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| using namespace std; | |
| const int MAXN = 1000 + 5; | |
| vector<pair<int,int>> g[MAXN]; // adjacency: (neighbor, edge_id) | |
| vector<pair<int,int>> edges; // 1-based: edges[1..n-1] = (u,v) | |
| int pArr[MAXN]; // token at vertex i | |
| int posArr[MAXN]; // position of token i | |
| int parentArr[MAXN]; // parent in rooted tree | |
| int parentEdgeArr[MAXN]; // edge id to parent | |
| int depthArr[MAXN]; | |
| vector<int> operations; // sequence of edge ids (each is a single-edge matching op) | |
| int N; | |
| void dfs(int u, int par) { | |
| for (auto &pr : g[u]) { | |
| int v = pr.first; | |
| int id = pr.second; | |
| if (v == par) continue; | |
| parentArr[v] = u; | |
| parentEdgeArr[v] = id; | |
| depthArr[v] = depthArr[u] + 1; | |
| dfs(v, u); | |
| } | |
| } | |
| inline void applyEdgeSwap(int eid) { | |
| int u = edges[eid].first; | |
| int v = edges[eid].second; | |
| int a = pArr[u]; | |
| int b = pArr[v]; | |
| pArr[u] = b; | |
| pArr[v] = a; | |
| posArr[a] = v; | |
| posArr[b] = u; | |
| operations.push_back(eid); | |
| } | |
| void star_swap(int x) { | |
| if (x == 1) return; | |
| vector<int> path; | |
| path.reserve(depthArr[x]); | |
| int v = x; | |
| while (v != 1) { | |
| path.push_back(parentEdgeArr[v]); | |
| v = parentArr[v]; | |
| } | |
| reverse(path.begin(), path.end()); | |
| int m = (int)path.size(); | |
| for (int i = 0; i < m; ++i) applyEdgeSwap(path[i]); | |
| for (int i = m - 2; i >= 0; --i) applyEdgeSwap(path[i]); | |
| } | |
| void swap_vertices(int u, int v) { | |
| if (u == v) return; | |
| if (u == 1 || v == 1) { | |
| int k = (u == 1 ? v : u); | |
| star_swap(k); // performs (1, k) | |
| } else { | |
| star_swap(u); | |
| star_swap(v); | |
| star_swap(u); // (1,u)(1,v)(1,u) = (u,v) | |
| } | |
| } | |
| int main() { | |
| ios::sync_with_stdio(false); | |
| cin.tie(nullptr); | |
| int T; | |
| if (!(cin >> T)) return 0; | |
| while (T--) { | |
| cin >> N; | |
| for (int i = 1; i <= N; ++i) g[i].clear(); | |
| edges.assign(N, {0,0}); // index 0 unused | |
| for (int i = 1; i <= N; ++i) { | |
| cin >> pArr[i]; | |
| } | |
| for (int i = 1; i <= N - 1; ++i) { | |
| int u, v; | |
| cin >> u >> v; | |
| edges[i] = {u, v}; | |
| g[u].push_back({v, i}); | |
| g[v].push_back({u, i}); | |
| } | |
| // Build rooted tree at 1 | |
| depthArr[1] = 0; | |
| parentArr[1] = 0; | |
| parentEdgeArr[1] = 0; | |
| dfs(1, 0); | |
| // Build position array | |
| for (int i = 1; i <= N; ++i) { | |
| posArr[pArr[i]] = i; | |
| } | |
| operations.clear(); | |
| operations.reserve(min(6 * N * N, 6000000)); | |
| // Sort permutation using arbitrary transpositions, implemented via tree swaps | |
| for (int i = 1; i <= N; ++i) { | |
| if (pArr[i] != i) { | |
| int j = posArr[i]; // position of token i | |
| swap_vertices(i, j); | |
| } | |
| } | |
| cout << operations.size() << '\n'; | |
| for (int eid : operations) { | |
| cout << 1 << ' ' << eid << '\n'; | |
| } | |
| } | |
| return 0; | |
| } |