#include using namespace std; #ifdef LOCAL #include "debug.hpp" #else #define debug(...) 42 #endif #define PII pair #define vec vector #define str string #define fi first #define se second #define all(a) (a).begin(), (a).end() #define SZ(x) static_cast((x).size()) using db = double; using ll = long long; struct DSU { vec p; DSU(int _) : p(_ + 1) { iota(all(p), 0); } int f(int _) { return _ == p[_] ? _ : p[_] = f(p[_]); } bool same(int u, int v) { return f(u) == f(v); } bool unite(int u, int v) { u = f(u), v = f(v); if (u == v) return false; return p[u] = v, true; } }; tuple> ManMST(vec xs, vec ys) { vec id(SZ(xs)); iota(all(id), 0); vec> edges; for (int s = 0; s < 2; s++) { for (int t = 0; t < 2; t++) { sort(all(id), [&](int i, int j) { return xs[i] + ys[i] < xs[j] + ys[j]; }); map sweep; for (int i : id) { for (auto it = sweep.lower_bound(-ys[i]); it != sweep.end(); it = sweep.erase(it)) { int j = it->se; if (xs[i] - xs[j] < ys[i] - ys[j]) break; int w = abs(xs[i] - xs[j]) + abs(ys[i] - ys[j]); edges.emplace_back(w, i, j); } sweep[-ys[i]] = i; } swap(xs, ys); } for (auto& x : xs) x = -x; } ll mst = 0; DSU dsu = DSU(SZ(xs)); vec P; sort(all(edges)); for (auto [w, u, v] : edges) { if (dsu.unite(u, v)) { mst += w, P.emplace_back(u, v); } } return {mst, P}; } const int INF = (1 << 30) - 1; void SingleTest(int TestCase) { int n; cin >> n; vec xs(n), ys(n); for (int i = 0; i < n; i++) { cin >> xs[i] >> ys[i]; } auto [mst, P] = ManMST(xs, ys); vector> v(n); for (auto [a, b] : P) { v[a].push_back(b); v[b].push_back(a); } int max_x = -INF, min_x = INF, max_y = -INF, min_y = INF; for (int i = 0; i < n; i++) { int x = xs[i] + ys[i], y = xs[i] - ys[i]; max_x = max(max_x, x); min_x = min(min_x, x); max_y = max(max_y, y); min_y = min(min_y, y); } int ans = INF; for (int i = 0; i < n; i++) { int mini = INF; for (int e : v[i]) { mini = min(mini, abs(xs[i] - xs[e]) + abs(ys[i] - ys[e])); } int x = xs[i] + ys[i], y = xs[i] - ys[i]; int maxi = max({abs(max_x - x), abs(min_x - x), abs(max_y - y), abs(min_y - y)}); ans = min(ans, maxi - mini); } cout << ans << '\n'; } void init() {} int main() { cin.tie(nullptr)->sync_with_stdio(false); // cout << fixed << setprecision(10); int T = 1, TestCase = 0; // cin >> T; for (init(); T--;) SingleTest(++TestCase); return 0; }