10050번: 블록

시간 제한	메모리 제한	제출	정답	맞힌 사람	정답 비율
1 초	128 MB	405	154	128	39.144%

문제

1 × 4N 크기의 격자의 맨 오른쪽 2N개의 칸에 블록이 놓여있다.

당신은 격자에 있는 연속한 두 개의 블록을 집어서 빈 칸에 놓을 수 있다. 이때 블록의 순서는 바뀌면 안 되며 블록을 놓을 때도 연속한 두 개의 빈 칸에 놓아야 한다.

위 그림에서, 첫 번째 그림은 맨 처음 상태에서 한 번 블록을 옮겨서 나올 수 있는 형태이고, 두 번째 그림은 그렇지 않은 형태이다.

당신은 블록을 최소한으로 옮겨서 N개의 'A' 블록과 N개의 'B' 블록이 연속하게 붙은 형태로 만들려고 한다. 즉, 마지막 상태는 아래와 같은 형태 중 한 가지 모습이여야 한다.

(가능한 마지막 상태는 위 두 경우를 포함해서 총 9가지이다.)

'A' 블록의 개수가 주어질 때 블록을 어떻게 옮겨야 하는지 구하는 프로그램을 작성하여라. 단, 반드시 최소 횟수로 옮겨야 함에 유의하여라.

입력

첫 번째 줄에 N이 주어진다. (3 ≤ N ≤ 100)

출력

몇 개의 줄에 블록을 옮기는 과정을 'X to Y' 형식으로 출력한다. 'X to Y'는, X, X+1번 칸의 블록을 Y, Y+1번 칸으로 옮기는 것을 의미한다. (-2N+1 ≤ X, Y ≤ 2N-1, X ≠ Y)

답이 여러 개이면 그중 아무거나 출력해도 된다.

예제 입력 1

예제 출력 1

8 to -1
3 to 8
6 to 3
0 to 6
9 to 0

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

출처

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