Write a program for a theater that will keep track of how many people in each of 5 age categories attended a particular movie. use the 5 age categories listed below in the sample screen output. the user will enter a number of ages, entering a negative number when there are no more ages to enter. your program will then report on how many people in each age group attends.

Suppose there is a relation r(a, b, c) with a b+-tree index with search keys (a, b).1. what is the worst-case cost of finding records satisfying 10 < a < 50 using this index, in terms of the number of records n1, retrieved and the height h of the tree? 2. what is the worst-case cost of finding records satisfying 10 < a < 50 and 5 < b < 10 using this index, in terms of the number of records n2 that satisfy this selection, as well as n1 and h defined above? 3. under what conditions on n1 and n2, would the index be an efficient way of finding records satisfying the condition from part (2)?