MOD = 998244353 def main(): import sys input = sys.stdin.read N, M, K = map(int, input().split()) if K == 0: print(0) return max_fact = max(M, K) # Precompute factorial and inverse factorial modulo MOD fact = [1] * (max_fact + 1) for i in range(1, max_fact + 1): fact[i] = fact[i-1] * i % MOD inv_fact = [1]*(max_fact +1) inv_fact[max_fact] = pow(fact[max_fact], MOD-2, MOD) for i in range(max_fact-1, -1, -1): inv_fact[i] = inv_fact[i+1] * (i+1) % MOD # Calculate C(M, K) if M < K: cmk = 0 else: cmk = fact[M] * inv_fact[K] % MOD cmk = cmk * inv_fact[M - K] % MOD # Precompute M^N mod MOD pow_m = pow(M, N, MOD) sum_terms = 0 for i in range(0, K+1): # Compute C(K, i) comb_ki = fact[K] * inv_fact[i] % MOD comb_ki = comb_ki * inv_fact[K - i] % MOD # (-1)^i mod MOD term_sign = 1 if i % 2 == 0 else MOD -1 base = (M + K - i) % MOD a = pow(base, N, MOD) b = pow_m current = (a - b) % MOD current = (current + MOD) % MOD # Ensure non-negative term = (term_sign * comb_ki) % MOD term = (term * current) % MOD sum_terms = (sum_terms + term) % MOD ans = (cmk * sum_terms) % MOD print(ans) if __name__ == "__main__": main()