#ifndef HIDDEN_IN_VS // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; using ull = unsigned long long; // -2^63 ~ 2^63 = 9 * 10^18(int は -2^31 ~ 2^31 = 2 * 10^9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = acos(-1); const vi DX = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) const vi DY = { 0, 1, 0, -1 }; int INF = 1001001001; ll INFL = 4004004003104004004LL; // (int)INFL = 1010931620; // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), x)) #define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), x)) #define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索(昇順) #define repis(i, set) for(int i = lsb(set), bset##i = set; i >= 0; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 #define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了 #define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定 // 汎用関数の定義 template inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) template inline T get(T set, int i) { return (set >> i) & T(1); } // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline vector& operator--(vector& v) { repea(x, v) --x; return v; } template inline vector& operator++(vector& v) { repea(x, v) ++x; return v; } #endif // 折りたたみ用 #if __has_include() #include using namespace atcoder; #ifdef _MSC_VER #include "localACL.hpp" #endif //using mint = modint1000000007; using mint = modint998244353; //using mint = modint; // mint::set_mod(m); namespace atcoder { inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; } } using vm = vector; using vvm = vector; using vvvm = vector; using vvvvm = vector; using pim = pair; #endif #ifdef _MSC_VER // 手元環境(Visual Studio) #include "local.hpp" #else // 提出用(gcc) inline int popcount(int n) { return __builtin_popcount(n); } inline int popcount(ll n) { return __builtin_popcountll(n); } inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : -1; } inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : -1; } inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; } inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; } #define dump(...) #define dumpel(v) #define dump_list(v) #define dump_mat(v) #define input_from_file(f) #define output_to_file(f) #define Assert(b) { if (!(b)) while (1) cout << "OLE"; } #endif ll naive(int n, vl l, vl r) { vi p(n); iota(all(p), 0); ll res = 0; repi(k, -10, 10) { bool ok = false; repp(p) { bool ok2 = true; rep(i, n) { if (l[i] <= k + p[i] && k + p[i] <= r[i]) { ; } else { ok2 = false; break; } } if (ok2) { ok = true; break; } } if (ok) res++; } return res; } ll WA(int n, vl l, vl r) { vector lr(n); rep(i, n) lr[i] = { l[i], r[i] }; sort(all(lr)); rep(i, n) tie(l[i], r[i]) = lr[i]; dump(l); dump(r); ll x_min = -INFL, x_max = INFL; rep(i, n) { chmax(x_min, l[i] - i); chmin(x_max, r[i] - i); } dump(x_min, x_max); if (x_min > x_max) return 0; vector rl(n); rep(i, n) rl[i] = { r[i], l[i] }; sort(all(rl)); rep(i, n) tie(r[i], l[i]) = rl[i]; dump(l); dump(r); ll y_min = -INFL, y_max = INFL; rep(i, n) { chmax(y_min, l[i] - i); chmin(y_max, r[i] - i); } dump(y_min, y_max); if (y_min > y_max) return 0; return max(y_max - x_min + 1, 0LL); } ll solve(int n, vl l, vl r) { ll x0 = -1; { vector lr(n); rep(i, n) lr[i] = { l[i], r[i] }; sort(all(lr)); rep(i, n) tie(l[i], r[i]) = lr[i]; dump(l); dump(r); ll x = -INFL; rep(i, n) { chmax(x, l[i] - i); } dump(x); set> rem; rep(i, n) rem.insert(i); repir(i, n - 1, 0) { auto it = rem.lower_bound(r[i] - x); if (it == rem.end()) return 0; ll v = *it; if (v < l[i] - x) return 0; rem.erase(it); } x0 = x; } rep(i, n) l[i] *= -1; rep(i, n) r[i] *= -1; swap(l, r); ll x1 = -1; { vector lr(n); rep(i, n) lr[i] = { l[i], r[i] }; sort(all(lr)); rep(i, n) tie(l[i], r[i]) = lr[i]; dump(l); dump(r); ll x = -INFL; rep(i, n) { chmax(x, l[i] - i); } dump(x); set> rem; rep(i, n) rem.insert(i); repir(i, n - 1, 0) { auto it = rem.lower_bound(r[i] - x); if (it == rem.end()) return 0; ll v = *it; if (v < l[i] - x) return 0; rem.erase(it); } x1 = -x - n + 1; } return max(x1 - x0 + 1, 0LL); } void bug_find() { #ifdef _MSC_VER // 合わない入力例を見つける. mute_dump = true; mt19937_64 mt; mt.seed((int)time(NULL)); uniform_int_distribution rnd(0LL, 1LL << 60); rep(hoge, 100) { int n = rnd(mt) % 7 + 1; vl l(n), r(n); rep(i, n) { l[i] = rnd(mt) % 10; r[i] = rnd(mt) % 10; if (l[i] > r[i]) swap(l[i], r[i]); } auto res_naive = naive(n, l, r); auto res_solve = solve(n, l, r); if (res_naive != res_solve) { cout << "----------error!----------" << endl; cout << "input:" << endl; cout << n << endl; cout << l << endl; cout << r << endl; cout << "results:" << endl; cout << res_naive << endl; cout << res_solve << endl; cout << "--------------------------" << endl; } } mute_dump = false; exit(0); #endif } int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); bug_find(); int n; cin >> n; vl l(n), r(n); rep(i, n) cin >> l[i] >> r[i]; dump(naive(n, l, r)); dump("----"); EXIT(solve(n, l, r)); }