N = int(input())
mod = 998244353
inv2 = pow(2, mod - 2, mod)
inv3 = pow(3, mod - 2, mod)
inv5 = pow(5, mod - 2, mod)
ans = 0
pre = [inv5] * 5
for i in range(N):
    for j in range(1, 4):
        ans += pre[j]
        ans %= mod
    dp = [0, 0, 0, 0 ,0]
    dp[0] = (pre[0] * inv2 + pre[1] * inv3) % mod
    dp[1] = (pre[0] * inv2 + pre[1] * inv3 + pre[2] * inv3) % mod
    dp[2] = (pre[1] * inv3 + pre[2] * inv3 + pre[3] * inv3) % mod
    dp[3] = (pre[4] * inv2 + pre[3] * inv3 + pre[2] * inv3) % mod
    dp[4] = (pre[4] * inv2 + pre[3] * inv3) % mod
    dp, pre = pre, dp
    
print(ans)