#if __INCLUDE_LEVEL__ == 0 #include __BASE_FILE__ namespace { void solve() { int n; scan(n); std::vector x(n), y(n); for (const int i : rep(n)) { scan(x[i], y[i]); std::tie(x[i], y[i]) = std::pair(x[i] + y[i], y[i] - x[i]); } const auto check = [&](int d) -> bool { for (const int mask : rep(1 << 3)) { std::basic_string alive(n, true); for (const int c : rep(3)) { int lx; if (mask >> (c * 2) & 1) { lx = ranges::min(rep(n) | views::filter(at(alive, _1)) | views::transform(at(x, _1))); } else { lx = ranges::max(rep(n) | views::filter(at(alive, _1)) | views::transform(at(x, _1))) - d; } int ly; if (mask >> (c * 2 + 1) & 1) { ly = ranges::min(rep(n) | views::filter(at(alive, _1)) | views::transform(at(y, _1))); } else { ly = ranges::max(rep(n) | views::filter(at(alive, _1)) | views::transform(at(y, _1))) - d; } for (const int i : rep(n)) { if (lx <= x[i] && x[i] <= lx + d && ly <= y[i] && y[i] <= ly + d) { alive[i] = false; } } if (ranges::find(alive, true) == alive.end()) { return true; } } } return false; }; int ng = -1; { auto vx = x; auto vy = y; ranges::sort(vx); ranges::sort(vy); int sx = vx.back() - vx[0]; int sy = vy.back() - vy[0]; std::vector dx(n - 1); std::vector dy(n - 1); for (const int i : rep(n - 1)) { dx[i] = vx[i + 1] - vx[i]; dy[i] = vy[i + 1] - vy[i]; } ranges::sort(dx, std::greater{}); ranges::sort(dy, std::greater{}); for (const int i : rep(std::min(2, n - 1))) { sx -= dx[i]; sy -= dy[i]; } chmax(ng, std::max(sx, sy) / 3 - 1); } int ok = std::max(ranges::max(x) - ranges::min(x), ranges::max(y) - ranges::min(y)); while (ng + 1 < ok) { const int mid = std::midpoint(ng, ok); (check(mid) ? ok : ng) = mid; } print(ok); } // 3 色 // 正方形 // 一番下の点 // ギリギリじゃないと損 // 全探索 } // namespace int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); solve(); } #else // __INCLUDE_LEVEL__ #include template bool chmin(T& x, U&& y) { return y < x && (x = std::forward(y), true); } template bool chmax(T& x, U&& y) { return x < y && (x = std::forward(y), true); } template T inf() { T ret; std::memset(&ret, 0x3f, sizeof(ret)); return ret; } template T inf() { return std::numeric_limits::infinity(); } template concept Range = std::ranges::range && !std::convertible_to; template concept TupleLike = std::__is_tuple_like::value && !Range; namespace std { istream& operator>>(istream& is, Range auto&& r) { for (auto&& e : r) { is >> e; } return is; } istream& operator>>(istream& is, TupleLike auto&& t) { return apply([&](auto&... xs) -> istream& { return (is >> ... >> xs); }, t); } ostream& operator<<(ostream& os, Range auto&& r) { string_view sep = ""; for (auto&& e : r) { os << exchange(sep, " ") << e; } return os; } ostream& operator<<(ostream& os, TupleLike auto&& t) { const auto f = [&](auto&... xs) -> ostream& { [[maybe_unused]] string_view sep = ""; ((os << exchange(sep, " ") << xs), ...); return os; }; return apply(f, t); } #define DEF_INC_OR_DEC(op) \ auto& operator op(Range auto&& r) { \ for (auto&& e : r) { \ op e; \ } \ return r; \ } \ auto& operator op(TupleLike auto&& t) { \ apply([](auto&... xs) { (op xs, ...); }, t); \ return t; \ } DEF_INC_OR_DEC(++) DEF_INC_OR_DEC(--) #undef DEF_INC_OR_DEC } // namespace std void scan(auto&&... xs) { std::cin >> std::tie(xs...); } void print(auto&&... xs) { std::cout << std::tie(xs...) << '\n'; } #define FWD(...) static_cast(__VA_ARGS__) template class fix { public: explicit fix(F f) : f_(std::move(f)) {} decltype(auto) operator()(auto&&... xs) const { return f_(std::ref(*this), FWD(xs)...); } private: F f_; }; template concept LambdaExpr = std::is_placeholder_v> != 0 || std::is_bind_expression_v>; auto operator++(LambdaExpr auto&& x, int) { return std::bind([](auto&& x) -> decltype(auto) { return FWD(x)++; }, FWD(x)); } auto operator--(LambdaExpr auto&& x, int) { return std::bind([](auto&& x) -> decltype(auto) { return FWD(x)--; }, FWD(x)); } #define DEF_UNARY_OP(op) \ auto operator op(LambdaExpr auto&& x) { \ return std::bind([](auto&& x) -> decltype(auto) { return op FWD(x); }, FWD(x)); \ } DEF_UNARY_OP(++) DEF_UNARY_OP(--) DEF_UNARY_OP(+) DEF_UNARY_OP(-) DEF_UNARY_OP(~) DEF_UNARY_OP(!) DEF_UNARY_OP(*) DEF_UNARY_OP(&) #undef DEF_UNARY_OP #define DEF_BINARY_OP(op) \ template \ requires LambdaExpr || LambdaExpr \ auto operator op(T1&& x, T2&& y) { \ return std::bind([](auto&& x, auto&& y) -> decltype(auto) { return FWD(x) op FWD(y); }, \ FWD(x), FWD(y)); \ } DEF_BINARY_OP(+=) DEF_BINARY_OP(-=) DEF_BINARY_OP(*=) DEF_BINARY_OP(/=) DEF_BINARY_OP(%=) DEF_BINARY_OP(^=) DEF_BINARY_OP(&=) DEF_BINARY_OP(|=) DEF_BINARY_OP(<<=) DEF_BINARY_OP(>>=) DEF_BINARY_OP(+) DEF_BINARY_OP(-) DEF_BINARY_OP(*) DEF_BINARY_OP(/) DEF_BINARY_OP(%) DEF_BINARY_OP(^) DEF_BINARY_OP(&) DEF_BINARY_OP(|) DEF_BINARY_OP(<<) DEF_BINARY_OP(>>) DEF_BINARY_OP(==) DEF_BINARY_OP(!=) DEF_BINARY_OP(<) DEF_BINARY_OP(>) DEF_BINARY_OP(<=) DEF_BINARY_OP(>=) DEF_BINARY_OP(&&) DEF_BINARY_OP(||) #undef DEF_BINARY_OP template requires LambdaExpr || LambdaExpr auto at(T1&& x, T2&& y) { return std::bind([](auto&& x, auto&& y) -> decltype(auto) { return FWD(x)[FWD(y)]; }, FWD(x), FWD(y)); } template auto get(LambdaExpr auto&& x) { return std::bind([](auto&& x) -> decltype(auto) { return std::get(FWD(x)); }, FWD(x)); } inline auto rep(int l, int r) { return std::views::iota(std::min(l, r), r); } inline auto rep(int n) { return rep(0, n); } inline auto rep1(int l, int r) { return rep(l, r + 1); } inline auto rep1(int n) { return rep(1, n + 1); } using namespace std::literals; using namespace std::placeholders; namespace ranges = std::ranges; namespace views = std::views; using i64 = std::int64_t; #endif // __INCLUDE_LEVEL__