Submission #155217

#TimeUsernameProblemLanguageResultExecution timeMemory
155217KCSCDrzava (COCI15_drzava)C++14
56 / 160
1078 ms10656 KiB
#include <bits/stdc++.h> using namespace std; const int DIM = 50005; const int MOD = 96797; const int CNS = 1000000007; const double EPS = 0.00001; int fth[DIM], msk[DIM]; vector<int> hsh[MOD]; map<pair<int, int>, int> mmp; struct Point { int x, y, c; } pts[DIM]; int _(pair<int, int> pr) { return (1LL * pr.first % MOD * CNS + pr.second) % MOD; } inline int getRoot(int x) { while (fth[x] > 0) x = fth[x]; return x; } inline int sign(double x, double y) { if (fabs(x - y) < EPS) return 0; return (x < y ? -1 : 1); } int _k; bool unite(int x, int y, double v) { if (sign(hypot(abs(pts[x].x - pts[y].x), abs(pts[x].y - pts[y].y)), v * 2) > 0) return false; x = getRoot(x); y = getRoot(y); if (x == y) return false; if (fth[x] > fth[y]) swap(x, y); fth[x] += fth[y]; fth[y] = x; for (int i = 0; i < _k; ++i) { if ((msk[y] >> i) & 1) { msk[x] |= ((1LL * msk[x]) << i) | (((1LL * msk[x]) << i) >> _k); msk[x] &= (1 << _k) - 1; } } if (msk[x] & 1) return true; return false; } bool solve(int n, int k, double v) { mmp.clear(); v /= 2; for (int i = 1; i <= n; ++i) { pair<int, int> sq = make_pair(pts[i].x / v, pts[i].y / v); if (++mmp[sq] == k) return true; } for (int i = 0; i < MOD; ++i) hsh[i].clear(); for (int i = 1; i <= n; ++i) { fth[i] = -1; msk[i] = (1 << pts[i].c); } for (int i = 1; i <= n; ++i) { pair<int, int> sq = make_pair(pts[i].x / v, pts[i].y / v); for (int d1 = -3; d1 <= 3; ++d1) { for (int d2 = -3; d2 <= 3; ++d2) { pair<int, int> nsq = make_pair(max(0, sq.first + d1), max(0, sq.second + d2)); for (int j : hsh[_(nsq)]) if (unite(i, j, v)) return true; } } hsh[_(sq)].push_back(i); } return false; } inline bool cmp(Point p1, Point p2) { if (p1.x != p2.x) return p1.x < p2.x; return p1.y < p2.y; } int main(void) { // freopen("drzava.in", "r", stdin); // freopen("drzava.out", "w", stdout); int n, k; cin >> n >> k; _k = k; for (int i = 1; i <= n; ++i) { cin >> pts[i].x >> pts[i].y >> pts[i].c; pts[i].c %= k; } sort(pts + 1, pts + n + 1, cmp); double le = 0, ri = CNS * 2; for (int i = 1; i <= 50; ++i) { double md = (le + ri) / 2; if (solve(n, k, md)) ri = md; else le = md; } cout << setprecision(3) << fixed << le; return 0; }
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