The fever calendar

You will list the days of fever of a patient with malaria. Then you count the infected red cells in a simple model. Last, you find how many cycles are needed to reach a given number of cells.

The idea. In the model, every infected red cell releases 16 merozoites at a burst, and each merozoite infects a new red cell.

Your tasks.

1. Finish fever_days. It gives the list of days from the first fever to the last day.
2. Finish infected_cells. It gives the infected cells after some cycles.
3. Finish cycles_needed. It gives the smallest number of cycles after which at least target red cells are infected, with 16 merozoites from each cell.