Question: 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

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.

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