#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; } const ll MOD = 998244353; #define N_MAX 200002 mint inv[N_MAX],fac[N_MAX],finv[N_MAX]; void init(){ fac[0]=1;fac[1]=1; finv[0]=1;finv[1]=1; inv[1]=1; for(int i=2;i> n >> k >> x; k--; if(n == 1){ cout << 0 << endl; return 0; } mint ans = 0; for(int i = 0; i < n; i++){ int unused = i >= k ? n-i-1 : n-i-2; if(i < k){ mint ave = mint(n-2)*inv[2]; ans += ave*(unused*inv[n-2])*fac[n-i-1]*fac[n-1]; ans += (mint(n-x)*inv[n-1])*fac[n-i-1]*fac[n-1]; }else if(i == k){ int smaller = x-1; mint ave = smaller; ans += ave*(unused*inv[n-1])*fac[n-i-1]*fac[n-1]; }else{ mint ave = mint(n-2)*inv[2]; ans += ave*(unused*inv[n-2])*fac[n-i-1]*fac[n-1]; } } cout << ans << endl; }