이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#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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