In the gibberish language of \textbf{N} symbols - the first \textbf{N }Latin letters. Unintelligible words contain all the letters, each letter found in the word once. Chief cryptographic linguist compiled a dictionary in which all possible words appear in alphabetical order. Help him find a word for his number. \InputFile Set the number of letters \textbf{N }(\textbf{2 <= N <= 12}) and the number of words\textbf{ k }(\textbf{1 <= k <= N!})\textbf{.} \OutputFile Display gibberish word.