import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################

mod = 998244353
n = ni()-1
m5 = pow(5, mod-2, mod)
dp = [m5, m5*2, m5*2]
ans = 3 * m5 % mod


m3 = pow(3, mod-2, mod)
m2 = pow(2, mod-2, mod)
for i in range(n):
    dp = [dp[0] * m3 + dp[1] * m3, dp[0] * m3 * 2+ dp[1] * m3 + dp[2] * m2, dp[1] * m3 + dp[2] * m2]
    dp[0] %= mod
    dp[1] %= mod
    dp[2] %= mod
    #print([x * 15 % mod for x in dp])
    ans += dp[0] + dp[1]
    ans %= mod
print(ans)