计算几何的题目 庆幸不用判断共线 题目说了
第一种方法是读入一个处理一个 结果超时了
第二种方法是读完了后再处理 AC
同样是暴力求解 但是也得讲究技术啊
TLE代码:
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#define Max 100005
#define eps 1e-10
using namespace std;
int v[Max];//标记每层的有多少木棍
typedef struct
{
double x,y;
}point;
typedef struct
{
point a,b;
int n;//标记在第几层
}line;
line stick[Max];
double multi(point p0, point p1, point p2)
{
return ( p1.x - p0.x )*( p2.y - p0.y )-( p2.x - p0.x )*( p1.y - p0.y );
}
bool isIntersected(point s1,point e1, point s2,point e2)
{
return (max(s1.x,e1.x) >= min(s2.x,e2.x)) &&
(max(s2.x,e2.x) >= min(s1.x,e1.x)) &&
(max(s1.y,e1.y) >= min(s2.y,e2.y)) &&
(max(s2.y,e2.y) >= min(s1.y,e1.y)) &&
(multi(s1,s2,e1)*multi(s1,e1,e2)>0) &&
(multi(s2,s1,e2)*multi(s2,e2,e1)>0);
}
int main()
{
#ifdef LOCAL
freopen("in.txt","r",stdin);
#endif // LOCAL
int N;
while((scanf("%d",&N),N))
{
int Maxn = 1;
memset(v,0,sizeof(v));
for(int i = 0; i < N; i++)//读入一个处理一个
{
scanf("%lf%lf%lf%lf",&stick[i].a.x,&stick[i].a.y,&stick[i].b.x,&stick[i].b.y);
stick[i].n = 1;
for(int j = i-1; j >= 0; j--)
{
if(isIntersected(stick[i].a,stick[i].b,stick[j].a,stick[j].b))
stick[i].n = stick[j].n + 1;//相交在它的上面一层
if(stick[i].n > Maxn) {Maxn++;break;}
}
v[stick[i].n]++;
}
printf("Top sticks:");
int t = 1;
for(int i = 0; i < N&&t <=v[Maxn]; i++)//最顶层的木棒数
if(stick[i].n == Maxn)
{
if(t < v[Maxn]){printf(" %d,",i+1);t++;}
else {printf(" %d.\n",i+1);t++;}
}
}
return 0;
}
下面是AC代码
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#define Max 100005
#define eps 1e-10
using namespace std;
int v[Max];//标记每层的有多少木棍
typedef struct
{
double x,y;
}point;
typedef struct
{
point a,b;
}line;
line stick[Max];
double multi(point p0, point p1, point p2)
{
return ( p1.x - p0.x )*( p2.y - p0.y )-( p2.x - p0.x )*( p1.y - p0.y );
}
bool isIntersected(point s1,point e1, point s2,point e2)
{
return (max(s1.x,e1.x) >= min(s2.x,e2.x)) &&
(max(s2.x,e2.x) >= min(s1.x,e1.x)) &&
(max(s1.y,e1.y) >= min(s2.y,e2.y)) &&
(max(s2.y,e2.y) >= min(s1.y,e1.y)) &&
(multi(s1,s2,e1)*multi(s1,e1,e2)>0) &&
(multi(s2,s1,e2)*multi(s2,e2,e1)>0);
}
int main()
{
#ifdef LOCAL
freopen("in.txt","r",stdin);
#endif // LOCAL
int N;
while((scanf("%d",&N),N))
{
for(int i = 0;i < N; i++)v[i] = 0;
for(int i = 0; i < N; i++)//读入一个处理一个
scanf("%lf%lf%lf%lf",&stick[i].a.x,&stick[i].a.y,&stick[i].b.x,&stick[i].b.y);
for(int i = 0; i < N; i++) // 从头扫到尾 只需一遍判断
for(int j = i+1; j < N; j++)
{
if(isIntersected(stick[i].a,stick[i].b,stick[j].a,stick[j].b))
{v[i] = 1;break;}//标记不是在最上面一层
}
printf("Top sticks:");
int t = N-1;
while(v[t]) t--;
for(int i = 0; i <= t; i++)
if(v[i]== 0)
{
if(i < t)printf(" %d,",i+1);//最顶层的木棒数
else printf(" %d.\n",i+1);
}
}
return 0;
}