{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 10 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 260 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 1 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 286 "" 1 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 1 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 289 "" 0 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 1 10 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 291 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 294 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 295 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 296 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 297 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 298 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 299 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 300 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 301 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 302 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times " 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 } {PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output " -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE " " -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Norma l" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 257 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 64 "DEUG -- MASS1 en 2002-2 003 ; 2\350me TP : Fonctions et Graphes " }}}{SECT 1 {PARA 3 "" 0 " " {TEXT 262 59 "I) Fonctions r\351elles d'une variable r\351elle et le urs graphes" }}}{PARA 3 "" 0 "" {TEXT 256 25 "D\351finition et notatio n : " }{TEXT 257 43 "On note K et J des unions d'intervalles de " } {TEXT 259 2 "R," }{TEXT 260 72 " f : K ----> J est une fonction r \351elle, \nK est son ensemble de d\351part " }{TEXT 258 115 "et J son ensemble d'arriv\351e.\nA tout \351l\351ment x de K elle associe un \+ \351l\351ment et un seul de J not\351 f(x), l'image de x." }}{PARA 257 "" 0 "" {TEXT -1 53 "- On appelle graphe de f , l'ensemble des cou ples de " }{TEXT 261 1 "R" }{TEXT -1 68 "^2 tels que (x,f(x)) avec x \+ dans K (et n\351cessairement f(x) dans J)." }}{PARA 257 "" 0 "" {TEXT -1 159 "- Quand f(x) est une expression alg\351brique, elle admet un e nsemble de d\351finition et K doit \352tre contenu \n dans l'ensemb le de d\351finition de cette expression." }}{PARA 257 "" 0 "" {TEXT -1 23 "Cette d\351finition est co" }}{PARA 257 "" 0 "" {TEXT -1 56 "mp atible avec le cours de m\351thodologie du 1er semestre. " }}{PARA 257 "" 0 "" {TEXT -1 94 "En particulier une fonction r\351elle d'une \+ variable r\351elle est une application \340 valeur r\351elle." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{PARA 257 "" 0 " " {TEXT -1 345 "Quelques exemples mais attention : La fl\350che -> d e Maple ne g\350re que l'association de x \340 son image f(x), elle ne prend pas en compte l'ensemble de d\351part K ; pour les mentioner no us utiliserons le graphe de f et les arguments de la commande plot com me un peu plus loin ci-dessous mais commen\347ons par \351tudier comme nt Maple dessine les graphes." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "f1:= x -> x^2: f2:= x -> exp(x):\nf3:= x -> ln(x): f4:=x ->2*ln( x): " }}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 164 "On peut alors \351valu er la fonction en n'importe quel point de son ensemble de d\351part ma is d\350s que le point x\nn'est pas dans K on peut obtenir des r\351po nses \351tranges. " }{TEXT 281 14 "Expliquez les." }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 36 "f1(0.23); f2(-1.5); f4(-1.1); f3(0);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"$H&!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,;IJA!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#^$$\"+' f.i!>!#5$\"+3`=$G'!\"*" }}{PARA 8 "" 1 "" {TEXT -1 51 "Error, (in ln) \+ numeric exception: division by zero\n" }}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 241 "Remarquez que pour Maple le logarithme d'un nombre n\351 gatif est un nombre complexe. Mais remarquez aussi que ce n'est pas i ncoh\351rent car exp et ln reste des fonctions r\351ciproques ; Digits =30 sert \340 obtenir une bonne approximation num\351rique." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "Digits:= 30 :a:=ln(-2.1) ; e xp(a); Digits:= 10 :" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG^$$\"?\" oDlg#[7tPHZMP>u!#I$\"?G$QVEYQKz*e`EfTJ!#H" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#^$$!?++++++++++++++@!#H$!?i_fxxAJhU%f=VR/\"!#f" }}} {EXCHG {PARA 257 "" 0 "" {TEXT -1 232 "Essayons maintenant de visualis er les images de f2 sur 20 points entre -1 et +1. On met les valeurs d e x dans une liste A et les couples (x,f(x)) dans une liste E. On ne \+ demande que 2 d\351cimales pour que l'affichage soit plus clair." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "A:= [seq(evalf(j/10,2) , j=- 10..10)];\nA[1];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"AG77$!\"\"\"\" !$!#!*!\"#$!#!)F+$!#qF+$!#gF+$!#]F+$!#SF+$!#IF+$!#?F+$!#5F+$F(F($\"#5F +$\"#?F+$\"#IF+$\"#SF+$\"#]F+$\"#gF+$\"#qF+$\"#!)F+$\"#!*F+$\"\"\"F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!\"\"\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 263 29 "Voici une fa\347on de former E. " }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 157 "E:=[seq([evalf(j/10,2),evalf(f2(j/10),2)], \+ j=-10..10)]:\nE1:=[seq([A[j],evalf(f2(A[j]),2)], j=1..nops(A))]:\nE2:= [seq([A[j],evalf(f2(A[j]),5)], j=1..nops(A))]:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 264 60 "Maintenant on dessine les points de coordonn\351es \+ ces couples." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "plot(E, sty le=point);\nplot(E1, style=point);\nplot(E2,style=line);" }}{PARA 13 " " 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6&-%'CURVESG6$777$$!\"\"\"\" !$\"3%**************p$!#=7$$!3A+++++++!*F-$\"3w*************4%F-7$$!3U +++++++!)F-$\"35+++++++XF-7$$!3a**************pF-$\"3++++++++]F-7$$!3w **************fF-$\"3U+++++++bF-7$$!3++++++++]F-$\"3')*************4'F -7$$!3A+++++++SF-$\"3S+++++++nF-7$$!3))**************HF-$\"3!********* *****R(F-7$$!35+++++++?F-$\"3]*************>)F-7$$!3/+++++++5F-$\"3A++ +++++!*F-7$$F*F*$\"\"\"F*7$$\"3/+++++++5F-$\"33+++++++6!#<7$$\"35+++++ ++?F-$\"3%**************>\"F^o7$$\"3))**************HF-$\"3/+++++++8F^ o7$$\"3A+++++++SF-$\"3++++++++:F^o7$F;$\"33+++++++;F^o7$$\"3w********* *****fF-$\"3/+++++++=F^o7$$\"3a**************pF-$\"\"#F*7$$\"3U+++++++ !)F-$\"3;+++++++AF^o7$FY$\"3++++++++DF^o7$Fgn$\"3;+++++++FF^o-%'COLOUR G6&%$RGBG$\"#5F)FfnFfn-%+AXESLABELSG6$Q!6\"F_r-%&STYLEG6#%&POINTG-%%VI EWG6$%(DEFAULTGFhr" 1 5 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6&-%'CURVESG6$777$$!\"\"\"\"!$\"3%**************p$!#=7$$! 3A+++++++!*F-$\"3w*************4%F-7$$!3U+++++++!)F-$\"35+++++++XF-7$$ !3a**************pF-$\"3++++++++]F-7$$!3w**************fF-$\"3U+++++++ bF-7$$!3++++++++]F-$\"3')*************4'F-7$$!3A+++++++SF-$\"3S+++++++ nF-7$$!3))**************HF-$\"3!**************R(F-7$$!35+++++++?F-$\"3 ]*************>)F-7$$!3/+++++++5F-$\"3A+++++++!*F-7$$F*F*$\"\"\"F*7$$ \"3/+++++++5F-$\"33+++++++6!#<7$$\"35+++++++?F-$\"3%**************>\"F ^o7$$\"3))**************HF-$\"3/+++++++8F^o7$$\"3A+++++++SF-$\"3++++++ ++:F^o7$F;$\"33+++++++;F^o7$$\"3w**************fF-$\"3/+++++++=F^o7$$ \"3a**************pF-$\"\"#F*7$$\"3U+++++++!)F-$\"3;+++++++AF^o7$FY$\" 3++++++++DF^o7$Fgn$\"3;+++++++FF^o-%'COLOURG6&%$RGBG$\"#5F)FfnFfn-%+AX ESLABELSG6$Q!6\"F_r-%&STYLEG6#%&POINTG-%%VIEWG6$%(DEFAULTGFhr" 1 5 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6&-%'CURVESG6$777$$!\"\" \"\"!$\"3%)**********zyO!#=7$$!3A+++++++!*F-$\"3))**********plSF-7$$!3 U+++++++!)F-$\"31+++++I$\\%F-7$$!3a**************pF-$\"3w***********e' \\F-7$$!3w**************fF-$\"3?+++++5)[&F-7$$!3++++++++]F-$\"39+++++I lgF-7$$!3A+++++++SF-$\"3F+++++?.nF-7$$!3))**************HF-$\"3M+++++? 3uF-7$$!35+++++++?F-$\"3e**********H(=)F-7$$!3/+++++++5F-$\"3y******** **R[!*F-7$$F*F*$\"\"\"F*7$$\"3/+++++++5F-$\"3'***********>06!#<7$$\"35 +++++++?F-$\"3/+++++S@7F^o7$$\"3))**************HF-$\"3))***********) \\8F^o7$$\"3A+++++++SF-$\"3-+++++!=\\\"F^o7$$\"3++++++++]F-$\"31+++++q [;F^o7$$\"3w**************fF-$\"30+++++5A=F^o7$$\"3a**************pF-$ \"3\")**********z8?F^o7$$\"3U+++++++!)F-$\"3\")**********\\DAF^o7$$\"3 A+++++++!*F-$\"3++++++gfCF^o7$Fgn$\"3;+++++I=FF^o-%'COLOURG6&%$RGBG$\" #5F)FfnFfn-%+AXESLABELSG6$Q!6\"Fcr-%&STYLEG6#%%LINEG-%%VIEWG6$%(DEFAUL TGF\\s" 1 6 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 277 "Si c'est pas r\351gulie r on peut augmenter la pr\351cision en demandant plus de d\351cimales \+ : evalf(f2(j/10),5). En fait ceci ne donne qu'une indication du grahe \+ de f2, en voici une autre : une ligne bris\351ee qui joint les points \+ de E. Pour plus de d\351tail, regarder le Help sur \"plot\"." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "plot(E):" }}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 257 "On obtient une meilleure id\351ee du graphe \+ de f2 : [-1, 1] ----> R en subdivisant [-1,+1 en ]plusde sous 'interva lles, disons avec 200 points. En r\351alit\351 le graphe de f2 corresp ond \340 tous les points de [-1, 1] mais comme c'est un ensemble infi ni, on ne peut " }}{PARA 257 "" 0 "" {TEXT -1 107 "dessiner qu'une app roximation. Voici une bonne approximation avec 200 points et 20 d\351c imales de pr\351cision.." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "E1:=[seq([evalf(j/100,3),evalf(f2(j/100),20)], j=- 100..100)]:plot(E1);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7ew7$$!\"\"\"\"!$\"3MBWr6WzyO!#=7$$!3!***** **********)*F-$\"38d/A5pw:PF-7$$!3#)*************z*F-$\"3;&*R^))46`PF- 7$$!3u*************p*F-$\"3E))R.\"QI3z$F-7$$!3k*************f*F-$\"32? 6vf)G*GQF-7$$!3a*************\\*F-$\"3K7]aM-TnQF-7$$!3Y*************R* F-$\"3\"3@&e`$yi!RF-7$$!3[+++++++$*F-$\"3S6gr.r`XRF-7$$!3S+++++++#*F-$ \"3#>9X3T!>&)RF-7$$!3I+++++++\"*F-$\"3pfjLSACDSF-7$$!3A+++++++!*F-$\"3 5\"*fS(f'plSF-7$$!39+++++++*)F-$\"3/bM_Fvb1TF-7$$!3-+++++++))F-$\"3!Q \"e\"o6Hy9%F-7$$!3%**************p)F-$\"3+!RwC\\:&*=%F-7$$!3')******** *****f)F-$\"3A)[xJ#3iJUF-7$$!3w*************\\)F-$\"3]ms[>$\\TF%F-7$$! 3o*************R)F-$\"3t'z!HM_5)F-$\"3[#**f]a;VS%F-7$$!3a+++++++\")F-$\"3i6%H Am!e[WF-7$$!3U+++++++!)F-$\"3=;A[F-7$$!3u*************>(F-$\"3E;(*ffD_n[F-7$$!3k*************4(F-$\"3 /^'4Y(>W;\\F-7$$!3a**************pF-$\"3G&49z.`e'\\F-7$$!3Y*********** ***oF-$\"3jb0m!pgd,&F-7$$!3[+++++++oF-$\"3e'*elB*ph1&F-7$$!3S+++++++nF -$\"3SCa'yx&3<^F-7$$!3I+++++++mF-$\"3)G*p\"\\M8&o^F-7$$!3A+++++++lF-$ \"3Xg,hnxX?_F-7$$!39+++++++kF-$\"3Y&[I/CCHF&F-7$$!3-+++++++jF-$\"3\"=( *o+,=fK&F-7$$!3%**************>'F-$\"3uWn%fPW%z`F-7$$!3')************* 4'F-$\"34)*\\u!p3NV&F-7$$!3w**************fF-$\"3)QES4O;\")[&F-7$$!3o* *************eF-$\"3')p]MZGFVbF-7$$!3g*************z&F-$\"3S?SllO)*)f& F-7$$!3]*************p&F-$\"3'3P&*pQa_l&F-7$$!3a+++++++cF-$\"3p[\")[Q1 47dF-7$$!3U+++++++bF-$\"3]m[!Q5)\\pdF-7$$!3M+++++++aF-$\"3R'*)RP_#[FeF -7$$!3E+++++++`F-$\"3%=b$y'p\\g)eF-7$$!3;+++++++_F-$\"3!Q%>qza?XfF-7$$ !33+++++++^F-$\"3&*eE7)yb\\+'F-7$$!3++++++++]F-$\"3CMj7(f1`1'F-7$$!3!* **************[F-$\"37hT%=%REEhF-7$$!3#)*************z%F-$\"3O391=R$y= 'F-7$$!3u*************p%F-$\"3!y+FGoA+D'F-7$$!3=+++++++YF-$\"3]f#p]XOG J'F-7$$!35+++++++XF-$\"3KLx@;:GwjF-7$$!3-+++++++WF-$\"3399$3@k.W'F-7$$ !3#**************H%F-$\"3GlJBZ440lF-7$$!3%)*************>%F-$\"3[n0:)> o/d'F-7$$!3w*************4%F-$\"3(R>j8]-lj'F-7$$!3A+++++++SF-$\"3G$Rc. Y+Kq'F-7$$!39+++++++RF-$\"3_Y;)\\uo0x'F-7$$!3-+++++++QF-$\"3JeN7#49'Qo F-7$$!3%**************p$F-$\"3wYNP1LM2pF-7$$!3')*************f$F-$\"3G 5.rgKwwpF-7$$!3w*************\\$F-$\"3SMr=(*3)o/(F-7$$!3C+++++++MF-$\" 3k(4EwA.x6(F-7$$!3;+++++++LF-$\"3sh#>VLP#*=(F-7$$!31+++++++KF-$\"3S4pt q.\\hsF-7$$!3)**************4$F-$\"3P#*GCi&pWL(F-7$$!3))************** HF-$\"3wyr\"o?#=3uF-7$$!3y**************GF-$\"3q_cyvcj#[(F-7$$!3E+++++ ++GF-$\"3masb9u$yb(F-7$$!3;+++++++FF-$\"3[J&oL%\\zLwF-7$$!33+++++++EF- $\"3`ic.ee^5xF-7$$!3++++++++DF-$\"3y[SrIy+)y(F-7$$!3!**************R#F -$\"3eLbm5'yi'yF-7$$!35+++++++BF-$\"3YSL.DgLXzF-7$$!3-+++++++AF-$\"3# \\yC'zz=D!)F-7$$!3!**************4#F-$\"3yq=qfC%e5)F-7$$!35+++++++?F-$ \"3A=)z2`2t=)F-7$$!3-+++++++>F-$\"3!HiL%R8fp#)F-7$$!3#**************z \"F-$\"3-?F69@q_$)F-7$$!37+++++++\"F-$\"3yu:$\"3'=G7F&=JR\"*F-7$$!3= +++++++!)F]hl$\"3bdj'QYj6B*F-7$$!3o+++++++qF]hl$\"3u#[f!*>QRK*F-7$$!3y **************fF]hl$\"3?([UeLXwT*F-7$$!3G+++++++]F]hl$\"3;Sr+XUH7&*F-7 $$!35+++++++SF]hl$\"3xJK_\"R%*yg*F-7$$!3!***************HF]hl$\"3b\"3& [N`X/(*F-7$$!3/+++++++?F]hl$\"3`_v1Ln)>!)*F-7$$!3-+++++++5F]hl$\"32\"o \"\\P$)\\+**F-7$$F*F*$\"\"\"F*7$$\"3-+++++++5F]hl$\"3&z;%3n,055!#<7$$ \"3/+++++++?F]hl$\"3ybn-S8??5Fa[m7$$\"3!***************HF]hl$\"3%p^`R` a/.\"Fa[m7$$\"35+++++++SF]hl$\"3@)Q#>u2\"3/\"Fa[m7$$\"3G+++++++]F]hl$ \"37CgP'4r70\"Fa[m7$$\"3y**************fF]hl$\"3kf`aYl$=1\"Fa[m7$$\"3o +++++++qF]hl$\"3a;UD\"=3D2\"Fa[m7$$\"3=+++++++!)F]hl$\"3ke\\nnqG$3\"Fa [m7$$\"3o***************)F]hl$\"3S5_q$GuT4\"Fa[m7$$\"3/+++++++5F-$\"3r Zc2=4<06Fa[m7$$\"3++++++++6F-$\"3Hr)e/2yi6\"Fa[m7$$\"3%**************> \"F-$\"3uv$z:&o\\F6Fa[m7$$\"3-+++++++8F-$\"3x@YK$QG)Q6Fa[m7$$\"39+++++ ++9F-$\"3OFs&))zt-:\"Fa[m7$$\"3%**************\\\"F-$\"31$GGFCM=;\"Fa[ m7$$\"3-+++++++;F-$\"3G5=*4(3^t6Fa[m7$$\"37+++++++\"Fa[m7$$\"3-+++++++>F-$\"3[^ sl(f\\#47Fa[m7$$\"35+++++++?F-$\"3&)p,;eFS@7Fa[m7$$\"3!**************4 #F-$\"3=Vn&*f!yOB\"Fa[m7$$\"3-+++++++AF-$\"3y!Q(eIn2Y7Fa[m7$$\"35+++++ ++BF-$\"3'yZH*4+ge7Fa[m7$$\"3!**************R#F-$\"3u/9K]\"\\7F\"Fa[m7 $$\"3++++++++DF-$\"3STxo;a-%G\"Fa[m7$$\"33+++++++EF-$\"3!=xlm3IpH\"Fa[ m7$$\"3;+++++++FF-$\"3IZKt]W'*48Fa[m7$$\"3E+++++++GF-$\"3(oVPB\")HJK\" Fa[m7$$\"3y**************GF-$\"31sa-)[FkL\"Fa[m7$$\"3))**************H F-$\"3=.gd2)e)\\8Fa[m7$$\"3)**************4$F-$\"3#y9Fa[m7$$\"3')*************f$F-$\"3NS.c9%HLV\"Fa[m7$$\"3%************* *p$F-$\"3aCLm9YtZ9Fa[m7$$\"3-+++++++QF-$\"3YCUV*e%Gi9Fa[m7$$\"39++++++ +RF-$\"3[UE)Qz!)pZ\"Fa[m7$$\"3A+++++++SF-$\"3Mq7k(pC=\\\"Fa[m7$$\"3w** ***********4%F-$\"3Z`G6&y%F-$\"3*Qj=cbh >_\"Fa[m7$$\"3#**************H%F-$\"3\\\"G[N_ds`\"Fa[m7$$\"3-+++++++WF -$\"3)fL6&=sq_:Fa[m7$$\"35+++++++XF-$\"3qo,\\&=7$o:Fa[m7$$\"3=+++++++Y F-$\"3#=[%*\\)R2%e\"Fa[m7$$\"3u*************p%F-$\"3Cgt@$>%***f\"Fa[m7 $$\"3#)*************z%F-$\"3X$*G>-W2;;Fa[m7$$\"3!***************[F-$\" 3!*y`&*>iJK;Fa[m7$$\"3++++++++]F-$\"3?G,qq7s[;Fa[m7$$\"33+++++++^F-$\" 3S')e%\\>\"Hl;Fa[m7$$\"3;+++++++_F-$\"3S')))p\\w-#o\"Fa[m7$$\"3E++++++ +`F-$\"3e]&='3B$*)p\"Fa[m7$$\"3M+++++++aF-$\"3ae[=io+;'F-$\"33Uj%=/G*e=Fa[m7$$\"3-+++++++jF-$\"3;VVEz0hx=Fa[m 7$$\"39+++++++kF-$\"3Y^\\Iz3['*=Fa[m7$$\"3A+++++++lF-$\"3+'*Q,H3a:>Fa[ m7$$\"3I+++++++mF-$\"3YJ?SMBzM>Fa[m7$$\"3S+++++++nF-$\"3eRfj?tBa>Fa[m7 $$\"3[+++++++oF-$\"3]Z/BKx(Q(>Fa[m7$$\"3Y**************oF-$\"3E#3VK`:P *>Fa[m7$$\"3a**************pF-$\"3jw/Z2Fv8?Fa[m7$$\"3k*************4(F -$\"3d]nke7*R.#Fa[m7$$\"3u*************>(F-$\"3i()Qk5KVa?Fa[m7$$\"3#)* ************H(F-$\"3%G7uwg!3v?Fa[m7$$\"3!**************R(F-$\"3wkV\\9b $f4#Fa[m7$$\"3++++++++vF-$\"3zuEh;++<@Fa[m7$$\"33+++++++wF-$\"3V=o\\?i FQ@Fa[m7$$\"3;+++++++xF-$\"3;:\\y`iwf@Fa[m7$$\"3E+++++++yF-$\"31,#)\\l AZ\"=#Fa[m7$$\"3M+++++++zF-$\"3YOfDEkR.AFa[m7$$\"3U+++++++!)F-$\"3VnC \\G4aDAFa[m7$$\"3a+++++++\")F-$\"3Irkn')z!zC#Fa[m7$$\"3]*************> )F-$\"3q0C`P)*\\qAFa[m7$$\"3g*************H)F-$\"3-$=k-u=LH#Fa[m7$$\"3 o*************R)F-$\"3%>4\"ywpO;BFa[m7$$\"3w*************\\)F-$\"3v!*f #>&okRBFa[m7$$\"3')*************f)F-$\"3u%z0PpgJO#Fa[m7$$\"3%********* *****p)F-$\"3!pFCN&3\"pQ#Fa[m7$$\"3-+++++++))F-$\"3u4sT1(**3T#Fa[m7$$ \"39+++++++*)F-$\"3Nu)*G^'H^V#Fa[m7$$\"3A+++++++!*F-$\"3%)\\p:6JgfCFa[ m7$$\"3I+++++++\"*F-$\"3Y;[QLDK%[#Fa[m7$$\"3S+++++++#*F-$\"3\\(HO**Q!H 4DFa[m7$$\"3[+++++++$*F-$\"3bayhx\"4X`#Fa[m7$$\"3Y*************R*F-$\" 3Gr#H$=9)*fDFa[m7$$\"3a*************\\*F-$\"3SYeJf'4de#Fa[m7$$\"3k**** *********f*F-$\"3%y6BMZ'p6EFa[m7$$\"3u*************p*F-$\"3c_TNfW%zj#F a[m7$$\"3#)*************z*F-$\"3K<%H>CcWm#Fa[m7$$\"3!***************)* F-$\"3[i#\\BZM7p#Fa[m7$Fjjl$\"34X!f%G=G=FFa[m-%'COLOURG6&%$RGBG$\"#5F) FijlFijl-%+AXESLABELSG6$Q!6\"Fhjn-%%VIEWG6$%(DEFAULTGF][o" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 182 "Comparer avec le trac\351 de fonction \+ vu dans le 1er TP, c'est exactement semblable. En effet nous venons d' effectuer pas \340 pas la proc\351dure utilis\351e par Maple pour tra cer des courbes." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot(ex p(x),x=-1 .. 1);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$!\"\"\"\"!$\"3MBWr6WzyO!#=7$$!3ommm;p0k&*F-$\"3. W^QtfrUQF-7$$!3wKL$3f&F-7$$!3hmmm\">s%HaF-$\"3R/uvRHL 5eF-7$$!3Q+++]$*4)*\\F-$\"3Eh`=4&fk1'F-7$$!39+++]_&\\c%F-$\"3en)*)HW)* \\L'F-7$$!31+++]1aZTF-$\"3QSdj9q-0mF-7$$!3umm;/#)[oPF-$\"3Oc1T#y(>goF- 7$$!3hLLL$=exJ$F-$\"3;7<*Q)=[wrF-7$$!3*RLLLtIf$HF-$\"3)=y\\.E)zbuF-7$$ !3]++]PYx\"\\#F-$\"33wFu%Q;Wz(F-7$$!3EMLLL7i)4#F-$\"3v7-HV,'p5)F-7$$!3 c****\\P'psm\"F-$\"3k,F]goIk%)F-7$$!3')****\\74_c7F-$\"3//[k;i@>))F-7$ $!3)3LLL3x%z#)!#>$\"3(RvD]\\+a?*F-7$$!3KMLL3s$QM%Fdr$\"3Kh#G[g:\\d*F-7 $$!3]^omm;zr)*!#@$\"3i$)QMzI8!***F-7$$\"3%pJL$ezw5VFdr$\"32Z0q6.0W5!#< 7$$\"3s*)***\\PQ#\\\")Fdr$\"3cs^ka\\!\\3\"Fgs7$$\"3GKLLe\"*[H7F-$\"3;( zM@lE38\"Fgs7$$\"3I*******pvxl\"F-$\"3W$e]g`5.=\"Fgs7$$\"3#z****\\_qn2 #F-$\"3TE;`;c\"3B\"Fgs7$$\"3U)***\\i&p@[#F-$\"3+&y'4$)zt\"G\"Fgs7$$\"3 B)****\\2'HKHF-$\"3H'>'[,1vS8Fgs7$$\"3ElmmmZvOLF-$\"3k*>pi+!4'R\"Fgs7$ $\"3i******\\2goPF-$\"3oHAQE.qd9Fgs7$$\"3UKL$eR<*fTF-$\"3]!RtqMte^\"Fg s7$$\"3m******\\)Hxe%F-$\"3wD+V%\\J@e\"Fgs7$$\"3ckm;H!o-*\\F-$\"31]tZ? v6Z;Fgs7$$\"3y)***\\7k.6aF-$\"3'Qf'fjFgs7$$\"3wKLL3N1#4(F-$\"3PvSfBwPK?Fgs7$$\"3Nmm;HYt7vF-$\" 3[J]$\\l(p>@Fgs7$$\"3Y*******p(G**yF-$\"3,i!=R[RK?#Fgs7$$\"3]mmmT6KU$) F-$\"3J=Ad$*[/.BFgs7$$\"3fKLLLbdQ()F-$\"3Q`]xri8'R#Fgs7$$\"3[++]i`1h\" *F-$\"3qVqM`&R&*\\#Fgs7$$\"3W++]P?Wl&*F-$\"3`rQsflo-EFgs7$$\"\"\"F*$\" 34X!f%G=G=FFgs-%'COLOURG6&%$RGBG$\"#5F)$F*F*Fa[l-%+AXESLABELSG6$Q\"x6 \"Q!Ff[l-%%VIEWG6$;F(Fgz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT 265 10 "Exercice 1" }{TEXT 284 3 " : " }{TEXT 283 124 "Refaire la cons truction pr\351c\351dente en rempla\347ant la graphe de f2 par le grap he de la fonction f(x)=exp(-x^2) entre -2 et +2." }}{PARA 0 "" 0 "" {TEXT 282 99 "Reprenons maintenant l'exemple un peu plus compliqu\351 \+ du 1er TP, en affichant le contenu de graph_f." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 86 "f := x->exp(x^2):\nE := [seq([evalf(2*j/100),e valf(f(2*j/100))],j=-100..100)]:\nplot(E);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7ew7$$!\"#\"\"!$\"3%* *****H+:)fa!#;7$$!3)*************z>!#<$\"3\")******)*31U]F-7$$!3'***** ********f>F1$\"3m*****zZ(**fYF-7$$!3%*************R>F1$\"3?+++&*=L5VF- 7$$!3$*************>>F1$\"3G+++pW4!*RF-7$$!3!***************=F1$\"33++ +\"G0mp$F-7$$!3))************z=F1$\"3)******zQWuU$F-7$$!35++++++g=F1$ \"3#******pAD/=$F-7$$!33++++++S=F1$\"33+++$)3d`HF-7$$!31++++++?=F1$\"3 '******4(G4XFF-7$$!3/+++++++=F1$\"3;+++v@P`DF-7$$!3-++++++!y\"F1$\"33+ ++%GUpP#F-7$$!3-++++++grE>F-7$$!3%******** ******p\"F1$\"3++++g4L*z\"F-7$$!3%*************z;F1$\"31+++Zjr\"o\"F-7 $$!3#*************f;F1$\"33+++Ow/t:F-7$$!3!*************R;F1$\"35+++V% yDZ\"F-7$$!36++++++?;F1$\"35+++$RH'z8F-7$$!33+++++++;F1$\"3++++K9F1$\"3K+++adB6vF17$$!3!************* *R\"F1$\"3w*****\\1F$*4(F17$$!3))************z8F1$\"30+++#>x`r'F17$$!3 5++++++g8F1$\"3K+++/hFdjF17$$!33++++++S8F1$\"3*********[(3BgF17$$!31++ ++++?8F1$\"36+++oM.6dF17$$!3/+++++++8F1$\"3z*****\\q![>aF17$$!3-++++++ !G\"F1$\"3q*****f$y#p9&F17$$!3-++++++g7F1$\"3K+++US*>*[F17$$!3******** ******R7F1$\"3#******zn3Ml%F17$$!3(*************>7F1$\"3L+++V=+IWF17$$ !3%**************>\"F1$\"3=+++CHym$F17$$!36++++++?6F1$\"36+++.Vt0NF17$$!33+++++++ 6F1$\"3?+++`Y[`LF17$$!33++++++!3\"F1$\"3&)******=VT5KF17$$!31++++++g5F 1$\"3!******Hc2f2$F17$$!3/++++++S5F1$\"3#)******4[R\\HF17$$!3-++++++?5 F1$\"3#)*****z#*[.$GF17$$!\"\"F*$\"3%)*****z#=G=FF17$$!3#)************ *z*!#=$\"3()*****4OTFh#F17$$!3k*************f*Ff[l$\"3'******zY3L^#F17 $$!3Y*************R*Ff[l$\"3=+++(e%f>CF17$$!3S+++++++#*Ff[l$\"3()***** fER7L#F17$$!3A+++++++!*Ff[l$\"31+++()z!zC#F17$$!3-+++++++))Ff[l$\"3))* ****H;!Hp@F17$$!3')*************f)Ff[l$\"3;+++3t4&4#F17$$!3o********** ***R)Ff[l$\"3y*****pNh]-#F17$$!3]*************>)Ff[l$\"3++++BJ$*e>F17$ $!3U+++++++!)Ff[l$\"31+++z3['*=F17$$!3E+++++++yFf[l$\"3.+++j!*[P=F17$$ !33+++++++wFf[l$\"31+++yqv\"y\"F17$$!3!**************R(Ff[l$\"3(****** z>)4H(Ff[l$\"3!******pbQ$z;F17$$!3a************ **pFf[l$\"35+++?iJK;F17$$!3[+++++++oFf[l$\"3++++G.)ye\"F17$$!3I+++++++ mFf[l$\"33+++:.*ea\"F17$$!39+++++++kFf[l$\"3-+++z^@1:F17$$!3%********* *****>'Ff[l$\"3-+++u5O@\"F17$$!3%)*************>%Ff[l$\"3'*******G^\"H >\"F17$$!3A+++++++SFf[l$\"3%******4(3^t6F17$$!3-+++++++QFf[l$\"3%***** *\\:Y`:\"F17$$!3')*************f$Ff[l$\"3.+++VHPQ6F17$$!3C+++++++MFf[l $\"3)******RwYD7\"F17$$!31+++++++KFf[l$\"35+++9l#y5\"F17$$!3))******** ******HFf[l$\"3%******RGuT4\"F17$$!3E+++++++GFf[l$\"3))*****R>b:3\"F17 $$!33+++++++EFf[l$\"3++++[s$*p5F17$$!3!**************R#Ff[l$\"3/+++%> \"Hf5F17$$!3-+++++++AFf[l$\"3/+++3/f\\5F17$$!35+++++++?Ff[l$\"35+++u2 \"3/\"F17$$!3#**************z\"Ff[l$\"31+++&fIH.\"F17$$!3-+++++++;Ff[l $\"3.+++%\\If-\"F17$$!39+++++++9Ff[l$\"3'******4M$z>5F17$$F^xFf[l$\"3, +++zT]95F17$$!3/+++++++5Ff[l$\"3%******p;]+,\"F17$$!3=+++++++!)!#>$\"3 $******R_?k+\"F17$$!3y**************fFgil$\"3'******z[1O+\"F17$$!35+++ ++++SFgil$\"3!******4G,;+\"F17$$!3/+++++++?Fgil$\"3\"*******z+S+5F17$$ F*F*$\"\"\"F*7$$\"3/+++++++?FgilFgjl7$$\"35+++++++SFgilFbjl7$$\"3y**** **********fFgilF]jl7$$\"3=+++++++!)FgilFhil7$$\"3/+++++++5Ff[lFbil7$$ \"3%**************>\"Ff[lF]il7$$\"39+++++++9Ff[lFihl7$$\"3-+++++++;Ff[ lFdhl7$$\"3#**************z\"Ff[lF_hl7$$\"35+++++++?Ff[lFjgl7$$\"3-+++ ++++AFf[lFegl7$$\"3!**************R#Ff[lF`gl7$$\"33+++++++EFf[lF[gl7$$ \"3E+++++++GFf[lFffl7$$\"3))**************HFf[lFafl7$$\"31+++++++KFf[l F\\fl7$$\"3C+++++++MFf[lFgel7$$\"3')*************f$Ff[lFbel7$$\"3-++++ +++QFf[lF]el7$$\"3A+++++++SFf[lFhdl7$$\"3%)*************>%Ff[lFcdl7$$ \"3-+++++++WFf[lF^dl7$$\"3=+++++++YFf[lFicl7$$\"3#)*************z%Ff[l Fdcl7$$\"3++++++++]Ff[lF_cl7$$\"3;+++++++_Ff[lFjbl7$$\"3M+++++++aFf[lF ebl7$$\"3a+++++++cFf[lF`bl7$$\"3g*************z&Ff[lF[bl7$$\"3w******* *******fFf[lFfal7$$\"3%**************>'Ff[lFaal7$$\"39+++++++kFf[lF\\a l7$$\"3I+++++++mFf[lFg`l7$$\"3[+++++++oFf[lFb`l7$$\"3a**************pF f[lF]`l7$$\"3u*************>(Ff[lFh_l7$$\"3!**************R(Ff[lFc_l7$ $\"33+++++++wFf[lF^_l7$$\"3E+++++++yFf[lFi^l7$$\"3U+++++++!)Ff[lFd^l7$ $\"3]*************>)Ff[lF_^l7$$\"3o*************R)Ff[lFj]l7$$\"3')**** *********f)Ff[lFe]l7$$\"3-+++++++))Ff[lF`]l7$$\"3A+++++++!*Ff[lF[]l7$$ \"3S+++++++#*Ff[lFf\\l7$$\"3Y*************R*Ff[lFa\\l7$$\"3k********** ***f*Ff[lF\\\\l7$$\"3#)*************z*Ff[lFg[l7$F[[mFa[l7$$\"3-++++++? 5F1F\\[l7$$\"3/++++++S5F1Fgz7$$\"31++++++g5F1Fbz7$$\"33++++++!3\"F1F]z 7$$\"33+++++++6F1Fhy7$$\"36++++++?6F1Fcy7$$\"3!*************R6F1F^y7$$ \"3#*************f6F1Fix7$$\"3%*************z6F1Fdx7$$F^\\mF1F_x7$$\"3 (*************>7F1Fjw7$$\"3**************R7F1Few7$$\"3-++++++g7F1F`w7$ $\"3-++++++!G\"F1F[w7$$\"3/+++++++8F1Ffv7$$\"31++++++?8F1Fav7$$\"33+++ +++S8F1F\\v7$$\"35++++++g8F1Fgu7$$\"3))************z8F1Fbu7$$\"3!***** *********R\"F1F]u7$$\"3$*************>9F1Fht7$$\"3%*************R9F1Fc t7$$\"3'*************f9F1F^t7$$\"3)*************z9F1Fis7$$\"3++++++++: F1Fds7$$\"3-++++++?:F1F_s7$$\"3/++++++S:F1Fjr7$$\"31++++++g:F1Fer7$$\" 33++++++!e\"F1F`r7$$\"33+++++++;F1F[r7$$\"36++++++?;F1Ffq7$$\"3!****** *******R;F1Faq7$$\"3#*************f;F1F\\q7$$\"3%*************z;F1Fgp7 $$\"3%**************p\"F1Fbp7$$\"3(*************>>F1FA 7$$\"3%*************R>F1F<7$$\"3'*************f>F1F77$$\"3)*********** **z>F1F27$$\"\"#F*F+-%'COLOURG6&%$RGBG$\"#5F`[lFjjlFjjl-%+AXESLABELSG6 $Q!6\"F_^n-%%VIEWG6$%(DEFAULTGFd^n" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "with(plots): f:=x->(0.5*x^3-1.5*x+1)/(x^2+3*x+2): a:= x->0.5*x-1.5:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 252 "graph_f:= plot(f(x),x=-5..5,y=-5..5,discont=true,color=blue): graph_a:=plot(a(x) ,x=-5..5,y=-5..5,color=red):\ntext:=textplot([-2,-2.6,`asymptote`],ali gn=\{ABOVE,LEFT\}):\ndisplay(\{text,graph_f,graph_a\},title=`asymptote oblique \nd'une fonction rationnelle`);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6(-%'CURVESG6%7gn7$$!\"&\"\"!$!3+++ +++++X!#<7$$!3)\\I^NQ6G\"\\F-$!3MkbE?ranWF-7$$!3E%HuX.\\p$[F-$!3ZsRWF-7$$!3))[U&*))Qj^ZF-$!3Z;_p.!=*3WF-7$$!39]*o\">KvlYF-$!3oq5ltqYyV F-7$$!3ukf@D2G!e%F-$!391Htwdv[VF-7$$!3aT23#yO5]%F-$!3y-A0Uxx@VF-7$$!3P RD&*oU)*=WF-$!3WG?R!>hWH%F-7$$!3y>!)\\Ua7MVF-$!3q5HZv,#pE%F-7$$!3M`hPf (Q&\\UF-$!3ii=(HMT-C%F-7$$!3'*Q.we4`iTF-$!35vHvb.n8UF-7$$!3I(f=1W%*e3% F-$!3!=I([Hv0\">%F-7$$!3=]4]s)>'**RF-$!3qR&*R'3hl;%F-7$$!3BAvr_5*H\"RF -$!3?=;zY]2VTF-7$$!3rHi#H83&HQF-$!3fIR&))p!f@TF-7$$!3Y*3\\Rk(p`PF-$!3I T1/t\\9.TF-7$$!3?(y2+k^Nm$F-$!3o/J&e%Hl#3%F-7$$!3Y,()>]h=(e$F-$!3w.Lm+ PjmSF-7$$!3!H6a7$\\N)\\$F-$!3u\")RDMUq\\SF-7$$!3ubth]Us>MF-$!3(=H,te-k .%F-7$$!3%\\Om;$RXLLF-$!3ixr$Q_DQ-%F-7$$!3iR<(o=/8D$F-$!3ac<[Yg-9SF-7$ $!3i#p_ia*elJF-$!3OYR)f\"3L1SF-7$$!3iu%\\*[n(o3$F-$!3hfT)4M3=+%F-7$$!3 H(RGLOu>+$F-$!3$4bmN(4++SF-7$$!3Wr)[gk%y8HF-$!3%**zLj)>%>+%F-7$$!3zhu! zB:q$GF-$!3\\T!ec@Is+%F-7$$!3yx![R<-Tv#F-$!3M)HxT_Ns,%F-7$$!3s())Ge'[W oEF-$!3yfC/%\\VH.%F-7$$!3K&QQ5!fk%e#F-$!3%H[$=nXVaSF-7$$!3T%3TP4mN]#F- $!3=^;CPS&>3%F-7$$!3(z9m9zSNT#F-$!3e2m@\\ql@TF-7$$!3NW]L`!\\EL#F-$!3[3 _%pt%4nTF-7$$!3K+V)o&)ziC#F-$!3STWaDf\"zA%F-7$$!3!>H8z_;!o@F-$!3_b]#4! GJ'H%F-7$$!3okQHPSX#3#F-$!3Y$RNt_!)))Q%F-7$$!3$4!=m,k%>+#F-$!3Efvufz3( \\%F-7$$!3!y^0_s#z<>F-$!3`$frtiP!QYF-7$$!3jtydCr^N=F-$!3[\">)*=o&[6[F- 7$$!3_Wli&>#Q\\1#piF-7$$!3N V'\\*oC9?9F-$!3#*))p!*\\7OqpF-7$$!3(p#y$3yN:L\"F-$!3[!e.fE*H)>)F-7$$!3 1@Eq-\\G_7F-$!3A:MCx(o`+\"!#;7$$!3EK03Ppyn6F-$!3_Un8asP+9Fiy7$$!3_E;op #\\t7\"F-$!3;o2]Q:&ox\"Fiy7$$!3w?FG-;\"p3\"F-$!3^$y/QJMb]#Fiy7$$!3YS?@ /P=l5F-$!3OwVX72^rKFiy7$$!3Ng891eXV5F-$!3_/:9G(\\X![Fiy7$$!3U?g5d=fK5F -$!3Goh#fqJ\"QjFiy7$$!3E!oq!3zs@5F-$!3[F`)G:QeS*Fiy7$$!3=5IbLfH;5F-$!3 _:brD:QZ7!#:7$$!35S`.fR'3,\"F-$!3#=RV05F-$!3:Q[FzF#>q$Fb\\l7$$!3([$)es*fr-5F-$!3Y '>hBE\"z$Q(Fb\\l7$$!3%*******4+++5F-$!3:U\\:7+++?!\"*7gn7$$!2%******** )*******F-$\"3#G5PL#******>F\\^l7$$!3a:c+O-8f**!#=$\"3u>nAbOht[Fb\\l7$ $!3oK7,s0E=**Ff^l$\"3<$o'Ht/%oU#Fb\\l7$$!3s[o,34Rx)*Ff^l$\"34g7Z0ya(*Ff^l$\"3#Q- m5UJs&zFiy7$$!3!*G\\/)eUIn*Ff^l$\"31sLn3%R'=fFiy7$$!3.$Rn?$Rc4&*Ff^l$ \"3)Q!* Ff^l$\"3A6+Z;j!R%=Fiy7$$!3%[rz@lq@p)Ff^l$\"35aR$Hl!zN8Fiy7$$!3&[*zPMI? B\")Ff^l$\"3/>44lNH]()F-7$$!3utid;aBavFf^l$\"3CW^-\\,p*H'F-7$$!3o_\"47 B3XF'Ff^l$\"3UUyzuLpaNF-7$$!3EphN$=)H')\\Ff^l$\"3Y[2z$f`(RAF-7$$!3&=)H *Hx5Uq$Ff^l$\"3'4Xod)e^\"\\\"F-7$$!3e!3u\\i^b^#Ff^l$\"3#*H\\_T+VY5F-7$ $!3)HRDq#Rw%G\"Ff^l$\"3$R/*G@]$fI(Ff^l7$$!3cCjo9H:)=\"!#?$\"3FdOXh0&y, &Ff^l7$$\"3%yYQ(=(=pD\"Ff^l$\"3)H>@Id5`R$Ff^l7$$\"3gvK1Hd.iDFf^l$\"3x' pKYE/??#Ff^l7$$\"3)3OZ@]$e6PFf^l$\"3[Q!fn4**>W\"Ff^l7$$\"3@)\\!*\\--d+ &Ff^l$\"3HJ!)R^!y6J)!#>7$$\"3#exCGKM^I'Ff^l$\"3Q(o9VJ@k=%Fcel7$$\"3W/x t?\"ytb(Ff^l$\"3EWpr5_6*p\"Fcel7$$\"3]TCMca`%p)Ff^l$\"3)*\\b$o?<\"eXF \\dl7$$\"3\")y)e;bsY+\"F-$\"3_+]X[EYXa!#B7$$\"3IlzY'y?#>6F-$\"3E%*>Rzd \\`LF\\dl7$$\"3K()e*\\hnCD\"F-$\"3`JOo6/*[T\"Fcel7$$\"3A5$\\gj8/P\"F-$ \"3UUCJe<9%*GFcel7$$\"3/NOe9\">)*\\\"F-$\"3wrdM\"[Wn*\\Fcel7$$\"3og#y= tVIi\"F-$\"3E^)=Fq&[*R(Fcel7$$\"3!R(R\"Hp:;v\"F-$\"3t[9QR``E5Ff^l7$$\" 3w\">n*))[op=F-$\"3m9mGk2$yJ\"Ff^l7$$\"3_N\\]n%Qq*>F-$\"3#piH2pY%e;Ff^ l7$$\"3BhW`VIKH@F-$\"3EzPUbQxP?Ff^l7$$\"3#y`Ue:xWC#F-$\"3'GgS/>2nQ#Ff^ l7$$\"3Sb_)=vY)oBF-$\"3Q%onhZ$)4y#Ff^l7$$\"3o66<9FL(\\#F-$\"3\"3%HsetI 0KFf^l7$$\"3U9;Yh6.BEF-$\"3*f]&f#Q&RNOFf^l7$$\"3$\\\"*3D(3lWFF-$\"3CfW <6i?kSFf^l7$$\"3y^Q.E))ozGF-$\"3k:R%zt'\\`XFf^l7$$\"3n@;LLk-,IF-$\"3=* H[TX\\Q+&Ff^l7$$\"3\")*p:\"G-eIJF-$\"33FK4/f$[\\&Ff^l7$$\"3#3/q;AvzC$F -$\"3?i4+*\\,![fFf^l7$$\"3ANhqd*=jP$F-$\"33`d5*fX;X'Ff^l7$$\"3Cl[D6/3( \\$F-$\"3i7%4s\">tKpFf^l7$$\"3-#[Wg#4JBOF-$\"3GF[:(zeCW(Ff^l7$$\"3+#z) 3FVsYPF-$\"3_`-f)f`q%zFf^l7$$\"3)[XB1sEf(QF-$\"3#)*)GnqzT\"[)Ff^l7$$\" 3bggm\")RO+SF-$\"3wNJ>W(G:+*Ff^l7$$\"3nnR&R0>w7%F-$\"39T8=I5aQ&*Ff^l7$ $\"35LO***Q?QD%F-$\"3GPO-hbe25F-7$$\"3_c.06jypVF-$\"3q%G@_XZt0\"F-7$$ \"3RR)GLM'p-XF-$\"3q)z??N1[6\"F-7$$\"3P72jgEd@YF-$\"3W:1lf'el;\"F-7$$ \"3Gn%p\"4'>$[ZF-$\"3GWpgqv3A7F-7$$\"3wysY6Ejp[F-$\"3e(*)\\T8`bF\"F-7$ $\"\"&F*$\"3ELLLLLLL8F--%'COLOURG6&%$RGBG$F*F*F]am$\"*++++\"!\")-%%TEX TG6&7$$!\"#F*$!#E!\"\"Q*asymptote6\"%*ALIGNLEFTG%+ALIGNABOVEG-F$6$7S7$ F($!\"%F*7$$!3YLLLe%G?y%F-$!3smm;HU,\"*QF-7$$!3OmmT&esBf%F-$!3=L$3FH'= 'z$F-7$$!3ALL$3s%3zVF-$!3gmmTgBa*o$F-7$$!3_LL$e/$QkTF-$!3wmm\"H_\">#e$ F-7$$!3ommT5=q]RF-$!3ML$3_!4NvMF-7$$!3ILL3_>f_PF-$!3'omTg(fHwLF-7$$!3K ++vo1YZNF-$!3;+]PM.ttKF-7$$!3;LL3-OJNLF-$!3!omT5!olnJF-7$$!3p***\\P*o% Q7$F-$!3%)**\\(oWB>1$F-7$$!3Kmmm\"RFj!HF-$!3;LL$epjJ&HF-7$$!33LL$e4OZr #F-$!3Kmm\"z/ot&GF-7$$!3u*****\\n\\!*\\#F-$!35++]P[_\\FF-7$$!3%)***** \\ixCG#F-$!39++]7)Q7k#F-7$$!3#******\\KqP2#F-$!3'*****\\i^)o`#F-7$$!39 LL3-TC%)=F-$!3Nm;/^?7UCF-7$$!3[mmm\"4z)e;F-$!3-LL$eaR%HBF-7$$!3Mmmmm`' zY\"F-$!3F-7$$!3)f* **\\iXg#G'Ff^l$!3!)**\\7G-89=F-7$$!3ndmmT&Q(RTFf^l$!3)GL$3Fp)pq\"F-7$$ !3%\\mmTg=><#Ff^l$!3DL$3-$ff3;F-7$$!3vDMLLe*e$\\F\\dl$!3rmm\"z%zY-:F-7 $$\"3!=nm\"zRQb@Ff^l$!3Sm;/,3B#R\"F-7$$\"3_,+](=>Y2%Ff^l$!3#***\\iS!pi H\"F-7$$\"3summ\"zXu9'Ff^l$!3EmmT5xi#>\"F-7$$\"3#4+++]y))G)Ff^l$!3'*** ***\\2cb3\"F-7$$\"3H++]i_QQ5F-$!3`)***\\(ot!3)*Ff^l7$$\"3b++D\"y%3T7F- $!3E(**\\P4wXz)Ff^l7$$\"3+++]P![hY\"F-$!3+++]7)f#pwFf^l7$$\"3iKLL$Qx$o ;F-$!3%oLLL38\"emFf^l7$$\"3Y+++v.I%)=F-$!3k(****\\7)\\ybFf^l7$$\"3?mm \"zpe*z?F-$!3&*omT5l?+YFf^l7$$\"3;,++D\\'QH#F-$!3=%****\\Pv1`$Ff^l7$$ \"3%HL$e9S8&\\#F-$!3ENL3F*HV_#Ff^l7$$\"3s++D1#=bq#F-$!3Q'**\\(o*3CZ\"F f^l7$$\"3\"HLL$3s?6HF-$!3jaLL$eR'RWFcel7$$\"3a***\\7`Wl7$F-$\"3%o(**\\ ilAFjFcel7$$\"3enmmm*RRL$F-$\"3%zLLL$)*pp;Ff^l7$$\"3%zmmTvJga$F-$\"3pR L$3xe,t#Ff^l7$$\"3]MLe9tOcPF-$\"3_sm\"HdO=y$Ff^l7$$\"31,++]Qk\\RF-$\"3 M0++]#>#[ZFf^l7$$\"3![LL3dg6<%F-$\"3-um;aG!e&eFf^l7$$\"3%ymmmw(GpVF-$ \"3CRLLL)Qk%oFf^l7$$\"3C++D\"oK0e%F-$\"3>,+D1Mm-zFf^l7$$\"35,+v=5s#y%F -$\"3a0+v$40O\"*)Ff^l7$Fe`m$\"\"\"F*-Fj`m6&F\\amF^amF]amF]am-%&TITLEG6 #%Nasymptote~oblique~|+d'une~fonction~rationnelleG-%+AXESLABELSG6%Q\"x F[bmQ\"yF[bm-%%FONTG6#%(DEFAULTG-%%VIEWG6$;F(Fe`mFdbn" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3 " }}}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 284 "On voit que, outre des co mmandes graphiques (couleurs, ...), graph_f contient une liste de poin ts du graphe de f qui ressemble aux listes E et E1 que nous avons cons truit dans l'exemple pr\351c\351dent. La commande display, comme son n om l'indique, affiche ce qui est indiqu\351 dans graph_f ." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 285 10 "Exercice 2" }{TEXT 286 3 " : " }{TEXT -1 196 "Tracez une hyperbole avec une asymptote horizontale et une asy mptote oblique. Puis effectuez une animation en faisant varier la pent e choisie pour l'asymptote, et obtenir une famille d'hyperboles." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "?animate;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "animate((t*0.5*x^3-1.5*x+1)/(x^2+3*x+2),x=- 5..5,t=1..4,frames=100,view=[-5..5,-5..5]);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%(ANIMATEG6`q7#-%'CURVESG6$7S7$$ !\"&\"\"!$!3++++++++X!#<7$$!+nmm\"z%!\"*$!3Ihe!3'eIBWF17$$!+LLL$e%F5$! 3+)Q]:?1)\\VF17$$!++++vVF5$!3M%f#f#f#4!G%F17$$!+nmmmTF5$!3Ga%F17$$!+LLL$3#F5$!37-0#G^?yQ%F17$$! ++++v=F5$!3e$H9dG9Ks%F17$$!+nmmm;F5$!3:CLLLLLL`F17$$!+LLLe9F5$!3]?IIII !Gf'F17$$!++++]7F5$!3++++++]75!#;7$$!+nmmT5F5$!3tdLLLL3-]Fgq7$$!*LLLL) F5$\"3LKLLLLL35Fgq7$$!*+++D'F5$\"3[LLLLL$3_$F17$$!*nmm;%F5$\"3M&4Q_4Q- s\"F17$$!*LLL3#F5$\"3_v,2G7\\@#*!#=7$$F.F.$\"3W**************\\Fas7$$ \"*LLL3#F5$\"3a+xf/3R$f#Fas7$$\"*nmm;%F5$\"3Oio:#R!)4?\"Fas7$$\"*+++D' F5$\"30uI#p2BpK%!#>7$$\"*LLLL)F5$\"3'oddddddd(!#?7$$\"+nmmT5F5$\"3/uAF !o+Fas7$$\"+nmm\"H#F5$\"3#)R>U+FGMDFas7$$\"+++++ DF5$\"3_9dG9dG9KFas7$$\"+LLL3FF5$\"3%)eHj$4D\\$RFas7$$\"+nmm;HF5$\"3AR n07jr*o%Fas7$$\"++++DJF5$\"3s\\[[[[[taFas7$$\"+LLLLLF5$\"3O'G^?G^?G'Fa s7$$\"+nmmTNF5$\"3PyR5eI+7rFas7$$\"++++]PF5$\"3ov%*y:j_gzFas7$$\"+LLLe RF5$\"3*4#[/7,GD))Fas7$$\"+nmmmTF5$\"3\">#)o_2,Vq*Fas7$$\"++++vVF5$\"3 S9eDBIff5F17$$\"+LLL$e%F5$\"3[Z0*=iv)\\6F17$$\"+nmm\"z%F5$\"3-G0Muq:T7 F17$$\"*++++&!\")$\"3ELLLLLLL8F1-%'COLOURG6&%$RGBG$\"*++++\"F_[lFcsFcs 7#-F(6$7S7$F,$!3)GGGGGGyl%F17$F3$!3[w_mzYy!e%F17$F9$!3JASv#o(R2XF17$F> $!3))*HoUF 17$FR$!35?Bhnv\\HUF17$FW$!3!eq%=/Z=/UF17$Ffn$!3o*=eQ[$4(>%F17$F[o$!3a< \"oaK%y:UF17$F`o$!3yb^-)3UOF%F17$Feo$!3y)*)*)*)*)*)*)R%F17$Fjo$!3_=,43 9DyYF17$F_p$!3=R,Sb,S0fF17$Fdp$!3fX\\1N\\15QF17$Fip$!3Tennnnn<]F17$F^q $!33LwLg%>NS'F17$Fcq$!3-=<<<<f\\Fgq7$F^r$\"3m_R #Q&R#Q+\"Fgq7$Fcr$\"3S-vZ?$fO^$F17$Fhr$\"3RP)>kT^!>k8> k8WFet7$Fgt$\"3%*))*e1ggPE*F[u7$F]u$\"3kHD_;I'G=$F[u7$Fcu$\"3-$zwNzwNz \"Fet7$Fhu$\"37%))31FO`#[Fet7$F]v$\"3yHk\"*=Yt]!*Fet7$Fbv$\"3fXb]X<<@9 Fas7$Fgv$\"3TRfDE-(>,#Fas7$F\\w$\"39 $!3+gLmI@n'f%F17$FC$!3;_6xJFSMXF17$FH$!3[_TH'zWF17$FM$!3zj(*fOqKMWF 17$FR$!3ro'*)fbw7S%F17$FW$!3)p))fX))fXQ%F17$Ffn$!3)Q9Gr\\50R%F17$F[o$! 3UQLtcqvHWF17$F`o$!3.tl1-eQAXF17$Feo$!3kjkkkkk9ZF17$Fjo$!315F2'Q#Gi^F1 7$F_p$!3\"pyzzzzHU(F17$Fdp$!3q#f:We:p*GF17$Fip$!3L&>?????q%F17$F^q$!3m XAP!*eB9iF17$Fcq$!3DMMMMMM4)*F17$Fiq$!3@7em#42j\"\\Fgq7$F^r$\"3yJd9Vd9 $***F17$Fcr$\"3Kr;i2`[1NF17$Fhr$\"3Vz:gPZ'yr\"F17$F]s$\"3#*Fa sFbs7$Fgs$\"3IrC&Rm#Fet7$ Fhu$\"3Gs7;rO2y`Fet7$F]v$\"3'3`*\\/f8o(*Fet7$Fbv$\"3Vd1)=v@3^\"Fas7$Fg v$\"31F(e$*H(y?@Fas7$F\\w$\"3W%*G1=%[Cz#Fas7$Faw$\"3l95\"\\,6\\^$Fas7$ Ffw$\"3Gd'=_c3(zUFas7$F[x$\"39n2^.1;!3&Fas7$F`x$\"3AIswcY#4\"fFas7$Fex $\"3SsnnnnnnnFas7$Fjx$\"3e.3D$[zok(Fas7$F_y$\"3?%y@zc5ca)Fas7$Fdy$\"3# pDH7F17$Fhz$\"3O>@s#>7fK\"F17$F][l$\"3TB4_B4_B9F1Fb[l7#-F(6$7S7$F,$!3 uZ[[[[[t\\F17$F3$!3q2TQ$!3%Gu)p**='\\v% F17$FC$!3a^eIdz9%p%F17$FH$!3M26[?E$=k%F17$FM$!3$>Gj7>a.g%F17$FR$!3MF17$Fip$!3YIOOOOO'Q%F17$F^q$!3NdoS?B&\\- 'F17$Fcq$!3G_^^^^^^'*F17$Fiq$!3!)R?Ls*=M([Fgq7$F^r$\"3%p$>0[>0[**F17$F cr$\"3!)Rew%H6$*\\$F17$Fhr$\"3\">K$ye!ymr\"F17$F]s$\"3]z!zR_$f=#*FasFb s7$Fgs$\"3'p&)HO4J\\f#Fas7$F\\t$\"3%Ga)HZXe57Fas7$Fat$\"3U%ezqezqe%Fet 7$Fgt$\"39\"=Y]mwRE\"Fet7$F]u$\"3G;J^8*[#)p)F[u7$Fcu$\"34,E&Hg_Hg#Fet7 $Fhu$\"3@jOrr5\"3$fFet7$F]v$\"3Yj#3!>Pb[5Fas7$Fbv$\"3rodDe%34cW'HhFas7$Fex$\"3u8& *[5&*[5qFas7$Fjx$\"3u;U#ep$>^z(*Fas7$Fiy$\"3#**Hmb\"3jt5F17$F^z$\"3'G$Q&=Ox1<\"F17$Fcz$\"3?*oy &4,%*o7F17$Fhz$\"3!\\\"H\">v*Go8F17$F][l$\"3[=Zh=Zho9F1Fb[l7#-F(6$7S7$ F,$!3hIJJJJJJ^F17$F3$!3wBNCO6A`]F17$F9$!3OC\\OE@$!3bETto;D8 \\F17$FC$!3%4bSG=$*Q&[F17$FH$!35)>Vd#e./[F17$FM$!33+o#fM\"QmZF17$FR$!3 %oOWF`M[u%F17$FW$!3qY-JX-JXZF17$Ffn$!3S^!oO_Wtx%F17$F[o$!3;!yj#>Dqd[F1 7$F`o$!3M4%\\,Bt)>]F17$Feo$!3C%ffffffM&F17$Fjo$!3Z!*y.UVMIhF17$F_p$!3= 2RJ3R\"e/\"Fgq7$Fdp$!31'*o6$)ohq5F17$Fip$!3ilqqqqqqSF17$F^q$!3$*p9W](o c$eF17$Fcq$!3Gqooooo$\\*F17$Fiq$!3Sn#)*>&3`I[Fgq7$F^r$\"33U\"eH:eH!**F 17$Fcr$\"3g4+\">GP@\\$F17$Fhr$\"3=k]'*z8\\:Q:EiFw@*FasFb s7$Fgs$\"31UsIBXW&f#Fas7$F\\t$\"3ipdMKfy87Fas7$Fat$\"3_?%)zB%)ztYFet7$ Fgt$\"3^Cj`npxK9Fet7$F]u$\"3%*R3?'=%fX6Fet7$Fcu$\"3&\\]Sw]Sw+$Fet7$Fhu $\"3O^gEs%[N['Fet7$F]v$\"3*Rdmv%QH?6Fas7$Fbv$\"3)*z3jk<7!p\"Fas7$Fgv$ \"3a,VcX9UQBFas7$F\\w$\"3)z%QqNTh]IFas7$Faw$\"3y9j`:j`:QFas7$Ffw$\"3Gc V!o.#\\CYFas7$F[x$\"3_%zk\\*[gqaFas7$F`x$\"3g4'\\]Yk$[jFas7$Fex$\"3?cA I`AI`sFas7$Fjx$\"3!*HwR3fv\"=)Fas7$F_y$\"3R*3a+#[pI\"*Fas7$Fdy$\"3&H&4 _?*e(45F17$Fiy$\"3:R%z:0J!36F17$F^z$\"3!)Q)>ZZ0x?\"F17$Fcz$\"3(GST@FG' 38F17$Fhz$\"3p5P56tm59F17$F][l$\"3M8&3P^3P^\"F1Fb[l7#-F(6$7S7$F,$!3g79 9999*G&F17$F3$!3#)RH5b**p5_F17$F9$!3xd&ovgjx8&F17$F>$!3Q4&pxVT:2&F17$F C$!3V\\_P3%QO,&F17$FH$!3'zG05.Ri'\\F17$FM$!3K<.f+&3C$\\F17$FR$!3Y:<7@N h;\\F17$FW$!3+FaoDaoD\\F17$Ffn$!3g0!Qp`h2(\\F17$F[o$!3#>+H0Dv;2&F17$F` o$!3QG3>Wpho_F17$Feo$!35fhhhhhhcF17$Fjo$!3,#[?+KvVh'F17$F_p$!3)3(=ds=d (>\"Fgq7$Fdp$!31wanC`nu:Fas7$Fip$!33-00000bPF17$F^q$!3_#3w/=&QYcF17$Fc q$!3_'eeeeeeL*F17$Fiq$!3G%\\k;tUwy%Fgq7$F^r$\"3AZV'yNky&)*F17$Fcr$\"33 yT0pK'\\[$F17$Fhr$\"3A1o9,ZI9\"Fas7$Fbv$\"3E\"*f+rpV3nlFas7$Fex$\"3w**\\6'* \\6'\\(Fas7$Fjx$\"3%>/r47%>\\%)Fas7$F_y$\"3VT-7YpBB%*Fas7$Fdy$\"3pq+&y km:/\"F17$Fiy$\"3s()3b`H&F17$F>$!3A#*[!o?J)H_F17 $FC$!3#)[*4Rj$Qt^F17$FH$!3sytEOAWG^F17$FM$!3CPQDbcV)4&F17$FR$!33k!*\\4 DR)3&F17$FW$!3I2111111^F17$Ffn$!3yfz?]&yT;&F17$F[o$!3!GA%z\")zk&G&F17$ F`o$!3kXABe1Oc#*yxMF17$Fhr$\"3[[&GB-=Jr\"F17$F]s$\"3f%)z))>ep:#*FasFbs7$Fg s$\"3#G,iEQrkf#Fas7$F\\t$\"3=B-W-()=?7Fas7$Fat$\"3q#4Os4Os%[Fet7$Fgt$ \"3%)3m^svPq$o/Txj7Fas7$Fbv$\"35.6QxLtU!ey'Fas7$Fex$\"3AUx#*Qx#* QxFas7$Fjx$\"35bWaLBj;()Fas7$F_y$\"3!oR'=s!zdr*Fas7$Fdy$\"3W)=z^PuL2\" F17$Fiy$\"3S$!3/v-%e(47)Q&F17$F C$!3?[YWf)GJL&F17$FH$!3eo%H:WX1H&F17$FM$!3]at\"*4GYk_F17$FR$!3e8k(y\\r ,E&F17$FW$!3g(yNkyNkG&F17$Ffn$!3)R\"zZjbfd`F17$F[o$!3mV%fIr?'*\\&F17$F `o$!3!QmtAP/hw&F17$Feo$!3[\"HHHHHHH'F17$Fjo$!3Uic)fFPCe(F17$F_p$!3O*z( 3,y3,:Fgq7$Fdp$\"3A`6$)o6$)o;F17$Fip$!3[rtttttBJF17$F^q$!3y1`aS!=yE&F1 7$Fcq$!3y???????!*F17$Fiq$!3w[p*4\\m=q%Fgq7$F^r$\"3_dnnnnnn(*F17$Fcr$ \"3#f^ULC:1Z$F17$Fhr$\"3v!H5NMJ>r\"F17$F]s$\"3-(GC&=*HZ@*FasFbs7$Fgs$ \"3[)RRB\"[)pf#Fas7$F\\t$\"35]u[(3!RB7Fas7$Fat$\"3)3$\\&R$\\&R$\\Fet7$ Fgt$\"3'*\\n+vyFet7$F]u$\"3))G%\\22-H(>Fet7$Fcu$\"3+?Uq@Uq@UFet7$Fh u$\"3!z@BRng<9)Fet7$F]v$\"3([]TKB9bL\"Fas7$Fbv$\"3m9iv$yr!f>Fas7$Fgv$ \"3%Gms[ms[m#Fas7$F\\w$\"3$)y_;7F'yV$Fas7$Faw$\"33mUZmUZmUFas7$Ffw$\"3 x/H=WsmT^Fas7$F[x$\"3CPe9K8FcgFas7$F`x$\"3CzJZxT_/qFas7$Fex$\"3y&[S<[S <)zFas7$Fjx$\"3Eoy6Y02%)*)Fas7$F_y$\"3+b_#)>@$3+\"F17$Fdy$\"3&fI3D5#=0 6F17$Fiy$\"3(o&)='f$!3)ylv[u5ka&F17$F C$!3#eMz\\3uG\\&F17$FH$!3Mf:zY'[GX&F17$FM$!3js3ek**[IaF17$FR$!3JhPD'[] >V&F17$FW$!3-n4\"o'4\"oY&F17$Ffn$!3'*pyuwD,^bF17$F[o$!3VlYKWMf8dF17$F` o$!3%>3:j3[[,'F17$Feo$!3Bdeeeee3mF17$Fjo$!3%[DoRDok1)F17$F_p$!3'RwX`wX Gl\"Fgq7$Fdp$\"3)e]![>0)>e#F17$Fip$!3S3333333GF17$F^q$!3O>*z0ZM&y]F17$ Fcq$!3yQPPPPPi))F17$Fiq$!3OwJmq$y*eYFgq7$F^r$\"3niHesHeA(*F17$Fcr$\"3I &o'[I7WjMF17$Fhr$\"3BL?pkYu5j&*>jX7F17$F^z$\"3UjQ=Ez\"eN\"F17$Fcz$\"3EeARA4Qn9F17$Fhz $\"3e$*o'yax,e\"F17$F][l$\"3%Qp$3%p$3%p\"F1Fb[l7#-F(6$7S7$F,$!33WXXXXX ?fF17$F3$!3;.1aI_hSeF17$F9$!3+&4$QK&H\"odF17$F>$!3sS5\"R^+Zq&F17$FC$!3 ?XS^5$>El&F17$FH$!34]O0_=0:cF17$FM$!3m\"RW#>r^'f&F17$FR$!3#36JYZHPg&F1 7$FW$!3KZh=Zh=ZcF17$Ffn$!3;Cy,!fHWu&F17$F[o$!3T&))*evhcFfF17$F`o$!35+l N+=fjiF17$Feo$!34ACCCCCCpF17$Fjo$!3QY3&>B*\\]&)F17$F_p$!3mFPgHPg/=Fgq7 $Fdp$\"3Ka)H,()H^\\$F17$Fip$!35VUUUUU#\\#F17$F^q$!3%>`91!4D*)[F17$Fcq$ !3.baaaaa/()F17$Fiq$!3B.%H.D!4;YFgq7$F^r$\"3!y;*[x\"*[x'*F17$Fcr$\"3?a 3jedGzH7Fas7$Fat$\"31.ER2ER2^Fet7$Fgt$\"3kMq)*z%y nF#Fet7$F]u$\"3f([[/mSW_#Fet7$Fcu$\"3TG+3J+3J]Fet7$Fhu$\"3?%*z-vaBZ#*F et7$F]v$\"3OD\"e.\\%**y9Fas7$Fbv$\"3xPk]'zr$Q@Fas7$Fgv$\"3eP#y5\"o]#)G Fas7$F\\w$\"3!HB1)H%Ggp$Fas7$Faw$\"3Am&*4n&*4nXFas7$Ffw$\"3k-'odr]k[&F as7$F[x$\"3gk)*fBcrYkFas7$F`x$\"3%3cbd)R'>W(Fas7$Fex$\"3epfOnfOn%)Fas7 $Fjx$\"3Z$pk7(p%*=&*Fas7$F_y$\"3%e[Q]aS$f5F17$Fdy$\"3UTl;dvzo6F17$Fiy$ \"39N^kJA.!G\"F17$F^z$\"3ep)\\!Rg%GR\"F17$Fcz$\"3%>(\\&\\3pq]\"F17$Fhz $\"3N*odq5bDi\"F17$F][l$\"3%*)[x\"*[x\"R+S\\S4)*fF17$F9$!3UGne85sDfF17$F>$!3aBk%HG!*H'eF17$FC$!3 fW([g`kB\"eF17$FH$!3'*RdJd]DxdF17$FM$!3!)4z!RFWDw&F17$FR$!3ce%3IY3bx&F 17$FW$!3]G8cF8cFeF17$Ffn$!3OyxG.m%y$fF17$F[o$!3<2^&o!*Q:9'F17$F`o$!3O< zR9bL7lF17$Feo$!3&p)*)*)*)*)*)RsF17$Fjo$!39OM$*4-`M!*F17$F_p$!3W#phQph j&>Fgq7$Fdp$\"3J-#z2Az#3WF17$Fip$!3+!onnnnn<#F17$F^q$!3iV\"\\1Ln**p%F1 7$Fcq$!3/trrrrrY&)F17$Fiq$!3%3j&**H@?tXFgq7$F^r$\"3'HP&R#Q&RK'*F17$Fcr $\"3oA]x/K4\\MF17$Fhr$\"3KLW@K=@*FasFbs7$Fgs$\"3 !\\br85D&)f#Fas7$F\\t$\"3VI\"HEC%*HB\"Fas7$Fat$\"3CT96W96%>&Fet7$Fgt$ \"3%yk'Fas7$F`x$\"33^n*)*)QogwFas7$Fex$\"3:8(y ,ry,r)Fas7$Fjx$\"3_0\"QQ=&Q'y*Fas7$F_y$\"3;,^kdZf)3\"F17$Fdy$\"3&*ec\\ %G01?\"F17$Fiy$\"3Pu#ewYKWJ\"F17$F^z$\"3vve\">:u)H9F17$Fcz$\"3%eo$!3F2=)>0!G@ gF17$FC$!35VMeh(4@(fF17$FH$!3rIydi#e%RfF17$FM$!30F9dG9dGfF17$FR$!313eQ ^uGZfF17$FW$!3!)3l$z]Oz+'F17$Ffn$!3cKxb;OEJhF17$F[o$!3;F.7Q;^bjF17$F`o $!3SO$R%G#z5w'F17$Feo$!3q_bbbbbbvF17$Fjo$!3oFg\"z=h&=&*F17$F_p$!39c'> \"e'>\"3@Fgq7$Fdp$\"3v]&G9dG9K&F17$Fip$!3%\\666666'=F17$F^q$!3?cPogPo5 XF17$Fcq$!31\"*)))))))))))Q)F17$Fiq$!3Ue=m4SJIXFgq7$F^r$\"35y:I(e,te*F 17$Fcr$\"3/#>>>>>>W$F17$Fhr$\"3!)fsBGY=2O7Fas7$Fat$\"3Mx-$3GI3G&Fet7$Fg t$\"3&*=t'\\3zVh#Fet7$F]u$\"3IYv9]#zf2$Fet7$Fcu$\"38OeXSeXSeFet7$Fhu$ \"30xKhF5FN5Fas7$F]v$\"3&euuuuuCi\"Fas7$Fbv$\"3LgmD4=naRFas7$Faw$\"3Mm[sn[sn[Fas7$Ffw$\"3m,VN(=M 7$eFas7$F[x$\"3)>*Q0:*fr$oFas7$F`x$\"3ASz.%z.%zyFas7$Fex$\"3qc9*HX\"*H &*)Fas7$Fjx$\"3(=:T'RBQ05F17$F_y$\"3E;)=ykA!pY\"F17$Fcz$\"3_*R!35aW'e\"F17$ Fhz$\"3o!GRaA5tq\"F17$F][l$\"3')y]Oz]OH=F1Fb[l7#-F(6$7S7$F,$!3!=RRRRRR R'F17$F3$!3d\\)=ro^IJ'F17$F9$!30(*R*f(R!4C'F17$F>$!35!><5#)p&zhF17$FC$ !3[U\"=r)\\&=8'F17$FH$!3e?*RyYh;5'F17$FM$!3=X\\B$e)f%4'F17$FR$!3ncJwRk 1>hF17$FW$!33*o6$)o6$)='F17$Ffn$!3'eoF)H1oCjF17$F[o$!3#*[bQpV[plF17$F` o$!3m`2[UH#)4qF17$Feo$!3a<@@@@@ryF17$Fjo$!3uh)*e;#f-+\"Fgq7$F_p$!3#4ix Bix)fAFgq7$Fdp$\"3=**y2AzdMiF17$Fip$!3k\\XXXXXX:F17$F^q$!3!zO=2>+9K%F1 7$Fcq$!3I211111J#)F17$Fiq$!3K&3G$*)eU([%Fgq7$F^r$\"3[\"y2Az2Aa*F17$Fcr $\"3'4Oj!z^uMMF17$Fhr$\"32-!>%\\z*fq\"F17$F]s$\"3(ez0b*f#Fas7$F\\t$\"3T%eBF,(RR7Fas7$Fat$\"3W8\"\\v6\\vO&Fet7$Fg t$\"33guX(QzJy#Fet7$F]u$\"3=wq*\\a[/e >/e>*Fas7$Fjx$\"3H$\\)*3;E@.\"F17$F_y$\"3eJ$eG=.r9\"F17$Fdy$\"3W%*Q:R2 Ak7F17$Fiy$\"3%Gb%oRHB$Q\"F17$F^z$\"31))ykx.$R]\"F17$Fcz$\"3l8JksN8E;F 17$Fhz$\"3-w+j%y(o\\da\\)R'F17$F>$!3$Hd_+ffyL'F17$FC $!3'=%Gl7-g\"H'F17$FH$!3M6?5tY'QE'F17$FM$!3Ak%)*ytD1E'F17$FR$!3G009Ga% 3H'F17$FW$!3]ooooooojF17$Ffn$!31Sw4Vw4=lF17$F[o$!3oq2l+rX$y'F17$F`o$!3 qs@_cmcesF17$Feo$!3I$oooooo=)F17$Fjo$!3s?\")Q9Bm[5Fgq7$F_p$!3i%eNmeN;T #Fgq7$Fdp$\"3iZsssssZrF17$Fip$!3L')zzzzzH7F17$F^q$!3fzHv?m6KTF17$Fcq$! 3KDBBBBBt!)F17$Fiq$!3!HJ%**ox`WWFgq7$F^r$\"3i')R6(*R6(\\*F17$Fcr$\"3)) Hv?m6dFMF17$Fhr$\"3LW2gq7\"[q\"F17$F]s$\"3J)4U.^M*3#*FasFbs7$Fgs$\"3w5 PS!Rl+g#Fas7$F\\t$\"3>63x(R)fU7Fas7$Fat$\"3_\\zEazEaaFet7$Fgt$\"3?,w%* *oz>&HFet7$F]u$\"3R1m%)Ry^FOFet7$Fcu$\"3cW;$)\\;$)\\mFet7$Fhu$\"3CbPs2 &=e9\"Fas7$F]v$\"3Mm8f/]&fw\"Fas7$Fbv$\"3;$)o+A=(p\\#Fas7$Fgv$\"34(Q*[ .^x>F1Fb[l7#-F(6$7S7$F,$!3cdfffff4nF 17$F3$!3!3oP[K4!GmF17$F9$!3ml7SQp3clF17$F>$!3wbz3f$\\h\\'F17$FC$!3CTv= QaM^kF17$FH$!3?,TOyy1EkF17$FM$!3N#)>c#*GlEkF17$FR$!3#R&y^;WiikF17$FW$! 3!)[?1\\?1\\lF17$Ffn$!3E%fnjl9:r'F17$F[o$!3m!*f\">$)Hu*pF17$F`o$!3'**e j0P5t](F17$Feo$!3FZ_____-&)F17$Fjo$!31!Q'=7a1(4\"Fgq7$F_p$!3S\\N*3b$Rj DFgq7$Fdp$\"3%pfwLiw31)F17$Fip$!3\\7UTTTTT\"*Fas7$F^q$!3\\$f(y]I$G%RF1 7$Fcq$!3WUSSSSS:zF17$Fiq$!3\\S0m['\\;S%Fgq7$F^r$\"3y\">?????X*F17$Fcr$ \"3!))p^L:(R?MF17$Fhr$\"3Q'[#y\"fCOq\"F17$F]s$\"3k*Ry*3'oz?*FasFbs7$Fg s$\"3U'4\"3?)y0g#Fas7$F\\t$\"35Q!=Gy*zX7Fas7$Fat$\"3r(y')4z')4a&Fet7$F gt$\"3SWxV#**z27$Fet7$F]u$\"3ANhpMrG.RFet7$Fcu$\"35\\&>Xb>X0(Fet7$Fhu$ \"3%Q**yxC#4,7Fas7$F]v$\"3fw'\\J8&pP=Fas7$Fbv$\"3s%*>QG=i'e#Fas7$Fgv$ \"3uu@fw@fEMFas7$F\\w$\"3&yh3RsU9M%Fas7$Faw$\"3)f\"Gm=Gm=`Fas7$Ffw$\"3 /\\Gt%R4%[jFas7$F[x$\"3qM\\B_j#GU(Fas7$F`x$\"3&)4:Y1NcN&)Fas7$Fex$\"33 %oH9oH9o*Fas7$Fjx$\"3qvJT.Qh&3\"F17$F_y$\"3Ui:23;h07F17$Fdy$\"3qH@\"Q> OyK\"F17$Fiy$\"3MJ3r6M._9F17$F^z$\"3Q+*zLg')zd\"F17$Fcz$\"3BT&ox*)4bq \"F17$Fhz$\"3dn;,.HWM=F17$F][l$\"35kkkkkkk>F1Fb[l7#-F(6$7S7$F,$!3aRUUU UUnoF17$F3$!3'o4(pV\")[&y'F17$F9$!33**[g>%yOr'F17$F>$!3gQL7G\"RWl'F17$ FC$!3vRAsj146mF17$FH$!3'>>EO3r#)e'F17$FM$!3g*\\Ds/!o#f'F17$FR$!3`-_*[S .Wj'F17$FW$!36HsVHsVHnF17$Ffn$!3X[vjp;$\\!pF17$F[o$!3`67=jDS6sF17$F`o$ !3+4]g%3agv(F17$Feo$!3,8======))F17$Fjo$!3/RY)*4&oa9\"Fgq7$F_p$!358::: :::FFgq7$Fdp$\"3QXf-uf-u*)F17$Fip$!3eg&[[[[[)fFas7$F^q$!3?0A#3[\\Nv$F1 7$Fcq$!3YgddddddxF17$Fiq$!3QnnKG:weVFgq7$F^r$\"3#pREpSEpS*F17$Fcr$\"3t ne\\SJA8MF17$Fhr$\"3kGU'H\"zV-Fas7$Fbv$\"3s0rvM=FwEFas7$Fgv$\"3tg\\p\\#4a`$ Fas7$F\\w$\"31%4HFeD0Z%Fas7$Faw$\"3gma(*oa(*oaFas7$Ffw$\"3a)pD08,3_'Fa s7$F[x$\"3%*[>'z\\[!=wFas7$F`x$\"35+Fg5MGa()Fas7$Fex$\"3`ECCCCCC**Fas7 $Fjx$\"3\"p^qYidB6\"F17$F_y$\"3ux\"y1#e'[B\"F17$Fdy$\"3WZ79@Rkf8F17$Fi y$\"3OqRsZOV'[\"F17$F^z$\"3`1fC;Z,:;F17$Fcz$\"3#\\DJ.1)>X$!3V@(er*)GF\"oF17$FC$!39RpD*)e $3x'F17$FH$!3s#G))))Gu/v'F17$FM$!3u\"Fgq7$F_p$!3)yZ4%z%4p 'GFgq7$Fdp$\"3!4IvYKvr))*F17$Fip$!3lGHGGGGGGFas7$F^q$!3m=o&3\"fEkNF17$ Fcq$!3owuuuuu*f(F17$Fiq$!3(\\*H*zSteJ%Fgq7$F^r$\"31-E$=hK=O*F17$Fcr$\" 34P+kF\"\\gS$F17$Fhr$\"38rf9M7D,&RCd#[X%Fet7$Fcu$\"3gf`*QO&*Q'yFet7$Fhu$\"3Zr%* )ysR;J\"Fas7$F]v$\"33(Hm-Rv6)>Fas7$Fbv$\"3%y@K6%=#fw#Fas7$Fgv$\"3R[xzA jAWOFas7$F\\w$\"3#>d\\:W3'*f%Fas7$Faw$\"3A<\")G>\")G>cFas7$Ffw$\"3#pa= j'G>$p'Fas7$F[x$\"3=j*)oV1F8yFas7$F`x$\"3M!*Qu9L+t*)Fas7$Fex$\"3,6HG/_;F17$Fcz$\"3/pR*GA')[y\"F17 $Fhz$\"3!*eKR@!)>>>F17$F][l$\"3CaS$[0M[0#F1Fb[l7#-F(6$7S7$F,$!3=133333 $=(F17$F3$!3(*GfT\"yX/5(F17$F9$!3qn@,#Qh)GqF17$F>$!3;0T>m'=5(pF17$FC$! 3_Q;z96eIpF17$FH$!3es.:%\\xE\"pF17$FM$!3xODbcVtCpF17$FR$!3m+*\\;Qhz(pF 17$FW$!3e!f(=!f(=!4(F17$Ffn$!3%oXxhpl>>>>>W(F17$Fiq$!3'=AfwG&)HF%Fgq7$F^r$\"3A2)Qn\")QnJ*F 17$Fcr$\"3c0Uy9^())R$F17$Fhr$\"3<8xKbX1+@g#Fas7$F\\t$\"3W=(fz$RSb7Fas7$Fat$\"32)HV6IV6!eFet7 $Fgt$\"3?q\"3***3=FOFet7$F]u$\"3\"QsW#>]fIZFet7$Fcu$\"3;kKeoKeo#)Fet7$ Fhu$\"3k5Z%zY8pO\"Fas7$F]v$\"3g2Y#)=b\"H0#Fas7$Fbv$\"3SHt]Z=dbGFas7$Fg v$\"3/O0!fRVIv$Fas7$F\\w$\"3q[+P+8pGZFas7$Faw$\"3%yw+'p2gpdFas7$Ffw$\" 3a(R6@g%eloFas7$F[x$\"3JwfT*y#\\3!)Fas7$F`x$\"3[z]))=Ks\">*Fas7$Fex$\" 3P\"z')4z')4/\"F17$Fjx$\"3a*>&=n_%e;\"F17$F_y$\"3O39*eCuLH\"F17$Fdy$\" 3#H[*zv$fKU\"F17$Fiy$\"31\\-v>TBb:F17$F^z$\"3%)=z(>%42*o\"F17$Fcz$\"3r #ocaQuX#=F17$Fhz$\"3oaSe!ev:'>F17$F][l$\"3_\\y#*\\y#**4#F1Fb[l7#-F(6$7 S7$F,$!30*344444M(F17$F3$!39W`F+Y#zD(F17$F9$!37,e@jGX'=(F17$F>$!3*z[H_ V3$HrF17$FC$!3-PjKSjK!4(F17$FH$!3MjCT*p!)[2(F17$FM$!3!\\0;7^h24(F17$FR $!3G\\s-q.u\\rF17$FW$!3+qFcqFcqsF17$Ffn$!3/6uW4F=&[(F17$F[o$!3/vo(pv?L &yF17$F`o$!3oh#HnA&G-&)F17$Feo$!3E5:::::l(*F17$Fjo$!39;%zL!yn!H\"Fgq7$ F_p$!3O1a#zSD/<$Fgq7$Fdp$\"3y*R(f-uMr6Fgq7$Fip$\"3sv$[[[[[[$Fas7$F^q$! 3-Ug#4x)p&=$F17$Fcq$!3%4\"44444%G(F17$Fiq$!3X\\aKnr4IUFgq7$F^r$\"3O7]k @]kr#*F17$Fcr$\"3#\\PG>5,![DEk=F17$Fhz$\"3Y][xRJ&R+#F17$F][l$\"3RW;-X;-X@F1Fb[l7#-F(6$7S 7$F,$!3/rttttt)\\(F17$F3$!3?gZ8>MS:uF17$F9$!3VN%>WMWSM(F17$F>$!3#*p[E/ #)f(G(F17$FC$!3SO5'ecr+D(F17$FH$!3@`Xn/R3PsF17$FM$!3;s&zem)ycsF17$FR$! 3y)f/%e$>:K(F17$FW$!3I]z$4&z$4X(F17$Ffn$!3CltrA(*fywF17$F[o$!3!o4U#)[$ Hn!)F17$F`o$!3s!oq2%*G5v)F17$Feo$!3g23333335Fgq7$Fjo$!3Zvw<,43R8Fgq7$F _p$!3qpL=sL=ALFgq7$Fdp$\"3iMBmPBmi7Fgq7$Fip$\"352STTTTTmFas7$F^q$!31b1 '4?:k*HF17$Fcq$!3(*GEEEEEErF17$Fiq$!3Mw;*p/4s=%Fgq7$F^r$\"3^<7bE7bE#*F 17$Fcr$\"3SVD2*3FXQ$F17$Fhr$\"3o(>\"p(>\"p(p\"F17$F]s$\"3g4*f@5RJ?*Fas Fbs7$Fgs$\"3gB!o%of9.EFas7$F\\t$\"3+sT03n!=E\"Fas7$Fat$\"3Eq4eu4eufFet 7$Fgt$\"3_a%))[]\"ykRFet7$F]u$\"3=#yV*3O8#G&Fet7$Fcu$\"3'=2fz2fz2*Fet7 $Fhu$\"37)=b![4Yx9Fas7$F]v$\"35G7%fx&R'>#Fas7$Fbv$\"3&>bd-'=([.$Fas7$F gv$\"3o4h5UvnqRFas7$F\\w$\"3y-5,=q&o)\\Fas7$Faw$\"3'z1E-2E-2'Fas7$Ffw$ \"3V&4(pt!o.@(Fas7$F[x$\"3!f+q33P*)R)Fas7$F`x$\"3)*fu;FI;H'*Fas7$Fex$ \"3kR$\\&R$\\&*3\"F17$Fjx$\"3<#))*p4HL>7F17$F_y$\"3+RY5rE)=N\"F17$Fdy$ \"3==xXI[(o[\"F17$Fiy$\"3KFlx\"fMSi\"F17$F^z$\"3sI*4x;FJw\"F17$Fcz$\"3 I5@e52&R!>F17$Fhz$\"3-Yc'*)pIj/#F17$F][l$\"3ARa6Sa6!>#F1Fb[l7#-F(6$7S7 $F,$!3#Rlllllll(F17$F3$!3EwT*zB#)Gd(F17$F9$!3&)oIiDej,vF17$F>$!3k`-Itz )eW(F17$FC$!3zNdR\"z;)4uF17$FH$!3%RkO*4rG*R(F17$FM$!3I!4V0#e\"GU(F17$F R$!3SZ>yY$)H$\\(F17$FW$!3hIJJJJJJwF17$Ffn$!3W>t)ft;?(yF17$F[o$!3!fJ2&> iE\"G)F17$F`o$!3)z47[ls(***)F17$Feo$!3=kkkkkkR5Fgq7$Fjo$!3WMf(*)*R[(Q \"Fgq7$F_p$!3[M8WO8%RZ$Fgq7$Fdp$\"3[pssss(RN\"Fgq7$Fip$\"3-f'zzzzzz*Fa s7$F^q$!3vm_*4jJr!GF17$Fcq$!35YVVVVVopF17$Fiq$!3$R!zlE4KWTFgq7$F^r$\"3 mAuXJuX\"=*F17$Fcr$\"3w7n@wINxLF17$Fhr$\"3%*RH()=X]'p\"F17$F]s$\"3$4@' z+K<-#*FasFbs7$Fgs$\"3D4a9)RfOg#Fas7$F\\t$\"31*R,J43]E\"Fas7$Fat$\"3o0 )*H6)*HhgFet7$Fgt$\"32)fyt!=eLTFet7$F]u$\"3S7Lz.H!zb&Fet7$Fcu$\"3Uwpk# )pk#[*Fet7$Fhu$\"3HF/6)oMF`\"Fas7$F]v$\"3iQ&*\\/f8oAFas7$Fbv$\"3_jEjm= _CJFas7$Fgv$\"3M(*)3_h%\\zSFas7$F\\w$\"3**y9$o()Rf6&Fas7$Faw$\"3[<(Q0s Q0A'Fas7$Ffw$\"3#\\%**[4)fFQ(Fas7$F[x$\"3!z,(fE#fTf)Fas7$F`x$\"37\\'38 $H)y%)*Fas7$Fex$\"3*RhIQhIQ6\"F17$Fjx$\"3QBs&4twgC\"F17$F_y$\"3Ka7r$)o 8\"Q\"F17$Fdy$\"3#f$oydDo=:F17$Fiy$\"3cm'*yF[Ve;F17$F^z$\"35Pfd!Gb,!=F 17$Fcz$\"3(R#[9t)QO%>F17$Fhz$\"3+Uk:e#3()3#F17$F][l$\"3aM#4_B4_B#F1Fb[ l7#-F(6$7S7$F,$!3yORRRRR9yF17$F3$!3K#f`o0h.t(F17$F9$!31/n#oIF#fwF17$F> $!3fNcLUx:.\\hvF17$FM$!3M4m?vH%))e (F17$FR$!37&Hf^Lx]m(F17$FW$!3\"4J)o6$)o6yF17$Ffn$!3ktsD\\PVl!)F17$F[o$ !3aQDx]*Q_\\)F17$F`o$!3E:N&)oj^[#*F17$Feo$!3e?@@@@@r5Fgq7$Fjo$!3C$>un4 ()eV\"Fgq7$F_p$!3D*H*p+$*pDOFgq7$Fdp$\"3K/Az2AHX9Fgq7$Fip$\"3?JXXXXX&H \"F17$F^q$!3@!))H51[yh#F17$Fcq$!3Ajggggg5oF17$Fiq$!3_JTK1GV,TFgq7$F^r$ \"3\"yijjjjj8*F17$Fcr$\"3o\")3Oj!z,P$F17$Fhr$\"3A#oa+%yJ&p\"F17$F]s$\" 3O8DV*H27?*FasFbs7$Fgs$\"3\"\\zAy#GsO$eFet7$Fcu$ \"3gz[L()[L())*Fet7$Fhu$\"3!fml\"G%3!)e\"Fas7$F]v$\"3')[y0Lg()RBFas7$F bv$\"3_ux+t=<9KFas7$Fgv$\"3)\\o6$)o6$)=%Fas7$F\\w$\"3?b>lNF-X_Fas7$Faw $\"35o8&3P^3P'Fas7$Ffw$\"3K$z#GX::bvFas7$F[x$\"3ELSKs8Q*y)Fas7$F`x$\"3 0%)\\a$Ggm+\"F17$Fex$\"3N))=6))=6Q6F17$Fjx$\"3ekX@_0#GF\"F17$F_y$\"3&) pyJ'4\"R59F17$Fdy$\"3m`f6&G!\\]:F17$Fiy$\"3y0G!Q1NGp\"F17$F^z$\"3.V>W$ R$=P=F17$Fcz$\"35QvqNqK$)>F17$Fhz$\"3dPsM$!3K>5P6vYixF17$FC$!3oL^YUsIHxF17$FH$!3eC3Y?NpBxF17$FM$!3[F,()H,([ v(F17$FR$!3_Xm`Bj&o$yF17$FW$!3?\"\\j?\\j?*zF17$Ffn$!3%yAFDw])e#)F17$F[ o$!3Ufx.#o6#4()F17$F`o$!3GM\\*G3gs\\*F17$Feo$!3:xxxxxx-6Fgq7$Fjo$!3w_C d%>!H%[\"Fgq7$F_p$!3-ks&\\Edux$Fgq7$Fdp$\"3;Rr&G92m`\"Fgq7$Fip$\"3G%46 6666h\"F17$F^q$!3!>\\k5\\k&GCF17$Fcq$!3C\"yxxxxFl'F17$Fiq$!3Se.*foW&eS Fgq7$F^r$\"3%H$)p7%)p74*F17$Fcr$\"3g]]]]]+jLF17$Fhr$\"3ECkBh68%p\"F17$ F]s$\"3e8)o!)RT-?*FasFbs7$Fgs$\"3,!=+vD'o/EFas7$F\\t$\"3i_e>j3Tr7Fas7$ Fat$\"3j![PZ[PZB'Fet7$Fgt$\"3K!))eBT#=rWFet7$F]u$\"3XrB\\$\\T%4hFet7$F cu$\"3UyA?zA?H5Fas7$Fhu$\"3y/4Ao@GV;Fas7$F]v$\"3$)ehhhhh6CFas7$Fbv$\"3 2')GQz=#QI$Fas7$Fgv$\"3ksWTh(GrH%Fas7$F\\w$\"3kLCZ%f0TP&Fas7$Faw$\"3h< S;@S;@lFas7$Ffw$\"3\"Gkv5GVvs(Fas7$F[x$\"3_Z50=Ng%)*)Fas7$F`x$\"3'H5fR FK&G5F17$Fex$\"3qiJRiJRi6F17$Fjx$\"3+1>ZtVc*H\"F17$F_y$\"3<&[C*3`kR9F1 7$Fdy$\"3Sr]W7!)H#e\"F17$Fiy$\"3/Xf\")*HNss\"F17$F^z$\"3U\\zI1:@u=F17$ Fcz$\"3y^-F)>:I-#F17$Fhz$\"37L!QlPjM<#F17$F][l$\"3pCoRDoRDBF1Fb[l7#-F( 6$7S7$F,$!3k,00000I\")F17$F3$!3mACd%p=`/)F17$F9$!3osRBp-TuzF17$F>$!39- kS!Gd2#zF17$FC$!31L)**zY_!*)yF17$FH$!3c8HsDn*e)yF17$FM$!3sWO`%G(*3#zF1 7$FR$!3D$*R\">JN'3!)F17$FW$!3]r'QCnQC<)F17$Ffn$!3!Q=(zvxE_%)F17$F[o$!3 H!)HI8W=B*)F17$F`o$!3K`j$pz.gu*F17$Feo$!3sLMMMMMM6Fgq7$Fjo$!3b62P#H$pK :Fgq7$F_p$!3mE_@H_@HRFgq7$Fdp$\"3+u?#z2Azi\"Fgq7$Fip$\"3ffwwwwwE>F17$F ^q$!3g.\"*4@4GRAF17$Fcq$!3O)\\\\\\\\\\\\\\'F17$Fiq$!3+'eccccc,%Fgq7$F^ r$\"3KOg#\\w.JeN$F17$Fhr$\"3Im\"=C[WHp\"F17$F]s$\" 3-;^q'\\v#*>*FasFbs7$Fgs$\"37lv<(o*>0EFas7$F\\t$\"3SzIC[Ahu7Fas7$Fat$ \"3.;jX@jX@jFet7$Fgt$\"34@!\\[r#)*RYFet7$F]u$\"3)4!>M)y5_Q'Fet7$Fcu$\" 3so5np5np5Fas7$Fhu$\"3%R9w#3fb)p\"Fas7$F]v$\"3OpWfs^Me%fS%Fas7$F\\w$\"3%)4HH`%)=.bFas7$Faw$\"3Co mZrmZrmFas7$Ffw$\"3I#\\oo,N***yFas7$F[x$\"3kg!yPmD)z\"*Fas7$F`x$\"35AK PkUS]5F17$Fex$\"3%oVumVum=\"F17$Fjx$\"3AZ#HZ>3jK\"F17$F_y$\"3E+6`@&**) o9F17$Fdy$\"3#*)=u(Rd59;F17$Fiy$\"3G%3He`N;w\"F17$F^z$\"3NbR<>'R7\">F1 7$Fcz$\"3olH$3O.F1#F17$Fhz$\"3oG)Gd$4%e@#F17$F][l$\"3a>1\\?1\\qBF1Fb[l 7#-F(6$7S7$F,$!3i$yyyyyyG)F17$F3$!3$y$=V8vz-#)F17$F9$!341wV]<+K\")F17$ F>$!3)\\yT%\\q/z!)F17$FC$!3cJX`$p(z[!)F17$FH$!3?0])4$**4[!)F17$FM$!3)> ;(>RW#p3)F17$FR$!3)4M\"H+VT!=)F17$FW$!3#4&Q\"G&Q\"GN)F17$Ffn$!3+Qr1*y% oX')F17$F[o$!3;,#oX9dr8*F17$F`o$!3Osx(4^ZZ***F17$Feo$!37!44444f;\"Fgq7 $Fjo$!31r*o,R'4\"e\"Fgq7$F_p$!3W\">tM>t43%Fgq7$Fdp$\"3b4q)H,P#>*FasFbs7$Fgs$\"3x]\\&o68dg#Fas7$F\\t$\"3=1.H LO\"yF\"Fas7$Fat$\"3@a^$ 3!)4m'Fet7$Fcu$\"3>f)R,')R,6\"Fas7$Fhu$\"3c#QJ$['HQv\"Fas7$F]v$\"3gzFt =k4bDFas7$Fbv$\"3u4J8#*=7$[$Fas7$Fgv$\"3%o/?w!Hw9XFas7$F\\w$\"3;(Q8@Jr Aj&Fas7$Faw$\"3&)=$*y@$*y@oFas7$Ffw$\"3#HMhEvEB2)Fas7$F[x$\"3)[20&4y/v $*Fas7$F`x$\"3+TtyaiFs5F17$Fex$\"3(4rb4rb4@\"F17$Fjx$\"3U)e')f,_IN\"F1 7$F_y$\"3e:x8MP:)\\\"F17$Fdy$\"3m1L5nM\"fk\"F17$Fiy$\"3IBA%=xNgz\"F17$ F^z$\"3uh*R?tn#[>F17$Fcz$\"3ezcRB:R-@F17$Fhz$\"3CC'>\\\\=#eAF17$F][l$ \"3R9We:We:CF1Fb[l7#-F(6$7S7$F,$!3QnqqqqqX%)F17$F3$!3ya7HKjFg$)F17$F9$ !3_R7kJKf*G)F17$F>$!3\"y;x%=oLP#)F17$FC$!3&4Bp!>Ha3#)F17$FH$!32&4Zi8.. @)F17$FM$!3y#ogQf^HD)F17$FR$!3E#po')G$>_$)F17$FW$!3LI!*=L!*=L&)F17$Ffn $!3>#4PB!=5R))F17$F[o$!3!QULe()H6N*F17$F`o$!3z=>]A\"\\V-\"Fgq7$Feo$!3q YZZZZZ(>\"Fgq7$Fjo$!3')Hs'z[*\\H;Fgq7$F_p$!3@c6td6tKUFgq7$Fdp$\"3RW>0[ >b5=Fgq7$Fip$\"3)zy!3333eDF17$F^q$!3uG$o6y82'=F17$Fcq$!3]LHHHHHzhF17$F iq$!3[S!*)\\K!))HRFgq7$F^r$\"3iY%))fX))f&*)F17$Fcr$\"3\"ybP>,$[TLF17$F hr$\"3/^;yC6d!p\"F17$F]s$\"3y>x(RpVt>*FasFbs7$Fgs$\"3VOB`YlA1EFas7$F\\ t$\"3%H`P$=],\"G\"Fas7$Fat$\"3+\"*R*[*R*[\\'Fet7$Fgt$\"351$H)>Lex\\Fet 7$F]u$\"3/g4/y$\\n$pFet7$Fcu$\"3k\\'31l31:\"Fas7$Fhu$\"3r@mQ)Q.\"4=Fas 7$F]v$\"3%)*3\"HZl$oi#Fas7$Fbv$\"3u?#3&)*=xsNFas7$Fgv$\"3\\MGs!)*zNi%F as7$F\\w$\"3[kQ$45s>5spFas7$Ffw$\"3?!>a%)[=ZC)Fas7 $F[x$\"37*3K_&*p-d*Fas7$F`x$\"39g9?X#[T4\"F17$Fex$\"3L&)pB&)pBN7F17$Fj x$\"3%)HRCPezz8F17$F_y$\"36JVuYzSF:F17$Fdy$\"3SCCV%>@xn\"F17$Fiy$\"3wi `&y+O/$=F17$F^z$\"3onf!\\%eH&)>F17$Fcz$\"3/$Refoz?9#F17$Fhz$\"3B?/6agf +BF17$F][l$\"3o4#y1@y1Y#F1Fb[l7#-F(6$7S7$F,$!3P\\`````.')F17$F3$!3&*p1 :^^v<&)F17$F9$!3su[%Gr%=Z%)F17$F>$!3S_D^(eEcR)F17$FC$!3MIRgW\")Go$)F17 $FH$!3%\\=4:M1DP)F17$FM$!3.+U_[(y*=%)F17$FR$!3**Rg/xA(R_)F17$FW$!3^6Uc 8Uc8()F17$Ffn$!3iWqg:)=D.*F17$F[o$!3!Hk)42E5l&*F17$F`o$!3qgg!R\\B#\\5F gq7$Feo$!3F./////H7Fgq7$Fjo$!3m)[lde-zn\"Fgq7$F_p$!3%)=\"*)>7*[%Q%Fgq7 $Fdp$\"3Czo6$)o'=!>Fgq7$Fip$\"3/^ttttttGF17$F^q$!3WSH?6-Vr;F17$Fcq$!3j ]YYYYY@gF17$Fiq$!33o_l/A*p)QFgq7$F^r$\"3w^Y*3m%*3\"*)F17$Fcr$\"3HE<3** *3VL$F17$Fhr$\"3K$RjfW%Q*o\"F17$F]s$\"35@Sh#zxj>*FasFbs7$Fgs$\"34A(4i( *Rng#Fas7$F\\t$\"3sfZQ.k@%G\"Fas7$Fat$\"3SEGhJGh\"e'Fet7$Fgt$\"3'*[%>B i$QY^Fet7$F]u$\"3())[!*Gn=D@(Fet7$Fcu$\"3%*Ru2Tu2\">\"Fas7$Fhu$\"3gg=W GrPk=Fas7$F]v$\"33+%\\enw&)p#Fas7$Fbv$\"3wJL)[!>UiOFas7$Fgv$\"3[?c#Q0( RKZFas7$F\\w$\"3oSVvHqV!*eFas7$Faw$\"3)*=YTAYTArFas7$Ffw$\"3qRqCC-6<%) Fas7$F[x$\"3C-\"f45#\\l(*Fas7$F`x$\"31zbhN--;6F17$Fex$\"3of#=&f#=&f7F1 7$Fjx$\"30r7]e'RlS\"F17$F_y$\"3UY4Nf@mc:F17$Fdy$\"39U:w@*G&4xdRKA?F17$Fcz$\"3%p5@&[yw\"=#F17$Fhz$\"3y: 7I8O(HM#F17$F][l$\"3a/?x0?x0DF1Fb[l7#-F(6$7S7$F,$!39LOOOOOh()F17$F3$!3 7&35+(RBv')F17$F9$!383&[S>wZg)F17$F>$!3[Lzacj\"Rb)F17$FC$!3sH'Q,PL!G&) F17$FH$!3ew7xY&4Z`)F17$FM$!3GFgq7$Fip$\"37=RRRRR*=$F17$F^q$!3#RbP7kY@[\"F17$Fcq$!3'o OOOOOO'eF17$Fiq$!3'\\\\@V3/T%QFgq7$F^r$\"3!p&3!e'3!e'))F17$Fcr$\"3@&*e A')\\8FLF17$Fhr$\"3ON^9nx>)o\"F17$F]s$\"3UA.D\"*=T&>*FasFbs7$Fgs$\"3>2 r)eS`sg#Fas7$F\\t$\"3y')>V)y+unzG)[(Fet7$Fcu$\"3pIiaJiaJ7Fas7$Fhu$\"3?*4(\\o3l >>Fas7$F]v$\"3)3r2W!oJqFFas7$Fbv$\"3UW%e7\">2_PFas7$Fgv$\"393%Gp797%[F as7$F\\w$\"3,=[d)))>&>gFas7$Faw$\"3gpsssssssFas7$Ffw$\"3I!*)R+'>]*e)Fa s7$F[x$\"3];hoYUrg**Fas7$F`x$\"3(zpHgA#*y8\"F17$Fex$\"3#Q`*zL&*z$G\"F1 7$Fjx$\"3D7'e(zMGL9F17$F_y$\"3uhv&>P;fe\"F17$Fdy$\"3*)f14\\mLT>>>>>*)F17$F 3$!31-&p))y7F$))F17$F9$!3MV@DvwOi()F17$F>$!33=LeDh?7()F17$FC$!35HLn&fy xo)F17$FH$!3WmL._F\"pp)F17$FM$!3aM7&y0L5v)F17$FR$!3+R2!QDIv'))F17$FW$! 3)Qd9Vd9V2*F17$Ffn$!3,`p9UGN>%*F17$F[o$!3U'3H'p![I***F17$F`o$!3KWVrOA( *)4\"Fgq7$Feo$!3U;<<<<<#H\"Fgq7$Fjo$!3'p+i8y3Zx\"Fgq7$F_p$!3S[]]]]+)o% Fgq7$Fdp$\"3%*[nC`n\\%3#Fgq7$Fip$\"3m\"[]]]]]]$F17$F^q$!3gl@FrI'GH\"F1 7$Fcq$!3*R33333eq&F17$Fiq$!3bAx)R'f@,QFgq7$F^r$\"31iqqqqq?))F17$Fcr$\" 3dk+Pt4'*>LF17$Fhr$\"3ixoK)36qo\"F17$F]s$\"3'[i'))*)fW%>*FasFbs7$Fgs$ \"3H#\\kb$ow2EFas7$F\\t$\"3c8#zM<>1H\"Fas7$Fat$\"3Q,00000bnFet7$Fgt$\" 3GL(*HFU)R[&Fet7$F]u$\"3K\\&*eis0kxFet7$Fcu$\"39@],A],s7Fas7$Fhu$\"3QQ Bb3Y#\\(>Fas7$F]v$\"3e?g'H$p0UGFas7$Fbv$\"3'[bLw\">sTQFas7$Fgv$\"3!e>J +?J+&\\Fas7$F\\w$\"3M&H&RZFg[hFas7$Faw$\"3A?*RI#*RIU(Fas7$Ffw$\"3!)RF$ ep$*=w)Fas7$F[x$\"3=88CROf:5F17$F`x$\"37kPWJx\"F17$Fiy$ \"3[!y%*erOO$>F17$F^z$\"39')R]$=!Q'4#F17$Fcz$\"3wMlktT9hAF17$Fhz$\"3M2 GoJ(GxU#F17$F][l$\"37&fffffff#F1Fb[l7#-F(6$7S7$F,$!3)))>????q2*F17$F3$ !3C<*Gxg\">!**)F17$F9$!3vwdXc\"f*>*)F17$F>$!39*p=Y*e\\q))F17$FC$!3%\\- 37#Q_Z))F17$FH$!3IcaHdf6f))F17$FM$!3LbZ^7-1<*)F17$FR$!3t'3y@C4$R!*F17$ FW$!3I`(*oa(*oa#*F17$Ffn$!3@2pTb)pFh*F17$F[o$!3bI%*3!3-2-\"Fgq7$F`o$!3 0'[=\"3m%Q7\"Fgq7$Feo$!3*HPPPPPPK\"Fgq7$Fjo$!37m-;z=6B=Fgq7$F_p$!3;8Iw 9IwR[Fgq7$Fdp$\"3y$o6$)o6e<#Fgq7$Fip$\"3uWqqqqq?QF17$F^q$!32znI,&zN5\" F17$Fcq$!3+-)zzzzza&F17$Fiq$!3W\\RlVyKePFgq7$F^r$\"3?nKhvKhv()F17$Fcr$ \"3\\LU^gpy7LF17$Fhr$\"35?'3&4W#eo\"F17$F]s$\"3IFH_)3![$>*FasFbs7$Fgs$ \"3&z(=Cl-G3EFas7$F\\t$\"3MSk_e0#QH\"Fas7$Fat$\"3xO$pI?Fas7$F]v$\"3#3LC:1(z8HFas7$Fbv$\"3)pm3S#>PJRFas7$Fgv$\"3W$)R8t #[)e]Fas7$F\\w$\"3ard@1coxiFas7$Faw$\"3spDNtDNtvFas7$Ffw$\"33(eD;V&GM* )Fas7$F[x$\"3R9S\"Q&e6N5F17$F`x$\"3-Oz&o?O;=\"F17$Fex$\"3`#3iB3iBL\"F1 7$Fjx$\"3!\\HtA7rn[\"F17$F_y$\"3g#zqrzCWk\"F17$Fdy$\"39&*)[P5_\\!=F17$ Fiy$\"3]>z!>&p.o>F17$F^z$\"3I#**pjH3M8#F17$Fcz$\"3l[#4iLK3I#F17$Fhz$\" 3!Hgt3H1,Z#F17$F][l$\"3***Q`5R`5k#F1Fb[l7#-F(6$7S7$F,$!3(3[[[[[[B*F17$ F3$!3=M$)eE/nZ\"*F17$F9$!3=5%fwj]v2*F17$F>$!3v$3aOm&yG!*F17$FC$!3LCFuY !ps+*F17$FH$!3=Yvbi\">8-*F17$FM$!3es#yrO(3$3*F17$FR$!3YMabI#)36#*F17$F W$!3$4$\\1N\\1N%*F17$Ffn$!3Shoooo=1)*F17$F[o$!3#G&f@`$*4U5Fgq7$F`o$!3' ziA&z4s[6Fgq7$Feo$!3eHIIIIIb8Fgq7$Fjo$!3GD&ep(\\^r=Fgq7$F_p$!3!e(4-z4_ \"*\\Fgq7$Fdp$\"3i=mPBm7nAFgq7$Fip$\"3#=hjjjjj8%F17$F^q$!3W1RT8$fH9*Fa s7$Fcq$!37>:::::!R&F17$Fiq$!3-x,KB(Rar$Fgq7$F^r$\"3Ns%>0[>0t)F17$Fcr$ \"3T-%ew%Hh0LF17$Fhr$\"39i.pIxj%o\"F17$F]s$\"3uH#fr=9D>*FasFbs7$Fgs$\" 3hj#>\\p$z3EFas7$F\\t$\"35nOdV>-(H\"Fas7$Fat$\"3Lw\")[y\")[GpFet7$Fgt$ \"3`:+GK[e@eFet7$F]u$\"3g0')G_ef:$)Fet7$Fcu$\"31-E&Hg_HN\"Fas7$Fhu$\"3 'e\"Gm)3sa3#Fas7$F]v$\"3iTE3!>Pb)HFas7$Fbv$\"3UxPQI>-@SFas7$Fgv$\"3Upn BY`mn^Fas7$F\\w$\"3')[i.l%onS'Fas7$Faw$\"3N?_mB_mBxFas7$Ffw$\"3pP%=u;x m5*Fas7$F[x$\"3#er'Qo!QY0\"F17$F`x$\"3%\\0ss>3N?\"F17$Fex$\"3mcLkcLkc8 F17$Fjx$\"34O1`V\\^8:F17$F_y$\"3o2ux4!zOn\"F17$Fdy$\"3m7!y5$)fn$=F17$F iy$\"3ue5#z=PC+#F17$F^z$\"3W)*fB4kVq@F17$Fcz$\"3bi>x)\\?0M#F17$Fhz$\"3 *))Rk+&Q[7DF17$F][l$\"3%[=Zh=Zho#F1Fb[l7#-F(6$7S7$F,$!3%GwwwwwER*F17$F 3$!3N\\xWX#\\^I*F17$F9$!3fVI')=@9N#*F17$F>$!3![Y*oKa2(=*F17$FC$!3qBuFs U,n\"*F17$FH$!3#yj>yOAN=*F17$FM$!3%)*yT=_9\"\\#*F17$FR$!3'RyK*=s'GQ*F1 7$FW$!3!R6Sa6Sah*F17$Ffn$!3g:o&>)Qg****F17$F[o$!3#\\ZUji'\\j5Fgq7$F`o$ !3opn#4N&ft6Fgq7$Feo$!3'fooooooQ\"Fgq7$Fjo$!3U%ycZ2=*>>Fgq7$F_p$!3eS*y K%*yK9&Fgq7$Fdp$\"3Y`:We:WeBFgq7$Fip$\"3!\\*FasFbs7$Fgs$ \"3E\\mfCrI4EFas7$F\\t$\"3!R*3iGLA+8Fas7$Fat$\"3t6q?:q?:qFet7$Fgt$\"33 f,xM^Q!*fFet7$F]u$\"3#e8Qr9l8f)Fet7$Fcu$\"3Q#R@MR@MR\"Fas7$Fhu$\"3-b!= (GeuS@Fas7$F]v$\"3'=&4k=tFdIFas7$Fbv$\"3`*))en$>n5TFas7$Fgv$\"3kd&R$>C [w_Fas7$F\\w$\"3=En&QK^e`'Fas7$Faw$\"3')py(R(y(R(yFas7$Ffw$\"3=(G6K!*o !z#*Fas7$F[x$\"3C<%fHGgT2\"F17$F`x$\"32uho(=!QD7F17$Fex$\"3-JY#4jC4Q\" F17$Fjx$\"3_xzyk(e-a\"F17$F_y$\"3+BSQAK$Hq\"F17$Fdy$\"3SIrSevco=F17$Fi y$\"3v(>MRUPo.#F17$F^z$\"3h/?5AXY2AF17$Fcz$\"3YwYLh'3-Q#F17$Fhz$\"3W%> b#49'[b#F17$F][l$\"39!)4C\")4CJFF1Fb[l7#-F(6$7S7$F,$!3iY]]]]]]&*F17$F3 $!3_krIk!GEY*F17$F9$!3yym1+Ot#R*F17$F>$!3U\\[s,_OX$*F17$FC$!35B@\"y\\f nK*F17$FH$!3oF<3tbsX$*F17$FM$!342`]w;9:%*F17$FR$!3[L,J2ika&*F17$FW$!3I $H:eH:ez*F17$Ffn$!3)pnA&*3-$>5Fgq7$F[o$!3#o**o%**Q*[3\"Fgq7$F`o$!3e64L A(p%)>\"Fgq7$Feo$!3aUVVVVV=9Fgq7$Fjo$!3eV]bs6Ko>Fgq7$F_p$!3M0p`2p.&H&F gq7$Fdp$\"3O*[1N\\c(\\CFgq7$Fip$\"3)ztwwwwww%F17$F^q$!3!p:1T\"zGd`Fas7 $Fcq$!3Ga\\\\\\\\\\u]F17$Fiq$!3]JEl#[j'HOFgq7$F^r$\"3l#)=L!*=LS')F17$F cr$\"3qSn%>#\\E\"H$F17$Fhr$\"3oYQ0tVE#o\"F17$F]s$\"3]L=V%Q#e!>*FasFbs7 $Fgs$\"3PMSFa0#)4EFas7$F\\t$\"3'47oOrCMI\"Fas7$Fat$\"38Ze#>&e#>5(Fet7$ Fgt$\"3c+.EPa=fhFet7$F]u$\"3/mw)>WMr'))Fet7$Fcu$\"3p#=!*Q=!*QV\"Fas7$F hu$\"3k$Ht(o&>g>#Fas7$F]v$\"3ch#*>Zu,HJFas7$Fbv$\"3l,S8V>K+UFas7$Fgv$ \"3uWBW#\\*H&Q&Fas7$F\\w$\"3].sn#=M\\m'Fas7$Faw$\"3[?0HC0HC!)Fas7$Ffw$ \"3qOT+R1Y^%*Fas7$F[x$\"3m=@`(\\#o$4\"F17$F`x$\"3)HH+\"y@DZ7F17$Fex$\" 3;0f?0f?09F17$Fjx$\"3s=`/'e-qc\"F17$F_y$\"3KQ1*\\V(=KF17$Fiy$\"3APt%*fwBr?F17$F^z$\"3x5!o\\j#\\WAF17$Fcz$\"3O!R(*Q#o*) >CF17$Fhz$\"3+!*fWo*Qsf#F17$F][l$\"3+vZLwZLwFF1Fb[l7#-F(6$7S7$F,$!3gGL LLLL3(*F17$F3$!3Z\"emJ)o5?'*F17$F9$!3A7.F\"3D.b*F17$F>$!3DK-wq\\l.&*F1 7$FC$!3]AoMBZ]'[*F17$FH$!3cDks*F17$FW$!3]u/>w/>w**F17$Ffn$!3Ss'\\3zV'Q5Fgq7$F[o$!33>bfs6H16Fg q7$F`o$!3\\`]t$4WLA\"Fgq7$Feo$!37************\\9Fgq7$Fjo$!3t-LNqUs;?Fg q7$F_p$!3Up[zr[zYaFgq7$Fdp$\"3@C9dG92TDFgq7$Fip$\"3]0LLLLL$3&F17$F^q$! 3!QF_W@_WY$Fas7$Fcq$!3Srmmmmm;\\F17$Fiq$!35f)=BOvne$Fgq7$F^r$\"3-'3Q_4 Q_f)F17$Fcr$\"3=444444%G$F17$Fhr$\"3;*eNUpx5o\"F17$F]s$\"3sL\"oI[;'*=* FasFbs7$Fgs$\"3Z>9&R)RL5EFas7$F\\t$\"3uZ`r)4EmI\"Fas7$Fat$\"3%RoW')oW' )=(Fet7$Fgt$\"35W/vRd)zK'Fet7$F]u$\"3E'>Pot.H9*Fet7$Fcu$\"3+t*eV(*eVZ \"Fas7$Fhu$\"3yK&G)3LH^AFas7$F]v$\"3Osvvvvv+KFas7$Fbv$\"357\"4&\\>(**G %Fas7$Fgv$\"3%H8Xbc;T\\&Fas7$F\\w$\"3qzw\\Tq,%z'Fas7$Faw$\"3)*pJguJgu \")Fas7$Ffw$\"3>')pzuB&Qi*Fas7$F[x$\"33?[57Z?86F17$F`x$\"3!>T9&oT7p7F1 7$Fex$\"3uzr[zr[H9F17$Fjx$\"3#*fEI2ku$f\"F17$F_y$\"3'QD(fZ;WhF17$Fiy$\"3ow/'f*yj0@F17$F^z$\"3#p,Myu?:G#F17$Fcz$\"3#Q5g k)\\efCF17$Fhz$\"3+'yOw_;'REF17$F][l$\"3Hq&G9dG9#GF1Fb[l7#-F(6$7S7$F,$ !3e5;;;;;m)*F17$F3$!3'[*f--dex(*F17$F9$!3jXRZil\"zq*F17$F>$!33:czRZ%>m *F17$FC$!3)=_\"))[*\\ik*F17$FH$!3?4fg$)>8q'*F17$FM$!39XB$e)f>Z(*F17$FR $!3qI[1%=/#)*)*F17$FW$!3Rllllll:5Fgq7$Ffn$!3#ymw@\\&)z0\"Fgq7$F[o$!3R^Y=#[7Fgq7$Feo$!3_bccccc\"[\"Fgq7$Fjo$!3ah::ot7 l?Fgq7$F_p$!3wKG0OGb)f&Fgq7$Fdp$\"30fjjjjQKEFgq7$Fip$\"3eo)*)*)*)*)*)R &F17$F^q$!3W!R)z9lhr:Fas7$Fcq$!3a)QQQQQ)eZF17$Fiq$!3)f3&)>C()Qa$Fgq7$F ^r$\"3;\"HW,IW,b)F17$Fcr$\"3ay]B'*o\"pF$F17$Fhr$\"3?JtT:5*)z;F17$F]s$ \"3;OWq\"e]')=*FasFbs7$Fgs$\"370)GOTZ3h#Fas7$F\\t$\"3zuDw$[F)48Fas7$Fa t$\"3M>NODNOvsFet7$Fgt$\"3'[eSA/'y'\\'Fet7$F]u$\"3[EnoJIn=%*Fet7$Fcu$ \"3gjx#[wF[^\"Fas7$Fhu$\"3orP))[qc1BFas7$F]v$\"3g#)eJ/x\\sKFas7$Fbv$\" 3?CU)e&>izVFas7$Fgv$\"3$*=zkQO$Hg&Fas7$F\\w$\"3#f:=.!**4BpFas7$Faw$\"3 h?e\"\\#e\"\\K)Fas7$Ffw$\"3eM)*e5TC'z*Fas7$F[x$\"3^@vnEpsK6F17$F`x$\"3 /J&G*eh*4H\"F17$Fex$\"3)QXoPXoPX\"F17$Fjx$\"3O,+cG-\\?;F17$F_y$\"3;pQ? gep!z\"F17$Fdy$\"3k$[%RS2*R'>F17$Fiy$\"3q:O(>8Q+9#F17$F^z$\"33B+qg)[&= BF17$Fcz$\"3so#F17$F][l$\"39lB_mB_mGF1 Fb[l7#-F(6$7S7$F,$!3V*)*)*)*)*)R-5Fgq7$F3$!3\"=T&)3_k]$**F17$F9$!3#3ex O/3b')*F17$F>$!3\"z*4$)3XB?)*F17$FC$!3[>iTu^*f!)*F17$FH$!31**z'))=NB$) *F17$FM$!3Sie\\SJA8**F17$FR$!3&y@WsJ)*p+\"Fgq7$FW$!3M$3%p$3%pL5Fgq7$Ff n$!3CjO]$>Ft2\"Fgq7$F[o$!3Ej&[)=d3\\6Fgq7$F`o$!3%pLVl$G4t7Fgq7$Feo$!33 7888888:Fgq7$Fjo$!3o?)\\fYIN6#Fgq7$F_p$!3a(z5.!3J]dFgq7$Fdp$\"3!RH,()H ,Ps#Fgq7$Fip$\"3nJkkkkk9dF17$F^q$\"37^Zb[=>7KFet7$Fcq$!3b1,,,,,,YF17$F iq$!3d88l@\"**4]$Fgq7$F^r$\"3J'\\]]]]]])F17$Fcr$\"3-Z#zL)GupKF17$Fhr$ \"3Ct!*fOVqy;F17$F]s$\"3gQ2M!o%o(=*FasFbs7$Fgs$\"3y!>1L%3O6EFas7$F\\t$ \"3d,)4)o)GIJ\"Fas7$Fat$\"3]dB3iB3itFet7$Fgt$\"3mD2tWjelmFet7$F]u$\"3# RDOlKUWp*Fet7$Fcu$\"3#Rb'HblHb:Fas7$Fhu$\"3G5!R*)yS=O#Fas7$F]v$\"3&G>u G$yBWLFas7$Fbv$\"3AN$fA'>FpWFas7$Fgv$\"3.12v62v6dFas7$F\\w$\"3OM'Q\"fF =_qFas7$Faw$\"37q%G_ZG_Z)Fas7$Ffw$\"33%o#QYejo**Fas7$F[x$\"3sA-DT\"\\A :\"F17$F`x$\"3&*\\EM\\\"oGJ\"F17$Fex$\"3-G(\\!G(\\!y9F17$Fjx$\"3cUt\") \\SBZ;F17$F_y$\"3\\%[5G2]*>=F17$Fdy$\"39,Osn%)z&*>F17$Fiy$\"3san)zOQW< #F17$F^z$\"3CHgctpdbBF17$Fcz$\"3iJbe68'*QDF17$Fhz$\"36x$=gkrVs#F17$F][ l$\"3**fhhhhh6HF1Fb[l7#-F(6$7S7$F,$!3\"y\"======5Fgq7$F3$!3q#[uRLa#45F gq7$F9$!3V@\")[_*4B+\"Fgq7$F>$!3u!QmyFC&y**F17$FC$!3))=4&**RSd'**F17$F H$!3;(3ITRQX***F17$FM$!3(z$f^H]#z+\"Fgq7$FR$!3!G&>3;i*H[q6Fgq7$F`o$!3%)yu%z?nzH \"Fgq7$Feo$!3%)opppppW:Fgq7$Fjo$!3%)z![PcL>;#Fgq7$F_p$!3fh(oXwo?!fFgq7 $Fdp$\"34HiwLi,:GFgq7$Fip$\"3>**HIIIIIgF17$F^q$\"3ce$4X)[09AFas7$Fcq$! 3yA=====VWF17$Fiq$!3=TvJ,56eMFgq7$F^r$\"3Y,n&*4n&*f%)F17$Fcr$\"3Q;M_q) oDE$F17$Fhr$\"3u:3ydw^x;F17$F]s$\"3#*Rq(*y(=n=*FasFbs7$Fgs$\"3WwN)HFu= h#Fas7$F\\t$\"3NGq&QDIiJ\"Fas7$Fat$\"3I%>,))>,)[uFet7$Fgt$\"3?p3AZmQMo Fet7$F]u$\"3;%y&Q@;@q**Fet7$Fcu$\"3yW`wX`w&f\"Fas7$Fhu$\"3W\\U**GX6#*eXFas7$Fgv$\"3C%\\`[yn0#eFas7 $F\\w$\"3c5\"fzhl7=(Fas7$Faw$\"3%=7Tb7Tbi)Fas7$Ffw$\"3Z`v@eF595F17$F[x $\"3MCH#eNr<<\"F17$F`x$\"3')onvR,uM8F17$Fex$\"3O-5L-5L-:F17$Fjx$\"3w$o u5(y(Rn\"F17$F_y$\"3e*41w-#F17$Fiy$\"3=%*)** RgQ)3AF17$F^z$\"3SN?V'30ER#F17$Fcz$\"3_X#[TZ\\'yDF17$Fhz$\"3os\"4_?\\n w#F17$F][l$\"3Gb*4n&*4n&HF1Fb[l7#-F(6$7S7$F,$!3$ekkkkkR.\"Fgq7$F3$!3SC /'e@-]-\"Fgq7$F9$!3&\\[315p!=5Fgq7$F>$!3Ow,p/9o85Fgq7$FC$!3$=c[Dc[D,\" Fgq7$FH$!31=#R*fTn:5Fgq7$FM$!30!H#)\\uFX-\"Fgq7$FR$!3v(o>\\6a8/\"Fgq7$ FW$!3S>\"p(>\"p(p5Fgq7$Ffn$!33aw:'f5g6\"Fgq7$F[o$!3g2;5l-)=>\"Fgq7$F`o $!3v?;Nz:%GK\"Fgq7$Feo$!31DEEEEEw:Fgq7$Fjo$!3**QjahmL5AFgq7$F_p$!3QEn# )Gn#Q0'Fgq7$Fdp$\"3Bj6$)o6L1HFgq7$Fip$\"3Gi&fffffM'F17$F^q$\"38Fas7$Fat$\"3ZK+_N+_NvFet7$Fgt$\" 3(*45r\\p=.qFet7$F]u$\"3WJNi\"4)fC5Fas7$Fcu$\"3$[8Mi8Mij\"Fas7$Fhu$\"3 1)[\\!p#)QsCFas7$F]v$\"3M83***3=x[$Fas7$Fbv$\"3wd&4](>d[YFas7$Fgv$\"3M \"Gcz&[QHfFas7$F\\w$\"3)yeznZ[.J(Fas7$Faw$\"3CqP&ex`ex)Fas7$Ffw$\"3UQo zJ>MJ5F17$F[x$\"3wDcRqNH\">\"F17$F`x$\"3+))3D?L#p@2q\"F17$F_y$\"37:P-)\\e%y=F17$Fdy$\"3%o$=QARTf?F17$F iy$\"3?LI,S)QKC#F17$F^z$\"3cT!)H*>L'HCF17$Fcz$\"3Vf4rOwL=EF17$Fhz$\"3A o**Rkn74GF17$F][l$\"39]P!=v.=+$F1Fb[l7#-F(6$7S7$F,$!3Auuuuuu\\5Fgq7$F3 $!3\"fOYx4]2/\"Fgq7$F9$!3H[)G([#GQ.\"Fgq7$F>$!3k9Pf\"Q5&H5Fgq7$FC$!3xJ ?5&3B&G5Fgq7$FH$!30FaY![%*=.\"Fgq7$FM$!3xT'[/YI6/\"Fgq7$FR$!3_Auv8?`e5 Fgq7$FW$!3_Pm!yj1y3\"Fgq7$Ffn$!3]\\Y[(H_`8\"Fgq7$F[o$!3_H\"G#QvF87Fgq7 $F`o$!3Iidv]frZ8Fgq7$Feo$!3*>GGGGGyg\"Fgq7$Fjo$!39)fW$f(R(eAFgq7$F_p$! 3s*o%3$p%e0iFgq7$Fdp$\"3y)4'*Q5Yw*HFgq7$Fip$\"3ODhhhhhhmF17$F^q$\"3E2r \"QGE(**fFas7$Fcq$!3/d_____FTF17$Fiq$!3m&**\\1wMBP$Fgq7$F^r$\"3w6\"p(> \"p(p$)F17$Fcr$\"3Aa<\"[%3A[KF17$Fhr$\"3/+V9+V9v;F17$F]s$\"3eU'\\i(py% =*FasFbs7$Fgs$\"3kY$QB8,Hh#Fas7$F\\t$\"3\">[^R-LEK\"Fas7$Fat$\"3(y')QA ()QAi(Fet7$Fgt$\"3_`6?_s)><(Fet7$F]u$\"3Y%[36-v@0\"Fas7$Fcu$\"3UDHqEHq w;Fas7$Fhu$\"3%ps/\"4?mFDFas7$F]v$\"3eB\"\\&=#e%fNFas7$Fbv$\"3))pYQ\") >AQZFas7$Fgv$\"3Ln!f5$>?QgFas7$F\\w$\"3?l+gN8VRuFas7$Faw$\"3)>UmhUmh#* )Fas7$Ffw$\"39BhP06e[5F17$F[x$\"3)pKo\\y:3@\"F17$F`x$\"3!p+&e?T[y8F17$ Fex$\"33^N*3b$*3b\"F17$Fjx$\"3Sm$*e8bYFF17$Fdy$\" 3Oa4r\\;A\"4#F17$Fiy$\"3msh-w!RwF#F17$F^z$\"3sZS;78mmCF17$Fcz$\"3)Gnt# *zD!eEF17$Fhz$\"3Ak2fBV]^GF17$F][l$\"3WXv*oa(*o/$F1Fb[l7#-F(6$7S7$F,$! 3U-....`l5Fgq7$F3$!3W2Bjzz\\c5Fgq7$F9$!3#=@\\oR(e\\5Fgq7$F>$!3#HD(\\e$ R`/\"Fgq7$FC$!3r,bl2w\\W5Fgq7$FH$!3'ej\"*4![6[5Fgq7$FM$!3]$*\\\"fc#*yFas7$Fcq$!3%f(ppppppRF17$Fiq$!3`AiJSmWHLF gq7$F^r$\"3!pJvYKvYK)F17$Fcr$\"39Bf&>$o/TKF17$Fhr$\"3IUgK@w&Rn\"F17$F] s$\"3-Xf)[2@Q=*FasFbs7$Fgs$\"3IKd,iXT8EFas7$F\\t$\"3p3()**3W$eK\"Fas7$ Fat$\"3m/x&*3x&*3xFet7$Fgt$\"3I%H\"pavyStFet7$F]u$\"3[PMf]>vz5Fas7$Fcu $\"3Y:<<<<<<JOFas7$Fbv$ \"3L!yfx)>(y#[Fas7$Fgv$\"3ab=;/!>q9'Fas7$F\\w$\"3ST0U%>9&ovFas7$Faw$\" 3Qq!zk2zk2*Fas7$Ffw$\"353a&*y-#e1\"F17$F[x$\"3SG5a**zLI7F17$F`x$\"3#e7 **46c.S\"F17$Fex$\"3AD[F17$Fdy$\"3*=2SqPHI7#F17$Fiy$\"3o6$R?JR?J#F17$F^z$\"3V`+.D%*o.DF17$F cz$\"3A(QO='Rr(p#F17$Fhz$\"3wf:y#)=)Q*GF17$F][l$\"3GS8*>M\"*>4$F1Fb[l7 #-F(6$7S7$F,$!3yIJJJJJ\"3\"Fgq7$F3$!37\\#=:'eCs5Fgq7$F9$!3;v&p\\aY`1\" Fgq7$F>$!3S\"z+aLo61\"Fgq7$FC$!3kr*3-8s/1\"Fgq7$FH$!3?Xy^@^Lk5Fgq7$FM$ !3AX8Q\"*eLu5Fgq7$FR$!3C#*GV6y)G4\"Fgq7$FW$!3St;)Qn\")Q7\"Fgq7$Ffn$!3M S'Q,qNS<\"Fgq7$F[o$!3)Q<\"[%3sgD\"Fgq7$F`o$!35YSc$pkuR\"Fgq7$Feo$!3y%f ffff4n\"Fgq7$Fjo$!3Y;6%\\&fabBFgq7$F_p$!3E>1g@154lFgq7$Fdp$\"3[of-ufF! =$Fgq7$Fip$\"3'fDHHHHHH(F17$F^q$\"3!o&[7$o(R&y*Fas7$Fcq$!3=#poooo=\"QF 17$Fiq$!37]C)*>&elG$Fgq7$F^r$\"31A:eH:ez#)F17$Fcr$\"31#4+\">G(QB$F17$F hr$\"3c%y2D%4xs;F17$F]s$\"3WZA_t^&G=*FasFbs7$Fgs$\"3'z6$p\"*z#Rh#Fas7$ F\\t$\"3ZNf/%zN!H8Fas7$Fat$\"31SlnXln&z(Fet7$Fgt$\"3XO9=dye4vFet7$F]u$ \"34!Ry+))Gt5\"Fas7$Fcu$\"3M10k20kd_<\\Fas7$Fgv$\"3kUYExg$eD'Fas7$F\\w$\"3s =5C`qf(p(Fas7$Faw$\"35AF17$Fdy$\"3')*=pV5P[:#F17$Fiy$\"39^C0[&RkM #F17$F^z$\"3.gg*y`<2a#F17$Fcz$\"3p+\"*RC@SPFF17$Fhz$\"3ybB(>Wfi$HF17$F ][l$\"3fN^3P^3PJF1Fb[l7#-F(6$7S7$F,$!3)*effff4(4\"Fgq7$F3$!3k!>/Mu$*z3 \"Fgq7$F9$!3oQ**3$p063\"Fgq7$F>$!3]HVI7t*p2\"Fgq7$FC$!3STCw_mWw5Fgq7$F H$!3=aS/Uab!3\"Fgq7$FM$!3I(pZogQ44\"Fgq7$FR$!3>F1F5d156Fgq7$FW$!3_\">> >>>>9\"Fgq7$Ffn$!3wNcY,uP$>\"Fgq7$F[o$!3y&p2wNpuF\"Fgq7$F`o$!3,)=o\\1R BU\"Fgq7$Feo$!3=^_____-eeeee3wF17$F^q$\"3)R(yFQL#y;\"F17$Fcq$ !3k5/////aOF17$Fiq$!3sx'['*RqOC$Fgq7$F^r$\"3?Fx[Mx[M#)F17$Fcr$\"3UhUC1 ))pEKF17$Fhr$\"31F&*ojUer;F17$F]s$\"3))\\&e@F*)==*FasFbs7$Fgs$\"3i.0P@ 9W9EFas7$F\\t$\"3DiJ4zrBK8Fas7$Fat$\"3Yv`R#Q&R#)yFet7$Fgt$\"3iy:nf\")Q ywFet7$F]u$\"36VLc4e!\\8\"Fas7$Fcu$\"3O'H4\")H4\")z\"Fas7$Fhu$\"3eV/FH K[$p#Fas7$F]v$\"3KaSA/'yYx$Fas7$Fbv$\"360+^+?<2]Fas7$Fgv$\"3%3Vn.:`YO' Fas7$F\\w$\"30'\\h?\"*zm#yFas7$Faw$\"3]qV5xV5x$*Fas7$Ffw$\"3+yR6E')H+6 F17$F[x$\"3EJkoGCQp7F17$F`x$\"3(QOF=4+TW\"F17$Fex$\"3qttttttB;F17$Fjx$ \"3B!Rht(pp2=F17$F_y$\"3gw,X[`Z&*>F17$Fdy$\"3O2$)pJ[k'=#F17$Fiy$\"3;!f lSyR3Q#F17$F^z$\"3ul?w]cuxDF17$Fcz$\"3g9='pG!4xFF17$Fhz$\"3M^J;,qjyHF1 7$F][l$\"3WI*y@$*y@=$F1Fb[l7#-F(6$7S7$F,$!3O(yyyyyG6\"Fgq7$F3$!3;K,HD; u.6Fgq7$F9$!3--.@T['o4\"Fgq7$F>$!3'z'y?*GEG4\"Fgq7$FC$!3M6fJv6U#4\"Fgq 7$FH$!3+j-didx'4\"Fgq7$FM$!3.\\SJA8a26Fgq7$FR$!3(>O3\"4OCF6Fgq7$FW$!3Y 4n&*4n&*f6Fgq7$Ffn$!3=JEz-\">F@\"Fgq7$F[o$!3/=UtIm'))H\"Fgq7$F`o$!3cHB POM@Z9Fgq7$Feo$!3$z!44444MKF17$Fhr$\"35p7([e(Rq;F17$F]s$\"3A^[zqL#4=*FasFbs7$Fgs$\"3s)) y/^[&\\h#Fas7$F\\t$\"3I*QSTcQaL\"Fas7$Fat$\"3/:U6>U6pzFet7$Fgt$\"3y?<; i%)=ZyFet7$F]u$\"39'H[!RF[i6Fas7$Fcu$\"3(p3y&)3y&Q=Fas7$Fhu$\"3[#oD$pp v[FFas7$F]v$\"37lByK(=k%QFas7$Fbv$\"3a:^)o+Ao4&Fas7$Fgv$\"3#o@qMAqMZ'F as7$F\\w$\"3Es>)3xid&zFas7$Faw$\"3CAqTFqTF&*Fas7$Ffw$\"3&HE$p*zPv6\"F1 7$F[x$\"3oK\"fKk/*)G\"F17$F`x$\"3!G[TA3sfY\"F17$Fex$\"3%yk=!['=![;F17$ Fjx$\"3WJ(=')zSW$=F17$F_y$\"3#>zc5cHZ-#F17$Fdy$\"3*[UF!fDX=AF17$Fiy$\" 3=H(y+-S_T#F17$F^z$\"3Ms!GOwtZh#F17$Fcz$\"3\\GX_\\%yn\"GF17$Fhz$\"3*o% RNgX,@IF17$F][l$\"3uDFFFFFFKF1Fb[l7#-F(6$7S7$F,$!3u:;;;;mG6Fgq7$F3$!3& Q2wr]*[>6Fgq7$F9$!3Nl1L*)Ri76Fgq7$F>$!31196m_l36Fgq7$FC$!3G\"Qpyp&R36F gq7$FH$!3)>Z'4$3'*H6\"Fgq7$FM$!3v+/yPS9C6Fgq7$FR$!3#p4Yz]@W9\"Fgq7$FW$ !3wFU*zA%*z<\"Fgq7$Ffn$!3gE'>T!31K7Fgq7$F[o$!38S2'Q!RE?8Fgq7$F`o$!3Yrk x2y3s9Fgq7$Feo$!3okllllll\"Fas7$Fcu$\"3%y(o/zo/z=Fas7$Fhu$ \"3O@4Q42./GFas7$F]v$\"3Pv1Mh)e\"=RFas7$Fbv$\"35F-E8?Z'=&Fas7$Fgv$\"3% R+tlH(G#e'Fas7$F\\w$\"3e\\CqHc%[3)Fas7$Faw$\"3'GnHxnHxn*Fas7$Ffw$\"3!z asK(pxM6F17$F[x$\"35M=$y&oU38F17$F`x$\"3#>gbE2Wy[\"F17$Fex$\"3SA**HA** Hs;F17$Fjx$\"3ksg()>Y=h=F17$F_y$\"3C2MmtP)R0#F17$Fdy$\"3SUlN'Gg-D#F17$ Fiy$\"3ko=4c-k\\CF17$F^z$\"31yS\\w=!=l#F17$Fcz$\"3'>C(37mYcGF17$Fhz$\" 3)GuW&>@RjIF17$F][l$\"3/@lOAlOsKF1Fb[l7#-F(6$7S7$F,$!3wVWWWWWW6Fgq7$F3 $!3>:?1*QP_8\"Fgq7$F9$!3))G5XPJQG6Fgq7$F>$!3_W\\,VU[C6Fgq7$FC$!3A^GU?- PC6Fgq7$FH$!3K\"oAOS;#H6Fgq7$FM$!3[_nC`nuS6Fgq7$FR$!3)=$Qy1%*fh6Fgq7$F W$!3qX<.Y<.'>\"Fgq7$Ffn$!3-AmW0DS^7Fgq7$F[o$!3/is)p>Fas7$Fhu$ \"3CghV\\WIfGFas7$F]v$\"31&)*)*)*)*)*)*)RFas7$Fbv$\"3cP`j>?7w_Fas7$Fgv $\"39#zv'pV5\"p'Fas7$F\\w$\"3zDH_)[GR@)Fas7$Faw$\"3OAB/GB/G)*Fas7$Ffw$ \"3%G$=&o9;?:\"F17$F[x$\"3INXSs!\\zK\"F17$F`x$\"3%3spI1;(4:F17$Fex$\"3 a'>\"e'>\"e'p\"F17$Fjx$\"319M8T%Gz)=F17$F_y$\"3aA+F')zB$3#F17$Fdy$\"3# 3m&o8!o?G#F17$Fiy$\"3m2]5#\\SS[#F17$F^z$\"3m%3g$*)*H))o#F17$Fcz$\"3Gc* \\Yxah*GF17$Fhz$\"3+Qbty'pd5$F17$F][l$\"3W:.Y<.Y$!3!G[=* >KJS6Fgq7$FC$!3;@j(HuW.9\"Fgq7$FH$!39!*)[TsOa9\"Fgq7$FM$!3c/Jro%\\t:\" Fgq7$FR$!3km:i0txy6Fgq7$FW$!3jj#pSEpS@\"Fgq7$Ffn$!3WF17$Fcq$!3EysssssAIF17$Fiq$!3/(e8$=z6sIFgq 7$F^r$\"3+YD6aD6a!)F17$Fcr$\"33P4#[v-!)>$F17$Fhr$\"3m&\\;%[v$om\"F17$F ]s$\"3IcPqmc-y\"*FasFbs7$Fgs$\"38X+3S^\\;EFas7$F\\t$\"3kp?G>F/X8Fas7$F at$\"3RD2FH2FH#)Fet7$Fgt$\"3)e9K'p$*e`$)Fet7$F]u$\"3yaJ]FN@X7Fas7$Fcu$ \"3[eW)*fW)*f>Fas7$Fhu$\"38*R\"\\*=yX\"HFas7$F]v$\"3U'Hd%=\"R;1%Fas7$F bv$\"3A]/,E?xl`Fas7$Fgv$\"3Cz&yFW@**z'Fas7$F\\w$\"3A/MMZ8,V$)Fas7$Faw$ \"3)H(\\Ny\\Ny**Fas7$Ffw$\"3y<6V?`Dp6F17$F[x$\"3sOs(pGruM\"F17$F`x$\"3 (*RQ[`!)eJ:F17$Fex$\"3oqC'3Zi3s\"F17$Fjx$\"3Gb2RiAn9>F17$F_y$\"3'yjw)) >#\\7@F17$Fdy$\"3LyZ,Td(QJ#F17$Fiy$\"37Z\"=\"G2W=DF17$F^z$\"3P!4EA5ees #F17$Fcz$\"3wpE@PH%e$HF17$Fhz$\"3+Mj#zBZ\"[JF17$F][l$\"3=6Tb7TbiLF1Fb[ l7#-F(6$7S7$F,$!3M+,,,,,w6Fgq7$F3$!3S)*Q$G:Ln;\"Fgq7$F9$!3ub$!35@?#o>Uh:\"Fgq7$FC$!35\"zHbE>j:\"Fgq7$FH$!37*4vY/d;;\"Fgq7$FM$ !3Gc%zT=_R<\"Fgq7$FR$!3U,$fW?bf>\"Fgq7$FW$!3v\"y1@y1@B\"Fgq7$Ffn$!3/81 53f3!H\"Fgq7$F[o$!3S1.CBdX%Q\"Fgq7$F`o$!3#o*)))>#4rY:Fgq7$Feo$!3)Q```` `.'=Fgq7$Fjo$!3mq1tTX'fk#Fgq7$F_p$!3k.%[rS['>uFgq7$Fdp$\"3\"[5)=TU6#F17$Fcq$!3s'**)*)*)*)*['GF 17$Fiq$!3F9)zzzH#HIFgq7$F^r$\"3:^(=!f(=!4!)F17$Fcr$\"3+1^'>uG3>$F17$Fh r$\"3;Q#)fp3ll;F17$F]s$\"3ue+Ml(fq<*FasFbs7$Fgs$\"3CIuvp&3qh#Fas7$F\\t $\"3U'HHV5W#[8Fas7$Fat$\"3!3c*)fc*)fJ)Fet7$Fgt$\"3V*GA@n*QA&)Fet7$F]u$ \"3%z5))pX!zs7Fas7$Fcu$\"3z[KX]KX+?Fas7$Fhu$\"3-QmaH>&)pHFas7$F]v$\"36 1c,Z#zL8%Fas7$Fbv$\"3ogbQK?UbaFas7$Fgv$\"3Mm8)e^Q(3pFas7$F\\w$\"3U!)Q; 1U4s%)Fas7$Faw$\"3Din'GwmG,\"F17$Ffw$\"3_-/,%\\%\\'=\"F17$F[x$\"3OQ*\\ :]$*pO\"F17$F`x$\"35fz*Q/gMb\"F17$Fex$\"3/XP9XP9XF17$F_y$\"3=`K[6kuT@F17$Fdy$\"3%e*QMoMoXBF17$Fiy$\"3e'GJT'4%Gb#F17$F^ z$\"3)p4#4:i)Gw#F17$Fcz$\"3m$Qv(*4Jb(HF17$Fhz$\"3aHr6(zC0>$F17$F][l$\" 3f0zk2zk2MF1Fb[l7#-F(6$7S7$F,$!3qGHHHHz\">\"Fgq7$F3$!35S)>Z.\"[#=\"Fgq 7$F9$!33>@\"=egc<\"Fgq7$F>$!3Qfbst6(><\"Fgq7$FC$!3/hK3)y$Hs6Fgq7$FH$!3 Y38?lt(y<\"Fgq7$FM$!3+3ek**[b!>\"Fgq7$FR$!3aOqH.J887Fgq7$FW$!3q*HW,IW, D\"Fgq7$Ffn$!3X3wU4wU48Fgq7$F[o$!3[GoO'*H&eS\"Fgq7$F`o$!3aQIR$H&er:Fgq 7$Feo$!3i!>>>>>>*=Fgq7$Fjo$!3YH*G&RwO%p#Fgq7$F_p$!3UojSrjSrvFgq7$Fdp$ \"3W80[>0[>QFgq7$Fip$\"3T1_____-&*F17$F^q$\"3I+-2eZ_.BF17$Fcq$!3'Hrqqq qqq#F17$Fiq$!3_Tgkx;M')HFgq7$F^r$\"3?d\\#R'\\#R'zF17$Fcr$\"3[u#4\"HZl$ =$F17$Fhr$\"3?!)*z2>kWm\"F17$F]s$\"3'*ej(R'Q4w\"*FasFbs7$Fgs$\"3*e\"[V **>_^?%Fas7$Fbv$\"3Mt1wQ?2XbFas7$Fgv$\"3W`T)*)ebv,(Fa s7$F\\w$\"3jcV)\\1x6g)Fas7$Faw$\"3UF!)*y-)*y-\"F17$Ffw$\"3Z(o*enOt.7F1 7$F[x$\"3eRE7;d^'Q\"F17$F`x$\"3Cy?JM?Lv:F17$Fex$\"3=>]U>]UpF17$F_y$\"3[o)*3C1+r@F17$Fdy$\"3!Q,tc>\"\\xBF17$Fiy$\"3g DW9+7C(e#F17$F^z$\"3o-\"ezK9**z#F17$Fcz$\"3c(4QBE>_,$F17$Fhz$\"36DzIcB !HB$F17$F][l$\"3!4qTFqTFX$F1Fb[l7#-F(6$7S7$F,$!3!pvvvvvv?\"Fgq7$F3$!3i \"y0m\"*G#)>\"Fgq7$F9$!3U#[K*H(>9>\"Fgq7$F>$!3m(4H1:+y=\"Fgq7$FC$!3!3t O1Jo#)=\"Fgq7$FH$!3E\"Fgq7$FM$!3tf@6:w:27Fgq7$FR$!3KrZ8-5JI7F gq7$FW$!3#y\"=====o7Fgq7$Ffn$!3(Qga2Jp(G8Fgq7$F[o$!3d]L\\p-DF9Fgq7$F`o $!3W!=(zk'fkf\"Fgq7$Feo$!3-Z[[[[[B>Fgq7$Fjo$!3(*)=FttqFu#Fgq7$F_p$!3=L VmNV;BxFgq7$Fdp$\"3'oWXXX&z5RFgq7$Fip$\"3%Rx\"=====)*F17$F^q$\"3#oeN!G $3G\\#F17$Fcq$!3UJCCCCC\\DF17$Fiq$!3RoAJdNXVHFgq7$F^r$\"3Mi6$)o6$)=zF1 7$Fcr$\"3'QW`ir![wJF17$Fhr$\"3CA<'>^xKm\"F17$F]s$\"3ShEhiz7v\"*FasFbs7 $Fgs$\"3b,A6Ha.=EFas7$F\\t$\"3)*\\PUuoka8Fas7$Fat$\"3+LsURsU*[)Fet7$Fg t$\"3wtD5x-**f))Fet7$F]u$\"3*R,efJWzK\"Fas7$Fcu$\"3UH3RJ3R\"3#Fas7$Fhu $\"3y:rl4%*R!3$Fas7$F]v$\"3;FA8/&foF%Fas7$Fbv$\"3z$yN^/AZj&Fas7$Fgv$\" 3lTp3iEPErFas7$F\\w$\"32N[!Q#*f-t)Fas7$Faw$\"3:#HHHHHH/\"F17$Ffw$\"3Us *o6%G(4A\"F17$F[x$\"3+T`pIz.19F17$F`x$\"3;(>EZ-/sf\"F17$Fex$\"3u$H1PH1 Pz\"F17$Fjx$\"37zF;EP!\\*>F17$F_y$\"3\"Q['pO[D+AF17$Fdy$\"3LJ@+B*)H4CF 17$Fiy$\"3ikv:O9k@EF17$F^z$\"3H4T#3WUp$GF17$Fcz$\"3Y63!\\U2\\0$F17$Fhz $\"35@()\\:*z_F$F17$F][l$\"3u&\\Ny\\Ny\\$F1Fb[l7#-F(6$7S7$F,$!3G&eeeee LA\"Fgq7$F3$!38B<\\)zwR@\"Fgq7$F9$!3wXG0y)yr?\"Fgq7$F>$!3$fjKv7HO?\"Fg q7$FC$!3t+->LGC/7Fgq7$FH$!3DEPD1!=.@\"Fgq7$FM$!3#=^y0LgPA\"Fgq7$FR$!35 1D(4!*)[Z7Fgq7$FW$!3wN$>iL>iG\"Fgq7$Ffn$!3I*f\"3756[8Fgq7$F[o$!3%G()>E aZ'[9Fgq7$F`o$!3NA8?OSL@;Fgq7$Feo$!3y.00000b>Fgq7$Fjo$!3wZa7NQ<\"z#Fgq 7$F_p$!3'zHA**HA\\(yFgq7$Fdp$\"37$Q5'*Q5@+%Fgq7$Fip$\"3hLQQQQQ85Fgq7$F ^q$\"3ev4+)*=4#o#F17$Fcq$!3kZTTTTT\"R#F17$Fiq$!3M'\\ypVl0!HFgq7$F^r$\" 3[nttttttyF17$Fcr$\"3y7wR.nIpJF17$Fhr$\"3ukM9L34i;F17$F]s$\"3si*[71iT< *FasFbs7$Fgs$\"3l'e*ye)[&=EFas7$F\\t$\"3ww4Zf#[yN\"Fas7$Fat$\"3;rg9wg9 w&)Fet7$Fgt$\"3`9Ffz0zG!*Fet7$F]u$\"3gmHWX7_b8Fas7$Fcu$\"3H?'f=if=7#Fa s7$Fhu$\"3naBr\\JnNJFas7$F]v$\"3SP0pK'*f[VFas7$Fbv$\"3M&*3^^?PCdFas7$F gv$\"3vG(*=N(*=NsFas7$F\\w$\"3G6`i#yU$f))Fas7$Faw$\"3Kd0'zbgz0\"F17$Ff w$\"3gd#[Z,7#Q7F17$F[x$\"3UU!o_9gbU\"F17$F`x$\"32;.9:g2>;F17$Fex$\"3*y c()zc()z\"=F17$Fjx$\"3a?,UZvk@?F17$F_y$\"37*4.$\\!4&HAF17$Fdy$\"3&)[7L ]m5TCF17$Fiy$\"33/2$!3AuhV/\"e%>7Fgq7$ FC$!3nqOubt@?7Fgq7$FH$!3CN*znKQlA\"Fgq7$FM$!3Oj[/YIOS7Fgq7$FR$!3/T-\") *zmYE\"Fgq7$FW$!3p`oDaoD/8Fgq7$Ffn$!3s%f3Mr_uO\"Fgq7$F[o$!3u%RYd\"[/q9 Fgq7$F`o$!33kag2%3ik\"Fgq7$Feo$!3=ghhhhh')>Fgq7$Fjo$!3#pqBH$pdRGFgq7$F _p$!3*)f-=k-oE!)Fgq7$Fdp$\"3a;`nC`U$4%Fgq7$Fip$\"3,!\\\\\\\\\\\\/\"Fgq 7$F^q$\"37ij'zYv8(GF17$Fcq$!3cmeeeeeLAF17$Fiq$!3eBZk;tndGFgq7$F^r$\"3j sNkyNkGyF17$Fcr$\"3q\"yT0pK@;$F17$Fhr$\"3+2_KaT!4m\"F17$F]s$\"3;l_))fh >t\"*FasFbs7$Fgs$\"3wrpY)Gi!>EFas7$F\\t$\"3#Q?=Xk\\5O\"Fas7$Fat$\"3'z! \\'G\"\\'Gm)Fet7$Fgt$\"3ocG3#)3f(>*Fet7$F]u$\"3[>z#\\<)4$Q\"Fas7$Fcu$ \"3M5%GBTGB;#Fas7$Fhu$\"3c$fn(*)o%4>$Fas7$F]v$\"34Z)[7wR.U%Fas7$Fbv$\" 3z0g)y0AS\"eFas7$Fgv$\"3u9DH3o+WtFas7$F\\w$\"3[(yX9kD%))*)Fas7$Faw$\"3 GA=*H#=*H2\"F17$Ffw$\"3KUvK)=^aD\"F17$F[x$\"3%QuS)fB3X9F17$F`x$\"3@NWb 0![4k\"F17$Fex$\"3-U)oA%)oA%=F17$Fjx$\"3'>Yx'o8R[?F17$F_y$\"3+9(4>Ej(e AF17$Fdy$\"3Qm.mxV\"HZ#F17$Fiy$\"33VQ=3>W!p#F17$F^z$\"3h@hbm')*4\"HF17 $Fcz$\"3$)Qi-]PGMJF17$Fhz$\"3m7.)Q.N+O$F17$F][l$\"3!f3B!)3B!)e$F1Fb[l7 #-F(6$7S7$F,$!3oTUUUU#\\D\"Fgq7$F3$!3M1OEiDZX7Fgq7$F9$!3jsNHurpQ7Fgq7$ F>$!3]7(R83(GN7Fgq7$FC$!3hSrHy=>O7Fgq7$FH$!3TWhIZ'eFC\"Fgq7$FM$!3E:7^h d'pD\"Fgq7$FR$!3+wzk)pW=G\"Fgq7$FW$!3\"=P%HsVHA8Fgq7$Ffn$!39!fNZT%z'Q \"Fgq7$F[o$!3#o\"H())3U9\\\"Fgq7$F`o$!3!eg4!zF3r;Fgq7$Feo$!3#p\"====== ?Fgq7$Fjo$!33m>sI+)z)GFgq7$F_p$!3mC#Q%G#Q%y\")Fgq7$Fdp$\"3#GDS(f-u%=%F gq7$Fip$\"3wY^^^^^w5Fgq7$F^q$\"3U]<$z.f11$F17$Fcq$!3!Geddddd2#F17$Fiq$ !3#3&4J'>*y9GFgq7$F^r$\"3yx(\\Ny\\Ny(F17$Fcr$\"3i]fox'e\\:$F17$Fhr$\"3 E\\p]vurf;F17$F]s$\"3gn:_e-Bs\"*FasFbs7$Fgs$\"3TdV9=dd>EFas7$F\\t$\"3) 3Vl&H5Dk8Fas7$Fat$\"39YPe\\Pe\\()Fet7$Fgt$\"3'))*Hd%=\"Rm$*Fet7$F]u$\" 3ksGT/^n59Fas7$Fcu$\"3$4?(z-sz-AFas7$Fhu$\"3WKG#)H1AYKFas7$F]v$\"3)y:2 )*))z?\\%Fas7$Fbv$\"3Y=6Ek?n.fFas7$Fgv$\"3%HI&R\")Q#GX(Fas7$F\\w$\"3\" fEm-]3v6*Fas7$Faw$\"3W(3B!)3B!)3\"F17$Ffw$\"3GFo!>O!ps7F17$F[x$\"3GXMT uXgk9F17$F`x$\"37a&of**>Gm\"F17$Fex$\"3Q;,b;,bm=F17$Fjx$\"3%H![$**=N^2 #F17$F_y$\"3wHj^uu,)G#F17$Fdy$\"3L%[*)\\5AZ]#F17$Fiy$\"3c#)p>W@%[s#F17 $F^z$\"3KF@Uzn-[HF17$Fcz$\"3s_*)e7>(R<$F17$Fhz$\"3A362$f7CS$F17$F][l$ \"3>\")o6$)o6LOF1Fb[l7#-F(6$7S7$F,$!3))pqqqqqq7Fgq7$F3$!3/[&\\TW?7E\"F gq7$F9$!3)f$RTAjXa7Fgq7$F>$!3'4DV#eg6^7Fgq7$FC$!3c51&3Sm@D\"Fgq7$FH$!3 S`B$y'*y*e7Fgq7$FM$!3=nv(pZoNF\"Fgq7$FR$!3w5d[(fA!*H\"Fgq7$FW$!3w*)=L! *=LS8Fgq7$Ffn$!3b&eig6OhS\"Fgq7$F[o$!34R%**>ORG^\"Fgq7$F`o$!3)yu8/:dfp \"Fgq7$Feo$!3'HZZZZZ(\\?Fgq7$Fjo$!3BD-_GJQOHFgq7$F_p$!3V*='p#>'>I$)Fgq 7$Fdp$\"3Q)=0[>bgF%Fgq7$Fip$\"3)H!3333336Fgq7$F^q$\"3uQr*ygU*\\KF17$Fc q$!3D,$HHHHz\">F17$Fiq$!3qxr(f2,>x#Fgq7$F^r$\"3/#)fX))fXQxF17$Fcr$\"3a >,$[m%yZJF17$Fhr$\"3I\"p)o'zI&e;F17$F]s$\"3-qy:dVEr\"*FasFbs7$Fgs$\"32 V<#y9*3?EFas7$F\\t$\"3QdEh9CXn8Fas7$Fat$\"3`\"e-je-j$))Fet7$Fgt$\"3,TJ 1([\">N&*Fet7$F]u$\"3_Dy*Q._#Q9Fas7$Fcu$\"3C\"*fE$*fEVAFas7$Fhu$\"3Kr! y)pV\\,LFas7$F]v$\"39oaO=+#Qc%Fas7$Fbv$\"3+Iijq?K$*fFas7$Fgv$\"3/!4)\\ a4khvFas7$F\\w$\"37Un3f8fY#*Fas7$Faw$\"3=_V0`V0.6F17$Ffw$\"3A7h[N&H**G \"F17$F[x$\"3qYh)*)yET[\"F17$F`x$\"3-tEQ')>p%o\"F17$Fex$\"3]!RJ3RJ3*=F 17$Fjx$\"3QW@>6!z=5#F17$F_y$\"32XH7(orsJ#F17$Fdy$\"3&=g=B$)Hl`#F17$Fiy $\"3e@,@!QU#fFF17$F^z$\"3[L\")G#*[0&)HF17$Fcz$\"3jm;:v+m8KF17$Fhz$\"3x .>E_,zWMF17$F][l$\"3/w1@y1@yOF1Fb[l7#-F(6$7S7$F,$!3E)*)*)*)*)*['G\"Fgq 7$F3$!3c*[NgKopF\"Fgq7$F9$!3]*HM0Z:-F\"Fgq7$F>$!33*yY^.XpE\"Fgq7$FC$!3 ]!3/M#49o7Fgq7$FH$!3Qi&e$)G*>v7Fgq7$FM$!3!*=RW#>r,H\"Fgq7$FR$!3rXMK'\\ +iJ\"Fgq7$FW$!3)ySp$3%p$e8Fgq7$Ffn$!3(4e*Q[)Fgq7$Fdp$\"3]A,()H,PnVFgq7$Fip$\"3QfkkkkkR6Fgq7$F^q$\" 3FDD'yi Lp(F17$Fcr$\"3!*)Gu>l519$F17$Fhr$\"3cL/(y6Wtl\"F17$F]s$\"3OrTzb%)Hq\"* FasFbs7$Fgs$\"3sG\"*\\xDg?EFas7$F\\t$\"3U%))f'*z`1P\"Fas7$Fat$\"3K=9-B 9-B*)Fet7$Fgt$\"3=$G`&*y\"*Rq*Fet7$F]u$\"3oyFQj*GeY\"Fas7$Fcu$\"3%=yMP yMPG#Fas7$Fhu$\"3?5L$*4\"onN$Fas7$F]v$\"3#yxBp9gbj%Fas7$Fbv$\"3cT8,x?( H3'Fas7$Fgv$\"3Cy3gF!e/n(Fas7$F\\w$\"3W>s!z@ucP*Fas7$Faw$\"3NF17$Fjx$\"3!e[\\C$GiG@F17$F_y$\"3Qg&H(**e_YBF17$Fdy$ \"3Q>xkfvLoDF17$Fiy$\"3/hKA;Ek$z#F17$F^z$\"3jRT:0I3AIF17$Fcz$\"3a!Q9xB [LD$F17$Fhz$\"3y*p_9rnr[$F17$F][l$\"3MrWItWIBPF1Fb[l7#-F(6$7S7$F,$!3jE FFFFF-8Fgq7$F3$!33J9#z?;FH\"Fgq7$F9$!3%Gma'=Y(fG\"Fgq7$F>$!3aF.07Sx#G \"Fgq7$FC$!3E]v&fW:TG\"Fgq7$FH$!3OrZ))3'>9H\"Fgq7$FM$!3zq-\"z!Rx18Fgq7 $FR$!3n!=h^RyLL\"Fgq7$FW$!3#e#pSEpSw8Fgq7$Ffn$!3Rwlr=&>[W\"Fgq7$F[o$!3 G$[_#3Rjb:Fgq7$F`o$!3MJ?A$*eqXoWE)ySC8F17$F[x$\"3K\\:8=7F17$Fjx$\"3yEoq`mOb@F17$F_y$\"3qvhL7,yvBF17$Fdy$\"3*o$ o(pGX,g#F17$Fiy$\"31+kB_G/GGF17$F^z$\"3!e9?!=66fIF17$Fcz$\"3U%4x-SOIH$ F17$Fhz$\"3L&\\V1FX&HNF17$F][l$\"3km#)Ro#)RoPF1Fb[l7#-F(6$7S7$F,$!3$[b bbbb!=8Fgq7$F3$!3xst!)*3k%38Fgq7$F9$!3NE]xmPt,8Fgq7$F>$!3klQ&*))Hg)H\" Fgq7$FC$!3>?5^o**3+8Fgq7$FH$!3`!)4TH*RwI\"Fgq7$FM$!3qAmPBmPB8Fgq7$FR$! 3W:*)*RHc0N\"Fgq7$FW$!3wVWWWWW%R\"Fgq7$Ffn$!3#=dV+AhTY\"Fgq7$F[o$!3O0! z8=Jqd\"Fgq7$F`o$!31thik-eqU#f \"3$Fgq7$F_p$!3M#3qa3qay)Fgq7$Fdp$\"3?#***********\\XFgq7$Fip$\"3Nsxxx xx-7Fgq7$F^q$\"3*=I$zF17$Fjx$\"3?oT'\\Z5@=#F17$F_y$\"3Y\"zU\\KM]S #F17$Fdy$\"3IbfI9I&>j#F17$Fiy$\"33R&\\#)3VC'GF17$F^z$\"3%>:')3BRh4$F17 $Fcz$\"3L3)RGcCFL$F17$Fhz$\"3)3HM)HG#>d$F17$F][l$\"30h?\\j?\\8QF1Fb[l7 #-F(6$7S7$F,$!3?$QQQQQQL\"Fgq7$F3$!3H9Lpr>@C8Fgq7$F9$!3p*Q&*[\"H\\<8Fg q7$F>$!35/u&e'>V98Fgq7$FC$!38!\\k5\\kgJ\"Fgq7$FH$!3_*=P*\\-'QK\"Fgq7$F M$!3DuH%)Q$z*R8Fgq7$FR$!3S]m$G>MxO\"Fgq7$FW$!3(='>[i>[79Fgq7$Ffn$!3Cn0 P@H]$[\"Fgq7$F[o$!3iFb]a%G%)f\"Fgq7$F`o$!3y9..OYX&z\"Fgq7$Feo$!3i*4555 5g<#Fgq7$Fjo$!38hKr>b**HJFgq7$F_p$!35Z!G(\\!Gs$*)Fgq7$Fdp$\"3uF\\1N\\J TYFgq7$Fip$\"3vGMMMMMM7Fgq7$F^q$\"3?!pex)o22SF17$Fcq$!3mohhhhh'G\"F17$ Fiq$!3O(3UYf[.g#Fgq7$F^r$\"3u,33333evF17$Fcr$\"3A&z1Mh)3>JF17$Fhr$\"39 gcT\"3%y`;F17$F]s$\"3WwIq^2Sn\"*FasFbs7$Fgs$\"3f%GJl'G9AEFas7$F\\t$\"3 1l:![&zD!Q\"Fas7$Fat$\"3oGzN'Fas7$Fgv$\"3_R#4pC4p*zFas7$F\\w$\"3=\\'oVz AHw*Fas7$Faw$\"3U7%zJTzJ;\"F17$Ffw$\"3-_K!)Hi))e8F17$F[x$\"3S_pFZc@i:F 17$F`x$\"39\\\"R![*z@x\"F17$Fex$\"3s([cz[cz)>F17$Fjx$\"3k4:A'Ha)3AF17$ F_y$\"3L1%\\v`)GMCF17$Fdy$\"3#G2N;ugPm#F17$Fiy$\"3ayEECL%o*GF17$F^z$\" 36e@vVt;LJF17$Fcz$\"3!=_-as7CP$F17$Fhz$\"3)o3D!*Q+Vh$F17$F][l$\"3yceee eeeQF1Fb[l7#-F(6$7S7$F,$!3A67777i\\8Fgq7$F3$!3!eDzN&)f*R8Fgq7$F9$!3.`d ,j?DL8Fgq7$F>$!3?U4wU4EI8Fgq7$FC$!32gzh8!R?L\"Fgq7$FH$!3])Rj/d!3S8Fgq7 $FM$!3ME$4V0#ec8Fgq7$FR$!3;&Qu;47\\Q\"Fgq7$FW$!3#)z%>0[>0V\"Fgq7$Ffn$! 3livpAY%G]\"Fgq7$F[o$!3N\\?jFd#)>;Fgq7$F`o$!3(oXMu+H.#=Fgq7$Feo$!3-cdd ddd2AFgq7$Fjo$!3+@:^<')RyJFgq7$F_p$!3)=,')R,')*)3*Fgq7$Fdp$\"3(=')H,() HEt%Fgq7$Fip$\"3)\\34444fE\"Fgq7$F^q$\"3%\\2CxXgj>%F17$Fcq$!36()yyyyyG 6F17$Fiq$!3E9$3VZgub#Fgq7$F^r$\"3*o+()H,()H^(F17$Fcr$\"3ek4b+Y\">6$F17 $Fhr$\"3i-uf-uf_;F17$F]s$\"3))y$R.&[Vm\"*FasFbs7$Fgs$\"3Cq'3iHcEi#Fas7 $F\\t$\"3%=z[)R$fMQ\"Fas7$Fat$\"3)ow'*)pn*)p#*Fet7$Fgt$\"3/&Q^**H>z.\" Fas7$F]u$\"3]!fA8oOhd\"Fas7$Fcu$\"3QV*4c%*4cW#Fas7$Fhu$\"3=lU:qI'yd$Fa s7$F]v$\"3\")=q:h1_A\\Fas7$Fbv$\"3p'y6D5s:W'Fas7$Fgv$\"3kE?,?js0\")Fas 7$F\\w$\"3sG\"*=`c+#*)*Fas7$Faw$\"3Ox1@y1@y6F17$Ffw$\"3'p`#Q.a7w8F17$F [x$\"3O`'\\='yt\"e\"F17$F`x$\"3/oKXQ>0%z\"F17$Fex$\"32ixBixB7?F17$Fjx$ \"3i])yu6)fNAF17$F_y$\"35Ag:]FajCF17$Fdy$\"3K!>k*o%obp#F17$Fiy$\"3cqJF17$Fcz$\"3qN_'z)357MF17$Fhz$\"3W#)e@[zncOF 17$F][l$\"3?^'zOlzO!RF1Fb[l7#-F(6$7S7$F,$!3gRSSSSSl8Fgq7$F3$!3](>lat2d N\"Fgq7$F9$!3Q;h867,\\8Fgq7$F>$!3m![k'>**3Y8Fgq7$FC$!3-I90[%R#[Fgq7$Fip$\"3sTZZZZZ(H\"Fgq7$F^q$\"3Ej%*oFSk&Q%F17$Fcq$! 3hMgffff4(*Fas7$Fiq$!3\\TX(RNsX^#Fgq7$F^r$\"3/7K*y@$*yY(F17$Fcr$\"3]L^ p(eSZ5$F17$Fhr$\"3)[9zPs59l\"F17$F]s$\"35zc(*[*oa;*FasFbs7$Fgs$\"3!f0' )espJi#Fas7$F\\t$\"3i=g*[sgmQ\"Fas7$Fat$\"3G-ch1chc$*Fet7$Fgt$\"3S*R+- L*za5Fas7$F]u$\"3QVv!3h8Pg\"Fas7$Fcu$\"3EM(ygtyg[#Fas7$Fhu$\"3j/&4-\"o 8LOFas7$F]v$\"3gH`r*ygU*\\Fas7$Fbv$\"3D)*o))3@AJlFas7$Fgv$\"3j7[6$RVX@ )Fas7$F\\w$\"3Qg4?^)3@+\"F17$Faw$\"3aU>CV>C$>\"F17$Ffw$\"3o@='pdkLR\"F 17$F[x$\"3zaBUw+E,;F17$F`x$\"3'pQn)GR#f\"=F17$Fex$\"3VO!>l.>l.#F17$Fjx $\"31#>O(Q>MiAF17$F_y$\"3'pjiF'pz#\\#F17$Fdy$\"3I3LH'>wts#F17$Fiy$\"3- d*)G'zVc'HF17$F^z$\"3UqT[pNA2KF17$Fcz$\"3;\\z_]!*y^MF17$Fhz$\"3UymS2b0 *p$F17$F][l$\"3]YMx[Mx[RF1Fb[l7#-F(6$7S7$F,$!3!y'oooo=\"Q\"Fgq7$F3$!3- R6N$!3'*=!ol*)=>O\"Fgq7$FC$!3%***[se!) )RO\"Fgq7$FH$!3m;e^67_s8Fgq7$FM$!3yH?C&[(y*Q\"Fgq7$FR$!31b)\\$*)yE>9Fg q7$FW$!31;Xf;Xfm9Fgq7$Ffn$!3\\`:ND!G:a\"Fgq7$F[o$!3a$4&)QF?Em\"Fgq7$F` o$!3KSFC]x2q=Fgq7$Feo$!3#)oqqqqqqAFgq7$Fjo$!3gQ!3J\"[?vKFgq7$F_p$!3eQ> ]U>]#R*Fgq7$Fdp$\"3)Htf-uf_\"\\Fgq7$Fip$\"37)RSSSS!H8Fgq7$F^q$\"3e^[l( fF\\d%F17$Fcq$!3J?KJJJJJ\")Fas7$Fiq$!3Wp2kLUorCFgq7$F^r$\"3=<%*zA%*zAu F17$Fcr$\"3U-$R[dmv4$F17$Fhr$\"3;()3'\\/C-l\"F17$F]s$\"3a\")>hZI]k\"*F asFbs7$Fgs$\"3+TMcbJoBEFas7$F\\t$\"3QXK%*4@')*Q\"Fas7$Fat$\"31RWLVWLV% *Fet7$Fgt$\"3[8%\\/Oz;2\"Fas7$F]u$\"3)f\\#HS0HJ;Fas7$Fcu$\"3,CvaEvaEDF as7$Fhu$\"3]VZE]0T)o$Fas7$F]v$\"3')ROF=4+m]Fas7$Fbv$\"3#4,i_6s3i'Fas7$ Fgv$\"3%3gfzP=F17$Fex$\"3y5.!3J+31 #F17$Fjx$\"3[LN**fd3*G#F17$F_y$\"3F_#p`<^?_#F17$Fdy$\"3#eUAO#R=fFF17$F iy$\"3\\'4-B.W++$F17$F^z$\"3ew,N#o^UC$F17$Fcz$\"3%Rm!48sZ\"\\$F17$Fhz$ \"3*RZ(fmIVTPF17$F][l$\"3MTs'QCnQ*RF1Fb[l7#-F(6$7S7$F,$!3='ppppppR\"Fg q7$F3$!3s!3P#*\\.sQ\"Fgq7$F9$!3UVoP2&H0Q\"Fgq7$F>$!3Cd:Ztyux8Fgq7$FC$! 3ap$y7ei*z8Fgq7$FH$!3kD?/K:u)Q\"Fgq7$FM$!3o\"Q32?!R19Fgq7$FR$!3%)*e(=) yXkV\"Fgq7$FW$!3+M?jM?j%[\"Fgq7$Ffn$!3#*[&ymsp3c\"Fgq7$F[o$!3!eh6qac#R!4$F17$Fhr$\"3?HE9mt.\\;F17$F]s$\"3'GG[i9PN;*F asFbs7$Fgs$\"36E3C&e'>CEFas7$F\\t$\"3;s/*\\\\jIR\"Fas7$Fat$\"3YuK0!G`+ `*Fet7$Fgt$\"3aF%)p!Rf&)3\"Fas7$F]u$\"39\\uxpu')e;Fas7$Fcu$\"3;:j,.H%oVPFas7$F]v$\"3a\\>$o/Tx8&Fas7$Fbv$\"3O@rj@@_5nFa s7$Fgv$\"3%zQ?$Rv$!3_&4v .&od$R\"Fgq7$FC$!3YR=$Q5PfR\"Fgq7$FH$!3jM#oD&='\\S\"Fgq7$FM$!3TLZ<;H*H U\"Fgq7$FR$!3iC`-(oBOX\"Fgq7$FW$!36_&pEbpE]\"Fgq7$Ffn$!3MWb+G9@!e\"Fgq 7$F[o$!30Q\"Q,#[T0>Fgq7$Feo$!3'>QQQQQQL#Fgq7$Fjo $!3!pb/(35,sLFgq7$F_p$!37oy,ry,'p*Fgq7$Fdp$\"3m-'*Q5'*)y4&Fgq7$Fip$\"3 36<<<<<#R\"Fgq7$F^q$\"3?GcePZ\\`\\F17$Fcq$!3'*ovuuuuu\\Fas7$Fiq$!3#RAt H*z!fQ#Fgq7$F^r$\"3ZF=hK=hKtF17$Fcr$\"3qSw7\\&=K3$F17$Fhr$\"3YrVK(o]yk \"F17$F]s$\"3I&e%)[CrD;*FasFbs7$Fgs$\"3w6#=\\,5Zi#Fas7$F\\t$\"3%*)pP+) [E'R\"Fas7$Fat$\"3')4@x;@x;'*Fet7$Fgt$\"3\">WZ4URa5\"Fas7$F]u$\"3--CE* RWko\"Fas7$Fcu$\"3?0^[2^[2EFas7$Fhu$\"3#=Av..e*)z$Fas7$F]v$\"3Mg-Rv6[4 _Fas7$Fbv$\"3.MA,G@<+oFas7$Fgv$\"39wJU7Y*4a)Fas7$F\\w$\"3O.r%)3P$3/\"F 17$Faw$\"3SPdLQdLQ7F17$Ffw$\"3aw'*p(4#3X9F17$F[x$\"3If/9?n#)f;F17$F`x$ \"3#Ru4,!*R:)=F17$Fex$\"30fGOfGO4@F17$Fjx$\"3)e@3DStDM#F17$F_y$\"3!H[# e+'f0e#F17$Fdy$\"3'3m!Gy$*zAGF17$Fiy$\"3_u$GV]W)oIF17$F^z$\"3!*)=#33zI =LF17$Fcz$\"3'34;#QN&3d$F17$Fhz$\"3al!z\\=)=EQF17$F][l$\"3]J[0M[0%3%F1 Fb[l7#-F(6$7S7$F,$!3v_`````G9Fgq7$F3$!3cj*3IE*p=9Fgq7$F9$!35qvh.y/79Fg q7$F>$!3zL'ys#eS49Fgq7$FC$!3T4`QE;\">T\"Fgq7$FH$!3zVW4t@=@9Fgq7$FM$!3J &3T;j&fR9Fgq7$FR$!3ufI'ee,3Z\"Fgq7$FW$!30qqqqqq?:Fgq7$Ffn$!3uRDLHJb*f \"Fgq7$F[o$!3KgYE$47os\"Fgq7$F`o$!3'e;bW'3qW>Fgq7$Feo$!3sQSSSSSlBFgq7$ Fjo$!3N:G]1TT?MFgq7$F_p$!3[JeFNexZ)*Fgq7$Fdp$\"3!o`aaa/#*=&Fgq7$Fip$\" 3\\ntttttB9Fgq7$F^q$\"3&H,^vIyF9&F17$Fcq$!3MJZYYYY'R$Fas7$Fiq$!3!3XRE( )>IM#Fgq7$F^r$\"3iK!=v.=vG(F17$Fcr$\"3i4=FOX/wIF17$Fhr$\"3%R61&3SmY;F1 7$F]s$\"3u()3_V`gh\"*FasFbs7$Fgs$\"3U(f&fWMADEFas7$F\\t$\"3sD\\3liY*R \"Fas7$Fat$\"3U\\4\\`4\\.(*Fet7$Fgt$\"3)fX'>^%>B7\"Fas7$F]u$\"3>btuG8- 9u`5 F17$Faw$\"3e-qO.qO`7F17$Ffw$\"3sh*y7F@BY\"F17$F[x$\"3qgJrM*[$z;F17$F`x $\"31jQ_!*=T.>F17$Fex$\"3TLTkLTkL@F17$Fjx$\"3IdbwBsJpBF17$F_y$\"3m)4*= 8Q\")4EF17$Fdy$\"3#)y(4c52Y&GF17$Fiy$\"3*R^T.uWK5$F17$F^z$\"31&>[4-O`N $F17$Fcz$\"3w/)y2qT0h$F17$Fhz$\"3?g)pTul&oQF17$F][l$\"3NE'[\"H'[\"HTF1 Fb[l7#-F(6$7S7$F,$!3x!=====VW\"Fgq7$F3$!330\\*[9ZWV\"Fgq7$F9$!3iLzt^p! yU\"Fgq7$F>$!33s@=/[BD9Fgq7$FC$!3Nz(Q*[h)yU\"Fgq7$FH$!3y_1i$\\-uV\"Fgq 7$FM$!3APu5Z$)>c9Fgq7$FR$!3_%z+Z[zz[\"Fgq7$FW$!3<)eW()eW(Q:Fgq7$Ffn$!3 *\\`f1$[*)=;Fgq7$F[o$!3)==\"Rm$4#[Fgq7$Feo$!35&p pppppR#Fgq7$Fjo$!3Av5I/s\")oMFgq7$F_p$!3C'zL&*zL&****Fgq7$Fdp$\"3Os%>0 [>0G&Fgq7$Fip$\"3qBIIIIIb9Fgq7$F^q$\"3E,k^x=1K`F17$Fcq$!3K<>======Fas7 $Fiq$!3.ycI_<8+BFgq7$F^r$\"3)oBCCCCCC(F17$Fcr$\"35yfTB0()oIF17$Fhr$\"3 )f&yoHtZX;F17$F]s$\"3=!>d@WR1;*FasFbs7$Fgs$\"33$)HFuotDEFas7$F\\t$\"3] _@8]wm-9Fas7$Fat$\"3#[y4-z4-z*Fet7$Fgt$\"3MqaW\"[*>R6Fas7$F]u$\"323BBe #)fT61G]m 1\"F17$Faw$\"3_n#)Ro#)Ro7F17$Ffw$\"3YY#e[Wg&z9F17$F[x$\"3!>'eG\\6())p \"F17$F`x$\"3(>)z$4)QGD>F17$Fex$\"3y2a#zSDz:#F17$Fjx$\"3G)*G-X51'R#F17 $F_y$\"3)Rr&zD!o!REF17$Fdy$\"3M'*)QH$[T')GF17$Fiy$\"3+`YNw\\kPJF17$F^z $\"3?,U\"Q8kBR$F17$Fcz$\"37>:Mj)H-l$F17$Fhz$\"3@c1O.L%4\"RF17$F][l$\"3 ?@CCCCCuTF1Fb[l7#-F(6$7S7$F,$!3;455555g9Fgq7$F3$!3yY3yE]>]9Fgq7$F9$!3' pHe)*4mNW\"Fgq7$F>$!3a5d3\"yj5W\"Fgq7$FC$!3G\\A\\r1'QW\"Fgq7$FH$!3who9 9Gi`9Fgq7$FM$!3w)ytD1,GZ\"Fgq7$FR$!3YH&QNQd^]\"Fgq7$FW$!371@y1@yc:Fgq7 $Ffn$!3TIl)>`O#Q;Fgq7$F[o$!39/x^RmgpFgq7$Feo$! 3'=NNNNN&GCFgq7$Fjo$!3OM$*4-.A(>jVsD#Fgq7$F^r$\"3-U/LZ/L(>(F17$Fcr$\"3-Z,c5lph IF17$Fhr$\"3D)fp3l!HW;F17$F]s$\"3Q!\\$zSNnf\"*FasFbs7$Fgs$\"3=o.&RI]ii #Fas7$F\\t$\"3cz$z^.peS\"Fas7$Fat$\"3+B'GpiGp()*Fet7$Fgt$\"3c%[%p6&zg: \"Fas7$F]u$\"3ogsr(=v\"pl5c,ZU&Fas7$Fbv$\"3[mv8Z@7pqFas7$Fgv$\"3WP:tJeWn))Fas 7$F\\w$\"3cYK\\m&e&z5F17$Faw$\"3[K&HM`HMG\"F17$Ffw$\"3SJvV='*z'\\\"F17 $F[x$\"3Mj&eQO$R=F17$Fex$\"37#o1Ao1A=#F17$Fjx$\"3 sR-Gm[!GU#F17$F_y$\"3%)GBSQAKoEF17$Fdy$\"3&Q,o-cA#=HF17$Fiy$\"3Y#znB@X ?<$F17$F^z$\"3P2-oYARHMF17$Fcz$\"3+LU!f-=**o$F17$Fhz$\"3w^9bi3K`RF17$F ][l$\"3%p@O$>iL>UF1Fb[l7#-F(6$7S7$F,$!3_PQQQQ)eZ\"Fgq7$F3$!3I)ym'3H%fY \"Fgq7$F9$!3Ig'yzCD$f9Fgq7$F>$!3k[#*)zv#*oX\"Fgq7$FC$!3A>d/%>N)f9Fgq7$ FH$!3%42tY8V)p9Fgq7$FM$!3%39S!yPS*[\"Fgq7$FR$!31kiP#GNB_\"Fgq7$FW$!31C '>[i>[d\"Fgq7$Ffn$!3%e_8LByvl\"Fgq7$F[o$!3SEUk7R+\"z\"Fgq7$F`o$!3R\"fn 'yRK>?Fgq7$Feo$!3i355555gCFgq7$Fjo$!3_$f(*)*RBcc$Fgq7$F_p$!3Ws\\!G(\\I I5Fee`m7$Fdp$\"3/U$\\1N\\JY&Fgq7$Fip$\"3&oLMMMM%=:Fgq7$F^q$\"3)yafH<\"Fas7$F]u$\"3%Q@-s6_nz\"Fas7$Fcu$\"3-n-Op-OpFFas7$Fhu$\" 3#o<'f!*H0?SFas7$F]v$\"3K,Ni*oTk\\&Fas7$Fbv$\"39zE^`@xerFas7$Fgv$\"3kD V$[!HEw*)Fas7$F\\w$\"3G%HvB&oY#4\"F17$Faw$\"3k(zg%)zg%)H\"F17$Ffw$\"3N ;o,#zQS^\"F17$F[x$\"3xk7Vyb\"zt\"F17$F`x$\"3-?iwhy-p>F17$Fex$\"3/cz[cz [1AF17$Fjx$\"3q!ePvo[&\\CF17$F_y$\"3gW*35Xwvp#F17$Fdy$\"3EKrf(GI+&HF17 $Fiy$\"3[J4Q[aW1KF17$F^z$\"3a8iaf.UmMF17$Fcz$\"3ZYpY)=1'HPF17$Fhz$\"3w ZAu@%)p&*RF17$F][l$\"3!=,IW,IWE%F1Fb[l7#-F(6$7S7$F,$!3slmmmmm\"\\\"Fgq 7$F3$!3#)HFb!z!p\"[\"Fgq7$F9$!3kB!*4'R%3v9Fgq7$F>$!37(y#*[t@FZ\"Fgq7$F C$!3)*)=*f;(4eZ\"Fgq7$FH$!3#*z#*>bM1'[\"Fgq7$FM$!3Q#\\1N\\1g]\"Fgq7$FR $!3>**R@\"=8&R:Fgq7$FW$!3=Ur&G9dGf\"Fgq7$Ffn$!3E@0kM*>pn\"Fgq7$F[o$!3J [2x&=,C\"=Fgq7$F`o$!37L<2]$)>W?Fgq7$Feo$!3mkmmmmm\"\\#Fgq7$Fjo$!3'>&ep (\\ESh$Fgq7$F_p$!3yo2Bp2[X5Fee`m7$Fdp$\"3=wUr&GkWb&Fgq7$Fip$\"33$***** ******\\:Fgq7$F^q$\"3=mDT(e7***eF17$Fcq$\"3$>dmmmmm\"HFas7$Fiq$!3YgVI \"Rn9<#Fgq7$F^r$\"3a]G9dG92rF17$Fcr$\"3I&[[[[[t/$F17$Fhr$\"3y#3LKH<>k \"F17$F]s$\"3;%4m!Qs&R)*=\"Fas7$F]u$\"3smroY!HV#= Fas7$Fcu$\"3id!H)f!H)4GFas7$Fhu$\"3E;9lInKvSFas7$F]v$\"377=====obFas7$ Fbv$\"3g*y())f@U[sFas7$Fgv$\"3k6r$z(*z]3*Fas7$F\\w$\"3-UtDQ^P06F17$Faw $\"3gi?\\j?\\88F17$Ffw$\"3I,hflzFJ:F17$F[x$\"3?mR+$zPuv\"F17$F`x$\"3%* Q.=_)**3*>F17$Fex$\"3RI#p2Bp2B#F17$Fjx$\"39A\\z3DHwCF17$F_y$\"3[fbhj1$ os#F17$Fdy$\"3y\\i#\\,Q=)HF17$Fiy$\"3^qSR%oX3C$F17$F^z$\"3o>ATs%[M]$F1 7$Fcz$\"3%*f'H5N%HpPF17$Fhz$\"3KVI$4)f2QSF17$F][l$\"3l1Q_4Q_4VF1Fb[l7# -F(6$7S7$F,$!35%\\\\\\\\\\u]\"Fgq7$F3$!3]r'QCnQu\\\"Fgq7$F9$!3)pQ>UaV3 \\\"Fgq7$F>$!3ADjz62b)[\"Fgq7$FC$!3#*eE:RUy\"\\\"Fgq7$FH$!3!*)[Ddx$G-: Fgq7$FM$!3HWG(*3#4E_\"Fgq7$FR$!39M<0!3\"pc:Fgq7$FW$!3HgY*3m%*3h\"Fgq7$ Ffn$!3m;v'fjhip\"Fgq7$F[o$!3eqs*)e%)zL=Fgq7$F`o$!3%[(eZ@F2p?Fgq7$Feo$! 3T@BBBBBBDFgq7$Fjo$!376T\\&fHCm$Fgq7$F_p$!3Cllllllg5Fee`m7$Fdp$\"3u6#z 2Azdk&Fgq7$Fip$\"3%)\\ccccc\"e\"Fgq7$F^q$\"3%4&zPdh>*3'F17$Fcq$\"3_4% \\\\\\\\\\\\%Fas7$Fiq$!3N(eq4Fz&G@Fgq7$F^r$\"3ec!\\?1\\?1(F17$Fcr$\"3B aE*>Zu,/$F17$Fhr$\"3/D[T91tS;F17$F]s$\"3e'R-n$exc\"*FasFbs7$Fgs$\"3gCD )Hf!zFEFas7$F\\t$\"3*)f5K!>taT\"Fas7$Fat$\"318&3P^3P,\"Fas7$Fgt$\"32F: W-'>n?\"Fas7$F]u$\"3))>@&=Fas7$Fcu$\"3A[yH]yH]GFas7$Fhu$\"3/amqq/ gITFas7$F]v$\"3#H7Sn%>#*RcFas7$Fbv$\"3E-HEm@2QtFas7$Fgv$\"3u)*)R50(*Q> *Fas7$F\\w$\"3`*QRTU$G=6F17$Faw$\"3xFL_GL_G8F17$Ffw$\"3-'Qv\"Rr^[:F17$ F[x$\"3inmd2+'px\"F17$F`x$\"32eWfU=x7?F17$Fex$\"3w/00000bAF17$Fjx$\"3c jA0Ij..DF17$F_y$\"3Cv@Aw[3cFF17$Fdy$\"3In`DUdk8IF17$Fiy$\"3'*4sS?fCvKF 17$F^z$\"3SD#y_ew/a$F17$Fcz$\"3$QP#f8D)*3QF17$Fhz$\"3KRQ7SNX!3%F17$F][ l$\"3Q-wh/whaVF1Fb[l7#-F(6$7S7$F,$!3IABBBBBB:Fgq7$F3$!3-8YKal=8:Fgq7$F 9$!3o](RBp-m]\"Fgq7$F>$!3nj)*p)ozV]\"Fgq7$FC$!3')Ghqh(ex]\"Fgq7$FH$!3* yp^i4/&=:Fgq7$FM$!3>'>RW#>@R:Fgq7$FR$!3uo%*))y*oQd\"Fgq7$FW$!3By@$*y@$ *G;Fgq7$Ffn$!347XHPLg:b=Fgq7$F`o$!3e;+)G4ZR4#Fgq7$ Feo$!3!y(zzzzzaDFgq7$Fjo$!3)4P#H$pK3r$Fgq7$F_p$!3shB3iB$e2\"Fee`m7$Fdp $\"3GZT%e:%4PdFgq7$Fip$\"301888888;Fgq7$F^q$\"3ERLMF(z%yiF17$Fcq$\"3%Q AKKKKK2'Fas7$Fiq$!3g9oj]6p&3#Fgq7$F^r$\"3th_&pEbp,(F17$Fcr$\"3:Bo8f/+L IF17$Fhr$\"33nlfNRaR;F17$F]s$\"3!opQ`$*4e:*FasFbs7$Fgs$\"3D5*fE-/$GEFa s7$F\\t$\"3n'Go`du'=9Fas7$Fat$\"3u'R!Q(R!QA5Fas7$Fgt$\"3UT0pK'*fB7Fas7 $F]u$\"3wsql0H[z=Fas7$Fcu$\"3CQmwSmw!*GFas7$Fhu$\"3#H*=w5U(e=%Fas7$F]v $\"3iK%)Hv?m6dFas7$Fbv$\"3#Q,QEJ6F17$Faw$\"3]#faNfaNM\"F17$Ffw$\"3)4naFJcdc\"F17$F[x$\"3/p$\\ @A#['z\"F17$F`x$\"3ww&3I$QkM?F17$Fex$\"35z$!3'>S.cm3-_\"Fgq7$FC$!3!))ffUGLP_\"Fgq7$FH$!312zx;W sM:Fgq7$FM$!3#za0*RY\"eb\"Fgq7$FR$!3'Q?Fx(o/\"f\"Fgq7$FW$!3='ppppppk\" Fgq7$Ffn$!3^2:iQ]%\\t\"Fgq7$F[o$!3S9.:0Ifw=Fgq7$F`o$!3leTGk9#)=@Fgq7$F eo$!3cMOOOOO'e#Fgq7$Fjo$!39I14\"zN#fPFgq7$F_p$!3?e\"3&e\"354\"Fee`m7$F dp$\"3U\"34444%GeFgq7$Fip$\"3WipppppW;Fgq7$F^q$\"3eF(3tHjxY'F17$Fcq$\" 3Yh]^^^^^wFas7$Fiq$!3aUIIII!G/#Fgq7$F^r$\"3)oYh=Zh=(pF17$Fcr$\"3^#*4GY k#e-$F17$Fhr$\"3d4$ynDd$Q;F17$F]s$\"3C**\\(R.W[:*FasFbs7$Fgs$\"3O&HPBX <)GEFas7$F\\t$\"3X8bTgf(=U\"Fas7$Fat$\"3c!G_5G_5.\"Fas7$Fgt$\"3]b&RHmz /C\"Fas7$F]u$\"3lD?9N)fq!>Fas7$Fcu$\"3&)GaBJaBJHFas7$Fhu$\"3OKr\"3&z9T UFas7$F]v$\"3IUn&Q?-My&Fas7$Fbv$\"3FCJ,z@PJ:T*Fas7 $F\\w$\"3@&[.f***4W6F17$Faw$\"3odeeeeee8F17$Ffw$\"39cRL'[&*He\"F17$F[x $\"3Cq?sOW+;=F17$F`x$\"3!fpAM#e^c?F17$Fex$\"3Y`Ih`Ih.BF17$Fjx$\"3'f%pc sR_cDF17$F_y$\"3V0aV,Lf9GF17$Fdy$\"3y-O\"p>hs2$F17$Fiy$\"3W)[LCRYSM$F1 7$F^z$\"3;Q-,6G`9OF17$Fcz$\"33-yrQ)e$))QF17$Fhz$\"3UIa]e'3_;%F17$F][l$ \"34#>0[>0[W%F1Fb[l7#-F(6$7S7$F,$!3qyzzzzza:Fgq7$F3$!3C'\\'4=BoW:Fgq7$ F9$!3Px/e))47Q:Fgq7$F>$!31Sp]Uw.O:Fgq7$FC$!3uoI\"o!yqR:Fgq7$FH$!3/;TIP Z%4b\"Fgq7$FM$!3#)**=PbtTs:Fgq7$FR$!3\")Q\\cwZA3;Fgq7$FW$!379s+:s+l;Fg q7$Ffn$!3%H][*RnGafFgq7$Fip$\"3?>EEEEEw;Fgq7$F^q$\"3)e6us'o/dmF17$Fcq$\"3kuy zzzzH#*Fas7$Fiq$!3yp#p*4\\\"***>Fgq7$F^r$\"3-swwwwwEpF17$Fcr$\"3*4;DMV _'=IF17$Fhr$\"3h^+'zdqrj\"F17$F]s$\"3o,8hK\"yQ:*FasFbs7$Fgs$\"3,\"o9?) 3LHEFas7$F\\t$\"3BSFYXt2D9Fas7$Fat$\"34kTskTsR5Fas7$Fgt$\"3sp&)=$pftD \"Fas7$F]u$\"3`ypiknjM>Fas7$Fcu$\"3))=Uq@UqrHFas7$Fhu$\"3CrB(3p@kH%Fas 7$F]v$\"35`]TKB9beFas7$Fbv$\"3$pB)Q&=Aqg(Fas7$Fgv$\"3/g#[.F[._*Fas7$F \\w$\"3sKby\"G3q:\"F17$Faw$\"3iArhBrht8F17$Ffw$\"35TK\"*fYB+;F17$F[x$ \"3mrZH^m_N=F17$F`x$\"3/:o$Q\"yQy?F17$Fex$\"3QFV*yK%*yK#F17$Fjx$\"3S(G CQznKe#F17$F_y$\"3=@?/9v%Q%GF17$Fdy$\"3I?FCC*o!4JF17$Fiy$\"3YFmWGmWyLF 17$F^z$\"3)QCwQ#4c^OF17$Fcz$\"3a:0G,q/GRF17$Fhz$\"3VEipI/c \"Fgq7$F9$!3sS3qO,)Qb\"Fgq7$F>$!3_y/T>m'=b\"Fgq7$FC$!3oQlOHBob:Fgq7$FH $!3/D.$y0lrc\"Fgq7$FM$!3s^#Q32?!*e\"Fgq7$FR$!3etESvESD;Fgq7$FW$!3UKZ/L Z/$o\"Fgq7$Ffn$!3O)\\v7WGOx\"Fgq7$F[o$!3$*eLS^vQ>>Fgq7$F`o$!37UC42-do@ Fgq7$Feo$!3sZ\\\\\\\\\\\\EFgq7$Fjo$!3uZro')>/cQFgq7$F_p$!3(3vf8vf87\"F ee`m7$Fdp$\"35^*Q5'*Q5,'Fgq7$Fip$\"3fv#GGGGyq\"Fgq7$F^q$\"330&RsVIj%oF 17$Fcq$\"3Mr!333333\"F17$Fiq$!3m'\\N'*yEq&>Fgq7$F^r$\"3;xQn\")Qn\")oF1 7$Fcr$\"3\"*H$p0Uy9,$F17$Fhr$\"3(QzT\"**Q)fj\"F17$F]s$\"3+.wCJA\"H:*Fa sFbs7$Fgs$\"36m?p6V%)HEFas7$F\\t$\"3,n*40ty#G9Fas7$Fat$\"31[gR[gR[5Fas 7$Fgt$\"33%ePMsRUF\"Fas7$F]u$\"3qJ>6%p8A'>Fas7$Fcu$\"3[4I<7I<7IFas7$Fh u$\"3o5w#4V&p^VFas7$F]v$\"3\"ROt4Y#)o#fFas7$Fbv$\"3QZLw\">smp(Fas7$Fgv $\"3C[5XV`;H'*Fas7$F\\w$\"3W!enwc;*p6F17$Faw$\"3!yQ[')Q[')Q\"F17$Ffw$ \"3$e_#\\LQZ<;F17$F[x$\"33tu'e')[]&=F17$F`x$\"3tL4D/)f-5#F17$Fex$\"3u, c<-c<_BF17$Fjx$\"3QG;3:;,5EF17$F_y$\"3]O'[ms,J(GF17$Fdy$\"3#y$=d^m(39$ F17$Fiy$\"3$pwfW'o%GT$F17$F^z$\"3-]AuO!*e)o$F17$Fcz$\"3+HK%Q;Nx'RF17$F hz$\"3a@q)oxj*\\UF17$F][l$\"3p#y#*\\y#*\\`%F1Fb[l7#-F(6$7S7$F,$!3GNOOO OO'e\"Fgq7$F3$!3Yz$o=3yhd\"Fgq7$F9$!3U/7#[GR'p:Fgq7$F>$!3#o,9jf&pn:Fgq 7$FC$!3i3+#>&olr:Fgq7$FH$!3?MlNy`Q$e\"Fgq7$FM$!3F.YI'yAcg\"Fgq7$FR$!3O 3/Cu0eU;Fgq7$FW$!3N]A3^A3,Fgq7$F`o$!3%Qe'\\yXW$>#Fgq7$Feo$!3w.11111\"o#Fgq7$Fjo$!3<1a[%3XW!RF gq7$F_p$!3NZbyZb`O6Fee`m7$Fdp$\"3l')Q5'*QN-hFgq7$Fip$\"3*>$RRRRRRFgq7$F^r$ \"3J#3!e'3!eOoF17$Fcr$\"3$))\\8xS/V+$F17$Fhr$\"39ONK?szM;F17$F]s$\"3W0 R))Hj%>:*FasFbs7$Fgs$\"3x^%p8ud.j#Fas7$F\\t$\"3N%>db6![J9Fas7$Fat$\"3g Jz1Kz1d5Fas7$Fgt$\"39)f'o`(>6H\"Fas7$F]u$\"3e%)ofB1z*)>Fas7$Fcu$\"33+= k-=k_IFas7$Fhu$\"3d\\G)4Ajy(Fas7$Fgv$\"3MNQb;C)zt*Fas7$F\\w$\"3'zi\\N&[#G=\"F17$Faw$\"3`_' zOlzOS\"F17$Ffw$\"3y5=22IrM;F17$F[x$\"3]u,W!3rX(=F17$F`x$\"3'G0lYzJ@7# F17$Fex$\"33woXwoXwBF17$Fjx$\"3\")p*QjVbnj#F17$F_y$\"3#=Db#RfN-HF17$Fd y$\"3yb4!*yVosJF17$Fiy$\"3Q1HZ+rCZMF17$F^z$\"3jc#3'\\rhDPF17$Fcz$\"3MV fSELU2SF17$Fhz$\"3af\"Fgq7$F9$!3wn:%HV)R&e\"Fgq7$F>$!3Gbv@ tX_$e\"Fgq7$FC$!3QyMZu8j(e\"Fgq7$FH$!3=VF)))p0'*f\"Fgq7$FM$!3Nb4x,bAA; Fgq7$FR$!3[V\"yIZe(f;Fgq7$FW$!3Ho(>\"p(>\">*[HR%=J7=Fgq7$ F[o$!35.kl(4#=i>Fgq7$F`o$!3cD2!*\\*=$=AFgq7$Feo$!3]giiiii7FFgq7$Fjo$!3 /mOG#=[G&RFgq7$F_p$!3#QM6UM6<:\"Fee`m7$Fdp$\"3y?)o6$)oO>'Fgq7$Fip$\"3S )effff4x\"Fgq7$F^q$\"39y-\"F1 7$Faw$\"3q<4r=4r=9F17$Ffw$\"3s&4^1=_>l\"F17$F[x$\"3#f(G,&H$4%*=F17$F`x $\"3+s\"z]y.S9#F17$Fex$\"3W]\"Q2:Q2S#F17$Fjx$\"3A6jfd#*\\jEF17$F_y$\"3 8n='=:5;$HF17$Fdy$\"3It+B1@\\/KF17$Fiy$\"3'\\/'[Otk\"[$F17$F^z$\"3yiUZ i_kiPF17$Fcz$\"3qd'o*)[6r/%F17$Fhz$\"3`8'o_*)=ZL%F17$F][l$\"3Ss.=v.=DY F1Fb[l7#-F(6$7S7$F,$!3m\"HHHHHzh\"Fgq7$F3$!3mi-kXQn2;Fgq7$F9$!3\"4$>1 \"ed6g\"Fgq7$F>$!3?$4@,b`$*f\"Fgq7$FC$!3J[p-(*eg.;Fgq7$FH$!3;_*3%>g#eh \"Fgq7$FM$!332tB<#G)Q;Fgq7$FR$!3!z(e\">POpn\"Fgq7$FW$!3C'GdrGdrt\"Fgq7 $Ffn$!3h%[c_a`;$=Fgq7$F[o$!3QDHyq$zN)>Fgq7$F`o$!3kn[I@L>VAFgq7$Feo$!3! p\">>>>>WFFgq7$Fjo$!3>D>3!G^7+%Fgq7$F_p$!3;SrjSr)o;\"Fee`m7$Fdp$\"3McP BmP)\\G'Fgq7$Fip$\"3yW_____-=Fgq7$F^q$\"3Xmc8Z6=9uF17$Fcq$\"3up;F17$F[x$\"3ex be4bh8>F17$F`x$\"3o!H$\\vd(e;#F17$Fex$\"3![U>]U>]U#F17$Fjx$\"3?_O&)yIC !p#F17$F_y$\"3W#[oWOk3'HF17$Fdy$\"3#3>fN$)*HOKF17$Fiy$\"3V%=*\\sv/;NF1 7$F^z$\"3]o-MvLn*z$F17$Fcz$\"39r8`^'*z'3%F17$Fhz$\"3k3%fWX'4xVF17$F][l $\"3CnTFqTFqYF1Fb[l7#-F(6$7S7$F,$!3/?@@@@rL;Fgq7$F3$!3+/i_F$!3mJY-FD=:;Fgq7$FC$!3D=/e>/e>;Fgq7$FH$!3)4;N*R j/K;Fgq7$FM$!3!)eOqK4Vb;Fgq7$FR$!3-8OvqU6%p\"Fgq7$FW$!3=/[>0[>b p)H,()HwjFgq7$Fip$\"3=,44444M=Fgq7$F^q$\"3wa553;SI!)*=j#Fa s7$F\\t$\"3ou))pqU3T9Fas7$Fat$\"3M#e$3$e$3$3\"Fas7$Fgt$\"3mSOVW)fiejLW15F17$F\\w$ \"3;rd>6(\\:A\"F17$Faw$\"3#yWt([Mx[9F17$Ffw$\"3il'4y_Iko\"F17$F[x$\"3c y#eTsPJ$>F17$F`x$\"3#)4u!fwZx=#F17$Fex$\"3s)p+$*p+$\\CF17$Fjx$\"3k$*46 +p)pr#F17$F_y$\"3w(4vqd=,*HF17$Fdy$\"3M3$))3c2\"oKF17$Fiy$\"3WBB^3yW]N F17$F^z$\"3lui?)[,n$QF17$Fcz$\"3h%3%49y[ETF17$Fhz$\"3l/-l8SZ>WF17$F][l $\"35izOlzO:ZF1Fb[l7#-F(6$7S7$F,$!3U[\\\\\\\\\\\\;Fgq7$F3$!3pX@T4'p\"R ;Fgq7$F9$!3gdEIxenK;Fgq7$F>$!37q\"GR]65j\"Fgq7$FC$!3>))Q8U\\bN;Fgq7$FH $!3]q8YgmE[;Fgq7$FM$!3)3,q\"[O.s;Fgq7$FR$!3;[8fp@H6pf.\"Fee`m7$Fdp$ \"3/EOOOOhnkFgq7$Fip$\"3%zbccccc'=Fgq7$F^q$\"31Vk1(G[Fz(F17$Fcq$\"3E&[ \\\\\\\\*p=F17$Fiq$!3@Lm'z='eU'p^kp^9KFas7$Fhu$\"3b/Q?JT1 GYFas7$F]v$\"3o:\\w.Je&G'Fas7$Fbv$\"3;0*QOAA\\9)Fas7$Fgv$\"3[)\\'*32Dt ,\"F17$F\\w$\"3*)=y2(*zXM7F17$Faw$\"3+8Z!Qr/QY\"F17$Ffw$\"3!3&*)Q,(pOq \"F17$F[x$\"3)*z4tQ*fE&>F17$F`x$\"3SH:Kc(>'4AF17$Fex$\"33t>et>etCF17$F jx$\"32N$o8sIPu#F17$F_y$\"3_8IF17$Fdy$\"3uEu@)G:**H$F17$Fiy$\"3 !HYDX/[[e$F17$F^z$\"3E\"Gs5gHP(QF17$Fcz$\"31)zcm(f$!3e3<$3[Sok\"Fgq7$FC$!39etok% H:l\"Fgq7$FH$!3Izv)4)p[k;Fgq7$FM$!3Eijjjjj)o\"Fgq7$FR$!3e#3H%o+ZGrx/#Fgq7$F `o$!3#GHqwMdgk9%Fgq7$F_p $!3gHX\"*HXT77Fee`m7$Fdp$\"3Ii&G9dG*elFgq7$Fip$\"3K9AAAAA(*=Fgq7$F^q$ \"3QJ=.d=.#)zF17$Fcq$\"3emxxxxxF?F17$Fiq$!3WgGjn!)p*p\"Fgq7$F^r$\"3R06 66666mF17$Fcr$\"3)QMMMMM%oHF17$Fhr$\"3CZABEQ')G;F17$F]s$\"3I9a1Bo6Z\"* FasFbs7$Fgs$\"3&*yjv*)[#Hj#Fas7$F\\t$\"3CGLzSq[Z9Fas7$Fat$\"3&)\\tU]tU +6Fas7$Fgt$\"33p;$\\!*>bP\"Fas7$F]u$\"3F\\;-r_nF@Fas7$Fcu$\"3%>v&)\\v& )\\D$Fas7$Fhu$\"3+W!f7(yL$o%Fas7$F]v$\"3QDKKKKKdjFas7$Fbv$\"3s;S,IAdM# )Fas7$Fgv$\"3>xn?yn?G5F17$F\\w$\"3im)fHGmtC\"F17$Faw$\"3uxf$)yf$)y9F17 $Ffw$\"3_N#o\\()34s\"F17$F[x$\"3U\"o.L:#=s>F17$F`x$\"35[ctY<\\JAF17$Fe x$\"3UZK'yCjy\\#F17$Fjx$\"31wciUXZqFF17$F_y$\"3SG$)G-qi[IF17$Fdy$\"3EW la:IsJLF17$Fiy$\"3P-'Q0G[#>OF17$F^z$\"3U(GQRrd2\"RF17$Fcz$\"3T7&>#RT'e ?%F17$Fhz$\"3l'zJ?8HU]%F17$F][l$\"3p_bbbbb0[F1Fb[l7#-F(6$7S7$F,$!3=011 111\"o\"Fgq7$F3$!33HS=t`mq;Fgq7$F9$!3k%QVN<%>k;Fgq7$F>$!3MY_td%pEm\"Fg q7$FC$!33G3C()R]n;Fgq7$FH$!37)y8:I22o\"Fgq7$FM$!3L9F5z!R_q\"Fgq7$FR$!3 qFgq7$F[o$!3s8!*Gj%o\"p ?Fgq7$F`o$!3bM9#p!3pUBFgq7$Feo$!3cVXXXXXqGFgq7$Fjo$!3!='\\FrO'[>%Fgq7$ F_p$!3zD.ME.fF7Fee`m7$Fdp$\"3s&\\$\\1NC]mFgq7$Fip$\"3PqyyyyyG>Fgq7$F^q $\"39;s*pU:8<)F17$Fcq$\"3M]ggggg&=#F17$Fiq$!3o(3*HZ*4ol\"Fgq7$F^r$\"3a 5t,;t,mlF17$Fcr$\"3y7&y0Lg7'HF17$Fhr$\"3]*)RTZrnF;F17$F]s$\"3u;$QMj#Fas7$F\\t$\"3Ib0%eU)o]9Fas7$Fat$\"3nL#*4M# *446Fas7$Fgt$\"3W$o!=N**R#R\"Fas7$F]u$\"3W-m]+ADb@Fas7$Fcu$\"33VXXXXX& H$Fas7$Fhu$\"3x\"G98h6'QZFas7$F]v$\"32N:)3Oj!HkFas7$Fbv$\"3%)oXFg7F17$Faw$\"3!HCnQCnQ\\\"F1 7$Ffw$\"3D?va[![\"QF17$F`x$\"3Cn(\\rtjLD#F17$Fex $\"3y@X9AX9ADF17$Fjx$\"3[$!3![yQYV)\\ y;Fgq7$FC$!3m(H%z4&yMo\"Fgq7$FH$!3k(**R?iFpp\"Fgq7$FM$!3Tm!pXzT=s\"Fgq 7$FR$!3%Gb/h'e#Gw\"Fgq7$FW$!3lw[Mx[MF=Fgq7$Ffn$!31i9*=0i$G>Fgq7$F[o$!3 )f`:ktl04#Fgq7$F`o$!3kwbKy^cnBFgq7$Feo$!3f*>?????!HFgq7$Fjo$!3'4At!pnE VUFgq7$F_p$!3EAhwAhwU7Fee`m7$Fdp$\"3)>Ve:We:u'Fgq7$Fip$\"37FNNNNNg>Fgq 7$F^q$\"3W/E'p**)fg$)F17$Fcq$\"3)=LMMMMMM#F17$Fiq$!3j:`'p#=#Rh\"Fgq7$F ^r$\"3d;N#4_B4_'F17$Fcr$\"3q\"oAxJ'3aHF17$Fhr$\"3*>t&fo/\\E;F17$F]s$\" 3%p,Q.-&=X\"*FasFbs7$Fgs$\"3r\\66\\<&Rj#Fas7$F\\t$\"33#y()3\")*)QX\"Fa s7$Fat$\"3@<6x<6x<6Fas7$Fgt$\"3_(pHa'*z#49Fas7$F]u$\"3/b:**H\"HG=#Fas7 $Fcu$\"37LL#fLBfL$Fas7$Fhu$\"3?@&p8N&)Qz%Fas7$F]v$\"3(e%)R%*[.3]'Fas7$ Fbv$\"3%)RUwUA(QT)Fas7$Fgv$\"3iMt#G>q*\\5F17$F\\w$\"35iRsaG=t7F17$Faw$ \"3&y])*)3&)*)3:F17$Ffw$\"3U0o7AsQb$!3CBBa6uK%p\"Fgq7$FC$!3gnxMKIX*p\"Fgq7$FH$!3W1icUz98Fgq7$F[o$!3*y0U&4I'>6#Fgq7$F`o$!3O=(H(\\&RCR#Fgq7$Feo$!3NceeeeeLHF gq7$Fjo$!3Sz9(o')p;H%Fgq7$F_p$!3u=>>>>%zD\"Fee`m7$Fdp$\"3TlLiwL(G$oFgq 7$Fip$\"3_$=>>>>>*>Fgq7$F^q$\"3w#*z#pc#))\\&)F17$Fcq$\"3k:EEEEE,DF17$F iq$!3qU:j1P.r:Fgq7$F^r$\"3s@(HesHeZ'F17$Fcr$\"3i]o'[I7p%HF17$Fhr$\"3.u ux*y.`i\"F17$F]s$\"3Q>V(*=\">U9*FasFbs7$Fgs$\"3ON&)yy^YMEFas7$F\\t$\"3 ')3]$f>\"4d9Fas7$Fat$\"3)3+V9+Vk7\"Fas7$Fgt$\"3g6(yc**fhU\"Fas7$F]u$\" 3?3lZfgS5AFas7$Fcu$\"3sB@RE@RwLFas7$Fhu$\"35gZU\"4f\"\\[Fas7$F]v$\"3oc \")*zhVDd'Fas7$Fbv$\"3H]$R\"\\A_.&)Fas7$Fgv$\"3K8w8+>&31\"F17$F\\w$\"3 #)4ggS64'G\"F17$Faw$\"3-t(HRxHR_\"F17$Ffw$\"3;!41dREEx\"F17$F[x$\"3!fy @qz[2.#F17$F`x$\"310!yzr2rH#F17$Fex$\"31qqqqqqqDF17$Fjx$\"3))*p(R1gq]G F17$F_y$\"3Mu\"3,k*QOJF17$Fdy$\"3E(*Q`(>YrU$F17$Fiy$\"3()>!y&))*[Cs$F1 7$F^z$\"3W0j`_?%=-%F17$Fcz$\"3n`w!piG\\K%F17$Fhz$\"3w$=/'4=OJYF17$F][l $\"39Qp$3%p$3%\\F1Fb[l7#-F(6$7S7$F,$!3f*34444%G$!3rheW)Qc,r\"Fgq7$FC$!3`P7!\\bFar\"Fgq7 $FH$!3D:C4j#o$HM\"*>M'=Fgq7$Ffn$!3!HXXXXXq'>Fgq7$F[o$!3!)z&oEGgL8#Fgq7$F`o$!3sfQ8@RJ 5,#HQ(RHF17$Fhr$\"32;#f46>>>>W$!3Y*R\\`O&) fs\"Fgq7$FC$!3Z2ZXx?SJFgq7$F[o$ !33-^zbvva@Fgq7$F`o$!3;-!QDH)=UCFgq7$Feo$!3]prrrrr'*HFgq7$Fjo$!3s(*zYi gZ)Q%Fgq7$F_p$!3c6N/7NH)G\"Fee`m7$Fdp$\"34NKvYK]:qFgq7$Fip$\"3o'\\]]]] ]0#Fgq7$F^q$\"3Pp(eoq\\%G*)F17$Fcq$\"3%4=>>>>p\"GF17$Fiq$!3=(*R'fYd_[ \"Fgq7$F^r$\"3+K@kN@k&Q'F17$Fcr$\"3\"*)=b\"zUcKHF17$Fhr$\"3ce49K/$Hi\" F17$F]s$\"3:BpC;tGU\"*FasFbs7$Fgs$\"371L9Q?\\NEFas7$F\\t$\"3Si%Hg'R\\j 9Fas7$Fat$\"36onyonyV6Fas7$Fgt$\"3/SnJ\"F17$Faw$ \"3#HI#*RI#*Rb\"F17$Ffw$\"30gY'Gu/r!=F17$F[x$\"3I)=nhA$zp?F17$F`x$\"3L Vi!))p^3M#F17$Fex$\"3x='p#>'p#>EF17$Fjx$\"3u#Q7*[O>/HF17$F_y$\"3'\\S@` 1)*[>$F17$Fdy$\"3IK@>_;w!\\$F17$Fiy$\"3M)H/1Y\\7z$F17$F^z$\"3w<$o#y#)* e4%F17$Fcz$\"3[\"3L?&\\I/WF17$Fhz$\"3'[x&)z#p6;ZF17$F][l$\"3&y_C5`C5.& F1Fb[l7#-F(6$7S7$F,$!3MYZZZZ(*f$!3#z$HDUV\"=u\"Fgq7$FC$!3Ux\"3+gwtu\"Fgq7$FH$!3eL[9/*3= w\"Fgq7$FM$!3KtWVcED)y\"Fgq7$FR$!3$>\\b9YP:$=Fgq7$FW$!3U[\\\\\\\\\\**= Fgq7$Ffn$!3uV%*>d)Gd+#Fgq7$F[o$!3)Ri@*G[:w@Fgq7$F`o$!3aV@%RmiqY#Fgq7$F eo$!3*e#GGGGGGIFgq7$Fjo$!3:ciEg\"zoV%Fgq7$F_p$!3.3$p%3$pMI\"Fee`m7$Fdp $\"3Nr\"====o5(Fgq7$Fip$\"33`hhhhh'3#Fgq7$F^q$\"38aT#oFLx6*F17$Fcq$\"3 /iuuuuuuHF17$Fiq$!3%\\AIcMpBW\"Fgq7$F^r$\"3QN$[0M[0M'F17$Fcr$\"3$yN*Hm -RDHF17$Fhr$\"3#3qALvVleCleC:\"Fas7$Fgt$\"35adU'3+oZ \"Fas7$F]u$\"3'oOJz%o8$H#Fas7$Fcu$\"3Q%\\)z(\\)z(\\$Fas7$Fhu$\"3vw/f6. )\\,&Fas7$F]v$\"3'o3tO+kxy'Fas7$Fbv$\"3'\\ok#oAZs()Fas7$Fgv$\"3W\\%o?- (\\$4\"F17$F\\w$\"3z_@D)*f\"[K\"F17$Faw$\"3)ycB!pN-p:F17$Ffw$\"3+XRW;R MC=F17$F[x$\"3%**))R2W:$*3#F17$F`x$\"3-i.A*oBFO#F17$Fex$\"3o#*3b$*3bVE F17$Fjx$\"3sB(p,ZP4$HF17$F_y$\"3G?!GzF_TA$F17$Fdy$\"3F]7_z$pD_$F17$Fiy $\"3PPuh'p\\c#QF17$F^z$\"3[BV8\"REH8%F17$Fcz$\"3#ez&f9J*RW%F17$Fhz$\"3 '3dwr[%\\eZF17$F][l$\"3qA$=hK=h2&F1Fb[l7#-F(6$7S7$F,$!3suvvvvvv$!3Qwk:>LkdPb[!=Fgq7$FR$!31FKHg`r[=Fgq7$FW $!3rmC`nC`<>Fgq7$Ffn$!3;Rk_e02D?Fgq7$F[o$!3CY\"[?5_v>#Fgq7$F`o$!3i&GY` .P>\\#Fgq7$Feo$!3k#[[[[[)fIFgq7$Fjo$!3-;X1eAG&[%Fgq7$F_p$!3B/^*[5X'=8F ee`m7$Fdp$\"3?1J)o6L\")>(Fgq7$Fip$\"364======@Fgq7$F^q$\"3WU&*yYo,2$*F 17$Fcq$\"3!euvvvvD8$F17$Fiq$!3+_kHD7[*R\"Fgq7$F^r$\"3UTXXXXX&H'F17$Fcr $\"3JENW`i@=HF17$Fhr$\"34VW]uqb?;F17$F]s$\"3-G&>N^b.9*FasFbs7$Fgs$\"3) o2)\\(*)=lj#Fas7$F\\t$\"3'f\"R7On*)p9Fas7$Fat$\"3YN08O08h6Fas7$Fgt$\"3 uoZn;,o$\\\"Fas7$F]u$\"3t>jTxPr?BFas7$Fcu$\"3a&Gn#)Gn#QNFas7$Fhu$\"33: dk^SDq]Fas7$F]v$\"3m(RJA8/&foFas7$Fbv$\"3i(zRYFA@'))Fas7$Fgv$\"3;G(y$H (yV5\"F17$F\\w$\"3_+U8%GCxL\"F17$Faw$\"3/L[0M[0%e\"F17$Ffw$\"3cQY0!4y\"Fgq7$F9$!3eGfQ5#3Xx\"Fgq7$F>$!3%[,ggHsMx\"Fgq7$FC$ !3G<^6XcKzX&\\Uz\"Fgq7$FM$!3wwrO(3e9#=Fgq7$FR$!3#='48fK *e'=Fgq7$FW$!3m%)*pb)*pb$>Fgq7$Ffn$!3eMM&)fATW?Fgq7$F[o$!3^oY0[%*G(Fgq7$Fip$\"3]luuuuu\\@Fgq7$F^ q$\"3uI\\v;/I'\\*F17$Fcq$\"3MFSSSSS!H$F17$Fiq$!3CzE'\\5$fc8Fgq7$F^r$\" 3cY2O]2O]iF17$Fcr$\"37'p(eSA/6HF17$Fhr$\"38&='o&Rq$>;F17$F]s$\"3CGe:7' *QR\"*FasFbs7$Fgs$\"3aiaC! )>C!)p6Fas7$Fgt$\"3#GyBp9g0^\"Fas7$F]u$\"3!HF,pq!H[BFas7$Fcu$\"3evgtyg tyNFas7$Fhu$\"3^a4q\"zFb7&Fas7$F]v$\"3N2(*ygUCJpFas7$Fbv$\"333\\,\"Gs< &*)Fas7$Fgv$\"3(o+*oO/E:6F17$F\\w$\"3E[i,qDj]8F17$Faw$\"3y(4'3*4'3*f\" F17$Ffw$\"3!\\^-OEA)e=F17$F[x$\"3!GH&))p)f$G@F17$F`x$\"3H+'[+nnkS#F17$ Fex$\"3#=W8@W8@p#F17$Fjx$\"3e1Wo7^U%)HF17$F_y$\"3#4DTJqgEG$F17$Fdy$\"3 I&[zT$[='e$F17$Fiy$\"3G;Pko,X%*QF17$F^z$\"3oOj'oh#)p?%F17$Fcz$\"3uA7sR %pL_%F17$Fhz$\"33h\"ebg\\K%[F17$F][l$\"3S7fI;fIm^F1Fb[l7#-F(6$7S7$F,$! 36JKKKKK2=Fgq7$F3$!3Ah:FG%[mz\"Fgq7$F9$!33#H1&etE!z\"Fgq7$F>$!3'HbjHF, $*y\"Fgq7$FC$!3A(eow;+`z\"Fgq7$FH$!3rgMsl)p/\"=Fgq7$FM$!3%)GN$G!31Q=Fg q7$FR$!3g'poz:rI)=Fgq7$FW$!3g-vg.vg`>Fgq7$Ffn$!3+I/=hRvj?Fgq7$F[o$!3x! >,$[mMSAFgq7$F`o$!32pX:ydoTDFgq7$Feo$!3W&zzzzzH7$Fgq7$Fjo$!3KM5m`%)3#e %Fgq7$F_p$!3=(pYxp'**[8Fee`m7$Fdp$\"3!f(H,()Hw!Q(Fgq7$Fip$\"3!>788888= #Fgq7$F^q$\"31>.s')Re&o*F17$Fcq$\"356BBBBB[MF17$Fiq$!3[1*GY)\\q88Fgq7$ F^r$\"3r^pEbpE0iF17$Fcr$\"3fk=tF#oQ!HF17$Fhr$\"3RFz'or$==;F17$F]s$\"3n I@z5PUQ\"*FasFbs7$Fgs$\"3kZG&ovXvj#Fas7$F\\t$\"3!)p$=i]*Hw9Fas7$Fat$\" 3'HIuMIu%y6Fas7$Fgt$\"3!pzsrOFas7$Fhu$\"3'R>c<`,3=&Fas7$F]v$\"3/+R( GA9/*Fas7$Fgv$\"3f&G**R9Uh7\"F17$F\\w$\"3)fH)*e&3aj8F17$Faw$\"3&HOJ$F17$ Fdy$\"3r.'3:c#*zh$F17$Fiy$\"3Jbol//&)GRF17$F^z$\"3RUBtH2,WUF17$Fcz$\"3 3PRG-w0jXF17$Fhz$\"33d*[Z;Fc)[F17$F][l$\"3:3(*R6(*R6_F1Fb[l7#-F(6$7S7$ F,$!3\\fgggg5B=Fgq7$F3$!3\"H]d,J'R7=Fgq7$F9$!3gbmi1l-1=Fgq7$F>$!30\"4n )\\-80=Fgq7$FC$!3;d?A!pu7\"=Fgq7$FH$!3`p'\\i=!pE=Fgq7$FM$!3#4))*H=Nma= Fgq7$FR$!3sJk!o0\\-!>Fgq7$FW$!3a?]k@]kr>Fgq7$Ffn$!3UDu]ic4$3#Fgq7$F[o$ !3K7xU@RuhAFgq7$F`o$!3;6(e&\\,cmDFgq7$Feo$!3?_aaaaaaJFgq7$Fjo$!3x#Hf9b \"\\IYFgq7$F_p$!3m$\\sT\\sTO\"Fee`m7$Fdp$\"3u5z2Az2suFgq7$Fip$\"3,z(yy yyG@#Fgq7$F^q$\"3O2docv'[()*F17$Fcq$\"3'[fgggggg$F17$Fiq$!3sL^Hko\"3F \"Fgq7$F^r$\"3'o:t,;t,;'F17$Fcr$\"3]Lg([@%p'*GF17$Fhr$\"3))p'\\!Qq*ph \"F17$F]s$\"36L%G%4yXP\"*FasFbs7$Fgs$\"3IL-`'=f!QEFas7$F\\t$\"3e'fl7*3 ]z9Fas7$Fat$\"3]'=Yr=Yr=\"Fas7$Fgt$\"3)4\"=U2-KW:Fas7$F]u$\"3%*y6(ecWM S#Fas7$Fcu$\"3wcOnfOnfOFas7$Fhu$\"3HK9\"=FvgB&Fas7$F]v$\"3%*Gj!z^CZ2(F as7$Fbv$\"33I^w$Hs58*Fas7$Fgv$\"3_k&48&Q-P6F17$F\\w$\"3]V.yT\"\\kP\"F1 7$Faw$\"38G'[\"H'[\"H;F17$Ffw$\"3![3h2h+L*=F17$F[x$\"3?&pI!*H/u;#F17$F `x$\"37Qo(3l6-X#F17$Fex$\"36!*fn!*fnSFF17$Fjx$\"3**)3*>bF\"z.$F17$F_y$ \"3)>[a$G\"p6M$F17$Fdy$\"3C@x$))G+)\\OF17$Fiy$\"3y%**p1k]K'RF17$F^z$\" 35[$)fU)Q5G%F17$Fcz$\"3a]m%[wXFg%F17$Fhz$\"33`(RRs/!G\\F17$F][l$\"3+.N \\1N\\c_F1Fb[l7#-F(6$7S7$F,$!3^()))))))))))Q=Fgq7$F3$!3hWM/#>W\"G=Fgq7 $F9$!3x=quacy@=Fgq7$F>$!3^H1xE#f4#=Fgq7$FC$!3vEbx7#\\s#=Fgq7$FH$!3pyex 10\"H%=Fgq7$FM$!3IKiwLiEr=Fgq7$FR$!3]mTkbpU<>Fgq7$FW$!3[QDoRDo*)>Fgq7$ Ffn$!3%3UMQOPC5#Fgq7$F[o$!3gMUb%>TJG#Fgq7$F`o$!3)G&G'4_M9f#Fgq7$Feo$!3 g366666'=$Fgq7$Fjo$!3#>bd#\\Y*)yYFgq7$F_p$!39!H)f!H[$z8Fee`m7$Fdp$\"3e XG9dGRjvFgq7$Fip$\"3TNWWWWWWAFgq7$F^q$\"3@4^m7^T15Fgq7$Fcq$\"3Sw)))))) )))Qw$F17$Fiq$!3yg8'RuGzA\"Fgq7$F^r$\"3,i$z]Oz]6'F17$Fcr$\"3U-----_*)G F17$Fhr$\"3#>TJ#f.\"eh\"F17$F]s$\"3WMZ13>\\O\"*FasFbs7$Fgs$\"3S=w?;EdQ EFas7$F\\t$\"3OBGJwAq#[\"Fas7$Fat$\"3;q!=32=e>\"Fas7$Fgt$\"3MD3nP-?h:F as7$F]u$\"3$=8c`\\@5V#Fas7$Fcu$\"3!oWU,XU,q$Fas7$Fhu$\"3gqm'=,\\8H&Fas 7$F]v$\"3kQYYYYYYrFas7$Fbv$\"3uU-9+Bs?#*Fas7$Fgv$\"3AV)>'eb!z9\"F17$F \\w$\"3A\"RiwUd$*Q\"F17$Faw$\"33$*)zT*)zTk\"F17$Ffw$\"3`p.M%yR0\">F17$ F[x$\"3%oR.O^Ep=#F17$F`x$\"3Ed4HTO3sCF17$Fex$\"3Yks&\\Ed\\w#F17$Fjx$\" 3UIkXwllkIF17$F_y$\"3I(4h4MB/P$F17$Fdy$\"3uQo;;!3;o$F17$Fiy$\"3!H8$ow3 l(*RF17$F^z$\"3raVYbp1=VF17$Fcz$\"3*[O4u#RVUYF17$Fhz$\"3?[08$G#Qq\\F17 $F][l$\"3&yH(e,te,`F1Fb[l7#-F(6$7S7$F,$!3)errrrrY&=Fgq7$F3$!3&fQHR2#*Q %=Fgq7$F9$!3H#QnG![aP=Fgq7$F>$!3)z;uO?)yO=Fgq7$FC$!3p'**G`tBK%=Fgq7$FH $!3](3-t#38f=Fgq7$FM$!3Q%eK#\\*oy)=Fgq7$FR$!3F,>[a[gM>Fgq7$FW$!3xc+sd+ s2?Fgq7$Ffn$!3E;9;l!z<7#Fgq7$F[o$!3&ov!on%QXI#Fgq7$F`o$!3C%*pO#*)3jh#F gq7$Feo$!3MlnnnnnzE !3y:Fas7$F]u$\"3)\\3T[U)feCFas7$Fcu$\"3SP7hS7hSPFas7$Fhu$\"315>#>vAmM& Fas7$F]v$\"3W\\H-vZ?=sFas7$Fbv$\"3>``^1BP5$*Fas7$Fgv$\"3%>7IfE(ye6F17$ F\\w$\"3>RWa8dE-9F17$Faw$\"3-e6@f6@f;F17$Ffw$\"3[a'>z&*yx#>F17$F[x$\"3 ])4w\"G([k?#F17$F`x$\"3%f20$!331xd!=f=Fgq7$ FH$!3m'HGy9^`(=Fgq7$FM$!35O*)pk;Z/>Fgq7$FR$!3SO'>Lv#y^>Fgq7$FW$!3suvvv vvD?Fgq7$Ffn$!3o6%)[m27T@Fgq7$F[o$!3xys!3uNfK#Fgq7$F`o$!3LO6xjK=TEFgq7 $Feo$!3Q@CCCCC\\KFgq7$Fjo$!3%42a[%3qvZFgq7$F_p$!34$))\\M))*p49Fee`m7$F dp$\"3E:FFFF-YxFgq7$Fip$\"3%yuvvvvvI#Fgq7$F^q$\"3)o=em#=FW5Fgq7$Fcq$\" 3qTaaaaazSF17$Fiq$!3E:QH.D:U6Fgq7$F^r$\"3Tr<*[x\"*[-'F17$Fcr$\"3sS&3j< s^(GF17$Fhr$\"3X'*[f,qV8;F17$F]s$\"34PtL0,cM\"*FasFbs7$Fgs$\"3s*QibZ*f REFas7$F\\t$\"3#pF2k/0\"*[\"Fas7$Fat$\"3aP=;Q=;87Fas7$Fgt$\"3w`)o\")Hg \\f\"Fas7$F]u$\"3'y.EVNvh[#Fas7$Fcu$\"3UF+3J+3\"y$Fas7$Fhu$\"3Q[r(>\\' *=S&Fas7$F]v$\"39f7e.\\%**G(Fas7$Fbv$\"3'eY!*GJA+S*Fas7$Fgv$\"3k+/Ct*o 'p6F17$F\\w$\"3q'[E%**R<:9F17$Faw$\"3)HUUUUUUn\"F17$Ffw$\"3lR*)\\J\"=] %>F17$F[x$\"3q*z[F%4(fA#F17$F`x$\"33&>>@iFe^#F17$Fex$\"3<8)>N\")>N\"GF 17$Fjx$\"3$G6r*=U9=JF17$F_y$\"3\\FV\"=B@R%F17$Fcz$\"3p#zMDD5=s%F17$Fhz$\"3?S @^,u8b]F17$F][l$\"3W))[x\"*[x\"R&F1Fb[l7#-F(6$7S7$F,$!3ksttttB')=Fgq7$ F3$!3Mp7qPyQv=Fgq7$F9$!3)*3\"3\"*4j!p=Fgq7$F>$!3aW7[dhWo=Fgq7$FC$!3cOf V!ys^(=Fgq7$FH$!3#e]a$o9d\"*=Fgq7$FM$!3#yGl,Qu5#>Fgq7$FR$!3=rt:_1'*o>F gq7$FW$!3m#4&z$4&zV?Fgq7$Ffn$!352a\"yYi/;#Fgq7$F[o$!3/,Q$R,LtM#Fgq7$F` o$!31y_Bn*[*Fas7$ Fgv$\"3ez1b!o]0=\"F17$F\\w$\"3VM&3`G#3G9F17$Faw$\"39)ot#*ot#*o\"F17$Ff w$\"3QC#y]IdA'>F17$F[x$\"3M,:KdJ\\XAF17$F`x$\"3A9L`7'*pPDF17$Fex$\"3`( 3,y3,y$GF17$Fjx$\"3Da%G-/))[9$F17$F_y$\"3CV4yyf=eMF17$Fdy$\"3w\">a\")> Jqx$F17$Fiy$\"3&3bAZe^35%F17$F^z$\"3tsB1%H^\"HWF17$Fcz$\"3;1v4:%)\\hZF 17$Fhz$\"3INHqg\\^(4&F17$F][l$\"3I$ooooooV&F1Fb[l7#-F(6$7S7$F,$!3m+--- --->Fgq7$F3$!3o5se>d8\"*=Fgq7$F9$!3]s%GsCA[)=Fgq7$F>$!3m#y%QM^F%)=Fgq7 $FC$!3]1%*)HIZ6*=Fgq7$FH$!3j92)))y\"z2>Fgq7$FM$!3!*R;j&4xw$>Fgq7$FR$!3 'f5&*4bQh)>Fgq7$FW$!3g5E$=hK=1#Fgq7$Ffn$!3_-C9pT!)z@Fgq7$F[o$!3IB.1(GI (oBFgq7$F`o$!39?%zl+K4p#Fgq7$Feo$!3)[tttttBJ$Fgq7$Fjo$!3a)e]//2D([Fgq7 $F_p$!3wv9Iw90S9Fee`m7$Fdp$\"3&\\e-uf_'GzFgq7$Fip$\"3kgqqqqqqBFgq7$F^q $\"3ak7lS&G@3\"Fgq7$Fcq$\"3c1?????&R%F17$Fiq$!3!3FEEEwj0\"Fgq7$F^r$\"3 r\"=/Z=/Z$fF17$Fcr$\"3cyof]T#3'GF17$Fhr$\"3(4QeRkj5h\"F17$F]s$\"3'>%*4 EIGE8*FasFbs7$Fgs$\"3[gr\"\\LE1k#Fas7$F\\t$\"3[I<];y]&\\\"Fas7$Fat$\"3 .0c]0c]I7Fas7$Fgt$\"3?#)ome.sG;Fas7$F]u$\"33VfH8#H8a#Fas7$Fcu$\"3i3w,7 w,iQFas7$Fhu$\"3EFw3sRW7bFas7$F]v$\"3^yypg^ULuFas7$Fbv$\"3'yoScKA$z&*F as7$Fgv$\"31e4'yQK9>\"F17$F\\w$\"3%>e!>r0*4W\"F17$Faw$\"35`\\Ia\\I/F17$F[x$\"3a-U*=P:]E#F17$F`x$\"3#HVZHgr&fDF17$Fex$ \"3WhB3iB3iGF17$Fjx$\"3A&z&[h=jrJF17$F_y$\"3cevQ\">Su[$F17$Fdy$\"3F4L[ D*Q)3QF17$Fiy$\"3J!pN2#=DNTF17$F^z$\"3Mz$GpSzhY%F17$Fcz$\"3h>-mxl=,[F1 7$Fhz$\"3JJP*)>D*)R^F17$F][l$\"3;yC'>[i>[&F1Fb[l7#-F(6$7S7$F,$!3.HIIII !y\">Fgq7$F3$!3P_JZ,O)o!>Fgq7$F9$!3mN)[`R\"e+>Fgq7$F>$!36@$)G6T5+>Fgq7 $FC$!3WwGaD=72>Fgq7$FH$!3!Q#pS4@,C>Fgq7$FM$!3G\"*z46)zU&>Fgq7$FR$!32TG $)\\kJ.?Fgq7$FW$!3aG,()H,()z?Fgq7$Ffn$!3%zRp/(e9*>#Fgq7$F[o$!3?Xo=gv7! R#Fgq7$F`o$!3'=c$)zP1er#Fgq7$Feo$!3k\"RRRRRRM$Fgq7$Fjo$!3)p%)[#Q,\"4# \\Fgq7$F_p$!3CsssssAb9Fee`m7$Fdp$\"3@@vYKv'*>!)Fgq7$Fip$\"3vc#*Gl^](Fas7$F bv$\"3a+e,KB(*o'*Fas7$Fgv$\"3xO7<&49B?\"F17$F\\w$\"3mHE2d))*QX\"F17$Fa w$\"30=iL>iL>F17$F[x$\"3u.pY'ePXG#F17$F`x$\"3/_: O$fV9e#F17$Fex$\"3!ejjjjjj)GF17$Fjx$\"3kOJu#ov$)>$F17$F_y$\"3)Q<%*RS%p ;NF17$Fdy$\"3yEC\"GlY1%QF17$Fiy$\"3wH)[n0_'pTF17$F^z$\"3%fQ%z>v?.XF17$ Fcz$\"3'R$HASZ(3%[F17$Fhz$\"3IFX3z+F#=&F17$F][l$\"3+ti0xi0FbF1Fb[l7#-F (6$7S7$F,$!31deeeeeL>Fgq7$F3$!32%4fL[JE#>Fgq7$F9$!3=*>pMaSj\">Fgq7$F>$ !3@f=>)3Lf\">Fgq7$FC$!3QYj4[j4B>Fgq7$FH$!3(H8L*HCBS>Fgq7$FM$!3OVVcED)3 (>Fgq7$FR$!3&edq'[V\\??Fgq7$FW$!3?Zw!zk2z4#Fgq7$Ffn$!3+$R'zrv[=AFgq7$F [o$!36nLJL[_6CFgq7$F`o$!3B.xQ\\2oSFFgq7$Feo$!3oZ]]]]]vLFgq7$Fjo$!3%o5Z gB8$p\\Fgq7$F_p$!3soI:pISq9Fee`m7$Fdp$\"3jaC`nCG6\")Fgq7$Fip$\"3:u$QQQ QQV#Fgq7$F^q$\"3%=MWYD&)*>6Fgq7$Fcq$\"3Ur&eeee3r%F17$Fiq$!3,^se>-+1(*F 17$F^r$\"3A!f;Xf;X%eF17$Fcr$\"3S;_)[7wk%GF17$Fhr$\"3Gl=K'G!p3;F17$F]s$ \"3tXD))*\\'pI\"*FasFbs7$Fgs$\"3zJ>F%>`;k#Fas7$F\\t$\"3f%='f'e5>]\"Fas 7$Fat$\"3Es$\\GP\\yC\"Fas7$Fgt$\"3i5\\;>/[i;Fas7$F]u$\"3S\\eEsI['f#Fas 7$Fcu$\"3D*=bH>bH%RFas7$Fhu$\"3#R5)>_9*Hi&Fas7$F]v$\"3A,X\"yT0pd(Fas7$ Fbv$\"3)4\"4RQBie(*Fas7$Fgv$\"3[::[-e>87F17$F\\w$\"3ixY&H92oY\"F17$Faw $\"3,$[nV[nVt\"F17$Ffw$\"3Bzg\"e#[(R,#F17$F[x$\"3R0'R5!)fSI#F17$F`x$\" 3=rcx$e:Lg#F17$Fex$\"3;5\\k5\\k5HF17$Fjx$\"3`y/+/&>^A$F17$F_y$\"3?*y+m h[fa$F17$Fdy$\"3uW:9!QaC(QF17$Fiy$\"3Bp>w#H_S?%F17$F^z$\"3w!RgEjN-a%F1 7$Fcz$\"3UZcy-Hc!)[F17$Fhz$\"3TA`FQwkC_F17$F][l$\"3'y1]@2]@d&F1Fb[l7#- F(6$7S7$F,$!3W&ooooo$\\>Fgq7$F3$!3wN]Cl$z$Q>Fgq7$F9$!3qi&*e\"p*4K>Fgq7 $F>$!3o(R&4l?wJ>Fgq7$FC$!3K;)\\1(32R>Fgq7$FH$!3yT$f/v_k&>Fgq7$FM$!3W&p I?C&[()>Fgq7$FR$!3i5$3vCsw.#Fgq7$FW$!38l^%f;Xf6#Fgq7$Ffn$!3U)QBJFHyB#F gq7$F[o$!3Q*))Rk5AHV#Fgq7$F`o$!3oX=z?^blFFgq7$Feo$!3V/222222MFgq7$Fjo$ !3+m`%QL;x,&Fgq7$F_p$!3=l)yb')yb[\"Fee`m7$Fdp$\"3!4R(f-uf-#)Fgq7$Fip$ \"3aISSSSSlCFgq7$F^q$\"3o!)3k6O\"*Q6Fgq7$Fcq$\"3=boooooo[F17$Fiq$!3SB& \\i,>rF*F17$F^r$\"3E'zA%*zA%*z&F17$Fcr$\"3J&QH?6-$RGF17$Fhr$\"3b2O]2O] 2;F17$F]s$\"3;[)=&)fI(H\"*FasFbs7$Fgs$\"3*oJ\\Rim@k#Fas7$F\\t$\"3P6Mkr >60:Fas7$Fat$\"3!eD@lD@lD\"Fas7$Fgt$\"3)\\#RT\\/Oz;Fas7$F]u$\"3c-3v,+1 CEFas7$Fcu$\"3')zRU$)RU$)RFas7$Fhu$\"3OVLD#>l#ycFas7$F]v$\"3!4\"GPYbk[ wFas7$Fbv$\"3aAgwWBF[)*Fas7$Fgv$\"3>%z\"z4v2C7F17$F\\w$\"3ODn$)Garz9F1 7$Faw$\"3=[()R\\()R\\yDDL'=D$F17$F_y$\"3 '\\S2#HG?vNF17$Fdy$\"3Fi1Z2@E/RF17$Fiy$\"3\"y5v(GDXQUF17$F^z$\"3O(REbu jsd%F17$Fcz$\"3wh$[`1^-#\\F17$Fhz$\"3U=hY(>DqE&F17$F][l$\"3gjQCnQCFgq7$F3$!35x48Zs7a>Fgq7$F9$!3AE*4(R)ey%> Fgq7$F>$!39O*)*>/\"fZ>Fgq7$FC$!3E'G.KRX]&>Fgq7$FH$!3%4b&)42tE(>Fgq7$FM $!3!o/(\\dz3/?Fgq7$FR$!3SXgMY,&[0#Fgq7$FW$!32$o#)Ro#)R8#Fgq7$Ffn$!3%QQ ]W(4VX#Fgq7$F`o$!3/()f>#\\H/z#Fgq7$Feo$!3ZgjjjjjQ MFgq7$Fjo$!3;DOkJ%>h1&Fgq7$F_p$!3nhY+iYv+:Fee`m7$Fdp$\"3KCBmPB\"RH)Fgq 7$Fip$\"3e'oppppp\\#Fgq7$F^q$\"3_>ujo>%y:\"Fgq7$Fcq$\"3qEO0!oUEFas7$F\\t$ \"3:Q1pcLJ3:Fas7$Fat$\"3MRJ>SJ>l7Fas7$Fgt$\"31RHmz/C'p\"Fas7$F]u$\"3;b dBJpj^EFas7$Fcu$\"3*)pF*Qx#*Q-%Fas7$Fhu$\"3p\"e3B$*QNt&Fas7$F]v$\"3g?6 $\\n&Q?xFas7$Fbv$\"34M69^B#z$**Fas7$Fgv$\"38t?5<#f\\B\"F17$F\\w$\"3'Gx =ZrBE\\\"F17$Faw$\"398+V9+VkS\"=/dWg$F17$Fdy$\"3zz(*zM)pg$RF17$Fiy$\"3GZ#)ykF&GF%F17$F^z$\" 3(RS#Re=H9YF17$Fcz$\"3Av5\"zAR*f\\F17$Fhz$\"3T9plcFS4`F17$F][l$\"3YewL iwLicF1Fb[l7#-F(6$7S7$F,$!3=UVVVV$4)>Fgq7$F3$!3!)=p,H^()p>Fgq7$F9$!3Q* GIy)zhj>Fgq7$F>$!3CuC!*=+Uj>Fgq7$FC$!3?cnv:*>5(>Fgq7$FH$!35g<^\"R$*))) >Fgq7$FM$!3)))RjHn!p??Fgq7$FR$!3_!y$=X!G?2#Fgq7$FW$!3-,-----_@Fgq7$Ffn $!3EztxvE^wAFgq7$F[o$!3cLHp_mrvCFgq7$F`o$!3[H,gjQI:GFgq7$Feo$!3A%)F17$F^r$\"3b1_B4_B4dF17$Fcr$\"3gBxJ'3a\\#GF17$Fhr$\"32#4 n)\\-80;F17$F]s$\"3#3X\"z&z)zF\"*FasFbs7$Fgs$\"35(3/L[$>VEFas7$F\\t$\" 3$\\'ytTZ^6:Fas7$Fat$\"3;B]'Q-lQF\"Fas7$Fgt$\"39`>\"*40788l %F17$Fcz$\"3o)yt/RF'**\\F17$Fhz$\"3U5x%eJ!y^`F17$F][l$\"3I`9Vd9V2dF1Fb [l7#-F(6$7S7$F,$!3cqrrrrr'*>Fgq7$F3$!3]gG!4,Bc)>Fgq7$F9$!3!Hl]f8x$z>Fg q7$F>$!3O7g!e**[#z>Fgq7$FC$!39E-JQW*p)>Fgq7$FH$!3\"*oz.7P60?Fgq7$FM$!3 h](H%)Q$HP?Fgq7$FR$!3I::-Wf?*3#Fgq7$FW$!3'*=x0?x0q@Fgq7$Ffn$!3ouV5xV&e H#Fgq7$F[o$!3#eX>e#R6(\\#Fgq7$F`o$!3&3F/]By,%GFgq7$Feo$!3)Rnnnnn<]$Fgq 7$Fjo$!3wU,CFc#H;&Fgq7$F_p$!3iai&[D16`\"Fee`m7$Fdp$\"3-%>#z2Aaw%)Fgq7$ Fip$\"3Q**45555gDFgq7$F^q$\"3;(\\IEo)p&>\"Fgq7$Fcq$\"3p/<<<<CT'3WeFas7$F]v$\"35Tx/Kf'Q 'yFas7$Fbv$\"3hN\"*QOAs65F17$Fgv$\"3aIEsJEsc7F17$F\\w$\"36oG['GS%=:F17 $Faw$\"3CVD\\WD\\%z\"F17$Ffw$\"3->K8?:$H3#F17$F[x$\"336/Lf'[@Q#F17$F`x $\"3#o9Kaa.3p#F17$Fex$\"392+x2+x2IF17$Fjx$\"3!H%)H!*y%4KLF17$F_y$\"3W] s-na'Hm$F17$Fdy$\"3s:!e%*G&o**RF17$Fiy$\"3>EX\"oB`;M%F17$F^z$\"3Q:W7%3 [$)o%F17$Fcz$\"3..l.`bJR]F17$Fhz$\"3_0&Q](y:%R&F17$F][l$\"3/\\______dF 1Fb[l7#-F(6$7S7$F,$!3e)*********\\7?Fgq7$F3$!3$=!))y#*3P,?Fgq7$F9$!31; 52%GO^*>Fgq7$F>$!3!3b4F(z2&*>Fgq7$FC$!32'pj3'*oH+#Fgq7$FH$!33yTcKSL@?F gq7$FM$!3M-h*Q5'*Q0#Fgq7$FR$!32]#fG%QQ1@Fgq7$FW$!3EP_4Q_4)=#Fgq7$Ffn$! 35q8Vyg>:BFgq7$F[o$!3txf%*)>6&=DFgq7$F`o$!3e7%3kg_]'GFgq7$Feo$!3tILLLL LLNFgq7$Fjo$!3!>SQ]sG8@&Fgq7$F_p$!35^?G^?GY:Fee`m7$Fdp$\"3GIr&G9dyc)Fg q7$Fip$\"3[cmmmmm\"f#Fgq7$F^q$\"3kNqiRqi97Fgq7$Fcq$\"3y&)***********\\ &F17$Fiq$!3=6')*G?%fhvF17$F^r$\"32:w/>w/>cF17$Fcr$\"3Whggggg5GF17$Fhr$ \"3Qw0B#*ov-;F17$F]s$\"3eaS1$*p'e7*FasFbs7$Fgs$\"3(*e)eEM?Uk#Fas7$F\\t $\"3\\=B$=^xOMFFas7$Fcu$\"3oT\"*HX\"*HXTFas7$Fhu$\"3!*)HuC:g$**eFas7$F ]v$\"3+`gggggNzFas7$Fbv$\"3)okEqB(o?5F17$Fgv$\"3E4H.RVgn7F17$F\\w$\"3% e\"\\Os&[8`\"F17$Faw$\"3?3Q_4Q_4=F17$Ffw$\"3w.Dr$pq,5#F17$F[x$\"3H7J!R (3n,CF17$F`x$\"3(fEYe`vEr#F17$Fex$\"3%>G^?G^?.$F17$Fjx$\"3M%=(G5'Q)eLF 17$F_y$\"3wlQjz'>Ap$F17$Fdy$\"3zKry;I\\JSF17$Fiy$\"3mlw#GZ`gP%F17$F^z$ \"3+A/*p>w`s%F17$Fcz$\"3[;#*f:P+z]F17$Fhz$\"3_,$HUVNlV&F17$F][l$\"3!R/ >w/>wz&F1Fb[l-%+AXESLABELSG6$%\"xG%!G-%%VIEWG6$;F,$\"\"&F.F]`en" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT 266 39 "II) Approximations et erreurs po ssibles" }}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 427 "D'apr\350s ce qui p r\351c\350de, la commande plot (f(x) ...) de Maple ne dessine pas le g raphe de la fonction f(x) mais le graphe d'une approximation g(x) de f (x). Celle-ci obtenue par interpolation lin\351aire \340 partir d'une \+ subdivision finie de l'ensemble de d\351part de f. Interpolation lin \351aire signifie que l'on remplace le morceau de courbe par un segmen t de droite que l'on appelle la s\351cante. Voici un dessin qui illust re ce proc\351d\351." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "f:= x-> x^2 +0.2: A:= [seq([j, f(j)], j=-3 .. 3)]:" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 27 "plot(\{f(x) , A\}, x=-3 ..3);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$!\"$\"\"!$ \"3G*************>*!#<7$$!3!******\\2<#pGF-$\"3y`:ZBmSK%)F-7$$!3#)*** \\7bBav#F-$\"3UgJyY*eBz(F-7$$!36++]K3XFEF-$\"3>W\\?xy\\.rF-7$$!3%)**** \\F)H')\\#F-$\"3QzE([,^JW'F-7$$!3#****\\i3@/P#F-$\"3$)H'Qh7'*)=eF-7$$! 3;++Dr^b^AF-$\"3]iUC\"F-$\"3s\"F-7$$!3u*******>#z2))Ffp$\"3G $3QQM?xv*Ffp7$$!3S++]7RKvuFfp$\"35K%z'fn/)e(Ffp7$$!3s,+++P'eH'Ffp$\"3e qx*G(**yjfFfp7$$!3q)***\\7*3=+&Ffp$\"3?UkrR#4=]%Ffp7$$!3[)***\\PFcpPFf p$\"3A[[>B.'4U$Ffp7$$!3;)****\\7VQ[#Ffp$\"3#f(4'pmZph#Ffp7$$!32)***\\i 6:.8Ffp$\"3k4DB&H?)p@Ffp7$$!3Wb+++v`hH!#?$\"3JRO/2x3+?Ffp7$$\"3]****\\ (QIKH\"Ffp$\"35S`^$[Ws;#Ffp7$$\"38****\\7:xWCFfp$\"3Y`J$[x!p(f#Ffp7$$ \"3E,++vuY)o$Ffp$\"3k)G89Bz/O$Ffp7$$\"3!z******4FL(\\Ffp$\"3!*Q%fVC)Rt WFfp7$$\"3A)****\\d6.B'Ffp$\"3U'*y:K#y;)eFfp7$$\"3s****\\(o3lW(Ffp$\"3 ;'H,L;\\]a(Ffp7$$\"35*****\\A))oz)Ffp$\"3\"QO9VCC&Q(*Ffp7$$\"3e******H k-,5F-$\"3'RaeN\"R0-7F-7$$\"36+++D-eI6F-$\"3w]5;X;@y9F-7$$\"3u***\\(=_ (zC\"F-$\"3q4ThY@WdPF-7$$ \"3P+++!)RO+?F-$\"3sT9[_gX,UF-7$$\"30++]_!>w7#F-$\"3$y*4cKGwEZF-7$$\"3 O++v)Q?QD#F-$\"31._uWjqz_F-7$$\"3G+++5jypBF-$\"3D$[FF-$\"3m`(R=ngKv(F-7$$\"37++D6EjpGF-$\"3d$\\\\NK\"zM%)F-7$$\"\"$F*F +-%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*F_[l-F$6$7)F'7$$!\"#F*$\"3;+++++++UF -7$$F^[lF*$\"3%**************>\"F-7$F_[l$\"35+++++++?Ffp7$$\"\"\"F*Fj[ l7$$\"\"#F*Ff[lFez-Fiz6&F[[lF_[lF\\[lF_[l-%+AXESLABELSG6$Q\"x6\"Q!F[]l -%%VIEWG6$;F(Ffz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 257 "" 0 "" {TEXT 287 10 "Exercice 3" }{TEXT 288 3 " : " }{TEXT -1 94 " Ici A est le gra phe d'une fonction affine par morceau, que vous pouvez expliciter. Fai tes le." }}{PARA 257 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT -1 238 "Nous allons maintenant fabriquer un exemple o\371 cette fa\347 on de prendre des approximations, induit une erreur grossi\350re. On v a l\351g\350rement perturber la fonction f pr\351c\351dente avec un lo garithme dont l'influence va \352tre ressentie \"localement\"." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "plot(ln(abs(x))/1000 , x=-0. 01..0.01);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-% 'CURVESG6$7ao7$$!3-+++++++5!#>$!3#34))f=q^g%!#?7$$!3anmm;p0k&*F-$!3Ohv EyKu\\YF-7$$!3'HLL3Hn)*QT+,&F-7$$!3g****\\(y$pZiF-$!3ok)Gt(Gav]F-7$$!3mK LL$yaE\"eF-$!3IPD.zyrZ^F-7$$!3Mmmm\">s%HaF-$!3us?._L\"f@&F-7$$!3C***** *\\$*4)*\\F-$!3!*fd\")ovp)H&F-7$$!3w******\\_&\\c%F-$!3]35$ycY$*Q&F-7$ $!3#*******\\1aZTF-$!3[8F'[tR_[&F-7$$!3imm;/#)[oPF-$!3W5$*zk83\"e&F-7$ $!3TLLL$=exJ$F-$!3aD*=,(fY3dF-7$$!34LLLL2$f$HF-$!3!z3(pg2tIeF-7$$!3E++ ]PYx\"\\#F-$!35:k`;,w%*fF-7$$!3sLLLL7i)4#F-$!3_*HNaquk;'F-7$$!3s****\\ P'psm\"F-$!3MbO9Qzc'R'F-7$$!3u****\\74_c7F-$!3)*)3lwb3%zmF-7$$!3!)>LL$ 3x%z#)!#@$!35@,wf0c'4(F-7$$!3:@L$e9d;J'Fdr$!3![jTx5UzO(F-7$$!3_ALL3s$Q M%Fdr$!3qY\"3^E#eTxF-7$$!37dmT&QdDG$Fdr$!3'3>0Fc<<-)F-7$$!3q\"***\\ivF @AFdr$!3\"eq7I'yD7%)F-7$$!3+f;/^wj!p\"Fdr$!3y1a*egM_o)F-7$$!3IELeRx**f 6Fdr$!3gr[\\:B#>1*F-7$$!3Q*fT&QyxY*)!#A$!3%HcXb,K;K*F-7$$!3'e$*\\7GyNH 'Fht$!3;M'p=n&Rt'*F-7$$!35/Tg-&yp'\\Fht$!3/`')*ov8,\"**F-7$$!3Ms#eRsy. k$Fht$!3zS!pVx$3A5F*7$$!3eSCJX*yPJ#Fht$!3YF8+PVSn5F*7$$!3?)3mmm\"zr)*! #B$!3Gd\"[%>He_6F*7$$\"309*3Fp^y!RFbv$!3?\"*oTxADX7F*7$$\"3k\"R3_]\\(o &p>$eF-7$$\"3smmmmZvOLF-$!3@$G v5dcFq&F-7$$\"3w,++]2goPF-$!3I2IE+:0\"e&F-7$$\"3'RLLeR<*fTF-$!3iYpnh+E #[&F-7$$\"3U,++])Hxe%F-$!3[aVJj*pVQ&F-7$$\"3Wmm;H!o-*\\F-$!3qi8SdcE+`F -7$$\"3X++]7k.6aF-$!3Vbl*4j9$>_F-7$$\"3;mmm;WTAeF-$!3%=,S]DSg9&F-7$$\" 3%)****\\i!*3`iF-$!3aF^L(ozY2&F-7$$\"31MLLL*zym'F-$!3SEWl?LX5]F-7$$\"3 kMLL3N1#4(F-$!3CKX)e$*y([\\F-7$$\"3]om;HYt7vF-$!3E&osxub6*[F-7$$\"3/-+ ++xG**yF-$!3n!>J\")o#)4%[F-7$$\"3\\pmmT6KU$)F-$!3k9_)py8ky%F-7$$\"3+OL LLbdQ()F-$!3X " 0 "" {MPLTEXT 1 0 45 "F:= x -> x ^2 + 0.2 + ln(abs(x-0.3421))/1000 :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "plot(F(x) , x=-1 ..1);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$!\"\"\"\"!$\"3n@9bNUH+7!#< 7$$!3ommm;p0k&*!#=$\"3%)ox=hI(\\6\"F-7$$!3wKL$3s%HaF1$\"3U%4/_o&pY\\F17$$!3Q+++]$*4)*\\F1$\"3a]o)))))yj \\%F17$$!39+++]_&\\c%F1$\"3125dOEj\"3%F17$$!31+++]1aZTF1$\"3A;=4'\\Bur $F17$$!3umm;/#)[oPF1$\"3g/-W$o]oT$F17$$!3hLLL$=exJ$F1$\"3?;\"**>%[!o4$ F17$$!3*RLLLtIf$HF1$\"3Mz3)G`Qu&GF17$$!3]++]PYx\"\\#F1$\"3(*[%4bQRch#F 17$$!3EMLLL7i)4#F1$\"3-iwd\\$yWV#F17$$!3c****\\P'psm\"F1$\"3!4Dx;LA7F# F17$$!3')****\\74_c7F1$\"3+;`#>J'G]@F17$$!3)3LLL3x%z#)!#>$\"3!y*eQ.1** f?F17$$!3KMLL3s$QM%Fer$\"3Gfz;wxL4?F17$$!3]^omm;zr)*!#@$\"3?FEDQ?J*)>F 17$$\"3%pJL$ezw5VFer$\"3:G\"*[Y$4l+#F17$$\"3s*)***\\PQ#\\\")Fer$\"3UQO ?#piH0#F17$$\"3GKLLe\"*[H7F1$\"3'y1'**>W)f8#F17$$\"3I*******pvxl\"F1$ \"3sFvV$)=&fCf#F17$$\"3B)****\\2'HKHF1$\"3ZQQy\">]'HGF17$$\"3Elmmm ZvOLF1$\"3eptY`rilIF17$$\"3i******\\2goPF1$\"3-323.Bk'Q$F17$$\"3UKL$eR <*fTF1$\"3%4))f;tRWq$F17$$\"3m******\\)Hxe%F1$\"3[)>$3:FC$3%F17$$\"3ck m;H!o-*\\F1$\"3w*=MAudJrtVar>qF17$$ \"3Nmm;HYt7vF1$\"31.m%)**>=NwF17$$\"3Y*******p(G**yF1$\"3WMEWt6%=B)F17 $$\"3]mmmT6KU$)F1$\"3G#zJB7UB&*)F17$$\"3fKLLLbdQ()F1$\"3wnQ(*eX&*H'*F1 7$$\"3[++]i`1h\"*F1$\"3TSWErgpQ5F-7$$\"3W++]P?Wl&*F1$\"3d#>ulx*[96F-7$ $\"\"\"F*$\"3m4^m(H\"e*>\"F--%'COLOURG6&%$RGBG$\"#5F)$F*F*Fa[l-%+AXESL ABELSG6$Q\"x6\"Q!Ff[l-%%VIEWG6$;F(Fgz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 120 "Pour analyser ce qui se passe, augmentons la pr\351 cision et diminuons le cadre, il ne s'agit pas d'un zoom photographiqu e " }{TEXT 267 25 "mais d'un nouveau calcul." }{TEXT -1 1 " " }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "Digits := 300: plot(F(x) , x =0.34 .. 0.35); Digits:=10 :" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7\\o7$$\"#M!\"#$\"g]lt(4^sLP'*pl\"\\3@Y I^_&ok=U.>Np![g%)[pQ+CK$f_]Zyl%eB&zy&yANn--a&*yaoMV'=FuV&)RSe$z&G90O&* [5m`P'zqFBYl`/77Sm-regJTA/@VIV&GHjt/F/,`!on:A\"QfiDm1tT&*Goc3'*)=iN*Qxg@Rs`2$fHd$3Z](4#o=rt#GrDCBQ2ZWXF'p(*)oMX]xhLXg9C=wH9jPmyJVI'GZ4$ F-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLe9ui2/MF-$\"g]lA'=bvKEDs,<9*z%RBHL53Ys%pA0;SsEC#))=Bv*3!y 7p<@B#)z`DNf/ThR[$>w9io!*4&4s8_1tB$y`Q<'>8;Utmvy$\\([9-Hi.=%*H6oK!p%G$ H?7$))35'ehWtokq%4xC*4TVq`CS!>WX!fz$*e\"))H\\;9htBEFLT'*Gd\\4$F-7$$\"g ]lnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmm;z_\"4iS$F-$\"g]l>\\ZUoVA,1!HCHKiVBZB?u$4#)z!ofR&p_GJ7fMF7:j6dJGY dMOPx]tbtJXD*Rz,$4cnF2(Q^3vQPN*GbJhRQ%y$)\\>`V[SFcj8n)QB6hF1&4$F-7$$\"g]lnmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm;aphN3MF -$\"g]lSzise\"GFfc!3arVO$o]ngFG]S[=3NP;1p/q![K(=rt8*3q)RVT(38;HSXw'4Y' z1Fva4&42*4Y2qv;zq1\\\">6p\\'*R?&H#>HT$G&pmZoX&\\QoS?w#**y\"y0?WS&4bPn ^kZi=Z7%*>C\\8X*=jBM4*>YR\")4`AT[^zzYd\\4$F-7$$\"g]lLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLe*=)H\\5MF-$\"g ]liJ8W^*>0MU\"=!4n\\)e?NG/3CoF#fZd)4(p82akIJ/Qcs`&RV!>9_bzy\"*HW-_0t\\ esWHrOirS%\\RnS*y^DwxDWnP&p3)3i'y\\rg0#H _HwJ\"Gv7qpGj^^Au&*GsKGpkWRR[oKc%4$F-7$$\"g]lnmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm\"z/3uCT$F-$\"g]l:Z+PZk-Vi*e=dI*Gd?g1q1Wb+)pIpcFbDU!y\\3z[lF'>\"Rjsk =8.=V&\\#[+JS#*y/<$Rj6%4*H,MWKUj**eZb&)pL,A#Q'4Tr\">P4C1AMD2sX$*yvZuh8 ;mY\"e2!f#\\=e.f)[Tzk+kDQ4$F-7$$\"g]l+++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++DJ$RDXT$F-$\"g]l;iLO;'ziTf\\$4 2xQl*)pIZ$*Rg.?b]^Ev$Hh/Cg@3\\F9*R`&4,ms3N7q/)o/T2N$)[(Hr'p 1[j48ek#*)=qZ!fH#>D\"Qw)H&>OV3#p%Rmavn(pXX(HXEb'*>NWO!Q=6Xofum\\$RA#Hv $)4?n#fvJ_\"e+G1TQZ#4$F-7$$\"g]lMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLekGhe:MF-$\"g]l0!zs=s(z?#o]r=OD')e \")*=g0$Rl\"4vy[g/L%*>e3o*[_B;;y'\\xhp'RR9a5^B^\"*H::6y\"R$eB^S$=ZW3U! >Gomc$G$=(3$fOQ*>?`TtK\"4_S@HU.FslA:zClf@VRF\\bd?4j+?$=8*f5NMxU\"Rghlf 5Fc\\ndQ@z+\"494$F-7$$\"g]lnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmm\"zR'ok;MF-$\"g]lNGK*pq#G%z1\")*>&f)p5LM tN]8xK/#*GMy<-V>#)[d!p_ERi5>]I.Ef&yw:O#QsyZqW(3Q*fXEtFZ/HT*>#R\\2Y%HcL xl$Rb)Q(*)\\\"*R_=P$3cJ`x(3^\\\"==eZSP%RsowKoowOf(R)=\"y,j'fWtC'\\\"Rp p0.Mny`*4pSJ&**3$F-7$$\"g]lMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLL3_(>/xT$F-$\"g]l2[*y21&4*>,P+tW\"3-9T&)3 :%eZM'G!fCA.x'R]m$e!=j*\\kv05#>Z7_.I5Ci2wAS*Rtp\\#z#*3HD6C=X:`Ebz+#[z= (z!GL$4qJ>E^HDU.6q4$f*G)QYLCQjH7KCjL%Gefl7VazgtDg.**G7PAo\\:*)zy.mdKNG \"H$*y3$F-7$$\"g]l++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++D1J:w=MF-$\"g]l[cHnyOR>(z;`Z7c@acr`@)e*=')=-a1TsP D4t_-wtbxQ[q_6GP$>B4)QO)\\s`1Kt%*f$Q'p$y^n\"=L4F@([(*>8\"y([!='=)RLddQ s)QeGyTe,o[nHDw'exqeQ:Uttj*Q7`1&)H-#pn&pD4h\\W\"Q64()yeW<:FZ(G\"evu%3$ F-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLL3x\")H`I>MF-$\"g]l;/J;9=za`tLu!o:\"[()*\\#R$HiEq'fJ@E)*p/h $fi@^gvf.f3Fjj&R!p(H^R*p'e8GB=tZl0FN\"*=7#Q*R`0h&QZzg[9`b@^n#o$H(z'fJy 3gD)pfc**GwqRu3Hgna@=Xh#Q%)zpaQ!QAMF-$\"g]l&H&=_5>TMeN'QQ'o2b[zJ1U!p.R29moLeq?`_=[\"R:$4%o C))[8y\\$=j%=/%Glp.!HlD>Dt26k$fL\"RjLH(*\\i&=GTXba-h(>aB2?NJI#*y3rTh_] $Gh>n#y_Vw41!4j7'peuLeO#)[397MRa[L>S%**ep.&[CB8o'fQ)yIF-7$$\"g]lLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL$3_]z -@,U$F-$\"g]l]KS4/t*GN,m,;n=)))o6wd-g&Hdw@a.Lf%QDT_z0%[[ ,7$[uT.sI!R#z$o50A*e<&el*=X%GYNgYZO_q=mi]!3\"o\"[:!H*y9H!>![m#)GVt)oo? DM;FH#\\coGu69$=MojA/m$HV1yW;qA1v[U1f$Hj2$F-7$$\"g]l****************** ********************************************************************** ********************************************************************** ********************************************************************** *******************************************************\\7Gt#HR?MF-$\" g]lJ\\RHh2R=#>6\"o2Z_3O)*4\\0c+\"ecC.`X**\\G7Z\\@YEWRA8CTV_?)3xUGozNO! )3pYM\")y0n8MJ6H?(Q^#o=g8\"eV,]L#z)3W^%QkloM9?^%>\\fv2!ygw<5L$3YwMr6,M XB0(oY!ySLGOo%*QMmJ+Z09]Uah?\"H1V\"G2$F-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL3Fp,x)G0U$F-$\"g]lAU$ )Rd'*)**z\"3$GWl&pH7hwQ8#)3tC-37\\H!yQrJF'fr)3kl5%=XuF=`(4.M\"f6F]]3%= Q4rn&*\\,2Ul8BT?C!o%*fwY\\Ly2fTprRK\"f4s4,dEE;sArVffIUz5=gTX5s^)*e/`G \"=k%=lsFF-m#>USB&pTw8o*f/:?PqIF-7$$\"g]lmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm;HdqE[m?MF-$\"g]lZ#>1C&\\ym= *4@w7i6-(R*G-kt=\\MTp.\\8w&)R0%pNS,SKKL\"H],ms$[&zb?q\"zqDd=ULs*)*oC9n %*fg1(y3$pT`ZA.i)[1<9^%)*o$z$onz*4LSCol0CL6#e48m-*)*4,kJNo+!e1RAeWbK- \">SmDLHk]%GK6Lj+hIgq1$F-7$$\"g]l************************************* ********************************************************************** ********************************************************************** ********************************************************************** **********************************\\7`%Rw2!3U$F-$\"g]l!Gi*3'o'>b(y))yW /d^V?0j+D$fa;4mo>SQl!*Hu%e7lfq$QMg-5qe)Gy(3Cw$ o'z(zeI:ft**[].Q$zqbtdPTZ`=o'HV**pH-h%Rq&RQe0[ZyCbS/QJ0=RPHF37I7%RPL^d Is[L1<6&>1$F-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLL3En$4U$F-$\"g]l%fPhy\"oAh$)*yA&[$**R,%\\fOQ29 R=XP!3\">nL3(p(fs?6:'yyRCv\"4%*GyGsS[>I]g!3bAda6\"*H>uJd n0n!4g%)pgpT!GnAV&)pqh)p5#*HMK^HP eu00$F-7$$\"g]l******************************************************* ********************************************************************** ********************************************************************** ********************************************************************** ******************\\7._@w6U$F-$\"g]lJ#>f;H()\\l+T?NrlSwoeC\")4v$>\")R# *QT&*)zjCpdd7d;Z1BAii#3)4koc;!=h,GpY#))y)zF?!4qFDUETp`h))\\!RkUlt]wI\" zhu6*z>()QD8!)oP\"p$QXyryJ-\"e;FDjDC$[pZ&GPh7k&>LUoB;:A*fC*H2mt[,)oHx! )41$F-7$$\"g]lmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmm;HK/dT@MF-$\"g]l$pf[$R160'*o_$>1uMDhS_#>*GpQByxAi(yLbc @\"f!*Hr>m'*[xF$=i()Q\"R:_?nsfLJ2P5![@9@GpP\\Ssp'3=\\LCtC8]\"=&>T\\]F \"**\\puc9I&>n-w7t:F>p&QEKrKm5\\PbBAf%)pXO3$)4ug>MPoK\"z?nQH(pC7GtspIF -7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLL3FW$>b;U$F-$\"g]luPS7d;MI=&H9Q\\a)*)*G`?!yZVRH'zC6Ai\"=x2+A /rj<]`yC$e5uRmB*>$3[S4IH5\"QxFto$*ePmMXGGBvK&yNTp$y\"*\\Ar](o&))>g7%e: AW66-;2.=,V`biw,_=+UyjCsD>gdM<0`vCIY%Qwo$*>a)QpAi)e,v2WuIF-7$$\"g]l+++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Dc#o%*=U$F-$\"g]l#yL)H04T:Td[J)>I2s*yb,&f$o9(\\3<[x-*pqBPV,!>0QwI`rEpV 5voy7\"))RfI?y%3!R(>L,=9fF%Q*f_6,KnX#yG%\\8\"*)QA,&QX0Q5W`?uLx-3Rq?Sra m)Q]GuXl_1O(=NraN\\o\")4.0]N\"G%z,#)y\\.F0KF6^0?x2$F-7$$\"g]lMLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL$3-3mtB U$F-$\"g]l]&\\Em9jgmS))Q,z&ezmV>UXCjImU6*flJ*)H!='*yp`YO^>'y6(*>S3R&e/ L6u@UHOjwyO$yUS\"p\"[SQA[>)pXpA\"pL&*)HaOU'>\"=)\\oEqc2R%=Ok+(*Gqf6xt.$Rm`NB3$F-7$$\"g]lnmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm;/RE&GU$F-$ \"g]l+YyH6*QU;zr,_&\\jHE#zVZ%ex+#H4ymT7\"HboI3`JE\\C/QI\"G&4xP$f QF>N2<48T9LpNFm$*3R0@fLnEEBJY`8z&[N!H)za1A\\U/4zW*GAcz4iLe>C)[*4-6$4wl 8R&y25PSlH$fUalp,/HM1/%oqbksac3$F-7$$\"g]lMLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLe9r5$RU$F-$\"g]lYV)o$pCaG 51nyqIHKA3M5#yVVD=lz=I2_1fSrpw;(QHjNQZMW(Q)[nHD60#y0q6A!eFu,kOV3p(eCz( *zj_T#*QK@r]fyput6'3adE/w'eH*Gah$H0#[$>0*Q*['*yOF:mAwUzSW5o?sLDoQds1Z' p'H$[&R1EOn!)44$F-7$$\"g]l++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++D.&4]U$F-$\"g]l!fD'Q#*f#Qx2uE&QOmVVWg*[V Kb)3va,bFhE)z/@B\"*)GY$o5\\nmrkDooM#H\"fwZnai3&4cm0v;qz#>.sIah`v50EQ;`su_G1\"yTgjio\"H)4C$yb()[]l+JF-7 $$\"g]l+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++v'Hi#HMF-$\"g]l$>.%*=zQ)=e0TmN&>(4(pPW5U-%=EV;Ks\"*3()*)\\< uFa#z)ead:;&4[C:6tO0(zc:mw@%yq#>Zs>6$\\Dw\"HBh(*\\5$F-7$ $\"g]lnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmm\"z*ev:JMF-$\"g]lK]**eiis&42.P)y&=`CjqqVOY!GNy4% GLb\">m=@l$RYZFI[$3uHX*[H)*3yd]7w%fnq7S'f%z>v&G](G(*HO3JF-7$$\"g]lLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL 347TLMF-$\"g]lCiZJ]?AZnL-`!Rzv7[V.VTL8\"oM#fu/tlN;!yBh&pmA2Mf^CkRv\"[. '>@i9O%\\0d(fsT6Sl\\[B#>\\,h.)H,?\"\\%4KT=.>i&pZ/6q'fr>XK.Y$*yZVHG[MP! y!3Dm]=8e_N6mcBi&zyl%f4boo#p\"*zK['*HYBd\\Q\">6$F-7$$\"g]lLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLY.KNMF- $\"g]l@K]#R$fiQ6EqbWI#=G(zVf')Gn)[w#e\"o\\[BR;ktgm[*\\HEoxg`))y')ptD5c w[:')GLeTeX,*\\P*RWvQlN+QFN!p\\XdDHR269Qaw+`rH4jaM$HyF$yLwFOv-$*>#HL'Q #4i*Q6)e34Xt1c*>&3pg.H\"))=o**>:#3/=-t*))[B4(*p$\\p0CZ?nvc&*>Ri(Gi0 =T\\5xem)>=[-VpFxQKK&Hq>&GxZx7mX<)*=AE@s`n2;n6W>%*\\e3)H\"[oQSw7$)R^L# fH!4W2Kpc[o$y]gd'z)4?JF-7$$\"g]l++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++D\"=lj;W$F-$\"g]l#QS*y;&4**e730^I/g /1:$y\"[/d=m\"4Z+lF><;5J1fgs&>(Ro4WqPc*G)=^kC2%G'Qa;p4l`.L7:c#\\xT&)eb >&4(3*e!3*f:Hw(e\">5@.uEK29+8b)H;%*pwSz;,y([)R=:L#o!RIs')oIgOgSOj:[o`1 oQt3[#zbF_oAJF-7$$\"g]l+++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++vV&R\")ePd7B(\\a]$p*)*))e7QAROsbKOdpYo* \\kfi*ypMt>yKLc?EqXhcA/9,a*Rysp&*p#yH*yEc3E39`-(y@%=PL[7*3#R2h$)QaGc`,_DSe&RR![R%eYCiX*>'o8&[ yC=X/Kg#eKp.%3&H+XJ#R'f.)*\\ZqB$['eV![#4p:m86'\\yR52]il%Q@M$f4ggPE9U!> (*Rz3#eT0y4C/yo_V&pH:*pW!4I4T?o6/&f8.\\s`@+3G`%pX*3rt%fdIyDY'fCu7$F-7$ $\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLeR\"3GyW$F-$\"g]l&=V3%4j#GlUJn!R?c08rI5Li)ym!)ptaMJP6^,NxTaep )zj-$4$*>(efVd)3$)=MT$>x$>l:R198fap#>!H\\BG?(***e)RH+&G8HT%eTg'\\p\\o@ \"[g:W*)[yjmf(Rg(fR@.F#fg_'>wg#>(eU./bY_D%e$))4935ke:')oNHaHJF-7$$\"g] lnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmm;/T1&*\\MF-$\"g]lgX'GIB&HEXa')\\x65TAEyDNH?x6Ppq]?w_\\[4['ya,Io'48 !*QNp+O`Px#[HP]]E09]dwDbAW]LN#f6OP#\\Z[NXM\\0#o?K.eCKHb\\9'e>eJc)[fb#* H\"z4lR;\\39Th8Qq'4!p)3\\-lwpe?g(Qa4yDDnq[)4Ji%o<8$F-7$$\"g]lnmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm\"zRQb @X$F-$\"g]lr_7'43@9L&RfP6nQ@[pgg363%QH=\"HEIUxB/&ea%zd6q^UM0*f]p@Fs*[T VhkI![:W*Rr0eo$e/H!4E3M(y#*oN;B5T$[KenNWI<^P*=u*3-:^Ako(e'[cB*[Z$*f$*p *\\h^p&Rnu#eo#>h6CdJq];&zPL%zoD3,l9CS8$F-7$$\"g]l+++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++v=>Y2aMF-$\"g]lV%Q vZXh?,WS9zU\\Hs)p.0D\"H0`=VkxrQG3ypuYDG&\\)oMvTY44%4zVE7.tOSA=HSt=#>P& \\U6K0ZHcoz[+Ie#f9utWl_i9b&zM88X$f@KVA/5!pqg$\\3itIH5h&)HnY4o@#f8Y?+;^ ^'e#e\"f_&f*HOQ%e]t0u%f8$F-7$$\"g]lnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm;zXu9cMF-$\"g]l$[]d=HXvvNKJ*=]D> >J#>:g%Hc[G,R8j'f86)=Q4v4J$[>(pTrnin'fbn>qB%)3_&yEW(4!yop`&*=yl&f??5,r *Rh>\"f_>%y4]%G:1q*=mk2\"R&eM[Z7#olLyvr-Kj2p5=>@i*)e`R/w@BrI\"ztq%Ry(> rTyt?[Kw)z8$F-7$$\"g]l++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++]y))GeMF-$\"g]l<;wKv*e&fb_^/\\*[u(ztZ?-Q)HCT VDIR[g5TQ.:#e?+&poyxx*\\%f.JxR8q:/)**oYd#)e&*)GC&*4c*GUX$eEn(y(>$f_>q! 3QJ0aFd/D?wq%z>^lvlc+(>'=1aGJi;dq$)\\*z#4H&eP-th%Q`6;U,()f%yUi(30IC=W( f+9$F-7$$\"g]l++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++]i_QQgMF-$\"g]l^RY/oj?eFB>\"3,W1!zDg0O3L'QLkz8(fu^Q?$ [\\RvryHfYD2-$f*Riw,'R)zGIv()*G9CjT<+rS]\"=YXG#*RC=\\i*HX.MvKT-oSKnw9C B0@/!)H?!fM4)>I2ej(p]yka]:1')G#\\/R(fXw+rj(4\"oXgnGWcRqDijKA?`a77+>j_(\\?QMYYJp#e`%[0o3m!y;G'e2uJ@Z. An\\G&p57n^R3%>QM6$fNb')4OPa**pPANS5ukb%f[*G\"4'R9$F-7$$\"g]l+++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++]P![hY Y$F-$\"g]lql8Ik._\"H3Nu_zWT\"GkE[9\"*>%*e`)fn $ySDka8z@G]T35zj&[#e]Hh]4'>S'p>cD]d:p:7u)=h\"\\2*\\,oo&=\"\\\\J&p3NCy \"Qdt(H5z**Qud\"yO.+Lv5;AaPR?$Q]+FCGSKnxOyS@w\"\\g9$F-7$$\"g]lLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL$Qx$ omMF-$\"g]l=9=gg)f-N$*4RLm*R*>>7f\\%4mv0_&GDl`a.f>D=1OQg>AYp-$\\2r?qeL *Ra:d#)4*QPZ_LpO\"eS.#p27u-dxx>)=$*Q)[x*yHi3UY&[<@om.z9$F-7$$\"g]l+++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++v.I%)oMF-$\"g ]lzm>kUVZTYKNQ57$)y/GS,&y)oF#4\"*[\"G[m#3/xnM<\\6iV5=f!oU\\mYbG&G,.$>? 7t=I(4#[%ebrr;5/tjhoH.V'='=\\ST<%=OV>q0'fD9nJsizO;du5*o5(zXXOTM$QHfRiH 2Dicv%\\U\")pK,z7!>G*yO$fZwpBI')\\JF-7$$\"g]lnmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm\"zpe*zqMF-$\"g]lF%4pG 6oROZ'4!>'Q'G#yU,e/(o))*fqWzNaQ#4\"[kef.F%Hmm`b_=*=HOYL(35'HZl&Q#4H$H3 fQ))[f!))*=FA(fpvki0a7#)R-B#)y!p`QzZ(e5Yo#4dMj9ySGDB-$\\AoK@.nz%[[K^xf\"p1Sh:]\"\\?USWu;?F ^Hk<(R(yf\\U9v_`JF-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLe9S8&\\Z$F-$\"g]lOKyW1WNDlT9Y`]%Qh)fydF \"H$)Go2jCR(yk)*)ox9EKnY%3NkP%ez@PmGY,#>JcqiPK9x=UO+iywEkz)4g%)\\JiHSE 9?m&y$4!y8P!=MdP'GoCAzF++j&4>c$Rd)R/da8p8gIUlw1')y#o_6#ye4e[P K51`:$F-7$$\"g]l++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++D1#=bqZ$F-$\"g]ln)3pk!**GPi'>d-pU%QxY-P*)Hv5&35KHE. eN^F0m&R;&)*o\"**)y&RfjXT'ewU7sztHe2t&f\")eYMjQH?'ol=r'exA89DH^?:a4/Re &3b\"3)Rkf+*[6B)*zWq*>sB'R$HZoM/CR_XijI(4m;(G!4o(QblC3=rbQ4F'=O7:dJF-7 $$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLL3s?6zMF-$\"g]l`^ELlbL2x SJjA[K2;B.!e>N:!y$p3#=(zDEeQ0\\0+Jg\\9!>!)yV(*Q:;+O@zI'\\t_YQ._Q,u!zq9 )>#4YaA$pggP;h]$e)>LJ13U%\\x4ib')4<=OhM(yqQoOiCDe_6C%*eJF-7$$\"g]l++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++D JXaE\"[$F-$\"g]lH5\"42@l=a.bqXo:U>/L1rLKM.F5cu*)oM+V9\"))Q)etYW!G\">*H^ z4e3h*G@yW4)*eF:**y`#)4PuFT\\t3oE*[1W;nSW&G&403;$F-7$$\"g]lnmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm*RRL[$ F-$\"g]looP_EQ8DP8f1')RT'*[&*>=hk4kz[sk4w*QLYr;mwm&[4`.:5_V#4vd5$\\@bjV/C<+d*[dtj$G(Qo'=$\\k?()Q.i+TRNdM&z$ H/K4\"puZlA&)GcJ*[&HoQ&G`9dm#z=.0qyeiJF-7$$\"g]lnmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm;a<.Y&[$F-$\"g]l.*G XaFM'>'oClsJjgJI#pn2&*)G81)GxALJCu9h8JODU]*3Hc`F!=K:qT(H6jU-3'*))=kAIf ns[)>h6BW\"G'e)Q()e![u1?G%\\1_BE\"3/Pf>A,$G\\Zxld\"*)G<)R0(pKMDm<53#\\ )36.%G*))R!)=,6HgFv&4#[7Xr:#oX+W;$F-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLe9tOc([$F-$\"g]l$*zf')R HwHrccC@A25pfar,\\OUl7Y,r41!>9zq,yR+xd$QN_kLl5_l$Hzjglz;mP6-7\\^N<%>*[ o'GwvU]6`E1r8Ey$=I\"o\"HNBAcI&ypVGQ!\\NJ>+$)Q2&\\f_Rc)QSg^(>eAh.@>$4)* *>())o:e**H$[7W_H'4NA)=mJF-7$$\"g]l+++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++]Qk\\*[$F-$\"g]lDn'yn%)ee_X*4d% 4wD7t:!3SiI))4%\\G'e.x(e(z-\\$z#Q=A9L\"3$G8J@+\"4*G]puwiaM%o=vc%o*e)QL (*oE/l5?WP,FEpjKDWB:%G,4:W-\"ek`qKBYxx6^3\"zu8n[<&HvPydi/gO2xS/+#[!RUA l:a)pH\\CW\"GA`H#y;$F-7$$\"g]lLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL$3dg6<\\$F-$\"g]l%z+Q$oM#==P%frX#zBG= aAja$)GQZ2GXw%f%f-qFx&\\i7g^ip300\\!=\">*)RPJ^N<]eT?%=!HXj #pQ$*RbPLg<%*Q#3r%4^+%fN\"R0[Nx^cd-F.!o;')>!fDS^jI$>%)>O'oHYKJs#**4L([ 6wr\"z1w7;(o(opJF-7$$\"g]lnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmxGp$\\$F-$\"g]lmO8fM)eMa*yRxJb?)f7Q'f$R =zJ=%*)Qd:1dT+L7zx6\"RM#p0u5jhH$RfDQ\">VcLxK <)Q!**3C\\D'3JwaB\"R9V\"[[mw([!*Hu'3TZe$Q1Ky,QX`[_0#ef=!*)RRLY6]j&*fM- M.`tA![8<$F-7$$\"g]l++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++D\"oK0e\\$F-$\"g]lrgw5`6v[xuAo4\\(H<:T\\d/[*)f^ XvAPGM_Ck'\\>'>],5LNhi()>ntP'etd0Ja&oJ\"ymgw]yI6@)=IW@%zgq?c9jt.7(=SwY 7E)\\=iScT\\`7z>6Y:**))[#z\\x23E]01a\\%\\1$p)>$4\\)3jwN?#z%=Y!=%y=-gCa v46tJF-7$$\"g]l+++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++v=5s#y\\$F-$\"g]lq,*R\"Q!Ra))R2*>CXwHSJvfu+BN[$>!\\V%RUaBco-IqpwSgp%*\\*>JN [Nxxn!*yb(*Rp)y-&GvU_JIdotca*pbLu0A%=&z1PVd8*3&e!e'*oE8oJ/F8ko:aa^>?dB -:Ci:&*o8&f)y7s 1/x ?" }{TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 268 30 "II I) Restriction de fonctions " }}{PARA 258 "" 0 "" {TEXT -1 176 "D\351f inition: Soit f : K ---> J comme pr\351c\351demment un fonction r\351e lle, et soit K1 une union d'intervalles contenus dans K, on appelle re striction de f \340 K1 une nouvelle fonction " }}{PARA 258 "" 0 "" {TEXT -1 57 "g : K1 ---> J dont l'espace de d\351part est K1 , telle q ue " }{TEXT 292 30 "pour tout x dans K1 g(x)=f(x)." }{TEXT -1 1 " " }} {PARA 257 "" 0 "" {TEXT -1 169 "En particulier l'expression alg\351br ique (ou le programme) qui permet de calculer g est la m\352me que cel le de f, mais on ne l'applique qu'\340 une partie K1des \351l\351ments de K." }}{PARA 257 "" 0 "" {TEXT -1 262 "Comme les deux fonctions ont souvent la m\352me expression ce ne sont pas des propri\351t\351s rel i\351es \340 cette expression qui vont distinguer f et g mais plutot d es propri\351te reli\351es aux espaces de d\351part K et K1. Ces propr i\351t\351s se verront sur les graphes de f et de g. \n" }{TEXT 293 13 "Exercice 5 : " }{TEXT -1 129 "D'apr\350s la d\351finition pr\351c \351dente, le graphe de g est contenu dans celui de f, expliquez pourq uoi, puis illustrez avec un exemple." }}{PARA 257 "" 0 "" {TEXT -1 0 " " }}{PARA 257 "" 0 "" {TEXT 294 133 "D\351finition : On dit que f : K \+ ---> J est injective, si deux points x1 et x2 distincts de K ont des i mages f(x1) et f(x2) distinctes. " }}{PARA 257 "" 0 "" {TEXT -1 336 "A utrement dit si une valeur y de J est obtenue comme image de deux x1 e t x2 distinctes de K, alors f n'est pas injective. \nPrenons un exempl e simple \340 l'aide de Maple : rappelez vous que pour d\351finir une fonction en math\351matiques, il faut aussi pr\351ciser les ensembles de d\351part et d'arriv\351e. Ci dessous K=[-0.5 , 1] et J=[-0.2 , 1. 2] ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "f:= x-> x^2 : plot( f(x), x=-0.5 .. 1, y=-0.2 .. 1.2);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$!3++++++++]!#=$\"3++++++++DF*7 $$!3u****\\(oUIn%F*$\"3)>s>fzKP=#F*7$$!37+]7y)e&)Q%F*$\"3$f(pn-\\%f#>F *7$$!3G++D\"3F'oSF*$\"3g*3GEjs`l\"F*7$$!3i***\\(oXdYPF*$\"3UC/#**4#o.9 F*7$$!3!)**\\i:F0EMF*$\"3kVT-@Pyt6F*7$$!3Q+]7Gz))GJF*$\"3qdjwm'R**y*!# >7$$!3#)**\\7.5>@GF*$\"3wUM6w'=\"fzFK7$$!3(***\\7./(H]#F*$\"3CD(>*Q3'[ E'FK7$$!35+]iS.x&=#F*$\"3')Gf&>)>fxZFK7$$!3!)****\\(3\"\\f=F*$\"3#>$> \\/rqdMFK7$$!3'****\\P9/@d\"F*$\"3k?fzQ9^rCFK7$$!3u****\\7Xd[7F*$\"3+7 YE8$Q*e:FK7$$!3)4++]PkrB*FK$\"3%e\"p2p0_K&)!#?7$$!3h(****\\([b1hFK$\"3 $QiQTC,!HPFio7$$!3e++DJ:mjKFK$\"3'*4h0f'[^1\"Fio7$$\"3+2++]i8o6Fio$\"3 yySc)HUXO\"!#B7$$\"3m++++&>0)HFK$\"3/a-))*['\\$)))!#@7$$\"3.***\\(=-p6 jFK$\"3sSkuTLu$)RFio7$$\"3o&*****\\2Mg#*FK$\"3-\\5h!3\"Rv&)Fio7$$\"3K+ ](=xZ&\\7F*$\"3%zx(>M'p8c\"FK7$$\"3Q+]i:$4wb\"F*$\"3'>y@,yYhU#FK7$$\"3 Y++v=#R!z=F*$\"3%=h+cQ)yINFK7$$\"3[+]P4A@u@F*$\"3@@`RJ()>FZFK7$$\"3')* **\\i:'f#\\#F*$\"3jtA:)fNI@'FK7$$\"3))**\\(of2L#GF*$\"3U(3slyl5(zFK7$$ \"3y**\\7yG>6JF*$\"3U>d*[7@&z'*FK7$$\"3K++voo6AMF*$\"3iI$QjQ)3r6F*7$$ \"3Z*****\\xJLu$F*$\"3ckCxxKD,9F*7$$\"3c***\\P*yddSF*$\"3?o[QOQRY;F*7$ $\"3#***\\(=F*7$$\"3y***\\i0A#*p%F*$\"3mZYR$zo#3 AF*7$$\"3&*)****\\2mD+&F*$\"3w*3uMtmD]#F*7$$\"3E++]i0XE`F*$\"3uccZfv5P GF*7$$\"3K**\\(o/Q*>cF*$\"3'zJr]Oq$eJF*7$$\"3'3++vQ(zSfF*$\"3_$oK*ftIH NF*7$$\"3)*)*\\(=-,FC'F*$\"3c:>&[gJr*QF*7$$\"3?+]P4tFelF*$\"3/*Hmm7+6I %F*7$$\"3O****\\73\"o'oF*$\"3E!pmM24`r%F*7$$\"3K**\\(oz;)*=(F*$\"3S(ei sbY$p^F*7$$\"3%4+++&*44](F*$\"3*>!4!y+lji&F*7$$\"38++DJw/>yF*$\"3gBc(f e]P6'F*7$$\"3(3+v=(4bM\")F*$\"3C_KS^>4)F*7$$\"3O+](=-*zq$*F*$\"33Yt$3V(=\"y)F*7$$\"3K+]7G:3u'*F*$\"33M4GT` ye$*F*7$$\"\"\"\"\"!Fgz-%'COLOURG6&%$RGBG$\"#5!\"\"$FizFizFa[l-%+AXESL ABELSG6$Q\"x6\"Q\"yFf[l-%%VIEWG6$;$!\"&F`[lFgz;$!\"#F`[l$\"#7F`[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}} {EXCHG {PARA 257 "" 0 "" {TEXT -1 215 "Trouver \340 l'aide du graphiqu e pr\351c\351dent deux points x1 et x2 de K qui ont la m\352me image p ar f. En d\351duire que f n'est pas injective.\nOn consid\350re \340 \+ pr\351sent la restriction g de f \340 K1=[0 , 1] qui est contenu dans \+ K." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "g:=x -> x^2 : plot(g( x), x=0 .. 1, y=-0.2 .. 1.2);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3emmm;arz@!#>$\"3!*R Vl(Hf6v%!#@7$$\"3[LL$e9ui2%F-$\"3IF*)>\"4,;m\"!#?7$$\"3nmmm\"z_\"4iF-$ \"3)f>E!RyNbQF67$$\"3[mmmT&phN)F-$\"3)4x24%pb#)pF67$$\"3CLLe*=)H\\5!#= $\"3ngGm!pE55\"F-7$$\"3gmm\"z/3uC\"FD$\"3uos+Qo-c:F-7$$\"3%)***\\7LRDX \"FD$\"3u'>G)30()4@F-7$$\"3]mm\"zR'ok;FD$\"33m(3M!3=rFF-7$$\"3w***\\i5 `h(=FD$\"3zA:4y/&*>NF-7$$\"3WLLL3En$4#FD$\"3y.`)3*\\Y$Q%F-7$$\"3qmm;/R E&G#FD$\"3'e2(o66VA_F-7$$\"3\")*****\\K]4]#FD$\"3u/w6GDvaiF-7$$\"3$*** ***\\PAvr#FD$\"3!4kD'ey#\\Q(F-7$$\"3)******\\nHi#HFD$\"3C01&36?Gc)F-7$ $\"3jmm\"z*ev:JFD$\"3:%\\-a\"[$zq*F-7$$\"3?LLL347TLFD$\"3v:-T#*)3j6\"F D7$$\"3,LLLLY.KNFD$\"3?8m5lo_Z7FD7$$\"3w***\\7o7Tv$FD$\"3I1AN-iL49FD7$ $\"3'GLLLQ*o]RFD$\"3#4Fe.m%zg:FD7$$\"3A++D\"=lj;%FD$\"3zMKN#))fet\"FD7 $$\"31++vV&RFD7$$\"3WLL$e9Ege%FD$\"3#QpE5ejJ5#FD7$ $\"3GLLeR\"3Gy%FD$\"3]ek+q`_(G#FD7$$\"3cmm;/T1&*\\FD$\"3GMMZSl1&\\#FD7 $$\"3&em;zRQb@&FD$\"3R9V,yS=?FFD7$$\"3\\***\\(=>Y2aFD$\"3]UJFSW1CHFD7$ $\"39mm;zXu9cFD$\"3SY\"G*oc`_JFD7$$\"3l******\\y))GeFD$\"3'>w(ycLf(R$F D7$$\"3'*)***\\i_QQgFD$\"3!zrPyl4ik$FD7$$\"3@***\\7y%3TiFD$\"3#\\.vY#R 6&*QFD7$$\"35****\\P![hY'FD$\"3#*3lGWq5\"=%FD7$$\"3kKLL$Qx$omFD$\"3;]^ l#pDnW%FD7$$\"3!)*****\\P+V)oFD$\"3m8DKl\"f$RZFD7$$\"3?mm\"zpe*zqFD$\" 3e&e?k^\"e7]FD7$$\"3%)*****\\#\\'QH(FD$\"3yCXTal/?`FD7$$\"3GKLe9S8&\\( FD$\"3[0kl*Q.xh&FD7$$\"3R***\\i?=bq(FD$\"3_?]o#3,v$fFD7$$\"3\"HLL$3s?6 zFD$\"3gG&=$\\*>(eiFD7$$\"3a***\\7`Wl7)FD$\"3IF*Q=gsSg'FD7$$\"3#pmmm'* RRL)FD$\"33+/!o`ba%pFD7$$\"3Qmm;a<.Y&)FD$\"3%*)\\AV(eY.tFD7$$\"3=LLe9t Oc()FD$\"3sL.zaoRnwFD7$$\"3u******\\Qk\\*)FD$\"3R\"G%=/Dh4!)FD7$$\"3CL L$3dg6<*FD$\"3s)z+;i=5T)FD7$$\"3ImmmmxGp$*FD$\"3uk4YD`Ny()FD7$$\"3A++D \"oK0e*FD$\"3+K*\\ckg'y\"*FD7$$\"3A++v=5s#y*FD$\"3#QIpI0j,d*FD7$$\"\" \"F)Fdz-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q\"yFa[l -%%VIEWG6$;F(Fdz;$!\"#F\\[l$\"#7F\\[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 " " {TEXT 295 13 "Exercice 6 : " }{TEXT -1 312 "Expliquez \340 l'aide du graphique comment on voit que g est injective.\nDonner deux autres re strictions g1 et g2 de f, qui sont l'une injective et l'autre non inje ctive.\nDonner ensuite deux restrictions de la fonction F : [-1 , 1.2 ] ---> [-0.5 , 0.6] x-> x^3 , qui sont l'une injective et l'autre n on injective." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 1 " " }{TEXT 269 38 "IV) Changement de l'ensemble d'arriv\351e" }}{PARA 257 "" 0 "" {TEXT -1 278 "Dans le paragraphe pr\351c\351dent, nous avions chang \351 (diminu\351) l'ensemble de d\351part de f pour d\351finir une re striction de f. Nous souhaitons maintenant changer (diminuer) l'ensem ble d'arriv\351e de f pour obtenit une nouvelle fonction h mais qui a \+ la m\352me expression alg\351brique que f." }}{PARA 257 "" 0 "" {TEXT -1 254 "Cependant on ne peut pas changer l'ensemble d'arriv\351e n'imp orte comment, il faut respecter la contrainte que chaque \351l\351men t x de K doit avoir une image f(x) dans l'ensemble d'arriv\351e, celui ci doit donc \352tre assez grand pour contenir toutes ces images. " } }{PARA 257 "" 0 "" {TEXT -1 126 "Prenons un exemple : la fonction f : \+ [0 , 1] ---> [1 , 6] tellle que f(x) =2*exp(x). Ici l'ensemble d'arri v\351e est J= [1 , 6]." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "f :=x ->2*exp(x):plot(f(x), x=0..1, y=1..6);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)$\"\"#F)7 $$\"3emmm;arz@!#>$\"3vb]@&*G2W?!#<7$$\"3[LL$e9ui2%F/$\"33r96$*)4K3#F27 $$\"3nmmm\"z_\"4iF/$\"3m$=$)GY>\"G@F27$$\"3[mmmT&phN)F/$\"3MeU2rXIu@F2 7$$\"3CLLe*=)H\\5!#=$\"3n-n_C`E@AF27$$\"3gmm\"z/3uC\"FE$\"3U,d&*o&4dE# F27$$\"3%)***\\7LRDX\"FE$\"3tPvcGjm7BF27$$\"3]mm\"zR'ok;FE$\"3]WK$)*)H DiBF27$$\"3w***\\i5`h(=FE$\"3Aw\"4spQFT#F27$$\"3WLLL3En$4#FE$\"3-z!o3U &zlCF27$$\"3qmm;/RE&G#FE$\"3Ukh_\"Q$\\8DF27$$\"3\")*****\\K]4]#FE$\"3O KHE$*[HoDF27$$\"3$******\\PAvr#FE$\"3))Rl^jO_CEF27$$\"3)******\\nHi#HF E$\"3u#H&R!*\\()zEF27$$\"3jmm\"z*ev:JFE$\"3Wkc57+:JFF27$$\"3?LLL347TLF E$\"3WGe1%Q*R$z#F27$$\"3,LLLLY.KNFE$\"3?m5>P:CZGF27$$\"3w***\\7o7Tv$FE $\"3>$\\^&e)z6\"HF27$$\"3'GLLLQ*o]RFE$\"3)Q\"3%30t*oHF27$$\"3A++D\"=lj ;%FE$\"3)Hj-(H@qLIF27$$\"31++vV&R Y2aFE$\"3mA+%3ivXV$F27$$\"39mm;zXu9cFE$\"39)QEVR6l]$F27$$\"3l******\\y ))GeFE$\"3ig.bU2T#e$F27$$\"3'*)***\\i_QQgFE$\"3MtIZ%)HDeOF27$$\"3@*** \\7y%3TiFE$\"3z<$[]BiJt$F27$$\"35****\\P![hY'FE$\"3]'of7iM\"=QF27$$\"3 kKLL$Qx$omFE$\"3[&HJLaMh*QF27$$\"3!)*****\\P+V)oFE$\"3syWuge<\")RF27$$ \"3?mm\"zpe*zqFE$\"3An;z9z$)fSF27$$\"3%)*****\\#\\'QH(FE$\"3qA$*>TehZT F27$$\"3GKLe9S8&\\(FE$\"3-*zhhFS>B%F27$$\"3R***\\i?=bq(FE$\"3@S1[sn\"> K%F27$$\"3\"HLL$3s?6zFE$\"3O&R.cSMzVRk!3![F27$$\"3u******\\Qk\\*)FE$\"3Os0 Ies\\%*[F27$$\"3CLL$3dg6<*FE$\"3*Rs=%H$GT+&F27$$\"3ImmmmxGp$*FE$\"3:(4 H%4CE/^F27$$\"3A++D\"oK0e*FE$\"3:?sf#HMK@&F27$$\"3A++v=5s#y*FE$\"3\"yV vkh7(>`F27$$\"\"\"F)$\"3=!4=pljlV&F2-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-% +AXESLABELSG6$Q\"x6\"Q\"yFd[l-%%VIEWG6$;F(Fez;Fez$\"\"'F)" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT 270 111 "Essayons de cr\351er une nouvelle fonct ion h en diminuant l'ensemble d'arriv\351e : en rempla\347ant J par J1 = [2 , 4]." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "h:=x ->2*exp (x):plot(h(x), x=0..1, y=2..4);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)$\"\"#F)7$$\"3emmm;arz@!#>$ \"3vb]@&*G2W?!#<7$$\"3[LL$e9ui2%F/$\"33r96$*)4K3#F27$$\"3nmmm\"z_\"4iF /$\"3m$=$)GY>\"G@F27$$\"3[mmmT&phN)F/$\"3MeU2rXIu@F27$$\"3CLLe*=)H\\5! #=$\"3n-n_C`E@AF27$$\"3gmm\"z/3uC\"FE$\"3U,d&*o&4dE#F27$$\"3%)***\\7LR DX\"FE$\"3tPvcGjm7BF27$$\"3]mm\"zR'ok;FE$\"3]WK$)*)HDiBF27$$\"3w***\\i 5`h(=FE$\"3Aw\"4spQFT#F27$$\"3WLLL3En$4#FE$\"3-z!o3U&zlCF27$$\"3qmm;/R E&G#FE$\"3Ukh_\"Q$\\8DF27$$\"3\")*****\\K]4]#FE$\"3OKHE$*[HoDF27$$\"3$ ******\\PAvr#FE$\"3))Rl^jO_CEF27$$\"3)******\\nHi#HFE$\"3u#H&R!*\\()zE F27$$\"3jmm\"z*ev:JFE$\"3Wkc57+:JFF27$$\"3?LLL347TLFE$\"3WGe1%Q*R$z#F2 7$$\"3,LLLLY.KNFE$\"3?m5>P:CZGF27$$\"3w***\\7o7Tv$FE$\"3>$\\^&e)z6\"HF 27$$\"3'GLLLQ*o]RFE$\"3)Q\"3%30t*oHF27$$\"3A++D\"=lj;%FE$\"3)Hj-(H@qLI F27$$\"31++vV&RY2aFE$\"3mA+%3ivXV$ F27$$\"39mm;zXu9cFE$\"39)QEVR6l]$F27$$\"3l******\\y))GeFE$\"3ig.bU2T#e $F27$$\"3'*)***\\i_QQgFE$\"3MtIZ%)HDeOF27$$\"3@***\\7y%3TiFE$\"3z<$[]B iJt$F27$$\"35****\\P![hY'FE$\"3]'of7iM\"=QF27$$\"3kKLL$Qx$omFE$\"3[&HJ LaMh*QF27$$\"3!)*****\\P+V)oFE$\"3syWuge<\")RF27$$\"3?mm\"zpe*zqFE$\"3 An;z9z$)fSF27$$\"3%)*****\\#\\'QH(FE$\"3qA$*>TehZTF27$$\"3GKLe9S8&\\(F E$\"3-*zhhFS>B%F27$$\"3R***\\i?=bq(FE$\"3@S1[sn\">K%F27$$\"3\"HLL$3s?6 zFE$\"3O&R.cSMzVRk!3![F27$$\"3u******\\Qk\\*)FE$\"3Os0Ies\\%*[F27$$\"3CLL$ 3dg6<*FE$\"3*Rs=%H$GT+&F27$$\"3ImmmmxGp$*FE$\"3:(4H%4CE/^F27$$\"3A++D \"oK0e*FE$\"3:?sf#HMK@&F27$$\"3A++v=5s#y*FE$\"3\"yVvkh7(>`F27$$\"\"\"F )$\"3=!4=pljlV&F2-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6 \"Q\"yFd[l-%%VIEWG6$;F(Fez;F*$\"\"%F)" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 " " {TEXT -1 112 "On voit que h ainsi d\351finie n'est pas une fonction \+ math\351matique car les \351l\351ments de K par exemple entre 0.8 et 1 " }}{PARA 257 "" 0 "" {TEXT -1 109 "n'ont pas d'image dans J1. Ce n'es t pas bon ! on a voulu trop diminuer J. Essayons encore avec un nouvea u J2." }}{PARA 257 "" 0 "" {TEXT -1 63 "J2 =[0 , 5.5] et appelons h2 l a fonction que l'on veut obtenir." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "h2:=x ->2*exp(x):plot(h2(x), x=0..1, y=2..5.5);" }} {PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$ $\"\"!F)$\"\"#F)7$$\"3emmm;arz@!#>$\"3vb]@&*G2W?!#<7$$\"3[LL$e9ui2%F/$ \"33r96$*)4K3#F27$$\"3nmmm\"z_\"4iF/$\"3m$=$)GY>\"G@F27$$\"3[mmmT&phN) F/$\"3MeU2rXIu@F27$$\"3CLLe*=)H\\5!#=$\"3n-n_C`E@AF27$$\"3gmm\"z/3uC\" FE$\"3U,d&*o&4dE#F27$$\"3%)***\\7LRDX\"FE$\"3tPvcGjm7BF27$$\"3]mm\"zR' ok;FE$\"3]WK$)*)HDiBF27$$\"3w***\\i5`h(=FE$\"3Aw\"4spQFT#F27$$\"3WLLL3 En$4#FE$\"3-z!o3U&zlCF27$$\"3qmm;/RE&G#FE$\"3Ukh_\"Q$\\8DF27$$\"3\")** ***\\K]4]#FE$\"3OKHE$*[HoDF27$$\"3$******\\PAvr#FE$\"3))Rl^jO_CEF27$$ \"3)******\\nHi#HFE$\"3u#H&R!*\\()zEF27$$\"3jmm\"z*ev:JFE$\"3Wkc57+:JF F27$$\"3?LLL347TLFE$\"3WGe1%Q*R$z#F27$$\"3,LLLLY.KNFE$\"3?m5>P:CZGF27$ $\"3w***\\7o7Tv$FE$\"3>$\\^&e)z6\"HF27$$\"3'GLLLQ*o]RFE$\"3)Q\"3%30t*o HF27$$\"3A++D\"=lj;%FE$\"3)Hj-(H@qLIF27$$\"31++vV&RY2aFE$\"3mA+%3ivXV$F27$$\"39mm;zXu9cFE$\"39)QEVR6l]$F 27$$\"3l******\\y))GeFE$\"3ig.bU2T#e$F27$$\"3'*)***\\i_QQgFE$\"3MtIZ%) HDeOF27$$\"3@***\\7y%3TiFE$\"3z<$[]BiJt$F27$$\"35****\\P![hY'FE$\"3]'o f7iM\"=QF27$$\"3kKLL$Qx$omFE$\"3[&HJLaMh*QF27$$\"3!)*****\\P+V)oFE$\"3 syWuge<\")RF27$$\"3?mm\"zpe*zqFE$\"3An;z9z$)fSF27$$\"3%)*****\\#\\'QH( FE$\"3qA$*>TehZTF27$$\"3GKLe9S8&\\(FE$\"3-*zhhFS>B%F27$$\"3R***\\i?=bq (FE$\"3@S1[sn\">K%F27$$\"3\"HLL$3s?6zFE$\"3O&R.cSMzVRk!3![F27$$\"3u****** \\Qk\\*)FE$\"3Os0Ies\\%*[F27$$\"3CLL$3dg6<*FE$\"3*Rs=%H$GT+&F27$$\"3Im mmmxGp$*FE$\"3:(4H%4CE/^F27$$\"3A++D\"oK0e*FE$\"3:?sf#HMK@&F27$$\"3A++ v=5s#y*FE$\"3\"yVvkh7(>`F27$$\"\"\"F)$\"3=!4=pljlV&F2-%'COLOURG6&%$RGB G$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q\"yFd[l-%%VIEWG6$;F(Fez;F*$\"#b F_[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1 " }}}}{EXCHG {PARA 0 "" 0 "" {TEXT 271 121 "Comme on ne voit pas bien \+ ce qui se passe pres de 1, on va faire calculer, approximativement, h 2(1). Qu'en pensez vous ?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(h2(1));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+cOcOa!\"*" }} }{EXCHG {PARA 257 "" 0 "" {TEXT -1 117 "Une propri\351t\351 reli\351e \+ \340 l'ensemble d'arriv\351e d'une fonction f (ainsi qu'\340 son ensem ble de d\351part) est la surjectivit\351." }}{PARA 257 "" 0 "" {TEXT 296 106 "D\351finition : On dit que f : K ---> J est surjective si tou t \351l\351ment y de J est l'image d'un \351l\351ment x de K" }{TEXT -1 2 " ." }}{PARA 257 "" 0 "" {TEXT -1 108 "Cet \351l\351ment x n'est \+ pas forc\351ment le seul \340 avoir pour image y. Ceci se voit sur le \+ graphe de f. Comment ? " }}{PARA 257 "" 0 "" {TEXT -1 69 "Reprenons l 'exemple de la fonction F : [-1 , 1.2] ---> [-0.5 , 0.6]." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "F := x -> x^3 -x : plot(F(x),x=-1..1.2 , y= -0.5..0.6); " }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6% -%'CURVESG6$7\\o7$$!\"\"\"\"!$F*F*7$$!3imm;/8Bg(*!#=$\"3q(pw5C&GCY!#>7 $$!3CLLL3EY?&*F/$\"3BfHjen!>\"*)F27$$!3j**\\7[6%=J*F/$\"3Q^T6&y2vB\"F/ 7$$!3.mm\"zo>K5*F/$\"3C!)p'o=3&f:F/7$$!3ALL$eQ')Rj)F/$\"3A/u<\"**=x>#F /7$$!3kLL$3qU;;)F/$\"3z\"G'etc(\\s#F/7$$!3_mm\"H)Ra\"p(F/$\"3.YK2*=Q79 $F/7$$!3sKLe%H-dD(F/$\"363Dpk@#fV$F/7$$!3H***\\7Z8W!oF/$\"3A.LcF/$\"3_)\\(*)*\\>c%QF/7$$!3#fmm;E?RR&F/$\"3U%em4$GfCQF/7 $$!3%*)**\\i$)pJ=&F/$\"37Kz1D$)p!z$F/7$$!31LL$3T>C(\\F/$\"3M'*fr(e?FkT $GF/7$$!3ulmm,S`\\EF/$\"3WuFg3f`jCF/7$$!3hlmm1Q_HAF/$\"3c:BNj\"*p=@F/7 $$!3b***\\75_4u\"F/$\"3[,*pkL&=)o\"F/7$$!3\\mmmcL[38F/$\"3IZ@lP/3'G\"F /7$$!3f))**\\7g'*R$)F2$\"3_%Q.8Nd>G)F27$$!3'=)**\\P+t@QF2$\"3J(o\\O;[h \"QF27$$\"3FgML$3_d#*)!#?$!3-(=Ur(4/D*)Fbt7$$\"3OVL$32z)o8&ekJUQF/7$$\"3JN$3_)f?6 eF/$!3e'3q4/b([QF/7$$\"3u-++NG]YgF/$!39#\\5^^*)e$QF/7$$\"3Wn;aL))*yE'F /$!3dVufhsX0QF/7$$\"39KL3K[H*['F/$!3Yt\\c(H\"fcPF/7$$\"3A-+v`+9_pF/$!3 gS'p.D9?f$F/7$$\"3GLLLeel/uF/$!39[j&4SiZM$F/7$$\"3U***\\(ozRyyF/$!3cTq 9dHM))HF/7$$\"36qmmEzmM$)F/$!3COKaT+&[a#F/7$$\"3Ppm;f)p7!))F/$!3c=!>mH *f$)>F/7$$\"3kNL3#43SE*F/$!3abcLS`Y88F/7$$\"3ko;/\"G7mZ*F/$!3%R2.@n(Gg '*F27$$\"3k,++qk@*o*F/$!3uwYvQJ\"*GfF27$$\"3%)om\"H'[)G$**F/$!3r%>6%[' >)G8F27$$\"3gLLeD`l<5!#<$\"33'=x\"3'G^i$F27$$\"3L+]7<$\\%R5Fj\\l$\"3Q: (GgIxGO)F27$$\"31nmm3LCh5Fj\\l$\"3wA90QboR8F/7$$\"3kL3F\\-[%3\"Fj\\l$ \"3rDqSU;u4>F/7$$\"3B+]()*=_6Fj\\l$\"3))>sR[5;uPF/7$$\"31+D17 $*4w6Fj\\l$\"3`YeJt`#p]%F/7$$\"3%**************>\"Fj\\l$\"3-)********* **z_F/-%'COLOURG6&%$RGBG$\"#5F)F+F+-%+AXESLABELSG6$Q\"x6\"Q\"yF_`l-%%V IEWG6$;F($\"#7F);$!\"&F)$\"\"'F)" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 "" {TEXT 298 12 "Exercice 7 :" }{TEXT -1 47 " On voit que F n'est pas surjetive . Expliquez !" }}{PARA 257 "" 0 "" {TEXT -1 103 "Fabriquer une nouvell e fonction G juste en changeant l'ensemble d'arriv\351e telle que G so it surjective ?" }}{PARA 257 "" 0 "" {TEXT -1 47 "Faites le m\352me ex ercice avec d'autres exemples." }}{PARA 257 "" 0 "" {TEXT -1 0 "" }} {PARA 257 "" 0 "" {TEXT 297 97 "D\351finition : On dit qu'une fonction est bijective si elle est \340 la fois injective et surjective. " }} {PARA 257 "" 0 "" {TEXT -1 120 "Donner des exemples et des contre exem ples de fonctions bijectives en expliquant sur des graphiques r\351ali s\351s avec Maple." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 272 22 "V) Foncti ons monotones" }}{PARA 257 "" 0 "" {TEXT 299 157 "D\351finition : La f onction r\351elle f : K ---> J est strictement croissante si pour tou t couple d'\351l\351ment x1 et x2 de K, on a x1 > x2 implique f(x1) \+ > f(x2). " }}{PARA 257 "" 0 "" {TEXT -1 186 "On d\351finit de m\352me \+ les notions de croissante (on dit aussi au sens large) et de (strictem ent) d\351croissante. Faites le. \nEst-ce que l'ensemble K joue un gra nd r\364le dans cette d\351finition ?" }}{PARA 257 "" 0 "" {TEXT 300 12 "Exercice 8 :" }{TEXT -1 177 " Reprenons l'exemple pr\351c\351den t F:[-1 , 1.2] ---> [-0.5 , 0.6]. On appelle G la restriction de F \+ \340 un sous enemble K de [-1 , 1.2]. Comment peut-on choisir K pour \+ que G soit" }}{PARA 257 "" 0 "" {TEXT -1 138 "1) croissante 2) stricte ment croissante 3) d\351croissante 4) strictement d\351croissante ? E xpliquez comment vous voyez cela sur le graphique." }}{PARA 257 "" 0 " " {TEXT -1 40 "M\352me question pour la fonction suivante:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "F1:=x -> 2*sin(x^2) : plot(F1(x), x =-1.3..2, y=-2..2);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7_o7$$!3/+++++++8!#<$\"3)pB)=-t!e)>F*7$$!3) )*\\7yMF*7$$!3#***\\i&pMSE\"F*$\"3#zec_sr#**>F*7$ $!3)**\\PM/_gC\"F*$\"3EH#3Ocq'**>F*7$$!3.++D\"Rp!G7F*$\"3cJkrvs2'*>F*7 $$!3)*\\(=A\"F*$\"3_k0?4?%3)>F*7$$!3%**\\(=`H[l6F*$\"3CS\"y@FO]&>F *7$$!32]7`b/HI6F*$\"3o5QuK[i9>F*7$$!3'***\\(y&z4&4\"F*$\"3wQR!R^EN'=F* 7$$!3)***\\70kCC5F*$\"3ZbZ`#)3$Rt\"F*7$$!3B+]PufJP&*!#=$\"3Ygpw>7_y:F* 7$$!3i+](=W`N)))Fgn$\"3yj\\?B]a>9F*7$$!3g,](o??m?)Fgn$\"3])zc#f%HuC\"F *7$$!3[,](o)[`1vFgn$\"3IvSqiREo5F*7$$!3j,]P\\Zp3oFgn$\"3gHyzd/7V*)Fgn7 $$!3+,+]#R!)34'Fgn$\"3Ur%o*fBt]sFgn7$$!39,+D;\"H'eaFgn$\"3qH&p2$\\`reF gn7$$!3I,+]FR'ou%Fgn$\"35&yo**\\0&oWFgn7$$!3)=++D;w@.%Fgn$\"3@10>Z@QPK Fgn7$$!3O,+]s?WVLFgn$\"3fH,J!en5B#Fgn7$$!38,](o`0!=FFgn$\"3!edOOCnhZ\" Fgn7$$!3u++]-5Iu>Fgn$\"3%>d(H$*\\v$z(!#>7$$!3j,++5dGW8Fgn$\"3-QuhK9,9O Far7$$!3\"*>+v=:G9hFar$\"3#e(3+#GqoZ(!#?7$$\"35%f****\\'\\FPF\\s$\"3yN CTJg%)yF!#A7$$\"3-'**\\7)40!\\(Far$\"3/8#*[)Q6?7\"Far7$$\"3R)*\\P%\\Sn U\"Fgn$\"3eo>bDd*32%Far7$$\"3C***\\7G')Q8#Fgn$\"3,(oq!zXz.\"*Far7$$\"3 s(*\\igoE$y#Fgn$\"3#RZi.zlxa\"Fgn7$$\"3e'**\\Pa6P[$Fgn$\"3E,%4,=&H@CFg n7$$\"3='*\\78nF6UFgn$\"3INa1=gSGNFgn7$$\"3(f*\\(=LCY%[Fgn$\"3m!\\GvG* 4^YFgn7$$\"3:(**\\76d'GbFgn$\"3=$[rsSi%=gFgn7$$\"3^&****\\!*H`B'Fgn$\" 3gZ'\\noU9e(Fgn7$$\"3!o**\\iOrm#pFgn$\"34<[7D#==B*Fgn7$$\"3u'*\\7y(zbf (Fgn$\"3I(eQD-/44\"F*7$$\"32(**\\P_)GQ$)Fgn$\"3S!*4!QV'=\"G\"F*7$$\"3d %****\\OXc+*Fgn$\"3'R%*R*G`(*\\9F*7$$\"3\"z***\\P7>=(*Fgn$\"3izY1#oG.i \"F*7$$\"3O*\\7.P'QO5F*$\"3m/(yN8?$e<.>Qy7F>F*7$$\"3a*\\7[A%Rt6F*$\"31Mf_FT]i >F*7$$\"3`*\\Pkh2\"37F*$\"3]+Q2U7j()>F*7$$\"3^*\\i!35#GC\"F*$\"3-w!zU+ 9$**>F*7$$\"3iuVt].zf7F*$\"3KF\"pr6N(**>F*7$$\"3]\\iS$pfnF\"F*$\"35AxM *G#['*>F*7$$\"3SC\"yg.HPH\"F*$\"3]UuT?IT*)>F*7$$\"3]***\\(y$)p58F*$\"3 CL,zP1Ry>F*7$$\"3_\\7.P!HiM\"F*$\"3'=]8bHV>%>F*7$$\"3a*\\7`pf?:F *$\"3efD(*>1pw9F*7$$\"3))\\PMYe*[b\"F*$\"3?h>VQ2hC8F*7$$\"3'**\\7Q@,'* e\"F*$\"3)Rxpp*f_`6F*7$$\"3')\\i:U=\\@;F*$\"3`8%)\\/ll/)*Fgn7$$\"3w*** *\\qCQ`;F*$\"3=KI0b)**R$zFgn7$$\"3s*\\P%HF$**o\"F*$\"3=an>Zr'pj&Fgn7$$ \"3p**\\P))H[EF*$!3QJH<(y)e!4\"F*7$$\"3%)\\P4o*[T'>F *$!3'p5-FkzJJ\"F*7$$\"\"#\"\"!$!3Tceh!*\\g8:F*-%'COLOURG6&%$RGBG$\"#5! \"\"$Fc`lFc`lF]al-%+AXESLABELSG6$Q\"x6\"Q\"yFbal-%%VIEWG6$;$!#8F\\alFa `l;$!\"#Fc`lFa`l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 273 8 "VI) Zoom" }} {PARA 257 "" 0 "" {TEXT -1 302 "Comme vous avez d\351ja remarqu\351, \+ pour tracer le graphe d'une fonction, Maple r\351serve une partie cons \351quente de la page, puis choisit des unit\351s de fa\347on que l e dessin tienne dans le cadre choisi. A proprement parler, on ne peut \+ pas \340 l'aide de Maple effectuer un agrandissement d'un d\351tail du dessin." }}{PARA 257 "" 0 "" {TEXT -1 219 "Cependant on peut restrein dre les ensembles de d\351part et d'arriv\351e et \351ventuellement au gmenter la pr\351cision puis demander \340 Maple d'effectuer une nouve lle approximation (comme expliqu\351 plus haut) et un nouvel affichage ." }}{PARA 257 "" 0 "" {TEXT -1 224 "Donc si le premier dessin \351tai t une bonne approximation qualitativement fid\350le, le second en est \+ un agrandissement : en abbr\351g\351 un Zoom. \nPour un exemple de \"f aux\" zoom : voir plus haut. Pour un \"bon\" zoom : voir ci-dessous." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "h:=x->x - 100*x^2: plot(h (x),x=0..0.1,y=-1..0.1);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3[mmm;arz@!#?$\"3mK7!p[* f/$!31aF&z5] G<&!#@7$$\"3omm\"z/3uC\"FB$!3KAg!4!z='3$F-7$$\"3#****\\7LRDX\"FB$!3ur> yvb#Q#z*G#FB7$$\"3wmm;/RE&G#FB$!3z4/_ 2s;PHFB7$$\"3A+++D.&4]#FB$!3I2w6.A!Qv$FB7$$\"3!)*****\\PAvr#FB$!3qRci$ [0um%FB7$$\"3)******\\nHi#HFB$!3F01&eV!fOcFB7$$\"3jmm\"z*ev:JFB$!3_Fe[ <*y@f'FB7$$\"31LLL347TLFB$!3tB)od,o>#yFB7$$\"3cLLLLY.KNFB$!3j-Gt8Faq7$$\"33++vV&RFaq7$$\"3Smm\"zRQb@&FB$!3I[EAQ-j)> #Faq7$$\"3!****\\(=>Y2aFB$!3+V\")R[#=LQ#Faq7$$\"3qmm;zXu9cFB$!3c![65@h 5f#Faq7$$\"3^******\\y))GeFB$!3ohxyrXq9GFaq7$$\"3!)****\\i_QQgFB$!3))= xeJ6PUIFaq7$$\"3j***\\7y%3TiFB$!3WN+bYa+rKFaq7$$\"3o****\\P![hY'FB$!3z 4l`SA\\MNFaq7$$\"33KLL$Qx$omFB$!3o;=Kaz))zPFaq7$$\"3k+++v.I%)oFB$!3e9D #y7H40%Faq7$$\"3Amm\"zpe*zqFB$!3'*=*Gmk&e/VFaq7$$\"37+++D\\'QH(FB$!3-E X\">1g1f%Faq7$$\"3GKLe9S8&\\(FB$!3Es!)>))**=o[Faq7$$\"3]++D1#=bq(FB$!3 CB+1i#\\p;&Faq7$$\"3>LLL3s?6zFB$!3)f>&[G#*fnaFaq7$$\"3)*)**\\7`Wl7)FB$ !3-ERr[\"=9z&Faq7$$\"3[nmmm*RRL)FB$!3:MP8S:17hFaq7$$\"3Smm;a<.Y&)FB$!3 'G$e!*)pi)[kFaq7$$\"3-MLe9tOc()FB$!3I,?LB,w\"z'Faq7$$\"3u******\\Qk\\* )FB$!3`#G%=>\"[Y6(Faq7$$\"3!QLL3dg6<*FB$!3;mu^kD!R\\(Faq7$$\"3-mmmmxGp $*FB$!3!pH%z[lUTyFaq7$$\"3!3+]7oK0e*FB$!3JL\\_xtg?#)Faq7$$\"3'****\\(= 5s#y*FB$!3A/V>^4*=f)Faq7$$\"3/+++++++5Faq$!3W-++++++!*Faq-%'COLOURG6&% $RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q\"yFc[l-%%VIEWG6$;F($\"\"\" F^[l;$F^[lF)Fi[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "h1:=x->x - 100*x^2: plot(h1(x),x=0..0.01,y=0..0.01);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3s mmm;arz@!#@$\"3WB,pBQ?K@F-7$$\"3cLL$e9ui2%F-$\"3,TMrOS65RF-7$$\"3fmmm \"z_\"4iF-$\"3pYSw2qhBeF-7$$\"3enmmT&phN)F-$\"3/!*edZQ\"zl(F-7$$\"3OLL e*=)H\\5!#?$\"3+s/<0_&>R*F-7$$\"3smm\"z/3uC\"FB$\"3%)Rf6k`!=4\"FB7$$\" 3'****\\7LRDX\"FB$\"3O!=n.G_:C\"FB7$$\"3smm\"zR'ok;FB$\"3%**yvvJovQ\"F B7$$\"35++D1J:w=FB$\"3sZ3We!eT_\"FB7$$\"3yLLL3En$4#FB$\"3C.[C4hKb;FB7$ $\"3%pmmT!RE&G#FB$\"3Kfz*Hz?Iw\"FB7$$\"3[+++D.&4]#FB$\"3qR#)=s]Zv=FB7$ $\"3B+++vB_FB7$$\"3:+++v'Hi#HFB$\"3YR\\\"RmZ*p?FB7$$ \"3!om;z*ev:JFB$\"37nAox]%G#FB7$$\"3)****\\7o7Tv$FB$\"3i$z(*)ykxWBFB7 $$\"3ELLL$Q*o]RFB$\"3#=1vHs%*)*Q#FB7$$\"3E++D\"=lj;%FB$\"3Kln*))H00V#F B7$$\"3C++vV&RVN&\\#FB7$$\"3D++v=>Y2aFB$\"39doZyuR $[#FB7$$\"3Rnm;zXu9cFB$\"3c>&Q-\"*3AY#FB7$$\"3p******\\y))GeFB$\"31QA@ $\\%HJCFB7$$\"3K++]i_QQgFB$\"3g!GiYgv@R#FB7$$\"3]++D\"y%3TiFB$\"3#R'\\ dc3(fM#FB7$$\"3?++]P![hY'FB$\"3C*[8K*4/&G#FB7$$\"3YLLL$Qx$omFB$\"3-#=y 1p^;A#FB7$$\"3+,++v.I%)oFB$\"3[&[x'47%\\9#FB7$$\"35nm\"zpe*zqFB$\"3!*z g\\\"=xt1#FB7$$\"3!3++]#\\'QH(FB$\"3Auaeq$=Q(>FB7$$\"3KLLe9S8&\\(FB$\" 3cDp#\\iIu(=FB7$$\"3L++D1#=bq(FB$\"3wy\\cBr,oLLL3s?6zFB$\"3w .[,fs[_;FB7$$\"3.++DJXaE\")FB$\"3hr5TH>ZA:FB7$$\"39nmmm*RRL)FB$\"3eli' )HW[)Q\"FB7$$\"3Wnm;a<.Y&)FB$\"3WmT%)zecU7FB7$$\"3OMLe9tOc()FB$\"3q)*H zf/(*)3\"FB7$$\"37,++]Qk\\*)FB$\"3Msr:eMJ+%*F-7$$\"3'[LL3dg6<*FB$\"3! \\LDB\\>9g(F-7$$\"35ommmxGp$*FB$\"3A$*p07WK4fF-7$$\"37++D\"oK0e*FB$\"3 n!p+gN?(=SF-7$$\"3)4+](=5s#y*FB$\"3-bp!olzb7#F-7$$\"3-+++++++5!#>F(-%' COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q\"yF`[l-%%VIEWG6$ ;F($\"\"\"!\"#Fe[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 " h2:=x->x - 100*x^2: plot(h2(x),x=0..0.001,y=0..0.001);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)F(7$ $\"3Wmmm;arz@!#A$\"3/7!ptDk\\<#F-7$$\"3oLL$e9ui2%F-$\"33W8#\\8e'fSF-7$ $\"3emmm\"z_\"4iF-$\"3C0kF8#*fqhF-7$$\"3-nmmT&phN)F-$\"3E*edA(RM'G)F-7 $$\"3ILLe*=)H\\5!#@$\"3l/nnAzGQ5FB7$$\"3imm\"z/3uC\"FB$\"3(RfO&zx%=B\" FB7$$\"3')***\\7LRDX\"FB$\"3%zrhhiS9V\"FB7$$\"3gmm\"zR'ok;FB$\"3&)yD)) *eupj\"FB7$$\"3y***\\i5`h(=FB$\"3\\%3p9g`4%=FB7$$\"3ILLL3En$4#FB$\"3S! [C%ez$)\\?FB7$$\"3imm;/RE&G#FB$\"3$ez\\IfRIB#FB7$$\"3;+++D.&4]#FB$\"3* R#)=(*z-%QCFB7$$\"3p*****\\PAvr#FB$\"3MVPT'4tOk#FB7$$\"3:+++v'Hi#HFB$ \"3I%\\\"*QZ,1%GFB7$$\"3[mm\"z*ev:JFB$\"3KTEw\\ln=IFB7$$\"3ILLL347TLFB $\"3%=J#4>+\\HKFB7$$\"3.LLLLY.KNFB$\"3brE#o%>G2MFB7$$\"3))***\\7o7Tv$F B$\"3zF*RFB7$$\"3%****\\PaR,Xdbu%FB7$$\"3nmm\"zRQb@&FB$\"3TN_6!**>N%\\FB7$$\"3#)***\\(= >Y2aFB$\"3s&oAZZb]6&FB7$$\"3umm;zXu9cFB$\"3W_QF75\\*H&FB7$$\"3Z****** \\y))GeFB$\"3AB7K9&G\"*[&FB7$$\"3X****\\i_QQgFB$\"3'zA;nHkPn&FB7$$\"3U ***\\7y%3TiFB$\"3o&\\#y)Qt:&eFB7$$\"3M****\\P![hY'FB$\"3a[82Lt.[gFB7$$ \"3gKLL$Qx$omFB$\"3aLLL3s?6zFB$\"3')z9S8_L&G(FB7$$\"3\")***\\7`Wl7)FB$\"3O2h1rs8muFB 7$$\"38nmmm*RRL)FB$\"3)pi')HT%RRwFB7$$\"3cmm;a<.Y&)FB$\"3;;Wtm^o:yFB7$ $\"39MLe9tOc()FB$\"3-,V5Hwi*)zFB7$$\"3E+++]Qk\\*)FB$\"3mr:e*f#o[\")FB7 $$\"3MLL$3dg6<*FB$\"3a`Kn3(e+L)FB7$$\"3%fmmmw(Gp$*FB$\"37p07MAX\"\\)FB 7$$\"37++D\"oK0e*FB$\"3u1]o;mmi')FB7$$\"3c++v=5s#y*FB$\"3dpIW8ZqD))FB7 $$\"3-+++++++5!#?$\"3w***************)FB-%'COLOURG6&%$RGBG$\"#5!\"\"F( F(-%+AXESLABELSG6$Q\"x6\"Q\"yFb[l-%%VIEWG6$;F($\"\"\"!\"$Fg[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "h3:=x->x - 100*x^2: plot(h3( x),x=0..0.001,y=0..0.001);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3Wmmm;arz@!#A$\"3/7!ptDk \\<#F-7$$\"3oLL$e9ui2%F-$\"33W8#\\8e'fSF-7$$\"3emmm\"z_\"4iF-$\"3C0kF8 #*fqhF-7$$\"3-nmmT&phN)F-$\"3E*edA(RM'G)F-7$$\"3ILLe*=)H\\5!#@$\"3l/nn AzGQ5FB7$$\"3imm\"z/3uC\"FB$\"3(RfO&zx%=B\"FB7$$\"3')***\\7LRDX\"FB$\" 3%zrhhiS9V\"FB7$$\"3gmm\"zR'ok;FB$\"3&)yD))*eupj\"FB7$$\"3y***\\i5`h(= FB$\"3\\%3p9g`4%=FB7$$\"3ILLL3En$4#FB$\"3S![C%ez$)\\?FB7$$\"3imm;/RE&G #FB$\"3$ez\\IfRIB#FB7$$\"3;+++D.&4]#FB$\"3*R#)=(*z-%QCFB7$$\"3p*****\\ PAvr#FB$\"3MVPT'4tOk#FB7$$\"3:+++v'Hi#HFB$\"3I%\\\"*QZ,1%GFB7$$\"3[mm \"z*ev:JFB$\"3KTEw\\ln=IFB7$$\"3ILLL347TLFB$\"3%=J#4>+\\HKFB7$$\"3.LLL LY.KNFB$\"3brE#o%>G2MFB7$$\"3))***\\7o7Tv$FB$\"3zF*RFB7$$\"3%*** *\\PaR,Xdbu%FB7$$\"3nmm \"zRQb@&FB$\"3TN_6!**>N%\\FB7$$\"3#)***\\(=>Y2aFB$\"3s&oAZZb]6&FB7$$\" 3umm;zXu9cFB$\"3W_QF75\\*H&FB7$$\"3Z******\\y))GeFB$\"3AB7K9&G\"*[&FB7 $$\"3X****\\i_QQgFB$\"3'zA;nHkPn&FB7$$\"3U***\\7y%3TiFB$\"3o&\\#y)Qt:& eFB7$$\"3M****\\P![hY'FB$\"3a[82Lt.[gFB7$$\"3gKLL$Qx$omFB$\"3aLLL3s?6zFB$\"3')z9S8_L &G(FB7$$\"3\")***\\7`Wl7)FB$\"3O2h1rs8muFB7$$\"38nmmm*RRL)FB$\"3)pi')H T%RRwFB7$$\"3cmm;a<.Y&)FB$\"3;;Wtm^o:yFB7$$\"39MLe9tOc()FB$\"3-,V5Hwi* )zFB7$$\"3E+++]Qk\\*)FB$\"3mr:e*f#o[\")FB7$$\"3MLL$3dg6<*FB$\"3a`Kn3(e +L)FB7$$\"3%fmmmw(Gp$*FB$\"37p07MAX\"\\)FB7$$\"37++D\"oK0e*FB$\"3u1]o; mmi')FB7$$\"3c++v=5s#y*FB$\"3dpIW8ZqD))FB7$$\"3-+++++++5!#?$\"3w****** *********)FB-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q\" yFb[l-%%VIEWG6$;F($\"\"\"!\"$Fg[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 257 "" 0 "" {TEXT 301 12 "Exercice 9 :" }{TEXT -1 21 " Que constatez vous ?" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 274 22 "VII) Branches infinies" }}{PARA 257 "" 0 "" {TEXT -1 281 "Les branches infinies des graphes de fonctions appa raissent quand x ou y tend vers l'infini. Si x et y tendent vers l'inf ini, on a une asymptote oblique ou une branche parabolique. \nVoici qu elques exemples. Pour visualiser, on choisit des \"grandes\" valeurs d e x et on laisse Maple " }{TEXT 275 24 "choisir un domaine de y." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "f:=x->2*x+3+2/x^2 : plot(f(x ), x=10..20);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6 %-%'CURVESG6$7S7$$\"#5\"\"!$\"3'************>I#!#;7$$\"3vmm;arz@5F-$\" 3!ehi(*))4bM#F-7$$\"3GL$e9ui2/\"F-$\"3a!4Eg)=P$Q#F-7$$\"3omm\"z_\"4i5F -$\"3$>:+^/cfU#F-7$$\"3ummT&phN3\"F-$\"3A@/i9o#)oCF-7$$\"3CL$e*=)H\\5 \"F-$\"30c\"*49y\\6DF-7$$\"3jm;z/3uC6F-$\"31cH\"\\ei5b#F-7$$\"3)***\\7 LRDX6F-$\"3C5?FF-7$$\"3ummT! RE&G7F-$\"3Mo.b=zPeFF-7$$\"3)*****\\K]4]7F-$\"3rKcRq)p9!GF-7$$\"3)**** *\\PAvr7F-$\"3c#[\\G1TZ%GF-7$$\"3-++]nHi#H\"F-$\"3[`.D8HW')GF-7$$\"3tm ;z*ev:J\"F-$\"3smcX9QJCHF-7$$\"3SLL$347TL\"F-$\"3EAQmoyMpHF-7$$\"3QLLL jM?`8F-$\"3V:juI\"*\\2IF-7$$\"3)***\\7o7Tv8F-$\"3u0#e\\vz=0$F-7$$\"3OL LLQ*o]R\"F-$\"3o]D76b;\"4$F-7$$\"32+]7=lj;9F-$\"3,8\"f%='pU8$F-7$$\"3& ***\\PaRY2a\"F-$\"3!)3wjz[L#Q$F-7$$\"3 %om;zXu9c\"F-$\"3&*)y^A>pPU$F-7$$\"35+++&y))Ge\"F-$\"3-\\c5-edmMF-7$$ \"3.++DE&QQg\"F-$\"3EFeQnXX3NF-7$$\"3C+]7y%3Ti\"F-$\"3++KW%=v*[NF-7$$ \"3#)***\\P![hY;F-$\"3M#yc+DnRf$F-7$$\"3ELLLQx$om\"F-$\"3I+N))G`RMOF-7 $$\"3C++]P+V)o\"F-$\"3M2SWL;cxOF-7$$\"3im;zpe*zq\"F-$\"3sw\"znJxmr$F-7 $$\"37++]#\\'QH%=0%F-7$$ \"35+++&Qk\\*=F-$\"35HK)\\t&[!4%F-7$$\"3mLL3dg6<>F-$\"3,p3S#GwZ8%F-7$$ \"3hmmmw(Gp$>F-$\"3e(*3)fk!RuTF-7$$\"3')**\\7oK0e>F-$\"3\">*oQ)=Gm@%F- 7$$\"3I+](=5s#y>F-$\"3ovoLZ_0dUF-7$$\"#?F*$\"3E+++++]+VF--%'COLOURG6&% $RGBG$F)!\"\"$F*F*F^[l-%+AXESLABELSG6$Q\"x6\"Q!Fc[l-%%VIEWG6$;F(Fdz%(D EFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curv e 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT 280 94 "Cela ressemble a une dro ite de pente 2, on dessine le graphe avec la droite pour les comparer. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 " plot(\{2*x,f(x)\}, x=1 ..20);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6&-%'CUR VESG6$7Y7$$\"\"\"\"\"!$\"\"(F*7$$\"3MLe9T#o<0\"!#<$\"3LRM$e%4]6pF07$$ \"3om;H#[ON5\"F0$\"3ka.G:&)Q\\oF07$$\"3-+vVBZIb6F0$\"3fbv>f4/4oF07$$\" 3NLLekH227F0$\"3y#zK\"Re!oy'F07$$\"3.+](oW41J\"F0$\"3'zon'=&oby'F07$$ \"3qmm;Hf999F0$\"3LWH*H^(QGoF07$$\"31+vV3!>Vf\"F0$\"3?vj7[bYvpF07$$\"3 WL$3x3#\\upF0$\"3k;fQpQ;)o \"Fio7$$\"37LL$esH\"[tF0$\"3Ou&>6**HLx\"Fio7$$\"3FLLL.e'3r(F0$\"35n%G1 \"p`X=Fio7$$\"3.+]P%49G8)F0$\"3,:Sv&e'eH>Fio7$$\"3\\KLLG)4j])F0$\"3G,x _Eg-/?Fio7$$\"3>+]PWQ4;*)F0$\"3a%GWcfMd3#Fio7$$\"3&3+DJ80jI*F0$\"3#=Qz .IqN;#Fio7$$\"32ML3x'\\Mr*F0$\"3xQ[Ux'4[C#Fio7$$\"3OL3_YNt35Fio$\"3roH B6EV>BFio7$$\"3qm;zz@1\\5Fio$\"3G'G%Qj;%**R#Fio7$$\"3imTg&H_44\"Fio$\" 3iItl8]e$[#Fio7$$\"3()*\\iXw2NEFio7$$\"3()****\\\"p)[27Fio$\"3mq])y4\\jr#Fio7$$\"3#* **\\()*>$HZ7Fio$\"3%y/N8'>(ez#Fio7$$\"3))*\\P%3h!eG\"Fio$\"3c%eB1#>#G( GFio7$$\"3))**\\7F\"o&G8Fio$\"3o)**\\)Q$p#eHFio7$$\"3?LL$Gq\"*pO\"Fio$ \"3P;'3xo`].$Fio7$$\"3$****\\72X9F io$\"35oNX$*=M\">$Fio7$$\"33++vNV$e[\"Fio$\"3w86=!fuDF$Fio7$$\"31L3xia 2C:Fio$\"31tJ5`>,\\LFio7$$\"3'**\\(=f%[Sc\"Fio$\"3,/$3r\\9*GMFio7$$\"3 RLLep$HJg\"Fio$\"3EwS3Up.2NFio7$$\"3l*\\P4YVSk\"Fio$\"3!o#\\jto#))e$Fi o7$$\"3ommm$f[Mo\"Fio$\"3g#oUQ!HgnOFio7$$\"3am;HLguB^ *31%Fio7$$\"39+vV47I?>Fio$\"3Ip;T$yW69%Fio7$$\"3#**\\iN*pre>Fio$\"3'=e !z&Gbz@%Fio7$$\"#?F*$\"3E+++++]+VFio-%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*F ^]l-F$6$7S7$F($\"\"#F*7$FH$\"3TLLLe=HGGF07$FR$\"3)om;a<%)*[NF07$FW$\"3 ALL$31y%fVF07$Ffn$\"3'QLLeUW`<&F07$F[o$\"3WmmT?JL()fF07$F`o$\"3^KL3#e] ,u'F07$Feo$\"38***\\(e%\\'>vF07$F[p$\"3%>L$37$3eK)F07$F`p$\"3I++v.=QH \"*F07$Fep$\"3%pmm;\"f&f&**F07$Fjp$\"3GLLe$G+%o5Fio7$F_q$\"37++]B6O]6F io7$Fdq$\"3+++]-&eEB\"Fio7$Fiq$\"32++]ws'>J\"Fio7$F^r$\"3EL$37C()RQ\"F io7$Fcr$\"3kmm;Xfip9Fio7$Fhr$\"3mmmmgJE,Fio7$Fft$\"3sm;/$4nu,#Fio7$F[u$\"3QLLefV7)4#Fio7$F`u$\"3 EL$37f/>=#Fio7$Feu$\"3u**\\7Hb$[D#Fio7$Fju$\"3FLL3SHgLBFio7$F_v$\"3t** ***HQx\\T#Fio7$Fdv$\"3#)***\\(*R'e%\\#Fio7$Fiv$\"3w**\\(o@7;d#Fio7$F^w $\"3w***\\UDOrl#Fio7$Fcw$\"3Smmm0M)Rt#Fio7$Fhw$\"3')****\\UT.;GFio7$F] x$\"3;L$3_I%Q!*GFio7$Fbx$\"3;++]r'o;(HFio7$Fgx$\"37m;aD4:[IFio7$F\\y$ \"3!***\\P=p4GJFio7$Fay$\"3xmm;R(ei?$Fio7$Ffy$\"3I**\\(=#p3)G$Fio7$F[z $\"3OLLL(=(*oO$Fio7$F`z$\"33LLem?\\ZMFio7$Fez$\"3lm;az&>u_$Fio7$Fjz$\" 37+++jY'3g$Fio7$F_[l$\"3[mm\"p,T]o$Fio7$Fd[l$\"3SLLL^$H.w$Fio7$Fi[l$\" 3F+]()=CgSQFio7$F^\\l$\"3#)**\\7()RV " 0 "" {MPLTEXT 1 0 27 "plo t(\{2*x+3,f(x)\}, x=1..5):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 278 16 "Au tre exemple : " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "f:=x->3*x ^2+3+2/x : plot(f(x), x=10..30);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"#5\"\"!$\"3*)***********>.$! #:7$$\"3JLLL3VfV5!#;$\"3_G4p%p$=*H$F-7$$\"3umm\"H[D:3\"F1$\"3!4BC/NT4a $F-7$$\"3OLL$e0$=C6F1$\"3)4ud()pTJ#QF-7$$\"3ILL$3RBr;\"F1$\"3=,H;VYC=T F-7$$\"3mmm\"zjf)47F1$\"3ga@q9T$HU%F-7$$\"3ELLe4;[\\7F1$\"3O(*e(=a8_r% F-7$$\"3%****\\i'y]!H\"F1$\"3j1q,O9yF]F-7$$\"3GLLezs$HL\"F1$\"354>g>em h`F-7$$\"31++D@1Bv8F1$\"3DlMS'3K_q&F-7$$\"3ummm@Xt=9F1$\"3?oe\"fjK)pgF -7$$\"3[LL$3y_qX\"F1$\"3aoUF_5Q+kF-7$$\"3'******\\1!>+:F1$\"3i#=#ydQ/$ y'F-7$$\"3&******\\Z/Na\"F1$\"3qchnXR^yrF-7$$\"3-+++NfC&e\"F1$\"31g[>d cFqvF-7$$\"3YLLez6:B;F1$\"3F1$\"3'=# pt&32e5\"F]r7$$\"3)om;zihl&>F1$\"33u*)GTAa^6F]r7$$\"39LL$3#G,**>F1$\"3 PX,uEd\">?\"F]r7$$\"3WLLezw5V?F1$\"3QWV?(e%Qb7F]r7$$\"3/++v$Q#\\\"3#F1 $\"3zh())zCzGI\"F]r7$$\"3nLL$e\"*[H7#F1$\"3'=2]$Qy;b8F]r7$$\"3?+++qvxl @F1$\"3&R1,/4q-T\"F]r7$$\"31++]_qn2AF1$\"3A?5S$)>Cl9F]r7$$\"37++Dcp@[A F1$\"3B%*p4/GV>:F]r7$$\"3+++]2'HKH#F1$\"35+81Byv!e\"F]r7$$\"3`mmmwanLB F1$\"3OWw$32)*oj\"F]r7$$\"35+++v+'oP#F1$\"3/LQY*GBzp\"F]r7$$\"3CLLeR<* fT#F1$\"3ge/Y2w=a0iw=F]r7$$\"3L++DTO5TDF1$\"3e&fJ1-T-%>F]r7$$\"3wmmmT9 C#e#F1$\"3(Gc45roM+#F]r7$$\"3\"****\\i!*3`i#F1$\"3aI>[P-vq?F]r7$$\"3_L LL$*zymEF1$\"3y!*Q+dCgO@F]r7$$\"3fLL$3N1#4FF1$\"3Z%Gwx`8]?#F]r7$$\"3!p m;HYt7v#F1$\"3+)zMRRCRF#F]r7$$\"3A+++q(G**y#F1$\"3N:,#*[C=QBF]r7$$\"3' pmmT6KU$GF1$\"3`>F%*o?$HT#F]r7$$\"3eLLL`v&Q(GF1$\"3Y=q#Rw'y![#F]r7$$\" 30++DOl5;HF1$\"3Cty#QyrTb#F]r7$$\"3A++v.UacHF1$\"3MRJ;NPTDEF]r7$$\"#IF *$\"3hmmmmm1.FF]r-%'COLOURG6&%$RGBG$F)!\"\"$F*F*F`[l-%+AXESLABELSG6$Q \"x6\"Q!Fe[l-%%VIEWG6$;F(Ffz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT 277 89 "En comparant les echelles, on se dit que cela ressemble \+ \340 une fonction en x^2, comparons:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot(\{x^2,f(x)\}, x=1..20);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$\"\"\"\"\"!$\"\" )F*7$$\"3qmm;Hf999!#<$\"3y7]dK2PT5!#;7$$\"3WL$3x3#\\ua0$F37$$\"3Em;/\"Hv+P$F0$\"3ejqJ&4olw$ F37$$\"3c**\\PHZ#)fPF0$\"3W!RfwcySf%F37$$\"3'fmTg:/H;%F0$\"3W?V,(oupa& F37$$\"3;+](=!4pkXF0$\"3KT(yc[NZf'F37$$\"3[LL$e&z(z(\\F0$\"3!p`nVJcUx( F37$$\"3Qmm\"zT,?M&F0$\"3y'[Kh*G`)*))F37$$\"3_++]pF0$\"3=8^#Hrb%p9Feo7$$\"37LL$esH\"[tF0$\"31 0v/&4sDl\"Feo7$$\"3FLLL.e'3r(F0$\"3>.cc&GE\"Rn,#Feo7$$\"3\\KLLG)4j])F0$\"3pS[n-/2.AFeo7$$\"3>+]PWQ4;*)F0 $\"3Nm\"3!=]9$HZ7F3$\"3/,je^W#))p% Feo7$$\"3))*\\P%3h!eG\"F3$\"3O#*[&**[Z9*\\Feo7$$\"3))**\\7F\"o&G8F3$\" 3\"R=A`=&yE`Feo7$$\"3?LL$Gq\"*pO\"F3$\"3Bml^8?YPcFeo7$$\"3$****\\72X9F3$\"3kLM'G(\\7(H'Feo7$$\"33++vNV$ e[\"F3$\"31GF'\\1dWl'Feo7$$\"31L3xia2C:F3$\"3)*['R'>.t**pFeo7$$\"3'** \\(=f%[Sc\"F3$\"37n%=3[@+P(Feo7$$\"3RLLep$HJg\"F3$\"3%HO9o))=8u(Feo7$$ \"3l*\\P4YVSk\"F3$\"3Itj?F3$\"3)*4x\"3< r$46Ffy7$$\"3#**\\iN*pre>F3$\"3)\\l;fytS:\"Ffy7$$\"#?F*$\"3\"********* **4.7Ffy-%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*Fb[l-F$6$7S7$F(F(7$F.$\"39b'y *3(3)**>F07$F5$\"3yz%R$p@#)[JF07$F:$\"3s*y@2Ci7v%F07$F?$\"3+S5]\"[Zgp' F07$FD$\"3?$f4PZR?'*)F07$FI$\"34d*GnuSd8\"F37$FN$\"3yy>c*>GOT\"F37$FS$ \"3W(*)Q75xHt\"F37$FX$\"3GSg'HISO3#F37$Fgn$\"3]hi(GXE!yCF37$F\\o$\"3en B!\\\"zp`GF37$Fao$\"3&fX]hyE$3LF37$Fgo$\"3EcQYfuh)z$F37$F\\p$\"35pq^O` 9.VF37$Fap$\"3?L'o&4\"Feo7$Fhs$\"3O/6&e\"32r7Feo7$F]t$\"3;%R\" \\qcUh8Feo7$Fbt$\"3)=Q+,%*G!e9Feo7$Fgt$\"3i;WXE.ub:Feo7$F\\u$\"3e(=&\\ [tH`;Feo7$Fau$\"3%*HCToK4l Feo7$F`v$\"3![m[zN!e)3#Feo7$Fev$\"3/WOHtOq2AFeo7$Fjv$\"3\")G,A;g!GK#Fe o7$F_w$\"3s#z'o#eZiW#Feo7$Fdw$\"3!fl?cxB+d#Feo7$Fiw$\"3z^8X,*yGq#Feo7$ F^x$\"3*yF=v;**R$GFeo7$Fcx$\"3!\\v)G(Q+8(HFeo7$Fhx$\"3AxM`AAn5JFeo7$F] y$\"35E0J!ec:C$Feo7$Fby$\"3![b*3C=)[R$Feo7$Fhy$\"3&=uCw?>]`$Feo7$F]z$ \"3uDr'\\tcvo$Feo7$Fbz$\"36=0(3Esl$QFeo7$Fgz$\"$+%F*-F\\[l6&F^[lFb[lF_ [lFb[l-%+AXESLABELSG6$Q\"x6\"Q!F]el-%%VIEWG6$;F(Fgz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT 276 75 "c'est du m\352me type de croi ssance , essayons plusieurs modeles : c'est mieux" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 44 "plot(\{x^2,2*x^2,3*x^2,4*x^2,f(x)\}, x=1..20 ):" }}}{EXCHG {PARA 257 "" 0 "" {TEXT 302 13 "Exercice 10 :" }{TEXT -1 95 "On peut continuer en prenant d'autres exemples avec des logarit hmes, des exponentielles, etc..." }}{PARA 257 "" 0 "" {TEXT -1 65 "Qu' est ce qu'on voit ? Que faut-il changer pour s'y reconnaitre ?" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "plot(\{exp(x),ln(x^2+x),3*x^ 2+4*x^2\}, x=10..20);" }}{PARA 13 "" 1 "" {GLPLOT2D 363 363 363 {PLOTDATA 2 "6'-%'CURVESG6$7Y7$$\"#5\"\"!$\"3zr1[zlk-A!#87$$\"3vmm;arz @5!#;$\"3q6&4$\\[5RFF-7$$\"3GL$e9ui2/\"F1$\"3+DK?%z@6J$F-7$$\"3omm\"z_ \"4i5F1$\"33y'3`(3J)4%F-7$$\"3ummT&phN3\"F1$\"3s,KqJQ#)z]F-7$$\"3CL$e* =)H\\5\"F1$\"3wx:+Q&z**G'F-7$$\"3jm;z/3uC6F1$\"3)3yV@(34owF-7$$\"3)*** \\7LRDX6F1$\"3RLZSn&4ST*F-7$$\"3km;zR'ok;\"F1$\"3=@&Rt&>)Q;\"!#77$$\"3 %***\\i5`h(=\"F1$\"3x?/whJ'zV\"FW7$$\"3PLL$3En$47F1$\"3;#3QhNtty\"FW7$ $\"3ummT!RE&G7F1$\"3cNhdXE#[;#FW7$$\"3)*****\\K]4]7F1$\"3SR9h`T#fo#FW7 $$\"3)*****\\PAvr7F1$\"3o1W*\\L9aL$FW7$$\"3-++]nHi#H\"F1$\"37')[1&o6&4 TFW7$$\"3tm;z*ev:J\"F1$\"3+!yD&4:2n\\FW7$$\"3SLL$347TL\"F1$\"3a<)p4SZE A'FW7$$\"3QLLLjM?`8F1$\"3.g&pba7;`(FW7$$\"3)***\\7o7Tv8F1$\"3gWqvD)*[/ %*FW7$$\"3OLLLQ*o]R\"F1$\"3Ohb'[ZTZ9\"!#67$$\"32+]7=lj;9F1$\"3hD>9N3G? 9Fiq7$$\"3&***\\PaRY2a\"F1$\"3F BO.asK8\\Fiq7$$\"3%om;zXu9c\"F1$\"3p)Q/qL:]/'Fiq7$$\"35+++&y))Ge\"F1$ \"3%H6\">hdc)[(Fiq7$$\"3.++DE&QQg\"F1$\"3@4s^-t$QB*Fiq7$$\"3C+]7y%3Ti \"F1$\"3t*\\I'G@(38\"!#57$$\"3#)***\\P![hY;F1$\"3#H:$>VkI;9Fau7$$\"3EL LLQx$om\"F1$\"3)p$*\\,STPt\"Fau7$$\"3C++]P+V)o\"F1$\"3w+D&*z[e^@Fau7$$ \"3im;zpe*zq\"F1$\"3M&>O>smlh#Fau7$$\"37++]#\\'QHB#)\\< X(Fau7$$\"3%pmmm*RRL=F1$\"3/:Rf*\\Z\"p\"*Fau7$$\"3)pm;a<.Y&=F1$\"3&z\" HcpiaL6!\"*7$$\"3kL$e9tOc(=F1$\"3Sd-f*\\+*)R\"Fix7$$\"35+++&Qk\\*=F1$ \"3kF%p*3;<(p\"Fix7$$\"3mLL3dg6<>F1$\"3hh\"pQ0;!=@Fix7$$\"39+](oTAq#>F 1$\"3$[Y;5()y&QBFix7$$\"3hmmmw(Gp$>F1$\"3MLc'>L5@e#Fix7$$\"3CLeRA5\\Z> F1$\"3=?8&>4j(pGFix7$$\"3')**\\7oK0e>F1$\"3w%)*Q4+h%*=$Fix7$$\"33+++&o i\"o>F1$\"3l*\\%G)[e(GNFix7$$\"3I+](=5s#y>F1$\"3Baop@2:/RFix7$$\"3/]iS wSq$)>F1$\"37@e6z()3ATFix7$$\"3;+v$40O\"*)>F1$\"3#3!Q!eg#>_VFix7$$\"3E ](oa-oX*>F1$\"3i\\\\1@89&f%Fix7$$\"#?F*$\"3=-z4a>l^[Fix-%'COLOURG6&%$R GBG$F)!\"\"$F*F*Fa]l-F$6$7S7$F($\"3d;Czl.[+Z!#<7$F/$\"3BVV-!=l;u%Fh]l7 $F5$\"3eG@rX6#ox%Fh]l7$F:$\"3vQ6Z7&R&[Fh]l7$FD $\"3=xSSILP\"*[Fh]l7$FI$\"3q%>UI._a#\\Fh]l7$FN$\"3'oIHb/O,'\\Fh]l7$FS$ \"3=fE#Ha$Q&*\\Fh]l7$FY$\"3]P03`%4*H]Fh]l7$Fhn$\"3)o$GU(\\6[1&Fh]l7$F] o$\"3A:+SJf0&4&Fh]l7$Fbo$\"3R\"oH[uk&G^Fh]l7$Fgo$\"3e\"px\"yZlh^Fh]l7$ F\\p$\"3!)R.0WE.$>&Fh]l7$Fap$\"363_(3'e5@_Fh]l7$Ffp$\"3i&\\O<1#)RD&Fh] l7$F[q$\"3CEH)yI:9G&Fh]l7$F`q$\"3*>O\\KvfGJ&Fh]l7$Feq$\"30BvdOjGS`Fh]l 7$F[r$\"3/jTkk1&*p`Fh]l7$F`r$\"3%oT=cZ%z(R&Fh]l7$Fer$\"3j(=I+rQkU&Fh]l 7$Fjr$\"33RXe[hQ_aFh]l7$F_s$\"3]]UQo7+![&Fh]l7$Fds$\"3>M7i6rG3bFh]l7$F is$\"3S%\\V'e\")eKbFh]l7$F^t$\"3as:)>;1&ebFh]l7$Fct$\"3'H^)>SN$\\e&Fh] l7$Fht$\"3Y$HrKo`/h&Fh]l7$F]u$\"3LF+)\\JR[j&Fh]l7$Fcu$\"3;+*R!\\7dhcFh ]l7$Fhu$\"3#)puq2)*G&o&Fh]l7$F]v$\"3yDOCsuI5dFh]l7$Fbv$\"30&*ovS)4Ft&F h]l7$Fgv$\"3o]Rjjv\"pv&Fh]l7$F\\w$\"3/%>.sXI%zdFh]l7$Faw$\"3l[(Hc#\\p- eFh]l7$Ffw$\"3HFLEQ8=DeFh]l7$F[x$\"3!p'H))[XX[eFh]l7$F`x$\"3s)3!3%3;1( eFh]l7$Fex$\"3#zXi58GI*eFh]l7$F[y$\"3)zxV*>\"4]\"fFh]l7$F`y$\"3SnF?Gk* \\$fFh]l7$Fey$\"3%)p\\)f)4mdfFh]l7$F_z$\"3oWOjrprxfFh]l7$Fiz$\"3s$G@cX \")))*fFh]l7$Fc[l$\"3E\\@4-3$*=gFh]l7$Fg\\l$\"3(QTx7ra-/'Fh]l-F\\]l6&F ^]lFa]lF_]lFa]l-F$6$7S7$F($\"$+(F*7$F/$\"3i#pT)pf[3t!#:7$F5$\"3#z0b!)e 4Be(Fdgl7$F:$\"3oWjT(=#)Fdgl7$FD$\"3'f1jPL*3 Y&)Fdgl7$FI$\"3-TQuXJHb))Fdgl7$FN$\"3oszO**fC\"=*Fdgl7$FS$\"3%f%>K8OaC &*Fdgl7$FY$\"371k@#)3,t)*Fdgl7$Fhn$\"3$R'G5?%)zB5!#97$F]o$\"3!G9lV'R\\ c5F`il7$Fbo$\"3CBo>8j\"R4\"F`il7$Fgo$\"3hz.^Fw9K6F`il7$F\\p$\"3MafF&*= hp6F`il7$Fap$\"30^hTp8;/7F`il7$Ffp$\"3)=QN'\\&)*eC\"F`il7$F[q$\"3_HTAH <\"=G\"F`il7$F`q$\"3?a'R&4$HUK\"F`il7$Feq$\"3wX<*)R@Ni8F`il7$F[r$\"3^E (RrJ,[S\"F`il7$F`r$\"3=7Pf#GGeW\"F`il7$Fer$\"3;N&)36^E*[\"F`il7$Fjr$\" 3#*=@W:*>(H:F`il7$F_s$\"3]tkTKO'Rd\"F`il7$Fds$\"3^N$p6E)e?;F`il7$Fis$ \"31?TWz\"HF`il7$F]v$\"3_wD2%>db*>F`il7$Fbv$\"39ux&Q#\\2U?F`il7 $Fgv$\"35#F`il 7$Ffw$\"3wj*=cSzcC#F`il7$F[x$\"3TCP];8++BF`il7$F`x$\"3Gi$4H[LHN#F`il7$ Fex$\"394fycqo2CF`il7$F[y$\"3q!*p(Q?4EY#F`il7$F`y$\"3G+HH9Ii8DF`il7$Fe y$\"3mB(GMyLFd#F`il7$F_z$\"3(3g:,;&=EEF`il7$Fiz$\"31&\\q0#3y$o#F`il7$F c[l$\"3+_)RjN#\\RFF`il7$Fg\\l$\"%+GF*-F\\]l6&F^]lF_]lF_]lFa]l-%+AXESLA BELSG6$Q\"x6\"Q!Fi`m-%%VIEWG6$;F(Fg\\l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "84 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }