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tLcczNlYnlk99Xq7fi9eVw8rB1LqpWPY49G1nlW6Ulrpm4muV1pzx37m/p5F9nKKqEjZe4ITGp9oGt3uCnrQ6y/dtcz34bpBOikByTE2GF6wcAgBgAAACfiAekSmh9wC3kOyesqLUnI0Sdgw+TcLkcR+V4ZnJ5dmr1ysXZ42/PxclZo2VwoDPXl+obGEx/+n8qNOQpqdSKVSEXrk67qTPx+pJvl8tX3+WVKUoqYWlWxdXEWWe8FcqoOM7TAlldOj/tn38pclwygfLCkjNeU1dh68GSbvCbev3efeSFJp1X2TYvCI1y4kQpTSLM5EgljjRbxY5FU72OAat7/VigDWgD2oAYAAAAn7wHqkooE2lVn4Rj7hQ3TmeCdCYotGZ37O92dlgS79bU3Ppq9eqlibG3p49+/4qX0/l2Gtk23NoZdnQ2F3q388AeZyuWJUOBY0NxVJo4V1pbSdnV6rW35MYpsjUqTkfLE0abxARGasYVubLeRkltdroye9yQKKZq4shqUyi4xi1O52zbcLDr83HQEARBvncrBSlWmkRiIRZ2SolQeL8cC7QBbXiQ24AYAAAAcBdxQqKMCrhjoKmbzdY9A4nIzNStpam1U4cvnzl8bXG+3NicCTJq276Bju50S0dDKkNky1pJemiXOLZM2f2/7SlfR+XK/ER5dS6OYzr9ncrc9SApSWm5tjZjqEYkQhw7SkyatbXl9aR40teab7wRHftzIra+N9u6g4JMEmazQ5+2HSOJ7ze2D6cK7USYRwTwIEIMAAAA+E1RrOqDbK0CItKGNPHAQFdfX8foE9vX19dnx+dXF+2Z49dOv3X9jZVapkl3DzRs393f3JFtbg4dkWYT1t+s/Xy6Z3emVxER7f8dIhIXFeduFOenvNpifOX12swljqp+eSJZn3POMpPvSIQSiR27qFZ2kyeVYkOudv5viShl/JXC8Fy2XSnKdm21Wz6TpNr8wA8L7WFDUyzCxog4n5RiqmcMn62QYaVxZAEQAwAAAODXjwdKiUgul8vsYhJv3xO9tXI8M7W4eC25cOra3757PMgXMvlky9bW3qGWpuZstjnHHDFrIv/Ogzg2YdtAprWnQrrhwJeFnLUcz44tzU3mdMWfvzJ97DvEFK7Nq/U5LykbrlQSVl5IQkS0RCl/cSycPxuRtzZ+xH/jz1QSq8BbaNlJYT70U2bgYG3gU2JSfrYx09QSpEJrhTUxkYhgPyIAxAAAAAD49dSH0SLCKutEtKYwp7fsGBjanhz4fP/kjVul5erJY9cunZl7+5UL+YaUzoQ7dw+0dGUGt3b5PjtXU+wxaRJj2UuzZSYR7StJdQznuoZFlGW19dP/lIiKczdrSzMUleLpU9H1Y2Z9xtgir9xMVZZ9zZaMYmVc1ZKpkYljieYuBpxUxfhXfuIn/3NZparppqS5v+S3cJhN7/6C39glrHId/aqpzzF7RIqsCBHrO8nAEnH9OoiQZcLlAwDEAAAAANjY2r/+f13/v/KIiNkoRQPDvSKyfXQoqcZTN+bWlu3Z41fPHrtYXI+y2XRbR25o12Bza9DR3aR9ReSItAgzc73iMBMxU72CABHlO/qpo5+I3N5PK6WsuFpxuXTriqusurW59WsnzewFFdXCaM4vznJczbpSlZQTK8bUwnxQW6fStJRn0ypgZn3pu7FziRC19tRSHS6xfs9uveMLSZAVHRT695hUjpmMJEKcOKeINJMlpZTCBQQAxAAAAAD4JTmBmf20GdzRJcJ7H+mLavHU+Oyt8fLY5cmffO9wYuPGpoae/rahkbaW7ly+kNdaf3DRgPr1ByUuncmGW0aFWTO3PfnHjoyyUWlxan1+mm01WpuhSz+KFyZCrvHqVMmy1lqTaBuLSNUpR0YrLs9PaL7pC6npo/bwn2nPj1Sw3L7DmoznaTvyhXRHf1UFJt8cdm7L+qmNqx9IAgCIAQAAAPABlFIiauMEv07CjDe0q2tol370izsWp2cXZotXL9+amVg+f3IiSPm5BjOypzfX6vf1d+VyaWdFs3ZKSOoXB9jdrjFs2TgyHgkRWWIm0kSkdaZtINM6yOwcKXryT2IiqpXjuWtmeVq7uDxzOR4/XisuN9mZeH6ca2XnmP2gaIVZvIAoFmsjM3mSbJIo5V/8QU1M7LQ0NtQaB6dNa9DYkd96MCls0cb4DR2p5i4XZLRzWkjYkVJWiHlj79V666yQYlZ3LnMAAGIAAADczVAeaLNuqp86Z954v1ZsREQztXa1tXW379g/kETR4vza6lLpxtXFiStrN39wvbm5uWxrwzu62jpSHd1d+UY/lUkJv1ddWNfH/cTMrN9rg2YiYiJSioiZlQgF6aB3d7pnO5Hk9n7OERFxUilVVhdsVDXRmpo4ysuTHJVra8vu+js2iRRZlZSNrSlOWaMVs5RXVOVkIa46E5RO/CWL1VrbdEslLNTI89q7afBxyykizrd22b7HiVmTSwWBTTf6nERCTMpnjecD2oA2EMqHAQDAXQ7lgT6um5QOgvae1vbu9m17e4ls4h5ZXa5cOXtpYab4wvcuuehcY1O2ayizbVd3W3s2bGgKQ49JSBSxFdEid06//8IfpCQRFQiL5xLH2qRyYaqByBE5O3zQsTasWMRRQta61cmli8e4uhpZU7z4o+qNYxmupTmqceCSxHh+7NiS40qJS6vKOpm7qM69rDVFxPOiMza2TpwXlrq2RR07Ek41dG3NDB5YbdhCJF4q56UzMZMR8YXcRm4hInHE9RUSWmLHHtPPXj7AcxJt+Bhumv4fsh/82rjKhR3/x+RvqA2IAQAAAPe/OyuM31sUTB6RZxQ1N2ebnz5ARL/7nMyOL108N3n+1NSF46ed477+XGNzdmhbb3tfQzYXaN8ROyeK2fugKfsqZCJNTMpX7428FZEy72uQJo+Mp5uH258YJqKYpPOzX3OSJGSimWulC68SiV26qc6/UF6aC33jJSVjq4kSIks28ll8Iqt9Y9i6kp06rqeOp5wrqfQKe56rEZHXtU2ah+KgkE/n431fiZv6Yuv8IAgD4wWBE0fMFQ6NS0iRiPLqPQTwMfrHrd/7gFv/9fyzd1VrEQMAAADuN845ImrpzTwzuPfpL26vlJKzp6+X5pN3j506f/Z6LbIjI729Qy3b9/Sm854Xmk0fLgtxQp4i47FQx3C6c4CIxYr+6r9kV0uqleKt64vjZ3NULM1cq11+XZcWrHWh71xtxVfinBARifi24nPNOae1cjPnZfaCUabkXPGN/5tEOSuSTpeGPyOpvNWp/LZHbO/Dhl1sMkG6wfgBYgAAYgAAAHwyI1H4RNRnDrDyrRMmL8x4Bx/bIeQ+9ft7y8XoypmJ06evvPKjo2/95Fxvz0BzW7jz4a58q59KZ5iMsGxcZBChDzsJwZAlYRJHTB4bW696pilKxChfhV6+f1e+b1uiUi1kiRQRC1Ht8hvF+Rkbl4PaQvHMD5cWboW2nOY4qZWdcSqKPVZxUiPxHJOhisdCVUnO/ZUorchU3/5/I1GkXZBpqHVuWy5sY2bVviszcIDzbb6vOFVQvq8VWUsex8Kmfj0lZs8jIXGOlSNlxBFxfU0GnsZw97ww1jcQQwwAAIC7l7W2vkk8zsXeZTQRZXPe/se3jD62NalGZ09euXZl6six0yfPtOVyTS0dNDjc2r+1o9CYESGljYh88Cakv5j6+Z+o9zcm8H/6S+HIk+EIOedEUeMX/mnsyJOoMjUWT52txetUqsSTJ6Prr0ulnNKkXZi4xAkryoZESVxJdMzCSgJXXpFrR3z3JhGpJI48v2SVl86anoeifH/kVEtb29rWZ9ONLZFwJp3JZrKWlFPKWfGUIxKR+u6m/GF/fYBf8IfxEZ5RIuKc28SXVsQAAADYfAsLC3Ecox/uVk7Ekeim7nzLQNPDv71nbnxp/NLUxVNTJ964nmvMDG1tHNjV1N3fTpu9JPFXipHElsR3NWbjnCOvNe57RhmrEtH7/tAoGzu/unardv1EtDrlqNo4cWTs8qmUdZ5Wvu+ldM05xyRMjogiL8UuSVPkqivJ1TfZvp4zupgk4Q/+10gHjr24Y8tUxyFPJ0mqOTd4oNi1T0zasalHAVwNgM01PT39Ub49CIKmpqbNagxiAAAAbDIR2blz5/LyMoZQ9xCllIg0NDSMdB3cvuWR3iN7g3Ds2s1Tt2Yvn7z8zmp1qRaVmYSYnSMikbvs4LIyDcYdaPU7C1Ui7m1MHerg7pyIs1lfFXwVi/ZsZJkSUo5JtOcpdpRUb10wc5edixVR6Y3bUSSRK4v2/KqJxS3WvLMz6upibbGq0jpajFWxJlockTApp3whYqo5ESLNSjtHQqQoIiIneGY9QCb/u/QvvU9PT89H+SPdvn37qVOntNaIAQAAcDey1u7fv//ChQuYUHEPqU82IKKZtbMzJy43Fxr6ukea8ls+/9QffvaxP5xbWL48c+7EmRdKtbVUWiuPrdxdM76UuET4jClcXq8xsazLn49bLU60P5SP97WwR9X2QvOhbq/NdyIS6mpSXCRxShs/qtbMT42rqn5Df6fb2bquxMVsg73OWWWVEeefXZbzi1x2KqrEr96imzMVpYlUkKQ7rBdYSQxZj6LEiWOFP4EHzOIvvUdvb+9HiQGNjY2b2FzEAAAA2GS+7z///PMYAN1bmNlay8yklIiw1DcldbFzl07dKC3Fp4+3PzL6ZCpMbdnaMbJ7INehm1qyRosTUew7IWIi5+pXFT7+ZSEiwkxMjuon4DcKKBOxFaUdaaZE1WdWK01EtdmxlcmrrrwU2vWl8fP2wg+IyFcubUtUXWtKli1RolMR+UkcsbLskWWtk2S0ORltjMkYa+UfijLKF9KUyXm9wy7bxxxwY48dfMIvdGoVeH7apHJe2iciR6RJ2MWR8r2NFhIxWSJDlsUK+/ze74J1NfeemX+S+6X3GR8f/yhnWJTazGyJGAAAAJusvj74F401USX0rm3DnZkGrNTtm5Sv1Z7RLUTu0DMD66vu5tjM+Nj0qz96Z2Wu2NndlGrK9g+3dfbkO3qamIk0i/zsfiYfTz/Uf6iIulM57PZHzUSaWcQQ053JFKmOkVTHiIgwSZONEv2/E5EktWh+Il6aIRdnXXl97Cgv3tQiqrZGK5NqaTJiEVaKDYljTZ4y1ilHzpRXkktvEGnFWok1tlY1qdixzuS8xnaX6lFKqUzO739kNdWXd6tU6Al7RoJcMxGJsBNN4hRXLWmtzPvHefi7uKfb8HPv+aEfzRiDKsIAAHBXQ6XS+7ENSpzON/i7DvbueniQrFSKlfNnJqduzBx79eTKkphA7R3t27KndXBr3535RXd/PzA7Eut0WK+mzJq89kHp2m5dkjib3fuFUAVEFNk4iSJbq4rRXFysTp2v3DxTLpfT8bI3ecSbv2RvP6BzzjGTCZlcqITKC1KaV3yZiBKm5Oj/18h6xdOauchBzRpWKmjtDkeeWQvagiCTau/XHTvzrT13kgCek/d0Gz7O10nEAAAAAPiN0L5HREwbm3xmGrMPf2r7w7S9Wq3Ozc2dfvPG+NWl429PWPf6yI6Orh2te/dtDUOjtCaOrGWtjThSSt9lM1408fuWWyqPyGMipTxPeXe+HOggSAWUyhERZZvyHVvpwJfqg/5qtRoliVHs1maqVw+Xpi5ribg46117OVlfVmw8FxeN1Tb2iUmZIivfOmudbxKPrbNEs6vlmXOh1uwk0bqkw0VSzrlUtpm69qne/ZGYVCrl943mu4fiIO0ppUkJMTE7SaxLNPvMpJhJqOZiTxnemBpFzB6euh8blWv74DrBKtd2VzUYMQAAAAA+JOdcEAS9vb29f9RpY7WyUHr3yMXZaXfk2xff/talpvZc356GfftHmjqaxTnnEmZ1n816T6VSgZBSzJkw2zHUrJSIuKRWqVVFxCNZW5gtTLw1PzWeGE/NXcpNvZ2UlphV4khxEEpUYxewVUktUSnnXGBXQrHEXFmzqeW/4dPfFtZkTNGEy6RcIpY8r3dvZuiQeBlhZVp68tufNPkWay0p5ZiZnO2f7r8AACAASURBVDjL2ogIVhh8nDr+5bV7q8GIAQAAAPAh3RnTCxs20tyZ/9yXD1pXs6WHL164fuXC5Mk3p4++cjPTprfvGOgbbBne2Rs58fXGHJyNVbxC92g0qC9I0ExCZNlTlJA4YaWN32CMCJFIpj8bDe7KC2lyzsZJUqlGxMyyOrt+4c2l+YlQVfTy5Wj8qKquWScx+ZrFYzHJCqkgEkVKEmt9KRFJQpxmz594LbnxhmWjxDq2t1Q60ak4sUEQBFsfsR17yzqbyTUUOvuyg48SM7EiVkRCpITIiWhmcpZIiBWRc7wxIGSRO3PXiUjeW2IB9yHEAAAAAPioMYCJqD62J2V0yuRp3yPD+x7eEpWj2aniiSOXzrxz/d1Xx1Phqe0HmrxU6uFH9mUaYqGA2THresnee/rX10TEhutVkVkRvZdt/NsdpEzgm8APiYgo15DvGSGiiIiSiq2sWsfiXLJwszx9ZfHWuImKmXg+WLwYz16NknVHKiOaYoo4soqdskSxEImoMCnapBwQUZnkzN+oM3/TyFKxejHTPFurMrP4WW7bHnRuj/LdygtyTe1h5/agY1C0ERIr7LkqEQmJKJNY7StHRM6RVpqwaRFiAAAAAMCvR4lOu55tDd1bHq5VHo5r8dG3Ts5ec5NTE++8fLm1Pbvv4I4Dj26xymnz4A5IfFcRZpVp8YiIhBtaGreMdjsrHBDHSRLXarEyThfjlZtH1ieOm5oTEX/pTHzzuFRKSvsZKZETInWnYJ8V8ShxxdnAKLGi4xX/+s3oxmvCJk7imm+qLGuUtYnLFtqy7QPr/c8QEQXppi2jYe9Oxx4RaYpVEludU0ohCSAGAAAAAPwaOUCplBApY1M5DnLm6WcfkySOS3Lx3I2rV6fffOnUj757bMf+/r4dzTv2DQZKO6uUZiuOmfWDcRraqpQQ6Z+efiPKE1dVKjS+r31yRCYst7c+2z76+/X7OUdxtcw2duTWFm6VL/yI16attR477+bheOac9kSsK6qs58qGqUSeEufbWsDWWomVysmKRzZaWVlcuZq/+IIIG01lHcxJoBwZY0xjt+t5mArdyoTOy+cG9wT9D3m+r1zEzAmb+gFyzhITiX3fPqfM4oTrRSWUEJv6imWECcQAAAAAeEDwxthPE5GqzxvyfJOnvYe27n9spLJaOXt67Ma5lZ/8h5Mv/OU72w9sGxxu2L1/0HjauTLp7IPQRfoX9ZsK73SgIiJOv38krRQF6TQRiUhLpqGxf5soFiFDLqlVa1HESiW1KD32wtrsZLm0lpZasHiZpk9X15dYmGMbaGcT52lqULZKoc9JZC1JLUU1EqMSpeYv0q3zNfY9Gyk/WCFPKRKidfbC1q5CR/9a4yEi8j3K9u3yhg74qQZiYkdMHLMyLiJmssKsiH1kAMQAAAB4AEZ+KFGENnzgTUJUH1CGDeGhT+0ZfTKKynLzyszkzZmTR66/9LenOzsbt4z09m3vaG7PePX5KcQiG0uJ+fbu6T8za/2BPRZKKRYr4kjEKuUHoe+FpBSlnDv0xwUiYiYhcS5xknaiKYrmr0fLt2rzs8ZF2hVTk+/Gy1NMTiVVuz6n1heJhMR5HBOTeCK2FBBpS055xmmauBBPnEur7xGxE1fSXsJeQkprrVIZ1Tyo8sM1LySibEtH0L3dS7dYUiZI++msauwT7dVXh2+sEL/zGwkLE5HcubU+yUnVbyKR9624uLPzLP42EQMAAOBugRJFaMMH36TU7REgMREZ7ZscbR8d2PpQpzg9MzG3MLF64ezE0Z+cUaEe2N67ZVdHb39LmPHFWSJH7P2XGeCBPRa3h8K6PnDe6Nr6JQb9vpIITKSV2fjcD3r2UM+e5p9+KCGnkmp5aWptZY1ERCyvT2QnD0ezN6x1ysXJ8kS8eJOJtCLlkqrJiE20Ns5aRUlAMVnieJ1WZ4je8FgRUY11hT3nREkiQUbSzRFlrPaJJezenh5+TBW6iIiUZxra0+2DEmRIRBMZYefIcqzYOVGRUiFXSXyi4GdCIP42EQMAAADg3qY5EO26+1p6+tt3HdoyM7Vw9ezcxLWFU8fPNTUV2jobd+3rHxzu5MBpfbeVIbvnMTMLJSbj2kaa2hwzkzhyh5KDXwmZFZE4V1tdqC1NJEnsMdVWF5rmD5dnrie1mpfUqLTICxeq1Vi8IFEmbdc3HtdZJYlm1uQkWpV4nTmjXRSLhPPHM6f+siyGiFh7caowm8onKkVCXOjmoSdTnYOeUSzGCwteYx81dJB2RBUmsuxrrZ1z71uQAIgBAAAAcA8PRhVrQ6S8QHdvaeve0uKqdvrG8uUL8zM35v/6z1/PZAp793QP7uroGW4jxSJMmomJhLCdzUfJAETkSBumrNiNmgFMpMjbKOvApMhrbM40tUt9rQJZS89mxDIrEldZXVxbXtBJEkgttT4ezV0tTpwmIuUib23GLd6IayVHTpxoWwkoTmlTiXlF+wn7vnJJYl15VRXXPamKSDB/zlz6QY0oIhZlvCAbZ/JFv0WsEhU09W312rYFzd2RCnSYMfm2dNugMxnHYsg5YiuslFJETJZESJhuTx/i+mwnIiISUczE4hQ/oFkCMQAAAADuktFo/cPGpvumPkoJqH8k1b+1KypXZ6bmx6/MXDk7887x82Equ//A1o7e1MBIj/aIFYkYXB/4KDZyFOv/4oi893V+72ta37kz61ShLVVoIyJHZOlgaGsNLERkRVWrUW1lXpXW2Tki8safX701bctrOZ9q68vByrXy8lygSTurXTUyvk1smXzSaY8SRZGItbVVVVvN0wQlidN+afZEzpaKfjZKEp9rJte6pgqx9hOTLrugsbOncedjlG60rGtezs8UgpYBk8oRkxaTsHYsWiwR6SQS5QvrB3b5MmIAAAAA3P1D1JoKqH9rT++Wrn1Prs9dX7t2duLSyevvvkI6f2LPvoHerU19wz1EZAzGNp9wlFMixP7GQJNdLh1kMoNxfREzUbB9f8HVHCkiSsrr1eKaKi4ncdVjy0tT/sXvx3GsyfnlJVqdjdembFJ5b9jq++SsTyWrfImrvmIr2q0tWFpncYEkDVqixWDh1F8zOyXOM6qS61g0TZY8Vuy8bL57JOzdzg2dRGRTTV6h3S906rABMQAAAADgrhtXMhFR4HlERFrpxkKhcX9h676elZWVW7duXTu+MnZu+dgb07nGU6OPbOkcau7sbCdNlmKtNYtixvTxjzUGaFbvO7+u6v8FbN77ogrqh8TPNvnZpjwNvPf9jz9HRCQ2qa6vrxft2pJNIiLKrY27qdPVhRtElojM2hQtTSbr88yOSKWcVMmRMbGtMVU8bYSUCItjWZ0LaN4xEZGS2E6/Vjp6uxVeqpxqrvmNNWuISPkm1bc3NfJ06HlEJIGXah3UTUPCxMzExMSWEiuKiEjEsCKlnSRaiInFOWLHyld8z4yuEQMAAADg3qOUamxsLBQK20eS1aXSwlTx0jszb/3wcsx+Jp+MPjLSv629raNBlLs9JxzuGULMXqbQnM23dm9sESr79MHfJ3L1DUbXVtdrpTWqFB0JEXmL19WNN93KdFUHzklYmtArN6uri7VE0hzHrJWNPRvHnv9Tg+DqKteKWs1kSBGRZyN360j87r8vOlsPnLape5HyiQtZKZPKhFv26d7dKS9NRNakqLGnoblL+aFjdkKkPU2JuqcmGCEGAAAAwD04UhRhZmZ2pBvbGgptmYG9LbNzQ4tXp8cuLrz+0oU3XrqYzQWjh7Z3DxY6BwvEIqKYlbuzYhTuVsxKGUVEWmx9Qa8IxeSp26PsbIPJFJqISNdLC2zZFx36PWLXKkTiqlFUW19xa0tCStXW88uX7fxYeXHKuFjZWrI+K4vjcWk19ho9SrRLxEUe2arJxs56NlIsSqy1YfXWRECU96rWWiFF15/3OBblx45UEEiQnlZNVZNzrLXWDd3Dqmd/urVnY711plUVuv2mbq3rg21nSdPtrVzd7WXWtPGpqi/EVhspqP5r2jv76grx7ZXZiAEAAADwoI8Uby8oVvWlq76nqacz1dme2/3Y7pnJ2fkbq2OXZ95++d3kJdvY0bT/sR0DQy25Rp+VE7EiQT1FoCfv0uO78UHXR87M5L3/ZuX9zL198u98W5hKh6kCtQ3cToxPikiOyDHrqFheWyqVq360WnGe76qyfC25+W5l9VYocUbiytKtZG3KVdZSEnvGxaxjUqSU9gJndeSciUtO6yghm5TJrafrE4aI4rmTdOLbNd4oh+b5noSFst9StJqIONfW1DuS7d0mYYGIrArC5v6gpZ+CNBFpipVYK2JNQETiSIkVGzkvTURMoutV835euQzEAAAAuLvGZ6ieizZ8Um3QHDiyXb3N3T1tex4dXlxeWZ2vTF5ZfPUHR95UaT80I7u6+gabs61+oVDQWiulcCzu7za8l/eExM+GLemQhETyQloRuQPqsT8SkYREnPXL664a2Vq5xqSj9VTxJt+6XK3UHJHvquXZ65Xl6craMrvYcJKVikqq1ibW2p/56dWa9ZO5lJ0OhYmIl4hu/qjoRN8u91b00ytersYBETlWfqE9aO33WweJSJh1vs009Vcat1K9ZBjrdCbth1njBZuYBBADAABgk6F6LtrwSbaBSd0+hWw0tbe3tLfTyO7eZ7700K3phamxucOvnDn2eirQumewcXhPR9tAvqmpQFrXx4nv30Iex+I+a4OqV1quT8zhjfk5G58x+USkPMqHlH//N43SXsrc/uTOjkJOiMhGqzO0MllZnGVXU0x2cao4e2Vt6qKprJYdFVTkJeW4smJsVTM765TnV63yKWIlNq5QXA4dEylhovWbycRRZy0TOyXCP5UrxMtEjb3pxu61wtbO5/4X3+QQAwAAAAB+JczU3lloa88ffGr7ramFyWuTb756/uKVuWw2Pzhc2LqnuW+gzU8ZwrZC8KtSYUOHy7d6/Zw4JVqxuCypHhGWpMpaxVU3d50Wr0lScSQksnLzsrp5fGXhFkniSeRLmVRRymtKPBLtRKLQeElZudvpZCOnOFVbsrPrK7fGXHha/d5/Tw2IAQAAAAC/KtFaSBkh1dbd2tHdNvrEaHF19ezxscNvXLh4Ouzsbtz10FBzX7qtq8loTeKE3O3NH7GEAH46ATAJsSXDxCRkFOkkIqWIFbFyFITkyM+4nt3SvUcTWXbMKjwoLKxIYsVaEl6fT2av2/ISJSVyibN29cKR4uyNWnEhMraxbFNmxRRvVbQRlQ6FcxKvk7Kp9s0aviMGAAAAwP2PmYm8ehWC+gwgramhpeGR39q3/8kdExfmz5+59uPvv+VROLSje9v+3uaObKEpQ3xnYgmSAPz0M2pj8fLtIsRGvz8k3CmYUL9V17f52VhOzB4RsaF8p5fvrC92FhHnXPOBv9uhjZBEFC8vTEVvvLz43f/o+ZlattX/nUOVqNKQy1nxNutXQAwAAACAB5fWOgzDkf0dI/v71pbKY6cn3n3z/NXLM+l8MDjSvvvQcHtnTsQxa/QV/EZjqtY60aFEbnXiRvWHry2eOSO0Rnv/IPuFQ/3Du7TxEg6MsNq8aWuIAQAAAPBAD7+YWSRgooaW1EO/NXTgt7bPXFs9d+r6qeNXr1yY6+opbN/b0dHXlMpnNLMT1oqZyDmnFBYSwIdnnWVmElFCFRIqVkvj16uH35k/c3wl5fd9+ZnOQ0+kGluEiaywYmVjVpqckNqcUIoYAAAAAAgD9Y9Kk09EHYNB5+DuA08OTo0vHH712vip9VxO7drf1r670NHZ4thpE2qN6wPwkSjSNiLryer0zerZ47XDb5ZmZisdvX1f+9pDu/c7z9f+xt5GpJmIWHtEmzk9DTEAAAAA4KdTgQTOuobGbL4ps3Vv18SNmSvnZo4cHYuPqLauYN/Bwd6R9nw+j6sB8FFEcWX12qXVl19ePH3a1zlz4EDX3/uvcyNDykpEzulaisLfaAMQAwAAYLOHUCiThDbc621QrJTeqEemzdDwwPDIUPS70fTY0ukT14++NnnkxZtdfW2NA/7+A0MmYFZGxGptFCsciwe2Da/9nS/90pfHJ771n1mkODMx98ar1VOnVpdWs7u29//JP2jcuUM1Nvr1xcPeh2kDYgAAAHzyUCYJbbjP2lA/6+/7ft+O5r7tLUw0P7Pw8o+OnvhO8bUfHB3a2tM70P7wY9s4JFE4FmjDB7n5zuvFH/4kuXzNDvW1/d7v7XzkEHNQI61YfOfq1QI25QchBgAAAABsTrgVEbldRqCtq+Or/9XvJjV34p1zZ0/eeP3F5Vd/eG7fof7HPrM73eAZ9omtE6tYOUdaY7gFG2b/9f8TPLa38e/8o96dB0gZVlqYAkvMXN9n9Jc+D5k3bXEAnpcAAPAbGTOhE+A+w/XxFxNR/fnNyuOHn9p78PHd85OLJ9+9MHVx4U/f+l7XUNPo00MjOwaYtbBiTvDnAHfs/T//Ly9bMB4zkbWWSFiIFAnRnf8+6BnIm1m/AjEAAAA2n3MOQx94EOKuc04kaexO/1b34+5Zd/ad66feGv/mvz3a1Hy+Z1vjvkNbunsblULpMbg98s5kY6m5RCshZrbW/lrPN631Ji5MRwwAAIBNliTJc889993vftc5h96AB40izqaa9ux8/MmZL184euv8pcPXZ84dO/dWLBUWEWFxVimFnHyfDOtFhFg0seMff+l3f+n9U6kPv/mPUuqZZ5554YUXNisJIAYAAMDm+/GPf6yUwnaK8CDGAMWV2uLJsy+eOPPCYN/eLf0Hf/exv/fVT/83Pznyg1eOfzeK15yvkyQJguDXOhMMd+nhZiYRFgr0r5TrjPnwY29mvnz5MnYKAgCAu9rS0tLU1BT6AR5ALEqRsdY6TozH1kW+KVw8eS1o+f1Dj37GGOkdzh18fKeXJmbNvLG1EKYN3StqRJrIiFgWFiU1R9H62Ivf84+fpnLll377lStXPkoMaGtr28S6dYgBAACwyeqnu/r6+tAVAESUJEnb5w88/Tm+eWnx2DsXxi/cmBp/e2j74J79W/sGc35q4zSyYh99dfeTmIScZRezVKavTr324+qRc43Opb/8+wv/4Zu/9NvvqhdGxAAAAACA3yBmVko5sX07Cn07nigWDx5/+8rE5aVv/7sXwrSMHtrz8KO70o0aVwTuCRXt1PrSzWPvFA+fkjOnTGdL5nee2fK5Z0M/eO1XiAF3FcQAAADY/EEPKpWiDWjDHfVZHJqNE2HmXD79zOf30mdpcnx+4sbi5NW1f/Ov/rapNTuyq6t/e0drRxOTMHM9FXzAAhsci4+hDSISizVKOaHa8nLx9KnFd08Ux8ZTLfmeA/vluT9o2TKiWZGQY/lkXycRAwAA4JOHSqVoA9rwc6n3Nn1nUtTR19I92Oo+tbYyv/Xd169fPzV/+AcXOrc27DzQv3PPkArNBz8ajsXH0AZmVokqjl2/cfj16lvvJPlM7+i2nq/8j66zKwzYF4+EiOvHkz/1n77zCb5OIgYAAAAA3BNxmbRmoYgp29yuPvOH2VrVXj03efHE7H/+94d/0nD64BPbDj6+w886Zk3EIpZZidDmFpCC9w6IS0gpS2RIEVEUu2Th1szpE2svv15ZWWwoNHV+9Q/ye/anmlqcJj9OODGWRTTfuxuiIQYAAAAAfOyYmJgpIE1EpMlPp2jPwa0jO3qfnNt++vjYiVcvvfPauZ2j20cf29rUFiitRRwzY1ehTR79i9TLeGk2tpKQR4tLk9Hp0yuvHl67NR82NKT6+4b//t/Xff3phvx73+YZIrrX13MgBgAAAADcLYKM1z5Q+HT36L5Ht548fGXs/NSF01f2PDTw0BN7Ck0BcaI1NhTa1DjGXC90WLTV5bFzc6+9VjxxXlvbtHtb+6efSO3d11zoEMP3ZbE3xAAAAACAu4UTzUyeT23dzZ/7cmHp8bVzJyZOHrt+4thUV2/68Wd2925tV4qtiFKaCTOEPlQnk1grHkmVlUmi1bGLq6fPTb7xEz+OC71bWv/oj7K7d+Xb2w0zOYkVedYSK1L3W2cjBgAAAADcLe4MNZmItG7pyDz9+R17DvaPXRy7dGb+P/7ZkdaOwt7RzoceGTKBteK0SqHTfi1WKIk5UDQ/MVU5+c78q6/V1sstbc19B55ofuwx09ObCtNO316DodgjIn1/DpgRAwAAAADuVuKJo6am/KGn9u992P3/7N15cFzXfej53znn3u5GN/Z93wkSJMB9XyWR2mUttmRHlSiL7TeemVfzR6qm6lXyx5vK+J/8kap5M+/l1ZQzeUlsxy5nV2RTlijZEimSIrhv4AoCBEGQBEAQO9Dd954zfzS1WLYk24IoEPh+qiRRWA9Og933233uPb1dN88dvfyzlzv37zm/bkvjhh1tJs4c/WbSIyODhw5c2bM7MTpg/YLE+g0N6zfairJYXn7UOa1UWjmzME7EJgMAAADmKq3euxKNimXplrbqxiXla3fd6jp5++jBc8c7zi9bUbd665JEQdw5JSK+8US4mpCIiHPOObFOpWxaa+ulwoFTx5JnL/TtfSca96qXLFObv1VQW5FdXOBr8+FPNAtmisgAAMAsY4sixsAYPqd3Oee01lVVVZUVpctWN1w6c6Pz6KXuU+/GCs3qzS1llbn5pXmf0AAL57ZwzlnrXDI1caN38tzpsUvdd7qvZ2XF44vrF33rm4nmFq+gKKrEifvI6RX37zyQAQCALx5bFDEGxvA5vUsplTkQVNovKvcKyxvX7Wruvzpw6mDva/921IZeY2P5qu0VdYtKnfOdUyKBVr5zknlJYb7eFtMiESc6cKGnlHMmcP393dOnjw0d67DXRnOKSwvWryh69KHixW1K+UpnrhJ6d0b0L2bA/TsPZAAAAMA8997z/UqcMUrV1JVXVxeP3G7pvtx/quPSv37/enF52brNNfXNeX4sx4ncxxtc/XoiKSs6DDw3MnAr3Xvt+sGD6shFk5uVs6i18PlteYvqfd/3RYsyH53Bhb16igwAAAC4j4VhqLTOK81dVpC1pL3h0vG+w/s7d//j1dLSshUP1ixeXO/5Wqn5vOJ9ZHwsvHyxf/9euXbDT0/7ZYWF33whf9mKWH6eCp1o34gOJWUW0LJ/MgAAAGD+yjyZbczdo9uoHxVfVmxf1Lqm/krnjSOHLuz54bl38zvb1jQ1LK0uLctVToVhaDxP7s/XB6wLnNPWaqNEdDqZnhnp6Rs5sDc83xkMp4LykqpHdvltKwqqK837z/J/cOTPtmtkAAAAwLzmJ2zL6pKm5aXXugePHOw+fPB6x4FL7avKlq5sLqsqcDKjJHY//lzaqVCCULsbXd321KWZYyfH+3tdcUHB448V1dWX1DcoZVSgtctsuwAyAAAAYGGJihGtbd2iyoYl5cMDd8509J8+cfXYoRstS8vWbWoprfG1MaE4JUo7ceLm1Cp55+5ewMc5q0VEdEo55exoX6/t6b7+9s/T3f3TebFoY231c39U2LQ0lpOTVsoTZZWkI+IJq3/IAAAAgIVHZZ4NV1qMiJii0tKtj5Ws3rb4wonuw/vPXzp7q7AktvGhZdXNJdGIr5VW2ptrP4C1VikVBmKVzExPTpw7MbLnQPrWtZSS7JKKvK+/lNeyLFJcpES01iISFRER/d4fQAYAAAAseE6Ukuw8f9WWxkVtTedO9XYevfTK3+0rKStYsbF58arqSCzmeZ5zc+U1ASfKOesmUwNXu4ZPHjXnLgRDY+PVxbVffSa/ZbEpKTNiPCvaKdHcumQAAAAAfiUlSislyphoXpFsfLB+3aaGrnM3zhzp2fva2Y79V5vaYsvWLC0rL3FWlLLOidb63lTBjDjjRDlRYgMV6CDqpiYGr3Ylj5+YunLR3rzlcnP8je1Vax4oqqsTMeJEVCBOs+6HDAAAzL1DDnaNZQyMYY6NIXNJIaUz7/JVxLasqmleVnHrxlD35esDF8JXDh+qW1ZY01xcU1eWU5QnH7qm/uc6D5G0CtXM5MykHRwfPt05c/5QODQ2NjVZ0t6WtW5LYvnS3MJi4ydiMX33s5SIeB8+A5jfBzIAADBXsGssY2AMc3wMmfX04nkVdeXlteXBQ7b/ys1jb3e9/Pcd2dnZi9pLNm5fnlsUVVor5VnrPu5VgV9/DNaGokSUVk6UFQkltMH01MToxXMTHSftpUvTE0NTxdmVO75UvGJZvLJKW21NyohWYtJB2rkIvw/CLsIAAAD47DItoJT4ouuaKusaKibvrDv4zunzHT2XTvcvXbVkxYbmwlIRJUp5YRi+v0HBb0E5I1ZcOrReavz2nRsnj06dOjNz4nzU96S0JGfnxtLGxqKlK7Pe/xZa9HtX+vd9Lvn/uSADAAAAIIFNRfPUg0+tXrdt6eG9588cv3Tu1OW2lXWrty1O5KrP0gAiMpGadiNDw+dPjx06Yc/2Tvs23lJb+/UXEqtXZeUWR6wRT+vQcSuQAQAAALinjHf3Ypu5hYldz65Zv625Y9/5M4evXTk9sP6h5oa24nh21NmYKFFKfvns4ffWqzgl1jpRVtKekcmpmaHrA0eOh52dwz3dvjG5i1f4/+vXlqxcE43lKFESOitKayvKpT3nczOQAQAAALiXPnJcn1uU2PXsqnVbku/sOfbjfz1U/E7l6s2NbavLvKgW8T/uOkKhqJQ14ehIcnxyYO+b0ctdt28MzthkfPGy8t/9evnalS47FhOjlZc5bVk8ldkgTERoADIAAAAAXzRrrJVYcWTX72xZvn743Z8ff+Pf9104WbJ6+6K65spo9Ffs0zUxMTE9OHTznXdSp4+qkRszLlH64EMNTz9XuLwt6axnjBWjrXIuFfrOiGKOyQAAAADMMVpp7UXFEyU1zaU1jY9eu3jryLsX/uWvD1U25m7ctaSmtjIWN2kbTg+PBreHet46YK5cdjf6pnJy8rdsL12zuXRRfWhU5pSC+C986fl5yu9fv/m7T0+N3gAAIABJREFUn/ox39j592QAAAAA7qMqCKsX51Q0rW9c1nXgtXOv/uXlmsXvtjUX2yudgyfPJkLPK/EKtu7IWvofimsbRBmtRYwS50TxrP8cRQYAAGYZWzUxBsYwD8bgRMLMmn1R1lmltHPxYGo8R0/ubHeXb/ww+7C5cSwyEsspXLOt6ckHsyuqjVLpIAi1GBNa5am7n75wb4t7eT9JBgAAvnhs1cQYGMM8GIOyYgKb9gJjbdDXN3C0Y/TMqZGevkLn+S1Lmp7+nYoVSyfC+L7dVw5c6D7w397Y9ujSzVvXRjxzdz+C945bF/JtcS/vJ8kAAAAAzAKrZGJw8PbRg7cOvOsPDnmep5cvr9j0UMma9qycfN/4gahEGHz5D5YNDtQfeuP0vh/3HXqz68mvbG1qrzLGKNYCzXlkAABglgVB8Od//ufHjx+f3SeuAMwuJ5kdgpW2odPKKe2c+NYtKi1YUVreMDaVHhkanQn3dl0668KwrDw6OCBvvvFxX218ZKYo0pAcVeU1xccu7+m/3WO0SQdppZzM9mqWuenJ/5j1qR/z5S9/+bN8i9bW1m9/+9taazIAADAXaa2//e1vB0HAVABzmRHlnFUiofYLjDzUULOyqHxNZZM/MZ7sv/XDwf4Dl65eTo6PTjvfxpycT6nkJx1TaglC+dmhV5586MXm+qV93f37D/98bPJ2WqxzbiE8KfDkf/ydT/2Yl19++bN8i7179/7pn/5pIpEgAwAAc5FSqqOj4+233w7DkNkA5gAr4kIREaNFJLSidahsVqhHrlwe6rlQN5Fsr6iIRGMlq9tteVHPiO6RdN1UstlzQUppL5yWlPKMF9x9EvrDx/TvL/7xXDztpZyaiVq/Mq8yP+f3ly/aee3mxfrWgrySmHV2AczzkU/9iL/4i7/4LHet7e3t8Xh8toZLBgAAZj8DVqxYsWLFCqYCmAucdWFolRHtlLh0Kjl+8XBHds+t63v3eWKzahfnL29zLUsqVy/X2QmJRJfNxsZeqTF7rOP8oX25yel0Q2n1pgfaisrynA1F68yalvl38sCvs2/AH//xH8+dAZMBAAAA85a1NnASaglu9F7qODC6ryNnaNx4kTsVpfkPb2vZvFXyylQiEfpqJpQsI344Iybrs39fk0iv3NawYlPTqY5Lxw9e/B//5ZWlyxu2PrgqryI+LxvgfkQGAAAA3PdH+xIqccp6VjsloZ3xtG9VevJOz1v73J2B2wf2x5PWzynOb11W9ftrE9VVsYICZ3zjlFISiIs5F1NKnBIzS1v8qkg0qqwfrNuxuH3VojOHew/tP3f66E+2PNiyYWdrNO4rZcLQKeWUUlQBGQAAAIDfogJcaNykSHZSp0zQd+Z0ePnc+MF9ycHA06qguSF344NVD231ywoSkTwJldLu7tVmVOZwUIlS7y0FMrMyIqOViGhllFLxfFn3YMOKTfXHjnS+++aF48fPr93csmZDayweUcYTEefcPCiBb+z8ezIAALCgsWMrY2AMn+e7nBPJPIeeeZezdvRGn9wZGjp5tmfgxvili0WFxV5eee72p4oWN5jqymgsSxntW8+JCkOntdJa3Zt5yBzcO+ec0SZu129vW7G65fj+yz1n7xzd99OWJfVL11ZW1ZcaX5woZ11mYL9cBfw+fOq7yAAAwBePHVsZA2P4PN7lnHPWiVVaJKmT4cTY7ctXrh98x796U+6M6Vg0q6I4vqq99NkvF9bU+54nH1mCb0SJ6I85/fdznQellBKllRaReG7WxkeWrttuey/fPtLR+fLfXSusjG16aFl9S7mTUKyvtVazsffwQvudJAMAAADmJ2ttEAa3r11N93bdOXxUD41NDA0X1FR6q5dlty03hYXZFaVZQZbVTub2+hpjjMpyTStKqlo2dp+7efLQpVd+sL+mqWz7rhUF5TmZJ7xna4cskAEAAAD3g2DGahOK54tyLqVEJ41O3rqRvDo0fvnseOex9MCAzYrnFFcVPbBNmhqL6pqNH7ValBJlJYyIyiz4n+O7dSlPRGJZ8aWrq1uW1nWfv9Wx/8Lf/re9W7c3tG9qSuRHU4H1jOHcYTIAAABgQUiZmHNirMxIONV3I32t+/Lrr+UOTM7oOzmlTdGyRWXPfjWroipaWaqV0k4ZZUTk7jPnOnN6r3r/X3PWh85NiHgxaV5eWlYbO9Zx5eC+c4ePnF+xrnnVpkXxhK+0Mcbnt4IMAAAAmOfc6MitixfGOzsnzp3RI8MqGsuvbip47hnJziuoqdaxuOdEKe0C57RWKpR58Wy5UyorL75516rW9trj+7o63+0/eqB7w6aW5Zsbc/LJADIAAADg/pdOp4yOKJFArDE2sIGeTt86f9kODt46cEiP3p6YGK1prI8sbspZ86ItqaisrPqFK+dk/utn/mPmx5xoZbQxIlJaWbLr+cKb1wfOdPR0HOw+feTKtkfaG9sq/binlNKiWSVEBgAAANyfh7zGBJKy6WC69+bErf6RY2emrnRGpu5kF5R4lfm5O75UWduYW1sR8X1jjViR+XJZ/V9H5ictqyyo/ErBqs1Th/f1/vjfDpYfyv7S7+woKMkSMZmTCkAGAAAAzMUD2cyuvkaJ2NBq40S0OBWmB671Jvuvjxw7k+ruTo8PRf1IoramYOfD0tCcX1meyC5wOhTllNbiwsAEyvO0VQvqsjnGGG1i1tmC0shjz2ctWpp/YM+lv//vezduWbJuZ4tIIM4LbWiM4ZeNDAAAzC1sF8UYFuwYRESsOGdnVBBxfio5MzxyO2uw/073tYmunvHevlgQSl5ByZJG9diDsaZGmyjILyrOXBLn7ld+f52P0n7mG+kFdFtkgkeJMipzbnB8UVtdTXPZxWN9r+8+cfJs7+YHGuoaixN5efxOkgEAgDmH7aIYw4Idg7V2cnpq4vYd6e0aPnVSBgYmrvaY7PzJ7OzmbVurn3ws0dgoOqK0CkOrlfLCzN5aitvi496llMrKymrf2LhkTc3+18+8+qMzufmRrc/UL1q0yBjzCYfFbB9GBgAAAMym0NlAAqW0CTxrQhdYSbnRoX47dmfgYEfu1WtDPT26uHQ0Ik2bNxQ/8UR86fKcnJyPrO/3Mut8OBD7NJlJM55nPO/BJ1c3tdbs+emh1/7m8olFXbueWl9UUpLUQZbmakJkAAAAwOfMiVLWV8nw+lhf4eDY0MH96bG+oUvX8lViPBHJ3r6h8tkn8ltaIolCrbQ4Ud4COsf3c26CdP2iov/Q/PSFk71v/OTEj/7fjnXb61rX1UWzDbsOkwEAAACfVSgiH1yM04pI2infKdFyZ2AwPTZ0+1iH6h2yp0/fzNLTieyipWvqX3o8XlfRWlkVKiMiyqq0ckqHvgtEopm1K5TAZ6R1TKyIkkXtNRVVRcfeufTuz3uvXBx5+OklReXFYpQTJ6FowzyTAQAAAL85kxIRl1Kh9jxn7cTggMyMDZ86kerqS1+5FhtPTieyYssbCr71Bw2Ni/ziMhFl3jvN9248aImKEjGi7r6BBpgF6u78aq2zi+PbnmmvXVry9o9P/MN3DrWuLV+zvSUrN+JpI1aL5jpCZAAAAMBvKOm5YHpsuv/q5Jkrd3ou2+u33O3RVI6fVVpW/rWnpkoK25uXiVVGR11oxYr2FUf595jWOnBB9eKir1Y8+M6bnccOXbh6fmj7I6tqlxR4UW4LMgAAAOBD3l+ZMyUuHqpQOaXFWmu1MeKmJkfHh4fcjZtjR0/LraGJq92uIBorLKt68uFIWXVO0yKJ+MqKEnFKnC9aJDTKiSjhuPOLOIpVkdC5SJ7a+fSyJe01h/ee/+Ffv7VyfeOaHU0lVVnKRZURJZwzQAYAAIAFTykVhqGIRJ1KqyAUpyeCgYHB3BsXr5085/cPj/XdiGXHJvxY9Za1xV95PL+lNeXFIlp7dz/97qIUJXcP/A0B8IUySomI1rG6RfGa+uIThy7+/PXOrp7b7atLNj3QGollOcf6IDIAAAAseNZaY8ydO3fGhsdik8NjBw4GQzcnrly/kRWdSCRqN21ofOaJrLoGKSyIGRNa58TFQ6eUiFaze8l2zCKttXPOiV65adHSNfVvvHz4+N6+2zemNj26uLKqSEQLtUYGAADuAXauZQxf5BgCGyjntBgrgRhRTrswcOFE/+DU2Ytm8OZg7xUZuS0Dd1RDTVhcUL1la/nXGrMqKqPZ8VCc96HjRd/TzrkPdvX90Op/bou5NgallPGViI5l+U+8sHntltGOty/+4/+zr21D7coNiwrK82ZkOuHF5/E8kAEAgC8eO9cyhi9wDEllo9pLpVPWpftPn7x94aJ36aq6cHkiMh3GE+VrN8XaW5u2bja5BaKioVW+JzZlw6g4az0n8qFrTXJb3KdjUOLKK/O/9OKGy6uvv/uzi0f/y+7WlbWPPLc+VKHW+pOPpNlFGAAAYK52pkjorFainRMrzmoxympxYpPDQ9fe2udNJse7LttrXZK2XmF5vH3pzJZ1a7fsiMQSTjmllDgJVGBEPJFArBdTIkorEVb9zAvKRFwoSktTa3XDospDb1w6uO9s18XXtj9Qs3rbCmusOKeV4eRhMgAAANxPrHPailhttSTDlA1uD7x7OnXpytTxozI8FkpMGkrii5vjmzdXr1kd5MU9rU0oyo/cbQgRUeK9dwjkiRZ574CQBeTzpwRERLRoMbJxV9OqzXV7Xtv/2itd58/f2vHIqqr6ktAGRi/0w2AyAAAA3FdHeCLjfbe6DndkDVyfPHZEpYIgHeRUVWdteKBwdXt2S7Ox4jzlRJSLeE4ksOK7zGoKru6/0Gitnfa9uDz23PZl7X0HXr/03b98Y+MjzTt2rmZyyAAAADBXOOdCEROqUMTqUIkEIr4LvWRqYmL88p69kTAZ7H8nlUo55SIrV07tfLSsdXlV2xLnqY9f4sGV4xd4N6qIHxGR5tamhpb6n/10/9Gf9/VfHtr06PL6xgqlrCjjnDPms15Y9P/8n77/qR/zn7/ze2QAAADALwjD0BhjAudsEHrJaNJN9vT3dBxXA32DnYdjory0totqYg/tati8MlpWbVTMWW0855SIONb04JNZa0Vk1+NbVq8e/9F3D/7T3xxcvrpy687lifzEwnyZiAwAAAD3iBOX2YMrs0jfOWWVaOuUcqJCq6xKTt88ffZW10Xv3OX0lYuBeJKbm1i2pPwrf1SxYWVOUVFKG+OUts4pK9pZSSnxxTnO98SnUkppra21+aXxP/rfdp7Yd/FYR9fpYz/d+VT7yg1NTllRXujsJ72wRAYAAAD8Fg2QOfYPnFNWixJxVtnJMOn6Os5M9l5L9F652nU+Jspk55mta9z6tuVbHlRZeZFQuahWWiuRqIiozGU9jYiYu5v68joAfq0MEBGttUgkKy4bdy1qXV2/55V33/z3I6ePX3ng4VU1zSXOBCIxMgAAgN/ysZZtkhjDL7/LORHnUncmJm/1muT0wMUrM/3XgrMXTUFUCgpyYrl2w4rGRx4ob1vqEjEj0bTYiFWinPMVW3cxhtkfgzN5Bf5zv7vjztDE/tdO/+T7h4trsrc/3l5RE5vF4d2z+0kyAADwxUun07t3756YmGAqFppAKSPahC4VlWionQ2ds57SzYUFFbk56RvXe/bt9+2MGxntHx65PDweb2qWpctMQV5BXq5Syg6PyPCIdHczk7iXjDHpSDqZd+etfTd7zvVv3dl6ffRS6KWVNTrpBZFgFr/XD37wg8/y6bFY7Omnn/a82TmAJwMAALNMa/38889ba2d3w0vMfUppkVC0ZGm/taioKh5fW1remlfusuSES50fHBxX/sH+rt6B8cFAhsMwPHJQh1op5cRZa7maJ77Aey2nxbjohmUPD08+pvTET17/5wtXTzs1Y539Nb/I//GNv/vUj3nppZc+yyBLSkqeeeaZ2fqpyQAAwKwfC6o/+ZM/6e7uzlyXA/NGKM6JDV3oKd+IyhwdpbX4TpxK26HhWz1Xl+UWbCuvzNJhNGZK62sjJdVjnv23y30jqfRIbnE6CIrqlxTZaaWsiKdCCaJK0oESyZy7ySTj3t9fiYhzzupQKVGhjLmTW9u/mptVduLcoeHUxfLKYucCa40xs3Dq8IsvvvhZhrp69erPfmFTMgAA8Dk+rP7Zn/0Z8zCvOHHOhcopK0ZUaENRNtB2+OL51K3+0QuX7py4mFNYYisb86uqbH4itnppTm2zTeTllxQZYzYxgbh/ftfDMJ1OS/f5vrI9xTdvblz/YNu2hxojsahzJnOtoY/7zF9n34Dvf//7c+dHJQMAAMCntp0oJ16op4avD166bEbHeg8ejAxMBKnJmPELGxu9bZtLly91ibycspIgFkmEUaVEnBPDOh/cZ7/rWkdisbClraaytuj44WsnD3Z2Hrnw9Nc21y2unGcLHckAAAAgTlJOxImvnRMlgVVKixOrApW82jd+/Vr6zmDvwUPZo8MjI8MlDU15FbXxbbW5La2eF4+Vl9YaI0pCES0SsxJ6osVRALgvO0CJiDLGyy1I7HikdcWy2h//09F//0HH9ofbVmxpcoGIEqXmw+bUZAAAABDrIjawnqikhGomdfPs0azR8a53jiRHemOpUKVdbkNjYW1J7sonqqurIjk5WTl5gTjPGE99cCxxd82yvnsxf2YV9y0tSpR4IpJbql/8n7d07Ot8a8/J/r6x7U+2JOK+8oxI5COf85+/83tkAAAAuM8EtweHz58bv371Rse7salAzUzm1VYXlJVlL96Vu6Z9MjteUlJqo1EtRoVWaR0654mwdy/mvVBHlFEbHlqWk5vz03/ouDl845mvPFBUGlHmvv/RyAAAAOYn55xSKpCkl1aBFwldWpxTokQba0NJpkbOn9fDd64dPTrV1VVg9USYym2qqqip8dpWxFvbsvMKEolE5joqub9w7GAk82QpsABEvLvP+i9b15Bb7h14pfd7//WtLTvrV21eLDFnlKflfg0CMgAAMMvYqXTujME555yf9MLkwI3p6VT05sD4pQsSzgycvZRyU0p0IrewbMmSYMXSgraVKRPJycs3Ud9zxrpQGfnlC/lzWzCGBTsGrXVtbW3pHxYd3Hf60IEr50707nx2XWl1gR/RWusvfB7IAADAF+8THqVm91337BvN0TE4JyKBUtoGaSXRwDkxoVZaxLkwbVO3u3u8manRI0dTg8NTvYOx8dvpkoKpiF/e2FT11S/Fahryy6tExIo4K9qFYnRKnG9VaAItRn7VSLgtGMPCHEPmtTXnXDQef+jxdWs3pt9+7cg//tWetjWL1z1UH8/P8bTWyjinPhzP93IeyAAAABYMpZy1EoQppaNKz6TG+29dzZkMUhcuDV+8HE/b8a5rkhdLxSI5jY21v7cjnYgU1Db42XnOBFHR6r1jAH33HyMiUVGixdw9xZdlP8D7f9uUiLy3aYDOKTCPPLepoqz0jVc6+64PP/LsioqasrRNer5/H50cTwYAAHC/mpmaGey/GQzeGNv7s1gwPdM9OOqcX5R3JzuiNmwoefyhnPq6eHGJtSq0ng7SXkRbpUwYVdpyci/w21eBKOPpti31NS35e3505vUfntj09LJFiyvur3QmAwAAmFustVrrMAydsSJGnNahOC9Iu0DGkyPXr+vUzNiZc+neXjM5OtF31S8onc7yc9vach9+zib8suYWL5b1C8v6jYgR8f3MH99//h/Ab38MbbRnoqYs78vf2vrTf31393ePbHm8qW1DbSSS0EobfR/8FSMDAACYWzINoLUOnLiZ9J3BgTuTd3L7BsePd6bHBsZudVkv6hfmRcqrS7Y+6edGiutbool8kdAPrWglnpdZxKxY1QN87jHg65g88dzGQwVnDrxxpfvswGMvrMsqckbyyAAAAPCBzBl+obJOnHKilXHitGgVSiDiKREtkyND0/196VRy5tSZdE/P9NCwDI8PFudOJiKVqzeV1L2QXVwYr6maUWFEWW21U0Zr5ZwXeiJODAf/wL2jlLaRmN726IrK6vyDu3u+919/vvnJ5lXrE0qJOE/N4VcFyAAAAO7lIYNyzpm0VqKcERs4pXQ6OTk8eFUmZqZ7ro50nvNHxkeGbidyc4zyo4115U8+GXpeYUOzSeRmDvEz5ylmZR7Ezd0TElXmnF/1wTditoF7EAGZ0+qdc03tDYUlhW/t7vz5v58eGQ7Xb27IzklYK0qpufn3kQwAAOBes9qODtwaH7qe0zdw9dS52PTMaO8VsbawuERKC3If25WfU1jcUm8S2eKMDrTRYlPWhU48xfE9MDcLXymVW5J44sUVZ06Uvvnykf5LQ7uebauoK7XWkgEAgIXycLgAtyjKrMW3YSDiAqeV1lpJ0llPKz09nQoCMz51+8yFdDg13XN18tq19NSYnZnKaW8zRZGc2sWVX3veZUWyy8u9WFxExIrTIs4qpUJfRJzLUkop7dQcnwfGwBgW4Bje53sR3zfrtjTVVBd2/Pzyv/7NOzueWta8rDaaFbFOtNLvv2DH9mEAgHloYW5R5Jyz1or20tb5QXp6bCgynby2/6gaHQ37Lk729TitU77Jqm0sWNIYX/901fI1ztMm0FYpZUSrX/wuWpSIqPeu5y/KiIiTuT8PjIExLMAxfOg4/e5f2dLq2JdeWnn2ZO6Pf3S+bO+V5/5oZ25+xLlAKe9zHwMZAADAbLOZR2GltDgnTqW18kRSIjYI0hPjOhX2njoRXr2QdXv8zoXOdGCTWrLKi4uWrcvfuqOsbUmkvCqqxSrPilXWOuuc55Ryyoq7u6aABT/AfKAlkVbh4hUtxsje3ef/9i//5YFH1rSuqPC8LDGiRc+FXcbIAAAAPp0TCazSop04cU6cTMwMp2eS6XNdty90Fg6ODZ4/PqXCMC2RREl6fXvi6S8VtSzJa14aVdoapdQHF+rXIlr0+/uR3n0TgPnEiC9GRBa3L25c0rj77w6++k/Hz5/qffr5bdE8Y5XTZAAAAPcFK24qOWEnpv3bA1cOH9aTyeDEGTs6GcRNSiu9fnnBU39YVVuW07bIRDzP+Uor5yRULtDOKfGEp/mBhff0gXNaa2PM43+wpe5Y72v/dPwf/r+3dj6zurKxKLPajwwAAOCLPcQX7cRaJ0Zpe/ct1rkwmZpMTpjJ8cHTZ2xXT/TylYGbN4Ps2LR2ZTVV0aceiWbHq9asiiYKRZTVoTinlbIiVpQTp8QZJ0q0OKECgAUos8zP8zztuZUbqhuayl/55ze//99fefDxDSsfqDF+3HvvXAIyAACAe8o555zTViW9MNAumjJ3Jkb81J3R891DV7rsxC050xNL+aMu7dVX5j7ycH4iVrO0PVKQGxgTUebudQCVEhH93gX831vgo0QUR/8ARESLciqSW+K/8IeP7/vJsbd/drF/cPjpFzZJ5It8moAMAAAsUJmD+MnJyZlU4A1cv3rsiD8y6k4eH3PinJN4onbT1uSTq/IXN7Q2NYXiGaUDZY0yTsRzKrThh5f3A8An3NtorZUTP+o99JW1NUu63v63Cz/6zqvbn11bWVWoxftCzhAiAwAA8/ehNxCnRJxTmYttWlFGJsZHVDqtbw1cO340nRqXC10zt/oDkzUViVRuWqefeq5lycqixprQiKc+ehJv5BdevjfMMIBfR+YpA62UViJilixrzC8s/sFfvfryXx1cv6tlxZZWZwPfKe3f03sVMgAAME8bwNppk45aSaZmZpIzMpUcOnlipve6f/N2suf8ZHbEpmIla1ZmbdhUXNtY2t4e+JGIVYE4X4sYpZxlDgF8HpyTsvL8r/8vX9n72rG9r5261TfywGOr/NxAJJcMAADcx+7B5p0us2mvE3HOamWV+E4CJSYQ5WwQTI2d7wrHp25fOTvdPxSbmhq80V1cVhdk50ZKi/If3GaKnytqbtK+CbTyrJfWaSOeCSX0nFGhFU+9t3/Xpw6PHVsZA2NgDL/pGJQyIjavWH/pxXW9l+r37j77N//XmzseX7xsTUL5gUhEf8wWIuwiDACY0+7B5p0qFSqj004kVOKHwfTwwJHTM+NTye5Tt09fDJXNToltLsvNb4mubClpX1KTVayzcyN+1Cor2kTe+zq+iGiJiC8iYjKrfLz3H29/neGxYytjYAyM4Tcdg1JKxChlrNjaxeVfq8k7vL/r1VdOHDvQ9+SLq0oqdebO6TcaAxkAAFgQpo0aPH/WXrk63ts9euqwdpI1LbHi/HTrktItD+esW5ldWhGJxkxWVIs4pcSKF1prrfa0WCeaK/gA+IJlzhu21ppIfOujLaV1OQf+5dzf/t8/+8rXNzYurroHAyADAABz5RFRKSWinIh14pyIltCFUaVdKDacmbzSM3Dxop0aGT14ND0xqpTk5BX6ra35Ox7MWb46v6Zea52Tk/Orv7oW8d67rA8JAGAOuHvesNY6IiKxliUNZd8q/dnLR3d/d/+Gh5au2b7UmUCJFlFafy6nDpMBAIA5IbPPjljnlA3cdESywptDvUcP+8mp/sNnwtGeyIzNyS7wGuvjK1uLF6/KbWpOxyO52bmBiFGZCwI5phHA/Ssnzzzz+5v2vXH+jdeOX71y88FnNxYUxkWFn9N1ycgAAMC9kDml14rToq2zWhlxEipR1mmnrBHnZKrn2rXLZ2Mjd8ZOnB7t71NGlB8rqGvOb6kqWP5UTn19EPHzsnNEeaFYT0k8lEBCLaJEO+e4ij+A+5rWsUDZDbsaCwoje3d3/cP/eO2JZ3fULsqxYvXnsLEAGQAAuDcZIEEgSrQT0dqEYaCUC8ZGrnWekpHhiYtdYxfOapvMSme55pbJlsbyB7Y1rViZVH5WPFcSH71uxt1HRPPBw5hSrPUBcL93gHiitYm2r20pKi8/8urxH37njdVbW7Y9slz7oe97elbv6MgAAMDnKwgCz/MCFwQShqMTfacOmOn0xKXu5LnLLq2zpqfj9eW6vqJs51drN6xNJVR2fqFWEQlCG9wBAAAa80lEQVREPElo65S2YlnRD2ChtIAyoQ2qanOLf39r1k87Ojuu3+oeePylTUUls7yrABkAAJhl1loR0cqJdeHUzK0zx1LDY6m+64PHDnuhU1N3cmua4hW1ZscDjetW6tIS5cfiWQlR6VBMVJwTCUWUJyJh5msYxWofAAupBLRxznoxvevpNW3tE7v/+e2//cuXNz/UvmHLCq30bN0jkgEAgNnPgG984xt1jbWJaDRiRUmg06EKRFXWB0F6OlkwqX03PCxDt4KLZ40Tw3a9APDx96kqtLFo3r79g2+/88Z/+k//u5qlV0fJAADA7Nu5c2daQq1cREzaaifixHpaOWfzlZPQalFKjDjntBKW9QPAx1HaiXbWinNBOpjFBZJkAABglmmtX3rpJc7ZBYBZ5JwLw1DP3u6HZAAAYJYppZRSzjku5A8As3jXaoxxzs3WkyxkAABg1h6iPvwHXg0AgLmMay8AAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAGAum5iYEJFYLEYGAACkurpaREZGRpgKAJjfRkdHRaS4uJgMAABILBZjEgBgQSEDAAB3MyDzSjEAYB67fPmyiOTk5JABAAApLi4WkZs3bzIVADC/TU1NiYjWmgwAAEhOTo6IXLp0iakAgHkslUr19PTU19cLi4IAACKita6vr+/p6UmlUswGAMxXvb29IrJ+/XoyAABwV+ZRIfMIAQCYl86ePSsitbW1ZAAA4K7Mo8Jbb73FVADAvDQ1NdXZ2VlSUuL7PhkAALjL9/1t27YNDg5mLiIBAJhn9uzZIyKPPfZY5n/JAADAXRs2bBCR3bt3W2uZDQCYT0ZGRjo7O+vr6zP7RZIBAIAPZF4QmJycPHDgALMBAPOGtfbVV18VkSeeeOL9N5IBAIAPbN68OZFI7Nu3r6+vj9kAgPnhzTff7OnpWbt2bV5eHhkAAPgVtNbf/OY3E4nE9773vZGRESYEAO53R44cOXLkSH19/c6dO3/hDp+pAQB8WDwe//KXvywi3/3udykBALivnT17ds+ePYlE4vnnn//IxsHKOccEAQA+oq+v73vf+56IvPDCC83NzUwIANxfrLVvvvnmkSNHEonEN7/5zXg8/pEPIAMAAL/a4ODgD3/4w8nJybVr1+7YsSMSiTAnAHBfGBkZefXVV3t6eurr659//vnMRgFkAADg1zU1NfWDH/xgcHAwkUjs3LmztbX1I68pAwDmlFQq9fbbbx85ckRE1q5du3Pnzo+73yYDAACfxFp77ty5N998c3JyMpFIbN68uba2trS0lJkBgDl1X93f33/u3LlMAJSUlDz22GPvbxFABgAAfvsHmOPHj7/++uuZ/00kEnV1dZlzBvLy8rKzs5kiALjHhoaGksnk9PT09evXOzs7M28sLS199NFHPzkAyAAAwG9scHDwwoULx44dm5ycZDYAYI4oKSlZtWpVa2vrL58KTAYAAGZTOp2empoSETYaA4AvRCwWKy4uFpGcnJzf4sQtMgAAAABYcLjgAwAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAgAxgCgAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAgAwAAAAAQAYAAAAAIAMAAAAAkAEAAAAAyAAAAAAAZAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAACADAAAAAJABAAAAAMgAAAAAAGQAAAAAADIAAAAAABkAAAAAkAEAAAAAyAAAAAAAZAAAAAAAMgAAAAAAGQAAAACADAAAAABABgAAAAAgAwAAAACQAQAAAADIAAAAAABkAAAAAAAyAAAAAAAZAAAAAIAMAAAAAEAGAAAAAGQAgP+/XTtWQRgGozDaCxnz/m+a+XdwFMGKNdGcswjiUG7R+EEBAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAkAEmAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAADLABAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAADIAAACQAQAAwH9rY4zeuyEA1lFVRgDgUnHYAADAbjwUBAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAnNDuL0lsAbCCqjICAFeL8wYAAHbjoSAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAOCEdhxHEkMATFdVRgDgO+LUAQCA3XgoCAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAMBz7fGtJHYBmKiqjADApeKwAQCA3XgoCAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAkAEAAIAMAAAAZAAAACADAAAAGQAAAMgAAABABgAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAACADAAAAGQAAAAgAwAAABkAAADIAAAAQAYAAAAyAAAAZAAAACADAAAAGQAAAMgAAABABgAAADIAAACQAQAAgAwAAABkAAAAIAMAAAAZAAAAyAAAAEAGAAAAMgAAAJABAAAgAwAAABkAAADIAAAAQAYAAAC/qL3yoSSzrq+q3CQAAPis+J/9tjFG732pS1r5bppr5vd8Rsn7bQGAld0AVu6+pKkE710AAAAASUVORK5CYII=)
226
According to matrix (4) we have
1
1
1
1
4441
343231
242321
1312
=+
=++
=++
=+
pp
ppp
ppp
pp
(5)
Using the total probability and memoryless prop-
erty of Markov chains we obtain the Chapman
Kolmogorov equations
{ }
.0,4,3,2,1,
),(),(),(
nmji
nkmkpmkkpnkkp
r
rkirij
≤≤∈
++⋅+=+
∑
(6)
If it is an irreducible non periodic Markov chain
consisting of positive recurrent states then a unique
stationary state probability vector π exists
⋅=
4
3
2
1
π
π
π
π
(7)
where:
−
- is a steady state probability, k = 1,2,3,4;
and the matrix equation for vector π is given by
=
⋅
−
−
−
1
0
0
0
1111
01
01
1
4
3
2
1
2313
3212
413121
π
π
π
π
pp
pp
ppp
(8)
where:
−
jk
- is a transition probability from state j to
state k, j,k=1,2,3,4.
If the condition
0
1111
01
01
1
det
2313
3212
413121
≠⋅
−
−
−
pp
pp
ppp
(9)
is satisfied, then the solution is given by
))(())(()1)(1(
)1(
41311323124121123213322341
3223
1
ppppppppppppp
pp
−++−++−+
−
=
π
))(())(()1)(1(
41311323124121123213322341
321312
2
ppppppppppppp
−++−++−+
=
))(())(()1)(1(
41311323124121123213322341
231213
3
ppppppppppppp
ppp
−++−++−+
−−
=
π
)pp)(ppp()pp)(ppp()1pp)(p1(
1pppppppppppp
41311323124121123213322341
122132231331312312133221
4
−++−++−+
−++++
=
π
If transition probabilities are equal to p, then
;
;
;
(10)
Figure 29 Graf of tendency of stationary state changes for in-
creasing p
4 CONCLUSIONS
Vessel safety assessment carried out upon IMO
standards allows theoretical estimating of safety
without actual vessel conditions details and condi-
tion of crew. For more sophisticated cognitive mod-
eling is necessary to model numerous failure modes
or represent complex interdependencies between
human error sources, ship route, ship technical and
exploitations parameters. An alternative to repre-
senting the seaman as an element of a ship system is
to represent him as a subsystem in and of itself. It
means that the seaman should be modeled autono-
mously.
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