#include #include using namespace std; #define PB push_back typedef long long int ll; constexpr int kN = 1 << 20, kMod = 998244353; ll Pow(ll a, ll b) { ll ans = 1; while (b) { if (b & 1) ans = ans * a % kMod; a = a * a % kMod; b >>= 1; } return ans; } ll Rev(ll n) {return Pow(n, kMod - 2);} void Ntt(vector &v, bool on, int size); int cnt[26]; ll f[kN], inf[kN]; vector v[26]; void pre() { f[0] = f[1] = inf[0] = inf[1] = 1; for (int i = 2; i < kN; i++) f[i] = f[i - 1] * i % kMod; inf[kN - 1] = Rev(f[kN - 1]); for (int i = kN - 1; i > 2; i--) inf[i - 1] = inf[i] * i % kMod; for (int i = 0; i < 26; i++) v[i].resize(kN, 0); return ; } int main() { string s; ll ans = kMod - 1; cin >> s; for (char i : s) cnt[i - 'a']++; pre(); for (int i = 0; i < 26; i++) for (int j = 0; j <= cnt[i]; j++) v[i][j] = inf[j]; for (int i = 0; i < 26; i++) Ntt(v[i], false, kN); for (int i = 1; i < 26; i++) for (int j = 0; j < kN; j++) v[0][j] = v[0][j] * v[i][j] % kMod; Ntt(v[0], true, kN); for (int i = 0; i < kN; i++) ans += v[0][i] * f[i] % kMod; cout << ans % kMod << '\n'; } void Ntt( vector &v, bool on, int size) { long long int wn, u, t, w, inv; for (int i = 1, j = size >> 1, k; i < (size - 1); i++) { if (i < j) swap(v[i], v[j]); k = size >> 1; while (j & k) { j ^= k; k >>= 1; } j |= k; } for (int i = 2; i <= size; i <<= 1) { wn = on ? Pow(3, (kMod - 1) / i) : Pow(3, kMod - 1 - (kMod - 1) / i); for (int j = 0; j < size; j += i) { w = 1; for (int k = j; k < j + (i >> 1); k++) { u = v[k]; t = (w * v[k + (i >> 1)]) % kMod; v[k] = (u + t) % kMod; v[k + (i >> 1)] = (u - t + kMod) % kMod; w = (w * wn) % kMod; } } } if (on) { inv = Rev(size); for (int i = 0; i < size; i++) v[i] = (v[i] * inv) % kMod; } return; }