#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; constexpr int FACT_SIZE = 1000000; mint Fact[FACT_SIZE + 1]; mint iFact[FACT_SIZE + 1]; const auto fact_init = [] { Fact[0] = mint::raw(1); for(int i = 1; i <= FACT_SIZE; ++i) { Fact[i] = Fact[i-1] * i; } iFact[FACT_SIZE] = Fact[FACT_SIZE].inv(); for(int i = FACT_SIZE; i; --i) { iFact[i-1] = iFact[i] * i; } return false; }(); mint comb(int n, int k) { if (k == 0) return mint::raw(1); assert(n >= 0 && k >= 0); if (k > n) return mint::raw(0); return Fact[n] * iFact[n - k] * iFact[k]; } mint icomb(int n, int k) { return iFact[n] * Fact[n - k] * Fact[k]; } mint fact(int n) {return Fact[n];} mint perm(int n, int k) { assert(0 <= n); return Fact[n] * iFact[n - k]; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, b, w; cin >> n >> b >> w; if (b == n) { cout << 1 << '\n'; return 0; } mint ans; int x = w - (n - 3 * b); for(int c2 = 0;; c2++) { int c1 = x - 2 * c2; if (c1 < 0) break; rep(s, 4) { mint cnt = 1; int r1 = 2, r2 = b - 1; int p = c1, q = c2; rep(i, 2) if (s >> i & 1) { r1--; p--; } if (p < 0) continue; if (p > r2) continue; cnt *= comb(r2, p); r2 -= p; if (r2 < q) continue; cnt *= comb(r2, q); r2 -= q; int r = r1 + r2; int rest = n + 3 - 2 * c1 - c2 - 3 * r; cnt *= comb(rest + r - 1, rest); ans += cnt; } } cout << ans.val() << '\n'; }