{"id":847,"date":"2021-03-09T00:31:06","date_gmt":"2021-03-08T15:31:06","guid":{"rendered":"https:\/\/k.foolslab.net\/dailyreport\/?p=847"},"modified":"2021-03-09T00:31:06","modified_gmt":"2021-03-08T15:31:06","slug":"2021-3-8%e6%9c%88","status":"publish","type":"post","link":"https:\/\/k.foolslab.net\/dailyreport\/2021-3-8%e6%9c%88\/","title":{"rendered":"2021\/3\/8(\u6708)"},"content":{"rendered":"\n<p>ABC194\u306e\u30d0\u30c1\u30e3\u3092\u3057\u305f\u3002\u96e3\u6613\u5ea6\u7684\u306b\u306f\u4eca\u306e\u81ea\u5206\u306b\u3061\u3087\u3046\u3069\u3044\u3044\u611f\u3058\u3060\u3063\u305f\u3068\u601d\u3046\u3002\u3042\u3068\u5c11\u3057\u3067F\u304c\u89e3\u3051\u306a\u304b\u3063\u305f\u306e\u304c\u6094\u3057\u3044\u3002\u30d0\u30c1\u30e3\u7d42\u4e86\u5f8c5\u5206\u304f\u3089\u3044\u3067AC\u3057\u305f\u3002<\/p>\n\n\n\n<p>B\u30671WA\u3057\u305f\u3002<code>(i % 2) xor (isupper(s[i])<\/code>\u3068\u3044\u3046\u6761\u4ef6\u5f0f\u3092\u66f8\u3044\u305f\u306e\u3060\u304c\u3001\u305d\u308c\u3092<code>(i % 2) != (isupper(s[i]) ? 1 : 0)<\/code>\u306b\u5909\u3048\u305f\u3089\u901a\u3063\u305f\u3002\u30de\u30b8\uff1f<\/p>\n\n\n\n<p>\u3069\u3046\u3084\u3089\u8abf\u3079\u3066\u307f\u308b\u3068isupper\u304c\u8fd4\u3059\u5024\u306f\u898f\u683c\u4e0a\u300c0\u304b1\u300d\u3067\u306f\u306a\u304f\u300c0\u304b0\u4ee5\u5916\u300d\u3089\u3057\u3044\u3002\u624b\u5143\u3060\u3068\u901a\u3063\u305f\u306e\u3060\u304c\u3001\u304a\u305d\u3089\u304f\u305d\u306e\u52d8\u9055\u3044\u3068\u305f\u307e\u305f\u307e\u4e00\u81f4\u3057\u305f\u6319\u52d5\u3092\u3057\u3066\u304f\u308c\u3066\u3057\u307e\u3063\u3066\u3044\u305f\u3002\u898f\u683c\u53b3\u5bc6\u5408\u81f4\u30d7\u30ed\u30b0\u30e9\u30e0\u3078\u306e\u9053\u306f\u967a\u3057\u3044\u3002<\/p>\n\n\n\n<p>D\u306b\u601d\u308f\u306c\u82e6\u6226\u3092\u5f37\u3044\u3089\u308c\u305f\u3002\u639b\u3051\u7b97&amp;\u4e0d\u7b49\u5f0f\u3067\u306e\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u5bfe\u7b56(\u7af6\u30d7\u30ed\u30d5\u30ec\u30f3\u30ba\u306e\u5302\u3044\u304c\u30d7\u30f3\u30d7\u30f3\u3059\u308b\u305c)\u306e\u4ed6\u3001\u300cn\u9032\u6cd5\u3068\u307f\u306a\u3057\u3066\u5f97\u3089\u308c\u308b\u5024\u3067m\u4ee5\u4e0b\u3068\u306a\u308b\u3082\u306e\u306e\u7a2e\u985e\u300d\u3092\u300cn\u9032\u6cd5\u3068\u307f\u306a\u3057\u3066\u5f97\u3089\u308c\u305f\u5024\u304cm\u4ee5\u4e0b\u3068\u306a\u308bn\u306e\u7a2e\u985e\u300d\u3068\u52d8\u9055\u3044\u3057\u3066\u3044\u305f\u306e\u304c\u539f\u56e0\u3067\u30d0\u30b0\u3089\u305b\u305f\u3002<\/p>\n\n\n\n<p>2\u6841\u4ee5\u4e0a\u306e\u6570\u5b57\u3067\u3042\u308c\u3070\u3001\u7570\u306a\u308bn\u3067n\u9032\u6cd5\u3068\u3057\u3066\u89e3\u91c8\u3059\u308c\u3070\u5fc5\u305a\u7570\u306a\u308b\u6570\u5024\u306b\u306a\u308b\u304c\u30011\u6841\u306e\u6570\u5b57\u3060\u3068\u9006\u306b\u4f55\u9032\u6cd5\u3067\u3082\u540c\u3058\u6570\u5024\u306b\u306a\u308b\u3002\u3053\u3053\u3060\u3051\u5834\u5408\u5206\u3051\u3057\u3066\u3061\u3087\u3063\u3068\u3060\u3051\u30a2\u30c9\u30db\u30c3\u30af\u306a\u5b9f\u88c5\u304c\u5fc5\u8981\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>E\u304c\u30a2\u30d5\u30bf\u30fc\u30b3\u30f3\u306b\u5f3e\u304b\u308c\u305f\u3002\u4f55\u304b\u3068\u601d\u3063\u305f\u306e\u3060\u304c\u3001\u81ea\u5206\u306e\u30c0\u30a4\u30af\u30b9\u30c8\u30e9\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u304c\u30d0\u30b0\u3063\u3066\u3044\u308b\u3053\u3068\u306b\u6c17\u4ed8\u3044\u305f\u3002\u3053\u308c\u306f\u601d\u308f\u306c\u53ce\u7a6b\u3060\u3063\u305f\u3002\u5371\u306a\u3044\u5371\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u3069\u3046\u3084\u3089\u300c\u3053\u306e\u9802\u70b9\u306f\u3059\u3067\u306b\u8a2a\u308c\u305f(=\u6700\u77ed\u8ddd\u96e2\u304c\u78ba\u5b9a\u3057\u305f)\u300d\u30d5\u30e9\u30b0\u3092\u4eca\u307e\u3067\u7ba1\u7406\u3057\u3066\u306a\u304b\u3063\u305f\u3002\u305d\u306e\u305b\u3044\u3067\u7121\u9650\u30eb\u30fc\u30d7\u306b\u306a\u3063\u3066\u3044\u305f\u306e\u3060\u3063\u305f\u3002\u8003\u3048\u3066\u307f\u308c\u3070\u30c0\u30a4\u30af\u30b9\u30c8\u30e9\u306f\u4e00\u56de\u78ba\u5b9a\u3057\u305f\u9802\u70b9\u306f\u3082\u3046\u8003\u3048\u306a\u304f\u3066\u3044\u3044\u306e\u304c\u58f2\u308a\u306a\u308f\u3051\u3067\u3001\u305d\u308c\u3092\u3075\u3044\u306b\u3059\u308b\u5b9f\u88c5\u3092\u3057\u3066\u3044\u305f\u308f\u3051\u3060\u3002\u4f55\u3067\u4eca\u307e\u3067\u843d\u3068\u3055\u308c\u306a\u304b\u3063\u305f\u3093\u3060\u3053\u308c\uff1f<\/p>\n\n\n\n<p>\u30c0\u30a4\u30af\u30b9\u30c8\u30e9\u306b\u624b\u3092\u5165\u308c\u308b\u3088\u3046\u306a\u554f\u984c\u304c\u7dd1diff\u3068\u306f\u6016\u3044\u74b0\u5883\u306b\u306a\u3063\u305f\u3082\u3093\u3060\u3068\u601d\u3046\u3002<\/p>\n\n\n\n<p>DP\u30c6\u30fc\u30d6\u30eb\u306e\u5024\u304c\u6709\u52b9\u306a\u5024\u304b\u3069\u3046\u304b\u3092\u5224\u5b9a\u3059\u308b\u305f\u3081\u306e\u30d5\u30e9\u30b0\u3092\u5225\u306eDP\u30c6\u30fc\u30d6\u30eb\u3067\u7ba1\u7406\u3059\u308b\u3001\u3068\u3044\u3046\u3053\u3068\u3092\u899a\u3048\u305f\u3002<\/p>\n\n\n\n<p>F\u3067$dp[m][i][k][r] := i\u756a\u76ee\u307e\u3067\u306e\u7d20\u6750\u304b\u3089k\u7a2e\u985e\u3068\u3063\u3066\\mod m\u3067\u306e\u4f59\u308a\u304c r \u306e\u5834\u5408\u306e\u6700\u5927\u5024$\u3068\u3044\u3046DP\u3092\u8003\u3048\u305f\u306e\u3060\u304c\u3001\u5f53\u7136$i &lt; k$\u306f\u3042\u308a\u3048\u306a\u3044\u3057$k=0, r &gt; 0$\u3068\u3044\u3046\u5834\u5408\u3082\u3042\u308a\u3048\u306a\u3044\u3002\u5f53\u521d\u3053\u3046\u3044\u3046\u30b1\u30fc\u30b9\u3092\u4e00\u3005\u305d\u3046\u3044\u3046\u5f0f\u3067\u5f3e\u3044\u3066\u3044\u305f\u306e\u3060\u304c\u3001\u5024\u306e\u6709\u52b9\u6027\u3092\u7ba1\u7406\u3059\u308b\u5225\u306e\u30c6\u30fc\u30d6\u30eb$dpe[m][i][j][k]$\u3092\u8003\u3048\u305f\u65b9\u304c\u697d\u3067\u78ba\u5b9f\u306a\u3053\u3068\u306b\u6c17\u4ed8\u3044\u305f\u3002\u5024\u306eDP\u30c6\u30fc\u30d6\u30eb\u306e\u9077\u79fb\u3068\u4e00\u7dd2\u306b\u9077\u79fb\u3059\u308c\u3070\u3044\u3044\u3060\u3051\u3067\u7c21\u5358\u306b\u5bfe\u5fdc\u304c\u3068\u308c\u308b\u3002<\/p>\n\n\n\n<p>DP\u3092\u4e45\u3057\u3076\u308a\u306b\u66f8\u304f\u3068\u3084\u3063\u3071\u308a\u3061\u3087\u3063\u3068\u624b\u9593\u53d6\u308b\u3002\u3068\u3044\u3063\u3066\u3082\u7d50\u5c40\u3061\u3087\u3063\u3068\u8003\u3048\u308c\u3070\u66f8\u3051\u308b\u306e\u3067\u305d\u3093\u306a\u3067\u3082\u306a\u3044\u3051\u3069\u3002\u81ea\u8ee2\u8eca\u306b\u4e57\u308b\u307f\u305f\u3044\u3060\u3002<\/p>\n\n\n\n<p>DP\u306e\u5c0f\u624b\u5148\u30c6\u30af\u3068\u30c0\u30a4\u30af\u30b9\u30c8\u30e9\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u4fee\u6b63\u3067\u7d50\u69cb\u5f97\u308b\u3082\u306e\u304c\u3042\u3063\u305f\u30b3\u30f3\u30c6\u30b9\u30c8\u3060\u3063\u305f\u3002\u51fa\u5834\u3057\u3066\u305f\u3089(+E\u306e\u30a2\u30d5\u30bf\u30fc\u30b3\u30f3\u304c\u5143\u304b\u3089\u3042\u3063\u305f\u3089)\u30b3\u30f3\u30c6\u30b9\u30c8\u5f8c\u306b\u767a\u72c2\u3057\u3066\u305f\u3068\u601d\u3046\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u639b\u3051\u7b97\u4e0d\u7b49\u5f0f\u3092\u5272\u308a\u7b97\u306b\u3057\u3066\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u56de\u907f\u3059\u308b\u3084\u3064\u306e\u6b63\u5f53\u6027\u3092\u4e8c\u5ea6\u3068\u8003\u3048\u305f\u304f\u306a\u3044\u3067\u3054\u3056\u308b\u3068\u3044\u3046\u7cbe\u795e\u3067\u3053\u3046\u3044\u3046\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u4f5c\u3063\u305f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>bool ineq(lint a, lint b, int op, lint c) {\n\tif (op == '&lt;=')\n\t\treturn !ineq(a, b, '&gt;', c);\n\tif (op == '&lt;')\n\t\treturn !ineq(a, b, '&gt;=', c);\n\tif (op == '&gt;') {\n\t\tif (a == 0)\n\t\t\treturn 0 &gt; c;\n\t\tif (a &gt;= 0 &amp;&amp; c &lt; 0)\n\t\t\treturn ineq(a, -b, '&lt;', -c);\n\t\tif (a &lt; 0 &amp;&amp; c &lt; 0)\n\t\t\treturn ineq(-a, b, '&lt;', -c);\n\t\tif (a &lt; 0 &amp;&amp; c &gt;= 0) {\n\t\t\ta *= -1;\n\t\t\tb *= -1;\n\t\t}\n\t\treturn b &gt; c \/ a;\n\t}\n\tif (op == '&gt;=') {\n\t\tif (a == 0)\n\t\t\treturn 0 &gt;= c;\n\t\tif (a &gt;= 0 &amp;&amp; c &lt; 0)\n\t\t\treturn ineq(a, -b, '&lt;=', -c);\n\t\tif (a &lt; 0 &amp;&amp; c &lt; 0)\n\t\t\treturn ineq(-a, b, '&lt;=', -c);\n\t\tif (a &lt; 0 &amp;&amp; c &gt;= 0) {\n\t\t\ta *= -1;\n\t\t\tb *= -1;\n\t\t}\n\t\tif (c % a == 0)\n\t\t\treturn b &gt;= c \/ a;\n\t\treturn b &gt; c \/ a;\n\t}\n\tstatic_assert(\"unknown operator\");\n}<\/code><\/pre>\n\n\n\n<p><code>a*b&gt;c<\/code>\u3092\u5224\u5b9a\u3057\u305f\u3044\u3068\u304d\u306b<code>ineq(a, b, '&gt;', c)<\/code>\u3068\u304b\u66f8\u3051\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>ABC186\u306e\u30d0\u30c1\u30e3\u3092\u3057\u305f\u3002A~D\u306f\u8a00\u3046\u3053\u3068\u306a\u3057\u3002<\/p>\n\n\n\n<p>E\u306fCRT(\u4e2d\u56fd\u5270\u4f59\u5b9a\u7406)\u3060\u3063\u305f\u3002\u6700\u8fd1CRT\u6d41\u884c\u3063\u3066\u308b\u306e\uff1fABC193-E\u3067\u5c65\u4fee\u3057\u305f\u306e\u3067\u89e3\u3051\u305f\u3002<\/p>\n\n\n\n<p>CRT\u3060\u3068\u5206\u304b\u308c\u3070\u3082\u3046\u4e00\u77ac\u3067\u89e3\u3051\u3066\u3057\u307e\u3046\u304b\u306b\u601d\u308f\u308c\u305f\u304c\u3001$S\\geq K$\u306e\u5834\u5408\u304c\u3042\u308b\u306e\u3067S%K\u3092\u3068\u3089\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3068\u304b\u3001$0 \\mod lcm(K, N)$\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308b\u306e\u3067\u305d\u306e\u3068\u304d\u306f0\u3067\u306f\u306a\u304flcm(K,N)\u3092\u4f7f\u308f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3068\u304b\u3001\u305d\u306e\u3078\u3093\u306e\u8abf\u6574\u304c\u30d1\u30c3\u3068\u3067\u304d\u305a\u306b\u82e6\u6226\u3057\u305f\u3002CRT\u3092\u3060\u3044\u305f\u3044\u7406\u89e3\u306f\u3057\u305f\u304c\u307e\u3060\u6163\u308c\u3066\u306f\u3044\u306a\u3044\u3089\u3057\u3044\u3002<\/p>\n\n\n\n<p>F\u306f\u307e\u3042\u3001\u3061\u3083\u3093\u3068\u8003\u3048\u3066\u89e3\u3051\u305f\u306e\u3067\u305d\u3053\u306f\u697d\u3057\u304b\u3063\u305f\u3051\u3069\u3001\u4eca\u4e00\u3064\u3069\u306e\u3078\u3093\u306b\u5b66\u3073\u3092\u898b\u51fa\u305b\u3070\u3044\u3044\u306e\u304b\u5206\u304b\u3089\u306a\u3044\u3002\u5b66\u3079\u308b\u3082\u306e\u306f\u3042\u308b\u3068\u601d\u3046\u3093\u3060\u3051\u3069\u3002<\/p>\n\n\n\n<p>\u5305\u9664\u3067\u300c\u53f3\u2192\u4e0b\u306e\u9806\u3067\u884c\u3051\u308b\u30de\u30b9\u300d\u222a\u300c\u4e0b\u2192\u53f3\u306e\u9806\u3067\u884c\u3051\u308b\u30de\u30b9\u300d\u3092\u300c\u53f3\u2192\u4e0b\u306e\u9806\u3067\u884c\u3051\u308b\u30de\u30b9\u300d+\u300c\u4e0b\u2192\u53f3\u306e\u9806\u3067\u884c\u3051\u308b\u30de\u30b9\u300d-\u300c\u4e21\u65b9\u306e\u9806\u3067\u884c\u3051\u308b\u30de\u30b9\u300d\u306b\u5909\u63db\u3059\u308b\u306e\u306f\u3082\u3046\u3061\u3087\u3063\u3068\u7d20\u65e9\u304f\u3068\u3044\u3046\u304b\u30ce\u30fc\u30bf\u30a4\u30e0\u3067\u767a\u60f3\u3067\u304d\u3066\u3088\u304b\u3063\u305f\u304b\u306a\u3068\u601d\u3046\u3002\u3061\u3087\u3063\u3068\u305d\u3053\u306b\u6642\u9593\u304c\u304b\u304b\u3063\u3066\u3057\u307e\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u304b\u3089\u30bb\u30b0\u6728\u3092\u4f7f\u3063\u3066X\u8ef8\u3068Y\u8ef8\u3092\u7dcf\u5408\u3057\u3066\u8003\u3048\u3066\u3044\u304f\u90e8\u5206\u306f\u306a\u3093\u3068\u304b\u81ea\u529b\u3067\u601d\u3044\u3064\u3051\u305f\u306e\u3060\u304c\u3001\u3069\u3046\u3044\u3046\u601d\u8003\u56de\u8def\u3092\u3082\u3063\u3066\u3044\u305f\u3089\u65e9\u3081\u306b\u7b54\u3048\u306b\u8fbf\u308a\u7740\u3051\u305f\u3093\u3060\u308d\u3046\u304b\u3068\u601d\u3046\u3002\u7b54\u3048\u3092\u77e5\u3063\u3066\u8003\u3048\u308c\u3070\u81ea\u660e\u3082\u81ea\u660e\u306a\u3093\u3060\u3051\u3069\u3002<\/p>\n\n\n\n<hr 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B\u30671WA\u3057\u305f\u3002(i % 2) xor (isupper(s[i] &hellip; <\/p>\n<div><a href=\"https:\/\/k.foolslab.net\/dailyreport\/2021-3-8%e6%9c%88\/\" class=\"more\">Read more &raquo;<span class=\"screen-reader-text\"> &#8220;2021\/3\/8(\u6708)&#8221;<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-847","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/847","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=847"}],"version-history":[{"count":7,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/847\/revisions"}],"predecessor-version":[{"id":854,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/847\/revisions\/854"}],"wp:attachment":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/media?parent=847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/categories?post=847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/tags?post=847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}