{"id":4409,"date":"2023-04-02T22:32:29","date_gmt":"2023-04-02T13:32:29","guid":{"rendered":"https:\/\/k.foolslab.net\/dailyreport\/?p=4409"},"modified":"2023-04-02T22:49:09","modified_gmt":"2023-04-02T13:49:09","slug":"2023-4-2","status":"publish","type":"post","link":"https:\/\/k.foolslab.net\/dailyreport\/2023-4-2\/","title":{"rendered":"2023\/4\/2(\u65e5)"},"content":{"rendered":"\n<p>\u6628\u591c\u306f\u5927\u5b66\u306e\u9001\u5225\u4f1a\u3067\u671d\u307e\u3067\u30ab\u30e9\u30aa\u30b1\u3057\u3066\u3044\u305f\u3002\u982d\u304c\u75db\u3044\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>ABC296\u306e\u30d0\u30c1\u30e3\u3092\u3057\u305f\u3002<\/p>\n\n\n\n<p>A: N-1\u304b\u6240\u3042\u308b\u96a3\u63a5\u90e8\u3092\u78ba\u8a8d\u3059\u308b<\/p>\n\n\n\n<p>B: \u3084\u308b\u3060\u3051<\/p>\n\n\n\n<p>C: \u3084\u308b\u3060\u3051<\/p>\n\n\n\n<p>D: \u6642\u9593\u5185\u306b\u89e3\u3051\u306a\u304b\u3063\u305f\u3002a,b\u306b\u3064\u3044\u3066a\u2266b\u3068\u3044\u3046\u5236\u7d04\u3092\u8003\u3048\u308b\u3068a\u2266\u221aM\u226610^6\u306a\u306e\u3067\u3001\u3053\u308c\u3092\u5168\u63a2\u7d22\u3059\u308c\u3070\u3088\u3044\u3002\u5bfe\u5fdc\u3059\u308bb\u306f\u306b\u3076\u305f\u3093\u3067\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<p>\u9806\u5e8f\u3092\u5165\u308c\u308b\u3053\u3068\u3067\u8a08\u7b97\u91cf\u3092\u6e1b\u3089\u305b\u308b\u3084\u3064\u3001\u4e45\u3057\u3076\u308a\u306b\u898b\u305f\u306e\u3067\u30d1\u30c3\u3068\u51fa\u306a\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<p>E: \u6642\u9593\u5185\u306b\u89e3\u3051\u305a\u3002\u81ea\u660e\u306b\u306a\u3082\u308a\u30b0\u30e9\u30d5\u306b\u306a\u308b\u3002\u30eb\u30fc\u30d7\u90e8\u306b\u542b\u307e\u308c\u308b\u7b87\u6240\u306a\u3089\u3070\u3001\u3069\u3093\u306aSi\u304c\u6765\u3088\u3046\u3068\u9069\u5207\u306bKi\u3092\u6307\u5b9a\u3059\u308c\u3070\u3088\u3044\u3002\u9006\u306b\u30eb\u30fc\u30d7\u90e8\u306b\u542b\u307e\u308c\u306a\u3044\u7b87\u6240\u306a\u3089\u3070\u3001Si\u3092\u5341\u5206\u5927\u304d\u304f\u3068\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u3082\u9ad8\u6a4b\u541b\u306f\u52dd\u3066\u306a\u304f\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u982d\u304c\u56de\u3063\u3066\u3044\u306a\u304f\u3066Si=i\u3068\u3044\u3046\u3088\u3046\u306b\u8aa4\u8aad\u3057\u305f\u3002\u305d\u3046\u306f\u306a\u3089\u3093\u3084\u308d\u3002<\/p>\n\n\n\n<p>F: \u6642\u9593\u5185\u306b\u898b\u308c\u305a\u3002\u30d0\u30c1\u30e3\u5f8c\u306b\u81ea\u529b\u3067\u89e3\u3051\u305f\u3002\u7d50\u69cb\u597d\u304d\u306a\u30bf\u30a4\u30d7\u306e\u554f\u984c\u3002<\/p>\n\n\n\n<p>\u307e\u305aA\u3068B\u304c\u30bd\u30fc\u30c8\u3068\u3057\u3066\u4e00\u81f4\u3057\u306a\u3051\u308c\u3070\u3069\u3046\u3084\u3063\u3066\u3082\u4e00\u81f4\u3055\u305b\u3089\u308c\u306a\u3044\u306e\u3067\u9664\u5916\u3002\u4ee5\u5f8c\u306f\u30bd\u30fc\u30c8\u3057\u3066\u4e00\u81f4\u3059\u308b\u3053\u3068\u3092\u524d\u63d0\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>N&gt;3\u306e\u3068\u304d\u3001Aj=Ak\u3068\u306a\u308b\u3088\u3046\u306aj,k\u3092\u6307\u5b9a\u3059\u308c\u3070\u5fc5\u305a1\u304b\u6240\u305d\u308d\u3063\u3066\u30b5\u30a4\u30ba\u306e1\u5c0f\u3055\u3044\u554f\u984c\u306b\u5e30\u7740\u3067\u304d\u308b\u3002\u305d\u3057\u3066\u6700\u7d42\u7684\u306b\u306fN=3\u306e\u554f\u984c\u3092\u89e3\u3051\u308b\u304b\u306e\u554f\u984c\u306b\u306a\u308b\u3002\u3053\u308c\u304c\u89e3\u3051\u308b\u6761\u4ef6\u3092\u8abf\u3079\u308b\u305f\u3081\u3001\u8a66\u3057\u306b\u624b\u3092\u52d5\u304b\u3057\u3066\u5b9f\u9a13\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<p>A: (1,2,3), b:(2,3,1)<\/p>\n\n\n\n<p>\u4eee\u306b\u3053\u306e\u3088\u3046\u306a\u72b6\u614b\u306b\u306a\u3063\u305f\u5834\u5408\u3001i=2,j=1,k=3\u3068\u3059\u308b\u3053\u3068\u3067\u89e3\u3051\u308b\u3002<\/p>\n\n\n\n<p>A: (1,2,3), B:(1,3,2)<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u72b6\u614b\u306b\u306a\u3063\u305f\u5834\u5408\u3001\u3053\u308c\u306f\u3069\u3093\u306a\u64cd\u4f5c\u3092\u3057\u3066\u3082\u3069\u3046\u306b\u3082\u306a\u3089\u306a\u3044\u3002\u30d1\u30ea\u30c6\u30a3\u95a2\u4fc2\u306e\u554f\u984c\u306e\u306b\u304a\u3044\u304c\u6f02\u3063\u3066\u304f\u308b\u3002<\/p>\n\n\n\n<p>A: (1,1,2), B:(1,2,1)<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u72b6\u614b\u306b\u306a\u3063\u305f\u5834\u5408\u3001i=1,j=3,k=2\u3068\u3059\u308b\u3053\u3068\u3067\u4e00\u81f4\u3055\u305b\u3089\u308c\u308b\u3002\u540c\u3058\u5024\u304c2\u304b\u6240\u3042\u308c\u3070\u7121\u6761\u4ef6\u306b\u89e3\u3051\u308b\u3002N&gt;3\u306e\u554f\u984c\u306b\u3064\u3044\u3066\u3082\u3001\u540c\u3058\u5024\u304c2\u304b\u6240\u3042\u3063\u305f\u5834\u5408\u3001\u9069\u5207\u306b\u64cd\u4f5c\u306e\u624b\u9806\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u3067\u540c\u3058\u5024\u306e2\u304b\u6240\u3092\u6700\u5f8c\u306b\u6b8b\u3059\u3053\u3068\u304c\u3067\u304d\u3001\u7121\u6761\u4ef6\u306b\u4e00\u81f4\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u4ee5\u5f8c\u306f\u5024\u306e\u304b\u3076\u308a\u304c\u306a\u3044\u3053\u3068\u3092\u524d\u63d0\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u5024\u306e\u304b\u3076\u308a\u304c\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u306f\u3064\u307e\u308a\u9806\u5217\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002\u3054\u4e01\u5be7\u306b$1\\leq A_i \\leq N$\u3068\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u5ea7\u5727\u306e\u5fc5\u8981\u3082\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u9806\u5217\u304c2\u3064\u3067\u306f\u89e3\u6790\u3057\u3065\u3089\u3044\u306e\u3067\u3001\u9806\u52171\u3064\u306e\u554f\u984c\u306b\u8a00\u3044\u63db\u3048\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<p>$i,j,k$\u3092\u6307\u5b9a\u3057\u3066\u64cd\u4f5c\u3092\u3057\u305f\u3068\u304d\u3001$(A_i,A_j,A_k)=(s,t,u), (B_i,B_j,B_k)=(p,q,r)$\u2192$(A_i,A_j,A_k)=(t,s,u), (B_i,B_j,B_k)=(r,q,p)$\u3068\u306a\u308b\u3002\u4e26\u3079\u306a\u304a\u3059\u3068$(A_k,A_j,A_i)=(u,s,t), (B_k,B_j,B_i)=(p,q,r)$\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u521d\u671f\u72b6\u614b\u306e\u9806\u5217B\u306e\u7f6e\u63db\u306e\u9006\u7f6e\u63db\u3092$\\sigma$\u3068\u3057\u3001\u65b0\u3057\u3044\u9806\u5217$P$\u3092$P_i=A_{\\sigma(i)}$\u3068\u5b9a\u7fa9\u3059\u308b\u3068\u3001i,j,k\u3092\u6307\u5b9a\u3057\u305f\u3068\u304d\u306e\u64cd\u4f5c\u306f$P_{\\sigma(i)},P_{\\sigma(j)},P_{\\sigma(k)}$\u306e\u5024\u3092$P_{\\sigma(k)},P_{\\sigma(i)},P_{\\sigma(j)}$\u3068\u3059\u308b\u3053\u3068\u306b\u5bfe\u5fdc\u3059\u308b\u3002\u3053\u308c\u306f\u5076\u7f6e\u63db\u3060\u3002<\/p>\n\n\n\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\u3053\u306e\u9806\u5217P\u3092\u7b97\u51fa\u3057\u3066\u8ee2\u5012\u6570\u306e\u5076\u5947\u3092\u8abf\u3079\u3066\u3084\u308c\u3070\u3088\u3044\u3002\u5076\u7f6e\u63db\u306a\u3089\u4e00\u81f4\u53ef\u80fd\u3067\u5947\u7f6e\u63db\u306a\u3089\u4e00\u81f4\u4e0d\u53ef\u80fd\u3002<\/p>\n\n\n\n<p>G: \u6642\u9593\u5185\u306b\u898b\u308c\u305a\u3002\u3057\u3070\u3089\u304f\u8003\u3048\u305f\u3089\u601d\u3063\u305f\u3088\u308a\u7c21\u5358\u3060\u3063\u305f\u3002\u5b9f\u88c5\u306f\u3084\u3084\u9762\u5012\u3060\u304c\u3002<\/p>\n\n\n\n<p>\u591a\u89d2\u5f62\u306f\u51f8\u591a\u89d2\u5f62\u3067\u3042\u308b\u3068\u4fdd\u8a3c\u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3001x=(\u5b9a\u6570)\u306e\u76f4\u7dda\u3092\u51f8\u591a\u89d2\u5f62\u306b\u91cd\u306d\u308b\u3068\u3001\u7aef\u4ee5\u5916\u3067\u306f\u5e38\u306b2\u70b9\u3067\u4ea4\u308f\u308b\u3002x=(\u5b9a\u6570)\u306e\u76f4\u7dda\u306f\u3053\u306e2\u70b9\u306b\u3088\u3063\u30663\u3064\u306e\u9818\u57df\u306b\u5206\u5272\u3055\u308c\u308b\u3002OUT,IN,OUT\u306b\u5bfe\u5fdc\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\u3001\u51f8\u591a\u89d2\u5f62\u306e\u4e0a\u5074\u306e\u7dda\u3068\u4e0b\u5074\u306e\u7dda\u306b\u5bfe\u3057\u3066\u30af\u30a8\u30ea\u3067\u4e0e\u3048\u3089\u308c\u305f\u70b9\u304c\u4e0a\u5074\u306b\u306a\u308b\u304b\u4e0b\u5074\u306b\u306a\u308b\u304b\u5224\u5b9a\u3059\u308c\u3070\u3088\u3044\u3002\u4e0a\u5074\u3068\u4e0b\u5074\u305d\u308c\u305e\u308c\u306b\u304a\u3044\u3066\u3001\u4e8c\u5206\u63a2\u7d22\u3084std::set\u306a\u3069\u3067x=Ai\u306e\u76f4\u7dda\u304c\u591a\u89d2\u5f62\u306e\u3069\u306e\u7dda\u5206\u3068\u4ea4\u5dee\u3059\u308b\u304b\u3092\u8abf\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3053\u308c\u306b\u3088\u3063\u30662\u672c\u306e\u7dda\u5206\u306b\u5bfe\u3057\u3066\u4e0a\u304b\u4e0b\u304b\u5224\u5b9a\u3059\u308c\u3070\u3088\u304f\u306a\u308b\u306e\u3067$O(Q\\log N)$\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u7b4b\u30c8\u30ec\u3092\u3057\u305f\u3002\u4eca\u65e5\u306f\u8155\u7acb\u3066\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6628\u591c\u306f\u5927\u5b66\u306e\u9001\u5225\u4f1a\u3067\u671d\u307e\u3067\u30ab\u30e9\u30aa\u30b1\u3057\u3066\u3044\u305f\u3002\u982d\u304c\u75db\u3044\u3002 ABC296\u306e\u30d0\u30c1\u30e3\u3092\u3057\u305f\u3002 A: N-1\u304b\u6240\u3042\u308b\u96a3\u63a5\u90e8\u3092\u78ba\u8a8d\u3059\u308b B: \u3084\u308b\u3060\u3051 C: \u3084\u308b\u3060\u3051 D: \u6642\u9593\u5185\u306b\u89e3\u3051\u306a\u304b\u3063\u305f\u3002a,b\u306b\u3064\u3044\u3066a\u2266b\u3068\u3044\u3046\u5236\u7d04\u3092\u8003\u3048 &hellip; <\/p>\n<div><a href=\"https:\/\/k.foolslab.net\/dailyreport\/2023-4-2\/\" class=\"more\">Read more &raquo;<span class=\"screen-reader-text\"> &#8220;2023\/4\/2(\u65e5)&#8221;<\/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-4409","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/4409","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=4409"}],"version-history":[{"count":4,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/4409\/revisions"}],"predecessor-version":[{"id":4413,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/4409\/revisions\/4413"}],"wp:attachment":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/media?parent=4409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/categories?post=4409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/tags?post=4409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}