Submission #1280880

#TimeUsernameProblemLanguageResultExecution timeMemory
1280880jy0nPrinted Circuit Board (CEOI12_circuit)C++17
0 / 100
98 ms3532 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; const int __ = 2e5; int n; struct Deg { ll x, y; Deg (ll x, ll y): x(x), y(y) { } friend bool operator==(const Deg lhs, const Deg rhs) { return rhs.x*lhs.y==lhs.x*rhs.y ; } friend bool operator<(const Deg lhs, const Deg rhs) { return rhs.x*lhs.y<lhs.x*rhs.y ; }; friend bool operator<=(const Deg lhs, const Deg rhs) { return rhs.x*lhs.y<=lhs.x*rhs.y ; } }; struct Point { ll x, y; friend bool operator<(const Point lhs, const Point rhs) { ll d1 = lhs.dist2(), d2 = rhs.dist2(); ll v1 = rhs.x*lhs.y, v2 = lhs.x*rhs.y; if (v1==v2) return d1<d2; return v1<v2; } ll dist2() const { return x*x+y*y; } Deg deg() const { return Deg(x,y); } ll ccw(const Point& lhs, const Point& rhs) const { return (lhs.x-x)*(rhs.y-y)-(lhs.y-y)*(rhs.x-x); } } p[__]; void merge(stack<int>& st, stack<int>& tmp) { if (!tmp.size()) return; while (p[tmp.top()].deg()<=p[st.top()].deg() ) { //cout << " merge " << (tmp.top()+1) << " pop " << (st.top()+1) << '\n'; st.pop(); } while (tmp.size()) { //cout << " push- " << (tmp.top()+1) << '\n'; st.push(tmp.top()); tmp.pop(); } } int main() { //ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; int Mi, mi; Point M = {1, 0}, m = {0, 1}; for (int i=0; i<n; ++i) { cin >> p[i].x >> p[i].y; if (M<p[i]) { M = p[i]; Mi = i; } if (p[i]<m) { m = p[i]; mi = i; } } stack<int> st, tmp; st.push(mi); int dir=1, di = m.ccw(p[(mi+1)%n],p[(mi-1+n)%n])>0? -1 : 1; for (int i=(mi+di+n)%n,flag=1; flag; i=(i+di+n)%n) { if (flag&&i==Mi) flag=0; //cout << "i=" << (i+1) << " stsize=" << st.size() << '\n'; auto degi = p[i].deg(), degt = p[st.top()].deg(); auto Li = p[i].dist2(), Lt = p[st.top()].dist2(); if (degi==degt) { continue; } if (st.size()<2) { //cout << " push0 " << (i+1) << '\n'; st.push(i); continue; } int ndir = degi<degt? -1 : 1; if (dir*ndir<0&&Li<=Lt) { merge(st, tmp); Lt = p[st.top()].dist2(); degt = p[st.top()].deg(); //cout << "tmp push " << (i+1) << '\n'; tmp.push(i); } else if (dir*ndir>0) { //cout << " push+" << (i+1) << '\n'; st.push(i); } } merge(st, tmp); st.push(Mi); vector<int> ans; while (st.size()) { ans.push_back(st.top()+1); st.pop(); } sort(ans.begin(), ans.end()); cout << ans.size() << '\n'; for (auto v : ans) cout << v << ' '; cout << '\n'; }
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