{"id":1069,"date":"2019-05-11T13:52:51","date_gmt":"2019-05-11T05:52:51","guid":{"rendered":"https:\/\/cf.mnihyc.com\/blog\/?p=1069"},"modified":"2020-02-09T02:56:32","modified_gmt":"2020-02-08T18:56:32","slug":"yzoj-p3389-foi-2018-%e5%9b%9b%e6%a0%a1%e8%81%94%e8%ae%ad-round-3%e6%b6%88%e6%81%af%e5%af%86%e5%8c%99","status":"publish","type":"post","link":"https:\/\/cf.mnihyc.com\/blog\/archives\/1069","title":{"rendered":"YZOJ P3389 [FOI 2018 \u56db\u6821\u8054\u8bad Round 3]\u6d88\u606f\u5bc6\u5319"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P3389 [FOI 2018 \u56db\u6821\u8054\u8bad Round 3]\u6d88\u606f\u5bc6\u5319<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a<span style=\"color: #ff9900;\">\\(6.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5df2\u77e5\u5bc6\u5319\u4e0e\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u7684\u5b57\u7b26\u4e32\u6709\u5173\uff0c\u5b57\u7b26\u4e32\u4e2d\u7684\u5b57\u7b26\u90fd\u6765\u81ea\u4e8e\u5b57\u7b26\u96c6 \\(\\{\\text{&#8216;a&#8217;..}\\text{&#8216;z&#8217;}, \\text{&#8216;?&#8217;}\\}\\)\uff0c\u6bcf\u4e2a \\(\\text{&#8216;?&#8217;}\\) \u7684\u4f4d\u7f6e\u90fd\u8981\u88ab\u586b\u4e0a\u4e00\u4e2a\u5c0f\u5199\u5b57\u6bcd\uff0c\u6211\u4eec\u5b9a\u4e49\u4e00\u4e2a\u586b\u597d\u7684\u4e32\u662f\u5408\u6cd5\u7684\u5f53\u4e14\u4ec5\u5f53\u5b83\u6ee1\u8db3\u5982\u4e0b\u6761\u4ef6\uff1a<\/p>\n<p>\u5728\u8f93\u5165\u7684 \\(m\\) \u6b21\u64cd\u4f5c\u540e\u4e0e\u8fd9\u4e2a\u4e32\u64cd\u4f5c\u4e4b\u524d\u7684\u6837\u5b50\u76f8\u6bd4\u6ca1\u6709\u6539\u53d8\u3002<\/p>\n<p>\u4e00\u6b21\u64cd\u4f5c\u662f\u7ffb\u8f6c\u8fd9\u4e2a\u4e32\u7684\u7b2c \\(l_i\\) \u4e2a\u5b57\u7b26\u5230\u7b2c \\(r_i\\) \u4e2a\u5b57\u7b26\u3002<\/p>\n<p>\u6c42\u51fa\u5b57\u5178\u5e8f\u7b2c \\(K\\) \u5c0f\u7684\u5408\u6cd5\u7684\u80fd\u88ab\u586b\u51fa\u7684\u4e32\uff0c\u56e0\u4e3a\u5bc6\u7801\u5c31\u662f\u5b83\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c\u4e09\u4e2a\u6570 \\(n,m,k\\) \u3002<\/p>\n<p>\u7b2c\u4e8c\u884c\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u7684\u4e32\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(m\\) \u884c\u6bcf\u884c\u4e24\u4e2a\u6570 \\(l_i\\) \u548c \\(r_i\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u4e00\u4e2a\u4e32\uff0c\u8868\u793a\u5b57\u5178\u5e8f\u7b2c \\(K\\) \u5c0f\u7684\u5408\u6cd5\u7684\u80fd\u88ab\u586b\u51fa\u7684\u4e32\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">12 1 4\r\nztrs?a?isred\r\n5 7<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">ztrsdadisred<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e \\(100\\%\\) \u7684\u6570\u636e\uff0c\u4fdd\u8bc1 \\(n,m \\leq 5 \\times 10^5, k \\leq 1 \\times 10^{18}\\) \u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u9996\u5148\u628a\u6bcf\u4e2a \\(\\text{&#8216;?&#8217;}\\) \u53d8\u6210\u4e00\u4e2a \\(&gt;26\\) \u7684\u6570\u5b57\u7f16\u53f7\uff0c\u7136\u540e\u5e8f\u5217\u7ffb\u8f6c\u4f7f\u7528\u5e73\u8861\u6811\uff08Treap\uff0cSplay<del>\uff0cpb_ds<\/del>\u7b49\uff09\u7ef4\u62a4\u3002<\/p>\n<p>\u5982\u679c\u539f\u4e32\u6216\u65b0\u4e32\u4e2d\u6709\u7684\u5b57\u7b26\u4e0d\u4e3a \\(\\text{&#8216;?&#8217;}\\) \uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u76f4\u63a5\u786e\u5b9a\u8fd9\u4e00\u4f4d\u4e0a\u7684\u5b57\u6bcd\u3002<\/p>\n<p>\u5982\u679c\u90fd\u4e3a \\(\\text{&#8216;?&#8217;}\\) \u7684\u8bdd\uff0c\u5c31\u7528\u5e76\u67e5\u96c6\u628a\u5b83\u4eec\u5e76\u8d77\u6765\u3002<\/p>\n<p>\u6700\u540e\uff0c\u4e00\u4e2a\u8fde\u901a\u5757\u5185\u7684\u5b57\u6bcd\u4e00\u5b9a\u662f\u76f8\u540c\u7684\u3002<\/p>\n<p>\u56e0\u4e3a\u6709\u5b57\u5178\u5e8f\u7684\u9650\u5236\uff0c\u6240\u4ee5\u5e76\u67e5\u96c6\u5e76\u7684\u65f6\u5019\u6ce8\u610f\u7f16\u53f7\u5c0f\u7684\u4f5c\u4e3a\u6839\u8282\u70b9\u3002<\/p>\n<p>\u5b57\u5178\u5e8f \\(K\\) \u5927\u600e\u4e48\u6c42\uff1f\u628a\u5b83 \\(26\\) \u8fdb\u5236\u5206\u89e3\uff0c\u4e00\u4e2a\u4e2a\u8fde\u901a\u5757\u6309\u7f16\u53f7\u4ece\u5c0f\u5230\u5927\u5206\u914d\u5373\u53ef\u3002<\/p>\n<p>&nbsp;<\/p>\n<pre class=\"lang:default decode:true \">#include &lt;cstdio&gt;\r\n#include &lt;cstdlib&gt;\r\n#include &lt;cstring&gt;\r\n#include &lt;climits&gt;\r\n#include &lt;ctime&gt;\r\n\r\n#define _min(_a_,_b_) ((_a_)&lt;(_b_)?(_a_):(_b_))\r\n#define _max(_a_,_b_) ((_a_)&gt;(_b_)?(_a_):(_b_))\r\n\r\ntemplate&lt;class T&gt;\r\ninline T getnum()\r\n{\r\n\tregister char c=0;\r\n\twhile(!(c&gt;='0' &amp;&amp; c&lt;='9'))\r\n\t\tc=getchar();\r\n\tregister T a=0;\r\n\twhile(c&gt;='0' &amp;&amp; c&lt;='9')\r\n\t{\r\n\t\ta*=10,a+=c-'0';\r\n\t\tc=getchar();\r\n\t}\r\n\treturn a;\r\n}\r\n\r\ninline void getstr(int s[],int&amp;lq)\r\n{\r\n\tlq=26;\r\n\tregister char c=0;\r\n\twhile(!((c&gt;='a' &amp;&amp; c&lt;='z') || c=='?'))\r\n\t\tc=getchar();\r\n\tregister int ls=0;\r\n\twhile((c&gt;='a' &amp;&amp; c&lt;='z') || c=='?')\r\n\t{\r\n\t\ts[++ls]=c-'a'+1;\r\n\t\tif(c=='?')\r\n\t\t\ts[ls]=++lq;\r\n\t\tc=getchar();\r\n\t}\r\n\ts[ls+1]=0;\r\n\treturn;\r\n}\r\n\r\nint uf[501010];\r\nint UnionFind(register int x)\r\n{\r\n\tif(x == uf[x])\r\n\t\treturn x;\r\n\treturn uf[x]=UnionFind(uf[x]);\r\n}\r\ninline void UnionMerge(register int x,register int y)\r\n{\r\n\tregister int fx=UnionFind(x),fy=UnionFind(y);\r\n\tif(fx != fy)\r\n\t\tuf[_max(fx,fy)]=_min(fx,fy);\r\n}\r\n\r\nint s[501010],os[501010];\r\nint qval[501010];\r\n\r\nunsigned _seed,_ret;\r\n#define rnd() (_ret=_seed,_seed=_seed*7+23,_ret)\r\n#pragma GCC optimize(3)\r\nint root,cnt,size[501010],lson[501010],rson[501010],pri[501010];\r\nbool rev[501010];\r\ninline int CreateNode()\r\n{\r\n\tsize[++cnt]=1;\r\n\tpri[cnt]=rnd();\r\n\treturn cnt;\r\n}\r\n\r\ninline void PushUp(register int x)\r\n{\r\n\tsize[x]=size[lson[x]]+size[rson[x]]+1;\r\n}\r\n\r\ninline void PushDown(register int x)\r\n{\r\n\trev[x]^=1;\r\n\tlson[x]^=rson[x]^=lson[x]^=rson[x];\r\n\trev[lson[x]]^=1,rev[rson[x]]^=1;\r\n}\r\n\r\ninline int MergeTree(register int x,register int y)\r\n{\r\n\tif(!x || !y)\r\n\t\treturn x^y;\r\n\tif(rev[x])\r\n\t\tPushDown(x);\r\n\tif(rev[y])\r\n\t\tPushDown(y);\r\n\tif(pri[x] &lt; pri[y])\r\n\t{\r\n\t\trson[x]=MergeTree(rson[x],y);\r\n\t\treturn PushUp(x),x;\r\n\t}\r\n\telse\r\n\t{\r\n\t\tlson[y]=MergeTree(x,lson[y]);\r\n\t\treturn PushUp(y),y;\r\n\t}\r\n}\r\n\r\ninline void SplitTreeByOrder(register int o,register int k,int&amp;x,int&amp;y)\r\n{\r\n\tif(!o)\r\n\t{\r\n\t\tx=y=0;\r\n\t\treturn;\r\n\t}\r\n\tif(rev[o])\r\n\t\tPushDown(o);\r\n\tif(k &lt;= size[lson[o]])\r\n\t\ty=o,SplitTreeByOrder(lson[o],k,x,lson[o]);\r\n\telse\r\n\t\tx=o,SplitTreeByOrder(rson[o],k-size[lson[o]]-1,rson[o],y);\r\n\tPushUp(o);\r\n}\r\n\r\ninline int BuildTree(register int l,register int r)\r\n{\r\n\tstatic int stk[501010];\r\n\tregister int top=0;\r\n\tfor(register int i=l;i&lt;=r;i++)\r\n\t{\r\n\t\tregister int x=CreateNode(),last=0;\r\n\t\twhile(top &amp;&amp; pri[stk[top]] &gt; pri[x])\r\n\t\t\tPushUp(stk[top]),last=stk[top],stk[top--]=0;\r\n\t\tif(top)\r\n\t\t\trson[stk[top]]=x;\r\n\t\tlson[x]=last,stk[++top]=x;\r\n\t}\r\n\twhile(top)\r\n\t\tPushUp(stk[top--]);\r\n\treturn stk[1];\r\n}\r\n\r\nint _tls;\r\nvoid PrintTree(register int o)\r\n{\r\n\tif(rev[o])\r\n\t\tPushDown(o);\r\n\tif(lson[o])\r\n\t\tPrintTree(lson[o]);\r\n\ts[++_tls]=os[o];\r\n\tif(rson[o])\r\n\t\tPrintTree(rson[o]);\r\n}\r\n\r\nint main()\r\n{\r\nsrand(time(NULL));_seed=(unsigned)rand()*rand();\r\n\tregister int N=getnum&lt;int&gt;(),M=getnum&lt;int&gt;();\r\n\tlong long K=getnum&lt;long long&gt;();\r\n\tint lq=0;getstr(os,lq);\r\n\t\r\n\troot=BuildTree(1,N);\r\n\tfor(register int i=1;i&lt;=M;i++)\r\n\t{\r\n\t\tregister int l=getnum&lt;int&gt;(),r=getnum&lt;int&gt;();\r\n\t\t\/\/for(register int j=l;j&lt;r-j+l;j++)\r\n\t\t\/\/\ts[j]^=s[r-j+l]^=s[j]^=s[r-j+l];\r\n\t\tint a,b,c,d;\r\n\t\tSplitTreeByOrder(root,r,a,b);\r\n\t\tSplitTreeByOrder(a,l-1,c,d);\r\n\t\trev[d]^=1;\r\n\t\troot=MergeTree(c,MergeTree(d,b));\r\n\t}\r\n\tPrintTree(root);\r\n\r\n\tfor(register int i=26+1;i&lt;=lq;i++)\r\n\t\tuf[i]=i;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tif(os[i] != s[i])\r\n\t\t{\r\n\t\t\tif(os[i]&gt;26 &amp;&amp; s[i]&gt;26)\r\n\t\t\t\tUnionMerge(s[i],os[i]);\r\n\t\t\telse\r\n\t\t\t\tqval[(os[i]&gt;26 ? os[i] : s[i])]=(os[i]&gt;26 ? s[i] : os[i]);\r\n\t\t}\r\n\t\r\n\tfor(register int i=26+1;i&lt;=lq;i++)\r\n\t\tif(qval[i])\r\n\t\t\tqval[UnionFind(i)]=qval[i];\r\n\tfor(register int i=26+1;i&lt;=lq;i++)\r\n\t\tif(!qval[i])\r\n\t\t\tqval[i]=qval[UnionFind(i)];\r\n\t\r\n\tstatic int lst[501010];\r\n\tregister int lf=0;\r\n\tfor(register int i=26+1;i&lt;=lq;i++)\r\n\t\tif(i == UnionFind(i) &amp;&amp; !qval[i])\r\n\t\t\tlst[++lf]=i;\r\n\t\r\n\tK--;\r\n\tfor(register int i=lf;i&gt;=1;i--)\r\n\t{\r\n\t\tqval[lst[i]]=K%26+1;\r\n\t\tK\/=26;\r\n\t}\r\n\tfor(register int i=26+1;i&lt;=lq;i++)\r\n\t\tif(!qval[i])\r\n\t\t\tqval[i]=qval[UnionFind(i)];\r\n\t\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tif(s[i] &gt; 26)\r\n\t\t\tputchar('a'+qval[s[i]]-1);\r\n\t\telse\r\n\t\t\tputchar('a'+s[i]-1);\r\n\tputchar('\\n');\r\n\t\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>YZOJ P3389 [FOI 2018 \u56db\u6821\u8054\u8bad Round 3]\u6d88\u606f\u5bc6\u5319 \u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 &hellip; <a href=\"https:\/\/cf.mnihyc.com\/blog\/archives\/1069\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P3389 [FOI 2018 \u56db\u6821\u8054\u8bad Round 3]\u6d88\u606f\u5bc6\u5319<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41,71,61],"tags":[],"class_list":["post-1069","post","type-post","status-publish","format-standard","hentry","category-proa","category-balancedtree","category-unionset"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>YZOJ P3389 [FOI 2018 \u56db\u6821\u8054\u8bad Round 3]\u6d88\u606f\u5bc6\u5319 - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P3389 \u6d88\u606f\u5bc6\u5319 \u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u5df2\u77e5\u5bc6\u5319\u4e0e\u4e00\u4e2a\u957f\u5ea6\u4e3a (n) \u7684\u5b57\u7b26\u4e32\u6709\u5173\uff0c\u5b57\u7b26\u4e32\u4e2d\u7684\u5b57\u7b26\u90fd\u6765\u81ea\u4e8e\u5b57\u7b26\u96c6 ({text{&#039;a&#039;..}text{&#039;z&#039;}, text{&#039;?&#039;}})\uff0c\u6bcf\u4e2a\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/0self.mnihyc.com\/blog\/archives\/1069\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"YZOJ P3389 [FOI 2018 \u56db\u6821\u8054\u8bad 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