Justin likes to play a game called "Weight of Words." In this game, a player must find words of a given length and a given weight. The weight of a word is the sum of the weights of its letters. Letters are English lowercase characters from 'a' to 'z' and have weights from 1…26.
You are asked to write an AI that can play this game!
The input consists of a single line with two integers l (0<l≤40) and w (0<w≤1000).
Output a string of length l with weight w consisting of lowercase English letters if it exists, otherwise output impossible. If more than one string exists, you may output any of them.