시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 (추가 시간 없음) 1024 MB (추가 메모리 없음)78631827942.595%

문제

양의 정수 $x$의 모든 자릿수가 같은 숫자로 이루어져 있다면, 그런 $x$를 RUN 수라고 한다. 예를 들어, $4$, $111$, $888\, 888$은 RUN 수이지만, $27$, $334$, $100\, 000$은 아니다.

$N$자리 수 $K$가 주어지면, $K$를 최대 $(N+1)$개의 RUN 수의 합으로 표현하라. 이는 항상 가능함을 증명할 수 있다.

입력

첫 번째 줄에는 테스트 케이스의 개수 $T$가 주어진다.

각 테스트 케이스는 두 정수 $N$과 $K$가 한 줄에 공백으로 구분되어 주어진다.

출력

각 테스트 케이스에 대해서,

  • 첫 번째 줄에는 더해서 $K$를 만들 RUN 수의 개수 $M$을 출력한다. ($1\le M\le N+1$)
  • 두 번째 줄에는 해당하는 $M$개의 RUN 수를 공백으로 구분해서 출력한다. 만약 답이 여러 개 존재한다면, 그 중 아무거나 출력하면 된다.

제한

  • $1\le T\le 100$
  • $1\le N\le 17$
  • $10^{N-1}\le K<10^N$. 즉, $K$는 $N$자리 수이다.

서브태스크

번호배점제한
15

$N \le 2$

210

$N \le 5$

325

$K = \overline{s_{1}s_{2}\ldots s_{N} }$로 표현하면, $s_{1} \le s_{2} \le \cdots \le s_{N-1} \le s_{N}$을 만족한다. 즉, $K$의 각 자리 숫자는 단조증가한다.

460

추가적인 제약 조건이 없다.

예제 입력 1

2
4 2024
3 506

예제 출력 1

4
999 999 22 4
3
444 55 7

예제 입력 2

2
17 99999999999999999
9 333666999

예제 출력 2

1
99999999999999999
3
333333333 333333 333
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

출처

University > KAIST > KAIST RUN Spring Contest > 2024 KAIST RUN Spring Contest A번

채점 및 기타 정보

  • 예제는 채점하지 않는다.