An aeroplane company has developed a new plane model and wants to test it$.$ When the team is flying a plane, they begin by collecting data about its height at various points of time. They use this data to create a graph of the plane's height over time. This allows them to visualize the pattern of increase and decrease in height.

To determine the plane's maximum capabilities, they must identify the longest time interval in which the height strictly increases, reaches the peak height, and then strictly deqreases.