#include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } struct UnionFind{ vector par; vector edg; UnionFind(int N) : par(N), edg(N){ for(int i = 0; i < N; ++i){ par[i] = -1; edg[i] = 0; } } int root(int x){ if(par[x] < 0) return x; return par[x] = root(par[x]); } void unite(int x, int y){ int rx = root(x); int ry = root(y); if(rx == ry){ edg[rx]++; return; } par[ry] = par[rx] + par[ry]; par[rx] = ry; edg[ry] += edg[rx] + 1; } bool same(int x, int y){ int rx = root(x); int ry = root(y); return rx == ry; } long long size(int x){ return -par[root(x)]; } long long edge(int x){ return edg[root(x)]; } }; template vector> manhattanMST(vector x, vector y){ int n = x.size(); vector> edge; edge.reserve(4 * n); vector idx(n); iota(idx.begin(), idx.end(), 0); for(int s = 0; s < 2; ++s){ for(int t = 0; t < 2; ++t){ sort(idx.begin(), idx.end(), [&](const int i, const int j) { return x[i] + y[i] < x[j] + y[j]; }); map> map; for(const int i : idx){ for(auto iter = map.lower_bound(y[i]); iter != map.end(); iter = map.erase(iter)){ const int j = iter->second; const T dx = x[i] - x[j]; const T dy = y[i] - y[j]; if(dy > dx) break; edge.emplace_back(dx + dy, i, j); } map[y[i]] = i; } swap(x, y); } for(int i = 0; i < n; ++i) { x[i] *= -1; } } sort(edge.begin(), edge.end()); UnionFind dsu(n); vector> used; used.reserve(n - 1); for(const auto& [c, i, j] : edge){ if(!dsu.same(i, j)){ used.emplace_back(i, j); dsu.unite(i, j); } } return used; } ll n; vll x, y; void input(){ in(n); x.resize(n); y.resize(n); rep(i, n) in(x[i], y[i]); } void solve(){ vll x2(n), y2(n); rep(i, n){ x2[i] = x[i] + y[i]; y2[i] = x[i] - y[i]; } ll mnx = min(x2), mxx = max(x2), mny = min(y2), mxy = max(y2); vector> mst = manhattanMST(x, y); vector G(n); rep(i, n - 1){ auto [u, v] = mst[i]; G[u].push_back(v); G[v].push_back(u); } ll ans = INF; rep(i, n){ ll mx = max({abs(x2[i] - mnx), abs(x2[i] - mxx), abs(y2[i] - mny), abs(y2[i] - mxy)}); ll mn = INF; for(auto u : G[i]){ chmin(mn, abs(x[i] - x[u]) + abs(y[i] - y[u])); } chmin(ans, mx - mn); } out(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }