{"id":1228,"date":"2015-08-13T23:14:36","date_gmt":"2015-08-13T14:14:36","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1228"},"modified":"2021-03-18T08:39:06","modified_gmt":"2021-03-17T23:39:06","slug":"tkr201505","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkr201505\/","title":{"rendered":"\u6771\u5927\u7406\u7cfb2015\uff1a\u7b2c5\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(m\\) \u3092 \\(2015\\) \u4ee5\u4e0b\u306e\u6b63\u306e\u6574\u6570\u3068\u3059\u308b. \\({} _ {2015} \\text{C} {} _ m\\) \u304c\u5076\u6570\u3068\u306a\u308b\u6700\u5c0f\u306e \\(m\\) \u3092\u6c42\u3081\u3088.<\/p>\r\n<hr>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\\[\r\n{} _ {2015} \\text{C} {} _ m = \\dfrac{2015}{1} \\cdot \\dfrac{2014}{2} \\cdot \\cdots \\cdot \\dfrac{2016 -m}{m}\r\n\\]\r\n\\(a _ m = \\dfrac{2016 -m}{m} \\ ( m = 1, 2, \\cdots )\\) \u3068\u304a\u3051\u3070, \\(a _ m\\) \u304c\u306f\u3058\u3081\u3066\u5076\u6570\u306b\u306a\u308b \\(m\\) \u3092\u6c42\u3081\u308c\u3070\u3088\u3044.<br \/>\r\n\u81ea\u7136\u6570 \\(n\\) \u304c, \\(n = 2^a N \\ ( \\ N \\text{\u306f\u5947\u6570})\\) \u3068\u8868\u305b\u308b\u3068\u304d, \\(a\\) \u3092\u7d20\u56e0\u6570 \\(2\\) \u306e\u500b\u6570\u3068\u3088\u3076\u3053\u3068\u306b\u3059\u308b.<br \/>\r\n\\(a _ m\\) \u304c\u5076\u6570\u306b\u306a\u308b\u306e\u306f, \\(2016 -m\\) \u306e\u7d20\u56e0\u6570 \\(2\\) \u306e\u500b\u6570\u304c, \\(m\\) \u306e\u7d20\u56e0\u6570 \\(2\\) \u306e\u500b\u6570\u3088\u308a\u5927\u304d\u304f\u306a\u308b\u3068\u304d\u3067\u3042\u308b.<br \/>\r\n\\(2016 = 2^5 \\cdot 63\\) \u306b\u6ce8\u610f\u3059\u308b\u3068, \\(1 \\leqq m \\leqq 31\\) \u306e\u3068\u304d, \\(m = 2^k N \\ ( 0 \\leqq k \\leqq 4 )\\) \u3068\u8868\u305b\u3066\r\n\\[\r\n2016 -m = 2^k \\underline{\\left( 2^{5-k} \\cdot 63 -N \\right)} _ {[1]}\r\n\\]\r\n[1] \u306f\u5947\u6570\u306a\u306e\u3067, \u3053\u306e\u3068\u304d, \\(2016 -m\\) \u3068 \\(m\\) \u306e\u7d20\u56e0\u6570 \\(2\\) \u306e\u500b\u6570\u306f\u7b49\u3057\u3044.<br \/>\r\n\u4e00\u65b9, \\(m = 2^5 = 32\\) \u306e\u3068\u304d\r\n\\[\r\n2016 -32 = 2^5 ( 63 -1 ) = 2^6 \\cdot 31\r\n\\]\r\n\u306a\u306e\u3067, \\(2016 -m\\) \u306e\u7d20\u56e0\u6570 \\(2\\) \u306e\u500b\u6570\uff08 \\(6\\) \u500b\uff09\u304c, \\(m\\) \u306e\u7d20\u56e0\u6570 \\(2\\) \u306e\u500b\u6570\uff08 \\(5\\) \u500b\uff09\u3088\u308a\u5927\u304d\u304f\u306a\u308b.<br \/>\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b \\(m\\) \u306e\u5024\u306f\r\n\\[\r\n\\underline{32}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(m\\) \u3092 \\(2015\\) \u4ee5\u4e0b\u306e\u6b63\u306e\u6574\u6570\u3068\u3059\u308b. \\({} _ {2015} \\text{C} {} _ m\\) \u304c\u5076\u6570\u3068\u306a\u308b\u6700\u5c0f\u306e \\(m\\) \u3092\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":[125],"tags":[139,137],"class_list":["post-1228","post","type-post","status-publish","format-standard","hentry","category-tokyo_r_2015","tag-tokyo_r","tag-137"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1228","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=1228"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1228\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}