제출 #523166

#제출 시각아이디문제언어결과실행 시간메모리
523166qwerasdfzxclSplit the Attractions (IOI19_split)C++14
0 / 100
2086 ms12132 KiB
#include "split.h" #include <bits/stdc++.h> using namespace std; typedef long long ll; struct DSU{ int path[100100]; void init(int n){for (int i=0;i<n;i++) path[i] = i;} int find(int s){ if (s==path[s]) return s; return path[s] = find(path[s]); } bool merge(int s, int v){ s = find(s), v = find(v); if (s==v) return 0; path[s] = v; return 1; } }dsu; int n, a, b, c, sz[100100], par[100100], idx[5]; void dfs(int s, int &cnt, int no, const vector<vector<int>> &adj, int num, vector<int> &ret){ if (!cnt) return; --cnt; ret[s] = num; if (no==-1) sz[s] = 1; for (auto &v:adj[s]) if (v!=no && ret[v]!=num){ if (no==-1) par[v] = s; dfs(v, cnt, no, adj, num, ret); if (no==-1) sz[s] += sz[v]; } } vector<int> solve_tree(const vector<vector<int>> &adj){ vector<int> ret(n); int N = n; dfs(0, N, -1, adj, idx[3], ret); for (int i=1;i<n;i++){ int x = sz[i], y = n - sz[i]; if (a<=x && b<=y){ dfs(i, a, par[i], adj, idx[1], ret); dfs(par[i], b, i, adj, idx[2], ret); return ret; } if (a<=y && b<=x){ dfs(par[i], a, i, adj, idx[1], ret); dfs(i, b, par[i], adj, idx[2], ret); return ret; } } fill(ret.begin(), ret.end(), 0); return ret; } int dist[100100], bp[100100], de = -1, dval = -1; void bfs(int s, const vector<vector<int>> &adj){ bp[s] = -1; fill(dist, dist+n, 1e9); dist[s] = 0; queue<int> q; q.push(s); while(!q.empty()){ int cur = q.front(); q.pop(); for (auto &v:adj[cur]) if (dist[v]==1e9){ dist[v] = dist[cur] + 1; bp[v] = cur; q.push(v); } } int mx = *max_element(dist, dist+n); if (dval<mx) de = s, dval = mx; } vector<int> find_split(int N, int A, int B, int C, vector<int> p, vector<int> q) { n = N; vector<pair<int, int>> tmp; tmp.emplace_back(A, 1); tmp.emplace_back(B, 2); tmp.emplace_back(C, 3); sort(tmp.begin(), tmp.end()); a = tmp[0].first, b = tmp[1].first, c = tmp[2].first; idx[1] = tmp[0].second, idx[2] = tmp[1].second, idx[3] = tmp[2].second; vector<vector<int>> adj0(N, vector<int>()); for (int i=0;i<(int)p.size();i++){ adj0[p[i]].push_back(q[i]); adj0[q[i]].push_back(p[i]); } vector<vector<int>> adj(n); dsu.init(n); for (int i=0;i<n;i++) bfs(i, adj0); bfs(de, adj0); int de2 = max_element(dist, dist+n) - dist; while(bp[de2]!=-1){ adj[de2].push_back(bp[de2]); adj[bp[de2]].push_back(de2); dsu.merge(de2, bp[de2]); de2 = bp[de2]; } for (int i=0;i<(int)p.size();i++) if (dsu.merge(p[i], q[i])){ adj[p[i]].push_back(q[i]); adj[q[i]].push_back(p[i]); } return solve_tree(adj); }
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