#include using namespace std; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) (a).begin(), (a).end() #define Sort(a) (sort((a).begin(), (a).end())) #define RSort(a) (sort((a).rbegin(), (a).rend())) #define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end())) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } struct RandomNumber{ int64_t seed = chrono::duration_cast(chrono::system_clock::now().time_since_epoch()).count(); uniform_int_distribution p; mt19937_64 rnd; RandomNumber(long long l = 0, long long r = 0){ rnd = mt19937_64(seed); p = uniform_int_distribution(l, r); } long long get(){ return p(rnd); } }; ll n; vll l, r; void input(){ in(n); l.resize(n); r.resize(n); rep(i, n) in(l[i], r[i]); } void solve(){ ll mn = min(l), mx = max(r) - (n - 1); rep(i, n){ chmax(mn, l[i] - (n - 1)); chmin(mx, r[i] + (n - 1)); } if(mn > mx){ out(0); return; } auto check = [&](ll x){ priority_queue> q; vector mp(n + 1); rep(i, n){ if(l[i] <= x && x <= r[i]){ q.push(r[i]); } if(x < l[i] && l[i] <= x + n){ mp[l[i] - x].push_back(r[i]); } } rep(i, x, x + n){ if(q.empty()){ return false; } if(q.top() < i){ return false; } q.pop(); for(auto x : mp[i - x + 1]){ q.push(x); } } return true; }; // vector

p(n); // rep(i, n){ // p[i] = {r[i], l[i]}; // } // Sort(p); // ll resl = p[0].second, resr = p[0].first; // rep(i, 1, n){ // auto [pr, pl] = p[i]; // chmax(resl, pl - i); // chmin(resr, pr - i); // } // if(resl > resr){ // out(0); // return; // } RandomNumber rnd(mn, mx + 1); ll ti = clock(); ll init = -1; map f; while(clock() - ti <= 180 * CLOCKS_PER_SEC / 100){ ll r = rnd.get(); if(f[r]) continue; if(check(r)){ init = r; break; } } if(init == -1){ out(0); return; } ll okl = init, okr = init; { ll ng = 0; while(abs(okl - ng) > 1){ ll mid = (okl + ng) / 2; if(check(mid)){ okl = mid; }else{ ng = mid; } } } { ll ng = 1e9 + 1; while(abs(okr - ng) > 1){ ll mid = (okr + ng) / 2; if(check(mid)){ okr = mid; }else{ ng = mid; } } } out(okr - okl + 1); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }