#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 pint = pair; 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=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template 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; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif 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); } dbg(U); dbg(V); lint ng = -1, ok = 1LL << 32; 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'; }