Essas propriedades helicoidais oferecem solua§aµes potenciais para problemas em eletra´nica e spintra´nica, bem como em dispositivos eletra´nicos qua¢nticos .
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/n9AbNZJghSCDKpqhTaWItAEAQEIAEAExMCVtXUbc+mFZ7roACYuOvAC2VFxcG9bikverz9mdublpLvjFc1Qlyk3iF524qrmvi1jQvsVTPDGCJukS2rrKDplzo3VTFTborjT10mHekjPMXqt6wOfhk6b+NY2UU0pNohCX5dTV1eDuMqWKjatueswBDooaakwdLmdIZMSBARBC5lsUUtSxYAgAiJEgAgAmJgUtkU6L54rNZqoPCy9wZm1KTFikXgrDQTLIGNyVl6N+TMvWbxry9uOS9pyL5UpltXXPv3qzOoiwtYsGaNJZjnXJlY1JLEQWnNKbJxaVqzO25KRJWr84lS6D9HP2jqMUrMW3PYp2bo6lub2eTi68j0ajF9KMuNbpO688it+LGqdLmdGbbNZAggrMKhLkimraQTBABABABBIhEwLvFyqLLrRfK4flq0a1V7AhZeFzLet6FQgmbSUhthEtqUXooZ5sBSwUi1TuvzWzp5juaQJSLQBIQSBIFE6RMk6g5NchvLqrACSCQpqQ02JcmVmLbjQ7nI2GbJdVOilrNmzn68lznZ6PPdc359MuzK7n10zS1TARETAlLkqtyXERIREwQTARMETATEwESpFwXq0v1WZxikAWXikEKdRaOS+VxMExIQQBS8ERYFVvUiJqVrMHUpm1Silib9nJvL1CJmgAJAAAJgkA83Np3iktuItpZGS+thkz9Xnjoz9VZMeJC6W1ZL1ottSW7UVHtx2rZZDc1+C6MXY3E/rl8QRMAKRozrRyXBEhESFSYIiYCJgmswQhqkHqdZsmhqTWVRC6ChEFqxBGhWotFYi5SAmkrNSAgCswExMCwuaquxxFlMqxfLHY2cbszRMTKAAATBIAHIbrtrGVrqkFIGUiAxuwWOqyZaVasS1Dqdajs3FNq2ULMFTalaWVtm81j22ZNF5JbnuOiYKZ9OZaOU0mJCIkIiQrFqkRFC1YhLLsup05dVjJTZLKslbqZQCJItXYWJiyKFYtWtVmIgmaxFygtppJaswUcnXD+duwhoR0i3I7fEVnf873DRMGdSEEgAASRIZw1ioCwBEAWYKgQ4DbiBc0BrPbxBjeWAuVuAbYJbgFtQLVIWJgBlwK5gKsAsAQAQAVUAQBWoJQCjQFkSBKQL1ArARHQCy1ApawioCwAVAACIgFLgV2hBjAnsgtuCBPYA2wGdEgEASATAH//EACwQAAICAQIGAgIDAQEBAQEAAAECAAMRBBIQEyAhMTIiMDNBFCNAQkMkNAX/2gAIAQEAAQUC05Fq3VGt6bNr/wCIweOq08yxfTifFv5GO0HUoZzVxzFnbL+RjckrsJlrKqtaJkmAExaZTuSGlTG0qwacKVpgqgQTHA/JuGYBD79F35B66f8AMkEH5LfyL+OD1WDpbwPu1FZqttIv0invpbc/4v2PHS53G1fl03e7+oqE5c2fFgVFdha3OLFBE3DdbXza/wCMRBRiLWBBgTPfmiZBmO+OhjAMCeYOB9x0W+49dN+VIIPez2H4oPCwdLeB91qcxKW5NrU4KGU2cxP8B8r44/t22hF2i1v7OG4Q21ifyK49qsSwwviGWeNOP7LPbmHCKTYBgTOZtM2mdsuoncRW7DhmFgIs7xuws1TZXWuINeZXatpHRZ7j10v5Ugg938j8H7HhYOlvA+5GyNVVuAzYrY3UW8t/8Bi9DELEBJdtq3LtpHcSxVhStRpV3LcncCL4PBpSwUud7hZUPnLHmmBIKQlYSIzTeIXm+C4wWAqq8dVYUPmCtjDUwilkaizmV8bPYeNL+RIIPLQfg/8AWL1NB9zDDS+s1PfXzFE0t3+AwdH5GntdeM1UnNUuJz5mjXbVamZy5iHiq5usGGG/bp1eXXqhBawpbsQ6tSW1Du5NthAsErR9+1t+47ls+WkbPQ683VChBMARpaMT/wDnv8uL+R40vvXBBDP/AAHtF6mg+4jIQ92UMozRbq6Qs8TT3bx9x8Dzwb+xjGO1Kh8XGU0x/rmofAH49J+NoRDDDwX8soQHU23TBZhb2ryzafSqrJQiOyjcwlUYdwgMtqxNOf8A6ePi+MwANmYcOKs1uDkQx/I8aX2rgn/Jh/CvvF6mg++34t5l1fMWtsS6tqLAZTqQfuPgeZYxiqFVo3zbhR2shUNG9dMfiYY0MPAe7ttTSettkXJbbiUrk1fiZ1QWamsRtSkGoUFr8lG7nuuno2Nxu7XOzE2DNXKzNu0bcuowsPhoPGl818D+MxvxJ7xepvI+8jIqPDUU7pWRaliNRYsqd0VHVx9g8vhDWuOFhwKhheHrquDeuj8GGNGh4fvUWq1I+Gku9tHX21A+dLhWfVNj5NNs+MprNpbTBIyAIjtKDmrjesO0C21Qovm/Mp728D4aDxpZXP0fwGP+NPyftepvyD/BZ8X4aimDbqE70WKTU2zdK7dx+vdiKC7cG+bjxwu7W8LPTSjFRhjQw8Gmw5u/FyOctX9dL/2EjEHneVm8Yb5PokNYtOY5iJuIGBxcZSwnBryoVZu7aXvdwb1afrSyuH1f/wDOZZ6J+QeV6j+X7qbhaIwyKj24X07TZ/fWlhrlN+1mVLkWxqz9LMFABd+FrYATag8cNT68L/Sv1PBoYeDT31momn/FrPRe8YSmkPZfTtMrOHp1HKFmrZpvzK7iGRtydGpTbOc2GfMXuam2mm9bhG9Gi1Ma9L4rn6I3UXVhJd4r/IPK9R9vuRzVZRqOaY/xfjdUUNgDDG00XGs/GxcPREdXHU7BFVSx/cdggRY3hfHDUj+pe6zUReBjQw8GmkBNupPdQRUwBFlYUgM0DvW2o505fxvC7grhJXRzRp/cAAdGq1K1ry2I2GKOCuyWUahbQfXW5wnbQ6X0rhYAI67NZ2lytiv8o8r1H2+5h30va6MMis9uN1O2MsrALfOp9PfzY9XdLe/QzBQgLng7BQiljG9V9eFgzXQc1T2vXgYe8PEzRj+vUfksflox3Ioy61LWrD/6LICj1kqsCo9Vq7JX+OhQdR0ajVQnJ0vo1cFUsARSYO0TUWrLbWtiXD+PpfWzIolH59b+R/8A81X5V8r1f9fdZ5o7W8H+LdF1OIygjm7lU7WRt6OiuM2UxWDCeIP7W4WOECIWPBvWv046b1Y4FUPxrO3lhRgdp4bwe4lfeV2FXfvqdT6/+VX52JypC32beZWcEgY07f8Az7Rw035uF+oWkPqrWHDT27CMGeJfZvfp0zQrurOFqAdDYxZrfwUfmWL1NYBZ91vlOzcCMis9N1MVEJsRqm092xuDVYKWbof7X4O4WKnf6KyEtsffF7I+DXvwAw2ZGS3yyIcTT+z9rWB36j8X/lX+fUbwhrZ0srUpUgZRo6oVCJw035JqLeVUSSejS2fHU6jPXScWpNoM1QA05hsDU6f8yiDpc4UK28fdd5Hle6cH+LdOqr+K2DFqcs0agpEtV+GolOOVHfESvB+iy4LCCbKBk3naysbI4/rrss2lnhLwl4S0VmEViWBZhYByF9f/AEFRm3Ap+Wnq7OvdbPAh8ab3mufNvSCVHWnunDWn+kwHCJNO3xHTqATTS+YPus78KDmrgRkVnpIyBUvNIbT2cqu6EMhr1LrK3VrKrFUlnsiIE+gnENjWFKlSXPucdhaAQq4FodZXg1EfN/Yw+KPy3ACxUAl6k1JbsC7msX1tbbNLtK24Rq7OzeU9T66XzLm3W/UOI80jAmrvRwfPiVd2r7QcT4L7Z5FY+f3hSZpFZeh/i3TqVlf91tmlxC+Z2Upp+ZWldgb+Ras/lxdRW0Bz0veogreyABRa8tr2VDuLPAIzqdrV7k2Fl5rkZLLGYSo/3XsMqStFlljKFJhBD6R35ljgLRaymzcWHM3RYfXSy9ttNWnsDdxNVSMfWvlbQsOqjLmbCI+C9P5Eg4E4ltrqiWLKnWD7ySTpm2OLUY8SMis9OobCab4NGVWFun2hHak02K3FqK2nItrnNvWfyGnNtacqx4laJwttCyjzY6OlT/1sA4GmBCVo85SBiq5ZRu2Ah0GY1YC1btroK41mIH3TTsCmoqXcwCWakdqvJ8j2b00vh7m58NiCc6qWbd0ALFdJForEwBHAMapIe3BVgdFhsmcwAz9OuJV7pF4eTZWkZAZSncf4M96Py9FgxAcjgSAKRzHuG2xTuWWfjRQ9FqbLarXwmpRoCD1M6rDY9k5W1MF7a9MUakxfCeEHyYTHZh3HhgTF0+TZhBpU/ruPfEMqbsmDGszHuzKHO8+T5f0rflped1+9sdGlHy3zfH1G2G5zNx4ZlVbWwaRZ/EWDTKIVUS1cQGVjFi9osZsQcMf4W9aO1+B1L8W4Wf3WdgLcMlDgLD40/wCDaBqbKChU1XQ6dlnMvSfyln8pZ/JzM3vFohIrWxy0IYNzxKvevwkX8h4WSqrtsjfBLHzK9SVR8FQYvyZAFrJGdoectFiextEbud7FNSx3dVfYGyJWzy+leVxVM2VoFHBoZZ6nzU6gPcGKPNocmxgOa4n8nupyv32DFiH5dVgyFO5brDKqxWjoLAAqqh5d3Mh17ZXWMi6e43XyylXgd6otitMTavGx9inVZn8gQ3JN9TFBhq4DiZ/sawAb4xG5LFYFlmtf+o95+1bs6GIDGYhay2RT/WWJlSsV2RvjFfvc+8lfj05MRZ8p85ZWeAlZA1P8gCC9WnNADahYbgY3cHyPFY+SZ2jw4O5ldpybOYnZfv1KEWqGi906nJrlNezhn5zVDvuBR/czQ/kzM8HoE5llUW9DM54eY9e2PXHXtEPZDG8WWCUFY3abgGqf4m3vY2eBgzAxE3nDtFyZy9yadBLrF5ZZsKzmXAIjHuDFo3xtNhePebmnNac4zmwnMWUrutep5yml1e2zlthlaAEA9yFlY7p5EHvB7f4NUQSJVYeVveHcZtcCs/GbhG+eoRiR3hYC6ai1JUe135TNIByuL2bTuyGrQwBpm8Tm92KtO878OwrLEor70dswEiO7GomPu2d8jh2ljjAOYsNeSqERFeEW5qVjFV7I1PLGosLGftDgF+30pNIv9jErFYBrGV2R8hu8abTGbEWVjv4C+Inj/AtqvRNO427kBuvVCttthqrZSwEGZ3XUtlHL7FtO9k1Flc0+x7hUu9tPSx5NXOVFQcM8OYMmyF0M50suWHB4d5uMJOMmLcyBWayKuTj4smDfgQGAggmGDMG+CfCZRSqqSMS9nrWjVkS7UFgTCMGs/KMe301Caf8AIBgttMZEgIjcDZtnmU91rh7mMcKO3+F32wuxm4wZMIM0j7dRmbpuEuKleajK1gCW4HADMTUbUOqhvPNe4tP5DTnvOa8VmYt8TvMbOe4jRfTg0QHaASRpCR6ml4tqk23Bkfgp+OQRBBCZnJ7FtwxQMmwb1wJuEUFz4lKglq6711NIpP00mUvt1HYxgBGAMAVYxmZZ7LKPCReDef8AC/R3nib2m5pkz5TvjdgMclRuPLm2bRDjPYxfGIFyf0R8uAEvqNcDALMwysnG/DaV90uGHol/5D5sTsR3CkDtO03YgfM7iGKNiQTHY+LJpva16zSCZp/6m1Tmyz6VOC3tp7MobFj2CF4TmCN7CUeP++DMNxtm5zE3Dq3Cc1foxXMJO03GZMKwWYHPiuWm0S7ILHhp7KqU/lVNH1Am75EIIX2gHv8Ao/101JuXOSfOZmE7oUI4ATaxn4leaHzqfyVeL/c4z3cVadRL+Xy7T3/XCtQ5ddkySB5XxwLRHwfMxiKxhLcv6v1pO62UmETEA4HyolXhfcR0Jbl96izP0O+2b2MazBRNw2KPo5iRcMMcTD7TJi2MI0RQ82FCAhGAIa9zbts+BUVgjssrO99S2Xf+vTbpkzJ4Dsee0FzTmvDY54AZNC7G1ZxYLSA17OSwiW4Z7GaMM1WdyBwxFGIqmwgYPIUtcoCOu0j2YYlabmr0yMn8WufxqhLmB+oQzRdoY4E2wiND5q8gYB7AcFifl6r0/vT0+jlvKVKrxMZBuVE5jrSsrlhOKwOcw2Nvs223OWoAIwyrddmBe9rbm0g2iscy/VvlutPa10Ol/VSxzh9aDvFbtDQyDuYuRFbBAlvsGxGIglVgUHwNxf8AVzZR3DMPe3xQcCi9eDntq0ROvBmybQIozCyrKbsWBgwIzMYDnEYwwdihDH9V+D4T0r/J1W/lX1+jExHDEFSVC/Hl7VZPg47L8zNhssWlf5l1S/x9PYOXfWHmj7F7q1jkLCxMABDHZTpey2nLdNVT2sdFYItSAWD+zOBuGwN3vZXlc2FggCRrslTKzmnVri3gE+KHaS+UU7pbbklcK3hO5dcKnsoxNgAC4Ou/N0BckDAbiew2kzZNM+IJq9RtOTnOeIJETUmVMGj+P1V+Tqf8o8fRzUEOoSHUrP5M/kNKnDQqGSyt8p8Tu7U2iiUvtB1BiuVHN7I3ZWCy477Yns5h+FBznExNkxBK7mUNdmFoPcnE8lO8sMoyCd+f2ihyw2W6f2uXfVtySIrHLgTcRKrWwh+TsuxvFfmz1T2HHXfn4qNx8cD2CjJHR6yzUuwxMcQJ4glbMhqsFjHxT79Tfk+nkicpJsrnwm6bjMmbiI3aH5T2O1sKCxIIgEHnDMNnzZe1fhflbqG77uAB4GAQAmE7agrMUqcWcl4VxZubaaSiJ+TXEwZz4e8RGwzL8h77QVYbT3J5eIBsbPfJMfxV5s9U9kyX32xueBezM/FBtWGPBw/UMPyOJiYmIBD2gE9icAbsSu/etPt1f+n29s8e7RM2I9fxBOVOAfb9FO69z8THQbT408syTwrAss/hJg1gMti7HZVeuzFYvbmNYzTMHkjMPemtJYAy7FWBcvce6d1U7qdQNt3MxHJaL3m/+ot8gYj4R/FZ7v6r7YyxrcQ7lj8ahk8P+j+ToaCfodB7sZ6jhmaZsnqX3+/HeLZsFP8AXe4JJrXcWAY+RwIzNomNscz1pBzD5gbBrsJRLgVNVdsu0riBMVyyhOXyMAnc6+v/ABX6t4IhxWGOSvZ9P66hCanqZIMkAQytKwrKZ5Bi+X9V8wGMfjf+SAZIGBCYvsPfo/f6Pnp/6zkzPDSnFnVX7/4f25lRGAEsHLDB6woXJMzAcs4ns9xiTlOSNNZBpYtIWBADBc6zUXJsXTtciJejHUrtN3NdfA9Uh8WWhZ3YsPlsbNRWuhnNt2Gg0hVeRUJs04m+gS60tM8B58jwRFb5S8fKVL24NE8r7w8VGeC9Bn/RMA6KjizpPir3/wAJmQVU4AY4W+X2ixqQWQV5W2g5NO1R64AlK5EzxzxaxDZe4eUXFZbqC05VDB9MVIMVjtJVI1rPKEQMbacnUKIdTDa5mjcmPdiXs7HhSAY8xEWAQzvwFk5hmGaBct44GfpfK+3H9CGDobsPAUcTwTu/S3rT7f4TPiYQVOZu4VvsItyTL2wqwxRheJbj5hwGMMD5gE3Os57zdY8FeSqALeDAMR/YxcTnFljeuJth7LiY4CHhshTExAxA01RtLacyxWWGZme49p+/3++pjPJ6Qe/S/pT5/wAXLrEuZCrEGAxTBFgsObTus8Fcb+YsNyzmmG1oWJisQwsB4EQ4lhBKN2UdmWCDOO8DSyzsGzG7mKwCL5jHPAQ9z14mOGmXbUY1YaNpVMfSsIylYPP6E/6HD/r9/qNwXjmd+Ag6bPSn/EZiPEm0GbYPVTlScBfOcwzMz0f9Y7AkQMDCO20ROuyDxwz2oTep7cT4HWOJiDC9D1q0s0sNTiCDyOAn6/Q8GAZPE9A8dFvpT/jDtLF2k9jnbGfsvgHYXPbHwh8dP7UcQcTsZjHEdFnnoos5dljKXzMxjwBM3zsegQcPLL46sQoDOSk5CT+Ks/idm0jRq3WE8EHbieiuz47pkcMS70p/xqgZLEIfGVJysURV3Qnu3rwyJum6ZJ4HzUZgGFSPqPtwyJumYMcFn7g4YmSJunbG6bzMys/2bsTfN0zMzMzMzMzMwcSI9KmNp1nj6M4gsgtaC6C5Za+5ajgbh/ip9WGQBiMO8HgMc8BwZeIHx/RlUHAp0ZnbgSJuEJ756/8AnEx1Edujn5AeKYDxwZ345m+cwwPmdoY05LtORZDW468AzGIC0BaCbznmNBaILVgebpkdC+vQe3RTCIwj9+AgXE/ZlfFlzwQZr/RlcHHzCnQ5PBfB89GJjqz0N46DMyuyBpvm+cycyG2c2bmMAsMFTmLUBNizbBiZmYTGAMepYyEcVSMuOjwAeG4ibxARAzCC5oLhBYs3SthgEHoPRX2BYRrUENimVDLcl1OCTuGz45GyfoNngy5ml7weDK/I6TgwriZjcB68NswPpbzA8U5jeOnYcL2E3ETmNA5i1loKYqrBiYHRmZmehoYx+QMT1bGTtwuMNiHucY444bjBYZzJuWCfwgTyjW8zMwKxhrxAgjFs8u4iitbZ/HTBWFuVVZ8YjFp4CYMxiHx2gbhW2xhD4TyOs+WmJ4A+xvPADAc9ImTjgeGJXYUiWKwxCSIHm+Z62MJjGfx2nKwVwFwphRTFQCP7bMDEAhQGFSJtLw1sOHaBCYviq8S19zeYoSKK+Fo4LXltwWHbzDYxlpO6ruFqaJWAGgbEU5R/TgrcTE8jrb2aCN9reYg7w9IWKN3WDiJfA4M7cMmbpmDi5jGEzObJgGcpc4m2NuWZm4HhiYh7BcZm0Q0qZySId0BxC0zMzdFtYQ27ogQxj8ozYgORbF80n/6NScIeCfjs9OK8DEg629jB9zeYvYMeG08QoAUG1mOB5g4Hp7iC0wWzmTfN8FkDwvCSYY54L69GMzlCGpZy2Ey4nMEyrQIuTgTmCbxMg8AsxMTHHM3QNAECcLPE8S198PkwelvjhgLM5i+sSDrf2M/f2t5Ud4fMyeAAUd3bsq8MdWJiYhGOG4zmTmQWxXzCYzw8E/H9OIalmxxNziZXhgxN0QLjak5azlicqcoxlIPibhEh8JwcYYARe7apMW/uW+V09jKf6+A87cCJB46n8mfv7Wi+GPaAidptAhyWQY6McTMzM38MzvMGYhExxyeB4U96ftKgw0rNtizmEReyQzEyqx9R2LE8aofC8ARulFLi3WewHyLiZ+WlfDauoc0VICESPHUrFi+Op/8AB+43FRgEliAcKsxO8JxN8zxxNkC4mJjpPSeGn/C9mJloH+82iG8zmNN7dVPBfaH2r97LwBa7NM4iYmOydpq/UWZGWMCxstNu2J46n/wniiz5WFV2giZh4GEQzJETv9Z6DwqfbQIzYmWlT/5sSr2n/Ub3owGstryxG6LwzNQf6kY7fkZtmIy7Sh63/wALcFGYF3cMcDwPTV9Z6DwTx4A7nO4kxHKkHI+/ExNs2TlzGyyLW7sunMtepF8wdlG2EZKjuAMv2NjBkTxwHm3aYfKt1P4+88R5n7h4Hqq+jMzM9aCWmfoeM4gbMobt9eJiYm2BJsmJsM2qJf7b5/JCo9haNB5zPjnGYQRAxEZt7MMEGFsFSeFrwnuIG6W8fe3AdpVMzPE+c9Krnh3ned5n7E8r4c5aeTem0ylsP9eyCubRAs2TCibpng53Voss8wjg3rX6ukMz2AzO+QZ2gEPiGK3AHHQ3rwHj6s8TwT1/ZMJ7Zh6VGT9GfoMrnhYPNQydUP64PKnK/UFM2CZUTdM9Fpwu5sIfj5gWOOw82H40g4J7NMfFTg/sCbTlIfFaZhonJAm3HAHHFvHAePoz0HiJ+4fHA9CjAh4Z+nMzM8DElnpBNOv9dnyo4UHNf1N9F3v/AOSetfsI8HgeT+OPP+YnhPBghlPrwPFeB8cB46j9h8cD0jg32/qJLvWfqn8X/jw0v4/q/8QAIhEAAgEDBQEBAQEAAAAAAAAAAAERAkBQEBIgMDEhQQNg/9oACAEDAQE/AbZ5GeE8oyNPmjWQp8Pg3kEyT3I7SMjQ/wAKnnPyx/LOlDjRKTYOnhFtNsvh9J0ggfCOlX8m4Yj6SSR2Loggi4p1ePQmO0VMjpgbgmbCeD5IiyXCSLqlkjfdHJKff9Glkpt0jabXkKdYNptNrIxdL6IIs3cbjd0NYtMnkyOcdDFeSbiSbJ6sn5I/6wU1qqxntmyXjHQ2yj+bXvfNhPetFrV7iXbOxYu1Wb4vrQxcv//EACMRAAIBBAMAAQUAAAAAAAAAAAERAAIwQFAQEiBBAxMhMnD/2gAIAQIBAT8BxhsVuzsjsjs3sqhKRpXuzy52nbBWefDjg1iigh4V42HHHw8EeTirlRRa54azTnkcLBX8vM7R7A+O07Rx6siy9WorDwhkqL0I74hGYooorq9iCfkV9Z9uGgjXiV/tSZ3EqrBvrPPB+ODPpBDUj184AwRDdOGPItmCH1//xAA1EAABAgQDCAEDAgcAAwAAAAABABECECExEiBBAyIwMkBRYXGBE5GhQrEjM1BSYnKCYNHh/9oACAEBAAY/Avox3HKVVCLTXqNZg6aIZnX6lquaUPtRK28qp4luQtOqa4n3VmytprwoveU+lF7XzIdNih+FjFxWWA/HT/Mvpj5QHxwHlheiCA0Td0XTIBVTsqq0qjOwuZ04EXvKUfa+ZDpmRgi5TdR7PUVh8heQn16elzZedUOwM6lcw4BPaTL2mlSdVRUlQ5HN5OUQCqsVWBPDli9y+JxIoe5Dpq3WMXQb+bs7eVihsV4PTEkrHFfTxlsEXhdgoogKZy68SE+VXZMqQyuFcSqn/Cc3mYZWk4T5DI+pxSg/2Q6fFLHCvrbL/oL2sEXx0JyYjyi3mXiFFQyCi8hEec8PtFYnWKKywrwmJWvsrcanhYauFFAt1HusRDqtPCtfJE9grZIochkfU45QfKHUGHsmK8IbXZ8hlhi5ugM8P6ReTpzcohN2MgGun1ZE9znh9y2tKCyMFlTeKIr4lFEag2UUQF0S1TIopisQ7qHJHOknhTzMop7SWz+UPfAHQCMS8o7LacpTfp0ThCGP79Dgh5j+EwkINNZxwyqJEdjnh9oxdlHGdUXF00KrILeM7FcszH3yf8qgPtB7oUkGQGWKe0ls/SHvgDoGRgOksUN19Ha/BWGJVsqPHB+YU8JfjY08XMZOn1M/YmVEfPAOEuv+ZYj8SqmhIHpVW8rJoQql0YhcSGQRdk5yQ5op7SWz/wBVD74A9dCI/vPHAvp7Tm0KMG05UCKjTyvqbE4Yv3WGMYY+3EclY4v+RNtBk2ZyDzwIH/Um8okXdb2iebJyt1YnVZCibIRLFGn0kDMzintJbP8A1UPvgfHHpJlhNxPHAv8AOH8rDFWBULhfseyw7b4i4TlAx20hmwuU2QHzkHAH+Kh9yHZ1RVVXZbpnvVey0HpVKvRA5TELJpgqlCNJH1LG1FFOId0GixOtn/qoffT4oUzMZCP75McFlib2E4XhaELd3oO2oTwnO5WPaX0HablY4uY5hIDgxRIelCB2TFluxLdqoWh3oU8UQLhYiHZDAx9IRNu915RINRoyEJg1TDKYbxFAw1CrPFDddouyKgc90fSMqkLmF1AP8VCQCwhUPvqmWE3GTFDZeEITrRdiExpEsezOGP8AdYNoMMX75XKxx/Am5WOP4EjkKEvWSmUnuU3iQdGBrp4bo/5QpniJCYxEEIRNRNhGE6KgpdQ+lGSLZTBsjUXOWs+coYkdmeyPtRNKFD0j6UPUD3MR/fLig+yxChH5TbSvYoRBCIJogq78HfUJ4S88R5BYd8mPafAmWyxDsZRRd1irRY4dQrXRaVFSQh0X/SCEsIUUO0LKIfZYjZ5ekHFpRz7xdlzfabRWn40zGFELD9Le7rGniLo+kOA3fpMJ0y4oPsiIqP8AhMUx5TPHsqH8FMaRC4WH9Av5n5WKO/7cHaAoQw6puy3rIQBsKFQroK6uEUPaxUu6hQk8CO0KEQF0xVXKIhDCccn10TnK3ZYIPk54ZmTB3YIZyU79CJiPN9QXF19Pah4f2VC4TGsK3TIYP5miDSaGsSxRVi4NKlPtA1EY/sqarBSqbshUq5Wq1WqoqrmXwhKsaig8JuxUQQKM45Yf7c1NeAPc/nIIa5om6C8oZssPbKyOzj+6D1T7M4T2TGhW8HUUZPgKME6poAw7leeBVYdmPlee6EOiZFUTWDqHKyDBUUJFgEQauhC95YuyjIThCQlHKI+ehwDQyYoZaTPQUUWINkxZhF8J4hSEN8p9kW8LBt4flVAiCeGNijENKLfg/C3oCrsqZaVKeMsOyYLDDdeXQMrq4QGKFcwV1dNKEwkUUcUN3dMYpEijI44yyiERREMLkreFEIe8j7lH7UXeyxPCD5W/hiWOAcayoZEhDJVYwzL6kSv0DujjNEwOXCdMuEViioFgOv7yaIOjFAadk7XUY7xT5W9L+FGt6Bfy1uwLfiZUEmF0TFdRQwxAlQy5kcQssTWWKbvVMqFYFyq63qpkCLarZxCQ8iRRUXtYdrUA2VYFcBXW7aTBViVlQKoVp1zOhkf7JzCSqQxIluiGXEE83K+tF/ynGtR7CBGsovShxDRHAKKlfBVaKmapTbMLvEqxiE2TmN03acWZyvKxd0S8nCunJoCm0GqG8VDDpIFFHu6iKbEcuIzpK8/CrkcJjKsm1NukKgeufDP6Q5RzSeEuYKow9jT1IqFAd4Vj2X2W+GiX8ONb0LqsJVluwkqzJ4y6tRbjJyyqFEZxZMUUjF2lhVJMgUMKuql53WH8qsLcCieKgW4KjIIVTO8RYoCGzyxH4XlWTOED0EQUPg1z+QnX09nzn8JgmjsmhFFh+P8A0rJsAWEQhAkMwk9imjFFQysJuyrC65FWBajIUTdBoboap1dAdzNlRe5e0Y4Yq9pPEGm8WiLq/AurhPME2XKZ2ORp2VAuVYeyA6CI6SGc4Q7rFFWM3Mmli7oEI+5fGR4KLfFJUmfS3YQhKH3PyvcnZHHRUObdBbWThPCU8S3TZOmT6zpRUNeJzIA90AFfKU0jKL30LwlxKFoSVyD7qrI7yvK6PiFeQrqp0l9M3KIUUhE1cjJ+6t9lzMqh1vBUV5hioY3rKkMhSTk+slVRXVI1zQqjfdWKpBEyOMEALwndAHSVOLE/Zd1vmquuVWaY7yOR+/QjEC7Sai5gmhqtyFPHEqQurFP/AHBYu6MUdkYsSofusW0iD6IxOnLow4aMt2FgrK02GisEHilad1eV0wAnhkwL5uUfZVhh+yrDCt4E+inA2ivtAmxEv3TRFXV5PxYvScyoqTsnQR9pukaElXV5w+aK65lzJwahVTNVUmIbtLEge0rq65mXO6umFc5TJ8QkGFEWFlQsnPAcyIATuUzzYSeK0gAX4fuiqrBWVq5ok/eUPvprJ1qteEMxmAhi1V8hhEmRQnCZVGRrFVk5vmPpCFt4KhTnlPZVFBbib2Yzw95iVAt7j8q5AuUZeVDlVIkxnXmKp+yoCsTeF/cVSACcJ/UViOiMryZVVpUBRfmKecPuZD2sO6xbVbl5PPmTwlPFltL/AOyZ2dRDh1UScZwE/eTuiCVhizUCYmqcqg4LjKZUVVW6rRO2IIbodW/CJNPlYS/yE5cJ4S68oQDVMLBCHUzvJ5XH2V1UmTISohimfwoT2QyPqqmTmEFDdaqbI5dapyDRUDDiGHO0h4mT5XzndDg8pW9lsm2hIC/huT5WIhOgHZ0y3YAExRcOnZ2RGEAFPDQSi2h9BD7puCQGdD0nKAEqBOZMgUYe9pUmzKxQXMqkUOip2yCCTalQ9zxHTjOGyBfPAHD3Uz1TFMEI/KfsvcodnCsP9gqioH7MicKNExCt95dihAo9pnaEKrLmwrCqSDrdk8VAhFtMMT/pTMACjCoTqKJxY1yghb1lhhsnfIyFFRx8p3dfGakqoDJhMsECd8lFvBFu6bvwTwrysVSFWW8msvCMBkY/1FGKLmiTI1VSmfCFQZQO+dtFqqleVVdlZPDRV1QxURTGUUH9wXrI8mdVhdEYeB8ZWEnTlPkdNDQcBwV5HBPCrGFzFcp+6pAFQD7K8xGnhsJd/UiJfK3W9pyn8p0BO+WiDXVirHwqsmWBoW7rEyChGioh7QKhjUUOkSKq86ypmYLlWM2TxXbO3Fcz7Jor8A8bzkwBDZwhmuUwCoidTOyqcMIW7ASr/EjHkwmJoU8MSpiLaprqg0TsoiNVWJVik6ITqoVBJkygi1FFi0iqvKcyAisE7KqMBGa61Qm/QtJzwvnoiw3jQLC7uEOy7LCclUzz95HRwlvC3oaeFuqiPdpbOqeGDE3lOxEjkfWe0h0VQxBW9OieNiWssWGifPrNunbvn+ejB7Kt1U0Ri0T2KZpvL0mlSErRViVynEt6oVIarFCwCxHlCq6EWFpmTC6rIEQlAxVPZYYjdVcrejuqxfmVB+Fhct2VJ1nvFVTgMJPN5HhPL0myw9U0xDoF6Rw3W+KpgQyvKixEStmgNN0FHCGTAshCbK9U8KsVZVKaGgX8Vbo/C5SuVaBEDZ4vK/R908UyYp3y1Coqpsxy04ozHpKiuRsjd5gcOqqGVIlorlVVE+Qvomh3YewygcMxKkSrxq8AZj0nOUMELMqDKAZh1ed1dUKrTJRNhTDJqquiEJxOKxdCJVVFSqqh1B6kydOnPBoq0lbiMoxqybjjLULdKtIzJ4o6lkHuZ0l4Q4T5O3FfRbuaqpnHC5VQLVUKoVUJuEK5j0bzGWnC7cMcB89Qr5IffQWVODUKkRWhVQrq6PRmbKiZUy0m+ame/T1v0NArKsJ4NFUCVDKoV1fjmfqRVZnKfHApkvI9RVXz0BVlUqs7ZLKnD7KqqFQrmVQqqkUmVOBZVlZMAT6T4UXTMt6yODLHCe3Db+gXVehE6ZqZKyoUd5GdFZVk0N07o4iXTAVkMGtygxVZF0cro/0Rs3jjt3VwmMSpVWm2eyrLwmdVTyqqZHAV1jhBeZgOq/iEQgKKOwamQzrxD0T530Xjgb3FBlVPOiERCvwd0rehfNdVV0cglC9k3fgV/oeKP7KtgqcGhVeE0hwN0qodVp0IwmuuVxogVWQQnW/Hr0mKK+glhHTw+uH2W7Et6B12VFaVVdXV1zBUTZ6WkIRqvjI4H5Tfq/oN1+lOwdV4lVTgXyQ8aoVKKkTrehy1K3FfPv1EoSfaHqbr2h5TM5XKmVqddii+J3qr9OE2quq8eioJX4RQdWQfSRdUlCVaTkrx1uKK2auS/wDUnismhCOG02kFZXVUwVbpuq8JzbQcM9G5lReOo3YXT7QgBNAFUyedZDK5VFXqcP365srdFaVUCJNCrzqFaVZ0yt1Tp+JSV+jEhx6BVOV05zBUoqpsx/rnpAzB4fZVKpwaK/2RYSATtSbyKdVkZX/rR8o+pjpDkjnAjM/+AhH1xv/EACkQAQACAgEEAQQCAwEBAAAAAAEAESExQRBRYXEgMIGRobHBQNHw4fH/2gAIAQEAAT8h8lyGCMmnvPtcgbLP8Ll63NXPwOPKurcB/LzDh8fDZN09aYPr8IO0aG2oOWCvMtFKfUyHPtLrtVGUteFwz3pnChmuYjutxQo3iHedviBXd4eIndYeIl0nqc89pRoQHMFxCsqDwWf9JXRp7nI7m71/cNfD9tNftmv7zea9Af5XQO5+ofO3/XksZdwwHBh27ynwZSvyf4R8Nm5mWx9fAw7ehu679iDSwVT4umH9YLZGVCRa08RYwrN1CLgdm4aFrwtwCrWE1k+Yh3uZWjSZIbm/UBApBhpBnJwtRAMQJawRUroh9ih1fvvNS2ADpu9f3NPh+0mv7z+Fm81n65P301PnHc/W/wAa4q/tH7BR2YE9hRsYAXof8HRiej7fBoWXc1i8Qm/beV3Y65rH36p6D2zaSasK/aAEvUSwem9AuKYWF3FyvJZP7slT2RCrZV0NSzRGvUDwYBysht/GbTiu8Ql/YlpslYZ3eCYXkUtaIh8lTix10YXMVeGLUzWmafD9xNE2Rv1Rfkgy+cdSaHj52r3NfrN2/cwrhuK+cnj7TUOSu3clA33oIljY/wCBsbmjis/C8ADMrHlp2S4edEre42+46HudLArLiK6dhBsFaWKPEW+sYcQLjAOmujR7umSrxDTbLlmIquHLo3xClATyBKHEgYlMfxDIpfEDHK/dMnO/XR1iKDaQLammUEtIYREgEd6erP22afkF37SCKXi9znoPjqe5r9bBPvMJAOEuzxMLZ/fHrtpKqb2/wNbbm+FZ6rUdonM/bo4jy/fpOweOhCNGdQzDwy426cGGsK9DGB5MUCnDARo9xSN4HeWMK1xOyYEimPvBoWzBqBaCZTik5zuWKbzdS35BAUqw3KRtNd5Y7U8LzLGaUsv4UTtJkiEGCZmpY1Pdy+rqfvTT1ppOSax/ZGXs6j48Jr9YEGHxXSMtbG8c8vJEfIa4jaG78kGww/f1+TM4Q9bMfN7+IQ5rH2l52kY8xZ5CJd0jZYwuYDwZaxy9UIehn6KIOyPTk4SvAs5GGIOzGYN4DWjzCi1iobPhMybeHCDYzMsVIhEmgMSrBVVz8KDcrcKDLLQypYx3ZYDL/fKscl9NGfsdD9To0l5Pc1n6n8p+inPQfK0+uHgW4IBOYPh6YdTx54Zalq2jjZqXhpdd31nSZtM66WD/AEjvCWontUxbTPV9130Kq4mCrtLOkJ+CZseEJrhcFcwmPYrXggzG2WqjPM/ATP0ywAEyV36iFaaiRILZAothE5gWompWvhW02wA+8MUcEilq8ytHM84WeCSumybvS/U6DUWf3NZ+2/mfpob6T5DT65OuYxyP49KNHmd5thBAWOHuTPAuLVQ7P+LJQ8PqOor34uJHOqrvFD5nx46BfdTKe6/Jv1IPcjX4gxaD2YVHZCH/AIczhg4XOUAv3ITRcFUnaVe3+ZQvkcTBVEpGvl7SvuX4l8Ak2qo8xFvws+yg/QpVFycSq0wdperwyhn313+uo/r6FpseTwzWf9XmfqIdE+P76afK8/SNXrUGS+l2DJsI+O4Yavl/uLRZlcCJ39s49iayO1z6+pTFVVsqVQf/AE6r879zRXX7xrq6U/Ik0+JPQY7VsExo5B+5kqufxKhplcvwDgmowYZ6AKNnMvQNx4haajbLlGM07lSB94RDj4eSCWniZD3nvKX8kB4VM01TXX9DoI1+3o3zD1PTqT+s6g+N6dv94a+siaY7PQXXMzOw9W4LbXEJemL8JgFT9eSFuPcNP4NwL1uOF9/Sv/RKuj/hfVSz4gmzZ2vdmrr9qg10dQKM4JpH4J6Lr8D+osH2/UNF7qy+ruQUwxBSAF/TLlweZZi2BB0orZxAEyRbflVX59oQbdm/jUFlvxAsxUflL+KePY08wun7qBNkTjD5n7x1M81pcNdY3qYejP0nUHx/ih9agB2SBZ6TGNa6nM/WhxHQy/4ZY0xMo9iXXytk3L/9wmVw/j5/8jYZ/wCi/crbp+EhHv8A8SWvU011sXhjt9zplTyzUjr4k9DP4xMH2TNhEK7Q+YzWqd6fBDZ813MR2xEK7QzAtQrPZKSHtS862l7YGVylRA6LUBAAaD4lECVXaUqs/Uz4VK5oljKDK2pyx+pEsg/7T8j/AJgzeejBF7Ymgnt5hteY4e456DbWvhEP8Vjo89LNczO/8Hq5KjunzO02UXDgdh7dota2YRrf3P8Axi9pb6jdenxQvQQSVfq/962snIb8HTgdpqrrUfE9Tx0cXY30WJESvcmTiJeonTREu34D9wSxbomNBvMDUcvUrh7QbnBv7MyDQNuoHzGIgFw5F3CmA3D0OAFZmzVvCX8LWfGioq2ajIrbLrOLgPESXJzc94lWNQSijs5lwrYUVBDVmHl6c0VTW54mAcXNHsZj6P8AU/e6g+Lv9cVC6lhmo38LdeOYarvVxDzoe0iqaSHyAmR4ncf+x5lfg6KBXAQpH/xHra3fBOSn4OoXkVLUsrq5EigLFlks2neCMZq5WErycwQTR3gEMI4K5mbsWOXIvcsUc1OWrioiu8UJ+7Kj/CykDcoqjlZhjYlwAdmlwcXuWffIU0HhZ8b3iah8NB9Jm7m4fNOe0Q2RoZZfvDAjmV05lw7o3meTyXbducoAROaha0gEOKPSbdB8dtPD6++KlhrpdDMTu/j8b7DPMe5I7pTHHDwzNEBEscdEVO+QK4cwmcNufd2mtdMLtaJbvcT6JiKNxhs6w3+thAfsm8Fp4bd43cPzC3cxs0jpBWNx3e0WRdguNV5X+oIz0+oqHk3ETd3TmAio/uNo0CiHmHE7B0ddfdHbEOEtY9KmTmXXMZS4hUDpcNdPuCoY7hK1O3TXoZC+IeoT4C41RFClBuafWEKhHZ8HXEPTN/EbDX6ET/cEUubLE7Sn/wBJO9nbofc4TW6K/fTuI0TPFnPb6OD9ElvFrMtkxqX/ADEaFQ8Ipku/aUYpPEaxubjuJGbi/t+pc86hLTxELTWEy9cbpTmP7HqJtruFZykIj8gTL1xWDNnqfu9KviIwc9HootUVA6MOrr1pzzcJUDvDiLU2u69QdwnL0HwABbCNet/XIzBETNQazorrdKYlb+MEWmA5LB2dv+8R1oM/clbzlys6ExFX9ykNil3UpkVcOiLDMZW1+gAtURhgcqE3vkoJmyCwADRHJLSEIckyO1yHmWCoHEhoe4CE4TetTkUhthamLu03K3vBXERCluZiB4IDxs2gtgzpndlcyo7xdTZP0qm71P2+nk+EQumMNfJj8Gv3DrIRCSuziV0itpChxBTpOlvJLQLl4lwS7P3h9b7wVovqZShqr+BpP3g2WfG+nFZP8P5luTkftEWchzaE1zIfeglI38kpxR2fUF0n6QpoTvV5gC0J8FAtmBkQvQVhoj2Z1AFMiyx+UJW9+IMYfmMu8e8DpTWrmg/JNDy7wGxOSL7Qhrg7y3R4RrjJFLSPFTjI2DZiZDAc6h5O01FCDKC/gmswkpDfO6mo7Kb/AF0DsNintgipcZRToeAiasrYQ1D4Z4JTydDXUKaIFphBj9pZuCm0jtGmOug1hAFqiGs3xGpt7MUKWVuoc39dNRax2ZRCOQ+PgSDKL3afHDGiS/mA+u+laAmnEWqHUwF1wyhWswPbog7Lm/C74RZdh2Z3T9p31+GcpPtDhbsTuh3ehmyNOPK5SwF4hVc1BV48xYqzvE9QQPEdkOkUqUxPtNoswNA5uPbjujuDbLa5jYIY/iZ7J8SxWnaDSeCaQ/Msjk4ECuipnMeXoWB98z9SbcYm1GmeJaF2+m48/aSoe/ipku79dDO5mC/xE2tnzA1H+IPRytinphsnbphvEhlah8RkqWYLNBqG27RYihDPwMRU9NGNFUOI4ylwV9fNDcFQuX5X4ojcbgAOerNKDcRA8DsR02j/AKPEHQhZ0Fh5QNsKyqWAv1M26G+CYDPALQnyJgzqd5nZF5ZU1TADca6hKqYHzQ3IvOVB5mBhklRlSVcE4tqGuVAC5OW5/wAcTSGu8Q8sL4ZodyipTMRMKapO9kFle3Sx+2Z+lNDytUvrvDhntcvo9AFxajL3TQ2nM1EeWdy5hForbRGZGYgCLBfB6CCppeugiWy1AAA4ldAf4GVWGGpazldQDQHxSyo73p11WV53/U8ICNZkaTgD+YydMy8RX6alEaS799A4Ch7hiLW54Z2f77hxRnnThcirFf4me2+xLrgO0TpCu8EMHwQoyXKVNPwM5w5gpnmDo7QEqwaRmq5YX7I3c3LK9w+BWYtBd8RIW845lyirfMakDR+IjiosslVz3XaHuDe089L6eui2sC6yZkDwRFv7CXLhPJEFg6MUPMQo6DaQRiwNywjl/GPGIjCGO4L8QvsZdHP+B7iY413RaGvllTuErOXMMmT9LvAWZ2vdmV1W8TFr2BMuMfx3/aLNQVftw+jUPMlMdMQ9s2a753s7RDsGf/KldL+59QBVDywJxv2Y7f8AmZqn9zmbE6wAZ1UMhh2jTM/rC5u6pwV4ZSwINN7kcajhbgG+UG1ixVwUAUExq4EqHIghw3Nr7nvDtIKZ3C7TQ7zMJ6JVcDUv4FcyzBiVZvMGusuS+mvR1sFRiH+ma/HuO8lrCTg0iMHSzUXesLQYxuXoCoiTkxmEcGqhqFtAqcH+BQHbcAtonEdnudPcESxK+F3wGDzFCvQl7eN9FqcuH34mgIkNe9No6XtCCGkpyRTbftxL1Wd05moDYPSqI8kELFQDVTzcrkFRB/SVNRVeZe+FQC17Wx0Y4GZqHcMuoEeubqPQL4m8MwSyvBEujHMroGNweA35j28aicS4qhdMRAx+6vqK+cuaeOO8TJfdMxf2RKaeojmBcwLfQbd4SvoozzMiv1i24oCA2afM2MPtKSv5lFWDDUM4lTeY2g1WZrMl7UQ1Dbf8x/g6GTjoqFIbniPcpeLxKQDPmDUbJuWRHhFWzWIJWavA2z1EDUl0z0yUeBOGW9rkgr2ThKoGaXBgy5UDe5h2KF0kEW41vCH1etAxDVDwy5RT3HLqeJdMQ91x3LpS7uu0OnZZjV5lwKK295lDcVVeWLMc+sLmyN3KuAY0Okmo/pMLBCJdZ95dZrxVIAqo8Zg3+Ajb7gcymKDQmAZd5QS+EHMBTyjZ2EJzHLf0RcKnsTGFTbgx12mIkTUWhtXad6iWpqG7mVQbQ4Kma+0vK8Q1nty9MvIX/BuZqihzDG5nbh5iwMdoXe8SrWee0aGRKolHP90o1+QlhRWCaTjaYgU7QiqW4GPVadsiJJHAwdjngikmvuB3DlCADIavpV/+pft+5dmaPMuX3rGDZHEomu0Bs1xCdyublQQleWXIB7ou1ksnCcmAsAyyhNneBexU2GpalGGZjIRImPTjmMVlPWCF/wDQSYlQ7FT8ELMN6PsEgKg5KVlBNMrWsuqPQSrFrUpq6q5mH0rBn6yAm+U3JcK3BMQ1CcQ8NparbgsQyxfvelzW3BBQDiH+AJRQMFzadA7mCiZlGTp17o86/M75OZm1UspIKwTQ2i3EUvy6NsXtGCnFR7mdk88XhblKk/eY7a+xPIgVj2ghWcTS2aOoVshrJpLMoLTG3PzLqB3XLAO6LKk4pllsjKG+Y+cm3GYO87IANzMdE0TYBzwQuoX3lwqzi5cNUZgGxrqIbcWDb/R3ArWsWbIlCxz9LIkHJoQA0LhX9U4R+JlIW+o210dpwxU24f6mYvfRqf4Sy9S4eZ+0Mi9I/eXc9A9sy4iUXjhmZfGCZSLQShzK9/1BFC7C3ErqjRVk8mppcqDvEz5ZXgleJSOhO8vQ2tEbsHwmaiLzKX0YOd5aNxXaVKYffAipqDM8yonOGOU3MtwdXED2hWdj9xA27DAZtLNBGY60IbzDjGoUVMFU8wlY7TFI7gVqE2A7qJRVPeREqhhw+jUM5yRbOGLgDjpSdRIFTPpC17Ta8C+oSw2yw8FwOJzaUG8v4WcsT5iTUv59y33lOpWdH9p2AIvBbUzCzi+pTj82YYA5zmLUoHZIccTxFtHpmvuNXNCzUNP48NhllrlRS2ZrUwH3i2LvOcBS72+xLXEC42mdz+GU7IisOblWyrxDnROI2ga+cSuc1faFWJRVHEDcLlzDTmxB3mS3AXkMuRQfnOLjxemWHFYlMLjgEZmBo45hmflqiiYZajHIilWRRfMtwiI9HEq91ClZ/MCU7iXY4r8/SrMrCTQ2XCdmLebnp0XBBksvZQuEdviMfaaSjKHaFmDREKVTWujCDHrRdxZSS1qDgIVy9CCwZfxq5X7RcA6KzA8QR4GOGAMHkDeQonSt3jhSDo2jW5wa+oqVnwCUw6OIVRjXZmJh+HMzNn3EYptDTsAR9qMxV4nmnkS3vEgNk5Fv2XFGB+yXn9QgWn7lP3mTdE4WpXgYblTDDxAZKDs1cay7OCI2axhGRc4/ZhoERwREhyIFAYt7l4H/AFHMQpCrlYAdU1Mc9VkoxgS6m6b1wCpxzDjWV0zv/vEeAy3CAa/Bf0jbFwGZQc2+ivqUXUpmJ0kN3Msq24gvmutn5o3Q9SYdkKNQkDtmYeiMIfITUHgKzGLU4mUslTfZjbQ6SEntI+xa8szByswnI2y4WaaxBAVEdJ4aiVYee09gkQUg4iFx7jAtJ2HEKm6u0xLRj6DobqEcVXuK3hmSU5IPHpSoX0wxTxwRtFKILEM8TMFryH/YnB2iCoq+YqiEG0palS1b3lyy1ywOUAAhGD7wp0tMLJKq77zZiU0F4AhoPJ8twYvie3uULtmy4JieZRa1LWdMyHyl+uh0MtdfLKFjzFZvemKk9oK7lfDPwyj9L6N+8MJnmmaOdxFzr8wGYqEdxSWUbygcGtvE8GjUA5atxFZZtd4gMXxE2M5JUtUN1KZRxxLDK7XcEo9Y3LKv9yUF9/czj0S2+RrY54gdukIjZ2CJe2P5gipieqrAzablCr9TbEskwQ6oDAcxEsjJMHNKJ23/AKmFsNJU5m1eYl/Iw+QssLgOO8Wy7Yr7oA8oNkqMxr5IKoYVn2EXCS4via/X4ti1AemeZ/CJWduCJfcYr64gi2aWbJasw6lamUS+XtF7FcGPMubjIumCxZ5I49YyHfro/mer8Zo+i8L+YHm5woLhbAmGZXGF3O0o7RvNMylnggjZD8TeZbWXAVUMCgx5CFa3sG2ait5loTRL0TiZe8wXyh2ktBrLd41mTMhNeCNUP3lzzR2KLWrhirY7QdGHmUtdGpZWJ2uHiexhYUt51DnS74lpkzxMOWj3n5MPZCBef8/8zMDiUMIc4lTKoajLIwVqoQRD769pmqbnX+D1zGpCACDVXKWokgZX9oECaSPBicPrPdlnfTVQvoKZuWWq37dIG1OA1Nk/kfnlI19E/qRA9r9oDye4ofy8zDRhi8jBGGZi75lrgfzzIBqbhXsuCwhuxnLlYlAeUMd8oNTb3uVOkYXcwJc1DRgg6B4jnUIdMs6U4GINJQzdm2tR0Cp2JkhPdi5eGH2zNUfUpwVKHuUPY7u5azzBoYRMXlNiKCyUXwwOwMffJBReIa6fUehmFe4WHF57Qmbxx5mF1UMRMTbF0uiLYGdr97mTQ3QhEa7nULxB8nT+UdpAxKxHChqcJbwkM/XUehVZdD8BMEwVEPCEmCv5n9/z37PifRw83R6VzsU2EOMK1DFVJCxPIRbd4U0ZuATxE1doQWxvLdROg72uKoOW4Jq+huDK1vzFLM87muBcIPneokx6Y7zRC3uBxDWUfui3ZB5SkQfQQaJrhJ5izEYlGeZiS7eyUz3P9TCNFJZCKxrD7QmC08eYZiKY8Q1CnaWY5TegaYspQYhx6RdbrEQwH1CD/TE3tus9fCiZ1Fg2Jl6dXptDRNX7wcsZXMJ9gR0UhVrMrz8EN2zGXXj55fSgor4c305Om70wV4W7zMLFd+5TrziZHw8MRSnqI0LjguPBMn3nB3hiOY2Js6YlEJKbtAgXlB1smcyqZ/ZZZ5Jbd3mCzdfecgcoHZjke/S4PE2HnospUD1tMzHg7y9jakezCVmC8jG0FJAmhxGz37St0r8y5ybClVKO+pwNm4rJrh6EZebbNkYTwiGhoOlUOYFZFz0Hc5Po9LzNp6Mq8HV1NEGvawyl0R/oTBuPZN5Z60+Tqaf8JqxviJXJGeVrK3HOhHEtNTfzZCYRbzNbiAtlJNhZAAAikpxApgltAjdPvE4/sQIhk4feZuzD3IOUs7xQTtu4ELhBLx9y5Ybjg5mKGdVHhNk/klGOXYcp5mgEVQPtBYsbx1NU5ar9S9SxpnGzgS5axy0fvDWF8RrQeUK6EGUgulepWiIfcIFniWDgpBMwcdK7edReJqaRt9TY6KcS9sWge5pp4ndGXzxDuix7l34xZhEr+5jnMXGulu8/Lf6mj31Pnm/hXSurybvMI8TmsO41NiRPgi99Y7jajwiBGI7RrOorpBRTO2CgG3FwK1M+T9pWLiyly4d1AN3MpGATgihJCozXcSqr802JI5hurtMBfXMFUr7EbgLHgXlhdn1GOJIFh/MBzVUsUQ32kYpv2m2mPGpajLgzExROHdJaW7BKOb6Hslo7jhgYvyPvEWVxrc0onno2hi6QsWLH9o0bSRbZgRjlriLF7INryzndx9z1NOn5k+X600ff/CpCul8iZmVfeaF5n7Qb7+8zpiONuO0StypO4U1o24nhg66geX0RqrjcxtDY1ipgOcsFSmGDGdvkM799zyx3ceIlKmPM94rDRLoTVNIr0XSOijEGG0dapHB+4dOuoEbaxGhZKcEalHmDyDEKNS3DLm5gGL9YuIaTlOJ2hqdvcXFd+m4UXaWPghggPLKCO8RmOWarv85/H9a5fSog4dRfs9QAsLa7lRj7yj3KiKDFzi33qW1a0RMYwplgzEeM4AsbcfidmJvnM+JqNu5E5NTJcFMzINxAm2czE4IFZgodP2iFf4ZtZ+0qG0aLvmIEkNDqMPLAxFlWmKHiaRAgzbxP7MJXQjCEoxMqoXkZguHYXNsSEMtMiydG5DaZKx1idkvJ7S5M9DDzM+prmPaTKVNiaHxcN/t/haSlXNoBc8R4Ex8xaJUMsISU8RSstjx0WlvfqP6TQ4zNy6AFw3ENCUrUvtGE46Opy9TARYsv4tzHXIQcEqBMKTW3mVXR+I1Em0qXiZ6MSC0TKMwLbcCOROk0i6JvA/eXlFUPMaggcESpVwRjDcP4vjvnL1/hcSghyOu8XgC67QUuhitqSXUjfeSLibUvA9w/JDXyGcYiUGEqJpL8r9SyzLjF0dxmX3dE6VKN+DHgrJSFmglj7iwWmHY/EvYiU5h1KLCgXzFpFm5fSi4l7I5zdBF9iPaPvFTCGOhYHIsdf0SspNe5R5sOqm+hLKg4nmQeYdPRjGnxH0q6uoU0TmWNyMyessSRllwSxsRsG4do6mLcT5j2nScTRKo8W3ebnpUFMfqYfDETcOj0y91xineVR7CKdyjiMwH7I5hmko6DQYD/AER3EVNZinieU/CIwrKkJDUrU8ZnnpxZlFiXL6WTTKTkPuVSBGMd/Cv8klel7nfw7qepxK+5wJh2DmWwp0kqV8hsh8rpq4zQ7MuiZBKHwcyuPuYgq4gqaah6ucGKju+lmdurYoaTYm3QQnOPiIm+oz12hbWHszW4LYll1wSjHtFO35LiXQgp7w18KlXwDTZMeF2mWbYEu5noUJ7Y6hQnhK2IswUbIitzG4Cy15iXB+/TAibi7j1FI6GGKXacksdufeILOZRpwPYM5wR3b7lmgzyJZMd5UqZh+KBnpRd9NzO1KZfhHapweJZwzKsEWJnfrsG+lxoSCOMeekmyICknJlGMuaVql9Nm/iJ4nmyg4uYxRXUlRpg9dvwI6cNy/GIkH2QHeU7yneJ7we8e3MJlpwe2f0RANl9wbiUrAQB06N+mBkMR2TzPWwtdyz3lst6Na8yrtCnSqWK/aeAnYE0yfcBoZwyRmiCmQOSKItdbiQwX0uL7zOVtKP8AtMAozXOZOzogLWjpSbmsywTm94PJPCHYU8xwnxBXbpsG4bAu+i16k+BDJ942WyWvDXPXiPc5ZS6lucT70waD6G2WjiIbLjDM29Lls+/Su+PUPsjiOsxgppa6EE7obFEMm4mpjcxxNpRmkVixYo5xNQILaW5cQilGZh4TwFzhS+2JXaXinJLf6xftANM8JgXSD81LGw9MEUUZelIW5M08pW7fiBzV+4676S3/AAEqFbxcyKB/cHSVNEdnv1DZraXuCJujmMBSVa4uGl/FTbGnYhXT09+wzb2m6auk+W/30iXEdPYgKMS/p7egWygJwR+FJVW2TRGcpWOhLvGNMR9+gY6gJRlnE3OZmVEqUdK5C5VR4paKJVDoRyXaEEBwxNhCh3mlJBNFTwDPQ95wKs6ERNIW8Tlb7iVpSpBKQVCYgjgyryl9iZBhGQHuC/4SmgQ5wRFl3O2gx7jgTCrWaROBijty57MyWd8xV1KcdWjNXQfMaTeafTOqy7wRY7b+KJw7mKL0Oe8XPTmaahKiOxpimPygGG5kTJphEUHO56Mp6PJPvDo6i5wifeJlbupsDEqIF8w0hKvqbzHoKWVFNk4qpbufbx3IKiMIJI0v5SmAr1Mhn7jAXBsx0LWM5IqymId9DDuMwM/m+DQ7Omk3Og+W6azaPHv6Z1uYKCYqlLqYLrHX8aO6cEdriDUNalwuJzBcqUymVBgG0/EB5ntCcegNTF0hzHToa9crrUQKY37fURxXrpX+kocN9pQqxgrBmILY9hh5yGgyos9epTMwUFF/MsM2o8SjoLx4zDO2XiuVc2ziWK9l9GAeI8HnpVtE8l29opZ6T0aQ+X8E0hFI1sfU56V3r0dxmebium5EHvrML7rLz3iXxGuoanM5m5XV8YG0uuWBcwXMBKOYHOCQj3E89HaeHyrrUS7BitfhO/fDEVUPEUefaBfBnkR6N1FarjXpce4/HRUg3ZDLMLi8joOyb5oxg8Ba6AnNlQLjsImkdBMieJTukYvy+Omv3N+qO1xm01fP+OaQ0lfU5m8FRR0amHshZqnLPqiBdrZaWMzKj5TEp9zAg+nsCZ514nilvieiEDGKmpfynM26P7D62hH3EcvSdpOzOXnqBIW8zSZmUwiSyIBTbvNko9HhmybsY6g8ERg/BTaHLGLeoV3EKmhLxgxHFJS3zSzgWeJRS1Xud7d074rHz3I6hv6vMSz0VvS2oH4p3lgcsFiZZ3FGOlPYibFSnErOI5l3WIJ3OB0mHwqCJK6V1/zYGLMDbinugiWfWIVlG6CL8xXbiq2/H+nTZGYffmS5F8wSGUPCzFosKLe7LtsoL44ivsY3cx1CpQxZIv5Tmix+fGOpz9Xno6I9Arg/uOSH/kCrbzLs8wyzNsal5hQWCGso21xhr4X0ZbKg6Pw5nm6Jm27g4TnxLsOJv/DqVHCPoJdQNqJhSxxEUWdp/U3J2RYLxLqrYhTEu+zKCs53qSvJYQYK3tDqD5akdTn6vPRZ6X84G2YoUYYCiNJzmZS6aYoMXiMZwdDXRnPV3DXwPTbpZBxLzxWSFl1OGM+b5EAE0/XroJFCCMHs9MhoF6a5lBhir5lAijgqJDbUymKYGDBDaOi/zKxYqp5ly5r9zAG6iL6Etx8xxOZx9TmKiMC2iASdH5Q34JuHcqyzQ9LBi9GDK9DoztL7S2KlpaXDq7gW10MHlFqkwhJ8zlEuXbr6wSPogN1DtTD0Q2FwlRiXdYO8CwqbZTNHocAItoCv5ilgz46GZGsDADt08w13liDcYZKemQLm5RCnE/P5ho+o7mhGOjy4g3GB0LiXmYwcPgxH4lUQ+RK/+EsnDPMYt9Oety/g7guBUWPiXmGAnupD6sBTwQD/AMiP9stD2o9hFPMXErEIXiUnJLUqcS1p5gI5iQqYdStHKwDMLX/KcrkliiIKOanBAT2Ze3cxbxMrc0JQ06hqc7Xw3ddH0notWOQhp3c4mErgfArI6X1WVdujQdFixZ956S4daj02gxGF7YbyYqPtLOwejqPNB9NegijmnARfGIp+FqXllGDgl2cRely3aYAxVbijB4O1djGb7WaZjiHLCyzazCAzNWNK7T9abUseBPYmDHT7ScdNvXR9Baj2R6rFdcaPEuVzHN9NvgBkOti45+VvRWUeem0OCOlHU0ZkPSD8h0J6lj6bY/P+KHSd/RrOiaZ+kT+3SfznEbejpNZozR0ddD059N3XV89Pi/AnPwToehuM0jvo4+T8iOZodJh0T+b0Js9/T//aAAwDAQACAAMAAAAQTbKeiWC6WWqeqWRKtKUPqWQcbYrywCa+GqAKieHSgi6++yCCey51c+C+Wq+Cqaq0wbqZj4bfddjBtZKSPttiIKoO7O0uGqiOO6iCAjJMO6eq+C6OyqYvxN59v750/wArVH5nJ0FnEgEm7qErvvqgjnvgNK/0DululrriLKnNrW2O2jOMOfXnjsL75hNqlkyvNjLjvussjlkIPz2LnonhmBJBrHqP6Bj2d5DLhrjmvTZhMAWJigrjEshjvvstnAHAR5DnurDhInpLsG4Mxb2HDEUbisJVaOEMJpirjrmshjjjvnykKmD2+MEIuBqoiEjUAKiUkZjAwYrj9kt/16HrEirnpsshjhjtnPFKrD0LCeDuomKFC00l9b+RipBbLswh2z02gqtnmAMssshssgcwoKqjCEe3OBAABEjbAZAAPR+seUWhoBKwkbXnPthMmsspvssiawqAPFKPPpGJCFPym2FUjML/ABAc+oduRNXREkeZi7qrLqbIoYpB4L7AwF0fxRBA49Ck2J95p0GC6GiAToEIFiAXK7t4LrLIbK57I5SksTY9tswLL7Bv+sStT8dS/wCpLQv3DTDPd9d/n32XSyu62KKyP36rfR6VPs8wELWnHLmwwPk0gEw54xHLn0gZo0UBqnXX/imayyoswFSD21jAUpq2jQD7PaQYoHZhkBBN+bLH3ko7kDrDJF/2l1K6FhRrUGEB6MzsCzmg3Vb0asAhUNcBChyyia68hx8M3npMcpVRloUAjDLjB3NoPHsr/TMgEM6MZMlw209gvGqyCS1q2KgfN8UdE1dlAQ4LAlP0Hf7PbOVXMQArovY8E705yA2iWmGCeqOWm4sYIFwhNlMM0lcbiobCjfADItJYonDScn/cEfv0uuiGq2O2GKmsYAYswMNpkYU48XIG4/QYcQdaSsu7w4rhhU04bdNvcuaOe2qeAEx8AAkcwdkhx7FKTqQ1EwbHwUkY+44UEgdoJ0Eut9EqfhqgiWss3zc4MwYYn/H7h/8AMGyoIH7M+fYAKO420a43s91H7YbZcHYzjQCL/wDteevl398PdMKtqeZ9cvecyjyKe/sNteGfYhruNT68PWtmcexjOkTP/uj9Qv8A3TD4GWIUzDf8IggsKvLrP4rUAQY+2z9+RQ3M8mMEoWbIM64sY2AWapvGqy7vzD8skoo7Dv8A7P7DFFIsuukjz5GV80jnWQJO2DWavyxBABwjKFxAK0EJJKKCM+wyHOLdfhlDvvBKHANfPlkvhr/4DKBMEJ31FkioiyG8yAODJALII5KNw02shmFMAMDAHD94jovNgpIDgmqsZN8yMRekH04AGCJHFGPw1E2kDJO5/MALAAFwN/KgnGgLpmRR8R5c20af9U215IGGCNPK/FC9NKRJH0lJwFFOm51GbhsPCIAIvQoXPHP343wgfHPHIIIHAP4PPvAH/wACOCH2MJyKIB0ADzxxz//EACERAAMAAgMBAQEBAQEAAAAAAAABERAgITAxQUBRUGHB/9oACAEDAQE/EBfhWF6IXEI/8mEFj7hRFWDd0SK/g/8ACYsvTjE4w8Ig3Cz4/wAFavKIeapeA39CF5/hPR4ZNHmfA0PGicY/3rDzcLZI1Tgh/hX415snNvqL8Lqn4WupIhMUQ1+G+OiD6G+HUh6SDx8EPllOGxqDfAn+jV5hIiwnZRu7onyVbTKxcMWIJavEG4qGzEhKkJBVMwbJXp8D1TpxvSjFhqkGenmjZCYSfSCfUehNGNrENn6Jn2msQjwuBIrJCDWb0XCYxD1TlY+84NpcIfailGxCTQ2UpcPsSJMvVoU8GQ3R+j6+MMrExo/sLEqfwf8Aok8CHng4HikEtUG8XYjksPMPuglH6US4o1+CZuvD0hMTLwsQ+HuLtDgaIa+2PCDQnCjY1KP+EyhYufMvVeC8J0Nt+/i+jQ9lilHrNEIXmH+lnwocDEQhMUZNmVFwsX9TIKELC1mLqhk1hZjV+DR+dlx9/MnuWj9GvwvA2W1L2Na0XP4kLhlu0GjK/g01mnGIclKXWjghOeNEufxptCwVsSYloxAyEGsUpwQn0pGP09IL+CtGqefhW8RIyly2MQTCINCWHmqybgf606EEorG4N1izEQjxRMpSlE8knR+jRUSMkJY4ed3PFIKum4T43QmqwyxYYvAcMQwrDyut6F1Uoux6PHLk8G4ZRDp9hj82sKi9Pgn0TCU+DF4LwYlwc4jITtIWG4LS6sSr7RDyf0WGLwfcQsl0s9Yetv/EAB4RAAMAAgMBAQEAAAAAAAAAAAABERAgITAxQUBh/9oACAECAQE/EB9qyxnA/B4VDZUXZYWV3vsWKUePh/WYTaoWEfMLuTPe1iHla0vOFhuSUT4wh+YX7Hhj0QynpNPQr8EsIZZyL8LXWxDHrcJTCylEmeYQxqqC8/ChrrWr6YOXC1kysfPwofa/eqY+iIcvLz8/WsPJPRoTyuhbPovT96mLN1ZoVENF6Nfgqw2clLmC6PQlOibXLJSYQ809eiViSsYkkNjZjYbS9L92ahXLCD1hBZThRHh7okUTuGxZX3CKCQiL2IXFKij5G0iRphcLmawWIQagh7HFhCV9F3Qggx8iTJCC1gtqW5WrRGjkh8F115iGhMYTuFBi9zzhYgnzBvYsrVj4Zcruo0F5iiZMLSlxcMWHi6Lb7CVFGJs9aiooh06QmEki4m/uUJ4Yj6PC3Smk7kxMWPcfcMuILKxedIMeF52PtQ0XCYylLiYuypCc4Z6QX6ViDw9b03WjRCb6JWJ/mWXj5+bBNoTEEiR7TtT4z8F4JdU3WKE3TZBVmazoSeLo3x+BZiY8cQ2V6ITYTLmEOSnJCi8PCj0Qne93Q2RCZQhRcPCY2XWDwlJMWZ+hoPMSEppSlxMTCEJhejah4Erg+Q++CZ8VU9n8CRGTrfpN7uiVw8wcEVyxZEhOq9yyo+uDXbMQuD0VN0yfTwxkX2IXu0pGTdY9H7vS4ee4TGP0TG2HMUv4S1mjEM8dpYfReoY/wn2GLJ42/8QAKRABAAICAgEDBAMBAQEBAAAAAQARITFBUWEQcYEgkaGxwdHw4TDxQP/aAAgBAQABPxByu3lB0Qt3R6MI3bB4gAgiWJz/AOr9NRVVujxFbXkXff0VEGiy/n0Wss1iZPAb/hK1cGz4hs9fxIK89P4g2boNRKggAun7lyz1Zo94r4JYog0Se03lCGvDMzAA/aHf4RBAW8B4/wCREvFVXcz+wnf2lzYuoGNlR4uWIxcaTJFWOI8SxK7EYjqk+UDIN1pDytuicus1JhDUJqjmlO3j+UIqFgZXEoVLX4n+HymqVGMdv/q5/tdEF+E/SftmifiJYnf7oKt2/wBTVNf/AFU4TWH0rn/7WTpaOHklgCw5I0/cKizjfMM+9Hk6l/W/S/TU7cn3YjUEOb0+hFCNIybX+PQmqIsft+7CGiE+rf6gUAaJz6/jSgPYZfnj9xHwagYnkthhyfiFwUhlOBfMJpBS8MdzCMFn9MJPAQHFQKi6WjqZ8UIxy3XWkuORoN3Yv8QI03YVdMWVKtqwCHImL6mmZ7zVJBg8XBNQMMpUFBHAOvL4hsqu1bXLFBa0S5WB2zKmXlfT/D5TR6sdv/q5+T/CG/bL9k0T7D+SK37/AGQe+/QTXPx/6nCaQ+j8iE1f/bBO7XTDBpbmtA+0qZTL9mz3P7h+ow3/ADBLgYen62P/AI0FsrYpojXMGdafQsB0d82YI5lm8t/ol5kv+ZqbsGPdoegfw4DP1gzDr4eWUVUVA5hIbTBMxDW5StQ1xEVqhWe2X5hw9yhIoz3BVIry8MSxm0UsIqAJS2f0/wBc2FZfLj7wgolqUgoFi9QbqjfaG4NGRVMaXlOd+5DlUmNWuA2spmN9DB4PE6j5Yy9xeaqY8BUiivmFgFeyoQ3+TWxMeC8SZZo9GMf+DmP8v7gzdL+J+6azc8EubtfuUdz9ZAtBu9QozgE4TSEPXQ8P/Kv6QoA0P5htguJyd/EwnZd+Vd4iyQut2+X2fxUu22L29w2YFic//gqK2zWNfMNDUGAPH0AVoKzGqo+Y7oHS/Z93mY9tYO1lTM3TtblL6B9E43Kza1UMYZNqxuodjCFtOImYF8QxxLgJpNZc8TbrYh3KMjI+6Vup/sOI4zCdQfmLRRLSg85mGqN0Fv3l86PK4qEeAIQNi8sGha8WR/DeBj0qt5tYxDkJtckKmxR2dRh0PVo9E1LWsD5glmuGTPN/f7RRbWtsTLhL4CpzuWOZpmYOn0Zox5f9XP3v3N/pfsm5NY83VfqK7e2YWNCq/BDg2nL3jkQ6msP/AMZDj7YOZdsyJLBchOXJ7QDrFseOSEAQOK/B6nAbm48f/gQBNgwXMSEMjz6gFUAyrFqppGFdfDr7w0QvEVvK1KB1TOzqn2x6W0eQ8G4eIfnDKlNseQYC4h6ku1MWa+m2AwDgdxTEspSuYRM7raKjBlDPl7SwK2cMQK8tl6IhGLUFr4gEi0dB5rcG0J0983UJAFx2sPcIHqjQX7sHV3reI9ciWXmAFAsrB4NTJOhQfE3ghss8CyniXiXHUfFF06JRgxKgZ8QiFIuKkRY4E+41/Pozd7TN/P8AccDn6/lOHpOvEv6jh0fa/kmK7P7g5I9TWH0fvmn1v/zIKxKZa45AeSGtYV7eYOKmDxxJ5mypx0TyeGAYdE0PTDwAMLx/uX9L/wCLBJAdFxgADFLp9vRiWUXFz6/zKEK6YrAHMFp6JSzJ97R9p5oZdLaH8+jXRL4IHcor7f8AYUZSr9H8Q2TdDFxMkFE0jpOv3Q2gTyQiC0TQrwfEucSKDj+InvAvchlYVVasivKUAqS0aW4KKsDuAlFNOCBQCuyoeNlKuAlQsAAMsswqOt9uhxiKM1TJwWZr6MB19gZkZJlA8y7Pn7kADWImgCJnnuBoxQz8Jiv3EeM3/H9zh6BTqfwjjA+0nMv8XBnjNYfQsjz/ABNf/swBMqvMjFWCxlSKMv8AFM1tiP8AKpfX2dT+4KZlYkqTwnweD0y7/wDWhmqLuMoaBLMeZZdWXLiYd/cUAWvuL2ygi6nZjtv4lHFiV9cHzKoqOp7coPQmImwYKwoMCGYbD75/uHHoDOZuxZm8w6jfkmllflG2tVfbL+5Y6WJbwc+Yjes1W37QuAWwSGgbcI1rupHpV25nbLjJlGAPO2JGL1EwTfhJi0d11KMoLdfiUKQ8zLv2+gBOsz4YD11qyH2ikUsKR1ZjCw4IW2kKEVUIJGihj+wxWvl9E5/D9zjMYo8T9fQNB5/zmX+zPo6HpPW48XuzT9F/+esQVDNmx5hl3jDBx/uLByw2x69yKKfgdxEBuri9PiCO5O5B1J5HXhOP/TBN1jfUrdrKKxbGMqgTy4CVbrW/wHg9FaADjhjpTfi4OD7ejHD1V+P+err3kS90nwf99Bbm7FUt6SbdDGIygOTn+IIBhyfcf9lO+sB7EXl0tZnpJWmv+EO4DhaPvEAQ4L+WC2U5yuFLSyqE9jgISUpaYBM7FusPibQZU7IGwO1zM9h+1/QFIyrezOrX5TLYmRBs+t5j8NIG53SvGfRipfKcveKjN14/lOM8OEq/ya9IUXk/lP8AI7jjQmsPo+y/cTR9QmifVf0URcsHX+/UQAbHJGNapm5nk8zTsfO+Tz2cwEszSOTgeSGTBR/z/iDBtI3dd3mCrC5WPJcn/m6YuCy0rfmGHbTwdvL+PXGXnVYeBK5hVYr0Z8Jr7/8AfX3bEQ7T976WzOfrbZjxUUVCpN1dXKaoDPFP4Io6JglrDMdhMZ1V0sVy4A5KisBqOgUvtiwwSquCwKKtEm9wDiKhUKGD5hCtTVFS22s0Lw+8FEL8KmlsV9FN7we8DVbtUEECMDJi2hp/mJijDAJbUwe6o+ipfP8AUW5ogzef5TjPwY7UViUFdP2z/Y79DjNYfQUlYIv4TV9N/wDjXJfIlzieReefs4jEjoEvRs+yVtbFfePJGVgXXL/A/uK0eAxfmuGW7cZXTeHiJEKUz4ejBEs/8UQw+69HmAuFuj3p8iteosW/7UxLL/aPEpiqvGvXHrTFYez0tDsYWsCfiZuc5qznOUXcWfaC4mV8W/bKe4vsTLS/7EpcSgVigrTSSn5h1xKaxzlTVP8AyIiVzymE0HMQgmcW8XELag6alylVQNd3cvjgubauYTR4ZP7gNSTTn6cipYnLv2lroMGJhnDq5kFcsxCC13XcdwqreP7IsdJ/ioJaF6s3DzUqtDBvE24cYgsSyoo5d7OLYGhCxSqamK6hn/sz6XH0n0aY0/8AZdYJYMJEChLw2PoExlgOv9+pYgjY+gAiWOxgO8DabP8AqDCFktezx44jmCOb1UqN1tPxByw9Jn7y1Tz02P7HiExcxyuk4frWJgwBtdHmDRh7R/mB3bZVBWvRzkdBtZdhgwdeoEKpTEpqV49bIcDPGq/j0vzhH5gKOpunKas5zSUuPMzP0+5f+Sr/ALOojHIxzXFynIqRE56baWHi5gEdOaKKNh4yYK+8IBllFVJ7TQgSTSXGxdYoi4IXaazWfmNqhFTxMNq9tRwNyp1bTAzphA2oFAel+lxOiFxD3FNA8cumAVaBABiNqnEVP3Hfh8Q8QGR35Jn7j9RA7pVY0jpY2b7MLyj6F1TXARUiRgLwlnI5lWZUBgSOGHLM/ZelqTSEPV/gQ0fTf/j7Se0Sfj0HiCM7Ar34ejAIixwjEblNhv8A5iirTKHEpR08lyf19owujj/ZI9E2DjyJc+2IfAOfeVvTU+Rc/SDEVqxa9N/Ht8vx6rvZHLB4+Xx7fPpZBZVX2lTjVj17rukyvYV8Pp55D/RHgljSNbzEWiJ4YhtZdZlUEL4iOgq8ES2rYbzFaKsrzUcz/rUqGyUusREGVpWLJWQ4FYsc494i3ZbbYJ3IvENfqXWMWQKcUQM9YBpazf2gL9CfsagmItWi8wc8rXnj5dRoCgXhqHUSWum916XLlwmpQuA8S9sREjaubhYl5IrYGEzVRDWvAcrCUDK+0OKRpGW5GVpfmO6BArm7j0E4ASzHtiJren6jk8UGzMVwrR7lOSXr4mB2wQ97iD1mu/smXsfQ1JpD6HfgCDiX/wCtrfcFd8PUojoDqCARsfVBKSxiIjmHHklThWHB10xzCng+w9kvBKxI2hRKHDyRyHieR7HiGDScDF5OHmBlHSPo5YC1eI4AS05d/HR67BrRtYS8xdeb59SDYq95gbBirv1NpyVMp2uPeA/wRWMXBRwSqNtgcx4UhWWct08PvF4lC5ZYIPJw8x0GFm/MK94WiYqUHgKo7JmqHYUMQlXPBUNoGw8EJdWRVG3swV75J7IWERM3VH7xG/8AqFcPMTXAKnPnG4m2XuLdS/zabTxqKNcAgamAwQZPf9npcqrWouvL0S/LtD9txsrNuYLgsqxnx2S0giYgQgBlYFj+MdxLhpAon4EaxSKKo9xib8W4lNJAg53DKBvgIqSgLQMSjVC93mq/EA4dLUMaE0h6XLDcsUoFgd3VQbJf/hcv1uD7k8DIxWHs9C0pI5sLHn0PoxKNy4nyTFbFFNGn27m9hkMj2Ma0YVOr5hsSixOY5hMXz+1O/MvR8pHk7IlE4wf4BzAAAAOD0rraQ7WMXmjXs8/SAFGvVgir9/8AeYYK4LY+YXKBq7OYsPDDSVZZIFulc5jEyVvDqU/vjUFeUVmOO49ZvkgUTfdRTOxzeMS9g0Fn2irwBa8+gAV7z9QPbsubDxKpyjZXHLBmrbXAhJVSFmzMLSRlWX8QvYNEIqXtDk8/zFg0Rxnnv4iI2Wq2sFkCz0XohD6zPBG8Vhz4PEEtvooGWPWWfdKCWA5P3TZcYsH4lAhaMe5HjMfHIOwg0Huy+zQP6ma4aJp9FRZctXHUHBreJbb1v/zzEiIqecW/HqUxg+UggEcP03dZFNPb4jq0NDydjKmfvPOfMyKbjn2QLC9uGXG0OUapqs34jV9gI7OV+bv0tUGgceWXXP3DwP8AxO32DJmVKDGNYNX9pjGWLo7jdImQVp+I+RlWZlZj0q3mnOYCqqgMIlSx8TKtt4wynb9hlMROqimBe7DMJkF1USDZttOfsZlxg3veQ2Rd5FX3I7JCQG+8QYcDdWX5lbAWmqjOZUfCTyCtTx8MCE2v9ShOQYqby/UOTwjHEcXHly/x6NSVFHuGaIU11DL0KqO4Lal9R8xkhko+8RYBSub9Hj7H7LDdSwIXhxApsHcBHnVOr/MeYoQlRMVA0baYwF4NFOq/iKyH1v1G2uNX6EMQLYrivUOUEc39R5OPpIGwROyAIlw+1WfyY94BFyC8iGZfCTOhf+6jNj4ZWO7zT5mHoAWHJry/qZctYcMz6TZVftH9nzk/+CcgbWMmNMIJi0r7Hx1MFQC6uCiAUBwQQ4CrLlA3BLYVyij+2IaDMVhxupZHJ/EChrf7zHoPvL6x94h3y8DUxuLb5uBWFhDNWUkfUolU1R+YdgkUz7ofRACMZhWVoDMpSUSNgKLQ97lg4Fsl4viLmNCE4WAQeSorv2Be5j+J+T/UGbxi0WyrcjJ7XiXgA81NrihyysSrC4GYGIoobGz0QYSvikIjU0hgouOVXcHZLxCwUjk6jCOV2QxqPBF6M9h31GWrKs3Z3MriyHRjdHLEFHrf/mCNKICdnS5mxGBV7+hC+NeZABLEsfpEOsgXAv4KPyyyJSZkVCd4Zs/pnWJVX9xCsYFFkHyPDF0xEcFrPtmEEtEmxumHGnyrfaABF7GCgFOMZZCNI2fQqQA2rF7uIrVwEs5Dhr+IdCegiMk6xMbidtYYnA/ibtV9vJEZMouxCi6yUbhroWm/tM4gu2jjEu0Gr4GrjhR92NoM9cmJnS5WiNbKvIYQAzKWb/8As5wCA/qOWqu0jLwbGPtFFozZtjK8Qpi7AZVvEvZAsD5lxI2lSw4c4uOtRCNWB7ypOhcx/wDoDf8AM/N/qbPw/U4g0m3ARtILP3iPQjw8ezOlLXZ6ZxEZTgmBY22PsRHce5UxDQjGXqKI4ILtEONRQDkqAUDbbcILS98TMArL35lIUDz7TSPCKLyBtZm8FDu86jRKttR0xNTAywLiE3bW2H139bQBy1qaZPKtzccs6sj6NDSR3/OB9DMbUWeV5+IlWFwLdfyCn0V+WDUdPtZnAXhgEuJaXmMBu+M2y/piDuD0A6S4Y2jyPxLD+yp/pgmnJyX/AFDWN/xxAtWHKj9xG/Mlv9SkTffPogXyDMCQG5wVdB/MGAHVXrMtAUPnpqOgvrAYl05iuZaLCylnsmsAwdEBRI1eGeArvXiVTc8vUUMiAZR0jNuEfdMPewcGo7fkuLtd3FU3dmAR0y1HDmpWLFwg1/8AIMorkeEZQbC+eL8Qx9C68MoxSslSrhfnP8z9U8dAf0/oipp/weoRroTaFspg2nkFUWlvhr4hYLu1qMFw5AqoK4ZncWiUC29QVtuxWStnXQi9F8kum5ChbpVMvLAQ/g1KB+YbibyfIy7zczFNTmhNz8xeI5FZWxEMwETFc5ej9v8AEEQl3Yo+LgKaUJsIqYAC+csAYhL9L+k9b9UBOee4Vjp/c2Jkb8YfpA/Lh2RmbBfqa4ap6i6gcv7vuwAsL8ofNz4iQWT2H083F+GEIb9Uvg59SLrfvFJffCP6lUj5cn3nlRA39D6Wgh6NxWk1dD5YBOkh4PBKKYFhYpTsDsJUY5C/hEXV31Crp9pUHEA5OIObOIFDGZuO9TTMjZweW42BM54l8RQr4JSbraNsK199QSlc9xzo3VzAN3BBMayTMNA2t69iAopqGr48zE1uHi/axU2GRtgXjxmfqnhI/E/9qYvKhAvC6irh8HGqlJhdW1FO4sXMvE4Jde6XuIJwiBUtwGYY3m63LRK+zcb5YDPmHm0GuoA5HuCYWZ5n3gFF8RlKi4SdTipQ5RGqLi4Yd2/RjU+Zd/EwtAojYzK9EI+i/ov/AMMXoNVjM0WTYVuificK+kERY4YjnPfv9FjmiwDz1GGYajgCGG6R3rZ8lxcK0EF3kPs/iXD5BH4mQcfiagGr5cvbMuoiZRs9v6nGu3MX3nuKDX5IYFLwP2IbHIi48P3yfgIz+pUrPlf/AKg/YAHz3OEAKHeJa0Z5ZPj5lmqWKXiU+mzVVLNAqHWY7RFQnEwP5mR7JmDxKF6iU7LoQWY72FnuxJC9tsLSVYzGelGArNygmvEK5hr8GOrlsFuq/NwYQnsHLPvHE1ywA7letrss/wCQ8TKCzohIiVbYFRAt1lgBLGj+UWXZFsDXtMtq8y8Ri7i8fdL+8MyglIT0HMaFdByw0Qz42OYolszJxCucoIDwA4inMNupVi5RaigLip1huXMAAasqJJC3yzl/EQLrxiE7ltiHkeVioAwKbHTLEaC6EEBY4p3HFAi2vS/p4+q5foutoiEAtgYtisPefpY+vyEPQaDpnB5zrkUYBTL3zLHh1IFV1KP6q5ENEYpH5H2R8S/XQggwKWqBlG0q8tzYKhackuKr+OYfci4zUHJ8P9wkqFywzF++Fylsv9sAFAB4jPBn8I8bspWVShFtuSAmLxORaUciaoYBjwy17sfylsxu4sO1faAirDNcpZgo5eagTB88E3o9mULP4AQravxOzUuBoSrXUEABZLdkdWCMl0c15gAoCrtC8fLn7wDBcsgGx2qsP+ZfhJ1VQ+5aUrCZs6d1M+B6CMtSxbKtBIIeDXUp7yyA2Ri4oxbhCMKwUQsRO0NQgkbj3mU9cqSq3sgvfYS3wXPxibZHeEUzt1gxAoh6o+0Lqj5iG1zNcJLoaqzxDGxTP5lyKtwahACFBiZXxcPOf+sR3cVhOqloKhbN7gD9F/Rcv67i7F6ZJmvIjoGeMV/HooFoDtlpjSxx6MY7thbG8w/4jxFgzwoIYtI9QGfFr0Bv8rPmV1y1Gm+5V+v2ejYv8WRfQshEwjmKOb2yv6gI8OWT7wUtN71DrE8NxlNGQZXghN+aheclJdvdwfGxCwqAwXL4/wCZZLDeo/u4NFoOCONrVizMFTVEZeQIGTLdKhPEBVu86j1zkrN1E9wLzGkLnStEFpDYXNxKSFIvn34gqlHQ4mUtQtgC9w4cG01T/wCy2oVUuJgnLjiabOxTcFJThxLymG7+YkGm2awQkBASAa7rhLFpm2n2iMCJsZbxM75mkU1sYjKHIMWFeCLvE4eG4mTpFvUC3M6CB0o401z+JV7GcquVJHHEHYtOBUAWUMtS4AM5SBlUa3e4vBYEExVr5Zx/PoeIgf2/s9AlfD8Ia+q5f0XL9bjo6CxYsi3NIOUQH7sV17T/AIIsuKYHdPzKEdr2jD46SzFdk3A/MQJdYjSrzMf8gojfL4YX+YQpbSs3FEmFbAS8mH7y/irUdDs+G5QvfMHK8QoFbnaYfXCLGVRWLwEK9VBZw+Iby00JX21ERC1dF+ZcR3G/9jZG5A/zLaC8p2LwML1dd3LYA/aLHsVlTeV0dl9S4DZRfMUULSna+40Wg6gxV2dlRPDNBWGxx/EczK8yrQ/EvlMy/iJCRKD+Ygw1zalgbnHSp/EKDF4rB3gFYVfeU+Rop/Ob1SxvB4EKBLcEcMssTj2iYyTNCoXw6ujEz7lNlSBUcDtxAaHca62typUqZldxiSoqfESFhT8xilnQtP6jTq6YMYjDae5brqvIYl5xzTyxUPhG6tnRA6EPgl9DeYto0n2F/wAwDYgWxT73uOYNEzOie14/FQfW5cuXL/8AC5f4TAWGqhXvEkqzuKz4RMmn/MaIXXQNJWoBpwr3M2McsR95c3jnNH7w11cWigeIuHjM7T/5FREwh1cUAIb1qzWr3mMVmGOOcYX/AJK+2dg1n4m1n1UIgawpbG2/4l34eWSpxDBh/KQeifCG1BIG2j3RIZVDgYl0C6GZj/CykTsVsBmVFbo6MAlL6KhXQfMqwOoivAWeZT6e0tbHxCFEzbeWZ8sSMEUBscDSReg4I7mJcvUyzQFLonIDFJUcPiZqt1tism4dsK8AouVg0lqsLfxkfpjRoomK/YhYaMNocYqYTDmgD8JEFe9/mWxoZUJaTglxwqR3GzyRxlo3fLFtq9xJkiaYeYgb9mcZiuy8x9WVn0fW9eYaAac33jZHReI7h0ZgxC+bg44dVFpdx3uIN7wbxB9LtcHwEE+T9EwvX4zR8v6hG6A95xB0oARely5frf8A4ggdYsqzJOx7RA2/yzZZ+ZVlz8DGm/tIjv8ABBfwMNLutz94AoCyK4ZQo9qWI8/Exlobe4G25URrz1LePQplidfesomsdIIgMelpgfaAYRBMydMAWtBKKSutskWaZo0DhYuCGWwxLU5MVzMn5tlRIITJKiiNVUONFqWtRdgLUCxVEw0C8kMYFVbX1LNTWl9//IgtjW6dw0g3oNEWYG4TSFUwJQBe37h32jDy3UNjlujvEBWIVGHOouTGwXClh3dFHw4qNxDBDFW5ZvV+ZSWAxA4x2RiNqXF6aK8NQTwW6JV0vED1K0w+GAhncKrNRmpfovo+tHy47HWc6eItGeki+m94FsM8RfkP6QALgaJpQbR0QUHiDEQrqi1XqkKApbp4OD7fucx327/YX0GXiXLly5cuHosGX9GQc2fr0ScRfxLzS8qE28A8J365ZCuz7oGhvwzHa7sT8zNpsVvBEZMN4u14hk0OLzKdt+UQpUg0O4bBm8wpAXyw5CXHR3EDstSm3KAxDEp4DvMExWmtRYZRcDC8coLCDW0Q3tiqEGl2DyPmBASOuYBTWvxLqFwRRFE3LcQeF3hIiSzGe6jEt3iSBguhqOQCs2L7g/8AyIzyxXMyKHRVwwIrm4kwt+I4ed8JQimjUCmV3bdwqG28QFatPNymLw7fM1FXQZVsjAraswhoGGo7KH27WxzvvkplqUEjL8S1CgDJ2vGI6llrFl7+Z5h68+pAO0IQGlysNZAuD8l7D9s3mKdYjkLhDE+5VN06g2TLUvrx/m7SpnHIA92Au2Nq74/mDUIv3Z1z24I6pVcBxAsuXLiRgPed79oDTlaM5gEwy5cuXL9Fgtp2v7h+9sw/QxKPwxAaXHtEcJ5mWeasESgupGlNHxFl1v8AkRwhNuYe8azm8zK0Sv3ZKnwgpdxdSuUHYCPa91TFOm/eXOm7hEdC/wBQUshV0D3axHZN4jn2rggxcrwmPMRQ8cu6r+4xordsYXsCm2f8VjDZS2BjgvuDu4InUXuW4EcqC0McHXiWq9sgr4GNaObiBnmLfgKIKQ3mYe0zEekGFEFXMUHhTYDENvVFWldWm2HBCEQi2diyyfA5hidDW9RV27e4Sw1/EfYFVsJ/1y00dU037QXvFi6j4infUyQKYlNYdQpXk3xLOGsy9QkNFDXXcLD8dCY2n3RUg1oND58TVCyvh4ZuV6ZYp9JakUkFOHqHsw/qNNvgQ6Bh4g+FE6hvlHJOImvcZBEMgxEHT9q/m1iikuj5Q0gLPFt/8lmRYChuWBRqZRIzBGAvgLqPEeMYI3KauJFVHdGdyhgvthufRIv6HS9gofvyrJKHEc1H4ZjrD4layjRCkBI2pGBCvGS42NGtHeYpvBeepSQH2fiFAA4I8TPrRh/Rid1QCN+14i3BNqqr4iXVoJSz3i4Uzw+yKA9s9MRJjFoKOYIOAN0FE4oA/H/qy6KVfU9p7BF9/cim0/MUBEEZc214P2lpU1SD+o2gQf8ADEQPYKgjU2Ki8xqrAYm+YWK3VtYR1IXuYUoXq1EkzaBfdWYFu7ig+0ZazgGB4i+FLPeQ+zZHDl58QlRvqIZIDSS7VoHT7TLs8v5QbXEu8ZxDkZgn7ZhCUBcGynGJlQvm1mflS1bFBCIFAtp+pmCQKDbLOSV7IWt6gJwl7YefwfRuJ6X6sG/tFSphqXomvv4YQNSwaZixWMA6mYBFeUMicCXbGge7iHsQX7aY7PTL3wexj+Ic3f8ACL0cMUTQPuQBQA8ERalAK3UNEjOD0DBly5c/coqWXTYLuYcXKA4+ZeDgmIbG+oxTK7gZDFgzfTDinbWwHtEZImIcwY21M3LUyECgyoO2dH5lVanWuOZT8R4F1DE4Qs27lwilVrj2hIElrQ9NdwoeZ1V/cr3ope4YbdZ27ft+4pqx8U4+8tE4X/gqXZlOIxkk4yez8xOaD5tqANQAWJDYjMveFU0TwL2hL7Zrstl4NFaipJq7rjzCTcAtwNqpZKu8n3v7xIVhGTqAQLXKkqVc+CWLGxjlDkXsevMChxIaInAtBVaJojTyhHWqPLnNdS9QMx95W4tZgFjOKiJQb37QV8O3rnMEBQjpJRCzRp7XwRSXNl4r7RKa9b9AVgWOqUOWIozMZJgjeWritx1choMTTh5hFFDVV7OYJBSXEZS+0G5Ik2CHjau5RXEQTFN31KTQYjuv+xzSBTHE7H3BqCzoLEO9r7uWZfJ+o+oly4vhP6mI+MYeg+lwZct5feIUcsMA3ZUl5JgHulY/GlbZchBvLcOTlmexHCjsdTRAGZgpzEMDRUPEy4GeA7lll66Zf/2ACtGy3Tx+ZahZVGk1EA3GtFgzkaogzfmGqKK3H7QglpfgeoteLohO1PwfeAvLC33y/wB4gNkq/wBv+/qKpbtv6lDVbMaUXuEg9MOYE0jIMfPMZhwre8OveJVhAMwRm8cy44E55I241htFsK3F41KlXSXxCSYLCGsLWMy/zVJy3z4xzHaxR3zUerZx53+UskUk6vNRRC3LNzJFlx1MoNRM49oCi1YfGf4l+FdeT+oeqDKsK/1EPSoNcx4lWDUER0kBRsXVwskrBPEbC5L4xCSlwJRBfJhcXUXf/wBGXN69asMNvUHqNFyx2DV9O2Nn2oPzMjC6lj3lMG1mB0FvkjlcgKtMiBMefYS0B2WXt03GsHpF4A3ZAAZN4GJkrsXssH93HSbD48/i40I6Jlb/AFX0D0Nx34CYF4IwjCD6EJvPsppfiGcsfH/Y7+Rjqg+YAvV9pYqmjPMsUMALuDgDRVl9oYS/siUqdhWHBcxmv8/YlgO0qKaU1Ueo2zV5ZYTjjY+/EboWxZfvFCENAG2I2JUCIzlCCJQxXcYVp0XxFIQepkpIIFB6WFWRD53AZCAM4eBh9q3Zdpl6XsvT8QOCHJjuETVqqmK95eYKby/RMoQ4KOYLo3UGzctdBolK+COqDxsDzFQJtu0qJHkzCBgqEUssqxh/mINTdWODI/NIh1VLGJQ4YRvlIQrJo5YRTUS8Ioulwy18hncXzzDkS9r8TL4sCJ4m95j2vP8AM4IsbQWzB43LntL7QVUOXqCyqINbDMWwoXU7AfiWe2RUK03mA2xpHiMV1Bs8MAXYCIDL2YSX45gT5lRrBCHIaJlbuEVVlynDDaFSdl2n2Iq9lnL6jD0I/wDHuYD2nMH0PpF+wM/ACCfwrP1DVHlP7MNHsIi+R7RbcrssZxykAQGa7q3cUJAuL0w18DNCPgh1JW1NEtQbCbkU7XqC/dYFqO6gbMHsdxjAOaYa6jNoqgVikuBrC8vjidrFsMT4f4IosTlzDu19LALcDnxFMCNefS1FWOC4Qo1lqCt01TL96jMwHKpcLWOxZl4uNsmbT33GMfYLrFWgVLD27gIdhef3VxGmqtcy15Rs5ZdkNuJkJRBpi5Mmc7IvHJfbmJLsf6OyvmI0UiEleXBjCxTInMQiytX1MA+3ay2dyg9GPB3HGtnSweo7KRfgmJ7MVj2ir3pSMHILUFP0GEkWChsPk3GxUihTWePVnTcMYLbZ554l2w4fzKn5YJibIUriM9hDRjp9kd43UEFX3SnFSgSx88Q7/mHh+Ir7PxG6SSvFHRtmcoZQ5jRBqr1/1MrRc4jD1+6P79OYRi9Ll+g49LlwEogGrjqKMaYWS/AE2NXzF4CAdQVfivMRurRKMhbDjxHb9wqTY7rEwBDPBjwGcp3/AGxJ24rleGXgKLh1aK10Er36J76P94iwii3cpLGaAauGWLaIrvQtvSvaEnMjTTXiU8uhWr8kRLrVbQd/aCAJqoyrzGd2AeCUxBEGciTYf2ZcOQm9ymnRL8yEdgDDdxcIRzvAiCmCzCehhlguYRZ+9M/kQEGvZ17PvEAZndAx0Cy3hLqlCoLV17TPezjlcn/J9lMue2AeZbgB1WDaQEIblxMrcTARgBsyXKB1dqf3CjNqspSy57mXeY+iotVPmOXQIFUbmZRVeEqiqj5mZXbFoMRuI8VA8G4vmZxAsnTiFtPaAMQYv/pKjc7g/wA5gbJ9hDazssikKZ5kG3uXDUYa9Ln3o9OYRhLlwlyrtdFetRDQX3BslNrdVvHoWrNOoDNSvj/uSBQlrkZ4FfMp08jogyQOnB3LgCOkixCYenfJGFEDGBfeWShXkuSM4bVSguEv40TI8sT8z0UiLqkdMHJo/kHiPVg7D5JlNdGGNB0TXtGOUsjrIP2hj0ckjQWGl8syzPoISSpEsbYNxCb6hTwFT4BQFIbjiMAOqJccrcu+BioaEqYtxHBCljsY8XMTUWXf6iko3SX6NE25OZSkAWlz8Q/XfCmdGOazMoDoGBLQb94i3OpTH3m5gIeGaJis6jU3EUOvxBI2o1fmWhsYZjE2hVAx4JY6mTO4uQyDKw84jww2sy6lzcd1GiveIKjpiBHPzuKsNuCLoYRE4RCe5hjlWQ0/mUFu1mGie7AVZuCK5A/f8S8wYw1GKk9Ey9BzCMJcuHpXqypWMR3M23VQa9UbdSjcPYyla8srIw1haaZWbga2Qcgwu7zDhMF04jaoZiNKAtjoHNHtC7guVAHBe250gKIzEW+CKJQu0omhe7/SVrF4sgQMhW6uXgbwqiCy9pTKkNbm/MIuaqMBMtCgcvmGwo12fEv4o9Y4VyBMc0GXzPsEo+xFSYQB6zAMPi0R3crjqMXT7EY1HSlVPu5NLLK6zWFn8ioAUao241UCoGVO68XHKL5BOg3bf1EQNayfuHK3gP6gXpXi5hSrGGhRqIhAM25l7AqT3kVVwCsJXSbBXTLt9W11XpgLP4Jv5RdrthoDWmLf6KXc/sl4/eFLOCF0L2tqJRsspAo81uPuApemvMSrsfxL6G4KAaYq722Gwo7Ua7KmRVJcboTBzBjBxGKl6UN+49Lz6GHoQlwyXVcelSpaViKjHWXUtUAWxO/FS8BtYqCbY7XE3tGQ5htR/uEpUyi1WdQondVZ/mBhUtu7uL9vBSD42YlV1tvbG9Gougg6ArrESKvdlP3AJB/ydWY4CaiKxGJbbJalqbsiVoC/i4ZQCLzvXH3lvcNUuGWwW0hhe/MM+0baNwClbdHMNKFSoVRe+CAvLNlrKhK6rbFnA4QfMRjf58xXK9NEffLTS7a2lmEwAADza+YWDIim/ol8LfArEFAqG2Xh4AVPL/qhQd3kHVQWWXQbWoD0jAwRtzqXqIealCp+ahNfARDNpclsIhTdMaEKAqJyKYrMRYBhDuqj+2QK5l7XeJkQ4aixO1ROkqrGpgzZxBSTLA1f6hRpQ15maiFffhLk24lJuWZmU/AicCYU7ZjbBQ0fzTn0dwZcdL5TJvd6cwjD6CV6M16ZjELhANXCDpC5fiZL04jUt0iroysBKoaG3WmIjAWpie5do7pSuniOgpM10bm4XZLCDLSET0eqtksrki8gnaZhQGv1EDcUqN+8XIA1YxKUxocxKMIAHgeH+oSW/wAzzUcWhwQi5N7q5UaE5FExAPKtsuwYZW4c1JZrcG0tq19ErJFGwtrqGBocS65e4i6vO4TWqg+2HhBtLN7pZuUJh6DLmAW1mJUn2gGLmvgcWRprGlEN9hpUtR6PDDk0S9ylAX3hjzuLW+Zn7kVp8yvCFxv7RVS7bTF5aRayOmo0U1XMQgL4SAGb4I2wXTdEReA6JkYj4KISw2zDiOjcqYUAYN5l+g+ir2YbD5/uXOYRh9Vy4sFzHCMA7la1JpepfKBlvV+JmuhmPugiZ1ku32iaGXLLasHMNFdXcVzPi4RbN7nwRTLBkL3A09w0Au03ae2YD+ilytBbtSH4jNewItk/MsIFM5wwGvmAfjiCmBWkyREbVAJNBuyBcA5rceKVW7v4i7IGOWo0308mvmAQp1n+UZsfGGASH5Y1Z37f1KgNM8s0cTGgrVxDChA96gyapXVdwnrD8xJWrcwhlrl7g9QihjKJye6COESGCyGmZ7YgySpgJW2JiGnP8yhXe5UjHUMt/rcTkA+GIUonDPwZl2veZSz92B8tRGi+EMgcFQtxDRFXfMdH2jRT+YrZW3PaFzgRra3Oo1fslbFCYzD3orbsJcuDLlHxQ5v+5lzmEuEuXBly/VPVZzMnChbDBW9jGFs6DN4B7IstWPDmMXNOGAXyQueDHvOXmdpzMuBzKLy/BLeaim16Mov/AJmFr/sMTtAdnD7kBrJ2a/5MQhBvYxX9CUUoQo2kfERyXK1ELQw7jYdH+MzAdEyTBBeQNDzAQNa2qpz+InQ2L6LGiOpc5faAyC3e5ZUjKxBDDLsl0xwX6A1TuUMVRJ4ROYMEOtbjS2axCeFWQSXsB0mYKGA5JteWGiWXuIvAtxZui4qyq3c0ZkeWXoNu4BC5XoxAGYwAAOWChuKaYl3j+oj6HoqifsEuDmGpcNS5cH0CB6MfTEYjaEXtrqPbTB9hYDs6lJLgKcSmzHJuBpr3K0PwS27kkG4Ulhmcc5TZWorftD0YoGWKy47vDG6ABdcRTwmzY5HIylT+z/iFEPbzBRLMXooWIrA5BEbr0qviHhB8XPhgsxWkEKlXb7RzAWy46WPaYsEGLK6Yb+2DRb6cMWgVNImcx16BG0JRmwMe8M8EAlizEaZYvtLLXBVQBwrWpSWjyR5t+xU3UfYpYOuCMFZQvJLGoGBJenVbyJSbYUM5UoqKyMFD5Y5cx/EIQDNTO0ZtAKmEq/Erw/E5RPchxDFS+XlhyexKhuEczT1IMIRjuczSVKuW23FUK0DuCGUXfmINzslydjTAVoyyy3lKa4hC6zL+5inF68QYRABXEW+RFn7SsKS+OYPVvioro+WA6tb2BOHsT9iNampm3wWn4iGGHSaZuPSG0ccrUON8Tr7zCCo0ZdkuMvM+cUDMFsEScr4iOgmBVjKrWcLD22kdlaME1Zq9pdxFDiYtK6ckTweX/EdhaOEpnGv4TRIPEWtpWbAAyfeYlNQbCk7kFLWbzmGkxA5fecBzMYbmRhkmV3AJebJtTzCXQjuDto81TMEi6gxDgomi5bNTl4jzxqLiLDREApXbNLwqguH9oH55XFbX1hKAA3shwjY17QBuvebSvma4zLjAfU9CB7iG6vHiPoEuNygIC6O4biMTb/EHmAuM1tOHsnbjSAH/AAdEsJSlXrEcBmUPEC6PjcCgtyS5YZu7ZlMdTOLyO44afTFwU0t5iv2JivmJt7R4IrKaTp1LfI7R2gj5jHDCaEezUS5eQ/mI4BHzNWPFwLeuS4wqyRtBjMyvQcy+GoNn7i6sr3xEU39kNA6hUJUqxlb9SIGBGyFAaBS9y3Y/eUrH4huZXSUuyZLGAN/aA1yR3ZczLXFZtCwCXKpP3mYDMU+ZgV4SH6Sd4S+fiCBqA7C/1GECZ0kzLzHHU4imH4hunVwygNqF0HtcAAT2DKaMKutQQazxwwTD9mIJN9xmBYt+Eq2D4bgXT8Q7xC+hPGWIzw01OZUCCG2WsFyooEFnNRjpDhpikW6L+YLEqcnmC0Dl0QUBl2e4lSHMeJfuGoQn4it2VOH2jCFNftGxpMx1UGleZiDqcnSRCotJFj0IUJZMwRGG2nXMCYfRY3HBgDVx6jEqvKEyHmpr1ZolDmB7Znee6KshG8y5x6LFEp3DS9nZLEx9CuXFaFhfKwatLiB7RqpxyR4KnzC6MCijhCcIHgQVyfYXMOr4qaJIO5Q6EI/KKailebiIEeIOWy+omhI3duJYJxMWj2l8hfiLWYdkYagjaBqtQjLolzEF4NSzlha0bjp0VFGl7kTe0hwzLA+yr+YIUkLbseGpTVHy/c0S9jUfhf2ucqOlr9yhsSYmDOGAgXYgTUtEDY4LqC1nEobYQBVtKNxrNTlvNTDGvsqX3sBtPxAaWa95bNfAtqPBuz+IGNcAWzuV2A0PTevc3KMdXYvMILmjC8ApQktwehYFftDBRZSTYdNTn6YqM0I5cWLUzCvgGYNT3CLBHDTmHI+nzSftLtO2CaC+0x3QeWBbX2YgaF5q4q7WPqbhqG4IFkk9phi8tMfIwOGOpLPmyzRUfNmArQWxYaO7ZmdTJhpZh8Qm7ICbMnMBG1PUREvkzDg+IIMVmUH7Eu4lsRlVPEwG1XmCLLcWVF2CWNRU6jdzbARvUtTqYreGZs4jJuOlqXUDokFAICGhXkVqNos8EoDiYJFChDUeBiRbs5czYFck3YezAuX3CbpPabAe7Er3PLca4CFhQYPJLqIbSC6HsEWqr3YALjihK1peVzJAFGhQESzQu7LGewnYiQPJHpDjYH4mE89cv5cEBiua2xxKxkK28EGDnb/v9uWkrAqq29/aCAmr5h7nHdQaBB5bYoJnublsTBwGalMN1er9IvvTQixLlxjFTUy916KlTvMNCRsh2qtZvMtVGDojH0fpIbgg7iAG3EI3glQGPj6MlrUz7TKPcCgctQ2VBYJkGZMB75DqAkM7IgofCA05JtI0CyXGnDEm1DKxjWXLKthxB1mAMwkhLVmEgQerhHI97I5AjYC1CFRfMVtnKAg1RRTFIzecspVzRCsaZZRqE8k077JmD3CZ5L6IMSgLutzL5HZE8vyR4G14/qZApbG09zcNccrdP2cxOXGqjM6JZU38SuE87lBYfS/xAUFR4iDuqgxKd68uLby5Gcy9Um8ICwU6NUahBLS3MRn7vZhT+IGgisKeDmVEuDdTtmZiKDYvBHS+S2ufEK9GYjY4ZYxcVxM/ajy+01IpcuLGLMPcv0Nvkiy80Q1GMYx+nSG2bpvCsaigV4lupvP0P1RexEZBFr5dEorEwrzE++UsviASeyWl+CEmmMPQ+Y4u/MRL1QDcu2xjiZlkoQpgAcwxuWXbiECnBmDQcBr7xNQmh9xKgGHAqiygqJ0D4xOduUzoF4bPM/Hi4e5AzLhIxtWodAZP/IB2QmgTyTIFniULRNXKSvlTLkZYz1K/RrcNSsyHWUoqq7ymWewqgFwM0OIdyE7JiAWsIjTBn3CEiMU81CTzKA6usQQGFfgiW9I9zb+Yqp2D0fThrissSybI8vtNYsS5cWLFiMCOsnpsPjMzyv6Poxj9Q2zb7Ecx2ptlFW2OALlatoXfj1B6HPP/AMS88sgwOiB6QKBx7+ZgeHYw0tEu3Ut42ZhY6SINkajHvHXLqP2hMDd5iiqAMA0WQKhphiNplU5ilribLmYmazDDZK1alcvtCKImPQ4AR3MkUnbEzolBlr7MMsR3tDNJeEKQN4v+IYqjWWZnV4gWpJ38hNdr1KVqCyktzDXhiuJRqWO4LmG5gryYU43CZTwXaKbBrslxyab5SvA8EQ6wgZeyCv8A2BpJZF9M2h9mSjuW9BACroIg1+190uDuCw8kyJin+5mr0XLixYsw9w9PU3UKkrh+hj9ROU/UTJOspdGZbPEUNlly7ab2degoRMr+2FC8uiZREM9jHM0ruAm6eSchdRjFIk5jQXh3KhjI1uIZVwlYpsvidQTtEBopPLIGk0WLDMVGEG1+JaeTDc/1BiVKzKzKiRtK8SjqA6hde+EZsK8p0d0xD2hc59dCPs9libdKeIhBXZNTQK3LUug9grN8/wBvMW0/mv7izo98/qNp+ElKCrjNS9iPmHklmhVS+xuPG9wiUljYka0YiDPzcyJICuIC01PYKlgHLUx6WI6fiPivK/tcAgyjP9TzFVtyw2dDYKYpsldKzNJg/di+wQZcWLFizQ+gNh5hTlff0fRjGP0E5e80+0223LMAOWLmuIS1k1mIFWtDZi/9UDkgM7i+2AQWZTJLI3VY6lK/qJ2qWTcU1gSlxXmIbwYy3fXoGqXo3FrlLLZfsG4oKqJ0HyQTKfZGumoRwEPqNWFqxR8RFTV7xI/R6Gg4p9pxPmVicSonUqBAlXuBAqFVCvsSMWm8sTjUilVNyLIZJWzHKyaHHtAot3A0X7QGp6WNDtczBFVZfmdvSwvAzL2I6H2nD3joBXg1T3BLhC8XDMgZNHmU1N/yjLig2spjZOCbEHEV/hH8xOuuyHMtCBeXE0vW7g1TlwMsuFXBxjW8dwFhWO4PqsYz8d9LW+Yno+j6P0kdpruKuGJa9GIttxxlxK+2cvL+oxuTqDjmm+oqV44ZbCx01GmFfiowD+RkY4LPmDIavUAytho2jhiJypMosQRwiLtzCKVzKrFYiNRGxjb9TgmZ9FRysgqn0Ri7t94zSfgJeq/GAjqlT2hBLGczj0CVPb0N+u5Ueqh7RZS0FA3ELqexP1oYiRV5fWolRZTtR0zAOyaTEC7pLYxFRYYE7qCUfn+JWjRrd0wMg5dvMTx8Ka+I6sG4Wbw3KwbVf4hi/cmGgwKHyw5UvhbHxKUHMs8UGX6LFjOf39Ax8o+jGP1XCO0sxjJLd5dR+iVg4e3RMia0HAluIu02LhCwDmWyTbtyQzGScw0pLOJkKq+Yo7cQSgELtuoLv2mjHzKid6viDlAmmpb+YmnHMW1iWXNwBIGPMHosh6BW1YeYVr1NrCQZeDuVa06SDwT3wwaCOPHpReJfcvM5mZ7+nx6a+qpXoIZt1Kge/wCozGvvN0ZeK5weIiD5hoXzMNnTa8dPeVyxO26lkBraNr1G7IOP+x7PCbnyD9IILhi+JeoPRBm1fLLSurwUzU/quJQrDx5igy4sWM2vM2R2hqPonoxjH1I+i+pojllqrY6CHY8Lu8wBgF4K4l5XLGwFjxABDcVYzLjjmWPiUCo7gpiMhGvxLbcMJleY4DNkzLKmQ+0Wi/EUKzBc1NnoW7soRCrgnGDiXDTxMOr2hKxNjETsLGYJV36hTXpiVjMs9OZUqVBdQTxEeIriM8RkyUeY1oilxmIkOU195SgWw2v6jhepDayruNy26CsSrVbmwy+8S6Ka5YyGnRmoq404xiVFy/uIII18jzDK7JCXySvcLR0/QlWxa9yyDoL1GAiuhZcuLF9NfvHaO0NPb1ZUSMY+pHeW7HGPYtTIu1o5RCQwFRsKdai58SgWXHLleZYNWxW1CDeZZj7RcZiiiTDg8xSjBFl1FRluotCWKH3SiWIGRbdxTLVcVjkuZKVPZmnolZLlSsPMbq3LGlvRD4D4lsvb2eletWeh+JqbqvUUGxXiO4iPDNjEN+8OCN2h8EyirzmARUK9pZMORZ/EyZJjGW+4mtR4uO0dWTLhXmJHwxNQgoCrTatylDbnCdO6tzECsi3zOyFGZTCsckGoctkxhDSylhwW7hhucqAXwQQ1T1LDcrpccMvFkuXFmb95wxj8L1qO5USJGMYRZ+3qPgJUbr2hZq7WYc3Xcqt+I3TL3GmKkLmPmXFAOK5MGBQrRUDxk9o24BxFhf6ItwL2zBGG5aZ9pd7RXOYKBZcRnERioOCJK5IajKvEzlfaXLjCNpuBeZbjWf3Nx01LeuLp+fRIanOITHHronM+Yycjh5jVLb0LmCA8wOajoxDRLSnUTbKVJdBcawgoc+8IStaOoFWVTRBUbiC1ORKUMnEC2vkmbjvaULf6jDkOaNfaEUy8IG2QozKXAy7mD7EwlLb1LIYHuJYR7biRHIkl3yrtYz4pkn3dRXYcR8Bf6QRLGz0Z+DOI7mXsSvR9GMSMYg2xJouXKsrY1cwwBwy9PMNFc5YL0i4whVkUtC22PdNMAx8xYTAwbZQKFUYCIhS5fx6Rm7fSE5qEvctDCxxL3n7Il54lotsS2pQZaafT2u2IRSqI2t5YQgBW2C3FPxhm/wDNmmOCMATgZ8EPE59Lme4ZaZz6eZok9rZvXullGrY8qg8TYMX1ACgYgwJ+iUCs3FN6e2ioLC/4GPvKXA8ncfdu+4N1aNwcJbJyxUsi1iB8mEJNoVL5jZVwAvI4I7crpbolGrebOYnwaMzPyjEphMkTEOiszvK8zW+yJFVOf0gjYyPpTK1iEd+uT6EjC2Yrp95Z23GXTiH5ri36KgdCGdlrtlxIZQtITKU8T3mHEE20tgXLFWOZrLMDHnFaP5l8y7inM8G4FzL3kuXbEnA9GU0lVwanOJgCGkx1CtmbfCdyafZn0eSeVJj2lTPrfpzfowlgp8xt7jqGvpeB4Ql1F3/UX5TOzOGEAoJ+SQl1GpldnMIAFGj4jDaNqXpyj7E/OZ+xhgAaJ+FPxiOvT0Zv6PI4jPwoaI7n7/o+j6MaOo79GM0jCczb4h+0JunM1nCLE6mn3m/x6G6ant6HcYzuc+l9GPrO0/Bmn3mpN3vP3YZu/wADHc2n+Pwehz7w36GvQhs94w1P/9k=)
O professor assistente Bent Weber de Nanyang (a esquerda) e o Dr. Michael S. Lodge no laboratório Quantum Spin Hall. Crédito da foto: SPMS Communications, College of Science, NTU Singapore.
Isoladores Hall de spin qua¢ntico são uma classe de estados topola³gicos bidimensionais (2D) da matéria que são eletricamente isolantes em seu interior, mas, ao contra¡rio dos semicondutores, carregam um par de estados meta¡licos unidimensionais (1D), que são estritamente confinados a s suas bordas .
Particular para esses elanãtrons 1D 'nervosos' éque eles são o que os fasicos chamam de helicoidais: ou seja, os spins dos elanãtrons de condução são alinhados e ligados a direção em que os elanãtrons se movem ao longo da borda 1D, semelhante a um par de spin polarizado unidimensional fios. Essas propriedades helicoidais oferecem soluções potenciais para problemas em eletra´nica e spintra´nica, bem como em dispositivos eletra´nicos qua¢nticos .
Assim como uma folha de papel mantanãm seus dois lados mesmo quando amassada, as propriedades físicas dos estados de borda meta¡lica de um isolador Hall de spin qua¢ntico são notavelmente esta¡veis ​​contra perturbações - elas são protegidas pela topologia.
Previsto pela primeira vez teoricamente háduas décadas, esse estado exa³tico e topola³gico da matéria foi realizado em heteroestruturas semicondutoras em camadas cuidadosamente projetadas.
Mais recentemente, estãosurgindo classes de cristais atomicamente finos, semelhantes ao famoso grafeno, que hospeda esse estado eletra´nico da matéria como uma propriedade intranseca.
Em seu artigo na Advanced Materials em abril de 2021 (link abaixo), a equipe analisa os avanços recentes na engenharia de materiais juntamente com a descrição tea³rica, pesquisando a biblioteca de promissores isoladores Hall de spin qua¢ntico atomicamente finos com vista a aplicações de dispositivos eletra´nicos qua¢nticos e cla¡ssicos.
Por exemplo, a faixa de temperatura na qual os estados de borda exa³ticos podem ser aproveitados varia com as propriedades desses cristais, como a força de acoplamento do spin do elanãtron ao seu momento orbital.
Enquanto isoladores Hall de spin qua¢ntico baseados em heteroestrutura de semicondutores são foram caracterizados em temperaturas de hanãlio laquido (T <4,2 K), o progresso recente viu o desenvolvimento de cristais atomicamente finos que retem suas propriedades Hall de spin qua¢ntico de até100 K, prometendo temperatura ambiente demonstrações no futuro.
Os isoladores Quantum Spin Hall poderiam ser usados ​​para novos tipos de eletra´nicos que consomem menos energia, mas isso exigiria operação em temperatura ambiente para evitar resfriamento caro (e que consome muita energia).
Nos extremos de baixa temperatura onde a supercondutividade pode ser induzida, aplicações de computação qua¢ntica especialmente promissoras foram previstas. Quando supercondutores, os estados de borda 1D foram previstos para hospedar um tipo exa³tico de quase-partacula chamado "fanãrmions de Majorana", que não éfanãrmion nem ba³son. De fato, esses anyons agem como sua própria antipartacula e obedecem a s estatasticas exa³ticas de quasipartaculas não-Abelianas, o que os torna candidatos interessantes como portadores de informação qua¢ntica.
Na verdade, devido a sua proteção topola³gica contra distúrbios externos, esses fanãrmions exa³ticos foram previstos para oferecer uma solução potencial para um problema comum na computação qua¢ntica, que éreter longos tempos de coeraªncia, ou seja, a escala de tempo em que as informações qua¢nticas podem ser armazenadas e processado.
A computação qua¢ntica topola³gica baseada em Majorana éfrequentemente considerada um dos problemas fasicos mais desafiadores de nosso tempo. Recebeu imensa atenção da madia e escrutanio, especialmente recentemente, destacando a importa¢ncia de continuar a pesquisa em materiais alternativos e plataformas de dispositivos em que a computação qua¢ntica topola³gica pode ser realizada.
O artigo, Atomically Thin Quantum Spin Hall Insulators (Michael S. Lodge, Shengyuan A. Yang, Shantanu Mukherjee e Bent Weber) foi publicado na Advanced Materials em abril de 2021.