POJ1151_Atlantis

Atlantis

Time Limit: 1000MS		Memory Limit: 10000K
Total Submissions: 20273		Accepted: 7656

最小面积并

Description

There are several ancient Greek texts that contain descriptions of the fabled island Atlantis. Some of these texts even include maps of parts of the island. But unfortunately, these maps describe different regions of Atlantis. Your friend Bill has to know the total area for which maps exist. You (unwisely) volunteered to write a program that calculates this quantity.

Input

The input consists of several test cases. Each test case starts with a line containing a single integer n (1 <= n <= 100) of available maps. The n following lines describe one map each. Each of these lines contains four numbers x1;y1;x2;y2 (0 <= x1 < x2 <= 100000;0 <= y1 < y2 <= 100000), not necessarily integers. The values (x1; y1) and (x2;y2) are the coordinates of the top-left resp. bottom-right corner of the mapped area. 
The input file is terminated by a line containing a single 0. Don't process it.

Output

For each test case, your program should output one section. The first line of each section must be "Test case #k", where k is the number of the test case (starting with 1). The second one must be "Total explored area: a", where a is the total explored area (i.e. the area of the union of all rectangles in this test case), printed exact to two digits to the right of the decimal point. 
Output a blank line after each test case.

Sample Input

2
10 10 20 20
15 15 25 25.5
0

Sample Output

Test case #1
Total explored area: 180.00 

Source

Mid-Central European Regional Contest 2000

#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <queue>
#include <stack>
#include <set>
using namespace std;
const int N=1010;
struct node
{
    int l,r;
    int cover;
    double x,y;
    double cnt;
};
struct Line
{
    double x,y1,y2;
    int flag;
    bool operator<(const Line& J)const
    {
        return x<J.x;
    }
};
node ST[N<<2];
Line Line[N];
int n;
double A[N];
void build(int l,int r,int rt)
{
    ST[rt].l=l;ST[rt].r=r;
    ST[rt].cover=ST[rt].cnt=0;
    ST[rt].x=A[l];ST[rt].y=A[r];
    if(r-l>1)
    {
        int mid=(l+r)>>1;
        build(l,mid,rt<<1);
        build(mid,r,rt<<1|1);
    }
}
void cal(int rt)
{
    if(ST[rt].cover>0)
        ST[rt].cnt=ST[rt].y-ST[rt].x;
    else if(ST[rt].r-ST[rt].l>1)
    {
        ST[rt].cnt=ST[rt<<1].cnt+ST[rt<<1|1].cnt;
    }
    else
    {
        ST[rt].cnt=0;
    }
}
void update(struct Line e,int rt)
{
    if(e.y1==ST[rt].x&&e.y2==ST[rt].y)
    {
        ST[rt].cover+=e.flag;
        cal(rt);
        return;
    }
    if(e.y2<=ST[rt<<1].y)
    {
        update(e,rt<<1);
    }
    else if(e.y1>=ST[rt<<1|1].x)
        update(e,rt<<1|1);
    else
    {
        struct Line tmp=e;
        tmp.y2=ST[rt<<1].y;
        update(tmp,rt<<1);
        tmp=e;
        tmp.y1=ST[rt<<1|1].x;
        update(tmp,rt<<1|1);
    }
    cal(rt);
}
int main()
{
    int k=0;
    while(scanf("%d",&n),n)
    {
        int cnt=0;
        double x1,x2,y1,y2;
        for(int i=0;i<n;i++)
        {
            scanf("%lf%lf%lf%lf",&x1,&y1,&x2,&y2);
            Line[i<<1].x=x1;
            Line[i<<1|1].x=x2;
            Line[i<<1].y1=Line[i<<1|1].y1=y1;
            Line[i<<1].y2=Line[i<<1|1].y2=y2;
            Line[i<<1].flag=1;
            Line[i<<1|1].flag=-1;
            A[i<<1]=y1,A[i<<1|1]=y2;
        }
        n<<=1;
        sort(A,A+n);
        sort(Line,Line+n);
        for(int i=1;i<n;i++)
        {
            if(A[i]!=A[i-1])
            A[cnt++]=A[i-1];
        }
        A[cnt++]=A[n-1];
        build(0,cnt-1,1);
        double ans=0;
        for(int i=0;i<n-1;i++)
        {
            update(Line[i],1);
            ans+=ST[1].cnt*(Line[i+1].x-Line[i].x);
        }
        printf("Test case #%d\n",++k);
        printf("Total explored area: %.2f\n\n",ans);
    }
    return 0;
}