Ten helicopters are assigned to search for a lost airplane; each of the helicopters can be used in one out of two possible regions where the airplane might be with the probabilities 0.8 and 0.2. How should one distribute the helicopters so that the probability of finding the airplane is the largest if each helicopter can find the lost plane within its region of search with the probability 0.2, and each helicopter searches independently? Determine the probability of finding the plane under optimal search conditions.