시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB53859339113123263.777%

문제

4 × 3 = 12이다.

이 식을 통해 다음과 같은 사실을 알 수 있다.

3은 12의 약수이고, 12는 3의 배수이다.

4도 12의 약수이고, 12는 4의 배수이다.

두 수가 주어졌을 때, 다음 3가지 중 어떤 관계인지 구하는 프로그램을 작성하시오.

  1. 첫 번째 숫자가 두 번째 숫자의 약수이다.
  2. 첫 번째 숫자가 두 번째 숫자의 배수이다.
  3. 첫 번째 숫자가 두 번째 숫자의 약수와 배수 모두 아니다.

입력

입력은 여러 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 10,000이 넘지않는 두 자연수로 이루어져 있다. 마지막 줄에는 0이 2개 주어진다. 두 수가 같은 경우는 없다.

출력

각 테스트 케이스마다 첫 번째 숫자가 두 번째 숫자의 약수라면 factor를, 배수라면 multiple을, 둘 다 아니라면 neither를 출력한다.

예제 입력 1

8 16
32 4
17 5
0 0

예제 출력 1

factor
multiple
neither
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출처

ICPC > Regionals > South Pacific > South Pacific Region > New Zealand Programming Contest > NZPC 2011 A번

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