Submission #583848

#TimeUsernameProblemLanguageResultExecution timeMemory
583848MilosMilutinovicSavez (COCI15_savez)C++14
0 / 120
228 ms14212 KiB
/** * author: wxhtzdy * created: 26.06.2022 11:49:09 **/ #include <bits/stdc++.h> using namespace std; template <typename T> T inverse(T a, T m) { T u = 0, v = 1; while (a != 0) { T t = m / a; m -= t * a; swap(a, m); u -= t * v; swap(u, v); } assert(m == 1); return u; } template <typename T> class Modular { public: using Type = typename decay<decltype(T::value)>::type; constexpr Modular() : value() {} template <typename U> Modular(const U& x) { value = normalize(x); } template <typename U> static Type normalize(const U& x) { Type v; if (-mod() <= x && x < mod()) v = static_cast<Type>(x); else v = static_cast<Type>(x % mod()); if (v < 0) v += mod(); return v; } const Type& operator()() const { return value; } template <typename U> explicit operator U() const { return static_cast<U>(value); } constexpr static Type mod() { return T::value; } Modular& operator+=(const Modular& other) { if ((value += other.value) >= mod()) value -= mod(); return *this; } Modular& operator-=(const Modular& other) { if ((value -= other.value) < 0) value += mod(); return *this; } template <typename U> Modular& operator+=(const U& other) { return *this += Modular(other); } template <typename U> Modular& operator-=(const U& other) { return *this -= Modular(other); } Modular& operator++() { return *this += 1; } Modular& operator--() { return *this -= 1; } Modular operator++(int) { Modular result(*this); *this += 1; return result; } Modular operator--(int) { Modular result(*this); *this -= 1; return result; } Modular operator-() const { return Modular(-value); } template <typename U = T> typename enable_if<is_same<typename Modular<U>::Type, int>::value, Modular>::type& operator*=(const Modular& rhs) { #ifdef _WIN32 uint64_t x = static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value); uint32_t xh = static_cast<uint32_t>(x >> 32), xl = static_cast<uint32_t>(x), d, m; asm( "divl %4; \n\t" : "=a" (d), "=d" (m) : "d" (xh), "a" (xl), "r" (mod()) ); value = m; #else value = normalize(static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value)); #endif return *this; } template <typename U = T> typename enable_if<is_same<typename Modular<U>::Type, int64_t>::value, Modular>::type& operator*=(const Modular& rhs) { int64_t q = static_cast<int64_t>(static_cast<long double>(value) * rhs.value / mod()); value = normalize(value * rhs.value - q * mod()); return *this; } template <typename U = T> typename enable_if<!is_integral<typename Modular<U>::Type>::value, Modular>::type& operator*=(const Modular& rhs) { value = normalize(value * rhs.value); return *this; } Modular& operator/=(const Modular& other) { return *this *= Modular(inverse(other.value, mod())); } template <typename U> friend bool operator==(const Modular<U>& lhs, const Modular<U>& rhs); template <typename U> friend bool operator<(const Modular<U>& lhs, const Modular<U>& rhs); template <typename U> friend std::istream& operator>>(std::istream& stream, Modular<U>& number); private: Type value; }; template <typename T> bool operator==(const Modular<T>& lhs, const Modular<T>& rhs) { return lhs.value == rhs.value; } template <typename T, typename U> bool operator==(const Modular<T>& lhs, U rhs) { return lhs == Modular<T>(rhs); } template <typename T, typename U> bool operator==(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) == rhs; } template <typename T> bool operator!=(const Modular<T>& lhs, const Modular<T>& rhs) { return !(lhs == rhs); } template <typename T, typename U> bool operator!=(const Modular<T>& lhs, U rhs) { return !(lhs == rhs); } template <typename T, typename U> bool operator!=(U lhs, const Modular<T>& rhs) { return !(lhs == rhs); } template <typename T> bool operator<(const Modular<T>& lhs, const Modular<T>& rhs) { return lhs.value < rhs.value; } template <typename T> Modular<T> operator+(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) += rhs; } template <typename T, typename U> Modular<T> operator+(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) += rhs; } template <typename T, typename U> Modular<T> operator+(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) += rhs; } template <typename T> Modular<T> operator-(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) -= rhs; } template <typename T, typename U> Modular<T> operator-(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) -= rhs; } template <typename T, typename U> Modular<T> operator-(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) -= rhs; } template <typename T> Modular<T> operator*(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) *= rhs; } template <typename T, typename U> Modular<T> operator*(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) *= rhs; } template <typename T, typename U> Modular<T> operator*(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) *= rhs; } template <typename T> Modular<T> operator/(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) /= rhs; } template <typename T, typename U> Modular<T> operator/(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) /= rhs; } template <typename T, typename U> Modular<T> operator/(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) /= rhs; } template<typename T, typename U> Modular<T> power(const Modular<T>& a, const U& b) { assert(b >= 0); Modular<T> x = a, res = 1; U p = b; while (p > 0) { if (p & 1) res *= x; x *= x; p >>= 1; } return res; } template <typename T> string to_string(const Modular<T>& number) { return to_string(number()); } template <typename T> std::ostream& operator<<(std::ostream& stream, const Modular<T>& number) { return stream << number(); } template <typename T> std::istream& operator>>(std::istream& stream, Modular<T>& number) { typename common_type<typename Modular<T>::Type, int64_t>::type x; stream >> x; number.value = Modular<T>::normalize(x); return stream; } /* using ModType = int; struct VarMod { static ModType value; }; ModType VarMod::value; ModType& md = VarMod::value; using Mint = Modular<VarMod>; */ constexpr int md = 998244353; using Mint = Modular<std::integral_constant<decay<decltype(md)>::type, md>>; vector<Mint> fact(1, 1); vector<Mint> inv_fact(1, 1); Mint C(int n, int k) { if (k < 0 || k > n) { return 0; } while ((int) fact.size() < n + 1) { fact.push_back(fact.back() * (int) fact.size()); inv_fact.push_back(1 / fact.back()); } return fact[n] * inv_fact[k] * inv_fact[n - k]; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector<string> s(n); for (int i = 0; i < n; i++) { cin >> s[i]; } sort(s.begin(), s.end(), [&](string a, string b) { if (a.size() != b.size()) { return a.size() < b.size(); } else { return a < b; } }); mt19937 rng(time(0)); int pr = rng() % 1000000 + 5; auto Prime = [&](int x) { for (int i = 2; i * i <= x; i++) { if (x % i == 0) { return false; } } return true; }; while (!Prime(pr)) { pr = rng() % 1000000 + 5; } Mint BASE = pr; vector<Mint> sa; vector<Mint> sb; function<void(string)> MakeHash = [&](string str) { string rev = str; reverse(rev.begin(), rev.end()); int sz = (int) str.size(); sa.resize(sz); sb.resize(sz); for (int i = 0; i < sz; i++) { if (i > 0) { sa[i] = sa[i - 1] * BASE; sb[i] = sb[i - 1] * BASE; } else { sa[i] = 0; sb[i] = 0; } sa[i] += str[i] - 'a'; sb[i] += rev[i] - 'a'; } }; auto Check = [&](int l1, int r1, int l2, int r2) { Mint ha = sa[r1]; Mint hb = sa[r2]; if (l2 > 0) { hb -= sa[l2 - 1] * power(BASE, r2 - l2 + 1); } return ha == hb; }; vector<vector<int>> trie(1, vector<int>(26, -1)); vector<int> dp(1, 0); for (int i = 0; i < n; i++) { MakeHash(s[i]); int sz = (int) s[i].size(); int p = 0; int mx = 0; for (int j = 0; j < sz; j++) { int c = (int) (s[i][j] - 'A'); if (trie[p][c] == -1) { trie[p][c] = (int) trie.size(); trie.push_back(vector<int>(26, -1)); dp.push_back(0); } p = trie[p][c]; if (Check(0, j, sz - j - 1, sz - 1)) { mx = max(mx, dp[p]); } } dp[p] = max(dp[p], mx + 1); } cout << *max_element(dp.begin(), dp.end()) << '\n'; return 0; }
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