#define _CRT_SECURE_NO_WARNINGS
#include "bits/stdc++.h"
#define rep(i, n) for(int i=0; i<(n); ++i)
#define FOR(i, m, n) for(int i=(m); i<(n); ++i)
#define rrep(i, n) for(int i=(n)-1; i>=0; --i)
#define rfor(i, m, n) for(int i=(m); i>=(n); --i)
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define mp make_pair
#define pb push_back
#define eb emplace_back

using namespace std;
using LL = long long;		using ld = long double;
using VB = vector<bool>;	using VVB = vector<VB>;
using VI = vector<int>;		using VVI = vector<VI>;
using VL = vector<LL>;		using VVL = vector<VL>;
using VS = vector<string>;	using VD = vector<double>;
using PII = pair<int, int>;	using VP = vector<PII>;
using PLL = pair<LL, LL>;	using VPL = vector<PLL>;
template<class T>using pq = priority_queue<T>;
template<class T>using pqs = priority_queue<T, vector<T>, greater<T>>;
constexpr int inf = (int)1e9;
constexpr LL inf_ll = (LL)1e18, MOD = 1000000007;
const ld PI = acosl(-1.0), EPS = 1e-12;

template<class T>inline void Sort(T& a)noexcept { sort(all(a)); }
template<class T>inline void RSort(T& a)noexcept { sort(rall(a)); }
template<class T>inline void Reverse(T& a)noexcept { reverse(all(a)); }
template<class T>inline void Unique(T& a)noexcept { a.erase(unique(all(a)), a.end()); }
template<class T>inline T Sorted(T a)noexcept { Sort(a); return a; }
template<class T>inline T RSorted(T a)noexcept { RSort(a); return a; }
template<class T>inline T Reversed(T a)noexcept { Reverse(a); return a; }
template<class T>inline T Uniqued(T a)noexcept { Unique(a); return a; }
template<class T>inline auto Max(const T& a)noexcept { return *max_element(all(a)); }
template<class T>inline auto Min(const T& a)noexcept { return *min_element(all(a)); }
template<class T>inline int MaxPos(const T& a)noexcept { return max_element(all(a)) - a.begin(); }
template<class T>inline int MinPos(const T& a)noexcept { return min_element(all(a)) - a.begin(); }
template<class T, class U>inline int Count(const T& a, const  U& v)noexcept { return count(all(a), v); }
template<class T, class U>inline int Find(const T& a, const U& v)noexcept { auto pos = find(all(a), v); return pos == a.end() ? -1 : pos - a.begin(); }
template<class T, class U>inline U Sum(const T& a, const U& v)noexcept { return accumulate(all(a), v); }
template<class T, class U>inline int Lower(const T& a, const U& v)noexcept { return lower_bound(all(a), v) - a.begin(); }
template<class T, class U>inline int Upper(const T& a, const U& v)noexcept { return upper_bound(all(a), v) - a.begin(); }
template<class T, class P>inline void RemoveIf(T& a, P f)noexcept { a.erase(remove_if(all(a), f), a.end()); }
template<class T>inline T Age(T n, T m)noexcept { return (n + m - 1) / m; }
template<class T>inline T Age2(T n, T m)noexcept { return Age(n, m) * m; }
template<class T>inline T Tri(T n)noexcept { return (n & 1) ? (n + 1) / 2 * n : n / 2 * (n + 1); }
template<class T = long long>inline T BIT(int b)noexcept { return T{ 1 } << b; }
template<class T>inline T Gcd(T n, T m)noexcept { return m ? Gcd(m, n % m) : n; }
template<class T>inline T Lcm(T n, T m)noexcept { return n / Gcd(n, m) * m; }
template<class T>inline T Pow(T a, T n)noexcept { T r = 1; while (n > 0) { if (n & 1)r *= a; a *= a; n /= 2; }return r; }
template<class T>inline T Powmod(T a, T n, T m = MOD)noexcept { T r = 1; while (n > 0) { if (n & 1)r = r * a % m, n--; else a = a * a % m, n /= 2; }return r; }
template<class T>inline bool chmax(T& a, const T& b)noexcept { if (a < b) { a = b; return true; } return false; }
template<class T>inline bool chmin(T& a, const T& b)noexcept { if (a > b) { a = b; return true; } return false; }
template<class T>inline bool inRange(const T& v, const T& min, const T& max)noexcept { return min <= v && v <= max; }
inline string operator*(string s, int n)noexcept { string ret; rep(i, n)ret += s; return ret; }

// --- input --- //
#if defined(_MSC_VER) || defined(ONLINE_JUDGE)
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#endif
inline int gc()noexcept { return getchar_unlocked(); }
template<class T>inline void InputF(T& v)noexcept { cin >> v; }
inline void InputF(char& v)noexcept { while (isspace(v = gc())); }
inline void InputF(string& v)noexcept {
	char c; for (InputF(c); !isspace(c); c = gc())v += c;
}
inline void InputF(int& v)noexcept {
	bool neg = false; v = 0; char c; InputF(c);
	if (c == '-') { neg = true; c = gc(); }
	for (; isdigit(c); c = gc())v = v * 10 + (c - '0');
	if (neg)v = -v;
}
inline void InputF(long long& v)noexcept {
	bool neg = false; v = 0; char c; InputF(c);
	if (c == '-') { neg = true; c = gc(); }
	for (; isdigit(c); c = gc())v = v * 10 + (c - '0');
	if (neg)v = -v;
}
inline void InputF(double& v)noexcept {
	double dp = 1; bool neg = false, adp = false; v = 0; char c; InputF(c);
	if (c == '-') { neg = true; c = gc(); }
	for (; isdigit(c) || c == '.'; c = gc()) {
		if (c == '.')adp = true;
		else if (adp)v += (c - '0') * (dp *= 0.1);
		else v = v * 10 + (c - '0');
	}
	if (neg)v = -v;
}
template<class T, class U>inline void InputF(pair<T, U>& v)noexcept {
	InputF(v.first); InputF(v.second);
}
template<class T>inline void InputF(vector<T>& v)noexcept {
	for (auto& e : v)InputF(e);
}
template<class T>inline T input() { T v; InputF(v); return v; }
struct InputV {
	int n, m;
	InputV(int N) :n(N), m(0) {}
	InputV(pair<int, int> N) :n(N.first), m(N.second) {}
	template<class T>operator vector<T>()noexcept {
		vector<T> v(n); InputF(v); return v;
	}
	template<class T>operator vector<vector<T>>()noexcept {
		vector<vector<T>> v(n, vector<T>(m)); InputF(v); return v;
	}
};
struct Input {
	template<class T>operator T()noexcept { return input<T>(); }
	int operator--(int) { int v; InputF(v); v--; return v; }
	InputV operator[](int n)noexcept { return InputV(n); }
	InputV operator[](pair<int, int> n)noexcept { return InputV(n); }
	void operator()() {}
	template<class H, class...T>void operator()(H&& h, T&& ...t) {
		InputF(h); operator()(forward<T>(t)...);
	}
	template<class T, size_t W>array<vector<T>, W> get(int H) {
		array<vector<T>, W> ret;
		rep(i, H)rep(j, W) { T x = *this; ret[j].push_back(x); }
		return ret;
	}
}in;

// --- output --- //
struct BoolStr {
	const char* t, * f; BoolStr(const char* _t, const char* _f) :t(_t), f(_f) {}
}Yes("Yes", "No"), yes("yes", "no"), YES("YES", "NO"), Int("1", "0");
struct DivStr {
	const char* d, * l; DivStr(const char* _d, const char* _l) :d(_d), l(_l) {}
}spc(" ", "\n"), no_spc("", "\n"), end_line("\n", "\n"), comma(",", "\n"), no_endl(" ", "");
class Output {
	BoolStr B{ Yes }; DivStr D{ spc }; bool isPrint = true;
	void p(double v) { printf("%.20f", v); } void p(long double v) { printf("%.20Lf", v); }
	void p(int v) { printf("%d", v); }	void p(LL v) { printf("%lld", v); }
	void p(char v) { putchar(v); }		void p(bool v) { printf("%s", v ? B.t : B.f); }
	template<class T>void p(const T& v) { cout << v; }
	template<class T, class U>void p(const pair<T, U>& v) { p(v.first); printf("%s", D.d); p(v.second); }
	template<class T>void p(const vector<T>& v) { rep(i, sz(v)) { if (i)printf("%s", D.d); p(v[i]); } }
	template<class T>void p(const vector<vector<T>>& v) { rep(i, sz(v)) { if (i)printf("%s", D.l); p(v[i]); } }
	void p(const BoolStr& v) { B = v; isPrint = false; } void p(const DivStr& v) { D = v; isPrint = false; }
public:
	void operator()() { printf("%s", D.l); }
	template<class H>void operator()(H&& h) {
		p(h); if (isPrint)printf("%s", D.l); isPrint = true; B = Yes; D = spc;
	}
	template<class H, class...T>void operator()(H&& h, T&& ...t) {
		p(h); if (isPrint)printf("%s", D.d); isPrint = true; operator()(forward<T>(t)...);
	}
	template<class...T>void exit(T&& ...t) {
		operator()(forward<T>(t)...); std::exit(EXIT_SUCCESS);
	}
}out;

// --- dump --- //
#if __has_include("dump.hpp")
#include "dump.hpp"
#else
#define dump(...) (void(0))
#endif

// ---------------------------------------------------------------- //

struct Range {
	using T = long long;
	T x, y; // [x, y]
	constexpr Range()noexcept :x(0), y(0) {}
	constexpr Range(T _x, T _y, bool exclude_end = false)noexcept : x(_x), y(_y - exclude_end) { assert(x <= y); }
	constexpr Range(const Range& _r, bool exclude_end = false)noexcept : x(_r.x), y(_r.y - exclude_end) { assert(x <= y); }
	constexpr bool operator==(const Range& r)const noexcept { return x == r.x && y == r.y; }
	constexpr bool operator!=(const Range& r)const noexcept { return x != r.x || y != r.y; }
	constexpr operator bool()const noexcept { return *this != nil(); }
	constexpr Range& operator<<=(T n)noexcept { x -= n; y -= n; return *this; }
	constexpr Range& operator>>=(T n)noexcept { x += n; y += n; return *this; }
	constexpr Range& operator*=(T n)noexcept { x *= n; y *= n; return *this; }
	constexpr Range operator<<(T n)const noexcept { return Range(*this) <<= n; }
	constexpr Range operator>>(T n)const noexcept { return Range(*this) >>= n; }
	constexpr Range operator*(T n)const noexcept { return Range(*this) *= n; }
	constexpr Range& operator&=(const Range& r)noexcept {
		if (intersects(r)) { x = std::max(x, r.x); y = std::min(y, r.y); } else { *this = nil(); } return *this;
	}
	constexpr Range& operator|=(const Range& r)noexcept {
		if (intersects(r)) { x = std::min(x, r.x); y = std::max(y, r.y); } else { *this = nil(); } return *this;
	}
	constexpr Range operator&(const Range& r)const noexcept { return Range(*this) &= r; }
	constexpr Range operator|(const Range& r)const noexcept { return Range(*this) |= r; }
	constexpr T size()const noexcept { return *this ? max<T>(0, y - x + 1) : 0; }
	constexpr bool include(T n)const noexcept { return x <= n && n <= y; }
	constexpr bool intersects(const Range& r)const noexcept { return std::max(x, r.x) <= std::min(y, r.y); }
	constexpr bool contains(const Range& r)const noexcept { return x <= r.x && r.y <= y; }
	struct It {
		T now, end;
		constexpr It(const Range& r)noexcept :now(r.x), end(r.y) {}
		constexpr T operator*()const noexcept { return now; }
		constexpr It& operator++()noexcept { now++; return *this; }
		constexpr bool operator!=(const It& i)const noexcept { return now <= i.end; }
	};
	constexpr It begin()const noexcept { return It(*this); }
	constexpr It end()const noexcept { return It(*this); }
	static constexpr Range nil() { return { numeric_limits<T>::min(),numeric_limits<T>::min() }; }
};
ostream& operator<<(ostream& os, const Range& r)noexcept {
	return (r == Range::nil()) ? (os << "[nil]") : (os << '[' << r.x << ',' << r.y << ']');
}
istream& operator>>(istream& is, Range& r)noexcept { return is >> r.x >> r.y; }
template<class T>constexpr Range equal_range(const T& a, const Range& r) {
	auto L = lower_bound(a.begin(), a.end(), r.x) - a.begin(), R = upper_bound(a.begin(), a.end(), r.y) - a.begin();
	return L == R ? Range::nil() : Range(L, R, true);
}

int main() {
	int n = in;
	vector<Range> a = in[n];
	dump(a);

	auto it1 = max_element(all(a), [=](const Range& r1, const Range& r2) { return r1.x < r2.x; });
	auto it2 = min_element(all(a), [=](const Range& r1, const Range& r2) { return r1.y < r2.y; });
	LL ma = 0;
	for (auto it = a.begin(); it != a.end(); ++it) {
		if (it != it1 && it != it2)chmax(ma, it->size());
	}
	LL ans = (*it1 & *it2).size() + ma;

	sort(all(a), [=](const Range& r1, const Range& r2) {
		return r1.x < r2.x || (r1.x == r2.x && r1.y > r2.y);
		});
	vector<Range> f(n), b(n);
	f.front() = a.front();
	FOR(i, 1, n) {
		f[i] = f[i - 1] & a[i];
	}
	b.back() = a.back();
	rrep(i, n - 1) {
		b[i] = b[i + 1] & a[i];
	}
	rep(i, n - 1) {
		chmax(ans, f[i].size() + b[i + 1].size());
	}

	out(ans);
}

Measured memory_bytes: 4992