{"id":4326,"date":"2023-03-17T22:48:19","date_gmt":"2023-03-17T13:48:19","guid":{"rendered":"https:\/\/k.foolslab.net\/dailyreport\/?p=4326"},"modified":"2023-03-17T22:48:19","modified_gmt":"2023-03-17T13:48:19","slug":"2023-3-17","status":"publish","type":"post","link":"https:\/\/k.foolslab.net\/dailyreport\/2023-3-17\/","title":{"rendered":"2023\/3\/17(\u91d1)"},"content":{"rendered":"\n<p>\u4e45\u3005\u306b\u30b9\u30c8\u30ec\u30c3\u30c1\u3092\u3057\u305f\u3002\u4f53\u304c\u786c\u304f\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u7d50\u5c40ABC288(\u30c8\u30e8\u30bf\u30b3\u30f3\u306e\u4e88\u9078A)\u3092\u8d70\u3063\u3066\u3044\u306a\u304b\u3063\u305f\u306e\u3067\u3001\u3055\u3059\u304c\u306b\u826f\u304f\u306a\u3044\u304b\u306a\u3068\u601d\u3063\u3066\u672c\u9078\u524d\u306b\u3084\u3063\u305f\u3002\u5272\u3068\u6563\u3005\u306a\u7d50\u679c\u3060\u3063\u305f\u3002<\/p>\n\n\n\n<p>A: \u3084\u308b\u3060\u3051<\/p>\n\n\n\n<p>B: \u3084\u308b\u3060\u3051<\/p>\n\n\n\n<p>C: \u9589\u8def\u306e\u306a\u3044\u6700\u3082\u8fba\u6570\u306e\u591a\u3044\u30b0\u30e9\u30d5\u306f\u6728(\u68ee)\u306a\u306e\u3067\u3001\u5404\u9023\u7d50\u6210\u5206\u306b\u3064\u3044\u3066\u6728\u306b\u3059\u308c\u3070\u3088\u3044\u3002\u9023\u7d50\u6210\u5206\u3092UnionFind\u3067\u7ba1\u7406\u3057\u3064\u3064\u3001\u5404\u9023\u7d50\u6210\u5206\u306b\u3064\u3044\u3066\u8fba\u306e\u6570\u3092\u6570\u3048\u3066(\u30b5\u30a4\u30ba-1)\u3068\u306e\u5dee\u3092\u3068\u308b\u3002<\/p>\n\n\n\n<p>D: \u3053\u3093\u306a\u306e700\u4eba\u3082\u89e3\u304f\u306e\uff1f\u89e3\u8aacAC\u3057\u305f\u3002<\/p>\n\n\n\n<p>A[i]\uff5eA[i+k-1]\u306bc\u3092\u8db3\u3059\u3068\u3044\u3046\u64cd\u4f5c\u306f\u3001\u968e\u5dee\u6570\u5217A&#8217;\u3092\u3068\u308b\u3068A'[i]\u306bc\u3092\u8db3\u3057A'[i+k]\u304b\u3089c\u3092\u5f15\u304f\u3068\u3044\u3046\u64cd\u4f5c\u306b\u7f6e\u304d\u63db\u3048\u3089\u308c\u308b\u3002A\u306e\u3053\u3068\u306f\u5fd8\u308c\u3066A&#8217;\u3067\u306e\u8b70\u8ad6\u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3088\u3044\u3002A[L]\u304b\u3089A[R-1]\u307e\u3067\u5168\u30660\u3068\u3044\u3046\u306e\u306f\u3001A[L]\u304b\u3089A[R-1]\u307e\u3067\u5168\u30660\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002\u64cd\u4f5c\u3092\u9069\u7528\u3059\u308b\u7bc4\u56f2\u3092\u9069\u5207\u306b\u8003\u3048\u308c\u3070\u3001A[L-1]\u3084A[R]\u306e\u3053\u3068\u306f\u8003\u3048\u306a\u304f\u3066\u3088\u3044\u3002<\/p>\n\n\n\n<p>\u7aef\u304b\u3089\u9806\u306b0\u306b\u3057\u3066\u3044\u304f\u3053\u3068\u3092\u8003\u3048\u308b\u3068\u3001<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>auto c = -A&#91;i];\nA&#91;i]+=c;\nA&#91;i+k]-=c;<\/code><\/pre>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u64cd\u4f5c\u3092$L\\leq i &lt; R &#8211; K + 1$\u306b\u3064\u3044\u3066\u3084\u3063\u3066\u3044\u304f\u3053\u3068\u306b\u306a\u308b\u3002\u6700\u5f8c\u306b\u6b8b\u3063\u305f\u53cd\u5bfe\u5074\u306e\u7aef($[R-K+1, R)$)\u3060\u3051\u898b\u308c\u3070\u3044\u3044\u3053\u3068\u3092\u8003\u3048\u308b\u3068A[i]\u3078\u306e\u64cd\u4f5c\u306f\u8981\u3089\u306a\u3044\u3002\u3053\u308c\u3092\u8003\u3048\u3066\u5f0f\u5909\u5f62\u3092\u3059\u308b\u3068\u3053\u3046\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A&#91;i+k]+=A&#91;i];<\/code><\/pre>\n\n\n\n<p>\u3053\u308c\u306f\u7d2f\u7a4d\u548c\u306e\u5f62\u3060\u3002mod K\u3067\u7b49\u3057\u3044\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3057\u3066\u7d2f\u7a4d\u548c\u3092\u3068\u308b\u3002<\/p>\n\n\n\n<p>$[R-K+1, R)$\u304c0\u306b\u306a\u3063\u3066\u3044\u308b\u304b\u78ba\u8a8d\u3059\u308b\u306e\u306b\u76f8\u5f53\u3059\u308b\u51e6\u7406\u3092\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u306e\u3060\u304c\u305d\u308c\u306e\u6dfb\u3048\u5b57\u3092\u6c42\u3081\u308b\u306e\u304c\u3084\u3084\u9762\u5012\u3002<\/p>\n\n\n\n<p>S[i]=A[r]+A[K+r]+A[2*K+r]+&#8230;+A[i]\u304c\u6c42\u307e\u3063\u3066\u3044\u308b\u3068\u3057\u3066\u3001L\u3088\u308a\u5de6\u306e\u8981\u7d20\u306e\u5f71\u97ff\u3092\u53d6\u308a\u9664\u304f\u5fc5\u8981\u304c\u3042\u308b\u3002mod K\u3067i\u3068\u7b49\u3057\u304fL\u672a\u6e80\u3067\u6700\u5927\u306e\u6574\u6570\u3092j\u3068\u3059\u308c\u3070S[i]-S[j]\u3068\u3057\u3066\u6c42\u3081\u3089\u308c\u308b\u3002\u307e\u305f\u3001mod K\u3067L\u3068\u7b49\u3057\u3044\u5834\u5408\u306f\u521d\u671f\u5024\u304cA[L]\u306b\u306a\u308b\u3068\u3044\u3046\u554f\u984c\u304c\u3042\u308b\u3002\u3053\u308c\u3082\u51e6\u7f6e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u3053\u308c\u306b\u6c17\u3065\u304f\u306e\u306b\u304b\u306a\u308a\u6642\u9593\u304c\u304b\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u968e\u5dee\u6570\u5217\u3092\u4f5c\u3063\u3066mod K\u3067\u8981\u7d20\u3092\u5206\u3051\u308b\u57fa\u672c\u306e\u767a\u60f3\u306f\u51fa\u3066\u3044\u305f\u306e\u3060\u304c\u3001\u306a\u3093\u304b\u968e\u5dee\u6570\u5217\u3067\u306f\u306a\u3044\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u4f55\u304b\u3092\u4f5c\u3063\u305f\u6319\u53e5\u6570\u5f0f\u3067\u306e\u89e3\u6790\u3067\u6df7\u4e71\u3057\u3066\u3057\u307e\u3063\u305f\u3002\u3044\u3082\u3059\u6cd5\u304c\u982d\u306b\u6d6e\u304b\u3093\u3067\u3057\u307e\u3063\u305f\u306e\u3060\u304c\u3042\u308c\u306f\u5b9f\u88c5\u30c6\u30af\u5bc4\u308a\u306e\u6280\u8853\u3067\u3042\u308a\u3001\u5b9f\u88c5\u3068\u89e3\u6790\u3092\u3054\u3063\u3061\u3083\u306b\u3057\u3066\u306f\u3044\u3051\u306a\u3044\u3002\u89e3\u6790\u306e\u524d\u306b\u5b9f\u88c5\u30c6\u30af\u304c\u51fa\u3066\u304f\u308b\u3079\u304d\u3067\u306f\u306a\u3044\u3002\u307e\u305a\u89e3\u6790\u306b\u96c6\u4e2d\u3057\u3001\u305d\u3057\u3066\u4e00\u756a\u4f7f\u3044\u3084\u3059\u3044\u6570\u5b66\u7684\u9053\u5177\u3092\u5909\u306a\u30a2\u30ec\u30f3\u30b8\u305b\u305a\u4f7f\u3046\u3079\u304d\u3060\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u3042\u3068\u3001\u4e0d\u5909\u91cf\u3092\u7528\u3044\u305f\u89e3\u6790\u306f\u982d\u306b\u4e0a\u3063\u3066\u306f\u3044\u305f\u306e\u3060\u304c\u3046\u307e\u3044\u65b9\u91dd\u304c\u601d\u3044\u6d6e\u304b\u3070\u305a\u4f7f\u3048\u306a\u304b\u3063\u305f\u3002Twitter\u306enok0\u6c0f\u306e\u66f8\u304d\u8fbc\u307f\u306b\u3088\u308c\u3070\u3001\u7e4b\u304c\u3063\u3066\u3044\u308b\u90e8\u5206\u306b\u95a2\u3059\u308b\u4e0d\u5909\u91cf\u89e3\u6790\u304c\u591a\u3044\u306e\u3067\u300c\u3064\u306a\u304c\u3063\u3066\u3044\u306a\u3044\u300d\u3053\u3068\u3092\u30c6\u30fc\u30de\u306b\u3057\u3066\u3044\u305f\u3089\u3057\u3044\u3002\u307e\u3055\u306b\u3057\u3066\u3084\u3089\u308c\u305f\u3068\u3044\u3046\u6c17\u5206\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>\u4e45\u3005\u306b\u30b9\u30c8\u30ec\u30c3\u30c1\u3092\u3057\u305f\u3002\u4f53\u304c\u786c\u304f\u306a\u3063\u3066\u3044\u308b\u3002 \u7d50\u5c40ABC288(\u30c8\u30e8\u30bf\u30b3\u30f3\u306e\u4e88\u9078A)\u3092\u8d70\u3063\u3066\u3044\u306a\u304b\u3063\u305f\u306e\u3067\u3001\u3055\u3059\u304c\u306b\u826f\u304f\u306a\u3044\u304b\u306a\u3068\u601d\u3063\u3066\u672c\u9078\u524d\u306b\u3084\u3063\u305f\u3002\u5272\u3068\u6563\u3005\u306a\u7d50\u679c\u3060\u3063\u305f\u3002 A: \u3084\u308b\u3060\u3051 B: \u3084\u308b\u3060\u3051 C: \u9589\u8def\u306e &hellip; <\/p>\n<div><a href=\"https:\/\/k.foolslab.net\/dailyreport\/2023-3-17\/\" class=\"more\">Read more &raquo;<span class=\"screen-reader-text\"> &#8220;2023\/3\/17(\u91d1)&#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-4326","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/4326","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=4326"}],"version-history":[{"count":1,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/4326\/revisions"}],"predecessor-version":[{"id":4327,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/4326\/revisions\/4327"}],"wp:attachment":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/media?parent=4326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/categories?post=4326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/tags?post=4326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}