Submission #1052744

#TimeUsernameProblemLanguageResultExecution timeMemory
1052744MilosMilutinovicSimurgh (IOI17_simurgh)C++14
0 / 100
906 ms1048576 KiB
#include "simurgh.h" #include <bits/stdc++.h> using namespace std; class dsu { public: vector<int> p; int n; dsu(int _n) : n(_n) { p.resize(n); iota(p.begin(), p.end(), 0); } inline int get(int x) { return (x == p[x] ? x : (p[x] = get(p[x]))); } inline bool unite(int x, int y) { x = get(x); y = get(y); if (x != y) { p[x] = y; return true; } return false; } }; vector<int> find_roads(int n, vector<int> u, vector<int> v) { int m = (int) u.size(); vector<vector<int>> g(n); for (int i = 0; i < m; i++) { g[u[i]].push_back(i); g[v[i]].push_back(i); } dsu d(n); vector<int> tree; for (int i = 0; i < m; i++) { if (d.unite(u[i], v[i])) { tree.push_back(i); } } int cnt = count_common_roads(tree); const int L = 20; vector<vector<int>> pr(n, vector<int>(L)); vector<int> dep(n); vector<int> id(n); function<void(int, int)> Dfs = [&](int x, int px) { dep[x] = dep[px] + 1; pr[x][0] = px; for (int i = 1; i < L; i++) { pr[x][i] = pr[pr[x][i - 1]][i - 1]; } for (int e : g[x]) { int y = (x ^ u[e] ^ v[e]); if (y == px) { continue; } id[y] = e; Dfs(y, x); } }; Dfs(0, 0); auto LCA = [&](int x, int y) { if (dep[x] > dep[y]) { swap(x, y); } for (int i = L - 1; i >= 0; i--) { if (dep[pr[y][i]] >= dep[x]) { y = pr[y][i]; } } if (x == y) { return x; } for (int i = L - 1; i >= 0; i--) { if (pr[x][i] != pr[y][i]) { x = pr[x][i]; y = pr[y][i]; } } return pr[x][0]; }; vector<int> state(m, 2); for (int i : tree) { state[i] = -1; } for (int i = 0; i < m; i++) { if (state[i] != 2) { continue; } vector<int> edges; int z = LCA(u[i], v[i]); for (int x = u[i]; x != z; x = pr[x][0]) { edges.push_back(id[x]); } for (int x = v[i]; x != z; x = pr[x][0]) { edges.push_back(id[x]); } vector<pair<int, int>> a; for (int e : edges) { if (state[e] != -1) { continue; } vector<int> qv(1, i); for (int i : tree) { if (i != e) { qv.push_back(i); } } a.emplace_back(count_common_roads(qv), e); } if (a.empty()) { continue; } for (auto& p : a) { if (p.first == cnt - 1) { state[i] = 0; } if (p.first == cnt + 1) { state[i] = 1; } } if (state[i] == 2) { for (int e : edges) { if (state[e] == -1) { continue; } vector<int> qv(1, i); for (int i : tree) { if (i != e) { qv.push_back(i); } } state[i] = (state[e] ^ (cnt != count_common_roads(qv) ? 1 : 0)); break; } if (state[i] == 2) { state[i] = 0; } } for (auto& p : a) { state[p.second] = (state[i] ^ (cnt != p.first ? 1 : 0)); } } vector<int> deg(n); for (int i = 0; i < n; i++) { dsu d(n); vector<int> qv; for (int e : g[i]) { qv.push_back(e); d.unite(u[e], v[e]); } int ft = 0; for (int e : tree) { if (d.unite(u[e], v[e])) { qv.push_back(e); ft += state[e]; } } deg[i] = count_common_roads(qv) - ft; } vector<int> res; for (int i = 0; i < n; i++) { int ptr = 0; for (int foo = 0; foo < deg[i]; foo++) { int low = ptr, high = (int) g[i].size() - 1, p = 0; while (low <= high) { int mid = (low + high) >> 1; vector<int> qv; dsu d(n); for (int j = ptr; j <= mid; j++) { qv.push_back(g[i][j]); d.unite(u[g[i][j]], v[g[i][j]]); } int ft = 0; for (int e : tree) { if (d.unite(u[e], v[e])) { qv.push_back(e); ft += state[e]; } } if (count_common_roads(qv) - ft > 0) { p = mid; high = mid - 1; } else { low = mid + 1; } } res.push_back(g[i][p]); ptr = p + 1; } } sort(res.begin(), res.end()); res.erase(unique(res.begin(), res.end()), res.end()); return res; }
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