시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB730926725.769%

문제

창영이는 1학년 때 숙제로 했던 이중 연결 리스트 소스를 상근이에게 생일 선물로 보내주었다. 상근이는 드디어 자신이 원하던 기능이 있는 소스를 받게 되어서 매우 기뻤다. 상근이는 하루종일 이 리스트를 가지고 놀려고 한다.

리스트에는 총 N개의 노드가 포함되어 있고, 가장 왼쪽 노드가 1번이며 나머지는 오른쪽으로 갈 수록 1씩 번호가 증가한다. 리스트가 수행할 수 있는 연산은 아래와 같이 2가지이다.

A) 노드 X를 노드 Y의 앞으로 이동

B) 노드 X를 노드 Y의 뒤으로 이동

아래 그림은 노드가 6개인 이중 연결 리스트의 모습이다.

여기에 "A 1 4" 연산을 수행하면 아래와 같이 된다. (노드 1을 노드 4의 앞으로 이동)

그 다음, "B 3 5" 연산을 수행하면 아래 그림과 같은 모습이 된다. (노드 3을 노드 5의 뒤로 이동)

리스트를 가지고 다 논 다음에는 처음 상태로 다시 만들어야 한다. 따라서, 상근이는 리스트에 연산을 입력할 때 마다 종이에 적어두었다.

상근이가 입력한 연산이 모두 주어졌을 때, 처음 상태로 만들기 위해 리스트가 수행해야 하는 연산을 구하는 프로그램을 작성하시오. 이때, 연산을 되도록 적게 사용해야 한다.

입력

첫째 줄에 노드의 수 N과 연산의 수 M이 주어진다. (2 ≤ N ≤ 500,000, 0 ≤ M ≤ 100,000)

다음 M개 줄에는 상근이가 입력한 연산이 문제 설명에 나온 형식으로 주어진다.

출력

첫째 줄에 처음 상태로 만들기 위해서 필요한 연산의 최솟값을 출력한다. 이 값을 K라고 한다.

다음 K개 줄에는 리스트가 수행해야 하는 연산을 순서대로 출력한다.

예제 입력 1

2 1
A 2 1

예제 출력 1

1
A 1 2

예제 입력 2

4 3
B 1 2
A 4 3
B 1 4

예제 출력 2

2
A 1 2
B 4 3

예제 입력 3

6 5
A 1 4
B 2 5
B 4 2
B 6 3
A 3 5

예제 출력 3

3
A 4 5
B 6 5
A 2 3
[{"problem_id":"3045","problem_lang":"0","title":"\uc774\uc911 \uc5f0\uacb0 \ub9ac\uc2a4\ud2b8","description":"<p>\ucc3d\uc601\uc774\ub294 1\ud559\ub144 \ub54c \uc219\uc81c\ub85c \ud588\ub358 \uc774\uc911 \uc5f0\uacb0 \ub9ac\uc2a4\ud2b8 \uc18c\uc2a4\ub97c \uc0c1\uadfc\uc774\uc5d0\uac8c \uc0dd\uc77c \uc120\ubb3c\ub85c \ubcf4\ub0b4\uc8fc\uc5c8\ub2e4. \uc0c1\uadfc\uc774\ub294 \ub4dc\ub514\uc5b4 \uc790\uc2e0\uc774 \uc6d0\ud558\ub358 \uae30\ub2a5\uc774 \uc788\ub294 \uc18c\uc2a4\ub97c \ubc1b\uac8c \ub418\uc5b4\uc11c \ub9e4\uc6b0 \uae30\ubee4\ub2e4. \uc0c1\uadfc\uc774\ub294 \ud558\ub8e8\uc885\uc77c \uc774 \ub9ac\uc2a4\ud2b8\ub97c \uac00\uc9c0\uace0 \ub180\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9ac\uc2a4\ud2b8\uc5d0\ub294 \ucd1d N\uac1c\uc758 \ub178\ub4dc\uac00 \ud3ec\ud568\ub418\uc5b4 \uc788\uace0, \uac00\uc7a5 \uc67c\ucabd \ub178\ub4dc\uac00 1\ubc88\uc774\uba70 \ub098\uba38\uc9c0\ub294 \uc624\ub978\ucabd\uc73c\ub85c \uac08 \uc218\ub85d 1\uc529 \ubc88\ud638\uac00 \uc99d\uac00\ud55c\ub2e4. \ub9ac\uc2a4\ud2b8\uac00 \uc218\ud589\ud560 \uc218 \uc788\ub294 \uc5f0\uc0b0\uc740 \uc544\ub798\uc640 \uac19\uc774 2\uac00\uc9c0\uc774\ub2e4.<\/p>\r\n\r\n<p>A) \ub178\ub4dc X\ub97c \ub178\ub4dc Y\uc758 \uc55e\uc73c\ub85c \uc774\ub3d9<\/p>\r\n\r\n<p>B) \ub178\ub4dc X\ub97c \ub178\ub4dc Y\uc758 \ub4a4\uc73c\ub85c \uc774\ub3d9<\/p>\r\n\r\n<p>\uc544\ub798 \uadf8\ub9bc\uc740 \ub178\ub4dc\uac00 6\uac1c\uc778 \uc774\uc911 \uc5f0\uacb0 \ub9ac\uc2a4\ud2b8\uc758 \ubaa8\uc2b5\uc774\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/5b34905c-567f-483d-860a-b80667f0c7f9\/-\/preview\/\" style=\"width: 518px; height: 55px;\" \/><\/p>\r\n\r\n<p>\uc5ec\uae30\uc5d0 &quot;A 1 4&quot; \uc5f0\uc0b0\uc744 \uc218\ud589\ud558\uba74 \uc544\ub798\uc640 \uac19\uc774 \ub41c\ub2e4. (\ub178\ub4dc 1\uc744 \ub178\ub4dc 4\uc758 \uc55e\uc73c\ub85c \uc774\ub3d9)<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/7609bf26-d382-4c89-8c03-af85246548bc\/-\/preview\/\" style=\"width: 518px; height: 54px;\" \/><\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c, &quot;B 3 5&quot; \uc5f0\uc0b0\uc744 \uc218\ud589\ud558\uba74 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\uc740 \ubaa8\uc2b5\uc774 \ub41c\ub2e4. (\ub178\ub4dc 3\uc744 \ub178\ub4dc 5\uc758 \ub4a4\ub85c \uc774\ub3d9)<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/35803717-9d37-4a98-9c17-e5538914a134\/-\/preview\/\" style=\"width: 518px; height: 55px;\" \/><\/p>\r\n\r\n<p>\ub9ac\uc2a4\ud2b8\ub97c \uac00\uc9c0\uace0 \ub2e4 \ub17c \ub2e4\uc74c\uc5d0\ub294 \ucc98\uc74c \uc0c1\ud0dc\ub85c \ub2e4\uc2dc \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4. \ub530\ub77c\uc11c, \uc0c1\uadfc\uc774\ub294 \ub9ac\uc2a4\ud2b8\uc5d0 \uc5f0\uc0b0\uc744 \uc785\ub825\ud560 \ub54c \ub9c8\ub2e4 \uc885\uc774\uc5d0 \uc801\uc5b4\ub450\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uac00 \uc785\ub825\ud55c \uc5f0\uc0b0\uc774 \ubaa8\ub450 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucc98\uc74c \uc0c1\ud0dc\ub85c \ub9cc\ub4e4\uae30 \uc704\ud574 \ub9ac\uc2a4\ud2b8\uac00 \uc218\ud589\ud574\uc57c \ud558\ub294 \uc5f0\uc0b0\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uc774\ub54c, \uc5f0\uc0b0\uc744 \ub418\ub3c4\ub85d \uc801\uac8c \uc0ac\uc6a9\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub178\ub4dc\uc758 \uc218 N\uacfc \uc5f0\uc0b0\uc758 \uc218 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; N &le; 500,000, 0 &le; M &le; 100,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c M\uac1c \uc904\uc5d0\ub294 \uc0c1\uadfc\uc774\uac00 \uc785\ub825\ud55c \uc5f0\uc0b0\uc774 \ubb38\uc81c \uc124\uba85\uc5d0 \ub098\uc628 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ucc98\uc74c \uc0c1\ud0dc\ub85c \ub9cc\ub4e4\uae30 \uc704\ud574\uc11c \ud544\uc694\ud55c \uc5f0\uc0b0\uc758 \ucd5c\uc19f\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc774 \uac12\uc744 K\ub77c\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c K\uac1c \uc904\uc5d0\ub294 \ub9ac\uc2a4\ud2b8\uac00 \uc218\ud589\ud574\uc57c \ud558\ub294 \uc5f0\uc0b0\uc744 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3045","problem_lang":"1","title":"LISTA","description":"<p>Mirko received a birthday present from his aunt in the US &ndash; a brand-new doubly-linked list (an example of which is shown in the figure below). The list contains N nodes numbered 1 through N. Two types of moves can be done on the list:&nbsp;<\/p>\r\n\r\n<p>A) Move node X in front of node Y.&nbsp;<\/p>\r\n\r\n<p>B) Move node X after node Y.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/5b34905c-567f-483d-860a-b80667f0c7f9\/-\/preview\/\" style=\"width: 518px; height: 55px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">An example of a list with 6 nodes.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/7609bf26-d382-4c89-8c03-af85246548bc\/-\/preview\/\" style=\"width: 518px; height: 54px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">The list after the move &quot;A 1 4&quot;.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/35803717-9d37-4a98-9c17-e5538914a134\/-\/preview\/\" style=\"width: 518px; height: 55px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">The list after another move, &quot;B 3 5&quot;.&nbsp;<\/p>\r\n\r\n<p>Mirko played with his new toy for hours, writing down each move on a piece of paper so that he can reconstruct the list&#39;s initial state (nodes 1 through N in order from left to right).&nbsp;<\/p>\r\n\r\n<p>When he decided to reconstruct the list, Mirko was astonished to find that there is no easy way to invert the moves and restore the list&#39;s initial state. Mirko cannot know where node X was prior to each move, only where it ended up.&nbsp;<\/p>\r\n\r\n<p>Seeing how Mirko is still recovering from the shock, write a program that finds a minimal sequence of moves that restored the list&#39;s initial state from Mirko&#39;s logs.<\/p>\r\n","input":"<p>The first line of input contains two integers N and K (2 &le; N &le; 500 000, 0 &le; M &le; 100 000), the number of nodes and the number of moves made by Mirko.&nbsp;<\/p>\r\n\r\n<p>Each of the next M rows contains a description of a single move made by Mirko &ndash; the type of move (&#39;A&#39; or &#39;B&#39;) and two integers X and Y.&nbsp;<\/p>\r\n","output":"<p>Output the minimum number of moves (call this number K) on the first line.&nbsp;<\/p>\r\n\r\n<p>Each of the next K lines should contain a description of a single move in the same format as in the input.&nbsp;<\/p>\r\n\r\n<p>Note: The sequence need not be unique.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2006/2007 > Contest #3 6번