Na corrida para construir hardware de computação qua¢ntica, o silacio comea§a a brilhar
Em pesquisa publicada na revista Science Advances , os fasicos de Princeton usaram um dispositivo qua¢ntico de silacio de dois qubits para atingir umnívelde fidelidade sem precedentes.
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poBUta5RWo5VS9HlY2YzYdsryrSmBptXaw2q3sOSWnQU6Oy5p6EgnASlBzMnUsaLGVrV49j0/nGwhgMUCV3VE5ZTEkI5LwA2q08sO50IRe6H5vFFWvUhdwiAzjDuehYeTsCHmudYfMboICrYYxJKksDZRi1L3U93W9NZ06l6gQnS0JIYVMK/YzfumTq1nVkOgCtMWXECuze7RKdyayqbQ1zDay00vNuaAcT4javSrWNewJrAWlTHYRsablTm2BfmB56iqIi1dF6JzJXlZ57CXCnLXXCyho26hs6Mx1lYpl+d975LWwNK3w5RlWq9VvVI9wcQNJFJYyd+zcdz2dr3FYN0DODLKZsa6/TOSu5XUUZoLF0ezz8a7QJeZgdShdATNT3Tb3CJqzwikLMK01kaeLQ7ZJZq9PVc15Jv0ES4k6bKY9dNKbsULUtKUDNXqdQeXGJWGEILWHNTEjK2JUraIGrr0L0mC8dQKwsVKBsMXaY4PsqNzywMirIk3CyY6s9vbTvUzkdbUhyypR+yttXCT9h5DOqLSa02hK2ZylgIYMAtnpns03cFuzalNoY4gyrapQlZpYuhuKazkw7O5k3ZkFJe50l+0MUjYT4te4erBhlKXXCM5186hZULTU6mZqZvpRJ1z3clAZqCSsGBq5gAlYtNYN5BMqjosFHBZBe0JKEKlsIkcFLzNTgGGVsOqEqC3TnNONvA2Ti4d7rjYNphFqeMYJVg4BipBxI+urZQsZ5X4JYGxS1LSp3TptHy9Dn3893pfLuJJATnhZYo97qxTp6Jgk2K9JO3mLqYTNno+zmxmt4IIMwQDNUQhsfTKNGbXKzNnJRPRblutbLynGG9VoXDDZgrcjzOefAUOHXzze6XVzkzj16C1pVbEBYiWLHQMcMpNCIJA6vSdIQ6RHTMkViQw71LD4IYHTrA2LT6PKIRxazzy+pw9F1xxx70V41NvZ2jPGwKgJOQ116xqlrfW/ejU8q6+sKQTgipgxrYvfeqXKPy9W4Abkx5dL2nmHPMME06xVmuOwJmSAMdvlwaM9fP2lkF1PRGx9Ec6thgN6RPVLYvZuyBNMZs9W0tEjJ6MKnQq2GZfgMUBMDXrcvcRS7qLi5ozB6+k4OIQUHKYNoLkUMdEyREkQZAuwtS9KgsEgVoGFFK9WiHuvC4bB7cC0oSlyrvc+jdLz5vUuHqWlWOIddW0546otryCHdcEvxNell3LdzwtFBMsMJnTRxtkWr58gY770n8jR8/pbuo2z5TP8Ad+avNQiRseiIJE1SZiLBJGsUoeOnKulk36cvTHw3k0LrGghIgZmOy7u4CQB7BZumlbOXOTUAFKtESvzj5ETczhEj5NuZ7iphZF19PRaoO8HUFmBgCEg5tNmRrNtehkFw2gzEDlWdS4ILrkBh0vXiufg9MDFeikMoKLbCrXm9Rs+8Y6CgM1BKDHGBMzyVtB5lMOquvn9JY2/RQ64JWyBNOF2RMzF2gHXABr5Xqg21J599AqTnLs8XKMmZi+687eeUVe+dnHec9ad0rXu4LZW9zVi1evB/TwNDXLWuoyN9W2Zy7CNXsp1Tl0xrbgmdu6ZSOmUjpkkwOyd0cLT5VhdlWestgXWzK9i1IoPpRYqSgkOVEtyUQ6WXr19c61I1rnDRBdOcBpGlyjoQGQ50SbbXHtHVFy7jBeLQyUBElTGNhLVeVShRTn01pLnEA107go1TPbmlzzywfqzmZkHD3m9kfS4o2C+iDZz2fN63hh7On2s1g7zvp7Xn4y5VVPIDY6909ND68HXpVGJWJ05aOp5t3r5/TEzdDKFmMeoRDlaHD1tSJ6bItaEjrcd08dPSRo5+jK0E0ef2CvYsqsEtVJHUkgKDSl+3xFd5TXMVmZQBp0NZA0EW8SEq2lOIFT8MUthXpx6amgsbl6AosRNJF4NPqU4mDBO9Bk6Ly0EcMxanWM9dge+vFqHPovpZO5PPAq1nKz00CZesDbA0VI9WV4JXHR2FGvP6isrxK25nMIx4/wBln75eWgld4JIC8PRbrdncVty0rfogg+6cn9vzLW+Wziqlms6t6b53mt+mJmLXMTaDotBFovFZ6yw+i9KbrLcPWSRQrAh0sta0XM0G1rnS1q3HMLnRNpl+5WFYHXFF2A291oOpYWNWEcfPddtLQ59iKmQzuaWAtCUPUUIAsIgLn0Fyr58kKthgV3Lmflvo76OBIKemNjEbcSio5OC7NBxqlQcrGV3sbvICUfWUbXDx9GhajXHuOlDhmU3mb+V9cPfLw9dBLryi8C8/pa6vY7TW3ERPFeJU4o7DYqXucyN4W+ORa4uvEtw21LzWbJi0HRPHaCGhKRQoOPpMC7esIm0Vdc6WhkVJYREWIgmSn6YqCyes8MlLTD6CDQpF56ePTm1nM6ZMMHPvUDCrQb1vVeNEUm1Cgn0dY2XFns+YCd7SdcEgMnTzN7aqSJ6pVaOldJhOeQq47ySykwMYvoFOrEKsX0QudrUiCZ7fm9ZTUbzobvWuCz3a5x5n04LnxBbB65Hcy/Due4b8u9uvKim3JS1oIt0liAsrtVrspA9APfLElhbpyJYN95JFe1m2hnaEtqljGgNLlJ46iMr1hakljUudY3TkNc1tAiginEMSXqdfOjqWjGjDZBjU6xL46iXoDPS3L8ra80DDrYJIOOXPXWNV5R7PmUEReQ9OkHl6+TvbMMLz0sUoom6HPvPK3ADSXYGMbZVYrCrIPZk51WbEYOPj30WkNfj2JMxrlM1lme7kV8j7fA0wWFr9M1hivLrBFDcu5rUvncdNTp7ie7i00sEuC6viXMznLeijXLz9zLdOV9HM0N5P1gy2qW1i0xEtzUtYc9O68rqlQrrWvQZZXGs1gWdUIE/PdXVLS2FN4OyyXl3zB2q0MJGxKhqrxBWD1AxS4Xk7z2XhznzBDSkMESaDee3sXWpYXZeoFNrOEmB9eTPLvZ4BYozFmhEM3M9TgehzCet1xUTbPPSGh08us0uK5L1OLwLot5VnMdFyBJ24kMvYZQbPjSJgV49n6ivntPX6Xomp09xM1k61eCFFVdGUbMrk0Db45zIa9eIiRFWGy/Ys0bJ3zvRY2laE6rwKS8CpnUyI3LpfjVSgjCVzUznuXaVZRmyjpBWb8sdXiIk1lD8OAD4m+O9IGOfBRR6VosfiFHsvVh3MdeodiVaXm1GdSued5CvZ54eKq2Tn6MaY78s9ZFu7nulbK04sS4CoVqLh3R5d7tq3x3lPWB14K3CXv5pvSw0idjNzCkX5dXOWNjuSYtnURap09JHdJ1bcTYdi72c8lK93o8arfdT1O7rxst3UvXuugMdx0dxRju47Ub7s6It3BB91b1e7l3y+7pptTuIW7ijPcqzfcEH3II3d08+w13c+dI7o5XuOw+7VjU7nqUb7pqEO4V0u7p5GSd3PLpO4nu62e7tWs91Qj3UYvcZGX3TeeTu8/rvbuor/AHJj17vV4id3azJe4dye7lut+7HRi3dz9F69xFu47u4mvcdPcWd7k//EACsQAAICAgEEAQMFAQEBAQAAAAECABEDEiEEECIxEyAyQRQjMzRCMAUkQ//aAAgBAQABBQLI1ZQ5mNo6LmXN07YjcV46Kw7q30XLgMTJFNxTwx5E/GVh22qYxu2QcOORtGBiuJ8nlle58hmJhZIERNo5ULAQChitOqQZBgj6ibUTZO1TZp83PymixlxspiDy6j7vIxRqpbWbEzDVhl1Z+S5MAtSs9FzMd7Xq2Rw0IWcCeJh4g5OHHSOwvY1sRGzXC0DSwYIWIhPIzvWR6DZREDTHhQDiM2pbLDkJm/HTlvnf+ZmEW6TicMM3RmMjJFaZEv6FP0++yPUTJxdxfVxzZmtzGgWPMg8i7RnPYjsVmOlmxn+MlSpqdg0u4wuY2qCmZ9a1MoibAQ8skPM5U402OTHqGNi+fkBD1S+TDUQUIdDByytrGmdQEPLhQF5MrgicX7nT9OGRMWPHGYThS7S56J7GqWFI03AP3Nh6YTxhBEZiCXsqRGNtOm/sZG/exlWJPNMsx5IuQRlXKmXGcWRTHTYEV3B+gGp7givFaKYW4i+wZcMflvUKAyqJqILbIkwie3bxUqZ90C6Lcu45GvvIFCgvcBYzJdkQRMXAVxGJ28o7t8auKXktA1LhWMKjPF5ixtaR+M3lPggQk1rB7pmjKROn6cvOEW7LkCMblwQmJ5EijFeo+baOC5XoshOPFjxw8w8T5Rr7i2Tkx6wUIzFp0p/+jLfzhWI9E5CRzBxMfEy4kzLmwthYMRCA4ZaPZefpvsrRMkvso5E/P41gHZqvilPDNLKzpm8ruGGY2j+kSHFsrK2J7YzWpYQswM2mMAHblspJ5Y7VGcFZXFCotfEcTamDIAPcN7ZCScfEtSMyHGyNyWWY8lRSXfG3GRpXDBln4Uc7cKmwZTjgY36jOFjnc9Es+RYzrLLRyZVkrLKkvcYy+Ok/s5ifm20X3MLaN88NUlsFYqciLnVugMyY3wk04ZCOwNS7+kHsGqI8XmLyYYOxENR1uMJQIZQI0xcxRUYUXUgAGb8YlJ7dYr1hQhXsioOnYrkx0QoqoPE3ZOtlVu+FFxkqYsYZygQkkyhTVNhGyeKIxONRFHlkFqVFphLxekdonTaRgsKz1Pk2msvnwi8EsJnUCM8RWc9N020yUq2AWZTFcUXgPGxWM1gGjdt8GVj0/TrjbLXywS6OplNFGSmJExtLnUJ8mH0QeHWuwNQc/SD2U1MeSI3YxI0ZuBPZOOwcTUBDQOJ/JiZ5TILBWhUD1Bd5GGTGSVmJWeaAT5pkMQ2FcBh+41BIwouKNxWg5dZqBHAmPmcB3owWW3IimXEyVH83TDQf9ufLGyBlFxhNYD2/AHDMBC20/SifGFG9Da49WSaUqB90I1m3LNfbp/B1baLreYD5tIeJRMs1vxgy+LtZ1m0RxXV9KKgj4+3qA/SOOwMxPA0uCE1Dk5AipDHEPjDV49AymCtGB+LU1Gq6peZki5dVLXOKyNENwYxAsbYzWZ5jwOw+JtigsBsc9wnkzaZDMeNgGssaqzFLNMKaMcsNtNQYU5qXwDx67XR+UKpfd8WMCXUZiSWLTY44LJa7EDgQttB0uQpjwNadKqwYUmvCfy5h++CJkqLyC3gqghSK9zaCok3mXo0eEaNtHS+wgPH0AwxTUTJA1yxTQDyTiEwmXy4lQiAcqNouOZDA1QUZtUJ4duNuBCYykzDgZjoNn8ZbQsYz7n5dY5ZpjbU5WWjNY+Og7UApnyCuCN1AHk2vxoTNQqvlafJE8pYDNUsiFzMmUwFmb43IwIiKT2sGemADQeM+QRvS42dsfgPk51stkp3yzc3he82T+UwLyVo8WRPZ5s8THNohuYnnW4Nx6itGTaEQGoDf0GA9gYjxWvsogh5g5nojmMPJkEK0en5xZblkxVOwPL8lKrLh3lay6iLcQAKXFPzDwQeG1KsDBdrk4UEk3YWz+Wy0g8icbRsaAVPUGNpyFOaF7ly7gbWGvj0asmSBjMSb5Fx0K5/bIb7rKgVCZvwPI4cFgY0E4mWpvR3MIhybT0cHObJ/KYOJcIs7VLIitGu9o2oCMAPCwwEzdImQPhfHA1R13BFdlP1+or1FaKZfYCVc9RRbFZkHOJ2SM3yTTi+b5B1IypHNHKQ0x4gWGojOsDLbcRzKBVp8niFJPwFQNVU+4BH9Y1uMxWXALipyGCzJk3j9rgMLTFRPV5dQmN3GBGWZEWbkjaUSaGMtOC/6dTHxuD0/Tw+CnKZvw/kFSPwSYNanT/2MjVlE4g+7JxEMJtjU5hwkSoDrNuVayC0DBhl6G2yY3wswDhlKwGX9XvsrRH43lT1D2QV2NQoAMKR/taKAI42gDrExbjPg+IY+CtsXWVZyBhE1rINCwDjGNjxRJgUGNpNiQeAWuc7MtRU3gwOpCMSuLaZV07KTdTbWXE3Y/FjYMPiJyEwm4zCLcNg82UyNMHTazgTiE+btCYXMuwXMUQiiYDMJBz5j++rVLBi8RjtBxCAVTs7+CejEebUysJsNg8IGRc2M4X4cOhWKfrvsCYrc43jG+w5n4sCbAmi0xqUUgsNNicYAFLGy3FzVMubZcP3Bqx7RFLRmYwAaunHs4iqJhqiQI2tuBqtQtFxM0XggNlYYEQGhDknOv3QAW3hFcGOCQtRcniuSZNRDkRw8IE2ImDH8pTEELejmnyQ5TBkILNcvtyCZ+Py3Mup038+YXnrjmbHVW4WoaEYmL9t2SplGIKBFz83EImNrOTGMuN1ONwbjpqQ30ntc9zlZjfxWz2BhYUfYFke+78nXjWFTMmJQidJNFmRQJc+6N6YmJgyMShllI2QmeRhliaXNyFY2mNtMRczRoeCoNuPjLGM+wSgA7RTrGMDRRkyT4HMbp8hn6d1YdO2R+MKDJNi8IAJqLGqBbE4jCjYoGNzC3BYToiT1OXEfn5xjkxTwVqK8Dcn1zS8saWXY5noamlnpt4mSdZh+XHAbDpUB+sGpW4DHG2J4DC3JiAmZPGK0RvIx/S++JjFnUVkRlbYwUZ8amVT08DUykNlOSpvcu5wInBNB8gGwYx5jvI1LCq3Zt6s2BspXXzOPyUOoV/LIQYxOuFV2VxNhNpusL1Dks7qy7VLPYRuYjcMYDHIjGIeWcQYmafpzt0+EY8j8Zb2gwoFbGQytMh8tptZLCXLGoM2gajxPZqCpYiNM2BMy5MbY2Dx1invX0K1R/Ncb1FeAxYI3Ji8THl2hNy4feNahmQmKzZI4dIMxtFEbhiqzGP3KM9H3CDe0yPzZvlwuEGWBHctORNjszXPwGioaXJrPlBgxsW/TZAFThq19Dmlay2QgitW+O8gWXUPl2XUAnjXjeMwiqzBcYnwifCCRqpyOhOFv38nlm8RAWickjG8fDq+oEIE1NAxSJ+R2YzkKAWmoVuSVPkr1MuJOoVv/AD4bUssB+tTMgqI8RorQHt7MUwtcollXy7Zj48gEMY0DUXcWXN40yKfcKEkrrKNMag6bcL0520CQsFhIMY8fJ4xm40NGgvnSLkn6fhdUUkU1Qv5ByTTsNWVXFrjyRiK1LF8P7dkTmCzHm9TkzFj8hkqNkF7xcka5XHS/z5P5buWYTOYRuCCIMVlsDEDCZrUPETnsOCcnG5As3ZpCKUtFtYpn/oYtWBjLFP1/cD4srRMkVrl2ABD2P3KPGXPyRyoBLCAXHGsLWcA1IyF59g3jOrIVi4mywL8YTWZMlkkkqqgUDOIFJBxFYmQRMAnqBhGzT5QWfLZORmjIVgaizRn4uFRsmtgXHJEcAwllb7p8ZrHh2jDU7zm8koBQIxIiTpmBzuG+bnbmEwM1Lk4L83yAWnxm8mI7VodjuSYv2gCgPK/JoKr5ONucfMz4/lxMpRgYwEU96+hhsPUDRckRoCKj+sIJyQy4TLgSg1zmZDvB0TT4HUpUZxsz3OCPIzHhdQ1RuJcLQsYMhJdfEK5gwZDFxJiVvFSSJvc9MJqpFmjxPcu45nyGtjuTZDBTla4ytHXmhOGhPxk3kLhVBBWMdjxGCKvF47Y4cT4+p6lCrA8k8m4OB+2oisAGaXNFaHBcOGNYg4m4iGL7I5AEPZHqK4YNjxvOo6JdfRIuA/X+dYOCmSI9wGMbnTfeYxoH2Iq3DGjmYE5hIpkqD2cgULjZwp+NTkgONowWLibZ8GTbB0k/S4xH6WwmJcU3qF7nLTa4wqYxcYQbT12XIoLZgWLivZaoGICUzDCDEEOEkUUg9sbmM6xjbP25i9OXUdMwyLjVAm3yuuwx9LjWfFjnUYyIwsRMmsLbt6IYRXoBtpaTIuzfEkZSsuIzCDyjzmLDBYAcxHmTBizTPiOHJUB+p0uByJ7nqI8GSbWen7MZ7ZRRVpdkmfcw9GUKfGbYGyRsDC0uFwJ02Ej6C1dmC7OCk3qAkl+JcB+MXyXsgXG4i0S2NZ8Y1GMkEAH41raomcgB6PyTIsTpfF+kNPhyJPLZejtceHGod11GQBfmEbKCEfz3O4a5fbVZl6bc/o2MZMmODYn1EaM1EPFy8fKpjeS5MZoMRDkqK03iHky5dEMbHA6jCM+NlKNAfpuMm0orPunqB5jaYXF7xjcQVB7BlxyKSAxjU/DFieo4XlpdS4WnS4OxabzaNzNrnOz5LG0QTqRQvy++MpBVNpys1dhjUKGqy/irWHPkfkeDBlrHhCzTGQuALBQFy4zCloxWou3lTQRdIyrXTX8zP+4HYFX5GQAo3G4mwnBDdOdsnTPB0jalDBj3n2kNwMhvjIfhDA9N5NgIhx1BFe+wuLV2GiPUbFizTJ0C6sCpX6QZe0ZSsBuMusRqnSrYyHlTUDWPwITGZWinymtn1GAoYS0OIqHMYmdJiucKWbVrBhIEE3sOop/X5vWYsuOupy4zh3i2YqlmNo1VLoMTMeNZ8ahhixafp8StuI2Socu0BCQZVI2uB4j3CQS4bHHYtASBtcJMYVBzMH8mb+YPwBRWgRbAtyr8qZuO1TUQACZMKtMmAiFWJFrN6ivZd7JaFRXqLLFIwEFTcQMaXJMmDFkPVdP8DQQr9CmZcYpHiYFJ34sWz8o8VoDC1EttF9Jc/FxlgbWF6ORWyNh6QtNFxqxuewDNxHykwuoXIfD81UPMPT5J8TCailxGhgFDHjr9MxI6UiAYlIKGZKYs2s4stbMsIWD1QuxfpiBa1eXmA9rn+W5icDCR8nUfcs99t9QOXYqJ8lriY/Ju0+WY3LQXLAgIMIBj4A0/SCmwMkIIKrcVgIAhl6xXUS1aBqA4IbY66lW5z4hlxMCjKZtCsrupufpgxoIpMZmE/liLoA0RuDE5jGYx4lpfJHBXaJiVZcuM4liAXG4YVszeR4NT8rhyMy9OuM7CHVo/TLtSU6hSmssAfIxhNKrQkjtfJPO9weluGUK5BBFKanyahfKf7E+2GcGYOM2Yj5mNHew0qLMno8TEQJ7ZwFiN4jIayZYrrt8iwNfYiw+DIWXDTZFxanEFF7MUqalZcXIaViJcBFCdd0+xoqRLjc9vcx4tQXqDyh95TMGOoTPyrwNcU8pzkPAJuJ7PMAqFhN7n4YQimG0Y7TaoMOR1OLKxx4+Q2NYpELgRgDORPJg7EkNY2nufYfEgVKBn49RKAIAiTkQjxB4PMsRDRss3Cy/LamvaFoHUL073mzk/MkVhGM3BRHqfJDUZhMfJyGwDySaGsdVspUxNDkWK4ADA9iA00SP0ymOjiJiOYZumpNqG1zblG5Utt+PjxwohnV9MMYBnBmPEEjNcYxXjRV2c8A8wQxXqYTEjOewhhhMRezTJRXYqDbTFiqWyT2rGixWbUN7lzeB6jWT+NufknuD1dTfttsdo0X3vqDk2hqjFl8nibD4/wLYb8FoXWdIb6jJ/PcfCxPxlY6mepvwhhqbck8AirNIPF/E7cL7IIIfm6OxsZxBktgwPdr1yYXErlfuvWJkLNzDcoxl3TNjbDkwQmGGFptcTiE9jLl22FqCvNrK0YOzGIu5upfJFrlsTDifKRgUB04L3NyAbPY5SYHCxshaC4SYPW20qaArtR2FfjcS+FepvNxReDKtArNuA838hUu4fejtPiziYukYqejaZcOTGeiv9TlUbWIXZhjNT41CBAZkCmPj4+J5qYXICWBuLDTI+wvib8u0HpKn5VtW+SDIWlwc9vgx0OmxhT0iTH0ujTYWXo7zqcIz4gCkuExjzjXZvjUQ92MD8roCzTebisEvjYzbcjxVjBLofHuftUmF5lFEngNUbyf1Pz+eZekVgVVzC5E8nBSgt7bVPgM+OYcC3SkDEoyvhwvBgxXjwIzfFhj9EhYdIon6bHS4EU/Fjg1WfIJdi5wYqqDkLfKAb1nM5gaKrMxQIvk7UUXjY5Yy+REKsIH8Q8JtvwqUErZn8vZHJsrMbEwZLm1QG+1wmMWJZik2Lw5eMTkzLgTLP0S11GDJi7YVpGMPYmHmYsdxpcMHLKdVU8e4vLM3HuGcxDwLjWJukeoWEuD37lKoJoq4Ea2KqzRhpLucicxSIEF1Z+EwSyYKivUDoZZABN3PlAmxMTIK+Ra+UNNwCWJg7Iecl/MLMTLqh5O3Ni/m1BLNAriNus4M0N02qoTKBxLjaN0/BWoBPlcTawITzj+wvucaFwRrNrm/AyExSL3mQii/lbxMb7bBD8tzfmwwz9EkJ4Pa4x5XmXUMMuA6uXuB5tAaFbCuWnqIexaj8W5ydONa8h0z5I2HKrKmQE5LVlYj8AULFbTgSzGJmhAoxBUezLs3BxCDWrajNGNy+YpuESmoGXrEciDI0GSLyz/zHiCDmaEwYuSCpR6hY7ZMhZQoaI+ksseZtBtbk7e5U14IVUWE82Zj9plKxmuXA1luIGuFpkyTCsDBQ2QzfafPGcmeijTq00yEwme5j6dmhRVHYwxeSZtUx8kMJwF9mflF4ZqGPkwczXm4/IxltwqlsmAGDFkxs5EBM/AUajiBjs9kVEFwsa+2YylNrszDW7iqKKkTiMs1uKq0MlQkbZHDKuFwBB/IJmyVmu4pqbcq1C+V5Zq7EkDap90HiW1mMAnJwdYAYPbHhRKBNBVKwxGIlz2aFkibMpfIIPJgIwqca0YAUgMJooY6LmTqMbYXHMxi2ZoT2PZcZeajHCY1zG1TB+4zvR2mRywQdtbg4LHxX0YfbNAVAGSb3BtMvTFm/SxsTLCjBS3mTC5I/ztU217XRlQlaRuOGRh5wMBGowRVOs3Oou8Y7P0jvl/R5IcWRTjxZXLdIVQ7LMeJ3DDIh+DLKczVotAPLmEw+bEEYwDTbCeRg111nkZc9T82wYPAeY7sswYzlAx0prGGcvG8YDw8qwPf+sRnUYVz4vtOKGGExjE5P2gxvatBjVpjrEpbkZCYvvH2/H+jAezctkHjXNCiTexCpk2Byaz5lYAgl8eJ43SQ9Nw+ySxqlUTcY2T4wEGGojgRXFn3yYANYsskADRfSJyO/jLHbYAlEeKFUcGFufEtkAYJhQBsOJi+DDBhxkpjxrPjWyEMCqBnxs0/TZIvTZCcgKjRouN8oODJscbYy0XG5mLCxgwbHEBiTYGOYh1h8yLlwVRqtqKZamJ9p13TEZAeLjGUTChmPFrGMZoIZ0ylVYwmXyjcYTcM2oAcAlmPE24vmy0I1YCH7mbsblxSSEK67C7WaY2mTpcbw9Cwn6bPBgyiWIWWVwsfgjkIagn5ggWARRDBC3JbyDw5eLYxcjRuRNgzltci5amQtE2BZzKJHltZliw7ML1mNuCQ0Zto7bgFgF5Jss33DGGmqq2QVNjAewPlDzDwUjHmYls+jwy9T0xxw8S7KxRqGNxmhlzBh2hMYx2lVA8wNxvFqfhRYJqOZ+UFIVscifkCMD2cQbagkFskR58wiZYGJAazxMvSJkmTo8qzyA2FFzYfWfINVabS+MftPY9xoI5pybg7DJ4jymM3jWOZShSNYz3C9QuHK/tnI0Vt5sN9ti3MBBAMxvHych4MkR/PK6sFZoWonC9YlCxghnqBb7EXAB2c0fyjATeY3hAdcnQPMmJsbYb2PY+zEUswGiExjGimaNslovyTG05aY/tapVwDyQcuahEeCoxEU8HmXAajNcVMVNork8gtFNKjCfIO3Efo8LE9Fir9IwLY2SBfIKoBxjZMMTFKoXD6SOt5KoVx+dTPtKOEjuSSLW+LsawchagNzIoExHXJfnxV0MbhRtZFwDZiaI4gNH3Fago2dqEPMHtRYHsezGxNTMbJJbQiXAxizCPGMFMydGkyBkJMJ5UbFEGJWabiEwmfnHsqM5MMxtEefgmCo3sXFEbt/rUwigYG4a6EJfWjBZlmI/CgsdQJ8tT5hLH0UDG6cWMRiY6+hmqIZkvavG+MftrM/AuM1kggLPUVjcuA8UDDU4aKBDV3bD7m4KEV7E/16HqISrmmh9gTmOOPtGOt8jrixWWI4O3bGm5x9Nz6jET5KbYbZca5U6jG+I+z06BFY3HMYQNx7mHGAHa5fa6mF+doWuEbRalkEXGjcdkDQxzRLCGqELcXGFQchPd6y7jQmDIZitvrBjGo89jFfyZeHRyA/vHCYwlxvuuWb+6EaE+ywUe4Jvc5E/D8i5iNzL721jMKLCBuNoDx6IimbwvN1hyLRZo7Zck5WcsWPCczp8GvZ2jMZfIMx5KjquXG/TnFnLS48PbFiJjND22qMOOlBLNk5GXi9oq8AC2sTY5IVmjUucaM4ZlUEuAgs17gWLwx5IEcie4q1C20CkwKFi+vqqo3omAzGf3cmQDIGDRrmNbDLXYVGa2C8FDFY2eZdF3LSjSG5fLmbmbS5YEs18njyQSaBMPoNQBJMU8fcbqHkriFMtQLPumusx4GyxMa4xMjFQ7bS7huwYlsycK+NMg6nAcLXC0omYMMZo5qWT2MRjFagYGIijhWGgE+2CrPt/t+LY5MZA8lh5g8QrW29S/KJzGM2m4CrQZXtmEH0H6Mn23C0wn/6Mp/dhMDss2ZpuK2jGYadMz/EDsIHM3OxuM7RQZ+9S4HcYE+PJkAJGKp8SgJUYIZUUchSXK3GWgGai7CDI1AmUWYrS7UDVQcHAhyt6BYCM822j+MupfKjdlKLC4oGWGHV9GNFmP2WhMeCXMGK5cebS4mQbLTT1Cewhh9H0cTT4dGy8xojNWK2cgTm8i12sGFuV5gH/C6b8MdC78dLk/8Aqzu36gNErZ/dSgWmRQJ+5jIZiyKck/TsrNjG2PVQyK8CGxTRg2OHkfGWUmeAwqASZqZ6CK1Nsp2Jmo01OoswYhdgBiumm0NQJcGM7IoRW9VcbxJYyzCbmxvGTRIgPPoCDmdbh+HIn2wwwzBi2hNQmN2JmPWYjL7E8g0LjWZiWNyciQrbfHzkQKqkpPkYEZgw3MBBitqbDTHRUdwbMX3D6eI+y9Tk2Z3qf+fz12dT+pbHUUGLjckmfA0bHkWIPP4qLdOk+P4122BWBrjlRjDVCzLB5grUD8EXGYUtyzZJikWmTSFxlORVUi2h5UEBQJQEyDktK2ZX+Nem/cPYxzcfxgPJ5fDgi46De7sBtlx3YbyyIuVOowfp5cMMw4NgSFDHjaXGMMU848kDQGD37gFT8oePyRwwLDIHEqwxGukU/G29kOFiurDGw2Qih2uL77uaG/Od9GbJ2/8AO/u/FjDOqNKVFDcNjGSDwVmJF8l7ifa5NnxmPKNSRewriUxhsQngckkz3ALAOsomBWY6VG4nyDUFqCSrIsRTMrXNRNUAYBZgrTs/sCjk8seQlZg8mLwMY33eje0UlCGLH5KLBcqZkOJ2aYMfyMSACY3sy4xi8gioDUTJFe4DB6vtfF8XB6yEkEVCAVVZ8XPxlZrycalkwKIqamGbCCuztrB1Aj5hkVm0XLl+Q9v/AD/7rOLXktlo/JsEyzI1rs2hewWmxiNA4ENbft6BSQq2Ub43bdyPuqjzaqttr8rckWJyIVsckUJtQszaiW5s38b2qwtxy7YxrjEduSZcysZluYuEJiCEXHQqcZ5yng5bl3EcQqmQdd0oxHpzWKVcMYwCALPjEqaz1MbxHm/H4A7EwT2GWa3D6HiCbVWhHGNOYYDGmoM/LZisz5ZuTMblTkCZx+iWHoTGxOk/8/8AuZD+8zVOZfkFueouRdTXYVFItwKUwmY1uOLKLsSzCAcnmKY7SiRjpTt5sytMb+I5n5Y3NhBUsB1I2VGyRlONrNgBVD2S1h1NseXa5+DZZX1VATMgZIG1LZTQSZcVLdQNzjViVsTKgy49WxnaAzKfId7h5FlZ7nqI8XJcBg9fmuYPRjC4woaCDChnwwY4B2PpfeTJrFaNOpyatZgEEBgMDTcEYkxfJl5yN7OYkDg7URyNjBtExwhNzjIDRSax6kfJDtAwChiUHZdTCtEIdFitPz+bINlmpIyAAclkXYYsKlWVox1Zis2OuKzjQ3CBNQY+IGFiIhIgGxB8eYyMZo0XaIbGfGUOFtYrwNENjNgGSZcJU7VB5N9JW5yhrYeojVMeSB77Dnt+DPyRcqBDAv0fhT5ZSO2bq/2zzB9IgmA/u5f5loxxr3W4AqtfyR/CK1E5Npe0dR2QBnAU47Bgl8D17gm0NQwzaJts1Wycas4bgYcRyM2IAUS7qVhiKpGFKOGZKis0LbDRckdTjdDMTUAbAaFudgIk6gb49aiExDEeorXMiDIvVdKyT1AYFuMK7V2YXLKwU4Ioq1THkitcB7fgwexAO59L6jmjfm/2k8ZvdwQQdwe2D+bKazIfLI1rdgFqdf2wKW5W0CCimsA5J8UcxiDD7PEa75MsFeJU/wBORe8UFoFTHCRs77SnosRFpxhaoz2R7dti7KyC5/nEhEKLHBSb8FqOVtoFNi0i6/HcB2msBYQcjqcREU0MTWwiLNqhAdep6co/oqZ7BH0eJhSptDxFaY8kVuBLlioPpWGVuPTk8MfLO9kGCXAZcHYTp/5s/wDMQKWXwCRDtSlgXu1ly+eGZVLM66EC2UBjo235EZRGYEh6OwJYkEYrmAUcnM/AMthDOmTYDFsWxIIsaoCKs30682I5Ihy7BRMg1CtNpsXYTIKnIm7Ur1EaxmlU/plaY2BhYFlPDoHXqOibHAaly5X1a7QoyxHiZIr3A0XmEQfSJ+EnULrHycZct/RsYHgMuBoDOmP/ANGX+biCDiXwp4mxM5sKYIiYyqsAG/kHBZ7imhkvZTQMUiOaIcg/61lXGNEGoD5O4rQuyUMKPojnZuK1DMRUPrGxYn35NGGhJjAkLeycQ+LjIGhayK22hXZUqCp1C1nikqRks7TG9EZLlgzq+k1PqAwfWHMKpkhD4pjywPtEPEH0Kebl8M9DqOoLh8m3/DYwPA06Rr6nJzmURhQ511uIJWxvmgINYJSgN4t8bGMCCeCOY7KQHqNkFDkYlgSj8nC+m4j8y4W5dp0gJBQRtgHHEa4ISTMJUIg4BqYzcbVouPj7ckY8eiOWosVEUwak1M6O6heLgbxU8KKVTztyKZes6bTtdS/rEDw4VaY0ZIr87eKGDuTTBuS9TLk5d9z/AMa7dAT+rysPlF16F7QrUHirE2pLFKAepdhXs8lgWEYknaz8nO008QKdcTkaBVDtRPK+zyIeIq7nFj2deBlVgBkhBMJrseQANMK7MRrKsXrBcbguh2AMryKETEAUQ0lxLMF2j2TyM2PIjUKIMSqW8hZVAX2G1IOwbpMDTqcJw5AZf/C6m1wPUx5JjcQHs3rJUbJUzZgpyZGf/r0P9zKB87Hm7CcD/evkRDAY3lPslwMb+YwvtEosVW1WgASceKj8gEZ7BMALQqwnqE1CYuzzHiXGGfl8hj1Axr4iVo1p4czoSNsnlAtQ+M3JhvIWZtsZuKLdveNPkyPreya48msL7Kg5YlW6ohsCzIhGJGplJEstORFNkMRFeznwrmTPhbE8B/4+5dTFkqY8lwGM1B8tzNlCk8n6K/4CdD/bzJ+7ou2nLJUqHmVABRPC0oIJB9iawCECvQXG5CKqxmSl0qgS3HYOSeIfXpcNY0sVlbgmcxTTMQYRKMKTBxn+1RyxJupZ2zDxVtYNoz8K37gRY6JRp5ryNTHXdcnTmtWBRhq6aOGgaEzGtzYRzEbxyY1yrmx/Hkl1B9R7XcBmN6mLLcy5PHkluW+iv+XQ/wBzJ/Kz8K0VgWet9ZtAY32qwmViYFEJXTXkJw+MKipA/DtGybMaMvSE3PwJZjNwq2fi4PGNiXCnSOYX4VuAeTQlzpU2f74VCpw0bxU8zqEcJiQaCFovLeIQ8xTzsuqAWDzmsq7GBxGnqK814U+KkbWC32wHjrOn+VSpHb1Ab+uuysBP1NTYsdWdGxsh+quw7D6Og/t5f5hUE35YiiSILsRiKQAx6E5MXxfPRmxMx42cAaLbFSw7Bpds9AswotPzrsyqFXa5keAkRmM4icw49IqbADtgT9giiQIfFvIjkB8tY0u58YZk/byAAhR5PBcD3E9UJ1eIg1stimXY6jG5yBoapcZp9QqmBiIr3CquOp6f4XBh9huyw/TUqCXUVuH6dWjIV+i/or6eh/t5WrL2BjPPwMTalWAE2DTSxZMFbB12xY1yElFFhpsVL8wXVCgpEY3FFnIdjrrOm9/eSAqkxnLRtoomFtYx3lleyAtkWlGRp7Ue1CzInhlw7LjGrfgCPZOzIuMlndTPibVfGY2LHhpkx7Lyk1NV5ukx8OFG7nWGLLmMeMyY1yp1HTPhaa3LgMv/AIDspm2wbp0aPjZDL/49F/by18revS7GUTAtyzXmwE1FDiegiF4OmMTHrMvjGuXR24sdlbwJ41uazDh+RE6cBXOqEuI02p9zKMAl1PEh04vSYlLoEEeEco1R2LRmOoNNTGXKAjvOkxma2SQEADTU4yjc5XKh22nmSUsDEdGGjdMRsx2ZhUxCfGScZ479dh+N7hUPOVNwd6+kdgZtFy8NgxZJkwtjPe/p6H+1m/mGNmlMAg8OBisCKjtMJ8stb3sdbCoDL0iZOHfaMSZqSKIhe1Eb7DxNeW+5eZifVt7jHnbWNd0WiUGJUNjBMuVCE0yIawuP0/8AkDZysOPwFGZF5WtkMMUbFcS5XsKMhnLQoQot4ognU4wyDZCH5BjorT7ZjK6qhaA8ia+XfLjGVM2JsTicMCCkB7D/AIjsGqDJHw48kyYHx977Dt0P9vIv72N9RdnaHYBKA3ZB7msS4MFTGEAyazmXUNzHroPeRNYD2PLK1DiKREQAa1H4l0d7b5QDWzPxFNSt1RtYzcsbHSL+3kmtIDwpmEzNWuJFLaGacnhemNZDOSdovtXKQN8kBIY8q33N8c/CPUzCmUDXC9KvJ+rqMIzY8uNsbep9wZCsDQGX/wBAYuSw3So0yYXSV9HQ/wBvJfzfHP8AQIWM6hdmE5I9wkUicPsoStXZb34LQBmhQrAZYKryWughnoIql8eLEgbIIzGMePKi8+5qINm/yhKwPLsIoMxcT8MDBxKJABSe1RbyDLqCTdWhFH5mpHMO9oAJlYNjQ6BXm3DAqyHWA23sslhVoY/uVdf+H/pEVLitHxS6gMXtX133DQNFyx8GPKMmF0PboP7bsPnLkRF2h8SeZ+ACI2s1uKwvLmXUEFX9BSFHoEiO/wC03snhLEb2KCfdP9bGBTCOXQXGi5OCSTtPYqocIMfG+OJ9+B7cxjUoFEU6vxNQ4clMyUTsIQZzeQ+ODxVmgYFb40tcdUeJ1Y2gNTGkAuKAQ+OLg4X1Pz3Muf8AoPtn7qxEbGHFEENFP1kSvqDxcsfHiyzL07Y50P8AczqPlvWCyTjMII7EtSIyxCCXYR/jr8VNjE1MZSMhMbymtxdqFCf4DcIuz/CJxCN3ZNDxscia8X2ELG0ML7Ow2fEoTHkPDm4IWmGrbmZ3XJkA50o2oQWJm8ojT8hQkyclSAgC6qYQDM2PTIJi4Vfuqeu9w9i2sfIgXJ1RaZccHe4rQhcgZdSOID9V96+i5cBiZJhxY/1Gc3mR0052D8giteMeJozkBtTOAL2lRALeI9TK205acxUaM3AAaEUcKh2XGgjkrNhsX8tuFG0oWp0l2RGvZV2My8TF5ZNhXoZGE/NrrcVp1aLeE1CwMLmehtAgYtpQbZzWw9Ajv1IJmNDaJUrs0B7N4tfjv45H2GV4IjVM2GXBK7CcZA6FTA0vj6rl/Vc6U/v5FvMvhEyTXaJi+QhVxRzSlpdlKosJxZHPIjcTmrplJ23cRWEUTJU6UMR9iZWm1RhUXHvAlLYEWmL1Y4KAOWQCeoxsrW1AAgkfEXnwmmwsJrwizqx5CazhIFuFIGm9TGwAHkQxiY5XEMVKPdvSe7qHkO1Dfxy9RsOwiNM2GAwHuDLDB8esqA12H/XpP7D/ANh40SL92X32/wBP9/8AqNPwZ/lPuf1+Ik//AFw/xZPtaL/Jm/jxfZ+PwZ/+f5n4MT7/APS/dDBPwZ/+fVffhmf00yej/E8/KQeki/Uexg+7tl9dR6g7iYZm/lHY9hP/AMeywf8AD8Q9+l/sf//EACURAAICAgEEAwEAAwAAAAAAAAABAhEQIAMSEzAxIUFRQCIyUP/aAAgBAwEBPwEaslCj1iMqE7xKNko14Frxv5zON6JHok7eUrEqzLk3jGxQRWH6zROJ6xGVZaslCta3j7zOVZirxyv4ykKNZnP52ojAS0frVwGqEyMqy1ZKG/1rFqscvvMPY3RKV544/ePRKb2jFsUNZTo629pRsaoTIyrLJw8fFibvPHH7G/jMY2JViXJetEePWXIdbLELaUbHFoTIzrScPFCVMnP8ylYvhE+T8wiKrE+S/WsYWRVaSnRKbeiFK96HxlkJ6TgV4Xnj9k5dTzxr5G6JcjekY9QoVltIfL+F7IsuiM73nETITvScb8aLykJdKOR28r5I8f6KKQ3R3Wdxjd7pNnbGJikKbFybSgfKIT05IffjeYySJcjeVFsjFROpD5SUm9FF5ojx2dCKH61UhMjPWaLohO9Jxp+dKxcaXsc0vQ23tCF4cEztoUUtHJYo6SsqRHkFK80OBTiQ5L955I2V529lxi49HNI7iHND5TrZ960jpGsLko7ouQWGrOmiM/p5lCxxrD8FbrjbFA7aJSUTuj5GdTL2Xh6SsQmXlojO8yVjxXljKh8v4dTOp+NFeG8psjP9w0N0R5U8T5Ppf3IocEds7Z0Mrw2dx57jrFZofkopnQzpZ22LiO2ztnbO2ds6DoR0i1o6ESgdDHFrwViy8JeVQs7flYpX4aJcdnbJQa8CFleNTaFyo60J345sujrZ1M62dbO4zuHdO4zuHWjqQ5IlFfXgS+Nn40xSYuU7iOpbSdF/P8seMaGtHheaxTaOtnWxch1IlK/5YQ/cOSQ3Zelf8CsUyitIwbFxrEp0N34n/LRRR0nbYuM7aOlHSsdKKHBM7R28znW6YxfzdIoHQKB0rzt28pfF6IrSh+G/6Jclehcjbw/WnT/hpH2NDWIxsUUiUENVs/DZfmlOhyvHFH9zL3leh+8xlQnY0NHHWZwsa2r+VuifL+Zgrej95h6JKn86QlTw0ehSvLimS4vz+jqRLk+CXI3mjjjS0l7zxkoKRJU8s45/WKH8EZ6NJkuOvXjssW3UhzOtjZd5SIx15PeePHIvnRMg7WGhojOhO9Jw8a2nK8uR7ykJC1m7eeP3jl1jOtJIUqIzvSULO2x8VIaH4bR1olK8uWiWIRrWTpacfvHJC/nR44p/WWSVidEOS9nFMfGOJWiHOiU/zXq2j7K1mr0h7w3Q3eaGRdEZJ4ZY/k9EOQu9nFMfGOJWFq3Q3olYliMa2nKlpD3hq0OLW3Exsby8RkRne7imOA0Vq3eiQsrbk9aRdMWOXR4j7HLTtuspimJ3u0mShWXIu9EtEvjfkeiI+sS9FaJaw4/t45OP7WUxSojK95esPZetFvL2LK9kcy8HH/tpL3mJH3vL0f/EACQRAAICAgIDAAMBAQEAAAAAAAABAhEQIBIxAyEwQEFREyJh/9oACAECAQE/AcRmNWNDWU6E71jl+x6frK0eqXyoqjlvGVHY1Q1eUxSvVMsZKOkdlrRebrZRLr5KTQnyQ1Q1myMtbLPItEPH61vPWb2Ry1ovZOhNMcRrSMtn7Q1Wn6x+t0vgonpav0WX8E6E0yURrSMtbJK9EXWVohvZKz0hvW9a+CmOP8GtIy2eUySyl62v5XvWGt4SJRsca0jLVrRvERuspYeUi9b2rHoXRxOI4nHaMqPUiUa0hL9a0VokyWFi8pF/KsXlZoaKGtYumNWSjWkXejw1hD62r41my9VOheQ5l4o4jgNaKTRakShWYui9WNHWesUL0XvSLS1orF6WKZzOYnZQ4o4Dhpysccpilhy9id5awhuyqL3svHotFl/WxeQXkQpJ4lArRrKZzwnQneawvQ3teLL+lfFM5C8g+I//ADKdlaIsToTzQ/x7LR6KOPwTotHrLxReEiyL0rficSiikej0ej0ej0Xi9rLOykcfhxx6JYSG8RFLRrNFFHL7V81Q1o/WqQ3WEhsSL0a0vFfRFliZZZZaPW3ZSG/5uxI6O8SZGWjW1iZ6KK/OrKJOsIutGvimWeikcShL8XrWjo7KOsRlq180/rxKOJxOI1WaL3fso6H7KEhS1UEf5Dg/pRRxOJxHRaORyLLxeLxe7VZQxYbvENLE8SgmPxtaVlYbORyORyL/AAl6G8oaEqG7KKI7J5/zQ/GkVh4Rf4MfHY4JL5VSw+s2KQneyZY5Dd5Y5XjkxS+0Y2KNY8kv5u8r/pDVYoeUxPbkXpPvRd/REYZnKl84uiStXpWbIz+XBD8X8HFrC7+VCgKFZsnK3o8vDz43aJw0a0ToUr0WK1cEx+Kt6OJQlYlluiT1eX1h5g/Y0SVPRxK0jLDEJbvrZLKiVluhserz+sPMXTxKGkWONko1pGZzRzFIvZ9ZooSytHLEnqh5XW3jePJHSLoaslCtkxSFMu9H0JCWvEWjY9k9I5eYSoQ1ZKNaJ0dk4b2KQpClh9apWVo3Q5XhvZaR6zWULHkWsXiUBrezkJnLWhZbobv4rSI8frTxS/QyT1UveZRK+KlmiK0lLR7rrSPY8tZi6ZKWspfzEJ1lxGhrdYWFpLvR7/rSPY8y62WJdaR6zPse6P/EADEQAAEEAQQBAwMEAgICAwAAAAABEBEhMQISICJhMEFRAzJxQHKBsWKRE1IjQjOh8P/aAAgBAQAGPwLV+XhT5R5T9Djl1QtDCEexCN2KFUhGw8+6EelEFlN2QosxKt1euCKRxpBF1EIZJ5ZaKL1FZMErnjBp+DX+5SmyRlCfpnZFRpT9NBfFKlTD/HBbtoNqFFtJ2OqFlkyU1lIQdUL4Sb0bNt5LedR1RCC/QleCalIJMvR2Q0muv/ZTsQi0T7FtCiorSn6SirVqa2nUQhEkt8vWW3GCEQw0IXqaymsvB1aY45s26jbpMQRJCNBCoTrw2eGCePwh0uTvEFcMkF6n0mv9ykvbWQpbef0cviiiymleFlE7iJssg7HUlpEayCH+5kJVWolkTSIkEZJ0nYppI9ijNnZr5ZPBu1NRRbUXw0mtP8lfBaEo1kKddSHZC/09lPHy1vKqZPBkyYOxB2KOzYaIbJ2wdVkswUym4nVqJJai9UGZIWiraFKEeyTJME/UI0tjhD0UgmqZ1Gv9yltBMtgt1RrK/TW9CKqkqpMtkmTb7kFITLS94I9jJS8IQ7KTJ2wU8Kj2RpLUok8ltTUYbybEyXIhCHyVxsptyoT7FGv8lK0vZKko/wDyaGslPXyRwohpZZyZLeiVaE4QWp1LaiS6KWy2j2MlkJkk7PSE6njV/wDTwrU1mCEJeGpOFEkLRKrJgo00av3ERRBkgnWVwmSzdoWFNqtKfpJMFo1HYpCIJXT6E4Q7ailaxE9kIMFoWQhknS25WswImCCiVMU18My3Uui0srh21QZIgkpBEXTBRKtRRpQ1/l+pZUqhScbUg36c+7yn6auFtR3OhCpDSonVOMKeGsksy21GvB1dFEXWhSFlvBPsUfaSp1QtWhGmTJ4PBOEMPTWbYOppNf7layRFNryQghgqjJOmtR20tWfWz6GSka3slMMkkJpxzjjR8llESZ4QnKz/AI9JSGCZtogg+VLIgpSIJ1/64ZJXB1a8shr/AHLwQktrJTBfCTsT9NURDt60PTS8kiv5LQ7KbtKyj0QQWZo+BIQrT2LydmhHo7EE+xR21FFvho0nZL+SllOdaFU3a8/Hq6T6if5K8v5eC2hrV9upCFL9ei+EGZaDJT4LKZdSLBCmTMkEILqL4yilkaUKyWrZLIV6aIaS0KKaVw1NZTTxo7PpPqfuV/Ddjq0rwrkulRdKkL+pwQZsnVqPuKXiiwQQnCCfYowJDWQ2ZNzwiNKtSHwZlu2CNJJRb4bHoafg1r5MCm1WjhD00kcN2n7kayU9KF9aD5QssgVIJgtur5IV4ZEijadTs8P9pb9iscF26SzDXyvhCWSRECQsmr8kex8illPTW0NKqUSrYhvjV8kakaU9GfchfQhci6S+EnsSiyQovy9EGWp5adSnVGklrUol4RJJVCzqjSZgtvlDrwsop5RDsex1QvJJpg1Ivy0m7UXpPHKnoweGt7OushSU9Hcno1n0bbBuXTD/AASitO47KkEwhKwKstDybU0laVPtEVUggsrSS0KsF4KwWSUKqq0llPKpJEGI46T6n7lLb4MNaGClMEKUr4Ke2oyWf8ie7SnoR6MyJwleHgo36kkohVtuxOlrhTcpBAsspmDdMkRJuU9j4KLaD7kLJIKw0qh0NupvB8FK1kaUgqJO2XyTkSEPqKiT2Usrjgqi9TWVxp4Msun/AEQrSn6SlIf4IQncdsNhrUjSkncpTL0QShSFnkzwWcmbILUl4QyQhQkkvBTR7tkgj3LU26TROBVT3LKf5Vo9ylI1Ke5ZlDt6Nt20opu+kl/BZX6OSV4Srzp1UW27BGlGvJnJG2StKk/V/wBFaT7jMqYeFV/Ly1N4exVFRVFaS3y2FJ3HZDrkT4FRS0n8n2oSiUS1vLZIgxRmz7S0JLaymprLSzb/AK9CUL9emgiaPwJx3/Uz7coVT5TlK8LKPteVUpCEerOy2dFlo9xFXXZdkQUjppQ1fnhhCdMIWqFp/JhrJf7TBktpXhT5PIulfQr1L4yJJXvwo3/Uzyhol0XjCK06rKMvGlFMH/kI2krws3QWU1qLNlKIavy2WteE6dRNKT7nYWC2vBREmTJlofsdW7abP/Gqz5IX0KIV9y4OpfDBXLJUNg3qZamko3Fq+SJKOpEm3Jb9rJU2qgiyQjQpJZkyQptJRSV5IavyQQ0vPtwwUhMWTpQw8tDyrWSUjQTq02VhfQnQbdRPsbEwhPKdJfGFweCURSfqKU0y8IlCQJbwTtWDtLShP/JZ2vUQmpCVsnb/ALJREEgtCiC1ezw1FehpQ1flpalJ1YOqECwU2eOT7le38PBuPBuRZRl0/wCiFeuMyQj9clrfFGiOHyrwy8ZUopP5J1WrQpM0QTJ2OpGkhclEllNDQZM8LyLQrWS2k1fuVqa2w0tZWWgThBijtpPthSUWTBZKNDwmW/5NPPdqaX3Lyv0rOuGo3HVMCf8AJgpEJaUVvuI4yqlNBDSYJJaWssXjeTSh9T9y8IeXt7KUyW3u9ofahOii0O1Ih1I+CVe2+zT/AKIXSn+jfow2Ddqy8cb44rjZKvHuQhSGLaRJSijB2X0L5W8ZKKa2mSJtWshMvpNf7lbqkHyS2C1PBSx6CG3UUrXww0xT0InBdOr3F0qbvWteMqQ6wL7IQUQpDwh5eieFENDyU0e70ZKUhW6op9qk612n3IXp/k0mr8vaGbJgjSh5LWH3QpRTU0CEk6jDTxwQZUndx8+xtX090Pk3tR8PLSuCmglreURoQsmXyIpggnchB3s2qiQdcNZeD7UOqwhT4QhK40h9T9yli7MFngg6kqsqWUIuohGpeay0qQQpKtfCmtoMF5+T7lJiU+WnlK44xzzwshNTZKI4bkPjhbSqkIXqbw6yRoQs+5pQ7EmCEOphSW1/uVtpJbRoRr0loU0KZF0kH3WWZIkpqb8GYQyRxlFg7WUinakE+CkaNRu+nXgjlDxxR4TjK0dSFQpIQ2ohuXSRBJgshC2otDBTUQhBZKEkEtZkpTwQW2Gk+p+5Wos6n3CoQS6ooqmSntsFKZKayPbhBHw+7UU0lFoUreF4fCEJxR7LKa2njhG+FFFVdJSwYk7ZaVs8tguim2o06kMNE8OreSFtCUQ2oSIYbWn+S8reOEskEt2Q+HpoIV0gzKkmRPgghWovhtUjV6FHyvDwQUbVyR6FnlrLolNScZfJRb4bDQZajBfLXqxOpStSELpU+xYOuqVLJ0Ea0J2kbVPtUjgsHZC28Nl5ajy1EC6lEN2VexFa3XSufYgnjBCPGoohCWn0IKMlEFm1WxJ9p9lngrVw8CQfngqY4yeDyX6N6UUjSkcI9zulmC0OlIUXqf8A8aJB7IexGpDcqURpQ2oWkmIJkWzspCFlPDeROC/U0pS8ty8ZX0JamlSnkj0PtQpIKUtCYLaWtrKV4auKvKIISjWLDIq+5ORepS23ZTJBCqdjqRBtPBKUh1gnUmk3KUpRgvgpksoyybW3afta+e7VjhPHJJZTSW8kkJxsoskhq6qV2Q9zJ4bHpar9ynh1aPdkJRvySin4EWOFcZMW+UO5TSj20cLI9lFhUI1JyhBE4QrXyotqantoklWQpomEJkteE4/B7iykkLpMGBNqmS+OqflpbBR4UomcCENb0y/BTRAsJzhstbZoppggjhav2RFJ+lS/BGpI4f5NnhKlvT2UUyv4eI49mVGtWheOCUMc9X5KIUl6IkyXxrhlkrgqllcIIJdIUsXUpLyZJ1PEtCnZP5bcueW/VxhsNRJgh8UWQhCNTQnPDSvpwavyQiPSklNJJZZTQYIhpXhEvV8oVoOxlkTUtcd2pr4QoulcKbdWOUqlEcJQn2RslUfDdVkvrDxq9iVmCctlGt5JRpUpsenAiGv8kJwyURhqMNk9jJktYPukhLLIaULyVwgw6tRKlEtROqkOqc/BgjUh/jw3a+UQQ+TNvfGlLWTs8tEkGCiVPAnqaTXCf+x8EIpRZEOkH+RPueWyQfapMEqqHZp3EvT7TD4KPloJfw9KQvDwQhTQqSLr+l7ezTy3asGOF4JTBfoW3VrQrL+DBSepCtoT3U1p/kvG28k/TpRdX1FnU0KUhen+T4IU2ohZJJHGIOqWW2SVILOqHk7EFECIjW1EEEEcq+1ccpXBCcbK4+XhG7N1PJuUj3bJ4K4wy8aM2fT/AJ/o1x/2UvJSFm0lLMHdJUsSDdobcjZNxu+Ts0Ekco1ISmCsNCcPDQnLBIpMGOMC6dWBLlF4btRCY9eWhNJZJbIsElmfUW3+n/P9CrtSZOyIUhaGCJKJVvuspsnUtoSyCi+NI0a8nggoyRwRCNKELBXCzDSr21Eqh8FEKLp1NeDbpxyhfTjhaEQdiCFERE9GxU0G9a4aP5/oWfkvBCNAqlI8kiymSjFkoWKiC6m7Hyh2k8EIUSuTdLwUZ4QbSBHk8mZ4SpB8oyIhtRGo7aUU3aPtXlZgqi+OPUswTHKCCVy1HfJWs66pO2lTR/P9C/k6m5UKMkLgoVYazwShhswUZs28ZJNyIKqtHC2lqtk1e5uK92s+DCttERp92SSUanXSoqfqMlKXxiC2hFvnYmrTpRNRr/Jk2o8lKQdlKKdZy0xkxwvJ8lisp1a2l09yqKbayIWURhSJFVqSxCYZBULPLTLSlKYj0p9W+aE6SNKdi/QQ1/uU8vJmiUssSzc0EtC0QoqEEcL4yTBuQkwT8F5I0l23ktaF8FK3kX2IZaJbs0opaGSeEKT+vlPR0mv9y8ZmyiC1PuKUtYa0JQtTq0lHkos6lnhpQTaj2YhsiEbcFCbSV92osogghTy1mRFht2n+eEy0KVj0LQ6KRqT9JCe3o6TV+SdJZDwYezJHsQliCooqNZu0vg2wWosmCm8CnhvuLKKIF3EI22DbqaymR7R6QVFJaymjUbtNp6UGONelvaE/36Wk1p/kr2jy/Zu2TbFCvKm72PlClFkppaBU4QhHwWK1UU6QRJT7TBuIbtxV5Urhv+n9q+n8KeDJBXKBWkv2ITHp6TWn+StSvSFkQSeXpTdJZJKtRiySz/4zDSiktTL5afZscPIup8CytcZKwXwQvLRxhTfpx6cKToWDt6Xj1dCfn+j6k/KtLZOqklMqpx7FlNMkFYIRJUtWy2WVVWDtg6IUQSmGslDNmTwSpCNeCVw1Fl5F0vZBBfueSzyfBRlrQ+2CPb2/RwZlS/V0fz/Rq/cpCNbZMuiIj00wSpTQheSDLUWU+zShdqfCNJCG6WpWXSuSENqvCIbNXsykexCUhCEQQeTyW+72ZV4U0KQv6Ks+vo/n+jUs+5dETT0Q3klSeHgppTSJOXy1KW9nlXh4MkSZEksn2alJF1K0iHwbslZEpkggy23VgWyH3Mio0akF0r66ir7C+vo/n+jX+5ROFcOwl021NJCmSlt55YajwIq0jQiGDc18N84Fky6GKJl0Q2o1tuIITLyTqKJUhkQhMNv0/chhq9K0OmmC1IRS09fR/P8ARr/cr0jUr2WjoS0qpMkwWSjWVgh4QR6LbaiEK3YU0wmSPYsp+xRCktIp1aCG3pgowIivDVlraNSSf4rhpT1bJ+nn4LT1dH8/0a/yrVw3GCWlkk8E4QgshCV42bUfFPWS0KFX3aCxENiNL09tQhCe5Dy0SKilmSVVkIeH26j50/LUX6vZJOiwpaeno/n+j6n7lfBKo0EGCyJamiWprSimURCZhChV1KZI0lkktRbeTIgmtVbahRCnVcG3lvOykPCnVLIXJDZadS/h7KI4btOFbyX60akk69VLT0dH/wC9j6n7laFFhCChVTSXRR4JloFKUslCSHiRGybfZoPkkpBNxOkVSNSEnltJYt0dTdMiQShb3ghMIQjWSikFtKZQt5KtGl54bdRtVoUv14WzrSlpz0fz/R9Rf8lFRqLMFYO3uZNqHfU1Nhs2QVwtkQtCUJUkn2KPHCHsg8sqGBYLUrDUflqZZXj2JQpSCmhfQj3I1JDdiUx61NC2hOhYLTjo/n+j6kf9lJK4U2CsllkoShTwytKHZC8CLBRDoYeWVrI05PJbbkLIPBtJQzbQpOlWvIkcO5MFIfBLQvo6PnhOn9DC4J09dRaPo/n+jXP/AGUoWVg+SWs6o1kPh493lGo7MnwUhamTJjhTUWSrSWeT7hEyfCiopKkIVxWctMiKIIQTJ4efRpccZ9/0Vn/VT5T5NH8/0a/yYJ+W8NEEqWQhEWKdijFnw9tCksliEEFrJPsRGBdqGCiyGhcEIJBKFtRYq6fYSUwdS2lHgRdRJBRCspBHpSqm3T9pu08v8iF/RQpp+popfg1J/kRq0lN2OpLSlG5HsnSyam2tBZHsYJ0o1lMqlFklHZo9yUEs2oJL2j7iSSEMiiCKns0mC3T0Jejaivv0Y5Qpf6LSfUj/ALFim4tXlplkkpp+Tw1oUat2SiPcVstJReCidRTTqOjpQit8EUfLSyCNKkpxhC/VnUsIbdFJx36P9co1Hj9DpNf5Vk4qJyT00NTL6H8CCcVEdP0yc9XJf0Ok/8QAJxAAAwEAAgICAgIDAQEBAAAAAAERITFBUWEQcYGxkaEgwfDx0eH/2gAIAQEAAT8hd9mIPoTefiv/ABxaE6Z5eDiCxqOfHHBTkTYxikfgPozyVI4YxxRfD0TfIawRvjBDyeo4PRrXQrKMFtJlZl6HegrXSNCStMptYu9kOZmI4gCXnTVBkX6ENwkIK2vBCOzkrgo1SwflpkoJEkUZTT/B58oqUXRFQqrDPfEa7fwLVyjWfUeLBqQFoaSIdAnj4G4IYmE21LBy47EXjyU0jRB6MVXB3qMb9IlY8KlZjHCOcCzC0oK1Y3gx74YzilCS5ETFcSRnLo5FovJDSCDsw++Wiwi+xjEI24F1ywatNxEbDy/f9GXNX/6HMQ5nR2PJXmQXPdeB9HHskxC9hIM7PP8ADIJNMSXAWDGOYKlG5CaaLjRc4S2cin2NXCSRCK/QSbgStf6FLzRV5CT5+GDYqkgm3TwwwTzXAu5USVPHg9H/ABDHaeDI1yMss9m4btT4lyD4nod5SPOhpcCKuBTOBSoaBaY8uRDtciOSl7E2ejovEOxo1/RT4y6Jj97PKKeqLghppUN7YNrgd4nJqiCJEGhvb/gS+DXYhdFsFVJyNnsyGE22PYedEe1d4OQPyKVCMBIUrGccCi/UGn/sEeLzf0PXifs+K4uRPWhazBoHZf8A+Css6ZronsRjRjFjKovwysfgNOR67FvsXNZxCUXOjjPfwoCSx9wU7z5HiY8HIm3ErZ0b046HFEig+xW4wlRufYz949iY8mykCeGsjWMcTjQNk4fs8gynexobqmPgwVF7IZT1C7JKKmcAvbYhPsOR3bfA6W2vpFlwkU7qqIT3BGvASyUqZVRNyyt2RtuvsrNpZCb+jiwx5SeJxViXA86+5w7ogYcOFocPwBWGj2WIpnJFOETF9ASXAIYu+WZcwZUPDdG7bKSO+x8aXwdcRdRFE/f6HeKz/YPHAUoRdbFioxnHI3JjuQuH4ITj0/PzCjJP4VTwYPPhpQjuGlOzUPTEGxaRC+WPQ2Mr2KrwNKxvEPBYDVnkQmQtmjkNiE/4x0sTGbTVFbVErEpLpC/Q/BVQmBL3yZE0TxUQ7rMY1yPH2UTWyNrDPcHIVivoaGG9wXl0lih/ZNF1mB0N2yKQt2SxDlA7ORVPyagdAGJTxTQNa6Gt+BywnkKb2U87HEGLeRsbL6OiHMMacVDLKcjvJ8nMjU1Dn/EQ7HvYXICLg6BA6FGFPo0w8xD/AD/pk2/4ZguilMT2ho6ljt4w9nwhesnDOyl7P4QMwOXk9iviwgL4dGirjGoOYv2ToYW1YLPsSj4nwI/Gs4EJZ0IskobCWV4EkkTl/CdzjwzDHqgRixC7muzXKJIrLTlU3xIwjqHUbfwNeNInK2ujxHBWRqDqMJTomDM2ClrV0Vk0HVF0K60QkXFE5/wFJIQkdlEInwCi4hskmhpnIh26iXbOFkETIjmn4jvT5E23gbo1UaTRJcOGOsGZE2skq4OQ5hnBsXCERgkKg2mjxH6EmSHbUKcLlnDKjpNCdDpLTktfY0EJt3V+wabdCFi71FFjwXVcR2kkZZ6yV2QJatRXAS40XXgMoGXwhBqHSP5Ar0WkQu+i0OXaM58lB1kxFn0QVDvYKTLyZuYk3KCeUMfNzLyiEwPtobaFdmbbJ5HLCobLGxd5D6Pg2WonY0h7BheLNMdziO9FJaxkG8Kzp30hhNWfoR6b6Eb6FL/oTi8EKgP7xGLwOGpUTP8AgHaqm0cWzFpQPpMU3obrWozoa4aaV8sFMndMJyVh4TX2JcjGs6eBpyUDLj8ZxmsSQY2MeIryPwyrqdCU0GRVFZtLG/7Ifi9idWJA/jkZ7H1XAjuSvSKUtY0iGHxfaEOnnAl4RoTFzr4a+GreDnggxPDFTBoyfMGtdfY7ZIzsplXNM50MeMKvIJyjPRH0XbjVOWLwGEoUFDxiQnJWh0U4MnGljJYdpifMIjRnXBDgRHl/I2DKGp5HjUNU4k3ycZ0i8kFAlLKfY2mzRy6hgLGjdcoxkbAG4ufiZRzGY7fUFNxCMsn2JzWiDRU4PyYdBbwKkcUdS8CdNNrwIzO/lMRz5PNpnvgCej2jPtk9FWxjLhmS2dQ2Zal6NM/Ib1t2cihwyyi0jCd/QzXiv2OLgH/gFz5eCcZg+cXSE2SGaE6xjzeWLdfgJOOBRquuh7eVMQiNpjRlA2SjU+Icnp8KArsdQZdIe9aJhdEChoPfIaK2mxqXChS2xmLHZzSLuQJ6W+y/+kKrmJnkiky9irA9HXORpwxM/JNKdF4JXZlXUsMLyKi3sZWaIsZkxa0wWtMRkXY0bVo7EnIlb7ZQjX2xOjmLsAsBQ2KNGoZZ5FK9IlICblYyWaYoVd8jcynZPZykDK2fRyY2Zzr0OTPsLfgVr2hVpI6GL2/QH0toXEp+SV3CDWfCBqEpgZwISmsOvBqijmF7/Rzvf9jYUqm5t9kbWfQlPCg+VyFUGe8jRJpFJt4iC/hKa6Mzx/I9hq7FeT4IOMb8EuDoa+EM+IEX8THnwZRCU6V8KJ6xLLnLcHbqhEoZHjH90jJ8NC8CGVcBNuIO9TGw6+AZjQhbGipML0EB+0CfC+xyfAzAYqFZK4N+oRINd/IK/KYeIpWbfsvax8MHFErERF0uJdDV1vgbvA2bgY2pnOcsau1BTi0Pdjwj7L7QqZwDwXTLamY3+BOKWOvZELQdRQarALcV/Yo4SQqLn+ROxMLjVHON+OhGipF34Gk35/RT/wCDTnDYJFyOsKVlfwNzhkHexXoTFwEA0SiWCsCmMMy/q4YyaYvcHMIoDmjR2IaGQiIhYKMtfGW1TMaPshrcfxPkOPs5suoRaIa1UvBRt7FySJFKuDHokcwPJJCiiPwTUufIuGGfMkHMdY86awtsdQhrReNfkdp0TPOkF2yW4fddndMLQmcBUmUDuZKGstDmtC1aLm9ElVfAliUYlHUPdfJBVoV9s2+Rptb5Nx/ZmuPbEsglkTRvsYttPtkJJ0NusKJAlK1M5vr0LrdA6wedDA37aNr0EN0LLfg19lmaB4qi915/QtFr/wBDTprkpx0NsRr8j6pybRIjqIcVfkOnWp4Am1B+l+iaJPDIdE14ZTdHT6IhPprs9gGkZLBY+INDw1OlS+xY9I/ATpwuRV+RYGyB2w5TsqlFZ08kF98H1EhKtEaSa45E4WjFaM/oh+wBtLWZBPQmQmEHqxLzX2I8xwVyeCKc/MEllb/Qk5hxqMyaSF1wM6piH1WC4s0a3YogUnaQddEtgilWV8mgkuSHzyUm0K03eTk2eSerg1L8QiXcFJpJEzeJaPxRNq2+DgK+hbqP6BtXQnGQfUX4G9v8EB7BBgixCp5bLAjWiklXp5w39D1/wqScn1CUYxUV8HUX4w7N9jujECRmXfZOotE9HFB6v+wWLopx0P8AQmNqHOn5OLyGO8Gs+WhjJBVyKixfQuKiNTCxiHwNQXa88GBIi4RTCRQyNyWb2gzsSlBOh+zBPQbH7kVo4ptp74c1ZeStcQg2N8stRtFXAo7SITGRMjotalGv3F5yeRQqJ2QV7fga29gm9TDH9R12NeBm15Xkc2ngXsSdVFYwvQizoZq2QLGy05UGJej5GMdsQOrQz5DqHqtozyGPeRqDnunL4g3CuDGFi6pXDLS0uDaPTz7b+hF0/wD0OpUjvliRwYZrCm9yiNRiehV55HA/R1BoWo/YBNsVCtia2mSjmw6fgyhaEKLrLgohP4ZPkvMWMG2Ki3H9kETGpwSMGol9CLUSkg228ZIvsSS045KxolbaWjjJShbNzNS+kNb5o0qHqNJp2MlC5KpWWBHdY0V7zsmoaUswdNwXKEvLjhHCIkOQ+XkYhwPuUTFXiHtisy7F5HIaCYZ4ReA2xe1JjGrWjW4QQIOtHMTv2JpP5DXxr7JPCctGRGIVrMbXQ2isV+hopg3EM5MGmsEaCVsbOQ5ezatnARF7OY+X6Y5yK7/s5jyJ1Jc/GOQrBkpCOkfojdFUrgqiQVmHEHK8TfYyFjThFwgonk25EQv9qG2mYnAZ4h5xaqIo2Qnxoj2dUCmoo9OIkNENUyIkIKob1tHhStCXQ3DSwo7yNuBxx9RPur0Vcv4I6G9gyVXAioQVi3SBLghszdGnIa4LGpomc4lBN5wIF4kk8OKXYa0kFtaxZWPFF9MWKX2xo4uHAGlm8LozyKHRD1cSRRB7iZSirYyDs8IbVcRUxfI2wmKnkxtJaUtMKuippwxiYWjRlVUxsUTwHiXoUjpXbZoo/wDwfc+X/ZT29dj8lobCXHk6FzwKaP8AghNylwQi/wAHpEJLaeyEwTtfCVS5XgrInaoZ16xKaRJ4TH6JdAa5mjCM+nOt/Ezfh9jIxxVScBzaGXIhip60MlwXB6cYN1EPxhiM56FGJBG0nZrfkaCCSZDASReWYsDkGm02GTEsGTfNY0axjXIG6iYgnIfHopS8l/oPQGirnR13CLcElSPyg1V0xuvwDHmhSsEpJpp3WM7FdocgfyKbrMMCQoXlaLqTGbAjwvshfHkVFdpyimpDlvA8JrEjl+RmZOFwIWmnCNfY4q2OuPyPru/CEnyXg8hoZSqvJg3Ahp47f4N+iT/s1W4hBeBvZ+BpF/YiKZbLRROBppNMg9ZzmdxyEo22hDncXB12KcqQjTWN6s8DqjHJqq8iDUa4aGJVTftCM5tY/nVPPhr5Y1M4QYc/DgeYxa+TsRymKeRUU+IokTaOU1i4+G64QntlqTEVbww05omnApPyIwLhI90V5Jtk5HRmGmws4KNdbFogn4YsqheBZHoo4hTJhHopa5Gkd3yVLs6R57R0EKitoI0K3SmwN2SUNDgPyYOcFwcBrGkRHUX6D66/Q2jcGaShjqJW3Q1ecFiDuh1dcCjVRvpaop8F6YhWsrwMEoYljHZ2cjrCFa38/oZLzf7DfAs0uBKXATihi03DEX9iLJP5HCWdUZWS12NmpPYj5o969OPY6rwEUtCwn+CyNJ04AQ9jgQqI6Q2O45CE/ZJC35DpYnnxKTSCwT0COA49hJj+BAcIjW+YU11+jkuThD0b0L8wkX8SMNDmb/Adk0c5JlxR40msi1HodMG9RRyVMPAKds/WlnNh6EO6GmRFgVkEaIj0UUCDFBh9oY4X66FEjeOkL9YNC00JMybiGSRxeTsijPOGNoP5sE7XPyOKeDI1S6O0jGRdYQVojSjmrHtyqPmqOIieNPI8FK0BE5hARhK1Bh7z+j/3LR2ZJ2DpyecKzdGtKhOq4s54o8jS6gmYVTG2YlSiXKaY/C2iIUJXZBvIyZ5FSyr5FOQ7ZNsX3PP2HxUaHIa6GdbHwb8GjwLBXsE38LZKnDowOjGEJ14QuB8N9w7g4pOzC7JJZRtLdGHAceSb8i7qvgwb4SEqX9ijFgvLCL3HxDhr+SjSmKk3XlHPRFTHt6fHiPIYrhY7z0TMTfsbDYurTQ3SNlcFtI0DqpkHxBwbCTeKziTN1FgkPD7MC4PkgdIuXpbRUgjgyO6zhVpouCR9rImUwahqm3jMDSQ6iUmDb8hJhLz/ANnIhrq+mZR1ajo6U6CmGFWtkYeim5Gneihr7Mk0rsUSi9HSVDk7fY1KwHa12LS8lmIj4054McMU5EQseaNdRCwR/O8WYk58jZIcjBromU7z4o+BJOGORgkxAT0OYTH9jFBjcuyG6dYuOj4M76NHotfx8Hmse9DQhXRlWXJ4/RtCRiEwZrG7WKMTyFnNVg+yMnkWZRDWnX1RFxPzTgv6iLkD8anZg0pzIOKdJc4GU0vyKj0YQqTTjfJrMGAZjE2roQ4RNrlkhN9wjjbS4ERkiJOtC5n8juW346p7RTdrQ3C4MngwqpeTPab4QtKlGNLG5ZzmlXGmadY/8M5RIMLOnUUvsQ4mPNdjDScoRVvWejMqoTngN6ZZHIToISQtm3jMPBUtDdchLyPsI641ooL95cj+zq7eR9hnYjgfB2Ig7TKDaXORNsTeiumIEpN9jZVEcDAIOD4gpLWJJvgRJAtXwSHYcMV0sGg8nCkzDkZ+4Mo9D6/wRzKmhxmPs1G03s6oUDT/AAJWcGsHMopqoiHBtrw7ukcGHFclUn2Yg14JKgnYhKtfknwQcyunNRjGqmiqt68F0K1V4Y3VTr8HgNhkG8Cg2EME8CuHnIJYxVZsU7pMdcSPBNMbv/kcxng2O7oetNngjWTm0uCG6YyqK9GPI5a4O0l+i4WvDEbhmWGaunR8kN4yP3LTQloaBIGVFs8CXhi4Y0Y9+FaT47FAvTRlejiVcmsOQtvTNY6zoXi6IS9jcmIaaF0f8ic8sy34LL4T3QcXBDcz2FaSpCREOzSchKcvVPr4mxeZvhlKPmOQbXbx8COiQtJvgtGifqJ8iij2JnWhjcxDEu30SBXgl4vAyeC8CFxi2sdhCow9tEcCMeq9oXtlIxL4K6RQfQibUy5teKKpu2n4KLwI05JI5m3RrOTOf439Ek+/7MxURrmMGulrw9m57hPykYqS8M/1AcmS8DPLzozMwUcupHCFEv6Fw0l5KUCcw0O0qhzUGfbkGsuw5cxlGOvccPEHNDZU/IvP1AeVxoaODHUL4gzCNDS8BHUY36DWGzp7F5Zoq7sRyF8h9onmIJJlmDPsTSiQ+QOUhl06JW+FGvqOqaIcwX/wn3DE8mDQrGJycq4FwA46dD51Y48ISs01jFFThmUa3g0+hbr+TgB7Ypim41iy9n0BhJtQniG10jBO8sXAnwQkYLXDpAgn+CYCR9heBDWQxejR1btEuhHmDo4UYDHVHclGI++Epa/7DOL5jH5B1A9kr9i2pBtqcCuXBhqDeJ1idHbujfyjOAEZJSzSP4I219iJjwTcW4MrMq/AatfyKvmjNpcAm4MDmJdknhR93iHY2s/KkRJb3iE6QzOoUIJwQ+eBr+kfQiijoawmE1QGs1woXQ2yOARi77j0zV7kUstbIwNx7DJ+KQnyLwPkKg9tY26uA0VFR6nPJi85sXJLO0OuENG5NRxzvQsqfkQ0hmNpeTpz6iWj8g6YIdUUC02vIfP+CElSCbCaWMJKx6a0TOot8kc22cu4cFMRZNtMk0/ZFOTG2tah0M1q3EehwlHt6IEA5d/RCcpaNvR3LBbdEynX0TspvA7mA4KJBeh+B9HHl0Z9EeRofMcElTOXSZ2hD4VB/mryaJCKbcDRpqqFKuM5FKNTosUZQqowcjJ4bksmXgcjnt7G3Bpl2IPbppPRibQ1ojrA6KHrg3SxqF/PsT+jyDe5BaxYSaRsWqHpxXs0qULCZJG619hCGqVHU2IPBSQspAM6FGmIZUSYux+BvK7GqmvIVrdfgXY9Jpp0g4eJ6NC6jNMq26L3EgpRPK9iK9+jGOQbqtMfIkQ/VKwrZXfS+J9m6nwOsFqZq9sszk1P8Ardo54JEND412XHMTt2WCVXoVRe/wBDK75P5IEFGkhC4eiiNsJbTWjWEOClLsxdWITadJwGy3opzsIUMbYJXkTXkU9uyNVB8qlVR5kKJGBYOIiaOJYW3tRo1RLGW3E8JiIGw/uAegh+xHCrkpXhD4U8DmwwpjpDGEQ7aN8ifYh+R6xqEhyQ3DwNrXBZbITwbH2IIdMJ2FvtowGcZO1g5DxoSsorJqlH0cAVyoy34hRmJtEi8DhxMb1tIm2iS4RQXEuWYHSElfk8HiPePahPOMGvYr2OSXJQTB6g7NCj9xcZqLuIjJJLTU6aOmE+WLn8n2kTog4jmgqnef0MYf8AoO1W6LYLFtNQjV0dTaxrXJnQOUuhMGGKkQtwV2u3kQVDPli0ny8Cy9lDwFFTKvIuyY3Ywcckd9qNsAlr39lJZDAFKNFr7F6SIlhok7oE9NDzj6vHxXFJTszoh9eDQYg03k5rhD4IejxQWcHaYxodKNEmV2PtQvohysZL0zecxzYN9G3Mw4pjvwJ5oi/Qk3byJyOpDabxZyycY4QU8r2yM/gMj5I++y2+2KqClUGkw4+R10l8PbsTytCoqE15EZGJYsOg+xVEiMg2spp6EqxCkaJRroxPtdXxuEiMDLxpBxvYmH3+mKlVf+gkWQ2jYt1RbwkvorRJplKEyFPkGpNuhTxjOKMJOTekkIcRNlVZqh+I5lqGNMEJW0RC7UKOILw4ZwDGVrF/A1RFVuYTNkrBKimFaZfgRjmiYpwxc90QgYkZ+JN+RbW6KLSXwPGSeCh7FeviQxKWnI/o0GVXMZ4ihmY6xC9cmWRzgdKkGgN58GlNPRTqp7YpqvtilnISy1HqBCsxF7YsBUPUIwxH3A6X942fEJm9YojUEjEwnIi3yNe5ljUcrcJK2N3vEUxGNqPRB2CWk6otaHwBgJGBR2Z9IrSTL6NMHgoz+I5HenBW/Cv6Y0/uxI6RFLrsQjTN7G1ZOOjySuEOBIU+oJbc2eBgo+oXkegNWtBEiO41cco0jEFrRtMy1Z+BPguXByEoksynGRI/uNFg0mox3JTeyIW+RtYhjEvc9DwXCFEvUjuvIQtEaejz8dxzhyYmxxus6Eo8HBf2AS+BQJTN6HqpaNXQrevkT9TehOoQ+hdon7S7EoSUFiRjgpaIC8MXhaxyUM4KKilUr0Iycnpti3abYwN+BW5iGHHJLFCJw62cBD8gbJgY3rt+tFWil/A/omkk3PsSJJRrtCLacMEwWyBW1OjCRQSog8RL8mTTdfRLGBpfkWjgRfA4zJSvgjEs/wBg14Skm4uaOGknI/F0MmiHHrCR6GkLnIj6BeIiOQsGtdhoUhM3yR4EofDE032mw+xKuhzFsFecL6w3/wCA0rF0IysJ8iLuBkLljJinC/waGPRImuExDsqxhKYpxPAbuYStvRHYq/liGP18TR2MQ/SGUiMMaq0eCITciXTKmEg25pDzRU3srIUOBTkHVmr0UzP2cmAWUTEzWnt0JqG5ZkviC33gctvgpIw4eINRdmHBOrH4JamJH5LH2FN1ojqjC9GvRjPBbOaMUX+BOGJ5EEbRjVy9hUz+xrvLBtuQkSOE8CjK0iJqxo42MauE0ZUPhXH7B+wUxkehRDwxDflECE95NRmi8skNSxTiJNv0TbIbWVC4c+S7hPZJHPoIwjo4Igkm98seoaoYZJ232IQug4SEY/YuAphDh6QsvsaIYa0McBRwiaNGzyNQ1Bdi0PxQTFCafQ8p41+QvDobBvRiuBDlA1+CXkyQ2WqEklRLNc8FVTkLsyZkYexNeBYuSrlo41h5nz8Mw7NHV+0woG2hhaKis2cYQSTjkTEggDltFNBsgzyaJbYRnGUQpE3yKis4uSkC3WUM8/ASGqXZFJGN50OoXI1OVHu1hI5EHdcDODFJwbq5YkqwmKmWJBW9Iv8AYI+46aGzXUTus7EOP1HlaZOgklOEVMQoxyC25A1IVL/QppJyaNjdeDfQQlzBs6prydhBrwg7i4ExcwxIrok/Q9yscukhWJiWuRwWISr6QxcGfaUKHWZkmSc8inEQliIx5cDLYy80u9GQsbbREFv7GWSPko8Lbpzyoy6UG4fZn6MiRNCaCDtEOV8DW/gwNj+AR3aGaPTF09sbJcUbiBZHJDg/QtXNMyni0VNpPAReG0kctR4cYwjdD5UDSaYylXh2gOtxGZKbZwFwMVRFbYRqSsiO52hbU/kRdX7FpMLSb/Jjn4w6fCQisof8CJVy/BsLqMG9n5HyiEqZh35HOadTFbvhD7uI3Bqcp2pTwcmvdpSkymjErC/6QbRs9IK9Mpp6LOljwJetimjjbGW3GNMLfgF12ZJj0EF8oF7aQJfkJx4GqP2Q9A00f2KWRpj4/ao2o4/+Iyfifk30WmrDeLhF/jgLeR1jPIlMfsNxYvxqTOHJ6QZYxAGOeBchto9YiASKMzGhDbDz15FFyJcV6LPUsVPzQmjjbfk5aknjOE1INxOi2fBgTNkeTg5ti13kx8bsbrguzCBavF5Fw4NUGJNPwGEb+CaZpjTN56E0+OhKRUXke+hvL5FyMhFYX8jSo6PlBeETUG7Y9P1EGfEa8oni+y5F6G9L/wDYdGheiXNPobAj+DSQWtfBbmzhq3wPWmsTmFjU12Hpg8NrQpLwh4jGmqNtMdJvwNak+AbbizRYmjFCYuBFikUGRTEa1FCqVhDSHonbqqF7hNLHBRuCAFHLwxpu7JlpV8FNDGCmxZPTTQclyIeK3vgZv+YfsYAvuYzbwWLRLygq3gymmCnA2MBOsCbPA+6OA6PBCkthbE8RyP1HZG9iSR9Bi1N+gl3uumIyUTA2xYhAJITrkLOSzzgVtS0umBtu0xw4PRSXCUm/Bb+HFoSoSIXIzXgXUyjgNir+YRDRPCGnJtJtCVAkk1yN1+hUIfuJqw/TEuFLwiJ9ii1p97ZzKK8GS4RMTXsiKp4EvG/sZ1Il23ydGvDRPf8Ac4EF2zNNXZAUCtuqglaaOEExb54Os26NnQt6w1uGz6AyOh4j7OCGTyF+g6PJ2DyxqdGRDEUI6b4Gf0RjY4Uc85+Pi8hKgUoKL8XgekoEFIkM4SMbdNFbMGzOBynDMG0aQ/col1wyr3RSMcS+xL27E0PSwnt/wJuX6Fb2LKxQjesPxRDhicGr8MR20mdQTaG23hRLkxt3jDmkeCu8Qu6IK/DoQf7YlMrErUxD5wewNCSrhGEE3G9HEyRDtpH2WIPEvAwCpjLvXsgKkdGOUaFSQGiKGBf5KUKW7bRoogrstdikxBBSSgdwA7MnkpaRF+Cb8Gc1+RG3EvNHP2LazANzREDdiiO+xs9h8usaFwSUAVSep8oecjf0M+Y1B0SFeRkJBwps4QvsJYvggxsyrGSZerB12U55G0uoVwmxQIoTba8CM2+Brngae4xrF8GroQiPk4UNIb2Nw4hCTeDk86EO0ZTH0QrYk0S+AKnKOm2+jgqt16Dx8c1CX2MclsIZTgs0ujb2QlzyXxH8MFXLRVrELgdpKGxdUqhehy5G1eGPN8bxyZ3jBuBB/kaVFrsiTXAid7M7eBQuPspjudiiSlGuog26M5HwFBmz3gsK/wADEnQxciLeDn9DNVxDU2of3ANXgYxLsYv8VGjt/QubWMTql9fYk9vI2Ga1zFOKKI3eRMouwtL2GZtB3VXWj44mhopqjj4E2NgoIrFKZe/i1glQtk1JFV0NitCe+hLa8ia2riMCidHt0O0Fbo1Imlq2hcTDeek0Iew2KnR0NEr+ZVNcoXXqK8BYxDNGKtsG9YxOoaiNKEHTcMY15HjD00P6J8VtUbE0M9llTDlo04fi9HA+6o6YUi115HjWgk6cO0PWFY8p1wOdRsBK6lyuxGTCrkuj1GhGiLdMS9yYfI5LPLOyA3FOnJwCpgyDU6uRj5wz+A5ycDWxcDI1hr+jcNELZZhhlijk5o5JJ6xCdFBkQT+Tmdip6iHnCIs/SEK1d+EuJ7Q03J34FSm+DcNWkjz9h1plsFOCQq7Qy3L0ciGaItUZVHIvES3HaecOlCChvrosqDXdzsamOGLhHgRn4OY/IRJZL4WiiJNQpsrOJiD6OBtiMS55JNSpVEyI5In5+XzEY0/8IpjUp5fy3DsdisnYtfVfsbODKmhXJw8G4lg4tneG5FJV0hOljHOxodDirRExUU1TRi1XSFysSQkbL+BhgwCxp/RXA9MjhjCWtVg1AfLdE03kuWlGWQlGKmiZBIid8kNfgab2hkscbiX8n2Q4ULXKOahFSglbUuEYnoQ1smjAu5yPa/p+BuTZ/ATDsoHMaxFDgPk5E0fS+BMOdJTeSqaZPLcKh5CUFZspCj3wWtiiXoh3an5E84GAlcyM1NMcSRvbGhyiI30E4gqaqQO8wZByI0q/IkQ6ZwNaTFdGpkv86NlyGqo28h4Vg3YjY5SH2I3r+TDTUi+F2TPBUvFDS2kUlh0cDaVukkTEx4MRZbCVXInxP8jbKwwFtHjwbk+yMOhRHTgNqj1EQTOjscEuQQ+OlTYcgXK3jEq50dXR+xRnRvI0PdZzH0RDVqNSV6O0tC6GuGpCoSTb8DGlr4Q3DeNDyMG2mIaq+A6uIh1oan5K/CH8K6Spvco4HHguwc+sPLBEsXIXzR37GT0HP9x96vB7pyMdbNDSi8iL5MTN4SuYMRwKOspVwek33K4Ox7tm+MEH2luMcjtFwcAYcguS0yFj/PsPNyYRmTH84FBK7/YprH7OatNIvPfwT84OcqvseO3oQgMtY9z084hvuP2feCLhPcE6kGpGlEyZUCaqDdu08DZ9kO/Qfcf4HiW0LhUJ+FGIWFkdEXnTktZ1IkJ+OTm9mzMVWn/I7gueTvVncT0b2SvQuQPEj2k4lfFAh/uxNq6UKJbBOJ7E4QSaf+inVbcMaTk8Q0DKGdLyWxYiOnmDY5Lp8O2YC7JIwzxtB0zEPvcHawlTaZhIbVOYpwT6CjNtA9+xqvg/KuB8Q57X0bcQvY4FnGXs/wBTY3laIODSGZX+CCGJi8h0vogqi2nm/wACYQ1X+SJ90S5CHs4sa3RHeKWuE39FGsYzZ032hUlr8I5W0OLWwsWDX2IHE8kL/AY6nsjrfg+7odMQ1k2GcKojPcRvdjly4OeOiC5Y5+Chhb9nT4jgkKPWd7FuUYuXYRCRl2cnb6NjNjmMTYscsSSEujkGOpPlBGzmjpjxiencH4OdmQCegPT1mNkfTIwj0/ITyInThD38G3yNB1wLx4Gq4RHKngWnppNE6L0uBNdkOtavBEjlwW9MaKYfVmMcTYfNHSSjTFz8jRkg5Qqom/yJddvyPFgXOCFDJ7HtcpCv8U78/wAgarJloYxRTZ7P0zH86vs63yPmyVxE17hA4ISUiUE+axULlYBDuT6QoTnJA5hcQ2wx6kdZqwk5iMxv4KgE8jgYtCeh60PEGjkP/ITTAYe77D47R9NCvSDZg9DqSJGy4pxYLKnWwv8AQVlWxlXUFlpDQOTav6FduBjQ2J9mddIUiRRwFyYVYO+olTyYaNa03rf6O8pxNP4vfhE3QhBobhoaYMFXBT50XPBxjiOR03A7CvKMvQMe2sawNFjEyM5GlYNIrfgsiYs1daFH6GPKE83/AGMhrUJF8dFwNwZyfw8obVOUIpeORb/HCR3DhDUPn/6HkJ/uIKzDL2bM0F+jEzBmBKNS8CJqtEz91Y1Qyw5jej7yEEINJYSrl6KtZ4DrWtQrCdVGp1Eom57MOkKmp6JueUKz3ycj4L94YvYPJqViLsOBfhAyqvkSEExMGpRsRjwhbeRiOr4XPw34HMPBb3sN0EW8Zu94o2kJmGqjIp2iAn0h28CAJLrD0jpmINg2m0YIGaCVTHbFXxMQGCRmZadg0xTRSjkClBVNcnDkcIaKscGI5D1E78MGuKDbwLzBbv4PcP0cB58FjD4F5KSPY0fIagm3od09Nbp/wexyKGbbE0cOMhupIaqokuGTZwHC8Ey7ZiSM7DHbOx65qFGTSDL9BZUFXZTFj1/kXC5j+AKYNV1R3Uhju9l1sPiSj9ioBm6TGlSmkwoqE2DgZsgx6xOExObXR5AvYshokqT4qbg8hM3kpGiKE3wxE4JKLEhtym/3jvqYuJdKDNFRisxVUPqU0/6EUcGJ6w5JsiFh29GDKKk/4AkQRHiEiMdfGeRHsOLRSvgimJ637Hb8Qy2+iZT3GlEZDROCOYo1aIw+HhXser5+EPom5w8iyG4UW/Q3Ep8I/wCr2IPyDKzNpwZbhqSiLquhFDSexo5wYoxPDVa5M1MdTg+lEIYFaZ6KD+hWhKJaNI7HI808CaBWggk60hbBsWpaMgzzNnEfBVcF+ESfgVlyGLDbZWFTiSfY68M7KdBNvF2Lq6GfPRPDjHr2FlaEGlzdIs9ZkaKLyek8CZ7tmEwWsm1FJp7JME5E7JdISgllPsQ1v9TEMS5LSEHj0o8HvRwGHyMGyUYbeMEwxdm3JKgLsO0fhlIkLukX1klzpXIRv6DJr7N3sfFBYGJERCUOIp/k4EmclaqMHzYmUvgcN4iwE8jSdofe/lCqwD1gT/t5HM8X+ypCTVBO+WMaz4EbJi9hCYiRRwSjiTxNFloyIxthRYORMalzRsPqHUcC3H2eDGVNdglqdinnjs+pdnCK15JSZDtaUi8DQK1IxZOBIzso8GouPjmhM8khQd4gT56MwYSXxCvkMncXo6Tgj0mexWsbGC98EhLRiLCbJSse31MbyMGnPsYy8V+xG+RBXKz7G6cjNfDL7CxUYmKhVF4JyPgaXE1xqfJgQ59kcexdeTTHC+NLpEoJmkefRZW/0LSSiXOiFwPg0WVospt4GvMM3wiks+78Cdj3/CjR6MBU0+mSpFjX0Kont/sSK6Ot8Hw8DdvsV7BIbXIJy1XyL868IcZI0vCGhtM4KiVYhtpQofrMY0M60SEZSfkZHjGbd6KKxrLFNJwIo3zwMuZkJZNnAcKLTwSVEm2b7vgwJ9iCRy8kkbjmmHh6KHISuVv4pqbISKfHQ9rDxtp/DEVvKDZCtGVSMVoG31ol84lPghTWGNZwMLRq8FG/kVdo+Py8Dqs2b/ac2MPs5OWxpdGeBoSZtEr7E4WREaw1lpblnQFxaK6pylosLdpi4HKM/Y8sQSuDoQ+Dteih6CweLuQnhu3oZtdNm/hIS+KGZ/c/ojF7/sOAOjybyJNsOjmArJsffnj0M2TXsZjo5KmbY7Fkk5JhxEHikJBm+CnUw+hDX6D8uUM1iG7SVEtGSacHlawXgNwiyts6Op0N1wQzSsPyZJ+QgYCiqRyxC36H2v8A+DU04oS/4BogKPNEaKKPQSYbuho6UGjqB1UTxYfYQtT2eByOATN5Ibb6Gk7+Agvv4n4GOKvKFWLCPg+/gm6R6VmpwzoB/Y4aM5i4eyuPAuehGuBwgnHNIQ5B78WzXDF0Ct0hy5RkaM+D4MMiiZ5S0/c/RxP/ANDdEY81cFcBxKFZ+wehvyN71fkSp2Ga+RxKE3I/E/IkuRDhQR5CEMcD7FoyMzDRM8+RET5lS6IPg0iQ6MdRWT1VCHwD6tRUnBH8BFyCR3BqsQbqxdk412ER3g+Tf6xr/shtVo3HcNSgsDp7+RNV5Ytpks/Yckk1S1NVeTrQPZQcfwBzEmJYnyM04hi0fbUO6amP8eQgxG1BjEy/FaIjmGa/AKuAzYkW7OE+fsabcE/Mz2NmKLVzp0dFx89D7DKpDf6HwMWgpMqLS+odIzfDF8FFkJ/Fv7P0d1Zf7FKIyEvI8zBY10zi9MmGi6uKM09+CteS9DTmoah9zQEOJCQDMKwvB8oVJvo+DN+YxagiswajkIiIM6ghbaSGb5gc4COHL7DpoOExrbaS6QqvNdDS9RuHAQyOoII/FFow6IsDF+QttcoYvsNsfJCScFLljME5JumeRJkEYpGovilRtERMHHkhqIib+SA4CnhjsoUNv+kZyEV5D8CnIsN6HRolYxnXjyaaK71iJrxdC3y/wOmgvpnkXHw/ju72WuZTTFtrkvlqLkj+cquBdwjvCvDFI5iT+w/RLc4/2D5pLg0uEOqX5DoPyitOqhcwSxlvAtygi2HmR2RlIFyV9DNb7RyEo/A2zyLTsGRwHSV/Ezmio6D8ki1+SOOxzvQkaHGhnYDuorkqMT2xLl8csYVhaumYwylHclEWxqyuP8nMpB2mNaXZg8gRdujp7EZuhKq8BPV8F5M7Gz8D6VDTzgRRkVlqKI4xg2pIcIwwjCEhptciWgkB7UeReB1o+fhajRw/hDYmLfR+20NN/JEngXyKrs7or7dHrjFx8PgY9MEtRcXBOnhmnqE5Ql2Hf8jJ/kquBK5QvvDSpkj9/pjNukvJ9iFU0Ipp4HOlgnW1I9pB9XnRL6CEA0bWNNXEKRunmwuK0QS8YKekQ4XhdCG+BiNmiqb/ALCqaczDEyn4g/BpbyU7sVOP+fwW1gVjuiK4YXbTdgqSJsUzLBbFyPHhCV7OAwzAkx+BtnCOA0pRcOg4+/yVtVHH7ZZOE+ALC1BdqCERnwx5cMUSgu6weHIlApjQcoraYpy9OyEx7PT9SCYLA4zV8tDGJ9qM0P4OiH4glcGA2fNtU/BJmjR4DKvjpC+EvlfC+Ua4ZcuH/sMS2S/kfaDUL0TvEkcAcCHkQx0YVCvkppqjdQJ1wUpMTZSRlr4qWlsQ6dNENutQ3cNeB1GskU+0PzaGaGhy+acFaCXnRE7wEqCYAXBBfExc+QqZHSuEMGhhkJLRutPib1RIa1AfB9hq3YGh0KDu68FrWjqBuBtSFOE08EGRdgtBmijaLWKkIRobV0LTyHDr2FxfhmWOjmXCPIBIMgjBsmaqp6Z3n2EGbE/8O/haJ+xac/Bbl4GJu/B0UqRePsogjPoDXovC/wAF8Qj+Et35o/8Ay8jT9/sIMzC4MhnYtRLB6p4GdCuufRRu0ZYVnKNcDfxDUYV9XA7wBGuBFi0jsTluaG0IXRyOjD4QlSRaO6b8DH1HdC9YCnC+HPYNOWryJxcjc7E0dFOhsqlrLp7EMqlgjQmaqhE1F0nhc2HXgdab4E02ivSsdQnIqeIPfWluPijQXehrGrcIZ2owq5GDtcFjgjZ8GRpDtTgW1w/BFf0/JCAt+GQaNGJwUCbuUKiIRZFuoeySXB3QWbG+WJERJ8LFF/jBiH/Z7E3cN/2NnIk58itU9DOw6JOexnHYedF3yuzpfkabrLs4mYZN0w3mCTaOSdY9tElKUcGGumXT65EWmOFGbWvyNwkEbQSiuggeBqtMtthnkMe1aUFu+WKczCyhVHLWQuUuxJGIc/sfWGGaGehngu/JlMdjIyC7wZOOMrAt5H65o1e4ri1GxphfVU0s9CLsRSWpw5JGhmiPyLrb/JhvgcbnEEq8D0xSNI5Tmhqagj+yIaG83vwO688JSgya+E4ckEhDejoYlIa1IoX4DlkQeq9i+O/lWKT5n+HB/wAXsNbviH8lFNcCH1g0CcHDHmlJt5HbeWOscMuTaiLgYcl4H5lfBWiFH4oRdRhYSVNNeESaaZ0IRiH5EjQWuokppjRTkyDlwYqYctxsN3gHgVYrnz8DiFj/ACJOVRrwj7AoteHIo77Et/F8nFh5kOxKGBpmbJTyOtanyN02dk+i2dl9I+S6nDpXCKp0XgbxwjBNdPJS4BlzgU5GTcdiloMhM9h3kQo10rDaE7p8JmOX8oy26+y+SNrwF/CHLOBkPI+xrGNejBr7DHUc2cZyU+JCF8JePlXj4QaPotR/yewjT+v9h5hq3mDRdIg+ezkRUZpGJfYeXDoWG30SSaiZbzdEy8kCSM4F4KEKOCv2IYm90fPSi2keDwQOQdlpguhPTWoTIRyd9tG2vDFmYtGKhWxjxspui/ooxxIwdahOuOBS5DkzZBx4Y7YuI0kXiVC4dkWjgxSwSg2iOC6P8MYH3KIdeBI6JyOjqTvwS6rR/UUxvmCkacDhUFEYTppgJEZcjjexEF+QbJyxLcfGd0EY7LeQQEYbFEuv4T5cNGBPIvIJcKmvYptAZRiF7L4EIUUEkxhfKUI/5diRe39xV2zdbxDEqzwYxuhngj9l28CtO9IFMJaro/wCgEHiTjhjCqiQKIabWH8YZNVYrRwcKabEHImkRG2CICHDGQ6aEngDw0tEcpGKv0F5hStBVPDga/JFHA8UCQ8NkvoWFp5GZYw1BLZZZPbc8DnL8ETbsQoyAao2nhyICv8AqhspNIp35PRInq6oPmg1HD2FwnBloXolqbcOZUb9wrvIhh+DEumhKDivH/RwjwBcjXfMTJxN+ZSVka+X9fDIfkahJBSexdfQMnnIohSi+OWNYJCF0X/KNJ8/7B7Q1wsbMXAWyQvzoXPcCvRVdiJLyEqfxOTAnYeiHOv4Gpxj2knWNVbkT6JtsrEA2PDE2rSDqf2wT7ATa+Q2A+DfsIBaYejJuFpcRRx9ig0ZYG3Qcd5CNrgbt/A2KqTbpGB3dER0iBkYZukMZexIFJzsehvR10fb0vBTcGbjGhxXyNBHycgtOQgb7I7WpD+mjuqTH8miz9IcY6dTWaxeixWIQ/MvlpNRozr1+GLdFFHC+Dfx+ByTCEIoUXyME3QjCT2IK/6CUy8movwm4EMRKUlP3+xTUn/6FtLjyegDuCmBVxyJJ+Q0bNE2T4I3EHofAfUiBaJGScGw3pdwMYasNsH8NVIJYmiS0wNWy1djRPB0OExeqoi76Rwg/JTKPwOYz2eNRo4X0Z6vVH4gSvB5AIV0KfwGeDBHChKUYh+QGkeeRy6C59FH8OBqT/oa72WeoREJaMcYxDXwNYfyNEPRVyYtZl+SZCKPEM5D5HMrhcajV6B72G3RCuahngXA/wAH1XPHoYE8d+Rmj/aB9OAsTGg3RiPshwxrCwYvxLqKT2cbX9Z4i8kKyC58m/4eQ+H/AKY1UeH9nGIUPIq3QprU5XDoYQZorWJ/QQyehfvIqqTj+Iumd5qORngp69Q7sTvLwmA6GSs3eyKFrGtzpi2LS2TiMdQ0UyDVyknyj67PBOKS0kauiZj8HS1EG8UuKjWn9R3IIYGpHfQ3bhoheQz3NNjE5kl28hPyeD5wLeqLusai66N+OGO30AokipZIISWoWyYsboJwWnDmwktF/o9+jjLWaPxwKrJVEUwX+LI6XgzXYJhSPA71/wAEFpBiGQawXx9/B60wMFOn4Y13nkejUXwUb/h5F0f8GWoa7CxLyZHWKxtVCqbRCbi9GZyMMv2E2HSdFBFcDVW52hTb9hDmI1mnBqbGQ0YX8D4IuTLTiWTIFmEhRv2PKbYo6Y9wyViqOAuCaIuJYclqmNg+dTgpUx04beylXMHU3ZX5cirnwLOZwIfYbTWVbR6xORXhCXRNLBtk9P8AbSzVRWVefjLuImanAt6JG4wfxG01I9pdDwqRc9tfkYglqyC8J4dF343/AAUROxaLqdL4GceCZtEMaHI6+Ohi4+KIJu4VfEzyOXZ7H/yyMgnzyQ0b/t5EO0/+hyOoSzWeBNHEFbLKQnWRA6HC6DWXEp0JdaQw6zTQvTEXk1jCLCxkxclfIEaR8Mjy+BIo3kyHQ3V4dEUC7jQ5LvsrwmQJlmqqMIarZPpn5CF9sUqC4MCiSXLpwD8naQRSWotVHo/h0dawSOJgLRWRgJpteFcDyDGtWqWZNRnbWlo1ycZOptFx9lP5EJYhCMiZksS5JqRlcotrVQYUv4ME5BTR3okTz/gvw0VErEzolgtfwjgCEYXCeNGW/Bb8cn4E8NYxC8vin0JsrT5HIbxteGJsS8qNv8IT/l5DLOHf7FlQnVCDlOnPMJZUxrqDyHBf+BxdOiMuPkhJ4PgSVfxG9zQnkMTW9kOsyopU+hMnYTBKCU1vY0lsMn0T7ijmlxGajGzuTsk4CM1fQcV6PIxI2wo15CtVZZyHB6hQ1EfoZAXWswAzgGXmG6DN5T/oqegoZ1wZiYfCKQ8gQ1VI1j7Rvm8HKD0Olph5AY9kM4OBJGqRiWcovoRFousNciSwLkfByGylv0fgDWjBzw/sV52u0PoqyxiDKjXOBsTRm2F9KLgnkZqEy5NfzkFyPg5iWDfIlLkT8lISv9D7yfsz635G80cQ5avBWVaa/QMx1J5Nik/Q6aUN8ufsatUKm03B7fENG0YK6DoFwaO9mEv7EXowNahbqI2rwSnBLTKN8n0hsbcn/wBEc8rTwgcyqlkTRowcqmjQ7HeiSj6CS8xFZBWehKTiUQlVzBtmDXDRbamezZKiiLj7IaeGSY4+o3LRxpaxl8TkaG3kbD1IgDckiTRxQ2dFCkRIJ5oUfGNRYtE4GDtmY2P/ALZ5wuyi8h3dl4EETWkLgTHjH5B0yCQ1M8oqNFpN+bBhfJCKciyvv9DHujfsbSQ0Zjdo4OtifNZoId9Roxi0b8Bx4tGqA1NeCej6MsxBtgViWkB/zD9B5GsE2HtToQ8h0p7FZPd5ENZyNXVUVYaRo4DtgtbXobmgjJxRwKdUVwOVX4G43kWw2EHCNYrejlYK+B2IdcCrjx2KWOKM1cvA+IuB1UiY/CJSbVFK9Bp4HTHUyParfB4ERCtvZZVxcDEoImtGU4J/htpG08iI1SQ0Aci9vkQvRyJ4zF8PfgeQodlRIy4fvny+D8N4KdHH46+ENUgs+Hgnt+KN/f8Apn/C8nEw4OvwcBXVo+R+wws8HUXK+C+E+ZxnF9iCP9/gkT/JQS+Pj4MrgZ7Cq/g6t4+XBi+Gv7R3X2bW+fhc19/BynIX7iqcfFxOwuf8i4ODOM7R5+j9w7hcEc/js5nISKXn4L4ePi9qdsZz+HQh/K5O/gzgvjs/f/TP/9oADAMBAAIAAwAAABDL4WxcTf8AloYUT6BR2RHym6rmEa1gQ7s1zbBFqobWOWae2iEzadNrcYJC9c27DVUgWi70zAqK1nEIVkoj4KyJMmPuWW4Mg6Ji5qjINETnI9EZbCSTZlUb9A1uCvepjt3GnZe24D5r4aS26y5XqbGSL9Jl0nueRxfpyBRoj9VzsHOiWSkDJRvQVcoih4SPqVVJfWEzPGDLIJVdI759ayovt6UpbT73AGmrmu/QZGolpFUCcz8HvCg42XRyShZlbZ3S+X10cEU0+Htp1mj3zlND2tut1V6MecOMPqXDu35cl9NqTqI7r/br05IeBtm1cBtVquDnmBnqasfQKviIHu4OnyKmwQI9iXLSA0LJOL3YjJAJ0qrFtJqETgdFdymjj5KC/g07mfXOJx1Ae6FFpt4JNs2DI+dUgMKC5c8ucgvi78D5wtqmSu/uaqmiVSSE6RZKYqLJ4sNWS0BQ0GQ/s5ajTpp8mYDf1avaz/bn2L1rNT679WbKpQBEZZl7nV2Xv3rhuoBRwCZt7dsQgsiRq7CCmGr9WdTMvAW/IJvmG4QpetDz3Y4MUWWFU4MOUyzlo2hWa8ikeAUQbHiJatIwM4Zbz0DICpJNjYqimOAI7NjdOPBFK+7VifBlTC+42Gf3bNdZpakYsE6sZ/IFBsRmZA/ptiw3+SZFleTBm+ZaF2RSrYueJpua1+qrgcvTKyc69OnfUKf6j6Aam4nF9Z/zHGGCtj8d6c5tQKwDY7ugqqrTr26a2+FyqYMs8rdCWa7uCoojepVcQ9lgNkCNmezi6yNkbQEYkc26Lerh4gH0j+tuZaH6WvGDCqvnCSLtNpjGs1HestDFJJ/UqnxY0AmqiM26RCmYMsW4SDbDX+CuOIlQP8jiaO6BTjcvbhqfG2i56amsCTUZbnCqogqaqPimOuqNy2tjuwxeyRbBtpL7NBfe/wAumgjJh1oRiF8H4wtEimoIIKWQuRdoLr5m/vliSLCDmFge1FTof6Iip9qdxANnshcfVWdHHRtJN0pN4WqdgjsGLmirzkI6KDEbQGkI1rJshOwx91bkPW9aan3uqLzmrnimeybxf/6NuvDwoNw+BfbDMcrn3/qrOQ2X+ytx1+Cxb5HFAnNO6uh/qDhC+NqJogz44Yu1RHLHYM0yGsdXWY2mcOGCuiGOHLOLGlc/lnNWpFqGlyZq8MevhS02WItVdBnNTx3mYoVZCCPCT8d10vvkCgsPPIrgqnHZELMNcEMlRaJThhsmzKTJIggrKWMGC9XU9J72EMVg8d9Y4r5Xp6oBl0sm5bGHZw7iw/xQAliiexlKBJG2yqT2ddbhGiEEgYTtMF526Lv0/sTPeIBdmXsnTyddXcaMcvOBmkt9esfBLlKlcIAOIKHBwpjbiRUouEOuVHk26kqndUbxuvfFRdDjYllADcuz/gXJSRqhvIOTqa82MkgyvdVCDBGivbQsm7issRTAB9EZGPp332qEtggm0phlpvih3Gm1aQZYGRss50xtjGmjbniq1sNdECeGE/KahgnuEJ+kwYIypsYBZOuSATsyIV7/AO/Nj5M0Ub3oo2XVX7iTOtlNoLwIUa5KYGhDK6gnyvE3OScNlMX9cW2UgwWNliwvHVmbUxKAu4on8qvY6Buy6uwDV6ZLZpMhxPt2jAMUk1l2L/7/ANc8A/Ci9cD9DiijeDf+ci++d8A9cc8C9+cde/8AQgHnQQXQ/v/EACARAQACAwEBAQEBAQEAAAAAAAEAERAhMSBBUTBhcUD/2gAIAQMBAT8QOQxuJxBVBGI7gizACKvKRJUoFR745M17jrB2EGotLZvjNyoYoxcp0Rd+QlqAhWBO0DWEMt5NqCMd/wCQRLMGIyleGEhYx3vxyzXojg9GBWohQzY1DOGchHfktLC2CSsVO0OYrBMu6lk5nkESzACMbI+EiQ8DTKAJ3ngsiULjO3I9Yum4t/yO/PFlPYFFeC1Iv3DmawAiuW6Zcl4Az6kSvFYSvC+RohrOiKkxbbwylCiKBbG0OeRMRbYAFGVAtinIr9n+p0Tj1QjE+LE0yly3ZETwkdzme1DSsrlQFUCqwFspxaLZweBEgRm6gOsLd56IQl+kPYXSCGmUafFhZFHfLkagrNCzOJExbaALYghzNRVqGIY6mItir3z1KQasg6PpmuyUzgfFLUSvCSsVUVYQRpmxqFAdGRapVHJgC2Kcxrs++ZBG2dRSC4CXuCPhLl2ybdy/T4u08pAjkGdZLt7NDnmzaPYiXcS9RXebiCzNnk6GH4wByDaPZUqCkT7PxYFUwb8XlQShCnNT/leaiYOx5ks3lOJuJHqXLfNS5byVWABnAlYslZLiEpFRR2VBSL9iGiHxltCSLLIGmSHUaeWJDUccMBDUutxHr4rCJcr7ADRGXjBIKfhFOsIey4Mu8FJTNnIznXYb2ISzFaXXjB2jKnGkN5Yw/WLc0l+iLghufSC0S18iot9g/wBly/HRHvi5cuUMfxLwU5DGmAeYQlc5nuRG5SdmkvFRIw1Fv0PRiL9Z87lr32Z6Is93LhFxBgGM9S5YQVqMU4uwEW/KRPV/36gEimI+R1xXiZrApLuGoMbixyMGpw4NIuC0XyGUiQ0ZM2mq6ghc/AlpETeIdbip/wBTX7CT8Ik3OMVAxWWdlHPUly5cq8BgLiExZFrAahmomalR4BKKr1WKiEoiRNNwtP4oewOIkNTYZqOvCgi1GCKBAvce5qJi8cuUNwf7B4zUr1ubaJZWS6H7T/SBwDsWxVamqX/IP9n+04VjNqURQ56Usx7AucJ1woeEleLiHGC+z9CboMXfqhG1o9/nf8Kn1ZYQh3hbh/kVYBUSvCe7lwwwKbrmzcapch2Pf/EFxbvDuy9ctDc4R3hyLc+xMp/I8nY9/jaVitilZQgsDoR1bkaZdwGci3KgRbl5SMuHofJEZWbuXS6hD9YBACoF8lECbqUxlP2CvcCsVaOxcESjA1Lot4f7FvAU+EiYGCZDAeAhpP0nUEbn+ECiv6rL5jjYhbyorsCotwIehLiVLl4DcCV4DAalSiH87h67SkYtape8qdM9gKXAZVhnUMqKNEVU+UgwFsCvFy5aEHP6kddj/WBqxkg6zVNQ0jNm2ALMygVnoJR5SUgV4fB2HP5gLZoqLXuD2wo5klqzcqRMj5FAXU7yBUpVkIZ6kQLhE7K9kXwdhz+KH2fFAaza4Fn2Bk0sDFZN59h1HhdtOxLAqfBhvPUibQnkIsWXLwBc48sf3gnIoVAIuKxZLm4HhN7xWYGdyhm0wDK4ujB4zUv2RK8LFi+OiHPC0bnEZq5G1ebGfAgAA83Ob4EE8NxluCJZhL1hVQjT3wexN/IlhFgrwYOkOYS+xmumatGDBu4AShbA8DsjveeGEVIidwTiE+jNK3AERwNH12Yx/uFR46gElpF3lQ2xV6nW3FQLgUQDRh5CLlbz+EIQtly8toKlq5xYscY0QVSrTAceuhGOYFkdToj4oRHualCU7gW1Llw8h6q6J2ckqMK6lOBcAqDUUgde+zHOT9Jq+FCJ1CXOy+CsBuKj0fFtEtW4QOvA+xlyxEYuXYYlawpHOwBZ76kXYjgCKWal+/BQHqxrx1kLeo0wRLIr2BWQXkYwWZKNRuIJ99McR7DD5juJ4cdsPubjyMHjhl5O2eMBz10n/8QAIBEBAAIDAQEBAQEBAQAAAAAAAQARECExIEFRMGFxQP/aAAgBAgEBPxCCjqA6YAiDLCJUY6h+C1FRBwXZIS9eC3IDpiU1g7Fhc3bi25sI+RPJUWxTL9fZEDFWElYohegQBKjCr44yaLYtuBreHReSzU00ZaKi35RjwIt+DNY4E7EeLpVSoUlunyQRo8Km4G7lxHMtMOBuOlGCaRb35odjbROysVDS4fHp1qAyrZLjI1Pi+Rg1Q1XjaJUoNsBcVCsO8UbYtt4XxUR7Kg73kLgMNod9srhso2QXNz4su/BSVrIldyl1GF4NsW2Lit7ljCLWsVixUaKiMrIFXgq4qHYo/g/GAlx+eblemDfi5u5qlDkNosrAUW4acl4p7AOy65gJX2WEUy3zW5aogynnuhpnweZV2d8iVg0xHuBbOYyD2O2alZuiAol4slxbr0aXA/ZpgZVA+xErzzMThGUrP0eEuMMOfkneBbUU5NeZCrY/jFy/ASoQTNEtFXHBlD2Deo/uLeonmBEZ5JW8qwJBbEFDJYXHcqDS4a5F+sW/NTTuBmkU5Nytx+pawDAOGKM+zFPIBKYyswy9AMrD2VBg4rFTmdh9MUNouvFMDdSnsOCX+ypTK/cKHZYY/ZcuFIg3CQsHSUqo4xQiVgabIgbn2MEUhMqAUIAwmBITrLNE1WxXmoAdn+cX9YsUcjeWlz54O+blwRuIalLc4kaexgsijIynZi5QxqUQLZR3BwYwkXUs88m8slpaXf8AI7L9le7lMP3KtM1WMAlxUuUNx/GLwfsbO8K4iXhgZ5Lly814fNSsBLZeofQm0r+y8RJUqVgZd4lxKpg1CVcIELYiqMKxq0S3FRLjBQZMVLS3IHixq6j+kdpQZrCHBX8l/wAaINx+TFfIleLlwF5NOxSqgQtVi93KijArcJ1iomCpULnYv5KBuaS/FSs1isHYoleKxeLSLfYoB2ZBeTRXhLJ+s5iLcu3ACX7hJhMCVLgst9moqInivY1FykH7KXP+ZSAS+pZCnUSoGP8AUoewQi78kVstjQgWg1qfAjGsMTAleLYKfpNpT9lo+QuVr+l/wC2aOYo7nCLbuU+ShqEJUCKYImo8hLIierlxSUezeEH8S0oI8/8AGFygZupdx31FDNqBjpFtuMNTsrCXKP4XDCzsCJqV5rFQJargmWl5/wBxMKlTb4uSFgc4tiVGSDcpag2ZGJ3B33UEofPRAuBUIcjyLIK6hNJ3c/SUSgaJ/wARS3FS5apbP9Sz8ifkvK4C5SxcUds7jRtiLFq8FJfgBo3CryEIqowQlGpSP4nMUy07/N8OBS4jtyVaj3qULYihBIo8jUtwllOP7E1gTqJ9jEj+MVKlf1TqWiX4qJZUcG2fBgXgNFsWscg+Q1haEAl6GyA1EBbH4gpyELdPi/4kRQsHull7gZe7nUuE54ipgxDCysV6lvm6l/kU4DCdPHD+gtn1YAYbRLtwR7lKj3KuyDWIwnYolYGT4sseemDuoCxQ3F+p1iVOGX0S0uYSvNI1HjrBN6lXBgg0yrZKxpn1JWV4h9eBcqCeQKM1c+NE2PNSpeC+ypHil9Zr0Gnk5JPfADLNkUdxUGpbpwIJZAr12xeale3KO4VyYlm2K3z3k/flWTSQE1EprOzcERF4o04QrK+wDz10yKDlORuBljUVeyxrBkXFbmmCXETBLynFOzJFUAxvCsIYf0gfDtLZ+vgF5GpAmVAljcaGpdw8VaibyNOVbknyKyVqiLAYuXEBFNkpPQjk/WKQWDc7Q8IoEPO5COpfoxXj9RbbytjNjeVTHYOPtAgZa6iX3Ap7EcgPsUlUSGQtgDRABk4uXhi79fmORbU6w/iOfpionzlQJUqoJpBHmLdkZSvYpyWaYYEyw8Aai3lt+x5B3glOaBluiMOQ1i/UEsUy7xdsnwZR76IcnU+zj+B1j5DJCDwd4O5DPzB83PwcR9dE/8QAJxABAAIDAQEBAAIDAQEAAwEAAQARITFBUWFxgZGhscEQ0eHw8SD/2gAIAQEAAT8QotzWf2wqJlKC6Mb3YbE2MStM1teuRzDFGovE8fY6I0z5Mq1qUAWZxauWex+ly4lUEBL2grXUIUyWRd7+xEUqj2VJhebZVUABb+5mYvuYMdF6gChp1AFNDbcBWJSow26aluIMXUTFXtIHCI/hGCsGUITgr/CUX085KcyO7lKVkCCPViEsOnf5hObK8R0WK4sgEtqouFRDUdKG/wCkZ6JlhYvXtwuUCsYhyj2+QBVGworIc+QXoeahYKWXAOB/pK2hcljN5q4y3C3XIKgJDBFUesUlsdjGdQQSrkeyC/ZQiw4Xkv4AyJuBt/PyBmoGS8sZ2oemZvNHZAey4xTJtQW1uWlYeZj6GDPyC6QHrF6xxzGGwxlggyLss5GpcTkuZG+dlFMa1B0vXGUZT6EPyZeQFKgEtB9s0fMXG4Og9ImgJyWELGOYF1HNXAC+oQJdmWZctctoU1AeBBShfPIlv40aB9IXycauPh//AK5S+uj+UZSBDUTLK6Y8fQxAhkM2RtSmbtJMnK4qAExH+CLVJ+wY9mS11AqlmXmwxCJeWo3upYqx2CjKca7LbNlleRVBjyMAOetx/b+ZRGXaJSpkxPAiwjF1ZZlgrz2pZEV5AQADiED24qoRCxdkIYPpc0NfbmQzWF6D1W4z8ieQhimz2C6oXC2NNX2NLQtSotkgaiEGWDgOVDFxjxXkjsxWWY8Xo3FGZG7hXW3TLl3bMIJWcEyF/aaENDGwosWzriZag0ko4UMv2UJ2OYWdvyYcGqowKC5glKFNtzdV4RgqYsfIVF04ky9XSprEVa5mEgBe4qitDnMOFCu+EboLnL5DhfS4rf24qGiwHdzIaUdYLz1qXNvXb/ccsDLhYQ3eJ5BGlQCKX/EqiJvRA5EL9iQjtjOz8ViMYN1jyDLtv+IwrpgRYRxDIQyFVsFREEOoyKOBZVEhsGbg1drANjTEJS9KlF0ulAFecz+cMzQWfqIgNH2oItbXZWjZph7+CKUv+YYNEw9hQmXwTjDMnyotrPEYjVQRJJyHSbjhghjOoVG9EbvUwXOTpFQ0mKcmFxj/AHHEGLNjXsqB01mAu8W7Sog0hvyIyq43K4w5c/l44JQ8HvxDsLnLKAdHcyw6ajUexnRDtQpi0aai8IAJaQgLeLi886tRYgBmxSEbvJURqrIYINXDfyE+BeUhipDE3FQ8h1SfMsZbakwlO7rcUfoMpXQeYISidzVwB5qthSrp1C6Y23FZWl+M1zehSrmhW9zJpoVNrHMtI2vImmp5oY6qx9jYEPuGLKETdzGO2rr8hG5Uu13E1UG7jKW3TAd9u9VBMab3jqmzB8mCxbptgGrFhGuAX+KiFOq3DVe+Qdy3yJLICEaIAL6hkzn+JrIa17KUYjmuwrgA67in2WkXTuptIcMnDkYykqPKlZFe2xdeAzcXkP5jMgVViH3ALuBYjJ2DP7U0wVV/vGnGC/5Rap83llddU9dzOINAQEBPtTeLMqCbdnk0l1e4EFayOoa3Vy+WHFRODdxIrWkGt4fIYKd/5jPTELOqgLUHnLXeIxLzUoSnkpgG5khz7BVNGY7FQBxE33Kui6QnBr2tz+CJ7E/YPsCgDtwxKFw1uJlKOwcfLiCSKlQCAntT+tC44WPsLGn7CZw1qoLs28QctvTErI3wwx1DSACy6dmeXptjEVBhZnYKWI1s0r0TKJD+puNGqi0YrUwSgdicH/2bIuZjcXkG8jokWRaF+RBMIvMtaYWG2o62UQLcxFPRXmo1mI32oCAf5Ih0f2zARxV0jxlfValctsNwhWlv8xmllPauILY1+S1B9VXFIh4ty4uS8iuCul7CZqLqUWQapcVdZ8ZjBq9SwlzVchCNwqClhGgB83GA0uPYYtbCryxVNx2mBxcTTR26iDEdzCmEDsAI7/JQUvGo7yzTEvdd8la4CGYkLR5lTtpL/KACixLNBl1UsKLEwINUkapSrryBggPruVHEPtw6xKw2QD81WmHyi9DYymCuYZVH0IjEFJUszFitfJVTBr/EobNzGf8AMR4hxuAQcD/MYZ4P8zGVQMBqqAAXLyDWskNYyj/MUusDEgD0uYiGevJRIVXCjBPYvIjpcORcUTQrNF5AJnsNw9YB4clwGkC70mqgZ1zQ5gV4Dj7MYS10lkrplcwSAGsxJaN8lyAT+YhBJxmVUmtCUV2jsN6kYQLNw+TNxOSsSqaqPZl1rGJYBwCU8EcwJdpDCgW3sTg+3ZcibX7CXt7TUcWym/J0V1MyS9ZxHAF0gitXNQmAjy4Lf5UZRd8GKNHcJlZVqzYlLBdIYBqEWwH4lvVpmDSKVmLu4nPZgHDpCVvBrLK5ccYsUcARiyPkOXINXGwfm9EyDWYNQ0g4oITQi9QBwdbEBOmUEyXhhIj0gtA3s4FdqXoWGIDMLQIVAr3EI/MDpwWJ/wBgSKf7BBeY/YSNOD2NIsV2RXtf3B6xPL3L8XYCU3zM4EeXuBBpXyGIJfykuNM6gggJFXI4KiXViGD3yGU8jdaI46nEZnRAjZqJl57AaFiKRyht3XY6FW5qqnqHKmPblWBYBuJW4PfsdJv8jin+kuYA+yksT9iocypl3x8lEgVexEYDAjHw5KQk4ubBum1uVqrwuVl3uvIwKLH8wfDDWGJCd9tQmgLBuAovqRyBkzkR2Wa/hUtToBHLL1sqrhj4S9pyGNm2l8lHTPCGLujVxFbB5LBUrP8A9meJE8xRUH1lgjDV3BuhzGcNNC5bkDVYlgq/Axxsf8wUGPjdwof05UJrvpgRedPW6g8E+TMeneqhAEB0MJ5J6IWKHfkCItbxM4lN/YuP7DDwDP8AcZND/EB+y9g1O+RUrmHhBlAHwSgs6fIUub2bgbKF7IpKrtSW9YPIJtP9zKK69gLgEyBCmBb8zKjKIIPN5yeIgruIW7Y2vbQC8PE9IR0xwYubVQZMq2JksoouFyFNH5G0evCwMyRyT2RimBLRk9J6Ro0bPYavalFa1yJ3EZWMqjf8QfW4reMzEym9RQIKZS92pdFjQPH7mUFv9xU3+jUok/HE6BG7lWNbQTUh+JUAqkXG55coHQrzTLWpQ5HUEx0W1MLC4s3C9uRFe7wEWyUaIUMYlyYLcyrkXUrrB7qBIt+VgYVjFRUjY03FsNp2BwK4TsS9ex2yT+2BdcvatwAahsvdHJd4iJBFC9goJBYrcC7iMNRNqs7Pvrdsppft1G2SciCVTHGBVwGojc8qhBBd0uWAVCtEDcVBRYXMxq7i8UmCuoGPJDYVN0sitETAMVBCgNISqLcU1AcmAAHVjug7UeQKXcvgHqdVxu4CNBc+JYIDNs3BMzr/AFMYlG4mYH2KECMVFQOkalCuPyBXA/Yy1vGIq8SjcsBDkTmLpWtYXOhAoVFWMnFi0Mt53FQGw/lECFStfqUTQ+bl1YWZNptQHUeqoNewyk4NsoaZazEQslGJkBM4Ze5e7yVAY3gxhQYU9jjeR7P/ACXSFZI5jZFpL9IBjfOUUwgMV1HVhFv9WWaGGCqaI9loc1L2W8R0dP8AMupRrcRuCGr0dS8LfWYGFUGqmRSMvr0+7ilqP7CAZ8XBpQPJetmi5bCHvkC3Urr2FRK6IKoehcpqTzSAImAEOyjJqWFyWIoKGWhW8YhgW/BDt2mVjxos32sHUcB7g+WAWZo0+y1dD35KpAWekDGA6YVZPKhU8Ra8jSaqyEWKL9S2O0UGCL+IRi0oh8wOauIQYB7AKL68jEyduYZCLYRNJmjLGfYysy4MvP8AqUYOuNy46TyCkNG4gUUV8MzAU1yFqQtPEyMFoCiAFU8chWgt+EKRl/pitD1gptd5KVpQ5fJUEsRfBLNANjDN6eBDWkPE1CzsqXYN6qY7l9MwObfkwCvKiJ7LVnTHaBHYrcW4Q47PR9Sy4ar/AMogg/3CEkzuUCLaMqxwuQS4iXTEOMhsqCtEdBK1G1GvJcq6iGUPCHgjwQQ0BgJNvywOPZakthqK+H2EWltwjgiQH5BBmmNcJTsQhwRY1UUW1BKsl7biIDzUGqJn+JkACQU0+2zObL5UuC3e4TQEiGLKblfGjNMr60XyBYnif3QY1VTpjgcpwXEEyBiAAG24Yik0+RHSWbIoF/mB0o4tXMDz7HBH8qHqAP8ALKO2xZb+yuUjAH24x7HIzL+SWLAHIIX01TcILpNBYqxkgZ2hYq4QLCUzGibR0rCgbSoBrdHFzKuzaN1HH11tgtNLol6AJLUDSRqHdJ7CUFmKS/KtfxM86gFEVi47AWVcCVe6jcZAcpzHQ/ggiCfQuWQ1bQleoKGNO43lmZkHdRqp8pL8Z6ogupMPTRfYjBH4jq/9RZqf7YeEjouFmw+AQkrV1bUoyC7I4tSxmytjqBoB4agEWwZuPahgfymA3Rdj6j1irPSM4JxBmUEPUTqvGhcYYBbpIzstYJxc9lmPH+Ys0ntwyjX5bKNS1yDZKRk5C7MWOx9IWLGslP8AMIwfWePYpUJyGLwCCRryXyx7bjdTEqzJCdmzkX4fIyhGzcbJaHUHCx4TQXeYhWUrKkSwi3BT4MwblT8loqahkofkw5e32Oab/SGCoNr6x0KmJdYN5xyXiqd5gk28LUN6VxMiksKZVchN4FWmYifFpqUEOcxAbPTMWF1ct2RLLQMxq6u4hLCY+QqxMBRuOYT0YwCVwY60m4tzAlsgbSW63ObYBBzWNxWjFtjFZJRCV9lecndRJAfqOsxVr/yIGmrgEcpzUbIX/c3C+jUYVZ1LgJQe6hXxYzqWhNkcJm0DdIJnehCknwFXAoA3miFrbRu5X9r/AARoh2w1FnyrqUko4ljZMCYgK9nCLlEKKwx/cyipgEFoauEDcX2KCv0XDbcvyLx1bZZOT+y4aj7AAOXgykkC6D+5YUGhv6jtJgjQJuUZ6lAgKCqjdBrETUhUCVAADGqlPVH3kFEQykAI76CDgqou1UGIcqg1TcIkJNmYmZMIWQc4hny+TDuPqIyqg9rcqL/Md21Dcjcuj4zK/wBmOyCmtwaBblBQepejSK6uEC83BtgWxjV69StVJe5VkZzqJWZozcMNl6RJMutx6ARYy2bxlAoUQ2xlUB2VpY/mGHLl6j1oHY5iuYjtcswOQJdFN4SGQuZYBm6W2vJUbVHOZuaPJYhehhcgYs3DFvZT/UqDJvJuUiJoIRADCGYJUOn8RuNsfhM8GsCsSkVawbg/5k7CmdxGdlzeJlaz44g0tPvIbQ9u1/iM5YF+REcWiBc23csyD/2DRBFvD/8AKLhZCCkTZJgwWzagiQIGRhuWYEwc/iY/R2iphNahMGmKIqxCP7mKpe1FqsOC4qWzo4YSpg6/Uy4JqqirA+YiWzmxqIEG++IbxrcBomPCYyrZRjRAUQBascD72A0sFLzES70ygcYn7lHU4dnM41dGAXP1OgeMrWoYmlA93NigLlLdOIScsxiLvUDYj7FJxuCGlfJmCiFJUvIBSpe7hHfDMDgDbz7M2RvmJdbDhmAHLD7HLNfYNmYGPks7U0ewYwQ2aZQpMA0MdL0SgsXFoNGZaWW4QSWxeLnsHpBLP41FBH1bcXhc1KEg3gipweeTCMNsYRgOkrzF8l9LsVyxOzT3/UNym3JHOwlA6PssalMt9hbHZfke7gLg51EANDuWdq/bj0psoTfJhYCKa6cs3gVGPEZHm56UNQl0C8l7jwNBqGVt20Fwrqt0wXBpjMeITkmA/YBV7KbtiJurxKLOPIks7VqJgVNS8sTTD1F4b9CO8AuYkXgZEEn+VKoRYoVDigdZhNsug1CBYbIzgd8lYhGf4d3FVVOyNX6E/wBQUSn3LBYYnI4IafyUUD6WdW/I0OXVy5HJ5AKsiNWlH+4Hot9iUVsc3LoqONxumx4QMDPYq6Rx8mLfwOs4osBs/UqoQjhIMCwbiRaGLhNh5KOeuiI1b4Q3g0jFRTBUXmymhWJg4K5wzIK3rCxAeoADae9gAoCuQlvGP8yioX24LNQdqECNP0eweldfspHY+8myj0wgLyS8jTDRglqubHIOLtuMNaewvojMqWb0HcOlQlOsrYQzFMN+w0goeTOQB93AlnHDhNlSlhxMRKxGtx7L8wJllkU/NS+Fky+RomseR6ETNcrgA5USEh/iAqknzUuh10SpdeSUlxeDKdRtY2ChrBLqwuvZixEIwY+4GavLuCNRbkZcZ9g5hijCu6YvDRiuIpbW1nXa0pgQiF1BSF0+RdV12YAYOwgu1W88jIoFS1HVpxBmcC3kMCS6Y9yXhBNjfsBKupWv9wJ9Tx/iGEL+FQcY/WJcMzsy419+nYioVzTqNEFsXdR1k9tRDBsjriFpesEUJ9ipHaZemFQH7Cpm23Mo1VYxhp+zAWPAhhSr2zDXY75Dq0P4y1AUx9X/ANlN0nlxQPLRyEsh+VK+I/I3NAdmq+iLr9/Y8HvtZUVgViIM6/ZboDVx0BntZg2rsjUND65Yms59xHJUTyJZSCMgy9lIyFtb8JV0RIbZ0f1FMr8w9KmIoZiM6jVqoKaIuuVKXkuJQCiKaDDDAFhbENhP7cRmGf8AJSldLsmghfYSa/hHomAzXT4TGzUbsok5P2CMMLlvKCzUUo0lagVSdt1BzmLFNQ4q7qoUwS9YzBkEUJkn9XMyDGL7CvQ2XksdRbjEuuJcHfkqW47Ei4GsSqyjgh1cRYHJiVgtDM8G1ewqKxky3ADCvIMs/WWSitB2BG62ewgl5bvUdplM8JVq9yii/he5fUVq4yBE5XyAAjmJ2Co3s2wmynKDBAZYCJGQ/kpz4NxpUfGYQWzRLh3VZiAilGdIsoT5LhTwuXIBBs4/IjeUzCqsxyU8Al6laFDlZvjZyCOkeYloSC5zuVds7qDtQrjuN+kgldIXaFdTHUE3f1B4AlKjy2m3EzIleWWWNKnUdEgIKXUH7ENjUw86NMHYg0QVLsaCKqDiBkAX7KC8p7ybwcjUauhW3yIiWYGXW82BjMyQKmo9ilTMBWfsbpoPH6SoFY4i3Tl5P2ZY5mdlHwSk+iBY/wD8IgZ1DtJG8ljlwahGYU/iHtj9gWH8VEEwXLoXiK0D9iUgNL2YixtG3jQwazsXAIRXULfINCMty1CtlPkgxLsxmLJSvGZtxFTo8vEZWsu/kEF7qC4mqDsjEWR8X9ZdhPalIm0cYAJkgJxa6lguiOMZlUhsIvohxWZ2QfI1TEz2lUxTR2DnAFcxJty3LYD1WXRgdhmBwNCskuzLECCQZQtA5Bw5YM37ZtiibQaGX0sOpiCB6axhgA85TH9xWCWLoxiJFUagUoPLuDdNJ2zJLohVi/plHNVWWC0WMxesucM0am0r4K0XLSXo0Q8FTpqKAAc55JmmGycIr4BR0QYUODXZa1e39kVc5OeWmEshiU4Zat1AWhwhICvGGWwXLFZdFb5yMYD6JTYeG5jAo0MbgG9wEECf6jc3d/1DFk9Y/gpupsi2VW4ZOgWABrHfYIaUBC6nfIWPcGYeJ96PkWAWiq4LyijyMeXQlwC5hJJR5UC7iYwf3EoziJutkPDpjIUXuIgsENQUgGtntxqpGsS1aLazDDovMcoxjkTca45cIjcfsrmClkARNEYJYiUeClEcYfQ7Bm5vO5jDB18hxWpimNqK5ARWGvDrD+EBwjuUv9QeFXKjPvFm4lihsvMSjUIWX+24IV3V38lfWGB0y4HqrRCSEf2lRiG4wCkCRQn8w10C8H2AjCrN6giO5DLD9fQWQ4jOquZgRkEviB76zLmX+Zj4ztQzl2vE/gd+QcSmliJ+ptMoN2NqYZwwB7GJC2Qg7hLu9S7jqAxEFBHFldQb+x0ludQFbuqjoCXFcji0viCHDLYXDSo6FSwgQYA3Gy73DbU9YSzkKuR3vUtC3n+cqas4/tDEqrRCUhD7CjVVzTHVoPyWRA6SGD54IoEPGkWyuwinpsKZjHiZZR0SYtFMMUdORqkJzEkK5iAC97SWg0eTIKnf2PsX9S++At1KoT8bI8/kTUvifp2CjN3CXCNkv4OpwMU6QsvRKtLlPmZRXUuaadXHzwcgEbmgWHxi4FK7Dgt+Sp4/1HlhDRDJtV3KmVtPUUAYFwrJAAbuKlQqpfq0v6EzFS/Y2AMHI84j7FSlGorNR5MoSrIGNLpqYAJsGosFimmHHh7ufvOHkAtvWWqOZsbsY8cVcJgQsLdwWmGokI5g8lxTxjMdAIsGVzq+xhBd1yYFPAHkrwK7vgT8uHKJqsN32W0Q/IKgNwqgIWZrFtTxDuYowSN5qzJcEhWkBlnizKYmaucgQFlird1cRm1vEToDULDqDsryhrV5YiE1cjG2YFotEFMF81ABIE3DWFZUR4sFsI4lhoqdjLXgGwjiFNY2XAEMqP8AKNYAyeZSyEI0ZTuYwmCQWlPSULVP8QoZP3cxyQ5MzZsi3OEPJkYwlq2JgZfcHRzDEi9AS0esSC4FGVm/iu2WZhO3MMLDFRVa/wA+QImjm13MQAc0zUIVHEHgx3BjZ5Din0iVGLYL91Ja6GLQzA1lljXhiKZQqu5dVx0xKmJd24l6KHsBBpBFoNRbR/UyqLjqqa6mhSLZORstC8j1krj7MbChkZ9kzZDWB6lGJsx2BfiO+xICHEzV7luGpvmNsDkw6bRc5hwlhVg1cpH4/h++S9J9QtUqiXrjMrF1LExFmayY1plhhB3sxEFG4JXrZt3Der9jJWvDcH1Nl8iaDfCpQJPUmQA8ncA/qGiBDqXyTQRVCW8JGq6/2HRC9VAIFUZJkgpiMVlmnIWBK5TRE2YgBTbcVSFpPIBmJ+5iH1CIBN9ilgNmsXKLMH2U0NHcA5vF/YSV3Jz/AMQARaVysG0veUqi0RwL64D7HIj/ADkh3ovA379lVgfjMSfoCALNMrV/RyKJaNjQRzuuYwMb9JYQ+qKiXlLImSEJh8jRVIFgPMdhv/CSqFjpMY2JioNVGhEYArq2OlK/Y2lV5cTSAfSNG9vKiuXLMu6mbRejP9y4IFi3T5EYgRpE1NCFMw3JmxqUu45X/ERG42xdEy+42amKcF9EiZhiVXCcpfsE5WVELdZ0xbwcEJmuTAl4cR7Vf5TIFfNEdB6CuxmBL+QIasbmdtWsTMheHCMFlEyW3pvUqsMytwAkzkvsOjioi0G15csOQjRysWD/ACy6ibk9ix35ByexpyiFTcJkZ+EEp/dS1o+4sIig7pCNradTq8DyMEC/YAVsy3F3gyOoqLva4jZPFyDLAu7hFAfsLJInsKyttPkyoA/zOXaq4+9lhUC23UwqDxNx0Tdm/JZ8HUUJRu9iGhr0jCmgjLZrk0zDJI+wcQfENTAH4iArIJjuIZGVqzXtdlB/AMf3E6GYJRcaNWQGGlQ2E5s8MMHi4AIF7lU8CfQEf7dYWkIIRNgRQCI6mQ/Bcz4V0IkgS1qRwHcXmGHv2hNsg4wLGP7uDAXUpKSRXVUS/sdhOwdvLiAzehIR8DolMlvkqhKIVo3D0vb0ma6vGFMj+ZSKFeMdCPx//lHQLnxQkrv5MIGZWjUwrqO6SvWIz5ONEyEzFdYRlmFfEoGpTWxGH+yBRf8AULhpEarcPkVKKQxcFsm9tQQ6C2AjsN3MDSjsWABTvsTLHzUAgVXIb2XiFdhSS/qNf0iZsxspBw9alABRqNQOJe7gtKraA2x25Y+B/wC2JGgxvTL9sqA4JoMCNFByF5Ta4Y2EHilddevjFOti4q8MBXV6+QDsFumF7DrWozRIdkQFP/0gsMq2sWX4ZBg0JTKx4oLiVSlub5HFKF4NwwiDptEBOtsZrC7lrqM8hZgfDbLqNnhGIt4V/mBVIscj/Exza5KiBFLxwfJeanDbj+o8LaYYgOQvCUUDNai48hmZYAbU+MHkoR5hl6gY3bEG2TZB2kfSWltfomkHrQYCJrQFiYXVoYLKKVqK6CvGOxFtEqNQwNTBVncRnh/1En4CQW27CnkTYESxPCRFGeGtRpLo2FLwuFC7tlfbRmIS8xAAFtXDbU1ZyHwQd/8AKJzbSMaPUqwxv0MaGdShfspi5lxMGup7GzKfTsA/4Ud7kZpbg/4gQ2K3LDtaY+vmZU0tjLZpKIScJ5GaYHNJjo5RXKLNpAsCirIQwlvIHIWapisBiAdTXrrR1Nj9VTTQhmGttEVrKtBMqIbN/aWVcx0JG0x4MxMLH/kfN3U0xQ+0Zd6N0uWG3OQPZyyj5FAIVcsMywUrF2RgUDipXvuXLC+cGoESBzXseAtp8S5MUWRiBA0xKAEDNs3yFNRLV+WpU6TFLmNUX8YuCXggyfbi3nsPCXJoxYeQLdklm3HsEQj89jNduGqZTBdwhdgQ4mCWr7KeCbOzcG3ZqoT2b5KN1bP6mQzH+9ESgexKKt47l2mm8Mx18G0Spd1uClgZ6Iw3LZg4a/qYdUHIm2BeD2PccHOZpF/gf2VBbwpjq1DqBJFIVimZWoughtxBLzGZxEd6IjbVekYNK4IuDBq5lWB/zGBU+x8OhkCIaCrP2ZtENwsEDRp/uVDjkax/mKdfSOybBcFm8wBjXyP2GSBde5RTJUTB/CB7HsSFytM3mNjCVfUR3F87MlX18gtxTAEwDxKsAkGjb+8pjTnUF1uKsSyBbqNm6hWlb18l45e+S1lPUyBUvDBH34IMKj9l6IVrAo26WyhFq5JnQ+eQizZc1yAEiDRUGhMbXkRFHZvbAPlgaqX1FGJej6VCthxYZbAoOcQKgYucDv4lxFd0EcjJ0nZkgoARq0Atrbh2P2Q0MvaHJqMIdbDDf7ARe++VlkNOH5M+F6uPYrXj8libsp8SwFWdloAHSM1OBUwi8PsXofCIgZwPIMJVNJhVByr2GeYPPsqAOVFxUfyuzaoJyMi93+pasVrjuWASKsEsK4zZEuO14jgjydiCVNsy9s/9RqZPQwTAXDMAWQLCPgxO2PuZfHpUVCnJsvsqFgyRVrDdKlv8vJbKIpSgaY4C34x1cs93KRJ6I2FwTtPr8jUdzVGWLI1q58aIZhDtT8wpUs5BiKirKWpjJWcnZ8YdKa9mhUoiFL7Ei0zWjGr4eyrSJliwQvT8iq9iS1I+jEc2qXhZmyl/ZcEr9JlZK+wKmqjJRa17MM+h/ZvGeYghsNX7EsJdcyyhfdzJkHlwmJ8PkeqVQJmcVhRtmK5gZSihuL3/APLEGToTY98YUGgP7KQ1xq4wT1rky+DgcyjsF2sJhZcsrlhbhmM/aRmFVzeC2Jjbb7BI454Ykh9QwgSzFXaCOt92bIMCxZKOqGpgEHKRk6fCCR7dZbIVzTyKJgMLyIh+b2LKqOrTtw1GktHkQui++yk9AWEIV7DghcT0bzHohcGtMtb8HY5C6aiDCxNwYYNq1YJkWkq7g3PB/KIIFa1L2w2KBMw9AaXsSE1RrEdGNKdwXDibMeKKbc5ihXMX8iAwZK6gbva9uRWaQ3G2i7TLAdw9hv8AmSlN/mAMw9AvCtSnDekEj3F/WIxKl7CsZlRLCjSkiCTwGUapYjZS241nfyWOQ17DdNf8EtQrsg1EUH02SvSN9ICZjacgx1YRibKSXKJiUQu+RrFAjQ3MrDPbEyG5bQgAoD+WKK+exXz5H+i0de0rRBQDa9mFiDzcalQfTj/MyzPkHIy7uXV2PwRdYPQzDrSmtyoRbi/IOA9Br8jB4xNBqd5L6l+u4zcCrhEOBNRaaAlwZ1ahRRdZgrfWCoc/yqZPnCFBK9Xp6hgDPHkSBmGewpmjzcBOdWOTlDYIHR1ouPbP8wNN+oQG3IYFBVWbRimuL1Kc1W1WWmmbfYsh2eSgAPd6JpVO1gZyjNo8QLUy3MydiuDR/iLSb0Eci6t1LlcnC7EaFp8EphrlchAAt/mdRpkHkZwUbBASBTMU0VdnmUMSsAfbQCpTwzBJwFKwW7EUvPsiHaDLK/7ZAYVMsoxdiz4nRq5dB8fYdwlsfI0D/ETDNs/JmSld1K8BcPYUQZ8YjAGUIIKimlOFQGXf4aFpl5kGAyQ1V8ppiKzXHyK1K55NwidRAcj2DLjdDUr8A5qoFvtslJVlXCQWKEcQbSiHZTkEj3YSOdhKqGrkzEBkvFQvaORU1jXkslI/Z8LyXIZWZ2q9EMorOTtNeRa3GchueQnGM4dIFooEXC3oahvn8siwWz7KVBlLyufIZAd5JXtk91NRY39ghIBbHdT2V0AlZYQUO1iQnJbb+S9rgwNmBs4uByq8Bf7iEjXIzRl2o6+y2UzZhmjDoy6HtNxQo3b6wAAW9g9qdjaVjsYBXqbGPbxX7Lq7MZeQb6pqokSp9+QhCX0RAlHkuMLdqytgF4CPYb5Jb7dBjD8Q9lbPwzCj/sgIynR5CUUxbXsZNwplY1VS3CEH2c+TOLf3MdCQ9NwyP6/lCMKBWfqJB32l1Am4rplKyKlQPZ/SioixrzgQqGjZyIBFD0xBYjQxUoGsdwuVh/mJYovOQjblm0Wfa6TUA0X9irkMLyFcZeOZZKPSYgISMz1S5TAfpK5KtYmPQ84y5o9QshFZ1CGX5HVwMgz/AHCui39wdh5j5LIFSxJYyBDSEwEpQkTImIVP7KR6mcpA4Jg3/wD8ylLjQunkrhLr4EMC/wBo1gexNbhlrKKVOS0ggdB5HovsoYH7AykL0Xy9y18q2OhLrTBjJYExaeuhlQdD2BaBWi44gNOEYbeTnMR4w1ncC6VOKKQvPzIYUa7iosDDUY0XS8QwCdeQE3R7uMgsg+zMXVwDHE6PwJUqvxBJNHL8gpbZ+ykGeARJFWtDRDnk+S3dg9mkWsW/JRjOoltqGMxTVfodmCooGJS8jktDKYKIZAs4wcjIFb5FzDqXRImxBNiRlsnsVCx8i0WPIgyPLiIiu/Y4Ua9QFQnUciyB+EBZs3KVD0sUQSdkg0EvErEnO0dn6gYrW6qXugXeiF3KGbNQ19CCVor8m6Zi/YkIg4svSF9joOLnZfWiufstDpL0jxeT/owQZDTpeTBsN4YNm4dSjqX8XDqoBiDgGLuMTJLyQ/JfX8Fj1BfkFlUP7OOHDSYi1Sqjiy04NTAMYQiA2DleQ4RhkiwzGUVrbAyfwEE4X65DOLIEY0N+KG1Fa47MkrgstTDS3MS/JlVaniEqEeR07cHXMA1jsEMmotaoXiEtEvkLArLGFi33HsFlz1jlC8jZ0P8AqVDLF+ovOeHMKCUGmDClT7BsA/yIiCBc6zAIykv9TO7P1ZsC6JZo/wBEygHSPDENPCVG7A4Hkpo1q5eAtd3LLFMDSVctiUpR3UxFSQ0voKwbiUQO3KKEZHUAZdVmM1eorSW9qJDIvkphwl0MtwheqzAbafm4M0fr2EFHeZSeArPYTRpW8EtFlVp7FlLH1g2sV80QqOV9jFCzT7Cyq6lDLeWThAatAlg6LYttfmUT2F1kgN22aJCxErX8sVvMMtuvkxYh6MIWi05Aow7RFSb6eyrrK0VBj7ZEwqT/AFCVYb03uHATgYqUtudkTKZ3cMNLHZMAVu/IXFHZiXsVrvyWfd/qAhbdBKDngHcvbb6QUCAwo/ADECEWtrEVVjW69j5wfGIAEcJHD3wck/Y03LGZ74ZWTuwIQMtEBVKu2HAFHv2A0KIgIV39vPyO0rB2YeZSXcZQi4FxSPsUSgWz4RcuCLhlgbb+wQ4P3DgCpdaRiyAPI4Ec/wCoJLwMDDVyPVt0eS4sKMHUotAaS2YSh+oq5EsSVTq2FiqgsxB74h5DpsGiMBsj0lbtdymYbGJa3aqOrK4EpiDuvCULaDnsfFBcqvKq65FUiPKi1FD+o1K/UFQ4HIzV1lbHDn4MBx2SE2lbl2mhFN8jFBspyROZ64TE0bC8mWSvAqotUvRaIUQmcV/suSfZpjdHfWr/AGJQmOBuAWsz/wDMKCQbDLKIq+0ZmZj8WwQnLLS7hq0PCpXC/wARBI2zmZaYjrB2Jcvb+yKuZ0gBf6gkuJynIkuy2ZYq/bkzotGbY5GgciA3G3hLP+LgwrpsMS/3CXA1WG0Y5Dpoxj+ozdA5uVsKESUcQQbf6JdFDfJgkkwQpj8l6SuRfJry624gAtAqx3Eg/i+QjCGrXk7CNoh6kXZnyyb8imk+krqdVhgtw1NE7fYVtrkE23h9RQVbx5GkBcL2xBxxWyYRF5fJfPP2f/mYBemGipSWcbT+fIKq83/iUIqAFOeke0ahgHGIP/KJ0Myg1aPsxgAYhl7CJRoMfGucWTBzAlELsweRsC78MR1hgr4TNFaMRwg/MtdlQYDEcZiF5a1Uqum8xVT3NiAFLOzaY1VZCY10MxoB8iRUqstyxxbS9mVyuxnMogWcMYYti2AaeB7HKANrAqj0kcBD+ytdHh6mfsF0yg1+1xsy6xG9Zy52wcJk5wcI5myQPOx0HHo3LvVlmBRy0AzHm08f9j60xXkVKCQym1WbbjRAbVcQELr2I8lZiNF6WC6HqtRFLoR32yzHTOYDbbzv8jNZY/tL66Aw4dZym4QmA6IKfSIWurtQxuKy1llujTIGalh4KBA+2sdPgD2KNhz0SlGHyLKra+wrQt5ibUbWtyuFWhioCherlWyiazDLgDF1LK05kai2jNHjmB0HpjNPt7G32Nbl/PowIj32VgVRyXRUPuJg9vVkIs0WGD7GF769YYuVYqBTmaAJtowwDcHVVbGo+kCPal+oS6KVkSZWu5sHyEI0YVKlTU2GCYuIGwS8FY7KClBBskQZiFpD7LOWXFcVK3NSX7GOj6dlE5De5gagLmVvNdqJ5FqVo8kZAHLcKy2HMGhgYJhDfNstJSbNxrzDSJL4j7uiESaD/sx02MF1BtA6DUxXQ5B1MzG0vgt48m0hNgbjBqEwpCiJNJE4ECQz8RDJC7HMtSxXljely1l84MnkLpNuYHe8SV1DepXVf3yJa8w2xjoowffY7ehdeQj2uzTqnkWKVSwLQu9kaoq5FNzXjXnY9gvikMdx7Hrf1jq2XcAW8mfcR4/2LKUY2HdTCAum5Z0gfy4nsD1LfApt0nvwK0/kNDGKZea3MRGktlSYIcmoil03GQsXAyk2lOVFMbdwXi+fYMogNRrtw1g/1GyIcgxB9n89wCUrMjHtVDTUTiQ4xMBijIxZJbOIJELFokz11yMlYcZbmHGOgg9odZTetBCc7vAQlieLmGIexNMU+IGApiOEMFJdxKF+UuDbN+x6FSw19ImA5+wB9mSFSgfVhnqrb7CnogC8wRc8hAiRDie4HIjlr8gm1ThctORLqVQBWL8mYH/7K0dq37LYrbH2fywEN735DA6vsoHkapVGgjYDHNGZn4V8myV6fTyfznDmZ4lXlieDwt1LQKZySKV6f1GdUXczIZVXkYq9DOIEXcPYvpHvYLyB3ELQ2M12MJb94hd041A9+mNWA6rqK+naxvkReI83FWPiGKIyMXGEQm+EFaxkjKM6yQgyW2rVQb8GbhvCcD5LWo90amWS7CC/K6TKNxngmYlH81NFrsUKgEr9TbODwlSF3WYtXIKxDbc5yLeofZf4A9dxbEMeQA33WLJcOznY7qq5BoMu0jcrIwAG953Epd4JRrIbg7O+agqBbBTqUQQHC7Ffimmqje6cZwRWsOIWKzhVhrxZog6o6YkhXbh1wcYplXHH7KswvNMLqV1izJMIx+FXTdzOvA+yhSKwkyxUL7X8M3GDgvstpY2QapLzqUBSBk8jh/6hYfj1ewQ/oaHyZroReCrmozpBQEa1MVsuYpvMV70JQiBtaIhp8BicTlh7cj0m60/sAwrIoAheIUB5OsoQQ4TcVUPs7DDTnsfjbY2RBjEVFmQbS5cqvxib6JtuUSsMBFmhYa5Yj5uZwVG/WUI3RKExwuEOumg0wpqc1rDBgsq66S0KApv2HwKyIWYAVmCrGWrxuAbA4pGjBpMVDPRYgixl8l7RtdyioMxQXhKg30IQaW7E1AvbL3dpyaj/ANizlH2XG6jVSi4dRfgBFCTJ5jSwyVFogS5/xr/ycxoXKikaiqz/AGp0R7IP8kMNDroInsi70H8ilDpJciDpouKQk1TNxOqqsBwiINvLSuoPpE1j9qZlae/Yorb2NtWURTY1UJ+4Ronhyp78P8RgLxlUaNbqioWCWwR49+nYZTRi3HPvYlhNYim8c4nVTfyVpzrNy9QlV1Fzo7Lx2DKKRYj9hWBM3w+ShDS1cFV9+RriDQQ+Yj9iCUeA7Hpo2sRWsaqD3O3KBYXrBBlUEgrlDHar2DsgH4mq2/Y4XpWopTQb+zKuKltK1C+z8gKGAy7W1jXZa4PCGJC5bbXtCiD2mZF6WFVqtnkekhuskzTr5EcKx7EsqmZJoyxZyOxWevLEUHDj2UGE0k3+a5CBD3ssDIYWUhmbRcCJQ9KAlefWKYiufTUu7oyEUa5QDdZv2DyWnGdCfEwqOpbA068lka41DgMHMvaWhV1DOOwHkBx7jMuzjzyAaBa3mCsIIqU4DsRA1xDsC6XcKpN8xKiynJgpojLf2Filk3XJphMiybZty5lvQhsF0FE0gYUtJdtjGSw87ALSt0gXtatR6KzVVxIQRsyzPPclf9Q+S+mWYrjtaEGNw1AbMNgZfCKnAg6dMjsf4mdiGbBCLKFaMAGKbwlCRuSggPqgbJaV4hAybMoUyponTuFJEwrAQpy9jAIt+TEvGcwBtcRYzxQsK1Hmbpq8Q2RQ4fYwa10A19jvv/GZ0s7/ACLCBY10ghBnqpkWy5qXRGv0dglzRqClX/MNszOiF+yvZ30zMR0mQy0XcygYVW5uFolC2xg+S7/+RrSmIVVzDS2wOCsQKmf2DWjvTNSW5C8RAxsZ3CMG9xBFLH1lqVhklAH3ULFYAsg/ey1l8cxABl4lGRSYSDKI7UJg4TUFKhniDnBWl1hkFFOxYLztxuAfsV0KMOP+ImWzIEFjloHLEcxs3mNgYCLoyuqIkAXGoO1DBBgnZEJ/jK4oHYEQEqIi0MQhq3WJnYn81AUooq5j8S3KlbqOkS/witWvkMt4Af7gYC84YhBgWLO5esRhCdy2ZTY6s+zfpCyF2bGKjoDUIxm2X9YQSKqXZdvJj0gsxoo1DxFh1Mi3xdY8ZD5BKZq7Zoi0KV7rrFOJbeDp8ggXpMSkd3tHzYVeJ4OsYxHx3M4yytbIyjU0xNghmWp4nMdJ7+EySc/zHm9OkncAZpJR0SqlAcQTgZ3UUQvoy2bK7WEIzq/Yw+rQVhV96GTYN/Z4YSgYCkjN1H8/LPaEzVjkSuFmiClLex0sIDltIkuiXKI5YRwewBorARVtph05LYTbdIpa3Ez1NxTSLiHQ9buE3VqyVTZ6EOCgex1kVLIvs9jIhbRbX/hiIcQ1nsTLQ0lWcqIpIqzDCBG2UVD+GGDmvupYMta1DKEpvVxhMu6WoBdEapAsTjN+wUVjstqOOkDRZ6XEbdUWv4hoi/kfxC5YmKTEtbY2VmF0PI7jwEW4XCQ6ahGLS7xyVVX9Sy4EDVxmyxbg70XBlLQLrBuEKEQPWY6DD47B/uXdtH+YLS08Itgqew9wGMQKA0MvsC9V5qlFz93Cf7QZh4WdmCoEZuFqMWQdS7WWqr3HqyH8ojAowuS4AHJ2DoqLYy6dATM/wDBGurIyk1TFgj+9iK0fSJqp1EGtvIEDyVAYKmagluFxBEF2La5FBV19uX0y5gAmTY7Ghcc3KVGBpqUNCiwsIbG0fJnik8lBJTNsIt3tw3yUlnsWzt1Hwsh/mKg1PIPtlf3CLCUkRVyaYKRDbaSMoA68ghVmpktWQxHdwhWERCjgiNUGnsBzi42DkC5M7lzrcEBlRyM3NxQ08gMqV7BAK2tYtPydgADkCRFOS01QzXSAKwTH7KIDGyZiVv5Eax6EwK3LhTBuMqbrstKU5WRvw9lKoAXh2MC2uzkywa8cj7a32vYOQbjyEDSjsPaAVEhgTOWPPscDOkrhC2NxyWWxMM9SbbD/AAxyIctFgUQfLURAcUYYCbRjpUQLxrJglQEmHCHlR+Ec2L+JQC1OJUoBfaIDnIitQljGF/lluvjB5EPLHkxxeGK7LaFfMAXDcES3JYDdxszoJgJRvwP2WVXVlwOHsIZ0IGeXUCVlV/qARU7WULo2PIkVA5h0eFwWZCRCIG7fFQSgd43KGW9RlNujBwFC2IoNzJBKFbLBJPkRV4/kxlhUcQa3+QQW6pqPQXs2wrUQuO1wsQi1nbVyoBpcLLUCzkowHUlKDWL8jrKDTAADYgNhQ3PlmI27KwPCALnCuyXFZ0QDAfzitvzyJSDiblJiGwXIq1RGS0HL5Li/Y6cvsNrpxgC1sgFaeQWAfW4SL3Hy2zkvBU8ZkLSp8iEm4Exon+mGt2JzyUDPRuGaRaZxqOK0dPsIZFuKItgSdPI6jtLi2gHj2WBgSogErZGvYbwiW5E3iJD8XwhCAuvk9gdubA1YqZu4cL2GZOWqlB/cm5WeEBjhyZ0rRxMn5BEKwhEHZcK/ugY3YC3fQwg/Qlk0eEKMRc1BbVH7L6nC5FItWkGy86KPXZepfYT3stI+hB6X1iJSzOg3MSYeXAjsYcahsL5odzOMT+4rrQGv/k1CnNaJ2FkyPJV2tqdhbl+tRAhBpCAvAFucwzjh0waUpvc2IBgV7FyHviZNKnSDKr49ISrLNMwDfiK6rJdlshpdu/Y7QxJfIxhJu4KAN35FWgQIYeI8hqYCgPUQK6BFVEXBcNgPoeuEVA2u68mZUdmro7yNai4gMu3yHffmLgUSgH9QIWeUwVMrTKjABhuCMtPuvZ49EGX8zY7ZjPXj0iFFp+x78pYxco1BFbXUAiXt/uWm9HJYhaIjixLVSDUsZRdEqC0A12ZG61hqGEd0tywiVi3ssdattyqif1GyZOxgxXYP0FyzJCFpYzqofs/TIrqWfrQQCF25YkVkl8jzkH+4IG3kzbDaU+RDVcez4x0mSP3EVLU2uvZR2U3K1A/k1IHBK/8A8EdShDaMbDU7AFbmFsVuVkk3fzDFM2Qr+WJaWheS55O2uIsJJluItM+4Ki5mt0RioBXl3H7pioWojq8lQ/8ABBxCwwV+wpUZKYosG2lR4CLF+QQVcW02y9P0I1cvjBDYbiqxG4Cms3lyK3rs3uIFeHHyDe258uKTA8bgINr35EYv8QC3ErxT7dxBAp3MZQbvXyDIuFw7FHDepbQNvqcCrMBOVC39i7BQ7LlcnJRkg2JuOotsvKQxB8iMVvBCd8NJBe6apMSRZeStQKytO8nsehnwS1DuRgQMnItFoP8AEoDet59iU7Twn2WKGgwE9rNkAZg21FMTEVUHN9QS0GA+Rmw5K6NwxV0+cluV8S/MC1Ylg49jFat6hXvXPqLelBhNpBoFo4eiHlYM+olbLf0/kqxRWL7HMEb4uBjWrW5TcG/2VBt6Oo2WWcew9CC8mp5rVrEd+hiIvRb+JyjwubineIcpNP2KFDMvwfxJfCcQooGreyudGlYAgoP/AEl5r/0NqRXqy35LUh8uKKuuwnsv/RiNRnfmUJX3dqxLqYAA1CUojVLH8xLEvWaSMDQapanUKKivoYqiVC20HOMGxsdNsAu4bVkzTI+ZuADIM7I6aV5qVihp9nmJH2CIk8Gqj9Ba2igOjZogZLKcjpRV6zGkA67uUIhXzLFii5m4ZKw012WSgP4l219JQC7mEloLy7ggq/EtVPqCpVTgI7pt2o8tW3jaQ/sC1SGKqJfkuw6ciMW62QYbZsZSFfcNZf8Aw0Qi1+R7VHfJVAU+wprZuXGUc+x2iRsQBKn+58gV7+GfAD+vjNNGWuJcrr5ANN2dR/wFSxDlhnLqMbmUDMKAw9qKml7jVeWEVjpmIwP7iAQurmfQmxlwtWxZkYCBV+VFsY2geRJiMbORhev2ASgMBBcp2OEOlNg8h2lLIPIL4rY/JWi0m24jdKNj2Vi4n+ks9hNlRyoVbqoFSkcUlPlbuDch1ByKS5+ILY7sTcLi0+y//DURpNkWMxYlpkqZYNRRa1zCdrXyCAsp/kT08J1tLuT6G4lmh/bFl1GRY+UAZL3HWXtmuo6YtDcNqw8QK6EpF/X/AKw30HtbxcujBsdRroM1mA0s0cgCs/5RzWe1qoGUugiW2E6isIRAeXC8BOkDFVk6TE7PpKm6FwQBQtalz/camiBwVgFAG4voQu4uApyQgE6BqU6BZ5DDeAERz25vkXUC80bhomCLh4uAlXb1ghalPkGIfSYOH+RDAoFEQoRmQPHOQuF75CNUH+5SqHwiW/RYDEsyah12jK3ll4TJyXhP2C4ApC7l25keh8gUvMADegYCF4DBFz7LXK/IYzuPgbhuwYHsOQrRjU2F/a5DCkLGrKj1g7hW46+wYzM1cXYLr4gAtCu1iPBP6ENix4L2EKlXqXVZ+QC83Ea3GroMRkRdOfyZqASyKi7PDFRlDjVwewXLjRhmqQ9uzY6QJIENi8gJlapQn8GIgBToxVxtIWfZQENR1LxAFkqMUAKj19jGtlRAiN45cFAPgMaq6deU3/ISiTT1vLbKkYVuM+TLHXKfkRdEP6hWJbf7G0gTkoQVYzLx2acYYsTaXnyZcBcMs62GUQQYRi4eNi4yxyNREwGK7Cp1GR1+xVBRnKG/HpbCSrFttXAqaxj5KyLlLFBIhZUavmuJQ5avfiZe1MoTtJEQYrOz2LCmrFOYVE9VMXLlkviU8n+ohDyW1MBhq6iEV+5pwTCdlpvtv2Zn5vOo8fI7iBBALo2+xES7+TJPXEU1fSMLah6EppcFGxi3L6itXKVKrYQZQtCFcQYQXl6YvxtEdgMOEY98cAwXuMR1NpTPUbsioogQqXL7CAqwFRV8ibAQMmC2SJtNfWM4CmDkuin48hEukxuT/MbEd8ES8VORgAw1CuZt5Idd1/I/pNTQEMP2BAadsIW2f8xOtX1wzAvo0Jm5dUbjnw1UkZ2hd8S+yG6NQyBvFCmAFTbiBQM3KqkdTR32WAhdAuMf+XX9obdrIe3MMhwDyDbE2eywHqGOjVZrAT0tB/lHIJFzGybQgW0au0gioaKqHCjuMEOZ26aI47QsOiV76NZqJEFZGR2pEWL6OzdSNoQLPWIHAOZlnJX+0dEaIulXsZIxhtLlhHSNIoxaXAT4T+aiJUX0rUIIiq6cnuVpmNm9oYQEB17XxgQFHcNjBRqCqb1jseQ/EqXL9lyyVn7AgRY/JYZwMamypEIrUr/kKD8l2BcYzWPjF1LGDcQE6HkU8DqFiyn+4I+yKNExpiTAHK3NIRrsjK2rGUIbesRkWmMQ8od9H0g5lGCn8ZYW1+S/4mUDlh3IPnYVZwRn/HHs1Mh7NXyOCXRyOTMsKQ5GQiU+zaRTqAbGyG4aQ2MHOy+w6GWULHOElefb2WatY3GFgZs3K8pNDEy0MhKcZYyS80TsmAbWKj2+3Y5Sqd1H1FLvkXdKTJgMat0JkVK+RXusMS2E5LfJvTKRi026hYjA4svkQXZdQcQ3DHjvv9QsJV6sFXQUGxkW2sIWTSmYu0KMAQFn6pLQUsTLC81P+YyobmI1xHGexUm149l7itmmBtraeTUdD8hQFsjP612I7ONSol6OT95IF1NgovY1NiQyxyf2EjBHTBFoExXZluP13CoUL+4Nt6aJlvsYow+y7Cmkl9oLoewyIrsIlxK5ZW+UPaXy9z4oxoNY1cyoTu5QGkECVDCyUWh87/4M1cQlznl6gX7wQo6AvZEQZS5vNWy4wPQrEuXXJ9iSVSmPUdYLg4ucQbpsp6Shdg3KCQPYbd8fXsqyKwmk9JTQ3GNwyKGqArHZ0YYIFg5HeAwRbVeY66fHyIzp7H1aLh4Fa/YR7K1GUNmXD+ztGv8AcAUCz9gM4DkDA/VwagV0QZzTF+xlU5ouUdWHIWjVMqqozQDSQoXgZUkV3MZnUff/ACY5tuclqdHkHyCbYBsIkpFh/wDGU6JVbDdoHAW+s1dmjtjr/cQuOuSkQVLQY5mKdBFwwBywbKk72GtA43E/kaKhpmbCyVVKTZFaaqKIwJ7AmWWDdxUjcJE8K+w5EEijZtjYFdzuNBWuke8V2ZtigHkJqXxUcE0YzAoHC7gWh8OxCXtgGFaUut1L96MAbgO9OdlWymfI3wPVwz6HjAR41s7LIphiFgHq+Si9UxEMq5p3BMcuW2pW3607EUUx5AuoS1MYVb47MBOXHZKtpOxpWV1iCZrvkSLQvgEs7caPI0+X7H9j/iOZ0V/KOk4FPSK6P4wQQilcOsS1qnqXoDtIhbAwQAAAKSG/MDkluk1W/lAFLbjZllwXkJcW1L7Z5Nw1FABl+0vGZWv4hW7PxHRyUgr7CQNoMZhJcKXJglxPCyMo9bJcwKxqHVp5LALrCWroMTNHWNpUE6yol4buh7UrUgGyp2yufso0IjWoRbrTtlTQMaX89lIhUFcfdRtRXxClP5lAANLB2DYDycrbqCKMewbpItRKJTyDdeOJDoAdrEqeoMSlBpf1HAqdUOJere7rETNGCjsILPqsVCJyISsUKIld5Y8m6V12Q3mTwZj1Db8hWZO26lJorYRyghyW8/7DMvg6fsq1+nIyL3SNMW65F2y8rWkM3AbuYul7CNEGlUfqihbSm8QwVUarsZToYyWotVjp9GQZRoDwxbJQ1TGxtzqDYa5+RyCUaubGIGPUaJ4Jd/IkZyt1XkPJhBA0wc9SrrUzAV7B09SopZAxUQb6srMNyploYwTY6qKAU+oH8kjmvpXksEjT/MIEW5rkpF0c8lkMFZCYfVdBmJG7u+IUGh6MEx7OcMMCyWQuvvkqbabisDFwi1jswkM1EyjRMuy+9+4Fw/4g0DkNUqmcNn7LCkHlwKjr1MwH7PIeHmriAAXcIfS2wHkY2Q6RC8wteXEKlKnZcp3PxglDV9jMQLjBBcKmNorH5C3H+4mHNI7YaCVe7iCNje5eADFBTsZti7SKkbj+wmdH7M0MEcFELhuQANq/8XMaYvP5QQUDcKBeCoBdjEoC23IgSwKR4Q7hK6K5Kaj0QEuzcJoCjNmCdJa3ZfmDslMQxr2NpLO0GlljRXY+bDD7NWzx2O/Zm5al0N8i8b+YlrLMIzIBaZWlTi2YO2+i45TGfZUQbbxEHEVWY09r+G4/WWq1LhB29yuR68wml7QpNMB5EJ7KzDEG8iqUyoXKt2Qh12Go1K23ZPhsQzKmEdtJkwfjGXC+m5doQ24/sxK7mruMVFra3KvRu0vUsEG5mMFbrbMxTXHIMtUPYATA5WWbamEaCttxiMkXr4+TMMqt+RhhZQjAi/jFsBN8/USKTs4/kp0q8TacEr+vkAMAqjmZFMsAX+GVca4lAcf7iEEygIpUgIUs+xKIK9SOkMwl8WsmIXoKYw7lToMs9BzATTWo6KtfNw1uSqolRKv5Mi4LRLB1pL5Gi+wlgWZshEVclReQik/6Rayi1ewH4g1VdhuiZj9qZ/WU/wDyWLbPJcX/AOso0FA/2IRWqnVQHeECtkSMLNpyPfuWahhqLv7FaWLpRh7hgdi9pG7h/AePZgm6WvyaM2wgUKS19H+Ys7qG9RCri2ILgusj2YhlhT9hsBz/ALQ64pmom5jjB3HM+QAdXgmthKY9kwyYq/Iq+laGGtds0bl4RMq9i8aM57FhRaKbhkWciLJ1bDsAITeaJUWi3hjVEtExF7bhlXSgtsTWqwJhVQXt3ESLekIIZhfZoVcEP7lkziNnZcy1UFwkx0A+bjIgWOoSlaxZyW7EVxMpycgjoiF5kY+bCYGEYeNy812tWYxcvMVBb3+ihI2n5MdOqTcJ3NlDrRZN6RHNwAFg42TTDZoXMHilWDfIpFrZkIICA7mEVrXkoEyy4qaCkZWWUGlkSBcnGILuyzLRQme4AcTg8lArGZiOyVttVy1jZmK21FUMB+ItNsCkT4uZTyOc6lDUzj9zEwwXWTEr/wD0orUOq/1AtouBfFmkpbd1hqAoWGmjX7D5PCkOxYpPYQUqeNR4KjI8gMO7AROzyYl4RJipfEYb+pQ/4C4bq3TRLBSo2O5SON7Lhsk+vYKmxiVYf0o6oOD2W0GWliQYoJ0utvIVOkjVGRxfkRtKGQMEozHZKIgGfst0FuahYSLDKvejv1gNCgwb+xWbJcop+47DoSmfUGmOQ3GlJoRafTl98hIotg7GRLY1mDmW2Lj5MrOv7YzupnxC8yUMCVtY+x5lLbRchzdSwIVgPJUCCXWjHFw4ahs4u4pupaDZ9gMq3n2HAUO6m0y7a1HwIRQuvt5BCjyJqZLOl7I9C1ARTEm11Pg+SzKRuINQeB+oMsDd2ObOi6m1x19l4p/zLAUv/UNFSukXFY9XBiEpt+JkEXoIaVYTEuoDBkmr/wAWo5UUStLq4tLW4qayOVQvYvMEW0JNYS74Q+e8mll5ZqUFDj2MbaZ2x+zDluVM9j7YkLo+yy6t/wCyGvpM/UZ3TZF/NsxdqiDeWsoGOrHIKvNYl/8AnJXXhl3TslasG4TkAYuJBQNLLKlYMS8cmYUtzctZXgVqoA/iJI0mRjEW78Qe5TgdghpBX7GWZ4IIbDMspFiaiDm5qIIHFxpiLoisMnyWKFXyA6iBHa7tcTwhy3i2JbmuMUt0YUJVWXEFTFm/yLQH1gYCt5UvCWA3ah/GB8ZmG35qAm1Sr8gJYIwwFNrkOwRRdty068hUvWlGYqeWJ+SzaWxVwDnsDJwDUpT+0x2yPCKhY1RwhF3LNl1pLdNiVLVADS7AP74ELIMFEq+kpH+XGf1HKTh7LzeYDjK52P8AEMkR+RAbmCuQE2qisZv9ljTgy5J8MkqyI3cvmXBmZFGkr6K6oNJrj5ARhf2OjTbMB/5rBsl7pUKqj6jU1AN3MYQVJ4xHrbjBQ8LnpgZ9iFQJaSDookv1aDFgkSAM6fIQ2BARO/8AaJtbfxZRqwVYbjVbMd8gB9JjaJtTWpZXfFzFSGqhYaMUs/YTqA5eYNRRIHSvA/4mIbVR2NpQ7RKBsPstitKMUxqMf7RBBOkOoXn6S3kGFYWK0z9WmIfGrqCwjbbWIBJt6/ZWYXdbiAcHMQVoLtI+50PJj8ArEthGQHJZzVMVhWACrxVLgKXDNt4fyWgAyvsIz3ZolwKiZttYbH0MbQtq9hSVxXSCVljdRSBs1HYtpS8Yr9Hfkr4ld+wKJd7YIb9pwQe+wnAtT8K4vcHFT/mpSlXG9x5Wfb5Asq+R4ywQoJnHqKYlBQHkoXBl7/zJXRObRwkIpZfr/wDkDbgewcDYxEFy42xcCR+QP8VM0QLCNgN+GHWZvwf2YzXjMRLQb4x2wNdOwE2AF3fYOC1g3yHoGaIzfXkUJ/T2aN6HsAsOLDqBmM5gJf2yBCUYtAlZgW1ECsRCtS1dpibCYY2ARZPkYJwzAMmh/SVNOasgi8vETqbZmLj9YrQz2oiPQeeLljT+EQTeNVyOzo68liY2L+QhcCsz2JJQffYrRFy535AfySMVINexiXMBtjjIvFRlBX7WITC3wlQrbhW/YQoWQUrSYChn8QsQKBeQmAXJiA46HJhMrcMApJgp34Ewlb3bBFloUiE5XDmNYqjSxBf5IKh/UuhUvLFGAN32bDrqyqJS7g8HtQWUjGJUiS0NkJSE3hAoLHyUI24Kg1imLqMVaGJd7Bll6azUtenYQQt07K6F3yFS7RgFbJj7EgpjBKVuGDC+w72wsJa0i8kUAhf5iQYSkey3FX+f1P5RgziEibnYGRi0XcM77MFbipmhuo4SHxST7KK0yxEgcI3LDaYaggeQgW2uZZDFNPYtJC6qZidf5hvP/wBlypQWvs14OA4QRKJgzqB5AgvETyYEuyqzPTAJYfJszsQzIox+KeGZyzd4uZToHSxAXvwmJkM/UtL6V2USAzDOqDawiCy2ESiiTY+Fa7CIIMxw39LglqfdUQKzqH/wGbwY3+GUMKcqX6KN8IgUNthRLpt9oZU268mcm428i0ZSh1vWHenY6hazXSUgNsYYSIxC+svgAqu8y4RAydgznswywx6QwTTcZWKwYPYH4MIzyOTMwDFBSCKI6pmiBdFEE1tXAblXFOWyLc6cIz9mPdwlZQQeuD11GdOhjLfhNCK1sULt9l+brGY3sB1U0uBX7KkaRh+wkAJYNMDd/pWAL0c4id8DohSaFUvQob+woLa9/JvoOlYbFNSJYkYUt1j/ABEyty6dkbNqV8S4y3UryN7Ygm2IfiWjjMbtq5mTAgC/7SpVy1ZhBMCj2HQFU7jnCMZWmyKzMsxHAseRXlS2mokscYBC5xhXepQBLsAzAUyQDBEBsr8hlFjniYuAW4IT+Us0OSWZpj+4UElsHkbF+ndRhDYsTsubk3cdg57UxY3sS9YZaly1XyAtLLsfIvZDn7AJt0c1MnRpHMxaXcRRCZPIeSyky1tzyGvsL0zaOjmiLiAaSIZOoJVFq8sV0psbqBbrxTuIgKekelYLyUdCrPkDUgW/Ikzs41BLKPEqaaZDsuAKaORJXlfbUJInyIdiuo4tqBrEEZWLdqL0r1gSAC78jGmeLMe2KyGt3BqEdpdB9i2RF37NPHWaJVKl3tgkge1cXfHfsQWqbPZnqC3cPAUHD7Lk8WMe7YbqWzCX1MK84grFH9Q8DFa9hCaLtInFInRL+TLKpTtG1vNlEwfILTYPaiW50dD0ijMGgxAw4l4lEzyUeQhANShaVLLRGrTmMazfkTaScIlBcfZprrKNxBZYVCIhhfYhUsavUVNUtYn7BMaZfCFnIrZ5A9nz/EBvTNf/AImV1KZslKPZTnEMwOSn/G0F1bhSNWFykF2DMFeQo2wiYwWLhYK/xKE0cHsMITKCi1qOsQ2pZcrjS7hoCs7g7K4GJlqoW4bOWPEDWWUUdkxLG+Hz5KXfg3ENuBFkIHRLFccxNUBz2Wsx9Rta/wCEBxZMwbhvh5LritvIMMzs9lvfqEplo4fsokZrYyx0jDn1LFdmmHH5Go1uwTLfrsbugiop3bmLUWYimbeqjoAounsThNDM/Bs6THqorExBb5+QOkReOzPwVslcq9uiURhfwjDMrPJfLl1UCmpci11sfUfmrgdI3S5ZmegKt5CpZtmY/S5nFVaIWWC+RRkrkECVYJD6HxEW7xEozzr8M++c9OMphZcF0mPkvV6iWVNGpdrYiruem5VpH8glvifIYQLpIHtj25TpP7mzA0W9gtMhbDAsWzKXBqDcWIYzAIq5ihVaIha41Q+QGCWBnWZhc2MpsAlIzNwgbKsQ/qFYHMcN1ogxRQdJb6dptloeyhkrLCFpq4QVpzGNEaGD9GUBECH0vZyOiDNygoP2GWnB9ilnMy21uMDlj1YAJiOBdrxiOhi9TDZhZUEjW25YjSsSj1i4zMSuViu5ZKvglA5eE8i4suwtQhjaXMh/khYBW3yIViYEWEAaDTF5ge+QxZqxfAlApvh9gNF/3/wGTQNnpG8DAovUK3mLq5YUwGUIFTW9RVmk/lCfIiPJg2OAMyrba0YDWWH+4hg2UjcytQW3uJDg63DFguXC4tVFrHYR7H+JbxnriWzyY+x9GiqZmC2ZqoBt/RG4aujyA0WboNxyUotuOigdM1GcWUhDuoY2/wBahUHf2VSGhR/+lzMrN0qUMdkc4vRCM7mKvn5DL1ZWDnYgmiZt+R8mopsYqC3QPjD+0qWZhtbWRJmBnWNA349iNR92MHHkom5XLcReJi6FzOAsqOlFexqqTMVMJIKNJU6Vl9mS6zcGiwEQwz6YM8bXf2hBeWP7mAYXjAzoVUYI2i4BwHMY252b86YxqV0fIrpCB2F3jxFFLMXBvnoWEihQcQPdpiJCC2eoqHgICt27h1Co2R5XQz9PIfK9IBMjXyUtsMsvEaX5A/IL5MrVkBkKa1K/sKfILQnk65bgQgGUFlzkiZSdGI1in1MMdRYIN2DLiGIgtX2Iw0LAiekXRKcg8vkKhUYJh6wbmOwjkoQIgj2P1tjwjOCH9wVZDJ7CB+/hMkJqPY/PEyXiFlq7jEDYkrDFB0DJF7jNj5NUBTO0mPEdXrZezTsdg2EjCbjd9RsWVAkfOT+dVxgGrWwmEBC7G0hEVfeQPx7CC9SJGgHI/wCP7MWxZjCuoQMVpORzogBgSwORFTN2w1mXaIbnBCyiHd+oyKQS8dYoXF4Niu/kXuR6R1jKuylwm88mLWYXEZRzMQ8h1hzLGOxovB/8hlttuANXFQCoKVUpf2ghkDpBVlRv2VYUuBYA/wCEfG5ISCOG0uMO2YkpbpgYATK1Ap/AwMBxswnNobWXcqlFwSvMdZQ8DQRQKHZFp7rl6mCyhoihUK1LraU2QHeXvcJUBi/YNBpyQqQHSWdDFT2NsIOLtHcc6vedQeEo3T2VejoECDSisxs8Uzcs6GjX9xs4XtghTnuXwKM5LTcbQHZ2PrwyMIVEaq9QlDcDwRrjhg+iZgoKC7OJckvaK/S4YyQqu8whF51csTOR5EK0WQj+hZiAwIEZTm2WBDsVRtlAGheri7rX9heSUoYwzNh8MAwJpjU5m1qADhpmEorj7EvfjkYAyeQqoxW0l+jp5C4adEAUEvEanq9JgSbUf7ly7vyZ0rf9jqsMMOkuNJpcWCYlzGYgZmEiUOIOIJLLgEo18uVraJqpbPoXofSYinxjWGXMUwLOTyRwq5Qz/cCzOpXLUJG39mW7ubdqAmYIEAMKP7QarVuZSJNl4l9iZMGLJpqOxr4miTz2W7bhKQiuEYlHL/SEQMSyUKlqUzy1F3YXCW+/Dky+m32CKhhwSRew/LcU0PpCF/nBSsghUraUuWYAUDIG2GoPQspXhoBdwEWrt/IfDRRUPCgX7D1I7DswC2FPyLl/m414xuouZTwYJmgaICLbNwAS+GAyLbaPZ4GAcJZ5B0sZKJXCVOz08idE9XCoC2fpKYMmmFLUyHsJoKJioWkq9Mdcbqom2f2UwQ6l4KjDHuFd7M2T3FLGsJOcMskZrVcLoiaTfBcSgq1zTFzYGTMQB8BuHaVP8Q1wm72HdgO4Byt7GbOmxLvdmLdwRWhpIECUAI8SCBx9NeEYIwzNgHp2GFtewsY1KZMd/vkq8EULTcyAmIY60za2ggXFzJhMMveAMob/AIYvbJqMtHsNxRYdEXoeAYZ/DMjdMugzhjEVrHlxNLP6iDI91MF2j/4Mj1rxfynEhzbBMtCOruDTa6rkG9ILtmWxB2nuyXGEEaEYxqllp3EWQA1ZVUIsXryIz21KLvfXAhsqG6lTo/2gajHvkfKCfII4Lf8AUsFGWA+x2WKn1Fk8FJSromolv/DIx9EPZgjA01DoDfLZbtAv6icF/NQWuJwcmAbzsWC46niACmUslamHGC+PhEOmyjcdhEN/kzlkzrjcUGwNmEAwEuWE2bViscOQclqiDD1liGrOA+rMOJbl0EC1H6qEgps+xXainSARgUBKQSLAAGx4i0aM5ZlcqDIhFbHguRsCnErPMyOwxtuTDgLjcJav4ICC3EY/9zbIhVKuS9wHWtsHNzCAgrUIvvcoaYdkMf8AuDxkurjGPCsUwPYmIwK1bzxKWW9JKFjVS35D+pQp7AuTJEZo/mANvEopZAKDFyyxh+Qe+4jkNxs2mT7GVO+MzIOKFkCtlw6jOXySx/mX5yBbzC6p5TddXC3V4mBrcBzFFP8AKbSFshssDSCbINFEIwr8SjXLqRgZM4dQbN3ko3RvfY2Apv2XCAbHgiq22sJWZb24KdCQghZS+spe+arksJQGm9RikU1cBXz/AAxIAqzLEV1nDK85rcXFQ01uXMWaTEhQHq8q9iwQZAwBxvYcmOg+Mxx39MG9bBuA3dpHJzykE5UZfQRVncYFIS7g28RboCYIaPGHKOrqpgiX1sw6L1ncYqeCO6Gq2pGhFpPkwYriuxcb/PgiwfV9hV2BkIoAA0vYrVA3GyDW2eS8V4Zjo/xxi+1Eim4O3xb+wiGirg4HZ/UzJacB2IoQypiB1vb7DoC88jW4hgMFskmJkVeSg8ltrKrCMrkMO/8A/FIhM+xls4a+nsu5Y8CV7uZY805CcOGZ/kbUWS6x2YnMxVtxKXDMG4TjlhT4/wCoNu4GRGCZC1j7HMswq+mEY8tudhPwpEsf5/8AAfwwKcMsfSXTAYMav5QQAYLSpaIAql8jNbVlmkVML2NHrs3H4gRjgzdSJVIsbmBEzHmZ7uotzaur3CuHZeGUBY/CK4XYOQBhBenZhPY7HN5YZSVmXKHGQOIq4A4amYDxASPpmJPOg1cqimxV1EdXD5LAv7hJLDMyDbfyVcx1HIFJiGHYZCDhQCNBKxWCFtw3jyUwLXEZlEXHsywoaCEIcGPJyjHI+oHi7izkj7BoWWi8/sFo6cSxGGK1DzqtM4m5LmMCVcqIRxF/IGYLVOmJFFrajGjRUbFLxCFSl1C4ASpgWn9soHaRcXjiGJTC5cm4B2nIYUB4YhUUByEko0CBiUjsjyptK6ZcWlmeIApMX9grz/11GUF2v5KDM4pnqtYTZH2p3TpKxadiBky7VKGeQKS9xOtxAfZYCLcbpoz7H+0PuZxldlBhV3KSi4art/MyQeWRHFXkQbeIBYxZrcsb1AS7AS8Ar/lDjLcizWeJaoLyVEDwhpO4Cze6/Ik3JSq7HGdkiDAHJyF4nSXdBFS1nJVRK4krUQl9x7FAVXW5YsbtRRWn+YdVhT+5Wag1HkbLuYMGs+sdiefEGruz/M3ZGKuK2zxCNrGkhhBHbyVX0f5Qn8IImGT/ACzGpWiBj5TcQJAe+xxUx1YKvwGKmEtNgcMNDJ5B7KxaoUNMDHCwDLUJRuO//rRQAFaIgBGn6wGGxup1fk4MV0J4ZjiTHpLaUH5iFCReA9llbaxKPlHY9hhkSVg9EFRqu8IMFguqhCaaZXHF5/I6MM0mdi6h4ssh2UdxUwbVXojN0vajwcLAlAdCmOImKRwQwzibySw8RTePeTrhgj0RoQ/7GIVjxjQLH2NKW80x2DgQMMGDYiNxPxcb5iA8MS8P6gYBUMgJ/MTbLYzDuifyi4GGaxDARoluoUCPAuZdLhR/UQuDayEK4IGZw/raHUCpBISqs+QmfxJlGSw7CvyGxRUGI2cAss3Ky0FqmmBdyx60DZm4DAKxcayzVo1LANDcosdxlSoaHOJnmBdwUGgURyWBqaSqrMJyQx4Zb2WjMdQLBZoao5Hjz7fsWwcGrmE0sqXCj7URpaXaDvs1WyF7g3BFRQBAKmLgipXaFwaGaZcp/EfAB0wlNFBfIGHQUNrMSLWcMftKfYV+GoIzu9ksSFe8jX+kRiHaJ6wix8PIlfb0hGtnzcbtbPTUA6lFocYWcGJ/Z/OMPGKZXyCkC6SLqXumONmdxhcvRlLQSkSLfb2Q43WxmoHWU0UHsCKFkYRNstaBcWAG00PB/ctFp7ia9ONzWb2mGFDes9ieqP8AhhsN8lJXYJj/ADNaIwmmJEAZaP6QjTctX7A0TJMleILwQtmQszPdynXWCq17H2xA1ySmSlwpRIS0A2USVvN4yi9oPltGP7nowJ/aUGpGmYZIXV+RweQlPLW7GoBVcfErxBsOoIqtJn4ZZ2FtBSQIWvjNVh1LMbymORYQ7DKKdVingBgWiqcipcEZ4FPhDpQtOOTPWyh7Km3kH2XlS4oGh/LMprpWFOShKU4y94CGfUe2j2PJTFrfscD6XmElQPZZqhgafAYYLfjsKxBRhYVuznSVWy7uoN2Db5E0GiFZCs15LhFhio1/bqeYeEqAw46TC6DhqUSuadlL6hDANJczEV05L2YFowslmKpf12feYA8BVIeBMt+xN+sHJeOkBmEyF+QC/KwzQQuOopSPyKcW6pjDsf6haATUbRKjJyVCiPcC3+o1J+Qs3yG5QSrWToIjfro7mTNkqRLHZ7M3ItltSr8qWCkoCKg3HNGCqNSglt2NJ2DaGqhYMWH0xDG7l8lxFNjFS6rA3NaumCWuREP+RUp7P5/JSHYLy5m9an8MZhip1FW//VoLQ5N+2mEAufagoZS4Ix3W6isGQwQRIZpWX6ZqwIM2y08iUuvLiyDTV4kBzwkKVTp+zMTaVwiZUZgUyK6gq7JsGisMVg2hgvX5chFBatIqwC7L+TwZhVqUogIuWXiGS04hkhGhS5sIZRmTdAvLgg5HLIMbJHRl6VfsNtjLEVrBM8XEIkUnWxGet3GZt+RnWU/mb0oQjolU09hZVA0X2IjUaCAcp03EyquX/YBYOKliBaJGUqskZj2HUD7BrsuMxBYWPkzLXwbmKo4/3Gs6ouI1ZH4m3cLzEkPBCZQ7GWhLrsqBd1FQLI9HUKFsuchtpsl6ML9lCSfiNRyRfQA8l6E9t7hKoN9QVyTCjKdO3Lmw0jpg1d7F/lKykk0HUsLIVBuZ5LRlHkLxI6ejK8tpgEcKjFj/AImS1+SjSteS81/coQ7+RC01Dbn+IP8A9QrAQl4GUJUAyaiiXf8AUIvKZoIoP+5CXwahKarOTc8phKtF1G7+wa9OPZ/mP+5RoIIAUOpBdzuJbVczFKxE1zGtVUxhhAQKCA0GpjV4nPlTBxEg0sJYvOHcBYAt3UzN5mTnkImll6YRtNGPkwwxe6jW57Bb5mqsY5Kxe3Nf8TE1j8nbuJnl5GWg5ciBQGyAphob/JyY6xiL+yZq5gAgBwBRqbg79+QiUHDf7MRMBUam5/8A4gAlYhBAB/8A7CVKKqNuchgsf1ACx1/3MRXs0/X/ACb/APx1COp/z/4f4TMKsR/1RWs4TfMZmfF4n/H/AIHf4hGqNaLY8gCAOAnf4f7n/EwCoZPxFg/T/sAIXR2P/lbfLFh/8bfyTaH/AGHfyapU/wDU5/P/ABHI6/sMt//Z)
Dispositivo baseado em silacio em desenvolvimento para uso em computadores qua¢nticos. Os eletrodos de porta mostrados em azul, vermelho e verde são usados ​​para definir os potenciais de pontos qua¢nticos, enquanto o microama£ na parte superior fornece um gradiente de campo magnanãtico. A imagem foi tirada usando microscopia eletra´nica de varredura e as cores foram aplicadas para maior clareza. Crédito: Adam Mills, Universidade de Princeton
Pesquisas conduzidas por fasicos da Universidade de Princeton estãoabrindo caminho para o uso de tecnologias baseadas em silacio na computação qua¢ntica, especialmente como bits qua¢nticos osas unidades ba¡sicas dos computadores qua¢nticos. Esta pesquisa promete acelerar o uso da tecnologia de silacio como uma alternativa via¡vel a outras tecnologias de computação qua¢ntica, como supercondutores ou aons presos.
Em pesquisa publicada na revista Science Advances , os fasicos de Princeton usaram um dispositivo qua¢ntico de silacio de dois qubits para atingir umnívelde fidelidade sem precedentes. Acima de 99 por cento, esta éa mais alta fidelidade alcana§ada atéagora para um portão de dois qubits em um semicondutor e estãono mesmoníveldos melhores resultados alcana§ados por tecnologias concorrentes. A fidelidade, que éuma medida da capacidade de um qubit de realizar operações sem erros, éum recurso fundamental na busca pelo desenvolvimento de computação qua¢ntica prática e eficiente.
Pesquisadores de todo o mundo estãotentando descobrir quais tecnologias oscomo qubits supercondutores , aons presos ou qubits de spin de silacio, por exemplo ospodem ser melhor empregadas como unidades ba¡sicas da computação qua¢ntica . E, igualmente significativo, os pesquisadores estãoexplorando quais tecnologias tera£o a capacidade de escalar com mais eficiência para uso comercial.
“Os qubits de spin de silacio estãoganhando força [no campo]â€, disse Adam Mills, estudante de pós-graduação do Departamento de Fasica da Universidade de Princeton e principal autor do estudo publicado recentemente. "Parece um grande ano para o silacio em geral."
Usando um dispositivo de silacio chamado ponto qua¢ntico duplo, os pesquisadores de Princeton conseguiram capturar dois elanãtrons e fora§a¡-los a interagir. O estado de spin de cada elanãtron pode ser usado como um qubit e a interação entre os elanãtrons pode emaranhar esses qubits. Essa operação écrucial para a computação qua¢ntica, e a equipe de pesquisa, liderada por Jason Petta, professor de física Eugene Higgins em Princeton, conseguiu realizar essa operação de emaranhamento com umnívelde fidelidade superior a 99,8%.
Um qubit, em termos mais simples, éuma versão qua¢ntica de um bit de computador, que éa menor unidade de dados em um computador. Como sua contraparte cla¡ssica, o qubit écodificado com informações que podem ter o valor de um ou zero. Mas ao contra¡rio do bit, o qubit écapaz de explorar os conceitos da meca¢nica qua¢ntica para que possa realizar tarefas que os bits cla¡ssicos não podem.
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"Em um qubit vocêpode codificar zeros e uns, mas também pode ter superposições desses zeros e uns", disse Mills. Isso significa que cada qubit pode ser simultaneamente zero e um. Esse conceito, chamado superposição, éuma qualidade fundamental da meca¢nica qua¢ntica e que permite que os qubits fazm operações que parecem incraveis e sobrenaturais. Em termos práticos, permite ao computador qua¢ntico uma vantagem maior sobre os computadores convencionais, por exemplo, fatorando números muito grandes ou isolando a solução mais a³tima para um problema.
O "spin" em qubits de spin éo momento angular do elanãtron. a‰ uma propriedade qua¢ntica que se manifesta como um dipolo magnético minaºsculo que pode ser usado para codificar informações. Um ana¡logo cla¡ssico éuma agulha de baºssola, que tem pa³los norte e sul e gira para se alinhar com o campo magnético da Terra. Mecanicamente qua¢ntica, o spin do elanãtron pode se alinhar com o campo magnético gerado no laboratório (spin-up), ou ser orientado antiparalelo ao campo (spin-down), ou estar em uma superposição qua¢ntica de spin-up e spin-down. Spin éa propriedade do elanãtron aproveitado em dispositivos qua¢nticos baseados em silacio; os computadores convencionais, por outro lado, funcionam manipulando a carga negativa de um elanãtron.
Mills afirmou que, em geral, os qubits de spin de silacio tem vantagens sobre outros tipos de qubit. "A ideia éque todo sistema tera¡ que ser dimensionado para muitos qubits", disse ele. "E agora, os outros sistemas qubit tem limitações físicas reais para escalabilidade. O tamanho pode ser um problema real com esses sistemas. Ha¡ muito espaço em que vocêpode colocar essas coisas."
Em comparação, os qubits de spin de silacio são feitos de elanãtrons aºnicos e são extremamente pequenos.
“Nossos dispositivos tem apenas cerca de 100 nana´metros de dia¢metro, enquanto um qubit supercondutor convencional tem mais de 300 macrons de dia¢metro, então se vocêquiser fazer muitos em um chip, serádifacil usar uma abordagem supercondutoraâ€, disse Petta.
A outra vantagem dos qubits de spin de silacio, acrescentou Petta, éque a eletra´nica convencional hoje ébaseada na tecnologia de silacio. "Nosso sentimento éque, se vocêrealmente quiser fazer um milha£o ou dez milhões de qubits que sera£o necessa¡rios para fazer algo prático, isso são acontecera¡ em um sistema de estado sãolido que pode ser dimensionado usando a indústria de fabricação de semicondutores padra£o. "
Ainda assim, operar qubits de spin oscomo outros tipos de qubits oscom alta fidelidade tem sido um desafio para os pesquisadores.
"Um dos gargalos para a tecnologia de spin qubits éque a fidelidade do portão de dois qubits atémuito recentemente não era tão alta", disse Petta. "Esta¡ bem abaixo de 90% na maioria dos experimentos."
Mas era um desafio que Petta e Mills e a equipe de pesquisa acreditavam que poderia ser alcana§ado.
Para realizar o experimento, os pesquisadores primeiro tiveram que capturar um aºnico elanãtron osuma tarefa nada fa¡cil.
"Estamos prendendo um aºnico elanãtron, uma partacula muito pequena, e precisamos coloca¡-lo em uma regia£o especafica do espaço e depois fazaª-lo dançar", disse Petta.
Para fazer isso, Mills, Petta e seus colegas precisaram construir uma "gaiola". Isso tomou a forma de um semicondutor fino feito principalmente de silacio. No topo disso, a equipe modelou pequenos eletrodos , que criam o potencial eletrosta¡tico usado para encurralar o elanãtron. Duas dessas gaiolas juntas, separadas por uma barreira, ou portão, constituaam o ponto qua¢ntico duplo.
"Temos duas rodadas em locais adjacentes um ao lado do outro", disse Petta. "Ao ajustar a voltagem nesses portaµes, podemos empurrar momentaneamente os elanãtrons e fazer com que eles interajam. Isso échamado de portão de dois qubits."
A interação faz com que cada qubit de spin evolua de acordo com o estado de seus qubits de spin vizinhos, o que leva ao emaranhamento em sistemas qua¢nticos. Os pesquisadores conseguiram realizar essa interação de dois qubits com uma fidelidade superior a 99%. Atéo momento, esta éa maior fidelidade para um portão de dois qubits que atéagora foi alcana§ado em qubits de spin.
Petta disse que os resultados desse experimento colocam essa tecnologia osqubits de spin de silacio osem péde igualdade com os melhores resultados alcana§ados pelas outras grandes tecnologias concorrentes. "Esta tecnologia estãoem uma tendaªncia cada vez maior", disse ele, "e acho que éapenas uma questãode tempo atéque ultrapasse os sistemas supercondutores".
"Outro aspecto importante deste artigo", acrescentou Petta, "éque não éapenas uma demonstração de um portão de dois qubits de alta fidelidade , mas este dispositivo faz tudo. Esta éa primeira demonstração de um sistema qubit de spin semicondutor onde temos desempenho integrado de todo o sistema - a preparação do estado, a leitura, o controle de qubit aºnico, o controle de dois qubits - todos com manãtricas de desempenho que excedem o limite necessa¡rio para fazer um sistema em maior escala funcionar."
Além de Mills e Petta, o trabalho também incluiu os esforços dos estudantes de pós-graduação de Princeton Charles Guinn e Mayer Feldman, bem como do professor assistente de engenharia elanãtrica da Universidade da Pensilva¢nia, Anthony Sigillito. Tambanãm contribuaram para o artigo e a pesquisa Michael Gullans, do Departamento de Fasica da Universidade de Princeton e do Centro de Informação Qua¢ntica e Ciência da Computação do NIST/Universidade de Maryland, e Erik Nielsen dos Laborata³rios Nacionais Sandia, Albuquerque, Novo Manãxico.