#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } #define N_MAX 500005 mint inv[N_MAX],fac[N_MAX],finv[N_MAX]; mint pw[27][N_MAX]; void init(){ for(int x = 1; x <= 26; x++){ pw[x][0] = 1; for(int i = 1; i < N_MAX; i++) pw[x][i] = pw[x][i-1]*x; } const ll MOD = mint::mod(); fac[0]=1;fac[1]=1; finv[0]=1;finv[1]=1; inv[1]=1; for(int i=2;i> n >> m >> k; string s; cin >> s; vector used(26); int cnt_used = 0; mint ans = 0; for(int i = 0; i < n && i < m; i++){ map memo; int len = m-i-1; // debug_value(len) // x個使った auto solve = [&](int x){ assert(x > 0); if(memo.count(x)) return memo[x]; mint ans = (pw[26][len+1]-1)*inv[25]; if(x >= k){ // もう何を選んでも良い memo[x] = ans; return ans; } vector ng(k-x); // 追加でy個選ぶ for(int y = 0; y < k-x; y++){ if(x+y == 1){ ng[y] = len+1; continue; } mint c = (pw[x+y][len+1]-1)*inv[x+y-1]; for(int a = 0; a < y; a++){ c -= comb(y, a)*ng[a]; } ng[y] = c; } // print_vector(ng); for(int y = 0; y < k-x; y++){ ans -= comb(26-x, y)*ng[y]; } memo[x] = ans; return ans; }; for(char c = 'a'; c < s[i]; c++){ int x = cnt_used; if(!used[c-'a']) x++; ans += solve(x); // cout << x << ' ' << i << ' ' << solve(x) << endl; } if(!used[s[i]-'a']){ cnt_used++; used[s[i]-'a'] = true; } if(i+1 < n && cnt_used >= k) ans++; } cout << ans << endl; }