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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [점화식] 벽을 타일로 꾸미자!
원파
2020.09.02 09:35
조회 539
원형파이는 벽을 예쁜 타일 장식으로 꾸미려고 한다.
벽은 2*N 크기이다.
원형파이는 흰색 타일로만 벽을 꾸미길 바라는데, 갖고 있는 흰색 타일들에는 2*2짜리 타일과 1*2짜리 타일이 있다.
1*2짜리 타일들은 세로로 돌려서 2*1짜리 타일로 이용해도 된다.
또한 원형파이는 타일이 떨어지면 마법을 이용해 생성할 수 있다.
하지만 이 마법은 다른 크기의 타일을 만들 수는 없다. 무조건 2*2 아니면 1*2짜리를 생성할 수 있다.
N이 주어지면, 벽을 꾸밀 수 있는 가짓수를 10억7로 나눈 수를 구하여라.
(1) N = 1
(2) N = 2
(3) N = 100
(4) N = 100000
(5) N = 100000000
지금 바로
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