#ifdef NACHIA #define _GLIBCXX_DEBUG #else #define NDEBUG #endif #include #include #include #include #include #include #include #include #include namespace nachia{ int Popcount(unsigned long long c) noexcept { #ifdef __GNUC__ return __builtin_popcountll(c); #else c = (c & (~0ull/3)) + ((c >> 1) & (~0ull/3)); c = (c & (~0ull/5)) + ((c >> 2) & (~0ull/5)); c = (c & (~0ull/17)) + ((c >> 4) & (~0ull/17)); c = (c * (~0ull/257)) >> 56; return c; #endif } // please ensure x != 0 int MsbIndex(unsigned long long x) noexcept { #ifdef __GNUC__ return 63 - __builtin_clzll(x); #else using u64 = unsigned long long; int q = (x >> 32) ? 32 : 0; auto m = x >> q; constexpr u64 hi = 0x8888'8888; constexpr u64 mi = 0x1111'1111; m = (((m | ~(hi - (m & ~hi))) & hi) * mi) >> 35; m = (((m | ~(hi - (x & ~hi))) & hi) * mi) >> 31; q += (m & 0xf) << 2; q += 0x3333'3333'2222'1100 >> (((x >> q) & 0xf) << 2) & 0xf; return q; #endif } // please ensure x != 0 int LsbIndex(unsigned long long x) noexcept { #ifdef __GNUC__ return __builtin_ctzll(x); #else return MsbIndex(x & -x); #endif } } namespace nachia { struct DsuFast{ private: std::vector w; public: DsuFast(int n = 0) : w(n, -1) {} int leader(int u){ if(w[u] < 0) return u; return w[u] = leader(w[u]); } int operator[](int u){ return leader(u); } int merge(int u, int v){ u = leader(u); v = leader(v); if(u == v) return u; if(-w[u] < -w[v]) std::swap(u, v); w[u] += w[v]; w[v] = u; return u; } int size(int u){ return -w[leader(u)]; } bool same(int u, int v){ return leader(u) == leader(v); } }; } // namespace nachia namespace nachia { struct DecrementalPredecessorQuery{ private: int n; int b; std::vector X; nachia::DsuFast Y; std::vector dsuTrans; int smallQ(int c, int d) const noexcept { auto z = X[c] & ((~0ull) << d); return z ? c*64 + LsbIndex(z) : -1; } int largeQ(int c) noexcept { return dsuTrans[Y.leader(c)]; } public: DecrementalPredecessorQuery(int _n) : n(_n+2), b(n/64+2), X(b, ~0ull), Y(b), dsuTrans(b) { for(int i=0; i= 0) return x-1; c = largeQ(c+1); d = 0; return smallQ(c, d)-1; } }; } // namespace nachia using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(i64 i=0; i<(i64)(n); i++) #define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--) const i64 INF = 1001001001001001001; const char* yn(bool x){ return x ? "Yes" : "No"; } template void chmin(A& l, const A& r){ if(r < l) l = r; } template void chmax(A& l, const A& r){ if(l < r) l = r; } template using nega_queue = std::priority_queue,std::greater>; using Modint = atcoder::static_modint<998244353>; using namespace std; void testcase(){ i64 N; cin >> N; vector> A(N); for(auto& [r,l] : A){ cin >> l >> r; l--; r--; } sort(A.begin(), A.end()); i64 x = INF; rep(i,N) chmin(x, A[i].first - i); auto f = [&](i64 k) -> bool { auto dec = nachia::DecrementalPredecessorQuery(N); for(auto [r,l] : A){ i64 q = dec.queryNoLessThan(l - k); if(N <= q || r < q+k) return false; dec.dec(q); } return true; }; i64 ansL = x; { i64 ok = x; i64 ng = -1; while(ng + 1 < ok){ i64 k = ng + (ok - ng) / 2; (f(k) ? ok : ng) = k; } ansL = ok; } i64 ansR = x-1; { i64 ok = x-1; i64 ng = INF; while(ok + 1 < ng){ i64 k = ok + (ng - ok) / 2; (f(k) ? ok : ng) = k; } ansR = ok; } i64 ans = ansR - ansL + 1; cout << ans << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); #ifdef NACHIA int T; cin >> T; for(int t=0; t