Tetràedres filcèntrics

Quina és la condició necessària i suficient perquè un tetràedre sigui filcèntric?[br]Els autors van demostrar condició necessària; no van aconseguir demostrar-ne la suficiència però van fer tants exemples diversos que "tot els feia pensar que sí". I és certa.[br][br]Quina és la propietat? Resulta d'una aplicació interessant de la propietat de les tangents a una esfera per un punt exterior:[br][img width=712,height=317]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABBsAAAHUCAIAAAD0prdVAAAgAElEQVR4nO3dUbarKBBAUWeWoTm0DM3+sC+vQhUlICjo2R+9XucqIAJSEc2yAQAAAECt5e4CAAAAAJgYEQUAAACAekQUAAAAAOoRUQAAAACoR0QBAAAAoB4RBQAAAIB6RBQAAAAA6hFRAA2s67qu692lAAAAuAERBXDW8ufuggAAANyAORBwyrquIaLgNgUAAHghIgrglD2i2LhTAQAA3orZD1BP3qDgTgUAAHgnIgqgko4luE0BAABeiKkPUMMJJ7hNAQAAXoWIAihmLnaSNyiIKAAAwHsQUQBlonDi8/mY/2btEwAAeAkmPUABHTDkfAIAAPBgzHiAXNHdif1DM34gqAAAAO/BdAfIsq5rWNQkH5Mwn8bmZ+8AAMB7EFEAWcx7Ds6NiOXXVcUEAAC4GhMd4FgqNvADBiIKAADwBkx0gANOYHAYMBBUAACAx2OWA3jkC2G/36/8U+aTEubTFwAAAI9BRAEk+XcYMm8+yKe0+xQTAADgTkxxAFtmOJFz54G1TwAA4MGY3wCGwxigKKKIdmlWSgAAgAEwuQFicp1S9OxE5gYm+UhGw9ICAADci5kN8CNnhVJ1YFBxZwMAAGBwRBTAj5xo4XxEwW0KAADwGExrgP+FVUmfz8fZ7HxUQFABAACehDkN8L/MiX6TeICgAgAAPAYTGmDbSu48NIkE+JEKAADwGMxmgOJwokkYwFPaAADgGYgo8Grf7zfM7A/fAxs29h+0yBfuVBBUAJ3QuQDgAkQUeLWix6x7BAC8/QnohNuAAHAZJjF4r9LZfKdbCkQUQFvLLyIKAOiNSQxequLmQKepP2ufgFaWhLvLBQAPxziL15HPTuQ/EdF13k9QAVRY13Vd1/BLMil0KwDojYgCr1P3zWXvLzv5MhXI4QcP9CMAuAXDLl6nbs5xwTSFH6kAIpnxAx0HAO7F+IsXCdOO0lUQ18xXil5lCzyejLG19Q+dBQBuR0SBt6h+VqE6DqnDt61AwF0IAJgCozPeonpGcnFEsRFUAH+IJQBgCozReIXqSYlcd3F9RMEsCi9HXwCAKTBG4+FCSJD/olhz94tfQClfiHllvsBQ6AUAMAWGaTzZ+bcn3Tihuf7eCDAaIgoAmALDNJ7s/HTk3tkM0ym8HF0AAKbAMI3HajIXuX02w4wKL0f7B4DxMUzjgU4+OxEMsugoPFPBe/fxQkQUo1l/MS4B2Igo8Dyt3s40zs2Bu54OB0YwSDdEsPxiXAKwEVHgeeSl7nw6zsXyyonOOOENcCVa/phuea02gJExTOMK19wWL73IHUYLORHFZXMd7lTghYgoOmkyjDAiAQgYptHdNXOC8y+KLU3q+rlOKNhlOQL3IqIIGk7cW9WqjCiILoCXY5hGd2IVUsf21vAW/PgRRelhNgy3gCtdfyfwmowyyZ7bsB4aRhRRggwywGvR89HXNVeatlnk3Aq46/JZF1Fwvce8OjXaaLKuPxwhulgSmiTbr3gMMsAL0e3RUXTN7nSFbv6AQc5F8cZpR90Nh9GmSkCOdV33tyf3SNmZEFf0lP1Vqp2KF+qhSRduVaW6PN/vd//k5Ju7AUyHiAId9f7KqscsOafAt8/O6yo2mi31Kx7QStfmuqhFO6E7n+9fporUUlnkJxX2DUe3j2D63xVpmmMgIwzwQvR59HLBtLvH4wE5Cd4eUWy1x35mRgJc75rmGuVSl2nDcGJLTNbrUjssWHUNp8ZARhjghejz6KX3tLvT5DgnwREedK6r3hFiIaDIBR0tyqK6dzecsjt7Vb+V4VDpmJAq4b1jI4Bb0OfRRe+Za6cfZ8i89lfPEto6eZuChc4Y3zVvTNbpVzwU0WMsSqVZWrz1z6YGz+/3W13yVCFvHxsBXI8+jy66zrk7xSqZUcog4URwJqgY5BAAxy0RRV0ivrrUiv5UlHj17lE65tIsboECb8N8Al30m7P2u/sxaUSxEVTg0Ygo8v9UlHj17k5JOt09BjA+JhNorOt6p66Xq/ByxpwCDDURDyXPX8h0eJravgoTqNOvu32/3/0fe18IK4KqE1yPlCYoe+iu1dDapEr9JzROJg5gOnR7NNbvotL7WpWTvj66Qa6dFZVjRkepWQLRBW7Rr9fvTXrwqbDZH893xlZHGsozch0CuAY9Hy1dsCSp0+Uq53Lofyd3+3W0tBjmyRr5APFCnZqfOQ8esJ2bhTyfbKdjHKrqAFyM/o+W+l2V9dy3U/rONocRxe0X1NJiRLU6+NHhhfq1vVR3bp4RALwBoyfacFbLnIwBuj6YEWXhb2Ye3f4MwyDPI36/31C2sEzcd3jWos+7lR0wXDPRz+wsAIAUIgo00O/L+/MpFOWSXxi98TVTn0MVNeafrCbnEahDwwOAKTBMo4ELIop+345nZnF4OONMuyuKkRlRtC4pcIC2BwBTYJjGWYchRPWc4JpXtVZEFOaWQ828S0uSquqhDgovRPMDgCkwTKOSXLIfmL+HUDcnuObJhPygRR6mXnU92u9UhAc8MiswOpvOh8CVaH4AMAWGaVTS4cThlnWJtyhsUl1E4fxpqKlPKFJOUKFPqMQz2bjFgN0KAKAxTKNS5q8aVUy1r5zF5pdNT6/3vYYNJ7bymnQiis4lBWy0QACYAsM0KpmrnqKZq/OnFLlW54JXOhbNV3QQFb3ZdsB3UJYuHiOWwFBohwAwBYZpnOJ8pR3Nv4tS61zqU9mljndk+eWM4qX+RQM8s3QxAHg5hmm0kQot8uem108dzuQ4UTixldypGO0Rc7wcrREApsAwjZZSEcXhjtdPZOcKCc7LP9iXVAim8KpOCgDzYphGS9/vd13X6OmCnO/Fw+MTlz2KsGdnvu72ka55Gy/QVmi3dxcEAOBhmMb9blzv9LbpNd/4Yi7L3/sP7i4IAMDDMI2b3TLHfW1EwWMSmA4RBQCMj2Ead7plZv/mWXW0IO3u4gAHXttVAWAuDNO4jZzaXvlLDuGZjXdOU0JQ8Z5nSDAvnqMAgCkwTOMeN87p3xxOBFQCpkBDBYApMEzjBotwY+4nt5ndG44Rs6OVAsAUGKZxqe/3e+86/pwJyvmHDfbD3N+ce+WCriLyXNxdFiCJJgoA42OYxqXuvTux5c1OZERRV87lV1VJr3BvdAfkGLwTAQA2IgpcbIRwojSiqCjtLBHFdvcZAXy0TwCYAsM0LjLCDLsuoqjI6HxMcqUpCol3onECwBQYpnGFsGT/xjeW7k815KzwOR9RyEcUppgP7YUc+akPvNNr3x67/rq7OB75Pm7eSQ281uuGadxihIl1/tQkP6JwtpkrogiHPPjcBW8zSw9qSN/hHPzw5yotgE7o+ehukCtNfhmcNUvm/5rJzniJnaioeIm5elAT00UU4WuIKUoLoBN6Pvoa5xrTMKIIn0SbyS/4J5oQBHOVFm/w8jY516KviYoKoDk6P3qRzxLcvrh2+ft1iJxVPamnIKLPdeAxe0SxiSXRdxcE2LZbI4oRninaB5n939/vt9UzFedrda+caFAdYagHcBfmDehlqMl0UWFy7lGYclIYnxkg3WvSmsR515x33cAGaf8yomjYC86nYy7NoocCb0bnRxejXV1KCyNn1Ut5RLHNPAmWx353WbyJy3QViwq9z7XTugZv/2eSPZ8CEQWACJ0f7Y324qC9MEW340P59YHkTHCj9VHtDuUig5xBP5wYoYTorV8nipZlhrdLn2laeq/9f6tXK8kXszZ8APrk7uu67gULRZJVV50sgKnR+dHYaFO9uvKYk1fnT9Gl9PwvWozg9vI7Vf2A6kWOrmc5lXjdCNajrZpPZlc8rh2Vwfx3foKLunm7DTBcALgXnf8GYSx+3uB74zdVqct/dXly5gepxJ8RUdz7npnqyseTdD3LqcT3D8eJKMwP8xPM70qZh7wkrl/0R+DN6Pw3eMZ003TjQZmX3jNFyr8Mp66sDzjFpVONHlnrMjymenHozFnO2TGnO1c732v8exT5Ra0bxw5TMz/PTATAw9D5byCvB495197tK++jBcf7f8OHFaXKWcTf9jo9oFAJFzfUqAKj07e/RvMB1YtD1Wc5PBqRs/EqhCZXN2jIRwvk/9a9izYMZfrDojqJUtgHRlmwukWhulSPuaIBKMXF+AbyevCMKdHt4cR27pZCkzRTBnme5IzSemuYY8VZw5PUnf2cfucEpXU9N2c0KEpwa/cchVnU6t3NFOikwMvR/2+gv/y+u0RnjXAgOZfzijovTbY6o8FdfzgvqVj46k535vapxKszbd5izbBnhIgiKkN0mHRP4IXo9jd4WEQxyFFEz1EcXt0zC+ysfTrMpdeh3iEc1GW3XHLO4JXlwS3qelPm9mYrOtOFm/d6f+1ldbLnB6icvnkmfQDToc/f4xkj78hr2aP10PKZiqIyR78ssScll0TLtdfBvoa706HdJRzaZTlmPspSt+QdU6j4Pl42DGezqGub7epk4c/To1aTssnnKOpE4170FMpTx0AAjuEmgi8RXR7uLk6NkcOJ7aa3kYxZFQ1df8Yzg4rH1/xrVZzf/I1l4mM2J3nrtVU4AQA9jDJuvlDmPGnYi8f5tbxdjTYzeIy7Kpag4p16n9wo5ZFb0bDXAgDYiChulBlRBOO8le/kCxYvMH48Ni+5VqTuhZhnhFVn5mIzTvfzEC4CwBQYpm9TGlEMclkdqjCmwZdjPcCVbcAPEogo3oC+DADjY5i+TV1EcfuVdZBiOIgornFBDR82eyKKN6AvA8D4GKZvM2NEMcVkffAHPB6jd0vwG/9oXQP9cHIBYHwM07fR8yHzSYloyfiN38KOUIYczC8vE15t2alJmO/8ledX/u/gzRLV6M4AMD6G6dvoGdLIU6JZpumzlPMxerfeVDihows8FacYAMbHMH2nWSKKWe5ObEw+LjdCRNEjX4yDswwA42OYvo2eGA07X59o6jZLOZ/Ebx5NzgixxGtxrgFgCgzTdxo/opjo7kT4nYRxfrjjPVKP7Msfr2hyXvZ2KP+LZyOiAIApMEzfafCIYtiCmSYKfh7JbC3cUsB5NB4AGB/D9J1GjiimeFGsRERxO91ghm3emMhEoxAAvBbD9J2G/QZ3xtl5eM3o3QV5tb3lyPcdh/+9u2iYFf0aAMbHMH2nYSOK0cqTY8YyP9KwrRqToiEBwPgYpm824NxrursTG49vjkTeneCM4CQaEgBMgWH6ZqMtNB+qMPmYdowjWu90d3EwPbo2AIyPYfpmn88nLD2/uyz/HkUYoTD5whT27oIgvkHBm3xxHr0bAMbHMH2/Qa6XgxSjAjcoBqEXO3FecBK9GwCmwDCNbZv5ss0Cm3GkIooZ2xUGQRMCgCkwTL+LeWGe8V2xAROOcehzMd2vmmA0tB8AmALD9FvI749l5DB1OBEeQWHCMYL1T/jk+/2GBsYzFahARAEAU2CYfoVFiT6/t3jVeCZ7FrO3NNyFlgMAU2CYfgsdUZi3LObCbGMWnCnUeW3LmX1wBvA2rxumX2td1/ByWBlLzHupnnq91guF5vf9fu8uC6bxwvuQcq3gawMqANNhnHqdx1ylnnEUr8IpQ4UXtpnoNvLbDh/AjBinXmdR7i5RjakL/2acNRR5eU/vdIvmhXd+APTGgPIuOpyY9KIydeFfjnOHfC9vLZ2m/g1r9RkXFADn0flf5Pv97iO+fqZirkcRnGKv68oy/cGFtjdXq8Mten9Jv//j8/nsrVE/wHBvQw0vyI4G7ZNFOj/7Nyvq9uoCcCMiirfQl5B5v1syL13RFe6+0uEYkw/k69SjU5PgoQZGc1g7X6pWKciCLb/PfpxJHMCM6PZvYQ7041w485k/w6wnAXMd1AtxgpDpgoiiVaaL+pojfF5XSDncydRO1sn5KjXH4SZlAzApuv3zpYb+bc53iejDccKJuQ7tbThByNGvkeiRRM7aK26gRcPO+bHIjyiqqyXadxE3GYoKdpgygPeg5z9fWH1r/nW6C8BhOBGtE2Bdzcg4Rzh0TUQhH9ioe3hDP1qwj71nfjnHLMn+RNxWEgPI8dB5BKK0bOExDz0IFyUF4AFmmkqiQs51Yq7R35wEyMPkgYqJODfQgF3XH+KUbS/69wgDYyq2KYooUvHDom6kVBTMTC0/HQCPQc9/sufN1aIjkhezcPknopiLPoOA1LUj64l1+Lxu1dO+l0ynOrWtUUSxqZuBZgxQVMkyBf2GjI3QAngfOvwzhRfFPmlM95+gCC+NlR9+Pp+7Sot8Z5aF4PEuiChC8wsjRkVrXDKUFs+MKM73l5O7R0PxPvaa66nq0gcwIzr8Mz1yQNcHZR5mNEW4upSo8sgWiyauiSj2/zWfhK5IbVFf/9cdgi5Pk/l6wxR81ekDmA4d/oGeOprr43I+eWQNPBtnDaaurSIaMU5GFE4udTumfnHvTJ00GSGdx7sZgYF3osM/zVOHcn2jX1+3uJ5NjbVPMHXty84wMkI7dB6APpNsv4iCdy0Ar0Wffw757ER4qOAxwjtw5aHJF+OGf+spwr7A945SowxBBbSu09Po+345IR5hFP1+v2H4km9rPZlsqyFx/RM+CQUeofYAXImI4jme/c2QeXSZd96fXTPPw8mCRHsAgPExTD/E4yfNqaPLDyf42nsWj2/MKEJjAIDxMUxPLyx2evCbUv0p5n6n4vP5mI9YBNyFnwhnDQERBQCMj2F6eo//QrfuAKNwolPZ0A/nDjuaAQCMj2F6bm+YdVUfIyudZveG5o1DtAEAGB/D9NweP+UKB0hs8E6Pb+E4RAMAgPExTE9pf0PffqF98OMTGxHF64WXAtMAXouIAgDGxzA9pZf8ilCn36/FXGgDL/f4gQ4AHoBhekpvCCe21wROOEQzeDNOPQCMj2F6Pu+ZXUU/Z4s3u6bZ0+QGxBkBgPExTM/kJc9OBO+JnZDjgrVPsouxyOpG67rKW5QMAgAwOIbpabxtCdCrDhY5QhfoN9dnFjuIRbm7RAAAD8P0NN52ZX3b8SJH71ZBRDECwgkAmA4j9QQu+Gp2NGEm8Z5DRqbejzowkb1ReFkwQQUAzIVhenQvDCc2blDA1XWiySz2LqlYgnMBAONjmB7dC18+ww0K+Lo+U8Qs9hZ+OMG5AIDBMUyP7oUXVCIKHOrXSJjFXu8wnOBcAMDgGKbH9c71TvLr5+/3e3dxMK5OHUTOYl/V9e7y/X6JKABgdgzTg3rtdZQ5BIo0by20wFsQUQDA1BimR5RaJv6GKysTCBQhoniMZVmit/dyLgBgFgzTI3LCicdfWV9ymGil+VPazGJvR0QBANNhmB6LszT8DRfXcICsX0e+0Gs+n8+Z3c3vyFsXFlnMH6a4u1AAgCTG6IH4T5o+/sr6+ANEV3UtJ5qzElGMg4gCACbCGD0Q/8L5+Cvrs4+uq8NbOvtE+ZKy3Kmi/ehpK7PYcVx2Il7SQQCgH8bQIUTrLsxt5MX1ea9VlW+QvLssM9lr7PP5+EHFYet6hqL3yerbEeu6fr/ffV9a4yCu+YnPBw+tAHANrpfFml/hcmZ7eurTKveUi6ee7/zxjfMyv8R9SUSxlUQCUZ/aPzTfNdS5yDhwZUTRNRcAeDAG0GJtrz05dye2ayOKW2ZU75nythUqzT9Tr5ofZx6pWSe68b+hxkZ2zVm45k7IUBoeLJ0FwEZEUar5VCPz3ZdOvg2n4Le8DJ7Z2xmZtdf8FauDK+pTsgdd3Phx6JqzED1HMdp53wvT8GGPJrV6/cUCwMjo/Lmi2fa6ruen8qmlPvLzaFX3bl/tHRXpfGHMNzaaE6/zdPnDoTXM5WLhkt+keeTIvJZn3gp7DNmSU9voCkm9RnZ/TGU3dfucUb+7B6GRyPG234hXJ/Utz8mynU/EfAyJxavAmxFR5Gr+La+TmnOvwHe+MNEVq1X6OTl2yugaUeEvO5DMemsbfE4hasnOBqkWaH7OVOl6nRqt3wBG6Cb9Snj+dkeqGC9cPwZgR7fP1XZK4adWF1FUF0xnFxXy/AUskn9QrXLs6t7y52T3wohiK3kds3nW5m2QD9Op5mWyrVY9Ra0lNbSWppbKoqKEDZllGKRsAK5Ht88SXSROpnZ4u+PiiMK85nV66c31t18ucG/Jc/J6Z0Sx87+O9U/ZXO3wqS6o+VaPKLQdx8xdmjTFkEL4b12Ciwi/t5GiHQDXo9tncQbK/VKUf0HKWT118bQ77P75fMKH0TMVJ+Mo88GPqNh7FmHL1HMdYVH7mfI0JH9JY7FWy/QuQM5pCjW/V2nvIo3jcGH34bfILA2/3QX9KAzjJ9NZ/h4niCxVj95FY7IsbVFS+ReU/MeE9oE6GnwOByIAD/aiucUZzuxQD8p16eSknFJ5VCqXVNZNLrQni93p8M/T19Hri3eYnfzr7TV2seZPQOFiF5w7cwA8n2wYOetSc8beuvHTHKDqekcqfmh1twfAdOj5x5wxt2hpUMWXnc41INqgmpnmmSuNk36T63TqcnjXt2KDRxS6lq4p0lBubyQ444J+FHrxdq61RD3xTNdzBhBZ2jrnxwG/bJtbfgCPRG8/lpqu6XDCuRkt1/BUvIBS31+uORKLPDQZ85y/HixKw2LL5QSRvZ7DBq1ydEoS1VVUngveN6qXh+k1Y7oJSaOtJWuuIp7HIE4ORDnkDLt6vNJjkVaRoJNRUWrS+dWPspb2IS5a33U+7AEwF3r7MT18m5cK5/JTfUVJJdJ2VpR5/css/PnraJ3DtcL9spbnpahh9CjDSRcU9UZvOMbnubILy/+tu0exiaHy5KqnLXtwrk62OoXMZzPOFBLAXOjwx/TgWDp0tr0G1F3qMlM2Dyr/lsUIV5TrQws/uykiipd8oXhjs0S1C07ZNQNFBWc0O5Ns20R6lBDAdOjzx06Om62G134jdea3TYdZR1uOsLzkzIlrlcvy+8Vnq0xLy5CpU/EGwdqnGV3QMoueiLtSanA+mWyTdFKlGqoCAVyGPn/MmXCbr/aTwlr28zMYmW/z+VD01EFq9Y75SEC/Zzwacp67iJ4oqEtcN4xUs+lXP35DTR2+1KlgQyGomM4F7VO+3nrMB4rODFCpBPslNWAFAujtFXOIJipmYG0vhNfMSgM5+0xlN++UNJS24dxa7359/eSEMalDnuj0nfe2453a+soXlAHAXBimCxTNvZrP0pzJX7/pkZPskyajrSbZ5tTHnNb3owtvtpaXBxVvO96pcbIAYHyM0WUyr2o9JpHR189RRhdfcaN8n3GP218UdHfpyvgFjo5r0mM8I/9lA7gdpwkAxscw3V7DZyek7/frzHevmR7Jedi+NL9rdncJi6pTz2vKDe4ubL3wwx3LJT+aMZpwcg+fhsK9iCgAYHwM0411ndnfGE5cHLoMSB64rooXVsh5ywB3t97ZmOfCOQKA8TFMN/bIiOLlsYSWqv/b58cTGac5jVMSmDg7ADA+hulmwiKKrgtI9FKc8KLStvnuC3ui6fIL18Y4nJVRocaoNJOutBsLE5YpMm0dE6cGAMbHMN3M9ZOSrnnlvD0WEf/ZbqpRGiSciArDORrQII0EAOBgmG7jlrlRj+z0PLh5Fm/gxBXUajBUhYxTEkQ4LwAwPobpBh4zF2HW29xhaPHmeh6tEsYpCSTOCwCMj2H6FPlG17vLUi96ZILV/53kPHTxqlU3o0UU4ey86iyMb5wWAgBIYZg+Zaj5UJ1oUnt3cd7FuWvRo1GNdopHiyg2goohDdVCAAAmhul6o02GSulZLO6SCi0anp0BT/SYzW/AIr0cpwMAxscwXWn2aYeczPF17FA6hRYDtthhY9oBi/RmnAsAGB/DdDH57MR0Dxvon5ggnBjT/nCL8+hF0XMXIZHP59O33BlCrxkznNiFH6mgg9xuzBYCAJAYpouNPA1y6Pno3SVCMTO0yGmNI5x3/8c67ipViizt3WV5u6Xbk0UAgFYYo8uMPAdKGer3idGEH1pEp3iQU59f4EGEshF+32vkRgIA2DFG55KvWJ1ihqEXzIyw4gXNpVZGfT6f6PO7ird3maIoaBBzdfmnGrmFAAB2jNG5bv/CsmgZxghTSVzvcOJ+fZFSZRihbJnGL+GzUfkAMD6G6Vy3zyqiH6FztpxlooauDqOLC2JjP7KdpaGOX8Jno/IBYHwM01lGmFLkRBSzTNHQmx9LXNZOnIhiorbKU9r3ovIBYHyM0QfyX7u5vxOz3/e+8q21UWH0SvrpXmuLtmRjCG1yXdfwUloztFiFJsWQGUVt8srA5ryhXr/7NlO0kDcL1z5eRw68GWO0p+7Rha5Dqi7PRNMyXCa/SZihRavmlLqx1iOv3iYq6sNQ54PjsT0AGxGFr2iIvGxITU3++HIIUmlr9EOL6tal+0Uqi7r0LzZXaZ+BCh8clyEAGxGFI3/qcP3caNLZGKbghxalje0wtbnaMDOn603UPMCZAl6Lzm8oenZCT4y6rrTmkQlcxn/oYsl+7sJ/bEN2nPEn66HL80DFZYgomgtdu22ye3dumyaAWdD5Y2d+9qHrYOpMy/plCkip0CKn/acWW5emM4JZyvkMVPWu4VAfOuP5pHR3Pp8mgBnR+WNFc4XLpkE6iphrBoaHqQ4tFisG1s27a+GboOtdplM9p5rcUGfW/CLpfAdpElGYvX6QegNwPTr/j6Lx+oI50LquYSnI8rdKJPxpukkYniesepINNfh8PpnvlJzu1ZNFNzNxRu+IYm+90YcjDKp6kJfdqknK51NY11W+PZbVgMBrcS38X+n8IPpipjk9Obu+DEAF57mLhzXUcaaez9a15ZhnsPq0Ru18T6G68ac6zvkKaRVRRB8+r48DyEfn/99a+GsSmXP9uqlGasV5KqOKLIALOHHFM5ruIyOl0cwSUaRae+ZgnkozlVFFUvoWt8yl6JDNMtAXgDej8/+vaMT3rxD58cBh4odDPMM3ptB2mjWUZxzFyHpXrx5mc8beVFK9m3pdUocFKz3kVBnoC8Br0fOL705sYnTWa0arn0BTh9wAACAASURBVJnWj0zkHgAwg/DCSmdZ1P7XuV6ILA9nrpLPouuQKBte9GHF2YwKebI97BeFvYFFHac0qaiXmU89lV4E9cbmNRHAS7w9oqibwZt7mfOknGT1XsWHAcwpFVrUdcy7VHwrgXxdR0XzxFWfTd16z4ztZo/YWvzsg/kcRVGa5hFxCQPe7NU9Xw73dRFFGD1TQ39pUozFOGnShmT2oIm6xizlnFHXWjXH/4qLwpbXhvMPxNk+FKy6Zvo9mU1QDbzWqy9+ZyYB5y8behfGYpxUHSSPo+Gc7GKDF29evWt1SXzRfu+T2WYZZDpn2tv5tqpjkqjAk44/AKq99OJ3ZkGqTiFyuHZWrmE9/2ZxIPh+v3XTl9GEJy5SC76Xv5Xl0Qr4e8my3V2W5+jdmMPjClF7k88w5CcVnhcKn0T/yE9KtvPwSXTpqXtu4fwQsR+mbPCLdbu+On0A03lph2813pWOnoy26O3BDcwJ4weZx5//qgJa7/r0G9W9Z9Msyflm1uq4dDp0AeC1Xtfne4x3mbOZQS5ReLY3tLHD0GKEKeDt4c1jXHBCo+vCOM1ptd5Ffr5g55+jAIDI6waUi6/30Sv/mGfgAq9qbGGRSSq0CAtaLquNvTC8RrOVCxrz4K/91cf+hq4NYC7viigu/s4pmtlwDcA1Rvhu9V6p6OLKOnn5KWiIagSA8b1omL4lluDmMq5HRBHcGFpwFlqhDgFgfG8ZptcLf4Lqru9EgR1tL+LHFZ0q6gFv8h0ELRkAxveKYfqacEK/TY9pBG5BRJESOmnqpbThoYsmC+t5700TVCAAjO/5w/Q1V3Q5KSGQwL2IKIoc3r442aM5FydRewAwvocP0xdMraLJR6dcgCK0yVKHcUV1lXIuTqLqAGB8Tx6mL1hyQDiBMdEsz+gXVHQq8LNRdQAwvscO0/LZibbLkKLnJXpkARTxf/Ht7tJNzP+li9D3c0aAfXt+pKICzRgAxvfYYbrfdCqaTzRPH8jnf4/OVKy5M7XNGalDpQHA+J45THe6cjNRw1Bywgkaalv7LYut9nluTkoFagwAxve0YVouUWjy/sdNrXzY3y/ZJGWgmrn0bm/zqYii1UtREezVnnoXrTw14QQ58QZMRBQAML5HDdPNv5fVk4Mmyc7InCrdXahXc86F+SdO3JWcAENGGncXcw40WgAY36OG6YYTJi7/kjMrurto7+U0Tn8ie1N5X8d/pJtzkY+6AoDxPWeY7hpOnE9zUkyJhmW+HPlwFvvmwPgWy9FDF3cXcAJUFACM7yHDdFjHfGbCpN8U+fLplzM9zXxjJvrRz/ZE50sv7ud89RYeU1kTCPMqEFEAwPieMEw3+cKPLw416mRwqXhPni9O33n7jN+v7ZMIKhw0YAAY3/TD9PkJU2oq9nLR96l3FwdJ5gz17kINbZ/BN4sGWiCicOxVdHcpAACeuYfp89fj6LretHRzk1MupjuDe2cz3o/0ghsIF6CLOfYqursUAADPxMO0XCZe9JZ9c00zV/SI88sesgIf8zRFON67C1JptLMQfn4h9USBbkXOkwYX2HMPT6RUC4e/9xrzvMgPRztxA5q6YwLAS8w6TMupQNGOesrSqYSzW9WqJ382dnd5z6JJpCziVsA27d2AO2sQ53AGAWB8Uw7T1ROFaJLxgHlwP0XfFj+gJh92OIdC9ymem19rVfeOFiaXLxM1AADAgCYbpr/fb5hqfD6fw+33qeFqvWezc0mfID+oKFp1NqbV+nmHu0qypV8/agorAPfmfWICX0BntKolTIecpUHAboReCYde3Hh3iQDcYLJhunTaZ06DOpfxgXQ1buKJ2JsL105R08oXKuqyuX6FULaogywPOr+Y1N4y7y4FkvTIdneJANxgsp5fNGAxxjVkTjcfpqKpNJ3VtxcK2afCgCvIxowB7RHFxq/fAO82U8/PHK2cqRXg6Di1b+fuSgKuRsufCCcLeK05en54fMJ/dkIuKN89+zv1FwrPGGzp5w3kot6oPfQTPUKQegnpJl6rGo7oAU+hAP0wSd01HCjCwHj+Ehk9OMHJAl5rjp4f5m2pDVjHOaP196383Wf92QhEgXHsvbJ5smviJ2iW8RbwNB+gUsd+smAbEQXwYhP0/MORXQ9quNgqftgrurTcbhO/qBD+YR5F2IWIAhhH6Mg9kpUDxZb4aqN51vmcr1qaJHsmkR4FAzCv0Tu/M0iNNvQ/0nJtbFCU19Z6qhFSJqIAxtG2m0fJRkPKaJcVfwCsdj6i0O9dHKG6ANxo3M7v/PTEPpbJJfJv/pWJsDpfvxRcW/7W+vd4wCB6fiB6lmBRv1QgC6yP6HryQG4pAACtxzw1GgP3wWr7ve6EISs/zbBXdGFarN9qzKGLIYtXlNRqrTJNbZCTmjlUNj9TAGYxbuc3x83RvkBqa1VrhwZxa61cJxwvEQUwjq6jkO7yZ8aB5mOp3qUuNadIa+GvPO3Wv0WkhwUG8BKDdn5z0Jx9snt4sbkSk2ZN1s/dZQHwv65dMuryddPrKLXo38vvc1ylBdN7VYc6h99V5SfoRBSMn8A7Ddfz5f3i6JMLJsSpxUImf2iutrprh3zhKHpUzuOFBQ+8zhUYR+9Jqkx/FSuX6lILizlDguHz0qNwSiKzKEot7C4vNxWHTEQBIDJQz1+afoMS0gxjZe0Mv5nUEIxxcIKA0ezjZ+/0l98ns08mlVKRmv58PXcjZSu/YZKZQu8zBWBkA3X+zEl55pa9hTJH/wAANCSH3N5ZRCN8XTo5146i1KLPx4kodCIXnCwAYxqo59fO7bvYCBIAYABhTL4gi5N5LUf3wytKFe1bl5STcl0K8jBTh3ymhACmM0qfL12VlP+AwVa15BQAMIILpqfR27S75lVEv822SQn3q+fJpPRVe1XvJT9ZTgATGajD8w0HbkerA4ZyzeXg/Dqifswv1E6m2Soy2dSYyeOCwGsN1POHHdABALe47DumVpP1frg4AhjZWCMUIyYAILjymyYuQABQjQEUADCokdcjAQACxmjgf+d/3ApAczxcBwDjY4DGY+XPP3grADAsuicAjI+hGQ+U/14U57XFVxUWgCfVQ0MH56YiANyOaROeRr4Y0X9JojNNubbIAJJyfkyNngsA92L8xQNlzjOYlwCzWKzfPXBw4wIArsTMCc90GCEQSwAP4McVd5cOAN6CARfPpL/C/H6/+5++3685+QgbAJjO/kAFQQUA3ILRFk9mroJg2gE8GF0bAK7HaIsni57p1B8y5wAeiecoAOBKzKXwcDp4IJwAAABoiOkUHi66IxH97+fzubuAAAAAcyOiwCvoByeipVAAAACoQ0SBtyCiAAAA6IGIAm9hRhS8MRYAAOAkIgq8hfnSWO5RAAAAnEREgbcgogAAAOiBiAIvQkQBAADQHBEFXkTfpuA5CgAAgJOIKPA6MqK4uywAAADTY0aF1yGiAAAAaIgZFV5nf3aCiAIAAKAJZlR4ne/3u64rz2QDAAA0QUQBAAAAoB4RBQAAAIB6RBTohRezAgAAvAERBQAAAIB6RBQAAAAA6hFRAAAAAKhHRAEAAACgHhEFAAAAgHpEFAAAAADqEVEAAAAAqEdEAQAAAKAeEQUAAACAekQUAAAAAOoRUQAAAACoR0QBAAAAoB4RBQAAAIB6RBQAAAAA6hFRAAAAAKhHRAEAAACgHhEFAAAAgHpEFAAAAADqEVEAAAAAqEdEAQAAgFOWZVmWZV3XuwuCexBRAAAAPMGytJzX7UFC/pb52+N5OPEAABxb/+z/vrk0t5JVIX0+n2tqZl3Xz+dzQUaDWH6lKrnhnH5d18Psgs/nk1M8PBsRBQDgNnLiMuwXnLqQY5bzGmYlXFk5rz0F+0zdOfDmNZOTGl0DO048ABzYr5Gv+u7tsu8ap4goZNlGLuc1oqqQH15WOa89BaMdddQ1Nvf2HX3n2TivALDJK6L+0+Dz3R4uiyhCdtt4s6VAhj3bi6ezgewR4Yvzi7vJO0/BaEedf9LfOZC+CicV13nP97vmCuNxRN8Kj1zUa0TzRfOv+3/fs3T7lrYxRWs87DircmXx1nX9fr/h3+fLFlLb/73vtT8vEe3ud6LzdRKlEMpwTSXvxx5O/U5WjixnKG1qg1DgfYM9TWfjPevv96treN8rsyrCUcgnH+SwFo5xz2v/XyfB6FKSOoqwgczaSRYz4oziCqs7Y3ue8Y80DO7jF/UaOVUxxXy3oVsiCvlv54ysJY+NmumfKWRmwaLJ1vmsMwsW8cvmFCxKIZVsanu/YHIDPRaZm6UO0ClSQ/m1FwqTKpv8JEo2lY7eMdossyp0EBjKECW4iltP5mGGkpvHpWXWHubFTALdXT/0326iY5yoqLeTl8ABr4VNetmSWMSiL/86o8OsD2cSizXNkhun5uuLO/VsVTmHR5Eq28kc84vk55tfMLOeN3WKU+mbZdMpm9mZueikon/07o8y65BX6tD0BrqSQ+Flyc2qizZInbJom9SfUvccnA+d1Mw/+eFHziFgUpxU9JVzOXmeiQ6wrpzRlVVqdWkvLZi+GOttzKtpNGH1s5ARhd+S5YzncC7ufE+ZaUk4k0j0iXnsDn/juqOoiyhM1Q3VOYTDTOtyzCyPn6lfUVGaUUSXqj29r+5iTl3JvfSBOMXTKfRmFiMqno4ocvbVAXPOjqnWq+8bRPv6N1X052Y6/l/Nz4ko3oCTio7C2BEtrPTHxHx+CtFf9/Wjzvbm6s+i3EMW4QCDopRD+uvfCv5NvH99Say4XX8XFpuHE5bGhg3MOcFuX+0qyxDsn8gNZGohi9JDXpTo9fbRZSmUIco3rDYOn+hkdY6pb++c4kWpyYyiZcqr9UWjLF5Uzvzai/Y6E5zoRGQbjhZbm7Ua7RsdbHSynBoOrTfaOKQQLe6PEtzbgK6ZLT3tK62lRQ1rW7qF1J2O0vKYn0dNfVVCL9b76k9C7cnV/3Kz1ZoTm/nqLMwPU/V22FvbMhtMVAZzqNzEcckGYzZCPWzqKtLb6LzMDZxmn/rcPCOpsgWph82uPF+4BScYHaUGIz20RRdd5zKs5zGpi1D0udwxtbGfoLmLeRS6kAW1dlSw/KNIpZmqosN8zc30/9Yddc7B7v9OVW9UhsNybr9n9rDMfo7mBk7K5tQ/lUJO1aVKm5+O3v1w2m0WODoR+WXzK0pu5m/gZNQwojD/GmaZi6Uux/wiOVmY5UntlQoMzDQPdzQHbR0SmOfFOVn96lNnlNNgnCBHp5CqdvnXVPU6B37YF0qbvZNdKim/EirKgFkQUaCXw683FusyvyQuxtGO5vVJpy9TMydwToJmwfT2qbgoOpCTNbmpYdosklmYaC+ZrFk258NFXd7MlFOJ+FJZmOkUHXL4MBVVZpbZ2VGWVm9jHoUszOFM4pC+SJ9vezn7mocWtf/UXn771BtH6WvmIZgtaukcUeSXsCEnR6dIzpfTUcqpHA93lGdQ5rtkDBpOIeXGvSepfkUtbms3z37qYP29zkQUzlFs6c7upFYdUTjlx9Q4r+jFuf26Wbd3w7w52msVb+0Mae4bhLfmLdZrPdc/e5rmOorosrr/11wGsIoFNnL+JzeLsog+rHZ4yU8VWBYjqgRdTnOvQGcR/a+s/+rLRjizIWU/oth+q9ecfOjd198FPDrNFLM9pw5WvnvR3NGs6sMZQ0rYUS8DK01KJhj1xNRm+sP9H05LMP9knhdZktCj9xVWYTRI1ZjZ7FPHkimUvHTV0/a3HKs6a5McS1chquFUYzCH4igdvU1IM/pkb/bRNua+e0ON8k01FbP7yNaiU2so9KxU2cLJdYYIPS6ZByX/nRofDkvr/Kl06HPGkNSfzKTkG2PD1bx5X8C9iCjQy+HcKH8wCuk4s5PUxVKn6c9yUiU39/LTacW50PrZRfMJvZk+KDkRMa2JaEom4tSwz8zObxI5aeoPU23PT9O5gkYtJ6qBVBnqasnMPT/fopSj2EBv409xnAM0G8lhFmaCcgM9b0uVrZrTvFN/CjXZ5IyXlsffLDqDod/lZy3/d1N1njrRqYoyczE/jMaiHudaZmeWVn6+Wl8fpLp5zuHr7pxzVfU30GnqfKNPUv82o9bN/eqhqHVhOkQU6MUf2lLDSmqskdfjlMzU/FI5Fyfzy6e6uWmRw1m1fzhOkXTV6fp0LjmpiCKVnc88p50iitSW/qXO3EBWV3TVjOow0jaiOOxNpVfxKFmnizmH4O+VapDOxoeNwWzPqeLV0b1G/slpIc6OTcqTytrZ0iySU9WZ6adKeFgV+bUqc09t0JYMGFKHoD80D9OcXss09fVuSzekw6+BzBLq7Mxttt9IZlHDvi5eqgIPN8DsOLXo5fBLo6KIQg+Rizuyh70OyxkNiFviGpDKIv9OSzWzJg+nWdEXSKn6SV1vDkulLy1+yoecb/jCvyvSzy+GvrLqDfyGkcorJGteuTOL55eq+UQ2StZp/37K5o5+RBF97sRm+hjPt0P/QFKzN/197Zae6jUpjy5blLjziV8e59DMBqwD6Sjlw3pIjeR+OQ/H/7bMo9CblW5jTtBTlVNUvU61lB6C2bzl9pkRnVMkPACnFr2shc9R7FIDlnxxairBVBmcQi7qtYabWAG/iWX6q7X43vkGXU4i9ZWjiBNR6OyiYkTbZD5Hoc+OrJOwZSqiSM0XHaljlLksaqqRk3J+MZbfRcbOHH39W9MfXWWjUq2JG2vb3xri8L9n1hPvicgXB+/0nKAo2fX3cYUl/aiS7ESp4pllS20cke/elU+JyILJjbf0HOtkH3SEzfRzLPpw6sqQ4hcses1uKKR/ynRz2kXvQZaVs4oRTycetlms4cV8+Ee+nNo8ffJRpctW5Dv1JgsmayM/ESflqDJ1yn6OpaLUeOABOYgo0Iszb9gK1wuFjf0EzTL4hTxMbUlMFqOC6c8X9QWSXxKHmcJyNIOPPtGX5HCdNvMyU4sSjFKT/604ZGdWFCXoTDL81Jwto13W9CuMnJQPyx+S9dNpXm9NUjYbz2Euqbl4Kke9l05tU21MF7JVJUSHLAcip4Sp4p0sQ2Y5o3+U7u7seM0hAJgRQwM6ci6iS1VE4Wxg5lIaUcjJik7WL5guT5iCnLwMhxRSM+koC7Pa9V5ys2gCvSToBM3UzEIeSmWqa9Iv2JaexR6eLD/ZVBly8j08BDPH6trT5alL1mm9UXZ+Lq0OcyilXwaPf+CyoZobPOn0AWiLoQF97Veg6B76Yq3ACdvrWZc5e3a22cR6jPBX5615PlmqPdn9prYuSaqQJ29Dh7v/4R+69nSO5vHKF+DK0xFOkKw9+YJOc8VLWAKxinUUoTCpU5wSVgHJlRXy169DwTSdVPiT/pnw6Cgc0caLWFwRstAHslrrBKKNV9GKtvK5qUmXh7UKYzo/JvQTDQirGu7uLiCAQTE6oK/l90trPfmONo7m5U6ycrq/WF+fZ2a6qe/vV/XNbthAfrKpr2lTZUjlm2nYyQeA50mNnyMHQgBuR0SBi2RekPpdsfz4RG8wzrdxXMUBXGkVz6tsIw2GAIbFMIFLHU6OuXQFRbdZAAAA7sIEBUOI3h7I7HlTj4Kw5AAAAIzp7ZM2DGJ1X6EDAACAYTFpAwAAAFCPiAIAAAC4wlOXYBwc1SpeOS+Xo8hV79FPDTj2l6Prl7XrF7frDwEAeJL19xdgot9/aGtRv0IT/Tt6ZEvvohOUG+/CfEBPDKKNw8/dRLOIsOR1/99t2/YNtr/f8QibyZ+ake/rCynLH/BZxU/rhPlc+NP2+7M/m/hRHX0U5pwnfJ6qkNSOspDL70vMZWrOufCzCCc3tXtDujFHf9X/drZfj/rC9ve7QHu+dR0naiS7qKH6hYx+5UlvLH96SM5swwbRaHABnZesve1vwl86Dz+IKPTS9nc6rIpwhpa/EUHvuCZ+2HhRP6qwiBf2repHEjbxar9NBbvyf83EQ2rb7xtdo8KYiacayeE2ZhlKU8jXPMFWhi0YHOZAr9tz3ckt2ivq3RXZ9VNUniuvnTkyL+rL79sRVuvpL5wUajhny/0fmdtHe2nRud7UZTFH/pbRLpu4sq/qa9xM1Tu24uS+JaYcvfOtsP4GzPllMDfWzWn5bb3Lb+UclkcOVjpfMzv5p/CPqAyLiLSjvDIRUQAATpn3YuFfd1GkejIthVn14b76W7YmUknlhzo5zKDFTzzzMJuUsDqRaM4a/i2PLv8US7L+T54IXY0ywZxpt/xWV5/KCpeNOaUZlQQUJyKK/ebIou5XroWW9LopmVH0+Sruma7WndZFLM0Km0WHoG+JLr8Lusyj9jeQOR6mdkbOyFKdpl9jmaqPvUntmfUTGkldCv3OZg+HLWTAw+nRqiV9yDpHvwypSpNjiJma/kc0QB1mnVk5TU6rmVcYMJ3NzF6T36PlypPoQ7OQTic1rwWHBdNLcaJ/56/yPRSus2tiOUTRtfxJKo79cHnGgOuoX36WsVv/nggI/w4NY3XXUFVYxIxXDkThr2FoDeNe0bEURBQ0fQAAAOCpqqf9RBQAAOB1mNUA2iIeqCjbMSfpXUWxAAAAAMyldOZPRAEAAADg32MVjZ+j2IgoAAAAgHeom/MTUQAAAADYtt9fDinYKzNdIgoAAADg2YgoAAAAMBDeqTWXVfxEUtGORBQAAAAAto17FAANFQAA4Iy6mf/9EUX0Q/ROSHTmxtn+I+er+LXzTCfv1n0+H/lT59eLflx9+fsNdl0Ph/e5wl/H/MXD7/c7ZsEcdS9oA066cUQCAAxusnsU0TQ3mq2milF9FZRZVOxVl3V0dKW7N6ErOXU4h+XUifQternpIophaxIPJsfeu8sCABjOlBHFnn4UXaQ2PlOMunnwyYiiOt+GZO5+PReVc9jpyJilSmFih+sRUQAAHDNFFGaaORFF9dfPdRfRJpfe2yMKWWl+hBPCvJxkx5yOjFmqlNsDzsiZLoaJDNXqptOq6qJEDr9ZA4BrdI8oSp9A8NM0C+ocQ5OFv8vvmvXDI/p+v00yjQ7qMN9VqMt0L3lYpi+T2gtz8mweXvPWX2Z28skH81mCaC+zWqKM5PFGW+51Ep2Lz+djtnCZ4PJ3h6dhFwi5DDWBaNvN0VaTMXAT/W6QVtdWGLTDP/aeG40S1ZV5svaWX3LcW9VK4CanGwBKdY8oKsuVSDMVNnS9zkX5mtntG4TaPF8YWYHRBcPZ+MxFRSdSlGN+FqUFyNlG1r/ccbW+wNPX4IpMN9XIo4Yht8mpnCJmOe8ySDGeoe10cD19nzY041Svecb81Ty61CGfTL90X7/OdSErigcA59VdFG57jiInzSYXgChBc8K6ZMw7z1zIF2tOrA/HzLfuwMNe8h/mIVTnlaoQ5yhk4vJ/F+sVUtFeqaTC/4YzK0+xLluUlM5uS6/+6jHlqqj5fnQjGadsE3Haf3UTOv9ti1Oqk2Ubihk8bOlvEyqc3N2JSehuAEZQNxDdHFGEK5k/vLa65jlXF5myee05k/Wi5qmHx6v/t4icKOeXPP+eTKpUqYtlKmDISTZK0J9a5RyvTkHXfCpxp36qT1b1jkEIokrT1PUQJXuybGYKsrafMYuNLGkjRxTVKQ8lDGJ6NGt1Ls5Xl6zzqDxPOhcApjbNPYpNLFXfF76bo7xc+Xp+/iHH7mhq6+d7/vohc5T56k/MzeoOfFWPDRyWM/NIl8SvKKRyDJ+HHwYJm62CPtjwSVjfH9Yxp8qfGVGY++7/Dg1SbnyY+JIhOtjQ/ve/Vvwwxfr7jWx4hkTnm9o9OgT5tIl8yKS0YLpCwunOKdh5t8Qq8uh0wz5zvKHZVz/oIp8vCuWRD1zVJXtIZidblCxDv3z1YFJxpOvfRUqfzaCo88pjj1Lr2ikAIEfdBevOiKIorybzDyfxVMrnD9+cTJjJhg3W32jnZO5FEUX+lubGmVMTPaswaymVkVMnOcd7WEj5VxlR+Ck7B+WLJtl+4c18dQhRl+yiGmRdkXSy5pndes77c2q+eaZr4juItfY7kZCOPhcVqcl9O9WAZjbOqKH2znf/pDq7nLZUVJlOwfpVCABkqrtG3BNRpAbN1PV4O3Ex0IkUpXz+8M0Lp5msc+k9k3VRRJGZV2rL0SKKukKerPBSYSZx8ozr3UsTLKrq0oKZn18wm3T0zndTS9Hyk8psPHXl7FcD44iuJuHfJyOKVNMqSlbvtYg+S0QB4F5114ixIootMQl2FrqU5qsTca4HToRzMl/9SbQ2YL8Dvv293jRsU5Rv6T30/MUPS2KtQirH6M2tqSoNRy0zSp2yw9z9zazD+pe++fl+XpwdZRZhDUP0NttdWP6xipVgck1I3awi1dIyl2REMyT5zfqZsqX26jp5krUd/le+UbRTvpuo8+XXWvIC4qjOZYORaZ4pYdRTOq0+it7cqvV7YXGoJbm4qC47udfJyo8SWWrjfwDopG4sGjSiSH1+ch7gJO6X58zhmynkfLKLrvrFJ7hk+6KIwklB/3VVqz7MzVIfZuYus/Cr6/Awq6/0+RUut1wsmemkil1XpBx1pTJjxX4z+7oKPMmMmqTq4031rDpRUl3PxWFzuiC6O9mtUmk2KZX+pGuFAMChurHotojCTNPJq0kZnExLI5yT+ZqfONOR0pLIWXVI9rBxFEUUsmwyZX1dNE9rdGirtejZnEU539EulmgDeZhOlepEnEaSOq7DLc0jyk/BzLp0L52CPIMhTR0TliZ7fUTh65GpbsZRec5HFE1qLCph13Ohm/f2e3bmiiicU1xdsOgTIgoAM7o5oggD6OGg36QMOpGoDPLz1C5Fw72c2fv5pq4udZfDot1DGcypbZRmKvHDrHXu5jY6DpG7l6apDzOnYDq1Lfs7bycL5yiKSuVnXbqXo9X34jqRcIyXzWLPV29pvtGfTh5vj4hi+R17H3a/KGTd9rz3iCiW00E7ADRUNxYVRBQNV7suVhRhHkB02atezK1z2ZmfmwWrwy+GAQAAF9JJREFUyNdMXxdmOYoiSvNNpWAupo82cGYY6+8rFMPGq1oJHVWj3iDaUqZsFiz8af19AsGsk1Cq6K9hPXf0YINfmUXNXi7XrhBOkFNjjnAGS3f001waTcL2o4vahj7vrYRkZU2Gf18QyewNNTQ5s09VpNw2opD6Pc9wo2ggOl97so+fLNj6+87Zfn0BAEpVjHL33KPYfq/oq/VVaMOZ/ZY9iW+er3lohxublXNmLtJ8S6T4jcdXnemqboWdaTAy2ZMFC8yDbXX44zgcPc6n3LCTPqzyHY8/QABoq+LScLx1w1lFKf/aXHFlrTiKM9nh5fwG3GquqdNpNU1cGy3wiMqpP7lleOkh+ka81Sne9aioJ1U+AKCViqvD0BEF8FTRdPNMUj2iFF3Ik0ltifcgvSFQZ/AEAEyk7tJPRAFcLQonmqxfj1bKnU+wU2oAAGBwRBTA6JrfSQAAAGiIiAIYHeEEAAAYWcWyZCIK4DoylmA1EQAAGNCS+MkBb5fDLYgogCbW9G99AAAADIJVT8C4uEEBAADGR0QBjIuIAgAAjK9LRPH5fIgogPNCV6I3AQCAYXGPAhgXz1EAAIDxEVEAQ+MeBQAAGBxvjwWGRlcCAACDq5irEFEAAAAA+F/FCu2CiIKV3wAAAMDj8RwFAAAAgEqsegIAAABQj1VPAAAAAOrx9lgAAAAA9Spedk9EAQAAAOB/RBQAAKDeuq5ykfO+5vn8HGAVtm37fr/XLKVef32/X3Oz1OcV9kOLqvGwhE1mWXvW+ynLL0CdMDmU+mWHi1VM/nmOAgAwqwdMYnKusPmX4DMVEl3u284Xo6RazaEr8vU3Oz/VkVPtnNQa1kk0yz+TVF2+l+WI3ioaJBEFAGBKehKjvze9q2w58r/lzTmc84csy6OTPVmZ+kivOTtRjqNFFJ1a7GUBm8xu8O6GIgsRBQBMh9G1VOq72Lu+o62WM5vMPKLzc2I/othqG2qU7C0n6HAm07BIRfMwWRsNxwEiihypAjMgb73f9UQVA7frvTRW5vL5fPa83tD3VyW1WcPxsGgyERZbz3jlbs6JHGRF3VW8Cp/Px5nf5BzRnsLJlrmn8Pl85CcnW5254/UnyO9oRc9R5AyMOSeibY+WA1dqEAvjW9vh/bB9NnzA4/v9hkoLbT46ovBh2Mus52VZ9vMelWpPVm+8/H1t3yMIHEpdyySiAGZywWV4sXTNcRA5h9x2BlBUw287Hb7Di/o1FdUwi/NRUNsoV39SXTbnBJlpOjnq072kb57odMzdwwaHBxgPi7+p6b/6CZZun1O2UJ5UUm0zDZzWa+aoay+feVrlJ6lRWme3qPOe+vdmDSmtam9YK6ueMLKpu9/tfeH8WFyaywXZDci5TtwVUXB3IiIrpFVE4dTwqtbt6A8rrH8PQG/pi/dh4mEDOUBVF0zvePIY/ROkk5WnNVUYvXGq6qK/RoWJvm/2D9PcWG5v1r8zcvqp5dON00lqsebE54f3nIgi+mSrioHNo3OyNnd3PolaS/RvMxwtPYSJlB4gEQUusjehhm/ou8XeF+SSgGvoi9k1/THkO/uJK+J/MZN5yz5slrPxYfXKm/uHqeUULEoq/HvvpPKvYWOzkGEFQum3WalShWQz8031hdBJ13UNaxjMzmvOFGW+8vOQVLRXaQeRGS1/C42i63fOfNcsuTzeMwVLfZJvP4RUGXQjDLVhHkX4PPpH2Dgqc7QMxjwK2R3MGpY1s/699zZVMzq1w14TNlj/FpuV1nOqSa9W7KRf2isrqprT/aOunSphPvM0mQOFuVnUxVZrGDQz0qX1G8xJcgwMDSP8O+ryoddEHaSu84asSxsGEQUuIjvA3WWpd0tfWNXE4rKs7zplmeNgw+JlXjwy81oU/6+Zh3n+YHXWUbL+J1EB/KQyRc0785DNvaIj3VSH1RtHiaSSjaabMtkoixzOwZpHkSp8xJnVFVmsyWh1Uvn7OmfHnBw78z+d1OFMxo8onGaWOnEVqR1GNanUUknpTMPni1KUqVmMzERCGequpPIQSstjNgyd8pY4g7LLm42zFZ1FKIyeD6TOY/UAFRWjYPvDLYgo0ITuGDMq7QtNjlSOIJlbns90dzhoOsPZ+UydBP1t9J+c7c1JpDlZkfIr5LAw+Ye5nOtBpWWTO27W1SW1b/XFIlwCoyzMLf0KlBvI8piHoDdIHazcxknWP0azwIen9XBm3yqiaCi/rabOo/7cnJOYUy6ZTqeI4nAcMDc4bNVmmimZBVvSzs/unJKnMjULmWlR67v0UZiHFhXSbEVRsVNHoVNrSxd1STRpv3rPnOLSIYWIAhfJ7ISHX9ZuvwNo1IV0auGvOQ04SjkquewLTqYV+R6Wyj9Mc7PD7Ytyz8/0zPGmDmHJG0nNDTZ1+YlSi7b0tzmsWOcQlvTF6TC1UKuHuzj0jv7xRrtHV5eoYKksSku4/XZD/b+yME5tmH0wdaSHR6E30NkdHdxPwfI/j0pVkfK9dPXu8luOPhd6y8OIQqejy2M2hpx9U9undkn9qWFEkerpmSWp4J8+WYAw083sNTJls7du6cHNL6RThihB+b/X9LKoMYQChG6eug6aG9Rdl0ubBxEFLiLbutlM13Vd/5YDyo33z2Uienwx05TprGJNYbTaMuwrFx2aPTks1TU3237XdutkKypN1kn4t+6M0cARlfBMz3WucFH1yhJW5xhqLKSgT27UKvazqXfcRO0t6ctMtFd4xaHzqIw+7zJHs85DG5CL+6NDdlJLFaCons3UZIvNzDcqg1zL7jTRTHrZbrg6RsJK3yWxVD1VDN0YFtFJU4NA9GpXM5HMY9zrXBcsdaRRRs4GTm+90WFnkZuZW0an0qwomVpqFPJbpl97qT/Jl6Lm57Wkn4mqOIPme4ej9MPR6c6y/r4suJpZcqdWQ/0ctvwowVRpo4x0vuaZkhVi1tiWeBQkOoTUCa0mn3gJ/5bDrBx1o/KvSl0ZnFdam4gocJHQOVNXjqiZ6Yv69hs/RLvrUSlzlC8dBHOuSbokpRcJP7voQ38or8tappwqQ+o81uVlVrs+Cv/UZLYBZ4PDo3DagN+2U2mm/lTdDk2HqR1uKbvYciS/YE5JzE/ykzpMP5RWNjPzEKLhxUwns2Cp+dPhvOowF7OQI1y4M4+3qH2aqS3pexRO+w8bpIp6WLacYufkdVjIVGp6l1RXSn1Y3WfNHA97R7RxUe6pAvvNaVF0UtEQ5yQV7dukAh139eLiU3O4BREFzpMDpTMc5IyAOdfjsKM5D85Jze9IhxGFP4vN5+x4GFGcyTdKoXS4b56RHs2dRKJPOkUUToWX1kBqF2eKWTEmd4ooornRyfZWei4cOW1ps77/ThXMaYRFJcz/TiRymMvIEYVZ7f65OPwwlYs5DmdO1ouGl9SBpDbWhTFrwC+hk1pOOrKWnPIX5ZtiFmYR0wA/inPK7+eot9x+xyj5oS6q3H5JfMt5mHtbRBTAP6lOGxx+7eRvuSWmO5ua60QJOl/kpzpSUV8wM82XOX7pkb0iL78MhyV0arJJRpmFcf7XTME8m5mHXPGn1Odmi2p7j+KwDIdb6qpzSl5UMJmm/2Fp1/M/l61XbyaPV89oo//NL1jqtB62/8PeYX5xM8KFO6pMs5ssgv7w8CiiWk3lKOsnVdTUUBZ9bm6j8zKPSyZ1fmafOkCz9qKLhVMVh4oiCmfjiiPVh7ykvxuKcjFrKRyR3ldGFLqZbRk9d16lh0ZEgSuYX57JDcwG5kQUqY1l+qH/r+sajeDRCCs3WIXUgUS7Rxus4uXoegwqsu8YluqmXtIvX9YeDdypAKy0DOafosOUuTfMSNa5MxZFR5pqJ9H1Q2+zHj1HkUp5y4gBokXMocbM7ORJzPncFx6ZiNYNh9ScowjllDnu20QlD1vmF0xK1YM8isNEZKcLnUW2T9mD9MgQfbL9Ld2W/ys7pswr5xhDd5Y5bqJth0/WX2GD6LcXgrCNfBokp0i9pR4wizaLxi5ZIakNzA/Dy/uj9/FH/47OtSkqoVk8s/xmyrr7R0lV/+xP1FQ269cMzI23E/F/dD1aFbNsMru638GQv+AR/bc3/WseW96gNCmzF3jbH26xFg6XgGYO1uvv7CS1Y/TJWniPIqdsqdKmDiS1+6rmZ0uLexRnNqvO+jCFVC1FZ6F5RqlM/cKkctEj2+Fw529glsRs804Zdqua2m6/XSlVQr/kfovVWy6/Nmv9gFZXsMP0S1NLHUWUmvnXVJ3LDZoc8mLNjFOl8nM83OB2hwVzDiHnT6nUotwXdfblVOdk7a3li3mAAaWmWylEFLiCeTk8jCjMkT3VxPVlI9UTFjWjcspsfp4qeWbZzOxOlsHZ8syFzU85NT+uy9ocasw2oEuVKqcu5OGOTlJyg/X3e+WcBHX7TDH3TW1TxExHJxh9vqgpr1/CoiKtiW+m61I2d9RF3X6/1HT2ivZ1KqHoqGW++t9mmfProe5EXCNnIjFs4YG3KeqJRBTobrVe97b+/sC7OXE037sabSkndnLLVS0mMV8MmvqONnyub2iGvqDLHOYE8rZsuB0cbv3ndyXZ+4Llb+WDLNIu59ByMt3UVEa/ezcq2GbNuooGDXmCwpGa6UTfJuqTFe27WPOzkGY4tFCr0bHrT3TlmMWLEgn81BbVFKMETw7Fsi2Fd++aaYYzu5MtWR+vTPZkqeSwoIuRmVRFGbb0AoYHL2wAABNvj8VA9DzJnGzJSZuezkZp6sliJDTUzOlaajMzd53sevRNZ06aRdWoE2mYl5/a4lavXznVuddtdlhXevtNfIFq7piqnMPDyTmELT2z7+3wKAAAb1N6aSCiQEd67nUYUeiNc5LdMlaEm3/1Y4CcgyqNKM7U56ruisjPo+Kd7LBLYsm4WR75p9SJuNjtBZjC4e0UAMA7lV4RCh50I6JAKXOy4syzzU+clM3ZfKowqQZcMRU+3EbHQhfP1eiw8JndkKEeALAr/ZqJexToKKyKDq87lG9ODMvlnaY17Jemh92B/oKR6bsToT/eXTQAwP3CM3KZ2xNRYDjOt6djRhcAAABPsqhXLR9sf7gFEQUuRjgBAABwIyIKTI+IAgAA4Ebtn6OoeIk+0ET4xXvaHnA7nrIAgPdIvW8zhXsUAAAAAP4hogAAAABQr3S1OaueAAAAAPyzv/e/5XMUG79wBwAAALxG+yezNyIKAAAAAAlEFAAAAAD+af97FBsRBQAAAPAa+3MU+ZN/3vUEAAAA4J8w/8/cnnsUAAAAAP5p/2Q29ygAAACA9+AeBQAAAIB6e0TR8jmKjYgCAAAAeI09osjfnogCAAAAwD/8wh0AAACAs4goAAAAANToeI+iaDUVAAAAgBmx6gkAAABAPd4eC9xp/SM/ofsAAICJ8PZYILb86teSzZ+DZNEgAACYC2+PnQy12tuiXJAdEQUAAJjXPpPJn8CM+GR2wZqt+edqs5d/Ipe1FiIKAAAwtdKvvAsiis/nU1GgUmHdyOGXynLL7/d7Qdl6YK55pd61/f1+93AiiihKbx0CAIBg3mnevD6fzz51aX+P4rL1OaHo+RHFvNM15poXiFpUqiVnNqSoyenUoixK35YAAABwrzCTmXjVU5Rv6q8yopj3aYTMiOLe+ahZvaHksmx+Uwlnyj8c87RGZai4kbWlIwqdmpmgeQNNb29GFM7xAgAADGXu5yj2u1oyKsqMKJxt9v9+Pp9oLUrYYP9Q3lDTLwCVn++3gcwNwlHsf5Uzy7C9LEyUmplvSErOs/Xtv5CU3Cxkkaofh549R2XbV/ikRBtHZQvbRJk6CYajWMX7lPaaTCW47xVVddRa9pOlT4HeUuarT0p0CPrYi08AAADAteTEdZs0otDTzcNM/YKZE1M96YwSibYPW+oZtpm1uY2fhZ9mat/8fFORj2/5vf+Qylf+1flE7u4faeoEySbu7B59sh7dKzA/lAeeSs3JFwAAYHZFM5xxI4qcTHOmuYcJRtNcOcWU20dz4i1R0eYsVs+Vw44yO3PCak55zcn04Vw8X6pWUx8ebpyzY6q00eepUDOqXnMD/XmqcvSWUdvw8wIAAJhX6gvclIGezNZzbv8w/EMVEcS/kGBz53/RYUb7mnvpKaYzJy6ajjupmQnmzMXzpfZy5t/Oh5lH4ZfWPwozONEpmBHF4vI3PiwYAADAdDpGFJkpVghr2aPHA/wpplzHr/+6Ws9OhOXv5vbL7xfh0QR0Ty38aaeX5ocd939Ej2fofA8jipBU9MzAogKw6JGMkGPFO9dS1Z56JCD1YSiw+SxHKHC0V3SMe+LhKEJrkZWziRMUGkbOca2/D1GEf5s1EJ6QkWQZ6oRkeTseAAAYwZQRhfnl8XY02w7bHKa/KJnprL/3K0w52TmFXNQtDp1UZpr6G/Sl9kt0cz69Jc6UX6XO4UfRnX9EMtgz99KRiVmkzMKb++bXST55ss6EJQAAAK2sGS/nlKaPKHKS1fNyvbGfkTmjdSbK4a+6DGYhZUbhf81ZZlGF1M1Tnb2KTtPhXDnaMXPLNXGXSYcWZlGjT5zUzOLpLRtGFP26GAAAQL7X3aNwmHO11PT6MKPMeXnRXHyz5so5s9gtI/bwy+OrOAr9YXSH5zC1zIgiVSEy5DMzNYthtj2zF6V6wZneIfft2sUAAADyTRlRbInZ5JlM18TvMMgsZOJhFX6KuYF+EsCZwR/OxfXsdhU/WBF+rCNsJjNKLeVfEs8w+KLakz/aYG4fyhMs4qmY9fdhg7BNVKWhma2KzFpuo5+pkH9dfn+PItRtdNZWtVrMfFxkSauI2cw06345BAAAoC05O8p5znPciOJMjqkChw8rjkhOSaOJYFHWh8mmNsjJ1FQ33zXz9YOl0hKaAeThUeiCRZ+bUcoi4g2zhKkUomPUx1sdTuhDPpMUAABAK/prbt9YEYXMJfy7LnedlDlJTf1JJ5gzs3fySs0X86e5TlJOpuax5FjF2qHDdHJyySxVdC8itbH+a2nTH8ekxQYAAE+1Hv1gWmSUiGJTL/YJL2ZNTaMP6d2jZOVinrA85vAwozU8+q/hZaAhX6fw+42kfcucRS+pfPVmh9s01Klt8DZVAACA68nprlzHnpqbDRRRNCdDFP9DVDBvntxdKAAAADRQ9J3+kyMKdEVEAQAAMB0nSIgeW91+H0Pw0szMmPkiIvpBi4qVaQCAx6i4BOh1BDqpaFoDDE5Pm51vYOX/Ru0/avDmLEvO9Rf3CeE6UbLeUddVzVyY5vYgF9LxwAMABPKis7aw/L0Le/l7vfVOP3A4o8OjCK/8Lko2vHI9SmpVz0/Kf8u8VvEY5PmTGJ6xdLRqMEXku+m1Rb3SXX+S+rBIlII8a+vfCZKNQe4VNotOsdPM1rzmJDfbH3bN3PEks1Os1jPGdTYRyeQc0X7sYXtz3HtFRAEAOCl1FSm15H3dtYmrl7zyhcKE3ZtcX7XVug17l5ySRAVO7RJ9vv4ubPB3lxvLc7SoFRGyMNFeUeKb9R2t/CQ63boV5RzmLHoX+5rZcCtnSqtrsi41cy/ZpKMWu4hRS/YRs79Ee0XZVTSGJrtEhxxt4I3Yzt9kFRwmBKCfog4YBgV/s1XdVF1+pwXmtG9Ro+TyO9WTn8sP5efRyGUmKwu5qYFbFzLF2UCXp8iZffFCusGsv7cyFhVBmX0BtzAHzOhs6pPujz9Rq5DftYcsUv9dEiNzquTb75hstj0gJWf8OX7Tvw5Wisg+8PgBUVeRPuRFzKLM3aMBy0zBzN0cNWSpUmNZ9B2VuVdUwkV9y5gaLqNWJPfSu+h9tdKvGfyMnudtx9vJUN/ktT2nQx3ayMx7FObovWQE8ADwbP9Gxu/3e8OY/TgnV7lddrE3f+7D3FIGA2F5ovxTtMpQ7xU205UT/hStYQ3bO3K2OdxMrqM9VLRxRWGauzi7atvppcN+CvsQd5jCJp4IitIMH4YN5JLosKUcW/cN5J90UuGT8G+5oDmkIFPb1JeLumC6tGbBTOZeentdY1uL56l4IgsAJmX/UEMRveNmLbqK/i0/XH+/9Vmy7+UBAAAAuJdx99YPGG4pJQAAAIAxZUUIq3iBGgAAAAAE3HMAAAAAUI+IAgAAAEA9IgoAAAAA9YgoAAAAgLnp95hfiYgCAADgBlO884a3fc7i3jP1H4NaIlC4TdobAAAAAElFTkSuQmCC[/img][br][br]El tetràedre filcèntric de l'applet amb què hem introduït el concepte es presentava en el treball amb la figura següent, a la qual hem afegit noms per als vèrtexs:[br][br]El sabríeu dibuixar "exacte" amb el GeoGebra? [br]Actualment no és possible calcular geomètricament, amb el GeoGebra, el punt d'intersecció de tres esferes. Tanmateix, per a aquest càlcul, podem observar l'eficàcia del treball amb el CAS del GeoGebra.[br] [br]És clar que no és cap restricció prendre "la base" en el pla XY. Agafem A(0,0,0), B(3,0,0), C(0,4,0). [br][img]data:image/png;base64,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[/img][br][br]Aplicant les distàncies que interessen per formular sengles equacions en les primeres files del CAS es poden obtenim dos possibles valor del vèrtex que busquem (simètrics respecte el pla XY, naturalment). Vegeu-ho:[br][img]data:image/png;base64,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[/img][br]En la línia 5 inicialment es calcula la solució del sistema format per les equacions e1, e2, e3[br]Però si fem que la solució de la línia 5 esdevingui activa quan es redacta aquest document (*) la linia 5 esdevé automàticament:[br] [img]data:image/png;base64,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[/img][br] ( (*) [size=85]Funcionament amb la versió 5.0.263; sembla una mica anòmal i pot ser que canviï en versions posteriors[/size])[br][br]Ja tenim una llista de punts! I tot seguit podem crear el punt D amb el comandament [br]D= Element[Llista1, 2]. [br]Veureu que coincideix del tot amb el valor aproximat que se'n donava en el treball, allà calculat "a mà", que era D= (0, -0.5, 3.97). [br][br]I ara com ho farem per a determinar el punt que pot ser el filcentre?[br]Si ja teniu construït el tetràedre que compleix la condició de suma d'arestes oposades, per a determinar-lo teniu una macro a la vostra disposició en el conjunt de macros preparades per a aquest taller. Recordeu que les teniu en el fitxer .ggb [i]Eines Tetràedre (Taller c2em) [/i]que teniu compartit. Ara seran útils l'eina [i]PlaBisectorArestes[/i] i l'eina [i]InterseccióTresPlans[/i] (que, alternativament, també podeu descarregar com a eines .ggt en aquest [url=http://www.xtec.cat/%7Eagoma/tetraedre/eines-tetraedre-c2em.zip]enllaç[/url]). [br][br]Quins tres plans podem fer servir?[br]Tenint en compte que l'eina [i]PlaBisectorArestes[/i] està preparada per al seu ús en un tetràedre i demana primer el vèrtex i després els altres dos vèrtexs que determinen les arestes, tres plans bisectors d'arestes que es tallen segur en un punt són (per exemple): [i]PlaBisectorArestes[/i][A,B,C], [i]PlaBisectorArestes[/i][D,B,A] i [i]PlaBisectorArestes[/i][C,D,B]. Aquests tres plans es poden construir i es tallen en un punt en qualsevol tetràedre però no asseguren que el punt comú estigui a la mateixa distància de totes sis arestes. només de quatre. Ara bé, si existeix filcentre segur que ha de ser aquest punt.[br][br]Podeu obrir amb el GeoGebra (**) el fitxer compartit [i]filcentre exemple 1 [/i] i allà teniu fets tots els càlculs que permeten determinar el filcentre d'aquest exemple, que té coordenades aproximades (1, 1, 1.134) i hi teniu dibuixada l'esfera tangent a les sis arestes.[br](**) [size=85]no s'incorpora el fitxer en aquest llibre perquè, si treballem amb la versió del programa incorporada per defecte en el repositori de materials, [size=85]hi ha una anomalia de funcionament[/size] que no succeeix si treballem directament amb el GeoGebra. [/size][br][br]És un bon moment per investigar si realment el punt obtingut és el centre d'una esfera tangent a les sis arestes, [br][list][*]La primera investigació, naturalment, serà visual. Serà un bon moment per practicar amb l'eina que mostra en una finestra 2D cada cara del tetràedre i la seva intersecció amb l'esfera construïda. Vegeu-ho en el cas del "nostre" tetràedre.[br][img width=593,height=157]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA3YAAADrCAIAAACq35PaAAAgAElEQVR4nOzdd1RUZ7s3/rPOOe9511m/d53nPE+iMcUURUW6VKUKiCiCit3YgoogYOyKosGoaOyKIoixAkpXmnQsINJ7R/oMnYEBpu/Z1+8PEmOwUWZmT7k+6/ojAWbPxezNzNe9733f/wYIIYQQQgiJ1L9R3QBCCCGEEJI3GDERQgghhJCIYcRECCGE0Cj09PRs/5O7u3tTUxNJklQ3haQORkyEEEIIjUJHR4enp+fQf+fk5Bw5cqSqqorSjpA0woiJEEIIoVF4O2IKBILIyMgHDx5Q2hGSRhgxEUIIITQKb0dMAEhPTw8KCqKuHSSlMGIihBBCaBTejpgkSWLERO+FERMhhBBCo/B2xOzu7vb19Y2JiaG0IySNMGIihBBCaBQ6OjqcnJyio6Ojo6OvXbt269at3t5eqptCUgcjJkIIIYRGgc1mx/0pNTW1r6+P6o6QNMKIiRBCCCGRaW1tdXV11dfX//XXX5lMJtXtIMpgxEQIIYSQyHh5eWlqalpYWOjr69+4cYPqdhBlMGIihBBCSGROnTqlp6c3d+7c6dOnX7hwgep2EGUwYiKEEEJIZHJzc83MzL744ot//OMfp0+f5vP5VHeEqIEREyGEEEIiQ6fTDQ0N9+zZ4+zsbGBgUFpaiiuYKyaMmAghhBASmaSkpBkzZlRWVjY1Na1YsWLx4sUdHR1UN4UogBETIYQQQqJBEMS5c+f09fWHZspMS0vT0NDw9PQcHBykujUkaRgxEUIIISQaHR0d69ev3717N4fDAQCBQBAUFPTdd9/du3eP6taQpGHERAghhJBoFBQUGBgYREdHvxl/yeFwnJ2dDQ0Ni4qKcFCmQsGIiRBCCCERIEkyMjJyzpw5xcXFb3+9p6dn2bJlq1evbmxsxJSpODBiIoQQQkgEWCyWu7v7hg0b3r2/Jzc3V1dXd9++fUMX0JEiwIiJEEIIIRHo6OgwMzO7dOkSQRDDvsXhcG7fvj1z5szQ0FBKekOShxETIYQQQiJQXl6urq6ekpLy3u8ODg7u2rVLW1u7rq4OL5crAoyYCCGEEBKBK1euWFpatrW1fegHWCzWokWL7OzsmpubJdkYogRGTIQQQgiJwJIlS/bs2fPxnykpKTEwMPDw8Ojr65NMV4gqGDERQgghNF50On3GjBnR0dEf/zEej3fnzh0dHZ379+8LBALJ9IYogRETIYQQQuMVGho6Y8aMzs7OT/7k0I3nM2fOrKurk0BjiCoYMRFCCCE0LgKBYPv27evWrRvhz7e3t69atcrW1ra7u1usjSEKYcRECCGE0Lg0NDTMnj37wYMHI39IcXGxnp7e0aNHcVCmvMKIiRBCCKFxefLkiYaGRmNj46ge9eDBgxkzZty+fZvL5YqpMUQhjJgIIYQQGjuSJC9cuLBw4UImkzmqBw4MDPz666+6uroFBQU4U6b8wYiJEEIIobFrbW1dtWrVuXPn+Hz+aB/b0tKyfv36FStWfGQ2TSSjMGIihBBCaOyys7NNTU1fvHgxtofn5+cbGxsfOnSIzWaLtjFELYyYCCGEEBojoVAYEhJiZWVVWVk55o08evRoypQpgYGBImwMUQ4jJkIIIYTGiMViHTx40MXFZTw3hnO53BMnThgaGubn5+OgTLmBERMhhBBCY9TW1mZiYhIUFDTO7fT29m7cuHH16tUNDQ2YMuUDRkyEEEIIjVFubq6+vn5xcfE4tyMUCnNyckxNTd3d3XEOI/mAERMhhBBCY3Ty5Mnly5ezWKzxb4rH40VERGhra4eGho5/a4hyGDEVC0kCjwccDggEgBciEEIIjYdQKFywYIGXl5eoNsjlco8fP66trV1SUoKXy2UdRkwFQhCQlwd79oCNDfj7Q2kpcDhU94TEjMvllv6pqqpKXucEYTAYb37NhoYGHo9HdUcIKYTS0tIZM2bk5+eLdrPr1q1btGhRU1OTaDeLJAwjpgKh0cDDA8LDgcuFigo4dQoqKqjuCYlZc3PzTz/95OPj4+Pjc/LkycePHw8ODlLdlOjFx8fv3bvXx8fnypUrp0+fzsjIGMMU0Aih0fL19Z0zZw5H1KcrqqqqjI2NPTw8cPlymYYRU4Gkp8PhwzC0vhdBQH09dHdT3RMSs+bm5jfXsBobGy9evDjm6ZGlWXx8fFRUFAAIBIK8vLxTp041NzdT3RRCco7H4/3444+7du0S+Zb5fH5QUJCBgUFwcDBBECLfPpIMjJgKJCkJPDz+GoJJkjgcU/69HTGFQmF8fHxYWBi1LYnDm4gJAAKB4MKFC+OZBRohNBK1tbV6enqpqani2DibzR4alNnQ0CCO7SMJwIipQNLT4ehRGLpMKhDA69fQ1UV1T0jM3o6YAJCSkiL3ERMArly5ghETIXELDAzU09Pr6ekR0/YZDMaGDRvs7OzE9xRIrDBiKpDGRjh8GOLjgceD4mLYtQuysqjuCYnZ2xFTIBBERkaGh4dT25I4vB0xWSzWb7/9hhETIbHicDj79+9ft26dWId3l5WVGRkZHT9+vL+/X3zPgsQEI6YC4fMhMRFcXGDjRnBwgDt3AP9m5d7bEbOwsPDkyZMlJSXUtiQObyIml8uNi4s7f/58R0cH1U0hJM/q6+ttbGz8/PwEAoFYnygmJkZDQyMkJETcT4REDiOmYuHxgEaDqipoaABRTJSLpB2NRlu1atX27du3b9++a9eu/Px8uXybTkpK2rBhw/bt252dnU+ePPn69WuhUEh1UwjJLZIkX7x4YW5unpmZKe7ZK9lstpeXl7GxcVFREc6UKVswYsotHo9XVFSWnv6yoaEZ78hD7yIIoqGhISMjo7i4WL6n+OFwOFlZWS9fvqTT6Rg9ERo/Ho93/vz5ZcuWSWbqho6Oji1btixdurStrU0CT4dEBSOm3IqNTVJSOvaf/7nX1vZ0dfVrqttBUqeqqmrDhg1Tp041NjZ+8uQJ1e2I0d27d5WVladNm+bi4tLe3k51OwjJvN7e3tWrV//yyy8inxHzQ/Ly8gwMDI4ePYoLK8gQjJhya+PGzf/+7yX/9m/8//qv048eRX36AUjBhIWFqaqqWlpazp49e+vWrVS3I0Zz5841MzOzsLBQUlIS+TIkCCkgOp2uqakp4XsHY2JiVFVVHz16JMknReOBEVM+kSS5davTf/zH/f/4j7Zvv/01OVks85Yh2UWSZFRUlIqKirGxsZmZmYeHB9UdiZGDg4O5ubm+vv7nn38eHx+P18oRGqeYmBg9Pb3S0lJJPimfz/fy8jI0NMzKysJBmTIBI6Z8Ki0t1dfX/5//+cc//vG/Z8+el9i1DCQrWCzW8ePHv/nmm//+7/92cHDo7e2luiMx6urqWrt27T//+U9lZeXvv/8+KSlJXtdqR0gytm7dSsmlj97e3k2bNq1evbqxsRFTpvTDiCmHOjo6Nm/e/MXECSuXLZ0+fXp6ejrVHSGp8+TJE01Nzf379ysrKz979ozqdsSuoqLCwMDA399///79KioqN2/eZA4tpYoQGqWBgQF1dXV/f39Knr2wsNDMzOzQoUNcLpeSBtDIYcSUN3w+39vb+7N//evQvt0nPY9gxETvamlpMTY23rJlS1ZWlqampiJEzPr6enNz86CgoN7eXk9PTw0NDS8vL/k+d4uQmLx69WratGkSvkr+Bo/HCwoKUlVVlctVJOQMRkx5U1JSMnHixB9XragvL75w+iRGTDTMwMDAtm3bzMzMmpqaamtrFSRitra22tra+vr6kiTZ39/v4+OjpKS0b98+PBGC0KiQJHny5EkzMzMKZzpjs9lHjx7V0tIqLS3Fy+XSDCOmXGlpaVFVVTGabZCX8YzV1YoREw3DYrG8vLzU1NSKiooAQHEiJoPBcHJy8vDwYP255EBERISGhsamTZuamprwBiCERqi3t9fc3PzkyZNUNwIbN260s7NrbGykuhH0QRgx5Ud7e7ujo+OkL76IeHCf1dWKERMNw+fzo6Oj58yZ4+fnNzQbv+JEzMHBwUOHDrm4uLx9cfzZs2dGRkbLli0rKirClInQSGRnZ2tqakrD5F9VVVWmpqbu7u444kVqYcSUE3w+38/P7/PPPz/9q2d/ewtGTPQuOp1uYWGxe/fu7u7uoa8oTsQkCMLb23v58uXDVgd5/vz5/PnzraysMjIy8IobQp908+ZNY2NjBoNBdSPA5/ODgoJ0dHTCwsJwBTvphBFTHpAk+fz588mTJztvcaDXVg7lS4yY6G18Pn/9+vX29vZvT/ahOBETAAICAiwtLevr69/+IkEQpaWlq1atUlFRyc7Oxg8qhD6ir6/Pyclp+/btbwacUGto+XJNTc2qqiqqe0HvgRFTHjQ0NKipqZkaGRa8fP4mX2LERG9wudyLFy9qaGgUFBS8/XWFipixsbFGRkbl5eXvfqurq2vv3r1KSkqBgYH9/f2S7w0hmVBeXm5hYRERESE9A0v6+/udnZ1tbGw6Ojqo7gUNhxFT5rFYLBcXl8nffP3w3q2BDhpGTDQMQRBxcXEaGhrvzmOnUBHz5cuXenp6eXl57/3u4ODg7t27NTU1L126hFNmIvQuoVAYFxdnaWk57F+qlKuvr9fR0Tl48GBfXx/VvaC/wYgp827cuDFx4sTzp04yaA1v50uMmGhIdXW1nZ3dnj17BgcHh31LoSJmWVmZkZFRYmLih8Zc9vT0XLx4UVtb+/DhwzguE6Fh2Gy2p6fnxo0bpfB8YWRk5MyZM+/evUvhVEroXRgxZZhQKIyJiVFSUlo4f153c92wfIkREwFAT0+Pk5OTnZ1ddXX1u7FJoSJmQ0ODtbX1vXv3PhIf2Wx2YGCgqqrqgQMHenp6MGgi9EZPT8/ixYsvXrwohUOWWSzWsWPHdHR08vPz8c9WemDElFUkSVZVVVlaWqooz6gqzHk3X2LERADg7e2trq6ekpLy3u8qVMRkMplr16719PT85CdQZmbmrFmzli9fXlJSIhAIJNMeQlKuvLxcS0tLat8uaDTapk2b7O3t29vbqe4F/QEjpqzicDjbt29XmjIlLPAe889ZijBiorcNrQ/p7+/P4/He+wMKFTEBYMeOHQ4ODiO5UyEjI8POzs7Ozi4rKwtPiiAEAL6+vtbW1tIwXdGHFBcXGxsbHzt2TEpueEcYMWWVj4/PZ599dmjfns6m1+/NlxgxFVxVVdX8+fNdXFwGBgY+9DOKFjGPHz9uY2MzkohJEERxcfHSpUtnz56dnZ0tgd4QknLLly/fs2cP1V18QkJCwowZM+7du0d1IwgAI6YsIkkyMzNzypQpC+ZZNlaWfihfYsRUWCRJdnd3u7q66unptba2fuQnFS1i+vv7a2hojHAkmVAobGlp+fHHH2fNmhUbG4tXzJEia29vV1ZWjo+Pp7qRTxAIBCdOnNDX13/58iVef6AcRkzZU1VVZWJsrKGmWldW+JF8iRFTYbHZ7PPnz+vp6aWnp3/8TVbRIuaTJ08mT57MZrNH9agDBw5oaGjcuHEDJzNCCis0NFRNTU2ar5K/0dPTs3r16hUrVtTX12PKpBZGTBnT3d3t7Oz8zTdfPwoO/Hi+xIipsFJTU3V0dPz9/Tkczsd/UtEiZlZW1g8//DBsgZ9P6uvrO336tJ6enqen52jjKULywcnJad26dVR3MSJCoTA3N9fc3NzDw+NDw9CRZGDElCUEQQQGBn4xceLRg/u7W+oxYqJ39fT0LFiwYMuWLSM536BoEbO2tlZZWfnly5ejfWBfX9+dO3dUVVXd3d17enrE0RtCUqujo8PU1DQgIIDqRkaKz+eHhYVpaWlFR0dT3YtCw4gpSyoqKr788suVy5bWlhQMdtIxYqJheDyem5ubsbHxCE/UKVrEHBgY0NbWDgwMHMNjuVxuZmamqqrqjh07aDSa9Cygh5C4xcbGKisrt7S0UN3IKHC53F9++UVHR6e8vBwvl1MFI6bMoNFo+vr6hrMN8jKefTJcYsRUQGw229vbW0tLq6ioaIQPUbSICQCLFi06duzYmB/+8uVLY2Nje3t7aVtDDyExIQjixIkTy5cv7+/vp7qX0WGz2YsXL7a3t6fRaFT3oqAwYsqG3t7enTt3fv7ZZw/v3hphvsSIqVAIgkhOTjYwMLh69erI731WwIjp4uKyefPmMT+cIIj8/PylS5daW1vn5+eLsDGEpFN7e/uaNWtOnToli+Mac3JyjI2Njx8/LnP5WD5gxJQBAoHg9u3bEydO3L/r5156I0ZM9K62tjYrK6vNmze3tbWN/FEKGDHPnj1rbm4+zo1UV1cvX77cyMjoyZMnIukKIamVk5NjYmKSmJgoi5ebeTxeUFDQnDlzHj16JIXrXso9jJjSjiTJly9f/vDDD7YLrT85SxFGTMUkEAicnZ3nzp1bUlIyqjGCChgxw8LCNDQ0xj/9UHd39+bNm9XU1EJDQ7lcrkh6Q0jakCT5+PFjKyur6upqqnsZIw6Hc+LECQMDg87OTqp7UTgYMaVdW1ubhYWFuqrKi6Qno8qXGDEVBJ/Pv3fvnrq6elJS0mgfq4ARMy8vb/r06ZWVlePfFIPB8PDwUFFR8fHxwQXrkFzq7+93cnLasWOHTE8K29nZuXr16iVLlnR1dVHdi2LBiCnVOBzOIXf3b77+6v7vfn1tzRgx0btevHiho6Nz48aNMTxWASMmg8H47rvvRPUrMxiMCxcuTJ8+/eLFi729vSLZJkLSo6Ojw9jY+NatW1Q3Ml5FRUXa2trHjx//yIK6SOQwYko1Pz+/iRMm/OJ+oGcEs2BixFRANTU1dnZ2Tk5OYxvMroAREwCmTZsWEhIiqq319/cHBwerqqru3btXtmZ1QeiTnj9/PmvWrMzMTKobEYHIyEhtbW0clClJGDGllFAoTE5OVlVVNTU27GysHUO+xIgp93p7e/fu3WttbV1WVja2kfiKGTGNjIwuX74swg0KBIKYmBhNTc1Vq1bV1dWJcMsIUcvT03PhwoUysW7kJ7FYrBMnThgaGhYWFsrirUuyCCOmNCJJsrq62tLSUl1NpTQ3c2z5EiOm3Lt69aqWllZaWtqYt6CYEXPlypUHDhwQ+Wbz8/Pnz59vbGxcUVGBp0mQHOByuWZmZqdPn6a6EZGh0WgbNmxYu3Ztd3c31b0oBIyY0ojL5bq6uk75/vvwoHv97S0YMdG7Xr16pa6u7ufnx+fzx7wRxYyYP//8s4ODw3hetw8pLCxcs2aNsbFxSkrKyGcnRUg6lZSUTJkyJTk5mepGRCkvL8/AwODs2bNUN6IQMGJKo4cPH37+2WeH9u3uGOslcoyY8q2pqcnW1tbFxWWc8wkrZsQ8f/68vb29mE5jNDY2rl+/Xl9fPzY2VhwpFiGJ8fPz09HR6evro7oREQsNDVVWVo6MjKS6EfmHEVO6kCSZkZGhpKS0wMqSXlsxnnyJEVNedXd3u7m5aWtrj2qW9fdSzIgZERFhbm5eW1srjo2TJEmn093d3VVUVB4+fIjnMpGMIghixYoVTk5OVDciejwez9PTc/bs2ZmZmTgoU6wwYkqX2tpaMzMz1ZnKJdkvx5kvMWLKJS6Xe+3aNV1d3ZSUlFHNsv5eihkxCwsL9fT0cnJyxPcUTCbzwoULSkpK/v7+OOoLyaKysjJtbe2IiAiqGxGLzs7OZcuWrVu3rrGxEVOm+GDElCJDZ6cmffHFqBYix4ipUJ4+faqvr3/lyhWRzPWtmBGzvLzc0NBQ3CPMOBzOnTt3VFRU3N3d6XS6WJ8LIZELDAzU1NSk0WhUNyIWQqGwoKDAysrqwIEDsrj2uqzAiCktCIJ4+PDhxIkTD+3d3dVchxETvau3t3f+/Plbt24V1RoVihkx6+rqLCwswsLCxP1EfD4/JCTEwMBgy5Yt7e3t4n46hESFy+UePHhw8eLF4xztLc0EAkFERISGhoYIZ8lFw2DElBbV1dXffP31SvulNcX5g510jJhoGA6Hs2fPnrlz59bX14tqm4oZMWk0mq2trb+/vwQukAkEguTkZBMTE1tb2/7+/vGPbUBIAhoaGmxtba9duybft6xxudxLly5pamriTJlighFTKjQ2NqqrqxvONsjPeCaScIkRU86wWKzTp0+rqakVFRWJcLOKGTG7u7sdHBxOnDjB5XIl84xlZWVLliyZO3duVlYWXpVD0i8tLW3WrFkK8tmxevXqpUuXNjY2Ut2IHMKISb2uri4nJ6cJEz6PfBAgwnyJEVNuCASCuLg4AwOD69evi/YOZcWMmIODg+7u7m5ubpKcjaWpqWnt2rXGxsbx8fGYMpE0EwgEfn5+CxYsUJClqsrKyszNzQ8fPix/0zNRDiMmxQQCwe+//z5hwoQjB/cNdNAwYqJ3tbe3z58/38XFpbOzU7RbVsyISRDE1atXV65cKcnxkSRJ1tfXu7i46Ovr379/X2LPi9Bo9fX1rVq16tChQxI7zU8tPp8fHBysp6cXFhaG63KJFkZMKpEk+ezZs8mTJ2/9aWNzdZlo8yVGTPnA4/E2bNhgZ2fX0NAg8tFCihkxASAwMNDa2lrCl8ZIkmQymV5eXlOnTvX19eVwOJJ8doRGiEajqaur37t3T9JPTJJA8EHAAT4LuP3A6QM2A9g9wOoGVtffit0DbAZweoHbD3wWCLggHFc05HK5Xl5eysrKZWVlovptEGDEpFZbW5u+vr7RbIOcF2kiz5cYMeUAn8/39fXV0tLKzs4Wx/YVNmLGxsaamZlVVlZS8uy3b9+eOXPm4cOHRX5aGqHxi4yM1NPTq6iokMSTCbjApEFHGTRlQE08FNyC9N8g5RDEukD4OgheBkF2cN8abpv9VXctIcgWHi6FiPUQ6wqpRyHzAhQHQl0qtGRDZwUMdIBw1AOKent7f/rppyVLlox/SQv0BkZMynA4nIMHD3791ZcP7/4u8kvkGDHlw7NnzzQ1NW/evCmm7StsxExPT589e3ZhYSElz06SZEBAgIGBwc6dO1taWijpAaEPcXR0XLlyJZvNFtcTkEJgdUPzKygKgBenIOkAxO+GuJ/hyU54dgJyfKE4CKpjoSkDWguhswJ66qC/9a/qbYLOSmgrhuZMqImHkgeQdQ1Sj0DcDohzg/hdkLgfXpyCovtAywHe4Mj7qq6unj179oEDB3p7e8X1uysYjJiU8fHxmfD558c83LtFNAsmRkw5U1VVtXDhQicnJ/ENQlfYiFlSUmJkZJSamkrVTCUcDicmJsbMzAzPmiBpo6end/HiRbFsuq8ZSoMhYQ9EOUKKB2R5/5kmX0JnBfS1/C1KjqqYdGA0QGshNL6A8gjIugpPj0GMM4SuhKe/QlM6CEY0LiU2NlZDQyM0NBSXfhUJjJgUEAqFKSkpqqqq88zNuprElS8xYsq03t7ePXv2WFhYlJaWii8GKWzEbG5utrGxuX37NoWT4QkEgpycHHNz88WLF1dWVuJ9BkgapKenT5s2TWSTo5EkCLjAZkB1LERvg3tWELMdCu5AawF0VUFvIzDpY4+VH4mbfS3QUwcdZdDwHLK8IXw93LWAjHPQVQXcfhAK4AN/+Gw2+8yZMwYGBrm5uThT5vhhxJQ0kiRra2utra011FQrC7LFly8xYso0X19fDQ2NhIQEsT6LwkbMgYGB9evXHz16lPJPke7ubhsbGxMTk4SEBJzMCFHu2LFjRkZGotkWqxsaX0DmRQheDlGOUBYKXdWiD5QjrNZCeHEagpdDjDMU3IaOUuC/fyRAa2vr5s2bbW1tOzo6RPM6KDCMmJLG5XJdXV2nTZ0a+TCgv70FIyZ616tXr2bNmuXr6yvG4VAAoMAREwB27tzp4OBAecQkSbKurs7JycnExAQXskPUYjKZdnZ2x44dG++GBlqhNBhSDsOTn+HFb1CXOq6L4CI8u9ldC5VRkHwY4ndB+m/Q8Oy9QbO4uNjIyMjT0xOnfRgnjJiSdvPmzS8nTTrxi0dn02ux5kuMmDKqtrbWxsbG1dV1YGBAAs+lsBHzxIkTNjY2UrKiY1tb2969e1VVVYOCgqjuBSmu7OxsVVXVtLS0sW+C1QNZ3vB4C6QegdJgaCuSinA5rHqboDEd8m5Cwj6Ic4PGF+/+HvHx8dOnT8e/x3HCiCk5JEnm5+dPnz599fJlXeLPlxgxZVFvb++uXbssLS0lMyu4IkfMmzdvamtrS0nEBICBgYFLly59//33Xl5efX19lJ9eRYqGJMlbt24ZGhqOZS4tIQGcPqiIgIdLIfUoNGdCz2uxjLMUYfW1QFcV1MTD482QsBda84HPfjNGUyAQnDp1ysjIKCsrS3reJWQORkzJqaurs7S0NNDTpddWSiBfYsSUOVwu18/PT19fPy0tTTJvaoocMWNjY7/77jupuhAmFAovX76soaFx8OBBnMwISVhfX5+Tk5OzszOLxRrdIwc7oDwcIjdBrAvQ86jPjmM4qVkaAuE/wrMT0F4MxB9DohkMxqZNm5YsWVJXV4f/5BsbjJgS0tXV5ezsrDR1SkJUhGTyJUZMmZOcnKynp3flypVRv8WPlSJHzJycnClTpkjbKsxsNjsoKEhbW9vBwYFGo1HdDlIglZWVVlZW9+/fH8XkBgIu1KdBwm6IdYWyMGA0UJ8Xx1xtRfDyPMS6QM51YP7xp1dcXGxhYXHo0CE+ny+u112uYcSUBIIgAgICvv7qq7Mnf2XQGjBiond1d3dbWlo6Ojp2d3dL7EkVOWI2NTWpqKg8ffqU6kaGY7PZKSkp+vr6a9asqaqqorodpCiePn1qamqam5s70gcMdsLLsxCxAQpuQ3uJtF8WH0kxaVCXCqlHIdYFmjKAFPL5/NDQUFVV1ejoaHG+9nILI6YklJWVTZo0aetPG2m1FRLLlxgxZQiHw9m+fbupqamET1wpcsQkCEJPT+/27dtUN/IeBEHU1NQYGBgsWLAgNzcXp8xE4sblck+dOrVq1So6nf7pnyb4QM+D4OUQvwuaX0njDT1jT5l06KmDsjAIsoNcX+AN8PdImgQAACAASURBVLjcU6dO6erqFhUV4eXy0cKIKXYtLS36+vrzLOaKexZMjJgyis1mX7lyRUNDIysrS8JPrcgREwCWLFly9OhRqrv4IBqNtm7dOlNT0/j4eKp7QXKOwWAsXbr0woULn/7RwU4oCoCHS6E0GPqaqQ+FYqruGojfDQm7oa0QCN7q1asXL17c0NAg9j0hXzBiildPT8/OnTu/nTw5OfaxhPMlRkyZQBBEYmKisbHxtWvXJD/cR8Ej5o4dOzZu3Eh1Fx/T0NDg6uqqoaERExODE7Mj8amurtbW1v7E5WAhAe0lkHwQ4tygMZ36FCjuYtRDrh9EOUJpcFlJsaWl5dGjR8W3nK9cwogpRgRB3Lt3b9KkSRdOn5R8vsSIKRM6OzttbGy2b9/e1dUl+WdX8Ih57ty5uXPnUt3FJ7S2tnp6ek6fPt3f31/cU/EjhfXgwQNjY+OmpqaP/VDzKwj/ETLOQluxPIy8HEn1NkJVDDzezE87ERJ4V19fPzIyEucwGjmMmOJCkuTz58+nTJni4riF/lpCsxRhxJQtXC5327ZtVlZWlZWVlIzyUfCIGR4erqGhIf2nJVgslre398yZM8+ePdvb20t1O0gOOTk5OTo6fjA8CThQ+QiC7aE6TlwLi0ttMWnQWQmxbuzIbScPOKmpquLl8pHDiCkuzc3Nurq68yzmFr1KpyRfYsSUclwu19vbW01N7cWL96wtIRkKHjHz8/OnTZtWWVlJdSOfxuFwAgIChqbMxMmMkGgxmUw1NbXg4OD3f5vTB9nXIGId0LKpD3xUVXctpB3tDVzjYDdn+fLlra2tkt1FsgojplgQBLFr164fvv8uJuwhVfkSI6aUS0tL09TU9PPzo7AHBY+YDAbj22+/lZVfn8fjxcfHGxkZbdy4sby8nOp2kPxITk6eOXPm+1cUY/fAi9MQvxuaXynWycv3pMwaeHm+5rL1HPUfjh49KrHZi2UaRkyx8PX1/eKLidcunu1rbcKIid5VVVW1cOFCJycnJpNJYRsKHjEBQElJKSQkhOouRqGwsNDIyGjhwoUFBQVU94LkxKFDhxYtWvSeb/AGIOkAJO4Dep6i58uh6nkNRfcfO/+gpaYcEhKC87F/EkZMERMKhfHx8TNnztzw4+peeiOF+RIjptRiMBhubm42NjZUDcF8AyOmsbHx5cuXqe5iFEiSrKioWLZsmYGBwfPnz3HKTDROPT09FhYWN27c+NtXSRL66RDtCIkHoLsG8+Vf1dfCyrl7bsXkOXqz8vLycKbMj8OIKUokSVZXV1tZWRka6NeXFVGbLzFiSq2rV69qaWmlpqZS3QhGTFi5cuWBAweo7mLUWlpaduzYMXPmzNjYWLzNHI3Hs2fPNDU1Kyoq/voSSUJvIzzZCSmHgVFPfaqTtuprbn3++xbz7+0XL3r/6AL0J4yYosTlcjdv3qw8Y3pseHB/ewtGTPSuZ8+ezZw508fHRxqmOcSI+fPPP2/evFkWL3i1t7cfOXJk5syZv//+e39/P9XtIFl15cqV+fPn/22mAt4ApB6BxH3QUUZ9npPO6m0senzFUPmLw+4HORwOdXtP2mHEFKWbN29OnDjht+Oe3S31lOdLjJhSqLa21srKysnJSUomysGIef78+WXLlklyXXgR6uvrO3HihIaGxpkzZzBlojFgMpnOzs6HDx/+W07KvASPfgJ6Pl4f/0gJu2tjrh/+4ZtJgffuULb/pB5GTNEgSTIpKemHH37Y+OMaKcmXGDGlTXt7u6Ojo7GxsfRcW8GIGRkZaW5uXltbS3UjY0GS5ODg4J07d1RUVHbv3j04OEh1R0jGlJeXL1q0KDEx8Y8xhQQf8m5CyApoLcR8+ckSdNcfc1qsr6354lkazsf+XhgxRaOurm7u3LkGejr0WmpmWceIKeV4PN7QEMznz59Lz5sRRsyCggI9Pb2cnByqGxmXqKgoXV1dNze3xsZGqntBMkMoFEZERFhZWf0xEFMogKpoCFkBLTmUpzdZqa7XhWsWzF6+ZFHd61q89eddGDFFoKOjY9u2bdOnKSVEhVMeKzFiSqfExEQDAwNvb2+pmk0NI2Z5ebmhoWFycjLVjYxXenq6qanp6tWrCwsL8TZzNBJsNvvIkSNOTk4MBgMAoLMCYrZDWSj0tVAe3WSlyD5a4bMoqzka+3a6yOKQbnHDiDleBEHcvn37y0mTzp48zqA1UB4rMWJKoc7OThMTE0dHx56eHqp7+RuMmK9fv7a0tAwLC6O6kfEiSfLVq1crVqwwMTHJzMykuh0kAxgMxvLly69fvy4UCoE3AKlHIfMiMBooz22yVYKexsBrXtO//yoi9AHVu1TqYMQcr5KSkokTJ2zb/BNVC5FjxJRyLBZr27ZtZmZmdDqd6l6Gw4hJo9FsbW39/f3l4CKXUChsbGzcunWriopKZmYmnlNBH1dcXKyrq/v8+XMQEpB3A5IOQM9ryhObLBa3q97DbaPqzBm5udnSMw5KGmDEHJeamhotLS0rC/PKghzKAyVGTCnU399/+vRpNTW1V69eUd3Le2DE7O7udnBwOHHiBJfLpboX0WAymZ6enlpaWkFBQQMDA1S3g6TXxYsXbW1tmUwmNGVA6GroqqY8q8lusTvrbc317BZY1de9pnrHShGMmGPHYDC2bt369VdfpcZFUZ4mMWJKIYIg4uLidHV1r127Jp2nlDBiDg4Ouru7u7m5Sck0UiJBEMTp06f19PR8fHzwNnP0Ifb29h4eHtDXDDHboSae8pQm65WfEmGuM839wL7eXgbV+1ZaYMQcIx6P5+/v/8UXX1w4fZLyKIkRUzo1NTXNmzfPxcWlq6uL6l7eDyMmQRBXr15duXKl9MwkJRL9/f2XL1+eNWvWsWPHqO4FSaO2tjY1NbXk+FjIvgqvLkNvE+URTdaL390QcvUX7RnfPHgQhJfLh2DEHAuSJFNTUydPnuzqtFUKh2BixJQGbDZ7w4YNVlZWVVVVUjvODyMmAAQGBlpbWzc0NFDdiIhxudzw8HB1dXU3N7fOzk6pPQgRJe7fv6+lpcl/nQaJ+4Ceh7NgiqQ49HKvn1fPnDr5bwtyKjCMmGPR2NioqaExz2Ju0at0ynMkRkwpxOFwLly4oKamJuUvPkZMAIiNjTUzM6usrKS6kbcIuDDQBl2V0JoPjS+gLhlqnkBVFFQ+hsrHUBUNtQnQ8BRaXkFbEfTUAqsLhO+fqCgjI8PIyGjTpk1VVVU4mREaQhDEli1bnDatgic/Q1EA5ksRVk9h1BrTadbz50vh/Z2ShxFz1Hg8nqur6w/ffxcTFkx5iMSIKZ2SkpLU1dX9/PyobuQTMGICQHp6+uzZswsLCynug8uE9mIoC4WX5yDtF0g5BEkHIdkdEvdD0n5I3Pe3StgLiXshcR8ku0PSQUg5BGmekHUVKqOgsxwI3putkiSZlZW1ePHiZcuW5eXlUfj7IelBp9NNTEyiLzhDrCt011Iey+Sq+milQQcNpn1+8ODBv638rpAwYo6ar6/vhAkTvM+f6WttojxEYsSUQtXV1YsWLfr555+ZTCbVvXwCRkwAKCgo0NfXp2yBH5KE10mQegTC1sAjB0jxgOxrUPIAauKgKQPo+dBZAT110Nv416kmJg0Y9dBVBW3FQMuF+qdQFQNFAfDyAiS7Q/g6CFkOGeegvXgoaxIEUVxcvGzZsjlz5sj6OkZIJJ48eaKlqdl8yQTqn1KfyeSvOsojd85SVZ4WFBQknTd6SgxGzFEQCoVPnjyZMWPGElubXnoj5QkSI6YUYjAYrq6u9vb2tbUysJ4YRkwAeP369bx580JDQyW3v4QEsHugtQBenIa7lvDoJ8jxhcb0P9JkX8tYLlwy6dDbBD2vobMCml7Ci1PwwA4eLoHsq9BdLeT0dbS3OTg4zJo1KyoqSm5maEJjQBDEyZMnfzRX7k/9DZg06gOZPBYr9/7Z1dP0dLSzsrKk/4NAfDBijhRJkq9fv7a2ttbVnlVZkE15fMSIKZ18fX1nz579/PlzqhsZEYyYANDd3b1ixYozZ85I4pOAz4aOUigOhMebIXQlvDgNzZni+pzrbYTaBEg+CIGLIGEPlAYTHZVHjx7V09Pz8/OT/lPsSEzodPqqlSuubZjOby2lPIrJbbWXtAZudrDRWbhwYVtbG9X7nDIYMUeKx+M5OTnNmDbtUXBQf3sL5fERI6YUysjI0NTUvHPnjqxcHMGICQB8Pt/R0dHNzU28EZMkgZ4H6b9B9DZI2ANloRKa6ZpJh9ZCyPWDmO0QtbUv9czFo256urqenp4sFkuMvy+SVrk5OfPnqD2/c5TEiYrEV33NkOtfeGOrqaGeh4cHh8OherdTAyPmSN28efOzf/3L48C+ruY6yrMjRkwpVFNTM3/+fFdX1/7+fqp7GSmMmEMOHTq0fPlyMUZMVhe8PA+RGyDzEtSlAKNO0h94TDp0VkJ1HCQd6L+z+P5BuxlK37u7uzMYOEe0YiEIIiDg/mKDKXWZUXgjuXir6aXwya6n4TemTJkSEBBA9Z6nBkbMTyNJMjMzc+rUqcuW2LU31FAeHDFiSqGenp4dO3bMmzevo6OD6l5GASPmEG9vb0NDQ9HPlkySwOqG8nAIXg6pR6G9FHqbqPxcZ9KBUQ+NL/iPnZ8e1tdU+nKzw091dXU4TbTiGOjvd96y8YDLJlYbLhcp7j83GqQeIQrv/3rMU19f//nz5wr4h4YR89Nqa2stLCzUVVVqivMpT40YMaUQl8u9fv367Nmznz17JltvIhgxh4SFhSkpKYl43wm4QM+FJz9DtCPUp0nXfRVMGlkZlX92gZXml2tWLispKRHlL46kWGd7m5XOlFD/s9QfhIpQr5MhbG0XrX7t2rX29vZ1dXWKdusPRsxP6Orq2r59+zSlqeFB9yiPjBgxpVNqaqqRkdHt27fZbDbVvYwORswhz58//+6773p6ekS2RVYX5N+Ex1ug4DZ011D/UfduMenCtpL8h8eXzJlqu3B+YX6uyH53JMVeJEQYaKmUZOCK5BIpRgOErYGGp0VFRRYWFnv37pWVYfqighHzYwiCuHPnztdffXXO6ziD1kB5ZMSIKYU6OzvnzZvn5uYmQ0Mw38CIOaSqqmrGjBm5uSKKWf2tkLAHUg5DfZqUD3cT9tRVv4xebak512ROelqiaH59JMXcN85fa2/D6ayn/NhTlCoOgmgnPp8fFRWlpqYWHh5O9SEgURgxP6aiomLihAnbHDa1vq6iPC9ixJRCLBbLxcXF3NxcRqelwIg5pK+vT0tLKyQkZLwbIvjQXgIBNpB1DbpfS3m+HCqSSe9rKtu1yU5fXSk6LJDLVdBbXxUB0Ucz1vje+8yvlB91ClR9zRBkB12VAoHg6tWr6urqOTk5sjWeajwwYn5QQ0ODrq7uHH29vPSnlIdFjJhSiMViXbhwQUtL69WrV1T3MkYYMd+wsLA4c+bMuDbBG4DycHhoDzVx1H+wjbL6mstPe+xSV/r66oVTrEHZOx+PRqL40UXlKd+UZqVRfrwpVmWchVdXhnbBxo0bbW1t6+rqqD0SJAYj5vsxGAw3N7cvJ016HBxEeVLEiCmFCIJITEw0MzO7ceOG7A6vwYj5hoODg4uLy9gfz2VCznWI2gpVMdR/pI2p+loqb1zyUp3y5dmTnoyudtG9tEg68Fln3OznztEhelsoP9gUq2riIdoJ2AwAKCkpMTMzc3d3V5DlyzFivgdBEPfu3Zs4ceKFUycHOmifSHKdNHb1U17qKX7EFkGgPXHXmrhtSdwyJ27N/bPMiduWxD0bwcPV/Meu3OeX2I2FGDFlXWdn58KFC/fv3z+imQV5g0DLhaL7kP4bJO6DRz9B6GoIWAgB1hBgDQ/sIGIdxLpCmicU3oXaRGC2ACmJKykYMd84duyYra3tGB9MkvDiFERsgPo06JPhz292R11U0O8zv590cLdLR2uLSF9gRDEOrXi5xSz33a6UH2YKV21FELcDaDkAwOfzQ0JCtLW1Hzx4oAiXyzFiDkeS5NOnT7/77rstmzbQaireDZQsejW7oYBdGst/5Ej46ggvTxNenk5cVRfcthQEr+XH7OKlnORm3uAUhHIKwjgFYdyXvry03/iPtwsClgj8jQhvFeHlacIrM4jfzXiJHuzadFZTCau9kdVJx4gpKwYGBlavXj1//vyamprhk1CQJBA8YDOgnw7VsZDsDg+XwO9GELISUjwgxwdKHkBtAjSmQ1sRtJdCeynQ86H+KVRGQe4NSPOE6G1wxxzuzIW4n6HoPnRVArsHBGJZVBoj5hv+/v46OjpjedPnsyH7KoSthbYi6ZqZaExF9LakPwkx1p6xbuWS1zVVYnilETWKnvyuM/Xz3Od4L7nEq+c1pHlCcRCQJADw+fwzZ84oKyuXl5dTfVCIHUbM4Wg0mp6enqmR4fAhmJ00dlUq9+V1QciPwmvqxI3ZgrsL+Y9duOnenLJ4TkXyKKoklvf8Aj90A3HLnLimQdw04SX9wskLZNfnYsSUfoODg8eOHVNWVn769Onw73H6oDkT8m5A4j4I/xGinSDvJjQ8g566Ud/50VYMxUGQuB+Cl0PCHsjzh/o06G0Q7dlNjJhvxMbGqqqqdnZ2ju5hnD7I9YWwNdBZQf0nmYiKZNILUiPs5movsDAuK8UpM+UByefcPbvPUGNKd2MZ5QeYwhWTDgV3IPMS8P+Y1a67u3vLli0LFy5saZHzawUYMf+Gx+Pt2rVLacqU2IiQvy6Rt9VxCoL5cXuJ382I25b8iK28lBOckujRxcr3VnkiN+t33pODgtANhL+h4J4NL/EIp+wJq6MZI6Z04vP5oaGhysrKfn5+f32VFAKzBUoeQNpRSNwHz09CeQR0VojmhuKeWqhNgMxLkHQQEvfDq0vQmi+qk5oYMd8oLS1VUlIa3STkfBYU3IIYZ2h6Sf3HmKirIiNm0yIDy7mmz589EwgEYnvhkSQMtFbvXGO+ZcPqgbbXlB9ailh1KfD0V2D+FShbWlqMjY1HOtRKZmHE/Jvr169PmDDhyrnf+ttbhs5cckpjBIFLCB8tQfBq3vOLnLyHnPJEEYTLYVX2hJt9h5d0THDPhriuxQ9Zx27Iw4gphUpKSoyNjXft2vXXLJi8Qci9ARHr4dlxKAuH1gJgimE0HpMGXVVQlwJZV+HxZojfDR2l4z+jiRHzDTabPXny5OTk5FE8piYOHv0EDc/k4Pr4e6ulMMV1kZqBnnZsTIzs3tOGAKAuP3WB5oTfr10QMGR4rLAMV2c5JOyBtqK3d0pCQoKGhsb9+/fl+I8LI+YfCIKIi4ubMWPGUrtFvfRGVlsdp+qpIHCp8IoyP2IrJ/8hpzRO9Mly+EnNJE5JDDfnnuDuAqG3Cj9uL/v1K1ZHE0ZMKdHe3r5q1aqlS5e+fv2aFAphsANKQ+ChPaR5QlsRMBokMQ9iXzN0VEDhXQheBi9OAaN+PGc0MWK+TUVF5f79+yP96b4mCLSB6hh5zZfQ30oy6T1FscfXaMycOjkoKIjLFcuAYCRuJEkmx4TrKH/zMimKlIW5WuWwmHRI2AvVcfDW2H0ul+vt7a2rq/vq1St5XVgSIyYAAEmStbW11tbWetqzKvKz2NXPeDG7CB8twX1bbt4DsSfL92VN7svrgrvWxPVZ3KdnWE1FGDEpx+Pxfv311xkzZiQmJgJvAGrj4cnPEOsC9U+pCRmMenh1GSLWQ64f9DbAmN6hMGK+bRRTYzJbIGwNFAdR/9El9o9GWl924IV1KtO/+8LHx0e+L+rJKx5n8LyH62Kb+U3ludQfUQpbmRch/TcQ/m3MCZ1Od3BwsLW1bW+Xz2nCMGICAPD5fEdHxxnTpj0KDmS9uErcsSTuWvOenuGUPqEgX76pkhhe0jHC30jwcBWn+BGrowUjJoWioqKmTJly6dIlFq0E0k9D3A4oDYEeSgc2MWnQ9BLSfoEnP0N96hh+KYyYb1u7du2ePXs+/XNcJjz1hNSjcnz+8m/FaGCnnb7jqKKlqX748GG5v0FB/vT1dC4zUzu0xxXXjaSyysMgxhkI3rC9U1ZWZmJicuTIEbm8SoAREwDA399/0hdf/ObuwgzdJryqxks5ySkI5ZQnUZkv/yxuzn1+pJPwmgYv7TSrrR4jJiUKCgqMjIxctjv1FUZCtBNkX4O2ImlZHrC7Fqrj4PFWyLwwNLvvyGHEfNu+ffs2btzI4Xx0BUUhARWR8OgnaMmmftdL7hir5kVuDT9iN2fO7PXr14/6vntEqbZW+szvJz3wv4RXyaksWjYELHxzU/nbUlJSpk+f/vDhQ8kfG+Km6BGTJMmMjIypU6dss9Fi+c8V3FvIzQmQknD5R5UnccrieU/PEb46ggcrWc2lI59BEyPm+JEk2dLSsm7dOguT2W3xXhD+IzQ8hb5macmXQ8WkQ3sppB6BWBfoKBv5bUAYMd/m4+NjZ2f3ieXmu6vh8WYoDVGUU5h/FtlRRty3yQ49t8Da2tzcvK6ujiAISe0ZNC7h4WE6Wmqlr1IoP4oUunqb4OYc4DLf3UEEQXh5eRkbG2dmZsrZfOyKHjFramosLCx0Jv9f5gVVQdhGTkEY9ZnyQ6czs+8Sty0FN+ZwyuJGOKsRRszxY7FYv/zyi5bSpGen7IQxrtBWQv1b1Yeq5zW8ugwhK6HhGRAjukURI+bbEhISTExMKisrP/ZDSfshxQMYDdTvbgkXkwb5v0O0U23+07Vr15qYmDx//lwuL+3Jn/Wrl21cZs3taqT+KFLwCl0Frfnv3Uc9PT2Ojo4rV65saGiQp1t/FDpidnV1OTs7T/n8v6Id/smLO8ApiaE8R36iCsMFAUsIPwNObsBI7jTHiDl+ERERKlO+9F4/g514BLqqqH+T+nj1NUPJAwhdBSUP3ntFZhiMmG8rKirS19fPysr64E+0FkDgImgtoH5HU1KdFZC4D4oDaE0Na9eunTNnTlRUFI83fGwZkioDAwOaM5UCjv9E/fGDlbgPKiI/tKeKi4vnzZu3f/9+eZqGVnEjJkEQd+7c+XrCPy4sndAf6yGW2S5FXuVJnKJIfuhG4po6pzgSI6a41dXV6czS3GrxQ1fSWeiqlq6L4x8qJh2qYyFiPZQ8eHdo+TAYMd9WUVFhbGyckJDw/m8LuBD+I5SFycZhIKZDq/IxRG8jmfT6+noXFxd1dXW5HEAmT5KTk5W+nVQfdYL64wfr5QXIuvqhPcXn86Ojo9XU1KKioiR5hIiV4kbM8vKyCf/6h6vFl51xJ2UjX76p0if8SEfhpamc4kcfP5eJEXM82tvbly+zN1P7qj3Vm+xtkqVgwaRBXQqErobiwI/PmokR82319fVWVlbvz0wkCcWBEOUIfYo9c3VvEyQdhKwrJEkymcwTJ05MnTrVz89vcHBQ4rsLjcjBgwcX6E0RFgVQf/BgFQdAsvtHdpZAIDh16pSqqmp2drZ8DMpU0IhZX1erp61lqTaxKsST+sg4puJHbiOuqnFyAz4yLhMj5pgxmX1HPQ6rT/0yM/Ak9W9MY6uhlFny4CPjMjFivq21tdXe3t7Hx+c9b+4DbRC9DWqeUL9bKS96PgTZQl/T0Avj7++vrq7+yy+/dHR0SHqHoU/p6+ubP3/+ufUaUBNP/ZGDVRUDj7d8cq+tXbvW3t6+sbFRAkeIuClixOzu7nbd7vTNZ/9fyo3DlCfFsVfZE37YRsLPgFMW+6F7zDFijg2fzw8Jfqil/IPfcTd+tyzf2FGfBsHLoDrmQ78pRsy3MRgMR0dHT09PNvvvw1hJIZRHQMJe6Kygfp9KQ6WfhZTDQ6/N0IgjAwODXbt2yev00bLr6dOnKioqub9oQ/Mr6g8brOZMeGj/yb1WVla2cOHCw4cP9/b2SuAgESuFi5g8Hu+Gn++Ez/556dBWGbs+/m4VPRI8XCm4NZfVXIoRU4QaG+qNdNR2bl7ZVVck8zPJVUbB480fuo0RI+bbWCzW0aNHnZ2dh69hw+qCZHcovKdoExV9sNqKIcgWOiuGXh42mx0bGzt37ty1a9f29PRQsOfQB/j4+BgYGHRe1IG2YuoPG6y2QghY8Mm9xufzw8PDdXV1w8LCZP1yuWJFTJIkkxLivvniX9uWW7ZmSu/8RKNLmXes+JFb3jsrO0bMMRjoZ66zX7DQwqihOF3m82V/K/S1QMFtSNwLfc3vLjKJEfNtJEn6+/svXbq0tbX1b9+g5cCjzTIwn4AkD6o0T3h2HIR/TI1JEER1dfX8+fMXLlxYXFwsT7fEyq7Ozs4NGza4urqyrmpDdw31hw1WVzXcMh7JvhMIBGfOnJkxY8Yn5lCTeooVMZubm1WmTjbTUS547Et9OhRRcbPvEn56vKdnWJ00jJjjNDg46OV5SGvm1GfRgdS/H4mqel7DsxPwwuvdG8wxYg4THBxsZWVVX1//t6+meECWN/X7UXqKSYfaBHjsAD2v336d6HT6ihUrLC0t09LS+PwRzcyKxKe4uHjOnDkPHz4kfDSoP2awhspPe4S7j8Fg/PTTTwsWLJDpJVsVKGJyOBw3V5fJkz4Pu+rJKpPxS+TDUubzC8R1bU5JNEbMcYqNfqQ67fs7V08L++TrkmhHOcRsh/q0Yb8vRsxh4uPjTU1NKyoq/voSuwdumwEth/qdKFXVUQ5xO6A8/O2lpEiSbGxsdHJysrCwiIz84Px/SAKEQmFERIS2tnZ2djb4alF/wGAN1YgjJgBUV1cbGBjs379fdgdlKlDEvHTh3L/+9x9Xj2zrLYyjPBSKuMri+Y+cBcFrWE3FGDHHrLy0eJ7ZnL3OG5i0aurfiUReza8gdDX0/+0SMEbMYTIzM/X19QsKCv76Unk4JOzBUZjDi0mDLG94dhy4/W+/gEKhsK2t7cCBA2pqag8ePJD0/kN/YrPZhw8fXrp0aXNzM0ZMKarRREwAiI+PnzVrVmBgoIxeFlCIiCkQCCIiwqf+8N1SY+X+knjqpte1mgAAIABJREFUE6HIqzyJk3OfuGnMfXb+7TmMMGKOXGdn5xaHjcss9eryUuVhCOa7xaRDjg8kHXx7pkyMmMNUVlaamprGxcX9sYabUAChK6E6jvrdJ4VV/xQiNwGj4d2XkcvlXrt2TUlJycvLi8FgyNOCeLKip6fH1NT09OnTQqEQfLVkaVpf+a5RRsyhP6VZs2a9fPlSFv+O5D9ikiRZVlY2Z/ZsM9VJNYm/Ux8HxVa8JE/CT4/9OhMj5hic8jppqPL1q8c3SDm7RP52dZTBk51Qm/jm4iZGzGFaW1sXL17s4+Pzx7t5Ty0E2kBvE/X7TgqrtxEeb4GauPe+kgKB4NatWwYGBh4eHjiZkeSVlpYqKyunpqYCAPw+B3rqqD9gsBgNcHPOaHdlW1vb5s2bra2tZXHqWfmPmHw+/8cff1Sb9H+SL25llcjdJfK3q/ix4O4CfuxujJijlZCQoDbt29ATG4hOub7vsq8FioPg6TEY7Bz6xTFiDsPhcDZt2nTw4ME/ImZZCCQdwDNAH6w8f0g59JEXMzo62tTU1NnZefhN+kjMrl69Onfu3D/C/f350I6TFklBtRXDfesx7M2SkhITE5PDhw+zWCwRHyhiJv8R89KlS5//v/88t2EWM/Mu9SlQzMVL9xZ6K7MbCzFijlxZWZmpqamH3Xec6lTq34PEXR3lEOsC9alDExhhxHzX7t27169f/0fETHaHwrsYMT9YzZkf/8jk8XgZGRmGhobr1q0bfp8+EqeFCxfu2LGDIAgAgEBbvF9NKqo5Cx4sGdsOffHixYwZMwICAkR5lIifPEdMoVCYlJT07eTJa3X/hxn5M6c8ifIIKPYqTxTcs+GH/zQ0IhMj5seRJNnW1rZly5Z5ml91PHZXiFs6mHQoDYH4XcBjAUbM9zlz5oylpSVJktDfCnFu0PAMI+aHDycaBC8Det5HXk+hUNjc3GxtbW1jY5OTk/NH6EHi1NzcrKSkFBER8cf/R26E2kTqjxas2oSRLCD5XkKh0NfXV1dXNzU1VYb+iOQ5YlZUVBgbGxtM+Z+OCzqckmjq859kKu8B4aPFKYvDiPlJHA7n3LlzRtozXx3VFbYWUv8GJJnqa4KIDdCUDhgx3+fevXuqqqokSUJLFjzZCfR86neZNNfTX6Hg1idf1ebm5g0bNlhYWMTFvX/sJhKhe/fuqaio/DUENnE/FAVQf6hgFd6H1CNj3q1dXV3r16+3s7OrqamRlVt/5DZitre3Ozg4TFeamuL6DS9mJ/XJT2JVEiu4Z8NLOMTqpGHE/LjY2NjZs2ff2beIm3IMGLK8FvloqzwC4lwBI+b7JCQkfPvttwMDA1D5GFJ/wWVRPn0sxbqM5IVtbGzcu3fvrFmzgoODebzhqwAgEdqyZYu9/VtrYb+6DC/PU3+oYKX/Bnn+49mzRUVFJiYmbm5usnIiUz4jJkEQvr6+n3322WmXJeyz33OKH1Of/CRW5Um85OOCezbs+hyMmB9Bp9PnzJmzbdNqxqOdUB6uWBdDGQ0QshJ6XmPEfFdhYeHUqVOrqqqg8C68OAV9zdTvL2mu9tKRLLs8pLu7+/Tp01OnTvXz82Oz2WLdjwqLRqOZmJj4+78VZYbuWqP8UMF68vOHZmAYIT6fHxwcPG3atKioqPEeKBIhnxGzsLDwn//83y0b13X8vkwQYEd97JNscbPvEf5G3OxbF06fwIj5XgMDA1u3brW2tu7MjyIT9oLiXCV/U1lXIf1MbU01RsxhOjo61NTU4h6HQ8Y5yPFVrH97jKEY9RC8DHobR/jycjgcf39/FRWVEydO9PT0iHVXKqbw8PDp06fTaLS/vtSaD+E/4pFMcTHpELgIuqvHuX8FAoG3t7eamlpWVpZQKPz0AyglhxGzpqZGV1d3rolxecpD4ndTbsZ1yjOfpKs8kR+xlR/pePH4YYyY7xoYGDh79qyurm5JYR7k3YDnXgpxo8+was6EyI21hekYMd9laGjoc+44pP0CpaHU7ykpr95GiN0OTRkjf3l5PF5ERISenp67u3tnZ6f49qMC4vP5x48fX7Bgwd+WHBxog4dLobuW+qNFkaurGm6bAV80J+83bdpka2tbXT3ewCpu8hYxOzs7HR0dJ33xRcLjcO6rG4SfHic3kPrMJ/HiJf5C+OpePLIDI+YwBEHExMTo6Oj4+Pjw+zshcR9URFL/7iP56iiHpAO1yTcxYr5rxYoVB7evg8R98DqZ+j0l5dXXDGmeUB7x6Zf1LXw+Py0tzdTU1MXFpaqqSkz7UQHRaLTly5d7eXlxuX8t4gWsbohxhqZ06o8WRa76NAhdBQKOSHZ0eXm5paXlvn37GAyGSDYoJnIVMXk8np+f3+eff+59/uxAewsv+bggdAOnJIbywEdB5YcQfnqX3LdgxBymubl57ty5Li4uXV1d0E+HsLXQWUn9u4/kq68ZXl2uDT6gqaGBEXOYvXv3rrHWh7gd0PSS+j0l5dXXDBlnRnJT+buKioqMjIxsbW1LS0tFvhMVU05Ojo6OTmxs7N/uOOb2w7PjCvpvaempkgcQvwsI0dzoNjQoU11d/eHDh9J8uVx+IiZJkomJiRMnTty2+SdabQW7sVAQsJgXf0ghpsN8t8qTiDtWl7fOxoj5NhaLtWzZsqVLlzY3N5MkCVUxEOOsoEOUmHQoDa69s1VT+QeMmMP4+PjMnvoP4vFW6Cinfk9JeTFpkOcPL06P4XUmSbK2tnbNmjX6+vq5ubmycpOs1BIKheHh4fPmzRt+YpjgQ8kDeHVZQd/rpKGYdHh2HLKvgVBkBzmbzT516tS0adPKy8tFtU2Rk5+I2draqq+vP9fEOP/lc1ZXK7siSXhNg/f0LPVpj6LiR267suILjJhvcLnc69eva2hoFBQU/PGlpIOQ9zv17z5UVeOL2tubNb//F0bMYWJjY1Un/Z+OwE04fO3TxaRB0X146jnmV7upqcnNzU1TUzMhIYHDEc1lRMU0dBejm5tbf3//8O/Vp0Gap2JNzSZV1VMHUY5Q98eyaqLCZDIdHR0XL15Mp9NFuFkRkpOIyeFwdu7c+cN330aFPBjooLG6WjmlMYSfATdb/heN/FBxn1/yXvYZRsw3kpKStLW1r1+//teXHtpD4wvq332oqs6K2jtbNL/+vxgxhyktLVX67N9Lrq+H3ibqd5OUF5MOZaGQuH88L3h7e/vx48e1tLTu3LkzODgoqv2oaLq6ugwNDf82XdEbrYWQ5gltRdQfMIpZ9DyIcYa2YpHv9Pr6en19fQ8PDyaTKfKNj5+cRMzr169P+PzzW9ev9rU2s7paWZ10btbvgns2nNJYyqMeZVUS641nMf9UW1u7aNGiXbt29fX1/fEl3iDcMgJGPfXvPlRVX0ttgKvml/+BEXMYDofzzf/8W/LZdXhhcURVEQnxu8b5mjOZzHPnzqmoqFy+fJnFYolkPyqajIwMTU3NzMzM93xvsAOencBlJCmryihI2A19zeLY7+Hh4aqqqiEhIVI41ETmIyZBELGxsdOnT1+zcnl/ewurq5XV1crqaBaEbRQEr1HQgZh/1pU132HEBICenh4nJyd7e/u6urq/RsHTciBsrYJniNrI45qT/x9GzHepfD/x3i/rKN9BslGiiJgkSXI4nIcPH6qrq+/atUvK75OVTh4eHgsXLvzbdEVvkCRkXoKiAEWcoI3y6muBzEuQcRYIvjj2++Dg4IkTJ/T09LKzs6VtYUnZjpgkSVZXV1tZWc0x0K/Iz/4jX3a1stobCT99/uPtlIc8iiPmRg2MmADg7e2toaERHx//t68W3YfUI9S/+1BatYm+mlMmYMR8l4Wx/pk9OFv1yEoUEfONhIQEAwODbdu2NTQ0iGqbioDL5VpaWnp5eX3wJ6piIP2MQl+3oaq6qiHZHcrDxLf3aTSag4PDsmXLurq6xPcsYyDbEVPw/7d33nFRXOv/J+bm3m9+yc2NJeZaSGIsJICCBYgaldh7IkaxAwoqiYLKqrErVvQqqKAGaxRUitIEliYWinRYOov0ZVlAWMBl68zn9wfGGHrZ3Vlg3q/nD8vszOyes2ffM/Oc50ilpqam34wa9cjT7a9bmBWlgrJ84ryGmLmfcsmjWDHNJ9OK+eTJEw0NDScnp8YzCZ6fQuwl6kcfSoMd7qIzcgitmE1Zabxsh/lyVBdQ3kaqHjUcpLoheJccP/wnT57Mnj17xYoVLBZLlQuyqBQpKSkjRox4/Phxi1tUF8B3I3hp1PeZ3hYlcfA2Q5n8EzHfJT09ffLkySdPdqa2g+Lo3op59+7dAf37H9m/51Vx3l9+WVEq4OYT9l+Lw+0olzxqw+GX2b1cMQsKChYsWGBqatrMFMugnUhxpX70oTTYEQ90NL6kFbMpNjY2JsvmC0vpokVtRU0Jkv7AE1s5fvgEQcTGxi5evNjQ0PCv+g80reLs7Dx+/Pi6uroWtyBkCLBGjj/1faa3RaYPfDfJq+h6KwQGBo4cOdLDQ4G3SztKd1VMgiBeREePGDFitfHyykZ+WVEq4OYR9l+LXtygXPKoDfsdxr1ZMV+9erV169Y5c+Y0/+zAy4xeu4UdG6yjOZJWzKY4OTktmjGRm0YviNJW8IsR44gXF+T7+RMEUVhYaG5uPmrUqJiYGLFYPgWreyoSiWTNmjXW1tZtbJcXhqCddPqHsoO5XaFPyd9CEMThw4cnTpwYERGhIrf/u6tiZmZm/mBoOMlAvzQ3q7FfNiimw0hhohvlkkexYu4y7bWKKRKJLl68OGnSpGfPnjX/ZXM3RmEE9aMPpcFOCNfR0qAVsylMJnPKOI2M5z6Ut5GqB78Iz+2QeEMRrVBZWWltba2np+fu7k4XM2qF1NTUCRMmMJnMNrYTv4brYnpBAaVGZQ5uz0YdVykdAeXl5WvWrFm5cmVhYaEqTP3plopZUVGxefPm4V9/Hejt2YxfNijmBU1hehDlkkdtnNv3a69VzPDw8PHjx1+8eLG+vr75LVzmgZtC/QBEabCTI3W0NWnFbEpSYqL+N4Oj/W5R3kaqHvxCPD6IjIcKagg+n3/gwAE9PT17e3vaMlvCw8NDT0+Px+O1venzU4i7Qn236T2ReFO+mcptkpycPHPmzF27dqlCDaPup5gEQVy+fHngwIHHDu5vnIL5rmJe1KLc8CiPXquYHA7H0NBw8+bNrZU+uTMXZSzqByBKg1bMlshIY32vPZR515HyNlL1qC6AnyWKmqvFKA9Ikqyurj5//ry2tvbBgwcVdJRujVAo3Lt37/Lly9tVfLsiEw/X4dVL6ntOb4jqQtxbglKl5hNLJBI3NzcNDY2QkBBlHrdZup9islisTz/9dON609LczNflnNYUs3cXxey1illbW2tubj5r1qw2SuvRikkrZsvk5ebMmqh998oZOnGtjXj1End/Qq1i16+TSqW+vr5jxozZvn17ZWWliuSZqQgFBQWLFy++ceOGVCpte2tRLcL2I/Ue3bGVEWke8LFQwkSfRshkslOnTunq6iYnJyv50I3oZopZUFBgYGAwa/oPKTERzcvlW8U8ryFM9qJc8qgN+98septi1tfX29vbjx8/PiEhoY1N7xuhOIb6MYjSYCc+09H6hlbMppSWcpYsXuB0ci9RRdctajXKUuGyQDmN8vjx4ylTppiYmGRmZtKW+ZaoqKipU6e2d5wnCWT7I3g3KrOp7zw9O6rzEbwLmV4gqemrS5YsWbFiRXFxMSVHb6A7KWZ5ebmVldXgQYOehwS25pdvZpQP780LlL9RzB0re5ViymSygIAAAwODy5cvSyRtraPw0BQvQ6kfhigNdmwIPaO8WaqqqiwsLA5Z/lxfQtcRbDVyHsHPUjmNQhDEs2fP5s2bt3Tp0vT0dOUcVMWRSqVXr1798ccfCwoK2vua6gIEMZATQN/IVGzkP0HwLrx6qcj2b424uLjp06fv3r27+QWflEK3UcyGL1K/fv1OHDnQhl++qYs5TPTsPOWSR7Fibl3YqxSzoqJi6tSpGzduLCsra3vrACukP6B+GKI02FG+Ot8MoxWzKQKB4MCBA5sXjq3KeUF5M6l0PD2OhKtKaxepVMpisX788cfJkyfHxMQo7bgqS11dnYWFxd69e9u+qH4LIUWMI56folcWUGDwixDjiBgnyCirtyWRSO7cuaOpqenl5UXV7PLuoZgkSYaEhAweNGjdyhVF2WltK2bD6j5B9Oo+vWh1n9evX69bt27evHn5+fnt+jo9O0mv7kOv7tMSJEk6Ozv/qPMpJymIvtnTYtSU4O4ivGIruWkqKiosLCxGjx798OHDxqt29TI4HM64cePc3Nw69jJ+ITxXoZi+fFJYlMTCzxJcxa7o0yZCofDs2bMaGhqpqamUnED3UEwej6evpzdRXy/qcXDbfvlmjXI9iddmyiWPYsVcq91LFFMsFjs5Oeno6ERGRrb3Ncl3ELaP+pGI0mAHOukMG0ArZrPcu3dv1piBL8Ou04rZYnAScGcuJa0jEomsrKwMDAyuX7/emy0zKChIX18/Jyenw69MvoPQfagpob4X9chouE+sAtTV1W3atGnu3LkdSKWQH91AMcViMcPG5kt1dW831zpeSbsUk1codV0idV9DueRRrJgrv+4livn48WM9Pb3Lly934DX54fDeQP1IRGmwfU7qfPEJrZjNEhgYOFVPO+PaeloxW4wYRzw5QlUDVVZWnjp1Sl9f/8yZMy2Wv+3p2NjYrFixQiQSdfiVQj7cltErnCkkylJw7ydUZCmgwTtDfn7+Dz/8YGNjo/ykzG6gmPb29v369j193La6tLBdfllRKigvEYfbSV2W9PLq6+eXDeoNipmRkTFjxowdO3Z07PtTV4abhuAXUz8eURfsuzt0Bn9AK2azREVF6etNSNypDn4R5S2lilFdgIfrkB9OYRvV1ta6urpqaWnt27ePz+dTeCZUoa+vf+nSpU6+OOMBHq7Fq1zq+1IPiyAGIs+AoL7y+VtCQkK0tLTu3bvXrspW8kOlFVMqlXp6en711VdLFi+sLStur19WlArKOUKWj8x5sjD+LuWeR1WIoq9eMOrf4xWzoqLCxMTEyMgoLy+vYxnNJInbc1ASR/14RFVU5rBvmtOK2RKZmZlTp059tH0MmRNIfWOpYLCZ8NuMmhJqm4kgiLi4uDFjxpiamubm5vaqYkaxsbHffvttZmZmJ18v5INpg7grvfxKW55Rw0HGA9w3gli1VqISCoUXLlwYN25cZGSkMqf+qK5ikiSZmZk5bdq08WN10+KiO+CXFaWCitL6jCDCSVf85CzlqkdVSHy29Ia7mOfOnRs3blx4eHhnXsxkILEXrxBYGMm+aa7zVV9aMZuFy+UuXrzYab856WdJ/wY3Dn4xIs4g2h4S6p9QEwQRFRU1Z86clStX9qpiRkePHl2woGtFSTlxCLBGcQydDSKfKEuF32ake1JVC7MVuFyuhYXFvHnzysvLlXZQ1VVMqVS6cuXKbzVGPbx3p4Zb1GHFzIuT3ZotZu6jXPWoCukf886bju3ZihkUFKStre3q6tqZVCQAaW4I3E79qERVpD9g37LQ0fiSVsxmEYlEJiYmu2y2k64LURhBfXupVJSxEGCF3GCqW+kNBEGwWKxly5YtXrw4MVGp6/VRRX19/ZIlS44dO9alvYhfI+ocnp9EdT71naq7R3UhYhwRxEBdO6rmUUFGRsbkyZN3795dV1ennCOqrmI6Ozv37fvpkf17XhXnd9QvGyaVi/13StzXClmPKLc9CiLRQ3Z5gr3Nih6smNnZ2dOnT7exsen8fNJKNu4vRUUW9WOT8oNfhGgHtouVzmgtWjFbYvv27WvWrCFjnBBxhvomU52o4SDLD36WqvZTWlRUZGRkNHny5LCwMKrPReEkJCSMHz8+Nja2qzviF8FzJb0OhRyiJBaeq1HwVAVvYb4lPDx82LBhd+/eVc7hVFExG556fP3116uMl70q6ZRfVpQKyjmiqCuy3ycK412pFz6lhzjkiOyK/rn9W3uqYpaVlZmbmy9YsODVq1ed30t9FUJ2I/sR9WOT8qM8E48PskOu6ujo0IrZEqdPn54+fTrJS4fPBnASqG81FQl+EYJ2Ie4KKKrn3Ap1dXXW1tba2tpubm49u5jRtWvXZsyYUVlZ2dUdkSSKo3F/KcpSqe9a3Teq8uC/BbGXVNkvARAEYW9vP2HChODgYJlM4ROSVFEx09PTp02bNkZbKzc1sZN+2fCsnB0pu24oinCkXPiUHWlMyQNziffmc7Z7e6RiikSis2fPGhgYhIeHdym7XyZG4g1EnOmNmXZFUXj0Czs5klbMVrh9+7ampiYpqkXkGcQ798Z+0myUxMJ9BWpLqW6f5qmoqDh06JCWltalS5d6ajEjgUCwY8eObdu2CQQC+ewx9jKYjF76SKfrwS9G9Hn4bYJYSQ+gu0JlZaW5ufmSJUs6PEe246icYlZWVm7evHnwoEHud252xS8bQuKxTuphQr3zKTkS7sluzBC9uHb25LEeqZgNKZjnz5+Xw+9H/lME7QQvnfpBSsmRfBth+9lsNq2YrcBkMr/44ou6ujrkP0HQTnBTqG84VYjQ/Yj/nerGaY3q6mpHR0ctLS07Ozs53OdTPbKysubOnevh4SG3GfSiWgTvRswlVBdS38G6XWR4wXMVqihbjryjsFisOXPmbNu2TdEVGFRLMQmCuHbtWv/+/Q/u2VVZ9LLriimKukRc1Kbe+ZQbomcOsqvf12cE9UjF5HK506ZNMzMzq6qqksPuaooR8htyg6kfpJQcvhuR/4RWzNZJSkoaPnx4ZmYmJAIwtyPNg/qGozzywuG+HEJVL0IpEAi8vLxGjx5tbW3N5XKpPh058/Tp02nTpskhEfMtJIGSWHiZgk2vmNrB4MTDywxp7ir+iPxdpFKpl5fXqFGjPD09FXog1VJMFovV99NPLS3Wl77Mel3O6bpiCsqLZVf0xGEnKNc+5UVqgMR9rcTPSsAr6nmKyeFwli5dOnPmzNJSOT2kI0nEXUa0Q++6di94Bo8VIAlaMVunvLxcW1v70aNHAFD8Ap6re3ud6ko2/DaDHUh1y7QLmUwWGRk5adKkNWvWsNlKXUhdoYhEouPHj5uamsr5Bi1JIMsXXmbgxFPf07pLVGQhZA+izkH8WgVTk1uBIIiGO/0vXrxQ3L1MFVLMnJwcAwODGYbTWDGRcpDLP0McckR29Xthqj/18qecSHCTOY4Rxd0RVJT2MMXk8/n79+/X1dVNSkqS5355afC16EWp7vxiBFgh4wEAWjHbZNKkSU5OTm/+8vgAnp/qvfd4+MVIuoXQPajvwhw7pZOUlLRo0aLFixcnJydTfS7ygc/nL1my5OzZswrZe7wz/LeAm0x9f1P94Jcg6hxC9uA1TyFtoXhWr169aNEixV2AqYpiVlVVbdmy5fOBA58G+cvRLwUVpYKiVOLCt+Kw49TLn1JC4r1Z+sc8QSm7hymmVCp1d3cfN26cs7OzWCyW565lEoTuRfxV6gcs5UTeY3iugqAStGK2g2XLlu3atevNX2pLcfdHvAyjvhEpidJEBFiBzVSplfHaQ3p6uomJiaGhYUhIiJIX0FMEubm5+vr6gYGKuZcsqUfk/xC4DeUZ1Hc5VY6aEiTewKNfwC9USEMohdTU1FmzZu3du1dB66+qhGLKZLLbt28PHDjQwe6knP2yolTAKxYHH5DeWSRM8aHc/xQeyV7ERS1hkkfDe+9JillQUDBx4kRLS0uFJO+/ysW9JajMoX7YUnTwi/D4EJJvN1gCrZhtwmAwVqxY8dffU1zgt7k3/vryi/HsJJ4eh0ROU5iVS3Fxsbm5+bhx44KCgpRQq0WhuLq6TpkyRW7JQk0RVCJ0H56fRBVdj73lSHPHg7V4lauoVlAKEonEw8Nj7Nixf/zxhyJml1OvmCRJhoaGDhkyhGG9pSwvR/6KWc6pz34quzpFHHxYmB5EvQUqLtKY0vsrpH/MF/yZxtpjFJPP58+bN2/evHn5+fkKKbJAknhxARGne3hVmhoOcgIQxEBVfkPaEK2YbXL58uVJkyb9JSX1VQg/hKhzqC6gvkGV2XPYQfBcjdfKW3pOvpAkWV1dfeLEiVGjRl2/fr1bFzMyMzPbsmWLAsvNkCRqOQjchgi73p583Gzwi5DuAW8z8FK7V/5lsxAE4eDg8GZeo7yhXjE5HM6kSZOmT52SGPlU/n755kZmoTj0mPTWXGGSJ/UiqLAQRTjKLo0XpgW8feM9QzFra2ttbW01NTUjIiIUeBh+IbxMkf+U+vFLcVHJ/vMW5ptnhbRitgmTydTU1PzblGRuMrzMelfF/sIIeKwEJ466dpAPAoHA0dFRU1Pz4sWLXVq1gTqqqqrGjBnj6+ur8CNVZsNnAyLPoCqP+h6oUpHuCc/VYDPfDqTdHT6fb2FhMX/+/OLiYvnumWLFrK+v37Jly7CvvgzyeVDHK1GUYlaU1rOjZNd/kPhaUS6CiookT+nthRLvzQ1ZmD1GMaVSqZub24gRI5ydnRV7pIYy7GH7UZlN/RCmuJHRfwvq/rIlWjHbJDExceTIkRkZGX/9EyEF6y4erO0VmRW1peCmwHcjEm9Q1wjyRCgU3rhxQ1dX97fffuNwOFSfTofx9/fX1tauqKhQxsEqsuC7Cc9P4dVL6vuhikROIO4bIcsHMrlOCaCavLy8SZMm7d27t7q6Wo67pVgxL1y40LdvX/vTJxXqlw2Py0UxN4mLWsIUb+p1UO6RHix6fEp23bA+M1TwTrGnHqCY6enpU6ZMMTMzk2+/b56aEjB3INO7Z04Zri6E5yoU/q0z0IrZJmVlZV9++WXjL5H4NSLPgmkDfhH1LavQePUST48h/DDq5VGGVjUQi8Xe3t4GBgZyK6+rRLZv375mzRrlHe9VLgKtEX6kt1xQtRI1JUjzwO3ZYDMhkyivCZQFk8nU0tJycXGR45Q4yhRTKpU+ePB2YGuuAAAYCElEQVRg2LBhG0zXKtwv31hmicTbUnZ1Ss+zTFHsbeL8N6IIR8Hfi4l2d8XkcrlLlixRzjpXAECSKIqEjwVKk6gfzuQbVfkIYiDhWqPMIVox24QkSQ0NDVdX1yb/QSDACo8P9uRktaoCPDuFwG2o4/aAnLN3IUkyKipq2rRpRkZGxcXFil7jRF7weDxDQ8Nbt24p75AkCUElwg/Bf2sPHBjbH69e4sVFuC9HUWQ3KrHeIUQikaOj44QJEyIjI+X1g0uNYpIkmZOT88MPP3w/8bv0+BfK8MuGKM2VXTeUPLQQsnwp90K5RZKH9NZcidcmATe/0fvt1oopkUiOHTs2ZsyYsLAwpR447gqCd/WoS/bqAiRcwyNLSIWN3iutmO1hxowZdnZ2zfwHvwg+GxHl0DMfI1YXIvYyvEy7+5zZVkhISDAyMpoxY0Z0dHS3KGYUHBysr6+fnZ2t7AOL6xB5Fv5bURjRMx/ytB6VOYg8Cx9zlKUo+5NXLlwu18LCYuHChfKq3EKNYspkMhMTk1EjR/i4360tK1aeYpZzhAn3ZFf0xcGHhWlM6u2w65H6SOphIrv6fX1+QtP3260V09PTc+TIkdeuXZNzFcw2EdWCuQPP7XrIlOGaEmT5wcccxS+aXnzTitkejIyMfvvtt2b+g5CBEw+v9Yg+T31Dyzeq8hDjCHdj8NKU/nkrFTabvWrVqhkzZnSLkpkODg4//vijMrKGmiKpR8odeG9AmkfPzw95N0qTELQTQQyUZ7T9KXV/MjMzJ0+efODAAbn88lKjmL///vuA/v1tD+ytLM5Tnl82BDdPHHyQcBglirlJvSB2MdKDxAG7ibPDhCyfZt9s91XMlJSUyZMnm5mZvX79moLDv2LDcxUSb/aE6/XSJHiuAcu12eR0WjHbg4WFhaWlZfP/R8jATYLrQiTdpL6t5RXVBXhxEZ6rwYlX7idNASRJ5uXl/frrr9ra2v7+/lSfTmtUVVWZm5sfPnxYKGz8OEJJyCRgM+GxEpFne8WKuzUc5D/Fw3WIPPvuLMkez5MnT4YPH+7h4dH1XSlbMQmC8Pb2Hjx4sMmaVdWcAmX7ZUOU5Yt9txDnvhbG36NeE7vil8GHCIeRwpgbgvLmk1m7o2I2jPhGRkbTp09XSJX19p0ESmLhYYz0B6gpoX6k63SUZ+ChCV6cbyl5iFbM9nDmzBkjI6MW5/CSJGpL4bKghzwxr85H9AV4b0Bldg/Lv2wJkiRra2uPHDkyfPjwa9eu1dbWUn1GzRMfH29oaPj48WNlJKa3BEmijovgnQiwQklsT76d+SoXrHvwMUfBM5BEL/kuNECSpIODg56eXlhYWBfTlJWtmOlpaVOnTNEbP644J50av2wITo7UY63sioEo+hr1stipED0+Kbv4rTjsuIDb4p3g7qiY9fX1Bw8e1NXVpXgRDkKKTC88XIecQOoHu85FaSKY2xG2H5IWq0zTitkeHj58OG3atKysrBa3IEnwUuG9Ac9OgpdOfdN3OspYiDoHP8te8kywEY6Ojtra2ra2tuXlSq0wX1+P69dx/Tpu3oSfH5pdyY8giIcPH86ZM0cR9bE7Q9yVN6WsKnpclbeaEhRF4dkJMHf0zi8CgMrKyo0bN65ataqLy50oVTHLy8vNzMyGDB7s436XSr9siMIU6f0Vst8niqKvU+6LHfbLsOPEeQ1x6FFBSVYr77E7KqaHh8eYMWOcnJwEAqrXqZOKkOWD+0u7pWWWJiHQGo8Por61+tK0YraHmJgYPT296Ojo1jYiZOClgbkDAVaoZFPfAToRJbEI3AbmdlQXKOujVS3EYrGzs/PEiROtrKxqamqUdlwuF1pacHSEkxMYDFy61Mw29fX1DAbDysqqrq5OaSfWGjIJCp4heBeCGCiOpr73yiuq8pF8G8ztSLzR+uDZ42GxWLNmzdq+fXubNzI5HNjZ4eRJpKWh0X0h5SkmSZLOzs79+/Wz3U9FCmbTKOfUv4yR3jeWXdYTxrlSbo0duX95inAYIQ45JOC+bP09djvFzM3NHTt27KZNm5Q5vreGTIKMh3BfDjazO+VlVmQjcBseH2iz1gytmO0hNTX1u+++a1dlg9c8RNjBYxVK4qjvBu2PGg4KnsNjBaLO9aqcs6YIhUJfX98JEyasXr26Q4k6Uin8/fHzz2AwUFjYsYNyuZg//82fs7KwbFkz21RVVc2aNevKlSsd27VCIQm85iHNDXcXIcaxJ2SJcJPhtxmhe1CaCKmI6s+XYqRSqbe396hRo/z8/FrZrKIC69fD1RXx8bh4EX/88bffnE4q5saN0NTE+PGYMgXHj6M989uio6M/+uijjetNSnMzX/+9fCOFlikoSpV6mhD2w0UvbnSDOeap/mL/XYT9cHHYsVaej6uIYh49ihEjMH48vv8ee/agzXU0uFzu0qVLZ86cSc18yZYgpMh+hPtLwLrbDTLca0pQEocHa/H4AIT8NvOHaMVsD2w229DQ0NPTs9G/l5fD3BwbN+JvWZokgRQX3P0R8c4oz6C+S7TZYXhpiDwLl/lgB/a2nLNmIUkyPT39hx9+mDVrVnJycjunmYeEwMQEL1+Cz8fevfDy6sARuVx8/z2SkpCUhP/9D006GgAkJSWNHTs2Nja2A/tVDiSJ+ioEWMNjJVh3UZ7Rna7GG4JfjOIYRJyGywJkeoOQ0d+CBkiSvHTp0rfffvv8+fOW7mU6OsLZGQQBkkR1NRwd5aGYGzYgMREkCQ4Ha9ciNbWN7dPS0vT09Az0JiS/eE69WTYKDlvsayVzHCMOOSJMUeF6mUkeEm9L2flRoufn2+OXLSlmWRnc3MBV/K2KI0fg7Q0Ar15h2zYEBbW2MZ/PP3jwoLa2dlRUlMLPrKMQUrwMhe9GxF5W6Weg1QXI9IHnGkSfbyX/8l2aVcy6OgQFITER3aQctcIpLi5esGCBs7Nzo0E2IwOmpjA1ReMsTUL250PnHSiMUN0ZY1X5yPCC/xY8+gWVSi+1qNqw2eyFCxfOnj07ODhYIml7KZe1a5H2Z32nsrI2hrtGcLkYOhTr12P9ehgZ4dy5Zraxs7NbuHAh9elDLSEV4mUomNsRdgCse91GNGtKUBKLuCsI2YPndqjKp+WyKStWrJg/f35ubvP1cbdsQUJCi6/tkmICKCuDrS3y8lrbmMfjrV+/vl+/fn4e96gXymajrEAcelR2dbLEa5NqWqYo9g+py08y50nChPsCXlE731eziunighkzcEPxCw6/VcyqKtjbIy6uxS0blnoaPXq0o6Ojsqtgth9eGkJ+Q+g+lKVSPzI2jYb66j7mSL0Por3l/ZpVzKQkLF0KS0uobFMomcrKSlNTU1tb20bFYnx8cOIEjh6Fj09zL6vjIuEafDYgygHlmdT3kEbBS0PYAXiZIukmBEpZ8LpbQRBEdna2mZmZgYHBgwcP2tx+4sTOH6vRg/KlS5vZZuHChQcOHOj8MZSDqAbZfgjeiUe/IuGaSi98VVMCTjye28HPEi8ugJfWw9YclyOJiYnTpk3bvXt3sw8Yra0Vo5haWtDXx+jRMDcHj9filmKx+NKlS5988snp47ZKWiiyk5aZL0zykF03lF6bqlorTKYHi55fJC5qS++vqM963KE31VQxCQIbNsDLCytXKvwe1ZEjGDkS+vrQ1YWxMVq4BAKAly9f6ujomJmZlZWVKfacukgdF9H28LFAwTPVukavLkTQTvhuBCeuQwNls4r54AFOnMC8eVDZOyZKpra2dseOHTt27GhUzmbnToSFITgYDEYLr5RJwIkD0wYeK5HlR30/edtbkm7h9mxEncWrXDrnrCVIkiwrK7O2tv7mm2/arBFoaNj5A72rmJ6esLJqvEFRUdE333wTGBjY+WMoDZJAXRnywhC6B64LkXAdFVnU9/lGUZ6F8CO4b4QXF8FNauczn16LRCK5ffu2hobGrVu3ms4ud3LCjRtvbv6WlcHKSk4PyuPiIJWiogImJmCxmt+MJEkfH59+/fqZm64rycmg3iNbj3KOoLxY4ruFuKgl8bUSJtwXpgdRKZdpTGGci/T+CsJpjOjpOQE3T9DBHNamisliYfdu5OfDyqq1Kw+5cOQIHjyAVIrqauzciZaGx6qqqvnz5y9atKi4uJjKem/tgSRBEiiOhudqRJ5FaSLFZeFqOKjIRqobPFcj4VonEumaKiafjzNnEBQEW9vmc8J6IWKx+OTJkytXruS9czFdVwd1dYwbh3HjMHQoWpzm29BnSmLgvhwBW5HtD146NY/O+cUoTUTCdbgtg99mVLJ76lLL8oUgiJMnT3799dcnTpzg8/ktjVHHjsHFBSIRxGJ4e7d81dEclZXQ1cX48dDTw6+/omkB1itXrujq6qr68PguDd2+Oh8hv8F1IYJ3IzcYZSxUF1B2cV6VD04CsnwQtg/3liDpJkS1dPJxOxGLxcePH//iiy9YTWyPy8WKFXBzQ0QErK3lmosJoKoKFhYt5mKy2exhw4ZNMtCPeRpGvUG2VzRLRLG3pDdnya7/IA46IEzxoeTOpTD+rsTfRvb7d9J7y+qzOvnpNVJMksTt21i+HA4OWL4cV64o9sv19kF5XR327Ws+Oam2tvbQoUPa2trdaNo7ALzm4elR+G9BwjWUpVIzaFYXItsfYfsRuA2FEZ3ThaaKWVCA+fNhawtra6xdK79PrJtz8+bN2bNnF74zVdjNDW/XLT95EvfutbULkkSmF5jbEbwbCddR/EJJ1yc1HFTlITcE0efx6FcEMVAYST8T7BBisdjBwUFXV3fnzp0lJSXNbpOTgw0b4OCACxewfj1S5LeWtUgkWrdu3caNG+W2RyXDL0L8VfhtQvAuPDsJlitKE8BX1lVWdSGKY5DqhogzCN2H0L3I8oVIRavrqzKVlZUmJibz5s0rbFIxITcXe/fil19w/ToaFYPpvGIuWwZLS1ha4uRJNFvboa6uztTUdOiQwQ/u3lbpR+TNWCan/mWMONxOdnWK7I954rDjwtQA5fkly1fit012bar09nzRM3tBSWan30gjxaytxdGjsLGBkxN++w179rSrFECnOXIEc+e+6SSHDzdTyEMmk7m7u2toaFy9elWB56EgZGLkP8HT4/DbjOTbSl3QnF+MvMcI2wfmDrDudqXKTFPFDA6GkRGcnODkhPnzO1x+pafi7e09ZcqUd6uvb9iA4uI3fy4sxPr17dtRfRXYgYg6Cx9zhOxBlo9iJ5CVZyLNHf5b4P8rIs4gP5x+LN45Xr9+7eLiMnbsWBMTE05z1TFkMrBYuHUL16+/uf8iL9hs9sSJE2/fvi3PnSqf+lcoeIbYSwjbD+YO+G9FjCNehqBKASNnDQeVOch/ghhH+FshbD+izoF1FxWZkLU9c4umJdhs9pgxY3bu3PnqVXsrhnZSMfPyEBODmBgkJaGiovmsvlOnTv373/8+sn8PZQtFdjF4RfXsCHHIYeKCpuz3ieKwEwqXyxRvid8OmZOuzHG06MW1+vx4Aa+4K2+hkWJmZcHW9k1OZGEhbG3leandlJKSN50kMRFcbjOdJCUlRU9Pb9OmTapVpaj9kATqq1H8AswdcDcG6x6q8hTul4UR8N8Kt2Vviii1e2ZPszRVzIMHERz85s/nz8PFpSu77zmEhYV999137z4kyn5nBjZJ/u2vbSOuQxkLrHvw3YjrUxB2ANmP5Nl5ql4i3QM+FvhjBgK3IycAVXmQCOhngl1BKBQ+e/ZMR0dn2bJl+fn5SjiiRCK7deuJjs7Mjz8eGBmpeqU2OoFMAkElKrKQ7YdnJ+BhjBtTEWCF2MvIf4Kq/C5pZXkGsnzx4gIemsB1EQKsEHcZpQmozoeohk4LkQsuLu6ff/6djo7hwoUreK3MwvkThZRel0gkLi4ugwcPXjhvjqqUwOxclHME5RxBSaY47LjsioHsgpbEc4Mo4pIw3lU+RTTTg4XJXqKYW6In/5O6/EQ4jJLdmC6KutKJtMs2FZMkER+PW7fe/MqQJO7fR0QEZT86ZWVlS5YsWbx4cV5eXnfKMWoKSYKQgpeKIBu4LcVzO7wMAzdZbllH/ELw0pD/FIk34GMBz5XI8oGoBiTZ9cZrqpjbtv2118JCnDnTxSP0BGpra/fvP/fhhwafffZjeHgkT46UlfFesnhh53nOC3j2erzrRrzAY7zou7yUYF76U15mFC87hpcTz8tN4uUm816y/orcZB47kZcTz8uO4WVG8tKf8VKCeE+deb77eDeW8s7q8u5u4L24xyvM4ZWVyfOEez2RkZGampqffPL1hx9+N2LEqrg4BV6ml5VVfvjhBjU1rppawZdffsfoadgwbGwYO7YxLJYxjCcx5n/FMPyYMeszxmINxjJ9xpqZDLNFDIvlDMs1jF/XM6wt/4qtGxmW6xgbVzLWL2Gsmcn4eQJj0SjG9P8wpv0/xvyvGMYTGZZrGTbbGQwbBsOG6vfY0zAx2fj++1ZqahV9+uQtW7aizT4sZ8UUCoWBgeFnz9rr6U0ap6vDiomkXhPlFbxiUeQlqfsamfNEmfNkifevYuZe8dNzwviOrwyUFiiKvSMOOynx3yl1+Un2+0Tp7fkS783CFK8u3rZ8NyqL8zZt2Dxo0FAXF7f21HVTDlKpNCkp9datO9u379HU1Ax+e8esZ1BdgBhH+G5C0E5E2CHxJl6GoYzVmay7SjYKniP1PiJOI+wAmDvw5Cjyn4KQ27rtEonEz4/55ZfDTp++UF9Pz6lskbS0tEGDrPv04aupcQcNGmWsIIwWGc/WMzb4r7HO/xnr/MtY/3PjaRrGM8caz5tsvGim8U9zjY0W/xmLjH+cbbxwuvG8ycYzxxpPGW783RBjnX8Zj/3Y+PthxnMnGv+8RFEn2etZvnz5lClT+vSxVFOree+9jKVLTRTX8Xg8Xr9+y//1r9oBA/L69h1pQENDNTo6uh9+uOEf/6j95pvKGTNmttmH5ayYHh4+I0bYq6ldfP/9ZRtMzHzcXP0fuPeocL8T6HyIeWpV0MGZwTs0g7d9E7zbIOjIIuaxpUy7dcxzmwIvbA+8vDfw6tGAG6cbIvCqbeDlfYHnrZj/28A8tYp51Cjo8Lzg3frB1qOCGbpBtouY9psDXJz8H7jJ91QP7T00oP+JPn0cJ048lpzcVnF8ZZGRkT1zpt0HHzj16XPA0HCuv79/aA8jJCTUzz301vFQB/PQUz+H2i0PPb0q9JxJ6KXtoTePhrqeC73vFPrgRqjXnVBft1A/91A/91Cfe6EP/wj1cA696xB661io857QC5tCz6wOPW0carcs9MzK0OuHQn3uyf1Mb968o69v+/77joMGnblzx53qrqG6pKWlDRu27aOPatXUygYPHv4zTe9mxowZ/fpt++CDmvfey1i+fJ3iOp5AINi37+KQIVZaWuvOnTufQkNDNRERkZaWJwcMsJwxw/rhw4dt9mE5K+bmzb/06ROjpiZ7T+1Cv779hg4Z3GNj0OfqAz5S//R99U/U1D9RU/9PH/W+/1Tv/6H6gH8PHfjp0M/7D/3vZ2/i8/5DB346dMBH6v3+T73vB+r/6aP+iZr6f9TU+34w9LP/DB08SEFn+PHHn6ipZaipyd5//8SDBx1ZzkyRBAQEfvDBITU1qZpa/kcf/Vu9ZzNooPqAj980er9/qn/2b/XP+6r/t7/64IHqg/+rPmSw+tDB6kMHqw8ZpD74c/VBn6l/3lf9s3+r9/9Q/dP31T99X33A/1P/b3/1oUMUdHYDBgzs0+e0mprsvfdSTEzaOV2lN1JbW2tnd/nzz2cOGfJTePgzLk3vJicnZ+/e0337GmpqroqPT1JcxyNJsqqqKiUlhcViqe66PjS9CYIgKioqkpKSUlNT27NOipwV09n5mo7OH//4R6SGxuGDBw/doaEOc/NNX3xx7V//ijQwOBEV9UK+Dd1pEhOTDA1PfPRRxOef3zExWU/1h9SrsbU9Onr0/n/+8/mIEXccHC5S3TVUF5IkSZIkCIIgiO6dN0wjD+j+QEPTTuSsmHV1dVevXvv1118fPvRutNgajZKpqam5eNFxy5atjx4FiESqUqlELBaHhIRaW287ffp/NY0qaNEoF5FI5O8fsHXr1gsXHButW0NDQ0NDQ9NFFDKjnIaGhoaGhoaGpjdDKyYNDQ0NDQ0NDY2coRWThoaGhoaGhoZGztCKSUNDQ0NDQ0NDI2doxaShoaGhoaGhoZEztGLS0NDQ0NDQ0NDImf8PIca6RVuXWlIAAAAASUVORK5CYII=[/img][br][/*][*]La constatació que realment l'esfera és tangent a les sis arestes es pot fer geomètricament si calculem les distàncies del filcentre a cada aresta i comprovem que són iguals. Ho teniu incorporat al fitxer compartit; són els nombres dist1, dist2, dist3, dist4, dist5, dist6.[br][/*][*]Una alternativa que en podríem dir "algebraica" seria construir una altra terna de plans bisectors d'arestes i comprovar que es tallen en el mateix punt que pensem que és el filcentre.[/*][*]... i possiblement la persona que llegix aquest document pot tenir altres idees! [br][/*][/list][br]Ara bé, hem de tenir ben present un fet que es comenta en aquesta cita del treball original.[br][img]data:image/png;base64,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[/img][br][br]Això mateix s'aplica pel que fa al treball amb el GeoGebra en la finestra algebraica i la finestra gràfica. [br]I ara passem, realment, a examinar molts exemples.[br][br][br][br][br] [br]

Information: Tetràedres filcèntrics