#include using namespace std; using ll = long long; namespace internal_scc{ template struct csr { std::vector start; std::vector elist; csr(int n, const std::vector>& edges) : start(n + 1), elist(edges.size()) { for (auto e : edges) { start[e.first + 1]++; } for (int i = 1; i <= n; i++) { start[i] += start[i - 1]; } auto counter = start; for (auto e : edges) { elist[counter[e.first]++] = e.second; } } }; struct scc_graph { public: scc_graph(int n) : _n(n) {} int num_vertices() { return _n; } void add_edge(int from, int to) { edges.push_back({from, {to}}); } std::pair> scc_ids() { auto g = csr(_n, edges); int now_ord = 0, group_num = 0; std::vector visited, low(_n), ord(_n, -1), ids(_n); visited.reserve(_n); auto dfs = [&](auto self, int v) -> void { low[v] = ord[v] = now_ord++; visited.push_back(v); for (int i = g.start[v]; i < g.start[v + 1]; i++) { auto to = g.elist[i].to; if (ord[to] == -1) { self(self, to); low[v] = std::min(low[v], low[to]); } else { low[v] = std::min(low[v], ord[to]); } } if (low[v] == ord[v]) { while (true) { int u = visited.back(); visited.pop_back(); ord[u] = _n; ids[u] = group_num; if (u == v) break; } group_num++; } }; for (int i = 0; i < _n; i++) { if (ord[i] == -1) dfs(dfs, i); } for (auto& x : ids) { x = group_num - 1 - x; } return {group_num, ids}; } std::vector> scc() { auto ids = scc_ids(); int group_num = ids.first; std::vector counts(group_num); for (auto x : ids.second) counts[x]++; std::vector> groups(ids.first); for (int i = 0; i < group_num; i++) { groups[i].reserve(counts[i]); } for (int i = 0; i < _n; i++) { groups[ids.second[i]].push_back(i); } return groups; } private: int _n; struct edge { int to; }; std::vector> edges; }; } struct scc_graph { public: scc_graph() : internal(0) {} scc_graph(int n) : internal(n) {} void add_edge(int from, int to) { int n = internal.num_vertices(); assert(0 <= from && from < n); assert(0 <= to && to < n); internal.add_edge(from, to); } std::vector> scc() { return internal.scc(); } private: internal_scc::scc_graph internal; }; int main(){ ios::sync_with_stdio(false); cin.tie(0); int T; cin >> T; while(T--){ int n; cin >> n; vector a(n), b(n); for(auto &&v : a) cin >> v, v--; for(auto &&v : b) cin >> v, v--; vector> g(n); vector par(n, -1), depth(n); scc_graph g2(n); for(int i = 0; i < n; i++){ if(a[i] != b[i]){ g2.add_edge(i, a[i]); g[a[i]].emplace_back(i); par[i] = a[i]; } } if(g2.scc().size() != n){ cout << "No" << '\n'; continue; } priority_queue> pq; vector tmp; bool flag = true; function dfs = [&](int v, int p){ depth[v] = tmp.size(); if(p != -1){ for(int j = tmp.size() - 1; j >= 0; j--){ if(tmp[j] == b[j]){ pq.emplace(j, v); break; } if(j == 0){ flag = false; break; } } } tmp.emplace_back(a[v]); for(auto &&u : g[v]){ if(u == p) continue; dfs(u, v); } tmp.pop_back(); }; for(int i = 0; i < n; i++){ if(par[i] == -1) dfs(i, -1); } if(!flag){ cout << "No" << '\n'; continue; } vector rute; while(!pq.empty()){ int d, v, fr; tie(d, v) = pq.top(); pq.pop(); fr = v; while(v != -1){ if(a[v] == b[fr]) break; rute.emplace_back(v); v = par[v]; } if(v == -1){ flag = false; break; } if(depth[v] == d){ while(!rute.empty()){ a[rute.back()] = b[fr]; rute.pop_back(); } }else{ pq.emplace(depth[v], fr); } } if(!flag){ cout << "No" << '\n'; continue; } cout << (a == b ? "Yes" : "No") << '\n'; } }