From b53eb65f5a6cfde831628c8cb2538d37d73dc909 Mon Sep 17 00:00:00 2001 From: fYmious Date: Sun, 21 Dec 2025 19:14:26 +0300 Subject: [PATCH] upd --- labs/lab2/report.pdf | 4072 ++++++++++++++++++++++++++++++------------ labs/lab2/report.typ | 199 ++- 2 files changed, 3093 insertions(+), 1178 deletions(-) diff --git a/labs/lab2/report.pdf b/labs/lab2/report.pdf index eeeaf9d..3c84b4f 100644 --- a/labs/lab2/report.pdf +++ b/labs/lab2/report.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 6 - /Kids [177 0 R 184 0 R 186 0 R 188 0 R 190 0 R 192 0 R] + /Count 13 + /Kids [283 0 R 290 0 R 292 0 R 294 0 R 296 0 R 298 0 R 300 0 R 302 0 R 304 0 R 306 0 R 308 0 R 310 0 R 312 0 R] >> endobj @@ -23,7 +23,7 @@ endobj /Parent 2 0 R /Next 4 0 R /Title - /Dest 172 0 R + /Dest 278 0 R >> endobj @@ -33,7 +33,7 @@ endobj /Next 5 0 R /Prev 3 0 R /Title - /Dest 173 0 R + /Dest 279 0 R >> endobj @@ -43,7 +43,7 @@ endobj /Next 6 0 R /Prev 4 0 R /Title - /Dest 174 0 R + /Dest 280 0 R >> endobj @@ -53,7 +53,7 @@ endobj /Next 7 0 R /Prev 5 0 R /Title - /Dest 175 0 R + /Dest 281 0 R >> endobj @@ -62,7 +62,7 @@ endobj /Parent 2 0 R /Prev 6 0 R /Title - /Dest 176 0 R + /Dest 282 0 R >> endobj @@ -76,134 +76,82 @@ endobj /Strong /Span /Em /Span >> - /K [15 0 R] + /K [22 0 R] /ParentTree << - /Nums [0 9 0 R 1 136 0 R 2 133 0 R 3 130 0 R 4 127 0 R 5 124 0 R 6 10 0 R 7 11 0 R 8 12 0 R 9 13 0 R 10 14 0 R] + /Nums [0 9 0 R 1 242 0 R 2 239 0 R 3 236 0 R 4 233 0 R 5 230 0 R 6 10 0 R 7 11 0 R 8 12 0 R 9 13 0 R 10 14 0 R 11 15 0 R 12 16 0 R 13 17 0 R 14 18 0 R 15 19 0 R 16 20 0 R 17 21 0 R] >> - /ParentTreeNextKey 11 + /ParentTreeNextKey 18 >> endobj 9 0 obj -[145 0 R 144 0 R 143 0 R 142 0 R 141 0 R 140 0 R 139 0 R 138 0 R] +[251 0 R 250 0 R 249 0 R 248 0 R 247 0 R 246 0 R 245 0 R 244 0 R] endobj 10 0 obj -[137 0 R 136 0 R 136 0 R 133 0 R 133 0 R 130 0 R 130 0 R 127 0 R 127 0 R 124 0 R 124 0 R 118 0 R 117 0 R 117 0 R 116 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 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0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 157 0 R 154 0 R 156 0 R 156 0 R 154 0 R 155 0 R 155 0 R 154 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 151 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 149 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 146 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 146 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 145 0 R 144 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 142 0 R] endobj 15 0 obj -<< - /Type /StructElem - /S /Document - /P 8 0 R - /K [145 0 R 144 0 R 143 0 R 142 0 R 141 0 R 140 0 R 139 0 R 138 0 R 137 0 R 119 0 R 118 0 R 117 0 R 116 0 R 115 0 R 114 0 R 113 0 R 112 0 R 111 0 R 110 0 R 109 0 R 108 0 R 107 0 R 106 0 R 104 0 R 103 0 R 102 0 R 101 0 R 99 0 R 97 0 R 96 0 R 95 0 R 94 0 R 93 0 R 92 0 R 91 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 79 0 R 78 0 R 76 0 R 75 0 R 73 0 R 72 0 R 68 0 R 67 0 R 65 0 R 64 0 R 63 0 R 62 0 R 61 0 R 60 0 R 59 0 R 58 0 R 57 0 R 56 0 R 55 0 R 53 0 R 50 0 R 49 0 R 48 0 R 47 0 R 46 0 R 45 0 R 44 0 R 42 0 R 41 0 R 40 0 R 39 0 R 38 0 R 37 0 R 36 0 R 35 0 R 34 0 R 33 0 R 31 0 R 30 0 R 29 0 R 28 0 R 27 0 R 26 0 R 22 0 R 21 0 R 20 0 R 19 0 R 18 0 R 17 0 R 16 0 R] ->> +[141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 140 0 R 140 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 138 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 135 0 R 136 0 R 136 0 R 136 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 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 132 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 132 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 132 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 132 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 132 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 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 131 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R] endobj 16 0 obj -<< - /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [274] - /Pg 192 0 R ->> +[126 0 R 129 0 R 129 0 R 129 0 R 129 0 R 129 0 R 129 0 R 129 0 R 126 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 126 0 R 126 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 126 0 R 126 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 124 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 122 0 R 122 0 R] endobj 17 0 obj -<< - /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [273] - /Pg 192 0 R ->> +[121 0 R 120 0 R 119 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 117 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 116 0 R 113 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 113 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 113 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 110 0 R 111 0 R 111 0 R 111 0 R 111 0 R 110 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 106 0 R 107 0 R 107 0 R 107 0 R 107 0 R 106 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 104 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 101 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 101 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 97 0 R] endobj 18 0 obj -<< - /Type /StructElem - /S /P - /P 15 0 R - /K [271 272] - /Pg 192 0 R ->> +[96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 93 0 R 94 0 R 94 0 R 94 0 R 94 0 R 93 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 92 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 88 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 88 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 83 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 81 0 R 80 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 77 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 77 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 76 0 R 74 0 R 75 0 R 75 0 R 75 0 R 74 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R] endobj 19 0 obj -<< - /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270] - /Pg 192 0 R ->> +[72 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 69 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 65 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 63 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 61 0 R 61 0 R] endobj 20 0 obj -<< - /Type /StructElem - /S /P - /P 15 0 R - /K [235] - /Pg 192 0 R ->> +[60 0 R 59 0 R 58 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 56 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 54 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 53 0 R 51 0 R 52 0 R 52 0 R 51 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 50 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 48 0 R 48 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 46 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 45 0 R 44 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 42 0 R 40 0 R 41 0 R 41 0 R 41 0 R 40 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R] endobj 21 0 obj -<< - /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [225 226 227 228 229 230 231 232 233 234] - /Pg 192 0 R ->> +[38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 36 0 R 37 0 R 37 0 R 37 0 R 36 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 34 0 R 32 0 R 33 0 R 33 0 R 33 0 R 32 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 28 0 R 29 0 R 29 0 R 29 0 R 28 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 27 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 25 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 23 0 R 23 0 R] endobj 22 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [188 25 0 R 196 24 0 R 204 205 23 0 R 223 224] - /Pg 192 0 R + /S /Document + /P 8 0 R + /K [251 0 R 250 0 R 249 0 R 248 0 R 247 0 R 246 0 R 245 0 R 244 0 R 243 0 R 225 0 R 224 0 R 223 0 R 222 0 R 221 0 R 220 0 R 219 0 R 218 0 R 217 0 R 216 0 R 215 0 R 214 0 R 213 0 R 212 0 R 211 0 R 209 0 R 208 0 R 207 0 R 206 0 R 204 0 R 202 0 R 201 0 R 200 0 R 199 0 R 198 0 R 197 0 R 196 0 R 194 0 R 193 0 R 192 0 R 191 0 R 190 0 R 189 0 R 188 0 R 187 0 R 184 0 R 183 0 R 181 0 R 180 0 R 178 0 R 177 0 R 173 0 R 172 0 R 170 0 R 169 0 R 168 0 R 167 0 R 166 0 R 165 0 R 164 0 R 163 0 R 162 0 R 161 0 R 160 0 R 159 0 R 157 0 R 154 0 R 153 0 R 152 0 R 151 0 R 150 0 R 149 0 R 148 0 R 146 0 R 145 0 R 144 0 R 143 0 R 142 0 R 141 0 R 140 0 R 139 0 R 138 0 R 137 0 R 135 0 R 134 0 R 133 0 R 132 0 R 131 0 R 130 0 R 126 0 R 125 0 R 124 0 R 123 0 R 122 0 R 121 0 R 120 0 R 119 0 R 118 0 R 117 0 R 116 0 R 113 0 R 112 0 R 110 0 R 109 0 R 108 0 R 106 0 R 105 0 R 104 0 R 103 0 R 101 0 R 100 0 R 99 0 R 98 0 R 97 0 R 96 0 R 95 0 R 93 0 R 92 0 R 90 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 80 0 R 79 0 R 77 0 R 76 0 R 74 0 R 73 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 62 0 R 61 0 R 60 0 R 59 0 R 58 0 R 57 0 R 56 0 R 55 0 R 54 0 R 53 0 R 51 0 R 50 0 R 49 0 R 48 0 R 47 0 R 46 0 R 45 0 R 44 0 R 43 0 R 42 0 R 40 0 R 39 0 R 38 0 R 36 0 R 35 0 R 34 0 R 32 0 R 31 0 R 30 0 R 28 0 R 27 0 R 26 0 R 25 0 R 24 0 R 23 0 R] >> endobj 23 0 obj << /Type /StructElem - /S /Formula + /S /P /P 22 0 R - /K [206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222] - /Pg 192 0 R + /K [169 170] + /Pg 312 0 R >> endobj @@ -212,18 +160,22 @@ endobj /Type /StructElem /S /Formula /P 22 0 R - /K [197 198 199 200 201 202 203] - /Pg 192 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168] + /Pg 312 0 R >> endobj 25 0 obj << /Type /StructElem - /S /Formula + /S /P /P 22 0 R - /K [189 190 191 192 193 194 195] - /Pg 192 0 R + /K [137] + /Pg 312 0 R >> endobj @@ -231,47 +183,47 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 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 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 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187] - /Pg 192 0 R + /K [111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136] + /Pg 312 0 R >> endobj 27 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [340] - /Pg 190 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110] + /Pg 312 0 R >> endobj 28 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339] - /Pg 190 0 R + /S /P + /P 22 0 R + /K [88 29 0 R 92] + /Pg 312 0 R >> endobj 29 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [280] - /Pg 190 0 R + /S /Formula + /P 28 0 R + /K [89 90 91] + /Pg 312 0 R >> endobj @@ -279,33 +231,37 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279] - /Pg 190 0 R + /K [69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87] + /Pg 312 0 R >> endobj 31 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [244 32 0 R] - /Pg 190 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [54 55 56 57 58 59 60 61 62 63 64 65 66 67 68] + /Pg 312 0 R >> endobj 32 0 obj << /Type /StructElem - /S /Formula - /P 31 0 R - /K [245 246 247] - /Pg 190 0 R + /S /P + /P 22 0 R + /K [49 33 0 R 53] + /Pg 312 0 R >> endobj @@ -313,23 +269,23 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [233 234 235 236 237 238 239 240 241 242 243] - /Pg 190 0 R + /P 32 0 R + /K [50 51 52] + /Pg 312 0 R >> endobj 34 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [232] - /Pg 190 0 R + /S /Formula + /P 22 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] + /Pg 312 0 R >> endobj @@ -337,13 +293,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231] - /Pg 190 0 R + /K [17 18 19 20 21 22 23 24 25 26 27 28 29 30] + /Pg 312 0 R >> endobj @@ -351,9 +307,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [214 215] - /Pg 190 0 R + /P 22 0 R + /K [12 37 0 R 16] + /Pg 312 0 R >> endobj @@ -361,23 +317,23 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213] - /Pg 190 0 R + /P 36 0 R + /K [13 14 15] + /Pg 312 0 R >> endobj 38 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [180] - /Pg 190 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11] + /Pg 312 0 R >> endobj @@ -385,13 +341,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179] - /Pg 190 0 R + /K [245 246 247 248 249 250 251 252 253 254 255 256 257] + /Pg 310 0 R >> endobj @@ -399,9 +355,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [143] - /Pg 190 0 R + /P 22 0 R + /K [240 41 0 R 244] + /Pg 310 0 R >> endobj @@ -409,13 +365,9 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142] - /Pg 190 0 R + /P 40 0 R + /K [241 242 243] + /Pg 310 0 R >> endobj @@ -423,9 +375,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [103 43 0 R 110] - /Pg 190 0 R + /P 22 0 R + /K [239] + /Pg 310 0 R >> endobj @@ -433,71 +385,71 @@ endobj << /Type /StructElem /S /Formula - /P 42 0 R - /K [104 105 106 107 108 109] - /Pg 190 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238] + /Pg 310 0 R >> endobj 44 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102] - /Pg 190 0 R + /S /P + /P 22 0 R + /K [218] + /Pg 310 0 R >> endobj 45 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [77] - /Pg 190 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217] + /Pg 310 0 R >> endobj 46 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 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 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76] - /Pg 190 0 R + /S /P + /P 22 0 R + /K [185] + /Pg 310 0 R >> endobj 47 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [380] - /Pg 188 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184] + /Pg 310 0 R >> endobj 48 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [135 136] + /Pg 310 0 R >> endobj @@ -505,33 +457,37 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354] - /Pg 188 0 R + /K [116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134] + /Pg 310 0 R >> endobj 50 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [323 52 0 R 326 51 0 R 329] - /Pg 188 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115] + /Pg 310 0 R >> endobj 51 0 obj << /Type /StructElem - /S /Formula - /P 50 0 R - /K [327 328] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [88 52 0 R 91] + /Pg 310 0 R >> endobj @@ -539,29 +495,33 @@ endobj << /Type /StructElem /S /Formula - /P 50 0 R - /K [324 325] - /Pg 188 0 R + /P 51 0 R + /K [89 90] + /Pg 310 0 R >> endobj 53 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [291 54 0 R 322] - /Pg 188 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [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] + /Pg 310 0 R >> endobj 54 0 obj << /Type /StructElem - /S /Formula - /P 53 0 R - /K [292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [60] + /Pg 310 0 R >> endobj @@ -569,13 +529,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290] - /Pg 188 0 R + /K [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] + /Pg 310 0 R >> endobj @@ -583,9 +543,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [246] - /Pg 188 0 R + /P 22 0 R + /K [17] + /Pg 310 0 R >> endobj @@ -593,13 +553,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245] - /Pg 188 0 R + /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16] + /Pg 310 0 R >> endobj @@ -607,44 +567,40 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [227] - /Pg 188 0 R + /P 22 0 R + /K [2] + /Pg 310 0 R >> endobj 59 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [1] + /Pg 310 0 R >> endobj 60 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [206] - /Pg 188 0 R + /S /H3 + /P 22 0 R + /T + /K [0] + /Pg 310 0 R >> endobj 61 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [205] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [205 206] + /Pg 308 0 R >> endobj @@ -652,13 +608,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204] - /Pg 188 0 R + /K [174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204] + /Pg 308 0 R >> endobj @@ -666,9 +622,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [175] - /Pg 188 0 R + /P 22 0 R + /K [173] + /Pg 308 0 R >> endobj @@ -676,13 +632,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174] - /Pg 188 0 R + /K [136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172] + /Pg 308 0 R >> endobj @@ -690,9 +646,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [145 66 0 R 153] - /Pg 188 0 R + /P 22 0 R + /K [135] + /Pg 308 0 R >> endobj @@ -700,9 +656,13 @@ endobj << /Type /StructElem /S /Formula - /P 65 0 R - /K [146 147 148 149 150 151 152] - /Pg 188 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134] + /Pg 308 0 R >> endobj @@ -710,33 +670,37 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144] - /Pg 188 0 R + /K [93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114] + /Pg 308 0 R >> endobj 68 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [114 71 0 R 122 70 0 R 124 69 0 R 126] - /Pg 188 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [79 80 81 82 83 84 85 86 87 88 89 90 91 92] + /Pg 308 0 R >> endobj 69 0 obj << /Type /StructElem - /S /Formula - /P 68 0 R - /K [125] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [78] + /Pg 308 0 R >> endobj @@ -744,9 +708,13 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [123] - /Pg 188 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [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] + /Pg 308 0 R >> endobj @@ -754,43 +722,47 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [115 116 117 118 119 120 121] - /Pg 188 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35] + /Pg 308 0 R >> endobj 72 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 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 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 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113] - /Pg 188 0 R + /S /P + /P 22 0 R + /K [0] + /Pg 308 0 R >> endobj 73 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [229 74 0 R 232] - /Pg 186 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271] + /Pg 306 0 R >> endobj 74 0 obj << /Type /StructElem - /S /Formula - /P 73 0 R - /K [230 231] - /Pg 186 0 R + /S /P + /P 22 0 R + /K [220 75 0 R 224] + /Pg 306 0 R >> endobj @@ -798,33 +770,33 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228] - /Pg 186 0 R + /P 74 0 R + /K [221 222 223] + /Pg 306 0 R >> endobj 76 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [204 77 0 R 211] - /Pg 186 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219] + /Pg 306 0 R >> endobj 77 0 obj << /Type /StructElem - /S /Formula - /P 76 0 R - /K [205 206 207 208 209 210] - /Pg 186 0 R + /S /P + /P 22 0 R + /K [171 78 0 R 188] + /Pg 306 0 R >> endobj @@ -832,33 +804,33 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [196 197 198 199 200 201 202 203] - /Pg 186 0 R + /P 77 0 R + /K [172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187] + /Pg 306 0 R >> endobj 79 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [190 191 81 0 R 193 80 0 R 195] - /Pg 186 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170] + /Pg 306 0 R >> endobj 80 0 obj << /Type /StructElem - /S /Formula - /P 79 0 R - /K [194] - /Pg 186 0 R + /S /P + /P 22 0 R + /K [139] + /Pg 306 0 R >> endobj @@ -866,9 +838,13 @@ endobj << /Type /StructElem /S /Formula - /P 79 0 R - /K [192] - /Pg 186 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138] + /Pg 306 0 R >> endobj @@ -876,13 +852,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189] - /Pg 186 0 R + /K [110 111 112 113 114 115] + /Pg 306 0 R >> endobj @@ -890,9 +866,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [156] - /Pg 186 0 R + /P 22 0 R + /K [109] + /Pg 306 0 R >> endobj @@ -900,23 +876,27 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155] - /Pg 186 0 R + /K [104 105 106 107 108] + /Pg 306 0 R >> endobj 85 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [139] - /Pg 186 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [99 100 101 102 103] + /Pg 306 0 R >> endobj @@ -924,57 +904,56 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138] - /Pg 186 0 R + /K [89 90 91 92 93 94 95 96 97 98] + /Pg 306 0 R >> endobj 87 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [116] - /Pg 186 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [77 78 79 80 81 82 83 84 85 86 87 88] + /Pg 306 0 R >> endobj 88 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115] - /Pg 186 0 R + /S /P + /P 22 0 R + /K [69 89 0 R 76] + /Pg 306 0 R >> endobj 89 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [88 90 0 R 93] - /Pg 186 0 R + /S /Formula + /P 88 0 R + /K [70 71 72 73 74 75] + /Pg 306 0 R >> endobj 90 0 obj << /Type /StructElem - /S /Formula - /P 89 0 R - /K [89 90 91 92] - /Pg 186 0 R + /S /P + /P 22 0 R + /K [91 0 R] >> endobj @@ -982,37 +961,33 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [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] - /Pg 186 0 R + /P 90 0 R + /K [54 55 56 57 58 59 60 61 62 63 64 65 66 67 68] + /Pg 306 0 R >> endobj 92 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [61] - /Pg 186 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53] + /Pg 306 0 R >> endobj 93 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60] - /Pg 186 0 R + /S /P + /P 22 0 R + /K [30 94 0 R 35] + /Pg 306 0 R >> endobj @@ -1020,13 +995,9 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39] - /Pg 186 0 R + /P 93 0 R + /K [31 32 33 34] + /Pg 306 0 R >> endobj @@ -1034,9 +1005,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [19] - /Pg 186 0 R + /P 22 0 R + /K [23 24 25 26 27 28 29] + /Pg 306 0 R >> endobj @@ -1044,13 +1015,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18] - /Pg 186 0 R + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22] + /Pg 306 0 R >> endobj @@ -1058,9 +1029,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [196 98 0 R 201 202] - /Pg 184 0 R + /P 22 0 R + /K [326] + /Pg 304 0 R >> endobj @@ -1068,19 +1039,27 @@ endobj << /Type /StructElem /S /Formula - /P 97 0 R - /K [197 198 199 200] - /Pg 184 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325] + /Pg 304 0 R >> endobj 99 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [176 100 0 R 195] - /Pg 184 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294] + /Pg 304 0 R >> endobj @@ -1088,33 +1067,33 @@ endobj << /Type /StructElem /S /Formula - /P 99 0 R - /K [177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194] - /Pg 184 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266] + /Pg 304 0 R >> endobj 101 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [162 163 164 165 166 167 168 169 170 171 172 173 174 175] - /Pg 184 0 R + /S /P + /P 22 0 R + /K [224 102 0 R 239] + /Pg 304 0 R >> endobj 102 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [161] - /Pg 184 0 R + /S /Formula + /P 101 0 R + /K [225 226 227 228 229 230 231 232 233 234 235 236 237 238] + /Pg 304 0 R >> endobj @@ -1122,13 +1101,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160] - /Pg 184 0 R + /K [202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223] + /Pg 304 0 R >> endobj @@ -1136,9 +1115,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [132 105 0 R 140] - /Pg 184 0 R + /P 22 0 R + /K [201] + /Pg 304 0 R >> endobj @@ -1146,33 +1125,33 @@ endobj << /Type /StructElem /S /Formula - /P 104 0 R - /K [133 134 135 136 137 138 139] - /Pg 184 0 R + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200] + /Pg 304 0 R >> endobj 106 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131] - /Pg 184 0 R + /S /P + /P 22 0 R + /K [173 107 0 R 178] + /Pg 304 0 R >> endobj 107 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [108 109] - /Pg 184 0 R + /S /Formula + /P 106 0 R + /K [174 175 176 177] + /Pg 304 0 R >> endobj @@ -1180,47 +1159,47 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107] - /Pg 184 0 R + /K [146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172] + /Pg 304 0 R >> endobj 109 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [79] - /Pg 184 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145] + /Pg 304 0 R >> endobj 110 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78] - /Pg 184 0 R + /S /P + /P 22 0 R + /K [120 111 0 R 125] + /Pg 304 0 R >> endobj 111 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [58] - /Pg 184 0 R + /S /Formula + /P 110 0 R + /K [121 122 123 124] + /Pg 304 0 R >> endobj @@ -1228,13 +1207,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [49 50 51 52 53 54 55 56 57] - /Pg 184 0 R + /K [92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119] + /Pg 304 0 R >> endobj @@ -1242,20 +1221,19 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [48] - /Pg 184 0 R + /P 22 0 R + /K [76 115 0 R 83 114 0 R 91] + /Pg 304 0 R >> endobj 114 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [47] - /Pg 184 0 R + /S /Formula + /P 113 0 R + /K [84 85 86 87 88 89 90] + /Pg 304 0 R >> endobj @@ -1263,23 +1241,23 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [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] - /Pg 184 0 R + /P 113 0 R + /K [77 78 79 80 81 82] + /Pg 304 0 R >> endobj 116 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [14] - /Pg 184 0 R + /S /Formula + /P 22 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] + /Pg 304 0 R >> endobj @@ -1287,238 +1265,238 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [12 13] - /Pg 184 0 R + /P 22 0 R + /K [30] + /Pg 304 0 R >> endobj 118 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [11] - /Pg 184 0 R + /S /Formula + /P 22 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 23 24 25 26 27 28 29] + /Pg 304 0 R >> endobj 119 0 obj << /Type /StructElem - /S /TOC - /P 15 0 R - /K [120 0 R] + /S /P + /P 22 0 R + /K [2] + /Pg 304 0 R >> endobj 120 0 obj << /Type /StructElem - /S /TOC - /P 119 0 R - /K [121 0 R] + /S /P + /P 22 0 R + /K [1] + /Pg 304 0 R >> endobj 121 0 obj << /Type /StructElem - /S /TOC - /P 120 0 R - /K [134 0 R 131 0 R 128 0 R 125 0 R 122 0 R] + /S /H3 + /P 22 0 R + /T + /K [0] + /Pg 304 0 R >> endobj 122 0 obj << /Type /StructElem - /S /TOCI - /P 121 0 R - /K [123 0 R] + /S /P + /P 22 0 R + /K [83 84] + /Pg 302 0 R >> endobj 123 0 obj << /Type /StructElem - /S /Reference - /P 122 0 R + /S /Formula + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [124 0 R] + /K [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] + /Pg 302 0 R >> endobj 124 0 obj << /Type /StructElem - /S /Link - /P 123 0 R - /K [9 10 << - /Type /OBJR - /Pg 184 0 R - /Obj 183 0 R - >>] - /Pg 184 0 R + /S /P + /P 22 0 R + /K [47] + /Pg 302 0 R >> endobj 125 0 obj << /Type /StructElem - /S /TOCI - /P 121 0 R - /K [126 0 R] + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [37 38 39 40 41 42 43 44 45 46] + /Pg 302 0 R >> endobj 126 0 obj << /Type /StructElem - /S /Reference - /P 125 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [127 0 R] + /S /P + /P 22 0 R + /K [0 129 0 R 8 128 0 R 16 17 127 0 R 35 36] + /Pg 302 0 R >> endobj 127 0 obj << /Type /StructElem - /S /Link + /S /Formula /P 126 0 R - /K [7 8 << - /Type /OBJR - /Pg 184 0 R - /Obj 182 0 R - >>] - /Pg 184 0 R + /K [18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34] + /Pg 302 0 R >> endobj 128 0 obj << /Type /StructElem - /S /TOCI - /P 121 0 R - /K [129 0 R] + /S /Formula + /P 126 0 R + /K [9 10 11 12 13 14 15] + /Pg 302 0 R >> endobj 129 0 obj << /Type /StructElem - /S /Reference - /P 128 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [130 0 R] + /S /Formula + /P 126 0 R + /K [1 2 3 4 5 6 7] + /Pg 302 0 R >> endobj 130 0 obj << /Type /StructElem - /S /Link - /P 129 0 R - /K [5 6 << - /Type /OBJR - /Pg 184 0 R - /Obj 181 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block >>] - /Pg 184 0 R + /K [160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347] + /Pg 300 0 R >> endobj 131 0 obj << /Type /StructElem - /S /TOCI - /P 121 0 R - /K [132 0 R] + /S /P + /P 22 0 R + /K [159] + /Pg 300 0 R >> endobj 132 0 obj << /Type /StructElem - /S /Reference - /P 131 0 R + /S /Formula + /P 22 0 R /A [<< /O /Layout /Placement /Block >>] - /K [133 0 R] + /K [100 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184 0 R - /Obj 179 0 R - >>] - /Pg 184 0 R + /K [64 65 66] + /Pg 300 0 R >> endobj 137 0 obj << /Type /StructElem - /S /H1 - /P 15 0 R - /T - /K [0] - /Pg 184 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [52 53 54 55 56 57 58 59 60 61 62] + /Pg 300 0 R >> endobj @@ -1526,19 +1504,23 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [7] - /Pg 177 0 R + /P 22 0 R + /K [51] + /Pg 300 0 R >> endobj 139 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [6] - /Pg 177 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] + /Pg 300 0 R >> endobj @@ -1546,19 +1528,23 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [5] - /Pg 177 0 R + /P 22 0 R + /K [33 34] + /Pg 300 0 R >> endobj 141 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [4] - /Pg 177 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32] + /Pg 300 0 R >> endobj @@ -1566,19 +1552,23 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [3] - /Pg 177 0 R + /P 22 0 R + /K [357] + /Pg 298 0 R >> endobj 143 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [2] - /Pg 177 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356] + /Pg 298 0 R >> endobj @@ -1586,78 +1576,1286 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [1] - /Pg 177 0 R + /P 22 0 R + /K [320] + /Pg 298 0 R >> endobj 145 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [0] - /Pg 177 0 R + /S /Formula + /P 22 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319] + /Pg 298 0 R >> endobj 146 0 obj << 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+#pagebreak() #align(center)[=== Метод вариации постоянной] +(Дощенников Никита) + Напомним вид общего решения для однородного уравнения: $ @@ -325,8 +332,196 @@ $ Дальнейшее решение задачи Коши идентично описанному в первом методе. -#align(center)[=== Операционный метод] -#align(center)[=== Метод разложения в ряд] + +#pagebreak() +#align(center)[=== Операционный метод] (Левахин Лев) +Применим преобразование Лапласа к исходному уравнению: +$ L[y''] - 4L[y'] + 5L[y] = 4L[e^(-2x)] $ + +Используем свойства преобразования Лапласа: +$ (p^2 Y(p) - p y(0) - y'(0)) - 4(p Y(p) - y(0)) + 5Y(p) = 4/(p+2) $ + +Подставим начальные условия $y(0)=0$, $y'(0)=1$: +$ (p^2 Y(p) - 1) - 4p Y(p) + 5Y(p) = 4/(p+2) $ + +Сгруппируем члены с $Y(p)$: +$ (p^2 - 4p + 5)Y(p) - 1 = 4/(p+2) $ +$ (p^2 - 4p + 5)Y(p) = 1 + 4/(p+2) = (p+6)/(p+2) $ + +Выразим $Y(p)$: +$ Y(p) = (p+6)/((p+2)(p^2 - 4p + 5)) $ + +Разложим на простейшие дроби. Для этого сначала представим: +$ Y(p) = A/(p+2) + (B*p + C)/(p^2 - 4p + 5) $ + +Умножим обе части на $(p+2)(p^2 - 4p + 5)$: +$ p+6 = A(p^2 - 4p + 5) + (B*p + C)(p+2) $ +$ p+6 = A p^2 - 4A p + 5A + B p^2 + 2B p + C p + 2C $ +$ p+6 = (A+B)p^2 + (-4A + 2B + C)p + (5A + 2C) $ + +Получим систему уравнений: +$ +cases( + A + B = 0, + -4A + 2B + C = 1, + 5A + 2C = 6 +) +$ +A + B = 0, при p^2 +-4A + 2B + C = 1, при p^1 +5A + 2C = 6, при p^0 + +Из первого уравнения: $B = -A$. Подставим в остальные: +$ +cases( + -4A - 2A + C = 1, + 5A + 2C = 6 +) +$ +$ +cases( + -6A + C = 1, + 5A + 2C = 6 +)$ + +Решим систему: из первого $C = 1 + 6A$, подставим во второе: +$ 5A + 2(1 + 6A) = 6 $ +$ 5A + 2 + 12A = 6 $ +$ 17A = 4 $ +$ A = 4/17 $ + +Тогда: +$ B = -4/17 $ +$ C = 1 + 6*(4/17) = 1 + 24/17 = 41/17 $ + +Итак: +$ Y(p) = (4/17)/(p+2) + ((-4/17)p + 41/17)/(p^2 - 4p + 5) $ + +Преобразуем второе слагаемое. Заметим, что $p^2 - 4p + 5 = (p-2)^2 + 1$: +$ Y(p) = (4/17)/(p+2) + (-4/17 * p + 41/17)/((p-2)^2 + 1) $ + +Выделим в числителе второй дроби слагаемое $p-2$: +$ -4/17 * p + 41/17 = -4/17 * (p-2) - 8/17 + 41/17 = -4/17 * (p-2) + 33/17 $ + +Тогда: +$ Y(p) = (4/17)/(p+2) + (-4/17 * (p-2) + 33/17)/((p-2)^2 + 1) $ +$ Y(p) = (4/17)/(p+2) - (4/17) * (p-2)/((p-2)^2 + 1) + (33/17)/((p-2)^2 + 1) $ + +Применим обратное преобразование Лапласа, используя свойства: +$ L^(-1)[1/(p+2)] = e^(-2t) $ +$ L^(-1)[(p-2)/((p-2)^2 + 1)] = e^(2t) cos t $ +$ L^(-1)[1/((p-2)^2 + 1)] = e^(2t) sin t $ + +Получаем решение: +$ y(x) = (4/17)e^(-2x) - (4/17)e^(2x) cos x + (33/17)e^(2x) sin x $ + +Или в более компактной форме: +$ y(x) = e^(2x)(-frac(4, 17) cos x + frac(33, 17) sin x) + frac(4, 17)e^(-2x) $ + +Полученное решение полностью совпадает с результатами предыдущих методов. + + +#pagebreak() +#align(center)[=== Метод разложения в ряд] (Останин Андрей) + +Ищем решение в виде степенного ряда: +$ +y(x) = sum_(n=0)^infinity a_(n) x^n +$ + +Тогда производные имеют вид: +$ +y'(x) = sum_(n=1)^infinity n a_(n) x^(n-1), quad +y''(x) = sum_(n=2)^infinity n(n-1) a_(n) x^(n-2) +$ + +Правая часть уравнения раскладывается в ряд Тейлора: +$ +4 e^(-2x) = sum_(n=0)^infinity b_(n) x^n, quad +b_(n) = frac(4 (-2)^n, n!) +$ + +Приведём ряды для производных к одинаковым степеням $x^n$: +$ +y'' = sum_(n=0)^infinity (n+2)(n+1) a_(n+2) x^n +$ + +$ +y' = sum_(n=0)^infinity (n+1) a_(n+1) x^n +$ + +Подставляя полученные выражения в исходное дифференциальное уравнение, получаем: +$ +sum_(n=0)^infinity [ +(n+2)(n+1) a_(n+2) +- 4 (n+1) a_(n+1) ++ 5 a_(n) +] x^n += +sum_(n=0)^infinity b_(n) x^n +$ + +Отсюда следует рекуррентное соотношение для коэффициентов: +$ +(n+2)(n+1) a_(n+2) +- 4 (n+1) a_(n+1) ++ 5 a_(n) += +b_(n) +$ + +Начальные условия задачи Коши дают: +$ +a_(0) = y(0) = 0, quad a_(1) = y'(0) = 1 +$ + +Найдём первые коэффициенты ряда. + +При $n = 0$: +$ +2 a_(2) - 4 a_(1) + 5 a_(0) = 4 +$ +$ +2 a_(2) - 4 = 4 arrow.double a_(2) = 4 +$ + +При $n = 1$: +$ +6 a_(3) - 8 a_(2) + 5 a_(1) = -8 +$ +$ +6 a_(3) - 32 + 5 = -8 arrow.double a_(3) = frac(19, 6) +$ + +При $n = 2$: +$ +12 a_(4) - 12 a_(3) + 5 a_(2) = 8 +$ +$ +12 a_(4) - 38 + 20 = 8 arrow.double a_(4) = frac(13, 6) +$ + +При $n = 3$: +$ +20 a_(5) - 16 a_(4) + 5 a_(3) = - frac(16, 3) +$ +$ +20 a_(5) - frac(208, 6) + frac(95, 6) = - frac(16, 3) +arrow.double a_(5) = frac(27, 40) +$ + +Таким образом, решение в виде степенного ряда имеет вид: +$ +y(x) = +x ++ 4 x^2 ++ frac(19, 6) x^3 ++ frac(13, 6) x^4 ++ frac(27, 40) x^5 ++ dots +$ + +Полученное разложение совпадает с рядом Тейлора точного решения, найденного ранее другими методами.