# https://yukicoder.me/problems/no/3777 MOD = 998244353 # ソースコードの出典URL: https://github.com/LyricalMaestro/at_coder_snippets/blob/af67863a2fe7f16cce8325bbc531f89968bfa525/src/conbination.py class CombinationCalculator: """ modを考慮したPermutation, Combinationを計算するためのクラス """ def __init__(self, size, mod): self.mod = mod self.factorial = [0] * (size + 1) self.factorial[0] = 1 for i in range(1, size + 1): self.factorial[i] = (i * self.factorial[i - 1]) % self.mod self.inv_factorial = [0] * (size + 1) self.inv_factorial[size] = pow(self.factorial[size], self.mod - 2, self.mod) for i in reversed(range(size)): self.inv_factorial[i] = ((i + 1) * self.inv_factorial[i + 1]) % self.mod def calc_combination(self, n, r): if n < 0 or n < r or r < 0: return 0 if r == 0 or n == r: return 1 ans = self.inv_factorial[n - r] * self.inv_factorial[r] ans %= self.mod ans *= self.factorial[n] ans %= self.mod return ans def calc_permutation(self, n, r): if n < 0 or n < r: return 0 ans = self.inv_factorial[n - r] ans *= self.factorial[n] ans %= self.mod return ans def main(): N = int(input()) if N == 1: print(1) return elif N == 2: print(2) return dp = [[0] * (N + 1) for _ in range(N)] for i in range(N): if i <= 1: dp[i][1] += 1 dp[i][1] %= MOD for k in range(2, N + 1): if i - 2 >= 0: dp[i][k] += dp[i - 2][k - 1] dp[i][k] %= MOD if i - 3 >= 0: dp[i][k] += dp[i - 3][k - 1] dp[i][k] %= MOD combi = CombinationCalculator(N, MOD) answer = 0 for i in range(N - 2, N): for k in range(N + 1): a = dp[i][k] a *= combi.factorial[k] a %= MOD a *= combi.factorial[N - k] a %= MOD answer += a answer %= MOD print(answer) if __name__ == "__main__": main()