시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB68023317941.531%

문제

백준이와 동혁이는 곱셈 게임을 하려고 한다. 이 게임은 정수 p에 2와 9를 포함하는 그 사이의 숫자 중 하나를 곱하면 되는 게임이다. 

제일 처음에 p=1로 시작하고, 1 < n < 4294967295을 만족하는 n을 정해 놓는다.

게임은 항상 백준이가 먼저 시작한다. 백준이가 p에 2~9숫자중 하나를 곱한 뒤, 동혁이가 곱하고, 다시 백준이가 곱하는 방식으로 서로 턴을 번갈아가면서 게임을 한다.

이때, p ≥ n에 먼저 도달하는 사람이 이기게 된다.

백준이와 동혁이가 항상 완벽하게 게임을 할 때, 이기는 사람이 누구인지 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 한 줄로 이루어져 있고, n이 주어진다.

출력

각 테스트 케이스에 대해서, 백준이가 이길 때는 "Baekjoon wins."를, 동혁이가 이길 때는 "Donghyuk wins."를 출력한다.

예제 입력 1

162
17
34012226

예제 출력 1

Baekjoon wins.
Donghyuk wins.
Baekjoon wins.
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

출처

Contest > Waterloo's local Programming Contests > 22 September, 2001 E번