In an office space, there's a floor filled with cubicles that are divided by shoulder-height partitions, allowing a seated person some privacy but enabling individuals to see across the office when standing up. Imagine Eunji works in such an office space and finds herself trying to get the attention of her colleague, Priyanka, who sits in a cubicle at the opposite end of the office. Eunji is short, and even standing, she can barely see over the partitions, while Priyanka is quite tall, easily able to look over them when standing. Between them is Raj, a medium-height individual who is walking amongst the aisles, and can be seen moving around when both Eunji and Priyanka stand. 

One day, Eunji tries to communicate with Priyanka using visual signals. Eunji has two options: firstly, she can wave a large flag she keeps for office parties above her cubicle walls while standing, tall enough to be seen by someone at Priyanka's height. Secondly, she can try to make direct eye contact with Priyanka by standing on her tiptoes, though this is quite a stretch. Raj, in his wandering, occupies different positions: when he's in a direct line of sight between Eunji and Priyanka, he can temporarily block the view depending on where he stops.

Assuming Priyanka is standing and Raj is intermittently walking through the office space, what is the best way for Eunji to ensure Priyanka notices her signals? Consider the likelihood of Priyanka seeing Eunji's visual signals versus the possibility that Raj might impede the line of sight.
Given the height limits of Eunji, and the height advantage that Priyanka has combined with Raj's wandering, the best method for Eunji to ensure that Priyanka notices her is to use the large flag. When Eunji waves the large flag above the cubicle partitions, she significantly increases the visibility of her signaling attempt. It is tall enough to be seen by Priyanka who is already capable of looking over the partitions when standing. 

The various heights of the partitions and the individuals involved play a critical role in this decision. For the tiptoe method to be effective, Eunji's line of sight would need to be clear of any obstacles, in this case, Raj. Since Raj is moving, there might be moments when he unintentionally blocks the view between Eunji and Priyanka. In this scenario, if Eunji were time her efforts poorly, she might attempt to make eye contact just as Raj is passing by, resulting in a failed communication attempt.

On the other hand, the larger flag is not only taller than Eunji, but it is also likely to be taller than Raj, which means that Raj is less likely to obstruct the visibility of the flag completely as he moves through his aisles. Even if Raj momentarily obscures a portion of the flag, the movement and the exposed areas above or around him might still catch Priyanka's attention - especially since the flag is distinct and meant to be noticed in celebrations.

Furthermore, even if Priyanka is looking elsewhere momentarily, the persistent waving of the flag is likely to enter her field of view at some point, as it is above the static division of the workspace (the cubicle partitions). This method does not require Eunji to constantly hold the flag up at the right moment, unlike her trying to achieve direct eye contact, which needs precise timing when both must be looking at each other at the same time without Raj in between.

In light of these considerations, Eunji's use of the large flag to signal Priyanka stands a much better chance of success in catching Priyanka's attention, despite any possible obstructions caused by Raj's movements through the space.