{"id":49668,"date":"2021-02-25T08:47:15","date_gmt":"2021-02-25T06:47:15","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=49668"},"modified":"2021-02-25T08:47:15","modified_gmt":"2021-02-25T06:47:15","slug":"%ce%b1%cf%87%ce%af%ce%bb%ce%bb%ce%b5%ce%b9%ce%bf%ce%b9-%ce%b1%cf%81%ce%b9%ce%b8%ce%bc%ce%bf%ce%af","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=49668","title":{"rendered":"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af"},"content":{"rendered":"

<\/p>\n

\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03c7\u03c5\u03c1\u03cc\u03c2(powerful) \u03ba\u03b1\u03b9 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03ba\u03b5\u03c1\u03b1\u03af\u03bf\u03c5 (\u03c4\u03ad\u03bb\u03b5\u03b9\u03b1 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7). \u0388\u03bd\u03b1\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03b9\u03c3\u03c7\u03c5\u03c1\u03cc\u03c2 (powerful) \u03b1\u03bd \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03c1\u03ce\u03c4\u03bf \u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c4\u03b7 \u03c4\u03bf\u03c5 p \u03c4\u03cc\u03c4\u03b5 \u03ba\u03b1\u03b9 \u03bf p^2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c4\u03b7\u03c2 \u03c4\u03bf\u03c5.<\/p>\n

\u039f\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03c5\u03c4\u03bf\u03af \u03bf\u03bd\u03bf\u03bc\u03b1\u03c3\u03c4\u03ae\u03ba\u03b1\u03bd \u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b4\u03b9\u03cc\u03c4\u03b9 \u03b5\u03bd\u03ce \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03c7\u03c5\u03c1\u03bf\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c4\u03b5\u03bb\u03b5\u03af\u03c2. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03bf 108,\u03b5\u03bd\u03ce \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03ba\u03b5\u03c1\u03b1\u03af\u03bf\u03c5 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9: 108=2^2\u00b73^3<\/p>\n

\u039f\u03b9 \u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf 5000 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n

72,108,200,288,392,432,500,648,675,800,864,968,972,1125,1152,1323,1352,1372,1568,1800,1944,2000,2312,2592,2700,2888,3087,3200,3267,3456,3528,3872,3888,4000,4232,4500,4563,4608,5000<\/p>\n

(\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 A052486\u00a0\u00a0\u03c3\u03c4\u03bf\u03bd \u03b1\u03c0\u03cc\u03bb\u03c5\u03c4\u03bf \u03b5\u03b3\u03ba\u03c5\u03ba\u03bb\u03bf\u03c0\u03b1\u03b9\u03b4\u03b9\u03ba\u03cc \u03b9\u03c3\u03c4\u03cc\u03c4\u03bf\u03c0\u03bf \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b9\u03ce\u03bd OEIS<\/p>\n

(https:\/\/oeis.org\/A052486?fbclid=IwAR2UpxYaBmdmXFUVDpSJ7BBxwdijGrfNkhlKzm5pyWFrwhpoReHSY8tlz44<\/a>).<\/p>\n

\u03a4\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c2 \u03b4\u03b9\u03b1\u03b4\u03bf\u03c7\u03b9\u03ba\u03ce\u03bd \u03b1\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03b5\u03af\u03bd\u03b1\u03b9;<\/p>\n

5425069447 = 7^3 \u00d7 41^2 \u00d7 97^2 , 5425069448 = 2^3 \u00d7 26041^2<\/p>\n

https:\/\/en.wikipedia.org\/wiki\/Achilles_number<\/a><\/p>\n

<\/p>\n

\u03c0\u03b7\u03b3\u03ae: http:\/\/mathhmagic.blogspot.com<\/a>\/<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[16,33],"tags":[],"jetpack_publicize_connections":[],"yoast_head":"\n\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/omathimatikos.gr\/?p=49668\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\" \/>\n<meta property=\"og:url\" content=\"https:\/\/omathimatikos.gr\/?p=49668\" \/>\n<meta property=\"og:site_name\" content=\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/omathimatikos\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-02-25T06:47:15+00:00\" \/>\n<meta name=\"author\" content=\"...\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u03a3\u03c5\u03bd\u03c4\u03ac\u03c7\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc\" \/>\n\t<meta name=\"twitter:data1\" content=\"...\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0395\u03ba\u03c4\u03b9\u03bc\u03ce\u03bc\u03b5\u03bd\u03bf\u03c2 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c2 \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7\u03c2\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u03bb\u03b5\u03c0\u03c4\u03cc\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=49668#article\",\"isPartOf\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=49668\"},\"author\":{\"name\":\"...\",\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe\"},\"headline\":\"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af\",\"datePublished\":\"2021-02-25T06:47:15+00:00\",\"dateModified\":\"2021-02-25T06:47:15+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=49668\"},\"wordCount\":27,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/omathimatikos.gr\/#organization\"},\"articleSection\":[\"\u0395\u039a\u03a0\u0391\u0399\u0394\u0395\u03a5\u03a4\u0399\u039a\u0391 \u039d\u0395\u0391\",\"\u0395\u039d\u0394\u0399\u0391\u03a6\u0395\u03a1\u039f\u039d\u03a4\u0391\"],\"inLanguage\":\"el\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/omathimatikos.gr\/?p=49668#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=49668\",\"url\":\"https:\/\/omathimatikos.gr\/?p=49668\",\"name\":\"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\",\"isPartOf\":{\"@id\":\"https:\/\/omathimatikos.gr\/#website\"},\"datePublished\":\"2021-02-25T06:47:15+00:00\",\"dateModified\":\"2021-02-25T06:47:15+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=49668#breadcrumb\"},\"inLanguage\":\"el\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/omathimatikos.gr\/?p=49668\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=49668#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/omathimatikos.gr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/omathimatikos.gr\/#website\",\"url\":\"https:\/\/omathimatikos.gr\/\",\"name\":\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\",\"description\":\"\u039a\u03ce\u03c3\u03c4\u03b1\u03c2 \u039c\u03c0\u03bf\u03c5\u03c1\u03b1\u03b6\u03ac\u03bd\u03b1\u03c2\",\"publisher\":{\"@id\":\"https:\/\/omathimatikos.gr\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/omathimatikos.gr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"el\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/omathimatikos.gr\/#organization\",\"name\":\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\",\"url\":\"https:\/\/omathimatikos.gr\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"el\",\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/\",\"url\":\"\",\"contentUrl\":\"\",\"caption\":\" \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\"},\"image\":{\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/omathimatikos\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe\",\"name\":\"...\",\"sameAs\":[\"http:\/\/omathimatikos.gr\"],\"url\":\"https:\/\/omathimatikos.gr\/?author=2\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/omathimatikos.gr\/?p=49668","og_locale":"el_GR","og_type":"article","og_title":"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","og_url":"https:\/\/omathimatikos.gr\/?p=49668","og_site_name":"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","article_publisher":"https:\/\/www.facebook.com\/omathimatikos\/","article_published_time":"2021-02-25T06:47:15+00:00","author":"...","twitter_card":"summary_large_image","twitter_misc":{"\u03a3\u03c5\u03bd\u03c4\u03ac\u03c7\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc":"...","\u0395\u03ba\u03c4\u03b9\u03bc\u03ce\u03bc\u03b5\u03bd\u03bf\u03c2 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c2 \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7\u03c2":"1 \u03bb\u03b5\u03c0\u03c4\u03cc"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/omathimatikos.gr\/?p=49668#article","isPartOf":{"@id":"https:\/\/omathimatikos.gr\/?p=49668"},"author":{"name":"...","@id":"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe"},"headline":"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af","datePublished":"2021-02-25T06:47:15+00:00","dateModified":"2021-02-25T06:47:15+00:00","mainEntityOfPage":{"@id":"https:\/\/omathimatikos.gr\/?p=49668"},"wordCount":27,"commentCount":0,"publisher":{"@id":"https:\/\/omathimatikos.gr\/#organization"},"articleSection":["\u0395\u039a\u03a0\u0391\u0399\u0394\u0395\u03a5\u03a4\u0399\u039a\u0391 \u039d\u0395\u0391","\u0395\u039d\u0394\u0399\u0391\u03a6\u0395\u03a1\u039f\u039d\u03a4\u0391"],"inLanguage":"el","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/omathimatikos.gr\/?p=49668#respond"]}]},{"@type":"WebPage","@id":"https:\/\/omathimatikos.gr\/?p=49668","url":"https:\/\/omathimatikos.gr\/?p=49668","name":"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","isPartOf":{"@id":"https:\/\/omathimatikos.gr\/#website"},"datePublished":"2021-02-25T06:47:15+00:00","dateModified":"2021-02-25T06:47:15+00:00","breadcrumb":{"@id":"https:\/\/omathimatikos.gr\/?p=49668#breadcrumb"},"inLanguage":"el","potentialAction":[{"@type":"ReadAction","target":["https:\/\/omathimatikos.gr\/?p=49668"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/omathimatikos.gr\/?p=49668#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/omathimatikos.gr\/"},{"@type":"ListItem","position":2,"name":"\u0391\u03c7\u03af\u03bb\u03bb\u03b5\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af"}]},{"@type":"WebSite","@id":"https:\/\/omathimatikos.gr\/#website","url":"https:\/\/omathimatikos.gr\/","name":"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","description":"\u039a\u03ce\u03c3\u03c4\u03b1\u03c2 \u039c\u03c0\u03bf\u03c5\u03c1\u03b1\u03b6\u03ac\u03bd\u03b1\u03c2","publisher":{"@id":"https:\/\/omathimatikos.gr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/omathimatikos.gr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"el"},{"@type":"Organization","@id":"https:\/\/omathimatikos.gr\/#organization","name":"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","url":"https:\/\/omathimatikos.gr\/","logo":{"@type":"ImageObject","inLanguage":"el","@id":"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/","url":"","contentUrl":"","caption":" \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3"},"image":{"@id":"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/omathimatikos\/"]},{"@type":"Person","@id":"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe","name":"...","sameAs":["http:\/\/omathimatikos.gr"],"url":"https:\/\/omathimatikos.gr\/?author=2"}]}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts\/49668"}],"collection":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=49668"}],"version-history":[{"count":1,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts\/49668\/revisions"}],"predecessor-version":[{"id":49670,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts\/49668\/revisions\/49670"}],"wp:attachment":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=49668"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=49668"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=49668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}