text
stringlengths
49
983k
#include <bits/stdc++.h> using namespace std; struct node { int num; int x, y; } a[200005], c[200005], b[200005]; vector<int> ret; int n; int m; bool vis[200005]; bool cmp(node a, node b) { if (a.x != b.x) return a.x < b.x; return a.y > b.y; } bool judge(node p0, node p1, node p2) { int k1 = p2.y, k2 = p1.y, k3 = p0.y, k4 = p2.x, k5 = p1.x, k6 = p0.x; return 1ll * (k1 * k3 - k2 * k3) * (k4 * k6 - k4 * k5) > 1ll * (k1 * k2 - k1 * k3) * (k5 * k6 - k4 * k6); } void tubao() { m = 1; c[1] = a[1]; for (int i = 2; i <= n; i++) { if (a[i].x == a[i - 1].x) continue; while (m >= 2 && judge(a[i], c[m], c[m - 1])) m--; c[++m] = a[i]; } for (int i = 1; i <= m; i++) vis[c[i].num] = 1; for (int i = 2; i <= m; i++) { if (c[i - 1].y <= c[i].y) { vis[c[i - 1].num] = 0; } else break; } for (int i = 2; i <= n; i++) { if (a[i].y == a[i - 1].y && a[i].x == a[i - 1].x && vis[a[i - 1].num]) vis[a[i].num] = true; } } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &a[i].x, &a[i].y); a[i].num = i; } sort(a + 1, a + n + 1, cmp); tubao(); for (int i = 1; i <= n; i++) { if (vis[i]) printf("%d ", i); } return 0; }
#include <bits/stdc++.h> using namespace std; using Int = long long; template <typename T1, typename T2> inline void chmin(T1 &a, T2 b) { if (a > b) a = b; } template <typename T1, typename T2> inline void chmax(T1 &a, T2 b) { if (a < b) a = b; } struct FastIO { FastIO() { cin.tie(0); ios::sync_with_stdio(0); } } fastio_beet; static const int CCW_COUNTER_CLOCKWISE = 1; static const int CCW_CLOCKWISE = -1; static const int CCW_ONLINE_BACK = 2; static const int CCW_ONLINE_FRONT = -2; static const int CCW_ON_SEGMENT = 0; static const int ICC_SEPERATE = 4; static const int ICC_CIRCUMSCRIBE = 3; static const int ICC_INTERSECT = 2; static const int ICC_INSCRIBE = 1; static const int ICC_CONTAIN = 0; struct Point { long double x, y; Point() {} Point(long double x, long double y) : x(x), y(y) {} Point operator+(Point p) { return Point(x + p.x, y + p.y); } Point operator-(Point p) { return Point(x - p.x, y - p.y); } Point operator*(long double k) { return Point(x * k, y * k); } Point operator/(long double k) { return Point(x / k, y / k); } long double norm() { return x * x + y * y; } long double abs() { return sqrt(norm()); } bool operator<(const Point &p) const { return x != p.x ? x < p.x : y < p.y; } bool operator==(const Point &p) const { return fabs(x - p.x) < (1e-20) && fabs(y - p.y) < (1e-20); } }; struct EndPoint { Point p; int seg, st; EndPoint() {} EndPoint(Point p, int seg, int st) : p(p), seg(seg), st(st) {} bool operator<(const EndPoint &ep) const { if (p.y == ep.p.y) return st < ep.st; return p.y < ep.p.y; } }; istream &operator>>(istream &is, Point &p) { is >> p.x >> p.y; return is; } ostream &operator<<(ostream &os, Point p) { os << fixed << setprecision(12) << p.x << " " << p.y; return os; } bool sort_x(Point a, Point b) { return a.x != b.x ? a.x < b.x : a.y < b.y; } bool sort_y(Point a, Point b) { return a.y != b.y ? a.y < b.y : a.x < b.x; } istream &operator>>(istream &is, vector<Point> &p) { for (int i = 0; i < (int)p.size(); i++) is >> p[i]; return is; } struct Segment { Point p1, p2; Segment() {} Segment(Point p1, Point p2) : p1(p1), p2(p2) {} }; istream &operator>>(istream &is, Segment &s) { is >> s.p1 >> s.p2; return is; } struct Circle { Point c; long double r; Circle() {} Circle(Point c, long double r) : c(c), r(r) {} }; istream &operator>>(istream &is, Circle &c) { is >> c.c >> c.r; return is; } long double norm(Point a) { return a.x * a.x + a.y * a.y; } long double abs(Point a) { return sqrt(norm(a)); } long double dot(Point a, Point b) { return a.x * b.x + a.y * b.y; } long double cross(Point a, Point b) { return a.x * b.y - a.y * b.x; } Point orth(Point p) { return Point(-p.y, p.x); } bool isOrthogonal(Point a, Point b) { return (fabs((dot(a, b)) - (0.0)) < (1e-20)); } bool isOrthogonal(Point a1, Point a2, Point b1, Point b2) { return isOrthogonal(a1 - a2, b1 - b2); } bool isOrthogonal(Segment s1, Segment s2) { return (fabs((dot(s1.p2 - s1.p1, s2.p2 - s2.p1)) - (0.0)) < (1e-20)); } bool isParallel(Point a, Point b) { return (fabs((cross(a, b)) - (0.0)) < (1e-20)); } bool isParallel(Point a1, Point a2, Point b1, Point b2) { return isParallel(a1 - a2, b1 - b2); } bool isParallel(Segment s1, Segment s2) { return (fabs((cross(s1.p2 - s1.p1, s2.p2 - s2.p1)) - (0.0)) < (1e-20)); } Point project(Segment s, Point p) { Point base = s.p2 - s.p1; long double r = dot(p - s.p1, base) / norm(base); return s.p1 + base * r; } Point reflect(Segment s, Point p) { return p + (project(s, p) - p) * 2.0; } long double arg(Point p) { return atan2(p.y, p.x); } Point polar(long double a, long double r) { return Point(cos(r) * a, sin(r) * a); } int ccw(Point p0, Point p1, Point p2); bool intersectSS(Point p1, Point p2, Point p3, Point p4); bool intersectSS(Segment s1, Segment s2); bool intersectPS(vector<Point> p, Segment l); int intersectCC(Circle c1, Circle c2); bool intersectSC(Segment s, Circle c); long double getDistanceLP(Segment l, Point p); long double getDistanceSP(Segment s, Point p); long double getDistanceSS(Segment s1, Segment s2); Point getCrossPointSS(Segment s1, Segment s2); Point getCrossPointLL(Segment l1, Segment l2); vector<Point> getCrossPointCL(Circle c, Segment l); vector<Point> getCrossPointCC(Circle c1, Circle c2); int contains(vector<Point> g, Point p); vector<Point> andrewScan(vector<Point> s); vector<Point> convex_hull(vector<Point> ps); long double diameter(vector<Point> s); bool isConvex(vector<Point> p); long double area(vector<Point> s); vector<Point> convexCut(vector<Point> p, Segment l); Segment bisector(Point p1, Point p2); Point translate(Point v, long double theta); vector<Segment> corner(Segment l1, Segment l2); vector<vector<int> > segmentArrangement(vector<Segment> &ss, vector<Point> &ps); int ccw(Point p0, Point p1, Point p2) { Point a = p1 - p0; Point b = p2 - p0; if (cross(a, b) > (1e-20)) return CCW_COUNTER_CLOCKWISE; if (cross(a, b) < -(1e-20)) return CCW_CLOCKWISE; if (dot(a, b) < -(1e-20)) return CCW_ONLINE_BACK; if (a.norm() < b.norm()) return CCW_ONLINE_FRONT; return CCW_ON_SEGMENT; } bool intersectSS(Point p1, Point p2, Point p3, Point p4) { return (ccw(p1, p2, p3) * ccw(p1, p2, p4) <= 0 && ccw(p3, p4, p1) * ccw(p3, p4, p2) <= 0); } bool intersectSS(Segment s1, Segment s2) { return intersectSS(s1.p1, s1.p2, s2.p1, s2.p2); } bool intersectPS(vector<Point> p, Segment l) { int n = p.size(); for (int i = 0; i < n; i++) if (intersectSS(Segment(p[i], p[(i + 1) % n]), l)) return 1; return 0; } int intersectCC(Circle c1, Circle c2) { if (c1.r < c2.r) swap(c1, c2); long double d = abs(c1.c - c2.c); long double r = c1.r + c2.r; if ((fabs((d) - (r)) < (1e-20))) return ICC_CIRCUMSCRIBE; if (d > r) return ICC_SEPERATE; if ((fabs((d + c2.r) - (c1.r)) < (1e-20))) return ICC_INSCRIBE; if (d + c2.r < c1.r) return ICC_CONTAIN; return ICC_INTERSECT; } bool intersectSC(Segment s, Circle c) { return getDistanceSP(s, c.c) <= c.r; } int intersectCS(Circle c, Segment s) { if (norm(project(s, c.c) - c.c) - c.r * c.r > (1e-20)) return 0; long double d1 = abs(c.c - s.p1), d2 = abs(c.c - s.p2); if (d1 < c.r + (1e-20) && d2 < c.r + (1e-20)) return 0; if ((d1 < c.r - (1e-20) && d2 > c.r + (1e-20)) || (d1 > c.r + (1e-20) && d2 < c.r - (1e-20))) return 1; Point h = project(s, c.c); if (dot(s.p1 - h, s.p2 - h) < 0) return 2; return 0; } long double getDistanceLP(Segment l, Point p) { return abs(cross(l.p2 - l.p1, p - l.p1) / abs(l.p2 - l.p1)); } long double getDistanceSP(Segment s, Point p) { if (dot(s.p2 - s.p1, p - s.p1) < 0.0) return abs(p - s.p1); if (dot(s.p1 - s.p2, p - s.p2) < 0.0) return abs(p - s.p2); return getDistanceLP(s, p); } long double getDistanceSS(Segment s1, Segment s2) { if (intersectSS(s1, s2)) return 0.0; return min(min(getDistanceSP(s1, s2.p1), getDistanceSP(s1, s2.p2)), min(getDistanceSP(s2, s1.p1), getDistanceSP(s2, s1.p2))); } Point getCrossPointSS(Segment s1, Segment s2) { for (int k = 0; k < 2; k++) { if (getDistanceSP(s1, s2.p1) < (1e-20)) return s2.p1; if (getDistanceSP(s1, s2.p2) < (1e-20)) return s2.p2; swap(s1, s2); } Point base = s2.p2 - s2.p1; long double d1 = abs(cross(base, s1.p1 - s2.p1)); long double d2 = abs(cross(base, s1.p2 - s2.p1)); long double t = d1 / (d1 + d2); return s1.p1 + (s1.p2 - s1.p1) * t; } Point getCrossPointLL(Segment l1, Segment l2) { long double a = cross(l1.p2 - l1.p1, l2.p2 - l2.p1); long double b = cross(l1.p2 - l1.p1, l1.p2 - l2.p1); if (abs(a) < (1e-20) && abs(b) < (1e-20)) return l2.p1; return l2.p1 + (l2.p2 - l2.p1) * (b / a); } vector<Point> getCrossPointCL(Circle c, Segment l) { vector<Point> ps; Point pr = project(l, c.c); Point e = (l.p2 - l.p1) / abs(l.p2 - l.p1); if ((fabs((getDistanceLP(l, c.c)) - (c.r)) < (1e-20))) { ps.emplace_back(pr); return ps; } long double base = sqrt(c.r * c.r - norm(pr - c.c)); ps.emplace_back(pr + e * base); ps.emplace_back(pr - e * base); return ps; } vector<Point> getCrossPointCS(Circle c, Segment s) { Segment l(s); vector<Point> res = getCrossPointCL(c, l); if (intersectCS(c, s) == 2) return res; if (res.size() > 1u) { if (dot(l.p1 - res[0], l.p2 - res[0]) > 0) swap(res[0], res[1]); res.pop_back(); } return res; } vector<Point> getCrossPointCC(Circle c1, Circle c2) { vector<Point> p(2); long double d = abs(c1.c - c2.c); long double a = acos((c1.r * c1.r + d * d - c2.r * c2.r) / (2 * c1.r * d)); long double t = arg(c2.c - c1.c); p[0] = c1.c + polar(c1.r, t + a); p[1] = c1.c + polar(c1.r, t - a); return p; } int contains(vector<Point> g, Point p) { int n = g.size(); bool x = false; for (int i = 0; i < n; i++) { Point a = g[i] - p, b = g[(i + 1) % n] - p; if (fabs(cross(a, b)) < (1e-20) && dot(a, b) < (1e-20)) return 1; if (a.y > b.y) swap(a, b); if (a.y < (1e-20) && (1e-20) < b.y && cross(a, b) > (1e-20)) x = !x; } return (x ? 2 : 0); } vector<Point> andrewScan(vector<Point> s) { vector<Point> l; if (s.size() < 3) return s; sort(s.begin(), s.end()); l.push_back(s[s.size() - 1]); l.push_back(s[s.size() - 2]); for (int i = s.size() - 3; i >= 0; i--) { for (int n = l.size(); n >= 2 && (ccw(l[n - 2], l[n - 1], s[i]) != CCW_CLOCKWISE && ccw(l[n - 2], l[n - 1], s[i]) != CCW_ONLINE_FRONT); n--) { l.pop_back(); } l.push_back(s[i]); } return l; } signed main() { int n; cin >> n; vector<int> rs(n), ss(n); for (int i = 0; i < n; i++) cin >> rs[i] >> ss[i]; using P = pair<int, int>; set<P> uku; int num = 0; vector<Point> qs(n); for (int i = 0; i < n; i++) { if (uku.count(P(rs[i], ss[i]))) continue; uku.emplace(rs[i], ss[i]); qs[num].x = 1.0 / rs[i]; qs[num].y = 1.0 / ss[i]; num++; } qs.resize(num); qs.emplace_back(1e18, 0); qs.emplace_back(0, 1e18); qs = andrewScan(qs); using P = pair<int, int>; set<P> cand; for (auto p : qs) { if (p.x == 0 || p.y == 0) continue; int a = round(1.0 / p.x); int b = round(1.0 / p.y); cand.emplace(a, b); } vector<int> ans; for (int i = 0; i < n; i++) if (cand.count(P(rs[i], ss[i]))) ans.emplace_back(i); for (int i = 0; i < (int)ans.size(); i++) { if (i) cout << " "; cout << ans[i] + 1; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct pnt { int x, y, id; void in(int i) { scanf("%d %d", &x, &y); id = i; } bool operator<(const pnt &p) const { return x != p.x ? x > p.x : y > p.y; } bool operator==(const pnt &p) const { return x == p.x && y == p.y; } } p[200100], q[200100]; long long cross(pnt a, pnt b, pnt c) { return 1ll * b.y * c.x * (a.x - b.x) * (a.y - c.y) - 1ll * b.x * c.y * (a.y - b.y) * (a.x - c.x); } int n; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) p[i].in(i), q[i] = p[i]; sort(p, p + n); int m = unique(p, p + n) - p; vector<pnt> rlt; vector<int> ans; for (int i = 0, j = 0; i < m; i++) { while (j > 1 && cross(rlt[j - 2], rlt[j - 1], p[i]) < 0) rlt.pop_back(), j--; rlt.push_back(p[i]), j++; } int k = 0, sz = rlt.size(); for (k = 1; k < sz; k++) if (rlt[k - 1].y >= rlt[k].y) break; sort(q, q + n); for (int i = 0, j = 0; i < k; i++) { while (!(q[j] == rlt[i])) j++; while (j < n && q[j] == rlt[i]) ans.push_back(q[j].id), j++; } sort(ans.begin(), ans.end()); for (auto x : ans) printf("%d ", x + 1); return 0; }
#include <bits/stdc++.h> using namespace std; int n, maxx, maxy; struct Piont { int x, y, id; } p[3000001]; int last[3000001], q[3000001], t; double k[3000001]; bool cmp(Piont a, Piont b) { return (a.x > b.x) || (a.x == b.x && a.y > b.y); } bool ok[3000001]; inline double askline(Piont a, Piont b) { return (double)a.x * b.x * (b.y - a.y) / ((double)a.y * b.y * (b.x - a.x)); } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> p[i].x >> p[i].y, p[i].id = i; if (maxy < p[i].y || (maxy == p[i].y && maxx < p[i].x)) maxx = p[i].x, maxy = p[i].y; } sort(p + 1, p + n + 1, cmp); q[t = 1] = 1; for (int i = 2; i <= n && maxx <= p[i].x; i++) { if (p[i].x == p[q[t]].x) { if (p[i].y == p[q[t]].y) last[p[i].id] = last[p[q[t]].id], last[p[q[t]].id] = p[i].id; continue; } while (t > 1 && k[t] > askline(p[q[t]], p[i])) t--; q[++t] = i; k[t] = askline(p[q[t - 1]], p[i]); } for (; t; --t) for (int i = p[q[t]].id; i; i = last[i]) ok[i] = 1; for (int i = 1; i <= n; i++) if (ok[i]) cout << i << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > p; int po[200200]; bool cmp(int g, int h) { return (p[g].first > p[h].first) || (p[g].first == p[h].first && p[g].second > p[h].second); } int main() { int n; scanf("%d", &n); vector<int> num; for (int i = 0; i < n; i++) { int x, y; scanf("%d %d", &x, &y); p.push_back(make_pair(x, -y)); num.push_back(i); } sort(num.begin(), num.end(), cmp); for (int i = 0; i < n; i++) po[num[i]] = i; vector<int> c; for (int i = 0; i < n; i++) { while (c.size() && p[num[i]].first == p[c.back()].first && p[num[i]].second != p[c.back()].second) c.pop_back(); if (c.size() && p[num[i]].first != p[c.back()].first && p[num[i]].second >= p[c.back()].second) continue; if (c.size() && p[num[i]].first == p[c.back()].first && p[num[i]].second == p[c.back()].second) continue; while (c.size() > 1) { int g = c[c.size() - 2]; int h = c[c.size() - 1]; int j = num[i]; long long k1 = p[h].second * p[j].first; long long k2 = p[h].first * p[j].second; if (k1 * (p[h].first - p[g].first) * (p[j].second - p[g].second) - k2 * (p[h].second - p[g].second) * (p[j].first - p[g].first) < 0) c.pop_back(); else break; } c.push_back(num[i]); } int m = c.size(); for (int i = 0; i < m; i++) { int it = c[i]; for (int j = po[c[i]] - 1; j >= 0; j--) if (p[num[j]].first == p[c[i]].first && p[num[j]].second == p[c[i]].second) c.push_back(num[j]); else break; for (int j = po[c[i]] + 1; j < n; j++) if (p[num[j]].first == p[c[i]].first && p[num[j]].second == p[c[i]].second) c.push_back(num[j]); else break; } sort(c.begin(), c.end()); for (int i = 0; i < c.size(); i++) printf("%d%c", c[i] + 1, " \n"[i == c.size() - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 5; const double eps = 1e-9; int s[maxn], r[maxn]; double a[maxn], b[maxn]; int st[maxn]; vector<int> equiv[maxn]; map<pair<int, int>, int> rep; bool f[maxn]; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d %d", &s[i], &r[i]); vector<int> o; for (int i = 0; i < n; ++i) { if (rep.find(make_pair(s[i], r[i])) != rep.end()) equiv[rep[make_pair(s[i], r[i])]].push_back(i); else o.push_back(i), rep[make_pair(s[i], r[i])] = i; } for (int i : o) a[i] = 1.0 * (r[i] - s[i]) / s[i] / r[i], b[i] = 1.0 / r[i]; sort(o.begin(), o.end(), [&](const int &i, const int &j) { return tie(a[i], b[i]) > tie(a[j], b[j]); }); int p = 0; for (int i = 0; i < o.size(); ++i) { int z = o[i]; while (p >= 2) { int x = st[p - 1], y = st[p - 2]; if ((b[y] - b[z]) * 1ll * (a[x] - a[y]) < (b[y] - b[x]) * 1ll * (a[z] - a[y])) --p; else break; } st[p++] = z; } vector<int> ans; int z = 0; for (int i = 0; i < p - 1; ++i) { int l = st[i], r = st[i + 1]; double x = 1.0 * (b[l] - b[r]) / (a[r] - a[l]); if (x < 0.0 || fabs(x) < eps) f[l] = true; } for (int i = p - 1; i > 0; --i) { int l = st[i - 1], r = st[i]; double x = 1.0 * (b[l] - b[r]) / (a[r] - a[l]); if (x > 1.0 || fabs(x - 1) < eps) f[r] = true; } for (int i = 0; i < p; ++i) if (!f[st[i]]) { ans.push_back(st[i]); for (int j = 0; j < equiv[st[i]].size(); ++j) ans.push_back(equiv[st[i]][j]); } sort(ans.begin(), ans.end()); for (int i = 0; i < ans.size(); ++i) printf("%d ", ans[i] + 1); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; int n; pair<pair<int, int>, int> arr[N]; int s[N]; int sz; vector<int> ans; set<pair<int, int> > ss; bool useless(pair<int, int> lft, pair<int, int> mid, pair<int, int> rgt) { return 1LL * (lft.second - mid.second) * (rgt.first - mid.first) * rgt.second * lft.first > 1LL * (mid.second - rgt.second) * (mid.first - lft.first) * lft.second * rgt.first; } bool lol(pair<int, int> lft, pair<int, int> rgt) { long long num = 1LL * (lft.second - rgt.second) * lft.first * rgt.first; long long den = 1LL * (rgt.first - lft.first) * lft.second * rgt.second; return !num || ((num / llabs(num)) != (den / llabs(den))); } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d %d", &arr[i].first.first, &arr[i].first.second); arr[i].second = i; } sort(arr + 1, arr + 1 + n); sz = 0; for (int i = 1; i <= n; ++i) { while (sz >= 1 && arr[s[sz]].first.first == arr[i].first.first && arr[s[sz]].first.second <= arr[i].first.second) { --sz; } while (sz >= 2 && useless(arr[s[sz - 1]].first, arr[s[sz]].first, arr[i].first)) { --sz; } s[++sz] = i; } for (int i = 1; i <= sz; ++i) { if (i < sz) { if (lol(arr[s[i]].first, arr[s[i + 1]].first)) { continue; } } ss.insert(arr[s[i]].first); } for (int i = 1; i <= n; ++i) { if (ss.find(arr[i].first) != ss.end()) { ans.emplace_back(arr[i].second); } } sort(ans.begin(), ans.end()); for (int x : ans) { printf("%d ", x); } }
#include <bits/stdc++.h> using namespace std; struct point { double x, y; int id; bool operator<(point a) const { return x != a.x ? x < a.x : y < a.y; } } p[200010]; int n, tot; int s[200010], top; std::vector<int> ans, vec[200010]; inline double calc(int a, int b) { return (p[a].y - p[b].y) / (p[a].x - p[b].x); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int r, s; scanf("%d%d", &r, &s); p[i] = (point){(double)1.0 / r, (double)1.0 / s, i}; } sort(p + 1, p + 1 + n); tot = 1; for (int i = 2; i <= n; i++) if (p[i].x != p[tot].x) p[++tot] = p[i]; else if (p[i].y == p[tot].y) vec[p[tot].id].push_back(p[i].id); s[1] = 1; top = 1; for (int i = 2; i <= tot; i++) { while (top > 1 && calc(s[top - 1], s[top]) > calc(s[top - 1], i)) top--; s[++top] = i; } ans.push_back(p[s[1]].id); for (auto i : vec[p[s[1]].id]) ans.push_back(i); for (int i = 2; i <= top; i++) { if (calc(s[i - 1], s[i]) < 0) { ans.push_back(p[s[i]].id); for (int j : vec[p[s[i]].id]) ans.push_back(j); } } sort(ans.begin(), ans.end()); for (auto i : ans) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; struct Point { double x, y; int id; Point() {} Point(double x, double y) { this->x = x; this->y = y; } void read(int id) { int s, b; scanf("%d%d", &s, &b); x = 1000000.0 / s; y = 1000000.0 / b; this->id = id; } }; const double eps = 1e-16; int dcmp(double x) { if (fabs(x) < eps) return 0; else return x < 0 ? -1 : 1; } Point operator+(Point A, Point B) { return Point(A.x + B.x, A.y + B.y); } Point operator-(Point A, Point B) { return Point(A.x - B.x, A.y - B.y); } Point operator*(Point A, double p) { return Point(A.x * p, A.y * p); } Point operator/(Point A, double p) { return Point(A.x / p, A.y / p); } bool operator<(const Point& a, const Point& b) { return a.x < b.x || (dcmp(a.x - b.x) == 0 && a.y < b.y); } bool operator==(const Point& a, const Point& b) { return dcmp(a.x - b.x) == 0 && dcmp(a.y - b.y) == 0; } double Dot(Point A, Point B) { return A.x * B.x + A.y * B.y; } double Length(Point A) { return sqrt(Dot(A, A)); } double Angle(Point A, Point B) { return acos(Dot(A, B) / Length(A) / Length(B)); } double Cross(Point A, Point B) { return A.x * B.y - A.y * B.x; } double Area2(Point A, Point B, Point C) { return Cross(B - A, C - A); } struct Line { Point v, p; Line() {} Line(Point v, Point p) { this->v = v; this->p = p; } Point point(double t) { return v + p * t; } }; Point Rotate(Point A, double rad) { return Point(A.x * cos(rad) - A.y * sin(rad), A.x * sin(rad) + A.y * cos(rad)); } Point AngleBisector(Point p, Point v1, Point v2) { double rad = Angle(v1, v2); return Rotate(v1, dcmp(Cross(v1, v2)) * 0.5 * rad); } bool LineCoincide(Point p1, Point p2, Point p3) { return dcmp(Cross(p2 - p1, p3 - p1)) == 0; } bool LineParallel(Point v, Point w) { return Cross(v, w) == 0; } bool LineVertical(Point v, Point w) { return Dot(v, w) == 0; } Point GetLineIntersection(Point P, Point v, Point Q, Point w) { Point u = P - Q; double t = Cross(w, u) / Cross(v, w); return P + v * t; } double DistanceToLine(Point P, Point A, Point B) { Point v1 = B - A, v2 = P - A; return fabs(Cross(v1, v2)) / Length(v1); } double DistanceToSegment(Point P, Point A, Point B) { if (A == B) return Length(P - A); Point v1 = B - A, v2 = P - A, v3 = P - B; if (dcmp(Dot(v1, v2)) < 0) return Length(v2); else if (dcmp(Dot(v1, v3)) > 0) return Length(v3); else return fabs(Cross(v1, v2)) / Length(v1); } Point GetLineProjection(Point P, Point A, Point B) { Point v = B - A; return A + v * (Dot(v, P - A) / Dot(v, v)); } bool SegmentProperIntersection(Point a1, Point a2, Point b1, Point b2) { double c1 = Cross(a2 - a1, b1 - a1), c2 = Cross(a2 - a1, b2 - a1), c3 = Cross(b2 - b1, a1 - b1), c4 = Cross(b2 - b1, a2 - b1); return dcmp(c1) * dcmp(c2) < 0 && dcmp(c3) * dcmp(c4) < 0; } bool SegmentProperIntersection2(Point a1, Point a2, Point b1, Point b2) { double c1 = Cross(a2 - a1, b1 - a1), c2 = Cross(a2 - a1, b2 - a1), c3 = Cross(b2 - b1, a1 - b1), c4 = Cross(b2 - b1, a2 - b1); return max(a1.x, a2.x) >= min(b1.x, b2.x) && max(b1.x, b2.x) >= min(a1.x, a2.x) && max(a1.y, a2.y) >= min(b1.y, b2.y) && max(b1.y, b2.y) >= min(a1.y, a2.y) && dcmp(c1) * dcmp(c2) <= 0 && dcmp(c3) * dcmp(c4) <= 0; } bool OnSegment(Point p, Point a1, Point a2) { return dcmp(Cross(a1 - p, a2 - p)) == 0 && dcmp(Dot(a1 - p, a2 - p)) < 0; } double PolygonArea(Point* p, int n) { double area = 0; for (int i = 1; i < n - 1; i++) area += Cross(p[i] - p[0], p[i + 1] - p[0]); return area / 2; } int isPointInPolygon(Point o, Point* p, int n) { int wn = 0; for (int i = 0; i < n; i++) { if (OnSegment(o, p[i], p[(i + 1) % n])) return -1; int k = dcmp(Cross(p[(i + 1) % n] - p[i], o - p[i])); int d1 = dcmp(p[i].y - o.y); int d2 = dcmp(p[(i + 1) % n].y - o.y); if (k > 0 && d1 <= 0 && d2 > 0) wn++; if (k < 0 && d2 <= 0 && d1 > 0) wn--; } if (wn != 0) return 1; return 0; } const int N = 200005; int to[N]; int ConvexHull(Point* p, int n, Point* ch) { sort(p, p + n); int m = 0; memset(to, -1, sizeof(to)); for (int i = 0; i < n; i++) { to[i] = i; if (i && p[i] == p[i - 1]) { to[i] = to[i - 1]; continue; } while (m > 1 && dcmp(Cross(ch[m - 1] - ch[m - 2], p[i] - ch[m - 2])) <= 0) m--; ch[m++] = p[i]; } int k = m; for (int i = n - 2; i >= 0; i--) { while (m > k && dcmp(Cross(ch[m - 1] - ch[m - 2], p[i] - ch[m - 2])) <= 0) m--; ch[m++] = p[i]; } if (n > 1) m--; return m; } Point a[N + 10], ch[N + 10]; bool vis[N + 10]; int n, m; double mi = 1e18; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { a[i].read(i); } m = ConvexHull(a, n, ch); for (int i = 0; i < m; i++) mi = min(mi, ch[i].y); for (int i = 0; i < m; i++) { vis[ch[i].id] = 1; if (ch[i].y == mi) break; } for (int i = 0; i < n; i++) if (vis[a[to[i]].id]) vis[a[i].id] = 1; for (int i = 0; i < n; i++) if (vis[i]) { printf("%d", i + 1); if (i == n - 1) puts(""); else putchar(' '); } return 0; }
#include <bits/stdc++.h> using namespace std; int64_t det(const pair<int, int> &a, const pair<int, int> &b, const pair<int, int> &c) { return int64_t(c.second - a.second) * (c.first - b.first) * a.first * b.second - int64_t(c.first - a.first) * (c.second - b.second) * a.second * b.first; } int main() { int n; cin >> n; vector<pair<int, int> > p; p.reserve(n + 2); for (int i = 0; i < n; ++i) { int second, first; scanf("%d%d", &second, &first); p.emplace_back(second, first); } vector<pair<int, int> > P = p; p.emplace_back(0, 10001); p.emplace_back(10001, 0); sort((p).begin(), (p).end()); vector<pair<int, int> > ch; int k = -1; ch.reserve(n + 2); for (auto q : p) { for (; k > 0 && (ch[k].second == q.second || det(ch[k - 1], ch[k], q) < 0); --k) ch.pop_back(); ch.push_back(q); ++k; } sort((ch).begin(), (ch).end()); for (int i = 0; i < n; ++i) if (binary_search((ch).begin(), (ch).end(), P[i])) printf("%d ", i + 1); return 0; }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1.0); const int inf = 0x3f3f3f3f; const long long INF = 0x3f3f3f3f3f3f3f3fll; const long long mod = (long long)(1e9 + 7); const int MAX_N = 200010; const double eps = 1e-7; int n, m; int vis[MAX_N]; inline int sgn(double x) { if (fabs(x) <= eps) return 0; else if (x > 0) return 1; else return -1; } struct Point { int tx, ty, id; double x, y; Point() {} Point(double _x, double _y) : x(_x), y(_y) {} Point operator-(const Point& rhs) const { return Point(x - rhs.x, y - rhs.y); } double cross(const Point& rhs) const { return x * rhs.y - y * rhs.x; } bool operator<(const Point& rhs) const { if (!sgn(x - rhs.x)) return y < rhs.y; return x < rhs.x; } } P[MAX_N], V[MAX_N], leftCorner; int andrew() { sort(P, P + n); int k = 0; for (int i = 0; i < n; ++i) { if (i && !sgn(P[i].x - P[i - 1].x)) continue; while (k > 1 && sgn((V[k - 1] - V[k - 2]).cross(P[i] - V[k - 2])) < 0) k--; V[k++] = P[i]; } return k; } int main() { scanf("%d", &n); for (int i = 0; i < n; ++i) { int x, y; scanf("%d%d", &x, &y); P[i].tx = x, P[i].ty = y, P[i].id = i + 1; P[i].x = 100000.0 / x, P[i].y = 100000.0 / y; } memset(vis, 0, sizeof(vis)); m = andrew(); for (int i = 0; i < m; ++i) { if (!i || sgn(V[i].y - V[i - 1].y) < 0) vis[V[i].id] = 1; } for (int i = 0; i < n; ++i) { if (i && !sgn(P[i].x - P[i - 1].x) && !sgn(P[i].y - P[i - 1].y) && vis[P[i - 1].id]) { vis[P[i].id] = 1; } } for (int i = 1; i <= n; ++i) { if (vis[i]) printf("%d ", i); } puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0; bool t = false; char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') t = true, ch = getchar(); while (ch <= '9' && ch >= '0') x = x * 10 + ch - 48, ch = getchar(); return t ? -x : x; } map<pair<int, int>, int> M; int n, top; struct Node { int x, y, id; long double xx, yy; } p[300300], S[300300]; bool operator<(Node a, Node b) { if (a.y != b.y) return a.y < b.y; return a.x > b.x; } bool cmp(Node a, Node b) { return a.id < b.id; } long double K(Node a, Node b) { return (a.xx - b.xx) / (a.yy - b.yy); } bool vis[300300]; int main() { n = read(); for (int i = 1; i <= n; ++i) p[i].x = read(), p[i].y = read(), p[i].id = i; for (int i = 1; i <= n; ++i) p[i].xx = 1e9 / p[i].x; for (int i = 1; i <= n; ++i) p[i].yy = 1e9 / p[i].y; sort(&p[1], &p[n + 1]); S[top = 1] = (Node){0, 0, 0, 0, 1e18}; for (int i = 1; i <= n; ++i) { if (p[i].y == p[i - 1].y) continue; while (top > 1 && K(p[i], S[top]) > K(S[top], S[top - 1]) + 1e-15) --top; S[++top] = p[i]; } sort(&p[1], &p[n + 1], cmp); for (int i = 1; i <= top; ++i) M[make_pair(S[i].x, S[i].y)] = 1; for (int i = 1; i <= n; ++i) if (M.find(make_pair(p[i].x, p[i].y)) != M.end()) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; const double pi = acos(0.0) * 2.0; const long double eps = 1e-10; const int step[8][2] = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}, {-1, 1}, {1, 1}, {1, -1}, {-1, -1}}; template <class T> inline T abs1(T a) { return a < 0 ? -a : a; } template <typename t, typename t1> t min1(t a, t1 b) { return a < b ? a : b; } template <typename t, typename... arg> t min1(t a, arg... arr) { return min1(a, min1(arr...)); } template <typename t, typename t1> t max1(t a, t1 b) { return a > b ? a : b; } template <typename t, typename... arg> t max1(t a, arg... arr) { return max1(a, max1(arr...)); } inline int jud(double a, double b) { if (abs(a) < eps && abs(b) < eps) return 0; else if (abs1(a - b) / abs1(a) < eps) return 0; if (a < b) return -1; return 1; } template <typename t> inline int jud(t a, t b) { if (a < b) return -1; if (a == b) return 0; return 1; } template <typename it, typename t1> inline int find(t1 val, it a, int na, bool f_small = 1, bool f_lb = 1) { int be = 0, en = na - 1; if (*a <= *(a + na - 1)) { if (f_lb == 0) while (be < en) { int mid = (be + en + 1) / 2; if (jud(*(a + mid), val) != 1) be = mid; else en = mid - 1; } else while (be < en) { int mid = (be + en) / 2; if (jud(*(a + mid), val) != -1) en = mid; else be = mid + 1; } if (f_small && jud(*(a + be), val) == 1) be--; if (!f_small && jud(*(a + be), val) == -1) be++; } else { if (f_lb) while (be < en) { int mid = (be + en + 1) / 2; if (jud(*(a + mid), val) != -1) be = mid; else en = mid - 1; } else while (be < en) { int mid = (be + en) / 2; if (jud(*(a + mid), val) != 1) en = mid; else be = mid + 1; } if (!f_small && jud(*(a + be), val) == -1) be--; if (f_small && jud(*(a + be), val) == 1) be++; } return be; } template <class T> inline T lowb(T num) { return num & (-num); } inline int bitnum(unsigned int nValue) { return __builtin_popcount(nValue); } inline int bitnum(int nValue) { return __builtin_popcount(nValue); } inline int bitnum(unsigned long long nValue) { return __builtin_popcount(nValue) + __builtin_popcount(nValue >> 32); } inline int bitnum(long long nValue) { return __builtin_popcount(nValue) + __builtin_popcount(nValue >> 32); } inline int bitmaxl(unsigned int a) { if (a == 0) return 0; return 32 - __builtin_clz(a); } inline int bitmaxl(int a) { if (a == 0) return 0; return 32 - __builtin_clz(a); } inline int bitmaxl(unsigned long long a) { int temp = a >> 32; if (temp) return 32 - __builtin_clz(temp) + 32; return bitmaxl(int(a)); } inline int bitmaxl(long long a) { int temp = a >> 32; if (temp) return 32 - __builtin_clz(temp) + 32; return bitmaxl(int(a)); } long long pow(long long n, long long m, long long mod = 0) { if (m < 0) return 0; long long ans = 1; long long k = n; while (m) { if (m & 1) { ans *= k; if (mod) ans %= mod; } k *= k; if (mod) k %= mod; m >>= 1; } return ans; } template <class t1, class t2> inline void add(t1 &a, t2 b, int mod = -1) { if (mod == -1) mod = 1000000007; a += b; while (a >= mod) a -= mod; while (a < 0) a += mod; } template <class t> void output1(t arr) { for (int i = 0; i < (int)arr.size(); i++) cerr << arr[i] << ' '; cerr << endl; } template <class t> void output2(t arr) { for (int i = 0; i < (int)arr.size(); i++) output1(arr[i]); } const int maxn = 300100; int n; pair<pair<int, int>, int> orig[maxn]; pair<double, double> p[maxn]; typename set<pair<double, double> >::iterator sit; int getjud(pair<int, int> &b, pair<int, int> &a) { if (b.first > a.first && b.second >= a.second) return 1; if (b.first >= a.first && b.second > a.second) return 1; return 0; } int main() { ios_base::sync_with_stdio(0); scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d%d", &orig[i].first.first, &orig[i].first.second); orig[i].second = i; } sort(orig, orig + n); int lst = 0; for (int i = 0; i < n; i++) { while (lst && getjud(orig[i].first, orig[lst - 1].first)) lst--; orig[lst++] = orig[i]; } for (int i = 0; i < lst; i++) p[i] = make_pair(10000.0 / orig[i].first.first, 1.0 / orig[i].first.second); set<pair<double, double> > s1, s2; for (int i = 0; i < lst; i++) { if (i == 0 || orig[i].first != orig[i - 1].first) s1.insert(p[i]); } priority_queue<pair<double, pair<double, double> >, vector<pair<double, pair<double, double> > >, greater<pair<double, pair<double, double> > > > pq; for (auto it = s1.begin(); it != s1.end(); it++) { auto it1 = it; it1++; if (it1 == s1.end()) break; pq.push( make_pair((it1->first - it->first) / (it->second - it1->second), *it1)); } s2.insert(*s1.begin()); for (; pq.size();) { pair<double, pair<double, double> > temp = pq.top(); pq.pop(); auto it = s1.find(temp.second); if (it == s1.end()) continue; if (it == s1.begin()) continue; auto rit = it; rit--; double t = (it->first - rit->first) / (rit->second - it->second); if (jud(t, temp.first) != 0) continue; if (rit == s1.begin()) { s2.insert(*it); s1.erase(rit); continue; } s1.erase(rit); rit = it; rit--; t = (it->first - rit->first) / (rit->second - it->second); pq.push(make_pair(t, *it)); } int ans[maxn], lans = 0; ; for (int i = 0; i < lst; i++) if (s2.find(p[i]) != s2.end()) { ans[lans++] = orig[i].second; } sort(ans, ans + lans); for (int i = 0; i < lans; i++) printf("%d ", ans[i] + 1); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; long long r[200002], s[200002]; int l[200002], g[200002]; int bestl[200002], bestr[200002]; int main(void) { int n; scanf("%d", &n); vector<tuple<int, int, int> > f; for (int i = 0; i < n; i++) { scanf("%lld %lld", r + i, s + i); f.emplace_back(s[i], r[i], i); } sort(f.rbegin(), f.rend()); set<pair<int, int> > ss; memset(g, -1, sizeof g); vector<int> w; int m = -1; for (int i = 0; i < n; i++) { int s, t, id; tie(s, t, id) = f[i]; if (t <= m) { if (ss.count(make_pair(s, t))) g[id] = g[get<2>(f[i - 1])]; continue; } g[id] = id; m = t; w.push_back(id); ss.insert(make_pair(s, t)); } l[w[0]] = true; l[w.back()] = true; m = w.size(); bestr[m - 1] = m - 1; for (int i = m - 2; i >= 0; i--) { int b = w[i]; int a = w[i + 1]; int c = bestr[i + 1]; bestr[i] = c; if ((r[c] - r[b]) * s[c] * r[a] * (s[b] - s[a]) < (r[a] - r[b]) * s[a] * r[c] * (s[b] - s[c])) bestr[i] = a; } bestl[0] = 0; for (int i = 1; i < m; i++) { int b = w[i]; int a = w[i - 1]; int c = bestl[i - 1]; bestl[i] = c; if ((r[c] - r[b]) * s[c] * r[a] * (s[b] - s[a]) > (r[a] - r[b]) * s[a] * r[c] * (s[b] - s[c])) bestl[i] = a; } for (int i = 1; i < int(w.size()) - 1; i++) { int b = w[i]; int a = bestl[i]; int c = bestr[i]; if ((r[c] - r[b]) * s[c] * r[a] * (s[a] - s[b]) <= (r[b] - r[a]) * s[a] * r[c] * (s[b] - s[c])) { l[b] = true; } } vector<int> v; for (int i = 0; i < n; i++) if (g[i] != -1 and l[g[i]]) v.push_back(i + 1); for (auto a : v) cout << a << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 200010; const double INF = 1e15; const double EPS = 1e-16; int sig(double x) { return (x < -EPS) ? -1 : (x > EPS) ? 1 : 0; } struct Point { double x, y; int id; Point(double x = 0, double y = 0) : x(x), y(y) { id = 0; } }; Point operator+(const Point a, const Point b) { return Point(a.x + b.x, a.y + b.y); } Point operator-(const Point a, const Point b) { return Point(a.x - b.x, a.y - b.y); } double operator*(const Point a, const Point b) { return a.x * b.y - a.y * b.x; } double operator^(const Point a, const Point b) { return a.x * b.x + a.y * b.y; } Point operator*(const Point a, const double x) { return Point(a.x * x, a.y * x); } Point operator/(const Point a, const double x) { return Point(a.x / x, a.y / x); } double cross(const Point &a, const Point &b) { return (a.x * b.y - a.y * b.x); } double dot(const Point &a, const Point &b) { return (a.x * b.x + a.y * b.y); } double dis2(Point a, Point b) { return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y); } bool operator==(const Point a, const Point b) { return (fabs(a.x - b.x) < EPS && fabs(a.y - b.y) < EPS); } bool operator<(const Point a, const Point b) { return a.x < b.x || (fabs(a.x - b.x) < EPS && a.y < b.y); } int N; Point p[maxN], stk[maxN]; int pos[maxN]; bool ans[maxN]; int cnt; bool check(double x) { return x < 0 || fabs(x) < EPS; } int MakeHull(Point *ps, int n) { int cnt; sort(ps, ps + n); cnt = 0; for (int i = 0; i < n; i++) { if (i > 0 && ps[i] == ps[i - 1]) { pos[i] = pos[i - 1]; continue; } pos[i] = i; while (cnt > 1 && check(cross(stk[cnt - 1] - stk[cnt - 2], ps[i] - stk[cnt - 2])) == true) cnt--; stk[cnt++] = ps[i]; } int k = cnt; for (int i = n - 2; i >= 0; i--) { while (cnt > k && check(cross(stk[cnt - 1] - stk[cnt - 2], ps[i] - stk[cnt - 2])) == true) cnt--; stk[cnt++] = ps[i]; } if (n > 1) cnt--; return cnt; } int main() { double s, r; double minix = INF; double miniy = INF; scanf("%d", &N); for (int i = 0; i < N; i++) { scanf("%lf%lf", &s, &r); p[i].x = 1000000 / s; p[i].y = 1000000 / r; p[i].id = i; miniy = min(miniy, p[i].y); minix = min(minix, p[i].x); } int tot = MakeHull(p, N); for (int i = 0; i < tot; i++) { ans[stk[i].id] = true; if (fabs(stk[i].y - miniy) < EPS) break; } for (int i = 0; i < N; i++) { if (ans[p[pos[i]].id] == true) ans[p[i].id] = true; } for (int i = 0; i < N; i++) if (ans[i] == true) printf("%d ", i + 1); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MaxN(300003); int a[MaxN], b[MaxN], S[MaxN], top; map<pair<int, int>, int> F; struct node { double x, y; inline bool operator<(const node &T) const { return x == T.x ? y < T.y : x < T.x; } } p[MaxN]; double cross(const node &p1, const node &p2) { return (p1.x * p2.x * (p2.y - p1.y)) / (p1.y * p2.y * (p2.x - p1.x)); } int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &a[i], &b[i]); p[i].x = a[i], p[i].y = b[i]; } sort(p + 1, p + 1 + n); for (int i = 1; i <= n; i++) { if (p[i].x == p[i + 1].x) continue; while (top > 1 && cross(p[S[top - 1]], p[S[top]]) < cross(p[S[top - 1]], p[i])) --top; S[++top] = i; } for (int i = 1; i <= top; i++) if (i == top || cross(p[S[i]], p[S[i + 1]]) < 0) F[pair<int, int>(p[S[i]].x, p[S[i]].y)] = 1; for (int i = 1; i <= n; i++) if (F.count(pair<int, int>(a[i], b[i]))) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200000 + 10; int n; int r[N], s[N]; pair<long long, long long> a[N]; pair<long long, long long> b[N]; void solve() { cin >> n; for (int i = 0; i < n; ++i) { int x, y; scanf("%d%d", &x, &y); r[i] = y; s[i] = x; a[i] = make_pair(y, x); } sort(a, a + n); int mv = -1; int m = 0; for (int i = n - 1; i >= 0; --i) { if (a[i].second <= mv) { continue; } mv = a[i].second; b[m++] = a[i]; } reverse(b, b + m); vector<pair<long long, long long> > st; for (int i = 0; i < m; ++i) { pair<long long, long long> u, v, w; w = b[i]; for (; st.size() > 1;) { v = st.back(); u = st[st.size() - 2]; if ((v.first - u.first) * u.second * w.first * (v.second - w.second) < (w.first - v.first) * w.second * u.first * (u.second - v.second)) { st.pop_back(); } else { break; } } st.push_back(w); } set<pair<long long, long long> > ss; for (int i = 0; i < st.size(); ++i) { ss.insert(make_pair(st[i].first, st[i].second)); } for (int i = 0; i < n; ++i) { if (ss.count(make_pair(r[i], s[i]))) { printf("%d ", i + 1); } } } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; struct Member { int s; int r; int id; }; Member arr[2 * 100000]; int main(int argc, char** argv) { cout.sync_with_stdio(false); cin.sync_with_stdio(false); istream* pinp; { pinp = &cin; } istream& icp = *pinp; int i, j = 0; int num; icp >> num; i = num; while (i--) { icp >> arr[j].s; icp >> arr[j].r; arr[j].id = j + 1; j++; } std::sort(begin(arr), begin(arr) + num, [](Member& a, Member& b) { return a.r > b.r; }); int start = 0; int maxS = -1; int maxSIdx; int localMax = -1; int localIdx; list<int> nums; for (int k = 0; k < num; k++) { if (arr[k].s > localMax) { localMax = arr[k].s; localIdx = k; } if (k == num - 1 || arr[k + 1].r != arr[k].r) { if (localMax > maxS) { while (nums.size() >= 2) { auto it = nums.rbegin(); Member* m2 = &arr[*it]; Member* m1 = &arr[*(++it)]; while (m1->r == m2->r) { auto next = ++it; if (next == nums.rend()) break; m1 = &arr[*next]; } if (m1->r == m2->r) break; Member* m3 = &arr[localIdx]; double rs32 = (double(m3->r) * m2->r * (double(m3->s) - double(m2->s))) / (double(m3->s) * m2->s * (double(m2->r) - double(m3->r))); double rs21 = (double(m1->r) * m2->r * (double(m2->s) - double(m1->s))) / (double(m1->s) * m2->s * (double(m1->r) - double(m2->r))); if (rs21 < rs32) { while (arr[nums.back()].r == m2->r) nums.pop_back(); } else { break; } } for (int s = start; s <= k; s++) { if (arr[s].s == localMax) { nums.push_back(s); } } maxS = localMax; maxSIdx = localIdx; } localMax = -1; start = k + 1; } } vector<pair<int, int>> res; for (auto it : nums) { res.push_back({it, arr[it].id}); } std::sort(begin(res), end(res), [](pair<int, int>& a, pair<int, int>& b) { return a.second < b.second; }); bool test = false; for (auto m : res) { if (!test) cout << m.second << " "; else cout << arr[m.first].id << " " << arr[m.first].r << " " << arr[m.first].s << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; int ans[200200]; struct point { int x, y, id; point(int x = 0, int y = 0, int id = 0) : x(x), y(y), id(id) {} inline int operator*(point a) { return x * a.x + y * a.y; } inline int operator^(point a) { return x * a.y - y * a.x; } inline point operator+(point a) { return point(x + a.x, y + a.y, id); } inline point operator-(point a) { return point(x - a.x, y - a.y, id); } inline bool operator<(const point &a) const { return x != a.x ? x < a.x : y < a.y; } inline bool operator>(const point &a) const { return x != a.x ? x > a.x : y > a.y; } }; point a[200200], h[200200], aa[200200]; int M; bool multi(point a, point b, point c) { return 1LL * (b.x - a.x) * (b.y - c.y) * a.y * c.x < 1LL * (c.x - b.x) * (a.y - b.y) * a.x * c.y; } void make_conv(int n) { if (n == 1) { M = 2; h[1] = aa[1]; return; } h[1] = aa[1]; h[2] = aa[2]; M = 3; for (int i = 3; i <= n; i++) { while (M > 2 and multi(h[M - 2], h[M - 1], aa[i])) M--; h[M++] = aa[i]; } } int main() { int n; scanf("%d", &n); int mx = 0; int mm = 0; for (int i = 1; i <= n; i++) { scanf("%d%d", &a[i].x, &a[i].y); a[i].id = i; } sort(a + 1, a + n + 1); int ga = 1; aa[1] = a[n]; int yy = a[n].y, xx = a[n].x; for (int i = n - 1; i >= 1; i--) { if (a[i].x < xx and a[i].y > yy) { aa[++ga] = a[i]; xx = a[i].x; yy = a[i].y; } } reverse(aa + 1, aa + ga + 1); make_conv(ga); int an = 0; int j = 1; for (int i = 1; i < M; i++) { bool fl = 0; for (j; j <= n; j++) { if (a[j].x == h[i].x and a[j].y == h[i].y) ans[++an] = a[j].id, fl = 1; else if (fl) break; } } sort(ans + 1, ans + an + 1); for (int i = 1; i <= an; i++) cout << ans[i] << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 4e5 + 10; struct Point { int id; int c; double x, y; Point(double x = 0, double y = 0, int c = 0, int id = 0) : x(x), y(y), c(c), id(id) {} }; const double EPS = 1e-8; Point operator+(Point A, Point B) { return Point(A.x + B.x, A.y + B.y); } Point operator-(Point A, Point B) { return Point(A.x - B.x, A.y - B.y); } Point operator*(Point A, double p) { return Point(A.x * p, A.y * p); } Point operator/(Point A, double p) { return Point(A.x / p, A.y / p); } bool operator<(const Point& a, const Point& b) { return a.x < b.x || (a.x == b.x && a.y < b.y); } int Sgn(long double x) { if (fabs(x) < EPS) return 0; else return x < 0 ? -1 : 1; } bool operator==(const Point& a, const Point& b) { return Sgn(a.x - b.x) == 0 && Sgn(a.y - b.y) == 0; } long double Cross(Point A, Point B) { return (long double)A.x * B.y - A.y * B.x; } vector<int> v[N]; int ConvexHull(Point* p, int n, Point* ch) { sort(p, p + n); int m = 0; for (int i = 0; i < n; i++) { p[m++] = p[i]; if (Sgn(p[i + 1].x - p[i].x) == 0) { int j = i + 1; for (j = i + 1; j < n; j++) { if (Sgn(p[j].x - p[i].x) != 0) { i = j - 1; break; } else if (Sgn(p[j].y - p[i].y) == 0) { v[p[i].id].push_back(p[j].id); } } if (j == n) i = n; } } m = 0; for (int i = 0; i < n; i++) { while (m > 1 && (Cross(ch[m - 1] - ch[m - 2], p[i] - ch[m - 2])) < 0) m--; ch[m++] = p[i]; } return m; } int n, ans[N]; Point p[N], ch[N]; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0, x, y; i < n; i++) { cin >> x >> y; p[i].id = i + 1; p[i].x = 1.0 / x; p[i].y = 1.0 / y; } n = ConvexHull(p, n, ch); for (int i = 0; i < n; i++) p[i] = ch[i]; int i; ans[p[0].id] = 1; for (int id : v[p[0].id]) ans[id] = 1; for (i = 1; i < n; i++) { if (Sgn((p[i].y - p[i - 1].y) / (p[i].x - p[i - 1].x)) < 0) { ans[p[i].id] = 1; for (int id : v[p[i].id]) ans[id] = 1; } else break; } for (int i = 1; i < N; i++) { if (ans[i]) cout << i << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1000000007; struct pt { double x, y; }; bool cmp(pt a, pt b) { return a.x < b.x || a.x == b.x && a.y < b.y; } bool cw(pt a, pt b, pt c) { return a.x * (b.y - c.y) + b.x * (c.y - a.y) + c.x * (a.y - b.y) < 0; } bool ccw(pt a, pt b, pt c) { return a.x * (b.y - c.y) + b.x * (c.y - a.y) + c.x * (a.y - b.y) > 0; } void convex_hull(vector<pt>& a) { if (a.size() == 1) return; sort(a.begin(), a.end(), &cmp); pt p1 = a[0], p2 = a.back(); vector<pt> up, down; up.push_back(p1); down.push_back(p1); for (size_t i = 1; i < a.size(); ++i) { if (i == a.size() - 1 || cw(p1, a[i], p2)) { while (up.size() >= 2 && !cw(up[up.size() - 2], up[up.size() - 1], a[i])) up.pop_back(); up.push_back(a[i]); } if (i == a.size() - 1 || ccw(p1, a[i], p2)) { while (down.size() >= 2 && !ccw(down[down.size() - 2], down[down.size() - 1], a[i])) down.pop_back(); down.push_back(a[i]); } } a.clear(); for (size_t i = 0; i < up.size(); ++i) a.push_back(up[i]); for (size_t i = down.size() - 2; i > 0; --i) a.push_back(down[i]); } int main() { int n; cin >> n; vector<pt> ch; std::vector<std::pair<int, int> > pl; map<std::pair<int, int>, int> ans; int x, y; for (int i = 0; i < n; i++) { cin >> x >> y; pl.push_back(make_pair(x, y)); pt a; a.x = 1. / (double)(x); a.y = 1. / (double)(y); ch.push_back(a); } convex_hull(ch); for (int i = 0; i < ch.size(); i++) { } int l = ch.size(); double minx = 10; int indx, indy; double miny = 10; for (int i = 0; i < l; i++) { if (ch[i].x < minx) { minx = ch[i].x; indx = i; } if (ch[i].y < miny) { miny = ch[i].y; indy = i; } } int t = 0; while ((abs((ch[indy].y) - ch[(indy + 1) % l].y) < 0.000000001) && (t < 2 * l)) { t++; indy = (indy + 1) % l; } t = 0; while ((abs((ch[indx].x) - ch[(indx + l - 1) % l].x) < 0.000000001) && (t < 2 * l)) { t++; indx = (indx + l - 1) % l; } int ind = indy; ans[make_pair((int)(1. / ch[ind].x + 0.2), (int)(1. / ch[ind].y + 0.2))] = 1; while (ind != indx) { ind = (ind + 1) % l; ans[make_pair((int)(1. / ch[ind].x + 0.2), (int)(1. / ch[ind].y + 0.2))] = 1; } for (int i = 0; i < n; i++) { if (ans[pl[i]] == 1) cout << (i + 1) << " "; } }
#include <bits/stdc++.h> using namespace std; const int N = 200005; int r[N], s[N], srt[N], mark[N]; vector<int> a; int g[N]; int FIND(int x) { return g[x] == x ? g[x] : g[x] = FIND(g[x]); } void UNION(int x, int y) { g[FIND(x)] = FIND(y); } bool cmp(int x, int y) { if (r[x] != r[y]) return r[x] > r[y]; return s[x] > s[y]; } bool leftTurn(int i, int j, int k) { return 1LL * (r[j] - r[k]) * (s[i] - s[j]) * r[i] * s[k] > 1LL * (s[j] - s[k]) * (r[i] - r[j]) * s[i] * r[k]; } int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d%d", &r[i], &s[i]); for (int i = 0; i < n; i++) srt[i] = g[i] = i; sort(srt, srt + n, cmp); for (int i = 0; i < n; i++) { if (i && r[srt[i]] == r[srt[i - 1]] && s[srt[i]] == s[srt[i - 1]]) { UNION(srt[i], srt[i - 1]); continue; } while (a.size() >= 2 && leftTurn(a[a.size() - 2], a[a.size() - 1], srt[i])) a.pop_back(); a.push_back(srt[i]); } while (a.size() >= 2 && r[a[a.size() - 2]] >= r[a[a.size() - 1]] && s[a[a.size() - 2]] >= s[a[a.size() - 1]]) a.pop_back(); for (auto &&x : a) mark[FIND(x)] = 1; for (int i = 0; i < n; i++) if (mark[FIND(i)] == 1) printf("%d ", i + 1); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 100; map<pair<int, int>, vector<int> > mp; const long double eps = 1e-22; struct point { int X, Y; long double first, second; point() { X = Y = first = second = .0; } point(long double a, long double b) { first = a, second = b; } inline void init(int a, int b) { X = a, Y = b; first = 1.0 / X; second = 1.0 / Y; } inline long double operator*(point p) { return first * p.second - second * p.first; } inline point operator-(point p) { return point(first - p.first, second - p.second); } inline long double dis(point p) { return (((first - p.first) * (first - p.first))) + (((second - p.second) * (second - p.second))); } inline pair<int, int> PII() { return pair<int, int>(X, Y); } }; point o; point l; inline bool ocmp(const point &a, const point &b) { return make_pair(a.second, a.first) < make_pair(b.second, b.first); } inline bool lcmp(const point &a, const point &b) { return make_pair(a.first, a.second) < make_pair(b.first, b.second); } inline bool scmp(const point &a, const point &b) { long double cross = ((point)a - o) * ((point)b - o); if (fabs(cross) <= eps) return o.dis(a) < o.dis(b); return cross < eps; } vector<point> v; vector<point> hull; int n; int main() { ios_base::sync_with_stdio(false); cin >> n; for (int(i) = (0); (i) < (n); ++(i)) { int a, b; cin >> a >> b; mp[{a, b}].push_back(i + 1); } if (mp.size() == 1) { for (int(i) = (1); (i) < (n + 1); ++(i)) cout << i << ' '; cout << endl; return 0; } for (__typeof((mp).begin()) q = (mp).begin(); q != (mp).end(); ++q) { pair<int, int> p = q->first; int first = p.first, second = p.second; point P; P.init(first, second); v.push_back(P); } o = *min_element(v.begin(), v.end(), ocmp); l = *min_element(v.begin(), v.end(), lcmp); if (o.PII() == l.PII()) { for (auto &(a) : (mp[o.PII()])) cout << a << ' '; cout << endl; return 0; } sort(v.begin(), v.end(), scmp); int po = 2; for (int(i) = (0); (i) < (2); ++(i)) hull.push_back(v[i]); vector<int> ans; while (po < v.size() && hull.back().PII() != l.PII()) { while (hull.size() > 1 && (hull[hull.size() - 1] - hull[hull.size() - 2]) * (v[po] - hull[hull.size() - 2]) > eps) hull.pop_back(); hull.push_back(v[po++]); } for (auto &(p) : (hull)) for (auto &(a) : (mp[p.PII()])) ans.push_back(a); sort(ans.begin(), ans.end()); for (auto &(a) : (ans)) cout << a << ' '; cout << endl; }
#include <bits/stdc++.h> using namespace std; struct info { int s, r, id; info(int s = 0, int r = 0, int id = 0) : s(s), r(r), id(id) {} bool operator<(const info& b) const { if (s != b.s) return s < b.s; return r > b.r; } }; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } long long myabs(long long x) { return x > 0 ? x : -x; } struct fract { long long n, d; fract(long long num = 0, long long den = 1) { assert(0 < den && den < 100000000000000000LL); long long g = gcd(myabs(num), myabs(den)); n = num / g; d = den / g; } fract operator+(const fract& b) const { return fract(n * b.d + d * b.n, d * b.d); } fract operator-(const fract& b) const { return fract(n * b.d - d * b.n, d * b.d); } fract operator*(const fract& b) const { return fract(n * b.n, d * b.d); } }; struct point { fract x, y; point(fract x = 0, fract y = 0) : x(x), y(y) {} point operator+(const point& b) const { return point(x + b.x, y + b.y); } point operator-(const point& b) const { return point(x - b.x, y - b.y); } fract cross(const point& b) const { return x * b.y - y * b.x; } }; bool isConvex(int r1, int s1, int r2, int s2, int r3, int s3) { point A(fract(r2 - r1, r2), fract(s2 - s1, s2)); point B(fract(r3 - r1, r3), fract(s3 - s1, s3)); return (A.cross(B).n >= 0); } bool isPositive(int r1, int s1, int r2, int s2) { assert(s2 > s1); return (r2 - r1) * (s2 - s1) < 0; } int main() { int n; scanf("%d", &n); vector<info> runner(n); map<pair<int, int>, vector<int> > id; for (int i = 0; i < (n); i++) { scanf("%d%d", &runner[i].s, &runner[i].r); runner[i].id = i + 1; id[make_pair(runner[i].s, runner[i].r)].push_back(i + 1); } sort(runner.begin(), runner.end()); vector<info> v; for (int i = 0; i < (n); i++) { if (i == 0 || runner[i - 1].s != runner[i].s) v.push_back(runner[i]); } runner = v; n = v.size(); for (int i = 0; i < (n); i++) swap(runner[i].s, runner[i].r); sort(runner.begin(), runner.end()); v.clear(); for (int i = 0; i < (n); i++) { if (i == 0 || runner[i - 1].s != runner[i].s) v.push_back(runner[i]); } for (int i = 0; i < (n); i++) swap(runner[i].s, runner[i].r); sort(runner.begin(), runner.end()); vector<info> st; for (int i = 0; i < (v.size()); i++) { info cur = v[i]; int k = st.size(); while (k >= 2 && !isConvex(st[k - 2].r, st[k - 2].s, st[k - 1].r, st[k - 1].s, cur.r, cur.s)) { st.pop_back(); k = st.size(); } while (k >= 1 && !isPositive(st[k - 1].r, st[k - 1].s, cur.r, cur.s)) { st.pop_back(); k = st.size(); } st.push_back(cur); } vector<int> res; for (int i = 0; i < (st.size()); i++) { vector<int>& cv = id[make_pair(st[i].r, st[i].s)]; for (vector<int>::iterator it = cv.begin(); it != cv.end(); it++) res.push_back(*it); } sort(res.begin(), res.end()); for (int i = 0; i < (res.size()); i++) printf("%d ", res[i]); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; long long powmod(long long a, long long b) { long long res = 1; a %= 1000000007; for (; b; b >>= 1) { if (b & 1) res = res * a % 1000000007; a = a * a % 1000000007; } return res; } long long gcd(long long x, long long y) { while (y) { long long t = x % y; x = y; y = t; } return x; } long long inv(long long x) { return powmod(x, 1000000007 - 2); } template <typename T> inline bool chkmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; } template <typename T> inline bool chkmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; } int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } int n, m, P; struct point { int x, y, id; bool operator<(const point &p) const { return make_pair(x, y) > make_pair(p.x, p.y); } } p[401000], s[401000]; int top; set<pair<int, int> > res; pair<int, int> b[401000]; map<int, int> mp; bool cross(point a, point b, point c) { return 1LL * b.y * c.x * (a.x - b.x) * (a.y - c.y) < 1LL * c.y * b.x * (a.y - b.y) * (a.x - c.x); } void solve() { scanf("%d", &n), m = n; int top = 0; for (int i = 0; i < n; i++) { p[i].x = read(), p[i].y = read(); p[i].id = i + 1; b[i] = make_pair(p[i].x, p[i].y); } sort(p, p + n); for (int i = 0; i < n; i++) { if (!top || p[i].y > s[top - 1].y) s[top++] = p[i]; } for (int i = 0; i < top; i++) p[i] = s[i]; n = top, top = 0; for (int i = 0; i < n; i++) { while (top > 1 && cross(s[top - 2], s[top - 1], p[i])) top--; s[top++] = p[i]; } for (int i = 0; i < top; i++) mp[s[i].x * 10000 + s[i].y] = 1; for (int i = 0; i < m; i++) if (mp[b[i].first * 10000 + b[i].second]) printf("%d ", i + 1); } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200011; struct Point { int x, y; Point() {} Point(int x, int y) : x(x), y(y) {} Point operator-(const Point &rhs) const { return Point(x - rhs.x, y - rhs.y); } bool operator<(const Point &rhs) const { return x > rhs.x || (x == rhs.x && y < rhs.y); } bool operator==(const Point &rhs) const { return x == rhs.x && y == rhs.y; } int cross(const Point &rhs) const { return x * rhs.y - y * rhs.x; } } p[N], old[N]; Point s[N]; long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long cross(Point a, Point b, Point c) { return (long long)(a.x - b.x) * (b.y - c.y) * c.x * a.y - (long long)(b.x - c.x) * (a.y - b.y) * a.x * c.y; } int main() { ios ::sync_with_stdio(false); int n; cin >> n; for (int i = 0; i < n; i++) { cin >> p[i].x >> p[i].y; old[i].x = p[i].x; old[i].y = p[i].y; } sort(p, p + n); int top = 0; for (int i = 0; i < n; i++) { if (i != 0 && p[i] == p[i - 1]) continue; if (top > 0 && p[i].y <= s[top - 1].y) continue; while ((top >= 1 && p[i].x == s[top - 1].x && p[i].y > s[top - 1].y) || (top >= 2 && cross(s[top - 2], s[top - 1], p[i]) < 0)) top--; s[top++] = p[i]; } set<Point> st; for (int i = 0; i < top; i++) st.insert(s[i]); for (int i = 0; i < n; i++) if (st.find(old[i]) != st.end()) cout << i + 1 << ' '; cout << '\n'; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx") using namespace std; struct R { R() : first(0), second(0) {} R(long long _x, long long _y) : first(_x), second(_y) {} long long first, second; }; inline R operator+(const R& a, const R& b) { return R({a.first * b.second + b.first * a.second, a.second * b.second}); } inline R operator-(const R& a, const R& b) { auto ans = R({a.first * b.second - b.first * a.second, a.second * b.second}); if (ans.second < 0) { ans.first = -ans.first; ans.second = -ans.second; } return ans; } inline R operator*(const R& a, const R& b) { return R({a.first * b.first, a.second * b.second}); } inline bool operator<(const R& a, const R& b) { return (a - b).first < 0; } inline bool operator==(const R& a, const R& b) { return a.first == b.first && a.second == b.second; } template <class T> pair<T, T> operator-(const pair<T, T>& a, const pair<T, T>& b) { return make_pair(a.first - b.first, a.second - b.second); } template <class T> T vec(const pair<T, T>& a, const pair<T, T>& b) { return a.first * b.second - b.first * a.second; } template <class T> T vec(const pair<pair<T, T>, int>& a, const pair<pair<T, T>, int>& b) { return vec(a.first, b.first); } inline long long gcd(long long a, long long b) { for (; b; swap(a, b)) a %= b; return a; } inline long long aaa(long long a) { if (a < 0) return -a; else return a; } inline R neg(const R& a) { return R(-a.first, a.second); } inline R sw(const R& a) { return R(a.second, a.first); } bool cmp(R p1, R p2) { long long d1 = p1.first / p1.second; long long d2 = p2.first / p2.second; if (d1 != d2) return d1 < d2; p1.first %= p1.second; p2.first %= p2.second; if (!p1.first && !p2.first) return 0; if (!p1.first) return 1; if (!p1.second) return 0; bool ans = cmp(sw(p2), sw(p1)); return ans; } inline bool bad(pair<R, R> a, pair<R, R> b) { auto p1 = a.first * b.second; auto p2 = b.first * a.second; if (p1.first < 0 && p2.first > 0) return 1; if (p1.first > 0 && p2.first < 0) return 0; long long g1 = gcd(aaa(p1.first), aaa(p1.second)); long long g2 = gcd(aaa(p2.first), aaa(p2.second)); if (p1.first / g1 == p2.first / g2 && p1.second / g1 == p2.second / g2) return 0; if (p1.first < 0 && p2.first < 0) return cmp(neg(p2), neg(p1)); else return cmp(p1, p2); } int a, b, c, d, n, m, k; pair<pair<int, int>, int> mas[200002]; int fen[200002]; inline void upd(int first, int val) { for (; first >= 0; first = (first & (first + 1)) - 1) fen[first] += val; } inline int fnd(int first) { int ans = 0; for (; first <= 200000; first |= first + 1) ans += fen[first]; return ans; } int main() { scanf("%d", &n); vector<int> ny; for (int _n((n)-1), i(0); i <= _n; i++) { scanf("%d%d", &mas[i].first.first, &mas[i].first.second); mas[i].second = i; ny.push_back(mas[i].first.second); } sort((ny).begin(), (ny).end()); ny.resize(unique((ny).begin(), (ny).end()) - ny.begin()); sort(mas, mas + n); vector<pair<int, int>> cool; for (int i = (n - 1), _b = (0); i >= _b; i--) { if (i != n - 1 && mas[i + 1].first == mas[i].first) continue; int t = lower_bound((ny).begin(), (ny).end(), mas[i].first.second) - ny.begin(); if (!fnd(t)) cool.push_back(mas[i].first); upd(t, 1); } vector<pair<R, R>> pnt; for (int _n(((int)((cool).size())) - 1), i(0); i <= _n; i++) { R first({1LL, (long long)cool[i].first}); R second({1LL, (long long)cool[i].second}); auto t = make_pair(first, second); pnt.push_back(t); } sort((pnt).begin(), (pnt).end()); vector<pair<R, R>> hull; for (int _n(((int)((pnt).size())) - 1), i(0); i <= _n; i++) { if (i && pnt[i - 1].first == pnt[i].first) continue; auto t = pnt[i]; while (hull.size() > 1 && bad(hull.back() - hull[(int)((hull).size()) - 2], t - hull[(int)((hull).size()) - 2])) hull.pop_back(); hull.push_back(t); } sort((hull).begin(), (hull).end()); vector<int> res; for (int _n((n)-1), i(0); i <= _n; i++) { R first({1LL, (long long)mas[i].first.first}); R second({1LL, (long long)mas[i].first.second}); auto t = make_pair(first, second); if (binary_search((hull).begin(), (hull).end(), t)) { res.push_back(mas[i].second); } } sort((res).begin(), (res).end()); for (int _n(((int)((res).size())) - 1), i(0); i <= _n; i++) { if (i) printf(" "); printf("%d", res[i] + 1); } printf("\n"); }
#include <bits/stdc++.h> using namespace std; const int N = 3e5 + 10; double INF = 1000000000000.0; struct node { int a, b, id; } p[N]; int v[N], jd[N]; bool cmp(node a, node b) { return a.a == b.a ? (a.b > b.b) : a.a > b.a; } int top, sta1[N], top1; int sta[N]; double calk(int x, int y) { return (1.0 * p[x].a * p[y].a * (p[y].b - p[x].b)) / (1.0 * p[x].b * p[y].b * (p[y].a - p[x].a)); } int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d%d", &p[i].a, &p[i].b); for (int i = 1; i <= n; ++i) p[i].id = i; sort(p + 1, p + n + 1, cmp); int mn = p[1].b; for (int i = 2; i <= n; ++i) { if (p[i].b <= mn) v[i] = 1; else mn = p[i].b; } sta[++top] = 1; for (int i = 1; i <= n; ++i) { if (v[i]) continue; while (top > 1 && calk(sta[top], sta[top - 1]) > calk(i, sta[top])) { top--; } sta[++top] = i; } for (int i = 1; i <= top; ++i) { if (jd[p[sta[i]].id]) continue; jd[p[sta[i]].id] = 1; for (int j = sta[i] + 1; j <= n && p[j].a == p[sta[i]].a && p[j].b == p[sta[i]].b; ++j) jd[p[j].id] = 1; } for (int i = 1; i <= n; ++i) if (jd[i]) printf("%d ", i); }
#include <bits/stdc++.h> using namespace std; struct point { long x, y, rk, lx, ly, rx, ry; } a[300006]; long n; set<long> ans; vector<point> stk; bool cmp1(point a, point b) { return (a.x < b.x || (a.x == b.x && a.y < b.y)); } bool cmp2(point a, point b) { return (a.rk > b.rk); } int mult(unsigned long long x1, unsigned long long y1, unsigned long long x2, unsigned long long y2, unsigned long long x3, unsigned long long y3) { unsigned long long tmp1, tmp2; tmp1 = x3 * y2 * (x1 - x2) * (y1 - y3); tmp2 = x2 * y3 * (x1 - x3) * (y1 - y2); if (tmp1 > tmp2) return 1; if (tmp1 == tmp2) return 0; return -1; } int main() { long i, j, bj1, bj2, l, r; scanf("%ld", &n); for (i = 1; i <= n; ++i) { scanf("%ld %ld", &a[i].x, &a[i].y); a[i].rk = i; } sort(a + 1, a + 1 + n, cmp1); bj1 = a[n].x; bj2 = a[n].y; for (i = n - 1; i; --i) { if (a[i].y <= bj2 && !(a[i].x == bj1 && a[i].y == bj2)) a[i].rk = 0; else { bj1 = a[i].x; bj2 = a[i].y; } } sort(a + 1, a + 1 + n, cmp2); while (!a[n].rk) --n; sort(a + 1, a + 1 + n, cmp1); ans.clear(); l = 1; while (l <= n && a[l].x == a[1].x && a[l].y == a[1].y) { ans.insert(a[l].rk); ++l; } r = n; while (r && a[r].x == a[n].x && a[r].y == a[n].y) { ans.insert(a[r].rk); --r; } if (n > 2) { a[l].lx = a[1].x; a[l].ly = a[1].y; stk.clear(); stk.push_back(a[1]); stk.push_back(a[l]); for (i = l + 1; i <= r; ++i) { while (!stk.empty() && stk[stk.size() - 1].x == a[i].x && stk[stk.size() - 1].y == a[i].y) stk.pop_back(); while (stk.size() > 1) { if (mult(stk[stk.size() - 2].x, stk[stk.size() - 2].y, stk[stk.size() - 1].x, stk[stk.size() - 1].y, a[i].x, a[i].y) > 0) stk.pop_back(); else break; } a[i].lx = stk[stk.size() - 1].x; a[i].ly = stk[stk.size() - 1].y; stk.push_back(a[i]); } a[r].rx = a[n].x; a[r].ry = a[n].y; stk.clear(); stk.push_back(a[n]); stk.push_back(a[r]); for (i = r - 1; i >= l; --i) { while (!stk.empty() && stk[stk.size() - 1].x == a[i].x && stk[stk.size() - 1].y == a[i].y) stk.pop_back(); while (stk.size() > 1) { if (mult(stk[stk.size() - 2].x, stk[stk.size() - 2].y, stk[stk.size() - 1].x, stk[stk.size() - 1].y, a[i].x, a[i].y) < 0) stk.pop_back(); else break; } a[i].rx = stk[stk.size() - 1].x; a[i].ry = stk[stk.size() - 1].y; stk.push_back(a[i]); } for (i = 2; i < n; ++i) if (mult(a[i].lx, a[i].ly, a[i].x, a[i].y, a[i].rx, a[i].ry) <= 0) ans.insert(a[i].rk); } set<long>::iterator ia; for (ia = ans.begin(); ia != ans.end(); ++ia) printf("%ld ", *ia); return 0; }
#include <bits/stdc++.h> using namespace std; int n, tot = 1; struct data { int x, y, num; } a[200005], b[200005]; int s[200005]; int ans[200005]; bool cmp(data p, data q) { if (p.x == q.x) return p.y < q.y; return p.x < q.x; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { a[i].num = i; scanf("%d%d", &a[i].x, &a[i].y); } sort(a + 1, a + n + 1, cmp); int xk = a[n].x, yk = a[n].y; b[1] = a[n]; for (int i = n - 1; i >= 1; i--) { if (a[i].y < yk) continue; if (a[i].y == yk && a[i].x != xk) continue; yk = a[i].y; xk = a[i].x; tot++; b[tot] = a[i]; } bool judge = 1; for (int i = 2; i <= tot; i++) if (b[i].x != b[i - 1].x) { judge = 0; break; } if (judge) { for (int i = 1; i <= tot; i++) ans[i] = b[i].num; sort(ans + 1, ans + tot + 1); for (int i = 1; i <= tot; i++) printf("%d ", ans[i]); return 0; } int head = 0; for (int i = 1; i <= tot; i++) { if (b[i].x == b[i - 1].x) continue; if (head < 2) { head++; s[head] = i; continue; } while (1) { if (head == 1) break; int x = b[i].x, y = b[i].y, x1 = b[s[head]].x, y1 = b[s[head]].y; int x2 = b[s[head - 1]].x, y2 = b[s[head - 1]].y; long long now1 = x1 * y1 - x1 * y2 - x * y1 + x * y2; now1 *= x2 * y; long long now2 = x2 * y - x1 * y - x2 * y1 + x1 * y1; now2 *= x * y2; if (now1 >= now2) break; head--; } head++; s[head] = i; } int totans = 0; for (int i = 1; i <= head; i++) { int j = s[i]; while (b[j].x == b[s[i]].x) { ans[++totans] = b[j].num; j++; } } sort(ans + 1, ans + totans + 1); for (int i = 1; i <= totans; i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const long double eps = 1e-7, mul = 1e5; const int maxn = 200000 + 10; int dcmp(long double x) { if (fabsl(x) < eps) return 0; return x > 0 ? 1 : -1; } struct pt { long double x, y; bool operator<(const pt &rhs) const { if (!dcmp(x - rhs.x)) return y < rhs.y; return x < rhs.x; } }; pt operator+(const pt &a, const pt &b) { return (pt){a.x + b.x, a.y + b.y}; } pt operator-(const pt &a, const pt &b) { return (pt){a.x - b.x, a.y - b.y}; } pt operator*(const pt &a, const long double &d) { return (pt){d * a.x, d * a.y}; } bool operator==(const pt &a, const pt &b) { return !dcmp(a.x - b.x) && !dcmp(a.y - b.y); } long double dot(const pt &a, const pt &b) { return a.x * b.x + a.y * b.y; } long double cross(const pt &a, const pt &b) { return a.x * b.y - a.y * b.x; } long double cross(const pt &a, const pt &b, const pt &c) { return cross(b - a, c - a); } pt st[maxn]; void convex_hull(vector<pt> &v, vector<pt> &p) { p.clear(); sort(v.begin(), v.end()); v.resize(unique(v.begin(), v.end()) - v.begin()); int n = v.size(); int sz = 0; for (int i = 0; i < n; i++) { while (sz >= 2 && dcmp(cross(st[sz - 2], st[sz - 1], v[i])) < 0) sz--; st[sz++] = v[i]; } for (int i = 0; i < sz; i++) p.push_back(st[i]); sz = 0; for (int i = 0; i < n; i++) { while (sz >= 2 && dcmp(cross(st[sz - 2], st[sz - 1], v[i]) > 0)) sz--; st[sz++] = v[i]; } for (int i = sz - 1; i >= 0; i--) { if (i == sz - 1 && st[i] == p.back()) continue; if (i == 0 && st[i] == p[0]) continue; p.push_back(st[i]); } } vector<pt> a, b; set<pair<int, int> > ans; int x[maxn], y[maxn]; int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x[i], &y[i]); a.push_back((pt){mul / x[i], mul / y[i]}); } convex_hull(a, b); for (int i = 0; i < b.size(); i++) { if (i && dcmp(b[i - 1].y - b[i].y) <= 0) break; int x0 = int(mul / b[i].x + 0.5), y0 = int(mul / b[i].y + 0.5); ans.insert((pair<int, int>){x0, y0}); } for (int i = 1; i <= n; i++) if (ans.count((pair<int, int>){x[i], y[i]})) printf("%d ", i); printf("\n"); }
#include <bits/stdc++.h> using namespace std; int n; struct Node { double a, b; int id; } poi[200200]; bool cmp(Node a, Node b) { return a.a < b.a || a.a == b.a && a.b < b.b; } int fa[200200]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } int sta[200200], top; Node en[200200]; double sl(Node x, Node y) { return (x.b - y.b) / (x.a - y.a); } bool book[200200]; int main() { scanf("%d", &n); int a, b; for (int i = 1; i <= n; ++i) { scanf("%d%d", &a, &b); poi[i].a = 100.00 / a; poi[i].b = 100.00 / b; poi[i].id = i; fa[i] = i; } sort(poi + 1, poi + n + 1, cmp); int tn = n, n = 0; for (int i = 1; i <= tn; ++i) { if (poi[i].a == poi[n].a && poi[i].b == poi[n].b) { fa[find(poi[i].id)] = find(poi[n].id); continue; } if (poi[i].a == poi[n].a) continue; poi[++n] = poi[i]; } for (int i = 1; i <= n; ++i) { if (!top) { sta[++top] = i; continue; } while (top > 1 && sl(poi[i], poi[sta[top - 1]]) < sl(poi[sta[top]], poi[sta[top - 1]])) top--; sta[++top] = i; } for (int i = 1; i <= top; ++i) en[i] = poi[sta[i]]; book[find(en[1].id)] = 1; for (int i = 1; i < top; ++i) if (sl(en[i], en[i + 1]) < 0) book[find(en[i].id)] = book[find(en[i + 1].id)] = 1; for (int i = 1; i <= tn; ++i) if (book[find(i)]) printf("%d ", i); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; struct point { ll x, y; bool operator<(point b) const { return make_pair(x, y) > make_pair(b.x, b.y); } }; int n; vector<point> a, p; ll det(point a, point b, point c) { return (a.x - b.x) * (b.y - c.y) * c.x * a.y - (b.x - c.x) * (a.y - b.y) * a.x * c.y; } vector<point> CH; void Push(point p) { while (CH.size() >= 2 && det(*++CH.rbegin(), *CH.rbegin(), p) < 0) CH.pop_back(); CH.push_back(p); } set<point> sol; void EXEC() { cin >> n; for (int i = 0; i < n; ++i) { int S, R; cin >> S >> R; a.push_back({S, R}); } p = a; sort(p.begin(), p.end()); for (int i = 0; i < p.size(); ++i) if (!i || p[i].x != p[i - 1].x) { Push(p[i]); } while (CH.size() >= 2 && CH.rbegin()->y <= (++CH.rbegin())->y) CH.pop_back(); for (auto i : CH) sol.insert(i); for (int i = 0; i < n; ++i) if (sol.count(a[i])) printf("%d ", i + 1); printf("\n"); } int main() { EXEC(); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } map<pair<int, int>, int> mp; int n, q[200000 + 5], Ans[200000 + 5], top, flag[200000 + 5]; struct hito { double a, b; int id; } s[200000 + 5]; bool cmp(const hito& x, const hito& y) { return x.a == y.a ? x.b < y.b : x.a < y.a; } inline double Calc(int x, int y) { return (s[x].b - s[y].b) / (s[x].a - s[y].a); } int main() { n = read(); int num = 0; for (int i = 1; i <= n; ++i) { int x = read(), y = read(); if (mp[make_pair(x, y)]) flag[i] = mp[make_pair(x, y)]; else mp[make_pair(x, y)] = i, s[++num] = (hito){1. / x, 1. / y, i}; } sort(s + 1, s + num + 1, cmp); double mn = 1e9; for (int i = 1; i <= num; ++i) if (s[i].b < mn) { while (top > 1 && Calc(q[top], q[top - 1]) > Calc(i, q[top])) --top; q[++top] = i; mn = s[i].b; } for (int i = 1; i <= top; ++i) Ans[s[q[i]].id] = 1; for (int i = 1; i <= n; ++i) if (flag[i] ? Ans[flag[i]] : Ans[i]) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; int n; pair<pair<long long, long long>, int> comp[200002], comp2[200002]; long long cross(pair<long long, long long> x, pair<long long, long long> y, pair<long long, long long> z) { return (x.first * z.first - y.first * z.first) * (x.second * y.second - x.second * z.second) - (x.second * z.second - y.second * z.second) * (x.first * y.first - x.first * z.first); } bool cmp(pair<pair<long long, long long>, int> x, pair<pair<long long, long long>, int> y) { return x.first == y.first; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%I64d %I64d", &comp[i].first.first, &comp[i].first.second); comp[i].second = i; } sort(comp, comp + n); int unik = 1; comp2[0] = comp[0]; for (int i = 0; i < n - 1; i++) { if (comp[i].first != comp[i + 1].first) comp2[unik++] = comp[i + 1]; } vector<int> hull; for (int i = 0; i < unik; i++) { while (hull.size() >= 2 && cross(comp2[hull[hull.size() - 2]].first, comp2[hull.back()].first, comp2[i].first) > 0) hull.pop_back(); hull.push_back(i); } vector<int> ans; while (hull.size() >= 2) { pair<long long, long long> bef = comp2[hull[hull.size() - 2]].first; pair<long long, long long> now = comp2[hull.back()].first; if (bef.second <= now.second) break; ans.push_back(hull.back()); hull.pop_back(); } ans.push_back(hull.back()); set<pair<long long, long long> > s; for (int i = 0; i < ans.size(); i++) s.insert(comp2[ans[i]].first); vector<int> ans2; for (int i = 0; i < n; i++) if (s.count(comp[i].first)) ans2.push_back(comp[i].second); sort(ans2.begin(), ans2.end()); for (int i = 0; i < ans2.size(); i++) printf("%d ", ans2[i] + 1); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 100; struct Point { long long x, y; bool operator<(const Point &p) const { if (x != p.x) return x > p.x; else return y > p.y; } } pt[maxn]; int stk[maxn], stnum; set<pair<long long, long long> > has; bool check(Point a, Point b, Point c) { return c.x * b.y * (b.x - a.x) * (a.y - c.y) < b.x * c.y * (a.x - c.x) * (b.y - a.y); } void convex(int n) { int i, j; stnum = 0; for (i = 0; i < n; i++) { while (stnum > 1 && check(pt[stk[stnum - 1]], pt[stk[stnum - 2]], pt[i])) stnum--; stk[stnum++] = i; while (stnum > 1 && pt[stk[stnum - 1]].y <= pt[stk[stnum - 2]].y) stnum--; } while (stnum > 1 && pt[stk[stnum - 1]].y <= pt[stk[stnum - 2]].y) stnum--; for (i = 0; i < stnum; i++) { has.insert(make_pair(pt[stk[i]].x, pt[stk[i]].y)); } } long long a[maxn], b[maxn]; int main() { int n, i, j; scanf("%d", &n); for (i = 0; i < n; i++) { scanf("%I64d %I64d", &a[i], &b[i]); pt[i].x = a[i]; pt[i].y = b[i]; } sort(pt, pt + n); convex(n); for (i = 0; i < n; i++) { if (has.find(make_pair(a[i], b[i])) != has.end()) { printf("%d ", i + 1); } } printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; struct people { long long a, b, id; } p[300010]; long long n, s[300010], t; bool v[300010], ans[300010]; bool cmp(people a, people b) { return a.a == b.a ? a.b > b.b : a.a > b.a; } long double check(people a, people b) { return (long double)a.a * b.a * (b.b - a.b) / (b.a - a.a) / b.b / a.b; } int main() { scanf("%lld", &n); for (int i = 1; i <= n; i++) scanf("%lld%lld", &p[i].a, &p[i].b), p[i].id = i; sort(p + 1, p + n + 1, cmp); s[1] = 1, t = 1; long long maxb = p[1].b; for (int i = 2; i <= n; i++) if (p[i].b <= maxb) v[i] = 1; else maxb = p[i].b; for (int i = 2; i <= n; i++) { if (v[i] || check(p[i], p[s[t]]) > 0) continue; while (t > 1 && check(p[i], p[s[t]]) < check(p[s[t - 1]], p[s[t]])) t--; s[++t] = i; } for (int i = 1; i <= t; i++) { ans[p[s[i]].id] = 1; for (int j = s[i] + 1; j <= n && p[s[i]].a == p[j].a && p[s[i]].b == p[j].b; j++) ans[p[j].id] = 1; } for (int i = 1; i <= n; i++) if (ans[i]) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; const double A = 1e4; const double eps = 1e-12; bool eq(double x, double y) { return fabs(x - y) < eps; } bool ls(double x, double y) { return x < y && !eq(x, y); } bool lseq(double x, double y) { return x < y || eq(x, y); } struct Point { int idx; double x, y; Point() : idx(), x(), y() {} Point(double _x, double _y) : idx(-1), x(_x), y(_y) {} void scan(int i) { idx = i; scanf("%lf%lf", &x, &y); x = A / x; y = A / y; } Point operator+(Point a) { return Point(x + a.x, y + a.y); } Point operator-(Point a) const { return Point(x - a.x, y - a.y); } Point operator*(double k) { return Point(x * k, y * k); } Point operator/(double k) { return Point(x / k, y / k); } double operator%(Point a) { return x * a.x + y * a.y; } double operator*(Point a) { return x * a.y - y * a.x; } double sqLen() { return *this % *this; } bool operator<(const Point &a) const { if (!eq(x, a.x)) return x < a.x; return ls(y, a.y); } bool operator==(const Point &a) const { return eq(x, a.x) && eq(y, a.y); } }; const int N = (int)2e5 + 200; int n, oldn; Point a[N]; Point minP; bool ans[N]; int ans2[N]; bool cmp(const Point &a, const Point &b) { Point v = a - minP; Point u = b - minP; double x = v * u; if (!eq(x, 0)) return x > 0; return ls(v.sqLen(), u.sqLen()); } void solve() { minP = a[0]; for (int i = 0; i < n; i++) if (a[i] < minP) minP = a[i]; sort(a, a + n, cmp); Point h[N]; int sz = 1; h[0] = a[0]; for (int i = 1; i < n; i++) { while (sz >= 2 && ls(0, (a[i] - h[sz - 1]) * (h[sz - 1] - h[sz - 2]))) sz--; h[sz++] = a[i]; } int idx = 1; while (idx < sz && ls((h[idx] - h[idx - 1]).y, 0)) idx++; for (int i = 0; i < idx; i++) ans[h[i].idx] = 1; for (int i = 1; i <= oldn; i++) if (ans[i] || (ans2[i] != -1 && ans[ans2[i]])) printf("%d ", i); printf("\n"); return; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) a[i].scan(i + 1); sort(a, a + n); ans2[a[0].idx] = -1; for (int i = 1; i < n; i++) { if (a[i] == a[i - 1]) { int p = a[i - 1].idx; if (ans2[p] == -1) ans2[a[i].idx] = p; else ans2[a[i].idx] = ans2[p]; } else ans2[a[i].idx] = -1; } oldn = n; n = unique(a, a + n) - a; solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200005; map<pair<long long int, long long int>, vector<int> > M; vector<pair<long long int, long long int> > A; pair<long long int, long long int> lower_left; bool ans[MAXN]; bool sorter1(const pair<long long int, long long int> &x, const pair<long long int, long long int> &y) { return (x > y); } bool sorter2(const pair<long long int, long long int> &x, const pair<long long int, long long int> &y) { long long int num1 = (lower_left.first - x.first) * x.second * y.first * (lower_left.second - y.second); long long int num2 = x.first * (lower_left.second - x.second) * (lower_left.first - y.first) * y.second; if (num1 != num2) return num1 > num2; else return (x > y); } vector<pair<long long int, long long int> > find_hull( vector<pair<long long int, long long int> > &A) { sort(A.begin(), A.end(), sorter1); lower_left = A[0]; sort(A.begin() + 1, A.end(), sorter2); if (A.size() < 3) return A; vector<pair<long long int, long long int> > ans(A.begin(), A.begin() + 2); int sz = 2; for (int i = 2; i < A.size(); ++i) { lower_left = ans[sz - 2]; while (sz >= 2 && sorter2(A[i], ans[sz - 1])) { ans.pop_back(); sz--; if (sz >= 2) lower_left = ans[sz - 2]; } ans.push_back(A[i]); sz++; } return ans; } int main() { ios_base::sync_with_stdio(0); int n; cin >> n; pair<long long int, long long int> temp; for (int i = 0; i < n; ++i) { cin >> temp.first >> temp.second; M[temp].push_back(i); } for (map<pair<long long int, long long int>, vector<int> >::iterator it = M.begin(); it != M.end(); ++it) A.push_back(it->first); A = find_hull(A); lower_left = A[0]; for (int i = 0; i < M[lower_left].size(); ++i) { ans[M[lower_left][i]] = true; } for (int i = 1; i < A.size(); ++i) { if (A[i].second > A[i - 1].second) { for (int j = 0; j < M[A[i]].size(); ++j) { ans[M[A[i]][j]] = true; } } else break; } for (int i = 0; i < n; ++i) { if (ans[i]) cout << i + 1 << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const double EPS = 1e-12; inline int cmp(double a, double b) { return (a < b - EPS) ? -1 : ((a > b + EPS) ? 1 : 0); } struct Point { double x, y; int id; Point(double x = 0.0, double y = 0.0, int id = 0) : x(x), y(y), id(id) {} Point operator+(Point a) { return Point(x + a.x, y + a.y); } Point operator-(Point a) { return Point(x - a.x, y - a.y); } Point operator*(double k) { return Point(x * k, y * k); } Point operator/(double k) { return Point(x / k, y / k); } double operator*(Point a) { return x * a.x + y * a.y; } double operator%(Point a) { return x * a.y - y * a.x; } int cmp(Point q) const { if (int t = ::cmp(x, q.x)) return t; return ::cmp(y, q.y); } bool operator>(Point q) const { return cmp(q) > 0; } bool operator<(Point q) const { return cmp(q) < 0; } bool operator==(Point q) const { return cmp(q) == 0; } bool operator>=(Point q) const { return cmp(q) >= 0; } bool operator<=(Point q) const { return cmp(q) <= 0; } bool operator!=(Point q) const { return cmp(q) != 0; } Point conj() { return Point(x, -y); } double norm() { return x * x + y * y; } double len() { return sqrt(norm()); } Point rotate(double alpha) { double cosa = cos(alpha), sina = sin(alpha); return Point(x * cosa - y * sina, x * sina + y * cosa); } }; double area2(Point a, Point b, Point c) { return a % b + b % c + c % a; } int ccw(Point a, Point b, Point c) { return cmp((b - a) % (c - a), 0); } void ConvexHull(vector<Point> &pts) { sort(pts.begin(), pts.end()); pts.erase(unique(pts.begin(), pts.end()), pts.end()); vector<Point> up, dn; for (int i = 0; i < pts.size(); i++) { while (up.size() > 1 && area2(up[up.size() - 2], up.back(), pts[i]) >= 0) up.pop_back(); while (dn.size() > 1 && area2(dn[dn.size() - 2], dn.back(), pts[i]) <= 0) dn.pop_back(); up.push_back(pts[i]); dn.push_back(pts[i]); } pts = dn; for (int i = (int)up.size() - 2; i >= 1; i--) pts.push_back(up[i]); } int bit[10111]; const int MN = 200111; bool can[MN]; void update(int u, int val) { while (u <= 10000) { bit[u] = max(bit[u], val); u += ((u) & (-(u))); } } int get(int u) { int res = 0; while (u > 0) { res = max(res, bit[u]); u -= ((u) & (-(u))); } return res; } pair<int, int> input[MN]; int main() { ios ::sync_with_stdio(false); int n; while (scanf("%d", &n) == 1) { vector<Point> a; memset(bit, 0, sizeof bit); for (int i = (1), _b = (n); i <= _b; i++) { int x, y; scanf("%d%d", &x, &y); a.push_back(Point(1.0 / x, 1.0 / y, i)); input[i] = make_pair(10001 - x, y); update(input[i].first, input[i].second); } for (int i = (1), _b = (n); i <= _b; i++) { if (get(input[i].first - 1) >= input[i].second) can[i] = false; else if (get(input[i].first) > input[i].second) can[i] = false; else can[i] = true; } ConvexHull(a); set<int> res; int sz = a.size(); Point O(0, 0, 0); for (int i = 0, _a = (sz); i < _a; i++) { Point y = a[i]; Point x = a[(i - 1 + sz) % sz]; Point xx = a[(i - 2 + sz + sz) % sz]; Point z = a[(i + 1) % sz]; Point zz = a[(i + 2) % sz]; if (ccw(x, y, z) * ccw(x, y, O) <= 0 && ccw(x, y, xx) * ccw(x, y, O) <= 0) res.insert(a[i].id); if (ccw(y, z, x) * ccw(y, z, O) <= 0 && ccw(y, z, zz) * ccw(y, z, O) <= 0) res.insert(a[i].id); } set<pair<int, int> > all; for (int x : res) if (can[x]) all.insert(input[x]); for (int i = (1), _b = (n); i <= _b; i++) if (all.count(input[i])) cout << i << ' '; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<long long, long long>, int> mp; int n, top, q[200010], tt; long long mx; struct Vec { long long x0, x1, y0, y1; int id; } a[200010]; inline int Read() { char c = getchar(); int num = 0; while ('0' > c || c > '9') c = getchar(); while ('0' <= c && c <= '9') num = num * 10 + c - '0', c = getchar(); return (num); } bool Cmp(Vec a, Vec b) { return ((a.x1 > b.x1) || (a.x1 == b.x1 && a.y1 > b.y1)); } long double operator*(Vec a, Vec b) { return ((long double)a.x0 * b.y0 * a.y1 * b.x1 - (long double)a.y0 * b.x0 * a.x1 * b.y1); } Vec operator-(Vec a, Vec b) { return ((Vec){a.x0 * b.x1 - a.x1 * b.x0, a.x1 * b.x1, a.y0 * b.y1 - a.y1 * b.y0, a.y1 * b.y1}); } int main() { n = Read(); for (int i = 1; i <= n; i++) a[i].x0 = a[i].y0 = 1, a[i].x1 = Read(), a[i].y1 = Read(), a[i].id = i; sort(a + 1, a + 1 + n, Cmp); q[top = 1] = 1; for (int i = 2; i <= n; i++) if (a[i].x1 != a[i - 1].x1) { while (top > 1 && (a[i] - a[q[top]]) * (a[q[top]] - a[q[top - 1]]) > 1e-7) top--; q[++top] = i; } for (int i = 1; i <= top; i++) if (a[q[i]].y1 > mx) tt = i, mx = a[q[i]].y1; top = tt; for (int i = 1; i <= top; i++) mp[make_pair(a[q[i]].x1, a[q[i]].y1)] = 1; top = 0; for (int i = 1; i <= n; i++) if (mp[make_pair(a[i].x1, a[i].y1)]) q[++top] = a[i].id; sort(q + 1, q + 1 + top); for (int i = 1; i <= top; i++) printf("%d ", q[i]); puts(""); }
#include <bits/stdc++.h> using namespace std; int n; struct Node { double a, b; int id; } poi[200200]; bool cmp(Node a, Node b) { return a.a < b.a || a.a == b.a && a.b < b.b; } int fa[200200]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } int sta[200200], top; Node en[200200]; double sl(Node x, Node y) { return (x.b - y.b) / (x.a - y.a); } bool book[200200]; int main() { scanf("%d", &n); int a, b; for (int i = 1; i <= n; ++i) { scanf("%d%d", &a, &b); poi[i].a = 100.00 / a; poi[i].b = 100.00 / b; poi[i].id = i; fa[i] = i; } sort(poi + 1, poi + n + 1, cmp); int tn = n, n = 0; for (int i = 1; i <= tn; ++i) { if (poi[i].a == poi[n].a && poi[i].b == poi[n].b) { fa[find(poi[i].id)] = find(poi[n].id); continue; } if (poi[i].a == poi[n].a) continue; poi[++n] = poi[i]; } for (int i = 1; i <= n; ++i) { if (!top) { sta[++top] = i; continue; } while (top > 1 && sl(poi[i], poi[sta[top - 1]]) < sl(poi[sta[top]], poi[sta[top - 1]])) top--; sta[++top] = i; } for (int i = 1; i <= top; ++i) { en[i] = poi[sta[i]]; } book[find(en[1].id)] = 1; for (int i = 1; i < top; ++i) if (sl(en[i], en[i + 1]) < 0) { book[find(en[i].id)] = book[find(en[i + 1].id)] = 1; } for (int i = 1; i <= tn; ++i) if (book[find(i)]) printf("%d ", i); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 200010; const double INF = 1e15; const double EPS = 1e-16; int sig(double x) { return (x < -EPS) ? -1 : (x > EPS) ? 1 : 0; } bool cmp(double x) { return x < 0 || fabs(x) < EPS; } struct Point { double x, y; int id; Point(double x = 0, double y = 0) : x(x), y(y) { id = 0; } }; Point operator+(const Point a, const Point b) { return Point(a.x + b.x, a.y + b.y); } Point operator-(const Point a, const Point b) { return Point(a.x - b.x, a.y - b.y); } double operator*(const Point a, const Point b) { return a.x * b.y - a.y * b.x; } double operator^(const Point a, const Point b) { return a.x * b.x + a.y * b.y; } Point operator*(const Point a, const double x) { return Point(a.x * x, a.y * x); } Point operator/(const Point a, const double x) { return Point(a.x / x, a.y / x); } bool operator==(const Point a, const Point b) { return (fabs(a.x - b.x) < EPS && fabs(a.y - b.y) < EPS); } bool operator<(const Point a, const Point b) { return a.x < b.x || (fabs(a.x - b.x) < EPS && a.y < b.y); } double cross(const Point &a, const Point &b) { return (a.x * b.y - a.y * b.x); } double dot(const Point &a, const Point &b) { return (a.x * b.x + a.y * b.y); } double dis2(Point a, Point b) { return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y); } int N; Point p[maxN], stk[maxN]; int pos[maxN]; bool ans[maxN]; int cnt; bool compare1(const Point a, const Point b) { double dir = cross((a - stk[1]), (b - stk[1])); if (sig(dir) == 0) return dis2(a, stk[1]) < dis2(b, stk[1]); return dir > 0; } int compare(Point x, Point y) { return (x - stk[1]) * (y - stk[1]) > 0; } int MakeHull(Point *ps, int n) { int cnt; sort(ps, ps + n); cnt = 0; for (int i = 0; i < n; i++) { if (i > 0 && p[i] == p[i - 1]) { pos[i] = pos[i - 1]; continue; } pos[i] = i; while (cnt > 1 && cmp(cross(stk[cnt - 1] - stk[cnt - 2], ps[i] - stk[cnt - 2])) == true) cnt--; stk[cnt++] = ps[i]; } int k = cnt; for (int i = n - 2; i >= 0; i--) { while (cnt > k && cmp(cross(stk[cnt - 1] - stk[cnt - 2], ps[i] - stk[cnt - 2]) == true)) cnt--; stk[cnt++] = ps[i]; } if (n > 1) cnt--; return cnt; } int main() { double s, r; double minix = INF; double miniy = INF; scanf("%d", &N); for (int i = 0; i < N; i++) { scanf("%lf%lf", &s, &r); p[i].x = 1000000 / s; p[i].y = 1000000 / r; p[i].id = i; miniy = min(miniy, p[i].y); minix = min(minix, p[i].x); } int tot = MakeHull(p, N); for (int i = 0; i < tot; i++) { ans[stk[i].id] = true; if (fabs(stk[i].y - miniy) < EPS) break; } for (int i = 0; i < N; i++) { if (ans[p[pos[i]].id] == true) ans[p[i].id] = true; } for (int i = 0; i < N; i++) if (ans[i] == true) printf("%d ", i + 1); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; struct pt { long double x, y; basic_string<int> id; bool operator<(pt b) const { if (x != b.x) return x < b.x; return y < b.y; } }; bool ispod(pt a, pt b) { return a.x <= b.x && a.y <= b.y; } long double det(pt a, pt b, pt c) { return a.x * b.y + b.x * c.y + c.x * a.y - a.y * b.x - b.y * c.x - c.y * a.x; } int n, nn, m, h; pt a[200005], b[200005], c[200005]; map<pair<int, int>, int> mp; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cerr.tie(nullptr); cin >> n; for (int i = 1; i <= n; i++) { int x, y; cin >> x >> y; if (mp.count({x, y})) a[mp[{x, y}]].id += i; else { a[nn].x = (long double)1 / x; a[nn].y = (long double)1 / y; a[nn].id = {i}; mp[{x, y}] = nn; nn++; } } sort(a, a + nn); for (int i = 0; i < nn; i++) { while (h >= 2 && det(c[h - 2], c[h - 1], a[i]) < -1e-16) h--; c[h++] = a[i]; } { basic_string<int> sol; for (int i = 0; i < h; i++) sol += c[i].id; sort(sol.begin(), sol.end()); for (int x : sol) cerr << x << ' '; cerr << '\n'; } while (h >= 2 && ispod(c[h - 2], c[h - 1])) h--; basic_string<int> sol; for (int i = 0; i < h; i++) sol += c[i].id; sort(sol.begin(), sol.end()); for (int x : sol) cout << x << ' '; cout << '\n'; }
#include <bits/stdc++.h> using namespace std; int n; struct D { int v1; int v2; vector<int> *i; bool operator<(const D &b) const { if (v1 != b.v1) return v1 < b.v1; return v2 < b.v2; } } inp[1000010]; map<D, int> rev; vector<int> ans; vector<int> anp; long long cross(long long a, long long b, long long c, long long d) { return a * d - b * c; } int main() { scanf("%d", &n); int s = 0; for (int i = 0; i < n; i++) { scanf("%d%d", &inp[s].v1, &inp[s].v2); if (rev.count(inp[s])) { inp[rev[inp[s]]].i->push_back(i); } else { inp[s].i = new vector<int>(); inp[s].i->push_back(i); rev[inp[s]] = s; s++; } } sort(inp, inp + s); int maa = -1; for (int i = s - 1; i >= 0; i--) { if (inp[i].v2 > maa) { maa = inp[i].v2; if (ans.size() < 2) ans.push_back(i); else { while (ans.size() >= 2) { D &p1 = inp[ans.back()], &p2 = inp[ans[ans.size() - 2]]; if ((long long)inp[i].v1 * p2.v2 * (p2.v1 - p1.v1) * (inp[i].v2 - p1.v2) - (long long)inp[i].v2 * p2.v1 * (p2.v2 - p1.v2) * (inp[i].v1 - p1.v1) <= 0) break; ans.pop_back(); } ans.push_back(i); } } } for (int i = 0; i < ans.size(); i++) { for (int j = 0; j < inp[ans[i]].i->size(); j++) anp.push_back((*inp[ans[i]].i)[j]); } sort(anp.begin(), anp.end()); for (int i = 0; i < anp.size(); i++) { printf("%d%c", anp[i] + 1, " \n"[i == anp.size() - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; struct Point { double x, y; int id; Point() {} Point(double x, double y) { this->x = x; this->y = y; } void read(int id) { int s, b; scanf("%d%d", &s, &b); x = 1000000.0 / s; y = 1000000.0 / b; this->id = id; } }; const double eps = 1e-16; int dcmp(double x) { if (fabs(x) < eps) return 0; else return x < 0 ? -1 : 1; } Point operator+(Point A, Point B) { return Point(A.x + B.x, A.y + B.y); } Point operator-(Point A, Point B) { return Point(A.x - B.x, A.y - B.y); } Point operator*(Point A, double p) { return Point(A.x * p, A.y * p); } Point operator/(Point A, double p) { return Point(A.x / p, A.y / p); } bool operator<(const Point& a, const Point& b) { return a.x < b.x || (dcmp(a.x - b.x) == 0 && a.y < b.y); } bool operator==(const Point& a, const Point& b) { return dcmp(a.x - b.x) == 0 && dcmp(a.y - b.y) == 0; } double Dot(Point A, Point B) { return A.x * B.x + A.y * B.y; } double Length(Point A) { return sqrt(Dot(A, A)); } double Angle(Point A, Point B) { return acos(Dot(A, B) / Length(A) / Length(B)); } double Cross(Point A, Point B) { return A.x * B.y - A.y * B.x; } double Area2(Point A, Point B, Point C) { return Cross(B - A, C - A); } struct Line { Point v, p; Line() {} Line(Point v, Point p) { this->v = v; this->p = p; } Point point(double t) { return v + p * t; } }; Point Rotate(Point A, double rad) { return Point(A.x * cos(rad) - A.y * sin(rad), A.x * sin(rad) + A.y * cos(rad)); } Point AngleBisector(Point p, Point v1, Point v2) { double rad = Angle(v1, v2); return Rotate(v1, dcmp(Cross(v1, v2)) * 0.5 * rad); } bool LineCoincide(Point p1, Point p2, Point p3) { return dcmp(Cross(p2 - p1, p3 - p1)) == 0; } bool LineParallel(Point v, Point w) { return Cross(v, w) == 0; } bool LineVertical(Point v, Point w) { return Dot(v, w) == 0; } Point GetLineIntersection(Point P, Point v, Point Q, Point w) { Point u = P - Q; double t = Cross(w, u) / Cross(v, w); return P + v * t; } double DistanceToLine(Point P, Point A, Point B) { Point v1 = B - A, v2 = P - A; return fabs(Cross(v1, v2)) / Length(v1); } double DistanceToSegment(Point P, Point A, Point B) { if (A == B) return Length(P - A); Point v1 = B - A, v2 = P - A, v3 = P - B; if (dcmp(Dot(v1, v2)) < 0) return Length(v2); else if (dcmp(Dot(v1, v3)) > 0) return Length(v3); else return fabs(Cross(v1, v2)) / Length(v1); } Point GetLineProjection(Point P, Point A, Point B) { Point v = B - A; return A + v * (Dot(v, P - A) / Dot(v, v)); } bool SegmentProperIntersection(Point a1, Point a2, Point b1, Point b2) { double c1 = Cross(a2 - a1, b1 - a1), c2 = Cross(a2 - a1, b2 - a1), c3 = Cross(b2 - b1, a1 - b1), c4 = Cross(b2 - b1, a2 - b1); return dcmp(c1) * dcmp(c2) < 0 && dcmp(c3) * dcmp(c4) < 0; } bool SegmentProperIntersection2(Point a1, Point a2, Point b1, Point b2) { double c1 = Cross(a2 - a1, b1 - a1), c2 = Cross(a2 - a1, b2 - a1), c3 = Cross(b2 - b1, a1 - b1), c4 = Cross(b2 - b1, a2 - b1); return max(a1.x, a2.x) >= min(b1.x, b2.x) && max(b1.x, b2.x) >= min(a1.x, a2.x) && max(a1.y, a2.y) >= min(b1.y, b2.y) && max(b1.y, b2.y) >= min(a1.y, a2.y) && dcmp(c1) * dcmp(c2) <= 0 && dcmp(c3) * dcmp(c4) <= 0; } bool OnSegment(Point p, Point a1, Point a2) { return dcmp(Cross(a1 - p, a2 - p)) == 0 && dcmp(Dot(a1 - p, a2 - p)) < 0; } double PolygonArea(Point* p, int n) { double area = 0; for (int i = 1; i < n - 1; i++) area += Cross(p[i] - p[0], p[i + 1] - p[0]); return area / 2; } int isPointInPolygon(Point o, Point* p, int n) { int wn = 0; for (int i = 0; i < n; i++) { if (OnSegment(o, p[i], p[(i + 1) % n])) return -1; int k = dcmp(Cross(p[(i + 1) % n] - p[i], o - p[i])); int d1 = dcmp(p[i].y - o.y); int d2 = dcmp(p[(i + 1) % n].y - o.y); if (k > 0 && d1 <= 0 && d2 > 0) wn++; if (k < 0 && d2 <= 0 && d1 > 0) wn--; } if (wn != 0) return 1; return 0; } const int N = 200005; int to[N]; int ConvexHull(Point* p, int n, Point* ch) { sort(p, p + n); int m = 0; memset(to, -1, sizeof(to)); for (int i = 0; i < n; i++) { to[i] = i; if (i && p[i] == p[i - 1]) { to[i] = to[i - 1]; continue; } while (m > 1 && dcmp(Cross(ch[m - 1] - ch[m - 2], p[i] - ch[m - 2])) <= 0) m--; ch[m++] = p[i]; } int k = m; for (int i = n - 2; i >= 0; i--) { while (m > k && dcmp(Cross(ch[m - 1] - ch[m - 2], p[i] - ch[m - 2])) <= 0) m--; ch[m++] = p[i]; } if (n > 1) m--; return m; } int n; Point p[N], ch[N]; int vis[N]; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) p[i].read(i + 1); int m = ConvexHull(p, n, ch); double Min = 1e18; for (int i = 0; i < m; i++) Min = min(Min, ch[i].y); for (int i = 0; i < m; i++) { vis[ch[i].id] = 1; if (dcmp(Min - ch[i].y) == 0) break; } for (int i = 0; i < n; i++) if (vis[p[to[i]].id]) vis[p[i].id] = 1; for (int i = 1; i <= n; i++) if (vis[i]) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; int N, dummy; long long cmp(pair<int, int> p, pair<int, int> a, pair<int, int> b) { return (long long)a.second * b.first * (p.first - a.first) * (p.second - b.second) - (long long)a.first * b.second * (p.second - a.second) * (p.first - b.first); } int main() { ios::sync_with_stdio(false); cin >> N; vector<pair<int, int> > input(N); for (int i = 0; i < (N); ++i) cin >> input[i].first >> input[i].second; vector<pair<int, int> > points(input); sort((points).begin(), (points).end()); vector<pair<int, int> > ret1, ret2; for (int i = 0; i < (N); ++i) { while (((int)(ret1).size()) && ret1.back().second <= points[i].second) ret1.pop_back(); ret1.push_back(points[i]); } for (int i = 0; i < (((int)(ret1).size())); ++i) { while (((int)(ret2).size()) > 1 && cmp(ret2[((int)(ret2).size()) - 2], ret2.back(), ret1[i]) > 0) ret2.pop_back(); ret2.push_back(ret1[i]); } set<pair<int, int> > pset((ret2).begin(), (ret2).end()); for (int i = 0; i < N; i++) if (pset.count(input[i])) cout << i + 1 << " "; return 0; }
#include <bits/stdc++.h> using namespace std; struct point { int X, Y; double x, y; point() { X = Y = x = y = .0; } point(double a, double b) { x = a, y = b; } inline void init(int a, int b) { X = a, Y = b; x = 1.0 / X; y = 1.0 / Y; } inline double operator*(point p) { return x * p.y - y * p.x; } inline point operator-(point p) { return point(x - p.x, y - p.y); } inline double dis(point p) { return ((x - p.x) * (x - p.x)) + ((y - p.y) * (y - p.y)); } inline pair<int, int> PII() { return pair<int, int>(X, Y); } }; point o; point l; inline bool ocmp(const point &a, const point &b) { return make_pair(a.y, a.x) < make_pair(b.y, b.x); } inline bool lcmp(const point &a, const point &b) { return make_pair(a.x, a.y) < make_pair(b.x, b.y); } inline bool scmp(const point &a, const point &b) { double cross = ((point)a - o) * ((point)b - o); if (fabs(cross) <= 1e-18) return o.dis(a) < o.dis(b); return cross < 1e-18; } vector<point> v; vector<point> hull; map<pair<int, int>, vector<int>> indx; void CH() { o = *min_element(v.begin(), v.end(), ocmp); l = *min_element(v.begin(), v.end(), lcmp); if (o.PII() == l.PII()) { for (int p : indx[o.PII()]) { cout << p << " "; } cout << endl; return; } sort(v.begin(), v.end(), scmp); if ((int)v.size() == 1) { hull.push_back(v.front()); return; } for (int i = 0; i < 2; i++) hull.push_back(v[i]); int po = 2; while (po < (int)v.size() && hull.back().PII() != l.PII()) { while (hull.size() > 1 && (hull[hull.size() - 1] - hull[hull.size() - 2]) * (v[po] - hull[hull.size() - 2]) > 1e-18) hull.pop_back(); hull.push_back(v[po++]); } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; for (int i = 0; i < n; i++) { int x, y; cin >> x >> y; indx[make_pair(x, y)].push_back(i + 1); } if ((int)indx.size() == 1) { for (auto p : indx) { for (int x : p.second) cout << x << " "; cout << endl; } return 0; } for (auto p : indx) { int x = p.first.first; int y = p.first.second; point P; P.init(x, y); v.push_back(P); } CH(); vector<int> ans; for (point p : hull) { for (int x : indx[p.PII()]) { ans.push_back(x); } } sort(ans.begin(), ans.end()); for (int x : ans) cout << x << " "; cout << endl; }
#include <bits/stdc++.h> using namespace std; int n; pair<pair<long long, long long>, int> comp[200002]; bool cross(pair<long long, long long> a, pair<long long, long long> b, pair<long long, long long> c) { return (a.second * b.second - a.second * c.second) * (b.first * c.first - a.first * c.first) < (a.second * c.second - b.second * c.second) * (a.first * c.first - a.first * b.first) || c.second >= b.second; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%I64d %I64d", &comp[i].first.first, &comp[i].first.second); comp[i].second = i; } comp[n] = make_pair(make_pair(0, 0), n); sort(comp, comp + n); vector<int> hull; for (int i = 0; i < n; i++) { while (hull.size() >= 2 && cross(comp[hull[hull.size() - 2]].first, comp[hull.back()].first, comp[i].first)) hull.pop_back(); hull.push_back(i); } vector<pair<long long, long long> > ans; while (hull.size() >= 2) { pair<long long, long long> bef = comp[hull[hull.size() - 2]].first; pair<long long, long long> now = comp[hull.back()].first; if (bef.second <= now.second && bef != now) break; ans.push_back(comp[hull.back()].first); hull.pop_back(); } ans.push_back(comp[hull.back()].first); set<pair<long long, long long> > super; while (!ans.empty()) { super.insert(ans.back()); ans.pop_back(); } vector<int> tans; for (int i = 0; i < n; i++) { if (super.find(comp[i].first) != super.end()) { tans.push_back(comp[i].second); } } sort(tans.begin(), tans.end()); for (int i = 0; i < tans.size(); i++) printf("%d ", tans[i] + 1); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MN = 1e4 + 100; const double E = 0.0000000001; struct { double r; vector<int> index; ; } compet[MN]; int ans[MN]; int ansPos = 0; double lo[MN]; double hi[MN]; int main() { int n; scanf("%d", &n); for (int i = 0; i < MN; ++i) { compet[i].r = 0; hi[i] = 1; } for (int i = 0; i < n; ++i) { int s, r; scanf("%d %d", &s, &r); if (compet[s].r == (double)r) { compet[s].index.push_back(i + 1); } else if (compet[s].r < r) { compet[s].r = r; compet[s].index.clear(); compet[s].index.push_back(i + 1); } } for (int i = 0; i < MN; ++i) { if (compet[i].index.size() == 0) continue; double q = 1 / compet[i].r; double w = 1 / (double)i - 1 / compet[i].r; double qq, ww; for (int j = i + 1; j < MN; ++j) { if (compet[j].index.size() == 0) continue; qq = q - 1 / compet[j].r; ww = w - 1 / (double)j + 1 / compet[j].r; if (abs(ww) < E) { if (qq > 0) { hi[i] = -1; } else { hi[j] = -1; } } else { qq /= -ww; if (ww > 0) { hi[i] = min(hi[i], qq); lo[j] = max(lo[j], qq); } else { lo[i] = max(lo[i], qq); hi[j] = min(hi[j], qq); } } } if (hi[i] > lo[i] + E || (abs(hi[i] - lo[i]) < E && lo[i] > 0 && lo[i] < 1)) { for (int x : compet[i].index) { ans[ansPos++] = x; } } } sort(ans, ans + ansPos); for (int i = 0; i < ansPos; ++i) { printf("%d ", ans[i]); } printf("\n"); }
#include <bits/stdc++.h> using namespace std; const int MAX = 200005; pair<int, int> p[MAX]; vector<pair<int, int> > v; int a[MAX], b[MAX]; pair<long long, long long> intersect(pair<int, int> a, pair<int, int> b) { return make_pair(a.first * (b.second - a.second), a.second * (b.first - a.first)); } bool cmp(pair<long long, long long> a, pair<long long, long long> b) { return (a.first * b.second < a.second * b.first); } int main() { ios::sync_with_stdio(false); int n; cin >> n; int tn = n; for (int i = 0; i < n; i++) { cin >> p[i].first >> p[i].second; a[i] = p[i].first; b[i] = p[i].second; } sort(p, p + n); for (int i = 0; i < n; i++) { while (!v.empty() && v.back().second <= p[i].second) v.pop_back(); v.push_back(p[i]); } n = v.size(); for (int i = 0; i < n; i++) p[i] = v[i]; v.clear(); for (int i = 0; i < n; i++) { while (v.size() > 1 && cmp(intersect(p[i], v.back()), intersect(v[v.size() - 2], v.back()))) v.pop_back(); v.push_back(p[i]); } set<pair<int, int> > s; for (int i = 0; i < v.size(); i++) s.insert(v[i]); vector<int> ans; for (int i = 0; i < tn; i++) if (s.count(make_pair(a[i], b[i]))) ans.push_back(i + 1); for (int i = 0; i < ans.size(); i++) cout << ans[i] << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string minEquivalent(string s) { if (s.length() % 2) return s; string s1 = minEquivalent(s.substr(0, s.length() / 2)); string s2 = minEquivalent(s.substr(s.length() / 2, s.length() / 2)); if (s1 < s2) return s1 + s2; else return s2 + s1; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); string a, b; cin >> a >> b; if (minEquivalent(a) == minEquivalent(b)) { cout << "YES" << endl; } else { cout << "NO" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; bool havasar(string ::iterator s1, int n, string::iterator s2, int m) { if (n != m) return 0; if (n == 1) return (*s1) == (*s2); bool mark = true; string::iterator s3 = s1, s4 = s2; for (int i = 0; i < n; i++) { if ((*s1) != (*s2)) { mark = false; break; } s1++; s2++; } s1 = s3; s2 = s4; if (mark) return true; if (n % 2 == 1) return false; int tn = n / 2; int tm = m / 2; int kn = n - tn; int km = m - tm; return ((havasar(s1, tn, s2, tm) && havasar(s1 + tn, kn, s2 + tm, km)) || (havasar(s1, tn, s2 + tm, km) && havasar(s1 + tn, kn, s2, tm))); } int main() { string s1, s2; cin >> s1 >> s2; cout << (havasar(s1.begin(), s1.size(), s2.begin(), s2.size()) ? "YES" : "NO") << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int sdf = 0; bool equi(string a, string b) { int l = a.size(); if (l % 2 == 1) return a == b; if (a == b) return 1; else return (equi(a.substr(0, l / 2), b.substr(l / 2, l / 2)) && equi(b.substr(0, l / 2), a.substr(l / 2, l / 2))) || (equi(a.substr(0, l / 2), b.substr(0, l / 2)) && equi(b.substr(l / 2, l / 2), a.substr(l / 2, l / 2))); } int main() { string a, b; cin >> a >> b; if (equi(a, b)) cout << "YES"; else cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e9; long long gcd(long long a, long long b) { return (a ? gcd(b % a, a) : b); } long long power(long long a, long long n) { long long p = 1; while (n > 0) { if (n % 2) { p = p * a; } n >>= 1; a *= a; } return p; } char a[200010], b[200010]; int isEq(char* x, char* y, int l) { if (l & 1) { return strncmp(x, y, l) == 0; } l >>= 1; return (isEq(x, y, l) && isEq(x + l, y + l, l)) || (isEq(x + l, y, l) && isEq(x, y + l, l)); } int main() { ios_base::sync_with_stdio(false); scanf("%s\n%s", a, b); puts(isEq(a, b, strlen(a)) ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> using namespace std; string a, b; bool check(string x, string y) { if (x == y) return true; if (x.size() % 2 == 1) return x == y; string c1 = "", c2 = ""; for (int i = 0; i < (x.size() / 2); i++) { c1 += x[i]; c2 += y[i + x.size() / 2]; } string c3, c4; for (int i = 0; i < (x.size() / 2); i++) { c4 += y[i]; c3 += x[i + x.size() / 2]; } if (check(c1, c2) && check(c3, c4) || check(c1, c4) && check(c2, c3)) return true; return false; } int main() { cin >> a >> b; if (check(a, b)) puts("YES"); else puts("NO"); }
#include <bits/stdc++.h> using namespace std; long long MO[] = {1000000007, 1000000009, 1000000007}; long long PR[] = {137, 173, 17}; long long PO[1][200005]; long long HA[1][200005][2]; string a, b; void init() { PO[0][0] = 1; for (int h = 0; h < 1; ++h) { for (int i = 0; i < a.size(); ++i) { if (i) PO[h][i] = (PO[h][i - 1] * PR[h]) % MO[h]; if (i) { HA[h][i][0] = ((HA[h][i - 1][0] * PR[h]) + a[i]) % MO[h]; HA[h][i][1] = ((HA[h][i - 1][1] * PR[h]) + b[i]) % MO[h]; } else { HA[h][i][0] = a[i]; HA[h][i][1] = b[i]; } } } } long long getHash(int hId, int l, int r, int k) { long long ret = HA[hId][r][k]; if (l == 0) return ret; ret = (ret - (HA[hId][l - 1][k] * PO[hId][(r - l + 1)])) % MO[hId]; ret = (ret + MO[hId]) % MO[hId]; return ret; } bool same(int l, int r, int l2, int r2) { for (int i = 0; i < 1; i++) { if (getHash(i, l, r, 0) != getHash(i, l2, r2, 1)) return false; } return true; } bool solve(int a1, int a2, int b1, int b2) { if (same(a1, a2, b1, b2)) return true; if ((a2 - a1 + 1) & 1) return false; int midpoint_a = (a2 + a1) / 2; int midpoint_b = (b2 + b1) / 2; bool ans = (solve(a1, midpoint_a, midpoint_b + 1, b2) && solve(midpoint_a + 1, a2, b1, midpoint_b)); if (!ans) ans = ans || (solve(a1, midpoint_a, b1, midpoint_b) && solve(midpoint_a + 1, a2, midpoint_b + 1, b2)); return ans; } int main() { cin >> a; cin >> b; init(); if (solve(0, a.size() - 1, 0, b.size() - 1)) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxnb = (int)1e9 + 7; const double pi = acos(-1.0); const int maxnl = 100500; const double eps = 1e-9; string s1, s2; string sm(string s) { if (s.length() % 2 == 1) return s; string s1 = sm(s.substr(0, s.size() / 2)); string s2 = sm(s.substr(s.size() / 2, s.size())); if (s1 < s2) return s1 + s2; else return s2 + s1; } int main() { cin >> s1 >> s2; cout << (sm(s1) == sm(s2) ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> inline int two(int n) { return 1 << n; } inline int test(int n, int b) { return (n >> b) & 1; } inline void set_bit(int& n, int b) { n |= two(b); } inline void unset_bit(int& n, int b) { n &= ~two(b); } inline int last_bit(int n) { return n & (-n); } inline int ones(int n) { int res = 0; while (n && ++res) n -= n & (-n); return res; } long long int gcd(long long int a, long long int b) { return (a ? gcd(b % a, a) : b); } long long int modPow(long long int a, long long int b, long long int MOD) { long long int x = 1, y = a; while (b > 0) { if (b % 2 == 1) { x = (x * y) % MOD; } b /= 2; y = (y * y) % MOD; } return x; } long long int modInverse(long long int a, long long int p) { return modPow(a, p - 2, p); } using namespace std; string func(string str) { int len = str.size(); if (len & 1) return str; else { string first = func(str.substr(0, len / 2)); string second = func(str.substr(len / 2, len)); if (first < second) return first + second; else return second + first; } } int main() { ios::sync_with_stdio(false); cin.tie(0); string str1, str2; cin >> str1 >> str2; int a, b, c; if (func(str1) == func(str2)) cout << "YES"; else cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace ::std; const double pi = acos(-1.0); int a1, b1, walls[2][2]; bool check(int w, int h, int w2, int h2) { if (w + w2 <= b1 && max(h, h2) <= a1) return true; if (w + w2 <= a1 && max(h, h2) <= b1) return true; return false; } bool equal(const string& f, const string& s) { if (f == s) return true; if (f.size() % 2 && f != s) return false; string f1 = f.substr(0, f.size() / 2), f2 = f.substr(f.size() / 2, f.size() / 2); string s1 = s.substr(0, f.size() / 2), s2 = s.substr(f.size() / 2, f.size() / 2); return (equal(f1, s2) && equal(f2, s1)) || (equal(f1, s1) && equal(f2, s2)); } string a, b; int main() { cin >> a >> b; if (equal(a, b)) cout << "YES"; else cout << "NO"; }
#include <bits/stdc++.h> using namespace std; int to_int(string s) { int first = 0; int k = (int)pow(10, (double)s.length() - 1); for (int i = 0; i < (int)s.length(); i++) { first += (s[i] - '0') * k; k /= 10; } return first; } string to_string(int first) { if (first == 0) { return "0"; } string s = ""; bool f = first < 0; first = abs(first); while (first != 0) { s += (first % 10) + '0'; first /= 10; } string t = ""; if (f) { t = "-"; } for (int i = s.length() - 1; i >= 0; i--) { t += s[i]; } return t; } int factorial(int first) { int sum = 1; for (long long i = 1; i <= first; i++) { sum *= i; } return sum; } bool is_prime(int n) { for (int i = 2; i * i <= n; ++i) { if (n % i == 0) { return false; } } return true; } string a(string s) { if (s.size() % 2 == 1) { return s; } string first = s.substr(0, s.size() / 2); string second = s.substr(s.size() / 2, s.size()); first = a(first); second = a(second); if (first < second) { return first + second; } else { return second + first; } } inline void out(int mas[], int s) { for (int i = 0; i < s; i++) { cout << mas[i] << endl; } } inline long long nxt() { long long first; scanf("%I64d", &first); return first; } int main() { string s, str; cin >> s >> str; if (a(s) == a(str)) cout << "YES"; else cout << "NO"; return 0; }
#include <bits/stdc++.h> char a[200001]; char b[200001]; bool divide(int a1, int b1, int len) { if (len == 1) { return a[a1] == b[b1]; } else if (strncmp(a + a1, b + b1, len) == 0) { return true; } if (len % 2 == 0) { if (divide(a1, b1, len / 2) && divide(a1 + (len / 2), b1 + (len / 2), len / 2)) { return true; } if (divide(a1 + (len / 2), b1, len / 2) && divide(a1, b1 + (len / 2), len / 2)) { return true; } } return false; } int main() { scanf("%s%s", a, b); int len = strlen(a); if (divide(0, 0, len)) { printf("YES"); } else { printf("NO"); } }
#include <bits/stdc++.h> using namespace std; string conv(string cur) { int i; if (cur.size() & 1) return cur; else { string tmp, tmp1; for (i = 0; i < cur.size() / 2; i++) tmp.push_back(cur[i]); for (; i < cur.size(); i++) tmp1.push_back(cur[i]); tmp = conv(tmp); tmp1 = conv(tmp1); if (tmp < tmp1) { return tmp + tmp1; } else return tmp1 + tmp; } } int main() { ios_base::sync_with_stdio(false); int t, i, j, k, n, m, a, b, c; string inp, inp2; cin >> inp >> inp2; if (conv(inp) == conv(inp2)) cout << "YES" << endl; else cout << "NO" << endl; }
#include <bits/stdc++.h> using namespace std; string solve(string s) { if (s.size() & 1) return s; string x = solve(s.substr(0, s.size() / 2)); string y = solve(s.substr(s.size() / 2)); return min(x + y, y + x); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); string a, b; cin >> a >> b; cout << (solve(a) == solve(b) ? "YES" : "NO") << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string a, b; string smallest(string a) { if (a.size() & 1) return a; string b = smallest(a.substr(0, a.size() / 2)); string c = smallest(a.substr(a.size() / 2)); if (b > c) return c + b; else return b + c; } int main() { cin >> a >> b; if (smallest(a) == smallest(b)) cout << "YES\n"; else cout << "NO\n"; }
#include <bits/stdc++.h> using namespace std; long long int inline ipow(long long int a, long long int b, long long int m) { long long int val = 1; a %= m; while (b) { if (b & 01) val = (val * a) % m; b >>= 1; a = (a * a) % m; }; return val % m; } long long int inline ipow(long long int a, long long int b) { long long int val = 1; while (b) { if (b & 01) val = (val * a); b >>= 1; a = (a * a); }; return val; } set<pair<int, int> > s; set<int> xc; set<int> yc; int dx[4] = {-1, 1, 0, 0}; int dy[4] = {0, 0, 1, -1}; bool func(string a, string b) { if (a == b) return true; else if (a.size() % 2 == 0) { long long int length = a.size() / 2; if (func(a.substr(0, length), b.substr(length, length)) && func(a.substr(length, length), b.substr(0, length)) || func(a.substr(0, length), b.substr(0, length)) && func(a.substr(length, length), b.substr(length, length))) return true; else return false; } else return false; } int main() { string a, b; cin >> a >> b; if (func(a, b)) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string chk(string a) { if (a.length() & 1) { return a; } string left = chk(a.substr(0, a.length() / 2)); string right = chk(a.substr(a.length() / 2, a.length())); if (left < right) return left + right; else return right + left; } int main() { string a, b; cin >> a >> b; if (chk(a) == chk(b)) { cout << "YES"; } else { cout << "NO"; } return 0; }
#include <bits/stdc++.h> using namespace std; string a, b; int m, n, y; bool ans(string s, string t) { if (s == t) return 1; if ((s.length()) % 2) { return 0; } int z1 = s.length() / 2; string g1 = s.substr(0, z1), g2 = t.substr(z1, z1), g3 = t.substr(0, z1), g4 = s.substr(z1, z1); return ((ans(g1, g2) && ans(g3, g4)) || (ans(g1, g3) && ans(g4, g2))); } int main() { ios::sync_with_stdio(false); cin >> a >> b; if (ans(a, b)) cout << "YES"; else cout << "NO"; return 0; }
#include <bits/stdc++.h> using namespace std; string a, b; bool eq(int idx1, int idx2, int idx3, int idx4) { if (idx2 - idx1 != idx4 - idx3) return false; bool all = true; for (int i = idx1; i <= idx2; i++) { all = all && a[i] == b[idx3 + i - idx1]; } if (all) return true; if (idx1 == idx2) return false; return (((idx2 - idx1 + 1) % 2) == 0) && (((idx4 - idx3 + 1) % 2) == 0) && ((eq(idx1, (idx1 + idx2) / 2, (idx3 + idx4) / 2 + 1, idx4) && eq((idx1 + idx2) / 2 + 1, idx2, idx3, (idx3 + idx4) / 2)) || (eq(idx1, (idx1 + idx2) / 2, idx3, (idx3 + idx4) / 2) && eq((idx1 + idx2) / 2 + 1, idx2, (idx3 + idx4) / 2 + 1, idx4))); } int main() { cin >> a >> b; if (eq(0, a.size() - 1, 0, b.size() - 1)) { cout << "YES" << endl; } else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string word, word2; bool check(string a, string b) { if (a == b) return 1; int len = a.size(); if (len & 1 || len == 0) return 0; len >>= 1; string temp = a.substr(0, len), temp1 = a.substr(len, len), tmp = b.substr(0, len), tmp1 = b.substr(len, len); if (check(temp, tmp1) && check(temp1, tmp) || check(temp, tmp) && check(temp1, tmp1)) return 1; return 0; } int main() { cin >> word >> word2; if (check(word, word2)) puts("YES"); else puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1E9 + 9; const string process(const string &s) { if (s.size() & 1) return s; string s1 = process(s.substr(0, s.size() >> 1)); string s2 = process(s.substr(s.size() >> 1)); return s1 < s2 ? s1 + s2 : s2 + s1; } int main() { string s1, s2; cin >> s1 >> s2; printf("%s\n", process(s1) == process(s2) ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(3, "Ofast", "inline") using namespace std; const int N = 1e5 + 5; const int M = 1e6 + 5; const int MOD = 1e9 + 7; const int CM = 998244353; const int INF = 0x3f3f3f3f; const double eps = 1e-6; template <typename T> T MAX(T a, T b) { return a > b ? a : b; } template <typename T> T MIN(T a, T b) { return a > b ? b : a; } template <typename T> T GCD(T a, T b) { return b == 0 ? a : GCD(b, a % b); } template <typename T> T LCM(T a, T b) { return a / GCD(a, b) * b; } template <typename T> T ABS(T a) { return a > 0 ? a : -a; } template <typename T> T ADD(T a, T b, T MOD) { return (a + b) % MOD; } template <typename T> T DEL(T a, T b, T MOD) { return ((a - b) % MOD + MOD) % MOD; } template <typename T> T getmod(T a, T mod) { return (a % mod + mod) % mod; } template <typename T> void debug(T a, char x) { return; } int rand(int a, int b) { return rand() % (b - a + 1) + a; } string a, b; bool divi(string a, string b) { if (a == b) return 1; int n = a.length(); if (n & 1) return 0; string a1 = a.substr(0, n / 2), a2 = a.substr(n / 2, n / 2); string b1 = b.substr(0, n / 2), b2 = b.substr(n / 2, n / 2); if (divi(a1, b2) && divi(a2, b1)) return 1; if (divi(a1, b1) && divi(a2, b2)) return 1; return 0; } void solve(int kase) { cin >> a >> b; if (divi(a, b)) printf("YES\n"); else printf("NO\n"); } const bool DUO = 0; void TIME() { clock_t start, finish; double totaltime; start = clock(); if (DUO) { int Kase = 0; cin >> Kase; for (int kase = 1; kase <= Kase; kase++) solve(kase); } else solve(1); finish = clock(); totaltime = (double)(finish - start) / CLOCKS_PER_SEC; printf("\nTime:%lfms\n", totaltime * 1000); } int main() { if (DUO) { int Kase = 0; cin >> Kase; for (int kase = 1; kase <= Kase; kase++) solve(kase); } else solve(1); return 0; }
#include <bits/stdc++.h> using namespace std; string a, b; long long int e[100], ha[200005], hb[200005], len, pexp[200005]; map<long long int, int> dp; long long int fastexp(long long int base, long long int ex) { long long int ans = 1; while (ex) { if (ex % 2 == 1) ans = (ans % 1000000007 * base % 1000000007) % 1000000007; ex /= 2; base = (base * base) % 1000000007; } return ans % 1000000007; } long long int make(long long int x, long long int y, long long int z) { return z + y * 1000000 + x * 1000000000000; } void pre() { e[0] = 1; for (int i = 1; i < 30; i++) e[i] = 2 * e[i - 1]; long long int exp = 33; pexp[0] = 1; ha[1] = a[0]; hb[1] = b[0]; for (int i = 1; i < a.size(); i++) { ha[i + 1] = (((a[i] % 1000000007) * (exp % 1000000007)) % 1000000007 + ha[i]) % 1000000007; hb[i + 1] = (((b[i] % 1000000007) * (exp % 1000000007)) % 1000000007 + hb[i]) % 1000000007; pexp[i] = fastexp(exp, 1000000007 - 2); exp = (exp * 33) % 1000000007; } len = a.size(); } int cdp(long long int p2, long long int sa, long long int sb) { if (dp.find(make(p2, sa, sb)) == dp.end()) { int temp = 0; if (((ha[sa + (len / e[p2]) - 1] - ha[sa - 1] + 1000000007) % 1000000007 * pexp[sa - 1]) % 1000000007 == ((hb[sb + (len / e[p2]) - 1] - hb[sb - 1] + 1000000007) % 1000000007 * pexp[sb - 1]) % 1000000007) temp = 1; else if ((len / e[p2]) % 2 == 1) temp = 0; else if (cdp(p2 + 1, sa, sb + len / e[p2 + 1]) == 1 && cdp(p2 + 1, sa + len / e[p2 + 1], sb) == 1) temp = 1; else if (cdp(p2 + 1, sa, sb) == 1 && cdp(p2 + 1, sa + len / e[p2 + 1], sb + len / e[p2 + 1]) == 1) temp = 1; dp[make(p2, sa, sb)] = temp; } return dp[make(p2, sa, sb)]; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> a >> b; pre(); if (cdp(0, 1, 1) == 1) cout << "YES" << '\n'; else cout << "NO" << '\n'; return 0; }
#include <bits/stdc++.h> char A[210000]; char B[210000]; bool Equal(int Ab, int Ae, int Bb, int Be) { int i; if ((Ae - Ab + 1) % 2) { for (i = Ab; i <= Ae; i++) if (A[i] != B[i - Ab + Bb]) break; if (i > Ae) return true; else return false; } else { if (Equal(Ab, (Ab + Ae) / 2, Bb, (Bb + Be) / 2) && Equal((Ab + Ae) / 2 + 1, Ae, (Bb + Be) / 2 + 1, Be)) return true; else if (Equal(Ab, (Ab + Ae) / 2, (Bb + Be) / 2 + 1, Be) && Equal((Ab + Ae) / 2 + 1, Ae, Bb, (Bb + Be) / 2)) return true; else return false; } } int main() { int L; scanf("%s %s", A, B); L = strlen(A); if (Equal(0, L - 1, 0, L - 1)) printf("YES"); else printf("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; char A[201000], B[201000]; bool isequal(int l, int r, int a, int b) { int i, j; for (i = l, j = a; i <= r; i++, j++) if (A[i] != B[j]) return false; return true; } bool iseqv(int l, int r, int a, int b) { if ((r - l + 1) % 2 == 1) return isequal(l, r, a, b); if (isequal(l, r, a, b)) return true; int m = (l + r) / 2, c = (a + b) / 2; return (iseqv(l, m, a, c) && iseqv(m + 1, r, c + 1, b)) || (iseqv(l, m, c + 1, b) && iseqv(m + 1, r, a, c)); } int main() { int len; scanf("%s", A); scanf("%s", B); len = strlen(A) - 1; iseqv(0, len, 0, len) ? printf("YES\n") : printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { char a[200001], b[200001]; scanf("%s%s", a, b); int ln = strlen(a); auto f = [&](char *s) { int lns = ln; while (lns % 2 == 0) { lns >>= 1; } for (int i = lns; i + i <= ln; i <<= 1) { for (int j = 0; j < ln; j += i + i) { for (int jj = j; jj < j + i; jj++) { if (s[jj] != s[jj + i]) { if (s[jj] > s[jj + i]) for (int ii = j; ii < j + i; ii++) { swap(s[ii], s[ii + i]); } break; } } } } }; f(a); f(b); if (strcmp(a, b) == 0) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; string str1, str2; int sum[2][30][200005]; bool solve(string &a, string &b, int an, int bn) { bool ret = false; if (a == b) return true; if (a.length() % 2) return false; for (int k = 'a'; k <= 'z'; k++) { if (sum[0][k - 'a'][an + a.length()] - sum[0][k - 'a'][an] != sum[1][k - 'a'][bn + b.length()] - sum[1][k - 'a'][bn]) return false; } string at[2], bt[2]; bool tt[2][2] = {}; int as = a.size() / 2, bs = b.size() / 2; at[0] = a.substr(0, as); at[1] = a.substr(as); bt[0] = b.substr(0, bs); bt[1] = b.substr(bs); if (solve(at[0], bt[0], an, bn) && solve(at[1], bt[1], an + as, bn + bs)) { ret = true; } else if (solve(at[1], bt[0], an + as, bn) && solve(at[0], bt[1], an, bn + bs)) { ret = true; } return ret; } int main() { cin >> str1 >> str2; for (int i = 0; i < str1.length(); i++) { for (int k = 'a'; k <= 'z'; k++) { sum[0][k - 'a'][i + 1] = sum[0][k - 'a'][i]; sum[1][k - 'a'][i + 1] = sum[1][k - 'a'][i]; } sum[0][str1[i] - 'a'][i + 1]++; sum[1][str2[i] - 'a'][i + 1]++; } cout << (solve(str1, str2, 0, 0) ? "YES" : "NO") << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool eq(string p, string q) { if (p == q) return true; int n1 = p.length(), m1 = q.length(); if (n1 & 1 || m1 & 1 || n1 == 0 || m1 == 0) return false; if (eq(p.substr(0, n1 / 2), q.substr(m1 / 2, m1 / 2)) && eq(p.substr(n1 / 2, n1 / 2), q.substr(0, m1 / 2))) return true; if (eq(p.substr(0, n1 / 2), q.substr(0, m1 / 2)) && eq(p.substr(n1 / 2, n1 / 2), q.substr(m1 / 2, m1 / 2))) return true; return false; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); string p, q; cin >> p >> q; if (eq(p, q)) cout << "YES\n"; else cout << "NO\n"; return 0; }
#include <bits/stdc++.h> const int MOD = 1e9 + 7; const int mod = 1073741824; const int MAXN = 1e9 + 1; const double PI = 3.14159265359; using namespace std; string first(string q) { if (q.size() % 2 == 1) { return q; } string a = q.substr(0, q.size() / 2); string b = q.substr(q.size() / 2, q.size()); a = first(a); b = first(b); if (a < b) { return a + b; } else { return b + a; } } int main() { ios_base::sync_with_stdio(0); string a, b; cin >> a >> b; if (first(a) == first(b)) { cout << "YES"; } else { cout << "NO"; } return 0; }
#include <bits/stdc++.h> using namespace std; bool solve(string a, string b) { if (a == b) return true; int n = a.size(); if (n % 2 == 1) return false; string a1 = a.substr(0, n / 2); string a2 = a.substr(n / 2, n / 2); string b1 = b.substr(0, n / 2); string b2 = b.substr(n / 2, n / 2); bool x = (solve(a1, b2) && solve(a2, b1)); if (x) return true; x = (solve(a1, b1) && solve(a2, b2)); return x; } int main() { ios::sync_with_stdio(0); string a, b; cin >> a >> b; bool x = solve(a, b); if (x) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; string smalleststring(string s) { if (s.length() % 2 == 1) return s; string s1 = smalleststring(s.substr(0, s.length() / 2)); string s2 = smalleststring(s.substr(s.length() / 2, s.length())); return s1 < s2 ? s1 + s2 : s2 + s1; } int main() { string sa, sb; cin >> sa >> sb; sa = smalleststring(sa); sb = smalleststring(sb); printf("%s\n", sa == sb ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(3, "Ofast", "inline") using namespace std; const int N = 2e5 + 5; const int M = 1e6 + 5; const int MOD = 1e9 + 7; const int CM = 998244353; const int INF = 0x3f3f3f3f; const double eps = 1e-6; template <typename T> T MAX(T a, T b) { return a > b ? a : b; } template <typename T> T MIN(T a, T b) { return a > b ? b : a; } template <typename T> T GCD(T a, T b) { return b == 0 ? a : GCD(b, a % b); } template <typename T> T LCM(T a, T b) { return a / GCD(a, b) * b; } template <typename T> T ABS(T a) { return a > 0 ? a : -a; } template <typename T> T ADD(T a, T b, T MOD) { return (a + b) % MOD; } template <typename T> T DEL(T a, T b, T MOD) { return ((a - b) % MOD + MOD) % MOD; } template <typename T> T getmod(T a, T mod) { return (a % mod + mod) % mod; } template <typename T> void debug(T a, char x) { return; } int rand(int a, int b) { return rand() % (b - a + 1) + a; } char aa[N], bb[N]; char a1[N], a2[N], b1[N], b2[N]; bool divi(int l1, int r1, int l2, int r2) { bool f = 1; for (int i = l1, j = l2; i <= r1 && j <= r2; i++, j++) { if (aa[i] != bb[j]) { f = 0; break; } } if (f == 1) return 1; int n = r1 - l1 + 1; if (n & 1) return 0; int mid1 = (l1 + r1) >> 1, mid2 = (l2 + r2) >> 1; if (divi(l1, mid1, l2, mid2) && divi(mid1 + 1, r1, mid2 + 1, r2)) return 1; if (divi(l1, mid1, mid2 + 1, r2) && divi(mid1 + 1, r1, l2, mid2)) return 1; return 0; } void solve(int kase) { scanf("%s", aa + 1); scanf("%s", bb + 1); int n = strlen(aa + 1); if (divi(1, n, 1, n)) printf("YES\n"); else printf("NO\n"); } const bool DUO = 0; void TIME() { clock_t start, finish; double totaltime; start = clock(); if (DUO) { int Kase = 0; cin >> Kase; for (int kase = 1; kase <= Kase; kase++) solve(kase); } else solve(1); finish = clock(); totaltime = (double)(finish - start) / CLOCKS_PER_SEC; printf("\nTime:%lfms\n", totaltime * 1000); } int main() { if (DUO) { int Kase = 0; cin >> Kase; for (int kase = 1; kase <= Kase; kase++) solve(kase); } else solve(1); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1E9 + 9; const int maxn = 2e5 + 6; char s1[maxn], s2[maxn]; bool ok(int a, int b, int c, int d) { for (; a <= b && (s1[a] == s2[c]); a++, c++) ; return a > b; } bool dfs(int a, int b, int c, int d) { if (ok(a, b, c, d)) return true; if ((b - a + 1) & 1) return false; int m1 = (a + b) >> 1; int m2 = (c + d) >> 1; if (dfs(a, m1, c, m2) && dfs(m1 + 1, b, m2 + 1, d)) return true; return dfs(a, m1, m2 + 1, d) && dfs(m1 + 1, b, c, m2); } int main() { scanf("%s%s", s1 + 1, s2 + 1); printf("%s\n", (dfs(1, strlen(s1 + 1), 1, strlen(s2 + 1)) ? "YES" : "NO")); return 0; }
#include <bits/stdc++.h> using namespace std; int tree[25][300000]; bool lazy[25][300000] = {0}; bitset<25> mybitset[300000]; string minEquivalent(string s) { if (s.length() % 2) return s; string s1 = minEquivalent(s.substr(0, s.length() / 2)); string s2 = minEquivalent(s.substr(s.length() / 2, s.length() / 2)); if (s1 < s2) return s1 + s2; else return s2 + s1; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); string a, b; cin >> a >> b; if (minEquivalent(a) == minEquivalent(b)) { cout << "YES" << endl; } else { cout << "NO" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; bool isequal(string& a, string& b) { if (a.size() != b.size()) return false; if (a == b) return true; if (a.size() % 2) return false; string ah = string(a.begin(), a.begin() + a.size() / 2); string al = string(a.begin() + a.size() / 2, a.end()); string bh = string(b.begin(), b.begin() + b.size() / 2); string bl = string(b.begin() + b.size() / 2, b.end()); return (isequal(ah, bl) && isequal(al, bh)) || (isequal(ah, bh) && isequal(al, bl)); } int main() { string a, b; cin >> a >> b; cout << (isequal(a, b) ? "YES" : "NO"); return 0; }
#include <bits/stdc++.h> using namespace std; char s[200200], t[200200]; bool solve(int l, int r, int L, int R) { bool f = 1; for (int i = l, j = L; i < r && j < R && f; i++, j++) if (s[i] != t[j]) f = 0; if (f) return 1; int len = r - l; if (len % 2 == 0) { int m = (l + r) >> 1; int M = (L + R) >> 1; if (solve(l, m, L, M) && solve(m, r, M, R)) return 1; if (solve(l, m, M, R) && solve(m, r, L, M)) return 1; } return 0; } int main() { scanf("%s%s", s, t); int n = strlen(s); if (solve(0, n, 0, n)) puts("YES"); else puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; bool f(string a, string b) { string a1, a2, b1, b2; if (a.size() == 0 or b.size() == 0) return false; if (a.size() != b.size()) return false; bool res = (a == b); if ((a.size() % 2 != 0 or b.size() % 2 != 0) and !res) return false; if (res) return true; a1.insert(a1.begin(), a.begin(), a.begin() + a.size() / 2); a2.insert(a2.begin(), a.begin() + a.size() / 2, a.end()); b1.insert(b1.begin(), b.begin(), b.begin() + b.size() / 2); b2.insert(b2.begin(), b.begin() + b.size() / 2, b.end()); if (f(a1, b2) and f(a2, b1)) return true; else if (f(a1, b1) and f(a2, b2)) return true; else return false; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); string a, b; cin >> a >> b; if (f(a, b)) printf("YES"); else printf("NO"); }
#include <bits/stdc++.h> using namespace std; string s1, s2; bool f(string a, string b) { if (a == b) return true; int len1 = a.size(), len2 = b.size(); if (len1 & 1 || len2 & 1) return false; if (len1 == 1) return false; string ta1 = a.substr(0, len1 / 2), ta2 = a.substr(len1 / 2, len1 / 2); string tb1 = b.substr(0, len2 / 2), tb2 = b.substr(len2 / 2, len2 / 2); return (f(ta1, tb2) && f(ta2, tb1)) || (f(ta1, tb1) && f(ta2, tb2)); } int main() { cin >> s1; cin >> s2; if (f(s1, s2)) puts("YES"); else puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; bool equiv(const string& a, const string& b) { static string _a1, _a2, _b1, _b2; if (a == b) return true; if (a.size() % 2) return false; string a1 = a.substr(0, a.size() / 2), a2 = a.substr(a.size() / 2); string b1 = b.substr(0, b.size() / 2), b2 = b.substr(b.size() / 2); _a1 = a1, _a2 = a2; _b1 = b1, _b2 = b2; sort(_a1.begin(), _a1.end()); sort(_a2.begin(), _a2.end()); sort(_b1.begin(), _b1.end()); sort(_b2.begin(), _b2.end()); const bool f1 = (_a1 == _b1 && _a2 == _b2); const bool f2 = (_a1 == _b2 && _a2 == _b1); if (f1) if (equiv(a1, b1) && equiv(a2, b2)) return true; if (f2) if (equiv(a1, b2) && equiv(a2, b1)) return true; return false; } int main() { ios_base::sync_with_stdio(false); string a, b; cin >> a >> b; cout << (equiv(a, b) ? "YES" : "NO") << endl; }
#include <bits/stdc++.h> using namespace std; string solve(string s) { if (s.size() & 1) return s; string s1 = solve(s.substr(0, s.size() / 2)); ; string s2 = solve(s.substr(s.size() / 2)); ; return (s1 < s2 ? s1 + s2 : s2 + s1); } int main() { string s, str; cin >> s >> str; cout << (solve(s) == solve(str) ? "YES" : "NO"); }
#include <bits/stdc++.h> using namespace std; char a[200010], b[200010]; int equi(char *s, char *t, int len) { if (!strncmp(s, t, len)) return 1; else if (len % 2) return 0; else if (equi(s, t + len / 2, len / 2) && equi(s + len / 2, t, len / 2)) return 1; else if (equi(s, t, len / 2) && equi(s + len / 2, t + len / 2, len / 2)) return 1; else return 0; } int main() { scanf("%s%s", a, b); if (equi(a, b, strlen(a))) printf("YES\n"); else printf("NO\n"); return 0; }
#include <bits/stdc++.h> using namespace std; char a[204800], b[204800], c[204800]; void canon(char *p, int len) { if (len & 1) return; len >>= 1; canon(p, len); canon(p + len, len); bool is_rev = false; for (int i = 0; i < len; i++) if (p[i] > p[i + len]) { is_rev = true; break; } else if (p[i] < p[i + len]) break; if (is_rev) { char tmp; for (int i = 0; i < len; i++) { tmp = p[i]; p[i] = p[i + len]; p[i + len] = tmp; } } } int main() { scanf("%s%s", a, b); int len = strlen(a); canon(a, len); canon(b, len); if (strcmp(a, b) == 0) puts("YES"); else puts("NO"); return 0; }
#include <bits/stdc++.h> using namespace std; string smallest(string s) { if (s.length() % 2 == 1) return s; string s1 = smallest(s.substr(0, s.length() / 2)); string s2 = smallest(s.substr(s.length() / 2)); if (s1 < s2) return s1 + s2; else return s2 + s1; } bool solve(string s1, string s2) { for (int i = 0; i < s1.length(); i++) if (s1[i] != s2[i]) return 0; return 1; } int main() { string s1, s2; cin >> s1 >> s2; s1 = smallest(s1); s2 = smallest(s2); if (solve(s1, s2)) cout << "YES\n"; else cout << "NO\n"; }
#include <bits/stdc++.h> using namespace std; long long MOD = 1e9 + 7; long long MAX = 1e17; int itachi[2][26][200001], n, nar1[26], nar2[26], flag[4][26]; string a, b; void help(int id1, int s, int l, int id2) { for (int i = 0; i < 26; ++i) { if (s == 0) flag[id1][i] = itachi[id2][i][s + l - 1]; else flag[id1][i] = itachi[id2][i][s + l - 1] - itachi[id2][i][s - 1]; } } bool verify(int id1, int id2) { for (int i = 0; i < 26; ++i) { if (flag[id1][i] != flag[id2][i]) return 0; } return 1; } bool check(int s1, int s2, int l) { if (l % 2 != 0) { for (int i = 0; i < l; ++i) { if (a[s1 + i] != b[s2 + i]) return 0; } return 1; } else { help(0, s1, l / 2, 0); help(1, s1 + l / 2, l / 2, 0); help(2, s2, l / 2, 1); help(3, s2 + l / 2, l / 2, 1); bool x = (verify(0, 2) and verify(1, 3)); bool y = (verify(0, 3) and verify(1, 2)); if (x) { if (check(s1, s2, l / 2) and check(s1 + l / 2, s2 + l / 2, l / 2)) return 1; } if (y) { if (check(s1, s2 + l / 2, l / 2) and check(s1 + l / 2, s2, l / 2)) return 1; } return 0; } } int main() { ios_base::sync_with_stdio(0); ; cin >> a >> b; n = a.size(); for (int i = 0; i < n; ++i) { int x = a[i] - 'a'; nar1[x]++; for (int j = 0; j < 26; ++j) { itachi[0][j][i] = nar1[j]; } } for (int i = 0; i < n; ++i) { int y = b[i] - 'a'; nar2[y]++; for (int j = 0; j < 26; ++j) { itachi[1][j][i] = nar2[j]; } } if (check(0, 0, n)) { cout << "YES" << '\n'; return 0; ; } cout << "NO" << '\n'; return 0; ; return 0; }
#include <bits/stdc++.h> using namespace std; string s1, s2; bool isEq(int start1, int len1, int start2, int len2) { if (len1 & 1) { for (int i = 0; i < len1; i++) { if (s1[start1 + i] != s2[start2 + i]) return false; } return true; } int mid1 = len1 / 2, mid2 = len2 / 2; int skip1 = len1 % 2, skip2 = len2 % 2; bool result = ((isEq(start1, mid1, start2, mid2) && isEq(start1 + mid1, mid1, start2 + mid2, mid2)) || (isEq(start1, mid1, start2 + mid2, mid2) && isEq(start1 + mid1, mid1, start2, mid2))); return result; } int main() { cin >> s1 >> s2; if (s1.compare(s2) == 0) printf("YES\n"); else { if (isEq(0, s1.length(), 0, s2.length())) printf("YES\n"); else printf("NO\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; string getmin(string st) { int len = st.size(); if (len % 2) return st; string s1 = st.substr(0, len / 2); string s2 = st.substr(len / 2, len / 2); s1 = getmin(s1); s2 = getmin(s2); if (s1 < s2) return s1 + s2; return s2 + s1; } string s, w; int main() { cin >> s >> w; s = getmin(s); w = getmin(w); if (s == w) cout << "YES"; else cout << "NO"; }
#include <bits/stdc++.h> using namespace std; int64_t k = 0; inline bool equals(string& s1, int64_t i1, int64_t j1, string& s2, int64_t i2, int64_t j2) { if (j1 != j2) { return false; } auto x = j1; for (int64_t i = 0; i < x; i++) { if (s1[i1 + i] != s2[i2 + i]) { return false; } } return true; } bool equivilant(string& s1, int64_t i1, int64_t j1, string& s2, int64_t i2, int64_t j2) { if (equals(s1, i1, j1, s2, i2, j2)) { return true; } if (j1 != j2 || j1 % 2 == 1) { return false; } auto x = j1 / 2; if (equivilant(s1, i1, x, s2, i2, x) && equivilant(s1, i1 + x, x, s2, i2 + x, x)) { return true; } if (equivilant(s1, i1, x, s2, i2 + x, x) && equivilant(s1, i1 + x, x, s2, i2, x)) { return true; } return false; } int main() { ios::sync_with_stdio(false); string s1; cin >> s1; string s2; cin >> s2; if (equivilant(s1, 0, s1.size(), s2, 0, s2.size())) { cout << "YES"; } else { cout << "NO"; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 9e18; const double pi = acos(-1.0); const long long M = 1e9 + 7; const long long N = 1e5 + 5; bool equ(string s1, string s2) { if (s1 == s2) return 1; if (s1.size() == 1) return 0; string t1, t2, t3, t4; if ((long long)s1.size() % 2) return 0; long long l = s1.size(); long long ar1[27] = {0}, ar2[27] = {0}, ar3[27] = {0}, ar4[27] = {0}; for (long long i = 0; i < l / 2; i++) { t1 += s1[i]; ar1[s1[i] - 'a']++; t2 += s1[i + l / 2]; ar2[s1[i + l / 2] - 'a']++; t3 += s2[i]; ar3[s2[i] - 'a']++; t4 += s2[i + l / 2]; ar4[s2[i + l / 2] - 'a']++; } long long cnt1(1), cnt2(1), cnt3(1), cnt4(1); for (long long i = 0; i < 26; i++) { if (ar1[i] != ar3[i]) cnt1 = 0; if (ar1[i] != ar4[i]) cnt3 = 0; if (ar2[i] != ar4[i]) cnt2 = 0; if (ar2[i] != ar3[i]) cnt4 = 0; } if (cnt1 && cnt2 && equ(t1, t3) && equ(t2, t4)) return 1; if (cnt3 && cnt4 && equ(t1, t4) && equ(t2, t3)) return 1; return 0; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL); string s1, s2; cin >> s1 >> s2; if (equ(s1, s2)) { cout << "YES" << endl; } else { cout << "NO" << endl; } }
#include <bits/stdc++.h> using namespace std; string f(string a) { int len = a.size(); if (len & 1) return a; int mid = len >> 1; string x = f(a.substr(0, mid)); string y = f(a.substr(mid, mid)); if (x < y) return x + y; else return y + x; } int main() { ios::sync_with_stdio(false); string s, t; cin >> s >> t; if (f(s) == f(t)) cout << "YES" << endl; else cout << "NO" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string s1, s2; string get(string x) { if (x.length() % 2) return x; string t1 = get(x.substr(0, x.length() / 2)); string t2 = get(x.substr(x.length() / 2)); return min(t1, t2) + max(t1, t2); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> s1; cin >> s2; if (get(s1) == get(s2)) cout << "YES"; else cout << "NO"; }