시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

2 타워의 높이 H는\[2^{2^{2^{\cdot^{\cdot^{\cdot 2}}}}}\]에서 숫자 2가 나타나는 횟수로 정의된다. 2 타워의 값은 해당 표현식의 값으로 정의된다. 예를 들어, 높이 1의 2 타워 값은 2이고, 높이 2의 2 타워 값은 4이며, 높이 4의 2 타워 값은\[2^{2^{2^{2}}} = 65536\]이므로 높이 5의 2 타워 값은 265536이며 이 값은 2003...6736이고 다 쓰기에는 여백이 부족하다.

H의 값이 커짐에 따라 2 타워의 값이 너무 커지므로, 우리는 이 값을 3으로 나눈 나머지만이 궁금하다.

입력

입력의 첫째 줄에 높이 H가 주어진다. (1 ≤ H ≤ 10100)

출력

첫째 줄에 높이가 H인 2 타워의 값을 3으로 나눈 나머지를 출력하라.

예제 입력 1

1

예제 출력 1

2

예제 입력 2

2

예제 출력 2

1

예제 입력 3

99999999999999999999

예제 출력 3

1
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출처

ICPC > Regionals > Latin America > Latin America Regional Contests 2014 PB번

  • 문제를 번역한 사람: kipa00
  • 문제를 만든 사람: Pablo Ariel Heiber