#if __INCLUDE_LEVEL__ == 0 #include using namespace std; #include __BASE_FILE__ namespace { using Fp = atcoder::modint998244353; void solve() { int n, m, k; cin >> tie(n, m, k); string s; cin >> s; Comb comb(1e6); array occ{}; int x = 0; Fp ans = 0; array, 27> coef{}; for (int x : rep1(0, 26)) { for (int z : rep1(0, 26)) { for (int y : rep1(max(z, k), 26)) { coef[x][z] += comb.binom(26 - x, y - x) * comb.binom(x, z - (y - x)); } } } for (int p : rep(n)) { ans += k <= x; array f; for (int i : rep(f.size())) { if (i == 0) { f[i] = 1; } else if (i == 1) { f[i] = m - p; } else { f[i] = (Fp(i).pow(m - p) - 1) * comb.recip(i - 1); } } array g{}; for (int i : rep(g.size())) { for (int j : rep1(0, i)) { g[i] += ((i - j) & 1 ? -1 : 1) * comb.binom(i, j) * f[j]; } } for (char c : rep('a', s[p])) { x += occ[c - 'a']++ == 0; for (int z : rep1(0, 26)) { ans += g[z] * coef[x][z]; } x -= --occ[c - 'a'] == 0; } x += occ[s[p] - 'a']++ == 0; } print(ans); } } // namespace int main() { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); } #else // __INCLUDE_LEVEL__ #undef assert #define assert(expr) (expr) || (__builtin_unreachable(), 0) #include template vector make_vector_for_overwrite(int n) { static_assert(is_trivially_destructible_v); vector v; v.reserve(n); auto p = (T**)&v; p[1] = p[2]; return v; } template class Comb { public: Comb() = default; explicit Comb(int max_n) : fact_(make_vector_for_overwrite(max_n + 1)), recip_fact_(make_vector_for_overwrite(max_n + 1)) { fact_[0] = 1; for (int n = 1; n <= max_n; ++n) { fact_[n] = fact_[n - 1] * n; } recip_fact_[max_n] = 1 / fact_[max_n]; for (int n = max_n; 1 <= n; --n) { recip_fact_[n - 1] = n * recip_fact_[n]; } } T recip(int n) const { assert(n); return n < 0 ? -recip(-n) : recip_fact_[n] * fact_[n - 1]; } T fact(int n) const { assert(0 <= n); return fact_[n]; } T recip_fact(int n) const { return n < 0 ? 0 : recip_fact_[n]; } T falling_fact(int n, int k) const { assert(0 <= n || n < k); if (n < 0) { T t = falling_fact(k - n - 1, k); return k & 1 ? -t : t; } return n < k ? 0 : recip_fact(n - k) * fact(n); } T recip_falling_fact(int n, int k) const { assert(n < 0 || k <= n); return falling_fact(n - k, -k); } T rising_fact(int n, int k) const { assert(n <= 0 || 0 < n + k); return falling_fact(n + k - 1, k); } T recip_rising_fact(int n, int k) const { assert(0 < n || n + k <= 0); return falling_fact(n - 1, -k); } T binom(int n, int k) const { if ((n < 0) ^ (k < 0) ^ (n < k)) { return 0; } if (n < 0 && k < 0) { k = n - k; } return recip_fact(k) * falling_fact(n, k); } T recip_binom(int n, int k) const { assert((0 <= n) ^ (0 <= k) ^ (k <= n)); k = max(k, n - k); return recip_falling_fact(n, k) * fact(k); } T multiset(int n, int k) const { return binom(n + k - 1, k); } T recip_multiset(int n, int k) const { assert((0 < n) ^ (0 <= k) ^ (0 < n + k)); return recip_binom(n + k - 1, k); } private: vector fact_; vector recip_fact_; }; template bool chmin(T& x, U&& y) { return y < x && (x = forward(y), true); } template bool chmax(T& x, U&& y) { return x < y && (x = forward(y), true); } namespace std { template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } template istream& operator>>(istream& is, tuple& t) { return apply([&is](auto&... xs) -> istream& { return (is >> ... >> xs); }, t); } template istream& operator>>(istream& is, tuple&& t) { return is >> t; } template >* = nullptr> auto operator>>(istream& is, R&& r) -> decltype(is >> *begin(r)) { for (auto&& e : r) { is >> e; } return is; } template ostream& operator<<(ostream& os, const pair& p) { return os << p.first << ' ' << p.second; } template ostream& operator<<(ostream& os, const tuple& t) { auto f = [&os](const auto&... xs) -> ostream& { [[maybe_unused]] auto sep = ""; ((os << exchange(sep, " ") << xs), ...); return os; }; return apply(f, t); } template >* = nullptr> auto operator<<(ostream& os, R&& r) -> decltype(os << *begin(r)) { auto sep = ""; for (auto&& e : r) { os << exchange(sep, " ") << e; } return os; } } // namespace std namespace atcoder { template * = nullptr> istream& operator>>(istream& is, T& x) { int v; is >> v; x = T::raw(v); return is; } template * = nullptr> ostream& operator<<(ostream& os, const T& x) { return os << x.val(); } } // namespace atcoder template void print(Ts&&... xs) { cout << tie(xs...) << '\n'; } inline auto rep(int l, int r) { return views::iota(min(l, r), r); } inline auto rep(int n) { return rep(0, n); } inline auto rep1(int l, int r) { return rep(l, r + 1); } inline auto rep1(int n) { return rep(1, n + 1); } inline auto per(int l, int r) { return rep(l, r) | views::reverse; } inline auto per(int n) { return per(0, n); } inline auto per1(int l, int r) { return per(l, r + 1); } inline auto per1(int n) { return per(1, n + 1); } #endif // __INCLUDE_LEVEL__