#include using namespace std; using ll = long long; struct dsu { public: int csz; dsu() : _n(0) {} dsu(int n) : _n(n), csz(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); csz--; parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } private: int _n; // root node: -1 * component size // otherwise: parent std::vector parent_or_size; }; vector> manhattan_mst(vector xs, vector ys) { assert(xs.size() == ys.size()); vector> ret; int n = (int) xs.size(); vector< int > ord(n); iota(ord.begin(), ord.end(), 0); for(int s = 0; s < 2; s++) { for(int t = 0; t < 2; t++) { auto cmp = [&](int i, int j) -> bool { return xs[i] + ys[i] < xs[j] + ys[j]; }; sort(ord.begin(), ord.end(), cmp); map< int, int > idx; for(int i:ord) { for(auto it = idx.lower_bound(-ys[i]); it != idx.end(); it = idx.erase(it)) { int j = it->second; if(xs[i] - xs[j] < ys[i] - ys[j]) break; ret.emplace_back(i, j, abs(xs[i] - xs[j]) + abs(ys[i] - ys[j])); } idx[-ys[i]] = i; } swap(xs, ys); } for(int i = 0; i < n; i++) xs[i] *= -1; } return ret; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int T; cin >> T; while(T--){ int N, L; cin >> N >> L; vector x(N), y(N); for(int i = 0; i < N; i++){ cin >> x[i] >> y[i]; } dsu uf(N); auto edge = manhattan_mst(x, y); sort(edge.begin(), edge.end(), [&](tuple lhs, tuple rhs){ return get<2>(lhs) < get<2>(rhs); }); vector> g(N); for(auto [u, v, c] : edge){ if(uf.same(u, v)) continue; uf.merge(u, v); g[u].push_back(v); g[v].push_back(u); } vector> ans; auto dfs = [&](auto dfs, int v, int p) -> void { ans.emplace_back(x[v], y[v]); for(auto u : g[v]){ if(u == p) continue; dfs(dfs, u, v); } }; dfs(dfs, 0, -1); ll d = 0; for(int i = 0; i + 1 < N; i++){ d += abs(ans[i].first - ans[i + 1].first) + abs(ans[i].second - ans[i + 1].second); } cout << N; for(auto [x, y] : ans) cout << x << ' ' << y << '\n'; } }