{"id":2693,"date":"2022-05-02T23:02:27","date_gmt":"2022-05-02T14:02:27","guid":{"rendered":"https:\/\/k.foolslab.net\/dailyreport\/?p=2693"},"modified":"2022-05-02T23:02:27","modified_gmt":"2022-05-02T14:02:27","slug":"2022-5-2%e6%9c%88","status":"publish","type":"post","link":"https:\/\/k.foolslab.net\/dailyreport\/2022-5-2%e6%9c%88\/","title":{"rendered":"2022\/5\/2(\u6708)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u30ef\u30af\u30c1\u30f3\u306e\u526f\u53cd\u5fdc\u304b\u3089\u5fa9\u6d3b\u3057\u305f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7d50\u5c40\u63a5\u7a2e\u65e5\u306e\u7fcc\u65e5\u663c\uff5e\u7fcc\u3005\u65e5\u5348\u524d\u307e\u3067\u7d9a\u3044\u305f\u611f\u3058\u306b\u306a\u308b\u3002\u4f53\u6e29\u306f\u4e0b\u304c\u3063\u305f\u304c\u982d\u75db\u306f\u5fae\u5999\u306b\u6b8b\u3063\u3066\u3044\u308b\u611f\u3058\u304c\u3059\u308b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u6628\u65e5\uff5e\u4eca\u65e5\u89e3\u3044\u305f\u7af6\u30d7\u30ed\u306e\u554f\u984c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7af6\u30d7\u30ed\u5178\u578b90\u554f-025 Digit Product Equation: \u89e3\u8aacAC\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">m\u3067\u306a\u304ff(m)\u306e\u65b9\u3092\u56fa\u5b9a\u3057\u3066\u8003\u3048\u308b\u3068\u3044\u3046\u767a\u60f3\u306f\u3042\u3063\u305f\u304c\u3001\u306a\u305c\u304b\u300c\u7d50\u5c40$10^10$\u901a\u308a\u3058\u3083\u3093\u300d\u3068\u601d\u3044\u8fbc\u3093\u3067\u3057\u307e\u3063\u305f\u3002\u9806\u5e8f\u304c\u95a2\u4fc2\u306a\u304f\u306a\u308b\u306e\u3067\u5b9f\u969b\u306b\u306f$_{10}H_{10}=_{20}C_{10}&lt;2^{20}$\u306b\u306a\u308b\u3002\u7d44\u307f\u5408\u308f\u305b\u306e\u6570\u3092\u904e\u5927\u306b\u898b\u7a4d\u3082\u3063\u3066\u53ef\u80fd\u6027\u3092\u898b\u9003\u3059\u306e\u305d\u308d\u305d\u308d\u3084\u3081\u305f\u3044\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$m-f(m)=B$\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u306e\u3067\u3001\u540c\u3058f(m)\u306a\u3089\u3070\u6761\u4ef6\u306b\u5f53\u3066\u306f\u307e\u308a\u3046\u308bm\u306e\u5024\u306f\u4e00\u610f\u306b\u5b9a\u307e\u308b\u3002f(m)\u306e\u5024\u304c\u540c\u3058\u306b\u306a\u308b\u3088\u3046\u306a\u7570\u306a\u308bm\u306e\u5024\u306b\u3064\u3044\u3066\u8003\u3048\u308b\u5fc5\u8981\u306f\u306a\u3044\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$f(B+f(m))=f(m)$\u3068\u306a\u308b\u3088\u3046\u306af(m)\u3092\u30ab\u30a6\u30f3\u30c8\u3059\u308c\u3070OK\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">EDPC-M: dp[i][j]:=(\u4f55\u4eba\u76ee\u307e\u3067\u898b\u305f\u304b\u3001\u3044\u304f\u3064\u65e2\u306b\u914d\u3063\u305f\u304b)\u3068\u3057\u3066\u9077\u79fb\u3059\u308c\u3070\u826f\u3044\u3002\u30ca\u30a4\u30fc\u30d6\u306b\u3084\u308b\u3068$O(NK^2)$\u3060\u304c\u3001\u9069\u5f53\u306b\u7d2f\u7a4d\u548c\u3092\u3084\u308c\u3070$O(NK)$\u3067\u89e3\u3051\u308b\u3002K\u306f\u305d\u3053\u305d\u3053\u5927\u304d\u3044\u304cN\u304c\u5c0f\u3055\u3044\u306e\u3067\u52a9\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">EDPC-N: \u533a\u9593\u3054\u3068\u306b\u300c\u533a\u9593\u5185\u306e\u30b9\u30e9\u30a4\u30e0\u3092\u5168\u3066\u4e00\u3064\u306b\u307e\u3068\u3081\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u30b3\u30b9\u30c8\u300d\u3068\u3057\u3066\u533a\u9593DP\u3059\u308c\u3070\u3088\u3044\u3002$O(N^3)$\u3067\u306a\u3093\u3068\u304b\u9593\u306b\u5408\u3046\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">EDPC-O: \u6700\u521ddp[i][ptn]:=(i\u756a\u76ee\u307e\u3067\u306e\u7537\u6027\u3092\u898b\u3066\u3001\u30d3\u30c3\u30c8\u30de\u30b9\u30afptn\u306b\u5bfe\u5fdc\u3059\u308b\u5973\u6027\u3068\u30de\u30c3\u30c1\u30f3\u30b0\u3057\u305f\u3068\u304d\u306e\u30d1\u30bf\u30fc\u30f3\u6570)\u3068\u3057\u3066$O(N^2 2^N)$\u3067\u89e3\u3044\u305f\u304c\u3001\u3053\u308c\u3067\u306fTLE\u3002\u30de\u30c3\u30c1\u30f3\u30b0\u3057\u305f\u7537\u6027\u306e\u6570\u3068\u5973\u6027\u306e\u6570\u306f\u5bfe\u5fdc\u3059\u308b\u306e\u3067\u3001\u5358\u306bdp[ptn]:=(\u30d3\u30c3\u30c8\u30de\u30b9\u30afptn\u306b\u5bfe\u5fdc\u3059\u308b\u5973\u6027\u3068\u30de\u30c3\u30c1\u30f3\u30b0\u3057\u305f\u6642\u306e\u30d1\u30bf\u30fc\u30f3\u6570)\u3068\u3057\u3066\u666e\u901a\u306bbitDP\u3067\u9077\u79fb\u3059\u308c\u3070$O(N 2^N)$\u3067\u89e3\u3051\u305f\u3002popcount\u3092\u6dfb\u3048\u5b57\u306b\u3057\u3066\u914d\u5217\u306b\u30a2\u30af\u30bb\u30b9\u3059\u308b\u3042\u305f\u308a\u7d50\u69cb\u7279\u6b8a\u306a\u9077\u79fb\u306b\u898b\u3048\u305f\u306e\u3060\u304c\u3001\u5178\u578b\u306a\u306e\u3060\u308d\u3046\u304b\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">EDPC-P: \u5358\u7d14\u306b\u6728\u3092\u30e1\u30e2\u5316\u518d\u5e30\u3059\u308c\u3070\u826f\u3044\u3002\u300c\u96a3\u308a\u5408\u3046\u70b9\u3092\u9ed2\u3067\u5857\u3063\u3066\u306f\u3044\u3051\u306a\u3044\u300d\u3068\u3044\u3046\u7e1b\u308a\u306f\u4e00\u822c\u306e\u30b0\u30e9\u30d5\u3060\u3068\u53b3\u3057\u3044\u3068\u601d\u3046\u304c\u3001\u6728\u306a\u306e\u3067\u6700\u5f8c\u306b\u5857\u3063\u305f\u9802\u70b9\u306e\u8272\u3060\u3051\u898b\u3066\u3044\u3051\u3070\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">EDPC-Q: dp[i][j]:=(i\u756a\u76ee\u306e\u82b1\u307e\u3067\u898b\u3066\u3001\u6700\u5f8c\u306e\u9ad8\u3055\u304ch[j]\u3067\u3042\u308b\u3068\u304d\u306e\u6700\u5927\u30b9\u30b3\u30a2)\u3068\u3057\u3066\u9077\u79fb\u3057\u3066\u3044\u3051\u3070$O(N^2)$\u3067\u89e3\u3051\u308b\u304c\u3001\u3082\u3061\u308d\u3093MLE+TLE\u3059\u308b\u3002\u914d\u5217\u3092\u4f7f\u3044\u307e\u308f\u305b\u3070\u7a7a\u9593$O(N)$\u306b\u306f\u306a\u308b\u304c\u6642\u9593\u306f$O(N^2)$\u306e\u307e\u307e\u3067TLE\u3059\u308b\u3002\u306e\u3067\u30bb\u30b0\u6728\u3067$O(N\\log N)$\u306b\u9ad8\u901f\u5316\u3057\u3066\u901a\u3057\u305f\u3002DP\u30b3\u30f3\u30c6\u30b9\u30c8\u306a\u306e\u306bDP\u3058\u3083\u306a\u3044\u306e\u4f55\uff1f\u3068\u601d\u3063\u3066\u7d2f\u7a4dchmax\u306a\u3069\u304c\u4f7f\u3048\u306a\u3044\u304b\u8003\u3048\u305f\u304c\u3001\u601d\u3044\u3064\u304b\u305a\u3002\u5e83\u7fa9\u306eDP\u3068\u3044\u3046\u6271\u3044\u3067\u826f\u3044\u306e\u304b\u306a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">EDPC-R: K\u306e\u5024\u304c\u3042\u307e\u308a\u306b\u3082\u30af\u30bd\u30c7\u30ab\u3044\u306e\u3067\u3053\u308c\u306f\u30c0\u30d6\u30ea\u30f3\u30b0\u3060\u306a\u3068\u601d\u3063\u305f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u307e\u305adp[b][i][j]:=(\u9802\u70b9i\u304b\u3089\u9802\u70b9j\u30782^b\u56de\u3067\u79fb\u52d5\u3059\u308b\u30d1\u30b9\u306e\u6570)\u3068\u3057\u3066\u3053\u308c\u3092\u6c42\u3081\u308b\u3002i\u304b\u3089k\u3092\u7d4c\u7531\u3057\u3066j\u3078\u79fb\u52d5\u3001\u3068\u3044\u3046\u306e\u3092\u5168\u30d1\u30bf\u30fc\u30f3\u3084\u308b\u306e\u3067$O(N^3 \\log K)$\u3002\u6b21\u306bans[b][i]:=(K % $2^b$\u56de\u79fb\u52d5\u3057\u3066\u9802\u70b9i\u306b\u8fbf\u308a\u7740\u304f\u30d1\u30b9\u306e\u6570)\u3068\u3057\u3066\u6c42\u3081\u308c\u3070\u826f\u3044\u3002$O(N^2 \\log K)$\u3002\u51fa\u767a\u70b9\u3082\u5230\u7740\u70b9\u3082\u3069\u3053\u3067\u3082\u3044\u3044\u3068\u3044\u3046\u554f\u984c\u306a\u306e\u3067\u3001\u5168\u3066\u306ei\u306b\u3064\u3044\u3066ans[0][i]=1\u3068\u3057\u3001\u6700\u5f8c\u306b\u5168\u3066\u306ei\u306b\u3064\u3044\u3066ans[max b][i]\u3092\u8db3\u3059\u3002\u7d50\u69cb\u30b7\u30f3\u30d7\u30eb\u306b\u9762\u767d\u3044\u554f\u984c\u3067\u5927\u5909\u6c17\u6301\u3061\u3088\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7af6\u30d7\u30ed\u30d5\u30ec\u30f3\u30ba\u306e\u89e3\u8aac\u3060\u3068\u884c\u5217\u7d2f\u4e57\u3068\u7e70\u308a\u8fd4\u3057\u4e8c\u4e57\u6cd5\u3092\u7528\u3044\u3066\u3044\u305f\u3002K\u56de\u5206\u306e\u9077\u79fb\u306e\u8a08\u7b97\u306e\u305f\u3081\u306b\u30c0\u30d6\u30ea\u30f3\u30b0\u3092\u4f7f\u3046\u304b\u7e70\u308a\u8fd4\u3057\u4e8c\u4e57\u6cd5\u3092\u4f7f\u3046\u304b\u3068\u3044\u3046\u9055\u3044\u4ee5\u5916\u306f\u672c\u8cea\u7684\u306b\u540c\u3058\u89e3\u6cd5\u3060\u3068\u306f\u601d\u3046\u304c\u3001\u305d\u3046\u304b\u884c\u5217\u7d2f\u4e57\u306b\u3082\u898b\u3048\u308b\u3093\u3060\u306a\u2026\u3068\u3044\u3046\u306e\u304c\u9762\u767d\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u306e\u306f\u30ab\u30ec\u30f3\u30c0\u30fc\u3092\u3081\u304f\u3063\u305f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u3044\u306e\u307c\u308a\u3081\u3063\u3061\u3083\u6cf3\u3044\u3069\u308b\u2026<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e57\u3063\u3066\u308b\u3053\u306e\u306f\u3061\u3083\u3093\u306f\u3069\u3053\u3092\u76ee\u6307\u3057\u3066\u3044\u308b\u306e\u304b\u306a\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u300c\u300c\u3064\u3044\u3084\u3063\u3066\u3057\u307e\u3046\u300d\u4f53\u9a13\u306e\u4f5c\u308a\u304b\u305f\u300d\u3068\u3044\u3046\u672c\u3092\u8cb7\u3063\u305f\u3002\u3088\u304f\u51fa\u6765\u3066\u3066\u306a\u304b\u306a\u304b\u9762\u767d\u3044\u3002\u5c11\u3057\u5197\u9577\u306a\u304d\u3089\u3044\u306f\u3042\u308b\u304c\u3001\u30b7\u30f3\u30d7\u30eb\u306b\u8aad\u307f\u3084\u3059\u304f\u66f8\u304b\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5fc3\u306a\u3057\u304b\u672c\u306e\u4e2d\u8eab\u81ea\u4f53\u3082\u300c\u3064\u3044\u300d\u3081\u304f\u3063\u3066\u3057\u307e\u3046\u3088\u3046\u306a\u69cb\u6210\u306b\u306a\u3063\u3066\u3044\u308b\u3088\u3046\u306a\u6c17\u304c\u3057\u305f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u3044\u3044\u52a0\u6e1bBootstrap\u4ee5\u5916\u306eUI\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u3092\u4f55\u304b\u4e00\u3064\u899a\u3048\u305f\u3044\u3068\u601d\u3044\u3001Vuetify\u3092\u5b66\u7fd2\u3057\u3060\u3057\u305f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u898b\u305f\u76ee\u304c\u597d\u307f\u3060\u3063\u305f\u306e\u3067\u9078\u3093\u3060\u304c\u3001v-\u306a\u3093\u3061\u3083\u3089\u307f\u305f\u3044\u306a\u8981\u7d20\u540d\u3067\u3084\u3063\u3066\u3044\u304f\u306e\u306f\u304b\u306a\u308a\u9f3b\u306b\u3064\u304f\u306a\u2026\u3084\u3063\u3071\u5225\u306e\u306b\u3057\u3088\u3046\u304b\u306a\u2026<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30ef\u30af\u30c1\u30f3\u306e\u526f\u53cd\u5fdc\u304b\u3089\u5fa9\u6d3b\u3057\u305f\u3002 \u7d50\u5c40\u63a5\u7a2e\u65e5\u306e\u7fcc\u65e5\u663c\uff5e\u7fcc\u3005\u65e5\u5348\u524d\u307e\u3067\u7d9a\u3044\u305f\u611f\u3058\u306b\u306a\u308b\u3002\u4f53\u6e29\u306f\u4e0b\u304c\u3063\u305f\u304c\u982d\u75db\u306f\u5fae\u5999\u306b\u6b8b\u3063\u3066\u3044\u308b\u611f\u3058\u304c\u3059\u308b\u3002 \u6628\u65e5\uff5e\u4eca\u65e5\u89e3\u3044\u305f\u7af6\u30d7\u30ed\u306e\u554f\u984c\u3002 \u7af6\u30d7\u30ed\u5178\u578b90\u554f-025 Digit Product &hellip; <\/p>\n<div><a href=\"https:\/\/k.foolslab.net\/dailyreport\/2022-5-2%e6%9c%88\/\" class=\"more\">Read more &raquo;<span class=\"screen-reader-text\"> &#8220;2022\/5\/2(\u6708)&#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-2693","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/2693","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=2693"}],"version-history":[{"count":5,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/2693\/revisions"}],"predecessor-version":[{"id":2698,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/posts\/2693\/revisions\/2698"}],"wp:attachment":[{"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/media?parent=2693"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/categories?post=2693"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/k.foolslab.net\/dailyreport\/wp-json\/wp\/v2\/tags?post=2693"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}