#include <bits/stdc++.h>

using namespace std;

using i64 = long long;
#define forn(a, e) for (i64 a = 0; a < (i64)(e); a++)
#define forr(a, s, e) for (i64 a = s; a < (i64)(e); a++)
#define fore(e, a) for (auto& e : a)

#ifdef LOCAL
#define logv(a) {cerr << #a << " = "; fore(e, a) {cerr << e << " ";} cerr << "\n";}
#define logvp(a) {cerr << #a << " = "; fore(e, a) {cerr << "(" << e.first << ", " << e.second << ") ";} cerr << "\n";}
#define logvv(a) {cerr << #a << " = \n"; fore(r, a) { fore(e, r) {cerr << e << " ";} cerr << "\n";} }
#define logvf(a, field) {cerr << #a"."#field << " = \n"; fore(e, a) { cerr << e.field << " ";} cerr << "\n"; }
#define logvff(a, f1, f2) {cerr << #a".{"#f1 << ", "#f2 << "} = \n"; fore(e, a) { cerr << "(" << e.f1 <<", " << e.f2 << ") ";} cerr << "\n"; }
#define logs(a) cerr << #a << " = " << (a) << "\n";
#define logss(a, b) cerr << #a << " = " << (a) << ", " << #b << " = " << (b) << "\n";
#define logp(a) cerr << #a << " = " << "(" << a.first << ", " << a.second << ")" << "\n";
#define cond(pred, stmt) if (pred) { stmt }
#else
#define logv(a)
#define logvp(a)
#define logvv(a)
#define logvf(a, field)
#define logvff(a, f1, f2)
#define logs(a)
#define logss(a, b)
#define logp(a)
#define cond(pred, stmt)
#endif

using iip = pair<int, int>;
using llp = pair<i64, i64>;
using ivec = vector<int>;
using llvec = vector<i64>;
using svec = vector<string>;
template<typename T> using vec = vector<T>;

template<typename T, typename Dim>
auto make_vec(T value, Dim dim) { return vector<T>(dim, value); }
template<typename T, typename Dim1, typename... Dim>
auto make_vec(T value, Dim1 dim1, Dim... dims) { return make_vec(make_vec(value, dims...), dim1); }

template<typename T>
bool uax(T& v, const T& newv) { if (v < newv) { v = newv; return true; } else return false; }
template<typename T>
bool uin(T& v, const T& newv) { if (v > newv) { v = newv; return true; } else return false; }

template<typename T>
istream& operator>>(istream& is, vector<T>& c) { for (auto& e : c) is >> e; return is; }
template<typename T, size_t N>
istream& operator>>(istream& is, array<T, N>& c) { for (auto& e : c) is >> e; return is; }

template<typename ...T>
istream& read(T&... args) { return (cin >> ... >> args); }

static mt19937 rande(123123);
template<typename T>
T rand_int(T from, T to) { uniform_int_distribution<T> distr(from, to); return distr(rande); }

// constexpr i64 INF = 1e18;
constexpr int INF = 2e9;
// constexpr int MXB = 4;
constexpr int MXB = 20;
using bin = bitset<MXB>;
constexpr i64 M = 2;
constexpr int MAXN = 1e6;
constexpr int MAXM = 251;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    rande.seed(chrono::steady_clock::now().time_since_epoch().count());

    int n;
    while (read(n)) {
        vec<iip> lr(n);
        forn(i, n) {
            read(lr[i].first, lr[i].second);
        }

        auto mp = max_element(lr.begin(), lr.end()) - lr.begin();

        vec<iip> ps;
        iip mx = lr[mp];
        forn(i, n) if (i != mp) {
            ps.emplace_back(lr[i].second, lr[i].first);
        }

        ivec ms(ps.size() + 1, INF);
        for (int i = (int)ps.size() - 1; i >= 0; i--) {
            ms[i] = min(ms[i + 1], ps[i].second);
        }

        int mxl = 0;
        forn(i, ps.size()) {
            uax(mxl, ps[i].first - ps[i].second + 1);
        }

        logs(mxl);

        sort(ps.begin(), ps.end());
        logvp(ps);
        logss(mx.first, mx.second);
        // i64 ans = mx.second - mx.first + 1 + mxl;
        i64 ans = 0;
        iip c2{0, INF};
        forn(i, ps.size()) {
            iip pp = mx;
            uin(pp.second, ps[i].first);
            i64 cans = max(0, pp.second - pp.first + 1);
            if (c2.first != 0) {
                cans += max(0, c2.second - c2.first + 1);
            } else {
                cans += mxl;
            }
            uax(ans, cans);
            uin(c2.second, ps[i].first);
            uax(c2.first, ps[i].second);
        }

        i64 cans = mx.second - mx.first + 1;
        if (c2.first != 0) {
            cans += max(0, c2.second - c2.first + 1);
        }

        uax(ans, cans);
        cout << ans << endl;
    }
}


Measured memory_bytes: 5324