Viruses are capable of reproducing inside bacteria, essentially the bacteria's organism reproduces them. When a virus enters a bacterium, after a certain time, the bacterium dies and the resulting viruses are released.

Suppose a virus enters a colony of $n$ bacteria and immediately enters one of the bacteria; after one minute, 2 viruses are released from the infected bacterium, and during this time, the other bacteria each divide exactly once. (Each bacterium produces two new bacteria.) Thereafter, every newly released virus immediately infects one of the bacteria (each bacterium is infected by only one virus), and in these, 2-2 viruses are produced within one minute, while the other bacteria continue to divide.

Will the bacterial colony be wiped out - and if so, how long will it take?
As long as the bacterial population does not become extinct, viruses are capable of dividing. If there is still an uninfected bacterium at the $k$-th minute, then by the end of the $k$-th minute, $2^{k}$ viruses will be produced. Let us call the bacteria infected by these viruses $k$-type (thus, the first infected bacterium will be 0-type). If all viruses find a bacterium by the end of the $k$-th minute, then the number of $k$-type bacteria will be $2^{k}$.

Assume that every infected bacterium continues to divide, but the offspring inherit the type. If there is still an uninfected bacterium at the $m$-th minute, then by the end of the $m$-th minute, $2^{m}$ $(m-1)$-type bacteria will be produced. We will show that for every $k < m$, the number of offspring of $k$-type bacteria is $2^{m}$. Indeed, by the end of the $m$-th minute, the $k$-type bacteria will have divided $(m-k)$ times, so each $k$-type bacterium will have $2^{m-k}$ offspring. The $2^{k}$ $k$-type bacteria will together have $2^{k} \cdot 2^{m-k} = 2^{m}$ offspring. In total, there will be $n \cdot 2^{m}$ bacteria by the end of the $m$-th minute, of which $m \cdot 2^{m}$ are infected, so the number of uninfected bacteria will be $(n-m) 2^{m}$.

Therefore, generally $m < n$, and specifically, when $m = n-1$, we find that by the end of the $(n-1)$-th minute, there will be $2^{n-1}$ uninfected bacteria and $2^{n-1}$ viruses. Thus, by the end of the $(n-1)$-th minute, all bacteria will be infected, and by the end of the $n$-th minute, the population will become extinct.