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hdu 2461 容斥原理 Rectangle

2012-09-15 15:52 253 查看
题意:http://acm.hdu.edu.cn/showproblem.php?pid=2461

给你n(n很小)个长方形,求这中间任意长方形的面积并。

题解:

容斥原理。

#include <cstdio>
#include <iostream>
#include <cstring>
using namespace std;
int n,Q;
struct Rec{
int x1,x2,y1,y2;
}rec[30];
int s[(1 << 20) + 3], a[22],cnt,add,id;
Rec intersec(Rec a, Rec b){
Rec ret;
if(a.x2 <= b.x1 || b.x2 <= b.x1 || a.y2 <= b.y1 || b.y2 <= a.y1){
ret.x1 = ret.y1 = ret.x2 = ret.y2 = 0;
return ret;
}
ret.x1 = max(a.x1, b.x1);
ret.y1 = max(a.y1, b.y1);
ret.x2 = min(a.x2, b.x2);
ret.y2 = min(a.y2, b.y2);
return ret;
}
int Area(Rec r){
if(r.x1 >= r.x2 || r.y1 >= r.y2)
return 0;
return (r.y2 - r.y1) * (r.x2 - r.x1);
}
int In_exclusion(int k, Rec r){
if(Area(r) == 0) return 0;//
int ret = 0;
for(int i = k; i <= cnt; i ++){
Rec tmp = intersec(rec[a[i]],r);
ret += Area(tmp) - In_exclusion(i + 1,tmp);
}
return ret;
}
int main(){
int k,ca = 1;
while(~scanf("%d%d",&n,&Q) && (n || Q)){
printf("Case %d:\n",ca ++);
Rec total ;
total.x1 = total.y1 = 0;
total.x2 = total.y2 = 1000;
memset(s,0,sizeof(s));
for(int i = 1; i <= n; ++i){
scanf("%d%d%d%d",&rec[i].x1,&rec[i].y1,&rec[i].x2,&rec[i].y2);
}
for(int qu = 1; qu <= Q; qu ++){
scanf("%d",&k);
cnt = 0, add = 0;
memset(a,0,sizeof(a));
while(k --){
scanf("%d",&id);
add = (add | (1 << (id - 1)));
a[cnt ++] = id;
}
if(s[add] == 0)
s[add] = In_exclusion(0,total);
printf("Query %d: %d\n",qu, s[add]);
}
printf("\n");
}
return 0;
}
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