Reading List Genre Analysis

Alice has a reading list of books, each tagged by a genre. Your task is to analyze the list and determine two things:

• The number of unique genres present in the list.
• The genre or genres that appear most frequently. If there is a tie, output the tied genres in alphabetical order separated by a single space.

Note: The genres provided are case-sensitive. The input is read from standard input and the output should be printed to standard output.

In mathematical notation, if we define the set \(G\) of genres and a counting function \(f(g)\) for \(g \in G\), then you need to compute \(|G|\) and the set \(\{g \in G: f(g)=\max_{h \in G} f(h)\}\). The resulting set should be sorted in lexicographical order and printed as a space separated string.

inputFormat

The input is given via standard input and is structured as follows:

1. The first line contains an integer \(n\) representing the number of books.
2. The following \(n\) lines each contain a single string representing the genre of a book.

outputFormat

Print the analysis result on standard output in two lines:

• The first line contains the number of unique genres.
• The second line contains the most frequent genre(s) as a space separated string in lexicographical order.

## sample

7
mystery
fantasy
mystery
sci-fi
fantasy
fantasy
mystery

3
fantasy mystery

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