MOD = 998244353 def main(): import sys input = sys.stdin.read().split() N = int(input[0]) B = int(input[1]) W = int(input[2]) if B + W > N: print(0) return R = N - W numerator = 3 * B - R if numerator < 0 or numerator % 2 != 0: print(0) return k = numerator // 2 if k < 0 or k > B - 1: print(0) return m = B - k n = N - m - 1 if n < 0 or m < 0 or m > n: print(0) return # Precompute fact and inv_fact up to max needed value max_n = max(n, B) fact = [1] * (max_n + 1) for i in range(1, max_n + 1): fact[i] = fact[i-1] * i % MOD inv_fact = [1] * (max_n + 1) inv_fact[max_n] = pow(fact[max_n], MOD-2, MOD) for i in range(max_n-1, -1, -1): inv_fact[i] = inv_fact[i+1] * (i+1) % MOD def comb(n, k): if n < 0 or k < 0 or k > n: return 0 return fact[n] * inv_fact[k] % MOD * inv_fact[n - k] % MOD res = comb(n, m) print(res) if __name__ == '__main__': main()