시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB109513948.148%

문제

준규는 화학과 대학원생이다. 준규의 랩에서는 최근 흥미로운 테입을 발견했다. 이 테입은 N개의 서로 같은 길이의 조각으로 이뤄져 있는데, 두 조각 사이는 쉽게 구부러지지만 정확히 180도로만 구부러진다.

테입의 한 면은 매우 불안정한 휘발성 화학물질로 코팅되어 있다. 만약 이 코팅된 면끼리 닿는다면 엄청난 폭발이 일어날 것이다.

테입의 다른 한 면은 아직 다 코팅이 끝나지 않아서, 테입의 처음 A개 조각과 끝의 B개 조각만 코팅이 되어 있다. 물론 이 면의 코팅도 같은 화학물질로 코팅되어 있기 때문에 서로 닿으면 폭발한다.

준규는 이 테입이 폭발하지 않도록 구부릴 수 있는 방법의 수를 알고싶어 한다. 이 테입은 한 번 이상 구부릴 수 있으며, 두 조각 사이를 구부린 방법이 하나라도 다르면 다른 방법으로 센다.

답이 매우 커질 수 있기 때문에 방법의 수를 10301로 나눈 나머지를 출력한다.

아래 예시는 N=4, A=1, B=1일 때 가능한 방법의 수를 나타낸 것이다. 단, 아래 그림에서는 편의를 위해 90도 구부린 것으로 그려져 있지만 실제 준규는 이 테입을 180도로 구부린다.

입력

입력의 첫 줄에 자연수 N, A, B(A>0, B>0, A+B ≤ N ≤ 1000)가 주어진다. N은 조각의 수, A는 테입의 왼쪽에 코팅된 조각의 수, B는 테잎의 오른쪽에 코팅된 조각의 수이다.

출력

가능한 방법의 수를 10301로 나눈 나머지를 출력한다.

예제 입력 1

4 1 1

예제 출력 1

6

예제 입력 2

5 2 2

예제 출력 2

1

예제 입력 3

6 1 2

예제 출력 3

7
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

출처

Contest > Croatian Open Competition in Informatics > COCI 2009/2010 > Contest #4 5번

  • 문제를 번역한 사람: arine
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