我是靠谱客的博主 美满红酒,这篇文章主要介绍HDU - 5862 Counting Intersections——线段树+扫描线,现在分享给大家,希望可以做个参考。

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#include <cstdio> #include <cstring> #include <iostream> #include <algorithm> #include <vector> #include <map> using namespace std; const int maxn = 2e5 + 10; int T, n, len; long long ans; struct Segment { int x1, y1, x2, y2; } seg[maxn]; vector<int> vx, vy; map<int, int> idx, idy; int m; struct Line { vector<pair<int, int>> l; vector<int> s; vector<int> t; }line[maxn]; struct Segmenttree { int sum[maxn<<2]; void build() { for (int i = 1; i <= (len<<2); i++) sum[i] = 0; } void pushup(int root) { sum[root] = sum[root<<1] + sum[root<<1|1]; } void update(int l, int r, int root, int p, int v) { if (l == r) { sum[root] += v; return; } int mid = (l + r) >> 1; if (p <= mid) update(l, mid, root<<1, p, v); else update(mid + 1, r, root<<1|1, p, v); pushup(root); } int query(int l, int r, int root, int ql, int qr) { if (ql <= l && r <= qr) return sum[root]; int mid = (l + r) >> 1; int ans = 0; if (ql <= mid) ans += query(l, mid, root<<1, ql, qr); if (mid < qr) ans += query(mid + 1, r, root<<1|1, ql, qr); return ans; } }ac; int witch(Segment &s) { return s.x1 == s.x2; } void init() { vx.clear(); vy.clear(); idx.clear(); idy.clear(); for (int i = 1; i <= n; i++) { if (!witch(seg[i])) { vx.push_back(seg[i].x1); vx.push_back(seg[i].x2); vy.push_back(seg[i].y1); } else { vx.push_back(seg[i].x1); vy.push_back(seg[i].y1); vy.push_back(seg[i].y2); } } sort(vx.begin(), vx.end()); len = unique(vx.begin(), vx.end()) - vx.begin(); for (int i = 0; i < len; i++) idx[vx[i]] = i + 1; sort(vy.begin(), vy.end()); m = unique(vy.begin(), vy.end()) - vy.begin(); for (int i = 0; i < m; i++) idy[vy[i]] = i + 1; for (int i = 1; i <= m; i++) { line[i].l.clear(); line[i].s.clear(); line[i].t.clear(); } for (int i = 1; i <= n; i++) { if (!witch(seg[i])) line[idy[seg[i].y1]].l.push_back(make_pair(idx[seg[i].x1], idx[seg[i].x2])); else { line[idy[seg[i].y1]].s.push_back(idx[seg[i].x1]); line[idy[seg[i].y2]].t.push_back(idx[seg[i].x1]); } } } void solve() { ans = 0; ac.build(); for (int i = 1; i <= m; i++) { for (unsigned int j = 0; j < line[i].s.size(); j++) ac.update(1, len, 1, line[i].s[j], 1); if (!line[i].l.empty()) { for (unsigned int j = 0; j < line[i].l.size(); j++) { ans += ac.query(1, len, 1, line[i].l[j].first, line[i].l[j].second); } } for (unsigned int j = 0; j < line[i].t.size(); j++) ac.update(1, len, 1, line[i].t[j], -1); } } int main() { scanf("%d", &T); while (T--) { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d%d%d", &seg[i].x1, &seg[i].y1, &seg[i].x2, &seg[i].y2); if (seg[i].x1 > seg[i].x2) swap(seg[i].x1, seg[i].x2); if (seg[i].y1 > seg[i].y2) swap(seg[i].y1, seg[i].y2); } init(); solve(); printf("%lldn", ans); } return 0; }

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