[Usaco2012 Dec]First!

时间限制:10s      空间限制:128MB

题目描述

Bessie has been playing with strings again. She found that by changing the order of the alphabet she could make some strings come before all the others lexicographically (dictionary ordering). For instance Bessie found that for the strings "omm", "moo", "mom", and "ommnom" she could make "mom" appear first using the standard alphabet and that she could make "omm" appear first using the alphabet "abcdefghijklonmpqrstuvwxyz". However, Bessie couldn't figure out any way to make "moo" or "ommnom" appear first. Help Bessie by computing which strings in the input could be lexicographically first by rearranging the order of the alphabet. To compute if string X is lexicographically before string Y find the index of the first character in which they differ, j. If no such index exists then X is lexicographically before Y if X is shorter than Y. Otherwise X is lexicographically before Y if X[j] occurs earlier in the alphabet than Y[j].

给定n个总长不超过m的互不相同的字符串,现在你可以任意指定字符之间的大小关系。问有多少个串可能成为字典
序最小的串,并输出这些串。n <= 30,000 , m <= 300,000


输入格式

* Line 1: A single line containing N (1 <= N <= 30,000), the number of strings Bessie is playing with.

* Lines 2..1+N: Each line contains a non-empty string. The total number of characters in all strings will be no more than 300,000. All characters in input will be lowercase characters 'a' through 'z'. Input will contain no duplicate strings.


输出格式

 * Line 1: A single line containing K, the number of strings that could be lexicographically first.

 * Lines 2..1+K: The (1+i)th line should contain the ith string that could be lexicographically first. Strings should be output in the same order they were given in the input. 


样例输入

 4
omm 
moo 
mom 
ommnom 
INPUT DETAILS: The example from the problem statement. 

样例输出

 2
omm 
mom 

OUTPUT DETAILS: Only "omm" and "mom" can be ordered first.

提示

没有写明提示


题目来源

没有写明来源