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</style></head><body><div class = "content"><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S3">Práctica 4: Mejora de los controladores PID implementados en la práctica 3</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Las prácticas de la asignatura control por computador consisten en el estudio de un servomecanismo de posicionamiento angular (LJ Technical Systems) controlado por un PC. Las sesiones de laboratorio P1 y P2 se centran en el análisis experimental de las respuestas temporal y frecuencial del sistema respectivamente. Las sesiones P3 y P4 se dedican al diseño de controladores PID. Por último, en la práctica P5 se diseñarán controladores en campo frecuencial.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">OBJETIVO: Diseñar un controlador I-P de velocidad de salida para que el sistema de lazo cerrado tenga un error estacionario nulo. Diseñar un controlador I-PD de la posición del eje de salida para la planta estudiada en las sesiones anteriores para que el sistema en lazo cerrado cumpla unas ciertas especificaciones.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">En esta sesión el estudiante ha de:</span></span></div><ul class = "S5"><li class = "S6"><span class = "S0"><span class="S3">Diseñar un I-P y un I-PD por asignación de polos.</span></span></li><li class = "S6"><span class = "S0"><span class="S3">Verificar experimentalmente el sistema de control diseñado.</span></span></li></ul><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Alternar entre los datos del experimento y los del directorio Resultados</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Si desea usar los datos del directorio Resultados = false</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Si desea usar datos propios = true</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">useExperimentalData = </span></span><span>false</span><span class = "S9"><span class="S0">;</span></span></div></div></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Ejercicio 14: Diseño e implementación de un I-P por asignación de polos.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Como se puede observar en la práctica 3, al diseñar un controlador PI con una planta de primer orden tienen como respuesta un sistema con dos polos y un cero. Este último, tiene un efecto negativo en la dinámica del sistema, normalmente haciéndola un poco más rápida de lo deseado, es por eso, que obteníamos un pequeño sobreimpulso. Para eliminar el efecto del cero, se propone la siguiente alternativa de introducir las acciones proporcional e integral.</span></span></div><div class = "S4"><img class="imageNode" width="522" height="169" style="vertical-align: baseline" 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rRE6cWGrztTGAlJaNc9R/fowU7HHXdc92Dz4+sgMbS5h346HeXQlbEZwaBgj4C1D2rqZ0w4O1YYzDZlCjSbjTtdDhE2UnBzD2X/ISz3lV9dcio1joSbvwGlIzs1ilp/DpMCGshT5ljativ9q3uUKYC/kuminMPB0NF5guuJlDiSSspT/kz/6uhOAXRrsCTbdvNJH9qR/YMPPth8Sgtxu+22I7Zkk6o7Tcbxq87faEfz9fzG0JoJhNWgbpMxGuyyyy6lAeZoROaxWXFmm5kFVee4oG0nEcv2JRxkI48FOroZnjiZUwaw8Q6eYQrGfEstEXY/6HJ0P1MoHXqthImNprEZMplWNN0bhqomU0AoCzYP3IPE0ET9QKdzeGERne3A2b7xC4Z2HWhjIuzYKprTucY///nPHb929GRJ2nJ/CFdWGjgs73RQFcm6+BkDygA3bjpWs3pOlwKaxlPGGikMTd3f3hw5HNON+nw8Bx10kEHWm1mi8PHVT5pwNot6lC6UVZ5bt4Vll/tQeywb/kp2iyhDw9Dy1YUUQL7c8o0exR2ePVahBgsKBD1LapT2oUv/MXWTFzocH3qojIvNYwytKcs2mvdyaJVlCEiDPv7xj3cS4/3vf39Z/XBrfcMdQOX8HyPCv/nNb9IGFOWl/fbbz4WO7rb74Q9/uPvuuz/sYQ8r7QsbWwz1Dp7BtWyUMfBA7J3zF3ThWvXtt9++PdP0Oe2009qBHBsS4P5kg7A9fPrQtKIzkXnsGCSGvuCCC+yEuiLbkoXbojmOd7ST76yzzqJTwQBzuY6xVNIVeF5++eUmdajXOMiEiml+sqZytTix95SzzqmnnmqJ1l4YexOT3aqozDTqKEd++9vfbi//bPgYOxxssr0b/RsF9P7ZyKimOUMKaKBoo0xnpDA0s50s4bsT9AMf+IBdFI+ryNdff33DtAO4ixYtMsApsK9OrrCYvtVWW41XT1uyZImS97L/mA3U0TFXGFphrAFMfgGdsbxnvJqgIz3n0HPeY+iStjZIK4YuCTLubqqAFCrg45e85CWGgsmqA1CVh80iGMnIYx/7WOA4fhKdEACXqEYAGzIwVQR42tOexhZ1OX+5ImOzzTaLQ9XtWZOHmlCgste+9rVQODQPdlN3thnSDqwzuj0TJ3oT6Kf/vHQMEkPT1iKENitTPHe+cDKD0HRlwGKbCOZ1y6YgqyYEoK2z7WhsvPHGb3/72ymkM15IcuwnwN1xjnnpS1/qLFd3PVQKRlq0XdLmnnB5dWlmk7QlnQsOh9bwZgJPZBfz69Cyrhn1ToEJCD2icmiW+Q2I7XeFAsqGaSLnRjVtCzqn0vAcwZ/wrnNFrM5h+U022QSGYD91huWcQwyNzTH4lIv/GVZw4URHzxIWqPg8k0OXTVkxdEmNeeAmp3OwD3aaDDKpI6ACLzUEB7AsMd9hhx2WRNhzzz2B1xQXQsCSLQ94EGOXgksR6WmI0lHn9rLLLqNAEp/0OkkBY1A49Q9wP7FK5p4OsHtaB9Uy4jg6Bomh0TSuWSHGP/zwwzuSA1amlKxtSGKcPtQSEczuA8EYNwN5TO2SlmV0SNd9KB3VMHQOnQ8azsANhwWZBZMFHMEVSyu2wwy1YWRRV5js9KtEYO5nP/vZ7pHvsi5s5NX3T1NpQnzFQxlLvZgSfOq4eOg7rxpx5hTQNNE6mdToyKFtBbaLB6644gosaQRsHyhtGVmvZkVm22FF2t/ttcaWU045xdF19w64LAmGJj6ZYWnnCkOX/SdgNB8jQNqUmGG9FmD0iqFHodFJQy+66CIaBV0kU93L2c6SC0GXA6hlQ4ZKRhfiOEvqHhY76mUYwkpSZ3v+4Qk5kC+8/OUvj5+I6W47AYz/ZayG21dIrKPOKplFecccBEVkCeNRCJxMbi1xsmoJlhCukeM8+zlgDO2En+mNZk9uLjToRfxMq50nVQ2KH2nY7vOf/7y2hBdXXXVVi5iMxQfYhYM7Ylmq9GwrWkhl+NJBd37XXXcN7Xsm7Sy21llnHZJvukEUnc3BDSTUiGvfxCKs9Jwlt76umjGbxiDip7zC3WW1N0vlqcl2p0CJgSLkiGBoBXOm+/e//32j/A5/4Epnug2yjU+kCyBpw3P2ftqDwoMzTF8iY42hg9MRAWuDzvETy+dCeob0WYDRK4ae20YnFLPXTwh65JFHEp8Re4Ff2c97L1tMeWX4hYChDctkiJNBpqAGYQcM7Wipn/CrLXq0gmRgrRQv+ioMdXlhLGNI4p761KfS3JhySeOgKoO/JdnD3b7DT9cARG4PWfqYbggfU3uk/DQv3YPE0AhEhcPRUYB4MmIlX9mTtTeRR0TDn0TZqcRyBWNv+lGPehQtn44J0pOmEk3To+NXt44DN/nJpSpgtNnX1YbWfO1nVzMkh5LQT9IbSs9ZdWOkBqY3rXpmNdOaeB8UGFkMTVZBS6q9Roxh6fYd5RwkCr3YSm9Psz8fu5Z4sL+4GctpirHG0CriMKFehOXh5pLrHSvOETLrWx1TUqBi6ClJNHsBCMLMwk4qJ1ZjWYIObhhri3zJsChVTlkGnb8hM1oIGHpKsghA5LfBBhvEWAElf/Ob3+RprVIKHOFs+42Ib0gP5GMvnRZfI31fG1Jk17tIvF340ojY409w3LZ/j4HnQbABY2jaEYywTEkXOhVUavbZZ58ImdOGc6nkyuX2gd1bB6S63ClIi5qgOpdiZdb2lRoY1HIZvofLy2Ad3XSMCMwcPu34dTY86TAprWnVSETojibxczbyqmnOhAIji6Gdg27ouqmm0jp5zeikw4XttQZqc+Zr/5o+FqvE1SUb6pwXXnhhBujRIbtHPOIRPQaeLNi4Y2gtgnqBFbD5//3fX8l7+ADW5rYGhpiMCNW/pEDF0CU1hum2q2w/+R3veEcjU6b3aBHQ6wh/J9vKu6wbgfNnxdBJiobDjrrr5Hgyu4SYAYJp7pE0h5tGh3HeCS68AEcFtR2AcYELuBWpkV5/+MMfJpFsYGhaZNSXS73qRu69/7zkkkvkOEy5TO9lm6WQA8bQPZZS2zvhRL1d+JNPPjlncYoW9iZK5PqMZzzjkY98pGCOG7pnsj19sjcq0ebm9k99++hST3nKU2xO9Z3C1BGXEkb9098tN7fuvfvRjy740Ic+/LGPf+LPf/mLRCYu4Jo6sRpimBQYWQzdkQhUkNdee21KbO3K0B3Dt3sSIDn6TfS78soru+gVt1rpMfV//PHHtwfu7lMx9ATXL731xhvYhL/1llt/dc2vTjn5MyeeeNK5551/w81L6zHD7v1nsq8VQ09GmVn1N4MTfDqtZEhsZEQ4bUc6RNGgGyXdPOjWCFn+rBi6pEbpNnKiM6OljNOlmTKyNvZJLVdozjCQB7k6TmbXkTsUw9ATnibW9KZmI7pTJUbvMuVwk4+A4DMXRdPAZtCsPf157DM3GJrk2AFPA595XZOTwSAxTuNpvZXk5uPYqU0iPvYvOs7ZErFbQTMkY83cwQIAPZOA+DNPTQottLz0tqU5zgR6vtWGbvFnG/fmW489dtFDH/rwXXbd49Krfimizo40gs/kMcChUiu1iZtc8FUMeSUvYUvGHOKE2b777svoAQ0ZI6BjBK5kJ7mPFCTCIYUsD9yfnyJZX8sAGXLeOFQzapo1GhF96CxP6aCP5JICytD9NYqtG2OrLuHSKfZtGPFwJpj+nKMCHY8olFm3uyuGbg0Et9y89KYbb2MT+vqbf7n4V8/eYedHr7/R2w5/zw2Ya+Lvuhtvuva664N6lBo94S7Yrp20LR/dsmTqDIRDfdIBYqTlL01jr4GO+SN2Z+0U2xXUsnR77FcY+kpBhojYPKJnCqGFIlkyrQY7ZL5Dc0QFy+yqXY6SGrjY2SEKAD0+tnrINTv2pUwWzbfddls3E3dU3TzvvPPcVGegEF4fIynLiF0c+ljOJhGs6nIkuShME4g0Tk2gGE/bj0E3GqqLFy9ujMx/+MMfzOD4vfsyBs4mIpkJLzvySL2key5ZnXnjmBsMTboM9cJt5ubcETZwQ8ylQQ8BqEefdNJJtJMttlJc3aA+dgW+aW40/Pv+aWhwNqvv6O0RQU5ouTUFln/W7rfesvSWfwLJh7/zSAK/jZ7y9Ct/dfvJMNNqYu/2lHvxwRUTO8WtGZQ7xqmYmCn+L1q0CDbyUKXFQjSZzKZ2i0yr1pSE8bZ+gGkBGHww6TZyxK64V5p4O8dcPp5GyHnzEw09ZXVGGUNrSj0Ko5UF7t1NP6Rh98ZCy37RZMzYPeWKoa2kl950A8YPQl33l+setd6Gyyxzr9e+8S18jAX+rrtl6V//cUOEwFY3ustw4j6WKTE0Bgd2pYMTMWAikmRGPmEikPhKx4CeWX61Wja6kh4RFnJjeZsM7mWwQW9wiGNMInqk79H5uWXhUTojQIMduveB2fiqgo0yVAxd0plMxC6/uxR6fBwZchNH91NudoAtzpmcB9HKvMJNK5d9LRjaQEHfsvvpo4yuX2VfDc+KoZM4s+1AeQDAKXOt0Ede+gNN6O42QPpIdvSjzA2GNiuzagerlRqWBmvCrUYbEIqQTIN3cUXTZAQlzB6UKJp+vRMSV1999WR59eF/O4YWMzE0DAaHAdBLb77h73+74tJLr7js8osuvOg1+7Su/Xzshpt8+fQzf77k6ouvWvK7v1zb0pTs9zG1xBNjU7CHt9Uqw382faxnHPOiDmXWJOwnVIitIirmRBGkmNSk9thjD2Olx9KCDUv3JJk7W7WZmFalbzYljvI2xfLkEwH6LfVIxwt6lkUcZQxNK4msyBZeWeC+3V/+8pcxad9bfpT51ltvvb5zj4iEZHjEGm+G6eiojQlb76XcWZpTnWEWHaLj+qW3EChdecFPrvzFld/71vfWW3fD5e95/5fu/bqfL7767B9cfMni3/7l+hsB6JvsUU3EX2qD6kaYeOpBQHWsjfVPzBhgF8BVTcngTWxLGAk022SjMqcdmTV0gsUWcKyolyxZgrYGAWvmnXbaybEwB/+dzLaOyiWTxKUcdJNmROxQzeF6KY+ClXlWDF1SQzewqQsT9/g4699uk6FMkNukTCHTqbWGf/wk0nIo34k30s3GxdQdw4dnO0tWDN2FXAP/ZAVO3yPFmr2nb7oXsf2W8t5TGN+Qc4OhB04vQzxNIBKyGaYMqT//+c+nADrDdNqjB3j+JwxNUtsSQt928Y8veMRaaz1k1dXWePAa91n5fsssc9dl7rLCv9z3Icve6wHrb/zMj5/6petvagXr7zG7eDKuac9kY7eFbUE3pVvG5HFM06GvQnozYROzo/mSO1IgS2BF0g4dS+9huYa/UQ//CBZZMHwTkrDMcf45ENBT1mtkMbQZiEiJzqKjHmWB+3NbUNmUMBlPGd1K2Oq38VCRJP5kvJKj8cnPz33uc2b6KVMWYOwx9G23HXXwQY9Z/cEbrvOoFe6+wl3ueu9lllnhbve834PWfswqD1l379e/6fyftg49Y1pwu+W46ebrr+uJMgLrmdBPMKx3ktRmLmZnIxzjx4kibBvwGvN6uFMrQ8TYkAW5iDCxvMNJIUrMns8hWDzyndtHMbJgUZKKoWe7RWxGkUPbweiYEQzNgKwTFEcccUTHAB09K4buSJbqOcoUmCcYGolpBYG/Z555Zt/kNveQzTi42ncKXSJ2xtA3tzDr+eedQ66Wz7LL3eMud185fq7ywIcd9f5F19/Y4RBAl7wan2K2S884eWAfwK4uAB0zaH4Nhzkp0LafgZLDH0SGnkmmXVsTx3gzuigm7JiMG6nNs5/o6SkrNbIYmtnRe9zjHhSaZ74tQKPRTkVisrL67W5ib2ce2h8WlOzwtvvzoUhHUNqeVLvP2GPopUtft9deGHzZ23n+bsuA0cuuEB7b7bT7Gd/9gVobMYIHcVasSyd0KNrp8U8+AsfqV0vlBrqG23777elmYF5iAgNddODsxtg2gLVPYkkkEhXAEpoS7Yte9KJtttnGNgJ/nhLPuMYHUaTwT+UY7g8FzvJEzhVDz3YL2NC4+93v7phEx4xo3xp5XPkR/apjmHbPiqHbaVJ9RpwC8wdDI7S1L1lL39uLkNCJJ544Sw3WGUPf0gLHv/vV1e85/PBFHzn23Ue9e6sttzaVrr7Guvu/8W3vPeb4Ez/5uR9ddCkNxBmWyhwT6IdOM0U3J4fMizFTGrYS+MYQFtOhOSmnpcYURahJa8oYCoi7NEfZRBQ4xNjcnhkWeJSjTxDmn1pkZDE0uS+c1rcydLaCCmrxaN/07MPhzMNC1+VwsviWm8/72lc/+PZ3vu+wo97x1sNWf/DD7Ttt9NRtjnjfce/6wHGf+eI3Lr/6N7rXTa3rwG/CSslZhgHHKro/E8zXesUwaNG7xx57ONjgXFfsRUjUp+R9qXFbYmlcDmDdk19j6SU1OjwgOLW6uE1WAOl4R9kE4+hesFn9GiUps5jHGJqUB1NTXyzrO3w3XXmWN2j+dMzajiUptcvROn6dzFNPi76XAaouR5KiOkaTAvMKQ48miaNUk2LoW2647eYbzGOtYLfedujb3ml83OAJm1y6uCWTixlzqnkzcuj8jtkuxibHZs2CENU111wTofmHI3Chd4Tn8CkeAcLT2xPhSZ5OO+006pLOgGZqPokSSXFEyPn3jgqW9RpNDK2xyHd1pxleFWSybNxliAL0prIzlKTo7q5nClvWeW51CmICcd582+9+/YcnbLT5Msut8NJX3w6JnDO43knj25Y6WwBRTLBUixER9pZbnS3sTuDbGTCahsiZ0qoDD/RkIGMxU76gBQHfCAYNe3yNdyujCWG2TIUPGM2TEjxgagOKKo6fHsFEyQDhOSdvJVGjMut5jKGtZjE1hbqyvsN3O0ro+jPbR42sf/nLXzK1RjvWBQusF0ensiHWi7kGXS76ZKZZMXSSojpGkwIVQw+pXcx9t09/4fKGR82mt9zYet+29Nr/++t11173jrcfbnzceNNnXL54Cd///VtL2+P2iH2V1CxIAu1tCqQa6whRmUzMzXxIoYTJ8SvmJG+PMPbjPCmGzFjGR0rVrH3nBBbh24fCMtNxd6ts1jfqMpoYWos7IcfWDctWfdNch3HGLls80qG+zKpDH2lWDN1Cz3afbsb1NoCWXnXF1Y9/wqbL3u0+r3jN/ticETsYGuPfgQd1tNvRoa83t5zdBoPguwS1BJarrLJKNlN8ja4rDLWNhkqGAB7hfY1TEOnDE2t76w/s8VOci2QFSOQdPnPyVrYGS04XQ6OGQzWeVHSZk4pMlqnB2R4OXXa6E2Gs3cALqloes0kam4GTxZ09f+zMaKaTqWyrUcRy3JxIhTXi0Kg0LzitbsPTevuoo45qNFDHUulO0c3ya8XQSYrqGE0KVAw9jHYxL7Vs20VW/rv9r2Xb7va/pbc6OfT3v/797Ycetuxyd9tsiy0vv2qx4P+4Zenfrv9nAUtf5TXnsbwBDIXM2HBmqIKJPTlm8YwZVA7p5iNM+PPM6dnsC1WLa5OXhQQ7xZGOt8BlyL7KO9KR1M5TFnE0MbQZ9573vOczn/nMbOKyzL24v/71rztZz0oDZQC4GSg3U+pF0iRt6iWFRpiBYGjGfKwzaW01Ep/uTx21QRlwcNbtckzIoW+97trb/nHdrTctvfLyJes8/FH3uf9D3nrE+/56QwtAs2r39+v9Hw+E2rJ144cx45YedDnuiHgbgOV8iDMPeFYKkYiv2BYgyw7MgcGF8fAPt8CIg8eDnf3k3yrD0qVLliw54YQTSKMpvIZPixmKoSMLMEyHcipDmeO0MDQzFJtttpnVpjtx3UZUbqyVac6h274fBTxG4tgfxIwve9nLvD1sETJKqFHmqmyk0eTi++23n2K4TIDGfOx4RHk+/elP77///vQ69K5eStjOkhVD90K3GmYOKVAx9DCIb/6Dof9JhMTLbFr+2ai95dZrrvnVd75z7iU//8Vfrv0H41YmrhvjcP4Mign6mPYYqyKPNNnEbBqj1cT01zJWFcn7yR2zkZAe/kJ6c/vEHT+F4cPN03TFriRl9IgY03AEm0GpRzeqakZNs4gwtKNy5rn0mUOHFgGG7ONrcVjTVr6To+awaM3eC6a3sMkQd22oIHsabgx1U/eaa65p4dR7OmXImWBoMkII3qk4/U29nvSkJ7G9aIpVu0ZzlDl2ceuiDZog3TAw9E03LL3xH7fRdb7ltr9de/0FP77wvPN/fNUvf4/T8Tu7OXQ2rENvvMG1Ji1dDvCQbvRNtxJbp3y6c7Va0SbgLCsc9GURKnk2PvmpysJ4c0cq8TPjcviqCwVxfMXRPIXnFoVNTOcLWeoAPf0UzNfOBRqWr4I1yqDubPP1mD/uAEOJS3GxWJTIe4xYgw2WAtH3yjSt1elVWwqWntVdKTA6FKgY+s62yIE4h2M+OdPcGa4vl1nmnyaaFobmZU4KJJ1i6ttTv/nW225sqUW2TFzdZFKdwLI5XSlYQFWhlTAKzCfcMRJlyQkDnO1wU3r4kBNE+HzHZCmpiBj+svBkXfNnfE1/DmeVWDhi6ig8FcNTBhg7tzp6VDkqwh1VCAIiV1As3j6R0drgtv09w5qipFsJtthiC8CXXd4+Ujv77LMZSrczsMsuu4C8ng033JBRBYa93Z3RozQo8mWIAxTLMtCCBVudIg3jDOk/LcdMMPSJJ55oqYY+auRh4mPLLbcklnP7D3g9rWJk4LKH89SgMHR/lM80p3Lc2lLkoM6BuSa4P8PjdKg2uhrF55tvYnuu5eG52TbVBKBmJDqW4npmWfg8CBipkVO6JyVExZm+dLLHipvuDJAOIZOFuSMj4cMBXjOi73ZY3V6UHGcy+mw4FMOjDJFdlCR8ogx88iefAw88kLYun94LY9eFJfVB3TPQe741ZEmBaNn0CTm0pkmf4TuiF+l4dmYid/3Qw91gw9kom9w9yNKx5ytGo+crg/CGeu/ZKE9Ns0GBiqHvJIju2OqtE/NH9EscErAjft4ZdOYu3bvVw/0LGB0/b0/3Dt/WN5zaumBh4sFFiieQ8iiYyYxbIaOc5lEOAXzliK/GICIZiCqSFssjgJ+RVPj38RY9y2M2dVUk2+zylVSk30eaoxBF4dXL24NWiqSmyM8zahdtwdPXoCEJFuwVYrmZVIE5Xksd12QyGsUeWR9J2am3E33llVcuWbJE05NGE+QsXrz4qquuIlGO0vaR7KCifOtb3+pdOtjIFNm1SMNTE0SjNPyn/CkpCUawsmVt6M86hrY0bh0rdG6wlX/wOLDsT4Fafv612Nzq+nY/P3xq/S1taUUrMO5uddA7ZtY8roAa559/vrOkAXAFaKU38bQym8EzkdudRDOkHHDAAfa4IosZJDx11KimSmiyHGGi1bzFj74hWDAsH0uIxzzmMdnEU+dx221ubSTyDMMjvYSvYQZLAY2V7aWVo2WNYG5y6f2WlsEWqUxNkejKK5V+6G22xYPes9r/o+d7o0z07fBJ+igJH0XKr9x8wH2OsvzVPUsUqBi6SVj9L9hDN9Vx/RRCB032bkbo73drmhTTP+lPqGsUHT4+5ls47Ko8kVU7b2CYYO8IoMxZcvIY+qx2wH3Cb1kRibSnE9F7fMtCppGIM9ff+MY3TKuLFy/uMfpoBlMdJEoqZSHRP1U1osre2SIO+rhQIANkrP4cpMiMRrlSrr/ooxzLfbBMK45CCTUo3Bkl0Xuj7XTpBz7wgRS+Z7OEE8h46U2BofE4ZNwBQLcQdusS01awCUAdGFp44ILcPTqhkSpl8OFj4URUb+vJkinGLnXxiTt/9le7QA/6PK73RrFDDz10sis2+suiYyzFDpZslN+gly0YdfdOlqTK4kBbxwQn8yQFWHXVVWeyzTJZytW/FwpoUI+Q2lEfCzseMPTyyy8/t7oc0buyYBiBW1FnewEp3+n2/AifBe6F7DXMDClQMfSdBEzcqQtGL2xNO3eIvsI9xPfEZq/93haGv13QwhEFw8Z42BQS/Bz+PvlpFokyR0jHv5xEaSUx8aijABnrDu8+/5eFvGIWd3+7we68886TFn/MPERaDTKrKH+kiFxoFZTkEyMU9AC7ZDCOAZ4pNHPE8aa8P1L68+ZBz8Q9c1spbRrNqjwJvBTPfgIbAso2yC5VpLU0TPHccuPSW1p86phgS2traevvpokzxi1RMwG5eZrFnpbRnpaC9C3UoyfCGAzAaP1QUaOQwcve4bBKsZwjim6Qt5XXHXL3xqdp/UQ0SQXFDCz6quhBw/hU1HUwzmimTFwt1DQ8uZEi1rccShLBOGy+sa3We9Xs3qy99tqiSK33WDXkACmgu2g+jzEw+yoMbXPA7pyMBtOfpp9KOUQonsE/+r+UOBR1+kn2FENeau0doafs+cEXAif1Btg6NanJKFAx9J2UiS7rt14Yvnz0y5xi/RzWg3Pu+LujgLLGvRQGonjxc8mSJVlUDp4KHAEwkmNhdEYZG/KJf4TkiHki6hKefb8lEvT5xS9+YRKiuAbcx7AS6Y/RGxGQTvnNx4odPyFmbtajnEAPKvmZxIzRyr6500i9XII9JZ3psLrfi9XVKMCU4WuAvimAwrquhyNZZrXVVks5NP+BPi32nBA/ky635NA0m1u6Gf4mpNF+tjqdP+MPqH0rnWnBHC2GtG8P88f//fOf/ty61Sge3S/KHwjS+EBT+aEPfWipyB5VE76V+8we3T56fqTpBh9mW+xxKUMkPFBytRKTrDpiyahm/IxNAyNhHv5TnuDECOD9pje9yXDUe5XZjrD584IXvEDc+swVBbSjhvYoQDQoDG08TDn0wDtYLwkqSXSk6PYxQQSJFDU8e0lnWmGCAh17PpW/lLCUPT/oxsf87okyz1VTLpx8K4ZutjWGMSGVI7LuqF8OsUfGRHrH+44JXkEVDJjLsi1evPjVr371IYccYpleKuOa5xQYR331q1/da6+92B4SVyxTrLeK+MQR7mb9e/4ti8SaIjmtT5fjpJNOuvrqq33qOZnRCog4mnsCKty+FEE0RWSHFSUZbzrnnHPQLQsdvYKNgpVWWinHtfzahwMcJ3eJe9T7iF6j9E4BvVTjRgviCI2uZe3mJ4buPameQ2JqUBlmvh0Z60l+BIZuAcb43jJ5OQGgJzA03sVOgVI//qlP77XXS8OIWMll0ScBjuOPP54uB/V3ieWcWg5oPRe1Q0AJRprx7YQTTnjxi1/sriUs0yH0gLxUU/oqGMOa9gqW/MhHPsKy26JFi4jey6yiQQkO2JAp/bu7DzzwQMZeGrfusTVEE/fKK6/sHrd+HRQFNHGyZHQqpngcDmFkelBZ9JeOTqUHekRXwuzw/D39pTllrMl6Pr5zaJgCYWO7SfGCQ5GRY/YKNmXJF1SAiqHvbG59Tq/V+TCJWSemKJ4xuXIM8YF0KUT6I5Ga4N5bb18KK24iV5PHgx/8YEP/5ptvDigzwk9DK+qDndTCJQuUoSHp8KR0kcyvUp6o450kmI5LFjbd0EQkb+IoJkIZSfjhD3/Ix9chkmvAWSl/dIOonZ9wFTp7SIhd9wijlFJnEzkdgBCPCTyTh1mA+93vfmecccZMEqlxe6FATFFCcgS/67Ta8d3vfjfPAXepO5Mjem5ZrYSk48wgcOyPL3Dd+gcw30KR46YJRY4bWxJrzDRx/YpSveXQd0Q/3GOPPdz9ph+Wvc6A4Ciqs3FxfpQQK+hgMzoZP3z6e8cMnXEt3d2WxxB1lOHOKs6CS6aq4JF2FICRFqS4293uxuyM7a8lS5akWFoA497666+fRe3uMFS6Ue/e9753KkMjIHvMxxxzjItCtt9+e/ZkuqdQvw6EAhgQJ0oqedOykLGUOFM4C92q1yQVLKdLnRAjYK7Uh+41lb7CocZEx7+z5+vbej5Ri0EADxJa5aEIIYOAA2mOmkgvFKgY+k4q6Xwe3BJeHDOBmHem24+L4Kn8a2li4FtvpYJcOaRKJs2GwOqrrx7TqjvJSFNSamLiDBNXKacRVyJZQRzdT9GKOEGfeGNj5ilwdey7ORRSBBwbJ5oYHL1jENcfouhXXHEFDUsSEQ9qM6x24oknImbQkPDY7QyaY4b1lJ3lEHWCTIoPer7rXe9iWs74OMP0a/SSAtHKfIKzOLAGDD2bcmiZ4OuW6BlSNtD4Czk034nF6ASMbsmhoecbJgC0761tHR1RgCuWXH3AAS2JKezoDflB0jlxmlDdq0IUXS7wVFO9BjKU6Y2eVh0m7IE49mrN7BINQw3PWXoUPhYDBr2sqbwcwHDJyLLLLmuvHymYg/z85z/PP2pqJGTbrsciEXYC0BtttFFsJVmZWIcQSYi+5557Srw/Izk95l6DJQWSJXWzmKfCtl3qcmTIYTqyMJGp4YKDnuQBBxwwq9OcnhyTEVKUPf+nP/0py/2WFtHzt9hiC3tBQTpvZQuWHyaJFnJeFUOPfes//elPN8p7wDti6TXXXHP33XdnREzF2HA9+uijzRCY0ECAtcxD2NIzkGpngsHtpEHsso2CHaKB1K6RiKUIoBzYxeCF1E4gAda0aAxhDnLNfDxlHxqGQ8PImjDM3bk0XO0kmOBDPtooVf3ZHwV0XU8jLkEmJVpKAg3/kfp5xplnBr97640Miegb2ByD6yebbrop8EdjEst7cqcIh/o5w4qgGABh9JCXpOTiglKnlksB8AyzmFZ0O0I4MZa1GBBLugebHpRCkiL3fqaQppbzDDvvvLPcHS6kBxIK5arJjMxTnvIUt/lMq2A1cB8UmODI21kyedP2JtnQCO4DOD2vYIOaSadLLpOCO2iz57tc89GPfrQ+/7vf/U5SIWKbbpo1fH8UqBj6TroBf/YHXcFl886W/dZbb+3EjNtJ/PRwADfeM3+ksu32xV8zxfy4zfbb+ds2cn/2s5/t5rmJsmxP5dHd3d4u3WXRljDGY2Eak2vc8HzEEUdssskmcK0axgzq7THBWNQapMypft5Z/75cMa3G9GxvS1WYiEK9KHOzZmPyO4iMwmjOrd1NpdYqxiw7aIlgOEBeKumk7+5YmTmG/tznPidNDacpjIbORZF2cIcw7O1vf3tfTVQjdaZAsICu6wlGsKdPiXattdaatd7bYv1tt99m4m/bCd7eYZvtd/S37XY7brftDtv7b9ttnr3tNs/ZZpvnbLs1xw7bbrPddsIbCHbcevsdd9r5eZtttnks5HTFZHmbUdQq3KSD9UBbPG4eBQFxelReHWc4s4qOYh4O5OKQMkVVZphjnJxV5saMGsWIlywJ8rr0h/HgBkvCE1a2LGT3rsvBEB7WtnaiOQBAOx6dPcaOUCnUT/+BOzTQwNMcuwR1qhY3TjzRwSxpVl555cc97nGzxpI9dVvdzxMAQElMxE984hON1RaQ+mRPSfQbSL7tPd+6rr3nO8vBVM65556r3YN6Y9cBxrHAFUPf2WowtMHUGK3XwkwcHnNSvLHKHD477LgDvlUqbKx4SqUwCmbrFozDzDC0dzzmAxJoJrqe8IQn2N7NGppZAysYo8yvMSnm1z4cGFWaUou41DmMKSa2KOcckmsmWbdafaIPSERFUNuDzqp2B4Hv/P9BD3qQ+/+crBoIht57773tKRO6kG3bJWejIwhLPZrWaXlm0dROQjPzJVAfjT5voui9WEDvDVCoXuhpG+dhD3uYpelMutBUca1+40/AZ++4I17eaeLNffuP5+64g7+ddtyh5XX785wddnzO83Z9weZP3YIRSegZdkz4aCGtH+6zzz66ru0LdcnaqSC3qnlm0nZBK0lFIuEwZj7ykY80NHmwyR1FHfD/ExzZWs1yyIhDXrvtttuTn/zkO1nxDhezJAyG4NYeMTSySE1sa1eqce4kmgmV+otr64BeSmq1ZiKGAha459OTVevo0BYNlowzhQCrJdOAe1XPyekeJlwdT4x4mxdMc+Zc82z49JzY9AJGzw/Oyp7Pegzp2B39/c7/11hjDQKd733ve2ibfNqRztVzgBSoGHqAxJybpFKXw8LUSpRECo/F5tdmm21GlTaMshmeEu9iMCqMiX37LrcU0panc0W4l27WF77whb4THOWIzkqG/M+gxQE92yw2W5v57AUzjDXDHW0NZFMehnPamgpH6rV3pAmhI53sVJsWRnRK22B3Hw+lw0Yuzqn0kc6cR2nUovtPXNBgAfO3A50N4wzdExn+1zNOP10PBKG97TgRu1JgeOc734mjbTrRpz/77LNDQTkqaLWsbwyknMhVUsxKj+447ZGBJN5HIq6SSQSBFFgSbg6VJ5s2Pd6ISfsZ0xF2ku2BIPTL//SnP/VRmJlEcWW9DZBykRyp2ZiC0ubT051K7SxpSWO5GLiwe9whfzXDmnBn9SRAlxpR/c+eT2RmCa3nH3nkkVhSLEw6KJbvUob6KShQMfSo9wTDig1ZD67gNiN6e5QbemN5g9gs2Il6lk3MlKPYmN5vv/3e8Y53/OQnP8lK4q6UukmTOz/NxCHZJUuWAB+kKXNuh2gmFYm4IQsJdwxGF198MT0fQNlUjdobbrihc4RJPbbtVlxxxaR8fwUAQGMuJ/Om7mbB0yUdI7gw5UAZurz6QB9PXgWfOTIr3kc6cx4ly9+LAxOViFAUDTr7Zwp7KdqkYfRDp/KBxZBAQ8xmU8WOAcHRK8eI6SRAY3yMAJHQQObU3MXKwpGeOlZF+D0EJFHmHt2elUk6VFazwZJ6bBggClI4FAhDW+FnaSdzuGAVR5M7WElSsCbytDoNFbjJogzWXzMRKzKdOdhkxzG1dpYchTOFKKnLRa9LqupsMHToH6fnbDjaJyN8p7fo+XGmMA4Wyxr1zOkhKTMCNAa32ShbTRMFKoYej26AkfAwJsn5UrmdcgsAbV+JbTvHddO2nWDUIikAQH6kpALz8Y5EcJcFKzg+88oTP0fKdpCdXqcME0YrMfPME5+rFELRpcydlavQlgFwTbSExAapNCvGKjYMPUM5tGRJXLQXExy77rormfS0JPr6hgKQTPfxtEMNVesjnTmPUjbZlO72CVtPHnEMTbwaC2Yq8tS0yFBLbV1H36jzMkkR44ADT9EnB4KhY+hAVanF0AGyw9COM7b3nymJP90AxpMGJjDUIAWupAMK0Ng50f0SzcPQPZ4pdOqAboz9uigS1nZ0GIxOzYoET7pHeeYB9hUmRr+I62f3QQChSlqBOxIBiQzjjkKq41ydUZtuc8xS+HaWrBi6vefrsTEIMIT65S9/OQaB6Dn6arCJN2LOUjPVZEsKVAxdUmMU3TgBF5m0sIeHO3nD3r31KORqColNnKgA/vGAQbQVzbXOzvPHYxFRIlLzVZiZVFhq5g9zgASlg5PpajP87lyOn+XUMpNchhw3KhWF5w6soAw2VVHyAx/4gF1FM1+UyoQdJGX0nj60KXwmpYUJCDZsxEtEKwPr9Aqc/p5JmjVuFwpouwYLaPcRx9DWV8whWxunwcqoYHRUgMPGFN3NMCuhdrheL+XwZL/tQpMun0K+JQC64XqORYsWYQorPd21S8QZfpKddlF+6RhqshYumrHrZe+r3GdLDGotwVJBL1lTP9PoLOVlYBre4tLE5SM7iwQFgI/BXCcf6FlB0tRImMOn+2EEtjkgX4PAIYccAtbQs8o7TTNNmmA2EOise8NADjP4ZP+Kj80EIN6yed999w15R8ZaaI52llzIGDp6fkxGZc/X53UznJ6DgK/R8zFmMKNYoi+0/jMn9a0Yek7IPo1McYJZMGYObhyCYTySwDZu0oq0gmH4Y574yodsxnEEOrvCSCT8vTO1iDWN0hRBxc35jLeJhCr2mWeeGXC/CDhOzqwUKiF1TskWBhYJjZoIHCQlh7a9XkoEGyGn/Ckdoi+KrbkWgpbMrKmb+9nPfjbSt14y12rTLNuUidcAHSmg+QKZ5Ve8M+IYWvco8ZkqKLxaxFLW27KZUDPuOYp6WS1jyXiypn04MDv6eCQVjA8Lwn9MxwQX9JFmL1HUUaZCRjUDvvuJH+P0ZJlIsqSyMeYwZcHwNcTMEksuA6RvHHMaOzK1uRf2cD7xiU8AuBRIKFw5+4vlY81MD4opJyeA6bDJTjp2BRv2pEkxmK+mHyJNJfSV5ol9wii51JxjQdWyIgvTjTgNllzgGDoYTb/SLT3RKxYvXhyCqvjpq4fb2ywfPVlgxFyYvWjIta4YesgE7zM7/JAsgVWwFiYJbkmEzZ8naBWjv5w4nEehsMjNP1OIQhitgvf6LNMd0YLPCXKciA/DOr40hsI7wo7N/ygJfCBgkMhbjRCQTzi4TXuCqdJnPvMZZnq7b+N2rzlA4FQ1QX4GC+0Rypp8HHIi9JL1WWedRfzG3pPAC1xklYTq26EFG70UhUccQ2dlFTXYmaNkbTft0UoPe8YYM8IIMBCIJjVJ6efBFEzpMSGXRZpth4GOIoQmS5bkUCTVjHbkTpaEU2HoKYsE19LCIl3OkHJxTBMODh/SvtgaohxCFI3THYogb87wjgNSS7WlHj7KsPHGG6NMBqCwznC1iOnz85//3CEwulvhY+XM/EJ+XcgO1Guw5ELG0NkTJuv5envwAroZB0xGyRrIyDNTqI7Zo0DF0LNH20GmbN6igJvCEkmbOQI9B6vgGdMbn5xOwuFYob1FW4c5iWKz4LRBlU/KBEK2dF/4whfGuTrpB7AeVBbDTKccelQEfjU2hWe8tUISMwpGRuWKh1JXcroFpitiLmddISPSGzE3X3jhhXxovto75oCkia/cD0fsXW5hZ6zq6J0CWjN4JKOMPobGVjkIKK3yq0X0Rm/d1WKM4S2Qjrg6FnhqF/02qzlDh3yJw+kNg5J0r2eYWi/Ry/LLHUvm8BKf1JR/mRRF7V70oSlm0Kg+8cQTy7ivetWrCKfh9TPOOANLRsr22YQxloK8eewEza0i2NrL6EZa1/RQ/wgfY/J6663HdEkWmD8FaGpahx56KLfwIDtmzxQWskNrNlhygWPosuejjJ6fU098Mho0er4AYMBC7kVDrnvF0EMmeJ/Z4ROjcGDfgM7cHowU02p8jTmVfzhkZgwynVCu5eZJlGJYFwvg87PP0hTR5OXXySef7HRw6ArzST4vAo6TE32CthxWL+X8pxro5vEpsTUM7Z4zcuu+K2nrmXkBk2umwEyH2yuIr1xeCDpH4oCLANRA2eFShgxcHX1QQAs2aIjLRlwOHeNAVFbhg/uC99Nt3cXe5cc//vGSJgI3unH5tRe3rE3YmQhNaFaAaIuJi5KeXhLpO4z0o4IqgiXbG85XTy4blK0X23aoxCJHYuIonkESdKbrzFx0alz4JHHbemyHZy2sWGjOsH2UPlSwKHukLg3dD3ytMBmAg2zb8jgaCIPD0N/97nfLAAvWrZUbLbvAMbSekD1f927v+cg10fHvnHODTxdsFxp+xSuGHj7Np51jzltichvKgVSc4ycGi2nVO32CqXwNHwCXkgDRVEipYWjRvUWZdlE6RQDyTBL2QyPBKE9jKOwUb0T9EC2GLVXgQCs1iqHKT08E4PApqglDkyLPRA5Niu+mVgmWRCH6Iuqj1FFaUCLyJ9l6//vfX4ac0j2otp4yozEKoAUbvRSVRhxDR/cLIkf5o3Ny8wx+53Du0BHVOFkYgX1qVDb8e3+LHiJwOdoYcdAiYbpPUYDeU+s9ZFQ5KqsWnslYMj55S5zgYN111+09l15CWjAwI11eF0r7nFZGGOOPFGhlkDorrcCwuLF3pZVW8s70fYLa7SPFlh0VkTwF4RRjLJIz8EJzRCuXtV7IGBo1dOagCYen0fP5+OrhAAzip/es8mPZOtWNAhVDj3o3wCGmLoyhoN4xjXF4+OS8KJi5jSdHVinCQF2OptlwtG8YUUIULW4E4ClWI2L+zDCZbISPN/lonDePvc4I7J0CoTLWWLiDpKqvFkEEhI3BK3zSX3UiMAztfkFT5hAqyPovwZXplgysvJS4Y9YGVvvUEJWNCFO700sEYx1Djp0nNdP2I2XTqoXGTfaJiBp6xDF0VjB6pvJr4nBHdaJGTsI5BbH//vv7WgaIkBLh0I3DUXqmOzISJoLFz/jKHJB7ixnTDMsVPGXaiBjhB/KO9CUVhYmMol6RLx+fsgBBARs7bi0ZSAEyERbZYejyvg+yA8yYjO+kl595yQsOdeZbj7LkyEQw4GqrrRbKHopKuuGJr9D52WefnSEXoCPbOuu+wDF0dOayh2fPL9khyCWwJxihZNskZnXMBgUqhp4Nqo5QmphKaQhFdt99d/ArhB/YDBb39gSzJUaMoqeUWgCfJgL+0ytiwRynnHIKCTSTdiLyDBwfjhGiwkCLonaeMkkCOSeNZqLLUabW3e2Af+wmu5rYDkCXwKZ2N26w4OG4J7hj8nbPLEXMt7zlLV1ijfInXdCpAMfmaLMAKzM0/Ce14I6s8hhh6Cxzw5GVYgvCFSQOntr/FUaPxfLB9X6qKXc4ojMjhenZu9W57+jexgGLYWlGCt5gIvS82267LV68OKLHV+45fKLYZQGg2170ocsoU7rpSTs2neZ3UMmFLFtvvXVGdJTTYV9vRsfC4DQik0xjQ7QVDP52CTnVrKCwYrPpIQAaUurA0dolU1uAjuy9WfeFjKGTCNUxyhSoGHqUW2cwZTN8Ox8DRcFPJ5xwQiSaM18MW/ETXM4rACh+mEEFjk8mg/jZKBMjAGF/Ov2pNKRgJj3nk6MFMe4AGVGvYWJoAJqIkWSLgQ5zcBfCQs9ufy0DaERztguu6IeU/mPhpiAO/TN+TBPXkS9b5HGbT9+Fj55fRh93DK1bYvZgWPU6/vjjrTSigj6pXSzzgs0DQ+tCwvsaS2WBY7jA7Dwzqexprud0BYkNkPQRJRKJjObkrQBKW2Y9GxiatQ2i/cwFoZyijsO+4cmHXWq2e1mSTqhN2drJSxFf97rX0dwISzuZCENGurRPlKQ7DrAZciE42lmyYuiF0O5jXceKoce6+aYufMyOMcFQiYY/WPUPGZLIBv2UfBA4GcRzauTg4xGMP0ckEuHZRnVBAJkKlBYncmJKjjS5M52pizhuIdAhSJEFHyaGpsAAPcsxGy6LUTrsPNgjbp+V2ZmGoZm/DfFkGWXE3RZmJtSwn20hwRBKxdCNJgNBPDzjTWZ81FFHYVLAN3oCfoeV9Rzs6cHUWJUn90TU2w8oC8MnuFjg6O1SA/VQ/rTTTov0BQuuj5+Nwgzzp9I2WHI2MHR7Lh15EGe1+5NN6MCNQgaJkLGdT4dJvdHJS0dC5LI8FUOX1KjuEaRAxdAj2CiDLFKO+zE2LVq0yIVYjq9RJ42Bnn98Mh2GjzHdtGo489Ms600mHZ9isqQbwBjTK17xCmKYmER9LWdTwSQyyGqMUlomwsZcOEwM3SMltC99UFqhjemZ+gdrtQDo2eOsebnzzjtXDN3eE4Jng1XjjXMxqQvkaVuFnUTMjjd1YIF9DQAd2Nqn+MmBnSOYXDjYUWZ9YqeddioPs0as9mIM30eBGyw5Gxh6+PVaaDnqk5qyrHXF0CU1qnsEKVAx9Ag2yiCLZFTymGBMijE8OW9EUdKePrF02Mophy2BbfgCXjEHK4qZMgokGAMRDiY68w7EkIaGvygckYsw+cTX+fdGTE9ZrxHE0ESP5M0uD2/oTBNjw9Zs4rIEUlZhvNwVQ3dsL6yHcyFjDgGCMTnoCTAazVIHHQwBDAXB3bpxhPET10cs4TlCpwvvM+52xhlnGDEcSy3vFs4CZC7pM3yHAjdYcr5iaEINGwINE0CDMlQ684bTYUKY0l9S+lJ2wkihYuj+KFljDY0CFUMPjdRzlpFRKaTCZkr7icY4s+zHPvYxVple+cpX0pOOYcusaYBuL2VOTvQ33HB73/veF4aGzCJw3vwimGnYIBizeHs688ZHTT1ldUYQQ9N5sOHgMFMquEeBraBWXXVVVkRc1FJWobub0ifNEHrYprQIyQiXWnePNXtfK4buQlvsjDe9PZgxQjKbQ4kLyzNFjE9zhcwdg0MEg4EMDjkOMMGhCzF4TAWIf2YauBkXSCeTyq/Dd6hpgyXnJYZmdprl7+WXX94VjGeeeWbQWctaHTVQ9fCb4KyzzqL27XpIe1/OLVit9VGGiqH7IFqNMrcUqBh6buk/67mb4WKCiZ1ZP2OyAaZdOUuWzEyVs+Sbb765gdiJQ0PhZZddplhE1IZs4kzDIi3qDTbY4PGPf7xruphEZdwjQbnEBZaseTdS5k7R9axXby4yUM2oaWY+ghg6y9ZwnHjiiYTTrjIGnhqfOv40q5kU15p42OTaZJNNHIpiEIN54Gmh8I6J9+1ZMfRkpNNeseMUbBhgV2A/bSIBXoxLMEhMIZ4ulptErKXZOQnleG92PFjvcYUeU5hsUHizwmGgsFSWgnT0/EDYfgYXxPCSGU1WsFn1XwgY2iYA6GwQ3nLLLddff/0NN9yQHQ9CDZdb0bSZVfJ2T9zWFtNM1tg2Nk0NxOTupnHheaJ80fW9JUuWdE/HV70oJpQMWeXQSYrqGE0KVAw9mu0ysFKZ52I2zbGpnO2Ma/AflOwgOahEUmWK9VCYpkP58pe/HGj2hIAB4AabYuKUZoBmYDomMLiZ2zszGlgdRiwhFAgiZLnGCEMzjUfHg0HrLHx3B7GlFdS3vvUtU6NZnDySXiwEBml1jzirXyuG7khe3RJjYsB4/AxQ4meG/+Y3v0m1gyliu0nMROBuAAizwz1Ezi95yUuspckRQ5qonzicKm4ki8EDoPORePA7N64vR5XMa2gOFWyw5PyTQx988MFOs8Q95yCpDSV3IgLTpYb60AieGbGW8+QnP/lZz3pWeaGjrzjUVVB5AeT73vc+y7OMNZmjYujJKFP9R5YCFUOPbNMMrGAmGLNdY47hWU57pkbCRVIN0yfVSWoALDSZR43aX/3qV+lAl9OwkknQ3q4UIGkzqMQFkEhm1MhuYJUZgYRUrVG7ccHQJl1C6P322693KjLRlfoAEUv09773vb2nMBshK4buSFXdEtj1xozRRcMdYLfkd8GAMPJLW0/MFbs5j/mOMMoGNztvmko7MhIx+DoYnE8kjvEDUkutTLxj2WbVM+ubucwzDI287RtHZBxWPlnl4Tto922xxRbOKLfLmAlcXHLurVRax6YHpcEpS6iaApfBqhy6pEZ1jyAFKoYewUYZZJHMdgYmD7DrXSYdPwWIKTB+2rR1OwCLdddcc00ZmFtIs2bpGeOdiKZYs2l+ag+Zn+aBQ+08ZUXGAkPTbbU773BY2VJlLaZ060LuHu992tZb4O9enlx6TVmGCFAx9GSECmb0jieCafHgXJ58Gr2Xj1ODYHSiNANCRNTi4kasBMqia6/wNAJo3wg8h2/FaFRqnmHoBm1pPzM4Tbjb8O/yU/P1wokRRvs2sGzHlO1PLrPMMvYw27+efvrpK664onOoPp155pm0g9rDtPvoVI18K4Zup1L1GSkKVAw9Us0x7MKYeGLM4ghoxQCWK/eMjO7NUhr+DqXF/CRkhInpc9hlHZn8UCMIkiUafQxtp5Uqs0u/y5NhWf5eHAAWDR/XUvYSWBg3wNOZZv6ll4dSPkzQmD67ZFQxdBfi9PIJqXM9TOrMaJ0LmGjpUBIQPaCMTh6c7p1IupfEhx9GdRosOY8xNDGHHUJ7Sr3TGXO5yYXKMkbr5aEH7yrQvCamY0aUu9y247wpdY72AHY5YGjp+ERT6KqrrmoP0+4THa/0rxi6pEZ1jyAFKoYewUaZgyLFZGnAck7l7ne/OwxNUTJ26MxPKSYMlGO6ItUI9xyUda6zVH1PWYoRx9BWQbvvvvu//du/pXyxLHwvbhCc0vyXvvSlXgJHGOYChKcE2cvDmvVPfvKT3hOvGLp3WpUhExPrwOH2lfrWXe5yFyzPYItjxBE+Q4Layf5lUiPlXjgYmoYxQIynpkX/c84559hjj3WGocfH1bMOCGr3LrlIcLnllttqq606jioXXXSRcxdW0fTvG7eldklTr2tMKxVDdyFX/TQKFKgYehRaYc7KQLxku1b2MXKdeuqpD3vYw+51r3uZUFdfffXcK/Q1QHM4wt3AkXNWh6Fn3ELQ44OhFZUcaN99903MhGCk0b0bw2Im7/DDD//+979fUhouLxMsPw3BXTF0f0TWZFg+YQreZ6OQEBq/x+PuJEquEg80o/MEy/eX3dBiKWSDJeelHJro96CDDprh9ZyDahSCaksvOvQdE4ShzSPM+ZDFpI5Qx5ClZ/S60qdi6JIa1T2CFKgYegQbZXhFgqVigAtY/IY3vMFUamRkgpTD5JrWhU1REYZwIufg4RV0lHJCCk9ZolGWQ1PAMO82CuzcGCXFsgqTuSEq+o50qcsANnlhlDnsBhVDl83RuxtGofCKhTnEgqcdKFx77bUxu2t3iBWZHw5DaQKQQGe3ifC9ZzTkkAsBQ1vtsKbSsLusgRxf6a50MUttQTHMNCH3junbhqITCENT6ugYoKOnbtYYVSqG7kio6jk6FKgYenTaYs5KEhMkITSFuRBCU2UzPrIje/TRRzemz8bPOSv03GVs3vKU+Y8shmYNmnJOWdRwOwxkkmv3b/hYNe29994C/+xnP8tP6u6yFfYc0mf4jl122cVd36l40F8B2ids9b3//e+f2y/9JTv6seKkoHIC0+y+hwQahrb5zs2GWlQhOZ0DZfLnCFZw3mPoOETI0GSD+Kz1M03Y8BzOT8cEoWRDX8fsyKHNIHQ5On6dzLOdJSuGnoxW1X9EKFAx9Ig0xJwVw7AViJClpBA/x5wab5dxKJkAJtFwREFNWnkmac6KPkcZo4anzHw0MfRpp532xCc+kQ1gqIgoOh6GNShG02Kc8nChJjZNshb8la98hTq1o0ik16Cz63hsUMxt6zO/aP6uGLrshFO6cXpIoAMNszRsh8GaAafbeiKE9nDH7TnB79LkILquZwqnJO/sBdBeBmeHAlnuZySOhrHbcP7whz9gRqblXJEze1l3SZm1eGcKKWe3h1Eky+yVVlqJ3egYKlkZ1/faQzZ81LTKoRs0qT9HnAIVQ494A81u8UyNHqPbGWecQepsBmU/mL3PBz7wgfe4xz38XHnllRnocKmhchgNBY4x0bsx2M1uQUcpdXX3lCUaQQxNfdlGqhbs+Gy22WZl+Tu62QV3j118crp0o4020jfMmvB3WG/oGGv2PIF+55yOO+440zbkB/YBEC6YgOx7kam3F6x9woYX57EcWn3LfgvWrLvuuroH6BzMzm0V7R74VHIlsfaIJW47AUfHx1hUVk3B5pM+tBN+juUZpfXPV77ylXjQ2vjRj370Kqus4tMctoIdqoc//OEJ4q21LrjgAoMGAy9GDHczuWbFUs09l1SGdKQpi9rOklUOPSXRaoC5pUDF0HNL/znOPeRSlJ7JOeImZ1cVshQbMo8dd9yRJwFk3FVmlkoVSe6KobPxRhBDM3PhJhS2nDs+toCz8JM5HF0qzx3qA25MAKx7mQsnS3Mm/hT3jznmGNMz7ZSoFGBhwgYjXA/UR8rtE/b8xtBBoqi1xfAXvvAFoNmV0eDmbrvtRpHDngNJJyUZdsRZYjE4WLd4ixgDRR9EHk6UeYyh3W9VGmBWU2O1hgOjTz755OGQt0suhj6K0XHVJUhNYzuZ0QlIOldMRNsHA6O7JJKf2lmyYugkTnWMJgUqhh7NdhlqqYiZbRG6fYOc77e//S0jDEbDSy655Mc//rE51cY9oUKjQBVDlwQZQQxdFq+6O1KgfcJeCBgaCLMShm8+9rGPuaWZxjziUPu5733vy/HLX/6Sqs+zn/1sR8EMCwiCSpjdAsa7IxlHwXMeY+hRIO/QytDOkhVDD434NaP+KFAxdH90mz+xTI324JzsNg+pFbhMtkcaDUD7aVCje2cq5RYytGB5euYPCaZZE3TwlJEqhi6pMS5ufTj6fBZ4IWBoXTeZN7vxhz/8YUosxoEkRYif/Wyx+sSTn0bQUTH0CDZKH0XS0RosWTF0H2SsUYZJgYqhh0ntWcnLuCNd06H9WRg3fvae08T8eKei5G9+8xsYmjnhwNCNdKabeCP6fPqJFLQagiBEeo64hZXAoGd9jzgFdEUsAzVGC2IcDx/KSxRFRrmjKnCsaRUS4FDsqEIvZS5Dhjsgy6JFi6hBlxi6l9RGLYy6pKKRo7TrrLNOlFBN6zP6FNBYZQuazviYjyjr96J7Nqu90cjgKbOg1eZ8yJycDCmLUd1zToGKoee8CWZaAOOO8VEqHPg8xkqOnGi7ZBCBBYgUOAwKXTB0l6QWyCeEJaIL2nqjuYo71gZDz4mV1gVC9oFXU9uZpKP5wNCYsIHIBz3oQSNu2y5YO7ge2/oZxFEjTxdCRddNThcyo3/0ox91enhMMbR6RVOqDgpEmx5wwAGOu5WV7UKZ+mkUKIANDa3RnzmCJRcvXuzeXKZI5raEShUFy2JUDJ2kWOCOiqHHvgMEe5stPOYPP8NhGOLoXr1WnDvE2OGgD10xdBeioRKoEeO7YIjs/clPfrLE0C2a1meEKaDJgK1gEDM34WUAL2coqTSw9dGlA8ztJ9wdPO6NwArjHdBZRTxdiiekABkrxg1vUWhFjzWGdvYx6x68+aY3vcmVq1HZoBJ3fUaWAtqo1X0n+ifGzC0+RyqJe5mN6tKxh/ApmKXMqGLokhoL2V0x9Ni3vmHRJGr0Ma0mGuCZs2yXGsaQKoAxgpujYugu5IpPqO0Jd0zYgaFDlyOhSXWMMgWyKePkXPwExe53v/uNshwaU2ff40BhPjoe5g1qR0WmfIsFqUyAlhbsHnddjhj9VAQdQp0j5NBBh1Huh7VsSYFoLE2JJXnGfHTVVVexYnn66afH17l6RyHL3CuGLqmxkN0VQ4996xOLMk4XAtHpVsY4FUNVjlkVQ3enIeCCYsiVUEb40OUIDN09ev06mhTQdm41hyxXXXXVUZZDT/Dr7ZtLEL8lHJ8U2k1J22D26MD6cIan0G/xMI66HOqSLKn5skYM9tHlyJ/VMXYUwI86Nn1ouhxVDj12zbdwClwx9Ni3dSyR460yJhKTq4fbmr6cKduragby8BcsHBVDt1Op9EHSIJS3dUvKoddcc80yWHWPKQXcLuR++5EtvF4HMoao1VtvVNTgfe4SRLZXQdwYEKIDlwHIod0qN6YYOogQdEiWPPjggzfeeOOyjtU9jhRwyIQuR9WHHse2WyBlrhh6PjR0zKwxl3ADdjHLJjKerJICe3zNkBVDT0ar8EcodPbAK/HwP+mkk9x64F4ut4i5AeFl9RkHCmgp7eVOPsbRGUXmdluEdhxlXY5gVd0vHCCjhxsXB5LmnuwRRo9tMfzEE+FjOwWGXnHFFccRQ6usiiBCgyXpQy+77LK6oVb2jEN/rGVsNRZmDJbEj7jyuc99LpasGHoypq7+c06BiqHnvAkGUACziNmxTCjgHX/TZenfcMdsyjNDVgzdIFH7z1iiBBwJCHL22WdvsskmbsN+0pOe5N6K+ow4BTTTU57ylE033VSrhVuBn/CEJ3g/7WlP+8Y3vtHe6CPik3ya5YmdED/bP2WYhkPIGB+8A4JTRlpjjTXGFEOrHZEBOgQFgiXVCD+6zK+y5IgzYxYPM2JJjKnJgjGxpM2EbbbZxo0/jT485J+6lqfMtOpDl9RYyO6Koce+9c0Zbhe74oorbHu5oddjRgGOvT0Nzm/UtmLoBkF6+YmksTJBeRfQBIjpTudekq1hRocCIegdnfJkSXQ5TO38w2WXXcYMpesGGf+KM4XK3GOx9VXoueyx//M//wNxSjkzGi9HsiQK5J1QwaTjVZFa2o4U0L6xNOr4dQieCuApM6oYuqTGQnZXDD32rU9s5m5e6oysUz3gAQ948Ytf/L3vfU+tEh93qWGGMUDElFPl0F3I5ZOhPAfTpF73KPXryFIgJ2ZtGgDUG74c2QIr2J///Ge6Qw9+8IOZU1xhhRXWXXfdQw45BHCcssy6a9Y3A8cK0JlChrHHUQ4dlaosmQ061g6tmdynr0Z3tVWS7TtXtVOARhkqhp6rthi1fCuGHrUWmXZ5Pv/5z9vzojQWz/Oe97wf/vCHUjEe9Z6WwDFGEG4deeSR//7v//6jH/2o9+gLJyRCeRZOfed3TXNe1Kbh9h7x9rXdxHLIHey+DMtfb3nLWwDrKVtKvRKgROCs9XHHHTemdjlUZMTba8p2qQGSApoyWzPdyaQZbPgOZWgUo2Lo4bfCaOZYMfRotss0SkWL48Mf/vDrXve6//zP/3zta18LUv/hD38Qn1SpwfZdEjVgReDf//73Rx111Kte9aoA4l2i1E+VApUCw6cARY7zzz9/v/32e/3rX/8f//EfAPT3v/994mTPlMoYAVASncRPVTj22GNdLjOOcujh07/muAAp0ELQVZdjATZ8D1WuGLoHIo1hEBMqLcmG2KlLPUoMTQ5dMXQXWtVPlQJzRQEc3ZjLsyRupvDkz46OAM1SCEeJoamBVQzdkWjVs1KghaArhq79oBMFKobuRJWx8ouJ0OQKN/ddcInEGFHl0H3TsEasFBgyBXA92bMn0XD3AkQw73REeLocFUN3J139upApMAGh65nChdwFJq17xdCTkma8PjgLFcfzTaueKDzPxup5skqZUyuGnow41b9SYHQogFWDwfPQVTBvwOJeyilkBI63KDD0mJ4p7KW+NUylwAwpUDH0DAk4j6NXDD32jUs/ElY2HeYpZg4/J7B060qFXmooWMXQvRCq9zAOZTKZcvbZZ59xxhlf//rX2R/sHtcOACjjfrV3vetdn/rUpxhIEf5rX/taucP+pz/96b3vfe873vGO//7v/+Z485vf/JOf/KRM9qKLLjr99NNl+otf/KL0//GPf6wwSnLmmWfqMHrIueeeq1QuL+AZUby5+QjJtIsuocx+Su2ss87yNQI0Ui5z+fKXv8xGxAc+8IEPfvCDKsJGr56ZAZx7k4ICSFAW3/rWt5Qkv3L88Y9/FEBeEeDb3/42CWsZwMW/EUAYBeOOx/kePldffbXADsX65Kfnju+n/+xnP+uREcrsRtYddcl53U+dJNi/lzIL7xEyWJ5Dx1tttdXKntZLOqMW5itf+coXvvAFnfCLX/yit8fPCy+8sCynDql78BeYRT89J7fvsIOjINhKv2XnBOuRSpRxmQ098cQTdex3v/vdJ5xwwqWXXurrl770Jb3UoRSpcUfWHHLHKUHnTARbCeZTlpDbCZbPfvaz+vxEsyzV7T/zmc9ECSMdgaNq/LGt1HD9aaed1khHlFNPPRVnZY0yXw5tjSPkFbEkGKVFn+wGOJRnPEIaDTomlckKuffee+fPdFx11VWiK4/SlhRQfSVUcrkjGvZXNT7SiVJxBGWE4c+AY6Y5t47ktSxGPVOYpFjgjoqhx74DuNY7kIrRCqsbm/zkjtsTeqxexBW46nL0SLEpgznpxX7Cfe5zn8c97nGf+9znrrnmmi5RPv7xj7vdA5RZsmQJKGmONE9/5CMfeepTn5rIxpz9zGc+89Of/nTOeea/bbfd1pSfKZulwOuHPvShq666amDK+AQ37LrrrmuvvbYsaM0Cxw9/+MNf/epXgwInn3yy+8DucY97vOY1rznllFNcWefCtIc85CHw+pVXXnn88cdLiiW1T048cXr1hS98YePWA/3njW9840te8hL9J3LULeHp3Xff/dprrw0fEMS86A4FeR166KEmy4b+LogMJTz2sY9ltU31TahZ90gBcT760Y+qHUuO0AxSWGwg3dve9raHPexhLjYTTK1ZavMT5QUWwIG5//qv/1J9LRLpjO9b01sbB7d6pyPWRT3WKyIKnB1Jr1h99dUb1O4xtdEJBiPus88+yy+/vJsmLdWgSf1Zr9b0icZQz+LWQUzB9Fgnp2OcBJ3f+ta36qK6K7ZyzeHjH//4EkPDTG4AwVxscvPHQVhDx8O2hly9Dh/hFAwra4H1ZCc+99hjj5Lxpaxj695u4wOaoXaFNDj4+ehHPxrHaQKGup0Oxx2qc9BBB93znveUi8AgqbpgH1WAzjUZY6au8RNMOh6w1UnT9dZb7/LLL29vFG1tcDjggAPufve7W4SLZZGAH3HN85//fKwnCn5U+K233lqm+Ou8884r18DtaRo3mHNhKKbxSZVhYkVVQgnm1wsuuEBN+WNtnVD6SnvMMccgl2Dbb7/9ve99b2S09NVwW221FQJm3Ll1oJ6nLEPF0CU1FrK7Yuh50vo4nCDKYxT2NkIRIXj3WD0hY4yoGLpHivUYzNRo2ugeOHBhw5ig5nvWs571qEc9Kqaxv/zlL67vMvk1kjIrQ8NkV+kPBBxxxBHgMiuHZQdwGYdZP4LJy8ScUczQzDJ897vfTR+zeMIOcxtkkJ84iOKk//Of/zw9Dz/88PXXXx9uTp9wiOv+3tJTvmbKEp2UX7kBBTLRxoxVhoHLH/nIR5Y+3Jdccgnon56uC0b5/MkBJAHfP/jBD0rPsXNjbf0BcWKdnGwLCAbX91IjsTxCSsfDYeFkmTTuGFpFIBvrK52hpINub2Gm/6en/n/f+94X7gwfclMX45U2tvXtDTbYIHsppOsexxIORkRrs0c84hHZ7cFf5vkzFw6rTXxRpvyrX/0Kqa1Fy2DcYP3FF19sF6VkTEiXnnrJ3YIFZsXmTIMfeOCBjXSsH8iPG575U/9fZZVVzjnnnPTRE57xjGdsueWW0RP4S1OmWakM2XBY6ltpCGkp2/jkp/5p7QqdG8GMXRkAYa0u4mcIofOTJY2FXK6rzUQlKTLYnDgmGKVi6Dmh/ahnWjH0qLfQlOUzCIbaRoTE7a0ZcunSwF5TRo8AwscYWjF0jxTrJRgBlSnkX//1X7sENrUTX0F47WHIachsYjv17W9/+1prrZUTTBn4BS94QUinwtM0TJZjtzSEOhlSRjl7mUQFyE8gAnlSCRFMb4npt9tuu8022ywDc0iKGI8hxfAkdoJ6TZllmHDbzPWJ2kZ+IpxeccUVCfzSp+EgHUeQLlO4iZn4Kqf8jI6G2ef32msvlMcX+VWO8iUXTJ+xdiSGjjqihs7Wfec96zsxPDQxtJ2HeYChiT/bMbSK45EddtghKcA4YImhQVUgu0E9AJFgWBRMp78xHprR00EmTWqbOy2uFn/Ri16UXzlsg9zrXveC7NMTs5QY2son8v3Od74D4JJn0+vIwNAwkFqyj68h2IbL11lnncTQukGkY1FdZpdJhcNWDAxdrpb5E8BjjVwSk1VbUef6oZFC/iTGlpedsZKw+VVvtDBDH+xvcyD9baaRl8dPg4xlQ356wxveIHAOcXqpjbj8OrcO/OUpy1Dl0CU1FrK7Yuj50PoxKXpHZWJcLgHElJUUN8YIGDps2yWEmjJuDTAZBXrB0KQvpkmTTXsicCQhrm16syNx184779wehg85kHkaLIivMDTBNjd5LbmOBg1/wjbYOtymUirC4fZux9D0pz0RoB1D28hedtllXcQTAWxPw+sUPzLBdKgCMTkdj/QZOIa284vO0udIgV87hvbJHjr8nSUZR0fIoZU8mN0bm4cEmtvTS6VweoTkiFEC3JnfGJp+LdCcY1oDQ9tygRo/9KEPldQDEENfn14BiFkC2TKYraGUs7ZjaNpcUi4PLTQwNGWSEDOTLhNR41Z8mum3Y2haHATAAjQwNP0N6wf+MCjl7Eyh4eiIoWFc4DUOYAjfC4bWcwLgeotrQGhkhCXpvfA05kDtuWIvMTQAnQwrZAND8xmdXSP19ZR1rBi6pMbQ3E4s2DPRRWkDmpiMWlatNppoMa255prlkmxoRaoYemikHl5GuN3U2OOEGsVqTb8TE7BBnDyPklxisuGVe97lNCWGRnNbvRSmGwN0UoJ0SlOaeGgo0qBI/9JBXA3COokYnjA0XUZuk6INaFoN4V9i6EZ27RhawTKMoWrzzTePROL9nve8hy5HDlgEUcB6OR2WgcmwBU7t/EFh6MgCRnfVSGDoMlMYuqHLgSZ0OdCqDDZ27mDtsthlS5X+Hd3B4z5FOvkT3KFB3k7GjomMsudkcmhCVvrxiZIbGFqNqN66OF1f1T+JpVO07JO1Ivxt76VjxcmqYx3ia4mhUdiZAWoSzteWEWFoJlDkIkEBLJKJY8sApbsdQ+dX7IatDNRLliyhuwJDdNwIyvDhaGBoqy8Ink5IGbcXDA2mW1pI0+LfIqFRR/6JobltxClqLOZLDB1Fync7hs5Pc+7Qmp6yGBVDl9QYjhtX2kp1MMccp9vT+ttzzz0tj+2ZYCVLwRQYDac8kUvF0MOk9ujmlbOpOw7ZVaBaarQd3eKOScmmxNAkWGAuvefuFTr77LNJmhMlNwLDss7u7L///uGfGNpP5+18ikmanDjl0I0U2jF0GYBOM5RPYEYs5GwiwRvYmtY59BxqoLaVJ9O+eM5znkM3Iy+jnjmGJl9/4AMfSLklRBEuum9MbwpP8k31BWLWjemokF5AQilZL2u3cNxaKgnFkXovgBSWt9ExjzE0HQnaR5SJo7nbMbQ13tFHH00H2nLUA1ZavkZggi6oN6S/3XsLDE2v2hlB0zxQC0Cn5DsjwtB6r7n/pJNOsuNHs98Bu/zacHTH0Hq4I8XSIfXYcMMNSxzcSCd/Ygcydfxr58HCyQ4SbZCGuLcXDA24pO6HI5tOW2YW4SgxtBEJho7NqIqhG4SqP3ungM5jssttHwdqnfyJLVz869DtZHNQ71n0EbJi6D6INt+imFw9USsY2v4j6UjF0DNv5l4wtN2obbbZpnte1JfDlkXHYAABLQVSnPhaYmg+ICxtCju8YTqgYwq9YGi5mGtZ5qJSAr9mh5EgbWwi3lJ0V+Zi681ub0qpZ46h6baC7IZOD5S82267hSZomWlgaIYIFBtGoQbt+FeixjLkwnFrshJDg85Rd2LUeY+hbcJYhdo/iSq3Y+jwRyIhKUdtvPHGEGqItZhvo42AfabsKqUcWp/EJgTbDdX/hi4H1sujjcBBNlDk1R1Dl/rQlrh5tk862biNMhvV6YtbCfMHOxrZReCOGFp1citJ4jTQSARpNlPS2Hfffa06ElJHIiWG5mMZ78QF5E18aAyJMI13lUM3CFJ/NiiAB1NNH1w2rTDBFDORPkmhaLJu30hnsD8rhh4sPccyNb0wOqLSVww9wCacEkObwxx9I0NK+jdyJ/0CcWz72mjuaIpVeLuKEHZoH/rZwNAmLXIv5/8gzth+bWThZ3cM3dDlMENDzAxxZDpQrEk09SnTn0PhndZ6zGMek/vdHTE0KXWqgXY8U6hbps5lnCnMXIjfQm9VImmQoaHLoSHIWYkGM9bCdGQ30/FyvtE07Is5NodK406WyXQ5oEanDtIeRQND61q4pqy7zkw9KfZtbOaQ3TbO4WVg6DBXjyWGFkAi+IIRugzM0cDQGJwaNH+t4ABiNkpE6R1DWySntoliTyaQg6HptNjXivQ7vjtiaPotaajHUQoye3J6ntTEHS6EZmwKlak1MLRPNoJIo0UJve0ycLgrhm6nSfWZjALmNXNirAbLMA5Gw9n6v0nBqi9HvDLMYN0VQw+WnmOZmn6WXa1i6AE24ZQYWl4UMe0UN6bwLAMNToMCxMOwnRk6/UsHC1BkS6lc0cDQQjKkRaMD1pxMAjQlhm7Y5XAY/8lPfnL2GcIAQr7SAlcWD2KAXVLPhH9HDE2KZiaOWB0xtKk699YbdjmMlVESwChVS9vPFIoFRldRdBC5xNBwGwxNqWAeY2gm5+j0q3VUv4Gh9T0HUuNTvnfaaaewQGdtBvzZx8hP6SCdRboEvg0MTVWa8JUR5QzP0cDQ+Qnb2gDMn+HoHUNnRACC5lL+bDj6xtA0nnMRS3ukcWwReS2Vkw4y1ZeCelkAZKQq40m7HPkpHBVDNwhSf05GAZ3cQvHpT3+6iaMRhiaVvmpPxkFDX9u3KBvhZ/6zYuiZ03DsU2gh6KrLMQvN2AuGpuNlpzhPO5WlMAeTLkfTkFEJ1q7RCxQ6PEe9ISOajE1y+ZMDdKDTTCk57HWUn8I9XQztECFknOI3DtvKjje1pwxhCFle+tARQ7vqJeV8HTE0eJG3ujQwdGZq0EzNznYMzYfGy5wcOskSzrkj2VyXyJ2BwND2Q+YBhrYn027bDu+QsucRWK1ATbm0bQfVNew6C8NoXS7brM2odrSrt0HeBKvZrA4GlLbtrO7EMtMLYCVMcsYxmX1oiLNdoVni2Kfj6hTTdbQPTV/ine98Zxap4bB4sJzuLocO+9CxtxPRldmKIqzOyRdGz44UAdDBaqGkj76E9xu5qw4pOFXshn/8bNiH7hhmrjzxi6fMvZ4pLKkxEDfzNaybU9a3msrHTQXczgKlKpG8zHGCeXL3MgpgxnTQkJK0O4PwOP2iiqEH0jQ1kSkoYEDMMbHKoacg1jQ/93LHCgBtOmwoFMrHJnJO/BCP6dm8ntAnCmJwIUEslTXBxHZETkrt+LwjRB2Lb041BSaKbYRpv2MFHrW7HZkaqnQee2oMO8RFxBmd4Eq96NqmD4c9X3FTrY2P7Wwa4WlrL+5YKatJdOd4lnek0/GOFaMnze/YFheMPnTDLgdFjrvd7W7uQveVnnQktWDfmiwxgWUYuEPfZtwxNIjWuKeQsIpd51122SV7l35lIWrrRmcA2kKORQ7tVkL6CaZkky68i4MaBqHpQZFk23JhhM6qQ3+DvJ0djC6kq8PZ1D/sz9gzSe1/0zyTW2Z04BUUVozGPYWUoaFenRNTJGSXJsUJQmhlcK0gEbhzsc4EZ3c1VjTuKbQMVh6me2xwpxn4DM+huWEUpyrvcpe7MH1tRZodIIMptnRcEBiJQMbUnfUNI4ytJ8FcNMjOD1lyasXwNGXgcUc2MaCRBNbBhqppVWZZ62umz2FLqrFU0BWBb3Sw2LCdZTmtHQmty1hz7karBrkqhh54o5i5sImpRG/PBxdw6yHljIDd4vBuu84SAL3jjjuaKy0FU8oz8KKWCVY5dEmNBeo2inmi8hVDD6oTkImafshdernrm5lV+hJu7UZ/UIbIio9huiyMqf1Vr3oVtUJiXbjHXG7qYtOjBN9wMJsq9JVFbxxmosHcjqGNTWZcR+5ACsgYUCgtCdCw9NWVEPC33bFUuDSu8YQzZEFSHrMLNUfHB73Jq1QBnia7gkuyCgLDHEDGcsstR94A31gkOHdlrlVgatakCwLAvgqj/HIEWeJORGoY5maoPe50JGtkq04AIkaJMBUilt1k4yy1b6BEeFJngYn5owDQEjQDwcuIHYMs1cJ04PfEBAhr9xP1xh1DA3xwpCOkTuh7e/wsbTNra4wDGvLXUfUT6FmfEUb3AFt1S3MwhA2htlPDKg4HAaAEsVgbjkwaYkmZgtHUpeSbrCc7oFAs/uhs8SZTAbKE3D7hO45yyrfY4++JAApcsrllgD3rRjrCSEeUzL3s24oaFTeqKANcUoKSCAm5SkTZPOoS6bvVRZqx2FB+A4KfJYaGmCUofFBVNcPyHdoKnBogkYU6Ng5OKJhVh7ieJGAvVlDK2s22WyE9ZS4VQ5fUGJpb38an1mZ3vetdTT0Wvfpb5u6IucUY3nTw3d26w1mJVQyd9F+4jgkIXTH0gDsAMEqoQzBjuuJozCXtmZl4zN8O9Bx22GEwTUqgGyGhZGMEWQ4AbR4tBbpCEhQZRAhyvONO4IxurGmfmUzVALGlv3J6c5dTtdmRT1TBBFxWwQpBaYFUmDWzMDsa3RTM6AZhp4p2BDCiSQQ1JMgRj6mIT+hgGB+VQeHLAGZiPoHspS+Wnx4h70jjdGGUM5Q9CDMkGGF4lpt9AlhIKHPsqmexF6AjMTSHjqG/sVPejhoXIGVqlSsF2ikwAaErhm4nzLB9TE80FR2RJ3l585vfbKYgE4lCGMpe+MIX8vHTUO8cgsG/faE48BJXDD1wko5fgh0xdKqWjl99aokrBSoFpqJAyNW8YWgLnoqhpyJY/b5wKVAx9Fi0PdmNrRhyGZucdqUAmyEUu2LoIRB51LMoMTRRJaGUm6WqzuioN1st36hSwA7+cIbvgRAgjEvQsQlUPZA0ZzsR4iXPGBV4tglS059VClQMPXDyjtEI2b3uFUN3p8/8/6orx1QUfdp+OlVUp9TH/Vbk+d9ytYYjSQF8RHNd0ZzQojRCt8SRMm+a7uGm9s0xV49FMp0cT5SHwo/tUUrnMDR9X0fl5qpgXfJFMY8CU+bxNl5ZpRCfO9s3b2bikezLtVC3U6Bi6NnoCqFC5iDQoJ6nPe1pWxRPe7KzUYuKoWeDquOUZjuGZmXJ8bKKocepFWtZR48CTkoddNBBjqDR23OW0Uk1P9868TCPMPyHVUFY2fnLyNppTuXho4RMr6yxxhp+KufwC9Y9R3RTZoVUPFbbnCK1zo9lf4Dp0Wv5WqL5RoGKoWejRU899VRGllyKPLRnNmpRMfRsUHWc0qwYepxaq5Z1HChAO4LZB1bAmORzhw4DZ4yXsXLKSJk3i6dz8jArpjAOrcpdMTgUjCVBP13XvOeeewowh8WbjCaKxAidoir8rrvuytiLjbLyINE49IhaxvGmQMXQA2+/ebODVDH0wPvGmCVYMfSYNVgt7jhQgPUPmzlQKTNkjKU4ocs6GDcHGyN8hv/IN8rACCsHg258bDd5X3jhhXNVqt7p4Ky9M0Mulic7p/ihF7Qjm3HoGrWM40eB9p5WbduNXyvOTokrhp4duo5PqhVDj09b1ZKOBwXMuEx9E6A2Lowcj9KPcCktQsikaaGElUb60Eg9wuWtRZsnFKgYep405CxUo2LoWSDqWCVZMfRYNVct7KhTAEO5SAKGpiwRV3XwiUKHIzguZuXhv5XEaTymoAFQboVh4II7zFwMvzxT5qiEnrizlxSfVvSRRx4ZuhxRhVHvELV840+B6KVlPaocuqRGf2583V/EkYpVMfRINcccFEY/NkDIODq08zr1TOEcNEPNcn5RwO2JdKDdUadaoyMuzUkruX5cqB5jlNuwUZUuB/shQdhxKX8t51hTYNQwNMs/7o90vta5C/c7ujmSpZqRonAONa6tVU43UHpIFphtLstJKctQ6dywsyIOPTte7BLZb3/72xm9DDya7oqhR7NdhleqnE2j11YMPTzS15zmLwVc1vjKV74yMDTOChjNYfLLJaufc/IE1SPrsgXmpDDdM1U8AnJEE4zb1fQ0ZNg5SQwd8umyFtVdKTBwCowUhnZ9rOtgIc73vOc9H/vYxxwSsOXloG0whbpjCtg0WGbgpOg9QcWgfKVglK9OnHhcbWsTydUTuYPkolwVcfx67bXX3mGHHVxM4fSwq+ZjkOw9r8lCohWTnTYGJwswc/+KoWdOw/FOAaflpK4mFUOPd3PW0o8GBUxsr371q011gRFjDuamR5HsFp+G9kYYeYGk3kGk0qFUQytJ7xkpp4IhWhQYhgYXPIap+JSTcQSo70qB2aBA8G+Z8lzpcixevPiwww7bdNNNf/azn2V5vvnNb97jHvf43Oc+R0eL569//WsSX5yeAdodasSAPYgZ1uJ7fzPQ3qPM+/TTT2e6brvttpNRFuCcc86BmAPUAv2u4/7zn//sK1H05ZdfnsEG5YDagXhEG1SC7elUDN1OkwXnE1NpvN25cOyxx77oRS8699xzFxwhaoUrBQZEAacJCVQWLVrUEbMOKJN+kgE6g9PLyO0Qofw6Om5WRJwpZCs6MPToFKyWZH5ToJ1B5gRDu2lon332ecADHsCoTrl6dIvThhtuuNVWW7G3oyEuvfTSAw88sAzQ3jpOFDC7vvrqq6+wwgor9/astNJKq6yyyjbbbHPZZZe1J9jwoV6y0UYbufCk9Aedv/71r9tK+vvf/x7+ORa99rWvZRqoDDwQt8UGPDOQpCZLpGLoySizQP0tDZnlesELXkD1cIGSoFa7UmDGFLB1aVYgh46UTBU5W8w47QWXQJLOLjB9aNfUhOwKIfLTgiNKrfAQKTAiGJpUdbXVVmPKXXnK2pu1eQK41KP5sxd59NFHd8fQ1vb0PS6++GImI3t/qF5ceeWVUypQyXqXXXZZd911Q5ktikqAfcwxx1gDkAqX5Sc7P/PMM50VdmFqhJS+Q1kMg55yyimWzWTqjkCcffbZ8PfXvvY1gokPfehDETLY3/Wl9v3UnchZRJXylVTbIPyIRzziFa94BXSee1kRcYDviqEHSMz5kFRg6Oc///n0+udDfWodKgXmggIVQw+Q6gmUE0MbpiL9/DTA7GpSlQINCowChqZbvMkmm6y11lpEvI3iObdHq3i55ZYjHb/iiiv+f3tnHjVFcfVhQkANKu5GIq64nKBREpdITsjnmohL3KNxNxqXqEHFuEaRRUAxKsQcNyAoURQFNxQRBUVA0ajRuO8CCgRRBAFRzsn3SMWineV9e7prprurfvPHS011VfW9z52e/k1xuwod+f7772d4aYwbN27LLbfcYosteECQRx5Hjx7Ng4O82JiwfP9j1qk8++yzEcpmwUoefsAFZH2nTp0Q1khhfhKQvnLwwQcjtbnw8e7QQw+1Op7V7vnBwGOL9EKFkyjCW/gg2fnPQHZgZR6a/11vOrOlhGdNb6Wha8Llf2NpaP9jLA/rT0Aa2iFjqwakoR1S1VDxCeRBQ/MYQJs2bXjwDsVcYvnChQuvuuoqNDRztDyQN2DAgJIGDX7LFPLqq69O1geaHgHNCznLihzkopRbQrY0ZqOVTZo1aR78AKDZj370I5yigL/I4oMOOui9997j7R133LHrrrtaTcz/SpF1bTZd4uj+++9/+umnU0BkMy1NTstrr73G2/q9pKHrx7aQI0tDFzJsMjpnBKShHQZEGtohTA2VgEAeNDSStEWLFmeeeWa5/eQZs94FjxUef/zxI0aMyPxZJkz9zne+g7otNzVmDfkYDELmBu15evKwww6jzBQ1WSKkbZAoQm4GXwvkdJ100knksZhhEdY8wsjzErwl4Zv/Tmd6m0wPesV8DjKmedFm0tBRGir/VxpaHwIRSE8ADf3HP/6R+RUzFF/3vNIPG+YIFp3mocP8AGTudR409A477MBMc0VhajT0qquuymN8JQswN4EOpxCXtb7QqfZ6rDY4Dzi2bdvW5FRUa9NE/aJFi0jA4MkH0ldoxlVPZghSmDI/DyBA4orJ62BdERKsTzvtNA7hDhkdlJn25i25HB06dOAhS9a24xFM05165y9paOdIiz2gNHSx4yfr80HAaGg9U+gkGvaeLQ3thKcGqZVAHjQ0uQ2bbLIJC0KXG08ux1/+8pfWrVv37t2bcnmD8hoyKMiU4JG7du3abRTv1b59ewwgL5nM4/IBozVdu3YlGZrE5WilLfMQob2ibWW0wBQys8tsImMeHeaJwM6dO5ulPMiN7tu3L7kipFYzLU0v5t2ZrQALzy+yRQui2QyOg6eccgoLJPBgolmuJHoKh2VpaIcwfRhKGtqHKMqHrAkol8NhBOwdVxraIVUNFZ9AHjT0nnvu2bFjR0RhudmoUvIZyPSIroNR3ixaQy4EORI88Ddy5EjUapwXspUlqFkfw6zuHB2tpMxk8Lbbbss+UyX1YGRKeNCgQUb+lhy1b8m7YAbaPghIPjQLw9OXBpRZUppnB5lXNjU8ichbVgvhxaJ+9llD5tdZg4/Uapa+ji5Qbc/iqiAN7YqkJ+NIQ3sSSLmRKQFpaIf4paEdwtRQCQjkQUOTGEaqBqvOR+1HKSIcmWpldhYNbdZCRuMyX2skZrSxw7K9JCuOOWHCBGbN2WQqepRJZXZdIZsZ4R5/pbnoiaJlM3J5DfUVK6OWuC1LQ7vlWfjRpKELH0I5kAMC0tAOg2BvipqHdkhVQ8UnkAcNzWQzApr5ZqZdWaGCVGDmYimTzMADhcy2kjDNOsrM4LK3A/PKduWK+G46bEma8rHHHksaBjPBmMoLq1go47bbbnN4ljwMJQ2dhyjkyAZp6BwFQ6YUloA0tMPQSUM7hKmhEhDIg4bGbDbxHjhwIMvbIaZJfWZ/bPIipk2bZjwiJ5gF4Fj3rX///vVbhiImPWaa+Q5keWZyl/v06cOGU3YF6JgjFKWZNHRRItUgO/kPF5Zy1B4rDcKt03hKQBraYWCloR3C1FAJCOREQyewXF3qTUAaut6ECza+NHTBAiZzc0lAGtphWKShHcLUUAkISEMngBZIF2noQAId101p6Lik1E4EqhOQhq7OpuYj0tA1I1MHpwSkoZ3i9GowaWivwpneGWno9Aw1gghIQzv8DEhDO4SpoRIQkIZOAC2QLtLQgQQ6rpvS0HFJqZ0IVCeAhtY+hdXx1HZEGro2XmrtmoA0tGui/ownDe1PLJ14Ig3tBKMGCZyA0dDap9DJx0Aa2glGDZKYgDR0YnTed5SG9j7EtTkoDV0bL7UWgUoElMtRiUrCOmnohODUzREBaWhHID0cRhraw6CmcUkaOg099RUBQ0Aa2uEnQRraIUwNlYCANHQCaIF0kYYOJNBx3TQa+vDDD3/iiSfi9lE7ERCBbxOQhv42j1TvpKFT4VPn1ASkoVMj9HYAaWhvQ5vMMc1DJ+OmXiIQJSANHaWRsiwNnRKguqckIA2dEqDH3aWhPQ5uDa4tW7bM3Kjmz59/5513HnjggRMmTKihv5qKgAhECEhDR2CkLUpDpyWo/ukISEOn4+dzb2lon6Mb37eohr7rrrsOOOCAxx57LH53tRQBEYgSkIaO0khZloZOCVDdUxKQhk4J0OPu0tAeB7cG16IaeuTIkdLQNbBTUxEoIyANXYYkeYU0dHJ26umCgDS0C4p+jiEN7Wdca/VKGrpWYmovAk0QkIZuAk6th6ShayWm9m4JSEO75enTaNLQPkUzuS/S0MnZqacIlBFAQ7NPofZYKQOTpEIaOgk19XFHQBraHUvfRpKG9i2iyfyRhk7GTb1EoCIBo6EHDx5sjqICrRCs2L4eldz4Scpaa621Wix/nXTSSfU4SwPGtOieeuqp7t279+zZc968eea89lADzNApgiUgDR1s6Jt1XBq6WURBNJCGDiLMcrJRBPKQy4G+fOONN1jofeutt27dunWvXr0a5b3j81ihLA3tmKyGi0dAGjoepxBbSUOHGPVyn6Why5moRgQSE8iDhrbGb7PNNmuuuebEiRNtTbEK0tDFipd/1kpD+xdTVx5JQ7siWexxpKGLHT9ZnzMC+dHQL7/88oYbbrjuuuuy9HvOIMU1Rxo6Lim1qw8Baej6cPVhVGloH6KY3gdp6PQMNYIIWAL50dDXX3/9yiuv/Ktf/coqUWtkUQrWcuVyFCVkntkpDe1ZQB26Iw3tEGaBh+IuZW5Un3322ejRo/fdd9/x48cX2B+ZLgKZEsiPhu7WrRuPFPbr1y9THqlObr6aGEIaOhVHdU5KQBo6KTn/+0lD+x/jmB7yNUHLBQsW3HvvvV27dn3kkUdidlQzERCBEgI50dCffvrpHnvswTz02LFjSyws0Ftp6AIFy0tTpaG9DKsTp6ShnWD0YRCroe+55x5paB8iKh+yI5ATDf3KK6+0bdt2++23f/fdd7ODkfbM0tBpCap/OgLS0On4+dxbGtrn6NbkmzR0TbjUWASaIJATDT1q1CgSOX75y1/ywIO1dvbs2Wz+wlJ3Rfm/JmloGzsVMiEgDZ0J9kKcVBq6EGFqhJHS0I2grHOEQQANnYd9Ck899dRWrVqxL4ml/sADD5x77rn8HT58+O67737XXXfZQ7ktSEPnNjSBGCYNHUigE7gpDZ0Amp9dpKH9jKu8yoKA0dDZ7lOI3507d0ZDP/jgg4bBrbfe2rt3708++WTx4sU77rgjU9TnnXdeFnhqO6c0dG281No1AWlo10T9GU8a2p9YpvREGjolQHUXAUsgD7kcb7755lZbbdWmTZsPP/wQw+644w52yV66dCnluXPndunSZeedd2alC2tzbgvS0LkNTSCGSUMHEugEbkpDJ4DmZxdpaD/jKq+yIJAHDX377bevssoqu+22GxqUB4UvueSSzz//3ML44IMPpk+fbt/muSANnefohGCbNHQIUU7mozR0Mm4e9pKG9jCocikjAnnQ0BdccAHZGqRlI6D79u27ZMmSjGCkPa00dFqC6p+OgDR0On4+95aG9jm6NfkW1dD77LOP9lipiZ4ai0CUQOYamoxnVoZGQ2+++eZHHnnkSy+9ZJVo1M5ClK3l2mOlEPHyz0hpaP9i6sojaWhXJAs8jrlFmb8LFy4cM2YMOwOPGzeuwC7JdBHIlEDmGnrmzJmrrbZa+/bt2ev74osvZsX3//u//yvoTivS0Jl+lnXy/0pD60NQjYA0dDUyAdXbWxQ+kzH58MMP77nnnvwNCIFcFQGnBDLX0Fy/rMix0047Gbfef//9HXbYYb311hs5cqRTRxsxmP2C0jx0I3DrHGUEpKHLkKjifwSkofVR+K+9RcECDc1k1V577SUNrU+GCCQmkLmGZhFoNPSZZ55pXeARQ1I7jjjiiK+++spUvvzyyyaDi+cLb7nllmnTplHPt8Hjjz9+8803T5kyxfbNtmC/oKShsw1EsGeXhg429M06Lg3dLCL/G9hbFK5KQ/sfb3lYfwKZa+h9990XxUxelvWVGeiWLVuy64qpmTVrFit1cO3PmTOHVaKvueaan/3sZ6x/16dPH5bAQ3AfcsghLCYd/XKwQzW4YG2Qhm4weZ3OEJCG1iehGgFp6GpkAqq3tyh8loYOKPBytW4EstXQzCt36tSpbdu277zzjnXxhhtuQFVfeOGFpgZ5fd1111EeMWLEjTfeyOT0Lrvssummm9qdC+++++7ttttu6tSpdoSsCvYLSho6qxAEfl5p6MA/AE24Lw3dBJxQDtlbFA5LQ4cSdflZTwJoaBaVy2qfwkcffZQHCnmOkEeErZfDhg1juegBAwaYml69er344ouUWQJvxowZ7733HhuyHH/88bb9008/vdZaaxmdbSszKdgvKGnoTPjrpNLQ+gxUIyANXY1MQPX2FoXP0tABBV6u1o1AtvPQ1157LVPOF110UdQ/dlRh6++TTz552bJlQ4YMGTRokDn61ltvUWAtS2T38OHDbRcmpFu3bk2Oh63JqmC/oKShswpB4OeVhg78A9CE+9LQTcAJ5ZC9ReGwNHQoUZef9SSQrYYmrZntCVkTusRFaphp5sWCd4sWLYoeJQ16jTXWYDbaVvbo0YP8aWavbU1WBfsFJQ2dVQgCP680dOAfgCbcl4ZuAk4oh+wtCoeloUOJuvysJ4FsNXQCz/bee28Wv1u6dKnpa7Zo2XjjjV999dUEo7ntYr+gpKHdgtVoMQlIQ8cEFWAzaegAg17qsr1FcUAaupSO3otA7QSKpaG56jt06EACt3X0+eefb9Omzfnnnx/9crBHG1ywNkhDN5i8TmcISEPrk1CNgDR0NTIB1ZtblPnL3ZQdCnffffeHHnooIARyVQScEiiWhp40adI666zz61//2jDgScT99tuPzUqjjyQ6xVPbYNLQtfFSa9cEpKFdE/VnPGlof2KZzBPuT3xB0Nf8JUuSh/rZFvjBBx9MNqB6iYAIFEtDX3nlle3atTvmmGMGDhz4wAMPHHXUUccddxzrRuckjtLQOQlEsGZIQwcb+mYdl4ZuFpHnDSpq6F133VUa2vPAy716EiiWhmaxjo4dO86fP3/UqFFXX331I488YmVrPSHFHdsao1yOuMjUzikBaWinOL0aTBraq3AmcEYaOgE0dRGBpgkUSEPPmzdv5513ZjHppj3K8Kg0dIbwdWoISEPrY1CNgDR0NTKh1EtDhxJp+dlAAgXS0G+//faqq67KlisNxFPbqaSha+Ol1q4JSEO7JurPeNLQ/sQymSfS0Mm4qZcINEEADZ3hPoVNGFZ+aOjQoa1atRo7dmz5oZzUSEPnJBDBmiENHWzom3VcGrpZRJ43kIb2PMByLwsChZiH/uKLL9jom1Xt2NSQx4jZeCULVM2fUxq6eUZqUU8C0tD1pFvssaWhix2/9NZLQ6dnqBFEoIRAITR0ic25fSsNndvQBGKYNHQggU7gpjR0AmhedZGG9iqcciYfBKShHcZBGtohTA2VgIA0dAJogXSRhg4k0FXdLNfQ48eP19p2VXnpgAjEICANHQNS3CbS0HFJqV19CEhD14erD6NKQ/sQxZQ+mFuU+bt48eKJEyd26dJlzJgxKYdVdxEIloA0tMPQS0M7hKmhEhCQhk4ALZAu0tCBBDqumzxmNGXKlJ/+9Kf33Xdf3D5qJwIi8G0C0tDf5pHqnTR0KnzqnJqANHRqhN4OIA3tbWiTObZkyRI09C677CINnQygeokABKShHX4MpKEdwtRQCQhIQyeAFkgXaehAAh3XTWnouKTUTgSqE5CGrs6m5iPS0DUjUwenBKShneL0ajBpaK/Cmd4Zaej0DDWCCEhDO/wMSEM7hKmhEhCQhk4ALZAu0tCBBDqum9LQcUmpnQhUJ4CGLso+hdWdyMsRaei8RCJUO6ShQ418835LQzfPKKgW0tBBhVvO1omA0dBDhgwx46MCrRCs0xk9Htaie+qpp7p3796zZ8958+ZZsB47LtdyQkAaOieByKEZ0tA5DEqWJklDZ0lf5/aFgHI5HEZSGtohTA2VgIA0dAJogXSRhg4k0HHdlIaOS0rtRKA6AWno6mxqPiINXTMydXBKQBraKU6vBpOG9iqc6Z1BQ0+ePFlr26UnqRFCJiAN7TD60tAOYWqoBASkoRNAC6SLNHQggY7rJnusTJ06lT1W7r333rh91E4ERODbBKShv80j1Ttp6FT41Dk1AWno1Ai9HUAa2tvQxnSM+xNfEPYuhYZ+7rnndtxxx9GjR8ccQc1EQARKCEhDlwBJ89Z+O+mZwjQY1TcxAWnoxOi87ygN7X2Im3GwXEM///zz0tDNUNNhEWiSgDR0k3hqOygNXRsvtXZNQBraNVF/xpOG9ieWyTwp19Cah05GUr1EwBKQhrYo0hekodMz1AhpCEhDp6Hnd19paL/j27x30tDNM1ILEaiRgDR0jcCaai4N3RQdHas/AWno+jMu6hmkoYsaOVd2S0O7IqlxRMASQENrn0JLI2VBGjolQHVPSUAaOiVAj7tLQ3sc3FiuSUPHwqRGIlALAaOhtU9hLcyqtpWGropGBxpCQBq6IZgLeRJp6EKGzaHR0tAOYWooETAElMvh8JMgDe0QpoZKQEAaOgG0QLpIQwcS6KpuSkNXRaMDIpCUgDR0UnIV+klDV4CiqgYSkIZuIOyCnUoaumABc25uNQ19zz33OD+XBhSBQAhIQzsMtDS0Q5gaKgEBaegE0ALpIg0dSKCrulmuobU+dFVYOiAC8QgYDT106FDTnKuMV7yujW5Vzbb8GGwtYY+Vc889t2fPnvPmzbNgG81L5wuPgDR0eDGP67E0dFxSfrfjO8LcqL788ssXXnjhxz/+8ahRo/x2Wd6JQP0IDB48uFu3bsOGDeMUS5cu5bKyl5jRrJn8Nf5yaoxZtmyZebt48eJFixZRSU3UyCVLlpg2HKJlJgYbUwFoLJk2bdoFF1xw0UUXffzxx8YkDDZe6K8I1I8AH7OST9pDDz3UqlWrWbNm1e+kGrkQBKShCxGmuhvJF4S5UxoN3alTJ2noukPXCfwlcOutt3bv3n348OH+upiBZ88+++x5552Hhv7Pf/7D6Y3CzsAOnTIwAssl9Ld+rUlDB/YRqOquNHRVNEEdKNHQmocOKvpy1jmBESNGnHjiiSwR/cQTT0xe/nryySf5l2yEqVOnTsnuhQ1Ygg1YQmH8+PFYaMq8ffrpp/k7ceJEDGTSl7+8NV0yMRk7Ofvjjz8+adIkCtdee+3RRx/do0eP2bNnEzJpaOefWw1YkYA0dEUsqoSANLQ+Bl8TkIbW50AEXBHgapowYcKZZ57ZtWtX/p511lnkdZxzzjnnn3/+xRdf/Kc//YkpavJ6G/9iEhczsIdTX3jhhdhDgbfGNowkU4I2Z599NjU0MBZSw6GsbMYSfooYhkceeeRvf/tbcs0/+eQTgoWGthkprmKncUSgnIA0dDkT1RgC0tD6JHxNQBpanwMRcEiAZGJmT6+66qoBAwb06dPn0ksvZfaUh+H+/Oc/87dXRi8s6d2792WXXYYNly9/DRw4EJNQ9oMGDTL1/Za/KGMzzXjXv39/U2681RiAzVdeeWXf5S+MueWWW6ZPn26kM99a5J45jJqGEoGKBKShK2JRJQSkofUx+JqANLQ+ByLghACTowsXLkTkffbZZ6g9Mnc//ebF7CkPw/H3m4qG/mvObk5JGcM++ugj85ZlLnhRnjNnDhZiOQ1mzpw5d+5cyvPnzzdHG2pu5GQYgw0YhnmUYcsL9fzVV185CZkGEYGmCUhDN80n5KPS0CFHf4Xv0tArWKgkAukImMlRdB4LSqQbqb69uerNCT744IM777zTlG0l9tf39LFH52eJbWvMQz3zitbbBiqIgHMCfOrMB8+OrGcKLYrAC9LQgX8A/uc+XxDmhmTW5dAzhfpYiEAaAlxQCGiroXOi+b4WAsuvdC52JDJlfGSOmUSOLl26PPfcc6xzRz3WUm9EKm+/+OKLNChS9sVUm7CBwcY2rKKeF4WU46u7CDRL4OvL5psfnKaxNHSz0AJpIA0dSKCbcZMvCG5INJKGboaUDotAcwS4mtCdpEQbwceVZa8vc5U1N0C9jhtLSoy5//77O3fu3KJFi9///vczZszg3EaY0owyf40X9bIp9rhYwgsXeJlO2Gl/pcQeRg1FoGYC5rMX7SYNHaURclkaOuTor/Dd3Jx4Lw29AopKIpCUALrTTpGi87i+GAnxR72VgEnHTtiP85oJXWMAJrG1CmOx8AUC2rxY5M6MTht+Blizs7LZuooloOMvLybLsQe8ORH31kgVfCVgPnhR76ShozRCLktDhxz9Fb5zQzK3SQqvvPLKNttsM3LkyBWHVRIBEaiFQFR0VivXMp6btlhilDGawEjSxx57bNddd/1GQrdgjQ5yozmZOUqBlvbHgBsjko5iMWISY/DW1iQdUv1EIBYBaehYmIJsJA0dZNjLnLYami+L11577Yc//KF9xqisrSpEQASKRwDFyWXOi2scJW2yIE444YS2bdtaDb3ZZpuZvRXLU5CL57AsFgFHBKShHYH0cBhpaA+DmsAl7qxmUoeCNHQCgOoiAjknwAVu0yEofP755+++++4WW2yBgG7ZsqWV0WeccQbLyiEajNq2hZx7J/NEoH4EpKHrx7boI0tDFz2CbuyXhnbDUaOIQL4JkEyMgMZG1odm87+11lrru9/97iqrrGI19C9+8Qvzf1A8E8lcNcqblynk2zNZJwL1IiANXS+yxR9XGrr4MXThgTS0C4oaQwTyToDnCI2GfvXVV1daaaU2bdqsuuqqrVq1QkmvttpqJq9jr732Mm7wtWCmrvPulewTgXoSkIauJ91ijy0NXez4ubJeGtoVSY0jAvkkwHQyWc5GQC9YsIBNs5l7Puyww1hhgE28mZCeMGHC1VdfzfPELA//zDPPkOyBI8xAI7vpm0+nZJUINICANHQDIBf0FNLQBQ2cY7OloR0D1XAikDMC6GAuc2MUO3hPmTLl8ssvnzRpEjX33HPP2muvTYH9tEnkGDx48Ouvv04bIx3M04c580bmiEDjCEhDN4510c4kDV20iNXHXmno+nDVqCKQIwJIAXOll8wr//3vf19jjTVIlY7aSj600dxR8R1toLIIBEJAGjqQQCdwUxo6ATQPu0hDexhUuSQCEQLoALIyyNAw6RwcMZKaAhp63XXXNRqaZe9MAenMizbMQ9OLQmQwFUUgIAJ8+Es+/9pjJaDwN+mqNHSTeII5KA0dTKjlaLgEjCy2WdG8NSyGDBnC04Rm20JqaDB//nxzFOlgvxzCBSfPwyawXEJ/6zekNHTYn4gV3ktDr2ARbMncWY37fFm8+eabW2+99R133BEsEDkuAh4TsILAauihQ4euvvrqVkNTH82Bts1KmCAjRo8e/cADD9x3331jxoyhMHbsWNacLmlW8e3MmTNvuummnj17XnvttSNGjPjwww8544MPPhhtbB52pNnNN9/cp0+f22+/3eSWmDYvv/wyZ7z//vtfeukl24tBHnnkEdK777777mnTplHPt9moUaOwEwtpbK2lzFas48ePx7s33ngDF8xoxpFx48a9//77dthoAcuvuOKKa665BmgY37t37/fee8824GFNRrj33nsZn79sA2l3qzFteFiTes6FkTg4ffp025fCnDlz6IgxxlSG4mVMpUCGOm1IZKevtZajTzzxxCeffBIdR2W3BOwlY4eVhrYoAi9IQwf+Afja/eg9kvLbb7+91VZbcWMTGhEQAc8IlFzsxrthw4ahoUvyoZt1HLX6u9/9buWVV0bmUkZA33rrrQcffDAbhpcIx5Kh+G7ZY4890MSzZ89GdLLK3t/+9rfu3bsfffTRtiXy+thjj0VTmhqSs1GrxxxzjBX6CF+EMjuqbrDBBlbFkqby8MMPd+7c+cQTTzQa+g9/+MN+++3Hg5JYiOpdc801Dz/8cMpIz8suu4wtZniM8p133sGY73//+127duUQUv4f//jHKaecgklGtlqrnn32WbZGZwETW4N+ZUXtyZMnmxqSXh599NE999yTFQOhOnXq1BIUL7744sCBA1lGEGcnTpz40Ucf2aEoYAz2d+zYEWNQaUh5Xsjlvn37Yio1tMEv1lFh/B49emAtghv+rK9y4403RodS2SEBaWiHMD0bShras4AmcafktioNnQSi+ohAEQiUXOzGZPKhE2ho+qJEeRhx1qxZ1nXKG220EfLU1pQU7rrrLnYUf+GFF6L1CE2U6BFHHGEqyS3hZzz5JNE2lFm4ulu3brYS/X399dfvsMMOBxxwACrH1jNNy5eYeXvppZfOmzfPlBlw0003RcLalgMGDGCi2rzdfvvtzz//fHuIKe2ddtrp0EMPtTXsSrPddtuxaImtMQUEOgsCMpVu65H7iGCbd27rTQFE7du3R7WX1Nu3/FTAKfvWFJhN5zeAKWMzvxwef/xx24bJ+I033pifIrZGBYcEpKEdwvRsKGlozwKaxJ2S26o0dBKI6iMCRSBQcrEbkxNraIQdidQlaQ/M1JIMVjL/ak5EygECmjnmclRMsh533HHUo4xpw1RrxTY/+MEPmLc2h5ilRpEzN7zOOutEpS3KnrX5aIP0ue6662wGCO032WSTq666yo7MpC/deYveRR+fe+659hCF8847j18INjvlkksuYTI4muViGtOXmeNoX2aI119//YULF0ZHs2VwbbjhhsxS25qSwpFHHskS3bbS/P8ACp7ZcVNJHgsanUQU24YCvwF+8pOfRGtUdkVAGtoVSf/GkYb2L6Y1e1RyW5WGrpmgOohAQQiUXOzGarcaGjG6++67R09k2ZDZjOb+97//bWtsYe7cuaxXzVsSf8m4IEfCHrIFcj/oTm60qUETDx8+nPIFF1wQzeggvcFoaNTtP//5T9u9XEN/sPxFg4oa+oQTTujQocOnn35KA5YrQUCTB2JHixZMS7MrDfXpNbRVwySxGOmMhcYpxi/X0PxO4IfHb37zm6hVKrsiIA3tiqR/40hD+xfTmj2K3u0oS0PXTFAdRKAgBEoudmN1Sg1tH4xDRKKSmYTmybmKPEhxXm+99cj6LT+KYSbpAonMpolWL0ZbMj4ZC2RumEqroUmSRnSS92zqrYaO9qVcrqFtgxINjXLlccAuXbqQcGzaILZR9hdeeKHtEi0ws966dWubQJJSQx911FFMbL/22mtoZbKczzrrrOi5KJdoaCa8mVzfZ599bCBK2uttSgLS0CkBetxdGtrj4MZ1reS2Kg0dF5zaiUDRCJRc7Mb8xBqa9S6+973vkf6L1ON15ZVX8vTbjBkzqlHZd999yZauluRgepGUjIa2acrRochqYGKYSW5TaTU0b1mtgl4oeMqJNTTm3Xbbbcz7nn766QceeGDUERQtS2iTzhG1x5b79etHQjnPC5qalBqaxw3J28YX8psPOuigk08+2Z7IFNDQ/BRB0GMtSdI8UHjOOefYlJWSxnqbnoA0dHqGvo4gDe1rZGvwq+S2Kg1dAzs1FYFCESi52I3tiTU0+dBt2rRBX5IlXDEBuoQNmb4kCtuH/EqOmrc858eyFc8991z5UdIqSH1GMppDUQ1NzUUXXUS2NMKXFUIqTmPHnIcGEXnbp556KvPBzE+bc/EgIGkkrPJRbhU1Z5999iqrrGLzwitqaH4AmNEq5kOj0uySI1CyzxQyZ88vE3NSfnuYbOzoPDRjkrG92267RZ+VrGikKhMTkIZOjM77jtLQ3oe4eQdLbqvS0M0jUwsRKCaBkovdOJFSQ9un7ppFwsQqSvSVV14pb0nCMfPH1D/55JMs3MbizeVt0I4kVPCYoDlUoqERqaykwcQti8Gl0dBmcNJRMPWpp54yb5nlRdf+/Oc/L7eKGhYM2Xbbbe3jhhU1NN6ZlewqamjSMEgEN4NHnynkl4n1hbX8zOofUQ1tuvBfATwuaROyKxqpysQEpKETo/O+ozS09yFu3sGS2+pbb71FRqPWh24enFqIQNEIlFzsxvyUGpr1lWNiQPWyrBv5HuXtmT++5ZZbqEeJolaji8rZxv3792em2a6pzGh2qQrT5umnn1577bVJybArRtu+FGLOQ5suPPhIcghr59kRWIaZSfTykdG1pHlEp4EramhSlk0SS0UNPWnSJKS/OVdUQ9uzU2AEErUplGtofldgbcUfJ9ERVE5GQBo6GbcQeklDhxDlZnzkthq9s/IVv/nmm5Np10w3HRYBESgageiVbsuJNTSryJHLEc0bbpYH+7CwwIWdW7XtWWHDanG2JiHvmQlpe5QCZ6EjWde2kpwQRrNvTYGUZVJBKk6Nl68PHe3L2nCs72FrmEpgzpvl7aghoYKl5ZgpR52zBIdtYwpkfbBlTHQO2KwPHU1uQfWy+jVSjC5mfeiSL1iyRHiK0QxYcX3o559//owzzjAN2F+GdUiiS5cQQR5qZHsXGmC5aaa/rghIQ7si6d840tD+xTSJR/ZuSmemVXj43SwalWQs9REBEcgrgeiVbsvJNDQaF/nYsmXLv/71r2jE+B6zhQr5u2x5TX4z6bxoShZLLlntmM0CEaYsi0GGBmKUPVkOOeSQ6FwvSdjI5U6dOjFO9CFFtCwLdHA0ag8L57EpIHaSnrH//vuzLHR0h3CmlhmEFZd5WhGnTF4yhu2999477rgjb9lFxeh7xDRSGInMKnvQQ1gzp846Icxwm9NxdgbH8latWrF2NfYzu8zG4DwjyA6OtMGRq6++mgcQTzvtNI7SGDHNIR615BTkYVNTsk8hP1TIEec7mf1iGOFf//oXm42T7oLiR1ibIOICa9uRlo0BgwYNivqucnoC0tDpGfo6gjS0r5GtzS97N6UbGprUOmno2giqtQgUgUD0SrflZBoadciOgCg8BKjZWDs+AGZSScxAFCIoyZGouGL0zJkzWXTihhtuYP8UcipKEhWQkuQHc2ryjM0SzvbsiPKoqqYejYsoN9aylgiWm61VTBeMocY4gq5lkxdTz7DkSLA+BjsCWlYUGIrEbjJPOEpH86Sg6UJfarCK0XiR4ox55Hbz1/gIKGMGNRylMc9l8uK8jINGpxeHlve+n6O8eIuIp5dZuo4UbdOAs7DHuJnb5uz8bGBZQCbmy+f4jW36m5iANHRidN53lIb2PsSxHLR3CFpLQ8dCpkYiUEAC0SvdlpNp6AJ6L5NFIAkBaegk1MLoIw0dRpyb89LeTWkoDd0cLR0XgaISiF7ptiwNXdRwyu6GEJCGbgjmQp5EGrqQYXNutL2bMrI0tHO8GlAEckIgeqXbsjR0TqIjM/JJQBo6n3HJg1XS0HmIQvY22LsppkhDZx8PWSAC9SEQvdJtWRq6PrA1qicEpKE9CWQd3JCGrgPUAg5p76bYLg1dwADKZBGIRSB6pduyNHQsdmoUKgFp6FAj37zf0tDNMwqhhb2b4qw0dAgRl49hEohe6bYsDR3mh0FexyQgDR0TVIDNpKEDDHoFl+3dlGMsKaW17SowUpUIFJ9A9Eq3ZWno4gdWHtSRgDR0HeEWfGhp6IIH0JH53E3tDZXVVVnwv3wDMEen0jAiIAKZEbCXORbYsjR0ZvHQiYtAQBq6CFHKxkZp6Gy45/CsfE0Yq9jTq127duwclkMjZZIIiEAaAlY3M4gtS0OnQaq+3hOQhvY+xIkdlIZOjM63jlZDs4GtNLRv0ZU/IrCcgNXNvLNlaWh9OkSgCQLS0E3ACfyQNHTgH4AV7ktDr2Chkgh4SsDqZvyzZWloT6Mtt9wQkIZ2w9HHUaShfYxqIp+koRNhUycRKBIBq5sx2paloYsUQtnacALS0A1HXpgTSkMXJlT1NtRq6Dlz5iiXo960Nb4IZELA6mbObsvS0JnEQictCgFp6KJEqvF2SkM3nnlOzygNndPAyCwRcEfA6maGtGVpaHeANZKHBKShPQyqI5ekoR2BLP4wVkPrmcLiB1MeiEBlAlY3c9iWpaErw1KtCCwnIA2tD0I1AtLQ1cgEVy8NHVzI5XB4BKxuxnVbloYO74Mgj2sgIA1dA6zAmkpDBxbw6u5KQ1dnoyMi4AkBq5vxx5aloT2JrtyoDwFp6Ppw9WFUaWgfoujEB3tD/fjjjzfYYAPtseKEqgYRgVwRsJc5VtmyNHSuYiRj8kZAGjpvEcmPPdLQ+YlFNpZwH+ULwtxNzd8FCxast956Q4cOzcYgnVUERKBuBKxu5gy2LA1dN94a2AcC0tA+RLE+PkhD14drcUblPioNXZxwyVIRSEXA6mZGsWVp6FRM1dl3AtLQvkc4uX/S0MnZ+dFTGtqPOMoLEYhDwOpmGtuyNHQcdGoTLAFp6GBD36zj0tDNIvK8gTS05wGWeyIQIWB1M3W2LA0dIaSiCJQSkIYuJaL33xCQhv6GRKj/SkOHGnn5HSIBq5tx3paloUP8KMjn2ASkoWOjCq6hNHRwIS9xWBq6BIjeioDHBKxuxkdblob2OOJyLT0Baej0DH0dQRra18jG9UsaOi4ptROB4hOwuhlXbFkauviBlQd1JCANXUe4BR9aGrrgAUxtvjR0aoQaQAQKQ8DqZiy2ZWnowsRPhmZBQBo6C+rFOKc0dDHiVD8roxranEXrQ9ePtkYWgWwJWN2MGbYsDZ1tUHT2nBOQhs55gDI0Txo6Q/i5OLXV0BR4YdPChQu1x0ouYiMjRMA1AXuZM7C53ilIQ7vGrPG8IhDV0Oaqeeihh1q1ajVr1iyv/JQztROQhq6dmUc97A2VwldffbV06VKc++KLL9Zff/2bb77ZI0fligiIwNcEzGW+bNkyLvkvv/zSCIJhw4atscYaixcvFiMREIESAlwyaGhb+fnnn1MeO3asNLRlEnJBGjrk6H89EWVuolCw5Xnz5q299tpDhgyxleaQ/oqACBSXgPmmM/bbMjKaMj+Y11xzzUWLFumSL258ZXn9CHBdIKPNHBO/P3k7bty4Nm3avPvuu5T1CpmANHTI0f9aN/ONwH3U/F8Vb8Exf/78ddZZZ/DgwQZN/b6YNLIIiEBjCHAtcyJm1MxFzSXPfzdRNhNs/GBmHloaujGx0FmKQsBeNRjMlbJkyRIjoKl/+OGHV1pppenTp5sLSn+DJSANHWzo/+c4t1X+D9f8d5X5guDX9rrrrnvTTTeFjkb+i4BHBBAB6GYjXyiY/5I2lzz50G3btlUuh0fRlivOCHBD5P7IlcJVQ4EriKHHjBnDPPSMGTOcnUYDFZOANHQx4+bOar4R7G9rU+Cbgkkp5UO7Y6yRRCB7AlzpVgFYa1iEhzI/mJUPbZmoIAIlBLhwuC2axCejoUePHr3RRhu9/vrrJS31NjQC0tChRfxb/vJ1YL4RqOVrgokoJqv42c0N9cYbb6SSt3qJgAh4QMBc6ThCwVzsXOm85TLnmULmoc3MtAeeygURcEiAqSWuFwY0905TYF0Ocjk+/PBDU6m/wRKQhg429P9znG8EfmGTCsnXBF8WvJ07d+4GG2wwcuTI0NHIfxEIg8DQoUN5jDgMX+WlCDggMHny5JYtW2ptOwcoCz6ENHTBA5jOfBQz/z/FdBRPS6ChzUwV63J07Njx4IMPHjBgQB+9REAEvCBw+eWX9+3bt1evXr1796bQr18/ynh2xRVXdO3atUWLFj169Ojfv78XvsoJEXBJgGuHi+XSSy+95JJLuHCuueaao446avXVV5eGTidAfOgtDe1DFBP7gHpmEpru5r93TT40f7t164aMbteuHSlfeomACHhAYNNNN91yyy032WST9u3bb7bZZltttRU1+EXl9stfG2+8sQduygURqAcBLpwOHTpsvvnmXC8UWAuSJ+9nz56d+Oarjn4QkIb2I44JvWAeGsWMgGZvQuahE46ibiIgAkUgwH83GTO56s2PZ95y4ZuHpYrggWwUgcwIcLvk3OZGyfrQ2mMls0jk6cTS0HmKRna28O1gEjmyM0FnFgEREAEREIGcEjAa2hjH2nakP82cOTOntsqsRhGQhm4UaZ1HBERABERABESgUATMBBN/zX/dGCX9zDPPHHjggXPmzCmUKzLWPQFpaPdMNaIIiIAIiIAIiIAHBEy6I9LZpDzxEBH/Z8vqVY899phZDtIDH+VCYgLS0InRqaMIiIAIiIAIiIDPBMw8NLrZFFDSqGqfHZZvtRCQhq6FltqKgAiIgAiIgAiERADRzAsZzVO5JpcD7/UEUUgfgaq+SkNXRaMDIiACIiACIiACgRNgLQ6zHIf5Cw0KCxYskIwO/IOB+9LQ+gyIgAiIgAiIgAiIQGUCzD0jms1UtNmVzGxMZuekK3dTbQAEpKEDCLJcFAEREAEREAERSEoAAY1upvei5S/eUjaqOumQ6ucDAWloH6IoH0RABERABERABOpEgClnq6FNgRNRqXSOOgEvyrDS0EWJlOwUAREQAREQAREQARHICwFp6LxEQnaIgAiIgAiIgAiIgAgUhYA0dFEiJTtFQAREQAREQAREQATyQkAaOi+RkB0iIAIiIAIiIAIiIAJFISANXZRIyU4REAEREAEREAEREIG8EPh/fCN8pI/+YQQAAAAASUVORK5CYII="></div><div class = "S4"><span class = "S2"><span class="S0">Esta estructura toma el nombre de controlador I-P, y como se puede observar, la acción integral se realimenta desde el error, mientras que la parte proporcional se realimenta desde la salida, es por esto, que la respuesta a un escalón del sistema con un controlador I-P será más suave que la de un sistema con un controlador PI. Como se ha hecho en el P3, se desea diseñar un I-P de control de velocidad que haga que la respuesta temporal a una entrada escalón no presente sobreimpulsos y que el tiempo de establecimiento (con el criterio del 2%) sea de 0.8 segundos. Para la simulación del controlador I-P digital, abrir y ejecutar el modelo P4_Ex14a.slx. Para su comprobación con el motor, abrir y ejecutar el modelo P4_Ex14b.slx.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Planta</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">K0=0.82;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tau0=0.26;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Periodo de muestreo</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ts=0.01;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Especificaciones</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xi=1;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ts_2=0.8; </span><span class="S10">% tiempo de establecimiento con el criterio de 2%</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Tdes=ts_2/4;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wn=5.8/(xi*ts_2);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Diseño del controlador</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Zdes=exp(-Ts/Tdes);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">alpha=exp(-Ts/tau0);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">beta=-2*exp(-Ts*xi*wn)*cos(wn*Ts*sqrt(1-xi^2));</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">gamma=exp(-2*Ts*xi*wn);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ki_star=(gamma-alpha+beta+(alpha+1))/(2*K0*(1-alpha));</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ki=(2/Ts)*Ki_star;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kp=((beta+alpha+1)/(K0*(1-alpha)))-Ki_star;</span></span></div></div></div><div class = "S12"><span class = "S2"><span class="S0">Para diseñar el controlador, se han seguido los siguientes pasos. Primeramente, se ha digitalizado la planta con un mantenedor de orden cero y se ha escogido un controlador PI discretizado mediante la aproximación trapezoidal.</span></span></div><div class = "S4"><span style="vertical-align:-15px"><img src="data:image/png;base64,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" 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" width="454.5" height="37" /></span></div><div class = "S4"><span class = "S2"><span class="S0"></span></span></div><div class = "S4"><span class = "S2"><span class="S0">En este caso, la función de transferencia de lazo cerrado:</span></span></div><div class = "S4"><span style="vertical-align:-43px"><img src="data:image/png;base64,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" width="463" height="62" /></span></div><div class = "S4"><span class = "S2"><span class="S0">En el caso del PI la función de transferencia de lazo cerrado era:</span></span></div><div class = "S4"><span style="vertical-align:-43px"><img src="data:image/png;base64,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" width="463" height="82" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Como podemos observar, al fijar los polos mediante las ganancias del controlador, automáticamente se fija el cero de lazo cerrado. Sin embargo, si analizamos el cero de la arquitectura del I-P, podemos ver como el cero se fija en z=-1. Vale la pena comentar que la acción proporcional del controlador de IP no ve la referencia, por lo que la respuesta del sistema de lazo cerrado a una entrada por escalón de un controlador del IP es más suave que la del PI.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Como el denominador de lazo cerrado es el mismo que el obtenido en la práctica 3, las ecuaciones utilizadas para ajustar los parámetros del controlador son exactamente las mismas que las utilizadas para el controlador PI.</span></span></div><div class = "S4"><span style="vertical-align:-21px"><img 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" width="475.5" height="50" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual, las ecuaciones de sintonía serían:</span></span></div><div class = "S4"><span style="vertical-align:-43px"><img src="data:image/png;base64,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" width="515.5" height="94.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Las respuestas ideal y real del controlador I-P se pueden observar en la siguiente imagen.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Dibujar la respuesta del motor</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">if </span><span class="S0">useExperimentalData</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S10">% Usar Simulink</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> addpath</span><span class="S0">(</span><span class="S0">[pwd filesep </span><span class="S14">'IPvel'</span><span class="S0">]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> open </span><span class="S14">IP_experimental.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> run </span><span class="S14">IP_experimental.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">else</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FileName = </span><span class="S14">'IP_ideal.mat'</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> cd(</span><span class="S14">'..'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FolderName = [pwd filesep </span><span class="S14">'Common' </span><span class="S0">filesep </span><span class="S14">'Resultados' </span><span class="S0">filesep </span><span class="S14">'Prac3'</span><span class="S0">];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> File = fullfile(FolderName, FileName);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> load(File); </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FileName = </span><span class="S14">'IP_real.mat'</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FolderName = [pwd filesep </span><span class="S14">'Common' </span><span class="S0">filesep </span><span class="S14">'Resultados' </span><span class="S0">filesep </span><span class="S14">'Prac3'</span><span class="S0">];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> File = fullfile(FolderName, FileName);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> load(File); </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">end</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(IP_ideal.time,</span><span class="S0">[</span><span class="S0">IP_ideal.signals.values(:,1,:)],</span><span class="S14">'r'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span><span class="S0">; grid </span><span class="S14">on</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(IP_real.time,</span><span class="S0">[</span><span class="S0">IP_real.signals.values(:,2,:)],</span><span class="S14">'b'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(IP_ideal.time,</span><span class="S0">[</span><span class="S0">IP_ideal.signals.values(:,2,:)],</span><span class="S14">'g'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlim([18 60]); ylim([-2.3 2.3]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlabel(</span><span class="S14">'Tiempo (s)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ylabel(</span><span class="S14">'Voltaje (V)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">title(</span><span class="S14">'Referencia, simulación y salida real'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'Referencia'</span><span class="S0">,</span><span class="S14">'Respuesta Real'</span><span class="S0">,</span><span class="S14">'Siumulación'</span><span class="S0">);</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); 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s3NpXfv3qRMmjSJ3r17c+655/Loo49y8OBBTlT//v1Jy8rKIu1rX/saaZ/5zGdI2bNnD5+k3Nxc8vPzaWhooLy8nLy8PGpqakg5evQoKdu2bePIkSOkDBo0iLSzzjqLtWvXUl1dzTnnnMPxbNmyhf3795MyduxYOioqKiKlra2NzZs301Fubi49evQgLScnh5T29nb+mrKyMlJWr15NS0sL+/btY+PGjaSUlJTwYXJzc+nduzcpkyZNonfv3px77rk8+uijHDx4kI5yc3PJz8+noaGB8vJy8vLyqKmpIeXo0aOcjOeee45jx46RctVVV5GWlZXF4MGDOZ7c3Fzy8/NpaGigvLycvLw8ampqSDl69Cgn4qqrruLzn/88adu3bydtz549VFdXU11dze7du0k5cuQIW7ZsISU3N5f8/HwaGhooLy8nLy+PmpoaUo4ePUoQnGqSBEHwiejWrRs1NTXU1dVRX19Pyp49e7j22ms5cOAAaa2traRNmjSJsWPHMnbsWB544AHSDh48yEdpbW0lbdKkSYwdO5axY8fywAMPkHbw4EE6Ov300+motbWVtEmTJjF27FjGjh3LAw88QNrBgwfpqHv37nSUmZlJRwcOHCAtKyuLkzVjxgxycnK4+eabWbBgAaeddhrnnXceH1dGRgYbNmzg2muvpUuXLqREUcTChQsZNGgQd999NyciIyOD48nIyCAtmUxyolpbWzlRM2bMICcnh5tvvpkFCxZw2mmncd5559HRgQMHSMvKyuJkHDx4kLSsrCw6ysrKIq21tZWOunfvTkeZmZmcqFtuuYXMzEza2tp45plnWLFiBSm9evXi29/+Nh8mIyODDRs2cO2119KlSxdSoihi4cKFDBo0iLvvvpu0GTNmkJOTw80338yCBQs47bTTOO+88/g4WltbScvIyKCjrKwsjmfGjBnk5ORw8803s2DBAk477TTOO+88Tsbpp59OR62traRNmjSJsWPHMnbsWB544AHSDh48SMqMGTPIycnh5ptvZsGCBZx22mmcd955BMGpKkkQBJ+4b3/721RUVJDyyiuv8N3vfpe0nj17kvbGG28QxzFxHBPHMXEcE8cx+fn5fJSePXuS9sYbbxDHMXEcE8cxcRwTxzH5+fl01KVLFzrq2bMnaW+88QZxHBPHMXEcE8cxcRyTn5/PyTj//PNJ27dvHx1VVlZSV1fH66+/zvHs3LmTiooK2tramDZtGi0tLaxbt46hQ4eSkpWVxcfRr18/Vq9ezZ///GeeeeYZxo0bR+/evUmZPXs2ra2tfNra29vp6MCBA5yInTt3UlFRQVtbG9OmTaOlpYV169YxdOhQUrKyskg5//zzSdu3bx8dVVZWUldXx+uvv87x9OvXj7Q9e/bQ0bvvvktadnY2n5QePXowatQoUpYtW8bPf/5zUm699VaSySQfpV+/fqxevZo///nPPPPMM4wbN47evXuTMnv2bFpbW9m5cycVFRW0tbUxbdo0WlpaWLduHUOHDiUlKyuLk3HeeeeRduDAATp69913+aCdO3dSUVFBW1sb06ZNo6WlhXXr1jF06FBSsrKyOBFdunSho549e5L2xhtvEMcxcRwTxzFxHBPHMfn5+ezcuZOKigra2tqYNm0aLS0trFu3jqFDh5KSlZVFEJxqkgRB8Kn413/9Vy644AJSli1bxsqVK0nJy8ujS5cupFRXV5M2Y8YMBgwYwK233srRo0f5KHl5eXTp0oWU6upq0mbMmMGAAQO49dZbOXr0KB8lLy+PLl26kFJdXU3ajBkzGDBgALfeeitHjx7lZJx//vl88YtfJGX27Nk0NzeTsnbtWu677z4KCgrYuXMnx7Nr1y7SCgoKSCaTpLz88suktLe309G///u/U11dza9+9Ss+zMqVK7nkkks47bTTOHDgACNGjGDevHk8+OCDpLW3t/NpycrKImX79u0cPXqUlNdee42tW7dyInbt2kVaQUEByWSSlJdffpmU9vZ2Us4//3y++MUvkjJ79myam5tJWbt2Lffddx8FBQXs3LmT4zn//PO54IILSKmsrOTtt98m5d1336WyspKUL33pS+Tl5fFJKi0tJWX16tVs2rSJlNGjR/NRVq5cySWXXMJpp53GgQMHGDFiBPPmzePBBx8krb29nV27dpFWUFBAMpkk5eWXXyalvb2dk9G/f3/69OlDyqxZs2hpaSFl69atrF27lg/atWsXaQUFBSSTSVJefvllUtrb2/k48vLy6NKlCynV1dWkzZgxgwEDBnDrrbdy9OhRdu3aRVpBQQHJZJKUl19+mZT29naC4FSTJAiCT0VWVhY1NTWkjRs3jubmZrKzs5k4cSIp06ZN4+qrr2bkyJFUVFSwY8cOevToQUZGBh8lOzubiRMnkjJt2jSuvvpqRo4cSUVFBTt27KBHjx5kZGTwUbKzs5k4cSIp06ZN4+qrr2bkyJFUVFSwY8cOevToQUZGBidrxowZpOzYsYM+ffowZMgQrr/+elK+8pWvcMMNN3A8F110EWnDhw9n/PjxXHrppTQ0NJBy6NAhOnr44YcZO3Ys8+bN48MMHDiQvXv3cvjwYS6//HLGjBlDaWkpd911FynDhg2jW7dufFoGDx5Myh/+8AcGDBjAyJEjueSSS+jWrRsn4qKLLiJt+PDhjB8/nksvvZSGhgZSDh06RNqMGTNI2bFjB3369GHIkCFcf/31pHzlK1/hhhtu4MPMnz+fLl268Ic//IFzzjmHoUOHcvbZZ/O73/2OzMxM/u3f/o1P2jXXXEOfPn1oa2vj2LFjfOUrX2HAgAF8lIEDB7J3714OHz7M5ZdfzpgxYygtLeWuu+4iZdiwYXTr1o2LLrqItOHDhzN+/HguvfRSGhoaSDl06BAna+rUqaT89re/pW/fvtxwww0MGTKE7OxsPuiiiy4ibfjw4YwfP55LL72UhoYGUg4dOsTHkZ2dzcSJE0mZNm0aV199NSNHjqSiooIdO3bQo0cPMjIyuOiii0gbPnw448eP59JLL6WhoYGUQ4cOEQSnmiRBEHxqvv71rzN58mRS/vjHP3LfffeRMn36dCZPnkz37t1Zv349zzzzDJmZmdx5553MnTuXEzF9+nQmT55M9+7dWb9+Pc888wyZmZnceeedzJ07lxMxffp0Jk+eTPfu3Vm/fj3PPPMMmZmZ3HnnncydO5ePo7CwkNraWvr06cPBgwfZvHkzx44dY9iwYfzyl78kmUxyPP369WPhwoV07doV28yfP5/MzEyWLl1KSlNTE6+++ioflJGRwYfJycnh2WefZfDgwbzzzjssWrSIxYsX89577zF69GiefPJJPk3l5eUUFhaS8sorr1BfX8+UKVMoKiriRPTr14+FCxfStWtXbDN//nwyMzNZunQpKU1NTbz66qukFBYWUltbS58+fTh48CCbN2/m2LFjDBs2jF/+8pckk0k+zNChQ3n22We57LLLaGtr47nnnuPIkSN8+ctfZsOGDVx55ZV8Gm677TbSbrvtNv6anJwcnn32WQYPHsw777zDokWLWLx4Me+99x6jR4/mySefJKVfv34sXLiQrl27Ypv58+eTmZnJ0qVLSWlqauLVV1/lZJSVlTFz5ky6du3Knj17WL16NSUlJUybNo0P6tevHwsXLqRr167YZv78+WRmZrJ06VJSmpqaePXVV/k4pk+fzuTJk+nevTvr16/nmWeeITMzkzvvvJO5c+eS0q9fPxYuXEjXrl2xzfz588nMzGTp0qWkNDU18eqrrxIEp5IkQRD8tzz55JPEccx7773H8VRWVhLHMXEc89Of/pS0yspKmpub2b59Oy+88ALvv/8+Dz/8MBkZGaSVlJQQxzFxHHM8lZWVNDc3s337dl544QXef/99Hn74YTIyMkhbt24dcRzz5JNPcjyVlZU0Nzezfft2XnjhBd5//30efvhhMjIySFu+fDlxHFNfX09HTz75JHEcU19fT0dFRUW89dZb/P73v2f9+vUcOXKEtWvXctZZZ5G2fPly4jimvr6etLKyMpqbm9m8eTPvvPMOW7ZsobCwkDiOieOYCy+8kLT6+nqKi4v5zGc+w0fp378/mzZt4siRI2zcuJHf/OY3tLa2UlNTw+c+9znSli9fThzH1NfXk9bY2Egcx/zsZz8jLT8/nziOieOYa665hrSamhriOGbv3r2kZWVlsXTpUv70pz/x3HPP0dzczJQpU/jZz35GHMcsX76cjpYvX04cx9TX15NWVlZGc3Mzmzdv5p133mHLli0UFhYSxzFxHHPhhReSVlRUxFtvvcXvf/971q9fz5EjR1i7di1nnXUWacuXLyeOY+rr6+koLy+PrVu3cvDgQTZu3Mif/vQndu7cSV5eHh0tX76cOI6pr6+noyeffJI4jqmvr+dEZWVlkTZq1ChORP/+/dm0aRNHjhxh48aN/OY3v6G1tZWamho+97nPkVZWVkZzczObN2/mnXfeYcuWLRQWFhLHMXEcc+GFF5KyfPly4jimvr6etOXLlxPHMfX19XQ0ceJEmpubee655/jzn/9MdXU1Y8aMIY5jGhsb6aisrIzm5mY2b97MO++8w5YtWygsLCSOY+I45sILL+TDrFu3jjiOefLJJzmeyspKmpub2b59Oy+88ALvv/8+Dz/8MBkZGaSVlZXR3NzM5s2beeedd9iyZQuFhYXEcUwcx1x44YWkLF++nDiOqa+vJwg6syRBEPyvSSaTDBgwgNzcXDIyMvg4kskkAwYMIDc3l4yMDD6OZDLJgAEDyM3NJSMjg0/K+eefz5VXXklWVhYnKiMjg7y8PHJycvgoNTU1LFu2jDvuuIMTkZWVxdChQxk4cCDJZJL/SdnZ2QwZMoSMjAw+joyMDPLy8sjJyeFEnH/++Vx55ZVkZWVxsk4//XSGDh1KdnY2n4bGxkZ+9atf8cQTT/CTn/yElGuuuYazzz6bk5GVlcXQoUMZOHAgyWSS48nIyCAvL4+cnBw+KRkZGQwZMoTTTz+dvyYjI4O8vDxycnL4pCWTSQYMGEBubi4ZGRkcT0ZGBnl5eeTk5BAEp7okQRAEf4d27drFU089xcCBAwn+fuzdu5dvfvObFBcX09TURGZmJj/5yU8IgiD4NCUJgiD4O1RZWcnw4cMJ/r5ceOGFFBQUcN1113HbbbfR0NDAgAEDCIIg+DQlCYIgCIL/IVlZWSxfvpz6+noee+wxBgwYQBAEwactSRAEQRAEQRB0YkmCIAiCIAiCoBNLEgRBEARBEASdWJLgf0xJSQmSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJFU+CacAACAASURBVCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIYmSkhKC/ydJ8D+moaEB29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGObFNvYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sY5sU29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjmxTb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbJNiG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sk2Ib29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWyTYhvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tUmxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1SbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trFNQ0MDwf+TJAiCIAiCIAg6sSRBEARBEARB0IklCYIgCIIgCIJOLEnQqRQXF3OqKy4u5lRXXFzMqay4uJhTXXFxMae64uJiTmXFxcWc6oqLiwmClCRBp1JSUsKprqSkhFNdSUkJp7KSkhJOdSUlJZzqSkpKOJWVlJRwqispKSEIUpIEQRAEQRAEQSeWJAiCIAiCIAg6sSRBEARBEARB0IklCYIgCIIgCIJOLEkQBEEQBEEQdGJJgiAIgiAIgqATSxIEQRAEp7CSkhIkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISw4YNQxKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSGLYsGFIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhIlJSUEH1+SIAiCIDiFNTQ0YBvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sY5uGhgaCjy9JEARBEARBEHRiSYIgCIIgCIKgE0sSBEEQBEEQBJ1YkiAIgiAIgiDoxJIEQRAEQRAEQSeWJAiCIAiCIAg6sSRBEARBEJwy7r//fkaMGMGIESMYMWIEI0aMYOTIkZSVlbFt2zZOxt69exk6dChnnHEGU6ZM4W/ViBEj2Lp1K8GpK0lw0tra2ti6dSu7d+8mCIIgCP6ebN68mXfffZfrrruO6667juuuu47LL7+cnTt3ctlll7FlyxZO1AMPPEBjYyOLFy+mqKiIv1Wtra20t7cTnLqSBCfs/fffp6Kigq997WuMHj2aa6+9liuvvJKtW7cSBEEQBH8v+vXrR1lZGWVlZZSVlXHvvfeydetWvvzlL/PII49wohobG/n617/ODTfcwEUXXcTfqvr6enJzcwlOXUmCE/ajH/2IDRs28Mgjj/Af//EfbNy4kS996Ut897vf5Y9//CNBEARB8Pfsi1/8Ik1NTaS1tLTwgx/8gC984QucccYZDB8+nNdff52UoqIitmzZwvr167n++utpaWmhpaWFH/zgB3zhC1/gjDPOYPjw4bz++ut0dP311/OrX/2Kc889l69+9as0NzfT0tLCD37wA77whS9wxhlnMHz4cF5//XXSrr/+elauXMk3v/lNTj/9dL761a9SV1dHWnNzMxMnTuTss8/mjDPOoKioiL1795J2/fXXs2XLFlLefPNNSktLyc7O5vTTT+eSSy5hyZIlBJ1bkuCEtLW1sXr1am6//XauuuoqkskkZ511FjNnzuTw4cOsWbOGIAiCoJOYOhUSCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCUgkIJGARAISCZg6lRNx9OhRHnvsMdasWcM3vvEN0m655RZWr15NbW0tO3bsoHfv3uTl5dHY2EhZWRnnnXce/fr1Y/z48WRkZHDLLbewevVqamtr2bFjB7179yYvL4/GxkbSVq1axd133833v/99br31Vnr06MEtt9zC6tWrqa2tZceOHfTu3Zu8vDwaGxtJWbVqFePGjeOWW27h6aef5h/+4R8YOXIkb7/9NikjR45k/fr1PP300zQ0NHDo0CG++c1vkrZq1Sr27dtHe3s7V111FYcOHWLdunW8+OKLXHHFFYwePZrdu3cTdF5JghNy+PBhZsyYwQ033EBHn/3sZ0l57733CP52RRF/EUUcVxRBFPFfRBH/KYr4L6IIoogPFUUQRfxFFEEU8RdRRBD8zYsiiCL+UxRBFEEU8RdRBFHEX0QRJBIQRfynK6+EjRv5/0QRRBFEEf8piiCK+C+iiL+IIogi2LiR/3lTp0IcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcQxxDHEMcw9SpHM/ChQtJJBIkEgkSiQSZmZl8//vf54EHHmDixImkvPTSS6xYsYKlS5cyZMgQzjnnHObNm0d2djYLFizgmmuuIScnhz59+pCfn8/OnTtZsWIFS5cuZciQIZxzzjnMmzeP7OxsFixYQEe33norEyZM4Ic//CEvvfQSK1asYOnSpQwZMoRzzjmHefPmkZ2dzYIFC0j7/ve/z5gxY/jWt77F/PnzOXbsGNu3b2fnzp388pe/pLa2ltzcXPr168fPfvYzvv71r9PY2EhHBw8epKCggPnz5zNgwAD69evHQw89RMprr73G37oo4v8TRfxFFEEUEXyIJMEJOf3008nPz+ess86ioyeeeIKUIUOGcCIkIQlJSOL//J//QxRFRFFEFEVEUUQURURRRBRFRFFEFEVEUUQURURRRBRFRFFEFEVEUUQURURRRBRF7NmzhyiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIqIoogoioiiiCiKiKKIKIp456mnaC4spLmwkObCQpoLC2kuLKS5sJDmwkKaCwtpLiykubCQ5sJCmgsL6T5+PI/mPsqQL7zOvffWkzg34tz7F5EYs4hzF00lMXUqialTSSwaQ2FzIYlFYzh34xjO3TiGxKIxJBaNIbFoDENeLyGxaAyJRWM4d+MYEovGkFg0hsSiMZy7cQznbhzzf9mDGyCty8Pu99//7QqI60ZMV0Qg/FwTLiORx5fGl1J3V4IYd7cIRJoJ1uy93pFobR1FCmkmyIrNVF6ONo4jU9EAkmo0KrojydDtyJpaLQGjKFWvhLg/KkJ2Ni+6rIh0y/+c+8zseTg+WtH4tnJ9PmQrW8hWtpCtbCFb2UK2soVsZQvHdbRw9taLyVa2cFxHC8d1tJCtbOFvbtmCbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbbZv345tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2ttm+fTu2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2Gb7Y4+xd/lyemfMoHfGDHpnzKB3xgx6Z8ygd8YMemfMoHfGDHpnzKB3xgx6Z8ygd8YMemfMYMuMOVx89laOO8dk53SQtazkuOtWctx1KzluZStZayvHdbRwXEcL2coWjutogRUtHNfRQrayhWxlCx3NLZzjFrKVLWQrW8hWtpCtbOG4jhaO62jhuI4WRv/LxWQrWzh768Uc19FCtrKF0f9yMaP/5WKO62ghW9nCcR0tHNfRwjlu4bHtj2Eb29jGNraxjW1sYxvb2MY227dvxza2sY1tbGMb29jGNgej888/n/b2dtatW8cNN9zApz71KW666Sbmz59Pv2effZayRYsW0dzcTHNzM83NzezatYvNmzfzZs8++yxlixYtorm5mebmZpqbm9m1axebN29mf+PGjaPfs88+S9miRYtobm6mubmZ5uZmdu3axebNm+n32c9+ln5DhgyhbO/evTz//PMMHjyYE088kX7Dhw9n1apVVFdXs79hw4axdOlSnnrqKW6++WZaWlqYMGECA8VxHS1kK1sY/S8Xk61sIVvZwnEdLYz+l4s5rqOF4zpayFa2kK1sIVvZwi/+9k9obSX5fxRI3rPNmzfzD//wD5x77rn88R//MQcixkiMkRgjMUbmz5+PJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIYlRo0YhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlI4pi//Vsqx42jsrGRysZGKhsbqWxspLKxkcrGRiobG6lsbKSysZHKxkZ+M66RjYc3sGHIEB67/rvcv/SvUec5qPlR1PwoEkggRD11bFraiFyHXEc9dch1yHXwaB3b/+lLyHXUU0c9ddRTh1yHXEc9dch1yHXIdch1yHXIdch1FFVHxWNfQq5DrqOeOvAY7vurP0MSkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISo0aNQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJjBo1CklIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkMWrUKGruvJPKxkYqGxupbGyksrGRysZGKhsbqWxspLKxkcrGRiobG/nNuEY2VTZy328a+b/G/ZbHVl+KOs9BK65DzY+i5kdRnZFAAj3aDI/WIdch17GiWIdch1xHPXWsKNZRTx1yHUXVUU8dch1yHXId9dRR8diXkOv47PYvsaC+DrmOise+RMVjX0KuQ65DrkOuo1hv7hh1B5KQhCQkIQlJSEISkpCEJCQxatQoJCEJSUhCEpKQhCQkcTAaOXIkkyZNYvLkycybN48bbriBSy65hHvuuYd+fX19DB48mNraWmpra6mtraW2tpZrr72WWbNm8WZ9fX0MHjyY2tpaamtrqa2tpba2lmuvvZZZs2axv4qKCvr19fUxePBgamtrqa2tpba2ltraWq699lpmzZrFO9m7dy+FQoEDsXv3bk499VRKpRIbN27kpJNOYvHixQwUch1F1VHx2JeQ65DrqKeOise+hFyHXIdch1yHXIceHYPqTQIFkvdk06ZNlEolxo4dy+LFi0k+QMUiFItQLEKxCMUiFItQLEKxCMUiFIu4vkjLo0X+bNxv6Fh/HQuKY+ikk/XupLN+BZ31K+gsttJZbKWztciK+iKdrUXWF4t0thZZXyzS2Vqks7VIvYt0LijS2VpkfbHI+mKR9cUina1FOluLrC8W6Wwt0tlapLO1SGdrkc7WIp2tRTpbi6yoL9LZWqSztUhna5H1xSKdCGSS5ENTLEKxCMUiFItQLEKxCMUiFItQLEKxyHXbipzTUU9Lnelo7aDezXTSSafW01m/gs76FXQWW+ksttJZbKVzRT35iiKdrUU6W4sUKdLZWqSztcj6YpEiRdYXi3S2FllRX2R9sUhna5HO1iKdrUXWF4usLxbpbC2yvlikVUU6W4t0thbpbC3S2VpkfbFIZ2uRztYidR0L6KCD5INz2WWXcd5553H55ZfT1dVFWXV1NW+88QYNDQ2USiVKpRKlUokRI0Zw+OGH82bV1dW88cYbNDQ0UCqVKJVKlEolRowYweGHH87bqa6u5o033qChoYFSqUSpVKJUKjFixAgOP/xw3smoUaN4/fXX6erqol9fXx/nnnsuGzduZH9r1qzhmWee4emnn2b16tXMnj2bmpoaBorO1iIr6ot0thbpbC3S2VpkfbFIZ2uRztYina1FOluLdLYW6WwtcuMDN1F0BwkUSN61hx56iJaWFk455RS+//3vM3ToUJKPVkcHrFwJHXWtjPrOHXTSSSutlEm8JYn/l8T/Yf16kHhfSSTJx44NK1cCzSsptm6jk07WF4t80CT+RxL/n3o6SD54y5cvZ+/evVx11VWUNTQ0UFNTw6WXXkpvby9lbW1tNDY20t3dzZs1NDRQU1PDpZdeSm9vL2VtbW00NjbS3d3N22loaKCmpoZLL72U3t5eytra2mhsbKS7u5t3UldXx+c//3muuuoq9u7dS9l3vvMdtmzZwkknncT+KioqKOvq6qKsp6eHK664grK+vj6ST64Cybty6623MnfuXKZNm8by5csZOnQoyUdv1Sq47tEO1LqKu399Nx9bFsYkycdFRwdQXIlaV7GCFXwsWRiTfLBGjx7NwoUL+eEPf0hbWxuFQoH29na6u7s56qijqKysZObMmSxZsoQpU6bwZoVCgfb2drq7uznqqKOorKxk5syZLFmyhClTpvB2CoUC7e3tdHd3c9RRR1FZWcnMmTNZsmQJU6ZM4UA8/PDD/PKXv6SqqoqhQ4dyzz338MADDzBkyBD2N23aNBoaGhg/fjzV1dWEEJg4cSLjxo3j+eefJ/nkKpAcsLvuuovvfe97zJ49m4ULF5J8PNiwciWw4DoWsIBRfaNIkuSd2XDdKsOC61jBCpKDQ3t7O8uXL+etzJ49mzzPmTJlCmU1NTVs2LCB3t5eYoz09PQwZ84c+j3wwAOsWrWKfjU1NWzYsIHe3l5ijPT09DBnzhz2l+c5DQ0N7K+mpoYNGzbQ29tLjJGenh7mzJlDvzzPmTp1KvvL85ypU6dSVlNTw6ZNm3jllVfo7Oyks7OTs846i355njN16lQGDRpEW1sbu3fv5rnnnmPnzp1ceeWVbNmyhXnz5pF8chVIDsjOnTv5+7//e44//niOOeYYHnroIR566CEeeughHnroIZ566imSj4YN1HegelOkyMeZMEnycdHRAVYH9RL11PNxJUzy0Ro0aBAjR46kUChwIAYNGsTIkSMpFAq8G4MGDWLkyJEUCgXeiyFDhjB8+HDeyaBBg6iuriY5eBRIDsi///u/s3fvXn71q18xd+5c5s6dy9y5c5k7dy5z587l/vvvJ/lorFoFNK+imWaSJDlwq1YBzatYwAKSJEk+yQokB2TatGnEGIkxEmMkxkiMkRgjMUb+7u/+juTDZ8PKDkNxJfXU87FnYUySfNQ6OsAY1Zt66vnYszAmSZLkvSiQJAOYDao3QtRTT5IkB8YGY4RIkiT5pCuQJAPYddeBmjtoppkkSQ7cqlXAguuoo44kSZJPugJJMsB18Cj11DMQyGBMknxc1FNPkiTJJ12BJPk4s0HirdhgA/Ud1FNPkiQHxoYOG9WbeuoZCIRJkiR5rwokyQBmjBBJkhy4lSsBGSEGDAtjkiRJ3osCSTJAdXSA6o0QSZIcuEcfhfoFHdRRR3Lwue6665g+fTrTp09n+vTpTJ8+nQsvvJBSqcTGjRv5JNm3bx9PPvkkf4jrrruO6dOnM336dKZPn8706dO58MILKZVKbNy4kffT9OnTefLJJ0nefwWSZICywWM6qKOOJEnenQ4epZ56koPPY489xm9/+1saGxtpbGyksbGRM888ky1btnD66afzxBNP8Elx8cUXs2LFCv4Qjz32GL/97W9pbGyksbGRxsZGzjzzTLZs2cLpp5/OE088wftlzZo1dHV1kbz/CiTJAPXoo0D9o9RTz0AhTJJ81GyQSA5iY8eOpVQqUSqVKJVKzJkzhw0bNjBu3DhuueUWPileffVV3g9jx46lVCpRKpUolUrMmTOHDRs2MG7cOG655RaSj78CSZJ8eCyMSZKPmtVBPfUMGBbGJB+sz3zmM+zatYt+e/bsYe7cuYwePZojjzySqVOnsnXrVvq1tbVxxhlnUFVVxdixY7n++uvZX1NTE3fffTcTJkygqqqKs88+myeffJJ+TU1NbNy4kf01NTWxceNGyvbs2cPcuXMZPXo0Rx55JFOnTmXr1q3sr62tjTPOOIOqqirGjh3L9ddfT9l3v/tdNm7cyNq1a/na175G2bZt22hubqa6upqqqipOPfVUVq9ezXv1mc98hl27dtFvz549zJ07l9GjR3PkkUcydepUtm7dSr9t27bR3NxMdXU1VVVVnHrqqaxevZrkg1cgSQaojg6gvoN66kmS5MDYYIwQSdKvr6+PFStW8JOf/IT6+nr6zZw5kx//+MfcddddbN68mWOPPZYJEybQ3d3N1q1bueCCC5g1axbbt2/nxhtvZMmSJdxxxx30W7t2LVdccQXz5s1jx44dnHHGGZxzzjm8/PLLlK1du5bu7m72t3btWrq7uymbOXMmP/7xj7nrrrvYvHkzxx57LBMmTKC7u5uyrVu3csEFFzBr1iy2b9/OjTfeyJIlS7jjjjv48pe/jCTGjRtHqVRi3759TJw4kddee4329nY2bdpEbW0tX//613nxxRd5N/r6+lixYgU/+clPqK+vp9/MmTP58Y9/zF133cXmzZs59thjmTBhAt3d3ezbt4+JEyfy2muv0d7ezqZNm6itreXrX/86L774IskHq0CSDEA2ICNEkiQHzgZkhBhIhPkwtbZClkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkGWQZZBlkFrK2/p9ttvJ8sysiwjyzIOPfRQrr76ahYuXMjs2bMpe/rpp1mzZg333nsvZ599NmPGjOHWW2+lurqa2267jV/84hcccsghTJo0iaqqKpqamli3bh1f/OIX2d+3v/1tpkyZQmVlJUuXLuUzn/kMt99+O+/k6aefZs2aNdx7772cffbZjBkzhltvvZXq6mpuu+02yn7xi19wyCGHMGnSJKqqqmhqamLdunV88Ytf5LTTTqO6uhpJTJo0iVdffZVp06axbNkyTj75ZMaOHcuNN95I2QsvvMD/5PbbbyfLMrIsI8syDj30UK6++moWLlzI7NmzKXv66adZs2YN9957L2effTZjxozh1ltvpbq6mttuu41XX32VadOmsWzZMk4++WTGjh3LjTfeSNkLL7xA8sEqkCQDkA3ICJEkybskI0Ty9lpbIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc8hzyHPIc+htZW3dP7559Pe3s66deu44YYb+NSnPsVNN93E/Pnz6ffss89StmjRIpqbm2lubqa5uZldu3axefNmJk+ezMknn8zxxx/PhAkTWLBgAYcddhjjx49nfyeffDL7O+WUU3j22Wd5J88++yxlixYt0wDwXQAAIABJREFUorm5mebmZpqbm9m1axebN2+mbPLkyZx88skcf/zxTJgwgQULFnDYYYcxfvx43mzYsGEsXbqUp556iptvvpmWlhYmTJjAgTj//PNpb29n3bp13HDDDXzqU5/ipptuYv78+fR79tlnKVu0aBHNzc00NzfT3NzMrl272Lx5M8OGDWPp0qU89dRT3HzzzbS0tDBhwgSSD0eBJBmoZIRIkuTA2cAYM4YxJAevkSNHMmnSJCZPnsy8efO44YYbuOSSS7jnnnvo19fXx+DBg6mtraW2tpba2lpqa2u59tprmTVrFhUVFfzsZz/jwQcf5IQTTuDOO+/klFNOYenSpezv0EMP5UD19fXRr6+vj8GDB1NbW0ttbS21tbXU1tZy7bXXMmvWLMoqKir42c9+xoMPPsgJJ5zAnXfeySmnnMLSpUt5s927d3PqqadSKpXYuHEjJ510EosXL+ZAjBw5kkmTJjF58mTmzZvHDTfcwCWXXMI999xDv76+PgYPHkxtbS21tbXU1tZSW1vLtddey6xZs9i9ezennnoqpVKJjRs3ctJJJ7F48WKSD0eBJBmAOjqAMWYMYxhQtoltbCNJPio2oG0IkST9LrvsMs477zwuv/xyurq6KKuuruaNN96goaGBUqlEqVSiVCoxYsQIDj/8cF544QV+9KMf0dTUxB133EFnZydXX301ixYtYn87duxgf1u3bqWmpoZ+fX199Hv55ZfpV11dzRtvvEFDQwOlUolSqUSpVGLEiBEcfvjhlL3wwgv86Ec/oqmpiTvuuIPOzk6uvvpqFi1axJutWbOGZ555hqeffprVq1cze/ZsampqeC8uu+wyzjvvPC6//HK6urooq66u5o033qChoYFSqUSpVKJUKjFixAgOP/xw1qxZwzPPPMPTTz/N6tWrmT17NjU1NSQfjgJJMlBpG0IkSfIuyQiRJPtbvnw5e/fu5aqrrqKsoaGBmpoaLr30Unp7eylra2ujsbGR7u5uurq6uOiii1i/fj1l+/btY+vWrXzhC19gf9dffz07d+6k7LbbbuPJJ5/kkksuoaympoa7776bffv20dPTwzXXXEO/hoYGampquPTSS+nt7aWsra2NxsZGuru7Kevq6uKiiy5i/fr1lO3bt4+tW7fyhS98gbKKigpefPFFfv/731NRUUFZV1cXZT09PVxxxRWU9fX18W4tX76cvXv3ctVVV1HW0NBATU0Nl156Kb29vZS1tbXR2NhId3c3FRUVlHV1dVHW09PDFVdcQVlfXx/JB6tAkgxA27YBMkIkSXLgtm0DZIQYUCyMST44o0ePZuHChfzwhz+kra2NQqFAe3s73d3dHHXUUVRWVjJz5kyWLFnClClTqKurY/78+Zx33nlUVlYydOhQduzYwZ133sn+vvCFLxBCoLKykgULFvDAAw9wwgknULZs2TIeeeQRhgwZwtFHH82ZZ57JEUccQVmhUKC9vZ3u7m6OOuooKisrmTlzJkuWLGHKlCmU1dXVMX/+fM477zwqKysZOnQoO3bs4M4776Tsz/7sz/jnf/5nRowYwbRp02hoaGD8+PFUV1cTQmDixImMGzeO559/nndr9OjRLFy4kB/+8Ie0tbVRKBRob2+nu7ubo446isrKSmbOnMmSJUuYMmUK06ZNo6GhgfHjx1NdXU0IgYkTJzJu3Dief/55kg9WgSQZgGySJHkPbEBGiOTg1N7ezvLly3krs2fPJs9zpkyZQllNTQ0bNmygt7eXGCM9PT3MmTOHfgsWLGDPnj3EGHnllVfYtGkTo0ePZn8zZ87kd7/7Hb/61a/YuXMnTU1N9Js8eTI7d+7kpZdeore3lzlz5tDT00NDQwNlNTU1bNiwgd7eXmKM9PT0MGfOHPa3YMEC9uzZQ4yRV155hU2bNjF69GjKSqUSe/fupbe3l0GDBtHW1sbu3bt57rnn2LlzJ1deeSVbtmxh3rx5vJ329naWL1/OW5k9ezZ5njNlyhTKampq2LBhA729vcQY6enpYc6cOZQNGjSItrY2du/ezXPPPcfOnTu58sor2bJlC/PmzaMsz3MaGhpI3n8FkmSgqu+gnnoGkjGYJPkoGSPEQCNM8tEZNGgQI0eOpFAo8GaFQoGRI0cyZMgQ3k5FRQXDhw/nrRQKBYYPH05FRQVvZ9CgQYwcOZJCocBbKRQKjBw5kiFDhvBmhUKBiooK+g0aNIjq6mo+SIMGDWLkyJEUCgXebNCgQVRXV5N8uAokyQDUYSNEkiTvjk2SfGgGDx5MoVAgST5qBZIkSZKDgg3ICJEkH4Y9e/YwZcoUkuSjViBJBhgbkBFiwLEwJkk+CjYgI0SSJMnBpECSDDA2SZK8V2PMGMYw4GwT29hGkiTJe1EgSQYiGSGSJDlwNkmSJAelAkkyEI0xYxhDkiTvkrYhRJIkycGkQJIMMDYDljBJ8lGxARkhkiRJDiYFkmQg0jaESJIkSZIkeScFkmSAsQEZIZIkOXCPPgrICDHQjMEk758HHniAc889lyOPPJLhw4fz53/+52zYsIH9TZ8+nQ0bNvBRmj59Ok8++STvh+nTp7Nhwwb290//9E8MGTKEZ555huSTrUCSJB8eC2OS5CMjI0Ry8Lrjjjv4yle+wmmnncb3v/99br75Zvbt28eZZ57J+vXr6bd371727dvHR2nNmjV0dXXxfti7dy/79u1jf9/97ne54447GD9+PMknW4EkGWAefRSQESJJkoOEhTHJH27JkiX8zd/8DTfccAPTp0/nq1/9Kvfddx+TJk1i4cKF9Hv44Yc566yz+KR4+OGHOeuss9jfc889x0UXXUTyyVcgSQYiGSGSJDlwxgiRHNz27dvH73//e97se9/7HvPmzaNfU1MTTzzxBGVNTU1s3LiR/TU1NbFx40b6NTU18eCDD3LOOedQVVXFhAkT2Lp1KytWrOD444/nqKOOYvbs2fRrampi48aN7K+pqYmNGzfyVrZt20ZzczPV1dVUVVVx6qmnsnr1avr19vYye/ZsRo4cyZFHHsnXvvY1Xn75Zfo1NTXxxBNPUNbT08NVV13FiBEjOPLII5k6dSovvPAC/Zqammhra+Pcc8+lqqqK8ePH8+CDD5IMXAWSJEmSJDlozJ49m9tvv52zzz6bG2+8kX/7t39j3759nHjiiXz5y1+m39q1a+nq6qJs7dq1dHd3s7+1a9fS3d1Nv7Vr13L55ZfzjW98gwceeIDXX3+duro67r//fv7xH/+Rm266iZtvvpkHHniAsrVr19Ld3c3+1q5dS3d3N2+2b98+Jk6cyGuvvUZ7ezubNm2itraWr3/967z44ouUXXjhhTzyyCPcd999/OxnP+O1117j3HPPpd/atWvp6uqi7Pzzz+exxx7j3nvv5fHHH2fYsGH8yZ/8CS+99BJla9eu5fLLL2fmzJncd999nHbaaVx44YXs3LmTZGAqkCQDjDFCJEny7hgjRPLOWmklIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjI6OVVt7ssssuY926dQwbNoxvfetb/Omf/ilVVVXMnj2bnp4e/hDXXHMNF110EZMmTeKv//qv6erq4q677mLSpEk0Nzdzxhln8NOf/pR369VXX2XatGksW7aMk08+mbFjx3LjjTdS9sILL7BlyxbWrVvHXXfdxVlnncXYsWNZvnw5X/ziF+nu7mZ/69ev5/HHH+f+++/n7LPP5sQTT2TFihUce+yx3HTTTfS7+uqraWlpYfLkySxbtoz//u//5qmnniIZmAok/PKXv+R3v/sdSZIkSVLWSis5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5OTk5Oa208lYmT55MW1sbe/bsoaOjg6uvvprbb7+dCy64gD/EZz/7WfoNHTqUoUOHUlVVRb9hw4bR19fHuzVs2DCWLl3KU089xc0330xLSwsTJkyg3/PPP8/gwYM58cQT6Td8+HBWrVpFdXU1+7PNsGHDGDNmDPs744wz2Lp1K/0++9nP0m/IkCGU7d27l2RgKnCQ27FjB1/72tf4+c9/zoE4+eSTCSEQQiCEQAiBEAKPP/44yYfDGCGSJDlwNiAjRHLw2rZtG9/61rfYt28fZYVCgbq6Oq6//nruvfdeOjo6eO6553gnfX19vN/6+vp4O7t37+bUU0+lVCqxceNGTjrpJBYvXky/vXv3UigUOBBvvPEGhxxyCMnBpcBBbOvWrXz1q19l165dHIju7m5ef/11isUiixcvZvHixSxevJjFixfzuc99jiR5RxbGJMlHYoxJDm6vv/46ixYt4v777+fNPv3pT1NWUVHBW+nr66Pfyy+/zPuhr6+Pfi+//DJvZ82aNTzzzDM8/fTTrF69mtmzZ1NTU0O/UaNG8frrr9PV1UW/vr4+zj33XDZu3Mj+jj76aH7/+9/T09PD/rZu3Up1dTXJJ1OBg9B//dd/ccsttzBt2jSOOeYYDtTmzZsp+8Y3vsEFF1zABRdcwAUXXMAFF1xAdXU1yQfPBmSEGIgkkuQjNYYxDEgWxiR/mBNOOIGvfOUrfPOb3+Tmm2/mxRdfZM+ePbS1tdHc3MzEiRMZO3Ysb1ZTU8Pdd9/Nvn376Onp4ZprruEPVVNTw913382+ffvo6enhmmuu4e1UVFRQ1tXVRVlPTw9XXHEFZX19fdTV1fH5z3+eq666ir1791L2ne98hy1btnDSSSexvylTpjBy5Ei++c1vsmfPHspuu+02fvrTn/KXf/mXJJ9MBQ5Cr732GqtWrWL27NksX76cA/XCCy9wxBFHUF1dTZIkyUBiM6BJJO+TH/zgB1xyySV8+9vf5vjjj+ewww5j+vTpnHHGGdx33328lWXLlvHII48wZMgQjj76aM4880yOOOII/hDLli3jkUceYciQIRx99NGceeaZHHHEEbyVadOm0dDQwPjx46muriaEwMSJExk3bhzPP/88ZQ8//DC//OUvqaqqYujQodxzzz088MADDBkyhP1VVFSwbt06YoxUVVUxdOhQrr/+eu69915OO+00kk+mAgehww8/nJ/+9Ke0tLTwbvziF79g9OjRNDc3c+KJJ3LiiSdy8cUXY5vkw2EDY8wYxpAkybukbQiRHNyGDBnC0qVL6e3tZceOHWzevJm9e/eyYsUKhg0bRr88z5k6dSplkydPZufOnbz00kv09vYyZ84cenp6aGhooF+e50ydOpV+X/3qV+np6WF/Dz/8MLfccgtlkydPZufOnbz00kv09vYyZ84cenp6aGhooF+e5zQ0NDBo0CDa2trYvXs3zz33HDt37uTKK69ky5YtzJs3j7Kamho2bdrEK6+8QmdnJ52dnZx11ln0y/OcqVOnUnbCCSfw85//nJ6eHl566SVeeuklZsyYQb88z5k6dSr7y/OcqVOnkgxMBQ5Chx56KIcddhjv1ubNm3nxxRc588wzWbZsGQsXLuQ///M/mTlzJl1dXRyIEAIhBEIIhBC4/vrrsY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWyzfft2bGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb25TZxja2+fWvf03Zq6+8im1sYxvb2MY227dvxza2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1s85vf/Ia+vj7KbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1ttm/fjm1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja22b59O7axjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYZvv27fT19WEb29jm17/+NcgM+fUQbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vY5pVXX6Wvr4++vj5sYxvb2MY2trGNbWxjG9ts374d29jGNraxjW1sYxvbHMxGjBjB+PHjKRQKvJNCocDw4cOpqKjg/VIoFBg+fDgVFRUciEGDBlFdXc3/ZMiQIQwfPpwDMWTIED796U8zUNjGNraxjW1sY5vrr7+eEAIhBEIIhBBI/rcCyQGbP38+d911F5dffjl1dXVceOGFrFixgt/+9resXLmSAxFjJMZIjJEYI/Pnz0cSkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQxKhRo5CEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCRRJglJSOKYY44BbeN/Hfm/kIQkJCEJSUhi1KhRSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQk/uiP/oiKigrKJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkRo0ahSQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSGDVqFJKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIYtSoUVRUVCAJSUhiz55jKDvmmGOQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCGJIz/1KSoqKqioqEASkpCEJCQhCUlIQhKSkMSoUaOQhCQkIQlJSEISkpBEkgwUkpCEJCQhCUlIYv78+cQYiTESYyTGSPK/FUgO2KRJkxg3bhz7q6mp4XOf+xy2ST54NkmSvAc2SZIkB60CyQF55ZVX+Nd//Ve6u7t5K4cccgjJh0RGiCRJ3iUZIZIkSQ42BZID8rvf/Y5vfOMb3HPPPexvx44dvPjii5x44okkHzybgc/CmCT5MG3bxsDmMRiTJEnyXhRI3tLjjz/OX/3VX/Ef//EflNXU1DBx4kS+//3vs379esq2bt3KFVdcQXV1NX/xF39BkiTJx5qMEMn/3+mnn04IgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgRACIQRCCIQQCCEQQiCEQAiBEAIhBEIIhBAIIRBCIIRACIEQAiEEQgiEEAghEEIghEAIgdNPP53kvSuQvKUdO3bQ3t7Ob37zG/otWrSIiRMncsUVVxBCoLGxkcMOO4wf/OAHVFVVkXxIZIQYiCSS5CNhk7yN1atXE2MkxkiMkRgjMUZijMQYiTESYyTGSIyRGCMxRmKMxBiJMRJjJMZIjJEYIzFGYozEGIkxEmMkxkiMkRgjMUZijMQYiTESYyTGSIyRGCMxRmKMxBiJMRJjJMZIjJEYIzFGYozEGIkxEmMkxkiMkRgjMUbWrVtHjJEYIzFGYozEGIkxEmMkxkiMkRgjMUZijMQYiTESYyTGSIyRGCMxRmKMxBiJMRJjJMZIjJEYIzFGYozEGIkxEmMkxkiMkRgjMUZijMQYiTESYyTGSIyRGCMxRmKMxBiJMRJjJMZIjJEYIzFGYozEGIkxEmMkxkiMkRgjMUZijMQYiTESYyTGyLp164gxEmMkxkiMkRgjMUZijMQYiTESYyTGSPzHfyQeeywxRmKMxBjZe+w69sa9xBiJMRJjJMZIjJEYIzFGYozEGIkxEmMkxkiMkRgjMUZijMQYiTESYyTGSIyRGCMxRmKMxBj5v9mDH1hdDLqw+98+tPPiWGkY6JWdm/MtCZ7RRsEpkQ5fSo+VYNQ0JkXCNtAGjVGL8THMFGaTC82S2RBDYrOOAVqigRATQgS12I7yIu0mraYof3wqwe+Rs+Yy7pqHrsK9KTTve7fwihvsvee63t5z7u/zWa1WrFYrVqsVq9WK1WrFarVitVrxm7/5m4wzt+A8d8kll7Barbj66qv5Wtdeey2r1Yorr7ySr7r44ot505vexCc/+UlWqxWr1Yp3vvOdHDlyhHF27OwwxjgThsgYY48MkbG/LRhjHynAEBljnD+UMZ4QxTgAFowxxhhjjHGALRhjPzFExhh7EyEyxjh9BRgiY39bMMYYY4wxxgG2YIx9pNj/kogxxhj7wGZsssnY3xaMsZ8YImOMvYkQ2deSiDHG2KsFY4wxxhjjf1GMA2LBGGOMg28zNtlkjLFH7iAy9rcFY+wjESJjjNNXjDHGeW3BGGOMMcb4+gyRsb8tGGOfKGAzNtlkv1LGeGK4g8gY4/QV44BYMMYY40Ar9j1ljLOuGAfEgjHG2ZVEjHFWGSJjjD0yRMb+tmCMfaIAdxAZY5yHkogxxtirBWOMMcYY43+xs8M4IBaMMcYYY4yvzxAZ+9uCMfYTQ2SMcfoKMETGGON8tGCMfaIYY4wxzppiHBALxhhjHGgFGCJjjD0wRMb+t2CM/cQQGWOMMcY4XQvGGGeVbBIxxhhjjLNjwRj7RDHGOAM7hMh+5iaQRIxx1myGyNj/FoyxnxgiY4wxxuOtHcYBsWCMMcYYY4wDbMEY+8TODmOMM9AOY4xxXlswxn6xGSJjjD3aDJExxh5thsjY/xaMsU+0wxhjjHHWtMM4IBaMMcYYY4z/1WZsssnY/xaMMc6uZIcdxhhjjHF2LBhjv9gMkTHG3kSIjDFOXzEOkAVjjLNKGWOciTaJGGOMvVowxj7RDmOMM2FssskYY4/cQWTsfwvG2C82Q2SMsTfFgaCMMcYZWTDO2F/8xV/w0EMPMcYYY4yDpRgHyIJxRh588EFe8YpX8Cd/8ieMMcYY4wAyRMb+t2Ds2ac//Wle/vKX89/+239jnD0Rm2wyxtgjdxAZY4zz1YJx2h599FFuueUWfvRHf5TDhw8zxhjnumKMMc57C8Zp++u//mve8Y538Iu/+Iu89a1vZYw9UShIIsYYY4xxdiwYp+3v//2/z4c//GGuu+46ztTW1hZbW1tsbW2xtbXFTTfdREVFRUVFRUVFRUVFRUVFRUVFRcXu7i4VFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWnVHzkI7uc8oX1F6ioqKioqKio2N3dpaKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouLYsWOcOHGCEydOcOLECSoqKioqKioqKioqKioqKioqKioqKioqdnd3qaioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKio2N3dpaKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiYnd3ly9/+ctU7O7ugnHo2CEqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioq1l/4AusvfIEvf3qDTzzyCSoqKioqKioqKip2d3epqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKjY3d2loqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiYnd3l4qKioqKioqKioqKY8eOceLECSruu+84GBfuXkhFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFxU033cTW1hZbW1tsbW2xtbXF+BsLxmm76KKLePKTn8zfxWq1YrVasVqtWK1W3HjjjaioqKioqKioqKioqKioqKioqKhsbGygoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqJyisrGxga4w3MveS4qKioqKioqKhsbG6ioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKgcPnyYQ4cOcejQIQ4dOoSKioqKioqKioqKioqKioqKioqKioqKysbGBioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiqvL/4DAAAgAElEQVQqKioqKioqKioqKioqKioqKioqKioqKioqKhsbG6ioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqGxsbHDhhReisrGxwSmHDx9GRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVF5ZKnPpVLnvpULrzwQp7ylKegoqKioqKioqKisrGxgYqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKysbGBioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiobGxuoqKioqKioqKioqBw+fJhDhw6h8vSnP51TNjY2UFFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVG58cYbWa1WrFYrVqsVq9WK8TcWjDHGGGOMcYAtGGOcVcoYZ00xxhjnvQVj7BeGyBhjjwyRMcbpK8AQGfvfgjH2gWKMcZ5TxhjjjCwYY4wxxhjjAFswxhjjwCrGGGfCEBkHw4JxRi655BJWqxVXX301Y+xJEjHGWWOIjDHG+WrBGPuFITLGOE8lEWOcDTsxDpAFY+wDxRhjjDHGGVkwxhjjwIoQGWPskSEyDoYFY+wXhsgYY4wxxl4sGGOMMcYYf0sxDpAFY+wDxRhjjDHGGVkwxjirNmWMcQaUMcY4IwvG2A8MkQMhiRjjbNghRMYYe2SIjINhwRhjjLEfJBFjjLFXC8YYY4wxxt9SjANkwRj7wE6MMcYYZ4+xySbjYFgwxn5giIwx9iZCZIwxzmcLxhhjjDHGOMAWjLEPFGOMMcZZU4wDZMEYY4wxxvjb3EFkHAwLxhhnXxIxxuPO2GSTMcY4ny0YYz8wRA4CZYyzpjg4diRijDH2asEYY4yxD2xuMsZZUYwDZsEY+0AxxhhjnD2GyDgYFoyxHxibbDLG2CN3EBljjPPZgjHGGAdWMcYY570FY4wxxhhjHGALxhhjjDHGOMAWjLEPFGOMPSrAEBljnL4CDJFxMCwYYz9wB5EDI4kYY4wxxuNvwRhjjLFfJBFjjLEXC8YYY4wxxjjAFowxzipljHEGlDHOHkNkHAwLxjjHFWCIjDFOXwGGyBjj9BXjgFkwxhhjjDHGAbZgjDHGGGP8DWMcLAvGGGMcXIbIGGNvRMbBseA89pWvfIU/+qM/4qGHHmKc4wyRAyOJGGOMMcbjb8F56i1veQvf+Z3fyate9SquuOIKXv3qV/Pwww/z/+d5z3seW1tbbG1tsbW1xdbWFltbW9xzzz2MMca5pBhjnIFiHDALzkPvf//7+dVf/VXe8IY38KlPfYr3vOc9PPDAA7z+9a/nf+fzn/88X/rSl/iJn/gJbr75Zm6++WZuvvlmbr75Zp797GczHh/FGGP8D0nEGGPsxYLz0Fve8hZe/OIXc+2117JYLLj88sv5pV/6Je644w4qvpGPfexjnPKTP/mTXHPNNVxzzTVcc801XHPNNTzjGc9gjDHOKYbIGGOPDJFxcCw4z5w8eZIHHniA7e1tvtZLX/pSTrnnnnv4Rv78z/+cf/AP/gHPeMYzGGeZITLGGGOMsVcLzjP33nsvp3zLt3wLX+uiiy7i0KFDfPKTn+QbeeCBBzhy5Ag//uM/zmWXXcZll13GK1/5SirGOF3KGGdFMcYY4/+14Dzzla98hVMuuugi/mdPetKTePTRR/lGPvaxj/GZz3yGF7zgBdx666288Y1v5K/+6q/4Z//sn/G5z32O07G1tcXW1hZbW1tsbW1x0003UVFRUVFRUVFRUVFRUVFRUVFRUbG7u0tFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRcUpx44d45SKioqKioqKioqK3d1dKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKo4dO8aJEyfY3d3llOPHj1NRUVFRUVFRUVFRUVFRUVFRUVFRUVGxu7tLRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXF7u4uFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVu7u7fPnLX+YL6zVf/vKXqaioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioWH/hC6y/8AWOHz/OKceOHaOioqKioqKiomJ3d5eKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiord3V0qKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqdnd3qaioqKioqKioqKg4duwYJ06c4AvrNSdOnKCioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqLipptuYmtri62tLba2ttja2mL8jQXjtN144428853v5Gd+5me48sorufbaa/mN3/gN/ut//a/cdtttnI7VasVqtWK1WrFarbjxxhtRUVFRUVFRUVFRUVFRUVFRUVFR2djYQEVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVF5ZQTJw5zioqKioqKioqKisrGxgYqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqhw8f5tChQ2xsbHDK05/+dFRUVFRUVFRUVFRUVFRUVFRUVFRUVFQ2NjZQUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVHZ2NhARUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVlY2ODCy+8kKdecgkXXnghKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqlzz1qVzy1KfyPd/zdE45fPgwKioqKioqKioqGxsbqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiobGxsoKKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorKxsYGKioqKioqKioqKyuHDhzl06BDr9SUcOnQIFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVlRtvvJHVasVqtWK1WrFarRh/Y8F55tChQ5zy6KOP8j/7yle+wkUXXcQ3cvXVV3P55ZfztZ71rGfx7Gc/m4rxODFExhh7ZIiMMU5TgYIhMg6OBeeZf/JP/gmnrNdrvtajjz7KiRMn+I7v+A6+nvV6zR/+4R/y+c9/nq/nSU96EmOctjaJGGOcBoWdHf67JGKMMfZiwXnmoosu4rLLLuOOO+7ga91+++2c8r3f+718PQ899BA/+ZM/ybvf/W6+1oMPPshnPvMZLrvsMsYYY4wxxrlnwTnq+PHj7Ozs8OlPf5rPfvazrNdr/k959atfzX/4D/+Bd7zjHTz22GP82Z/9GTfffDPf//3fj8op99xzD9dffz2f+MQnOOVZz3oW29vb/Pqv/zp33XUXp3z605/m537u53jGM57Bv/gX/4Lx+CjGGGdgJ8YYZ8LYZJNxcCw4h3zsYx/jJS95CVtbW7zwhS/kJS95CT/0Qz/E1Vdfzfd+7/fyvOc9j+uvv57jx4/zd/HDP/zD/MIv/AI333wzz3nOc7j22mv5x//4H/Nv/s2/4asefPBB7rjjDo4fP85X/cqv/Arb29v83M/9HFtbW/zQD/0QT37yk/mt3/otLr74YsYYY4yx/xXjgFlwDvjoRz/K85//fH7sx36ML33pS2xvb/Pe976XD3zgA9x555184AMf4N/9u3/HkSNH+MhHPsILX/hCXvayl/HII49wpn7mZ36GT3ziE6xWK1arFW9961u5+OKL+aprr72W1WrFlVdeyVddfPHFvOlNb+KTn/wkq9WK1WrFO9/5To4cOcJ4HBkiY4w9MkTGGON8t+AJ9rM/+7O88pWv5LrrruOP//iP+cM//ENuvfVWnvOc56By5MgRVK666ire9773cf/993PXXXexWCz47u/+bt71rncxxn6ijDHGGOMsWvAE+uIXv8g/+kf/iNVqxc/+7M/ylKc8hdPxzGc+k3e/+938x//4H/nwhz/MGGOMMcYY38iCJ9A3f/M386/+1b/iTD3taU/j1ltvZRxsOzHGOAMRm2xyUChjnB3uIDIOjgVPsJe97GV85jOfYYzzyo7ssMMYY4xzTzEOmAVPsL/8y7/kB3/wB3ne857Hr/zKr/Dwww8zxt9iiIwxBm0SMcYYe7HgCXbffffx9re/nac97Wn8+q//Os9//vPZ3t7mox/9KGOMMcYYY/xdLTgHfN/3fR8f/OAHuffee3nNa17Dww8/zCtf+Uouv/xy/uW//JccP36cMcYYY4yzwhAZB8eCc8jFF1/M9ddfz3333cddd93FC17wAn7nd36HF77whVx55ZX8wR/8AeP8E7HJJmOMvYkdRMYYe1OMA2bBOeqZz3wmb3/721mtVrzrXe/iyU9+Mq95zWu47LLLGGOMMcYY43Qt2Af+4T/8hzzjGc/g0KFDjDHGGGOMsRcLzlGf+9zn+MVf/EWe+9zn8pKXvIRPfepT/NRP/RQf/ehHGWO/c5MxHn+GyBhjjwyRcXAsOIc8/PDD3HLLLbzgBS/gRS96Eb/7u7/Lt3/7t3PnnXdy3333cf311/OUpzyFcZ5xB5EDZUcixng8FWOMPSrGAbTgCfboo4/ye7/3e1x11VU8//nP59d+7ddYLBa88Y1v5OMf/zi//du/zZEjRxjnr2KMMVBgR3bYYYwx9mLBE+yKK65guVzy4IMP8gM/8AN8+MMf5p577uHlL385F110EWOMMcYYY/xdLHiCfdu3fRv//t//e1arFbfccgvf+q3fyhhjjDHGE8YQGQfHgifY+973Pq688krO1Oc//3nGAWeIjDH2yBAZY4zz3YIn0Be/+EUuu+wy3vGOd7BXjzzyCNdffz0vf/nLGWOM8bft7l7IGGPvinEALXgCffM3fzO///u/z6233spzn/tcXve61/Hggw/yjXzxi1/kox/9KC95yUv47u/+br70pS/xwQ9+kHGwFWOMMcbZYYiMg2XBE2xzc5P/9J/+E2984xu54447uOqqq9ja2uKf/tN/ylVXXcXVV1/N9vY23/M938N3fdd38cpXvpLHHnuMu+66i7e//e2MMcb4BgyRMcY43y04R1xzzTXcd999/MEf/AE/8iM/wqFDh3jkkUdYr9ecPHmSpz/96Rw9epR7772XO++8k2c+85mM84QhcqAkEWOMMcZ4/C04x2xubvKmN72JD37wg9x7773cd9993H333dx+++284hWv4OKLL2aM/U4ZY5yJJGKMMfZiwRjnsJAxxhhjjL+LBWOc64wxxh4UCSIHjTLG4ypCZBwsC8bYB0TGGGOMMc7EgjHGGGOMMQ6wBWOcy4wxxt4lY4wzkCAyDpYF56jHHnuMz33uczz44IOc8sUvfpFx/gkROXCSiDEeTyJjjDFgwTno53/+53nOc57Di170Il71qldxyote9CJe+9rXMsYY4zyWRIwxxl4sOMdcc801fOADH+D7v//7ed7znsdXfdd3fRfve9/7eN3rXscY+50yxhjjXLQZm2wyDpYF55CdnR3+/M//nPe///3823/7b/lab33rW/mFX/gF3vOe9/DYY48xzhOGyBhjbxJExhh7s4OMg2fBOeQ3fuM3OHz4MM9+9rP5ev75P//nnPLQQw8xzg8hY4wxxhh/FwvOIYvFgscee4xv5LHHHuOUCy+8kDHGGP8bm7HJJgeNMsbjyxAZB8uCc8iP//iP81/+y3/hT/7kT/h63vjGN/L3/t7f45JLLmGcHxJExhh7s4OMMfYuZBw8C84hm5ubXH755bziFa/g+uuv56s+8pGPsL29ze/+7u9y/fXX80T7yle+wh/90R/x0EMPMcYZSyLGGGOcQwyRcbAsOMe85z3vYXt7mzvuuIP777+fz372s7z61a/mP//n/8wNN9zAT//0T/NEestb3sJ3fud38qpXvYorrriCV7/61Tz88MOMx8lmbLLJGGOPDJEDJ4kY4/ESMg6eBeegW2+9lT/90z/lzjvv5Pd///e56667WK1WXHfddTyR3v/+9/Orv/qrvOENb+BTn/oU73nPe3jggQd4/etfzxhjnEtCxhhj/A8LzlHf9E3fxJEjR3jWs57FM5/5TM4Fb3nLW3jxi1/Mtddey2Kx4PLLL+eXfumXuOOOO6gY/+ftCCJjjD0yRMYYe2SIjINlwRPsmmuu4aUvfSmnfOYzn2F7e5vt7W22t7fZ3t5me3ub7e1ttre32d7eZnt7m+3tbV760pdyyy23cLacPHmSBx54gO3tbb7WS1/6Uk655557ON8V/13xf0yCyBj7SUHBbbfxDX3oQ1BQ/C0Ft90GH/oQfOhD/HfFnnwoCRljPykoTkvxDRX/n93dC9mL2/5vSRAZB8uCJ9jJkyc5efIkX3Xy5ElOnjzJyZMnOXnyJCdPnuTkyZOcPHmSkydPcvLkSU6ePMnx48f5tV/7Nf71v/7XnA333nsvp3zLt3wLX+uiiy7i0KFDfPKTn+R0bG1tsbW1xdbWFltbW9x0001UVFRUVFRUVFRUVFRUVFRUVFRUfP6++1gvl6yXS9bLJevlkvVyyXq5ZL1csl4uWS+XrJdL1ssl9y/fzHuX72W5XLN88/0s33w/y/e+lwuuu42Xvf8W3nz/kuV6yXK9ZLleslwvOfK2X+ZlH38ty/WS5XrJcr3kZR9/LZfedpQLjh7l0tuOslwvWa6XLNdLlusly/WSK26/gStuv4HleskVt9/ABUePcsXtN7BcL1mulyzXS5brJcv1kuV6yXK9JOHYsWNUVFRUVFRUVFRUVOzu7lJRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFx7NgxTpw4QcUll6w5ZXd3l4qKioqKioqKioqKioqKioqKioqKit3dXSoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKnZ3d6moqKioqKioqKioqNj9yEdYL5esl0vWyyXr5ZL1csl6uWS9XLJeLlkvl6yXS9bLJevlkvVyyf3LN/PmN7+X+9+8ZPne93LFDbdz6Rtu49I33MZ1HeWCo0dZrpcs10uW6yVX3H4DFxw9ylUfOsqltx3l0tuOcuRtv8zLPv5aLjh6lEtvO8p1HeWqDx3lqg8d5YKjR7n0tqNccPQoL/v4aznytl/mgqNHueL2G1iulyzXS5brJUfe9stccfsNHHnbL3NVt9GL48LdC6moqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKg4fvw4jzzyCBVPf/ojnFJRUVFRUVFRUbG7u0tFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRcXu7i4VFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVux/5COvlkvVyyXq5ZL1csl4uWS+XrJdL1ssl6+WS9XLJerlkvVxy//LN3L98My977ce54NK44LrbuPQNt3HpG27jittvYLleslwvWa6XLNdLlusly/WS5XrJFbffwKW3HeWCo0e54vYbOPK2X+aCo0e54vYbWK6XXHrbUa64/QYuOHqU/+vOt7FcL1mulyzXSy44epQrbr+B5XrJcr1kuV6yXC9ZrpdccfsNXLf5ITY+/X1UVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFTcdNNNbG1tsbW1xdbWFltbW4y/seAJdvvtt3PXXXdxyrOe9Szuvvtu7r77bu6++27uvvtu7r77/2EP/oP8sOt63z/7bTKkY+h3xRYibmdfqcK2aSsUS1uEY74b1lKkWpgb5IBANtPyB1Kcwij3jk7NZ8EZS+xwlpHqxVqyMQ4/BoepovKjrfkGzpZfxSlggQ09zXN1KWGond0S2PRm094JDopYj7vV03yTvh+PGWZmZpiZmWFmZoaZmRlmZma48847eeYzn8ntt9/O4+Ho0aMcs3btWn7YqaeeypEjR1iJ2dlZZmdnmZ2dZXZ2luuuu44kJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCed+4AMM3XUXQ90uQ90uQ90uQ90uQ90uQ90uQ90uQ90uQ90uCwtdbrlliJctLDB15cuYuvZC7rr2Tdz17D9nYtc+7j//87xzYYG77uoy9aZnMTXV5ZZbulx19RrOO3893aEut9zSZWqqy513rmdHgx0NdjRYWOgyNdVlaqrL1FSXqakuBw+u40WXr+Ouu7qsW7eOHQ0OHlzH1FSXqakuU1Ndpqa6TE11ueuuLrfc0mUHe/nvG/47SUhCEpKQhCQkIQlJSEIShoeHSUISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkbNiwgXXr1pGEbneIY4aHh0lCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkDA8Pk4QkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEIShoeHSUISkpCEJCQhCUlIQhKSkITh665jaGGBoW6XoW6XoW6XoW6XoW6XoW6XoW6XoW6XoW6XoW6Xhe4CU927eNmV7+RNL30TF770Fm559js55/oPMLFrHxO79rGjQS9haqrLLbd0ueWWLgcPrmNHgx0NdjTY0eCqq9dw3vnr2dFgR4MdDXY02NFgR4MdDXY0OO/89Vx19Rp2NHjR5evoDnXpDnW55ZYua9as4UWXr+Oqq9ewo8H7Dr6PFwy/gCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCScccYZrF+/niSsX7+eY5KQhCQkIQlJSEISkjA8PEwSkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSRgeHiYJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJw695DUMLCwx1uwx1uwx1uwx1uwx1uwx1uwx1uwx1uwx1uwx1u9yy0OXC7gIXXvnn3HnDL5IDY/R27WZi1z4mdu3j4MF1TE11mZrqMjXVZWqqy9RUl6mpLnfd1eVFl69jR4MdDT796XWsWbOGXg8+/el1TE116fXgRZevY0eDrVsPccstXbpDXaamukxMwIsuX0d3qEt3qEt3qEt3qMvUVJdPf3odvR7s+am3kYQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUm47rrrmJ2dZXZ2ltnZWWZnZyn/osMJ5uGHH+b7zjnnHDZu3Ej5Idu2QWvQGrQGrUFr0Bq0Bq3hRGNyZILJbZJdk+zqbeMRHmEve9mbXexiF3uziwO9XeztNQ7smODAROPARKPRaDQajQMTjQMTjQMTjUaj0Wg0dqVxYKJxYKLxSGscmGgcmGg0Gnt7jb29RqNxYKLxSGs80hoHJhoHJhqPtMbeXuPARGMiPUp53GzbBq1Ba9AatAatQWvQGrQGrWGbYKz12d1kR3bxSA6w1wMcyF52sYtd7GIXu2g09k5MsLfX2JXGgYnGgYlGo9FoNBqNRqPRaDQajUaj0Wg0Go1Go9FoNBqNRqPRaDQajcaBicaBiUaj0Wg0GpcevpRSHjc7dkBr0Bq0Bq1Ba9AatAatQWtM9ybYvmM3E22Ovb0dHOAABzjAXvayi13sYhcHJhp7e40DE40DE40DE429vcauNPb2Go1Go9FoPNIaByYae3uNR1pjb6+xt9doNBqN31t/DQcmGo3GI62xK41Go9FoNBqNRuOR1nikNfb2Gj16lJNPhwHzjW98g1/8xV9ky5YtbNmyhS1btrBlyxbGxsZ4/vOfz/nnn8/3/d7v/R4333wzj4d169ZxzJEjR/hhR48eZe3atZwoFCanZbq3nR0NDnCACSb430kg4VElPKoEEr4n4T+UQMITh0GknDgUtjfZ6Bg9t3GAA0ykxzG9Hv+uXg96PUp5wlJo0zKZ7ezINnaxix49/j29HiSQQAK9HkxM8B/q9SjlUXUYIEeOHKHX67F//34OHz7M17/+db773e/y4IMPct9993H//ffzC7/wCxwPz3nOczhmYWGBH3TkyBEOH4ojU34AACAASURBVD7MBRdcwIliehqmmWaiFxqNUsrK9PswnUkm0mMHjXKcGETKiUFhbLtMZjvbsplGo5THW4cBsn//fo75xCc+wR133MFZZ53FlVdeyZ133snnP/951q1bx8/8zM9wPKxdu5ZNmzZx66238oM++tGPcswll1zCiaDfh8ndkrabHeyglLIyCrvtk4k+u9hFQillBbZvB9On14NGo5TjocMAecc73sFTn/pUnva0p3HMT/7kT3LrrbdyzPr16/mzP/szrr/+eo6Xq666ittvv53du3fz8MMP86UvfYmdO3fywhe+kCScCCYngR2T9OgRQillZSYnod+bZAc7KKWsjIIC23azgx2Ucrx0GCA/8RM/wdq1a/m+X/u1X2NhYYHvS8Lhw4dZWFjgeLjiiiu49tpr2blzJ+eeey5bt27lnHPO4frrr+dEoNBXMtFnG9sopayMwnRf0pMJJiil/ACFhEfT70N6kp706FEeX/Nr14JSoMMAee1rX8vXv/51Hn74YY750R/9Ub7zne+wtLTEMQ899BDHLC8vc7y8/vWv5+6772Z2dpbZ2VluuukmTj/9dE4E/T4QCaFHj1LKykxPA9um6dGjlLIyCrt3Azsm2cY2SjmeOgyQn/qpn2LNmjVceOGFvPe97+XpT386p556Kr/8y7/M1772NV75yldyzBlnnEFZvX37gB2TbGYz5fhKKCcIhd27gd4+trGNcnyNjFBOEMr3mD49epRyPHUYMP1+n/Xr13PBBRdwzO/+7u+yf/9+rrjiCvbv389b3vIWymMzPQ3pSY8eZQAYRMrgE0lPevQopaxMvw/ZLMf06FHK8dRhwJx55pnMzMxwwQUXcMyVV17J5z//eT7ykY/wqU99iquuuoqyev0+pCfH9OhRSlkZBSIhlAFhECmDbW4OTJ8ePUo53jqcANavX8/ZZ5/NU57yFMpj0+9DNksIpZSV270bejv6bGYzpZSV6/ehn91sYxulHG8dBsi9997Lq1/9av49d999N5s3b+bhhx+mrM7cHJg+m9lMKWXlFPrso0ePUsrKKN+TnpQyCDocZ0ePHuXo0aMcPXqUo0eP8tWvfpWjR49y9OhRjh49ytGjRzl69ChHjhzhi1/8IgcPHuShhx6irJxCvw/09tGjRyll5RTo9QmhlLIyCkSO6dGjlOOtw3G2f/9+Nm3axKZNm7jiiiv49re/zaZNm9i0aRObNm1i06ZNbNq0ifPPP5/WGk9+8pM57bTTKKtn+vToUUpZGQWREEIopaxMvw/ZLCGUMgg6HGfnnnsur33ta7n44ou5+OKLOebiiy/m4osv5uKLL+biiy/m4osv5nWvex3vf//7+dSnPkVZPZEQymBIKCeKSAhlMCSUE8DcHPTps5nNlDIIOgyA3/qt32LPnj1MTk5y4YUXsmfPHvbs2cOePXvYs2cPe/bs4dd//de58MILWbt2LWV1FIiEUAaII4iUwaXA5j6b2UwpZeUU0psjhFIGQYcBcvbZZ/P+97+f8l+r3wc299nMZkopK9fvA5kjhDJADCJlcCkQCaGUQdDhOHvZy17G+Pg44+PjjI+PMz4+zvj4OOPj44yPjzM+Ps74+Djj4+OMj49z2WWXUVZn3z5Ib44QSikrNzcHREIopayMggKREEoZBB2Os6WlJZaWllhaWmJpaYmlpSWWlpZYWlpiaWmJpaUllpaWWFpaYmlpiaWlJcrqKIiEUEpZOQUiIZRSViFyTAilDIIOx9lHP/pRZmZmmJmZYWZmhpmZGWZmZpiZmWFmZoaZmRlmZmaYmZlhZmaGT37yk5TVUUhPQiil/DsUEn6QSAIhlFJWRiGhlIHSYUB997vfZW5ujnvuuYf77ruP8tgoEDkmhFLKyimllMdAJIRSBkWHAfSqV72KCy+8kMsuu4yXvOQljI2NMTo6yjvf+U5KORkklAGnQCSEUsrK9fvA5j6b2Uwpg6LDgLnsssv4/Oc/z6/8yq/wkY98hI9//ON86EMfYmRkhD/4gz9g165dlJVTIBJCGTBzYY45ymBSIBJCGRwJpZSyah0GyNzcHHNzc7zvfe/jt3/7tzn77LMZGRnhvPPO4+Mf/ziveMUruOGGGygrp0AkhFLKKo3ICCOUAeMIImUw7dsH9PbRo0cpg6LDANmzZw8bNmzgOc95Do/mzW9+M8vLyzzwwAOUlVFgREYYoZSycv0+kDlCKKWUcmLrcALqdDqUVcgcIZRSVikSQill5RSIhFDKoOgwQF796ldz8OBBZmdneTQ33ngjp556KkNDQ5SV2bcPiIRQSlm5ffuASClldRSIhFDKoOgwQJKwYcMGfumXfokbbriB++67j2984xvce++9vPzlL+dP/uRP+NVf/VVKOdEllBNBpEePUsoqREIoZZB0GDD79u3jmc98JjfddBNjY2P0ej1e/OIX88UvfpE3vvGNXHPNNZSVUyASQill5URCKKWsnFLKQOowgD784Q/zmc98ho985CPccsstfOxjH+PLX/4y11xzDWV1FIiEUAaMQaQMJqUMoASYC3PMUQZUJIRSBkmH4+zlL3859957Lz9saGiIs88+m3PPPZcknHrqqZT/2Jr5eUj4Z5EQSikrp0AkhFLKyikQCaGUQdLhODtw4AAvfvGLefazn83b3/52HnzwQcp/DaWUUkp5fI3ICCOUMkg6HGd33nknN998M095ylN4z3vew3Of+1y2bNnCZz/7Wcp/gUgIpZSVUyASQill5ZRSBlKHAfCCF7yAv/mbv+Fzn/scb3zjG3nwwQd5zWtew3nnncdv/MZvcP/991NWT4FICKWUVRqREUYopaycApkjhFIGSYcBcvrpp3PNNddw5513snfvXi699FL+4i/+guc///ls3ryZj3/845RVGpERRiiDJ6EMKAUyRwillFWKhFDKIOkwoJ7+9Kdz8803Mzs7y/ve9z5OO+003vjGN7Jp0ybKyihlkBlEyuBRIBJCGSwJZYDNzVHKQOpwAvixH/sxzjzzTNatW0dZpcwRQimlnDQMImVARUIoZZB0GFDf/OY3efOb38yznvUsLrvsMr7yla/wute9js9+9rOUlVEgEkIpZeXm5iilPAYKREIoZZB0GCAPPvgg73rXu7j00kv5uZ/7Of7qr/6KZz7zmdx2223ceeedXHPNNaxfv55SSvk/SYFICKWUVYiEUMqg6XCcHTlyhL/+679mbGyM5z73ufz+7/8+nU6Ht771rfzd3/0dH/zgBznrrLMoqzc3B0RCKKWsUiSEUsrKKaUMpA7H2fOe9zze9KY3cd999/HzP//zfOITn+COO+7gFa94BWvXruX/tKNHj/KZz3yGBx54gJONUgaZQaQMHpEQSimrFAmhlEHT4Tj78R//cf7oj/6I2dlZ3vWud/G0pz2Nx8u73/1ufvqnf5rXvva1PO95z+Oqq67iwQcf5H/n2c9+NqOjo4yOjjI6Osro6Cijo6PccccdDKRICGXwJJRSHoOEMqCUUgZSh+Pswx/+MJs3b+bx9pd/+Ze84x3vYHJykq985St86EMfYv/+/fzmb/4m/55vfetbLC0tMTExwc6dO9m5cyc7d+5k586dPOMZz2DgREIopayOSAhlQBlEygCKhFDKoOnwBPXud7+bXq/H1q1b6XQ6nHfeebzlLW/h1ltvReXRfOELX+CYq6++miuvvJIrr7ySK6+8kiuvvJIzzzyTQaOUUkopjwullIHV4QnooYceYv/+/WzZsoUfdPnll3PMHXfcwaP56le/ypOf/GTOPPNMTgiREEopK6dAJIRSyiqNyAgjlDJoOjwBfe5zn+OYpz71qfygtWvXsm7dOr785S/zaPbv389ZZ53Ftm3b2LRpE5s2beI1r3kNKis1OjrK6Ogoo6OjjI6O8ra3vQ0VFRUVFRUVFRUVFRUVFRUVFRWVhx56iIMHD6KicPjwYVRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVObn51FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVE5ePAghw8fRkXl8OHDHKOioqKioqKioqKioqKioqKioqKiojI/P4+KioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKisr8/DwqKioqKioqKioqKirLy8vMz88zPz/PMYcOHUJFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZX5+HhUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWV+++/n0OHDqGisry8zPLyMioqKioqKioq8/PzqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiozM/Po6KioqKioqKioqKioqKioqKioqKioqKionKMyqc/fZBjFhcWUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUZmfn0dFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXlbW97G6Ojo4yOjjI6Osro6CjlX3R4Ajp69CjHrF27lh926qmncuTIER7NF77wBe69914uvfRS/vAP/5C3vvWt/P3f/z2vetWr+OY3v8lKzM7OMjs7y+zsLLOzs1x33XUkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSXjSk57Ehg0bSMIx69atIwlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKGh4dJQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCRs2LCBdevWkYQknHPOOo5JQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJAwPD5OEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEoaHh0lCEpKQhCQkIQlJSEISkpCENWvWMDw8zPLyMIzIeevPIwlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQMDw+ThCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCScccYZrF+/niQkYc2aNaxZs4YkJCEJSUhCEpKQhOHhYZKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIwvDwMElIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUk4JgkbNmyAzPGsoWeRhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJAwPD5OEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkXHfddczOzjI7O8vs7Cyzs7OUf9HhJHbkyBEWFhZYWFhgYWGBhYUF/jOuu+463vve9/L617+ezZs3s3XrVnbt2sU//uM/Mj09zSBRIBJCGWAGkVLKKhhEymBRIBJCKYOmw0nsz//8z7nkkku45JJLuOSSS7jkkkv47ne/y7p16zjmyJEj/LCjR4+ydu1aHs34+DjnnXceP+jss8/mGc94BioDZ0RGGKGUskqZI4QymBJKKWVVOpzEfvZnf5Ybb7yRG2+8kRtvvJEbb7yRJz3pSTznOc/hmIWFBX7QkSNHOHz4MBdccAE/bGFhgU9+8pN861vf4tGceuqpDBKllPIYKBAJoZRSysmhw0ns6U9/OuPj44yPjzM+Ps74+Dinnnoqa9euZdOmTdx66638oI9+9KMcc8kll/DDHnjgAa6++mo+8IEP8IPuu+8+7r33XjZt2sTAyRwhlFJWTimlPAYKREIoZdB0eIK66qqruP3229m9ezcPP/wwX/rSl9i5cycvfOELScIxd9xxB9dccw133303Z599Nlu2bOE973kPe/fu5Zh77rmHN7zhDZx55pm8+tWvZuBEQiillFIeF5EQShk0HZ6grrjiCq699lp27tzJueeey9atWznnnHO4/vrr+b777ruPW2+9lfvvv59j3v72t7Nlyxbe8IY3MDo6ykte8hJOO+00/vRP/5TTTz+dQaKUUh6rSAillFJODh2ewF7/+tdz9913Mzs7y+zsLDfddBOnn34637d161ZmZ2fZvHkzx5x++unccMMNfPnLX2Z2dpbZ2Vne+973ctZZZ1HKao2MAAaRMmAiIZTBlAAGkTI45pAQShlEHcpJSYFICKWUlZubo5TyGDhHKQOrQymllH8xIiGUUlZpREIoZRB1KCevSAillJVzjlJKKSeZDuWkNIeEUEoppTwenKOUgdWhlHJcJIBBpAyQEQmhlLJKIxJCKYOoQzkpOUcp5TFwjnIiMIiUwSEywgilDKIO5eQ0IiGUUlZpREIog2tkhFJKWZUOpZRS/plIKWV1lFIGWodycoqEUEpZvRFGKKWsUuYIoZRB1KGclJRSSinl8RMJoZRB1KGclERGGKEMrgRwBJEyGBTIHCGUwZUABpEyGJRSBlqHUkoppZRSTmIdyskpc4RQSlk5BSIhlFJWKRJCKYOoQznpKKWUUsrjRilloHUoJ6dICGXAzYU55igDJBJCKWWVIiGUMog6lFKOi4RSSjkpiIRQyqDqUE46SinlMVAgEkIZXAngCCKllLISHcrJKRJCKaWUUsoTXYdy0nGOUspjIBJCKWV15pAQShlUHcrJKRJCKaWUUsoTXYdy0hEJoQy2BDCIlAERCaEMtgSYC3PMUUopK9GhlFLK98xJKeUxEAmhlEHVoZRSyvc4RynlsYiMMEIpg6pDOenMISGUUlZpREIopZRyculQSinln2SOEUYopayOzBFCKYOqQzn5jMwRQhl8IYiUUlYuoZRSVqVDOemIjDBCKWV1lHKiMIiUwSASQimDqkMppZR/EgmhlLJyEkoZdB1KKaX8k0gIpZRVioRQyqDqUE4+kRDKCcAgUgaDhFJKKSefDuWkYyCEMvgSyiCJhFBOAAaRcvxJIBJCKYOqQymlFCSUE0dCGRSREEoZZB3Kf8rXvvY1HnjgAQaJgRBKKasUCaGUUsrJpUN5zO677z5e+cpX8rd/+7cMCglEQiilrJyBEEopq2MghFIGWYfymNxzzz284hWv4Nvf/jYDJRJCOTEkgEGklLIKBpFy/EkoZdB1KKty5MgR3vWud/Gyl72MDRs2MGgklFJWz0AIpZRV2twnhFIGWYeyKt/5znfYvXs3b37zm7npppv4z1C+R/ln/T4o36P8KwrT06D8GwobNwIjEkIpJxLlX+n3Yft2HpXyr2zfDhs3Qr/Po1K+p9/ne5RH5QiEUE4MCU9Y/T6MjfFvKN+jsHEj/4ryryjfo6CgoPyHpqdhbAz6ff7ZPnqMMEIpg6xDWZUf+ZEf4ROf+ATbt29nNfrKgdf+HI3GWL8x1m+M9Rtj/cZYvzHWbzQaY/3GWL+xcbox1m80Go1Go7HdxnYbY/3GKa0x1m+M9RvbbUyn4bbGiy9fR9xMKY+L1qA1aA1ag9agNWgNWoPWoDVoDds0tIZtmuntfU7ZKNun+2yfbmycnGZjm2baRus3tvenmR5pNBrbbWycbjQajcZ2GxunG6e0RqMxPdJwW2O7jUZju41XfvX/ZeN0o9HYbuOU1thuY+N0Y+N045TWOKU1Nk43Nk43Go3JHowwQin/xym0Bq1Ba9AatAatQWvQGrQGrUFr0Bq0xthGadvF/jR9+oxNT7N9urG9P83Y9DRj09M0p5mk4bbGf7vtjxnrN8b6jbF+Y6zfaDS22xjrNxqN7TY2TjfG+o2xfmO7jVNa45TWaDTG+o2xfmPjdKPRmKTR39zYbmPjdGOs3+j3oEePUgZZh7Iqa9eu5bTTTmO1eglHjvwEkw36fZiZ+Trf/va7OKXzCZaXl+n3YbLBpZceRuGiiw6xYcNhJhtMNphs0O/D1q2HWF5e5pgzzjjEs5+9yPQ0TDYYHl5m+9kbuWrNOCoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKvPz86ioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKgcPHiQw4cPo6KicujQITB8+uCnUVFRUVFRUVFRUVFRUVFRUVFRUZmfn0dFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWXhTW/i8Mc+xsLiIguLiywsLrKwuMjC4iILi4ssLC6ysLjIwuIi/8/HLmXj5ATbd8NYdrN91xjDX/tv3PaC65hmjkv/749h9rG9P8fNy/+Li379r9i69RCTDaan4aKLDnHzHy8z2aDfh4suOsTw8DKTDYaHl7n22kWWl5e5+Y+Xue22ZR566CEUJhv0+7B16yFe+tJFXvrSRYaHl9m69RDHKChMNth66P9ifH4cFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZX5+XlUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVO6//34OHTqEiorK4cOHwfA/5/8nKioqKioq8/PzqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqBz6jd/g8Mc+xsLiIguLiywsLrKwuMjC4iILi4ssLC6ysLjIwuIiC4uLnDLZOGX3BO7YzuSOMbb3djN803XcM3w708xx2/Lt3DN8OyKT/X3cdtsyW7ceYn5+Df0+nHHGIZaXl7nnnmUmG9x22zLLy8tMNrjnnmWuvXaRiy46hML0NGzdeojh4WUmG/T70O+DwmSD5eVlrr12kZe+dJGLLjpEvw/XDl1JDCoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKirz8/OoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiovO1tb2N0dJTR0VFGR0cZHR2l/IsO5d84cuQICwsLLCwssLCwwMLCAv8Vhm/+XxyYaDzSGv/fb93E/W+8n7/5ub/hH67+HQ5MNPb2Gp+6/HoeaY0Pnn8Dn7r8eh5pjUdao7evsbfX+OD5N/APV/8Oj7TGB8+/gf8x9D84MNHYlcY/XP07/PbDv80Lhl9AEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJP8/e/Afo4lhH2T+4U2quGFJ9w9HcsNU82xJmSiN1CBF2irnat+NBiGgIoouiKP88KzqqkKJVK4X/M/JeFz7hGoZLVWz5Y9yndcyTYUGOFnVgFAxO0PuCj1VVNGpLQMm+ww7F4IaqhUsSYR92pMjkTYkKRtnf8xsvp+PqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorK2toaKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiovLII4/w0EMPoaKi8r3fe4bXPfLII6ioqKioqKioqKioqKioqKioqKisra2hoqKioqKioqKioqKioqKioqKioqKioqJy9ju+g4f+2B/j7OXLnL18mbOXL3P28mXOXr7M2cuXOXv5MmcvX+bs5cv85GffxVO3ttm/9gJ6gatc5fqbr3P9nZ+ESzv8wkO/wK2tHW5t7XB980V2z+yy+57nubrc5trWNrvveZ5Pbj7Lta1trm1ts/ue53nmzc/C09u8+M5nuXz2Mtcff5brjz/L9cef5e9/34/hC9v4wja3trfZfc/zXD57mctnL3P98WfZfc/z+MI2V5fbXNva5trWNrs/+FEeXXsUFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZW1tTVUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVB5++GHOnDmDiorKu971EK9bW1tDRUVFRUVlbW0NFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVlTNnzvDQj/4oZy9f5uzly5y9fJmzly9z9vJlzl6+zNnLl7nxY5e58WOX+Z+/48fgqW28dpHHti5wy2vsdJXr7/wk1zdf5Npyh+ubL3J980VubW+zww5v/t+eZfc9z3Nta4tb29vsvud5rj/+LNcff5an2OadP/8s1x9/llvb21x//Fkun73M7nue59rWNr6wze57nuf6489ya3ubW9vb3Nre5tb2NltH27zz55/l8tnLXD57md33PM+1rW0uv/cvo6KioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKytraGioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKcxwpBQAAIABJREFUioqKioqKioqKypNPPsnh4SGHh4ccHh5yeHjI+B0Lxld56aWXOH/+POfPn+f8+fOcP3+ez3/+83yz3vrW/xvla1JYLvm6rl6F5ZKvSWFrizFOpAIeW/ECL3CNa1xdbrNkyX916xYoX9NyCcqXKCgoX7K1BbduwXLJ13TtGly7xtd17Rosl6CgjHHinLsYq+UlntqGa1xjm21et7XFlylfYWsLrl7l69rehqtX+ZoUrl3j69rZgatX+QrKGKfCgvFV3v/+93PlyhWuXLnClStXuHLlCm95y1sYY3xj9vfh0moft1/gGtcYY9yeS5dgubNiuYRttvlGKGOM/8aC8VXe8Y53sLm5yebmJpubm2xubvKmN72JMe6KJOJBs78PFy/C/vJpdthhjHH79ouWL7DDDmOMb96CMcZ9ozywnn4afGrFcglLloxxJ62vA0nEg6aAp55myRKRMcY3b8EYY9xhBQVsvcBTPMUY4/YUXLwUbK14jMcYY9wZC8YbdvbsWQ4PD9nc3GSM8TsKXAbGkiVjjNuzWgHGkiVLlowx7owFY4z7q3UiHiRPPw08tmLJkjHumiTiQXJwAD32NBe4wBjjzlkwxrhvlAfWPgc8xmOMcTcoD5wCBZexZMkY485ZMMYYd9D+PuwXLmPJkjHG7SnYL163ZMkY485ZMMYYd5ohMsa4ffv74IUQGWPcWQvGGPfXkRxxxINifx+4sM8FLjDGuH0HB8BynwtcYIxxZy0YY9w3ygPn6AhYHrBkyRh3VetEPCgK8oAlS8YYd9aCMca4g/b3QRnjrlIeKMWX5D5Llowx7qwFY4xxB0VgLFkyxrg9BRgiY4w7b8EY4/5KIh4ExRj3zpEcccSDYH8fvBAiY4w7b8EY475RHij7++AyRMYY35jc5wIXGGPceQvGGOMOKWh9nwtcYIy7SXmgHBwAHiEyxrjzFowx7q8k4oHhESJjjNtXgCEyxrjzFowxxh1ycAAYImPcTQokEQ+KCJExxp23YIxxXykPjAIMkTHG7YtQEBlj3HkLxhj3VxLxICjAEBlj3J5ijHGXLRhjjDugAENkjHtBJOK0K8AQGWPcHQvGGPeV8uAwRMYYt68AQ2SMcXcsGGOMO6AYY7wBBazHOuuMMe6OBWOM+0qBJOI0298HLuxzgQuMcU8kEQ8EjxAZY9wdC8YYY4xTSHkgHB0BhsgY4+5YMMYYd8DREbA8QGSMcfuKMcZdtmCMcf8lEQ8CkTHumSTi1DNExhh3x4Ixxn21vs4DoQBDZIxx+wowRMYYd8eCMca4UwyRMe6FCxc4nQqU/ypCZIxx9ywYY9x/ScRpFiEyxr1ydMQYY9yWBWOM+0p5IBRj3FPr60AScVoVYIiMMe6eBWOMcScYImOMb5AhMsa4exaMMe6/1ok4rYox7o8k4rQqYD3WWWeMcfcsGGOMO8EQGeNeUU69YoxxDywYY9xXChzJEUecVgWsxzrrjDFuXwEeITLGuHsWjDHGGKdV60ScaobIGOPuWTDGuK+UB4NHiIwxxhgnzYIxxvgm7e8DhsgY94oCR3LEEafV0RFgiIwx7p4F40v+9b/+1/z2b/82Y9xrCiQRY4xvLcUY4x5YMPjMZz7Dn/2zf5Z/8S/+Bf89733ve9nY2GBjY4ONjQ02NjbY2Njgl3/5lxnjW5ohMsa9ojwYDJExxt2z4FvcK6+8wp/5M3+G//Sf/hP/Pb/1W7/FF77wBba2tnjuued47rnneO6553juuef4nu/5HsZ4w5KI0+roiDHujyTitIoQGWPcXQu+Rb366qt8/OMf50Mf+hCPPPIIt+NTn/oUr3v88cf54Ac/yAc/+EE++MEP8sEPfpC3v/3tjPFGKadaAYbIGPeKMsYYt2XBt6j//J//My+88AI//uM/zs/+7M9yO/7lv/yX/IE/8Ad4+9vfzhh3VBJxqhwdgfIlhsgY91wScVpFiIwx7q4F36J+/+///fzTf/pPuXTpErfrX/2rf8V3fdd38dhjj/Hud7+bd7/73fyFv/AXqLhdGxsbbGxssLGxwcbGBs888wwVFRUVFRUVFRUVFRUVFRUVFRUVx8fHVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVBwfH1NRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVHx2c9+li9+8YtUVFRUVDzyyBd5XUVFRUVFRUVFRUVFRUVFRUVFxfHxMRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFTdv3uRzn/scFa+88hqvvfYaFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFcfHx1RUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFQcHx9TUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUfG5z32OmzdvUlFRUVHxutdee42KioqKiuPjYyoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiq++MUv8tnPfpaK133xi1+koqKioqKioqKioqKioqKioqKioqLi+PiYioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiuPjYyoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiqeeeYZNjY22NjYYGNjg42NDcbvWPAt6tu+7dv49m//dr4Rn/rUp/j0pz/N93//9/M3/+bf5Cd+4if4t//23/JDP/RD/Pt//++5HYeHhxweHnJ4eMjh4SFPPvkkKioqKioqKioqKioqKioqKioqKmtra6ioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKisra2hoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKi8sgjj/DQQw+hoqKiovKudz0ECYKKioqKioqKioqKioqKioqKytraGioqKioqKioqKioqKioqKioqKioqKioqKmfOnOHhhx9G5c3vPOadb34nKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKmtra6ioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKisra2hoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiovLwww9z5swZVFRUVFREjt98jIqKiorK2toaKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKg899BCPPPIIIK976KGHUFFRUVFRUVFRUVFRUVFRUVFRUVFRWVtbQ0VFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWVtbQ0VFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWVJ598ksPDQw4PDzk8POTw8JDxOxY8wF599VVu3LjBjRs3uHHjBjdu3OCb8eSTT/KJT3yCv/SX/hIXLlzgwx/+MDs7O/yH//AfWK1WjPGtqhhjvBGGyBjj7lrwAHvppZc4f/4858+f5/z585w/f57Pf/7zvFGbm5t87/d+L7/bd3/3d/M93/M9VIwxxhjfkPVYZ50xxt214AH2/ve/nytXrnDlyhWuXLnClStXeMtb3sIbcePGDT75yU/yW7/1W3wtb3rTmxjjjVpfB5KI06YAQ2SMe02BJOK0KcYY98iCB9g73vEONjc32dzcZHNzk83NTd70pjfxRvz2b/82jz/+OH/n7/wdfrfPfOYzfPrTn+bd7343Y3xTkohTaT3WWWeMe0053TxCZIxxdy0YX9cv//Iv89GPfpRf//Vf57u/+7v5wAc+wM/93M9x9epVXvfKK6/wkY98hLe//e38+T//5xljjHEfJBFjjPH1LBhf12c+8xl+6Zd+ic997nO87id/8if5wAc+wEc+8hE2Njb4k3/yT/Lt3/7t/O2//bd529vexhhvlHJqFeARImOM21eAITLGuLsWDM6ePcvh4SGbm5v8bh/+8Ic5PDzkwoULvO5tb3sbzz//PL/xG7/B4eEhh4eHfOITn+C7vuu7GOOb1joRY4zbt74OJBFjjPH1LBhjnAxHcsQRp00BhsgY4xtkiIwx7q4FY4z7ThljvAEKtE7EaVOMMe6RBWOM+045tQowRMa4L47kiCNOJUNkjHF3LRhj3HcKJBFjjG8RhsgY4+5bMMY4GZKIU8kQGeNeU06toxhj3CMLxhgngkjEGOP2KZBEnDYdMca4RxaMMU4E5VQ6IkTGuB8USCJOnfUQGWPcfQvGGCdHEnGadMQY95VIxBhjfD0LxhgngnI6rYfIGOMbZIiMMe6+BWOMkyOJGGPcPgWSiNOkGGPcIwvGGCdHEnGadMQY95VyOhnrrDPGuPsWjDFOhAsXOJ3WQ2SM+2p/yT77nCbFGOMeWTDGODlaJ+JUMdZZZ4z7ZX2d08kjRMYYd9+CMcaJoMCRHHHEaVKMcV8p0DoRp0UxxriHFowxxhinmAJHcsQRp4ohMsa4+xaMMU6E5RLYX7LPPqeKR4iMcb8oY4zxe1owxjg5kojTogBjjPtJgSTitCjGGPfQgjHGiaF8ScRpIjLGfbW/ZJ99ThVDZIxx9y0YY5wYCiSnRUeMcSIoY4zxdS0YY5wYCuwv2WefU8MQGeN+Wi6BJOI06AgwRMYYd9+CMcaJceECY4w3YH0d2F+yzz6nwnqIjDHujQVjjBNDgYMLHHDAqWGIjHE/KadKR4wx7qEFY4wTQzlVijFOjoMLHHDAGGP8txaMMU4MBVZbrFhxKhgiY9xvyumyHiJjjHtjwRjjRFGwJREnXTHGibBcgvtbrFhxGhwdMca4hxaMMU6Uxx6DiH32OfE8QmSMk0CBJOLEWz9CZIxxbywYY5woyyWweozT4CjGODEU2F+yzz4nXUeMMe6hBWOME6WAIznggBPPEBnjJLhwAWidAw448dZjnXXGGPfGgjHGibK1Be5vsWLFGOP2bW0BRzLGGP+tBWOME0eBJOIkax3WWWeMk8L9LVasOOkSRMYY98aCMcaJ89hjwP6SffYZY9y+5RLYX7JixYlmiIwx7o0FY4wTZ2sLOLjAC7zAiWaIjHFSPPYY8MJjHHDASRYyxrh3Fow35NVXX+VXfuVX+PSnP80Yd4P7W+wX++xzUiWIjHFSKLDaYsWK4zcfc2IZImOMe2PB+IZ8/vOf56/8lb/C933f9/EX/+Jf5I//8T/OxYsX+ZVf+RXGuJOWS3D1FJf2X+CkChnjJFF46ilgtcVPnf0pTqIQDJExxr2xYHxD/upf/atcvXqVj3/84/zmb/4m+/v7qPzoj/4on/nMZxjjTnnsMeCFLXKfffY5kQyRMU6S7W3w6R3+7pm/yz77nDiGyBjj3lkwbturr77KP/gH/4Af+ZEf4QMf+ACLxYLv/M7v5K//9b/OF77wBf7hP/yHjHGnLJdQwKUdLnKRffY5SWIdDJExTprlErh4lUtcIuIkCRlj3FsLxm37whe+wPPPP8+f+lN/it/tO77jO3jdf/yP/5Ex7qSrV+HqU0u4eJWLXeLi/jarFV9SUHyF4msqblvxNRUUX9Y6iIxxEu3swF9+73vp3FUucpFzq222t6Fgf5+vUPyeiq+p+ArFlxS/t/UQGWPcOwvGbXvb297Gn/gTf4Lv/M7v5Hf7+Z//eV73Az/wA4zxeypYrWC1gtUKVitYrWC1gtUKVitYrWC1gtWKZSuWrbhqeOkq+/twaev3cY5zXOQiF7vEudU2F/e3Obe94uL+Nue2V/zA3/rHnNtesd2Kc9srLq5WnNtecW57xcXVinPbKy7trzi3veLc9opz2ysurlac215xcbXi3PaKS/srzm2vOLe94uJqxdOtuLhacW57xbntFZc4QmSMe6JgtYLVClYrWK1gtYLVClYrWK1gtYLVClYrWK34X//g3+LaY/ssLz5FwdPbv4+LXORilzi32ubi/jbnVttcaptz2ysurlZcXK04t73i4mrFue0V57ZXnHt6xcXVinPbK7ZbcW57xbntFeeeXnFue8Wl/RUrVlxcrbi4WnFxteLc9opz2yu2W3Fue8W57RUXVyvOba+4qFzgAmOMe2fB+KZ86lOf4m/8jb/BH/2jf5T3ve99/PdsbGywsbHBxsYGGxsbPPPMM1RUVFRUVFRUVFRUVFRUVFRUVFQcHx9TUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRcXx8TEVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXK5z7yEW7u7XFzb4+be3vc3Nvj5t4eN/f2uLm3x829PW7u7XFzb4+be3vc3Nvj5t4e77u5xy8+/HH+n1+/yS/+6Z/mpz/2P/Lok/8DvXABOmJ/HyIK3vexPY7f+X+RB/zvr7zM+z62Rx6QB+QB+xzw2qMvs+qAPOC1R18mD9jngDzgtUdfJg9YdUAe8NqjL7PPAf/4tZd538f2eO3Rl8kDEh7++P9CRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFxfHxMRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRXHx8dUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVBy/853ceO97ubm3x829PW7u7XFzb4+be3vc3Nvj5t4eN/f2uLm3x829PW7u7XFzb4//75/8Ex7+9T1++uE9fvHXH+an//Qv4sXHePSVPwgd8corr1Hwyiuv8ehrL/PF7/9H7HPAa4++zD4HvPboy+QBa3/uZfY54LVHX+bp/QPe97E93vexPdb+3MvkAasOuLQ64LVHX+aVtZd538f2yAPygKf3D3jkf/pH5AH7HPDaoy/z4Q/fZPN4k4qKioqKioqKioqKioqKioqKioqKioqKiuPjYyoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiqOj4+pqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioeOaZZ9jY2GBjY4ONjQ02Njb4P972NtjaYsCC8VVeffVVbty4wY0bN7hx4wY3btzga/nVX/1VfviHf5g//If/MM899xy34/DwkMPDQw4PDzk8POTJJ59ERUVFRUVFRUVFRUVFRUVFRUVFZW1tDRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZW1tTVUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVB7+2Mc4s7vLmd1dzuzucmZ3lzO7u5zZ3eXM7i5ndnc5s7vLmd1dzuzucmZ3lzO7u5zZ3eU9u8/znt3n+cHdj/KDzz/PM888y62dLa5t73Bta5tb29vc2t5m98wu15ZPcWtrhxff/CK7Z3a5tbXDra0dbm3tcG25w/XNF7m1tcOtrR2ub77Ira0dri13uLW1w/XNF7nqDj69w62tHa5vvohP7/DM8Yvsntnl+uaLXHWHW1s77H70B1FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZW1tDRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZW1tDRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWVtUcf5ezly5zZ3eXM7i5ndnc5s7vLmd1dzuzucmZ3lzO7u5zZ3eXM7i5ndnc5s7vLF37mZzizu8uZ3V1+cPejfHT3B9m5usUnn32Wa9s7fHLzWa4ut7n++LO8+OyL/LN3/QJbBzv88P/5Ire2dri++SJX3eH65otcW+7w4ptfhEs7fORXd9k9s8v1zRe5tbXDteUOPr3DJ9/5Itc3X2T3zC7XljtcW+5wa2uHf/auX+DW1g7Xljtc33yR3TO7PLr2KCoqKioqKioqKioqKioqKioqKioqKioqKmtra6ioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKisra2hoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKi8uSTT3J4eMjh4SGHh4ccHh7y/37bt4EyYMH4Ki+99BLnz5/n/PnznD9/nvPnz/P5z3+e3+2ll17i0qVL/JE/8kf4uZ/7Od761rcyxr2kfJnyNS2XfBXla1K+bLmEa9f4smvXYGuLL1suGeNUUr5MYbnkK+zswPY2X7Zc8iUKyyXcugXLJV9B4do1UL5MQfkKyhjjPlkwvsr73/9+rly5wpUrV7hy5QpXrlzhLW95C//Vz/zMz/DEE0/woQ99iJ/92Z/lrW99K2OMMcYY42RaML7KO97xDjY3N9nc3GRzc5PNzU3e9KY38bpPfOIT/NRP/RQ//uM/zk/8xE8wxhhjjDFOtgXjtv27f/fv+Gt/7a/xh/7QH+KRRx7hpZde4qWXXuKll17ipZde4td+7dcYY4wxxhgny4Jx2/75P//n/Jf/8l/4N//m3/DEE0/wxBNP8MQTT/DEE0/wxBNP8Pf+3t9jjDHGGGOcLAvGbfvQhz7E4eEhh4eHHB4ecnh4yOHhIYeHhxweHvLss88yxhhjjDFOlgVjjDHGGGM8wBaMMcYYY4zxAFswxhhjjDHGA2zBGGOMMcYYD7AFY4wxxhhjPMAWjDHGGGOM8QBbMMYYY4wxxgNswRhjjDHGGA+wBWOM8f+3Bz+wXdAH/v+ffj5+RmGlM8yySdKMdNaXtONPuTGqO60WljlBPsP1zl0FimkFaxdPXWicg93gdko/6bjhGNixA7W1ByjM7nDDVYYM7ayIWEDh1bCmwxyOVKDXCbUrbb755L4kTaN38/e774V++n48giAIgiCFRQiCIAiCIAiCFBYhCIIgCIIgCFJYhCAIgiAIgiBIYRGCIAiCIAiCIIVFCIIgCIIgCIIUFiFIKXV1dYx0dXV1jHR1dXWMZHV1dYx0dXV1jHR1dXWMZHV1dYx0dXV1BEFShCCl1NfXM9LV19cz0tXX1zOS1dfXM9LV19cz0tXX1zOS1dfXM9LV19cTBEkRgiAIgiAIgiCFRQiCIAiCIAiCFBYhCIIgCIIgCFJYhOB/zZe+9CUkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCSSJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJJIkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkkiQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQRJIkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpBEkiQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkESSJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpJIkoQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkkiShCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhJf+tKXCP5ThOB/TV1dHbaxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW2dWU4fAAAgAElEQVRsYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjm7q6OoL/FCEIgiAIgiAIUliEIAiCIAiCIEhhEYIgCIIgCIIghUUIgiAIgiAIghQWIQiCIAiCIAhSWIQgCIIgCIIgSGERgiAIgiAIgiCFRQiCIAiCIAiCFBYhCIIgCIIgCFJYhCAIgiAIgiBIYRGCYauvr4+Wlhba29v5KP39/bS0tHDmzBlSUV9fHy0tLbS3tzMSdXd309zcTHd3Nx+lv7+flpYWzpw5Qyrq7u6mubmZ7u5uRrLu7m7eeOMNPkx/fz8tLS2cOXOGVNbd3c0bb7xB8OH6+/tpaWnhzJkzBKlnYGAA2xw9epSBgQE+TH9/Py0tLZw5c4aRJkIw7Jw/f55ly5YxdepUFi1axNe+9jVuvvlmWlpaGKy2tpYpU6awaNEirrvuOsrKyuju7iYVnD9/nmXLljF16lQWLVrE1772NW6++WZaWloYbNq0aUhCEpKQhCSam5sZznp7e1m2bBkzZszgrrvuYsaMGdx33310d3czWG1tLVOmTGHRokVcd911lJWV0d3dTSro7e1l2bJlzJgxg7vuuosZM2Zw33330d3dzWDTpk1DEpKQhCQk0dzcTCp56KGHKC0tZaja2lqmTJnCokWLuO666ygrK6O7u5tU9NBDD1FaWspQ06ZNQxKSkIQkJNHc3EwqmDZtGpKQhCQkIYnm5mYuqq2tZcqUKSxatIjrrruOsrIyuru7SQXTpk1DEpKQhCQk0dzczEXTpk1DEpKQhCQk0dzcTCrYuXMnf/3Xf828efP4+te/TmFhIS+//DKD1dbWMmXKFBYtWsR1111HWVkZ3d3djBQRgmHne9/7Hnv27GHdunUcPXqUl156iYkTJ7J06VJOnjxJ0s6dO1mzZg0rV67k6NGj7Nixg7a2Nh5++GFSwfe+9z327NnDunXrOHr0KC+99BITJ05k6dKlnDx5kqTOzk56enpYvHgxiUSCRCJBIpEgkUiQk5PDcFZdXU1TUxM/+9nPsM2WLVt4/fXXWb58ORft3LmTNWvWsHLlSo4ePcqOHTtoa2vj4YcfJhVUV1fT1NTEz372M2yzZcsWXn/9dZYvX85FnZ2d9PT0sHjxYhKJBIlEgkQiQSKRICcnh1Tx7LPPsnv3bobauXMna9asYeXKlRw9epQdO3bQ1tbGww8/TKp59tln2b17N0N1dnbS09PD4sWLSSQSJBIJEokEiUSCnJwchrvOzk56enpYvHgxiUSCRCJBIpEgkUiQk5ND0s6dO1mzZg0rV67k6NGj7Nixg7a2Nh5++GGGu87OTnp6eli8eDGJRIJEIkEikSCRSJCTk0NSZ2cnPT09LF68mEQiQSKRIJFIkEgkyMnJYbhraWnh29/+Nrfddhtvvvkmr7zyCldffTX33XcfZ86cIWnnzp2sWbOGlStXcvToUXbs2EFbWxsPP/wwI0WEYFjp6+vjl7/8JXfffTdFRUVEIhGuuuoqfvjDH9LT08OvfvUrkmpra7npppsoLi4mEomQl5dHVVUVTU1NdHR0MJz19fXxy1/+krvvvpuioiIikQhXXXUVP/zhD+np6eFXv/oVSa2trSSVl5cTj8eJx+PE43Hi8TiZmZkMV/39/WzdupXS0lJuuOEGkvLz81mwYAEvvvgiAwMDJNXW1nLTTTdRXFxMJBIhLy+Pqqoqmpqa6OjoYDjr7+9n69atlJaWcsMNN5CUn5/PggULePHFFxkYGCCptbWVpPLycuLxOPF4nHg8TjweJzMzk1Twhz/8gUceeYQbb7yRoWpra7npppsoLi4mEomQl5dHVVUVTU1NdHR0kCr+8Ic/8Mgjj3DjjTcyVGtrK0nl5eXE43Hi8TjxeJx4PE5mZibDXWtrK0nl5eXE43Hi8TjxeJx4PE5mZiZJtbW13HTTTRQXFxOJRMjLy6OqqoqmpiY6OjoYzlpbW0kqLy8nHo8Tj8eJx+PE43EyMzNJam1tJam8vJx4PE48HicejxOPx8nMzGS4++d//me+9KUv8Z3vfIfRo0dz5ZVXsmrVKqLRKMeOHSOptraWm266ieLiYiKRCHl5eVRVVdHU1ERHRwcjQYRgWOnp6aGmpoZ58+Yx2Kc+9SmSuru76e3tpa2tjaKiIga75ZZbSGpubmY46+npoaamhnnz5jHYpz71KZK6u7tJOnbsGGPHjiUzM5NUEo1GefPNN7n77rsZrLe3l8suu4yk3t5e2traKCoqYrBbbrmFpObmZoazaDTKm2++yd13381gvb29XHbZZVx07Ngxxo4dS2ZmJqloYGCAqqoq5s6dy80338xgvb29tLW1UVRUxGC33HILSc3NzaSCgYEBqqqqmDt3LjfffDNDHTt2jLFjx5KZmUkqOnbsGGPHjiUzM5MP09vbS1tbG0VFRQx2yy23kNTc3MxwduzYMcaOHUtmZiYf5dixY4wdO5bMzExSTU9PDwcPHmThwoUMlpWVxf79+7n++uvp7e2lra2NoqIiBrvllltIam5uZiSIEAwrGRkZ3HrrrVx11VUM9vTTT5N0ww03sH//fpLGjx/PYLFYjLS0NN5++22Gs4yMDG699VauuuoqBnv66adJuuGGG0hqa2sjKyuL0tJScnNzyc3NZeHChXR0dDDcxWIx0tPTGRgYoLu7m4aGBurq6li6dCmRSIT9+/eTNH78eAaLxWKkpaXx9ttvM9zFYjHS09MZGBigu7ubhoYG6urqWLp0KZFIhKS2tjaysrIoLS0lNzeX3NxcFi5cSEdHB6ng8ccf5+zZszz00EMMtX//fpLGjx/PYLFYjLS0NN5++21SweOPP87Zs2d56KGH+DBtbW1kZWVRWlpKbm4uubm5LFy4kI6ODlJBW1sbWVlZlJaWkpubS25uLgsXLqSjo4Ok/fv3kzR+/HgGi8VipKWl8fbbbzOctbW1kZWVRWlpKbm5ueTm5rJw4UI6Ojq4qK2tjaysLEpLS8nNzSU3N5eFCxfS0dHBcPf666+TlJmZyfr164nH4xQVFfHoo4/S3d1N0v79+0kaP348g8ViMdLS0nj77bcZCSIEw15rays/+tGP+MpXvsIXv/hF+vv7SYrFYgwVjUbp6+sj1bS2tvKjH/2Ir3zlK3zxi18kqbW1lfb2dgoKCtiwYQOrVq3ixIkTlJSUcOrUKVLBK6+8wowZM1i5ciUTJkxg/vz5JPX395MUi8UYKhqN0tfXR6p45ZVXmDFjBitXrmTChAnMnz+fi1pbW2lvb6egoIANGzawatUqTpw4QUlJCadOnWI4O3z4MGvXrqW6upoxY8YwVH9/P0mxWIyhotEofX19DHeHDx9m7dq1VFdXM2bMGD5Ma2sr7e3tFBQUsGHDBlatWsWJEycoKSnh1KlTDHetra20t7dTUFDAhg0bWLVqFSdOnKCkpIRTp07R399PUiwWY6hoNEpfXx/DWWtrK+3t7RQUFLBhwwZWrVrFiRMnKCkp4dSpUyS1trbS3t5OQUEBGzZsYNWqVZw4cYKSkhJOnTrFcNbT00PS+vXr2bNnDyUlJdx2220888wzLF68mIGBAfr7+0mKxWIMFY1G6evrYySIEAxrr7/+OmVlZVxzzTUkEglGotdff52ysjKuueYaEokEF61YsYKGhgYqKiooLCykuLiYzZs3c/r0aZ544glSweTJkzl06BDPPfcc6enp3H777bzzzjuMJJMnT+bQoUM899xzpKenc/vtt/POO++QtGLFChoaGqioqKCwsJDi4mI2b97M6dOneeKJJxiuenp6eOCBB7j33nvJz89nJOrp6eGBBx7g3nvvJT8/n4+yYsUKGhoaqKiooLCwkOLiYjZv3szp06d54oknGO5WrFhBQ0MDFRUVFBYWUlxczObNmzl9+jRPPPEEqW7FihU0NDRQUVFBYWEhxcXFbN68mdOnT/PEE0+QtGLFChoaGqioqKCwsJDi4mI2b97M6dOneeKJJxjOLly4QFJ3dzdbt27ljjvu4IEHHmDdunW89dZbPPPMMwT/KUIwbDU2NnLXXXeRn5/Ppk2bGDNmDElpaWkk9fX1MVR/fz+xWIxU0djYyF133UV+fj6bNm1izJgxXDR79mzy8vIYLDs7m5ycHDo6OkgFV1xxBaNGjWLSpEmsX7+ec+fOUV9fT1paGkl9fX0M1d/fTywWI1VcccUVjBo1ikmTJrF+/XrOnTtHfX09SbNnzyYvL4/BsrOzycnJoaOjg+FqzZo1vP/++0yZMoW9e/eyd+9ejh8/zsDAAHv37sU2aWlpJPX19TFUf38/sViM4WzNmjW8//77TJkyhb1797J3716OHz/OwMAAe/fuxTZJs2fPJi8vj8Gys7PJycmho6OD4W727Nnk5eUxWHZ2Njk5OXR0dJCWlkZSX18fQ/X39xOLxRjOZs+eTV5eHoNlZ2eTk5NDR0cHSbNnzyYvL4/BsrOzycnJoaOjg+EsLS2NpL/9278lEolw0fXXX88nP/lJ3njjDdLS0kjq6+tjqP7+fmKxGCNBhGBYWr9+PVVVVcyfP5+NGzcyZswYLpo+fTpJXV1dDNbX18cHH3zA5MmTSQXr16+nqqqK+fPns3HjRsaMGcNFXV1d7Nu3j87OTj5MNBpluOrq6uLFF1/k1KlTDDZu3DjS0tLo7Oxk+vTpJHV1dTFYX18fH3zwAZMnT2Y46+rq4sUXX+TUqVMMNm7cONLS0ujs7KSrq4t9+/bR2dnJh4lGowxXJ06c4OzZs9xzzz0sWbKEJUuW8PTTT3PhwgWWLFnCpk2bmD59OkldXV0M1tfXxwcffMDkyZMZzk6cOMHZs2e55557WLJkCUuWLOHpp5/mwoULLFmyhE2bNtHV1cW+ffvo7Ozkw0SjUYazrq4u9u3bR2dnJx8mGo0yffp0krq6uhisr6+PDz74gMmTJzNcdXV1sW/fPjo7O/kw0WiUrq4u9u3bR2dnJx8mGo0ynE2cOJGkUaNGMVQ0GiVp+vTpJHV1dTFYX18fH3zwAZMnT2YkiBAMOw0NDaxdu5YHH3yQVatWMVQsFiM3N5empiYG27VrF0kzZ85kuGtoaGDt2rU8+OCDrFq1iqHOnDlDeXk5W7duZbCTJ0/S3t5Obm4uw9X58+eprKxk586dDPbuu+9y7tw5Pve5zxGLxcjNzaWpqYnBdu3aRdLMmTMZzs6fP09lZSU7d+5ksHfffZdz587xuc99jjNnzlBeXs7WrVsZ7OTJk7S3t5Obm8twtX79eo4cOcKRI0c4cuQIR44c4bvf/S6f+MQnOHLkCI888gixWIzc3FyampoYbNeuXSTNnDmT4Wz9+vUcOXKEI0eOcOTIEY4cOcJ3v/tdPvGJT3DkyBEeeeQRzpw5Q3l5OVu3bmWwkydP0t7eTm5uLsPZmTNnKC8vZ+vWrQx28uRJ2tvbyc3NJRaLkZubS1NTE4Pt2rWLpJkzZzJcnTlzhvLycrZu3cpgJ0+epL29ndzcXM6cOUN5eTlbt25lsJMnT9Le3k5ubi7DWXZ2NhMmTGDXrl0MdurUKbq7u5k6dSqxWIzc3FyampoYbNeuXSTNnDmTkSBCMKy8++67PProo3z+85/ns5/9LI2NjTQ2NtLY2EhjYyMHDx4kqaysjN27d/Pkk08yMDDA4cOHSSQSzJo1i4kTJzKcvfvuuzz66KN8/vOf57Of/SyNjY00NjbS2NhIY2MjBw8eJDs7m6KiIjZt2sSePXtIOn78OJWVlWRmZrJgwQKGqwkTJjBr1ix+8pOfsHfvXpKOHz/Ovffey6c//WnuvPNOksrKyti9ezdPPvkkAwMDHD58mEQiwaxZs5g4cSLD2YQJE5g1axY/+clP2Lt3L0nHjx/n3nvv5dOf/jR33nkn2dnZFBUVsWnTJvbs2UPS8ePHqaysJDMzkwULFjBcRaNRYrEYsViMWCxGLBbj8ssvJykWixGNRkkqKytj9+7dPPnkkwwMDHD48GESiQSzZs1i4sSJDGfRaJRYLEYsFiMWixGLxbj88stJisViRKNRsrOzKSoqYtOmTezZs4ek48ePU1lZSWZmJgsWLGA4y87OpqioiE2bNrFnzx6Sjh8/TmVlJZmZmSxYsICksrIydu/ezZNPPsnAwACHDx8mkUgwa9YsJk6cyHCVnZ1NUVERmzZtYs+ePSQdP36cyspKMjMzWbBgAdnZ2RQVFbFp0yb27NlD0vHjx6msrCQzM5MFCxYw3H3rW9+iqamJ9evX09fXx8mTJ3nggQcYP3488+bNI6msrIzdu3fz5JNPMjAwwOHDh0kkEsyaNYuJEycyEkQIhpVXX32VP//5z/z+97+nqqqKqqoqqqqqqKqqoqqqiu3bt5M0d+5c7r//fhKJBJMmTaK4uJhrr72W1atXM9y9+uqr/PnPf+b3v/89VVVVVFVVUVVVRVVVFVVVVWzfvp2k6upqioqKqKysRBJz5sxh9OjR1NfXk5GRwXBWU1NDUVERS5YsQRJz5szhsssuo76+niuvvJKkuXPncv/995NIJJg0aRLFxcVce+21rF69mlRQU1NDUVERS5YsQRJz5szhsssuo76+niuvvJKk6upqioqKqKysRBJz5sxh9OjR1NfXk5GRQaqbO3cu999/P4lEgkmTJlFcXMy1117L6tWrGSmqq6spKiqisrISScyZM4fRo0dTX19PRkYGw111dTVFRUVUVlYiiTlz5jB69Gjq6+vJyMggae7cudx///0kEgkmTZpEcXEx1157LatXr2a4q66upqioiMrKSiQxZ84cRo8eTX19PRkZGSRVV1dTVFREZWUlkpgzZw6jR4+mvr6ejIwMhrtvfOMb/MM//AObNm3iC1/4AjfffDPnzp1j8+bNpKenkzR37lzuv/9+EokEkyZNori4mGuvvZbVq1czUkQIhpX58+djG9vYxja2sY1tfvCDH3BRRUUFhw4dYtu2bezfv5+NGzeSkZHBcDd//nxsYxvb2MY2trHND37wA5IyMjKoqamhtbWVLVu2cODAARoaGsjKymK4GzNmDDU1NRw6dIinnnqK3/3ud+zYsYPs7GwGq6io4NChQ2zbto39+/ezceNGMjIySAVjxoyhpqaGQ4cO8dRTT/G73/2OHTt2kJ2dzUUZGRnU1NTQ2trKli1bOHDgAA0NDWRlZZFqSkpKOHz4MENVVFRw6NAhtm3bxv79+9m4cSMZGRmkopKSEg4fPsxgGRkZ1NTU0NraypYtWzhw4AANDQ1kZWWRCjIyMqipqaG1tZUtW7Zw4MABGhoayMrKYrCKigoOHTrEtm3b2L9/Pxs3biQjI4PhLiMjg5qaGlpbW9myZQsHDhygoaGBrKwsLsrIyKCmpobW1la2bNnCgQMHaGhoICsri1RRUlLCa6+9xs6dO3nppZdobGzk6quvZrCKigoOHTrEtm3b2L9/Pxs3biQjI4ORIkKQ0qLRKFOnTiUjI4ORKhaLkZ+fT3p6Oqlm1KhRzJw5k3HjxvFRotEoU6dOJSMjg1Q0atQoZs6cybhx4/gosViM/Px80tPTGYmi0ShTp04lIyODkSoWi5Gfn096ejqpKBaLkZ+fT3p6Oh8lGo0ydepUMjIySDWxWIz8/HzS09P5KLFYjPz8fNLT00lFkUiEnJwcrrrqKj5KNBpl6tSpZGRkMNJECIIgCIIgCIIUFiEIgiAIgiAIUliEIAiCIAiCIEhhEYIgCIIgCIIghUUIgiAIgiAIghQWIQiCIAiCIAhSWIQgCIIgCIIgSGERgiAIgiAIgiCFRQiCIAiC/6u3t5f+/n7+UufPn6e/v58gCIJLWYQgCIIR6NFHH6WgoICCggIKCgooKCigoKCAgoICCgoKKCgooKCggFWrVpH04IMP8uCDD5LKWltbKSoqoqenh7/U+vXreeihhwiCILiURQiCIBiBrrnmGgoLCyksLKSwsJCcnBzOnj3L1VdfTWFhIYWFhRQWFiKJpAsXLnDhwgVS1cDAAN/5zndYunQp6enp/KXuueceXnrpJfbu3UsQBMGlKkIQBMEI9I1vfIPq6mqqq6uprq6mtLSUpJKSEqqrq6murqa6upo77riDpMcee4zHHnuMVFVfX8+f/vQnFixYwMeRnp5OaWkp1dXVBEEQXKoiBEEQBP+tgwcPcvDgQYZ6+eWXWbt2LWvXruXll19mqDfeeIO33nqL8+fPs337dlatWsXOnTsZGBggyTaPPfYYjz32GLYZ6o033uCtt96iq6uL+vp6fvCDH/DLX/6SgYEBPsyePXuoqalh7dq17Nu3j7/U5s2buf3224lEIgz21ltvsXHjRlatWsW//du/8d577zHUHXfcwe9//3t+/etfEwRBcCmKEARBEPy3Hn/8cR5//HEuev/991mwYAFlZWU0NzfT0tJCWVkZpaWlnD9/not+/OMfs2bNGubNm8c//dM/8cILL/Dtb3+bpUuX8q//+q/Mnz+fX/ziF9TW1jJv3jyam5sZ7Mc//jGrV6/mtttuY/v27fzxj39k2bJlxONxzpw5w0Xvvfce8+fP55577mH//v289NJLlJeX881vfpPu7m7+K83NzZw8eZKbbrqJwdatW8ftt9/Ozp07+fd//3dWrlzJ7NmzaWlpYbDMzEymTZvGM888QxAEwaUoQhAEQfCxrVy5ktbWVp5++mm2bt1KQ0MD27Zto7W1ldWrVzPYyy+/zO23384bb7zBK6+8wp133slvf/tbNm/ezJ49e3jxxRf5zW9+w+jRo9myZQtDvfbaa8ybN4+f//znrFu3jmeffZZ33nmHRx99lIu+/e1v84c//IFt27axdetWfv7zn/PUU0/x1ltvsXz5cv4rv/nNb7j88suZOnUqF50/f57169dz77330tjYSG1tLb/97W8ZP348q1evZqgpU6bQ3NzMwMAAQRAEl5oIQRAEwcfS3d3N888/zx133MEXv/hFLpo6dSpf//rX2b59O/39/Vw0evRo7r33Xi664YYbSFq8eDGf+cxnSPrMZz7DzJkz+dOf/sRQ48ePZ9myZVw0adIk/uZv/obnn3+e3t5e2tvbefXVVykvL2fq1KlcNHPmTEpKSnjhhRc4deoUH+Wdd94hOzubSCTCRf/xH/9Bf38/f/rTn7hozJgx/OQnP2Hjxo0M9YUvfIELFy7Q2tpKEATBpSZCEARB8LEcOHCA/v5+bLN8+XKWL1/O8uXLWb58OcePH+fChQscOHCAi/7qr/6KwSKRCEnjx49nsFgsxoeZMWMGQ+Xn59Pf389rr71GW1sbSXl5eQw1Y8YMkt5++20+SmtrK1lZWQx21VVXceONN1JXV8f06dN58MEHaWxsJDMzkyuvvJKhxo4dS9LZs2cJgiC41EQIgiAIPpb+/n6S+vr66Orqoquri66uLrq6urjiiiv4yle+wic/+Ukuuvzyy/n/IxaLMdTll19O0sDAAH19fSTFYjGGikajJPX39/NR/vznPxOJRBiqtraWVatWkZ+fzwsvvEBVVRXXX38969evZ6hoNErSwMAAQRAEl5oIQRAEwccyatQoku68807WrVvHunXrWLduHevWrWPdunWsW7eOvLw8/qecO3eOoc6ePUvShAkTGD16NEnvv/8+Q507d46kUaNG8VHGjx9Pb28vQ0UiEe644w7+5V/+hUOHDvHTn/6UyZMns3btWmwzWG9vL0mxWIwgCIJLTYQgCILgY7n++usZPXo0zz77LEM9/PDD3HDDDfT09PA/Zd++fbz//vsM1tjYyGc/+1lycnIoKCggGo2yc+dOhtq+fTtpaWlcf/31fJRrrrmGN998k8Gam5uZPn06zc3NJEWjUQoLCykrKyPpj3/8I4P98Y9/JCknJ4cgCIJLTYQgCILgY4lGo1RUVPDqq6/yne98h46ODt577z02bNjA9u3bmTVrFqNHj+Z/ygcffEBFRQXHjx/n1KlTfP/73+fAgQM8+OCDJKWnp7N06VJeeOEFqqurOXXqFCdPnuT73/8+zc3NfOtb3yIajfJRpk6dSnd3N93d3Vw0bdo0otEo3/ve92hpaaGnp4eDBw+yYcMGrrzySgoKChjszTff5NOf/jQTJkwgCILgUhMhCIIg+NiWLl1KVVUVTU1NfPWrX+XLX/4y69atY9GiRaxYsYL/SdM/YoUAAAI3SURBVAUFBYwbN445c+Zw44038vzzz/P973+feDzORX//93/P/fffT0NDAzfeeCM333wzu3btYsWKFdx99938V2bPnk3Sb3/7Wy4aM2YMP/3pT4lEIixatIhp06bxzW9+k4GBAX72s58xatQoBnv11Ve59dZbCYIguBRFCIIgCJg9eza2ufXWW/kwtbW11NbWMlhZWRmvvfYazz//PFu2bOHQoUN897vfJRqNctHmzZupra1lsMLCQmwze/ZsBlu3bh2bN29mqLS0NNauXcsrr7zCjh07aGlp4e/+7u8YqqKigoMHD/Lcc8/xi1/8gubmZhYsWMB/53Of+xzXX389zz//PIPl5+fz61//mpdffpmnnnqK3/3udzQ2NjJp0iQGa2lp4fTp05SUlBAEQXApihAEQRD8fxaJRLj66qvJz88nGo3y/9KVV15JXl4ekUiEjxKJRJg0aRKSiEQi/KXuu+8+9u7dy8mTJxkqMzOTmTNnMm7cOD5MQ0MDX/3qV8nOziYIguBSFCEIgiAY8fLz87nlllt4/PHH+TiOHz/O3r17WbZsGUEQBJeqCEEQBMEl68Ybb+TLX/4y/xuWL1/Oe++9R1dXF3+pvXv38o//+I9kZWURBEFwqYoQBEEQXLLuuusuFi1axP+GcePGsX79eq644gr+UmVlZdx2220EQRBcyiIEQRAEQRAEQQqLEARBEARBEAQpLEIQBEEQBEEQpLAIQRAEQRAEQZDCIgRBEARBEARBCvs/zK9lBXtlD0wAAAAASUVORK5CYII=" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S12"><span class = "S2"><span class="S0">Como se puede analizar, las dos respuestas son prácticamente iguales y con lo cual, el sistema real cumple las especificaciones deseadas.</span></span></div></div><div class = "S0"></div><div class = 'SectionBlock containment active'><h1 class = "S1"><span class = "S2"><span class="S0">Ejercicio 15: Diseño e implementación de un I-PD por asignación de polos.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Como se puede observar en la práctica 3, al diseñar un controlador PID con una planta de segundo orden tienen como respuesta un sistema con cuatro polos y tres cero. Para poder diseñar un controlador PID donde se cumplan las especificaciones, hay que hacer dos modificaciones principales, la primera, añadir un nuevo parámetro al controlador para poder fijar los cuatro polos del sistema, y el segundo, modificar la estructura para eliminar el efecto de los ceros.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual, el nuevo controlador, tendrá la siguiente estructura:</span></span></div><div class = "S4"><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="493.5" height="37.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Para eliminar el efecto de los ceros, se propone la siguiente alternativa de introducir las acciones proporcional, integral y derivativa.</span></span></div><div class = "S4"><img class="imageNode" width="633" height="204" style="vertical-align: baseline" src="data:image/png;base64,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"></div><div class = "S4"><span class = "S2"><span class="S0">Esta estructura toma el nombre de controlador I-PD, y como se puede observar, la acción integral se realimenta desde el error, mientras que las acciones proporcional y derivativa se realimentan desde la salida.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">En este ejercicio se desea diseñar un I-PD de control de posición que haga que la respuesta temporal a una entrada escalón presente un sobreimpulso del 80% y una frecuencia de oscilación de 0,5 Hz.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Toma el periodo de muestreo Ts igual a 0,01s. Determinar el valor de </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0">,</span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAnCAYAAAD3h5P5AAACVElEQVRYR+3XSaiNcRjH8Y+xiIVhIRIW5mKp2FAoiRIbc0KUlSEZF6ZISUgoSpkyR0qGhQ0pUylKFpJCmZNEGXr0vLe7uK77npxzU946ndM5//f9Ps/vGU8LzXi1aEa2//BmUf+flb0luqAfHuF1WfnKet4G8zE6Xx1xA9PwtNrw4vntsQPzcAiL8LFW8E4JHY8l2F4WHOfLyl4wBuAEemMcrtcSPhHncA3T8bxW8FbYgJXYh8X4XCt4/XgvTAMqYVcU8yE4hQ6YgDuI70L+eI/6v5dnHjSmSiUJF5DDuJr1/Srd7oMD2IPT+P4nOcrC22JLxjnKawW+ojOWJvTun6DF72Xh3XEEIzEjP3fDAhws2+XKwkfgIl5iCr6l9NvwtqkeV+p5eLgXl3Aey7EzO9yPasLbJSQMqH9F4s3Ci2rCe+EohmMV7uMYYrJNxplG4H1zFtxKtX41pTIxH4PLeJzxfpalNQlnMRfvfmPAoDQ8ZkCE6lMZeBi5OttqNJgYpR8SuD/HaSRgGBftdxRu431joWiq5yHtbszEWmxCJFiPlDNgJ7PkeqYycebL34D3x3EMxVhcyYeG8VOzAsLAC9nZlmV4umJY3jcQ6/P7X7c31fNihDa0MrXO1Wpj9vSIaf0uV8z+h7nxvKm0zstWU5wvGtNmbM3GVMrzSqDFPTHv12UeRELWXU2VvVJ4kaixXkduPKklvEjUmw1tPNX2vEjUmIDRhmMQ1f25qDY89rw5iNIbnCtX3fSrNnw2dmX7XYNoyTVLuEYTtdqe/4c3qECzyv4T3EV6KEauuAMAAAAASUVORK5CYII=" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0"> y </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15" height="19.5" /></span><span class = "S2"><span class="S0"> y </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">α</span><span class = "S2"><span class="S0">. </span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Parámetros de la planta </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">K0=0.82/0.017;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tau0=0.26;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">N=9;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kpot=1.62;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Periodo de muestreo</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ts=0.01;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Especificaciones de control deseadas</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Sp=80; </span><span class="S10">% sobreimpulso</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Fd=0.5; </span><span class="S10">% frecuencia</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Polos de segundo orden continuo que cumplirán las especificaciones</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wd=2*pi*Fd ;</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xi=sqrt((log(Sp/100))^2/(pi^2+log(Sp/100)^2))</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="392DA83A" data-testid="output_1" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">xi = 0.0709</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wn=wd/ sqrt(1-xi^2)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="0D723E5C" data-testid="output_2" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">wn = 3.1495</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">s1=-xi*wn+</span><span class="S0">j</span><span class="S0">*wd</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="E72155A0" data-testid="output_3" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">s1 = -0.2231 + 3.1416i</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">s2=-xi*wn-</span><span class="S0">j</span><span class="S0">*wd</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="1709566B" data-testid="output_4" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">s2 = -0.2231 - 3.1416i</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Polos de segundo orden discreto que cumpliran las especificaciones</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p1=exp(Ts* s1 )</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="23F2D73B" data-testid="output_5" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p1 = 0.9973 + 0.0313i</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p2=exp(Ts* s2 )</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="2BF37888" data-testid="output_6" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p2 = 0.9973 - 0.0313i</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Insertar el tercer y cuarto polo </span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p3=0.8</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="85F9B72E" data-testid="output_7" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p3 = 0.8000</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p4=0.8</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="143A007C" data-testid="output_8" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p4 = 0.8000</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Función de transferencia discreta de la planta </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ptas=tf(</span><span class="S0">[</span><span class="S0">K0*(1/N)*Kpot],[tau0,1,0]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ptaz=c2d(Ptas,Ts,</span><span class="S14">'zoh'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Coeficientes del denominador y enumerador </span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">[Nz ,Dz]= tfdata(Ptaz,</span><span class="S14">'v'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="7D8C7304" data-testid="output_9" data-width="1046" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="7D8C7304" data-testid="output_9" data-width="1046" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="matrixElement veSpecifier saveLoad" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="veVariableName variableNameElement double" style="width: 1046px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><span style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Nz = </span><span class="veVariableValueSummary veMetaSummary" style="white-space: normal; font-style: normal; color: rgb(179, 179, 179); font-size: 12px;">1×3</span></div><div class="valueContainer" data-layout="{"columnWidth":"66","totalColumns":"3","totalRows":"1","charsPerColumn":10}" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableValue" style="width: 200px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"> 0 0.0016 0.0016<br></div><div class="horizontalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div><div class="verticalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="893C4171" data-testid="output_10" data-width="1046" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="893C4171" data-testid="output_10" data-width="1046" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="matrixElement veSpecifier saveLoad" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="veVariableName variableNameElement double" style="width: 1046px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><span style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Dz = </span><span class="veVariableValueSummary veMetaSummary" style="white-space: normal; font-style: normal; color: rgb(179, 179, 179); font-size: 12px;">1×3</span></div><div class="valueContainer" data-layout="{"columnWidth":"66","totalColumns":"3","totalRows":"1","charsPerColumn":10}" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableValue" style="width: 200px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"> 1.0000 -1.9623 0.9623<br></div><div class="horizontalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div><div class="verticalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">a1=Nz(2);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">a0=Nz(3);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">b1=Dz(2);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">b0=Dz(3);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Definiciones de las matrices A y B</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">A=[1 a1 0 0; </span><span class="S13">...</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> b1-1 a0 a1 0; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> b0-b1 0 a0 a1; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> -b0 0 0 a0] ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">b=[-b1+1-p1-p2-p3-p4; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> -b0+b1+p1*p2-(-p1-p2)*p3-(-p1-p2-p3)*p4; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> b0-p1*p2*p3-(p1*p2-(-p1-p2)*p3)*p4; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> p1*p2*p3*p4] ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Controlador </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">x=</span><span class="S0">inv</span><span class="S0">(A)*b ; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">alpha=x(1)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="4C4B7BD3" data-testid="output_11" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">alpha = -0.6472</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">c2=x(2)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="DF75969D" data-testid="output_12" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">c2 = 9.0217</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">c1=x(3)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="69FE6D9B" data-testid="output_13" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">c1 = -17.8623</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">c0=x(4)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="5B44C2D4" data-testid="output_14" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">c0 = 8.8526</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">A2=[1 1 1; alpha-1 alpha+1 -2; -alpha alpha 1];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">B2=[c2;c1;c0];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">x2=</span><span class="S0">inv</span><span class="S0">(A2)*B2;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">kp = x2(1)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="FAFBC33C" data-testid="output_15" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">kp = 0.3994</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ki = (2/Ts)*x2(2)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="1631B65E" data-testid="output_16" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">ki = 3.4247</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">kd = Ts*x2(3)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="87156200" data-testid="output_17" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">kd = 0.0861</div></div></div></div></div><div class = "S12"><span class = "S2"><span class="S0">En el caso de la práctica 3 la función de transferencia obtenida tenía la siguiente estructura:</span></span></div><div class = "S4"><span style="vertical-align:-20px"><img 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" width="894.5" height="43" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Como podemos observar, al fijar los polos mediante las ganancias del controlador, automáticamente se fijan los ceros de lazo cerrado. Las expresiones de los polos de lazo cerrado son los siguientes:</span></span></div><div class = "S4"><span style="vertical-align:-20px"><img src="data:image/png;base64,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" width="454.5" height="50" /></span></div><div class = "S4"><span class = "S2"><span class="S0">En el caso del I-PD sin embargo, la función de transferencia de lazo cerrado es la siguiente:</span></span></div><div class = "S4"><span style="vertical-align:-20px"><img src="data:image/png;base64,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" width="1464" height="42.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Como podemos observar, en este caso, los ceros estan fijados en:</span></span></div><div class = "S4"><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="163" height="37.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Para obtener las ecuaciones de sintonía, sin embargo, como podemos ver, la ecuación obtenida no es lineal, con lo cual substituiremos el controlador con la forma canónica del PID y después los relacionaremos con el PID implementado.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">La función de transferencia canónica del PID tiene la siguiente forma:</span></span></div><div class = "S4"><span style="vertical-align:-15px"><img src="data:image/png;base64,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" 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" width="267" height="38" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual el denominador de la función de transferencia de lazo cerrado con el controlador canónico toma la forma:</span></span></div><div class = "S4"><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="739" height="20" /></span></div><div class = "S4"><span class = "S2"><span class="S0">El polinomio es de orden cuatro, con lo cual tendrá cuatro polos y la ecuación característica será:</span></span></div><div class = "S4"><span style="vertical-align:-30px"><img src="data:image/png;base64,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" width="426" height="67.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Como es un sistema de cuarto orden y cuatro incógnitas, igualando los coeficientes y representándolo en forma matricial, el sistema en lazo cerrado sería:</span></span></div><div class = "S4"><span style="vertical-align:-41px"><img src="data:image/png;base64,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" width="509.5" height="91.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Este sistema lineal es fácilmente resoluble utilizando MATLAB. La ecuación es </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="50" height="18" /></span><span class = "S2"><span class="S0">, donde </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">A</span><span class = "S2"><span class="S0"> es una matriz </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="31.5" height="18" /></span><span class = "S2"><span class="S0"> y </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">b</span><span class = "S2"><span class="S0"> es un vector columna con </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">n</span><span class = "S2"><span class="S0"> elementos, entonces, </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="88.5" height="18" /></span><span class = "S2"><span class="S0">.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Por último, para obtener los parámetros </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="60.5" height="19.5" /></span><span class = "S2"><span class="S0"> obtendremos la relación entre nuestro controlador y el modelo canónico.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Nuestro controlador, se puede representar también de la siguiente manera:</span></span></div><div class = "S4"><span style="vertical-align:-15px"><img src="data:image/png;base64,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" width="468" height="39" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual, igualando los coeficientes y representándolo en forma matricial:</span></span></div><div class = "S4"><span style="vertical-align:-31px"><img src="data:image/png;base64,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" width="213" height="71.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Como se ha hecho anteriormente, este sistema es fácilmente soluble mediante MATLAB, siendo la solución </span></span><span style="vertical-align:-5px"><img 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width="88.5" height="18" /></span><span class = "S2"><span class="S0">.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Dibujar la respuesta del motor</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">if </span><span class="S0">useExperimentalData</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S10">% Usar Simulink</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> addpath</span><span class="S0">(</span><span class="S0">[pwd filesep </span><span class="S14">'IPDpos'</span><span class="S0">]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> open </span><span class="S14">IPD_real_ideal.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> run </span><span class="S14">IPD_real_ideal.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">else</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FileName = </span><span class="S14">'IPD_real_ideal.mat'</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FolderName = [pwd filesep </span><span class="S14">'Common' </span><span class="S0">filesep </span><span class="S14">'Resultados' </span><span class="S0">filesep </span><span class="S14">'Prac4'</span><span class="S0">];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> File = fullfile(FolderName, FileName);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> load(File); </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">end</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(IPD_real_ideal.time,</span><span class="S0">[</span><span class="S0">IPD_real_ideal.signals.values(:,1,:)],</span><span class="S14">'r'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span><span class="S0">; grid </span><span class="S14">on</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(IPD_real_ideal.time,</span><span class="S0">[</span><span class="S0">IPD_real_ideal.signals.values(:,2,:)],</span><span class="S14">'b'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(IPD_real_ideal.time,</span><span class="S0">[</span><span class="S0">IPD_real_ideal.signals.values(:,3,:)],</span><span class="S14">'g'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlim([16 48]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlabel(</span><span class="S14">'Tiempo (s)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ylabel(</span><span class="S14">'Voltaje (V)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">title(</span><span class="S14">'Referencia, simulación y salida real'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'Referencia'</span><span class="S0">,</span><span class="S14">'Respuesta Real'</span><span class="S0">,</span><span class="S14">'Siumulación'</span><span class="S0">);</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="829CC65B" data-testid="output_18" 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S12"><span class = "S2"><span class="S0">Como podemos observar, en este caso, las especificaciones se cumplen en el caso ideal (simulación con el modelo de la planta), pero a la hora de controlar la planta real con esta simulación, podemos observar que, aunque el controlador sea capaz de controlar la planta, las respuestas son bastante distintas. Esto es porque el modelo de la planta no representa fielmente la planta real, ya que hay dinámicas no modeladas.</span></span></div></div></div><br><!-- <br>##### SOURCE BEGIN #####<br>%% *Práctica 4: Mejora de los controladores PID implementados en la práctica 3*<br>% Las prácticas de la asignatura control por computador consisten en el estudio <br>% de un servomecanismo de posicionamiento angular (LJ Technical Systems) controlado <br>% por un PC. Las sesiones de laboratorio P1 y P2 se centran en el análisis experimental <br>% de las respuestas temporal y frecuencial del sistema respectivamente. Las sesiones <br>% P3 y P4 se dedican al diseño de controladores PID. Por último, en la práctica <br>% P5 se diseñarán controladores en campo frecuencial.<br>% <br>% *OBJETIVO: Diseñar un controlador I-P de velocidad de salida para que el <br>% sistema de lazo cerrado tenga un error estacionario nulo. Diseñar un controlador <br>% I-PD de la posición del eje de salida para la planta estudiada en las sesiones <br>% anteriores para que el sistema en lazo cerrado cumpla unas ciertas especificaciones.*<br>% <br>% *En esta sesión el estudiante ha de:*<br>% <br>% * *Diseñar un I-P y un I-PD por asignación de polos.*<br>% * *Verificar experimentalmente el sistema de control diseñado.*<br><br>% Alternar entre los datos del experimento y los del directorio Resultados<br>% Si desea usar los datos del directorio Resultados = false<br>% Si desea usar datos propios = true<br>useExperimentalData = false;<br>%% Ejercicio 14: Diseño e implementación de un I-P por asignación de polos.<br>% Como se puede observar en la práctica 3, al diseñar un controlador PI con <br>% una planta de primer orden tienen como respuesta un sistema con dos polos y <br>% un cero. Este último, tiene un efecto negativo en la dinámica del sistema, normalmente <br>% haciéndola un poco más rápida de lo deseado, es por eso, que obteníamos un pequeño <br>% sobreimpulso. Para eliminar el efecto del cero, se propone la siguiente alternativa <br>% de introducir las acciones proporcional e integral.<br>% <br>% <br>% <br>% Esta estructura toma el nombre de controlador I-P, y como se puede observar, <br>% la acción integral se realimenta desde el error, mientras que la parte proporcional <br>% se realimenta desde la salida, es por esto, que la respuesta a un escalón del <br>% sistema con un controlador I-P será más suave que la de un sistema con un controlador <br>% PI. Como se ha hecho en el P3, se desea diseñar un I-P de control de velocidad <br>% que haga que la respuesta temporal a una entrada escalón no presente sobreimpulsos <br>% y que el tiempo de establecimiento (con el criterio del 2%) sea de 0.8 segundos. <br>% Para la simulación del controlador I-P digital, abrir y ejecutar el modelo P4_Ex14a.slx. <br>% Para su comprobación con el motor, abrir y ejecutar el modelo P4_Ex14b.slx.<br>%%<br>% Planta<br>K0=0.82;<br>tau0=0.26;<br><br>% Periodo de muestreo<br>Ts=0.01;<br><br>% Especificaciones<br>xi=1;<br>ts_2=0.8; % tiempo de establecimiento con el criterio de 2%<br>Tdes=ts_2/4;<br>wn=5.8/(xi*ts_2);<br><br>% Diseño del controlador<br>Zdes=exp(-Ts/Tdes);<br>alpha=exp(-Ts/tau0);<br>beta=-2*exp(-Ts*xi*wn)*cos(wn*Ts*sqrt(1-xi^2));<br>gamma=exp(-2*Ts*xi*wn);<br><br>Ki_star=(gamma-alpha+beta+(alpha+1))/(2*K0*(1-alpha));<br>Ki=(2/Ts)*Ki_star;<br>Kp=((beta+alpha+1)/(K0*(1-alpha)))-Ki_star;<br>%% <br>% Para diseñar el controlador, se han seguido los siguientes pasos. Primeramente, <br>% se ha digitalizado la planta con un mantenedor de orden cero y se ha escogido <br>% un controlador PI discretizado mediante la aproximación trapezoidal.<br>% <br>% $$\mathrm{motor}:G\left(z\right)=k_{\mathrm{mot}} \frac{1-\alpha }{z-\alpha <br>% }\;\;\;\;\;\;\;\;\;\mathrm{donde}\;\;\;\;\;\;\;\;\;\;\;\;\alpha =e^{-\frac{T_s <br>% }{\tau_0 }}$$<br>% <br>% $$\mathrm{controlador}\;\mathrm{PI}:\mathrm{PI}\left(z\right)=k_p +k_i <br>% \frac{T_s }{2}\frac{z+1}{z-1}=k_p +k_i^* \frac{z+1}{z-1}\;\;\;\;\;\;\mathrm{donde}\;\;\;\;k_i^* <br>% =k_i \frac{T_s }{2}$$<br>% <br>% <br>% <br>% En este caso, la función de transferencia de lazo cerrado:<br>% <br>% $$\mathrm{l}c\left(z\right)=\frac{\mathrm{IP}\left(z\right)G\left(z\right)}{1+\mathrm{IP}\left(z\right)G\left(z\right)}=\frac{k_{\textrm{mot}} <br>% k_i^* \left(z+1\right)\left(1-\alpha \right)}{\left(z-1\right)\left(z-\alpha <br>% \right)+k_{\textrm{mot}} \left(k_p +k_i^* \right)\left(z+\frac{k_i^* -k_p }{k_i^* <br>% +k_p }\right)\left(1-\alpha \right)}$$<br>% <br>% En el caso del PI la función de transferencia de lazo cerrado era:<br>% <br>% $$\mathrm{l}c\left(z\right)=\frac{\mathrm{PI}\left(z\right)G\left(z\right)}{1+\mathrm{PI}\left(z\right)G\left(z\right)}=\frac{k_{\textrm{mot}} <br>% k_i^* \left(z+\frac{k_i^* -k_p }{k_i^* +k_p }\right)\left(1-\alpha \right)}{\left(z-1\right)\left(z-\alpha <br>% \right)+k_{\textrm{mot}} \left(k_p +k_i^* \right)\left(z+\frac{k_i^* -k_p }{k_i^* <br>% +k_p }\right)\left(1-\alpha \right)}$$<br>% <br>% Como podemos observar, al fijar los polos mediante las ganancias del controlador, <br>% automáticamente se fija el cero de lazo cerrado. Sin embargo, si analizamos <br>% el cero de la arquitectura del I-P, podemos ver como el cero se fija en z=-1. <br>% Vale la pena comentar que la acción proporcional del controlador de IP no ve <br>% la referencia, por lo que la respuesta del sistema de lazo cerrado a una entrada <br>% por escalón de un controlador del IP es más suave que la del PI.<br>% <br>% Como el denominador de lazo cerrado es el mismo que el obtenido en la práctica <br>% 3, las ecuaciones utilizadas para ajustar los parámetros del controlador son <br>% exactamente las mismas que las utilizadas para el controlador PI.<br>% <br>% $$\begin{array}{l}\mathrm{eq}\;\mathrm{real}:z^2 +\left\lbrack \left(k_p <br>% +k_i^* \right)k_{\mathrm{mot}} \left(1-\alpha \right)-\left(\alpha +1\right)\right\rbrack <br>% z+\alpha +k_{\mathrm{mot}} \left(k_i^* -k_p \right)\left(1-\alpha \right)=0\\\mathrm{eq}\;\mathrm{ideal}:z^2 <br>% -2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n T_s \sqrt{1-\xi^2 }\right)z+e^{-2T_s <br>% \xi \omega_n } \end{array}$$<br>% <br>% Con lo cual, las ecuaciones de sintonía serían:<br>% <br>% $$\begin{array}{l}k_p =\frac{-\left(-2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n <br>% T_s \sqrt{1-\xi^2 }\right)+e^{-2T_s \xi \omega_n } +1\right)}{T_s \;k_{\mathrm{mot}} <br>% \;\left(\alpha -1\right)}\\k_i =\frac{-2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n <br>% T_s \sqrt{1-\xi^2 }\right)+e^{-2T_s \xi \omega_n } +1}{2{\;k}_{\mathrm{mot}} <br>% \;\left(\alpha -1\right)}-\frac{\alpha -2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n <br>% T_s \sqrt{1-\xi^2 }\right)+1}{k_{\mathrm{mot}} \;\left(\alpha -1\right)}\end{array}$$<br>% <br>% Las respuestas ideal y real del controlador I-P se pueden observar en la <br>% siguiente imagen.<br><br>% Dibujar la respuesta del motor<br>if useExperimentalData<br> % Usar Simulink<br> addpath([pwd filesep 'IPvel']);<br> open IP_experimental.slx;<br> run IP_experimental.slx;<br>else<br> FileName = 'IP_ideal.mat';<br> cd('..')<br> FolderName = [pwd filesep 'Common' filesep 'Resultados' filesep 'Prac3'];<br> File = fullfile(FolderName, FileName);<br> load(File); <br> <br> FileName = 'IP_real.mat';<br> FolderName = [pwd filesep 'Common' filesep 'Resultados' filesep 'Prac3'];<br> File = fullfile(FolderName, FileName);<br> load(File); <br>end<br><br>figure<br>plot(IP_ideal.time,[IP_ideal.signals.values(:,1,:)],'r')<br>hold on; grid on;<br>plot(IP_real.time,[IP_real.signals.values(:,2,:)],'b')<br>plot(IP_ideal.time,[IP_ideal.signals.values(:,2,:)],'g')<br>xlim([18 60]); ylim([-2.3 2.3]);<br>xlabel('Tiempo (s)');<br>ylabel('Voltaje (V)');<br>title('Referencia, simulación y salida real');<br>legend('Referencia','Respuesta Real','Siumulación');<br>%% <br>% Como se puede analizar, las dos respuestas son prácticamente iguales y <br>% con lo cual, el sistema real cumple las especificaciones deseadas.<br>%% Ejercicio 15: Diseño e implementación de un I-PD por asignación de polos.<br>% Como se puede observar en la práctica 3, al diseñar un controlador PID con <br>% una planta de segundo orden tienen como respuesta un sistema con cuatro polos <br>% y tres cero. Para poder diseñar un controlador PID donde se cumplan las especificaciones, <br>% hay que hacer dos modificaciones principales, la primera, añadir un nuevo parámetro <br>% al controlador para poder fijar los cuatro polos del sistema, y el segundo, <br>% modificar la estructura para eliminar el efecto de los ceros.<br>% <br>% Con lo cual, el nuevo controlador, tendrá la siguiente estructura:<br>% <br>% $$\textrm{controlador}\;\textrm{PI}\mathrm{D}:\mathrm{P}\textrm{ID}\left(z\right)=k_p <br>% +k_i^* \frac{z+1}{z-1}+k_d^* \;\frac{z-1}{z+\alpha }\;\;\;\;\textrm{donde}\;\;\;\;k_i^* <br>% =k_i \frac{T_s }{2}\;\;y\;k_d^* =\frac{k_d }{T_s }$$<br>% <br>% Para eliminar el efecto de los ceros, se propone la siguiente alternativa <br>% de introducir las acciones proporcional, integral y derivativa.<br>% <br>% <br>% <br>% Esta estructura toma el nombre de controlador I-PD, y como se puede observar, <br>% la acción integral se realimenta desde el error, mientras que las acciones proporcional <br>% y derivativa se realimentan desde la salida.<br>% <br>% En este ejercicio se desea diseñar un I-PD de control de posición que haga <br>% que la respuesta temporal a una entrada escalón presente un sobreimpulso del <br>% 80% y una frecuencia de oscilación de 0,5 Hz.<br>% <br>% Toma el periodo de muestreo Ts igual a 0,01s. Determinar el valor de $k_p$,$\;k_i$ <br>% y $k_d$ y $\alpha$. <br>%%<br>% Parámetros de la planta <br>K0=0.82/0.017;<br>tau0=0.26;<br>N=9;<br>Kpot=1.62;<br><br>% Periodo de muestreo<br>Ts=0.01;<br><br>% Especificaciones de control deseadas<br>Sp=80; % sobreimpulso<br>Fd=0.5; % frecuencia<br><br>% Polos de segundo orden continuo que cumplirán las especificaciones<br>wd=2*pi*Fd ;<br>xi=sqrt((log(Sp/100))^2/(pi^2+log(Sp/100)^2))<br>wn=wd/ sqrt(1-xi^2)<br>s1=-xi*wn+j*wd<br>s2=-xi*wn-j*wd<br>% Polos de segundo orden discreto que cumpliran las especificaciones<br>p1=exp(Ts* s1 )<br>p2=exp(Ts* s2 )<br>% Insertar el tercer y cuarto polo <br>p3=0.8<br>p4=0.8<br>% Función de transferencia discreta de la planta <br>Ptas=tf([K0*(1/N)*Kpot],[tau0,1,0]);<br>Ptaz=c2d(Ptas,Ts,'zoh');<br><br>% Coeficientes del denominador y enumerador <br>[Nz ,Dz]= tfdata(Ptaz,'v')<br>a1=Nz(2);<br>a0=Nz(3);<br>b1=Dz(2);<br>b0=Dz(3);<br><br>% Definiciones de las matrices A y B<br>A=[1 a1 0 0; ...<br> b1-1 a0 a1 0; <br> b0-b1 0 a0 a1; <br> -b0 0 0 a0] ;<br>b=[-b1+1-p1-p2-p3-p4; <br> -b0+b1+p1*p2-(-p1-p2)*p3-(-p1-p2-p3)*p4; <br> b0-p1*p2*p3-(p1*p2-(-p1-p2)*p3)*p4; <br> p1*p2*p3*p4] ;<br><br>% Controlador <br>x=inv(A)*b ; <br><br>alpha=x(1)<br>c2=x(2)<br>c1=x(3)<br>c0=x(4)<br>A2=[1 1 1; alpha-1 alpha+1 -2; -alpha alpha 1];<br>B2=[c2;c1;c0];<br><br>x2=inv(A2)*B2;<br><br>kp = x2(1)<br>ki = (2/Ts)*x2(2)<br>kd = Ts*x2(3)<br>%% <br>% En el caso de la práctica 3 la función de transferencia obtenida tenía <br>% la siguiente estructura:<br>% <br>% $$\mathrm{cl}\left(z\right)=\frac{a_1 \left(k_p +k_i^* {+k}_d^* \right)z^3 <br>% +\left\lbrack a_1 \left(k_i^* -k_p -2k_d^* \right)+a_0 \left(k_p +k_i^* {+k}_d^* <br>% \right)\right\rbrack z^2 +\left\lbrack a_1 k_d^* +a_0 \left(k_i^* -k_p -2k_d^* <br>% \right)\right\rbrack z+a_0 k_d^* }{z^4 +\left(-1+k_i^* a_1 +b_1 +k_d^* a_1 +k_p <br>% a_1 \right)z^3 +\left(-b_1 -k_p a_1 +k_p a_0 +b_0 -2k_d^* a_1 +k_i^* a_0 +k_i^* <br>% a_1 +k_d^* a_0 \right)z^2 +\left(k_i^* a_0 -b_0 -2k_d^* a_0 -k_p a_0 +k_d^* <br>% a_1 \right)z+k_d^* a_0 }$$<br>% <br>% Como podemos observar, al fijar los polos mediante las ganancias del controlador, <br>% automáticamente se fijan los ceros de lazo cerrado. Las expresiones de los polos <br>% de lazo cerrado son los siguientes:<br>% <br>% $$z_{1,2} =\frac{-\left(k_i^* -k_p -2k_d^* \right)\pm \sqrt{-4k_d^* \left(k_p <br>% +k_i^* {+k}_d^* \right)+{\left(k_i^* -k_p -2k_d^* \right)}^2 }}{2\left(k_p +k_i^* <br>% {+k}_d^* \right)}\;,\;z_3 =\frac{a_0 }{a_1 }$$<br>% <br>% En el caso del I-PD sin embargo, la función de transferencia de lazo cerrado <br>% es la siguiente:<br>% <br>% $$\textrm{cl}\left(z\right)=\frac{k_i^* \left(z+1\right)\left(a_1 z+a_0 <br>% \right)\left(z+\alpha \right)}{z^4 +\left(b_1 -1+\alpha +k_i^* a_1 +k_d^* a_1 <br>% +k_p a_1 \right)z^3 +\left(b_0 -b_1 +b_1 \alpha -\alpha +k_p a_1 \left(\alpha <br>% -1\right)+k_p a_0 -2k_d^* a_1 +k_i^* a_0 +k_i^* a_1 \left(\alpha +1\right)+k_d^* <br>% a_0 \right)z^2 +\left(-b_0 +b_0 \alpha -b_1 \alpha +k_p a_0 \left(\alpha -1\right)-k_p <br>% a_1 \alpha +k_i^* a_0 \left(\alpha +1\right)+k_i^* a_1 \alpha -2k_d^* a_0 +k_d^* <br>% a_1 \right)z+k_d^* a_0 +k_i^* a_0 \alpha -k_p a_0 \alpha -b_0 \alpha }$$<br>% <br>% Como podemos observar, en este caso, los ceros estan fijados en:<br>% <br>% $$z_1 =-1,z_2 =-\alpha ,z_3 =\frac{-a_0 }{a_1 }$$<br>% <br>% Para obtener las ecuaciones de sintonía, sin embargo, como podemos ver, <br>% la ecuación obtenida no es lineal, con lo cual substituiremos el controlador <br>% con la forma canónica del PID y después los relacionaremos con el PID implementado.<br>% <br>% La función de transferencia canónica del PID tiene la siguiente forma:<br>% <br>% $$\textrm{controlador}\;\textrm{PI}\mathrm{D}:\mathrm{P}\textrm{ID}\left(z\right)=\frac{c_2 <br>% z^2 +c_1 z+c_0 }{\left(z-1\right)\left(z+\alpha \right)}$$<br>% <br>% $$\mathrm{planta}\;\mathrm{segundo}\;\mathrm{orden}:G\left(z\right)=\frac{a_{1\;} <br>% z+a_0 }{z^2 +b_{1\;} z+b_0 }$$<br>% <br>% Con lo cual el denominador de la función de transferencia de lazo cerrado <br>% con el controlador canónico toma la forma:<br>% <br>% $$\textrm{Den}\left(z\right)=z^4 +\left\lbrack \alpha -1+b_1 +c_2 a_1 \right\rbrack <br>% z^3 +\left\lbrack \left(b_1 -1\right)\alpha -b_1 +b_0 +a_1 c_1 +a_0 c_2 \right\rbrack <br>% z^2 +\left\lbrack \left(b_0 -b_1 \right)\alpha -b_0 +a_0 c_1 +c_0 a_1 \right\rbrack <br>% z+c_0 a_0 -\alpha b_0$$<br>% <br>% El polinomio es de orden cuatro, con lo cual tendrá cuatro polos y la ecuación <br>% característica será:<br>% <br>% $$\begin{array}{l}\mathrm{Den}\left(z\right)=\left(z-p_1 \right)\left(z-p_2 <br>% \right)\left(z-p_3 \right)\left(z-p_4 \right)=z^4 +\left(-p_1 {-p}_2 -p_3 -p_4 <br>% \right)z^3 \\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;+\left(p_1 p_2 -\left({-p}_1 <br>% -p_2 \right)p_3 -\left(-p_1 -p_2 -p_3 \right)p_4 \right)z^2 \\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;+\left({-p}_1 <br>% p_2 p_3 -\left(p_1 p_2 -\left({-p}_1 -p_2 \right)p_3 \right)p_4 \right)z+p_1 <br>% p_2 p_3 p_4 \end{array}$$<br>% <br>% Como es un sistema de cuarto orden y cuatro incógnitas, igualando los coeficientes <br>% y representándolo en forma matricial, el sistema en lazo cerrado sería:<br>% <br>% $$\left\lbrack \begin{array}{cccc}1 & a_1 & 0 & 0\\b_1 -1 & a_0 & a_1 <br>% & 0\\b_0 -b_1 & 0 & a_0 & a_1 \\-b_0 & 0 & 0 & a_0 \end{array}\right\rbrack <br>% \left\lbrack \begin{array}{c}\alpha \\c_2 \\c_1 \\c_0 \end{array}\right\rbrack <br>% =\left\lbrack \begin{array}{c}1-b_1 -p_1 {-p}_2 -p_3 -p_4 \\b_1 -b_0 +p_1 p_2 <br>% -\left({-p}_1 -p_2 \right)p_3 -\left(-p_1 -p_2 -p_3 \right)p_4 \\b_0 {-p}_1 <br>% p_2 p_3 -\left(p_1 p_2 -\left({-p}_1 -p_2 \right)p_3 \right)p_4 \\p_1 p_2 p_3 <br>% p_4 \end{array}\right\rbrack$$<br>% <br>% Este sistema lineal es fácilmente resoluble utilizando MATLAB. La ecuación <br>% es $A\;x=b$, donde $A$ es una matriz $n\;x\;n$ y $b$ es un vector columna con <br>% $n$ elementos, entonces, $x=\mathrm{inv}\left(A\right)·b$.<br>% <br>% Por último, para obtener los parámetros $k_p {,\;k}_i \;y\;k_d$ obtendremos <br>% la relación entre nuestro controlador y el modelo canónico.<br>% <br>% Nuestro controlador, se puede representar también de la siguiente manera:<br>% <br>% $$\mathrm{P}\textrm{ID}\left(z\right)=\frac{\left(k_p +k_i^* +k_d^* \right)z^2 <br>% +\left(k_p \left(\alpha -1\right)+k_i^* \left(\alpha +1\right)-2k_d^* \right)z-k_p <br>% \alpha +k_i^* \alpha +k_d^* }{\left(z-1\right)\left(z+\alpha \right)}$$<br>% <br>% Con lo cual, igualando los coeficientes y representándolo en forma matricial:<br>% <br>% $$\left\lbrack \begin{array}{ccc}1 & 1 & 1\\\alpha -1 & \alpha +1 & -2\\-\alpha <br>% & \alpha & 1\end{array}\right\rbrack \left\lbrack \begin{array}{c}k_p \\k_i^* <br>% \\k_d^* \end{array}\right\rbrack =\left\lbrack \begin{array}{c}c_2 \\c_1 \\c_0 <br>% \end{array}\right\rbrack$$<br>% <br>% Como se ha hecho anteriormente, este sistema es fácilmente soluble mediante <br>% MATLAB, siendo la solución $x=\textrm{inv}\left(A\right)·b$.<br><br>% Dibujar la respuesta del motor<br>if useExperimentalData<br> % Usar Simulink<br> addpath([pwd filesep 'IPDpos']);<br> open IPD_real_ideal.slx;<br> run IPD_real_ideal.slx;<br>else<br> FileName = 'IPD_real_ideal.mat';<br> FolderName = [pwd filesep 'Common' filesep 'Resultados' filesep 'Prac4'];<br> File = fullfile(FolderName, FileName);<br> load(File); <br>end<br><br>figure<br>plot(IPD_real_ideal.time,[IPD_real_ideal.signals.values(:,1,:)],'r')<br>hold on; grid on;<br>plot(IPD_real_ideal.time,[IPD_real_ideal.signals.values(:,2,:)],'b')<br>plot(IPD_real_ideal.time,[IPD_real_ideal.signals.values(:,3,:)],'g')<br>xlim([16 48]);<br>xlabel('Tiempo (s)');<br>ylabel('Voltaje (V)');<br>title('Referencia, simulación y salida real');<br>legend('Referencia','Respuesta Real','Siumulación');<br>%% <br>% Como podemos observar, en este caso, las especificaciones se cumplen en <br>% el caso ideal (simulación con el modelo de la planta), pero a la hora de controlar <br>% la planta real con esta simulación, podemos observar que, aunque el controlador <br>% sea capaz de controlar la planta, las respuestas son bastante distintas. Esto <br>% es porque el modelo de la planta no representa fielmente la planta real, ya <br>% que hay dinámicas no modeladas.<br>##### SOURCE END #####<br>--></body></html>