제출 #572414

#제출 시각아이디문제언어결과실행 시간메모리
572414piOOECubeword (CEOI19_cubeword)C++17
0 / 100
1198 ms18416 KiB
#include <bits/stdc++.h> using namespace std; #define sz(x) ((int)size(x)) #define all(x) begin(x), end(x) #define trace(x) cout << #x << ": " << (x) << endl; namespace Ment { 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) { value += other.value - mod(); value += (value >> 31) & mod(); return *this; } Modular &operator-=(const Modular &other) { value -= other.value; value += (value >> 31) & 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; } constexpr int md = 998244353; using Mint = Modular<std::integral_constant<decay<decltype(md)>::type, md>>; } using Ment::Mint; typedef long long ll; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); int rand(int l, int r) { return (int) ((ll) rnd() % (r - l + 1)) + l; } const int N = 8, A = 62, L = 10; const ll infL = 3e18; int g[N][3] = {{1, 2, 4}, {0, 3, 5}, {0, 3, 6}, {1, 2, 7}, {0, 5, 6}, {1, 4, 7}, {2, 4, 7}, {3, 5, 6}}; int n; Mint cnt[L][A][A], dp2[A][A][A], dp7[A][A][A], dp1[A][A][A], dp4[A][A][A]; Mint ans = 0; int len = 0; int get(char c) { if ('a' <= c && c <= 'z') { return c - 'a'; } if ('A' <= c && c <= 'Z') { return (c - 'A') + 26; } return (c - '0') + 52; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n; unordered_set<string> stt; for (int i = 0; i < n; ++i) { string s; cin >> s; string ss = s; reverse(all(ss)); if (ss != s) stt.insert(ss); stt.insert(s); } for (string s: stt) { ++cnt[sz(s) - 1][get(s[0])][get(s.back())]; } for (len = 0; len < L; ++len) { for (int x0 = 0; x0 < A; ++x0) { for (int x3 = 0; x3 < A; ++x3) { for (int x6 = 0; x6 < A; ++x6) { Mint sum = 0; for (int x = 0; x < A; ++x) { sum += cnt[len][x][x0] * cnt[len][x][x3] * cnt[len][x][x6]; } dp2[x0][x3][x6] = dp7[x0][x3][x6] = dp1[x0][x3][x6] = dp4[x0][x3][x6] = sum; } } } for (int x0 = 0; x0 < A; ++x0) { for (int x3 = 0; x3 < A; ++x3) { for (int x5 = 0; x5 < A; ++x5) { for (int x6 = 0; x6 < A; ++x6) { ans = (ans + dp4[x0][x5][x6] * dp7[x3][x5][x6] * dp1[x0][x3][x5] * dp2[x0][x3][x6]); } } } } } cout << ans; return 0; }
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