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NYOJ 78 圈水池 (入门级凸包)

题目链接:nyoj 78

题目讲解:本题考查的主要是凸包的用法,算是入门级的吧,当然前提是你接触过,平面几何:

AC代码:

 1 #include<iostream> 2 #include<algorithm> 3 #include<cstdio> 4 #include<cstring> 5 #include<vector> 6 using namespace std; 7 struct T 8 { 9     int x,y;10     friend int operator < (T a, T b)11 {12     if((a.x<b.x) || (a.x==b.x && a.y<b.y))13         return 1;14     return 0;15 }16 }a[105],ans[105];17 //用来判断第三点在当前两点构成的直线的左侧还是右侧,右侧返回值小于0;18 double judge(T a, T b,T c)19 {20   return (b.x-a.x)*(c.y-a.y)-(c.x-a.x)*(b.y-a.y);21 }22 int main()23 {24   int T,m;25   scanf("%d",&T);26   while(T--)27   {28 29       scanf("%d",&m);30       for(int i=0; i<m; i++)31       {32         scanf("%d %d",&a[i].x,&a[i].y);33       }34    sort(a,a+m);35    int k1=0;36    for(int i=0; i<m; i++)//下凸包,从下面扫描个点;37    {38        while(k1>1 && judge(ans[k1-2],ans[k1-1],a[i])<=0)39        {40             k1--;41        }42      ans[k1++]=a[i];43    }44     int k2=k1;45     for(int i=m-1; i>=0; i--)//上凸包,从上面扫描各点;46    {47        while(k1>k2 && judge(ans[k1-2],ans[k1-1],a[i])<=0)48        {49             k1--;50        }51      ans[k1++]=a[i];52    }53    k1--;54    sort(ans,ans+k1);55    for(int i=0; i<k1; i++)56     printf("%d %d\n",ans[i].x,ans[i].y);57   }58   return 0;59 }

 

NYOJ 78 圈水池 (入门级凸包)