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HDU 1542 Atlantis

test using ant ane mission explore field key central

Atlantis

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 13934 Accepted Submission(s): 5768

Problem 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 file 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 Recommend linle | We have carefully selected several similar problems for you: 1828 1255 1540 1394 2795 思路:線段樹+掃描線。
#include<iostream>  
#include
<cstdio> #include<algorithm> #define N 300 using namespace std; double y[N]; struct Node{ double x;double y1;double y2; int flag; }node[N]; struct node{ int l;int r;double ml;double mr;int s;double len; }a[N*3]; bool cmp(Node a,Node b){ return a.x-b.x<0.0000001; } void build(int i,int left,int right){ a[i].l=left; a[i].r=right; a[i].ml=y[left]; a[i].mr=y[right]; a[i].s=0; a[i].len=0; if(a[i].l+1==a[i].r){ return ; } int mid=(left+right)>>1; build(i*2,left,mid); build(i*2+1,mid,right);//建樹時註意這裏不是mid+1,因為做相減的時候如果mid+1這麽建回到值左孩子的右邊與有孩子的左邊無法進行運算 } void callen(int i){ if(a[i].s>0){//註意這裏不是所有邊都是左孩子的長度加上右孩子的長度,他存在一個覆蓋問題 a[i].len=a[i].mr-a[i].ml; }else if(a[i].r-a[i].l==1){ a[i].len=0; }else{ a[i].len=a[i*2].len+a[i*2+1].len; } return ; } void updata(int i,Node b){ if(a[i].ml==b.y1&&a[i].mr==b.y2){ a[i].s+=b.flag; callen(i); return ; } if(b.y2<=a[i*2].mr) updata(i*2,b); else if(b.y1>=a[i*2+1].ml) updata(i*2+1,b); else{ Node temp=b; temp.y2=a[i*2].mr; updata(i*2,temp); temp=b; temp.y1=a[i*2+1].ml; updata(i*2+1,temp); } callen(i); return ; } int main(){ int n,t,p=1,te; double x1,x2,y1,y2; while(scanf("%d",&n),n){ t=1; for(int i=0;i<n;i++){ scanf("%lf%lf%lf%lf",&x1,&y1,&x2,&y2); node[t].x=x1; node[t].y1=y1; node[t].y2=y2; node[t].flag=1;//入邊 y[t++]=y1; node[t].x=x2; node[t].y1=y1; node[t].y2=y2; node[t].flag=-1;//出邊 y[t++]=y2; } sort(node+1,node+t,cmp); sort(y+1,y+t); build(1,1,t-1); updata(1,node[1]); double sum=0; for(int i=2;i<t;i++){ sum+=a[1].len*(node[i].x-node[i-1].x); updata(1,node[i]); } printf("Test case #%d\n",p++); printf("Total explored area: %.2lf\n\n",sum); } return 0; }

HDU 1542 Atlantis