La distancia de un punto a un segmento
Definiremos un punto llamado[math]P[/math] y un segmento llamado [color=#0000ff][img width=22,height=15]https://lh4.googleusercontent.com/L1HLZF1feL4sdFuD_o_cXSLka4KkdlH-37wnvX_SosEQ8Ciwd7pLRByRuqbpTCjlcnEm9oSqrepUnBaCWmSuMq4-L1tk6aBlVbqjMFabwjyZ6j3IPK0C9qDfTh7ILhoX8brHNeb2[/img]. [/color][br][br]La distancia del punto [math]P[/math] al segmento [img width=22,height=15]https://lh4.googleusercontent.com/L1HLZF1feL4sdFuD_o_cXSLka4KkdlH-37wnvX_SosEQ8Ciwd7pLRByRuqbpTCjlcnEm9oSqrepUnBaCWmSuMq4-L1tk6aBlVbqjMFabwjyZ6j3IPK0C9qDfTh7ILhoX8brHNeb2[/img] está definida como el [b]segmento perpendicular [/b]que parte de [math]P[/math] hacia el segmento [img width=22,height=15]https://lh4.googleusercontent.com/L1HLZF1feL4sdFuD_o_cXSLka4KkdlH-37wnvX_SosEQ8Ciwd7pLRByRuqbpTCjlcnEm9oSqrepUnBaCWmSuMq4-L1tk6aBlVbqjMFabwjyZ6j3IPK0C9qDfTh7ILhoX8brHNeb2[/img] o a [b]su prolongación.[/b][br][br][center][img]data:image/png;base64,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[/img][br][i][img width=69,height=15]https://lh3.googleusercontent.com/6gxTbnOekRqkF0afXZ9NM3Ydq2i2e1pClllfO0cuT9saVwEsUwYWFLdY15Nqk_ndn3Bo1IY2O46tBnVQ9R9i6UwTjBRnj32bbASAAvOP8KkwPjrsenWOB0x9D2wVsy8yK5H_U3nO[/img] [/i][/center]
Modifica el tamaño del segmento a discreción y responde a las preguntas propuestas sobre la distancia del punto al segmento
¿Cuál (es) de las siguientes afirmaciónes es(son) verdadera(s)?
De la siguiente figura, hallar la distancia del punto [math]F[/math] al segmento [img width=33,height=16]https://lh6.googleusercontent.com/HbAH2mebcysRnMelxS_0J_5vqBS9AfWWOyHrVuufme0xTdLK4IntOfXPUB0lQp4LK0oX604j2sOT7Wr086EsCqUVast05M61VBGsJS_kIs3BJhbKpUbsHm0V-A05JY9HyIvNIrWw[/img][br][br][img]data:image/png;base64,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[/img]
De la siguiente figura, hallar la distancia del punto [math]F[/math] al segmento [img width=33,height=16]https://lh6.googleusercontent.com/HbAH2mebcysRnMelxS_0J_5vqBS9AfWWOyHrVuufme0xTdLK4IntOfXPUB0lQp4LK0oX604j2sOT7Wr086EsCqUVast05M61VBGsJS_kIs3BJhbKpUbsHm0V-A05JY9HyIvNIrWw[/img].[br][br][br][br][img]data:image/png;base64,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[/img]
De la siguiente figura, hallar la distancia del punto [math]F[/math] al segmento [img 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eyH6sE+UcfQQlk1GaWWigO0cUJBVUsEwkgASSABCKdgNdut3Z06E6fln34ITMf49JowGjx4sXwYiaF0O0G8rrd5qYm2YYN3IQEMu6ftrSUNICbkCDLyTE2NAx5rsghkXDGjyfL5FCUbMMGVkxCBoWdxyPnsYYQ2U9bWgolmJubgXAYBHRxwgAZq0ACSAAJIIEIIqArK/P/+MKhKNPVq2ClurAQnAD+u+/KNm7UlZfb7twBhSAKdh5PXVjInzIFalTm50P5Lq3Wl/Ny/HjJ2rWGS5c8JhNcGrgAC2uYW2DDFIeiRPPnW9rb+yjKfP06Y9iQI/t5bDZdebkv5afX20dFQb+ELk7QkWKBSAAJIAEkEEEEXFqt6do1p0QCNgVcPOtbiVJUBDrW9nbVgQOmxsaAcxugNkyht7ISMkCBf8NE0iND//nyNjz89WoQ9Xq9+vPn+ZMnGy5dgrs8Vit/2jTepEm+XVREBGSapj1ms2/Zcl0dKNM03VtZyTpDXo1YGV2ciO0aNAwJIAEkgASGSMB2/35vZaV8yxZBWhrjOujOnIGy9Bcvkv4EyIqdO0EnPIJ03TqonSWYrlwZvg1kEk3+5MlkyD7bvXusqR0msp/wqxDJvNTUfqP5Dd+8UJeALk6oCWP5SAAJIAEkED4Cxvp6lq/AHD6031sgYE7yUlKk69ZpP/nE0tbmsVhCaqXX6TR+8YX0gw/0589DRQGtlaxaZaitHfJSG6Zwl1IpfziJJoeilHv2QNX+AkT2+xpOairpEvnr93PG6xUvXqz5+GOXWt2PZsguo4sTMrRYMBJAAkgACYSSgMdksty8qS0uZkeIeTh8C/PC5k+ZQtqiv3CB3BtFXgq6bOvuVu7dC0tue5Ytgyo8NhvEDxSkp2uLi4f/XcyXRPP4cabVrP8K0tLI719gBk3TrMh+zI1DXnxD07SpsRFqH1ScQNKqYcro4gwTIN6OBJAAEkAC4SPgEIkMly4p8/NF8+bBG1Q4Zw5YEHC/tzA9XbFtm9duB7UwCC6NRldWJpw7F+wEgfRjlLt3K3buJLdQDdM2l1rtnyScm5SkPXkyoH/zqMh+w1x8I1q4ENqrOXp0mI0a2u3o4gyNG96FBJAAEkAC4SbgUirhrckSyGUlooULuYmJPStWqI8cMTc1BTFizaAaTO7JYlk7nNmRgdjA2meu2Latjwg6/vM3vMFE9gtoj7Wj49smx8eP1LcqdHEC9g6eRAJIAAkggREj4HU4rJ2durIy2YYNghkzSDv406Z9++4kPkiRaSnJORLy3pDKHpvNUFtLpnliRfUFs6Vr11pu3gyiMW69XpmfT36t87rdTMBA8aJFtvv3+61LlpsL5g02sl/AwqU5OVAgmVY9oHLoTqKLEzq2WDISQAJIAAkMgoD5xg3VgQPiJUvg7cgI5EuaDJXLoSjJqlXaTz6xdnYOoprgqnq91o4ORV4eLznZt9k7NZXcg00GJhbOmaM7fZqMLhgUQ3Tl5dykJA5FcZOSXFotlGm9fdtQWwuHfQses5mJYjyEyH7+JftCCxLep+3ePX+d8JxBFyc8nLEWJIAEkAASeIiA22g0NTWRmbclWVnkqxFkcn6i99NPezIzNcePW9rawry25iHradqlVGpLSpgt1mAqh6LIAL5MYF/lnj227m7W7cM/NDc3C2fPJquWb948wGKVu3ZJsrJIZTuPF6zPZ8r8fLCKlUiLrDEMMro4YYCMVSABJIAEkICPgMdqNTc3qw8dguDChpoaQKP95BN4NZKC+vBh0IkQwdzURFpIyvKtW8FIj8UScIUvKAxNcIjF0rVryUpB7jeYDRPZj9H3T7o5NHtYd/VWVkKk5qBE92GVP/BDdHEGzgo1kQASQAJIYIgETE1NATNmk5kKLLduMa9e3qRJ0vXrdadOWdvbR3aqBlrrsVjI5T4ekwm8CpYw8KkUKHxQgtfhYD6KseoVTJtmamrquyg7j8eadhrmtqlHVed1OHqrqnzb48ObsYFlD7o4LCB4iASQABJAAsMi4DYazc3NmuPH9RcvQkGG2lrWK5k5FM2bBzrMil2HWAxnRl7weCytrfKtW33Ra+LjyZU05BJdX6anBQt6KyrCs3tLd+YMCZObkKAuKurXF2RF9mNKGNkPSaHuX3RxQk0Yy0cCSAAJxD4BO5+vv3BBsXMnucBWsmoVtNwpl5NvZUYWzp4d/pwJYFLfgkMi0Rw7Jpg+nTSbXBVkunqVQ1H8yZNVBw/audy+SxvmVWtXF+kv0jQt+CrNAoeielascIhE/ZbvvzOcQ1GKvLx+b4xqBXRxorr70HgkgASQwMgTsHO5pB8AMjcx0et2g338yZO5SUmS1as1x4+bm5vJSDagEwmCW6/vycyEVpCCaP580kIyMzl5PoiyS62Wb97s2zD1zjvkhinT1au+zJq1tQP5EuRUKiG2MjQn+J+ovN6e5cs1R4+OyKb9gMzRxQmIBU8iASSABJAAm4DHZrO2t+tOnZKuX09+YKJpmtm3DK9PEOwcDpQSOW8+MAkE1gcmwXvvQRNYQtii2Hntdm1xMVm7Yvt2MJim6UH5iIa6Oihq+JH9SDNAtrS0QBWy3Fw4P4ICujgjCB+rRgKDJuA2GkXz57c89pjyETPMHqu18+c/v/3jH/sXbe3sbImL8/+BF0+/hfuXiWdGAwFjQ4OqoAD2QMFrzKVUQvNZ+735774r/+ij3oqKPoLqwr0jKHjdbvP167LcXG5CgrW9HSzxz/EkXrpUf/78sNJSQukDEIxffAE50gE4h6L63TBFls2ylvlWFZTIfmQtIJNjQHXgAJwfQQFdnBGEj1UjgcERMDc3d7z8MoeiWp966lEujmTlyrbvfCegi+Ox2Sw3b5I/wpkzO3/xC6/TSdP0QAofnLmoHbUEXCoVudVZtGAB+ZYF2dTYCE3UFheLlyxRHTxounLFSbg+oBBpgp3HUxcWwt5mXxbuXbvASIdYzDRTMG2a5ujRMK+AZoU3BOCCGTOsHR1gZN+Coa6Ol5rKcol6KytZfk/fhQz8quOb5O0+a+PjnQrFwO8NnSa6OKFjiyUjgSATUBcVaY4fp2m69emnA7o41vb2tu9+V5yREdDFYVnjlMtv/c3f6KuqmPP9Fs66HQ9jiYDX7bbdv9/76afyzZuZyQNLays0ULl7N7xlSUF18CDoRJGgr64mM0RCi3gTJ5KOnebo0eCmWRg4IkNNDVjFCH0k0QxYrHLXLuZGYXp6iHwaVr3yrVvB5lBvm2dV3cchujh9wMFLSCBCCQR0cbxud/evfy1bv16ZlzcQF0c4a9b93//ev4UBC/dXwzOxQcBYX9+zfDm8nEDQFhdDA8n93ryUFGl2tra01HLrlsdqBZ0oEqQffADNZAnkvFSYW8RaWEM6YfKtWwe+AIiM7Me0TpyREeq2uDQaTnw8wHQIBKGucYDlo4szQFCohgQiiEBAL0Sxc2fXuHFeu30gLo6dw2l98klzoEBhAQuPoMajKcMg4ItYc/MmmTNIV14ObyZSIKP7O2UyZX6+oabGIRQOo/IRuNXrdJoaG6XZ2frqaqjeePky2VJGlqxaZait9dhsoBY2gUmiyUtJcet0UKm1s5NDUQNMogl3+Uf241CUID091J8OyZzqktWrwZ4RF9DFGfEuQAOQwKAJ+HshDqGw7bvfNdbV0TQ9EBdHOHt2wCmcPr6CDdpKvCEyCDiEQkNNjSIvTzh3LvM6JzfmWLu6/N/3grQ05d69kWH+EK2w3bun2rcPdkr3ZGZCQV6HwxfH76s8kYL0dG1xMay4B52wCbozZ2AzmmLHDrJeS0sLediv/KjIfmH4UGWoqxPNn88gHazZ/bZrOAro4gyHHt6LBEaGgL+Lw/nrX/lTpjDW9OviuA2GtueeI79EkM3wL5y8inIUEbDdvcubODGABzNjBrTC63AwCvypU+Vbt+ovXHBKJHA16gSXRqMrKwNnjmw76cco9+xR7NxpvX17BBvon0STQ1HDydYpWb2abG/4I/tZu7pClPRqyN2ELs6Q0eGNSGDECLC8EO3Jk+0/+AHs4O3XxdF+8knrmDGP+tuOVfiINRIrHgwBr8Nh7ejQlZWpi4rgPpdOx3rnwSGZ39vY0DCQ8LhQbCQL5BcTaCwjBCuN9vCb7+jpka5bxzKPOSS7b7AVecxmCHnMoajgR/YbrEERoI8uTgR0ApqABAZJgOWFCKZP94920xIXF3DXlS/0+4wZ9//wh0fVySr8UWp4fsQJOOVyX8SaAwfEixeT70tyWxD5zuNQFC85WZqdrSsvdxsMI27/8A1gclr1frMrkKZpO4dDogBZsnbtSG2P8m9mb2UlGAaCcM4cMjCP/10Bz7AW2dh5PF5KSogi+wU0IMIHEro4AXsNTyKBiCbA8kLcOp2jpwd+ZOvX337pJUdPj8dkCtiMjp/8pGfp0oCXcC3Oo7BEwnnWtpqA6aY5FGXt7ARrma28kjVrtKWltrt34Xx0C16vtaNDkZfHEOClppJpIsgkWcI5c3SnTrG4jXzbPR7RN+uifH5nSkpvRQXZhAFa6HNoUlNZ34asHR0sv2eApQ1FzesVpKVJ1qwZ2U9+fViOLk4fcPASEogsArbubiZwX+uYMT1LlzIy+Sc7Yy7rQ5Vk5crWJ56Alnjd7pbHH1cVFMAZRhhg4ay78DDUBNx6vfGLL1T79gnnzGEFt5WuXw9zAKSgLS0Fq8jM2HAyegWXUqktKRHOnEm2l0NR5uZmaJS2tJSXkqLcsydyXDrb3bvixYvJxUC27m5fE+LjlXv2DG0ihEzIMFLfpEzXrkFHkAu6oS9GXEAXZ8S7AA1AAgMl0P3WW/4fpPxDUPTt4jjl8pa4OO0nn7BqHWDhrLvwMEQErB0dqgMHRO+/D68QRtCfPw816k6fhqu8SZNkH36oO33a2tHh7/XCLVEtmG/cgPayBPmWLdA0j9kcOQRcKhWTRJNDUdKcHDCSpmldeTkr9DB5tW8ZIvsxHPyjGPd9e7Cu9qxYAR0RmUnL0cUJVl9jOUgACSCBIRJw6/Xm5mbyhac6cABeHqSg2LkT6rBzOKp9+wx1dY6eHjgZYwKZW9tjNpMoSFm2aVOkNZxJogm70xlrzdevD9NO/8h+zKeu8E/k2Pl8sgscEbkRD12cYY43vB0JIAEkMBQCdi5XX12t2LEDPruoDx+GgkyNjeT7A2TWTADox5jgVCh0p0+LFizgJiZ6LBZonWzTJkDBoSjRggW9FRWsJOGgPIKCqbFRMGMGaSojC2fNGo5Vdh7PPxmqID2ddI6HU/6g7lVs3w4NlGZnD+resCmjixM21FgREkACSMBHwPzll6w/7plXRc+yZQAI9ntzk5IkWVmaEyfMN2+yYvyDcswILq22t6JCvHQpvDs5FEV+mzM1NXEoij95surAATuHE5kNN1+/TtoPsjQ7m1yOMwTjyfU3TLHiRYseFf1hCOUP/Ba3Xs9NSICmWYgk7QMvJAya6OKEATJWgQSQwCgl4LFaLbduaU+eJAMtOoRCeDewBBKT4dIlO5dLnolh2a3XS1atYtFgDsVLlpANN129Sh5Gouz1QqhfpgmCGTOCZTYZ+GcEl79ojh+HzhItXBiJvfCVTejiRGzXoGFIAAlEJQGnRGKsr1cVFIgWLIDXAH/yZLIx/vu9BTNmyDdvjsBvLqTZIZWF6emAiyVE/r4wXXk5ufCfyTDFtEJdWDicfKUes5m1CVyWmzvikf1MjY0wvI2ffx7SgTGcwtHFGQ49vBcJIAEk8BABXz4EIuUy+ap2SqWgKl27lpuQ0JOZqS4sNF25EnGBW8DQ0AhOmUxbWip6/32HWAw1aD7+mMTlS0K5ZIm+unpEPsSAVf0Klps3mSA3rPSTso0bezIzyQb2W5S/gsdsFmdkiDMySAges9na0eGvHP4zvkRgBw6Ev96B14guzsBZoSYSQAJI4FsCtu7u3ooK2aZN/HffJVfJ+C8IZd7cxsuX4WbW3+VwPrYFl1rde/aseMkScGU0R49Ck51yOXOeP22a+siRYToHUGzoBKdUKs3Jgbb4wvPcvAnVkUMCTg5KYCL7MeWTid8HVcgoV0YXZ5QPAGw+EkACgyBgaWtTHz7cs3w5+WJjhZ5TFRSQV3mpqdKcHG1paWTuqh1E44ehqr9wgYyhAnwEaWlkqZqjRyMnzQJpGEv2WK3qoiJyvS3TIuHs2bTHw1Ie2qH/ymJWFOOhFTv8u6LrWyq6OMPvcSwBCSCBmCXgNhrJP8cSegxzAAAgAElEQVQhjBu8pBmBnI0wNjSIFixQ7tljqK2N/KmI8PScNDubRQwOI+Sby8A5uNRq/pQpYD8pSNevJ0fLwMtkaaoPHSKLZeSIcHG8XtHcuT0rVlhaWlg2R+YhujiR2S9oFRJAAiNGwM7n6y9cUOzcyayxILM89lZU+L97OBSl2LZtxMyNvIp9S21OnrS0toJpxoYGf2681FTl3r3R6AVKVq9mNUc0d25Q5p8iJ7If9B0pmG/ehIaLFiwgL0WmjC5OZPYLWoUEkEC4CVjb2yVr1/rvdZITkXO/Ti1EURyKEqanK/fsMTY0uHW6cNsakfW51GpdeTmkPZd9+CGY6XU4IBQQb+JExY4d5ps3h5B4EgoMs+DLdCsQQKUOgQDe9LzkZF15OVwapuAxm9nJ4VNSRiSyX8CGkBv7ZRs3BtSJqJPo4kRUd6AxSAAJhImArbtbV1bWW1EB9VlaWuC9RQr8d98FHZqmFTt2GC5dcimV5MnRLLt1ut6qKv/1SRyKIr/aKPfskW/ebG5qipwEUgPqNa+3t6qKN3GiOCOD1Ffm5w8niSZZFEv2rTJOSWFG4EhF9mOZxBySjh2HoiIny2lAa5mT6OL0AQcvIQEkEFME7Fxub0WFNCcHpmpEc+dCCz0WC+nZMLIgPV2+davHZgM1FFgEAi4cYejpq6tZytF1aLt/X7xoEYwKY3092O/W6YI4ucIqillrPIKR/aCZpCDfsgVQiJcuJS9FrIwuTsR2DRqGBJBA0Ai4dDr4yxge04zgMZmgGuZ91rN8ufrIEVNTU3RtHoFWhFpwSiTkGmE7h8NCyhzyJk0iJ8lCbVVwy/eYzap9+1ghjgTTp3vt9qBXxKQNZ+XRZDk9wa10CKU5FQqShqmpaQiFhP8WdHHCzxxrRAJIIFQEvA6HtatLd+aMbMMG1obkR+2CIVeJOhWKUFkW/eW6lErdmTNM1B9WOknhrFng5fBSUhR5eZaWlihaasPqHMNnn/EnT4YWkQLp27HuGsIhE9nva48wNTXS3BqyRaqDB4GDcOZM2uslr0asjC5OxHYNGoYEkMBACZibm1UHD5Ix5ZjHsf3BAyhCtnEjPKOZVI6yDRt0ZWXo1gCigMLXS22WLSPp+ZZi3LsH+rpTp7hJSfItW3xLbZxOOB+VgtfrP5A4FCXfvDm4QajJyH4MW2F6OhnFOKLoOWUyRV4eEwpIf+FCRNnWhzHo4vQBBy8hASQQoQTcer3HYgHjJFlZrBcwc/jQfu/KStHChar9+4319U6JBO5FoQ8C5i+/DAiWQ1Fk5H6P2RxLy5V8eVKJLByi998P+tJa/8h+HIqS5eZGrIvDDBKXUqk+dCiKFoyji9PHbzdeQgJIIGIIeDx2LldfXa3Yvp3J10gm/yPzHpOvZPnWrRHTgKgxxKXVgq0es5nkScrCOXNALaoFr9vtW4S+fj3ZCtX+/b6pvqlTDTU1Qf8oE3CBdkRE9iMRxISMLk5MdCM2AgnELgHzjRuS1ashqgq8ZclZBHKygZecLFmzRltcbLl5k1xKHLuEgtMyp0KhKysTLVzITUwkp2TkmzYBcw5F8VJSlLt2+cL6BSlTQXCsH2op5i+/FM6ZwzSQdJo9ZrPm2DFypnCoNQS4T5GXx0LKWmsc4J6ROxXVYZ/QxRm5gYM1IwEk4EfAY7FY2trIRZ0Bp/R9aaiJbatug0GxY4e+utrO5/sViSf6IuDSans//bQnM5N86Rpqa+Eec1OTz7NJTpZv3Wq+ccPrcsGlqBacUqlk7Vqy1fwpUzxWa3gaBfGReZEU2S9g20ULFwrnzOmtqIjwj2gBjUcXJyAWPIkEkED4CDjEYkNtrXLPHtGCBcwrR7puHVTvkEjI9xDIvm0d+G8YBNwGAxmsFsByKEqydi1ZsKmxMYqWX5CWB5Q9Fgu5P4hsuLa0NOAtwz9pvn6ddBGYKMYRFdkvYButXV3Ah5ecHPQ98wErDeJJdHGCCBOLQgJIYHAEHGIxb9IkeIaCwEtOJguCHbw9mZnqoiLTtWvkehFSE+VBERDMmAHMHxLi42M4JpB869aHGvtVOg5uUlLoovj0VlX5VhM/nPHAGQ0BsmUffgisFNu3D2p0RYIyujiR0AtoAxIYFQRsd+7oysuVe/ZAa70OBzxAWYKdwwE105Urtjt34BCFIRBwGwy9VVXijAwy+IrmxAkWdl9qzPx8y61bsbHUJiAop1zObH7+uu3x8cr8/BC5dB6zmYnsx9QVXWuKfROoxM6yaPwKjC5OwF8BPIkEkEAQCLi0WtOVK+rDh3sejqpCLmAUL11KvmW5iYmSNWt0p07hPE0QOoCmvW63+cYN2caN8FJXHzkCJTvlcgY+LzlZsX27ubk5ZpbaQBtpmnbpdJqjR8kz4Nv1LF9OOtOkzvBlMrIfDPJIXlnMarJyzx4wu2fFCtbVqDhEFycqugmNRALRQcCt15Nf68mgt/Cs5FCU6epVaA+zKqJn5UptcTG5yhgUUBgaAYdAoC4s5E+dSpLnUJRgxgyyQN+HvytXYmmpDdk6r8OhPXmSm5TEoSj9uXNwyet09ixbZmxogDNBF/wj+/nWyC9aRM6iBb3SIBbo1uu5EybA4DFduxbEwsNWFLo4YUONFSGB2CTgNhpN166pDh4UzZ/PoSjfduJv/rE2x8LjUnXw4DcqtFunI70iOI/CMAkEDNHLdIG1vX2YhUfF7aarVwXp6TDqeBMnug2G8FgecBtg5Ef2I+HARJfPLU5LC3pwILKu0Mno4oSOLZaMBGKZgO3+ffXhw0zGIniLcChKW1ICzTZ89hlc4k2cKM3O1paUWNrbw7Y1FyyJecGt0+nKykj/Un/hAsAHwbfUZu9eh0gU20AcIlHPihXQahAUO3eGp+G+KZyUFKiXQ1HRtQrH93VPpVLu3ctM5IRuIXaouwNdnFATxvKRQCwQ8KW3bG8n0xJpS0rIJzjI0uxsaLBTLlfu2mWoqXEIhXAShSAS8DqdpsZGaXY2Z/x4356dnBwo3GOxQLxE3sSJih07zDdvRm9qTGhXv4KhthZGIykI0tN9y6jD9Q8mcngpKVG0/oaFx6XTqQ8dClEIRFZdoThEFycUVLFMJBAjBKxdXdqSEghTptixAxpmvX2bfH+ALF60CHRQCB0B2717qoIC1lQBh6LIbzHK/Hz55s2mq1djdalNQLwupRLWVjPDkvvOO9qSklDnB7XzeKzFZOrCwsiP7BeQYcycRBcnZroSG4IEgkbAIRJJ162DOQBwX4SzZkEdHpsNzvesWKE5etTc1BSinbdQKQoMAXVREcBnCfrq6lFIiTU9Q+Ysk37wQRgi0JivX+elpvJSU1mriclwf9HSL+7e3mgxtV870cXpFxEqIIFYJuD7AtXRoSsrUx8+DO10KhSsFycckk6MsaHBdv8+3IVC6Ai4lEpyhsDS2go9Qgq85GRdeXnozIjAkp1yuWzDBg5F9Z49C+Z57Xb+1KmC6dNNV67AydAJTGQ/piPEGRnR6NaQcCRr1ghnztSdOUPOCJIKUSSjixNFnYWmIoHgEHAqFMaGBtXBg+LFi8kXJPk5gz9tGnmJybosy811yuXBMQJLGQABr91urK+XZGVx4uPJKTTa43loN3h8vHTtWmNDA9mDAyg+ulU8Nhs5m8XaMGW7cycMq9pZkf2YXxlJVlb0krXzeOQvvttojN620DSNLk5Udx8ajwQGT8Dr5U2cSD7FQLbdvQvF+YLcjx8vzshQ7d9vbGhAzwbIhEPweq2dncpdu3jJydA7HIqydXdD7erCQg5FCWfP9oVJVKvh/KgQvF5DbS3/3XdJOByKUhUUhLP5ASP78VJSyPm2cNoTlLoU27YBVfmmTUEpcwQLQRdnBOFj1UggtATsDx70VlXJN28WpKU5JRKoTPrBB/AUIwVya6hLo8FwNUAsnILtzh3hzJlkv4CsOnAALHFKpaMzqYVTIhEtXAhMSEE4dy7wCbXgVCp5qalk7dEV2S8gH5dG81DGhgcPAqpF0Ul0caKos9BUJNA/AWtXl+boUf8M0sb6eriZtd+bl5ws/eADbXFxNOaggUZFtUBmtHAplawXJxxicnWapj0mk/8+Mt7Eibry8jBviRcvWgRd49uxn5sb7atw1IcPQ4uiNGMD6zmALg4LCB4igSgj4LFYyCXAqgMH4CFFCuQcvqW1VTR3riIvT3/+vEMgiLIGx5C5HotFf/Fiz7Jl3IQEj80GLetZuZLsO25Cgiwnx7f32+UCndEs9J49+y2fUCbR7Buyx2yG6MlRF9nPv2keq5XcRGm+ft1fJ+rOoIsTdV2GBo96Al6vQyw21NYqd+/25UyIj9ccPw5QjJcvf/v0pyiQRQsXgg4KI0zA67W0tsq3biXfKIbaWrBKf/Ei03Gi99/vPXuWdGFBZ/QILrVasW2b/sIFaLLX7WZ8i57MzHBOPXrMZjJ4N03Tdh5PkJ4evZH9AClN07ozZ+Bx4Zsv9HrJq1Eqo4sTpR2HZo9GArb796XZ2f4rAHpWrgQcTpkMnlMciupZvlx95Ijp2jXyUwgooxBmAh6LRXPsmGD6dLKPGFmyZg0Y4zGbVQUFuCGfSaLJ8OFNmkTu7jHfvGn84gsgFgbBzuMx6UpYXk60f5wCdG6dTnvypCAtzZey9OJFOB/VAro4Ud19aHwsE/BFrOnqMt+4AY203b/v/2pkzoAOTdOKHTt6KyrI3TfkVZRHkIDX7WZtkvq2Q+PjXRrNCNoWaVWbrlwRvPfet3woSrl790gZyUT2A2NiY9rmUTBNTU0xE30AXZxH9TKeRwIjQMClVJoaG9WFhZAmWjBtGmkHPGRB4KWkyDZswEkaklKEyG6DobeqSpyRQUa8Ve7ZA33HCNwJE+QffWT+8kva44kQy0fWDDuPFzCJJoeinFJp+G0jI/sxXcZLTQ1DxOTwtzT2akQXJ/b6FFsUlQS8DofAL9oe8zwlH6Y9y5dzKIqblCTNztadOYPfMiKws71ut/nGDdnGjZApSV1UBHZau7rAxREvWaKvria/v4DaqBU8Nhs3KQkQgSCaO3dE4s0od+0CG0DorayMpQ6yczixGloJXZxYGqjYlugg4NJqjfX1yl27BDNmkK8339phYoEwyMaGBmiY5dYtMkAfnEchEgg4BAJ1YeFDcYe/6lDB9OmkeT2ZmeqiIodIRJ5EGQjoyspg8PvCak+erD9/fkSmuJjFN6Qx0R7ZDyCTgmjhQm5CgjI/36lQkOdjQEYXJwY6EZsQBQTcer2psVG1b59wzhzyiWm+eROsV+7dS17ipaZKs7O1J086enpAJ7oEt9Eomj+/5bHHlHl5pOVeh0P24YedP/9527PPdo0bp9i2zf8FZu3sbImL8/9h4ix7rFZJVlbnz37GlCDfsiXMMVHI5oAMnxfJfmRkS3s7qKHAImC5dYvcUEbTtHDuXIab6sABj8nE0g/boaGujuxK8aJF5DfHsJkR0oqsnZ1kG106XUirC3Ph6OKEGThWN1oIuI1GcoZGlpNDPkdA1pw4AUSMDQ2i+fOVe/YYPvssBv7ENzc3d7z8MoeiWp96iuXiiObPb/vud9WHD1taWxU7d7Y8/rhi507gwAgem81y8yb5I5w5s/MXv/A6nb5X4HvvdYwda2psdKlU+urqtu9+V/rBB6wSQn3o1ul0ZWWWlhaoyH/Rhu+rYmKiYscOh1AIaigAAUiiyU1MJL+VWDs6JKtXR4JzzyTKiI3IfoCdFKTEo0m6di15KQZkdHFioBOxCZFBwOt1CIX6ixcVeXnMVA35wZ419w4uTlRn7Oubu7qoiAnY0/r006SL43U4br/4ovyjj+B2XlLS3V/9Cg4DCk65/Nbf/I2+qsp31eNpe+45sgRhenrnq68GvDHoJ71Op6mxUZqdzRk/nkNR0pwcqMKt1zMnmf7tWbHCcOlSGJJBggFRJHhsNs3Ro9wJE+B3IUIyIqkPHWJN1UhWr46ByH4Bx4ZDIiEzNlhaWwOqRe9JdHGit+/Q8kghYL19W7p2rX9uS/mWLWCi7e5deJRzExMlq1Zpjh8337hBzvSAcowJLBfHv3U9mZkdL7/sf548I5w16/7vf//1Ga+37bvfJd+Iwpkzu157jdQPhWy7f19VUMCOSzR+PBkZRZqdLUhL05w44ZTJQmFDLJT5iCSaHIoakQXFgNRjNss2bvSlmsrIIPsUFGJPUObnw3NJFMYMX2EjiS5O2FBjRTFCwGu3W2/fthBraCw3b8JjghQE771Htlm+dWtvVZU9+jPbkY0aiNyPi+Px3P3lL3kpKX0UZedwWp980tzUBDqSlSs7xo41Nzd7bDZTY+OtF15Q7d0LV0MhqI8cITuXlPXV1VCju7cXZBQCEmClpwCS8q1bXVptwFvCcBIi+zH2yDZuDEOlI1uFW6+HTX8ciiLT2I2sYUGsHV2cIMLEomKWgFMuN37+uaqgAHZYiBcvhta6jUZ4TJMC/9138SMFTdN9uziy3Ny2Z57pO2m2cPbsb6dwGO4eD3/SJFiMTHYH9MswBZdSSU4qWFpbyc4FmZecrCsvH2Zdo+r23ooKoMcIwvR06+3bIwjB2tHBnpyjKFYU4xE0L0RV9376KXQEK/5WiGoMf7Ho4oSfOdYYTQTcvb38KVPgQUAKXrsdWiL6ZgOIePFi1cGDpsbG2Nt+CY0drNCHiyPfvLn1qad0Z870UabbYGh77jltcTGpI5o3r+OnPzV89plTKtWfO3f7pZeCtVLSa7cb6+slWVmc+HjBjBnfVurxPLQbPD5esnatsaEhZuLAftvSEEjWhzeUCWfNgl8lVs+GoPJ+igy4SFzx8B7AfoqI2svmL7/sWbaMQ1Gx6qajixO1YxMNDwEB2/37vZWVvj3MxD/+5MnwOCYFa2cnaJlv3LB2duLbDoCQQmAXx+sVL1rU9uyz+nPnSGV/WfvJJ61jxpBrIxwCQctjj+lOnwZlVUFB65gxboMBzgxa8HqtnZ3KXbtYCRbIPBjqQ4c4FCWcPVtbWkpu/xl0XaPpBlNTk3DmTG5CgkuphHabm5o4FCVZtYoJAQDnwy9oS0rIX2pGJjcKhN+k8NdobW/3WCzhrzcMNaKLEwbIWEXkEnDr9eamJs3Ro6yA8WT6YnJTJfME5KWkSD/4AEPwDbBfA7o4PUuX3nrhBdO1a/0WIpgx4/4f/kCqGevrW+LiLLduwUn9hQstcXFD7hHb3bvCmTP9X3UcilLt3w+1OGWyvj+ogSYKNE07RCLfZNg30SzlmzeTWMjN9uT5MMses5mXkgJGxmRkvzAjjajq0MWJqO5AY8JNQLx0KTzdSIFcQKotLeXEx4vmzVPm5xsuXfJFrPF6w21oNNfn7+LoTp1qHTOGXD7cR/s6fvKTnqVLSQU7n98SF6c9eRJOKnftannssUH9JUpm9XIplWTvk7IwPR1qQWGABNxGo6qggNw/zyC13bs3wBLCqWbn8RgvJyYj+wUkaefxRsmXdHRxAg4APBlrBBxCoaGmRrlrl2j+fPLNCnG9yLcah6LkW7cCArdeP4LxVcGMqBNs3d1M4L7WMWN6li5lZK/D4bXbO37yE35qKhnWz3LzptflomlasnJl6xNPQGO9bnfL44+rCgrgDCNw/vIX31qc2lqnTGa4ePH23//9AH0Rj8ViqKnpWb6cm5DgsdmgWMmqVQ+NgfHjZTk5pqtXGatADYV+CRgvXybnRUiqI77shjHeUFfH+hRlqKuTrF5Nfgztt5lRreCbXRs/3heRUiKJ6ob0azy6OP0iQoVoJeAQCrUlJdLsbFbEGjInoqmxkXwEi+bPVxUUmK5eHQ3hakLdr91vvQU7nkBwCASWW7fgkBSYZRksF8cpl/smbD75hGWtW6/vWbKk85VX2p59tvPVV6Xr1vWzec3rtbS1KbZt4yYmQo8bLl2CYg01Ncx50fvv954969br4RIKgyJgrK8HwiCI3n+fXLs2qAKDq8wsqOJQlPn69eCWHC2l2Xk86BcORTnE4mixfAh2ooszBGh4S4QSsHZ1kbt89RcukL/JIPdkZkIDXEqlcOZM5e7dxoYG8ssFKKAQ7QQ8Vqvm2DHBjBkwAEAgQ0t7zGZVQQFmbh9ad7OmOclcXb4kmhcuDK3Y4N4Fkf2YAcBLTWVFMQ5udRFbmnzrVvgVED/8CThibR6yYejiDBkd3hgRBGz37+vKyqTr1jF/nUvXrQOzHEIh/CaTwgC/aEA5KEQ1Aa/b7R/y5OvxEB/v0miiunUjbrzX5dKdOsVNSiInA2z37vmScyUkqA4eHNQCqdA1hxXZjxkA4kWLQldjZJbs0mjIjA2mq1cj085gWYUuTrBIYjlhJeBSqWQ5OawvUByK4k2cSNoBawJ6MjPVhw+brlwZwfCppGEoh4iA22jsraoSZ2TYuVyogpXC3ff2nTBB/tFH5i+/9M9wDneh0C8Ba0cHpASXrFlD6utOnyadHvJS+OWAkf3EixaNnsU3wJxcfSicOTPmd06giwNdj0LkErDdvdt79qxyzx4w0WOzkRMzpEzm6DZdvYq7fAFaDAtet9vc3CzbtAkC0pMrrqxdXTBCxEuW6Kurca3VMAeDW69XbN8OVBnB3Nw8zGJDcbsz0HY5RV7eKPRvPFYruRaN3DcaCvKRUCa6OJHQC2gDm4BLqzVduaI+fLgnM5N8jJLLZSCXAijwJ0+W5uSQIW3Y5eJxzBFwCIXqoqKH4g5/FYiFP20a2VbfNF5REen+kldRHhQB/cWLMD8Kv30cihItWDCocsKmrMjLI+1kbacKmxkjXpHhs8+AAy81dTSEKkUXZ8RHHRoQgAAZ3x1+J32bIIhEjKqDB33hahYsUO7ZY6iri/ndjwEw4SmaJle2kkOFQ1FkbEBEFSwCxoYGFmfmUJGX59LpglVL0MsRL1rk+5CdkjJqN1IxSC23bklWr+ZQVIRs4A96R7MKDLmLk5tLUxR99iyrXtpgoBMSfJfcbvYlPB49BOw8nv7CBcWOHcI5c8gvSoodOwI+RjVHjwIcl04XISsZwSQUwkDA2tVFTsYETDDETUz0xfwQCsNgz6irwuMRLVhA/nqKlyyxczgRxcHO40mysshPUb7tVLm5o3MLlX/X2Lq7R0lYhHC4OCkpNJGV+WvaFy/SEyeii+M/9mL/jJ3D0Zw4IVmzhpUMqJdwhPXnz5PPUG5ioiQrS3P8OJkwKPZJYQsJAnYOR11UJEhL41CUYvt2uOLW68kouj0rVhguXeonRg7cjMLACGhLS8lkUsyGKQ5F8adONdbXD6yM8GkZ6uqYPXSyjRvDVyvWFJEEwuHi5OTQ8fE0K4hiVhadnY0uTkQOimAb5bHZyH1M2pMnSfcFZPlHH0HNdh5PmJ4u37pVf+5cpP2BCEaiEAYCDqFQc+IE68MlNzGRnMCTZmcL0tI0J044ZbIwmDSqqmCSaPpSZmZlkQ1X7dunOX6cDA9NXh1BGSL7MQ8WbUnJCBoTOVU7hMLROYMVDhcnL4/OzKTJkabT0ePH0xUV6OJEzq9AkC1xymTGy5dVBQW+T+Dx8crdu6ECS2sruDWkwJ8yBXRQQAI0TWuOHydHCCmT0eTcvb2IK+gEfEk0v1q0AdgHkjM16GYMvEBWZD8w20lkOB94aTGmKduwgUNRPZmZxvp6r9MZY63roznhcHF27PCtxZk791szzp2jlyyhr15FF+dbJrEhOcRi2YYN/ClT4PnCCEKi+z0WC3lVvGSJurDQ1NjowidRbAyC4bWCXLJquXWLHCog85KTdeXlw6sH734kAV8Szf37yc9/DHn+tGkRuwcnYGQ/XkrK6Jy6YHWtQyIhw/2Nqj2nYXJx1Grftyoe72vyK1b4nB50cVgDMRoPbd3dxi++AMudCgW8h1gCubpNVVCgKyuzdnVF7BMTWoRCeAjY7t9XHz4smDGDTK9BezwP7QaPj5esXWtsaMBhE7pOccrlATeE81JSej/9NHT1DrNkQXo664EzOiP7BcSo3LMH4LA+OAbUj6WTYXJxaJpetYpmdsMw7o5ajS5OVA4kt05nunZNfeRIz/LlzK8NNymJbIn/FA4vOVmanY3rJEhKKDMEHAKB5vhx1lIbcmWr+vBhDkUJZ83Slpa61GrkFgYC8Kv99Xtx/HhVQUGEB0tkpZYcnZH9Ao4Nt17PnTABXJzIDM8Y0PKgnAyfi3PxIp2W5osWXVFBr1jhMx5ncYLSheEsRDR3LvyqkAKZvFCWm8tckmRlaUtLbXfvhtNCrCtaCNi6u0Xz5pGjCGRyiahTJiOjCURL66LLTpdSSSZbIJO7SbKyyC36kdwuQ10dM4RGbWS/gL2jLS6G3yzhrFkxn7GBBSF8Lo7R6AuE093tW3pcXe0zA10cVmdE1KFDINBfvOgL50XkKexZsQJ+W0iht6ICjGel+4bzKCABkgArHSA5nHwPYvwXFgIem01z/Dj3nXfES5aQFaoPHxbOnGkiIm2SVyNB9pjN4owMa0cHaYy2pGSUR/YjadA07XU4eJMmwS+X/tw5lkLMH4bPxaFpOieHLijwOTrMBgh0cSJqeHksFktrq/aTT6Tr1pERa0yNjWCn+sgR+G1hBPHixZqjR8mUh6CMAhIAArZ799SFhaL5871ErE/JqlWs4SRMT9ccO4ZLRIFbSAVjfb1g2jToAsNnn0F1EbgbHGyjadrO4zGRb3ipqThaSDIs2XTlCvQvb+LECO9WlvFBOQyri9PQQL/zDr127deWo4sTlC4cciEem41cAqzMz4dfBlJQHTgAVZiamphMNKqDB83NzWTwUNBBAQkAATuPpzl2TEgsBSWXAhhqapiRJpg2TV1YaLt3D25EIaQE7ByOf+ILXmpqVPxGQ2Q/ZvCIMzKiwuyQdmgfhVs7O6Xr1nEoikxM24d+jF0Kq4tjs9FJSfSlS18zRBcn/IPJ63BY29s1J04wKwo1H38MNhhqa0nPBmTxokWg47FaSa8IzqOABOYO4TEAACAASURBVEgCHqtVW1wccOWWfOtW0PRYLMq9e623b8MZFMJA4FHZUUQLFjil0jAYMJwqWJH9mMeUoa5uOGWOhnvtHM7oXK0fchdnNIyeyG+jS6nUnjwpycoCx4URyA2ETqmUvNqzfLm6qMjU1EQm9478lqKFkUDA63Yz3xHIEcXI3ISEUThbHgmdAjawAvr5klMmJ/uW03k8oBOBwqMi+6F/E4GdFTkmoYsTOX0RTEusXV1kUm5rR4f/y4Z5tJG1Knbu7K2owDxQJBOUB0LAdveuurCQ/DNRVVDgP+R8S22OH4/w7ccDaW/U6ZCTrw6RiOwaWW4uuaUgYpumLSkhzfY9vjCy36N7y3r7tr66GiNIoYvz6DESVVdcKpXp6lV1YWFPZibzIBBMnw4t8DocrKcDc8ifPBmjmwMlFAZLwM7lao4eFbz3HjOcdGfOQAm2u3dhyAlmzFAfPkxGFgA1FEJNwNHTI1m9WjR/PrlbmHFAhenpltbWUBsQxPJ92WAoivnByH59g5WuXevLk/ruu7ry8tE8b4ouTt/jJAqueh0OclsEPAI4FEX+cQbhvEQLFqgKCoz19Y6enihoHpoYeQQcYrG2uFg4ezY52Jh16KSx4qVLVQUF1q4u8iTKYSPgMZlUBw5AHxlqa6Fqt16vLS6Gw0gWyKXEHrOZibyMkf367jJHTw/0O4eiRnNwsmC6OBUVFblf/asgoqT03RN4dbAE7FyuvrpasW0b6Zg/KoSa6epVKN/S1mZpb/dYrXAGBSQwNALipUvJBygpj6r0N0OjF467vF79+fP8yZPJruFPneq128NRe/DqUO7apdy1iyzPzuNhZD8SSEBZuXs3dL146dKAOqPkZHBcnMrKyrFjXxk37u033sh6442scePeHjv2lcrKylECMaTNdBuN5i+/1Jw4IcnK4iYlwcAlY14pd+2C84zAS06WZGVF1yx0SDFi4cMhYO3qcgiFUIL+3DnWeGMOfR8+2tpADYURIWDt6BAtWBCwg8gQnSNi28ArZSL7Ma0go10PvIRRq+k2GrnvvAMDIJLjN4ahj4Lg4lRWVj7zzPNvvllNUb7M4czPm29WP/PM8+jlDL8LZTk5MFhJQXf6NBTOxBcRzpql2LFDf+GCLxaW1wtXUUACQyNg53DURUWCtDQORSny8qAQt15PpqEWpKWpi4rsHA4ooDCCBBTbtpEPCkbmTZrUW1UV4XumABpE9oOGYMxigNOvoC0tBW7CmTNH+bsgCC7O2LGvsPwb8HLGjn2l3/5ABYaAQyIx1NWp9u0TLVhgqKkBLLrTp2G8koJswwbQ8ZjN5I4JOI8CEhgCAYdQqDlxgrXUhpecTO7OkK5fz586VXXggC+BFPrTQ6AcsltcWi35RzwnGpJokjBYkf2Yh54sN5fUQflRBLxuN3/qVHhT6M+ff5TmKDk/XBenoqJi3Li3YfKGJYwb9zauy+ljJDmlUt2pU7KcHDKNiO8v5h074C7//d49y5apCwstN2+CDgpIIFgENMePw/ORJZCpPDBaUrCAD78cl1KpOXaMLAcyL/qSaBJfGEmdyJQDRvZTFxZGprURaJWltRV+bXmTJpF/lkSgtWEwabguTm5u7htvZLE8Gzh8442sXPS+H+5Gl1IJJ8gEIjAuORQlTE8HHY/Nxn/3XdnGjbrycky5DFhQCCIBl04HpVna28mhSMrKPXtALYYFt9Eomj+/5bHHlMS3Oaa9yl27On/+89ann+76x38kI4OTNLwulyQrq+Pll1vHjLnzr/+qZ3IOf6XhMZslK1d2/PSnbc880/mLX8g+/NDrcpH3DlaGJJocijLW18PtXru9JzMz6hZh2Hk8crwxMkb2g24doOCUStWFhbzUVO0nnwzwlhhWC62LM27c8rS0NE9kB80Mde+6tFrTtWvqQ4d6li3jUFTPihVQo0ut9v+V9gUzmDzZY7GAGgpIIBQEmJjXwlmzHtpz4fWSE90cihK8997oybRqbm7uePllDkW1PvUUy8VRFRS0Pv206sABa2enYufO1ieeIN0X6CDJypVt3/kOM88qnD279cknYcKVl5h4+6WXtCUllrY21b59rWPGSNesgRsHJ3i9viSa06fDA4Q/ZUoM7Jc01NVBizCy3+CGxMPaXocDXyI0TQ/Xxen7Q9Xf/d2vfv3rXy9YsODs2bN6vf7hLojxI4/JJN+yhVmqCb+0jEBOHkJIG15KiuzDD3s//RS33cb4yBjp5nntdmN9vS+bR3w8jEynXA52qYuKfH72tGmqgwd9oa5H01IbdVGR5vhxmqZbn36a5eJ0vPxyz/LlQIk/ZUr3b34Dh4zgsVpbn35alpMD5+/+8pe8pCSapt06XfuPfkT+Yc2fOvXOv/wLaA5cCJhEk0NRZMbcgZc24ppk5BuaphV5eRyKwsh+I94vsWHAcF0cmqb7WG78ne+8QH3zb9q0aceOHROLxbEBjtUKp0xmqKkh19DQNM2bOBFeIaRABkPTnTqlO3MGA7+yeOJhKAg4ZTJlfj4vOZkcjYxMvnqdcrmlvT0UBkRRmSwXx3bvXktcnPHzz6EJ2uLilscecxsMcIamaWtHB0tNtn79rRdeIHVA5o4ff+/f/x0OByg8ase+aOHCaEy90ltVxUtNZcVY15aUsPyeAcIZzWq27u7eigry7+fRTAPaHgQX51GbxseMeS4+Pv4bD+fr/0+YMGH37t1dMRHw1KXVGuvrlfn55FSNQyAAuNIPPmC9S3gpKdJ163BJDSBCIZwEHBIJa0DCoWDGjHBaEvl1sVwc/blzLXFxDuIvNHNTU0tcHCv0lLW9neXiqPbubYmLc2m10GTLrVv6qirRvHnt3/++6do1OD9AwSmXcxMSoOOYIP2+yMVRONkGAb3EGRno0wxwADxKTbZhA7PIQVtaip+ogFIQXByapvsI/dfQ0LBu3TqWo0NRVG5ublNTE9gRdQIznsgHDSM/tN/71ClfVPv58xV5efoLF6Jra0PU9QgazCLglMk0x4+LFizwut1wSbxkCWvQ+lJjHjvmi6WE/wgCLBfHN2cTF0eGZrB2dvq8GWKRL03THrO5dcwYcoczf+pUn29EbGt68PbbLY89duuFF1T79g3QLzF/+SVhGg0bpjgUpT5yhAx0TqpFskxG9mMGpGzjxkg2OMJt8/31Qnx3trS0RLjBYTMvOC4OY24fCRxaW1u3bdvm7+isXLmypqbG6XSGrcGDrcghEhlqapT5+aL588kdCgETKXMoigw37jYYMKnyYIGj/jAJeCwWQ00NpCTjUJT5xg0oU3/+PPNGEUybpi4stN27B5dQIAn07+Iw36QuXybvomlavHDhreef1544Ybt/X7puXfuPftQSF+eUSEg1j9WqP3eu/Qc/EM2bR573l5kkmhyK8gXu++af1+kUpKXJNmwgV1B9czEK/u8f2Y9ZfMP6XBUFLYkYE5V79sCfLqK5cyPGrpE3JJguTr+t4XA4Bw8eTElJYfk68+bNO336tEaj6beE8Cg4RCJtSYk0O5tJ+QZDR3P0KBhg/PxzOM8IPStXqo8cIfMqgDIKSCAMBCytrQEj28o3b4baPWazcs8e6+3bcAaFgARYLo7+/HnWhyrT1au+D1W3brFu91itwtmzb33ve7e+9z3B9OnK3btbHn884ESLcteulsceI79hkUV5LBbVwYPwkOElJ5OxiKL3b6eAkf0kq1fjhyqy9wclu/V67oQJMFRwmz1JL6wuDlOxQqE4efLkrFmzWI7OlClTioqK+Hw+aV94ZK/D4VKroS79hQswXEhBsmoV6LjUasG0afLNm3srKqJxlR80BIXYIOAxm1lLNGDochMSAr5iY6PhIWoFy8Wxc7msz1KaI0dan3jCYzL1bYAkK6vrtdcYHZ+PQkTQ6K2sbImLC/D0CJREkxURtO9KI/mqeNEiGJmMgJH9htlfmhMnAKkv2SrxYXqYJcfA7SPg4jDUrFbr+fPnMzMzWY4ORVF5eXm3Q/9XpkupNH7xhergQfGSJdyEBPJLcMAIVByK4iYk4OiJgUEfG01wCIXqoiKXSgXNkW/aBE86EPhTp6qLiqL3j35oXZgFlotD03TnL34hzsgAM7jx8ff/9/+GQxA0H38MCZW8Llfnz37G/Glk+uILn5NUVwea0rVrW594gpX92yEUPiqJJmvDJpQTXYLHbCZnx3HKYZjd53U4yOD4urKyYRYYY7ePmIsDHBsbG3NycvwdnZycnCtXroBasASXWi3ftIk/bRq8AxiBP2UKWQWZ01u8aJFq/37j5ctOmYzUQRkJhJ+A22jsraoSZ2Qw45Z8opmbmmBUcydMkG/aZG5uJqcNwm9t1NVo6+623LxpuXmzdcyYnqVLGZnZiKv5+OPWp55S7d1rbW+X5eS0PvEE7CGXrFzZ+sQTTGN5Eyd2/MM/GGpqLG1t/NTU2y++yAQ097rdd3/1q46f/ER78qT5yy+V+fltzz4rXriQhYidYYqimC0LASZ7WHdG8CFrkQ3zNyRG9gtKj9l5PP6UKcwvPjcxEb/3saiOvIvDGNTe3r5z505/RyczM/P8+fM2m420u6SkJDMzc9689/Py8oTEVgVSB2T7gwfkrgeP1QqvAZZA/h5qjh7VlpZab9/GGX4gicIIEvC63ebmZtmmTayvUaL588Eqr9vNS00VL16sP3cOp20Ay6CE7rfeaomLY/1AJAjV/v2dr7ziy8zwz//ce/YslEy6OG69XvDuu+0/+EHbd77z4O23bXfvgppLqRTNndsxdmzbM890jRsny8lhpnC8djsZzkT7ySfwaOImJurKy6GEaBSsHR281NTeykrSePP16/gyJoEMR/Y6HPrqakFamvrQoeGUE5P3RoqLw8Dl8/mHDx+eMmUKy9eZNWvWyZMnlUplbW3tz3427pe//H9vv731z3/e+5vfzHnqqTEbH95t6DYazc3NmmPHJKtWcRMTmYcF+ck84DwwLzkZ12DG5BCPjUb1ZGbCa48lkOGw3b29sdHe0dMK09WrgrQ0cjbOa7czOTRkGzc+ajFytPAhEzLgVoxQ9xp6jf6EI8vFYezTaDSnT5+eO3cuy9H54x//+PjjTyQlla1bR8PPokXCV1/9t5xvIqZLVq1ivQCYQzKwBOyvE86erdi5U3/+PPmS8GeEZ5BA+AnY7t8ng6mQoVDIES6YPp0VfS78pmKNQyPgEIthb79vwxSR4sbU1ASZrYZWeCTcBZH9mBHLS03F8EuR0C+jyoZIdHGYDnA6nTU1NStWrABH54c/fImiisC5AWHxYulzz33vzp07NE3LAq245FCU5tgx6Ff7gwfm5macyQcgKEQOAbdOpysvF82f79tBs3MnGOaUy0nPhpuYqNi+3bdjOQpj2kKjRq3g1uuV+flkrDZfSK0YSuTuH9mPQ1G8lBScyAnimLfz+bpTp2Ig92oQmfgXFbkuDtja1NSUm5v7hz/84fnnfwRuDUv43e9WZGdn0zStKy8n3wS+lXoLFvhCnH3lAEGZKCCBiCLgdblMV69Kc3I448fDAOYmJpJLNJjAxD3LlxtqavC5FlHdNyhjdOXl5G4G6G4ORZGhKwZVZkQp23k8YXo62S4msh9O4QS3mxTbt/scx9RUbXEx/sX+KLZR4OIwpu/ateuf/unPLM8GDt95p/Sdd1J8afC6ujgUJZw7V1VQYLp6FTv+UR2P5yOHgP7CBXIbLfluMH7xBdhp6+52SqVwiEI0EvCYTOQWX+hr8aJFMZOLt7eyEtrFCBjZL+hj1aXRkDsPTCHYfRx0m0ekwKhxcSorK//rf/1P8GlYQkLCid/+9t+lX70Aon2B3oiMA6w0zARcOh3U6B8pG94Qyvx8UEMhNgj0VlVB/0Z1Es0+ukORlwdtxMh+fYAa8iX1oUNA2JdDFz9YPwJl1Lg4AoHghRf+juXZwOF//+/pr7/+elJSUkFBwT1Mu/OIzsbTI07ApVZrS0uFs2aJlywBY7wOB2z9Yx5bvIkTlfn51q4u0EEhSgl4HQ7N8ePkWkDa4xHOnu0LJTphgubo0dgIS+Exm8mgG75cXV9FMcbIfqEYtx6rlXxi6M+dC0UtsVFm1Lg4NE1PmJD4f/5PLrg1IKSnf/nEE0/+6U9/goXJmzdv/vLh3Lyx0VvYiigl4LXbjZcvS9asIVeYkjkUFTt2+Jyb+HjJmjXGy5dZEW+jtNVotqW1VZCWxgRGZwIAMkx8IY4+/JAcAFHNyqlUijMyxBkZ5KZlj9mMi29C1K26sjKYwuFNmkSu2AtRjdFbbDS5OEKh8OWXX/njH7eAc7NuHT11at3f/u3fJyYmgn8DQlZWVl1dnRdn8KJ3eEa/5U6ZTJmfz0tOhkcSCNriYmif7c4d7cmTZDYGuIRCNBJwqdWyDRugrzkUJdu0KRob0q/NTGQ/pqXKXbv61UeFYRLwulxM2CSGuebjj4dZYGzfHk0uDk3TXC73z3/+f//lv7zy1lvT/+f/nPP66/8+duzPSktLaZru7u7et29fUlISuDiMsHDhwrNnz+qJmBOx3aPYuogi8Kh8ZxyK8n1Bx38xR8DrduvOnAm4Z8ra2RljzSUj+zFvXG1JSYy1MdKa4xCLyQREGO2z7w6KMheHaUx7e/uRI0cKCgo+++wzVvOkUumJEyfS0tJYjs706dOPHTsmFotZ+niIBIJIwCmTaT7+WLRgAZmulQlyQ/5Bz5s0SbV/v/3BgyBWjUVFCAH/TNpM16v27XMbDBFiZFDMYEX2Y5rJStQQlIqwEBYBr9ttqKkRzpql3L2bdQkPWQSi0sVhtcH/0Gg0VlZWZmRksBydCRMm7NmzpwtXcfojwzPDIOCxWg01NRCplkNRkGvaF6sJPpyPHy/NyTFdvep1uYZRG94a0QR0Z86Q7iyHonpWrHCIRBFt9CCNe1RkP3LYD7JIVB8KAYyK0i+12HRxoNkNDQ3r1q1jOToURW3cuLGpqQnUUEACQyNgaW9XbN9O7m5gXm/yzZuhQJdaLZo3T1deTm4Uh6soRDsBr93OSm8nmjuXGQaCGTOMDQ3R3kB/+51KJSuSkyA9HRcX+4PCMyNOIMZdHIZvS0vLtm3b/B2dlStXXrp0yel0jng3oAHRSMBjs5HRt8i/3bkJCbGxGTga+yWcNhs//1yQlsZ95x0yMLGtu5ublKQ9eTKGt7qQi8wwsl94hpxTItEcO0ZuzQtPvVFdy6hwcZgeevDgwcGDB1NSUli+zrx588rKyrRabVR3JBofBgIOoVBdVEQ+YuSbN5OeDSPzJ09WFxXF2MKLMOCNrirsfH7PihXQ+7KNG0n7Y/ILAivDFLPWWJGXRzYc5dARUO3fz4w3aU5OzMTCDh0upuRR5OIwDVYoFCUlJbNmzWI5OlOmTCkqKhIIBKEmjuVHHQG30ag/d068eDHzfNGdPg1NMF+/Di857oQJsk2bzM3N5Fpj0EQhZggETKLJoShLS0vMtJHVEI/ZLNu4kUNRLC+Hdci6Cw+DSMBjMnEnTICnjaW1NYiFx3BRo87FYfrSarVWV1dnZmayHJ34+Pi8vLzbt2/HcJdj0wZKwOMxNzfLN20inyy+DGizZkEJXrebl5oqzsjoraqKyT/coaUoMAQMly7xJk6ENw0I/ClTTCOxvM/rckmysjpefrl1zJg7//qv+urqgD3Vt5rl1q17/+t/tT377O2XXhIvXux9+Ns9E9mPaSkvNZUVxThgdXgy6AS0JSUw2ERz5wa9/FgtcJS6ONCdjY2N69evZzk6FEXl5ORcwcRmgGlUCuQOKXi4MAK5stJNZJsalZxGV6MNNTWswcBNSFAXFY1U7nfJypVt3/mOurDQcvOmcPbs1ieftNy86d8lfag5RKJbf/u3onnzrLdv91ZUtH//+z3LlkEJZGQ/puGsKMagiULoCHhdLjJ7q7G+PnR1xVjJo93FYbqzvb19586d/o7OsmXLzp8/b7PZYqzXsTkBCdju33cIhXBJW1zMepkxh4Lp0wO+ReBGFGKMAGt+riczEwaGNDt7BNO/e6zW1qefluXkAPC7v/wlLykJDhmhbzXR/Pl3/8f/gFuMly8bvok35h/Zj0NRirw8MlED3IhC6AjoL1yAIcefOhU/hQ8cNbo437Li8/mHDx+ePHkyy9eZPXv2yZMnlUrlt6ooxRABt06nKy9nAvQpduyAljnlcnis+NIMJSYqtm2ztLVhUl9AFPOCx2pVHz7MTUx0SCTQWIdQyImPF82dO+KerrWjoyUuzvj552CbbP36Wy+8AIeM0Lfa7R//WLFzJ+sWmqYDRvbD4MX+oEJ+xusVzpwJzyJdeXnIa4yhCtDFYXemWq0+ffr03LlzWY5OampqYWEhh8Nh34DH0UnA63KZrl6V5uRwxo+Hxwc3MZHc6CtessQXum35ckNNjcdiic6GotVDJKC/cIE/ZQozNnpWriRL8Xm6EfDP2t7OcnFUe/e2xMW5Ht4f2oeaS6ttiYtT7d/PTUhoe+659u9/XzR/PhPvQJGXB78XHIripaRgZL8R6XOXUin8JtISLzkZH0SD6gV0cQLjcjgcNTU1K1asYDk6FEVt3769LTIecIFNx7MDIKC/eJEVuwye5mSsNtudO07iz/cBFIwqsUDAdveu6P33YUgwAjkwIqSRHrO5dcwYWW4u2MOfOrUlLo783krTdB9qtu7ulri42y+9pC4stHM4muPH2557rmfJEpqmvTYbJKPAyH5AeKQEa0eHfMsWzdGjI2VAlNaLLk4/HXft2rXc3Fx/R+eDDz74nJgf7qcUvBwBBMjgwqbGRtYLDA6V+fkRYCyaMDIEXGq1fMsWGAykwIp8MzL2+dUqXrjw1vPPa0+csN2/L123rv1HP2qJi/P3yx+lZu3sbImLEy9cCAVL165tffppZi7TYzbzUlIwsh/AQSHqCKCLM6Au6+zszM/PT0hIYPk6ixcvrqqqMpvNAyoFlUaCgEut1paWCmfNEn/1tyljgtfh4CUnky8w3sSJyvx8K+YvG4k+ipw6jZ9/To4KRuZNmqS/eDEy12B5rFbh7Nm3vve9W9/7nmD6dOXu3S2PP+4fWftRag6hsCUuTn3oEE3T2pISa2en/vz5lrg4iCyHW8QjZ3CiJUMggC7OIKCJRKKjR49OmzaN5ei89957xcXFMplsEGWhaogJeO124+XLkjVrOPHx8NJyyuVQ7ddLDeLjJVlZxvp6r90Ol1AYzQTEGRkwYJgNRKwdVZEMR5KV1fXaa/1aCGpet7vt2WflmzbRNM1LTbXz+fqqKt+nrv/f3pmARXWd/98uWdqmTZdf07SNWWxj2qZp2ixN+mvyS/pvSLNdUJBFA6IBNxAQBUXcFVBRNnHFHRVBobij4IoLGJHNFYdhHfZtgGEYYJb/M7nJyfUO2zDbXb4+eeKZe895z/t+3jszX++c+56qqiGNoIOlCegraAcHK/qrAmDpqQVjHxLH6FS2tbWlpaX5+vqyhI6zs/PmzZvv379vtEUMMCuB3trahrg41k0a+kurZf9+MlX33bstBw/2NTaSI2iIkAC9DwOz0FH3/fv01VI5c2b3vXscZ9KcmEhWAWv7+m698IIsJMTQ50G6ST777N6bb+p0OhpCdVBQwc9+xs1bVoZxCfsIeaityt8fhaRHlmtInJFx02k0mqysrIULF7KEDkVRa9eu/fLLL0doF8NMJsDcIJD5z3EJRZVPmWKyeRgQCAF1e3tDfDx9k49Z7E7/vHRcXGtqKi+qj0hdXIqffbb99Omu/PwyN7eiX/2K7KEmW7Dg5ve+R2droG6a7m5Fbu7NRx6pnDGj68aNxk2bbj72WH1kpEByzOcw1HI5c5ffzitX+ByNzXyHxDEV/fXr11evXm0odBYtWnT27FmtVmvqBBg/FAFFTk7jpk3MXnSRG6a+kbq6Nm7ZQlYYMDujLTYCWrW6LT2d9UgdT79C1HJ5uYdH4S9+kf/DHz6ws+u+e5dkkylx+u2muH6dXkPdnpFx969/vfnoo0W//W3t8uU6jYYYQcNWBFoOHCCfYBXe3rivNrJEQOKMjBt71L179zZt2uTk5MTSOn5+funp6XK5nD0Ar00koNF03bzZEBtLvqiUjJ3FWg8f/vrTwcGhZvnyzsuXtX19Jk6I4cIgoCwsrJgxg3x5kEa5lxcvbtuYMQvK4mIJRclCQ1FqxYxUzWJK29tbNmkSuTgH2nrMLHMJ2wgkjjnzK5PJ9u3bN3XqVJbQ8fT03Lt3bxVW8JkDtvL27cbNm5nvf/qDgFmYuK+pqdLHpzUtjfmguDkmhw1+E1CVlZGvDWajbNKk9tOn+R3biLxvO3qU5lC7YkVvdfWIbGCQ+Qm0Z2WR61M6cSKzHqn5JxO0RUgc86e3o6PjyJEjAQEBLKEzfvz4+Pj4O3fumH9K0VjUdHczf58mnwL0BguGz8qKBgwCHS6BmuXLH7psxo1r2rHDVptoDtdp8/VTSaXMtdU6na4+JgaV/cwH2DyWKmfNIldp87595jEqSiuQOBZM+/nz55csWcISOhRFhYeH5+TkWHBiYZnuvHaNue1f3Zo15M1PGmWTJjXt3KlubxdW6IjGDAR6a2qYxQJ6qqvJZVOzfLkNN9E0Q2xGmmg/e1bq5iZ1c2NVu2G+v4w0ie7mJ6CWyytnzyZXqRrrHExgDIljArzhDc3Ly4uMjDQUOgsWLDhz5kwf1oj0h1GrVnfl5dXHxNBLbdrPnCG9FLm55M1fOm5cbUSE4vp1sa2iIDTQGITA15tojhsnCw1ldmvcurWCA5toMl2yQrslKYm8caoCAiBrrMDclCm6792rj4pq3LLFFCMYC4ljpWvgwYMHW7dudXV1ZWkdHx+fw4cPtzy8bZ6VfOLgNFqtsri4YeNG1lIb2cKFxFmtWi11c6sKCGg7doxHNdmI/2hYhwBzE00JRTEfmBLb6lqNQlEbHk70Dd1oiI21TiIwCwjYkAAkjlXhTD1xlQAAIABJREFU19fXJyUleXt7s4SOu7v7zp07y8vLreoN9yarXrCA9UFMXvY1NRF/1a2tpI0GCLAI9LuJZtnkyeJcs9nb0MCq10xvG85akcNiiJcgIAwCkDg2yGNXV9eJEyfmzp3LEjr29vaxsbFFjIefbeCcdafU9vQw78Qw76UTcUM3Os6ds65rmI1/BLQqVd3q1awrh35ZHRQkwkrWvQ0NUjc3FpAqf3/WWhz+ZVqgHvfW11cFBnZeu4YqOObKMCSOuUiOxE52dvby5ctZQoeiqJUrV16+fHkkFnkyRqtWK27cqI+Kkrq4NO3cSbzuratjfxzPmaN/9ptxC4d0RgMEDAlUBwezLqHyqVM7Ll0y7CmGIxqFosrfnwmkPiYGq3A4m/rGTZvoZFX6+HTl5XHWTx45Bolj+2QVFBRER0cbCp2goKBTp051d3fb3kVzeaDVKgsLG+LjmUttytzdmf9kqZ43T0JRlT4+LcnJvdjZ1FzkBW2HeSOwRyZjfqO3HDgg8g1W9TdyXF1pJi1JSYK+EPgdnH7HhvHjydXbnpnJ73i44T0kDjfyoNNJpdIdO3ZMmjSJpXWmT5+enJzcyP/dItuzsso8PMgbmNnoKiwkaei+e1dVVkZeogECgxCgN9GsCgxkquTm3bslFFW3Zo04b/5pFAqWlFFJpVJXV7Jb5yA8ccqGBFr27yefimXu7ijIbpZcQOKYBaPZjDQ1NaWkpMycOZMldNzc3BISEkpLS802k9UNdWZnkzcwq1EfE2N1dzAhvwnoN9HcuJFcSMzaxFqVSnnrFr/DG6n3Kqm0wstLQlHtZ88ybeDHKSYNDra1PT3SiRPJ9dx6+DAHneSjS5A4XMxaT09PRkZGcHAwS+hQFLV+/fr8/HwuOs3wSdvXp7h+vX79+ro1a8hh/XvY2Zm8h+lGVWBgW3q6OP+1TcigYRSBfjfRlLq54VucruxH3mLK4mKjwKKzDQnIjx8niSt1chJPuW1LM4fEsTRhk+xfvXp11apVhkJn6dKlFy9eNMm0JQZrNF0FBQ1xcd/+c8TBgVmasz4mhn4bV86e3ZqSgqU2lkiCsG125eVVTJ9OvgyYDWblG2FD6Dc6w6cRDasY9zsQB21PQKut8PYmF3PT9u22d0koHkDi8CCTt27diouLc3BwYGmdwMDAY8eOKRQKm8fQW1fX79aYEopi7pHbfe9e8759PdiO1OYJ460DtStWkG8C0qiaM6dHxDWl+q3sZ/hbFW9zLnzHNd3d5FkqCUXhrrYZUw6JY0aYljVVWVm5e/duDw8PltDx8vI6cOBArU0fPhpoA2cJRVXNnWtZLrAuJgK9tbUSBwcibqRubvJTp5hrjcUE4+tYUdlPGEnva21t2rGjYcMGYYTDkSggcTiSiOG60drampaW5uvryxI6zs7OW7ZsuX///nANmdZPkZvbuHkz00alry/54iENeqkNsxvaIGAEAa22PStLv8OURkNGNW7bRl9g9VFRzJ9BSQexNdqOHiXvOP0/KlDZT2xXAOIdmAAkzsBsOHxGrVZnZWUtXLiQJXQoilq7du2NGzcs4rtG05Wfr19q80291O47d8hEramp5HNWv9Tm0KHe+npyFg0QMJZAd0kJKVunv1XzzR9NZ2fV3LnK27e/OYC/dWSVGyr74WoAASYBSBwmDf61c3NzV69ebSh0Fi1adO7cOa1Wa5aQlLdv97vUhnkjp6+5uWLGjJb9+7HUxizMxWykr7W1ft06opj1eypNnCi2vTMHvwCatm9nPkFGVzFmlcMZ3ALOcoFAX3Nzpa9v29GjzGxywTHB+ACJI4RU3r17d+PGjU5OTiyt4+fnl56e3t7ebkqQmu7u0nHjmN83pC11c9Oq1aYYx1gQYBLQ9vS0JCeXTphArjHSaNq1i9lTtG2NQiELDdX/IBUQgO9Fvl8GTbt2kSu8LT2d7+Fw0H9IHA4mZYQuyWSyxMTEqVOnsoSOp6fn3r17q6urmXYLCgrWrVs3Z868iIiIq1evMk/pdDrF9euazk5ysG7tWvI+ZDaq583Dfn6EEhqmE2jasYN5gZF2dXAwdsbW6XSksh9NpiE21nTmsGArAhqlUuriQi7yzuxsW3ki4HkhcYSW3I6OjiNHjvj7+7OEjqOjY3x8/J2vVs94e0/75S+feeedADu79e+9F/zss38YP35Ca2trT1VV086d9DYLzHKxiuvXyfuQXs/YevhwX0OD0NghHlsT6GtpKXV0ZF5s+k00OVgCyhagFDk5ZBkcQcSqYmwLvzDnCAm0/fe/JI/lU6eK/MHAEUIcahgkzlCEeHv+/PnzixcvZgkdiqJefvlvb745ZfFizZIlOvLf/70T/LdnfkfebxKKkoWEkNC1arXUza1y5syWpKRemYwcRwMETCSg6epq3r2baaTl4EFyHbYkJYl8E01CxrCyn4SisPMJ4cO7hlatLp8yhVzqrWlpvAuBFw5D4vAiTSN3Mi8vLzIykgidV199dfToN4iyYTbeeHmC/0svkbecvgIVY+9PVKMaeQ4wcgACHRcvlk2eLKGoluRk0kXb21vu6SnaTTQJB2ajX32D+zdMRGZsa5RKWWjorRdeyP/BD26PHVu3dm2/Kw61fX2y0NDiZ565+eijd/7yF2aNU/16qQULip9/Pv/xx2/9/ve1K1ca7qnZcf48+bAtnTABOzaYMYNMU5A4TBqCbZeUlGzdutXFxeWXv3zaze0EU9mQ9vTphb994qfkXSehqI5z5wRLBIHZlEBvXR29Zpa+3konTFC3thKP1B0dpI0GvQRH6upK3ptSV1fsP2W5C6Piiy+KR4/uzM7ua2yUnziR/8QTNUuXGk4nW7Ag/4c/bEpI6Lpxo2L69Jvf/37XN9U6pE5ORU8/3ZKU1JWf37hp081HH61ZtIhlodLPjyS0ccsW1lm8NBcBSBxzkeSBnbq6uieeeDIoqJnIGlbjse8/VvDxx1UBAa1pabhtw4OM8tBFbW9v8759pePHk893utEQF8fDaKznsrK4mAaFyn6Wha7R5P/oR3WrV5NZKry8br34InlJNzRK5c3HHqtdsYIcv/vaa9IJE3Q6nbq1tfCpp1oOHCCnytzd77zyCnlJN5oSEshboLeujnUWL81FABLHXCT5YefnP39q7twGlrIhLx/53iM5J07wIxJ4yUMC3SUlFV5e5JOd2WhKSOBhQBZ0uf3sWdZPUW1Hj9aGheFBcQtC1+l0Wm3+E0/URUSQWSq8vW+/9BJ5STeUxcV5o0YxF8LXLl9e8NOfsrrRL0sdHO6/+67hKbVc3rx3b11kpOEpHDEXAUgcc5Hkh51///vDCRMOE03DbHzxRc5PfvILiqJWrlx55coVfsQDL3lFoK+pifXAlH5h++LFPQ9XNOBVTBZxtiE2ltZ/eFTeInwHNapfRjN6tL5wRnd3Z3Z2wU9/2rhxI2uEsrCQJXEaN27MGzWqr6WF9OwqKJAfO1Y5a1bhz3/eaVCYg3RDw6IEIHEsipdzxpOSksaOfZupbEj797+3+9Of/kQWJgcFBZ06dUqlUnEuBjjEKwKsqsTMB6Yqpk1T5ObyKhqLO0sq+9ESR+rmhtJTFofOmkCjKZs4MW/UKPq/qjlzWOd1Op1Gobj56KO1YWHkVJm7e96oUT0VFeTIAzu7vO98R6+QNm3CA+EEi5UbkDhWBm776Tw9vf72t/HMn6sWLux+6y2vV155Y9KkSUTi0I0ZM2YkJyc3Mh6tsn0A8IAvBL7aRLPMw6PtyBHisra3t2LaNKmLS2taWr8PqpCeImywKvvRKof5PSpCJtYPuXLWrOLnn2/PzOytqZEfP1709NM1ixcbulHl51fw4x+37NvXXVJSs2RJ4VNP5Y0axaqpoVEq5cePF/7iF5WzZtEWNJ2dlb6+rWlpWFNviNQSRyBxLEGV6zZDQkIeeeTRN95wfffdoLfe8vjJT34+Y8YMnU7X1NSUkpIyY8YMltCZOHFiQkJCaWkp1wODf5wh0H33blVAwNe3Ipyd+xgPTKkkEnVbG2c85Yoj/Vb2q/L3x+Iba2aop7w87zvfaT10iEzauHnzzUcfVRtsg6NRKiumTy948smCJ58s9/Rs2LAh77vf1XR3k4Gk0RAbm/ed79C/YbUkJ9NvCn2thIMHSR80LEQAEsdCYLlutra2NjExMTIycufOnSztolKpMjIygoODWUKHoqioqKj8/Hyuxwb/bErAcBNNCUVhTeXgOSEPTJHvP1T2G5yYhc52nDuXN2pUV0EBsS8/dSpv1Kjuu3fJkX4bstBQsipZXwFBoyHd2o4e1Vu4d0+n1Za5u5MUt2dlkT5oWIgAJI6FwArB7NWrV1etWmUodJYtW3YRNfWFkGEzx/D1JppOTuRDnDTKJk9m7npm5okFYa4+JobgklAU63EqQYTIgyBUZWV5o0Yx76/Q92BYS8p0Ol1zYqIiJ4cOSdvXd+uFF+iK8J2XLulXIp89S6KtWbz45ve+p1WpVKWlJMVl7u74oZYgslwDEsdybAViubi4OC4uzsHBgaV1AgMDjx8/rlAoBBInwjCZgLq9nbmtIP1pXuro2Lx3L/ZhGJKuRqGo8veXUBQq+w3JyqIdJB9/rF+Lk5XVW1vbnpFR9OtfV3h50TPKFiy4+b3v0W2pi0vxs8+2nz7dlZ9f5uZW9Ktf0dv2adXqu6+/Xvzccy0HDyq+/LIhLi7/Bz+o8vPT6XT169YRidN6+LBFo4BxmgAkDq6EYRGoqKjYvXu3h4cHS+h4eXkdOHCgDqWrhkVR+J3ajh0jH+ISiqqNiMB2rQNlXSWVykJDmWd7GxpkCxfiESomE+u31XJ5dWDgrTFj8n/wg1svvlizZAnZXYEpcdRyebmHR+EvfpH/wx8+sLNj/pLV19BQOXNm8ejR+Y8/fnvs2NoVK7Qqlbq1lbw1Sp2ciE3rByiqGSFxRJVuU4NtbW1NTU319fVlCR1nZ+ctW7aUlJSYOgHG84qAuqOjcfNmZiFXnUZTOXu2hKIqZ81S3rrFq2is6mz72bP0F15DbKxVJ8ZkNiJQs3w5kThN27fbyAvRTQuJI7qUmx6wWq3OzMwMCQlhCR2KotauXXvjm41aTJ8IFrhMoO3YMenEifSnNrMCffe9e/KTJ7nsuc19I5X9aHpYdmPzjFjBgZaDB8s8POiMY3scKwCnp4DEsRpqAU6Um5sbERFhKHQWLVp0Dlt4CjDhX4ekLCysnDWL/JNUX6H44R9chBu6qZGxKvvRDKWurvhxylSyPBnfefUq84l0nnjNYzchcXicPI64fvfu3Y0bNzo6OrK0jr+/f3p6ertBPQmOuA03RkCgt66udtUqprghbex9PSTPfiv7lXt5YZeGIdGhAwiMjAAkzsi4YRSbgEwmS0xMnDJlCkvoTJkyJTExsRqbELGB8fJ1+eTJRNOQRtnnnzP3I+RlYFZxutxgC1JU9rMKeBtPYlg20MYOiWl6SBwxZdvysba3tx85csTf358ldBwdHTdu3Hjnzh3Lu4AZLEhAfvIkUTb6hr1949athiVDLOgBn00rcnKY9OpjYvgcDXwfFgG1XF7q6Fi/fn1PVdWwBqCTWQlA4pgVJ4x9Q+D8+fOLFy9mCR2KoiIiInKx8+I3lLj/d/f9+23HjjH9rPT1pb+nqwID8QsLk8xw2m1Hj9L0sMR4OLgE0Kd5716ia5sSEgQQEb9CgMThV7545u2NGzciIyMNhU5ISEhmZmZfXx/P4hGTu/p9GKKjJfb2EgeH3tpaEnrXzZtSV1f9M1NaLTmIRr8EehsaqgICWEKwKSEB65b6xSW8g1qVqmzSJCJxWP9aEF68HIwIEoeDSRGaSyUlJVu2bHFxcWFpHR8fn9TU1FbGBo1Ci5y38bSmpJQy9mGoXbWKGQrWFjBpDNRWSaVSNzd9tWI3N2ylORAlYR+XnzpF9I104kRtT4+w4+VgdJA4HEyKMF2qq6s7cOCAt7c3S+i4u7vv2rWroqJCmGHzLarOa9cqvL3J5zJpoI6fUZkklf1ogFUBAVA5RgEUQmettmLaNPIOak5MFEJQfIsBEodvGeO5v11dXcePHw8MDGQJHQcHh9jY2OLiYp7Hx2/3G+LiyCcys1E2eXJXXh6/Y7Oi96zKfjRJ/DhlxQxwYirFjRvkTVQ6frxaLueEWyJzAhJHZAnnTLiXLl1atmwZS+hQFLVq1aorV65wxk1xOdKZnU0+lOmGfhPNxERsojnM62Cgyn5YXDxMgELqJlu8mLybGuLjhRQaj2KBxOFRsgToakFBQVRUlKHQCQ4OPnXqlEqlEmDMHAup6+ZNpkfVwcHkc7lu7VpsosmEM2S7KSGB0KMbqOw3JDShdmhNSSmfOpW+DHpraoQaJsfjgsTheIJE4V5paen27dsnTpzI0jozZsxISUlpbGwUBQWrB9lTXl41Z46EopiP/KikUmyiOeJUaBSKKn9/onJQ2W/EJAUzUHH9ektSkmDC4V0gkDi8S5lgHW5sbExJSZkxYwZL6EycOHH79u2lpaWCjdzqgWm6uhq3bSPfxNXBwUwXWPd1mKfQHpKA/kEqV1cJRaGy35Cs0AEELE0AEsfShGHfOAIqlerUqVPBwcEsoUNRVFRUVEFBgXHm0NuAQMelS2UG+zB0ZmcbdMSBoQloFIqG2NiG2FhmV2VxMRbfMIGIrY2qCtzJOCQOd3IBTx4icOXKlVWrVhkKnWXLll26dOmhrngxPAK9dXWyRYvIzRtmg/UlPTx7Yu9FV/ajMULTiP1q+CZ+TWdnqZNT3Zo1PSiE8Q0TG/4NiWND+Jh6aALFxcWxsbEODg4srRMYGHj8+PGurq6hTaDHNwTaMzOZsoZuV3h7d1679k0X/D1cAqSyH0HKXNI0XCvoJzgCLUlJ5JLAg1Q2Ty8kjs1TAAeGJlBRUbFr1y53d3eW0PH29j5w4EBdXd3QJtDjKwJVgYHk81fq7Nx66JC2txdsjCXAquxHI8XiG2MxCq+/tq9POnEieYu1JCcLL0Z+RQSJw698idrb1tbW1NRUHx8fltBxcXHZsmVLSUmJqOn0F7xKIqmeN69HJiMneyoq9NtO2dvXR0f3YesMwsWYRr+V/fDUjDEIBduXuWNDqZOTprNTsKHyJDBIHJ4kCm5+Q6Cvry8zMzMkJIQldCiKioyMvHHjxjcdRf3315toUpSEoqoXLGCyaEtP74YcZBIxpq0sLib/RqcbUldXLMQxBqFw+2q1zM1PGrduFW6ovIkMEoc3qYKjLAK5ubkRERGGQmfx4sXnz59ndRbPS21vb+uhQ1JnZ+Y3cce5c+IhYOlImYstUNnP0rR5ZF9x7dq3bzp7+976eh45L1RXIXGEmlmxxHXnzp2NGzc6OjqytI6/v/+RI0fa29vFAuKrOBW5uRVeXt9+zn51F0dCUeWTJ4uKg9mDZW2iWR8TI6EoVPYzO2deG3yoMviaNbyORTDOQ+IIJpWiDqS6ujoxMXHKlCksoTNlypTExEQZYzGKgDEpi4oMxY2EomQLF/ZUVws4cEuH1pKUVOHlxVQ5GoUCi28sjZ139rvv3KlZtox+D6oePOCd/4J0GBJHkGkVaVDt7e3p6en+/v4soePo6Lhx48a7d+8Knkt1UBBT5ZS5u3eI+Dc709NNV/ajkVYFBJhuEBYET0BVWtq8b5/gw+RLgJA4fMkU/DSCwLlz5xYtWsQSOhRFRURE5ObmGmGI813lJ04w1w6rSkuJxGncsoV544HzoXDOQWZlP5oqCiRyLklwCAQGJQCJMygenOQzgRs3bqxdu9ZQ6ISEhGRmZqrVaj4Hp1PeulU5a5b+gamgIGYg9dHRlX5+KmzpxYRifNuwsh8W3xhPUSwj1G1tYgmVb3FC4vAtY/DXSAIlJSVbtmxxdnZmaR1fX9/U1NRWHtaG6WtoqA0PJ3drJBTF3GEKpTiMvED66d5vZb/asDDcFesHlugPaXt6pC4u1cHBHefPo5Am1y4HSByuZQT+WIRAXV3dgQMHvLy8WELHw8Nj9+7dFTzZTUarUjXv3Vvq6MjUN/oHpjw98dlqrutGo1BU+fuzCGNxsbnwCs9O29Gj5GqpCgwUXoC8jggSh9fpg/PGEVAoFMePHw8MDGQJHQcHh7i4uOLiYuPMWbe3uqOj3GCHcPqzVbZoEUoVmzEb+l+pXF1ptqjsZ0awwjOlVavLp0whEqctPV14MfI6IkgcXqcPzo+QwMWLF5ctW8YSOhRFrVq16urVqyM0avlhtatWkQ9TulHh7a3AJprmIM/6EUqRk6O/Peblhc01zUFXsDY6Ll4kb8nSCRM0SqVgQ+VnYJA4/MwbvDYHgfz8/KioKEOhExwcnJGRoVKpzDGJSTbUHR3MhcO9NTXffp46ObUePmySdQz+hoAiJ0fq5sbah0GRk8PSPd90x98g8DWBSj8/8pZsSkgAF64RgMThWkbgj7UJlJaWJiQkTJw4kaV1ZsyYkZKS0tTUZG2H6Pm0WnlGhnTixIrp03UaDfGhaft2bKJJaJil0XbsGPmWwj0bsyAViRFlYSG5ciT29r11dSIJnEdhQuLwKFlw1YIEGhsbk5OTZ8yYwRI6kyZN2r59u1QqteDcBqZ7ysur580jn57yEydIF41C0X3/PnmJhikEmJX9aNpSNzfcuTEFqajGklrGEoqqDQsTVex8CRYShy+Zgp/WIKBSqU6dOhUUFMQSOhRFRUVFFRQUWNoJTXd3U0KCxMGB6BsJRUknTtR0dVl6arHZ1z85FRDA5KxH7eqKGzliuxJGHK9KItEvj7O3l1CU8tatEdvBQMsRgMSxHFtY5jGBK1eurFy50lDoLF++/NKlSxYKrOPSpTIPD9aXLv2y68YNC00qTrMDVfbrbWgQJxBEPWICPRUVzbt3j3g4BlqUACSORfHCOL8JFBcXx8bG2tvbs7TO3Llzjx8/3mXuOyvMnYqJ0KldtQq/8Zv9MmpJSiKE6QYq+5kdMgyCgM0JQOLYPAVwgOsEysvLd+3a5e7uzhI63t7eSUlJdeZbY9gjk5WOG0e+eitnzVIWFnKdDm/9qw0LI6hR2Y+3abSN42oeVkW3DSlbzwqJY+sMYH6eEGhpaUlNTfXx8WEJHRcXl61bt5aUlBgdh0YjP3lSFhqq02rJ2OY9e+jFN23HjjEfpCId0BgxAY1CwVxKTFcxRmW/EfMU7UBtX1+Zu3tVYGB7Zqa2p0e0HHgROCQOL9IEJ7lCoK+v78yZMyEhISyhQ1FUZGRkXl5ev4729fX1PPxRqCwurpw9m76LIM/IIKO0PT3Nu3erOzrIETTMQkAllVYFBOgFJeNPb0MDFhczeKA5LALtmZnk/l/FjBnDGoNONiIAiWMj8JiW5wRycnIiIiIMhc7ixYvPnz9PgouPj//LX14bNWrUd7/7vRdf/FNERIR+E82ICPIRqb9n4+ambm8nQ9AwOwG6sh/NvCE21uz2YVBEBLTaypkzyfu39dAhEcXOw1AhcXiYNLjMGQJ37tyJj493dHRkaR1/f/8jR458+un4V1/9yMPjwpIluiVLdF5e11/7i9PrT40u+Phj8hFJN5p27uRMTEJzhFnZj6bNqmIstIARjyUJKK5fJ2/eUicnTWenJWeDbVMJQOKYShDjQaC6unrv3r2enp5MofPCCy/8+c8TaHHD/P87b/n/57ejmZ+SrSkp+EXfEleRYWU/SBxLcBaVzeoFC8ibFzs2cD/1kDjczxE85AeB9vb29PR0Pz8/iqI++OCDRx55bP78dqa4Ie3f/vQ3Kf/8p4Si6tetww7hFsruQJX9lNzeT95CNGDWLARUDx4QfSOxt+9rbjaLWRixHAFIHMuxhWUxEtBqtefOnbO3t//DHyiiaViN/3t7TvA//tE9goewxEh0hDHri/u5un77hURRVf7+qOw3QpoY9hWBOsYquvp160CF+wQgcbifI3jIPwJRUVH/+79zWMqGvPzwwxhfX3/+RcU3jxU5OUTioLIf37LHRX97ZLLGrVtp6dxTXs5FF+HTwwQgcR7mgVcgYA4C+/fvf/11F6JpWI233pr99ttvp6WltaKAmDloM22wfoeiqxijsh8TEdomEtD29CiuXTPRCIZbhwAkjnU4YxZxEaitrX3kkcfmzWtkiRv65Y9//NS7775LUZSHh8fu3bsrKyvFRccy0WoUClloqNTNjVXqhiV6LDM5rIIACHCRACQOF7MCnwRAYP78+a+91s8TVW+84T169LPMZ68cHBzi4uJuYadiE7JOV/ajf5aSurkxqxibYBVDQeBrAl0FBRqlEjh4RwASh3cpg8O8ITBpkucf//iuq+ux+fPbQ0IU7u5nX3uNsrP79OzZs0uXLmWqHLq9atWqq1ev8iY8zjjKrOxHq5yqgADOeAdHeE9Ao1RKXVykrq7N+/ah8ji/0gmJw698wVueEdizZ88777z/ox/95Ac/+NHrr7+1YcMGEkB+fv769esNhU5wcHBGRgZrwwcyCg0WAcPKfvqn8WNiWN3wEgRGTKAtPZ2sWy+fPHnEdjDQ+gQgcazPHDOCwLcESktLExIS3NzcWFpn5syZKSkpTU1N33ZF62ECA1X2azt69OGOeAUCIyegVavLp0whEqd5z56R28JIqxOAxLE6ckwIAgYEGhsbk5OTp0+fzhI6kyZN2rFjh1QqNRiBA3oCsoULyXePfrcvV1csLsaVYV4CHRcukGusdNw4tVxuXvuwZlECkDgWxQvjIGAEge7u7lOnTgUFBbGEDkVR0dHRBQUFRtgSR1d9CWN/f/obqMrfn/UslTgYIErLEqj08yMSB3u4Wpa1BaxD4lgAKkyCgGkELl++vHLlSkOhs3z58uzsbNNs83406z4NXcUYlf14n1dOBtBVUED0jYSiemQyTroJpwYkAIkzIBqcAAHbEigqKoqNjbW3t2dpnblz5544caKrq8u27tlk9qbt2yUUxdr+EDdvbJILMUxaHxUZHONPAAAbcklEQVRFJE7NihViCFlgMULiCCyhCEdoBMrLy3fu3Onu7s4SOt7e3klJSfX19UILeIB46Mp+5Pum/ezZATriMAiYjYBWrW4/c6Zi2jQJRSmLisxmF4asRQASx1qkMQ8ImECgpaXl8OHDPj4+LKHj6uq6devWBw8emGCbB0OZlf2IysHNGx5kTiguKnJyhBKKuOKAxBFXvhEtrwn09fWdOXNmwYIFLKFDUVRkZGReXh6voxvIecPKfpKvtg1HCeOBiOE4CIAATQASB1cCCPCPQE5OTnh4uKHQWbJkyfnz5/kXz8Aet589S27bkAYq+w0MDGfMQ0BZXAwNbR6UNrUCiWNT/JgcBEwgcOfOnfj4+PHjx7O0TkBAwJEjRzo6OkywzZWhhhIHlf24khvh+qHt6ytzd5c6Ozft2qVuaxNuoMKPDBJH+DlGhMImUFVVtXfvXk9PT5bQmTp16r59+2T8f8y1JSmJvn+Dyn7CvpK5E137mTPklqHU2Zk7jsETYwlA4hhLDP1BgIsE5HJ5enq6n58fS+g4OTlt2rTp3r17XHR6AJ9UUilrKXFtWBgq+w1AC4fNTUCrrfD2JhKncfNmc08Ae9YjAIljPdaYCQQsTUCr1Z49e3bRokUsoUNR1OrVq69fv25pB0y3T/8yVeHlxVwJoVEomC9NnwUWQGAgAorr14m+kdjb94qmLsNAQHh9HBKH1+mD8yDQP4Evv/xy7dq1hkJn4cKFWVlZGo2m/2G2PkpX9qO/YGShobZ2B/OLkUD1ggVE4tRFRIgRgYBihsQRUDIRCgg8TOD+/fubN292dnZmaR1fX9+0tLQ2Lq2jZFX2o79jWFWMHw4Or0DA/ARUDx4QfSOhKJXQK06ZnyDHLELicCwhcAcEzE2gtrZ2//79X3zxBUvoTJ48effu3ZWVleae0Gh7/Vb2k7q6slbkGG0XA0DASAKNmzcTiVM9f76Ro9GdcwQgcTiXEjgEApYgoFAojh07NmfOHJbQGTduXFxc3K1btywx6XBsKouLpW5u5HuFblT5+2PxzXDooY+ZCWg0HefOVc6aJaEoVDQ2M1tbmIPEsQV1zAkCtiNw8eLFpUuXsoQORVFhYWFXr161vl8ahaLcy4spcVDZz/pZwIwsAorcXNYRvOQjAUgcPmYNPoOAqQTy8/PXr19vKHTmz59/+vTpnp4eUycwZrxKKpW6utIqB5X9jCGHviAAAoMRgMQZjA7OgYCwCUgkkoSEBDc3N5bWmTlz5qFDh5qamiwUvkahYEkZ/UZUrq7K4mILzQizIDA4AeWtW30Wu+AHnxpnLUcAEsdybGEZBPhBoKGh4eDBg9OnT2cJnUmTJu3YsaOsrMy8Yejv2Xy1+Kb97FmmZSy+YdJA26oEtNryKVMk9va1K1Z03bih02qtOjsmsxgBSByLoYVhEOAVge7u7pMnTwYFBbGEDkVR0dHRhYWFZomGueeU1M0Nz0yZhSqMmEigMzubrAaTurhorftDrYnOY/ggBCBxBoGDUyAgRgKXL19esWKFodBZvnx5dna2KUSYlf3obxSpm5spBjEWBMxCoNLPj0ic5r17zWITRrhAABKHC1mADyDAOQJFRUUxMTH29vYsrTNv3rwTJ04olUqjPO63sp/U1ZX1W5VRNtEZBMxCQFlURPRN6fjxarncLGZhhAsEIHG4kAX4AAIcJVBeXr5z587PP/+cJXSmTZuWlJRUP7ztezQKRVVAAPkW+fr+DSr7cTTnonOrZtkycnE2bNgguvgFHTAkjqDTi+BAwBwEWlpaDh8+PGvWLJbQcXV13bZt24OHi9yXlJTExsYGBs5bvnx5ZmYmPX9TQgL5FpFQFCr7mSMtsGEGAj0y2bdXpr19j0xmBqMwwRkCkDicSQUcAQFuE+jt7T1z5syCBQtYQoeiqHXr1uXl5el0uuDg4Cee+Ok//jHTzi7qX/9aPHbsm++++6+SkhKdTidbuJD+LkFlP27nWVzeNe/ZQyRO7apV4gpeBNFC4oggyQgRBMxK4Nq1a+Hh4YZC54033nz55U+Dg1uXLNGR/+zsop577sWGhgb9z1X+/qxyOGb1C8ZAYCQElEVFdWvWlI4bp7x9eyTjMYbDBCBxOJwcuAYCHCZw+/bt+Pj48ePH01rnrbfe+tnPRhNlw2y8995Cb29vnU6HyjcczqfYXVO3toodgRDjh8QRYlYREwhYi0BVVdWePXs8PT2feeaZTz7ZwlQ2pB0U1PL97z/S19dnLacwDwiAAAjoCUDi4DoAARAwlYBcLn/++bHTpt0ksobVGD36jzbczNzU8DBeiATas7I6L18WYmSI6VsCkDjfskALBEBgxAT+8pc3vLy+ZCkb8vJ//ue55OTkERvHQBAwLwGtWl3m7i6hqEofn47z53UajXntwxpHCEDicCQRcAME+E3A29v7ww+jiaZhNubMkT3yyGMURYWGhmZlZWnwdcLvVAvB+45z58iDVKVOTprOTiFEhRgMCEDiGCDBARAAAeMJZGdnP/XUaNbjVLTQ+dvfpo4ZM4Y8gTV79uy0tLS2tjbjJ8EIEDAPgSp/fyJxGrduNY9RWOEeAUgc7uUEHoEAPwmEhoaOHfuOj8995i2c995b8MILf/D09CQSh25Mnjx5z549lZWV/IwVXvOYgLK4mOgbib197/CKdPM4YBG7Dokj4uQjdBAwN4HIyMjHHnv8jTcc3n137ttvf/HUU6Odnd1aWlo6OzuPHTs2Z84cltAZN27chg0bbqMeibkTAXuDEKgNCyMSp27NmkF64hTfCUDi8D2D8B8EuEWgo6MjJSVl/fr1CQkJhk9RXbhwYenSpSyhQ1FUWFjYtWvXuBUJvBEigd66Oom9PZE4qoe3HxFixKKOCRJH1OlH8CBgEwI3b95cv369odCZP3/+6dOne3t7beIVJhUDgdbDh4m+kYWEiCFkMccIiSPm7CN2ELAlAYlEsm3bNjc3N5bWmTlz5qFDh5qbm23pHOYWLoHuO3fq168vHT9ecf26cKNEZHoCkDi4DkAABGxJoKGh4eDBg9OmTWMJnc8//3zHjh1lZWW2dA5zC5eAWi4XbnCI7GsCkDi4FEAABGxPoLu7++TJk/PmzWMJHYqioqOjCwsLbe8iPAABEOAbAUgcvmUM/oKAoAlcvnx5xYoVhkJnxYoV2dnZgg4dwVmWQMeFCx3nzll2DljnGAFIHI4lBO6AAAjodEVFRTExMYZCZ968eSdPnlQqlYAEAsYR0GrLp0yRUFTF9OntmZlatdq44ejNTwKQOPzMG7wGAREQKCsr27lz5+eff87SOtOmTTt48GA9KraJ4BowV4gdly6RB6lKx43rw2J2c5Hlth1IHG7nB96BgOgJNDc3Hzp0aNasWSyh4+rqum3bNolEInpCADA0gUo/PyJx6qOjhx6AHoIgAIkjiDQiCBAQOoHe3t7Tp08vWLCAJXQoilq3bt3NmzdZANLT08O++pOens46hZdiI6AsKiL6RkJRPeXlYiMg2nghcUSbegQOArwkcO3atbCwMEOhs2TJkgsXLuh0uqNHj44ePWbsWLuXXw59+eXQsWPtRo8ec/ToUV5GC6fNQaBm2TIicWqWLjWHSdjgBwFIHH7kCV6CAAgwCdy+fXvDhg3jx49naR17e/tHH/3R3/9+gqJ05L+///3E44//eBCVExam73zlCnMGXWur/mBx8UMH8YJ3BHpkMqJvJBTVVVDAuxDg8IgJQOKMGB0GggAI2JhAVVXVnj17Jk+eTITOD3/4U5a+oYXO3/9+YvToMQO5Gxamc3LSeXnpmFtHQOIMhItfxzuzs0udnGiVUzl7Nr+ch7cmEoDEMREghoMACNiYgFwu/+9//zt79uw333zzl798ndy8YTXGjrUbaF1OWJguMlI3ebLu8OFvY4HE+ZYFz1vqjo7mxESpq2vHVz9l8jwauG8EAUgcI2ChKwiAAGcJaDSaqVOnjh0bzFI25OXLL4eGhYX1639YmC4mRpeVpXNx0f8+Rf+BxOmXFX8Parq6+Os8PB8ZAUickXHDKBAAAc4RCAsLe/nlUKJpWI3BJU5UlE6r1c2Zo4uL+zouSBzOJRgOgYCRBCBxjASG7iAAAlwlkJ6ePnasHUvZkJfPPvvOID9URUXpo7p9W2dvryst1bchcbia5+H61Xn1antW1nB7o58QCUDiCDGriAkExEpg9OgxAy03fuqpZwaiEhamoyWOTqeLiNCFhOg7QuIMhIsfx7XaypkzJRRV7uUlP3lSy1xJzo8A4KUZCEDimAEiTIAACHCEwNGjRx9//McslWP40Hh4eHgB4+FhpsSpq9M5OuofIIfE4UhOR+aG4vr1b58Vt7fvxXYfI+PI81GQODxPINwHARB4mMBwSv9lZGT4+/vPnz+fFjpMiaPT6Xbv1nl765qaUBfnYbK8eiULCSESpzY8nFe+w1mzEYDEMRtKGAIBEOAOgeFs4JCTk7Nr1y6dTseSOF1dOnd3XWIiJA538mmcJ6oHD4i+kVBU9717xo1Hb6EQgMQRSiYRBwiAwEgJEInT1tZG28jI0Dk7Q+KMFKitx9WtXk0kTtXcubZ2B/PbjAAkjs3QY2IQAAGOECASJzU1NS4urq2tTaPRzZ4NicOR/BjnRm99vcTenkgcRU6OcePRW0AEIHEElEyEAgIgYBqBrq6u1NTU2bNny+Vy0yxhtM0IKK5fL50wgZY4FdOn28wPTMwBApA4HEgCXAABEOAYgQsXLhw5coRjTsGd4RLQKBQtSUllkya1nz493DHoJ0QCkDhCzCpiAgEQMCsBmUzWhfL/ZkVqBWOa7m5tT48VJsIUnCUAicPZ1MAxEAABrhDYvn27k5PTjh07amtrueIT/AABEBiKACTOUIRwHgRAAAR0uoaGhj179ri4uERFRd29exdIOEigKy+vNS1N3dHBQd/gkk0IQOLYBDsmBQEQ4CUBlUqVnp6OH624mbyquXPpVcb10dF9DQ3cdBJeWZMAJI41aWMuEAABQRFoa2s7jQWt3Eip8vZt8qB46bhxajwTx4282NYLSBzb8sfsIAACPCaQn58fHh7u6emZnJzc3t7O40j473rtypVE4tTHxPA/IERgBgKQOGaACBMgAAJiJiCVSjdu3Ojg4LBnzx4xc7Bh7D0yGbPcX49MZkNnMDV3CEDicCcX8AQEQIDHBFpaWhqw/sNGCWzYsIHcwqlZtsxGXmBazhGAxOFcSuAQCIAA3wn09fWFhoZevnyZ74Hwwn+1XF46fjyROMrCQl64DSetQAASxwqQMQUIgIDoCFy+fHnhwoU+Pj4nTpzQaDSii9+KASuLi8s8PGiJUxUQYMWZMRXXCUDicD1D8A8EQIC/BIqLi9esWbNp0yb+hsALz7VqdeeVK7LQ0I4LF3jhMJy0DgFIHOtwxiwgAALiJVBZWUmCLysrI200QAAELEoAEseieGEcBEAABB4i4O3tHR4eXlBQ8NBRvAABELAAAUgcC0CFSRAAARAYmEBGRoafn9/8+fMvXrw4cC+cGZpAe2ZmXUSESioduit6iJIAJI4o046gQQAEbE3g2rVrkZGRtvaC3/NXzp5NrzKuWbYMtXD4nUvLeA+JYxmusAoCIAACxhA4ffp0Y2OjMSPE3rersJA8KC6xt++trxc7EcRvQAASxwAJDoAACICA1Qns2LHD0dExLi7uwYMHVp+clxPWrlhBJE5tRAQvY4DTFiYAiWNhwDAPAiAAAsMjoFAoDh8+/MUXX6xcufL+/fvDGyTSXr11dcwdG1TQhSK9EIYIGxJnCEA4DQIgAAJWJpCZmWnlGXk3XeOWLeQWTnVwMO/8h8PWIQCJYx3OmAUEQAAERkLg8uXLqampSqVyJIMFOkajVJZOmEAkjuLaNYEGirBMJQCJYypBjAcBEAAByxEoKSmJjY2dMGHCzp07a2trLTcRjyx3l5SUT55MS5yK6dN55DlctTIBSBwrA8d0IAACIGA0gYaGht27d7u4uOTl5Rk9WJADNBpFbm7NsmXyU6cEGR+CMgsBSByzYIQREAABELA4AZVKZfE5MAEICIgAJI6AkolQQAAEREMgPz/f39//9OnTookYgYKA0QQgcYxGhgEgAAIgwAUC+fn54eHhnp6eycnJHR0dXHDJ0j50ZmfXrlihkkgsPRHsC4MAJI4w8ogoQAAEREpAKpVu3Ljx0qVLYoi/KjCQXmUsCw3tqagQQ8iI0RQCkDim0MNYEAABEOAcgVu3bnHOJ50uNiuWiqfmp87PLcsdmXvK4mLyoLiEonrKy0dmB6PEQwASRzy5RqQgAALCJ1BSUjJr1qzQ0NArV65wJ9pbsltUPPWfmP98EvcJFU/N3Dcz847R5Q2ZOzbULF7MnejgCWcJQOJwNjVwDARAAARGSCA7O3vhwoW+vr4nTpwYoQmzDttwbsOnGz61i7abvHPyhzEffhz78WcbPpu0fVJqXmqnqnM4U/XIZMwdG7ry84czCn1ETgASR+QXAMIHARAQLIGioqJTHCgbU91aTcVTH8V+FH4yvFZee7zouO8BX7tou49iP/p0w6dUPLXryi5Zm2zwNDTExZFfqSr9/AbvjLMgQBOAxMGVAAIgAAKiILBp06ZyW6xf2Zez77MNn9lF210vu14rr6X/u1hyMSQthCl0YrNi79Te6TcTarm8dPx4InE6LlzotxsOggCLACQOCwheggAIgIAACcjl8oMHD3p4eERERBQUFFgtQoVK4bHT4+PYj4MPBxN9Qxpfln8ZfjLcLtqOLNNZeXzltVL2nlN9DQ11ERG0xCmfOtVqzmMivhOAxOF7BuE/CIAACBhB4NSpU35+fvPnzzdijAldjxcd/yxefwvn9O3TRNmwGsWy4g3nNnwS98mHMR/S65GDDgVl3MpQ9T1Uzbmnqqp+/fq2Y8dMcAdDxUUAEkdc+Ua0IAACIKDT6a4xdufu7e21HBO/JL+P4z723uvNkjWGLyUNkh2Xd7hucyXrkacnTk/+Mrmxo9Fy7sGysAlA4gg7v4gOBEAABIYgsGXLlr179zY2ml9JXJFcoeKpD2M+TP4y2VDT9HukurV6f+7+aXunkWU6btvctl3aVtlSOUQYOA0CBgQgcQyQ4AAIgAAIiIlATU3N9u3bHR0dN2zYIDHr3ghLjyz9JO4Tx82O/aqZwQ+m3UzzP+g/NfCtmP/3gq/f236Js8SUE8RqHgKQOObhCCsgAAIgwGsCCoXi0KFDU6dO7enpMUsgd2ru0OX+tl7cOriaGeTspWmuyX/5zf4/P5X09hjFl1+axTEYEQ8BSBzx5BqRggAIgIARBJqamozobdA1OjP60zh9uT9Jo2QQETPIqeri6+f++eq+l3954M+/uvze33vr6gwmwQEQGIwAJM5gdHAOBEAABERLIDEx0cvLKy0tTalUGguhpq1GX+4v5qPVp1YPImIGP3VvRWjqX5/d//JTSa88XbNypbE+oD8IQOLgGgABEAABEOifQElJSWxs7IQJE3bu3FlnzE2UXVd20Ts23Ki4MbiOGeisrOzOxf97nb6Fc+6fryoLC/t3EUdBYGACkDgDs8EZEAABEAABna6+vn737t2tra3DhKHsUdI7NvRb7m8gTcM6Xhq3Lv21F/a//NSBP//qvveUYU6NbiDAJACJw6SBNgiAAAiAwBAElEplbm7uIJ3+m/9feseGrLtZLOEyzJc1dWWXP/hf+hZOxlt/bM/KGmQ6nAKBgQhA4gxEBsdBAARAAAT6IXD+/Png4OCAgIDTp0/3c1qno3dsGE65v4EUj6z87m7Pf9O3cAqcqH5nwUEQGJIAJM6QiNABBEAABECATeDmzZthYWGenp4pKSnMc+fvn6fL/aXcSBlIwQx5/ML9C3bRdm5hH+z44oOWgweZ9tEGgeETgMQZPiv0BAEQAAEQeIiAVCqtrq5mHqJ3bBhZuT8ifcJPhv8n5j9UPJX9IJtpHG0QMIoAJI5RuNAZBEAABEBgQAJzQue8H/r+hzEfmlLu70bFDXrjcd8DvgPOhBMgMAwCkDjDgIQuIAACIAACQxHo6+sLWh/03DvPjbEb86bfm0GHg87cOUNuzAyzUZV78eiE92fNemNc7KdpN9OGmhPnQWAwApA4g9HBORAAARAAAaMIbLqw6b257/3O7nd/GPcHu2g7n/0+6fnpw9Q3tfLaopA5B1/5tX7Hhr8/337pklFTozMIsAhA4rCA4CUIgAAIgIBJBKpbq/de2+sQ7vDZhs8+iv3ILtpu4saJ+3P3lzeXD651ZA+KyI4N5//5157ycpP8wGDRE4DEEf0lAAAgAAIgYAECHd0dqTdTffb7fBb/2bPvPvvHCX/8JPyThOyEWzW3BhI6JZFhh159ht6xoWT+XAs4BZPiIgCJI658I1oQAAEQsDKB07dP++/1f23Ka79987cvfvriO/Pfic6KzpHmMIVOYUnhzu0bw/78+/iXfnHgz7/K/MefuwoKrOwnphMeAUgc4eUUEYEACIAA5wjkSHOWH1v+1qy3xn4y9qMY/a9Xq46vOnv3bK28dor3lO9+97ujn376Nz//2Xe/8x27//lRwRefcy4AOMRDApA4PEwaXAYBEAABfhIoqS9Zf2Y9FU99uuHTj2I/esPnjVfef+XZ5559//33P/jqz/vvv//s079y+/BDfsYHr7lFABKHW/mANyAAAiAgeALNnc07Lu9w3uI85l9jHnn0kX//+9+0viH/f/LJJwvwQ5XgrwPLBwiJY3nGmAEEQAAEQMCAgFar9Z7v/cyzzxBlQxq/+93vYmNjDUbgAAgYRwASxzhe6A0CIAACIGAuAhEREWPGjCHKhjTGjBkTHh5urllgR7QEIHFEm3oEDgIgAAI2JnDmzJlf//rXRNmQxm9+85uMjAwbO4fp+U8AEof/OUQEIAACIMBbAq+++upLL71ExM0HH3zw0ksvvfLKK7wNCI5ziAAkDoeSAVdAAARAQGwE7t+//+KLLz733HN/+OrP888///vf//7evXti44B4LUEAEscSVGETBEAABEDACAJ79uzx9PScPHnynj17jBiGriAwKAFInEHx4CQIgAAIgAAIgAA/CUDi8DNv8BoEQAAEQAAEQGBQApA4g+LBSRAAARAAARAAAX4SgMThZ97gNQiAAAiAAAiAwKAEIHEGxYOTIAACIAACIAAC/CQAicPPvMFrEAABEAABEACBQQlA4gyKBydBAARAAARAAAT4SQASh595g9cgAAIgAAIgAAKDEoDEGRQPToIACIAACIAACPCTACQOP/MGr0EABEAABEAABAYlAIkzKB6cBAEQAAEQAAEQ4CcBSBx+5g1egwAIgAAIgAAIDEoAEmdQPDgJAiAAAiAAAiDATwKQOPzMG7wGARAAARAAARAYlMD/BwijGCpeFKSOAAAAAElFTkSuQmCC[/img]
Altura de un triángulo
[b][color=#38761d][size=150][size=200]Altura[/size][/size][/color][/b][br]La altura de un triángulo está definida como la [b]distancia[/b] de uno de los vértices del triángulo hacia el lado opuesto de dicho vértice.
En el ejemplo, se ha dibujado la altura que parte de B hacia el lado opuesto AC. A esta altura también se le llama [b]altura relativa[/b] a AC, porque es la altura que "cae" sobre dicho lado.[br][br]Fíjate que al modificar las dimensiones del triángulo la altura a veces cae dentro o fuera. A partir de eso responde las preguntas que verás a continuación.
La altura BE es la altura relativa a AC
Cuando el triángulo es acutángulo, ¿como cae la altura relativa a AC?
Cuando uno de los ángulos de la base AC es obtuso (mayor que 90°) ¿como cae la altura relativa a AC?
Cuando uno de los ángulos de la base AC es recto, ¿cómo cae la altura relativa a AC?
El ortocentro en un triángulo acutángulo
[color=#073763][b][size=200]Ortocentro[br][/size][/b][/color]El ortocentro es el punto de intersección de las alturas, en esta sección, veremos qué características tiene el ortocentro cuando trazamos las alturas de un [b]triángulo acutángulo[/b]
Reproduce la siguiente animación desde el principio para conocer el ortocentro en un triángulo acutángulo
En un triángulo acutángulo el ortocentro se encuentra:
En la figura, H es el ortocentro del triángulo ABC, hallar el valor de [math]\beta[/math][br][br][img]data:image/png;base64,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[/img]
En la figura, H es el ortocentro. Hallar "x"[br][img]data:image/png;base64,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[/img]