시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 41 10 9 28.125%

문제

주연이는 "Hangman"이라 불리는 게임을 하고 있다. 이 게임의 목표는 감춰진 알파벳을 모두 맞히는 게임이다.

맨 처음에 주연이가 맞춰야 할 단어의 각 알파벳은 '-'로 가려져있다. 그러면 주연이는 알파벳 하나를 고른다. 만약 그 알파벳이 단어에 포함되어 있다면 그 알파벳에 해당하는 모든 단어가 드러난다. 주연이가 모든 알파벳을 맞히면 게임은 끝난다.

주연이는 워낙 고수라 알파벳의 개수만 보고도 단어를 맞출 수 있다. 주연이는 가능한 한 빨리 게임을 끝내고 싶어한다.

단어를 선택하기 위해 주연이는 LEFT, RIGHT, OK라는 3개의 버튼을 사용한다

  • 화면에는 항상 한 개의 알파벳이 보여진다. 맨 처음에 보여지는 알파벳은 'A'이다.
  • "OK" 버튼을 누르면 화면에 나타난 단어를 선택하게 되고, 감춰진 단어에서 이 알파벳과 일치하는 부분이 드러난다. 이 때, 화면에 나타난 단어의 상태는 변하지 않는다.
  • "LEFT" 버튼을 누르면 화면의 알파벳이 이전 것으로 바뀐다. 예를 들어, C는 B로 되고 A는 Z로 된다.
  • "RIGHT" 버튼을 누르면 화면의 알파벳이 다음 것으로 바뀐다. 예를 들어, B는 C가 되고 Z는 A가 된다.

주연이가 버튼을 가장 적게 눌러서 게임을 끝낼 수 있는 방법을 알아내고, 그 방법으로 밝혀내야 할 알파벳의 순서를 출력하시오. (단, 정답이 여러개가 있다면 그 중 아무거나 출력하면 된다.)

입력

첫 줄에 감춰진 단어가 입력으로 들어온다. 단어의 길이는 1 이상이고 100 이하이며, 알파벳 대문자 또는 공백으로 이루어져있다. 또한 단어의 양 끝은 공백이 아니고, 공백은 최대 한 개가 있다.

출력

첫 줄에 게임을 끝내기 위해 버튼을 눌러야 하는 최소 횟수를 출력하시오.

두 번째 줄에는 위의 방법으로 버튼을 눌렀을 때, 알파벳을 밝혀지는 순서대로 출력하시오.

예제 입력 1

TURBO

예제 출력 1

19
BUTRO

힌트

예시에서 주연이는 다음의 순서로 버튼을 누르면 된다.

RIGHT, OK, LEFT 7번, OK, LEFT, OK, LEFT 2번, OK, LEFT 3번, OK

[{"problem_id":"3128","problem_lang":"0","title":"Hangman Game","description":"<p>\uc8fc\uc5f0\uc774\ub294 &quot;Hangman&quot;\uc774\ub77c \ubd88\ub9ac\ub294 \uac8c\uc784\uc744 \ud558\uace0 \uc788\ub2e4. \uc774 \uac8c\uc784\uc758 \ubaa9\ud45c\ub294 \uac10\ucdb0\uc9c4 \uc54c\ud30c\ubcb3\uc744 \ubaa8\ub450 \ub9de\ud788\ub294 \uac8c\uc784\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9e8 \ucc98\uc74c\uc5d0 \uc8fc\uc5f0\uc774\uac00 \ub9de\ucdb0\uc57c \ud560 \ub2e8\uc5b4\uc758 \uac01 \uc54c\ud30c\ubcb3\uc740 &#39;-&#39;\ub85c \uac00\ub824\uc838\uc788\ub2e4. \uadf8\ub7ec\uba74 \uc8fc\uc5f0\uc774\ub294 \uc54c\ud30c\ubcb3 \ud558\ub098\ub97c \uace0\ub978\ub2e4. \ub9cc\uc57d \uadf8 \uc54c\ud30c\ubcb3\uc774 \ub2e8\uc5b4\uc5d0 \ud3ec\ud568\ub418\uc5b4 \uc788\ub2e4\uba74 \uadf8 \uc54c\ud30c\ubcb3\uc5d0 \ud574\ub2f9\ud558\ub294 \ubaa8\ub4e0 \ub2e8\uc5b4\uac00 \ub4dc\ub7ec\ub09c\ub2e4. \uc8fc\uc5f0\uc774\uac00 \ubaa8\ub4e0 \uc54c\ud30c\ubcb3\uc744 \ub9de\ud788\uba74 \uac8c\uc784\uc740 \ub05d\ub09c\ub2e4.<\/p>\r\n\r\n<p>\uc8fc\uc5f0\uc774\ub294 \uc6cc\ub099 \uace0\uc218\ub77c \uc54c\ud30c\ubcb3\uc758 \uac1c\uc218\ub9cc \ubcf4\uace0\ub3c4 \ub2e8\uc5b4\ub97c \ub9de\ucd9c \uc218 \uc788\ub2e4. \uc8fc\uc5f0\uc774\ub294 \uac00\ub2a5\ud55c \ud55c \ube68\ub9ac \uac8c\uc784\uc744 \ub05d\ub0b4\uace0 \uc2f6\uc5b4\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e8\uc5b4\ub97c \uc120\ud0dd\ud558\uae30 \uc704\ud574 \uc8fc\uc5f0\uc774\ub294 LEFT, RIGHT, OK\ub77c\ub294 3\uac1c\uc758 \ubc84\ud2bc\uc744 \uc0ac\uc6a9\ud55c\ub2e4<\/p>\r\n\r\n<ul>\r\n\t<li>\ud654\uba74\uc5d0\ub294 \ud56d\uc0c1 \ud55c \uac1c\uc758 \uc54c\ud30c\ubcb3\uc774 \ubcf4\uc5ec\uc9c4\ub2e4. \ub9e8 \ucc98\uc74c\uc5d0 \ubcf4\uc5ec\uc9c0\ub294 \uc54c\ud30c\ubcb3\uc740 &#39;A&#39;\uc774\ub2e4.<\/li>\r\n\t<li>&quot;OK&quot; \ubc84\ud2bc\uc744 \ub204\ub974\uba74 \ud654\uba74\uc5d0 \ub098\ud0c0\ub09c \ub2e8\uc5b4\ub97c \uc120\ud0dd\ud558\uac8c \ub418\uace0, \uac10\ucdb0\uc9c4 \ub2e8\uc5b4\uc5d0\uc11c \uc774 \uc54c\ud30c\ubcb3\uacfc \uc77c\uce58\ud558\ub294 \ubd80\ubd84\uc774 \ub4dc\ub7ec\ub09c\ub2e4. \uc774 \ub54c, \ud654\uba74\uc5d0 \ub098\ud0c0\ub09c \ub2e8\uc5b4\uc758 \uc0c1\ud0dc\ub294 \ubcc0\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n\t<li>&quot;LEFT&quot; \ubc84\ud2bc\uc744 \ub204\ub974\uba74 \ud654\uba74\uc758 \uc54c\ud30c\ubcb3\uc774 \uc774\uc804 \uac83\uc73c\ub85c \ubc14\ub010\ub2e4. \uc608\ub97c \ub4e4\uc5b4, C\ub294 B\ub85c \ub418\uace0 A\ub294 Z\ub85c \ub41c\ub2e4.<\/li>\r\n\t<li>&quot;RIGHT&quot; \ubc84\ud2bc\uc744 \ub204\ub974\uba74 \ud654\uba74\uc758 \uc54c\ud30c\ubcb3\uc774 \ub2e4\uc74c \uac83\uc73c\ub85c \ubc14\ub010\ub2e4. \uc608\ub97c \ub4e4\uc5b4, B\ub294 C\uac00 \ub418\uace0 Z\ub294 A\uac00 \ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc8fc\uc5f0\uc774\uac00 \ubc84\ud2bc\uc744 \uac00\uc7a5 \uc801\uac8c \ub20c\ub7ec\uc11c \uac8c\uc784\uc744 \ub05d\ub0bc \uc218 \uc788\ub294 \ubc29\ubc95\uc744 \uc54c\uc544\ub0b4\uace0, \uadf8 \ubc29\ubc95\uc73c\ub85c \ubc1d\ud600\ub0b4\uc57c \ud560 \uc54c\ud30c\ubcb3\uc758 \uc21c\uc11c\ub97c \ucd9c\ub825\ud558\uc2dc\uc624. (\ub2e8, \uc815\ub2f5\uc774 \uc5ec\ub7ec\uac1c\uac00 \uc788\ub2e4\uba74 \uadf8 \uc911 \uc544\ubb34\uac70\ub098 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.)<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \uac10\ucdb0\uc9c4 \ub2e8\uc5b4\uac00 \uc785\ub825\uc73c\ub85c \ub4e4\uc5b4\uc628\ub2e4. \ub2e8\uc5b4\uc758 \uae38\uc774\ub294 1 \uc774\uc0c1\uc774\uace0 100 \uc774\ud558\uc774\uba70, \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790 \ub610\ub294 \uacf5\ubc31\uc73c\ub85c \uc774\ub8e8\uc5b4\uc838\uc788\ub2e4. \ub610\ud55c \ub2e8\uc5b4\uc758 \uc591 \ub05d\uc740 \uacf5\ubc31\uc774 \uc544\ub2c8\uace0, \uacf5\ubc31\uc740 \ucd5c\ub300 \ud55c \uac1c\uac00 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uccab \uc904\uc5d0 \uac8c\uc784\uc744 \ub05d\ub0b4\uae30 \uc704\ud574 \ubc84\ud2bc\uc744 \ub20c\ub7ec\uc57c \ud558\ub294 \ucd5c\uc18c \ud69f\uc218\ub97c \ucd9c\ub825\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 \uc704\uc758 \ubc29\ubc95\uc73c\ub85c \ubc84\ud2bc\uc744 \ub20c\ub800\uc744 \ub54c, \uc54c\ud30c\ubcb3\uc744 \ubc1d\ud600\uc9c0\ub294 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud558\uc2dc\uc624.<\/p>\r\n","hint":"<p>\uc608\uc2dc\uc5d0\uc11c \uc8fc\uc5f0\uc774\ub294 \ub2e4\uc74c\uc758 \uc21c\uc11c\ub85c \ubc84\ud2bc\uc744 \ub204\ub974\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>RIGHT, OK, LEFT 7\ubc88, OK, LEFT, OK, LEFT 2\ubc88, OK, LEFT 3\ubc88, OK<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3128","problem_lang":"1","title":"VJE\u0160ALA","description":"<p>Ivica is playing &quot;Hangman&quot; on his mobile phone. The goal of the game is to uncover letters in a secret phrase.&nbsp;<\/p>\r\n\r\n<p>Initially, all letters in the secret phrase are obscured by dashes (one for each letter). Ivica chooses which letter to uncover next; if that letter appears in the secret phrase, then all its occurrences are revealed. The game ends after Ivica guesses all the letters.&nbsp;<\/p>\r\n\r\n<p>Ivica plays this game all too often and has learned to recognize many of the phrases just by looking at the layout of the dashes. When he recognizes a phrase, Ivica wants to type it in as quickly as possible.&nbsp;<\/p>\r\n\r\n<p>To select the next letter, Ivica uses three keys; LEFT, RIGHT and OK.&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>One letter is always displayed on screen. Initially this is the letter A.&nbsp;<\/li>\r\n\t<li>When OK is pressed, the letter displayed is selected and all its occurrences revealed. The letter remains displayed.&nbsp;<\/li>\r\n\t<li>When LEFT is pressed, the previous letter is displayed (for example, C becomes B, Z becomes A).&nbsp;<\/li>\r\n\t<li>When RIGHT is pressed, the next letter is displayed (for example, B becomes C, A becomes Z).&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Write a program that determines the smallest number of key presses Ivica needs to reveal the entire phrase, and one possible ordering of letters guessed that achieves the smallest number.&nbsp;<\/p>\r\n\r\n<p>Note: the ordering of letters is not necessarily unique.&nbsp;<\/p>\r\n","input":"<p>The first and only line contains the secret phrase &ndash; at least 1 and at most 100 characters. All characters will be uppercase letters or spaces. The phrase starts and ends in a letter, and there is exactly one space between words.&nbsp;<\/p>\r\n","output":"<p>On the first line, output the smallest number of key presses needed to reveal the entire phrase.&nbsp;<\/p>\r\n\r\n<p>On the second line, output an ordering which achieves that smallest number.&nbsp;<\/p>\r\n","hint":"<p>In the example, Ivica can press keys in this order: RIGHT, OK, LEFT 7 times, OK, LEFT, OK, LEFT 2 times, OK, LEFT 3 times, OK.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]