#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 500002 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 >> b >> w; mint ans = 0; if(b >= 2){ // 両端が0 int d = n-b*3+2; for(int x0 = 0; x0 <= b-1 && d+x0*2 <= w; x0++){ int x1 = w-(d+x0*2); if(x0+x1 > b-1) continue; int rem = b-1-(x0+x1); mint cb = comb(b-1, x0)*comb(b-1-x0, x1); if(rem == 0){ if(w == 0) ans += cb; }else{ ans += comb(w+rem-1, rem-1)*cb; } } } { // 一方が0 int d = n-b*3+1; for(int x0 = 0; x0 <= b-1 && d+x0*2 <= w; x0++){ int x1 = w-(d+x0*2); if(x0+x1 > b-1) continue; int rem = b-(x0+x1); mint cb = comb(b-1, x0)*comb(b-1-x0, x1); if(rem == 0){ if(w == 0) ans += cb*2; }else{ ans += comb(w+rem-1, rem-1)*2*cb; } } } { // 両方が0 int d = n-b*3; for(int x0 = 0; x0 <= b-1 && d+x0*2 <= w; x0++){ int x1 = w-(d+x0*2); if(x0+x1 > b-1) continue; int rem = b+1-(x0+x1); mint cb = comb(b-1, x0)*comb(b-1-x0, x1); if(rem == 0){ if(w == 0) ans += cb; }else{ ans += comb(w+rem-1, rem-1)*cb; } } } cout << ans << endl; }