Función Lineal (parte 1)
Dentro de las funciones definidas por fórmulas, vamos a analizar una de ellas, que es muy importante por sus aplicaciones tanto en Física como en otras ciencias: la función lineal. Vamos a analizar el recorrido de un auto que viaja a una velocidad constante de
![](data:image/png;base64,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)
La representación gráfica de esta función la como resultado una línea recta, en este caso en particular, tiene un dominio restringido (parte en un t=0) por lo que Dom(f)=[ ).
Supongamos que otros dos autos parten del mismo lugar y al mismo tiempo pero con velocidades de y respectivamente. La representación gráfica de los tres autos en un mismo sistema de ejes cartesianos sería la siguiente:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdgAAAH/CAYAAAD0cMwXAAAABHNCSVQICAgIfAhkiAAAIABJREFUeF7snQmYVMX19g8DzDAMgxMHBsEMDIKgCAIxSowkgBoXVBYVBSQCLgkgEUyigp+Gwb8LURPADYwaIIkkChqjoiZiFEWN0bgEIYIQWcI2iILD4sAAX73FVHv79jLdfXu5y3uep5+ZvvdW3apf3e7Tp+rUOQ0OKRGPSoMGDXTLnXRh586duo4jjjgiJQpeL79kyRLd7z59+gSy/07Hj/ycfX7Ij/ycfP9+sX69rD3xRDlY9z2OusqnT5eyiRMT+j7L9POXl1AreBEJkAAJkAAJuIzAxvPPD1OuJQMHJqxcs9GVRtm4SabvYayQVO6ze/fuVIqFyni9vOlIqgy93n+n7Sc/Z58f8iO/VL+At02aJDXLloWK53ftKkfee6+k8l2WShncuL7vD1qwqY4uy5EACZAACeSEQPX8+bJz9uzQvfOaN5dWs2ZJXopLfZnqhC8s2FTXT61QndbB8qmtYZsxID/yc/Ilx+cnOM/Png8+kM9uuinscWk/b56U9O6d8iOUqeeHFmzKQ8KCJEACJEAC2SRwYMcOWTN4sOCvkSPVVHHJoEHZbEbC96KCTRgVLyQBEiABEsglASjXfWvXhppQeNppAgXrVqGCdevIsF0kQAIkQAIhApsqK6X61VdD7/PbtZPWai3WzUIF6+bRYdtIgARIgARkx9NPy+apU0MkGipnpg7qmNucmuxDRQVrJ8L3JEACJEACriEAp6a1o0eHtad8xgxp2qOHa9oYqyFUsLHI8DgJkAAJkEBOCcCZaZ1SrlanprIJE6R01KictivRm1PBJkqK15EACZAACWSVACxXWLBGilVIV1ivXpGoCna22sDbvn17KS4uln79+slHH32k+/Poo48K4v9aX1dddZU+t2rVKh3Ptrna8NuzZ09ZunSpPv7xxx/r62+77Tb9nkICJEACJEAC9RGAUxPWXo2Yddf6yrnpfESgCQQ/Hjt2rJxzzjly6qmnyrRp02T48OHy73//OxSCapaKmNGiRQvdDyhiyChlskOZ3qQ2AEMRDx06VNZa3Knd1Gm2hQRIgARIwL0E4C1sdWpCSzupYw1LStzb6Cgti7Bga2pq5Gc/+5k89thj8otf/ELOPvtsWbFihc5YY+I1Dhs2TFu2F198sZx00kmyZcsWeeutt+TKK6+USWpP0s033ywbN27Ux+wyYsQIbeWizhnK1Id1C4VcXl6ulfYTTzyhy8N6PuWUU2Tr1q32KvieBEiABEjApwSwzxX7Xa1SMWeOJ5ya7EMSoWDPOussueeee7RCfeONN+Ttt9+WM888UytCo2Ch+KAMKyoq5N1335U1a9boejt27Kj/4jjkk08+0X+N3HfffTJf7Vv6wx/+IF26dJGCggJ96qmnnpJ5KtTVvn375Oqrr5ba2lptOb/zzjuC6WoKCZAACZCA/wlEi9RUOnKkZ5ya7CMUMUVsLrjxxhu1ZdlDuUI/8sgj+nBeXp4cddRRcuGFF0qrVq20tfrjH/9YK0NIfn5+2N89e/aY6uTNN9+UxYsXyw033CADBgzQx00+V6zjnn766XpK+qWXXpJbbrlFmjRpItdee62sXLkyVEesf0xOv1jnebx+AmRYP6N4V5BfPDr1nyO/+hnFu8Iv/AqULmlscWo60KGD9iJeV5e3Oh4DJ+cyxS+mgh0/frxWeHBOwnTwMpUW6Ne//rV+GXnttdfkabUI3bBhQ30IFihk7969+m9RUZH+C3nhhRe0An7//fdDx8w/LVu21P9iWrhp06ahcoWFhaE6IwrxAAmQAAmQgG8I5C9cKI1ffDHUn0NKf9Tcfrun+xehYDFdC2vzjjvu0NbrepUx/tZbb9UOTMuXL5fPPvtMJqh9SBCs1zZu3FiOP/54/X716tX6r5kaPu644/R7CBR2OxXa6vrrr9fK9txzzw2dc/oPvJdTFTPtnWo2Ba+XN7/cUmXo9f47bT/57dQfvVQ/P+RHfnh+8pThter++8O+xjs/95wU9+0b96vd7Z/fCAW7adMm+dWvfqWnZr/zne/o6eFmzZrJMccco6eM71cQsOYKxfqi+rUBR6fWrVtLXwVijlqILi0tlYcfflh7F/fq1Utv34FgShlK9l6VEBdKFmu9FBIgARIggWATOLhzp3xqc2oqnz69XuXqBWoRChZbdKBkoVixZgrr9Le//a32/IVV++WXX2oPY0wLwyN4ugIBwfXYqnO7Muk7deokDz30kF6ztQrWVaeqeJJXXHGFVsIUEiABEiCBYBPYeP75YZGa4NRUNnGiL6BEKFgoTihSvOyCNVJ4+0aTDmox+vXXX484hWlieCQbGa0WrPEyMmbMmND/C9UcvFV27doVUR8PkAAJkAAJ+IPA1nHjpEb59xgp7N7dU5Ga6huFiG069RXgeRIgARIgARJwSmD73LlSbUk3h0hNHeE067FgEvE4UMHGo8NzJEACJEACaScQLUNOhVK4+XUxFNJ+wxxVSAWbI/C8LQmQAAkEkYAJJmHte+spU6Rk0CDf4aCC9d2QskMkQAIk4F4CCIOIcIhGivr3lzaVle5tsIOWUcE6gMeiJEACJEACiRPYoLyDEcjfSH7XrtJKJY/xq1DB+nVk2S8SIAEScBEBODVVzZwZahGcmqBc89Rfv0rENh2/dpT9IgESIAESyA0BODVtuO66sJsjcXqjbt1y06As3dUXCtaEy0qF2e7du1MpFirj9fKmI6ky9Hr/nbaf/Jx9fsjP//wQqWn9wIFhwSSOUPEPGqm1WKefP6flM/38cYrYkXplYRIgARIggXgEEEyiVsW0N1J42mnSsi4DW7xyfjjnCws21UDj1gF0WgfLO1tHIT/yc/KFyufHnc/PJuUdvHvRotDQ5quELwjij/XXIHz/0oJ18qlmWRIgARIggagEdqioTJtV7HkjUKodfBapKWrHLQepYOsjxPMkQAIkQAJJEYgWqQlOTU1VCtQgCRVskEabfSUBEiCBDBNApKZ1KqEL/hpBhpxSlW0taEIFG7QRZ39JgARIIIMEsB0HFqwRZMhBnOEgChVsEEedfSYBEiCBDBCoUtPACChhBOuunS2RmzJwS1dXSQXr6uFh40iABEjAGwQQAtEeTKKTOuan9HPJjgQVbLLEeD0JkAAJkEAYAQTvRxB/q1TMmRM4pyb7Y0EFayfC9yRAAiRAAgkTQKQmKFc6NUUio4KNZMIjJEACJEACCRLYNnlyhFMTtuRQRKhg+RSQAAmQAAmkRKB6/nzBywicmjoGLJhEPHBUsPHo8BwJkAAJkEBUAtiKgzjDVkGkpvyKiqjXB/GgL2IRp5oJBgPuNBuD18ubhz5Vhl7vv9P2k5//s8HEUwxOnx+n5XP1/GHddW3fvmFoWt55pxzs2VOS+S5x2n+n5TPNjxZsvE8Pz5EACZAACUQQ2Hj++QIla6Sof385YuzYiOuCfsAXFqzTTBp4CJzWwfLuzOaR6Aec48fxS/RZiXZdkJ6fDRMnSs2yZSEM+V27yrGPPRaRIScap1jH/MqPFmysEedxEiABEiCBMAKI0lQ1c2boWF7z5tJq1qxAB5OI94hQwcajw3MkQAIkQAKaAJya7JGaoFwLunUjoRgEqGBjgOFhEiABEiCBwwQQRMIeTKL1lClSdN55RBSHABVsHDg8RQIkQAIkIFq5IhyikZKBA6VNZSXR1EOACrYeQDxNAiRAAkEmAKcmBPI3kt+uXWDTzyX7HFDBJkuM15MACZBAQAjsUIEjrE5NiNSEYBJBzpCTzNBTwSZDi9eSAAmQQEAIwKlp7ejRYb1FjOGmPXoEhIDzblLBOmfIGkiABEjAVwTg1LROKVdrhpyyCROkdNQoX/Uz052hgs00YdZPAiRAAh4jAMsVFqyR4j59hBlykh9EKtjkmbEECZAACfiWwCblHYy1VyNm3dW3Hc5gx3wRKjGZ4NJ2lk6DRXu9vOGRKkOv999p+8mPwf7t3ynJvHfb87d70SLZPHVqWBfaPPec7GrQQFQU/4iuOW1/rstn+vNLCzbikeEBEiABEggegdr16yPSz7V68EFGanLwKPjCgnUaKBr8nNbB8gwW7+BzyOdPbf9wIvz8OePX7NAhWXX55WEZckpHjpRvJpghh/yj86cF6+RTzbIkQAIk4AMCiDFsdWoq7N6dwSTSMK5UsGmAyCpIgARIwKsEdqqA/ciSYwROTZ0tkZu82i83tJsK1g2jwDaQAAmQQA4I7F26VLZNnhx2Z0ZqSt9AUMGmjyVrIgESIAHPEEAQic2XXRbW3vLp06W4b1/P9MHtDaWCdfsIsX0kQAIkkAECq/r1i3BqKlOB/SnpI0AFmz6WrIkESIAEPEHAHqkJTk2M1JT+oaOCTT9T1kgCJEACriUAhyarU1Ne8+bSkRlyMjJeVLAZwcpKSYAESMB9BKJlyGk9f77kV1S4r7E+aBEVrA8GkV0gARIggfoIwKkJ665WOXLSJCns3bu+ojyfIgEq2BTBsRgJkAAJeInAmsGDw9LPlQwcKFCwlMwRoILNHFvWTAIkQAKuILBBeQdXW4JHMFJTdobFF7GIU80EA8S5zuaQ6/ubxyxVhrluf67vT37MpuPkq9rp85vI81et1lirZs4MNRNOTS3uv19nyHF6f6+XT4RfvPGtr/+0YOPR4zkSIAES8DCBmmXLIiI1tVKhEQu6dfNwr7zTdF9YsE4zOWC4nNbB8tGzSST6USA/8kv0WYl2HZ+fyOcHTk3rf/jDsGASZRMmSJvhwyMQkl8kvwhIcQ7E4kcLNg40niIBEiABrxJAMIl9a9eGml/cpw+DSWR5MKlgswyctyMBEiCBTBPYVFkpO1TwCCP57doJgvhTskuACja7vHk3EiABEsgoASjWzVOnhu6B9HPMkJNR5DErp4KNiYYnSIAESMBbBKJFakKM4aY9enirIz5pLRWsTwaS3SABEgg2ATg1rVPrrvhrBE5NpaNGBRtMDntPBZtD+Lw1CZAACaSLADPkpItk+uqhgk0fS9ZEAiRAAjkhUKWmga1OTVh37WyJ3JSTRvGmElXBzp49W9q3by/FxcXSTwWH/uijj0KobrvtNmnbtq20bNlSxowZI7W1tfrcqlWrpI9yA2+uooT07NlTli5dqo9//PHH0kBFDEE5CgmQAAmQQHoJNPzgA9lw3XVhlXZSyrVhSUl6b8TakiYQoWCXLFkiY8eOleOOO06uv/56efvtt2V43cbkv/3tb3LLLbfIKaecIpdccok89NBD8vDDD+ubjlLz/MtU1JCbbrpJdu3aJUOHDg0p36RbxQIkQAIkQAL1EsjbskWa3Hxz2HUVc+bQqalectm5IELB1tTUyM9+9jN57LHH5Be/+IWcffbZsmLFCjl06JA89dRTkpeXJ3PUAD7wwANSoXIILly4ULaoQX7rrbfkyiuvlEkqO8PNasA3btyoj9llxIgR2spFnTPUtAas20cffVTKy8ulRYsW8sQTT+jysJ6hyLdu3Wqvgu9JgARIIPAE4MwE5dpAGTRGSkeOpFOTi56MiFCJZ511luC1fft2eeONN7QFe+aZZ2pFuGbNGikrK9PKDwIF+8knn+jjkI4dO4aO4x+cw1Sykfvuu0/mq8DTT6t9Wl26dBFYyxAo7nnz5smgQYPk6quv1hb0tGnTZPz48YLp6ilTpoTqiPaPqSfaOR5LjAAZJsYp1lXkF4tMYsfJLzFO1qsK1Hdk49WrQ4cOdOgg64cMkXV136vJ1xjcEpl6/iIsWIP4xhtvlN4qEW+rVq3kkUce0Yf37Nkj+fn5oVHA/ziGF8ScM3/NcZx78803tWV8ww03yIABA/T1UNqQq666Sk4//XQ59dRTpbq6Wk9DY30X1vLKlSv1NRQSIAESIIHDBPLVzGHjF18M4ThUVCQ1t98uh5o1IyIXEYiwYE3bYD1C4cE5CY5OWF9t2rSp7Nu3L9T8vXv3SpEaWByHmHM4DsE5Iy+88IJWwO+//37omPnHWLmwjFGXKVdYWBh2v4iCdQfgXJWqmDRtsYI111ev18ubX26pMvR6/522n/x26o9Iqp8f8kueH4JJ/Eelm7NK5+eek+K+fev7uoo47/T593r5TD9/ERYspmt//vOf6ylcrKlefvnlslpNQ8Ab+Nhjj5WqqiptZUIwBQxnKByH4DpzHH9xzggU9u3qFxYcpaBsKSRAAiRAAskRwLrrKmXwWGWf+m5NRbkmd2denQqBCAW7adMm+dWvfiUXXXSRVoiYHm6mph2OOeYYufTSS+XgwYNa8WKdFM5Nw4YN0+uyfdWvJzg/Ye30rrvu0tt8evXqFWoTppqhZOHMBO/kAwcOpNJeliEBEiCBwBKAcrVGaqo95xzZd/HFgeXh9o5HKFgozsmTJ2vnJkwPQzHCUxiev5hGvOOOO7Tz05NPPikTVBguWLgQKOLjjz9eK+UStf8K3sBYQ7VKkyZNZKoKQr18+fLQ9h63A2L7SIAESMANBKJFaqpRRgvFvQQi1mAbNmyolShe0QTKFy+7dFAebK+//rr9sJ4mxhYfI6NVrEy8jMCZyQgUuVWwn5ZCAiRAAkEnsH3uXMHLCCI1Vaj323YeXsMNOh+39j/CgnVrQ9kuEiABEggiATg12SM1QbkyQ477nwYqWPePEVtIAiQQUAJYb10zeHDYumtrFRegRMUMoLifABWs+8eILSQBEggoASjXfWvXhnpfMnCgtKmsDCgN73WbCtZ7Y8YWk0BaCGB/OxwS8XrmmWei1oltdXBuxD5X7FP/wQ9+IP/4xz+iXuumg1999ZV2woSjJQLafKCmWa3yk5/8RB83/cf/5rXDkk910aJFOnkJHDRbt26tA+WYBCeZ7u+GiROl2pIRJ79dO73uSvEOgQgnJ+80nS0lARJIlQBifL/22muh4gsWLAhFWDMHX1Vf7v3799db6o4++mj58ssvZfHixToq27///W+BY6MbBdm/kKAEwXFiiQmQACfMdkpxNWr09Vdh48aNdbF33nlHh2+FQsU1mzdvlrvvvltvVbznnntiVa0j08Fh06qoY14c4wQcmqpmzgydhVNTBxVilhlyYgBz6WFasC4dGDaLBDJJANvsoCgQUAYCCxaJPqwCZQLliv3r//vf/2T9+vXSpk0bHRr1ORU5yK2C7YXr1q2LuxXQKNhx48bJ448/rvtjXiaSHOIBQLlOVJbkWjVNi62LECQ6ibXDYf/+/Tq2uhOJ5tRUrhKj0KnJCdXclKWCzQ133pUEckoA+9QhSK7RqVMnbZ3+9a9/DWvTT3/6U3n22Wd1Vi0IplNNdDYTzQ3HoXQxvVqf0oXiOe2003Q9yJz14x//OBTHPOzGdW+6du0amra1TuGa/+3TvqaO73//+9rCRgrNWGIULILoxBJY8BAE3YH06NFDB9zB9DOseLug/wgH+8UXXwjqRzsRFS8ZgVPTOrWN0RpMokxNdZfG6Usy9fPa7BLwxRSx+bCkgm737t2pFAuV8Xp505FUGXq9/07b70V+mB7GnnWsTyLJxqeffiqrVq3Sma6sMam//e1vh55zZNdCGaSgxHTqGWecoZWIlR/+j/UcYS3zsssu02uZUOoIs/qb3/xGK0JEf4tWDtm64kV8g3UZbfxwH4i1Tlic1veff/65vuZf//qX/PGPf9RR6bp37y5IcoJoc4inblJl4geBKXvUUUfJf//7X91uRKqz3h8x1TGljGxhULRXXHGFgGG0vhmw9vZvVuk8YcEaKVQ/SJqr4Dzx6rD3NVQ4gX/s90+gSNglXi9vOlMf31hc6uu/LxRsrM7zOAmQQCQBTAdjehjWJCzJ8847T+699155/vnn9TRxQUFBWKEXVdaWoUOH6mNQGJXKi9VMLeMYFCWU7kknnRR5s7ojd955p/4PYVKRVQvy3e9+VztMQdnCOrQLclLXJ/V9wcUqbyxwTPcawZrtK6+8otderVPA+FFgxCQ2sVrw5hysewTOgYJFGfxwSEY+V9fvVj9EjDRSir61+tFD8S4BXyjYVDN5WIfNaR0sf4SjTwH5ZY8fpn0hUJpYb4QlhqlPWGZQeCadpBlQhEtFrucNGzZob9y5ygEHqSzNmJ1//vlxs+lAWcHxCIJpX6OcTj75ZFmxYoU+B8cgJxLt+bF6+2Iq2HoN2gHHLUwn/+hHP9Lry3Do2rhxo/zpT3/S1rYRlDNljQMUFKi1PvO/Wb/F9HC0NsXq4yGl2KFgrXKs+iHUtG3bWEXCjidzr2gVsnxmPn++ULDRHhgeIwESiCQAT9ilS5fqEzOVl+pDDz2k/8cUMCSaNzESecDKhFfs2WefrT1koZxmKMebRMTqTYuEIXbZtm2b/ZB+f7EKYm8ydEW7AM5JmLJNRcyPDDM1iOnoCy+8UH7/+9/rHxGIyW7EmtfaWLaYNk6X1CjLeZMlfCzqrVCJU+jUlC7CuauHCjZ37HlnEsg6AeM9jBtHU15Wb+J58+bpdUismUKRQakMVoEP/vnPf0Z18onVGasygmeyNY0lrFdYyNEEKTKRGCSWmLzTsc7HOo51XfzQ+Oyzz3TWLyNYN4VgmhwWaltlPcKyheWObToQeCdDrH3QB1KUg2odu0p5MludmkpHjqRTU4o83VaMXsRuGxG2hwQySMB4DyNhB5JwwLrEC0oFitB4E2Md9pZbbtEexL/85S91i3AN9sFC4NBjBMfgQYtc0dEE07PdunXTpzDFiillvDCNim0tCGARTaB80cZYr2jrttHqsR+DxQzliQASWF+GYGrYBNswaTbPOussfc4kIYGDFxQu2nvqqafaq9Xv0ScIPI3jOWiZwtvUOMCCNVKoHK0YTCKEw/P/UMF6fgjZARJIjAByPSPVJATTr1aB9XbBBRfoQ5gmhsCZCYKpYDhDQam+/PLLWolg/6gRpKxEWVi2sQTKGoJISPCuHTJkiFay2Guabrn55pt13QNVWEEj1157rT526623amt8pLISIQhIAeesY489VqB4YamifRBsU8IPDUylw9LFVDkEnsZWxyd9sE6wZQmCHyNwHoMDWCypUlyrLU5MCCbR2RK5KVY5HvcOASpY74wVW0oCjgiY6WE4NH3rW9+KqMsoXTNNjHXIhx9+WE488UTtVQunIVhu2M8K5ZGMQKFizRTex/AOhuUIhQflZbWGk6kz1rVw1MK2IHhFG8EWIxwzPwJmzZqlf0CABYJowMrGDwX8ADEOP8hvbUIl4sdJWVmZzpF90003xbq1VsTwkkZ9qAvTy9EEIRDtGXI6qWOM1BSNlnePNVDTL18na/VYP8x0jJMuGCeHVL3ovF5+yZIletSt+x+TeQy83n+n7Se/w/lIU/38BJEfgvevUNPT1nXX8unTpUxFjEpWgsjPysjtn19asMk+0byeBEiABBwQsKefKx42LCXl6qAJLJolAlSwWQLN25AACZDAWrUdxxqpKV/tx22ZZEAKUvQOASpY74wVW0oCJOBhAsiQg5cRODW1UU5OeeovxZ8EuA/Wn+PKXpEACbiIAKxWWK9WQfq5gwlGanJRV9iUJAj4QsGmGqgZnFKNZWoYe7286UeqDL3ef6ftJz9nyTKCwA/BJNbWbfEx/T1y0iQ5qByd+Pw5e37czo9TxEn8GuGlJEACJJAsgY1qOxKUrJEiFfMYCpbifwK+sGBT3SJgHV6ndbC8s3Uk8iM/J1+3bn1+NqitN/ZITceqfcBYf+X3z9cE3Dp+iT6TsdpPCzZRgryOBEiABJIgAIemKhVIwwiUKsIgMphEEhA9fikVrMcHkM0nARJwHwE4NdkjNUG5MkOO+8Yqky2igs0kXdZNAiQQOAKI0GQPJtF6yhQpGTQocCyC3mEq2KA/Aew/CZBAWglAuSIcopHiPn2kTV3ihLTeiJW5ngAVrOuHiA0kARLwCoFNSpEikL+RfJWdB/tdKcEkQAUbzHFnr0mABNJMYIdSpJunTg3VCqcmKFc6NaUZtIeqo4L10GCxqSRAAu4kEC1SU7nK90qnJneOV7ZaRQWbLdK8DwmQgC8JIIjEOhUG0Zp+rmzCBCkdNcqX/WWnEidABZs4K15JAiRAAhEEto4bF5YhB05NsF4pJEAFy2eABEiABFIk8LlKNbd70aJQabPummJ1LOYzAlSwPhtQdocESCA7BOAtDAVrlU7qGJ2assPfC3fxRSziVDPBYICcZmPwennzkKbK0Ov9d9p+8nOWDcWr/GrXr5f1tsARrR58UPa3by/JfJb4/Dl7ftzOjxasF34GsY0kQAKuIQCnps2XXRaWIad42DApHj7cNW1kQ9xBwBcWbKxMBskgdloHyzMbTDLPm/1aPj/eeX7W2jLk5HftKp3mz7cPaVLvOf7eGf9oAxtr/GjBRqPFYyRAAiQQhUCV8g5Glhwjec2bSxuHyjXKbXjIJwSoYH0ykOwGCZBAZgnAqcmeIae1Uq6N2rbN7I1Zu2cJ+GKK2LP02XASIAFPEDAZcqyNLZ8+XQp69/ZE+9nI3BCgBZsb7rwrCZCAhwis6tcvLFJT6ciRUqbWYikkEI8AFWw8OjxHAiQQeAJrVRhExBo2Uti9OyM1Bf6pSAwAFWxinHgVCZBAAAnAocnq1IRITR2ZISeAT0JqXaaCTY0bS5EACficQLQMORVK4eZXVPi85+xeughQwaaLJOshARLwDYFoTk2tp0yRElv0Jt90mB3JCAEq2IxgZaUkQAJeJrBm8GDZt3ZtqAslAwdKm8pKL3eJbc8BASrYHEDnLUmABNxLYIPyDsaeVyNwasLUMIUEkiXgi32wyQTXtgNyGiza6+UNj1QZer3/TttPfs6CtbuNX7UKHFE1c2boawKRmlrcf7/satBAVBR/+9dHzpOFuI1fBKB6Djj9/Dktn2l+tGDreQB4mgRIIBgEapYtk22TJ4d1tqVKR1fQrVswALCXaSfgCws2VqDlZGg5rYPl/RmsO9FniOPv7fFvduiQrP/hD8My5JRNmCDfHDs2oUeA4+/t8c/dLPhDAAAgAElEQVTU+NGCTejjw4tIgAT8TADBJKxOTcV9+jCYhJ8HPEt9o4LNEmjehgRIwJ0EPlfTwDtU8Agj+e3aSQfLe3e2mq3yAgEqWC+MEttIAiSQEQK7Fy0SKFgjiNQE5dqwpCQj92OlwSJABRus8WZvSYAE6gggUtPWcePCeJSrfK9Ne/QgIxJICwEq2LRgZCUkQAJeIoBITevUuutBy9YbZMgpHTXKS91gW11OgArW5QPE5pEACaSfABKn2zPkMJhE+jkHvUYq2KA/Aew/CQSMQJWaBrZmyEEwic6WyE0Bw8HuZpBAVAX7yCOPSIcOHaRZs2bSu3dv+aAuF+Kjjz4qDVREE+vrqquu0s1btWqV9FGu7c3Vw9qzZ09ZunSpPv7xxx/r62+77bYMdoNVkwAJkED9BBACEdarVY5Wjk50aqqfHa9InkCEgn3vvffkRz/6kRx99NFy0003yUcffSTDhw/XNZtwerNmzZIFCxbo19i6jdij1NrFMhUJBWV27dolQ4cOldra2uRbxBIkQAIkkAEC2OeKIP5WafXgg4zUlAHWrPIwgQgF+8UXX2gFO2/ePK0szznnHG2F7t+/P6Rghw0bJv369ZOLL75YTjrpJNmyZYu89dZbcuWVV8qkSZPk5ptvlo0bN+pjdhkxYoS2clesWCEz1FQNrFtYxuXl5dKiRQt54okndPni4mI55ZRTZOvWrfYq+J4ESIAEkiJg0s/hrxE4NRXXGQ9JVcaLSSBBAhEK9owzzpDZs2dL+/btZfv27bJkyRLp2rWrNG7cOKRgofigDCtU4uF3331X1qxZo2/XsWNH/RfHIZ988on+a+S+++6T+SqY9h/+8Afp0qWLFBQU6FNPPfWUVuj79u2Tq6++Wlu+09TetHfeeUe3hUICJEACTghEc2rClhwKCWSSQMxYxFCu5557rlayjz32mG5DXl6eHHXUUXLhhRdKq1attLX64x//WCtDSH5+ftjfPXv2hNr+5ptvyuLFi+WGG26QAQMG6OOwXiFYxz399NPl1FNPlZdeekluueUWadKkiVx77bWycuXKUB2x/sGPAIozAmRIfs4IOCudyeev8YsvSoEl3dyhoiLZroL6L/3wQ2eNdlHpTPJzUTcz1pRM8YuqYDEtiyng9evXy5NPPqmVH+TXv/61fhl57bXX5GlEPWnYUB+CBQrZu3ev/lukHmQjL7zwglbA77//fuiY+adly5b6X0wLN23aNFSusLAwVGdEIR4gARIggXoI5K1eLQWWSE24/Kvbb5eDylCgkECmCUQoWEzPnn/++bJp0yZ5+eWXpVevXqE2wJL97LPPZILKMgGpqanRU8fHH3+8fr9aPcwQMzV83HHH6feQ8ePHSzsV4/P6668XKFtYx+kSeC+nKsZxK9VsCl4vb365pcrQ6/132n7yO5wjNdXPTyb5Yb112aBBcsDy5VA+fbogS44Rp+Of6/KZ5JfId2qu++/0/pnmF6FgH374Yb2uii/cV155Rb8gV1xxhfzjH/+Q+1XyYay5QrG+qKZe4OjUunVr6du3r8yZM0dKS0sFdWANF8oZ23cgmFKGkr333nu1kj3rrLMSGT9eQwIkQAIpEVilZuGsTk0lAwdK2cSJKdXFQiSQCoEIBbt8+XJdDzS7dV4a3sR33HGHfPnll3pNFtPC8Aiern4RQrB3Flt1blfTL506dZKHHnpIr9laBeuqU6dO1coaSphCAiRAApkgsEEpUkZqygRZ1pkMgQgFCwsVr1gCb99ogsAUr7/+esQpTBMfUsmMjYxW8T/xMjJmzJjQ/wsXLgwrj/20FBIgARJIhgCiNFXNnBkqggw5CIPIYBLJUOS16SAQsU0nHZWyDhIgARLIBQFYrfZITVCuzJCTi9HgPalg+QyQAAn4gkC0YBKtp0yREuXoRCGBXBCggs0Fdd6TBEgg7QQQBhHhEI3AqalNZWXa78MKSSBRAlSwiZLidSRAAq4lAKcmBPI3kq+2BDL9nGuHKzANo4INzFCzoyTgTwK7VTYcu1NTBwTAKSnxZ4fZK88QoIL1zFCxoSRAAnYCNSqD19Zx48IOI8YwnZrspPg+FwSoYHNBnfckARJwTABOTVVKuR7ceTiaFCpElKZStR+fQgJuIBCxD9YNjUq2DSZcVrLlcP3u3btTKRYq4/XypiOpMvR6/522n/ycfX6c8NusAt3AgjVSeNpp0lwFsknmWXY6/rku74Qfyua6/bm+f6b50YINfTz5DwmQgFcIfK4C+GPt1UieyjHdWqXCpJCAmwj4woJNNdC4dSCc1sHyRzh6rsmP/BJ9gHYoByYoWKt0VqFdm7Ztm2gVEdfx+ePzF/FQJHEg1vNDCzYJiLyUBEggtwSwz3WtJdQqWtPqwQfp1JTbYeHdYxCggo0BhodJgATcRSBapKbiYcOkePhwdzWUrSGBOgJUsHwUSIAEPEEAMYbtGXJazZrlibazkcEkQAUbzHFnr0nAUwSq1N5WZMkxggw5nS2RmzzVGTY2MASoYAMz1OwoCXiTAEIg2jPkMFKTN8cyaK2mgg3aiLO/JOAhAmbd1drk8unTpbhvXw/1gk0NKgEq2KCOPPtNAh4gsKpfP4GSNVI6cqSUqcD+FBLwAgEqWC+MEttIAgEkgO04dqcmxBmmkIBXCFDBemWk2E4SCBABODTZnZo6MkNOgJ4Af3SVCtYf48hekIBvCMBqtQeTgFNTfkWFb/rIjgSDABVsMMaZvSQBTxDAeivWXa3SesoUOjV5YvTYSDsBX8QiTiZ7hh1ArrM55Pr+hkeqDHPd/lzfn/zSm01n4wUXhDk1FfXvL0UqwESs5zPX45/r+/P5S+/zZ9cP9b2vb/xpwdZHkOdJgASyQmDbpEmyd+nS0L3yu3YVRmrKCnreJEMEfGHBxspkkAwzp3WwPLNxJPO82a8N+vNT++c/y87Zs0NYEKmpw+9/n3CGnKDzY//d+f1DC9b+Tcf3JEACWSWQt3p1RKSmCuVF3LRHj6y2gzcjgXQToIJNN1HWRwIkkDCBBrt2SZObbw5bdy2bMEFKBg1KuA5eSAJuJUAF69aRYbtIIAAEClTi9LwtW0I9Le7TRxhMIgADH5AuUsEGZKDZTRJwG4FNlZXSyOrU1K6dYL8rhQT8QoAK1i8jyX6QgIcI7FCKdPPUqaEWa6cmRmry0AiyqYkQoIJNhBKvIQESSBuBaJGaMC1Mp6a0IWZFLiFABeuSgWAzSCAIBBCpaZ0K4m/NkLP/4ouldNSoIHSffQwYASrYgA04u0sCuSRgz5BzoEMHqRk/PpdN4r1JIGMEqGAzhpYVkwAJWAlUqWlgrL0awbrrVzNnEhIJ+JYAFaxvh5YdIwH3EKh+9dWIYBKd1LFDzZq5p5FsCQmkmYAvQiXGCgSeCKv6gjXXV4fXy5v+pcrQ6/132n7yqz/Yeu369bLeFjii1YMPyv727UVUajoIn7/6vmninye/+HzqO5spfrRg6yPP8yRAAikTOLhzp2y+7DLBXyPFw4ZJ8fDhKdfJgiTgFQK+sGCdBrrGYDmtg+XdGWw70Q8ixy8z47d24kSpWbYsNAyF3btLB2W9Yv3VKuSfGf58/hMjkKnnjxZsYvx5FQmQQJIE4NS0XQXtNwKl2pHBJJKkyMu9TIAK1sujx7aTgEsJIJjEBpUo3SqI1JRfUeHSFrNZJJB+AlSw6WfKGkkg0AQQRGJVv35hDMqnT5fivn0DzYWdDx4BKtjgjTl7TAIZJQDlao3UVDpypJSptVgKCQSNABVs0Eac/SWBDBKwR2qCUxPTz2UQOKt2NQEqWFcPDxtHAt4hAIcmu1NThTrWsKTEO51gS0kgjQSoYNMIk1WRQFAJRHNqgnJlhpygPhHsNwhQwfI5IAEScEQAQSTWDB4ctu7aesoUKbFFb3J0ExYmAQ8SoIL14KCxySTgJgKI1LRv7dpQk0oGDpQ2lZVuaiLbQgLZJbBWhQC9oaf4IpJTdsnxbiRAAobAtkmTZO/SpSEg+e3aCaaGKSQQWAILpoosqNTdp4IN7FPAjpOAMwJwaNo5e3aoEkRqQjAJOjU548rSHiUAq/XB0SL4Wye+ULCpZkIAA6fZVLxe3jwIqTL0ev+dtj+o/BBfeKNtb2uLO+/UGXJSeZZSKcPPb+h7PCXm5Jc+fgXPTJMmz077usK6/3yhYCN6xQMkQAIZIwCnpqpx48Iy5BwxZgwz5GSMOCt2K4HGG5dLyfzrBH+tcqiwuey9YpY/poidZkIAGKd1sDyzgTj5EvDS87Nm1KjwDDmnnSYdZ81y0n1+/mzZhZKF6aXnJ1rfPNl+y1prWJ9OHigNxqktakUl/lCw0QaMx0iABNJPYJPyDt6h1lmNNCovl9bz56f/RqyRBNxKYNtakbsHh6216qY2VUbGkEqR874OC8opYrcOIttFAi4jAMW6earykLQIlGueQ+vLZd1kc0ggNoHnZx72EN69I/yaLn1Erpkr0rIi7DgVbGyUPEMCJFBHAPtcEWfYKhVz5kijbt3IiAT8TwBWKzyEl78a1lestdYMmCxNLpoUlQEVbFQsPEgCJGAIIDOOPVITMuSUqrXYVL1/SZcEPEMgjtW66/L75GBpW2kSozNUsDHA8DAJkMBhAkicjljDRpAhh8Ek+HT4nkAMq9W61gqP+nhCBRuPDs+RQMAJVM2YEZEhp/OrrwacCrvvewJxrNZoa62xeFDBxiLD4yQQcALVSpHCerVKJ3WMkZoC/mD4ufsJWK3JdD9qsP9HHnlEOnToIM2aNZPevXvLB5bpodtuu03atm0rLVu2lDFqc3ltba2+36pVq6RPnz7SvHlz6dmzpyyti0/68ccfS4MGDQTlKCRAAt4gAKcmrLtapXz6dKaf88bwsZWpEHh1rg7Qb3dkknbdRSpfDdt+k2j1EQr2vffekx/96Edy9NFHy0033SQfffSRDB8+XNf3t7/9TW655RY55ZRT5JJLLpGHHnpIHn74YX1ulHJ4WKbCp6HMrl27ZOjQoSHlm2hjeB0JkIA7CERzaiqzhUZ0R0vZChJwRqBRza7D+1rhJWzffjNkijqn/A8qeqR0kwgF+8UXX2gFO2/ePK0szznnHIEVun//fnnqqackLy9P5ij3/AceeEAqKipk4cKFsmXLFnnrrbfkyiuvlEkqu8bNN98sGzdu1MfsMmLECG3lrlixQmao9R1Yt48++qiUqw3rLVq0kCeeeEKXLy4u1op869at9ir4ngRIIIMEsB3H7tRUrj6rFBLwG4EWny6VXr8fKvLO18FTdB9htd71/uHAEQ46HbEGe8YZZwhekO3bt8uSJUuka9eu0rhxY1mzZo2UlZVp5QeBgv3kk0/0cUjHjh1Dx/EPzmEq2ch9990n89XG9KfVhvUuXbrouiFQ3FDog1SC5quvvlrGjh0r06ZNk/Hjx8tsla1jikreHE9MPfGu4bn4BMgwPp/6zvqFX+MXX5QCS7q5Q0VFsn3yZFn64Yf1IXB03i/8HEFwUJj8koMHq7Xzy9PkBKVg7bLulFGy9uRRIuuUh/C6wzrKfk2i7yMUrCkI5XruuedqJfvYY4/pw3v27JH8/PxQ3fgfx/CCmHPmrzmOc2+++aYsXrxYbrjhBhkwYIC+HtYr5KqrrpLTTz9dTj31VHnppZf0NHSTJk3k2muvlZUrV+prKCRAApklkLd6tRSoH7ZW+er22+XgUUdl9sasnQSySABWK5Srnhq2yK7SDrLyzMmyq8VhQzEdTYqqYDEt269fP1m/fr08+eSTWvlBmjZtKvv27Qvdd+/evVKkfuHiOMScw3EIzhl54YUXtAJ+/31ldtvEWLmwjFGXKVdYWBh2P3s58x7OVamK2SifarBpr5c3v3xTZej1/jttv1/4NTt0SJapGaQDlg9SazVz1GbChLgfLfI7vA8yV98ffnn+ssIP66tYZ7VPB+MJV2utzYZUyklxn/bIk/U9/xFrsPAKPv/882XTpk3y8ssvywUXXBCq9dhjj5Wqqiqprq7WxzAFfNxxxwmOQ1arX8DmOP7inBFM996ufg3DUQrKlkICJOAeAnanppKBA6VNZaV7GsiWkIATAlCq49tHKFdYrf+69BHHa62xmhZhwcIr+N1339Vbbl555RX9glxxxRVy6aWXyiyVlgrOTKWlpdq56U6VZBnrsn379tXOTziOOtqrxMu9evXS23cgrVq10muq9957r1x//fVy1llnxWoTj5MACWSRwDblmIg9r0YYqSmL8HmrzBKIZ7X2nyD/ah++FS3djYlQsMuXH04ci6kH68I5vImhdO+44w65//77tVfxBDV9dPnll+s2Ye8sturASu3UqZPewgOPY6tgXXWqysYBZW2296S7Q6yPBEggcQLVyulwp3IkNNJQZcZBGEQGk0icIa90KQEE5seUMIJHWKVlOxGVr1VO6CtKyWW08REKFsoTr1gyWXkU4mUXBKZ4/fXX7Yf1NPEhtb5jZLTaAoCXEQSrMIItP1bBfloKCZBAZghgK84222cZyrVpj9T2/GWmlayVBJIkAKt14VSRRVG2limrVedsVcnQsyERCjYbN+U9SIAEckvAZMixBiuHU1OJcnSikIBnCSRitWaxc1SwWYTNW5GAWwjAqQnhEI0Uq+UfOjW5ZXTYjqQJuMhqtbadCjbpkWQBEvA2gU3KO9jq1NRIRVHroIK/UEjAiwQarVwqMm98/LXWHHWMCjZH4HlbEsgFgR1KkW5WjoZG8lTY0tbK0YlOTbkYDd7TEQFltTZ5/CYpWDwrsposr7VGNuDwESrYWGR4nAR8RgBOTYgzbJWWKnJTQbduPuspu+N7AnVrrQV2D+GmR4hcr2Zj4CHsAqGCdcEgsAkkkGkCcGpap5Qr/hopU9vsiusyZWX6/qyfBNJGYIGagVlQGVndyQMPb7/JkodwZAMij1DBRjLhERLwHYFYGXJMqDffdZgd8h+BtR8c3teKvxY5VNhcGoyfJ3Ky+zzgfaFgnXxJ7N6929GD6PXypvOpMvR6/5223wv8PlfTwFh7NaLXXZ95RjDmTvvvtLwX+MX7gnDaf6flg8Kv4Jlp0uTZ8EQU6PtX3c6WHcNnSGGL1qIe6HhDFfdcpr7/fKFg45LjSRIIMIG9S5cKFKxVjl60SPJUxCYKCbidQMMNy6RwzjjBX6vAat17xSzZcWxfV3fBFwo21UwM1pFxWgfLO/vCJr/088M+109HjAj7AqpAvPDevSO+lMg//fwjIMc5QP5R+MdZa20wTkUcU2ut++usVrfy84WCjfPc8hQJBJKAidRkdWoqHTlSSlW8cAoJuJpAjLVWgYfwNXNdudYaiycVbCwyPE4CHiaw4brrBNtyjDBDjocHM0hNj2O16gD9LvIQTmRYqGATocRrSMBDBKpmzJDtKmi/EWTI6chITR4awQA2FftZ71ap42wewtpqRXD+8yZ6EgoVrCeHjY0mgegEYLXCerUKwiDmV1REL8CjJJBjAgUvq3SJ8BBGPGGrdOlzeEq4pXefXSrYHD9cvD0JpIsA1ltX9esXVl359OlS3Ldvum7BekggfQSU1Vp07w9FxxK2isetVmtXqGDT97iwJhLIKQEoV7tTU9lEb06t5RQkb555As/P1NGYGvnQaqWCzfzjwzuQQFYJxIrUlNVG8GYkUB8BrLU+qOJhI5awVXxktVq7RQu2vgeC50nA5QSqVTacaE5NzJDj8oELWvPqrFb7Wmttp9Ok0YQ/iHh4rTXWUFLBxiLD4yTgAQI1y5bJ1nHjwlpaoTyI6dTkgcELShPjWK1fXTBJas4cK04DRbgVJRWsW0eG7SKBeghgvXXzZZeFXdV6yhQpGeS+oOf1dIWn/UoghtUq7bprD+Gab7T3a891v3yhYFMN1AwAToNte728ebpTZej1/jttfy75bbzgAqldvz70BVXUv78UqS06yYyl0/47LZ9Lfn74/LuVX4M9O3UM4cYfLAo9n+afmgGTBJarG/hnmp8vFGzECPIACficwLZJkwSB/I3kd+0qrWbN8nmv2T0vEIBShXKFkrXKgW921QH6D5R380I30tJGXyjYdMzfO62D5aME607iESW/xPnBoWnnbLU5v06Qfq7D738vTdu2TYJ4+KXknzj/aJDJT/HDlht4CL/zdWrEEKshU6ShisjULBo8dcyv/HyhYGOMGQ+TgO8IRIvU1FKlo2vao4fv+soOeYgAlCqUq31fa91aq1QE8/mkgvXQM8ymBpsAnJrWjR4dFkziiDFjpHj48GCDYe9zRsCstUqUtVZRVquOIxxgoYIN8OCz694iYA8mUdynj8B6pZBATggoq7X4gVERa63GQzioVqt1LKhgc/Jk8qYkkByBTZWVssOSESe/XTtBEP9dyVXDq0nAOQHLWmsDe239J4iMmmE/Gtj3VLCBHXp23CsEoFg3T50aai7Sz0G56khNO8M9Nb3SJ7bTowQQ4vAelVbOvtbasp3ofK0n9PVoxzLTbCrYzHBlrSSQFgJwasLUsFXKVb5XOjWlBS8rSZQAFOpC9SNvUaR1WnPGGCkYcafnkqEn2nUn11HBOqHHsiSQQQLRnJpKR46U0lGjMnhXVk0CNgKwWuEhjJCHVlFW6+6RD0ht595SUORsm5NfmVPB+nVk2S/PE0DidFiwRgq7dxfEGaaQQFYIxLFaBWutykO4tjZiFTYrTfPKTahgvTJSbGegCFSpaWB7hpzOr74aKAbsbA4JxLFaw9Za6QMQd5CoYOPi4UkSyD6BaqVIYb1apZM6xvRz2R+LwN0xAatVipRzHSUhAlSwCWHiRSSQHQL71q6VNYOVl6ZFyqdPp1NTdvAH+y6JWq3BppRU732hYJPJHmKn4zQbiNfLGx6pMvR6/522P538Dqrpto0DBoRFaioeNkwKlBdxrPFx2v5cl08nP/tnO5H3ue6/0/uni1+TxydLweLIZBH7e/SXvaNnyaGmyokpynSw0/bnuny6+MV61nyhYGN1jsdJwEsEtk2eLEigbgQZchipyUsj6L22Nt64XErmXyf4a5VDhc115pv9Pc7zXqdc1GJfKFinmRgwHk7rYHlnbvpB51f75z9L9fz5oa8GBJPo/Oyzkp9ghpyg82P/U/j8LVD7WhdURqqjkwdKAxU0omkSa63kH52/LxRs5BPCIyTgHQKwWjfYgkkgUlN+RYV3OsGWeofAWrX1C/ta8dcqmAa+Zq7IyYO80xeXt5QK1uUDxOb5m4Bedz3//LBOwqmpuG9ff3ecvcsNgThWq95+k4TVmpsOeOuuVLDeGi+21mcEoFyhZI2UDBwoZRMn+qyX7E7OCcSwWs1aa9M+THmYiTGigs0EVdZJAgkQ2KAUqdWpiZGaEoDGS5InEMdqrR5x72EP4eRrZYkECFDBJgCJl5BAugkgSlPVzJmhauHUhDCIDCaRbtIBri+G1SpYa0Ui9PMmyqEoW28CTCztXaeCTTtSVkgC8QkgvrA9UhOUKzPkxOfGs0kQeF79eIOHsD2tXJc+hx2ZWlYkURkvTZUAFWyq5FiOBFIggAw5iNSEv0aOnDRJSgbRczMFnCxiJ4CMN/AQRlQmq1isVnsRvs8cASrYzLFlzSQQQQDKFeEQjRSedppAwVJIwDEBWq2OEaa7grx0V8j6SIAEohOAUxMC+RvJb9dOWluCS0QvlZuj/fr1kwYNGujXM888E7URr7/+upx11lly1FFHSVlZmZxzzjnyr3/9K+q1bjlYW1sr99xzj5xwwgnStGlTqVB7jYcPHy4ff/xxWBMXLVokPXv2lCZNmkjr1q3lhhtuUKnZat3SjbB2NKneIjK1n8hc5X1unRKG1TpyukjlqyKcEs7J2FHB5gQ7bxo0AjtU4Ai7UxOCSeQp5ya3ydatW+W1114LNWvBggURTfzwww/l9NNPl3/+85/SvHlz2b9/v/z1r3/VxzZs2BBxvVsO3HbbbXL99dfLunXr5IILLtA/DJ5//nnp37+/mLi477zzjgxSU/YfqLVy/Hj4/PPP5e6775ZJ9cw0XHXVVVJSkt1MM0d/uFBOevyqyClhrLXerQJJKEcmSu4I+GKKOFYg9ESw5jrYdK7vbxilyjDX7c/1/RPhh604G0eNCnscW9x5p+xv3z70pZ7Isxrtmkz0/w9/+IMcPHhQunTpIitWrJC//OUvUlVVJQUFBaEmTJs2TVt0sGAfffRRadSokfTu3VvWrFkjs2fP1hZfMpKt52/OnDm6WVC0o1X0rC1btsiJJ54on376qf6BcMYZZ4jp29ixY+VONU7L1Ph973vfkwceeEB++tOfSlFRUahrhj9+YDz55JNy6NChmIkZovFIdfzytq+XwjnjpOPKpWHVYl9rzQAV0/rMsYeP1+MlnOr9zU29Xt70I1PPHy3YaE89j5FAmgggiETVuHFhwSSOGDNGitW0pFvlzyouMuTqq6+WTp06SXV1tfz9738Pa+55550nv/71r2WySlCQl5cnhYWFWiFDYPEZadOmjbbqXnzxxbDy9jfPqrjLZ599trRVsZePOeYYmaim03ft2mW/LPT+O9/5jq736KOP1i/8b31BKUYTUyfKQIqLi0NWpzm3dOlhpTVQBf2AdOvWTU8lf/XVV/L2229HVLt48WJp2bKl7FCOa19++aWu7+abb464Ll0HCl6eLc1u/Z40sinXA9/sKruvX/S1ck3XDVlPygR8YcE6DTQNek7rYHlnU51+5bdGWa7WYBLFffpIx1mRacHc0n9YdG+99ZZWmlib/Oyzz+T2228XrEkOHTo09EUzYsQI/b/55b93714xiunb3/526POENVwIrL5YfUQ5KCQo6WuuuUZWrlwpc9W2pW3btslzzz0Xuqf1n+OOO04aNmwoBw4c0Ifxv1Wg8KLd78ILL5RHHnlEnnrqKW19v/HGG9o6x7Xnq6hajRs31u8huIepA4p/rXJO27RpU0S9nTt3liFDhgim0vPz8wWWL1O9bNIAACAASURBVKbKo90/rJGWNwldi/VVeAi/83RkNUOmSEO1t7VZ5JmEjiR0/zg1sXz07z9fKNg4485TJJAzApsqKwVrr0YQTALrrm4WTHNieriP+iGA9cmLLrpIK1g4OtXU1IRNE5t+wPK75JJL5IsvvhAomx/+8IehLi5cuFBPJZ9yyikxu22mbaFkb7rpJn0dpm2h1N9//33tbGQXY2UbBZ/oF/y9996r+/fb3/5W/vSnP+lqYaU/9thjcuSRRwrWn41A4RuBQxQEFqpdoIivvfZarWBRZsaMGfZLnL+HUoVyte1r3VXaQVaeOVlOuuhK5/dgDWknwCnitCNlhSQg2lt489SpYSg6qWNuj9T0xBNP6DZffPHF+i+UG6ZsoViwRmkXTAcPUEni33zzTT1NCoUKK84IPIthGUJZRxNYvli3hXTs2FH+97//6de3vvUtfQwWZjoFSht9xDQurE54E69atUqmqrHCFLCxuHHPWP+nsz311gWFevfgwy970Ahltf5r6KOyq0XHeqvhBbkhQAs2N9x5Vx8TwD5X7He1SoVyrnF7pKbNmzeHpnlnqjCOmEqFbN++Xf+FhQZlagTKFWux//nPf6Sd2nIEb1yzDhu6qJ5/rOusl156acTVGzdujDiGA/gBsHr16phTxI8//ri2pq0Ch5wrrrhCr+1iixGcsmB1w1rHVPRvfvMb+dGPfhQqsmfPntD/pp1Z9RKOYbVKu+6HozFV9BBZsiQqHx50BwEqWHeMA1vhEwLRIjWVjhwppTYvYjd210wPo21QXnaxThNj2hfrmVCumCJ9+eWXBQ5NyUqzZl+vGmIrDOqyChR3NMG+1eXLl0c7pY/BMrbLJ598oh22IMZCxlozfhTAKQpbj7DvFeut69ev19uNzP2xrQdib5/9Hml5X89aq44jTPEEAU4Re2KY2EivEECMYcQaNuKlDDlmehiewdhuYl5Ye4XlZp0mfvDBB5XxtER74cJhKJZyhfcwrEPjOGQfR6xZYgoaAgcjTCfjhenZffv2yTe+8Q17Ef3+o48+0u2D5y5e1vbi/x49lHVnE+M5jMNY24VgPdYo6vLycn0Mzk8QTHdD4PQFhYu+nnrqqfqYXcx0MqaZjeOV/ZqE3sNqHd8+0pEJVutdqs1UrglhdMtFVLBuGQm2w/MEqpRzC7LkGIFTU2dL5CY3dxDesWa906y/mvZiTRVBGSAm6MRdd92l32P/J/aOfvOb3wy9YNkaQV0oi4AUseTyyy/Xp7B3FlO4WBuFkv3xj38cq0hKx7FGbPqBv/CKRsQqKGso+mHDhul6sdcVe34xTd5e7VXu27evPn7jjTdqCzeamB8Y+DGCaXNMNycl9ay16qARmBKmeIoAFaynhouNdSsBODXZM+TAY9jtTk2Gp5kehjVppk+trI3SNdPEZk0SFhvWbrFWal6xrNVYYwcFhjVTTNXCmxdWLxQsLGQo7nTKH//4Rx3JCV7H6DMCTPzgBz+QV9X4mTXb448/Xnsww8ELPzzgoIXAFMbDOVp7oIh/9rOfCaa88UMlmWhWej9rNKu1pZoen/IKrdZowD1yLKqChav6ueeeq6dpELfTCCK2mPik5i/Cg0HgiQdnAYRNw4Np9sRhrQTX4gGlkIAfCTRQTjN2p6by6dOluM7y8UKff/KTn+hpVuPRa28znJtMlCJYd2ZaNtoUrfnsow4oYpSDwown2OaDaVtYgFgnReCJZB2m4tVvzmE/LqxvKFZY35j6hVVu30YEq/y9997T7YGy/H//7/+FeRVHuxe+K9F2vP7v//4v2iXhx5TV2uTxyVJ0j2Jj9xDuP0FNCSur9YS+9dfDK1xLIMLJCb/YsH7RokWLiEabPWez1EZ5cx6/3CCjlBMHlCl+5UERY/oFG7MpJOB3AoUq6pA1/RycmsrUMQoJxCSAdHJqX2sB0stZBVbruLlUrDHBeetEhAUL77spU6bIvHnzInpiFCzWKrB2gWmjk046ScfzhCPAlVdeqQNiY8M4potwzC6IAAMrFzFOsSEb1i0UMhwMoLThaIHycCjAr0rrxm97XXxPArkmUKBi8uZZPG7h1FSeiUADue4o758eArBU5113OPuNXbnSak0PYxfVEqFgO3TooMOVWTdZm/YaBQvFB2WI+Jzvvvtu2EZxXIvjELjFW+W+++6T+So9F4KJY/rHBA+HFyIUOrwGEf8UWwAQcBtZLRA4nEICbiQAh6bGlhi7cGrq6KF1Vzcy9XWbYLXeoKJSLZoR1s2Dpcp7GWuto9TxohJfIwha5yKmiOMBwJ4xpG+Cl2CrVq20tQpPPyhDiIngYv5aN2oj0guCYsNT0GxWN0oc67iI3QkX+JdeekluueUW7a2H8GOIS1qfwBmC4owAGSbHD1Zr0zr/A1Nyt3KeeQv7Jev2TCZXY7Cv9vPz16hml7R7Z658U6WWs8vG7hfL2pNHSe1nDRwFjfAzPzuzTLzPFL+kFCyyZ+BlBDkjn8Yv9rpA27BAIWaTtzWt0wsvvKAVsNl/ZoUE93kIpoUR89OUg+u8qdN6Pf8ngVwSgFMT1l2tsk/5INSqyEAUErASKNn4gXR+eZropOgW+aq4law8Y7LsOJpbb/z8xCSlYOFCj+waEyYoDzcl8LDD5nC4tUNM9BczNWyNejJ+/HgdFQUu8lC28FJOl8B7OVVJNli4/T5eL29+uaXK0Ov9T6X9q5T/QbUllVrtaafJqXV5Ru3PR33vU7m/tU6vl/f184e1Vtt0sB67kwdKE+XI1F1NBzsdP1/zq+/Do867nV+EgkWKKAzaf//7X909hBBDRBPkX/zHP/4h999/v15zhWLFfjU4OrVu3VpvxkZWjNLSUnn44Yf1Bu1evXrp7TsQTClDySKbBZSsiZaSAENeQgKuIbBBWa7Y82rkgPJZqFGRjygkECKwVm2vQeYb/LVK0yMOxxA+eRBhBYRAhIJF2DBEUjHyu9/9TvDCBu077rhDh0uDJYtpYXgET1f7/SAIDI6tOkhthfRPDz30kM4paRWsqyJrBaK1QAlTSMBLBODUVKWi+xiBU9MehBW0xNP1Un/Y1gwQWDBVhbuqjKxYWa16+w2dmCLZ+PhIhIKFJYqN4bEk2vYdXAvvY2SosAumia31jR49WvAyMmbMmND/JvanOWDNtGGvl+9JIJsEEF/YHqmpQincD2PEys1m23gvFxCg1eqCQXBfEyK26biviWwRCeSWQLQMOWXKD6FkEKf6cjsy7rh7wTNqFwW239inhGG1PrBWrbnyOXHHSGW/FREWbPabwDuSgLsJrFUzLsjxaqRYOdUxmIS7xywrrVMKtdl9l0vDDcvCb8e11qzg98JNqGC9MEpsY84IbKqslB1qK5qRfOUJjyD+lIATqFtrbWjHwLVWO5FAv6eCDfTws/PxCECxblZOeUbg1OSlDDnx+sZzKRKIt9aKSEx9R6VYMYv5kQAVrB9HlX1yTABOTZgatgqmhZtGSeTt+GaswBsEnlce5PAQtmW+qe10mjSa8AeRlhXe6AdbmTUCVLBZQ80beYUAnJrWKeVqz5BTqrahUQJIAEH5sa8VsYStotZav7pgktScOVbnl6WQgJ0AFaydCN8HngAsV1iwRpAhB1tyKAEkEMNqlS4qetw1c6Um/xsBhMIuJ0rAFwrWhMtKtNPW63bv3p1KsVAZr5c3HUmVodf7b2//TpXr2OrUlKdSK7Z+5plQSLZYDwv5xSKT2HG38cvbvl4K54yTRiuXhnXgUGFzqRkwWVutEPvzk1hvv77KaXlTk9v4JcrBaf+dls80P18o2EQHk9eRQDwCe5culW22sIdHL1okeZz+i4fNd+cKXp4tBc/cKQ327AzrG9Za914xSw6WtvVdn9mhzBDwhYJNx/qH0zpY3tkaVK75FX7xhXyqQn9apQKxtRPMkJPr9vP+aXj+4qy1ypBKaXTeRCmO8T1M/mngH4NtIofdyt8XCjaRAeA1JBCLwMGdO2XN4MF0aooFKAjHY621tuuuojSpfc/0EA7CU5D2PlLBph0pK/QaAUwL252aGKnJa6OYWnsxDYy1VvlgUWQFQ6YILFcKCaRKgAo2VXIs5wsCcGqqnj8/1BcEk+ioAkw0LCnxRf/YiTgE3nlaih8YFbHWKrBalYewVPSIU5inSKB+AlSw9TPiFT4lAKvV7tSESE35FRU+7TG7pQkgUAT2tSoF28COhFarnQjfOyBABesAHot6lwCCSKzq1y+sA+Uqt3GxStdI8TEBpVS1crVFY6LV6uMxz2HXqGBzCJ+3zh0BKFd7pKayiRNz1yDeObMELFar/UY1AyZJwYg77Yf5ngQcE6CCdYyQFXiNgD1SU37Xrkw/57VBTKa9cazWXSPvlwPl3aQgmfp4LQkkSIAKNkFQvMwfBLarkId4GUGkplbK0YlOTf4Y37BexLFapW6t9YDaokUhgUwRoILNFFnW6zoCcGracN11Ye2Cci3o1s11bWWDHBKIZbW2bCcybq7ICX0d3oDFSaB+AlSw9TPiFT4ggPVWezCJ1lOmSNF55/mgd+xCiACs1oUqh++iGZFQ+k84vK+1iFuwIuHwSCYIUMFmgirrdB0BKNd9a9eG2lUycKC0qaysN4i/6zrCBsUmgHRy8BBGyEOr0GqNzYxnMkrAFwo21UwSIOs0G4PXy5unK1WGXuj/tkmTpPrVV0MfpEbl5XLkvfdq5eq0/UHgF+8byA388vZ+KU0enywFi2dFNLXmjDE6+80hlbtVDXjEeaftz3V5Pn/OsqFlmp8vFGzEp4YHSKCOAKI07Zw9O8RDp59Tx5ghxx+PSMHqt6Rk/nXS8PMNYR06WFoue0fPktrOvf3RUfbCkwR8oWCdZlLAyDmtg+Xdl00DTk2f3XRT2Aez7cyZUTPkcPzcN35xv1HrWWvNUzGEi5JYa+X4e2z8bQ+HW8fPFwo27geRJwNJAE5N60aPDgsmUTZhgpSOGhVIHr7qNNdafTWcfu4MFayfRzfAfbMHkyju04fBJLz+PMSzWvuMFBmlPIeTsFq9joPtdz8BKlj3jxFbmCSBTco7eIcK2m8kv107QRB/iocJrP3gsIcw/lrkUGFz2XvFLGnaZ7iHO8em+5UAFaxfRzag/YJi3TxV7YO0CJQrIzV5+IFYoMZzQWVkB04eKNUj7j3sIRx5lkdIIOcEqGBzPgRsQLoIYJ8rpoatUjFnjjTt0SNdt2A92SQQw2oVbLlBvtaTB8mhKFtvstlE3osE4hGggo1Hh+c8QyBapKbSkSPp1OSZEbQ1NI7VqkMdcq3VqyMbqHZTwQZquP3bWcQYxrYcI4Xdu0uFJai/f3vus54lYLX6rMfsjo8JUMH6eHCD0rWdKmC/NUNOwyOOkM6WyE1B4eD5ftJq9fwQsgPhBKhg+UR4msDepUtl2+TJYX2gU5O3hrTZZ6tFbpgoYvMQtq61eqtHbC0JHCZABcsnwbME4NS0+bLLwtpfPn26FPft69k+Ba3hR3+4UDouvT+y2136HHZkalkReY5HSMAjBHyhYFMNVI8xynWw7lzf3zynqTLMZfs3DBggBy1epMXDhkmB8iJOpi9O2+9lfrl8/vO2r5fCOeOk48qlYV+V2NeK4Pw1Z449fLweL2Gn4+f18nz+GOw/7APENySQDgJbx42TmmXLQlXld+0qLadNS0fVrCPDBApeni0Fz9wpDfaEZ7ep7XSaDhpxsLRthlvA6kkgOwR8YcE6DfQM1E7rYPnsBQuHQxOy5BhBhpzOzz4r+W1T/2Lm+GVh/JCnFflaEUvYIrX5RdJo2G3S6LyJUhx2JvE3HL8sjF+c4SD/6Px9oWDjjDtP+YwAtuLYg0kg/Vx+RYXPeuqz7jw/83A0JsQTtsiONt1l5ZmTpdd5l/qsw+wOCYhQwfIp8AwBBJNY1a9fWHuPVMnUC3sz56drBzGG1ao9hFVKuQ+b9XRt09kwEnBKgArWKUGWzxqBNYMHh6WfKxk4UKBgKS4lEMNqFauH8JIlLm08m0UCzglQwTpnyBqyQGDDxIlSbQkeYSI17crCvXmLJAlgGviewRFrrbqWIVO05UohgSAQoIINwih7vI9waqqaqdbw6gSRmhAGUWfIqWcbh8e77r3mv/P0YUcm21qrtOt+eF9rBRMveG9Q2eJUCVDBpkqO5bJCAE5NiDNsFShXZsjJCv7EbwKFCg9hKFi70Gq1E+H7gBCggg3IQHuxm9Ey5LSeMkVKBg3yYnd82+bGHywSmXuNitoS7iFMq9W3Q86OJUiACjZBULws+wTg1IRwiEaK+/SRNpWV2W8I7xidgFKoTR8YIVrB2oVWq50I3weQABVsAAfdC13epBSp1akpv107QRB/iksI1K21NqbV6pIBYTPcSIAK1o2jEvA27VCKdPPUqSEKcGpihhyXPBRca3XJQLAZXiBABeuFUQpQG6NFaiqfMYNOTW54BmJ4CB8sLZe8G58RoYewG0aJbXARAV8o2GSyp9jZez2bhtP2Gx6pMnR6f2t5ZMbZePnlYcEkjhgzRhqptdhY7Uvn/e3PRjLvY7Wvvjpy3f5E7o+g/AXPTpOCxbMiurO7z1VSfc7PpPAbrR1tmfIzvwholgOJ8I9X3k2f30Taab/Gaf+dls80P18oWPug8b03CTBDjvvGrZFKJ4e0ckgvZxVYrXtHz5Kd32SoQ/eNGlvkFgK+ULBOMzlgMJzWwfLRs0kk+qDvVonSdy/62hsV665dXn9d8DcRIf/EOMViGcEPa60L1Tr4ohmRRfpPkDwVjamoqERq6wJ9RJSPLBX3CMunefzi0o48Sf6Z4e8LBRv5uPCIlwjsXbo0zKkJbe+kwiLqSE2U7BNAOjkEjUCgfqu0bCcybq7ICX2z3ybekQQ8SIAK1oOD5qcm165fL5svuyysSxVz5tCpKReDXI/VqmMIK6uVQgIkkBgBKtjEOPGqDBBApCYoVzg3GSkdOVJKR43KwN1YZVwCtFrj4uFJEkiFABVsKtRYJi0EEGO4ZtmyUF0mQ05aKmclCREwHsISxUNY+owUGaXWYGm1JsSSF5GAnQAVrJ0I32eFQJXa24osOUbgzNSRkZqywj50k7UfSNF9l0vDDV//yNHnkAz9GjU2JzPmc3YHhHfzGwEqWL+NqAf6Ey1DDiI15VdUeKD1PmniAuUhvKBSGtq7c/LAw45MtFrtZPieBJImQAWbNDIWcEIA666r+vULq6LlnXdKcd++Tqpl2UQJKKtVewjjr1VotSZKkNeRQMIE8qJduXXrVjn33HOlQYMGcs8994Rdctttt0nbtm2lZcuWMkZF2amtrdXnV61aJX1UtpPmzZtLz549ZanaegH5+OOPdT0oRyEBKFcoWSPFw4bJEWPHEkw2CMBqvUEFhrAp1/09+os8sJZTwtkYA94jUAQiFOymTZukW7dusm7duggQf/vb3+SWW26RU045RS655BJ56KGH5OGHH9bXjVKen8uUw8pNN90ku3btkqFDh4aUb0RFPBBIAmtHjxZMDxuBU1PLadMCySKrnYZChWJVU8JhoqzWPdc8pl7z6ciU1QHhzYJCIELB7t27V6aopNbz5s2LYPDUU09JXl6ezFH7FB944AGpUGtmCxculC1btshbb70lV155pUyaNEluvvlm2bhxoz5mlxEjRmgrd8WKFTJDObrAun300UelvLxcWrRoIU888YQuX1xcrBU5rGmK9wnAoSmaU1NegpGavE8gRz2IYbUK1lqV1bq/x3k5ahhvSwL+JxCxBtuhQwe55ppr5N13343o/Zo1a6SsrEwrPwgU7CeffCI4DunYsWPoOP7BOUwlG7nvvvtk/vz58rRyaOnSpYssWbJEn4LihkIfNGiQXH311TJWTRlOU5bN+PHjZfbs2VrhxxNTT7xreC4+gUwyzFu9WppedVVYA3Zff728hVmSKDMl8VvqzrOZ5JdKj5t9tlo6vzxN8NcqtflFsvLMyfJZ+94i736YStUZKeM2fhnpZAYrJT9ncDPFL0LBxmvmnj17JD8/P3QJ/scxvCDmnPlrjuPcm2++KYsXL5YbbrhBBgwYoK+H9Qq5Sn35nn766XLqqafKSy+9pKehmzRpItdee62sXLlSX0PxJoEGarmgiZqRsMo+tZxQ21t9wVMyQuDoDxdKx6X3R9S9o013Wd7/dqktaBZxjgdIgATSTyApBdu0aVPZt29fqBWYTi4qKhIch5hzOA7BOSMvvPCCVsDvv/9+6Jj5x1i5sIxRlylXWFgYdr+IgnUH4FyVqpg0WakGu/Z6efPLLVWG9fUfTk3VagnBSMnAgdJBLTEYqa98feOa6/KZ5pdU/xE7GB7CiMpkFXgIqzCHJedNlNNsFZLf4ShiXv38u+r5q+9hjXLe789fxBpsFAahQ8cee6xUVVVJdXW1PoYp4OOOO05wHLJaTQWa4/iLc0Yw3Xv77bcLHKWgbCn+J7Bh4kSpVkH7jTBSUwbH/PmZhx2Z7Mq1i/rxebdyclLKlUICJJBdAhEKdtu2bdpx6e9//7tuCTyD8f5///ufXHrppXLw4EHtzIR1Ujg3DVPbLLAu21ftY4TzE9ZO77rrLmnfvr306tUr1JtWrVrpNVU4M12v1t8OHDiQ3Z7yblklAIemqpnqS79OEKmpQh1jhpz0DgPytBbdc77IXKVAEazfCKzWkdNFKl8VaVmR3puyNhIggYQIRCjY5cuXy5AhQ+TGG2/UFfzud7/T77GvFdOId9xxh7zxxhvy5JNPyoQJE+Tyyy/X1z3yyCNy/PHHayu1RKUZgzcwPI6tgnXVqVOnCu5htveEXcA3viAQLVJTufIYb9qjhy/655pOKKu12a3fEyRFDxNara4ZIjYk2AQi1mBhiR46dCgmlcmTJwtedoH38esqQbZdME1srW+02guJlxEEqzACS9kq2E9L8RYBBJFYp8bXGkyiTP0QY4acNI6jZa31sJtgXd11a62cDk4ja1ZFAg4IRChYB3WxKAmIPZhEsZr1gPVKSRMBrLUiYIR1OhhVw2pFgH5OB6cJNKshAecEqGCdM2QNdQQ2VVbKDktGnPx27QRB/ClpIBDLQ1hV/dWld0qTiyal4SasggRIIJ0EqGDTSTPAdUGxblbr60bg1ATlSqemNDwU76gfKdh+Y7da23WXXSPvlwPl3aRJGm7DKkiABNJLgAo2vTwDWRuSpm+yrKsDAp2a0vAoQKFCsULB2mWIim6m9rYe2Hl4H6f9NN+TAAnkngAVbO7HwNMtOKi+4KvGjQtzaiodOZJOTU5HNY7VqtdaK+iR7RQxy5NApglQwWaasM/r36Y8ymHBGmEwCYcDnoDV6vAOLE4CJJAlAlSwWQLtx9tUKe/gapW8wQjWXTtbIjf5sc8Z7ROt1oziZeUkkG0CvlCwJp5lKvB2796dSrFQGa+XNx1JluFeFXhk43XXhbFr89xzsgsJHJJYFwwqPwMO/c/b+6U0feAyafzBoohnsWbAJPnqgjoP4ShcyY+fXzw0yX5+rc9fxEOXxAE+f/GfP18o2CSeB16aBgK169fL5ssuC6up5Z13SkG3bmmoPVhVNFn2opTMv04rWasc+GZX2XvFLO0hTCEBEvAmAV8o2FQzYViHzGkdQSmPCE2rVHhMODcZKVbxqNtOcrYPMyj8QtCw1jpPzQC8Ojfym6P/BGmoPISbFZVEnotxJHD8bBzYfxV72oGQX2b4+ULBOniuWDRJAhvUtDBiDRvJ79pVWqoED5QkCCDjDbbfIHiEVVq2Exk3V+SEvklUxktJgATcSoAK1q0j48J2IUMOXkbg1NRGOTnlqb+UBAjAal2ognEsmhF5sbJasa9VkrBaIyvhERIgATcRoIJ102i4uC2wWhFn2CqI1HSwbVsXt9pFTYthtR4sLZe9o2dJ0SnnuaixbAoJkEA6CFDBpoOiz+vQ6679+oX1snz6dClWmZdS9V70ObKvu1eP1brr7J/KIWTBoZAACfiOABWs74Y0/R2CcrWmnysZOFDKJk5M/438VmMMq1Usa62Homy98RsG9ocEgkqACjaoI59gvzcoRWp1amKkpgTA1WO1cq01AYa8hAR8QIAK1geDmKkuwKGpaqbKP1oncGqqUMeYIScO8bXKw/ruwZEewpgGRgzhkwfFKcxTJEACfiJABeun0UxjX2C1YkuOVaBcm/bokca7+KyqBcpDGMnQ7XLywMPbb+ghbCfD9yTgawJUsL4e3tQ6h/XWNYMHh627tp4yRUoG0fqKRrTZZ6tFblBr0rBerUKrNRouHiOBwBCggg3MUCfeUSjXfWvXhgrAqalNZWXiFQToynb/nCsV78yN7DGt1kgmPEICASPgCwXrZKuI14NVO22/ed4Nw20q5GG1JSNOo/JyOfLee2Nux3F6f6+Wb7hhmRTOGScV6q9VDhU21zGE9/dQ+1pr1Zl6vIS92n/TZ6fttz9/yX7/Or2/18uTX/xg+4k+T6nqkPqeH18o2EQh8rr4BHYvWiQ7Z88OXZTXvLm0ZqSmCGgFz0yTJs9Ghofc36O/DhrBfa0RyHiABAJJwBcK1mmgaoy80zq8Xr7xp59K1TXXhH0I2ioP4tLevRP6YHi9/wm1H2usiCFsW2utzS+SRhP+II2Vh3DjhGhFXpTQ/SOLhY6wvLNgHeRHfnE+XvWeivX85NVbkhf4nkCDXbtknQqDaA0mUTZhgpSOGuX7vifcQXgI39AzQrnuaNNd3r78cW6/SRgkLySB4BDwhQUbnOHKTE8LVDYcazCJ4j59pHzGjMzczGu1IuMNrFZEZbIKPIRVcP4PmymlSyEBEiCBKASoYKNACdKhfLW3tdHSpaEuI5gEgvhTFIHnVZAN7GtFZCardOlzOGhEywqRJUuIigRIgASiEqCCjYolGAd3KEUKBWuVTsqDOPCRmuqxWuU8teeVQgIkQAL1EKCCrQeQX09jn6s9/VzFnDmM1JSI1erXh4L9IgESSCsBKti0ZoFC/QAAIABJREFU4vRGZdEiNZWOHBlspyZard54eNlKEvAQASpYDw1WupqKGMNWp6YDHTroIP5BlYKX1d5f7GuNt9YaVDjsNwmQQMoEqGBTRufNglXKOxhZcowcKiqSrywZc7zZqxRbrazWont/KI1Wfu3kFapp5HThWmuKXFmMBEhAE6CCDdCDgBCI9gw5X91+uxxq1ixAFOq6+upckXnXSSO71dqu+2EP4YoewWPCHpMACaSVABVsWnG6tzKz7mptYfn06fKfoKWfg0LFvtZ3omxFGjJF722lkAAJkEA6CDCSUzooeqCOVf36hUVqglNT2cSAbTeBUh3fPkK5HvhmV5G73qdy9cBzzCaSgJcI+MKCTTUTAgaqvmwI9Q2mF8pvHTcuzKkpv2tXOeLWW8My5KTK0Av9b7Bnp8580/iDRRHDWX3OT6X6nJ9JkVqLri/zTURhywE/84vXb6fjb+omv3iU6z9HfvUzindFpvj5QsHGAxf0c9UqGw5eRpAhp02AMuRAqUK5QslaBVYr0spVH3lM0B8R9p8ESCBDBHyhYGNlMkiGmdM63FgeW3FgvVql/bx5UtKtWwQaN7Y/opFxDkS0v5611oZqrRWuXQfq8rVGlI9zr2inWJ7ZWKI9F4ke4/Pjz+fHFwo20Yc4SNdFc2pqPWWKlAwa5H8MWGuFIxM9hP0/1uwhCbiYABWsiwfHSdPWDB4sCIdopGTgQGlTWemkSveXjWe19p9w2ImpqMT9/WALSYAEPE1g83tLZPvKD7gP1tOjGKPxG5R3MPa8Gins3t3/kZqQTg5WK0IeWqVlO5Fxc0VO6Bt+nO9IgARIIA0EdqxZJls3rZHtqz6QTe++qv8aoQWbBsBuqgJRmqoskZmQfg5hEP2aIQfOSwUIc7h4VuQw0GqNZMIjJEACKROo3rRWtn/yobZON//rVdmkXvGECjYeHY+dg1OTPVITlGtTvwaTUFZrs/tHSt729eEjRavVY08um0sC7iOwr3qHVqbGKoVlCgWbjFDBJkPLxddGy5BTNmGCP52asNa6cKrIohkSESmFVquLn1I2jQTcS8Csm36mFCksVOtUb6Ktbv2tPlLauYe06NRDWp/Ul2uwiYJz+3XI7Wp1airu00fKVWB/3wnXWn03pOwQCWSbAJTn9lUfStXfn5OajavlNz/7et000baUduouxRVd5BsdT5Rjep8jpUqp2oUWrJ2IB99/Pm2a7HhabU2pk/x27aSD5b0HuxTZZIvVaj9Zc8YYKRhxpwg9hO1o+J4EAk/Avm4KCxXTv8lIs9bttFUK6xSWaRv1gpgIULH2MVPBJkPZhdfuXrRIoGCNwKkJytVXTk2xrNamR8jucY9JbefeUlDkbKO6C4eWTSIBEkiSQDrWTfObHaGt0Tbf7nv4r1Km+cWpbe+jgk1yAN10ebRITZgW9pVT0wK11rqgMhL7yQP19pva2gaR53iEBEggEAS2/fsN2bF6mexa/3HK66aFx3SXDr36htZNi9tUpI2dLxRsqoGaQdFpsPJclT+oQvxtvPxywV8jxcOGSSMVYCIVHqmUySS/hhuW6RjC+GuVQ4XNdQzh/T3OE6nN/fiZtrmNXxi0OG9y9fzam0R+diLJvQ8CP+w33bHmI/li9b+1Uq36cGlykNTVJR26qlc3vW5a1qO3rK0+oOs4oW6nxUH1fzIs6/v8+ELBJk3ZBwUQY7hm2dfKBxlyWs2KshfUg30teGaaNMHeVpvs79Ff9o6eJYfU1DCFBEjAvwR2b1kvO/6rlOkn/5ZtSpF+oZTr/l3hCTvq633TVuXyDSjTY0+Ult176/8bq+nfMFFbGzMpvlCwsRaYkwHntI5slq9S08BYezWCDDldXn9dsP6aqmSz/dHaqO+/Vj3siMaEv1aBQr1mrjQ+eZA0jlZYHXNF+2O0LZHDbml/P5U3+NW6KGB/+ctfZMCAAVGb/+ijj8oEtQ0Mv+DvvPNOmTRpUtTrEj2Y6f4fOnRI0Oa77rpL1q1bJ0cddZScccYZut2tWrXSz89PfvITuf/++6M2+YsvvpCSktjrcJluf9RGWQ56+f5QnHvWfB0FKZX9pvZ1U6yhJjPVmyl+vlCw9T18fjqPEIj2YBJHK2XreaemetZa6SGc+ad469at8tprr4VutGDBgggF+/nnn8vVV18tTz31VOYblMY7PPjggzJ+/HhdY0VFhWzZskXmzJkjHygLZvHixfq4mRo84YQT9DVWadz46592xx57rOCap/3mqR/W48y9se43rVrxLzXtG74MlMidzX7TovLOUtKxm7T7Vu9EimX9GirYrCNP/YbY54og/lZppb44CqKkn0v9LtktadZaxbbWKnVWqyirlZIdAk8++aQcPHhQuqnnaZlafnjmmWekpqZGCgoKQg144okntGL56U9/qpXxu+++m53GObwLLFfI3XffLT//+c9l5cqV0qVLF3n//ffln//8p5xzzjkhBTtRxfK+6qqrot4R/V29erVWsJT6CZj9pvqvCt5QX2jBaDVivyksUv1S22TMFhlcm8x6abS6M32MCjbThNNUf7RITaUjR0rx8OFpukMOqlFWa7M4HsK0WrM7JlCekGuuuUZmqGWIjz/+WP7617+GWbFt27aVV155Rb7//e9L796xrYZmzZrp6eNnn31Wzj///JgdgZLGfTds2CCNGjWSiy66SO655x4pLi6OWqar8jVYvnx51HM4CIXZwxYatLa2ViZPnqzLDB06VP/t3FlZPmrKFxb59u3b9THzZR3r3lDMv/rVr/S1mD5v0KCB/OlPf9LKmSI6jKA1Tm869pti72mqW2TcMCZUsG4YhQTagGlhbMsxggw52JKzK4GyrrsEGW/uVpZ4tLXWIZUi5010XZP93iBMmb6u1vHz8vJksJolgcK7/fbbxT5N3L9//7ShgCX8i1/8QlvIWP+EVfmb3/xGNm7cKM8991zU+2B61ioHDhz2Am3YsKE+XFhYGFEOinvMmDFhx/HDAcoVAksWYhQslPRjjz2mGXzrW9/SbWyngrfgR8Wbb74pb731lhxzzDFywQUXREwlR9zcpwfMftP/Ln1RT/F++enypOP0Yt30iGOUc2bP70mbbr20hZrMuqkX0FLBemCUkCEHLyNwZupogklYtul4oCsiz888vK/Vngy9Sx/tyCQtKzzRDb810kwP91EhNsvKyrQlCQUbbZo4kb4vXLhQ7VGulVNOOSXm5ZWVlfrcD3/4Qz11CznxxBNlkfIpgJLr2bNnRNk///nPYceMUkzGSeU///mPvidkuJoBgrKEfPnll/rvL3/5S/0XgjXal156SVAGDl///ve/tYLFNDqsfLdPUYY64vAfTPFu/tcSSVecXkz1QqGmMn4Ou5LV4lSwWcWd/M1gtSLOsFUQqSnf5oSRfM1ZLgGrFR7CiMpkEexrrRkwWZpc5MwLNcu98d3tzPTwxRdfrPsG5QbF89///jdimjiRztc3bbpr1y758MMPdVVHH320/O9//9P/w2LE+u8bb7wRVcEmcu9417z33nty9tlny2effSa9evUKU6awZFu3bi1nnXWWdoj66KOPBBY7LFlY1tepWaQgCKZ6tSNShtZNg8DQ9JEK1sWjjXXXVWrbhFXKp0+X4r59XdzqKE2LY7Xuuvw+OVjaVppEKcZD2SGA6eGlS5fqm81UuYQfeeQR/b9Zm7RPE6ejVTvUs21k6tSpgpdVME0cTfADAE5GRuxTxI8//rheX40mcFA688wztdWELTrwhMb2HSNYL7YKpoQvvPBC+f3vf68tWT8KtshUqWhIqzes0vlNU1k3xX7TsuO+FYrT6/V103SOc1IKds2aNdKxY8ew+3fo0CH0wN922236l97evXv1FBP2lGH9A3vO4Jxg3OHT2QE/1wXlCiVrBE5NZcrD0TMSw2rVHsJ1a63WSFSe6ZfPGoppYHgPQ6zKy3Qz1WnieJise0rHjh2rLUWrYM0zmsDxKp6TE757ogmsUDhbQbkOGTJEr7Fi642ZooSi3rx5s7ZsrU5S+fn5ujp4U/tBYJk6yW9q32+a37qDFB3V1vE+dD+wjdaHpBSseRgxfYK1Ggi8BSF/+9vf5JZbbtGKFRu3se+su3LEwYeHkjwBTAtHc2pKvqYclYhjtXKtNUdjEuO2Zl0TnrZ33HFH6Kp9+/bpzzKsTbs3cYyqQodffPHF0Bos1nTtgu8Nsx0IDkrG0xjrr1Bm3/jGN+xF9HtM21ol0TU8BMXAPl+sCf/xj38U4xRl6tq2bZvAQxoWrfF8hhWNHxcQTCdD4DkMwRS32yVT66bWfgdlDTrVsU5JwWKaBQoW7uzmQcV0CzwQsXkbx59//nmBo4NdwWL6CRvVMe0CqxZrPbfeeqt+kPHLFFsEvvvd78o4FQoQ1i8+DPG2A6TacTeXi+bUVKGcnDwRTCIBq9XN7IPWNkwPv/3227rbZv3VMID1Bk9ZfFbNNDGmYPEesmLFCv133rx5eooZHry4DoK66tumgx/kl1xyiTz00EP62urqav2d0aJFC+3klC6BVW5+RMBT2Wodw3L//+2dC3BUVZrHP14hEAKBkAAhQBAQkSAwGhcMs4Cyi/hYYJTSUXaNUKMCjjBqwYBTAlOWY/koHq6CpVWIa+G64qhrMbruoKA4uioIAipPkYxB3giBCATY8z+dC7dvv+69fbv7dvf/q+rq5D7P/Z3T/fU53wvfUWjLHWqF6EX1ORs9erRgZQ52YcyIcfyECRN0c2AvhqxevVr+TeUCv+WWW3zx/eSF3RQl2RBjGi7e1Ku+yLbruFKw06dPl61bt0peXp48/fTTcqeabWH5GL9UjRgyZELZtm1bEE/YQDD7feCBB2T8+PHaMw8CpYw0ZjNmzNAxcJgF40OMgY6Bj7i7bBHMWq2ZmqBc06JCzqoX1betcgSxegh36x/wEC4bkC3dmDbPiXhOKBk4NMHByCpQlPgsGsvE+ExjlmkWLNvihe8DJ4Kl2tmzZ+vlWryg0DGThRdvaWmpk0tFPdY828SMyzrrMryHF6lc3vjeWrZsmU6n2FqlIEUbMas3vJTxP/Yjfvedd96R669XRSeSLAiRqYETkkrcUL3yTfm5ZrtsqXM2ozbqm7Yq66Pz9HYbWJnW8aZJ7gLbt2uklkQuWPljnIZfl8by8KhRowRu9lh22b17t4wZM0b/4sPAhMBTb+3atdqmARtsSUmJdprABweDEzNffCj79Okj9913n3auQE7TWbNm6Q8wbDKYJeMDXVNTE7ZlxnKNkTs17EFptLGRWnZqoTLINFazCkNOVVUJXn6WpidrpffKx6T9dwFHGXNbv7+ySnZV+Lv9fmbLtpFA3c4Ncnzbl3JSKVK8Th+68P1gh07j3DxpXtJT8noN1O94NWvX0c6pPCZOAo5msPg1a15Gwi8/2DagSFu2bCmw2RiCpRXzL1os+eAXKrZjOQi/Dg0pKirSfxqzX8Nmg//N14zzWX1/eu4f/hCkXOsrK32vXKFUoVyhZM1SW9hDtoyYKbXtg53ifN8JbCAJpJAAFOiJ7ev1rPTkDwGF6rQ5zUt6SMueAyUXyrRzQKE6vQaP94aAIwWLTC/vv/++jgeDgjQ866BIkWEF+2BHgWLEzBNB44bA1vrMM89IpVIaCGA3B3PH+yiGw5Wb69h1koh0ba/OP6qWyvaZQgFylN1ngMpmE8vuGu/9YUuCOGaIZWDEtX7+ZiiacbOllfISvjx0T8iWeNuf6vNd82sgker2p/r+2cwPdtOdH7+r65vW7vrGVZ7epm07SJ5Sppf+cmRInt6QD1uYDanu/1TfP9Hjz5GC3bdvn14WRnJsKMp5KiYTnncVFRXajgMbxsSJE6WwsFBXq8CSryHt2rWTwYMH6xkwloOtzk9h+j5rNh1TNp19iokhyNSEZBKxlGvKAEGpQrnS1pqyLuCN04uA2W7qNt4UITLaCUllQeqk3hFv+sm6DRpEv4aojvSikvmtdaRg4XwEgz9CcGBHhWJduHCh5Obm6hkQ9iH29fTp03rpGF52VsHsFR59qMNopEqzHpNN/6No+v6GROTGcyPHsC+dmmLMWnVsK4UESEBnQoon3hQIUZKt5IoGr94MzNObDcPEkYIFEMTKGZUprIAi7cNs1hAsJUMBG2L2sYIDlVGzEfsjJfy23jdd/0cSiX0qHMmcbKFY/TAp9KNTU4RZ65nScqmbsEhalUeurJKu/cN2k4AdAkh2X71FOXQ2pBZE/KlTQUk2Y1Zq5Ol1eg0e7z8CjhWs/x4hfVuEZBKYwRqSr1YBMHv1lUSbtV43VWrHzvVVc9kYEkgkAaMkG5Z53dY3Nceb5pb2kmIVJuOkWEEin4/X9pYAFay3PG1frUbZso8oO6shcGqC3dVXgsT8sLUieYRZilQau8kvivQdhhpfvmoyG0MCXhFIlN3UXN/UcPLxqs28jr8IUMGmoD+gWPdYkpv7yqkJs9blama6IsxsWs1ata01ryAF5HhLEkgcAV1BRiVvqMHsVC3zYrbqVGg3dUoss4+ngk1y/57atSuk/FwH5TTmG6cmO7PWJDPj7UjAawK6FNvWDbLrk/fkyPaNumi4U4HdtF35YGnX8zIpHTBYpxikkICZABVsEscDnJp2jB0bVCEn/9e/lnxV9DnlwllryruADUgMAa/tpnBCQrgMJN44zsQ8Ma/qFwJUsEnsCeQYtlbI6aBih1MtBT8or8f/qopua011I3l/ErBBAHbTg9s26BAZL+NNzXZTG83gISSgCVDBJmkg7FPewaiSYwiSSfRetUqcpej2uLFq1tpjzb9L6YbloRemrTWUCbf4jsB+VSwcS7yHNn/q2m5adFmldB00IlBFhvGmvuvjdG5QRijYeDzxkBc5HrFzfp0q5fWDmr2apaOqHlKrakvaOT9a+9ye33SLKi+2ZLKUHtwddPlzLVrLiSnLpL63imutV7tieAm7vb9x03Q/33gOt2Mw3Z8/3vY74Qc76ZEdm2Tv+o9c200LepRLQY9+0mHAL6WgZz9p1vEi3QQjbzrKzjvpy3ifP97znfAzjjW/x3v/dD8/0fwyQsGGGzh+2VavKg3tuf32oOYUqRSSLYakLjFD8/9+THLffiwE0ekB10ndnYvkXMs2Ifu4gQSSSeD4j7vlyM5NKj93QJnu27DG8e1bdugibZUyLW5Qpog3tUq8CsJ6Pf5PAmYCGaFgvQjSjvcakc7/RqWLNGdqKlRFnbuqNJFWiXS+9bhI/9s6f5eytSKuFe8mqc/Jk6ZTX5ZmFWOkWaQbxNhu6/5RrsHz4/tRk878zqpapid2qPCYOO2m8OJFakEjI5ITu2k688PHiu335+cnIxRslO/tlO5CpiarU1PKMjW9puJaX5sTwuNA90rZcs1MqaxIfuHokMZwQ1YQMMeb/vDVp7q+6TaHT454U3jzFvS5Ui/5lvTu5/AKPJwEEk+ACjZBjOHQZHVq6pmKCjkRZq2CZeApL8rmE20TRICXJQHRjkeIN9XJG1QSB7d5evXsVIXGWPP0OrGXsj9IINkEqGATQByzVsxezYJMTTllZQm4W5RLRpi1SsXoQKpDZGNqqAcb5SrcRQK2CHgVb4oybFjmNceb2moADyIBnxGggvW4Q5BMYuvw4UFX7aSKqecPG+bxnaJcLsasVZStlUIC8RAw4k13rnlX9isHJDgkYZsTQX3TJsVlktdroAz61R26vqkTu6mTe/FYEkgFASpYj6lbMzUVjB4tJXPmeHyXKJezM2uNcjp3kUA4Al7l6TVmpVjyzS8pUwsoq/XtSi4fGu623EYCaU2ACtbD7queNk2OqeQRhrTo31/KTMklPLxV6KVQ8eaJsSEewtrWiuT8108LPYdbSCAMAcNuinejaHiYw6JuQp7eSHbTqCdyJwlkEAEqWI86Ew5N+xYsOH81ZGqCcm1SoOycCZbmKxeLIK4V+YTNcqmaFShHJikqS3ALePl0JWDEm26v3qpTC8IZyakg3rT4kl/QbuoUHI/PeAJUsB50MYqm11gyNUG5JrxCjpq15i38V0FWpiDhrNWDXs28S5jz9OrZqVKmbuym5njTHJUJqZmypcYbh5l5tPlEJMBcxHGPASSRQKYmODcZUjx1qhSMSbAj0V/UbFnFtTblrDXuPszUCxh20wNKmWJ26ra+qdVuaubFMJlMHT18Li8IcAYbJ0UoV6RDNCR/6FBJaDIJ2FqRjQl1W83CWWucPZnep9Numt79x9ZnJgEq2Dj6tUZ5ByORvyE53boJ4l0TJg2zVquttf7iSp3qkLbWhJH31YWNeFMkbqj+v7+Kmzy9rTp102ExbfsO0knve/0jM3n5qpPZmIwgkBEKNp5lKrfJvo+vWCF75qr0gw3SuHVr6fDyy7pCTqwKNOaRY+f+jVXFG1S+sdpaUfnm6Mj75fiw30ieyifs5L7W0euWoZ32W+/l9Pn9fL7RtkTxO137k44x3fulSnqvqslAmWKbE2mW1zpQQWagqiCD5Pcq6T3sphCj/xLVfrvtTNX90338Jnr8xeo/8otejS0jFGysQeD1fjg17Z08OeiyRY89Js37eZ8PNedvyyT31ZnS6ETwl+qZ0nKpm7BIjrcLlNvy+hl5vdQQOF/fdPtXOoEDvHydCuqbYlbarudlUqSUaV7Hrk4vweNJgAQ8IJARCtYLD0a714AzU81vfxtUIafNPfdI6aRJcXVHyP3hvARb6+dhlpzHzZYmKra1lbrjmYZ6rSHnO2wNz09+NQ7YTfdv+FQOK2V6cOMnrvL0GvVNO5VfqSvJwMPXjbD/k9//5n4i/8zknxEK1s0XittzrBVycsrLBbNXTwVKFcrV6iHcrX8grrXM3Zeop23kxRwRMNtN3cabGnZTePUiVy+S3xtLq/F+QTt6GB5MAiRgiwAVrC1MgYP2zZ8vR0xOTEgmUapssZ5JjFmrzshE8T0Br+NNjYxIzNPr+65nA0kgiAAVrM0BgRSI1ZZkEherbaeVkvVEOGv1BGMqLlK3c4NsqlkvXsSbGpVkkKeXQgIkkN4EqGBt9N+pXbsESfzNUrZkic7U5Nb70bgWnJfgISzrw8yEla2Vs1YbHZTEQyLFmzpxRTLy9GJm2vqSK7RnL5d4k9iJvBUJJIkAFWwM0HBqslbIKbzjDimsqopxpo3dataa/0xViIew0NZqA17iD0mU3dTc8nh/oCWeAu9AAiTglgAVbAxyWBZGAXVDPKmQY7K1qqjZYOGs1UokKf/TbpoUzLwJCWQVASrYKN0NpyZUyTEETk09483UhBSHT6rlZquHcFE3kcnqXn2HRWkRd3lF4Hx9002fyZHtG3USB6fS6RdD5edWRZJb0lOG3Xa3rm9KIQESIAGDABVshLGAWavVqQlpEHPKXH6JQqEuV5mfVswPuePJa+6R5uP/JJJXELKPG+InYLabIr2gm5JsZrupOd7UKBhO5Rp/P/EKJJBpBKhgw/Qo7K5bhw8P2tNl3jzJHzYszNE2NmHWirhWJOo3i5q1Hr/jGanvPUSa53nkjWyjOZl8iNVuCs9epyXZwsWbZjIzPhsJkEBiCFDBhuEK5WouPwenpuJp08IcGWNTlFmrXDdVewjX14dYYWNclLsNAlCc+7/6m87Te3z3tzoTktOSbEae3q6DRugsSEjewHhTjjESIAEvCGSEgo3HE9OarBo5hs1OTcjU1OaPf4wYjmM93+gUJOZH+A0S9ZvlbGEXqbtzkZ61Sv2FZOtuOzPS/Z1ezy3DeO/v5Hxznl63dlNrnl7JL9So8vJUsQQldWfVqyH9pBOG6cAv3PM44Z+I841rkl84uva3kZ99VuGOTBS/jFCw4YC52XZs2TLByxBdIWfRImnsIJkE4lqbv60S//91UUgTYGs9+S8z5Rxqt1KiEoDT0ZEdm3SeXihTNyXZjDy9bVXS++IBQ3S8qVXiVTDW6/F/EiABEjAIZISC9SJIv9l338mBWbOCRkb3pUulYIiaadoQ3YYotlZ4CDdXHsLNI1wr3mdI5/NRMebwts8FDkjI0+uF3RQZkZws9aYzPwwptj++H63kR34RvpptbY40fjJCwdoiEOWgs2pJ0JpMotPs2VIwZkyUsyy7lv4urIewVIwOhN/QQ1gDs8ab7v92neOSbDmqlqm2l6rqMS1KL9Yz05LeobNT+53HI0mABEjAewJUsIrpnttvF6RDNKRg9GgpmTPHFu0m1RsDqQ7Ve5BgGXjKiyIVDpS0rTum10FGvClmpZihwhHJqSDeFBVkMCvFu7kkm1vbidM28HgSIAEScEog6xXs/t//XurWrDnPzVGmptfmSqvX5oQyz9JZq9fxplCm8OqlkAAJkEA6EshqBYssTT8tXny+35CpqUxta1IQI+HDLjULQ1wr3s2SRbNWI970B1UwfP+GNXJk5yZX8aZtuveVtr0uk7KrRuoZqhO7aTp+4NhmEiCB7CGQtQo2XKamLio1IirkRBU1a5Usm7Va7aZu4k3NdlMs8eKF7EfGEm8kJ4GofcGdJEACJOBjAlmpYJFE4vs77wxKJlE8dWr0CjkRZq3nWrSWugmLpOXQ23zczc6almi7qbPW8GgSIAESSE8CWalgdynlGlQhp7JSMHuNKFFmrcfGL0zruNbTh36UEzvWyydr39ROSG7y9CLetLjP5XpWSrtpxFHEHSRAAllGIOsUbI3yDj5iqojTtEsX6WRKLhHU/xFmrQJba5VSyMOq5JyLrD+pGmNY6q1ZtzpsvOmPNhtlzdOb0/EiaabCZrjEaxMgDyMBEsgaAlmlYKFY98xVNlSTQLmGzdT0lwUBW6u1rNylQwPhN0Vlvh8kWOqt+WKVDo3x0m5qfnCGyfh+GLCBJEACKSKQNQoWS8JYGjZL2ZIl0rSfJUEBKt7AQxhZmcyCWatKzi/XTwve7pP/oED3rF2tsyAlIt7UJ4/JZpAACZBA2hDICgUbzqkJFXIKq6qCk/gWxD9aAAAI/0lEQVSnyawVITLaEUkp072bv3CVp9eob3qkSb4079xTRk2YmjaDlg0lARIggXQgkBEKNtYy5d4pU0Iq5LRdsEArVyR7b3KoWvKefFBQAccs8BBGcv6TIyYFNoext8abLD7W+adrf5J9X32scvV+peNND6sk+NjmRFCSrbj/EB1vWoR3lVoQdlPIejWzh8RiGOl+sdof6Txje7qfbzwH+cXq6ej7yS86n1h7yS8Woej7E8UvIxRsNHQ/qWo41go5pStWnD8lb/ULkv/uU9K47mjQZeovrtThN2cLu0a7vOf7UJIN9U0D1WQ2Os7TiwahJFuHgb/UOXrxyuuY3GfwHAovSAIkQAJpSCAjFGwkD9Zjq1bJ/pkzg7ql9+rV0rKrUjgxbK1Nla0130GHRmpDtEtgibfm4/+RQ6ok27HvvnaVpxchMpiVdu73DyF5eqPd27rPTfvN1+D5gRUBK1e7/5Mf+dkdK+GO4/jx5/jJCAUbbsAheT8q5Jily7x5gUxNkWyt3fqLTH9TTQHLwl0yrm1mu6nbeFOEyCA3rzne1FjaiPcDFtfD8WQSIAESIIEQAhmrYK3l5+DUVPybKpEnlNL9XClRq4ybHfAStm538X+0eFO7l0NqQa1MVcL7TuqdeXrtkuNxJEACJOAPAhmpYEMyNfXvL12r/knk3u4ilrjWM6Xl2tbaqtxeYfVw3Qa76fZvVMFwl/GmuCZKsqG+qTlPb7h7cRsJkAAJkEB6EMg4BYsKOXgZklPYWi4Z20EaPzs+tEfUrLX2n38Xuj3KFi/iTREiY8xKESIDRyQu8UaBzl0kQAIkkIYEMkrBWpNJFHQWuWj4WWm0+b3groGtFcXQy1TlnDChN8bBRkm2PWtVNiSXeXrD2U3NjXHrHp6GY41NJgESIIGsIpAxChbJJLYOH647r0kzpTsrRKBg5WRtcIdGsLWaS7JBoSIjErY5EdpNndDisSRAAiSQ2QQyRsFCuULJQqlCuULJBol51qp2GCXZvv/0f3XM6fEfdzvuadhNC/sN1ku8XQZcpeubUkiABEiABEgABDJCwVZPmyYnN6+XHlc1zFotfXtw6N1ysNtgqVm6wHWeXrPdFJ69cEaCGEu8+W3ii8PicCQBEiABEsgsAmmvYG9U/XFq+QLpd31g1nrstMhB9dpTp97P5UrN0Z9Fdj6njsLLnsSym9q7Co8iARIgARLIZgJprWCvUMvAj5SLHCkUeWe/yIFTStmeNXenUq4xxMjT27G8gvGmMVhxNwmQAAmQgH0Cjc4psX+4f46s27ZR/jz+Mjl+xlmbth4T2ar8nqpPBF4HlVKmkAAJkAAJkIDXBNJ2Bvvjn5+LqVz/rpaJtyiF+ncoU/U3lCqFBEiABEiABJJBIG1nsGdqvpf/HNtdKdnABLxVu2Jprzx6kcABTkhIM0ghARIgARIggVQRSFsFC2BQsrv/4wnp+Ku7pUWvfqliyPuSAAmQAAmQQAiBtFawIU/DDSRAAiRAAiTgEwKNfdIONoMESIAESIAEMooAFWxGdScfhgRIgARIwC8EqGD90hNsBwmQAAmQQEYR8J2Cffvtt6W8vFxat24tI0eOlD179mQU8EQ/jB1+O3bskEaNGgW9evbsqZu2ePFivX3NmjWJbmraXX/v3r0yatQozefJJ588334yu9CVkRiZO5vjz93Qf+GFF6RHjx7SqlUrGTJkiKxfv15fiOPvAs9IjFI1/nwVB3vo0CG57bbbBF/2M2bMkEceeUSmqTzDr776qrsRmWVn2eVn5E++9957ZejQoZoSPrSUyARqampkwIAB0r59+8gHZfkeu4w4/pwPlHXr1sldd92lFevEiRPl8ccf19+VX3/9tfOLZegZdhklc/z5agb73nvvSW1trVasDz30kNx6663y1ltvyenTKrkwJSYBu/yMATZixAjBa+zYsXLttdcGXX/Lli3St29fadu2re6LbJe6ujqZPXu2LF26NCKKbGdmhxHgcfxFHEIRdxw+fFgrWIy/WbNm6c/rt99+G/TdmO3jzw6jZI8/XylYLB1BjOXKsrIyOXnypFRXV0cceNxxgYBdfsYX3PTp07UCbaMqAS1ZsiQI5XPPPSeY4Xbu3FkeffRRwYc3mwVLc1OmTNHLw5Ek25nZYQR2HH+RRlDk7ddcc41eCu7evbscPHhQVq9erU1pzZpdqMuZ7ePPDqNkjz9fKdgTJwK5DHNycvRIM96N7ZGHH/eAgF1+9fX10qFDB73kCcWKZc/JkyfL/v2qYkKDQLlOmjRJHnzwQb2FS1Hn0UT8g8wiognawfFnj1O4o6Bc4QeA9/nz5wcdwvEXwBGNEY5I5vjzlQ22ZcuWmtCpU4EM/FhyguTl5el3SnQCdvndfPPNgpchR48elalTp8ratWvPb8MvZYhhc8RKAiU6ATKLzsfYy/Fnj5P1KDiQDR8+XHbv3i2vv/66XH311UGHcPyJxGIEYMkcf76awfbq1UsPmO3bt+v3bdu2CZRG165d9f+U6ATs8vvoo49k7ty5AsUKMZSn+YdMtKXQ6K3I3r1kZq/vOf7scTIfhVnXDTfcIHAkW7lypdx4IyphB0u2jz87jEAsmePPVzNYhOXAHvjwww/Ll19+KW+88YZ2dGrSpIl1LPH/MASi8Vu0aJHMnDlTO40dOHBA5syZI5999plUVlbKvHnz9I+YiooK2bx5c5grcxOWz2H32rlzp4axceNGWb58uQwaNIhwGghEY4TwMY4/90Pl+eefly+++EJ7/X/wwQf6BZkwYYL7i2bYmdEYYcafivHnKwUL5frKK6/I/fffr93QYbR+6qmnMmwYJO5xovHDLBXOJfDIvummm7Tj0rPPPisffvihVqwLFy6U3NzcxDUuza+MHx7jxo07/xQvvfSS4IXxSgkQiMaI4y++UWL88MWPPLwMsXr/x3eX9D47GqNUjT8m+0/vMcXWkwAJkAAJ+JSAr2ywPmXEZpEACZAACZCAYwJUsI6R8QQSIAESIAESiE2ACjY2Ix5BAiRAAiRAAo4JUME6RsYTSIAESIAESCA2ASrY2Ix4BAmQAAmQAAk4JvD/pODsc/CWY0wAAAAASUVORK5CYIIA)
Podemos observar que la inclinación de las rectas que representan el movimiento de los tres autos tienen distinta inclinación o pendiente, cuanto mayor sea su velocidad, mas recorrido hará un auto en para la misma cantidad de tiempo.
En general, podemos escribir las funciones de este tipo de la siguiente manera:
f(x) = mx o y=mx
Donde "m" se conoce como pendiente de la recta.
Volvamos al ejemplo del auto viajando a : la pendiente de la recta que representa a la función es la velocidad (los), que es la variación del espacio recorrido en un determinado tiempo, y podemos expresar esta relación de la siguiente manera:
El símbolo Δ (se lee "delta") incida en matemática "variación", y la variación entre dos valores se define como la diferencia que existe entre ellos. Por ejemplo: la variación entre 5 y 1 es 4, dado que 5 - 1 = 4.
Y la fórmula de la velocidad queda:
Entonces, conociendo dos posiciones de nuestro auto, podemos calcular su velocidad, por ende, su pendiente. Por ejemplo, si tomamos el punto de partida
y el punto correspondiente a la hora de recorrido
:
Lo interesante es que podemos tomar dos puntos cualesquiera pertenecientes a la función y calcular su velocidad, podríamos haber tomado como
y
:
En general, la pendiente de una recta resulta de la variación de los valores de "y" con respecto a la variación de los valores de "x" y podemos calcular la pendiente de cualquier recta si conocemos las coordenadas de dos puntos pertenecientes a ella mediante la fórmula:
Ejemplo1:
Para determinar la pendiente de la siguiente recta, elijo dos puntos cualesquiera que pertenezcan a la gráfica, por ejemplo
y
:
![](data:image/png;base64,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)
Ejemplo 2:
En este caso, voy a elejir los puntos
y
:
![](data:image/png;base64,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)
ACTIVIDAD 1
Determinar la pendiente y la ecuación de las rectas a partir de los puntos que se indican para cada gráfica.
Respuestas
ACTIVIDAD 2:
A partir de los puntos dados a continuación, determinar la pendiente de las rectas y su ecuación. Graficar:
a) P1=(-3;-1) y P2=(6;2) b) P1=(1;3) y P2=(3;9) c) P1=(;) y P2=(4;2) d)P1=(-6;4) y P2=(0;0)
Graficar una función de tipo y=mx a partir de su pendiente
Podemos graficar una función y=mx a partir de dos puntos pertenecientes a la gráfica. Pero existe un método mas sencillo, y es a partir de su pendiente. Veamos un ejemplo:
Tenemos la siguiente función:
Significa que si nos desplazamos 5 unidades en x (
), partiendo del origen, por ejemplo, tendremos que desplazarnos 2 unidades positivas en y (
) para hallar otro punto de la recta. Veamos:
Si la pendiente es negativa, como por ejemplo en la función:
Podemos considerar que la relación entre los desplazamientos es la siguiente: cada 3 unidades positivas en x (
), hay que desplazarse 2 unidades negativas en y (
) para hallar otro punto de la recta.
ACTIVIDAD 3:
Graficar las siguientes funciones lineales definidas por fórmula en un mismo sistema:
a) b) c) d)
Ordenada al origen de una función lineal
Partamos del siguiente enunciado: "Un auto partiendo de Neuquén viaja a una velocidad constante de , en el mismo instante de tiempo, parte otro auto 150 km mas adelante con la misma dirección, y también a una velocidad de ".¿Cómo sería la representación gráfica de ambos autos en un mismo sistema de ejes cartesianos?
Para empezar, ambos autos tienen la misma velocidad, por lo tanto, la misma pendiente, la diferencia radica en el lugar en donde parten. Las funciones de espacio recorrido en función del tiempo para cada auto tienen que tener en cuenta la posición inicial, por lo que sus ecuaciones podrían expresarse de la siguiente manera:
Donde ei indica la posición inicial para cada auto.
Para el primero auto (A1), podemos poner como ei =0 km y para el segundo auto (A2), ei = 150 km. Entonces:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJIAAAAVCAYAAACtzrfuAAAACXBIWXMAAA64AAAO3AFr0Fv4AAAJ8klEQVR4nO1aCVQUVxa9Bd3QNCCLIFsAtwAjxIgiyxjcAKMOqKOGMRhNiMeVoJKJoijGaCRBBBUUnSieMHpc4j6MQVFUXCKKjIKC7CBEAQFZmqaVbvpPVTc6bN1diGYSD/ccDq+qXv3699X97/3/uziEEPSiFz0F5//dgV68HegVUi9eC1gL6VlWGHFzWIO7tG355W3kRY4AD6DeXNd+O0gb0sm2jzzw96R6/On7XGQE24D7ghsRkYJj6xAQshtJBY3QMHPGxyHR2LrEBQZq3fBR3gNSn3MFyakZyBPY47PFnjDl9Cy2yjgJzs8gphNOoKnjTcN2oCQtANbMs7vJiZ2QmnNJ7OehMhExKEvNRp10BEzVesD0dwExqUiJRsDcr3CitKvrLaTi1Dy4+R5CdeuZ5vJbiA8cjQJxJi4G2RINtEC1jwpRSMpwwG8cvrgDaPn8G4sC3yQn+nGCpxApbYMN7/acWAhJTIrj5mPVLSmgpklL/TlQcgulz+fAVIsNsd8pWirIyXmjMD2+SLHPswxEBsmDyXUOxamd45C3bhqCEhtwfV0Ikj49Bm8+Cx9DFclFkInEB3LT3nsodBX2uZZkp2WjluoLeyc76Kt3ECgbTrRIhNUCyJZYw7Yh86zfy4RAcXVhyGHJuwMnlUJqKT+OZSuvQgxLLNozB5fnhSGn/B5KhATOWqqzb1NGOPHxXI0UTR/EXDqKxe9qdCtlE1EhSYhYi7C9CbhZJgRl7ITPN+9HzGd20OpJaVXXR39jiczs5zoe2qkXUdzB5VnOTzj2kLEM4Re+EpOddCiP8EASk7gJRY1JiE8XwNNYtY+3Vx+lXRHlJ+HOM7l9e6EVOAtpY1AouZe1AQ6abTg2XkGA2zRcVvdCQk0SvPW6z4l+o2ioaJBZHOOBsDIxhl6HONK8SXc5KRcSeUqSQ5YioZFucvYubPRpwgz6dA75FffLm+FrpKn0duA5KTj6Ay5WM/r/F3b//Ajzlw0gHJYCkNZdJ+s8x2JTuuR/Xaq6jTh/P9h/cBNBg7ly4lnRZPGaC6iRKmuNQp9R67En2LFVgDzKYfl+8rOvDTzssvCJOR30xnbkSWPuDcjiicEYY8uXWZpWbrCl83pRcyOy75Sj1lqVTwXEXn0IVyFnCalIvYLHHc4ajPLAAFXh7QRVnBiIUVtaK3/yvUgsmp8Mu+GeZMasiXAw4FDseHfmpFRITenhWPxjFaAxFuFhH8JI6wrMGSE2PEbGI7rEvaeKqQYG+MzC8Igw/EdjNGZ7mIGtiEBqSXLQdLmIbBfgwNHvMNPkMj4aOAMJwkLcKqOf3yokSeUvOH46AQIVTXIlCxErF5L82GI0NcmCNgRZXWymtUBQUScvARx9GPNb8z9HB32Z2DbTYSivQ52mKp8GMMOAq5BnAzITc+S2WxyKL8hLjRpXEyrnVl1xVMqJgQRPy+rkZkUKDu9NoY3tWL/CHZsunSGrR2qx4N2Zk2IhiQtJXOAWMNXWNngbZlvRrs/0YM6k0wYRSgtr6cb6qMguFKXrsgnpoq+JmA4Ll9UKRo6WsqNYF/+EtqzwZXwYJvLzcHrnblwVMlft4D6A99JXZ/xhqoEcZts0a7DZqu3xdq4oD+fuNsvMdz90gTmf105ALRWnSeCcLbjHlD7JE6TJTl7FVxPdEc6hH88bguXxsZhhrs4ytnw4h53FmSXVqHyYg7SkQ4g7k4tm4VWsmbsVUzNC8CpTXwVCkpKqM6sQmiqvFbkbh4G/sb3Hk9wndJK0ZrfsU9OgFI5IBWi4cxzpsrdUiihXI0S9vGKCKbE/wr//m94CU4euSeskRFKHKiEdCz16dEoaUdO6bu5jpg99lT59lMZIUn4D1yoYywCuY607ZSEiKsH1C9eQ2e6uZ8hNvYZcmV2LqU1SWX/ZgUuZjPDA5BHyI/+lwSQgzAkOa7LoOctpXKkIoTN/9zl1zVF4G98vP4Z6Jd2pyq+ksxyBNHs/WbFgFX64Xg6psSuW7j2BLVM6lDCpmEjoRMhhnZGkRFRTSwuVAQ927qNhY24FmxFjMeVv0/GBlRbT0Mu2Xm2OpAp0NrVxJpa4ijIUIiW/Cf7mOnhemoo8WQLRwRBHcxj2dYZyHzP5/o2CGDTlX0K+zLLBeBt+p16om81E3EV71LXQB8LrCJq2HvcxDBtORcBNm3HQg61FTwYVj7J0siXayIIQzyFsJqB5s+PUBl30QEyK9i3DNma2pTMVR3MOwrvviw0jAZJn9Yf36SaIy4vwVNICtRsHcKJ8OALWDsT9HTHYHhiFuRMiMFxWeQgR3AzFuNF0edMcg803zpIV9jwWL1GN0rW0Jjp0Im9k5lm+3yDGdyDU6kuR97AGYqt3mJH7EpInqThFz5HqVIVMuoieI4F16ubZ+WKaeSRiHtfg4MrNmBkzhuSvj6bDy8RmAj4doQMeT5WPNgQ315KuY0CIqLoa8gVbJe5mlKBSKiGPaw3xnoORbDBSPAvKaZyF3L1eSIyY/+rGcBzrCU+9V1i1CtLJrl13YPmBK2zN+Gj+9Qp2Bp2EbMZADwpnUy545qp5d0QnIUlrziFkXSqYwW21KBR/seC32cGWEoN+zDBoYlISqsQcOPsnoOATDehoCnAuex8uXqqEoOVFa80oTjiEdEbJzSk4cKEcQfbsVm06rksxx+IYdj1qQGKgG6xfbNI5xuJh2mJYtcnkOuMOUrXkIOtYsgZ/OIK3TMM//U6h/tZG+Li8qO9c/HlDGCbI9lJU+YiRozAGdNYbNJSY4AYtoxJsnzSInvbScD+CqhRfGL2B3w1EOfH4Njim0yqRmTt5frsGbjKNsOHdHh2EJCIZUUE4UkeblAuCA97vUAbUoKXfmn6rC1HFBEdLk9LRpDNPWhRWnRTCcPZsDH2ZoTWpwTPnk/H/WI3LGj5YNMmc9aqN0nWnIi8fIdpfhGJPUh7qCbNNMgijRtFl8zf7YIFDWcw6QH6RBGNJ6D6kPBSBazoSs0KisT3AtnU+w4EqH2Ux4DtvwP61xVgYmYRiZruZbwl3JwNQDMeOkdKbSl3q6dcafDtM9Hwf529mokzAtMXHO06T4b/6O6z+66DWkqWaU6dItT/Uohw35YNsUtQLHuW4uQRkc/uzzwv24mOvb3DXcgESt3rBgGoTqGGrqOSqVa/EWWuwLxVx1hcRr3R3N6DrQf0kUPCCKG1qyJwduEz/KYQKH6UxUO9HeW08h6KNXV9+ZSjgpGW/hIo7v0T1/Wx4t0HPlz7C22TDlAU4A2/svRiNiUZqb8UPub3oHnooJEJqzn+NqAeAtZ8rROfiEKvel4ycORMj+7Ld1+jF24AeCkmMquwi2arj4cG1CJTNd62x0mUqI6TX0L1e/FHQQyFpUHYhD0BCXk9nevHHRe8Xkr14LfgvL/S/jZjNPRQAAAAASUVORK5CYIIA)
La diferencia entre las dos funciones es que intersecan al eje de ordenadas en distintos lugares, es decir, tienen distinta ordenada al origen.
Ahora estamos en condiciones de definir cualquier función lineal a partir de su pendiente y su ordenada al origen:
Definición de función lineal:
Una función lineal, es aquella función que tiene por ecuación la forma:
o
Donde:
m es la pendiente
n es la ordenada al origen
A partir de la ordenada al origen y la pendiente, podemos graficar cualquier recta sin necesidad de utilizar una tabla de valores.
Ejemplo:
Graficaremos la función
![](data:image/png;base64,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)
Nota: La pendiente está expresada como fracción (), pero también podemos expresarla como decimal () y la función puede expresarse como:
y la variación de y con respecto a x queda:
Es decir, por cada una unidad en x, debemos desplazarnos 1,5 unidades en y para hallar un punto de la recta.
Ejemplo 2:
Graficar la función:
![](data:image/png;base64,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)
Ejemplo 3:
Graficar la función
![](data:image/png;base64,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)
Nota: La pendiente, además de darnos la inclinación de la recta, nos dice si la función es creciente, decreciente o constante:
ACTIVIDAD 4:
Graficar las siguientes funciones lineales
a)
b)
c)
d)
e)
f)
g)
h) ![](data:image/png;base64,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)