Submission #129779

#TimeUsernameProblemLanguageResultExecution timeMemory
129779forestryksParalelogrami (COCI17_paralelogrami)C++14
98 / 140
11 ms2040 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pii = pair<int, int>; using pll = pair<ll, ll>; #define rep(i, n) for (int (i) = 0; (i) < (n); ++(i)) #define all(x) (x).begin(), (x).end() #define f first #define s second #define FAST_IO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); #define left left123 #define right right123 struct pt { ll x, y; int id = 0; }; ll dot(const pt &a, const pt &b) { return a.x * b.x + a.y * b.y; } ll cross(const pt &a, const pt &b) { return a.x * b.y - a.y * b.x; } pt operator-(const pt &a, const pt &b) { return {a.x - b.x, a.y - b.y}; } pt operator+(const pt &a, const pt &b) { return {a.x + b.x, a.y + b.y}; } pt get(const pt &a, const pt &b) { return b - a; } ll sig(ll x) { if (x < 0) return -1; if (x > 0) return 1; return 0; } bool bet(const pt &a, const pt &b, const pt &c) { if (cross(a, b) >= 0 && cross(b, c) >= 0) return true; if (cross(a, b) <= 0 && cross(b, c) <= 0) return true; return false; } pt rot(const pt &a, const pt &b, const pt &c) { pt r = a + b - c; r.id = c.id; return r; } bool operator<(const pt &a, const pt &b) { if (a.x == b.x) return a.y < b.y; return a.x < b.x; } bool operator==(const pt &a, const pt &b) { return (a.x == b.x && a.y == b.y); } const int MAXN = 1000; int n; pt a[MAXN]; vector<tuple<int, int, int>> ans; vector<pt> bfs() { vector<pt> bg = {a[0], a[1], a[2]}; queue<vector<pt>> q; map<vector<pt>, pair<vector<pt>, int>> p; q.push(bg); p[bg] = {{}, -1}; while (!q.empty()) { // cout << "ok" << endl; auto t = q.front(); q.pop(); // cout << t[0].x << ' ' << t[0].y << ' ' << t[1].x << ' ' << t[1].y << ' ' << t[2].x << ' ' << t[2].y << endl; if (max(t[0].x, max(t[1].x, t[2].x)) < -10) continue; if (max(t[0].y, max(t[1].y, t[2].y)) < -10) continue; if (min(t[0].x, min(t[1].x, t[2].x)) >= 5 && min(t[0].y, min(t[1].y, t[2].y)) >= 5) { auto v = t; while (true) { int i = p[t].s; // cout << i << endl; if (i == -1) break; ans.push_back({(i + 1) % 3, (i + 2) % 3, i}); t = p[t].f; } reverse(all(ans)); return v; } rep(i, 3) { auto nt = t; nt[i] = rot(nt[(i + 1) % 3], nt[(i + 2) % 3], nt[i]); if (p.find(nt) == p.end()) { p[nt] = {t, i}; q.push(nt); } } } assert(false); } int main() { FAST_IO; bool ok = false, bad = false; cin >> n; rep(i, n) { cin >> a[i].x >> a[i].y; a[i].id = i; if (a[i].x < 0 || a[i].y < 0) { bad = true; } } if (!bad) { cout << 0 << endl; return 0; } for (int i = 2; i < n; ++i) { if (cross(get(a[0], a[i]), get(a[1], a[i])) != 0) { swap(a[2], a[i]); ok = true; break; } } if (!ok) { cout << -1 << endl; return 0; } auto t = bfs(); for (int i = 3; i < n; ++i) { if (a[i].x >= 0 && a[i].y >= 0) { continue; } if (cross(get(a[i], a[0]), get(a[i], a[1])) == 0) { ans.push_back({0, 2, i}); } else { ans.push_back({0, 1, i}); } } assert(ans.size() <= 2500); cout << ans.size() << '\n'; for (auto it : ans) { int i, j, k; tie(i, j, k) = it; cout << a[i].id + 1 << ' ' << a[j].id + 1 << ' ' << a[k].id + 1 << '\n'; } }
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