Submission #381001

#TimeUsernameProblemLanguageResultExecution timeMemory
381001alradDrzava (COCI15_drzava)C++17
72 / 160
1095 ms10784 KiB
#include <bits/stdc++.h> using namespace std; using ull = unsigned long long; using ld = long double; using ll = long long; /* #pragma comment(linker, "/STACK:256000000") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("Ofast") #pragma GCC optimize("-O3") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") */ template <class T> inline T gcd(T a , T b) { return !a ? b : gcd(b % a , a); } template <class T> inline T lcm(T a , T b) { return (a * b) / gcd(a , b) ; } mt19937 rnd(time(0)); #define all(x) x.begin(), x.end() #define debug(x) { cerr << #x << " = " << x << endl; } const int N = 50001; const int MAXK = 30; const int BL = 100; int n, K; struct Point { int x, y; int val, id; Point(int _x, int _y, int _val, int _id) { x = _x; y = _y; val = _val; id = _id; } }; bool comp(const Point &p1, const Point &p2) { return (p1.x != p2.x ? p1.x < p2.x : p1.y < p2.y); } ll dist(const Point &p1, const Point &p2) { return ((p1.x - p2.x) * 1ll * (p1.x - p2.x) + (p1.y - p2.y) * 1ll * (p1.y - p2.y)); } struct Edge { int u, v; long long W; Edge(int _u, int _v, ll _w) { u = _u; v = _v; W = _w; } }; bool comp1(const Edge &e1, const Edge &e2) { return (e1.W < e2.W); } vector<Point> pts; bool ost[N][MAXK]; vector<int> parent(N, -1); vector<vector<int>> components(N, vector<int>()); int safe(int x) { return (x < 0 ? x + K : x); } int findSet(int v) { return parent[v]; } void upd(int v, int val) { vector<bool> cnt(K, false); for (int i = 0; i < K; i++) { if (ost[v][i] || val == i || ost[v][safe(i - val)]) { cnt[i] = true; } else { cnt[i] = false; } } for (int i = 0; i < K; i++) { ost[v][i] = cnt[i]; } return; } void unite(int a, int b) { a = findSet(a); b = findSet(b); if (a != b) { // b -> small if ((int)components[a].size() < (int)components[b].size()) { swap(a, b); } for (int cur : components[b]) { parent[cur] = a; components[a].push_back(cur); upd(a, pts[cur].val); } components[b].clear(); } } void solve() { cin >> n >> K; for (int i = 0; i < n; i++) { int x, y, val; cin >> x >> y >> val; val %= K; pts.push_back(Point(x, y, val, i)); } sort(all(pts), comp); vector<vector<int>> close(n, vector<int>()); for (int i = 0; i < n; i++) { set<pair<long long, int>> q; for (int j = max(i - BL, 0); j < i; j++) { q.insert({dist(pts[i], pts[j]), j}); } for (int j = i + 1; j < min(n, i + BL); j++) { q.insert({dist(pts[i], pts[j]), j}); } for (auto it : q) { if ((int)close[i].size() >= K) { break; } close[i].push_back(it.second); } } // for (int i = 0; i < n; i++) { // cerr << "For pts #" << i + 1 << " "; // for (auto it : close[i]) { // cout << it + 1 << " "; // } // cout << '\n'; // } for (int i = 0; i < n; i++) { parent[i] = i; components[i].push_back(i); ost[i][pts[i].val] = true; } vector<Edge> edges; for (int i = 0; i < n; i++) { for (int j : close[i]) { edges.push_back(Edge(i, j, dist(pts[i], pts[j]))); } } sort(all(edges), comp1); for (auto e : edges) { unite(e.u, e.v); if (ost[findSet(e.u)][0]) { cout << fixed << setprecision(3) << sqrt(e.W) << '\n'; return; } } assert(false); return; } signed main() { ios_base :: sync_with_stdio(0); cin.tie(0) , cout.tie(0); int t = 1; while (t--) { solve(); } return 0; }
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