#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; constexpr int FACT_SIZE = 1000000; mint Fact[FACT_SIZE + 1]; mint iFact[FACT_SIZE + 1]; const auto fact_init = [] { Fact[0] = mint::raw(1); for(int i = 1; i <= FACT_SIZE; ++i) { Fact[i] = Fact[i-1] * i; } iFact[FACT_SIZE] = Fact[FACT_SIZE].inv(); for(int i = FACT_SIZE; i; --i) { iFact[i-1] = iFact[i] * i; } return false; }(); mint comb(int n, int k) { if (k == 0) return mint::raw(1); assert(n >= 0 && k >= 0); if (k > n) return mint::raw(0); return Fact[n] * iFact[n - k] * iFact[k]; } mint icomb(int n, int k) { return iFact[n] * Fact[n - k] * Fact[k]; } mint fact(int n) {return Fact[n];} mint perm(int n, int k) { assert(0 <= n); return Fact[n] * iFact[n - k]; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m, k; cin >> n >> m >> k; string s; cin >> s; int seen = 0; mint ans; rep(i, n) { int pc = __builtin_popcount(seen); int x = s[i] - 'a'; int c1 = __builtin_popcount(seen & ((1 << x) - 1)); int c2 = x - c1; if (pc >= k) ans++; for(auto [s, c] : {pair(pc, c1), pair(pc + 1, c2)}) { mint d[27]; int rest = m - (i + 1); for(int add = 0; add <= 26 - s; add++) { int t = s + add; mint z = t == 1 ? mint(rest + 1) : (1 - mint(t).pow(rest + 1)) / (1 - t); mint v = c * comb(26 - s, add) * z; rep(a, add) v -= d[a] * comb(26 - s - a, add - a); d[add] = v; if (s + add >= k) ans += v; } } seen |= 1 << x; } cout << ans.val() << endl; }