1. The referee team of the Junior Singer Grand Prix is composed of several people. Each referee will give the singer a whole number score no more than 1000 points. The scores for the first singer is as follows: the mean score given by all referees is 964 points; if only one highest score is excluded, the mean score given by all other referees is 960 points; and if only one lowest score is excluded, the mean score given by all other referees is 968 points. Let L be the lowest score among all referees, find the minimum possible value of L.
2. ^(x)-4)^(3)+(4^(x)-2)^(3)=(4^(x)+2^(x)-6)^(3)
is (p)/(q), where p and q are integers with no common positive divisors greater than 1 . Find p^(2)+q^(2).
