#line 1 "Main.cpp" #include #include #include #include #include #include #line 2 "nachia\\set\\word-size-tree.hpp" #line 5 "nachia\\set\\word-size-tree.hpp" namespace nachia{ struct WordsizeTree{ using Word = unsigned long long; static constexpr int W = 64; int N; std::vector> A; static int highBit(Word x){ if(x == 0) return 0; return W-1 - __builtin_clzll(x); } static int lowBit(Word x){ if(x == 0) return W; return __builtin_ctzll(x); } WordsizeTree(unsigned int length){ N = length; int n = length; do { std::vector a(n/W+1,0); A.emplace_back(std::move(a)); n /= W; } while(n); } WordsizeTree(const std::string& binStr = ""){ N = binStr.size(); int n = N; { std::vector a(n/W+1); for(int i=0; i a(n/W+1,0); for(int i=0; i<=n; i++){ if(A.back()[i]) a[i/W] |= (Word)1 << (i%W); } A.emplace_back(std::move(a)); n /= W; } } void insert(int x){ for(auto& a : A){ a[x/W] |= (Word)1 << (x % W); x /= W; } } void erase(int x){ for(auto& a : A){ a[x/W] &= ~((Word)1 << (x % W)); if(a[x/W]) return; x /= W; } } int count(int x) const { return (int)((A[0][x/W] >> (x%W)) & 1); } int noLessThan(int x) const { int d = 0, i = x; while(true){ if(d >= (int)A.size()) return -1; if(i/W >= (int)A[d].size()) return -1; Word m = A[d][i/W] & ((~(Word)0) << (i%W)); if(!m){ d++; i /= W; i++; } else{ int to = lowBit(m); i = i/W*W + to; if(d == 0) break; i *= W; d--; } } return i; } int noGreaterThan(int x) const { int d = 0, i = x; while(true){ if(i < 0) return -1; if(d >= (int)A.size()) return -1; Word m = A[d][i/W] & ~((~(Word)1) << (i%W)); if(!m){ d++; i /= W; i--; } else{ int to = highBit(m); i = i/W*W + to; if(d == 0) break; i *= W; i += W-1; d--; } } return i; } }; } // namespace nachia #line 8 "Main.cpp" using namespace std; using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; #define rep(i,n) for(int i=0; i<(int)(n); i++) const i64 INF = 1001001001001001001; using Modint = atcoder::static_modint<998244353>; int main(){ int N; cin >> N; vector K(N); rep(i,N) cin >> K[i]; reverse(K.begin(), K.end()); vector> A(N); rep(i,N){ int t; cin >> t; A[i].resize(t); rep(j,t) cin >> A[i][j]; sort(A[i].rbegin(), A[i].rend()); } int L = 0, R = 1000000000; vector H(N); while(L+1 < R){ int x = (L+R)/2; rep(i,N) H[i] = min(A[i].size(), upper_bound(A[i].begin(), A[i].end(), x, greater()) - A[i].begin()) + 1; sort(H.begin(), H.end()); nachia::WordsizeTree Hset(string(N, '1')); auto Take = [&](int h) -> bool { int hp = lower_bound(H.begin(), H.end(), h) - H.begin(); int pos = Hset.noLessThan(hp); if(pos == -1) return false; Hset.erase(pos); return true; }; bool ok = true; for(int k : K){ if(Take(k+1)){ ok = true; break; } if(!Take(k)){ ok = false; break; } } (ok ? L : R) = x; } cout << L << endl; return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ ios::sync_with_stdio(false); cin.tie(nullptr); } } ios_do_not_sync_instance;