{"id":183,"date":"2010-03-23T16:09:00","date_gmt":"2010-03-23T08:09:00","guid":{"rendered":"http:\/\/localhost\/?p=183"},"modified":"2010-03-23T16:09:00","modified_gmt":"2010-03-23T08:09:00","slug":"hnoi2005_virtual_memory","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=183","title":{"rendered":"[HNOI2005]\u865a\u62df\u5185\u5b58"},"content":{"rendered":"\n<p>[HNOI2005]\u865a\u62df\u5185\u5b58<\/p>\n<p>Time Limit:50000MS  Memory Limit:165536K<br \/>Total Submit:16 Accepted:6 <br \/>Case Time Limit:5000MS<\/p>\n<p><strong>Description <\/strong><\/p>\n<p>\u64cd\u4f5c\u7cfb\u7edf\u4e2d\u4e00\u79cd\u91cd\u8981\u7684\u5b58\u50a8\u7ba1\u7406\u6280\u672f\u5c31\u662f\u865a\u62df\u5185\u5b58\u6280\u672f\u3002\u64cd\u4f5c\u7cfb\u7edf\u4e2d\u5141\u8bb8\u8fdb\u7a0b\u540c\u65f6\u8fd0\u884c\uff0c\u4e5f\u5c31\u662f\u5e76\u884c\u3002\u6bcf\u4e2a\u8fdb\u7a0b\u90fd\u6709\u5176\u76f8\u5bf9\u72ec\u7acb\u7684\u6570\u636e\u5757\uff08\u8fdb\u7a0b\u8fd0\u884c\u7684\u8fc7\u7a0b\u4e2d\u5c06\u5bf9\u5176\u8fdb\u884c\u8bfb\u5199\u64cd\u4f5c\uff09\u3002\u7406\u60f3\u7684\u60c5\u51b5\u4e0b\uff0c\u8fd9\u4e9b\u6570\u636e\u5757\u90fd\u5e94\u8be5\u5b58\u653e\u5728\u5185\u5b58\u4e2d\uff0c\u8fd9\u6837\u624d\u80fd\u5b9e\u73b0\u9ad8\u6548\u7684\u8bfb\u5199\u64cd\u4f5c\u3002\u4f46\u4e8b\u5b9e\u4e0a\uff0c\u5185\u5b58\u7684\u5bb9\u91cf\u6709\u9650\uff0c\u6bcf\u4e2a\u8fdb\u7a0b\u53ea\u80fd\u628a\u4e00\u90e8\u5206\u6570\u636e\u653e\u5728\u5185\u5b58\u4e2d\uff0c\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u77db\u76fe\uff0c\u63d0\u51fa\u4e86\u865a\u62df\u5185\u5b58\u6280\u672f\u3002 <br \/>\u865a\u62df\u5185\u5b58\u6280\u672f\u7684\u57fa\u672c\u539f\u7406\u662f\uff1a\u5bf9\u8fdb\u7a0b\u800c\u8a00\uff0c\u5185\u5b58\u7a7a\u95f4\u662f\u65e0\u9650\u5927\u7684\uff0c\u8fdb\u7a0b\u53ef\u4ee5\u968f\u610f\u5730\u8bfb\u5199\u6570\u636e\uff0c\u800c\u5bf9\u64cd\u4f5c\u7cfb\u7edf\u5185\u90e8\u800c\u8a00\uff0c\u5229\u7528\u5916\u5b58\u6765\u6a21\u62df\u6269\u5145\u7684\u5185\u5b58\u7a7a\u95f4\uff0c\u8fdb\u7a0b\u8981\u6c42\u8bbf\u95ee\u67d0\u4e2a\u5185\u5b58\u5355\u5143\u65f6\uff0c\u4ea4\u7531\u64cd\u4f5c\u7cfb\u7edf\u5904\u7406\uff0c\u64cd\u4f5c\u7cfb\u7edf\u9996\u5148\u5728\u5185\u5b58\u4e2d\u67e5\u627e\u8be5\u5355\u5143\u662f\u5426\u5b58\u5728\uff0c\u5982\u679c\u5b58\u5728\uff0c\u67e5\u627e\u6210\u529f\uff0c\u5426\u5219\u8f6c\u5165\u5916\u5b58\u67e5\u627e\uff08\u4e00\u5b9a\u5b58\u5728\u4e8e\u5916\u5b58\u4e2d\uff09\u3002 <br \/>\u5c31\u5b58\u50a8\u4ecb\u8d28\u7684\u7269\u7406\u6027\u8d28\u800c\u8a00\uff0c\u5185\u5b58\u7684\u8bbf\u95ee\u901f\u5ea6\u76f8\u5bf9\u4e8e\u5916\u5b58\u8981\u5feb\u5f97\u591a\uff0c\u56e0\u6b64\u5bf9\u4e8e\u6bcf\u4e2a\u8fdb\u7a0b\u6765\u8bf4\u64cd\u4f5c\u7cfb\u7edf\u5e94\u8be5\u628a\u90a3\u4e9b\u8bbf\u95ee\u6b21\u6570\u8f83\u591a\u7684\u6570\u636e\u5b58\u653e\u5728\u5185\u5b58\u4e2d\uff0c\u800c\u628a\u90a3\u4e9b\u8bbf\u95ee\u6b21\u6570\u5f88\u5c11\u7684\u6570\u636e\u653e\u5728\u5916\u5b58\u4e2d\u3002\u5982\u4f55\u9009\u62e9\u5185\u5b58\u4e2d\u6682\u7559\u7684\u6570\u636e\u662f\u4e00\u4e2a\u5f88\u503c\u5f97\u7814\u7a76\u7684\u95ee\u9898\uff0c\u4e0b\u9762\u4ecb\u7ecd\u4e00\u4e2a\u5185\u5b58\u7ba1\u7406\u4e2d\u6bd4\u8f83\u5e38\u7528\u7684\u7b97\u6cd5\uff1a <br \/>\u5185\u5b58\u4e2d\u7684\u6570\u636e\u4ee5\u9875\u4e3a\u57fa\u672c\u5b58\u50a8\u5355\u4f4d\uff0c\u8fdb\u7a0b\u7684\u8bfb\u5199\u64cd\u4f5c\u90fd\u9488\u5bf9\u9875\u6765\u8fdb\u884c\u3002\u5b9e\u9645\u5185\u5b58\u7a7a\u95f4\u88ab\u5206\u5272\u6210n\u9875\uff0c\u865a\u62df\u5185\u5b58\u7a7a\u95f4\u7684\u9875\u6570\u5f80\u5f80\u8981\u591a\u5f97\u591a\u3002\u67d0\u4e00\u65f6\u523b\uff0c\u8fdb\u7a0b\u9700\u8981\u8bbf\u95ee\u865a\u5b58\u7f16\u53f7\u4e3aP\u7684\u9875\uff0c\u8be5\u7b97\u6cd5\u7684\u6267\u884c\u6b65\u9aa4\u5982\u4e0b\uff1a <br \/>a. \u9996\u5148\u5728\u5185\u5b58\u4e2d\u67e5\u627e\uff0c\u5982\u679c\u8be5\u9875\u4f4d\u4e8e\u5185\u5b58\u4e2d\uff0c\u67e5\u627e\u6210\u529f\uff0c\u8f6cd\uff0c\u5426\u5219\u7ee7\u7eed\u4e0b\u9762\u7684\u64cd\u4f5c\uff1b <br \/>b. \u5bfb\u627e\u5185\u5b58\u4e2d\u662f\u5426\u5b58\u5728\u7a7a\u9875\uff08\u5373\u6ca1\u6709\u88c5\u8f7d\u4efb\u4f55\u6570\u636e\u9875\u7684\u9875\u9762\uff09\uff0c\u82e5\u6709\uff0c\u5219\u4ece\u5916\u5b58\u4e2d\u8bfb\u5165\u8981\u67e5\u627e\u9875\uff0c\u5e76\u5c06\u8be5\u9875\u9001\u81f3\u5185\u5b58\u4e2d\u7684\u7a7a\u9875\u8fdb\u884c\u5b58\u50a8\uff0c\u7136\u540e\u8f6cd\uff0c\u5426\u5219\u7ee7\u7eed\u4e0b\u9762\u7684\u64cd\u4f5c\uff1b <br \/>c. \u5728\u5185\u5b58\u4e2d\u5bfb\u627e\u4e00\u4e2a\u8bbf\u95ee\u6b21\u6570\u6700\u5c11\u7684\u9875\u9762\uff08\u5982\u679c\u5b58\u5728\u591a\u4e2a\u9875\u9762\u7684\u8bbf\u95ee\u6b21\u6570\u540c\u65f6\u4e3a\u6700\u5c11\uff0c\u5219\u9009\u53d6\u6700\u65e9\u8bfb\u5165\u6570\u636e\u8fdb\u5165\u5185\u5b58\u7684\u90a3\u4e2a\u9875\u9762\uff09\uff0c\u4ece\u5916\u5b58\u4e2d\u8bfb\u5165\u8981\u67e5\u627e\u9875\uff0c\u66ff\u6362\u8be5\u9875\u3002 <br \/>d. \u7ed3\u675f <br \/>\u6240\u8c13\u8bbf\u95ee\u6b21\u6570\u662f\u6307\u4ece\u5f53\u524d\u9875\u9762\u8fdb\u5165\u5185\u5b58\u5230\u8be5\u65f6\u523b\u88ab\u8bbf\u95ee\u7684\u6b21\u6570\uff0c\u5982\u679c\u8be5\u9875\u9762\u4ee5\u524d\u8fdb\u5165\u8fc7\u5185\u5b58\u5e76\u88ab\u5176\u5b83\u9875\u9762\u66ff\u6362\uff0c\u90a3\u4e48\u524d\u9762\u7684\u8bbf\u95ee\u6b21\u6570\u4e0d\u5e94\u8ba1\u5165\u8fd9\u4e2a\u65f6\u523b\u7684\u8bbf\u95ee\u6b21\u6570\u4e2d\u3002 <br \/>\u4f60\u7684\u4efb\u52a1\u662f\u8bbe\u8ba1\u4e00\u4e2a\u7a0b\u5e8f\u5b9e\u73b0\u4e0a\u8ff0\u7b97\u6cd5\u3002 <br \/>\u6d4b\u8bd5\u6570\u636e\u5c06\u4f1a\u63d0\u4f9bm\u6761\u8bfb\u5199\u5185\u5b58\u7684\u547d\u4ee4\uff0c\u6bcf\u6761\u547d\u9898\u63d0\u4f9b\u8981\u6c42\u8bbf\u95ee\u7684\u865a\u62df\u5185\u5b58\u9875\u7684\u7f16\u53f7P\u3002\u4f60\u7684\u7a0b\u5e8f\u8981\u6c42\u80fd\u591f\u6a21\u62df\u6574\u4e2am\u6761\u547d\u4ee4\u7684\u5168\u90e8\u6267\u884c\u8fc7\u7a0b\uff0c\u6240\u6709\u7684\u547d\u4ee4\u662f\u6309\u7167\u8f93\u5165\u7684\u5148\u540e\u6267\u884c\u7684\uff0c\u6700\u5f00\u59cb\u7684\u65f6\u5019\u5185\u5b58\u4e2d\u7684n\u9875\u5168\u4e3a\u7a7a\u3002 <\/p>\n<p><strong>Input <\/strong><\/p>\n<p>\u7b2c1\u884c\u4e3an&lt;10000\u548cm&lt;1000000\uff0c\u5206\u522b\u8868\u793a\u5185\u5b58\u9875\u6570\u548c\u8bfb\u5199\u5185\u5b58\u547d\u4ee4\u6761\u6570\u3002\u63a5\u4e0b\u6765\u6709m\u884c\uff0c\u5176\u4e2d\u7b2ci+1\u884c\u6709\u4e00\u4e2a\u6b63\u6574\u6570Pi&lt;=10^9\uff0c\u8868\u793a\u7b2ci\u6761\u8bfb\u5199\u5185\u5b58\u547d\u4ee4\u9700\u8981\u8bbf\u95ee\u7684\u865a\u62df\u5185\u5b58\u9875\u7684\u7f16\u53f7\u3002 <\/p>\n<p><strong>Output <\/strong><\/p>\n<p>\u4ec5\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u8868\u793a\u5728\u6574\u4e2a\u6a21\u62df\u8fc7\u7a0b\u4e2d\uff0c\u5728\u5185\u5b58\u4e2d\u76f4\u63a5\u67e5\u627e\u6210\u529f\u7684\u6b21\u6570\uff08\u5373\u4e0a\u9762\u7684\u7b97\u6cd5\u53ea\u6267\u884c\u6b65\u9aa4a\u7684\u6b21\u6570\uff09\u3002 <\/p>\n<p><strong>Sample Input <\/strong><\/p>\n<\/p>\n<p><strong>Sample Output <\/strong><\/p>\n<\/p>\n<p><strong>Source <br \/>\u5f88\u663e\u7136\u662f\u4e00\u4e2a\u6a21\u62df\u9898\u3002\u3002<br \/>\u997f\u3002\u8fd9\u4e2a\u5e94\u8be5\u7528\u4e00\u4e2aHash\u67e5\u627eid\uff0c\u7528\u4e00\u4e2aHeap\u4fdd\u5b58\u5f53\u524d\u5185\u5b58\u7684\u72b6\u6001\u7684\uff0c\u4f46\u6211\u76f4\u63a5\u7528\u4e86map\uff0c\u7ed3\u679c\u6162\u6b7b\u56e7\u3002\u3002<br \/>Code\uff1a<br \/><\/strong><\/p>\n<p>#include&lt;cstdio&gt;#include&lt;set&gt;#include&lt;map&gt;#include&lt;utility&gt;#include&lt;queue&gt;#include&lt;iostream&gt;using namespace std;typedef pair&lt;int,int&gt; ii;struct state{    int used,first;    bool inQ;    state(){}    state(int _first):used(1),first(_first),inQ(true){}};map&lt;int,state&gt; id;struct node{    int id,used,first;    node(const state&amp;s,int _id)    {        used=s.used;first=s.first;        id=_id;    }    bool operator&lt;(const node&amp;o)const    {        if(used!=o.used) return o.used&lt;used;        return o.first&lt;first;    }};int n,m,Time=0,ans=0;priority_queue&lt;node&gt; Q;void Check(){    while(Q.size()&gt;=n)    {        node t=Q.top();Q.pop();        if(t.used&lt;id[t.id].used)        {            t.used=id[t.id].used;            Q.push(t);        }        else        {            state&amp;s=id[t.id];            s.inQ=false;            s.used=1;            \/\/cout&lt;&lt;&quot;Out&quot;&lt;&lt;t.id&lt;&lt;endl;            break;        }    }}void Insert(int x){    if(id.count(x))    {        state&amp;s=id[x];        if(s.inQ)        {            \/\/cout&lt;&lt;&quot;Great&quot;&lt;&lt;x&lt;&lt;endl;            ans++;s.used++;s.first=Time;        }        else        {            Check();s.inQ=true;s.first=Time;            Q.push(node(s,x));        }    }    else    {        state s(Time);        id[x]=s;        Check();        Q.push(node(s,x));    }    \/\/cout&lt;&lt;&quot;In&quot;&lt;&lt;x&lt;&lt;endl;}int main(){    freopen(&quot;in&quot;,&quot;r&quot;,stdin);    scanf(&quot;%d %d&quot;,&amp;n,&amp;m);int x;    while(m&#8211;)    {        scanf(&quot;%d&quot;,&amp;x);        Insert(x);        ++Time;    }    cout&lt;&lt;ans&lt;&lt;endl;}<\/p>\n<p>Code\uff1a<\/p>\n<p>13 8                                      11234254 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[HNOI2005]\u865a\u62df\u5185\u5b58 Time Limit:50000MS Memory Limit:165536KTotal Submit:16 Accepted:6 Case Time Limit:5000MS Description \u64cd\u4f5c\u7cfb\u7edf\u4e2d\u4e00\u79cd\u91cd\u8981\u7684\u5b58\u50a8\u7ba1\u7406\u6280\u672f\u5c31\u662f\u865a\u62df\u5185\u5b58\u6280\u672f\u3002\u64cd\u4f5c\u7cfb\u7edf\u4e2d\u5141\u8bb8\u8fdb\u7a0b\u540c\u65f6\u8fd0\u884c\uff0c\u4e5f\u5c31\u662f\u5e76\u884c\u3002\u6bcf\u4e2a\u8fdb\u7a0b\u90fd\u6709\u5176\u76f8\u5bf9\u72ec\u7acb\u7684\u6570\u636e\u5757\uff08\u8fdb\u7a0b\u8fd0\u884c\u7684\u8fc7\u7a0b\u4e2d\u5c06\u5bf9\u5176\u8fdb\u884c\u8bfb\u5199\u64cd\u4f5c\uff09\u3002\u7406\u60f3\u7684\u60c5\u51b5\u4e0b\uff0c\u8fd9\u4e9b\u6570\u636e\u5757\u90fd\u5e94\u8be5\u5b58\u653e\u5728\u5185\u5b58\u4e2d\uff0c\u8fd9\u6837\u624d\u80fd\u5b9e\u73b0\u9ad8\u6548\u7684\u8bfb\u5199\u64cd\u4f5c\u3002\u4f46\u4e8b\u5b9e\u4e0a\uff0c\u5185\u5b58\u7684\u5bb9\u91cf\u6709\u9650\uff0c\u6bcf\u4e2a\u8fdb\u7a0b\u53ea\u80fd\u628a\u4e00\u90e8\u5206\u6570\u636e\u653e\u5728\u5185\u5b58\u4e2d\uff0c\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u77db\u76fe\uff0c\u63d0\u51fa\u4e86\u865a\u62df\u5185\u5b58\u6280\u672f\u3002 \u865a\u62df\u5185\u5b58\u6280\u672f\u7684\u57fa\u672c\u539f\u7406\u662f\uff1a\u5bf9\u8fdb\u7a0b\u800c\u8a00\uff0c\u5185\u5b58\u7a7a\u95f4\u662f\u65e0\u9650\u5927\u7684\uff0c\u8fdb\u7a0b\u53ef\u4ee5\u968f\u610f\u5730\u8bfb\u5199\u6570\u636e\uff0c\u800c\u5bf9\u64cd\u4f5c\u7cfb\u7edf\u5185\u90e8\u800c\u8a00\uff0c\u5229\u7528\u5916\u5b58\u6765\u6a21\u62df\u6269\u5145\u7684\u5185\u5b58\u7a7a\u95f4\uff0c\u8fdb\u7a0b\u8981\u6c42\u8bbf\u95ee\u67d0\u4e2a\u5185\u5b58\u5355\u5143\u65f6\uff0c\u4ea4\u7531\u64cd\u4f5c\u7cfb\u7edf\u5904\u7406\uff0c\u64cd\u4f5c\u7cfb\u7edf\u9996\u5148\u5728\u5185\u5b58\u4e2d\u67e5\u627e\u8be5\u5355\u5143\u662f\u5426\u5b58\u5728\uff0c\u5982\u679c\u5b58\u5728\uff0c\u67e5\u627e\u6210\u529f\uff0c\u5426\u5219\u8f6c\u5165\u5916\u5b58\u67e5\u627e\uff08\u4e00\u5b9a\u5b58\u5728\u4e8e\u5916\u5b58\u4e2d\uff09\u3002 \u5c31\u5b58\u50a8\u4ecb\u8d28\u7684\u7269\u7406\u6027\u8d28\u800c\u8a00\uff0c\u5185\u5b58\u7684\u8bbf\u95ee\u901f\u5ea6\u76f8\u5bf9\u4e8e\u5916\u5b58\u8981\u5feb\u5f97\u591a\uff0c\u56e0\u6b64\u5bf9\u4e8e\u6bcf\u4e2a\u8fdb\u7a0b\u6765\u8bf4\u64cd\u4f5c\u7cfb\u7edf\u5e94\u8be5\u628a\u90a3\u4e9b\u8bbf\u95ee\u6b21\u6570\u8f83\u591a\u7684\u6570\u636e\u5b58\u653e\u5728\u5185\u5b58\u4e2d\uff0c\u800c\u628a\u90a3\u4e9b\u8bbf\u95ee\u6b21\u6570\u5f88\u5c11\u7684\u6570\u636e\u653e\u5728\u5916\u5b58\u4e2d\u3002\u5982\u4f55\u9009\u62e9\u5185\u5b58\u4e2d\u6682\u7559\u7684\u6570\u636e\u662f\u4e00\u4e2a\u5f88\u503c\u5f97\u7814\u7a76\u7684\u95ee\u9898\uff0c\u4e0b\u9762\u4ecb\u7ecd\u4e00\u4e2a\u5185\u5b58\u7ba1\u7406\u4e2d\u6bd4\u8f83\u5e38\u7528\u7684\u7b97\u6cd5\uff1a \u5185\u5b58\u4e2d\u7684\u6570\u636e\u4ee5\u9875\u4e3a\u57fa\u672c\u5b58\u50a8\u5355\u4f4d\uff0c\u8fdb\u7a0b\u7684\u8bfb\u5199\u64cd\u4f5c\u90fd\u9488\u5bf9\u9875\u6765\u8fdb\u884c\u3002\u5b9e\u9645\u5185\u5b58\u7a7a\u95f4\u88ab\u5206\u5272\u6210n\u9875\uff0c\u865a\u62df\u5185\u5b58\u7a7a\u95f4\u7684\u9875\u6570\u5f80\u5f80\u8981\u591a\u5f97\u591a\u3002\u67d0\u4e00\u65f6\u523b\uff0c\u8fdb\u7a0b\u9700\u8981\u8bbf\u95ee\u865a\u5b58\u7f16\u53f7\u4e3aP\u7684\u9875\uff0c\u8be5\u7b97\u6cd5\u7684\u6267\u884c\u6b65\u9aa4\u5982\u4e0b\uff1a a. \u9996\u5148\u5728\u5185\u5b58\u4e2d\u67e5\u627e\uff0c\u5982\u679c\u8be5\u9875\u4f4d\u4e8e\u5185\u5b58\u4e2d\uff0c\u67e5\u627e\u6210\u529f\uff0c\u8f6cd\uff0c\u5426\u5219\u7ee7\u7eed\u4e0b\u9762\u7684\u64cd\u4f5c\uff1b b. \u5bfb\u627e\u5185\u5b58\u4e2d\u662f\u5426\u5b58\u5728\u7a7a\u9875\uff08\u5373\u6ca1\u6709\u88c5\u8f7d\u4efb\u4f55\u6570\u636e\u9875\u7684\u9875\u9762\uff09\uff0c\u82e5\u6709\uff0c\u5219\u4ece\u5916\u5b58\u4e2d\u8bfb\u5165\u8981\u67e5\u627e\u9875\uff0c\u5e76\u5c06\u8be5\u9875\u9001\u81f3\u5185\u5b58\u4e2d\u7684\u7a7a\u9875\u8fdb\u884c\u5b58\u50a8\uff0c\u7136\u540e\u8f6cd\uff0c\u5426\u5219\u7ee7\u7eed\u4e0b\u9762\u7684\u64cd\u4f5c\uff1b c. \u5728\u5185\u5b58\u4e2d\u5bfb\u627e\u4e00\u4e2a\u8bbf\u95ee\u6b21\u6570\u6700\u5c11\u7684\u9875\u9762\uff08\u5982\u679c\u5b58\u5728\u591a\u4e2a\u9875\u9762\u7684\u8bbf\u95ee\u6b21\u6570\u540c\u65f6\u4e3a\u6700\u5c11\uff0c\u5219\u9009\u53d6\u6700\u65e9\u8bfb\u5165\u6570\u636e\u8fdb\u5165\u5185\u5b58\u7684\u90a3\u4e2a\u9875\u9762\uff09\uff0c\u4ece\u5916\u5b58\u4e2d\u8bfb\u5165\u8981\u67e5\u627e\u9875\uff0c\u66ff\u6362\u8be5\u9875\u3002 d. \u7ed3\u675f \u6240\u8c13\u8bbf\u95ee\u6b21\u6570\u662f\u6307\u4ece\u5f53\u524d\u9875\u9762\u8fdb\u5165\u5185\u5b58\u5230\u8be5\u65f6\u523b\u88ab\u8bbf\u95ee\u7684\u6b21\u6570\uff0c\u5982\u679c\u8be5\u9875\u9762\u4ee5\u524d\u8fdb\u5165\u8fc7\u5185\u5b58\u5e76\u88ab\u5176\u5b83\u9875\u9762\u66ff\u6362\uff0c\u90a3\u4e48\u524d\u9762\u7684\u8bbf\u95ee\u6b21\u6570\u4e0d\u5e94\u8ba1\u5165\u8fd9\u4e2a\u65f6\u523b\u7684\u8bbf\u95ee\u6b21\u6570\u4e2d\u3002 \u4f60\u7684\u4efb\u52a1\u662f\u8bbe\u8ba1\u4e00\u4e2a\u7a0b\u5e8f\u5b9e\u73b0\u4e0a\u8ff0\u7b97\u6cd5\u3002 \u6d4b\u8bd5\u6570\u636e\u5c06\u4f1a\u63d0\u4f9bm\u6761\u8bfb\u5199\u5185\u5b58\u7684\u547d\u4ee4\uff0c\u6bcf\u6761\u547d\u9898\u63d0\u4f9b\u8981\u6c42\u8bbf\u95ee\u7684\u865a\u62df\u5185\u5b58\u9875\u7684\u7f16\u53f7P\u3002\u4f60\u7684\u7a0b\u5e8f\u8981\u6c42\u80fd\u591f\u6a21\u62df\u6574\u4e2am\u6761\u547d\u4ee4\u7684\u5168\u90e8\u6267\u884c\u8fc7\u7a0b\uff0c\u6240\u6709\u7684\u547d\u4ee4\u662f\u6309\u7167\u8f93\u5165\u7684\u5148\u540e\u6267\u884c\u7684\uff0c\u6700\u5f00\u59cb\u7684\u65f6\u5019\u5185\u5b58\u4e2d\u7684n\u9875\u5168\u4e3a\u7a7a\u3002 Input \u7b2c1\u884c\u4e3an&lt;10000\u548cm&lt;1000000\uff0c\u5206\u522b\u8868\u793a\u5185\u5b58\u9875\u6570\u548c\u8bfb\u5199\u5185\u5b58\u547d\u4ee4\u6761\u6570\u3002\u63a5\u4e0b\u6765\u6709m\u884c\uff0c\u5176\u4e2d\u7b2ci+1\u884c\u6709\u4e00\u4e2a\u6b63\u6574\u6570Pi&lt;=10^9\uff0c\u8868\u793a\u7b2ci\u6761\u8bfb\u5199\u5185\u5b58\u547d\u4ee4\u9700\u8981\u8bbf\u95ee\u7684\u865a\u62df\u5185\u5b58\u9875\u7684\u7f16\u53f7\u3002 Output \u4ec5\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u8868\u793a\u5728\u6574\u4e2a\u6a21\u62df\u8fc7\u7a0b\u4e2d\uff0c\u5728\u5185\u5b58\u4e2d\u76f4\u63a5\u67e5\u627e\u6210\u529f\u7684\u6b21\u6570\uff08\u5373\u4e0a\u9762\u7684\u7b97\u6cd5\u53ea\u6267\u884c\u6b65\u9aa4a\u7684\u6b21\u6570\uff09\u3002 Sample Input Sample Output Source \u5f88\u663e\u7136\u662f\u4e00\u4e2a\u6a21\u62df\u9898\u3002\u3002\u997f\u3002\u8fd9\u4e2a\u5e94\u8be5\u7528\u4e00\u4e2aHash\u67e5\u627eid\uff0c\u7528\u4e00\u4e2aHeap\u4fdd\u5b58\u5f53\u524d\u5185\u5b58\u7684\u72b6\u6001\u7684\uff0c\u4f46\u6211\u76f4\u63a5\u7528\u4e86map\uff0c\u7ed3\u679c\u6162\u6b7b\u56e7\u3002\u3002Code\uff1a #include&lt;cstdio&gt;#include&lt;set&gt;#include&lt;map&gt;#include&lt;utility&gt;#include&lt;queue&gt;#include&lt;iostream&gt;using namespace std;typedef pair&lt;int,int&gt; ii;struct state{ int used,first; bool inQ; state(){} state(int _first):used(1),first(_first),inQ(true){}};map&lt;int,state&gt; id;struct node{ int id,used,first; node(const state&amp;s,int 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