In data compression, a set of strings is prefix-free if no string is a prefix of another. For example, the set of strings \(\{01,10,0010,1111\}\) is prefix-free, but the set of strings \(\{01,10,0010,1010\}\) is not prefix-free because 10 is a prefix of 1010 . Write a program that reads in a set of strings from standard input and determines whether the set is prefix-free.