#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } int main() { ll N, M, K; cin >> N >> M >> K; string S; cin >> S; vector ns(N); for (ll i = 0; i < N; i++) { ns[i] = (ll)(S[i] - 'a'); } vector> dp1(M, vector(27, 0)); vector> dp2(M, vector(27, 0)); dp2[0][1] = ns[0]; dp1[0][1] = 1; ll now_kind = 1; vector kinds(26, 0); kinds[ns[0]]++; for (ll i = 1; i < N; i++) { if (kinds[ns[i]] == 0) { now_kind++; } kinds[ns[i]]++; dp1[i][now_kind] = 1; for (ll j = 1; j <= 26; j++) { dp2[i][j] = (dp2[i][j] + dp2[i - 1][j] * j) % mod2; dp2[i][j] = (dp2[i][j] + dp2[i - 1][j - 1] * (26 - (j - 1))) % mod2; } ll up = 0; ll down = 0; for (ll j = 0; j < ns[i]; j++) { if (kinds[j] == 0) { down++; } else { up++; } } for (ll j = 1; j <= 26; j++) { dp2[i][j] = (dp2[i][j] + dp1[i - 1][j] * up) % mod2; dp2[i][j] = (dp2[i][j] + dp1[i - 1][j - 1] * down) % mod2; } } for (ll i = N; i < M; i++) { for (ll j = 1; j <= 26; j++) { dp2[i][j] = (dp2[i][j] + (dp2[i - 1][j] * j)) % mod2; dp2[i][j] = (dp2[i][j] + dp2[i - 1][j - 1] * (26 - (j - 1))) % mod2; } } ll ans = 0; for (ll i = 0; i < M; i++) { for (ll j = K; j <= 26; j++) { ans = (ans + dp2[i][j]) % mod2; } } for (ll i = 0; i < N - 1; i++) { for (ll j = K; j <= 26; j++) { ans = (ans + dp1[i][j]) % mod2; } } // debug(dp1); // debug(dp2); cout << ans << endl; }