# 仕組みはわかったが愚直な計算では間に合わない気がする N = int(input()) mod = 998244353 # nCrメモ化パッケージ factorial = [1] #0分 inverse = [1] #0分 for i in range(1, N+1): factorial.append(factorial[-1]*i%mod) inverse.append(pow(factorial[-1], mod-2, mod)) def nCr_fast(N, R, MOD): if N < R or R < 0: return 0 elif R == 0 or R == N: return 1 return factorial[N]*inverse[R]*inverse[N-R]%MOD ans = 0 if N%2 == 1: temp = N//2 for i in range(1, N+1, 2): calc = nCr_fast(N, temp, mod)*2 temp -= 1 ans += calc*pow(2, i, mod) ans %= mod #print('i', i, 'calc', calc, calc*pow(2, i, mod)) elif N%2 == 0: temp = N//2 for i in range(0, N+1, 2): calc = nCr_fast(N, temp, mod)*2 temp -= 1 ans += calc*pow(2, i, mod) ans %= mod #print('i', i, 'calc', calc, calc*pow(2, i, mod)) print(ans)