{"id":266,"date":"2010-05-29T13:07:00","date_gmt":"2010-05-29T05:07:00","guid":{"rendered":"http:\/\/localhost\/?p=266"},"modified":"2010-05-29T13:07:00","modified_gmt":"2010-05-29T05:07:00","slug":"scoi2010_belt","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=266","title":{"rendered":"[Scoi2010]\u4f20\u9001\u5e26"},"content":{"rendered":"\n<p>[Scoi2010]\u4f20\u9001\u5e26 <\/p>\n<p>Time Limit:1000MS&#160; Memory Limit:65536K<br \/>Total Submit:48 Accepted:30<\/p>\n<p><strong>Description <\/strong><\/p>\n<p> \u5728\u4e00\u4e2a2\u7ef4\u5e73\u9762\u4e0a\u6709\u4e24\u6761\u4f20\u9001\u5e26\uff0c\u6bcf\u4e00\u6761\u4f20\u9001\u5e26\u53ef\u4ee5\u770b\u6210\u662f\u4e00\u6761\u7ebf\u6bb5\u3002\u4e24\u6761\u4f20\u9001\u5e26\u5206\u522b\u4e3a\u7ebf\u6bb5AB\u548c\u7ebf\u6bb5CD\u3002lxhgww\u5728AB\u4e0a\u7684\u79fb\u52a8\u901f\u5ea6\u4e3aP\uff0c\u5728CD\u4e0a\u7684 \u79fb\u52a8\u901f\u5ea6\u4e3aQ\uff0c\u5728\u5e73\u9762\u4e0a\u7684\u79fb\u52a8\u901f\u5ea6R\u3002\u73b0\u5728lxhgww\u60f3\u4eceA\u70b9\u8d70\u5230D\u70b9\uff0c\u4ed6\u60f3\u77e5\u9053\u6700\u5c11\u9700\u8981\u8d70\u591a\u957f\u65f6\u95f4 <\/p>\n<p><strong>Input <\/strong><\/p>\n<p> \u8f93\u5165\u6570\u636e\u7b2c\u4e00\u884c\u662f4\u4e2a\u6574\u6570\uff0c\u8868\u793aA\u548cB\u7684\u5750\u6807\uff0c\u5206\u522b\u4e3aAx\uff0cAy\uff0cBx\uff0cBy <br \/>\u7b2c\u4e8c\u884c\u662f4\u4e2a\u6574\u6570\uff0c\u8868\u793aC\u548cD\u7684\u5750\u6807\uff0c\u5206\u522b\u4e3aCx\uff0cCy\uff0cDx\uff0cDy <br \/>\u7b2c\u4e09\u884c\u662f3\u4e2a\u6574\u6570\uff0c\u5206\u522b\u662fP\uff0cQ\uff0cR <\/p>\n<p><strong>Output <\/strong><\/p>\n<p> \u8f93\u51fa\u6570\u636e\u4e3a\u4e00\u884c\uff0c\u8868\u793alxhgww\u4eceA\u70b9\u8d70\u5230D\u70b9\u7684\u6700\u77ed\u65f6\u95f4\uff0c\u4fdd\u7559\u5230\u5c0f\u6570\u70b9\u540e2\u4f4d <\/p>\n<p><strong>Sample Input <\/strong><\/p>\n<p>0 0 0 100<br \/>100 0 100 100<br \/>2 2 1<\/p>\n<p><strong>Sample Output <\/strong><\/p>\n<p>136.60<\/p>\n<p><strong>Hint <\/strong><\/p>\n<p> \u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c1&lt;= Ax\uff0cAy\uff0cBx\uff0cBy\uff0cCx\uff0cCy\uff0cDx\uff0cDy&lt;=1000 <br \/>1&lt;=P\uff0cQ\uff0cR&lt;=10 <\/p>\n<p><strong>Source <\/strong><\/p>\n<p> Day2<br \/>\u5f88\u663e\u7136\u6b63\u89e3\u662f\u53cc\u91cd\u4e8c\u5206\u4e4b\u7c7b\u7684\uff0c\u4e0d\u8fc7\u6211\u7528\u6a21\u62df\u9000\u706bA\u6389\u4e86\u56e7\u3002\u3002\u968f\u673a\u5316\u65e0\u654c\uff01\uff01\uff01<br \/>Code\uff1a<\/p>\n<p>#include &lt;vector&gt;<br \/>#include &lt;algorithm&gt;<br \/>#include &lt;utility&gt;<br \/>#include &lt;iostream&gt;<br \/>#include &lt;cstdio&gt;<br \/>#include &lt;cmath&gt;<br \/>#include &lt;cstdlib&gt;<br \/>#define rep(i,n) for(int i=0;i&lt;n;i++)<br \/>#define pb push_back<br \/>const int inf=~0U&gt;&gt;1;<br \/>using namespace std;<br \/>typedef long long ll;<br \/>typedef unsigned long long ull;<br \/>double P,Q,R;<br \/>struct Point<br \/>{<br \/>    double x,y;<br \/>    Point(){}<br \/>    Point(double _x,double _y):x(_x),y(_y){}<br \/>    Point operator*(double d)<br \/>    {<br \/>        return Point(x*d,y*d);<br \/>    }<br \/>    Point operator+(const Point&amp;o)const<br \/>    {<br \/>        return Point(x+o.x,y+o.y);<br \/>    }<br \/>};<br \/>struct Line<br \/>{<br \/>    Point A,B;<br \/>    Line(){}<br \/>    Point get(double d)<br \/>    {<br \/>        return A*d+B*(1-d);<br \/>    }<br \/>}A,B;<br \/>istream&amp; operator&gt;&gt;(istream&amp;in,Point&amp;p)<br \/>{<br \/>    in&gt;&gt;p.x&gt;&gt;p.y;<br \/>    return in;<br \/>}<br \/>istream&amp; operator&gt;&gt;(istream&amp;in,Line&amp;l)<br \/>{<br \/>    in&gt;&gt;l.A&gt;&gt;l.B;<br \/>    return in;<br \/>}<br \/>struct State<br \/>{<br \/>    double Up,Down;<br \/>    State(){}<br \/>    State(double _Up,double _Down):Up(_Up),Down(_Down){}<br \/>    void Just(double a,double b)<br \/>    {<br \/>        Up+=a;Down+=b;<br \/>    }<br \/>};<br \/>double Dist(const Point&amp;a,const Point&amp;b)<br \/>{<br \/>    static double A,B;<br \/>    A=a.x-b.x,B=a.y-b.y;<br \/>    return sqrt(A*A+B*B);<br \/>}<br \/>double Cal(State s)<br \/>{<br \/>    Point a=A.get(s.Up),b=B.get(s.Down);<br \/>    return Dist(a,A.A)\/P+Dist(a,b)\/R+Dist(b,B.B)\/Q;<br \/>}<br \/>double rand_double()<br \/>{<br \/>    return (double(2*rand())\/RAND_MAX)-1;<br \/>}<br \/>double check_Legal(State s)<br \/>{<br \/>    return s.Up&gt;=0&amp;&amp;s.Up&lt;=1&amp;&amp;s.Down&gt;=0&amp;&amp;s.Down&lt;=1;<br \/>}<br \/>int main()<br \/>{<br \/>    \/\/freopen(&quot;in&quot;,&quot;r&quot;,stdin);<br \/>    cin&gt;&gt;A&gt;&gt;B&gt;&gt;P&gt;&gt;Q&gt;&gt;R;<br \/>    State now(0,0),tmp;double min=Cal(now);<br \/>    for(double e=1;e&gt;1e-10;e\/=2)<br \/>    {<br \/>        int time=1000;<br \/>        while(time&#8211;)<br \/>        {<br \/>            tmp=now;tmp.Just(rand_double()*e,rand_double()*e);<br \/>            if(!check_Legal(tmp))continue;<br \/>            double new_min=Cal(tmp);<br \/>            if(new_min&lt;min)<br \/>            {<br \/>                min=new_min;now=tmp;<br \/>            }<br \/>        }<br \/>    }<br \/>    printf(&quot;%0.2lfn&quot;,min);<br \/>}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[Scoi2010]\u4f20\u9001\u5e26 Time Limit:1000MS&#160; Memory Limit:65536KTotal Submit:48 Accepted:30 Description \u5728\u4e00\u4e2a2\u7ef4\u5e73\u9762\u4e0a\u6709\u4e24\u6761\u4f20\u9001\u5e26\uff0c\u6bcf\u4e00\u6761\u4f20\u9001\u5e26\u53ef\u4ee5\u770b\u6210\u662f\u4e00\u6761\u7ebf\u6bb5\u3002\u4e24\u6761\u4f20\u9001\u5e26\u5206\u522b\u4e3a\u7ebf\u6bb5AB\u548c\u7ebf\u6bb5CD\u3002lxhgww\u5728AB\u4e0a\u7684\u79fb\u52a8\u901f\u5ea6\u4e3aP\uff0c\u5728CD\u4e0a\u7684 \u79fb\u52a8\u901f\u5ea6\u4e3aQ\uff0c\u5728\u5e73\u9762\u4e0a\u7684\u79fb\u52a8\u901f\u5ea6R\u3002\u73b0\u5728lxhgww\u60f3\u4eceA\u70b9\u8d70\u5230D\u70b9\uff0c\u4ed6\u60f3\u77e5\u9053\u6700\u5c11\u9700\u8981\u8d70\u591a\u957f\u65f6\u95f4 Input \u8f93\u5165\u6570\u636e\u7b2c\u4e00\u884c\u662f4\u4e2a\u6574\u6570\uff0c\u8868\u793aA\u548cB\u7684\u5750\u6807\uff0c\u5206\u522b\u4e3aAx\uff0cAy\uff0cBx\uff0cBy \u7b2c\u4e8c\u884c\u662f4\u4e2a\u6574\u6570\uff0c\u8868\u793aC\u548cD\u7684\u5750\u6807\uff0c\u5206\u522b\u4e3aCx\uff0cCy\uff0cDx\uff0cDy \u7b2c\u4e09\u884c\u662f3\u4e2a\u6574\u6570\uff0c\u5206\u522b\u662fP\uff0cQ\uff0cR Output \u8f93\u51fa\u6570\u636e\u4e3a\u4e00\u884c\uff0c\u8868\u793alxhgww\u4eceA\u70b9\u8d70\u5230D\u70b9\u7684\u6700\u77ed\u65f6\u95f4\uff0c\u4fdd\u7559\u5230\u5c0f\u6570\u70b9\u540e2\u4f4d Sample Input 0 0 0 100100 0 100 1002 2 1 Sample Output 136.60 Hint \u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c1&lt;= Ax\uff0cAy\uff0cBx\uff0cBy\uff0cCx\uff0cCy\uff0cDx\uff0cDy&lt;=1000 1&lt;=P\uff0cQ\uff0cR&lt;=10 Source Day2\u5f88\u663e\u7136\u6b63\u89e3\u662f\u53cc\u91cd\u4e8c\u5206\u4e4b\u7c7b\u7684\uff0c\u4e0d\u8fc7\u6211\u7528\u6a21\u62df\u9000\u706bA\u6389\u4e86\u56e7\u3002\u3002\u968f\u673a\u5316\u65e0\u654c\uff01\uff01\uff01Code\uff1a #include &lt;vector&gt;#include &lt;algorithm&gt;#include &lt;utility&gt;#include &lt;iostream&gt;#include &lt;cstdio&gt;#include &lt;cmath&gt;#include &lt;cstdlib&gt;#define rep(i,n) for(int i=0;i&lt;n;i++)#define pb push_backconst int inf=~0U&gt;&gt;1;using namespace std;typedef long long [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/266"}],"collection":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=266"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/266\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=266"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=266"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}