{"id":3214,"date":"2020-07-27T14:02:23","date_gmt":"2020-07-27T12:02:23","guid":{"rendered":"http:\/\/trabucaire.free.fr\/?p=3214"},"modified":"2026-07-29T10:54:54","modified_gmt":"2026-07-29T08:54:54","slug":"le-triangle-de-pascal","status":"publish","type":"post","link":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/maths-pour-travailler\/le-triangle-de-pascal\/","title":{"rendered":"XVII\u00b0\/ Le triangle de Pascal\u00a0:"},"content":{"rendered":"<p>Ce n\u2019est pas Blaise Pascal (1623 \u2013 1662) qui l\u2019a trouv\u00e9 mais il fut nomm\u00e9 ainsi en son l&rsquo;honneur. Il est connu sous l&rsquo;appellation \u00ab triangle de Pascal \u00bb en Occident, bien qu&rsquo;il f\u00fbt \u00e9tudi\u00e9 par d&rsquo;autres math\u00e9maticiens, parfois plusieurs si\u00e8cles avant lui, en Inde, en Perse, au Maghreb, en Chine (o\u00f9 il est appel\u00e9 \u00ab triangle de Yang Hui \u00bb), en Allemagne et en Italie.<\/p>\n<p><strong><a href=\"#XVII-I\">I\u00b0\/ Construction :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-II\">II\u00b0\/ Coefficients des \u00e9galit\u00e9s remarques : coefficients binomiaux<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-III\">III\u00b0\/ La combinatoire :<\/a> C\u2019est l\u2019art de compter les objets, actions ou autre.<\/strong><br \/>\n<strong><a href=\"#XVII-IV\">IV\u00b0\/ Trouver les puissances de 2 :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-V\">V\u00b0\/ Trouver les puissances de 11 :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-VI\">VI\u00b0\/ La suite Fibonacci :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-VII\">VII\u00b0\/ La r\u00e8gle de la crosse de hockey :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-VIII\">VIII\u00b0\/ Le triangle de Sierpinski :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-IX\">IX\u00b0\/ Les nombres premiers :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-X\">X\u00b0\/ Multiple de n de la ni\u00e8me ligne :<\/a><\/strong><br \/>\n<strong><a href=\"#XVII-XI\">XI\u00b0\/ D&rsquo;autre trouvailles :<\/a><\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/IzkfjbWffpc\" width=\"1252\" height=\"704\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>Sa construction est simple, mais ses applications sont multiples.<\/p>\n<h2><a id=\"XVII-I\"><\/a>I\u00b0\/ <span style=\"text-decoration: underline;\">Construction :<\/span><\/h2>\n<p>On part du nombre 1 et \u00e0 chaque ligne on rajoute un nombre qui est la somme des 2 nombres qui sont au-dessus de lui. Chaque case est donc la somme des 2 cases qui sont au-dessus, s&rsquo;il n&rsquo;y a pas de case on prend le nombre 0. Donc dans chaque ligne, le premier et le dernier nombre est 1.<\/p>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">2<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\" bgcolor=\"D0E4F5\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\" bgcolor=\"D0E4F5\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">3<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 15.4787%; text-align: center;\" colspan=\"6\" bgcolor=\"D0E4F5\"><strong><span style=\"font-size: 10pt;\">2 = 1 + 1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\" bgcolor=\"D0E4F5\"><strong><span style=\"font-size: 10pt;\">2<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">4<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\" bgcolor=\"800080\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\" bgcolor=\"800080\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">3<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">5<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 15.4787%; text-align: center;\" colspan=\"6\" bgcolor=\"800080\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">4 = 1 + 3<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\" bgcolor=\"800080\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">4<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">4<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">5<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">5<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">7<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\" bgcolor=\"0000ff\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\" bgcolor=\"0000ff\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">8<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 18.2963%; text-align: center;\" colspan=\"8\" bgcolor=\"0000ff\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">35 = 15 + 20<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">7<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\" bgcolor=\"0000ff\"><strong><span style=\"color: #ffffff; font-size: 10pt;\">35<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">35<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">7<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.01313%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">9<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">8<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">28<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">56<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">70<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">56<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">28<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">8<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">9<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">36<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">84<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">126<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">126<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">84<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">36<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">9<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">11<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">45<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">252<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">45<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.96937%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">12<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">11<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">55<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">165<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">330<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">462<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">462<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">330<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">165<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">55<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">11<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">13<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">12<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">66<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">220<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">495<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">792<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">924<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">792<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">495<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">220<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">66<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">12<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">14<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">13<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">78<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">286<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">715<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1287<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1716<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1716<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1287<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">715<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">286<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">78<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">13<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 18.2963%; text-align: center;\" colspan=\"8\"><strong><span style=\"font-size: 10pt;\">3003 = 1287 + 1716<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">14<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">91<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">364<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1001<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">2002<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3432<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">2002<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1001<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">364<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">91<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">14<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">16<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">105<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">455<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1365<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">5005<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6435<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6435<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">5005<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1365<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">455<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">105<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">17<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 0.892061%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">16<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">560<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1820<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">4368<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">8008<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">11440<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">12870<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">11440<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">8008<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">4368<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1820<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">560<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">16<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">18<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 5.85067%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81766%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">17<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">136<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">680<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">2380<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6188<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">12376<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">19448<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">24310<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">24310<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">19448<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">12376<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">6188<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">2380<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">680<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">136<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">17<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">19<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 6.74273%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">18<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">153<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">816<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3060<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">8568<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">18564<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">31824<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">43758<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">48620<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">43758<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">31824<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">18564<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">8568<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3060<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">816<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">153<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">18<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 7.77627%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81766%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">19<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">171<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">969<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3876<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">11628<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">27132<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">50388<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">75582<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">92378<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">92378<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">75582<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">50388<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">27132<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">11628<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">3876<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">969<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">171<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">19<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.03522%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 6.74273%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">190<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1140<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">4845<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">15504<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">38760<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">77520<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">125970<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">167960<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">184756<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">167960<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">125970<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">77520<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">38760<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">15504<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">4845<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1140<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">190<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">22<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81598%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.96082%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 7.77627%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81766%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1330<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">5985<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">20349<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">54264<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">116280<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">203490<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">293930<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">352716<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">352716<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">293930<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">203490<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">116280<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">54264<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">20349<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">5985<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1330<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><strong><span style=\"font-size: 10pt;\">23<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">22<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 6.74273%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">231<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1540<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">7315<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">26334<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">74613<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">170544<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">319770<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">497420<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">646646<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.04279%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">705432<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">646646<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">497420<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">319770<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.9825%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">170544<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">74613<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.89497%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">26334<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">7315<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1540<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">231<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">22<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 1.9256%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 2.407%; text-align: center;\"><span style=\"font-size: 10pt;\"><strong>24<\/strong><\/span><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 4.74158%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.96082%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">23<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 7.77627%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">253<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 2.81766%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1771<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">8855<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">33649<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">100947<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">245157<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">490314<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">817190<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1144066<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03452%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1352078<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.03453%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1352078<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1144066<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">817190<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">490314<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93873%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">245157<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.93874%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">100947<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">33649<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">8855<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1771<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">253<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">23<\/span><\/strong><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 3.8512%; text-align: center;\" colspan=\"2\"><strong><span style=\"font-size: 8pt;\">1<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Chaque case est la somme des 2 cases qui sont au-dessus. C\u2019est-\u00e0-dire que le k<sup>i\u00e8me<\/sup> terme de la n<sup>i\u00e8me <\/sup>ligne est \u00e9gal au (k-1)<sup>i\u00e8me<\/sup> terme de la (n-1)<sup>i\u00e8me <\/sup>ligne plus le k<sup>i\u00e8me<\/sup> terme de la (n-1)<sup>i\u00e8me <\/sup>ligne<\/p>\n<p>Voil\u00e0 comment on l\u2019\u00e9crit plus simplement.<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">C_{n}^{k}=C_{n-1}^{k-1}+C_{n-1}^{k}<\/span> ou avec l\u2019\u00e9criture Fran\u00e7aise <span class=\"katex-eq\" data-katex-display=\"false\">\\binom{n}{k}=\\binom{n-1}{k-1}+\\binom{n-1}{k}<\/span><\/p>\n<p>remarque :<br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">C_{n}^{k}=\\frac{n!}{k!(n - k)!}<\/span><br \/>\nn! = 1 x 2 x 3 x 4 x&#8230;x (n &#8211; 1) x n<br \/>\n(n + 1)! = (n + 1) x n!<br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">(n - 1)! = \\frac{n!}{n}<\/span><\/p>\n<p>D\u00e9monstration :<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\"> (n-1)!= \\frac{n!}{n}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!}{k!\\times (n-k)!}=\\frac{(n-1)!}{(k-1)!\\times(n-1-k+1)!}+\\frac{(n-1)!}{k!\\times(n-1-k)!} <\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!}{k!\\times (n-k)!}=\\frac{\\frac{n!}{n}}{\\frac{k!}{k}\\times(n-k)!}+\\frac{\\frac{n!}{n}}{k!\\times \\frac{(n-k)!}{(n-k)}}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!}{k!\\times (n-k)!}=\\frac{\\frac{n!}{n}\\times k}{k!\\times(n-k)!}+\\frac{\\frac{n!}{n}\\times (n-k)}{k!\\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!}{k!\\times(n-k)!}=\\frac{n!(\\frac{k}{n}+\\frac{n-k}{n})}{k!\\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!}{k!\\times (n-k)!}=\\frac{n!(\\frac{k+n-k}{n})}{k!\\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!}{k!\\times (n-k)!}=\\frac{n!}{k!\\times (n-k)!}<\/span>\n<p>donc\u00a0:<span class=\"katex-eq\" data-katex-display=\"false\"> C_{n}^{k}=C_{n-1}^{k-1}+C_{n-1}^{k}<\/span><\/p>\n<p>On peut aussi dire que, la somme des 2 cases est \u00e9gale \u00e0 celle qui est en dessous de celle de droite. C\u2019est-\u00e0-dire que le k<sup>i\u00e8me<\/sup> terme de la n<sup>i\u00e8me <\/sup>ligne plus le (k+1)<sup>i\u00e8me<\/sup> terme de la n<sup>i\u00e8me <\/sup>ligne et \u00e9gal au le (k+1)<sup>i\u00e8me<\/sup> terme de la (n+1)<sup>i\u00e8me <\/sup>ligne<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">C_{n}^{k}+ C_{n}^{k+1}= C_{n+1}^{k+1}<\/span> ou avec l\u2019\u00e9criture Fran\u00e7aise <span class=\"katex-eq\" data-katex-display=\"false\">\\binom{n}{k}+\\binom{n}{k+1}=\\binom{n+1}{k+1}<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\"> \\frac{n!}{k!\\times (n-k)!}+\\frac{n!}{(k+1)!\\times (n-k-1)!}=\\frac{(n+1)!}{(k+1)!\\times (n+1-k-1)!} <\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\"> \\frac{n!}{k!\\times (n-k)!}+\\frac{n!}{(k+1)\\times k! \\times \\frac{(n-k)!}{(n-k)}}=\\frac{(n+1)!}{(k+1)!\\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\"> \\frac{n!}{k!\\times (n-k)!}+\\frac{n!\\times (n-k)}{(k+1) \\times k!\\times (n-k)!}=\\frac{(n+1)\\times n!}{(k+1) \\times k! \\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{n!(k+1)+n!(n-k)}{(k+1)\\times k!\\times (n-k)!}=\\frac{(n+1)\\times n!}{(k+1)\\times k!\\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\"> \\frac{n!(k+1+n-k)}{(k+1)\\times k!\\times (n-k)!}=\\frac{(n+1)\\times n!}{(k+1)\\times k!\\times (n-k)!}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\"> \\frac{n!(1+n)}{(k+1)k!(n-k)!}=\\frac{(n+1)n!}{(k+1)k!(n-k)!}<\/span>\n<p>&nbsp; <\/p>\n<h2><a id=\"XVII-II\"><\/a>II\u00b0\/ <span style=\"text-decoration: underline;\">Coefficients des \u00e9galit\u00e9s remarques :<\/span> les coefficients binomiaux.<\/h2>\n<p>Il s\u2019agit de d\u00e9velopper l\u2019expression (a+b) \u00e0 l\u2019exposant n, ou n est un entier naturel.<\/p>\n<p>Par exemple : (a+b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/p>\n<p>Et bien le triangle de Pascal permet de d\u00e9terminer les coefficients de chaque membre de l\u2019\u00e9galit\u00e9. Pour cela il faut prendre les coefficients de la ligne (n-1) et \u00e9lever a et b aux puissances successives.<\/p>\n<table style=\"width: 60%; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"border-style: solid; border-color: #000000; width: 40%;\"><span class=\"katex-eq\" data-katex-display=\"false\">(a + b)^{n}=\\sum_{k=0}^{n}\\binom{n}{k}a^{n-k} \\ b^{k}<\/span><\/p>\n<p>Formule du bin\u00f4me de Newton<\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 60%;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\binom{n}{k} = C_{n}^{k}=\\frac{n!}{k! (n - k)!)}<\/span><\/p>\n<p>Coefficients de la (n-1)i\u00e8me ligne du triangle de Pascal.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong>1<\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>0<\/sup> = 1<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong><span style=\"color: #ff0000;\">1<\/span> <span style=\"color: #3366ff;\">1<\/span><\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>1<\/sup> =<span style=\"color: #ff0000;\"> 1<\/span>a + <span style=\"color: #3366ff;\">1<\/span>b<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong><span style=\"color: #ff0000;\">1<\/span> <span style=\"color: #339966;\">2<\/span> <span style=\"color: #3366ff;\">1<\/span><\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>2<\/sup> = <span style=\"color: #ff0000;\">1<\/span>a\u00b2 +<span style=\"color: #339966;\">2<\/span>ab + <span style=\"color: #3366ff;\">1<\/span>b\u00b2<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong><span style=\"color: #ff0000;\">1<\/span> <span style=\"color: #339966;\">3 3<\/span><span style=\"color: #3366ff;\"> 1<\/span><\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>3<\/sup> = <span style=\"color: #ff0000;\">1<\/span>a<sup>3<\/sup> +<span style=\"color: #339966;\"> 3<\/span>a\u00b2b + <span style=\"color: #339966;\">3<\/span>ab\u00b2 + <span style=\"color: #3366ff;\">1<\/span>b<sup>3<\/sup><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong><span style=\"color: #ff0000;\">1<\/span> <span style=\"color: #339966;\">4<\/span> <span style=\"color: #993366;\">6<\/span> <span style=\"color: #339966;\">4<\/span><span style=\"color: #3366ff;\"> 1<\/span><\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>4<\/sup> =<span style=\"color: #ff0000;\"> 1<\/span>a<sup>4<\/sup> + <span style=\"color: #339966;\">4<\/span>a<sup>3<\/sup>b + <span style=\"color: #993366;\">6<\/span>a\u00b2b\u00b2 +<span style=\"color: #339966;\"> 4<\/span>ab<sup>3<\/sup> + <span style=\"color: #3366ff;\">1<\/span>b<sup>4<\/sup><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong><span style=\"color: #ff0000;\">1<\/span><span style=\"color: #339966;\"> 5<\/span> <span style=\"color: #993366;\">10 10<\/span> <span style=\"color: #339966;\">5<\/span> <span style=\"color: #3366ff;\">1<\/span><\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>5<\/sup> = <span style=\"color: #ff0000;\">1<\/span>a<sup>5<\/sup> + <span style=\"color: #339966;\">5<\/span>a<sup>4<\/sup>b + <span style=\"color: #993366;\">10<\/span>a<sup>3<\/sup>b\u00b2 + <span style=\"color: #993366;\">10<\/span>a\u00b2b<sup>3<\/sup> +<span style=\"color: #339966;\"> 5<\/span>ab<sup>4<\/sup> + <span style=\"color: #3366ff;\">1<\/span>b<sup>5<\/sup><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 302.317px; border-style: solid; border-color: #000000;\"><strong><span style=\"color: #ff0000;\">1<\/span> <span style=\"color: #339966;\">6<\/span> <span style=\"color: #993366;\">15<\/span> <span style=\"color: #ff6600;\">20 <\/span><span style=\"color: #993366;\">15 <\/span><span style=\"color: #339966;\">6<\/span> <span style=\"color: #3366ff;\">1<\/span><\/strong><\/td>\n<td style=\"width: 558.267px; border-style: solid; border-color: #000000;\"><strong>(a + b) <sup>6<\/sup> = <span style=\"color: #ff0000;\">1<\/span>a<sup>6<\/sup> + <span style=\"color: #339966;\">6<\/span>a<sup>5<\/sup>b + <span style=\"color: #993366;\">15<\/span>a<sup>4<\/sup>b\u00b2 + <span style=\"color: #ff6600;\">20<\/span>a<sup>3<\/sup>b<sup>3<\/sup> + <span style=\"color: #993366;\">15<\/span>a\u00b2b<sup>4<\/sup> + <span style=\"color: #339966;\">6<\/span>ab<sup>5<\/sup> +<span style=\"color: #3366ff;\"> 1<\/span>b<sup>6<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><a id=\"XVII-III\"><\/a>III\u00b0\/ <span style=\"text-decoration: underline;\">La combinatoire :<\/span> C\u2019est l\u2019art de compter les objets, actions ou autre.<\/h2>\n<p>Par exemple, combien y-a-t \u2019il de fa\u00e7on de choisir k objets parmi n. Et bien ce nombre sera \u00e9gal au (k+1)i\u00e8me coefficient de la (n-1)i\u00e8me ligne du triangle de Pascal<\/p>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr style=\"height: 151px;\">\n<td style=\"width: 21.125%; height: 311px; text-align: center; border-style: solid; border-color: #000000;\" rowspan=\"2\" width=\"521\">\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong>1<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 6.18435%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong>2<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 8.51747%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 8.76398%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong>3<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 6.18435%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>2<\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong>4<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 8.51747%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>3<\/strong><\/td>\n<td style=\"width: 8.76398%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>3<\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong><span style=\"color: #339966;\">5<\/span><\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #339966;\">1<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #339966;\">4<\/span><\/strong><\/td>\n<td style=\"width: 6.18435%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #339966; background-color: #ffff00;\">6<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #339966;\">4<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #339966;\">1<\/span><\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong>6<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>5<\/strong><\/td>\n<td style=\"width: 8.51747%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>10<\/strong><\/td>\n<td style=\"width: 8.76398%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>10<\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>5<\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong>1<\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 6.17907%; border-style: solid; border-color: #000000;\" width=\"27\"><strong><span style=\"color: #3366ff;\">7<\/span><\/strong><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 5.54855%; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff;\">1<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff;\">6<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff;\">15<\/span><\/strong><\/td>\n<td style=\"width: 6.18435%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff; background-color: #ffff00;\">20<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff;\">15<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff;\">6<\/span><\/strong><\/td>\n<td style=\"width: 11.0971%; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"53\"><strong><span style=\"color: #3366ff;\">1<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<td style=\"width: 78.375%; height: 151px; border-style: solid; border-color: #000000;\" width=\"877\"><span style=\"color: #339966;\">Combien y-a-t \u2018il de fa\u00e7on de choisir 2 objets parmi 4 objets a, b, c et d : le (2 + 1) = 3<sup>i\u00e8me<\/sup> nombre de la (4 + 1) = 5<sup>i\u00e8me<\/sup> ligne, c\u2019est-\u00e0-dire 6.<\/span><\/p>\n<p><span style=\"color: #339966;\">Voici les <span style=\"background-color: #ffff00;\">6 couples<\/span> que l\u2019on peut faire : a-b ; a-c ; a-d ; b-c ; b-d ; c-d<\/span><\/td>\n<\/tr>\n<tr style=\"height: 160px;\">\n<td style=\"width: 78.375%; height: 160px; border-style: solid; border-color: #000000;\" width=\"877\"><span style=\"color: #3366ff;\">Combien y-a-t \u2018il de fa\u00e7on de choisir 3 objets parmi 6 objets : le (3 + 1) = 4<sup>i\u00e8me<\/sup> nombre de la (6 + 1) = 7<sup>i\u00e8me<\/sup> ligne, c\u2019est-\u00e0-dire<span style=\"background-color: #ffff00;\"> 20<\/span>.<\/span><\/p>\n<p><span style=\"color: #3366ff;\"><span class=\"katex-eq\" data-katex-display=\"false\">C_{3}^{6} = \\frac{6!}{3!(6 - 3)!)}= \\frac{6 \\times 5\\times4\\times3\\times2}{3\\times2\\times3\\times2}= 5 \\times4 =20<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Bien entendu il existe une formule qui permet de trouver ce r\u00e9sultat sans avoir \u00e0 fabriquer le triangle de Pascal :<\/p>\n<p>Le nombre de choix possible pour choisir k \u00e9l\u00e9ments parmi n est \u00e9gal \u00e0 : <span class=\"katex-eq\" data-katex-display=\"false\">C_{n}^{k} = \\frac{n!}{k!(n - k)!)}<\/span><\/p>\n<p>donc :<\/p>\n<p>Choix de 2 \u00e9l\u00e9ments parmi 4 (le (2 + 1) = 3<sup>i\u00e8me<\/sup> nombre de la (4 + 1) = 5<sup>i\u00e8me<\/sup> ligne) = <span class=\"katex-eq\" data-katex-display=\"false\">C_{4}^{2} = \\frac{4!}{2!(4 - 2)!)}= \\frac{4\\times3\\times2}{2\\times2}= 3 \\times 2= 6<\/span><\/p>\n<p>Choix de 3 \u00e9l\u00e9ments parmi 6 (le (3 + 1) = 4<sup>i\u00e8me<\/sup> nombre de la (6 + 1) = 7<sup>i\u00e8me<\/sup> ligne) = <span class=\"katex-eq\" data-katex-display=\"false\">C_{6}^{3} = \\frac{6!}{3!(6 - 3)!)}= \\frac{6 \\times 5\\times4\\times3\\times2}{3\\times2\\times3\\times2}= 5 \\times4 =20<\/span><\/p>\n<h2><a id=\"XVII-IV\"><\/a>IV\u00b0\/ <span style=\"text-decoration: underline;\">Trouver les puissances de 2 :<\/span><\/h2>\n<p>Si on additionne tous les nombres de la ligne n on obtient 2<sup>n-1<\/sup>.<\/p>\n<p><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/Pascal_Triangle_4.png\" alt=\"\" \/><\/p>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.87027%; text-align: center; border-style: solid; border-color: #000000;\" width=\"30\"><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" width=\"30\"><\/td>\n<td style=\"width: 111.111%; text-align: center; border-style: solid; border-color: #000000;\" width=\"30\"><\/td>\n<td style=\"width: 1.87027%; text-align: center; border-style: solid; border-color: #000000;\" width=\"30\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\"><strong>n<\/strong><\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\"><strong>Somme<\/strong><\/td>\n<td style=\"width: 20%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\"><strong>2<sup>n-1<\/sup><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.87027%; text-align: center; border-style: solid; border-color: #000000;\" width=\"30\"><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt; color: #000000;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.87027%; text-align: center; border-style: solid; border-color: #000000;\" width=\"30\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">1<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">1<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">2<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">2<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^1<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">2<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">3<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">4<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^2<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">3<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">3<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">4<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">8<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^3<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">4<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">4<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">5<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">16<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^4<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">5<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">5<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">6<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">32<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^5<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">6<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">7<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">64<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^6<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">7<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">35<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">35<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">7<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.83048%; text-align: center; border-style: solid; border-color: #000000;\" width=\"29\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">8<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">128<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^7<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">8<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">28<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">56<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">70<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">56<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">28<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">8<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">9<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">256<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^8<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">9<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">36<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">84<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">126<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">126<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">84<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">36<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">9<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">10<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">512<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^9<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">45<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">252<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">45<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">10<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.79069%; text-align: center; border-style: solid; border-color: #000000;\" width=\"28\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">11<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">1024<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^10<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">11<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">55<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">165<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">330<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">462<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">462<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">330<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">165<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">55<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">11<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">12<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">2048<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^11<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">12<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">66<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">220<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">495<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">792<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">924<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">792<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">495<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">220<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">66<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">12<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">13<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">4096<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^12<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">13<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">78<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">286<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">715<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1287<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">1716<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">1716<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1287<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">715<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">286<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">78<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">13<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">14<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">8192<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^13<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">14<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">91<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">364<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1001<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">2002<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">3432<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">2002<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">1001<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">364<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">91<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">14<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">15<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">16384<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^14<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">105<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">455<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1365<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">5005<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">6435<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">6435<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">5005<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">3003<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1365<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">455<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">105<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">15<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">16<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">32768<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^15<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">16<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">560<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1820<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">4368<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">8008<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">11440<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">12870<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">11440<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">8008<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">4368<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1820<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">560<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">120<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">16<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">17<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">65536<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^16<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">17<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">136<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">680<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">2380<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">6188<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">12376<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">19448<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">24310<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">24310<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">19448<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">12376<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">6188<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">2380<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">680<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">136<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">17<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">18<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">131072<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^17<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">18<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">153<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">816<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">3060<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">8568<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">18564<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">31824<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">43758<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">48620<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">43758<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">31824<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">18564<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">8568<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">3060<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">816<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">153<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">18<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">19<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">262144<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^18<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">19<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">171<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">969<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">3876<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">11628<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">27132<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">50388<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">75582<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">92378<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">92378<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">75582<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">50388<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">27132<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">11628<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">3876<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">969<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">171<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">19<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">20<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">524288<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^19<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">190<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1140<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">4845<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">15504<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">38760<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">77520<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">125970<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">167960<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">184756<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">167960<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">125970<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">77520<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">38760<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">15504<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">4845<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1140<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">190<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">20<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">21<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">1048576<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^20<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1330<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">5985<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">20349<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">54264<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">116280<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">203490<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">293930<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">352716<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">352716<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">293930<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">203490<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">116280<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">54264<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">20349<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">5985<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1330<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">210<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">21<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">22<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">2097152<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^21<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 1.94986%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">22<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">231<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1540<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">7315<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">26334<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">74613<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">170544<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">319770<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">497420<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">646646<\/span><\/strong><\/td>\n<td style=\"width: 224.092%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">705432<\/span><\/strong><\/td>\n<td style=\"width: 3.70075%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"58\"><strong><span style=\"font-size: 10pt;\">646646<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">497420<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">319770<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">170544<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">74613<\/span><\/strong><\/td>\n<td style=\"width: 3.54159%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"55\"><strong><span style=\"font-size: 10pt;\">26334<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">7315<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1540<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">231<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">22<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">23<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">4194304<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^22<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 3.70076%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">23<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">253<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1771<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">8855<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">33649<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">100947<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">245157<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">490314<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">817190<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1144066<\/span><\/strong><\/td>\n<td style=\"width: 114.852%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">1352078<\/span><\/strong><\/td>\n<td style=\"width: 112.981%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"59\"><strong><span style=\"font-size: 10pt;\">1352078<\/span><\/strong><\/td>\n<td style=\"width: 3.66096%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">1144066<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">817190<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"57\"><strong><span style=\"font-size: 10pt;\">490314<\/span><\/strong><\/td>\n<td style=\"width: 3.62117%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">245157<\/span><\/strong><\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"56\"><strong><span style=\"font-size: 10pt;\">100947<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">33649<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">8855<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1771<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">253<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">23<\/span><\/strong><\/td>\n<td style=\"width: 3.5018%; text-align: center; border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"54\"><strong><span style=\"font-size: 10pt;\">1<\/span><\/strong><\/td>\n<td style=\"width: 1.7509%; text-align: center; border-style: solid; border-color: #000000;\" width=\"27\"><\/td>\n<td style=\"width: 2.02945%; text-align: center; border-style: solid; border-color: #000000;\" width=\"34\">24<\/td>\n<td style=\"width: 4.41703%; text-align: center; border-style: solid; border-color: #000000;\" width=\"94\">8388608<\/td>\n<td style=\"width: 3.58138%; text-align: center; border-style: solid; border-color: #000000;\" width=\"73\">2^23<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>D\u00e9monstration : d\u2019apr\u00e8s la formule du bin\u00f4me de Newton<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">(a + b)^{n}=\\sum_{k=0}^{n}\\binom{n}{k}a^{n-k}\\ b^{k}<\/span>\n<p>Si on prend a = b = 1 on a :<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">(1 + 1)^{n}=2^{n}= \\sum_{k=0}^{n}\\binom{n}{k}\\times 1^{n-k} \\times 1^{k}= \\sum_{k=0}^{n}\\binom{n}{k}<\/span>\n<p>Donc 2<sup>n<\/sup> est \u00e9gal \u00e0 la somme des termes d\u2019une ligne du triangle de Pascal.<\/p>\n<h2><a id=\"XVII-V\"><\/a>V\u00b0\/ <span style=\"text-decoration: underline;\">Trouver les puissances de 11 :<\/span><\/h2>\n<p>C\u2019est un peu plus compliqu\u00e9 et fastidieux. Les nombres du triangle de Pascal repr\u00e9sentent les coefficients des puissances de 10 successives.<\/p>\n<table style=\"border-collapse: collapse; border-style: solid; border-color: #000000; width: 100%; height: 467px;\">\n<tbody>\n<tr style=\"height: 439px;\">\n<td style=\"border-style: solid; border-color: #000000; width: 50%; height: 439px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"\/Media\/Maths\/Bizarre\/pascal01.jpg\" alt=\"\" width=\"700\" height=\"374\" \/><\/td>\n<td style=\"border-style: solid; border-color: #000000; width: 50%; height: 439px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"\/Media\/Maths\/Bizarre\/pascal02.jpg\" alt=\"\" width=\"700\" height=\"490\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><a id=\"XVII-VI\"><\/a>VI\u00b0\/ <span style=\"text-decoration: underline;\">La suite Fibonacci :<\/span><\/h2>\n<p>Cette suite c\u00e9l\u00e8bre est constitu\u00e9e en partant de 0 puis 1. On obtient les nombres suivants en additionnant les deux nombres pr\u00e9c\u00e9dents.<\/p>\n<p><strong><span style=\"color: #ff0000;\">0<\/span><\/strong> ; <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> ; <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> = 0 + 1 ; <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span> = 1 + 1; <span style=\"color: #ff0000;\"><strong>3 <\/strong><\/span>= 2 + 1 ;<span style=\"color: #ff0000;\"><strong> 5 <\/strong><\/span>= 3 + 2 \u2026.<\/p>\n<p>Et bien en additionnant les diagonales ascendantes comme sur la figure ci-dessous, on obtient la suite Fibonacci.<\/p>\n<p><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal03.jpg\" alt=\"\" \/><\/p>\n<p><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal12.jpg\" alt=\"\" \/><\/p>\n<p>Vous aurez <a href=\"http:\/\/trabucaire.free.fr\/index.php\/non-classe-intermediaire\/horloge-de-fibonacci\/\" target=\"_blank\" rel=\"noopener noreferrer\">ici une merveilleuse horloge de Fibonacci.<\/a><\/p>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 50%; border-style: solid; border-color: #000000;\"><iframe loading=\"lazy\" title=\"Encoding the Fibonacci Sequence Into Music\" src=\"\/\/www.youtube.com\/embed\/IGJeGOw8TzQ\" width=\"640\" height=\"359\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>Une autre merveille : et si on attribuait une note pour chaque chiffre et que l&rsquo;on jouait la suite de Fibonacci, cela donnerait quoi ?<\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000;\"><iframe loading=\"lazy\" src=\"\/\/player.vimeo.com\/video\/935901300?title=0&amp;amp;byline=0\" width=\"640\" height=\"400\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"http:\/\/www.johnedmark.com\/\" target=\"_blank\" rel=\"noopener noreferrer\">John Edmark<\/a> s&rsquo;amuse avec Fibonacci dans des constructions de toutes beaut\u00e9s.<\/p>\n<p><span class=\"HwtZe\" lang=\"fr\"><span class=\"jCAhz ChMk0b\"><span class=\"ryNqvb\">Lorsqu&rsquo;elle est film\u00e9e \u00e0 24 images par seconde et tourn\u00e9e \u00e0 550 tours par minute, chaque image repr\u00e9sente une rotation de 137,5 degr\u00e9s, ce qui \u00e9quivaut \u00e0 l&rsquo;angle d&rsquo;or.<\/span><\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><a id=\"XVII-VII\"><\/a>VII\u00b0\/ <span style=\"text-decoration: underline;\">La r\u00e8gle de la crosse de hockey :<\/span><\/h2>\n<p>Si on ajoute les nombres qui se suivent dans une diagonale, on obtient cette somme en bas \u00e0 droite de la diagonale.<\/p>\n<p><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal04.png\" alt=\"\" \/><\/p>\n<h2><a id=\"XVII-VIII\"><\/a>VIII\u00b0\/ <span style=\"text-decoration: underline;\">Le triangle de Sierpinski :<\/span><\/h2>\n<p>Si on enl\u00e8ve les nombres pairs du triangle Pascal on obtient celui de Sierpinski.<\/p>\n<p><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal13.jpg\" alt=\"\" \/><\/p>\n<table style=\"width: 70%; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 60%; border-style: solid; border-color: #000000;\" colspan=\"3\" width=\"657\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"\/Media\/Maths\/Bizarre\/pascal05.png\" alt=\"\" width=\"1200\" height=\"391\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 15%; border-style: solid; border-color: #000000; text-align: center;\" width=\"217\"><strong>Triangle de Sierpinski<\/strong><\/td>\n<td style=\"width: 20%; border-style: solid; border-color: #000000; text-align: center;\" width=\"217\"><strong>Triangle de Pascal<\/strong><\/td>\n<td style=\"width: 20%; border-style: solid; border-color: #000000; text-align: center;\" width=\"223\"><strong>Les deux<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><a id=\"XVII-IX\"><\/a>IX\u00b0\/ <span style=\"text-decoration: underline;\">Les nombres premiers :<\/span><\/h2>\n<p>Le triangle de Pascal peut nous donner certains nombres premiers, avec une manipulation un peu fastidieuse, mais qui d\u00e9montre qu\u2019il y a une infinit\u00e9 de nombres premiers.<\/p>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\"><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal06.jpg\" alt=\"\" \/><\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\"><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal07.jpg\" alt=\"\" \/><\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\"><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal08.jpg\" alt=\"\" \/><\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"10%\"><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal09.jpg\" alt=\"\" \/><\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\"><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal10.jpg\" alt=\"\" \/><\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"10%\"><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal11.jpg\" alt=\"\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\">Voici le d\u00e9but du triangle de Pascal.<\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\">Rempla\u00e7ons les nombres pairs par 0 et les impairs par 1.<\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"20%\">Rapprochons les nombres. On obtient des nombres binaires.<\/td>\n<td style=\"border-style: solid; border-color: #000000;\" width=\"10%\">Traduisons les nombres binaires en nombres d\u00e9cimaux.<\/td>\n<td style=\"border-style: solid; border-color: #000000;\" colspan=\"2\" width=\"30%\">D\u00e8s que l\u2019on a un nombre premier, il faut le multiplier successivement \u00e0 tous les r\u00e9sultats pr\u00e9c\u00e9dents avant de retrouver un nouveau nombre premier.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>On peut aussi les trouver directement.<\/p>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 50%; border-style: solid; border-color: #000000;\"><img decoding=\"async\" class=\"aligncenter\" src=\"\/Media\/Maths\/Bizarre\/Pascal_Triangle_6.png\" alt=\"\" \/><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000;\">Dans certaines rang\u00e9es du triangle de Pascal, la concat\u00e9nation des nombres forme des nombres premiers (surlign\u00e9s en orange sur l&rsquo;image). Bien que rares, ces mod\u00e8les mettent en \u00e9vidence de curieuses sym\u00e9tries num\u00e9riques.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><a id=\"XVII-X\"><\/a>X\u00b0\/ <span style=\"text-decoration: underline;\">Multiple de n de la ni\u00e8me ligne :<\/span><\/h2>\n<p>Une propri\u00e9t\u00e9 assez \u00e9trange est que si pour la ni\u00e8me ligne, n est un nombre premier, alors cette ligne ne contient que des multiples de n, en enlevant les deux 1.<\/p>\n<p><img decoding=\"async\" src=\"\/Media\/Maths\/Bizarre\/pascal14.jpg\" alt=\"\" \/><\/p>\n<p>Par exemple, \u00e0 la 7i\u00e8me ligne, il n&rsquo;y a que des multiples de 7 : 7, 21 et 35.<\/p>\n<h2><a id=\"XVII-XI\"><\/a>XI\u00b0\/ <span style=\"text-decoration: underline;\">D&rsquo;autre trouvailles :<\/span><\/h2>\n<table style=\"width: auto; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr style=\"height: 371px;\">\n<td style=\"width: 50%; height: 371px; border-style: solid; border-color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"\/Media\/Maths\/Bizarre\/Pascal_Triangle_2.png\" alt=\"\" width=\"665\" height=\"377\" \/><\/td>\n<td style=\"width: 50%; height: 371px; border-style: solid; border-color: #000000;\">Dans la deuxi\u00e8me diagonale du triangle de Pascal, le carr\u00e9 de n&rsquo;importe quel nombre est \u00e9gal \u00e0 la somme des nombres directement \u00e0 c\u00f4t\u00e9 de lui et en dessous de ceux de la rang\u00e9e suivante.<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px; border-style: solid; border-color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"\/Media\/Maths\/Bizarre\/Pascal_Triangle_3.png\" alt=\"\" width=\"665\" height=\"410\" \/><\/td>\n<td style=\"width: 50%; height: 24px; border-style: solid; border-color: #000000;\">Chaque diagonale du triangle de Pascal, de droite \u00e0 gauche, contient des s\u00e9quences de nombres c\u00e9l\u00e8bres :<\/p>\n<p>1\u00b0\/ nombres repunits : nombres compos\u00e9s seulement de 1.<br \/>\n2\u00b0\/ nombres naturels : nombres sans\u00a0signe\u00a0et sans\u00a0virgule.<br \/>\n3\u00b0\/ nombres triangulaires : Nombres entiers naturels de la forme n(n+1)\/2 , n \u00e9tant un entier naturel. t<sub>3<\/sub>\u00a0= 3+2+1 = 6 est le 3i\u00e8me nombre triangulaire car 6 = 3(3+1)\/2<br \/>\n4\u00b0\/ nombres t\u00e9tra\u00e9driques : ou\u00a0nombre pyramidal triangulaire, est un\u00a0nombre figur\u00e9\u00a0qui peut \u00eatre repr\u00e9sent\u00e9 graphiquement par une\u00a0pyramide\u00a0de base\u00a0triangulaire, c&rsquo;est-\u00e0-dire un\u00a0t\u00e9tra\u00e8dre, dont chaque couche repr\u00e9sente un\u00a0nombre triangulaire.<br \/>\n5\u00b0\/ nombres pentatopiques : ou\u00a0nombre pentachorique, ou encore\u00a0nombre hypert\u00e9tra\u00e9drique <sup id=\"cite_ref-1\" class=\"reference\"><\/sup>est un nombre\u00a0figur\u00e9\u00a0qui peut id\u00e9alement \u00eatre repr\u00e9sent\u00e9 en dimension 4 par un\u00a0pentatope\u00a0(ou hypert\u00e9tra\u00e8dre) constitu\u00e9 d&rsquo;un empilement de\u00a0t\u00e9tra\u00e8dres r\u00e9guliers.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Ce n\u2019est pas Blaise Pascal (1623 \u2013 1662) qui l\u2019a trouv\u00e9 mais il fut nomm\u00e9 ainsi en son l&rsquo;honneur. Il est connu sous l&rsquo;appellation \u00ab triangle de Pascal \u00bb en Occident, bien qu&rsquo;il f\u00fbt \u00e9tudi\u00e9 par d&rsquo;autres math\u00e9maticiens, parfois plusieurs si\u00e8cles avant lui, en Inde, en Perse, au Maghreb, en Chine (o\u00f9 il est appel\u00e9 &#8230; <a title=\"XVII\u00b0\/ Le triangle de Pascal\u00a0:\" class=\"read-more\" href=\"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/maths-pour-travailler\/le-triangle-de-pascal\/\" aria-label=\"En savoir plus sur XVII\u00b0\/ Le triangle de Pascal\u00a0:\">Lire la suite<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[58,11],"tags":[53,50],"class_list":["post-3214","post","type-post","status-publish","format-standard","hentry","category-les-maths-sont-bizarres","category-maths-pour-travailler","tag-les-maths-sont-bizarres","tag-maths-pour-travailler"],"_links":{"self":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/posts\/3214","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3214"}],"version-history":[{"count":0,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/posts\/3214\/revisions"}],"wp:attachment":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/categories?post=3214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/tags?post=3214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}