Bacterial Reproduction

Chef has a rooted tree with $N$ vertices (numbered $1$ through $N$); vertex $1$ is the root of the tree. Initially, there are some bacteria in its vertices. Let's denote the number of sons of vertex $v$ by $s_v$; a leaf is a vertex without sons. During each second, the following events happen: - For each non-leaf vertex $v$, if there are $x$ bacteria in this vertex at the start of this second, th