CF514C Watto and Mechanism

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.

The first line contains two non-negative numbers $ n $ and $ m $ ( $ 0

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).