#include <bits/stdc++.h> #define turbo cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(0); using namespace std; const int base = 1000000000; const int base_num = 9; struct bignum { vector <int> num; int sign; int size() { if (num.empty()) return 0; int res = (num.size() - 1) * base_num; int last = num.back(); while(last) { res++; last /= 10; } return res; } string to_string() const { string res = ""; if((*this).isZero()) return "0"; for (int i = num.size() - 1; i >= 0; i--) { string k = std::to_string(num[i]); if (i != num.size() - 1) while (k.size() < base_num) k = "0" + k; res += k; } return res; } bignum() : sign(1) {} bignum (long long n) { *this = n; } void operator=(const bignum &v) { sign = v.sign; num = v.num; } void operator=(long long v) { sign = 1; num.clear(); if (v < 0) sign = -1, v = -v; for (; v > 0; v = v / base) num.push_back(v % base); } bignum operator+(const bignum &v) const { if (sign == v.sign) { bignum res = v; for (int i = 0, carry = 0; i < (int) max(num.size(), v.num.size()) || carry; ++i) { if (i == (int) res.num.size()) res.num.push_back(0); res.num[i] += carry + (i < (int) num.size() ? num[i] : 0); carry = res.num[i] >= base; if (carry) res.num[i] -= base; } return res; } return *this - (-v); } bignum operator-(const bignum &v) const { if (sign == v.sign) { if (abs() >= v.abs()) { bignum res = *this; for (int i = 0, carry = 0; i < (int) v.num.size() || carry; ++i) { res.num[i] -= carry + (i < (int) v.num.size() ? v.num[i] : 0); carry = res.num[i] < 0; if (carry) res.num[i] += base; } res.trim(); return res; } return -(v - *this); } return *this + (-v); } bignum operator-() const { bignum res = *this; res.sign = -sign; return res; } bignum abs() const { bignum res = *this; res.sign *= res.sign; return res; } bool operator<(const bignum &v) const { if (sign != v.sign) return sign < v.sign; if (num.size() != v.num.size()) return num.size() * sign < v.num.size() * v.sign; for (int i = num.size() - 1; i >= 0; i--) if (num[i] != v.num[i]) return num[i] * sign < v.num[i] * sign; return false; } bool operator>(const bignum &v) const { return v < *this; } bool operator<=(const bignum &v) const { return !(v < *this); } bool operator>=(const bignum &v) const { return !(*this < v); } bool operator==(const bignum &v) const { return !(*this < v) && !(v < *this); } bool operator!=(const bignum &v) const { return *this < v || v < *this; } void operator+=(const bignum &v) { *this = *this + v; } void operator-=(const bignum &v) { *this = *this - v; } bignum operator*(int v) const { bignum res = *this; res *= v; return res; } bignum operator*(long long v) const { bignum res = *this; res *= v; return res; } void operator*=(long long v) { if (v < 0) sign = -sign, v = -v; if(v > base){ *this = *this * (v / base) * base + *this * (v % base); return ; } for (int i = 0, carry = 0; i < (int) num.size() || carry; ++i) { if (i == (int) num.size()) num.push_back(0); long long cur = num[i] * (long long) v + carry; carry = (int) (cur / base); num[i] = (int) (cur % base); } trim(); } friend pair<bignum, bignum> divmod(const bignum &a1, const bignum &b1) { int norm = base / (b1.num.back() + 1); bignum a = a1.abs() * norm; bignum b = b1.abs() * norm; bignum q, r; q.num.resize(a.num.size()); for (int i = a.num.size() - 1; i >= 0; i--) { r *= base; r += a.num[i]; int s1 = r.num.size() <= b.num.size() ? 0 : r.num[b.num.size()]; int s2 = r.num.size() <= b.num.size() - 1 ? 0 : r.num[b.num.size() - 1]; int d = ((long long) base * s1 + s2) / b.num.back(); r -= b * d; while (r < 0) r += b, --d; q.num[i] = d; } q.sign = a1.sign * b1.sign; r.sign = a1.sign; q.trim(); r.trim(); return make_pair(q, r / norm); } bignum operator/(const bignum &v) const { return divmod(*this, v).first; } bignum operator%(const bignum &v) const { return divmod(*this, v).second; } void operator/=(int v) { if (v < 0) sign = -sign, v = -v; for (int i = (int) num.size() - 1, rem = 0; i >= 0; --i) { long long cur = num[i] + rem * (long long) base; num[i] = (int) (cur / v); rem = (int) (cur % v); } trim(); } bignum operator/(int v) const { bignum res = *this; res /= v; return res; } void trim() { while (!num.empty() && !num.back()) num.pop_back(); if (num.empty()) sign = 1; } bool isZero() const { return num.empty() || (num.size() == 1 && !num[0]); } friend bignum gcd(const bignum &a, const bignum &b) { return b.isZero() ? a : gcd(b, a % b); } }; const int N = 105; vector <int> graph[N]; bignum visited[N]; int n; void readinput() { cin >> n; for (int i = 1; i <= n; i++) { int k, x; cin >> k; for (int j = 0; j < k; j++) { cin >> x; graph[i].push_back(x); } } } void reset () { for (int i = 1; i <= n; i++) visited[i] = 0; } void DFS(int v) { for (auto &u : graph[v]) visited[u] += visited[v] / graph[v].size(); } int mygcd (int a, bignum b) { multiset <int> rozklad; int d = 2; while (a > 1) { if (a % d == 0) { rozklad.insert(d); a /= d; } else d++; } int res = 1; for (auto &i : rozklad) { if (b % i == 0) { b /= i; res *= i; } } return res; } bignum solve(bignum x) { reset(); visited[1] = x; for (int i = 1; i <= n; i++) DFS(i); for (int i = 1; i <= n; i++) { if (!graph[i].size()) continue; if (!(visited[i] % bignum(graph[i].size())).isZero()) return solve(x * ((int) graph[i].size() / mygcd(graph[i].size(), visited[i]))); } return x; } int main() { turbo; readinput(); string res = (solve(bignum(1))).to_string(); cout << res << "\n"; return 0; }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 | #include <bits/stdc++.h> #define turbo cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(0); using namespace std; const int base = 1000000000; const int base_num = 9; struct bignum { vector <int> num; int sign; int size() { if (num.empty()) return 0; int res = (num.size() - 1) * base_num; int last = num.back(); while(last) { res++; last /= 10; } return res; } string to_string() const { string res = ""; if((*this).isZero()) return "0"; for (int i = num.size() - 1; i >= 0; i--) { string k = std::to_string(num[i]); if (i != num.size() - 1) while (k.size() < base_num) k = "0" + k; res += k; } return res; } bignum() : sign(1) {} bignum (long long n) { *this = n; } void operator=(const bignum &v) { sign = v.sign; num = v.num; } void operator=(long long v) { sign = 1; num.clear(); if (v < 0) sign = -1, v = -v; for (; v > 0; v = v / base) num.push_back(v % base); } bignum operator+(const bignum &v) const { if (sign == v.sign) { bignum res = v; for (int i = 0, carry = 0; i < (int) max(num.size(), v.num.size()) || carry; ++i) { if (i == (int) res.num.size()) res.num.push_back(0); res.num[i] += carry + (i < (int) num.size() ? num[i] : 0); carry = res.num[i] >= base; if (carry) res.num[i] -= base; } return res; } return *this - (-v); } bignum operator-(const bignum &v) const { if (sign == v.sign) { if (abs() >= v.abs()) { bignum res = *this; for (int i = 0, carry = 0; i < (int) v.num.size() || carry; ++i) { res.num[i] -= carry + (i < (int) v.num.size() ? v.num[i] : 0); carry = res.num[i] < 0; if (carry) res.num[i] += base; } res.trim(); return res; } return -(v - *this); } return *this + (-v); } bignum operator-() const { bignum res = *this; res.sign = -sign; return res; } bignum abs() const { bignum res = *this; res.sign *= res.sign; return res; } bool operator<(const bignum &v) const { if (sign != v.sign) return sign < v.sign; if (num.size() != v.num.size()) return num.size() * sign < v.num.size() * v.sign; for (int i = num.size() - 1; i >= 0; i--) if (num[i] != v.num[i]) return num[i] * sign < v.num[i] * sign; return false; } bool operator>(const bignum &v) const { return v < *this; } bool operator<=(const bignum &v) const { return !(v < *this); } bool operator>=(const bignum &v) const { return !(*this < v); } bool operator==(const bignum &v) const { return !(*this < v) && !(v < *this); } bool operator!=(const bignum &v) const { return *this < v || v < *this; } void operator+=(const bignum &v) { *this = *this + v; } void operator-=(const bignum &v) { *this = *this - v; } bignum operator*(int v) const { bignum res = *this; res *= v; return res; } bignum operator*(long long v) const { bignum res = *this; res *= v; return res; } void operator*=(long long v) { if (v < 0) sign = -sign, v = -v; if(v > base){ *this = *this * (v / base) * base + *this * (v % base); return ; } for (int i = 0, carry = 0; i < (int) num.size() || carry; ++i) { if (i == (int) num.size()) num.push_back(0); long long cur = num[i] * (long long) v + carry; carry = (int) (cur / base); num[i] = (int) (cur % base); } trim(); } friend pair<bignum, bignum> divmod(const bignum &a1, const bignum &b1) { int norm = base / (b1.num.back() + 1); bignum a = a1.abs() * norm; bignum b = b1.abs() * norm; bignum q, r; q.num.resize(a.num.size()); for (int i = a.num.size() - 1; i >= 0; i--) { r *= base; r += a.num[i]; int s1 = r.num.size() <= b.num.size() ? 0 : r.num[b.num.size()]; int s2 = r.num.size() <= b.num.size() - 1 ? 0 : r.num[b.num.size() - 1]; int d = ((long long) base * s1 + s2) / b.num.back(); r -= b * d; while (r < 0) r += b, --d; q.num[i] = d; } q.sign = a1.sign * b1.sign; r.sign = a1.sign; q.trim(); r.trim(); return make_pair(q, r / norm); } bignum operator/(const bignum &v) const { return divmod(*this, v).first; } bignum operator%(const bignum &v) const { return divmod(*this, v).second; } void operator/=(int v) { if (v < 0) sign = -sign, v = -v; for (int i = (int) num.size() - 1, rem = 0; i >= 0; --i) { long long cur = num[i] + rem * (long long) base; num[i] = (int) (cur / v); rem = (int) (cur % v); } trim(); } bignum operator/(int v) const { bignum res = *this; res /= v; return res; } void trim() { while (!num.empty() && !num.back()) num.pop_back(); if (num.empty()) sign = 1; } bool isZero() const { return num.empty() || (num.size() == 1 && !num[0]); } friend bignum gcd(const bignum &a, const bignum &b) { return b.isZero() ? a : gcd(b, a % b); } }; const int N = 105; vector <int> graph[N]; bignum visited[N]; int n; void readinput() { cin >> n; for (int i = 1; i <= n; i++) { int k, x; cin >> k; for (int j = 0; j < k; j++) { cin >> x; graph[i].push_back(x); } } } void reset () { for (int i = 1; i <= n; i++) visited[i] = 0; } void DFS(int v) { for (auto &u : graph[v]) visited[u] += visited[v] / graph[v].size(); } int mygcd (int a, bignum b) { multiset <int> rozklad; int d = 2; while (a > 1) { if (a % d == 0) { rozklad.insert(d); a /= d; } else d++; } int res = 1; for (auto &i : rozklad) { if (b % i == 0) { b /= i; res *= i; } } return res; } bignum solve(bignum x) { reset(); visited[1] = x; for (int i = 1; i <= n; i++) DFS(i); for (int i = 1; i <= n; i++) { if (!graph[i].size()) continue; if (!(visited[i] % bignum(graph[i].size())).isZero()) return solve(x * ((int) graph[i].size() / mygcd(graph[i].size(), visited[i]))); } return x; } int main() { turbo; readinput(); string res = (solve(bignum(1))).to_string(); cout << res << "\n"; return 0; } |