POJ - 1696 Space Ant(极角排序)
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POJ - 1696 Space Ant(极角排序)
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題目鏈接:點擊查看
題目大意:現(xiàn)在有一只特殊的螞蟻,它會按照以下規(guī)則盡可能長的尋找路徑:
現(xiàn)在給出n個點,輸出最長的路徑
題目分析:既然是逆時針旋轉,那么每次只能走極角最小的一個,每次都排序找就可以了,時間復雜度是n*n*logn,極角排序的cmp函數(shù)還是用這張圖
代碼:
#include<iostream> #include<cstdio> #include<string> #include<ctime> #include<cmath> #include<cstring> #include<algorithm> #include<stack> #include<queue> #include<map> #include<set> #include<sstream> using namespace std;typedef long long LL;const int inf=0x3f3f3f3f;const int N=110;const double eps = 1e-8;int sgn(double x){if(fabs(x) < eps)return 0;if(x < 0)return -1;else return 1; }struct Point{double x,y;int id;Point(){}Point(double _x,double _y){x = _x;y = _y;}void input(){scanf("%d%lf%lf",&id,&x,&y);}bool operator < (Point b)const{return sgn(y-b.y)== 0?sgn(x-b.x)<0:y<b.y;}Point operator -(const Point &b)const{return Point(x-b.x,y-b.y);}//叉積double operator ^(const Point &b)const{return x*b.y - y*b.x;}//點積double operator *(const Point &b)const{return x*b.x + y*b.y;}//返回兩點的距離double distance(Point p){return hypot(x-p.x,y-p.y);} }point[N];double xmult(Point p0,Point p1,Point p2) {return (p1-p0)^(p2-p0); }int pos;bool cmp(Point a,Point b) {double temp=xmult(point[pos],a,b);if(sgn(temp)==0)return a.distance(point[pos])<b.distance(point[pos]);return sgn(temp)>0; }int main() { // freopen("input.txt","r",stdin); // ios::sync_with_stdio(false);int w;cin>>w;while(w--){int n;scanf("%d",&n);for(int i=0;i<n;i++){point[i].input();if(point[i]<point[0])swap(point[i],point[0]);}pos=0;for(int i=1;i<n;i++){sort(point+i,point+n,cmp);pos++;}printf("%d",n);for(int i=0;i<n;i++)printf(" %d",point[i].id);putchar('\n');}return 0; }?
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