結果
| 問題 | No.2172 SEARCH in the Text Editor |
| ユーザー |
 NyaanNyaan
|
| 提出日時 | 2022-12-18 21:51:56 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 231 ms / 2,000 ms |
| コード長 | 20,550 bytes |
| コンパイル時間 | 3,284 ms |
| コンパイル使用メモリ | 268,912 KB |
| 実行使用メモリ | 22,544 KB |
| 最終ジャッジ日時 | 2024-11-18 06:08:51 |
| 合計ジャッジ時間 | 8,227 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
5,248 KB |
| testcase_01 | AC | 2 ms
5,248 KB |
| testcase_02 | AC | 2 ms
5,248 KB |
| testcase_03 | AC | 231 ms
22,420 KB |
| testcase_04 | AC | 226 ms
22,424 KB |
| testcase_05 | AC | 221 ms
22,544 KB |
| testcase_06 | AC | 19 ms
6,912 KB |
| testcase_07 | AC | 18 ms
5,888 KB |
| testcase_08 | AC | 19 ms
6,016 KB |
| testcase_09 | AC | 31 ms
8,192 KB |
| testcase_10 | AC | 31 ms
7,808 KB |
| testcase_11 | AC | 17 ms
6,272 KB |
| testcase_12 | AC | 26 ms
7,168 KB |
| testcase_13 | AC | 31 ms
8,192 KB |
| testcase_14 | AC | 38 ms
9,216 KB |
| testcase_15 | AC | 21 ms
6,528 KB |
| testcase_16 | AC | 24 ms
7,552 KB |
| testcase_17 | AC | 23 ms
6,912 KB |
| testcase_18 | AC | 36 ms
8,832 KB |
| testcase_19 | AC | 33 ms
8,576 KB |
| testcase_20 | AC | 20 ms
6,272 KB |
| testcase_21 | AC | 38 ms
9,728 KB |
| testcase_22 | AC | 51 ms
11,352 KB |
| testcase_23 | AC | 57 ms
11,124 KB |
| testcase_24 | AC | 63 ms
11,808 KB |
| testcase_25 | AC | 62 ms
11,100 KB |
| testcase_26 | AC | 224 ms
22,516 KB |
| testcase_27 | AC | 222 ms
22,368 KB |
| testcase_28 | AC | 41 ms
9,856 KB |
| testcase_29 | AC | 41 ms
9,856 KB |
| testcase_30 | AC | 38 ms
9,984 KB |
| testcase_31 | AC | 40 ms
9,856 KB |
| testcase_32 | AC | 33 ms
9,984 KB |
| testcase_33 | AC | 33 ms
10,088 KB |
| testcase_34 | AC | 51 ms
10,760 KB |
| testcase_35 | AC | 56 ms
10,644 KB |
| testcase_36 | AC | 62 ms
10,868 KB |
| testcase_37 | AC | 62 ms
10,988 KB |
| testcase_38 | AC | 225 ms
22,376 KB |
| testcase_39 | AC | 227 ms
22,544 KB |
| testcase_40 | AC | 41 ms
9,856 KB |
| testcase_41 | AC | 44 ms
9,856 KB |
| testcase_42 | AC | 41 ms
9,856 KB |
| testcase_43 | AC | 40 ms
9,856 KB |
| testcase_44 | AC | 34 ms
9,856 KB |
| testcase_45 | AC | 33 ms
9,856 KB |
| testcase_46 | AC | 25 ms
7,680 KB |
| testcase_47 | AC | 20 ms
6,528 KB |
| testcase_48 | AC | 21 ms
6,656 KB |
| testcase_49 | AC | 35 ms
9,088 KB |
| testcase_50 | AC | 35 ms
8,704 KB |
| testcase_51 | AC | 18 ms
6,272 KB |
ソースコード
/**
* date : 2022-12-18 21:51:47
*/
#define NDEBUG
using namespace std;
// intrinstic
#include <immintrin.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T, typename U>
struct P : pair<T, U> {
template <typename... Args>
P(Args... args) : pair<T, U>(args...) {}
using pair<T, U>::first;
using pair<T, U>::second;
P &operator+=(const P &r) {
first += r.first;
second += r.second;
return *this;
}
P &operator-=(const P &r) {
first -= r.first;
second -= r.second;
return *this;
}
P &operator*=(const P &r) {
first *= r.first;
second *= r.second;
return *this;
}
template <typename S>
P &operator*=(const S &r) {
first *= r, second *= r;
return *this;
}
P operator+(const P &r) const { return P(*this) += r; }
P operator-(const P &r) const { return P(*this) -= r; }
P operator*(const P &r) const { return P(*this) *= r; }
template <typename S>
P operator*(const S &r) const {
return P(*this) *= r;
}
P operator-() const { return P{-first, -second}; }
};
using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;
constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;
template <typename T>
int sz(const T &t) {
return t.size();
}
template <typename T, typename U>
inline bool amin(T &x, U y) {
return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
inline T Max(const vector<T> &v) {
return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
return accumulate(begin(v), end(v), 0LL);
}
template <typename T>
int lb(const vector<T> &v, const T &a) {
return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
return upper_bound(begin(v), end(v), a) - begin(v);
}
constexpr long long TEN(int n) {
long long ret = 1, x = 10;
for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
return ret;
}
template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
return make_pair(t, u);
}
template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
vector<T> ret(v.size() + 1);
if (rev) {
for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
} else {
for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
}
return ret;
};
template <typename T>
vector<T> mkuni(const vector<T> &v) {
vector<T> ret(v);
sort(ret.begin(), ret.end());
ret.erase(unique(ret.begin(), ret.end()), ret.end());
return ret;
}
template <typename F>
vector<int> mkord(int N,F f) {
vector<int> ord(N);
iota(begin(ord), end(ord), 0);
sort(begin(ord), end(ord), f);
return ord;
}
template <typename T>
vector<int> mkinv(vector<T> &v) {
int max_val = *max_element(begin(v), end(v));
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
vector<int> mkiota(int n) {
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
T mkrev(const T &v) {
T w{v};
reverse(begin(w), end(w));
return w;
}
template <typename T>
bool nxp(vector<T> &v) {
return next_permutation(begin(v), end(v));
}
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;
} // namespace Nyaan
// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return _mm_popcnt_u64(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
} // namespace Nyaan
// inout
namespace Nyaan {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (auto &x : v) is >> x;
return is;
}
istream &operator>>(istream &is, __int128_t &x) {
string S;
is >> S;
x = 0;
int flag = 0;
for (auto &c : S) {
if (c == '-') {
flag = true;
continue;
}
x *= 10;
x += c - '0';
}
if (flag) x = -x;
return is;
}
istream &operator>>(istream &is, __uint128_t &x) {
string S;
is >> S;
x = 0;
for (auto &c : S) {
x *= 10;
x += c - '0';
}
return is;
}
ostream &operator<<(ostream &os, __int128_t x) {
if (x == 0) return os << 0;
if (x < 0) os << '-', x = -x;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
if (x == 0) return os << 0;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &...u) {
cout << t;
outr(u...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
// debug
#ifdef NyaanDebug
#define trc(...) (void(0))
#else
#define trc(...) (void(0))
#endif
#ifdef NyaanLocal
#define trc2(...) (void(0))
#else
#define trc2(...) (void(0))
#endif
// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define inl(...) \
long long __VA_ARGS__; \
in(__VA_ARGS__)
#define ins(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define in2(s, t) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i]); \
}
#define in3(s, t, u) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i]); \
}
#define in4(s, t, u, v) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i], v[i]); \
}
#define die(...) \
do { \
Nyaan::out(__VA_ARGS__); \
return; \
} while (0)
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
//
namespace inner {
using i64 = long long;
using u64 = unsigned long long;
using u128 = __uint128_t;
template <int BASE_NUM = 2>
struct Hash : array<u64, BASE_NUM> {
using array<u64, BASE_NUM>::operator[];
static constexpr int n = BASE_NUM;
Hash() : array<u64, BASE_NUM>() {}
static constexpr u64 md = (1ull << 61) - 1;
constexpr static Hash set(const i64 &a) {
Hash res;
fill(begin(res), end(res), cast(a));
return res;
}
Hash &operator+=(const Hash &r) {
for (int i = 0; i < n; i++)
if (((*this)[i] += r[i]) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator+=(const i64 &r) {
u64 s = cast(r);
for (int i = 0; i < n; i++)
if (((*this)[i] += s) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator-=(const Hash &r) {
for (int i = 0; i < n; i++)
if (((*this)[i] += md - r[i]) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator-=(const i64 &r) {
u64 s = cast(r);
for (int i = 0; i < n; i++)
if (((*this)[i] += md - s) >= md) (*this)[i] -= md;
return *this;
}
Hash &operator*=(const Hash &r) {
for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], r[i]);
return *this;
}
Hash &operator*=(const i64 &r) {
u64 s = cast(r);
for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], s);
return *this;
}
Hash operator+(const Hash &r) { return Hash(*this) += r; }
Hash operator+(const i64 &r) { return Hash(*this) += r; }
Hash operator-(const Hash &r) { return Hash(*this) -= r; }
Hash operator-(const i64 &r) { return Hash(*this) -= r; }
Hash operator*(const Hash &r) { return Hash(*this) *= r; }
Hash operator*(const i64 &r) { return Hash(*this) *= r; }
Hash operator-() const {
Hash res;
for (int i = 0; i < n; i++) res[i] = (*this)[i] == 0 ? 0 : md - (*this)[i];
return res;
}
friend Hash pfma(const Hash &a, const Hash &b, const Hash &c) {
Hash res;
for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], c[i]);
return res;
}
friend Hash pfma(const Hash &a, const Hash &b, const i64 &c) {
Hash res;
u64 s = cast(c);
for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], s);
return res;
}
static Hash get_basis() {
static auto rand_time =
chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count();
static mt19937_64 rng(rand_time);
Hash h;
for (int i = 0; i < n; i++) {
while (isPrimitive(h[i] = rng() % (md - 1) + 1) == false)
;
}
return h;
}
private:
static u64 modpow(u64 a, u64 b) {
u64 r = 1;
for (a %= md; b; a = modmul(a, a), b >>= 1) r = modmul(r, a);
return r;
}
static bool isPrimitive(u64 x) {
for (auto &d : vector<u64>{2, 3, 5, 7, 11, 13, 31, 41, 61, 151, 331, 1321})
if (modpow(x, (md - 1) / d) <= 1) return false;
return true;
}
static inline constexpr u64 cast(const long long &a) {
return a < 0 ? a + md : a;
}
static inline constexpr u64 modmul(const u64 &a, const u64 &b) {
u128 ret = u128(a) * b;
ret = (ret & md) + (ret >> 61);
return ret >= md ? ret - md : ret;
}
static inline constexpr u64 modfma(const u64 &a, const u64 &b, const u64 &c) {
u128 ret = u128(a) * b + c;
ret = (ret & md) + (ret >> 61);
return ret >= md ? ret - md : ret;
}
};
} // namespace inner
/**
* @brief ハッシュ構造体
* @docs docs/inner/inner-hash.md
*/
template <typename Str, int BASE_NUM = 2>
struct RollingHash {
using Hash = inner::Hash<BASE_NUM>;
Str data;
vector<Hash> hs, pw;
int s;
static Hash basis;
RollingHash(const Str &S = Str()) { build(S); }
void build(const Str &S) {
data = S;
s = S.size();
hs.resize(s + 1);
pw.resize(s + 1);
pw[0] = Hash::set(1);
hs[0] = Hash::set(0);
for (int i = 1; i <= s; i++) {
pw[i] = pw[i - 1] * basis;
hs[i] = pfma(hs[i - 1], basis, S[i - 1]);
}
}
Hash get(int l, int r = -1) const {
if (r == -1) r = s;
return pfma(hs[l], -pw[r - l], hs[r]);
}
static Hash get_hash(const Str &T) {
Hash ret = Hash::set(0);
for (int i = 0; i < (int)T.size(); i++) ret = pfma(ret, basis, T[i]);
return ret;
}
int find(Str &T, int lower = 0) const {
auto ths = get_hash(T);
for (int i = lower; i <= s - (int)T.size(); i++)
if (ths == get(i, i + (int)T.size())) return i;
return -1;
}
friend int LCP(const RollingHash &a, const RollingHash &b, int al, int bl) {
int ok = 0, ng = min(a.size() - al, b.size() - bl) + 1;
while (ok + 1 < ng) {
int med = (ok + ng) / 2;
(a.get(al, med + al) == b.get(bl, med + bl) ? ok : ng) = med;
}
return ok;
}
friend int strcmp(const RollingHash &a, const RollingHash &b, int al, int bl,
int ar = -1, int br = -1) {
if (ar == -1) ar = a.size();
if (br == -1) br = b.size();
int n = min<int>({LCP(a, b, al, bl), ar - al, br - bl});
return al + n == ar ? bl + n == br ? 0 : 1
: bl + n == br ? -1
: a.data[al + n] < b.data[bl + n] ? 1
: -1;
}
int size() const { return s; }
};
template <typename Str, int BASE_NUM>
typename RollingHash<Str, BASE_NUM>::Hash RollingHash<Str, BASE_NUM>::basis =
inner::Hash<BASE_NUM>::get_basis();
using roriha = RollingHash<string, 2>;
/**
* @brief Rolling Hash
* @docs docs/string/rolling-hash.md
*/
//
template <uint32_t mod>
struct LazyMontgomeryModInt {
using mint = LazyMontgomeryModInt;
using i32 = int32_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 ret = mod;
for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
return ret;
}
static constexpr u32 r = get_r();
static constexpr u32 n2 = -u64(mod) % mod;
static_assert(r * mod == 1, "invalid, r * mod != 1");
static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");
u32 a;
constexpr LazyMontgomeryModInt() : a(0) {}
constexpr LazyMontgomeryModInt(const int64_t &b)
: a(reduce(u64(b % mod + mod) * n2)){};
static constexpr u32 reduce(const u64 &b) {
return (b + u64(u32(b) * u32(-r)) * mod) >> 32;
}
constexpr mint &operator+=(const mint &b) {
if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
return *this;
}
constexpr mint &operator-=(const mint &b) {
if (i32(a -= b.a) < 0) a += 2 * mod;
return *this;
}
constexpr mint &operator*=(const mint &b) {
a = reduce(u64(a) * b.a);
return *this;
}
constexpr mint &operator/=(const mint &b) {
*this *= b.inverse();
return *this;
}
constexpr mint operator+(const mint &b) const { return mint(*this) += b; }
constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }
constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }
constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }
constexpr bool operator==(const mint &b) const {
return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
}
constexpr bool operator!=(const mint &b) const {
return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
}
constexpr mint operator-() const { return mint() - mint(*this); }
constexpr mint pow(u64 n) const {
mint ret(1), mul(*this);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
constexpr mint inverse() const { return pow(mod - 2); }
friend ostream &operator<<(ostream &os, const mint &b) {
return os << b.get();
}
friend istream &operator>>(istream &is, mint &b) {
int64_t t;
is >> t;
b = LazyMontgomeryModInt<mod>(t);
return (is);
}
constexpr u32 get() const {
u32 ret = reduce(a);
return ret >= mod ? ret - mod : ret;
}
static constexpr u32 get_mod() { return mod; }
};
template <typename T>
struct Binomial {
vector<T> f, g, h;
Binomial(int MAX = 0) {
assert(T::get_mod() != 0 && "Binomial<mint>()");
f.resize(1, T{1});
g.resize(1, T{1});
h.resize(1, T{1});
while (MAX >= (int)f.size()) extend();
}
void extend() {
int n = f.size();
int m = n * 2;
f.resize(m);
g.resize(m);
h.resize(m);
for (int i = n; i < m; i++) f[i] = f[i - 1] * T(i);
g[m - 1] = f[m - 1].inverse();
h[m - 1] = g[m - 1] * f[m - 2];
for (int i = m - 2; i >= n; i--) {
g[i] = g[i + 1] * T(i + 1);
h[i] = g[i] * f[i - 1];
}
}
T fac(int i) {
if (i < 0) return T(0);
while (i >= (int)f.size()) extend();
return f[i];
}
T finv(int i) {
if (i < 0) return T(0);
while (i >= (int)g.size()) extend();
return g[i];
}
T inv(int i) {
if (i < 0) return -inv(-i);
while (i >= (int)h.size()) extend();
return h[i];
}
T C(int n, int r) {
if (n < 0 || n < r || r < 0) return T(0);
return fac(n) * finv(n - r) * finv(r);
}
inline T operator()(int n, int r) { return C(n, r); }
template <typename I>
T multinomial(const vector<I>& r) {
static_assert(is_integral<I>::value == true);
int n = 0;
for (auto& x : r) {
if (x < 0) return T(0);
n += x;
}
T res = fac(n);
for (auto& x : r) res *= finv(x);
return res;
}
template <typename I>
T operator()(const vector<I>& r) {
return multinomial(r);
}
T C_naive(int n, int r) {
if (n < 0 || n < r || r < 0) return T(0);
T ret = T(1);
r = min(r, n - r);
for (int i = 1; i <= r; ++i) ret *= inv(i) * (n--);
return ret;
}
T P(int n, int r) {
if (n < 0 || n < r || r < 0) return T(0);
return fac(n) * finv(n - r);
}
// [x^r] 1 / (1-x)^n
T H(int n, int r) {
if (n < 0 || r < 0) return T(0);
return r == 0 ? 1 : C(n + r - 1, r);
}
};
//
using namespace Nyaan;
using mint = LazyMontgomeryModInt<998244353>;
void q() {
ini(N);
ins(T);
roriha rt{T};
// |T| - 1 文字以下の prefix / suffix
int limit = sz(T) - 1;
V<string> pre(N), suf(N);
V<mint> cnt(N);
auto count1 = [&](string S) -> mint {
if (sz(S) < sz(T)) return 0;
roriha rs{S};
mint res = 0;
rep(i, sz(S) - sz(T) + 1) {
if (rs.get(i, i + sz(T)) == rt.get(0)) res += 1;
}
return res;
};
auto count2 = [&](string A, string B) -> mint {
if (sz(A) + sz(B) < sz(T)) return 0;
roriha rc{A + B};
mint res = 0;
rep(i, sz(A) + sz(B) - sz(T) + 1) {
if (rc.get(i, i + sz(T)) == rt.get(0)) res += 1;
}
return res;
};
rep(i, N) {
ins(S);
if (S == "~") {
ini(j, k);
--j, --k;
if (sz(pre[j]) < limit) {
int len = min(limit - sz(pre[j]), sz(pre[k]));
pre[i] = pre[j] + string{begin(pre[k]), begin(pre[k]) + len};
} else {
pre[i] = pre[j];
}
if (sz(suf[k]) < limit) {
int len = min(limit - sz(suf[k]), sz(suf[j]));
suf[i] = string{end(suf[j]) - len, end(suf[j])} + suf[k];
} else {
suf[i] = suf[k];
}
cnt[i] = cnt[j] + cnt[k] + count2(suf[j], pre[k]);
} else {
pre[i] = {begin(S), begin(S) + min(limit, sz(S))};
suf[i] = {end(S) - min(limit, sz(S)), end(S)};
cnt[i] = count1(S);
}
}
cout << cnt.back() << endl;
}
void Nyaan::solve() {
int t = 1;
// in(t);
while (t--) q();
}