We found a dictionary of the Ancient Civilization Mayo (ACM) during excavation of the ruins. After analysis of the dictionary, we revealed they used a language that had not more than 26 letters. So one of us mapped each letter to a different English alphabet and typed all the words in the dictionary into a computer.
How the words are ordered in the dictionary, especially whether they are ordered lexicographically, is an interesting topic to many people. As a good programmer, you are requested to write a program to judge whether we can consider the words to be sorted in a lexicographical order.
In a lexicographical order, a word always precedes other words it is a prefix of.
abde, and so on.
The input consists of multiple datasets. Each dataset is formatted as follows:
n string_1 ... string_n
Each dataset consists of n+1 lines. The first line of each dataset contains an integer that indicates n (1 \leq n \leq 500). The i-th line of the following n lines contains string_i, which consists of up to 10 English lowercase letters.
The end of the input is
0, and this should not be processed.
no in a line for each dataset, in the order of the input.
If all words in the dataset can be considered to be ordered lexicographically, print
4 cba cab b a 3 bca ab a 5 abc acb b c c 5 abc acb c b b 0
yes no yes no