{"id":1050,"date":"2015-06-10T13:54:06","date_gmt":"2015-06-10T13:54:06","guid":{"rendered":"http:\/\/pageperso.math.univ-toulouse.fr\/hippocampe\/?p=1050"},"modified":"2015-06-10T14:13:26","modified_gmt":"2015-06-10T14:13:26","slug":"lycee-raymond-naves-toulouse-jeux-combinatoires","status":"publish","type":"post","link":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/","title":{"rendered":"Lyc\u00e9e Raymond Naves (Toulouse) &#8211; Jeux combinatoires"},"content":{"rendered":"<p style=\"text-align: justify\">Les secondes &#8211; option sport &#8211; du lyc\u00e9e Raymond Naves sont venus ces 8, 9 et 10 juin \u00e0 l&#8217;universit\u00e9 Paul Sabatier de Toulouse. Plein d&#8217;\u00e9nergie, ils ont \u00e9t\u00e9 accueillis \u00a0\u00e0 l&#8217;institut de math\u00e9matiques o\u00f9 on leur a pr\u00e9sent\u00e9 leur th\u00e8me de recherche pour les trois jours : ils r\u00e9fl\u00e9chiront sur des jeux combinatoires.<\/p>\n<div id=\"attachment_1062\" style=\"width: 310px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1062\" class=\"size-medium wp-image-1062   \" alt=\"Deux tas de craies\" src=\"http:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2775-e1433943582859-300x225.jpg\" width=\"300\" height=\"225\" srcset=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2775-e1433943582859-300x225.jpg 300w, https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2775-e1433943582859-1024x768.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><p id=\"caption-attachment-1062\" class=\"wp-caption-text\">Deux tas de craies<\/p><\/div>\n<p style=\"text-align: justify\">Par exemple, faites plusieurs tas d&#8217;allumettes et trouvez un joueur pour vous affronter. \u00a0Chacun leur tour, les deux joueurs peuvent choisir dans leur tas favori autant d&#8217;allumettes qu&#8217;il le souhaite et les retirer. Le perdant est celui qui prend la derni\u00e8re allumette du dernier tas. Pouvez trouver une solution pour gagner \u00e0 tous les coups ? S&#8217;il n&#8217;y a qu&#8217;un tas, c&#8217;est facile ! Mais s&#8217;il y a deux tas, c&#8217;est tout de suite plus compliqu\u00e9. Et que se passe-t-il s&#8217;il y a 3, 4, 5, &#8230; tas ?<\/p>\n<p style=\"text-align: justify\">Au bout de trois jours, les \u00e9l\u00e8ves de Raymond Naves sont devenus redoutables et ils sont pr\u00eats \u00e0 affronter n&#8217;importe quel adversaire. Enfin attention, lorsqu&#8217;il y a beaucoup d&#8217;allumettes ou que les donn\u00e9es du probl\u00e8me sont grandes, il faut parfois encore r\u00e9fl\u00e9chir !<\/p>\n<p style=\"text-align: justify\">Ils ont pr\u00e9sent\u00e9 leurs r\u00e9sultats aupr\u00e8s des membres de l&#8217;institut de math\u00e9matiques. Ils avaient pr\u00e9par\u00e9 des posters sur les jeux suivants :<\/p>\n<ul>\n<li>le jeu de Fort Boyard,<\/li>\n<li>le jeu de Conway,<\/li>\n<li>le jeu de la dame,<\/li>\n<li>le jeu de Nim et<\/li>\n<li>le jeu de Chomp.<\/li>\n<\/ul>\n\n\t\t<style>\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 33%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid #cfcfcf;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-caption {\n\t\t\t\tmargin-left: 0;\n\t\t\t}\n\t\t\t\/* see gallery_shortcode() in wp-includes\/media.php *\/\n\t\t<\/style>\n\t\t<div id='gallery-1' class='gallery galleryid-1050 gallery-columns-3 gallery-size-thumbnail'><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2764\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2764-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1051\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1051'>\n\t\t\t\tJeu de Fort Boyard\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2765\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2765-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1052\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1052'>\n\t\t\t\tJeu de Conway\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2766\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2766-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1053\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1053'>\n\t\t\t\tJeu de Conway\n\t\t\t\t<\/dd><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2767\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2767-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1054\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1054'>\n\t\t\t\tJeu de la dame\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2768\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2768-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1055\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1055'>\n\t\t\t\tJeu de la dame\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2769\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2769-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1056\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1056'>\n\t\t\t\tJeu de Nim\n\t\t\t\t<\/dd><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2770\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2770-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1057\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1057'>\n\t\t\t\tJeu de Nim\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2771\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2771-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1058\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1058'>\n\t\t\t\tJeu de Nim\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2772\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2772-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1059\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1059'>\n\t\t\t\tJeu de Chomp\n\t\t\t\t<\/dd><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2773\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2773-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1060\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1060'>\n\t\t\t\tJeu de Chomp\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/2015\/06\/10\/lycee-raymond-naves-toulouse-jeux-combinatoires\/img_2774\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/files\/2015\/06\/IMG_2774-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-1061\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-1061'>\n\t\t\t\tJeu de Chomp\n\t\t\t\t<\/dd><\/dl>\n\t\t\t<br style='clear: both' \/>\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Les secondes &#8211; option sport &#8211; du lyc\u00e9e Raymond Naves sont venus ces 8, 9 et 10 juin \u00e0 l&#8217;universit\u00e9 Paul Sabatier de Toulouse. Plein d&#8217;\u00e9nergie, ils ont \u00e9t\u00e9 accueillis \u00a0\u00e0 l&#8217;institut de math\u00e9matiques o\u00f9 on leur a pr\u00e9sent\u00e9 leur th\u00e8me de recherche pour les trois jours : ils r\u00e9fl\u00e9chiront sur des jeux combinatoires. Par [&hellip;]<\/p>\n","protected":false},"author":131,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"gallery","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-1050","post","type-post","status-publish","format-gallery","hentry","category-stages","post_format-post-format-gallery"],"_links":{"self":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/posts\/1050","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/users\/131"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/comments?post=1050"}],"version-history":[{"count":14,"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/posts\/1050\/revisions"}],"predecessor-version":[{"id":1077,"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/posts\/1050\/revisions\/1077"}],"wp:attachment":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/media?parent=1050"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/categories?post=1050"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/hippocampe\/wp-json\/wp\/v2\/tags?post=1050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}