시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB36213110443.154%

문제

이 게임은 빨간 칩 r개와 초록 칩 g개를 책상 위에 놓고 진행한다. 두 플레이어 A와 B는 턴을 번갈아가면서 게임을 하며, A가 먼저 시작한다.

게임의 규칙은 간단하다. 자신의 턴이 돌아오면 두 색중 하나를 고른 뒤, 고른 색에 해당하는 칩 k개를 책상에서 제거한다. 이때, k는 고른 색의 칩의 수를 나누어 떨어지게 할 수 있어야 한다. 책상에서 마지막 칩을 제거한 사람이 게임을 이기게 된다.

게임을 항상 이길 수 있는 사람을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 r과 g가 주어진다. (1 ≤ r, g ≤ 109)

출력

A가 항상 이길 수 있다면 "A player wins"를, B가 항상 이길 수 있다면 "B player wins"를 출력한다.

예제 입력 1

2 1

예제 출력 1

A player wins
W3sicHJvYmxlbV9pZCI6Ijc3ODciLCJwcm9ibGVtX2xhbmciOiIwIiwidGl0bGUiOiJcdWJlNjhcdWFjMDQgXHVjZTY5LCBcdWNkMDhcdWI4NWQgXHVjZTY5IiwiZGVzY3JpcHRpb24iOiI8cD5cdWM3NzQgXHVhYzhjXHVjNzg0XHVjNzQwIFx1YmU2OFx1YWMwNCBcdWNlNjkgclx1YWMxY1x1YzY0MCBcdWNkMDhcdWI4NWQgXHVjZTY5IGdcdWFjMWNcdWI5N2MgXHVjYzQ1XHVjMGMxIFx1YzcwNFx1YzVkMCBcdWIxOTNcdWFjZTAgXHVjOWM0XHVkNTg5XHVkNTVjXHViMmU0LiBcdWI0NTAgXHVkNTBjXHViODA4XHVjNzc0XHVjNWI0IEFcdWM2NDAgQlx1YjI5NCBcdWQxMzRcdWM3NDQgXHViYzg4XHVhYzA4XHVjNTQ0XHVhYzAwXHViYTc0XHVjMTFjIFx1YWM4Y1x1Yzc4NFx1Yzc0NCBcdWQ1NThcdWJhNzAsIEFcdWFjMDAgXHViYTNjXHVjODAwIFx1YzJkY1x1Yzc5MVx1ZDU1Y1x1YjJlNC48XC9wPlxyXG5cclxuPHA+XHVhYzhjXHVjNzg0XHVjNzU4IFx1YWRkY1x1Y2U1OVx1Yzc0MCBcdWFjMDRcdWIyZThcdWQ1NThcdWIyZTQuIFx1Yzc5MFx1YzJlMFx1Yzc1OCBcdWQxMzRcdWM3NzQgXHViM2NjXHVjNTQ0XHVjNjI0XHViYTc0IFx1YjQ1MCBcdWMwYzlcdWM5MTEgXHVkNTU4XHViMDk4XHViOTdjIFx1YWNlMFx1Yjk3OCBcdWI0YTQsIFx1YWNlMFx1Yjk3OCBcdWMwYzlcdWM1ZDAgXHVkNTc0XHViMmY5XHVkNTU4XHViMjk0IFx1Y2U2OSBrXHVhYzFjXHViOTdjIFx1Y2M0NVx1YzBjMVx1YzVkMFx1YzExYyBcdWM4MWNcdWFjNzBcdWQ1NWNcdWIyZTQuIFx1Yzc3NFx1YjU0Yywga1x1YjI5NCBcdWFjZTBcdWI5NzggXHVjMGM5XHVjNzU4IFx1Y2U2OVx1Yzc1OCBcdWMyMThcdWI5N2MgXHViMDk4XHViMjA0XHVjNWI0IFx1YjVhOFx1YzViNFx1YzljMFx1YWM4YyBcdWQ1NjAgXHVjMjE4IFx1Yzc4OFx1YzViNFx1YzU3YyBcdWQ1NWNcdWIyZTQuIFx1Y2M0NVx1YzBjMVx1YzVkMFx1YzExYyBcdWI5YzhcdWM5YzBcdWI5YzkgXHVjZTY5XHVjNzQ0IFx1YzgxY1x1YWM3MFx1ZDU1YyBcdWMwYWNcdWI3OGNcdWM3NzQgXHVhYzhjXHVjNzg0XHVjNzQ0IFx1Yzc3NFx1YWUzMFx1YWM4YyBcdWI0MWNcdWIyZTQuPFwvcD5cclxuXHJcbjxwPlx1YWM4Y1x1Yzc4NFx1Yzc0NCBcdWQ1NmRcdWMwYzEgXHVjNzc0XHVhZTM4IFx1YzIxOCBcdWM3ODhcdWIyOTQgXHVjMGFjXHViNzhjXHVjNzQ0IFx1YWQ2Y1x1ZDU1OFx1YjI5NCBcdWQ1MDRcdWI4NWNcdWFkZjhcdWI3YThcdWM3NDQgXHVjNzkxXHVjMTMxXHVkNTU4XHVjMmRjXHVjNjI0LjxcL3A+XHJcbiIsImlucHV0IjoiPHA+XHVjY2FiXHVjOWY4IFx1YzkwNFx1YzVkMCByXHVhY2ZjIGdcdWFjMDAgXHVjOGZjXHVjNWI0XHVjOWM0XHViMmU0LiAoMSAmbGU7IHIsIGcgJmxlOyAxMDxzdXA+OTxcL3N1cD4pPFwvcD5cclxuIiwib3V0cHV0IjoiPHA+QVx1YWMwMCBcdWQ1NmRcdWMwYzEgXHVjNzc0XHVhZTM4IFx1YzIxOCBcdWM3ODhcdWIyZTRcdWJhNzQgJnF1b3Q7QSBwbGF5ZXIgd2lucyZxdW90O1x1Yjk3YywgQlx1YWMwMCBcdWQ1NmRcdWMwYzEgXHVjNzc0XHVhZTM4IFx1YzIxOCBcdWM3ODhcdWIyZTRcdWJhNzQgJnF1b3Q7QiBwbGF5ZXIgd2lucyZxdW90O1x1Yjk3YyBcdWNkOWNcdWI4MjVcdWQ1NWNcdWIyZTQuPFwvcD5cclxuIiwiaGludCI6IiIsIm9yaWdpbmFsIjoiMCIsImh0bWxfdGl0bGUiOiIwIiwicHJvYmxlbV9sYW5nX3Rjb2RlIjoiS29yZWFuIn0seyJwcm9ibGVtX2lkIjoiNzc4NyIsInByb2JsZW1fbGFuZyI6IjEiLCJ0aXRsZSI6IkdhbWUiLCJkZXNjcmlwdGlvbiI6IjxwPkluIHRoZSBiZWdpbm5pbmcgb2YgYSBnYW1lLCB0aGVyZSBhcmUgciByZWQgY2hpcHMgYW5kIGcgZ3JlZW4gY2hpcHMgb24gdGhlIGRlc2suIFR3byBwbGF5ZXJzIEEgYW5kIEIgbW92ZSBhbHRlcm5hdGVseSwgc3RhcnRpbmcgd2l0aCBBIGFuZCBhY2NvcmRpbmcgdG8gdGhlIGZvbGxvd2luZyBydWxlczogSWYgaXQmcnNxdW87cyB5b3VyIG1vdmUsIHlvdSBjaG9vc2UgYSBjb2xvciBhbmQgcmVtb3ZlIGsgY2hpcHMgb2YgdGhpcyBjb2xvciBmcm9tIHRoZSBkZXNrLiBIb3dldmVyLCBrIG11c3QgYmUgYSBkaXZpc29yIG9mIHRoZSBhY3R1YWwgbnVtYmVyIG9mIGNoaXBzIG9mIHRoZSBvdGhlciBjb2xvci4gWW91IHdpbiBpZiB5b3UgcmVtb3ZlIHRoZSBsYXN0IGNoaXAgZnJvbSB0aGUgZGVzay4gWW91ciB0YXNrIGlzIHRvIFx1ZmIwMW5kIHdoaWNoIHBsYXllciBjYW4gZm9yY2UgdG8gd2luIHRoaXMgZ2FtZS48XC9wPlxyXG4iLCJpbnB1dCI6IjxwPklucHV0IFx1ZmIwMWxlIGNvbnRhaW5zIHR3byBudW1iZXJzICZuZGFzaDsgciBhbmQgZyAoMSAmbGU7IHIsZyAmbGU7IDEwPHN1cD45PFwvc3VwPikgJm5kYXNoOyBzZXBhcmF0ZWQgYnkgYSBzcGFjZS48XC9wPlxyXG4iLCJvdXRwdXQiOiI8cD5PdXRwdXQgXHVmYjAxbGUgc2hvdWxkIGNvbnRhaW4gJnJkcXVvO0EgcGxheWVyIHdpbnMmcmRxdW87IGlmIHBsYXllciBBIGNhbiBmb3JjZSBnYW1lIHRvIHdpbiBhbmQgJnJkcXVvO0IgcGxheWVyIHdpbnMmcmRxdW87IG90aGVyd2lzZS48XC9wPlxyXG4iLCJoaW50IjoiIiwib3JpZ2luYWwiOiIxIiwiaHRtbF90aXRsZSI6IjAiLCJwcm9ibGVtX2xhbmdfdGNvZGUiOiJFbmdsaXNoIn1d

출처

Contest > KBTU Open > KBTU Open 2008 G번

  • 문제를 번역한 사람: baekjoon
  • 어색한 표현을 찾은 사람: shj5508