시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB17451220110773.214%

문제

맨 앞자리에 앉은 상근이는 수업시간이 아무리 지루해도 딴짓을 할 수가 없다. 그런데 오늘은 너무 딴짓이 하고 싶다.

공책에 정인이에게 배운 숫자 카드놀이를 하려고 한다.

숫자 카드놀이를 하려면 먼저 자연수 S를 골라야 한다. 그 다음, 각 자리를 모두 곱하면서 한 자리 수가 나오기 전까지 계속해서 새로운 수를 만드는 게임이다.

예를 들어, 95로 시작한다면, 9 × 5 = 45를 얻게 된다. 45도 두 자리 이상이기 때문에, 4 × 5 = 20를 얻게 된다. 그 다음 2 × 0 = 0 이 되고, 0은 한 자리 숫자이기 때문에 게임은 끝나게 된다.

또, 396에서 시작한다면, 아래와 같은 과정을 거쳐 2로 끝나게 된다.

3 × 9 × 6 = 162 

1 × 6 × 2 = 12 

1 × 2 = 2 

자연수 S가 주어졌을 때, 숫자 카드놀이를 하는 과정을 출력하는 프로그램을 작성하시오.

입력

입력은 여러 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 숫자 카드놀이의 시작값 S로 이루어져 있다. (1 ≤ S ≤ 100000) S는 0으로 시작하지 않으며, 입력의 마지막 줄에는 0이 하나 주어진다.

출력

0이 아닌 입력에 대해서, 숫자 카드놀이가 끝나기 전 까지 나온 수를 공백으로 구분하여 출력한다. 첫 값은 입력으로 주어진 값이다.

예제 입력 1

95
396
28
4
40
0

예제 출력 1

95 45 20 0
396 162 12 2
28 16 6
4
40 0
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