{"id":1211,"date":"2015-07-31T23:36:30","date_gmt":"2015-07-31T14:36:30","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1211"},"modified":"2015-07-31T23:36:30","modified_gmt":"2015-07-31T14:36:30","slug":"htb201401","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/htb201401\/","title":{"rendered":"\u4e00\u6a4b\u59272014\uff1a\u7b2c1\u554f"},"content":{"rendered":"\\(a-b-8\\) \u3068 \\(b-c-8\\) \u304c\u7d20\u6570\u3068\u306a\u308b\u3088\u3046\u306a\u7d20\u6570\u306e\u7d44 \\(( a , b , c )\\) \u3092\u3059\u3079\u3066\u6c42\u3081\u3088. \r\n<hr>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n\r\n\\(p = a-b-8\\) , \\(q = b-c-8\\) \u3068\u304a\u304f.   \r\n\\(p \\gt 0\\) , \\(q \\gt 0\\) \u306a\u306e\u3067, \\(a \\gt b \\gt c\\) .   \r\n<ol>\r\n<li><strong>1*<\/strong>\u3000\\(c = 2\\) \u306e\u3068\u304d  \r\n\\[\r\nq = b -10\r\n\\]\r\n\\(3\\) \u4ee5\u4e0a\u306e\u7d20\u6570\u306f\u3059\u3079\u3066\u5947\u6570\u306a\u306e\u3067, \\(p\\) \u306f\u5076\u6570\u3067\r\n\\[ \\begin{align}\r\np & = 2 \\\\\r\n\\text{\u2234} \\quad a & = b +10\r\n\\end{align} \\]\r\n\u3057\u305f\u304c\u3063\u3066, \\(b-10 , b , b+10\\) \u306f\u3059\u3079\u3066\u7d20\u6570\u3067\u3042\u308b. \r\n\\[\r\nb-10 \\equiv b-1 , \\ b+10 \\equiv b+1 \\quad ( \\text{mod} \\ 3 )\r\n\\]\r\n\u306a\u306e\u3067, \\(3\\) \u3064\u306e\u6570\u306e\u3046\u3061, \\(1\\) \u3064\u306f \\(3\\) \u306e\u500d\u6570\u3067\u3042\u308b\u304b\u3089\r\n\\[ \\begin{align}\r\nb-10 & = 3 \\\\\r\n\\text{\u2234} \\quad b & = 13\r\n\\end{align} \\]\r\n\u3086\u3048\u306b\r\n\\[\r\na = 13 +10 = 23\r\n\\]<\/li>\r\n<li><strong>2*<\/strong>\u3000\\(c \\geqq 3\\) \u306e\u3068\u304d  \r\n\\(3\\) \u4ee5\u4e0a\u306e\u7d20\u6570\u306f\u3059\u3079\u3066\u5947\u6570\u306a\u306e\u3067, \\(p , q\\) \u306f\u5076\u6570\u3067\r\n\\[ \\begin{align}\r\np = q & = 2 \\\\\r\n\\text{\u2234} \\quad a = b +10 & , \\ c = b -10\r\n\\end{align} \\]\r\n<strong>1*<\/strong>\u3068\u540c\u69d8\u306b\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u3066\r\n\\[\r\na = 23 , \\ b = 13 , \\ c = 3\r\n\\]<\/li>\r\n<\/ol>\r\n\u4ee5\u4e0a\u3088\u308a, \u6c42\u3081\u308b\u7d20\u6570\u306e\u7d44\u306f\r\n\\[\r\n( a, b, c ) = \\underline{( 23 , 13 , 2 ) , ( 23 , 13 , 3 )}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(a-b-8\\) \u3068 \\(b-c-8\\) \u304c\u7d20\u6570\u3068\u306a\u308b\u3088\u3046\u306a\u7d20\u6570\u306e\u7d44 \\(( a , b , c )\\) \u3092\u3059\u3079\u3066\u6c42\u3081\u3088.","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[124],"tags":[146,112],"class_list":["post-1211","post","type-post","status-publish","format-standard","hentry","category-hitotsubashi_2014","tag-hitotsubashi","tag-112"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=1211"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1211\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}