시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 389 71 45 21.429%

문제

민혁이는 매주 금요일마다 지수와 함께 논다. 이번 주 금요일은 지수와 민혁이가 친구가 된지 십 년이 되는 날이다. 따라서, 둘은 엄청난 게임을 하기로 결정했다. 민혁이는 바닥이 흙인 운동장을 예약했고, 지수는 조약돌 한 개를 들고 왔다.

먼저 민혁이는 운동장 바닥에 나뭇가지로 방향 그래프를 그린다. 이 그래프에서 모든 정점은 많아야 한 개의 나가는 간선(outgoing edge)를 가질 수 있다. 그 다음 민혁이는 조약돌을 한 정점 위에 올려 놓는다. 만약, 조약돌이 있는 정점에 나가는 간선이 있다면, 조약돌은 그 간선을 통해서 이동할 수 없을 때까지 계속해서 이동한다. 더 이상 이동할 수 있는 정점이 없다면, 조약돌은 그 자리에서 멈춘다. 조약돌은 그래프를 무한히 이동할 수도 있고, 방문하지 않는 정점이 있을 수도 있다.

민혁이는 지수가 게임의 규칙을 확실하게 이해했는지 알기 위해서 다음과 같은 두 가지 질문을 하려고 한다.

1 X - 조약돌을 정점 X에 놓았을 때, 조약돌이 무한히 움직이지 않는다면 조약돌이 멈추는 정점의 번호는 몇 번인가?

2 X - 정점 X에서 나가는 간선을 지운다. (항상 나가는 간선이 있는 정점만 주어진다)

민혁이의 질문이 주어졌을 때, 지수의 답변을 출력하는 프로그램을 작성하시오.

입력

첫째 줄에 그래프의 정점의 개수 N이 주어진다. (1 ≤ N ≤ 300,000)

둘째 줄에는 각 정점의 나가는 간선이 공백으로 구분되어서 주어진다. 정점의 번호는 1부터 시작하며, 나가는 간선이 없는 경우에는 0이 주어진다.

셋째 줄에는 민혁이의 질문의 수 Q가 주어진다. (1 ≤ Q ≤ 300,000)

넷째 줄부터 Q개 줄에는 문제 설명에 나온 질문 형식대로 민혁이의 질문이 주어진다.

출력

1로 시작하는 쿼리가 주어질때 마다, 조약돌이 멈추는 정점의 번호를 한 줄에 하나씩 출력한다. 만약, 어떤 정점에 멈추지 않고 무한히 이동한다면, CLKLUS를 출력한다.

예제 입력 1

3
2 3 1
7
1 1
1 2
2 1
1 2
1 1
2 2
1 2

예제 출력 1

CIKLUS
CIKLUS
1
1
2
[{"problem_id":"2843","problem_lang":"0","title":"\ub9c8\ube14","description":"<p>\r\n\t\ubbfc\ud601\uc774\ub294 \ub9e4\uc8fc \uae08\uc694\uc77c\ub9c8\ub2e4 \uc9c0\uc218\uc640 \ud568\uaed8 \ub17c\ub2e4. \uc774\ubc88 \uc8fc \uae08\uc694\uc77c\uc740 \uc9c0\uc218\uc640 \ubbfc\ud601\uc774\uac00 \uce5c\uad6c\uac00 \ub41c\uc9c0 \uc2ed \ub144\uc774 \ub418\ub294 \ub0a0\uc774\ub2e4. \ub530\ub77c\uc11c, \ub458\uc740 \uc5c4\uccad\ub09c \uac8c\uc784\uc744 \ud558\uae30\ub85c \uacb0\uc815\ud588\ub2e4. \ubbfc\ud601\uc774\ub294 \ubc14\ub2e5\uc774 \ud759\uc778 \uc6b4\ub3d9\uc7a5\uc744 \uc608\uc57d\ud588\uace0, \uc9c0\uc218\ub294 \uc870\uc57d\ub3cc \ud55c \uac1c\ub97c \ub4e4\uace0 \uc654\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uba3c\uc800 \ubbfc\ud601\uc774\ub294 \uc6b4\ub3d9\uc7a5 \ubc14\ub2e5\uc5d0 \ub098\ubb47\uac00\uc9c0\ub85c \ubc29\ud5a5 \uadf8\ub798\ud504\ub97c \uadf8\ub9b0\ub2e4. \uc774 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810\uc740 \ub9ce\uc544\uc57c \ud55c \uac1c\uc758 \ub098\uac00\ub294 \uac04\uc120(outgoing edge)\ub97c \uac00\uc9c8 \uc218 \uc788\ub2e4. \uadf8 \ub2e4\uc74c \ubbfc\ud601\uc774\ub294 \uc870\uc57d\ub3cc\uc744 \ud55c \uc815\uc810 \uc704\uc5d0 \uc62c\ub824 \ub193\ub294\ub2e4. \ub9cc\uc57d, \uc870\uc57d\ub3cc\uc774 \uc788\ub294 \uc815\uc810\uc5d0 \ub098\uac00\ub294 \uac04\uc120\uc774 \uc788\ub2e4\uba74, \uc870\uc57d\ub3cc\uc740 \uadf8 \uac04\uc120\uc744 \ud1b5\ud574\uc11c \uc774\ub3d9\ud560 \uc218 \uc5c6\uc744 \ub54c\uae4c\uc9c0 \uacc4\uc18d\ud574\uc11c \uc774\ub3d9\ud55c\ub2e4. \ub354 \uc774\uc0c1 \uc774\ub3d9\ud560 \uc218 \uc788\ub294 \uc815\uc810\uc774 \uc5c6\ub2e4\uba74, \uc870\uc57d\ub3cc\uc740 \uadf8 \uc790\ub9ac\uc5d0\uc11c \uba48\ucd98\ub2e4. \uc870\uc57d\ub3cc\uc740 \uadf8\ub798\ud504\ub97c \ubb34\ud55c\ud788 \uc774\ub3d9\ud560 \uc218\ub3c4 \uc788\uace0, \ubc29\ubb38\ud558\uc9c0 \uc54a\ub294 \uc815\uc810\uc774 \uc788\uc744 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ubbfc\ud601\uc774\ub294 \uc9c0\uc218\uac00 \uac8c\uc784\uc758 \uaddc\uce59\uc744 \ud655\uc2e4\ud558\uac8c \uc774\ud574\ud588\ub294\uc9c0 \uc54c\uae30 \uc704\ud574\uc11c \ub2e4\uc74c\uacfc \uac19\uc740 \ub450 \uac00\uc9c0 \uc9c8\ubb38\uc744 \ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t1 X - \uc870\uc57d\ub3cc\uc744 \uc815\uc810 X\uc5d0 \ub193\uc558\uc744 \ub54c, \uc870\uc57d\ub3cc\uc774 \ubb34\ud55c\ud788 \uc6c0\uc9c1\uc774\uc9c0 \uc54a\ub294\ub2e4\uba74 \uc870\uc57d\ub3cc\uc774 \uba48\ucd94\ub294 \uc815\uc810\uc758 \ubc88\ud638\ub294 \uba87 \ubc88\uc778\uac00?<\/p>\r\n\r\n<p>\r\n\t2 X - \uc815\uc810 X\uc5d0\uc11c \ub098\uac00\ub294 \uac04\uc120\uc744 \uc9c0\uc6b4\ub2e4. (\ud56d\uc0c1 \ub098\uac00\ub294 \uac04\uc120\uc774 \uc788\ub294 \uc815\uc810\ub9cc \uc8fc\uc5b4\uc9c4\ub2e4)<\/p>\r\n\r\n<p>\r\n\t\ubbfc\ud601\uc774\uc758 \uc9c8\ubb38\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc9c0\uc218\uc758 \ub2f5\ubcc0\uc744 \ucd9c\ub825\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \uadf8\ub798\ud504\uc758 \uc815\uc810\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 300,000)<\/p>\r\n\r\n<p>\r\n\t\ub458\uc9f8 \uc904\uc5d0\ub294 \uac01 \uc815\uc810\uc758 \ub098\uac00\ub294 \uac04\uc120\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc11c \uc8fc\uc5b4\uc9c4\ub2e4. \uc815\uc810\uc758 \ubc88\ud638\ub294 1\ubd80\ud130 \uc2dc\uc791\ud558\uba70, \ub098\uac00\ub294 \uac04\uc120\uc774 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 0\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc14b\uc9f8 \uc904\uc5d0\ub294 \ubbfc\ud601\uc774\uc758 \uc9c8\ubb38\uc758 \uc218 Q\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; Q &le; 300,000)<\/p>\r\n\r\n<p>\r\n\t\ub137\uc9f8 \uc904\ubd80\ud130 Q\uac1c \uc904\uc5d0\ub294 \ubb38\uc81c \uc124\uba85\uc5d0 \ub098\uc628 \uc9c8\ubb38 \ud615\uc2dd\ub300\ub85c \ubbfc\ud601\uc774\uc758 \uc9c8\ubb38\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\r\n\t1\ub85c \uc2dc\uc791\ud558\ub294 \ucffc\ub9ac\uac00 \uc8fc\uc5b4\uc9c8\ub54c \ub9c8\ub2e4, \uc870\uc57d\ub3cc\uc774 \uba48\ucd94\ub294 \uc815\uc810\uc758 \ubc88\ud638\ub97c \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \uc5b4\ub5a4 \uc815\uc810\uc5d0 \uba48\ucd94\uc9c0 \uc54a\uace0 \ubb34\ud55c\ud788 \uc774\ub3d9\ud55c\ub2e4\uba74, CLKLUS\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2843","problem_lang":"1","title":"KUGLICE","description":"<p>Mirko and Slavko love playing with marbles. On an exciting Friday, Mirko has come up with a marble game which he wants to show to Slavko.<\/p>\r\n\r\n<p>In the game, Mirko constructs a directional graph in which all vertices have at most at most one outgoing edge. Then he places a marble on one of the vertices. Whenever a marble is on some vertex X, the marble moves to the adjacent vertex connected by a single edge, if such exists. The movement of the marble continues until a vertex with no outgoing edge is visited, where the marble stops. It is also possible that the marble traverses the graph indefinitely in case no such vertex is ever visited.<\/p>\r\n\r\n<p>To make sure that Slavko understand the rules of the game, Mirko will ask a series of queries. The types of queries are as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>1 X &ndash; unless the marble stucks in a loop, on which vertex will the marble stop if it is placed on the vertex X?<\/li>\r\n\t<li>2 X &ndash; delete the outgoing edge of the vertex X (it is guaranteed that such edge will always exist)&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Note: queries are executed in order and are cummulative (one affects another).<\/p>\r\n","input":"<p>The first line contains a postive integer N (1 &le; N &le; 300 000), the number of vertices in the graph.<\/p>\r\n\r\n<p>The second line contains exactly N positive integers separated by a single space, where the number at position i denotes the index of the destination of the outgoing edge from vertex with index i. The zero value represent that there is no outgoing edge from the vertex with index i.<\/p>\r\n\r\n<p>The following line contains a single positive integer Q (1 &le; Q &le; 300 000), the number of queries.<\/p>\r\n\r\n<p>The remaining Q lines contain queries in the format described above.<\/p>\r\n","output":"<p>For each query of type 1, output the index of the vertex where the marble stops, one per line, in the order of the execution of queries. If the marble never stops, output CIKLUS instead.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]