#include #include using namespace std; using ll = long long; template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } const ll linf = 1e15; ll op(ll a, ll b){ return min(a,b); } ll e(){ return linf; } vector min_dist(int n, vector xs, vector ys){ vector>> xys(n); for (int i = 0; i < n; i++){ xys[xs[i]].emplace_back(ys[i],i); } atcoder::segtree lseg(n), rseg(n); vector ans(n,linf); for (ll x = 0; x < n; x++){ sort(xys[x].begin(),xys[x].end()); for (auto [y, i] : xys[x]){ ll le = lseg.prod(0,y) + x + y; ll ri = rseg.prod(y,n) + x - y; chmin(ans[i],min(le,ri)); lseg.set(y,-x-y); rseg.set(y,-x+y); } } return ans; } int main(){ int n; cin >> n; ll pma = -linf, pmi = linf, mma = -linf, mmi = linf; vector xs(n), ys(n); for (int i = 0; i < n; i++){ cin >> xs[i] >> ys[i]; xs[i]--, ys[i]--; chmax(pma,xs[i]+ys[i]); chmin(pmi,xs[i]+ys[i]); chmax(mma,xs[i]-ys[i]); chmin(mmi,xs[i]-ys[i]); } vector mas(n,-linf), mis(n,linf); vector ul = min_dist(n,xs,ys); for (int i = 0; i < n; i++){ ll p = xs[i]+ys[i]; ll m = xs[i]-ys[i]; chmax(mas[i],max(pma-p,p-pmi)); chmax(mas[i],max(mma-m,m-mmi)); chmin(mis[i],ul[i]); xs[i] = n-1-xs[i]; ys[i] = n-1-ys[i]; } vector dr = min_dist(n,xs,ys); ll ans = linf; for (int i = 0; i < n; i++){ chmin(mis[i],dr[i]); chmin(ans,mas[i]-mis[i]); } cout << ans << endl; }