#ifndef LOCAL #define FAST_IO #endif // ============ #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER2(i, n) for (i32 i = (i32)(n)-1; i >= 0; --i) #define PER3(i, m, n) for (i32 i = (i32)(n)-1; i >= (i32)(m); --i) #define PER(...) OVERRIDE(__VA_ARGS__, PER3, PER2)(__VA_ARGS__) #define ALL(x) begin(x), end(x) #define LEN(x) (i32)(x.size()) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; using pi = pair; using pl = pair; template using V = vector; template using VV = V>; template using VVV = V>>; template using VVVV = V>>>; template using PQR = priority_queue, greater>; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template i32 lob(const V &arr, const T &v) { return (i32)(lower_bound(ALL(arr), v) - arr.begin()); } template i32 upb(const V &arr, const T &v) { return (i32)(upper_bound(ALL(arr), v) - arr.begin()); } template V argsort(const V &arr) { V ret(arr.size()); iota(ALL(ret), 0); sort(ALL(ret), [&](i32 i, i32 j) -> bool { if (arr[i] == arr[j]) { return i < j; } else { return arr[i] < arr[j]; } }); return ret; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; void scan(char &x) { cin >> x; } void scan(u32 &x) { cin >> x; } void scan(u64 &x) { cin >> x; } void scan(i32 &x) { cin >> x; } void scan(i64 &x) { cin >> x; } void scan(string &x) { cin >> x; } template void scan(V &x) { for (T &ele : x) { scan(ele); } } void read() {} template void read(Head &head, Tail &...tail) { scan(head); read(tail...); } #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__); #define U32(...) \ u32 __VA_ARGS__; \ read(__VA_ARGS__); #define U64(...) \ u64 __VA_ARGS__; \ read(__VA_ARGS__); #define I32(...) \ i32 __VA_ARGS__; \ read(__VA_ARGS__); #define I64(...) \ i64 __VA_ARGS__; \ read(__VA_ARGS__); #define STR(...) \ string __VA_ARGS__; \ read(__VA_ARGS__); #define VEC(type, name, size) \ V name(size); \ read(name); #define VVEC(type, name, size1, size2) \ VV name(size1, V(size2)); \ read(name); // ============ #ifdef DEBUGF #else #define DBG(...) (void)0 #endif bool is_ok(V x, V y, i64 d, i32 c) { if (x.empty()) { return true; } if (c == 0) { return false; } auto test = [&](i64 xl, i64 yl) -> bool { V nx, ny; REP(i, LEN(x)) { if (x[i] < xl || xl + d < x[i] || y[i] < yl || yl + d < y[i]) { nx.push_back(x[i]); ny.push_back(y[i]); } } return is_ok(nx, ny, d, c - 1); }; i64 xmn = *min_element(ALL(x)); i64 xmx = *max_element(ALL(x)); i64 ymn = *min_element(ALL(y)); i64 ymx = *max_element(ALL(y)); return test(xmn, ymn) || test(xmn, ymx - d) || test(xmx - d, ymn) || test(xmx - d, ymx - d); } void solve() { I32(n); V x(n), y(n); REP(i, n) { I64(a, b); x[i] = a + b; y[i] = a - b; } i64 ok = 2 * INF64, ng = -1; while (ok - ng > 1) { i64 mid = (ok + ng) / 2; if (is_ok(x, y, mid, 3)) { ok = mid; } else { ng = mid; } } cout << ok << '\n'; } int main() { i32 t = 1; // cin >> t; while (t--) { solve(); } }