Copy of G.1.4.3 Spot the Equilaterals

Here is a straightedge and compass construction of a regular hexagon inscribed in a circle just before the last step of drawing the sides:[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkQAAAH+CAYAAAB9WRHUAAAgAElEQVR4AezdB7BmxZkffG20N/izXfbaa9c6VNm19q7stTeV7A32Bm/ZXnsZ0pAZghAZRM45DDlnBhAz5MwAQxhyziIIRM4IJJYgJEQQoPPVr9dnebnc8IaTz/NUTd259z3vOd3/7tP97yd+KQsJBAKBQCAQCAQCgUCg5wh8qef9j+4HAoFAIBAIBAKBQCCQBSGKSRAIBAKBQCAQCAQCvUcgCFHvp0AAEAgEAoFAIBAIBAJBiGIOBAKBQCAQCAQCgUDvEQhC1PspEAC0CYFPPvkke++997I333wze/XVV7Nnnnkm/fS7v/s8pPsI/OQnP8nef//97O23386+853vZM8991z20ksvZd/73veyd999N/voo4+6D0L0MBAoGIEgRAUDGrcLBEZBAIl5/vnns3vuuSdbtmxZdskll2TnnHNOdvrpp2cnnHBCdsQRR2QHHnhgtueee2Y77rhj9vWvfz3baqutsi222CLbbLPNsk022ST99Lu/+9x1rvc933cf93Nf9/ccz3vhhReyH/3oR6M0N64tEQFk5lvf+lZ24403ZkuXLs0uuOCCbPHixdnJJ5+cHX300dnBBx+c7bPPPtnOO++cbbPNNtnWW2+dbbnlltnmm2+ebbrppmke+L+/+Wy77bbLdtttt2z//ffPDjvssOy4447LFi1alJ111lnZRRddlF155ZXZ7bffnj355JOJWJXYtbh1INAKBIIQtWKYopFtR2Bwszv33HOzY445Jtt9990TibGZbbjhhtmCBQuyjTbaKJGdbbfdNm18iM0BBxyQHXrooWlTPOmkk7IzzzwzO//887PLL788u/baa9NPv/u7z22ervc937eBuh/S5P6e43mei0S5xmZ54YUXZjfffHP27W9/O2mg2o55E9s/SICvuOKK7LTTTkvEFcFBZr72ta9l66+/fvbVr341ERwEd6eddsr22GOPbL/99kuk6KijjvpbkmsuXXrppdnVV1+duZ8xXLJkSXbqqaemMUWIFy5cmIgUcrTDDjsksmTsN9hgg/Rv4403TiQKkUacfP+aa67JHnzwwaR9DG1TE2dStKkMBIIQlYFq3LO3CHz44YfZY489ljanmTY7ZMTGRINzyimnZJdddll21113Zc8++2zSFr344ovZyy+/nDaj1157Lfvud7+bvfHGG4mkMJF8//vfz37wgx8kExmziU3W7/7uc+Yz1/ue7zOtuZ/70kZ5jud5rudrh/bYhG3GNkjkyd8QK1oKG6TvhQyPAFPWLbfcks1EgNdbb71EVBGdnJC6/oknnhhrHtD2/fCHP0wms3feeSd76623sr/+679OZrTXX389mdZeeeWVZFqjHWRme+SRR7Lly5dnZ599doZoIcc0TDk5p4Wkbdp3332zE088Mbv44ouz+++/P8214ZGIKwOBdiAQhKgd4xStbCgCH3/8cfb0008nwkDr40SPUKy77rrphO9U7tSdk4pvfvObabOzMdEaITAITdWncM/zXM/XDu1BlrQP+dHeww8/PGmxaC5s3rQKSBITDrOOTTXkMwQQ0DvuuCP7xje+kTQ6cKOFMR9o6Zi8mKxocpgsEUxEFVlBXpBahJp/UFXC5+yDDz5IJAp5QqAR56eeeiqZ0xAgRIi2cfvtt0+aRVpGmkX9YYJ99NFHExGrqs3xnECgLASCEJWFbNy3kwh8+umn6WSNEDBL2CT48SAMNj3mKhseLZGNhZbARkN7Q5vTdKdn7dNO7dVu7dePXOuF9O26665Jk4Qg+f8ZZ5yRNCF9I0jwufvuu5MGCGGgVaP9Q4oPOuig7Lzzzsvuu+++RDRp6RBPmhuanB//+MeNfj+QMqSZxglpRvaQZlolfkcIM80iYsTM56e5zz/t8ccfD9+0Ro9uNG4mBIIQzYRM/D0Q+H8IiN7hW5Of/BEB/5gRmJxoVJg5bHrMVTY8xKlLoj/6lUe36a9+I4VMPkwrMNl7772TLxPTD9y6JIjiQw89lLQitGcIEDPjLrvskh155JHJf4ffTR7tReNDg9g1QZQQZiQJWUYKkT8mN4cCGjE+a/zZ8nejaxhEf7qJQBCibo5r9GpCBJgwbr311uz4449Pmz2nV6d+2hA+F8LdmRecnm2UVZo5JuxaIV8fDPuGAzzgAh84wQtJgh8c4dlWofEQ8cWxmX8NAmiz54P18MMPJ80Jny3alC4SoLnGjbYL+YMBE+C9996bothEN+61116JIDGvXXXVVYlAzXW/+DwQqAuBIER1IR/PbRwCTr58aETZ5FFZNAE2PuYgvh5MHn0kQHMNVk6Q4AMneMEt16TAE67whXPThT+VsHQbOY0H8xAtCH+ZXBPIB6vpJtA6cEaQkEMmRWa2O++8MxFlhBJJ5kB+0003JRNiHe2LZwYCMyEQhGgmZOLvvUGAU7TQZTle+EPI2yJXiwgcfh82vpDREYAb/OAIT7jCF87whnuThAmIb9ixxx6bNm6mMCZBGi6+VBIeBgEafcQQYJpU2iM+RvzQaBBp20RicjBHoEICgboRCEJU9wjE82tBgJmHiYfvB98X0WAigG677bbY/AoeESQCmUAq4AtneMMd/sbBeNQh2iUFgTbxCfJP7h6JEW3gTH0iv0KKQYAfGtOaZJDSEdC85X5YfqeB65r/XTHIxV2qQCAIURUoxzMag4BMwE6lNj6nVNoASe3yza8N5pzGgDlGQ+CLZMAb7vA3DsbDuBifKsTzJTHkBGxD5iBPi2VDDq1g+SOA9CCjiLBUBTRxNHLMkyL2JBxlfg0JBKpEIAhRlWjHs2pDgO8KR1gLLtONzZDJxmnVqTWkegRybYFxMB7GxfgYJ+NVhvANktU7L3Ehx46IuDCJlYH2cPecalKTt0v6AlpEJrY2O+QPh0Bc1RQEghA1ZSSiHaUgwD+BFoLvipOnHEE2P1ExfYsMKwXgAm5qHIyHcTE+xsl4GTfjV4RIgqiWG6deGinJJWmjwiRWBLrF3QNJpqFjWmVORZBp8Ti4O7yEBAJlIhCEqEx04961ICDKhRqeL4isuvwUhPzacMNBupYhGfqhxsc4GS/jZvyMo/EcJ5kh7RNTGCKkVpcit7IwI0LhID30sFR+Ib8tBCg/0DCpypLOt4vze0ggUAYCQYjKQDXuWQsCwuElUJQHh1+In/xU+CmEWayWIRn7ocbLuBm/wfE0vsZ5LuG0q9gtIiSbtpB/qQD4pYTT7lzoNedzJFj4fm7ylgVcCgdRiohzSCBQJAJBiIpEM+5VCwK0CiKVOMaqHSV3zHXXXZfy4QyzedbS6HjoUAgYP3mNjKdxNb7G2XhPp+2TRFFySBFsCpXKHcSBWmblkPYiIOElrZ7xFRGoZI5yIRdddFHKC9XenkXLm4RAEKImjUa0ZWQE1IpauHBh2igPOeSQ7Prrrw8iNDKKzf9CToyMr3FGjIy78SdIE2dpREgmaRslIiSSKaQ7CDBzymnEFIr48i+iMUKQxzGpdgeZ6EkRCAQhKgLFuEflCKihpLYY51uaABoEvgUqd4d0FwHja5yFZct8zDTqZ+5jQiMkk3Qk+uvuHNAzjvjMn9YBDvJ5TiulVEICgXERCEI0LnLxvVoQsCHyK5Hllsqcb4gNMExjtQxHbQ813hyv582bl/3mb/5m9pWvfCVlQI5IpNqGpLYHM6WJSuOELypNNCGNYUggMCoCQYhGRSyurw0BlcQPPfTQbP3118/kKlESInxDahuO2h6sPtbZZ5+dbbLJJilyTELHvffeO1uwYEGaH+ZJSL8QEJXGyRoZ2m677dK8UIYlHOj7NQ8m7W0QokkRjO+XjoANUOi00x/ziGRtcpX0sbJ46WA3+AG0Qtdcc03KI8REIoTe3OAnxIx2ySWXpM3QPDFffBbSLwTMhcceeyzlMOJnJpdVVdnP+4V0N3sbhKib49qJXnGS5BuUV57nM2STixD6TgzvSJ24//77kzM17SDTyL333pucawdvwm9IJurjjz8+W2+99dK8MX/C2XYQpe7/n+M106mDkwMU8nzBBRekQ1T3ex89nASBIESToBffLQ0BeWQk5LMBMpPJQxK1jUqDu7E3fvPNN1M+Ic7zMkxffPHFyT9kJpLD2dZ3mEtshuaPeSQZY0i/EHBwcoASpo8UyUd155139guE6O1ICAQhGgmuuLgKBGxmeWZhpRyYQ8I8VgXyzXoGU4cQ+rXWWiuZPpTfUOJjGOF8z9me6UwkmtplapaF9A8BYfp33313qpUn87m6edPlsOofMtHjqQgEIZqKSPxeGwJO9qLGFHakFbIBxsJV23DU+mB5ZZzqERlZiWUrHqf2HKd7WoG8qr2w/AjJr3Voa3m4ArIyn3PAt74cfvjhKZdRLY2JhzYWgSBEjR2afjVM/hAZiGmGRIpwmh5nA+wXat3rLVK8ePHilHhxn332SZGEkxIYmyHTyXHHHZetvfbaiWyHCa17c2eYHtEW8StT1w7Zvummm4b5WlzTEwSCEPVkoJvcTXmFaAMkWHSaj1D6Jo9WeW3LTWQcop3kneiLNJXSMtE2yWEVJrTyxrHpdxatSPss4zlzqhQOchmFBAJBiGIO1IaAvCGnnnpqcnx1eneKl08kpH8I5CYyFc2d4J3kyxDaJvmraCNthsp9TKqBKqOdcc9yEaB95ptIG40c77///tmjjz5a7kPj7o1HIAhR44eomw1Ug2qXXXZJodGXXXZZ8hHpZk+jV7MhMGgi4zf23HPPlZ51nNaJ9kkeo9xfLUxos41Sdz+jjb7rrruyvfbaK2mp5bkK6S8CQYj6O/a19FzmWARI8jz5ZJzW44Rey1DU/lAmMidzJ3QndSf2Kv3GaKFopnbaaadUC+3WW2+tHZNoQPUIDPqYSebIXBulP6ofhyY8MQhRE0ahJ21gu1ehWm4Yp/OifUR6AmMnuinRIgd6J3Mn9Lr8xsxJyRyVgmFCW7p0aSfwjU6MjgAfM4c1+a6YVJ955pnRbxLfaDUCQYhaPXztabzT+NFHH50yCF900UWl+Yi0B5H+tvT2229PGsIDDjgg+Y05odcpuT/JSSedlOYnJ9uQfiJAW33PPfdkX//615M5X0LYkP4gEISoP2NdW09pgpjHqKMlWhw2uV5tDY4Hl4bADTfckEmOd+SRRyYNYWkPGuPG/JloMIXmn3zyyYVGuI3RnPhKTQgg6Ez5NEWiX2+77baaWhKPrRqBIERVI96z573wwgvJeZo5wmYYiRZ7NgEGuqu2FCdmZEOeqSYKTSZ/JtmxmdHqMuU1EZs+tYnjvbVr++23TwTe3A3pPgJBiLo/xrX18Iknnsi22mqrTB2qBx54oPToodo6Gg+eEwFmKL5jMpHTxDRZkCAb4IIFC7Lddtstkx4ipJ8IvPTSS+lAZ+5K0RDSbQSCEHV7fGvrnczTW2yxRbbJJpsk58QiE+zV1ql48MgIqDx+zDHHJDOUwqxtKdCrMKjUEDZC/iRPP/30yH2PL3QDgZdffjkljV1nnXVSMEg3ehW9mA6BIETToRJ/mwgBTokiiGQEllcmpJ8IMI/KPj5//vxMNvK2+Y4h8YgQDae5/NBDD/VzIKPXqVDwwoULszXXXDMR/ICkmwgEIermuNbWK7lc5BhSK0g4c0g/EeAjJOv0vHnzUpV5Gpe2ijIPtEQcbO+44462diPaPSECgkNOOOGERPBFSIZ0D4EgRN0b09p6dPPNNycHRBFlbO8h/UTA2G+77bbZX/3VX2XyDdUdVl/EKHCw3W+//ZK26JZbbinilnGPFiIgVxGn+5VWWinbeeedW9iDaPJsCAQhmg2d+GxoBOTrEE59xBFHNC6ceuhOxIUTI6BIJm0KMvTYY49lfIi6IpyrzW/zXJbtkH4iwOleAk9zXCRiSHcQCELUnbGsrSf8hPgMKcOg/EJIPxH44IMPkpnMRtHVMhjmN78o5UYUIw7pJwL8484999xslVVWSbmr+olC93odhKh7Y1ppj0RgCK2nPo7w5Eqhb9zDEGJk6NJLL+2EmWwmgBEhWjD/mFBC+okATdGpp56aHK2j5Es35kAQom6MYy29UADRpiACJ3yGahmCxjz02GOPTX4VixYt6kWxXgEDQvIVhn333XcbMw7RkGoRkFPrqKOOSiVflKQJaTcCQYjaPX61td5CIJJMOY4ogljbMDTiwd/4xjdS5M0hhxyS8SHqizz44IPZyiuvnPxIuuA43pdxK7qfIipFnUnPIIggpL0IBCFq79jV1nInYpFkq6++eloAFMcM6ScCCvUqc6E6OI1hn0Seouuuuy5bddVVszPPPLNPXY++TkGAu8Cuu+6aUjOEw/0UcFr0axCiFg1WE5oqn8yJJ56YnAmXL1+e/fjHP25Cs6INNSBw7bXXpvIWNoJXX321hhbU/8j3338/lXRQEFYm7pD+IiC4ZOutt04Z+p966qn+AtHingchavHgVd105Oe0007L1lhjjYxmwGYQ0k8EJChUqHW77bbrvf8Yjekpp5ySyOGVV17ZzwkRvc5oyqUfUchaUtLwq2zfpAhC1L4xq63FZ511VjKP8BlpWxmG2kDr4IPVqZONXK06BXxDslSw9tBDD02O1tdff31A0lMEHBpvvPHGVLsv0pC0bxIEIWrfmNXS4muuuSa95KKJ+uQ4WwvYDX4oPyGRVU7B9957b6cSL04KO2z22GOPhE3UPZsUzfZ+n1vBJZdcknzLTjrppPZ2pIctD0LUw0EftcsWd+aRvffeOxNREdJfBCzwktEp1vrhhx/2F4gZek5jtskmmyTS2Dcn8xkg6eWfmVG9K4rBOkyGtAOBIETtGKfaWplrBGSiVvk7pL8IWNgt8PxlfvjDH/YXiFl6nkeezZ8/P22Is1waH3UcAUk799lnn3SYDI1hOwY7CFE7xqm2VjrlrLbaahm/iC7VpaoN0JY+ONcSKnAa2ZlnH0RkUYJK6QhCOzA7Vl3/VI42vnbMzKExbP5oByFq/hjV1kKLuUX99NNPz9TuCeknArmWUEZyGZpD5kZA4lLJ+piaQzswN15dvcIh8qabbkqa1fAnav4oByFq/hjV0sJcI7Bw4cIUQVNLI+KhjUDAQo4Y33LLLdmnn37aiDa1oREvvvhiyksT2oE2jFZ5beRkLXFnaAzLw7ioOwchKgrJDt0n1whss802UdG7Q+M6TldyLeGSJUsyC3vI8AjIS3Pbbbdl66yzTvgTDQ9bJ68UmXvQQQeFxrDhoxuEqOEDVEfzaAQWLFiQ3XnnnSnZWB1tiGfWj0CuJZRfJ1ItjDcekpeec845oR0YD75OfUt5j2233Tb8iRo8qkGIGjw4dTQt1wicd9552QcffFBHE+KZDUAg1xJuv/322WuvvdaAFrW3CW+//XYqABv+RO0dw6Jafvfdd6fkneFPVBSixd4nCFGxeLb6brlG4IgjjsjeeeedVvclGj8ZAhbsDTbYILvvvvsmu1F8OyGAVO64446hHej5fHDIvPDCC0Nj2NB5EISooQNTdbP4h0i8aNGO8NCq0W/W8/i9cABVrDSSLxY3Ng888EAimYsXLy7upnGn1iHgsHnkkUemjObPPvts69rf5QYHIery6I7Qt6uuuiqlmr/55ptH+FZc2jUE3njjjYwzvYRy3//+97vWvVr7g1yeccYZ2brrrps98sgjtbYlHl4vAq+88krKaK4UUkhzEAhC1JyxqK0lL7zwQjqtCLGPfEO1DUMjHnzuueemmnWRO6ec4ZDUkmOtHEWhfSsH4zbcVfoK9c5kfr/rrrva0ORetDEIUS+GefZO8hdZe+21s8cee2z2C+PTTiPw+OOPZ+utt14qzRGbdXlDLeu77O/Lly8v7yFx58YjwHSmGDA3BY73IfUjEISo/jGotQWcZpGhU089Nfvoo49qbUs8vD4EnFgPOeSQbKuttooCviUPg9IetLGKwL766qslPy1u32QE7r333qQluuiii5rczN60LQhRb4b6ix21MO++++6Zkgx8R0L6iwDfsdVXXz1btmxZf0GosOdPPvlkCr9WFiekvwjIU3XcccelufDUU0/1F4iG9DwIUUMGoo5mXHHFFcmReunSpXU8Pp7ZEAS++93vJs3Qvvvum7377rsNaVW3m/HjH/84E23GwTr8tbo91nP1TsLGzTbbLDvqqKPmujQ+LxmBIEQlA9zU2yvSKVEcDVFEEzV1lKpp11lnnRWRT9VA/bmncLCW+BIRpSkI6ScCSrxcdtllyXSmOkBIfQgEIaoP+1qffMIJJ2QrrbRSJnNqSH8R+Na3vpXKtCxatCh8yGqYBjfeeGM2f/78TIb4kP4iwMF6r732SgT5zTff7C8QNfc8CFHNA1DH4znycaSWHCxOpnWMQDOe+fHHH6eCk1//+tfDh6ymIeHHd/DBB2df+9rXspdeeqmmVsRjm4DA/fffn9blCy64oAnN6WUbghD1bNgtwLvuumsylzGbhfQXAdoJjtTXXnttf0FoQM+ffvrplMGali6kvwgo60Fzv/7662fhYF3PPAhCVA/utT31hhtuyFZZZZVsyZIl2SeffFJbO+LB9SKgVMsOO+yQMlL/4Ac/qLcxPX86TR0H63XWWSd75plneo5Gv7svwGHjjTfOTj755H4DUVPvgxDVBHwdj3UC2XnnnZN6PsLs6xiB5jxTmD1ifPvttzenUT1uifeR2Sy0RD2eBP+v69/4xjdSkMNzzz0XYFSMQBCiigGv83GKdtoEzzzzzExkQ0g/EZCAU3ThLrvskjGhhtSPgPfRe7lgwYJMKZ2Q/iLw8ssvp3mg7l1ItQgEIaoW79qeRi0viuGrX/1q9tprr9XWjnhw/QgI7RXZdN1119XfmGjB3yLgvfR+MmeH9BcBrgx8iZBj5CikOgSCEFWHda1PEllmE5QZN7RDtQ5FrQ839vLebLfddpGEsdaR+OLDjY33k1NtlPT4Ij59+gunagEP55xzTp+6XXtfgxDVPgTVNODAAw9MC+0rr7xSzQPjKY1E4IEHHkiFRS+//PJGtq/vjfJ+IkQRet3vmSCT+eGHH56iD19//fV+g1Fh74MQVQh2XY9SGsBpQwFXRTxD+ouAnDebb755VNdu6BTwfnpPN9pooyiy29AxqqpZ1m3Jcy+++OKqHtn75wQh6sEUOOyww5I9+sUXX+xBb6OLMyHwyCOPZGussUZ27rnnznRJ/L0BCHhP11tvvVTOoQHNiSbUhICo4P322y/bZJNNMmVeQspHIAhR+RjX+oTHHnss1cg56aSTIu9QrSNR/8NlJue0+73vfa/+xkQLZkSAU633lSbvrbfemvG6+KD7CAiAmDdvXqYQd0j5CAQhKh/jWp9wzDHHpIRvkdOi1mGo/eHf/va3s7XWWis77bTTwqm+9tGYuwHeV1qiZcuWzX1xXNFZBN57771st912y7baaqtMvbOQchEIQlQuvrXe/cknn0y1cY4//vhM2H1IfxEQxrvuuutmYTZtxxzwvnpvt91224gGbMeQldZK1QVWXHHFKLFTGsKf3TgI0WdYdO5/tAGcqaMuTueGdqQOyWWiLMSxxx4bxHgk5Oq92Htr3CRUDekvAu+++24ixqoMRLmlcudBEKJy8a3t7t///veTvwinPCGcIf1F4NJLL83+6q/+KnvwwQf7C0ILe+699f4ecsghLWx9NLlIBM4///xs1VVXzfiEhpSHQBCi8rCt9c5OlZzxIhtxrcNQ+8Ml+3Oy3GabbTIFXUPahYD3l+9X5A9r17gV3VrlXPLEukXfO+73GQJBiD7DolP/E2q/wQYbhCNep0Z19M5wpraQRsbb0bFrwjc40nqPly5d2oTmRBtqQoC2cJ999sk23njj7Ac/+EFNrej+Y4MQdXCMv/Od7yRnahFmIf1GQOVsBX2fffbZfgPR4t57j0UahfQbgWuuuSZp/YXih5SDQBCicnCt9a5XXnll8hm55557am1HPLxeBFSy33TTTbM999wz/MjqHYqJnu49puWL4IiJYGz9l99+++1U1kU+sZByEAhCVA6utd51jz32SHkr5LAI6S8Cd999dwrXveqqq/oLQgd67j2Wh2bJkiUd6E10YRIEjjrqqKT9f+211ya5TXx3BgSCEM0ATFv//Mwzz6TinWeeeWZbuxDtLggBppYFCxZE2v+C8KzzNt7nLbbYIhzj6xyEBjybuUzE6NVXX92A1nSvCUGIOjamnGcl8XriiSc61rPozigIKM8hh42K2SLNQtqNgPdZ2PV9993X7o5E6ydCgBlcSZe99957ovvEl6dHIAjR9Li08q+KAVKt77LLLtmHH37Yyj5Eo4tBQLi2k+Ttt99ezA3jLrUi4H32Xh933HG1tiMeXj8Cp59+ekq4G4ESxY9FEKLiMa3tjg888EC28sorR5Xs2kagOQ/ed999s8022yxCdJszJBO35LLLLkvlV954442J7xU3aC8Cjz/+eLbCCitk5513Xns70dCWByFq6MCM0yz1qtZee+0sHO7GQa8733n++eezNdZYI1u0aFF3OhU9Se+19/v6668PNHqMAEvATjvtlJKthiWg2IkQhKhYPGu7m3o3HGgPOuig7NNPP62tHfHg+hG4+OKLk7ns0Ucfrb8x0YLCEPBee78POOCAwu4ZN2onApdcckmyBsQ7Xuz4BSEqFs/a7vbQQw9F9EFt6DfrwcxlHC/ff//9ZjUsWjMxAsuWLcvWXHPNTK3CkP4iQAscZrPixz8IUfGY1nLHc889N70gL774Yi3Pj4c2AwGaQhtmON82YzyKbgVH2ijUWzSq7bvfRx99lA49e+21V/sa3+AWByFq8OCM0jTZiOUp8aKE9BeBhx9+OG2YN954Y39B6HDP+YxstNFG2dlnn93hXkbXhkHg2GOPTb6CoS0cBq3hrglCNBxOjb7KC8GJ1gsS0m8Ezj///FTv6PXXX+83EB3uPT+i3XffvcM9jK4Ng8Dy5cvT4ef+++8f5vK4ZggEghANAVLTL9de3YYAACAASURBVJGsjRr9hhtuaHpTo30lI0CFvs0222SffPJJyU+K29eFAIfa1VdfPfyI6hqAhjzXoUcS3sWLFzekRe1vRhCi9o9hpqK5F0N24pD+IsB/iKbwtNNO6y8IPei5rNUOQJG1ugeDPUsXHXq23HLLlLBzlsvioxEQCEI0AlhNvVROChmqI9y+qSNUTbty/yFFXUO6i4DowXXXXTcdhLrby+jZMAgcf/zxqXZl+BENg9bc1wQhmhujRl/hRVhttdWyk046qdHtjMaVj4BIQ5nKY3EsH+u6n8A0uuOOO9bdjHh+zQjcdtttoS0scAyCEBUIZh23yv2H7rjjjjoeH89sEAJqXW2//fZRzLVBY1JWU5RtcBAK8lsWwu24r/F3CDrjjDPa0eCGtzIIUcMHaK7meRG8EPxHQvqLgPG3QZ555pn9BaFHPZehOPyIejTgs3RVEIWDUMjkCAQhmhzDWu+w7bbbZtttt12tbYiH14/Agw8+mDbIb37zm/U3JlpQOgI/+tGPUqRZaAZKh7rxDzj99NOz+fPnh7awgJEKQlQAiHXdgrp01VVXDa1AXQPQoOfSDJkL7733XoNaFU0pEwEmUgeikH4jkB+GIupw8nkQhGhyDGu7wyOPPJK0Ag888EBtbYgHNwOB3H+oGa2JVlSBQE6CaYtC+ouAQxC3ichePvkcCEI0OYa13eHqq69OhCjyD9U2BI15cNQva8xQVNaQW265Jb3/Cn2G9BuBTTbZJDvwwAP7DUIBvQ9CVACIdd2C7ZiZ5Mc//nFdTYjnNgCBt99+OxX2veyyyxrQmmhCVQjkhV6FXof0G4H9998/22yzzfoNQgG9D0JUAIh13cKJYNNNN63r8fHchiDwrW99K2kKoqZRQwakomZ88MEHiQjLPxXSbwRUK1hllVWiuPeE0yAI0YQA1vl12an32WefOpsQz24AAtdcc00iRFHQtQGDUXETNtxww+zQQw+t+KnxuKYhcP3116c14JVXXmla01rVniBErRquzxr7k5/8JIVannLKKZ/9Mf7XSwQWLVqUchCF6bR/wy9j9dZbb92/jkePP4dAXt8uyvZ8DpaRfwlCNDJkzfgCvxGJ2ZYuXdqMBkUrakNg7733TrXsamtAPLg2BE499dR0MIo6hrUNQSMe/MMf/jDtBxdffHEj2tPWRgQhaunIPf744+kF6FPuCRoQIaZvvfVW9tprr2XUw2+88UZKSMafgtasj/LVr341O+SQQ3rTdeNsvOXhMv7mgflgXpgfH3/8cW+wWLZsWVoH+hpp+tFHH2U/+MEPsjfffDP7zne+k/75v7/5rC/inVDw9+ijj+5Ll0vpZxCiUmAt/6Y33nhjWghffvnl8h9W0hOUm3jhhRcyicWEEC9fvjy78sorM6ecc845J1XzPvnkk7Njjjkm+UksXLgw22+//TIakT322CPbbbfdsj333DPbd999swMOOCA76KCDsiOOOCJTAZoZacmSJdkFF1yQXX755ZkUBTBT8+3b3/52ZgP55JNPSupZdbeVg2allVZKeFX31GKfhOh+97vfTeNifIyT8TJuxs84Gk/janyNs/E27sbfPDAfzAvRNubJYYcdlh177LEZkzKHU47Hl156aXbVVVdl/C1EZil/8eqrr2aqx7dV8lxk3qEuyHRrwhVXXJFddNFFaY7LzK2QtY3fIUBgiTWB6XD33XdP//zf33zmmqOOOio78cQTM1G5Z511VnbhhRcmzfq1116b3XTTTdk999yTPf3004lQtxlDuch22GGHNneh9rYHIap9CMZrgCRc8+bNyz788MPxblDRt6ZudhY3G5SNzYbmJf7617+ebbHFFskXQhkSVbx33XXXtMlxGrfJ2QQPP/zw7LjjjsuYCRYvXvy3C6TFbnCBdN98gdx5551TnR/1fjihe45Fw0Zq47S4WiBtwg899FCGYLYp2/Nzzz2XiPGtt95a0YiO/5jBzQ75Pf/889NGZRyMh3HJ54EMzOaB+WGjQ3Zscq7lRGy8jZ0NEnk2H8wL88M8MV/MG/PHvc2nnXbaKZW5Md+23HLL9H9kynVIt80SEWvTBkkr1jbT+bBrgjHK63R5j6cegA4++ODsyCOPzE444YTstNNOS8QZefZ/f/OZaxCjqWuCuWaOWRP8MzfMMdebR5dcckl28803t4o0OzCsscYa47+g8c0sCFFLJ4FFf4MNNmhU6/k1OXU7gTvZ27AGNzuLkM3Nxmbh8bmq3aKkaAZsRELH1eNyH2bBp556KpNv5cUXX/xb0wgziWe98847SVVOu0Bd/tJLL2WS1DntcTJ87LHHsocffjhpoO69997srrvuSoucfD1ImZOj9lkIbbwWyOk2SG1qagQXImRDRIyaIjRvxsuYDhJg446YDM4DJ3gkBhmhHbz99tszjqFMwbQeNCDG0Xg+88wzaXyRVuNt3JlHzAPzwbzITameb96YP+aR+WReGUvzTNvMO/PPPKRRonVCnmyO/iFT2kc7lW+Q7tekzNCwXmuttRIBaMr4D7YDYZttTfDeef+8h9Y0WNMGWUPuvPPONFYy8TusSC9Bu+v9Nt+NMQ2fd/Ov//qv0xwwD/zf33xmTXBtvia4x1xrAjKNQJmriqZas8wNGkcHUaTZPDL/miQ0qiussELCoUntalNbghC1abQG2mpT8cLWKTYfCwOC4URmA6HhsXjkJot8gbvhhhvS4mYxevLJJ9NiZkGhNajS1s/51IZmobZg2jRtuBZdm6RN2eZsk6SFoI2wSfpHq0WbZMO2GFfZ7pnGmXaEppBPTV1Co2ZMadloamwo5qZNxSZnI3HqRj6YKRBT5MTmhsCaR0hN1X0wfuafeWg89cH8RJjMVxvzoKnOpo0omd/+ri/mDlJWp9i0614L8v57pxw+EEhE15qA9DgA5aYrhxFrBjM54oswISyILjLDQbhKP7Bh14RB832+JugTE78+82Wr0wxvDXM4gmfIeAgEIRoPt9q/tfbaa6eNpqqG5Kd+m5kFwGLHb0PIrwXPSZq6msai7gVuEkxsyjZnJ0ybtU0b6UOULIgWdv21AdkgERILu83U5lq1wJ1TdZXiFO6kfd111yVNG5NTbuZEhpAfnyE9Ofnls1U1+Z0EExuyjdkGbaO2YZvXfI+MObJss0dGaDgQaHPEpoQUVBn1ZVPmUFu18L2itYMJjbB20KbQtDJZw8gBwpqBODp8wMZhxKGkSowmwWa6NQGRM97G3Zxn0tN3ByhYOFzpb5X+aYg9QkSDFTIeAkGIxsOt1m+xwdMKWJjLFJuYF9uiZrFjTmLXt/nZBPONjzobebBRdjXSy6JowbHB5ydgfidwsCnSHDAJKbhJc8DEU8UpFzmzGJcp5htiqF98dmh+9Nk80GcaIKYxxBFxYLrynS6K+Y0w0yjRJjHt0HjQiDog8E/yEyYODt6fsiPAaDStB1VoJwRBcES29uREwJpgbXBYcChi9kQeEUnRXl0Va4KDk3ed1jgnhd4Pvk/ezfzQBDPYlSlV7Qtl9qHuewchqnsExni+cGMnAZtQ0eJU7GSPBDnlcXJlBnMK5rzsmT53+unyxjcXrsxETD35YsgcZFN0SsxJIzMi0ws/hrLEwouUlCFILudnzppMtPk8cPJnTnJKRhDhYHPooyC9NB42OwcDUWwi24wJ0uj98R55n7w33q+iRfSc9aAs3ybvOS0PcyjNqHJB+aFI5BZSyNcLBl0+FM01bsgfDRifNVpjeCFEDiwwgx3yjDAiUmXI/Pnzk1N5Gffuwz2DELVwlG1AFkCbbRFCdc1Z1GLOBGOTddK1qNvoObc6+dOQ9HXjmwtn5iAnYqYBvjTIkBOiKtROz07ONhUmmCJFQUdjVpSYW0wgFm7tR+6QYZohmjEEkENzGRt7UX2o8z6iPhEIpiTvjffHe+R98l4ZK++Z960ok1Gei4jmqihB+BE8xNf4mwcIHp8wzru0Ywgz/6kqNKFF9auq+9DWIYdIIrIIM9jlJJkPkrnBxFrkuK2zzjrp4FpVP7v2nCBELRxR2hmEaNI07ZwAqXKdaJl8Nt9886Tud+pz+rfg1eEX08Ih+VyTqa6RRydFzqM0RxbCnFwwpdhQijjRq2XFnDmJWLiNtwXaQm0eONUyCfIFsnnX7Tg8Sf/q/K73x3sEX+8Vcxp8vW/eO++f93AScTCyHphzkwhzoLFGsMxZvkD5wUgeJ3NWW4uYt5O0s43fhRnsYAhLJFm4P3yZ3a0T/PImPXDyJ5x0PWgjvkW1OQhRUUhWeB/2eQugk8eoQr3vpC98lHmHKtfmx0maeYQJhBajq75Ao+I16fUWQpojp22Yc8TliM78JGpN6Ddtwrgy7omQs6d5ZCG2IFuYtUsEFfOOz2iCmp7nalzcqv6e98l75f3ynnnfclOK99Dc8F56P0cVJhjrwbimWWYeOXdEzmkTwqZN8vmIuBO2zkwfUgwCsIQpbGFME7vxxhunQxNztDXBoXccMXZ8uULGQyAI0Xi41fotL5IFcJSN1KLnRePwl2/I1PfCY51MmEqaEEZeK7AlPzxfCJnOOKQzpeXaGM7YfExGNT/wGaB5GFZoLGygtD+0VhZivg3uwSmair/LjrDD4lTmdd4z75v3zvvnPUSQvZfeT++p93VYoX2yHjBrjyK0QbSVtFZMr7RWuVYwDkajIDnetYMkmSYW9ubB1772tUSS+CA5SI1iWqXVM4dCxkMgCNF4uNX6LWp2C6AT/FwiGkZ4qEXP5ucnfxabrxNlm7Iyz9XXtnxugeNnwh/H5mchtJDxMUGUbHCzqc5pnDiyIjG/8Ru/kUiVaKbZxpKfgpQI/Bg4+vrnuSLHbH5hEqtn9hgz76H30Xs5+J56b72/s4m5IiPzb/7mb6aN0HjS7s0mTLmyhCNA5oFoMb5CcTCaDbVyPxskycbCmCBG1gX+e/zRhjks0TbR7oWMh0AQovFwq/VbnDIRotnU2FSuzCFeDkRIpIvToFMkn5GQZiDAJIXY2hA5Yud+G/5PkzTVedmmRSv0e7/3e9mv//qvZ3/n7/yd7Nd+7dey//pf/2syf9LyDAoTjIgX+VFoo/gxubfnhUlsEKn6/++99H56T72v3lvvr/d4qgkFwWV+/eM//uM0D37hF34h+1f/6l9lv/u7v5v96Z/+aTLJDfaINoKJnWlOhBgiRDMlAADpmjrPBr8b/68WAWNhTIyNMTIPHJaY17zfs5mxzRsRoSHjIRCEaDzcav0WHw+EaLpcL9TgThi5XdqiaUFlXptNg1Brh+LhCQGhuFTkkr0hRpwuOUiK+rIBSrhms/v5n//57Etf+tIX/v3SL/1S2iBpi/ir0CQ6aTKHuJf7un9ZIb8xjMUg4D31vnpvvb82RO+z99r7jTituOKK2a/8yq98bg781E/91N/+jhytueaaaY2gXWCSzSOcOEwjyTRTYSYvZszKuIuxMUbGypiJWOXrJ0Esf7PptMjqtnnXQ8ZDIAjReLjV+i2L2yqrrPI5x2fh3rka3AIqikHOICfLiAqpdbhGfrhoIdEoopAQI5odJ7/f+Z3f+dsNbzpClP+Ntki0GId5finu436TRiGN3JH4wkQIeG+9v95j77P3mplLJFE+1nP95B9Gu0AjxLTGf4zJdbrD1ESNjS+XhoCxMmbGzhg64HivaXpFGg+u70ziiFPIeAgEIRoPt1q/5aQvuogwoVCDU5NaMEUMCZsVxVBl2vhaAenow2U4ZubgV/Tbv/3bQ2+CNAVMJ77n+2VnSu4o/I3plvfY++y9phmiCZyLCOWf/6N/9I8SqbZxCvsexg+lMR2PhnwOAWNnDI0lzXGu+ZUVXSFcn4teXH/99T/3vfhleASCEA2PVWOuFK6tlplkX4gQ5zuqUg6Vcp5Mp0ptTOOjISMjwAH7V3/1V4feBBGif/bP/lly3B75YfGFxiLgvVbN/Od+7ueGnguIkQPUKJFKjQUgGpYQMJaiEDnUC4zIfQNZDmgSmUpDxkMgCNF4uNX2LQ51G220UfaVr3wl22CDDZKPgZBN4dKzOdvV1uB48MQI8PmZyW8o1wRM/en6UUK3J25k3KASBL785S9nP/MzPzMSIaI1COkeAhzlBUbwEXNIdjD+y7/8y+wP//AP4zA05nAHIRoTuDq+JlxWpMHv//7vJ5OIAoucL4MI1TEa1T1T5NFUwjPM7wqyhnQLgX/+z//5yHPBZhnSbQSY0lgImFQ51AumkK8uNIOjjXsQotHwquVqGgKOlcJlRRCobL3WWmvNGnZfS0PjoaUgIFHiL/7iL460EfIzmS0tQykNjZuWjsCf/MmfZD/90z890lwYJXFn6R2IB5SGAJMqIsR6IKKQ4zX/0lETdpbWwBbcOAhRgwdJdIEQanZhEUNSsnOo4zjNbBbSHwR+67d+a+hN0IbJCTukewiIIBoMrx9GU7h06dLuARE9mhYB/mKrrbZaCrYRhYYUSdkgAWwkX50Wss/9MQjR5+Bozi+yGKs4LpGeEg9ykkjWpYqyMGoaopDuI0A7JEHbf//v/31oQmTD/PM///P0vSjD0Z05wolWMd+/+3f/7tBz4R/+w3+YDlLWk5DuI8DJ2hwhLAtC9QXccLyWy8gcCpkZgSBEM2NTyycIjw1QkUU5R6Rtt5gNJlU866yzkq2YU11IdxHgH+aUhxTvvffe2RprrDHURkh7qJ5RnpV6apbj7iLWzZ452at5JimfnEIiS4fRDLnGPLAZWk+sK9aXkO4iICO9cPxchOILuDF/lIUxh2RCF7ka8kUEghB9EZPa/mKSXnDBBck8hs1LpjedmtPklqk6wutrG6rSH8w0KqkevzEZiqVT4FRP/c0/iFks9yXxU+SRnDM2TETK9b5n86RhjJNh6UNWygP4f6iAvt5666UTvjVBkj45pv7bf/tviRj97M/+bPpJM5j/X3kXBydFZGU6thkyu1tfYjMsZagacVPuFEjPVFEOxMF60aJFyYwmgWNoDaeilGVBiL6ISS1/MTlNUtWO5ZOw6M0k7MEIkTpVId1CgIlLUU+2f6d7iRUH60xRg4saohb/i7/4i+yXf/mXU8ShTMQcKAfnje8p1SHLtUVSFEqQ6PbMF6QYAXbin7om8C9U6848+bM/+7Ps7//9v5/mgfxktEEStubiWiU/ECtZrmMzzJHp3k/El2VhJlHSxzpgXrlOWaCQzxAIQvQZFrX9T5ZRi5hyC05zcxEdVcsRosHNr7bGx4MLQ0A2YnWKRBIylc1k6lLXzAanntEf/dEfJad7GqHp6lIxq+ZaBqaTxYsXp9wlhTU6blQ4AkoxqFuH7Ni0ZlsT1Lo699xzU3FfP2kRaYWmE3mplPcxv6w31p2QbiFgvthHZhOZzxHmhQsXppIu/FPn2nNmu1+XPgtCVONo5toACxQTmbwx021qU5uo4jFC9OSTT079KH5vKQJMWkxbFjQZyGmChpHVV189qcHnulYCNxsmDeQBBxyQPfroo3N9JT6vAQGHHGHy/MCGXRPkm7EezESgB7shFYPrd99990SMaCPD8X4QoXb/nyaY2WwY4VvE9Oo7tIcOWX2XIEQ1zQARY6LFnNREk42i7XEKtAB+85vfrKn18diiEOAsr0aVRYmJjI/IoIlsrucsWLAgO/744+e6LH1uM5TGwWbIt4jmIaQ5CBh71e1phkZZE3KNseR8wwjH6tyExq/IOmQ9Cmk/AsaTY/Wwwp+MCY2/IjNa37WGQYiGnTkFXofIUGvaAG+++eaR1ZWYPUJkcwtpLwLGMXdyZCLjDD2q0CSMkolY1AlNpEWTCS3U5aMiXvz1sgnfdNNNKZmeTWnUNWH58uVpPRjVWZoJ7bzzzkvFX61HccAqfmyrvqNyTkLvR5HchCY8n7VC3ipm+T5KEKIKR50/x/XXX5/MFsOqw6drnurlCJEaZiHtROCBBx5IkT80hEjJsCayqb3lTC077ajC94RpZtttt81Uyx6HjI36zLj+iwiIIhUNyHEaSR3WbD54J2Yv68G77747+Oeh/k9ryHmbMy5zqvUpQvOHgq6RF8lPxw9xHOGHyIQmUpXWuY9rQhCicWbOGN8R3cM3hLmCOtyGNK4wqVgAbaQh7UOAZg8RYR4Z1UQ2tbc2MfcZR2zGtAvU5f5pS0h1CHB+tvEYw0nWBHllrAfjRhAiQPwRjzrqqBSaL63HYN6z6hCJJ02KwCqrrJJy1417H1pGUcz8Ga0Jolz7JEGIKhhtJzcOrdTStDqTevRbwFZaaaUUiltB8+MRBSLAb0fCRBrCIk5g+cl+3CbaRDlYM9XwKxLKHVI+Anx2RPkgQ5OuCZK3Wg8mLeTJhEZDoGo67eGoJrjyUYsnzIYA09cKK6yQck3Ndt1cn7mPNUGAhzWhTznMghDNNTsm/FzeB/Vl+AvZbEy2IkQemlGc54p4ZtxjMgRuuOGG5Ldz3HHHjeREP9tTmbuKKOPCVCNfER8C7QwpDwFpEBBZSTeLWBMQKySmCEGCpGaQr4hv2iSa7CLaE/cYHoHct5Q/WhEieIemiAmN434fJAhRiaMs1FmIszBIjJtDa1FiojpdhrQDAZFkCnOedtppY/sLTddT5g2nwiKcIG3U5qt2XnHFFdM9Lv42IQKPPfZYMkV4f4taEzjHO3AVJTTY/Jo46CLJkd6jKGTLvY+6ZUyn3uOixNibA3wV++CzGoSoqJkz5T7YOt8OlerLSJFOM7DmmmtOeWr82jQEkGDJ8Jy4ZZKmMSxS8hw0NtoiRHJImkcaSBFIIcUhIIqLGQJ5KWpNkLds1VVXTUS7uJZmyUHbBqhkCHOqjOchzUbA+4oQSexZpEjRYB/beOONUwRakfdu2r2CEJUwIiYQf6GDDz54qGRp4zThwgsvTJqBSKo2DnrVfId/jhwvTtocX0X0FC1yz1gE5RIpSphJmHmVgeBLUqRms6g2tu0+QulpdIteE/j9GH+OsEXLhx9+mCLQkOPtt98+/MuKBrjg+/FLXLBgQcF3/ZvbSfrpoGQtUw+vqxKEqOCRVU6Bd76IjTKTnalBYyEswjG3YAjidlmWkitaoNZff/1EVoo+teUg0xCILGGKK1KkdnDiXGONNVJekyDe46MrGlRYfRlrQq4hZH4rS6xpzKgSRt54441lPSbuOyECkrvae8oSB6UTTzwxW2eddZKfWVnPqfO+QYgKRJ+KOc/hMGzW2HEfz06MEEVxvnERLO97zGKHHHJIOq2x6yuuWabITlukD0neViSI5gEpotlAkkJGQ0BRVqRYeH0ZawIfMuvA22+/PVrDRrxauSCEyFy76qqrRvx2XF42AiIMV1tttVQDscxnffe7382WLFmSKRlE+901CUJU0IhamNhYZR4eN8neKE2xWVkImc5CmoOA3DIck0X9VBXCnj+vDBSkeBBhwpdEcECQouFRVh/KJlXmmpBHGVaRTFGeKnnU+MNdeumlwwMRV5aOgEOY/UCuu7JFAAet58orr5xqoJX9vCrvH4SoALRVpma7lQ+kaKfZmZrnRMCpetQ07TPdL/4+OQISHdLUKKdRZe4OSf0sTkWldJgOCdmMEX6kqCzz33TPbevf5POxQZW9JnDS5t9TlYg6MgcQ5KLCu6tqe5efw+ndfJMBvwrhHyk9h2fyM+yKBCGacCQl2rMBOqlNmnBx1KYwz5VpMx61PX2+XvJNtYCQ1CrJEMzzWlYiG8sUZhPmn8MPPzwcrWcB+pxzzkl+XVWsCXJQHXnkkbO0pviPRCIKGuEX9eCDDxb/gLjjyAjk5VuqsE4MNs5z58+f3xlH6yBEg6M74v85G8oBYiOUc6hq4dfB6z+kXgRE49iUmEf4DFUtkio6qVXxbJoi0Wd8Y0K+iABTApJSxZrAdFFEZuIv9mLuv9AU5dqpCOyYG6+yrxAVav0p219xaj88j9sGR2uWkrZLEKIxR1BUB69+OTqcmOoQm5KU/WWaSuroV5ueqWAv84hcMEWGvo+CAe0UQlRV3iCRRkwmkbzx86MkqIIGrao1Qe4p437nnXd+viEV/SaTMS01v6LIaF0R6DM8xhgoCVSHMKFztGYpaXuQTxCiMWaQE5G0+2z3Tud1iQ3Ygvjyyy/X1YTeP5d5xMlMbo6qT2c5+EiZE5ow/yqEA+/SpUtT8sa+pPSfC1cFe/lYVbkm5O9/mek95uq34p+05HvvvXcmAimkHgQcUA466KB6Hp5lKceag6GM1lW7DBTZ6SBEI6IpEZpU5rRDZeb+GKZZ3/rWtxIh4scUUj0CuXlE+GndeXr4kskVU5XQSsq8bQGUC6fPIgO1GnBVrwlywtBMjlvlvqgx4zpAO8CEX7UfZVF9aPN91J9bccUVM4ezOkVAkSCfbbfdtrWZzYMQjTCDvOx8Ragmm5DK3iZMOyHHSUi1CMjP41QmtLoJVcGprJlPq2wLU52EkIgAUtBH4UtDK0RLUvWagITx46lbRLwyo/JnlGLghz/8Yd1N6tXzZUFnKWiCgztfWjnYvBN1KwzGmQRBiIZEzYlYCK3Fv6rQxmGaVrVmYJg2df0aC5ATsWgrGsMmCNOFRbFqbaFUAwi5BZDGsk/CVC3aimau6jVBIkYZyuvWCuTjLbCAGdV7wZdNBvWQahCQAd3BuClElAlX+hFkvU6XknHQD0I0JGoSkVEFyr3QJFE4lGYg7PfVjIooK9oA9vomOZK+9957KeT/uOOOqwaIgacI9eW/tPPOOxdaaXvgEY37LyJIWywBZx1rghQICHCTTuE01ggaUoQchVSDALyboCkc7C0/W4d1AQaqKrRFghANMVLCmZGhZcuWNS6iK480iSRpQwzkhJeoUE5DKDFd2Tl/xmkq3zaOvZysqxbkEC6yZleVnLTqPg4+j/8UMlTXmrB48eKU/gARbpJwK+BTJ5s1R/OQchFQDob/0FlnnVXug8a4O+2QKEQpKNqyJgQhmmOgEQ4+Q0Lcm7b4aLqQRxFGksCFlIeAMYylGQAAIABJREFUF9qG7wVX+bmJcvHFF6fFsS4zHlx22GGH5GzdRHyKapONXnh9nWsCbVwZ9euKwIi22rvCx8khIqQ8BNSVoylUVqWJIgp1ww03bM2aEIRollmkLtUee+yRXu4m13Cy+FCbfvzxx7P0Jj6aBAEaAS92k8PM8wSN119//SRdnei7zEciz7qqHeBEbaP3ztW1Jnz/+99PxTWbXE8MOXZ4gBPzYkg5CHBgdiBu4mFdj/neOjg4QLRhTQhCNMM8FcpK9ctZtKkagbzpwr/nzZuX1ZmPJG9LF38OagSanASTttDCw8myLuHYefLJJyfSgDx0SWzsNvi6tYR53aqma1/aph1o21zluC6yTw6oJouDg/fGQaLpa0IQohlmkjTknGebrBHIm26SUZt2IXV63qem/GyCRmAULDh702SJ+qlLhN7KnNs17UBTtIQCKYxxk8m5udc27UBd78u4z33qqafSQVhS2KZLWzSGQYimmUnyOQilVUW8DZW9LTycGIWBhxSHAI0AJ2GO1E3XEua9Ft2jvlXd9aVEPzGdNSUsPMdn3J/KYziNN2FN2G+//VKul3H7UuX3Bv2Jmq4dqBKXIp7FZOogzM+1DSIlCCLf5DUhCNGUmfT8888nM5nTbZtC2Q899NC0YLeBwE2BvLG/enG9wFXn9pkEEKdGi2TdYc/Ke1iwEfW6am1NguPgdwe1hHWvCULb+Yy0qY6cw4RDhcNF+BMNzqzJ/r9w4cJWrfn2JgcKB4umrglBiAbmpOrRtCxt0gjkzb/yyiuTZqBtibDy9jftZ5M0AqNgQ1vIwb7OukZ5eyUPRNTb4DuQt3nqz6ZpCfNyPW3K7QLTNmgHpo59k3/nRL1gwYJULqXJ7ZzatqZrDIMQDYwYW6zcIm3SCOTNZyKhGbjwwgvzP8XPMRFokkZgnC4g9RZLhKRu4egvMKGt2oGmaQmtUQhv3fXLRp1XbdAOjNqnOq8XZm+9b5OmMMeryRrDIET/b5TuuuuuZB5pgo9APnFG+WmB3HrrrVO24Lqqro/S3qZeO6gRqNsPZ1yMli9fnhbL2267bdxbFPo92jabeJN9B6brcNO0hN5r+YfaWruQdoD/k3Uq/Immm3HD/+3000/P1lhjjUZlyx++9c3VGAYhyrJMTSIvqZe1bh+BUSbV1GttOPPnz29d/Zip/ajzd8kNha63UUuY44bU8X1STqMJgqzLrMx3oAkFKIfBpIlrAnO491vZjraKQ4a11txsm5arKZjLQyUj/T777NPa3HODGsMmrQlBiLIsw7Ztgm33v6GKVOSPlitkdAQ4JFto1ANru3P6Mccck6277rqZEPgmiIOGekvC8ZtgypsLE2sCUtkkTYb3mj9WU4p4zoXhTJ8rd0K7oUhyyOgI0FyKJL3mmmtG/3KDvtHENaH3hEiVcGRo0aJFrWXb+RynUld9e9NNN83efffd/M/xcwgEYCehodxTTSraOkTTp73k3nvvTWYzzvZNETUB11577doj4ObCI18TaLU+/fTTuS6v5HPvs/e6iTWrRgUAIZZMkKaoKYR91D7Uef0RRxyRtK1tqQ82G1ZNWxN6TYgsMuoBOXXVVf9ptskyzmdOX7JWq8oeMjwCTl1rrbVWJut3F0R4tjxASs80ZVMXGWMxt7E/99xzjYQ5XxM4gr/++uuNaaP3efXVV29V5fDZwEM6Of53geDN1s+iPzMn4VZnNvoi+9S0NaHXhIjKcdVVV22lp/5Mk/KNN97I1ltvvezoo4+e6ZL4+xQEpJa3ATLndClPCg2HTbRJzuHyfEl6esIJJzSGqA1OB2sCYnzTTTcN/rn2/3ufzU/lGrogNLK08sySbUks2ATcHXhFlwkC6oo0aU3oLSESDuwEvdtuu2VvvfVWV+ZW6oewa6SoruKTbQNTKDN/mwceeKBtTZ+1vWpdrbLKKo2rNJ3j3TTn4HxNkMOJhq0p4j32PrcxxHo2DGnl5XyDd9t99mbrZ1Gf/eQnP0mmxs0226xzLhFNWRN6S4icTjj23XPPPUXN18bch13WKeLaa69tTJua2hBOs3JP0VjUWf+rDHz0Z5dddkkm4SZVw6bFFD6+6667NkojZ02QWbtpSQ+9x8wkXTzg6Nuaa66Z3XjjjWW8Ap26J02KPeuMM87oVL90pilrQi8JkaRWTlzssE0vkDjOzBeWyU+Df1TIzAggDLRpW265ZSccqafrKZ+olVZaqXHaLyp/JSia4rOVrwkKuDqJN0m8xzJ+d1GsVdKddMmPs6xxOu+887KVV145e/zxx8t6RK33bcKa0DtC5AXca6+9klYA4+6qOO06eb3wwgtd7eLE/ZK4EEZdM0UMAvPaa68l4kED1iRhIuEXw5+o7sK5+Zqwww47NMqR2nh5f83RW2+9tUnDV2hb+BCJ9D3zzDMLvW+Xbubgvs0226TUFV3N39SENaF3hOiqq65KfhVty5o76sut5hHNANtsyBcREK1hgRGF1TUfssHe0nbw0ZAUsWlhujZ7/hDHHntsrSkvrAnSATQxGaf3F2lUZ7Gr8vHHHyczkDlq3Qr5IgIPPfRQ0g5dcsklX/ywQ3+pe03oFSHiNCnPzHbbbde4k2DRc9qJQuSUvobD4hfRPffcc5MjtYWm6yIBHp+yJvppWOCRkbp8+fI1gUmqaQkPvbfe31NOOaXrUzTlI9p2221TzbtYr7443CeddFJ6T7qSHuaLPfzsL3WuCb0iREuWLEkbg1pPfZBLL700acPk2An5DAFlGdTWOvHEEzsTxvxZ7774P4nwRFRKhtc0x3FaKxmsmbHrMAVYE2gm6jbbfXHUssx7y8+qL1qT6667LmXa71JI+XTjOurfXnnllZSeAGlvSk6xUfswyvV1rgm9IUSYtU1wxx13zPgM9EGkRmeSsBHWsdk0FWPmUlE7XfYhm4o904uyLk1MLUBzpUaX7NpVSr4mNFED43313h544IG9eXety9ZnTuRdybdUxHw+//zzU768Jr67RfRvuntQWtSxJvSGEJlUzAbXX3/9dPh39m82fxthXSaJpgGrVIB6ZWp99eG0lePPZ4ovysEHH9y4KKp8IzzggAMyCfuqEmsCZ94mBh54X5kSqyaJVWE/03Osz5KJ9mnznwkLf5dqwXuLJHYxInqmvtNq8/Gsek3oBSHKNwM+NV12TpxuciEA8uzsv//+cerKskw1e7k8+pgdl3lIFuYmFjFmLjEuVfl05WuC6LumhdnTjnhfmRGblD9quvWl6L9Zn63TiPsnn3xS9O1bdz8RsCuuuGKnMlMPOwiXX355pWuCdvWCEMl1QjvU9urAw06kqdepkh2nrr9J/sWEKOqqjyr53EQkqqtp4kTIgfiwww6rhKBYE5hNm1TWJB8T2hGh9hKs9lHy8il98Z2aaYy9EwrgKtnSNIf/mdpc5N9pxwRBVbUmaHvnCREHLaCKYOhyePVsEzF3ylu4cGGlJonZ2lTHZ05bSlk0rWRElVicdtppiQg00YlYnSZmorI1WPmagBg2TQvBZOg9lWG8SeVDqpyj1mnr9ZFHHlnlYxv3LOZDhbqbmA6iKrAko6xiTcj703lClBfDk2ukz8JxtEqTRNOwtsjKhssM0eewXmHm/GYQo6aJwrr8Bvh3lSk58VK2pWnCZOg9bWKKhCqxsl6LsGviGFWBA1MpUszJ/N13363ikY18hsSyXD7KXhPyzneaELFHW2AVEOxSFfN88Eb5+dxzzyXNwCGHHNK4U/Eo/Rj3WjWTVlhhhV6ftmDHX4bfjJpd0g80TWjxmLLKqieWrwm0DxICNkloq7yfffR1nDoO1mvr9vHHHz/1o178LuUCbTbfur5LrtUua00YxLfThIjKkUPa0qVLB/vcy/+LqGIi4FT76KOP9goDJyybjH99Pm3lg25hWXfddTPJKZsmzFn8JiSiK0OsCTQPTXSq9156P6+++uoyut66e1q31Zxsonm3TDD5N6rvxmzIj6jvQqttHpS1Jgzi21lCxP4u4RsziUU2JMueeOKJtOAqaNq0yJoyx+emm25KZUz66lQ/FVuaCIWNhfOKtmqacHhm1is6T1S+JnDSbJpTvffRexna7M9mo3Xb+n3qqad+9sce/I/ZVBDMlVde2YPezt1F78Zxxx1Xypow9emdJUQKd6oM3PXaL1MHdLbfOWzaDDipdbVi8tT+s8XvtttuSevQV6f6qZj4XQQPXxWhrU2TN954I9tyyy1Tfasi22ZNoBl75JFHirxtIffyPnovkcGQzxCwfm+44YYZLUFfBDGOg/znR1ugBe3pGWec8fkPCv6tk4SIeWifffZJ0WVC90I+Q+Dhhx9OIb1NPCV/1sri/nffffelLK9BjD+PKQ2JXC9KejSxPpJ8UfycZFsvQvI1QZ+bVr5EVmplGZBAZDDkMwTy0OuuF+POe2x9ZtI1/0M+Q8Bhnn9dkWvCZ3f/7H+dJERszlSOZ5555mc9jf8lBGwGPPblOelDzSB9ZX8uamPt0jSilVDHq4nvifEybkX50+Rrwh133NG4IaS58j6GiWT6oaEVQNy7nouHv9Cee+6Z7bDDDrFeTTMVOJrLJ1jUmjDNI7qZh8hpYtVVV00+M9N1uu9/45shQSEfqy5H3zld8kWhgg75IgJ8iSTtRIqamATPuKnnVYS/mzVB+G7TMtXz4RIJu8cee/Q2T9oXZ+bn/8LZnPsDbW+XRaoBZtNbb721y90cu29K/OS1OYtYE6ZrSOc0RHxG2F/lcGiaany6Aajrb0xIIvCa6ENSFCZCVp0o+prxdxgclXYRzaJURNMSARo3fk6TOlfna4J0A00TRI1fU1UlS5rW/2HaI28YZ3OOtV0V9fTyrMzma8j0CJx++umFrAnT372DmaoffPDBtNGHc+JMQ/43fxfBseuuuybG3cTilrO3frhPFUTcdNNNG6cVGK711V0lFJ3DYtNyntDmGD/ZaieRfE1omoaBo+hGG22USZpaZVHbSbCs67tnn3120mR20ceKf5uQckWn+5ZiYNT5xMxPWzjpmjDTczunIXIK5JQmw2XI7AjYIGyEXQxrfemll5JfxqJFi2YHIT5NuZkOPPDA5NTbtGSNxo9JaZLs4tYEqvYmacD0h5OonEtNw7yJr8RTTz2VEhUi710ThF0y0rI2+S7hJQBB9u5J14SZMOkUIaL1EKKpeGfI3AgwKVJDc15tog/J3D2Y+YoLLrgg5R7qWxLKmRGZ/RMlErw7VNJNEuO32mqrjW1SyteEphHjm2++OR1GynQQbdI4TtoWa5WN8IADDpj0Vo36vlQgirfqWwR+DDc0IvBoicowM3eKEKn/w2dEIr6Q4RDIbdd8SLoSxeEUoXK6zNTvv//+cED0/CpOikuWLElO6E0ikcbPOJ588sljjZA1QckW4cxNEX5bfGKkBmmak3dTMJquHRdeeGFyOu6SRk02bo7UTYx+nG4MmvA3aUJgNu6aMFsfOkWIVIkWSRIJ+GYb8i9+xrF6/vz5nSkoKfGeOkAW0JDhEWBmRj5s1CI6miLGUf6Rcd5ra4IgiyY5qjaReDZlrGdrh8MbbWFXcvSoL8mUe8QRR0xkEp4Nsy5+5vDGxM//bpw1YTZMOkOIXnnlleQ7dOKJJ87W3/hsGgSE3svm7NTaxFIO0zR51j/xiZLXhR9RyGgI0K46fTWpzEnuD3bLLbeM1Jl8TUBAmiKcQpE7BSubVly2KRjN1A54SU/AvNT2CGIpL/i2KZ+DGIWMhsANN9yQrEGjrglzPaUzhOjSSy9NqnEOaiGjI/DAAw8kQtl2xz7JzZwcFEcUvREyGgIcj/MM1k2JPjSOxpMT8ihiTeBrIJqrCQJbGisHD2QtZHQEaLPlmGticd5RenP//fen9Ta02KOg9tm1DvEOFqOuCZ/dYfr/dYIQKUOw8847p4iNJqnGp4e8mX+FIZssk2ObSaWsv/zImhZC3sxRn75VTz/9dAp3P/rooxsTmWU8RY8OW2YkXxOYAPmUNUHy6u0xN8cfDf5XImNp2NoqDhqyUdPKdzGNQFXjcvzxx4+0JgzTrk4QIgs4H5hzzz13mD7HNTMgwFnRS0ol3RTtwAxNnfHP7PGipUQXhYyPgKy5MljbxJsgebTYsOUt8jWhKRrPb37zmynPjKjOd999twmQtrIN/EfkF3Nwa+Phl5bQQUN+rbZrueqeQLRsDr/DrgnDtLcThIgaVSSJ0OGQyRDwknpZm6QdGLZHFkgpBBSuDZkMAZu2zVuyOJt5E4R6nDPlMJKb0OWvqVscLhwyHDa6FCFVF65Iuo2wjYRC2x00HDhCJkNAVDSz2bBrwjBP6wQhsgFauJuiGh8G+CZf0zTtwLBYcVi1UC5btmzYr8R1syDQNI2h7PMS2A2THoKvThPWhNAIzDLBxvzomWeeSQfgiy66aMw71PO10BIWj7u9f9g1YZint54QSXnPiZZGI6QYBGgHjj322BQB0RTtwDA9oxWYN29ea819w/Sx6msk7KQxPOaYY2r3J8oJr7QKs0muKWzCmnDFFVckjUCRav3Z+t6Hzxx8mcw42rdFXnzxxdASljBYDu8OwXOtCcM+uvWEyCnWJrh8+fJh+xzXDYHAoHbAy9wGoTqV14NDbUhxCNjMqflt7nUKojNMiQNRZRbJutcEhwlh1Q4X4TdU7MzhK6go7jDawmKfPPrdaAkdKBwsulYRYHQ0iv2Gws/2/6J8BVtPiGSiBUiEsRY70dytSdqBuXqXb5ZNrGg+V9ub/nmTNIaSRu69996zQpZrCutcE0IjMOsQTfyhkidIb5MykM/UqdASzoTM5H93+GUan2tNGPZJrSdEEjFuvvnmkeRs2BEf8bqmaAfmanauFYiyLXMhNd7nNIa77rprUvvXqTEUSSpx5GyaAWVo6lwTQiMw3hwb5VvI7oorrpidc845o3yt8msHtYRNyv5eORAlPvDII4+cc00Y9vGtJ0RbbrllKTVNhgWw69d5idvgT3TJJZekBTIKJJY3I5ugMVTQcTbNAE2hfEVl1DkaFtnQCAyL1PjXyfTMBCVzdVMl1xI6SDhQhJSDANP4bGvCKE9tNSGSrVIm2ttvv32UPse1IyIwqB1oan4iphTkOLJTjzi4I15et8aQ9mWNNdbIzj777GlbnmsK61oTQiMw7bCU8kd+OZI0zqYtLOXBQ9zUQTL8hoYAqoBLHIJpC2daE0Z5RKsJ0T333JOttNJKGWIUUi4CtANbbLFFKj1Qp2/GdL2kFWBGOeWUU6b7OP5WIAIWevmJOAvLCl6HyErv1D2dCMWua02QF2ennXbKdt9996ijN93gFPw35nGagaIijIpqnii4888/P/m2RL6holCd+T6SdQqmmWlNmPmbX/yk1YToG9/4Rqpk/cVuxV/KQODWW29NL7kID5XRmyI2IgvjXXfd1ZQmdbodCDE/HQT5zjvvrLyvZ555ZtISTacZ2HPPPWtZE2TGlnhxu+22a2XCwMoHsYAHyl6O/BahGSigOekWNmd50KQF0K6ILiwK2dnvI5iG5ni6NWH2b37+01YTIvVgFi1a9PkexW+lISDnkyroSmPQEjTFSVDIJdPpO++8U1rf48afR0ByPARg6623zu69997Pf1jyb3nK/qmaAZrCNddcs/I1gRlZlItTapvrAJY8bKXcnpl8l112KeXe49yU1lTU00knnZS99dZb49wivjMGAnfccUch2sLWEiJMcLXVVsuYzUKqQ+D999/PmCXkg6Gh+/jjj6t7+AxPoipVQTykWgRo5rbddtv0r0oigIireD5VM/Doo4+mRbHKNcGmd9BBB6U8TXVoy6od8eY97dRTT81WX331iTUDRfTsvvvuS36Mop4iuKMIRIe/x9tvv50OxVPXhOHv8DdXtpYQyVrLkSq0AqMO+eTXc2xltuDQePHFF09+wwnuwF5PVWphDKkegQceeCBF+9DWVpl0jmaKeWxQLrjggmRCqWpNcBgQzcZ/jeY0pHoEmMmZyznT1ym0lcylBx98cPbqq6/W2ZTePnurrbb6wpowKhitJUQSc62//vqj9jeuLwgBJ+Pjjz8+bQZ1Og6KgLMg3nDDDQX1LG4zKgLU1YrqMqHJHFuFHHXUUSlT8eCzFH9V7LEqQcBoqTnQRnb0qlD//HNoYrz/9oO65IknnkhmO6VEmhqFWxc2VT6Xb+uknKC1hIhGoAiv8ioHrGvP+t73vpdRD9sM6zoh5yfEJ598smvwtqo/MsYzXXC2Ni/KFmbbFVZY4XP11ZwQi8pYO1f75Rrir0RDNKkj51zPis9nRoBfo3lXl4aYL51cSDvuuGPm/yH1ISBJJyd7bh3jSmsJ0V577ZXyPIzb8fheMQhQD1MTq3VVRxj2hRdemDbG2JSKGc9J7qIaPZLipMbBuUy5++67k2bA6ZzYGGlrqgiyEO7Nh85hIFJ+lDnKw92b+dR+ULW89NJL2b777ptMxhKGhtSLgEMZbaFxGVdaS4hEOlFZh9SPgIyseRh2lc61em5TsjmF1I8AUsK3zKKkpE6ZIvTfc66//vr0mNdffz39Xramks+UHEwLFy7MvvOd75TZxbj3kAgceuihKfJ1yMsLuUzaEXOAH2VdSUAL6UiHbpInZZ0k6rWVhMjpk2qsDo1Eh+ZPoV2hLnZK41xr06hKODLyXQlpBgLeTSHHyApy9OGHH5bSMPcVaSbSkeSh+GU6dltozW9muap8pUoBr2M3Vd/OflC2VjKHzdgjYeb4tddem/85ftaMgEgzY7J06dKxW9JKQvTss8+mjkuGFtIcBDD0Aw44INt+++0zJo2yRZkOEWZlayPK7kfX7s/h/rTTTkvvKN+OspLTyftDM0kuv/zy9LyyIswcvpBvWoHcTNe1cWtrf4yNjdC+ULYg3Obc/Pnza4+wLbuvbbu//YA/2SR1DFtJiG655Zb0AoTfSPOmrEVJBJC8QDJblyk23klPBGW2r4x7e+lpR6Q+0H+mIj/97u9NqeWGBMkJImGmaMQ33nijcDgOPPDAZL5yY89gvpApuGhRPFJWbs9oimZIP0W20Yo4GXNkl7kZ7pxKm5AfrOhxmOl+xsQ6YF8oU+S3oo0WRKKmX0jzEBBYoa7luNJKQmShtfiFNBMB9nVam80337zUcHi5PyyEVfstFYk6Ug+vp556KlMYlFmGTwLH3euuuy6T0uDSSy9N/nLmPRMRrYtU9UcffXR22GGHpZ9+93efu45/ne/5vvu4n/u6v+d4HjJV5qECQdMGGwhfr6Jr4C1evDhbZZVVMrmoZCtmzipSEA7RZBtttFFy1i6D1OXt9SwO2vzxaCGYAEVQOlTwkxJWTgsmuk40DXMkB3LmSUVEObI7iCBtTsinn356tmTJkkwW90suuST1g3mH4ymNis3de0Ora1wku1RBvo2CAJZdwgNm22yzTSLgud9aG7HqeptpcPn4jSutJESimqivQ5qLgMVdsVVp7Dm6lpGnRc0ghKiKMO9xkeZo7AQv8kFmZxuRBRVRsGEhjkiNU43CoP4pXmqD909qCadSBUP946dFZS/nDpKhhIqffvd3n+fX+p7v5/dy3/wZnue5NtSzzjorEyEmlxPCNLhJTqpx8n39VWLBe1ukWWMwqmSdddZJxHDccZr6PQSBb4rFFcksokwNbQ4Syt8OKUV2zGF5jJgYERtaL+OWj5nxy+fA4DwQ6i3vjSzZyNCxxx6bCBHfFvcwvq4ZnAvTzQfJLY2LeaSfCBfiJLeUAwftCyKIdDZZkFb9KENuvvnmpCGk9UaMQpqLwBlnnJF8C62740grCZHF1Ysf0mwE+HNY6GmKZLRm1ilSEC4246aYB7RDGgKneyd6WhondZuVk4vNiX+VnCWIiU2Pz5WN0ItsM6IFsEky0+Ranfw0rzQFsoJU0CSIcrJZ+el3f/e565z+fS/XNrmf++ZaBs/zXM+34SJL2uWfjXRwkzR2tEw2yHHJJ58y/RWmLMt8EULLhRAjXML9i8qaLtkfokj9Trvyox/9aOTmIlByY9lMkU2k0z0PP/zwhEFOfHOyAxfEltYHQfIdZplBrQ4MzS3jAEM+lBIBmnPGhaZRotLnnnsuPRsBFw6upISyIkxKsHJAofnSN9om7UKOkemcNOWkHMmmeaJ9RBC1yb0QpUnyvYwM6BxfQADtC0ULvJBicxeOIc1GwLprTRi3dErrCFGeb8TpOqT5CCBBFnjqZiYOfg5FidNtnTXMmBic+G1QNi7kh6YG6VHjC7lAgpALJi1zlmYIObGp+B4S4+WtKkImx97zPNfztUN7tCvXXGmvdmu/zYA5yk+bNpMc7YxNeRQzkucYM/ekIZlUmPvmzZuXNmyLIAI4qSAYSIvxQ0iH1Wya54gIzQpixnSFYJgLcEN8aG6Q45z8IiY0DrBAbhDbqk1X+keDiUgh0wgX4sTU6r1F0Iw5wpYTZ9p5RMmBBLHyHd+vU4vk4CUP1biaganzBtnzTqtar+8OGSHNR8ABwFrw8MMPj9XY1hEip6D8VDhWj+NLlSPghG2BtckwERVV60cySCfbqoQjq5O4k7fN0qnf5mnDs0kgDX73d+TCBu1a2htEsM4NYxSMtFN7tTs38+lP3t9cm0STRHtg42T+saHORZBcY4OhISmCwPBP2nTTTdOaMOm8Ej2GtCAx2jabgzYyhjzRGiAF5jWSkGv+aAQRH1q5nPwiTHWQ31HGfvBa5k5O2oha7uOGwNFe8VOilcnNsMgz8oRE2JSMxbBkcvCZ4/7fc+0L9odJRZ9pz5AhBxx9D2kHAg6o5oH5MI60jhDlFa0jM+g4w13fdzjY0irQFDF3TrrI0M4o7kvrVKYgc0wfNnxZsZ2WaTiQH5ufBZPvhRfQSZ+DapUbQZl9n3pv/dI//dRf/dZ/hNDGmBMkGhJ4wW06cxNtCN8X2j3aiElMqcaAlsg/c2xckTuL9kpfZsqjZbPNzaHMTLm50XzINSZMSvywmJRX5DVrAAAgAElEQVSq1vqN2/dxvker5B1mkh3UiOUaxfy9YHJyWhcJWaaYkzbCSfNQIX/MiKIKaUkdCkLag4A1yr5gDMeR1hGivHaV01ZIuxDgY8OkgExIbucUPq7/D5W2BdBJrmhBtiyEFnuqeKYPbbbp5xsfc4eN03XTbfpFt6mJ99Nv/YcDPJhQ4INUwAtu8IOj6wajmHLTlOtonsZNt4+U/Pmf/3lypBwHIxu7TTufk8x6gyI4wOEL0aGN1Debvr4xi0kCx7eHo3RZOZAG29PE/9Ok0SjS/tEg8TXKDw58krw3/NVoGWnhyohsRLKtB5P4+TABO6yZCzbUcf3lmjhGfWoTv1Jr0TjSOkIkEsbEpxoLaR8CFk8bqI2TacJGM5eZZbpe8rUwD5jiihLmDBoAJ14mj9wMJorHcxA4G18REUdFtblJ94ELfOAEL7jZXOAIT7jCF86EWcXGYx7QGE0lI8P0zcb7B3/wB9naa689zOWfu8ahiplH+9wnLxBsw7a528Bt5DZ0RIg5TRi7Td/GXqQ/3Oca1vJf+PHQphlPpmUYI5Bw9JODNg0i/IvSpiLU1gPke1RhInZQo+HURlrLeMdHRbE51yvrxZQ/jrSOELHXm/jsvCHtRcDGye/Chinkd1QTmtObeeB0P4lY+KjZRSfYwG2ONuh883PipEYPGR0BuMEPich9c+ALZ3jDnTMugpH73tiMRtEg8GX5nd/5nZFrWYnCQ8r5tYkGpLGyQXu+0yXzmblJG+QZ2ujzScxyoyPYjW8wiSKQ3lUE01h7x+BPm0TDNmmOqtx3xIF5FEHcRHfmpHxcZ9xRnhnXlouAaEPrzTjSOkLEgVOI7bimlnFAiu+UgwDNkI1RNNaoJjQbKUJkoxpVbGoImZBofgLU+jZqm6DNMDa/URGd/Xp4IxNwzckGvOEOf+NAe8RJV6j7KCY01375y19OjtWzt+JvPmUis2kiO7Q+1hMbNU2VDZqPm82RxkiqAU7lfTWFDYPnqNfQDvL3Ec1IK2ge8CXjc+Sw67NxNMbG1XpgPRlWmMiYQc0FDvBIcUj7EUC4HWTGkdYRIhNXUceQbiBAvc6MIvLI4jisCQ2hsQByYB1WaB74g9j88uchY0KhbYrMJKEqHxbN8a6DL5zhDXf4G3fj4VSXZwMe1oTGh+zf/bt/N1QOGqSM+YbDrH+eYSPeeuut06bs+bRF5mMR0UrjIdSPbznQIiBMVblJzTiYD8wdTG0OPcMKfzbrgQi4uWTQRIYMCfZAqEK6gYCDFc3vONI6QsS8smDBgnH6Gt9pMAKcIo2tzZGz6kwmNGYYGxZzG1OJxdQGO5vYhPktIdN8BLwsNkJJCp1Iw3lyNvTK+wzu8DcOxsO4SOLp/VaSg6aGr8l0JjREWsQpUvOrv/qraTM0L2Yyb+YmMsWA+RspDCtcP0xi5Y3vsHfm/pCTZCY1a4CxEcpPmzeXw73DEe3j7/3e76U55P9MdNMJoksb6RkIsPk3aTb26Z4Tf6sPAVq/cct3tI4QWTgtZiHdQ8AGSUNkI8TyaX8GfTaYMOQGYTL9D//hP2S//Mu/nP2X//JfUuVpxGjqxilCyD2ESDsJ0j4whXC8tMgORj11D8329Mg4GA/jYnxoChSF/eM//uMMgZHwclBbYJ7I96R+1X/6T/8p+7mf+7nsn/7Tf5rmhVIx5kkuwr05R9tg/8f/+B8pPP+rX/1qcu7lOxImsRypZvxkUnN44XhNW2StR3ppFKczadHoqWv5v//3/87+v//v/8v+xb/4F9lf/MVfpCSNU1Ny5CYyZMj9aQxDuocAM/y66647VsdaR4j4mtgwQ7qJAAKExCBECIzcP7RHnC9FE/30T/909jM/8zPZT/3UT2Vf+tKX0v/9/Nf/+l+n6zlw2jClZ2CScQ8brEKo1PNhCmn2vDE+xsl4Sbz5+7//+2ncafYQG5FpTn//+B//4zT++Tzw07wwP8wT2bRtrLQM/+f//J90H5mMzSu+KjQIg2S72aj0r3W0uszbitjy9codZZHdnMiICvuP//E/fm4dGFwT/s2/+TcpcsycQqhcb+8wjxyWQrqJgPxoNMzjSOsIkVMD59eQbiMgBJoJzXj79+///b9PC58Fb7p/NkL/bHh8EJAg/6jgZQrOQ727jVp3eme8jBuNMG3Rb/3Wb2X/83/+z6TpmW78p/6NX5F8JP/5P//n7E//9E9T2Qm5kphiIyCjPfOE1lf4vgMRQsPpXu4p+a2Q4JwQTx3/wd+VHLGGIMdIcmiG2zP+47TUIZo/2ThlXFpHiHJnyHGAiu+0CwF5XvgQ/Pqv//q0JGhw0fN/i+M/+Af/IPvLv/zLRKaE89IWhbQXAePHJ8Qm+Bu/8RvJPDZ13Gf63Vzgl0QjRKswWymO9iLUj5ZLxMrkxYmeWfRf/st/ORQZMjdoEx2M5vJF6geS3e+lHGgI0TipeVpHiKjRmUJC+oEAh8lf+qVfGooQ5RsjE0kkzevW/DCeMlLnYzzMz5//+Z9P0UrdQqLfvZHIcb/99htpHjCl0iiF9AMBEYoI0TjJm1tHiKjBY3L3Y2LrpXwlw2x+g9f89m//dn8A6lFPmc0Gx3mY/5s/Id1CgCkcyRlm/F3DlO47If1AQKZ8hCj3NRul160jRPwJpkYPjNLhuLZdCIgGGXbhy68TcRTSPQRyR+p8nIf5af6EdAsBUWW0f8OMf37Nmmuu2S0QojczIiDFBkKUl+KZ8cJpPmgdIQoN0TSj2OE/CcPPF7Vhf37lK1/pMCL97Zo8M8POgfw68yekWwjIRDyKhsi1nKpD+oFArzREfIg4yIX0AwG5R37hF35hpI1QnqJx0v/3A9F29tJ4ijIbJqooJ0PyE6lNFtIdBPgQyUuUj/EwPxGiJUuWdAeE6MmsCPTKhyiizGadC5360CYof4iIkmEWPpvlL/7iL6a8M0izXEQRbt/uKWH8kBqlPUSZ/ezP/uxQc8F8+Xt/7++lkhzKOTz77LMRZdbiqaA0h2LAQqpFmf3Kr/zKUPPAmiBho/XgxRdfbDEC0fRhEehVlBnVZ+QhGnZqtPc6IbYWMeMtdPrf/tt/O+sCmGsOqNNFISoYKWeJnEQS/Y0TcdBe9NrfcuNl3BYuXJituOKKKTP5//pf/yuTZRrZycd7JqIsKV+eh+hP/uRPUoX1ZcuWJb+CyEPUnvkh0aoK9BJtKgbMOdqckI14prHP/57PEWuIfzRL9913X0bLFNJdBGQvH7cAfOt8iCJTdXcnsp699957aSOUhA0RUndI6L2q5or65r4D+WKXL34iy2S0FZ5NsyQHkZpo7oEYKQkhn81Mta66jWp7emd8jJPxWm+99VJ9qj/8wz9MYysnFROqMUV48rEf/EmDZJ4wkahTdeihh2b/9//+35Sp2t8dpmiMEO7IVN3cefHOO+9knGPz+oMyVeclPJ5//vnUcElY/+zP/mzaeWBOKOvjGpmqFXA19uYOv7LQHDd37CdtWa8yVctcqy5RSPcQUK/qvPPOS9odJhKnucFNi8rcwqhuEfOJWmYKvCrJoECoKtaDoo6Ve5xyyinphEhrpAaWgqHU55GxdhCt+v5vHIyHcTE+zOLz5s3L/uiP/igTHWSBG6xlJuGajVItsy9/+cspWeM/+Sf/JM0L88M8yUUVc0RKTSx5jCTtXH/99VPWYydJBWKj0nmOVv0/aQa9syeffHKqP6jYrwzTCM10Ji/keZ111kljy0T6a7/2axmNIO2gzOSDooDsEUcckdYXpWHmKgo9+N34f3sQ6FUts6h2356JOUpLpedHdmlzVLJXv2w6cbJT64z2BxmycDrtzybqItEW5HWR1Ddz2pT1Vir/OC3Ohl55n8Ed/sbBeBgX/iEILkLEzGHDm1q0V4uQKKYUGaxVu6cFMi9mGkvj79r58+enUiAbbbRROlgp62AB5afEz2iQgJfX87jzIAIIrnf42muvTZpBWhyHXto9DrJzZZg2bjfffHP2u7/7u0kD5P8zkR3aIrmpmN5ojJSHoZUO6Q4C5k1vqt07GVJ9h3QDAapxCxhzl4Xw6quvHirLNDOaXBNCLIeVvC4SLdT++++fqXqt2CM/I4txVD4fFsnxrzPecIY33OFvHIyHDQohosFBjmlv5hJkSt0ymqG5hKnF+vG1r30tQ4iY35EkmkMbpDaomYVYhWl1LjQn+1ydKeOB8DrUMJEbAz6AfAcR1FdeeWXohyA11gPm0LmEJlnAhflm3tAUjvKsue4fn9eLADOpvWQcaZ0P0fnnnz+2w9Q4AMV3ykPAgsgcwkSSm8iGdXhlQrEAWlBHFVoAp0ommpNOOiktxjbl3XffPf0e2oJREZ39+hxvuMIbzvC2CfqdszPtHY0Q09Y555zzORPZbHfnW8ZsNqwZHSGjdfAsGzDtEHMrknzggQcmLZW2Md0xuTC/+U5IMQjkWkG+gfCGNc3gYYcdlokOUuF+nJQZzJ7WAweqYSU3oTHL0SoMQ8CHvXdcVx8CSLU1ZhxpHSFSqNHEH6dw2zgAxXeKR4C5g6nEgmgDtCnNZCKb6emKfpoHwvInEea0XF1PY7HDDjskrQVtgY2ZBurVV1+d5BG9/S7c4AdHeNIGwTfXyMGdtggZsSkxX81kIpsJRNoFptMNN9xwpkum/TsTmvlHW8SBm8k211gsWrQoaY+0VWQTE26Q5GlhHOqPuUnsuuuuS2OPjMIW/g64NHKTvmN8j6wH/MVGESY0WkamevPPOFsTQtqLAK2fuTWOtI4QmfAmfoRRjzPc9X/HaZu5xOZIrUk7ME4hVouWeeBUWZQ4vYps4WPAkdPpVTudXpcuXZqi35566qmMs3bIFxGAC3yEy8MLbrlJDJ5whW/u50P74mSOlAxrIpv6VGTmD/7gD7K111576kdz/o4AnX766en5e+21V4pM/PTTT5PPkrT/1ho+i8y5/uUkmYkXkcv7MeeDenYBcxiTIx8vGApqoA3ceeedE9FUi/L2229PBLSoEHh+RtYD9x1VBk1ofE9oK+fyWxr1GXF9dQg4HDl0jSOtI0Rsvyb+OIXbxgEovlMcAlThwqHlkhnVRDa1Fe+//36aB053RQsNlgWRwyWTHpt0rjnyfxotobvmIl+m6Zx+i25TE++n3/oPB3jAJccKXv4PPzjCE665IEa0L6OayPLv5z/5AIkeG9evEEEXwZSb0Px/0LEayaM9QtxFKNEi+EclL1LJ/GN6ZX7pK1H+yU9+ksxcNH40LMyYTI7G1z94IZbIEaJZxvtCw2xfEKE2rhhD7eZfhsCb2yHtQ0CEIRI+jrSOELHzmvhszSHtQcCJkXlj3XXXTVqBUU1kU3tqc5Wwr+xCvzLk0now5fB7yDdFfg/+7bfffhkTC00V1b/Q4MENdWq72/y7fumffuqvfus/TZp/SIKTGZIAL7jBb6ogUAgTM8WoJrKp9+IvICLNv0lwZ0KjxeDUzSw/3aZNK43I8S2y4CJjno9McdBFCDn10lLYTCUV7Krw2UFukEHZoyVDhZ85gADRDjr8IJjW7LLJovGzLwymXBgHeyY0Jlw5sMxtmsCQ9iBA42hfYKYfR1pHiHJb8fLly8fpb3ynBgRoB5g2mDVEkBQV0UE1yuRSlTgJm38WeAu9l86J0oZoc0eQnCyp3JkFbfyulUyQdmxqnqSq2j3qc7RTe7Vb+/VDf/QrNyUyd9r4jKsNMTcj8e2aTWgQcqzcd1JZsGBB0jLZDCedVzQcNJc2Q5vibPmJECZaaj5SCBTncN/Nzaw201NPPTV9hiA5wHHkN3+mI1uT4lDG95kPmab59yA//P6Mn4MBvypResxg/nkPmR+ty0xlDkBFmcOG6RuSag7Ad1Lh84TYWl8QPGQrpB0I5PzAejWOtI4QsU/LUxLF+sYZ7uq/Y1PlHyLBnlO1E1hRwu9DpFBdQktl4bdgWpARBhsD7QfCgCgxGSg1wGTAfHTRRRela/NNkiahjk3Spuy5nm+z1h590D7t1F7t1n4bnj7xo0GAhKZzZmdKGsWPxmbJR4NfES3TpKIPNENMVzZD2cknFZpLDplrrbVWxtdl2Ignm6jv0njRkNEWmZ/6Cr/cB0lb3VeoNy0bgoFoIByIBwIyaFqctD9zfR9pob1xaEEIjYsoPD5gxtk7i/Qzf+qDvugTjHLNqPYjo3USfm2xL9gfihAmefOVf5v3eJT0HkU8P+4xHgK5ptDaNI60jhDppBOmTTak2Qg4EdtUaYYsrm+++WahDXYCZy8eNlS/0IdPczOLsY3BBuGE4iSNJEkiSbPCpIBYWGCZWvzjqMvMZJMUcWMzpXFATvhcMEnQpNx///3p5G3TsvEimjZQGhk//e7vPndCd73v+b77uJ/7ur/neJ7ner5Nzr+8TTZyxI4WwMGDM/Q4BCiHCC42f/mFPAc+RQgSgQjpn9pFyFwRAkvEZY011kimIKR3VOGblJuU4E6baL4ilLRHcEAwaNn8QzgQD2Zl15o7SIkwctgjTnyx+MggsEw5TJIcw805xNRhA7Hx3j3xxBNJu8fEZzNHeBEdkV7GggYEXsYXebOemp95e7TP/xEfWl3aHySOLxXiCSOkoSlCW2VfKFpogqV0cPDyLoU0GwHvizVhLk31TL1oJSHy8o6beGkmIOLvxSJgc+ZjwaRhQyhj8cwn/yhaimJ7OffdkAGmF3mTOG06gVtkbXYKVjqB80tibrEJ5RulzXJww8wdVG1aNlSZnW2gNis//e7vPs+vzTe3/F5+5s/wPM/1fBuwMbJhIlI201xbwWwyiRh3BIyGUNuK9P1DhCx+sOWbNm5kyXT9s6AiC0gRnKYrGzHd92b7m+SB5irCMpNWzjjmfjj5+PmZj2n+0zVIFMLCXweB007EG8lFavNrB38O3tP/B8kvfzzkl2YEmc7NvaJA69T+zIZp/plAjbIOyYiQUG7EaNI0H3l742c5CCDuAizG1RS2khBZwC2wIc1EwMnY5rzBBhukE2VZrbRg2xCL0jiU1c7Z7pubrhBImh0aAJoAGgGLL9KHPDnN07LZtGh3aBKYtWyCfvrd333uOtfPpGHwHM9jMiuzbAEzEvPbKquskjSFtFdFCu2be9usbe5MOUUKMkeTolYWooHIlCWDpivan0HNDgJN4yiSD2FBMEVyybqN0NJAIoPIMa0e8xFsrJP8uySepNlBdPh6SYuAmCNlg+S3SlNdkThy3FfXTn/LEpg5hJe9ppXV/r7c1wEBcR1XWkmIMHYbYZejOMYd0Lq/Rwvi5MpXZFzHtmH7kGentfH3RWhsRFMhUnw/aBz89Lu/T6rRKQpHbWIi8p7arIvQsExtGw1kvvgx+zgkcXwvWpiYaCA8D4FogugnEoXQeg9otJikkVBErilm5Cqw4txunpVt0nJYoZnjX4YohzQPAWZT+8+40kpClL8ATrkhzUEAGRJ+7CTlJFq22PxtgjbDkOYggAwZE5sUUjSsY/KoPUCGkBRCC+J5s0WGjXr/wetpV9Q8Y2Iyz0Oag0B+QK4iNx3tHS0EswyfqpDmIGA/mCQHkZ60khDlKtKyTwTNGermt8RihAzxUSkigmjYHgtz5iMR0gwEvJvMNsgJs850eYiKaCltmE2JSY7wffLMSfPQzNY2zsQcz5GiMjResz07PpsZASZiJrOy5trUJ3Mo57dnvjFjhjQDgSIsBq0kROCXIyIYejMmoigcpybkhH9KlSJqh+N2SP0IICkIio2CP1OZIrLKc3In1zz/iGi6MoXfDU0Rn6KyNF9ltr+L9xYRaT+oUsw3c4BGgo9XSP0I8FG0JkySrby1hMgpTWRFSL0IWBg49rLdOqVXLZxGhVzzoQmpDwEOuQ4oFiQaIuSoTKGt8azcp0dUiTw0HIrLFs/mI8eZnXkwpF4EhMTbD6oW0Y0i+pAxcyKkXgQQU2uCcRlXWkuI+CYIIw6pDwGOnEgpXw6RUXWI8GAvgci2kPoQEA3HhMWBmmNv2SKKDhEeDKxAyuWjqUL4yMmrhPxFdfQqEJ/+GTkRth/UIVwFkDFzr2rteB39bfIzpTFhOp0kxUtrCZEF2IIUUg8CcpM4IYu+ESJelzgNIERy0oTUg4CQZOUu5IGpyoyEeMk9NCiebz5WJaLPOPULfy8zfUFV/Wnjc0RZev/tB3WJw5i0D/wnw+G+rlHIkqViUk7QWkJk4iniJiNsSLUICO+V+8QmWHZo/Vw9Y5qRPE8+lpDqEWAm3XzzzVPeKX49VYkTOSf+QWE+dUKsak1gJnQqZaqjsZrkZDrYj/j/8AjQTCNEdRMRzvyy0NMWRfTz8ONX5JWSZ05qOm0tIeIzwqEtaswUOaXmvhdPfg6zcnEoA9GEZG6izDi6hlSLgLpBUizIQF1m0sKpvWKikpBxaiI+m5LNsco1wTrkcCB5I4fucTPkTu1j/D4cAg5C9oEm+BBKEIuoywJfRQqA4RDqx1V8+VZeeeUvrAmj9r61hEhH1YSqy3Y8KtBduN5G5ERs8ZcJtyknYpl7vQxl5aDpwtgV3QdZwr1//hWdgXqutuYh9lMLODJbIepVrwnMhEpuKASq/ElTkmPOhWMXPqcVaJIvKfMxh3tRt5GaoboZplafw9DUNWHUFrSaEAnxxchDykfAZoN4CHGXdK9J5CMPt+RgHVI+AvC2CdHK0RJVLd57vjvTaQVyB9eq28SXjUO3AAObYkj5CCCiZZfsGLUXMojTFPJl4dM2TmHgUZ8Z12dJSzvTmjAKPq0mRFTjXoiiq6iPAmBfrpWpl2bISy7UvkmCrK299tqpnleT2tXFtljgmchs/HWFGkuOOFMyTlXi61oTVJ/nWEtrUbdPSxfn3tQ+5WHWk2oFpt530t/5NfJn49tIW1lVwshJ293W7yOh1qOZ1oRR+tVqQsRuyJfgtttuG6XPce2ICIiisMhb7JuqBma332KLLcJcMeLYjnI5Eyn/MQt9XRl6hdl7/lT/obwfiAjVeV1rgtBrizOH76YdHHKMuvJTyg8m0uk0hXX3UeqJY489Nh3UInFjuaPhPRNgNdOaMMrTW02IdJTJ7KSTThqlz3HtCAgIa81NAU3Os6EKuJciNqERBnfES+XeoSW00A/m/xnxNhNdzkQ3m68AbaFw/DrXBGQRaROO/8EHH0zU3/jy9AgI5uCrQ1vZVHnppZfSIdIeRXsYUg4C11133axrwihPbT0hsvBtttlmvaruPMoAT3It1e/ixYtr1QgM2/5cM8CpNaR4BIQS8xmiJbTQ1yVOgUjZbFoBBV/rXBOQRaQRMYt6i+XMFD5bDkDqmDVZco2hCuwS2YYUj4DyTXOtCcM+tfWEiDpy3rx5E6XrHhasvl2XJ9yrUyMwLOY0Axy+hUCHFIsA51UlCpzI1fKqU2grbS6zyWWXXVb7msC0zNdpm222yZ555pnZmhufjYHAsmXLCtMKjPH4kb5CY8jhV4TuRx99NNJ34+LZEYCn6M651oTZ7/LZp60nRE4KCBG1WUhxCMgrI8eMRb2pfkNTe7tw4cLkv1F2Ha2pz+3y7/LqOIXz1ajLbyjHl1aI1kW042ySawvrXhOQRyTSvJTZPaQ4BFSbNxdm0xQW97TJ7pRrDEWe1RWIMFkPmvvt559/Pu3/c60Jw/ag9YTIgo0hSuUfUgwCovZUcm6CRmCUHuWaAS9JSDEI3HvvvdkGG2xQq99Q3pPHHnssaQXkQJpNaAttPk1YE5BIEZAK3zYhielsuLXlM35ZG220UdJatqXNucZw++23z2J9Km7UvF98CudaE4Z9YusJkY46LSBF4cA47LDPfJ2kcsoQsMnWrRGYuZXTf5JrBtSYCpkcAQu3cgRN0RJynFcuZhitQJ4ose41IdcOqLEmk3HI5AjwZ1PYV4qFNkmuMTzssMMalcetTRhObSssh10Tpn53ut87QYiWLl2aXpAnnnhiuj7G30ZAQBSP01cb/IamdotmwMtx6KGHTv0ofh8RAfXAjjjiiEZpCWktmZ+GEeTJpillRN2Sawdk9W6L+bluzGZ7/uWXX560AlVnSJ+tTcN+5pDJ1Gd+yp8TMj4CDhsOGsOuCcM8qROEiNPi/PnzC8lD8P+3d+exflTXHcC7qavaPyr1j1aqVKlVKzX/tFKrtFU3qZVaVSp7jEnYt9isNoTNmH2HsNoYwmLMajYT4gABTMDshGDCvoUlEDAkhKUkEBKSTvW56cB7z37v/daZOzPnSJbfe7/fzNz5nnvPPfesvYDW1u+UaaK5WAQGwdkmzsVTVdf1QcbYhGtsOpTLXKyE+ImvvVr/SpmwcuXKLOAurQPceFrgBA2GACVCzbHdd9+9cABqGpUWQx6N3ApKNg3LBx98MCnGvcqEXt6vFQqROCKtBNR76MWc3gswXfuOaP1ly5YlQVN3JtEw2Jc9bW6++eZhbtPpa9VMET+Wk5UQP52se22FUMqE/fbbLxtXOuWSkqm1Q9BgCLz66qspY+vCCy8c7AYZXFVaDO1ZkYo/OEOWLFnSl0zo5UmtUIi8qIBaJvLw0/fC9g2/o2GmuCHBn00mrh6nL6fIaLLZPyedYMXfOFzk4t7BR/zs1xVKJmj6m4trpcR2n332iTIh/U/NdAWebrXVVtnwdMDXSPsUBb/p8nbQ9x/2Olmb3GX9yoTZntsahcjJwYau8WhQfwiYXIccckiqmaIyddPp/PPPT6fIXDb0JuGprpesqJwsbPiojku/RQ5LmaC4aC4k8J8gN0c/+uijXIbViHHA69BDD01B/k0vrSHjkEWeJVaJk6D+EFizZk1yl/UrE2Z7SmsUIi/qZCsgOJq9zsb2yZ8L8JszZ06hNUMbSAqmHndx+uqPm9xRak8dffTRhV5MuRA+Wtdvv/1230MiE/ThyyneRIE+rrOIIemPnbIeyalVq1b1d2Gm3/Y+e+yxR8qSzml+ZgrXx8MSR6Ya/aAy4eMbbeSHVilE2jaoSRDN9DbC6Wn+ZFFqc2CCtd2HY4UAACAASURBVGVRSrVW70P8SHSanobxU/5MyKxYsSIFLj/++ONTPq3vV/zDxy996UsDDYJM4ErPKS5u/fr1yRp7+OGHD6TkDQRECy6iGLNefve7323B2/ziFVavXp3eqa5mxE0EEv/Ng0Flwkzv3CqFiGVo1Gl4M4HX9M8oDgJnFbFT9K5NdPXVVxebb755nMJ7ZCpXzs4775wakvZ4SSVfY0VhFRi0sXApE84777xKxtvrQ5j6Vf8eZYZMr89u4ve4yNTEOu6445o4/GnH/NZbb6UGtd4tGlNPC9OkD9SfEhs4qEyYdLMpv7RKIfJu/LJiiXrNRpmCR6d+feCBB5JQFs/QNlJCwIaT20aYI87SwFkIBfvmdvrGP268Dz74YGDoyIR58+Zl5Qb0PgJCBa/X2Sx3YFArvlA9KW7w2267reInj/9xrJf6MObeqHb8SMz+BId4yuOwMmG6J7VOIVJYkGVAXEzQ9Aio6yLtkw+7rcHHYmEELco8C5oegVtvvTWZoP2fE+Eb/g3bp6iUCdqQ5EQKyYqDOPfccwtlAoKmR+DSSy9NFsw29oSTRWkOyI6NRsDTzwGf8GSwDg0rE6Z7SusUIjEHTroHHXRQ0fRMhOmYNoq/MztuttlmhSrfbSUbvJiy8M9Pz2GZWDqysxBJC8+J8E122UsvvTTUsEqZkGMGKquA9GtKW9DGEcC/fffdt1i6dOnGv9CCvzqU7rnnnslqGLX0pmfoBRdcMBKZMN0TWqcQeVFCRq0KcRFBGyLwwgsvJBcCpbHNGXlldWP9boI2REDq7/Lly9PJO5daPRNHiW9HHnnkSFockAlO4LlZC8WNMP9LJxdPErQhArJGWQXUSmsz3XjjjclSu3bt2ja/5sDvxrXP9T0qmbCxgbRSIVLXYe7cucVFF120sXfu9N/4YLUPEF8jhqjtdOaZZyb/fAQsbshp5mcB9TnV6SlHiV/iKkZV1bmUCSqZ50bGZD222Vo7DOaqUrOetN1yQlk/4ogjUoZsyKsNZ8y9996bLP6jkgkbPqEoWqkQlZVtpZO3odDgxhg36N8E8HFDfPGLXyy062g7OVWyFjatM/a4+YL3ZY0ebrPc6JprrknxNaNav6VM8M65udIdUljD1EuKVg6TZyL+k+NdCTiWVSkpyPwP+gQBMXaaO4u5G5VM+OTun/zUSoXI6zl1MbPGRvgJs00qmS0WXFfciWorcUfI5mmze/ATLvf2EzcEK2qOVglKAeVg1BZeMkG8zjjSdXtDffpvWY/WZSSDTMaI/FYOoq2JH5Pf9he/aVBt/keD6k/Q4dJ3kB+1TPjkCb/4qbUKEfOqGJmYWJ+wnNBlmrfgFOLrCqnALfPwpptu6sorz/ieWiCcdtppKYNrnKetGQcxw4eUAp3thw2mnvqIUiY4FORmHbUerUsJIaG4/4JzFALyu41lQabOzYm/U9gdVhRtDCrSXqVe3jhkwlR8W6sQeVE1K2RSXX/99VPfu3O/cxmIp6EQ5VSJuApGaEOhdoWKxwLzuk662bNGrFy5MjsobIKsedKQx0FkgnfPcQ0Yk/UpuDaoSHJbjJskkC4RZf2YY45J2Z8RaF+kg5F4wnHJhIlzq9UKkSA1GRxSNttYv2IiI2f7WVCpSeV0LLuoa3TLLbekFg5t6dc2KP9YIqQv88XnVoTRO3HhmafjqsdSygTWmNyaq1qX1ifFPbdsuEHn26DXkdfkdo6lEgZ9p36uu++++1IhypyaLPcz/lF+l4VwnDJh4lhbrRB5UW4StWi++tWvTnzvzv1Mu+aDzTF+ogpmaAzKHbF48eLW9GwbBDduKI1FpdvnRlxFNkHm8XESmaAXksKIuZH1aZ22sSJzP1iT1+K9nnvuuX4ua813xT4ecsghybLdZau2jhMOb+OWCeXEab1CRMhK2VR8rqvmx1deeSX5X2XYdLkiLiGr/P+DDz5Yzv/O/e+0RSHK0Q2hr1cVikopE7iQc7OWWp/WqfhHrt4uEjlNXisP0mWiFG+66aZFl63asgurkAnlPGu9QuRFxRCxEnU1qJY1YOutty7WrVtX8r2T/4tP0ark+OOPzy6otgqGcJFpfrxkyZIqHtfXM2yC3NvKQVQR8E8m5GqBsE5ZibpaYZ2cFkvVtobTfS2IokhuUxbTRYsWtb4G08awkW1KXlclE4yhEwqRTBoVLvnmuU66RGrMqNCrNUNumTV18GHVqlUpgyPHoNpx46EAY5WnrX7eR6xElS7dUiaIp6pCAesHC+vUej3ssMM6594ln8npk046KTvrXT88HNV3WbUlBilK2DX68pe/XKlMgG8nFCIvetVVVyUrUW4NLMc9yS+77LJizpw5RW6NLcf93tPdf/369Snd/Iwzzihk3nWFvPfuu++eNprcFAABxLIAjzvuuEpdumQC9+GLL76Y3TSwXimvXagmPxF88jms2Z8gwkpStqvQ060rxGLMOla1TOiMQlRaSgjermRwKP9eLibVcIN+gQC/NHdJjnE04+KR7tC5bjRiJSjtVcd2lTKhinTefvlqverZxFLUlbVbKsZHH310WLMnTBiKu2r7be/lNuGVC1nBdciEzihEwL700kuTlQjYXSDuIUHEUjiDPkFALA03opTeLrgRnbb44m2wubWtENd1wAEHpB5OdWz8ZIKCb+NK8/9k1vX/k3WrZpKq4l0gblOb4P3339+F1+35HSnuYv+4Ebtg1a5TJnRKIXr55ZdTxpngzbY3z/vggw+SL37//fcvumRq7VXKKErIStSFQPPbb789HQT8nxvp2WTTr9o6VOJQygSbTW7NQ61b6zdHC1aJ36j+t+nLLOMiCXm1IarmABdqjrXDNhztcH+pUyZ0SiHCJhkMrCZia9pMTpWC8a6++uo2v+bA7yaolmKszxkLSltJvJCsOv2gcmsJIXaHS1dgc53p72VdohzTm61fsV9tTgZRIFNHe3O065ll08kh9am60JuzbpnQOYVIkSuuA8We2hxDct5556UI/S41RZxOmEz393vuuSdh1ObWLgqbscAsW7ZsOhhq+TsrgH5qFKK612EpE1hjcrMcW7+y79auXVsLn6p4qIxPLTouueSSKh7XyGew+DvAcS/X4VquArQcZELnFCKMffTRR9MCJJBNtLaR4MTPf/7zxVFHHdW2Vxvp+4in0cJB4c62Ko5SVzW2zc01KI2YopaLMlrKBDFFuWXhWcdcem0kssr7qSJPeQ+aHgFuflYind/bSDnIhE4qRCbTBRdckLJu2hjAd/fdd3cqeHwY4aDRKZcEt01uAcfDvJdrvc/BBx+cmqXmFJchlfjAAw9MBedycleSCYJXzYmcSBKIeDdu3rbR1772tVSEMcf4ttyw5k6aO3duci/mNrZhx5OLTOisQiSYcq+99kr9YnKLrRh2cqnsyQRtkgXNjoA4DdaKtqW16tUlXu7yyy+fHYQKv6EEgA3+oYceqvCpsz+qlAlirnJqm2EdW88a37aJBAizDJ144okRSN0DY1kujzjiiGL+/PlF2/qb5SITOqsQmX/SPD/zmc+0StAQnorN6dMU1BsC0jzVp1Iiv03K8YoVK9KJ8vnnn+8NiAq+JV6IRU5MU44pxGSCthG5NVe1ns3PtpSJ0LNNnCOLXFtdQONYThIAtKFqU+XqnGRCpxWi9957r1AEjKWoLemMGmRqCNi1CrfDCh+uU2mt11133bC3yuJ6Fg61h7R/yEXx0MGb9dIJN8fq0BhXygTtI1T3zoWsZ4U1c3PnDYqPrKntt9++9dm+g+Iz3XWC/h14xb+2gXKTCZ1WiEwo6ekKszmtSP9sMjl1LV68OG04BHtQ7wjAzincZv3SSy/1fmGm37SBOklSkHMhzUopnfoz5UylTGBhq7McwESMrGdzsw2ZWEoIUNS1ZshJ6ZyId84/U4a4UFm2m065yYTOK0Qm1EUXXZS07qbXwFBtV6VXgjyofwTgJzuPYuTk0mTSq80JPJcNx8lWyrCNsAk1dcgEB6Wnnnoqm2lgXbNmN/2wQyFWSuDOO+/MBtsmDUQF80022STV1GvSuKeONUeZEApRUSR3mdOK9M9cNpCpk6eX3xWbFBMlmDZoMAS4zJy+vv71rw92gwyuevPNN9Nmzj2VA8lwW758eRrTt771rRyGNOsYuNBzkwnWtfVdV1XvWUHr4QtcfnvvvXdynba1nk4PMAz1FQHV4vAEWDfVq+HAqRinQ0dOMiEUov+fmmJIBPidf/75jTyBqadE0Eiz5v4JGgwBQdWyjJzEn3nmmcFuUvNVOoZzlym/kAOpAK0KsToqTSIygcDORSZY19b3kiVLmgTjx2NVZ0hRXIpmW2KhPn65in9wwBBT1tT6aWvWrEkHz9xkQihEEyayHiqUIpkmTSObt00wWnUMzznCmtA+/PDDCz2WmkYnn3xycpcpelc3cUPCkpLZxAw+AlsQay4ywfpWZT+nulK9zDFuPv24KJhtrP3WCwaj/I5CouR9E0sxsHQqhpujTAiFaMIsZYoUsCY7J6fYgQlDnPZHFYn5lSOFdVqI+vqAn57wlh6eU02a2V7CRkmpJ2zqJiUgZHE22SJAidNwNBeZIODbRtgkt7j6OdLFxbRdccUVdU/LVjyfy4miroZTk4grugyoz9FKGArRlNkkw0hNGk0/X3nllSmf5vurDVDsS9ODgXNCmPBWsFEQaC6p67PhQyG2YdZdPkB8iIwoSiXlsslUWgxzkAksLTL1Vq1a1RhIJavIkKNYNtFKmCvQJ5xwQlpfTbEWMjhw9+YsE0Ih2shsf/jhh1PTSdlGTciIoQRRhpp2WtgI9Fn9qbQOyDxjom4CcfuyFNYd/yR+iWunLRaB0mKYg0xwwj7mmGOaMB0L1b8VlGyylTBXoHkFHH40x82dlK/g3qPM5ywTQiGaZiaJGRAIatLlHslfmtFzaZQ5DaSN/DPrgPYChxxySBLuub+ETEnKcZ0ZPCrPKmzYNosAQS5dvG6ZoAEtd0nu1mCHSSEIOVsEcl/PM43vueeeS0V4tb3InWSSyYzLXSaEQjTNTLKhyC6ZN29edj2Xpg6ZoFadOqcWDVPH2OTfS+uANPacmpFOxdQGqUdYnZ3RFYsj9CiROcYITMWsn99Li+Fuu+1Wq0zQc49lwEEoV5IRd+2116bWMTlbBHLFr5dxaeNC2ZR+nzMJQznooIMaIRNCIZphJqlJJNNIZ+6cqxerTs2albslawaos/+IUJfmKssn135SZeZJXZWgP/zww2QOb7NFoLQY1ikTZA8qwJpb096Ji1itJMH9uVsEJo65iT87/Ihz/OEPf5jl8B0ijLEpMiEUolmmkSBV9X3E57zxxhuzfLv6jy0EzShPOeWU6h/eoSda2Mcee2xSPHNNG+ZKYSkUt1EHsaQxi+e8UY8CF401Cfg6ZcL++++fYnNG8T6jvgdLtarkrIR1x7KN+t1yu5/WPKyFesPlRmrjKVuhmGhTZEIoRD3MonvuuSeddr70pS9llyXBN2tBfO1rX+vhTeIrwyBAuC9YsKBYuHBhkWObF2Zpp3JpzlWTMhXihnKsLTIOLFgMWWnqkgnc+eKZcmvjIa3awUFAfZs6so9jDo3inuqkbbbZZtn1uBNEfdttt6VYtybJhFCIepyVAim5paQS5ySEjMeCUAU2aPwIaJqqqBjlI6daMObk3Llza+mCLYhaSroqygoxdoHEkukXRymqQyawxjkIyYjNhcSPlY1HV69encuwWj8OMW1cuDnRunXrUqkFGYZNkgmhEPU4i5j/NFdkKqcc5dIFm2mamyKoOgTWrl1bEELSn3MJZCeAbJBV92BzQnUCVLura0VBWUMEtFJEq5YJXLhbbrllcfHFF1c38Wd4kuKlKlFz31911VXZxtnN8AqN/ahUzHM5qLOkc+nmdmjshcGhEPWC0v9/Rxrp6aefntKa77rrrj6uHM9XLQD+2ab2NhoPKtXcVVkG6e3qweTQT4iyvvnmm1ca58YiYD1wI+bUoLGaGfCLpwiypgyqwly1TNBvz8ZTN8nIFSvCUq1hZ+7lAOrGa9TP1yvQYeihhx4a9a37vt+LL76YDooO6k2ojzT1BUMhmorILL+XDQr5yKW/1kll/SEWi6DqESgLjcmioBzUSdxVCkhWRSwC4mdsyt/4xjeqemyWz6EMCiCuWiacffbZxVZbbVVrzamyLYdx6KHXhEK2WU6iIQZF9lBGL7vssiHuMvyl9kbWYrGEOQZ59/KGoRD1gtKU73CTMAfqb1TnyVggtZMB031QPQgoisZKx11Q18nYpqQCbFWZhtLrZbSJqVOROqhI7UkopFXKBFZK67/OkiBimdS+UhA0xyzcrsxNhTopI3XRm2++WajiLiM7B0vVoDiEQjQgcsyBso24C+pKLb3ooouSm6TOqsQDwteayygjF1xwQTqhqVFUR4YXa42Nkdti3OT9WMbEzUj5DfoEgTVr1qQYw6pkgkxHfJcFWwcJ6Ba/KJauSX0f68Bq3M+U1CDZow4SuiHrUVxl0w9IoRANMYMUHzMJ6xIIZXO/IV4hLh0BAiwmAhvF8FQd1Gz4ZUPXKoQR9yz3iMyqoA0RoCwKLK5CJijQqG+dIOaqiTKmP5n4qVwSC6rGIKfnnXPOOclSXXXRWM/jqmMlbEPpl1CIhpzVAilpxto6yPyokggkaY1B9SPglKRQn2rW3AhV0q233lqJ60TJAa45gdRRFX16DnOjygCrQiZQvk499dTpBzOGT/TQErNWpXtwDK/RqluqTs9aqLtClXTdddclRUybljZQKEQj4CJfPh8u10lVwbU///nPU2G2s846awRvELcYBQIUYllnYmsoD1XR8uXLiy222KJQGmJcxC1D8deK4f333x/XY1pzX9lWNqhxywT1ZwSxVkUKcB555JEpw1J2U1AeCJQFeqtK9BGmccstt6Q5LnSjLRQK0Yg4qQ6JoEqZN1Vo6SwSBK64laB8EMB7rkwZR1XFdlDCKCvjIJag22+/PSn8lKGqFP5xvEvV91QOg8VwnDLBgYiVqIq6aGKGWKRVQ7/++uurhjOeNwMCgprtB1Xwhat21apV6RDWtpIvoRDNMMn6/UhQpUBrk2TcQYbM1hZAFXEj/eLQ9e+zFHGXqE0j5kbn73HSvHnzUpbPqJ9B6b7xxhtTALUMtlCG+kdYrJViruOSCVwW5IDK2eMkpRVkEM2fP7+46aabxvmouPcACPAYqJq+dOnSAa7u/ZLXX389FSiWVCGQum0UCtGIOcpkKeKfX3+c6bBilwjCJpVFHzHUWd9O092yjYENZFxuJgHd4lW4aEZJUqg1ZCT4CFnKUdBgCAi0Fm8zDplAUSEH1CQbF2lmLJtMzCJrYVCeCMhuPOSQQ8Y2OPsZWSCAWtmNNlIoRGPgKuuNkv5cJ34eB3GVyTCJjWoc6I7mnpQVMSRiivDr3XffHc2NJ9xFDSobIn/+qIjgW7ZsWbHtttum02AEUA+PLEuhjKxRywTF8PB/HFYb85fb1/w19irj4oZHvHt3YJWmrIyDHLwljZgL11xzzTgekcU9QyEaExu0cxDboWDZOHo8lbEDYxp+3HZECFAmKENiirhP+PpHSU7vNsRRzbGJgi/i00bJqSIVcZWdJSh5VPzijlUGYdTuC8q7NGpuX3FDTa08PFoO5n032Y1kwagLxKqzZx8TIyubrc0UCtEYuSvAVvVQihGBMsqTNiFVZXbJGGHqxK1tLmJ9zjvvvMKpflQkuJGlcBTWJ4Lv6KOPTuOMoouj4tDk+1CEuNS5NkYlE9RCo2SNisTAqW2kV5/76tcWlD8CrHkUolHyS1ahmlpa9IiRbTuFQjRmDhMuskxo2CbsqFKjmS6ratUwZog6c3tFG21erHujagirXL7aQMOSQnsEnziROopLDjv+Jl3PCnf44YcnN9QoZAI33KiyDL/3ve8V0qhlkqk3Ne7kkCbxLfexkikUolHFeenGQHGXKNSV5J1QiCqY5eJ8mDNtOCwFw7pNpNiqinzxxRdXMPp4xCgREAwvW0cjTCe5YVt9sDYM0/FcsDdLhd58OlRzwQWNHwGbl5gMVt5hZULZwkem0TBE+XF4o1y557ByapixxLX9I+CwzVpsrxmGSplAHqhzVVVto2HGPKprQyEaFZKz3EeA4urVq4vFixcnf/+LL744yxXTfyyDyUlA7aOg5iFw7733JiVG4L32L8O4u2yog7pLWAO4xpwCKVaPPvpo88Bs8Ii51AWvU2jFAA0qE1QJJg8G7Wmo/QJXniw42XBS+Ucdh9JgNjVq6DJOFWodlKTV26eEZNirWIm6RKEQVcht1gDmTJq306GT+SCCx0ZGAI4ys6hCGOJRRVEocseN6gR2xRVXDOya4ILjMumX9J/S/4g53P/Rj6pfBEfzfS51BxsxGgpfDiITyrYNmvz2S6xAXKQ2QHKJfBrW0tTvGOL7o0NAkc5zzz237xviOYu1tHoygaWwizIhFKK+p87wF6gZYhNjIVCjpN/K1tKiKUTiD4Kai4CUeY0RudCczp3S+23OKHvNtb0SBVyZf4H+4oVYiIaxUPX63PjezAiI0ZCBRkHuVyaUvez6LZzJIsUypX4NeTTOWkYzv318OioEFAEVV9gPWf/qWYlrK124XS3nEgpRPzNnhN+lBK1cuTKdylSxpZ33ejKzcVKIWBmCmo0ABcip3EbIbeW03k/shrToXqvTMofbbMULeVbUlclr7jz99NMpkJm1qB+ZcOeddyZ5QMHuhSjFLFEsUipPk0P9Hsp6eU58p3oEZLKKT+yVxI0pwMo6yPX+0EMP9XppK78XClGNbFVDpHShmYw2KH1iZiNBbhQiadJB7UCAr54gc0LrJ55Er6xeatDIbDr77LOTVUjcShfN4U2YKZTh0oUmCaMXmeA75EEvPKX4UIrNs9JFNu7WMk3AvS1jZPVl/Z2NyrgxxRwp4GqkRUZhUYRCNNvMqeBzpmr1ilgJaOuzTczyRDjb9yoYejxihAiIDVNXaLZ4krfffjspwzLC/uEf/iGd7F544YWNutsE4JfxSuEiGyGzxnyr0oXGnTqTTJCt5vO/+7u/S7Fo6sZsrM5VGSPC8sSKQN6Ei2zMTKzh9vYQivRMROm+7bbbPo4bY5WW9BMUClE2c8DJTXAtAUhrVxdmuv5X0nSdCMfd0DEbcDo0EIH3NkOZX4Sb7tUTNzjz5KSTTkrd5//t3/6t+J3f+Z3ir//6r9MmJ1X65Zdf/hgt18kYYgkIF9nHsDTmBy40/fDEiU2VCU745omg+n/9138tfu/3fq/427/921RZWpsNrUJKIidYkWyUXGTkTLjISnTa9b/MMHJjY0QpdnBiURY4TY6EUjwZqbAQTcaj1t+YrmnrBJoNjGl74gZXDo4VgUI0aJpteZ/4P18ExJQ5zVOQFXKUEi9Fn3Lz27/928Wv/MqvFL/8y79c/NIv/VL63++///u/n77vu/65zvVcZFxmQc1DwGmeUkvxsdFJiRZDiKf/9E//lPj/a7/2ax/Pg/JnFiMKsl6K/md1JFfIl3CRNW8e9DriMlli6vc1a77vvvtS3Ji5pB+ZvwVNRiAUosl4ZPGbzczJkItDXIlAt4mBtjoNb7bZZkMX9cviZWMQ0yIgnkxKtY2QYvOf//mfaeOjBM30b4sttkgnQNe5PrLIpoW4MR8o6CkLSNd5lcln4v/Ez/bZZ590DXlCrgS1GwH7BStgSVzmvA1Ka1CIzSFzadiCsOX92/Z/KESZcpSZWzotS5GNTdd0JnTVSNWIUG8iqBsIEGjcIhM3upl+Zjn6j//4jyQIu4FQN96StZiFsLQCzTQHys/+4A/+IFmIwr3ejTki5V5bJwqP8iyKdnKjKf7Js7Axj0M3kOntLUMh6g2n2r4lc0RarFohtHt1Y2SkiSsI6g4Cf/7nf96zQsR95vtB7UNAx/HSVVoqPbP9byMM6gYCijJutdVWqa6Q2lIshFznao8FzY5AKESzY1T7N2j74keYQ7nR/uu//quQbh2nvtpZU8kAVCD+9V//9Z4VIhuk7/dSwqGSF4iHjAyBv//7v0/xY7MpQRM/5y4Jaj8C6ksde+yxxd/8zd8kSyLLkGyyQSqYtx+tjb9hKEQbxyXLv4ojkmH2j//4j8WnP/3p1LNG8G0EV2fJrpENCo8nbnC9/iz4NqhdCPzhH/5h33PBQSqo3QgovyAjVWzpn/3Zn6Wg6UF747UbqZnfLhSimfHJ8lPuMzEizKHaf1CSTP5QjLJk19CDkg0yiIVoYrr+0IOIG2SBwF/91V8Vv/qrv9qXUiRbMah9CPAcvPrqq8l7IIWe92CbbbYplOMIGgyBUIgGw63Wq/Su2m233QqF+RRYEzDn/xtvvDFVqxV4HdQeBBRsZBnoNXbE93zfdUHtQcC6Fh/Sr3LMZdZrW6D2oNXeN8FLbVrI/9NPP/3jVjyScPweCTeD8z4UosGxq+1KAm7bbbdNz7fpqS0igK5UjNQqUXdmusKOtQ08HtwXAixDgiEFSnKT9moZoBD9y7/8S7rO9VFvpC/Ys/uydWw9W9cUot/6rd/q2UL0R3/0RykhQyNole0/+uij7N4vBtQbAniHh3ipjIKehOKE1KtTcBEJoNbgNWgwBEIhGgy3Wq+6+OKLiy233HJSLYkf/OAHhZYeKtpSjChIfMoEqWC7oOYgoAmrdhsUX9WFVa1WdkGwZC/xQ5QnxfiUa1i0aFG6j/u5b1BzELBurV/ruDzwWN/bbbddT/PAXBE/xK1uDrmWjJB6HcUZmzMP8ArPSvluXZMLaoxJrZ9Ip5xySiETMWgwBEIhGgy3Wq9SZVSlauX7p5IifE4QTgoKcRGk0m5VrFWkKyhfBLRTWLduXWrCSuCpQaXRJ96hm2++ufj3f//34jd+4zc2uiH+7u/+bqpXdO+996bv62t19dVXFwcffHDaEDV3df9o25DvHDAy6xTPrVvr1zq2uVICwQAAIABJREFUnq1r6xv/ZJn+6Z/+6cfzgFVwokv1T/7kT5Li5H5iybhTjjrqqDQXKEaaSgvE3ZgMyRud7owOb/AIr8QIlYUVhUZMV09IlpnY0qDBEAiFaDDcar3KgqAQzZRW7XSpfxF3i4V04oknps3xmWeeKTQHDcoDAU0VBUaqRi74Va2p8vS3sSwRRRrnzp2bsgz/4i/+ovjN3/zN4o//+I+TS017BveZSniuQBsrgX+e43ueG00dp6JV3+9l015KrPVq3Vq/1vFUKy832nnnnVf88z//c8oq0s6FEqSfGaWZ8juVJrrXKckUozVr1iQrQxyWpqJV3+94wfKDN+U8YOW76aabUuzQTCMjPxTvDBoMgVCIBsOt1qvuuOOOpBD1kkVkw7P5caEQsE4aK1asKL75zW+GIKyJi4IibU7S4im3Tv8EWSn0xAnMRAIqxY3h41/+5V+mPlf6FM0WM1ZaHbjRbIgCMAlZlqSJrWFmenZ8NloEys3PesTP0hJgvVq3symsZX2yT33qU6kGDUvQ448/PuMg1S/jfpGcQUEWj3LVVVcVjzzySCjJMyI3vg/LgxEe4AVXp9AHRXhvueWWSQ2eZxqFuCKW5aDBEAiFaDDcar3qG9/4RlKISldKL4P52c9+lgTe5ZdfniwQNl8bIvebHkeUqzCf94Lk4N9h0RMTwvWh/Qp3CMXExmQjG8SVNWfOnBRf1M+oVD/nijv66KPTafK4445LHbDNK8GZ7733Xj+3i+/2iYB1Zr1Zd9afdWg9sgxanzZF67VXKuWBudUPKdjHvar7uXmoMSjlXBkPSvL3v//9SXGK/dw7vjs7AtLmYQxrmJ9xxhlpHlCEKKlkQr9xf0qyWNdBgyEQCtFguNV6lRMglxnBOQixQPBL25SdKPiduVHEqOiXxlpgsQYNjwCrDX+/2J1LLrkkuSlkhojnECOCh8O4K2Qbbsw90svIBeLbTK+44opkoTIuyplWMcYVLrVeUOztO9aTdWV9WWfWm3Vn/VmH1uNslsHpnqRZJ3kw6PWUL8U/WQsF5VKOKOtcciyPFOhoEDwd+v3/HZYwhS2MHUi4uSikDiqPPfbYBi7SXp+isSsrY9BgCIRCNBhutV7lFE8AWlDDEEEovoTbhomW+ZzP2olRjYsQhIOhKyuEtYdgE7vj5Mf0TeG49NJLE7ZOhqOgXXbZJVkYhr0X5YcbZfny5SkzzWa9dOnStEmWSvKwz+ji9eXmZz1ZV9aXdWa9WXfWXz/WoI1hKNaEPBhF3SnKOWXYvDVnWa3EGpm3lHrK/Wyu2Y2Nset/m3gwgiXFk2uLq9wBhOvTAWVY0tiVvAkaDIFQiAbDrdarmFEJQH1qRkXM51KzmfBL8z1ByIRvsdoUbZrhTtkQcQqQuAyBkNwgTN2sNk5+UmSXLVuWeCVjZNQ0jhMhRVjcAvcJoW0eXHjhhUkBF9RtUxQAHFbEDbkp+JkyTNGxbqwf+FEsrCvryzobZX+pXpIsNhzp7H9Rv4pLjWVT3Bmrpm7q1113XVKOuOx9JwrBboilmCCHHmsJv2FWHowoxGLEWPZ6iQPd8O7T/4XFmLwJGgyBUIgGw63WqwhTCpGCXOMgQk6ciyBPgtApxsnWghbwxzJVboyjFOzjeJdx3FMMCPeHLDCFD/n/WVbEglCCYKZyuEJ64gPGWfNlnDEDWsHgs3nmfWzozPEUJbWw1q5dm6wJcKAQdrEasgOCTQ2fWYEoPCxrZf0fCqV1ZD2Nq0CmzZY8GKflpsx68m7cfKxH3pHir05SeWiCxTjHMY71PIp7lgqQOC6WNDWCuMO4oLnCYMZN6rBUFlEcxXOn3uMzn/lM3zGFU+/R5d9DIWog922wm266aTp9jnv4BCFhThGyGVrY/N2UJAJR/Mndd9+dNkYWkJlKAYx7rOO6P2HHHeFELBvIiVyhRGZvp2bZewIZnfpYVsR4VRVzId4DT8ZN3of1i/Ln3SlHrF/+pyx7d64bm4FTMfN/G6siw4GFjDvUvLcuHBQojBRhCpBNkMvJwcH6GTdxwZAHw7reehmnwwDrl5gnz+VaJQ/MQ2uABUlsXHloYlUeJkaulzHV8R0ygYIr9ooyWCpAZGS5NmDDQigrGGauGSdVuS+M8z3qvHcoRHWiP8SzmUYJnyqJaZwAIAyZ0W0ChOGee+6Z/rcxXnbZZclyQEiwLrAeEBxO0rlvkCwiLB3S2r0n6w+XAWGnHgyBT/mQBUIRcgIUIGtzHIX/fxBeUkrFDVRN3LaUQ9YBVgIK8t57752UJCdiLjbKoRo68HFyZj2gMOeezWiemq/mrflrHpvPLGI2OJiLB1u4cGFSgsx7ipG5QgGq+v1kJG2//fZVT4H0PBZi+LB8UIopAQ4IsKEclpmslEfKMte7gxN3Evdi7m7XmWSCSvLkgINBeShiKRbKwGJYtfW8DKVwaAkaDIFQiAbDrfarLEC+6DqJQLPwbXysBqUwVDqeK8f4bI582ldeeWUSmk6OgjZZW5wexaKM++Q0ESNuHSdWFh+bl1pANnYBxVxDhLoTfnnKU/WVcCf4bPyUozoVoInv4mcWOtaBuuM4KDtcRooK2gQpDApFlvMAfhR4VgUWNlZHsRVOziwuXJBVu1rMO/PPPDQfzUvz0+Zuvpq35q+Nfb/99iv22GOPjxMPKP42+ToUoKlzwNhYp3KgUkGyKQsiL2WCueDwJJaKAukwwYrmcCXTkVWVK0n8FSvcON3MU3HqRyY4EE2UCZQi85lSaC7VSeQY1+lsdajqHGPuzw6FKHcOTTM+gZo77rjjNJ/W8+dSGDohiaWQTsyELN7AKYpQJExKV4uTrVgUSgaFxAmbcFSQzuZkYTtR2qyc1KUV23gpMyw5BJCN1MnIpubkSaiy7lB0KC42Xad7m7UNzNhs2iw+4n1sdiw+rFw2Fhs5yxd/P2WDBcjJ1nNypDLlmpsqJ8Ir/LzhhhuSNZFbyeYIbwqmeWBzoXiyuFCoxcKwwlCW8IuAxz98pHjjK/7iM37jO76YB+aDeWF+eLb5Yt6YP+aR+WRemV/GZb6Zd+afeUhho8BT4Pbdd9+PXUBlQLl0aNfAuWoL0Ex85SbbZpttsg2k7UUmWHfmBeXTumOFo1CZ2xRU69ca5LKleFCiWRwpo6y5lCgWJ3PAPz/7m898B89cQya4x2wygdLmwEle+d/vyhA4EE2UCXVZhaebD+boJptsUrtiNt34mvD3UIiawKWNjJHQYBmo0rqykWHM+icnPRuVjclGVG5CrAg2SCdbGyThYyMiHJ0kbU6UExsmVxXlRcwOKwNFiyWH285GSlDZ1Jw83ZMCxoVDyNp0CbVyE/acUiGjrE08qdo0baZVWypmBXGGL9j4nQopErmTzZEyY0MqFVO8xDd8xvep80BsCj7iZzkPfN/8wXf8Nw/MB/cyP8wTSq3vu695ZD7hO+WX0sO952ebne8KFrbZ2YhtwDZcm2vuZFPGfwH8TaFeZQIeWbfWr3VMVuCX9U15wjfWXEqUdSx43T8/+5vPKDJkAoW3lAnm1ESZQDn3N98xd8wpyoU1RZmmfNdtge2Ft96Zchw0OAKhEA2OXa1Xat1AENrAm0oTN0inQUG5zM8sBVwWTu/M7qVwsxFSjErhZqMrhSPBx9LAEsGMzZfPrcFSxRXG0sM8TymjnFHSqghCHTdvKG9bbLFFetdxP2tc95+6QeITfuEb/uEjfuIr/uIzftsU8d88sNmZF+YHRddmSGEyfyhM5pNNTvFByhhrYZM2u+mwp8STA5TMNtDGZAIro0Bt9XooPBRfMoH1rjwE4T1lyT8/U4J85juyIstDFKWXq87BjKuf0tMkBXgmHlMaHSqCBkcgFKLBsav1Si4EgpALoCtk4xS35OReusmYxwlRwY+5B2iOi0+77rprEv7jun9u98Vn/MZ3/C/dZ+YFBTH34P1R4ukAQQ7AoYvEfSkmkKWMm8w/P/tbTq7NcfPGmthuu+0qT7QZ93tVff9QiKpGfETPEzdBEDpFB3UbAVYSrqag7iHA8qH2TBdrQHWP29O/saxI+wHrV9DgCIRCNDh2tV7pREAQCg4O6jYCYh40eWVBC+oWAlxEYu+Cuo1A6TFQ5iJocARCIRocu9qvFHTIOhDUbQTE2zgdchcEdQuBnXbaKQUCd+ut422nIqBUBBnAfRw0OAKhEA2OXe1XCiCdN29e7eOIAdSLgFRkwlBwaFB3EJD5JM1asHFQtxGQdLDlllt2Km5qHBwPhWgcqFZ0T9WAt9pqq3CVVIR3ro8RT2ZjlJ0X1B0ElAagCMuYC+o2AkpMKBwaNBwCoRANh1+tV0shJhClkAd1G4HPfvazKb242yh06+31yLL+FR8M6jYCu+++e6rL1G0Uhn/7UIiGx7C2O6jgSyCq6BvUbQQUHlTUMqg7CKjJI7GiCUUDu8OV6t9UiQG1yBTrDRoOgVCIhsOv1qvVYSEQFTAM6jYCNkfuU8IxqBsIUIJV2w7qNgKKcjoYa00TNBwCoRANh1/tV6tMqgx9ULcRKIWink9B7UeAVWju3LmpCnf73zbecCYEHIiV3VCLKGg4BEIhGg6/2q/WPVx2QSyG2llR6wDwn1BkKQpqPwJl3Zlvfetb7X/ZeMMZEWAl1LYjaHgEQiEaHsNa71D2MoqU61rZkMXDyziirrYwyYIJFQ1Cb6+tt946DkIV4Z3rY4RNRPzQ6LgTCtHosKzlTiwDTOfqUAR1GwH1aAjHd955p9tAdODtNbY99NBDO/Cm8YozIaAytfihRx99dKavxWc9IhAKUY9A5fw13b4XLlwY/YxyZlIFYyMUCcf77ruvgqfFI+pCQGPb7bffvrjyyivrGkI8NxME1KJzII6QidEwJBSi0eBY610Ixs0226x48803ax1HPLxeBAjFbbbZptDbLKi9CDz33HNhFWgve3t+s5/97GfFggULisMPP7zna+KLMyMQCtHM+DTi09IycOeddzZivDHI8SFwxBFHpGafH3300fgeEneuFYGvfvWrSfENq0CtbKj94W+88UY6CF911VW1j6UtAwiFqAWcJBhVKo7O9y1g5pCvQDhuuumm0eh1SBxzvvyLX/xiNHXOmUEVja2sVB7xQ6MDPBSi0WFZ652OOuqoYu+9946+ZrVyof6Hl9bC2267rf7BxAhGjsCHH35YaNMQVoGRQ9u4G5599tnpICzTLGg0CIRCNBoca78LAanB58svv1z7WGIA9SFAOLIWLlmypL5BxJPHhsALL7wQ8UNjQ7c5N/7JT35S7LnnnoWmrkGjQyAUotFhWeudSsuAhq9B3UaAkJw/f370uGrhNLjxxhvDKtBCvvb7Si+++GI6AIelsF/kZv5+KEQz49OYT1kGdthhh9TxWPZBUHcRuPbaa8OK0EL2W9fHH398dDVvIW/7fSVrXIeCJ554ot9L4/szIBAK0QzgNO2jZcuWFZ/73OeK1157rWlDj/GOEAGnR7VJzjvvvBHeNW5VNwLWtfUd8WF1c6Le56tDpYel2nNiyoJGh0AoRKPDsvY7aeypUvF1111X+1hiAPUiwG02b968IgIu6+XDKJ9uXSvIGPXGRolq8+7FKiReNApzjp53oRCNHtPa7ujksM8++6RGf3FyqI0NWTz41ltvTW6zu+66K4vxxCCGQ8B61sBz6dKlw90orm48AgqvsgALsA8aLQKhEI0Wz9rvdvnll6diXU8//XTtY4kB1IfA9773vWK77bYr1KyJZq/18WFUT7aeP/OZzxTRxHlUiDbzPmrO7bHHHoUCrEGjRyAUotFjWusdv/3tb6cu2CtWrKh1HPHw+hE488wzw8VSPxtGMgLrWZr1+++/P5L7xU2aicC9996bLL+RTTwe/oVCNB5ca73rYYcdVuy1117FD3/4w1rHEQ+vFwGdsPW40+ohqLkIWMfW86WXXtrcl4iRjwSB0047rdh2222L119/fST3i5tMRiAUosl4tOK3G264IZ0i7r///la8T7zEYAjYSNUjWrx4caGQW1AzEbCO58yZU2jqGtRdBN56661ixx13LChFQeNBIBSi8eBa613Xr1+f0nPPOOOMWscRD68fAa4W9Uq4UoOaiYB1vGjRomYOPkY9MgS4yfQpvO+++0Z2z7jRZARCIZqMR2t+E0y70047FW+//XZr3ilepH8EymDcyy67rP+L44raEbB+rePVq1fXPpYYQH0I/PSnP02B1PrYCawOGg8CoRCNB9fa73r33Xen08TNN99c+1hiAPUhIMPs4IMPLvbdd98IyK2PDQM/2fpVjPHVV18d+B5xYfMRUGxVluHy5cub/zIZv0EoRBkzZ5ihvfvuu8Wuu+5aHHXUUYXTRVB3Efjyl7+cYsoeeuih7oLQwDe3bq3fk08+uYGjjyGPEoGVK1cWW221VfHkk0+O8rZxrykIhEI0BZA2/XrhhRemFPxnnnmmTa8V79InAt/97ndTTSJp+B999FGfV8fX60LAupVRxNob1F0EHG4XLFiQLL3Rp3K88yAUovHiW+vdn3322SRQlyxZEhthrZyo/+H63NlcX3rppfoHEyOYFQGKq3W73377RczIrGi1+wtr1qwpNt988+KWW25p94tm8HahEGXAhHEO4ayzzkob4fPPPz/Ox8S9M0dAcLVYlPPPPz8qV2fOK8OzXvUtiwJ8DWDWGIeodMYhhxySWjKxFAWNF4FQiMaLb+1353P+7Gc/W7AQhLm1dnbUOoDTTz+92GWXXYo33nij1nHEw2dGwDq1XlWmjizRmbFq+6f33HNPSo6J4qrVcDoUompwrvUpUvCdNsNdUisban/4Y489VmyzzTaFfndB+SJgne6www7F9ddfn+8gY2RjR+CDDz5IQfXz5s0r3nzzzbE/Lx5QFKEQdWAWPPLII6k78pe+9KXi5z//eQfeOF5xOgROOumk1BxS1dug/BCwPq3T3XbbrdCgN6i7CDz88MOp9c6qVau6C0LFbx4KUcWA1/W4448/PpV9f+WVV+oaQjw3AwTWrVuXMg+l4gflh4D1qT3D1Vdfnd/gYkSVIaDVzimnnFLsvPPO0besMtTDQlQh1PU+6sEHH0z9kC644IKwEtXLilqfrlDj0UcfXSxcuLCIIM1aWbHBw1mHrE+VqV977bUNPo8/dAcBJRe23nrr4oorrujOS2fwpmEhyoAJVQxBGu8RRxyRThwhbKtAPN9n6IWk6m1UMc+LR9Yli0B0tc+LL1WPRlD90qVLUxxZWPSrRT8UomrxrvVpCrypdnrRRRdF6nWtnKj34czxixcvLg466KBCWm9Q/Qiw3FmXgqm/853v1D+gGEFtCLz88sspCcZ8CKoWgVCIqsW71qf9+Mc/TtVOtfSI1OtaWVH7w9euXVtsueWWxV133VX7WGIARVqP1iWXWVC3EdCvTFaw/mVB1SIQClG1eNf+tK9//etpI1yxYkVUr66dG/UN4P333y8OOOCA4vDDD49YovrYkJ6sZ5n1uN1226WCjDUPJx5fIwLr169PGYYyDYOqRyAUouoxr/WJXCSLFi1KgZvPPfdcrWOJh9eLwO23354CN2+44YZ6B9Lxpz/11FMpsyysQ92eCOoO6SwgqD5kcz1zIRSienCv9akyzrRxOPHEE4sf/ehHtY4lHl4fAgLtzYG99torUntrYsP//M//FMcee2yx++67FxFAWxMTMnmsZIe5c+dGyYUa+REKUY3g1/lorQE22WSTQixJUHcReOKJJ1Igr6wWJ9SgahHQqywy/qrFPMen/eAHP0jxnV/4wheKKJpaH4dCIaoP+1qfLGBPEOeBBx5YWIxB3UVAKw8n0wceeKC7INTw5hIb9t5771QXKpTRGhiQySNZatUb0nOSlSioPgRCIaoP+9qfrGGgNHyLMRq/1s6O2gZgY953331TbFmcTqthg4xPVlrZRFrrBHUXAfFC6k+deeaZ3QUhkzcPhSgTRtQxDAHW6tHogB4pnnVwIJ9n3nnnnclKdOWVV4ZyXAFbxPGpRBy1ZioAO+NHvPfee8UJJ5yQFKIIpK6fUaEQ1c+DWkfw0EMPFdtuu21x6qmnFlKxg7qJgLYReidRjp9//vluglDRW7/99tvFoYceWsyfPz9adFSEea6PufXWW4stttiiiAaueXAoFKI8+FDrKNS82HzzzYt77rmn1nHEw+tFoEz/lnnm5Bo0egS4pjVunTNnTrFmzZrRPyDu2BgEvve97xULFixIFePfeeedxoy7zQMNhajN3O3x3bQKEGB98MEHF06vQd1FYOXKlUk5js16PHPghRdeSGvtuOOOK7RQCeomAh9++GHhICqQOpIZ8pkDoRDlw4taR3LjjTem9N+rrrqqUDk3qJsIfP/73y8WLlyY/kV7l9HOATWHTjrppBRI/dhjj4325nG3RiGwbt26FLO3ZMmSRo277YMNhajtHO7x/cQPHXnkken0qjZNUHcR0ARY4U7C2iYeNDwCDhmyOrmmL7nkkuFvGHdoLAIOGpJZWOUjXi8vNoZClBc/ah2N9F+L1GIN60CtrKj94WVcmU08LIbDs8Mho3RLx9oaHs+m3sEBw0HDgeOWW25p6mu0dtyhELWWtYO9mEUa1oHBsGvTVTZtMWU28bAYDsdZwbNleYuoOTQclk2+WgHG0koYzVvz5GQoRHnypdZRTbQOWMRB3UTA5i0N32ZuUw/qH4GwCPSPWVuvCCth/pwNhSh/HlU+wrAOVA55tg8Mi+HgrAmLwODYte3KsBI2g6OhEDWDT5WPMqwDlUOe7QPDYjgYa8IiMBhubbtKTS9xQ1LsI24ob+6GQpQ3f2odncVrEVvMUaivVlbU+vCwGPYPf1gE+sesjVeElbBZXA2FqFn8qny0YR2oHPIsHxgWw97ZEhaB3rFq+zfDStgsDodC1Cx+VT5a1oGDDjooZRs9+eSTlT8/HpgPAjfffHOyGC5dujQshtOwhUXghhtuSPWGzj333Gm+FX/uAgJhJWwel0Mhah7PKh/xROsABSmouwjY5BUXlD6s/UDQZARKi4BDRKyVydh06bd33323cHAQcuAgEdQMBEIhagafah+lRb3tttsWp59+eqG9Q1A3ESjjiaTj33///YVmpUG/QOC73/1usWjRomRNdYgI6iYCXKZaIG255ZZFWAmbNQdCIWoWv2odrZYDc+fOLc4555zirbfeqnUs8fD6EHj00UeLefPmFXvssUfx1FNP1TeQjJ78+uuvF8ccc0yxww47RBf7jPhS9VA++OCDYvXq1cWcOXOKo446KqyEVTNgyOeFQjQkgF26nItk2bJlqQnsRRddVDALB3UTgfvuuy8Vbdxvv/2Kl156qZsg/P9bs5ieeuqpqcL7l7/85U5j0eWX//nPf17ccccdaR4sWLAg+pQ1cDKEQtRAptU5ZJV3Tz755BRHwiz84x//uM7hxLNrREBZBhYRLT5eeeWVGkdS36MdChwStt5662jaWh8bsniy+LGdd965+PznP1+EyzQLlvQ9iFCI+oYsLnAiPuyww4qtttoqnYj+93//N0DpKAKrVq1KgaNHHnlk8dprr3UKBRbTK6+8sthiiy1Sra5OvXy87CQEXnjhhWL+/PlJIbrnnnsmfRa/NAeBUIiaw6usRiqAdOHChWkzdDIK6i4CF198cYqZOOGEE4o333yzM0DcddddxWabbZZih8SOBHUTge985zsFF9n2228fGWUNnwKhEDWcgXUO//nnny/22muvYqeddiqee+65OocSz64ZgbPPPjtZShTy7EJV82eeeabYZpttiv33379TSmDN0yy7x7OKchlLr7/22muzG18MqD8EQiHqD6/49hQEWIdkG8k6clIK6i4Cxx9/fLHJJpsU11xzTatrFL344ovJNbL33nsXL7/8cncZ3vE3/8EPflCceOKJyTq6YsWKjqPRjtcPhagdfKz1LdatW5cCCZ2UpB8HdRMBMTUHHnhg8d///d8ptqyNKKxfvz5ZhcSLROX2NnK4t3f64Q9/WJx//vkpuUSvx6B2IBAKUTv4WPtbSMPeddddi1NOOaVzwbW1g5/RANSnEltGKVKvSCuLttCrr75anHTSScVuu+1WPPjgg215rXiPPhGQWSiZwBwXNxfUHgRCIWoPL2t/k9tvvz25zgiJcCXUzo7aBiAFX2yNDUPGTRsCjtVaOvbYY1Mm0dq1a2vDNh5cLwLcZFdccUWqQn3ooYfWO5h4+sgRCIVo5JB2+4YPPPBAIbZi8eLFhViLoG4ioLGlfl6bbrppyrxpaqC1Ynvf/va3iwMOOKDYd999i29+85vdZGi8dWFOc5MJoFaIM6h9CIRC1D6e1v5GTz/9dEpD5TqRfRb9rmpnSS0DeP/99wv1ibQxkIHz9ttv1zKOQR8qJkqBPYX2VORWayaomwjIJjvjjDOKHXfcsVClP6idCIRC1E6+1v5WMs5sIrvvvnsh6DoqWtfOkloGQBnW9VtjYJk4TWkMLGiWC3i77bZL1qFIFqhl+tT+UEVnuf+PO+64JMv0KQtqLwKhELWXt7W/mVMVpUh7h69//euFTSaomwiIu1CvSkaOTK2ciSXr+uuvT42MxQ01zbKVM7ZNGttPf/rT5C5dtGhRio2MCtRN4t5gYw2FaDDc4qoeEWAROProo1MRO40v33nnnR6vjK+1DYGbbropZSKWQfc5ulLFiai8zTKkyCS3X1D3EJAIIF5M3Niee+4ZsWMdmQKhEHWE0XW+JiXorLPOSkrRJZdcEpV962RGzc/mhuJGdep+6qmnsirgyKJpnrJoalwsoDqoewhoYH3rrbemeSpB5PHHH+8eCB1941CIOsr4ql/7Rz/6UXHBBRcUn/vc51J3cJtPbDhVcyGP53E9qGy+zz77FPfee29hA6qTxLeVafXceiyZQd1EQC++q6++OinFiow+++yz3QSio28dClFHGV/Ha//kJz8pLr300iRsxGbIRguXRB1kA2hZAAAN3klEQVScqP+ZDz30UHJFKHKoYzxXVR3EennHHXekWDdj+drXvlbHMOKZNSOggKiG1cuWLUuWbEHUUUutZqbU8PhQiGoAvcuPZBX6yle+kiwE/PM2INWNg7qHgD54Nh5WQynNNiBKc1Ukc4wLl1WIa0T3+qDuISDZ41vf+lZx+OGHpx51y5cvL954443uARFvXIRCFJOgFgQELIojEa9x4YUXpsyjcKHVwopaH0oZZjXcZZddUtdwhT3H7ULjIlMW4uSTT07B01/84hdTvaxagYiH14IAFxkXqcBpTapvueWWWsYRD80DgVCI8uBDJ0chjkhckRM6F9ozzzwTLrROzoSiuO2229KGxG0loHlcLjQuMq03lIPQe8+zohxE9yYdF5nedOecc06qkcVSGcHT3ZsHU984FKKpiMTvlSPAbeZ0prL1zTffHC60yjmQxwO50CjGpQtNT7RRutC4QVijKOB77bVXuMjyYHvlo6AAq0DORUYpViMrak1VzoYsHxgKUZZs6d6gHnvsseKYY45Jm1W40LrH//KNx+FCCxdZiW78X7rIxIxRiqNRb8yJiQiEQjQRjfi5VgR0kr7ssstSPAkTNheadP2g7iGwZs2aSS40BT61UeiXwkXWL2Lt/D5LY+kiU3TztNNOi7ixdrJ6qLcKhWgo+OLicSCgeJ8gxy984QuphYJsIGX0g7qFwEQX2plnnpk2sF4DrlUa5nJTdbp0kd15553dAjDeNiHgoKXelYr5ioJqNBwHrZgcG0MgFKKNoRJ/qx0BBdGkYu+8887FiSeemErnh5+/drZUPoDShabj/IIFC1IQtGD86WKLWJFYk1iYDj300DR/zKPnnnuu8rHHA+tFgNIjm1ALlvnz56f5cP/999c7qHh61giEQpQ1e7o9OFYhJfT333//5O8XW6RWTZzuujcvFHI85ZRTPs5ItLFNrV/13nvvFc8//3xqILvjjjumeWP+hHWxW/NFjzwB9F/96leLxYsXJ9frNddckxTlbiERb9svAqEQ9YtYfL9yBFSQvfzyy1MxR6d+go7Akzob1B0EBEerEyNl3on//PPPTwryu+++m+pY2fR8pi2I+WLeBHULAXNBgsapp56aYhGXLl1acL0GBQK9IBAKUS8oxXeyQODhhx8uFNETE6KonuqygmaDuoXARAVZnNl5551XHHbYYanIp/lhngR1CwHKsqBpSRmU4oMOOqgQixjFXrs1D4Z921CIhkUwrq8UAYJP3SJtP6TOrlixIgXPCqIN6g4CeuCxFG666abFpz71qeLTn/50ijkbV0HH7iDbvDcVNC19Xg0r1sGVK1cWEjGCAoF+EQiFqF/E4vtZICCWSAaRrBHWgZtuuim5TUIxyoI9YxsE/q5fvz7xm/sU/xXYoxyzFnGVyS4TTxTUXgQEz0uyePHFF1O1aS5UwfOPPvpoe1863mzsCIRCNHaI4wHjREBPNFloZTaaGBNZSKEYjRP16u+Nn/iKvxP5jf9ITNnVV1+dAmilV2vJIcNITElQexAQMM0ipEaZJIuDDz44KcKyCiN4vj18rutNQiGqC/l47sgQkHWmFxaTuSahJ5xwQnKr2UC5VoKaiwD+4SM3Kb7iLz7j98ayDZ966qnkRtUKhuWQxYhiFLFmzZ0DRi6BQpVpAdPS6FkDuc1XrVqV5kez3y5GnwsCoRDlwokYx9AIsCKIJRBwrUfR8ccfX9xwww0p2HJjm+fQD4wbjA0B/BIki3/4iJ/4ir+9WP9YEC655JJU4POQQw5J7tUXXnghuVki0HZsbBv5jdWbUldK2YWzzz471aJShkOHeopyUCAwSgRCIRolmnGvLBBgOleZVkyBGBNtQFavXp022OhsngWLph0E/lCE8Avf8A8f8XMQl8i3v/3tZCVS+fyAAw5IqfpPP/10crtwvwTlicCHH36Y3KD4rkq5vmMHHnhgmhcROJ8nz9owqlCI2sDFeIdpEfjGN76RTpYqHXO1XH/99ak+jRYQg/TGmvZB8cHACOADfkinxx98wi8WAfwbBbEO6WpuY124cGEKxBWAyw1j8w3KAwEuUhliLIFqCZkHLHwshXgVFAiME4FQiMaJbtw7GwTULBJ7IC33mGOOKa688sqCpcBpM+KM6mET3OGPD/iBL/iDT/g1DnrppZdSwDXFyD9Kl3o1lDFxRmE1GgfqM9+TW0ygtFgvpRS4RsWKqTItdmxqRfKZ7xafBgKDIxAK0eDYxZUNRODxxx8vli9fXuyzzz6pgBtzvNMnYUwoh7VgvEyFb7n5wR3+CunhB77gTxUkNV+TT9aH3XbbrTjqqKNSnNEjjzySLBThWh0vF8RxyQDkHr3rrruSEixjjEIseF42YQTCj5cHcfcNEQiFaENM4i8dQIBZXqquDVlGkpo2LBN33HFHWAtGzH9WF5sbKwx84QxvuMMfH+oqpKde0QMPPPCxkqyeEVeNoF3WpHCpjXYysAoqkfDkk0+mqtLixCik5gMrIYU4gt5Hi3ncrXcEQiHqHav4ZksR0AndBshlI4jX/zKUuG1s1GEtGIzxcIMfHOE5EV9459aB3kbNfab/lSBs1iPKW+lSY9EIl1r/c4FLjNurdIlRgsVxlVZBcWKxxvrHNa4YPQKhEI0e07hjQxGQxWTz1g9Jaq8YE72x1DrRRZ15n2B3yo2A7MlMhgdc4AMneMENfnCEJ1zhO0i22OSnjf831qEbb7yxOOWUU5IbhyVDTSPj526TCm4TDwVpQ17gryB5CiYliEtMEUUxQRRNcVuCpmEYFAjkhEAoRDlxI8aSDQLaAtx9990pG8mG7kRrU2QxEPgpELjcGNXM6ZqZ3/t6b5saHOABF41W4QQvuJ1zzjkJR3g2lRR7vOaaa4ojjjgiWTVUwl62bFmKQVIfx6Zv86cEKCDYNWIB4hLVUkUrDanylEeWIMUxtdWgWGqvo+VOUCCQKwKhEOXKmRhXNggQ4mJfBP3qm0XASwd24lUj5ytf+UqKffC90nLQNgXJ+7CIeD/vKdbDe5ebnmBYMUFHHnlkqhTNAtC2zU9BSEHX3H2nnXZaUo4UjBQMLO5IDIxWIqxLpYLUBGtYvwtNYDwFSGFE5QxYgC666KLUUkUFaWuDRZAyfPPNN6c2G/0+I74fCNSBQChEdaAez2wsAhSDZ599Ngl6Al+xP8rA9ttvn7KluIiuu+66tHHaLAQSSy23gXAp5W5BMD7jNF7jNn7vQRHwXt7PprfjjjsmBWjRokXJKiQwmpusSyTgWkA2RUhmlIBs6eJaSqiure7R/fffn3BhRaMksZSxrOWuKHGBUnwEncsKZP1hCRP35XDABUb55QITd7dgwYLi9NNPT3Wk1HfyjkGBQNMQCIWoaRyL8WaFgI2tdBexFnEVOSHvsMMOyZIkMPekk05KJ2gxKSwIqiezngg4FnPD8sLtUCV5nud6vnEYj3EZn3E68XNzyP6x6ZUKkGrBFEFp0V1TgGbjD4WHu+jiiy9O7jUuQ02HzYeDDjooKU1ciopP3nfffUmxZk1iaaFccbn9+Mc/rtT9KgaK5UvAOOuf+C9uL25CVj4NcwWZC4hn9aHwyQqj9Gmy6/OHH344KU6z4ROfBwK5IxAKUe4civE1CgEb2hNPPJHiabjYbBo2EtYDG+NOO+2UNhVWFhWZKReCj8UrsTxRSigaNiWbJUWFdcFGZeOkvNh4WW9sok7v/ve7v/vc93zfda53H/dzX/f3HM/zXM83DuPh/rGBs3jJAKL8cAVdeumlSQFybVDvCLCq3HnnncmCtGTJkuRuZUnhWoS1uUCBVgPprLPOSt+T0Wb+lPOAdQ7/WGfwk8UOf927nAcUmXIe+HnqPHCNeeAe7uWe5gJrD2WGW0sWIDegmB9zlQJM8aEMGyOF6Nxzz01WQkpzk2PCeudgfLNrCIRC1DWOx/vWgoCNykZnw+Ni2dgGyapko6SQsC44hVOmWBdYargoKC/cM6w3XBTu43+/+7vPfc/3Xed693E/93X/8jk2Zhu0YGGZPwKHbeAsXixHQaNHgCuJUiLVXBD6TEozBZpCUs4DCioXpTg2gd3lPKDIUKhYKLk0WSQFtlO0KDislFy7FBuKLr5zc1F+WXxKBbiMhSoVYMoSxbpq6+XoUY87BgK9IRAKUW84xbcCgbEgMHGD1KZAU1OWm5UrV6ZTu1gNJ3MbHmsNi5PN0EZnA6Pw+N/v/u5z3/N917ne6d/93Nf9PceGbGPupXP8WF48broBAhOVZm5LwdtcUsoVcGFyt3FfUYApPZRfyhEliYWPwiTQnyIkholyJOhdRtwFF1yQXHnimii+AuJlfd1zzz3JYhgWnw3YEX/oIAKhEHWQ6fHKgUAgEAgEAoFAIDAZgVCIJuMRvwUCgUAgEAgEAoFABxEIhaiDTI9XDgQCgUAgEAgEAoHJCIRCNBmP+C0QCAQCgUAgEAgEOohAKEQdZHq8ciAQCAQCgUAgEAhMRiAUosl4xG+BQCAQCAQCgUAg0EEEQiHqINPjlQOBQCAQCAQCgUBgMgKhEE3GI34LBAKBQCAQCAQCgQ4iEApRB5kerxwIBAKBQCAQCAQCkxEIhWgyHvFbIBAIBAKBQCAQCHQQgVCIOsj0eOVAIBAIBAKBQCAQmIxAKEST8YjfAoFAIBAIBAKBQKCDCIRC1EGmxysHAoFAIBAIBAKBwGQEQiGajEf8FggEAoFAIBAIBAIdRCAUog4yPV45EAgEAoFAIBAIBCYj8H89wrCwIT8YFAAAAABJRU5ErkJggg==[/img]
Use straightedge and compass moves to construct at least 2 equilateral triangles of different sizes. Hint - start by recreating the drawing above.
How do you that the triangles you made are equilateral?
Close

Information: Copy of G.1.4.3 Spot the Equilaterals