题目大意:N个矩形。求矩形周长的并。
解题思路:利用到线段数区间合并,记录有多少个连续块,还用到区间改动。每次对于一条边,除了要计算竖直方向,还要计算水平方向,而水平方向是改动后的增减量。
#include#include #include #include #include using namespace std;const int maxn = 20005;vector pos;#define lson(x) ((x)<<1)#define rson(x) (((x)<<1)|1)int lc[maxn << 2], rc[maxn << 2], set[maxn << 2];int L[maxn << 2], R[maxn << 2], S[maxn << 2], len[maxn << 2];inline int length(int u) { return rc[u] - lc[u] + 1;}inline void pushup (int u) { if (set[u]) { L[u] = R[u] = length(u); len[u] = pos[rc[u] + 1] - pos[lc[u]]; S[u] = 1; } else if (lc[u] == rc[u]) { len[u] = 0; L[u] = R[u] = S[u] = 0; } else { S[u] = S[lson(u)] + S[rson(u)] + (R[lson(u)] && L[rson(u)] ? -1 : 0); L[u] = L[lson(u)] + (L[lson(u)] == length(lson(u)) ? L[rson(u)] : 0); R[u] = R[rson(u)] + (R[rson(u)] == length(rson(u)) ? R[lson(u)] : 0); len[u] = len[lson(u)] + len[rson(u)]; }}inline void maintain (int u, int v) { set[u] += v; pushup(u);}void build (int u, int l, int r) { lc[u] = l; rc[u] = r; set[u] = 0; if (l == r) { maintain(u, 0); return; } int mid = (l + r) / 2; build(lson(u), l, mid); build(rson(u), mid + 1, r); pushup(u);}void modify (int u, int l, int r, int v) { if (l <= lc[u] && rc[u] <= r) { maintain(u, v); return; } int mid = (lc[u] + rc[u]) / 2; if (l <= mid) modify(lson(u), l, r, v); if (r > mid) modify(rson(u), l, r, v); pushup(u);}typedef long long ll;struct point { int x1, y1; int x2, y2;}p[maxn];struct Seg { int x, l, r, v; Seg (int x = 0, int l = 0, int r = 0, int v = 0) { this->x = x; this->l = l; this->r = r; this->v = v; }};inline bool cmp (const Seg& a, const Seg& b) { return a.x < b.x;}int N;vector vec;inline int find (int x) { return lower_bound(pos.begin(), pos.end(), x) - pos.begin();}int main () { while (scanf("%d", &N) == 1) { vec.clear(); pos.clear(); for (int i = 0; i < N; i++) { scanf("%d%d%d%d", &p[i].x1, &p[i].y1, &p[i].x2, &p[i].y2); pos.push_back(p[i].y1); pos.push_back(p[i].y2); } sort(pos.begin(), pos.end()); build(1, 0, pos.size()); for (int i = 0; i < N; i++) { int l = find(p[i].y1), r = find(p[i].y2) - 1; vec.push_back(Seg(p[i].x1, l, r, 1)); vec.push_back(Seg(p[i].x2, l, r, -1)); } sort(vec.begin(), vec.end(), cmp); ll ans = 0; for (int i = 0; i < vec.size(); i++) { int tmp = len[1]; modify(1, vec[i].l, vec[i].r, vec[i].v); ans += abs(tmp - len[1]); if (i != vec.size() - 1) ans += (2LL * S[1] * (vec[i+1].x - vec[i].x)); } printf("%lld\n", ans); } return 0;}
posted on 2017-04-27 18:42 阅读( ...) 评论( ...)