diff --git a/composants.typ b/composants.typ index 2e1187a..bef6a7d 100644 --- a/composants.typ +++ b/composants.typ @@ -217,74 +217,100 @@ #let canal_shannon_intro() = { // Couleurs - let col-u = blue // Signal propre - let col-p = orange // Signal bruité - let C_MAIN = black + 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 + let C_LABEL = black cetz.canvas(length: 1cm, { import cetz.draw: * - 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 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 // 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)) + let s_bruit_fleche = ( + stroke: (paint: black, thickness: 1.5pt, dash: "dashed"), + mark: (end: "stealth", fill: black, size: 0.25), + ) // 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) + 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, + ) } // --- ONDES (Bruit dosé : "tremblement" au lieu de "chaos") --- let wave_vert(x, y_start, y_end, is_noisy) = { - let n_points = 200 + 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) + + 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, + ) } - 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 + 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 // --- 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_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") // --- CONNEXIONS --- line("src.east", "em.west", ..s_ligne) - line("bruit.west", "canal.east", ..s_bruit_fleche) + 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) + 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") + 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") }) } @@ -579,17 +605,17 @@ import cetz.draw: * // --- 1. Paramètres de la Matrice --- - let nx = 430 - let ny = 265 - + 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 + 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 + let fade_left = 220.0 // Palette de couleurs let col_focus = rgb("#0284c7") @@ -606,14 +632,14 @@ for x in range(nx) { for y in range(ny) { let hash = pseudo_rand(x, y) - let is_active = hash < 12 + 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 + 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) } @@ -625,27 +651,35 @@ circle((loupe_x, loupe_y), radius: R, fill: white, stroke: none) // Grille zoomée - let limit = 20 + 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) + 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 + // Points zoomés + let search_r = int(R / zoom) + 2 let lx_int = int(loupe_x) - let ly_idx = int(-loupe_y) + 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 { + if hash < 12 { let dx = x - loupe_x - let dy = -y - loupe_y + let dy = -y - loupe_y let d_orig = calc.sqrt(dx * dx + dy * dy) let d_zoom = d_orig * zoom @@ -665,16 +699,98 @@ #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) + (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, { @@ -683,24 +799,24 @@ 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) = $]) + content((-3.4, -h_height / 2), text(size: 1.6em, weight: "bold")[$bold(H) =$]) // Sélection visuelle (Focus) let sel_row = 7 - let sel_col = 10 + let sel_col = 10 // Rectangles de fond rect((0, -sel_row), (h_width, -sel_row - 1), fill: col_row_bg, stroke: none) @@ -717,13 +833,13 @@ for (x, y) in points { let px = x + 0.5 let py = -y - 0.5 - + let is_row = (y == sel_row) let is_col = (x == sel_col) - + let d_col = col_dot_base let r = 0.16 - + if is_row { d_col = color_blue r = 0.24 @@ -736,20 +852,117 @@ } // 5. Légendes w_r et w_c - content((h_width + 0.5, -sel_row - 0.5), anchor: "west", text(fill: color_blue, weight: "bold", size: 1.1em)[$w_r = 6$]) + content((h_width + 0.5, -sel_row - 0.5), anchor: "west", text( + fill: color_blue, + weight: "bold", + size: 1.1em, + )[$w_r = 6$]) content((sel_col + 0.5, 0.8), anchor: "south", text(fill: color_orange, weight: "bold", size: 1.1em)[$w_c = 3$]) }) } #let hldpc_dual(row1: 0, row2: 14) = { import cetz.draw: * - let points = ((7,0), (10,0), (15,0), (22,0), (24,0), (29,0), (3,1), (6,1), (18,1), (19,1), (25,1), (27,1), (5,2), (9,2), (13,2), (14,2), (17,2), (28,2), (0,3), (8,3), (11,3), (16,3), (20,3), (26,3), (1,4), (2,4), (4,4), (12,4), (21,4), (23,4), (5,5), (6,5), (8,5), (10,5), (21,5), (29,5), (14,6), (15,6), (16,6), (18,6), (22,6), (28,6), (0,7), (1,7), (4,7), (9,7), (20,7), (26,7), (2,8), (3,8), (11,8), (12,8), (17,8), (19,8), (7,9), (13,9), (23,9), (24,9), (25,9), (27,9), (0,10), (6,10), (15,10), (18,10), (21,10), (26,10), (2,11), (7,11), (10,11), (17,11), (22,11), (27,11), (8,12), (11,12), (14,12), (20,12), (23,12), (29,12), (4,13), (5,13), (9,13), (13,13), (16,13), (19,13), (1,14), (3,14), (12,14), (24,14), (25,14), (28,14)) + let points = ( + (7, 0), + (10, 0), + (15, 0), + (22, 0), + (24, 0), + (29, 0), + (3, 1), + (6, 1), + (18, 1), + (19, 1), + (25, 1), + (27, 1), + (5, 2), + (9, 2), + (13, 2), + (14, 2), + (17, 2), + (28, 2), + (0, 3), + (8, 3), + (11, 3), + (16, 3), + (20, 3), + (26, 3), + (1, 4), + (2, 4), + (4, 4), + (12, 4), + (21, 4), + (23, 4), + (5, 5), + (6, 5), + (8, 5), + (10, 5), + (21, 5), + (29, 5), + (14, 6), + (15, 6), + (16, 6), + (18, 6), + (22, 6), + (28, 6), + (0, 7), + (1, 7), + (4, 7), + (9, 7), + (20, 7), + (26, 7), + (2, 8), + (3, 8), + (11, 8), + (12, 8), + (17, 8), + (19, 8), + (7, 9), + (13, 9), + (23, 9), + (24, 9), + (25, 9), + (27, 9), + (0, 10), + (6, 10), + (15, 10), + (18, 10), + (21, 10), + (26, 10), + (2, 11), + (7, 11), + (10, 11), + (17, 11), + (22, 11), + (27, 11), + (8, 12), + (11, 12), + (14, 12), + (20, 12), + (23, 12), + (29, 12), + (4, 13), + (5, 13), + (9, 13), + (13, 13), + (16, 13), + (19, 13), + (1, 14), + (3, 14), + (12, 14), + (24, 14), + (25, 14), + (28, 14), + ) cetz.canvas(length: 0.35cm, { - let nx = 30; let ny = 15 - let col_1 = orange; let col_2 = blue - - content((-3.4, -7.5), text(size: 1.6em )[$H = $]) + let nx = 30 + let ny = 15 + let col_1 = orange + let col_2 = blue + + content((-3.4, -7.5), text(size: 1.6em)[$H =$]) // Fonds de lignes rect((0, -row1), (nx, -row1 - 1), fill: col_1.lighten(90%), stroke: none) @@ -763,9 +976,544 @@ for (x, y) in points { let d_col = gray.darken(30%) let r = 0.15 - if y == row1 { d_col = col_1; r = 0.22 } - else if y == row2 { d_col = col_2; r = 0.22 } + if y == row1 { + d_col = col_1 + r = 0.22 + } else if y == row2 { + d_col = col_2 + r = 0.22 + } circle((x + 0.5, -y - 0.5), radius: r, fill: d_col, stroke: none) } }) } + +// Données de H partagées (mêmes points que hldpc / hldpc_dual) +#let _h_pts = ( + (7, 0), + (10, 0), + (15, 0), + (22, 0), + (24, 0), + (29, 0), + (3, 1), + (6, 1), + (18, 1), + (19, 1), + (25, 1), + (27, 1), + (5, 2), + (9, 2), + (13, 2), + (14, 2), + (17, 2), + (28, 2), + (0, 3), + (8, 3), + (11, 3), + (16, 3), + (20, 3), + (26, 3), + (1, 4), + (2, 4), + (4, 4), + (12, 4), + (21, 4), + (23, 4), + (5, 5), + (6, 5), + (8, 5), + (10, 5), + (21, 5), + (29, 5), + (14, 6), + (15, 6), + (16, 6), + (18, 6), + (22, 6), + (28, 6), + (0, 7), + (1, 7), + (4, 7), + (9, 7), + (20, 7), + (26, 7), + (2, 8), + (3, 8), + (11, 8), + (12, 8), + (17, 8), + (19, 8), + (7, 9), + (13, 9), + (23, 9), + (24, 9), + (25, 9), + (27, 9), + (0, 10), + (6, 10), + (15, 10), + (18, 10), + (21, 10), + (26, 10), + (2, 11), + (7, 11), + (10, 11), + (17, 11), + (22, 11), + (27, 11), + (8, 12), + (11, 12), + (14, 12), + (20, 12), + (23, 12), + (29, 12), + (4, 13), + (5, 13), + (9, 13), + (13, 13), + (16, 13), + (19, 13), + (1, 14), + (3, 14), + (12, 14), + (24, 14), + (25, 14), + (28, 14), +) + +#let tanner_illustration() = { + cetz.canvas(length: 1.1cm, { + import cetz.draw: * + + let vy = 2.6 + let cy = 0.0 + let vxs = (0.0, 1.2, 2.4, 3.6) + let cxs = (0.9, 2.7) + + let edges = ((0, 0), (1, 0), (2, 0), (1, 1), (2, 1), (3, 1)) + + // Dessin des arêtes + for (vi, ci) in edges { + line( + (vxs.at(vi), vy - 0.28), + (cxs.at(ci), cy + 0.32), + stroke: 0.9pt + gray.darken(10%), + ) + } + + // Nœuds de contrôle (carrés, orange) + let cnames = ([$c_0$], [$c_1$]) + for j in range(2) { + let cx = cxs.at(j) + let s = 0.30 + rect( + (cx - s, cy - s), + (cx + s, cy + s), + fill: orange.lighten(75%), + stroke: 1.8pt + orange, + name: "c" + str(j), + ) + content( + (cx, cy - s - 0.3), + anchor: "north", + text(size: 0.8em, fill: orange, weight: "bold")[#cnames.at(j)], + ) + } + + // Nœuds de variable (cercles, bleu) + let vnames = ([$v_0$], [$v_1$], [$v_2$], [$v_3$]) + for i in range(4) { + let vx = vxs.at(i) + let r = 0.28 + circle( + (vx, vy), + radius: r, + fill: blue.lighten(75%), + stroke: 1.8pt + blue, + name: "v" + str(i), + ) + content( + (vx, vy + r + 0.25), + anchor: "south", + text(size: 0.8em, fill: blue, weight: "bold")[#vnames.at(i)], + ) + } + }) +} + +// Mini matrice H avec surbrillance d'une ligne et/ou colonne +#let h_mini_tanner(hl_row: none, hl_col: none) = { + let pts = _h_pts + cetz.canvas(length: 0.215cm, { + import cetz.draw: * + let nx = 30 + let ny = 15 + content((-7, -7.5), text(size: 1.5em, weight: "bold")[$H =$]) + if hl_row != none { + rect((0, -hl_row), (nx, -hl_row - 1), fill: orange.lighten(85%), stroke: none) + } + if hl_col != none { + rect((hl_col, 0), (hl_col + 1, -ny), fill: blue.lighten(85%), stroke: none) + } + set-style(stroke: (thickness: 0.9pt, cap: "round")) + line((0.4, 0.25), (0, 0.25), (0, -ny - 0.25), (0.4, -ny - 0.25)) + line((nx - 0.4, 0.25), (nx, 0.25), (nx, -ny - 0.25), (nx - 0.4, -ny - 0.25)) + for (x, y) in pts { + let r = 0.13 + let col = gray.darken(25%) + if hl_row != none and y == hl_row { + col = orange + r = 0.22 + } else if hl_col != none and x == hl_col { + col = blue + r = 0.22 + } + circle((x + 0.5, -y - 0.5), radius: r, fill: col, stroke: none) + } + if hl_row != none { + content((nx + 0.5, -hl_row - 0.5), anchor: "west", text(fill: orange, size: 1.0em, weight: "bold")[$c_#hl_row$]) + } + if hl_col != none { + content((hl_col + 0.5, 0.70), anchor: "south", text(fill: blue, size: 1.0em, weight: "bold")[$v_#hl_col$]) + } + }) +} + +#let hldpc_dynamic(hl_rows: (), hl_cols: (), show_labels: true, h_show: true) = { + import cetz.draw: * + + let points = ( + (7, 0), + (10, 0), + (15, 0), + (22, 0), + (24, 0), + (29, 0), + (3, 1), + (6, 1), + (18, 1), + (19, 1), + (25, 1), + (27, 1), + (5, 2), + (9, 2), + (13, 2), + (14, 2), + (17, 2), + (28, 2), + (0, 3), + (8, 3), + (11, 3), + (16, 3), + (20, 3), + (26, 3), + (1, 4), + (2, 4), + (4, 4), + (12, 4), + (21, 4), + (23, 4), + (5, 5), + (6, 5), + (8, 5), + (10, 5), + (21, 5), + (29, 5), + (14, 6), + (15, 6), + (16, 6), + (18, 6), + (22, 6), + (28, 6), + (0, 7), + (1, 7), + (4, 7), + (9, 7), + (20, 7), + (26, 7), + (2, 8), + (3, 8), + (11, 8), + (12, 8), + (17, 8), + (19, 8), + (7, 9), + (13, 9), + (23, 9), + (24, 9), + (25, 9), + (27, 9), + (0, 10), + (6, 10), + (15, 10), + (18, 10), + (21, 10), + (26, 10), + (2, 11), + (7, 11), + (10, 11), + (17, 11), + (22, 11), + (27, 11), + (8, 12), + (11, 12), + (14, 12), + (20, 12), + (23, 12), + (29, 12), + (4, 13), + (5, 13), + (9, 13), + (13, 13), + (16, 13), + (19, 13), + (1, 14), + (3, 14), + (12, 14), + (24, 14), + (25, 14), + (28, 14), + ) + + cetz.canvas(length: 0.4cm, { + let nx = 30 + let ny = 15 + + let col_row = orange + let col_col = blue + let col_dot_base = gray.darken(30%) + + // Marge pour réduire l'épaisseur des bandes (crée le gap visuel) + let gap = 0.1 + + if h_show { + content((-3.4, -ny / 2), text(size: 1.6em, weight: "bold")[$H =$]) + } else { + content((-3.4, -ny / 2), text(size: 1.6em, weight: "bold")[$space space space$]) + } + + // 1. Dessiner les fonds des lignes (avec gap) + for r in hl_rows { + rect((0, -r - gap), (nx, -r - 1 + gap), fill: col_row.lighten(85%), stroke: none) + } + + // 2. Dessiner les fonds des colonnes (avec gap) + for c in hl_cols { + rect((c + gap, 0), (c + 1 - gap, -ny), fill: col_col.lighten(85%), stroke: none) + } + + // 3. Dessiner les intersections + for r in hl_rows { + for c in hl_cols { + rect( + (c + gap, -r - gap), + (c + 1 - gap, -r - 1 + gap), + fill: col_row.lighten(85%).mix(col_col.lighten(85%)), + stroke: none, + ) + } + } + + // 4. Les grands crochets matriciels + let b_w = 0.6 + set-style(stroke: (thickness: 1.5pt, cap: "round")) + line((b_w, 0.3), (0, 0.3), (0, -ny - 0.3), (b_w, -ny - 0.3)) + line((nx - b_w, 0.3), (nx, 0.3), (nx, -ny - 0.3), (nx - b_w, -ny - 0.3)) + + // 5. Dessin des points + for (x, y) in points { + let px = x + 0.5 + let py = -y - 0.5 + + let is_row = y in hl_rows + let is_col = x in hl_cols + + let d_col = col_dot_base + let r = 0.15 + + // Détermine la couleur et la taille si le point est dans une zone surlignée + if is_row and is_col { + d_col = col_row.mix(col_col) // Point à l'intersection + r = 0.24 + } else if is_row { + d_col = col_row + r = 0.24 + } else if is_col { + d_col = col_col + r = 0.24 + } + + circle((px, py), radius: r, fill: d_col, stroke: none) + } + + // 6. Affichage optionnel des labels + if show_labels { + for r in hl_rows { + content((nx + 0.5, -r - 0.5), anchor: "west", text(fill: col_row, weight: "bold", size: 1.1em)[$c_#r$]) + } + for c in hl_cols { + content((c + 0.5, -ny - 0.8), anchor: "north", text(fill: col_col, weight: "bold", size: 1.1em)[$v_#c$]) + } + } + }) +} + +// Graphe de Tanner paramétrable +// scale : taille d'une unité cetz +// hl_row : index du check node à mettre en évidence (none = aucun) +// hl_col : index du variable node à mettre en évidence (none = aucun) +// show_all : afficher toutes les arêtes +// colored : colorier tous les nœuds (bleu/orange) même sans highlight +#let tanner_canvas( + scale: 0.43cm, + hl_row: none, + hl_col: none, + show_all: false, + colored: false, + v_c_show: true, +) = { + let pts = _h_pts + cetz.canvas(length: scale, { + import cetz.draw: * + let n_var = 30 + let n_chk = 15 + let vy = 5.5 + let cy = 0.0 + + // --- Logique de centrage --- + let gap_v = 1.0 // Espacement des cercles + let gap_c = 1.8 // Espacement des carrés (un peu plus large pour l'équilibre visuel) + + let width_v = (n_var - 1) * gap_v + let width_c = (n_chk - 1) * gap_c + let offset_c = (width_v - width_c) / 2 // Calcul du décalage pour centrer C sous V + + // Noeuds connectés au check ou variable mis en évidence + let hl_var_set = if hl_row != none { + pts.filter(p => p.at(1) == hl_row).map(p => p.at(0)) + } else { () } + let hl_chk_set = if hl_col != none { + pts.filter(p => p.at(0) == hl_col).map(p => p.at(1)) + } else { () } + + // — ARÊTES — + for (vj, ci) in pts { + let vx = vj * gap_v + let ccx = offset_c + (ci * gap_c) + let is_row = hl_row != none and ci == hl_row + let is_col = hl_col != none and vj == hl_col + let do_draw = is_row or is_col or show_all + if do_draw { + let s = if is_row { 1.5pt + orange } else if is_col { 2.0pt + blue } else { 0.50pt + gray.lighten(20%) } + line((vx, vy), (ccx, cy), stroke: s) + } + } + + // — NŒUDS DE CONTRÔLE (carrés) — + for j in range(n_chk) { + let ccx = offset_c + (j * gap_c) + let sz = 0.40 + let is_main = hl_row != none and j == hl_row + let is_conn = hl_chk_set.contains(j) + let fc = if is_main { orange.lighten(48%) } else if is_conn { blue.lighten(60%) } else if colored { + orange.lighten(76%) + } else { white } + let sc = if is_main { 1.8pt + orange } else if is_conn { 1.8pt + blue } else if colored { 1.2pt + orange } else { + 1.0pt + black + } + rect((ccx - sz, cy - sz), (ccx + sz, cy + sz), fill: fc, stroke: sc) + if is_main { + content((ccx, cy - sz - 0.33), anchor: "north", text(size: 0.52em, fill: orange, weight: "bold")[$c_#j$]) + } else if is_conn { + content((ccx, cy - sz - 0.33), anchor: "north", text(size: 0.52em, fill: blue, weight: "bold")[$c_#j$]) + } + } + + // — NŒUDS DE VARIABLE (cercles) — + for i in range(n_var) { + let vx = i * gap_v + let r = 0.33 + let is_main = hl_col != none and i == hl_col + let is_conn = hl_var_set.contains(i) + let fc = if is_main { blue.lighten(48%) } else if is_conn { orange.lighten(60%) } else if colored { + blue.lighten(76%) + } else { white } + let sc = if is_main { 1.5pt + blue } else if is_conn { 1.5pt + orange } else if colored { 1.2pt + blue } else { + 1.0pt + black + } + circle((vx, vy), radius: r, fill: fc, stroke: sc) + if is_main { + content((vx, vy + r + 0.30), anchor: "south", text(size: 0.52em, fill: blue, weight: "bold")[$v_#i$]) + } else if is_conn { + content((vx, vy + r + 0.30), anchor: "south", text(size: 0.52em, fill: orange, weight: "bold")[$v_#i$]) + } + } + + // Légendes des couches + if v_c_show { + content((-2.0, vy), anchor: "east", text(size: 0.65em, weight: "bold")[$V$]) + content((-2.0, cy), anchor: "east", text(size: 0.65em, weight: "bold")[$C$]) + } + }) +} + +// Diagramme passage de messages (Belief Propagation) +#let bp_diagram() = { + cetz.canvas(length: 1.05cm, { + import cetz.draw: * + let vy = 3.0 + let cy = 0.0 + let vxs = (0.0, 1.3, 2.6, 3.9) + let cxs = (0.65, 2.6) + let edges = ((0, 0), (1, 0), (2, 0), (1, 1), (2, 1), (3, 1)) + let mk_bl = (end: "stealth", fill: blue, size: 0.17) + let mk_or = (end: "stealth", fill: orange, size: 0.17) + + // Flèches bidirectionnelles décalées + for (vi, ci) in edges { + let vx = vxs.at(vi) + let cx = cxs.at(ci) + // V → C (bleu, décalé à gauche) + line((vx - 0.06, vy - 0.32), (cx - 0.06, cy + 0.38), mark: mk_bl, stroke: 1.4pt + blue.lighten(15%)) + // C → V (orange, décalé à droite) + line((cx + 0.06, cy + 0.38), (vx + 0.06, vy - 0.32), mark: mk_or, stroke: 1.4pt + orange.lighten(10%)) + } + + // Nœuds de variable + let vnames = ([$v_0$], [$v_1$], [$v_2$], [$v_3$]) + for i in range(4) { + let vx = vxs.at(i) + let r = 0.30 + circle((vx, vy), radius: r, fill: blue.lighten(72%), stroke: 1.6pt + blue) + content((vx, vy + r + 0.20), anchor: "south", text(size: 0.70em, fill: blue, weight: "bold")[#vnames.at(i)]) + } + + // Nœuds de contrôle + let cnames = ([$c_0$], [$c_1$]) + for j in range(2) { + let cx = cxs.at(j) + let s = 0.33 + rect((cx - s, cy - s), (cx + s, cy + s), fill: orange.lighten(72%), stroke: 1.6pt + orange) + content((cx, cy - s - 0.22), anchor: "north", text(size: 0.70em, fill: orange, weight: "bold")[#cnames.at(j)]) + } + + // Légendes des flèches + content((4.45, vy - 0.5), anchor: "west", text(size: 0.65em, fill: blue, weight: "bold")[$mu_(j arrow i)$]) + content((4.45, cy + 0.4), anchor: "west", text(size: 0.65em, fill: orange, weight: "bold")[$nu_(i arrow j)$]) + }) +} + +#let icon_var = box(baseline: 20%)[ + #cetz.canvas({ + import cetz.draw: * + circle((0, 0), radius: 0.35em, fill: blue.lighten(88%), stroke: 1.5pt + blue) + }) +] + +#let icon_chk = box(baseline: 20%)[ + #cetz.canvas({ + import cetz.draw: * + rect((-0.35em, -0.35em), (0.35em, 0.35em), fill: orange.lighten(88%), stroke: 1.5pt + orange) + }) +] diff --git a/main.pdf b/main.pdf index 7eecc93..110dcd8 100644 --- a/main.pdf +++ b/main.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 30 - /Kids [690 0 R 692 0 R 694 0 R 698 0 R 700 0 R 702 0 R 704 0 R 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0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 692 0 R 688 0 R 686 0 R 684 0 R 682 0 R] endobj 9 0 obj -[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] +[679 0 R 676 0 R 677 0 R 677 0 R 677 0 R 677 0 R 677 0 R 677 0 R 677 0 R 677 0 R 675 0 R 672 0 R 674 0 R 672 0 R 673 0 R 673 0 R 673 0 R 669 0 R 668 0 R 667 0 R 665 0 R 664 0 R 663 0 R 661 0 R 660 0 R 660 0 R 660 0 R 660 0 R 660 0 R 659 0 R 655 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 654 0 R 650 0 R 650 0 R 650 0 R 650 0 R 649 0 R 649 0 R 649 0 R 648 0 R 647 0 R 647 0 R 647 0 R 647 0 R 647 0 R 647 0 R 647 0 R 647 0 R 646 0 R 646 0 R 646 0 R 645 0 R 643 0 R 641 0 R 639 0 R] endobj 10 0 obj -[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] +[636 0 R 634 0 R 633 0 R 633 0 R 633 0 R 633 0 R 633 0 R 633 0 R 633 0 R 633 0 R 633 0 R 633 0 R 631 0 R 632 0 R 627 0 R 624 0 R 626 0 R 626 0 R 626 0 R 626 0 R 626 0 R 624 0 R 625 0 R 625 0 R 625 0 R 624 0 R 623 0 R 623 0 R 623 0 R 623 0 R 623 0 R 623 0 R 623 0 R 623 0 R 623 0 R 623 0 R 619 0 R 618 0 R 618 0 R 618 0 R 618 0 R 618 0 R 618 0 R 618 0 R 615 0 R 613 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 614 0 R 610 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 609 0 R 608 0 R 604 0 R 602 0 R 600 0 R 598 0 R] endobj 11 0 obj -[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] +[595 0 R 593 0 R 592 0 R 592 0 R 592 0 R 592 0 R 592 0 R 592 0 R 592 0 R 592 0 R 592 0 R 592 0 R 589 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 588 0 R 584 0 R 583 0 R 583 0 R 583 0 R 583 0 R 583 0 R 583 0 R 577 0 R 575 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 0 R 576 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 574 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 574 0 R 574 0 R 571 0 R 569 0 R 570 0 R 570 0 R 570 0 R 570 0 R 570 0 R 570 0 R 569 0 R 567 0 R 565 0 R 566 0 R 562 0 R 560 0 R 558 0 R 556 0 R] endobj 12 0 obj -[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] +[553 0 R 552 0 R 551 0 R 551 0 R 551 0 R 551 0 R 551 0 R 548 0 R 546 0 R 547 0 R 546 0 R 543 0 R 543 0 R 543 0 R 543 0 R 543 0 R 543 0 R 543 0 R 543 0 R 543 0 R 543 0 R 542 0 R 540 0 R 541 0 R 540 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 537 0 R 536 0 R 534 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 535 0 R 531 0 R 529 0 R 530 0 R 530 0 R 530 0 R 530 0 R 529 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 525 0 R 524 0 R 522 0 R 520 0 R 518 0 R] endobj 13 0 obj -[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] +[515 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 511 0 R 512 0 R 512 0 R 512 0 R 512 0 R 512 0 R 512 0 R 512 0 R 512 0 R 512 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 510 0 R 509 0 R 507 0 R 505 0 R 503 0 R] endobj 14 0 obj -[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] +[500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 500 0 R 499 0 R 499 0 R 499 0 R 499 0 R 498 0 R 497 0 R 497 0 R 497 0 R 496 0 R 496 0 R 496 0 R 495 0 R 495 0 R 495 0 R 494 0 R 494 0 R 494 0 R 493 0 R 493 0 R 493 0 R 492 0 R 492 0 R 492 0 R 491 0 R 491 0 R 491 0 R 491 0 R 491 0 R 490 0 R 490 0 R 489 0 R 489 0 R 489 0 R 489 0 R 489 0 R 489 0 R 489 0 R 489 0 R 488 0 R 487 0 R 485 0 R 483 0 R 481 0 R] endobj 15 0 obj -[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] +[478 0 R 476 0 R 473 0 R 475 0 R 475 0 R 475 0 R 473 0 R 474 0 R 473 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 472 0 R 469 0 R 466 0 R 468 0 R 466 0 R 467 0 R 467 0 R 467 0 R 467 0 R 467 0 R 466 0 R 462 0 R 459 0 R 461 0 R 459 0 R 460 0 R 460 0 R 460 0 R 460 0 R 460 0 R 456 0 R 453 0 R 455 0 R 455 0 R 455 0 R 455 0 R 455 0 R 453 0 R 454 0 R 454 0 R 454 0 R 454 0 R 454 0 R 454 0 R 454 0 R 454 0 R 454 0 R 453 0 R 450 0 R 448 0 R 446 0 R 444 0 R] endobj 16 0 obj -[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] +[441 0 R 439 0 R 436 0 R 438 0 R 436 0 R 437 0 R 436 0 R 433 0 R 432 0 R 431 0 R 431 0 R 426 0 R 425 0 R 424 0 R 424 0 R 417 0 R 416 0 R 416 0 R 416 0 R 416 0 R 416 0 R 416 0 R 414 0 R 415 0 R 415 0 R 415 0 R 415 0 R 410 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 409 0 R 406 0 R 404 0 R 402 0 R 400 0 R] endobj 17 0 obj -[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] +[397 0 R 394 0 R 395 0 R 395 0 R 395 0 R 395 0 R 395 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 390 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 392 0 R 390 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 387 0 R 387 0 R 386 0 R 386 0 R 386 0 R 386 0 R 385 0 R 385 0 R 385 0 R 385 0 R 384 0 R 382 0 R 380 0 R 378 0 R] endobj 18 0 obj -[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] +[375 0 R 374 0 R 374 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 372 0 R 369 0 R 365 0 R 368 0 R 365 0 R 367 0 R 365 0 R 366 0 R 366 0 R 365 0 R 363 0 R 360 0 R 362 0 R 360 0 R 361 0 R 361 0 R 361 0 R 361 0 R 361 0 R 360 0 R 356 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 355 0 R 352 0 R 350 0 R 351 0 R 351 0 R 351 0 R 351 0 R 350 0 R 347 0 R 345 0 R 343 0 R 341 0 R] endobj 19 0 obj -[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] +[338 0 R 337 0 R 337 0 R 336 0 R 333 0 R 335 0 R 335 0 R 333 0 R 334 0 R 334 0 R 334 0 R 334 0 R 333 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 329 0 R 328 0 R 328 0 R 328 0 R 324 0 R 326 0 R 326 0 R 324 0 R 325 0 R 325 0 R 325 0 R 324 0 R 322 0 R 318 0 R 321 0 R 321 0 R 321 0 R 321 0 R 318 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 318 0 R 319 0 R 319 0 R 319 0 R 318 0 R 315 0 R 313 0 R 311 0 R 309 0 R] endobj 20 0 obj -[165 0 R 165 0 R 165 0 R 164 0 R 162 0 R 160 0 R 158 0 R] +[306 0 R 306 0 R 306 0 R 305 0 R 303 0 R 301 0 R 299 0 R] endobj 21 0 obj -[155 0 R 154 0 R 152 0 R 150 0 R 148 0 R] +[296 0 R 295 0 R 293 0 R 291 0 R 289 0 R] endobj 22 0 obj -[145 0 R 145 0 R 145 0 R 144 0 R 142 0 R 140 0 R 138 0 R] +[286 0 R 286 0 R 286 0 R 285 0 R 283 0 R 281 0 R 279 0 R] endobj 23 0 obj -[135 0 R 135 0 R 134 0 R 132 0 R 130 0 R 128 0 R] +[276 0 R 276 0 R 275 0 R 273 0 R 271 0 R 269 0 R] endobj 24 0 obj -[125 0 R 124 0 R 122 0 R 120 0 R 118 0 R] +[266 0 R 265 0 R 263 0 R 261 0 R 259 0 R] endobj 25 0 obj -[115 0 R 115 0 R 114 0 R 112 0 R 110 0 R 108 0 R] +[256 0 R 256 0 R 255 0 R 253 0 R 251 0 R 249 0 R] endobj 26 0 obj -[105 0 R 104 0 R 102 0 R 100 0 R 98 0 R] +[246 0 R 245 0 R 243 0 R 241 0 R 239 0 R] endobj 27 0 obj -[95 0 R 95 0 R 94 0 R 92 0 R 90 0 R 88 0 R] +[236 0 R 236 0 R 235 0 R 233 0 R 231 0 R 229 0 R] endobj 28 0 obj -[85 0 R 85 0 R 84 0 R 82 0 R 80 0 R 78 0 R] +[226 0 R 226 0 R 225 0 R 223 0 R 221 0 R 219 0 R] endobj 29 0 obj -[75 0 R 74 0 R 73 0 R 72 0 R 70 0 R 68 0 R 66 0 R] +[216 0 R 215 0 R 214 0 R 213 0 R 211 0 R 209 0 R 207 0 R] endobj 30 0 obj -[63 0 R 63 0 R 62 0 R 60 0 R 58 0 R 56 0 R] +[204 0 R 204 0 R 203 0 R 201 0 R 199 0 R 197 0 R] endobj 31 0 obj -[53 0 R 53 0 R 52 0 R 50 0 R 48 0 R 46 0 R] +[194 0 R 194 0 R 193 0 R 191 0 R 189 0 R 187 0 R] endobj 32 0 obj -[43 0 R 42 0 R 40 0 R 38 0 R 36 0 R] +[184 0 R 183 0 R 181 0 R 179 0 R 177 0 R] endobj 33 0 obj -<< - /Type /StructElem - /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] ->> +[174 0 R 171 0 R 172 0 R 172 0 R 172 0 R 172 0 R 169 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 169 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 165 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 162 0 R 163 0 R 158 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 152 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 149 0 R 150 0 R 145 0 R 144 0 R 144 0 R 144 0 R 139 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 133 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 126 0 R 126 0 R 125 0 R 125 0 R 124 0 R 124 0 R 123 0 R 123 0 R 122 0 R 122 0 R 121 0 R 121 0 R 119 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R 118 0 R 116 0 R 114 0 R 112 0 R] endobj 34 0 obj -<< - /Type /StructElem - /S /Div - /P 33 0 R - /K [41 0 R 39 0 R 37 0 R 35 0 R] ->> +[109 0 R 108 0 R 108 0 R 106 0 R 106 0 R 106 0 R 103 0 R 102 0 R 101 0 R 99 0 R 97 0 R 95 0 R] endobj 35 0 obj -<< - /Type /StructElem - /S /Div - /P 34 0 R - /K [36 0 R] ->> +[92 0 R 91 0 R 91 0 R 90 0 R 90 0 R 89 0 R 89 0 R 88 0 R 88 0 R 87 0 R 87 0 R 87 0 R 86 0 R 86 0 R 86 0 R 85 0 R 85 0 R 85 0 R 84 0 R 84 0 R 84 0 R 83 0 R 83 0 R 83 0 R 82 0 R 81 0 R 80 0 R 78 0 R 76 0 R 74 0 R] endobj 36 0 obj -<< - /Type /StructElem - /S /Span - /P 35 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 750 0 R ->> +[71 0 R 70 0 R 70 0 R 69 0 R 69 0 R 69 0 R 68 0 R 68 0 R 67 0 R 67 0 R 66 0 R 66 0 R 66 0 R 65 0 R 65 0 R 65 0 R 64 0 R 63 0 R 62 0 R 60 0 R 58 0 R 56 0 R] endobj 37 0 obj -<< - /Type /StructElem - /S /Div - /P 34 0 R - /K [38 0 R] ->> +[53 0 R 52 0 R 50 0 R 47 0 R 45 0 R 43 0 R 41 0 R] endobj 38 0 obj << /Type /StructElem - /S /Span - /P 37 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 750 0 R + /S /Document + /P 2 0 R + /K [796 0 R 795 0 R 794 0 R 793 0 R 792 0 R 770 0 R 761 0 R 760 0 R 751 0 R 750 0 R 737 0 R 728 0 R 727 0 R 718 0 R 717 0 R 708 0 R 695 0 R 689 0 R 680 0 R 679 0 R 670 0 R 657 0 R 651 0 R 650 0 R 649 0 R 648 0 R 647 0 R 646 0 R 637 0 R 636 0 R 629 0 R 621 0 R 616 0 R 605 0 R 596 0 R 595 0 R 590 0 R 579 0 R 572 0 R 563 0 R 554 0 R 553 0 R 549 0 R 544 0 R 543 0 R 538 0 R 537 0 R 526 0 R 525 0 R 516 0 R 515 0 R 514 0 R 513 0 R 511 0 R 510 0 R 501 0 R 500 0 R 499 0 R 498 0 R 497 0 R 496 0 R 495 0 R 494 0 R 493 0 R 492 0 R 491 0 R 490 0 R 489 0 R 488 0 R 479 0 R 478 0 R 470 0 R 464 0 R 457 0 R 451 0 R 442 0 R 441 0 R 434 0 R 419 0 R 412 0 R 407 0 R 398 0 R 397 0 R 388 0 R 387 0 R 386 0 R 385 0 R 376 0 R 375 0 R 370 0 R 358 0 R 353 0 R 348 0 R 339 0 R 338 0 R 337 0 R 331 0 R 330 0 R 316 0 R 307 0 R 306 0 R 297 0 R 296 0 R 287 0 R 286 0 R 277 0 R 276 0 R 267 0 R 266 0 R 257 0 R 256 0 R 247 0 R 246 0 R 237 0 R 236 0 R 227 0 R 226 0 R 217 0 R 216 0 R 215 0 R 214 0 R 205 0 R 204 0 R 195 0 R 194 0 R 185 0 R 184 0 R 175 0 R 174 0 R 166 0 R 127 0 R 126 0 R 125 0 R 124 0 R 123 0 R 122 0 R 121 0 R 119 0 R 110 0 R 109 0 R 104 0 R 103 0 R 102 0 R 93 0 R 92 0 R 91 0 R 90 0 R 89 0 R 88 0 R 87 0 R 86 0 R 85 0 R 84 0 R 83 0 R 82 0 R 81 0 R 72 0 R 71 0 R 70 0 R 69 0 R 68 0 R 67 0 R 66 0 R 65 0 R 64 0 R 63 0 R 54 0 R 53 0 R 48 0 R 39 0 R] >> endobj @@ -215,45 +180,40 @@ endobj << /Type /StructElem /S /Div - /P 34 0 R - /K [40 0 R] + /P 38 0 R + /K [46 0 R 44 0 R 42 0 R 40 0 R] >> endobj 40 0 obj << /Type /StructElem - /S /Span + /S /Div /P 39 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 750 0 R + /K [41 0 R] >> endobj 41 0 obj << /Type /StructElem - /S /Div - /P 34 0 R - /K [42 0 R] + /S /Span + /P 40 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 901 0 R >> endobj 42 0 obj << /Type /StructElem - /S /Span - /P 41 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 750 0 R + /S /Div + /P 39 0 R + /K [43 0 R] >> endobj @@ -261,13 +221,13 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 42 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 750 0 R + /K [5] + /Pg 901 0 R >> endobj @@ -275,54 +235,54 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [51 0 R 49 0 R 47 0 R 45 0 R] + /P 39 0 R + /K [45 0 R] >> endobj 45 0 obj << /Type /StructElem - /S /Div + /S /Span /P 44 0 R - /K [46 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 901 0 R >> endobj 46 0 obj << /Type /StructElem - /S /Span - /P 45 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 748 0 R + /S /Div + /P 39 0 R + /K [47 0 R] >> endobj 47 0 obj << /Type /StructElem - /S /Div - /P 44 0 R - /K [48 0 R] + /S /Span + /P 46 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 901 0 R >> endobj 48 0 obj << /Type /StructElem - /S /Span - /P 47 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 748 0 R + /S /Div + /P 38 0 R + /K [51 0 R 49 0 R] >> endobj @@ -330,7 +290,7 @@ endobj << /Type /StructElem /S /Div - /P 44 0 R + /P 48 0 R /K [50 0 R] >> endobj @@ -338,14 +298,10 @@ endobj 50 0 obj << /Type /StructElem - /S /Span + /S /P /P 49 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 748 0 R + /K [2] + /Pg 901 0 R >> endobj @@ -353,7 +309,7 @@ endobj << /Type /StructElem /S /Div - /P 44 0 R + /P 48 0 R /K [52 0 R] >> endobj @@ -361,14 +317,10 @@ endobj 52 0 obj << /Type /StructElem - /S /Span + /S /P /P 51 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 748 0 R + /K [1] + /Pg 901 0 R >> endobj @@ -376,13 +328,13 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 748 0 R + /K [0] + /Pg 901 0 R >> endobj @@ -390,7 +342,7 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R + /P 38 0 R /K [61 0 R 59 0 R 57 0 R 55 0 R] >> endobj @@ -413,8 +365,8 @@ endobj /O /Layout /Placement /Block >>] - /K [5] - /Pg 746 0 R + /K [21] + /Pg 899 0 R >> endobj @@ -436,8 +388,8 @@ endobj /O /Layout /Placement /Block >>] - /K [4] - /Pg 746 0 R + /K [20] + /Pg 899 0 R >> endobj @@ -459,8 +411,8 @@ endobj /O /Layout /Placement /Block >>] - /K [3] - /Pg 746 0 R + /K [19] + /Pg 899 0 R >> endobj @@ -482,170 +434,189 @@ endobj /O /Layout /Placement /Block >>] - /K [2] - /Pg 746 0 R + /K [18] + /Pg 899 0 R >> endobj 63 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 746 0 R + /K [17] + /Pg 899 0 R >> endobj 64 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [71 0 R 69 0 R 67 0 R 65 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [16] + /Pg 899 0 R >> endobj 65 0 obj << /Type /StructElem - /S /Div - /P 64 0 R - /K [66 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [13 14 15] + /Pg 899 0 R >> endobj 66 0 obj << /Type /StructElem - /S /Span - /P 65 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [6] - /Pg 744 0 R + /K [10 11 12] + /Pg 899 0 R >> endobj 67 0 obj << /Type /StructElem - /S /Div - /P 64 0 R - /K [68 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [8 9] + /Pg 899 0 R >> endobj 68 0 obj << /Type /StructElem - /S /Span - /P 67 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 744 0 R + /K [6 7] + /Pg 899 0 R >> endobj 69 0 obj << /Type /StructElem - /S /Div - /P 64 0 R - /K [70 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5] + /Pg 899 0 R >> endobj 70 0 obj << /Type /StructElem - /S /Span - /P 69 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 744 0 R + /K [1 2] + /Pg 899 0 R >> endobj 71 0 obj << /Type /StructElem - /S /Div - /P 64 0 R - /K [72 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 899 0 R >> endobj 72 0 obj << /Type /StructElem - /S /Span - /P 71 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 744 0 R + /S /Div + /P 38 0 R + /K [79 0 R 77 0 R 75 0 R 73 0 R] >> endobj 73 0 obj << /Type /StructElem - /S /Figure - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 744 0 R + /S /Div + /P 72 0 R + /K [74 0 R] >> endobj 74 0 obj << /Type /StructElem - /S /P - /P 33 0 R - /K [1] - /Pg 744 0 R + /S /Span + /P 73 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [29] + /Pg 897 0 R >> endobj 75 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 744 0 R + /S /Div + /P 72 0 R + /K [76 0 R] >> endobj 76 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [83 0 R 81 0 R 79 0 R 77 0 R] + /S /Span + /P 75 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [28] + /Pg 897 0 R >> endobj @@ -653,7 +624,7 @@ endobj << /Type /StructElem /S /Div - /P 76 0 R + /P 72 0 R /K [78 0 R] >> endobj @@ -667,8 +638,8 @@ endobj /O /Layout /Placement /Block >>] - /K [5] - /Pg 742 0 R + /K [27] + /Pg 897 0 R >> endobj @@ -676,7 +647,7 @@ endobj << /Type /StructElem /S /Div - /P 76 0 R + /P 72 0 R /K [80 0 R] >> endobj @@ -690,132 +661,162 @@ endobj /O /Layout /Placement /Block >>] - /K [4] - /Pg 742 0 R + /K [26] + /Pg 897 0 R >> endobj 81 0 obj << /Type /StructElem - /S /Div - /P 76 0 R - /K [82 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [25] + /Pg 897 0 R >> endobj 82 0 obj << /Type /StructElem - /S /Span - /P 81 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [3] - /Pg 742 0 R + /K [24] + /Pg 897 0 R >> endobj 83 0 obj << /Type /StructElem - /S /Div - /P 76 0 R - /K [84 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [21 22 23] + /Pg 897 0 R >> endobj 84 0 obj << /Type /StructElem - /S /Span - /P 83 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [2] - /Pg 742 0 R + /K [18 19 20] + /Pg 897 0 R >> endobj 85 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 742 0 R + /K [15 16 17] + /Pg 897 0 R >> endobj 86 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [93 0 R 91 0 R 89 0 R 87 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [12 13 14] + /Pg 897 0 R >> endobj 87 0 obj << /Type /StructElem - /S /Div - /P 86 0 R - /K [88 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [9 10 11] + /Pg 897 0 R >> endobj 88 0 obj << /Type /StructElem - /S /Span - /P 87 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 740 0 R + /K [7 8] + /Pg 897 0 R >> endobj 89 0 obj << /Type /StructElem - /S /Div - /P 86 0 R - /K [90 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5 6] + /Pg 897 0 R >> endobj 90 0 obj << /Type /StructElem - /S /Span - /P 89 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 740 0 R + /K [3 4] + /Pg 897 0 R >> endobj 91 0 obj << /Type /StructElem - /S /Div - /P 86 0 R - /K [92 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1 2] + /Pg 897 0 R >> endobj @@ -823,13 +824,13 @@ endobj << /Type /StructElem /S /Span - /P 91 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [3] - /Pg 740 0 R + /K [0] + /Pg 897 0 R >> endobj @@ -837,22 +838,17 @@ endobj << /Type /StructElem /S /Div - /P 86 0 R - /K [94 0 R] + /P 38 0 R + /K [100 0 R 98 0 R 96 0 R 94 0 R] >> endobj 94 0 obj << /Type /StructElem - /S /Span + /S /Div /P 93 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 740 0 R + /K [95 0 R] >> endobj @@ -860,13 +856,13 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 94 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1] - /Pg 740 0 R + /K [11] + /Pg 895 0 R >> endobj @@ -874,123 +870,128 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [103 0 R 101 0 R 99 0 R 97 0 R] + /P 93 0 R + /K [97 0 R] >> endobj 97 0 obj << /Type /StructElem - /S /Div + /S /Span /P 96 0 R - /K [98 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [10] + /Pg 895 0 R >> endobj 98 0 obj << /Type /StructElem - /S /Span - /P 97 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 738 0 R + /S /Div + /P 93 0 R + /K [99 0 R] >> endobj 99 0 obj << /Type /StructElem - /S /Div - /P 96 0 R - /K [100 0 R] + /S /Span + /P 98 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [9] + /Pg 895 0 R >> endobj 100 0 obj << /Type /StructElem - /S /Span - /P 99 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 738 0 R + /S /Div + /P 93 0 R + /K [101 0 R] >> endobj 101 0 obj << /Type /StructElem - /S /Div - /P 96 0 R - /K [102 0 R] + /S /Span + /P 100 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [8] + /Pg 895 0 R >> endobj 102 0 obj << /Type /StructElem - /S /Span - /P 101 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [2] - /Pg 738 0 R + /K [7] + /Pg 895 0 R >> endobj 103 0 obj << /Type /StructElem - /S /Div - /P 96 0 R - /K [104 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 895 0 R >> endobj 104 0 obj << /Type /StructElem - /S /Span - /P 103 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 738 0 R + /S /Div + /P 38 0 R + /K [107 0 R 105 0 R] >> endobj 105 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 738 0 R + /S /Div + /P 104 0 R + /K [106 0 R] >> endobj 106 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [113 0 R 111 0 R 109 0 R 107 0 R] + /S /Formula + /P 105 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3 4 5] + /Pg 895 0 R >> endobj @@ -998,7 +999,7 @@ endobj << /Type /StructElem /S /Div - /P 106 0 R + /P 104 0 R /K [108 0 R] >> endobj @@ -1006,37 +1007,37 @@ endobj 108 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 107 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 736 0 R + /K [1 2] + /Pg 895 0 R >> endobj 109 0 obj << /Type /StructElem - /S /Div - /P 106 0 R - /K [110 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 895 0 R >> endobj 110 0 obj << /Type /StructElem - /S /Span - /P 109 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 736 0 R + /S /Div + /P 38 0 R + /K [117 0 R 115 0 R 113 0 R 111 0 R] >> endobj @@ -1044,7 +1045,7 @@ endobj << /Type /StructElem /S /Div - /P 106 0 R + /P 110 0 R /K [112 0 R] >> endobj @@ -1058,8 +1059,8 @@ endobj /O /Layout /Placement /Block >>] - /K [3] - /Pg 736 0 R + /K [127] + /Pg 893 0 R >> endobj @@ -1067,7 +1068,7 @@ endobj << /Type /StructElem /S /Div - /P 106 0 R + /P 110 0 R /K [114 0 R] >> endobj @@ -1081,31 +1082,31 @@ endobj /O /Layout /Placement /Block >>] - /K [2] - /Pg 736 0 R + /K [126] + /Pg 893 0 R >> endobj 115 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1] - /Pg 736 0 R + /S /Div + /P 110 0 R + /K [116 0 R] >> endobj 116 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [123 0 R 121 0 R 119 0 R 117 0 R] + /S /Span + /P 115 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [125] + /Pg 893 0 R >> endobj @@ -1113,7 +1114,7 @@ endobj << /Type /StructElem /S /Div - /P 116 0 R + /P 110 0 R /K [118 0 R] >> endobj @@ -1127,100 +1128,112 @@ endobj /O /Layout /Placement /Block >>] - /K [4] - /Pg 734 0 R + /K [124] + /Pg 893 0 R >> endobj 119 0 obj << /Type /StructElem - /S /Div - /P 116 0 R - /K [120 0 R] + /S /P + /P 38 0 R + /K [115 120 0 R] + /Pg 893 0 R >> endobj 120 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 119 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 734 0 R + /K [116 117 118 119 120 121 122 123] + /Pg 893 0 R >> endobj 121 0 obj << /Type /StructElem - /S /Div - /P 116 0 R - /K [122 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [113 114] + /Pg 893 0 R >> endobj 122 0 obj << /Type /StructElem - /S /Span - /P 121 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [2] - /Pg 734 0 R + /K [111 112] + /Pg 893 0 R >> endobj 123 0 obj << /Type /StructElem - /S /Div - /P 116 0 R - /K [124 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [109 110] + /Pg 893 0 R >> endobj 124 0 obj << /Type /StructElem - /S /Span - /P 123 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [1] - /Pg 734 0 R + /K [107 108] + /Pg 893 0 R >> endobj 125 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 734 0 R + /K [105 106] + /Pg 893 0 R >> endobj 126 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [133 0 R 131 0 R 129 0 R 127 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [103 104] + /Pg 893 0 R >> endobj @@ -1228,30 +1241,29 @@ endobj << /Type /StructElem /S /Div - /P 126 0 R - /K [128 0 R] + /P 38 0 R + /K [159 0 R 153 0 R 146 0 R 140 0 R 134 0 R 128 0 R] >> endobj 128 0 obj << /Type /StructElem - /S /Span + /S /Div /P 127 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 732 0 R + /K [129 0 R] >> endobj 129 0 obj << /Type /StructElem - /S /Div - /P 126 0 R + /S /L + /P 128 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] /K [130 0 R] >> endobj @@ -1259,22 +1271,17 @@ endobj 130 0 obj << /Type /StructElem - /S /Span + /S /LI /P 129 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 732 0 R + /K [133 0 R 131 0 R] >> endobj 131 0 obj << /Type /StructElem - /S /Div - /P 126 0 R + /S /LBody + /P 130 0 R /K [132 0 R] >> endobj @@ -1282,67 +1289,58 @@ endobj 132 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 131 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 732 0 R + /K [95 96 97 98 99 100 101 102] + /Pg 893 0 R >> endobj 133 0 obj << /Type /StructElem - /S /Div - /P 126 0 R - /K [134 0 R] + /S /Lbl + /P 130 0 R + /K [94] + /Pg 893 0 R >> endobj 134 0 obj << /Type /StructElem - /S /Span - /P 133 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 732 0 R + /S /Div + /P 127 0 R + /K [135 0 R] >> endobj 135 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /L + /P 134 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [0 1] - /Pg 732 0 R + /K [136 0 R] >> endobj 136 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [143 0 R 141 0 R 139 0 R 137 0 R] + /S /LI + /P 135 0 R + /K [139 0 R 137 0 R] >> endobj 137 0 obj << /Type /StructElem - /S /Div + /S /LBody /P 136 0 R /K [138 0 R] >> @@ -1351,45 +1349,41 @@ endobj 138 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 137 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 730 0 R + /K [86 87 88 89 90 91 92 93] + /Pg 893 0 R >> endobj 139 0 obj << /Type /StructElem - /S /Div + /S /Lbl /P 136 0 R - /K [140 0 R] + /K [85] + /Pg 893 0 R >> endobj 140 0 obj << /Type /StructElem - /S /Span - /P 139 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 730 0 R + /S /Div + /P 127 0 R + /K [141 0 R] >> endobj 141 0 obj << /Type /StructElem - /S /Div - /P 136 0 R + /S /L + /P 140 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] /K [142 0 R] >> endobj @@ -1397,22 +1391,17 @@ endobj 142 0 obj << /Type /StructElem - /S /Span + /S /LI /P 141 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 730 0 R + /K [145 0 R 143 0 R] >> endobj 143 0 obj << /Type /StructElem - /S /Div - /P 136 0 R + /S /LBody + /P 142 0 R /K [144 0 R] >> endobj @@ -1420,28 +1409,20 @@ endobj 144 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 143 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 730 0 R + /K [82 83 84] + /Pg 893 0 R >> endobj 145 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2] - /Pg 730 0 R + /S /Lbl + /P 142 0 R + /K [81] + /Pg 893 0 R >> endobj @@ -1449,16 +1430,20 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [153 0 R 151 0 R 149 0 R 147 0 R] + /P 127 0 R + /K [147 0 R] >> endobj 147 0 obj << /Type /StructElem - /S /Div + /S /L /P 146 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] /K [148 0 R] >> endobj @@ -1466,60 +1451,49 @@ endobj 148 0 obj << /Type /StructElem - /S /Span + /S /LI /P 147 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 728 0 R + /K [152 0 R 149 0 R] >> endobj 149 0 obj << /Type /StructElem - /S /Div - /P 146 0 R - /K [150 0 R] + /S /LBody + /P 148 0 R + /K [151 0 R 79 150 0 R] + /Pg 893 0 R >> endobj 150 0 obj << /Type /StructElem - /S /Span + /S /Strong /P 149 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 728 0 R + /K [80] + /Pg 893 0 R >> endobj 151 0 obj << /Type /StructElem - /S /Div - /P 146 0 R - /K [152 0 R] + /S /Formula + /P 149 0 R + /K [66 67 68 69 70 71 72 73 74 75 76 77 78] + /Pg 893 0 R >> endobj 152 0 obj << /Type /StructElem - /S /Span - /P 151 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [2] - /Pg 728 0 R + /S /Lbl + /P 148 0 R + /K [65] + /Pg 893 0 R >> endobj @@ -1527,7 +1501,7 @@ endobj << /Type /StructElem /S /Div - /P 146 0 R + /P 127 0 R /K [154 0 R] >> endobj @@ -1535,60 +1509,51 @@ endobj 154 0 obj << /Type /StructElem - /S /Span + /S /L /P 153 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [1] - /Pg 728 0 R + /K [155 0 R] >> endobj 155 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 728 0 R + /S /LI + /P 154 0 R + /K [158 0 R 156 0 R] >> endobj 156 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [163 0 R 161 0 R 159 0 R 157 0 R] + /S /LBody + /P 155 0 R + /K [157 0 R] >> endobj 157 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 156 0 R - /K [158 0 R] + /K [52 53 54 55 56 57 58 59 60 61 62 63 64] + /Pg 893 0 R >> endobj 158 0 obj << /Type /StructElem - /S /Span - /P 157 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 726 0 R + /S /Lbl + /P 155 0 R + /K [51] + /Pg 893 0 R >> endobj @@ -1596,7 +1561,7 @@ endobj << /Type /StructElem /S /Div - /P 156 0 R + /P 127 0 R /K [160 0 R] >> endobj @@ -1604,74 +1569,62 @@ endobj 160 0 obj << /Type /StructElem - /S /Span + /S /L /P 159 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [5] - /Pg 726 0 R + /K [161 0 R] >> endobj 161 0 obj << /Type /StructElem - /S /Div - /P 156 0 R - /K [162 0 R] + /S /LI + /P 160 0 R + /K [165 0 R 162 0 R] >> endobj 162 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 161 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 726 0 R + /K [164 0 R 49 163 0 R] + /Pg 893 0 R >> endobj 163 0 obj << /Type /StructElem - /S /Div - /P 156 0 R - /K [164 0 R] + /S /Strong + /P 162 0 R + /K [50] + /Pg 893 0 R >> endobj 164 0 obj << /Type /StructElem - /S /Span - /P 163 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 726 0 R + /S /Formula + /P 162 0 R + /K [36 37 38 39 40 41 42 43 44 45 46 47 48] + /Pg 893 0 R >> endobj 165 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2] - /Pg 726 0 R + /S /Lbl + /P 161 0 R + /K [35] + /Pg 893 0 R >> endobj @@ -1679,8 +1632,8 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [173 0 R 171 0 R 169 0 R 167 0 R] + /P 38 0 R + /K [173 0 R 167 0 R] >> endobj @@ -1689,67 +1642,61 @@ endobj /Type /StructElem /S /Div /P 166 0 R - /K [168 0 R] + /K [171 0 R 169 0 R 168 0 R] >> endobj 168 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 167 0 R /A [<< /O /Layout /Placement /Block >>] - /K [94] - /Pg 724 0 R + /K [17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34] + /Pg 893 0 R >> endobj 169 0 obj << /Type /StructElem - /S /Div - /P 166 0 R - /K [170 0 R] + /S /P + /P 167 0 R + /K [6 170 0 R 16] + /Pg 893 0 R >> endobj 170 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 169 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [93] - /Pg 724 0 R + /K [7 8 9 10 11 12 13 14 15] + /Pg 893 0 R >> endobj 171 0 obj << /Type /StructElem - /S /Div - /P 166 0 R - /K [172 0 R] + /S /P + /P 167 0 R + /K [1 172 0 R] + /Pg 893 0 R >> endobj 172 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 171 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [92] - /Pg 724 0 R + /K [2 3 4 5] + /Pg 893 0 R >> endobj @@ -1758,7 +1705,7 @@ endobj /Type /StructElem /S /Div /P 166 0 R - /K [174 0 R] + /K [] >> endobj @@ -1766,132 +1713,145 @@ endobj << /Type /StructElem /S /Span - /P 173 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [91] - /Pg 724 0 R + /K [0] + /Pg 893 0 R >> endobj 175 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [182 0 R 176 0 R] + /S /Div + /P 38 0 R + /K [182 0 R 180 0 R 178 0 R 176 0 R] >> endobj 176 0 obj << /Type /StructElem - /S /LI + /S /Div /P 175 0 R - /K [181 0 R 177 0 R] + /K [177 0 R] >> endobj 177 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 176 0 R - /K [75 180 0 R 80 179 0 R 86 178 0 R 90] - /Pg 724 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 891 0 R >> endobj 178 0 obj << /Type /StructElem - /S /Formula - /P 177 0 R - /K [87 88 89] - /Pg 724 0 R + /S /Div + /P 175 0 R + /K [179 0 R] >> endobj 179 0 obj << /Type /StructElem - /S /Formula - /P 177 0 R - /K [81 82 83 84 85] - /Pg 724 0 R + /S /Span + /P 178 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 891 0 R >> endobj 180 0 obj << /Type /StructElem - /S /Formula - /P 177 0 R - /K [76 77 78 79] - /Pg 724 0 R + /S /Div + /P 175 0 R + /K [181 0 R] >> endobj 181 0 obj << /Type /StructElem - /S /Lbl - /P 176 0 R - /K [74] - /Pg 724 0 R + /S /Span + /P 180 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 891 0 R >> endobj 182 0 obj << /Type /StructElem - /S /LI + /S /Div /P 175 0 R - /K [188 0 R 183 0 R] + /K [183 0 R] >> endobj 183 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 182 0 R - /K [186 0 R 66 185 0 R 69 184 0 R 73] - /Pg 724 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 891 0 R >> endobj 184 0 obj << /Type /StructElem - /S /Formula - /P 183 0 R - /K [70 71 72] - /Pg 724 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 891 0 R >> endobj 185 0 obj << /Type /StructElem - /S /Formula - /P 183 0 R - /K [67 68] - /Pg 724 0 R + /S /Div + /P 38 0 R + /K [192 0 R 190 0 R 188 0 R 186 0 R] >> endobj 186 0 obj << /Type /StructElem - /S /Formula - /P 183 0 R + /S /Div + /P 185 0 R /K [187 0 R] >> endobj @@ -1899,46 +1859,45 @@ endobj 187 0 obj << /Type /StructElem - /S /Strong + /S /Span /P 186 0 R - /K [63 64 65] - /Pg 724 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 889 0 R >> endobj 188 0 obj << /Type /StructElem - /S /Lbl - /P 182 0 R - /K [62] - /Pg 724 0 R + /S /Div + /P 185 0 R + /K [189 0 R] >> endobj 189 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /Span + /P 188 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 + /K [4] + /Pg 889 0 R >> endobj 190 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] + /S /Div + /P 185 0 R /K [191 0 R] >> endobj @@ -1946,63 +1905,69 @@ endobj 191 0 obj << /Type /StructElem - /S /LI + /S /Span /P 190 0 R - /K [195 0 R 192 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 889 0 R >> endobj 192 0 obj << /Type /StructElem - /S /LBody - /P 191 0 R - /K [4 194 0 R 7 193 0 R 12] - /Pg 724 0 R + /S /Div + /P 185 0 R + /K [193 0 R] >> endobj 193 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 192 0 R - /K [8 9 10 11] - /Pg 724 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 889 0 R >> endobj 194 0 obj << /Type /StructElem - /S /Formula - /P 192 0 R - /K [5 6] - /Pg 724 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1] + /Pg 889 0 R >> endobj 195 0 obj << /Type /StructElem - /S /Lbl - /P 191 0 R - /K [3] - /Pg 724 0 R + /S /Div + /P 38 0 R + /K [202 0 R 200 0 R 198 0 R 196 0 R] >> endobj 196 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1 2] - /Pg 724 0 R + /S /Div + /P 195 0 R + /K [197 0 R] >> endobj @@ -2010,13 +1975,13 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 196 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 724 0 R + /K [5] + /Pg 887 0 R >> endobj @@ -2024,63 +1989,68 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [205 0 R 203 0 R 201 0 R 199 0 R] + /P 195 0 R + /K [199 0 R] >> endobj 199 0 obj << /Type /StructElem - /S /Div + /S /Span /P 198 0 R - /K [200 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 887 0 R >> endobj 200 0 obj << /Type /StructElem - /S /Span - /P 199 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [80] - /Pg 722 0 R + /S /Div + /P 195 0 R + /K [201 0 R] >> endobj 201 0 obj << /Type /StructElem - /S /Div - /P 198 0 R - /K [202 0 R] + /S /Span + /P 200 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 887 0 R >> endobj 202 0 obj << /Type /StructElem - /S /Span - /P 201 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [79] - /Pg 722 0 R + /S /Div + /P 195 0 R + /K [203 0 R] >> endobj 203 0 obj << /Type /StructElem - /S /Div - /P 198 0 R - /K [204 0 R] + /S /Span + /P 202 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 887 0 R >> endobj @@ -2088,13 +2058,13 @@ endobj << /Type /StructElem /S /Span - /P 203 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [78] - /Pg 722 0 R + /K [0 1] + /Pg 887 0 R >> endobj @@ -2102,74 +2072,77 @@ endobj << /Type /StructElem /S /Div - /P 198 0 R - /K [206 0 R] + /P 38 0 R + /K [212 0 R 210 0 R 208 0 R 206 0 R] >> endobj 206 0 obj << /Type /StructElem - /S /Span + /S /Div /P 205 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [77] - /Pg 722 0 R + /K [207 0 R] >> endobj 207 0 obj << /Type /StructElem - /S /L - /P 33 0 R + /S /Span + /P 206 0 R /A [<< - /O /List - /ListNumbering /Circle + /O /Layout + /Placement /Block >>] - /K [208 0 R] + /K [6] + /Pg 885 0 R >> endobj 208 0 obj << /Type /StructElem - /S /LI - /P 207 0 R - /K [211 0 R 209 0 R] + /S /Div + /P 205 0 R + /K [209 0 R] >> endobj 209 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 208 0 R - /K [71 210 0 R 76] - /Pg 722 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 885 0 R >> endobj 210 0 obj << /Type /StructElem - /S /Formula - /P 209 0 R - /K [72 73 74 75] - /Pg 722 0 R + /S /Div + /P 205 0 R + /K [211 0 R] >> endobj 211 0 obj << /Type /StructElem - /S /Lbl - /P 208 0 R - /K [70] - /Pg 722 0 R + /S /Span + /P 210 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 885 0 R >> endobj @@ -2177,31 +2150,36 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [216 0 R 213 0 R] + /P 205 0 R + /K [213 0 R] >> endobj 213 0 obj << /Type /StructElem - /S /Div + /S /Span /P 212 0 R - /K [215 0 R 214 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 885 0 R >> endobj 214 0 obj << /Type /StructElem - /S /Formula - /P 213 0 R + /S /Figure + /P 38 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 + /K [2] + /Pg 885 0 R >> endobj @@ -2209,148 +2187,170 @@ endobj << /Type /StructElem /S /P - /P 213 0 R - /K [42] - /Pg 722 0 R + /P 38 0 R + /K [1] + /Pg 885 0 R >> endobj 216 0 obj << /Type /StructElem - /S /Div - /P 212 0 R - /K [] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 885 0 R >> endobj 217 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [223 0 R 218 0 R] + /S /Div + /P 38 0 R + /K [224 0 R 222 0 R 220 0 R 218 0 R] >> endobj 218 0 obj << /Type /StructElem - /S /LI + /S /Div /P 217 0 R - /K [222 0 R 219 0 R] + /K [219 0 R] >> endobj 219 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 218 0 R - /K [33 221 0 R 35 220 0 R 41] - /Pg 722 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 883 0 R >> endobj 220 0 obj << /Type /StructElem - /S /Formula - /P 219 0 R - /K [36 37 38 39 40] - /Pg 722 0 R + /S /Div + /P 217 0 R + /K [221 0 R] >> endobj 221 0 obj << /Type /StructElem - /S /Formula - /P 219 0 R - /K [34] - /Pg 722 0 R + /S /Span + /P 220 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 883 0 R >> endobj 222 0 obj << /Type /StructElem - /S /Lbl - /P 218 0 R - /K [32] - /Pg 722 0 R + /S /Div + /P 217 0 R + /K [223 0 R] >> endobj 223 0 obj << /Type /StructElem - /S /LI - /P 217 0 R - /K [228 0 R 224 0 R] + /S /Span + /P 222 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 883 0 R >> endobj 224 0 obj << /Type /StructElem - /S /LBody - /P 223 0 R - /K [24 227 0 R 26 226 0 R 28 225 0 R 31] - /Pg 722 0 R + /S /Div + /P 217 0 R + /K [225 0 R] >> endobj 225 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 224 0 R - /K [29 30] - /Pg 722 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 883 0 R >> endobj 226 0 obj << /Type /StructElem - /S /Formula - /P 224 0 R - /K [27] - /Pg 722 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1] + /Pg 883 0 R >> endobj 227 0 obj << /Type /StructElem - /S /Formula - /P 224 0 R - /K [25] - /Pg 722 0 R + /S /Div + /P 38 0 R + /K [234 0 R 232 0 R 230 0 R 228 0 R] >> endobj 228 0 obj << /Type /StructElem - /S /Lbl - /P 223 0 R - /K [23] - /Pg 722 0 R + /S /Div + /P 227 0 R + /K [229 0 R] >> endobj 229 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [232 0 R 230 0 R] + /S /Span + /P 228 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 881 0 R >> endobj @@ -2358,7 +2358,7 @@ endobj << /Type /StructElem /S /Div - /P 229 0 R + /P 227 0 R /K [231 0 R] >> endobj @@ -2366,14 +2366,14 @@ endobj 231 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 230 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 + /K [4] + /Pg 881 0 R >> endobj @@ -2381,7 +2381,7 @@ endobj << /Type /StructElem /S /Div - /P 229 0 R + /P 227 0 R /K [233 0 R] >> endobj @@ -2389,60 +2389,60 @@ endobj 233 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 232 0 R /A [<< /O /Layout /Placement /Block >>] - /K [1 2] - /Pg 722 0 R + /K [3] + /Pg 881 0 R >> endobj 234 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 722 0 R + /S /Div + /P 227 0 R + /K [235 0 R] >> endobj 235 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [242 0 R 240 0 R 238 0 R 236 0 R] + /S /Span + /P 234 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 881 0 R >> endobj 236 0 obj << /Type /StructElem - /S /Div - /P 235 0 R - /K [237 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1] + /Pg 881 0 R >> endobj 237 0 obj << /Type /StructElem - /S /Span - /P 236 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [50] - /Pg 720 0 R + /S /Div + /P 38 0 R + /K [244 0 R 242 0 R 240 0 R 238 0 R] >> endobj @@ -2450,7 +2450,7 @@ endobj << /Type /StructElem /S /Div - /P 235 0 R + /P 237 0 R /K [239 0 R] >> endobj @@ -2464,8 +2464,8 @@ endobj /O /Layout /Placement /Block >>] - /K [49] - /Pg 720 0 R + /K [4] + /Pg 879 0 R >> endobj @@ -2473,7 +2473,7 @@ endobj << /Type /StructElem /S /Div - /P 235 0 R + /P 237 0 R /K [241 0 R] >> endobj @@ -2487,8 +2487,8 @@ endobj /O /Layout /Placement /Block >>] - /K [48] - /Pg 720 0 R + /K [3] + /Pg 879 0 R >> endobj @@ -2496,7 +2496,7 @@ endobj << /Type /StructElem /S /Div - /P 235 0 R + /P 237 0 R /K [243 0 R] >> endobj @@ -2510,50 +2510,45 @@ endobj /O /Layout /Placement /Block >>] - /K [47] - /Pg 720 0 R + /K [2] + /Pg 879 0 R >> endobj 244 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [43 44 45 46] - /Pg 720 0 R + /S /Div + /P 237 0 R + /K [245 0 R] >> endobj 245 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /Span + /P 244 0 R /A [<< /O /Layout /Placement /Block >>] - /K [39 40 41 42] - /Pg 720 0 R + /K [1] + /Pg 879 0 R >> endobj 246 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /Span + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [37 38] - /Pg 720 0 R + /K [0] + /Pg 879 0 R >> endobj @@ -2561,8 +2556,8 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [255 0 R 248 0 R] + /P 38 0 R + /K [254 0 R 252 0 R 250 0 R 248 0 R] >> endobj @@ -2571,76 +2566,90 @@ endobj /Type /StructElem /S /Div /P 247 0 R - /K [253 0 R 249 0 R] + /K [249 0 R] >> endobj 249 0 obj << /Type /StructElem - /S /P + /S /Span /P 248 0 R - /K [252 0 R 14 251 0 R 27 250 0 R] - /Pg 720 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 877 0 R >> endobj 250 0 obj << /Type /StructElem - /S /Formula - /P 249 0 R - /K [28 29 30 31 32 33 34 35 36] - /Pg 720 0 R + /S /Div + /P 247 0 R + /K [251 0 R] >> endobj 251 0 obj << /Type /StructElem - /S /Formula - /P 249 0 R - /K [15 16 17 18 19 20 21 22 23 24 25 26] - /Pg 720 0 R + /S /Span + /P 250 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 877 0 R >> endobj 252 0 obj << /Type /StructElem - /S /Formula - /P 249 0 R - /K [7 8 9 10 11 12 13] - /Pg 720 0 R + /S /Div + /P 247 0 R + /K [253 0 R] >> endobj 253 0 obj << /Type /StructElem - /S /P - /P 248 0 R - /K [1 254 0 R] - /Pg 720 0 R + /S /Span + /P 252 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 877 0 R >> endobj 254 0 obj << /Type /StructElem - /S /Formula - /P 253 0 R - /K [2 3 4 5 6] - /Pg 720 0 R + /S /Div + /P 247 0 R + /K [255 0 R] >> endobj 255 0 obj << /Type /StructElem - /S /Div - /P 247 0 R - /K [] + /S /Span + /P 254 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 877 0 R >> endobj @@ -2648,13 +2657,13 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 720 0 R + /K [0 1] + /Pg 877 0 R >> endobj @@ -2662,7 +2671,7 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R + /P 38 0 R /K [264 0 R 262 0 R 260 0 R 258 0 R] >> endobj @@ -2685,8 +2694,8 @@ endobj /O /Layout /Placement /Block >>] - /K [45] - /Pg 718 0 R + /K [4] + /Pg 875 0 R >> endobj @@ -2708,8 +2717,8 @@ endobj /O /Layout /Placement /Block >>] - /K [44] - /Pg 718 0 R + /K [3] + /Pg 875 0 R >> endobj @@ -2731,8 +2740,8 @@ endobj /O /Layout /Placement /Block >>] - /K [43] - /Pg 718 0 R + /K [2] + /Pg 875 0 R >> endobj @@ -2754,17 +2763,22 @@ endobj /O /Layout /Placement /Block >>] - /K [42] - /Pg 718 0 R + /K [1] + /Pg 875 0 R >> endobj 266 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [270 0 R 267 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 875 0 R >> endobj @@ -2772,32 +2786,31 @@ endobj << /Type /StructElem /S /Div - /P 266 0 R - /K [269 0 R 268 0 R] + /P 38 0 R + /K [274 0 R 272 0 R 270 0 R 268 0 R] >> endobj 268 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 267 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 + /K [269 0 R] >> endobj 269 0 obj << /Type /StructElem - /S /P - /P 267 0 R - /K [27] - /Pg 718 0 R + /S /Span + /P 268 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 873 0 R >> endobj @@ -2805,17 +2818,22 @@ endobj << /Type /StructElem /S /Div - /P 266 0 R - /K [] + /P 267 0 R + /K [271 0 R] >> endobj 271 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [277 0 R 272 0 R] + /S /Span + /P 270 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 873 0 R >> endobj @@ -2823,48 +2841,59 @@ endobj << /Type /StructElem /S /Div - /P 271 0 R - /K [276 0 R 273 0 R] + /P 267 0 R + /K [273 0 R] >> endobj 273 0 obj << /Type /StructElem - /S /P + /S /Span /P 272 0 R - /K [275 0 R 22 274 0 R] - /Pg 718 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 873 0 R >> endobj 274 0 obj << /Type /StructElem - /S /Formula - /P 273 0 R - /K [23 24 25 26] - /Pg 718 0 R + /S /Div + /P 267 0 R + /K [275 0 R] >> endobj 275 0 obj << /Type /StructElem - /S /Formula - /P 273 0 R - /K [16 17 18 19 20 21] - /Pg 718 0 R + /S /Span + /P 274 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 873 0 R >> endobj 276 0 obj << /Type /StructElem - /S /P - /P 272 0 R - /K [15] - /Pg 718 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1] + /Pg 873 0 R >> endobj @@ -2872,38 +2901,39 @@ endobj << /Type /StructElem /S /Div - /P 271 0 R - /K [] + /P 38 0 R + /K [284 0 R 282 0 R 280 0 R 278 0 R] >> endobj 278 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [286 0 R 279 0 R] + /S /Div + /P 277 0 R + /K [279 0 R] >> endobj 279 0 obj << /Type /StructElem - /S /LI + /S /Span /P 278 0 R - /K [285 0 R 280 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 871 0 R >> endobj 280 0 obj << /Type /StructElem - /S /LBody - /P 279 0 R + /S /Div + /P 277 0 R /K [281 0 R] >> endobj @@ -2911,17 +2941,22 @@ endobj 281 0 obj << /Type /StructElem - /S /P + /S /Span /P 280 0 R - /K [284 0 R 282 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 871 0 R >> endobj 282 0 obj << /Type /StructElem - /S /Formula - /P 281 0 R + /S /Div + /P 277 0 R /K [283 0 R] >> endobj @@ -2929,105 +2964,129 @@ endobj 283 0 obj << /Type /StructElem - /S /Strong + /S /Span /P 282 0 R - /K [13 14] - /Pg 718 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 871 0 R >> endobj 284 0 obj << /Type /StructElem - /S /Strong - /P 281 0 R - /K [12] - /Pg 718 0 R + /S /Div + /P 277 0 R + /K [285 0 R] >> endobj 285 0 obj << /Type /StructElem - /S /Lbl - /P 279 0 R - /K [11] - /Pg 718 0 R + /S /Span + /P 284 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 871 0 R >> endobj 286 0 obj << /Type /StructElem - /S /LI - /P 278 0 R - /K [292 0 R 287 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2] + /Pg 871 0 R >> endobj 287 0 obj << /Type /StructElem - /S /LBody - /P 286 0 R - /K [288 0 R] + /S /Div + /P 38 0 R + /K [294 0 R 292 0 R 290 0 R 288 0 R] >> endobj 288 0 obj << /Type /StructElem - /S /P + /S /Div /P 287 0 R - /K [291 0 R 289 0 R] + /K [289 0 R] >> endobj 289 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 288 0 R - /K [290 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4] + /Pg 869 0 R >> endobj 290 0 obj << /Type /StructElem - /S /Strong - /P 289 0 R - /K [9 10] - /Pg 718 0 R + /S /Div + /P 287 0 R + /K [291 0 R] >> endobj 291 0 obj << /Type /StructElem - /S /Strong - /P 288 0 R - /K [8] - /Pg 718 0 R + /S /Span + /P 290 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 869 0 R >> endobj 292 0 obj << /Type /StructElem - /S /Lbl - /P 286 0 R - /K [7] - /Pg 718 0 R + /S /Div + /P 287 0 R + /K [293 0 R] >> endobj 293 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [299 0 R 294 0 R] + /S /Span + /P 292 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2] + /Pg 869 0 R >> endobj @@ -3035,80 +3094,91 @@ endobj << /Type /StructElem /S /Div - /P 293 0 R - /K [298 0 R 295 0 R] + /P 287 0 R + /K [295 0 R] >> endobj 295 0 obj << /Type /StructElem - /S /P + /S /Span /P 294 0 R - /K [2 297 0 R 4 296 0 R 6] - /Pg 718 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 869 0 R >> endobj 296 0 obj << /Type /StructElem - /S /Strong - /P 295 0 R - /K [5] - /Pg 718 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 869 0 R >> endobj 297 0 obj << /Type /StructElem - /S /Formula - /P 295 0 R - /K [3] - /Pg 718 0 R + /S /Div + /P 38 0 R + /K [304 0 R 302 0 R 300 0 R 298 0 R] >> endobj 298 0 obj << /Type /StructElem - /S /P - /P 294 0 R - /K [1] - /Pg 718 0 R + /S /Div + /P 297 0 R + /K [299 0 R] >> endobj 299 0 obj << /Type /StructElem - /S /Div - /P 293 0 R - /K [] + /S /Span + /P 298 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 867 0 R >> endobj 300 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 718 0 R + /S /Div + /P 297 0 R + /K [301 0 R] >> endobj 301 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [308 0 R 306 0 R 304 0 R 302 0 R] + /S /Span + /P 300 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [5] + /Pg 867 0 R >> endobj @@ -3116,7 +3186,7 @@ endobj << /Type /StructElem /S /Div - /P 301 0 R + /P 297 0 R /K [303 0 R] >> endobj @@ -3130,8 +3200,8 @@ endobj /O /Layout /Placement /Block >>] - /K [64] - /Pg 716 0 R + /K [4] + /Pg 867 0 R >> endobj @@ -3139,7 +3209,7 @@ endobj << /Type /StructElem /S /Div - /P 301 0 R + /P 297 0 R /K [305 0 R] >> endobj @@ -3153,31 +3223,31 @@ endobj /O /Layout /Placement /Block >>] - /K [63] - /Pg 716 0 R + /K [3] + /Pg 867 0 R >> endobj 306 0 obj << /Type /StructElem - /S /Div - /P 301 0 R - /K [307 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2] + /Pg 867 0 R >> endobj 307 0 obj << /Type /StructElem - /S /Span - /P 306 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [62] - /Pg 716 0 R + /S /Div + /P 38 0 R + /K [314 0 R 312 0 R 310 0 R 308 0 R] >> endobj @@ -3185,7 +3255,7 @@ endobj << /Type /StructElem /S /Div - /P 301 0 R + /P 307 0 R /K [309 0 R] >> endobj @@ -3199,20 +3269,16 @@ endobj /O /Layout /Placement /Block >>] - /K [61] - /Pg 716 0 R + /K [94] + /Pg 865 0 R >> endobj 310 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] + /S /Div + /P 307 0 R /K [311 0 R] >> endobj @@ -3220,77 +3286,92 @@ endobj 311 0 obj << /Type /StructElem - /S /LI + /S /Span /P 310 0 R - /K [315 0 R 312 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [93] + /Pg 865 0 R >> endobj 312 0 obj << /Type /StructElem - /S /LBody - /P 311 0 R - /K [44 314 0 R 50 313 0 R 60] - /Pg 716 0 R + /S /Div + /P 307 0 R + /K [313 0 R] >> endobj 313 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 312 0 R - /K [51 52 53 54 55 56 57 58 59] - /Pg 716 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [92] + /Pg 865 0 R >> endobj 314 0 obj << /Type /StructElem - /S /Formula - /P 312 0 R - /K [45 46 47 48 49] - /Pg 716 0 R + /S /Div + /P 307 0 R + /K [315 0 R] >> endobj 315 0 obj << /Type /StructElem - /S /Lbl - /P 311 0 R - /K [43] - /Pg 716 0 R + /S /Span + /P 314 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [91] + /Pg 865 0 R >> endobj 316 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [322 0 R 317 0 R] + /S /L + /P 38 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [323 0 R 317 0 R] >> endobj 317 0 obj << /Type /StructElem - /S /Div + /S /LI /P 316 0 R - /K [321 0 R 318 0 R] + /K [322 0 R 318 0 R] >> endobj 318 0 obj << /Type /StructElem - /S /P + /S /LBody /P 317 0 R - /K [35 320 0 R 37 319 0 R] - /Pg 716 0 R + /K [75 321 0 R 80 320 0 R 86 319 0 R 90] + /Pg 865 0 R >> endobj @@ -3299,8 +3380,8 @@ endobj /Type /StructElem /S /Formula /P 318 0 R - /K [38 39 40 41 42] - /Pg 716 0 R + /K [87 88 89] + /Pg 865 0 R >> endobj @@ -3309,59 +3390,57 @@ endobj /Type /StructElem /S /Formula /P 318 0 R - /K [36] - /Pg 716 0 R + /K [81 82 83 84 85] + /Pg 865 0 R >> endobj 321 0 obj << /Type /StructElem - /S /P - /P 317 0 R - /K [34] - /Pg 716 0 R + /S /Formula + /P 318 0 R + /K [76 77 78 79] + /Pg 865 0 R >> endobj 322 0 obj << /Type /StructElem - /S /Div - /P 316 0 R - /K [] + /S /Lbl + /P 317 0 R + /K [74] + /Pg 865 0 R >> endobj 323 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [324 0 R] + /S /LI + /P 316 0 R + /K [329 0 R 324 0 R] >> endobj 324 0 obj << /Type /StructElem - /S /LI + /S /LBody /P 323 0 R - /K [328 0 R 325 0 R] + /K [327 0 R 66 326 0 R 69 325 0 R 73] + /Pg 865 0 R >> endobj 325 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 324 0 R - /K [25 327 0 R 27 326 0 R 33] - /Pg 716 0 R + /K [70 71 72] + /Pg 865 0 R >> endobj @@ -3369,9 +3448,9 @@ endobj << /Type /StructElem /S /Formula - /P 325 0 R - /K [28 29 30 31 32] - /Pg 716 0 R + /P 324 0 R + /K [67 68] + /Pg 865 0 R >> endobj @@ -3379,71 +3458,74 @@ endobj << /Type /StructElem /S /Formula - /P 325 0 R - /K [26] - /Pg 716 0 R + /P 324 0 R + /K [328 0 R] >> endobj 328 0 obj << /Type /StructElem - /S /Lbl - /P 324 0 R - /K [24] - /Pg 716 0 R + /S /Strong + /P 327 0 R + /K [63 64 65] + /Pg 865 0 R >> endobj 329 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [336 0 R 330 0 R] + /S /Lbl + /P 323 0 R + /K [62] + /Pg 865 0 R >> endobj 330 0 obj << /Type /StructElem - /S /Div - /P 329 0 R - /K [335 0 R 332 0 R 331 0 R] + /S /Formula + /P 38 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 865 0 R >> endobj 331 0 obj << /Type /StructElem - /S /Formula - /P 330 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [9 10 11 12 13 14 15 16 17 18 19 20 21 22 23] - /Pg 716 0 R + /K [332 0 R] >> endobj 332 0 obj << /Type /StructElem - /S /P - /P 330 0 R - /K [2 334 0 R 6 333 0 R 8] - /Pg 716 0 R + /S /LI + /P 331 0 R + /K [336 0 R 333 0 R] >> endobj 333 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 332 0 R - /K [7] - /Pg 716 0 R + /K [4 335 0 R 7 334 0 R 12] + /Pg 865 0 R >> endobj @@ -3451,51 +3533,57 @@ endobj << /Type /StructElem /S /Formula - /P 332 0 R - /K [3 4 5] - /Pg 716 0 R + /P 333 0 R + /K [8 9 10 11] + /Pg 865 0 R >> endobj 335 0 obj << /Type /StructElem - /S /P - /P 330 0 R - /K [1] - /Pg 716 0 R + /S /Formula + /P 333 0 R + /K [5 6] + /Pg 865 0 R >> endobj 336 0 obj << /Type /StructElem - /S /Div - /P 329 0 R - /K [] + /S /Lbl + /P 332 0 R + /K [3] + /Pg 865 0 R >> endobj 337 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 716 0 R + /K [1 2] + /Pg 865 0 R >> endobj 338 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [345 0 R 343 0 R 341 0 R 339 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 865 0 R >> endobj @@ -3503,91 +3591,86 @@ endobj << /Type /StructElem /S /Div - /P 338 0 R - /K [340 0 R] + /P 38 0 R + /K [346 0 R 344 0 R 342 0 R 340 0 R] >> endobj 340 0 obj << /Type /StructElem - /S /Span + /S /Div /P 339 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [54] - /Pg 714 0 R + /K [341 0 R] >> endobj 341 0 obj << /Type /StructElem - /S /Div - /P 338 0 R - /K [342 0 R] + /S /Span + /P 340 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [80] + /Pg 863 0 R >> endobj 342 0 obj << /Type /StructElem - /S /Span - /P 341 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [53] - /Pg 714 0 R + /S /Div + /P 339 0 R + /K [343 0 R] >> endobj 343 0 obj << /Type /StructElem - /S /Div - /P 338 0 R - /K [344 0 R] + /S /Span + /P 342 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [79] + /Pg 863 0 R >> endobj 344 0 obj << /Type /StructElem - /S /Span - /P 343 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [52] - /Pg 714 0 R + /S /Div + /P 339 0 R + /K [345 0 R] >> endobj 345 0 obj << /Type /StructElem - /S /Div - /P 338 0 R - /K [346 0 R] + /S /Span + /P 344 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [78] + /Pg 863 0 R >> endobj 346 0 obj << /Type /StructElem - /S /Span - /P 345 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [51] - /Pg 714 0 R + /S /Div + /P 339 0 R + /K [347 0 R] >> endobj @@ -3595,111 +3678,83 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 346 0 R /A [<< /O /Layout /Placement /Block >>] - /K [50] - /Pg 714 0 R + /K [77] + /Pg 863 0 R >> endobj 348 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [42 43 44 45 46 47 48 49] - /Pg 714 0 R + /K [349 0 R] >> endobj 349 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [40 41] - /Pg 714 0 R + /S /LI + /P 348 0 R + /K [352 0 R 350 0 R] >> endobj 350 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [35 36 37 38 39] - /Pg 714 0 R + /S /LBody + /P 349 0 R + /K [71 351 0 R 76] + /Pg 863 0 R >> endobj 351 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [32 33 34] - /Pg 714 0 R + /S /Formula + /P 350 0 R + /K [72 73 74 75] + /Pg 863 0 R >> endobj 352 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [29 30 31] - /Pg 714 0 R + /S /Lbl + /P 349 0 R + /K [70] + /Pg 863 0 R >> endobj 353 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [26 27 28] - /Pg 714 0 R + /S /Div + /P 38 0 R + /K [357 0 R 354 0 R] >> endobj 354 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [23 24 25] - /Pg 714 0 R + /S /Div + /P 353 0 R + /K [356 0 R 355 0 R] >> endobj @@ -3707,204 +3762,171 @@ endobj << /Type /StructElem /S /Formula - /P 33 0 R + /P 354 0 R /A [<< /O /Layout /Placement /Block >>] - /K [20 21 22] - /Pg 714 0 R + /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 863 0 R >> endobj 356 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [17 18 19] - /Pg 714 0 R + /S /P + /P 354 0 R + /K [42] + /Pg 863 0 R >> endobj 357 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [16] - /Pg 714 0 R + /S /Div + /P 353 0 R + /K [] >> endobj 358 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [12 13 14 15] - /Pg 714 0 R + /K [364 0 R 359 0 R] >> endobj 359 0 obj << /Type /StructElem - /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 + /S /LI + /P 358 0 R + /K [363 0 R 360 0 R] >> endobj 360 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [367 0 R 365 0 R 363 0 R 361 0 R] + /S /LBody + /P 359 0 R + /K [33 362 0 R 35 361 0 R 41] + /Pg 863 0 R >> endobj 361 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 360 0 R - /K [362 0 R] + /K [36 37 38 39 40] + /Pg 863 0 R >> endobj 362 0 obj << /Type /StructElem - /S /Span - /P 361 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [99] - /Pg 712 0 R + /S /Formula + /P 360 0 R + /K [34] + /Pg 863 0 R >> endobj 363 0 obj << /Type /StructElem - /S /Div - /P 360 0 R - /K [364 0 R] + /S /Lbl + /P 359 0 R + /K [32] + /Pg 863 0 R >> endobj 364 0 obj << /Type /StructElem - /S /Span - /P 363 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [98] - /Pg 712 0 R + /S /LI + /P 358 0 R + /K [369 0 R 365 0 R] >> endobj 365 0 obj << /Type /StructElem - /S /Div - /P 360 0 R - /K [366 0 R] + /S /LBody + /P 364 0 R + /K [24 368 0 R 26 367 0 R 28 366 0 R 31] + /Pg 863 0 R >> endobj 366 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 365 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [97] - /Pg 712 0 R + /K [29 30] + /Pg 863 0 R >> endobj 367 0 obj << /Type /StructElem - /S /Div - /P 360 0 R - /K [368 0 R] + /S /Formula + /P 365 0 R + /K [27] + /Pg 863 0 R >> endobj 368 0 obj << /Type /StructElem - /S /Span - /P 367 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [96] - /Pg 712 0 R + /S /Formula + /P 365 0 R + /K [25] + /Pg 863 0 R >> endobj 369 0 obj << /Type /StructElem - /S /Formula - /P 33 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 712 0 R + /S /Lbl + /P 364 0 R + /K [23] + /Pg 863 0 R >> endobj 370 0 obj << /Type /StructElem - /S /P - /P 33 0 R - /K [21 371 0 R] - /Pg 712 0 R + /S /Div + /P 38 0 R + /K [373 0 R 371 0 R] >> endobj 371 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 370 0 R - /K [22 23 24 25 26 27 28 29 30] - /Pg 712 0 R + /K [372 0 R] >> endobj @@ -3912,46 +3934,50 @@ endobj << /Type /StructElem /S /Formula - /P 33 0 R + /P 371 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 + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22] + /Pg 863 0 R >> endobj 373 0 obj << /Type /StructElem - /S /P - /P 33 0 R - /K [1] - /Pg 712 0 R + /S /Div + /P 370 0 R + /K [374 0 R] >> endobj 374 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /Formula + /P 373 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 712 0 R + /K [1 2] + /Pg 863 0 R >> endobj 375 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [382 0 R 380 0 R 378 0 R 376 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 863 0 R >> endobj @@ -3959,306 +3985,306 @@ endobj << /Type /StructElem /S /Div - /P 375 0 R - /K [377 0 R] + /P 38 0 R + /K [383 0 R 381 0 R 379 0 R 377 0 R] >> endobj 377 0 obj << /Type /StructElem - /S /Span + /S /Div /P 376 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [83] - /Pg 710 0 R + /K [378 0 R] >> endobj 378 0 obj << /Type /StructElem - /S /Div - /P 375 0 R - /K [379 0 R] + /S /Span + /P 377 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [50] + /Pg 861 0 R >> endobj 379 0 obj << /Type /StructElem - /S /Span - /P 378 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [82] - /Pg 710 0 R + /S /Div + /P 376 0 R + /K [380 0 R] >> endobj 380 0 obj << /Type /StructElem - /S /Div - /P 375 0 R - /K [381 0 R] + /S /Span + /P 379 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [49] + /Pg 861 0 R >> endobj 381 0 obj << /Type /StructElem - /S /Span - /P 380 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [81] - /Pg 710 0 R + /S /Div + /P 376 0 R + /K [382 0 R] >> endobj 382 0 obj << /Type /StructElem - /S /Div - /P 375 0 R - /K [383 0 R] + /S /Span + /P 381 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [48] + /Pg 861 0 R >> endobj 383 0 obj << /Type /StructElem - /S /Span - /P 382 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [80] - /Pg 710 0 R + /S /Div + /P 376 0 R + /K [384 0 R] >> endobj 384 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /Span + /P 383 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 + /K [47] + /Pg 861 0 R >> endobj 385 0 obj << /Type /StructElem - /S /L - /P 33 0 R + /S /Formula + /P 38 0 R /A [<< - /O /List - /ListNumbering /Circle + /O /Layout + /Placement /Block >>] - /K [391 0 R 386 0 R] + /K [43 44 45 46] + /Pg 861 0 R >> endobj 386 0 obj << /Type /StructElem - /S /LI - /P 385 0 R - /K [390 0 R 387 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [39 40 41 42] + /Pg 861 0 R >> endobj 387 0 obj << /Type /StructElem - /S /LBody - /P 386 0 R - /K [388 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [37 38] + /Pg 861 0 R >> endobj 388 0 obj << /Type /StructElem - /S /P - /P 387 0 R - /K [48 389 0 R 53] - /Pg 710 0 R + /S /Div + /P 38 0 R + /K [396 0 R 389 0 R] >> endobj 389 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 388 0 R - /K [49 50 51 52] - /Pg 710 0 R + /K [394 0 R 390 0 R] >> endobj 390 0 obj << /Type /StructElem - /S /Lbl - /P 386 0 R - /K [47] - /Pg 710 0 R + /S /P + /P 389 0 R + /K [393 0 R 14 392 0 R 27 391 0 R] + /Pg 861 0 R >> endobj 391 0 obj << /Type /StructElem - /S /LI - /P 385 0 R - /K [395 0 R 392 0 R] + /S /Formula + /P 390 0 R + /K [28 29 30 31 32 33 34 35 36] + /Pg 861 0 R >> endobj 392 0 obj << /Type /StructElem - /S /LBody - /P 391 0 R - /K [393 0 R] + /S /Formula + /P 390 0 R + /K [15 16 17 18 19 20 21 22 23 24 25 26] + /Pg 861 0 R >> endobj 393 0 obj << /Type /StructElem - /S /P - /P 392 0 R - /K [40 394 0 R] - /Pg 710 0 R + /S /Formula + /P 390 0 R + /K [7 8 9 10 11 12 13] + /Pg 861 0 R >> endobj 394 0 obj << /Type /StructElem - /S /Formula - /P 393 0 R - /K [41 42 43 44 45 46] - /Pg 710 0 R + /S /P + /P 389 0 R + /K [1 395 0 R] + /Pg 861 0 R >> endobj 395 0 obj << /Type /StructElem - /S /Lbl - /P 391 0 R - /K [39] - /Pg 710 0 R + /S /Formula + /P 394 0 R + /K [2 3 4 5 6] + /Pg 861 0 R >> endobj 396 0 obj << /Type /StructElem - /S /Formula - /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 + /S /Div + /P 388 0 R + /K [] >> endobj 397 0 obj << /Type /StructElem - /S /L - /P 33 0 R + /S /Span + /P 38 0 R /A [<< - /O /List - /ListNumbering /Circle + /O /Layout + /Placement /Block >>] - /K [398 0 R] + /K [0] + /Pg 861 0 R >> endobj 398 0 obj << /Type /StructElem - /S /LI - /P 397 0 R - /K [401 0 R 399 0 R] + /S /Div + /P 38 0 R + /K [405 0 R 403 0 R 401 0 R 399 0 R] >> endobj 399 0 obj << /Type /StructElem - /S /LBody + /S /Div /P 398 0 R - /K [22 400 0 R 24] - /Pg 710 0 R + /K [400 0 R] >> endobj 400 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 399 0 R - /K [23] - /Pg 710 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [45] + /Pg 859 0 R >> endobj 401 0 obj << /Type /StructElem - /S /Lbl + /S /Div /P 398 0 R - /K [21] - /Pg 710 0 R + /K [402 0 R] >> endobj 402 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /Span + /P 401 0 R /A [<< /O /Layout /Placement /Block >>] - /K [11 12 13 14 15 16 17 18 19 20] - /Pg 710 0 R + /K [44] + /Pg 859 0 R >> endobj 403 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] + /S /Div + /P 398 0 R /K [404 0 R] >> endobj @@ -4266,48 +4292,55 @@ endobj 404 0 obj << /Type /StructElem - /S /LI + /S /Span /P 403 0 R - /K [407 0 R 405 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [43] + /Pg 859 0 R >> endobj 405 0 obj << /Type /StructElem - /S /LBody - /P 404 0 R - /K [8 406 0 R 10] - /Pg 710 0 R + /S /Div + /P 398 0 R + /K [406 0 R] >> endobj 406 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 405 0 R - /K [9] - /Pg 710 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42] + /Pg 859 0 R >> endobj 407 0 obj << /Type /StructElem - /S /Lbl - /P 404 0 R - /K [7] - /Pg 710 0 R + /S /Div + /P 38 0 R + /K [411 0 R 408 0 R] >> endobj 408 0 obj << /Type /StructElem - /S /P - /P 33 0 R - /K [411 0 R 409 0 R] + /S /Div + /P 407 0 R + /K [410 0 R 409 0 R] >> endobj @@ -4316,49 +4349,40 @@ endobj /Type /StructElem /S /Formula /P 408 0 R - /K [410 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [28 29 30 31 32 33 34 35 36 37 38 39 40 41] + /Pg 859 0 R >> endobj 410 0 obj << /Type /StructElem - /S /Span - /P 409 0 R - /A [<< - /O /Layout - /TextDecorationType /Underline - >>] - /K [2 3 4 5 6] - /Pg 710 0 R + /S /P + /P 408 0 R + /K [27] + /Pg 859 0 R >> endobj 411 0 obj << /Type /StructElem - /S /Span - /P 408 0 R - /A [<< - /O /Layout - /TextDecorationType /Underline - >>] - /K [1] - /Pg 710 0 R + /S /Div + /P 407 0 R + /K [] >> endobj 412 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 710 0 R + /S /Div + /P 38 0 R + /K [418 0 R 413 0 R] >> endobj @@ -4366,54 +4390,48 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [420 0 R 418 0 R 416 0 R 414 0 R] + /P 412 0 R + /K [417 0 R 414 0 R] >> endobj 414 0 obj << /Type /StructElem - /S /Div + /S /P /P 413 0 R - /K [415 0 R] + /K [416 0 R 22 415 0 R] + /Pg 859 0 R >> endobj 415 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 414 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [91] - /Pg 708 0 R + /K [23 24 25 26] + /Pg 859 0 R >> endobj 416 0 obj << /Type /StructElem - /S /Div - /P 413 0 R - /K [417 0 R] + /S /Formula + /P 414 0 R + /K [16 17 18 19 20 21] + /Pg 859 0 R >> endobj 417 0 obj << /Type /StructElem - /S /Span - /P 416 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [90] - /Pg 708 0 R + /S /P + /P 413 0 R + /K [15] + /Pg 859 0 R >> endobj @@ -4421,87 +4439,77 @@ endobj << /Type /StructElem /S /Div - /P 413 0 R - /K [419 0 R] + /P 412 0 R + /K [] >> endobj 419 0 obj << /Type /StructElem - /S /Span - /P 418 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [89] - /Pg 708 0 R + /K [427 0 R 420 0 R] >> endobj 420 0 obj << /Type /StructElem - /S /Div - /P 413 0 R - /K [421 0 R] + /S /LI + /P 419 0 R + /K [426 0 R 421 0 R] >> endobj 421 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 420 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [88] - /Pg 708 0 R + /K [422 0 R] >> endobj 422 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [427 0 R 423 0 R] + /S /P + /P 421 0 R + /K [425 0 R 423 0 R] >> endobj 423 0 obj << /Type /StructElem - /S /LI + /S /Formula /P 422 0 R - /K [426 0 R 424 0 R] + /K [424 0 R] >> endobj 424 0 obj << /Type /StructElem - /S /LBody + /S /Strong /P 423 0 R - /K [86 425 0 R] - /Pg 708 0 R + /K [13 14] + /Pg 859 0 R >> endobj 425 0 obj << /Type /StructElem - /S /Formula - /P 424 0 R - /K [87] - /Pg 708 0 R + /S /Strong + /P 422 0 R + /K [12] + /Pg 859 0 R >> endobj @@ -4509,9 +4517,9 @@ endobj << /Type /StructElem /S /Lbl - /P 423 0 R - /K [85] - /Pg 708 0 R + /P 420 0 R + /K [11] + /Pg 859 0 R >> endobj @@ -4519,8 +4527,8 @@ endobj << /Type /StructElem /S /LI - /P 422 0 R - /K [430 0 R 428 0 R] + /P 419 0 R + /K [433 0 R 428 0 R] >> endobj @@ -4529,80 +4537,73 @@ endobj /Type /StructElem /S /LBody /P 427 0 R - /K [77 429 0 R 84] - /Pg 708 0 R + /K [429 0 R] >> endobj 429 0 obj << /Type /StructElem - /S /Formula + /S /P /P 428 0 R - /K [78 79 80 81 82 83] - /Pg 708 0 R + /K [432 0 R 430 0 R] >> endobj 430 0 obj << /Type /StructElem - /S /Lbl - /P 427 0 R - /K [76] - /Pg 708 0 R + /S /Formula + /P 429 0 R + /K [431 0 R] >> endobj 431 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [437 0 R 432 0 R] + /S /Strong + /P 430 0 R + /K [9 10] + /Pg 859 0 R >> endobj 432 0 obj << /Type /StructElem - /S /Div - /P 431 0 R - /K [436 0 R 434 0 R 433 0 R] + /S /Strong + /P 429 0 R + /K [8] + /Pg 859 0 R >> endobj 433 0 obj << /Type /StructElem - /S /Formula - /P 432 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 + /S /Lbl + /P 427 0 R + /K [7] + /Pg 859 0 R >> endobj 434 0 obj << /Type /StructElem - /S /P - /P 432 0 R - /K [42 435 0 R] - /Pg 708 0 R + /S /Div + /P 38 0 R + /K [440 0 R 435 0 R] >> endobj 435 0 obj << /Type /StructElem - /S /Formula + /S /Div /P 434 0 R - /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56] - /Pg 708 0 R + /K [439 0 R 436 0 R] >> endobj @@ -4610,95 +4611,102 @@ endobj << /Type /StructElem /S /P - /P 432 0 R - /K [41] - /Pg 708 0 R + /P 435 0 R + /K [2 438 0 R 4 437 0 R 6] + /Pg 859 0 R >> endobj 437 0 obj << /Type /StructElem - /S /Div - /P 431 0 R - /K [] + /S /Strong + /P 436 0 R + /K [5] + /Pg 859 0 R >> endobj 438 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [444 0 R 439 0 R] + /S /Formula + /P 436 0 R + /K [3] + /Pg 859 0 R >> endobj 439 0 obj << /Type /StructElem - /S /LI - /P 438 0 R - /K [443 0 R 440 0 R] + /S /P + /P 435 0 R + /K [1] + /Pg 859 0 R >> endobj 440 0 obj << /Type /StructElem - /S /LBody - /P 439 0 R - /K [441 0 R] + /S /Div + /P 434 0 R + /K [] >> endobj 441 0 obj << /Type /StructElem - /S /P - /P 440 0 R - /K [442 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 859 0 R >> endobj 442 0 obj << /Type /StructElem - /S /Formula - /P 441 0 R - /K [35 36 37 38 39 40] - /Pg 708 0 R + /S /Div + /P 38 0 R + /K [449 0 R 447 0 R 445 0 R 443 0 R] >> endobj 443 0 obj << /Type /StructElem - /S /Lbl - /P 439 0 R - /K [34] - /Pg 708 0 R + /S /Div + /P 442 0 R + /K [444 0 R] >> endobj 444 0 obj << /Type /StructElem - /S /LI - /P 438 0 R - /K [448 0 R 445 0 R] + /S /Span + /P 443 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [64] + /Pg 857 0 R >> endobj 445 0 obj << /Type /StructElem - /S /LBody - /P 444 0 R + /S /Div + /P 442 0 R /K [446 0 R] >> endobj @@ -4706,29 +4714,37 @@ endobj 446 0 obj << /Type /StructElem - /S /P + /S /Span /P 445 0 R - /K [447 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [63] + /Pg 857 0 R >> endobj 447 0 obj << /Type /StructElem - /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 + /S /Div + /P 442 0 R + /K [448 0 R] >> endobj 448 0 obj << /Type /StructElem - /S /Lbl - /P 444 0 R - /K [12] - /Pg 708 0 R + /S /Span + /P 447 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [62] + /Pg 857 0 R >> endobj @@ -4736,96 +4752,93 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [453 0 R 450 0 R] + /P 442 0 R + /K [450 0 R] >> endobj 450 0 obj << /Type /StructElem - /S /Div + /S /Span /P 449 0 R - /K [452 0 R 451 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [61] + /Pg 857 0 R >> endobj 451 0 obj << /Type /StructElem - /S /Formula - /P 450 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [2 3 4 5 6 7 8 9 10 11] - /Pg 708 0 R + /K [452 0 R] >> endobj 452 0 obj << /Type /StructElem - /S /P - /P 450 0 R - /K [1] - /Pg 708 0 R + /S /LI + /P 451 0 R + /K [456 0 R 453 0 R] >> endobj 453 0 obj << /Type /StructElem - /S /Div - /P 449 0 R - /K [] + /S /LBody + /P 452 0 R + /K [44 455 0 R 50 454 0 R 60] + /Pg 857 0 R >> endobj 454 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 708 0 R + /S /Formula + /P 453 0 R + /K [51 52 53 54 55 56 57 58 59] + /Pg 857 0 R >> endobj 455 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [462 0 R 460 0 R 458 0 R 456 0 R] + /S /Formula + /P 453 0 R + /K [45 46 47 48 49] + /Pg 857 0 R >> endobj 456 0 obj << /Type /StructElem - /S /Div - /P 455 0 R - /K [457 0 R] + /S /Lbl + /P 452 0 R + /K [43] + /Pg 857 0 R >> endobj 457 0 obj << /Type /StructElem - /S /Span - /P 456 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [82] - /Pg 706 0 R + /S /Div + /P 38 0 R + /K [463 0 R 458 0 R] >> endobj @@ -4833,68 +4846,57 @@ endobj << /Type /StructElem /S /Div - /P 455 0 R - /K [459 0 R] + /P 457 0 R + /K [462 0 R 459 0 R] >> endobj 459 0 obj << /Type /StructElem - /S /Span + /S /P /P 458 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [81] - /Pg 706 0 R + /K [35 461 0 R 37 460 0 R] + /Pg 857 0 R >> endobj 460 0 obj << /Type /StructElem - /S /Div - /P 455 0 R - /K [461 0 R] + /S /Formula + /P 459 0 R + /K [38 39 40 41 42] + /Pg 857 0 R >> endobj 461 0 obj << /Type /StructElem - /S /Span - /P 460 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [80] - /Pg 706 0 R + /S /Formula + /P 459 0 R + /K [36] + /Pg 857 0 R >> endobj 462 0 obj << /Type /StructElem - /S /Div - /P 455 0 R - /K [463 0 R] + /S /P + /P 458 0 R + /K [34] + /Pg 857 0 R >> endobj 463 0 obj << /Type /StructElem - /S /Span - /P 462 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [79] - /Pg 706 0 R + /S /Div + /P 457 0 R + /K [] >> endobj @@ -4902,12 +4904,12 @@ endobj << /Type /StructElem /S /L - /P 33 0 R + /P 38 0 R /A [<< /O /List /ListNumbering /Circle >>] - /K [470 0 R 465 0 R] + /K [465 0 R] >> endobj @@ -4925,17 +4927,18 @@ endobj /Type /StructElem /S /LBody /P 465 0 R - /K [467 0 R] + /K [25 468 0 R 27 467 0 R 33] + /Pg 857 0 R >> endobj 467 0 obj << /Type /StructElem - /S /P + /S /Formula /P 466 0 R - /K [468 0 R 78] - /Pg 706 0 R + /K [28 29 30 31 32] + /Pg 857 0 R >> endobj @@ -4943,9 +4946,9 @@ endobj << /Type /StructElem /S /Formula - /P 467 0 R - /K [64 65 66 67 68 69 70 71 72 73 74 75 76 77] - /Pg 706 0 R + /P 466 0 R + /K [26] + /Pg 857 0 R >> endobj @@ -4954,98 +4957,103 @@ endobj /Type /StructElem /S /Lbl /P 465 0 R - /K [63] - /Pg 706 0 R + /K [24] + /Pg 857 0 R >> endobj 470 0 obj << /Type /StructElem - /S /LI - /P 464 0 R - /K [474 0 R 471 0 R] + /S /Div + /P 38 0 R + /K [477 0 R 471 0 R] >> endobj 471 0 obj << /Type /StructElem - /S /LBody + /S /Div /P 470 0 R - /K [472 0 R] + /K [476 0 R 473 0 R 472 0 R] >> endobj 472 0 obj << /Type /StructElem - /S /P + /S /Formula /P 471 0 R - /K [45 473 0 R] - /Pg 706 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [9 10 11 12 13 14 15 16 17 18 19 20 21 22 23] + /Pg 857 0 R >> endobj 473 0 obj << /Type /StructElem - /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 + /S /P + /P 471 0 R + /K [2 475 0 R 6 474 0 R 8] + /Pg 857 0 R >> endobj 474 0 obj << /Type /StructElem - /S /Lbl - /P 470 0 R - /K [44] - /Pg 706 0 R + /S /Formula + /P 473 0 R + /K [7] + /Pg 857 0 R >> endobj 475 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [479 0 R 476 0 R] + /S /Formula + /P 473 0 R + /K [3 4 5] + /Pg 857 0 R >> endobj 476 0 obj << /Type /StructElem - /S /Div - /P 475 0 R - /K [478 0 R 477 0 R] + /S /P + /P 471 0 R + /K [1] + /Pg 857 0 R >> endobj 477 0 obj << /Type /StructElem - /S /Formula - /P 476 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [37 38 39 40 41 42 43] - /Pg 706 0 R + /S /Div + /P 470 0 R + /K [] >> endobj 478 0 obj << /Type /StructElem - /S /P - /P 476 0 R - /K [36] - /Pg 706 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 857 0 R >> endobj @@ -5053,8 +5061,8 @@ endobj << /Type /StructElem /S /Div - /P 475 0 R - /K [] + /P 38 0 R + /K [486 0 R 484 0 R 482 0 R 480 0 R] >> endobj @@ -5062,108 +5070,133 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [487 0 R 481 0 R] + /P 479 0 R + /K [481 0 R] >> endobj 481 0 obj << /Type /StructElem - /S /Div + /S /Span /P 480 0 R - /K [486 0 R 483 0 R 482 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [54] + /Pg 855 0 R >> endobj 482 0 obj << /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 + /S /Div + /P 479 0 R + /K [483 0 R] >> endobj 483 0 obj << /Type /StructElem - /S /P - /P 481 0 R - /K [15 485 0 R 21 484 0 R 25] - /Pg 706 0 R + /S /Span + /P 482 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [53] + /Pg 855 0 R >> endobj 484 0 obj << /Type /StructElem - /S /Formula - /P 483 0 R - /K [22 23 24] - /Pg 706 0 R + /S /Div + /P 479 0 R + /K [485 0 R] >> endobj 485 0 obj << /Type /StructElem - /S /Formula - /P 483 0 R - /K [16 17 18 19 20] - /Pg 706 0 R + /S /Span + /P 484 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [52] + /Pg 855 0 R >> endobj 486 0 obj << /Type /StructElem - /S /P - /P 481 0 R - /K [14] - /Pg 706 0 R + /S /Div + /P 479 0 R + /K [487 0 R] >> endobj 487 0 obj << /Type /StructElem - /S /Div - /P 480 0 R - /K [] + /S /Span + /P 486 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [51] + /Pg 855 0 R >> endobj 488 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [494 0 R 489 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [50] + /Pg 855 0 R >> endobj 489 0 obj << /Type /StructElem - /S /Div - /P 488 0 R - /K [493 0 R 490 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42 43 44 45 46 47 48 49] + /Pg 855 0 R >> endobj 490 0 obj << /Type /StructElem - /S /P - /P 489 0 R - /K [492 0 R 12 491 0 R] - /Pg 706 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [40 41] + /Pg 855 0 R >> endobj @@ -5171,70 +5204,97 @@ endobj << /Type /StructElem /S /Formula - /P 490 0 R - /K [13] - /Pg 706 0 R + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [35 36 37 38 39] + /Pg 855 0 R >> endobj 492 0 obj << /Type /StructElem - /S /Formula - /P 490 0 R - /K [2 3 4 5 6 7 8 9 10 11] - /Pg 706 0 R + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [32 33 34] + /Pg 855 0 R >> endobj 493 0 obj << /Type /StructElem - /S /P - /P 489 0 R - /K [1] - /Pg 706 0 R + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [29 30 31] + /Pg 855 0 R >> endobj 494 0 obj << /Type /StructElem - /S /Div - /P 488 0 R - /K [] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [26 27 28] + /Pg 855 0 R >> endobj 495 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0] - /Pg 706 0 R + /K [23 24 25] + /Pg 855 0 R >> endobj 496 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [503 0 R 501 0 R 499 0 R 497 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [20 21 22] + /Pg 855 0 R >> endobj 497 0 obj << /Type /StructElem - /S /Div - /P 496 0 R - /K [498 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [17 18 19] + /Pg 855 0 R >> endobj @@ -5242,22 +5302,27 @@ endobj << /Type /StructElem /S /Span - /P 497 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [73] - /Pg 704 0 R + /K [16] + /Pg 855 0 R >> endobj 499 0 obj << /Type /StructElem - /S /Div - /P 496 0 R - /K [500 0 R] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [12 13 14 15] + /Pg 855 0 R >> endobj @@ -5265,13 +5330,13 @@ endobj << /Type /StructElem /S /Span - /P 499 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [72] - /Pg 704 0 R + /K [0 1 2 3 4 5 6 7 8 9 10 11] + /Pg 855 0 R >> endobj @@ -5279,101 +5344,86 @@ endobj << /Type /StructElem /S /Div - /P 496 0 R - /K [502 0 R] + /P 38 0 R + /K [508 0 R 506 0 R 504 0 R 502 0 R] >> endobj 502 0 obj << /Type /StructElem - /S /Span + /S /Div /P 501 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [71] - /Pg 704 0 R + /K [503 0 R] >> endobj 503 0 obj << /Type /StructElem - /S /Div - /P 496 0 R - /K [504 0 R] + /S /Span + /P 502 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [99] + /Pg 853 0 R >> endobj 504 0 obj << /Type /StructElem - /S /Span - /P 503 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [70] - /Pg 704 0 R + /S /Div + /P 501 0 R + /K [505 0 R] >> endobj 505 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R + /S /Span + /P 504 0 R /A [<< /O /Layout /Placement /Block >>] - /K [67 68 69] - /Pg 704 0 R + /K [98] + /Pg 853 0 R >> endobj 506 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [59 60 61 62 63 64 65 66] - /Pg 704 0 R + /S /Div + /P 501 0 R + /K [507 0 R] >> endobj 507 0 obj << /Type /StructElem - /S /Strong - /P 33 0 R + /S /Span + /P 506 0 R /A [<< /O /Layout /Placement /Block >>] - /K [58] - /Pg 704 0 R + /K [97] + /Pg 853 0 R >> endobj 508 0 obj << /Type /StructElem - /S /Formula - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [55 56 57] - /Pg 704 0 R + /S /Div + /P 501 0 R + /K [509 0 R] >> endobj @@ -5381,40 +5431,47 @@ endobj << /Type /StructElem /S /Span - /P 33 0 R + /P 508 0 R /A [<< /O /Layout /Placement /Block >>] - /K [51 52 53 54] - /Pg 704 0 R + /K [96] + /Pg 853 0 R >> endobj 510 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [515 0 R 511 0 R] + /S /Formula + /P 38 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 853 0 R >> endobj 511 0 obj << /Type /StructElem - /S /Div - /P 510 0 R - /K [514 0 R 512 0 R] + /S /P + /P 38 0 R + /K [21 512 0 R] + /Pg 853 0 R >> endobj 512 0 obj << /Type /StructElem - /S /P + /S /Formula /P 511 0 R - /K [513 0 R] + /K [22 23 24 25 26 27 28 29 30] + /Pg 853 0 R >> endobj @@ -5422,9 +5479,13 @@ endobj << /Type /StructElem /S /Formula - /P 512 0 R - /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] - /Pg 704 0 R + /P 38 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 853 0 R >> endobj @@ -5432,312 +5493,339 @@ endobj << /Type /StructElem /S /P - /P 511 0 R - /K [30] - /Pg 704 0 R + /P 38 0 R + /K [1] + /Pg 853 0 R >> endobj 515 0 obj << /Type /StructElem - /S /Div - /P 510 0 R - /K [] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 853 0 R >> endobj 516 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [525 0 R 521 0 R 517 0 R] + /S /Div + /P 38 0 R + /K [523 0 R 521 0 R 519 0 R 517 0 R] >> endobj 517 0 obj << /Type /StructElem - /S /LI + /S /Div /P 516 0 R - /K [520 0 R 518 0 R] + /K [518 0 R] >> endobj 518 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 517 0 R - /K [519 0 R 29] - /Pg 704 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [83] + /Pg 851 0 R >> endobj 519 0 obj << /Type /StructElem - /S /Formula - /P 518 0 R - /K [24 25 26 27 28] - /Pg 704 0 R + /S /Div + /P 516 0 R + /K [520 0 R] >> endobj 520 0 obj << /Type /StructElem - /S /Lbl - /P 517 0 R - /K [23] - /Pg 704 0 R + /S /Span + /P 519 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [82] + /Pg 851 0 R >> endobj 521 0 obj << /Type /StructElem - /S /LI + /S /Div /P 516 0 R - /K [524 0 R 522 0 R] + /K [522 0 R] >> endobj 522 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 521 0 R - /K [523 0 R 22] - /Pg 704 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [81] + /Pg 851 0 R >> endobj 523 0 obj << /Type /StructElem - /S /Formula - /P 522 0 R - /K [21] - /Pg 704 0 R + /S /Div + /P 516 0 R + /K [524 0 R] >> endobj 524 0 obj << /Type /StructElem - /S /Lbl - /P 521 0 R - /K [20] - /Pg 704 0 R + /S /Span + /P 523 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [80] + /Pg 851 0 R >> endobj 525 0 obj << /Type /StructElem - /S /LI - /P 516 0 R - /K [528 0 R 526 0 R] + /S /Formula + /P 38 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 851 0 R >> endobj 526 0 obj << /Type /StructElem - /S /LBody - /P 525 0 R - /K [527 0 R 19] - /Pg 704 0 R + /S /L + /P 38 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [532 0 R 527 0 R] >> endobj 527 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 526 0 R - /K [18] - /Pg 704 0 R + /K [531 0 R 528 0 R] >> endobj 528 0 obj << /Type /StructElem - /S /Lbl - /P 525 0 R - /K [17] - /Pg 704 0 R + /S /LBody + /P 527 0 R + /K [529 0 R] >> endobj 529 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [537 0 R 530 0 R] + /S /P + /P 528 0 R + /K [48 530 0 R 53] + /Pg 851 0 R >> endobj 530 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 529 0 R - /K [535 0 R 531 0 R] + /K [49 50 51 52] + /Pg 851 0 R >> endobj 531 0 obj << /Type /StructElem - /S /P - /P 530 0 R - /K [534 0 R 11 533 0 R 13 532 0 R] - /Pg 704 0 R + /S /Lbl + /P 527 0 R + /K [47] + /Pg 851 0 R >> endobj 532 0 obj << /Type /StructElem - /S /Formula - /P 531 0 R - /K [14 15 16] - /Pg 704 0 R + /S /LI + /P 526 0 R + /K [536 0 R 533 0 R] >> endobj 533 0 obj << /Type /StructElem - /S /Formula - /P 531 0 R - /K [12] - /Pg 704 0 R + /S /LBody + /P 532 0 R + /K [534 0 R] >> endobj 534 0 obj << /Type /StructElem - /S /Formula - /P 531 0 R - /K [10] - /Pg 704 0 R + /S /P + /P 533 0 R + /K [40 535 0 R] + /Pg 851 0 R >> endobj 535 0 obj << /Type /StructElem - /S /P - /P 530 0 R - /K [1 536 0 R] - /Pg 704 0 R + /S /Formula + /P 534 0 R + /K [41 42 43 44 45 46] + /Pg 851 0 R >> endobj 536 0 obj << /Type /StructElem - /S /Formula - /P 535 0 R - /K [2 3 4 5 6 7 8 9] - /Pg 704 0 R + /S /Lbl + /P 532 0 R + /K [39] + /Pg 851 0 R >> endobj 537 0 obj << /Type /StructElem - /S /Div - /P 529 0 R - /K [] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [25 26 27 28 29 30 31 32 33 34 35 36 37 38] + /Pg 851 0 R >> endobj 538 0 obj << /Type /StructElem - /S /Span - /P 33 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [0] - /Pg 704 0 R + /K [539 0 R] >> endobj 539 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [546 0 R 544 0 R 542 0 R 540 0 R] + /S /LI + /P 538 0 R + /K [542 0 R 540 0 R] >> endobj 540 0 obj << /Type /StructElem - /S /Div + /S /LBody /P 539 0 R - /K [541 0 R] + /K [22 541 0 R 24] + /Pg 851 0 R >> endobj 541 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 540 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [54] - /Pg 702 0 R + /K [23] + /Pg 851 0 R >> endobj 542 0 obj << /Type /StructElem - /S /Div + /S /Lbl /P 539 0 R - /K [543 0 R] + /K [21] + /Pg 851 0 R >> endobj 543 0 obj << /Type /StructElem - /S /Span - /P 542 0 R + /S /Formula + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [53] - /Pg 702 0 R + /K [11 12 13 14 15 16 17 18 19 20] + /Pg 851 0 R >> endobj 544 0 obj << /Type /StructElem - /S /Div - /P 539 0 R + /S /L + /P 38 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] /K [545 0 R] >> endobj @@ -5745,54 +5833,47 @@ endobj 545 0 obj << /Type /StructElem - /S /Span + /S /LI /P 544 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [52] - /Pg 702 0 R + /K [548 0 R 546 0 R] >> endobj 546 0 obj << /Type /StructElem - /S /Div - /P 539 0 R - /K [547 0 R] + /S /LBody + /P 545 0 R + /K [8 547 0 R 10] + /Pg 851 0 R >> endobj 547 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 546 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [51] - /Pg 702 0 R + /K [9] + /Pg 851 0 R >> endobj 548 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [553 0 R 549 0 R] + /S /Lbl + /P 545 0 R + /K [7] + /Pg 851 0 R >> endobj 549 0 obj << /Type /StructElem - /S /Div - /P 548 0 R + /S /P + /P 38 0 R /K [552 0 R 550 0 R] >> endobj @@ -5800,7 +5881,7 @@ endobj 550 0 obj << /Type /StructElem - /S /P + /S /Formula /P 549 0 R /K [551 0 R] >> @@ -5809,187 +5890,214 @@ endobj 551 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 550 0 R - /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] - /Pg 702 0 R + /A [<< + /O /Layout + /TextDecorationType /Underline + >>] + /K [2 3 4 5 6] + /Pg 851 0 R >> endobj 552 0 obj << /Type /StructElem - /S /P + /S /Span /P 549 0 R - /K [30] - /Pg 702 0 R + /A [<< + /O /Layout + /TextDecorationType /Underline + >>] + /K [1] + /Pg 851 0 R >> endobj 553 0 obj << /Type /StructElem - /S /Div - /P 548 0 R - /K [] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 851 0 R >> endobj 554 0 obj << /Type /StructElem - /S /L - /P 33 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [563 0 R 559 0 R 555 0 R] + /S /Div + /P 38 0 R + /K [561 0 R 559 0 R 557 0 R 555 0 R] >> endobj 555 0 obj << /Type /StructElem - /S /LI + /S /Div /P 554 0 R - /K [558 0 R 556 0 R] + /K [556 0 R] >> endobj 556 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 555 0 R - /K [557 0 R 29] - /Pg 702 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [91] + /Pg 849 0 R >> endobj 557 0 obj << /Type /StructElem - /S /Formula - /P 556 0 R - /K [24 25 26 27 28] - /Pg 702 0 R + /S /Div + /P 554 0 R + /K [558 0 R] >> endobj 558 0 obj << /Type /StructElem - /S /Lbl - /P 555 0 R - /K [23] - /Pg 702 0 R + /S /Span + /P 557 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [90] + /Pg 849 0 R >> endobj 559 0 obj << /Type /StructElem - /S /LI + /S /Div /P 554 0 R - /K [562 0 R 560 0 R] + /K [560 0 R] >> endobj 560 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 559 0 R - /K [561 0 R 22] - /Pg 702 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [89] + /Pg 849 0 R >> endobj 561 0 obj << /Type /StructElem - /S /Formula - /P 560 0 R - /K [21] - /Pg 702 0 R + /S /Div + /P 554 0 R + /K [562 0 R] >> endobj 562 0 obj << /Type /StructElem - /S /Lbl - /P 559 0 R - /K [20] - /Pg 702 0 R + /S /Span + /P 561 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [88] + /Pg 849 0 R >> endobj 563 0 obj << /Type /StructElem - /S /LI - /P 554 0 R - /K [566 0 R 564 0 R] + /S /L + /P 38 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [568 0 R 564 0 R] >> endobj 564 0 obj << /Type /StructElem - /S /LBody + /S /LI /P 563 0 R - /K [565 0 R 19] - /Pg 702 0 R + /K [567 0 R 565 0 R] >> endobj 565 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 564 0 R - /K [18] - /Pg 702 0 R + /K [86 566 0 R] + /Pg 849 0 R >> endobj 566 0 obj << /Type /StructElem - /S /Lbl - /P 563 0 R - /K [17] - /Pg 702 0 R + /S /Formula + /P 565 0 R + /K [87] + /Pg 849 0 R >> endobj 567 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [575 0 R 568 0 R] + /S /Lbl + /P 564 0 R + /K [85] + /Pg 849 0 R >> endobj 568 0 obj << /Type /StructElem - /S /Div - /P 567 0 R - /K [573 0 R 569 0 R] + /S /LI + /P 563 0 R + /K [571 0 R 569 0 R] >> endobj 569 0 obj << /Type /StructElem - /S /P + /S /LBody /P 568 0 R - /K [572 0 R 11 571 0 R 13 570 0 R] - /Pg 702 0 R + /K [77 570 0 R 84] + /Pg 849 0 R >> endobj @@ -5998,38 +6106,36 @@ endobj /Type /StructElem /S /Formula /P 569 0 R - /K [14 15 16] - /Pg 702 0 R + /K [78 79 80 81 82 83] + /Pg 849 0 R >> endobj 571 0 obj << /Type /StructElem - /S /Formula - /P 569 0 R - /K [12] - /Pg 702 0 R + /S /Lbl + /P 568 0 R + /K [76] + /Pg 849 0 R >> endobj 572 0 obj << /Type /StructElem - /S /Formula - /P 569 0 R - /K [10] - /Pg 702 0 R + /S /Div + /P 38 0 R + /K [578 0 R 573 0 R] >> endobj 573 0 obj << /Type /StructElem - /S /P - /P 568 0 R - /K [1 574 0 R] - /Pg 702 0 R + /S /Div + /P 572 0 R + /K [577 0 R 575 0 R 574 0 R] >> endobj @@ -6038,40 +6144,42 @@ endobj /Type /StructElem /S /Formula /P 573 0 R - /K [2 3 4 5 6 7 8 9] - /Pg 702 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 849 0 R >> endobj 575 0 obj << /Type /StructElem - /S /Div - /P 567 0 R - /K [] + /S /P + /P 573 0 R + /K [42 576 0 R] + /Pg 849 0 R >> endobj 576 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 702 0 R + /S /Formula + /P 575 0 R + /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56] + /Pg 849 0 R >> endobj 577 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [584 0 R 582 0 R 580 0 R 578 0 R] + /S /P + /P 573 0 R + /K [41] + /Pg 849 0 R >> endobj @@ -6079,53 +6187,47 @@ endobj << /Type /StructElem /S /Div - /P 577 0 R - /K [579 0 R] + /P 572 0 R + /K [] >> endobj 579 0 obj << /Type /StructElem - /S /Span - /P 578 0 R + /S /L + /P 38 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Circle >>] - /K [6] - /Pg 700 0 R + /K [585 0 R 580 0 R] >> endobj 580 0 obj << /Type /StructElem - /S /Div - /P 577 0 R - /K [581 0 R] + /S /LI + /P 579 0 R + /K [584 0 R 581 0 R] >> endobj 581 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 580 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 700 0 R + /K [582 0 R] >> endobj 582 0 obj << /Type /StructElem - /S /Div - /P 577 0 R + /S /P + /P 581 0 R /K [583 0 R] >> endobj @@ -6133,83 +6235,67 @@ endobj 583 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 582 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 700 0 R + /K [35 36 37 38 39 40] + /Pg 849 0 R >> endobj 584 0 obj << /Type /StructElem - /S /Div - /P 577 0 R - /K [585 0 R] + /S /Lbl + /P 580 0 R + /K [34] + /Pg 849 0 R >> endobj 585 0 obj << /Type /StructElem - /S /Span - /P 584 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 700 0 R + /S /LI + /P 579 0 R + /K [589 0 R 586 0 R] >> endobj 586 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2] - /Pg 700 0 R + /S /LBody + /P 585 0 R + /K [587 0 R] >> endobj 587 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [594 0 R 592 0 R 590 0 R 588 0 R] + /S /P + /P 586 0 R + /K [588 0 R] >> endobj 588 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 587 0 R - /K [589 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 849 0 R >> endobj 589 0 obj << /Type /StructElem - /S /Span - /P 588 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10] - /Pg 698 0 R + /S /Lbl + /P 585 0 R + /K [12] + /Pg 849 0 R >> endobj @@ -6217,45 +6303,41 @@ endobj << /Type /StructElem /S /Div - /P 587 0 R - /K [591 0 R] + /P 38 0 R + /K [594 0 R 591 0 R] >> endobj 591 0 obj << /Type /StructElem - /S /Span + /S /Div /P 590 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [9] - /Pg 698 0 R + /K [593 0 R 592 0 R] >> endobj 592 0 obj << /Type /StructElem - /S /Div - /P 587 0 R - /K [593 0 R] + /S /Formula + /P 591 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2 3 4 5 6 7 8 9 10 11] + /Pg 849 0 R >> endobj 593 0 obj << /Type /StructElem - /S /Span - /P 592 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [8] - /Pg 698 0 R + /S /P + /P 591 0 R + /K [1] + /Pg 849 0 R >> endobj @@ -6263,8 +6345,8 @@ endobj << /Type /StructElem /S /Div - /P 587 0 R - /K [595 0 R] + /P 590 0 R + /K [] >> endobj @@ -6272,13 +6354,13 @@ endobj << /Type /StructElem /S /Span - /P 594 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [7] - /Pg 698 0 R + /K [0] + /Pg 849 0 R >> endobj @@ -6286,8 +6368,8 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [603 0 R 597 0 R] + /P 38 0 R + /K [603 0 R 601 0 R 599 0 R 597 0 R] >> endobj @@ -6296,63 +6378,67 @@ endobj /Type /StructElem /S /Div /P 596 0 R - /K [599 0 R 598 0 R] + /K [598 0 R] >> endobj 598 0 obj << /Type /StructElem - /S /P + /S /Span /P 597 0 R - /K [6] - /Pg 698 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [82] + /Pg 847 0 R >> endobj 599 0 obj << /Type /StructElem - /S /P - /P 597 0 R - /K [602 0 R 600 0 R] + /S /Div + /P 596 0 R + /K [600 0 R] >> endobj 600 0 obj << /Type /StructElem - /S /Link + /S /Span /P 599 0 R - /K [601 0 R << - /Type /OBJR - /Pg 698 0 R - /Obj 697 0 R + /A [<< + /O /Layout + /Placement /Block >>] + /K [81] + /Pg 847 0 R >> endobj 601 0 obj << /Type /StructElem - /S /Strong - /P 600 0 R - /K [5] - /Pg 698 0 R + /S /Div + /P 596 0 R + /K [602 0 R] >> endobj 602 0 obj << /Type /StructElem - /S /Figure - /P 599 0 R + /S /Span + /P 601 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 698 0 R + /K [80] + /Pg 847 0 R >> endobj @@ -6361,155 +6447,139 @@ endobj /Type /StructElem /S /Div /P 596 0 R - /K [605 0 R 604 0 R] + /K [604 0 R] >> endobj 604 0 obj << /Type /StructElem - /S /P + /S /Span /P 603 0 R - /K [3] - /Pg 698 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [79] + /Pg 847 0 R >> endobj 605 0 obj << /Type /StructElem - /S /P - /P 603 0 R - /K [608 0 R 606 0 R] + /S /L + /P 38 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [611 0 R 606 0 R] >> endobj 606 0 obj << /Type /StructElem - /S /Link + /S /LI /P 605 0 R - /K [607 0 R << - /Type /OBJR - /Pg 698 0 R - /Obj 696 0 R - >>] + /K [610 0 R 607 0 R] >> endobj 607 0 obj << /Type /StructElem - /S /Strong + /S /LBody /P 606 0 R - /K [2] - /Pg 698 0 R + /K [608 0 R] >> endobj 608 0 obj << /Type /StructElem - /S /Figure - /P 605 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1] - /Pg 698 0 R + /S /P + /P 607 0 R + /K [609 0 R 78] + /Pg 847 0 R >> endobj 609 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 698 0 R + /S /Formula + /P 608 0 R + /K [64 65 66 67 68 69 70 71 72 73 74 75 76 77] + /Pg 847 0 R >> endobj 610 0 obj << /Type /StructElem - /S /Div - /P 33 0 R - /K [617 0 R 615 0 R 613 0 R 611 0 R] + /S /Lbl + /P 606 0 R + /K [63] + /Pg 847 0 R >> endobj 611 0 obj << /Type /StructElem - /S /Div - /P 610 0 R - /K [612 0 R] + /S /LI + /P 605 0 R + /K [615 0 R 612 0 R] >> endobj 612 0 obj << /Type /StructElem - /S /Span + /S /LBody /P 611 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [18] - /Pg 694 0 R + /K [613 0 R] >> endobj 613 0 obj << /Type /StructElem - /S /Div - /P 610 0 R - /K [614 0 R] + /S /P + /P 612 0 R + /K [45 614 0 R] + /Pg 847 0 R >> endobj 614 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 613 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [17] - /Pg 694 0 R + /K [46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62] + /Pg 847 0 R >> endobj 615 0 obj << /Type /StructElem - /S /Div - /P 610 0 R - /K [616 0 R] + /S /Lbl + /P 611 0 R + /K [44] + /Pg 847 0 R >> endobj 616 0 obj << /Type /StructElem - /S /Span - /P 615 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [16] - /Pg 694 0 R + /S /Div + /P 38 0 R + /K [620 0 R 617 0 R] >> endobj @@ -6517,36 +6587,32 @@ endobj << /Type /StructElem /S /Div - /P 610 0 R - /K [618 0 R] + /P 616 0 R + /K [619 0 R 618 0 R] >> endobj 618 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 617 0 R /A [<< /O /Layout /Placement /Block >>] - /K [15] - /Pg 694 0 R + /K [37 38 39 40 41 42 43] + /Pg 847 0 R >> endobj 619 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14] - /Pg 694 0 R + /S /P + /P 617 0 R + /K [36] + /Pg 847 0 R >> endobj @@ -6554,8 +6620,8 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [627 0 R 625 0 R 623 0 R 621 0 R] + /P 616 0 R + /K [] >> endobj @@ -6563,91 +6629,80 @@ endobj << /Type /StructElem /S /Div - /P 620 0 R - /K [622 0 R] + /P 38 0 R + /K [628 0 R 622 0 R] >> endobj 622 0 obj << /Type /StructElem - /S /Span + /S /Div /P 621 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10] - /Pg 692 0 R + /K [627 0 R 624 0 R 623 0 R] >> endobj 623 0 obj << /Type /StructElem - /S /Div - /P 620 0 R - /K [624 0 R] + /S /Formula + /P 622 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [26 27 28 29 30 31 32 33 34 35] + /Pg 847 0 R >> endobj 624 0 obj << /Type /StructElem - /S /Span - /P 623 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [9] - /Pg 692 0 R + /S /P + /P 622 0 R + /K [15 626 0 R 21 625 0 R 25] + /Pg 847 0 R >> endobj 625 0 obj << /Type /StructElem - /S /Div - /P 620 0 R - /K [626 0 R] + /S /Formula + /P 624 0 R + /K [22 23 24] + /Pg 847 0 R >> endobj 626 0 obj << /Type /StructElem - /S /Span - /P 625 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [8] - /Pg 692 0 R + /S /Formula + /P 624 0 R + /K [16 17 18 19 20] + /Pg 847 0 R >> endobj 627 0 obj << /Type /StructElem - /S /Div - /P 620 0 R - /K [628 0 R] + /S /P + /P 622 0 R + /K [14] + /Pg 847 0 R >> endobj 628 0 obj << /Type /StructElem - /S /Span - /P 627 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [7] - /Pg 692 0 R + /S /Div + /P 621 0 R + /K [] >> endobj @@ -6655,8 +6710,8 @@ endobj << /Type /StructElem /S /Div - /P 33 0 R - /K [650 0 R 630 0 R] + /P 38 0 R + /K [635 0 R 630 0 R] >> endobj @@ -6665,48 +6720,47 @@ endobj /Type /StructElem /S /Div /P 629 0 R - /K [631 0 R] + /K [634 0 R 631 0 R] >> endobj 631 0 obj << /Type /StructElem - /S /Div + /S /P /P 630 0 R - /K [649 0 R 647 0 R 646 0 R 644 0 R 643 0 R 641 0 R 640 0 R 638 0 R 637 0 R 635 0 R 634 0 R 632 0 R] + /K [633 0 R 12 632 0 R] + /Pg 847 0 R >> endobj 632 0 obj << /Type /StructElem - /S /Div + /S /Formula /P 631 0 R - /K [633 0 R] + /K [13] + /Pg 847 0 R >> endobj 633 0 obj << /Type /StructElem - /S /Span - /P 632 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 692 0 R + /S /Formula + /P 631 0 R + /K [2 3 4 5 6 7 8 9 10 11] + /Pg 847 0 R >> endobj 634 0 obj << /Type /StructElem - /S /Div - /P 631 0 R - /K [] + /S /P + /P 630 0 R + /K [1] + /Pg 847 0 R >> endobj @@ -6714,8 +6768,8 @@ endobj << /Type /StructElem /S /Div - /P 631 0 R - /K [636 0 R] + /P 629 0 R + /K [] >> endobj @@ -6723,13 +6777,13 @@ endobj << /Type /StructElem /S /Span - /P 635 0 R + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [5] - /Pg 692 0 R + /K [0] + /Pg 847 0 R >> endobj @@ -6737,8 +6791,8 @@ endobj << /Type /StructElem /S /Div - /P 631 0 R - /K [] + /P 38 0 R + /K [644 0 R 642 0 R 640 0 R 638 0 R] >> endobj @@ -6746,7 +6800,7 @@ endobj << /Type /StructElem /S /Div - /P 631 0 R + /P 637 0 R /K [639 0 R] >> endobj @@ -6760,8 +6814,8 @@ endobj /O /Layout /Placement /Block >>] - /K [4] - /Pg 692 0 R + /K [73] + /Pg 845 0 R >> endobj @@ -6769,40 +6823,45 @@ endobj << /Type /StructElem /S /Div - /P 631 0 R - /K [] + /P 637 0 R + /K [641 0 R] >> endobj 641 0 obj << /Type /StructElem - /S /Div - /P 631 0 R - /K [642 0 R] + /S /Span + /P 640 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [72] + /Pg 845 0 R >> endobj 642 0 obj << /Type /StructElem - /S /Span - /P 641 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [3] - /Pg 692 0 R + /S /Div + /P 637 0 R + /K [643 0 R] >> endobj 643 0 obj << /Type /StructElem - /S /Div - /P 631 0 R - /K [] + /S /Span + /P 642 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [71] + /Pg 845 0 R >> endobj @@ -6810,7 +6869,7 @@ endobj << /Type /StructElem /S /Div - /P 631 0 R + /P 637 0 R /K [645 0 R] >> endobj @@ -6824,82 +6883,96 @@ endobj /O /Layout /Placement /Block >>] - /K [2] - /Pg 692 0 R + /K [70] + /Pg 845 0 R >> endobj 646 0 obj << /Type /StructElem - /S /Div - /P 631 0 R - /K [] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [67 68 69] + /Pg 845 0 R >> endobj 647 0 obj << /Type /StructElem - /S /Div - /P 631 0 R - /K [648 0 R] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [59 60 61 62 63 64 65 66] + /Pg 845 0 R >> endobj 648 0 obj << /Type /StructElem - /S /Span - /P 647 0 R + /S /Strong + /P 38 0 R /A [<< /O /Layout /Placement /Block >>] - /K [1] - /Pg 692 0 R + /K [58] + /Pg 845 0 R >> endobj 649 0 obj << /Type /StructElem - /S /Div - /P 631 0 R - /K [] + /S /Formula + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [55 56 57] + /Pg 845 0 R >> endobj 650 0 obj << /Type /StructElem - /S /Div - /P 629 0 R - /K [] + /S /Span + /P 38 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [51 52 53 54] + /Pg 845 0 R >> endobj 651 0 obj << /Type /StructElem - /S /Span - /P 33 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 692 0 R + /S /Div + /P 38 0 R + /K [656 0 R 652 0 R] >> endobj 652 0 obj << /Type /StructElem - /S /P - /P 33 0 R - /K [3] - /Pg 690 0 R + /S /Div + /P 651 0 R + /K [655 0 R 653 0 R] >> endobj @@ -6907,19 +6980,18 @@ endobj << /Type /StructElem /S /P - /P 33 0 R - /K [2] - /Pg 690 0 R + /P 652 0 R + /K [654 0 R] >> endobj 654 0 obj << /Type /StructElem - /S /P - /P 33 0 R - /K [1] - /Pg 690 0 R + /S /Formula + /P 653 0 R + /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] + /Pg 845 0 R >> endobj @@ -6927,53 +6999,1548 @@ endobj << /Type /StructElem /S /P - /P 33 0 R - /K [0] - /Pg 690 0 R + /P 652 0 R + /K [30] + /Pg 845 0 R >> endobj 656 0 obj << - /Type /Font - /Subtype /Type0 - /BaseFont /QMHRXT+NewCM10-Bold-Identity-H - /Encoding /Identity-H - /DescendantFonts [657 0 R] - /ToUnicode 660 0 R + /Type /StructElem + /S /Div + /P 651 0 R + /K [] >> endobj 657 0 obj << - /Type /Font - /Subtype /CIDFontType0 - /BaseFont /QMHRXT+NewCM10-Bold - /CIDSystemInfo << - /Registry (Adobe) - /Ordering (Identity) - /Supplement 0 - >> - /FontDescriptor 659 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 39 575 40 40 319 41 41 958 42 42 607 43 43 639 44 44 756 45 45 818 46 46 639 47 47 885 48 48 319 49 49 831 50 50 575 51 52 639 53 53 319 54 54 543 55 55 1092 56 56 904 57 57 724 58 58 575 59 59 607 60 60 319 61 61 869 62 63 447 64 64 527 65 65 800 66 66 900 67 67 797 68 68 607] + /Type /StructElem + /S /L + /P 38 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [666 0 R 662 0 R 658 0 R] >> endobj 658 0 obj << - /Length 13 - /Filter /FlateDecode + /Type /StructElem + /S /LI + /P 657 0 R + /K [661 0 R 659 0 R] >> -stream -x~, -endstream endobj 659 0 obj +<< + /Type /StructElem + /S /LBody + /P 658 0 R + /K [660 0 R 29] + /Pg 845 0 R +>> +endobj + +660 0 obj +<< + /Type /StructElem + /S /Formula + /P 659 0 R + /K [24 25 26 27 28] + /Pg 845 0 R +>> +endobj + +661 0 obj +<< + /Type /StructElem + /S /Lbl + /P 658 0 R + /K [23] + /Pg 845 0 R +>> +endobj + +662 0 obj +<< + /Type /StructElem + /S /LI + /P 657 0 R + /K [665 0 R 663 0 R] 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[(xkoedU4m8QXFjy2IvK4Zag==) (xkoedU4m8QXFjy2IvK4Zag==)] + /Size 910 + /Root 909 0 R + /Info 907 0 R + /ID [(vSENLweA9qdtHr+HgIRhYA==) (vSENLweA9qdtHr+HgIRhYA==)] >> startxref -1193089 +1229973 %%EOF \ No newline at end of file diff --git a/main.typ b/main.typ index b105ebb..5345a42 100644 --- a/main.typ +++ b/main.typ @@ -35,17 +35,21 @@ #v(1fr) ] -#myslide("Plan")[ - #grid( - columns: (auto, 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("Plan")[ + #grid( + columns: (auto, 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 : Communication Numérique")[ #place(center + horizon, dy: 8cm)[ @@ -249,40 +253,40 @@ #let colp = orange #place(dx: 0cm, dy: 2.0cm)[ - #set text(size: 1.1em) - Enfin + #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, - ) - $ + $ + 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) + #v(0.8em) - Vérification du mot de code $display(c = mat(#text(fill: colu)[1], #text(fill: colu)[1], #text(fill: colp)[1], #text(fill: colp)[0], #text(fill: colp)[1]))$ + 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) + #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) - $ + $ + 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")[ @@ -300,57 +304,57 @@ #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)) $ - ] + #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) + - Équivalent à chercher l'erreur $bold(e)$ de poids minimal tel que $bold(H) bold(e)^top = bold(s)$. - #definition(titre: "Le Problème du décodage par Syndrome")[ - NP-Difficile et pour $H$ quelconque : $cal(O)(2^k)$ - ] + #v(0.5em) - - Pour $k=100$ bits, $2^100 approx 10^30$ opérations nécessaires. + #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("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) $ - ] + #definition(titre: [Formalisation des Codes LDPC Réguliers])[ + Code linéaire en bloc avec une matrice de contrôle $bold(H)$ est *clairsemée*. ] - #myslide([Matrice de contrôle])[ - #definition(titre : [Code LDPC $(6, 3)$])[ + - *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()] + #scale(140%)[#hldpc()] ] ] #myslide("De la Matrice aux Équations de Parité")[ - #set text(size: 17pt) + #set text(size: 17pt) #let v_space = 2.83cm @@ -364,12 +368,14 @@ [ // #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 - ) $ - ] - ] + $ + underbrace( + mat(r_0; r_1; #v(v_space);dots.v; r_29; delim: "["), + #text()[Mot reçu] r space in space FF_2^30 + ) + $ + ] + ], ) ] ] @@ -387,7 +393,7 @@ #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.] ] @@ -395,34 +401,34 @@ #myslide("L'Entrelacement des Contraintes")[ #set text(size: 17pt) -#align(center)[ - #move(dx: -1.2cm)[ - #scale(115%)[#hldpc_dual(row1: 0, row2: 14)] + #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 + #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( + #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)[$bold(dots.v)$], - + #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) + #v(1cm) #set align(left) #set text(size: 1.1em) @@ -489,4 +495,229 @@ ] +#myslide("Graphe de Tanner : Définition")[ + #set text(size: 1em) + #definition(titre: [Graphe de Tanner $cal(G)(bold(H))$])[ + #set text(size: 0.9em) + Graphe bipartite $cal(G) = (#text(fill: blue)[$V$] union.sq #text(fill: orange)[$C$], E)$ + : + #v(4pt) + $ (#text(fill: blue)[$v_j$], #text(fill: orange)[$c_i$]) in E space <==> space H_(i,j) = 1 $ + ] + #v(0.4em) + + #set text(size: 1.1em) + #grid( + columns: (1.4fr, 1fr), + gutter: 1em, + [- $#text(fill: blue)[$V$] = {#text(fill: blue)[$v_0$], dots, #text(fill: blue)[$v_(n-1)$]}$ nœuds de *variable*], + [- $|E| = n dot #text(fill: blue)[$w_c$] = m dot #text(fill: orange)[$w_r$]$], + + [ + - $#text(fill: orange)[$C$] = {#text(fill: orange)[$c_0$], dots, #text(fill: orange)[$c_(m-1)$]}$ nœuds de *contrôle* + ], + [- $H tilde.equiv cal(G)$], + + [- $deg(#text(fill: blue)[$v_j$]) = #text(fill: blue)[$w_c$]$], + [- $deg(#text(fill: orange)[$c_i$]) = #text(fill: orange)[$w_r$]$], + ) + + #align(center)[ + #scale(115%)[ + #tanner_illustration() + ] + #text(size: 0.8em, style: "italic", fill: gray.darken(20%))[ + Exemple $n=4, space m=2$ + ] + ] +] + +#myslide("Construction du Graphe : Les Nœuds")[ + + #v(1.2em) + + #align(center)[ + #scale(100%)[ + // #h_mini_tanner() + #grid( + columns: (1fr, 1fr), + gutter: 1em, + + [#hldpc_dynamic(hl_cols: range(30), show_labels: false, h_show: true)], + [#hldpc_dynamic(hl_rows: range(15), show_labels: false, h_show: false)], + ) + ] + ] + + #v(3.5em) + + #align(center)[ + #scale(180%)[ + #tanner_canvas(colored: false) + ] + ] + + // #v(2.5em) + + // #[ + // #set text(size: 1.05em) + // - Chaque *colonne* $j$ de $bold(H)$ $arrow$ nœud de variable #text(fill: blue, weight: "bold")[$v_j in V$] \ #text(fill: blue)[$n = 30$] nœuds, représentés par des *cercles* ○ + // - Chaque *ligne* $i$ de $bold(H)$ $arrow$ nœud de contrôle #text(fill: orange, weight: "bold")[$c_i in C$] \ #text(fill: orange)[$m = 15$] nœuds, représentés par des *carrés* □ + // - Les arêtes seront déterminées par les $1$ de $bold(H)$ — étapes suivantes + // ] +] + +#myslide("Construction du Graphe : Nœud de Contrôle")[ + + #v(1.2em) + + #align(center)[ + #move(dx: 12.6pt, dy: -1.3pt)[ + #scale(100%)[ + #hldpc_dynamic(hl_rows: (0,), show_labels: true, h_show: true) + ] + ] + ] + + #v(3.5em) + + #align(center)[ + #move(dx: 2.7pt, dy: -13.8pt)[ + #scale(180%)[ + #tanner_canvas(hl_row: 0) + ] + ] + ] + + // #v(0.4em) + // #[ + // #set text(size: 1.05em) + // - Ligne #text(fill: orange, weight: "bold")[0] de $bold(H)$ : $bold(H)_(0,j) = 1$ pour $j in {7, 10, 15, 22, 24, 29}$ + // - #text(fill: orange)[$c_0$] est relié à #text(fill: orange)[$v_7, v_10, v_15, v_22, v_24, v_29$] — chaque 1 crée une arête + // - $deg(c_0) = 6 = w_r$ — $c_0$ porte l'équation : #text(fill: orange)[$f_0 : r_7 plus.o r_10 plus.o r_15 plus.o r_22 plus.o r_24 plus.o r_29 = 0$] + // ] +] + +#myslide("Construction du Graphe : Nœud de Variable")[ + + #v(1.2em) + + #align(center)[ + #scale(100%)[ + #hldpc_dynamic(hl_cols: (10,), show_labels: true, h_show: true) + ] + ] + + #v(3.5em) + + #align(center)[ + #move(dx: -0pt, dy: -39pt)[ + #scale(180%)[ + #tanner_canvas(hl_col: 10) + ] + ] + ] + // #v(0.15em) + // #align(center)[ + // #grid( + // columns: (auto, auto), + // column-gutter: 0.7cm, + // align: horizon, + // [#h_mini_tanner(hl_col: 10)], [#tanner_canvas(hl_col: 10)], + // ) + // ] + + // #[ + // #set text(size: 1.05em) + // - Colonne #text(fill: blue, weight: "bold")[10] de $bold(H)$ : $bold(H)_(i,10) = 1$ pour $i in {0, 5, 11}$ + // - #text(fill: blue)[$v_10$] est relié aux nœuds de contrôle #text(fill: blue)[$c_0, c_5, c_11$] — participe à *3 équations* de parité + // - $deg(v_10) = 3 = w_c$ — chaque bit est surveillé par $w_c$ contraintes indépendantes + // ] +] + +#myslide("Graphe de Tanner Final")[ + + #move(dy: 4.5cm)[ + #align(center + horizon)[ + #tanner_canvas(scale: 0.91cm, show_all: true, colored: true, v_c_show: false) + ] + + #align(center)[ + #grid( + columns: (1fr, 1fr), + gutter: 0.45cm, + block( + fill: blue.lighten(88%), + stroke: 0.5pt + blue.lighten(40%), + radius: 6pt, + inset: (x: 10pt, y: 8pt), + width: 100%, + )[ + #place(dx: 47pt, dy: -0pt)[#scale(110%)[#icon_var]] #text(fill: blue, weight: "bold")[ Nœuds de variable] \ + // $n = 30 quad deg = w_c = 3$ + ], + block( + fill: orange.lighten(88%), + stroke: 0.5pt + orange.lighten(40%), + radius: 6pt, + inset: (x: 10pt, y: 8pt), + width: 100%, + )[ + #place(dx: 47pt, dy: -0pt)[#scale(110%)[#icon_chk]] #text( + fill: orange, + weight: "bold", + )[ Nœuds de contrôle] \ + // $m = 15 quad deg = w_r = 6$ + ], + ) + ] + ] +] + +// HARD DECISION +// #myslide("Graphe de Tanner : Utilité")[ +// #grid( +// columns: (1.55fr, 1fr), +// column-gutter: 0.5cm, +// align: top, +// [ +// #definition(titre: "Support du Passage de Messages")[ +// Le graphe de Tanner est le *cadre naturel* des algorithmes de décodage itératifs — il rend la structure du code *explicite et locale* +// ] +// +// #v(0.45em) +// +// #[ +// #set text(size: 1.05em) +// - *Localité* : chaque nœud n'opère qu'avec ses *voisins directs* +// +// - *Itérations — à chaque tour :* +// #pad(left: 0.9em)[ +// #text(fill: blue, weight: "bold")[V → C :] $v_j$ envoie son estimation (LLR) aux $c_i$ voisins \ +// #text(fill: orange, weight: "bold")[C → V :] $c_i$ renvoie une correction aux $v_j$ voisins +// ] +// +// - *Convergence* vers le mot de code le plus vraisemblable +// +// - *Complexité* : $cal(O)(n dot w_c)$ par itération \ vs $cal(O)(2^k)$ pour le MDL — gain *exponentiel* +// ] +// ], +// [ +// #v(0.6em) +// #align(center)[ +// #bp_diagram() +// #v(0.5em) +// #set text(size: 0.79em) +// #stack( +// dir: ttb, +// spacing: 0.25em, +// [#box(width: 1.3em, height: 2pt, fill: blue) +// #h(0.3em) #text(fill: blue, weight: "bold")[$mu_(j arrow i)$ : V → C] (LLR)], +// [#box(width: 1.3em, height: 2pt, fill: orange) +// #h(0.3em) #text(fill: orange, weight: "bold")[$nu_(i arrow j)$ : C → V] (correction)], +// ) +// ] +// ], +// ) +// ]