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  • 【BZOJ1844/2210】Pku1379 Run Away 模拟退火

    【BZOJ1844/2210】Pku1379 Run Away

    题意:矩形区域中有一堆点,求矩形中一个位置使得它到所有点的距离的最小值最大。

    题解:模拟退火的裸题,再调调调调调参就行了~

    #include <cstdio>
    #include <cstring>
    #include <iostream>
    #include <cmath>
    #include <cstdlib>
    using namespace std;
    const int maxn=1010;
    struct pdd
    {
    	double x,y;
    	pdd() {}
    	pdd(double a,double b) {x=a,y=b;}
    }p[maxn];
    int n;
    double X,Y,T,mx;
    pdd ans,now,neo;
    double getdis(pdd a,pdd b)
    {
    	return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));
    }
    int rd()
    {
    	int ret=0,f=1;	char gc=getchar();
    	while(gc<'0'||gc>'9')	{if(gc=='-')f=-f;	gc=getchar();}
    	while(gc>='0'&&gc<='9')	ret=ret*10+gc-'0',gc=getchar();
    	return ret*f;
    }
    double solve(pdd a)
    {
    	double ret=1e10;
    	for(int i=1;i<=n;i++)	ret=min(ret,getdis(a,p[i]));
    	if(ret>mx)	mx=ret,ans=a;
    	return ret;
    }
    double Rand()
    {
    	return rand()%1000/1000.0;
    }
    void work()
    {
    	X=rd(),Y=rd(),n=rd();
    	int i,j;
    	for(i=1;i<=n;i++)	p[i].x=rd(),p[i].y=rd();
    	mx=0;
    	for(j=1;j<=50;j++)
    	{
    		now.x=Rand()*X,now.y=Rand()*Y,solve(now),T=1000;
    		while(T>1e-3)
    		{
    			double a=2.0*acos(-1.0)*Rand();
    			neo.x=now.x+T*cos(a),neo.y=now.y+T*sin(a),T*=0.95;
    			if(neo.x<0||neo.x>X||neo.y<0||neo.y>Y)	continue;
    			double de=solve(neo)-solve(now);
    			if(de>0)	now=neo;
    		}
    		T=0.5;
    		for(i=1;i<=500;i++)
    		{
    			double a=2.0*acos(-1.0)*Rand();
    			neo.x=now.x+T*cos(a);
    			neo.y=now.y+T*sin(a);
    			if(neo.x<0||neo.x>X||neo.y<0||neo.y>Y)	continue;
    			solve(neo);
    		}
    	}
    	printf("The safest point is (%.1lf, %.1lf).
    ",ans.x,ans.y);
    }
    int main()
    {
    	srand(2333666);
    	int T=rd();
    	while(T--)	work();
    }
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  • 原文地址:https://www.cnblogs.com/CQzhangyu/p/7258905.html
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