File size: 5,667 Bytes
1fd0050 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 | #include <iostream>
#include <vector>
#include <numeric>
#include <algorithm>
#include <map>
using namespace std;
const int MAXN = 1005;
vector<pair<int, int>> adj[MAXN];
int p[MAXN];
int parent[MAXN];
int tin[MAXN], tout[MAXN];
int timer;
int n;
pair<int, int> edges[MAXN];
map<pair<int, int>, int> edge_to_idx;
void dfs_precompute(int v, int p) {
parent[v] = p;
tin[v] = ++timer;
for (auto& edge : adj[v]) {
int to = edge.first;
if (to != p) {
dfs_precompute(to, v);
}
}
tout[v] = ++timer;
}
bool is_in_subtree(int u, int v) {
return tin[u] <= tin[v] && tout[u] >= tout[v];
}
vector<vector<pair<int, int>>> MWM_adj;
vector<int> MWM_visited;
pair<long long, vector<pair<int, int>>> dp[MAXN][2];
void MWM_dfs(int u, int p) {
MWM_visited[u] = 1;
dp[u][0] = {0, {}};
dp[u][1] = {-2e9 - 7, {}};
long long children_sum_val = 0;
vector<pair<int, int>> children_sum_edges;
for (auto& edge : MWM_adj[u]) {
int v = edge.first;
if (v == p) continue;
MWM_dfs(v, u);
long long v_max_val = max(dp[v][0].first, dp[v][1].first);
children_sum_val += v_max_val;
if (dp[v][0].first >= dp[v][1].first) {
children_sum_edges.insert(children_sum_edges.end(), dp[v][0].second.begin(), dp[v][0].second.end());
} else {
children_sum_edges.insert(children_sum_edges.end(), dp[v][1].second.begin(), dp[v][1].second.end());
}
}
dp[u][0] = {children_sum_val, children_sum_edges};
for (auto& edge : MWM_adj[u]) {
int v = edge.first;
int w = edge.second;
if (v == p) continue;
long long v_max_val = max(dp[v][0].first, dp[v][1].first);
long long current_val = (long long)w + dp[v][0].first + (children_sum_val - v_max_val);
if (current_val > dp[u][1].first) {
dp[u][1].first = current_val;
vector<pair<int, int>> new_edges;
new_edges.push_back({u, v});
new_edges.insert(new_edges.end(), dp[v][0].second.begin(), dp[v][0].second.end());
for (auto& other_edge : MWM_adj[u]) {
int ov = other_edge.first;
if (ov == p || ov == v) continue;
if (dp[ov][0].first >= dp[ov][1].first) {
new_edges.insert(new_edges.end(), dp[ov][0].second.begin(), dp[ov][0].second.end());
} else {
new_edges.insert(new_edges.end(), dp[ov][1].second.begin(), dp[ov][1].second.end());
}
}
dp[u][1].second = new_edges;
}
}
}
void solve() {
cin >> n;
for (int i = 1; i <= n; ++i) {
cin >> p[i];
adj[i].clear();
}
edge_to_idx.clear();
for (int i = 1; i < n; ++i) {
int u, v;
cin >> u >> v;
adj[u].push_back({v, i});
adj[v].push_back({u, i});
edges[i] = {u, v};
if (u > v) swap(u,v);
edge_to_idx[{u,v}] = i;
}
timer = 0;
dfs_precompute(1, 0);
vector<vector<int>> operations;
while(true) {
bool sorted = true;
for (int i = 1; i <= n; ++i) {
if (p[i] != i) {
sorted = false;
break;
}
}
if (sorted) break;
MWM_adj.assign(n + 1, vector<pair<int, int>>());
for (int i = 1; i < n; ++i) {
int u = edges[i].first;
int v = edges[i].second;
int u_p, v_c;
if (parent[v] == u) {
u_p = u; v_c = v;
} else {
u_p = v; v_c = u;
}
int weight = 0;
if (p[u_p] != u_p) {
weight += (is_in_subtree(v_c, p[u_p])) ? 1 : -1;
}
if (p[v_c] != v_c) {
weight += (!is_in_subtree(v_c, p[v_c])) ? 1 : -1;
}
if (weight >= 0) {
MWM_adj[u].push_back({v, weight});
MWM_adj[v].push_back({u, weight});
}
}
vector<pair<int, int>> current_matching;
MWM_visited.assign(n + 1, 0);
for (int i = 1; i <= n; ++i) {
if (MWM_adj[i].empty()) {
MWM_visited[i] = 1;
}
}
for (int i = 1; i <= n; ++i) {
if (!MWM_visited[i]) {
MWM_dfs(i, 0);
if (dp[i][0].first >= dp[i][1].first) {
current_matching.insert(current_matching.end(), dp[i][0].second.begin(), dp[i][0].second.end());
} else {
current_matching.insert(current_matching.end(), dp[i][1].second.begin(), dp[i][1].second.end());
}
}
}
if (current_matching.empty()) {
break;
}
vector<int> op_edges;
for (auto& edge_pair : current_matching) {
int u = edge_pair.first;
int v = edge_pair.second;
if (u > v) swap(u,v);
op_edges.push_back(edge_to_idx[{u,v}]);
}
operations.push_back(op_edges);
for (auto& edge_pair : current_matching) {
swap(p[edge_pair.first], p[edge_pair.second]);
}
}
cout << operations.size() << endl;
for (const auto& op : operations) {
cout << op.size();
for (int edge_idx : op) {
cout << " " << edge_idx;
}
cout << endl;
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t;
cin >> t;
while (t--) {
solve();
}
return 0;
} |