#include #include using namespace std; using namespace atcoder; using mint = modint998244353; using ll = long long; #define all(x) x.begin(), x.end() #define rep(i, n) for (int i = 0; i < n; i++) const int MAX = 520000; const int MOD = 998244353; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll homop(int n, int k){ if (n == k && k == 0) return 1; return COM(n + k - 1, k); } int main(void) { COMinit(); int n, b, w; cin >> n >> b >> w; int y = n - b - w; int z = n - b; mint ans = 0; rep(one, b + 2){ if((y - one) % 2 == 0){ int two = (y - one) / 2; int zero = b + 1 - one - two; int summ = z - one - 2 * two; mint pat = COM(b - 1, two) * COM(zero + one, zero); ans += pat * homop(two, summ); } y++; if((y - one) % 2 == 0){ int two = (y - one) / 2; int zero = b + 1 - one - two; int summ = z - one - 2 * two; two--; mint pat = COM(b - 1, two) * COM(zero + one, zero); ans += 2 * pat * homop(two + 1, summ); } y++; if((y - one) % 2 == 0){ int two = (y - one) / 2; int zero = b + 1 - one - two; int summ = z - one - 2 * two; two-=2; mint pat = COM(b - 1, two) * COM(zero + one, zero); ans += pat * homop(two + 2, summ); } y -= 2; } cout << ans.val() << endl; return 0; }