#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } int main() { int N; cin >> N; vector X(N), Y(N), U(N), V(N); REP(i, N) { cin >> X.at(i) >> Y.at(i); U.at(i) = X.at(i) + Y.at(i); V.at(i) = X.at(i) - Y.at(i); } lint ng = -1, ok = 2e9; constexpr lint inf = 1LL << 60; while (ok - ng > 1) { const lint mid = (ok + ng) / 2; auto gen_rec = [&](int S, lint ulo, lint uhi, lint vlo, lint vhi) -> tuple { lint ul, ur, vl, vr; if (S & 1) { ul = ulo, ur = ulo + mid; } else { ul = uhi - mid, ur = uhi; } if (S & 2) { vl = vlo, vr = vlo + mid; } else { vl = vhi - mid, vr = vhi; } return {ul, ur, vl, vr}; }; bool found = false; const lint ulo = *min_element(ALL(U)), uhi = *max_element(ALL(U)); const lint vlo = *min_element(ALL(V)), vhi = *max_element(ALL(V)); REP(tp1, 4) { const auto [ul1, ur1, vl1, vr1] = gen_rec(tp1, ulo, uhi, vlo, vhi); vector rem_uvs; REP(i, N) { const lint u = U.at(i), v = V.at(i); if (ul1 <= u and u <= ur1 and vl1 <= v and v <= vr1) continue; rem_uvs.emplace_back(u, v); } if (rem_uvs.empty()) { found = true; break; } const lint ulo = min_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.first < b.first; })->first; const lint uhi = max_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.first < b.first; })->first; const lint vlo = min_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.second < b.second; })->second; const lint vhi = max_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.second < b.second; })->second; REP(tp2, 4) { const auto [ul2, ur2, vl2, vr2] = gen_rec(tp2, ulo, uhi, vlo, vhi); lint badulo = inf, baduhi = -inf, badvlo = inf, badvhi = -inf; for (auto [u, v] : rem_uvs) { if (ul1 <= u and u <= ur1 and vl1 <= v and v <= vr1) continue; if (ul2 <= u and u <= ur2 and vl2 <= v and v <= vr2) continue; chmin(badulo, u), chmax(baduhi, u); chmin(badvlo, v), chmax(badvhi, v); } if (baduhi - badulo <= mid and badvhi - badvlo <= mid) found = true; } } if (found) { ok = mid; } else { ng = mid; } } cout << ok << '\n'; }