{"id":11238,"date":"2022-06-29T11:03:19","date_gmt":"2022-06-29T11:03:19","guid":{"rendered":"https:\/\/aishwaryacottons.com\/?p=11238"},"modified":"2023-03-07T12:35:55","modified_gmt":"2023-03-07T12:35:55","slug":"bitcoin-hacking-quantum-computers-are-no-threat-to","status":"publish","type":"post","link":"https:\/\/aishwaryacottons.com\/index.php\/2022\/06\/29\/bitcoin-hacking-quantum-computers-are-no-threat-to\/","title":{"rendered":"Bitcoin hacking: Quantum computers are no threat to cryptocurrency"},"content":{"rendered":"<p><img decoding=\"async\" class='wp-post-image' style='display: block;margin-left:auto;margin-right:auto;' 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enlSr+uJCM5+CHKlhSdN8wZheb7OTlkJUfchSx\/8cIvT\/SvU\/MdMQqn5LqVlAWW6wWgf\/XbBlA8JusNUeJfhwKe3fkvyLkD6JBw9FruSDk\/b+1Su9IUU7o+dMl3xe5Ky43syHoRlinJSPI4+lKl\/WyUg\/vgTr3jm1gnILVIdpNIbPAEOECR91lX9MT4Xg6XHjpdzPqBEjW5Wltsf1Ur+2LBvQjw95fbK63ndU9xseZKZaR+yOcFNWQ\/4T962b8ECTmktmHxF605h3fH6h1ravulp\/opP2QBhfzK3mvML6uvJqVReUbXW446T+t8apazB4VMrIIg5dFRca9TGU6SfqvFZM8TOR6USzlTTpAt+UrCGx+wODdnu8Tij2txwlv+KzZD0y1OrTg\/h+VKmb9lFkoB+6rYJ6T4YtYqg6lyTGYiIJ568jlP2SDhmveKDN819SWKNTKe3by7rr5+vGAHMmvGo86U4lvM6mWb2AYbSkfMA9\/3we7qxYsvE34JiAc\/St0IeWvZAH3oxgeD6tSot65m5hkDhSWm7\/uT\/bFPUfDZorltXVzPm9TxSfN1JSWxf7WwMzc\/VqZTt03M058rNyFyVe31thcZrrNFdiKBdLj5JJJVc3widuba6QhaTuWeR2odb1w094ROPKnN8P4V8pt9SK3BluteuxTxJ+vOIkrxE6WUJGygZKdVzZKhGS2k\/f8A5YzJJmSWLEMOJSsXG8d\/pfH0Kv8AxENw3mS0lRSVr47X9MUdnas5CklCugIwT2npXTrRT8Slbh61o+ueLLNtLgBeXsux4rajYdV7cQD8gMLPMPiR1VrilOuVGPF3c\/hNC\/6qvgLq0thtLUYPoUBwqx3XA7H5Y4P0pupQkvMv9MqO0WHA+uG2uaa57x7vZwPhGNw569qX262GQFrTyeYqZO1Jz5U0FdRzHPW2e+x7YP0TbFE5XZTjwefkuvFJB\/EcKr\/rj+qUNcFhpoPpVuFifW2OcChs1ArPX2dO3YeuJ33e6deTZIyvnp688UaHW9u8iBVsjM4LQWwgJUO5PNzivcnzKs\/dxQJxCEVDbqmQsKKVbb3+eLD4ZVNWjlJK+Bt9Djt3U7q8KUXE7RgxQi2mmspABPFfioklJCSoWPqO+LZxESNDARytQAHvfFU9Mkx3B1eyuxxzEp15Vwk37YwVctW25CEHccZ6VgtpTu0k8dq+y08+6VWF1eg98XuU6nNyrmem1lBWy5EkId49QDyPoRcYpIzktt1LyEcoNwMWMuS7LCHFNbdo7XvgZhLRSXFH45EDvXK1KnaOIrYXiUoNOzlphQNYcmr\/ANfpJak9Ro3UlHFzx6pIB+2B7xJMx9a9Ccn+JCixkLqNOSKHmVKByhwflWR7bu3yWMcfCZmVjMdKrGkdfc6jE1hxyGlZ9FCy0j9b\/rj78Nio2VdTM6+FPUNZTQc+Nu0tlbxslmYATGeF+24bRf32+2GF04othxCYIz8vz9hXdiS2jw1KlSP2NK7SmrI1H0yzPoVOF6i31M05UJSVLVPYatJiJ9fx46SQPVbDYsScIiS2mI4CCR63+eDuoQc4aJ6qqabdXTsw5Pq\/4bie7chhy6VC\/cEpB54IOLzxD5QpUaqwc85SjFrLmeIP8bpyNtkxnVKKZUQf\/wBMhLiB\/udM9lDCJCXFOKCszkfnn\/en+5JAKabuaaYPFF4Vadm9jbJztpigwZtuXZMBIFlH1Nk2V9Uqxi5kpblfDE2N7\/bD98HusB0y1OapNWcSKLmNH8MqCF\/ksrhCiPkTb6E4FfEvpMrSjViaxBaIpFQcVMpqwPL0lHlF\/wDdJt+mOnEQhK0DPWsG0KbcU0s45FBz1LQ9FDyhwlPA9zgTmMMhZcUkBQVzgyp834uIptHKkCxFsCeY40lEjfsG1XoBbHuoBKkBSRWNgtXiltZovo9Yhs05DaVJ2BNiDbFMqe3LlOhA4B8v0wJpQ+kWClJHyJxZUtKuqklVtvzwIHXXkhsiAKJTp6GCtyZmptUjqLYdSPy9\/nin6\/y\/fBw5EjPRAtI4I9+cCzlLV1FbVi2424wlvbVxpzFa2d2hSSlXSu1XQpUhSdtwDxitejO7d44t6YK5dKUuQHFE272tj6aobTo\/Jc4+gPaQ+t1SRxNZi8CEiKD2VFNgbEj1tj7fcJTcntguTlWzalIbBAPvfFVMy7LuQhvi3tjx3Sbptgpia7TeNqXVAhQPexGOiVe2LOLl6S4shaCkpF7W747ooyUOdNwd+4IxLq0W4jcoRRSr1tIqhuVq2nv7YlRyG+Cfpi4eyw6E9ZkEp77bdvpiCqOWvItJNuPmMF22gq2b1Gs03yHMoNfrbhuLkW9L41d\/o4q+5TPEXBb6lkyqdKYI9+En+2MpNxFLB6YuPbD58Fb8uj+IPK8hKFJSt1xo8f5kKxwrSSy4CUzWdy+HGFCeleoErStvUXI+cdNzNMVeZIFUjBYF9hjVNMtBAPH\/AO\/VjH+avCn4ZtN69JoWbM8TqpU4Swl+M26eFbQbENp44I9ceguUW3YWYqRLSnyya7OgO+n4b9PS7\/8AOKkYwt40IkfLGvtb6Le1yWiPJAA4IU0kf1TjjS2LZ69cauRiJ+8ftQKlueE2WlESOnlFBSHfCzlWQpqi6USaq4x\/O8wCD93Ti\/putMCmwXKjlDTKm05ti4T1FJAFvkhP98KaRmRDsNVPag7pL1wF2AH1OOUxEyiUv4czW1\/EC60k9goc2x9A03Q9LALqB4iUpJV\/t2k8DzPePWhXVrVCFYUT1MyOtOyN4u8+uwumzKpkEkWCWWe36k4H6rr1qLVUOLdzVOcChcoZX0wB7+XCQbpoqJ6dJkpC0I3LJPrjoG67Rqb8a66godIRtCux+eJYPXrSPHS1tbE\/EEgiBz96J9ztRhH6j0NFVY1JnzkkVCbJkLJP+1eUr+pxX07UV2nhbSY6FBz\/AHuxwKR4D9WebYaUC+6onzGw9ziLPpr9MlLjPlO9FgbG4N+cKndS1pCU6kCdgO3cAImJj1imaGLZQ8AgT2q6n5pkvPKCQBu54GOkCbOsJDiCUevOKMU+aWRMWwsNX\/MRjq5JltNpAUsNEcccXwE26XCt283QePQ9c1ssbgG2yOxozjTqe8VGatCUhJIufXAvWKk08p2NHb8gNkq9D8xiAqS6+AlO7jvziO4HdxSU848fum1shm2bxP6jknyrFiySyrepU+Xao8tU1TBAccCU+xuBj6ydl2kVqe9\/GqgGENI3oBVbccTkT5bNPdgiIlQcvZR9LjA8qg1GW4G22l7lHgJvfDPSUM6dcNXIG+MqSQQJ7efeh793xWVt7thPBHNd5FVpMXNMdua2h6mRZPnINypPvi\/1pzdpzWjATkWEGXGkDrLQnb6dsU8XS\/M00hDVIlrueLNHnFsvQTO4huzVUCQlpCdyiUHgYrLv2qubhtxh1Q\/qd+RxgcDoIkYz3qcUxZquWrneZbBEA\/CZ6kdaVKppKrAHk82xfuw5SqdHdN0MrtvI44x+u0BuCVqeYUVIUQRt9Rhg5dQxNpzapcfYwwgk3SDzbCOyt3ri4S0DlR5Jx86I1LU0soS43kA\/kUvZ+X5RcYebeKmFJBWd+4oBOOD9PbbqDUaPILaVcOKQs4tH5pqVVfj\/ABwjxm1EtgEdh8\/1x8UmmR6hPVGdnAgkgK9\/ngjUbi2t3C9btwmeZ\/48gRkA14LlTaAp1XA6Dv8AzXOuMQI4aiwV8gBSjwdp+uIzjjbhQpyUVFP2tixXkyorqRhRUqeSTwsC4OLOXp1OgoSuctLNxcXFsKr\/AFlN4+pxICN0QkdI4rEXtq0EoK5J+tVMOVAfnMqlth1CTylIvgqq1Pj1R+MzlumlS3ABtSLG+BiNCVTZHWQtDgRcd8XtKzPOgTU1CEpIcR2SrkDGqLpaAppxMhUZ6\/Kg7xLhUHGOgxnHzFFsDSCtsMfF1xKIrRA4JAI+eKdlmlUOovx3rOpULIXYKt78fPE6q50zZmWKGatLW0hwfhixSCn5XxEnZRnJojNZbdS9faVW78\/P1xSaEp62u13Nmz\/7Q3fF0B6mY74jNIGnLkY1F0SrACePrXPKOaX8n5xh5kpn4K4cpLyUg\/mRflJ+RFx98PHxb0FqfHyh4hMlqWlE5DIceaFi08nztLuOxBuPqBjP8ClJlVNlmQ6Wmze6v7Y1b4fVU7U3I2afD7V1pf8A9WXNo7qjchQ5KU\/NKwDx7nBTzTj9sq9cICd5GI65OOw5pu3eptn0gZxn0pd+K+DE1QydkvxPUWM025maMKTmdDXaPWYwsSofy9VsBQ+Sfnig0qgp1e0dzLo6631a7QUPZsyso8klpv8A1+In1\/FZSHEp7b2Pc4LtFJkHMjOcvCpmd1EX\/GKFopIf4EPMEa5jm5\/L1NpaPvdOE9plmSt6W59ptfhNLjVbL1RDimleUhba7LaX8iApKh7EjCtOnBt5dkhQJTBSf2\/lJ8vWnouiGkukED8\/7oGyjkKXmOtoahgpXuBBA5+WNsavaEVLVvw4xas6nqZmy4zuTx5llI8w+ihz9bYVuuNIpWkWqcPPeTIpGT88xG8yUWyRtZS8bvRuOLtObk29Bt98OLSXxKxaxPby1LSlMWrtdD5BduP+GLR3TGb3R2ntOQCeVz+rHII8s\/MVG67q2t2WrMm3SCx1PavO2ir\/AIc49HkDYtKilaTwbjixxDrrvxUmyWlbP5TbgnD68R2jf+C9T1VdiPso9ZdL6SE+RDhN1J+XuPriPXskZdXlj4hr4cuBAUkp\/N2xKf6M49uCCABx51UXOsMWT7a1Akr+1J+i5MbqUcOuLWhSxcWxGk5XMZ5SGyoFJtcYu4c+ZCZMZhztcfTFVIq1RjyC4+Nwvfkf8MBrsWGgAs5o9ty7U6r4xHQVzSxVYqFIIKmyOCB2xVrcfCiLeuCSNmeG+Ay8kIJ98TLU1Xm2tm\/N7DGD+lsXMFtXFeG5cZP9RGTXV5YKQDtAt6nHOMG0rCi4kc2xJrGVq9ACZUpu6Fd7E8YgxkOBAPRsb97YpHrh83J8dBTHevzfhrbltQI8qIoC4iklCiVfT\/liwRTo7zZWmGso\/wA2z++ByGt8LI3gD255wwqFmOmQaYluUUpUBZQUL3w4s71u5SQ4QkDvS28C2BuSCo0NSKVHDailodr4CqvS5YfC0JVtvwU9xg4m1FqRLddgkJSeyD2P0x+oVGk7ElsJdPdJGFl0lm9OwGP5ohpamRuUJ\/ihWj9XpdOSm6e2+3bHSo5aYledA81rggd8MaDplWanT1VCBCUG0i9wnk4H5MKRBfXHkjpqT5SfTHa9OXbMgOJgHrQ9ve27z58BYkcgGhqm5WDditCR8\/TDv8N0GBTdVssS1gBxue2O1u\/H98LuA2EL6SwLHkX5Bwc6ZlNPzxQ5aCodOewrv284xzZMiNqRIMgz0oy5cKkEGvXaIpqNANQRYCNVaXIv7BboZWf\/AErVjInjypFLVrpln+MER4NQpbXxMgdwlLi0n9OMazy8f4jlCuNAXWqldVv33oBUk\/rbGXv9JXSzJl5FzNDO5D8edEKh2OxxCh\/8jj5tpdwvT9VC085B8xAMfY1vbt+82KU7ogHPUEkiflIrM2uNN00y7UaanTepfF7W7yShzeEn6++FDUar8aSFKUlR7k9ziZIb3JuRtcva4\/viBKgJDIeW4NxNuMNdSvbm5J2EgEfh6Z+VEaTYp063bYdWpxScblZJzOar2DJbkJRHcLSlnZvCtvB98WdYpNVpr8eGt9yU2tO5tQB2fO2LbJ2WGKp8XPqSXDT4TZW4tJHf0Hv7YjmVV6xGXEpYT8PTruJ3WCgnmwPvxfA9tpqU2JL4Vucy2EySYPxfDxtI69xRjl3L5S2RCf1TxnjPcdvOotVhGmPRBCqAU64OSk2KFceo+uJVepcWmwUNy3lvVRwhal7iQRf1JxRdXqpV1d3Vvfd74\/FdVXLq1KPYEm+BjqTAZfaSz+uNskkI7mD\/ALj0PSiEsLlG5fHOOf8AFXtKkyJUduAuSnYT+QgXxX1KW8pP8OcCA2yu1wOSBj5hRpLDzZU2oKX5kH3x1dplQmy19CKtxRIuEi\/OEy3rl1uCTEQR5VkgNt3BUojbz2zVpUKfl2NQ4sulyHXpSjZ4EHak\/XDp0D8M7eqtEezDUpSorLSrWVwCPthLwKRVohZjzGClhTgUUKT3I98ax8O+eqzKTWMqSQmNEXFuwGxY7gO9\/tg27vLY2inwdhSEwlIwT1yZikGoXzjBS00oKBJyTx29c0T0fwq6Z0mS2mrBLyQoXK1cKH3xez9INJYVQiSKFSGtkZ1KHh6c+v7YC9TKNnCZTYGZ6fMdTDZSQs9SwuDfBVkaoPV6M1DjqC3p8ZKmxfutJv8A8cYOi5TZlxBmYI7ielS41AXLxSTx\/wB0Q5kl5AyS\/IL1FjNIjgKTZoG4OP2kV+kZtjiLHpzLUWc2pr8qeD25\/bFPrnl2QaTBM1CUyZMQsuISoHzgYTGiuaaq1VZVEny1rWnzMpUeUkGxH\/XthULBBYeubgq8UQUwcec\/4rG51J5q9DSSPDPlmCJH70k9V8mjKWd6nAeggttPqUOOLE3xIpj1DqOS5sZmGwh9I4BAv9sbFz1oXQ9T6lFrkSptNSpMYF5taOxA57\/O+Fy74QIpkL\/hmboyXFGxQpsgA+2G9zdWjiEl90gkDgGJgGJoZbL9wdiU\/pMj4h+01g+blpRkvDpLISd3CSbD7YjxVMxVFCGzuQbBV8baqfhj1CyaiVLo9JgVpLiCFbPMQPkMIGXp1WxVZmX3Mnvu1aWs9NpDXmT9Afb5YZ6MhjVnSyHQBBIOTJ7QBOadq1l5lBF4gpAjJgDzM8Y9a76PU6dXnS7L6bUVgFTjp5UB8sVGp9XhVKRIg06YH246vKsHuMVrqc36aViVQ56JUKR0wHIzqCLg9jbEdFHcqFFk1IRVFxJ3KJ4vga70pm0Um5Ws+ISQUxATxGZkk+lAoaaFwL4qBSY2kGeaBUl8kpST+uLmgUWp1WUmFDaJdeUEgq7fXEqit0mVGliY4WpaBeOkDyk\/PBnRq82\/KhNR47LLsZIQotjlZ4+XyOHXuzLDAuXXATghAySN0EEj9JjOelMdQvltpUlpGR16cYPmKg16mVSmVaHSKnMYdUhAN2+AL\/fD70S05y1mZ3+A1OcN74HSbSb7jbsMJfNWWHxJNTecdBeO8Em5\/XBpo4ipxagqsQauIz1OSVpDn83GOdYuVa06bltxSAevJgdJ6wBUhqT6fckO7grbkiIBPy4zR5rFpdl7TKspUxGT5m9pSCAfr8sB+i2YpVF1NpeYKDsbchSUrWkmwUkmyk\/MEXGPrOueJmcZTsisVByS8HCjcRwLcWxz05jUqj53pNTdjOzmXHtrsZvurjg29cM9Evbl5LdnerK07jAgCZx26ilTrqre1deQCFAfCCZ4EgSf3NTPHXp5O0u1opermUHnosTNaUVWJJZ8vw09ojcEkdjfYsfU+2BzXxmn5ifouvmX46WIOocMy5rKUgCNWWCG57Yt2CnLPJ90vDGq9WIlF8Sug+bMk0mLI\/xDk29ZpbLrdnVKbSS40kfNBIt6kjGPNGZqs+6e5s0JkOIEuc2a9l1ThP4dUitqK2Ej3kR+o2B6uIZ74GCXdPd3OYW3g\/8AxPB+kH5EV9H9m9RVr2jNOuCFEAKHYjn\/AB8jRrpRNZ8RWgeatEXEoezPkHq5ryqoq\/EeYPE2IkeoIssAfzH5YRWUa69BlNJbdKHGVhbZJsQQb\/1xS6Mam1fQ\/WChZ+p6lbqVNCn2jwHo6vK62r5KQpQw8fFFpXTckawRszZPDTmT88MpzBRnGhZtLbvmW0D28qj29lDBGjay6zcqROFGfmefrz6zTnVLNHgbVcRj5U7MzU+FrpowmQlKDUG2bg+qH0D+5\/rjEX8TqNOnP0WclxDkZamlIUe1jYjGgdGdWoeVcy\/4QkOhDFVN20lXCXAP7j+mAbxU5Ray\/mRvOFLa2xKkR1tg4S57\/fDW9egHYrg9KTaawt9oIdTg8Up59HnodclRQShY3AYhxXI0t5LMg7FHykKGCjJdV\/izTsN0bi0nelRHf5YCc5uKgVl0R0bNx3fQ4AuW0IbD8yDR1qpx95Vo5hQGDU6sZObZbTObvYdwO2IaYkcJA3dh74KcuS3K5QPxXLuBJSoW9sCTkFAWodZwWJ9cdFpEBxoYNb2rzrhUy6rKDFNDMGoaHogiuRQmx8xI\/pgDNbVIcJiw1qBUbWGPpqWh6qKeqzYDd\/w0q4GDDKENvNuYGqFl+EpxxxQSkgcY4a1G8165CCuVcV4WLfSGSdmAJJnAobW\/UmGFPqiFsWBuUnHzFr7To6M0bb8bvTD51B0YrentHan5hihMd1PK+CB8jhJVrKbEhHxlHcSb8lF7g421KxutNaCt4UlXYyKG0fW9P1hrxGiCknChkT61\/LiOoT14R3oIvt\/4Ymwagw6ppL487RFxeyhgQZrMuiu9B3dZJsptZ7Yu49WotdQA250ZKe1jYg\/3wka1IBPwmD2NNrm2U3lWU\/8AIVoHK2rtOo2XhAlMlZQmyVpHb64BKvOj1+c9PCQlLpPmT2t88L+PXPgHxFnuJUjsl1PY\/UYKWGFllMuG5wrnym6TimHtIu4bDawI7VMM6Fb6a8q4aEKX16V3Ypz7Dw2gFB7C10\/8sFeXXERKpCfJALb7au\/soHA0248kAqiuA+vJAOJ0F2SXUlLbSCCDySo46s71LKwI5NMFFbg+I17CaNyW6hCQyVAplU4p+vAxnrxyUlxzRPJsiSVB6lVVMTce\/wCLDC1X\/wDMlX6Yb\/htnrlQKG4tzd1oVjYf\/bv\/AGxA8ZMVpnRSqTV0tiSmlzIsvY4m4G5x5kq+25P64+fvJS1rgbUYBUM9pkfzTDTVH3IlOY3Y\/wD1NeXMppPTd+JSRYghSfXFHI6jdylsrR9bjBk3Ge6zwaCFNlpThuLjj5YHJKI6lKW28q\/coCbA\/TD++Zd8BtxJABkZjofvyOlNWHE7o5qvRNnNIdYiS3GGnwA40lZCVfUYjJStG5CJCmlLG1QSogKH2xJVEMtwojsrC0pKtvfgdziRFpzDoUkrUdrCnLH\/ADD0GJt5xS1EqVIHBnv27UWVNtAmPzzqA0yASl08d7nFrTqZGdlttkF5BUm4sexxKn0yPAkxU0yotVFDzCFultBGxR7pN\/UYOaNGysuLAcciyU1DqJ8yVgBSBe4CfU49fsnGC4lRAKRPMzxgESCTP96T3+qFppK0AkK7Dj16iokXLxq05uFTmW0rSekOp\/L7c4d2UvDrmSjFqROrdPjhYDlli5N+eMJxmtQY+YZb6ZGxlTt0pvZQxrrLcydMjZRqU1REapRy02+LLsCk2NvfjEzdu3LbX9MfCcE9p79v2qLu791khu4BhQEeff19BQe34fcvSpyXp9alzXHVcNMN9z8sGK8s5IyDNEqkUH4KSyyEL+IkAbie5IwP0ZWfE5qlOLqTxjxnVoZcfKGgpF7A7SR6YOqplXLreWJdXcjfxCatQdecW6HNoP0vge4ulW1qWXCVqUYISAQAOu7rntSlp5990uIQEoQkkEkye42waS2pWoMBeW1Zch1pLilyypLTZ3JaQe\/Pr3\/bHDKWf8r5KVHpKpj9SDKS4zLYUUlJIuUn74XlSZpdPrdUmVmCZETa6G0FwtWc9Le9sdtLpWXc25lg0Sq08tskLSkx+C4sJJSkn52xZW6vDsm+FxnM4A4B4wZx\/FDONOPq3WsgcEiAJIwepkfzTBp2tLuYawY8+C6AFqDLjl3Dc8X5x8saOVanVCVmKmVfbU7l9LJTsUrcbgAfO+NBaTaHZWzFBi1lMGHGQlCJABJdXe\/5Tft2w56jkGK64w62tttDQ8u1lKgT\/wBDChV2hAUpqUknKcEETnniiG9E1a\/fQlMBBEzOeMRxWJMr5rzZHzexTs41uRRmWEKJWSEBZ\/yk+gwEVjVys0jU+XTo2bFrojckLS6ghV0Eehtzzjd1f0ry\/myNJhyosaVPc\/2fXjpCTbvc4yvrdoOKRTp9byzllhD1HAVUYyzezRNg42T3F\/TDa01fT3WE2rTAmZEwRzOccxg9KDu\/ZfUNKuF3dy8Skp2wDAB53DJz6nvVxp\/rRHqVQ6cfMHxL3UPTQsbSU+n1OGG6qiZwlJqwjw41ZaC24k3pgXcIsW3Le+MQ5bTNXmNkPBuKho7lpb7oA9TbGg9Pqg9Aq0ihVWpqdarSCuKu3IdSLpP7YnLthdhc+8sq2qPxDgdcgRyP4xXCNRIA0y6HiNLEEKzM4z\/f50htdmqpUM1Tnc3w1JrkY9AdJG1vpp\/La+E\/8ZUIL\/Tksu9K\/mbK7AjG\/wDUjIORc3UunZzzJUBFclshguDje8kdjjNerOl+UocMzMv1dVRmgHqIZG4JH2x0n2kbu3vDfCis8mMfLsP2oq3Wxo5TZQPCgbfIGNuOlJFEBirzkQ4MFtpb6uEo5UScEGVcsuQa8iM5EeLzTwSQRbm+KGnR10qZ8SWHhIaNrFRQQR+4wwMo56Yo7rT01mP1HnCrtuUee5OHS3lIbIaG750Zqbj6Wihn4hH3rTNY0UZzNRaFW26Q7HiNt9KWdm7ar1OA\/N2l9GyXXo79NhSZFJ3IU8QkpKxfzAfbDi011tYqGSHMvMQGlqfSoR3t91NuEXSNvrzhL53r1dSGzUqrIW38QlL7B8i0c8gX7cYn7S4KbptDDhwcpXwJPWBmMz\/moRx14I8M\/wC4DiRBEgjynBFR8\/VXSd6VDjZLp7LL7ZJlAslKSOLA37nEyFlSnZiiMVuioEOYxygsm3mHrhHV6pwjmKS9S0vllbh6SXj5uD6kYMcmal1pl+FQWGGWkR3VOhRuFEnuCr1xZ3rL1y6X2HAlYGI4JGOZEeprX\/RXrKzQlpSlJA+LcZMHOe8cRWh9EaZU8h53Tm+pzVqK\/O\/fkOgixSftcfpjLviO0xqegXiNkVPJ7hYpkySxmXL0hI4S24vqoCfT8NwKR\/5RjXOXpS5VATUczLZp8l5aTTmnVbQ+s+hBt5fngU1cozerukUx+rNNrzPpXLU+lMdW\/q0t8jqAW7htYSq\/oL4H0jUXNTd33PG4oJ5GcjPXJI+ZJqh9kL93Sn12jqp8RAWkYmUyD8PIkAEd4Ec1ivxU5DhUzM1P1GyxBEfLme4grMJDaT04skm0uIDbuy+FpA\/yFs+uHfoHIR4i\/DFVtJp7iXc06ekz6ESfxFxlXJbHra+5P3TiDk6kp8Qelea9F46G1VnLS15pyuTwpx1KQifFB9d7KUOJSP5mfnhe+G6dU9E9ZaRmCpVDoQlPCLUEDsqOsgKv9DY\/bDJmzW2+oN52nn9vrx6zX0+4vmrizCXjCiJjz\/P3FKKqwKtTs0xqgnqoksujYDwULScbenaT1HVrRhqqSoPURIi7ie5QsDv9iMKTx0ZHZyBqhHzFl1pBouYf\/qEdaE+RLnBWgW+Z3ffDp8JXiMptay+nI1XjbF7VNMqt+YkcjFraIYXpyl26QpwEEg87YzHn3qR1zUtUsbW3ubVsFMwruB0rMGlektZmZllUJwKZdhkpdNuOD3+lsVurejjtPrTsf4tCnCncHAbg41L4gqeNKaWrP+Xl9F+Rdt4o\/wAnoo\/9euMiVDPdQrk1VZkSwtxxQWkFVweeRbG9wLFTQbQJBz5ilunXOr32pL1BlQDIEARkmg6gtTcu1BVJm+VLt9ih2OLhyiNuOKc3fmJV+uJuZ0xswuRXYISl7eLAdwrjBMzSmkNIQsAqSkAn52wpTYwooTlI4qjudQUAl4\/CtXIHl1pTV7MUapyyYzO1pJ49zi8001GkZAzAzXIiLrZUFWOFwuoNpJHHGOZqSv5QT98RFlrn+mXIuW1DcPKfKKu39MZurY2jqZQRBB6itWageLaTqXTUUCtQ22YyuNyU8H64T1VEugJ\/i1ElpdiKO5TClXFvlhYqmvL+2P41qoIjqiiSstXPlJ4H0xrqHtSdRTsUmI\/TtEAUm032Rs9FbDGnJCG+qeQf7GrHMeYXK2+H0o2H1GKEPS0OBxpxaVJ7EG1sfyXSOO+OqVBXIGJcuKu1So1UttpYQEIGKJqC9MqLJVLcKiB6jDeytS5SKUy\/EqSEDi7azdJHr9MI+kT3WHg0kcHub4a+VqMmfGS6\/WlxkG3lQrbfFXpamrlSWQklQEc9aR6wlKWZJ2ie0\/amXUlwGYiC5IbKwebqA4timg1mlIdUn4htSgrsPMe+OqsiwoLbUqXHkyW1i4Wdy\/6YsadT48N4fwzKjm8\/zqbCAf15xYosblhSStMR3zUg1cWwQQlRV9APua9IvCfmNqfQcsustu2LaGyopsPyWw1fEzDcm6KZwitRQ+TTX1hJTckodbXwPpuP2wj\/AAoVSsqyrRTMiMR0trQNu+5CQq36405qXBfqOSq3EYUlK3oshsFQuAVx1pTf\/wA23EF7REsawh5PIIP3mmmjvByzfQgDE9Z5HcelePTlPmxnUuRCpC1XRsWCCb8WtbnFnqfp1VcsUnLs2rZdYo658VYshai46tCuVOJV+VVlDgemLbMTbuY6iP8AD1FmfE02Kt+UtLvUC9ijuetYbUi6eMV2cM45qz89Toub64\/KXDUpKQWAlLCiQL2SBe4Av64oLlaUsqZc68Dp0OO3GeKEReXjrzDydqUiS4CTu4O2AMEdfi6cZoGnUapUGm0+pTorrKKmla47vUB3tAlJIsbjm4scftDirWph2OOqhSlsu2T+Xcni5wUzKNVKHSFqcpVKqcaWUuoeUStxIUT5U8+Xk88egxAZpsmZB+H68SmIZPULSFEuPL\/lulIJ47DtiaWtDyiGsdO5PH1+dHjUxcMmFA5OR2ziOZEx65xxRc3W9FYekb1IbpEtzOq0KQZKW1eRYcuCFE7Qnb6AX\/rgFSt5lulzOuoqQ4Uk3t0zwT\/U4uctv0CkSimpPF5JfStxtMe9htN77re\/7YmRMtLq0ALp9HqE0ofG0hN7pNxwBz6jAt7qJdO1SdoTjiAfIg8ftSlot6ctaSVqC1FUrM\/qHCZiAOgoSqToRUXVPku3c2pdR3H198aQ0h1OydTMkR6LmOHPnyIq1LaDKLcA3FjcEW5vhRvZTqeWi1Va9lhbLQQqy5aSEki5HBtf049xiyh1qsyaX8bRWIjDjTly8wRvKSANpSewHfCt9xm6RtmI6z14wc\/ePWsr+8QtpIbSMYkxE8fn7VpHLGquUalU0x6PlNaH17djrrPUAUfQ\/fDTnymZNLYqs2jtU54OIYltob29VpagnkDvypJxk7TnUGgRK9GhZrovRBloedqK3nLI78BCTttutfg8Y1DRM4U\/OzlTj5bcbfbiQ+tFWlCrKeTdQB3C6hdKMAXVgtpsXIUNnBE5npj+RSa0v3Bee4vpVKxKTtG3juOvlOay5mjRzOGo+a6hlmHmOIhNJfdc6cklIQgrI4CQSSbYX2TqdWdPs7sxqjHKHIM2ygQbHYsjck+xscOTV2jZ1VmZOoGUkSoiMwMNOpEdZQC4pN1tj\/N50q4PthSiVmebmNuVmSd8E04pKXJs8FRaRfvtJBPfsPfFg1dB5htvG4iCSekY8ojvHFCh26DbyEOJLKf0pAgggyTjmeYia3xoZW4sZdUojgS8jrLSxc9m3U9Vs\/SxI+2Gq0uaW2YjwKkpvZA8t7c8WxmvQGuKSuBXnqhGWy7AMB6QLdNT0dy6VepSSyofqMPpzO1PTFU+wzNkqZXtQEsqQnaR+YOL2ptz74jbxEulJVxzHHI\/fp619C9nLlo2ALpg9OZ4kY54IqyeSHUlbT5ClpO3b3+2F5qVTGKg5Fjfw991lVOkoqNnQApGzhJPYEqtbEPMmtcOmqDEOuwKc750rbiES5QAH8u3yJJ+Z4wtM06lQHokaEql1lymy9rxbWfxZh\/mUtY\/MB2sLWvgdpl1v+o0MjP3HE9PpS72k9pdNAFmpUlXn2zHBj55iYk1mPN1VZylV51Dy7TBTDM6qJbyliStTRPlTciyCLdxg+8PlCrVSqgzFUy4uBRGy4l58\/mfKSENJv3JJHA9BjvrPSMqSKMzmikZfh0SM+6WHGy+VPrIIO+1ri498F1L1s02XNolUj1epUyLSIzcWNDepKHoqHUpCVOHYsFSzY+ZXNjxirvtQf1iwSFt\/GBiEiAP\/wAe\/b1mvnmlMWqH8LBSk5JJknoZUASB1BjoAIMix8QdKlw9Ocq5OYiLk1T8Sa+01ysEi\/Yc9yf0xlbrO5Qdg12oT46mpLi0rhtvlTzYSeeon0vfi+PQal1akZ3p7U2VTKXX4byfwJcILjS2RfkJ3Hv8twOEprJ4aG6+3UM96fS11d1hwpmwpoSiSwQLcJsL2AHcdvfCvR3tOWyu2u8LJOTwPWMg\/KnmsaRc3F372xC2CkCB+qEpjHRQ6ykkjqINYNz1Li1nMcqpUtbqYzyioBarnjvfHEPU1lCAp17rJaTsCRcbjzY\/rg51D0tqOWZAckQg2XVALaQrd0CRutxx25H3v2OOEPKlETLhCoVRDC3mG3XLtKBCSopvtAJ7C\/0ucU3hBhsATCfrj79K2avbZy2R4SpTGIz2qfkbU5zJMGMmPEdTUUyS6JqHju2WsEFB4HPN++C53VGFmCvSavn1pyU2+tL6mW+FKUBx8uQLY\/Tp1pIZcRuFqHAdU6radyXAkK\/mAO2wPtfEPOOl9dgPol0nKryoA8rckKD6F\/MLR5ft6YBcdtL+HF\/Cf05Gwx5cT680icati9ltQkkkzj9zFC9VkZUr2YxFy1Ieo1OlncH511oYV3I8ovb0GIdArVRYn9RPTW6lwbHXEWQrm1+fT1xX1OkV+mSFsuNPMbDfaG9tj7G2OM9MdcCBGbpbrU1tbjj8tchSw+2q21PTt5dvIv63w9tmmktBJgx1JJJGMf5pqW23RtmQcdMcmTwc4HXpjk019Qszym6hT1HOzVdDUZtSgi4EdZ7tjk3A45+eGLp3nZWm78PMFQoyZVGzQ0mJVgte4qpzt23wkAm1wokX5ukYzjSqAmJJLc9UhLa\/KFhsgC\/I5OGZkvMFBooTTVUedPdS4laUOJulW03SCPa\/OM3XmEKhhvBxAiADz\/jgg0ketVWRacZVvUggnEboyOIAzHQzEGq2i5K1P8OHiDkP5YBkM0GqiRFfKdyZsFdlNq9iHGVi\/wD4j7YIfEj4c3Y2qL2aKJVQxlLNLaK1R7L2Bth3zFk+xbVuTb2thp6ovVjVLJNLzdQG5UaoZbdRSqn1rhT8Jad0V+w7WX1mzY8DpjHxQJsnWLw+5jyC6VvZp0231mlbW7rfp54fZQTybHzW\/wDDhsw7bs+G+s7oO1QnnsR5AwfIKNUydUvdSnwQlClpCk4kjuD54I45SKvadphlbXbw7jKVaqCJ1byykBh8eZW5AOzk+6eDjMNCYoWn1ajimsqjSILxC1urCdhBsobRzfuMW+gWuVUyDqTEhzSv+GVciJI6rhISonykj5Hj74r\/ABc5XqOUtQhmKAEM0ivjrAto4S9\/Nyffv+uKC0u\/d3XFITKVGR3HcenWsU6LqF2kN3DpI9cH5U1tVcz0nVvJiKbAs8y5G2lAF7C2MRUvIlfi5ycynIiujpuXSopt+H741P4X8y5bsuh1Eh19xXUb3m5IPcYc+q2m1Eg0ledY8FpuYy3ZspHmUgen684GMPPpKvhT+Yrp7W0ez9mbJpsk8AnuetY9dotNyy78M3HQ5JaQCLJ3EH64HHa\/U+qu0Y23H0Hvg4qan3ZKpT7iAt5dlcji5xGXkVC1qUaiyCST2xWWlki\/RNvmOYI68VjZ3DATvvDKj1yfWKyiruo\/PH6lG5O645xYyKHPLzvw0V0tBR2lSbcYhs0efJkiI0k7zweL4\/nly2WlZ+HrX2VNw2pM7hUVb\/Tva1x744kLcF0g84L2tNay8AXGzYjHCo5TmUNKFuI4B5BxsLJ5I3OJIFZov7datiFAmh+NAnL5SyQnvc4uoeWJ8gJK07dx4GL2ElciMlxLQQ2B6C18EFBhrlL84ttPCcN7TSGVKABJn5VjcXqmkk8RVU3p+5CpwqTjgukXIJwc5OqlDo8Vh2TSvinkkKBIB\/rijrlQJSKXGUVlR7e5w0Mnxsk5eyi3EzhRXnqu+q8cJPFuD\/TFXpFswxe\/+PjHJ71K6xdrTZgvpUvcrCU4Md+Rgdasa54hKnmCMig0nL8WMIyQCs8k\/a2KalV\/PVdQ44xGdStC9qumybfqRj6pWcaNT8xSI1Kysw3ccFYF\/T2GLCi58zHJlVCFFbYZ8\/lS23zz9cVanFvKHiOT5ARU6xZN2TZTaWiUiAqVKk5571sbwrU3Ohy9BeqLjqUodJs477Kv2GN8vNomwnGXBdLgaKh8t3OPO3wuLz9VKUg1BxxtCXVW3uhNwbegx6HUc9elt7lXUYwufc2GPm3tugofQZ4n16c099mXi464ytSSeyeOo\/mvJPNVCZy5nWp01styW4U9xp6B1lJDyEqupAUObcEe\/GKOoxU0qruP1nLTr7U9t1cGGZLiNqHCUtrQrkrCSDa55tzht69ZbpVM11zjTpLSoS3pr8iOpW8IcLllhACRfz7rbuwJOFLUp0SMfgpjJIdB6raTdbNiQhKV8qPvbi17YPcdLjaFqyCARx1j1+nFLS4vxfBySkQeQT0kEHy556EiRXSiU6v5ZkiZNpApEYSHYwckpceWX2kbukW08puSkbiAAT8jivTnyS+4tNSgwypKlXCUbCSeO6ee\/wAx9cVtTdcWC6hbKo6SpQd27nNxP8+4kj6gf3xW1yOBVhFhVSLNQra51mQtCBdIUU\/iBPIuQeOSOMJ7tlss7An4Qe5nI\/x0xmiWtMZunCu6AKiOYIiPPJBz1PTFdYZp\/TdlSFrjrV5UBDZWoG9ye\/PFhyfXDAiZoOTKelFJkzCqQ0y+28QG1BSgkqva5ABRYc8c4FsqUGBKafezM6+KXGV+PJi\/iLa3A7Rbsbls2uR+XBbnA02Jk+nQqdNarBDry\/jFNnrqBSk9LudqBv44FyFc4UXFuLgicj7\/AORjn61jqC2nX020FUq+UR3j7EzmeKoc55zdzNLbqBiuSHFo6v8ArUpcjznhXHAF\/p7Yq6RXZ8azSWPhUOXDiUsgtkfPuU9+\/bjHB2otS6cmNDpTbLq2zuVdSx1AT29UmxHHPpiNSJTBdaZqRW+22pKlouSFWJNgT2Hb3PGB\/d0NtbCn4R8x\/ijU2SPdlIU3x0OT+5H50pmUVCazGmmS\/HWy3FMkISUFxoJIClJHG43PAFycN3wtV9uhZ5+EcnynmJKVtBD7e1NgLpVZRvckWPHHGFnSBRm6cH45j9PapQQ0o2SAkk3NgSbA+3PbFhphWqcc5U+rUyKvqM9Naklg3WQoXKSfcW5HzGFfjbrZ1CUGAOT07REds8+lQttdFi4L+1QQhQPAjHf+SP5pyavRJNMyhLXRH1oOXK7IhloukAsOrTIaN+1rFQ5+gxinOmZ59TrU5+a2lBeeW6BsvtFyQLq9MegmoVIjnK9eiy1eeezGqBbUBcojK6K137\/lO\/5d8ZZ1DoDFapsip0nLnVQEIjuSG2Cyztt5e1gVG3f1Ixro2ooSFAAyT04859O8UyvNQb0vUktPNEpWOZEJ+IgfVIBjB+tDWmGqWqMZljLGS59RkMOnzRKY2Qu4tdWxsBV+QN3Y9vTGg4mSdUc4UVmNVMuShLLgUqRUppaesRbbtUbkC4\/l9MKbw2Z4lZZzjRcnyIkSnRpkowpKggdR1x1C20qUfUblI78cY2NmDNAyzloVRCCWnX2GU2WUBhtwLstQRZalEoSbBQtvAGHGv3fuzyfdwDKZKs\/MA\/bmKITp1tqCHHrlSkIbUcJVgp53doycCgHLvhuzRCUiU7WKb1Gx1EpdbccKFDvxbzcX+4xdZk0pkVN5mNXJVYaYbNw7Ao6gjb3skKWSPnYYIsmahxaq8kza6GGg4CAqNYnk8bnFKXzxybfbFhnzUGpQZjkLLbzofDSHmpA2lsgi\/FwRYj1ue3piPOrKW4Nxggx+kDnOepFdXulezx083IkgHjdJJg8QoR84pVVbw6LreVVM0zMS3FMgqSxKiOMOOOj+UBYsLjjv64zXmSh1zKsSrCs0sXpim0uRZgDTiDcgKCAoKIuebXHvbg42FkTW2oS6gaHnFbUttxSEG6EDpAqIUVK4BA79u1\/lit8SGm+WJGWZmYKy1Iccp7YZTMQ2VrbivLCbEhSdxQsAJJPCV83tfFDoN2G7pLD4+BzGJwTx17iZn5UnGk6fc6edR0ZSv6f60qj1MAk5IkAyRjismZY10z\/lMtPUWmpgwXFJHUjtqLbi+55Pc8dsa30N1zbzhLV12mEVyJFKrR1BKpSAf9mtPY9+OxB9Lc4wvUKHJg0ibmGgyXXIsHclQdfu4oFWxRCdvH5uxJ4OGN4aamKZmqj1P4GepReQ2pYO7yOHaTtAuOFX7+mGOvaOlDRuFN7HCNwiATP5\/itdP1E2biFsL\/phQSpMyPPB6jn8NOPxW5OpTfwebMvjppriVOORkBLaHJG4K3KWfVQuLetjY4xjmao12jZni1SfPjPu+RZ2KbWgBB\/ItIuDYcc98ejmsmUUZ808zDTKbHaZfph+JjkOXcQUt9YJBPZOwuJte1z8rY8661Tcs0uSlydLflrWkOllLQSOeUgL59zfj+mPNCv3X7WFKkpkYHOSefU9aY37DVvqKiEDa4JgcdjjpkelVhrbzlbfn1IpUXZC3XFxmUsh0rO5CgEiwB54A\/l7YfmjutTWTpKWKVBfmMOI\/FE15TjakDk3TtFvrzhJNZyYIFOyxlVlxCmw2oSCp1bhBB6lk7RuvwCEg2NucGOVc11yW8qGxTGoTyUdFW2KhtI7fmVa5AA9bHkjnDTUlf6whDV2DtgAgqwCMTE+nzmlt6F2yfFZTtUniI\/atorYyLrDSo0tGS4ap76w0+ppKUKbKk333tdQHY4SWfPD7mCgU6rzXoTyDFcvCTHbs2lvcTuUsjkWFrXBufXDv8OTsar5fVUX66tmpoX0VpU4lLq2kngkkbrFQPrYWwbaz0PKmbKW1FqWaW4MuPfpLefCN9wLhQ9R64gbS8To96tCCVIBiFD9hPSmatGf1zRhqjpCH8H4SkBUHIJgZPOYJ4615+5vquacwsqbqTbLAY2sbWGEshKewVtTayrjv63wMrGaaDUI8oS1Nut7HLqXdN9osSD3uD6\/PG7cp6FZJehLj5unQZTpUG2XmVBtShwQk3\/Nz62\/tiFmnwz6dJpUyRV66ESFbVR1qdQkK2ntbi6j2BFu\/wB8Prf2otUO\/o25JkCc+XXmlzGhaozaBwtJKCMjcmRHeTHHnmkv4bc3R6hmB3KGZ6l04GYYTlNlrcTcBTliwQo2sUuJ3AepSBzfFJkLPE\/QXxAIRmlSWHKPNcptWbCgUuMKJQ58lCx3D0NgcCFdy1Cy1mRaIL81npOlUd507VA3HO5PqL349xiv8VUBvNGRcsa6UmQt2QzsyrmdW4lXx7DQMd9Z\/wDuRwElXF1Mn1OKv3pl1sKRwsGZ85M\/SQfQVt7P2qL15SWlQcKTjg\/7h+xA9a\/vFppPSdJdXpCIUopoFeWmr0h9P5Qw6d21JH+RRI+gGGpUm8ua+6FIgxpiJNSpjAG7uUvt9jf5gfvgGFZb8UXgwKWz8TnbSFexF+XX6eRe3ufKP1b+eEn4TdWpWXM9u5anOFEOrp2BKjwHR2\/UX\/QYItdfKEJt1AFRIhXpj78nzq4\/094guBRlHT88qgZXzg9lCvsywgxpFLe2uNqIBNjZQP741FM1al6gZUQz8UgNhoFABuCLeuMy+LfTmpUHN3+KaGwr4Gqm7u0cJd\/5jFLoRnKU0VZfqEhQW0qyQo\/ynGN3r10tfgOjHeu\/9At7kC4VBPbtUPPdXqtEzLIpbsham3lFTJ9Le2KoZkzOBZM56w7fiHDC13yoJdJbrFOT\/rLHnSodzxyMZ9TmioJASpQuBY+UY096RYK2FZkgHB+1FJ0lDiB4SE471rPNmU8uU+PMbhRUFLe4JXa1wPXCHy85DZzcvyI2JVyMPXNUp56nygkeVSVH5YzVR1uDOrzavVf98OPalxFvds+GkDNSPsow49avB1UmO9PWRUoKbDpCxHHHAwE5giszVqUUjZ3GCRphDqTvSbDgXPOITlORIWoKWNov64yvlpeTto\/TmkW6pFA1OqsWmSXUyIfVbSkpSmw74ucjutPyn5L4ADu7Ygfyixw18n6A5PzFp3W871LM6GJMMKKGARe4wrMnUaqOwqq\/Qqe7J+DuXXR2Qj3x07p1zY+CpwggzAHPAPbOD5iik6vYakm4bYJBbIQomQAccE4+YqjnoLdWeU2SFoculV\/ni+h1mq1KpwnKg91S2oISPQA8YnUKBlJ2lSJlamPieXPw0JHCvfE3\/DiHwip5ec66WiFqZP5hax7f2x7bsraPiJOaMfvGCS04kgpxuIgTHQ1xSiSnOKA23bqED9U\/8sXdAgzm80zWjuQq24eliP8A\/cX2VKSzmmrN1GmyWoNSgI6i25PCVbflg10dys1qRqHLfrdUjwA0hQVtULKI44v9MO27dbqwtSjHPy61L6hq7Vo06t3AbQN3eZxjrNMDwuSc0zZz0da58hLUkAEBVgLW+mPTrJTm6kQm1JIIYSmyu44GPOrTav5gy\/nip5YplXEiHEeT0yw2PMLn1AucegmnM52ZR4Lr6FIWpHmCuCDic\/8AUJhaEtqxHQ9eOtbezN8p++QspSlKgIA7GOcCsV+MXK0uh6\/xsxtQVr\/jCIsplxJsQttKEKsb9xsSfvjPOqMKIK5NnKW671n3FB6SU9Zarg3UEEjuT3Pb542d436Ll9Wcsj1rM1SlQ4nQkNBTLPV3KQ42raBcAEhR5\/3cZw1KzLRafSf4plyK2\/SZdTTePPcbW464gBxKnG0gXTzbvb0N8CWB8XT2FbTlME4I+ExkGI4oPVXXbTXdqEkmSOoBCjuABIgkDp358kHVJnUMX+F05uOY8cNOrZUtfxCgeXFBRIBNwLAAcdsT8u5VezhmGNRYDjUWZKKEIKgotOqIACbAEpJv68Yscy53NRjlEHKtEprq19R5+JHJU6o3vcLUpKQSb2SkAWFsdswrqzFMytWIDNYjBcMrQqUbNrdSs3W0QANoJNu5xi\/bOKDhbIEAH7xj6z\/3VI3cPhpKdvhqVuAJIJBic9CMcdu1U8imVDLMuRCrNOEN9KFsbCEApX5rbdxJ7mxPe3F8X2WKDQaxlwqrOaBSnWHVvOSJSnVtuNgD8JttKFeYckm\/INsB6H1trcRVXeqCq5StQUrnuQe98MBiBDqWVly6FT3pyIYLj7BTd1CQLlwgJN2xx3OE5eU0oJAJk5AwP+\/MUNq6lstoyQVKEqTAH\/8AUjM4BkTQ\/LVluQ3OlUOJLaaExKYyC4FqS2pBtfankmx9B6cY6N5SqT80sPmDDadcQw288ei2lCud5cWUgAdj6jnjESpZtqjFPNJhrcipSsOL6SincdvcgG3Y+2BcOPuLJUorUvuVG5P3x540Z27ZieoPp0jtTG0sX1NlU7e0nccRH550xMsUh2JXITjmZYbjkeQlTbTT6nnFhKrkoUgFNiAbc\/1xfsZmzSw8mQG5KSChLcmSCVhAsQLrJIH0t68YXsGu1CiCFKhPNNrTdtQatcpB3AKI733e98GsRmpZsmtyHFNRYxkIYU6pZShO+5BX3PA9bY8esVrfFu2gbFAK5JBxPGAOe3zHFTOuWym1b34KM5PQjsBHOO9bPqciPXMq5KzTLWopkPfwSZtVcBmY0WlAnsdroQcYxTOqGVsyVKizZDzCI0lyO\/8AibUBTaim5uLE3HyONe5IpEuraE1OkJlsregMiTGcD28KWwoKQtIAuOW79vXGWfFFVWMv5nrdPpKW24+b0RK4p1DSgp1DjYV0yq9tgc3KsE3v64C0TSUP+JaP\/AQCMmDg4jvz9q01K0RrFo0pCdxcCZPr8Kj8toPrjEk0rKxVJVCz02+ZqXHWlMyg4zJQ4Lmykm6SQD24vcc3x6Qj+EZ9yC\/NgxkLNTpaZ7KCnckrLaHBxyDYhtPbvcY8m2pR+NADSQb38vIP1vj0j8JmZ5eYNKKWhplXVo7jsBZPAKArqNgk+nnA+icb+0NqDapWjhJifI9xj+KaWVmm0V7m5kKTB84xgZ6E0AMVXPaavDYipYhMPthLSRFDQSg3TclKbi\/JN+L\/ACGC6vzJlKao82sNMpLzTkFxli6ih1sbLgflA2qQRYj14w76HpFk1NSbqVWdlTeglfwzCggpQFqKuLC\/F+OcEjeTcuUu7lHoEQ7Hy8FSPMUFXcjdex+mJNkMBrctAJE4z04Mgzx96mEewWqOuKS47tRiCTu7SNsR9+Kz5pjo3mvM9TbzDXafKp1CKkvOuyhsXITe4ShO7seOT6HB14ps90PJ+l9TckbXHZ8ZNOiRioJDqitJUvbzcJCbk+5A9cddSfE1SstOrytSGGqhNaIZUFqDcZJB\/mVe6rccC31xkTxFv5gzDHTmnM2b4Mya6rotUxlwK+HZIuLJHCefT784aWQbevG1EbE4IAkzHHfHEk1u0NN9n7BzS7E+K4rCldB0\/vAE5pDVLPktFYfkMQWQFuLKW0cNjcT2HcfY+gw0NI82ZozbnujFDMYSnHGYje1oJDaeEbwAbBYF1buDcXwoaVlydVqm1Hiw3HnXV7UISklSifQDvjdvhm0R\/wCy1beY81U5mRmOosFulU9SQtUVKu7zg\/lPpe\/AJ9Tip1O7Zs0qcWqFq47k9D9etLjpdvflLDbcgRuPZPX5noOSacVWYjw8i56fkctswFMKUvncUQwlX1NyR+uPNWqPB+FLp6I0WzjiEOSVshTrQCiRsV3TclQPvxjd\/iY1PoGkmSlZJYrKXa5UB8U4oMh1Dx3ArDgPACrkc+gxgqHXKbKzEqVPXCWyXOs80SQ24kr3dM7B5QT7Dj0wn9mrZdpbqeUY3Y78TP7kcdKY+0LnjXaGGkSGk5\/+RO7b0GMZnnFH8Hw71tnLtPzhJcjx6fJZS4FPOoaW4pQJSkC\/f18wIPAwI5kfdRTGGYEH4J+EgNzShQtLUD\/tkmw2pJA4ueefpqvTZemub9M63SnZKFJYbVJEWO4tQZSOVFrcbkAEgHjjCd1BzrpbAymYDUAVCZHQUtfEHehFibJSBbvwT88B2usuuXLtspBVtXAO0ceZMQOaRrafV4DrhBJExPBkiCBIn5x1nFUWXNVncvsQBRI0hyasqMnq3LSXN3lCNpJPbcbhNibWwy805lrWYqJCzxW25DDDDqYr29NkKT\/KoWsRzce4tjHsjNzyWpDSJy7LUFJbA2p9bjjvwbYZelGsakwxlHMdZTFoaG1urYdbLgkKSQtCL7VEecXF\/Lzbtigc0ti6Wq4cTC4JG3qesz0P71xe6HdNsQx+gkbgZ48oGSOBIOOtOrPmt86u0qFQok15huEyOo4VqCnB3JVbg27C5\/lwGR9aZUqS04qY+BZKAF2IGwWQk3v34x9ZjbpWpdITnBE5FBocRRhMqUGtr0gXXdXawN+wFrHCMVX6bLfYiQqQmO9HYIcUJSlJkPoUTvF\/y3SbbRxwMF6X7NNLt21voCd8wJkz1mAT+YrNi0TfuLTvUtSYBPQEDAzHQRAmJzWwM29LOWl5zJTYdKirjKKHpoiFSgpKbqAWATcniyT9rYVeiU+kZ9drvh3zRI2U3UeEqmR5biPJEqqD1IMggnja6nZwBcOe2FRH1JzDOoUjLKZfSZ5dDSFEpXYDcDcm5sAb\/wC7gdh1mpxpjNRiT3USoTiX2VoWUlC0m6VC3YggYOt9Ht7C3Ww2dwWDBgmO8EkHBgj4Zin2j21xZXHjOcg4jGP8jmpnhVz7VPD54jXcnZwQuJDqD72XK1GdHlQveUeYH2Xx9CcU3id0slaHa1SxRApunvvCqUl1PA6albtoP+6ePpbDD8duVEZqiZJ8WmU4imY2fIiGa4Gx5YlcjAIdBI7dQJ3j3so4N85R0+KXwlUjO8JCXs2ZNbLUsCxWtLYAcBt7pAUMSrbKtqmiPiTkfyK+oF1IUi4T+lWD\/BrvHmwdadGiVMh19yMFX9Wnkj5+xxipmfNyrnIuyWlMOxXy08j5A2P\/ABw9\/Cjnc0uqycmzn7NSyVtAnsTwR\/f9cUXiu0vVl3MgzLBQPh5ps9YcBXofvgh91161TnjmubZKGbhSCOeKPY0mNmvLpssLu2CB39MJmXpnCXKeWWbbnFG1vni70TzYFx00yS9ZbJ2EH1T6Yb68vMOLU4GmyFkqHPvjEqW6ARW6T4KimaDarUqgpp5t5sAFJ574SeX0iRnxxpdiVLtf074dkipLqESR1YwQNqttx2++ERQXks6hKKhdPU\/vik9oXyt5jPWo7QEQw+kJghPSnpNpzcdAU6tJ3AcJxCIZCSEp\/bFhNq8J1ASUjcBxfj9MViJrDpIKUgHDJ1CJHxCsrILKPjBqnpsuoClZhjNSXEMJSDs3Gx7+mPjS6qz9lYocGeYwqTRa2lVuoeeP3xMrjT8N5WXaREcfflpDz5QncVA9ki3tj900yTWKpWnltQH9sF7qvbUG6NovyfTBIadLjW6SBI6x6Cirh1j3N9x0hKTChPlEEjzIxXejwIEpastVOKpmSF7EPJF7L9j+mOUWNUaNUV9F5SHGFlslPYkG3Ixc0SNJez2hVTjrjuOPqWEKBBBAJH17DFllqmGtVaXVJygWmZIGwD87qlWT9sM2mAshPWaAdvBblRcykpBI5Ekxj1+lc8yxSmTCmJSGXJEYLc28Ek4udPstyKpVQ0xVTTWQkqckbikJFu1\/ngg1T05kZSrEBL9aj1N+cwl1TbHHRPom2L7KWQa9UcuzY8aInc661chQuLqsQbdsPrdgJ\/qipl3WmDpiXm3AArAJHcxMHmPSntoTRc0xIDCqNOp6obiVJ+Jbip6iylX5lLV3xsnTeVUEQ4rU95t1wGxUj+bnvjHGmFFy3kAswJ85dZkuBSClMglpmxBKUo9+eTjXem64Yp8cRGUtNpcslIFuDYjEL7ap8RO6JB4MRPzmfqKR+yN2teqlaT8JUYVtAkSPOevYUtPH9RVS9L6LXmUBTtNrCUelwhxpd\/3QnHn9X1yXYEcygVJSeAT2Ix6g+LOjxazoNmMyWHHRBQ1NQlBsQptYsb+3Jv8AK+MF5H0pl6o0eVUkzokCJGdLSgtCnHFKCQeORbv3xn7JQ\/pBSt3btURBkjoeg7mvoHtdqLGkX4urowiEmfWRiM9O1LgMZgzdNqdZIjsIS1HTLfYjBpiM0VJQFqSkWAFubc4g1WC2EClzq\/8AxGk0uofDtyWnVKQWyCSWr9gTzbH6ZUSkrnwGy9dYLTiW1eVYSrjdc88i+BaRKdmnol7pspVcIHCQfew9cGKftrUuBfxrMg4wT5ExiRPFFWLLrq9yTCExtwMCAPrzHSDxRPTsn0zM1UmmhJlKpVNhmTIcKRdu3rdRHF7YkQVZmynlV2stvPRGa62qNHIdKHHmwbKIA7o4sffAa3IlNKWw0paQ4AkhBPmHzHrjvUhWYymoVVVLQYqdrbL5UOkk82CT2B74SPJafCnlIM+WAkzIjyjpPSmS7Fb5DTywpEgwRJITn6lUSY4xzXWYimy4jcj4h5uoXShaCkbCkJA3X+o7WxbVShPZUjxmq5SHI8qVGKk7m+4JCkL59wcVEiiVKHDjVWfBeYizApcd1aCEPBJ5scFVHkzczUmYahVYUJVOZLzL00KWXglPDSCb8+2BTbKchrZnEdBHdUnniIiu7tRaShaVy2DB\/YAR2PIg\/avjKGQZeac+QMvRmnG2KhJQnqNMlQQhfJP2xsWLohpLkyeigVpFarUz4dL3SaSpW5KTZJISLD17nGdfD\/nPMD2p2W0wFIS4w+kKKgDuTt2q\/b0xsLPkxyk1LMtWDAeW3RUOdNV0g2UeOPTnCK\/Lls6yG1kJUIMcZwc9f3pa4FOoc8dsKU3ETnoo8YGYGT\/FVNUzjTsp5flUzLlCpmXYjjSmnJVWmNpCEEEKV0QSpZseB74xN4gc\/ZSznXYrVFaU9EokBqlxH3U7eslsG7hHoCSbD2tixkZXzJqBmUQ4DDvVmuqKOFKQi9zYH2x\/VTwp6rN1VUFnLZfb2X+IWQ21Yj3UcM7PTmrRr3hSxE+nrGZ\/7oNjUmb11DOQqJCR0E8YAET8zWeZtRdS4nogtJQbWQee+HXop4m89aTUqXQ8umMYc1YkPokNBdlgW3An1txb5Yuv\/wBHWa3YT8qVmOiMS2mVutwg\/wBRx0pFykW9bA4W+nGV6bXs\/UXK+Y3HY1PlTEx5Smv9oATbv73wawlm+QpKTvSOfQ\/vRt+UKCFIBSocHgj+etPhHjB1HqjJcerPSWkXSlpCW0i30xzV4sNTEFSJOYX2wUpKSW03Um9+R6\/XDny34aNLmnHWss5WjVNEd0oVIqlRK0lQ7jYkDAJ4k8pOQKI9lL\/CtAjmNGRUKfJpsctrOw2W2onkixGFDtlpviFpxn4vPp0P5NTTrF2WfezcL8M8GVZnjmKE6Jl+p61Pv1jLDSRUmiFyt5sw4TfzbuySfYjBjD8LokKjN56zQlDzYuYtOQZLy0k3AuOE8HvhX+GirzY1aq+UnH+giu09bKButd1HmR\/S2NX6lasy9OdLKLnLK1HhOLeQmNJUtH+zUBb078++Fzqn7d\/3RlUARt7wcYMH8Fc6dpdh4Srp6TtyevXsIzkHmM8VLyVpDl\/IzbsjLFBh5faI3Gp1RaZEsi3NgfK36+uKfUzxL6caRZLqLeSq9CruZpLnw7rzr3VcBHFz7gegFk4xZqj4ndQM3uutVWvSCwb2jtL6bQH\/AIU9\/vhE1jOkx15a0lA3832884Y2+hNybi9VvUemRz1mZ+QAFOUOP3CEtacjw0j\/AHGN3yAwme+T50ws653magS63mbMeZyakNrjLTra1GUSqxSkjhG0c88YWgq03pKYcfQlvcVbSoA3t\/1xiikVd6Ur\/WHFqA9b4i3825BuPnh4VhKQhpO0ARimFppHgBXiGSTOcx8\/XOZOaduiGrU3JOYGnmnCptSh1UbxZaB3SQeDfHLVGt0irZjqEyiltEdxxTzSkpsFC\/I29rjCfZlONX2dz8sWjFQLkFTW+7jSuo2SbkA8EYWKtEIuPeU4URB86wd0pKHfFTUx9qLJRHEJ1cqU+FLcbSkpLW2\/F\/W45xEjTekR0m0gg3uRftiCslwfENqCFi4KUmx+ox8svuN8JPzw0QpJAgQft+c0aGCEwTNMWh5inORXqIVpbhz0DcLWAP8AKQDxcK9e+KJ2O+xVGwFIacLosFGwCt3\/ABxc6XVKbCqCqrGyu1X1QWnFrjPMl1AQoW3EeljzfFJX6vFrMp2S1FEd25KmwLJBHe2DENlna8Jg84jiODwT+0UtQg+8LZSABAPM5M9On80XSsqwKFWHf4rmCKw60rfsYWHgq9jtBTwe5GIMaHlifW2oDlaVS6eQvqTXWC4EixKfIk7jc8ffAxTJMSQpiJUVrbjNuhTi2xdYbJ81gfYc4vIk3KEGqT0rgyatTUIcahFxzouC\/wCRxVvb2wzShm5eCwQlBVMEnEiTxmOkjyoZ1l5tBCior24KQBnjE\/DPUAz860D4bGoGtumuf\/CjX30rcr0VVdyu+4qwZqkZPAF+29IF\/klXvhSeCrP8rTTVWraR5r3sRK2p2E+w92aloukgg+\/I+2KLTXOlV0+ztRM8UVaky6JNblIAVbclJ8yD8lJuD8jhreOzR6o0nVPLviQ0vgFNDzxHYriS2LBiaEpW4DbsVCyrep3Ylr+2Uh9LzQme3l\/j9jVFYXTaWlWzyoBGJpNa4ZIn6D62vrp6FNwlSPjoJHALKjyj7cj9MPfMESDq\/pYqSClxxTA5PJvbg\/bBzrZo7N8QegNE1KpyUrqlOjIkL6KdyimwC0cd\/wDiBhdeHLKWZqfNcyjJivyYQICHPTYr3HcWxm3p7jbivh+A10nV7Z9KQF\/Gn+KyLSFTMlZpVHlEtqYdLLgPFxfg\/wB\/vjQkbOqxHaAki2xNu3ti48UPhfq9MzAnMdNYLER8hty6Sq59FA4WDGm2YmmG2hMdIQgJB2ewwIWVMOFA4pqi5auW0u96\/J9VkKYdSh8BO02CThO055wZuU8k2IcONXUrRjT2lSJEbOuY5couICY6qe8lCQvaom\/lVccC3I74FKlpPlLL8l6uU2kK+GQW1IXKc3OKKhe+0nnt7ccXw1u7N+9dQR\/tzzOPlUhpPtBpyCtpqSSMHbAPoTz\/AN0GfxB91aAUBajxYcnEqMqe68EiK4oJN7bTwMWSsxNqejOrpsdpKFjcG0hoLTf5dj3+mLmmhqQ9UVxbR+mlbrDQsq\/nFkEnvZJPPfjDpnTW7lKV+IfQDy7mB96YF9bY\/RHz8\/zpTP8ADvRc30rOa83P0aC9Gkxvho6pt03JBsls2sSNtyL9r4JZdHhUJOZqbTdQFQ5lblKcmtxIyS2pJKUlCVXuBdR7D0wuU5\/zvlWns5XSCy9JQWm0uPuOLQ0onzoSFbGze47bvW+LbMWb6RkVLTMyTETmLooWHGnEuKjlY85UByFgjgW43E88HDpYcSwhlS9oEZ69TH3r5hqFhe3GpqfIB3wkJSAZCDgmdwABPIHOc4FfSYTdBcp+Y80UiY9HpwXHjqkgsrmqt6A8kJuLn2+ZGJWRRApjkSW00DHzJPLaEJb3fDuNWKSL97lwX+QwG5m1IyfV3VNp\/idYltI6qVoZUbp23Vck3AHJvY9hfFjl\/VxDelNcFPy8wuYlaxGkkXXH3fDpWUceUqRuBIIOCbTVLVJCic\/X54\/7o96zvV2wKmzuUQkj9IAJMYJ6E7jgTEcYogptGp07I0urIhyZFb\/izcdK0uquG1IUoAIHJJKDhg6KolQa05QpMNS3pLQddJJ3pG9NwsHsQCTz6YzrOzvnE02g0ijOIprUplMxbwAStT6lqTuUvuAkJsB6XJ9cE+XaJnDL2pztEnZlTOeRHUVyWHVKQq7YXb0v8\/pg1WpM3ALaGyZ68AVnq+mLuLV5l90DduUkZJATA9AAYx51ryhZr0qo1Ui0auTqdAlwggsF14AyC6gFSiU9\/Nf9saZ05r9MmQlfArCkMuN8tDcmxTwQfVNhwceeOTafS6RXJdYrLsZbiENxGJDkFEv4aQ24pO1W6\/TBFubcgDnjG5tJH6s\/Ry3KlNOOKYZUgtbQgkKUCQE8WsU9h+mJr2osptQ8qcmMn6xj65qY9n7RGm6iPDWVeajiSmTtEd+c8+VOPUylpzLpjmajJSVGVSpDaR8y2bfvjyT\/AMV1ujx5FPgVeXCbeJ6rbLqkBZHHIHfHsRHbTJp7sdZCg7Hsfumxx4x6gMLoucq3R3UEGHUZDHP+64R\/bEx7I3BbZuGt0ZSfqD\/avtOvW6b1xhxwTIP2M\/zVQH9shVyVBxKgST64p1upcJ6ZAPa3zxLeZfQj4kLSE3tiO\/0ZTiS0gNmwBCfU++Dbu3c8RQP0PPyoyxSkZBkf2qbRItWlTWkU2GuS+n8RCUi5G3m\/2xfVyq0qsmHWKlJnzKx1dtSbeICemngAEevpixyLUqLQcv1V5NacZrT6eg0yhu52H1B++KGJDoTM1wZgektNFlSm1I8ylOf73fG4ItWW2UrBLmTuIhEcfPGZ7xXiXUvXS9yCNmAQDKsfFzyMjjqPKo1Zq8qsKTEjLkCnxN3wkZbhUGUE8gYkM5mqMmgJyzJWhUOKVONJCAFBRPN1dzihDhTu2KIBBH1GPuK4UO2tcKBBxPuag6pSlhRBVgkcETxHanblk34IQEj4cj17+tMHQySzH1Koa1qNvi0XHb1x6DZkZekVl+opepphPwhGeEtXlFjftjy9pdWmUWptVGG6W3mF70LHoRgkqWrOcq0h9M\/M01TzqxtQHClP3wk1C1dvXUraUBGDM\/agXbZxClbEyFQfoCP5rdc2s5Jy\/DU+9niFB+HP5YDKG1H5A98VL+s+hkmTEiuVmfPcXZLyp8lSkA9ye\/rjz7q9frCnltSpq3Pfzk4qWKtK6wbClLKja3JJxta6QhLoS8smYkARx9Tmldxpt440VtlKTBjE\/P4sY6Yr1DzDmTT53KNHzxpzChITBn7FlDVwUK8iwTjEWpDTuSdSZRgNFtLM0SWlJAFwVbwf3w4PC\/U3sy6Z5jyZISoPx7vNoWLEcA9jjhq1pVUc1Q6TmiktKlSHmgy+02m5Ck8c\/bD72fubi2u7m0QrYIMZiAM8\/WpjU2gyyhaxuUYEgckSDx8qaGS6v8a3PbjPqaVWIaJzSkKPdTdl2+4xD1OhyMyab0HMDylOSqW8unzDcklKhtO772xDyJQ61lak5bdrMZbbzW+KoHvs9L\/bDNfpFDqFIreT6b1HJEhr4oJXe3UHt++J\/UEBV0XgsGInPPQx370W2pTjPuqkkFYIGODG9M9siKxDk6axkDNzxfpKX5LExBZkKUQpkBXJ\/Q41fIorWdNMM15ObbQ8pLZqUJKufKobuPocQImk2TZCkVGo5akyaiUhLqVcJ3Di+GHl2mx6XVkViWlmmxm4ZhlkuABSLWF74zu9Vbun2CvGwRwOJn59aC0qxda8RKzO\/kZ6iDzgdDjqK8n85U9cWW81JfS2tC1BSR6EHthez3AHAltZIF7ki2NH+JLJ2XaNmKvTKXV23XfjFLRGbG4JQo97jtjNshCnHtrYufa\/bF3cIhlBSgAOJCgQZJB+ePpNUugq3tkZ+EkGRGR\/Hav1DKFx+t10791un6\/XFrTctT6jRZtcYcYEeAQHQpyyjf2HriguQq3Itgy0tyYvUXOVPyWiqop4qS9hecPl4F+3qce6a2y6+G3UbpBAAMZ6GTPHamOovCzt13C17Up+IkiYSMnA8pqqobNLl1VhqtSHWIalfjuNJutKfUgY\/Zn8Oj1OQ1TJDrsNK1BpxxNlKRfgkYYevWhkrRWvwKZFrH8WZms9RK0ostKhwQpIwvYeVsxz+Y9Kfsr1UnaP3x7etC2aFspA3TO4TJBAjPb5c0v069tdZYRqNm6VNLGOg55giZ6VAaW8t9KWUlSlKslAFyo34GCChZXercybEkzGKU9CYU+pEs7N1v5Rf1xZ0bTDNqJbEwONRXGlhaDfcQQbjBgdKKhXagup1+c\/Kfet1C2gIBsLDtjyy90bSFvJKlBX6eAUx\/y5BBjpW1yVqMNKAEc8mZ7cER50HZM1Gq2TYNTo9NbYUxV0hqQu34m0eiVDsDijbZmvTSI8V1zcomyUlXBw\/aJpDRYwQW6O2pSCDueVc\/XnBqrKVJjxkuOPxIxQLbWkgHGilPXDaW3FYTwKBhth1bjTYCl8nvGM\/KkDkzIb0uqKOYafPahlpWxTYAO+3F7+mLKn6S1RMsJkzG0NqNgEjcbfPD\/iSsltUZVPfpy5UwuAoeTySPa2I1WzFTKExseo4gki6TITtJHvzg0MyyhMCBMkAznoT5dKCLiy6oqJE8DEY6j16+lAeStBW6vV41I+Kd3y3AhK18Jue2PQij6Qw8yeHxOkeZG2JdQojCXaY8lJNlt32W3c2t5T8lHGFHdcIEAtGPVENbVgEsJuoC\/fjDuyj4pJGS9SsvLYq87MNFnNNtyCWgAxvIBJ4Ha4PPscc3Nk5c2hVbKEtkKz3HGfPIz3pHeC5b1JiMoIUCInGJzHI5AkcYpoeHKq0jJbE7SasT4qOstxcVn\/ACNngot24VcWwC5op1N0S1HcksJLrUhwrbD42FtlR5SLdwDb7WxVeKChZ8041qp+oeWY8dmgVxSZiHFrBDbqv9qBb8t77rdjzi18QOnub9WNOIGcYFbdekxmgXGIaCSSBzZQ8wuPXC1Tje\/3kYSsZHY\/kj5U5bsA4Ng+c9fz+aYeeatRM85AceeDSyhNylxO1KU24UL4w\/OzJJjTZEZDkYpadWgEEcgEjDi0bp7iaA3BqcV5TySY7hkOlbhSeAQFEk+2B+p6H5tVUZahROC+4RyB\/MfS+Bi2HhLIJ\/POKZMXLOl\/07haUzxJApN5gz9Q6RlyNS2K\/TpMlaQt\/oN9RbZ\/lG8XH5TyB68Htijl6xZaapP8NTAmVBbsYIdcdCUJS4CTdPc27XwjqmzUIUhLLslJUppt4FF+y0hQHPsDj6ocVM+qqjTVuOJ+Dkv\/AJj+ZDSlDt8wMYXWoPXCw0QUkGAJ4\/DXTPstaMNeKtRMEqnifpHyzR7A1Veo1TTVKdTICw2xKjIakt9VCUPoUhXHFyAolJ9Db6Yq\/wDHc9ph1tiShpt+xc2hINxe1j3Hc9jj6TS8vt5nNEgUlqRNiVWTBXCkubWpbV17NrpUChwcJA9SE2JPBVlcDyKrObbafjmO+40WXVfiNgKI2q4FyOx4H0wC9f3Vm3AVIJOB6ZpvZWVtcOEpTBgHMcSSMT3kz58zIDdy5mnN2aqpBodKrjkBMx4MB5DpbBKlW3LUDc\/U+gGD7PmktW0t1JhZTYrcHMcyZGYqDjq7lKRvUVJXc8Jsm5JP5TfCg0mo83MYZixlLZDTilvybEpYbuBvVYX7kAAclRAFyQMNaqVWiwc5Ti7UpDzKKVHiy2VKSXZCmdqERUup+iS8QbCxAJ43Udi409ZNuOiVkjPlHTt16dfKkeqNu2+ohu1UNuxW5ATJUSRtJVyIzjAJ5ImatxX\/APB9czJnKjuxoZzI1KgQWIrKEJVHWdq3Qm10o48va5+QxKyPTon\/AGd19KVXCt1vw+UjpqVcn2\/CP6YWVbzC\/V5n8SqTyErVZBNwlKUAWShKewSkWAHsMGGl+esjwWatSK\/XmmkT2wltKUqd3q6TzVvKD5h1wqxtcJVbmwLJt9hlcOED1Mc0vvdLcZsitCCVyiYEmEEQPOB\/JxxVvVYyUZVyxNbSCj4Z6PuA4KkvrP8ARYwZvSEUvNtMzQ7dNOmxYwMtADiAox0ocHHqlW66e\/HbCapWr8LKsiTQp9JkVOk\/EKEmGpISlQuBuQo8oXY8KAB7A3HGBuJrRmqAl1iivR2YEsFMiM82Hmza9ioHi6biygAR6HHivaXT7WE7pPkP+hXa\/Zu+uQpBTj4skxKVmY6kKHmCD88avjwpaq01U6TJZh1GoLSbKdC4VQBVyptZ457ltfIv78Y2PohV4YExuEJcR1qKpKozwshS02upCTyg8G6ebA98eOSc\/wCbnorlLXmCYqG64HXGEvbW947K2j19L98ei\/g+zLNr8DTqoVKc\/KWtup0ta3nC4rhCVJBKr+i7c+gx+f1lrW7FbaEkbQefLPT8FJrv2ae0l9px1wKBMYHSCR68RB4mQeg9EsszUzoUV\/8A\/lY5HsQbHHlZ4rabBout2bKb0ksuqmmQg9greAon9Tj1CyMS1TITW4qLfUbJPrze\/wBMedf+kajR6ZrEkoh2XPgtPdX3Kbg\/2xIezSE++3DJMDYSPMpOB8xVo+371a2644MfVIP8VmCfNfYQlBTcEd\/Q4giY6tQIVtN\/TEppx16CFPJBb7XV6YiGNHSQsPdue+H2rW94FpcGEkA9ulN7AISNhFSmZrjTpcCjvI4UMdVSH3lbnXFOH5nEHqoUqyR8r4sOilsJKXAoq9MSq0qW4pQM+f5zTcJQmDGa+wGyLk84\/kEBYIvYHFs\/lqVFpDdYW82ULAJQO4B7Y\/cuRKPJmqFYeLbAQSDewKvmf1ww\/wBCuxcotngG1LE5OIPU\/k0Oq5a8JTiSVATxk1SSxZy9reuIL\/5gfli2riYqJTohLK2AshtR7lPpiqbZfmOpZitLddVwEpFycI3LdZcLKcmemZPGO9EMrBaCzjFQZCrpJvc46ZfgVqbVkOUOIX3o6g7YjygA+uLikZUcq6ZnXliKuJwULTzfnv7DjETLuealk34tunNoUqQkp3+o9L\/MYo9O0\/3Ndvd6gS22qSCMmU9IyRnGRQV48t5lxq1AUsAYOBnz9Kf\/AIV9RJEfVWRCzCpqMuc10FpTwgW49\/njUct6jZYD0ZvNkWPFU4V2KwSD8seXTeYatCqZqcKQ8iUVbt6b7gcFVCr+a8w1IHML1SkRtqrFRUE7vS9sA3elOe0Wqb0PBBWRKlY+ZPFT93YG1t9qUSB0E\/MCvQOu64aIZVfiS11s1J5jzOoUq4uPa\/3wrM8eMfLX+KWszZOpZQlhrpuIV\/P\/AGxkiVkXMtRqDxifhRys9PqKJO3BLlXRGq1WS3BlTXSZCgkBKbC5wyt\/ZxptxTKyFZjEBJ6SPIxNJnLBaGkuFW3bnz75NOWp+K3VbMtOlVnLtEKIUYnqusoJ2\/M2wm69rHqnnOLKmprEtTLZIWG1be3ew742VkHRmNpFpRUaJLW1NMsLcUFp4utNtp98Z+GTYFEL7HXajNvLUpaAAAb4ptO0fRGxvDRKU4kQZVAzJHE4qd0a\/f1p+44KEKAQqT8Q64xBqt02q2nMzSWsNZngOu5hmtOIK30ErUbWTZR+fPOELlTT6qxKhKdnUpmQy4lTbe83KeeD29saJXRaBDYVJQhTyGxdRQm4GKiVmijU6KqS1Bs0DbqKHF8Mry9daLam0bSjIPI4AMAiAMcZzVDpGhs6e5crQ4pXjqBIJwk9AnqKTdK0CdlPJMqa4rer8qE2HP1wd0LRCDQZTcyO0tMhghSHeobg+49sf07WWkRlFtmXHQoDgI5OKGRrFOfuiBEnyivsUoIH6nE0hopHiJwZkGYqjdQ658KjIjimTUKG3JcTKrlQMh0CwU8veofS\/bHJQynAR5nCs9uBxhQyMx6hVhShFpjcZJPBdWSf2x+t5Qz3WLJnVtxpB5KWUbf3OAXbhTqiVSTXLVmllAQmAB0FM6Vm+gU87mUNDb6rIxXTNXYbUVb7UyKlCeLNi6sC0HRQP2dqT8iSe5LrhI\/TBXS9MKDSmvMhltJ9LD++OG1GZUK\/OpSBiqSJqVVK++pijU+ZJWRwdpSD+uL+dkvXhqjity8nqp9PeA2vPL3EX7EgdsEUGNlOiKaeChvQQry2vxhnZm8UsKZl3\/D6aXEbCm0tuOKV3A9k4b24ZLY38znMY9Iqb1N7UmrhoWLaVIJ+OeQPLNIvJFBz1S80U+tVacXW4r6XFR0NWSsA8jDm1ojULVxNNSqhPMLh3KnXlgE39OO4+uF+zqUmpVNlLEZ5bKledTLRNh9bcY61hOdqzUVIy7AdEcgEKkOWt+nODmnNtsVIIIkiJzkZx2oS60q1utRZvnkkOtg7TmADyO1flM0uy1SAQ43GQBySALjBDFh5Do8ZDzsxK17rFCQLjEWh5Pz69Sn6dUJkZr4m43Np5F+OScfrehVEhuIezFW35HHmC3rJ\/QWGM1hpDSFtnduGRBG0\/wA0flZKVYg46yP4rT0fMlF1r8PFQRBMSbWsptkxm5AC1bm0+Xj5p9vnhaeGrXqt53odRydUqPOZ+ESuOFJiKaCDY7RuVb1FufbB54eszZA00qkakwYkWJBqoTGdeKkhJWL7T9zcc++BHxH6mZR8P2e3ZVEp7G2uNl9txCS4Csm\/0vcg\/c+2ENzYrRdKYyEkbk4gGefoaJsrgONEbczHOcf3rE3iB1IzbkPUSqUSPHkR0rcU42pb5ujnkC3sfnhNuar55ecU6qtTCVqKj+Is9\/vgq11z25qnmX\/FC45bK7g3SAbjg9voP1wtgl0ACyeMTD7YZcKFExyPnVS14S20qWkT51e5ggVhlcapVOIplqeyFxL2sWU2SkAXuAAABfnjHzRFt0yYqpykuhDkKUxGARcPOLSGyL+gSHConnsB68SVRjLXTkTnXSyzDccVY3JQhx02Tc8XsB8vtjmylNWqyKhVN8eCywsJShW0BtKkgNNbr3Vcjn5lR9cN3mCH\/EGCSDk+QJJ4xn8E1+Dm9rw18ZmO0kAAZyY\/MV+Zp3vZ0rTrYPlrUhX7qtgkybpVQazNTOrEma4ZlMVPshYSnrGd0CCbEkbTfve5+2Bd11Fcm1CrynmowcqJeUgAnlSSqw57XsL\/ADGGzkRxtIpCWiPxqWGd1+OKsg9v+u+NbS0buHCtwSJJH1jilmq3D1pZpQyopUIBjyTPPyqbQ6DByLlanQ6Yv4RNRhM1WbUCi647biRdaeRuduVNNIvYHcvgqBbV2sU2dCkUd3rfBx1xFojUxtZK4sckKR1TxdblytXqbg8AgBq59V1tLssvNkJUqDT0K+RbMpHf6EDCn1zaZk1tmqsPtPNVBlqQy4hxKwQppIUDY8ELSoEGxBBxrq\/\/AI9gUoERt8qXezyvHvA86ZUVOAk5kpgfXJ9AMcqkFMsLCCtS1pKfKly6r37kG\/H1+WOsJxmM+h\/cG1tkqPmFgR+VQHF+R\/yPrWU0f66mM8SUqumybkA2x0nFcZ9xgJFgoo2EA7efr8sRIcH66vojFTnyZMt3ruEdRR3Lvu5PY8AX59sc4b6mkuRXkHYqykqI7fT644h\/cQlCOQQApJ5UfTj9Mf3neJbA2i\/5dt1Cw5v\/ANemPAjJ8v56V+ORFWSW3xHZljlO8p+tvXG+vAbm6jTKVQMtT6iYVQp1aVMhrWi7T4WgIW0Vd0KNgQbG\/bjGGaO0uqUANxm1OupdUAhtBUfTmwH74d3hZrMqh5jYakkJMSoNuW+V0kcfTFRol2luWlT8WKnNc08XzO2YKTII6EfkHyr2ryA88xFcjugpLNQKUg\/5Fjy+p4xjD\/SiUMtV3KmYUo4dbdjKPz4IxrDTmouSEVNS3FHY5FfAJJ2j1Hfi30\/TthM\/6SvLb1X0zpVTjMdRyFOSfsoWx3o7axr6GhyuRjuUgj70LbnbYjd\/tI\/kV5vU9bc5tmkrdDQcVYq\/fHKu01NFnCKzIUtJSFeYcjBdo9l6g1LO7EPNig1HaUlSgrt3wXeIPKlAbzFFZyVGdkMjyrUgXvf54+maxphudPm5TDqRgwcJSdu09JmTFAs62lnWUaakKO5JUTHw\/XvSca3KQF24xMS5Yg+owYv5EqdThR2qfCQwoEAk8ED52xb0jQ6rPoD0yUdp79NH\/HHzm80\/3Z4obUFCAZHE1VtXSVI3LxRNpBodVdVqE9MNfVGhxiUtt3uCr6YW+aqBKypmCbl5xXWciOFBUjkK+fGH7kDL9byJDch0WpPsoevvClk9+\/GJoybTHHXJs1DS5DpKlOKSLnDK+uLdy3SG\/wD3AE5zIgQqSSZBPHby4qdshqjWovuXDiVW5\/QkCCPMmKy6mi1qYooj059YPYlBA\/U4vMu5LzlCmpmsRGm7ApKXDe4P0xoRVPoUFV3Cjj544SMxZfhDa2G93pyP74nWSq2fS80opWk4I5mn6n\/EQUKTg0m\/+yKsVea7OqE9xK3zdSWU7R9MXVM0JpbBS7Jjl0D1cVf9sE1X1QolJUQ7JYb9gFgn9sUR1QqteUY+XKXPqDiuzcdlRwcwhd26d0rXk9zJyf70O48WkSSEp+lWyNNsuREhQYjt7fZAGLlNPyVFpQhsxupL9AhG439+MK6u1fVREgxHMrPQVq5HxK7H9Bgu0GkVyk5x+Pzq60uOUja2hrgHn1OKDTkK948JadpIPI7CQM9TwKT6o+pmxVdsy4UiQlJ\/V5TX7Ua\/QqGS2\/GS04n+VwbSP1xSta0UOFU47CajGYCnUpKkkEp5wSeIDJGXM85rbqVK6wbSmywHbJUfXgcYX0DSagwCD8KylQI5KRf9cEvK9yuBsyMHPPQkH9qz057\/AFOwQ++gtqWMpOSKYmpHiUrVPXDpsJ+bVYrrZG1ts8EfPtbCWrub9QMzLcmwKUiK2vkB5zn9BhlPZaocJtC5MtCtosAVdvljq9UcgQaOuzyFyQCQL87vQWw0fuDclxpqG24mCQDx3Az34oXT7BjTW0+EmVcEgc57UsKBB1NqbRoi6slpEskXbbsUXHNj64txo3UUtJy9VpzkltSd3UccVci\/a17Yuo2bGHU74MdYcSfJ00nviNLrmbqi7vYjyA723EkG2BLfVFBpAuJUBgZj4TyPzPSaYrYJdJRA6nHXoaucvaM5Fy\/Gc\/iaI+8jyqKRyLentipNDytTXykrbKUk297Y5NZbzrVlj4iUpsKPcm5\/fF0\/o8WY6JVQrClk9\/NYY9v7hF8yAw0EpR+1eNp93XLjhJVVM7X8t08q6aEE+l7YhjPK13RTKc46SLjptFXGCuFkbJUN9BmPNquRcrVfj1OD1UrTDKlIVIpHTkPhO4pbG+9vphfp+kuaio5gDmBJri7vUW0J2kk8dqSaahnmqeSFSHkpJ7rO0DEyNkXPVTIMycmOlXonzf1wVHOVeqbqlUDJkxwLNwS1sH6m2JDVD1brQA6UOloPqtRWf0Fv64UuNhCiMkVvvMcAVUQNH4\/56zXHnAO4Lu0foMGErT\/THKEBqdIlRnV3BVvse498RGtIp7yermrUB4J7qSyUtD6X5OPh+j6DZVSDXa3HmON82lSi8fsCT\/TBVu822lQUmSeDPFL30KcUFBXrA5r4XqNkGGDHo8X4txPAQwyVqP2TfHaFnDP9cHQyvp\/PO7hCnkBkH\/1G\/wC2K13xH6QZZvFyvl5UpaeB0YwSn9TbFBJ8Xec1TEKytlNiMlKrpU\/5v2H\/ABxiXhugq+leKTAwn6mmMxkHXWrqKKxNp1BbVyACp1dv\/aMXbHh5jyYTlTzlqLUZbDSbuBDyWGxbv25\/fCGzNq1rfn11D0iuOQGgkgNRm9nf598fVKrWbEUR2k1CTImKdvZchxayknv3OHdlaNvOFtxZCYkGCZ8ulIr7UVstBbe3dORPA9afNNz54btOYzUNmfDnSIawptfMl0KSbjm59cJXxheIeka3mnN0emuNR4JsHFthBPyH6n9T7YE6fp2psrkLQEJI3EkWthL6hZhi\/wAfVRqW4FIZJClDsSO4wJqjq7NtFzcmT+kA5x5UbozrN3clu2z1J6VEdZLm9ramzw3DzDlQ72+vf7jAi85Vm3VtiMpQSogEJ4Nj6YIoy3XAhFiSSLAcm\/yxafweSeVJ2q9Qd1wcS7to7rCiu2QTHMDv+H8FVKHxakhUZ71yVUYkYtSJixtVT3k+Qny3W5tt+oFsDU7NTz7UeIqS5IiROoW29tkoKyCoj62H6Yv64+wzQQQgtyZSQVrVbYGwqyUp9gAPvgIdZ2tqbadQpPY3Pl+oxrq7jrSglpckgE\/MAgET1gEzwe9MLQIXlaeDj8+ZHpUw15r+HOsNRR8TIkJe6qySEtpAslI9yRyfkPni4yfnfMD9botHbnGOwqQiMVNJG4NuPJUoi4PIIBH0wIuwnDHDu87he4ItbEnLDxbzJSnNxSG5jKjbjssXOJ5q5umrlCVqIBgGMSJnp50U\/bsOsr+GeecwYjrT2rmXKT\/2X0me9NmynkxNyuvKUtCB8TayEE7U\/m7WwqK238PR3YbYDcdx9txwJAAUUhQBP0uR+uGzNdDumyG1LA6LbzaQE8n\/AFlB\/wCOFfW4jr1PdU02XA3tUsoSfICe5xWa9bpabCWhEoB48qQaEV7XA4Z\/qK\/fFDVI6aKpHUralIdtcJvx6d8EK8twZ1NrsmRLWxIhtIkU\/wAoCXlF1KVNq9roUVD5o+eB5llYnMrSzyXEg29ef2wfwIT8p6oITDiyi5S5gS0+gq2hLSiFJ5Fli108nkdj2xFBJ2lJ7\/xVMo7VbhS9q3XgAU91IQ+2pSpAbKSm5sEgFPyHue+L5yPBy\/QoJiyWJFWn71OLbWohqMtBTtN0gc3N+T2OIo0y1AkKanTcuzGY8ptt8Ouo2JLSwChXyBTYj3GLibTolMiFDzbCumoNoT1d6kJt7fUnHjAlcuSB3jgfaa6WoRCTNTcgyhTMr1GNAYLlYXLb2uhfDLJSQRbtck9\/Swtgu0Qcfp+aJTSzt2vIJVe4Cr+\/2wMac0yO7GzAwirIWEwkOJaSPMSFHj6c4taQ5TsvViLJRLfhFxA6xc\/JcdrYobVNq0htSdxOc4A7ARmfMz5RQD25ZWK9wtGW2ajR25CZYV8XTWlkJt3t3\/6GLHxKZRgZu0lqkScwHS00HUX9Ck3GM8eC7W+LXqXTKM9UI69kcsoUDybC4\/cHGqtR5zMjTepSUtOSA5CWoJbTcqOzHN2m40\/WWbhJ\/wByVAj88qS2qGvdXmVDP+f815wx9PKVFk\/GNstNLCbXQLG31xMTBojJLkl5Lik+qjc4XELVPNkmVJp0bLslKw6pAW7wLA2tbHFmNqTVJDyJC24KH1FQDadxt9cfWL8++NhwOzuJkc58xQ7O5pRBTxx6Uy112gQwQjp8egtiHK1XotNbLS5UdAHurnAfQdCqrVnnJNfrs15PfppcKRbFn\/2NUClSy2WUOH\/Ms7j++JC6064tWfHdESYic\/OmSHbdxXhgya4VLW+ItBTTm5ElRH\/ctnFK7qFnirm0CgvISeynl2\/YYYNPynQoTNg02LfIY6LdoMC4\/DBHpiYeClqBBgUYhbYwlM0snKXqTWz+PUm4qT\/K0gkj7nHWNpPUJTiXKnVpcg3uQpwgX+gwwHsyxUD\/AFaOtX0TxiC7mGpPkiNGCfryf2wGptIMkya08RXAECquLpVQmlJW9GZKh6lNz+pw3NIKtlLT+pOPVNtoNqRtSuwuj6YWKm8xzeN6039hbj6\/8sT4Gn9YqjReek2QP8yzz+mHWlrWXSlpBUSDPpSfVbNm+tlW9yr4VYxR9rHqfkvMU5lVMaQtLAILm2xXhds1WnSYa5UcKDnISkI4Fvc4\/nMo0uFcSXgSjvyByMchKy9SwUMrSSr0T5icMm9QS05\/VTKQIiaDtNNasrVNtakgDvmhiVmDMElf4MUhIPzP9MTqxGrFep6G4zXSUCCClNikeuLNytlwdODR3VW7KKNoP646xU5vmfhxIDbSVHjuSMdWupraQ4yMhwQZEkehot1sEpVxtoTp2QZL0xk1icpbZPmFybj6YuazkbKdOeQpSkJWE+cW23xe07KGYUVNqVWJ60ISbqSkBNsWeYMr5QkFp2dO39O5Upxy325xsyhpVisrUN8iARk8dfz71i6+oXCf+MdOKCKdKynTJaER20OKUoJslNzzi1r0+SyW3aLQ5L6VeX\/ZbbHHV3MWk+WiE\/Hw1PIN0pQoKVfHRvXmiuqWzEoMqaGwC2ekEIt7898MdKtfeUG1IlSj8JnAoW6uA2sOjgc+ddmqLmyq0cOMRWYSyjcFuKuQr2tiCzpnmWppT\/Hs2KQn\/I1wB+t8B+d9Z84yVOt5bpLMNKQLKKis3PpYcYCIVQ1azKpTlQzBKQg\/yMjaPn2F8F6w24l0W\/hhJSI+Hg+p60O1ftIZLhXz35FOeRkfTbKy0ycw1dEjbyfiH+P0xDOtOiNAdEOAGHrfyRW9wNvTgWwkqxkCv1gqVJE2Uody5uXz98VsPTN2K6A\/HWgp\/wAwscIrd26ZIS0Oea\/e\/wBqtrc6v4qeNW8RTSm1\/wCGMrulAHHUUlNvn6nCsqWu+rdZlOsxXWIjW4pHSaJP6njE2BR2YKQ2+LJtyQDc4skpo6EJajsJ6pNhut3wdqLbdwtCbVJB6yetJxrRZKgBu7UuqiM95jKlVfMNQd3clPVKR+g4xHpWnsl166kKWq\/JJucNau0V\/LK4y68hEFMtAWyVi25J9sS8v510sy486\/mGr9dxtJKWkpv5vQYGvLRnT2wu6EKHbvQo1+6ukD3ZO4HiMj60IRtO40YDrtBKu598EtFy1SYygXEJ8vytiizR4issRUvIy7AbdUoGxdT2HywB5o1LrFOgwqw\/WaW6JtrQ4ktK3mwRfzpTfb98c21xaqC1hGE8nkD88prBNprGoJSlwbN3APJ+VaZpE\/KMWKpldLS4+eAtShtH3OIdbgtxYiaq9Khxo7gJSQ4DYD0sO5xjGTqVmJ9SjGnSNjh7qVYDn\/ni4y7rFnumUmdSaVN+AlPtk\/GIu46pQN9t13CRtuPKB6Y4b19DLkokBQwYkzPAGBkdyP4rx32DvgAvxATPBxjuTnj0NOLW3N8jKeX4VNpfXVNzHHLkRxQCR0gbFVu4ueObYy8YkhQVKVuW8hXUuf5j3P684MYa6hmijzHKpNck1OAv4xp51d1lpVkuJv7A7Vf+rENUUbg4kWS4N339cT2r3StXcL0mBwD2+WBnn1FW+gac3oVqWMFyfiPfqPlEfOeK\/YMZx4MKjhSnHUpUhKeTzyO2LVUitXO56Xe\/P5u+K2kdWLM6Lbim1NK3trvawJ4\/TBerLdXdUXDVIyis7r\/Ed7+uGulWjrrSvdPEBkTtIAiMTkZ5rq7eShz44jpNLStPLapLUU36iEXI72uq\/wDfFBEQuZu6jhKkDYgcAAYtZrDi2nHSs+bm5xTsn4Zak9QkHuQMSt2+XLjef0jHyAgfPrVQhO1BA5rpNZksMlp1e3am5Ked3tj5gBxKoqFrDaC6k7vUAkXOOC1pdWsoJIV745xVuplsNpSbpdSQD73wEp1PipWnrj71sGzsg06a9XWP4O3TITbiYoa6Mds8Ei4KnFfUjjFNXktRMqltpahvS0tdv53FXPmPqABwMGdf0rzhRsrQ88ZggOswKkAWHFHhQtxb7YDczOtIo4YUzuQthChzYgjscXerquWy4q+Rt+CE+mRGJjOI6cVO2Bt320m0WFpCjJBnI5+Y6+dL6PJdjyGluJSptLoVYjucPLTTPcnLGb4NUp7bLLj6VRUvBhLha3G10hSVehsTYmxOEMvykFQJP1w7tNKWuvxvjKRIMOr0ZSajCAVYyAgguISTwF28wv3sRiEskl1ZQg56Dv5fnWn14tDaNy+OPr\/HehZWf8yJ08zc1UZr82pz6qyzIlSpC1PtthJAACjfuLfK2AmBTZVOiqq0yUDuTwhRJJOGtB04p1Ui15E\/P2XXqlVHf4jHa6\/VdSwXPO5IWOGl3sNijvJJNgCCQDVamsU6ttQaZNZlsttpSFsqukn1t7jGC0qCd68gY58zWiFIJ2IxPl5Cp+lEVa6xMCnEgyoa7C5770\/2P9cRtR49YpjsZmoPFaH2kvMuDsttQuCCMR9MWamxm+A6pN0KDidp5v5CewxYZ7qUusUeHGl+cU9Sm2iLXCSb7b+ovhm29usQgiNpMefBNYqChcgiCDzWm\/ABm+LTszUxiVISNkhLdlLsAFEjnn5jHsZR5UesZMSUKaW2ppSfIQU254x\/nf0XzdIyhm6HIjKVZSxcXsO4x7W+E\/VJrNWmSGHkBTjD60kqXfggEYKuFi\/sWyP1tn7T\/mlly37vcKc6KEVmLOVNpmWc6VZIaYQpuW4dh9ib4oped4aHEqiQlKSjiwST++DzW\/L7a9Uas4yB+OUuhKUgDn1vhbP0mnszkxXuXFEXSrnnFgLu4Q0lbBPxEfWlzKEKV8eSBUn\/AB\/VnCG4cZDRVwDu3H9scpKsxzR1nHHDu77U8\/qcXAoL0RpL8CnreKSCbNFNvueMTSKm+3sLMeKFDne5uP6Jvji\/XdEKbvid0SB0+2KJaU2CFMAR1odiUOpSFhDrp85AG5RP9MF9O0zbZZ+OlvtrNr7CAnHOmUZ9b29+oum1rdNsI\/dR\/tgtaDTrQYcSHCBYqdduPuOBjDSLe1USq45HFY3rz8gMmB1oBqcHL0OSUN7VKA8wvu5xzZcVt2w6U6oehKNo\/U4LZUOkUtKn3pEdpJubo2ovgRqep+RaW4tLk5pxxJtYHer6YU6gwQ8VEbZ+VFtOb0AJzFfYYrshWxLLLI+pWf2xZw4deZY6S5SyjuLAIt9+TgAquuzIu3Q6JIkX4Sop2j9+cUM3UzUitI6dOpzcVKhwSCs\/2wKzdO2S97SiD3FePJ3ABQEUzHsq0tDipNQlJWpR3K6iyrn78YrZtYyBQRumVCMgDuCsD+mFHLyrqnmPzTatMCVHlKFbBb7c470vw4V2rL6szrOn1Uu6j+pxmX1FUgVk5eWjAl10fKmi5rhpoxALVIjCctKbfgMlXm+uK3LOtFZXVAY+Vi00bhDkg2sfQ2HOLrJmleU8lQh\/GmUb08qCrXJx+1qrZdDgZpkZCVbuLDsMO7e+fW42422Ph+hqNv8AV7ctrbZJUD1qizq7qdnOe0ml1FEZsD8RTDNu\/pc4rWPD1mSrNCTX63LfUsFW1b5tb6A2w8cl0h2odNC3ENIctuWbAAWwwmKLliCFiXWm3yhN1NtecgYxv33rp9S1YKuiRQ1nf3JYCGE4T1Jj61kymaRUqkzmkKgl1O6yilF7i+GzByRlZildJ6hHcUkklOGG\/n\/T6msuqptAemlrhThbskHAJU\/EjlCJIWxW006kxiBsU44kkj7Xx+Z8VQS1BCT1JgY7np+CsbhF9la1yrskEmlvWcv5YoUlTkmn7EqVcDbfHei5qy5GcSwxSkWPF9oAwrdctc8q1Ke6um5viSEIG5tqOnduv8xjPFX1tzIt8N0txQQ2fIoXFxja8v1tskKEQY57dR1jFb2nstfXw\/rEpmvRihVOkLbW5Lp8ZtBsEC4uf+vfAXrNGqNNQ3UqNlaE6jZc7HxuAte5B9MYDk6raky+TmSW0n2S4RiumZpzlWVBNTzLU5BKdm1UhVre3fthC3qTqUrBTJPBkiPl1+dUDHsS2NodcMDkcz2z0ptZ111kpSuChiGwsGyinzEH24wt1apT3n0r+JfWpKtw2nbgakQEsuJS6UKKhye9sfAp4aN\/fsffAq7+7CtwVxVJaaDYWiNiECmTn7xAZy1CpNIiVNphaqOksJUsXuj+U\/X0xR1nUit1mgR6GxRqPAQmxdlR43+suqHu4SSAfYWwNxo6VXbt+YW+pxLiRk2cZ9bcfXDNOp3V6qXFyVjacDp08p8u5r1nSbCxQlDDQSlBJAHAnn7moFNZ2zG5EwqcG8dQE8lN+f2xZ1DL4hVWRARZbQsthV+Cki4\/Y4\/nI+4IeSbbhY8eoxZFb77MeSrzLjpDX1SO2B220Nr8NQkDPqDz9jNaurXvCknBBB\/iuVNpzb6eltsoC4HPPv8AtiUI7tPlMzmkJ3JI7i4uMWNOZAlEix6iLpPtfvjrUmnEMeZr\/auk\/IAdhh02wWbXeD8STII6QcH86UE5cAq2nr96iUxTy6qH0AJW8o7gkWTY9x9LXxIYZYWFxHHNiQvc2o8j747U5gR4r0y1ifw2z8z3w32dE6CvSGNqWnMjZf6oS7DPBKQbED54N07S375BKIKjJM9d3Ax3iewxmkGqa1a6apHvBI3qCEwCfi6cUk6lGdpimqg5H3paPmseFIPex\/fFuhdIWhK0yHwFAEDZfFzNi05911OXip6GtNlRX\/zdubYB3aTUGnVtoYfSlCikDaeAMA3LarFUJAUPSfocSPyKIYeFynJ2kecfUd66ZiyPWqRRpEqrwHo\/SSkp3pKTY4Xq0JUbNJvb29caF181z\/7Vm5LjNLZhR0toaQhsWuB74z2sqSkj09MYe2DNjbXaG7CCnYJzuzmciJp37Ov391aB3UW\/DcPKZmPnXDpOKuraRb9sRuq8xKaeQpW5KgRftiUSq3c2OIMpSuskXNrjEatewJKeRVCkTWhs3625qzfp\/QMrVGZui05BQE2ABsLD9Bhd1uS49FZWp0qV0rfbERo9Snxhv\/KMdpALkZoBHFiLkYqtRv39RC1PKk7E\/uCfqSSaTWOn22mt+FaoCU7lGB3Mk0KP\/mCfS\/GCSj1eoxHG0QH1MrQAR01EW\/fFHLabSuzZJV6+2JrTRZSw4HNm9IJUMTlugpJIPEcevemiyFJFU2YJM1ytznVPq6klX4xBtvub2P3AOOUaC\/w64sEJAIF74\/qyu9UWpw3Bsfrj5bkIUSACke4PbAaoCyT3rYE7RRXkmprg5rpchx0JQXwgi1+FAp9frgizxChJp7rLB2OoeKio9+T7YXVOnfC1WHJSpW5h9tYVe1rKBwwMx1KjmPUlBl1TriStClm\/PfDBm43W5aUevHqP8Ch1oIcCkj8\/DQvRkJjvNyWXypbZsk25BxvDwVa2CmNTaTU5TyLOJtt9Rb2x57Rp7gebLQ2i\/YYZ2nmaahlyppkQZFnl2ChfgjBOmvwsYx1rK7Z8VspPNen2ok7KlZqsartMuOKdbKXFvPHve44H1OBl+BGDrciC5EjqaG6yGwP3NzjPtEzpnzMMdpuOpttKgPNt3q\/fBAumZtdv\/Ep8tzcmwKV7U\/oLY+m6aLbwvDu1QnkHPPP1qUuEqaVuQc8Uxcwaj0GmNFipz2kE8Hc7e\/2wITdaqCwCimR3JB7gNNk\/vgba05iSnErkBS1g3JXycFNNyDS4qEq+GG4C2Fd0hy5dUpxcgDFaIvLa3QAeaoJerubZybUeiKbHopw\/2GIsKr6nVeTeRUFx2ldw0mx\/e+GPHoFNjhN20ADvxic2KYybICPL7YVotHfFCkKr8vWWAgpSmaDVZOnVVhIq86Q+Ui6Qtwn9sfEDSan9ZTzjKTc7uRg\/qVZo1LiokqeTY2HGBural0aGwFsKC79yPTB18ld6rc8P0x\/3Sxq\/uXPhtkHNd6fkmixXUhcdG0Hk2ww4VHyTToiHXkthduBYcHGdK3rlR4wXsntpUm\/G+5wuqh4oY0d8sb3Hu\/btgK905THhpWPgV\/uGRNZXGl6leZB+VbSazDk+LKS2GGrEgA2vhirmUWBQWaiwlkJeBt2HNseYlQ8T1QcQv4eKvehV03xSZp8UGquZorVNRWVw4jJG1LR5wA5ZtKO1JoWz9kLpbpU9geea0\/rDqnTmKvNCJbJDKykef1wga3r2iHMHRltDnnYb2wjqpJrFUecenTpDynjuJUo8m+ICKWtQtsUT7nHF44\/ZLCEGBH3B\/kVU6d7L2tuja5CvlWrGfFtRaYxHbYTUZ69nnA8qb4nveLnPEuC7\/CKVGgoWjaFqJWoD78YyjFSmE6286keRQNvcYfmYNQMgZ0ypS6PlPLJhTYzSUyXAkeZYHJ\/bFJ7Oam2xbr3LBV0BAM+Xp\/NB6xpduy6ylNsVpJMkHCfMiczxR3l\/xYZwp+SaxldVPizlVBtaQ+SUqQVJse3fGSa38TKcCpMl5bm5W8LWTzf0vh70fJsdlLM3qFQWPMDb\/oYVOpuXJdMzGv4QFTT3IsOBhf7U3T+8MOJSIz8MRkDqJ6CutAasGL502yYU5knOSMdePlQclluOUrWAr1+uOzy4L84oiLJbsFdu3GPh6lylEdZ1KAPc2xHjQ3WpyVx7uJHCj6YiytZVEYqzIByDVjtSTYi\/zxbIgJeobstpSurHXZX\/AITiCI6jyE4mwnXGuozu8jydqhjZKju2f8sVg6lRA2HINQGYq3klQN7d8Sw2Fx0pUgXSbXx0ab2KABt6HHZllSFqQD+cY1t0BcJHXB9eleLMVDQ2kEEHlJ4GJjcY\/GtrRwF+Y\/LHNTZCyj1BtixgIUUcgEoNj9MGae2lTnhL6EH5j\/FDPrIG4V0bTAMV5CyoOhd2wBjrHQGYTiljlw7Ug47N0J5KEPjllZsD646TGd8pqCwbhFkg\/PDJxl5A3voggbRA5kmD54n7UAXU8JPmflXSLuahNyFjbtcsk+49f74LkU6NUqHKilKQ8lIkMKtzf1H\/AF74HfhRImsU5IuhkAq\/vgkiJWFHaSkK\/ZAGG9q3KFNHiAPmBk\/tSHUXCtKSkwZkUO0xky4z0FX5wOq3f0I9MW9TqtRXRKfDbkLENtBR09xsF+txisYfRGqnxTQuhLh+6b4J3KWFLlUvYB10fEsX9D6jHVqtaWyG1EHiR25H8ihbsoQ4lTgxznp0P7z9apXIgTAZq0QlJSvavb3ScXbWYqeWkF5hsubRv8o\/N64jZZSl5UmhyuEyUnbf+VY\/6\/bFW5TpjLimltK3IUUnj1GNG1LbG5HXn1rEpQ8stOdMj0P4aWspG6Evz2+RxQONk8djfucET4BYII4vimWkFSrjtj5xcncEx2r6M2YJqvKTY8duO2K+aja6j54uTwo2xV1IDqp+uAlp+Gi0HNFbDpcp7G0ABIxIfU70GxuJsLcDEWlDfCaB9sTkf7JXy7YZLuSnB6pFYhqaopKLr3W7nnHVhH4YCbkpHN8fsgDqkWx0jPKKUp2pA7dsCMjeSK6XgAUP1tBcqO5CO6Qbe2I6EKSkgot88XFZUUSkkAX2d7YhNHqhSl24OMnQVOGea0SZArgyj8RJUBYG+DOpFqU28QSoutXuTc3tgVQkWVxgojtoKWUhNvwQTz3wTboJQpI4xWLqoINB8dtSCkkcg8YJ6JOVDnsSFgbSoDFQhKUpIAH5rc4t3UJRBacSPNbvjq3bIJIOBXbmU1tfSeRAkUGNM6iUEpAOGPUamwxHSQApPa9r4ytoTX6pKocqM7IJQ2nygenOG1R69UZMFTbzgUkA8EHH0+3twplIbOSmRP7H\/FfOLmyeDqlqXgHimgqBIcpC65AUl4IG5TaRzYe2KGbnHpU9MhhNlAgKSoWtgOyvnGvUmrqp0aVujOKsWl3KR9OcDPiLzHUqF8K\/S1NsKkKAcCU8KvzjBh9u5SXNsAYPXPcVi3b+DfosriFFWUkdomCKLp+oTrKitchISRcgntgQqOqbdPUp9NSCk87kBXP2wiapmCsSYrb7s90qcPIvxinmrWn8TeVEgE3N8OrjS\/dpUVZEHHSe38g1WMWrKRhNOio60wai0tuNIWspuShR74B6lqbVnSRCjnYe6VH0wET2W47bcplO1whNyPW+CDLRS6lTjjaVK2+owI0lC3121xO9ABkdjnr9xxRjbCGkbkDBoYnwKjOnmd0XD113UObYkvZTlq6b7iUoHck4vs0VeVBjJ+GS2knm+3nAhUsw1aSktuSlbb2sOMKrm7abTcWyEmICh2B\/BRiAfhNT10CGwsmVLRYjkA44qFFiizaS4R29cV9NaE59pMlalBXfnB2xl2kQmEPoiBxRTf8AENxhAl5TqvhAH+c12pQSKqZkdxdNbnQqeopFrnb74pTS63KWSWi0lXv5cNRqrSDkuQ022y0lsL29NsC1r2\/phZPS5MhRU88tRv6nHuoNF5pL6jQVhcqdK0H\/AGkioy6AlA\/1uqNp2nkJJUcHuhzdFYzYiDJeK2Vc3Wni+ANCjuKfQjFtlgmNmCK40SFbwL3wjZUGV4xWmpNF60cRMSDWn6pDhic\/DRsaYTfar8oOE\/qtlRbUFFUTPS6gEjaL3I\/vhl5hlO\/wRpfG4tp59e2EnmWpTXG3WHH1KbCuEntiq9+tXtPVbus5AMKBgz594qA9mk3DjodSvg5HegVPRv5Wtx+mP4iSFENt7AftiWFXN7AEewx+ue\/yxGAx1r6aVAc1zaJUmxNyO5x0aQVEKAvbnEOjPLUHt1j5vXF4tCUMBaRzjYo3Mh3tXHWo5Y53e+JSo4QhL5VY+gx8NHc2FHvuGOyzveCVDgEWwzS14banB12\/U0OtUkD1r+TB+IdB4SCL4m0yM1EmpMhJW3249cQ5ylNv3QbWAx\/MSHFLAUb8478Y2194qBwZzQ6wHGdp6iruQ6tbSlNhSUtqJCQeLY\/qUxy7Pd5CBx9cSGtqiUKSCOmDj4grP8OfbsNoJ4w8dUXX0rPYn5jilBADZTV1CorsTL72Y1utqL52pRfzDFlTGDUsuPvMAh9tOw\/TAa3LkdMRuqrpbvyX4waZXkuMtpjNhIQ7fcLd+Mb2z6FqCECBtg+vU0p1BhbTRWoyd0jpjtQ7Rn2IFUjTJUXrtMuhTjR\/mA7jBXmrNsCu5tZrVJp5hR0pS30\/S1rHjA5VW22qrJbQgbd\/9sQ+soHgDjHdvKU7RxNfnLRq5cTcKBnaRz0POOKIqzEXTas1UYvCXSHUn0v6jBi25TpDaXy2i7iQvt784GXXFScrNOPAKU0oBJ+9sUYlPpAAcIA4GKRu1aSPWki7RV4gJmCgkT3r\/9k=\" width=\"300px\" alt=\"technology\"\/><\/p>\n<p><p>But even with stringing 0s and 1s together, <a href=\"https:\/\/www.beaxy.com\/blog\/quantum-computing-and-cryptocurrencies\/\">can quantum computers mine bitcoin<\/a> computers are still limited in their processing capabilities and can run only one computation at a time. Quantum computers are special machines that can perform certain calculations significantly faster than everyday computers \u2013 known as \u201cclassical computers\u201d \u2013 and represent the next frontier in computation technology. Given the parallel development in quantum resistance, it could well be that threat posed by quantum computing ends up being as overblown as the threat from the Y2K bug. Many predicted January 1st, 2000 would trigger an end of days computer catastrophe; it ended up being a trivial inconvenience.<\/p>\n<\/p>\n<div itemScope itemProp=\"mainEntity\" itemType=\"https:\/\/schema.org\/Question\">\n<div itemProp=\"name\">\n<h2>How long would it take a quantum computer to crack 2048 bit encryption?<\/h2>\n<\/div>\n<div itemScope itemProp=\"acceptedAnswer\" itemType=\"https:\/\/schema.org\/Answer\">\n<div itemProp=\"text\">\n<p>A perfect Quantum Computer could do this in 10 seconds<\/p>\n<p> A quantum computer with 4099 perfectly stable qubits could break the RSA-2048 encryption in 10 seconds (instead of 300 trillion years &#x2013; wow).<\/br><\/br><\/p>\n<\/div><\/div>\n<\/div>\n<p><p>Miners run a hashing algorithm called Proof of Work competing to find what is described as the golden hash, an arbitrary value that is difficult enough to find to ensure a consistent time to confirm new blocks of transactions. This includes the search for the largest prime numbers and cracking cryptographic algorithms. However, a computer that could actually crack RSA would require many millions or even billions of qubits. Only tens of thousands would be used for real computation, while the rest would be used for error correction.<\/p>\n<\/p>\n<p><h2>How many computers do you need to hack Bitcoin?<\/h2>\n<\/p>\n<p><p>This is because a blockchain\u2019s integrity is based on unbreakable codes, so a successful attack would render it essentially worthless. A far more lucrative strategy would be to hack the Federal Reserve or large commercial banks instead. There is a lot of variation in the workings of different cryptocurrencies, but the cryptography behind many coins \u2013 including bitcoin \u2013 is based on the SHA-256 algorithm designed by the US National Security Agency. So the network raises the difficulty of slowing down block production. With today&#8217;s difficulty rate but much more advanced systems, it may take a solo miner about 10 minutes to mine one bitcoin.<\/p>\n<\/p>\n<ul>\n<li>While mining bitcoin on an individual computer is no longer viable, there are other cryptocurrencies that you can still mine at home if you&#8217;re prepared to put in the effort.<\/li>\n<li>The process is not too complicated and, as such, traditional computers can do the same at present.<\/li>\n<li>Quantum error correction is the process of compensating for the decoherence\u2014quick disappearance due to environmental noise\u2014 of quantum states.<\/li>\n<\/ul>\n<p><p>As part of their compensation, certain CoinDesk employees, including editorial employees, may receive exposure to DCG equity in the form of stock appreciation rights, which vest over a multi-year period. CoinDesk journalists are not allowed to purchase stock outright in DCG. ECDSA is the cryptographic system used to generate mathematically linked public-private keys \u2013 the digital tools needed to send and receive cryptocurrency as well as prove who owns the assets held within a crypto wallet. Not to mention, earning a vast majority of the remaining block rewards. Remember, all you need to spend bitcoin is a valid pair of 256-bit keys, so a quantum attack would simply try to break the ECDSA algorithm by computing the Private Key from a known Public Key.<\/p>\n<\/p>\n<p><h2>What is Quantum Computing?<\/h2>\n<\/p>\n<p><p>You can put your coins in a wallet and forget the passwords, for example, or have your crypto stolen \u2014 you could even send them to the wrong crypto address. Zhou P., Lv L., He L. Effect of noise on remote preparation of an arbitrary single-qubit state. Zheng B., Zhu L., Shen M., Du X., Guizani M. Identifying the vulnerabilities of Bitcoin anonymous mechanism based on address clustering. An open problem is the depth of the circuit necessary in the algorithm. Here, the evaluation is unclear, as the depth of the U\u03c9 transformation and the SHA-256 circuit is not easy to evaluate. The state after this step, the resulting state of the system, is S4.<\/p>\n<\/p>\n<div itemScope itemProp=\"mainEntity\" itemType=\"https:\/\/schema.org\/Question\">\n<div itemProp=\"name\">\n<h2>Can quantum computers crack passwords?<\/h2>\n<\/div>\n<div itemScope itemProp=\"acceptedAnswer\" itemType=\"https:\/\/schema.org\/Answer\">\n<div itemProp=\"text\">\n<p>Yeah, quantum computers are likely to be able to crack passwords from every angle. Many of us have heard how when quantum computers become &#x201c;sufficiently capable&#x201d;, most of today&apos;s encryption systems relying on traditional asymmetric encryption (e.g., RSA, Diffie-Hellman, ECC, etc.) will become compromised.<\/p>\n<\/div><\/div>\n<\/div>\n<p><p>Even if a quantum computer mined merely 2016 blocks, in theory this would raise the difficulty so high that regular mining equipment would take an impossibly long time to create another 2016 blocks and reduce difficulty. While this might be true, it is highly unlikely that Google will use a fragile device still operating in laboratory conditions. Still, the power of quantum computing is so fast, that it can outcompete all current miners with an astronomically faster rate. Yet, even with a large enough quantum computer, you would still have to reveal or find somebody\u2019s public keys so they could be subject to attack.<\/p>\n<\/p>\n<p><h2>Why Do Bitcoin Balances on Exchange Matter in the Crypto Markets?<\/h2>\n<\/p>\n<p><p>Ideas around how to create <a href=\"https:\/\/www.beaxy.com\/blog\/quantum-computing-and-cryptocurrencies\/\">can quantum computers mine bitcoin<\/a> cryptographically-secure blockchain tech has been around since at least 2019. How this upgrade would be introduced is subject to debate, but one method would be through a soft fork upgrade. This results in the creation of a new address type which users would send their bitcoins to in order to achieve quantum security. Users who don\u2019t send their coins to the new, quantum-resistant wallet type would leave their funds vulnerable to theft. In more technical terms, this means that you would always send your UTXO change to a new address instead of sending it back to the same address. This is considered best practice already, even without considering quantum computers.<\/p>\n<\/p>\n<p><p>Quantum computers aren\u2019t smarter than existing binary-based computers, but they are much faster. \u2018Quantum Supremacy\u2019 makes challenges that because of time constraints are simply unfeasible for existing chip-based computers suddenly within reach. Bitcoin is protected with an asymmetric algorithm but with a different approach called ECDSA &#8211; Elliptic Curve Digital Signature Algorithm &#8211; which is as secure as RSA but not as computationally demanding. In an adversarial world protecting information is critical to security, which is why governments invest heavily in information intelligence.<\/p>\n<\/p>\n<p><h2>Associated Data<\/h2>\n<\/p>\n<p><p>Today\u2019s top-performing ASICs produce roughly 100 TH\/s of hashrate, over 7x as much as the Antminer S9\u2019s hashrate. Meanwhile, Bitcoin\u2019s total network XRP hashrate has climbed from 20 EH\/s in 2018 to 150 EH\/s at the time of writing. The catch is that using the Grover algorithm requires a lot of processing power.<\/p>\n<\/p>\n<ul>\n<li>Let us examine a bit more carefully which parts of the Blockchain data structure are affected by the change in nonces\u2019 values.<\/li>\n<li>Only tens of thousands would be used for real computation, while the rest would be used for error correction.<\/li>\n<li>The extra nonce is now prepared in a superposition of all possible values.<\/li>\n<li>\u201cThe algorithmic speed-up is unlikely to make up for the considerably slower clock cycle times relative to state of the art classical computing for the foreseeable future,\u201d according to the paper.<\/li>\n<\/ul>\n<p><p>These powerful computers use quantum physics to solve complex problems that are beyond the reach of traditional devices by using qubits\u2014an evolution of the classic binary bit. Qubits are able to represent the value 1 or 0 at the same time, which promises to deliver an exponential increase of computing power. To understand how quantum computers work, you first need to understand that classical computers \u2013 like GAL <a href=\"https:\/\/www.beaxy.com\/\">https:\/\/www.beaxy.com\/<\/a> the one you have at home or use for work \u2013 represent all bits of data as being one of two states, either a 0 or a 1. At this stage, there are just too many unknowns to make bold predictions about quantum computers slaying Bitcoin.<\/p>\n<\/p>\n<p><p>RSA-Cryptography utilizes algorithms, codes and keys to securely encrypt private data without interference from third parties or malicious actors such as hackers. An example of the methodology in crypto is the creation of a new wallet that generates a public address and private key. Just about everything on the internet and every computer system with a modicum of security uses the same cryptographic principles. To that end, quantum computers put anything using today&#8217;s encryption methods at risk.<\/p>\n<\/p>\n<p><p>Implementing an encryption upgrade for a blockchain system seems to be the biggest headache for cryptographers. In a typical blockchain like Bitcoin, every node will have to be convinced to switch to a new encryption method. Governance protocols like the Internet Computer could automatically update their system through user voting. \u201cOur own calculations based on current ASIC technology, as well as that of other authors , put the earliest likely date that this type of attack will be possible at 2028.<\/p>\n<\/p>\n<p><p>There is no immediate threat for the Bitcoin network, yet core developers should consider upgrading the encryption code to make it quantum-resistant by the end of this decade. Instead of computing the hash values at each node for every nonce input sequentially, we again rely on quantum parallelism. With a single application of a quantum circuit, we compute in parallel all the hash values for all possible nonce inputs at a given node. The number of such stages is proportional to the number of nodes in the leftmost path. We treat each state as equally likely and consider a superposition of all the states.<\/p>\n<\/p>\n<div style='border: grey dashed 1px;padding: 13px;'>\n<h3>Where Bitcoin&#8217;s Critics Are Wrong (BTC-USD) &#8211; Seeking Alpha<\/h3>\n<p>Where Bitcoin&#8217;s Critics Are Wrong (BTC-USD).<\/p>\n<p>Posted: Tue, 06 Dec 2022 08:00:00 GMT [<a href='https:\/\/news.google.com\/rss\/articles\/CBMiSGh0dHBzOi8vc2Vla2luZ2FscGhhLmNvbS9hcnRpY2xlLzQ1NjI3ODgtd2hlcmUtYml0Y29pbi1jcml0aWNzLWFyZS13cm9uZ9IBAA?oc=5' rel=\"nofollow\">source<\/a>]<\/p>\n<\/div>\n<p><p>However, it\u2019s a known possibility that it could theoretically be broken in the distant future. In other words, a quantum computer could derive a wallet\u2019s private key from a public key, rendering the signature scheme insecure and making bitcoin wallets vulnerable to theft. Quantum computers do in fact pose a potential threat to Bitcoin\u2019s security in the distant future, but there are engineering solutions that can keep Bitcoin secure long-term. In this blogpost, we&#8217;ll explain the real threat of quantum computers, the prospect of quantum computers pulling off a 51% attack, and how Bitcoin can continue to exist even after significant advancements in quantum computing take place. Today\u2019s most advanced quantum computers still have dozens of noisy physical qubits, and constructing one that could break RSA codes from such components would require millions, if not billions, of qubits.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' 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