Print a single integer~--- the expected number of rounds the team will play (including the inevitable ``Hyperblitz''), modulo $998\,244\,353$.

Formally, let $M = 998\,244\,353$. It can be shown that the expected number of rounds can be expressed as an irreducible fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \not \equiv 0 \pmod{M}$. Print the integer equal to $p \cdot q^{-1} \bmod M$. In other words, print such an integer $x$ that $0 \le x < M$ and $x \cdot q \equiv p \pmod{M}$.
