Watto, the owner of a spare parts store, has recently got an order for the mechanism that can process strings in a certain way. Initially the memory of the mechanism is filled with n strings. Then the mechanism should be able to process queries of the following type: "Given string s , determine if the memory of the mechanism contains string t that consists of the same number of characters as s and differs from s in exactly one position". Watto has already compiled the mechanism, all that's left is to write a program for it and check it on the data consisting of n initial lines and m queries. He decided to entrust this job to you.

输入描述:

The first line contains two non-negative numbers n and m (0 ≤ n ≤ 3·105, 0 ≤ m ≤ 3·105) — the number of the initial strings and the number of queries, respectively.Next follow n non-empty strings that are uploaded to the memory of the mechanism.Next follow m non-empty strings that are the queries to the mechanism.The total length of lines in the input doesn't exceed 6·105. Each line consists only of letters 'a', 'b', 'c'.

输出描述:

For each query print on a single line "YES" (without the quotes), if the memory of the mechanism contains the required string, otherwise print "NO" (without the quotes).