시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 (추가 시간 없음) 1024 MB158776245.588%

문제

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 $1 \ldots 26$.

You are asked to write an AI that can play this game!

입력

The input consists of a single line with two integers $l$ ($0 < l \le 40$) and $w$ ($0 < w \le 1000$).

출력

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.

예제 입력 1

11 131

예제 출력 1

programming

예제 입력 2

7 96

예제 출력 2

contest

예제 입력 3

26 677

예제 출력 3

impossible