{"id":3651,"date":"2022-11-08T00:53:22","date_gmt":"2022-11-07T15:53:22","guid":{"rendered":"https:\/\/k.foolslab.net\/dailyreport\/?p=3651"},"modified":"2022-11-08T00:54:43","modified_gmt":"2022-11-07T15:54:43","slug":"2022-11-7","status":"publish","type":"post","link":"https:\/\/k.foolslab.net\/dailyreport\/2022-11-7\/","title":{"rendered":"2022\/11\/7(\u6708)"},"content":{"rendered":"\n

\u8ab2\u984c\u304c\u7d42\u308f\u3063\u3066\u306a\u304b\u3063\u305f\u306e\u3067\u65e9\u8d77\u304d\u3057\u305f\u3002\u4eca\u591c\u3082\u3042\u307e\u308a\u7720\u308c\u306a\u3055\u305d\u3046\u3002<\/p>\n\n\n\n

\n\n\n\n

\u8352\u308c\u3066\u305f\u808c\u304c\u3088\u3046\u3084\u304f\u307b\u307c\u307b\u307c\u5b8c\u6cbb\u3057\u305f\u3002\u307e\u3060\u3061\u3087\u3063\u3068\u6cbb\u308a\u305f\u3066\u3067\u304b\u3055\u3064\u3044\u3066\u3044\u308b\u90e8\u5206\u3082\u3042\u308b\u304c\u3001\u8a31\u5bb9\u7bc4\u56f2\u3060\u3002<\/p>\n\n\n\n

\n\n\n\n

\u4eca\u65e5\u89e3\u3044\u305f\u7af6\u30d7\u30ed\u306e\u554f\u984c\u3002<\/p>\n\n\n\n

ARC139-B: \u89e3\u8aacAC\u3002\u982d\u306e\u4e2d\u306b\u5168\u304f\u306a\u304b\u3063\u305f\u767a\u60f3\u3060\u3063\u305f\u3002\u89e3\u8aac\u8aad\u3093\u3060\u3046\u3048\u3067\u7406\u89e3\u3059\u308b\u306e\u306b\u6570\u5341\u5206\u8981\u3057\u305f\u3002<\/p>\n\n\n\n

\u4ee5\u4e0b\u3001\u7c21\u4fbf\u306e\u305f\u3081\u306b1\u5897\u3084\u3059\u64cd\u4f5c\u3092\u64cd\u4f5cS, A\u5897\u3084\u3059\u64cd\u4f5c\u3092\u64cd\u4f5cT, B\u5897\u3084\u3059\u64cd\u4f5c\u3092\u64cd\u4f5cU\u3068\u3059\u308b\u3002\u64cd\u4f5cT\u3068U\u306f\u5bfe\u7b49\u306a\u306e\u3067\u3001\u9069\u5b9c\u5165\u308c\u66ff\u3048\u3066T\u306e\u65b9\u304c\u30b3\u30b9\u30d1\u304c\u826f\u3044\u3082\u3057\u304f\u306f\u540c\u3058\u3082\u306e\u3068\u4eee\u5b9a\u3067\u304d\u308b\u3002(Y\/A\u2266Z\/B)<\/p>\n\n\n\n

\u307e\u305a\u3001S\u304c\u6700\u3082\u30b3\u30b9\u30d1\u304c\u826f\u3044\u306a\u3089\u3070\u5168\u90e8S\u3067\u6e08\u307e\u305b\u308b\u306e\u304c\u4e00\u756a\u826f\u3044\u3002\u307e\u305f\u3001T>S>U\u306e\u9806\u3067\u30b3\u30b9\u30d1\u304c\u826f\u3044\u306a\u3089\u3001\u51fa\u6765\u308b\u9650\u308aT\u3092\u3057\u3066\u3042\u3068\u306fS\u3067\u6e08\u307e\u305b\u308b\u306e\u304c\u4e00\u756a\u826f\u3044\u3002\u3053\u3053\u307e\u3067\u306f\u3055\u3059\u304c\u306b\u81ea\u529b\u3067\u5206\u304b\u3063\u305f\u3002\u554f\u984c\u306f\u3001T\u3082U\u3082S\u3088\u308a\u30b3\u30b9\u30d1\u304c\u826f\u3044\u5834\u5408\u3002<\/p>\n\n\n\n

\u64cd\u4f5cS\u306e\u56de\u6570\u3092s\u3001\u64cd\u4f5cT\u306e\u56de\u6570\u3092t\u3001\u64cd\u4f5cU\u306e\u56de\u6570\u3092u\u3068\u3059\u308b\u3002$N=s+tA+uB$\u3068\u306a\u308b\u3002<\/p>\n\n\n\n

$tA\\leq N$\u306a\u306e\u3067$t\\leq \\lfloor N\/A \\rfloor$\u3067\u3042\u308b\u3002\u307e\u305f\u3001$u\\geq A$\u306a\u3089\u3070A\u56de\u3084\u308b\u5206\u306e\u64cd\u4f5cU\u3092\u64cd\u4f5cT\u3092B\u56de\u3084\u308b\u3088\u3046\u306b\u3057\u305f\u65b9\u304c\u30b3\u30b9\u30d1\u304c\u826f\u3044(\u3082\u3057\u304f\u306f\u540c\u3058)\u306f\u305a\u306a\u306e\u3067\u3001$u\\leq A-1$\u3068\u3067\u304d\u308b\u3002\u3053\u308c\u306f\u81ea\u529b\u3067\u306f\u6c17\u3065\u3051\u306a\u304b\u3063\u305f\u304c\u3001\u8a00\u308f\u308c\u308c\u3070\u307e\u3042\u5206\u304b\u308b\u3002\u3053\u306e\u554f\u984c\u306e\u809d\u306f\u3053\u3053\u304b\u3089\u3002<\/p>\n\n\n\n

t\u3068u\u305d\u308c\u305e\u308c\u3092\u4e0a\u304b\u3089\u62bc\u3055\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u304c\u3001\u3069\u3061\u3089\u306b\u6ce8\u76ee\u3059\u308b\u306b\u305b\u3088\u6700\u5927\u3067$10^9$\u30aa\u30fc\u30c0\u30fc\u306b\u306a\u3063\u3066\u3057\u307e\u3046\u3002\u3057\u304b\u3057\u3001$\\min(t, u)$\u3092\u898b\u308b\u3068\u306a\u3093\u3068$O(\\sqrt{N})$\u3067\u62bc\u3055\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3060\u3002<\/p>\n\n\n\n

$\\min(t,u)\\leq \\min(\\lfloor N\/A \\rfloor, A-1) \\leq \\sqrt{N}$\u3068\u306a\u308b\u3002$N\/A$\u3068$A$\u306e\u3069\u3061\u3089\u304b\u306f$\\sqrt{N}$\u4ee5\u4e0b\u3067\u3057\u304b\u306a\u3044\u3002\u305d\u3053\u3067\u3001t\u3068u\u3069\u3061\u3089\u304b\u90fd\u5408\u306e\u3044\u3044\u65b9\u3092\u898b\u308b\u3053\u3068\u306b\u3059\u308c\u3070$O(\\sqrt{N})$\u3067\u89e3\u3051\u308b\u306e\u3060\u3002\u982d\u826f\u3059\u304e\u308b\u3002$\\lfloor N\/A \\rfloor \\leq A-1$\u306a\u3089\u3070t\u3092$\\lfloor N\/A \\rfloor$\u307e\u3067\u898b\u308c\u3070\u826f\u3044\u3057\u3001$\\lfloor N\/A \\rfloor \\geq A-1$\u306a\u3089\u3070u\u3092$A-1$\u307e\u3067\u898b\u308c\u3070\u826f\u3044\u3002\u3069\u3061\u3089\u304b\u90fd\u5408\u306e\u826f\u3044\u65b9\u304c\u62bc\u3055\u3048\u3089\u308c\u3066\u3044\u308c\u3070\u3088\u3044\u3068\u3044\u3046\u767a\u60f3\u306f\u306a\u304b\u3063\u305f\u3002\u6b63\u76f4\u3053\u306e\u77e5\u8b58\u3092\u4f7f\u3044\u3053\u306a\u305b\u308b\u304b\u4e0d\u5b89\u3060\u304c\u3001\u304b\u306a\u308a\u52c9\u5f37\u306b\u306a\u3063\u305f\u3002<\/p>\n\n\n\n

\u3061\u306a\u307f\u306b\u3001\u3069\u3061\u3089\u306e\u5834\u5408\u306b\u305b\u3088$p=0$\u3068$q=0$\u3092\u660e\u793a\u7684\u306b\u63a2\u7d22\u3057\u3066\u304a\u304b\u306a\u3044\u3068WA\u306b\u306a\u308b\u3002\u306a\u3093\u3067\u3060\u304b\u826f\u304f\u5206\u304b\u3089\u306a\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u8ab2\u984c\u304c\u7d42\u308f\u3063\u3066\u306a\u304b\u3063\u305f\u306e\u3067\u65e9\u8d77\u304d\u3057\u305f\u3002\u4eca\u591c\u3082\u3042\u307e\u308a\u7720\u308c\u306a\u3055\u305d\u3046\u3002 \u8352\u308c\u3066\u305f\u808c\u304c\u3088\u3046\u3084\u304f\u307b\u307c\u307b\u307c\u5b8c\u6cbb\u3057\u305f\u3002\u307e\u3060\u3061\u3087\u3063\u3068\u6cbb\u308a\u305f\u3066\u3067\u304b\u3055\u3064\u3044\u3066\u3044\u308b\u90e8\u5206\u3082\u3042\u308b\u304c\u3001\u8a31\u5bb9\u7bc4\u56f2\u3060\u3002 \u4eca\u65e5\u89e3\u3044\u305f\u7af6\u30d7\u30ed\u306e\u554f\u984c\u3002 ARC139-B: \u89e3\u8aacA … <\/p>\n

Read more » “2022\/11\/7(\u6708)”<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3651","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/3651","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/comments?post=3651"}],"version-history":[{"count":4,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/3651\/revisions"}],"predecessor-version":[{"id":3656,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/3651\/revisions\/3656"}],"wp:attachment":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/media?parent=3651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/categories?post=3651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/tags?post=3651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}