPGFFZ0JMW1RlRVNWV1hKZWhIQUJdaUV1a2NbPXVqR2lSP0hbd2Y/V1NgRVZkXWh5cUZGSXlgb1l5UWNYb2VLYWVnWUhqW3R2P2dvbXleQWhOb1hncWRaUXVvd1Z0bURQTXZiQXc+X3JDZ0NRU2hxa1dCcWRfP1lrUXZbP1lrUXZAc3dBR2VsY1ZEXWQ/RWlQd2ZJdWVcXG9TV09JckNYXFxhYktFVmdjRGVrVE5rdWBhR2RnY1tDWWxhZ1xcdUVBc0N0PWM7dUVWZVVXPUhkXVRRW3hnWXU8PVlmV2VHa1lvc3VgXUZqT3ZxQ0VpVXhgaWJ2VXVtWXhmO0ZXbUNtaUVRRU5pPFh5RE5nQFB5QFNxQVFZeVBOVVlwSGp4UE5EQFdBUExgUUttTXJgbHRmUFJvbVBVcFNWQHE8PVFvYFBnTXl5VHNQUGNDcWVSPnNMeGVAUHBqVnlRUXdjQXRMRmV2R2k+aW9ieWBpT2lcXFBkX0hjcnd5WHlbQmhiXFxgVFlGO1l0UXdoOj1iaUtkXkNzOk1GSkF4allkYXdTaUNjeWliRXNEQF11cm9idXV0eUNZbGFCXXNSSF9IclVZYGF5c1l4UndIaW1FdGF4Y1lWanFJcmd2V2dic1l4YXl0SjtFcmlCa0dJc0FjOztpdXdWTGFjS2lob0VTV0N5QENCWTt4W1lyVVt4aXlJPV14SUFFcjtob0dSQWl0VU92b0N3UndVOmdIXWFmcnNZcVFjZG1SV192cWlUbz1Db1dJdl1ZdmVnV11CdVdGcF13UlF2R2VkSE14UG9CTHNGUUdlV1dCPDtiTVN1O09nYG15R01HXFxdRkQ9ZWVoa1pBdlpBUkF0SkFwTG5Mc3doeDxhUHVIeG14cT11aktBc0tYTj1MS1BcXGtAaW9sXVltcXZqREpAWFVUbXV5SEpWUU5lRVdLeVBrQGxoRWp4TFlucVRjTHNdeXZeUGs7dVB0TXZiSXZOTXhaZUxqUXdyTExgXFxTX3h2a2hYbVF2P2lPa3lRQW1LXXFRTUlLTWxOWll0YVR2TVxcT2tda3J1cGhldUZsWGVFdmY8bkZUa2x1V2lZeTx5bFZBTHhYcWhIcUBYc3g9S0tIeGxBTmpBWT1sUkdQVT51dkpBUHZFdFpNT3JEU1BdVWRAc2dATT91TlY8Tl1xc2FRVF9wbkh1WFpQVVU8T1VAUXVJTlNNcERhbllUUnloWE1dUj5td1ZJbWpleGR5bXR4TGxVVj9Fb3Q8ckhocmxNeVlpT251V2FVeVlleFVAVFJwTF9cXHNPbFY/YHJzeEtDWFh0WG1DRFhYQE9uUXhJeE13QVRhcFNZPVlyXW9gRHJNYHJsaUpuYFpfaGpnXlxcd19xXldjRVZpXFxxZGhHXFxDcWJ0QWFsYGpeWWk7cGluQXdHR2FTUHFIcGlcXGBtQz5sV3ZhV2F1THBia0F1WVl4bGl2V0Z4eVZpcFdyPl5fPUldQnd0aXhlaV9kc15wandqSmlxdXd4REBwUFZiQnFsZ1ltPUdbVT9iVE5fRklxbXluXj5rSD9sZF5dSFBpQmB3XmlcXD9AYXlBeUtZW2Fxc1d3YnNReD9oW3RuaE5Adj5OX1ZJX25HcjpHdVNebF1xc3Fgc0tIa21AYVZpcm9GbnNZc1pAZFJRXmZec3FnX094cUNuc1ZYaXVRWldBXkRGZXVgZERAZ0BQXFxgUVttWGJcXGF5YHBuX2FpVWZbW19za3hdeW5pO3BiR3BaXFx3eXhJeUJYPVtHRj1yYEdWeTt4TGdoXnV2SW1iVU1VXFxjRGBxWUBrRUZNQ251VVllc3BxY0s9WHhHQ0xXdXJTSWE7SGpBdUx3U1lfWT55eV5HU0dzRHJhZWtVeG9Zd1FxUk9XRl5zckhnRW07VVJ3YnZzY0l3RXddQ2hTYkVXU0JXd1Rbdkl1WW5hV3dxdklBdFlZY3hTdElrQllTSURBWGFndjtVc15ZZVhzZ2FLWFh5WUFFYmtjc14/SUlpVllFQ11fRERTZEpfRl9fc15hWV9BaVZvdkY9ZkQ9ZWVbU0ZPRGBRQ0U/UlxcYVlRQ2NtbWNzc2ViV1dzSXBoTG5hdXNDPVVuQFdSaGpFbVZbPFE+PWp3eVdzbFlhSXk9TG9HYHVGQG5NZW1wWHZhaGpZRWxAVHNRcXVrTXZSbHVLTVBaPHJZXWp2PVBrWXZBeVBydVFxcXdXWVByVVVXXXV5eFl5THhPUHI7aHlGSXFdVHdBeWtZZGpnTW5bWXlDRFhXVWo9XFxLWHlrP0FTV2hKUkxxVDxVeExKcmBYRm1zXUF5VEltdzxqbGVrOlB5d0BKYVRQQXB0YlxcTHBwYk93cUNWeG15Wjpwbj1mZl1ZazxHZlxcXmxqdmRSX1tMdnZNYGBIZ190Vm1FeFxcaW51PFBaP05wXVhpcXFieXlmaWFhOlluYnBxcG55QD5jQkduQXB1O09paVFkZl54ZGBoY1FaPEBbUkFwOlBrR0ZcXEtveWI+W3RJXz4/YnR3X1xcYHhYWWlpSG5xQGJMPmNbXm5LQGw+YGlhYXV1WHNob2BVaHdDcWc8aXl3dnNHcXNmYXB1WG1TSW1xcW1zZl49WGlQSFpycVxcUWhseWZwOz9uYXBoVEBcXGBxcF5IY24/WlRGZmhxdmBXeUdvaj9IcVBWaWxGbj5pclNReT5BXndveEF5bT9oanNPYjxfcXNpbE1BXj9nXk9hdmFwaG95Xj1BeGBIUnF1Tj1WVVFGWmV3WUt0T1NjSVVzV1lHO1dIdV1mYkN2XFxZR0Rjcm1RUld3VDtzWEk7RltJQ0pjRFtTSG9fVG13R3VhZDxFZklPRGBRY0ZvYm1ZZW1dSFdHVGFFdUlvSVRPYmRldER5VkZ3R2dtUk11Z19vU1J3ZV5DVlhJWV5NRWVLRUBbSWA9ZDp1WE13ZD1jZz9ZdVBbSXZbWVpTeVNfY2JBd2JVZXFZVFo/Yl1VdkdLeGF5aGljZ1NveG0/WXRNdVhdRGVDSGtJY2htckhHckltcj11eUlxSGlNQk9VRUVVd3NpdWVPeGdtaFh3c1JjQ05BV0RbaWtJQ0pdaGZXVHVFZ0pdVkJrZW5lY2VvU2FheWNpdWxteXJxVF9bc09rQz9FQ21lUkBPZFZfZXZBdUdpc2dXRUdNWDw9dVxca2JFWURMS0RrcXJVc2VFP1ZKUWhfZXdFcUNcXFFYTmlGW21pZHlUY1doPW9XPENycU90SlNIY2VWXFxDaHZzY3NvZ2pVZGNRZjxFR0pBQ21hcj5VdWdXc2ZlRHBBeGpRck13Rms/Y0RPaFdpd11PWW9VeD87WWZHZkBlQ0VNWEFZRUFnZ2dJQ0NLWGpPZG1zZmdRcnZDRjt1d3Vlc2BlUmZjYmA/SE5naU9bVGdxZl5lUlpZcz9LdF9TY1VNZmA9QnFteVo7dnldRHJFZXhtdGlnQ01HYl1PQ1FtVj5jaF1rc2hhYk1Hdz9lV2Znc1V1SGJVZ01rdmF1eER5dWJNWVBJRUpdSVE9R1ttb1tBbHJ0S1pEWFhZamB0WExVU09Ad3RcXFBuTEpXVXF4TWo9dEp4cUw/bFRsYEt4YFBKQU9PZUpyWFhDbXNZXVFOcGpqdHA+PU1VcHBcXHhsYkRsWXRLWWxyPERwcT1KSWFUXXlNXUFXbGBqPmFyUnlMbkVtdXRYW11qP2h1TERZQmlXX0BZa1F2YkhVbXBOSGltdXRWUXVVbmBwZXV0SHF2Z2V4eXRSWGBRUGxZUXBSQmhrdz1vVUhzaEVuaW1YTGRtRUR4cWlyXkVrTGRqZ21RcFhyWmFNaHlvd1hObXRwZkRtXlhPWGhyY2hMU2lxX0F0dERNUmFzUGxYaVR1QURQRGBYX1FRV1VqSVVRdVhMSGFqaHlRR113VElKeWRORHFtPW1tcWF3SFFYRVhLQUl1WGVPU0VuSnlSQ1RYP1hUWlhNPUlKdEBhSXBeYUddVW9pYGFzT19xb3F0cl9fWW95TU95UF9hRkFncklsYXBkUlhwT0hwX3dlPWhcXFJ5eFJoX0tgX3ZoX3NhdUBpWnR3b1hna2pveXZ5YW5fb19ecEVPdVl4aGNWa3FnXFxXZl1kR3JrV3RgQGNLUHM8P21Zb3F2R3VoaHl2WHloWXFcXHZ5cmhxamd4S1Fxb2dnaXZtZ3h5c15nR2dsQmFhdXFlV0FjVnFyP1ZtWUFea25aQk5laU5kZW5kY1BkUGZwZXdkbnZxR29iSz9tSHluSXB5SnB0PGlsTUdqQU5tO1ljdmZbXm5gRkleS3BxRHBiPVdqOnBcXHdAZ2JpZ1VveXJnajxpZltJYmFnanReaGs/YWh2dklpXUpPclZHdmpebGp2ZHJmW0x2dm1IY253dGBIc3Fpa2d2ZXNQaHVOZ1Bhbzp4Z3hIaXVWanVvbEhgZGdfWmZvbWF2bmlgbUpwXFxRYHd0eWE9b3BQWGc/cXBvbnFfSV9RaV13TnF3bnBmR2FBWFpBbm87dnBhWWVPaXJqQXg6Vm9QeWBeQGdLUXNyQGlrV1toXmVyQGZRcWlAcFtXTmtZd2l3aVxcUW9vVkdwZXdhTXheSW9wZVdpZ3l2alF4RHlqdkZpRFB1dnhtYXd1ZU9gR15sdnlpakBpdWB1c2hpanZnWHloaEhhOmdvb1FrRnddcXhobz5wY3lnWk5kbWFwX252Sz5wYHlgWnd2TEZnd3ZpX1hhQ154Zl54blljW0BvU2FjYV5zSXl3QU5hSUBoaHdpTkZlQGZeRmlcXEhxamVnblFXblBRdFJRcmlxcW1ZYmdQZU9GdF9Yc2VIXVVZb25RamdgX1RBa3hvb2RAaXVRbkZxdGxhW11vZ2ZudEVeaGl2X3FfZ1lxeVNubkdXdURodGV4a11xeXdBY1g+W1NgdWxuYHBGaz5ZZl5uXXdOW0xueUpxd2hxcFNPYUVpbE1IYWhoeXdpeWtBdjtZWk5uX2ZXbUVuanVYcXVubGZGZTx4bFhPaUNxdmZQX1l4aXhJYVhvaXNpZlVwcE9RcGF3c1hGeFRvb1ZXXnVweE1uXFxgVmRwbnZGSXdIUGI/YHNBVm50V2l1T3Rhd289SHBdd3U8Z2pEblxcdkZ4am9cXHNedWN5dFV5YlB2ZVNJYjxfaWVRYlpJcGA+eHFOXk5wYlJ5cURhXXhhZ3d2dm9hZDtQXj9vZFpwckU/cmRId2xPbVlQakBnamVAeURmaj0/ZDxhRWNETFNjQ29XaG1Xd0dXbEFHb09YQFdzWW9JR21yVXdXeFViPXViYElmdGV4bElFWUlSQVVkPVlSRENYZ2dmP1dobj9lT2t2VF1HSWt5Xl1Jd1NYWlljaUtJTFV3XkVSQWFpal12Ql1FVHNIWFtHSFdYeXF5X11kZkNVVVFiZ1FUTUVpbFVDS3lJWDtDZlF1b1dDd1dZcXFoY3VJRmV5dGl4a19Zc1FYbkl3TXlCSXdFYWdETlNXVkdiPXNCXFx5cllzWW5HeVJhQ0FjWWhpdXV3VEZ1VGhfV25dd2JFSDtFUkxpYmM9d0pxZ3JZdkl3c2dRdVFXU0xXdEU7d3JbRGJtUzxbWUVhWVp1dmw7dkNvdnZtVkVLSVFPSFlxaVI7WXNXSUpRZ2k7ZFlxWHllWT9PcmNhRGVzRkVrQz93QkVZU21pRnRvZnFbV2Vhd1hFR2w/QkQ9ZWVbZUhDQ3I/VExzdlZtZGtBRm9fVEtTVktFVGs/d0xpdk1bRXdLaTpjQkQ7dVFlZExpRmJzVU11RkZ5V1JrQnFLVVR3RlVxWHFzRF1hdjxlY1RjRj5tSFFrRUZjdXV3WEhxVlttZXFzV2tbRGlrVVdDYjt3dmtPWW9RV3VfYnNTdHNXWGFFRkhXeW9Zd0FXZ1F1Z1RnVVlZdE1ZRF15ckl3clJHSF1dd3B1eVJRaW9Vd21fVENnVGVvaHBHWXlbZTxPSHI7dVldU21XWVBtZEBXWFl3WHV1RWJldUlfYnJRRFp1c2RjZT9jZVlPRGttU25pRUVFV05pdERNQ25ldlVXZ0JhZ05AbGhRVWVhdm5pdl1NU1JYXz5mXkZlRT1SXFxheVZDY2JHUm5DU3FFeE5RQ2xReW9ZaV47eHg/cmBnU3lXRkFtY0ZhZD1LdUJjdm9hYkJpY21vQkVjZ2c7Vl1BRztvZVVdVjpJVlFHY2VzVGhBdlBpZ11BWWtpcjtrVHBpUkFVZkBlWWtvWGd5VFJ1aGhlRVxcS0ZcXDtkaXNVeFNlcWlybjtXSkFSclFZeWl4UXlVall4bVlIVGdnP1dYT1doX2VZZkF1az9HT01za2tnWVNDUWtHTnNnVjt0VG1mRmd3c2d4cz1mXWdHeF9yP11oWFdDckloeFNDbnF4blloWGloPDt1c19UYD1oWm1lYENCQXFoRHFUeG9CQ1t4eE1IVz9XcGVYRU1UXk1GZHNIQkVHRmlERHNCWm9nPE9DUUdiPkl5VEtEYXltQ0lYQHFsaXV1eF1MXW1yRlVyaXhxeE1tO2lRbT1QdFFyVmhZanVNWHl0dV1veWFyYnFOYElwPz1uZXV0YXFOTXl4b2RXVFVVQlR4ZXl0STx1UnlLQ1VuQGV5a3l3eXh1QnR1amlKRWxMWllySXRRblhXeV1LdWFteXh4WFlZXFxodXV4WEk9eWp4aj9oajtZc0VZS19Rc09YUm9QV09BbHdUcV1xSmdFcjtJcm5JTXhpTE1pa1V0cWN1dHhwb1l1UWJsVXdkUXc8VHFwV09UcXVxbGNAeERpT1ddVVJRanh4eVlFd1xcUUxcXHhsRFV4QElZZHVVPER5RERzWkR0UU1ZYnRVV2VSYEFqP0hxUGxzRl1sXFxRVWhAVFJxakxsdkR0VD1oanNUeUpdWG9scGpNdW5oblxcPE1uaW9xUFFhXVdpYE1DbW92UVBhSFlSPWxWeEtyYG9zQG1tTV10aW5UaWdrV3JqcHNJZmVoeHdvYWdXcWZHUWddb3V2aGhCPltyZmtSQXVCPml1V3VgR3dwaXhnVmpUZmB0TnZWSXFvQXlfeWxZP2BcXF9yQj5pcl9uREdlaVdgX05jTkBcXGdmYVNQYW9Pb1I+ZV5Bc0tYbEBeX2lHdW94b0V5bHFHa1FxakdWb0NAdkl5dkxuc0RRcjt5bVZeWnRvZmlgaGFHdkZhYlRPXjw/anlheV4/bmJWcT4+cGlQaVN3clBObUw/X1ZOW1l3cEV2bE5pbkVmcXRPW2JfdFhJcXdPZF5PaU5AYFFDP01YbE14TXVIcXNIcHNTbEdjS0FnbUl3QklkeUNmZGV0bD1XVkFJTVN5YG9kZl9mTWt2Vk12Vld0SGlmbG9kVVVWP3NIQGdmVVl5dlNlZFV0QG1WTkVZdGFIS2t5eFl1SnVpeFlFcGtFVTt3Ukl4RUVGRllCPEtCalNZcGFXS3dkdlNoanV5eGlZRmFlc1NURlVoYnNzUXdncmdzdVFWeVFYeXV5Z1FWdGdTVWNUdFdFaEV1Ok9JR2lWdVdZP01DbllWVV1WYE9GQFdHRG9FVEFGVVNpc19oZnlGd0l0bWdWbHVEcGNSUGFmPGVVVz9IYUFWeGVGRmlEcE1mPkdpPGl2WkNYWGNTXFxhZWdrdlZHZz95dGpFWXZdWTxLWW5BRT1XVkFxRFxcP1lrUVJTc3U7dVJKTWM+R3lTQ2VAd1NSXXM/Q1dzR2hed2g6dXRPRWZmU1RgP0VkZ1Rlc2JFd0RpTXZGSWV5YXdMa3ZfWXNxQ2Y7W1RVQ0ZqeWlzcXZVW2lrcXJVO0dOPUdtXXl5b1JJb0VHP2diP0dbZUdpdXRoWUh1b3hvZXZEcVc+aXI/TWNjcXhnWWV0S2Z1RVVBa0Vab0NUc0JuQXlKO3VxeUNqd1ZvX1hBO3RcXGdYbUVVV11CYm1TYVF2ZWdJXldXRk9SW1FHak1DVmVnWUd5b1dUSGl3RU9GRT1mPkdpPExSXFxheUBEa21xVW5EcT9sUkhZdDpBckpdWGVxUFRUWXBhc0xsWXVIbUhQVHRFSjp4WG9oSm5dc3N5bFVVd2BQbFBxeEBYdWBgT0l0dWdYVUV4VjxhdVhgWWBhU2lxdU1BUFtNUlddakF4al1ZdEl1UU9seWBxb0hxeGdZdWtAV0tRVmtkc1xcYHFaRXJORVV2ZG9cXEF5a2lsXFxpcG5Fd1xcQFdKQW5kaHV3WXNMQHB1dVRBSE46VXU7QHJjaVU6cXNfYU5sXXhkcHJtQFV5eXZ5YVZLVG5RVVk8ZG91WUpzTVRHSHVPTGtGeHY/ZHFmaVRxcW9FYUs+bVVjUGxFSE9ObExdYGpzUHJfRU5rbXFNYHJzdFJ0bVNxbHB2QXdLWUtSbFF2TU5geXNZdG07aVFtPUpfXFx4TG12P3BKPERLa0FqdU1qT1RRanhyRHBvaTx4c1FMSlB0YUlxUXVvcDxtckR4aUVWX2lRdW1YV2hVUFV4XFxlcmRIbkdVbUk9cHNVeF5EbFthbkdVbXA8WW1pU3VRSmNUdE1sWFtFdnZ5dnZpTU9cXE9SbU1XTFFGaHBldVl2PHBzRFlsZXBScFldaWtQcW9TZXFNaWxaYW9mZHhVQXNwVXVZbUxmTFFraEtCXVNOWHNzZHVcXHFsP0xQOmBwY1l3bFBvYkVuTHBzZ1lwXFxJeWBAV1NMTVJtdj1Mbl08eWBoSlZhUWFUb1tRT05sUFxcYGpzUHJfSE5rbXlVRGtTbFBDXUtrbHB2RXI8aEtcXDxNbll0SWVXSWV3YWFMRGxsSmlUOmRZdGFsTkR2VzxuXnR5VmRXQ2x1bmBYV1VWXnBwQFh4cUlzZ2F3U1lvUnlwaW1sV01yVkhZd2l4aUFYa1F2cFxcdXNYWDxUTkFtaz5ld1RpcGN1eW9gc2k9bTthUXNNeD5ddkR1S0RMSzxteGZxd1JMUW5FUFZpdWdZT110c1xcYFFwbFRQSG95VXhHUVdkYExxPEo6PEw6YE5cXEBOZFRTRGRRY2xtS21uZGR5ZHlOOmRRQEVKdW1UPFRxUUVzPGVSRnR5aD11Z2lqV3lVVFR0cVF5dFlROkVqXFxtc2d5b1xcSVE/aVNgTXV0VHFJbXNYdVFlYGpzZmViRmZoQHNGPmhOQV5hQW1tTndaWHlzeXZ5SG5AZ2tRPnRoaGVgTnFSTmg6XmVLUGBsPnhNSFt0SGI8YXVqUHBjWG5FQFtTVl5fQGBhUWdXWGNRcGc7P2I6P3BSeHFuR2d1QG88TnNzX3FnZ2p3YXBZSWlhR2FgbmNmREBfYk9VeXBpd2s9djpJQktPdkppVHJNUz1XZjtZYkFTVmFxc1dPVnhXVXF3ZUptaXZneTtPZXV3WHlJeGZNWTtRYm9BeWBZZXFHZGlzZWxJZHBPY3ZnQjtvc11DYnBZYl8/RFlxaFJ1dkFvcz1PVXB5d3dLaVNtZlNdd3JbUl9PVU5dVnZzR05RdENTeE5lUl1hRERTd0pNclZFdmxBZFJdY3FVWG1VZnVvR3JPYj1NZ2FxdENFU0lFdHF3d1E/SWxdVjtLR1BAbTxRUFNMSlFgWHhtTkZ5V0x5bUxJV2ZAV0lta2xVWGJhanNJeF1xeXJBd114VUJdUFlIWXBoUUVkeGdVdWBQVjpBSnlUS3BpbHBkakRkcTpIdj15VFxceXhZeVVNbExjbVhjRXVwaFdVWFNCWHheYG5eTHdVQVhUPGxmZExtaXNUaEs7VXdQeW1SaXFZbXNXbVldcXJbeFZtWVRhcE9AUWo/WE1qRHhBeFhrXFxYYnVUXnVzWGhzaFlWdnRUak1xP21PPl1yY11MSXBXPGxwRnluWWlzZ0RxRlhQc0BwdVVzO3hZX21xbm14T3V4bklQb3hQP1Bya11sUVlZPDxZbWFxbkVXS21XZU1LVURUPGFVS0hPWkRqUlxcU1xcYXFVZFNoaWpGXXFXUGpBeEtdQHRfWHNBQVF2PVl4THheSWNoP3M/V3NkcW5peXVgeGFDcGZwPmNJdmBRdls+dlpBSHZleG94QXJWSXFlYWpKdmJwdltaQGN1TmRmeGs7eFpVSWhiQXQ8XmhkYXhHTnhheXBJeWxRWGBuYFtYXmFJdml5aWE6YGJlaWhMPnJHQXBjV3RgRnZUUXZmPmFJR2F1eG92WXhJeWFcXG9xUGdvUWlyWl5yS25xWlldcW5jTlhcXGhJeTpQYF5eXFxpaW9AP2dCaWFUXlp2QWtTVmBQR2ZUYXBLQWlvaXR0b2hZdnZzWGp3QXRVYHFoZmVSb1tpP1pQaXlfWGN3Tl1Jd3ZmcWpzTnBKSFxcYU9pc0dwPV5ncVd4TD9fZl5uZmdgU3BzTVhfVFFoanleeUZaZ255PFhwdWdOQ0dEPWVlS0hHW0ZUc2NNP1ZUa1JNV2NGZ0dxeXh5Z1JcXE93ZV1nV1VJT0N1bGdWPFdla0VkbE9pY1VjPkdpeGt4dUdpPnlyYUtWdFhPa1lySVR4S2RMT1ROWWFPSkFLYkR0V2B4dG1ZWkR2SzxMbHhKQ0hra11ObHRZOnV5eFlQZ0B3WUhYVGRQZFlPWHV2R1lNZlxcT2FhT0h5eXJZdklcXEtUXFxQQnF3d1VVRWl0ZXhUS1lvUXVPVnBRZ1RweT1waWR5SkhORUR3VklweVFwQnFsbFl4YXlQREltXFxgUEJJc1VlTUJZVE9wcUlNTVFtSnh5UkFhcTxwdkd5dUtEanB4eXV5dUFAT1VtVHN5UlVlS3VYamtAUmk9dVhwamVZb19tclBAU2N5c0l4UltAcll5dTxUeVBBSnd1UWFYWHRQbm1VeWRAc1RBeE1hTUg8Z0dnaXVXdmZQXFxgUVtVSGQ8YWVLSG9aRmh4QGVNXlt0bnJSUXhvV3dwSXZVeGd4YXI+SWtpaWZqd3NmP25CcG1lUWNiP1peQGpwcGg6R2ZVQGJZd3BoYVt4RnleR11oaGV1P15ZUXhoVlpOUHdHXnZMWXFTQHFhaVpEdmBhSGI9cWBmeWFqeUBnR0FFZlJFSHVZdHdJaHJzc1dXaVprVkhhd0M/ZVI/c2FtaVdhVVtbSF1LeFZXaHlDeVZHSW1dUmhPeEJBU1N3VXZHWW15eEpZaXFhWExjdnB5RGtHTldsVGhgTWd0VlJRVVg9eF9FUUdRUkx4cUlRSkdEalpoeDpZaldBVWtQVlVseXV5V2lkeF89SkBxa3dVS1hxdXB4bmBgWWhFc1txT2VMa3BUdzxcXFdhSFB1cXZzd15rT2hTaWRUXmh3QWA6b2RVZml3P3FEV2ZhQGN5PnVJYWVlXnNzPlpuaW5ob3NneWs8UWdCQ1ZvR2dHSW9XaW5lRVlhZUh3cnNFY1hNdUpVc0llY3dJVVFBdGtxd2N1ZGVDVmg/c0Y/WEhTSWhTeWNdaD5RdUl1SUdpUkdRZU9DdGF3U1VhY2dpZG8/aGpzVndjc3RFeWNNQkpzRD07WVRRR1ZbR1E7d113Umlzck5HR1VldkZTY2lRRG5VQmM7dFJBaUldVktxQ247V3I7YmFHU2tfRlxcc0lAQWdLbWNzb1RrV1VFeXRZdWU+eVV5ZXhQQ3VUPUl5R3l0Z1hlQUhbTXI+W0NVa0hGa0VYQ3dNV2V4QXRbV1JuO0ZzYUJBd0NZa0RtSUltbXY8dXl4WUhqUXZFb2NFUXdtXXdSUUhWQWlrPVRIYWRiUUNeVVNTb2NMQ0l2XXZaO2daWUduRXlZRWJyP3NFP3lbeUpqcFhncVdUPG5GYW47SWNIVndFWWg/b2NpPm5NQWBaSHhlP3JESF86SXdXUXh3b2hpPnZkUW5WcGhrP3ZxQGJvZ2ReSWNLcFtqb2ZQaHVscGY7QFxcYFFbUXhqPk5gYWZsWlFwVWFnd0ZnSGZlRlZ1d05lUEdrPlFoZlhqSXhsTXBlYFlkZWlnakBnbGZfVVZjQVlNYWNMa3ZEX1NBY2V2R1NuTURtd1M+SURkZWRMdUdBa2JIY3lYY2Rlc2Q7ZXV0b2hhVURDdVhsTVlFYUtcXExSO2xLPlxca3g9V0FAUFFRVlR5S1doT19RVE5YdGxQTm48WGNsdENwa1dYUGdpdWtAa2ZseXQ8TGpgTVF0T2hFTFxcWHBbVXJ4bFhwSVQ8SUpbeG15bVk6UHlubE1VcXBHRXI9eWpJRHh4WXlpWVZMYW5DPU1tbFZGQFhpRXNVeFBpaHVBSWZsb3BCeXl2WVhraGhldXRhd3dRY09zVT9ZZWlNeVNpZGttcko/ZVI/WGs7Yks7eE09YzxrRmxTaXJlRF1vU0ZPZnl5eVM7dkhRRFZ3SXllZXhzeV5dR1l4bm50UFtBVURYbGFkeWtBeWtdeW14eFJ5TXhAVjthWWJ4VGlQS1ZpdU9pTldscW5pcUhgeT88cXI9S1JteG1gUz9Nc2p5d2Z5eElkVjpEV3F5S194b3RQUltBT2RcXHRPaVNtWFdcXF1yPTxOWUVWYWl4QUVsPHRQUzxRTmVNdEROeFFPb2Bwdj1LRT1UVURSZ01vPVhxO3VMYGBUXFxgbVt5Ul94cUx1TG09bHhIeT9lVVNgTFNQTHREWV08d15mamBGdW5JbURncT9xckBJblV3cElHaG5BdzxfXFxoXnc8cVxcQm94bXZpYF5zWUZaP2Z4PV5fZ2l4TXhjZ2diWVhhcXdxYEFxXk5zRW9ocWBncWZqVFhaW194b3ZyWHFeS0FhRGZkZGBwPm93VnFrc0h2ak9fP3FnV3FpPld2QHlnTEBud0FrPnl5UF91d1hpUVZuQGdrXFxGdHhJYXR2aGhhY0VZcVtoYkVwXFxePm5FQGV2eHVyQXlyR2ZXdnZaUXRfVmNQQGt3T2dDeWxpYFp0cGhPeHJuX2g7eW1PWF95RmJOX1xcYVB4XXh5YUdtO25sX29mQnlkVXBaY2dqQj9jSHhyZGl0dUZ4YklkbmZbQk9kST50eHl4eUh5UnZgSHlreFZta1Fba2BlU19oS1FuQz5pc2l2dHBiUXhhcT9oaEZ3a1dzO2hvRUZqR1ZwX293bW95Q19nWU9iPUZuRVFkdlhpZWB0T1BbQUZyPU5iaG5oT05uc3B0Vk9hYFZaTmhcXEhHamhod1ZweGRwWl5AXFx5Z2RNYW9raWx2QW1wSXhVRmdHVmc8eHFGZ3hBeFo7Vl5GYW9wWVxcZ3hwS0dbbWdiYGhqeD9gUUB3Xm53QVdsZUFeTkBkRG9nWXFbQHdzWFhmamhpdWFbcj9pcnhuWElqZT5yaGFfUXhrZV9qc19qO1FidVdrQWZuWHlzV1hhVEB2cmB1Y3Bdbl5uR3ZlWVFzdkhjcU5tWUBjbm9hOmF5c1lianF1dVd3Vk5fZEd1cWdpTkFvZ05eP0F2YGhjeU52VklxR1BeXU9zRGhcXGVeYl1ZZk9Hb0xnWk9Zb1F3XFxpaG5EZ2w8b29WR3FaWXZdWV4+P2luX2huTnI8UXJqZ3ZEaVxccll5dVl2TklvTV9gclZjc2FcXExoX25pd1RpaUBwXkdvWkNIWjtYbnNGaFxcZ15HblpgWXNTUF5nP2NuaW5PcHlMQVtYZ3JjYV1qSWJMT2RGTlo9VmJMR1ttaWpFdmBcXFlraW5pUVhgWGhiY2dlPWByPkd4W2B4eWhbQHduSF9hckhlQ1RDZVZjV0RedWZZaVlBR0Y6ZWVgQXJmeWduRXdDdWdWP0JgU3R1eUV5SVM9UXlueWNlPVR2c0ZOZVdeV0RgcXlBXWRqc1hMW1h5P1VGdUdnQWdzUXVrV0VwT2R3b1JnZWc9TUk/W0g9R1lpY0RYbXlLT0RgUWtUTExhWU1jeVJCdVhWPU13bXl5eFdZSVd2PXlbeXNSSFFtWXNGbHdTaGpqRWxbbGo/SHFwUG9bTU9WdE5KWXNQaHhfREpzVU1CUHE8TWpecGpfWW10dWxMcFRwQXZHXU5UeFBKQVZheVRuSFdddVloeFc9bVVyRW5jbHV5dVl3RGtmWXVyTFluRVBIaE1VbWt1dXhISWs6UFNQXFx1VmFvW3RUaFBqYlhUYVhvanBrUT1valFwPWlPXlFVWFxcUXJwUlxcSXlXRFE9cXRpUXZXaG9VSVJmZHVGSVNOeFZJcW1XYFJvTXdhVEpNdW5kTUxLRHh4VWtTRHFTWVhGUHJPeFVjPXZuZU1tbXZmaHJySFhpQVVzSUtsQFE/UXM9dFVGWUpQdHlCXFxNVEFOWVl2VElKTXVSPFRueVFUP0VrTmxrW1BLQ1R4d1hXXmFQVV1zT2xzPGhPTWx4QlBYZ1xcV3JZWE5AUGk8V1tRWWddbGp0VF5lSnh5UkdYT3ZcXHhvbHBKeXNpZUtkdXRoYGpLWE51bVZmdW9mRFJVSG0/QW8/YXVKVFdtQW1hcFZCQWxRQHB0ZXhDTVRMWFE7UFJpUGxCYHBaUXVPYG1edHR5PXBlSXVVVVdQYVlAUHRfWHdcXFBYX3FMcGR4PWFNeHBxXz10W1hyUVBuP21SWHlyX1ljW3F2R1leQm5beGBiZ1FgXFxYbj0/XFxZdnNjbl1feWhMaGF1eFp2aHFtWVtlQGlLUF5PQGRkYGRnX2RkYHRWYGJoZ19CeV5USHdBdnhdb3ZGcXdyX3lSV3h5WWtJRlpoZ3lHXmxiSWZTeXhFYXVPSGJdZ3F0Z3BAb3dWcXVjcFxcWWdxZEh4TXBfalFua2l3cz5ybnZpd05dVmllYWhoPV5vd0FbSXlaaElhO0hyWUl0cT9lRk9xcEBgO3lwOnh1QUdja293S1Bvdk5qPEdmV2ZsVT5jcWlgSF5oREBuZUFiamZbeFFrdHZxQlB1bT9zXk5nZUhva0dbZUFkZF95cmFsWVZsbHh3cnZieXd4QWBcXGlxdmJ3dmBxdlBobV1RdVY+dGF4WlBub1FvZENWaD9zW3dFR01Id0FZQE9SQEtiUHlIcG9zYkdUeT9mVGVobHFnUT10P1VXa3N2RUdJUWtmWnl1eVdlX0NHdWFXbU9mcV13UlVEZ09VT0VySGdFUV9SO1lFTndIXUVVd11YWDtDUkVSXFxVVFA/UmlnVXVPRjxTQj1FRExLeEpdZnVbeVxcWWM9b0NHa2Vua1JYX0k/XVI6SWdbPXRjTVhsWVRbS2NTaUdfc1JIX3hDUXZcXG1jYXdTTT9IZW1UWUNWT3lWVHVoeEVEdXNYWFNyTXliYTt3QGFZUG9XRGlXX0VoYFNUO2toS3NmOz9nRT1zU1d0XWNzbnNlQ0djSWV2PkdnO21iYEVFUU1IT11mP2N5WE1JST9CcmFZc3l4SUV5UGlXeT1WaHlYOkF4Qz1UP0FjTmtYS1dHWTtUbE9kaGNXXFx3eWtjRkZpZTpDUzxnRW5RaF1jYz9ZZ0J1R3ZVU2lfVUhRaVlHZVdldltvVEdPdXNzQm5VV0ljSEhZdmRtSGFrZ0xrdkRfRztjeUpzRWVNRz1PeG1Zck5taTpDQ0NDY3JVdkd3c2pdd1JRUk5HR11RUj9hVXZVY0Vhd0pbVUpDYz5vRlxcTUZfaXJXPXZiT3dYR0dzaXhRcUliV1VxWVleQ2hyXVZRb0RdbXlgSVg7UVRKd1JYPURtZ1JET3lcXHlSTGNjPXdCeW9jXXlyaUtmP1VjW0FjR2dDQXlXeWdYPkFla1NZPz1SX21SPXFkanVTSXV2P3N3a1dZR1FkX3N3XFxhdXNneFxcbVlGQWVxQ0hzTXhiW2V3U1lPc0V5XUlPPUNuXUJnPURjcUY/RXRga0dYYVZiUVNtYUhLO2l1T1NGTVhoU3hsZXZEV0V3a0RhbWRrX2Rhc1NMW1d1QVJJWURXc2JKeVdnS1JAS2Jsc0ZjcUV4V1hTO3RMQXc9dUg/T3JsPXVJYVVlW3NJaXdNR0luaURoY0JXVWldR1NpW0NeR1NoX0lQQXRGUXdvPXY6Q1ZIdXJGU2ZdbVNbR3NpX3NnV2c+R2lcXFNzOnVGeD1CVz95ZnlnPFlGX2FUYFt0Sj9kQltYY1F4Q2tDVjt5VWtJeGtHbEF1VGdSc0VSTFNWaEVUbG1ld2FzWWZ3aXB3Y19rVGhgRT9mPkFrUUd4QXVoQ2RAQ0RPdWlOSVVjWURdZWZSX0NTaUZmSFFibXhNeFN0WXZFeU9BYFFtRXBiXXRiUHFCcXlLWW5BeVZCZEt3SFI8dXFHRGtEaXVIVHNOUWxTPVV3UFlGbHhnWXlFXVNxYXdTUUtNcE53PU9gWFdPUW9CaE11bFZaZXNUaG1ebHRhWHZAaWt1TXRvaGp5WFRIeVVoWW5hRVJ1eHFHPXF4YExpbFVKdFV2RXhQTW1BUXBAPW1BaGpfaExlQG5CRVJJeWtfeG1zaWo9TVh4ZXNpUVBNWGNfZ21UaV8/b15hcHhlTmBNPlxcXXlpTj5rdD9bXnFoW2FzWndzY05tblhzTUhnbGduU2hkZ0BzTkBmUEhoTkF5QD5mTFFkaWBqc1BeRUdieW5wd2F4XVdpWXBeeVFgcGB5RkltZUBpZWlva1FeUV9odGdaPE5lR1ZxbWBqWT9sUGFkeEBrZWd1VW9tW1drOndgd3B5ckl4Vz9wZkd1Q05cXGt3aDtYb01JZ2o/eEw+eF5eZURmcj5BZ2twY3Fxd2c+eG15c1lGbnZHeU5xdGpxR29Ecll3aXdnaltXUnlDQmtDcHlyaXNpbnNyQXlFaVVYRGd2dlNmW1VTc3NmcF11c1d4cUNIWVFpbzxVckBYPExwX1VYPUlyPXhWP2huVlh4Q3hwaXV1TnRMaFxcb05EalV4UXhBUVFEUGtcXE48dE9HTWxQWHh2aHA6QHV1PHI9aHdcXHVNZkVXSWlsZWR3O1FWbE1YVFhrTEVsTmBWc0BrcWRyTXluQ0F1akhWWWxrVkRRSWB5c1l4QkhyQVhTd2RXbHhMeGlxR0RdUkB0QW9uZmZ2bk9rRXhpPG5hb1locHdzTkZtU3hcXGRBdGlfcWJmZU1Zal9HaGVYdlVhbE9hdW9HdUJWeGhpXk9mXW8/YEd4b3R3aUxxXVZGXnZJXFxeb25QVnJVZmhOUFxcYFFLSVJhc3lmS0lrWVdNYWZLdWJXaWRlc2hFP1ZKeWd4T0VMR3J3U1M9T0RPO2JBd0RfYVhOPWlDZ0RnZ0N4YVNVPXR1UXl0QWRqc3lMY2V1c2M9WXZiV3NuXXVFeXNQZ3RmR1U7c2l4UXlDS1VvT1deTVhpeVd5Z3VPXUR0R3Zmd0hma3Nhc1N4RUVdb1JnTVNxdWVtdVZMP2VyYWI+PXlVQUl2PVVUXXJya1ZbZXdUSUdCV2NFd2Y7c3VxXXhXT3dEO0VrTVk9SVhdcWJbWWlpcWJFc0RaR2hddXlJU0NQW1daV0VwSVRTYUh2d3hYWUVieXV5V1JAd1lQU1Q+ZVI/UWZNdWZJY1JQVUZnc1V4RXlBa0ZIXVlRc21uPWplYUtkZXc/eG1IZUtyUUtyeVFHRVRibFNdQHNPTFJleXBrbVd5YExTeEx4aVduXFxXRVxcV1M9TmF5eEtwSmVFeEBcXFR2UWplSXJPaFFjUVVAeUxdeVRGXW9gPVdjVFg+SVhzPFBvZXBgUHhieG07SXhJTU9bbW9CUW9qaW1QWG92ZVBxbHBqWXVpdVZacFRnUEtyZXlvVVR5eHJGTGo/SHk/dVBzZXVIYEttQFhdVHlXYVVUdWBBdnZJeW86eV15X286SW9Nd2xLeGF5b2dMTndpUFtLQG1ddmpfRlpiQHJBdl1ucWpRZE1TckF3eUI/aGpXZVJfSGNHR0BdY1JlZGhFbXJUbFJAbWo8eXNpeDxpZnFPa3NxWHFGUlVoYHlEVl9Jc0VDPWtCdmVjVXVoPF9mRT1UeHFiOll0YTtSPklTRndFeVNDT0tHTk9mX2lFa3NZeEFZVDtpbmlyZkdVeUF2RGlkdTtHVF10UV1ZUWlFdWtIbU14YVNTR3NUSGlEXFxfZW1pZm1nYnlrR1JzU2I9eEBxZ3NTSXBdRT9haXNVdmM9QlBnUkxdQ1BhWVNNaVlbZVNZR2F5eVdHQ05ZV19NSUpxVFs/SD9VaGhLdFdnYlljWFdZaUBbZXk7Q05BWHd3dXNPUmpNQ2BnYnNnRD9DR2ZXUk1VY19ZWFRfSV53eHBxR19bc09DVUxLSVtZRGJhYmFVSD9zY0BXVD9ncm1ZVnRxeXd5aUBJZj1VeEplaXRFeUZ3d1pvSV9TR2RRYjxDdUFhVV5tVltFVFpBd1p5Uz1pWE1nYlVPc05HR1lTVU1ZdU49aF9haTpFYnZbRnhzaUtDQltXdGBnaDt1eGh5eV1DdnlJU1BHaGZvQj5bZTxhY1NjST5Bdj1HRXI7aE1DQ2Z5Z2tjWGRRVnZleW9hQ1NHQz9XeFF3ZHVVRWpJR2VzSERbVUlbQmdXckJJTFtIWF1RbTw9blFZb1FlanBZUFBJWVlcXHI8bFZJcVVlbG1kRGs7bVI/eWtudW1hXFxWWTxYcWVKcHRXeFxcalRlcHVBVnNRcFlAdHZIcUthTkJFbUlwTV1Aam11Sl5Ydzt0bE11UXhoVVRlUU9MS1U9VnFdclRdUVJZdV10dnF0c09NclZpWHN0V2BFWUtNcUlIWUpwbmpsVWxFdXhdS0VhUXlZbz5IcVxcVHM8dVFeQFRHbW5QTHFdUXJBQVhzdFFoeHdUaWhyTmluR25qcFxcdWZrPGluc3Bgd2BtYGFzZl5tSWFlTl5hQ3dtWnljV1FxSFhjZXh0d1hpRV93VGlkUnZvd3B4S05iPVdealBnT0FnVk9xblhcXD1wWndpX0xpXWBvZFJ5bVZYa2Nmb1dXeV9OXFxNVnY/WWlNbl5GYFxcaD9keXh5eGBlckQ8T0JHR2JMaVk7X3d0bWdEZ3J0S2NuO2NLSXRRRXRxd3dRT0ZiQXVfVUdKUVdyX1hjcWRCZUdkO0dYaVRhS3NTT1JpU3RnW2Y8O1htbURYW3V5d2JIY0V4W3JrWXZFY2V5O2hvXUJmW2ZUY2g9a0NpXWRtWXVRQ0dbbWdqd2NwVUJvTXJ2UXdjPXY+Y0NwUXdxb1hodWVOa3Jqc0ZGSXVEbVROT3VXX1h0a2l4SVNrbWVoSUlhZ2Rqc1ReRVdiYUZ5U1JcXGFZSltWXmlYZGN0dGV3VGlVbnF3d2lCcGtXdmlzXFx1eEdzYj1JZVM9SWdNZmJxRUNvdkJBWD1PUz5vY0lreU4/SWA7U0pVUz1xYk9JVFxcX1JbQ0ZGSWVteXZxS1Z2QXlUX3h3cVM9VWZAbXZMaXJ0b0VJa0VWZXI8Z0I9QVhvUXdYd1ZpSXhNO0JwdVlcXHlGTllEYWtzS3dXUF9ZPV9iV0dkVWtHeWN4YnNITjtpcmlJQztVeV1Zd2l4WU9GQll0T0VjSXdTOnVleFNWS1NFVXNCXklnQHVlQ0FjWWdoUUVIWk9zUj12dGFDPmlSWD1yTkdHRUN4cXl1XVFIeFR0PXBwaU13Pkh5Z1hrblVNeGBSPWhvZGxzZ1lsXFxkcVpVd2FAcUpFdG91dVd5ckFZU15gbWxxeHBhdkVQVk5YUkhAeDxlV1pwUk1hVXJ0WUpNd2ZoTk1QbEtFbnBdTGxxTGxddz94dEZcXFdnaXNVeFRAbWxhbE5gZE4/YXJ2bGtQYU9EYHNCcVlyQFBxZE9SdWpdcHVXbE9GSXd5VXI/bE9ARHd3aE5McFRiRFZoQHNsQVhaaEp3QUp4PW5DeVdGaE9ZcXBnQUt4VHlmTVFgcFNvXVlDSFlFSE9WTVtzWFtbbm5NYVs6ZmhWP3hhYHJraGpib3ZJeWVhTnBYQV5VeF53b21QPnJ3aW9cXFBiYWFtc2Z5az93SlFablF3b2ZcXD9Ra09XaGJJYE1ZWmhOZW5oZkVhZmZndXRZYExOXFxYVnNxVmhNQGJFcWxNRnNJcHNaWXZJeG5aR3dMeV1DP3F5XmpycWdFdnBGV2lhb11zSWpsVlo7WF1tRnhFeV9FYGI7Tm5waGdVVnVYSXE+eGJsVmdIT1xcQ3h2XmFic19pcU5xRnh2aklucVF2Z3d1aT5hSVZ5bkZ5eVlzS1hdYlZ5UE93Vlh3VD9xREFfUWdrX0ZmeEd2PGlbdXBrY1FkTkBvYmZyTml4bU5oeEF0dGdeRllwYl5oST92S2d4VmBoeT50c1lqaT50WW9hW2BpSmZdW3FqSVFhal9sd1dncmleYT9tYm53UXlveGZgbUhvbXhtYT9xXFx2XllfYUdfZDtYYnRnbl1QaVVOdFR2c2ppW19vX0k/X1tvb3JvZXJxa1RnY2RnZUdoX3ZpeFFpXlxcVmRFQW47d29fP2dhcG07UXJ2XnhoYHRMSWxgUGBtQGdrX2pVWGNcXGhud1hgRVZxP0ZoUHFbO0d4UWFub2hgeVdaWnF4PD5ecHFgaG5lVlFqaXlxaWhrUXBlVE5rSGhdeVBieGF5X2BdcF9nQUdyU3ZkUml1Xld2QHldSkZcXGt3Y3hIcz1ga0xmdV5AXFxHP25lcXY/dmlmUXVvX111eGhZdmpheGRIX3J3bm5lSWluaWhMbndgTmBkZ3ZpWF9weGNIRnU9SGo9cHJbYXdTaGZiXmVSYWhYV2ZIaWJ4P3Y6SV1UPnRWaHJjWVRlVVhTWEh1aGJtYk1zRnZJdHV3eFJddGdXVVNjU1VvdEBZY2lrdDptc1ZvZlc9V1B5Z1l5RlZVWD5bR0RpdW1BZXg7U25pVGtRVFxcX1JQU3NXdXVuaVhXP0hhUWY9ZWl4Y1N1PWJcXD9UUldyaUN5dGtidUd4XU1oU1FlcT1pUmdzcE1ZaVdIZ1NDcE1WSWFEVFtIT1dyc1FiaU1zYXNnYkdrZk1qSEhzeGh2WVV3d2hQV1hLWUR4PlBMYFFrYVFKdER2WVBXZGRZV1xcblBVclJRUT15akldUl9Rc19dUlpwVUBYVEJoanNJTmNobV1oT0tsdlRdd0s8d0hYb0pEc2hlTTtJcls9UkhNTGRlam5ETVNdcUVNSk9tcTpMUnBVSjtYd2phUGNsTHV1eHRJdlpJcnNBV0xhVlpMVXFweVJkUkVQUVlRTlN0TVlkTz5EUXVRbEFoaldRdGc8T2pRbmZAdWNJbmM8eV5JVDpwSlZkdz49UmFUeVB4S2J5dVhUcGF1eUVcXHVUWEtOVXlAbVZqRFNFbFhxRWt0UGt1SXI7QE12PFlWbFBmZ2FPP2ZmaXNVSGpSR3BcXFddUHFvV2lqXXdyaE51VnhLYURQX2lZa1dGc0RAT3ZOeWR3S1luX0RTdVhsYXZDRUVoRURSO0U8ZVlUc0dhPVk6ZWRxT2ljWUJKeXY6aVlTd1l3PXVqb1dwY3hLaVZjV3U8bXZsc3ZaO3RCP0RaO2JXSVVkT0l1d1REX3NGd1VsYUVMS3Z2dXNzQVNtcUNFV3hdW3hYWXduX3dmV0R1bWZKSUQ6U3Q8YUl3S0JfP0lVU2NQPXhtZ3R4TWVwRWJMa3ZEU2lbQ2JbaVI8eXhrV2h1SVZIS3ddXURvaWRna3ZWVFNkYFVpXXddVXVdeHJSTEw/VUtLXXFyRW5GaHdWdEo6UHllbW5dUVY7eE5OYVF2aG9SSWpnTEpXSVA8YXl0aXh1UHZDWGo6aEpibVB3WHNEVHlTVXBleEpFYHVaaVNeTHRxQU5rRFBIXVRGYXZQZW5EVVd2UHhEWVFiaFRlaVhyWHFVUG9rQXZyPVFNUXN4aFltSFhuQXdcXE1MbVBZT1FQU2lXX2BSUWFsT0xRb2BMZ1VLPmhNSkxOdEBVa1BSYnRUaEBxUnByZ2lybkVVeVVRZ1lqa1h5QUV5Wz1yX3hNa0hXTUlSa2lZa2VST2FyPmFOWzxud2F5UFVUWW1TX1BPXlxcckltTERxbGc9U2FZVm9dTGY8VVhkSkRcXGxgRFZXPU1YcG1zPWxHVXh3dE5fZFE7XVNGPVFcXFROaVl0OlF2cGRLSnBPW3F1d1hYcmhYZUFNV1h0S012Y21yVGlwdWhSbXF4cGFMP1BqWHlZeXhQVGxQZnBObFhMd0h5YHlwbmhVPmRLXlBzQkFqSVVUXmxySkFLPGhROkxsa1xcWGJ1TG49d0phdGx4T3VUcFpZbFE8T1FVUmFlUHF5UWBganNQcks8cFlgTlldbW9IUmBcXG08eHc6RGtteXhCXW1pPFhYdXBOTE1GaVF3QFhiQFBhZE08WWo6SHR0dVd3ZVJ0YXZTaVNCRUttZWpHQXRDZ2xFdm5qP3ZBT2BnYW1WaV1FQG5NeFlleWhpU01fZkxTVFl3eTtHYls/d1BpV25reGZJZT9NdkFZRl1RSUBRYjpZY3hvUmddVUhZUlQ7UlFDR2VVckhfZ2tZUnFdU3B5Zkl1SXdpREltZUo/c0lZVFc7c1FVc3JRU2ZZQldNaGFjWWBLRHBHclU9YkFTST51VWljVVRxR1RTQ0dtRGFpaGV1WEBlaGRlV0M9UmBZWEJ1dW5JWXRhSEtzSGhdRUBJeW1ZZWpNdj5RR3Y7WWplRl9RQ1hpVl91RUdFaV9fVm1BZFBdeFVXaD9NZz5pVkVxWT51dGhXZktfeEpfQlY9V287ZlpHQ1tPd09dVUhbVWhhRzt5TnlpS1tJdklgUjtNTlg8dWJFWHF1eDxleGRpd0tVcGB1Uk5lb1RxSnhwcVBodHBAeG9pT2Vddm1xTkNIckFpckVYVWttdkZ5WW48anJMTzxUUXNAc0t0UHBpWGlUVGBAb2JgVERxeW1RTk9ZVnBUUHFgSnBlU0Q9WUJVSmRQcFJwUXddcGNpWG1UT09VTWNhanNpbl1QUHVwajxFVklsWVxcPXN3SUxDRFhwSUpdVXNidHlKQXl4SFFZcHVdYXh5dHdgXW5ZSXFcXGRMcWlzZnRYbmhydnlUYlFvR1BYWGR4eWhoTk9yVkdmb15nW3ZuUXhfYmhrW3B2X0hpaVhfQ3B1b3BjZ0FtP0BkeXZwTXdpU2dkRldgcGB5Ykl0RU5yZ2hqRU5yXj9fc1FbS0BgSUhsTWF5UmZ1YEZmaHhrc1ZfdFZxRD9wT2F1cGFcXHhfXXJWeWl5cXVfZkhZZ1BmbWBBZllpdlZGcT53dWxpdkVpa0xoXkVWbEpvcUhAcXJAY1tHcWBxdkBXeWRmZGRwYGReZHJHW19YY1F5bm9PZ1tAZ0tRczxfcFRPY2xPeE1PXFx4SFo8UWhWPlxcak9tPkZ5W05cXDp5WmtBeWtfYkRoeHJ2eXRHd0xpYmtPeW5Ga255bmthaGVgaTtheUhJdXFvYV53YFxcT25pSGt2d3VNbl5GQGx4aXg7VnNecXhYcF5oSHZmWW9YTmlKRmtreHBqRmhcXHB3VF9lYGBjPV5xdlF4al5gZj91QV9bTF9dO29wZkd1P3Fpc2hoYkF4X05iPXdnQnZgXFxoeXV5ZltJdF1AXmZndXQ/ZXFQYGFwaG5hYF15X1hOYnl5dkJYdFxcZnZddlp5UHlyQWV4eXlCYWROR15bb3F4b2xWcHFwT2VgQGBPZ3JAYFxcSEByaUZ5SU5cXFxceXRiT2drZmBZZ3N1aHljaHFGd3dJYG5fWV1XeHRzeHZUeFpgb2x1Xl9ScGJtYXR4WHBgb2xpT3JZPnBlaG94UWFEP21lXmc7eHdMd2c7V15EaWBGR25NbmdtZm1aR2hIT3dNaGRKd2FhWGR5V2c9b2lIYGRqaGJLWGo7R3VXQV49QXNJd3F3QW5VT2h0TmppWFxcUEFxYUBtPGF0eD9hUmZ1cEZmSHFnUl5tW2BiOlFqTVlzPEByb3leS050X2hqcll4SXlfSnlwaVdhVmhhdWdkQl5lcGdwWkdsWGBtVmBqdXZoSE9rYFhyR0ZpbXFcXF1GXldPaz5GbmlecXdYeE1AYm5RYnBhd1hOckxuc3Nucl1RdlxcQFxcV2ZdZF5iYT9pcmltYUdpQWlbW0dgWElvTVljYkl1bWhgVGlwZU9iXFxnYUhmXFxlZmg9P2dCP2xueWpxZmxfZ2JuZ2p4ZF51R1pRdElNdnZDSW49V2hLVXBfV2JjR0l5SGFVQk93SXFrV3NtY0ljQmhhRz87U05XV2NfVXNnRkNvdms/Z1RlSHdZeFVTaGVbU2Fxc11pcmtBdWFvZW1zcz53YllxZEVTQlFJc2RlZj9VSUJ1aFVTUlhzQjxzWFFNY0NJc013ST5lZXRjZExpaXlvU11fVW9NeUhLaEV1SW15Rm5FSXV3WUFvaVFPaEhxd09PRmU/dlFfaT9fUnJlRUJFWGhnZ3JDc2hnR1U7d3dteENbRUdVdz5DSWd3WUl5RlNLVmtzRkdJcj9TVHh1dHVVc0lfaEJJQj1peE4/SFE9TXREbFxcPXc+VFZlRXlsZHFxaHB4VFR5PFFheFRwRFBMUE11PGxUZHNZdXJocUpvVFdQPVJVcFBpbFY6dVRCXXdfWU9mWHRIeWs8R2VkUXRNP25tQGlvXl92bmZTVmtRdmdMSHdsQXU8bmVmaWhFcWB0eHhJQHBGd2Blc0B1ZXhLaDpXU2dPVU9jUl1RcndzaGlVU0VtdztZYmFFZ1dHcm9XVztLcklLZXVxeWJJVFo/V1BRVGo/VnhbSGRdVFdjU1RfdExLQlRXaE5fVklxZ20/Ymxtckx3RWBbaUVHRF1rWU5PQk9neVtZWF5PZ0FlZExzZWw7YmlVVFt5V3hpdFF1WVxcRXY8eXdLVWdwdVU+Z2JMP2N1d2hAO0dPWUdfUXlbdVJCXWRpa2RQRVlqbUhNT1VuO0dzaUVPU0dUT2c+Y2V4O2hpc1ltcXZpUUNFY0l1SXlpZ1V1aWh2TWRKW2g7O1lCVWJbT3hpQVNxV0Vnc1NNO2JVU2g+WXdldWd3X2NJc0lmWWRbaVlIQVRsPVlKP0Rhd3lpPWZgY0ReaXVlS1NSV0dWU2NZTXhXTURbYVc7O3Zhc3NWb3JRVWVkd2NFa0luRWZfXXdcXEt5bWNnUVN2Zm9HVF1zanVIcGl5VXlSZ1tjVD1nO1VDO19oQHVmdnVzSWl2XFxNdGxLc1xcbUk7T1VDZXNuc1Y8R0hUbUJURUNtZWJHPWRyc1VITXZWZ2JnWWd0dVd5RVJpaXNgZ1ZTT0ZHW0RvWUhYT3lVaWVgc2NLVUdbPWlWZ0c8YVV2PXdCSWQ/W0ZaT3R1Y2lZQ2NfYWl4T0lFYG4+RU9IWXhjeVVJXFxvR1lWWHBMdFl5a2h5dEFPVj1VUlByZ0h3RE1WOz1uZF1zZzxOdkFwQnFSPHF5Q3FqU0VTUlBQX01rQ2BTWUx1ZnVNa0RQSWhqT2RxQ1VscWBST2xTXnl2TDx4XkxvTVBWX0BWXmFVWGF3QFVyR1hvaE14WkROXFxhcEJpeHdxeFVpVWtsWXZBWEVQSnNFWVdJTW1sVERhUVhJanlRSl9oT2I8a05deW9FTkZJUXdNVmhgVVhBbXF0WFZsVXlleV1Fd3l0cz9MWWxxdEpwVGJBal9hWHVMdWlsUENJbW10UGdYeFdMVW9QeWpJVWpxbm1Ac1hodVdgSnRZWWJ4VGl4TlB1b1hUaj15alFMSmtFUlxcSVM6TFNvaXRzPVQ9YVdEPUo6PEw6YE5cXEBeUXhbUkdiaXlaXFxAZWtRanJZeWl5Z0dweVlRcFZmXmVOd0NWaHR2XlQ+b2Q+bkR2Wl15bEZpal5uXkxAcF9IbHY+dXFPb1NwZkNWZT8+cWR3dGpOZXB5YWtgc29hamZwW3lgdmVgdElvY1c/dFZRam9IdV9XamhuX1JHbGhoaWxwXW1vXFxtYXFuZ3VtYXBBWV46cHBhYWd2dndlaXFvcW14P3JhcGFEP21lXnc7WF5GeWNKV3RQYHNeWVtEVmVMeWFvT2VJYG8+cGlSRmJuWWpbZ1xccnhcXHRAZkZ4ZnZeaVJmalluaVJobTtueWBxZ0xRYUhxd2ZGZlR4blJIZjtwWjxhZVl2YlNHdGd3cVh5YXRfbkNeZG9BY09AdmBmYGZObz1edj1ubHFwdXRnXW9Zd1VvbGNRandBbVNRckdRZko/W21vaG9AeHBWYEJPa3NIXz5IaV9UY1VjbVd3amdCd011bkd0Ymhyaj1OXnVtQGlQYWR0UmVPX2x3c2VyOkBqV3VXXFxYbl11bVNVbHlVeUdwUWFpb3M9Ul94a19ZV2ZgT1J0cnhReGlhcW1gTT9QS1M9dkFxbTtgdkNZVD5weWFUS0p1bkh1UGY8VWpcXExrSHBJRGpVWXhfdXFtZVRcXEhSP3FVa2l5aUxVckRqdHFXdHR5dG1sW0BtWHl5YlxcdmhNdWVJT05seFxceWxmeVM8cWxZZG1HVG5waVFubXRTbVlmZVBXXFxXT2VNaHFQT1xcVU9MdElBcUpYWDtcXHlaRW1qdE09dW07aXQ+RVFdbXNcXG1zalhRRWlXVW1YSHV0SW14SVxcdlZteFRlb25gbWh5Vnlxbm9wcUxsdkRWbmN2aElJcU1xdUtZaXVfWlFHdV5oZklmbU95X2VHbnhwXV1wYW1pYmtHbmtodkNGW0hYXz5ZbHBOXTtod1VfW0J2dERWaHRnaVtwa1Nod2ZpXFxiSXBwbkdjaGV1VE5vWU9JVkE7Yjw8U2VoWFRdallkTDxIUXFtV1lcXHlyWXZ1SVdpeHY+TW1xdmVeUFxcVmdwZHdqblBcXG1AcHBmWlVHckNfbFFGX0w/Wj9Xa1BeXFxpZ2NYYGFEVmlxcW1OSHJecHl5RnRsR21MUHA/V2txSWdZeXFadmJIVmQ/aXZWWGNXUXFXQWRkYGRXXnNUaHRBdnBoR3R5WV9ed2xKZlZJeWFZYj5XRUpZWD1FQndPWVxcQ3ZEaXVRRWRIQXlDP3Z5c0lHd2NzeVZKR3dPY2hJR0ZzYVZWX0NwT2ZJc1hVTVNpV0hiZXlNb3JxXXZua3M7bVRmV0hfR0dhR1R5d2ZgPVR5XWc/YWU/YWVbSUJNZ1M8YUVsc1Zzb0hfRUVZPVRYWUhvT2hMa15feWJkV2pjSGdtV1tsaXI+WHhFaGNxb2RBYGc7YHJzUV5HaHZ2WHFtT2laaFxcYGlyO1hvVFhnaHZmYHNjdWZjQ3J1YUNVZUJ0TUJmZXNGUXJzP2h3YXlQQUZwS3dsQ2NKTUlHS1NvcUJsVUVDS0NeUVRrYXdxZVN2VXhHQVRbW1ZXZWRZd1l4QUNleXRpeVJWXXRfQ3dMU2RJQXM6QWM9O1VTeVR4W1VgZUhTU0hgPUZsZ1ZNd3V1U3lld1NWP3loS0lvTXlCPWNsbWhuc3hjWXh5TXJhV0ltO1RqP1ZzW2NYY2lBPWNtWUhhbXlPc3ZZbXV2R3FleW9BUFF1WFdTVGtpcHFqdHNObG1zTWtmQGpZTVhOPHVhYVlyWHVGPHNhdHM9SU5ZYFI9VXh0cXBiVXJXQXlgRHJcXGRZc2RXTTx2TnBxSHRMUD12aExteGxwPEh3VXhzZD1xallsbk1xeXlyTGlwVHhNO1RtRDxxbEhPOlxcbHBZVUdMcUR0bXZVbnhVbUh4TGBNV1VkTkZpXFw8cGNqWHVuT3ZreWtoeG9YWXU9SXd3eHVMWGxHVnNfQHF2Rm5IWWFucHZUcHJ4b3ZzXnVTSXJXPmlUQF8/R2ppR3hOWHdSYHJQdmFub2tpTnB4dmdyR3lsaV5qcGhnYVxcTG5tWU9edl55aD5oX09rbklaaUZ0PWBcXGR4b2hnclppa15oeV0+ZFtQYkNfaXJJZllhcHE/dzxebGdWZUZ2bXhPdVlvbmxecXVQY2BxZlFxZmNGZllkZWtVbG1UU2NTSnN2Ykl0aW1mQmF1TTtEanVFXWtSdmFGYFdYXkF4OkFkW1NjSnVpeGdCY11GVz1DSGtDV0NIXFxlSFBzR1hDYndZeWFVQ1FnZjtVYkBJVnNReENFRzxvVm1fSHNpeGhJcklPcl5ddUFtSEVtQkJRQz9XQmpZU2BBR3F5U2NxU3RDQ0xpVk53ZURVd3Vpdk9ZdG53eUtRSWZFRlphVFFdZWRFUEdtc25heD1tVk5IdkI8WHA8clM9bERYS1Y8Vm08Um1hVDppbFtVb3NYUj9IUWNBTlBBdW1FbkVsd1doUmxAc2ZNU0ZlTkZpTEhAVmBMVERUWHA9TmBhVGB0akd4b2hEdD5sVXhgS1M8TDx5aztxS01JU3V5U3RlWExpcEtBa2JteG10Tzp1dHR4SjtMeHdsWXdtTkZpb09kdVBQVUtJdUJVVlVFUllsc1JVWHNReGRda1V0dkFIbW10VF1Jdz1ZTDpdclNFbWw9bGd4dkt5VF9FUltMVmRhdEldaj9FdU9JTXVseGdEbEBEbD9tUGhwU1F4bT9YT1htSmltSlhAc2tYVV1xcm9cXGpJTVF1eXFlRUtFVFk+cFhncXVNVHVrPVZhQXhbWW8+RXReYHNCdHY6dU1qPHZpRHhzbHhoaW1DaHRleFhcXGlxcXFOS3l5cllTYXVYZ1RWWlFqWU1VUnVmPHlldHl3Y15cXFNGallPYGFnYHNRbT5BYGFXeFpJXFx4dl5WP3RpUGZQaGNtdnNHeHRDbm5vR2VCdl07YHF5cW1sWGFtWHNqd2BwUHBqP2ZkdnVlSHU8b21QZ1pwWGtUeHRkT2lpaWVcXHB0T1B5SkhdTEFfbXhtc0hvOj5eVU9gbUBoRmllXWZzbmloUj95TkFiQ1ZoP2h1SkBtWFljXFxWbXk/ak9feFhxZltwZ0w/bU1mX0pQYERHbT9ueW1pX0ZJbTxpbm5OclZAW1t4dGRwckxpYFRXdnRQZmhndWJXa3Q/bVBebUhAeEl4YXh2XltOdVd2XXlfYU9PeVd4dVlRXlVwakl4YWh5alF5ZUlBeU5BanBAcjt2blY/YmFYYkF4W0tmXFxvZ2RIbl9uXlxcaW5lSnZhd2F4O251dldwXU9rZmFeVlB0S1hgckF5dXl1TFZ4PXZaSHFjUUdkWEBtcmFaa0l4S09uUlZsYXhmaEdeXmhdR3ZpeHBxd3d5SXBxPUBcXFZQYW9QZXJoX09nb1RvW11wYnNweE13W0FAdl9Zcl1YXFx4eXJESXlSQWNfXnNPbnM9eV9TeF1LaV9MZmdyWGVfP3NuRHFPQ0BTV2x3Q1B1U0dVVlhPdHRhRXdtc3F5VmhbVz5xVFt5QlRvcjtrUkldSEd3R1pbWTxXWG9VSEg/eGBheEFhd1E/VVNVWEZfaGhtRWY7aVFFWElDZ0lXeWNBVXdbSG1hQ3VBYm89ZnFpU3RnV3I/REhjc19tZ2NXZGxrU21Tc0B3cjtfZk9fR3RHdWRDVmg/WE5bRW5PeHdvdXZ1R3RDSHlDU0htRGNDZkxRckphWWRBZVRDeFNPRHdXd1hFZkxPWFBneG5dR3dxY11NRkJdRF5nVktxWD4/UmFZd21TQ0pTeVZhRHJzRHNxY1dTSGpvWXdxSUZpZXV5RWhldURLRGhHRj13QnlvZWNdUnNvREhZaHhtd1ZRSHZReWVRRFZzSXhFZD55Z0FDQ29xVm47eWJJYlZFaUx1VHZfdkZpSXVrWFZTRE1pdXRneT5vRkdtQnNbZ2lDYjt3dmtFd0xxU1ZVaXB3RTtFUnhBWWpBdlRDQ21hZEA7R2hLaU5dZkJlVlQ7SU51Ul9Rc0dJVF9PU0VddkNZVG5jY3dLVUhTQ3h5aFlxVUZHV01RUmpleGRxVXZteFN5V25pdU5JUj1vQlBnVk9Jc3Y/dGldcmVzSHdxeG5DU2pLVl1fZVVpRT9PUkV3VWxpVkJFckFJclpfd0hRdEtbRzpndk1NVz1JRHRzVU5Zc2RNZV0/dlVncjs9c3RrRkVFZ3lDdnRVc3hZYkZrV15RUnRzZ0tRaFVtQ3ZrV3RVdmpfVWBhZVRFRGw9Rl9nWFtFZTpNVWJBZl9XdWVDVmg/UHJ5UmR4T0ZJVU88eF14b1dxTnBIUE5sdkNsS2hZVGBMUlU9U0JgSjttU2k9TmlFUlN4clZIcVk8Sk54UGFRV1xcVWs6dXRoeHNtYVFKeFhGRU9ybVNVPHNnVHA9SVFPeW5HVVB5YXZrdXNYWGxSdFFYbWxqdW9PVW9tTHVvWHlWcXdddVJAbXVBcXF3VXA+bVdreUpJbG9SaFV5bE5gXFxLcWxXVlxcTGd1eXhJVW5VVkJxTmRQa3BkV3Q8az5dWGlFbG1gdVA9UU1gc2pIVkVBUFtNUldcXFI/ZVFKdFNAbFNYYFVmTGo8VXBubG1YTVFbbXleVFB2RGtRXVFxPXNmYU9WcVlaRGxISVRvYXdMUXQ+VXhEaVJZTFh1PHdCXU9weHhjTXV5SFdAXFxtdGlOYTxUeTxRb012S0xteER2WlhWYV1MSGBgYWF5bVFleXZicGdfVEBnR3diTkBgUT9hPk5dR25lX0hkXFx2ZVpOd2NpcVdJW2BoanNIdnN5ZkRRcVhocktRW2Rna2JvX1ZPZEk/bVlRXltvZU1RcndBdWR5akhxXFw7d3JCVnhuQWJhaWBcXEdpVldsX2hqak9iPVdeall0SVdoP0duWm54O3hpX2lsdD93S1luT05dcF5vYG9oWUZoa3djal5oYnl4ck95bklfRF5cXGJmaztZamFRdU8/akFoWnBReW9ZXFw+QHF4T3g+d2xEUXRNWXRNZmtVdmBAZ210ZmhCP2hRb2JbUXI/SHZdWXY9YG5ebnNbcF1HWGFxb3daUXRfWGNyTmheQVtoXmVyQGJ5eHJhYGB5aGVubm9mSXVrWHZRP2dQYWdCaHNodl9zV3hQVnJKSF5FRnhVeWdXPmN2eXU9eWxZb3lbXnVRYHM7eXVJdmRsZ3lheW1XX15gaXlLeD5XQ3dReW93cnVzd251WHdBUkxleTthU1xcWVhmVUhKXVZIW2ZfUVl3b2ZDX0xaVEthSXBFSE91aVlRWGpuUHlsVVZLSHNJcHlyVG1UdHVBSHVEbE1jSFdLXFx0Uml5P2hZXFxIdWQ8WDtdTEtMcFZIS1NATkpZdFJGZUZpX0xudm5neWF3XUB5W25WcHZpZUg+YF1JYUpQW19ec09ua15nXUxPW21vaT5xYEBhcnRJbWdWZ0VPYVxcP15MT2tOaFpocG1LWHRLSGY6X3ddPnJVUWVZdmRlX29icW93QW9YWXRtdm5iUFpEQHV1YHh3XmxIV2k/YW5yPl5Yb1tiT29OR19lb2h5YF9EWV1xbl1GWHdRaWg/X2ZIdl14dmtDWWxRPm5uR3dcXEB3WGlxP05xb1dnQ3hsWE9vbWFfX05ueF5fYmlwVXFbVF5gUWBybGh3Y0BeSW5dVlhrT1lveVZeW2hfdXl3aHF3SHBfV09xSnFpQUZub1d3UFFiVlhlPD9jQj9bZ3lmb252SGltRVhuQXdrXFxeYXZxYFBmX3R3WnVxeHdpajtWWnZBd21ndG12cU1WXk5Xb1BxZF5ZZllJcW15YEs+d3VeZkJ3Zl1oalxcUG5deF1dV3ZAaXlcXD5mbldad3ByPnduZk5mb3hpeUlnZFlzY15fU09mT0hcXGNWVj1HW21nQmFyQmF3ZnNYb2NXdW1CWHNIbUtjbG1yVmdyVmFnZVNDQ094TD9kUz1VbndIRUdkVkdpSFF1SD9HW21nal1GVm9CYl1lWGFZb0tJS1VzTEljc1VHR2d4R2Nic1lwUHlYVD1NQlRYSFxcUEVZUlxcdE9MaGtaXFx4b2BKV0FKWD1vZVV2eGhPSzx3ZlFzXFx1cVlIWXRFclBdd0dVbUg8dGdsVl9kWEtwT1VtdV9VVGlgbEJ1bVs8WGdAU189c1B4d0hoTVVoblh1cjp4d3l4bV9kam9tU3RwdlBAd2hUSzxEWFBFbUF1Vmt1dkg9UGBoU1VNT1RFcFxcZUpDPW5xQFJJcE1nZFJZTVheQXNIWFdRUUpCPXJJeUx1SVdOQW95QHhlcXA/QHVSQUtmXFxVclxcS2F0U0RBbWNgTXNMWFppbXFtdTt5ZnVhW19Pc05IcHR3aT9QW09OckJIXFxdXmJVWXFxd19AaWtVdmpXWXFxV3ZwaXddQW1uRm9DQHg7eGdXUXldV21mVnlXWGF5d2tNdl5QT3ZLWW5aXmtWRnlNZltcXG92RUhaRV9iPl9sQmhfWldzcnFyR3haS3ZcXFF2b1VBa2VWcmBZbjtBYlhQZ24+Z1xcWGlZaXVPQWV0YGhFQGt3PmdVcXBraHR3P3NqTlB1aEFhZkY/R2xrZko9R1Y/Y3NTY3N3R2F3SV5jSV1deFxcPXZgcUZEa2Nma3ZvYUhpZXNdZ1hRR3VMSURfW1tMWHZKeF5xcHlCUXBzZnBzR2dmeGdiXnNXV2RPbmZCbmJ4TmlrUGhURmZIX1pXYWBiUFpkV3NSbnJOQGJxX29ZSHFdSGVwYHdBX2xkZnRLRmxLSGA6aXNzbmZReW1rVmZmRltAV3RhWGRcXE9mTEBcXEJQakxpeWJZbmVfb3loWlRGc1Zodkt4XFw7eGphRmNeeG07P2RKP194YXltZ25ib3F4SGlLaW5FWW88aW49aGVvXnF2UHhcXHhmSXltZ095Vkd2W3loamZpdFdhPnZaWU9cXG1pY1VwYD94bVl4XWRfdGJIZmBXY0VBaV9pbFE/cGV3dGhOeXhxbFtZbklwYTxpeXV5eGtQZ095bnJYaXFhYEBuW1ZYZm94d3NgeWZYZGp2Zkh3YVZWYXBHXFxpeXF5eWFMXnk7P3VwaHdCT3NERnFzVltDR2BYeG1UeGhTZmFZX25kYV5IWWJiUV9rWFxcRXBcXGdfaGdHZmh4bUhOdUh2eF5majxHbGM+YGFHYGFZXUR2bHJvY2VQdlJWXV9mcFNvW3JRamhXaENYZ19ec09uWz1wYkF4Y2NfdHJ4Wmx2dWRwXFx4WHhIWWNdV1xcPWF5ZHBhQHd0dG9fSllbeGF0TF9wZj5oX2FqdldhYE5jdGBwXkl0SG5yZ2dvbklveWhvW3F4aFh3YW9tYXZrSUZbOml4Xk5beVZyeGl5YT94XkljZHd0PG5wVnFsZkZlPj9rbHFbV05tVEZ1RU9jcHF3d0ZfVkdlSlheUT5sdVBwO3FzQj9wYFlvZ1ZdUU5pXFxRd2BIXFxhYGJdYWlfeWl5aXlZWXBPV3VuSHlOP3laV2VFdmZRR21sZm4/Tl5cXD55Q1dwVW5ySGh5PHZ1eXd5d0BwUlhhVHBhd095QkZsWHlxeXdpW2dhYUFuTG9wTlloW0ZeZWdyc1dyQGhpQj9reVFqdXZoSE90cWdxRHdwOllwUmBcXFxcYV9CaXFFb253WGp2aVs+QGBZd3Bod29yeWF0P2lyQGdoV2l3R2Zob2ZKeG5KP19sZmFgYV9gYVt1SW1hUFxcYGFudU9lTVlzUU9tU294V1l3R09pQnF2dkl4RD9tZV5dR3Z2aHZgTm52Y0d4SkFmeEBsS2lwWFhbVkFuRUFsXFxIck1wcmNGeUVWdHFgbnNwZVZpcTxeZGVPZmpobXdOWldBaHVXeWxJbWF4YHNReF9xcnBpd21eXXB4YXBJalBYYWhYXkVWYV9oWnVwc15pb2hWXVVvdF1Ad3lBXFxqYFxcQlhbQHhuYW9dbkBna0liVFl1YEhiXl9makBwTlhwYnZzS1hyV2BqeGFddkh5YFltcG5pTFZzYm5ldkBhcHBnV1FrW1ZiQEBmS1FuPz9hdW9oV252R1lpRV9ab09lXXF0PFl3bD9gY2FzU2hhXllddmFqW0BnQT9yRVFyO0lrSUdpOmlhaWZpcHliXFx2dndXeXBxdkFGZEhHYllpZFBhdHNJbko/X2xQWmZ4YnJmZm14akNoaExnWjpQdG9BbGleaVZQXUtXaUtAeUJgYnNJZXVPYVxcYGpzVG5zYkZrdmU9dENXd0d1RmRdZ0tnWGlRRUZ5ZEV1ZnhjVkw7eXFlZ1lbaUdNZnNfVj9lZWpzQ3hnQk5tV0pPSFVdYnhRaTxTWT5LWW5LVFNld20/SGV1dGhRZE1DeWY/Q0BfVjtvdk9NdlM9YmNVeGB5dztZdVVRaWRHZ0NFU0M7eW15c2g9Q0djaVtLaF5fR1dNaT5jSXVteG5zaVtXQlpBYkxJeW14UnBhd1NpcmVJdF1Ya0tdcGJlTG5Nd25pcE9VeWNYVGFYT0RoTGVwalpAbkVAUjxZTkVpUnNUcj1ASlhcXEs/YHdLbFFjcU9lXFxzTWR4RFFPXnVUcVBTP1BOZVRSVGROU2BwRHRUVGVPW01Wb2BMOzxuVHRxbG1vW1FuT1xcd0VAV3F0WVNZdVFkWG9IVHJMbU1BU2Nwd3Jhcl9BS3B0WV1Ud1htUFJ4b0h1TnR4TFdAdUloa2ZYeVY8Vj49TFFEbmlwd0xJUGNMTHJUUD5UeVR4bGZgVlxcdU1QcW5FXXRBeEo/XFx5T1lZVUVxV212XTxRclxcSztIamZsb21obnBVVmt0UnJJVnRRbU1kUnNQWUhRVFxcZU9ldXR4ZWpVeFBfRVRWSXdNeW5fPW1idHQ8cXFxWXBhdXNQbHlgWW1xdFdAUXFvdXVbUFRfeFRKRWBFWWs6R2hYYHhQZ29AR2ZLUW5bUXRHeV5IcFpJcG1QX2RmcHNNZ2VCVlhJRz1ZUzpXQ1t3ZXVfdT1RaEY/SURjYlxcU1Q9cVlgcWY+R2lbZ3J2TUJeXUVXU1hLT3VCc1JuTVJDU1g/UHJcXFBtPmlQVUBZb3lTWmFwPkhRYWlRYUFra2R3cz1zT01wVFlUdXlOV1VRY1FwUkRZVm1zc3VuRXhxOlxcdWt5bHRUeWhpVGNlUnFYb0x5bmM8dUlhUWVZS21hVXNgcT9Oc3N5cmthaj5OcWFoXFxPT2A9eWtEeGxUZmB0Pl5Zb3FcXHFkV3ZsbVZuZld1cGZkRnd4Z1l1UXZ3eXhnbV9pSmhlanhddVZxbWB0Z1hlUUZaO0ZaUj9wWj9dQGlrdVZfREhbU09jPXFqd0dwXFxnckFRYFlReT1PXXZuXFxlYWZzd1pcXGFmVmhcXEFxW3JgX0Q/bWVeXFxJWV1QdnZsdl5XWHRTcGV4QHRGUXhHWHBhaGF4Z3Z0QV9bb29Cd1tyQGE7SG5qdmM/Zm0+SWRUQGZLcWR0d2dJaG5xcXltcGBbdmlQQV5HUHZpXl8+eXdib3JvRmRbX148QGNOYXZRcWl3cGtQPndmcXNcXGdjO1hwRkljaGBlWE9ebVBbdVBkWlFzaUBiW3B2bD5oS1l0RnlmYXdcXFBAdXVOZkxYalpmbztwc2NfX1hfeWg+eU5xZnl3d1NYYGFPdVJZaUFBdmVZd0VIYW1vdlpoZ1VxcFxcUHFicXRneHFCdnVrV2NrYXhGaWtUaGB1RmtuSWtyP2k8YXFqdmZZaHdiWXdMX3JBcHdRdmdveXdZSXJYeGtKcHFiRmZYcF5uZ2tYYW5TYGtNYXBpQHd2cXFbYXJoRl9Obms6UW5Wb3Zub3l5QGJpXm1ldmRVPl1wXmxIeWldb3JBV21KT3JWR2xYPl1IUGFHZ3RocXZeX3l0UXJ2SF5vdmF0RnhZaW5NZnlDT11VYWZLT3RCPmBdYW1gcXE/SWpqQGJzdmllUWpYQGBxcGJuV2VscG9rQGQ6YG9DeW15b2k7WF9Rb2ddUXI/WF1sdnlzdmBweV1JeWRRb2BdR20/b11XWFxcaV5tQ2FuUGdvUWFvdG51c1hoZUlodXF4a0Zgd1l4SXlhXXZjWHZ2YT9yY1d0YGhbWEFpXWlbZmBlc1BcXFVxcEdHYkVxbFk+azpwZEVHb013blVgXFxgeWtpSWxKaGlCT1pwdmlEaVxccl9pR3FvaF5tcE9gXFxhYEpAb2VeZm9eaGJ2XFxJT2lXSWRZZnJrYGFHT3Z2T210SGlfcmE9dG9HZT1fVVRZRXZnSVhJRXdFVGJbRUZHVUVHSVd3eWZ3VmJxVjtjV2pFdE5LdGRTR1dDdUNjRkZMdD1UcmJwVk1lbDpBUTt0eVFAbF9Uam9gS19wdD5wWTp0cUpZd3RNUWNZUlZcXHV5dEw/YVJzYHhsaHRDPW1BRHNjbUxiV15iP3FdeF1uP2dFQGJxbnB4VnlSWHFoR25bdmJMX3BieF9IeF1ZX2pfWGNxVmY/UWtnP3VrWHZSTlxcUj9mbFdbVHdfRXBbX3lvaUhcXGNpbl8/dFxcX25uTmt2QHg8V2BlYFpmVnBjV3ReRnhESWFESXVHaHJPP21qRmY8QG9OTl1VVnlKVmlxUXlbaGdVV2Q/UWlNT2R3UGlVR3Zpb21GcXRqb3loT1twZnRfQWpRRndfdnM6RmN0SHJYcGBBXnk6SFpXRnRcXGhiPWB4ckFhSEhiWVFlSEFfW29vSUhwZkllW095bV5oZ3F2Zl9lVmZkR3lrQG9zYXZeYU91ZD9sRHh2RVZoUFZocEBra0hgS1dlYk9qTVdpR2hobndeTkxWTGtVWG1CWU9gPVVhWFFqZG9vSXVfZWpwSE1CVWxBRGxMPWRbcHlxdm88V3NTeWhacV5vTmRdQHVHV3VGd2hmd29XZ1pNTmZyQGJLZ2VfPmRQaXRxdnM7ZmBZb2BsUG5vSHJZcHI+ZmF1SHNfcXBaV3VGeWtheG5BbnV0V29tQGdWZ3FseXF5cXhMQGNXSWpnVkVBY0l3WTpbQmlNZEdXZ1Ftdl9DYlhjWT9dV1FFZ0xZZ1BlRWE7R0J5RXFrV1ZbRE1hVUtZdFBPZ1Vfc0NXRGFbUms/ZndTWXBBRnI7SVJDSW1tdk5jdDtVdXF3V2lLdGdrRGNLVndXRUxldkRpZEtpaGV1VGZHVW1vQkFrQ3ZpV08/SHFJeGtpUkNPRG9DWHFxR0M7eGpZRjpdZHlfZ1ZPeU51RmZASmJYV1FxdlxcUFhkVGtrdVhxYVNqVXVLTXJWYUxfYEtgSXFGWVdiSHJ1ZXliSFdtQWtAWHRzcVFXcG9VeXVhWFlJYUxEVHlqdFZrdHZkdFlUUUxWeXBjaHhDVV9KV2lCYVpRP2M/b2Y8V2ReP2dzZmN4T29xcXhrV2BVYW1aaGd0WHRedmFITnhsPmVGUVtgYFtub2lkYXdYUWw/Z2pzVmVGaWNCVndsYGBQR2FhZmltR2hZcG9DZnZiP3RYWHM6aWhaZlpwUHFzQHA/WHhzQVxcYFF5am9tbklqPVZhQ3BcXE9mXFxFaFtVbnhFdl1ub2lHSGtbSFpLP3NIeGZlcWxpdmdXZ3JEWV5Bb1xcQ3hkcHdlY0l0XXhqT2lpdT95akleQG9rVkZrX1lzUXhuVG9oZ1F1b153UklwPV9cXGFOeWBZbWk/YHRfeGJXbz94YWFxYGFHZkhpXFxCd2dXUWFAUHBfV11UX3FndmlRTmJSeGJXT2lwcWVDUWw/SHR3WGlFT3lmaG9KYW9TZ2ded3NYSHNYQHI+WXdfbmpcXFF2PG93YFBkVXZhcT9ddEFpV1l2TldoQHZ3Y1llRz5nTldrTmlcXDthXFxEdnQ9YW0/YWV1R2ZfWVs+d3huUWlUeG8+SHE8SXZKSXN0TmVdXltSX21ZRm5zWXdQXmdtSGJtQXltb1xcb3BiY2F1P3dcXD9BZHZAXUJWZ0hnbXJXeDw+XFxnSG9FYWhnYVxcR3h1VU9lanhlZWdadFl4XXlmWHBcXHNYaHVXbkl3bXBQbnduaVZ2a0dXbUg+dnF5dVFYZnFxd01OZnNHc0xocGdQdVlpakVWbT9ZZ2Fxc1dIdmdpZ1dvdFVYaXFxd1toZkVxbHJQaF9Ra0NpeFxcUG5cXGBqb255VklxbT9tcXZnWEBzdFZmY2Z3VGlwPW95dkl5P0FaOlh5ZGdranZ0eXFfQHdrWD5ePkF5RXhfUEFwc0lvOlhjSnZvcVldQklzeXlvRl95U19dSUdlPUh5OmZ5U055eVhoZGhtVHBaZWF3RXdzSEZfTm5bPFFsZHltRkFgTGFfYVZ0ZVhcXEQ/bWVOdD9ma3J2ZmVGc2xWX3BIYWVIXFxhaWdiaFs9YFtEZmBfT1xcSFFmXmh2XW9vYV5vZV50O25jZU9bXWFqQE5aSVZqYlldbGBwclhrX1Bad0lhR1deWXBaWG9lc2Zqb3l4cGl3WkdeRmlxdlB4XFx2Z1hXc0VOd2p4d3A/YjpJZ2tmdWRoZGVWYGV3bl5Jc014Xjxpcz5hbWJ2dGFHdjxpamJ2ZGhgXUB5a3FgYVh2a015XnhQeERZX3J5eFl5aWtHeWxxX25Pd25paz9ZdVBWX2BYeFZXaXFpdVhfaGZXd0w/Y3RgXmtPaVN3c3ZWcHhPeUpXX3NHclpvdWpWXUVnXFxeYHFSSHhdcGlNeGNHZ1xcRHZcXDthbT9hbXNJbW5Qc1xcYXhmYWpMbnZEYGg9cGNYV289UF5udms+d3BsV3ROZ3RcXFlxeHZkTklfR0ZtV2l2ZFhidUZ3TD9tQm55Tj50UVdkSmBiSW95PFFRO2d5SUhaR1NhS3RUcXZwZ0hSeXNtW2NDX1hfW3NHR1h1cWhGa2lvaXhvb2c6ZXdXWWlhRWZHZ1llTXVOUWlkc2Rta1ZGQXJrWXZQWVdUd0V5XXlLPXlWd1RiP1Q7UXZnTWVvU1dgW2Jzb1hKQ1Zja2l4Z1ZZZ1NteVhOZ0g+R2lYZ3JWRUNtVVJGc1NkV1dAU3hAb2doQ0JuRVVxO1hUeVRiW1VMa1hHRUhPZ3laVUZMSUZSWXRKY0ZGaURoU2Ngc2RzSVlHVVlIO2hKaXhaT1g9O3ZCcVZ4UWI6P3VCRWV4Q2hWZUdVc2NjXXNEb2VCX2RvdWVOW3M9d0JbUXZvc1dYVUdER0RLc3hpWVNldWhBd2JBS3NRd0dpRXByXWt0ZFZEYUxlcGtfaE5rRFBLVHRheFNBeXd5eHloRXhwZFRkYFRLdG9mRXZJUGt0PWpWSXFnVG9eSW1hdGtoWXlKcVlBRW1YZFlFSFlIdUxoTGpeYU1GSUttVXJhYG1bPVRiTFA7XFxNQkl3YHF2QHlMa1BqQG1MbU1TaHBZU0RUXWVSV0lZT0xLUUhyRj14YXBMSDx5ZmRVUzxxd0VTaFhyeHV2P1RTPERxRTx1a11XPUVqSHFKaFRUY3l2WXhRWGxRRmBMaXBReGx0d3VzSV5xZW5lRWdsZGZeVm9iZmZ2bkl3TVFuZHZuZ2BvVXdwSFFfW29zaHlfVE9eXFxud1NfX0ZpdVdpYWM/dFtpX2Q+akB4akFPZVd5Y1FgYlNfc0dQbmt5XXFeX1J2ZnJhXFxNQWA/aEtDcmNLSE1beXJLdUo9ZW1BdmxXSENPeEFFRUtJQl9bc09LQ1FHckppRT9hYkk9WXNRVTppeXVLVDo9WFNFeW1ZeTtvUlc7V1Frd3BteDtVWUZtczpvZj5HaXhDWGtNaFhpZHVXaVtNdlpTdD55ckFVY1FVV0VLQ1dlaWR1ZVFxdFdXSXE9Z0lJWGpheG5fR095VWhhdXRfU3ZDWGtFVGBrdEZlQ3l1TlJ4ckF5VktQbVpFTz5IcWxAbWVJcmhoanR5a3BBdXQ9WUNBVldUUldFdmphWGxNSz9NUTxxWWBReW9lVHJRblBZaj5FcVtZbFtgWD1FS21lajxpVmpATnJZeFNRb25ZdGdIdD48UWtYUmhsa1tETl95WVJwdXVFU2lVUXVNUENdVktEal9BUkxUTF9ZTEZhV1Nhb2t5dkFMTExcXG51ZU9hYU1xcGpBdWtmWVBIQXBlXFxLYU1Xa2BUUlh3aXhsUkBNaWV0a1BwX1VzW0h1aGR1WVB4YF1LSWh4QGxOWHlzWU13SlVMTnVQUnhxO3V2U0huP111akBtSlBTY1VuQmFTUmxWYEVZSXBza2lRU0R1O2RORl9cXGhWaj9Gcll4c1pYaVdvcVxcTmBRSHlHWXhsR2RqaV06WXdGPng8Z2c9aHhnR3FpTmVhXnNYeFp2XmFeWXRCYG5eVndMT2B1T2lEeV5JRmBrRmBgb3RGR2tnZnI8YHhbd3BTUFo/Xl9xV3FDcGtIcGlwZndbSWZXaGxyRl9jSWtgV2F1d21SQXFCRnB0b19zbmVkSXNLcF1vXltgeV9SRmVBQXQ8b29ub2pcXFZkWnF2YHFySVhib2lvX3lxSkBfWWhtS2l5SndhUmZqPGlmanB2YUFvS2Z1X1lnPHZrPEdqakFmc3ZzeHF2aElhO1B0T09kaVhnT0BiUWd4Ol9ba3F4UHBcXF9nb2VPa19AaXRPY1FubGpBaGVRWl1Wd1F5b2lndHRxak5Zb1F3W1NZcFVvZ1d5dlZiUGtTQ0NXR0N4a1FYSklmd3FjbGNJa0tZPGF1QVFJUVtmZmtjW0lTc210QlFJQFdmdGFHbE1UYmtlPWtWPHVkPXd5WUtXWVdJXVdERD1NYlxcVUBUd1ZdTlhIVGVpTlpBeXA8TnRJbE5xdVF1UzxcXFdPaU9hPVVdWXJURGpoYHU8ZUtjPmZ4RnhUZl1nP2V3X3VWcWhsVlxcRT9mWj9ualBtdUF5Um9mR3BfS09uPkBjaUBpakF2O1d3dE5vW3hmSXFtUGdvaVh4Y3doXXBhVW9tTE5gaG5fbEltP2F1UXl0dEZiaVFwdm50VV5pc1dfW29zckhzREhkb2FbWHFgUFhzTUFgb05uTG52RHZsQXBjaXljYmlmWnBmcEFfb0haQ1F1dnZwU15rTG52RGZKSHhhQXM7dG1vTW09dE5xTUprUE1ZQXVVdHZCRVJAPUpPUU1VREtCZHBaVHhFUExgSW9iTFVOeVR2cFF2PVlJUXNnUU9FeFRwSXl4QFhbUUpUZFBsYHFqaE9RREtkVXRgaGtPdXJNeHJmTGtLWE5BTVVvaHNzWXhsVE9jRWo8ZG4+bWxPVFNLcVZXSFZEaExtbGxfXU9NTG5pRVBRbVFgUVVkTFRtXFxNc2VtakxwWEhuSUlxb0V0TFFLP21KPU1udlhPd2B5Zkhtd2hTZ1hLV3VvV3BUPFRVQ1RIVm4/YW1bUXBbaXhVR1phcGhLQG9KYVpHbmFCPlpcXFZyO1Bjb0FqPGduTEF1amZfZU5xTG52QGBsZGZed29xPVlyaVd2Y1l0XlZrPUBiRV9sYkhfdm9wWWBhQ0hyWGhhdV9vTG52Z1hlcXByQXZddj9mT091PW9oWUdteXZpeE5oX1FwSHlgdHd4aGl1XFxpcFZHcUBxZGd3XFxMTm5lXnlSb3Bmb1xcYm5fPkF3dUFtZVZrc3BsYG5abUlqXm5lPGZrZnhmYkdgcXBfZEllW0BzOj9jTlh4c2dzT2Bhc1Z1SlZ5bWloXlh4dD51U2hpTE9yVkduakddVmFgZ0lvWGFxTz5pckdscnZnR15teT5jZElgQm9nSHFxeXhmcUlac09bQndxbVFiX0Z3bFlmZnlmaT9fSml4WEB2a0Bjc3hpVU9bd294X3dma3hzPz5lcklfWVZ5bXh2ZV5jZGhwTD5kW3BjUFhcXGtebVxcRmhlcXQ9QWV3UGlBbnRmSHVjbnVdYWtfRl5bdnRKX25CZ2ZFcHhLaGF1WGFkXmRyR1tRdl9oR3JgaXNVSGBgX3NSVm90QWBvT3dOT1xcb3ljWnl2YWVXdXRFWXNFU3hgeGpwaFdVUVVvXUtweVl5bFhmQW1ScG9WRXE/aFRVcUpATHdcXHl5VGhQVUxqWGRRVE1UZWVqQGhLZUhSdHVRXk1SXFxkeGRNdl5xUGZ4bG1hdVxcPVlcXF1uX1lWX2BZRmlMU1BKdHBRa015SWlYTkF5S0RucGRPXFxpUmFxeERFS21lajxpclp5bV5wUE9FbkdEUlVIUXZcXG5VVXNnWGtUYFdnRFNsVXhiQFhjPHVzPE1KaGpubU1ZRW1nTU5hRGtzbXB2UVhPRHReYFJ0XFxYVmBMV0lsXmxycWB5SE1WdnFvbkVra2BKSEV2UlV3Xz1uPUFMWmBTT1VzdWF3XFxdcj5hUUBxakdUeWt5c3lUcWpwbVhVbl1QVHlEdHZYWGFhbD9RclZIb011bkVATGBhV09wcXV1eGhMU1BgUGZQVVhwUFZoVV9tdkZJbTxRWXhsWGZBVVZVcWBdUVdwV0Fxa1dEUHNNeF5dVGlwV1JIdEhhUUVxbGdUUjxNUjxkdWJQcF1wVGd4dGZQdXA8TlphbGBNc0d0dGl4dV9wUWY8TGdgU1NQbjw9bnFVd1BRSkdVbVBxUnBgV1NgUl54UXNdbUxpbF90cXdFdWtNcEpsajxhWVFNTWVJWDo9d2VRWW09TEhVV149Sjo8TDpgTlxcQE5kUE9MUnM7U053ZGB3ZGdbdFJ5Ukt3V3BXUkNdZGFnWEh1VmJLU1JXT0ZRcnlIVXBATlVMS0VgeEpMTUBhdV1cXFdKPHdfVW87ZFJEVXM6PXRKWVl0aHNZUGxKdUtFTGxHQXVbXFxwdkROS3BZXWFxX3lyXT1VUllwZWRzY2l1OllPdzxqWHVtQklqPG1OWkxQbGxKZXl0aVlMUEh4R1VtSER2a1lWd3hua3FNbmV1SHlUUWBKVGVRVDx4RnlKXFx5d01ASnc8akBoS3VBVXZ4eUBkS3RVVj9Ra0loam9oeWl4cXhRcnF5dXl1V291TXM8bW1YWXFxd3JMWW5BT3Bxd1dZa3V1aE1GcUFZc1BoX0VweGdZdWFAb1ZJZ0ded3Vxb29wcm1ocHZ2aXhXc0FmW0ZpcGV3Wl5hYltxZDp4W29JXjxwc3N4YmFJaHVxaGpubkhnZWZOXXVxbW1AYmFXZ3RZX2lgdF1IckBoXWhXZWNpY3JpaVdhYEluYG1BeXR2b2luXzxGa1JQY25RZFRBdmdpdUBxdF9YeENodTtudGF4aFlgXFxEVmVbWHhzQF13YGdhcG5vSXh2UWtIWXU/b2NmUWREXmxqdkRTWGpnSFNnR0lxcj5HaFVvdHdhckdBeWxVZ2tjeE1faF47V011Q3A/Y1FRWT9NVXZXQmhTQltzWDtfcmFDR3FjSE5heVRJWT1BVm51V1R5VFtRSDpFclxcQVJYUWJsdXVTUWhDUUNDR2Y7X2ZIcVNlcUV5WXhxaWhhZURqVXVZO0VvWWlFVWlxX0V1a1hLU0RgW3M8cXZHeWJKP2Rad3ZRdWVtP2NOS3ZWYWlvYXhCbXdET1JSV3l1eXdqT3dya0l4Y0I+P2R5W1hibWlqeUR5YXhNeVNLd0hpZ3hTW1NsR3RxbXVyR1hdRXRWY3J0Z1hlQVhwYWdGUVlRYWlzWWlQZVd1dXl4aVY+XVJiTWJ5U3hORWZtVWZgO1RaR0JHO0JNO3d2PWlCW0leRWR4bUI7RVJbP3lteXNPT2ZPS0dOd0N3V1lxZ3Jxd3VIU2ZjdURuVURzPWdhW3NtaURMYXlAeWV1TWlSW3Ntd1dzd2ltS0lcXD9UUllCQ09YSD9UWXFCU1tzRmF5SE1mdnlGYWtYY2NERD1lZVxcT0BBdGZgS2NMUm9AcWtdd0JocVxcZHVMeW1eaExQXXhWRXk6UG9pTEpPTU08RExbTFBpSVFFaHhyTUxPSUtJXW5PZG1xWXJobU9mWVBIcXFkSXV3PWo7aG1eaHR3QFNTVHh4R2VCeWVyXlpmaHk9cFo7dmReWWlxcF9KaV5pWWJaWXZTTmhZcF9AcXNXeHJKcXF3eVp0RmJoaWQ8YGpScGJGWGlfSFxcPkFtYVBhR15icFlecj51WUZuW3hgZ1BjZT51W1hyUl9deF5xSmBqZl9aR25aYD52UXhleEdoOnluanhbcGlleVF2RXhfPmFoa1F2bz5kYXBjUVdvcHhhcW9nXWBtaldubXFgUWdeV1FqZm93bmllUHFsZ0lfd3dxS3dsYmF1dWZiZ2FgPE9iXFw+eHl3WT9mO0F0O11Fc0toOmNCRDtpUkFyR3V1XFxtVTpFaWs/V1I7V2pzeVlNWGxNaEtXQ1xcT1JbUWliSWNsZWd5d3VsS1dZQ0lpd1JASVQ8YVVbP2hCa2lBQ2VLQ3JjW2dGYWhoV1VwVXhVYWZcXHNCZldYV0VoXFxlVVg7SWp3aWZHU1lHVWdxWXJrRGBvaENneEZfd3VvUm1DSTo7VXhZY24/ZW1bd0hTaG5NSGo7V1ZndnVRc1prSXJBVmxfRF9JeWRBQl9LaT1rZVA7Y2pfSU9lZkJjU0hdckNZZGU/dHBnZ19JYlZfd01vdWZHdUpdd1l5SUVzaXdxeFVrQkY7RTpNUnJvY1dzZTpxWXhteXN5VnJZeUVVcmF1eGhZZGZvQ1BhSWtNUm15WUhpVVNvQm1FV15zdVpBVl1haW9bVmVjdVlfUnRpVlpxc1xcXVV1b3J4QXdtSUhjTXRBa3h2XUJBWURMO2ZVb0dKXXNzZXlqRURiYWViQWNOaUR5c2RzU2ZpS0M/Z2dKSVlGeURybVhZRXRYV3N2Y0lCSVVzT3NHRWY+R2E/P2VcXF9dbD54S0ZjSF9saUlxU1d4bVZ0WXdgV2BadGhidUlwa2BwdFZ5XnF4dVFieG55WWlxTG9xcT9oV2BbRGZvVVF0SHFxc25rSkBsQUBxckd4YF5ycWlkcGlfZHlwP0hrXU5wdUdscnZvQF5hdFZrPXlqUUZlX15zU3B3V3lpPElvTVdnSlZcXE1uanhmaXRBdnJJeF1xZGFoYG5fXFxWP3FCWHheWGBmR19pSGVtWGxPV3V5PmlqZ1txbmdWTmxtRnlVPmVwSFxcST52cj9oTV9xZT5obW9cXHBhd2tubEBWdUNhWldhdEd3XFxtaHNpd2FFSHI/cWRIQGR1R2RtdmNdVl9maWhYd2hOdnN1Xl5sSHlrYWhtTmdWRmpJSWBHVm1GZ3ZXdm5vSXFEWXVgTmdUeXJ0X208UG91ZmdtYV5naGdWSGtMbnZEUlBfVmNRaFxcVWRgaXZnVURuS3ZWUWRXO1VMT3NKYXNrcWVbdWNCdWhtY3hqdXdLUXRpZ3l0b2ZcXHV4RHlVO09laUNpRj1IYndiQW91OllGU1FzVmd3eGdTPz9IeXdYaWFHQ1N0PUFHWW11bHVZaXVFWXNVRktFbnNCeW15U2lDUXdHWW1EUFV4T1VvTERtUU1QTFh1cXhXXXhUaXBVXFxUTEVtdXZockp5cXlhU2V4eGt4WXlhV0JYeGdUbUFgWHlJcEBgVlNAb11kcnlJck89S0xpdl91UmtQeEhZd0FYazpNdl9cXGw+aFNlTG1eSWxwdUpkdXVldFBQZGptQG5tRXhPTFlzWUtMXWxlRXE8dXdReW5NUVBUQXN0aUtbVFRcXExXWURrbE1NY3BYbnBXTk1xcW10QF1sanREQ2RmbXVibWVgb0NQUWNtdVhNVUdjPVhaPXhhZ1VQXVh1Y2Jzc2ZaXVllWVlaWWlxO2I+YUJTZ0JgdXRsPWZHWWVwaXdRSVJeaXNVV0NvWXdRRXJDV0RRX2JZWUhEa2leRXlASXlkRXR5R0dJY1loP1NmRXVsQ0Vdc1JoR2hkQXVvV1dxRVJVcWhdR2hvVXdJQXlxeXV5RUhmPXVqW3NYZ0lVXURAS3NCS0I9U0JLcW9wTU5lWEthQVV5VXlnaU5CWWxBUVFZTXdBeWtZRFZpcVVHbVVvYXlHZE95TXZaaGp5WFhqPXBjaGpQcHhGUGpJaXRKZFVfVFROdFQ8YW1bRExNVFI8dGo9PFJZcW5jaU5IcXdJUHZzYWpISXJYYHg8eXZZSHZCcG1nRHY9QW93UVdqcFFBcVJqaHQ7VU1eYVhAUFVVZFNgQU5RaFJDVFg/ZnJSSGRgcV5RVng8b3NCUHJQVmZNT2JzZl08eGFnT1xcYnFsUWBmSVdcXGhuZk5RblE+cGdHcFZ4dUh3dE1xbHdnbnVYa0U+dHdYaUVHX0ZJYW0/a19OclZoZUtWbmhAc24/aklndk0+dG12ZlBRazxWYT9Za1V3bHVebXdJcVluYUY+cmtYZkVhYjs/bkJBc0JfX1RfcEJfXFxCTmNJP3VEd3VbWGJBXnV2SF9XQWlAZltUWGtEZ2xUWGV3eG1XdXlDU1ZXV2xZdUF1VV1jaHlvZT5LWXdNaXdJVVpZZFdfRElbSUxnUkM/SXdNZkVFREZ1dUVZVEdXc2NtQ3R3eFFbR1thdXhBaUpbRmA9eWtzckZzVnFZUmthWTxNRnVPQ3dfRzpNdXhtZFlDdHRzWUxJWVRzU2lfZWxRV1RjaDtRWUVJSXl5V2VNVVhrVm5VV1FLcm9rd0pPQz9XU01fQ0VPYnljc0RzWFhtZVpHRGFJV1tld0lNSHdfQnR3Y09neUJVYnBVYl93Z3NzVnlFdkY/SGFraD1jY1RZSWB1dXBNcj95V3hPeWR5U1NHSF5Dd2tfeFlzSD5BRl0/Q0xjWElNU1NpY1h3ZWJ5V1ZBSUs9VVdnZztnVV5zQklrZUlNRWpDY0BzQmVDaGBlc1RDZDxDWD9RY087Z1ZFdWxRcj9tdGpfWXNRWHZXeEhZSVxcPUQ6aWI+T3lxeWU7d0RZXXdpZXh4TXZdWWZrV1ZBYUhrY3M7UWZDSXhxSWJaZ1hsR1lQU2RoZUdWd3hXWWlOR3hXW0l0c0ZYP0ZPTWdOTUVvT1dPXUh4b2NtP2lfV2dcXE1jTGNEXllkWWNiPEV2RFtZQWNlX1l1UltlUXF4aUtpYGN3XXdUSHFIWndVSkdid01zdUtoVW1UdGlYSUlYYkNWaEBwQlRXPXhRTVF1R3RuYFxcU25ETEpMV2V5U0xJbHg9d2Y9bGpYdE9oUkV0blNdVltsWVp5UXN0cXFlcEVBS21Rc09Yc1pwUkd4TGpteXZpWFpcXHdCPFRySHFWPVZKWGpVPWtwZUtWWGp1WFNRcHZcXEBVSEl0XXh2a2xZdmFPW2V4YGF5WWlMZDxVW3FLPWxvYkl3O01qeEVPbHV2aFxca1dZcXlBTHNgcmVpdGV4Uj1oamlAUHRdaGpBeGpfa3luYXVgb3ZPeEN5XjxfeG1uXVhuYVJOYF5HXmRxdGdxZk1xeVBpb1V2a2JAb0FOYk54d1hpd2FOcGVAaFtvbmdXdUhAXltuX0JgWnRxWlNRaFBOdF94bW5xX11oXUNBdHFnX2VGcW1ZXFxFdmxdcWxYZ2BoUXBQeWRKZ2RiXlxcY3FqX3ZgSEhqQmdtVFlsTVlecEFoX3dtbFdiTkBgUT9fZkZyYEF2SVdiVmFgeHF2Y2duTF9wcGZlXFxIXkhAeD13c2FXcmtnY2pRd1VOYVtvaWdhXFxDVnA6P3JxZmt2RnZTXnNCSWx3RnhYWWl5WVpoUWxiZ2tzcF9nXnZLeFxcYmlgeEl1dEZnT2dvdmd4T1FpUlhhcWddaGF1Q25yTGheaVF2ZXlvSU9eVW9AV1NkbWhmRXVLeWhpeXlbX1lzcUZSXWlyXUJcXFVWXWdianNlb1NXUGtyRkdFPUdyPXdCPVl1VXFIcU9mOj9iOltTVW9IR11Ub2FjQ0djS2FZUE93UmtJdmVCd29UbUdXWUdiO3d2a1dYYWFYa2NJXj1TYUV4dz1YXUl3Tml0TVVSOld5VV1WbUFHWlNoU2FydztCXFx3ZzppdXdzQkBvQ29bZ1NVdjxbZkprdnBnWUFNQz9Pcms/aXNHY1VrZmdjQkk7SUprdj1jY1VrVGBHUkNTWD9PcmZLRVFtRFVXYnljY2dMbmA8TU5BTHd5eGZpUztAV2VYbUVFSlV0a1FwSl9Nb0RBTnRAclVMeGp0anE8SldwanNseFJsUGxMVj51U1Z0UXhFVEJcXFc+eE13bXh4RW1sZFI/WG9FVEtscW5HVVdNQGpIZXlXTHlyQVlbTXluSXRucHNiXXV1eFhIVFVxcFM7VXlweW1VYXRJbFhjRG9SRXhfXW9SRXhrQFNhQGlnWGVuPmZyd1tdd3JIaG54X3g6WWdpaHFAcHZHWW1dQGI7VnR5WW1ld3RoSGxqb3VDaGxldmREeHRhUF15R2dxd2hpTndVeVxcXFx4aXNOaFJxeG5ealdxZ1BmX1RGal5gbj4+eXRxdkdnbHlfYUlvXVleeGV5dFhfcFJAbUFBdWpIZnlueXN5ZlFudE1ZZ25fZHJAX0Zhcl5hc2NJalNZcHlwYj9UVGtnaGtzXFxJc109dlhpSFdhaWw/ZWVbRGhDQkNTd15LRGF5VFtXU3E9V0g/U2RVZmJVaXNFd1FZZ25ZUkNTWD9oclJZTHZJbztVb2lRdE5sdlRhcERQeXVUc0JFakhJd1tVdFtgU3RVdkg9clR4dV9hcEpsdmlVVVJ5bW5paj90eFl5WUlYcmpIVldJcGVXZlxcZmlZWW9pcHRBV2pAZmRnTl9wWHRvWGdtX2hkYXhMQFxcW3h5d3l4R05fT09pT1FvbklrdGFcXGI+ZFRwWkRWb2tneGRxZVt5cHhHeFxccWRbeVt4dmhoYWVLUXBfV3NAUGxfVmNMSWBkRm5qR3Y8UV55SWlcXE9mXFxOblxcUG4+WHFEaWxldmRKTl1UUHQ/UGw/RnlFd19HZlxcc3F0c3d5cEFwaGd1cT9xeGd5OkBtYEdkWD9wWk91SW9kcj90TFlvUVddS1F2XFxxbVpXeXBZXlxcP1pOeGBpb2dud3dYUWpAbmFoPmVyeHZgaVpHZ1xcVk9yZXZMPWVlW0RoZ3JOO1NFO2ljO3lgdXJTcUJAUWRic2llbVZXdWQ/RUNtQlY7RHZJZVxcZURQO0JmZXNGcVZqT0JZU2JZT3VTU3NnZ1dpbWNsVVM+S1lbVUZ3TVg6c0dwXUJQcXlbU0hYXUlyV0dtWWV5P1Y/ZVZLYVhgR1NNT2VcXEd1PGF3U3l1Wm9XV3FZQmtDSFNmY3FpPGlmP1l1VXF4O2lTP1FjaT9WTkFnUT1ETlt2SVdGQW1EQ093VHdDWFtVS2t0aVlJcW13Qm9WRGtTOz9VaF9VXV1IZF10SWNDVWt4cFdnaUtVdml5cVdWTXFmWWNybnNJPz1oQGlDP1l0TVlCaWdpcFFoYm1HR29IYXFJTW1pYF9HQF9mSj1HVk1CTEt1Vjt1Q3F5X1VmRl9HYHVUT2d0TnFZW2d4Vj1oZEVlbz1HW20/V2I8d0lveXhdW2dgcXI8W3lSUWRobWdiaVN0RXlbd2ZNZ0Ztc1VbO2ZsVVJMPVlBXXZ2SWZvcUdfW3NnSWZiRVRZXUdUXUg7Y1dUYWlBP2hqV1VqWXhlaWJJa0lSQUY8V0lnSWZSRWhkP3dUaVhcXD9XW0l2cT1YZ1F1eEVGUFlSPG1nW0l4XUFTPmlyP0VDWWNYSXVzdjtzV1dpSktjTkNnPk9EX0tXRHNkUl9lc2NFUWVTbnF5d1lHbjt2YnlCaF9VV21oZkVIRkllbWlnP3VTTUtIV3N0SVV3YFdoQklpYz9UXmVGQl1YbU1TPk1pcz1mcVtWO0FmQTtkT0VXeVlmX3V4V091c3NCXFxfYnNPalZEc3BhVHhhUD51V2FsTj9IWWZcXFdJbHVucEp3aXdTUVVYcGtzXXBVYFhMSUttWUxVQWp4VFZWbW5MPG93YHBkZXRCVHZBeUtBeXBZcXM+aW5FVXVrdFdYQVZGZE10QEtobUtsUHFsWE1EVFU6WVBUeFJJUGpqZFl0VVk+dVJBQEtFeXhsaXZNQGx5dFloYUtpeVJ0WHJ5eHdVTFlQVHhRTFdzdG9pTEs/UE5HPVM6eFdheGxncXNoeVJ0TW4+SHE8Q0FzQnlNY1dtRl9HaDpVeW1fU2lRRjxNeWo/Ym53c0FDdWZjWFU9QnNDU3J5cnlrZmt1Um47WGB1Q0p1aUdNeVhTSD1DeXRZd1s/aW9VR0pzWXlpeVlrY1dTVURzRVlPQmJZdGF5eEZVV1dtY0hvSz5FWVI9dUdFdllxcW5Fd0lgUHI8c1xcSEpLYFVSPU9QVWxdcG14VE9ESXVgcXReQFRiXFxMcFFuPkhxPE9mVj5ddkl5ZldaXW9xZXFqO0duSGBzS29tUF5tW1ZyO0dxRVl0PFlqPkdpd3BkTGlrP0hhdkhgRUdbbW9cXFpxaXh3ZVteXl5JXlBpb1V5XmxXbG1Hd3RJYj1weVBuaVlJbUNAcGpYdV5Oc1VJdnhpeUVRZnhvckZ4Xz4/bmVvbF9ReVNmdW5Ha0RQaDpGb0o/X05uYzpHW21nSj9rSGx5TnFzYURNY2xQTnBsQlhYPm1rbFVWalhXPG1KT3BNYXVYUGRvanRReT1MWmFQdEVxV1xcbVhIdENAWEhYeHFsdWJlTz5IUT1JclVgV3NtWWFpbU88eG5hc1ZsT1p0WGlxbTt5d3l4WDxdUj5pUWt0d2dpd0Nwa1dkb2VsbU5Id3Jwb1ZBVU5MSz9YV1pganNCRW90bGdXSFNXZ0t1RllUXVN3Uk1WV2VYTldlRXNVPEtHVT1pWXNCSkVnOztUWj9HSmtFZlNUTWlFV2FDbk9zcnV1Y2F4XFxxdkdBUnZ3eXhhVnNTdj9VYld3cnFBWFtRcmBdU1Y/dTpfcnNRWE5PR091cnNnRW5TcnhpeW1HaGZFdUE/U0I9dmR1ZlNBQklfeUJnY0dTcjpHQllVVkFUUEtoUXVtTEdhVGxVeFZwV1RFS21lWjxJa2JGZmhEUD9kWENyWU9WeUdTQG14ZWVjVVlid09Cd09Gb3NTZWtjYXVGZlB5P3FLOnFuc1BYeEF3UGBPXVxcc01UTE1AdGl4dVFQbjxsTmxlVFp4b3BZTFo8d3k8TnJVcEJ1WHJEV0xVTHZIeEBhTHZQeWRBU1FYeHV0VlFYbV9YU1l5TFBsWTttWGk8blZBUFp0Vls8cnl5SmZJdW1NbEB0TG09eGd5cGhIVFJMc1tAWEZZUmppV1dhcWRcXE9eQFRiXFxtQlBMYFFLP3l5cXhYYDxWbF1UT1V5eVVxdURtZl1WO0xsOkROSkBSWkRWS1xcVk1oTmxJa2ZBc3h5VHg8bD9dSktASlxcYHlLXUpTXVROPEx4ZFZLeHY9XFxMOz1SOj1SO0VMR1RrS1xcSj5EdUNIVkNETmZJU1pUS1tETlVcXE5NSG1jcW9pcW10aHVjUW1UcHdoWFVXaXRPdXB0bXVZWXhWeW5lUG9pZXV1bW5RSG9xcFNZWFhoSExHPVN4YU9HWHU9UFlcXElsZUlMYlFsZklxaGVNbWVQQnFzQVxcbD9IeWZ5dDpocm1hbFNUblxceXBdTFZoXFxxalFZdlR5ZmFYX0xXQUxfcGFeWlZtPW5gdnlpOkFuaz9yZlhlTkBoWUdvPnl3Y0FpeEl5dWZsOnh5T25iSXBjWFlgZUFvVW5jQ19kd3h2WFhwTmlbP1Fadz9oWkFdWld0Q09jTnhbUVl5VXZdXVF1eUd0P3dxb1dvSWFpeFl4Z25kRD94d3lgbmlrcUB0eT9cXGpOcmxoXFxDR1tbZnFETlttT2JGSGt0RnlNb3NjYFxcRFF0QkdbO1d0cl5oS152XU9dUnhuO25iR1h0ZVBfSHlpSVdtdVF2XT5yeHlyYVZmRV9idk55YllbcmB3bHh1Y2lta053aUdnbWFyR3lbTU9adldzWU5fa1dpbT54Q1l1aFF3U3hhdUl1SHBvYWF5OlhaSGlyakhmQ2F1TmBxbXFzTUFxaXFxRT54YFltSXg8S3dtUUhsdVd3VUhLZ3hWTUVQaXVPO1V4UUlseUV5U2NddWN3P0JNcWZXaXRUZUZNc3Z2b1VYcXVyVUN3WWdIQ0Y+X0Y+Y2JzQ0Y7X1Rlb2VMRWdZPXNoQ2VkbUVtVWRzYVNhU3hJV0ZPc0ZgW0hya1g9X3dyd0NqdXlHT1lVTVdUd2ZSPWVpS1VuX0RBaVlneVJod3hTU3J5P0JmZ2l3dXNIZXlOaWNKQXlpWUJFd2VAa0lyd0I/X3lkW0lwQXVvO1lsSXNVQ0hrTXZDO3V5dXltR0h2PXlgR2hSWUltbXZ5Q3haWWJRT3ZHd0hYY0dZW0VyR2hMY2ZBUUI9b3JQbUljVXZdR2JJdXU7YXdTWUNqQ1dMaUZyd3ZYd2VBUVZlXUdGcXhCU3hrU1Vgc1ZBQ0Y+P2I8YWVKU1JUZ2R2SVVjXXVwT3ZSZWNQcUZxeXNbU3ZCTXhYP2NJX1U9V1ZwO3NIVXlPZ2JzP0Ndd2N4O0JAXWNIbXRgT0lKQ0h4TXZDd0k/YXlzVWM6b3lVO0JVY0VTZWltP1lcXHV0WElEUnd5OjtmPkdpTnFCaVF3ZHVyTXNTVnV3RFt4Z3doWHlFdWd3cF1JcEd1YEFWbll3cTtHTFVJX2V2SklnTXV3O1lUSWV1Rkd5bXlWZkdJaGtITktDP2NYaW9oS2VYS21HXlF5ZUFlbXlIeG1jeWN5Y3llckd2QFdZTz9SeVFYXm9IYGtydndYRVl1VWNjSW1zSEtSQkNCP0dJW2tWblNHc1loXFw/SFFvSVxcW2V1X1l3TU5KeXJjcExnQHdlWEtDZFZLQGxQSFlpQXd3SW9JQEpBXFxtSkBvQ2V4amV3b3hYXXF5dXltTmlOaXRQT01yb1RNSnhNanR2aDxuXUVwdWBwd2FsY3R0XFx5UHlIcVFlcHlUdk15U1VJUHdNeT1wV2VZdXE9SmBcXFNSWUxVZVdveE9AaWtVQGtLWW5xWFJZQFxcQmdlc1BoQ251dXd3c15xd3F4eUh4VFlnTT9gdW94Tj9peVZnVXBndEheeD94PXhvZVZhQEd2OlhaeFhaYUd4TT9ySmlvb2lrPWdgQGZrS3d3U0l2OmF1eVZ2RllgaWByaFlxaXdvZl91Xl5sV290W3Z1ZWlabVBzdVldPll4ZWhaW15qTldqPGFtSkBiREhuZmZzQm95ZkBdXW9fQkBcXGVReFdWb3FHeFpQXFxMdmR4cGlXdnZvRmtXcHg/bnlQX1xcYHlfeF5tdEZmeFF4RXlnW1l5WXlxVHd3RnB5aWdlWEZwUFZrWWRJd2U/bUdRV3JXd1hYTWNrWXZBQXZEWUd5V2NFa0dyQ0NxZ3VwdUl4dXh1R3NoQWVMTWdqX0ZMaWJWbWdHU3dpd0k7U0ZAXWM9UXVldVc+Z2hQUUVIR0I9a2JiQ2hYeUM/T1JYZXhpdVhlT2dmP1VrP3RvYWNJeWV5UWl1QXd5QXJwZ2hvSXJ4VXlncWJNb1N0W0NBc0V2eVVoZXNvRXZWWVhJPXJfdWRXUUJGcWlXO0Vya1RBZ3VOUFlkaVFVRXh0bFRndG07WG5JcFFJdHN3dFhVTHlxeVdedE5cXERWeGxtaXBXTlB1b3FwdlFua3BZPEVZUVxcakpMVD5QclZATF1NbUpgeVNlTEtUUWVkS2BUUFc8VDw9VXBUUFdgUVhcXFVbbVl3cHVQUHNSVEtPQG1WRHFrTXBwZGpaYWttbFk7cGtIcFNaPXdhRWpLVFlOcXdWcXFKPG1tdW51SHlNeW1YUGpXcVhldE9zcXFIUVE9PVhgSW1BQXFnbXZGSVVyeHd4eHJrQXg9eXNbSXVhdVU/UXNPaHdCeXZ1PFBxbXdlcFdFVHN0VXdnWGp3dHhWSUtBXFxNakRMQWBNbGlKcW1PeXRMV11YZGxNdV13P2RVS212d1htOkhLWXlUWVRvZGR4RGlSdnBrd0RMUkhYS2xVc2V2Z115ZHlUcUF2dXV1dWxQbmhVUEFOQzxzX1xcbnhwWVV0VHZhTj5gTkVkanNEUz5gU2BUTkRZeGVRb1d5dnJsc0FFU1VZTEZVcEx4UWVoWG5kT1NAV2Q8dD9ZbVV5c2pdc1JAVWldS2pMWW09dj14cG5xcU51VnM8eFVEc1RhVkJRcF91bVpJa2FsbmNpbWt0clBxb15JVGJRVDx2Z09ZdmR3ZF52bXFvdUNoZHVwZ2toclJ3dD1oX2dYcG1Yc29BbnlgeExZXXJGeV5ZY253ajtWbldBeW5HXUVpXVFvdk9AYFRGb3VuX3lwcW5fXzxxYlVmb0FYX2hAYU1WYWZBcD9uYFVhX3JgeFlAaUhpcj14cVdxaEFBZnNReHE/anNXbE95cl9BcGR5Xm5pZFxccWlOUGl4b3NpSWBzT3hNZm9dXnNxPmNzP2VIRl5eaF5aQGBhRnBcXGBac2BaclZzZGZeYUdvYEZ1eE94VUl4SVZcXG9Oc0JAYU14YT9wYD5YeER4dGRZX0FhX0dfb052b3NHY1J4Y3d5YmRfanNHblpJaXdYYDt2YEtXeHhRW2ZgbUdoaFBJXURYdWl3cVJGdWZIdWlgXXdXeXBJckhXYWdHd3BYZEhHcU53XmNvZ3BPaXFRZEZwZVBuYURecXl5YkZIXW1IWkhgYWx3ZW15YUBHcENxXl1AaD1pW2FZdmV4ZXd2XVI/eEo+YF5XY1o/aEdgYkJhb0h2ZUtoYk9QZEdRWkRWSEtWUVtEYGFGaF1Wd094aUVZcHlTUU1Wd3lESFd2ZnNTRERqQk1qUlV0THhhPVldcVhlSUBicXF4UUBtW1FpUGZfREhaS252cWl5RHdneT94cHBjPllleV9nTHBcXFNGXm9fcT9ZXnd5bXlhc05xdWpHZUo/b0lnal5QdV93bzt2XXhZcldhcV9xbEVGcFtxal1OZnBgdFZYbkhQdUlWZGBgYV1gd1Zgbz1PZXBQeWtndnlUc3FpdEd1cndzV2F1dXV3SWlyZmVWPkFZZUtoakN4TT9EXFxFQk5rdl5gVV1QdWNAdDt1czxBUE9xTmNwWD9NVlBETUt0dkR5bTxlbj5QcWpIc1lobnhZTj1FVU5UT2xQc1xcYE9kUVBhbW5YeVlLRWtSWWphZE5lVWxbdHRYVXk9XFx3bXhzYz1Vc2BVQ3h3U3RMZUVYeDxZbVFYQXBzX3F3REhtPHlweWhZXmxLd1xceEVES1NNV0hpUFFhbT14bllwWT90V3ZIUFVFdXhVT2psd25QWFJwa1ZhbUR4VHhtd3dQV3VYc2dAc2xpdWlxbnJcXGs/PXdQTHM8RVZIPUtDbU1EVFhMVE9IWHZGYXNeTVBkUXNIWE52dGphRG9ddVR0bGtdTUxpTGw6ZG4/bGpGTHE/RHRdUFVcXGVwTVBqXFxJckdlcWJReHZRdTttVF9Ua3Jlc0VNcnZJeWNEb0tsdkxAcnN5d3l1dT5YbklwUVlVS1N5UGlgVFxccXdaZHRIXFxPQGlsWWFKbmVvOnFwVXFXQFhzaXRRbURXbWVrUlxcUGI9SmhRcWVRVGZRcWVJS2JBVXBRcHBxeGl4cXlwcUNBbXdVTWpgU2E8bnhldmVUWVtxclV0WT5Ibj11dEQ9dVxccUpSTXhbPHBkWWxscXlAVFZNVFA/QEw8TVNKPW1NYE5yUEtXaWpzQHFTZFZzYHJ5QXl1TE87cU9fTUxeVExHXVFlUUxWVU9kVGhPcGpZZ109aG1YTl50eGZqbmN4YWBnRmJRXl5KeVpcXEZ4P2FqPEB5VnFpOnllaEh0eU9zQVBjWnFzWEhaRkh1ZEZnZWBrUnFpdUlbUlBhb3l4clZ2Rlhza1d4R3lpPW52WXlvd1BzSG91Rz90TlFicVFwTmdsTl5seUhjTHhiX3lnbGdxXVlbeUlvaD9geGZod2B2PW5abllyT3lkWWh0VFZrRWZzdGdvdmhhdl9cXGo+ZmpPaHBAXFw8P2NLTlttT1xcdU5jTndhXWBacVltZFd0VWhlYHZxbXl4Sm52Sll3QXl1X1lhYGZyXXh2cEZzdlBzPm9cXF1vdV0/dmR2cj1RW3NQZzxmdTxocj5QalJ3Zj1maGVvcD0+eGBHeGd5aWhJbk5BW21HYj55eEd3YHdBXXVpd3FYX0hRYWV5bFJYYVF3XFxTTm1qRmZGWGl2ZmtFQHh2d3Z1dmJzaG5admlsWWxVPnhDeV5FYXVdV1xcYW5nZVFpQ1l0cnl4Tl92d0h3X2l3a1hlYXZmQUZePkBpWkBgYVJ2Q2NoUXJ2XVVPb1lcXE9DXmVEWHNXW2VWa2FlQUFHRlllcj9ySmV0O2VGU1VUeGF2ZFVDSkNlRndGQGN4aXdyYj95U2l2OlFoanNZeHl3OnlUSEFCbG1kYFtnUEVSTHdGST9JXFx1RUZBZWtxR1RRdXRRVnZBeUdndlFzZV5nc2RXZW1vc3RrQ2FnZXBdYlVVVVdNR0RBc2RlZmdjcnVvZXQ/eFVfV01laVlDRj5fckJjYnNDU0RzWWdReFtnZHRDSUhXZFFNdmBFR24/RWlDSHZHV1BldF5HRUVbQ09RSUNdaWBpd0BTYlBVcjs9WUlZWTxdd3J3SGp5cmVbeGRbY2VrZDpTdFhTQnBNdWlDV2VPUk1Xc19FaEdxSEt5R15hREB1dUFFRXBTSGo9Vnl1aHRhU0VJdGtPZ3V3cnZddXBHc1NRUkJDRlhqanl0R1h5XlBWaWRzdl1YUWx2XVBucXROQnBOZzxQXmF0bEFrRU1KYlFPPUhZZUVWc11Zc0VLQ3h3T2BOSnluYVR3d3lOaGlTX0BQaW1Mc2BVSER5dkh1aXhOXFxpdWBESnZoUEc8d2RhdFVZSlFRSkBxbmFcXFhEQExMUXVKPW1NQHVDQXdZeXhxUXhXbG1TVXZOSFlkSFk9QFJNTExgSVI+RXE6QWxKcXZlWVRJQFJJRVRiZHJRbHFMbUxgeVd4QEtGaVlVPHVqTFlpWVhURFBXXWxiXFxXWXFVRVlXSWFscXhOdm1Td2VTbGh0dVFMPD1TRkBUUlhsXjxURFxcS3hhS2x4cmVdeHl1dXF4VV1FUzxxVkphcj9salZQVWV0TnRZU2BsamdYVmh5UUFRWHBEeUY8UGBVS1pteEZlV3BhbFVFamldVVZgcE9tVFpkdEpNdVVZUTpgWUdAdGBQdm1leXV5Sk9QdWZpd2J4S1FZU0lobHF1cFRpT3NUVEJETj55Sj9IUUNobEZtTm1sVHdcXFVlWVF2UWxdQVFpYHRyZHdvdHV4TUpfXFxMVGBsdklNRD1tdWF3a0xtbmRWRW1uaXlZPDxYPUlxdFV5P3hZOnRqV3BKZlhtOnlLXmxsa1h1aFV1XFxJckF0bTxsUXJ4SlJBd2VAUmg9UnFxS2dZSzpoalRdV0RleE5MVD1IdWlYSkV4TGJpd2ZtTFJxeUVIa1RYUkJETlg9T0ZJU2Y9T0ttTzt5b3FZb3BwbWlJb1p0cGJhWFlxeXBMV2ZwUF9sdnVMTm1sc0JwVl50WVA8VHdsWVdhcm1JTV48dHVkS0BBcEJoTXBRVFlwa0dIakl0dmJ4bEBldU5deW95dG5RbWVsWXBZcE1JeFJZVmlMVk9ReFNMd3BkeEFpVHVJU0dMeF15a3k8UUBVc0w9c0VUVERZdVVoV0FcXEtYdW50dVU8PVttXlxcYGU/Y0ZeZ0ZCV3hoXXhucVhJbVQ8U3lYQWJNaWZIb2VxX1ZcXF9HcTt5WU1nd1lITFVGZU10Xl92SXV0TXN1X29iaF9UVDtoWUd2dm91O2d5d1VWeHdYY11Ec0FlVjtZTDtYRWlidHV5c3liOmdJSU90W21Hdz9lZ3FoVXNjYW9ldEdFYXFldWVDWF9ZbE1FUGVnZHFpeG90QkdEPWF1TGVjUW9VdE1JdGl4RXVUU0dzUkVzZVdFT3lWWTtHaXl3bndjdFF3QmlzZUVyTT9jVz14Zj9zVUV3dWNlY2tyXndkWFNoX3lybmN2bj1EPF1nPk9yVl9yP09UVT14UUd1Sj9ET3dnP2NlYl9idVFGX1t3WXdUVVdpdG1DWUtjUmFic0VoSEdZWmN4XnNZXFxvYmpzR09BRklTZHZJd0lXUlllVmptY189U0dVeEF1d2RzclR3dXdlQmptc0dpaXhDUkldaVtZVGA/eV0/ckI9SD9jRWxrRmdNZXR5ZGtPVmNvSVZxZmhdWXFNVHF5eD9PV1lJZGR1dXFzZlZLYlBZVl9zdVZvV0xlQ2NTckVZR1tbRnZbeUlJUlRvY0xjdExNRWt5WXZ1YnlbVGdBVl9LaVFHRUhTRmhtR2k/SHlrVUdXWVtPSXlFV05rSFBhck9pdkdNU3hhWEF5RGlveDpvZUFpVUlHWUBjdmV3WVJhdklFd1lPUlttRz9VWXhZeXU9ck9TZG5xeXVXdDt3UmhBQnBpQ3Z3Yl1bQlQ9SXFNd1VrVXFHWURhU3hLeEFPeHBxQ3U9Z3V1dTs/Z3lDUnRPdHFFSVlpSWldUmg9aW1PWE1pZUxPaF9fYkpfcls/SGFDWFpDSF95ZD11dGhzRUNjZzx1WWRfUm9hZ0pTVmJjVkB3ZVpfWT9XRWBPdWlbVFVfRFNnZG9DV1BRc1lPYzx1UkdXd3A/Y21RU08/SUZlaWJRWGh3WVthdE47aHNxQ2RxSGZBUlpJdUFjeHhfclR3V21XSWpvWUVfR0FzU1xcd1JoPVhFU2dvP0VpX3JVeWc8c3d3b1VYeXlcXEl2WD9kT09DPkVQVm1XSlxcTnZtUnhld0NhcE9kcWJhS3FFTj5gVEFQclZgUFdkTjppTnNVdFlAclNsWEZ4eGxEbUZ5bU5xdkttbT15TmVYVmxQamJAWUhZb1Zla11gblNEc1lAb2tZVHRATlthT29wVHlhS0w8d2xheWFQb0dsS3Boc3Bsa3RUTVJIeTw8cE5lcT9pbURdWFd1WUg8WFhpb2RxVV89VkxxbEtUV0p1bWlRUnVwVzt1cWJkUW5ZeWxxeD5odztoa3B0Ukd5T2ddbHFMdmh4TndAcVI9VXBoU0VgWERcXFg8PVM/PE9GSVNUQHk7UFdBRFJhdFlQQFFZZXBdXFxsOnVsZXBvPmFveVRuPk15dkFXYWhPP0FtcVROc1lMP0VWWEFTX21MaUFyT3BySk5vYEBkUnhbTm9gWXZ5XT52VFhgbnltcXZ5d2ZtTk5pZGB5Sk9iS1d0ZUlcXElGaXlnaEdBczo+Wlo+OkNUSmNkUVdlSFViT0NUWXVlZG9XbHF5TW11WXl5Yk93d1VzTVtIbmFoRXVjSUdXa3FSPE1kbFdod1FjPGNlSktSREFUUldkTkFmPnN4ZmVGOmlGQ19UPGNSd3dkdkNVaj13XFxPdnBJQ2RndVRhYlNpQ3RhdFVfeWNvY19pZHJtc09NRElpeWVbRW1jRXlfVklRQ09xSEJDSUhnRmZlSUt1VGNFWVpxRnd3SWdJSFdrdGw9dXFPZG9XY15TY3Z1VURjSHhFU2xxWU9jZmZxdlltV2Zzd0k9dUhVWUZZRXBFY1FJWV1rd1xcX1dEeWdOVVRuXURlTXRta0JXP0RcXEdmanNGY09SQ1d4dWdkcnNESUd5RztjbVFXUGFzXnlTW1dXU11SPGF1RUVTT1tIeXNJcEdnVktYZDt4eFllOllHSU13d3lCaW1CUFFFQFt3d11TbG9YS19WQnlHUUloXmloalFDXFx5UnlRQkZpWXFfaXk9dUNFRHd1ZWVhaUtzd3BhWFFvaUNBc25ZQmxnY3Z1dF1pUnd5Q1BfY1BpRU9VeTxPV0lZZ3lZc0l3VGN5SFJlSXFPRkhVdUJDU3VbRGBhRm89Z3ldeHFTZ3k9eWlPZ0dZd05VeVZdQ21LZmNHc1lPUlhtZ1dNVEdJcnl1Z0t5RVtRc19rVDxtWWh5ZEpbeU5vWVdpZkRVY2ZLSG5FeXFjZDpRWVV1RXV3dmQ7Vjp0WXBEeEphVmdVTmtRcEBZVGg9d0dxbE9sUVk8cWdgWXJNdnhBckBZbVtId1l5Vl1JUlZkWU1ATmt5dkxAT1RYTT5UdU1kcE95eVhFeW9NeGZkdERFc1hMdl5EWXZQU3FJc2R4cXZQdHl0VGdNa3R5dVd1V0NcXE08TVlHRE93UFRNcHVIUHl5cXk8UFlSSVV3WXRRaGpAYFZjWHJXPW5daVBUQFVZPHBDRXNZaG5NWFF5bEp0cWtqaU1ZPHV3eFNqQVJPXUtNUG9OWHdAQFFBUVA+XWp5eXllZXBydHliWUp3eU5XcVlDcExvdG15XFxPY1V3Ql1NQkBYZ1xcbz5IeFFkUzw9VXh1bm5BVkFFdHVwUXI9T2o9eUNtdTtUSmBZS1hQbmtdUT1Aa3FhdXdpdmZlb2RUd1Q8VT1geT50dnd5cm55VU9QUWN4eUd5bU91S3VdTHF1cWJQdU5lWGZZc2R5WXFhbWBRbUE9U3RIbmp0XkdQeWF2X2tpW0lvcmpWXFxUWF1tT29iYWVeYGpzYF9JbndvUW1xeWJxUWVgcXk7YGNPSWJEaWpzQGBuP2Fqb3ZvT2NWWF9rZ3BOZ3FQZ2o8UFxcYXlcXD1Wb09AZVVZd2JhbmdYXkdxYkxmYUVnYENpY3hueE14Zz9udVVIZVh5YWxZZURvY0RfXFxWSHdxd25TeGBcXGlgSnhlSWFeZmheZWdnb0leeXl5VWlfTkB2WFdld3lfWE92dW5pVnhnWV9dYUZcXGFudk1OdHQ/ZFJYXFxcXF9iTVZseXZ0dmZ0P15oZj5aVHFgbmlrU2dvUEhxcV9xWkhxUVhdUnFsPG5qZXh0YFlxUVlaeWBhR3dsS19seXZ5SXhkPFZvTkBndT53VUhjVXdiVHBqTWlxXk5mSnl0a093XUFyPXl4Tnh4YW53QV5neVhxO0lrWE9tdldeWFdnREZvTmFeX25cXD9ZaWh3ZT9ObmNPb0N5c0pmbkxIZFxcP3Z0UW9zaWpzeWR2V3lxVl9rcXVTYWZVQVtDZ2FObnY+YFpcXGFgeUZ5bWBqPlhwXnFqclFcXDtnbmRXYmdQZWBRYkpAYnlhdEJRcU4/cHhBZVphd1lRX2tveWc+ZkthZXdfd2lPY2Z4X1h4WlZWaXhQaWdBeWlnb19BaFFIX2pRb1ZRXUR4eFd4dDpYYWhwX2l5Z2puYkNfckNnYVFWXFxsUF5zWXBQWWg/aXJMUHlGZmpHR2hhUXBgX2JgVmxrUVttR2ZCeHBJUGl4V2RvQXZZZ1tmcXdgV3VAP2NlPnJlPl1bbmI+QW1mbnB0aWlfaHJBSXdEZ1toZm4+PnRqUGI6WXV5Z2hCSGBMP2pyb3M/X21ZZ2lUPmB5b2x4bnhOeXVOQGRRT3Z2YXRFaWhHXmhMUWFuQVxcYGlkeHZybW91QG5veUlvdEhyZ05hYHdaY2Zxck9zSUBqcHBpYkl4P25wX0Z5bXB2TVFcXHFvcU53dWZ4ZmZBcVZXX0tpX3lBbHZ5ZWp2aWN5bldfaXVZW0pBdlxcVmg+YHhQXndycW5NTmxETmZESGFPWGtrUW9xV2tcXGFlUD5eUz5kW09qak5ed2B0cVhaYFlbUGZuOkhmXV5scnZxQz55b0llOlllaUZ3XUNpS0J5c0lLO0l3eWQ6QXNHT2Rvd2M+XVM6eURGTXZDaVJOd2hRU3h5Z1JGd1N0P0JSdVh3T3lAWWg8PWk9dWJuX3ZRZ0Q/SWlPQ1NbV2ZKWXRqaUJ4Z3lnY1l1WVRTRWQ/P0RtO0dGTExCVWxRbXluUVRUUFJQZVBWZXhQPHR5VWxkRFNaRVZMeFFFZVlVXVNSWEs9cGo8dFZ4UU1yaHdcXDx2c3hqbklwP1RwOlhzeHBuRV1PaFVUa0BWPkRTV0RtaEluYmx5SWh5bnlMOlhVeEVueEx2V0xZeXhrdGBwd1V4djxWTUV0QWh0eGBYUHBOeW1UVFxcUkxwVVd1c3NBVlVMd1d4V2BZdVlNb250eGx0dWtoeHdVeWlRako+W0RWaDxfa0JIXnNZdHlhcF5JY0NAYWl5YF5wcnFmYEZAYmlRYGJZbDxPeW5pZFxcXmVDVnhvcWBAbl55cWJ5YF5ldmE7bm91cW1IP1t3PmlMcG8/cGNMWWtVbnJbSXlsP2FYaGtBeHc/bl1yWGJRR3dLTnlwSG9JWXJzPnJQcF5lWGlQYW1uPnZzcV5gdmlQV3JXd3daQGxuZ3JQaHN3V3lpZ2RiWXBQeGdZeV9WSVtbZkRbc0NcXGplQVBJSE9zWXBBXU1mUHVZZXlrUFFHTVNiaEtiSExhTVdcXDx0RWxWYGxuTGR4cXVNbk1QakxXVjx4dXhtOmR3ZWR4ZXVYeWlrOmFtU1BVcnhLWl11c01XU1V4c3h4dnVRUE1vaWFyV3h0O3RvdnRUeGxQOkVLUFlsSXlKcFR5RnVzXnVzWFRWcFxcV05IUllAb3dwd0hwTGFxVz9xbD5xUUlxTjxhUWlZdWFwdFpcXHJKbFlTPUtDXFxOQGhseVRXR0x2XmV4VnF3TGl1ZFlPVWh3UVVOUGFwUF1NdFVPRVR4XFxUdWlpSmY9cEM8eGVZcG89U0VAeERZbDppTkFRTztxWFM8UHBVdz5lc11kS1p0bXVRUmtsWXZtdkU9cld0dDxUc3hsT3l0UXZlUW9xTVl4blh5eUdIbEJ4UHVwbztNd25YdGdId2hkTFVtalNcXHNLRFFNXFxZdXlXUD13XXlPV0B3WUVRR0BMTGVKRFRYPF1rQkB2PHVPTllZR2RYTkBMSVFTYkxrZnBZYmRMYUxwdERQTl1KdFVSWF14UFxcVndlTkZ5c3VoVHVtc2FoUWB4a0NlcFA+YEt5bElBWnBxbD9Ba3RHdWVPdEQ+c2luYkV3dj12eGN4eHBpcmFOcXl2cF9xaDp5dHlYd1U/YmJIYmZAXFxoaWBGRmx0cHdsQF9TQGttQWlNdGtxaXdRUzxheXd1dXh3SWhjZUpLVD9LQ21NUkZHY1pRYll1eDxXRnddWV9fY0VLV2ZveFxcUWZlQ0Vna3NXcWRNaWdVdXZYPUdKWXlJS0JIZXk/O0hfcVhfW3ZoV3RFWWhxRWdVU2V1d2dMTUhcXHlJRF1yVz1zTE9jY01mPWVZSHlFc1lCanlYX0tzUVVZZE15RWVzdFliSUdCcGFJPnV2S1tkPHlUXFxBeWJ3clNfeVNldEBjeFNvd1ZdZ1h1Yjtncj9BY3ZzdXVxRk5BUkNhVlZ1RzpxcnhXck9fYnNhU1lxeXBRd1ZhZ11BSXc/dmFVSTxNRT1PclY/RF1cXFRPaHJeTW1EXUx0UVk+dWpBcWtGRXheRFNOZHdwQG9YQGtvRXFCdVZFaHlPWVZbRVZLWXVYSHd4bHJUQFVWUU9bPVBodXVcXEFNZW1yRklZaG1KdEFySEV0aWBXVHl5cj1WbWl3OlhNSXlKeGxPUF1YdUV3az12d2VuVWxxc0VPakh3cEhrVD1TPDxMO215PnltO3hZYlhNZmhWRVBxeXRQYFVYWllvYUBKXXByTnRLTk1TSGRvO2hLXFxpUWRUTV5cXHA/TVVQTXNlcFZvXUt0VVBOSFFqTE13ZFg9YW9EZHlYPXhnWXM8XFxSVT1vcFRuQ2xQS0x0TD1UUkI+YVhfeXNCS2Q7UWdYb3ZzUWdQYVNkVVVNdVdrP1lrbXNRd2ZOc3NUbVlPW3NmYUtrPG94SHV4UFk7XU5DWEpQUFhoRXE7TVFuQXJARHJoTHZ1eWpxPXdKcUxDeFBRbExlZnlsWWw7WGJgRlpZT2FrQGk9SWJmSGZTeWI6eXF4YW4/R3lEdnVUaWA9cFo9dlpXZlpGX3VpcGJvaF1VT2ZGWV1uSGJCVmZBR2ZvZ3FQQG1sbnJxeHE8SWhWaHJ4cWNkQXU8YGNgVmBBZnV3WHd1SGo8YW1KQGJiXnNDYkJPR3NZaEh1Z3VXVlRTUlRVRnNZaGNldF9ddFJnQmN3RVdJVGZzdmBJd11LQldNZ0E9c2xPdlNJQkJdQ2N3WHhNeU89cj15aUFreWxlZWxXaEV1YnFfeW95dERNR3ZTZ2VtZWlXdmljaUZNVj9tdU13VHlpQ3ZTWHlvWUZZeURZWXBpVHFjWXVtRUNbT0NMeHhpbnRdeW9xdGJ0b29tb1NZdGtodW1NdVxcdWpAeXFUVXRBZFB0cVE9cHc8YXltUW9XYUxzaFI+RmBiXnNDSlFNeGFlbEhsU2NcXFVeQFR1eFVaSFJAdFBSbG49WW1aZGxeXW5vXXNRcW1ucXE9aVhFXXJNcG9gYXVxWVc6QXlXRGpZcW1JXFxPZkxXRHhwYEhKUXRNR1xcTXFFSmpYdnhES1JpdEVIc3FNd1F5eT95am9Nbmh5TnhpbFdpTHd5SjxUWVZEblhZcV1BajtZdzpkVUVdVHVBcWF1cUphbl9FaltASlxcaVVJVVhSeFdZeVV3ZXJFUHF1UHJLbW13aXVcXHhQQUBsUFlqPGFtSkBSRFVPeW1SblxcZE5ReV9vZVxcYXNtWG93dlpkZ21KY1VBeGlBV0B3ZEhNU1dpZ3h1VUVoWUFNSmdVd09JUUpVakZIdUQ8eVtpbTp5TWh0SlhwbWZ4a0NlU2ZZTUhpSnBFeUw8WG5JUWZIWVhhU3hMVFlIamN5czpUUE5VWV1pUm9JbVJlVHN4dXRYTWJ1S3Nxd0F4WHl1UV5QS0NgbzxId3JZU19VWWpIcU5JVlI+dUFBZFlxaWdoaj1wbW9pd2lvbUNhZkA+YUhYZF9pW2FeakJeXFxgYWpSQFxcUz9bQj90dmZgWFh3YF5zZWdtSmdzSndjdklpXWBgXFxpX05Ub1dWaG94dG14WWFGUz9EUW9ZPWNYX21kZ3NYQGt3cnlFWmd5TWVZdklpQV9YT3FkTVt0bVVVZmFFeWdVZ29iPldDR1lZQTtZcWlUWmlpY1F3b2dlZFdTUW1UPU1yT21oVVlCUj9ZYk9ZaW1YY09EPW1lS0l2S2VVb1tlb0doclVoTT9VWj1Ha01YeGd5SE9Fd3VVPW9VYj1nbm1jdktzPE1CaWtIO3FHPE1VQEtDbU06RWJbT0VCP0hpPWd0W1NAQXh2UVVdXWJaO1dCQ3had2dWR2c/SVlZc3lpW3ZrQ2hteWQ6R1hZZ0JoRXlrO3hQWVtFb2E+bm94ZmV1V2dJdnlwUFxca0lbQHFyYUhrSGZ4eG9zWWhuVFlxOnlaaUdabWBsaFZtbVFpcVF4QGhsSkZgaHZgQldhZ1lvPkd5UWZ4R1dkSm5vUWFxUF9cXD9oX1hhd1BYeHR4b25pd3VpYWJZZ0p2c3JvXk1IZHFnZldRd1h4az1manNGXm9Gbmp2Xl4+XFw9QWRQcGZ1d3FQYV46cHRzZ25QQHhuV2ZJeWlWZ25bVng6V3F0cGhJPnVWPnNHRmd2X3N0P2VxX1xcam90Rz5yTlh1OkhzUVl3dHd2bFFhd055QT92X3lpO3ZyWHhbZmdha0ZdVWFnPU9mPGluZmF2QVdoO2hiP3FeZV5vSGlkaUl2XFxJaTtmXFw9YGFGUGR0YXdtVlxcb3hkdld4Z2lwcnZbPWBsYmFsdGh1V1FsR1hxbz9gUl5yQGB2SUFtdnB3S0lgUXlweWhmOmdpbGdoUVh1Rz9taWh1VkI8TVVBS0NtTUpNQHY8VFI8RXJuWXdkeW0+eVQ7ZW5TSFNkaFBnQW9QaVNvWVVfYGpXQW5JYXJ3UGpbRU1jdGxyPXJDTFVmbHVuWVJabXV1UHlyYGxPXXlZWVBuXXdzSUxhTUo9bXRHbXJ4QFFiYVVHXFxvckFNUk15S3B5T0FWQ1FSV1VRVml1WT1uPT1UXlV1Tl1ZUUBsPz1qQFVvVXRvR3VwO2xyZHh4clVrV0BqW1VOVXRwcXhrTEFZc2l2R1xcS0pwbF55c1JsV0xoc1NQd1NxbDxReFFAbnBIanh5bW88T0ZJS0M8ajxhbUpUTkxsVVo9c3dtU0d5dWtcXEtiVWx2VW90VW9tYHJTYHlTTHZvUWxyWHhwSXU6QWo+eFRocU13bE1yQHZIPHZbWG07eHFZUW53eHY8YHJYeHF2YWpoSFl4eHNrTHd5dFZVTXBwTW1sUFc/UExRWWtPQHZYTW4/dXB1aG9YdFFTTVRYcWxwYFlDRVFIcXFLXFxybWlxO3FOOnFqXWFUTU1WdlVMX1xcckFhV1N2YlZhWmNQeF1mX1lHXlFAdFBGYmZna1FpYVReXUFJbU9Ic15fZms+amFhZHVJbVR5b0pvYmFYXWRZWz12Z2ZPZF12aExfam5RW2Jec0NGWzxBcXh5aEZGcFVpbT1gbEpGZFxcX25HR2tjYHVkUV9daWBqQHdESF9HQXh0WGNsPmdbaGVFaG9eRndNeVxccl52TmZldEZ4cFlrO3hoYVh3XVFeVnd5bGdfamF2d1BjWnhpPT51b0FeV3lgQ05jW2ZeXFxpdHBnYVRReHJAdF1Jd3hBY0Vud2hwb1pJcDxRbEdRWmV3b2FYYjpwYmY/W0ZgdUJ3amBAa1p2XXhIZnZYa29mdkBQb1FRcllueEZuXnlvYFFocU5AXnFOeVpHb3hPZFFRYERQdVBgam5RXWJeU0xURkhQSU1YO0hOaWRqVjxwdF1qdHF4aEBKdHFPUVVSdHlzY1BQQEVucmFtR1lLXWBYYkRwU3lZZlVMRkhvPURMVXh2VlFuUXVtdll1b2l2VFR1TEx0a1V5XzxyXnl1OlRZWWRLZlFYWjxQbj1ZblhYRT1zaHlyRF1WaUx5OnVybVVTdnF4XFxJeT9xVGE9U0NIS2xxbWZocHBwTFhZckA9d3lYV2dJbHRcXHg+TXNRTFNNaGpSUFhDZHVKQHljWVA+dVlgTVl2PXVMUXZHcXA/cVNtXVM/RVFbXFxueDxPRklLa2xOSHR3UUhuUWxTYFF3TmB2cXBZOnVxXzxSUFlVb2BvREFNU3RydmBOdU1UX0hOdXRMZHhxQUVreWBTTUxSWUx3O01zb0lzXFxxUFlYdVk8cXlxSlpJeHVNc2VMVERAUXhZeHlRV2lMcU5wVFZxVnFlVVtpUlxcSW9tRUp5UVVfXUtxbFl1RW5wYVlFQHVpZE5NTWtqcWxdRVRzVXF1YXhLWUttQVN2XXF1QVVUcVV1QHVEeHJeVVU+RVlKaHdQRWxPbXhIXFx0RUBVb1VqQ3ltPkBsbk1sYHh5OmFqXjxTPkVQYElUdWV1X2BqXFxVeUI8bmlRS1dRT2R0d3RMd1F4Tl9pbk1oUl1tVHhIbkU9T2BhT1RddmE9bmxodkJZcDpoUUlQSlhscVd1T0ZddFNdcVNMT048alN0c2RxTkJAcE90U21BcFtRcW55bT5wWEJAclFAVFJ4U1FYb3BgVHV1dVVkTE5NUGBBVF88cEFob2FocVRxb1FYWV5FdD1pUTxVa2lFTFZRVnVoamtBTEtIbFc8VV1QUUVlT1JgeUM9S2t4S0RUWDxda0NQUmdwUFtRVml0dm5dS1BxdW1xUGtxbXVpUWdwa2FJUD1AU2hcXHZHYUxfTHZ3YXluaVRXRW4/XXJzVW1MTG13bXRjWFhqQGtTRFBUPFFgYVFaQXZDPXJdeVhlYW5KdXk8SFFcXGlLUXRrcWBwQD1MW2lPPFRVXFxxcF9IU1JEc2pJVHRcXGxeYHRmRUtjRFNMRHNDPXhBaHhSUU5CaG9rUXFNTFJMUUo/SFFbbGJkUF9FV1xcaW54V09jXmh2T0BsZVdcXGlJcXl5bnd3d0NwbGY+YE4+eUxfaGRhakpHZ0xPXUlPZ1d4ZmZGeVFoXlhBdz13Y01nd05ncWRobk5fZ3N3dl8/ZlBhW1dvaEphakxfYXFRYUxAY3NIblBmdWhXdUp3XlBPc3BPZWR4cV5Ga3VJbWppaVJBbXZJY0JGY2NubFZndkJGcFN2XkBRb2ZmW0hIXklnb1hObj5hbz5xbWlmWmxIaUl3aFM/YWF4a19XW0ZGXVRAXlxcYWV2QHdDb3R0dm9CUGBsV3RnZ2hNXnJVb2VEb3NOcHRLcW9NRmFfeWdneXRZd2pPYFtUTm9dUXFfXnheRm9kcF9nZmJfeFtMT2V2SHVwQHVDP1traFpEVkg8VU5lbD8/XXNxYFpndEJmZW1hcWlHcFZgZUBPYlZPaHBpX2peZnRPaVhPZm54bj1WZ0NAW0hpYHBuaG1AbHJReEtYXWVxYlxcSW5aZmhGWWdnTm9PZ1tgdmlMTmJmWWo8YW1KQGJGVmNTQGVdPmlFWGZCUWo+V29BSHd0eHZ3YWw6d3NvT3dyXnheTmxOV3dUYG48TlxceW9xbG9eaj5oZUF4YVFsUGFubUdgZFlkYWBjeGFePkB1QWZqc2Jra0Q+aVVVY1hsaVNcXENWZ0N5W1F1bW13UF9TbmdGcGtoSEVyW0tSZmV4dVF3YFVWXVNCXTtTRVVGb1tzbWlEUF1Hb2dSSlNVXXBTQkRTRVxcTGBhalJETE9DPEdGZElEdm9TUEVjUmdoRHdTX1tlXk9XdGNSZ29DZ3l3Y1FjZ2NZQGdCVUlSVD1kPE9RcHRUV2FuZ0xvdmFQTXhRQ05kRGZqc0ZeYF5yUGB5U0ZySmZwRkFoPFBhPkdgQ0h2UmZrSEdeQ0FuPXZeOmZpQU9dUlFiVE9aQ3heUWBiWkd5T2FiZG91UWdeZ251ZldlZmFePkB1PGZqc0ZeO2BcXF1fc2dna3VwW3VeakdHY2RoW0dHXkVIXFx3cFtecXY7ZnlBQXdMUGteaHJqX3hcXEliV1dzTldsP0dtRFdfVnFad29wZj5xa19gPEhzWWBqSnB3Sj9tTUJLb2ZeeXNCa1NxT2ZuW2ZbWVdYaVRWRVNtc0g6VVlJWXlIc2hlZXRKTURGV3RfZ1JxRVZvRXhrZ1VDS3hPT3U9bUdfcUZ3QXVaaXNgTXhhQ05NPG5qdE4+QW1QTXhgdVByXFxSZmxYQGBMeVFOXlF4bUBqcGV0bGhXRF1tSWR0azx3d110XW1XSlB3SmhQUnRrPnVSO3VPTGRUYmFPRHR3SFFWTVV1P3BLSXFZYXhPZmRyWmlZcVByVWhXRV9cXEBRcEpOdEQ/ZFJcXERZbHlWYklPXFw7QVxca0B1U2dmRkZcXHhnaklAakh5a0RpeT5ZblhoZDxmYXE+ZHduW0pZY3NYcUloeUZfa2dpcl5pcGpvaFV3bFtXZFxcV3FkWXlRcGxJeWZOVlpSUXZvd14+PD9kWltlcnNUeGFjWj1DVElVW11DYT93S3VUZ1doPHVlZnVVb0F0YGdSdF9nZktHWHNYc11VTVFYdEV3cWlIR21EcktoR1lCaXNnP0VmUkt5S11ZbmVJS0lZSXFYW19HbFdpZ1VZP3loaXVpVVlXZk14WF9CbklXU3dzYUdDY0V4dFdEPF1XO09aRkBmbHlmckhjRj5wQ3Fja0FwXVhiaT5mXl9rVFhhTWhfRWBoU3FoZ0l4aHdcXGdZc15Xc2FBaUl5aFlOY0VOYk9wXFxsUF9TYXdyb2tbRGFRQ2l1ZmZLZVFBY2FBQ0xLRm1DSGJfSVVvdXFxUkA/Vmx5RltaTEdjYFZsS1BaUFl1c091Y3BrXWFwcXZnQG9eeW9qZkFmckZkPXhuYU5tXlB3cl9xRGlbVElmXj5rVWdiRnBgYldqSlFgWXhjTT5tdkljQndnPFByVkBlP1BcXFZZYk5ZckhRb2dRb1RxXFxEX2dZdmRbeHM6Z3haVl9FYHZ2dmppUGRnaWxgUWVhV2tqSWNFQGJlaV9wT3VMVmdmR3JlaWdcXG9iTj5la3FxVT5mR3h0VzxgclRcXGxacU1lcE1YSWphPFlRZU11VFVDWHhzcXV4TVd5ZW50bHk7UHVWVHZzXFxxP0xtYFxcc0VFdj5sTFY9c1s9VkBkd0Z0UD5NbENNb1ttcmpQTmB1YT0/dVpedT9wbHNlPj9kUE1iPGFlUmFyVmN0XjtzcT1jYUF1SEtndztUW3d3Rl1YUWt2VW1IS3FHYHNZUFlCZ2FjbE1kWklIYmlSSHNiT3N3dV1CPT1UcldsX0BuanROUEF2cmxTW1RsQ2FTTVVtdT1ZSHRUTWx2aVhvcHhxYXVxc1ByVkhzWUhOYURQOnBYQEBtXkxqazxNdWhNSFRXWHl4YHlLOz1La3hKRFRYXFxVTWlEbnVAUFlRb0R1cVFpWXVZTFRYVkhAdmdga0s8dGc8a1BITHhcXHBtXFx0Y3FUcmV1XVFPR3lWO0BNb0hSclhLcFxcWXhES1tEbzxQclZAdUBhU1lxWW9EcndxbGl1WVZVTGZFeFtVa1pAU0VAeFtobUBZUmpEU29cXHZeRExGRFY9QFlxaHZtSVNCRHBATEttTWZYQXhneWtJQV9WdnJreWV3b3VraVdnVHFHZGRXdTxxdlJncl55c0pZUkpxU21dZ2tXdEBzZ3V1R0RndUhnc2VxU0JDU0VbRGBoV3JpanNBTk9xUmVweHh4d3JgVF9FVWdQVXl0c2tEeFR4UmlcXHNXQVNQbE55bWpAcFhAQD1BRFBdYkVBRUZHZFBzR2xnQzxpVWpnckhLUkJdR0o9ZU1TdUpPdEJXR05VRWZJSWBDdmZjdT5HWWtDVG5pSWJRSENnRj49ZXlTRHdHUz9BRW1xVV87R2J1ZmtBRG5XSFRJSExRRHVnZVA/WFNLUkJNZ1o/SGFQUjxtVE5AdlB0b3NxU1hYclVIb3BBUz9wd0xsc1xcaUxgWXZVQFdTXU5XTVVBPVRKcXNKdW5NcXNKVFZqRFNPQExMWVlbQFBhbFBsVE1XaWpzcUpPTXlDTW5iSWJ1aXNpRm1SYXdbTmVEP2RKcWNdSV5id2ZCSWNmP3h0WHVMWGU6P1tjZ15iXnNDaGtmPnhneW9ZZ25ZYVtZcXlwZmNqaFpfUWhDSGdzQGRNcXNKV2JKcWNtX29rWHRAdm91T2VsV1tCRl5jT2o8RXBLdkk9dlZDVF93dWVraXdpc21DZUZBVkFJWFBdUmhFZE09VFE7cmY9UmFfaFY9Z2N1VmJHRmJ1VnJbZ2pXZENNZz4/ZG5NUlttU2ZdVk93V3lnZ0R1aVFlVGVBeHZzR0RJWWFldHhJRWdHSV9fdklRUmdxVztPcldpd149SFFVYm5PY1o/ZldHdlpnZVtrRkM/VkZTV1xcbXhDQ0ZnX0I/R0lrR2Roc3V4ZXJJSWddQUllV0hTX3NuY2hzV2NhQXhYPWNWPWVRX0JzPXQ/T0k6PWlFa0hyZXVNUUZiO1dhZUVNY0hyTUlnYUNra1JFY0ZjT0Q8XWc7T3JWP3VCdVVudUNkcVdpR3RxSVRudURgUWRGS1k7XWZQQUlzPVdrbUVeS2dHbUdOYXh0V2VJTVY6Y3dGQ0hDR0JuV0hcXElTZkV4dFdsXmhKRFRYXFxvb0tnd2pndHBXX2h5c2NIdHF5d2RobWFJdXlhZ2BWbFNhc2tfTUFzZkdkP2libFF3WEFGcTtGWldWTnNEZEFJdm93Z19kPjtFO0FEbldMblhQXFxJU1xcUXh0WEw8TWREYlJ1YkxjdGVfZHJveT1LczxheVllSHR3eVVlaHNPZ0dTVGdxR09xZ0lfVE5XV0U/YjxRU1pTR0VfY1BBaURrcl9pU2Y9dWVxdVVPZDpTRlJLYnBtYj1vWEBFSUM9eFJbY15FRl5nZlo/SGFkdklNb3dRVG9Id2RodVFlb01FWD88dF1kdGBZV2RVWVNVeEZJVFxcPVF5SUtKWFVlUFlRVFVcXFVWU2xPTUxWTFQ6W3Jea0JKcXNKU2Q+ZUhAQ0ZeY0dKPWVNU0dLTUZ1bWVMW3VhVWdHeXVkZ3d2PVJZeWZVX1dHb1dIVWlkTXdlU2RjeXRSQVRvP2NdUVZJYUZPUUlgS1dqYVhUSVdIY3dGQ0lLU1ZTPUNjZUZiW3NDZ2hiQ3J3ZVRMcUhmR3Jja1VWU3hZT2dpZWNecWZQTURoZ0dOU0VFdWd1PWNDXUNaZ2Vba0ZrO2JwbVRZX3JjYUJ0b0lwO2VWP0RcXFVGTmtOQ1xcUmg8WFxcXFxUbUxxPFVTUVFQb2lzU0xrWHhMRnFVTlRNRWFOT0FsTWBSalxcSmdhUGF4cFRJT1txWHNpVl91UjxETl5kWEo9bU1MVjx4eDx1dnRdblBYSnNITldZeW5xVmlkVT9xT0ZNVG90bV5Mals8V2E9UVRNc0hldGNYV0NweT91a0pMbGQ9T0ZJO0l4UndkYltoZWlZaU1IYmdIa3NmS1tlaFViUWllW1FIW0FmV0deOmB0UklvQEF3Vl9kdnltPj9bQ1dhTm52PkBdXVlxQlBjQ2Zic25kZVBkRT9ySmZhanB2XFx3dVpIW0BnbWY/W1FIYGpYXkRYdHNXYmBvW2dhW2tGZFtAX0R5ZFVeaz0/W0NXWk5udj5UcmFJYFlXSHNnTnljaD9JcT9IYGFoaElTXFw7TU1gVEd5alppS1M9UWJ1blhcXHFtWU50TXNDRFdrPE9GSVs+YHlOX19nUHVvSXBaRmhXaGVEX21RT2NCZndrPmU+bng+XmFpV2pxRnReP1tVTnJfX3VjP21eUGdGZndGRmFDX1o9X2RtVmI+R2l4Z2RdcWBKTmJmUGo8YW1KVl5WUHVPcFteUVpjTl5KaW9QUWRFP3dTP2hreHdPbnU+V3RDP3JeZnRKV2w+P2A+ZndGdmJfSF5sWWNvZ1pQVmZ1PltbRmc7UHJWQGw6T19edmlQT2JcXGFhdW5cXGN4Z09BYE9pcGlndnhuYFZfd2dAa0doa2JhaFVecWhhW1FIW0Fmd0ZGYENnWl5eaF9YaENXZl0/XFw8X28/UHJWQFxcTV5rZFFaUWZadnd0XFxnXW1vbVdeZHNYY2c+X0RPcltXaldgY0xnb11PbkB2Y2lpcHBvXFxdUXNbaXlGSXRdb2NCV187R0ZLREJXdmNlaGJrVVpjUj5ZU1dXeGZRR1dzWFhHQ2tpSGVpQ2tHcHVcXHBKaG1uUXFBQG0+QWpCXXdOQHhuYFFWRWxlcXF5bHlpQVlAdVBxaXFDSW9BYW1jQXJLVHVjWVU6PXNjQUtzREtbXFxORz1UUkI7aVN4YUNjO0lES3c8S1VyQVN1dXNtTXZ3c2NCWWhPb3ZSQXVKbVZuUUZ1Q2VeT0VsTURNR0Y+PVhxRXJXPURmX3hSPXdMWXVCWUVGWVQ7cXNGRVRaV3NHcWg+V2dPT1VwZ0NvV1hFTVdTSUU8YWN2UXhEc0ZLWVZIPVNlQ1JbbVNCVmJOX206WFtaZ2BbcW1ZR25FUV9EUWNbSHV4SWxVd3Q9cGVfaXhmaWJwT2BDZ3Q9R1pfR3ZXaW53dnVlb3BFZ3NpP2NCeXFnUHRxSWVYWVpLPnlPZndGUWc7cGVMTndlX2p1d109eXFDWWNRR3hgTm5NV2lCaXVVYGljaGRYR3dtPmJbb2NCVz8+a0tuXjxJb1BZaGxHbndBZVc/cHVJb2lndVpnaGdmZ2V4aVhwYltfW2lzPm1GYXdkTF9iRWVEdk1HPz9ST01lRW1jc2l3RmF0WHFVXUtFbWN2XW1TcE94a2lIYUF1UmtHXUlZR19lXFw/dVhVWF1bVWJrYlRfdndVdXNVaFk9RWR1U0Y/cnlnSG5pQ0BPaGU/Rl9ZQ1FFV0FfWXFLU1hvWHN1Q2xnSVlZQ2FfREhVZGlzYlFBZVRJU0JDV2M7R0Y+a0pGYGBpcEpQa0RmXWdRZVp4dmQ+W25BcmpHbUxoX0dvclB2X2s/XFxHR3BtQD9pSGt5clg/SV5xV2tYS3hESlhBaltEbHZwbTtdVktpU2Z4VnZRdndUVFBcXGtXcW09dXh4ZExnRVhkYFE8WXhURFlZdU9yTXZ0aHlSXFx5V3BSWVlMeURWdzx3O01yV2FyQFBUWVBUQmRTd1xcUmxJTmFcXGpeYEpEVFg8TUprRExYRU5LRGpoZFN4TXdwVU9yQFNCWFNAQXRFXU09QHZHTE5PRXBAcXE9bHlqeEpRWVFTTUtBQG9OVFlWZGpqSUtESFBJUFZIUFVdPXN2SXlYeGo8dVNLZGpRaVFCVGxZdW5kSUtlVEt1cXFARXh3TGs8XVRVPXh3dU4+YHJAZGpzRE47Z2hzZ11DeW1gZmlWaHREV1xcRF93Ym9jYT5rdEhjXFxIcUBxbmtIYnJYbUZXdE5BYE5GW2U+d25BW2pxc1xcV3dLVmZaP2JKaF1rPltxV2xzT2d4eHdPUHJfT3c6QV9DZ2BIeHRlPlpdUXhgaHBCUHZ1X1xcO0FdcF5xWGBqSkB1WkBgYUI8SUN4P3VRaXhtUVlDY0ZYU3hFYVhPaUJrcWVhdUJQZ2liSVZjPVVyV2VGS0Q7Q1R3UVJpcVRVQXdKSVNsbXdwX0ZhSXk/W1ZnR3NUXVJSYXR2ZUlXP2N4YWtscVZxVXdKRGpXZGxMdFA9TVlGWVZzZXFGbE5bb1xcPE9pT15cXGBhSl9kTE95VFtTUFNIV1dHeU9UcUNDVTtYP015Ok95P01ZT0dHPENoO1l3WEVIRmNmXktyUVV3QT1FQGl3QENjUFF5SW1SbVFWXFxXRnBXcj5ZY1ZzYmJtY15ZZk11c2FZSF5dY3NVcnE7RWh1Zjp3dl07eGZ5UkxrQj89Q2tnQkRTWDxdU2pLeWNdSTxbaVFTWUNTRWJDY25FaTpZUzxBZ2VbdHVZRk5RZj9leFplYlFpaVpXUz5JU1VVRj5peVg/WE1FRlM/aEFhSWthVlRVckptZDpVSV1BQ1lBYzw9eFRfclJ3SEJHdEVFUnF1SFtbRlZbRGBhSl5MbkRZTWBkWWRwU1tsbW5pVHRIcT9JUHRhTD9QcWRFbXhtUVtwVzs9TURATFRZd1hNTFxcaXc/RVBYSVdyRGw7ZHBoXW9UbHRARUxCaFRNdG9hVXJcXHRPZ2x1U0FPXFxpd2VkTmNwWlNPa1xcXltfPnNIQW1cXGF0Q0ZeY0hqPGFtSlZeRl9hSEhoTkdoOnBxUnlvQ2hueGFiWVZcXFtOXl94XFxXR3BYT2VWYW5UeXRVUWxeeWNxcGZtUXdsQF1xV2xtVmZxTl5bYV5PQVxcbk5mYVhcXEtPeGFIXFxHcHZcXF9iS25fXT9sXll1amhda15xYXBiSll3SD9jZVpCSFtAR3hzcGI9ZmJrPmM/SGY/X3ZoUF9oYk4/ZFJjeFxcP1JpQ0NvdXRNcXVRQ3JFeWJBZWZKZ0VZZVZOb2dcXGVoTm9jQm92amNZd1NFQmNOR3h0bUxqUkx4QEhrPHFzWlh0XURvP0lNdkRYWnh4eURuXmR0alhWPk1seUBSQkRwP0xLbU1iXFw/ZUFhdXRgbkRHX1M+ZUdZaGJWa0NhXFxRV14+R2c/T3JMWW4+WXBhQWpoV1tEYVxcSUl3YHdtPVB4XFxGYHhpWnJfcUVeeE5ZZ3lfXFxDZ2xIeHdrSFs+T25dVm1maWhxX1tJeWtfUGZEX1pbUWBrYGRGR1t0b3VecG51V25wPltrX15XWFxcPF9nO1ByVkxAZFRTTVZlZFlQRGxRbHNPTHRXaFhISFZDeGxIQXlfQEtEXWtuTE1ecHNhaUtgQGtAZXVBXFxraVVTbHlWPlxcdE1NcW5cXFdzYHI6TXZkSHdYQXdHXFxKW1xcTkc9RENIYGtiSllDXXNXWz1TaVdZV01iPnFiTENiS21GT210RG15bkdGcT1yUF9mRFVFdkd1R1F4XFxzYmZzZFJjYlFZaGxtQjo7YjprVkxDVEpjVHJJVGZjRlFDS1RFO0NGOz1jamdYUW15Rlt3Yj1IUl1CUUN1OkFVXFxVU2Q/SVJBZj91dEpVclJvYlltY3JfaUJpYz5RRUFlZHZJRVE/RWdddEhPU1hTeEpXVD5JRHhdVk5XaUxjUkJhQ1tbRmdAYEI/Xl9AXWRBXz52Ykx2YXV2YndZXFx4Z3FtUXlZcGtdaXhGQHJFX11FT1xcWl9bQ3ltcEBhWFdmY2BiTEdnTEBsWVlqQm9kdGlrXFxxYnY+bjxhWz9YYVtmXz9manNGXkA/XV4+anRuWlE+c15ecWhpeE5Xd2pIdlFJakJvZGRgaz1WY1xccW89QHBfZ3ZJQWFkZmw+SWQ8UXRQeHBXSWBCaGhhXmpecFpEVmg8X2tqRnFEVl1WP15Vbl9LcWZcXFdjVmZgbWhfc2loOmF0SHFqREdbQEFcXE1YbF5Hb0dBZE0/dVxccGJlSV5keWVIUHRMbnQ9P1tDV1xcTm5WRE8/QW1BQXBsUFZeZE5SUU1vSFJCQG4+VVU9cVVxQU9cXD1ZZ2VMQ3BRVHBVZFV0bmxyVnFqUVlQYFBRYHFQdl1QXFxFS2VJPkpGXmJKYGhjT2pDeXNMSWZ3QGhDRmlOUV1wUXFBP2dxZ3NxcW9Ld29gX11rX3dCQF5gSWFnbm1PQW14Z2BEYF5AYGFqT2w6eHZdQGtNd2NFWXlEP1trRmo8YU1BY2JvR3hFSEJfaVhDaGhxWUlFVkRNZE9TRm9hQnA7eHhJVU9lVWBvQm9jd0ZPZ2RTUz1xYlo7eUA9c0w/WFNfckxfVENDRndHRURTcD5MVkpAeVNMV2ZQVW5UcmVxd2lYV1hkUkxQb2dcXHJrUHhhXU1vaHFVaE9AZVN5cVlFXFxqXl1OaWRiV05yVHFnRWldU2hfcD9cXDxPdjpQclZ0Pm9iTHdCXWtGbj1zPHdZeUtiXmNUVU1keWNXYm9zW01STElzbm9yWXd1Tl9icV1STF9mVG9EZjtpU01GPl9yQGNic0xKal1sYkh3RFlrUmhrXVFKU2RSP3hrclxcd0ZYTkNlUERETFJkckR5bUs9TD9lUFhwVlVBTEtBTUd0U01hb3RBdltVb2xAVWxpWUlgVltYTjw9U1RbOnZpcj9mY1BnaWZeZ29aW15qSk5iVF9dRFZoPD9bW15qSkJFO2Zqc05bXFxqSnI8O0dGSUNbW2JKS0pcXEVKTmx2PkBMPD1LW0ZwOk5bbU9CTEJTO1tmRml2ZGd1WF9oS1tKXkhrRnVTVEFKPD1Tb215SVRvS0V4ZT1TXXB2Zj1KOjxKOmBuXFx0TlxcdFRbPFA7OzY6XCJce1x9LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlU2BGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhZSVGKi0lKUNISUxEUkVORzYiJSFHOfte kan man angive en forskrift for en funktion, hvormed menes en metode til at beregne y, n\303\245r man har x. Et eksempel er forskriften 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. Man kan man s\303\246tte en x-v\303\246rdi ind og bestemme den y-v\303\246rdi, man f\303\245r. Lad os for eksempel s\303\246tte 5 ind: 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. S\303\245 funktionsv\303\246rdien i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjVGJ0Y5Rjk= er alts\303\245 17. Man kan ogs\303\245 sige, at y-v\303\246rdien er 17! N\303\245r man skal definere en funktionsforskrift i Maple, s\303\245 er der flere m\303\245der at g\303\270re det p\303\245. Den m\303\245ske mest oplagte er at skifte til Math mode og skrive f\303\270lgende, hvor der benyttes et kolon lig med. Vi starter dog i dette tilf\303\246lde med en restart, som vil nulstille Maple. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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(); # input placeholderBem\303\246rk, at du efter at have trykket p\303\245 Enter i linjen 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 f\303\245r en dialogboks frem, hvor du skal angive hvad du mener med kommandoen - der er nemlig to muligheder for, hvordan det skal forst\303\245s. Det er den \303\270verste vi skal bruge, s\303\245 du kan uden videre trykke p\303\245 OK eller bruge Enter. MFNWtKUb<ob<R=MDLCdNNZmj:LJ>D:;bNIgBuZZRLCTJcDXoHuuU<;F?EXoyUOYHE;ssWCEIVJmgw[R\\GclEGrUCD_EsaFCQFXEDF]D>Yd?Aey]RGyf[KdvmEZOfZ;W\\;Ei[bR[SB;c<OSN=RHcH<?cuWCBkekuDPWRZuXaMieyUQuXQuUmcIuWhuWhjqYu[CwcuOitOetOuwQuwOYgd[i`esTgiuuxhIvbsGisYoEuU;c=SVF_DrkY:KwY[roYdJ_ByCZ:p^GH^aq[dAt[XbQp_WOuoXgQqnGWmbf^^xyxyxyhlOhlmymyGe=avQypIGq\\QxEi`GVq_Y^CNlShpQppCq_q>ljioMoiV`kGhdLvhYOrGNmpPyBPkn^sMFkrQxNwZyn`pvs?`iPOlq?jIpoH>eDHuc?jFYvtIivnciOxTFoP>vJxtkHeWia<y^<HsrH\\Qf_rytDpnLWbAikVnpZGuUF`=fqjQrEX``_af?\\vNv\\XxI?a[ajr_aHAmcwuxhiIpaxvvxyaVyat_sRYbo>wuXbB@f\\gfVAd?NZ[w^GNf^^\\yn_[Gbva^C?jFO^b^krN[tOq=OmK@fSxvUFbBF]A_mnV^Mq^nXcsi^yHpB^vtyuxPn>gjkFxEO^kaaQ@_A_rifm>ImtOvQ@iio^COtlg^cH`GFoOfcKneTPnBgwiOrIYa;`q;QbeIlrFpjpoOV`_nkMvt;hwdQ]mOwIprxfyf^wuG]AXcL?lfxr;wcqI[CX\\^I[aXyLxgD?hg?]?`jGvgQX`kXxeg\\_nlw>fE?mRGs`hxWqcvvadAuLF]@pqyWwPXruxaI@fsgd]y]TVc>xb`H[C_r?Wql_eUp]anxu`by^mX^`eAmxWwv>q[v_k`leaZo`wPYjRNiO_]gIa<xjyawDQnkxdvPxlYcMwnXIi_Au\\N]`NeXoex@v?hby?qyqyKxaWVeSg^mAkOxZA_`fQgpI\\fHaBIsi`vCx[?Ym?>cLfudq`UgnXQpFOrBNtj?pdnrkXp@PtuGh\\gZC@uoHe`hs\\GhfNgE`nZF\\D?hKVaCH[Po]^`a?@ugImrh`hNnjgloWk;hfQFj>HwE^Ze_q^^c]O^oWv^N\\tq_X?ihFt@GkCYoeO\\X^stqd?Qf]@]sfr=WjrOjrO`OPdFI[hioE_s[`jHvomokQ?nngtC?achcfq^\\aonIZlgcgwedwhMQc=XbVVaOxZ\\aqQiiCGoCG[hFuCYh`o\\afs]xkfN^[`cg^b_>h\\V[Vgiu@ecpx`YwJFmoXc=aaLi[^_ro_\\IHw`F[S^kK>uk@_AOy]NfCO\\eaitagbnjmAmRHcO^p>?k`OdQVca_uJHxNAwnYjyOdngZGAv=x[GAnTXdnYxIyaIQkdwaeNfn`jOpy<nhPaa=V^V^nTojKii<W[eNlL`fminYN\\`Hq\\OjB?y>X\\YQa_FaUOdKFhbxcVPh^@rN``_oys_fhPnXX\\QF[sOle?mi>kRx^CO_V`jwfpaFpkfpXgx^vdJVkT_t=@`<Xag_j^Q\\ugcW^jNQeK^duIfxNfUGaCOgEyc^FnvAhcVedvaKv]pQ[;ychNkE?iCIl`A\\^avUhm>vprXZMv\\gWu^ajBHuUxrhOhlykSAkM@ivneMW\\kFkApym^^?GpAqbrpZ]HmT>k;@kPPiWApLYkw?gCV[pNdnh^PyvN`__?_aYvkOmTgxpywe?tIy_uPv[yjYnnf`\\Wwphgu^I_yHyxnj_`^?qyva\\[QfJQtr?PiYLMHrAv>_s_QhheFCcwDeRDeip]wqUCH]XuwWq]svCgSQeqgUvmdd_VdUwLQYAgSgEcb[S]QFFUbe_r\\LjOlPmtST\\q`EV^YVVYSCaMQAxV`R<hONmLGAk]MrOYRQUTnEXLxlLQLeyPC@QipKLaq[dlUpjZiP_TJxDwqYnS\\lReYNmR>LllYlE@M<@ycDjL`vIeU>awjLYCERnTOV<ovDyjuKkYKY`UWPxC\\WPMLfmXodQnYnJXld=tm=oG]TX<wtdN`dq@=my`nctsnUMjHWC]uZloTdXbpM>ySaMPNTuWhRH]waDPiPx=LmHMmTutgyj\\=YDalUyVylP]LYrljDPkhTum]RRimBPsCmM_ISKHo>@ydhMdHrDEVNtmtLRL`qgLvj`JM`jvQVUYqj=M]HRBDrD]YtmkX@QOqQTHWVlpGprRENc\\wj<kZUqkQOG`sd@XPdsbmVGdTgtkRQQ]=sRiKLpNUiUWyrM@SguWF=QNPv\\TMQtNs@kdTVgMYbpT]mSoaLgMsl<OB`U=<ycDklXWkYTlTuZDxjDUrUyX=ndeR^ujLTySAPMtu_iva`JD\\mOik^DnCIsWIwaIYmxM[MlM@Lj\\jr=KLPSvMoB`r]MYoelZYmbtwyPWpAWM@vaLVRxQGtq`AyVqtipuXiqQQysmYqpxQuxcQmnQlOMkDtN[Uke`SemmchRKySvlRMUwt]XGpk@qUxev=uKIAkl`tA]OdLr<qLP\\nvDV?UuNtoQ@NL<ue<rRyRrIv>PpL`JvPRFXLB`PmXL^YvdEjeEuNDpUayUlsdMnLQO@QmtlUChMwYQAdkdhmrLVdqT\\@OVmjCMUVQXJHSdMTVuSAqVZAtV`jLqw]AlxlSlqk[DKElJlMQX@ydaSXerE<lPTL_MLMhmAxm>AYgMXxMKaMv]LogLQnhYITQgYxhIrVAJElUJAvMxQyDVu]qa<O;\\q=uSLDmhTJ@AofTmXxweYpNPOQpv^xr\\ExReSGIn=Qm_uXKajh]RflY\\lnxaj_HoIiKDiQExLHipxmLGhmBEU^QsvauQLsdlTyeYJiXcQkXdwVPQMpvJYlfyKq<wS<ut`RMISMUwwMYP]rfyl]]vJAlfpQxdyPAq=xj`mMEyk@uqk@QH@VVDVAaw]YJsEJSxM;DyMUXx=PLuY\\umIpjotwWmmmLP[MmyIYIyrkAKK`p>DttlQ`hJI]QETus@LKEs@IsE<lrPSOmuhasohM=HYCmNBaycLu@hVwYpuiYRIsCMk=xMkYpKTUiduO<QFhYS@n:@M=]uUPld`VOMNeg\\dIsTIorFkRYkJ^hnFhUOmlQl^i^Lvhy?_?Pc_yhixiZwhBObNVd\\F[HSvUvQuwqYiN[VJ_hCeBe[eAMdnYrB=cLWFHSctCXS?Xfewd;fqCSFcuJiXdCxomfK?hISIHgrF?esYTIGEDyb@gHvsemucieRcsrDWdLED_[faYSyWxLQDGCgXAs]UT]sdIcHVEWZIg\\GvcMW=OG@obVOcK_VHSSFOG<ITLcHpaUlsYdMCCIIx;usIxESbvGr<]YJWFTusoaDZSgQgXaWek_Y<Ws]Cs_KEMEd>cGcgb@gSUYen]sJ]ud]U_ac>=SxKwC_DTMtFqiRkTTGbTmW;]eN_UIMFcGcI[Tyae^QFasGwaF`yFoaS]CT:CgoitTUxbMDPgSYmt^Wex=ExMFcsT:OY\\yFa?RI]rImiOod>cU\\kyC_CF[E<aG;]t<oHGkS>IgtQUcIFBaYcqd[oRvQHFKy[]IKstC]ewUEt]UQYv>Ot:syRkv;wwIExs_iumxsgeUMiBIwYyuVKXMQTaqdn[V<?uFsrk]ew]wNEw\\CgC=eCqERMh_=fl;D<_w;]DmObLSg<=GliGZYRVwEYqwc=vAyyXueTUcKWwH]ww]XjybJsyNWsvQiMGRfSrcGWw?H^We<CHBgyVUrhmsHOBMwhJsXVOFSqCwidZ]vl?eT]d`_cNeFcIgKsC;gfZsGderp[fp_e^YSHMxakXYMXkYTd_vNuElciX?scocqqfGeWLMyiihJEfTScY?SBkY\\[FJicByyL=RDaY>_ebITL_v?EvZCI?_eFIgumVF]rsQIdIf=?YsusVsGsCibEWfusVOyeICcmG[qcOSVhkxnOVfaeSgbEyuuggo]x?QTUueG;tS?heaS?QueQIqgyOQilUyggWymgSudpEUWMuwQwwQx:efdCyjebdOUa[t=aIKuBbiX;KgXKCleyjEUhGHh?UqCv>_eequisTTch?]ThSeUOtUKRv?gCGI^_bkgIVofbwTHOh:QwCuudASv=ICsBUqi=cCqEGtQbQIDhkikOTVoDUoU]?WHeSWqfQkyWUD\\SycEw\\yFLuevaD@AiAMBnIFLKhjGSbsRSMvBiesaEM_eJgIfqSvgdGGG\\Ki[OURaD_kbceG^[xa]WqoHaqXdERC=wJWDnassceT]UPigGCS[kHUUclWL[psNdRxURmmwCaJ>`WymOt<w@dnBloxUYUaumMXW`MJ@oJIpamqgPNPDOKemoUtilUWqyaYPulJE=OqeNtqwwYmH=qnIQA=mkXsy`Yn=XatK]pjChswYKu`Sx`rEAvxImo]kUPUoEUHtVTYvd`RH=p_llmlKKuJNEuJDNqQJ:qKQmK\\`KSPoXuKHtv\\tuQ=LTILV`t;PWLqOsaTi=KiXSXXkCLtiqmQulsARGLvotvtMVlyrOys>ho>YphEYIpLuUuOlKMdoIar`@rcLq[dy]LjVXsWUtU`YWIM<pO[alDTUkUn:INXqnOtkSup_Av?Dp>g^jgt;hyAoxN_wYIq=Hi=>sKVg]NjSxq=_ZKF`Xhm_o[x`^WWZ\\y^BfrHXsTvxEI_mqvvIdVHmjFwHIbAitvaZWNavXgIOjo>^>h`cn_vfrSxaXVhv?tSIp`?mX^vgncbqeo?hyO\\`Oc>PxqwgeIhhYkNPkHF`dNf_>dxqwgvxJ^k=gdive^q[tOyuXZpyswWuYhbQgqSxukfh[yxrqliwiK?m>Oq_n\\WpmsYr>Y^EitsqbxF\\^^\\tIqaoswQpLVumgxNwnYFiF?lwNZ_AhVgp`_ps@s@V\\AIiQAgMgoWpwlNkM`e^avpFxcVs<GyHiglQlSgw_OithnsgeBW_]^mBYjYPlVPhLIpD`brw\\mA`valbairhf]^eGA`jOrMXghf[CfcHoqEnbDvwkwsGQlSphSas>G[cNokxg;acK_s>payv_WYxLV^Xawr_\\CikcncnGxiy[VFuuic<xx_Xm^abSH_hW`MnkU^w:Qf`ppavmTgpy^ZmFfaIlfFylyhhgnn``aYtlYgDf`EyfxXvSYpX`dgYcpQuiG_rQguo^cFfyi^W^iNw]V`bNNfqhmEfZFQroyg@ngdHcf_caFfTPpjFcCYZ<hfyX[uPuIFdWHnGQboWw:oqPQgfIcCg]WFr=WdGWrRioVqo^QsUnhg>]K^ppGdW@u\\HcGwqg?]\\hcja\\yH]cps:ixsPk>OdxO[mFyCI`giarGuBvyvFfAawQ`ZTV]\\npNfrCN[SIuGQpNq^MX^WNgM@`KH`uH]kpZf_sO>_Sh]@OuvIkoPb>ObvYosI[UN^sxkHAyW_uV@i>wkiWmlYiNf^]Voy`bCvZ<^]xOZFilVVx?>^jh`kH_Nh`i>[Uyeuvw?_xnQqkw^[FwjN\\nPq\\vadVi`XtcwtShZlnwYXaGWwVGwvqcaxqmykIvowGvnYxY_bQaymwrYxsVypZXdYyiyYfAyM;tuuhoQfaCGh;wmaI<uTwcxBkixMHsUWeaemWXGEfQEhpQyxSrHQUm=VvmEkIfksxUcGyuWlmy?sGxki_yiy?GZirNmsFoY@QggShIqReqFVOXCAvqQSEkVO[UrQdB[Y_SIYWsE=h\\eu>WTiCEvqw@[YHAbC[BGiYqOXVuGPKf^EVuyEOSDS;yysSVgVT;HSIycKHwsirYuauSWGrlMUxoyPWDymxv_CkAttQgEYxKCGumhUArqmDymxnIEWcbieCd?YyQyYsUl?rFmwMuwhyipsSRIxDyugksuswFwCxgwoSfEGW__ymQw=sifivoiT?Ibh_RcCXLCx_SXLGR>_TuSeXUFHyhGADOsfKIsCYgSAy>kxmceq;BycBHAXDeeY_YagI[MvM]rXmRneGG]R<GsCCUEwe[sbGuCcSBHMbV_YQaHB]UX?IkcG_eXVGxZiUtWX_oBtmVDiEqYt=?FlMSEKDmStaUE`CDnsvfay:gT`aeDqtqUwXkYqyeYwrcSEKQFdSyemtZoeaugwqyTaYseX;ySHuIuew;Au]MtxuVXYukagAuC@qWsmgSAnxHqoIS@MLOTWXiR=qmcTywIUsPtrxTlqJOXvI]uKxMLMMp]QeqwQqrw@YCYJeqO[]WKEppqoEumupvOQTXTPu`Qkao<LymPyKlLsEsEEQapm<pTgmv^arkDxfImepPQmTaQsdLscEwkxkypqt@llpsuyPY@y]Ym>DQkMUt]w]yOiPV@`rDhXElp]TlP@sdxKqQPpQr_usx`RvhQa\\pwIy`yvWaQqyuuqmDYLq`uNixfqXBHlMHmqPvxhU`]WNyqXhsMxthavmqNO\\YrTyVpK;qUw\\N:YWvpyFtXG\\SEmqtTleeu_uWEmxQapHpL^HRYQW:iL<TlhXrLPoCxOvQOAEvoyn>YOUdNTmtBywv@Nbtt\\iL`xVWlpVxwwPsMlKqquwXnJmvrlPKeY@`TIlU^EM<AXbxpmyo`iUq\\RulQrynYQUn`XAyWyaRyMk]MY:uYLYQAmTyeLlhJUXO]AmE=PKtsLqtH]NNyvDYsQQLneRX=SQArHuVxDynhv<AlyEsUyTZXwQylTylitUkLNy\\RfDq=pwr]LyTy<EwqMxqEwTIs^Qmy]UL<PR`XmIOWXuoTPyttCtVy`u;uhoQwaw_wgo>FlLhl=y\\FhexfyFff>Vg`qZ[xuJydL?apgyv^y<AlqNcgQskVfl`d[@aE`yrDmuu[]h>aGRWByyxGIhi[CSEUD?sqeDiYDnAtSKHCEiamc]IDPmwvEBGGid?HQ=U:WxxEHp?rw;s;MSQ[eyUxikyPMHhwdnYCdAIjIcImVZYwaegsygWeTauYtEY;?tyuSTKxTihbIyLgy[GIc[ceaUWyV`cHP_cQufYQFIwIXwwvsFiiUCeFxUTSoYUoBhgW:aw>OgsCguEeA_XksFxStFOdrswsyeqAi[iBtwvskT:YXu[BdghKiV;wF^[hsierwRt[w_AYRQV;Keoot;_e=ysQ?DjoIRgC=EcIkFvYfhKFjygPsFJMUtYtwyXbqFbsCG;te;wqgX@oU_GVb=SIQB>KEYgucGgIWhPqTJmFAOWCgiiKfoWDJKwI[ghiFLMxFmwcuilOsfaSuWxkkwdQrHAuk?bsgy<_dCmgnyyXYBaUvUqyTMyywVomf^CTpoY<Cidis<oSlMydOVhMv;weravyoIX;DWwsfkYTsxu=hreumwGXEy`yF=WIcCGXwHj?Tkmxc[EvSD]ghOcvQmDDscxCYOwbbCurUC;ucIksq_xbqSWss^EbekGi;wrmB@UT@kGR;UskIIqgNewumUCoWYCIoQXcEuMMh_myQEhaiI<?gh;Wiuv>?X[uyAIxNwvDuwT[ussdA[ekmR[gTtEiWks@AwWOciqYSYh]kS>YF^[WmkStMCAGe\\We;;T@UvVWY_EyS?y<ygqQubKGHegO;fFsx@?xakYeucl?DtYTDkFx?HtYdmeY]OuusRrIEqayQWILMT@MDdsSrCePGgH;IcgBhoCrCsmMU>UsDOf]Qh^yGHaDPAxAoVGcISYSaUyfYfjGBaqSYoXuGVHKBGeiaIv;;gl]fpwB[?siuwt=dXMDaIw;cinKh?qEiGDGmw`[VBirJ?h_oBkubBCyMofMUcNQcSOIp]E>GtgWuesVWguCEUyCdrOG`CdiavmwvUuxsgdFWUtWdS[xJEyuuhnaIICDOiEYEiOwek;yfuBEudoogaiCvMCIMY`_xqyVo=wRMhxqRlEylQbH[brmbL=Ck]u^aRxiHiqIkeqhMq`itlXpu<LsxlNXwclXoen?hVJtybqWxdxrYmWDLYmr<aLVmpaYVLIvAuv`aSNTvCUVmIwGeM@\\QpXyOLtgyVadyOpmVTpnuxFHRW`o\\QLmmWeTsXhRQmUMqThElAyjhDKpXs@ASjpUrDXbiy^dyV>kV@c@H\\Lxt`xvTglSIgbAjw^mTNfSXxNwmLnt?x_OW\\Y?iuqEIYi;WjIsUewveI][dKEH\\Ex:WHHuIlMCj_wS]v>_dgOH_wH>OdvcSEOvfoDKqdgggOMxbcC?=EyCt:qbRUT@wBE]VqeEJSIBEGAQIy;FeAvBagiIDdEILcYIOVKut_[dOQtQqDa=Un_rvyEn?c[SybITmUGYKeHMeTQucaSscihoRbMtueV]qSDyxWIy<EyOEh`IbUEsMYwHcUUwUqqdY=HbIDveuEcfMysVyrFEYioDnMRc_G<ergAdiistGcXuYpQtyiEyGupUUjIHQmiI=tSTJWitiTUpirFIRWdqwtOdhWGhuMePPPonusYtXxArP<wwYN]Em_Pp]AjSuRpus<UYPiSvdY^uPn`XqYrfqUahSI@oPQVueYAdXr=kOiQ]\\r>TyNtXtPKIePrHTgpX[DscDjrxSt`veUTSDnc=MHaXBiu@`Yl=KxHxf]UNpPwIoPTjI=s=EQxQsMhvSDNqHX;=Us]NkaoMmwYps>XqjDqWhYN@Ycpr^hpdEufTQUdr]ax>]lULtrqyp`RrTkMmSDPXP`kliM?dYWtridRkYSKenmaUeUwLyyRxljXxLLPWmr]`sS]U]yuR]WC@LaiyjEn@prsTV[@WNpnMpnppT]aSbXtStpyiJ]xUwLyXyXCeJVqqgYKJitsIu`Yue@Oumv?ukDxLT]QPlKrMJy`xQQloUw`<lalYmmRAaLcEKwuxxiqQ\\qnAyPxWEqut`ysYKyApp`Us`xXeRshM?EYSQjQ@todQmhyMAtymLxEysPlDdpxQqsEm^iUoIt=AMwxUXmoldXAXPyAxqXOKQnWdlh`lpQMraNxEXxqxDdXGLpIqPXQR@aUW=leeO:DroAS]<XE=yNlrMPwl<mNHsjqK]DkcUscQULuSWqtwHr@=WHhm?ItwhVUPt<]Y[uJMUlGxQ_<UvLNkQsKlw`llreOx\\ofTmF=lq]sEYqh`jIMjVel>TyRxof`w^upeeWVtt`AqVqOGQu_uVkxSu@WUpXSeoUiPeUuhHUptynhWQdWQqlyMp]HuSILyxkP<Xx\\sAprCQV`ykJuMTht@xn>pMnXs`HW]HOnlkeUmMqoo=TG<tvirYhxm@vTySYAqpirEPQaqQuImWenxXYqqlUluc@X@]lWxPHdQqmyDPTXMm_ywWyXKaY;yR>EmKXlnpTSEJlqjwhX?YxQlyIiS^mvShjxhqtaJ\\iRrYvgDq^@ln]Qeqva<x<IvEqpUaqrawbQjsYu?YUitYiqy[YKJaoulsB<TSPYW]qd]wETRhyn>qNe@SCQrUmu]EqhtUmUymiNLPNDutwQmZHjWTQLYoitulqmj<qLPkLiji<nkdql]w_<Nrasl\\lq\\YKilyeOtDksQxkQmniutYUHeqwQkOUTIaw^po\\\\sv]ySHjKApY]jlPJYMvCxR>yWNLo[mlsXW>MnlppCAxXxTSAKPYYg=SxHSo@OBeobLo[IyCeQY@r]Mr[pksxm_uQM]OIdmBqYhINattFTUQESH<Mrvb_VulwirYnPgmy?t<Pl>Wopf_TwpcouphcmptgGwaNuthcPWwp^l[NmoHgUfnYptgXmopgWhvqIk@^mIQvq``E>qkH]yHl@as]ygAqmOQmyNqGWeTpjP^yafcOfcUowIvivIvawmLatPqsTxro>j;yicvusgwghaIosW`fY`q\\ixiOarF_aXrZyaiXilGrSxn?og]wv@iymYrqHtcyv]vr`fcRfjRaaWojbAejgrOAw?yvXP]R?ljqjUxccQnHXZWgx`qv\\iwyNq^GrRivYO`xH^bvwdhsmvgxfvfY]my`IqaUxjRXyHQivocpWhkalkXsx`yTX]eayQghFiaeorawgHGacaZeWffxjPydC`eMXex_h\\i_lav=PrNxbIqqr^xny\\^Is\\hnux]tVp]Fdu^df?^cvpyYfAouvVp_iZW^soO\\YVuvXmupmUqk^`rKOodwb;@nZfcd>f:IohW`M@h@V\\OOtw^mJ?rLhbAWoq^bM_`KoZTVfMG`ki^G^]@qqaYwVo]x?xCyhtWltxiZFdpIemf_iok;v_fWm@VZfVihVp[vhjYhG>aKYjwitbQkcY`DxbVxewNinI]ao[xnq?W`Nvo[o^uFrxO]D@g@@i^OtoGkLX]TWloG^FV`cPaKajO>ctxmAWmO_dOaoXWq`GyLh^Ip_Ygijp^ZWcxXly_tiyaY^gvqwjXhAoZIIZKX_Q^jOHiP@noWo\\Gf?IrywuyHx>xyS^rWwwBO_UAoAVqWodfXqxybQ`[xwr[Ada@qfA\\iouvatBOvnItnqlBOj?qxVohl_ofytbauS?lQ_bGacWnpaWdmIZIGqtXaKXdch[UigNF\\\\YgN>hOi`AQuMF_iakXH`]`_>@ouqZRnlufk__kMgwlOw;?cWfr]^`wfr?hveOooh`lfteH[DV^kafR^wR_wr>nK@qXfmtOcjn[R?h_>ad`^_HlD@vFf^aWlWQvDVjWXunWai_^h@]VYym>f>`irFdcN\\AwmW@qM`vgN]aQy=@]cnybpny_bN`rT_bnyqWI`kYvyaijyu=xjridMijVW\\XnsThqQx[Ixb=oqVgoV`xm^srp^DGkjnj_xhTYyn>p`G_Foa\\Yk@>wVqnOyky_uq@w[Iio^^d?vfv\\ey]YqZYptqxiNi_PisgfqOIgCqxDqgXhafPbJXlApZvybJ_mUYoQ`_aW`^wwg>^;YeOViEfkJ@bPQp^ppUYbj>jA?kiftBgaVxjPhiPvjZPhBp_YhbH@plbMogsMslUUR=IUMCQ]YmCeR?F?WY^qFqqSMAg\\]xMMTcyTlaU;grXQXD=VEKXNyIaQGXecGETViT>mdE?uFGeikX<gGW?sDsvu_I>MToGshatMsY_eDUYegofg?GL]TU_tW[vB=hXWsd_e`qSy=XaksV]SectQcGPSeksByatAytlos^OiQoWTixastDID`Ah`Wswktw?WXghfUboss?QHWCV\\yunawwMrOOxakG@OhWsy^uEESiTAI[CXgScxmrwCxfKxjWfIEyNYREkCYcv;QE^wrwge^EgdoRwEICCUEmVRUcAOeach>YHqeuDuhl;BZowPuSvyx?sdSUFYiiyAsoavkySHAw>WBmYwukHbyTvkShcrhsVsKvZaYV?Vo]T_eDt]WGisjUEQ[twavkwECUCaITXMe>ewWCXHOdE]cJCi>qEiYbbkyb_u:aGuYF<weBWcpcUomebgVG]WetNoMl:qY=XncQmEiX[el\\PMK`mNlXKPMLHVrdwsqpXqUQTmXhNgEKlyuB]La@o^]NWXJNlkV`mV`Nqek]DJTEKePT@hwMLwfQVLLvgInEhKR]yQTmEmlXTrj\\umPsNftT_tS`^X_icNqRxj^y^F_qHYiFIgPaw<O\\iWeM_tMGqLhm`ofVGpPYexAqPqkopvlPmRacRhpt_kvxtKw]FijZhcI_h[pmRhqUOnUvbBnaLVvuFwJgfC_bfV\\\\q`HOf>XrmF[hXasFoop[un^cA\\AWk`ou`IdQwiXqlnpZk_ovv_YYlWYyCOmLOvhHpRG`^@ufvwd@uUymioihis>fesqtAydQ>sC@cCagdng;HjwFrfOd[Ylb`elQekQ^?Qk\\GcNGvG_gOfdkF^EV]aFrRyrwhtuYrXH[[o_OnkGQq_grZvpSO`VVa:>\\Egd=awo@\\\\`oAXwWx`hp^QacmHfCWbEGkqvwa^Zcxi;ohvvjYYmJv_RvjRGi`pqrGshF]sqeGFfKYldAonpgKViChcLWkkh^\\a\\wQwxfgdosMOlZihYNdlWhLPgh`luHntqqs^r?^l\\OtngqmGlGnqsVplHt<?_@sxyf\\eH?qgg[GFEFgImYlXhpWtaTbtUxMSn<y^exKiwhLoo]nFyyjxL[IVEyORLoo<ThMSeep`EOw\\OpHTqUkmdsclpkdJ[uXcHVm`mGLVylmdmK>ArdQN_am?aKOAkZTNMTWTDlj`v^qOWAV=@pyEsu\\l;TtByVZttfLTxPP>pR>xJ>DTw\\xOIJxdpPQKhPTStLAXvaLvV\\n;mjoTQQIqUhqflvXtTVDy\\QKsQNouj_tLAdkF@qg\\kPHvEIn\\HlVXP`qwd@V<uQHQS>AXIhyjqo_lrhUmjPpadocDyFLnhTR[pWdujCHuqIxjMlo<M:=lSEN^pnD]oWQUgiRh`theoSAQFdlA@kwpkiXqaaoDEO<UqJ]jiLPfLQxQmViNXIu>AKkxpoiXmTqg=TZhQjdSRUooDxMeuQMok<kCQu@@uj\\Xkxrnhu;@R>Ut\\LpqHnBaJNPw\\MYHPW:]WlMpPDmKhQOAxG\\MOqSbTqG]spDrRUqhTXhmPBXs^<N@yL>YsMhmbtrWmtEIqgxlP=J:<L:`N\\@Ndtllat:qJITstYulxrN`uKquCUSlxN^ESMTpj]OoUu=YXcDxneykYliQOcQppANfAw<<pQmWQHnOYVo@o?pl[DV_ASyasGtTkhpump[MkyTrdejRaUPLrTeTBxS:LPGmyRisWpPYLs;aMSaTGDpnDLUxp^HSetl_UMJew_lTYeO?QqePmJdYFxJdHKw<Ua@lcmPFLvVTL@]Yl<P[PyLDPomN^=LOEV\\LKO<UPhToUL[\\oVuxhlocpNQIRDPs:`PiMRpujWqTBEUTaPMivQmqitxxTQ>YpSI`\\yggoe^pkoWmOwjQvZyqhTyunFar>osprChod^fjGxHadhVbQh_XhZ_g`IFecg[NylfpkKFxF>iDq[xnrPHjXVuwYcEWnmpxHV`u@\\`heKYpAo_QvcV?dmxivAdlF``YwSGgl?tXqhK>\\q@mHFoHpe\\hq\\`k@Ij]^qCIfXwwCpjOfxeFmmv]cXmC@ruNh`g[kPpFOwt_ahXsx`^ug^nic?IqvgtJnrdxsA`\\fnfyy\\uQe=hudvp]gkJFqon[lvdaVfEwkcaoROtaOqqyeFg]KflLhl;ofcAZ\\?m=fsDQtd^mS``kqx\\NjYHpToh\\_cTVeTh\\eGZKNrP`[:Opo>f_he_Ncg`aJPx@Ald?jlpg[pfgfl`nbfYt\\h`aPf\\YoWvaKFf>YvPQ[^Av\\F`Vxsm^gRnt`y\\>XwW`mR@c^NrN@Zx@cVHavN^eYo[OtCFpXi`phnXfoK_qlGpdhvYpgkq]GV`DVbQXmAVpaGm@TD]D[Ut]yvRISGSgT?e_AERkiY=VTeFvkTdcTaEXhgW[Muq]CuWcicrMgsHMhV;uteRGAwCAGKWEq=ex[cRGgL]rl?bJCimMf_wyeKY<kd<YDuwx<MXriERiirKFuuw`UEQCclSYRMS=MrL]DliIWEuTAbp_U`[rAAThAgAOsnmWqucQ=wJ[dS]ryQXRaUvGRKeC\\kxhQERQHyIXPMRlqFWgwL[WdWrNCDGUXNIGf_c]iFTSiaiTTQHdIU=aU\\ws>_R?KHAuuSEDeMe_]rMSFyarLMtVgecUbQUTxQsoUbwIEvEB@mD<UVnODC_RnCUSCcVwF_WSHSTCGCUey@CtYgHieHjcy`Cdb_dOMElmw`yvukyK;sF=uOQF<uwvWWUecB?s[]elQD?_E[ArlUtjkFU;cJyDJGGB[DmMHiyBU[B?SycIDegFCEc\\ccLQfC?Wv_VrQii;ejQw^SYtGgewY;EipcYdaYoIV=EV_Ctw?HrYup;cw;C;Iy?girkxTAYtcCK_YEOsFUSiswr=W@SGe?CGKfkwI^GU@?RL?sYUs`_ScsfGStj?fcmV]ovKKexIVRCUwMU?ouVYudAyS]rC=xRqB@qGa?IQUujqCH;iw_hguIhUtFqWDUEEOBfeC?awoYefSFEeUNCYnKSE_UR]f\\KEqoclUGcCvUCfmiyM_bbmHOaUhkRfcvPgTUEukYtJ_UJglOpR>qx@mjsqM?UWq\\j?qlO`p@HwclUiin?@jOhk;`olul@`JGDmliRcxphhy\\@kUeuKTffP][GwVAuT_uIIepPkk^ecicdQxIQlvNnE`r^a]A_dVYCUgCKdksBais?gH^?x\\Qc@GSsof<QWTobfCWeqxuADcMdoaT[GFcgYRgcWQIZaBYCVgWexoTSawoShuKVI?SUiER]vukhIixRKVcChpoibKC<OskKUk;dwGCWSs@SdQQe`WWhSg<sWvOIE=hO]dlUDgcSfCuUsfccVwUxB]RjMgmEYAuv<YcpYiAQFuqI\\=slCYZmSBQEYsw]wioUrTgI[[S@qVxaU]mVfwx@et?kTyII]crcMbSIHekU`;fn?GEIg^iU=QYukTqirnkxCsKlxLHYsaLo?EK_mnBtwIAPu<Ppdy[]UlirklX_IXf@xOpQRyXUYYYHwmPwM`ngeTLuoXTkOAmveokqqQTo^ITNDrTpSBlTFAXHdvUIUQ`ixVuRO^GhfRQpfY]VW\\[xvFGo<QitpoSaq>FqwH]kxgpfoKagIgjjO_IO`ONv_He@_aKQjrgx`ayF_nIP^[OuIflLpZ\\yoF_xc_[Pau?_\\Bx`BFtmIfWw[PqZ\\N]GFriQkRObGI`gGuMx_\\Pw]plhp_hNwtv\\CAuJavYX^t^wp^i]wvR`\\liPqYXQIpGc?myK[f[uw:Mguows=UP]xJEh=YV;?gFWGFyCPSECmW\\_gZ=SXMvP_VGoD<swwgRGiVpGd@yUNsWQoVmaviAdXCXC_W;gTeKVjcv;gXt=c_ivgucR;D?EyLKVGuDiKdomr\\Kejor@MFF_ejsuieE]eVUICSIxOktWeSpqCCGWgKrRQh>AgxiEhcbWqE[iHo;HcsHn[SBkhucepARVguJ_C;us\\gtT[UbSFKGD`sVnCswITKsifiWLac[[WZ]VGsBkohiSxiSGUOflCX@mvVoGAeSWUCKWFMEX]QDWEwxMxcyTtoWt]TCEyAQCPGS:mWXgFKcUNGhs[eaecDEU`OBEeC]ktlWtLAY==h[AEjKhgMU`ehZMrTATV[HokRD]iYEgSMsi?te[VSIhdcrumvnkcRoWdgs\\WeCYY^_gxCHKwwXKCmSt[GVMAi;if=kdv]SFue`]WSGSGUiXoGCqUXOtFuhBEUCaVoEXracCUIcGFbCSLAgHyIvecfKsDEDwKEGOFEivWgiZmuT=iRUR`QGBQfmeR>gt;wwxESeIIeGwK?gbYSj_ueacZerZUc`MuUeTOaUWKSnUuX=HpexmeDxeF;STYaWcWfnubCsW[aHEGH=WXjsH_IhHYfhWC[SW>MFKCVDOTG?V<Qx\\osjMHUwElusOUd[iWU?i_IT<uuwoWoUXkgf;uBEeTQwV]OvgOVdEhXKULOrPqTEebnUF>atXiDmme?aSPgHGGTE]F<=cg[IrUYMiVySSBcHhWie]iHSH??EKQR]agH]RKIg>MvSCxoEyMYGl[uXCrlcR>GVIUgkwFNAifqVpaGYsVSEG\\?tAGejGuGmhGOd`AYiGyt_dhwBkMtLOtiivOOeC=RGUrHGxVCFviXSyrQuVDIsxUiOwUhEhD?x_[h?GEOaEOiv<UUnUcsUf^eY@URBmDewtb[CMKrXmsnKXkui[SSFeGgCtQydtQTVWCcSbg]f>QX:yuTcYS_wgKEVeSMmBA;hVwu^=xWwG>QhpMFlUrs[CgUIkUgOsUtQCbkeqKxoGs;OBp;SCgW@uT@=XFUTm_FrmG@GUEiv]]rl;Bm;u?evM_vyahb_HEmrb=ufYYmCU_[swKvIwx;aSKSGn]BumvPGIvkWPAHfmh\\kt>?YSIGPGX^UU\\[R\\gfW_DMybjorKCRKkuWkvW;BGCG]Yif;iH]CUqteMuwIUqCBEUCi?xL_D=SSpUf_KibIhjyIWAhomFhoYMQG[WTw?bPuC?yWG?SgScWASrebDgrbeCj[rtQxvoD[mXacDtaxPeCsohWwD`MYfGe];UVag^mhOpM\\IR>qpHIStQtFqnSDt^qXUMmSeWfIrQUppHu`ATSyX`yoV=tLHrc@QHUJMmT\\`J]XXkikghuJHYSYshXKitRSqKJhWElnaaK]LomDOi]RlPpJPppyKiQKZUXZUulDTRitJIwZPVsAYTqvZernQoj]j\\aniUtLlrpyls<OZMLkHruhKntKtLLxhVn`vFdkpAXnUrnHWRXVemKhLTWxP?qKJqkGXpWmqsmnDQj>TkemT==LvaLqTU;hPGHToumMuRGEl=XqgIQ<qMQPQGIQrIsl]MQXU^arGUQBhWuxpZesHqtFDWu=trdWDpuS@vmmONaj^=RfXv;uyR]OKlnUAPCqnKQLOtwQIqaillpWyLNpxj>lrBEphLUwAJkqoOhYs]tVEV_]vOamaMRNHjUUuFxWJLvayRdmT^DL[]rniuj\\nMDjc]wLMt]eS?HrpXkNhwIeOrHjcTM`AYh@oPQtZ]SE]rVtnNtOEqpAIM>aWQ`uRtr@aVoesB@NWTPCPrGdxn<WVXjEELhtLsYyZHk_ekEpj`MO=]RBdQKIOQawGakNLWldSC@slTJCDY@iT^mn>Yph=JyynCTyfDNDxYZpNWUP^YKjTNAQm[TsKIqBPqN`upplhMxNXrEqR]imTlPxDSNuRhdRV<U=PSVUrmdOtlnf\\v_yRE\\Qhtuq]T>ln?hNexO[mTDMMcmXEmTads^=WfENmUrKIm>AUk<RcPT=exoUl^\\RuTKTPpHEJkektTO]yRP@Kqdqy@pNeLFqSCXVwhSouXBeVlUp``WuanFTLJdjmHkgAVA]oKLUSyxOuPSApu]U>qxW@NpxQYpNwAN^imRTQApyfdkAatpeOYmKOMuS\\jr\\Mi]Og=u^=OhaQ=]qTDoihV=eMy=Putol]j>]PYeSMeSDQkIpLk]qudRCLPO\\VmqYs<X[Hm\\HuT<QMaj[LmRit@iVapXFUkAQowqjr<QWyYZyrXTsmxX@TvodQddymavRyq_duVdmwMRVHKkukW=LIYnkXYLPlQeK>Qwr=l\\]SluQO@NA@PNUpFMJ@MqVpVidjdaoXTjT`T\\awAQL?uS]yoEmthUUyYPfpoxDN<YUQ]qXUWKMLuTMxmqU]rcHKu]Mhhu`mV>hWSQwjV^HVghXo^`gYy^_Xo<_i@GmnfbOV`uo_Rg]ZNhIywmqg_`fqQdg`ZdhgnVcFnvRIq<QsPwuHWv`vg^NpJijxifpatc_]KOnUhyqfr_^cgAv]Vg\\^\\@OwP?pBiuQOhD_bcIbZ`xXalTFwj`ftPiqOwEvtjnhuoubokHpjuXsbWqSAgD`wO_pbgsfYjcOcA_cDFoT@qxXyUiiPa^>gkIPtSOaMV[LVk?a`[>hR_bbvpG_hSyaYgimyue_jVvtGwoVWrsPd=ndTwk`^\\PVwwPckq^G>n@`]PhhUakkNhngl?_a\\f^TPdvPci_udyybhqGGaIVjU_^\\^qi?ocXts`[OycG_yaXmuPfCWoep\\kfovPoI_mfQkTas`Nqcnj?ofBVeSphoagGWghnddam_`kRX^JQwRoptF]II^pHplV\\CI^wft@VoDW[u?x;adofwKogei[SUGeX\\kTUIb\\Qy?_wV=WPsGkqdAGhToH=qyMSHP[U=QIHIF>CGs]W]qdd[YVCylchjEuu]h?ubjseTURfkBk=saudYMcmMt=KCJUBVmejAUcIbs[EJ[EPMI^Ad@ktXutp_b@mYmUECgvxIwHyg=MudmcrCCkgX]Kvm_TCWs=gDkUCs?YcEDmwF\\=UhIT>MEZ;dTOYqYElAyT;DQugJdwT\\SNdnDyrdTWyPSaaN:MLfay[eTLeV@fnS@eWVca@y;Og_`^d@aI>x?GlG`tcvZrYwKnyonjhgxx?l]os]XtUVcMOmCHqnFjn_nJn^;GfP^pwW^?@ojox>?pl>iiiwMPuhHmPAhj@xbPtfw`BWomwkVhqOvncIrPfvL@cgiqU@[P_[[nj=_xLfrrIrgY\\<o]jv_;vfsHoqVqWHcCi^=osWn`v_rhxgqYeVpgRXt[On\\Ihk@aYFsa_d?iuh@kkPgoQmSwyqYa>>Z:>Z:>bw>vQv`Vqal_vbvrfo`mXwWf\\@O`kNmDa]S@pRHjNF`BHZ?vZ:>Z:>jtOj]?fOIfnIbKGfBOnFaj\\^gV@ZMoj<QraIk:Gr;>Z:>ZZHb:hsS_pB_oUxfiWl??ll`gCNZ`OZ:>Z:>bwOpKNpwiy_Q^\\amt_swHaFwnJfbKQjLWZ:>Z:jcIKUXTwdWlIt^aW=dKeTPm<pQYXJ<J:<:MUcCsN]efigdevC?gZQGGSghyxXIWfAB:;J:<SqPp^mS[ePqILM`tMdLMXU\\\\W;LRuMTInod>Z:>Z:RwARfaY:yD;yrdqRDaxA]TjgTnKDk@ORDlMhsZ@v:<:;gikV\\USvIWKASPgWIYHQCDHOCeiU^KE[Ygr;VEqeamw\\YB:;B:;jnYRb]RKAWNquDHrVQV\\LOPtm^UYV<UUilTXsJat_IluMOdlXgquwitQuUwyxUyWqqTPmMtqyuMYlhTeqtgYXlMQqEwLipeuthiuthXBis?xX=<J:<JAqN>XX=mTmNwlIsLHm>F\\?GoHafgpm^v\\ppo_AaMqsWXayFulhnn`pnxdXoeqqwWysrVvFp[WNanhgUqlXOaj?v:qmwVixpytYwWWqpgoxWygQj<PjYnmlOcIqmwFvGFZ:>Z:I`aX`?WnFHm\\Hd^`o^pgTWxrhhiN^pnkoxtGvxSGskF_pqwWYqcWt`x_pwwxfqiwu[wlVOdSGesitQyywan^YqlYjuqqrqvj__`_fqXgx_iu_t[h`T^h`AnKV^@_gSQp_ioqvufVwPioYwqxgwUypAxx>>Z:rkofmcR\\oKM`uAETfLWEyPm`lUAKSXYYhn@aSUypiuUp`WSUupdW@ikYtudhTehsYpYsPYmmtEYMElyvPquYKiqXtuXaukoXquxymYrHTXXuWqAryLXhaYtArmtYUWoSW_T>mXQbi_nqxf`GuKhwmx_Hqfr@ipxiDF[SGaShe>HmCi[rQdTPeSxfNOjU@dci]EioiAeJ^_<HjbPv>qhFqkjyknIs=IdMwiLa]Ppa^Yq_VcZnpwOycQqoWw@TAOTHMutIuhgEOguQyd>uXwUUMeTOebBoeOCHrqWhQYPorxgCWuylObfuydGyeWwdwRpyujkXrErIKipeUoOX_]g`ofqIsasBw_f\\ae\\GyPyw;WtqcgR_dQKbuCyGwCNkWTEX]mEhgT_AuxsVLatxScesUYKcMAEgmvNey]?FQCePgEYQiTYCDkDTuUM=SsUBa?TWykoaQ;eQLQmapWiXk^qRfHObUSNplxMymxmgIumxVQyXryuUQYx]q]PYiqy=HLpxWutuMeTQYVfUy@AQ\\UUvLMTlNKeSAisFPOWAYpisByj_UUa`UXijXqyqyTXEsdmtftOitOZIQfHkEPx\\hMcpY?wxwN`npyEpgaGstIj?xbcAbRnr=w]Sy`NNpMw[jwtOQsS@nbQbeYJCyjSdt?g=giuKFQIeFyEpqfdOs@]dCAhquwXiheutLeWCOtLeRout_UE\\WUqmEFwr]IUTCghGcOurG_wPMUqoxSeETqEA?dKETSeyoEy[OcDQgB]b>=uHavkotAIdgSinwyqSyEwIXAbb]FewTiosCIsC\\scxtjHt=tlN`lS\\vkqx]]oHIwrirOxkFdrLXxQtkXMTndXwLycAy;xYaEJtivFeVQyVHDU_`XaurilXkUMSqQu=UyLYQhtKiuktVREltUyJEq=qvpexvQnwXNSiMeLkmxnHyLqmqxUVXXoiaOLqlZXXGYLAuMQyWdLldANOevmMkppuyHxHPtxyKPlSiYPOEkVImAmYeLU_iYPtk;IlSutSLOhdoxIletwfakrMkmItC\\l=tqlyKFUUb@SNxRi@OVhN<EQLHvfTXoXqa`VAQYUXofYoxINWHMqqMuMsm\\S=DLoeXuDOBLYiqVxeu?@vyqJMpTd`LiExwPwBusrxr`xYtUoqhLrqPS`JOqNsMsU<qoiNbUKCTOL=vCuuL`TYPvcDSyqVeAoFTJaXydaPCTm@=sDlvuqnf`qEqx\\iYIpqsuoOUtJ`s^HN^IXqXVeXLCikHdvhdtdqx=InbHWMqnGeJsIygPUoPyfuXvEyyMNUMsH<TOEkxMo]MYaqKSulY]tkamMQu^qpOHj]MQTYpqPY_qjliJyWxUiaAOmaGpgn]cyxQYiKiemoauOwqwfLAob_jQfenGd\\yjhPmofhwwm?IyTfnqiiI@uOQqrg^uGuNVwapajNiMgf_Vliavd^nPOp\\hoMy`OOsd_dfIi_iy^Hw:h\\nvwbqcTGpr`r]Xu\\_mapmax`xYkxFp^y`nByURmoTHMfCAVgQcx[WYcYSqVTaEGMeq;Ho;rdkxrgSb=UyGSmmbg?enWhr?Wxcg:uH`igdkX>mIcmxjCVUKTmAiWYyfGFlIypmVM[VYyHiQh^cr]GUn_GYMWP;YqQGcEyiuSVmCCOFkwEWyGAoTqeFSkc:kc\\Ehg?RB]INwhn_RpWCyacuaCr]Fb_ICUwdmEH[Yiai:]yDCruqBMgD`wHKoyoUB_KSF?gtWx_SggueM]i\\QvQqDO_hy=teEvCsUgMRndKUQy<iqGuuD`LrMP>UMnmnv<pjyp`DotHkUprH@pO\\syiS?dQBakVYmqQupdk^TRJMNoPXadU=mw?mS<tX^lXdTuutXxEpuuXyIJ=lQTaUpqSCujIuXV\\tJ]M[@qhxrePoexoTlluYtmeWTMnBQkZpOsHUQukrlyKHOy\\wLXjePod]X]lLQYVN`mpmYAxMrMwwLMOdkJpReyyxLy_AxKAtfQN^DWSxKLLP^APTtuTMp=aVlIQ;UnJUwEmXTPJKiRfYoPpsAUvAEkqTP^]tr]PyEwd`TfxPq`KktW^IsRIp\\EstIxyHL<QloUmwDpsiJZeohmsn]PomtVHQI<TKAVp]xNAs_MyWDYF\\YPxPmHJSyKFYqsAwXejw]w\\iXBqn^dvY`pVLL>MVyLuqDMxhr\\Ep;HyJaNvHlLYSIlovDNdQW<xxX\\UBlsaljb\\sNqWkiqDqSDQp_hLlqrAmWF\\MJiKYeWLpnvHjUuUBypcYUK`YImnJqJMpLxMtdXmjHW^pT;QLq<XIit:qlOlqc=YNqNAAKMhYVdLV\\VRLQyPnCeKE@WBASxxngyNUmpVpuqxwPioUuqv\\YLyVYxMDhrdMnKLrpIqaUQ^QwSMmhiq?uPj]Qhxyj@NuMrIQqYiyrqVVaS]`pB@SvhTE\\q\\UVf]ttxkc]jnLUyHSHmpgqUo\\RfeKKiPPHuHYqKhXSMklMJo]YUqnWYpj=NdDo]hjVdsqNkyn_V?ZT@ssVtinvWybiwuw>^OoiKGy_otworKIbDgaiInDyaSGa^PyLfyZylZAx=Y\\[Q`X`qla^fXoCX[>ypJ^qI_mCPlNnfDyprqqWnhlxsiOi_XpnQlqvj@hgwoa?f`^Fg@V\\X`[QqZWvcC^_vQaIhs?XoZgpWNbowvwfr`HlJ_nbvrKGnfFdGijsPwc_b=AmJy[mvw_FtTpxN_dNplPp[u`vLxivpxxyfYi`ivof`kZ_bSwjJ@aOWqFfaHH[Oym\\wwfxyviyIXsen[biqH_gqgrjYlTwpfoocGlR_kVXuqAypigxYhZA[wO^w_p;?lKao?_xSxdyVidqyYxqwqtU_`lave^bjqiPQvN_yX`__pleny?YnVPax@^xaaNplDN^ePvJabH^jxFZbPgvFgdwmkYvaYtNIiFU<_TsaR_YdSuvSGd<qRYUwvwbgsy>gvJOqbYuPdYuAXsEVhqKWHx^dlapKOTjf`xi\\JQYLAmO\\DSedTRXUVhOUYQn]lDtO^@TgMlotj@hWw=Q;UUBMUK`yeuTlqPbIYDeuDtqHiLfpPjYsuMyTpj\\es]ar>MvkMsGEXWHjKQKUdVDmnmdwTiquxTXmUsEYsyPApYjirqxjbPl^=MkURIHtiMnAiPVtyqqriPkaxqsUtyiWsMyYelyuYaArnyqNhQpQrPMS<pJmINAeWTuV_up`xKIHTwLkx=OsdPIPvgTqByvuxqCYsIynKxjeYOUPMbTLjESF@Pn`tfIUK\\xXuLsYXULr=TXp=qgUKCQnoyrJXU`xKnTV]mKTU\\ai^riZjfu^wfHams@mlWt^il^>t\\IlnN_Iofu_^BqiDIiIfexIcEI^fYcFvfKXbXVhJh]afiL`i_Wa`aajvaKorwObtalaF_]Whgo^i`cgfpxhZ\\ydBnaOihBisCX[mfvU_iMVrG?b?gre`rjIkbhcxipw^ioHcXa]T^poIyCPjXFbOYrWGlvyc@Pg=haOaluy\\xGfYvmdXeif\\fp`jYsuguUpZpoiFgmCx[efr]G`GWtFf_Lfkb?[??uJXdlfmcYoipqdquwXyAYeDOcxXwmxwZI\\dp]KnrlOf^P_hH^]GyTQsRpkU_pfWuV@wN@wHNlBynuvxQ_wSy]G`bmPplPoe_xyqlY^uy?bEPd_fkuAfbO]tNdGolhPyIija_hYiquwhYqqwWlTwv`acYOtIHat@tXOrrIxxHfjAdtQntI`GWlsHxnI_dylwftpxp^IaAPvaogTpafxmB>rhp[?Aab`[VGttiZJVvnpv]AgvWlL`ZRAi=GuVHf=>_ifw]OqjAdDicNGb`VkPFfx>gkf\\?nnDyySgq@GqmVuegdYH`h`wiPo?ouM__yaf_A\\\\Nl>Vfsnq?QrlXrEwgxP\\aVcCyg^Is;XtaxkAWc<P`HWi>puJ`pGOidvsHPenfgYQZ;Aui@\\vvcFytjoe<QrFgxP@j>AkMhbSqnoov@gshhwdwfv^ioH[KMTs?cvUeIvMGL=RgQCKqBcYTNQdnYGvueBYweObOqFlui^itwGWrIwQ=iAERYgGYsYnIshgivuyEKsF]wYudpgs`sukuv]yyqYi>ChwcyNYTyYXcifEuUYAh\\_vnwwIsTcME_eFW?x[kF=GWW]sfXqL=wkPMwAXOeX_IjdxUHtwjesjYvmPUnHwVIOaUvPxoipqmenPdQhLnK\\Og][bquAy]ThiYinyAioiteqoyp]WVxrNs`Vr<GZ<nk`Pkn__Qqon`vwqkuw]v?wIWtpyduNfbauDfmPypy`p`Iwt_eaaq<adbnohf^oqsUYeSGu[XbAxgefk]ftkNs=ojXVf`Fb`?tEXdWHkSgwnAyKX^OWiev[wWekxyUQxiysdYtfayMgpwflANoePoFVbY?p^YrRpo_gbBpr@>qRyh>Vnf@opiwXOb]hnKXb]?ZNQ]ev^IoecN_jQo_XxAnkXntENk>>lpPkn[@Vsu`xGYvmPmFNrRIjkaZHF`SHwJyxYypgWupwsxov]n]IxtBfxB@\\hh_SFhDwdAx[Qw]cPkKYonNYuvnOysIIg?wkeSfkeOcRImijqyDixOcWUahPAh;_sS_T>GiY=F\\gH]GtDgUm;B:Ou\\mi\\YGNKW[SG:;FneJftth`PaiMuYMmATNqK[uO\\Qk=yOnlW>Yo]ExRDP\\MjS@PKYWdMvuyKXDnFaROTNF`KDeRydQaTyTIVgqqiPkeMUnHYmaoSxYWAqvewxpXgUulMMntX;PNTtVBUNDXnJQMNxll]Tg<NNAVjxNPLJ:Dwh@SAQXgQoAaq]uLmDXTLkjhNYerxmpT=s_mrUepheYZAr;plGQvt]oTDp[dNWDM@IvTPmwuJI`r]MQYhn^=M@]QahSnyVQ\\XHpPQQU?=mO@XPYKUmuyasBqsCqkd=KUUMi=poMyrQpM\\J_El=]PTMMs\\pD<J:<JrLyuyuLEQkdt\\DrFMVupNxhS@pL[aqNDtj=MlMWYXlmxVIqmHiwkexHYNvlL]Po`PqluyKdUa]p>AkDDMk@mXYnEUsMTqnXnVdlMaQtayLiseYS\\iMu\\vb]WZEO<yM\\HkN@s?LlBlWQhjb]pnLXrEV:<J:<XNYtLlrDaNUUxZLOR=kuivc]M`qWpHsrHomulhtUyeihwaBIgoym]vj\\Gtr__PGqyApHiqlAyDP\\@vqYAgMQdE@^wV_DWn_vmygeOqnGWqf@[mIZ^Yyh?pO>tKvmtyrAIqRQrtwaxFoWy`Yai=W^Axh@>Z:>ZAQlXaf=O`>odnNjspsNF`qW\\FOonfhgQuowthhewYyoYwjqxTiyAXuiYuy?aXvkki^rAagF]>vbCWsP>iQypAp]xYwyO^TNk@gpinqMYeq@g?qm?i\\m^j\\^_?_lM@qAiZUG\\cPyjAsEvirXwmycH?a[aZoIeIhsSx[iq[:>Z:NmPnGccIeeO_BmCXXKclig>cHe=iCGgFMU\\AwtwXeqhtiwqwRF?EkMxkyBqkWiEDIwtjSbVogU;cG?H?=eQ;iPaiSkIj=GxqsakRHUw`auoqggUg]Qhnkv]AD[YcCQIvQHbCI_qht;x=YdH]yqQgy]eo;YjWwkuiuWXlWrKgEUYgqSrIqbuIC:;J<IVTymXdK]hOsaw;Hr`AvqqQoUsAyMwEpaAP]=O[xOcMUHIXTioypmtAwnYqLtrs`xYxyfQY<IKOitoTla]WsqVyTX;tVetKkTQXDn>ut\\hRNPPWmuCdo@qKcaX<mWPHjUxoTaTmHVEInf`O;aSKDwIxNNqN>mKYlkYaQ@uwSipsylY]YkLwatQkEwFuxvqxp<YMAJ:<JJajRHOkpsnurwxKHayyHWATWV\\uNqq_LykIwwImqlMwdm_lLy=tRALJ`x:@tLXQbiyjalMmQvAv=HJ=LyY]y]QwT@UOpW>iKkdnCPXH]JKMndmdHndP>d:>ZZRLCTJcdWmX[ufxcuTgRj]iGUhTWsikWYqiW]TQYe[SFE?EKUrBOdrmdXScdIxB]GPgX<msQwISktiYbGUeb]hjQT;;B:;vR=biStBIR_?WNUcLeCaKb]KtAKbxYtLorRYhausMSioUurGV=iSQiyv=XXerKOeRsecUW>=uxMw>OTVUc`EdhcEUuRmOUnsWk]U^GUmqHgShTWWNegDOE>OhK]dlGTGoEGWhIUH]OyUYYase;EWCoRbyh?kbeSGc[srOBNIi\\ARcUB:;btiDjKV<CDpcqEIuEMroIjs=RZEn>EnjUlT@TypYwQSEQsdMWdmwxHWBuqhUy]ExrTXy=nFaLKAoPlRyeoUaYjhWupPy<g=wthf]xNupxvexwF^kRv^?QvNGi\\HZby^dxdiIquqjHGeKfq^`pNpbBvoD>Z:b]wE>IfjCgAQeRWwTCtRybuyIjMg<IFaWu\\oxgYuIKEn;WOQsOgitmxvYvNWCuyXe_fdUDYGhEWfFuVDogVAhqIfaqXviW_ydI]ingyCibO;GLggUCDWut\\QY^kT]grdMh\\krQsXH=WoYvYkXUEy@YEnKGTCVB_yrac@yGY?GVMCkar_qxCyGy_ylQueugGsUJuiririKsDQsZOr^cGg=B:;BBub@aVeaSdgX`KGNGGGIId_dLgw`sGisGPUTmyxQmUSKHn=wYmEVsxAGeicgsaGXSFGIu^guBodOcsTQi]kis_vjofo?WXaGqKfeEHWSTgEGPscRChd_yY[WswwpIbK[MiuQmasmDWNepLtl_XPAtLHEQoEM[DyfAVCQxsXrAXtmXypiwuPvDXOxQyQyq@xsEapcUtxMyMymhtUx`qEUVG=o\\IUSUsItJGAOSUTV=tJxKa`wxLVXHy]MrlLPq=QJXL:<JbxVhMx;]TJ`lEiu;XMuQTZxnXyNY`mOaoSQwOYoELxmyMsxy`ypyiqpiry]WTiqqhk;PXcDwo@k@ep`iOJLW`=wrlSRXv=pnQmyZhwQtTWMy=HlQtkVAq[URcEUSIQaqmUPJgDq_IW[aLnTn>XkKQvo\\nRaQyuvWxXH`MsLpAukXDv]Pn;xrGXMAuWvmvSxVTtjPpr[hJ>`LBmjd\\mRYu`ujtPlHAvguqH=Sn]lPplFpN^mo?yk]<x`qJaqR:<Jj]kKQliHYHMTLlX\\dVwHkemS]lRF@Qj=xZQjsYxUyVqPmmArGxSXYQ^@wf@U[mXcUUvIW^PyM@Soql]AsAeummPH@Mrhxkxu_qQqTW^IkWMpb=VtUKwHPoLULepxPtSXt`InCtxrhJbeR?er\\irExWrHv@`TEMwtXwhXUl`VCUVRaxDuVx\\jP<mF=TJ]qZmrZ\\PiEslqJu=ypHtpTKP\\LiHUpDJ[hpMmMTmKX<L:>bwVlMxhIWesyit^sofwUypy@w\\XkpowVIyCqlgvgyhxPwov`qmVy`iyf_tsf]t^hbWuph_G>hZAr;hauoxvgyoyt_XuxNekyoyh\\N^\\V?h[ijCiakQ\\E^tkWdPq[THp:YnR_qnQtEgquwxHqsHqconrPioUwxiyuyGwLinMx^IocVNhSabvN\\wYkFi]KpnQ^dJ_aq@uoOgJwwvqZdh]?frhngYnatOZTx`INmG>Z:>oa?\\IfdCHh`vkxfdQp]lwcHhaOf\\uphiqy\\Ykin`h?ujxplPdfypNQooWwpIasfmu`hsFx>Y\\IqaeaoHFqshpGA[[H_PoZ?onNNvgWsVphixxXYii>rHxriY`AFd^ApHAnS^fGhsD^x@OiuO``OepQ_uOyeXs`qkRFdYv_e`hcQnMwl_V`yh^CAcWpmyhgmNbMnbIvl_hWICRYBACbwwC:;BNiR[MtJwCuaReqS?miZ_g=uIwUypigqkd_[S`myTMix;YASVp_WSQXxIyaYyDSXp=HiMuFyUIswwADXotu_bISwr;toWWQyXYiYqCUDkRVMSOOCnEwBSSyMC[?VVGI]_XgEXBcHBgfMgClaF`ef^LTQ\\lgUTnETjAj:<ZdIkT`ybyr^o^IxZ>Wt:f\\Y@gJA]yFdYodPoxmymyauwohraep^rIYquadIQntqrT@ZyQjjVvFW^`Qu<Vi>aecYaJwfRQoZfc[QnZfl^^b@_]HphVVxja\\uyr>hfC`me>ubiu>XiLFdWGjdag<>Z:>ZoG^`^wIacG__q>en_vQx_Sxj@fsRfvavaePodPj?PwbH`=pnfhbmniW^_SXvfOsjWn:?hH`vOnv<@dV^cZF[mN`VIbPHswWxV^qnngKAmLVlfasLqjP_Z:>ZdIcVXaBQclVdMgxwPf>aj`^xHgu@hr_NyNhgNg_dXjwYofovZPjc>cTxvLagGYvvPpFFdlOuvhoNf[i>oQakrAxLqpuotFijKY^:>ZJA^dWlQFt`FmOF``vgIHtuAn?WkPF[bfgcqpMGqEopRPleydhFtNQc`fiPaa?`mRxhVqv>auV``]FoMQ\\UPd_ApGNyu?b:B:;d@KUlixyWtfWWHwSM=FaOt_WcPqBugTayvaywSYhAyUVwSVMtumwiwr^[eg[RiuSPObvQvo_b>_t:OWGGR]mR?SwhCVlKTUKUlgWx]x>sUfICFEY:;BZGBKaHAIer?t^arnSFB=XYOXDIGuqxgYXCgu<iWqAdKYSP_cXWsNYeMED\\mfl[xJSUtArkkdmitQuUWOtjYIk=iVApYViXxkKg_vobdGxv_jDfdyF[`A_KN_s@Z:BNQTgMC^mf`odOkdQgWbCBkCfmostSW[Qr?owmWx@=Vn_SRgurggF=yoGi_GyayeymIl]vBqbHadjuVRUI?MH=cdsaVG=fFyCQGD?SraqgSkE<odVAV@QTjAb:;B:cx@USrCgHaR<[ErQHMSxbuYx;iuoYsivQwuquuw]TgMhPGbjUissCqyETKgdOgtAw]wc`asSWtZIEDSwAgElSFoQxfQiVIB:<JLPoE]MlMygDRlewvLrIXPwXYFMS`MP_PN;xtqLsGisgLOdLYlIsaTTGXycynYpMoLWN=kkmn]mJZhO;<J:PYLpO<UNlawu`rRHSq<txQWvxoDDtIdQZxmTdQ]TPKMQm=PX\\Qm`lillq<W@Qj^UvUtYvYvYtmymysalPqV_PQPQr?ncUp`GNgF>lM>Z:>oi?dhHuYgkdVoBhrx^lI`^mF]>f]HHxIgkvarF`kFab;wwMG\\Uvj[WvyYga`\\b`]eQeIVmyasHqsXoqvGyWxhXIwugtqy^Uyy\\iuqwcrFx>A`;xk?ym:>:[fI[de=G]aE[]i=mc>ADwAEvWEFwSxITywCqcWViY:qH[ItyYQCmyYatumMvxxH`KCey]UX`Yre\\J:<J:pn?XUadkI=XoqkuuMvyqcYtdlKUeuZmtElQ[hOtdqYuybhSAmkyYmLmx:<J:<JJaN;]yyeR=LJ:>Z:BbwYhMD`YIFuC>SCkiWPIbP?B:;B:;dC[y^ER=OD;;B:<jFPj^mNjqq<<J:<J:Un:YqHakIps>GhI>:<jtyJ[aY^ewa=VKXTNYSE=J:>:KEJweVACjAbbMs>cRBQsCIuQssXqC^ScBqxSyDaUHJQv:Ox>;B:CEcChCHx:@kDMM<QKUDlFaSwQs\\am\\HyPywkYkqiQl\\PwEPy<TrHW?iks=QmQpVUy>HLlhYHanchYPtTxpQNtModVl]K`QJ:<Q@]p_LNvurglVl]UIATTMuxtVRELT]UsxkEDU`DX@hlfuN=MxHPw?XXjlMtAsxPqjxwHQloYJETYXTqOpqHiJB<J:LMBuVLTOtPQ@ImjmRmPLAqkOTSPykyisJdR\\aqx\\teXSGxUVEyBXTy<xwPwJuq@iQpdyMYUSIXy`mc`OBas[pNUIqn`p:@sY<OVpuaMwNmLd=vniSeLKaEku<wkYwqlvsqN:yPTuWN]xpUoEyQcxtdtwO]rGhX=QyGeUiTV\\usq`l=Dr_QWxpjfAm]mJPHN_]yExRiDO\\xfswhWYqbw_YQodgbkoxNa^SWcZpvTI_:_x[Ylbwl<`oV`mM_poqyGxhNpxy?tyVvDOr@@nOoaiIl?A`Ygt[heaO_aO^EwfLOsDImwAjLgw]yl]>Z:>dy_y^p_qngiys^?eAG]B?dwpjGp]rfpb?e[@\\do_WOgeaxGWyb@a]OZ_@i_Vl\\GkipwZOfQ?[lN]Z@i?irih_dFgyAnQqv=YiVYyXF\\KGmqx[oWgcWwaplvqj@Pv;Ny_AtbgvkaoOXl^YpVG[RNwQfwJvhNOvpAnAFmKxc\\OhxwmcNsWHkIYmnPfkGk_vlc?jxOtlxr>yhyPv<Ww[x[FpuNGecpldxxXyiSwcaOnyFbPQ\\wPmOglmv^g@u>pjoYmnvfRQkCWaEHuE?ovH`igdkX^lIcmHw?qeH`jsyqAGyvQcSXq\\oeRpsmn[H`[Dqqm`dAPrlip:>b=YgFOlP`ogNZU@sT>\\VodhOmHpnpYsCI`A_xChoEGhCorSYgxQtOo]GWsoglW`]rfyPH^\\NuUv]sTZMD^YbyaCs[gugio_VAwHB_cDcxd[w]AI`Ib=KdQ;DgwvpArACxeWg`eSoOFIMcOUSaYnAEKhXMlLWvLpDLWZaxsTl<=M?esaXpuUL_Ov<yfiIhHfiGXp`ass?jlQlc`lbHlix_SIwC?eZYP;eoIF^Af]wxFMhfYYDaePMcQIGSEb<aB:[HB_XQ[v>=c^AGUuV\\kS_Ec^]VM_rV=VVAsIwhIqirwebqxhaGSuc`yD_AUpGHnkUwwrqQGuCuayH[[vs?H@eWG;TDMR;yG;CWBot`YcNmRK_w:iIEsB\\OdtkiI_r_sEVdYGXX`xUFiLRHNX@S=LL`yLOdkAHwomvSmW\\YXYHXbemcisx<J:<SEPs>yjP`OoEsamQMDpxXPXiQrxt^xuFxmtAJgIvHDP?=lMqk^pjoaUWqMTmOkqkpQvJPSC=NvDKREmP@WgeK[tO_ArFMtaXJhao?HK:mpIqmndpIAykYxEPkAEYvXOM\\NFyNdTsfLsGAj?Ynb=JaImKPV>`oxPpI<J:Lt>qSBHUmaK<]Pf@UmaLcHkjDRS<sG]gVHsef]VH`j_xjN_UyjVQ`w?vvyZ`AcEytpIuMh]MqgvwolWhJGdkQ_HIf\\a];opKFsOYjqfod_k_PdAxg<NwXfoF`ekPc_fkAxZPH_KgcUGcc`__`o_V[ZOalxsVHamG`_qnCY_Cxpe>vM@`YAoPocpx^cGt\\f]RsjaecIUe_wEGSZmwnGB:;btUB`_s=iTDSbr]gsmG_IG=ah^GV]whpYsHqTu=t\\=D<]cOyxEqed[GpStqcSLMXEgYhOeaSclgS]wsGOuJMGsQykSGJWf]msgqSEMyksynKEf]yrQUNshyMBdQEgGEsATdku_GxdCUv[GjqfcYrtIcN?Haah[_sm?FK=Ye_SPCgTwR<ag_kCjGx@OhsSr@;TXMvhwylCx^Et\\[cPySOcfK;djsyaexTcta?svSri]seihdwsRsvS[idoXSyB:LMJeVLpMJLoumMUYtpYjGUMquwQpRjDtTUQp`NqmuOHRuMu<LlvPu`TQ_`L`Tr<<JAaOhAqqIrcYthYypYYstmC=k:pUW\\`ui[Ja_TQdWir;?cnF[f`mvFi_@wJ?e`ic:B:KeRuxNMRKIffsCB[cNYxZuvbMFRwgrMfGMs=Gir;B:;fcEtLOXf[IZ[EeWDCgfmAH;kSdMSjwffqHS=r<KR:;rkoglCSyEXcqeaksdERni:;jtqwWPO@`QULm=plj<LN<J:>Zn>pXabfxgAV`CI[p`Z;X_g>Z:B:oB\\lnh\\VRXWNDkmqvDpoPAKMmRh@wtAuVHyjQK;<J:<ncEvPIS]YleXSvMOM@pRILQps^UtQLsJumkILutNyPuxqPrqji=y@xgWa^xXdJamrqk;PoovcHapwaiYhsF_xuXh@hsnhntV\\GQ_n?b:B:;Wd;inuw]Gcomfukww=XTywiiytAFKSy<IVhwDOkXFQwQyY:WRaMrS[i\\WwViSjCUA;B:\\PG\\jQ@uLeTLTPS@S:hPItVdxJ>arx=vUHJ:>ZTpZL?lRajuxajHn`^wmns^PxOoZL@jZ?f]haT_a;fgV@jPvxIAqNN]>favFZWQtx>a:oZan]:>Z:N]Twf\\nx;`eu?s^v^GibEG]e@mJoZ`Pnyqp[>gQQ_NyiXN_TAmXN[COcaFg^i_eFxyVuJ@w[pdLP]_fm:>:[H^os>]YH?d`oeDaVuEeZ=vXCIbYxDaX@Ug[]XuaInSWiUR^ErD]Y\\ybtqUg=snMB:f[[X`sF[DgxHYktIwOGmBXwuQlUq_=wv[^hXG\\TvjJiuIOnEpg:wminf<QmdY\\mv^lXvAwxjYjI>trpqfq\\t?^NW_K>vvF\\Kq[n@^a>^Xpxbil\\^t=xjT?n@awC@t_PvRIlMA`XXlexd[Pvl^vU@iYaZEXiqo_<?ibOaMI[:ZcX`WOqqItjQgMn\\^ajCXmSP`Vvcw?jixb^xr>WdtVfnGd:?skGaFQf`^rqAxG>wY?kmPrH_tyi[hOdu@]wppJfxrHrWv[Mnw?_sTqdnh]SFibYj\\^dpvlWYwG@hsnhJQ\\G`QIBdyWlKcuaFyWW^EEt]x_]DN?YiMbKSHqOyYQTu_X<;B:^omf_eI]\\GrcO^cGs\\v^cg^lIdRP`LGgDvgo`ejHkyypAfw<?_yXZ<g]JIisNXGVnSwG[xSwgBqsaMCDQslkYVmbPUFn[Hy;F<eDvKxysWBkIswBgognWfDcdZarbgUtCB:;BZSF_kH\\kxNMUeyi`ShPAYgyvmcvjSrQEuX?D[SGKqXmAHfAWPmcnOgsuSHUeBaujqIR?sNEenSfPCw>;B:DmaDpCxOsDyFXP_MxvmnTingPTHhy>HnS`Q>PSrIVI`mtpRxusVQYmxnOQNW@J:<JJApLTQ^AQMDxUELIUxLQT`MXMxl;Hot@N^QXiIJpXJ<xKrhQgMu?awJANbqlE@tC]rImnmUsRyo@<x]et\\mlR\\unmNgIWsqVlLsJQjDUPd\\jDTyQIsUYQwDw><:mvcaSpSxrcTI?WM?f_sgHaf[]xbyBbYb[;W]AD`QcpOIrqRGaX_;urCbyquCoVc=WhyBbiBxuwWySTIrDwDmsu;gcViigEr\\mgkaFekCputdCeFKEmQWQYDuQSwOwDiCoGslccacUcaB:;JSHomDo>dRFMQ]UOtpWTapkurX]ndtSWMUMHoSlp\\XwBhmMHV;PN:<J:<WdLQMQpXxk^DUKixyuMviyiywwQVyHNSAkyuxcamOyY:Aj`Tv;DJn>Z:b`[fmcbOadvqT?Ytv_hNaT@Ie:;B:;BJGhtSTbAh>YSHMU`YWEmuVQrq[Y=<y@Fmvimd^e^a^AImpXaAImHxg?onXimSWvFwxvq\\po[>>Z:bCAVTyeXcStksnuuiywwQVYoGBACkihiMynmsT;vyks>=rOYC:;B:;BGCBYisQ_HicG;;B:;B:;tjav>]yQisEAyw?H:>Z:IdiHacGZQHZh^_Y@kAvsffgNxnn^s]HZ:>ZZVdZHo^`Zn`hN?tUWlE?]Jw_:>ZdQlagh\\>n_XfXVraQl[AdD>Z:>nK?kCVmePqtvtTvgl^p>WaQYttw_UVpb_rNhpbOrlN`q?auV`\\o]yp^xWsjV`HgmlfjWp]nVn^gciyj>?\\p_eV?f@YdEXqJNetF\\IG[Qfl]Fl<fnmvZmAl?@iDNmjy_lNyOWx@gvXAna@o_>vt_myidA?Zoapu@u>I]>Qtfnm@WlS?cMo_ZNlZI_Vn\\hfc_aeF`t\\GxCY\\:>Zrn\\BIsso^Tatl@ppOsnH`_^jN>mlpimakLNb_A^MxnMvlEGqpphDqpu?[Ovpfaf[nn\\qcXvan`qRpZbhuWOc:n^iwrGa]?gri?hNoh\\f_N^\\iHephs\\>Z>pbj@qFoslq^=qiDh\\=?t]adOyrMvnlW\\]njCpkb_vS^nvNfVa\\^vokn\\kXkWq_Vvc;`tx`mS?cQGp:>Z:XfD>]]Or:q^mFeJQmTo_@fsR?fD?pLinEptH?qA_yd>]onfJaq_VsGA`ypvl>pZxxcpk]isUQceWiQP]Z?ybI[bgwpPp>Hdg>[]nfc@waAftNcjYdfotBNiVOtrforojIilVovwV^hqibOkoA[QGpa>_JPuQXpOf<\\MMav^Ap_IydaSGmV:IofUuT]Pi]Jp`sQ=W<eyWiv:mYiIRbUUWUn\\MQKqVYdw>YxN`LLmwQtnJetFGhuGmqakDIbwXxUFxgAZ:>JebV;XliV`Kt>ACdoX]SDo]EIAV<uhhGTgsUlscXYeBUhLueLkwkERkMU@mI@aUMsRMAEVwVhcF]gw:aUUOGb]sqWB:;BHgUlMDjqgH]R>wR>UDjQcRkyeIE=ovGUHWicEuVH]C_IYVUiu_I>;Ht=YgQflcsb]S]KHgEUfKrZyf>wSswWVWsaKuXCun;rZousmemkhL_rF=c`GuGyHOexoqXVoXE=JZAM]UNkLK[emFPq=aP_hRD`j[PksdXk\\KTHTL]UyuXkDwsdRXarvMs@xt`LO`doEDm?XkcTLElVfLONtpH=mjDNKYT<unv@nRyNHIv]xSWDVXQr]aOf<UhqQ=plUQwOQpCLtJyvBeTwpqWtRk@jHhJ:\\Mm@pBIkihPxHX]EsXlqXEls@WKyKTUncxXYiyjywyyU@`NQltTtWF\\OY@KhTX:<JZppBDqPAyhhYfuSUUSWMQ_XKYUWVXYeIL=APFyY@HnU\\jRlxLQY:XVEpk`LS?LWsQlsUj@ak<LU<<Zdi\\xWwoPsSpptpoM^^AAmbya=fbbFb;GkWVlRxnrgw;pq>>:oB[sFfAeiUE_YTV?SvkEQ_i_[ctMI\\OiM[DQIHBcVloG:;B:[HHKf@ShUIdTOeTKFAMeBSF`cUMYvZWH;;J:<R=PoGmlHar@xlH`TQEXMmmnyLIXwGaXW<mC<J:<J:dKDmSPps>EkC`TYDo\\QsLLVxxKBDwkYv\\Ixr\\LN<J:<J:LwO`kvuYmlV\\`tNeTOeSf<M@]UiUMAdmC<J:>ZTncMOp;iaZ>oHadWgc>XorvyQvnv`ZFaZ:>:;fxCbw=UCQV`kvUwD]KXpSd[WtIogMyyZ_t:;B:<nxEsCmOnlwj\\wCitC@MWDXPMtoMLq\\nhaJ?mJ:<Z:f[:vlGwc=ovTno>F`@O`yI\\>^s>Z:pZ^v^AV`KonLA`LX_wPpIn\\dn\\N`\\:>:;b@;bjGwSYxS?ui]cn?S>GTKCrbKfmMdLAHjSD:;J:\\PZDQSUwopR?qoRDUKaOWuPjlPbdRcMq;uqn@k@dN?<J:>ZG^osFeFan_g`io]ofamah=`b\\Flbft\\@Z:B:\\PrLnTdJ@yrotW[tp;AVH<L@]PeLS;dn=<J:<J:pRZmNhPPcesU]pJpm\\amS@QkdV;Ew:<Z:>b]AwF_lUPmqvghoomnsJFkJgoC^os?:;B:KECuV\\_tNagSUXsWC@seAaD_UBG=VGYB:;B:;R]CHMKrrKso[FkGRMcyLQFf=yCKSA;B:;B:cc:aSBwscgcRoerMVaUUfsfWQB:;B:;BJAxFarQkY:qf@_b_SH[;V`;B:<Jb]M`MlvYvZINDYS><mC<:;b@EBFkF;;B:<JjTL:<J:<Z:Hm:J:^s>>:<ZjV\\:J:<B>:TP;<J:>Zj:;JZmN:<Z:bSJ:>mC>Z:B:<@>:aS:;Z:BmJ:Ut`mN<dR;J:`SMIm:`m:<J:>^m@mC?lM>xM>:<JS\\rF=J:>:T@>rk@[VP\\mFjGw[:>:;BbaS:B:;IRGcJ;tL?B:;JZTNJdWdDKWpxaxR[iW;<Z:XfBHmjnr<gg\\xZS>mDYeafkAxd?>Z:>ZAA[Z_mC>Z:B:;HMB:LllTLr=R:>:;d[;hw;F>ACM?fb;fc;B:<Jb]VWHK:B:`kMIm:AnA<J:>ZS^nmFen`js>nV?Z:B:[P`MR`aY`DyELK@<:;b@MbueCB;hcIB:;J:mVbaS:Uc:B:[VNSHkkS<AulGw;CR;<Z:pr^o^Cqb`Pr>NmM>:<JSHnmDOTXLNXK:<Z:^`lV`;Po>>Z:BZSDomFuABRMC:>Z^OjHavjHw;>:<Jb]U`MXctS:<J:<Zb_c`Ohsxv;h`IZ:fk?@no>^:QmA>:<R]PwFmSTMjSpp:<J:>lSNaMnpQih?fmC>Z:B:UflSduuDF;EaMJ:>ZS@nmF^Rvf<>:mb[MtYwuwQyuURqKejuXsKf[yEnot`aydawZ?BmyvIyy`YeiMgeWgUoWXSeqsWx]ykyrIwEykix_X`[B]aS:;BZSHjkWpYe@mShIu=ySeEupgVMis?Iv=sbykUwIDGYs<WEi[xXeemavMgGIWIh?ir?IqsHqGw`Ih\\Of\\Ev<ibnsGMoWrGfx_X`[CtSD:;BBABfigH_eqErceulwcUStdGCeYDEOfAIvEkSUey\\YUxIYVYhayTq]uKgeWgYrAx[qfUwrpiwUyUkerOsCx;yZMU\\UxYuHI[X`;JZTL:eVKIXgXUPdpdHNvAqCpYbMycmO<`vd]OPTn\\eqdPodHSyHOTpYTXKTxln`rPdXc\\SRlt_LJ:<JSxrIuRsmJGir[QmtmOLiLO]tUdMyIKTUL:<JBAMKxVVdyLDKPmjMEvRemB\\L`<:aHJmTdMt`_IkISDig^SrZ=Ei]uPgYkYD_oRrYULAyLiygGY:mu:;BZSXZWE@ME]UukSYbAvuotEWvxyxy=inqrvkGnqUyWfwYB?SEXAeRwcsIXKqHmQT=AGFmRdCY^SI`aCY;XqqBmyvrgbOSH@OvnuFCAvN=RMib=yv\\cyFaFbEC@Oe:;j]@MVplx=yvquqljZEr:unIPRhmJtUprHRcEO_msREQ_tXfQJDqRihKOLk>QsUyjyDq]=sGdqHPNKiw]XP;HqM<J:\\VN@OHulFMnN]x>iUeyotEyGXKKlvkmUvArEytxAvlxrPeujAs?lvbQypIu=uo<UkyHmNxlhERBMtLHS<mXFiYbEr:xQfxYr=koUsJxjQxK[\\VOEXhAuaesZutf\\OYHP>pvketgiMYLOvYrCyXYish@tuplYAtExR<usUHjiHnDttJdxFHYiLlu<TnlJ[\\R[pt=<J:`s`lN^]nCMQLhM_xm[HxqhUbUYN=lEtRXejX<OWIRHYwcLJFqqgEsIuuWmQNASu`QHDPHaLhTKelUWAPZyYXtw[IKyEv=iv_yKEAPImkvTvpilYiQnENuMw@XqEmWaxTrIsAyTH=natXHiMslxSYWXMOy=YBTvsxUypU`xXyUVNAuIunwxUxURitvw@knlOmDjKtK:<J^mNd]Xwuw;YNcIVAxSxDuRyoZtvZIlwpnrXN^PqTdoYQxCIlwHqfAvXIpeITyXypIO;LtPXKLaQ;itr]Qx=v:IjJEUr<UOtRwPqp=n;IpAXuPuuOxyEijlytcYmylQJyqAIvd]XtiUQaxaHnCujhhqJYOfaNtyreTMHuqeykwIyMTXi`yYYOCqvy`qlHVfiOilXZIr@dUvMywtYYMyupyaQtuUvOuJwmMN\\jPeoTenYuV<TTX<ZJHmtVlHOt]IZ;ocFyykqnLxsGVv>VMKEouyXwFlgpKYjUyTGmus\\vdYqXpMl@vQeqT<QQHNw<Nr@khDOUIWVXt=TqbEwXPreQS`pqKMYguKx]y>tXd@PriN`ir:iQT<ykqolxKKEvGeufut@LxsdQm@xQHyEdoRqrTlkuUMGuV<dsCBlsdUOtoksNiIysCWYy`QwAkstssvShtEye;w^wruWeI?FQ[uwydeOyxQXlyUi;YoQwXGWOkbrCWXSrSUxtgeyEscYtQwisIyrYWu=IHygxeY[KifIgkeufsChuv;KhIWioQIWcWQegn]yjQhaoIUoXXOFyituUEXKENMY:<NMHVZLLq\\xn`YnMXXilMUywPxEYQPUwkMymlni`ywyOYxyKatCxVJTNHaX>LnMdUytvIukFhurAxWTXqXxjDwtAMCtJT`jQAYR<T\\Eq`qjkt]]irqgq_XkmNqxqtWwlwifAI[wvc=g^UyhlYdiwqxQ`LH`L^fAg_IxcvvgRIgiveywxUayXi]yGqey_unstpxqxnw`y>Y`\\qf=xmLieqqjEWethq@ilS`cZp`;>Z:Xn]at^N_:>Z?fqC_b;_dPfuihel@]Gp_d^w`nixAgdyqyUUYtOkVjahauRQkUM]HPcGX=YWuxFYdA?yvGWYoiPwX?iFasxpssFGeuIWIqerySygUkEs_sFyIcwqEmkF;iwrwrrwDaqWyCY\\uw?Mx`IxTusX[wFiFwwy>ysVoxUyt@iHlmEWYvF=CPCs:;B:CE?ktkuSa?TtCXVyuYyT^sgSCysyXxmXxGyMoEiqiMcfMiGJCo>YlLaSU]tgQmQlpXUnPHLGmp]auwMRPxmmuuPYX>iT>`UAYUiYXvLukmjMAjTlqK@mCiwuAJ^aJ:^fDF`KVvbwega`Oi`ZNm\\o]eGomFr<><;BBaSVcBLUElAUEmVl?SI;sC;B:[VLuSVcEOKIMMDgUBpErB[V`CfpCrrSD:;BBADJqYlexqiTiihfuIroVIUtGirToVW;WhKbtaySEUSedOgdWUipey\\YciKehmEI]IkaRTWCTwdtEtS_FsCR=?B:;BS;bVqV@qhqqhJWhIEUPQgmUtGiRoIfdysXYu<Ux\\YYoWRAoCyUyUyu@acSSdYweYaXmAiyuyxMeEK]?HmJ^wLaZ:>:GrmsHX=XGawqoHxiyWKbT?hVMrB_vnsFnsGxwTi=i[qbakerMvKyRYcSQqT_ic<KggcVauVYaXMiSoirF=C[;f`;B:;d[;Yp;RZwEG=SQ?RyKW:SW:=:;BRGC:<J:>jS@:;B:lf:B:;BJuB`MBy]I:;J:<srdmC<sC<:;bFQV`;B:<ZBAa`OZoH[:>:;R@Io:`]:>:;WV=yioSNSHJuyxeYiAiqIRb;F:<ZJw]R>`ZxiVA[GacNvuQWlEobxysbHdyF[OfqMgsLoi[_fg^h>hmAajbPuSFp<WyAym;ibE_wny]]ApPIZPvZ>Q_ON\\dqfIGn`H_jXwtFcoiu@paW^\\PV_gGZEX^uycVXrPWrjPeCnpdqaHax`>tZhhFIyD>e_V^n@kfuCOWaagDoXRadX=VtgvKkS?McpKYnGWG]JRUQndn_Xjo\\N;TP[ERPlLpyTS\\x]Yq`AqrDoTdy^UYlYQ=HpD]SPIYPEQf@vCiwA@qxQScpOv]vgPxHYS^pLL`O]PoJxPQIkqdvnDQCay`lY<LNB@VvHr<plvxSJeO=MlSLKqHlF=TxUWkpLyPu@=pALm`HVIUokXMEUVRAumlpmhrEtMedtFDxGtWStQSlj[ettLV<eoJHOwpq:QPiXru@SjqMeeyDXLYAMdLuttthPU^lQbqLTQL>quhQUEaOnQx<yLIXs<IO?AMLMW^<oGluEEwTQMdHvUdLpiQ@ImbPxOYW[AQuQNReLlpQODlXHXeUurptOiqx\\VqtSYlSVhsJhV\\QLHpoP=NdiYRprLaNt=PbpmeAmqAr?Eyo@YGEoclWohYW<py@TL]pBPv?UKY]nf`nWpXTIWmlVv\\ushX^\\YE\\XKXlTISKuOsUqdLWu\\R`UXoUOWiS[iv[usI`r^aXn=J]\\M@plvPp]pyryoc<MZ`nGHrOylqqxhIkYPnSPWIuyRwosorQW\\gxudGmhyt;Ow:qhCnwg?mW@fMAyNpcgH`]YnHimo`wfag=@vQqykQhap`K`devjipu]QgAHb@h]<yjT`tYHjLvj^`uOyg:pbVP\\sf]oNgM?lTFvoVesggvhxanm<Gue^aDFe=HtUOflOhkfdWisJwrZFakPp_QqFOZxOcO`mLXcUQewpk>a_LAx>ql@olGG_Gnq;XaoptPx_S?csAogWupHl\\Pn\\phgOexF`uIsvqwAy[rfwNAmHPft?eu^gJwv?ypdAiiPfhv_jxbbhnEqqJAxv?jUpks_Zq>nJF\\<GaFhcIYecP\\Upv=yZPxsDwm`@euVf]?d_vd?GoQQ[Twud?gJg[CAhGate>efHn;WoeaeAQ\\exkTfjLQ`r^lDie[W^FWdgQo?Wtryy]qf]_l`YfTYpsgfogdOHjHpjv`qvVvfIumxuvHimAykYvwybHO`knyiN_dn[EvkZXjmpbqncGvg:Xh`NlhVf]^bpv[AnpINrBAkLAc:oexPs:PqjhhnFaKHm\\Ahfpl[napyZ?QsqNqa@ctyptwdh@eXytQY[fi_c?_EIZeh^ZwmCHh?QkOvwYyqyAx[Yr=yjIvaxCX=itUWnccIObK=HDkR;AGZwFJwdLcBP=SlKHl[IZ=B:qV>KTEMXr?UB;B:<j^PNaLNQENjDB::1:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlSWNGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUrRUYqLSUpQ0hJTERSRU5HNiI=JSFHJSFHDet er et ret trivielt svar (angivet med bl\303\245t!) Maple giver efter man har trykket p\303\245 Enter. Man kan med fordel undertrykke Maples svar med et kolon til slut: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 trykke p\303\245 Enter igen, mens cursoren st\303\245r i matematikfeltet. Selv om man ikke f\303\245r noget svar, er funktionen nu registret i Maple. Herefter kan man nemt bestemme alle mulige funktionsv\303\246rdier, fx funktionsv\303\246rdien i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRJDk5OUYnRjktRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0vJStleGVjdXRhYmxlR0Y9Rjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUkjbW5HRiQ2JFEkOTk5RicvRjNRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGPkY+RkBGPg==print(); # input placeholdersom f\303\245s efter man har trykket p\303\245 Enter, mens cursoren st\303\245r i matematikfeltet. Hvis man i stedet for Enter bruger tastekombinationen Alt+Enter, s\303\245 f\303\245r man svaret inline, alts\303\245 p\303\245 samme linje. Det vil en del nok foretr\303\246kke:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUkjbW5HRiQ2JFEkOTk5RicvRjNRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGPkY+RkBGPg== = print(); # input placeholderJSFHJSFHS\303\245 999 afbildes alts\303\245 i 2999 ved funktionen f. Bem\303\246rkningDer er ogs\303\245 en anden m\303\245de at definere ovenst\303\245ende funktion p\303\245 i Maple: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 er der en fordel ved denne metode: Man skal ikke til at bekr\303\246fte, at man mener noget bestemt i en dialogboks ... Umiddelbart kan denne definition virke m\303\246rkelig, men det er den egentlig ikke. If\303\270lge ovenst\303\245ende sender funktionen x ind i y, dvs. x sendes ind i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYzNi1RIitGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRLDAuMjIyMjIyMmVtRicvRklGVy1GLDYkUSIyRidGL0Yv. Det skrives s\303\245 med en pil: 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. Men vi mangler lige at kalde funktionen noget, s\303\245 vi anbringer LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMRjk=foran, alts\303\245 alt i alt LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInhGJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUkjbW5HRiQ2JFEiM0YnRjktRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZVRldGTy1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl1vLUZZNiRRIjJGJ0Y5Rjk=. Pilen frembringes smart ved at indtaste en bindestreg (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkNGLw==) efterfulgt af et ulighedstegn (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEiPkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDRi8=). MFNWtKUb<ob<R=MDLCdNNZvl:HW>T:PVrivbb<iSTAtJ[tV_tK?DBMTKAdG]SHgcGUcFWSF>iVhmPxhNWdSq\\Axswx`w@dL@\\D`lJYgbOd<>cGfqBGlhN_kF[JNc:AL?cGCDO[EK]T^GG<_CD;IZAwJ]Vf?c\\EV:]TfQI;mBKcXV[E?qb_MDSUW@yHimuuUx`yxAiiYQuauwmuxSYYYghh<SxIr<DV`\\o><R@@TfLkjYx\\]r@irm<p=@J@<i=^G;IVawf?d?kiK?R`?BYkH]SU`aBxiRiog=;SxqiDaxISVjxyIMsVaOK@]J?mFxvlAySaeSv\\CAawvdVh^qxcCAmp``GosjNcHQ^SOjlndMXhla_U_ipIm_w[sVxl^jvF]EYhHQv_?x^auaVvGHaLnqFHlZG]QvvB>ysP`xp^]WjnGc@@b@yg^IpS^iHo@Kc^shEGyVaDSSUEAe^KcF?VEAYX<X^`vi<YcyLflvaIk_yj\\uV`eOQDKLXT>aKMlocTr@IsChrjyvaqnmir\\mVRtjUprKDxR\\wFakflkjEa`wsvIeNFigG]lP^u>urFar>`gg_goqb^tygevYmLxxpolX_jyowS^bY>y=qxQoiSh;[gcEUgmhxIVUMU?pooAJbhuxYr`=pQNklpqoo[wGhXNqvoeL_r\\a_aW_e`uVaeEGZYXgcv_bywtymHvi=wevwsLoqWyw_IfrWxM@aL`hkVbXw`hofton>_rBqs\\Ahsa[`ymA@yYvZxihXn\\K^y^nqBx_Nhb>Ws``cZ^cPhpU?sM>k?Fm<oj:?yYPmry[=qy^HusplCPurI\\JqlROZ_H^T>bxo=KcD]BBMrXCuD[xuuu<GxKARxUx\\]X`kVaqym?fyuuOkGMwIlgBCye]AuKCdFkg>]dmSi`siP?BG;C:EDJAbt;t@Ky:aBjCbg;X>koA<x;DjZ\\L>Mjr<pR<X;MKBAJ\\<lELK:QUJ]KDErP=pM\\T=PQJAKTHRU<QFLq:IPjMMVXJQ@r_=P<lw:DORtJI=rN<Y?lVZ<K<QR^=kDDo=MQJHN^mKSQRf<sGLx;Pj[@KblKD]jLHN[\\N;PKZhXJEONmKOURoATm\\xg\\XNLQGdeGVbq@nK?gLNyONiAV^jF[`HrT?pK^g?VpZwcr>[H`jQFrCAxl>aYn_<xp:iljWZv?\\hajIWrQ@vK>eDva;xnK>jJF\\tNnE@`Kn\\<qb<Glr_^CF\\[VoJP\\^PZc?bTAlX^nYFqD@cKxnBYeNnZ?gbk>dF_lENsYf\\?Pv\\pl[pd[p`]PoKwZJgmbpaNidNA_dO[oI\\GobeOnGItHAWcEEoS@uv\\WcKiDbqFnuBtaGt]Bwkcxeb;AVbAE]]c]krYSDAGS?ag:aW@aw@ah]mS[mbkSVRGWfkDeocosrtOV=EhV[gRSUFgg<qE>qe>qU;qc]uuZAcrcEVgGHyDQscMKvDCXO;iP[uC[uO[u>kW@sg>wH>YI]YRkaIvQXvEExGDYYbYKrIWva=CDaB]MbeCFL?dD=UE=g^[hKksLkwLkUJCc>eI\\WDk[eb;FhGFPMDICDIYDAEciESNKdSCcGMSZCSBUUBUyCufBuhBuGBaVlGDSYbVsSPSdq?dUGsa=sqIsi]DbOCPOC;KCvcbOQCoKCWOCQ]DXGG\\iDGcDwcDQSG`YGP=GXCTVKTvMg>wTlKT\\UGk]dPEGOAGWcTtGfncgFeTpGTHcTHATXagVQfvERsID?SSkKfrATr]d\\KsxKsSKsRcD[OwMEuNmGoeEoGdtmdtkS=AtFGW;[hNMUccwUKuZcWDeb\\OVaODgOdaOT]OXVeRDuRbqRnABtMIw_cx=exeexqSOUSOYTOwgtGSogSoQcdYWoGIdmEd]YoODooXoGDowXdaCouEoaHoiWdiUdyxn;TTkVTCvTCiTSYnksd]IWWRUWvlsbusf^ms[IIqgH[eSmcsBcsOKeuaHA[Haghnghvahl_hd_hHAWwct`WWu=WaOWiAtxCfwCg=etkUtK;wfAtsCgmAe[OrjaV^WHdCEw]cccUGeUyeUCoWwowZowFoekoUNoU[oUuouwcY<oIEuICuYAoYioyNGbHGRBGR;GReGrgURvGFEAH?AXQGVyGveUF]UfRSfGkRWmRI_cOac=[cmicUeciQeJgSViSPGen;eVUH?Ael_SMaSqUeXmH=gsfisL]sd]s@_s[UXASX;GyhUx[UCngbMgbJQf;Qv@Sd>ax^mvjSUSWfP_XEAVEQREqGEyVPmBPExPUufOygoITUuUufUuHTuukGfRaBTaDTaxRaydUW`UsoggkgipsdvstqmwdIiWYXYWuSWukiwpAuWahaOuA?ui=hiihyAvZAwZKXbUXR_Xn;XF]XfgXvGr\\Gh<AUUGUaieJqSXmSegeHGIwgXp=XPSIYkXxir?GwLovLQvlAWXGxvkyvorsUVhOYh_EQQYQEgUSrgCtgugU_tWutWWvXAvxAr=uu=wvKavkCvcMwSOws=tmIeQghQ?seWreiHUIewOdwMsUCxpYxhCxX[x[?y>EyNUyVyxOYxGmxgexWOxmwxUEvqMsYcwY[vygsyqR:oT:sHZGIZMGJIHjeVZuUJCGbERJeXJYbZUhZETjuSB[EL;ElgI^qwvUrsQrsiU[?Fn;FnUYbiijSvjgV[uuAWV<Yr<YW<yE@=u>]D>]xi;fh;Ul?f_Ere?Si?sl?suCT`CTL?gXAW?Aw>?w`AwQIHXIH_IHLAUe?uOGhQOvnKv>CXWIxRAybhSkYtEdYPlwV=QX@VY@TV@XwElkQnvhRQlLe]OHuUv]YCPvLlsLXNC@w>Am>ql>yxV@THUJaMYc=rLQu_XTVmPquLqIKIYjqXjqDsqevQXxaLlVUlDYlXdNupNiuSX`SkuSc@SsMOZUKdhJIYTwYTeQTYun?pngySualXTlXqm;XsB]srLO^@KMajwEmTImsEm=IU`IU?IULiVHYspmOUPL?DkTPp[`w?EuWQVT`waMW:MV\\DUiDMGIXEIoCIYMXMWXY^tSstSRxPj`ufEy`hvMDyxHyYuo:eoZqobiOJiORUUjLqLYX_eyd<WOQtOeqehxQuLgpMYUvqpv:QU<Qunhpy\\LTuLPxLx`UQTphxnBUobeSKAutuqoio?QK?Qn\\YMU\\Up\\tg]Rg]Lf]MVaPqUTOqnIhNvPlEhnPinOdniyPmuPY]yDqvePsipQgESTQPRmvJmpaUO`UojUwoiWhYuH\\letlaylIhWIDuXIq=Hp]`VAYsWXSpmUb@pe@oUiRRiNSiNg`Kh`whPPbPuTexxPQ_PY^prepnwpTmpXMeweiuvhuQmxr]wcUoMQoedouupQ=pqqVwxUwuV=HT=erx\\sx`mwuKUTnUTyypVweuVanKaTTax[uqjuqnAR>IjxpVAqv`qLGqllpTrhTLQQs=P[Av_yWvxqcqW]mpOypMYuEuK;XRLXRIxqG]ypQy[An=iqA=UAMuxXPvqopXjTITLIKomOiamdQScQlpurouKYdKvLuUYvLYtkiq_yxuykcqMeHQhPXv`w>Dv>EtCxSaTxImSYPstdxnaXlIwkpu_dqqms>qmsptQluq<Yp<wfIymmqaqsnYYpymvtwtmyRiJaYKAuOlpOpeUl=qNIQZuQJIx=hyIdM=pK=hm=mk=euQhmhtxFtsUlQkerwQscYoXyTIiUE<qpEW^myBAxoAoeyPi]NVAlXavWaYnUOwqtmYustpamwfHqEpqUMXIEwXerwesuiKyLmxAuhdXJpMYdxXdMr=pZIrWHPhAuMxmlxYtuQX]xJ`yjPV<uV\\HyKhw]XVMpqMxlYtOv]QxaNeIsFYt\\ymOxYhhY`MxfYqY]QxEMRPkWPMymOtmycytGyONyUfyYcuxlxXt\\Wtqye`kQUPiXSXAoyHQjqloqpyiUFYqCHmVyxRyxOxMFuQnaYFLyruxMmraxSyHjuMrsiyA=QmdL:R<[ELmtVn_]>:FZrgnynh:>ZZ>ZC_b;_dr_mfiu?>iNvtQqZjYd]@i;PbEp\\c>t\\a\\QQvNvhqw[hfrCn_;Oj>PvhAd^>gk?_hfbTOkUGl\\fbT?nrGojiwuGypwyCoh`WpCohPo^iywsOxjplWY[^V`aowwvxVxhYw]Mxt<_b>_b>_fLwwtOICDKCDKTNk<v_LN\\LN\\TT]=rE]R>]R>mn`uMjqNg]OLtNexJ@PR>]R>]RNdRIqSE`uS]LdINuAjqlSpDl>dNWiP^LN\\LN\\n_nqlWY^FGgZN^\\N^\\Vd]?rE_BLNM;\\R`pr:xlB@kB@kFek;tOKDLKDLSPM=lU\\LN\\LNldP@\\q>]R>]R^MWF<YC@kB@kBatR<xLDLKDLKH?J\\TDJ>m>jB`c=:?cF:CDSl:Bl:@CZ\\VDZ>oNZB`CZKFMA:DLS:LNl^;J^;FL:?sN:Cdc:KFM:]R`H:N^l:LkpmwWYYbtjItmLXpauoBikUtX_Ix]ynlQyo@SV@QkdNCMl>PlhdUDEsMxNM`VGQmXmuxUygtSItlF]vYyYyYlMunhTsKYna]vDilUMxuywI`v?Yky`vWxXXqlrHX]USD`LC]NwMyNMlitUPESMpNSxnAXWT\\KrSNcGv_YsQSPsGXaFmuvhWdYkYrcGyiyqQIVywsAy]aRLufHEEcAt[ocvmxSMWq[cL_sdAukWXlSX`QWSUipudVyiyAscwwCeetCgNagSMST]hbOGSMh^WHr]b`qr:wdBDmXLJWqqwuNEisUxx\\\\xwuXiqQJHSMplEatcXO_HUmPsL<MRiTLlNFxVJAOCakxMycQjnAwK\\NYyYy]P<yuueytiMStQxEkF=mj`RdlTfLO]xRqmlFImMQMjLSmYV:YS>_ceIx]yfLaqsAfSgqtwdNpuAVsJYh`aoMhgUq[EqjGFbLX^AoZQfkJ`sdymyoyOHv=yfUoq`AoYxmb@bthsqwugYlgVeHNkyxiEF]j>noPc;@^aI`Zi>HO[tSq`UspkdmjGiTJxwuivQho^uvHIwdtrQ@SEYpauO^pWWqqlHX]qYQpqiLjbIN=mVCqqwuN^<Qr]k^<S:it@tVk<v_L^`XxbItMF_Uopw`yvYx_vlyx``gke^dba^AwkhNlNIosHoBPb=qZnPkOVqBqmwvaTnxS>cI@_T_pOhvIIwdWl_fjIHZiF<mf<GUjOuoWYeqBuGh]urNUe;Ov?Yc]sGYmy_OxtuEv;YVCfIAr`WftixuIsxgYm=in_SpsgYuiPoRGOyUKEfQUWoIwYcNWGQISpuwXGWsIUHgWryvsQI@[i>@sNmJF<m`TQp]MCdxRMsNxMchmhitdhLQ`wSYPRiJcxlituJhXeqxBaxcYoftpiMQoIQApKWPTUHutdXdXwlHpMxW=qJmtRsQvieq_LlpdWDDsNHOg`YnIT<UsIIvuLx^IsmDqtexphv<dw\\`yoytYILtaqYtYvtol]tQmoVdWsuWPxsm]j;tOKR]uuxwe^]sRgBpWykYvAId[UrTISUqhocF@]cqaXywCouSuwXi]FWMiNyTOEEtixU_gDAe?wBUOdTuhhoGkSV@AXCAyCyX[ofhkGp_h^usXoulYHRUSdoTgkFCYdaCtvesmyvict@aHvaygyuyMrcysGkCxqUg=gfetdOU^orWcUj;v_K^[itexqgFraAhUgiWamsV`DQkOVn_Vb@`dHwqAYqiqq]futh`JPb?PpEgjDfm=ico?r@AqZAvWPtjHfsA_GhmvweipeMfdxqgB?cWH]unpU`tfHel^uS>e^PuZpvmnqPqoWi_gQuG`luvhxAhtYpe_tbF_CP\\?yknAyGqk;v_KJ[MsNhllEv<iXoUqREpVMov=U^UXUTxaysdTMqlSNPL_\\y<imciRjMr:xPtURaapoTW<unl\\texTPmVFAxQUoFDL?`tU`YsQpRmyfqOAukXhKqixItMxDlkYvQTsjIvgYNvIUKiJ=lU\\^VwFImeE=R:aUoUE;Qw`gSYAgSShb?GJ=FU_cVCuKMioUEiAxo=wTqRKYu^IsEYRomw=MYF=VZudbcvOQFoIVAqccMTp_WAsfxmrJirg=v:qtHSTqMfmkBv_ZIYr`IpYyiy_npvngHemn`DIrhhdAqkogfDalOn[qNpWQqowcon\\Zgp@@wCFqqXsPhgohuiGulPoFh]Uit_vwGHu[ixey^BomvfkNg[bwbJGa^Wypy]^Pf?Q^hFyfWp[?rE_BwS==hsCWLyhlqxUyWCQr?WR_CUlhUpquBIw?qV]\\p@ht=Hmw\\lqTkMtNPXsxtlvuJ<`Sf@P:moVumUmOJPyr`xwITGIVXaq;MTt`XrIwDTQqmM[=reXj;tOKNxc?mSgeqpgvP_Kad\\`bXvlyxiOP_?a]@^qiiqqqo>Qk_QmSffliab`o:>qrNmuvhJ`qyqqeYdDNcOPsaftexljt>Wr<yw:CW]=rE]jvmUhauS`tQHLJev[DV<AYdUVJplnEwL=oSiVDpmJMKILmoTofDQl]Vj\\wmMYqqWTlW:YktMt^hk;tOKNnj?n?@pX?rEP\\`_fFPx_YacpcrodsWx`odm@oXQZ_Wwhnevpoh>itaxcofbyf[W``onFGg^ausXgtxo;WcgOt@AjQLNlKAEyshpeulkUvBMnQXkQtYOeKW\\oLtNH=v;ItRYQmmvQDYwQU^`UsPjlIwaHOGtyvPKOLkr\\KruUwPyAAxk<ydlJv`bBPr;hccOeLgntAeDqlg>v`ItJxpBx\\inknywYQd?NnhAjSoeAOf?QiYi_]Ax?_[r;]ykyrYOeIwxeyt<gvBQfk[XmYrQWiZgBpWFb?w:MuR;xLCLl=vSYpQLxeyoq]wXtRxdNdmoLDqEyrYtNl=yvMunHOVaPLtu=AjQ@[KXZbgwTNpEDRgtWwHi=hdCS@]vhCH]MIHEUBId=iYmgsxobyGg>mGnuyxYROYTwaxcyUNacJAd[kYhCG@ucHKTbsRmMv>iROWSB_i;QcOScdgEEaR^]goUwpUuwkHZ=Re?XmIGC_UgirEcwVMXekTFCtAAbQ?GL;XJIIqmwd_evCYCqDZqexcYSmWYqyw[teqGV=ihOC\\yRpoRaYsQwg^;FZmgFwEy?UXgIuEEdIi[SR`ESuqxogVlavXETdytH]RtAtpkXCQdGIfXSgKUf>_CV;uTiGYwcSgveuthUg]eCxosVGi\\oyfXVWDwJInH]lXYMAylsUxPYsDilu\\vvIyemlIQyIMP^=y>e^bOunP\\IX_X?wIyAOiIIVoGfrEXQyHXEHEkBv_RH=r@gdcSTP=gZqDaSeYmYsGgTIe@wBW;Y@oCWGG=wBuiRrYHIqewOGoUwpIT;ahXGgMuTDmhfEw_gWUQeKkYyMFDsufIueevxiyAmhuAe;URuQV]Kb;Ade[RPYVGIum@sMyni\\wXUu_XsRep;HwexoDlRdYpp]wrLNxmY]LRO`y<XqquMBqywyN^yjYlSEapceY]dxXaVVXOQmWdqQQMp^mUOAN?`pk<f^ajeytyWl;Wj`_bdYiAx[YX\\[ax=hkUvxEWj@nylAykYpjweu`hcqf@^q>oZriwqxu_?sJHmpXysPhwogsiuV@wL``_@l`xcInl[Wr`Gug@\\sNjEnw@gk@>e<Pvig^SOp>qcyw]`_kA^[RP_]pbGypEYcHVa`p^GO_CGr<HuVpiiO`XndPfxnngVGrGX^kiaF>iC`m:hmiHr;Yf^ngVAudqyMynIidqym]yrIIoS_enWuKYjMVduph;NhnAw\\vn`gj`ysYA^gXeIvlyoysytcHpwNi^xq>ib>GlmQwOyudQnMQyuhkShuGV]<`^;OZQysZH^Yy]cVcbF_?xuuy^IomEyuywjYABmWyurHWfgsr`?RaoIACGFcCUKyEQwOqcUYtTEf_mG=kUiQXbAtccsAITwGfPegLqWXcciEV:YS^aBfSDOAgKMTmII^AyG?EksR@mcVwftkwbEIx]yvOICatfGgwqEP=UxcWMqVrowuAWCudHgVb=cVEwiwixqT;GvhiuAitw]NReqt<T\\urHHWByv?\\Jn=TYmTr@S@Mo;qsWxR^Mx^ivdtWQuKHXORtVkQvshMxmJHXTOXOqUliyqyLwnAqRuURYqZmRxuwXyMotmeatcpmvxyxYYhmMKxW[=rE]L?=QClkRDt;MT_PSddwTikNiYWLxgeM?\\qeuthqlphW=\\W;qWFAmk\\njEvVLoqLyCYlQhPa]YJiTaXUqpjKmyu<LKYMqqww\\lTeptMsxhYa\\WIhwYyyM`xfIQKMYqqWdtmvMlNAxk<NJasJHNOPydetdPm_Yp=`Nb<WSpweIlX@vb<v?Ip]pRGpmKLKpEjO=OvXs;XJa\\PU<n^<SJtTgMV^trR<xLDqBLxbEP]TpdetHesayXiqQ`PX<dpliwjHR_HT]pyphkjetdhLQUM@Ml`dyJeuAqsViOUmKd`uXymymqbponIXlLwSYpC`YpIUdUvxQT>uyieytiqdyvktUx`OXpMDHV<XjyxlpwkNGbi?cBw`:iZeawSYgNgf>Hb=PuByZY^roWsRpuwwxWFmjFnuPap__YoqWWxoVuqx]PX]qnwdPh?PejHagWwPYbdq`<Hw`fcdNc_Pc?gvHimy^tkVgUqp=Inpnr?AkkqoF^]RqbD`\\CIwtyqJfbTQkONuyyyrv[rXwaItQH`ZmJAmkdUNaSgpTxiO<`tOYoyxpedN>`qt\\T]=pPhMeIt]Hp_iYttjDyx?IrfpWWQpdYkBYLLqnGmOSYpQYT;tWapSoenHemlll:AsVTSb@WfDtqxw^TSjyvrmJnitexYfDraQToETutYxAVoXOXiU`tShiWs@ww\\nSmlDtrP@vZimLipeUJuxv`]sReOmqvg=TqXLalSZTOQmkHdPU\\kLqjBEv:mqhijEtt^lTf@mLmnFmYWAvS`Q=dnjtlgTuduxrMsNNtvyiaViF>iC`eBFb;gLydtWe<=h;iGf=ru;WJaXssXhQetgu_WSwECFhrbIVLdRRLsYIV=TLpdsnlWv<TgDxuIyOAlphWeEuPMNvEKlMUqdWt<nDiKTUXoem?HuNQp_UQBAqkeuNywfXQZ<UgAt[pp>\\JFYtvmMQLu[UJY\\lI]wXiYvPqW`NCMJEyumml^msVpthYYKXySMqnmQoiRXIK;qoPMQ==VZuT=QXEis@HJiDlEhtixUHuPZirChxSYpQlplpRAxKYPpV`PQToUAKNxrIxyTiW]aND@Of@PRuXCXVs\\MGySjHUMTpwhmuttqQyHyYB<JKeJ?dtOmxfIyKeJwHl?`x]poWurcxuaqYwQUr@XNPyTapcHnuHQpAr;xm_Iv=_go?ekVwUQp_AdoPh>`eyikUvqKa[pGsuIvyQh<aj_nhIXf?HnXgahPysVk;v_KXk[ol>FilOeGH_Jpq:hk]flevicpgqvgx^bwp[Op\\P^_RN\\cqkf_bhAdx`i[g\\^ij>hfxirEx`exo<fZlPoWQvoPgOPxDahAX^AosbPqRqo^ywyfdLp^G__gNeNGhcYydGcWPaSPmcwr`ntj@l@gpgWu[VeTYtnHgefdJw[mnfrYiwirBFwUGqlWqWWZ\\@akOfDasSpyXN]Kxg\\?rE_v\\?oMImavc`gtc@cEn`B@^ZiwYyidPgaIkZA];qoKfxwFkVG_]orI_tLQadyqdGav?ynhvexqdP_ZyvQWdwGnx>oq@bO`lAx[qGodhZBij?g_g_\\lybaGpWVax?pUao`aoHf]@GchauS`^AokFn_XFpwPt_XxeoZv@jGHgB>iipewh_wOyFOdIh`eodSh[C^iRn_^ObpvakP[B>wbvmxOmLYZ]NxW_[rGkF>dd`dXgu:x\\afn=xZIOcJ?tLghyXiqqbVi[Goa=Vs\\Yiqqy^Axo>wRnjHaj;FZmgd:ntkXfWwoRHf>aomhh`IaCOl>Poov_p>hoXgQWcg`pZyhmorF@fOXgiAoEFeR?egHgOQgbhvqoi[Hve``B>iAykqxeXqjgYuy?p_P`ZPw<NcbhZ?fhq^hv^ff^dAFphIxjP_Uop:PurNcKVr:xlBAZ_Pc_YtWaelGwLi[Ogl;v^RacSPtBAt[hwVaatvvZ@xwapcWovfaFNxl>sWihPnhyy_V?qKgisWitXZPOed^db^oxpsXhqdp`MPwO@]NQhfAusFep`gE``f?eXArKOkNf_tijvxxXYqThhsH`]gu_XcZ`wTihF?d^ifHam;`_Qgv=qwYyibpiHVb<w`x^oBNaMipMPb]?rE_f:Pb?PhbprK>msIt<X\\MnkQWd``xkQuhAaRIkxnhfQ^Iw[=`c\\^gtXZ`giMf^DxwcIfcOrfn`Dyh[>h>agcNd>^mknfFQZ=YZXAqkWfcHul_oLFgS`asgjtYpkWvD`ot@v]QqnG]UNoo_ahNsP`_SFvMhdK_q;VZXO^=>^RibJYwbXpKNos^lbFlAik]P^la_V_v_oSWdVGIySxC_eo]yxmerChFQD>qxQEWHCv;mWgKWtQEWoi;gusQY;sGZmTq]xbqs@oc[[FNMg:UVFSF>geCqRwKuEydi=ElIUcMt^sTGoIvGBDas?gguWIn=WUmU>aR;SBXlJ;ISCuOZiRaTnkXVuPqs]RKTjSmo_Us<\\Qw\\KlQP]yrilT;eU>=VPMpCUlDMo@dpihl@QkYtQHhNrAMaEKteyoUQWhjnpXgqO=YJX]J\\qkdhSZ<Pluvf<NpLv\\hXkXQZuW>mjFdtGDYiSUgFsMx^kbvwX>]uwWy:ehSwCCCg:eYuqHqAtB_s;GBiClrLmwhRctNius;Qr`pMPAY^@pnPw;Pw;qOl]XlQRCqOY=mKit=hn^IYmqJePtJuVHaUk=yTAkpDpB`k<hJmXoN=O^ASeERXLPsqNfMQf]ur=jDLYgPX_QyVHYup_;v_KHbjVsMv_X_gsOx^Iq`Yxbfj>XopO^YGjGplawstn[rAhHo_Mon:PmGioNGobHgdWc]Hi=NwSq\\gNuLWpkYjOIsMxlfvsyp`n>a;AeD^\\BqfeXpUn\\Li]JGj<`iIAwKYxOgpGV_np[Xwph_auHos@Z=ne\\VjZw^oNsGhgXaiJWxs_xhxf:Ycx`vaxmh>olwdT_ocW[WVaPIlFGmvW_gGrSgjEvvJg`nxtixueXyT^yuauyxyBgw`x`LndJ`x<neV_cqFgLGtJysavt=OgBAj;VtfwxKXkwHh]abO^xL_tk>v_N`JncDok<ne\\velHh]hy@i_m`ng>aexfIq^HVZX?bsF_]XZXQv?IllffYAl:^uw_gCQl_YdSFAAWBYYAkBh[dAsCXSuhYfecVeqt@avjqrIwwsODh=G=CUyoYySUAoS^_gfoUW;GSYhUsuFaFt?V:YS^=FNkYQYb_wSnUY\\eeFMx?;U`whhQEqofg;friY?OC?]SMohZaCfOuZUvWKWoQwsEylyG=yrKwIymTOET:cerOrt?X[QeDKiKwbiqCbArQyfIUH=muumtfgH[OBX]EMectaGIERTYUoQwWiWyuSeEyk[WvmFQIV:YS^lthMWT=X_tkVUqlivEDqk]R>El=Pk]tpheuMUpspVHUUjmRgPU_hVbAtSMqIYNWHsb=W?`oO\\w<LXFxKV<ySMoOUOh=yr<Od=XX<rFqWBqXKAoIqkp<u^QUF<YC`K<PQD@OpxwBqywyQk<v_tmJtPh]WsHYmUPQ]NflqtQoZXr:xPH]mRmjxmQpMx]hhA?lAYs:xtuihha]bV]qnwqhuAGcsvayP]X^]KHik>V<J?QtuuxxqRWqrlyoXqohmvkQli@rLLQwHlmtV@el@Ij:YPf\\yxxNEmlRAtIyUt`Xm`yrYvsujiHvkhruINyDYdatOppuASKLMj<nOxJA]Vh]KrCR?IkEeV]irYgtCG\\UdEAwKYCnsUAOBxAWy[cH@kByPZ`RNLXCuoWUyGqwsxkylyJAtLLTbQWPyoYaLoUMUPVKqyRUKdLWZip@uspTT^aOR=xWhWL]JdytyQS<Pjt=Yj]R`yr:xlBirheutxWUmwfEulPmnmwVuSq<v?=pu]xbIMcLUnYKqmKK@k\\@OKMnI\\P=luilqrasJysG<KRXOqlWVip>LpkdVKQn[MTZ@RMEqsUxXhueApDajh`VVAy^iYJqnthTeHVphlyPX_QKDaysYj]ht`ySI=V:YS^QVYuYwlUgQqG=mjlm_avNIRLtNH=NcMt^TtvDQ<llXDMjQLsq\\m@qbQj`_\\fP]GX]q@eWqwUyp?`nBGl>O[ONs[V_P?gq`a@o]iVZXwwlxhiycLwnHw]Uqj=_tpo[Hn[N@]krv[IlSx]r<=uv=VwCyF?EkqFRib<ibmMw@[irCGKtu<`X;dOOTOPDP^YxJmLhhUuHldhmjLWYtXiquBeQX=oJmXAHJiDYI\\srxTd`t?mUv@YMmphTYpaxlHV==Lu@osHK=lU\\tL;uj_pKWlRcXusQx_ELytqTppaAXLMUl`VmpvqInv=LDUtZpx\\DLsqjYuYwXVqAMTPNRdlLApbEt`dTTlK`dSdiVEYyqobsAt[Xldo^KfxtGsmpcV@qbfvEyhlhpTxcYpa_`gWQa?go>Nlu?`Zi^lG\\ywycNhwQyWfhlGmxfqY?ov__fVadIivAySPg<GfnowYF\\sprOYoqhvIxaxapu_qGWmTNxPYehxs=abMFkhiua>oUAoIQ]l`l[nkUFp\\gqiWmo^[Cv\\[A[nPx^Is^QxkFlmqsVHq\\ffEqpQxjIvmbXyBgbSqpgOo^fctIn[wmCP[\\VkPfgN@ikQfEgkT^ocY[F>IsD:mUPavCYsOiwheuT;u?sgSQh_wToYSKIUGUClAYWGCruYuiwqeXJ_H\\afD]RHIulgrxgUr]yrIX^gTeOW@_YXurHWV^yxYyEcWVBarCgI=eIAoFQCYmqVPurZcGbgxgaS:YsOmF]=FRiGOMgggv\\gvKOiIodMYIp]SM_hcUdUKys?GqmtcWtRcTdac;swU[CrEc\\?Cs_YgKUFCTQ]tRmfT[IRyshiHrCdZUX<qfGuBnsu=CBiKgs;IlQwOyuL]gRUWOABZUwPIshUWUKS>EfGieuoshIhXcITSsAwEx=vlysTeitYYUmchAgKeeNawZ=UYmYSWs;=ruMRtoXg=vjYHXcItMFsWXqKd@ice;WXsibKXJ[wP_GcyFqqwwpw]dY;TPuxmymm@AtIiQn=wN`xfIM^pWqLWNErJysliNF<i?GdQqo]avQxehOoNnjSYpANwh?bbndfvp=AjQVMsRmsh]urhKdEudh=gTYeFkXC_I=SEMucWSIQKwk_cSsIKEBiWg[eRASEOAfREhVMiW;iJ;xD_sKaYHCBi=YAqd;WBaWsOWGq_vHieyKfvkVtUvNIgEIf`mXkOBjgVEaVCId]Sb[weEgtAOYoQycOdQ?ys_rxMDtUb;sGK]DvUygqHE=duoTWqrfKCHMStmivQTy_xRiuuwCNaW:mtfwedmIy]yrIISKH^mfTmi>qbOKFluI^arpewtkHNYVBIuYWHa=fDYfoeFf?EocWt;SGqC\\sCmmuvGrtGRekHhGvRAbTYi[EvRQXpawOEsLgFWovqQV][uNGGe[FKMfrQHn=WusdxiE\\WGncybSUpWbDUR;_BCKvDqvGYdFcCxCHcQHv=yVCUj?V=ggxwGauX=UV:YSNCSawSyQFxmY][tg]Bd?G=mvBmwVIe^kWVAmCUTEloFip<lUFQqNaoSYTXeqtyRohmNYQkEL?uXRHYwTYpQkd@VJhQumJsawm`thTsqurfDWepT=evlivUHnXtRTHRKPNsdUlIM[dKYlQUmpiuy;euX@P[Xq=amI]MQMX_QyVelwPtlhYuIVGYv@LMR]Pd]P:eJQIj;hUOmYcdRGIl]tV^`UspkphKd=qJDRAdP^Pn[amKDUyiyqymtyY<MWULtbApY\\vXiqALWOywZIrYhT?mkJhOfIx]uujHVsAoxiXFej;tOK=KbAUnlVFQJOynxYnIPLCU\\dNcoPg?iwXwjSwlDiluPoDV[bAinPf?AojWu=Vv:yj@V\\Ux`UygrGZ^Qw?hePfrhagNPp;gxA`ysYplxstFl@^Z:>e@ibAVoJP`aocefmuvtQpvGY_ACfycZuhEudkOhvEYbQYqgGT]Tkgt=iX@KBF]W`KitexP_VFAeTedh[tDIsWehdufFkEvSRWqgWUin_hfEUo[uqqGX]IqoW:Yi`eshSivkUVSUdkTfQfLqFdoTgkfxqGNcHBuE;yicksEkTRgXimtf=hUyr<Os:=GMwRyYr:wdbyy[_tJEr<gsNQDZgDH]DbSBnsYxADoSc<;ekerledoGd>atcgY_ST`_hHeY@yTYeDNiCrEhKABmWBPiVi[UswTgOuGmsWWi`OER]GYmILeBGaRNKElaU=qBu?b__ypgW=[TukuxeyT=gZoG\\wi=usYwiNoHgmRRitKqgYuyeCekSrYIwqIRs=Hf=VlosvIr>GCE]Vpaw;KTqoWSUu]=Ix[Hh]I:esPIFZEesStsws:Ih?ug?GIpACZmXKQi<_bveuDcDtSs?WCQitFIxVIi=_exYYJohWSIH?SoOWYUUhkiXMYt=GDStS[wkawC]xyATAuH^=heeDV[yw_eysYGmrHgwdOtD;d=ybZAEtoXgwg`EbWgbMOd]ctdgXQouwWed_Yf[v@SfpovuywywFewTAKSdatCQFpyD\\Kc@;hssBs_xH?fC]B<sUfourYyq_h>SB_ieTGxWQioAddcw>WcIAdJET_]yryg][T@Yg]urKIf<gU:MYMeytiy^Ax[YTPwveQs@gCuefIueCMgUOEPmcPagSSGCKDrstR?BmKYrqEg?bECrmexdXs:HJghO;mwoDmvDY?Pm?`r@MooYwa<oviUD`QVXNTlPnyTyyWXA^RvwDgmtBIuC=Ywj;v_KyymcTAX\\URSEylie=eIPEgLETOwxPCDbsR=Ot_EVmABg?hv?cdwCP=eGOUx_YNOS??F\\SYyqyuygtQX@kVpSUp_EdoGhEH=UUd_TxcHeIevCYLchsaC;=F<WuwSYHWslgVU]vrIxmIfxwEUwr`_ScYfDyX?]B<CF^AUdERjKEN[hFeYSEFJoUv?YrOs=mXPkGFWSQosiSwPiwKaYXsrV[W<Wh<qFugheurcqWNgFaasWWiXMunGEhOwRSYEOCOKcjQF@UB=kU\\wyQCdpYeByd=muh]VTmXpkWVET@cCTGDhYwjMB==hE_ytKFLqDakSfCgVEyEemXpL^hNG=mj`TwEU[UlI=sGuQ[eTcPx_`YmiSIASg`p>]VYaMDYMHQmOyUmuw:=Yj`kgasyXrUHu]IXd`r[dRXLS?mxdiPKIvIika<PWHRUTJXwyi`fCaqlvfHhi;GyjPgNA_[pfYO^UojBV]OorGXeVNg]WbR?sSi[Hn[n?eDakBpu:?jrowVids@ikytBwqApdJQj:g\\c?cByyGPsdV[Ly^JOafAr;xm=IiWYqdvmpNpuXwK^luNe;OjIxaH_fCNkAYoG?pNFiAwkXhlXtCoeXkbW[d:UgREhBwfAGvO?EjQDwyi[WRUQshgUAatlwfP[HN?EkKfw_XcQTyKS_ocjMr;ICTCiu=GmSDPEf<Eu_EwLIDFIu_KXLKEk_Ex[i:eGgsBAswFOxFWELucdetdcFGMeNMdFCELEi^]cRgEhCUlgghUYk]TN?Un?WROGikDS=CfwDh[E`OEX;FyyIfOf?UXTmcgCBLOH_yRKoyFKY]ygyPxnALndthhU`\\uDHRKiL=lU\\v[s_iAokf^lxhiaVeHO[UhgUxaLp^wAdT^`bvfsPmiOnhWq<n`N>^:pwPigVhgpnZaFeNh^eotfP`uOuMfbJNuppoVGaTgsnQfMF\\pNj[WxaipewpOqrpf_BIlIomvFpvOycO_OwnpvcX`sdXgSOmnnoy@u>?^u_wRQ^oV_Bpgg?_QgjeqvVFalNcAp[o_tiii^Od^PrdBFqVs?XYGVsusKmhV[VVSUJmIgGYmQGx@ulYsiDviPqsMJduOypYw]sMYrZ@KZ=rE]L<yjYlYZPs:DnUHugYuqiTXdWl`VChUP]qx\\NfMY=ytgXUqiTXYSChTy=J:<L:`^;_dw^iHF\\?g[D_ZpywYQtpw]e@_Ix]yfd;w_x@d:y]mFnbV`rIrAFhGFyWqtMpawO_OGi;fnHAdEY];Oa@Avd?cQ?ap_gkPwnijTNrfgbH_r:xlBW\\<feAgmG`eCWojaaKFq@n_`fmgfw_q_RgukNfPFaf^w?>^\\x`R>xLF\\KR^MWFPLKDLKDlcHPZiN\\^b>on@AjQD\\KF\\ST]xlB@kB@kFek;tOKDLKDLSPM=lU\\LN\\LNldP@\\q>]R>]R^?]jQ<FL:?sN:Cdc:KFM:]R`H:N^l:^b^C=ZB=R^:Dlc:LNM;\\R`:@kFW:bB_;BKCM@:K@jB;N^M;^b`<>kF;F\\St:JKD=J\\L`F:\\FZK<bBa<BKG?B\\S<R>mn;Z\\N@Z>_FS:>S:]>JKH?J\\TDJ>m>jB`c=:?cF:CDSl:Bl:@CZ\\VDZ>oNZB`CZKFMA:DLS:LNl^;J^;FL:?sN:Cdc:KFM:]R`H:N^l:^b^C=ZB=R^:Dlc:LNM;\\R`:@kFW:bB_;BKCM@:K@jB;N^M;^b`<>kF;F\\St:JKD=J\\L`F:\\FZK<bBa<BKG?B\\S\\ixltgytipVvaxoepawsn_awsXGlynyrYdXqiuiGKybCf^assIeN=gJ=UxCy^CgawbC]R>]jeIPZixltKX\\QPHsMxlEQr?XM_ylYmWdqqhiwqxuLPUoPSEajCtUEMx^ISVAQ<MN\\tuqQx_YOsDX\\QjVpQwYkvQyeiMsYxIynlyuyuyC]yrIX^DSL`jLpOWMSCYmqTp^TSP@uMYR_TLthXeqqVDQlMUWxviyuy=OIqmw@lqyuIHNkUv@qlNDOL@Staxc`NqmwFMx;yJkeQw\\TMAV:Yw_lUvvlFP]ovuL>rhFlavcXXoAAx=weoPgkgx=wmbFdvGywyxAO`gOudFykyrmql=VxeGekPfu`wUyxM`wVIaGO`_OceIvyHZKFlqWrkWhMqnwQ`qowtGuphwJh^BAiSnwqaixIiTFgRApv`pcWd=gojH\\?otoXgyHsfIue_tsXyLinUFvxp]MVeY_ikImNqoWobTh`e`_YviV@sGVnnv_@^qX?fQqo]OtdhTmgVEi_ow]Qch]xbqsLaiseVCGD]iiJugGyeySg^usXuspuyqwuxudlevtCsIyIiSd>CC\\Iio]u>]RxOBAIuhgUAQsCYdQWFniYaysYUd;SB`GUHGsmifAuc@QtqwWmUi]QHKWFqsWXYdxcY`Csqwuhedyuywyscyw=iBTKTUCxo;YjaCE]SJerlyfYsGvOFCGBiwB[skbItE\\nyuycppYMjfIuMYstw^BOwNIsnvqaavCYcpwk[GaHVp=Yn@ghl^hv`b>oq`ywyxyKpuwxqK@nZhnPXfh_vYyvcYtQnlZWf`hvraqQotgX]iF_Moi^Qq;OlcgsYxq;Oaqo[nhoVqbPNdj?p<YqnGwPVsIQhqg`]YcKVr:xt=?\\ZqpfGaNo\\f>yHqxRokVF]^Yyiyfb`x?f_B>lAakS?nsau`isA>]jm<=Yxay_`tdhtEQXv]QbQpqaRDEU;QjGaViquSQlpdWlulwxOSXKHIxWPQGHT;MoeDNQaqsUx[LpausIPPmmny`qqqM=AQaExYMs=<P]AtZHjy`oTepMqxRlP@]WVAyGpWjXKAukXhtWmkuYwixqWmQHMN\\N[AarTf`tOsPioA`exquROnhvdhXnvAx=QZ`PlKh]^P^nfgt>cP`_SagRyfZovRF_GXgQqkM@mkVfRnxsnf<AjQisjVcE`iWAl;q_LVtQh_E>dU`tVFqqww;pwm?sgi^\\NnqNuoX[j?]fQvrX]mnvuql:AyO_jlQ_gp_X_yOgoLiZAvZ@gfR`f<gauoZSN]fQe[yvupcWpulPioAeswxWyhFvyvveAAjQisJ@qHPl]G^oGwLweDh\\Ei\\hyxPV_PXeGaZ]Qoh^^NHtkyxiGwLIhLF\\sQoSX`QWsvHiUNbwnj_xuDilEPcoPg_^n:GjfOl`fclfxRn^[>hFgrDNuTipuhfsQxgOodokmndipu_VgPawLPwOE@]yo;sACvaIBOqdVCr?qTDadYSSL_FC[tIAFlYYioUwggL=X\\KW=qbwMtqww^ECF[wLCu[sRU[CreubevDiMFW[=gaP`asOfSN`^hoMwuYv_X_gEi\\Wafcwux_lV^arYpvhxPYeL?oJohCN[dI^SV`xOf>AlC@kvO[DiaoWwpnupwul?mNpnGW_UokmpiThst?hVfbgVxdhdEHoiHl]VaDwoXW\\_Gt\\hcHgiXNjG^lI`bJVbKYu=yjI_ngWu:fsGIlR@mdxdi`oNAoKOtlouHInHyv[F^GNZoGn=XjqOsfIuegvXiqApcyowrHhE`nFGmvQdp`g;@oxi\\Fgk;voU@vdi[c`[[g[T^t@qwAvuK`gSQtEqQaWsexdyWo=f`MrtCDKyyrIyG?hGad[uS>aysYb_OX_yGWoyxafCuINgbEsbDEx\\IYNYYwYxIyiHsm<ijeQo`xWsPX?PnnlWliY=mjFapE\\TYyiuOtwXi]FwSYpCXrvwgV?`_QsoIqtQwUyp?`kTf`IgcJHfIycr?\\ZWf\\^wFImOPwmAcUVn_v`;idYYvAys<ga@h^o^tOYkFnt;`^\\N[g>arYiOwgQNd_PyRohfAmPFwOyoPf_d@suvwvh_GQmGn[qipRYl;AjqNiuhiuqqFAmK^]dIpfFeLIsqxuH`LmtIUFnqUkUv@Qd[YrUYSsQx?gf`esXOXqqgxqyWSGn]WUWIqeenWWQUoxTOtDV:Yw@<UTTuphwjhu]iUupPZaKgDLKXKZUvSxqyaLooxt>nf?]`f\\\\PncWtDOhrAxcFmxfaRIveq[V>ysNcYXbxx[yV^bhlegd\\`bXfd;GZc`[Khdr@hHFumxfPhvw`yfqxhAg;gocqpgWgdhtYOpAAgEAfbndXynIy`pwkAqkWVdW^cC@kbNwjHuFFw?>_Kaj:W^dHrhhd:?bAgt[VwKYnaPqiHrfQ]l?`SxrUfa[QfEVpepdbPmniuqGbdaaYfdYhIodGSE`;SKQfgOrWaSCOs[sRH_e[et`cEF;YGkbv[eUyhgygFQgOUGHQyG_R>mGlkWVQVoyVZ=VQEsQwGEWsXyH[MrrMtlgVoSuuYW;me_YsQwYs_F:IFYYbO=bUuhhYgUIcMsFJgteWBWMym?dusX`chSOheutkEvxoDeGsF;YoGHZiHJkdZkFF=UdGyVUb@cvVaITKF\\SX<aCUewTif_YtIUTDubHchWmyxihdedl=EjQV?CeuQOYUMp\\wohuX`QsxldPy[QWWTQPiTm@stesa`oJ\\YMpP@\\q@LKB<meHUQuKQ=jftM<]R^QMRaUPynIUP=quYTPf=SO@KSXnSLLlmjS=yyLyTYpaAqtYpbEtVPTqpWSURxTJyTvwYyqPltdXtAQveu?YkQiKsaYm<V:YWJxUyeq]Tp`eoKaYHdRDIqSekB@sq<vrem`dSlEQymiGyvK>\\MH`JOmeujIhgqYt_Xc[foUwdqEVCTb=iBKykyrmQwpKsFOECCgJ?ejSywyxAMiiGiyuUyIibqcKud;mRF?e]OYsWW;QxRCDKCyH[vlQwc?Uk?gUsRLciZ_tQideshfuxEwDIiwOEBikHDmitexIOG;mTl_VXURySCQkUOKGNkheqtTKT^MiogRQ[CreC:gEuGVU`p<ENn]leDN\\LNYIjd\\KTMV?QYYMwPiO]qvKAlq@ygypuQxsyvc]nwUyTqWctJ@PT_mk<lUhpMeYvy`k;<tdMTiXQDelddrrYJC]R^YVXtQPqOEmj`IRf@qMdY[HvBXQUpk^Es\\AqChj]hlB@wHHlQXkgquw]UPeoTInuaQlyXC@kByXZPK>ixeyXfqMAEwctYyqLX<MKdRQEOL]Y^Axs]XR\\Ng]KreUBDqm<W[\\yTUY_YS\\arCHO_Ms^yXiAnB@kbLSjXxWUOqLXbAtppjN@n\\Lt=pp=qk^MsNptGUNkiQF<YW]vohNDiWOQWRPSZutMmpfEROxw?]R>mq]UwPYRpukO\\ORhSoxjaLXadqVMXe`qseUQaX?aWR<xt@rMx>mVqEulggHsUQehdEHqccB_I_qywyblMwNiVscYtyDOMeh=sJsICWDAIxOCim;T@oVGQeWMX\\ar?etKICEqTRIEXwHimVQ[cT?cVCRUQvJOd`cyJmTf?EgOW]OiMieusYBIsMwdNyDpYb^]srISNwumysyseDqfGuB^awSYGdUtOKUSQvwWv?YcgQbKSdegIsMxFIvmAg\\ERTAEjqR<yIyayeOBJWsQwWByxYLOmtVhppohLNYj\\`vONfcQ]m@bIWxmwvhPoMvko>rwfitQpWW]c_sryoUw`XouxWalWqqGd]I\\G^c@ykY__Iqm?peLg]l^fPPuS^kHqahAuW^cNf]W^arOdHv]xfguxkOOqOckKdlcf]aUDAg:ywwKBJUwkiBymyvYx?ATokTawSIkdYkYR=FYkYrIR^oI]itewiOecUAr:iblAyk=wZKGCMd>KGZwVjavw=t;iTIKIGKH_GRYSBXuFwcYtQRLefdsgdUw\\mbGuGIuTIyYyiyaCwMyTOaYh?Uk_uloXg=ywKhCYXxAy]ySSOH_ebgav=Otm=uBQDXwwxWuaSRAosNGr=gy\\[QIqmwPOoUwpIT;apXHoMuTDmpfEw_hWUQmKlYyMNl]KcPWxqyM]WqIT[uV?QkKMon\\ledyvYx_dtXpxGirmiVs@YkOg\\grK^]=PmnF]bGa@aZ??y<xxLinUNdapcigp\\_n?FjogxdiugVvRWfCniMnbbiqCAeHPt`VwQyyDik]Fxw^[rCWsIxmSXcILqGEUvF[vWAwwuYxaySUFwqi^qEQygyqF=oBGAcNyxHsExsF<IwASEqkwQoBG[ygqVX]hfcUtGe;sGKGB`_SSEgdsw:]cRswDTS@=MlPTq`WSqLSdQtER>xqIDoBTPamoKtQyPMHuYIqxgyQb@Vq\\qmIMXxUupXqxToDYZDdtipZg\\Kf^lAcYVZXw^wAx=IwjyeNFc_WsP>`fiqCi`LqnGG^;Ir]cUsxGmUUYtaws_qvGYYdQRBShrwCX[IPiyX]s>sheuDZsRIoGlMOFaysYMftNSHv[qsjAU?ev<]kB`pgUup=UtxXYtohUn<qSj=XZ`YoiT;URxTK;]Xtaxc`Tt`Jd=q]AYlEv<iPSIqmAoTHso]nIumi]TqqSaMTUlTf@uhdkUtKJem;am;hQC\\vWmxfIQhHyrlY@@tpEmnIPZiXLUj@dvVlJ`XkQtWLHX]qLemQAPUGXypisp`U;HWi=XBqmwTjEmrBmr;EPiQMoLSdmQAPX?=W_dQl]vvduNul]yrIYsditu`n`eSgyxjPmwTYg`pc?i>Pd`?iJX^lgoOWopojD^[Ep\\wQbl^fBPy@F`wfbD`vNweT?ldAvay\\ZXmuHkEneVXi<NZt>avakZAviin[WrxqcY?c=OsN`ocQwG?pcGdifrgxgYqvho]Gxw[?rea^f?dj_pCGfrAxSQqIInvgch`eYX]k^_lQZr@nSF`\\XJO<ew@hYWLxgeM?Fpv?]lpkm_sRH`NooZYnAwc^avCYsThuuA`]^tgXe=A_yi]BPr=@bCVmigsFV]spjGVmgp`DpjfvynhfEI^sawmP]LanCgbOxkiqs\\qyOX_yGotXgO>_Ja`Nqno@l`wsXWndNrbihkauqxwaVcjXwiW[pGxyAkVyi>>dtGjny^Y`^OP_OoqngsYOjVO^r>iapfSO`Nyxi>dZVmAnb^YeRJ:tQ:ptvtOgdrExvkUvb=sM=lAUqmuvKdPu\\n_uxhYVdavL`OSMVuxvjHU_HT]pyphkjetdhLQHWMQydPxA=jLIRUmpV\\TshqBIv<ysVLXyXYpaW\\PsBDLSdKexKrIQgAt[pk^msfmqW@vuuxxaNWPQGpTQtlT=LflsWXqXelbTRJYyoW]?OqtQc>GfOvfpaw;PdoPwQQmIY^Jnb?A^g`lEX]qnwDgkTfaOqje?reonIwwaFgLa^MwxkVfrpiwq]SaqsAnVxaygc_xgZ`_SAj;foRQ`SYs>h_IxZBQlE>[bAw;Htrq]@^qh>jWWyRirixj_he\\xkkVft@oSTeEuJCRdQwOyue?b[[FN?F<eH@SWSIhXcITSUXyfm=gvuuIkIBWWseSSex?]vCcxdido_yfmSj_UBggNOT_OxSMb=QYdsWJiU;ueKmxiyI[EywUUZSEp[wmMwoAywcwSYX\\OW@EhvEybCSN?GxGr][Y=ShggrDgvLgIumYNaYXsrP?h;sGd_SZOd=KsbMBpshGeeTyHNyySmtfwedwgxeyRQFSYe[Qr^uuxWDpucQYgqid^IsMGs=SFliIF;YW=BQmtt=hVieisEuse>uDcUt`sTakF^YwdEr@shjGBiAf;Ut_ausWWdqXQoGoiFj;hEGt=aFD?HFqxOugXMRPsGXaGukXVCTY=guIcT=tgKUNExSGu:]UFoesSX?ev@qgTeh=ed>ScF[ywYCOKWhEymMe[gHsURdausoeh=rEgtY[BrGFi[dKUgQQitAunGW_chd]rTguxGC_EH=QRm=d:ArhoERcciMV:Yw<SipeEMiYh?T[_wLSF@YYh]EG=WbwvrAx[YVOwg??vU_cQuixEIWAbQsFYwVIqURQiigEx`lgUp]LJ_Ix]ipQ`OC`q;hPZip<eJ;pwWyNbXkppNGMOCurHhXvPqjiQh<QeuthioPeTVEJoDTEeldUOAlKFil>IkM<q^iQWDrFPQ<`MnG]PNmYF^rwsSX`]PqIPdDhquwi]pg]WbVaSwI=gUYcXuqxweTwwFf[fPafBEd>YB]KxG]CrUfBSh?SYqQWYEX=KeD=Y<iheuiCeiteYgevNQvAyc]ECfOiCUgPetvKHX?w^_XcaYdgvboT]MCV?WkOF:gcb;iWaisADoQI^Awg;Uj[raydAGsVQSN?seoY@Urh]e;UVX[WDaRtWRSOH?[fMuftOT[ORKsguIYxAw]_RLAgKeBoGBNCYkAWyicvgTNMUC_GFMGNigUyTpgWUOVrUg[]SX?F?mSicy<CYxqt:wDOgEJ;E]WWTyhYqcnAw>YC?esbGTmiwhKtjwb=SG<_vvkBvGT>OIfocTWBrMFyuD;[TOQgWQRgmi:AEKmwdcST_vd;F]SvZEWqsSX_stghUGTYYD;sWyqyMetCqDaCS>SixOh^[SKyDDYx[cc;dXcER?HLvaY]YKiXrFxODHv]tJWYMZdqf\\WDHMHxlrlk]]sbtOcAoMhlX\\U>qJ?dOOpwWYMsPWbPqJxQgxLjqwRIx=`xcYtFes@LNAAM`hSeyrS=RYljO]lSXPQujt]KOIY`qsW\\VriJPHuj<vGPNAEwFlmDyu?qNFdoWprrDMGumxPscAjqxWYIsdtrGYM?ykYttlMlLqou]wGLSOPseXMjQv>]XjAvCeX<`JV`NoQWjMLsUMNYnOYKrUR<IktXUqHxl<V:aPipSq=RJAVG\\jwiyU=oZiPZ<VXXrwHMT=lPItjHVsUU_eL]`lfDmQuxsXJAlYPX_VQlixqxWtjVnhgulFvPqy`vwPYnA?lgPr@h\\pvbUHpLOkKA]jqbKXn=PnaPxqwwVIthXorqvsxaVpiYXqqwyJXsQh]qGyka\\Fa`sW`FQrZanchZ;QZdP`ZofcVd```l^hbWaqvkHIaAp[WPlTf`t?it?=EENibH?CYESq=B^Ai\\yXQsUbCHRiheAIWQRyIV[OY=AwKYx_Mr>ow@ocKcDO;d`?fOUdQSsXiVEqXJwbIseb_e\\IsMWYUKIP\\OfPQZPwI=SBYvhAt[ppamJ^YvR<h<^\\cvrOfpXvcOyuGIl]VndhsahtgXsTxu?ord^dbvjd_][xpsnZgGkkyinffDw]swywwwFio=ysq_bh>lB`]CFmhAjOfkoVg@Qq_WnQ_f[>w?Q_LAr;XtOGulvftx]\\pciAx[iwgWmLgk:@nVVi=_xdiiUWeKVnmQmqvyuQl]?qJ_xmY]KNwk`tcXlDaysYjsHyjNlR>x@GZP`oWfgp?xNgyWysyvc]f_UodMgj\\Yb<ao:woXgcWpiYHj=VuBWypih<yi[xZrWiAy^>VqBNiWfo:>nTXbCP\\XYuN`Zm>hrYiJfj>h[YOeUN`WHjnHZFAxPIoMoran`KGfFXn@ghL`usX`cprjntPWrt?pQOZ_IrjyxmN\\HX]tGZi>nhV_HIZhQhpawOGep`G=suuIr=DtorwitewhNMeFGDjmY>eDFsWJygYaVoGyVQCMSFekTFodIsIvAr=WfliWF;aAGrFNqOavGYmSik]H[GfmnO``_y>gg<Arlq\\T_t\\ov;fw\\fm?pcvnth_aNFhBipMYySFkKVvWG]untuXwan\\gNy?`qrGhJYt=A^iVdsPhqfdXYsS?ySwb:>k@g\\xPeM`qpgwLQo\\vc=pZxIvxp\\OP\\Fp[rWrUga>Oe?XaMobh^erpfsvqFIhEyfWwqxwrjxsdwthplQ_Zv@uaI\\ppwhakSnyxVyuYvg>]jqb;XvtYqs^atVj;hkR>guVkiNxFvbmxpRH_\\QpNFy\\XcQpioOwo?uvhjHqegWuPQ`vW^QXaNyoyilD^bP^_rqs[YwJXyh_`^qyy_ykO^sXiqIj`YxiiqAYduxo<yycWt`Xj<glxYwPio;PgVNbKWrYQkBObdVZTpZbIfuFf<a[ypeK@i:g`GPeoPcsHiN_bKxjTip[iZvhZD^fOWps@ySqx?`p?@kRfatXp>vZiadsilt?xiYjvyh]vyhqtvnuOV_pXgxvk]W[dapLxg;OoJNe;wjv@lcPeo@]uHos@[=nuBObSGojhn<Oblad=I[lq]Rhf;qvVhsUhpMQZpiwuIk;v_sa\\nhpGVunOZfHgEfmuvtqAgdvlKA`ePkPAv]xbiRYUbZgvqwuxDoMUMUpK@HSOdq:xLUHoWITM<mVUKsHsRatcejNlj_XSA=pXqoE@PZik^hUu`qqtYQ`qALtT\\M?\\q>mq^esT@tgTpMxNI]OxmYodnGUmTlnBUUjmJlaQ=TJQLW@lyPukXdQo`JvprHXrKanDIj=tN^ixeythUSUPOWMQy`mutpDAlqqOMmnwPodUV?@NJdkt]k:pSvmmlPYoyxlLWNyyDEU`=sJPSp\\WBLToayCiPR<x@Ml]QyupmGyu_tw[AWM@vCYlQ`tLDpq`X[PNl]JcHQRmsATPahO>xJmtpB<x<ms>ijoysylkeHQrPJHhObpT=hsnEVWYqqATOYy@qr_uX:MwPLo=DM[\\wIyL<<R]pQEYTjmObmtf=pg`xWlOXtpfEmfEK:YLtmXZmN=AjqLLj=vylXfamhYxFyu_TOeuPodORMy>MWFEylijVAQ\\LnBIRSIoditE=SAqkoUnwQKPLU=XQD<Y]mrvuujIPFQmopRm<uoPrftouPJXMkv\\tttR_YLeqUI@ykYvBqnGuuBMqnEOv\\QlTx[=rUDKuuxxAwjAR]Io@XL[EUu]ry\\YrAUOIl^ELlux<ujVXrAhpUYKUewYyyMTJXMxCdSUpTPEoE\\vrhajNqnh\\pfs[XoUX^RAqPaqsg\\=wr;GdmQv?yeLgpdevQyeiEouEooXQugH[dikiras=YFmsF@[iK?vb_ESwh^ywXwIyeSogbwsXhQetwc@KBbWrUCdG_CMkFfcdgUuHCEnKrbGcUsHp_gVEITYt=At?OvviiuuY]oWeiXwWB`IxLwgjqtH?bX?bSWTvYYbeWVmRTGRlavC]CwaykWVQKwP_FmOXNiBN_IISDL=W`MX^AsScXYpNi\\Ur\\To=y]TVj<vG`JAEJiEl\\tUr]q@LN<hOVePX]qryqlIRbEXUYnA=lt<T]EQHIMapSWMlgTUvXPZiSR@PXxnA@vJarCXsNyqylK\\=o?`oqXouAwKYpdyy@hMGAkvuJ<PU^Qx@`Q@QUSUXeeklUv@iUE=ru@SWqwVIqX`ST`xgpv?dx?YkQivxiyAPl^DKmARwHTuqx]dVoQwyiW<dKDLw[=Y=Qlbqk;tW>dQr=xRmSV@qZXyv=YEeUhAjNXKgXJk\\sSXpHIw:fbHioUwx_?wJIedq`TYi\\aNiBv?CpucXcI]OiTGDKwwJYufMcnIH]cxfIE^ssXgiN_TcoIPGd]SIDqxgybgUGsEF[;C@aGiehderGcEIcRVAv;YH^mvFiHpWyxqygplUaVflJvHLnxVIIXAhvbMSOPxv=ruyrYtY@Mws@pTypiXNOLONDX?AlVmsUxX@xYwixrep;DJm@t;DJW\\ThaPT]PA`wEpMLLtT<MjQLsqLwXVJEn<EuGTyF]ohlOYmy`pxhAoKemNer<Pj?TpemJv@r:xtuAn_=xJHNm`WqItG@Lcqj^]Q@\\aBIdsNpIvavAbx@YauGWfKqdasS`ehNogO;eA]fQsXX_IS_tQCIiUv@iypOVjYF@]XjgWN[GV=IaoW:YkE=kBypvlYvaSmIhg@n[XiUWypYnNiw\\hbmOoPwr:@jqowVixTxu=hck`vw>tPPqmwv:WuwQmoVcTOZZqaX^]K_x<AjqNjVfviqlhfmIgZTpm@Ph`futh`NHh]q\\APiVFq_gqtg`oAtb`sIVaaXan?imOb<ij?N[lYe[otaGsLhsTxuAHeR^gZ?fqf]\\vu:pNiheuhgqEIieuYXsaxMad@_Y`AekSCOqV^]vAsSX_uUqtNMB;sgXwEy]IiOG;[rDgVvEenKXFcc_KUoOE`UeBORtYvLgFfQf`qSF;Y];BuOVIqewOfuaYSQh?curKEAQB=SiBmfFEW_Ev<yw^Iv=yFL=ijmCS;IjghdecCmrjyxYOFQygYITa[fcYtuibt?y;UHLcIRGG<Evkmd\\GFliCausXehOiSGCggUuTmbvmEpaV>[BFiTqGtTAIumxFkhaAXVwRxCHT?u>gxdityKW]]wQwUlcVDYdp_Ws;GGKErYuDIe\\evnesTGh@oTxCrxADnOGHmdfChveyoUR=qIAydj;vG?BFqwdidQOr?qxQuUsuS:YcewyPgGeOgiKHXquwwICavCYsOiothPj^q`WsPpeqan>>s]ih`>vwiwqxuOw\\Xvho`[_N^uwuwwpIqwk^pSogRApvXsyV[mNjgXeIVdmfpcVdx_^=wjph[oaah^oEn\\FqnUGdAFgGns>^qbqs@qsXooApZ_ftexxjhljXsLh^W`gXaaCg`R@`LAl[V`Og`I^gBXnq>]jqb:qoWOysYqsNh^_lNF_Fhow@cXIwSYpQNt\\hrJfh\\OcYpa_`[X^wawxT^_UGfPhiMqn=NmiIj:x\\Oa]VFbHvekPfghdGNvgtCaGq[R^IBriIYWIqeeWYv=kBnoH^cXZMungddQbT;dDAfO;G[UteoU:YwFeIXYeqswCmfFeH_oVGQTlsYxAvbccQoyaurHWFLegTuXoSuD;Iy[WYqIOAx`;TesThAdkSVXaT@KH\\QFFyTk;vG?BAUEPQGOMGdqrK?dqCwTiXV_ylYsGeHMQHumx:ehmMUEEh\\EiWkBv?sE[XnSXEWgoYSQoWBEcLCYR[wLCYBKXkYrPgY>Uh[otgWgu_ym?xscYtaSLuheuthcGOUgPStvee]OGisBIkbywRZwTiGcduC<GtGSH\\WDf?C]oExkV`IBmWxUyXyMWOeJ:<L:`N\\@^xq^?ArBWtaxZehkk?qjVsOXwmgllQbi?`ZihLRYydisuNiYXGBi]xniwqWufCRhQUoUieut@kdZoHQoweeEgSG\\sIvasSWGLgHeyfTws]gRnkdb?tNaVLafXETU[HKcRDKEs;Fr[CCShtWX`aCnEy`YFf?wn;WJyS?KfBeHROH_whhYWmqvGQfTwtRuVLSRt]xbIgdgEiwTY;EmGbEqdgeT;CUYqiGiUpkybaCmSiBkXYwIyEghYvYqXQqgSKgvcfK;HSMbduIbwyHwspOWJAfVGFYwve?EjQICITomB^qW[Ab=EtEIwMyiBweYACoUE;OGDAdsKbMkSVAik_tC[SEkHp;W?[iqmwvIFoSWpaTU;T@[Cbefl=rB?Gn[s\\mWTahYeyXmrCWDEeyhCfV;feoH@Cf=gVwQywatiYVB=uZOcVcYQUwXiY<gv<uxvOiwcWTuUAWgt;CpEHEaiiuepEc=]vKOW?[iRaYQQioAXoUEcQDkQv?qX;As]whGYeIKSGOEw[WQsER_fbyuygddSScwTTOtSsywyxYOunqbECFFQEy[YrAUwaGXmivURGQv]Urn=Sr?BmodhWfq;EjQIC`X@PoOUkueRsLPDPQ^Qp[txCdvvmQtAOK`PcMTKUpjUQp<YNmoViTO=UBXLalnf@UkLOVqx:AQjIVcILA\\Rg<OUUt]xR]ATIHV@EovEyHMwZmlytYPeLjQLK=Wb=oMEp\\uLsIvAXt[pMIMl^DjnxWYUUOHWNYwFpvF\\JTdcS>_uvh@paI^xdit>g]]^moOwNifSbYMFQugXQdIqIEeGWMin;dFIegydVwVGQU]EC:uTbWuBedbGT]_VrwwWMf>mUWAbqewTiupUhq?CxOGP]wfoHLqHemTSuHWMbVwh[UrXEgWUiqgW=OEZQRcgWUABqwc_?YkauFETCSb;sgM_E?[iHaEF?suiUwOYUMCP[W`OtE[gPagSifDWbIyey[RGqs<kgdWsPgwZUiTuetchiWtsMTb_v[wDjqEt[XDmcVCI]UWHKbveudgTuGghKSRavj_YsASO[HMCTb=UcECU[w<iyuycNuTeGSModEusXgSNUyP]sxqR>YfAuSNESc?hywhWKINqTWqsVgbGYV_Msnwh_aXhIumYfFYeqGR<ObtWgZ_uDCw?kt@SDRes;YxHAGMmFygg_GYR=Ih?fvCE`Eb[yvYwGCefDeUxyYmOUTSSjesnCgbOCHkyXeg:;F:ix@[ufoVIwVIuFZUv:KXrehZshDSeB?sqIfHoWBAVQQCAKHN[YYSIpWgDUGbQuo]gDkc[WWQQyKKe[ICi_XWkXnqxhiuNeW<WRh=HHmcRMdWeit;TLufpkFyYcByd[yX>SHRocv;YjAUtqxW_GMsFhST;wWUoHo[WQ;ht=dQCcvqTnOCygXeqigIXfYGW[HbgcdWWXCdlAbWQiGWh?SiP=CHOIn=EgObo]w;;rYYV>AcsKGwSBgGsQqgWsfuGCp[g<cBlGgDkCteEZAhFqcyWIHgVbOH;GUB]XAcUyoY<]biKBb[hsYxq;g`ODryYmqBReW^aRVgI@[iH=XnSiUUgPEWpMSkCCAeGxEh[_gvEyHIfXSr@er:ArhGDtacIyIIUfDUtbiW:_RWgUNeYjOrFowliv]_EhQr`KcHqUeiDAut:gtS[v@qCUkHEMWQqG]cfDevO_gSUtegfYAEkkuOUEvoGWMyOmxfIIhSSQoWkWg@Ab:CXpaw;KecmSH?FYWxRIhmOiIyGV=iKeYSEVf;ywwSYoIOWtYGb@wH_UsP;dOUgpMWxscSauhcU@QuhYFZyyhYiZ?CwmBSYelcV?ggdKbq?rsGGdCGvkV?AbQICusXXCtwmgKUfDkWVCCSCCa[CaEFyKCsUiKCyXSg@iceKsZGRmKrweE`mXkMt]mWWCdx[s:OF:crD]cm?DRQFImDYmsdwTi_gF=eJiUokYC?GfIx:aWjWH;II`;TJOR?_D??c<QHpoU:YELkHagWRAD^oV?GGlAtwqsYyYdwfAGVAGwFKuR;x@WBQeWuwXYstvmG=mbNmd=kRPuHI?cFObXqvmmvRyDNwCeoRGODl?YkAxBuDSwxmYgcSv@iGPiUt]B^aw@sBAKh_;GKWD`]sjyTguuKwwhQSB[Te[TbKFwYyq_TUoR]SG@]cqaT]IEwgS_mTRMcX]hb=eNQgOMGLueMEh\\EDCAekYDuGecAdJ;h];u?UYUMcv[v?UY]=hU?GK]YcsUx?hawb[iLZiKALwQlyxYy]dsaQmqto<qLipN<plW@OytX_QsgdsaIPM`P\\]RuEgEgybfyyxivIHmVGQwioHr;WgSbOKGNgUPoGWCrVgU\\sF[ctZAv;IYPWcCABSEilUihUCruV[cxBCRaU\\LW\\UnoJ^\\NYrlGdWqdqhqrn`bHvqqauoxFFlxa[^@bg^er^dD_ljYpEy\\@PNaePwsB;ToEVcKWJmEFYE[WUXWgDExSgC=kuj=w_WHZAr<?bQ_s=CYvuRH_GNUeUmdhcufssXgicKEHGEK[Djqr@wcBaGaMWcWTa_cD;fkGd?QeIYcM_GDQd[_RJSx<Ic\\kF;MbrMgLGsZIrg]TtUr;WBa[TGOtYuYwWfpSedEriIExufycyncf_;vvaTlavCagLidLifEEvlIx[WwOkci;s[kRGiWNOI=iXmKuLyXbATAeyXyR`cRd[GFaRiauscUTihE;TOAE:Shx?IxEvVgveurPwUxECyetG\\LcLlMQX[enYumY`qITJXAX>`wTMLLehE?qf>y[vw;Hm\\HmmfyOw`mXuqxweX___p<``\\o^YV]E>x?h]ZAetf`thv^Fdn?jLFjBGbjPrHIiNFwAqrkxlivyLWod>ck>r`ho>H[]Yqo>Z>?vsHf=aZsOx^Equo=QXvHSZPok<qTEr<Hu^arChVdUlXLx@HXhPvd]N?uXF<YW<r;LTiuvxLSBAlsENJiSUpPsXUxTO?MKPtJaLPDLJT]v>YYM\\WTTXAuTmlSDALwyK=lUAlxgYyCqtETQ^\\Wx<rO\\PKDLKDLsuQ@\\qH<nyAqP\\LVtN\\LN\\LNYAr:xt;hSUpxUiQ@HmW]LqqN\\LN\\LNYKAlXqqmwTYOqwkAj:pkX<MGDLKDLKdRPTJXeMEyliupu]KuLwKMp@@kB@kB`YATJXe]gVUOiIou`Ib;gUv[HTKF\\KNNDUF<Yo\\Mx\\YDmsVHqLLwk\\P><R]=J\\LN\\LNliOFNgRp`ggdbXybg_cywYQdait>_b>_b^isR>x@Hjp^lYqIehWyRKQx?SC@Ogp;h>]R>]R^YYFUEjqetcXSexesYtax?OWNCvfEGkGv=yv>OwuoIZ=RekHS?F\\KF\\Kx[mfE;YKyHvWYqICL[Dn_tlUyyucqMwNuTxGy`wf=ywwKX^acFIemotpuivEy<md:wdGmFB?cB?cvEecQBXIcMsdCabCSSgqEY_HcEingWUUSlsVHUgsiYImevsd`cS@xyxYYMdNaAsKHRPhOE<lqxuxUsJIxLDLKDLKHpFuLjqsThp@uxsxQyaYdHyryuyuy]dKT<yEijEttOiyFHMyDlGYmaDsAtM>iP^]k>]R>]bw_cQ>xxIxAymTxkQN_NhelivEQfqAymyvifdjXyWyhuatwawSYtEqtgXd^FgLy[Gf]aF\\KF\\KFqAHw<nuVHayVp>^oAPbwnjtIqYiiqFdO_eBF[oqhUgpTnfeHqUWqpGgSX`a?n>YkQVugWv_N>DlkjHLMNqRpewtLMdPt<MwNIs^iyqyuMupYlQvMnXxmwTYgPo\\AjGhWYlYrIjdQnPaqsomTn`KF<]R@CHW=rEOD\\UwQySJorGwBBiyuycNYVRGxG=dZ?i>acSSRgmSmORHoWuqxogTQch>Ec\\YYd=s>]R>]R^=FMiBv?xOyT?cvVIiZEevCYs_gWUiUmsXgi\\oVvETl_wMySMMSxaySef<eb<QTgOUkEcMsFPwfAWS>]R>]R@KH_=rE;SM=RtUBx?v_YsQMGgGvgwhRmVF?cB?cbKIkcW:YEPKtS;cB?cBv^TaZv`BCDKcRI]CrEcB?KKHok<v_^b>_b`DZiF\\KF\\KFMUV:YS>]R>]R`or:wdB?cB?cFTJXMN\\^b^OgF>iC@K\\Vd]KrEkBR^MWF;YCbBa<BKG?B\\S<R>mn;Z\\N@Z>_FS:>S:]>JKH?J\\TDJ>m>jB`c=:?cF:CDSl:Bl:@CZ\\VDZ>oNZB`CZKFMA:DLS:LNl^;J^;FL:?sN:Cdc:KFM:]R`H:N^l:^b^C=ZB=R^:Dlc:LNM;\\R`:@kFW:bB_;BKCM@:K@jB;N^M;^b`<>kF;F\\St:JKD=J\\L`F:\\FFqRyiyiqPhuuxkCQqoWi^AsKXtlgvDi_sOx^EkKVvwFcWLddJD\\VMPYoqqLPL_LxrhYfupiuuQHKMllDmuvHm_pSWPPhuyvuTr`YsqjFTMpTU@lKfeOYpYTPtMYr[LN\\tM:AjQ@s?mmwTY[TP`]oP@nZhnlUv@iUuxvY]qrYSHmmv`oxpVHaU]dNEmvOhjEtjDMkNDSFtMUYnAuS^]rBHqldVDOgVVh`a[n^ymfklywyxySoyWq`DypYqgOpXQul;V:UWC]dbkiaTkB@kv@M=lU\\@OteytipfDUlHUtxXY@Nqqww\\TIhNEmlR]yvQWByTYeLN`kSTTE]qrEp_awSYoLaoSANsDX\\QntesqyedfjEv`QheupfDOunHsGV]YQv?YmfWfEH\\]iecYtaHmNioeYmmXqJH^=y^P@vwhqFN]nVrlGhk`slyxUa_]ornopvYuPolqputWsMYr]N^\\v_>AjQ@_D>\\>o`h_a:opgWafpwyhypYelixQik^?ujphLV``_kJwoGIl]VjNWoPc?[ijeytiEcwTiwgV[IrsSXIYaiWQocgyhYpOgPUGTlGUmH<ouIQmmVNUPDIulhnqEwaAqUlyGXyoYW[drExvKuyp=mGuWKQVb`OWMq?mVIqMZDoMuNmaxJDsA=vqyxjIvMmlEHteLwaAwkYvaplE<UK@QkMVDMl^DK_dUt`lLxNImNCQmodqtIq]LXO\\oNemtdXSmkXdQ]PtXqYyiyKPUwUrs=Nh]uRQW_yOwMyNMlitUPESMpjAaPQ=V:?_L@h\\`oOWoQ`uthhYguAawcQt_HZLWp`GcGyt]o^rgtdhmpwkYFalobppgw^^ON_NnhSAupvgx>_GWmH^luyxYFouioUwdQxgxHwcw\\>XylPb?PpUoygq\\DgxdiugvyQvn_wrHX^PXkDPylVh`xqIqvaVlkqex`i_pdwnvHieavavAhTgvVyjaYvITdyVdWRAOIlIuaEgWAHDMHeWVAqsSmcKUg_ewTiUpWvm=Yjwx]oVGQTPWCuQgLgFEMI=wRbmUF;Q?MJ<\\tTdPtMsmyvidtw]UOxoREPTMoP_cqYixXyhwmVpawYk`YhAykYXhC?rE@nt>^ZomF^]rfcW@skV_O>]RidxpytHfNxuUY]_fctInDG[c?uJyePwoXi^yoysetgXuQs[WRactYYyWyXYIxnLlQDRZXuqxw^EqsUxX]jxxwhiuALPcMtlEmtdX_PSWHrIqT<aZS^`DO`]xmxOqZfat_Zc`dp@k<QcZAykYc^Or>h^LGp\\GdSfatXp^osVpt:HdTX]=ne\\@[TwqxwoNqoWYcXgqtyrpAubHdW`]@VqPywMY\\yniV@_IXwiyqyIlPioAXs<hZYIouA[<yfGQwifsUxdCPxuWim^sTw_YoaDQ\\B`[PGqNAjVqe^aci`esNu_vyp`vUq]yni`Gyw>]fp_DPn<VsJYh`aoMG_FW]p^Zc``_N^AoysyvYG]x^iphveoktIyCP[^XuZOv^WsPXj\\ywYQbg?uoghd^mSH`ZM:qywyNNmub=sZupVEq<PtwXY]@XyxTi<x<aO^erDhR\\`PhxTipyPPQoMybPTbmTMtNpAPw=peejyUr?TK@@sYuYwPp_hkZ<OclUvhk_yscLlrDX<tKI@lvdJsMq_Qso]Tm\\WhPjvuuitqfeNutXHuTslq>MUJEqATOHUMqlwqEwuQNBpMl\\VP`wUyX<Mj=xrBMj>\\Ug=X@TJXMNadUt`X=MoNEw`pPP<U?ikUTS`msfywNeX:pOWMweHMB]OIPU[Yu@ikeqnptN>mtYuYwiolEkkeviet]xR]eli=MW@V`XVKQn[MXaqsYLw<aJJ\\vN@O[yNupXGAVJYMGDnVtUSQpgivaymiDqviqkTWVEn<uNsLYnELqLSLhMVxNdlTfQNumxvAWRyVZdQ\\@WKqTPxQaXoGml^AM=JZUnEemtdq_Iv=yN[pMqyxiEOcPTw]wNYYvMxCMTE=Jp`T`xSIllmyviHsAuM_\\ltixEIoGyTKhjvdu@dKtijDlXEelDYoL]O\\XN^xPfPUolRlevd=NqxWyqoXTRXaXsQxW`tf]MMYM\\xKFQjOqoWYUq<uGhMulnTaKNtOX]MEywqyUdtoqIr=xrKLyF\\WtLoYuqY`wUyPAXSEaV=hqNdkTdxq\\PRip<Ixg`UspSlXYqaSOg^cYf:Yc^ajxgy`vjdv^@FsMx^PWppH\\;PyvXb@@ys`gVweygax^dXO^T>`f>ej^`TwmvGp]pyUygAOcCQlggdJYZRI]WWp`wcSapcY]swwwn]pQn=HZ=nncPsWF^_`csIlTIwHPx:HumxfjXywFbQva^hZGwmxPslWy`XdYXhbAtcfpShoMwntp_UVasq`f?`m_linkOhqnHgM?c``ccgt>yruBiAsMwFIavdxpgtLbuLOQoW]RvAy]IYOXnHhQE\\o?moIxRxMnj=nvAuqtuvUWqAYIWmB_oRwwu?f>wgZwtrarCXs<gapnhfwdq`hhWxpgbEpi[PttnbGPmiWiFFrIwrHXn_orFviIi[F`u\\wuxxm^_sRhZpXyRHuAggfqpgWgdp<oE^oD[sEYsDl?ywQr?oGPuX<YbGESbcyamflwYNCIbGgEWcgcGSYhawhvaCPQTU[eMwFQqIHUflyCP]wjYxaeSGQX@=XjyxdUR_UgPet\\cHhAw:GBiCd=;uOUwayH<qWqeGluXwCi[[C;=Itwf?_bNACN_S\\wH@sCpYdoYwqAgdeCP=WcaeasS`eDV?dsCV=sFdgdRUweQf[QCDmB`=sZaYX\\W<`wPio;PyWPoJEnm=qcpKRAMQ\\MvXTTlPftM_HpMxweiteMVbhYX<jNImkXVuHoTdw[is:QNOqJotmkippewhEWQqW^PuQ@vfyVQWn^VegXwZ?rE_v:aoSWg^avCYspwkQYoqilv?x;_eI^kB_tCy\\uviKojf^^NqZ_QhPyyvxyxYidHu@GwLiw=gaXIqm?n^isUhb?Nb^oaMonf`lEv\\htpEh\\EiNEyj?s`qH`ysYgTpkWV?gpkI@wHMYcZab;@wGdmMqtfHKWPsJuoXEUoPoNDmwYJBeqCyliTk_yshQXnAwSAXYukwlN]yrill[YrUyjuQubAk;tOKpKfQrPYUTPWVAq\\XmAUxydoUuKMxUyeqMLwkPp_?kLqvqVpdfddvmNooV_tL^xvygMw]<v\\nNornivG[Q@nGovCYlaQ\\J>`QgU[g\\sVUSH`ETK=f:mHSCIlWfnhWvXrQIneUM?uWMxNitKOIqIDwkDj;hU\\`PKDjNyjWTQ`HUHHxW\\mtIM=uLqHj=TUu\\SWIkh@MjOt;pop>wio]PNog^\\cNlMYZ]NiMxn_hpSNnIwm`owY^kI@bdWZlOvXwjbA^E``Apywynd`maO`I^gXVria_pvngHemn`DIrhhdAqkogfDaLWrG_WqoWWYTcwSKIY=AWnmbVYu_UspOuhyhfEUOiVAyDFqCiwUyCRlavc]fd=RuKbDIFUyhyAD_QuhqV>AbQpJ^hKZungpLfDT[hViXq[EqDTmhPrDqlgdqN@OKxrgYvkiLsPXwmO_QsOLlGYmIljt]Qb<gc?tZ`mtomvw]<hsCWlxhdyXmEv<eT?]DQERHuGpSE[gPw<mSYRsUprDX\\EqfYXCyXZ<s>QK=<vRPP_MSYtlxxQdHQFYmq<shdREUsHimA=MjQWZ=rE]n[<PjEnDEWJQTepTcuPIpvG\\wRttTaqJqnGeKI\\k@ypnxWYUuh<v?=j>hK[tjHdsqAs?\\KspL`mTQioUtoD]PSDX;<U_PSktj;tODiu?Qk_QmSdVliQPQUbAqrLmutXJPu==vd=SKQoXeq>hUX@XR=yW<Nu]KrEk<ArHXW^QVcESMpNSxRTEk\\EKxmxfippukAA[Wg`]acHhliveRg_mWns@bBwbH`mKhbEp`DWt`hlv^`lNh_`usX`cx_]>nDYb<ajkawTxsRgnEwl<dM]H@OTr=bDEIsKX^=HfYXtuxhMEh=rEOYLaVIGBiCTR;gcGynIwEcsaQWPaG_IdD=CwSY@CuT?G>_Tl_VXmhFiX<kVyAThwReoelAr;Wt_oWWQhVAr@Ev<UC[ei:wdUoRGWbHEc[sGPUx`isfoVKei?KTZqGX]ihoGr]cXyS;gsRGelcfKWXaqgcqi@cGoGsXSBXMfJ;tlyDgwYoAFZiXqgiuuYLgSUoCbmIA?FH_e]wDjQf\\irFGE;IDhQeAEtIWfvauTihEAik]FKYs?YKOeKW\\ovhw\\tyFImY]t`@ulevDlyYUYqIJXdTohw;\\YytoIET:=L[Ir?]JKLN<LKBETJDwR<NR<LFPRbimZ=wB`tJ<KJ@tE`Jj\\lJIknqXK@t>\\nqDOD@jD\\jedSkXOQErpQxYauStNSXXHas^TXDamsyyxxWnTPaMlSIKCamomxXUYgDT\\`RKduYuOf\\w?es:xxHimYiTIhJmlJv`RyijxyvKETkqWoiWW<pClJQut@USB=SPeQ@hntMxHexdiv_qWaenVawCUlP@sGESt]vWIlw=VMMmLxrXTObTS=LTjMsWXQa@Mx\\qm`K>ekZIwv\\V`uJJUO]=rE]xYUlatOOTYpaYbPYvHSMPm@xvbimrDXX]WWQYJExREmldr_mUdDYATmC=tl=YmqvwmWAApVMqvEyPTTuxvKhxwUxGyKDxkIdMTIk_As<@MT@uRDuBqJg<po@n\\XJsXV:YSNpWsQxNEPr=xFdsaAneikKAPmAwTuQPiTgQufdR`YoTipeDO@\\q:puoaKrESGioUuqrhPvEJ^YT\\pvdDlKMKP\\saHYv@YkyRGLMC=V[=rEERgQuoXmlXPMLKPYo?ll:hnjQQoMoRtPjDXqUN>QuoxwepMqTosiJLuQJ]yvYvIxOBYMTqppAwKDlgyoE`TLhWUqKChyuySCqv;<sMYr``qtexd@ygUnZLq`Eo;aWtIj=tnsHyB`L[hpeXWQdO:aohQj?TN_ESlLN]`vBInWPpJmqvTu`XO[yUcdJ?\\wfpRKMY>dTBIv>eQUYXaqOCAjgTxC]SCEj<tKEQuvPSJXMdxRWys_Usp@sp<qdMOQmO]yxQasFDRqiu:qxmEualynIwIarSXPQdrItQvam[?h<ywLivO`_yp[t>swHy`adKplpga=YvCF[E^bR?eoGptgx>vq^inO?oJOc@F_bHre`f[QrG_[rGcKqjGVqWq]EHkcQfDoeyfZqxexGdHi^q?vu?mlnZv`\\Nn[V>a_Nf]Wll`ysy\\h^eCwashsP_a@@fFw[CIsU^dIhvDix:p_uHjy`ylYekffDQdS>u\\qhgQuQqewo]t>r[od;fv<`i;Pxigat_rEhnEwpbpaAf\\d>xmxxAWmH_yVqmtOwkG]nX_SGqlWqRpawichOyZ`[Jq`Pv\\ZpoTx`iX^@_kbQgBYw]Qnvf_gQmmywLvqy@yywsXxoE@wbytmhxoHhKgqZGr@GpdgtHFe_pvIyaya\\[F^?gfTpZdYdUHd@HlnhfX@hjgjCyZ`XqcVf:UJ=Iv=y]eUxoG`UCk_whyWB;hImevaToAYsOX[Kif=f=Mg<abCKsmCuTmWYqyG]hgUEMoI`aDiWwSqUx_YW]HcMticy>iyswraqgREhGyWwEwKQcSeGZirC_BceDGUePQxEYWcGRGeVnGFGYeqsD=Kc:;b`wGqsWxuwvwcS[HnwGPYvYqw`isiavdMCPmTVSgdsevMXKEhp;YYoIM_v@kf@cCdgVcihp]wrKFtwXYSe[_vQ;v<yXYqiMOxwUXpaw[CUtQu^weEwDi?gXSrsACGKTBiE=kUDKC?OCwKfs_vx=xZIWOAFb?R;_icIBJeW?YV?WCQ;t_is_Uv@yCnsceid]gx^Yd?erXgImeVJQcZmEaCU>kfrCxgGUmWTX?COaeysYSmTt?Ep[gMwrQIjoUj@Dt\\QwOYmXekEIt]puYLSQpOhHYVDYMQY?\\qqmwvqlxYxShNeqy\\YYdlTf@lB=SbiN\\TNU<wlQYNhYQyoyeO@ekTXvvxUkPvMMVmqvcQmoDYmPJoyqAukXXwoQoD<NotnGUmR`xZ@yWEUpDtU=mklkCHm_lrGXUbHmLijkdpeuxl@oPeSwtxWvwfIuEOoAQuph[m>h^Fj?HZifZ?x`XAiGWxrgwTiuNwk?xjQa\\mwvHvxqAlnF__Y[tP_UoxCfeXw\\UXxdotvotgIxpgwTVsSndng^=gvBf`BYhhiuuhnVAs`pZiotoWwpwlg^mwhdd`dkvoYXwCNdT^pZPk=Nj:fa`?tkV^aQuRavlivUNnoWw[O`rObSYalp\\V?nnPgo^c`Qp=nfpw`gOm`Nx`ixyibhN_:_uthxe`_cfvRGZJWoCnwDV]vFlL_p`gs>woXwZc^[rimUWqPWqwfo=Ne`Q`ZipPXjAvaL_iVftUN^\\NwU^aT@r;AjQPjXNxmq[WNdxWZ;VnmInjn]NW[JQf@GuS^vopcV@uAosxqkSV`YGxs>cC>cCGcOfuth`Q_aHHulpjGVisVjWYyhYqQ_`h_e=osLXnDOrCYlaiudhf^asSXbFp]WYriwuAxnSneNQewFh\\amb`dc`pYqeM>\\R`sWXqHiwk_iyXv@i_Z?reG`BWt;?frXiqIhsw]cWZewtH_\\InaRXbQxtExkIplqvZFqu\\ftZwvHY^\\F`kgjdQ[N>^rgrrFdpwcEnuUOr=YyCxxYyadixr@eY?uT?hkny;yZDix\\YioQgCqvsN]R>xL?t=?hCXlUP]Iw^Kvi=Oy:xnShm\\irEV]nN]qWNET\\cHoAbrkXfag\\IxqXqGEPZirqaLKDxPXpPHW_PSIenAtrCLN^\\viQNdAs[lrFTOpDM\\Pm@LjMAobxT?Ep\\uynYurIlmAkNYSgPPnUQqmMoYY:YkD\\Ldet[<lmhwg\\vVmOX]qSyU=Qxe\\svmUypqOaw[]VUlOBQN\\lJDhquuSttMUypiajR<QjMqR\\PbhqbLUn@lhYV:=nCxqG\\uJpko<XZaPkdWTMkdYxKpmZhxXejyxq`isALyN\\w<ToJ=UEqywyNOTMZ@Vy<JpDPLPQ@\\qN\\xnpS:nlfN^UqjTF[Uhbn@^RWivIhmQZX__oY^iax_xlXAdvnkSyZf_q;G_qvd]xbIYhHae]xvvnlZW`Iql[yfG@ZQv`w@f`PaYoqvNoWWp:FaWqy@XkNfpL@gXPaaFq<?v\\hdhpsFwpiWem_ex@bC`qqnuB?hEGq;Oq;NwowsUxpHod@?kGhw`Nx^Is_?sR@t_>hdat;Nh?`f?QkgQkIIuxD^sGRctXygjEf^AoKtqA@SMMYsivTLp>UN`ElkHUMiX]]MPuU@]kbqVTeqiMT@PSlLS@lKfuVRyw]=n\\=rEERIUOZiP]`qExnDPL?TKxLVtEuf\\P=@Rh\\ODAM_mj:pWEql=Lx>PwjIvAxv^aKN<nhExTipM`SwqMJQlSUOZit]PoAYNI`vKHjvasSXol\\QHXKR\\p`hNmEnk`rJHNm\\vfqqPpVJ=OZ<J:pkuaN\\@NdXQqmYIuKxtlEhtexXDhjE^t_PcEPm>ar;O^ofxZPfSO_ffh]WfcwUUGqWVCESeer<gBU_vAAWbQhdetraCmGrRYv:gTh[veqeysePoyqGe]cy<oxsUrikxCUEdyw`_frwgZ?vwaScyuWOH\\=rEERGSs`yrIWGics=GtcaCjmvFiBGYvP=wMocl]SioiTuTFgEU_gr]EcECH?bQsFLqxgYV_as^kd<wtgWHq;u?OF?MCDWTaoqt]MmDWb@S[Io?xni@PEulutXHEPumxdEMn@nPPX<MRIEtrHxEpUyek^avREY]`w=mSeLwvtsVHqLImeXwg\\s`pj@pREHsMXyCpQwMNoMM[mRBlT]XnYULkIxE\\LIxoYuqUiOjIRt`s:HJM]vAAorTpuuxVET``kumMuLXyTwQyYHmuBQmJ\\wddUbxSV@uQupVQXuDV:YcTqmwvr_qkbg`@wsjquthxEX`AidGoyvqvA^qJN]Tgco>v?QxdnftGpnO]Qv`AotNfrl`wDil]auLg]FAxbYn?^axvZoxcwi]jQnb^a<^ukXf]hvyhpPg`ENtANZ:_hNYr?pwXhaYNsZx`e@xunuqxw^GyiGgNa_wNx]It;@dcvZWfgsHtOOtKO_KVpxhmuvrCahF^e^ogXaypPfjXcPyjyWscXdQHqwnkOnjPtJUD@]Dr=EjQTJUuoWwROwk[t^gx`;HlyFNQhoatdAEEUvP=ToOwMQh<OBHmfSGv^WY^AsSCEjQITCUZ;FjOs@;E^AxtMblIWt]hFoB^IRm;uosBxuGOQgF_VOKWesDd[dY]Xdat>ygYuTCkHjMfsMcLUrP[UvwWUqXJ]hbEXq\\PumxdDMNYRLMtjtmuDNLhXfPUohUH]MrPruywVHQ=aSTDTZIV:YS;eSutYQAynmJfTltMj_odjwuwwyeNgNAiPovNN_SAqkwkvHv^^kD`[=yjqo`r_jdaqcXnDpjU^fy>c?IyhYqWO`?qZcg^QoovsEWEfmDWIh]AhIex[gU?uRIWdOgIDydICxmAcWitiwyvOWAORf]S==ruEwLLVjAvSLxkpKWLrSAlZ<j[iQNipsIk=]YvuSWMUFYuOTJXMKT=oEPkPimd]sRAp@`uKuSJaM<QOditumSo<v?UjD\\qKUNOHVxayREqVxWOlu>\\qXPTE=OjDv<eKq<RteKd\\VZQvpxRI@KSPn:@jKdmjqyoyowpMQUUVE^Fp_WOv>Iv=YkoGgTOvDFZialcnwEYujhiuIfaO_=Noh>^ioiTap;NqHxjnijdA^aws`hfr__n^pd@wOYo?Ha=N[JotsVZKF]FFwFNea^`mnfrwgVAxV>xtncPqdZhp=guKX]GPuJpbFQisQZoV_wFsdacYfZh^nZaj?hdQxpIoas`^\\WfYIlOA]vhjTatb_qLQqoW^Wvbc^vDQ[h>^OPwoWf@QqIwmCPxwi[O>b`ysYFrlgd;^[_n]kYibQ[UvlQf_Tf^qv[MxxR>xLcnOxqETlUsQounqy<GUauShyiyqI=kR\\ieDcDDEsVOVoODYebEsvQgcd[g@cdL[IsqxUexlgV^uYRau?OxW=YY?rfEGL]BvGH[Mr\\cu=kuVEiX;dsAideESSDMsTDyyqgWUAeOuD<[ETIdyuywyu_=wjETp_WSAUK=gJYF`kcd;Hk;v_?f_ehviU:ee?@nZ\\qO=VcqpPeoDPpoHoL\\mjeoNPj[AvGMY?LSPIw?TSGAmsHRWXT^`YJhX[Uv\\IsMHOcIRfAXSpvZIKlUWKUtQuwGLVReUKQW;mkSeukYvuUwtlJQ=oNEvGMSPmT^mmCqruavaymyEnEYW[HoIhTxqNKmVhTXWiur@qblU>aVKhXHam>mJtPYoqnf@kZprf@jQYmHLUPMSc=jtdXd@o@\\qb=Q[eRXaZoAwTnjMfhiquMfr\\hbyQlaFhFqkIH]mqjIgm_A\\N?_on]jPjy_y]y]SNe?Wu?n_TqtixmVp]nq[MgwnovdgytietxZv@[>ipdhcZ>`lNhP>\\WPuJQqRA[b_[MN\\LacQxowgxdq\\K?qjHpOIiN@nH>iN_dvojAQ^\\NwCH^=OaT``\\@rAAjQPjLptfq_LQnFAujpZypydIi@xdch`gHmnPxrGt\\xtkHhGQcvlDEyKHu?pxhXSP`qaaqI`TJpMwLL^euNuRcDOImjGTmcawThVo<yxlqwqTsQva<t[EOsEr<Hll`PNImmtLotmeYWMTkf@oPeoV`WPDj@qOD=lA`S;HKuUSTqpGHl;uo=erDxSktWqTmR<xL=TTipEeQZiOWMqrxuUlKrUsUxPmdQ<DpfAOWMykEQM`X]qrqlWAApnuYlavaPnlevLqNF`SWxP;tO`UOwIKato_Usp@OXTmvDYcxt;tOSxJGYMJusppRGpsDhkY\\MHumxaOwAyYMq@tNRTSOQoIAQeaw`mjnuJN=nZ@rmlYvQRSeW=IJgXjq\\WRPrhMWSar:xl<PlpmyhHQmXqZiStPjOQJX]mNIlAYop`tuxXiIKEiJvxxVYXIxraavBIvYis;@ok`oPeL>ylTxqBIPnPuIYt;YmGAj;potexlQNv\\q`@urHx=dtaauGItxqUqqPZASe=TE<YKuTRItXYm<tJLUR\\MV`UQiYNQTYmqvcQPbinfIV:YS;uJghRitUPuokPWPmyh<YM\\VSeOZiRDhJ`]pNANZiwQyoOHj]LxfqsWdv_=VQmyH<YEmlfLNq\\MXIq]qyiyT``sMlUyemKTNtPsUDma=v:qXTHJi<VMMnXIJiiuEXXqqj><jyXQ]dlgTU<mpGqt=arCXk?ypYqybaqyarMtkDpoWexCIvw=w[TxD=qW]qreT>mRHdX`ho[dV_ewTIk\\`UsTWOhXF\\TF<YcFxVxqeoe:YyjYrIFivokqFrTHlXiiqWoUGdnwduqxW@twGiQydXagBWsSXx;vqxp^ThenywYqbFX]q@`=YvBygHhkgqvQyt\\fiw@y\\g:gG=egXeHXav]yVQKUoUvqyrKUxTitsYxcMHbqRmeC];fOSyZIrW[XsQumuvhWsJ;x\\Ge@oUigVPwexMyI?WPaW:WxuaXNwEMQu]CRxGV:YS;uRe;v?aG?GTa;C_;uowwCoe_QhvdT_<pCPSEllpusWXSMHqKqT[is?UR;Qjxyu[qMYtMgLx_YYB]sRHp<]UupXM]Tb@x^@SB=w_Mw?mL_eS>]RwELQtPQexrH\\ENnONpL?pE>sknuyxyN@i_ilTQqIXjlxZmNqRHuoggQfamovZGu@Vmvyj;v_?f\\Fa`dg`V@bH_mS`qcvjmiyqyaS>`LvwZWpONt=?pvykTPpYhi``eUV\\EYo;p\\jQwKAi>VpVAeHvrGQgmpu^Ym@bdMe;sgywTBKH=mIr]WfMd`YXJwrEAbQQyJMgjUx`iYHYybCGQiiuUXMsR^uSF;YcDrL\\neEoQ`sFqUxLrLemalTC<YyiyiYM\\DN[DUx]QZ=RUDmU]Q[Mr\\eraQNZiwPisttWZqoWXkNAwWUrNHrh=V=awvLMi@Og]R>yQgpuWPMQxOYQvkpsoHts]q^YQ^yNIQmoPssuqQuoPLN`lnEHk]LpilJv`LN]pLIMJXP_mxLQXkQvIPYvmkOMJXqYwqNEXUqpYOXPu@O@pq]urKddoPuCxxUxgvvpjo_KOnBHZ]Fn:gjLFdr@bGWcmwojHjn?]wVcBGneHuJInqWdC@pdfnpPgoOv>IisaewxfUH_e?t:pfJAnqhmqY^]V]BHgMqunFh>ox@AjQPjDpd:YecPdcGqk@sFgrDhymfy^al=oZLPgJao:agRInhAwhp`sOhyFi<gi[ijlOh`WccpacNtX>`]^wGa[pH\\vT@oTDErZSWDydisc\\=ruawmgfneYWAyraVSmvHswOSSP_cPcTeohQsTh_Y_qxv[gt?feCeSYGQ]vHcWdWinEEgaYy_WRAhT?Ur?X^_Uo;Fw=HZifZGbGGBumxbwX:MRHmeSAx`ubLcTAucxMftaeewTWySfmR<qW\\AwbIXlYVvGSyoxTeYsIHpSy?_bNcDYoYtyW?ys=mI[UgPeCGSEaoDIEBiKBqmBv_vCOufkGt?fciByuUBieAGF=MICwRYcGJoYkGUX]gVEgVuBUsYq]Creg_YbIkSBwtYuEfauj=cTqsemtF]hVUurUi[=rEprCYlairquucxn=<U[<v?PsOXsbmJv@OduknpJmpV]xjFDm[tVM@tcIOkDXJmj]=QkQo?\\qBUWjPS:Yy_ylhiU[aU[mnwInA`wYaR;PpADw<LSTt`\\p_ixjGpkbgbGph<AcsHbhaaZgh?W_Zi^eArFXyEy_qI\\y`ylwpfgesPh_fr`hcMAu?gs:^[rG_b?g_DsUx`QLTMU;lrkTYpQWGyvZ<vnTNZiRQuNAAujHp\\TXXXO`MOPlOVanrIqPMs]iTTmjpej:imBYL^Hw^mj`@Ktenn\\OSMxXXxw]W@akq`mGITnpVNxKX\\QgtVLDTixlFijpTwGPMoQle`V:pVnTUqpsNtKy\\WhMOW=pZ=rEojP?rEHuWWoV@\\d_trot]Yhh`esQdvfynG[=nbmy`Fa_qOwnNchQci@ekI_SOeeVpTh`eNoxoyavmV_lc`ZXPgGvkWVmfVaqhkYvuU_axAyyVpwng_vlhfeOaaHpr<^bTo_WOq`@mTVjd_^t_dZAbMFk;VZ`PsIHdYhpKWnQ^mAA\\ZWf?irkVgbQ[ywpB^pfPuHPaR_msVhK_j@pq[ae__bdNsphgm`hgpZ=xxdi^Eo`E`usx]NfsUXp`x_=neDN[Raq[hpnxtrHhGVZAWnGV`>?q[hs^P]^h[n^grQjdIhw^[R>`?okCfZoyvIy][@i;@jhWcbvrngytythwrjHa=VpvPeoGbivexp_Egm[iktOr>puxa]xX\\LIbnPdU?j;v_sOlTPi:iwk^n;ahcQxDp_ixtmxv>FxoytYYkvFilGkcYtAnfrnjyHsdfdDAsVAd_>wp?wG?rEhiH>oPWbxijZwpXgqbFu>xZJQhtwrHHu\\@ikQrtpqhNsWhxdi`;oltVf:Ys:xl<`rKX^a_vFwjL^q;YqHqlRGbb?gOGxHYae_dIxmwVoXQtNw[By[VX`agmvA]g?hKWjNgcGQmIQkOV_NXxCFdxFcg>v??lUIn=AcSGn\\n`pXoFYnOYjPij>>nFQmKYpaa\\rOlMx`rhapqvUhgwPwP@wehpewuqovbqkUvtEosHnf@htOfx:xx^@wUypOpve?v<?pLgnpNngWujF`l_fqawINm^^ZuhheqhQvewgxW`qI`x?^sfqaoat]Qqxpw;YjYFk;XZaHsIXunH[MixoPZ?VZXO;oTtSBL=ClyvIYWZAWvSRJ=WO?bQcW;WioUEesIhOUoIWk;WJUYGyvQQgOESo;vWqhgAddyv[gRkqwWyr?Eelcr_qwmeiZaB^gfCUdT_WDCRT?tOSwRIhmGEXSrdqB<kUyUrdECpKg;egTeDOUIjeuGuFTwgr]C;sgaosxUF@]i]sG@sWVAtXAtCmuuAw]wsm[sfQV?LWdMnbtUx\\RQyt?Qw=UsPXR_Uwq]yXmQqaUSeUYuOJ=PZinZ@nO<xTEpoqNDHs]UNWPeZGuG>iKQeqGyladkxiyI_sVvJF]SAdkWnGNhNVr=YyDx]x?ySoaif^_Fr]oompduof>vsrhfXD`]sR\\kUtpJ]uquuwPph@wwyxeyTXxJOQQn`PgMUUupQqn:yjOPnxhYadVr]KyULBUx;mMgxQ[et]hYuAUsTQB`QFiJElRdpJg@urpjNqJ^xW_mjhQlbQPSmpfYLDxmEvkmvfh`\\sQxw^^\\Qvt?yoYiBndbOyKN]Tf_MAd:vwaYep`sJi`raqjGvD@]mnfx@en@gMXpxx_awhyqr:xlfwwyvysidhadPOjmwjOVhU@dIH`\\Nnx@mqvgwPvk_m:voWWqcN[QnhYOunaZ_fkT^`BplOv\\V>dQYpIwmBG`[ObYvf:WkZwp[WrXPvmysi@sYXdlOhfxdU@sJ^sPV_P?cpVmJOjdv[MynYiw`^jSw^vHb]ohCnnFGwiv`>IwcatcxcOwkO^_Rxsnqgu_lw>msgr@FcN?`bvdh^bNP_O_siW`pAywgwLi^HoyG?q<Om;p]swu]orFY\\UypYnlYvcWPa:W`aY`QooA^vYq[DqecFuxhyJPf:Yk@n\\gOu>AsZQi\\arxP`y`llxZc^hrwwn_wO>r?@[t>o_QsoAnrAy]Y[SoytxixIya`yqOr>hZDOv[O^\\YoipqOvmwox?@aj?vN`aIIqpny;yowWwPiklXygAu@VZXOpw^s\\O^BYd<PxM?sSap\\pxgyePg[rGZoPiUp`ghvmyt?acHXgjX[rW\\WPaoGqVhl:?`DHef^mRysXhcMxr]OftPynV\\Hh[oGcCWgOweYFj_NhnWlLptBhquwwho^FPktgd>wbypwmyx]YoMwnxVdwnthhe]GilOn:Yj:>ZEAqbAf_Q[cN`wXiAOkHh]=YpO?uYFrhwmxVlVQtoOaocrSw[QY=CB`kHMCfL=sMwSPSDWYiyOgRWduOYoqSkKX^MdvAEGiUtsXhMwkYW]QVGeGZiUqoWQWUXsGdsInkWVyR`gSZii>suEcVIKtA=xmcykyrUmsAAHeqcwIC@UrsiCU;fcqGxWhMgwgaus]RoAUEqdG[CVCci=TMqDmgfBEBJMXnAwS_G?[iRGwKUbVKuliv]SHvktlgVbMyCwPYpU=djqit<lUfaJYlPfmT@xr\\LNdIstPntURcDOAQL]PlHhMsMrI\\TBYXGaMfQJPPx]Pn\\iVulu[XRuDsZpsQYkT\\oLDNIhYSQpgDMXtkF`WJpyumQFYwiXjlAVRAr^QU_\\Vdat_EwQlpkLn?UkJuv]UUp`MJdWUqrBIut\\JfTX`AYqQMbtorlYvQN?YVb@l<Hu?ur@`S^Yw@hjoqLaysYmlmtrREr[`wSIp]AkrevOpyTho[ik>aX@`kR<xLhwchviQv^xt\\hrEmJIpru=U@hrFxNDQsbDQj=RsdS=ym<QrdXk?Uk@Eyv`NFXLiEj<DYWXmo\\pZyu:DYupRNIRXyqYeqndM`urRqSr<P[UXHYqiqWMaYHLm>=NjimjDVKMy?tTaaxZW^ipfvwphgabvy@Fpf_wdxhiqllfZAyllnewViHxheFkAhtN@sBIN[XbYnAYUBhSUpQJTjAtsJXoLEQmmvJTwPiSlQqCaK`]xjIQDEJQLjaqVGqJBitTXxaYt>MV\\QSsTKChkNUMqlSOHyu`loUWPaqiLUqpM`PqT@Wn\\wA@YwiXeqmYas:AjQ`WGtNQxKy\\Qa@YFDrVEj<ltHyT=MU=]SFaO?ise=sQQR[HYYuPDAnDPRdMw;ukIYrfit<ij]Tpn`KFxscitehnmtPQeSYqqKPVLanxmjOqyFamDIvdioq`pexSJhXwIxAyMlqvG\\sfmXhaMaTo<@vq]qXeqaavfxNlIvkEt?@NJDrgqmwtr?MSDMorlYvTvuyJpVmsVhj`_YivE^Z<OguG[J^kHWmPP^io[rYmROqn_kFYbpq\\pViPyoyaqRAp[wk\\Ih^q]]W\\VXZXYaPyoY`sl^iSalV`qK_heq`@ooXGe??eRYkv@kCaj;v_SQuhheAgdYaj<FfsQ]avd>nk]xbIYhunjSg_V@beqtgPvMyt>a_LNxsApkPbCn`y@fmQ[lOgmXZ_YsJojFGo[yZ`gl`gsT^grqjDfpno[NH[d?ujPm[Xf[vyCImmIZKn]XWdo>tMOjlYeBYeAis;V[SnoUpilVbCQqqxuX>m_P]KqqfNlVYhIyyBHqmwjaGo<`[PHpwHys^uWhaX`oSgd?`aU``cGctirlahGyUaCFuVjur:wdfeCscTDMcNCyyCeaMEB;TwCVtaxN_CU?FV;dm?we=rE?bpuxhII\\kGhmWtISoeemgIdkHHAFaGEgSbkGgfSijSsUOetSRpWRW]hbyUl;RA=fE?FqkF`WcfAs`]FNyuOUgVCb_kWPquG[WB;DKmgIcUBShDEGbErigBL]XJwyeiSUyWo;yu=RcAHfMfOqYXiilsepSgQSbBKsEmdfKvPES<iDxqiq[WROFXwYxIwfci@cu?gc=YBAkSqSYRkWJMBg;THyW@MV:`gHh]Ah\\YvwTipSH^sVnxAjHicRogYnavolUIpoYwqWsvNbYGfcV`[Fna@]mnvGFaMijM`oXFwW>msWiaim[Pp^v[p_j]>soVwaqkhgdD?tFWZUpvb>p[yxqAt[hblGgsgsThmSqmkWr@HdvqenXgqQpBF[s_siVf>awjgutHdl`mNP\\N_l:oauohDWx[>pX_qr_pf?i:`la`sd_tb@^Px_IxlQfyNhaqxgYI`u?[Dpeugw_FePxklNf:YcphlPphWig]H[Z>ueIt]Nr>H\\_geypig`rfIue`rOYoqV`vnkdXZBgcBQgkVh^I[dfl>Oxq^qsQmWoyggrDfvGgcBwuZawhhaZHaDQoOWv_acin`KFf]>]DHxahnWWle^[D?psgpjGvvQn>GkAafWPuDilEAshhfXatVpxONZSYfAqlBIe;_heWbsP_vQwOx_yanVAnTIn=?qYo_BVoOWi@_wTilNpyovrsVhJH\\:YnvO]LGqFPsSxxQX[Q^uUAaUGZdw_yixQI`mxj;oe\\?rES[uXoODV_TfoiSeGmwBY[s[kFImwaSwFoV@OUw_WWCgGcsB[dTMC]uDmoEGSBBaUbohk[YruVaiYNIexIxAye_=tEWED;y]mFNCwwCYlavl[x<wf^EsAaV_iBNOI=UBS[BcAE=wi[cU[Aukgfl_CYKWBsBTYYXCdyGHZin_`LjQVcqYjAvHlrIlrI<TaXXxayGlsHYSH<uCmQx]YiEY\\aN_=WjElSlYXmkHxW^uWRaZUQtXob;ibfp]m@sShvIymQwxQA^D^ZF>iCqlJQiKGo[aZPXxDp\\g^f<AkvYZUVhJA]<i`A>\\o_aYqiufb>qrtqtVN^R?f@XgsQxNwpAI`]oeb@t]n^F@kB@kFpr:xLMRmGcFiTG;T@wV>AchoFG?sy;THCCUsUVUWcMBd?IZ_YSSwhKi=uFe[GYSi<eC`]fp?DKCTj=V:YSp_fNiXcwYyqHl?iv=feuthGhF;wKMwEIBGkH@mcFMd;AHwiCsKdmkVf?sjAEpss_efu]EKCD?kG@[i^UIbcr=orDkgJ[vRIgMoDToHV?IkmSVoIwIimIhSYhQUsNgcauegcV\\AsfgFpkxWCxMySyIXXyrH_yN_drmvoKDKcBSkBv_NPmoVqwPpsjdWTAJsXNUqOjHv_Uv@Io\\PWOqKlpkh\\yxYyYLn=ujREXnAwL`OoXJpXMN`nTXPaeW@xr`]srUSNuoXmu^HLKDLKHUR<xLhwFQmoPO=iy`esdAk`iseQmnLMwANYxXMqncMnheuhqsS]SFAyHDML@Oq\\V?TpUupxELWTQHPl_AoVlutUoW@wXiqsHk]PN\\LNm@PZiNUER_mJnLVj=REds^`NqQuopXKEqlEWSQNn\\Ofxpm@pxlPcEnp`O<dyZetaxs^DXhaUTXxxUoPeK?MR<uOmqJ>]R>mn\\=rEml=NhUn`fqlo_hkXqxpdgPclwbwxnhAbbnohQuxw\\Iyev@aHqx?vteatc`_PqoW`^Tx`yWd@fqbGoTqoWA[kXiqa]KGoLGgmxja?q>arOPpXGp=Wmpfk>Qr?Xn^g_PO^\\N[H_[rGsL?\\jhqtQw:GxXYiuimIh_SOxX`mshex`ifpvaQ^BIan?w]wvwAqr@_KN]TgdqHpTGc]pbi>kGYmaXk`gsXalsYsbhsUn]XycfYuqvevFx>Yn`w[IA`eytiq\\wWyHOhXywRI`V_sWX]M>hg`dC@kByqR>xLhnZwdwXgjXwJPllhdpndbfdd@m\\yv[GytxiyI_HYyWXaqf\\=ojn_tg_mP_dqpgOFpqwwvFt^HcyFhsQxGFhwQyQQnpgwhGwQV[iAkJ@lAasXnmhq`h_y:_pfGa>_ykyrYPZOvr@h[ea_iNiRoiF@kB@]jMNPwaQQVYYiyQNtMA=VQlMXytsHXehVEATK`ln\\ObTJWPX_QR>Ip]US?]V^ATkXVAILkirQtUDPUoPq`xU>]qgLON=YLaw[Iw`DQsUnBPkDxLyhypYqf@VktWX]StysZHjSYr\\L^PFr:xlffZgFjO`heqtF_lbFd>iwkYpaw_CinuY[QnoBYyKGdiPk>ar;Gbw`jGP]mHocHk\\_wRIy\\_xbIilQjZpbGps\\GwLI`\\HgMQe`w[IyoJ>vHN]nqpRPAmGiyImaSCEUauhfEua[SXCEKCDSEC=kUldPemTNhXneU[tKqmtfHNSlM=UXC`r>iL\\]tb^rgXeyPkAn]rxaw>wS>rlXdyij:x]g_lUf`dp_tnhVF_Hams@_qfpGv]XibxngAX[<^nk@vuWbXq``wyuyxig_\\Qvt?kuywag[\\O^\\NsBHZiFeD_iv_pRipeAorHimYiaYfynyrYprnivaoBYlavlBWcup^q>pgfethbHae<gqtgd>asSXjOWxuWjSgldff>yjYn_MVl`f_CwySq^axZ>Xh?qwWyr^a_b?npHexhiuy`knfFaasia[Wl]N]C?n[`Zu^sKF\\KP]@^q^G_BWeRyqyGjbWupnbVnavwp\\QZ`?xXxixVfU?f^xvPyoyamfw\\vQtEwsUH`NAj;poeWbAphLfwTiqVpyyabk`gSq\\KPmt?dnOwNarfIn_G[hNi@akSx_Dalcn_@okfq_\\N^diZ_oqpF\\Kr]=rEmd=Oc<sBIkGJSUp_EJSEqkwKGYt?Gogdusx=Of^EsAQt=xsBQPVeREp\\pAd=NcKtyIst_rr?SrgYuqcSYrCQhvGYmUcoSW`;cQmUcWrTQi>]R^iD@[i^ESRGhESCeoGi]vYuSycU<aw[[VEKiaIukgTnCDKCwAGBiCDKCDKCuTSBXMF\\KF\\KhokBv_R>]R>]Ve]CrEcB?cB?sPAEjQDKCL\\TU]=bB@kB@kfgk;R>]R>]Rpor:wdB?cB?cfec;sGK^b^;Bl\\;R^:Dlg:LNU;\\Rp:@kf;DLSCiBKC=J^?=jB;N^U;^bp<>kf;F\\S=N^lLXK\\L@ZBE@ZK<bBq<BKg?B\\S=R>m@bB__v\\>_F:KPF:]>JKh?J\\TEJ>mp`qMjqutAOwyQyEMyLL\\^B`wthxkXu=mw;twGhN@]K?@kB@kB@sJ\\Sc=N\\LN\\LNU;\\RppBR>mhpyy:]x<wrVIeQsVl;B:;B:MTKWLQENjDB:3:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%qaF*-%.BOUNDS_HEIGHTG6#$"%SOF*-%)CHILDRENG6"Opgaver 1Opgave 1Definer nedenst\303\245ende funktioner i Maple og udregn deres funktionsv\303\246rdier i f\303\270lgende tre x-v\303\246rdier: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSIyRidGL0Yv, 6.8 og 20. Angiv funktionsv\303\246rdierne med kommatal. Hj\303\246lp: Hvis Maple giver dig et eksakt svar, s\303\245 benyt evt. kommafidusen, som best\303\245r i at skrive et enkelt af tallene i forskriften som et kommatal. I Opgave c) kan du for eksempel skrive 10 som 10 efterfulgt af et punktum: 10.a) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUZANi1RKiZ1bWludXMwO0YnRj1GQ0ZGRkhGSkZMRk5GUC9GU1EsMC4yMjIyMjIyZW1GJy9GVkZlbi1JI21uR0YkNiRRIjJGJ0Y9LUZANi1RIn5GJ0Y9RkNGRkZIRkpGTEZORlAvRlNRJjAuMGVtRicvRlZGX29GOi1GQDYtUSIrRidGPUZDRkZGSEZKRkxGTkZQRlpGZm4tRmhuNiRRIjdGJ0Y9Rj0=b) 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c) 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NB! Kvadratrodstegnet kan du hente ovre i paletten Expression, men du kan ogs\303\245 f\303\245 den frem via Command Completion: Skriv sqrt efterfulgt af ESC og Enter. Opgave 2Lad f v\303\246re den funktion, som s\303\246tter i anden potens og ganger med LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy, dvs. 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. Udregn funktionsv\303\246rdien i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjZGJ0Y5Rjk= i kommatal. Hj\303\246lp: Af en eller anden grund foretr\303\246kker Maple at angive funktionsv\303\246rdien som et tal gange LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHRjFGMg==. H\303\270jreklik p\303\245 Maples svar og v\303\246lge Approximate > 10 i kontekstmenuen for at f\303\245 svaret i kommatal! Grafen for en funktionMan kan tage et slags "snapshot" af en funktion ved at tegne dens graf. Grafen for en funktion f er m\303\246ngden af punkter LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3Rj5GPkY+ eller LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJmRidGNEY3LUYsNiQtRiM2JEYwRj5GPkY+Rj5GPg==. I Maple kan man tegne grafer ved hj\303\246lp af kommandoen plot. I det f\303\270lgende skal vi se p\303\245 nogle eksempler. Vi vil ikke g\303\245 for meget i dybden med det i denne omgang - der er rigtig mange muligheder i Maple. Hvis du vil vide mere kan du kigge i tutorialen Maple 5 - Plots. Eksempel 1Tegn grafen for funktionen 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. L\303\270sningDet kan g\303\270res s\303\245 simpelt som med f\303\270lgende kommando:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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%;Det er dog god kotyme at anf\303\270re hvilken st\303\270rrelse, der varierer, her x: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYqLUkjbW5HRiQ2JFEiM0YnL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZGLyUpc3RyZXRjaHlHRkYvJSpzeW1tZXRyaWNHRkYvJShsYXJnZW9wR0ZGLyUubW92YWJsZWxpbWl0c0dGRi8lJ2FjY2VudEdGRi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlUtRiw2JVEieEYnRi9GMi1GQTYtUSIrRidGPkZERkdGSUZLRk1GT0ZRL0ZUUSwwLjIyMjIyMjJlbUYnL0ZXRmluLUY7NiRRIjJGJ0Y+LUZBNi1RIixGJ0Y+RkQvRkhGMUZJRktGTUZPRlFGUy9GV1EsMC4zMzMzMzMzZW1GJ0ZYRj5GPkY+, ogs\303\245 selv om det ikke er n\303\270dvedingt her. Ofte er det smukkere og mere overskueligt at definere udtrykket som en funktion, for s\303\245 kan man fremover nemt referere til udtrykket med LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== b\303\245de n\303\245r der skal udregnes funktionsv\303\246rdier (se f\303\270rste afsnit), l\303\270ses ligninger (se n\303\246ste afsnit) og tegnes grafer. I det f\303\270lgende definerer vi funktionen, tegner dens graf og udregner funktionsv\303\246rdien i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjhGJ0Y5Rjk=. 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%;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUkjbW5HRiQ2JFEiOEYnL0YzUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRj5GPkZARj4= = print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Husk at funktionsv\303\246rdien kan udregnes inline ved at trykke Alt+Enter mens cursoren st\303\245r i matematikfeltet - med stiplet kasse om. Maple tegner pr. automatik grafen i intervallet fra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GUy1JI21uR0YkNiRRIzEwRidGOUY5 til LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzEwRidGOUY5. og intervallet p\303\245 y-aksen afpasses, s\303\245 grafen kan ses p\303\246nt i n\303\246vnte x-interval. Hvis man vil vise grafen i et andet interval, for eksempel i x-intervallet fra -5 til 12 og i y-intervallet fra -20 til 50, s\303\245 kan det g\303\270res p\303\245 f\303\270lgende m\303\245de: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%;Bem\303\246rk, at der anbringes to punktummer imellem intervalendepunkterne! Bem\303\246rkning Du kan \303\246ndre en masse p\303\245 graferne, hvis du er interesseret: Lave gitterlinjer, give grafen en anden farve, Lave en kasse om grafen, etc, etc. Ofte er det un\303\270dvendigt i en eksamenssituation, s\303\245 vi vil ikke bruge for meget tid p\303\245 det her. Feinschmeckere ud i det \303\246stetiske kan dog f\303\245 en hj\303\246lpemenu frem for kommandoen plot ved at skrive kommandoen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiP0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0Yv eller LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiP0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVEscGxvdCxkZXRhaWxGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGLw== i Math mode p\303\245 en linje og trykke p\303\245 Enter. S\303\245 vil hj\303\246lpemenuen \303\245bne sig af sig selv. Slet lige kommandoen, n\303\245r du er f\303\246rdig, s\303\245 du ikke f\303\245r menuen frem igen, hvis du skulle finde p\303\245 at genberegne! I hj\303\246lpemenuen er der en instruktion og en masse eksempler ... Du kan ogs\303\245 foretage \303\246ndringer p\303\245 grafen ved at h\303\270jreklikke p\303\245 den og v\303\246lge forskellige ting i kontekstmenuen, for eksempel: Axes > Properties.... Der er mange andre muligheder her. V\303\246r dog opm\303\246rksom p\303\245, at nogle af de indstillinger man foretager i kontekstmenuen vil nulstilles, hvis man genberegner!! Dette vil ikke v\303\246re tilf\303\246ldet, hvis man skriver det i en kommando. Eksempel 2Grafer for funktioner kan se meget sp\303\270jse ud. a) Tegn grafen for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNiVRJHNpbkYnL0YwRkVGPUY1Rj0= i omr\303\245det LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSMxMEYnRi8tRiw2LVEmJmxlcTtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGTi1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGSi1GRzYkUSMyMEYnRi9GLw== og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSIyRidGLy1GLDYtUSYmbGVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZOLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0ZKRkZGLw==. b) Tegn grafen for tredjegradspolynomiet 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 i omr\303\245det 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. L\303\270sninga) I det f\303\270lgende benyttes den alternative m\303\245de at definere en funktion p\303\245. Hvis du selv foretr\303\246kker LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSomY29sb25lcTtGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQtRiw2JVEkc2luRicvRjBGRUY9RjVGPQ== kan du g\303\270re det. Se ellers i forrige afsnit. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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%;b) Vi er klar til at tegne grafen for tredjegradspolynomiet. Funktionen har det navn, fordi den udelukkende indeholder led med potenser af x og fordi h\303\270jeste grad er 3. Bem\303\246rk, at eftersom der ikke er specificeret noget y-interval, v\303\246lger Maple selv et passende interval, s\303\245 grafen kan ses i hele dette interval. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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%;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Eksempel 3Tegn graferne for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUklbXN1cEdGJDYlRjotRiM2JS1JI21uR0YkNiRRIjJGJ0Y9Ri9GMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGPQ== og 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 i samme koordinatsystem i et passende omr\303\245de. L\303\270sningIgen benytter jeg den alternative opskrivning for en funktion. Hvis du hellere kan lide LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSomY29sb25lcTtGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlRGPQ== s\303\245 benyt det. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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%;Vi valgte blot standardomr\303\245det for at f\303\245 et overblik over graferne. Det kan se ud som om graferne m\303\270des l\303\246ngere ud til venstre. Derfor vil det m\303\245ske v\303\246re smart at v\303\246lge et st\303\270rre interval p\303\245 x-aksen, s\303\245 man i det mindste f\303\245r et eventuelt sk\303\246ringspunkt med: Lad os v\303\246lge fra -20 til 20. Intervallet p\303\245 y-aksen vil vi ikke specificere. 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%;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Vi ser at de to grafer virkelig sk\303\246rer to steder. Man skal v\303\246re opm\303\246rksom p\303\245, at med mindre man ved noget specielt om de to funktioner, s\303\245 kan man i princippet aldrig v\303\246re sikker p\303\245, om de ikke skulle sk\303\246re flere gange l\303\246ngere ude. I dette tilf\303\246lde er der tale om en parabel og en ret linje, s\303\245 her ved man, at graferne ikke kan sk\303\246re hinanden yderligere. Bem\303\246rkningMan kan ogs\303\245 benytte kr\303\270llede parenteser om de to funktionsforskrifter i stedet for de firkantede, alts\303\245 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifGZyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSV0cnVlRicvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHRkRGLw== og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifGhyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSV0cnVlRicvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHUSwwLjExMTExMTFlbUYnRi8= i stedet for [ og ] LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Opgaver 2Opgave 1Tegn graferne for f\303\270lgende funktioner:a) 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 i standardomr\303\245det. b) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEkMi41RidGPS1GQDYtUScmc2RvdDtGJ0Y9RkNGRkZIRkpGTEZORlAvRlNRJjAuMGVtRicvRlZGaW4tSSVtc3VwR0YkNiUtRlg2JFElMS4zNUYnRj0tRiM2JUY6Ri9GMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGPQ== i standardomr\303\245det. c) 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 i omr\303\245det givet ved LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIjxGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYzNi1RJiZsZXE7RidGL0Y2RjlGO0Y9Rj9GQUZDRkVGSC1GLDYkUSMxMkYnRi9GLw== og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJiZsZXE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YyLUYsNiRRJDUwMEYnRi9GLw== (brug teknikken med de to punktummer fra eksempel 1)d) 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 i standardintervallet.e) 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 i omr\303\245det givet ved LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSMyMEYnRi8tRiw2LVEmJmxlcTtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGTi1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGSkZGRi8=. Lad y v\303\246re default ...f) 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 i omr\303\245det givet ved 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. Opgave 2Tegn graferne for funktionerne 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 og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEjNDBGJ0Y9LUZANi1RJyZzZG90O0YnRj1GQ0ZGRkhGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVkZpbi1JJW1zdXBHRiQ2JS1GWDYkUSUwLjU0RidGPS1GIzYlRjpGL0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y9 i samme koordinatsystem i omr\303\245det bestemt ved 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. Opgave 3 Tegn graferne for funktionerne LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkmbXNxcnRHRiQ2Iy1GIzYnRjpGLy8lK2ZvcmVncm91bmRHUSxbMTI4LDAsMTI4XUYnLyUscGxhY2Vob2xkZXJHRjFGMkY9 og 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 i samme koordinatsystem i omr\303\245det givet ved LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSI1RidGLy1GLDYtUSYmbGVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZOLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0ZKRkZGLw== og 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. Overvej hvorfor grafen for funktionen f kun bliver tegnet for x fra 0 til 10?Opgave 4Tegn grafen for 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 i intervallet 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. Bem\303\246rk, at grafen overraskende kun tegnes fra -10 til ca. 3 p\303\245 x-aksen. Det skyldes, at Maple i version 16 indf\303\270rte smartview og slog den til som default. Med den sl\303\245et til, vil man normalt f\303\245 tegnet grafen i et interessant omr\303\245de, g den kan godt finde p\303\245 at overrule brugerens \303\270nske. Men det kan v\303\246re, at man insisterer p\303\245 at f\303\245 tegnet grafen i det p\303\245g\303\246ldende interval. Man kan sl\303\245 smartview fra ved at tilf\303\270je optionen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEqc21hcnR2aWV3RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVGPUYvRjIvJStleGVjdXRhYmxlR0YxLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0Y5. Pr\303\270v det af med f\303\270lgende kommando: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 anden m\303\245de at "f\303\245 sin vilje p\303\245" er ved at angive b\303\245de et x og et y interval! Pr\303\270v f\303\270lgende kommando af: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 5 Undertiden vil man gerne have at enheden 1 fylder lige meget p\303\245 b\303\245de x aksen og y-aksen, alts\303\245 at den ene akse ikke er "strukket" mere i x-aksens retning end i y-aksens retning. Det kan g\303\270res ved at tilf\303\270je optionen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEoc2NhbGluZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSxjb25zdHJhaW5lZEYnRi9GMkY5 til plot kommandoen. Inden i parentesen i plot kommandoen anbringer man et komma efterfulgt af ordet LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEoc2NhbGluZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSxjb25zdHJhaW5lZEYnRi9GMkY5, . I \303\270vrigt betyder ordet constrained blandt andet "tvungen" p\303\245 engelsk. Pr\303\270v at udf\303\270re definere funktionen 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 og udf\303\270r f\303\270lgende to plot-kommandoer: 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 og 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. Hvilket forskel er der p\303\245 outputtet? Kan du forklare hvad der sker? Simple ligninger De fleste ligninger i gymnasiet kan l\303\270ses med kommandoen solve. At l\303\270se ligninger er imidlertid uhyre kompliceret generelt set, da der kan forekomme s\303\245 mange forskellige typer ligninger. Hvis du vil kigge mere p\303\245 emnet ligninger, kan du konsultere tutorialen Maple 4 - Ligninger. I dette afsnit skal vi kigge p\303\245 de simple typer ligninger. Lad os kigge p\303\245 nogle eksempler. Eksempel 1L\303\270s ligningen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYzNi1RIitGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRLDAuMjIyMjIyMmVtRicvRklGVy1GLDYkUSIyRidGLy1GMzYtUSI9RidGL0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjI3Nzc3NzhlbUYnL0ZJRmpuLUYsNiRRIzE4RidGL0Yv. L\303\270sningLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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print(); # input placeholderKommentarerHusk at skrive kommandoen i Math mode og tryk p\303\245 Enter, mens cursoren st\303\245r i formelfeltet - ses ved at der er en stiplet kasse rundt om! Husk at man skal benytte et almindeligt lighedstegn, n\303\245r man l\303\270ser ligninger, ikke kolon lig med! Det er god kotyme i solve kommandoen af anf\303\270re den ubekendte, man skal finde. Da den ubekendte her er x g\303\270res det ved efter ligningen at skrive et komma efterfulgt af x - ogs\303\245 selv om det i princippet ikke er n\303\270dvendigt, n\303\245r x er den eneste bogstav-variabel. solve-kommandoen vil om muligt fors\303\270ge at angive l\303\270sninger eksakt, hvilket betyder, at Maple ofte vil svare med br\303\270ker, kvadratr\303\270dder med mere. I mange opgaver er man mere interesseret i l\303\270sningen som et kommatal. Der er flere m\303\245der hvorp\303\245 man kan f\303\245 svaret i kommatal. Hvis der kun er \303\251n l\303\270sning til ligningen, s\303\245 kan man h\303\270jreklikke p\303\245 Maples bl\303\245 svar og v\303\246lge Approximate > 10 i kontekstmenuen, hvilket vil give l\303\270sningen med 10 betydende cifre p\303\245 en ny linje:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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print(); # input placeholderLUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEtYXR+MTB+ZGlnaXRzRidGL0YyRkM=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Det engelske ord Approximate betyder i \303\270vrigt at tiln\303\246rme eller approksimere. Men der er faktisk en endnu mere elegant m\303\245de at f\303\245 svaret i kommatal, nemlig ved at benytte kommafidusen. Den best\303\245r i, at man angiver \303\251t af tallene i ligningen som et kommatal. Vi kan for eksempel skrive 18 som 18.0 eller blot 18. (18 med et punktum efter):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print(); # input placeholderS\303\245 er svaret der straks, og vi sparer to linjer. For en ordens skyld vil jeg lige n\303\246vne, at man ogs\303\245 kan l\303\270se en ligning uden direkte brug af solve kommandoen. Man kan n\303\270jes med at skrive selve ligningen, h\303\270jre klikke p\303\245 den og i kontekstmenuen v\303\246lge Solve > Solve. 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LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEmc29sdmVGJ0YvRjJGQw==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Eller hvis man vil have svaret i kommatal kan man i kontekstmenuen i stedet v\303\246lge Solve > Numerically Solve: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LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEmc29sdmVGJ0YvRjJGQw==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En del vil nok synes, at den sidste er p\303\246nest, da man helt undg\303\245r solve kommandoen og endda har det hele st\303\245ende p\303\245 en linje. Der er midlertid en v\303\246sentlig ulempe: Det er ikke nemt at referere til l\303\270sningen, hvis man vil regne videre med denne! Det er meget nemmere, n\303\245r man bruger Solve kommandoen, fordi man kan bruge en Label og referere til l\303\270sningen via det formelnummer, som st\303\245r med fed i parentes ude til h\303\270jre for Maples svar! Derfor kan man argumentere for at bruge Solve kommandoen sammen med kommafidusen. Eksempel 2L\303\270s den eksponentielle ligning 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. L\303\270sning 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(); # input placeholderEksempel 3L\303\270s potensligningen 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. L\303\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print(); # input placeholderEksempel 4L\303\270s potensligningen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEiPUYnRj4vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWC1GOzYkUSQxMjlGJ0Y+Rj4=. L\303\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(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=KommentarerMaples svar ser meget besyndeligt ud - Maple angiver faktisk 4 l\303\270sninger, adskilt af komma. Den f\303\270rste l\303\270sning er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbW5HRiQ2JFEkMTI5RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNictRi82JFEiMUYnRjItSSNtb0dGJDYtUSIvRidGMi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjE2NjY2NjdlbUYnLyUncnNwYWNlR0ZQLUYvNiRRIjRGJ0YyLyUnaXRhbGljR0ZFL0YzUSdpdGFsaWNGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGMg==, hvilket er det samme som den fjerde rod af 129, alts\303\245 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtcm9vdEdGJDYkLUYjNictSSNtbkdGJDYkUSQxMjlGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EsWzEyOCwwLDEyOF1GJy8lLHBsYWNlaG9sZGVyR0Y9L0Y5USdpdGFsaWNGJy1GIzYnLUY1NiRRIjRGJ0Y4RjtGPkZBRkNGK0Y4. Normalt vil man gerne have svaret i kommmatal frem for dette eksakte resultat. Lad os derfor pr\303\270ve at benytte kommafidusen p\303\245 ligningen, s\303\245 vi f\303\245r l\303\270sningerne i kommatal og ikke eksakte l\303\270sninger. Vi anbringer et punktum efter 129: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print(); # input placeholderNu ser det mere overskueligt ud. Der er dog to l\303\270sninger, hvori der figurerer et stort I. Det er den s\303\245kaldte komplekse enhedsrod. Det er nemlig s\303\245dan, at grafregnere og matematikprogrammer vil fors\303\270ge at give alle l\303\270sninger indenfor de s\303\245kaldte komplekse tal, som er en st\303\270rre m\303\246ngde end m\303\246ngden af reelle tal, som man normalt arbejder med i gymnasiet. Frem for at begynde at sortere de komplekse l\303\270sninger fra med en kommando, s\303\245 tilr\303\245des det blot at kigge p\303\245 Maples svar og sortere det fra i hovedet. Man kan slutte af med en konkluderende tekstlinje:dvs. l\303\270sningerne er 3.3701136005 og -3.370136005NB! Ligningerne i eksempel 3 og 4 er egentligt af samme type, nemlig en potensligning. Om Maple kommer med "s\303\246re l\303\270sninger" afh\303\246nger alts\303\245 lidt af eksponenten i ligningen. Men nu skulle du gerne v\303\246re forberedt! Undertiden vil man ved l\303\270sningen af potensligninger ogs\303\245 foruds\303\246tte, at l\303\270sningerne er positive. I det tilf\303\246lde m\303\245 man yderligere fjerne eventuelle negative l\303\270sninger. Eksempel 5L\303\270s andengradsligningen 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. L\303\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print(); # input placeholderKommentarerFor at f\303\245 de to l\303\270sninger i kommatal, anbragte vi et punktum efter 8-tallet. Eksempel 6L\303\270s ligningen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbW5HRiQ2JFEiNEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJyZzZG90O0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JJW1zdXBHRiQ2JS1GLDYkUSQxLjNGJ0YvLUYjNiUtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRlZGWS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRjM2LVEiPUYnRi9GNkY5RjtGPUY/RkFGQy9GRlEsMC4yNzc3Nzc4ZW1GJy9GSUZcby1GLDYkUSM1OUYnRi9GMi1GSzYlLUYsNiRRJDAuOEYnRi9GUEZlbkYv. L\303\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print(); # input placeholderKommentarerMan kan sagtens have ligninger, hvor der ikke st\303\245r 0 eller et tal p\303\245 h\303\270jre side af lighedstegnet. I dette tilf\303\246lde s\303\270ger vi v\303\246rdier for x, hvor to eksponentielle udtryk har samme v\303\246rdi!Eksempel 7L\303\270s ligningen 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. L\303\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print(); # input placeholderKommentarerIgen benyttes kommafidusen for at f\303\245 l\303\270sningerne i kommatal. Der blev anbragt et punktum efter 1-tallet i t\303\246lleren. Eksempel 8L\303\270s ligningen 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. L\303\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print(); # input placeholderKommentarerKvadratrodstegnet kan du finde ovre i paletten Expression eller ved at bruge Command Completion: Skriv sqrt efterfulgt af ESC og Enter. Eksempel 9Man kan ogs\303\245 l\303\270se ligninger uden brug af solve kommandoen. Man kan i stedet bruge konteksmenuen, dvs. h\303\270jreklikke. Lad os sige, at vi \303\270nsker at l\303\270se 3. gradsligningen 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. L\303\270sningIndtast ligningen. Da vi \303\270nsker at regne med kommatal, bruger vi kommafidusen: Vi s\303\246tter et punktum efter et af tallene, her 37. H\303\270jreklik p\303\245 ligningen og v\303\246lg Solve > Obtain Solutions for > x i kontekstmenuen. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEwc29sdXRpb25zfmZvcn54RidGL0YyRkM=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Opgaver 3Opgave 1L\303\270s f\303\270lgende ligninger eksakt ved hj\303\246lp af solve kommandoen, og dern\303\246st ved hj\303\246lp af kontekstmenuen:a) 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) 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) 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Opgave 2L\303\270s nedenst\303\245ende ligninger numerisk ved hj\303\246lp af solve kommandoen. Brug kommafidusen, hvis det er n\303\270dvendig. a) 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) 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c) 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d) 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e) 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Opgave 3Bestem kun de reelle numeriske l\303\270sninger til nedenst\303\245ende ligninger. a) 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b) 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c) 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! Numerisk betyder i kommatal!Grafisk afl\303\246sningI dette afsnit skal vi se, hvordan grafer kan hj\303\246lpe \303\251n til at skabe overblik over l\303\270sninger til ligninger og til direkte at afl\303\246se omtrentlige l\303\270sninger. Id\303\251en er at betragte begge sider af lighedstegnet som en funktion i den ubekendte, som typisk er x. JSFHEksempel 1L\303\270s ligningen fra eksempel 1 i forrige afsnit grafisk: 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. L\303\270sning Ligesom fra andet afsnit:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInhGJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUkjbW5HRiQ2JFEiM0YnRjktRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZVRldGTy1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl1vLUZZNiRRIjJGJ0Y5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLyUrZXhlY3V0YWJsZUdGPUY5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRImZGJ0YvRjItRjY2JC1GIzYlLUYsNiVRInhGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGRy1JI21vR0YkNi1RIixGJ0ZHLyUmZmVuY2VHRkYvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGRi8lKGxhcmdlb3BHRkYvJS5tb3ZhYmxlbGltaXRzR0ZGLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGQUZERkdGR0ZERkc=%;H\303\270jreklik p\303\245 plottet og v\303\246lg Probe Info > Nearest point on line, som vist p\303\245 billedet nedenfor: MFNWtKUb<ob<R=MDLCdNVZ>J;@R>T:`xrmpXj><Q^`osb>c]LR:whSyBXr;cULUTKIrpMR;tJV\\Mk@nI:EDPcUJeEWKuU_mNuT`]>lJtPNf^b_Wh]Ohc?hnGgioGaR<=sB>ZD^h??EAtU[UX_UTIETcMPyJ`e=tJtPNfbVEURcUTYMJLaggFeswYR<>ZC^h??EatUGEWiUR_US;RQ[uyo;QBWEDPLnnHqklpj`ppPPsvp:apI\\B^h??EiTR_eUMeUIMZiKmYBX:VDeeVAUSPyyIroK>Z=wgggg_ogncwSh_y?GBWEDPLonLQpP`bpwLy>;BB`N\\@Nd\\QHmxhAOnhoutsuyyAuYDtShLqIamE`UnQnEaJK]SkDqR\\xILrETPJAj\\\\MXtjO=U?hWZMkI=mr=XnTuNeVT`wPUP_PULPW`UtSLOltSOas^IOsDnWLQ=exJdKk\\RrtJL=w:QMG=Lx@O`=P;=y\\tLs@uEXtSaUrQNZxv\\AUp`NEqpfAStISttwQ<k@QxKItQqoLqyxtvqiywqSbpUixt?JZ<lxyQMi:<Jjtj:C:;B<[c:=:[BRCb:<J:<LZ]J<B:;DZ]B<;Z:tB[Z:R:GDB<J:NZF@B;Z>>uEfuX>ifyhwa_=BFWgAwIpcU;<rhMqH\\JW@xYDY>DUa@lFyuC\\JStLH@JZ]PKQP>>:K:B>:;KuQU==Ry]PjhjyxK:UoHuYa<UQc[yrFCBJYF[?TBaXCpydtl_xUxQtne<ucK;[fiwIyiPpsXhlxxxwVtOLwlRZ>ZRiulQpnOyn`hmqnnfagOqTBJYV>KZuVeXolH_mJpikY[cFmnfeGBbYB<CB:;fmghoCwNIGcQsOCwvIYMit:\\xCDj:>fuhpovi`?vaxaOpvaicQ[]NZ;BbetBSBiwihcfMqfeGJbYP<DZ:q\\IYlHomnYr:ilenneH:SBjwgUSd;Sv\\GyXGBoQYwWwiIB]esmaySGb^Mdj<J<\\j:GjMN[?Pe@NyGyeiqxw>ffhawOwAHjQqe]^;;Dj[hFCFj=EZYBgmtQiyUocwOydwiw?O:=nJ<KJ<WFAJZ<xPyt_XPa]yymuvHOw@r>I`BN]<FZ<Vosgo:qi_WpSgj<GnPxZjNhXhamYr:YtaPtWYqLIn=oneN:kBJ;CJ;UoQYWextey:UbsaWpSisQy@YBRCIQkGBucYSSYmYC=M:D:;B:=DGisCuCYKSqywEubISehoJ:ANThR;<NbmOV=lPpl^xJI<K=>Z>NZ>vcuWkJWhuxcuW[Kfo:?]uFuf`dhVcYwiG?]:BL?C>;CZgi@Cy>?BFggewT_WuqgypCfQwUpcUG<rJ@VGDZBNjvoetaxMwaF^qlQkcQGHN<aK;>]qok]fytytxWmJIl]nneH:SR@?R:lrSXvBulhDymTJ>HZ:p[bG]<>jkgdhVciqqefuux^wwwuone\\cNZ;jKXwDuvHIyq=NxlXFaXoJ@UsJ>]qv[YNcawsDwevGbRB:SY\\mb:v^EYsLIoMOtawmCGpRHwdkK<RZ>Z]QvixioYr:ioUOtnapcQGNj:?Z:BrqvUCw^IScYfI?C=;B:gY[;\\]pgsGetniVOySys^`fLahojBHNJ<J:AOu]xBMQkMRtPX?MQymune@\\rhTbZ_dghosIfZy\\y@^F>:WB]mb:;j\\xNI]ypDnY`y>@`:>xV?[>BFOEIYxqUDtIvIcfqmukcUGrK;K:OxnIoYq^nRsYw@;B:;YH]B<;BRcDeYwLIM^XnAeygiR;<JbIJ<DZRfZeYwLIwMQtEw_Cw`iOci>pa^:;wGKB;^wTV`=NlnIsa^j;BJYTvyU?\\KuXXaayJ=Xqqon=wJHwd?Z@a[m^:[CmGisCwyoyE?P:<tq\\sJ>j[g`qv^wjX\\QZ\\[:^xGV`>>:SfqwupYr:iyuQd_EehoJZ]kkTBGVmexd_vtoyFAr[Yr`Wg;<Mm]J<BMwUwQStaxMMr:;BZ=VbEE<Tr<IX^xuxqtiULtLX>aXoR:=H==J@HRxtOwQyQQtQyUMlJ:nZD@B;bcueymGw=x;_XiqE[=JZ=vbEM<lmMmPUhTb\\LldU@lROEqfdUt`vAHj]urFuT=<JB<N<DJjamlHufPwoQqcQPjLkDiVcikq\\nitq^\\[:>]=WsJB`[dEQtSWpilqJpqyiYMiDCB@=N:Tj`QqUUP=TtMqneHZB>a<FZ:^[LQxlxam>hmq^[C:[C?ktJ<j;EUUUlHemLpQvATDmNGuT=>ZC_Z<J@Qxl`x=xMBuwyxOWxQiMqT<J:lPK<[:wqonf@nutWkjJFdM<DZbynoh`cAykGsphnqoukfeGB:qH>KB:;wQssMoSX_d`uV_WGQ]SQUZWF\\BBbyBIYlrDN?QVLmPeMqTBuKFJ;B:ugwcYdyb;GgcCw]wcFuT=Vq\\><xlPyt_XtahnQuUoYr:YKVqw?>frH\\BjeTweqyGurHtMPpWWQNF<ZF`Z<FZ:^x<Qytxq:@ySY`<MjLTB\\ZZIionf@^^cYsifn=wjFqt=BjwCVMr<ts]HL@\\QIyK=tOx@WtP^:r<=N:ts]ausDwkYVcIr=Dsl`SQUZ:hi]hfBb=OeUWdxQyQEwxiY<AZKhbZBZAFXiYQMYrAtISBAwCUo_:n[Fpl[BpYwLiFCiXCSZ@QZ;D:gyrOYOMGO_fyayIMr:Fp:?>;fUuHh=SYoYdyGZkFF;B:kr>Cb:nbxv_w?x;x]@nkVF`W[wVr\\Pf:>uEXvrIfZquwFwbIdMiT<wcLJ;>uGXvrYkBxwWYlHh]mfeG>:Xn_=K:lXLMOCuWxHOWIq==]:rPSH><nMttoyw<]y?yLL]O`MqTBwB<CGNKCgmysoUiwXwiI>[Rs_GWGI]yb;GeSStOAJZxoB\\JB\\mJ=ONQPJyWxQYqxw[<NPxlqpV@<K=>Z;>bEA\\<vj;nap_xbIlnOwN`xUxuJnZ:RZ=DB<j^dogHSAykEuQtIlN`STJ:Hj[<LZ<tHLuL\\lGqVOLK?PUX<M[ukYtW?Hjfmtne@kBD?R:[mfmPePYwpulArBPUUUlx=x=DWpmlj>ZJ>c>NZ>n\\Enj[vsmytF>\\@>:=bK<NJPuqmL<OxvFw>I[cFlZ^;Dj@qp]@KVpbJI_B^teihhYbJ^ZG@`jiqiIciyqiOqTJ@ELB<LrTYGJ]mWweuyHwRIt]PtatmBuOjym;?jZWn_?[:?hfxouY`=v_w`^WaqC?]:BJCb:;RJ]IumFWoIgcirQfnUwPCV:<JU<yyL^]ywSY`causFwcYdcqywOR;B:UDxygB;VviewSGwKY^yb;WRA_SQUJ:Hn<UsJVvgiuqwp<Ar[Yr`Xo;BRKI>KJ@ytuxwDevlDFhUJQP><VvdUwPOg\\OBuXiQL@<J:<u?Dj:<rrIqteTtaxMEwitY[\\K:<JjxJTmj:\\kQxymyYvAPjAv;DFpOJ<[Rv]HX^w?x;`haqkn_vB<kR<cG==jAPTCMYiiQymVZilQ]SQU:]VjSJ:Awedl^xpYqxamJBTZ:>uQnfB>ZFpp\\GtIVZqqwCwbIPmhp:@s[<\\jNqDifcQr?Nr:jaARZ<JjLmxPyDMQumTtQxEEwRIPMiDLpRUb:AwSoePpurWbtawmF_PV`Wg;Hl@aK;<jKQpv`OWPQ_duvHOGuSUpo@<:YFJ<PtllQhnMtN^xSxDNF<ZZxbbG]<>`Tn]ynlHomNpoVGlLHcMit:>Zjn`B^Z:njYxvCwnIWcyFyC``yvgt\\@Q[;Dj[uvssiUDtyry]dxmymUtOAJZ]wjpj:<rjQW>HjymyaEwWxXFuD@U\\mj:<rjMW>HjR]kj<Z:pa\\>\\:>]xVweQtSX`LyxxxviN^@>Z:fi=?>lOG@PZEUxqx\\xOJIuB>jxOvyap:njAYpaoiR>eYwlx@y<@@;Bj<m[^aa`GQONB]]xwSY`yWgKYbAdnuxhhrQdSQ]J:<RZ<LB<jaalGqVOuoQiSQHPtqv`ayJ=xSyVx=_:>Z@NjsAi:nvGisCwkXFcqywMnZ:B@[c:Vp`qv^xjIF;<Z<?^:>fHinEOleQcYwigf]x^Gb:MVGCJ`=QH`ThTy[=v_ylGuD<VkTb:AvsnknIrAniU@\\[C:HT>LZ@Vsk_nywyqwaF^]sNftP]:jA=^Z?hVvrYw`jAv;`xDY_`XO<Jkpj:<rZ`Of<y[=vXiQcAwKUtOkG\\J<<JwyThTyUYkXYqadMulVtP=;W<UsJ;bxQXWEwfIUcqsWKr:<J@@Lm\\J:LyaEYSMQqmStQvEDwoxtFuT=<J:LQZmj:<Ry]OiTSatchouNpnahcQK:TQZ<L:<wwxWxHlH]mJpQvATTHmkdUG<ZjdPGNtUwkYVcaxcw_xG^SqpcQg:BjwB<CJwXx^Ikn]yr`xMymDuvIYmhp:Ki:=F:;tUSWemYU?tfagnsIiMiT>bQ@[>bayvsMLa`nyMyaDwayQqdUGBfYB;?B:YxsMyNyeS;YgiHcSeoJjxS>LZHngwguY?bvCdcYnTtOA:IBJ;Kr<moiXck_ylwYYG\\q:qO@AZRfb>N:qyokV@kUvEdj>Z]nk:?ZZwiXhamYr:`^WQq?K:<P\\AyyDauYhhamYN[hauKp[WN`Wg;\\QaLJ;<jhiqsqnyUxkXqquJLlJhuuxhuqyx:uYwHyy\\NxiP\\xT`uVaeSQ@JFhN<D:muuuStYxYgfAsC@KIm;dB]F@kxX=B@wTc_TlcU<;Hp?C>;BpqX[QbnitQMtQyUEmd_MiT>bIFpb@];h\\Dfjp_ixHx:`ySHjipqLpwWYlHv]pfeGAb>Pb[fygyqyYeYIyHyhFwl<BJyXFADZ;dpUC=cxteYAyg=svQuiLoyjyBymVZifQ_SQBtAb:=b:MgQYwFABfirk]fIwIpytF;D@<ZfG\\BBUiGf;SiqiecuywGWCArA]g[\\M:mPUhWSUWjlTmhKy=y=`PqtvieOt]xbHwdCZwsB[B:IB^UhSeteixPwrR=y=yEvYYG[uwWGWSI`MA;H:[B<\\Y_QpyhqbDFMdUoh^efWUt_=BR\\J<^nAx[_x`XAlxVyFOmTP`WgsBAoONvl`_ehwKptxyjJooLql_nrX?iXViyo]A>ysVhMQpfVckQbgXd[PkiaxwbK[B<[BLUfayiwwxyGhuAT]IHpcg:Uis=yJMIwMuISBmSH`WgScCUSBT?ScCfdwvCYWt]DgiDgowq]eMUUOQSYMC?=FnUys]E^yvfkdQeHQcL`mUgXvxQmDTxSdT\\HQWAS?xJOe[u?fQH^>NthWZwAb>@j@xayIuIVZqvgDWtMqneH]KnoLIlF`lePseA`ZHk_y\\OV`Jg\\<PgrwaIHvNi[_QcKffhXqDgvqNojwoeVdCP_QgcC@a:^[InfB>jZPeXox=ArAx]DGk>Hwdob@XmHOscQxdqfaq]fQmDFxgphCPe[n_eNlKgbLXlnYuv>gWNbqPqwaahqxsVhMqlf@i;gpGp`YpgUqudgjrq]gwa[gnhVuLXlVAiivdcan]@ghqjR`=Gv<=N>DtTQmnMx^`xxYyLhWUpo`]jrPUj]nbMVtxVQuP=Io?EYOam\\PlfQnYqvKxVDHJWEwxYxrxvaaoLHT^EV`UnOAOYYqSejRmU?UUlmoO\\vPlooeM`HJFlLgTR:=tvlYfdMyl_Cyc^xisy\\MitFplGp]fIsCnZn>]<fawaaTQ_pI_CprlibSqdLGsD`fQv\\cg\\<njJFJKb^eWGLv>xM@lusurne`FVkbabQVZowdcW_cvn_IqB`oFWvVFaOw\\u^oG>fKaaj^xbG]<Nj\\ggGymS>iwih<Ar;gja^`cFg_wuUA[;fij>xIYfFGy`h]FPos@o\\HqdqthpbWPr:WfQG^u@wqp[_v[lh_i>jxW^JRJ;YXwi`=VtMuYuPA\\LPaRNMoNPs\\LL:aq[yyvltDTxxqo<uL]mYeAlVdNSePI\\KWLZZ_usomYq^nfagfy`y`LY[nO[X^u@qocflFpvuhqcPtDQgeAfgpdPGoLyjLA\\:wZraaHNdg@nsac_HgQGnRPxxQ[]g[]Gq:?lK>[:Hhpaxcxam>hnAoyhqbFfZIygoujG_LIfEGdCicAy`AVakH]UOo^_hwWxjhkpIkpy\\KQk>XjTyraIpQymm@hdGdEXahA]nXrG>s\\w\\OXkP_lSx_FfwfpZJ^b>NZZ_egxoEwfHuesgryHXSFF[xF=Io?GIYGDqXLWEuqhieILOivghAQy@AVgGhiYi_eRnOYsOgV]hwacxidMQS`Krw=CjwWWuYXsBrIImUtKcVdKdwEiweU;=UcWEscReCE?=yZWB=UFNuwlqhfwrxuFw[ykuiEIB@uTb[DTkgu_EYGI]yhEcuwWGWKI^MiTWBsgYuqhLkBhMePKC?_pyhyGuYyQxEQypYuiuJxqy:lpedlDMmWhmodU@<PP@m[^kUprFArMyn]f]@JZ=PbIN:lbmxfwyiXiqEWmJB:kx>AW;;EaSXmUUmSB>GJ:<nE\\kR<jkEXcQlnisqLtwXYnHK;<J:pokpj:<MADuf`pn`vAHJEQPWeK:<JRDNFA\\@gepV_wIwIOtwYy>H:;BfYE;?BRcVyOyO_xuyuEuCX;KYl@bZKB;;Hd_EAMyrYVcyIyYTtEw_StOAJ:TNDhP><rbLXVDw=xKvqP[Lr:BvsB`=[GyvYXciiqafiwipn_vBdT<JZ]rkTR:\\kLPXSMYuiWcqsWLr:fi_qngFecwtnG]:nZ:@BSf\\_UPosWWxqoLfAmcQWZDoP=kEQpfppAMUFDnZMrXymAuTcUcMVfvoyh@Z=iK;B]?fVmdXAY=yi=CH[=rvOU;EXEQT^_dJetmavocIDoxDoTemfE[RZ_XuIYfggdeVRUW=;VNSWB;b[uhn_vIaCvmxSCVZ=GrOSAMHLmgdsGOkupiuRmYKEH=cT[;g@GymAIFih;;W@aC;;HFqdQgfmsV^Weqc>Hj^tPW`lMdscqRAHJHqKi@TthoOMnwhV]UpQUY]QWdUvr@Y[ptt]Sv@npYKdXQwtkZ=wpYxRUO>iV?MPd@SlMlgxm=isIAlUpuQUOIeoJtWsakX\\pp^s]><AhtqvUCw^IScYrIcfSGEMil^DsOQj]dRMTtdQWBXv`hVSESg`vdXUgPL?UUHMp=uMqQsodrainUdk]QosDOMDuV<X?qVfEoLMTshVvipIQYjlVtxyqyMHeODYo`aLO`VQdyIAUxHylaY_TnBQrFqraaPYYjetxvmP;HT<=N:ljKQuT`XdalnItAMteyoUp_Tn`t?pav^tH]\\atN?q`AcpGdEhsQ?c]GiOWhKGaCqpe@pOHcWoeFggGnm<I_WAs?gdCaeqykEhsBqd?gn`abZq_BIlgXsVGjGnnwgiXvx\\WoRxw[WZIwceWZJyg>Brm[SgJ=gquFvMx>yeSptU]j;HTPUOe`TK`wShw=`ojaX<ETohOb`kH]WuPlTQYV]SmlpNEWtElu@vBmxFdYRAYxeMxtYUippxq?MPOdTlDlgpXrLUQAjKhRZ<JXXDdqXuwGIsX`QkyV@lYnYNcdmhissDtuDvCdSDMUcQYe]lbPqx@RtDqqAjflP]USHQr@as<xuLHtc<XZ<Npiys]YXEP_YmpEKdpv\\Pkptp=ipFAXGLqp<JIYj:=JFTKIYlHxMQpykyM_xXXIPWeKtLKeMNddTDevhto>pTXxWUerTQoddsYurhLOQdXn@vdUpW=kv<L^UywaQHLtjtt@<nWDj:<M@tSYPSalSrYQCdyvyFAVAEV_oGUQT_SfsiUpuTkyCWoT\\KGsSCUyxeEgOWSd_RMKehmeL;uvOxygroyT_mHWsDPaX\\KGaErOWiZAGTWiBUiJ=fgYvmAIjUrVUE:oX>KjcUweQtcYtLatNxq]@L@Xu@QnZQS`LvieLTqrGur_ykymP@\\RHMpoUW@uPg@S`PNuQXdho?=sKMpsaYhMUCuRUqkEtSa\\LomocQuD]TCHWP\\W@lUQymAexvhka\\mT]WW=PyaQoHJjLkUTl;lNwdYdyOZlY_iLyuR[xLrYOsLK<Io?EYctTcUOcTscUy`hUNxtRTN?QxlQoMLkAMNlPPGXJ\\PsOeQgUMAEu?eTaloCQpLhSIepgeKcdWFaQ^]lKmSq<s=<txlQIPkctUnhV_dyIYVAysQHpTAJR`rbYJjdVweuyFp]vbvY]IH\\@nbFxq:Q`yxt[GvNp\\w`dQwfnyZIguwXauYq]hdQxmAAeXomQxguOsMxtkAtHysqiopbk[hFCB`_ikqbnawSCV:SyMUGe_T[gUB;BJYIFOR:GRumxFMIumtiuDtWYQMIn=sneRRCFhixFOGpETE_v;;B:ucjSR:[CTIimmyPSfYmYC=E:utdebr_o_`nDPxtiuriK:<KNlVBVjnGv<`xGy`LYjANtEx_Tpo@Vb\\XmXgwwaoi>Z:>fy>m[b;EYiiIcEWCMiyuUl_GMit:;JJ`rFDJj<MiuqgdlDMtYmy\\dMx\\WtP=;r`kVB;bxUy_yG_gb?CweygC<J:<rJIV@@JbynIyQQpQwatITJidq^MqTjg=[:pik_]ygu:iyuaj;B:[CgKB;;tIcfL_XcQdnuwX_xdYg`WO:>fAWyTWbj_wqgoI>ZW>qhxqw@wwXiLIp]sd=b[KTMEFhEsDwDNUuAYgVah_SGgqxgOOJ\\XfLO@LYcEWCMmUXxiARF=MRTYGXm?hpxLtTLq[XWg@nrUYWXyV\\l=<J@yL;@JbinMun^xsxTNF\\kuhk;lX^`lJetmavodQDpxDpTA@W^hUe\\r__lN@opvtSgdhOt>g`[gnPfasWkcfjG_qw>ZZX^PA\\:fqj`qfyymqtgFwuyuqVeENyFidtNlKPhOGichw=QuRoiKG`=fdoovdQi`PnboodptLWrDgvshwk^sTPmTPtLQtLHwlB\\mb:;YxUsEQtCYdxyeamVFqt<oimUtCEIKaeh]XBSBu[i<EwpoXWoxp=yGqEsqhPqerEfPQYFubpseWoeYyuIahqYyiMWiuIdAuUyuxYHAitrctpix:SEeQCpaIakrKatNadcQLJqQ=Dr=yMqpa;xxbIlYbIoIlcUCkB<it<WF?UDMiuo_irGWSmTLUGsOwPUiHEtPWdVqED[hleSkIYcqR]AidmSDaRpsB_IhSSUd_dNmWSSfiiTI]SmkhNEs>mhywUugIXyULwE@KFScSPSEgwR?EuHMho=BYUGbkigyVH]wlYItogOYsGewFetVOfHMhm=E;AU\\[LFYV@@Jr<oohPy\\KVEq\\dqxQqcQWj<KohTg@ST`mbqNH\\tN=q`ASpETEhsmHKk`qdHasj\\YvDanhtPqqtAXTtHlEPoLHqhyMQTmKhoDPSGIk:iUJXNUulqEmg@k_iQOdWCISpmmW@wtiyOUT[mQ]PkW]TxUpaLO``YKqlVhjGym?iqhyMMQymtnnXVCHpvUtsayqiqfUSOHVT=k;pq]\\L:lVK<K:XjrMx>MQx]UtIwIenmyvGuT=HVNUOe`TKjeLK<YtCdROqprAQtDpgQOyUwkUMQUyUpU^qOrLlwTpaQm?@UxUV[DXnHLFLQfajnxtuywnYx>xNTPWnyVfLQwasuXWgUMDMQLpTPEu?DO:=UE=JRhRZ<JpYwCYLcarCDwgxp^HysUtOAVJPrML=EwtQwo]TWeS`;SLavpIBsUiRacWaXokYyWbiicWkYvOffEIDmhiWIbQvwifgGe@gsA]F]OcdSE[GVOUGuIySghkof:Qcb_dboHgatNiyeIHtAC=TxB\\J:qYrmmYlJxIwY`nnMunePR<qjpN\\PT_`ThQxdiX_Iyp@NghodPtviXfQnlETAUKhpPUijpiYklqKqvmhWwLRQtwiDshlphUpTAYfepwaw]yVhhL^yXOEYghO@=KFLr:<PV<K><Rqpmxdlx=x=DOK@llHUMit:AkjPTQNd_VnsiqPfq@xnO@kDos<qx`hyTGq^PcnFncqvk>hMw]xWjeyoRngtn_fHw>_dHQjevh;IdnvhkxhU_mhixxY]yvshXp]VqvasuVgYHdbHgogfYv_AAs\\^;AxZ;LtHxnIoyUtk@UFyU>]kZQuR]LVEs>MQhukcqnUTUfmW>xjpiMm]unPNSPkfYsgyPaQXN`WxtmUpTLItpXv<YtCdRWXWtppLdT\\MYiXodqoLYup`NWAUfauX<SpaYyuyaIuxXVKXonqvMTQwas?dXFyS[IKGMo\\`soioMLqcAkldwMQL:<jxPv@aV:qUPyt_XDYsiSSYkYbMiT[C;?XdETXMsOMuDMslMuxGWQcvokBTIhv_idab\\IdB_gFUv:?gleTiUyhWIpETOIceMhf_VMYTXUwH[ILqrO=yFOHDIw@uHWmHO_c\\SUimiOUVuIcuGYyAUXmUKMhLodVgsaSfDiTQSUIGupYHUQGteeDWccsUGIW_KhoYYFovdOGTID_Ce_<J=TLdxteixhmKvlxulwwFZnawSx]@^_EyqEFxEVaa?wJ?_^tyoSbQtgYuqgdB]wlwbwue>OR[cYuyhyGwiyUxEUYqYuiWYyuIiSUMSdWrZci]OeDCXyEDhugtqwqyxxAbScfLESmWhmofEAB@QDgSR:qSXgImYu>oCWKdxCy^utj;BF[Sg_gLefUoX[;B:Kim;hKkSb[DT[tUEBwwTfkXo=EYWxXQXVsrnEC=uVmqrY]v;;B:ucF[xLwViOucKYOQeKYsPsCdMEfIitqUMibEKt]wRLydYMygQR=ATMGvmEebGwpiwUiIsuik=Te[rOCsNMIqyy=;BjaEbIb:Kuwgyp_xG\\nuxXupK=<rmAk_iQo]UmUu>yUBaWhiy;nrQAc@NjqyuywibpsMYsmgxlpnXG]qyuMWssp_WOlxPyDOqywub?]B^tia]:>ZRf`jhe@@u;hfjAyWxwMYiiIcEV[x?]r^irwuivvqiuuGbSifB>rXAu_?[bym;hsJ>h??hjAyWtJwsEueymGweyoIb<AJ:<jKePjhWAUpSawZpuDTMrimqEwyuyiEw]ykwI]ivqfOqTB:;VZoRleC;;tmkc]cyAyYrYH=sRH?ehZ]>\\Z>qVvrY_bvAv;wt[?nsqa=^oQ>Z:>Z]Ajuf\\]>mxAxAvaF^uux^WfaTitEO]EpjUv[hOb@>fVHqcWcPOuofe@>j;>]R?^RIgja\\Dfjpv]by]xwsG_eQOimicy^[VVa`OqT^kTv`gVslppwNv?PeixuBGgEQ\\]I`nWoP?kq?yfonohxKN]VyfDicqxqqqpdgdBX\\r>j[G`J@bjXeR>vDXwZa`xws;pdhVcawstyhZn^F>v:agOfaIoe]IdGIcS@ciwZqfpOgonqwf?]agp<PvPhnBG_[PgmyvLYxN_pQ_pTAsdXZvac?qffGcHp\\pOyeFdeVoNGlfI]hQqG^[=Hj>Nj:y[<g[]>gg?eTOlXAi=OqoWctgwoVtOEaCvNoDEoh^aUMusaKC:gUsOSAMpV_q?al<igYik_y\\OPgyOhJNfQflEPcHq[C@nPo_cP^U_v;>F[g[;C:kVZ]vAGbMyfwAHjSH]MiT[B<qRE]RmUy@qhS[Bygb]giwWfP=cEQc^]\\M`xyxtlQtGX_<YaYx\\;Gv`XllOnsfuRYfNyqUyfDicUOp\\iZOq`UIvpWgoIgwvvHiolGfGw^\\Plm@t[aehpoaO_DpvhNkv>ZFvZ<Fb:`Zp^\\vNi^fmvF_w?y[Ff:fiMWeWGlnFoCprr`swpoOYsghg?GdaFun>jdHoJvcDIpEXmAadmW\\L`njOgKyaXOlW_xyxli_kVPg?fr]F]Go\\UvvhNspOl>Pj:Oho@vBGt>axpHm;phupi``^cPlK_f[of]Y`OxwCAbw^aW@dnXdUAlu@^AGd_nnG_cW?ZbanaGjZHiKQgZvZWpjkYyYIrTQmnYjY>y[?vAxanfeGnrOXmP_nwQka__YQaZQ[a`hSqldfk@pwHfaNIvNOgIHjRgc?HyFP_pGpcaukfvEpxHvd\\G`Pq`PaZFocnQfZgge@miIxoQyjapLFdCIqP?dmaa<Xwa@]KxZ:HvKYp:?tv@aEXZsFe:>ZZ>ZC_BcD`es:AvkYyiAvkYVcAykEwauIMosYwYhYtokVRMEIkYIIR`AGSaulWdVEThOwcEXUUu@UWUATLIdnOhdyCHOrMKeN_v^SieusjySqWr<]sjab\\OWT]ID[wQ]X\\usSmbpqDq?S`OfDmFlgxqAFXQIjyd<QSWmh_OSCevTqtskDVCsx_iwei=lvJQPN<N;PM>qogHy[=vaxQOpy_yUtmXTMRQ\\YgUqFDYUyLhMyUqO@]TD]TUpXvEWxLN``qQeThF\\hNvWw_BognAjioa\\F]O_d[>\\>fs@?oVG]RyqrAmlicYXydcdKeUQyvuXT]tf?uF_WO]TTAS>ch<iHs[G`kB@os:uhWcWieV[Qceuy?KxqYuRGEbIXR;BtoTe;wTxwOquxTWJaOf`t\\UNf\\TNHknuLD\\w\\UwPQlGxRiXQx<PfQrT@kDelLEU=Ym?TVTHpUdPPaTpynr@UF]KFDm;hWuLqMiTOmorpxQ=vxuqXxNW@Q[dsHQSmYx`Xo;=n?etTQuWUtdqOU@rAQx?EuueU_yubIsX\\uODVFtp@USHmRmYRvxug]sI]JdTq_eldDT_qOLtJ:HV=UsJlrAUNF\\NMPTpTWt>[l@x>p^OGd`QiMia\\WtKffdfcAatDNcqv[\\q`poeSa[Kf]UIbvIZZg^MFguXufXonVqFfZM__iPghNwqQxq?yF>qcqnSwnXvpRfjMWku_s:h`d_qb`enPnFO`]P[EHk;Hn>?^:AiRweqypPfmXplh`ekR=?rEGGyGhGAW]wsyQu>ehgeC;_hLaiZSHsOfVehseG<wiu=T]Et`qvRuGPwdQ]hUqtK[UMaBQeU=SGVOUVQuxmtdeUYMdNivwwIMeyi?tywF;OiUQFO;rZibdiUpQdVSyW_xjyrwqGA;I:wfIeyoSBYyyx_xKyR@QsB[ttcc;CiwUa^N\\=viYAdb^niwypy`wiyEy_eYuiwqW>yuYZRqoNO_cohpotnG]:Ae\\oj:VnggiWOauodtNiNyqQAZ:>Z:nx?@b:Htpoxf`hbAlnWx``x<Y[`Xo;>Z:>]s^kZ@`TpmwVl`qvvqh[XqqG[=>Z:r;CH==bKaHqsFwCY\\yb;WRA_k@<J:<V^EXSeL]xv<iJyqv]]j;<J:vsG@b:HtLhsDWcEOtwYy>HZ:>Z:p]Z>\\Z_hVgqdfyYyyefar?^W:>jk@bZ>rb?qtgdtaX?P:<JZxrB\\JRlYqlWBuYvYnnyly@L@<J:<Jt]kWmjj\\uVtRty[[fusX`nHfZVmGE?OR`Ws:;B:;Q>LJFtOAIlhdULpwWYlXEY?aXoTQDqVmPoQYw`Xs:<J:<QJLU@@PVPS_hoj<xdYo`X_:VxvvsnG[:?fSol_Oq>>^J>[>bIWwDuvHIygMRAqcSoO<lwuxuwqocQL:@rtqxUyWGul:\\J<Dj:Tr_EWcUOF\\qpQmc?ZF>c:>Z]wk:?j[IxOydLIwMaj;>:;V:?UN]c[AxGyHLYEi=SY]Y;=E:<Jj<RFAL:aqAuk^XvAinIpQLpnahSQ?:;CNkVB`oypyOMQsMTtiri\\nYlyJaXo<Z:NZA@b:VhPqtvA`jYlY@caysULfMoQYwtymyuxq]OblJ:\\J<DZFAilabtFh<Oiei_cfmpfeG>:;DR]B<[CXwvCufHESiwiH=E:;JZ=M;@J=hvsmyFArqyqidUsPVtPM:>Z;xbZ>rZa`<ArKYnLyjYNmhD:<JK<Kj<OIqmCuVIQy[=v`iSciJp]q?<J:<M@\\J<\\xYYpamyTHjQpU\\\\K:TqjUtP`onXgSBZ;VB[BbyisGIcAt[Kr:krAegZ?qLhtvAkQ\\TUaQ:iTTQp>AuX<JjLKB\\JbyosHQyUkKyOx@NF<Vf\\tDDXSElLPLOuSXxtr]TOXmfmQbeTelrd\\Z:qyJ>[JyaQn_BsAQtWWIxaC;;HlaUWusN]DGiuJMGVayv=Uc_YDEvWoU@;VUGgcGGMiNjHj:gyKhsDWCwIm;RR@JkyVJLPd@SlMlxUQKMuWAUY<tLqT^YucIy`XLpppaDtA`jkLRb<J@XJ;@JwxXcQlnynyDSqywEml_MqT<nAPVTHp_PS`Lp]Qy:@XdETXePa@o^TqbypNdv]MTfg_OOcdvpF`yWg_rNdnF`WIipGnP?dvNlKafkHtT`dNhw^F[?>]e^j<>rvNZ;NieQwOGsogyj>hrApcQg:pmEhvwf\\gqtexyWiqjobpP_df`aNZqGbH`gWocoOk=f`OnvmNoRUsAu`ISNwGTQdm?F\\CB@IC[?BjSc:=jMxsEumxMOWYqA=M:AUEhvqlLLtRUDrZdu?AJwUVpEVoHWiLn?tRlxVNTwn=Yg`oLeRlxVTqqUlmJ]TeLUWIpAAKRdQEUSEmnE_ZTFj:fq[AaLyrYVcIn]ryxU>Z@qeRGo?ikpn]sNchqpH>f=_g@qgtPqiypEfgU>xqHgFabfoa\\F=BRSE>GB:aI<CBXwe]ASY[qiULtLX>aXo<r:hWnHxfUUY<tcAtEPs?eMg<qTaWQLu]tKfmo==Wy]vqAYW<PD<K=<rj=NJVxsaymwiKFxWXa>HZZwc[gcabVgBQmw<Wfbmw\\uvpEFCMCIUGKcdP=eD;rROFF;B=Yb:=b=WGQgyjpuwDwbIdeHZ@>rOOiUWgJgc?XgH`<Keh]gGkCI=WLeeASx[Iw>O^ngGLfhwhh>[efhSqwjXnKXonVqFFZ:NiB@b:XjkgecausFwhiecAukVtOAZ=XdCA_LauMyg?_lS`_DYefoqkFmYqbNGs>opiabNnmPO^TGd?gc;NfaFpv`q\\huppkZQm`n_Ly_>>ZbimQ^cQ>jK^pv`wAHjinqRFwj>\\DfjNwoQYaxvuJIwuA[l@mlqma`iQwj`ivsWaYFucqu=Fpvx^iwmaIZ:>vsG`=?jwIydY_carCFw`iccipQacQWhZgs=pypyveixtqv]wn]Aj=VoOhdd`wOq_>>Z:AvjVb:pwgv_EwgvH>gY`cSIUehovs?HRybckwouy`UVE_v;Vb<H]<^haYmi_yStQsiRCyj;BR?Te[r_EM_dTNxrXHn:<j[LRZ<rXqMyllHumpYr:yKy=WtPm[@lGqVOLK?PUX<rhMrchRyqM<\\j;<J:Al[<LZuXImmrYP=tQwIonmyvHwdmx_xm=lxfmPUQpPAj?yr:<JZ]TK<KjXpohPcyMxIRtyvyml`yvGuTmxWF<u;<J:lx@=N:uVXxNWPQ_dsHQSSaocQW:<J:<ta\\wl\\jgaQIyWMLmSHMUAPJAW[LWyxL;UyhYRFaO:<J:HXA=N:UooiXyEJkIt]PtOXO`XocYmWqJtaj:<J:<L^\\pFDVExvCurIXSAmkryPXTY;`qB<J:<PhAK><xwTY`dmwTSR<J@`mUpp^enWInwtM:<VnALB<vAHjMynwyQYQq?=M:lxLUOblWSMpTxMkQjdmneQJ:<v:<K><l`qvv?vHi]cAt[VtOuJUgOKvlO^bPixik@aaIomQgdhOtngf:>ZV^[;@^bq_V?xiy`:?=oGrOiXGgbKeuGfN=isIyjOTsad<YIw_C:qHMUTMmfE=BjGb:=D^Up^hn_DwEyOCTJ:ukrHwHiw=esIytDDXyyshMqchwblo<eSLPWd\\ru@W?MWeUUDxLtNsOOqghpChv<>]`^j<>fr><?ftUygEw[YRcqywEwjIVMit:SF\\kfSSUd_V\\SIHtr`]WcPdlWsrauOQj]fbMVtUWpBflFP^EV`UhgAgbuPnF_^h@ivNnOYsGpd^PnfQc@WxgYjwileOkIuGoREQTosF_MFgGf:iSEQhLOUCiTqOUUOcp_e^Cf:Sr??T:;eA=FBKffmTdsdCSB:IB>QxXOcp^u[Qku_g@opd:ZhGwmNpO_sAqpXohkvnbP_d`cPfpoahFw\\mGdOOc_qtSOjDanhv_pfpbfjMOqKXkdPlsp_y`mTP[Qa]Cq_dGpsia]GiOSNmKT]V<\\KMLb:mZ<WlIYcqxgEwXiQ<AJj=Rk`y@QR\\AW]<MntKjxP`ELPup@@xhQj]DumLkotm^Laogs;?i<WlL`wSpl]`iOhtPAbJqyTGc[Iw>PnTGtdcNUGe_TcaYhod]Ab[Chn_h^Mi>;FJAK<`vdiTcYvIh^XjG>xVNrDg_h_poAsKOpcxtyn`]WcHQr@?cjYu?PaH^xINglWiZ>uhNoCndsVf>>\\@>ZmmZ@qkUrITJqywMlJ:pmDHOY]pUutG\\rhLOQdXn@vdWqJw_mAbAgpOgdTomb@`E>j[xbR>Z@XZ;@^BNk?Gwwxx^XqqG[=>r:_jofmBPsS?h_q_rNk`q_dxns?fmox[WkeyoTotn?eL?iTGkb`VSuQMCNQs_cTTsr;kBKkB:Gv;=FRsX_QhnqvUoyTGb]urFuT=[crsTciWUAbh]GZiWU[VAwfMKctstneW_faYfiuNcpvo`ohMQctNlwGqk@tr^oNifUOhLXupo]D`fdfcAI:;Si;eh;Bw]xOyTLYEi=D@;bXMg^]DkOHgwsSiRsEypGI:?xnODKaclKkGpUIpqgQndX\\CQpLhCmeTMSBgv_iTa[DI_RngTh]TsOgQqXMeH:@nEdteixtuPAlMuimnAxAiyhtJwTpv`OWPQ_dYlIknTP]MqT@RBdj<MwlyoMLqnUypiW_LLCTt_]MJeS?@Y>en>epoUwI=JALTddlnTQuTWt`KZ]OKQPnl[@>ZmQg_gldfybw\\<>ZZxpbG]Tv`ygyex]@ngXaLIWMiL<TswpmKerhLWK`Q:<JRLXFALFXloh`CYlLygxWbR>ZFFoONvl`_EGco?eQ?:;H>?e[;EQSWeMtkYnYhyFMMSqme=VnijMUklQT`Xo:<JZXYFALFXjatSvAPjyoyQOWxQiMqT>Z:>][^Z<HdaIixQm;HuSGgxoung@RFCbZTxvDw>I[yQyYOdpVgtP]:>:SFB?RjKgTCVZMYT?H:;B:;b=SFJ[c\\gxoEwnpYR<qlerneP:<ZjNrB^Z]pnKnZH`]Kpuywung`:JF@Q<DbLA[=v_w`vYAifiZpgk?njEgc?@q_V_X?dGahc>Z:^hC@bjNc`qv^xfIanIoa[^[:njry`XVcEi`W?[:>ZwNbZ>]OVhmoywqZhquOp[WN`Wc`CufmT[?TBaXS;EDCV_oDwCYEGG?gSQOB:pOK<K@ErVa]KY^cYsiF[=VbbVmGQoXwoUp_=>Z@OsNatNHwL>Zf?^J^[uX[Q^nAyk_Xiqa^EQ`Wg[:harHgEodtWo[@oP?kuYgDNg?frgVcPqr]nebApDAngAm`Yx:VvB@DXZ;A`Eqf_hv_GwHi]`oZ:HdPGsbN`ifujaasomavobWoLHkbhfvxee>_XFsbOprHhFD_UICPZu_j<>rvRj[glGUcySyMVGABjkDfeDUwtO[rhKGQcdVgb@AVyof<aY@eDu?gv]WmAF_Ycp_vf;h:GE]ucJ=BRgRZ;E@uivifnUyppiLIv=qneDvsgbaRUQF]Ah`kFUoifgdOMgBHmRUweQrMLkdeRe`w[Mkktpn`p^Mq><NJAuuPXRAQH`xcynLYjA\\j;<NZ]m^hNaXrmYloDkgUkjloBTJ:>;AHk]EcyuyiuISBAmcRog@HJmXkXUTEALjlyBTJ:AXZhVb=UvIvIlYR<qyumj<J>dSrMEMU[wHBCB<=MFtK<Drj<OQhnquuoYr:YOi@mhpJ:Ar?hlt`u[uv[DqDUpEA\\:wmKQ`^Oes`_WXaayw`^bR>Z@_j]`n_apxf\\GIot@mt>ycVfsGi?GsdGeA?\\Ooot@ijYh<>ZJijJgqEYefp]uimnAxAeEICROXSMY]iCyqf]urHGehlmM=ONLvHhrwlXuqxgKM?Zj^ZDgnLpfawfGwLSVCod[STPwdwIe;WUq?C=;B:;Bjkb:=V<Qxl_XdadnUx`_HmSVt<Z:>\\Z_o[>]npvj>`wfgtP]:>:CBA=FR[fogHcavCEwMwSB>:;ED[hFcCDQuT_XvAinevD_r\\CS:;B:[CCKB;AFnKr:yixYgnmyvGwd<J:<JU@K>dypavCxM@lVaensIYM;oD>KbxMxvsY;CxeygEEufGwdJUALBLy_eYWyU:]QodviXM:<J:<J@@L;@nYlmxdlHumPpUweTtAw]Dw?lPmMZ:>j[abZ>woxfIaySHj=yjwYiG>\\@>ZfIrGWelPthHwl>Z:FZ??^binawSv\\Y_^F>Z;>de^r_GePWu]f_@px:>jKObZ>w_X`a_yyouwX_WNa^opP>ZwYde>_hGeD`lLNotomvpnAGtXGtdgsnGj:>ZnwkE?uwP`qvviG`twyxV`=>rRWhOpk^_nVgdXO_vhwuHpvQn\\oZdPZ@gsNatNplPpL@JZlVBLY]mWHMYrATtxXIyWQLJjlpVaXLmSntnUdM<ArHtoJMqghobXq_QJuuqHiSUMp\\iJOaundwD=MCUTMUT`XS:<N<DrmYs`en_hNy?j_GmhpZ:wesPej_nbOfTge?IZqf_EQCjOdLgEQCiQ<ErxmUQEsbLpjT`r`amX\\RFa>PZ:mZIYVeqdfyiinAByuT[[cF?Tb[hsAuIyxJ;XogTg?ST_ebqFH[tN=i`ASpETEgsmGCk_idGib_e^qSQUxqYytSU?aIklRUDn:<PE>vZPxsGwIxinYu>@[=V^_^\\DFoXwoioaTxZxYqww[RylTGe_\\fw]fxjaLoXr\\YvwqqhLQKiufeJj\\rRUS:<m?=Nr<kexT_xUyQuYiSbilQ]SQUjwMoQYw`>jKg\\X@t^`nOpoqH\\DPOMH[wViWB@uC[=Bjsc:tqVtRtaxMuQF\\MsLVtPM:TJOlt>]Td`lDQwhLLNmKrhJcIRYuJFpL<AJj\\MBnx]YxIinEwlvq`[xwwwsng`bIj@WkJqi_WpSqLGBggR;EDPMwlgGOMHTwGfIH\\uCIUGKDQETuQMKNQs_dT\\HKGuXThJr<weAjKTRR^[IRJiglEuISBquwDugxOWtOEnEfYWBpaWpSulot:oH^?BSAUVYUCaR^eXRQGBiSAivaebG?xZaFOsWHsChMUK_S?XschMtuyILyt<J:lK@XQbeX]`UPpsXhxqpLwlXFaXo<wLqU=`x=psH<J[at\\`qNXonhlNhvnnnWKF@u]EYsetCdb\\bFU^DidwfwtW]=Xjxp[:>j=>[OYqVF\\WVyW`XrSKREUSLIcMkyFAreugSog@cILaE@kXtYXawgugIaKY]qxgYuD]FLkfEABj[BDefLoVauVGud;[c_kVBkXm_ifdYTMy\\YK<ArRDWnxKoMW]LWYQWN^i:>ZjnwB^ZuFeXolHomNpgWQl`xnGsZwbpQE^YD<;B:;RJ?hb?iMoRR;ilebj;B:;B:Gh@aC;UiAyc_WTa_fIoILoUyemd=J:<J:pq\\mjZHu]yb]Ucigq?C=;J:<LB\\J<pjatSvsKyc^wXXIHWeC:;JZ=NB\\JL`vsmYU@teyoEuypyW`Xo;<J:<J@lj:=xnIoyum;xwyuuY]RF<J:>[J@fANjoihyq[>YdMOtAx=W_:>ZR>qZqZ<hxowqG?sl`yWfjX?f=i^:>:CrM[s:=hxowYIbrAx[Ew`iS<AB:;J>lTjTJ;IumpYB<yfYPcAt[TtO?`\\^unh^EQu_IlpgcQ@[:>rxhZiQtrauVxa=?x_ylFa[:>uQ@eXYlQxurQnP?dvNdLOnt@oN?ubGe:>ZvvlZgsJ^er@^gv_uIfZirQfcQWZ:>bZgcGgcSp?TRjMZEv\\^hn_FwXia<AZ:pqlWtP`orGbov`wHtH_lPxuF_dMG^xXiUHdg@\\qyeUW_bnun_ev@dewiQfnUOePP]iIpkqycwtYhrRixVViQYpmys\\hgayarySMysMvd[tTouyufYIxhsyX;HvAC?;rj=C@=FrUyguIF[uywwi[F@;bxUg^]DSTNIYx^IYser^DswpoOYsXqrmmmvPWHETaDqw=jVEsbLPidub]MQ]pOEs>]poluhHoJtSDIpEXmaQo`_pXXf_Qm\\isaAo`anF_noiqpYdIWyIQde>_XBT_GpkUY]dgaFqwg]?umyVSAIQgdNQShOiOUSkCFCMcGAuLef^OXEEShoDVC?cuTUfI?T:;eqky;?vLiFcEV;?H:;V:aWOSxkotaOVsehvcDHEwlgGOmTUygmUudkG`oh@SikWcDiR_sV[UVNcUeSgNEdfIeRUtcOTdEYqOs^oGqse][eLicV]TO_soige[yuIgagv:QeDSxScTfQVMYw]MsQcWCIUJWuxQuWqYPCShiXyaUEgsEGH\\EGyeW@]W@mhdKGosF<sX;mcfeU`Ex@AuZ[D:kVGwXZ;s`ef\\ETtQyeMr:;b;QcH]wjextghGuFcASTEUgeWwEupQujoF`tYsDnCESHMPghMqiPdAxxIvcaj\\PUKUwruy:dxn=K^dktppWxYixm_UvduypXXgMkcmrheKcloyQJgaxD\\kXhn_hNMiN:Djplq;@vQxqNpYyYYy\\Kv`xLHwd?r@qp_H\\OP\\UgokfbuA^aOkcvwOglEPaDo`oYuq@mVI_J`xhp]aFuppyZNlKgbOfgU@fRicggdeNkdOfQPf]W`pWtFYrXGZ<Vn@@@kvGwvxWeqkWBuEy]Gwivi[b;;B=IfP=tosRldQoxXLdMF=UchRIEOsYJuaV^lOgip?LWgeTODSCpMOYtuxm_UN>]wNUYfQnlEtBpLVaq\\MxUijD`v;Hp:=M:lj=AyGALVAq[dquqoyXmJDV:<rJEWyPLXUtdQsmymolliLshuqltqgxlyUnOqNT@tnqVGtJfxNvdo>]TTEuQaT:qwaQWXUTJIvZdSaLnlmLVEqElk\\HqE`pEdk;Lr:<Pvlre<Lvmys`xXYYxU]]xbGwD;rP?x>oFOEloqn?apcAkldl=\\mepTJMqJqqBqpw=XiAOSaqOxkUpTLIlfYsUTKvumepmjPTQXQfqL^tTciYYioSyQQPuquPlUKgdWJEvcaj\\psodUUEkdDPGQV\\=JbinkIWSLOPdygiRiiu]\\K:<M<EP_Yosdo>Mll`MyImbmodPnWDTlAJm`JeDmB`oFUve@olewgQRpETOIkeMpf`VMYTXUwh@RIYTI]OitobDUCUSHqvMpYWTyPTsEYoH_aLaymFudNiGwr>xnO@k`_lKocq>s=>ZJYd[Piwpeiqv:YfyXlXnyrxu_a]JXwDwfHAy[?jgXsZ?cb^\\LwlygmJinUypiS^rRCIhMuLMT?EYwGWjyELcHOKvxQBbiRpWEG[fLEg^GuSvl;^k_HtiG]lgecaxcGwHi]<AZ:^kePeSgnDfw<CnYrbuhFcGiSSaqsCuUvEFwoxTGwd=B:cYlGYmQHlAB:HqKim[<UXmlHxMQpQsaRTHmkdUG<JZxKdejrxY=apkXW;PJ:HvkLmm\\JIpMCunHESyHyGDV:<JTarlqmvhqITMCDvNQ>aXO;Bjku@uW@?viwYOoy[yE^wxYdyjyj`Xo;\\\\GQ_NR`WkXLK?PRtYuyuyqpqmimiAmhdJ:<jxXMg@RjavC`XlannevD`XxaaOAZL`y:?rhQb:>ZZ_dGpcZ>ivAuYW`jqtUOtvaqcQG;B:;Vf[c@=FjaIyes:MHccfMqfeGB:<JFhk[yK>lmadyZyJxQv[YOQ]SQUJ:jOHvH\\JeYwxWZk@][C:;B:KyZ=Y=CrMyfxas:YgiOSYkYbMiT;Z:DGsvw=CPyt_Whaef]wR_WeqcfQkbm_S:SvIYx@iVAuYZ]xRmd_Mi>;NFtuBUYweUtdYTMpfLr:<J]qquiuiQmhDJB\\oiuqwqtnEK:kbUYh_hbEWQi?=E:;VVSBL;B:AiUkgKsxVaenyUyiFWIi]yb<B:cYo[aqxuPp]wNlhqu_^[:>:;r:_CA=FrUxGEWsEuYGErEx?UtO<J:<J<Trv=NBqV_xQyIUtxYYMQv=uneP:BZ;TFqB<WgQefykyKMiqucj<bKwoQiXyaR?dF>ZBrVicCQxsEwqyiqYr:Id]krDAJ:>[lV`;@v@i[cypyh^F>:<J=qJYQPnIyaQtA>lxpyT@`:>Z:B@gCp;DNWsLibEKt=wB>GB:;J:ALR\\UEAleQSaqssYqCdMulPjxp?<J:<JjXp;iJ<xjIdnUup^HocHjwhN:B:qwpitl[XfyXgwUy[ykqIX]yiuypweqOB@oUuyuAwyyyhoUH??rVsHgSGcAGTWgdEHOkHWeK:lK>aupXn:<PLQWd\\Um]LGpROEOOhTmdUH<J:tJ>=N:<j=@oOhdkhhsqb<GtDGc_O\\;>piVdn@\\=Vb=@b:>:[tDinRYPDhjMMqfuTNMWE]JoPRVml_EOgqPyTwddWSMpTxmfhLNtpfDUGxReYKppUmHyBUowAKZ]TKLK:Hv:=^:Vy`Qwton\\Vi`n^COkGAud`fhxpF^t=Io?g\\gGsspdRagaNhMIcsFtVPoswyoOoO^\\I`fnFenavsomvvobVuCo`?PjTP[kanVVqrHxwwcOau>AjxobZ?`BfZ:Hi[PiwpuOQcBqx?^l:>tiwgxykUQc^bc\\Waqn_eN_PnQxly\\pqelpymJUVfxOchV:ymItPwIQ`Dy=hyBPPMhRsesiLWxtXghyo<rrAWILJEUcpgax`ddFgpohpxm_FZ;htoq_=WyTIdB>Zt?vpigMi\\novh>aLheNqtRfa`H]UOch>qDyrTpbhIvNpg^QcD`^MQlgAo\\w\\o@urqhg`oLkQXu@My[IK?_nOE?QrMKeNHS`hPmHMx<jkYpQ=]Zxq@ViaPf:>]ogp<posNlN`l_uYai`Or?AeTwXZcCaoWbsTD?G]AudKYUybnqSLQtpWtBMefGSDsrNwxdOeBwRN_hVCSKevdWc\\ubM]cMKr:;VXSWB;BZuEdevLOGlgTnaiGqixisxyYoMUV]Ii_S_Kgb]tKih<qxg?cfQVuIYvyrPUcJ=UcgRyIi\\gUKmFLsTAWt:SFC?H:[CAKB;;Bneg`OXcOFSLQnxwriW=eOqaNbhLntmc@shlOdExlhoDmVxUWjtMXpT\\LOg`opuQtxk_iyJIpIxl:TRE@P:\\;?B:KiOAwuyecauGyEUGh_OS@utWESdGgjseKeFTWt?Ae^?UXyi<yIYAuo=Gf_t_UUO_S^UyPafGwFdeB_WeaWBViBsKcdMbPGF:;RICh@?B:Ki^qUIAOpPuQIJiMkW]ThLwbTpZQW`ENc`S_LoVeP_@x`ypmMk@MPD`na\\yWhj\\EYseRCQWSuRZyoM<WREs>]V_MUyxrTLJ:<RidXwhwb<JFLugYu=MqgAO:Hj]UuK=^JQ`>>Z:>Z>>];@Z:B:KBF?R:;B:<KjLJ;<J:<JJ<V>>Z:BJ;V>KB:;B:;F:AC>>:=bK;C:;B:DJ@=^:J<J:>ZB:CbOUT[koOpXGuL<<Jj<k:=J:TyJUO>iVSEWk\\j@<JFXK<DJ:BBZZ?v`pn``cQDRAZ:NigpdJ_ul`fon]WPiniunqtqi_EGx<XusxmywkmgtDFhSGx<Pggwr?Y[ohaeQwr_[j>b>PZZ?aJB:;w_OU;ExBmJEpmvtsMxvOdVuDsPIjvXmPhln]VimM]IwlQWLEmDIJHiNCelFPNmQtGhkmEY?UUO`S>eOAHqcEUgtvTIvwDj;TNN<J`ILB<JZxVdMOFyVNE`OxkonmEH_Y_PIURAUB_UMEvTLWslRDhvEPpqiYhpJUer?al<YmAhUNmOdn\\Viomghoqm:H]>PZ:a?=B:ciLUGe_\\aSeYx[IC?ePehpWmkK=UMDtwmmeHNtDpOlJTtvT`w\\aUgywC<Ml`pn`Vt`ZZhqZOq:>ZRv@_h^aXrmYloFsYFqAg`KrWkCr;tsOiOiyuMB=_RR;BFYFJ;jXTpEpUEUWHUkT`NO]ye\\yW]KJyXwttx`Xyqm:AnJlJ:Hv:UsJ>wO@xnP\\mps;v\\:>ZZ>ZC_b;_dKGg_ghQhuuOrMjMIPodoptOjiw`aUWutOivuMJ=\\RR<J@xJ;@J:^cRGoEi]p?yKXonqvMF`W_s?WuHHoc@\\IopopZoWhhpgoWyX@Z:@^\\hfB>ZpisKOtlOeYPk`adW_cc^]EYseNcPWciyiNGqdQv`yd[at\\PoDX_lHiF_dsPgOGqsAklfsaaw\\aeWQuxqmLhefP_qgogia;>Z;X\\dxteihMib:>bavpiwuPO^K@`Wor:`tN?kA_dD_do@m\\HtY>gQO_O``uVaeOQ;EE]hFCB:AHRAuT[XLgg:?B:SB@=F:TJPUO>ypiXKB`pYajF<J:HrZeK;<JF<UrMVlUuwiJ\\Hqd`QTej:^[Z>\\:>rZhrlQxv`qcQ_:B^Ctl[B:<JB\\P<DJ:>ZZ>RB:;DZ]:<R:H\\:B:@J]>Z:>:?JZ<J:pmdHojyyTYqyANAMsuqs]yMGaw<hq><WR]kQtVklUgHtKHSK\\k:iwG]wNiT:=OEXpraL]LvYErUypoujQQxXQnGdr>qLHXTkyKSXMf=tgmLsuoLPUemts`Nx\\XHPVIMrT=KV`rCIYWALsQobXm]qrXDLalQU@u>qwWMOEHjSHtwInYTttIPLUW@UPTHMwxUOeKfuxMysmiYtmXDxvUiynYt[UR@=QgPTQPl?@q[TnkYK_=J:\\osLL<<JjAoJtP^=MWlp_tJqiJ?iK=]kwIJ:TwKtM`TJ:tk<EOAexiIkOPtDtJmMkNTxdmy:AXftwblvXITTHtn`nkhpCTL:<Z[I[;>Z:>EqewSY@cE<;bdKD<;BbYHqYi;cfn=U@=H[SULmFTEeT]tkMwJEGg?haGWB=r@yRL=Bf<SB<JZeLsYVsEQ?anFESPmtKXvrLS?plb\\UDUOV\\Sb]oTmskMplPPKMl<\\Wd]N?<rZIlJ<ZoGn^`x;ajfW_eQcRNbDgfgF_mf^LOZfof^fZ:AfK@\\:>rt?dtfnVh_SWyTp]Y>y=N`ofoSpge?m<V]RIwMynAf]<>`NAe_?[:ntK`cNAd`hsxIpL`^yWm=>r@vbl>ZFn]CF:SwBgdgAxHGBjGsJ_C:Sw=ST@?BZeIjywO]rNofSWE>GF;MH:[gY[F>NgmyZnnnhWjwwq\\WvP`w>?pcGeLQj\\aOCB:kTKST@?jdXofpL^]R=PPLdM`hJ?PTlMpLHtjqM;Ho^EPypVKPJ:ljIxoVmOQxJW\\J:\\pmDQsDoB]Nl<wj<JfXJs`UHUyqywY\\XR<r``rNHN:<Z:A\\]F^:>Z:>Z@@]CFZ:>:[CkKD<;B:<rJTN[<J:pNxtmIuVY=Y;uLY]YkAn=EJ:<VOIlJ<:;b[:[;BZZ:>ZFF`LNZ:>:;E\\]F>;BjoCOKv@_crEftyfLOt[UR@=IgOt:UfTag@CXwUggmtymr:;Hr[F><nQennPr@HN=iqgMx;QYcdMh]g=Al[_ro>m[ag;Gh=A\\]Gg:>wIN\\<>ZbIbcf]PH\\FI_L_h^Aaohob`vRQgpPwQ__iAsCyr^yeGqfTIo`va;ae>gbAiuawbSWgTW`=@s<PcmNmhYg?XZvpq:>pH^gSB:;Bf]E?cEG=ulSd?erTkRHoY?QTkGR?chDOCDwBMKTl?Gaktt[THcflQCG;Fd;B:uYkab:;BPeR_MUEQvnQejOtoYicitsYvhYvWmvy_HxWTJeYLEDHUgNaHwEGVoWmUsx?Di=We[eh;YTwiX=cAedkSdtku`CEjqtaqtceIXYvhmgeOHwCglab`CFUM\\]W]?@ioOwPgqyhpcfcWyoqQkhxgma\\lphQitEga:>`Z^^>jf\\nwml^uN<hmayoQPtDTMKeSaTkEXTfMpKhr]ij]PmStXGuqclN_mV\\hqILLgaj<xJ_XvoqPfptRQKkEMKakf`w\\UY]YPKeNfqWOxLndlK`sBqUiUtbMKkEMgdYp`lCppSXwYiPhQlLIvbPPPmpXuTkDMJ`NsYVsQsoQldiYDejTPwXPuQeQidTsMjk`ueiw_QyPPtDtJMLMexUYaof`SnNdJ?kEAgbVvoyf:rTAF[;B:oE>OTHOhPUwWIWqOrKabfUGe_iuqst=Gp?IGAGNOWV[rtYVTsh^SiaICsqdlowsuw[WrDMeLmVDihtCt>mRlOhGcw?OTSEUWQghosMyEE;YCuBPSuc]wmMS?afc_SnGy_YvhCXQoScs^uq\\=pxAQfXvnaFeDqnTPchVytWirpqAV_yVw?Qy=Oc_g?aSgkIW?Uhys:;BPACCCB:[xb[ddoiB]WPQD=sx:whluVWiIRgWiGXTSSnSFcMY`whOOcFARMiuuui<kwQWeUaCfWw_asXMEdQVCqX^syXAcFeHw_YViGhuY:UVLUe>Mr=odtWw;mxxeiQWYwey;grxsgOys:;j:DK;>ePPwDa`HodPP`DptPh]gfsbOe`PaWAei^rGF]@?ds@cKip\\wsdgrSIaPh^OwZ_YtXxmT__mhmpPbDGa?g^Gak\\h_iyenqgoxoqgwcGdwW[`^fEqh_Fbwaqp>ZJyi^^Z:>p\\ftcN^pocaPw=>buGw_AaEGgOofJ@aGXteodGwjROad`u;qpmwnvnao@ehWaEwpYGcr`]_g_UGkZQ`MPjobqWywaCqqhrcRbwuQqB:KyE_b:\\xMxYiPNGTxFYucmq]]ULaSyuLPyo@QpNiUxQl`Mqx@tdyTf]uL`w>pKpUMCxXbYXcaTHmpSDtXiLFhreTxgyTl<oXeneiUgyXAynbTOtIM:<rTAN[<J:tsDLkq`YK@qtQtbeYJYUW<Sqto\\UTBuThAXuYJTTlg`rKutUuJkAvddorTLLIv^HuxeJYtSaxTXMKpXL;qpEEWPLvoXqpYSoIQh@V<qlolu]yJyPScerULwSPT@iQbxw_MQMQoXuwDuqUuTWPOblUYIp<ym;<Z=^iR`[:Ni[w^N^`Lfkuaof`m@i^^_vNVZDvZ=PefNgcVwBOdBGo\\OdMIrb`kFgvBHmfN_egZOfe?xn>nyRoe?gjO^kTft;>oc`fkDs=Hb_RaYTeyvuCh<Ov@QVvgXPmTHWW_afPqIUOSPcEgsV`osnMfsoevWgXOKTmRnPT@QspdOwLuZelixXbdNaTOSdxeYqRtWGUwIARlPp?eNa\\qwaK:<VoflEivlAn=@Z:ph`v^af\\C`btx<asaYxcasSYhtOXaqSWGImmVGYuYeY_cf=idQ_WQqvwkBZevlEiVoxiyuy;wj;bGEccSR:;HfMgEEVtUy@AB:;VmWF[;B:gSf_dHshHyWIkHy]SE;Bj[srub:;BpCHy=VFEe@Gygids[xHST??B:cT^[B:;hSgbLMXV_tZWf:;BfWVFEE<;B:;B@?ECCB:;B:;H>J:<J=];;Zj:>JJ:<J@Z:BR@yHDJ:\\XZAQHAn==J@pl[=M=pK;<MD\\N>>n=XohPqd?t[>Z=WwFImmVjHFZRN[^^:[X:Ab>;BjGukqC;;Z:=>Z@<>@B:<BRMOXs_gEoGv?dQKc;;B=Eb>?Z:>F]F>;J:VbF`J;J:\\;JZ;<J=];lPVPlLIV=mbTSOOUb[rGCEkQrdctH;BRuSB=C:;fAcfn=U@Gtw=hVUGQkSiotJgYwKGbkWRKFI?B:gc?_b:;BPWFmcf_wrwgFWOsSYgRAiYEhvWFasEMwYOSUcIUcmRMYbHGB:;tmKD<;BbidcMsNmRMSSWiyi[EOMrpcVTWWUkDjGdfIumwVJIF:;g\\CF:;bXgRnkencVaqSotjy`nnaR@mVl]UKpXAQr@eVDITgUWTxUMMSAXOiqJNPtDTqDiPIeQdmm]yUyYXIxvsXvdaQwHom]w_`XRmRjDNUMT`LUsluRaS_MQKXyvqvjLKkQwuEL?@Yo`SvXrM=MfmJ^dJ:Qy:MR:<JEAvYYMKHWa\\Xnhftallopc@sXq`MHiDvboV`hAskOoUG`cV`MfgW>kUI[?v;hplEUEmX\\VyVaycI[?huai\\MPd\\>uYxxRNq>qwIhveVy^FeSQcS`dbphh_e@H\\Oahl@qroiPQd`Nu`ii=Va[@vNqqdGqNPb<qfAOd:^;@ZfvjynnkWcDaconkbW[AW\\lhokgrTichy[_p\\AFshPafIm`IZuhnfXywAjJIf_fsPqpT?u]O]qwmaykcAiLaLkch_yHUiaAuUgTX?eBQsdswx?G[_dDGSMEebUxM=BEEMLAj[URL=JFlLCDJ:nnJIv^`sFajdy`ZYccgc^_c_v[qO]Jq`HgqCpf^fcIa`HgalVZGw_EVyO>]mA\\JWssgtaF]TpdQIhux^XNfiGa_allop^gwegq`fg]WgMyZfoiaxcYp]n?[:Ad]F>;Vs_yueDkcW_qSOmRngfMEISqV>ew`UCCetsKx@=Ts?s\\atS_gOyrrmrPuWjcil?uGeBRcv]EC^SB:AvK?D:;rlGyOSEqOgMMXDKIT?h_eciChN;WccgDasSsfkMwFQWecsberE;fh?IpUiIuSb;hSAdFv[^^:[g>=wjOd`mRMExccV^EgGasRsd`YI_iFGaxmEvxqHYqRb[S_]f`yfPcsMaYdWttMIUmVfqywOcfCxxYRqwFd;uVAS@;boYb>?ZKvqpqbFgflF]SHs=YciPk]y[b_cpP\\AguEgj@flbYwqYslNktxlgI_>i\\GAo[Io??gYh^o^oH`dLOyZOnmYd>vokXy=N]M``WAxr>nla\\?gseH_ONvDnhtOn<>:aCCCZ<oyRAqfFeTvwrfm`^nNghcpsTYcsX\\;Pfywu[>plP_@n^Pvttyk`_f_gm@it;PweXyNqeHn[dofv@o^wrI@osgkw^nNghC`t@xwF^jLgx_>dQVfUpdl@uNV]:>fZ^i_Qhs`abA^:>nWHsCIc?O^gxmqQbePbVAdNGes^kjHpCgvlGagyuyxiJIf:VmLvcB>Z:BZTul<w:>:cHs_UhEs]UdMWde=EC;hkgxlaRG_b:<JRuTRPOB\\oFun>QqWLL<<ZC^jLokVHbAFZ:>uJ@cB>Zf?[Effcy]Vh_tIrEVntGgx?tKAZRg_Qfeqq_wiuyNcQ_ervoq>]mgiyiqyvinGphI\\YQvxwmIyN:^SwIGGBU[BCCB:gC[IUaUc@mRpOwgoyDyyJIBfmUicsEusxYsBoeo]FG_WOyGpIxqquWuxhYS`QyMEGjGrK?D:;uJkiyQrboYSyGGOyP[xDaIegF=SeSAgIyfWUuA]xoQtboupWSlidQ[xlYGwIywwEkIy^yin]RyUyfAGCCBJeR<=BZURreVXMutKGGisK_C:SeWEiVmtPiGOwuuiG]KtEeyviiisdomYooW:cD^[B:kHNKt;;B:KyEr@QR@=B:YbY[IqQfx?yawsdymjiRwMQsUrZXr;ltolqN]K:TwJEvhiWllwHyKt\\k_hsXTTrQngMPhLu`@x=Yp=f[JQvax_HIwEyesy^?NZQf[t^\\Zgu]F^:>p[__bPx:@fZXu]wj^_dANrhi_vAxfwuUQtTfx[nyRwoo_vOvqx_etaxMQyCIumOydyjpw[xyv<qpcqp?f??hJmt]wfxwfiqYqagXQyEugWERGeT??iFSrJGDi[GO=RkUrJ=IWMUsUU:ABJ?D:;urKs=wE^_d_CSA[xBIumMykeWuqLcYNQQwLXqmiYfUnXivxyWq`MMykyhP[TTu]xcxWWXt=xpnAYxawFpnoxRyqWiDk:TudiWOxYfts]xnxymxtY\\YQtpwGUuoXXaqp_yTNaOMdtLHQ;<p;HlJ<Z[`lEeqoXk=yICwKyyk=RtaywQyVaWyQuLQEnYVSutneIwaIRqHfqxEmVjWvkidrcxbyIcibQkUPywx]wGMIiaixeYr_rLMHcMGMccE_e:SeGCC;;JAEU=tqeEUUtnnUuY=quUmpxjIHWp@XBUuilu`hwQtMLEnx]QiXNQtWepwi`WAMKE]tQMQ`XUWevheSqHmT`tNmVuxradLGiyRhSYaTCHq=Um?XqqHWuix]QpoMeupiUppY_iMpaQOwgxef_g_gdvhxgFr_xkQQ[oAwixy`ymoytYwiHwauXx<feqY[QPgEq\\YwxM`aD^rHX_cofNfxvAmZP`O@sjggGynPPt[G][aPEGg?he_UUIwAeS_mdXOr>[x@_b:;J]pQB=Mnqt`lkLyyWplnlnexXsPsvUXVmvQmu[xvWXXtmuslnUXsLpMu\\nEqOH@wS`vMitwyvnaYpAjHmuxhSyhxRUTUTtqYwgyMJpkOQsOTOMUlXqyjaw\\EqSYVtUyoYvtpNUeO]avnqyF]RQhuWxUPuQniskEmhqPmxJ^uY^Qut]WqtndDXRPu]xSPtscIYaIKW\\uOYRy@uRQWUetUquL\\Wu]uO]ngxquYuiYwCUyseyeyqxPtjxYvquadPqQkIuMwxwGeUd=UHtq\\urMPPw`SW>kEA`\\PmHSskcMEulodlCtPaf:mX<Er=fe_aw>?pk`ecfoj?`[HpfgpFXlOhlCPlN>ni>cB>ZZgnDvj^o^HWsFo]KisGvZH>wEHojXwIYptnakOblPhtYsRqw?iu[XflXlu_hlNiBwkuxcqxrnwcxAlvipyVyIFwROhI`w>YbOQhmPax?hVopOXt=HnTGnjp]Fq]JP`YogfXsmXZtQnuhsJI\\wOtNpcHghTGxbxrxGZGoupx^RYxsv]tAv]QqMQyUfcX`yH`^c`ePpqwiwmPykycXOtUoulheyqxYqx[ergEy]SAYiHeEdCGwCdK_gfOxksy\\qwJMS?qhaQUDqv]mgYYi=QSTOT`Mgj?UYIr>_OPEotywt=Sc`o_dV`@m<ajOTN[<JjHnFLy`pV_qo_IKwXsRqnEQWU]XTumblmMyU>QMYMpOHYGpuZqQq`xbpyVqlXyqi\\uLuvhhqiatUhPgHmLujmYmEiOOumyQmPPqvtxghnGiutUvRuleuu]uqRglOAweynEh]Ixpmy]iQy?FoVotKyylfoihakYZOXs_gwYyyoggSfxcyt]vdc_f^xiMgjTHy]Wvl`t[OwJGwNPhpl?PUHDyqqR^mTyuNdas:`yGhnN<MmATYxQJQUQ<pF\\YR`K:qjk@Ng@y_UrOTOEMt;dycySHHw`pv=ew\\UOupJqdVCMu]XoqepcTUpelihyqAU:UqDiS=XNqEqdyYX`khUtCqPGuyVaoNmuOIoYdSgipEHuwXuomS=Iqwv\\ZQxqvubnpwYqKigSIt=vy[yvoipyhhnalwYb?q[wWbuoulQ]wwyAvvnqqqIyORiWUO?UQcThqsaMfKerqIIhWipqW`OBxqXuydiSDo[dctyRESLumUQrjEN[<JjHXf<YuXXrpLthu?aOiDUhaX_qWsQLyYxhmq=MuLqRcIMwDOcqPQIputMstnIapW<lnuqXewTQWHHYc@UTTssUwQ<vpytYAOhdyqQnEmRjQwQuWKyww]wtduWty`pqmimmPyTOiHWn]Pdnqxq>gUqpo>]XajLOsTG]?WnkgwmoxoH_ZwdhauqIhZpg_wlDoa:hl[OsJ>jGffJYc_nlu?k]hnVqoUghUH_wGfdvuLopnOwEOiLaiapgSivtvamifwnuNowkIO_TePUYYPmTpEQwE?jWOfpga?>elauXVy?qrPo_EwioyaEh]IXikYxyvgBQuyqbCOtbAonWyuvhcQwexthYs>InNoptfhbOokAjywo\\f[iAZfN_WPsCq`]NuUYc\\@dgxgTHq;?e_^^>>ZjpfpWwhXiI>cMH\\WqxsHu?iuIx]Ly_XyhTwhXYiBgkm^iH?wwxbli[_quuF_QGqDgiIouqgohigrWgqvouwknOiC>qYQigy\\JyaqfuvgjFiaQHgeqlKf]tAtoNqZQjgXgRQigirXacMadXvq\\WvP`lCp`hv]T?ke>mjhfGxrt_ij?dcxo_gv[f\\NvfOH^nIZMoj:>fgfuv_cIiaogkhWqkQegAqippmwkxnyNIaWitvNbRymMy`<vxewr_Hltqouv]svnA^uEG]WaiFKKpXVIpGuUbxwVYnIxQoarLIPvlYBUQhAQ[DStMx@iWtqXmemEItEuq:pQteuOTunuuAxoMYJYHyYQqvipipliexXiNhuopdXbTttxuclJNlK@dV^LWudS_TkHPVEIyW@K_`v^eN]HvwLJMEs\\QU`tyRaovevlxtATX:<pppNatNODkNmJ=ySvTYxpY_ik]LycYOmYJHPK:QUretPITwewuTKthNjLnQpvtfqygvOhZwvxVIagausY`XP\\<Xxq`kdIpShZWapeintqaYxsalaeX_;PS=yJ@LOQXscuyxiyXXsmaj:<r@Prg\\K:dsppWWDtOxTxasZXr:lPfLL<<JULrPITcivsEW^]rahj?Lp<<VmTMSDxcivsQsiiyEUXL`tyxuuIlKtmXMme`tG<n<`j:Rreu?WxtqgmKfe_cKcidai;uR=;VocilsGwutc_yXyy=ySdsiqyvoIW>QTeWyDwe[My[;T=MR:;njXsRXtfyk_TyYtR?YW><r`qpo]TTIX;aqpeUTEywxQWyrYYyTeuuxOWXwIej:qN:MR:<V==MkISQuWYXtOYuQuyyMvv`UB\\KHmOQXoilNZdoWyww<PFAyHDZ:>ZZ;<Z=_K<J:<JF^^>Z:A<>Z:>Z@@==B:;Je`o^`XRAlKlSe`tQPXbyNPhM?<jH\\MAIMn=K:ltKPTt\\oZMrhMueEOea^n>lBp`lPj\\qbNOstNckGx@Nk>@:oChOidQg;ub:;Vw;G_gDH<spTldLQsEyWujDDxjpVDMTByq^IuJxUk`q]@muuTcmRMQl@QqOXrdXN[<J:pKrAPS<Jc@nr=P[dNEPX\\eo]pyJMOIYt;\\Wb]q==J:<JJIR[lMOmrFMwrUm^=no`o[TNX=WTYUSxLYlSQPMEijMQOOLvl\\K=mjKtT_ao<Pv@HTWyvXyUyTpcAq[pv`qlhXq=]q_`p<qotdukpxLqXa@yWyt``lHTsBlN^USDabPitxQ]pwgu`lHvdtiwcx_jW^[ZROd;WdSFsF`wOwua_ZSI[?vnpIsk_]sncDG^O`lHvbOHplhtwokDHs:X_N@qFV^dHw^Gpx_uCQeDabUa[FYedqwZOi<Gv=PtkQeWhr^`lBn`H^nwfpWi^xw\\y__ivnR`lcFsDqdDq_sq];wOguwEsTMhMCrpCcE[uBZDggXXiZg`X?\\j`lowk<Xca`lmh^ewu\\qay__Pg]FylNpmBAcPodswxMPkJOc?anc`cnHyc>bMguW@u]O]IyrPV\\XviFwrMpnfarKQgWp]UqwRvylg_]xuhqq>p[eFG`LSDRa\\N><J:<J=@V@LMYPQrYJTTlTaKletp=pWuQguW>mn`hP]qmSTtVuXiDXnttcipgqSkyOQQkuiwQ=nkio_]p;MR:>ZZG_OIbhaxFQeFYbIF__a\\O``mNkTnjFV^fprcyw`pd_Ib?AmQ`v;YcUiu\\yEedtictKD<;ZP`vQ?rN`wVIooNyJod_GuGwrk_lo`g_NjhIbohooFsE_^c``]priDXUuhaDyQXgGVywbNCC;rL_yDgcUMdW?t;ug]SucIe@av[OIgifQEfNmTPeWj[wYYo_lv<ylHev^U=qGqqGtmVdgVDwS[Ox`cX_os_mhWADyQPGqY]pk>@J:>baftQ>egabjhsl?mOx[MhTEFnwsL_w>octwTXIIR?da_YZ_dP]i[eVYGG_MwMiVdGcCmFTQhtySjCVElMUErd<SSdRWiyd\\rOdsBiTaxrpXQ@yu@x^kpdmxubHv=af:>:uDxAUXmSf?frGDOGdcMIbeV_at@ef[_dDGsceB]oblcx=iR_sF<Oss=WaMIK[dK?gwIsNMhRwTFiTqWTF;GV[WhSvBYraKDPoV_eTF[k[]RWUqTpl;dxRqXAAyU]jNPsTMP\\hlmMUTawkhWftmi`Uhv;KB:KuSDQc@S^Lp`iwtaYxdmsTYPuThauCylDHjollEivriqYUR?@q[@olPXvpOKMkGDNQXscgYus_Iel[B:<JRB<<tEPRVmj[]pSQyrpwpuuN\\LqLuvEsM>Zh^q=?Z:fam`loOde^ytqvT>owGfo?tk?Z:ntoN\\<B:[gsgIumxbaxcYt=oC]=w?OTH_e;uB;Gb]CF:;bxKG_WrOgfjQEPUsb_gFMdkOGikwOyU\\YIvSfj=XkEI<UHS]TxgVCacdIihgIGYGk]D\\qb\\WtCeDAyVN[c`]FSedOmSLcdTgwdQWaSSh?v;[CBuh^?V[_GwYbmgRy;Y[]TicsioYvSxmydbyYsSXTWeusYoYE=Ky^ayKEwDWCaix@SVHUFxgvOIR<=B:cY^yc_idWGHNceBUwj=gloIpEFXcT@aSd?wXccIuSb[YjKf]qcMuUyWIV[Cd[GQMTJ=cEAc`]V`SclMEpIELUxZquH=GrcdOWv^Owu_ewGW?WbCccK?CZeEeadN[IeaWKAsBqTwgtYEEnag`seIyfQwUXwt?sDfEtEyGi[ghUV:uEw_HicIuyG]KYPIdpuUlshfOIB=K:uslLkptO>mWglOUyLt\\mNHMF=wbEN``lydoC`k^eVUpQXXVIHWVIXgYxAaXvDmM=Pk]T?@UDENO`lh`mRAyNAnxprs]UuQMXYVj`l_]tIhKdEo^@vuyOFPwQhyLAoiERi`sipwdDwxtmIuQwEy_eqtQjE\\xDayT\\QH@JtaVNyvMqogYNtQYc]l>@J:fmhv_Ovt@vxKAq^gf^WeSgvUX[UHjPxoeOyqqb^o^lOmcFc[fmLosP`okqtPO]DitdFgMw]jHdffx>@vOHicWWvppvmFO_Qx\\q>f]@_QXsTQq_PxuQpV_^>>ZjP[vIp]Qc`QjD_ffffWp`cXrRxl;^qc@Z]`ifOhXoefneeHxsGuoHZ=ajiA\\:>rd>__x[dFfUP`Gak`Nt_vkafsNyejnojh`]IxN?F_IiOHNmV]UVeAig?DCCJbypLMUATLp`ofmUsIXEmX\\AnTMX<`sNUsA`sDTTSDsF@WixULxYiPN``lSPWwQoREwNmSpeoV<p;Ep^AwjPmOMyPhWlNhFW]wqiAGvhiglnwHydyapkXy?Ob:>ZwgdLOyZObpHmNIvJ`nJOcSWsPOvZOqcyiLF]?guY@<CX?UHLgHXUYKAui?urLcd^wHq^DFxDQp`XvkpwMokvIZGHcTpvkVZp>p?f[xqveGykXbln_d`[xQuQHseniKq`?x]Xh]v_oXxpD_skyr@vhmVi]frVIoiV_iytDypOpoEhru^Z:>tmp`e`[cPpHyyxHoZP\\pHo^Ghk?rXWeo?_Rv[Nyd\\NlOhdkj[o@yHf[DNKSCIG@[DHkB_]FdUIGeFEocTmIQ=tP=Sc_g_SFTEIYwwJ;V=MGqkCpoTsGgPGrWUbIyRNsuqmSIcuLqyVuxywtwGuDydFyYHUWWSxheEv]wVoCPuyNYTUYBEGimOSfSGbyTyQbRmHLKB:XkJMo[eoyqt]qkTmKuYVDYQkpl\\pyRmUgmXuMQqHP^pKYMMgqLi<p;\\oOQoydmQEMt<nIeYtMUqiux=SypX`AmhmwJur@URFYOEHVw\\rlPTFEM<<ZPyolAvahjNqruwgFhy;pasqlMNyGh^`p[cHiYGwRpgw@iUppQqpPXx`gxs@peAiUP`?XqqHgu?yRpFIfdEe=MGrmgysg]kw]itmuVMyHcUyoYvlgFGmuXEIp]fj_XYYCquTeqWduwPaXuGGLesgmhPiUiwgtyvSaxGeLfATyuokTYGhrEUuWqyX]o^xUXyyh`XCXV?HSCDK;<ZjpgOyZuVjXa^c`qUwZyv`[V`MFtigaPqwrXgUha`xpYwahXglxvnaqmocIYasfqyV\\Kifqs?QHIgI^GeuUWAyscIy\\efhyhy[IUAUiyHAiVxevWctlurnUhaOyaeXvqdBoSTEithw^iPLEUlyYjIkDUULpuYeQyIrUXqniYtqYwhy=LtktTfPyBipGHpxlXBulW]MKYPCynQTyNhQZXlqxWe]qXmwYlWgUy`AqFuXwIu=LpyLXgEUcuXG=J:hJgaN\\@^tIiwvrfi`Pv[gCiWct[ySYWWqUxqgnEuP=eI;dJ;B:;Brmvy[f]EswKIScI^wrQ_GnSg]yBAiVUEIw;UyuWa[gAShA[^X_ai^hFihvPdqiaP`fIaspftq?bY_c?XiexqnAox`gEwwYypromynhbGscpcWGu]OqaviBixogxDihjX\\IfduY`eXvMv^^V_axqFhwX_aiBMguoQYOUybqgy[X>uMDuNaPxWpSTMRiHpnYpgqVWQwpAyqeVOHlJ<J:QMEdnVhrQXk;\\Xo<wAXJGyK:lX?qQfxxeajXiLIypwlUhdQdxQipK@YMdIxYUnqTWTUP_tXWilcURQHMOhwWEMCUtmLmoupgmU]xPnQUyxQZXW^dmFPq`@MoEwQurxyPAANcutXyXhlpq`TFes_qlbupopyWQY]oxkihGHqQAet?guXeffaqYoaxqefm]AeCnednZ:p^_QhSw\\W?i[psVHam>wJ?j[xpZf[xin\\wtBwolym[gi`Il=Naswb>wxvQusfi`^tRwbg`yCAwpfmfWtHysGQc_ieLY\\AopciuSFwGIsahx=yoPow^wak_fUpuwfwhWoshgihxAhxSxmvfoexioQewXurF^cwkxFxqycbYZxqrt^thxqgak?^pehcFgkkhwKituPqVwaQIppgvTijLohWxwcnvlwwk`hgWqMWh_qsyowRwpAyqefuj`wb>Z:>uvp\\tYhA^tEpgq_eUnk?pkcycfX\\twsWvjnWwIou[pvkVo^fusAc]OpJAdQGwRpaUHefVt`_sUqxhXpUwrti^CWqowtQwscq_OO\\GxxVAhMPshanZXcyW]eQgMoonakX`lnWewAucQwMIk_XwcowMWxyXm@AwgWuoqhQ_qqAev`pWaeAxtywheXquyslXkOnf>^^>>ZPipVo_q>wJ>ZF>u:ymJ>qIXqxayev[`ahao^\\xx>inufn?YqHYqhgtgovrpqlV`ePxGYqQ@oFOgwXkwVoiwcqnp_qeTQpX_sEgyGOgkpiu`dwXvVIwHgiUpieOxEQivIrjpglgwyOfdaj^ocbqlWOdSglRpapflQYZqvjUnsyoxNylnUxWTAuXokUYqXyqWR;IqcEqaEmqg_irLIhgqHtcx=YXyOYvIUxGwTiItCHs]U;AvUOiPgw?CC;;jPqywYyAdM<<jolPsDQs<wJLYJlt=tkV<tQlwrDni<StUXwuyheuouw;dYfqkeeXi=vVpMbxqCYmQiqA]nAlMDTSxAjhHtceYfyxmQqeInDAnoIk]ttdYVp`NmXUupMdyOWTtwxUwhTI\\YjPasAyQhx?fwKyreWtIOoiA]vV`mV_sOcdncbiqAou[xvdHpdIx=Oiiannwv]vjnXo[nnBpgE^agxoNYuw^nY_qiaphai^I[s?msQtSxvRxtZnlxHxjYpfOhyOxmPyjOvXFcdYe\\?b<K:<UhXmIHwIxxY@tuUmmAmUxkcIqA]nWtXfUtQLwutxbYvIeQKeyiApX<YdMRIauRDtHPwsxWxatMQy]iyQQwwxyAYUuhmeylXHqiQUgAqiHxRiUoIOndl^mVAiMOPPqmQ\\qMFppkxQaxW>lwQqkEUNoiUgtvVaYFuswdXGpWuHpshummopuT\\xjRxTwllxLxjYpnUyMxQt=UiIyGyKCMlx\\mrxniDS;xoVmuFtuQUJ:<JUHr^av^PNKPsZXxCxVIyti`qk]RydY_mYOYuoIyvMYkirQdXCiNQ@w?yLY]UoqxpLlihMSqnqQOaxMnHqUekohXwipu]xqyS`YwCDriuTMLjQeWWdtQqqm@nUpXw`NcPPWqpQxnfaQ[<J:ntohxlq[;Apdxc[yvt`oEvouPvoPyMxat?eL`xXxxw?c]Iku_xPiaq^obpcxXb:>:PtPITcWXKpq<wJ=joevouTvppL@MvypAhPkIwIQwnhygdWWdUxeYvDN:<:Xwh\\mQyXWHLWeVF@wOuvgpWUmQYxS]LQIUUAenlIYe<MSeW<uvG@SLAkXeroEMvpnVAqpapZytYiy[drH`MKYTyLmQikq\\UQYXo`N><J:<VWMu_]scmxAQlwyk]PU=xtB\\PytOWxYxam`qvPMySxnGif[y\\oi^Cwioi]hXsZhqvvttxwowdvpdyoxax[eiiyHy;GcLybiYkqaeiF[;>Z:>eQpbvOtOYUcUwgiGAGbwsvmIYosVgQQmgMwfHayeQoqxZfvrsYonNhaF^:B:;bG[WAYWYUfMGeYyd^ciYQyIMy_yhWuuMIyv_TF;B:<uZpLPlLn@pj@nEyOy`SQxUxEmxAxIlMNylxaOixWTiRIih[>Z:B:gCbodF[sIysQyhQaUpEgXCy\\yEdYfyWXyoicuDwcF@[SSKB:<Jf=NETKEdxyutLDjsHqDYqpTxmYxt`wlXSoArymybpwwiwIMSLpQsIkITwglVjEstAY<=Z:>ZRBCCB:;JnA_cAPAcQkBW;sJIgGUDdmYt;vxywsGiscWYqYCoIoIckeYdYD]QybywVyukoS`_C;;JbanJtlKdcf`oV`dbhe;frG@o`Xl?gv]oyopkhGmdF`eVwbhgQp`WWqUxbgF\\JP_MYjxxxwxwei`iHuXwml^xUvwxAjx_x]x]cQkenojaeavcB>Z:BiKHKeWTWE\\ifScSISTuWeBWy?KviiYinZmydoylIpaXwil>vmIynWcbiot_wexywHfeaj>@Z:>ZZX_EGs^LTtt`EsC<pkdtLDjTMPJXyLyvoIwuyYypmJ\\uY`yBpqnyVsqmdaN[<:;YJ;cWsTLasbKwoIH;EGg?h[=sbPUHYoHYriAT`@Lq\\V>Xtdd\\ehfVG[CwttY[DXqIxdIi__XrlNjCFuLP`KQskpoWOgdW_Vp_oX_NIpyfmTi_>ylxpahqpDGwjWtoA`^?][gdD``ox]HWoW_lbgb<?:FkYGp]IcSpe`p[OPtDvZMN]EQal_]AokMhlOdGWbXQrKesFwtHWIlMcOOiUmBUqX<ErcgYOQXccbvctYMTt[EOmrDqteyG`SBOoU>QxOoh^CUOYxuksayG>iVn[h_AWvmFd_bWaUhWXyMYhuXccCQYrKmtlgdBkbOkCAcUgyV_EuCcEfUer_WfehaSBowf=sHXAXWoUyQyYgTk?ynOc?yfoEw_obpwWq[xOGGiySC;SB;ZjQsYVtkqoMwjDOcY^cBqplpo;vgBGofh^_onPvsEfnTvZ>qyRprgFsXHgX^rTOsp^\\nAdyGwNdgpxglmayk?atuAyu`nnaR@MWbUSDdnlPpTXktmwIQSolUI@t[anFEulxrTtoAIv^HOutXdUTwdNryP;huoaRZplF<SLiQyhXJuMxxOcxKYylNayvaqXLyfywcYVyXQ[IqXML<<:uCvIhkEUdAHo=gGAVvOX\\=R`ofOAIxkWVovLcsBMeXGWV[rTGBo[gW]v_oYy=R]MtDyus=UdgGsiLphQ[XYymTdHyt]TuQuTTn^TqIiWI<UhYSYxtqqqU]tGxPVomF>cLikq^eahei?iwphwHvoQihIqYNguqxE_poWoqir>Gep_\\:>ZZx^OXqkImb_dkiiEwcuGs>g[_Oufy]eFclyd`isAW`LHmfNsCyd@@q?@q[@oAifrOaQy]LOscN_Jn[dNg^_^SPcPbPwhdKgc?bAWxPMuY[gFYRYgywCSL]vpyYiWsYUXcoyeIxA[IYWS<=Z:wo<G__goFPnKAqpIauQuPFptfooxeDWolV\\aGyeIxqwaQyoRouK_cOIjs?`ff_eF_jXoIg]t^\\cYby?`r^cSNZ:BPGflscxSfb]YdGx:wYiOF`_HWiXhaYmieqQd`]iViSqaUyUXfohtmeHyUWocMQuPESmcsicDisPdMmapLOuneDrUhMulOQqkWtleaxYiy?pKRupeQyqdUeIyVML<<Z:VsLWiKx`Ma`owri@urh^uF\\fOeG@oZ@igwjy>nkFuD_]W__J?kAVeQowcWs=gy_`p\\qwOnhDVdDAqA^wEo[nYeuAirFgpfpOge;Ao[^^IhySOnWAtxVCabHtpk=pl`RclTYDK;<Z:hvDfnNhpTywqOpPgiwhyDq`[@r[QuvOmJPdOifsVgAy^<frpihgFthwvtincabjGxR_htHwWNjDO`]wdEahTobOy]EYoR``Wgg?f`mneNOp[in\\wow]JOs=W]Rg_xPhs`eX^hJ>:;b^cSHmSdKDC_gsUixsmHamwToetXhatSXPamtvhYZxmlEqVpxiyuiIqvtSB<J:<Z=_K;Z:>]\\;<VBB:<J:TB=B:\\KwPXs`oE>i[v_NVfbFlJB:;j[lp_=t;<Z:>hEivlWjHFZRN_vwJ<J:\\KklnFD:TBB:[CkKD<<J:<rJTN[<J:>ZFF`LN:>fBHlJJ:VbF<;B@L<>RZ:nJZjbyysZ<Rb\\W:qoJ=J:>ZCgbH_bhPbZOJ:5:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlP3hGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiU1a0YqLSUpQ0hJTERSRU5HNiI=S\303\245 vil cursoren \303\246ndre sig til et slags sigtekorn. N\303\245r du bev\303\246ger cursoren hen over grafen, mens plottet er markeret, vil koordinaterne til det punkt p\303\245 grafen, som er n\303\246rmest cursoren, blive vist. Pr\303\270v nu at bev\303\246ge cursoren op indtil y-koordinaten er t\303\246t p\303\245 18, som er h\303\270jresiden i ligningen. Det er vist p\303\245 figuren nedenfor:MFNWtKUb<ob<R=MDLCdNFZcl:LT>T:hRSew<k><Q^`osb>c]LR:whSyBXr;cULUTKIrpMR;<KFXw`tO>:EDPcUJeEWKuU_mNuT`]>lJtPNf^b_Wh]Ohc?hnGgioGaR<=sB>ZD^h??EAtU[UX_UTIETcMPyJ`e=tJtPNfbVEURcUTYMJLaggFeswYR<>ZC^h??EatUGEWiUR_US;RQ[uyo;QBWEDPLnnHqklpj`ppPPsvp:apI\\B^h??EiTR_eUMeUIMZiKmYBX:VDeeVAUSPyyIroK>Z=wgggg_ogncwSh_y?GBWEDPLonLQpP`bpwLy>;BB`N\\@Nd\\QHqxhqPnLomuwqAyiep;TJO\\S_<SbduTlkPPWI@kiLX:iYTPj;QKKdLeUWshLdeuLUTFduKQuPMYEelf@lNpX]uXoUwhdpGiOCxK?qLUQUCUS@LVB@n?Enx@K\\Iph]tG]S?MjfMuKLTRPRTiXX]UHmmFaS`TxneoAxwALjOiPeesyTtCayleUeQUyivrmmaI;wCw[Vu?ZBgjJP:ki?=S;;BvUcJOJjiO<M[:ypBF_:>jiG\\LC:yhBC_xhbBGZ:^ie`fdXaNgiT?kljjXqnQwNyxSPXBeveIk;@pR@wQtPxmNJdVsaMFAPWyZZYE:RSeeMOVxgERCrIYbygHocHcGhkGtpEEKOHKys>mhaIgRCS;CY`AIHgwLdjOTkCuwyxUNxn\\\\n:N`qoyv`p[Wjn@ikGdXpkJP:CeciwOothgdTUU_OuTQfvcF[cJjDqXqUcEylEwwxx^hXeQkpap>`\\:OiwgiLQwOQdmWpnhfEGdYPmJP:CgoixSGDNYeiMSUuhPcycICcV\\EoZNQyoQteyoUG_;@l<BIKcAifOSGF=RosHUUG]sGGkV;?fTcYGUdaIYSsW=KRgkEqSFbgXeag@[d>=S[KrVsrSSDxSfyqehUEJKW=Wb`;fPoGooEJMDMiYB?H<uBRsFK?HQKwHyeimdTWy:CF?;cKODZ_R<MYkiRmyVeUgNMvIGcpKRDCdQWSigIQiX_AIHAei;Fjmb@_S:eCHKSWcELEWcgwDobKKTB_IIYx^IYXmT;SvtowjqyCyGZ;XdYw_WuqgfMwFweDJMD[cB:CtPuTacUt_FoeXCev_qheGY:wI`cE;LkipqXMqrETdIwkiV:ES>`L\\\\WvaxXAwcPqkYty]S]INn]UQauQLwVIQYqJN`RBEN<qNElM<HK[htLQNWDQ\\mnrqMy]upePcEXHM[>GsxiyLIv=q^ZpvGYpWgs^@]CGZ:_dnxpEwiyYqSPVSGguTMGD<MK>ERuUqnXXaHM;eJ^<n^l^;>brir\\OthheLwfa`prGpgQg``jJPZ:@`uVh@OuvHunOlbPolheGalkfuARReUt_VTkrX?IK;s:OdRCS;;RrcxpQSewTEurHGSIqIeUiT_gKKT:;DpsthGe:OWeUddUWguTMWD<MK>HsOXO`qpiYypiJx<n^LBCvKYuectNASiai]mWwqE<[bN<K=XMq\\sguuUXm_hOU]WQUlq\\ohYZ;wtQyf<Nwwxx<g\\JO\\]F?Kbg=V:aSkiipQUbQBDMF^?BZ;i\\IXmOciifQ_fqoulgUGERJKT:;D>Ub=oVDwWCQDmmEd[fBCOJ\\PC`jnScEv<UhNaI>ACc<L^Dk>`ppeoNET[dppPS_DvXuy@=S;<RJ]NA=TL`xkyr[xKbDk_<w:<LVTmqTmZPwbAlDUSguTM]LF`n:>\\NitCwysyc^PZDOf^JyYoeXPqhubIwC`T:ESF`n:<rYqXfAP;dtOiNOhlSqo`@wRDS;<jYepn@muTwpaxBev_qpeHp<@l<<JyLyZYJcAx[ASA\\l>aXY<JrySuUqnIsalVDxolPtpePPEPLPZxOpywqnyxyXcaqs?oaZ`^<O[:^y]AykGwWyh_psHOZdqa`Xy:`akgeQok]AuhVZ;g\\EHcuvhT@jdPolheGxgJNd:omrpoevsmagQHjZNk?anGX]_XlaF[bHhRpw=>ZUPfkVtIxw>I[cPqTqhonq=?c;>jgvfHakF@ndWggwd]Yc>`<kHnqxTGDNUWeCBOoBaaf:;fRQytasguuqqwOotgWhWeciGDL=BJ]SwgiLYHIASGgcLqdgkP]YY>`\\bnl^A[dWypOZdVb>`\\:^\\=weY`dMSyEyE_xPYUpWgC[C<M[n@iVOekPbTapCOghopWgcZ@\\LCNKTvkGgsUhcIuag^QipWgC[E<M[NHr;W\\JWcP@cuqxSqo`>lBF?LR\\DNghUedsYxW<Lo>XsLUp;=S;<RxhNLlv<eulQXchoG@jDIJ[dZlI_K@`E`^@pjB>ov>^^DByd^ACDMHwAyDUSgqtMKB>]QByj^=R?Yv`<n`xSqhUK=OJLT:v]pvgPpgYqltOi^PplVuOaj@VtwC^QghoStoXGMwdQFZOxF?d<DqRipEMqnEs>\\TsEqgQgHVtw?:UWaqSmUv<MBd?VBCOJhkPpLcYmi]nEtLB<o<LN^@JZMoHdMLpKYlPE`NB<o<PN^@JZ_wYy_wXyhH[bPsDWuOajXV[aBBaTuUiC;gHqScEv<UuOaR<CF?LPKquhmLD]XpMSOeTpXoC`K`BjCeimiKOET[fMufB;g\\SV^cJLIQmmrnUlrDX<aur@L?erBMKKpvrlsjyYummQHxp\\R>]O`MykimrDNgPU_UqT@S\\\\nJDUHXvFHKYHtyuSqhKKDtUYQlLj\\<nfHVtxKKhRbAN_XMq\\nOYo_XjADKbTsBD_jNeYwmNkXEY?MUqpspePKxRBEJDqYttsoeUslkmlvEDJpUypAS:Eqhhwd=N<MKBIkeQqlaQi]sQLZYwmnasmNt`hc>^lI@\\L?kvn\\??bkAqsvZ??bsq[[fJqri?w=]B?YvLQx_QtmusK;Tx[rL[X>mTl[d`KCassmAiHMGDKd;chrEhNAubUiT[S:?d<]VGmDv[BM=s_KD`QRWibEcfIwIPOSrAInYF`Wy:[RIMF[mRJeDOKTeUG;cnBD_\\hfb?cTWqPcIudTQuB;GYWvyqKKIPn\\VTeMGlKDeUW]JN=JjyYB<Rn]WRAVTmMoeXCen_ppeHR@<mhYJJdKupXG`JNEiUEBAD[cBZ[ypewlshWAFZOBAIx`?iHqhdYTcQteGuyCVMUTMmxuSJrQS]mjQyl_UmWdRytNOHwq\\J>dLgmlvYNsYSkUveuo_aP<PYfIpAaXaqsW`YOhjc<VtxK:=OodPoDokhqWay?HOx@r\\\\n:\\jHAX:emtdVu`L^AkJPJJLOGeSGMWvymyIPE`NPtOphUHLX>=S;<KGHP]<osUxful=`QZQVX=J[@PvLjdawndS]UxBhRMlxJLT:LJiHocHSGxyvyVXMJDIXVdQtAw]PmsTX``NcIlAmMKYrItQfxuyuyWuqxQye`NcyvYxYPyOy`y<QOHQNZ\\n:\\JTUTMUlTtxiylHmmNPodPXtltnHWMapZEr<dykyrYLquuxh`NcxqyxU=UR=MOcDOKaxcYt_DSmpVGQT?eR?pnGUm`xuxUygtviIJcHLL=J<TWrMkiAukDwSyVmpQHapcGcLpmvOxCg[F^[FvZNOampfGQtMxcxFavx_[gdR^jN>l?Hshg`IiobY[IihWW\\JgogPdggogQhJ?^>`<EwXiiumhE=cfGEmkVRWXJuEy]em=Rskc]gBEkDBMT@YfbCStWYqqg`esTgfsWXaqCYsbm]TsyrL[X:CrNaufcgUudmIVXcYnITwIxAyE]ms=eVdqwWYi=YyxKybYfsst<wBkKd<;DFUUqov_AHmsVHaen[eLixhYShYeVeCB_y\\]F?;FLqEs]vKcCHkCd=Xj=HegyMWyxKxBYFsmgFKD[<JZYVFux;F[IhapAu=vypwvHi]w^yjYrTN]TNcuAyuvhhaajyx^`vxx[y^yjOuaIbp?]CGZs?heAsmQmkVf@Aoihutva;QcivwvqwCy]]iuLIlayfbwxsIpUaqUwbnayFhuMnayOowo^TqvswvoXaSWrmybnWgNg[CyrTPyXxtKXeShgEgdYOu]iutNnaybwpfMGyxWpkwvHimAnq^FwqyuywdCGcCPcDOcLoaxFiHOgnqiCGswwiyiyqapIYjfA\\L?bX^yngqUg[YirowwXiquyegNoXvhg`lqWwBpeRG_ww\\qvku`iZQoPowsqy;Xfoy]WInggu]wyGYayXe_WkpHouIjAwnXyf\\hgXxhEwbGG\\`pjovno@gNg[YywS_neygRhgkywXPtph]Awj=__WqpNgx_PuAYxHYgIQnMQemGyxqpEyZngh_Y[=I^pFuqYmIwqxQyepnIwmx^uGOfdPluq^Uo^[vqBF_ZvbXxhEw`ip_MY\\yOcyAaaos`fiwN_vpfife]hfAVf]obMougX^TIhtI_o^_UFuiayhI]dVesgdAnqu>n_WvINm\\wmNYuxOtoqw@ftxfoANgjaqmQkW^]SqvNwpbquQYmnvrkOthWcOwethiniiFwZUnuJqnsnsjYgmqb=wphxynFyquUysysyfGUmonfHUmPTxlNWAWbDqiysytyV=klQNI@l<LXpYlhxXqUWUQnl`lMuTMDwyTYTeuGdp=In_IYq`XnurceoSyTaxN@eQhPq_qmhiuuQUitSJLjcpxCEqgxy`pohTY<UrAPmwtTIEwdpWpykfUqsxnfIrcIqnTuLmtQpVYtnthRqQUdxROQYXEp=pNbYtwuqBpM<MKBiTyiSWetldMBmSWeriTwCxKY=YZamGMTlaUFQngMt;PqaxRHTXnujHuoSynQxVIEvcXtfYP[qpYpoaxm<UwXqneipCIOrhPtdQdMSidwp`WHxXYMh^it=Vy@xbPgrnYsivqbInAp]LYbIfaNphnf`KHempfGvwuYsivqN>o<Ag]^n:`]SHgvxoAonh`msNmualSPqDgyrYiDxrYAtoib`^sFapVQ]gYm<Ob_XuafvpxawFlxO[gGu;f[aqvfIqtOouapHqxa?pgVm]IsF@npalgNtci`QhxoqnsVlV^oj^aIYtGYmqfhmqvGgdN_d^_]NGsH?wCiicGkN?]fFbA^_k_mdgtp^oN_waFoyqvcghqwheGdSqpKxZnwlcQw;`tYnuwyfMwwmxcMvguyiyAafxyWiuexm^fsKpwIPZYPdgagCOmexnnWh\\QfawnSqlDa^uAiqpkbij?WunatqGhwgegwp[vglXjsapcWtnvhhaeGymyvirXl>AvZAv>xpdA_iv_QyqxixiNqYx\\RV^c>^Aousiu]ollWm?`\\]V[@Ndyng^aaFamGweIvoF^kAy_eArlFo[YqrOuKibthiLwguyatOfSIbw?iNa[aobYx\\m_mdgtxfpGgoCirxgyqfhoGuTf_WhonXuLGcqxsbAjdGpV>d]hypYuiOykyrYfhqqwWgsVHaMW`aosNQj?V[n@ikQfg>ej@fryuhquwXoYvivIl:P_<nbL?bH`mdq\\WoqsaybHdEQ`W>qvildh]aqyAHXuW>YeOee\\IX?aIIHX`Aw_yoxXtoQp?MmkhSLQp=LqvitBMmxduvim\\eV_Mm[DSd=tqEx`UpTtWLhWcfpIiomxnOi_cXi_GmHnkt_i=xs<W[pIaXa\\aNdepaOp_wPebPh:@fj_]aVvUghVxuwXedogx?vtH_^wg@akSF]YXZdOgdODAuR=vD?HS_WmWbcNZlaqUOqsabgFZO>hMfptNbk?`WyZN>l]asKq^EWoPAJ;ECEB:[Q[>s]H[U`oHHg^PakWdSG_oWvQahG@emFapYZGnfMa`shco_qAV]bqkNQlpHfgOmtQ`yooNyoSNrI@l<Nx^On`@o]Y]cpex>hOW_Y?cWih[_i]ytnk`UmSmrWpwRYVT\\s`HWlUmhAY]xlnXm`EpGLtl^p_yypynf?eUpwrGwXwlFOmoQ^t>[c>^INdpfbWvhwFtfylYAd=wxogaRak\\fb]ytmIoUFpTXfI`hn?`Aq]QIt[_e=HunhchW`rnmnwavodXgt;hiiVgHXltHfgOu]inrgetiqxakThxPV]qXujxjJPZlA^_WdNIhg@jtykx?o=XnU^q`fnb_ytywSiscV]kpc`femIu[ynWvt^q`MfyAwaVF[HahGVgMIcsQqnyfOaoQFv??CEBskSoOe]yWbQywyCWiRawtbQxQuGy;YK[w^ecYeH;UFPIumexNuxBuRAoy]wEHGijkHWUxSICU_uHMXvST=IYoocXyFWeucmcQOxoEycyuMMWPYcjYF^dJ^iutLnQLsx\\tMDsIduqloeETSqmAtL<\\SLAyoMn@]oHXTgpvEyJneX_HyZxu[xPn=VSAsmqne=UuDTMXunurUlxw]SAtRqXRDUTqaVoiSnQqvuQuivcdPeiRrILL=R[dyneUWYny\\tYpoOUr>Ut[UpaQwcHtaQohyPxemU`wmuT`mLa\\kiivQ`KUXYqqwcYoQhneiu`uMMaYpUmPdlOHof`WKppoUSAtTPHwsYNqprhywNUopHV^\\JLeMiDwuAu;eOUUpn]V^<m`pwnxrEaxoER^ILLkcIKgTMw@yZYyRpKd]wAtywyJH=urixcqy]HOUDpThnYYNqLLntvD`ssinNeK`uqTXuTPpCiWtXvSxrTXQJtoSTtOmX\\QqexwYisqdvkQDwyOyiaSf`D\\bAa;^\\JX`aWlxPyhQqDq\\OHsnhlofc_wmhyadxvMhkag]aff]ytxYnYnnc_rTgo`yw\\W^Aq]Qa_pOrtOtpFqW`wrwacQiqprfNrBwtjptkOdYv_OYwlasVvbQxywFhmpe>W\\Gnf;`_Fgn;agd^`XhsXf[`WjApZm@b:@tro\\Ba[Mii:hZnnm?N`=AcDBrqD[<JZYUFux;DUTHP]mjgQ\\[xbBGZS?cqPpFIhV`kQom?nd=WjngwT`tKI^OdpTjJTN^@JFesXhQLIymQTIuK;dj<XN^@J^moxpUtTYPMQqmSdTOmhUGLN:hjM<kvtN?ipDmk]aKyER`]Jomxf`tSIOOxlUqo@DL;ASDDlPpOZpRYxTD`rsmnnmQrARtaymUP<Pob@pWeK\\\\jJPR^HYXxrBEWldwgQtAuMSXXJ]JNLkF@l<<lTypYQSupXCeUWMT_engQWJDRVXl<LXZQqhAmmuT[PMOhYxIqNuTamlSxOV=WuPM>]L[dJ^AroeUsmmqlve\\LxtyVaUEdtKINOeTSqo@DL@aXYVf?Qf`GoswfaFZ?VwRFc;>]kGwL`pkWnn_wR`p^GkgQg:nbL?kp`vs^nkYcFyriPyEfsnnetvlhFcewtT@JUWgpJJ`RBEN\\Qt?xS^LjcDwvIYM<Tgho>\\LvejcqQZLwtUYG=RgiuedQqamgQW:HPBDOZLstQy^hLe\\n@qRcyOyEpWeKjAJ<MKBPoUyp_PmTDwoxt^xqxitpeP:ajrtN?\\RKuUY`pvEqC<oqpulhUG<lLTNc<NdMytasBLWwQY<LKxxRBEJKMLIXmm=Tohp`aQN<vm]jN<LODxrHm\\YoghlHlMNPSRhwAxyKLT:]LFlKTHLNQr?pVcHQ;dj:@N^@jjXS^\\nQtUNpvGYPQTwL<TB<L<?\\pW]qNc=Wb>^\\<FkJPZ<Q_sNjT^]nvpVA_gfpWG\\jffvQe?^jOqjGnvIqkHnbJ?[fnus@bRftOikF@nB>_>>]iqeZ^gpowNpoVG`qf_^OkIFZAIac>^F_eQOqrGt>^dSGmgQg:`mkNl<Nr<ih_Xtahnhp_<N[[HbBKrAv=Dwmxs^pmXDov`upe`vH^^@jZXgiwlxNyBOqjGbd@ojheG>lQ_mMPZ<`owhetwxWW`?yb:G^>@]CSJeEykGgIu]ceusnf`pWeKJ=L>`LJ\\Rk@mnXVAHU?yR:EN>AmhYJ<pNPTlptWpDJOeT_UqT<nZ@MCEJ;MLEHm@Hp>\\L\\LjK`LJ\\LQtOTHLNIp]]JNLN=@l<LjZxpQaXntWgePqmt?LN<Hwx<riqoVEPqetWypIMUoPspeP:ETkLl<\\yfxoIMUwPu>\\ttixpXo;LkH@l<Lx>iXWEaaviA^]R>`]>ogYuC>_>o\\[fZ^]luEys;qB@[sBXOi@SixqXxm]MJ;>l<^y`n]QPgd_noVg^xpXQpWg[Zg\\[fZrIsZAnn`isHe;ypuwpgQGQI<MCjYc>MRTUiPMUl_RTYiQqXotUZ\\n:tQBmkZpMy]uf`veDvdAL:MN^@JuQLCTX[pW_ens@UQ@j<ljKLT:hWUtPDUR=?_ZOZ>`\\ZWsJAlSFbGn[Dg]WNdcGogQk:vu[ytp>rPhsUhslWxMwnB>_ZfZ<O[jHnxpunaveIwKpnIwpWCrqDMiY:EhgIu]mWuGtOiFOgdS>rQA]CGZ?ap]wjnisqNtIvaBgv_qpeHZvwkK`\\J__iyqifiuionowVFZ?^fBHlN>dFvrIXcAx[U@jd@ojLB\\K<MKb\\ppqXmmMdXoE@j<lnB@l<LKcYmiWaqOcWhmLaysqpeHZ<v^e@ldPyn_wYy_wPmIPd:@lsVh@UGYIucfdOoeHJDpVvmR^Qj?XL:ENV]qbdtOImHML>\\LJhP`Xi?@ptgpca^;?b;Fa[_^?^vMwgiHymhoGOohppUW[JNZ>D^YSiugnOV?GyiiTe_wPQB>_RPUtw]GN?B@IikUr>[txgYLqbGkheGBfOebSFlgUFErBMCBiTYueC;g`qVceytU]>P[[fZ^QfZ?bdHoKpuvWdTQp?qho>bbA\\L?bppZ@^n_Ys_hwUingXegwDDkJPJlHLIXm:PY[iJcixQiWQUJ>pL[dJFetZAnnasmLtmusCmoeUqT<NNAKc<VdlJAds?PqIqQemLD=Jb<O<MKBaT\\DNgndt_ykGgiqeUmB=N^@jF]KGDSilqbmWoHtPO_[XnR>dF^jN>`SHn[V`?ePOSYsYF=R;cRN]xYoHAIXDgyN?RxaYsiV@uC]iYhyEhWwlyy]?Rvsse;ym=UsidjsUYAe]AIsEIPmiHWdIYVKUTkucMOxRexoqf_ItCYdLEUSwIdMhv]gZgtNatNaH_wvBOweadGIhDGbsUCZcdWSI^WGQ]swCfl[Cb;BsiDbAdd]Wf]xOIXlIYf_YPadiCVyee@aEeuvHEwfIUcWoOAjD`temwMDVxemvAytuS@Ix`@QpYotaPqpObIyVlW\\TPvpvM]paukniwqpNZPsEynvXQixXkiSpduQ\\rItVyXmdYyvTufAOtASDxPEExkQmIErxiyLIx]QtsXXSeJN\\wZiQX]Y?QYGYkxLl<\\YeymyalxIxIDomXTTxPiTw=APLPxQlRLmyJ<mK`LZYSgiwLyuxqV@=TOhlpXo;<XYDN?\\pqXm?PLwdQStJNAw_ypFPm:Pr[\\nJdWYxYhMJdXpMMUr@P]hU@ySaIPwxJNlkOpkMTLwARmYmcEXjQQIPX`akNAtZMJdPoDqXo<sLtwcQvjhxSiUNAlDeX?PPyHmPtLiho^@UFMurHtnMlZfZXvwcQrlHySieNqZm`qK`w\\xiSiiQv_T@jdWgMplhfpWg[l?ruOqr^gxohMiZwNbvvS`qbuyZuUv@WhIKOqt`doTefo>sKvwcAx]Gv>_Z_vibX^qNpwHh=OekPbt>iJ@jDFmBqqaX^Zvw[f`xy`Tnunfr?YwYPbYwmnMmuRWylXMpWeK:`K_iQ^@yJ]pExtyMJqxWEePoLtutwBUUp`vvWvaxlrgs;Pr[amN_Z?OgT_nixs>^tUxgDwiwYgXq[U`aQN\\SxtKyv\\fxXpkRV_E?tAyq[@yGapjQ^sQy`vbJwgyh_ggudWqT^vS_^YYtP@uvawhNgBgnuqZrWlOnd^qeYAiVOex`eTapC@jDFoBiqah_lHySisnw]<y^S>deqtCooeWqT>Zs>^^@\\hFk>He`oeUW_ov`Uqo@>bH@[c^jAAvZHe`oq^G[;fZ>`Z[fjj?c^^nGV]Fw^miquggQCBYD<MC[Ah[UbNMMdeWOPSb]n<\\j?tQGAKpHn[DohpsFexo]XJ<T:=sjLl<=pOitCUJ=lNZPSEeWQUJZtsripMDrOuUimORiNZ@jJQN^@LFmoemWuHtOiR:EJ[lRBENrMUT]nipqLPYt]nlQXUGj_Gsp`aVqo]^mBF_>VcEWkn?yjFZ?HfCAh\\>n<IkJPbj_]t^^wGx?`x=y[>^\\X>b:gjMVouA\\FfwgQtYqy`fmtfvUAjlgeQD`ARXGDL=xyoxpEWaqScWhMMeqsspeHcCihWsiUxP[FaGyriB[[eBCGrYuqsuF_BNaysqheGbIAXXKGvAIacByQImmRTaiSaSkiTOEuhoBx[HxqBv=CYkRL=xaWcQsR<KWcQTUiLZEK]DOrysSYpLQuo`JN<J@MTjImetT^hkUdnMtNB<O:\\k^@v]tPh=SodPLqqwmvHQq:LNIHlN\\y[QuoTXUyxqquMpUtEspeP:\\Y<@l<hYweY`<nXUYGMulhrpeP:>[[fZupZ@^n_]UinQyeqL:xsJLTjxNXtlPuoPptixNZ@JF=kJPjWDxrHM;eTQUSGispjM]jNLkiDMJUKQLSuuxTq_:v]]^nJ_e=WbLqjGn^ZPEEg>WgZ;B^oRBEfrmb@_ss;gDOC<KC:mRBCGNsSWeeNMUD=R;;sRseN;GHOitShVayN>_:rRCS[?xdYw_WuqgS:edPOuhoB:=bjYGgKCEiXGiWqKYt=Cb;BMmRBEfjmXhaHqkGfQwLOsDf[:@Z\\OqIfjKQtlN\\Jgv_qP=B>[D]CG^yuxiyLIv=Qt?WC>Nh<AcDFyOquhfinIlsvZOGd[c@;j]\\nJxQgigqwuoVdvglOppeL;lnuAlYtrIXm?J>\\\\sWrBO[sXk?ac:ghpOmX`i:>la^jNNhmovF`psWpNIt[fdOGuhpZ:?sJNdBqeiwoC>oMv^<f]Jok]aNiIsiB:qC<MCSIIumtVYDdghOMUt_tpeHSUSQ;TXwvGsYK[T:gE>_D`ogqwTTAiKMIp]SdggogUGmSvssmgU<;bn;UWybcGilerF?fpiwE[Y:EBjyI@MTBaugYuLQuoOtuuwCZvGrogukvvh@mP^ZlYkJPb`oZ@^sBNwGy`_h_U_gQW`_fjFF\\QihAamuPftA\\By_<O[MXweYlxayaGwypyEOuthtpg`MobBTjEDLpUvlOgpUgdWTaVhiK?<J?]r<IK^pLIXmclqOUo<UMJEscyq^QlmankYsHIM;HJp=LL=mRMN[mLC]OV=OotPUq_;anEv]<H[jxkcqav>_XvldCMAGpghOMG[yXS;Bp=DL=Ee=WBMujGb:OBZYC>_D@]CGCeckICMWeUFZ?BRuRBEV>eUWGCdWTa_fLQTU>Zf^m:iioix`QibpsHOZD>ji?\\L?`]>oEwlFigYI[bbI?HWyDoUIp]c>[TsJ:AMF`n\\`soesgxuIim]<n:<yLDNOdTuyxEuRH@SwdQ>biEDLEl_hV^<ndTOguT=<JcDLLETm=wJ`xKyRLijE\\JNrKKTKMx_ydLqewkVSGI;cBZ;BReuQcDk?eNAtZMBdOgDqXo;BJGD@MTK=XpagnGX]CB?;Fj=ECebWuWiGCbohpKBD@r[\\n<aoqxtViTqYvIhsGXK;<NZ=mhYKeXWQaS:eppPSohppXo;Fe[_^OnbwgiLQK_XjAF;cBZ;tBCgjGweYHqetwuvWCwswvfuT=;BsCF^Or^=V:aBNYuiUkfEpWeK:\\vF@lDTkr]uVfpcWlnhhehwdCBYC<MGFKvkEWsQXcevDUtSaE:KR<?dDKi^=ROqtL;T:KRA?dDKh>fWaBNUXmgwd=JXILLERO`KbPsDE_]dT;Bb;C<MGBOd;cTKEVhktgCvT_W:Cv>=S?CTWeen[H^MuWCDJ=B<]cJOCTOitSXw[TAubNfwd?`DXwtPhVvrpG]:?oJNd;OdQw^WAq[fmvFc:GyJXwtPXYhWmBJ<meLKDPytEwpiWmuSbLJD<R>=LLERZQq`qpUdQw\\:]fJKTxuvtOtcYtLuTQCB?\\vJLTxmxxYyLIl]LtItQBev_q`=RKIhjMriOuUif=ybGaDYCB?;F\\?ECEyKUYu_tNaV<Kglhwd?jo^k^`y`YxIic:ghoG\\J?Z\\vkJPxM@eFOuoXs>^tvHipXO;rtkfuay\\kDMoHim`Z>n:>bLF^_y[k@mnHh]HqJwpdPspC:;y@StwmhoqxTGDNUUUCB?;B]ADLmHoqxDUgQUeUiWfOU_UQ:<vu\\SqIulLQZPWeeWQCYMF^_WbYwMoTf?HqYb\\;f:;F_kfuQcgwgIMgcGdTWe_wvXWhWeC:hP<MoRPl;dxpYuLq<it:;biIlDhVZ=r>\\t`hSLqtgp@;RZ;DLerJscUgRLSwQYeUuW:;BlKRBeDTMnfLlRMp>amAPJ:\\VFhWf\\nN<J:PjF`N\\@Nd@ld\\n;IRcewTEWxaYcuuxDo>hrN@JjdL>`T[`KGV^bPxlWhg^\\;fZ:Vd@?cONrJAlSFbGwmH?b;>bH>yna_>x\\Y_`yohn?\\J?ZJXZxFbmiohpsfv`iQw\\>n:>^A_iDpvMgeW`hcQlshwuaxcqpeDZ;xBCgvEXWEw\\iRM;T_eVpWO:Dn:=S_YREUknIuaMt?^sdoa>nj]Aa=yygIiXorUAZNvZ[flehyuininqjvhOi^ZPZ?IhVH`[Y`tywcqp;>_XNbdv\\gf_Ly^Y@caqsCglOppeHrNF\\t>jyIhW`dpPuUin=yjGQ`mO:;b<?F^Ohk]yr_hmufSOvU]iRqXo;s=_WaWxVutOWvrSVx?B^yC[cHOEhRGCbocHStMwCxwTBADkeUQmeaicsQBJwIVWdTOcR]STAh;aUbWUOeVuOE^=Wl?vZET>;vY]bNmfhkUncwHOIt;Cb?DCuh\\wC:gY>_T`KYueS=AuMsF^gfEeWQUbvCSHeyG]H?;wsmEQIS;kqJPmFuWiHq_qRUUmNUUeUaBYnCQjA@f<^w]Gv>OaCAjdog`>n:>r<nbLGoVqqgfoXgghAoupiwhwd?ZZNlRRMCiwUUdGgKohiuFZ?B:QF<MWvGb;SDJugvOFwgxPgwd=J^HLLUn?Yv`MkieytEwyxyUqXobvKRdCWj=lvEqNeUgmLD?ZRwbBGcLO^[OaC__SO^giueWqTBjuE[cdB=eckilOHmOdi_b?sc:;vQCtHCg>MrnMdbsGQOUUECb;BjIebuYdsWRAV<GwRIH<<JrATnuQSXwdasBMw^IS<LK:\\YdLmYpsoix`hvKuSI`PwMqgQW:<Jc\\Ri\\ndYwGiWqLqt@Kb>vmGtT?akXfAAc:glQXuhpZ:>`C@wF`npowNpqwqdt@h;@j<>j:@k@?csponivQ`ZN>Z>^crynuquywetawmFwVIacPn<qho>Z:H_BvxBOwJI^cYNxKy<LJ=JJ<R[iKcXRA`nWUqRDR;<R:hjmMqiAykEWIqMM<TEtLTqo@<JJhnjijNylYMm_pvWhm>\\\\B>qjgcqimsVfTi]oohDgdOopeHZ:^vb^a[fh`akcAgXIt[owEfZ:>[v@hFwxoqxDWmqVcancBWcQPuhp:[vC=xAMTwgiLeSGGiWqrd`WQU:ITjwRLuHh=euOwX[IB=R;;RBcBq[fhgUMoyvyVcGhKMYciFUit:KXWuTHWvRqG=;CO?V@_t:AbnOV?_tVLulhB`NMLTXxvSqO=<KO@v?`tgYu`aMNqxgQtP;KCb;U[cDIWem=TeqtCugyoWuOE:;R;gBa[f\\IXcIea]s<Cc`qVUJ;=P<MOKns;gaua_;fZ:F\\\\yyJP]V^`]>osYx_hquggQ[\\viA`d\\F^g?uZO]?qppPc_FrypxR>ZJHayqjNO^[OikicYDJ<N\\`yULToeXLEWc`tPqB;F\\_ysIwYuTacyayILIgMmFb?B:Cd^yiJOukWrnaveAwZ;f:;nsYO^PMT\\SQUxMunFIqb>jBWxI?csponoyv`tOi^OxlU]ZYZxA[cplPFwEx_FigYM:<vxTyeXypywQnxSH[bPsDK:^i>qgBg]t^^wOxCFZ?>ZR@lwHwxXvAinqwuOpsWX^ZD:abfabN]G`ctQYSwcI>>jNPkyfuqovF`psSPExOeTOcycIB:CrK]yJOinEsnOITMh^?wIeC:;CPsrmaIiMGu[TwMyZyiWMYosU_AB;YrIaBjkt>uIMKTpuIQkxQ?f=;BJOB[cB:;P>`L:<rq@Kc<J:xW_ivtDoNuNCAjbPvaMJBykctohYJ:<nR=mhYJ:<yPN[:>vU_jN::bBCO:tu\\FZ:^iE@l<>Zrq\\[fZ:>xgxyIN^VgxUgc>hyaAZ:>Z:Fc?oc>oo<?f<<:2:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXVVGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUrVUYqLSUpQ0hJTERSRU5HNiI=Det viser at l\303\270sningen til ligningen er ca. 5.3414. Kun omtrent, for det er sv\303\246rt eller umuligt at ramme y-v\303\246rdien 18 pr\303\246cist. Eksempel 2L\303\270s ligningen 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 grafisk. L\303\270sning ADa vi ikke har et fast tal p\303\245 h\303\270jresiden af ligningen, definerer vi funktioner for henholdsvis venstresiden og h\303\270jresiden i ligningen. Derefter afbilder vi deres grafer i samme koordinat med en plot kommando. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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%;Man kan herefter igen benytte Point Probe og afl\303\246se koordinaterne til de to sk\303\246ringspunkter mellem de to grafer. Husk, at det kun er x-koordinaterne, som er de (tiln\303\246rmede l\303\270sninger)! Vil man have en endnu mere pr\303\246cis v\303\246rdi for l\303\270sningerne, kan man eventuelt "zoome ind" ved at v\303\246lge et mere sn\303\246vert x-interval omkring et sk\303\246ringspunkt. L\303\270sning BEn anden - og lige s\303\245 fin metode - er kun at definere \303\251n funktion, nemlig udtrykket p\303\245 venstresiden minus udtrykket p\303\245 h\303\270jresiden. At finde l\303\270sninger til ligningen svarer da til at finde ud af, hvorn\303\245r funktionen er 0. Og det er faktisk ofte nemmere at lede efter nulpunkter. Man skal huske at anbringe h\303\270jresiden i parentes!LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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%;Til slut kan tiln\303\246rmede l\303\270sninger findes med Point Probe. Bem\303\246rkningTil sidst skal det lige n\303\246vnes, at Point Probe ogs\303\245 kan benyttes til at afl\303\246se funktionsv\303\246rdier!JSFHOpgaver 4Opgave 1L\303\270s ligningen 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 grafisk. Opgave 2L\303\270s f\303\270lgende ligning grafisk: 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. JSFHJSFHOpgave 3L\303\270s ligningen 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 grafisk b\303\245de ved metode A og B, som forklaret i eksempel 2. JSFHJSFHOpgave 4Hvor mange l\303\270sninger har ligningen 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? Afg\303\270r det grafisk. JSFHJSFHOpgave 5Unders\303\270g ved en grafisk metode, hvor mange l\303\270sninger f\303\270lgende ligning har i intervallet LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSMxMEYnRi8tRiw2LVEmJmxlcTtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGTi1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGSkZGRi8=: 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. JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=