시간 제한메모리 제한제출정답맞힌 사람정답 비율
1.5 초 (추가 시간 없음) 1024 MB89131118.033%

문제

이 문제는 인터랙티브 문제이다.

KSA의 알고리즘 문제 해결 연구회 Automata의 두 연구회원 everyonehere2023 KSA Automata Winter Contest를 기념하여 이상한 판 뒤집기 게임을 한다. 이상한 판 뒤집기 게임의 규칙은 아래와 같다.

$N$개의 판이 바닥에 원형으로 배열되어 있다. 판의 번호는 시계 반대 방향으로 순서대로 $0, 1, \cdots, N-1$이다. 각각의 판에 대해 한 면은 빨간색, 다른 한 면은 파란색이다. 바닥에는 $N$개의 버튼 또한 놓여있는데, $i$번 버튼은 $i$번 판과 $(i+1) \bmod N$번 판 사이에 있다. $(0\le i<N)$

초기 상태에 각각의 판이 어떤 면이 보이도록 놓여있는지와 누구의 차례가 먼저인지 주어진다. 두 플레이어가 번갈아 가며 차례를 가지며, 자신의 차례가 되면 아래 두 가지 동작 중 하나를 선택해서 할 수 있다.

  • $k$번 버튼을 누른다. 이 경우 아무 판도 뒤집지 않는다. 이 경우 $c=0$이다.
  • $k$번 버튼을 누르고, $k$번 판과 $(k+1) \bmod N$번 판을 동시에 뒤집는다. 이 경우 $c=1$이다.

단, 한번 눌린 버튼은 비활성화되어 다시 누를 수 없다.

모든 버튼이 비활성화되는 순간 게임이 종료된다. 이때 빨간색 면이 보이는 판의 개수와 파란색 면이 보이는 판의 개수가 같으면 everyone이 이기고, 다르면 here가 이긴다.

everyonehere는 당신에게 도움을 요청했다. 그러나 동시에 둘 모두를 도와줄 수는 없으므로, 당신은 둘 중 한 사람을 골라 그 사람이 이기는 방법을 알려줘야 한다.

이 게임은 임의의 정수 $N\ge2$에 대하여 잘 정의되지만, 출제자는 여러분이 2023 KSA Automata Winter Contest에서 더 높은 점수를 받을 수 있도록 $N$이 $4$의 배수라는 제약 조건을 추가하였다.

인터랙션

당신의 프로그램은 아래의 과정을 통해 표준입력과 표준출력으로 인터랙터와 상호작용해야 한다. Phase 1이 끝나고 즉시 Phase 2로 넘어가며, Phase 2가 끝나면 프로그램을 바로 종료해야 한다.

  • Phase 1
    • 정수 $N$과 문자열 $M$이 한 줄에 주어진다. $M$은 먼저 하는 플레이어를 나타낸다.
    • 다음 줄에 게임판의 초기 상태를 나타내는 문자열 $S = S_0S_1 \cdots S_{N-1}$이 주어진다. $i$번 판이 빨간색 면이 보이는 상태라면 $S_i =$R, 파란색 면이 보이는 상태라면 $S_i =$B이다.
    • 이후 도와주기로 결정한 플레이어를 나타내는 문자열 $T$를 한 줄에 출력한다.
  • Phase 2
    • 만약 도와주기로 한 플레이어의 차례라면 해당 플레이어의 동작을 나타내는 두 정수 $c$와 $k$를 한 줄에 출력한다.
    • 만약 도와주지 않기로 한 플레이어의 차례라면 해당 플레이어의 동작을 나타내는 두 정수 $c$와 $k$가 한 줄에 주어진다.
    • 위 두 과정을 게임이 끝날 때까지 반복한다.

각 채점 데이터에 대하여, 게임에서 도와주기로 한 플레이어가 이겼다면 맞았습니다!!, 도와주지 않기로 한 플레이어가 이겼다면 틀렸습니다 결과를 받는다. 단, 게임이 끝나도 프로그램이 즉시 종료되지 않거나, 각 줄을 출력한 뒤 출력 버퍼를 비우지 않거나, 출력 형식을 어기거나, 게임 규칙을 어기는 수를 둘 경우에는 예상하지 못한 결과를 받을 수 있다.

제한

  • $4\le N\le 1000$; $N$은 $4$의 배수
  • $M\in\{$everyone$,$here$\}$
  • 모든 $0\le i<N$에 대하여 $S_i\in\{$R$,$B$\}$
  • $T\in\{$everyone$,$here$\}$
  • $c\in\{0,1\}$
  • $0\le k<N$
  • 각 시행의 $k$의 값은 모두 서로 다름

서브태스크

번호배점제한
11

$N=4$; $M=$everyone; $S=$RRRR

21

$N=4$; $M=$here; $S=$RRRR

32

$N=4$; $S=$RRRB

44

$N=4$

56

$N\le 8$

611

$N\le 12$

718

모든 $0\le i<N$에 대하여 $S_i=$R

824

$M =$everyone

924

$M =$here

109

추가 제약 조건 없음

예제 입력 1

8 here
BBRBRBBR


1 2

1 4

0 7

0 0

예제 출력 1



here
0 3

0 1

0 6

1 5

노트

당신의 프로그램은 무언가를 출력한 후 즉시 출력 버퍼를 비워야 한다. 다음은 언어별 출력 버퍼를 비우는 방법이다.

  • C — fflush(stdout)
  • C++ — std::cout.flush()
  • Python — sys.stdout.flush()
  • Java — System.out.flush()
  • 그 외의 언어는 각 언어의 Documentation을 참고한다.

또한, 예제의 빈 줄은 입출력이 어떤 방식으로 이루어지는지 이해를 돕기 위해 의도적으로 추가된 것이며, 실제 입출력에는 빈 줄이 나타나지 않는다.

예제와 같이 게임을 진행하면, 게임이 종료될 때 빨간 면이 보이는 판이 $3$개, 파란 면이 보이는 판이 $5$개이므로 here가 이긴다.

[{"problem_id":"27473","problem_lang":"0","title":"\uc774\uc0c1\ud55c \ud310 \ub4a4\uc9d1\uae30 \uac8c\uc784","description":"<p>\uc774 \ubb38\uc81c\ub294 <strong>\uc778\ud130\ub799\ud2f0\ube0c \ubb38\uc81c<\/strong>\uc774\ub2e4.<\/p>\r\n\r\n<center><img src=\"https:\/\/upload.acmicpc.net\/ef590e4b-ddcd-46fc-b477-b33da2eaa4b8\/-\/preview\/\" style=\"height: 350px; width: 350px;\" \/><\/center>\r\n\r\n<p>KSA\uc758 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c \ud574\uacb0 \uc5f0\uad6c\ud68c <strong>Automata<\/strong>\uc758 \ub450 \uc5f0\uad6c\ud68c\uc6d0 <code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>\uacfc <code><span style=\"color:#e74c3c;\">here<\/span><\/code>\ub294 <strong>2023 KSA Automata Winter Contest<\/strong>\ub97c \uae30\ub150\ud558\uc5ec <strong>\uc774\uc0c1\ud55c \ud310 \ub4a4\uc9d1\uae30 \uac8c\uc784<\/strong>\uc744 \ud55c\ub2e4. <strong>\uc774\uc0c1\ud55c \ud310 \ub4a4\uc9d1\uae30 \uac8c\uc784<\/strong>\uc758 \uaddc\uce59\uc740 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<p>$N$\uac1c\uc758 \ud310\uc774 \ubc14\ub2e5\uc5d0 \uc6d0\ud615\uc73c\ub85c \ubc30\uc5f4\ub418\uc5b4 \uc788\ub2e4. \ud310\uc758 \ubc88\ud638\ub294 \uc2dc\uacc4 \ubc18\ub300 \ubc29\ud5a5\uc73c\ub85c \uc21c\uc11c\ub300\ub85c $0, 1, \\cdots, N-1$\uc774\ub2e4. \uac01\uac01\uc758 \ud310\uc5d0 \ub300\ud574 \ud55c \uba74\uc740 \ube68\uac04\uc0c9, \ub2e4\ub978 \ud55c \uba74\uc740 \ud30c\ub780\uc0c9\uc774\ub2e4. \ubc14\ub2e5\uc5d0\ub294 $N$\uac1c\uc758 \ubc84\ud2bc \ub610\ud55c \ub193\uc5ec\uc788\ub294\ub370, $i$\ubc88 \ubc84\ud2bc\uc740 $i$\ubc88 \ud310\uacfc $(i+1) \\bmod N$\ubc88 \ud310 \uc0ac\uc774\uc5d0 \uc788\ub2e4. $(0\\le i&lt;N)$<\/p>\r\n\r\n<p>\ucd08\uae30 \uc0c1\ud0dc\uc5d0 \uac01\uac01\uc758 \ud310\uc774 \uc5b4\ub5a4 \uba74\uc774 \ubcf4\uc774\ub3c4\ub85d \ub193\uc5ec\uc788\ub294\uc9c0\uc640 \ub204\uad6c\uc758 \ucc28\ub840\uac00 \uba3c\uc800\uc778\uc9c0 \uc8fc\uc5b4\uc9c4\ub2e4. \ub450 \ud50c\ub808\uc774\uc5b4\uac00 \ubc88\uac08\uc544 \uac00\uba70 \ucc28\ub840\ub97c \uac00\uc9c0\uba70, \uc790\uc2e0\uc758 \ucc28\ub840\uac00 \ub418\uba74 \uc544\ub798 \ub450 \uac00\uc9c0 \ub3d9\uc791 \uc911 \ud558\ub098\ub97c \uc120\ud0dd\ud574\uc11c \ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>$k$\ubc88 \ubc84\ud2bc\uc744 \ub204\ub978\ub2e4. \uc774 \uacbd\uc6b0 \uc544\ubb34 \ud310\ub3c4 \ub4a4\uc9d1\uc9c0 \uc54a\ub294\ub2e4. \uc774 \uacbd\uc6b0 $c=0$\uc774\ub2e4.<\/li>\r\n\t<li>$k$\ubc88 \ubc84\ud2bc\uc744 \ub204\ub974\uace0, $k$\ubc88 \ud310\uacfc $(k+1) \\bmod N$\ubc88 \ud310\uc744 \ub3d9\uc2dc\uc5d0 \ub4a4\uc9d1\ub294\ub2e4. \uc774 \uacbd\uc6b0 $c=1$\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub2e8, \ud55c\ubc88 \ub20c\ub9b0 \ubc84\ud2bc\uc740 \ube44\ud65c\uc131\ud654\ub418\uc5b4 \ub2e4\uc2dc \ub204\ub97c \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ubc84\ud2bc\uc774 \ube44\ud65c\uc131\ud654\ub418\ub294 \uc21c\uac04 \uac8c\uc784\uc774 \uc885\ub8cc\ub41c\ub2e4. \uc774\ub54c \ube68\uac04\uc0c9 \uba74\uc774 \ubcf4\uc774\ub294 \ud310\uc758 \uac1c\uc218\uc640 \ud30c\ub780\uc0c9 \uba74\uc774 \ubcf4\uc774\ub294 \ud310\uc758 \uac1c\uc218\uac00 \uac19\uc73c\uba74 <code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>\uc774 \uc774\uae30\uace0, \ub2e4\ub974\uba74 <code><span style=\"color:#e74c3c;\">here<\/span><\/code>\uac00 \uc774\uae34\ub2e4.<\/p>\r\n\r\n<p><code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>\uacfc <code><span style=\"color:#e74c3c;\">here<\/span><\/code>\ub294 \ub2f9\uc2e0\uc5d0\uac8c \ub3c4\uc6c0\uc744 \uc694\uccad\ud588\ub2e4. \uadf8\ub7ec\ub098 \ub3d9\uc2dc\uc5d0 \ub458 \ubaa8\ub450\ub97c \ub3c4\uc640\uc904 \uc218\ub294 \uc5c6\uc73c\ubbc0\ub85c, \ub2f9\uc2e0\uc740 \ub458 \uc911 \ud55c \uc0ac\ub78c\uc744 \uace8\ub77c \uadf8 \uc0ac\ub78c\uc774 \uc774\uae30\ub294 \ubc29\ubc95\uc744 \uc54c\ub824\uc918\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774 \uac8c\uc784\uc740 \uc784\uc758\uc758 \uc815\uc218 $N\\ge2$\uc5d0 \ub300\ud558\uc5ec \uc798 \uc815\uc758\ub418\uc9c0\ub9cc, \ucd9c\uc81c\uc790\ub294 \uc5ec\ub7ec\ubd84\uc774 <strong>2023 KSA Automata Winter Contest<\/strong>\uc5d0\uc11c \ub354 \ub192\uc740 \uc810\uc218\ub97c \ubc1b\uc744 \uc218 \uc788\ub3c4\ub85d $N$\uc774 $4$\uc758 \ubc30\uc218\ub77c\ub294 \uc81c\uc57d \uc870\uac74\uc744 \ucd94\uac00\ud558\uc600\ub2e4.<\/p>\r\n","input":"","output":"","hint":"<p>\ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \ubb34\uc5b8\uac00\ub97c \ucd9c\ub825\ud55c \ud6c4 \uc989\uc2dc \ucd9c\ub825 \ubc84\ud37c\ub97c \ube44\uc6cc\uc57c \ud55c\ub2e4. \ub2e4\uc74c\uc740 \uc5b8\uc5b4\ubcc4 \ucd9c\ub825 \ubc84\ud37c\ub97c \ube44\uc6b0\ub294 \ubc29\ubc95\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>C &mdash; <code><span style=\"color:#e74c3c;\">fflush(stdout)<\/span><\/code><\/li>\r\n\t<li>C++ &mdash; <code><span style=\"color:#e74c3c;\">std::cout.flush()<\/span><\/code><\/li>\r\n\t<li>Python &mdash; <code><span style=\"color:#e74c3c;\">sys.stdout.flush()<\/span><\/code><\/li>\r\n\t<li>Java &mdash; <code><span style=\"color:#e74c3c;\">System.out.flush()<\/span><\/code><\/li>\r\n\t<li>\uadf8 \uc678\uc758 \uc5b8\uc5b4\ub294 \uac01 \uc5b8\uc5b4\uc758 Documentation\uc744 \ucc38\uace0\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub610\ud55c, \uc608\uc81c\uc758 \ube48 \uc904\uc740 \uc785\ucd9c\ub825\uc774 \uc5b4\ub5a4 \ubc29\uc2dd\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c0\ub294\uc9c0 \uc774\ud574\ub97c \ub3d5\uae30 \uc704\ud574 \uc758\ub3c4\uc801\uc73c\ub85c \ucd94\uac00\ub41c \uac83\uc774\uba70, \uc2e4\uc81c \uc785\ucd9c\ub825\uc5d0\ub294 \ube48 \uc904\uc774 \ub098\ud0c0\ub098\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c\uc640 \uac19\uc774 \uac8c\uc784\uc744 \uc9c4\ud589\ud558\uba74, \uac8c\uc784\uc774 \uc885\ub8cc\ub420 \ub54c \ube68\uac04 \uba74\uc774 \ubcf4\uc774\ub294 \ud310\uc774 $3$\uac1c, \ud30c\ub780 \uba74\uc774 \ubcf4\uc774\ub294 \ud310\uc774 $5$\uac1c\uc774\ubbc0\ub85c <code><span style=\"color:#e74c3c;\">here<\/span><\/code>\uac00 \uc774\uae34\ub2e4.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$4\\le N\\le 1000$; $N$\uc740 $4$\uc758 \ubc30\uc218<\/li>\r\n\t<li>$M\\in\\{$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>$,$<code><span style=\"color:#e74c3c;\">here<\/span><\/code>$\\}$<\/li>\r\n\t<li>\ubaa8\ub4e0 $0\\le i&lt;N$\uc5d0 \ub300\ud558\uc5ec $S_i\\in\\{$<code><span style=\"color:#e74c3c;\">R<\/span><\/code>$,$<code><span style=\"color:#e74c3c;\">B<\/span><\/code>$\\}$<\/li>\r\n\t<li>$T\\in\\{$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>$,$<code><span style=\"color:#e74c3c;\">here<\/span><\/code>$\\}$<\/li>\r\n\t<li>$c\\in\\{0,1\\}$<\/li>\r\n\t<li>$0\\le k&lt;N$<\/li>\r\n\t<li>\uac01 \uc2dc\ud589\uc758 $k$\uc758 \uac12\uc740 \ubaa8\ub450 \uc11c\ub85c \ub2e4\ub984<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$N=4$; $M=$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>; $S=$<code><span style=\"color:#e74c3c;\">RRRR<\/span><\/code><\/p>\r\n","subtask2":"<p>$N=4$; $M=$<code><span style=\"color:#e74c3c;\">here<\/span><\/code>; $S=$<code><span style=\"color:#e74c3c;\">RRRR<\/span><\/code><\/p>\r\n","subtask3":"<p>$N=4$; $S=$<code><span style=\"color:#e74c3c;\">RRRB<\/span><\/code><\/p>\r\n","subtask4":"<p>$N=4$<\/p>\r\n","subtask5":"<p>$N\\le 8$<\/p>\r\n","subtask6":"<p>$N\\le 12$<\/p>\r\n","subtask7":"<p>\ubaa8\ub4e0 $0\\le i&lt;N$\uc5d0 \ub300\ud558\uc5ec $S_i=$<code><span style=\"color:#e74c3c;\">R<\/span><\/code><\/p>\r\n","subtask8":"<p>$M =$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code><\/p>\r\n","subtask9":"<p>$M =$<code><span style=\"color:#e74c3c;\">here<\/span><\/code><\/p>\r\n","subtask10":"<p>\ucd94\uac00 \uc81c\uc57d \uc870\uac74 \uc5c6\uc74c<\/p>\r\n","custom_interaction":"<p>\ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \uc544\ub798\uc758 \uacfc\uc815\uc744 \ud1b5\ud574 \ud45c\uc900\uc785\ub825\uacfc \ud45c\uc900\ucd9c\ub825\uc73c\ub85c \uc778\ud130\ub799\ud130\uc640 \uc0c1\ud638\uc791\uc6a9\ud574\uc57c \ud55c\ub2e4. Phase 1\uc774 \ub05d\ub098\uace0 \uc989\uc2dc Phase 2\ub85c \ub118\uc5b4\uac00\uba70, Phase 2\uac00 \ub05d\ub098\uba74 \ud504\ub85c\uadf8\ub7a8\uc744 \ubc14\ub85c \uc885\ub8cc\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>Phase 1\r\n\t<ul>\r\n\t\t<li>\uc815\uc218 $N$\uacfc \ubb38\uc790\uc5f4 $M$\uc774 \ud55c \uc904\uc5d0 \uc8fc\uc5b4\uc9c4\ub2e4. $M$\uc740 \uba3c\uc800 \ud558\ub294 \ud50c\ub808\uc774\uc5b4\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/li>\r\n\t\t<li>\ub2e4\uc74c \uc904\uc5d0 \uac8c\uc784\ud310\uc758 \ucd08\uae30 \uc0c1\ud0dc\ub97c \ub098\ud0c0\ub0b4\ub294 \ubb38\uc790\uc5f4 $S = S_0S_1 \\cdots S_{N-1}$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. $i$\ubc88 \ud310\uc774 \ube68\uac04\uc0c9 \uba74\uc774 \ubcf4\uc774\ub294 \uc0c1\ud0dc\ub77c\uba74 $S_i =$<code><span style=\"color:#e74c3c;\">R<\/span><\/code>, \ud30c\ub780\uc0c9 \uba74\uc774 \ubcf4\uc774\ub294 \uc0c1\ud0dc\ub77c\uba74 $S_i =$<code><span style=\"color:#e74c3c;\">B<\/span><\/code>\uc774\ub2e4.<\/li>\r\n\t\t<li>\uc774\ud6c4 \ub3c4\uc640\uc8fc\uae30\ub85c \uacb0\uc815\ud55c \ud50c\ub808\uc774\uc5b4\ub97c \ub098\ud0c0\ub0b4\ub294 \ubb38\uc790\uc5f4 $T$\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>Phase 2\r\n\t<ul>\r\n\t\t<li>\ub9cc\uc57d \ub3c4\uc640\uc8fc\uae30\ub85c \ud55c \ud50c\ub808\uc774\uc5b4\uc758 \ucc28\ub840\ub77c\uba74 \ud574\ub2f9 \ud50c\ub808\uc774\uc5b4\uc758 \ub3d9\uc791\uc744 \ub098\ud0c0\ub0b4\ub294 \ub450 \uc815\uc218 $c$\uc640 $k$\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4.<\/li>\r\n\t\t<li>\ub9cc\uc57d \ub3c4\uc640\uc8fc\uc9c0 \uc54a\uae30\ub85c \ud55c \ud50c\ub808\uc774\uc5b4\uc758 \ucc28\ub840\ub77c\uba74 \ud574\ub2f9 \ud50c\ub808\uc774\uc5b4\uc758 \ub3d9\uc791\uc744 \ub098\ud0c0\ub0b4\ub294 \ub450 \uc815\uc218 $c$\uc640 $k$\uac00 \ud55c \uc904\uc5d0 \uc8fc\uc5b4\uc9c4\ub2e4.<\/li>\r\n\t\t<li>\uc704 \ub450 \uacfc\uc815\uc744 \uac8c\uc784\uc774 \ub05d\ub0a0 \ub54c\uae4c\uc9c0 \ubc18\ubcf5\ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>\uac01 \ucc44\uc810 \ub370\uc774\ud130\uc5d0 \ub300\ud558\uc5ec, \uac8c\uc784\uc5d0\uc11c \ub3c4\uc640\uc8fc\uae30\ub85c \ud55c \ud50c\ub808\uc774\uc5b4\uac00 \uc774\uacbc\ub2e4\uba74 <strong><span style=\"color:#009874;\">\ub9de\uc558\uc2b5\ub2c8\ub2e4!!<\/span><\/strong>, \ub3c4\uc640\uc8fc\uc9c0 \uc54a\uae30\ub85c \ud55c \ud50c\ub808\uc774\uc5b4\uac00 \uc774\uacbc\ub2e4\uba74 <span style=\"color:#dd4124;\">\ud2c0\ub838\uc2b5\ub2c8\ub2e4<\/span> \uacb0\uacfc\ub97c \ubc1b\ub294\ub2e4. \ub2e8, \uac8c\uc784\uc774 \ub05d\ub098\ub3c4 \ud504\ub85c\uadf8\ub7a8\uc774 \uc989\uc2dc \uc885\ub8cc\ub418\uc9c0 \uc54a\uac70\ub098, \uac01 \uc904\uc744 \ucd9c\ub825\ud55c \ub4a4 \ucd9c\ub825 \ubc84\ud37c\ub97c \ube44\uc6b0\uc9c0 \uc54a\uac70\ub098, \ucd9c\ub825 \ud615\uc2dd\uc744 \uc5b4\uae30\uac70\ub098, \uac8c\uc784 \uaddc\uce59\uc744 \uc5b4\uae30\ub294 \uc218\ub97c \ub458 \uacbd\uc6b0\uc5d0\ub294 \uc608\uc0c1\ud558\uc9c0 \ubabb\ud55c \uacb0\uacfc\ub97c \ubc1b\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n"},{"problem_id":"27473","problem_lang":"1","title":"Strange Card-flipping Game","description":"<p>This is an <strong>interactive problem<\/strong>.<\/p>\r\n\r\n<center><img src=\"https:\/\/upload.acmicpc.net\/ef590e4b-ddcd-46fc-b477-b33da2eaa4b8\/-\/preview\/\" style=\"height: 350px; width: 350px;\" \/><\/center>\r\n\r\n<p><span style=\"color:#e74c3c;\"><code>everyone<\/code><\/span> and <span style=\"color:#e74c3c;\"><code>here<\/code><\/span>, two members at KSA&#39;s algorithmic problem solving research group <strong>Automata<\/strong>, play the <strong>Strange Card-flipping Game<\/strong> in celebration of the <strong>2023 KSA Automata Winter Contest<\/strong>. The rules of the <strong>Strange Card-flipping Game<\/strong> are as follows.<\/p>\r\n\r\n<p>There are $N$ cards arranged in a circular placement on the floor, numbered $0,1,\\cdots,N-1$ counterclockwise. For each card, there are two sides, one red, and the other blue. There are also $N$ buttons on the floor. The button numbered $i$ is placed between two cards numbered $i$ and $(i+1) \\bmod N$. $(0 \\le i &lt; N)$<\/p>\r\n\r\n<p>Initially, you are given the color of each card, and who goes first to move. The two players take turns for their moves. Each turn, the&nbsp;player&nbsp;does one of the following.<\/p>\r\n\r\n<ul>\r\n\t<li>Press the button numbered as $k$. In this turn, do not flip any cards. In this case, $c=0$.<\/li>\r\n\t<li>Press the button numbered as $k$, and flip the two cards numbered $k$ and $(k+1) \\bmod N$. In this case, $c = 1$.<\/li>\r\n<\/ul>\r\n\r\n<p>Every button is disabled after being pressed once, so it cannot be pressed again.<\/p>\r\n\r\n<p>The game ends after every button is disabled. At this time, <code><span style=\"color:#e74c3c;\">everyone<\/span><\/code> wins if the number of cards with the red sides up equals the number of cards with the blue sides up. Otherwise, <code><span style=\"color:#e74c3c;\">here<\/span><\/code> wins.<\/p>\r\n\r\n<p><code><span style=\"color:#e74c3c;\">everyone<\/span><\/code> and <code><span style=\"color:#e74c3c;\">here<\/span><\/code> asked you for help. However, you can&#39;t help both players at the same time, so you should choose the player to help and tell them how to win.<\/p>\r\n\r\n<p>Although the game is well-defined for every integer $N\\ge2$, the author of the problem added a constraint that $N$ is a multiple of $4$ so that you can get a higher score in the <strong>2023 KSA Automata Winter Contest.<\/strong><\/p>\r\n","input":"","output":"","hint":"<p>You must flush the output immediately after printing something. To flush you can use:<\/p>\r\n\r\n<ul>\r\n\t<li>C &mdash; <code><span style=\"color:#e74c3c;\">fflush(stdout)<\/span><\/code><\/li>\r\n\t<li>C++ &mdash; <code><span style=\"color:#e74c3c;\">std::cout.flush()<\/span><\/code><\/li>\r\n\t<li>Python &mdash; <code><span style=\"color:#e74c3c;\">sys.stdout.flush()<\/span><\/code><\/li>\r\n\t<li>Java &mdash; <code><span style=\"color:#e74c3c;\">System.out.flush()<\/span><\/code><\/li>\r\n\t<li>read the documentation for other languages.<\/li>\r\n<\/ul>\r\n\r\n<p>Also, note that the empty lines in the example input and output are for the sake of clarity, and do not occur in the real interaction.<\/p>\r\n\r\n<p>If the game is played as in the example, at the end of the game, there are $3$ red-side and $5$ blue-side cards. Therefore, <code><span style=\"color:#e74c3c;\">here<\/span><\/code> wins.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$4\\le N\\le 1000$; $N$ is a multiple of $4$<\/li>\r\n\t<li>$M\\in\\{$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>$,$<code><span style=\"color:#e74c3c;\">here<\/span><\/code>$\\}$<\/li>\r\n\t<li>$S_i\\in\\{$<code><span style=\"color:#e74c3c;\">R<\/span><\/code>$,$<code><span style=\"color:#e74c3c;\">B<\/span><\/code>$\\}$ for all $0\\le i&lt;N$<\/li>\r\n\t<li>$T\\in\\{$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>$,$<code><span style=\"color:#e74c3c;\">here<\/span><\/code>$\\}$<\/li>\r\n\t<li>$c\\in\\{0,1\\}$<\/li>\r\n\t<li>$0\\le k&lt;N$<\/li>\r\n\t<li>Every value of $k$ is distinct for each move<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$N=4$; $M=$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code>; $S=$<code><span style=\"color:#e74c3c;\">RRRR<\/span><\/code><\/p>\r\n","subtask2":"<p>$N=4$; $M=$<code><span style=\"color:#e74c3c;\">here<\/span><\/code>; $S=$<code><span style=\"color:#e74c3c;\">RRRR<\/span><\/code><\/p>\r\n","subtask3":"<p>$N=4$; $S=$<code><span style=\"color:#e74c3c;\">RRRB<\/span><\/code><\/p>\r\n","subtask4":"<p>$N=4$<\/p>\r\n","subtask5":"<p>$N\\le 8$<\/p>\r\n","subtask6":"<p>$N\\le 12$<\/p>\r\n","subtask7":"<p>$S_i=$<code><span style=\"color:#e74c3c;\">R<\/span><\/code> for all $0\\le i &lt; N$<\/p>\r\n","subtask8":"<p>$M=$<code><span style=\"color:#e74c3c;\">everyone<\/span><\/code><\/p>\r\n","subtask9":"<p>$M=$<code><span style=\"color:#e74c3c;\">here<\/span><\/code><\/p>\r\n","subtask10":"<p>No additional constraints<\/p>\r\n","custom_interaction":"<p>Your program must interact with the interactor using standard input\/output. After Phase 1, move on to Phase 2 immediately. After Phase 2, terminate the program immediately.<\/p>\r\n\r\n<ul>\r\n\t<li>Phase 1\r\n\t<ul>\r\n\t\t<li>An integer $N$ and a string $M$ are given on the first line. $M$ represents the player who acts first.<\/li>\r\n\t\t<li>On the next line, a string $S = S_0S_1 \\cdots S_{N-1}$ representing the initial color of each card is given. $S_i =$<code><span style=\"color:#e74c3c;\">R<\/span><\/code> if card numbered $i$ is initially red, $S_i =$<code><span style=\"color:#e74c3c;\">B<\/span><\/code> if card numbered $i$ is initially blue.<\/li>\r\n\t\t<li>Then, print a string $T$ representing which player you will help.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>Phase 2\r\n\t<ul>\r\n\t\t<li>On the turn of the player you are helping, print two integers $c$ and $k$ on one line.<\/li>\r\n\t\t<li>On the turn of the player you are not helping, two integers $c$ and $k$ are given on one line.<\/li>\r\n\t\t<li>Repeat two steps above until the game ends.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>For each test, if the player you are helping wins, you will receive the verdict <strong><span style=\"color:#009874;\">Accepted<\/span><\/strong>, if the player you are not helping wins, you will receive the verdict <span style=\"color:#dd4124;\">Wrong Answer<\/span>. If your program doesn&#39;t terminate after the game is finished, or doesn&#39;t flush after printing something, or violates the rules, you might receive the unexpected verdict.<\/p>\r\n"}]

출처

High School > 한국과학영재학교 > 2023 KSA Automata Winter Contest I번

채점 및 기타 정보

  • 예제는 채점하지 않는다.
  • 이 문제의 채점 우선 순위는 2이다.