HDU 3265 Posters
题意:给定一些矩形海报。中间有孔。求贴海报的之后的海报覆盖面积并
思路:海报一张能够分割成4个矩形。然后就是普通的矩形面积并了,利用线段树维护就可以
代码:
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std; typedef long long ll; const int N = 50005; struct Node {
int l, r, len, cover;
int size() {return r - l + 1;}
} node[N * 4]; struct Line {
int l, r, y, flag;
Line() {}
Line(int l, int r, int y, int flag) {
this->l = l; this->r = r;
this->y = y; this->flag = flag;
}
} line[N * 8]; struct Rec {
int x1, y1, x2, y2;
Rec() {}
Rec(int x1, int y1, int x2, int y2) {
this->x1 = x1; this->y1 = y1;
this->x2 = x2; this->y2 = y2;
}
} rec[N * 4]; bool cmp(Line a, Line b) {
return a.y < b.y;
} int n;
int x[4], y[4]; #define lson(x) ((x<<1)+1)
#define rson(x) ((x<<1)+2) void pushup(int x) {
if (node[x].cover) node[x].len = node[x].size();
else if (node[x].l == node[x].r) node[x].len = 0;
else node[x].len = node[lson(x)].len + node[rson(x)].len;
} void build(int l, int r, int x = 0) {
node[x].l = l; node[x].r = r;
if (l == r) {
node[x].cover = node[x].len = 0;
return;
}
int mid = (l + r) / 2;
build(l, mid, lson(x));
build(mid + 1, r, rson(x));
pushup(x);
} void add(int l, int r, int v, int x = 0) {
if (l > r) return;
if (node[x].l >= l && node[x].r <= r) {
node[x].cover += v;
pushup(x);
return;
}
int mid = (node[x].l + node[x].r) / 2;
if (l <= mid) add(l, r, v, lson(x));
if (r > mid) add(l, r, v, rson(x));
pushup(x);
} int main() {
while (~scanf("%d", &n) && n) {
build(0, 50000);
int rn = 0, ln = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < 4; j++)
scanf("%d%d", &x[j], &y[j]);
rec[rn++] = Rec(x[0], y[0], x[1], y[2]);
rec[rn++] = Rec(x[0], y[2], x[2], y[3]);
rec[rn++] = Rec(x[0], y[3], x[1], y[1]);
rec[rn++] = Rec(x[3], y[2], x[1], y[3]);
}
for (int i = 0; i < rn; i++) {
line[ln++] = Line(rec[i].x1, rec[i].x2, rec[i].y1, 1);
line[ln++] = Line(rec[i].x1, rec[i].x2, rec[i].y2, -1);
}
n = ln;
sort(line, line + n, cmp);
ll ans = 0;
for (int i = 0; i < n; i++) {
if (i) ans += (ll)node[0].len * (line[i].y - line[i - 1].y);
add(line[i].l, line[i].r - 1, line[i].flag);
}
printf("%lld\n", ans);
}
return 0;
}