#include<bits/stdc++.h> using namespace std; using LL=long long; #define FOR(i,l,r) for(int i=(l);i<=(r);++i) #define REP(i,n) FOR(i,0,(n)-1) #define ssize(x) int(x.size()) template<class A,class B>auto&operator<<(ostream&o,pair<A,B>p){return o<<'('<<p.first<<", "<<p.second<<')';} template<class T>auto operator<<(ostream&o,T x)->decltype(x.end(),o){o<<'{';int i=0;for(auto e:x)o<<(", ")+2*!i++<<e;return o<<'}';} #ifdef DEBUG #define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...);}(x),cerr<<'\n' #else #define debug(...) {} #endif struct Num { static constexpr int digits_per_elem = 9, base = int(1e9); vector<int> x; Num& shorten() { while(ssize(x) and x.back() == 0) x.pop_back(); for(int a : x) assert(0 <= a and a < base); return *this; } Num(const string& s) { for(int i = ssize(s); i > 0; i -= digits_per_elem) if(i < digits_per_elem) x.emplace_back(stoi(s.substr(0, i))); else x.emplace_back(stoi(s.substr(i - digits_per_elem, digits_per_elem))); shorten(); } Num() {} Num(LL s) : Num(to_string(s)) { assert(s >= 0); } }; string to_string(const Num& n) { stringstream s; s << (ssize(n.x) ? n.x.back() : 0); for(int i = ssize(n.x) - 2; i >= 0; --i) s << setfill('0') << setw(n.digits_per_elem) << n.x[i]; return s.str(); } ostream& operator<<(ostream &o, const Num& n) { return o << to_string(n).c_str(); } Num operator+(Num a, const Num& b) { int carry = 0; for(int i = 0; i < max(ssize(a.x), ssize(b.x)) or carry; ++i) { if(i == ssize(a.x)) a.x.emplace_back(0); a.x[i] += carry + (i < ssize(b.x) ? b.x[i] : 0); carry = bool(a.x[i] >= a.base); if(carry) a.x[i] -= a.base; } return a.shorten(); } bool operator<(const Num& a, const Num& b) { if(ssize(a.x) != ssize(b.x)) return ssize(a.x) < ssize(b.x); for(int i = ssize(a.x) - 1; i >= 0; --i) if(a.x[i] != b.x[i]) return a.x[i] < b.x[i]; return false; } bool operator==(const Num& a, const Num& b) { return a.x == b.x; } bool operator<=(const Num& a, const Num& b) { return a < b or a == b; } Num operator-(Num a, const Num& b) { assert(b <= a); int carry = 0; for(int i = 0; i < ssize(b.x) or carry; ++i) { a.x[i] -= carry + (i < ssize(b.x) ? b.x[i] : 0); carry = a.x[i] < 0; if(carry) a.x[i] += a.base; } return a.shorten(); } Num operator*(Num a, int b) { assert(0 <= b and b < a.base); int carry = 0; for(int i = 0; i < ssize(a.x) or carry; ++i) { if(i == ssize(a.x)) a.x.emplace_back(0); LL cur = a.x[i] * LL(b) + carry; a.x[i] = int(cur % a.base); carry = int(cur / a.base); } return a.shorten(); } Num operator*(const Num& a, const Num& b) { Num c; c.x.resize(ssize(a.x) + ssize(b.x)); REP(i, ssize(a.x)) for(int j = 0, carry = 0; j < ssize(b.x) or carry; ++j) { LL cur = c.x[i + j] + a.x[i] * LL(j < ssize(b.x) ? b.x[j] : 0) + carry; c.x[i + j] = int(cur % a.base); carry = int(cur / a.base); } return c.shorten(); } Num operator/(Num a, int b) { assert(0 < b and b < a.base); int carry = 0; for(int i = ssize(a.x) - 1; i >= 0; --i) { LL cur = a.x[i] + carry * LL(a.base); a.x[i] = int(cur / b); carry = int(cur % b); } return a.shorten(); } // zwraca a * pow(a.base, b) Num shift(Num a, int b) { vector v(b, 0); a.x.insert(a.x.begin(), v.begin(), v.end()); return a.shorten(); } Num operator/(Num a, const Num& b) { assert(ssize(b.x)); Num c; for(int i = ssize(a.x) - ssize(b.x); i >= 0; --i) { if (a < shift(b, i)) continue; int l = 0, r = a.base - 1; while (l < r) { int m = (l + r + 1) / 2; if (shift(b * m, i) <= a) l = m; else r = m - 1; } c = c + shift(l, i); a = a - shift(b * l, i); } return c.shorten(); } template<typename T> Num operator%(const Num& a, const T& b) { return a - ((a / b) * b); } Num nwd(const Num& a, const Num& b) { if(b == Num()) return a; return nwd(b, a % b); } int main() { cin.tie(0)->sync_with_stdio(0); int n; cin >> n; debug(n); vector<vector<int>> graph(n); REP(i, n) { int k; cin >> k; REP(j, k) { int x; cin >> x; --x; graph[i].emplace_back(x); } } debug(graph); Num ans = 1; REP(i, n) { if (graph[i].empty()) continue; vector<Num> cnt(i + 1); cnt[0] = ans; REP(j, i) { if (graph[j].empty()) continue; const auto val = cnt[j] / ssize(graph[j]); for (auto e : graph[j]) { if (e <= i) { cnt[e] = cnt[e] + val; } } } const int s = ssize(graph[i]); const auto temp = cnt[i] % s; const int r = temp.x.empty() ? 0 : temp.x[0]; if (r == 0) continue; ans = ans * (s / gcd(s, r)); } cout << ans << '\n'; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 | #include<bits/stdc++.h> using namespace std; using LL=long long; #define FOR(i,l,r) for(int i=(l);i<=(r);++i) #define REP(i,n) FOR(i,0,(n)-1) #define ssize(x) int(x.size()) template<class A,class B>auto&operator<<(ostream&o,pair<A,B>p){return o<<'('<<p.first<<", "<<p.second<<')';} template<class T>auto operator<<(ostream&o,T x)->decltype(x.end(),o){o<<'{';int i=0;for(auto e:x)o<<(", ")+2*!i++<<e;return o<<'}';} #ifdef DEBUG #define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...);}(x),cerr<<'\n' #else #define debug(...) {} #endif struct Num { static constexpr int digits_per_elem = 9, base = int(1e9); vector<int> x; Num& shorten() { while(ssize(x) and x.back() == 0) x.pop_back(); for(int a : x) assert(0 <= a and a < base); return *this; } Num(const string& s) { for(int i = ssize(s); i > 0; i -= digits_per_elem) if(i < digits_per_elem) x.emplace_back(stoi(s.substr(0, i))); else x.emplace_back(stoi(s.substr(i - digits_per_elem, digits_per_elem))); shorten(); } Num() {} Num(LL s) : Num(to_string(s)) { assert(s >= 0); } }; string to_string(const Num& n) { stringstream s; s << (ssize(n.x) ? n.x.back() : 0); for(int i = ssize(n.x) - 2; i >= 0; --i) s << setfill('0') << setw(n.digits_per_elem) << n.x[i]; return s.str(); } ostream& operator<<(ostream &o, const Num& n) { return o << to_string(n).c_str(); } Num operator+(Num a, const Num& b) { int carry = 0; for(int i = 0; i < max(ssize(a.x), ssize(b.x)) or carry; ++i) { if(i == ssize(a.x)) a.x.emplace_back(0); a.x[i] += carry + (i < ssize(b.x) ? b.x[i] : 0); carry = bool(a.x[i] >= a.base); if(carry) a.x[i] -= a.base; } return a.shorten(); } bool operator<(const Num& a, const Num& b) { if(ssize(a.x) != ssize(b.x)) return ssize(a.x) < ssize(b.x); for(int i = ssize(a.x) - 1; i >= 0; --i) if(a.x[i] != b.x[i]) return a.x[i] < b.x[i]; return false; } bool operator==(const Num& a, const Num& b) { return a.x == b.x; } bool operator<=(const Num& a, const Num& b) { return a < b or a == b; } Num operator-(Num a, const Num& b) { assert(b <= a); int carry = 0; for(int i = 0; i < ssize(b.x) or carry; ++i) { a.x[i] -= carry + (i < ssize(b.x) ? b.x[i] : 0); carry = a.x[i] < 0; if(carry) a.x[i] += a.base; } return a.shorten(); } Num operator*(Num a, int b) { assert(0 <= b and b < a.base); int carry = 0; for(int i = 0; i < ssize(a.x) or carry; ++i) { if(i == ssize(a.x)) a.x.emplace_back(0); LL cur = a.x[i] * LL(b) + carry; a.x[i] = int(cur % a.base); carry = int(cur / a.base); } return a.shorten(); } Num operator*(const Num& a, const Num& b) { Num c; c.x.resize(ssize(a.x) + ssize(b.x)); REP(i, ssize(a.x)) for(int j = 0, carry = 0; j < ssize(b.x) or carry; ++j) { LL cur = c.x[i + j] + a.x[i] * LL(j < ssize(b.x) ? b.x[j] : 0) + carry; c.x[i + j] = int(cur % a.base); carry = int(cur / a.base); } return c.shorten(); } Num operator/(Num a, int b) { assert(0 < b and b < a.base); int carry = 0; for(int i = ssize(a.x) - 1; i >= 0; --i) { LL cur = a.x[i] + carry * LL(a.base); a.x[i] = int(cur / b); carry = int(cur % b); } return a.shorten(); } // zwraca a * pow(a.base, b) Num shift(Num a, int b) { vector v(b, 0); a.x.insert(a.x.begin(), v.begin(), v.end()); return a.shorten(); } Num operator/(Num a, const Num& b) { assert(ssize(b.x)); Num c; for(int i = ssize(a.x) - ssize(b.x); i >= 0; --i) { if (a < shift(b, i)) continue; int l = 0, r = a.base - 1; while (l < r) { int m = (l + r + 1) / 2; if (shift(b * m, i) <= a) l = m; else r = m - 1; } c = c + shift(l, i); a = a - shift(b * l, i); } return c.shorten(); } template<typename T> Num operator%(const Num& a, const T& b) { return a - ((a / b) * b); } Num nwd(const Num& a, const Num& b) { if(b == Num()) return a; return nwd(b, a % b); } int main() { cin.tie(0)->sync_with_stdio(0); int n; cin >> n; debug(n); vector<vector<int>> graph(n); REP(i, n) { int k; cin >> k; REP(j, k) { int x; cin >> x; --x; graph[i].emplace_back(x); } } debug(graph); Num ans = 1; REP(i, n) { if (graph[i].empty()) continue; vector<Num> cnt(i + 1); cnt[0] = ans; REP(j, i) { if (graph[j].empty()) continue; const auto val = cnt[j] / ssize(graph[j]); for (auto e : graph[j]) { if (e <= i) { cnt[e] = cnt[e] + val; } } } const int s = ssize(graph[i]); const auto temp = cnt[i] % s; const int r = temp.x.empty() ? 0 : temp.x[0]; if (r == 0) continue; ans = ans * (s / gcd(s, r)); } cout << ans << '\n'; } |