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POJ 2074 線段相交 視線問題

題意:給你一個代表房子的線段,代表路的線段,然後代表各種障礙物的線段。求出路上最長的區間,在區間中能看到完整的房子。

首先篩選出縱坐標在房子與路之間的,再根據視線完全能看到就行了。

#include <iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
typedef double PointType;
struct point
{
    PointType x,y;
};
struct line
{
    point l,r;
};
line house,road,data[200],ans[200];
int ansnum,n,num;
void getcoor(line &ans,double x1,double x2,double y)  //構建點坐標
{
    ans.l.x=x1,ans.r.x=x2;
    ans.l.y=ans.r.y=y;
}
point getpoint(point a,point b)   //求在路上的交點
{
    point wans;
    double k,b1;
    if(a.x==b.x)
        wans.x=a.x;
    else
        k=(a.y-b.y)/(a.x-b.x),
          b1=a.y-k*a.x,
             wans.x=(road.l.y-b1)/k;
    wans.y=road.l.y;
    return wans;
}
void getans(line a)  //將路上不可視區域轉化成線段
{
    ans[ansnum].l=getpoint(a.l,house.r);
    ans[ansnum].r=getpoint(a.r,house.l);
    ansnum++;
}
int cmp(line a,line b)
{
    return a.l.x<b.l.x;
}
int main()
{
    double x1,x2,y;
    while(~scanf("%lf%lf%lf",&x1,&x2,&y),(x1||x2||y))
    {
        num=ansnum=0;
        getcoor(house,x1,x2,y);
        scanf("%lf%lf%lf",&x1,&x2,&y),getcoor(road,x1,x2,y);
        scanf("%d",&n);
        for(int i=0; i<n; i++)
        {
            scanf("%lf%lf%lf",&x1,&x2,&y);
            if(y<house.l.y&&y>=road.l.y) //篩選線段在房子和路之間的障礙物
                getcoor(data[num++],x1,x2,y),getans(data[num-1]);
        }
        if(n==0)
        {
            printf("%.2f\n",road.r.x-road.l.x);
            continue;
        }
        getcoor(ans[ansnum++],-9999999,road.l.x,road.l.y);
        getcoor(ans[ansnum++],road.r.x,9999999,road.l.y);
        sort(ans,ans+ansnum,cmp);
        double ansmax=0,bj=ans[0].r.x;
        for(int i=0; i<ansnum; i++)
        {
            if(ans[i].l.x>bj)
                ansmax=max(ansmax,ans[i].l.x-bj);
            bj=max(ans[i].r.x,bj);
        }
        if(ansmax==0)
            puts("No View");
        else
            printf("%.2f\n",ansmax);
    }
    return 0;
}




最後更新:2017-04-03 20:43:08

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