시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB54324521949.103%

문제

음이 아닌 b진법 정수 p와 m이 주어졌을 때, p를 m으로 나눈 나머지를 b진법으로 구하는 프로그램을 작성하시오.

p를 m으로 나눈 나머지란 임의의 정수 a에 대해서 p = a*m + k를 만족하는 가장 작은 k를 말한다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 3개의 정수가 한 줄로 이루어져 있다. 첫 번째 숫자는 b이고, 2보다 크거나 같고, 10보다 작거나 같은 값을 가진다. 두 번째 숫자는 p이고, 세 번째 숫자는 m이다. p와 m은 0과 b-1사이의 수로만 이루어져 있고, p의 최대 길이는 1000, m의 최대 길이는 9이다.

마지막 줄에는 0이 하나 주어진다.

출력

각 테스트 케이스에 대해서, p를 m으로 나눈 나머지를 b진법으로 출력한다.

예제 입력 1

2 1100 101
10 123456789123456789123456789 1000
0

예제 출력 1

10
789
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출처

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