hdu 2461 容斥原理 Rectangle
2012-09-15 15:52
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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。
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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