Submission #1128691

#TimeUsernameProblemLanguageResultExecution timeMemory
1128691_callmelucianNice sequence (IZhO18_sequence)C++17
76 / 100
2096 ms57464 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef pair<ll,ll> pl; typedef pair<int,int> pii; typedef tuple<int,int,int> tpl; #define all(a) a.begin(), a.end() #define filter(a) a.erase(unique(all(a)), a.end()) const int mn = 4e5 + 1; namespace graph { vector<int> adj[mn], rev[mn], topo; stack<int> st; int num[mn], low[mn], timeDfs; bool del[mn], containCycle; void dfs (int u, int lim) { num[u] = low[u] = ++timeDfs; st.push(u); for (int v : adj[u]) { if (del[v] || v > lim) continue; if (!num[v]) dfs(v, lim), low[u] = min(low[u], low[v]); else low[u] = min(low[u], num[v]); } if (num[u] == low[u]) { int cur = 0, sz = 0; do { cur = st.top(); st.pop(); del[cur] = 1, sz++; } while (cur != u); if (sz > 1) containCycle = 1; topo.push_back(u); } } void resetData (int n) { fill(num, num + n + 1, 0); fill(low, low + n + 1, 0); fill(del, del + n + 1, 0); while (st.size()) st.pop(); timeDfs = containCycle = 0, topo.clear(); } void resetGraph (int n) { for (int i = 0; i <= n; i++) adj[i].clear(), rev[i].clear(); resetData(n); } bool detectCycle (int n) { for (int i = 1; i <= n; i++) if (!num[i]) dfs(i, n); if (containCycle) return 1; return reverse(all(topo)), 0; } void addEdge (int a, int b) { adj[a].push_back(b); rev[b].push_back(a); } }; int curConstruct[mn]; bool ok (int sz, int n, int m, bool constructing) { if (graph::detectCycle(sz)) return graph::resetData(sz), 0; if (!constructing) return graph::resetData(sz), 1; // compute each node's level for (int u : graph::topo) { curConstruct[u] = 0; for (int v : graph::rev[u]) curConstruct[u] = max(curConstruct[u], curConstruct[v] + 1); } for (int i = 1; i <= sz; i++) { if (curConstruct[i - 1] < curConstruct[i]) graph::addEdge(i - 1, i); else graph::addEdge(i, i - 1); } graph::resetData(sz); graph::detectCycle(sz); // construct solution for (int u : graph::topo) { curConstruct[u] = 0; for (int v : graph::rev[u]) curConstruct[u] = max(curConstruct[u], curConstruct[v] + 1); } graph::resetData(sz); return 1; } void solve() { int n, m; cin >> n >> m; bool swapped = 0; if (n < m) swapped = 1, swap(n, m); int sz = (n << 1); for (int i = 0; i <= sz; i++) { if (i + m <= sz) graph::addEdge(i, i + m); if (i + n <= sz) graph::addEdge(i + n, i); } int ans = 0; for (int mask = 1 << 18; mask > 0; mask >>= 1) { if ((ans | mask) <= sz && ok(ans | mask, n, m, 0)) ans |= mask; } ok(ans, n, m, 1); // retrieve information (in case last binary search round is failed) cout << ans << "\n"; for (int i = 1; i <= ans; i++) cout << (curConstruct[i] - curConstruct[i - 1]) * (swapped ? -1 : 1) << " "; cout << "\n"; graph::resetGraph(sz); } int main() { ios::sync_with_stdio(0); cin.tie(0); int TC; cin >> TC; while (TC--) solve(); return 0; }
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