Ace Consumer Mobiles (ACM) is currently receiving complaints about the quality of their mobile phone service in some locations of the city. Hence, your team needs to resolve the problem. As a starting point, your boss decides to check whether the current locations of the mobile base stations would cause some problems.

    The base stations of ACM works as follows. Each base station a operates with signal of a fixed
power level P_a . The physical laws state that the strength of the signal would then decrease proportional
to the squared distance between the user and the base station. That is, if the user is of Euclidean
distance d to some base station a, the signal strength that the user’s phone can sense from the base
station is Q_a = P_a / d².

    After several days of checking, you have an important finding. “Sir, I think I found the reason.
All the locations that raised complaints share one important property: competing signals between two
or more base stations.”

    “Very good”, your boss says. It is a known problem with this transmission protocol, then. Let’s
say that a phone senses signals of strength Q_a and Q_b from base stations a and b. If both Q_a and Q_b are no less than some level , the two signals would compete with each other, making the mobile phone unable to function perfectly.

    The ideal solution, then, is to decrease the power level of some of the base stations. But there are too many base stations to be tuned individually. Thus, your boss decides to try an approximate solution. “Can we set the P_a of every base station a to a constant to avoid the hazard of competing signals?”

    Now, it is you, the engineer, who has to answer this question from your boss.