From a2d056072f1a516f9da9b07f7e8c1dd3dea3dac8 Mon Sep 17 00:00:00 2001 From: zeefaad Date: Wed, 6 May 2026 20:51:55 +0200 Subject: [PATCH] =?UTF-8?q?avanc=C3=A9e+?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- < | 363 ++ composants.typ | 327 +- main.pdf | 8915 +++++++++++++++++++++++++++++++----------------- main.typ | 181 +- 4 files changed, 6570 insertions(+), 3216 deletions(-) create mode 100644 < diff --git a/< b/< new file mode 100644 index 0000000..1c763ee --- /dev/null +++ b/< @@ -0,0 +1,363 @@ +#import "composants.typ": * + +#set page( + paper: "presentation-4-3", + margin: 0cm, +) + +// Font +#set text( + font: "New Computer Modern", + size: 20pt, + fill: black, +) +#set math.mat(delim: "[") + +// Page de garde +#slide[ + #place(center + horizon)[ + #graphe_tanner_fond(1cm, 1.5) + ] + #v(1fr) + #align(center + horizon)[ + #pad(x: 2cm)[ + #text(size: 3em, weight: "bold", fill: black)[#titre] + + #text(size: 1.2em, weight: "bold", fill: black)[#auteur] + + #h(0.5em) + + #text(size: 1.2em, fill: black)[n°#numero] + + #text(size: 0.95em, fill: black)[#annee] + ] + ] + #v(1fr) +] + +#myslide("Plan")[ + #design_plan(( + [Introduction], + [Codes linéaires], + [LDPC], + [Codage], + [Décodage], + [Analyse], + )) +] + +#myslide("Introduction : Communication Numérique")[ + #place(center + horizon)[ + #canal_shannon_intro() + ] +] + +#myslide("Introduction : Utilisation")[ + #align(center + horizon)[ + #grid( + columns: (1.5fr, 1.5fr), + gutter: 1.5cm, + align: center + horizon, + [ + #box(width: 80%)[ + #stack( + dir: ttb, + spacing: -0.5em, + image("src/athena_fidus_no_text.jpg", width: 100%), + align(left)[ + #box( + inset: (x: 5pt, y: 0pt), + text(size: 0.45em, fill: white)[* https://gallery.ariane.group *], + ) + ], + ) + ] + #v(0.5em) + Athena-Fidus + ], + [ + #box(width: 80%)[ + #stack( + dir: ttb, + spacing: -0.5em, + image("src/runcamfpv2.png", width: 100%), + align(left)[ + #box( + inset: (x: 5pt, y: 0pt), + text(size: 0.45em, fill: white)[* https://www.runcam.com/ *], + ) + ], + ) + ] + #v(0.5em) + Module OpenIPC + ], + ) + ] +] + +#myslide("Problématique")[ + #place(center + horizon, dy: 8.1cm)[#graphe_tanner_fond(0.9cm, 1.75)] + #place(center + horizon, dy: 7.7cm)[ + #block(width: 100%)[ + #text(size: 1.2em, weight: "bold", fill: black)[ + Comment utiliser les codes LDPC pour garantir la fiabilité d'une transmission en présence de bruit ? + ] + ] + ] +] + +#myslide("Définition : Codes Linéaires en Bloc")[ + #definition(titre: [Code $display((n,k) in NN^2)$])[ + $cal(C)$ sous-espace vectoriel de dimension $k$ de $FF_2^n$ + ] + + #[ + #set text(size: 1.1em) + - $k$ : longueur du message original + - $n$ : longueur du mot de code + - $m = n - k$ : nombre de bits de parités + ] + + #definition(titre: "Encodage")[ + $Phi : FF_2^k & -> FF_2^n in cal(L)(FF_2^k, FF_2^n)$ + ] + + #v(-1.3em) + + #uncover(2)[ + #align(center + horizon)[ + #plongement_schema() + ] + ] +] + +#myslide("Définition : Matrice Génératrice")[ + #definition(titre: "Matrice Génératrice")[ + $G in cal(M)_(k,n)(FF_2)$ dont les lignes sont une base de $cal(C)$ + ] + + #definition(titre: "Encodage")[ + Pour un message $u in FF_2^k$ le mot de code $c in cal(C)$ est : + $ + c = Phi(u) = u dot.o G + $ + ] + + #definition(titre: "Forme systématique")[ + $ + G = mat( + I_k, P; + augment: #1, + delim: "[", + ) + $ + ] + + #[ + #set text(size: 1.2em) + - Pour $u in FF_2^k, space display(u dot.o G = mat(u, u dot.o P; augment: #1, delim: "[",))$ + + - $P in cal(M)_(k ,(n-k))(FF_2)$ matrice de parité\ + ] +] + +#myslide("Définition : Matrice de Contrôle")[ + #definition(titre: "Matrice de Contrôle")[ + $ + H = mat( + P^top, I_(n-k); + augment: #1, + delim: "[", + ) + $ + ] + #[ + #set text(size: 1.2em) + - $cal(C) = ker(H) = {v in FF_2^n | H dot.o v^top = 0}$ + + - $display(G dot.o H^top = 0)$ + ] + + #definition(titre: "Syndrome")[ + Pour un vecteur reçu $r = c + e, space s in FF_2^(n - k)$ + $ + s = H r^top = H c^top + H e^top = 0 + H e^top + $ + ] + #[ + #set text(size: 1.2em) + - Si $s = 0, space r$ est un mot de code valide + - Sinon s donne la signature de l'erreur $e$ + ] + // Possible décodage par syndrome +] + +#myslide("Exemple d'un code linéaire")[ + #[ + #set text(size: 1.1em) + #let col-u = blue + #let col-p = orange + + + #underline(offset: 3pt)[Exemple d'un code $(5,2)$] + + + - On choisit la matrice de parité $P$ : + $ + P = #math.mat( + (text(fill: col-p)[1], text(fill: col-p)[1], text(fill: col-p)[0]), + (text(fill: col-p)[0], text(fill: col-p)[1], text(fill: col-p)[1]), + ) + $ + + - Alors la matrice génératrice $G$ est : + $ + G = #math.mat( + (text(fill: col-u)[1], text(fill: col-u)[0], text(fill: col-p)[1], text(fill: col-p)[1], text(fill: col-p)[0]), + (text(fill: col-u)[0], text(fill: col-u)[1], text(fill: col-p)[0], text(fill: col-p)[1], text(fill: col-p)[1]), + augment: 2, + ) + $ + + - Message $display(u = #math.mat((text(fill: col-u)[1], text(fill: col-u)[1])))$ + + - Mot de code $c = u G$ : + $ + c = #math.mat((text(fill: col-u)[1], text(fill: col-u)[1])) + #math.mat( + (text(fill: col-u)[1], text(fill: col-u)[0], text(fill: col-p)[1], text(fill: col-p)[1], text(fill: col-p)[0]), + (text(fill: col-u)[0], text(fill: col-u)[1], text(fill: col-p)[0], text(fill: col-p)[1], text(fill: col-p)[1]), + augment: 2, + ) + = + #math.mat(( + text(fill: col-u)[1], + text(fill: col-u)[1], + text(fill: col-p)[1], + text(fill: col-p)[0], + text(fill: col-p)[1], + )) + $ + ] +] + +#myslide("Exemple d'une code linéaire")[ + #[ + #set math.mat(delim: "[") + #let colu = blue + #let colp = orange + + #v(0.5em) + + #set text(size: 1.1em) + Enfin + + $ + H = #math.mat( + (text(fill: colp)[1], text(fill: colp)[0], 1, 0, 0), + (text(fill: colp)[1], text(fill: colp)[1], 0, 1, 0), + (text(fill: colp)[0], text(fill: colp)[1], 0, 0, 1), + augment: 2, + ) + $ + + #v(0.8em) + + Vérification du mot de code $display(c = mat(#text(fill: colu)[1], #text(fill: colu)[1], #text(fill: colp)[1], #text(fill: colp)[0], #text(fill: colp)[1]))$ + + #v(0.8em) + + $ + H c^top = mat( + 1, 0, 1, 0, 0; + 1, 1, 0, 1, 0; + 0, 1, 0, 0, 1 + ) mat(#text(fill: colu)[1], #text(fill: colu)[1], #text(fill: colp)[1], #text(fill: colp)[0], #text(fill: colp)[1])^top + = mat( + 1 plus.o 0 plus.o 1 plus.o 0 plus.o 0; + 1 plus.o 1 plus.o 0 plus.o 0 plus.o 0; + 0 plus.o 1 plus.o 0 plus.o 0 plus.o 1 + ) + = mat(0; 0; 0) + $ + ] +] + +// A REMPLACER AVEC DE VRAI DONNE SUR DE VRAI CODE LDPC ET HAMMING PAR EXEMPLE +#myslide("Approcher la Limite de Shannon")[ + #limite_shannon_graphique() + +] + +// #myslide("Redondance et limite théorique")[ +// Graphique waterfall avec n = 100 et n = 64800 avec limite de Shannon, $display(R = k /n) < 1$, $m = n - k$ +// +// Bande passante... +// +// Il existe $C$ pour un canal tel que pour $R < C$ on peut atteindre une probabilité d'erreur nulle. +// $=>$ gros bloc (moyenne du bruit aléatoire) +// ] + +#myslide("Décodage par Maximum de Vraisemblance")[ + Trouver le message envoyer le + probable sachant le message recu : NP-COMPLET (Max) + Decodage par syndrome d'une code lin'aire général est NP-Complet + Complexité $O(2^k)$ +] + +#myslide("LDPC")[ + Matrice $H$ clairsemée(low density) donc complexité mointre, pas de produit de matrice mais algorithme itératif efficace quasi linéaire + Graphique d'un H très grand clairesemée avec plein de 0, généré en rust par exemple où les 1 sont des points noir et le reste du blanc + Défniition avec (w_r,w_c) +] + +#myslide("Graphe de Tanner")[ + Il existe un isomorphisme entre H et le Graphe de Tanner + Graphe de tanner (cetz) + Contrainte de somme nulle +] + +#myslide("Encodage")[ +] + +#myslide("Décodage")[ + Canal d'étude (AWGN) analogique, tension etc, ce qui se passe en radio dans les cables etc +] + +#myslide("Hard decoding")[ + Nul (0 ou 1) + transition perte d'information +] + +#myslide("Implementation")[ + +] + +#myslide("Soft decoding")[ + belief propagation, log ou virgule fixe, explication resultat meilleur +] + +#myslide("Implementation")[ + +] + +#myslide("Test")[ + Irl hackrf, test de diff de debit avec des paquets +] + +#myslide("Image")[ + Test de transmission d'image avec différent ldpc non opti et opti (le H) +] + +#myslide("Annexe")[ + #align(center + horizon)[ + Annexe + ] + #align(center + horizon)[ + #image("src/construction.jpg", width: 80%) + ] +] + +#myslide("Théorie deriere la définition des codes linaires")[ + Poser les notations algebriques etc... +] diff --git a/composants.typ b/composants.typ index d0c283f..2e1187a 100644 --- a/composants.typ +++ b/composants.typ @@ -174,44 +174,117 @@ } // Schema Shannon +// #let canal_shannon_intro() = { +// cetz.canvas({ +// import cetz.draw: * +// +// // Styles +// let s = (stroke: 2pt + black) +// let s_fleche = (stroke: 2pt + black) +// let pointe_pleine = (end: "stealth", fill: black) +// +// let espacement = 5.5 +// +// // Blocs +// content((0, 0), [Source], name: "src", frame: "rect", ..s, padding: .3) +// content((espacement, 0), [Emetteur], name: "em", frame: "rect", ..s, padding: .3) +// content((espacement * 2, 0), [Canal], name: "chan", frame: "rect", ..s, padding: .3) +// content((espacement * 3, 0), [Récepteur], name: "rec", frame: "rect", ..s, padding: .3) +// content((espacement * 4, 0), [Destinataire], name: "dest", frame: "rect", ..s, padding: .3) +// +// // Bruit +// content((rel: (0, 1.8), to: "chan"), [Bruit], name: "bruit", frame: "rect", ..s, padding: .3) +// +// // Codage / Décodage +// content((rel: (0, 1), to: "em"), [*Codage*]) +// content((rel: (0, 1), to: "rec"), [*Décodage*]) +// +// // Flèches (On utilise s_fleche et pointe_pleine) +// line("src.east", "em.west", mark: pointe_pleine, ..s_fleche) +// line("em.east", "chan.west", mark: pointe_pleine, ..s_fleche) +// line("chan.east", "rec.west", mark: pointe_pleine, ..s_fleche) +// line("rec.east", "dest.west", mark: pointe_pleine, ..s_fleche) +// line("bruit.south", "chan.north", mark: pointe_pleine, ..s_fleche) +// +// // Annotation +// let note-style = (size: 0.75em, style: "italic") +// content((espacement * 0.5, -0.5), text(..note-style)[Message]) +// content((espacement * 1.5, -0.5), text(..note-style)[Signal]) +// content((espacement * 2.5, -0.5), text(..note-style)[Signal]) +// content((espacement * 3.5, -0.5), text(..note-style)[Message]) +// }) +// } + #let canal_shannon_intro() = { - cetz.canvas({ + // Couleurs + let col-u = blue // Signal propre + let col-p = orange // Signal bruité + let C_MAIN = black + let C_BG = rgb("#f8f9fa") // Le gris très clair demandé + let C_LABEL = black + + cetz.canvas(length: 1cm, { import cetz.draw: * - // Styles - let s = (stroke: 2pt + black) - let s_fleche = (stroke: 2pt + black) - let pointe_pleine = (end: "stealth", fill: black) + let x_left = 4.0 ; let x_right = 16.0 ; let x_noise = 22.5 + let y_top = 14.5 ; let y_mid = 9.0 ; let y_bot = 3.5 - let espacement = 5.5 + // Style des lignes avec flèches + let s_ligne = (stroke: 1.5pt + C_MAIN, mark: (end: "stealth", fill: C_MAIN, size: 0.25)) + let s_bruit_fleche = (stroke: (paint: black, thickness: 1.5pt, dash: "dashed"), mark: (end: "stealth", fill: black, size: 0.25)) - // Blocs - content((0, 0), [Source], name: "src", frame: "rect", ..s, padding: .3) - content((espacement, 0), [Emetteur], name: "em", frame: "rect", ..s, padding: .3) - content((espacement * 2, 0), [Canal], name: "chan", frame: "rect", ..s, padding: .3) - content((espacement * 3, 0), [Récepteur], name: "rec", frame: "rect", ..s, padding: .3) - content((espacement * 4, 0), [Destinataire], name: "dest", frame: "rect", ..s, padding: .3) + // Fonction de bloc avec le nouveau fond + let bloc(pos, txt, stxt, n) = { + content(pos, [#set align(center); #text(C_MAIN, weight: "bold", size: 1.2em)[#txt] \ #text(C_MAIN, size: 0.85em, style: "italic")[#stxt]], + frame: "rect", fill: C_BG, stroke: C_MAIN + 1.5pt, padding: 0.7, radius: 0.3, name: n) + } - // Bruit - content((rel: (0, 1.8), to: "chan"), [Bruit], name: "bruit", frame: "rect", ..s, padding: .3) + // --- ONDES (Bruit dosé : "tremblement" au lieu de "chaos") --- + let wave_vert(x, y_start, y_end, is_noisy) = { + let n_points = 200 + let color = if is_noisy { col-p } else { col-u } + + line(..range(n_points + 1).map(i => { + let t = i / n_points + let y = y_start + t * (y_end - y_start) + + // Enveloppe pour raccord propre + let env = if t < 0.05 { t/0.05 } else if t > 0.95 { (1-t)/0.05 } else { 1.0 } + + let signal = 0.35 * calc.sin(t * 6 * calc.pi) + + // Bruit dosé : on a baissé les fréquences et l'amplitude + let bruit = if is_noisy { + (0.08 * calc.sin(t * 45 * calc.pi) + 0.05 * calc.cos(t * 97 * calc.pi)) + } else { 0 } + + (x + (signal + bruit) * env, y) + }), stroke: color + 1.6pt) + } - // Codage / Décodage - content((rel: (0, 1), to: "em"), [*Codage*]) - content((rel: (0, 1), to: "rec"), [*Décodage*]) + wave_vert(x_right, y_top - 1.5, y_mid + 1, false) // Bleu + wave_vert(x_right, y_mid - 1, y_bot + 1.5, true) // Orange - // Flèches (On utilise s_fleche et pointe_pleine) - line("src.east", "em.west", mark: pointe_pleine, ..s_fleche) - line("em.east", "chan.west", mark: pointe_pleine, ..s_fleche) - line("chan.east", "rec.west", mark: pointe_pleine, ..s_fleche) - line("rec.east", "dest.west", mark: pointe_pleine, ..s_fleche) - line("bruit.south", "chan.north", mark: pointe_pleine, ..s_fleche) + // --- BLOCS --- + bloc((x_left, y_top), "Source", "Information", "src") + bloc((x_right, y_top), "Émetteur", "Codage", "em") + bloc((x_right, y_mid), "Canal", "", "canal") + bloc((x_noise, y_mid), "Bruit", "", "bruit") + bloc((x_right, y_bot), "Récepteur", "Décodage", "rec") + bloc((x_left, y_bot), "Destinataire", "Information", "dest") - // Annotation - let note-style = (size: 0.75em, style: "italic") - content((espacement * 0.5, -0.5), text(..note-style)[Message]) - content((espacement * 1.5, -0.5), text(..note-style)[Signal]) - content((espacement * 2.5, -0.5), text(..note-style)[Signal]) - content((espacement * 3.5, -0.5), text(..note-style)[Message]) + // --- CONNEXIONS --- + line("src.east", "em.west", ..s_ligne) + line("bruit.west", "canal.east", ..s_bruit_fleche) + line("rec.west", "dest.east", ..s_ligne) + + // --- ANNOTATIONS --- + let lab(pos, body, color: C_LABEL, anchor: "center") = content(pos, text(size: 0.95em, fill: color, style: "italic", weight: "medium")[#body], anchor: anchor) + + lab(((x_left + x_right)/2 - 0.3, y_top + 0.7), "Message") + lab((x_right + 1.2, (y_top + y_mid)/2), "Signal", color: col-u, anchor: "west") + lab((x_right + 1.2, (y_mid + y_bot)/2), "Signal + Bruit", color: col-p, anchor: "west") + lab(((x_left + x_right)/2 + 0.3, y_bot - 0.7), "Message reçu") }) } @@ -500,3 +573,199 @@ ] } +#let decor_matrice_etoilee() = { + // Ajuste length (ex: 0.6mm ou 0.7mm) selon ta diapo + cetz.canvas(length: 0.7mm, { + import cetz.draw: * + + // --- 1. Paramètres de la Matrice --- + let nx = 430 + let ny = 265 + + // --- 2. Paramètres de la Loupe --- + let loupe_x = nx * 0.70 + let loupe_y = -ny / 2.0 + let R = 50.0 + let zoom = 3.0 + + // --- 3. Paramètre d'Estompage (Gauche uniquement) --- + let fade_left = 220.0 + + // Palette de couleurs + let col_focus = rgb("#0284c7") + let col_fade = rgb("#64748b") + let col_grid = rgb("#e2e8f0") + + // --- Fonction pseudo-aléatoire --- + let pseudo_rand(x, y) = { + let v = x * 7919 + y * 104729 + (x * x) * 313 + (y * y) * 991 + (x * y) * 101 + calc.rem(calc.abs(v), 100) + } + + // --- ÉTAPE A : Dessin de la matrice (Fade à gauche uniquement) --- + for x in range(nx) { + for y in range(ny) { + let hash = pseudo_rand(x, y) + let is_active = hash < 12 + + if is_active { + // L'intensité ne dépend plus que de la position X + let intensity = calc.min(1.0, x / fade_left) + + if intensity > 0.05 { + let radius = 0.20 + 0.15 * intensity + let c = col_fade.lighten((1.0 - intensity) * 80%) + circle((x, -y), radius: radius, fill: c, stroke: none) + } + } + } + } + + // --- ÉTAPE B : Dessin de la Loupe --- + circle((loupe_x, loupe_y), radius: R, fill: white, stroke: none) + + // Grille zoomée + let limit = 20 + for k in range(-limit, limit + 1) { + let offset = k * zoom + if calc.abs(offset) < R { + let half_chord = calc.sqrt(R * R - offset * offset) + line((loupe_x + offset, loupe_y + half_chord), (loupe_x + offset, loupe_y - half_chord), stroke: 0.5pt + col_grid) + line((loupe_x - half_chord, loupe_y + offset), (loupe_x + half_chord, loupe_y + offset), stroke: 0.5pt + col_grid) + } + } + + // Points zoomés + let search_r = int(R / zoom) + 2 + let lx_int = int(loupe_x) + let ly_idx = int(-loupe_y) + + for x in range(lx_int - search_r, lx_int + search_r + 1) { + for y in range(ly_idx - search_r, ly_idx + search_r + 1) { + let hash = pseudo_rand(x, y) + if hash < 12 { + let dx = x - loupe_x + let dy = -y - loupe_y + let d_orig = calc.sqrt(dx * dx + dy * dy) + let d_zoom = d_orig * zoom + + if d_zoom <= R - 1.2 { + circle((loupe_x + dx * zoom, loupe_y + dy * zoom), radius: 1.1, fill: col_focus, stroke: none) + } + } + } + } + + // Bordures de la Loupe + circle((loupe_x, loupe_y), radius: R, stroke: 1.8pt + col_focus.lighten(20%)) + circle((loupe_x, loupe_y), radius: R + 1.5, stroke: 1.0pt + col_focus.lighten(50%)) + circle((loupe_x, loupe_y), radius: R + 3.5, stroke: 0.5pt + col_focus.lighten(80%)) + }) +} + +#let hldpc() = { + import cetz.draw: * + + let points = ( + (7,0), (10,0), (15,0), (22,0), (24,0), (29,0), (3,1), (6,1), (18,1), (19,1), (25,1), (27,1), + (5,2), (9,2), (13,2), (14,2), (17,2), (28,2), (0,3), (8,3), (11,3), (16,3), (20,3), (26,3), + (1,4), (2,4), (4,4), (12,4), (21,4), (23,4), (5,5), (6,5), (8,5), (10,5), (21,5), (29,5), + (14,6), (15,6), (16,6), (18,6), (22,6), (28,6), (0,7), (1,7), (4,7), (9,7), (20,7), (26,7), + (2,8), (3,8), (11,8), (12,8), (17,8), (19,8), (7,9), (13,9), (23,9), (24,9), (25,9), (27,9), + (0,10), (6,10), (15,10), (18,10), (21,10), (26,10), (2,11), (7,11), (10,11), (17,11), (22,11), (27,11), + (8,12), (11,12), (14,12), (20,12), (23,12), (29,12), (4,13), (5,13), (9,13), (13,13), (16,13), (19,13), + (1,14), (3,14), (12,14), (24,14), (25,14), (28,14) + ) + + cetz.canvas(length: 0.45cm, { + let nx = 30 + let ny = 15 + let cell_size = 1.0 + let h_width = nx * cell_size + let h_height = ny * cell_size + + // Palette unifiée + let color_blue = blue + let color_orange = orange + let col_dot_base = gray.darken(30%) + + // Définition des couleurs de fond (lighten) + let col_row_bg = color_blue.lighten(90%) + let col_col_bg = color_orange.lighten(90%) + // Calcul du mélange pour l'intersection + let col_mix_bg = col_row_bg.mix(col_col_bg) + + // Label "H =" + content((-3.4, -h_height / 2), text(size: 1.6em, weight: "bold")[$bold(H) = $]) + + // Sélection visuelle (Focus) + let sel_row = 7 + let sel_col = 10 + + // Rectangles de fond + rect((0, -sel_row), (h_width, -sel_row - 1), fill: col_row_bg, stroke: none) + rect((sel_col, 0), (sel_col + 1, -h_height), fill: col_col_bg, stroke: none) + rect((sel_col, -sel_row), (sel_col + 1, -sel_row - 1), fill: col_mix_bg, stroke: none) + + // Grands crochets matriciels + let b_w = 0.6 + set-style(stroke: (thickness: 1.5pt, cap: "round")) + line((b_w, 0.3), (0, 0.3), (0, -h_height - 0.3), (b_w, -h_height - 0.3)) + line((h_width - b_w, 0.3), (h_width, 0.3), (h_width, -h_height - 0.3), (h_width - b_w, -h_height - 0.3)) + + // Dessin des points + for (x, y) in points { + let px = x + 0.5 + let py = -y - 0.5 + + let is_row = (y == sel_row) + let is_col = (x == sel_col) + + let d_col = col_dot_base + let r = 0.16 + + if is_row { + d_col = color_blue + r = 0.24 + } else if is_col { + d_col = color_orange + r = 0.24 + } + + circle((px, py), radius: r, fill: d_col, stroke: none) + } + + // 5. Légendes w_r et w_c + content((h_width + 0.5, -sel_row - 0.5), anchor: "west", text(fill: color_blue, weight: "bold", size: 1.1em)[$w_r = 6$]) + content((sel_col + 0.5, 0.8), anchor: "south", text(fill: color_orange, weight: "bold", size: 1.1em)[$w_c = 3$]) + }) +} + +#let hldpc_dual(row1: 0, row2: 14) = { + import cetz.draw: * + let points = ((7,0), (10,0), (15,0), (22,0), (24,0), (29,0), (3,1), (6,1), (18,1), (19,1), (25,1), (27,1), (5,2), (9,2), (13,2), (14,2), (17,2), (28,2), (0,3), (8,3), (11,3), (16,3), (20,3), (26,3), (1,4), (2,4), (4,4), (12,4), (21,4), (23,4), (5,5), (6,5), (8,5), (10,5), (21,5), (29,5), (14,6), (15,6), (16,6), (18,6), (22,6), (28,6), (0,7), (1,7), (4,7), (9,7), (20,7), (26,7), (2,8), (3,8), (11,8), (12,8), (17,8), (19,8), (7,9), (13,9), (23,9), (24,9), (25,9), (27,9), (0,10), (6,10), (15,10), (18,10), (21,10), (26,10), (2,11), (7,11), (10,11), (17,11), (22,11), (27,11), (8,12), (11,12), (14,12), (20,12), (23,12), (29,12), (4,13), (5,13), (9,13), (13,13), (16,13), (19,13), (1,14), (3,14), (12,14), (24,14), (25,14), (28,14)) + + cetz.canvas(length: 0.35cm, { + let nx = 30; let ny = 15 + let col_1 = orange; let col_2 = blue + + content((-3.4, -7.5), text(size: 1.6em )[$H = $]) + + // Fonds de lignes + rect((0, -row1), (nx, -row1 - 1), fill: col_1.lighten(90%), stroke: none) + if row2 != none { rect((0, -row2), (nx, -row2 - 1), fill: col_2.lighten(90%), stroke: none) } + + // Crochets + set-style(stroke: (thickness: 1.2pt)) + line((0.5, 0.3), (0, 0.3), (0, -ny - 0.3), (0.5, -ny - 0.3)) + line((nx - 0.5, 0.3), (nx, 0.3), (nx, -ny - 0.3), (nx - 0.5, -ny - 0.3)) + + for (x, y) in points { + let d_col = gray.darken(30%) + let r = 0.15 + if y == row1 { d_col = col_1; r = 0.22 } + else if y == row2 { d_col = col_2; r = 0.22 } + circle((x + 0.5, -y - 0.5), radius: r, fill: d_col, stroke: none) + } + }) +} diff --git a/main.pdf b/main.pdf index bf7f312..7eecc93 100644 --- a/main.pdf +++ b/main.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 25 - /Kids [515 0 R 517 0 R 519 0 R 523 0 R 525 0 R 527 0 R 529 0 R 531 0 R 533 0 R 535 0 R 537 0 R 539 0 R 541 0 R 543 0 R 545 0 R 547 0 R 549 0 R 551 0 R 553 0 R 555 0 R 557 0 R 559 0 R 561 0 R 563 0 R 565 0 R] + /Count 30 + /Kids [690 0 R 692 0 R 694 0 R 698 0 R 700 0 R 702 0 R 704 0 R 706 0 R 708 0 R 710 0 R 712 0 R 714 0 R 716 0 R 718 0 R 720 0 R 722 0 R 724 0 R 726 0 R 728 0 R 730 0 R 732 0 R 734 0 R 736 0 R 738 0 R 740 0 R 742 0 R 744 0 R 746 0 R 748 0 R 750 0 R] >> endobj @@ -19,175 +19,140 @@ endobj /Strong /Span /Em /Span >> - /K [28 0 R] + /K [33 0 R] /ParentTree << - /Nums [0 3 0 R 1 4 0 R 2 5 0 R 3 432 0 R 4 426 0 R 5 6 0 R 6 7 0 R 7 8 0 R 8 9 0 R 9 10 0 R 10 11 0 R 11 12 0 R 12 13 0 R 13 14 0 R 14 15 0 R 15 16 0 R 16 17 0 R 17 18 0 R 18 19 0 R 19 20 0 R 20 21 0 R 21 22 0 R 22 23 0 R 23 24 0 R 24 25 0 R 25 26 0 R 26 27 0 R] + /Nums [0 3 0 R 1 4 0 R 2 5 0 R 3 606 0 R 4 600 0 R 5 6 0 R 6 7 0 R 7 8 0 R 8 9 0 R 9 10 0 R 10 11 0 R 11 12 0 R 12 13 0 R 13 14 0 R 14 15 0 R 15 16 0 R 16 17 0 R 17 18 0 R 18 19 0 R 19 20 0 R 20 21 0 R 21 22 0 R 22 23 0 R 23 24 0 R 24 25 0 R 25 26 0 R 26 27 0 R 27 28 0 R 28 29 0 R 29 30 0 R 30 31 0 R 31 32 0 R] >> - /ParentTreeNextKey 27 + /ParentTreeNextKey 32 >> endobj 3 0 obj -[480 0 R 479 0 R 478 0 R 477 0 R] +[655 0 R 654 0 R 653 0 R 652 0 R] endobj 4 0 obj -[476 0 R 474 0 R 471 0 R 468 0 R 465 0 R 462 0 R 459 0 R 456 0 R 454 0 R 452 0 R 450 0 R] +[651 0 R 648 0 R 645 0 R 642 0 R 639 0 R 636 0 R 633 0 R 628 0 R 626 0 R 624 0 R 622 0 R] endobj 5 0 obj -[445 0 R 445 0 R 445 0 R 445 0 R 445 0 R 445 0 R 445 0 R 447 0 R 446 0 R 445 0 R 445 0 R 445 0 R 445 0 R 444 0 R 442 0 R 440 0 R 438 0 R] +[619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 619 0 R 618 0 R 616 0 R 614 0 R 612 0 R] endobj 6 0 obj -[435 0 R 434 0 R 433 0 R 430 0 R 428 0 R 427 0 R 424 0 R 421 0 R 419 0 R 417 0 R 415 0 R] +[609 0 R 608 0 R 607 0 R 604 0 R 602 0 R 601 0 R 598 0 R 595 0 R 593 0 R 591 0 R 589 0 R] endobj 7 0 obj -[412 0 R 412 0 R 412 0 R 411 0 R 409 0 R 407 0 R 405 0 R] +[586 0 R 586 0 R 586 0 R 585 0 R 583 0 R 581 0 R 579 0 R] endobj 8 0 obj -[402 0 R 399 0 R 400 0 R 400 0 R 400 0 R 400 0 R 400 0 R 400 0 R 400 0 R 400 0 R 398 0 R 395 0 R 397 0 R 395 0 R 396 0 R 396 0 R 396 0 R 392 0 R 391 0 R 390 0 R 388 0 R 387 0 R 386 0 R 384 0 R 383 0 R 383 0 R 383 0 R 383 0 R 383 0 R 382 0 R 378 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 377 0 R 373 0 R 371 0 R 369 0 R 367 0 R] +[576 0 R 573 0 R 574 0 R 574 0 R 574 0 R 574 0 R 574 0 R 574 0 R 574 0 R 574 0 R 572 0 R 569 0 R 571 0 R 569 0 R 570 0 R 570 0 R 570 0 R 566 0 R 565 0 R 564 0 R 562 0 R 561 0 R 560 0 R 558 0 R 557 0 R 557 0 R 557 0 R 557 0 R 557 0 R 556 0 R 552 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 547 0 R 545 0 R 543 0 R 541 0 R] endobj 9 0 obj -[364 0 R 361 0 R 362 0 R 362 0 R 362 0 R 362 0 R 362 0 R 362 0 R 362 0 R 362 0 R 360 0 R 357 0 R 359 0 R 357 0 R 358 0 R 358 0 R 358 0 R 354 0 R 353 0 R 352 0 R 350 0 R 349 0 R 348 0 R 346 0 R 345 0 R 345 0 R 345 0 R 345 0 R 345 0 R 344 0 R 340 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 339 0 R 335 0 R 335 0 R 335 0 R 335 0 R 334 0 R 334 0 R 334 0 R 333 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 331 0 R 331 0 R 331 0 R 330 0 R 328 0 R 326 0 R 324 0 R] +[538 0 R 535 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 536 0 R 534 0 R 531 0 R 533 0 R 531 0 R 532 0 R 532 0 R 532 0 R 528 0 R 527 0 R 526 0 R 524 0 R 523 0 R 522 0 R 520 0 R 519 0 R 519 0 R 519 0 R 519 0 R 519 0 R 518 0 R 514 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 513 0 R 509 0 R 509 0 R 509 0 R 509 0 R 508 0 R 508 0 R 508 0 R 507 0 R 506 0 R 506 0 R 506 0 R 506 0 R 506 0 R 506 0 R 506 0 R 506 0 R 505 0 R 505 0 R 505 0 R 504 0 R 502 0 R 500 0 R 498 0 R] endobj 10 0 obj -[321 0 R 319 0 R 318 0 R 318 0 R 318 0 R 318 0 R 318 0 R 318 0 R 318 0 R 318 0 R 318 0 R 318 0 R 316 0 R 317 0 R 312 0 R 309 0 R 311 0 R 311 0 R 311 0 R 311 0 R 311 0 R 309 0 R 310 0 R 310 0 R 310 0 R 309 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 304 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 300 0 R 298 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 299 0 R 295 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 293 0 R 289 0 R 287 0 R 285 0 R 283 0 R] +[495 0 R 493 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 492 0 R 490 0 R 491 0 R 486 0 R 483 0 R 485 0 R 485 0 R 485 0 R 485 0 R 485 0 R 483 0 R 484 0 R 484 0 R 484 0 R 483 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 482 0 R 478 0 R 477 0 R 477 0 R 477 0 R 477 0 R 477 0 R 477 0 R 477 0 R 474 0 R 472 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 473 0 R 469 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 468 0 R 467 0 R 463 0 R 461 0 R 459 0 R 457 0 R] endobj 11 0 obj -[280 0 R 278 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 274 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 273 0 R 269 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 262 0 R 260 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 256 0 R 254 0 R 255 0 R 255 0 R 255 0 R 255 0 R 255 0 R 255 0 R 254 0 R 252 0 R 250 0 R 251 0 R 247 0 R 245 0 R 243 0 R 241 0 R] +[454 0 R 452 0 R 451 0 R 451 0 R 451 0 R 451 0 R 451 0 R 451 0 R 451 0 R 451 0 R 451 0 R 451 0 R 448 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 447 0 R 443 0 R 442 0 R 442 0 R 442 0 R 442 0 R 442 0 R 442 0 R 436 0 R 434 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 435 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 433 0 R 430 0 R 428 0 R 429 0 R 429 0 R 429 0 R 429 0 R 429 0 R 429 0 R 428 0 R 426 0 R 424 0 R 425 0 R 421 0 R 419 0 R 417 0 R 415 0 R] endobj 12 0 obj -[238 0 R 237 0 R 236 0 R 236 0 R 236 0 R 236 0 R 236 0 R 233 0 R 231 0 R 232 0 R 231 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 227 0 R 225 0 R 226 0 R 225 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 222 0 R 221 0 R 219 0 R 220 0 R 220 0 R 220 0 R 220 0 R 220 0 R 220 0 R 216 0 R 214 0 R 215 0 R 215 0 R 215 0 R 215 0 R 214 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 209 0 R 207 0 R 205 0 R 203 0 R] +[412 0 R 411 0 R 410 0 R 410 0 R 410 0 R 410 0 R 410 0 R 407 0 R 405 0 R 406 0 R 405 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 402 0 R 401 0 R 399 0 R 400 0 R 399 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 396 0 R 395 0 R 393 0 R 394 0 R 394 0 R 394 0 R 394 0 R 394 0 R 394 0 R 390 0 R 388 0 R 389 0 R 389 0 R 389 0 R 389 0 R 388 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 384 0 R 383 0 R 381 0 R 379 0 R 377 0 R] endobj 13 0 obj -[200 0 R 199 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 196 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 194 0 R 192 0 R 190 0 R 188 0 R] +[374 0 R 373 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 372 0 R 370 0 R 371 0 R 371 0 R 371 0 R 371 0 R 371 0 R 371 0 R 371 0 R 371 0 R 371 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 368 0 R 366 0 R 364 0 R 362 0 R] endobj 14 0 obj -[185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 184 0 R 184 0 R 184 0 R 184 0 R 183 0 R 182 0 R 182 0 R 182 0 R 181 0 R 181 0 R 181 0 R 180 0 R 180 0 R 180 0 R 179 0 R 179 0 R 179 0 R 178 0 R 178 0 R 178 0 R 177 0 R 177 0 R 177 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 175 0 R 175 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 173 0 R 172 0 R 170 0 R 168 0 R 166 0 R] +[359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 358 0 R 358 0 R 358 0 R 358 0 R 357 0 R 356 0 R 356 0 R 356 0 R 355 0 R 355 0 R 355 0 R 354 0 R 354 0 R 354 0 R 353 0 R 353 0 R 353 0 R 352 0 R 352 0 R 352 0 R 351 0 R 351 0 R 351 0 R 350 0 R 350 0 R 350 0 R 350 0 R 350 0 R 349 0 R 349 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 347 0 R 346 0 R 344 0 R 342 0 R 340 0 R] endobj 15 0 obj -[163 0 R 163 0 R 163 0 R 163 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 161 0 R 159 0 R 157 0 R 155 0 R] +[337 0 R 335 0 R 332 0 R 334 0 R 334 0 R 334 0 R 332 0 R 333 0 R 332 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 331 0 R 328 0 R 325 0 R 327 0 R 325 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 325 0 R 321 0 R 318 0 R 320 0 R 318 0 R 319 0 R 319 0 R 319 0 R 319 0 R 319 0 R 315 0 R 312 0 R 314 0 R 314 0 R 314 0 R 314 0 R 314 0 R 312 0 R 313 0 R 313 0 R 313 0 R 313 0 R 313 0 R 313 0 R 313 0 R 313 0 R 313 0 R 312 0 R 309 0 R 307 0 R 305 0 R 303 0 R] endobj 16 0 obj -[152 0 R 152 0 R 151 0 R 150 0 R 150 0 R 150 0 R 150 0 R 149 0 R 147 0 R 145 0 R 143 0 R] +[300 0 R 298 0 R 295 0 R 297 0 R 295 0 R 296 0 R 295 0 R 292 0 R 291 0 R 290 0 R 290 0 R 285 0 R 284 0 R 283 0 R 283 0 R 276 0 R 275 0 R 275 0 R 275 0 R 275 0 R 275 0 R 275 0 R 273 0 R 274 0 R 274 0 R 274 0 R 274 0 R 269 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 268 0 R 265 0 R 263 0 R 261 0 R 259 0 R] endobj 17 0 obj -[140 0 R 140 0 R 140 0 R 139 0 R 137 0 R 135 0 R 133 0 R] +[256 0 R 253 0 R 254 0 R 254 0 R 254 0 R 254 0 R 254 0 R 252 0 R 252 0 R 252 0 R 252 0 R 252 0 R 252 0 R 252 0 R 249 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 249 0 R 250 0 R 250 0 R 250 0 R 250 0 R 250 0 R 250 0 R 250 0 R 250 0 R 250 0 R 246 0 R 246 0 R 245 0 R 245 0 R 245 0 R 245 0 R 244 0 R 244 0 R 244 0 R 244 0 R 243 0 R 241 0 R 239 0 R 237 0 R] endobj 18 0 obj -[130 0 R 129 0 R 127 0 R 125 0 R 123 0 R] +[234 0 R 233 0 R 233 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 228 0 R 224 0 R 227 0 R 224 0 R 226 0 R 224 0 R 225 0 R 225 0 R 224 0 R 222 0 R 219 0 R 221 0 R 219 0 R 220 0 R 220 0 R 220 0 R 220 0 R 220 0 R 219 0 R 215 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 214 0 R 211 0 R 209 0 R 210 0 R 210 0 R 210 0 R 210 0 R 209 0 R 206 0 R 204 0 R 202 0 R 200 0 R] endobj 19 0 obj -[120 0 R 120 0 R 120 0 R 119 0 R 117 0 R 115 0 R 113 0 R] +[197 0 R 196 0 R 196 0 R 195 0 R 192 0 R 194 0 R 194 0 R 192 0 R 193 0 R 193 0 R 193 0 R 193 0 R 192 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 189 0 R 188 0 R 187 0 R 187 0 R 187 0 R 183 0 R 185 0 R 185 0 R 183 0 R 184 0 R 184 0 R 184 0 R 183 0 R 181 0 R 177 0 R 180 0 R 180 0 R 180 0 R 180 0 R 177 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 177 0 R 178 0 R 178 0 R 178 0 R 177 0 R 174 0 R 172 0 R 170 0 R 168 0 R] endobj 20 0 obj -[110 0 R 110 0 R 109 0 R 107 0 R 105 0 R 103 0 R] +[165 0 R 165 0 R 165 0 R 164 0 R 162 0 R 160 0 R 158 0 R] endobj 21 0 obj -[100 0 R 99 0 R 97 0 R 95 0 R 93 0 R] +[155 0 R 154 0 R 152 0 R 150 0 R 148 0 R] endobj 22 0 obj -[90 0 R 90 0 R 89 0 R 87 0 R 85 0 R 83 0 R] +[145 0 R 145 0 R 145 0 R 144 0 R 142 0 R 140 0 R 138 0 R] endobj 23 0 obj -[80 0 R 79 0 R 77 0 R 75 0 R 73 0 R] +[135 0 R 135 0 R 134 0 R 132 0 R 130 0 R 128 0 R] endobj 24 0 obj -[70 0 R 70 0 R 69 0 R 67 0 R 65 0 R 63 0 R] +[125 0 R 124 0 R 122 0 R 120 0 R 118 0 R] endobj 25 0 obj -[60 0 R 60 0 R 59 0 R 57 0 R 55 0 R 53 0 R] +[115 0 R 115 0 R 114 0 R 112 0 R 110 0 R 108 0 R] endobj 26 0 obj -[50 0 R 49 0 R 48 0 R 47 0 R 45 0 R 43 0 R 41 0 R] +[105 0 R 104 0 R 102 0 R 100 0 R 98 0 R] endobj 27 0 obj -[38 0 R 38 0 R 37 0 R 35 0 R 33 0 R 31 0 R] +[95 0 R 95 0 R 94 0 R 92 0 R 90 0 R 88 0 R] endobj 28 0 obj -<< - /Type /StructElem - /S /Document - /P 2 0 R - /K [480 0 R 479 0 R 478 0 R 477 0 R 476 0 R 457 0 R 448 0 R 447 0 R 446 0 R 445 0 R 436 0 R 435 0 R 422 0 R 413 0 R 412 0 R 403 0 R 402 0 R 393 0 R 380 0 R 374 0 R 365 0 R 364 0 R 355 0 R 342 0 R 336 0 R 335 0 R 334 0 R 333 0 R 332 0 R 331 0 R 322 0 R 321 0 R 314 0 R 306 0 R 301 0 R 290 0 R 281 0 R 280 0 R 275 0 R 264 0 R 257 0 R 248 0 R 239 0 R 238 0 R 234 0 R 229 0 R 228 0 R 223 0 R 222 0 R 211 0 R 210 0 R 201 0 R 200 0 R 199 0 R 198 0 R 196 0 R 195 0 R 186 0 R 185 0 R 184 0 R 183 0 R 182 0 R 181 0 R 180 0 R 179 0 R 178 0 R 177 0 R 176 0 R 175 0 R 174 0 R 173 0 R 164 0 R 163 0 R 162 0 R 153 0 R 152 0 R 151 0 R 150 0 R 141 0 R 140 0 R 131 0 R 130 0 R 121 0 R 120 0 R 111 0 R 110 0 R 101 0 R 100 0 R 91 0 R 90 0 R 81 0 R 80 0 R 71 0 R 70 0 R 61 0 R 60 0 R 51 0 R 50 0 R 49 0 R 48 0 R 39 0 R 38 0 R 29 0 R] ->> +[85 0 R 85 0 R 84 0 R 82 0 R 80 0 R 78 0 R] endobj 29 0 obj -<< - /Type /StructElem - /S /Div - /P 28 0 R - /K [36 0 R 34 0 R 32 0 R 30 0 R] ->> +[75 0 R 74 0 R 73 0 R 72 0 R 70 0 R 68 0 R 66 0 R] endobj 30 0 obj -<< - /Type /StructElem - /S /Div - /P 29 0 R - /K [31 0 R] ->> +[63 0 R 63 0 R 62 0 R 60 0 R 58 0 R 56 0 R] endobj 31 0 obj -<< - /Type /StructElem - /S /Span - /P 30 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 565 0 R ->> +[53 0 R 53 0 R 52 0 R 50 0 R 48 0 R 46 0 R] endobj 32 0 obj -<< - /Type /StructElem - /S /Div - /P 29 0 R - /K [33 0 R] ->> +[43 0 R 42 0 R 40 0 R 38 0 R 36 0 R] endobj 33 0 obj << /Type /StructElem - /S /Span - /P 32 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 565 0 R + /S /Document + /P 2 0 R + /K [655 0 R 654 0 R 653 0 R 652 0 R 651 0 R 629 0 R 620 0 R 619 0 R 610 0 R 609 0 R 596 0 R 587 0 R 586 0 R 577 0 R 576 0 R 567 0 R 554 0 R 548 0 R 539 0 R 538 0 R 529 0 R 516 0 R 510 0 R 509 0 R 508 0 R 507 0 R 506 0 R 505 0 R 496 0 R 495 0 R 488 0 R 480 0 R 475 0 R 464 0 R 455 0 R 454 0 R 449 0 R 438 0 R 431 0 R 422 0 R 413 0 R 412 0 R 408 0 R 403 0 R 402 0 R 397 0 R 396 0 R 385 0 R 384 0 R 375 0 R 374 0 R 373 0 R 372 0 R 370 0 R 369 0 R 360 0 R 359 0 R 358 0 R 357 0 R 356 0 R 355 0 R 354 0 R 353 0 R 352 0 R 351 0 R 350 0 R 349 0 R 348 0 R 347 0 R 338 0 R 337 0 R 329 0 R 323 0 R 316 0 R 310 0 R 301 0 R 300 0 R 293 0 R 278 0 R 271 0 R 266 0 R 257 0 R 256 0 R 247 0 R 246 0 R 245 0 R 244 0 R 235 0 R 234 0 R 229 0 R 217 0 R 212 0 R 207 0 R 198 0 R 197 0 R 196 0 R 190 0 R 189 0 R 175 0 R 166 0 R 165 0 R 156 0 R 155 0 R 146 0 R 145 0 R 136 0 R 135 0 R 126 0 R 125 0 R 116 0 R 115 0 R 106 0 R 105 0 R 96 0 R 95 0 R 86 0 R 85 0 R 76 0 R 75 0 R 74 0 R 73 0 R 64 0 R 63 0 R 54 0 R 53 0 R 44 0 R 43 0 R 34 0 R] >> endobj @@ -195,45 +160,40 @@ endobj << /Type /StructElem /S /Div - /P 29 0 R - /K [35 0 R] + /P 33 0 R + /K [41 0 R 39 0 R 37 0 R 35 0 R] >> endobj 35 0 obj << /Type /StructElem - /S /Span + /S /Div /P 34 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 565 0 R + /K [36 0 R] >> endobj 36 0 obj << /Type /StructElem - /S /Div - /P 29 0 R - /K [37 0 R] + /S /Span + /P 35 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 750 0 R >> endobj 37 0 obj << /Type /StructElem - /S /Span - /P 36 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 565 0 R + /S /Div + /P 34 0 R + /K [38 0 R] >> endobj @@ -241,13 +201,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 37 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 565 0 R + /K [3] + /Pg 750 0 R >> endobj @@ -255,40 +215,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [46 0 R 44 0 R 42 0 R 40 0 R] + /P 34 0 R + /K [40 0 R] >> endobj 40 0 obj << /Type /StructElem - /S /Div + /S /Span /P 39 0 R - /K [41 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 750 0 R >> endobj 41 0 obj << /Type /StructElem - /S /Span - /P 40 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 563 0 R + /S /Div + /P 34 0 R + /K [42 0 R] >> endobj 42 0 obj << /Type /StructElem - /S /Div - /P 39 0 R - /K [43 0 R] + /S /Span + /P 41 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 750 0 R >> endobj @@ -296,13 +261,13 @@ endobj << /Type /StructElem /S /Span - /P 42 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 563 0 R + /K [0] + /Pg 750 0 R >> endobj @@ -310,69 +275,63 @@ endobj << /Type /StructElem /S /Div - /P 39 0 R - /K [45 0 R] + /P 33 0 R + /K [51 0 R 49 0 R 47 0 R 45 0 R] >> endobj 45 0 obj << /Type /StructElem - /S /Span + /S /Div /P 44 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 563 0 R + /K [46 0 R] >> endobj 46 0 obj << /Type /StructElem - /S /Div - /P 39 0 R - /K [47 0 R] + /S /Span + /P 45 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 748 0 R >> endobj 47 0 obj << /Type /StructElem - /S /Span - /P 46 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 563 0 R + /S /Div + /P 44 0 R + /K [48 0 R] >> endobj 48 0 obj << /Type /StructElem - /S /Figure - /P 28 0 R + /S /Span + /P 47 0 R /A [<< /O /Layout /Placement /Block >>] - /K [2] - /Pg 563 0 R + /K [4] + /Pg 748 0 R >> endobj 49 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [1] - /Pg 563 0 R + /S /Div + /P 44 0 R + /K [50 0 R] >> endobj @@ -380,13 +339,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 49 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 563 0 R + /K [3] + /Pg 748 0 R >> endobj @@ -394,17 +353,22 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [58 0 R 56 0 R 54 0 R 52 0 R] + /P 44 0 R + /K [52 0 R] >> endobj 52 0 obj << /Type /StructElem - /S /Div + /S /Span /P 51 0 R - /K [53 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 748 0 R >> endobj @@ -412,13 +376,13 @@ endobj << /Type /StructElem /S /Span - /P 52 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 561 0 R + /K [0 1] + /Pg 748 0 R >> endobj @@ -426,68 +390,63 @@ endobj << /Type /StructElem /S /Div - /P 51 0 R - /K [55 0 R] + /P 33 0 R + /K [61 0 R 59 0 R 57 0 R 55 0 R] >> endobj 55 0 obj << /Type /StructElem - /S /Span + /S /Div /P 54 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 561 0 R + /K [56 0 R] >> endobj 56 0 obj << /Type /StructElem - /S /Div - /P 51 0 R - /K [57 0 R] + /S /Span + /P 55 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 746 0 R >> endobj 57 0 obj << /Type /StructElem - /S /Span - /P 56 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 561 0 R + /S /Div + /P 54 0 R + /K [58 0 R] >> endobj 58 0 obj << /Type /StructElem - /S /Div - /P 51 0 R - /K [59 0 R] + /S /Span + /P 57 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 746 0 R >> endobj 59 0 obj << /Type /StructElem - /S /Span - /P 58 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 561 0 R + /S /Div + /P 54 0 R + /K [60 0 R] >> endobj @@ -495,13 +454,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 59 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 561 0 R + /K [3] + /Pg 746 0 R >> endobj @@ -509,17 +468,22 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [68 0 R 66 0 R 64 0 R 62 0 R] + /P 54 0 R + /K [62 0 R] >> endobj 62 0 obj << /Type /StructElem - /S /Div + /S /Span /P 61 0 R - /K [63 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 746 0 R >> endobj @@ -527,13 +491,13 @@ endobj << /Type /StructElem /S /Span - /P 62 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 559 0 R + /K [0 1] + /Pg 746 0 R >> endobj @@ -541,68 +505,63 @@ endobj << /Type /StructElem /S /Div - /P 61 0 R - /K [65 0 R] + /P 33 0 R + /K [71 0 R 69 0 R 67 0 R 65 0 R] >> endobj 65 0 obj << /Type /StructElem - /S /Span + /S /Div /P 64 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 559 0 R + /K [66 0 R] >> endobj 66 0 obj << /Type /StructElem - /S /Div - /P 61 0 R - /K [67 0 R] + /S /Span + /P 65 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 744 0 R >> endobj 67 0 obj << /Type /StructElem - /S /Span - /P 66 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 559 0 R + /S /Div + /P 64 0 R + /K [68 0 R] >> endobj 68 0 obj << /Type /StructElem - /S /Div - /P 61 0 R - /K [69 0 R] + /S /Span + /P 67 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 744 0 R >> endobj 69 0 obj << /Type /StructElem - /S /Span - /P 68 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 559 0 R + /S /Div + /P 64 0 R + /K [70 0 R] >> endobj @@ -610,13 +569,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 69 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 559 0 R + /K [4] + /Pg 744 0 R >> endobj @@ -624,40 +583,46 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [78 0 R 76 0 R 74 0 R 72 0 R] + /P 64 0 R + /K [72 0 R] >> endobj 72 0 obj << /Type /StructElem - /S /Div + /S /Span /P 71 0 R - /K [73 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 744 0 R >> endobj 73 0 obj << /Type /StructElem - /S /Span - /P 72 0 R + /S /Figure + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 557 0 R + /K [2] + /Pg 744 0 R >> endobj 74 0 obj << /Type /StructElem - /S /Div - /P 71 0 R - /K [75 0 R] + /S /P + /P 33 0 R + /K [1] + /Pg 744 0 R >> endobj @@ -665,13 +630,13 @@ endobj << /Type /StructElem /S /Span - /P 74 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [3] - /Pg 557 0 R + /K [0] + /Pg 744 0 R >> endobj @@ -679,45 +644,40 @@ endobj << /Type /StructElem /S /Div - /P 71 0 R - /K [77 0 R] + /P 33 0 R + /K [83 0 R 81 0 R 79 0 R 77 0 R] >> endobj 77 0 obj << /Type /StructElem - /S /Span + /S /Div /P 76 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 557 0 R + /K [78 0 R] >> endobj 78 0 obj << /Type /StructElem - /S /Div - /P 71 0 R - /K [79 0 R] + /S /Span + /P 77 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 742 0 R >> endobj 79 0 obj << /Type /StructElem - /S /Span - /P 78 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 557 0 R + /S /Div + /P 76 0 R + /K [80 0 R] >> endobj @@ -725,13 +685,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 79 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 557 0 R + /K [4] + /Pg 742 0 R >> endobj @@ -739,40 +699,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [88 0 R 86 0 R 84 0 R 82 0 R] + /P 76 0 R + /K [82 0 R] >> endobj 82 0 obj << /Type /StructElem - /S /Div + /S /Span /P 81 0 R - /K [83 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 742 0 R >> endobj 83 0 obj << /Type /StructElem - /S /Span - /P 82 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 555 0 R + /S /Div + /P 76 0 R + /K [84 0 R] >> endobj 84 0 obj << /Type /StructElem - /S /Div - /P 81 0 R - /K [85 0 R] + /S /Span + /P 83 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 742 0 R >> endobj @@ -780,13 +745,13 @@ endobj << /Type /StructElem /S /Span - /P 84 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 555 0 R + /K [0 1] + /Pg 742 0 R >> endobj @@ -794,45 +759,40 @@ endobj << /Type /StructElem /S /Div - /P 81 0 R - /K [87 0 R] + /P 33 0 R + /K [93 0 R 91 0 R 89 0 R 87 0 R] >> endobj 87 0 obj << /Type /StructElem - /S /Span + /S /Div /P 86 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 555 0 R + /K [88 0 R] >> endobj 88 0 obj << /Type /StructElem - /S /Div - /P 81 0 R - /K [89 0 R] + /S /Span + /P 87 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 740 0 R >> endobj 89 0 obj << /Type /StructElem - /S /Span - /P 88 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 555 0 R + /S /Div + /P 86 0 R + /K [90 0 R] >> endobj @@ -840,13 +800,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 89 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 555 0 R + /K [4] + /Pg 740 0 R >> endobj @@ -854,40 +814,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [98 0 R 96 0 R 94 0 R 92 0 R] + /P 86 0 R + /K [92 0 R] >> endobj 92 0 obj << /Type /StructElem - /S /Div + /S /Span /P 91 0 R - /K [93 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 740 0 R >> endobj 93 0 obj << /Type /StructElem - /S /Span - /P 92 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 553 0 R + /S /Div + /P 86 0 R + /K [94 0 R] >> endobj 94 0 obj << /Type /StructElem - /S /Div - /P 91 0 R - /K [95 0 R] + /S /Span + /P 93 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 740 0 R >> endobj @@ -895,13 +860,13 @@ endobj << /Type /StructElem /S /Span - /P 94 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [3] - /Pg 553 0 R + /K [0 1] + /Pg 740 0 R >> endobj @@ -909,45 +874,40 @@ endobj << /Type /StructElem /S /Div - /P 91 0 R - /K [97 0 R] + /P 33 0 R + /K [103 0 R 101 0 R 99 0 R 97 0 R] >> endobj 97 0 obj << /Type /StructElem - /S /Span + /S /Div /P 96 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 553 0 R + /K [98 0 R] >> endobj 98 0 obj << /Type /StructElem - /S /Div - /P 91 0 R - /K [99 0 R] + /S /Span + /P 97 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 738 0 R >> endobj 99 0 obj << /Type /StructElem - /S /Span - /P 98 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 553 0 R + /S /Div + /P 96 0 R + /K [100 0 R] >> endobj @@ -955,13 +915,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 99 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 553 0 R + /K [3] + /Pg 738 0 R >> endobj @@ -969,40 +929,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [108 0 R 106 0 R 104 0 R 102 0 R] + /P 96 0 R + /K [102 0 R] >> endobj 102 0 obj << /Type /StructElem - /S /Div + /S /Span /P 101 0 R - /K [103 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 738 0 R >> endobj 103 0 obj << /Type /StructElem - /S /Span - /P 102 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 551 0 R + /S /Div + /P 96 0 R + /K [104 0 R] >> endobj 104 0 obj << /Type /StructElem - /S /Div - /P 101 0 R - /K [105 0 R] + /S /Span + /P 103 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 738 0 R >> endobj @@ -1010,13 +975,13 @@ endobj << /Type /StructElem /S /Span - /P 104 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 551 0 R + /K [0] + /Pg 738 0 R >> endobj @@ -1024,45 +989,40 @@ endobj << /Type /StructElem /S /Div - /P 101 0 R - /K [107 0 R] + /P 33 0 R + /K [113 0 R 111 0 R 109 0 R 107 0 R] >> endobj 107 0 obj << /Type /StructElem - /S /Span + /S /Div /P 106 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 551 0 R + /K [108 0 R] >> endobj 108 0 obj << /Type /StructElem - /S /Div - /P 101 0 R - /K [109 0 R] + /S /Span + /P 107 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 736 0 R >> endobj 109 0 obj << /Type /StructElem - /S /Span - /P 108 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 551 0 R + /S /Div + /P 106 0 R + /K [110 0 R] >> endobj @@ -1070,13 +1030,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 109 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 551 0 R + /K [4] + /Pg 736 0 R >> endobj @@ -1084,40 +1044,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [118 0 R 116 0 R 114 0 R 112 0 R] + /P 106 0 R + /K [112 0 R] >> endobj 112 0 obj << /Type /StructElem - /S /Div + /S /Span /P 111 0 R - /K [113 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 736 0 R >> endobj 113 0 obj << /Type /StructElem - /S /Span - /P 112 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 549 0 R + /S /Div + /P 106 0 R + /K [114 0 R] >> endobj 114 0 obj << /Type /StructElem - /S /Div - /P 111 0 R - /K [115 0 R] + /S /Span + /P 113 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 736 0 R >> endobj @@ -1125,13 +1090,13 @@ endobj << /Type /StructElem /S /Span - /P 114 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 549 0 R + /K [0 1] + /Pg 736 0 R >> endobj @@ -1139,45 +1104,40 @@ endobj << /Type /StructElem /S /Div - /P 111 0 R - /K [117 0 R] + /P 33 0 R + /K [123 0 R 121 0 R 119 0 R 117 0 R] >> endobj 117 0 obj << /Type /StructElem - /S /Span + /S /Div /P 116 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 549 0 R + /K [118 0 R] >> endobj 118 0 obj << /Type /StructElem - /S /Div - /P 111 0 R - /K [119 0 R] + /S /Span + /P 117 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 734 0 R >> endobj 119 0 obj << /Type /StructElem - /S /Span - /P 118 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 549 0 R + /S /Div + /P 116 0 R + /K [120 0 R] >> endobj @@ -1185,13 +1145,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 119 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1 2] - /Pg 549 0 R + /K [3] + /Pg 734 0 R >> endobj @@ -1199,40 +1159,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [128 0 R 126 0 R 124 0 R 122 0 R] + /P 116 0 R + /K [122 0 R] >> endobj 122 0 obj << /Type /StructElem - /S /Div + /S /Span /P 121 0 R - /K [123 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 734 0 R >> endobj 123 0 obj << /Type /StructElem - /S /Span - /P 122 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 547 0 R + /S /Div + /P 116 0 R + /K [124 0 R] >> endobj 124 0 obj << /Type /StructElem - /S /Div - /P 121 0 R - /K [125 0 R] + /S /Span + /P 123 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 734 0 R >> endobj @@ -1240,13 +1205,13 @@ endobj << /Type /StructElem /S /Span - /P 124 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [3] - /Pg 547 0 R + /K [0] + /Pg 734 0 R >> endobj @@ -1254,45 +1219,40 @@ endobj << /Type /StructElem /S /Div - /P 121 0 R - /K [127 0 R] + /P 33 0 R + /K [133 0 R 131 0 R 129 0 R 127 0 R] >> endobj 127 0 obj << /Type /StructElem - /S /Span + /S /Div /P 126 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 547 0 R + /K [128 0 R] >> endobj 128 0 obj << /Type /StructElem - /S /Div - /P 121 0 R - /K [129 0 R] + /S /Span + /P 127 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 732 0 R >> endobj 129 0 obj << /Type /StructElem - /S /Span - /P 128 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 547 0 R + /S /Div + /P 126 0 R + /K [130 0 R] >> endobj @@ -1300,13 +1260,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 129 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 547 0 R + /K [4] + /Pg 732 0 R >> endobj @@ -1314,40 +1274,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [138 0 R 136 0 R 134 0 R 132 0 R] + /P 126 0 R + /K [132 0 R] >> endobj 132 0 obj << /Type /StructElem - /S /Div + /S /Span /P 131 0 R - /K [133 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 732 0 R >> endobj 133 0 obj << /Type /StructElem - /S /Span - /P 132 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 545 0 R + /S /Div + /P 126 0 R + /K [134 0 R] >> endobj 134 0 obj << /Type /StructElem - /S /Div - /P 131 0 R - /K [135 0 R] + /S /Span + /P 133 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 732 0 R >> endobj @@ -1355,13 +1320,13 @@ endobj << /Type /StructElem /S /Span - /P 134 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 545 0 R + /K [0 1] + /Pg 732 0 R >> endobj @@ -1369,45 +1334,40 @@ endobj << /Type /StructElem /S /Div - /P 131 0 R - /K [137 0 R] + /P 33 0 R + /K [143 0 R 141 0 R 139 0 R 137 0 R] >> endobj 137 0 obj << /Type /StructElem - /S /Span + /S /Div /P 136 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 545 0 R + /K [138 0 R] >> endobj 138 0 obj << /Type /StructElem - /S /Div - /P 131 0 R - /K [139 0 R] + /S /Span + /P 137 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 730 0 R >> endobj 139 0 obj << /Type /StructElem - /S /Span - /P 138 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 545 0 R + /S /Div + /P 136 0 R + /K [140 0 R] >> endobj @@ -1415,13 +1375,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 139 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1 2] - /Pg 545 0 R + /K [5] + /Pg 730 0 R >> endobj @@ -1429,40 +1389,45 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [148 0 R 146 0 R 144 0 R 142 0 R] + /P 136 0 R + /K [142 0 R] >> endobj 142 0 obj << /Type /StructElem - /S /Div + /S /Span /P 141 0 R - /K [143 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 730 0 R >> endobj 143 0 obj << /Type /StructElem - /S /Span - /P 142 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10] - /Pg 543 0 R + /S /Div + /P 136 0 R + /K [144 0 R] >> endobj 144 0 obj << /Type /StructElem - /S /Div - /P 141 0 R - /K [145 0 R] + /S /Span + /P 143 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 730 0 R >> endobj @@ -1470,13 +1435,13 @@ endobj << /Type /StructElem /S /Span - /P 144 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [9] - /Pg 543 0 R + /K [0 1 2] + /Pg 730 0 R >> endobj @@ -1484,45 +1449,40 @@ endobj << /Type /StructElem /S /Div - /P 141 0 R - /K [147 0 R] + /P 33 0 R + /K [153 0 R 151 0 R 149 0 R 147 0 R] >> endobj 147 0 obj << /Type /StructElem - /S /Span + /S /Div /P 146 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [8] - /Pg 543 0 R + /K [148 0 R] >> endobj 148 0 obj << /Type /StructElem - /S /Div - /P 141 0 R - /K [149 0 R] + /S /Span + /P 147 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 728 0 R >> endobj 149 0 obj << /Type /StructElem - /S /Span - /P 148 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [7] - /Pg 543 0 R + /S /Div + /P 146 0 R + /K [150 0 R] >> endobj @@ -1530,27 +1490,22 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 149 0 R /A [<< /O /Layout /Placement /Block >>] - /K [3 4 5 6] - /Pg 543 0 R + /K [3] + /Pg 728 0 R >> endobj 151 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 543 0 R + /S /Div + /P 146 0 R + /K [152 0 R] >> endobj @@ -1558,13 +1513,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 151 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 543 0 R + /K [2] + /Pg 728 0 R >> endobj @@ -1572,17 +1527,22 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [160 0 R 158 0 R 156 0 R 154 0 R] + /P 146 0 R + /K [154 0 R] >> endobj 154 0 obj << /Type /StructElem - /S /Div + /S /Span /P 153 0 R - /K [155 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 728 0 R >> endobj @@ -1590,13 +1550,13 @@ endobj << /Type /StructElem /S /Span - /P 154 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [12] - /Pg 541 0 R + /K [0] + /Pg 728 0 R >> endobj @@ -1604,128 +1564,123 @@ endobj << /Type /StructElem /S /Div - /P 153 0 R - /K [157 0 R] + /P 33 0 R + /K [163 0 R 161 0 R 159 0 R 157 0 R] >> endobj 157 0 obj << /Type /StructElem - /S /Span + /S /Div /P 156 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [11] - /Pg 541 0 R + /K [158 0 R] >> endobj 158 0 obj << /Type /StructElem - /S /Div - /P 153 0 R - /K [159 0 R] + /S /Span + /P 157 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 726 0 R >> endobj 159 0 obj << /Type /StructElem - /S /Span - /P 158 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10] - /Pg 541 0 R + /S /Div + /P 156 0 R + /K [160 0 R] >> endobj 160 0 obj << /Type /StructElem - /S /Div - /P 153 0 R - /K [161 0 R] + /S /Span + /P 159 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 726 0 R >> endobj 161 0 obj << /Type /StructElem - /S /Span - /P 160 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [9] - /Pg 541 0 R + /S /Div + /P 156 0 R + /K [162 0 R] >> endobj 162 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R + /S /Span + /P 161 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4 5 6 7 8] - /Pg 541 0 R + /K [4] + /Pg 726 0 R >> endobj 163 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3] - /Pg 541 0 R + /S /Div + /P 156 0 R + /K [164 0 R] >> endobj 164 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [171 0 R 169 0 R 167 0 R 165 0 R] + /S /Span + /P 163 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 726 0 R >> endobj 165 0 obj << /Type /StructElem - /S /Div - /P 164 0 R - /K [166 0 R] + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2] + /Pg 726 0 R >> endobj 166 0 obj << /Type /StructElem - /S /Span - /P 165 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [54] - /Pg 539 0 R + /S /Div + /P 33 0 R + /K [173 0 R 171 0 R 169 0 R 167 0 R] >> endobj @@ -1733,7 +1688,7 @@ endobj << /Type /StructElem /S /Div - /P 164 0 R + /P 166 0 R /K [168 0 R] >> endobj @@ -1747,8 +1702,8 @@ endobj /O /Layout /Placement /Block >>] - /K [53] - /Pg 539 0 R + /K [94] + /Pg 724 0 R >> endobj @@ -1756,7 +1711,7 @@ endobj << /Type /StructElem /S /Div - /P 164 0 R + /P 166 0 R /K [170 0 R] >> endobj @@ -1770,8 +1725,8 @@ endobj /O /Layout /Placement /Block >>] - /K [52] - /Pg 539 0 R + /K [93] + /Pg 724 0 R >> endobj @@ -1779,7 +1734,7 @@ endobj << /Type /StructElem /S /Div - /P 164 0 R + /P 166 0 R /K [172 0 R] >> endobj @@ -1793,78 +1748,63 @@ endobj /O /Layout /Placement /Block >>] - /K [51] - /Pg 539 0 R + /K [92] + /Pg 724 0 R >> endobj 173 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [50] - /Pg 539 0 R + /S /Div + /P 166 0 R + /K [174 0 R] >> endobj 174 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R + /S /Span + /P 173 0 R /A [<< /O /Layout /Placement /Block >>] - /K [42 43 44 45 46 47 48 49] - /Pg 539 0 R + /K [91] + /Pg 724 0 R >> endobj 175 0 obj << /Type /StructElem - /S /Span - /P 28 0 R + /S /L + /P 33 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [40 41] - /Pg 539 0 R + /K [182 0 R 176 0 R] >> endobj 176 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [35 36 37 38 39] - /Pg 539 0 R + /S /LI + /P 175 0 R + /K [181 0 R 177 0 R] >> endobj 177 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [32 33 34] - /Pg 539 0 R + /S /LBody + /P 176 0 R + /K [75 180 0 R 80 179 0 R 86 178 0 R 90] + /Pg 724 0 R >> endobj @@ -1872,13 +1812,9 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [29 30 31] - /Pg 539 0 R + /P 177 0 R + /K [87 88 89] + /Pg 724 0 R >> endobj @@ -1886,13 +1822,9 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [26 27 28] - /Pg 539 0 R + /P 177 0 R + /K [81 82 83 84 85] + /Pg 724 0 R >> endobj @@ -1900,55 +1832,38 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [23 24 25] - /Pg 539 0 R + /P 177 0 R + /K [76 77 78 79] + /Pg 724 0 R >> endobj 181 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [20 21 22] - /Pg 539 0 R + /S /Lbl + /P 176 0 R + /K [74] + /Pg 724 0 R >> endobj 182 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [17 18 19] - /Pg 539 0 R + /S /LI + /P 175 0 R + /K [188 0 R 183 0 R] >> endobj 183 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [16] - /Pg 539 0 R + /S /LBody + /P 182 0 R + /K [186 0 R 66 185 0 R 69 184 0 R 73] + /Pg 724 0 R >> endobj @@ -1956,186 +1871,170 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [12 13 14 15] - /Pg 539 0 R + /P 183 0 R + /K [70 71 72] + /Pg 724 0 R >> endobj 185 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11] - /Pg 539 0 R + /S /Formula + /P 183 0 R + /K [67 68] + /Pg 724 0 R >> endobj 186 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [193 0 R 191 0 R 189 0 R 187 0 R] + /S /Formula + /P 183 0 R + /K [187 0 R] >> endobj 187 0 obj << /Type /StructElem - /S /Div + /S /Strong /P 186 0 R - /K [188 0 R] + /K [63 64 65] + /Pg 724 0 R >> endobj 188 0 obj << /Type /StructElem - /S /Span - /P 187 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [99] - /Pg 537 0 R + /S /Lbl + /P 182 0 R + /K [62] + /Pg 724 0 R >> endobj 189 0 obj << /Type /StructElem - /S /Div - /P 186 0 R - /K [190 0 R] + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61] + /Pg 724 0 R >> endobj 190 0 obj << /Type /StructElem - /S /Span - /P 189 0 R + /S /L + /P 33 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [98] - /Pg 537 0 R + /K [191 0 R] >> endobj 191 0 obj << /Type /StructElem - /S /Div - /P 186 0 R - /K [192 0 R] + /S /LI + /P 190 0 R + /K [195 0 R 192 0 R] >> endobj 192 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 191 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [97] - /Pg 537 0 R + /K [4 194 0 R 7 193 0 R 12] + /Pg 724 0 R >> endobj 193 0 obj << /Type /StructElem - /S /Div - /P 186 0 R - /K [194 0 R] + /S /Formula + /P 192 0 R + /K [8 9 10 11] + /Pg 724 0 R >> endobj 194 0 obj << /Type /StructElem - /S /Span - /P 193 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [96] - /Pg 537 0 R + /S /Formula + /P 192 0 R + /K [5 6] + /Pg 724 0 R >> endobj 195 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95] - /Pg 537 0 R + /S /Lbl + /P 191 0 R + /K [3] + /Pg 724 0 R >> endobj 196 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [21 197 0 R] - /Pg 537 0 R + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1 2] + /Pg 724 0 R >> endobj 197 0 obj << /Type /StructElem - /S /Formula - /P 196 0 R - /K [22 23 24 25 26 27 28 29 30] - /Pg 537 0 R + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 724 0 R >> endobj 198 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20] - /Pg 537 0 R + /S /Div + /P 33 0 R + /K [205 0 R 203 0 R 201 0 R 199 0 R] >> endobj 199 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [1] - /Pg 537 0 R + /S /Div + /P 198 0 R + /K [200 0 R] >> endobj @@ -2143,13 +2042,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 199 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 537 0 R + /K [80] + /Pg 722 0 R >> endobj @@ -2157,100 +2056,100 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [208 0 R 206 0 R 204 0 R 202 0 R] + /P 198 0 R + /K [202 0 R] >> endobj 202 0 obj << /Type /StructElem - /S /Div + /S /Span /P 201 0 R - /K [203 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [79] + /Pg 722 0 R >> endobj 203 0 obj << /Type /StructElem - /S /Span - /P 202 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [83] - /Pg 535 0 R + /S /Div + /P 198 0 R + /K [204 0 R] >> endobj 204 0 obj << /Type /StructElem - /S /Div - /P 201 0 R - /K [205 0 R] + /S /Span + /P 203 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [78] + /Pg 722 0 R >> endobj 205 0 obj << /Type /StructElem - /S /Span - /P 204 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [82] - /Pg 535 0 R + /S /Div + /P 198 0 R + /K [206 0 R] >> endobj 206 0 obj << /Type /StructElem - /S /Div - /P 201 0 R - /K [207 0 R] + /S /Span + /P 205 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [77] + /Pg 722 0 R >> endobj 207 0 obj << /Type /StructElem - /S /Span - /P 206 0 R + /S /L + /P 33 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [81] - /Pg 535 0 R + /K [208 0 R] >> endobj 208 0 obj << /Type /StructElem - /S /Div - /P 201 0 R - /K [209 0 R] + /S /LI + /P 207 0 R + /K [211 0 R 209 0 R] >> endobj 209 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 208 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [80] - /Pg 535 0 R + /K [71 210 0 R 76] + /Pg 722 0 R >> endobj @@ -2258,34 +2157,27 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79] - /Pg 535 0 R + /P 209 0 R + /K [72 73 74 75] + /Pg 722 0 R >> endobj 211 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [217 0 R 212 0 R] + /S /Lbl + /P 208 0 R + /K [70] + /Pg 722 0 R >> endobj 212 0 obj << /Type /StructElem - /S /LI - /P 211 0 R + /S /Div + /P 33 0 R /K [216 0 R 213 0 R] >> endobj @@ -2293,67 +2185,74 @@ endobj 213 0 obj << /Type /StructElem - /S /LBody + /S /Div /P 212 0 R - /K [214 0 R] + /K [215 0 R 214 0 R] >> endobj 214 0 obj << /Type /StructElem - /S /P + /S /Formula /P 213 0 R - /K [48 215 0 R 53] - /Pg 535 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69] + /Pg 722 0 R >> endobj 215 0 obj << /Type /StructElem - /S /Formula - /P 214 0 R - /K [49 50 51 52] - /Pg 535 0 R + /S /P + /P 213 0 R + /K [42] + /Pg 722 0 R >> endobj 216 0 obj << /Type /StructElem - /S /Lbl + /S /Div /P 212 0 R - /K [47] - /Pg 535 0 R + /K [] >> endobj 217 0 obj << /Type /StructElem - /S /LI - /P 211 0 R - /K [221 0 R 218 0 R] + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [223 0 R 218 0 R] >> endobj 218 0 obj << /Type /StructElem - /S /LBody + /S /LI /P 217 0 R - /K [219 0 R] + /K [222 0 R 219 0 R] >> endobj 219 0 obj << /Type /StructElem - /S /P + /S /LBody /P 218 0 R - /K [40 220 0 R] - /Pg 535 0 R + /K [33 221 0 R 35 220 0 R 41] + /Pg 722 0 R >> endobj @@ -2362,64 +2261,57 @@ endobj /Type /StructElem /S /Formula /P 219 0 R - /K [41 42 43 44 45 46] - /Pg 535 0 R + /K [36 37 38 39 40] + /Pg 722 0 R >> endobj 221 0 obj << /Type /StructElem - /S /Lbl - /P 217 0 R - /K [39] - /Pg 535 0 R + /S /Formula + /P 219 0 R + /K [34] + /Pg 722 0 R >> endobj 222 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [25 26 27 28 29 30 31 32 33 34 35 36 37 38] - /Pg 535 0 R + /S /Lbl + /P 218 0 R + /K [32] + /Pg 722 0 R >> endobj 223 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [224 0 R] + /S /LI + /P 217 0 R + /K [228 0 R 224 0 R] >> endobj 224 0 obj << /Type /StructElem - /S /LI + /S /LBody /P 223 0 R - /K [227 0 R 225 0 R] + /K [24 227 0 R 26 226 0 R 28 225 0 R 31] + /Pg 722 0 R >> endobj 225 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 224 0 R - /K [22 226 0 R 24] - /Pg 535 0 R + /K [29 30] + /Pg 722 0 R >> endobj @@ -2427,117 +2319,116 @@ endobj << /Type /StructElem /S /Formula - /P 225 0 R - /K [23] - /Pg 535 0 R + /P 224 0 R + /K [27] + /Pg 722 0 R >> endobj 227 0 obj << /Type /StructElem - /S /Lbl + /S /Formula /P 224 0 R - /K [21] - /Pg 535 0 R + /K [25] + /Pg 722 0 R >> endobj 228 0 obj << /Type /StructElem - /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [11 12 13 14 15 16 17 18 19 20] - /Pg 535 0 R + /S /Lbl + /P 223 0 R + /K [23] + /Pg 722 0 R >> endobj 229 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [230 0 R] + /S /Div + /P 33 0 R + /K [232 0 R 230 0 R] >> endobj 230 0 obj << /Type /StructElem - /S /LI + /S /Div /P 229 0 R - /K [233 0 R 231 0 R] + /K [231 0 R] >> endobj 231 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 230 0 R - /K [8 232 0 R 10] - /Pg 535 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22] + /Pg 722 0 R >> endobj 232 0 obj << /Type /StructElem - /S /Formula - /P 231 0 R - /K [9] - /Pg 535 0 R + /S /Div + /P 229 0 R + /K [233 0 R] >> endobj 233 0 obj << /Type /StructElem - /S /Lbl - /P 230 0 R - /K [7] - /Pg 535 0 R + /S /Formula + /P 232 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1 2] + /Pg 722 0 R >> endobj 234 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [237 0 R 235 0 R] + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 722 0 R >> endobj 235 0 obj << /Type /StructElem - /S /Formula - /P 234 0 R - /K [236 0 R] + /S /Div + /P 33 0 R + /K [242 0 R 240 0 R 238 0 R 236 0 R] >> endobj 236 0 obj << /Type /StructElem - /S /Span + /S /Div /P 235 0 R - /A [<< - /O /Layout - /TextDecorationType /Underline - >>] - /K [2 3 4 5 6] - /Pg 535 0 R + /K [237 0 R] >> endobj @@ -2545,36 +2436,36 @@ endobj << /Type /StructElem /S /Span - /P 234 0 R + /P 236 0 R /A [<< /O /Layout - /TextDecorationType /Underline + /Placement /Block >>] - /K [1] - /Pg 535 0 R + /K [50] + /Pg 720 0 R >> endobj 238 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 535 0 R + /S /Div + /P 235 0 R + /K [239 0 R] >> endobj 239 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [246 0 R 244 0 R 242 0 R 240 0 R] + /S /Span + /P 238 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [49] + /Pg 720 0 R >> endobj @@ -2582,7 +2473,7 @@ endobj << /Type /StructElem /S /Div - /P 239 0 R + /P 235 0 R /K [241 0 R] >> endobj @@ -2596,8 +2487,8 @@ endobj /O /Layout /Placement /Block >>] - /K [91] - /Pg 533 0 R + /K [48] + /Pg 720 0 R >> endobj @@ -2605,7 +2496,7 @@ endobj << /Type /StructElem /S /Div - /P 239 0 R + /P 235 0 R /K [243 0 R] >> endobj @@ -2619,66 +2510,67 @@ endobj /O /Layout /Placement /Block >>] - /K [90] - /Pg 533 0 R + /K [47] + /Pg 720 0 R >> endobj 244 0 obj << /Type /StructElem - /S /Div - /P 239 0 R - /K [245 0 R] + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [43 44 45 46] + /Pg 720 0 R >> endobj 245 0 obj << /Type /StructElem - /S /Span - /P 244 0 R + /S /Formula + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [89] - /Pg 533 0 R + /K [39 40 41 42] + /Pg 720 0 R >> endobj 246 0 obj << /Type /StructElem - /S /Div - /P 239 0 R - /K [247 0 R] + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [37 38] + /Pg 720 0 R >> endobj 247 0 obj << /Type /StructElem - /S /Span - /P 246 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [88] - /Pg 533 0 R + /S /Div + /P 33 0 R + /K [255 0 R 248 0 R] >> endobj 248 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] + /S /Div + /P 247 0 R /K [253 0 R 249 0 R] >> endobj @@ -2686,19 +2578,20 @@ endobj 249 0 obj << /Type /StructElem - /S /LI + /S /P /P 248 0 R - /K [252 0 R 250 0 R] + /K [252 0 R 14 251 0 R 27 250 0 R] + /Pg 720 0 R >> endobj 250 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 249 0 R - /K [86 251 0 R] - /Pg 533 0 R + /K [28 29 30 31 32 33 34 35 36] + /Pg 720 0 R >> endobj @@ -2706,58 +2599,62 @@ endobj << /Type /StructElem /S /Formula - /P 250 0 R - /K [87] - /Pg 533 0 R + /P 249 0 R + /K [15 16 17 18 19 20 21 22 23 24 25 26] + /Pg 720 0 R >> endobj 252 0 obj << /Type /StructElem - /S /Lbl + /S /Formula /P 249 0 R - /K [85] - /Pg 533 0 R + /K [7 8 9 10 11 12 13] + /Pg 720 0 R >> endobj 253 0 obj << /Type /StructElem - /S /LI + /S /P /P 248 0 R - /K [256 0 R 254 0 R] + /K [1 254 0 R] + /Pg 720 0 R >> endobj 254 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 253 0 R - /K [77 255 0 R 84] - /Pg 533 0 R + /K [2 3 4 5 6] + /Pg 720 0 R >> endobj 255 0 obj << /Type /StructElem - /S /Formula - /P 254 0 R - /K [78 79 80 81 82 83] - /Pg 533 0 R + /S /Div + /P 247 0 R + /K [] >> endobj 256 0 obj << /Type /StructElem - /S /Lbl - /P 253 0 R - /K [76] - /Pg 533 0 R + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 720 0 R >> endobj @@ -2765,8 +2662,8 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [263 0 R 258 0 R] + /P 33 0 R + /K [264 0 R 262 0 R 260 0 R 258 0 R] >> endobj @@ -2775,100 +2672,108 @@ endobj /Type /StructElem /S /Div /P 257 0 R - /K [262 0 R 260 0 R 259 0 R] + /K [259 0 R] >> endobj 259 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 258 0 R /A [<< /O /Layout /Placement /Block >>] - /K [57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75] - /Pg 533 0 R + /K [45] + /Pg 718 0 R >> endobj 260 0 obj << /Type /StructElem - /S /P - /P 258 0 R - /K [42 261 0 R] - /Pg 533 0 R + /S /Div + /P 257 0 R + /K [261 0 R] >> endobj 261 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 260 0 R - /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56] - /Pg 533 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [44] + /Pg 718 0 R >> endobj 262 0 obj << /Type /StructElem - /S /P - /P 258 0 R - /K [41] - /Pg 533 0 R + /S /Div + /P 257 0 R + /K [263 0 R] >> endobj 263 0 obj << /Type /StructElem - /S /Div - /P 257 0 R - /K [] + /S /Span + /P 262 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [43] + /Pg 718 0 R >> endobj 264 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [270 0 R 265 0 R] + /S /Div + /P 257 0 R + /K [265 0 R] >> endobj 265 0 obj << /Type /StructElem - /S /LI + /S /Span /P 264 0 R - /K [269 0 R 266 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42] + /Pg 718 0 R >> endobj 266 0 obj << /Type /StructElem - /S /LBody - /P 265 0 R - /K [267 0 R] + /S /Div + /P 33 0 R + /K [270 0 R 267 0 R] >> endobj 267 0 obj << /Type /StructElem - /S /P + /S /Div /P 266 0 R - /K [268 0 R] + /K [269 0 R 268 0 R] >> endobj @@ -2877,146 +2782,145 @@ endobj /Type /StructElem /S /Formula /P 267 0 R - /K [35 36 37 38 39 40] - /Pg 533 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [28 29 30 31 32 33 34 35 36 37 38 39 40 41] + /Pg 718 0 R >> endobj 269 0 obj << /Type /StructElem - /S /Lbl - /P 265 0 R - /K [34] - /Pg 533 0 R + /S /P + /P 267 0 R + /K [27] + /Pg 718 0 R >> endobj 270 0 obj << /Type /StructElem - /S /LI - /P 264 0 R - /K [274 0 R 271 0 R] + /S /Div + /P 266 0 R + /K [] >> endobj 271 0 obj << /Type /StructElem - /S /LBody - /P 270 0 R - /K [272 0 R] + /S /Div + /P 33 0 R + /K [277 0 R 272 0 R] >> endobj 272 0 obj << /Type /StructElem - /S /P + /S /Div /P 271 0 R - /K [273 0 R] + /K [276 0 R 273 0 R] >> endobj 273 0 obj << /Type /StructElem - /S /Formula + /S /P /P 272 0 R - /K [13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33] - /Pg 533 0 R + /K [275 0 R 22 274 0 R] + /Pg 718 0 R >> endobj 274 0 obj << /Type /StructElem - /S /Lbl - /P 270 0 R - /K [12] - /Pg 533 0 R + /S /Formula + /P 273 0 R + /K [23 24 25 26] + /Pg 718 0 R >> endobj 275 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [279 0 R 276 0 R] + /S /Formula + /P 273 0 R + /K [16 17 18 19 20 21] + /Pg 718 0 R >> endobj 276 0 obj << /Type /StructElem - /S /Div - /P 275 0 R - /K [278 0 R 277 0 R] + /S /P + /P 272 0 R + /K [15] + /Pg 718 0 R >> endobj 277 0 obj << /Type /StructElem - /S /Formula - /P 276 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2 3 4 5 6 7 8 9 10 11] - /Pg 533 0 R + /S /Div + /P 271 0 R + /K [] >> endobj 278 0 obj << /Type /StructElem - /S /P - /P 276 0 R - /K [1] - /Pg 533 0 R + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [286 0 R 279 0 R] >> endobj 279 0 obj << /Type /StructElem - /S /Div - /P 275 0 R - /K [] + /S /LI + /P 278 0 R + /K [285 0 R 280 0 R] >> endobj 280 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 533 0 R + /S /LBody + /P 279 0 R + /K [281 0 R] >> endobj 281 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [288 0 R 286 0 R 284 0 R 282 0 R] + /S /P + /P 280 0 R + /K [284 0 R 282 0 R] >> endobj 282 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 281 0 R /K [283 0 R] >> @@ -3025,162 +2929,144 @@ endobj 283 0 obj << /Type /StructElem - /S /Span + /S /Strong /P 282 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [82] - /Pg 531 0 R + /K [13 14] + /Pg 718 0 R >> endobj 284 0 obj << /Type /StructElem - /S /Div + /S /Strong /P 281 0 R - /K [285 0 R] + /K [12] + /Pg 718 0 R >> endobj 285 0 obj << /Type /StructElem - /S /Span - /P 284 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [81] - /Pg 531 0 R + /S /Lbl + /P 279 0 R + /K [11] + /Pg 718 0 R >> endobj 286 0 obj << /Type /StructElem - /S /Div - /P 281 0 R - /K [287 0 R] + /S /LI + /P 278 0 R + /K [292 0 R 287 0 R] >> endobj 287 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 286 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [80] - /Pg 531 0 R + /K [288 0 R] >> endobj 288 0 obj << /Type /StructElem - /S /Div - /P 281 0 R - /K [289 0 R] + /S /P + /P 287 0 R + /K [291 0 R 289 0 R] >> endobj 289 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 288 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [79] - /Pg 531 0 R + /K [290 0 R] >> endobj 290 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [296 0 R 291 0 R] + /S /Strong + /P 289 0 R + /K [9 10] + /Pg 718 0 R >> endobj 291 0 obj << /Type /StructElem - /S /LI - /P 290 0 R - /K [295 0 R 292 0 R] + /S /Strong + /P 288 0 R + /K [8] + /Pg 718 0 R >> endobj 292 0 obj << /Type /StructElem - /S /LBody - /P 291 0 R - /K [293 0 R] + /S /Lbl + /P 286 0 R + /K [7] + /Pg 718 0 R >> endobj 293 0 obj << /Type /StructElem - /S /P - /P 292 0 R - /K [294 0 R 78] - /Pg 531 0 R + /S /Div + /P 33 0 R + /K [299 0 R 294 0 R] >> endobj 294 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 293 0 R - /K [64 65 66 67 68 69 70 71 72 73 74 75 76 77] - /Pg 531 0 R + /K [298 0 R 295 0 R] >> endobj 295 0 obj << /Type /StructElem - /S /Lbl - /P 291 0 R - /K [63] - /Pg 531 0 R + /S /P + /P 294 0 R + /K [2 297 0 R 4 296 0 R 6] + /Pg 718 0 R >> endobj 296 0 obj << /Type /StructElem - /S /LI - /P 290 0 R - /K [300 0 R 297 0 R] + /S /Strong + /P 295 0 R + /K [5] + /Pg 718 0 R >> endobj 297 0 obj << /Type /StructElem - /S /LBody - /P 296 0 R - /K [298 0 R] + /S /Formula + /P 295 0 R + /K [3] + /Pg 718 0 R >> endobj @@ -3188,29 +3074,32 @@ endobj << /Type /StructElem /S /P - /P 297 0 R - /K [45 299 0 R] - /Pg 531 0 R + /P 294 0 R + /K [1] + /Pg 718 0 R >> endobj 299 0 obj << /Type /StructElem - /S /Formula - /P 298 0 R - /K [46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62] - /Pg 531 0 R + /S /Div + /P 293 0 R + /K [] >> endobj 300 0 obj << /Type /StructElem - /S /Lbl - /P 296 0 R - /K [44] - /Pg 531 0 R + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 718 0 R >> endobj @@ -3218,8 +3107,8 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [305 0 R 302 0 R] + /P 33 0 R + /K [308 0 R 306 0 R 304 0 R 302 0 R] >> endobj @@ -3228,40 +3117,44 @@ endobj /Type /StructElem /S /Div /P 301 0 R - /K [304 0 R 303 0 R] + /K [303 0 R] >> endobj 303 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 302 0 R /A [<< /O /Layout /Placement /Block >>] - /K [37 38 39 40 41 42 43] - /Pg 531 0 R + /K [64] + /Pg 716 0 R >> endobj 304 0 obj << /Type /StructElem - /S /P - /P 302 0 R - /K [36] - /Pg 531 0 R + /S /Div + /P 301 0 R + /K [305 0 R] >> endobj 305 0 obj << /Type /StructElem - /S /Div - /P 301 0 R - /K [] + /S /Span + /P 304 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [63] + /Pg 716 0 R >> endobj @@ -3269,161 +3162,165 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [313 0 R 307 0 R] + /P 301 0 R + /K [307 0 R] >> endobj 307 0 obj << /Type /StructElem - /S /Div + /S /Span /P 306 0 R - /K [312 0 R 309 0 R 308 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [62] + /Pg 716 0 R >> endobj 308 0 obj << /Type /StructElem - /S /Formula - /P 307 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [26 27 28 29 30 31 32 33 34 35] - /Pg 531 0 R + /S /Div + /P 301 0 R + /K [309 0 R] >> endobj 309 0 obj << /Type /StructElem - /S /P - /P 307 0 R - /K [15 311 0 R 21 310 0 R 25] - /Pg 531 0 R + /S /Span + /P 308 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [61] + /Pg 716 0 R >> endobj 310 0 obj << /Type /StructElem - /S /Formula - /P 309 0 R - /K [22 23 24] - /Pg 531 0 R + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [311 0 R] >> endobj 311 0 obj << /Type /StructElem - /S /Formula - /P 309 0 R - /K [16 17 18 19 20] - /Pg 531 0 R + /S /LI + /P 310 0 R + /K [315 0 R 312 0 R] >> endobj 312 0 obj << /Type /StructElem - /S /P - /P 307 0 R - /K [14] - /Pg 531 0 R + /S /LBody + /P 311 0 R + /K [44 314 0 R 50 313 0 R 60] + /Pg 716 0 R >> endobj 313 0 obj << /Type /StructElem - /S /Div - /P 306 0 R - /K [] + /S /Formula + /P 312 0 R + /K [51 52 53 54 55 56 57 58 59] + /Pg 716 0 R >> endobj 314 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [320 0 R 315 0 R] + /S /Formula + /P 312 0 R + /K [45 46 47 48 49] + /Pg 716 0 R >> endobj 315 0 obj << /Type /StructElem - /S /Div - /P 314 0 R - /K [319 0 R 316 0 R] + /S /Lbl + /P 311 0 R + /K [43] + /Pg 716 0 R >> endobj 316 0 obj << /Type /StructElem - /S /P - /P 315 0 R - /K [318 0 R 12 317 0 R] - /Pg 531 0 R + /S /Div + /P 33 0 R + /K [322 0 R 317 0 R] >> endobj 317 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 316 0 R - /K [13] - /Pg 531 0 R + /K [321 0 R 318 0 R] >> endobj 318 0 obj << /Type /StructElem - /S /Formula - /P 316 0 R - /K [2 3 4 5 6 7 8 9 10 11] - /Pg 531 0 R + /S /P + /P 317 0 R + /K [35 320 0 R 37 319 0 R] + /Pg 716 0 R >> endobj 319 0 obj << /Type /StructElem - /S /P - /P 315 0 R - /K [1] - /Pg 531 0 R + /S /Formula + /P 318 0 R + /K [38 39 40 41 42] + /Pg 716 0 R >> endobj 320 0 obj << /Type /StructElem - /S /Div - /P 314 0 R - /K [] + /S /Formula + /P 318 0 R + /K [36] + /Pg 716 0 R >> endobj 321 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 531 0 R + /S /P + /P 317 0 R + /K [34] + /Pg 716 0 R >> endobj @@ -3431,16 +3328,20 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [329 0 R 327 0 R 325 0 R 323 0 R] + /P 316 0 R + /K [] >> endobj 323 0 obj << /Type /StructElem - /S /Div - /P 322 0 R + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] /K [324 0 R] >> endobj @@ -3448,60 +3349,49 @@ endobj 324 0 obj << /Type /StructElem - /S /Span + /S /LI /P 323 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [73] - /Pg 529 0 R + /K [328 0 R 325 0 R] >> endobj 325 0 obj << /Type /StructElem - /S /Div - /P 322 0 R - /K [326 0 R] + /S /LBody + /P 324 0 R + /K [25 327 0 R 27 326 0 R 33] + /Pg 716 0 R >> endobj 326 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 325 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [72] - /Pg 529 0 R + /K [28 29 30 31 32] + /Pg 716 0 R >> endobj 327 0 obj << /Type /StructElem - /S /Div - /P 322 0 R - /K [328 0 R] + /S /Formula + /P 325 0 R + /K [26] + /Pg 716 0 R >> endobj 328 0 obj << /Type /StructElem - /S /Span - /P 327 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [71] - /Pg 529 0 R + /S /Lbl + /P 324 0 R + /K [24] + /Pg 716 0 R >> endobj @@ -3509,22 +3399,17 @@ endobj << /Type /StructElem /S /Div - /P 322 0 R - /K [330 0 R] + /P 33 0 R + /K [336 0 R 330 0 R] >> endobj 330 0 obj << /Type /StructElem - /S /Span + /S /Div /P 329 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [70] - /Pg 529 0 R + /K [335 0 R 332 0 R 331 0 R] >> endobj @@ -3532,41 +3417,33 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R + /P 330 0 R /A [<< /O /Layout /Placement /Block >>] - /K [67 68 69] - /Pg 529 0 R + /K [9 10 11 12 13 14 15 16 17 18 19 20 21 22 23] + /Pg 716 0 R >> endobj 332 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [59 60 61 62 63 64 65 66] - /Pg 529 0 R + /S /P + /P 330 0 R + /K [2 334 0 R 6 333 0 R 8] + /Pg 716 0 R >> endobj 333 0 obj << /Type /StructElem - /S /Strong - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [58] - /Pg 529 0 R + /S /Formula + /P 332 0 R + /K [7] + /Pg 716 0 R >> endobj @@ -3574,27 +3451,19 @@ endobj << /Type /StructElem /S /Formula - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [55 56 57] - /Pg 529 0 R + /P 332 0 R + /K [3 4 5] + /Pg 716 0 R >> endobj 335 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [51 52 53 54] - /Pg 529 0 R + /S /P + /P 330 0 R + /K [1] + /Pg 716 0 R >> endobj @@ -3602,46 +3471,54 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [341 0 R 337 0 R] + /P 329 0 R + /K [] >> endobj 337 0 obj << /Type /StructElem - /S /Div - /P 336 0 R - /K [340 0 R 338 0 R] + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 716 0 R >> endobj 338 0 obj << /Type /StructElem - /S /P - /P 337 0 R - /K [339 0 R] + /S /Div + /P 33 0 R + /K [345 0 R 343 0 R 341 0 R 339 0 R] >> endobj 339 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 338 0 R - /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] - /Pg 529 0 R + /K [340 0 R] >> endobj 340 0 obj << /Type /StructElem - /S /P - /P 337 0 R - /K [30] - /Pg 529 0 R + /S /Span + /P 339 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [54] + /Pg 714 0 R >> endobj @@ -3649,118 +3526,152 @@ endobj << /Type /StructElem /S /Div - /P 336 0 R - /K [] + /P 338 0 R + /K [342 0 R] >> endobj 342 0 obj << /Type /StructElem - /S /L - /P 28 0 R + /S /Span + /P 341 0 R /A [<< - /O /List - /ListNumbering /Circle + /O /Layout + /Placement /Block >>] - /K [351 0 R 347 0 R 343 0 R] + /K [53] + /Pg 714 0 R >> endobj 343 0 obj << /Type /StructElem - /S /LI - /P 342 0 R - /K [346 0 R 344 0 R] + /S /Div + /P 338 0 R + /K [344 0 R] >> endobj 344 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 343 0 R - /K [345 0 R 29] - /Pg 529 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [52] + /Pg 714 0 R >> endobj 345 0 obj << /Type /StructElem - /S /Formula - /P 344 0 R - /K [24 25 26 27 28] - /Pg 529 0 R + /S /Div + /P 338 0 R + /K [346 0 R] >> endobj 346 0 obj << /Type /StructElem - /S /Lbl - /P 343 0 R - /K [23] - /Pg 529 0 R + /S /Span + /P 345 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [51] + /Pg 714 0 R >> endobj 347 0 obj << /Type /StructElem - /S /LI - /P 342 0 R - /K [350 0 R 348 0 R] + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [50] + /Pg 714 0 R >> endobj 348 0 obj << /Type /StructElem - /S /LBody - /P 347 0 R - /K [349 0 R 22] - /Pg 529 0 R + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42 43 44 45 46 47 48 49] + /Pg 714 0 R >> endobj 349 0 obj << /Type /StructElem - /S /Formula - /P 348 0 R - /K [21] - /Pg 529 0 R + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [40 41] + /Pg 714 0 R >> endobj 350 0 obj << /Type /StructElem - /S /Lbl - /P 347 0 R - /K [20] - /Pg 529 0 R + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [35 36 37 38 39] + /Pg 714 0 R >> endobj 351 0 obj << /Type /StructElem - /S /LI - /P 342 0 R - /K [354 0 R 352 0 R] + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [32 33 34] + /Pg 714 0 R >> endobj 352 0 obj << /Type /StructElem - /S /LBody - /P 351 0 R - /K [353 0 R 19] - /Pg 529 0 R + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [29 30 31] + /Pg 714 0 R >> endobj @@ -3768,47 +3679,69 @@ endobj << /Type /StructElem /S /Formula - /P 352 0 R - /K [18] - /Pg 529 0 R + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [26 27 28] + /Pg 714 0 R >> endobj 354 0 obj << /Type /StructElem - /S /Lbl - /P 351 0 R - /K [17] - /Pg 529 0 R + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [23 24 25] + /Pg 714 0 R >> endobj 355 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [363 0 R 356 0 R] + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [20 21 22] + /Pg 714 0 R >> endobj 356 0 obj << /Type /StructElem - /S /Div - /P 355 0 R - /K [361 0 R 357 0 R] + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [17 18 19] + /Pg 714 0 R >> endobj 357 0 obj << /Type /StructElem - /S /P - /P 356 0 R - /K [360 0 R 11 359 0 R 13 358 0 R] - /Pg 529 0 R + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [16] + /Pg 714 0 R >> endobj @@ -3816,49 +3749,59 @@ endobj << /Type /StructElem /S /Formula - /P 357 0 R - /K [14 15 16] - /Pg 529 0 R + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [12 13 14 15] + /Pg 714 0 R >> endobj 359 0 obj << /Type /StructElem - /S /Formula - /P 357 0 R - /K [12] - /Pg 529 0 R + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11] + /Pg 714 0 R >> endobj 360 0 obj << /Type /StructElem - /S /Formula - /P 357 0 R - /K [10] - /Pg 529 0 R + /S /Div + /P 33 0 R + /K [367 0 R 365 0 R 363 0 R 361 0 R] >> endobj 361 0 obj << /Type /StructElem - /S /P - /P 356 0 R - /K [1 362 0 R] - /Pg 529 0 R + /S /Div + /P 360 0 R + /K [362 0 R] >> endobj 362 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 361 0 R - /K [2 3 4 5 6 7 8 9] - /Pg 529 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [99] + /Pg 712 0 R >> endobj @@ -3866,8 +3809,8 @@ endobj << /Type /StructElem /S /Div - /P 355 0 R - /K [] + /P 360 0 R + /K [364 0 R] >> endobj @@ -3875,13 +3818,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 363 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 529 0 R + /K [98] + /Pg 712 0 R >> endobj @@ -3889,109 +3832,117 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R - /K [372 0 R 370 0 R 368 0 R 366 0 R] + /P 360 0 R + /K [366 0 R] >> endobj 366 0 obj << /Type /StructElem - /S /Div + /S /Span /P 365 0 R - /K [367 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [97] + /Pg 712 0 R >> endobj 367 0 obj << /Type /StructElem - /S /Span - /P 366 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [54] - /Pg 527 0 R + /S /Div + /P 360 0 R + /K [368 0 R] >> endobj 368 0 obj << /Type /StructElem - /S /Div - /P 365 0 R - /K [369 0 R] + /S /Span + /P 367 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [96] + /Pg 712 0 R >> endobj 369 0 obj << /Type /StructElem - /S /Span - /P 368 0 R + /S /Formula + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [53] - /Pg 527 0 R + /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95] + /Pg 712 0 R >> endobj 370 0 obj << /Type /StructElem - /S /Div - /P 365 0 R - /K [371 0 R] + /S /P + /P 33 0 R + /K [21 371 0 R] + /Pg 712 0 R >> endobj 371 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 370 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [52] - /Pg 527 0 R + /K [22 23 24 25 26 27 28 29 30] + /Pg 712 0 R >> endobj 372 0 obj << /Type /StructElem - /S /Div - /P 365 0 R - /K [373 0 R] + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20] + /Pg 712 0 R >> endobj 373 0 obj << /Type /StructElem - /S /Span - /P 372 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [51] - /Pg 527 0 R + /S /P + /P 33 0 R + /K [1] + /Pg 712 0 R >> endobj 374 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [379 0 R 375 0 R] + /S /Span + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 712 0 R >> endobj @@ -3999,15 +3950,15 @@ endobj << /Type /StructElem /S /Div - /P 374 0 R - /K [378 0 R 376 0 R] + /P 33 0 R + /K [382 0 R 380 0 R 378 0 R 376 0 R] >> endobj 376 0 obj << /Type /StructElem - /S /P + /S /Div /P 375 0 R /K [377 0 R] >> @@ -4016,187 +3967,206 @@ endobj 377 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 376 0 R - /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] - /Pg 527 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [83] + /Pg 710 0 R >> endobj 378 0 obj << /Type /StructElem - /S /P + /S /Div /P 375 0 R - /K [30] - /Pg 527 0 R + /K [379 0 R] >> endobj 379 0 obj << /Type /StructElem - /S /Div - /P 374 0 R - /K [] + /S /Span + /P 378 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [82] + /Pg 710 0 R >> endobj 380 0 obj << /Type /StructElem - /S /L - /P 28 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [389 0 R 385 0 R 381 0 R] + /S /Div + /P 375 0 R + /K [381 0 R] >> endobj 381 0 obj << /Type /StructElem - /S /LI + /S /Span /P 380 0 R - /K [384 0 R 382 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [81] + /Pg 710 0 R >> endobj 382 0 obj << /Type /StructElem - /S /LBody - /P 381 0 R - /K [383 0 R 29] - /Pg 527 0 R + /S /Div + /P 375 0 R + /K [383 0 R] >> endobj 383 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 382 0 R - /K [24 25 26 27 28] - /Pg 527 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [80] + /Pg 710 0 R >> endobj 384 0 obj << /Type /StructElem - /S /Lbl - /P 381 0 R - /K [23] - /Pg 527 0 R + /S /Formula + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79] + /Pg 710 0 R >> endobj 385 0 obj << /Type /StructElem - /S /LI - /P 380 0 R - /K [388 0 R 386 0 R] + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [391 0 R 386 0 R] >> endobj 386 0 obj << /Type /StructElem - /S /LBody + /S /LI /P 385 0 R - /K [387 0 R 22] - /Pg 527 0 R + /K [390 0 R 387 0 R] >> endobj 387 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 386 0 R - /K [21] - /Pg 527 0 R + /K [388 0 R] >> endobj 388 0 obj << /Type /StructElem - /S /Lbl - /P 385 0 R - /K [20] - /Pg 527 0 R + /S /P + /P 387 0 R + /K [48 389 0 R 53] + /Pg 710 0 R >> endobj 389 0 obj << /Type /StructElem - /S /LI - /P 380 0 R - /K [392 0 R 390 0 R] + /S /Formula + /P 388 0 R + /K [49 50 51 52] + /Pg 710 0 R >> endobj 390 0 obj << /Type /StructElem - /S /LBody - /P 389 0 R - /K [391 0 R 19] - /Pg 527 0 R + /S /Lbl + /P 386 0 R + /K [47] + /Pg 710 0 R >> endobj 391 0 obj << /Type /StructElem - /S /Formula - /P 390 0 R - /K [18] - /Pg 527 0 R + /S /LI + /P 385 0 R + /K [395 0 R 392 0 R] >> endobj 392 0 obj << /Type /StructElem - /S /Lbl - /P 389 0 R - /K [17] - /Pg 527 0 R + /S /LBody + /P 391 0 R + /K [393 0 R] >> endobj 393 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [401 0 R 394 0 R] + /S /P + /P 392 0 R + /K [40 394 0 R] + /Pg 710 0 R >> endobj 394 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 393 0 R - /K [399 0 R 395 0 R] + /K [41 42 43 44 45 46] + /Pg 710 0 R >> endobj 395 0 obj << /Type /StructElem - /S /P - /P 394 0 R - /K [398 0 R 11 397 0 R 13 396 0 R] - /Pg 527 0 R + /S /Lbl + /P 391 0 R + /K [39] + /Pg 710 0 R >> endobj @@ -4204,39 +4174,45 @@ endobj << /Type /StructElem /S /Formula - /P 395 0 R - /K [14 15 16] - /Pg 527 0 R + /P 33 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [25 26 27 28 29 30 31 32 33 34 35 36 37 38] + /Pg 710 0 R >> endobj 397 0 obj << /Type /StructElem - /S /Formula - /P 395 0 R - /K [12] - /Pg 527 0 R + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [398 0 R] >> endobj 398 0 obj << /Type /StructElem - /S /Formula - /P 395 0 R - /K [10] - /Pg 527 0 R + /S /LI + /P 397 0 R + /K [401 0 R 399 0 R] >> endobj 399 0 obj << /Type /StructElem - /S /P - /P 394 0 R - /K [1 400 0 R] - /Pg 527 0 R + /S /LBody + /P 398 0 R + /K [22 400 0 R 24] + /Pg 710 0 R >> endobj @@ -4245,118 +4221,116 @@ endobj /Type /StructElem /S /Formula /P 399 0 R - /K [2 3 4 5 6 7 8 9] - /Pg 527 0 R + /K [23] + /Pg 710 0 R >> endobj 401 0 obj << /Type /StructElem - /S /Div - /P 393 0 R - /K [] + /S /Lbl + /P 398 0 R + /K [21] + /Pg 710 0 R >> endobj 402 0 obj << /Type /StructElem - /S /Span - /P 28 0 R + /S /Formula + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 527 0 R + /K [11 12 13 14 15 16 17 18 19 20] + /Pg 710 0 R >> endobj 403 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [410 0 R 408 0 R 406 0 R 404 0 R] + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [404 0 R] >> endobj 404 0 obj << /Type /StructElem - /S /Div + /S /LI /P 403 0 R - /K [405 0 R] + /K [407 0 R 405 0 R] >> endobj 405 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 404 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 525 0 R + /K [8 406 0 R 10] + /Pg 710 0 R >> endobj 406 0 obj << /Type /StructElem - /S /Div - /P 403 0 R - /K [407 0 R] + /S /Formula + /P 405 0 R + /K [9] + /Pg 710 0 R >> endobj 407 0 obj << /Type /StructElem - /S /Span - /P 406 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 525 0 R + /S /Lbl + /P 404 0 R + /K [7] + /Pg 710 0 R >> endobj 408 0 obj << /Type /StructElem - /S /Div - /P 403 0 R - /K [409 0 R] + /S /P + /P 33 0 R + /K [411 0 R 409 0 R] >> endobj 409 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 408 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 525 0 R + /K [410 0 R] >> endobj 410 0 obj << /Type /StructElem - /S /Div - /P 403 0 R - /K [411 0 R] + /S /Span + /P 409 0 R + /A [<< + /O /Layout + /TextDecorationType /Underline + >>] + /K [2 3 4 5 6] + /Pg 710 0 R >> endobj @@ -4364,13 +4338,13 @@ endobj << /Type /StructElem /S /Span - /P 410 0 R + /P 408 0 R /A [<< /O /Layout - /Placement /Block + /TextDecorationType /Underline >>] - /K [3] - /Pg 525 0 R + /K [1] + /Pg 710 0 R >> endobj @@ -4378,13 +4352,13 @@ endobj << /Type /StructElem /S /Span - /P 28 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1 2] - /Pg 525 0 R + /K [0] + /Pg 710 0 R >> endobj @@ -4392,7 +4366,7 @@ endobj << /Type /StructElem /S /Div - /P 28 0 R + /P 33 0 R /K [420 0 R 418 0 R 416 0 R 414 0 R] >> endobj @@ -4415,8 +4389,8 @@ endobj /O /Layout /Placement /Block >>] - /K [10] - /Pg 523 0 R + /K [91] + /Pg 708 0 R >> endobj @@ -4438,8 +4412,8 @@ endobj /O /Layout /Placement /Block >>] - /K [9] - /Pg 523 0 R + /K [90] + /Pg 708 0 R >> endobj @@ -4461,8 +4435,8 @@ endobj /O /Layout /Placement /Block >>] - /K [8] - /Pg 523 0 R + /K [89] + /Pg 708 0 R >> endobj @@ -4484,170 +4458,161 @@ endobj /O /Layout /Placement /Block >>] - /K [7] - /Pg 523 0 R + /K [88] + /Pg 708 0 R >> endobj 422 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [429 0 R 423 0 R] + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [427 0 R 423 0 R] >> endobj 423 0 obj << /Type /StructElem - /S /Div + /S /LI /P 422 0 R - /K [425 0 R 424 0 R] + /K [426 0 R 424 0 R] >> endobj 424 0 obj << /Type /StructElem - /S /P + /S /LBody /P 423 0 R - /K [6] - /Pg 523 0 R + /K [86 425 0 R] + /Pg 708 0 R >> endobj 425 0 obj << /Type /StructElem - /S /P - /P 423 0 R - /K [428 0 R 426 0 R] + /S /Formula + /P 424 0 R + /K [87] + /Pg 708 0 R >> endobj 426 0 obj << /Type /StructElem - /S /Link - /P 425 0 R - /K [427 0 R << - /Type /OBJR - /Pg 523 0 R - /Obj 522 0 R - >>] + /S /Lbl + /P 423 0 R + /K [85] + /Pg 708 0 R >> endobj 427 0 obj << /Type /StructElem - /S /Strong - /P 426 0 R - /K [5] - /Pg 523 0 R + /S /LI + /P 422 0 R + /K [430 0 R 428 0 R] >> endobj 428 0 obj << /Type /StructElem - /S /Figure - /P 425 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 523 0 R + /S /LBody + /P 427 0 R + /K [77 429 0 R 84] + /Pg 708 0 R >> endobj 429 0 obj << /Type /StructElem - /S /Div - /P 422 0 R - /K [431 0 R 430 0 R] + /S /Formula + /P 428 0 R + /K [78 79 80 81 82 83] + /Pg 708 0 R >> endobj 430 0 obj << /Type /StructElem - /S /P - /P 429 0 R - /K [3] - /Pg 523 0 R + /S /Lbl + /P 427 0 R + /K [76] + /Pg 708 0 R >> endobj 431 0 obj << /Type /StructElem - /S /P - /P 429 0 R - /K [434 0 R 432 0 R] + /S /Div + /P 33 0 R + /K [437 0 R 432 0 R] >> endobj 432 0 obj << /Type /StructElem - /S /Link + /S /Div /P 431 0 R - /K [433 0 R << - /Type /OBJR - /Pg 523 0 R - /Obj 521 0 R - >>] + /K [436 0 R 434 0 R 433 0 R] >> endobj 433 0 obj << /Type /StructElem - /S /Strong + /S /Formula /P 432 0 R - /K [2] - /Pg 523 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75] + /Pg 708 0 R >> endobj 434 0 obj << /Type /StructElem - /S /Figure - /P 431 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 523 0 R + /S /P + /P 432 0 R + /K [42 435 0 R] + /Pg 708 0 R >> endobj 435 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 523 0 R + /S /Formula + /P 434 0 R + /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56] + /Pg 708 0 R >> endobj 436 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [443 0 R 441 0 R 439 0 R 437 0 R] + /S /P + /P 432 0 R + /K [41] + /Pg 708 0 R >> endobj @@ -4655,53 +4620,47 @@ endobj << /Type /StructElem /S /Div - /P 436 0 R - /K [438 0 R] + /P 431 0 R + /K [] >> endobj 438 0 obj << /Type /StructElem - /S /Span - /P 437 0 R + /S /L + /P 33 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [16] - /Pg 519 0 R + /K [444 0 R 439 0 R] >> endobj 439 0 obj << /Type /StructElem - /S /Div - /P 436 0 R - /K [440 0 R] + /S /LI + /P 438 0 R + /K [443 0 R 440 0 R] >> endobj 440 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 439 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [15] - /Pg 519 0 R + /K [441 0 R] >> endobj 441 0 obj << /Type /StructElem - /S /Div - /P 436 0 R + /S /P + /P 440 0 R /K [442 0 R] >> endobj @@ -4709,88 +4668,67 @@ endobj 442 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 441 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [14] - /Pg 519 0 R + /K [35 36 37 38 39 40] + /Pg 708 0 R >> endobj 443 0 obj << /Type /StructElem - /S /Div - /P 436 0 R - /K [444 0 R] + /S /Lbl + /P 439 0 R + /K [34] + /Pg 708 0 R >> endobj 444 0 obj << /Type /StructElem - /S /Span - /P 443 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [13] - /Pg 519 0 R + /S /LI + /P 438 0 R + /K [448 0 R 445 0 R] >> endobj 445 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 9 10 11 12] - /Pg 519 0 R + /S /LBody + /P 444 0 R + /K [446 0 R] >> endobj 446 0 obj << /Type /StructElem - /S /Strong - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [8] - /Pg 519 0 R + /S /P + /P 445 0 R + /K [447 0 R] >> endobj 447 0 obj << /Type /StructElem - /S /Strong - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [7] - /Pg 519 0 R + /S /Formula + /P 446 0 R + /K [13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33] + /Pg 708 0 R >> endobj 448 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [455 0 R 453 0 R 451 0 R 449 0 R] + /S /Lbl + /P 444 0 R + /K [12] + /Pg 708 0 R >> endobj @@ -4798,45 +4736,41 @@ endobj << /Type /StructElem /S /Div - /P 448 0 R - /K [450 0 R] + /P 33 0 R + /K [453 0 R 450 0 R] >> endobj 450 0 obj << /Type /StructElem - /S /Span + /S /Div /P 449 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10] - /Pg 517 0 R + /K [452 0 R 451 0 R] >> endobj 451 0 obj << /Type /StructElem - /S /Div - /P 448 0 R - /K [452 0 R] + /S /Formula + /P 450 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2 3 4 5 6 7 8 9 10 11] + /Pg 708 0 R >> endobj 452 0 obj << /Type /StructElem - /S /Span - /P 451 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [9] - /Pg 517 0 R + /S /P + /P 450 0 R + /K [1] + /Pg 708 0 R >> endobj @@ -4844,8 +4778,8 @@ endobj << /Type /StructElem /S /Div - /P 448 0 R - /K [454 0 R] + /P 449 0 R + /K [] >> endobj @@ -4853,13 +4787,13 @@ endobj << /Type /StructElem /S /Span - /P 453 0 R + /P 33 0 R /A [<< /O /Layout /Placement /Block >>] - /K [8] - /Pg 517 0 R + /K [0] + /Pg 708 0 R >> endobj @@ -4867,31 +4801,31 @@ endobj << /Type /StructElem /S /Div - /P 448 0 R - /K [456 0 R] + /P 33 0 R + /K [462 0 R 460 0 R 458 0 R 456 0 R] >> endobj 456 0 obj << /Type /StructElem - /S /Span + /S /Div /P 455 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [7] - /Pg 517 0 R + /K [457 0 R] >> endobj 457 0 obj << /Type /StructElem - /S /Div - /P 28 0 R - /K [475 0 R 473 0 R 472 0 R 470 0 R 469 0 R 467 0 R 466 0 R 464 0 R 463 0 R 461 0 R 460 0 R 458 0 R] + /S /Span + /P 456 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [82] + /Pg 706 0 R >> endobj @@ -4899,7 +4833,7 @@ endobj << /Type /StructElem /S /Div - /P 457 0 R + /P 455 0 R /K [459 0 R] >> endobj @@ -4913,8 +4847,8 @@ endobj /O /Layout /Placement /Block >>] - /K [6] - /Pg 517 0 R + /K [81] + /Pg 706 0 R >> endobj @@ -4922,159 +4856,154 @@ endobj << /Type /StructElem /S /Div - /P 457 0 R - /K [] + /P 455 0 R + /K [461 0 R] >> endobj 461 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [462 0 R] + /S /Span + /P 460 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [80] + /Pg 706 0 R >> endobj 462 0 obj << /Type /StructElem - /S /Span - /P 461 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 517 0 R + /S /Div + /P 455 0 R + /K [463 0 R] >> endobj 463 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [] + /S /Span + /P 462 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [79] + /Pg 706 0 R >> endobj 464 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [465 0 R] + /S /L + /P 33 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [470 0 R 465 0 R] >> endobj 465 0 obj << /Type /StructElem - /S /Span + /S /LI /P 464 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 517 0 R + /K [469 0 R 466 0 R] >> endobj 466 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [] + /S /LBody + /P 465 0 R + /K [467 0 R] >> endobj 467 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [468 0 R] + /S /P + /P 466 0 R + /K [468 0 R 78] + /Pg 706 0 R >> endobj 468 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 467 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 517 0 R + /K [64 65 66 67 68 69 70 71 72 73 74 75 76 77] + /Pg 706 0 R >> endobj 469 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [] + /S /Lbl + /P 465 0 R + /K [63] + /Pg 706 0 R >> endobj 470 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [471 0 R] + /S /LI + /P 464 0 R + /K [474 0 R 471 0 R] >> endobj 471 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 470 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 517 0 R + /K [472 0 R] >> endobj 472 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [] + /S /P + /P 471 0 R + /K [45 473 0 R] + /Pg 706 0 R >> endobj 473 0 obj << /Type /StructElem - /S /Div - /P 457 0 R - /K [474 0 R] + /S /Formula + /P 472 0 R + /K [46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62] + /Pg 706 0 R >> endobj 474 0 obj << /Type /StructElem - /S /Span - /P 473 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 517 0 R + /S /Lbl + /P 470 0 R + /K [44] + /Pg 706 0 R >> endobj @@ -5082,32 +5011,31 @@ endobj << /Type /StructElem /S /Div - /P 457 0 R - /K [] + /P 33 0 R + /K [479 0 R 476 0 R] >> endobj 476 0 obj << /Type /StructElem - /S /Span - /P 28 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 517 0 R + /S /Div + /P 475 0 R + /K [478 0 R 477 0 R] >> endobj 477 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [3] - /Pg 515 0 R + /S /Formula + /P 476 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [37 38 39 40 41 42 43] + /Pg 706 0 R >> endobj @@ -5115,88 +5043,1952 @@ endobj << /Type /StructElem /S /P - /P 28 0 R - /K [2] - /Pg 515 0 R + /P 476 0 R + /K [36] + /Pg 706 0 R >> endobj 479 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [1] - /Pg 515 0 R + /S /Div + /P 475 0 R + /K [] >> endobj 480 0 obj << /Type /StructElem - /S /P - /P 28 0 R - /K [0] - /Pg 515 0 R + /S /Div + /P 33 0 R + /K [487 0 R 481 0 R] >> endobj 481 0 obj << - /Type /Font - /Subtype /Type0 - /BaseFont /KKBOHE+NewCM10-Bold-Identity-H - /Encoding /Identity-H - /DescendantFonts [482 0 R] - /ToUnicode 485 0 R + /Type /StructElem + /S /Div + /P 480 0 R + /K [486 0 R 483 0 R 482 0 R] >> endobj 482 0 obj << - /Type /Font - /Subtype /CIDFontType0 - /BaseFont /KKBOHE+NewCM10-Bold - /CIDSystemInfo << - /Registry (Adobe) - /Ordering (Identity) - /Supplement 0 - >> - /FontDescriptor 484 0 R - /DW 0 - /W [0 0 280 1 1 831 2 2 575 3 3 639 4 4 527 5 5 454 6 6 383 7 7 692 8 8 882 9 9 786 10 10 869 11 11 639 12 12 447 13 13 639 14 14 607 15 15 756 16 16 863 17 17 864 18 18 900 19 19 436 20 20 319 21 21 559 22 22 474 23 23 639 24 24 510.99997 25 25 319 26 26 527 27 27 575 28 28 431 29 36 575 37 37 383 38 40 575 41 41 319 42 42 800 43 43 958 44 44 607 45 45 885 46 46 639 47 47 319 48 48 831 49 50 639 51 51 319 52 52 543 53 53 818 54 54 1092 55 55 904 56 56 724 57 57 351 58 58 575 59 59 639 60 60 607 61 61 319 62 62 869 63 63 900 64 64 797] + /Type /StructElem + /S /Formula + /P 481 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [26 27 28 29 30 31 32 33 34 35] + /Pg 706 0 R >> endobj 483 0 obj << - /Length 12 - /Filter /FlateDecode + /Type /StructElem + /S /P + /P 481 0 R + /K [15 485 0 R 21 484 0 R 25] + /Pg 706 0 R >> -stream -x,]y -endstream endobj 484 0 obj << - /Type /FontDescriptor - /FontName /KKBOHE+NewCM10-Bold - /Flags 131076 - /FontBBox [13 -250 1051 750] - /ItalicAngle 0 - /Ascent 806 - /Descent -194 - /CapHeight 686 - /StemV 168.6 - /CIDSet 483 0 R - /FontFile3 486 0 R + /Type /StructElem + /S /Formula + /P 483 0 R + /K [22 23 24] + /Pg 706 0 R >> endobj 485 0 obj << - /Length 1510 + /Type /StructElem + /S /Formula + /P 483 0 R + /K [16 17 18 19 20] + /Pg 706 0 R +>> +endobj + +486 0 obj +<< + /Type /StructElem + /S /P + /P 481 0 R + /K [14] + /Pg 706 0 R +>> +endobj + +487 0 obj +<< + /Type /StructElem + /S /Div + /P 480 0 R + /K [] +>> +endobj + +488 0 obj +<< + /Type /StructElem + /S /Div + /P 33 0 R + /K [494 0 R 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[S#|<ɱC>>O/Gʗ%җ~*pOg?tUwm']|何{򀊩ҺC} .\n -OµOfj5 8}#r&= %3+_g _4_ڋS]v.w^~w6V|i&r<"/#h[iwU$:䶮xjJ&Z`'~4C&ӼԔPPGGED}ҡ@G^ ]ZX8i>!e}P||΁&dt5R_%'KAɖ@vdH3c#D tΧm2?Vhd @[9R莂EkՆȄ{tYuRKugZ˫|G}:ڸ,~e]eU%8]+pYmN ܃0 }#tf!"Iee~=^mC5z^xM -o|0 aKS`~T}zXI_;hQG$^#miPU.?Į8"'R --~6C4vEl^FEtӓ׊,IJHϪ=y KGS:sqyA -;^!QAp .~IPo՘rC(̂U¢ 2bwA\45nc~EV/bA pd'3%@>8=KgxyAyjaۍ@ZjVQ'7ExE 7x4%x-`oSөyh*͠ݏɈI]吚QHbS2iy,ȃI!)́;$@+ہgA-xnڠ 79{T`mjnx, q˨X\=wy,K{#kCqRiL|?\p*CRGj%8ޢ{%xvMK.K?~\?3ruaRa|h7l|PEGx^^!svg hfi5vW6]GI7p!SwBť?A+/Tq!h3qgdA3`e! ˄,<~nm )=y#M:{u kpeщ{ҥ%<|??p2*no'Fi>jG"w+uDAtu"lU"9 +@G4r3!>wURc/Q܎ -]{+ѕ  _hoY2XɊMʁ"ܗEJ&n,Y4@<H ]-z18b9Fg >6qB -rx `ߢ[O>=N^9fBtuzI'`xB3C>k 橹 K%,y'M%I5U^oC}O1NhV@P,=~Ք5FX%`JgVDCMxS*qJ~KOlm~Ù*)#>#+QN|U.Ad$%FA񪎪8RU ynq8q4)I?v>Z U td%9k1x]taDžǖFn7ɼݲ k=q0w,G7; - %oWE_vfW,_kgAJJfiia{T׮ )jt=?t:G+g3CnrzH޻LuqF6 tLh5?6DGI:P}%w{/X|jnħVU!'-cj^DPIEǃDVh٬xB7vrC5/g&oYۧQ?B +xYyTWﶭb+K5QQc\P0q +(( m}dd}1hщI>#&8[}ߜu%93s9Oz^zK|".~%p4T4\.z.u\=fL&hZ Oˑ?K{(B.Wxny' /4j\GIί4yݜ;;BB&عEl + r[`@">!>vNNvv!>>v;OuB`։[BC&n2%NޛdP-v>^~C&d}dr\S6GZKsBid432,-Q_L?cLM`T)drL&s5oh޶2lyWlee~ocQWMi \'Y3EˀTS*#g +JH=eP'H:QGLQRdp jAjhh1!;4(*t@S(G9@7£Eǎq8Էa=Qjw3#PHmEvWᚨk"h+୦ٵӷGN#+pcQ76j,*7?t\̮ _@Tκ\tZ(umS)-$DCrnW |)Kt֞Rj:e=C~S8Y&*SKT64B}V[ݜwE\4xh=}?- r@+6cI%@!LEd M ;Nas:ݝ݄U `Dt+))? v ]HH/d@ +#Li(RGU4NR{p$^]Q&EIt>{J=:c"uSFмh^`4][wұuBs@ܦFlG+Wm5k2flĶ]>R}NX\Ygz MNOD*LteQSPS'y0láJ U +"]ۊcY08@؛'PcO.F8 HF&1=Yyܓ8K2=@ԙ~&hP'i$U )ZTQ膹ӕ8XKe5?EMTjD'r$kğѬaW?2WK5EQ^B#E6$y! 4 N,5Pt*M +{Dz&lyԲ|!GB"׈. wK|SU *@{j$N][{> +b t<֜S9G-QrNXqBK@D؎4(4]0Y[֌UX%ZQt^Nu_p0b4a;`)$L:!m *$O}H'5]&tҠL9[kzlj{ +-|h*j_x#ܩ+{m#ޤo `SԔwUhR6ih]CW\NrMoxUߚ?nz% W΄bxNGHL[faFKPa͋PqF{F"_ah*Ph؟|Ho4@n/5Á(3/+!`ԇ!Hih1hcTJ`RRg49Yej6 FAS)QHR;*Ev6p1TaMZ*zH!(a5>*2sRĥU8ZD+J.\:YΗByPFПmu\NU{'{D.9.B}jc.5^~,'ӌ`8·ÆN(s\M7 s⸉k64 2DT:Uiԗ?j6 ]Dsh=.97*P3DFl8$.iPV<(N^2;Bg}k*7 ? f$T§zêt pA+|mQ`HN Z>r th=h +y]@^l}JߧPqqIs=_:[T2mŒݢ.f.׳-*}"uM55MBSMMDɑUUB(ڗrx d@5Q 8F-ٹֺbTLhÝHz{R"Fe5=| 6*׫dP{p\aSP mp==1c.ᰈ975z '~8 d$/%:٩3[CN%Wùp#1 JRr$9)9t$0R,,*WSFxw [ZF5~VԖZkm! hBUt/ϛ +TƷϻ9yҼy&ߜR[wwε;׼]PrQZaЊ*QuJXw,h@rZ9b=0\'6R9k]A\4pV)~ȨM[avhpT*/뀹43OqPbF ƂK²hoύn[Sv#t,ZЃ!A>O-Gט&pO/A٪m>IWo}Xx{}TKy@4qAݹQ[ /-TIծ3 ]µO:ekpʽGݱ[<  t̮B8Jn| |}r|5^ݟkSw{YLsp3UuU1NъuSOe(Pݩᩆl{K3D`?KMI@eTXdxT8w. +t q=b5bK5'Lv@ Q(īr +)Vv--$Cž!HXY猗Hw>Ukf3h6xz"D hn(IFHX{V7vJtS3S~}U}FGN__v" +bR}hgUQſw;+~H6["P9,(D߻Cd +e&lO{h=;`?}S5'TJzGODp!~ eSsMy:^㺇!(I*% c*O{\} jM-ٚI/%Ł] kWM?~WiǕf+0]zn>sJ(̂}:=,z~| l@g)*Zšh&pR1F"뫟>Lfۏf!Cbu0Zw\Mocm ''geϺŹ٫PHfGщ>ORN^!\tA@!ok ꙩD,}f&8\TtMQ˿& (7"e'^fDϱZ,E;s*Z#)SWxN 'aT`ɥ/my,m􌯀8Qoog%Ӝm0GztLȭhAd"I:P}y,{QV˟R;lԪmAi|JL *ʻx)g6j6 o$Ѝ멟=ǁ'x45C]dF&ȃrEc&=/59OBYBq|>  >B{מױ*3! rM ^[ uC"#y߽[$3۔6/PwhaW!|=!^ZH]hMmRW]NP1 L(3N,EQY'x_aBv/$7QStWqDQѕ,T:,d=;wFyք +p֌',ogS%bTtu ` h. sfI'hFT8_װyA Be<ѩ>gUi1H$5KomyǑʼ(#~lS#;5fA+bW0>;S\&V.E䀗A!}pIjVA9mAB)tu?.f| endstream endobj -487 0 obj +662 0 obj << /Type /Font /Subtype /Type0 - 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1fr), + align: horizon, + place(center + horizon, dx: 11.8cm, dy: 0.7cm)[#decor_matrice_etoilee()], + design_plan(( + [Introduction], [Codes linéaires], [LDPC], + [Codage], [Décodage], [Analyse], + )) + ) +] -#myslide("Introduction : Transmission Numérique")[ - #align(center + horizon)[ +#myslide("Introduction : Communication Numérique")[ + #place(center + horizon, dy: 8cm)[ #canal_shannon_intro() ] ] @@ -132,7 +133,7 @@ ] ] -#myslide("Définition: Matrice Génératrice")[ +#myslide("Définition : Matrice Génératrice")[ #definition(titre: "Matrice Génératrice")[ $G in cal(M)_(k,n)(FF_2)$ dont les lignes sont une base de $cal(C)$ ] @@ -162,7 +163,7 @@ ] ] -#myslide("Défniition: Matrice de Contrôle")[ +#myslide("Définition : Matrice de Contrôle")[ #definition(titre: "Matrice de Contrôle")[ $ H = mat( @@ -199,7 +200,6 @@ #let col-u = blue #let col-p = orange - #underline(offset: 3pt)[Exemple d'un code $(5,2)$] @@ -248,8 +248,7 @@ #let colu = blue #let colp = orange - #v(0.5em) - + #place(dx: 0cm, dy: 2.0cm)[ #set text(size: 1.1em) Enfin @@ -283,11 +282,11 @@ $ ] ] +] // A REMPLACER AVEC DE VRAI DONNE SUR DE VRAI CODE LDPC ET HAMMING PAR EXEMPLE #myslide("Approcher la Limite de Shannon")[ #limite_shannon_graphique() - ] // #myslide("Redondance et limite théorique")[ @@ -299,16 +298,136 @@ // $=>$ gros bloc (moyenne du bruit aléatoire) // ] -#myslide("Décodage par Maximum de Vraisemblance")[ - Trouver le message envoyer le + probable sachant le message recu : NP-COMPLET (Max) - Decodage par syndrome d'une code lin'aire général est NP-Complet - Complexité $O(2^k)$ +#myslide("Le Mur de la Complexité")[ + #set text(size: 19pt) + #definition(titre: [Décodage par Maximum de Vraisemblance (MDL)], accent: black)[ + Chercher le mot de code $bold(c) in cal(C)$ le plus probable sachant $bold(r)$ reçu : + $ hat(bold(c)) = arg min_(bold(c) in cal(C)) d_H (bold(r), bold(c)) $ + ] + + - Équivalent à chercher l'erreur $bold(e)$ de poids minimal tel que $bold(H) bold(e)^top = bold(s)$. + + #v(0.5em) + + #definition(titre: "Le Problème du décodage par Syndrome")[ + NP-Difficile et pour $H$ quelconque : $cal(O)(2^k)$ + ] + + - Pour $k=100$ bits, $2^100 approx 10^30$ opérations nécessaires. ] -#myslide("LDPC")[ - Matrice $H$ clairsemée(low density) donc complexité mointre, pas de produit de matrice mais algorithme itératif efficace quasi linéaire - Graphique d'un H très grand clairesemée avec plein de 0, généré en rust par exemple où les 1 sont des points noir et le reste du blanc - Défniition avec (w_r,w_c) +#myslide("Définition des Codes LDPC")[ + #definition(titre: [Formalisation des Codes LDPC Réguliers])[ + Code linéaire en bloc avec une matrice de contrôle $bold(H)$ est *clairsemée*. + ] + + - *Poids de Colonne $w_c$* + + - *Poids de Ligne $w_r$* + + #v(0.5em) + + #definition(titre: "Conditions de Faible Densité", accent: black)[ + #set align(center) + $w_c << n - k $ #h(2cm) $w_r << n$ + ] + + #definition(titre : "Rendement")[ + $ display(R = (n - op("rg")(H)) / n >= 1 - m / n) $ + ] + ] + + #myslide([Matrice de contrôle])[ + #definition(titre : [Code LDPC $(6, 3)$])[ + $m w_r = n w_c$ donc $H in cal(M)_(15, 30)(FF_2)$ et $display(R = 1 - m / n = 1/2)$ + ] + + #v(2cm) + + #place(center + horizon, dx: 0cm, dy: 7.3cm)[ + #scale(140%)[#hldpc()] + ] +] + +#myslide("De la Matrice aux Équations de Parité")[ + #set text(size: 17pt) + + #let v_space = 2.83cm + + #align(center)[ + #scale(115%)[ + #grid( + columns: (auto, auto), + gutter: -15pt, + align: horizon, + [#hldpc_dual(row1: 0, row2: none)], + [ + // #set math.mat(gap: 24.5pt) + #move(dy: 13.8pt)[ + $ underbrace( + mat(r_0; r_1;#v(v_space);dots.v; r_29; delim: "["), + #text()[Mot reçu] r space in space FF_2^30 + ) $ + ] + ] + ) + ] + ] + + #v(0.5cm) + + #set text(size: 1.1em) + + - Chaque ligne $j$ de $H$ définit une équation de parité $f_j$. + - Pour $r$, on vérifie le syndrome : $H r^top = 0$. + + #v(0.2cm) + + #definition(titre: [Équations de Parité], accent: orange)[ + #set text(size: 1em) + #text(fill: orange)[$ f_0 : r_7 plus.o r_10 plus.o r_15 plus.o r_22 plus.o r_24 plus.o r_29 = 0 $] + ] + + #v(0.3cm) + #text(size: 1.1em)[- Si $f_j = 1$, un nombre impair de bits a été inversé par le canal.] +] + +#myslide("L'Entrelacement des Contraintes")[ + #set text(size: 17pt) + +#align(center)[ + #move(dx: -1.2cm)[ + #scale(115%)[#hldpc_dual(row1: 0, row2: 14)] + ] +] + + #v(1cm) + + #set text(size: 1.1em) + - Chaque bit $r_i$ participe à $w_c = 3$ équations distinctes + + #v(1cm) + + // --- Étage 2 : Système et Décision --- + #set align(center + horizon) + #scale(115%)[ + #block(fill: gray.lighten(95%), inset: 10pt, stroke: 0.5pt + gray, radius: 4pt)[ + $ cases( + #text(fill: orange)[$r_7 plus.o r_10 plus.o r_15 plus.o r_22 plus.o bold(r_24) plus.o r_29 &= 0$], + + #h(4.5cm) #text(size : 20pt)[$bold(dots.v)$], + + #text(fill: blue)[$r_1 plus.o r_3 plus.o r_12 plus.o bold(r_24) plus.o r_25 plus.o r_28 &= 0$] + ) $ + ] + ] + + #v(1cm) + + #set align(left) + #set text(size: 1.1em) + - *$r_24$* : Surveillé par #text(fill: orange)[$f_0$] et #text(fill: blue)[$f_14$]. + - Si #text(fill: orange)[$f_0 = 1$] et #text(fill: blue)[$f_14 = 1$], $r_24$ est suspect ] #myslide("Graphe de Tanner")[ @@ -361,3 +480,13 @@ #myslide("Théorie deriere la définition des codes linaires")[ Poser les notations algebriques etc... ] + +#myslide("Decodage par maximum de vraisemblance")[ + Expliquer, quelle distance ? etc +] + +#myslide("Code LDPC non régulier")[ + +] + +