用线段树解决特殊的扫描线问题
#include<bits/stdc++.h>
#define int long long
#define deg(a) cout << #a << " = " << a << "\n";
#define de(a) cout << #a << " = " << a << " ";
#define x first
#define y second
using namespace std;
const int N=100010;
int n;
struct Segment
{
double x,y1,y2;
int k;
bool operator < (const Segment &t)const
{
return x<t.x;
}
}seg[2*N];
struct Node
{
int l,r;
int cnt;
double len;
}tr[N*8];
vector<double> ys;
int find(double y)
{
return lower_bound(ys.begin(),ys.end(),y)-ys.begin();
}
void pushup(int u)
{
if(tr[u].cnt)tr[u].len=(ys[tr[u].r+1]-ys[tr[u].l]);
else if(tr[u].l!=tr[u].r)
{
tr[u].len=tr[u<<1].len+tr[u<<1|1].len;
}
else tr[u].len=0;
}
void build(int u,int l,int r)
{
tr[u]={l,r,0,0};
if(l!=r)
{
int mid=l+r>>1;
build(u<<1,l,mid),build(u<<1|1,mid+1,r);
}
}
void modify(int u,int l,int r,int k)
{
if(tr[u].l>=l&&tr[u].r<=r)
{
tr[u].cnt+=k;
pushup(u);
}
else
{
int mid=tr[u].l+tr[u].r>>1;
if(l<=mid)modify(u<<1,l,r,k);
if(r>mid)modify(u<<1|1,l,r,k);
pushup(u);
}
}
signed main()
{
int T=1;
while(scanf("%lld",&n),n)
{
ys.clear();
for(int i=0,j=0;i<n;i++)
{
double x1,y1,x2,y2;
scanf("%lf%lf%lf%lf",&x1,&y1,&x2,&y2);
seg[j++]={x1,y1,y2,1};
seg[j++]={x2,y1,y2,-1};
ys.push_back(y1),ys.push_back(y2);
}
sort(ys.begin(),ys.end());
ys.erase(unique(ys.begin(),ys.end()),ys.end());
build(1,0,ys.size()-2);
sort(seg,seg+2*n);
double res=0;
for(int i=0;i<n*2;i++)
{
if(i>0)res+=tr[1].len*(seg[i].x-seg[i-1].x);
modify(1,find(seg[i].y1),find(seg[i].y2)-1,seg[i].k);
}
printf("Test case #%lld\n",T++);
printf("Total explored area: %.2lf\n\n",res);
}
return 0;
}