시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 114 42 37 44.048%

문제

옛날 옛적, 일곱 언덕과 일곱 바다를 건너 작은 마을이 있었어요. 백설공주는 놀고 먹고 자다가 일어나서 문명 5, 리그 오브 레전드, 풋볼 매니저를 하다가 다시 자는 난쟁이들 N명과 살고 있었어요. 계속되는 이런 생활에 진저리가 난 백설공주는 난쟁이들에게 고통을 주기로 결심했고, 체육 수업을 빙자한 얼차려를 주기로 했답니다!

수업이 시작할 때, 난쟁이들은 키가 큰 순서로 한 줄로 서 있어야 돼요. 신기하게도 난쟁이들 중 키가 같은 사람은 한 명도 없었고, 정확하게 1, 2, ... , Ncm의 키를 가지고 있었어요. 하지만, 난쟁이들의 머리는 계속되는 트롤링으로 인해 피폐해져 있었고, 자기들끼리 키를 비교해 한 줄로 설만큼의 지능조차 없었답니다. 그래서 백설공주는 다음 명령을 통해 난쟁이들을 조종하기로 했어요.

  • 1 X Y -- X번째 위치와 Y번째 위치에 있는 난쟁이 둘이 위치를 바꾸도록 합니다.또 백설공주는 다음 명령으로 난쟁이들이 줄 서있는 순서를 살펴봅니다.

또 백설공주는 다음 명령으로 난쟁이들이 제대로 서 있는지를 확인해요.

  • 2 A B -- A, A+1, ..., Bcm의 키를 가진 난쟁이들이 모두 이웃해 서 있는지 확인합니다(꼭 A, A+1, ..., B 순서일 필요는 없습니다).

멍청한 난쟁이들이 백설공주가 시키는대로 잘 따르게 도와줘 더 이상 백설공주가 화나지 않게 해주세요!

입력

입력의 첫 번째 줄에 난쟁이들의 인원수 N과 백설공주가 명령하는 횟수 M이 주어집니다.(2 ≤ N ≤ 200 000, 2 ≤ M ≤ 200 000).

다음 줄에는 난쟁이들이 처음에 서 있는 순서를 나타내는 N개의 자연수가 주어집니다(자연수의 범위는 1부터 N까지이며, 한 숫자는 한번만 주어집니다).

다음 M개의 줄에는 백설공주의 명령이 주어지는데, 

"1 X Y" (1 ≤ X, Y ≤N, X ≠ Y) 또는

“2 A B” (1 ≤ A ≤ B ≤ N) 꼴로 주어지고 그 의미는 위에서 설명한 바와 같습니다.

출력

출력엔 2번째 형태의 백설공주의 명령에 대한 대답을 "YES"나 "NO"로 한 줄에 한번씩 출력합니다.

예제 입력 1

5 3
2 4 1 3 5
2 2 5
1 3 1
2 2 5

예제 출력 1

NO
YES
[{"problem_id":"5817","problem_lang":"0","title":"\uace0\ud1b5\ubc1b\ub294 \ub09c\uc7c1\uc774\ub4e4","description":"<p>\uc61b\ub0a0 \uc61b\uc801, \uc77c\uacf1 \uc5b8\ub355\uacfc \uc77c\uacf1 \ubc14\ub2e4\ub97c \uac74\ub108 \uc791\uc740 \ub9c8\uc744\uc774 \uc788\uc5c8\uc5b4\uc694. \ubc31\uc124\uacf5\uc8fc\ub294 \ub180\uace0 \uba39\uace0 \uc790\ub2e4\uac00 \uc77c\uc5b4\ub098\uc11c \ubb38\uba85 5, \ub9ac\uadf8 \uc624\ube0c \ub808\uc804\ub4dc, \ud48b\ubcfc \ub9e4\ub2c8\uc800\ub97c \ud558\ub2e4\uac00 \ub2e4\uc2dc \uc790\ub294 \ub09c\uc7c1\uc774\ub4e4 N\uba85\uacfc \uc0b4\uace0 \uc788\uc5c8\uc5b4\uc694. \uacc4\uc18d\ub418\ub294 \uc774\ub7f0 \uc0dd\ud65c\uc5d0 \uc9c4\uc800\ub9ac\uac00 \ub09c \ubc31\uc124\uacf5\uc8fc\ub294 \ub09c\uc7c1\uc774\ub4e4\uc5d0\uac8c \uace0\ud1b5\uc744 \uc8fc\uae30\ub85c \uacb0\uc2ec\ud588\uace0, \uccb4\uc721 \uc218\uc5c5\uc744 \ube59\uc790\ud55c \uc5bc\ucc28\ub824\ub97c \uc8fc\uae30\ub85c \ud588\ub2f5\ub2c8\ub2e4!<\/p>\r\n\r\n<p>\uc218\uc5c5\uc774 \uc2dc\uc791\ud560 \ub54c, \ub09c\uc7c1\uc774\ub4e4\uc740 \ud0a4\uac00 \ud070 \uc21c\uc11c\ub85c \ud55c \uc904\ub85c \uc11c \uc788\uc5b4\uc57c \ub3fc\uc694. \uc2e0\uae30\ud558\uac8c\ub3c4 \ub09c\uc7c1\uc774\ub4e4 \uc911 \ud0a4\uac00 \uac19\uc740 \uc0ac\ub78c\uc740 \ud55c \uba85\ub3c4 \uc5c6\uc5c8\uace0, \uc815\ud655\ud558\uac8c 1, 2, ... , Ncm\uc758 \ud0a4\ub97c \uac00\uc9c0\uace0 \uc788\uc5c8\uc5b4\uc694. \ud558\uc9c0\ub9cc, \ub09c\uc7c1\uc774\ub4e4\uc758 \uba38\ub9ac\ub294 \uacc4\uc18d\ub418\ub294 \ud2b8\ub864\ub9c1\uc73c\ub85c \uc778\ud574 \ud53c\ud3d0\ud574\uc838 \uc788\uc5c8\uace0, \uc790\uae30\ub4e4\ub07c\ub9ac \ud0a4\ub97c \ube44\uad50\ud574 \ud55c \uc904\ub85c \uc124\ub9cc\ud07c\uc758 \uc9c0\ub2a5\uc870\ucc28 \uc5c6\uc5c8\ub2f5\ub2c8\ub2e4. \uadf8\ub798\uc11c \ubc31\uc124\uacf5\uc8fc\ub294 \ub2e4\uc74c \uba85\ub839\uc744 \ud1b5\ud574 \ub09c\uc7c1\uc774\ub4e4\uc744 \uc870\uc885\ud558\uae30\ub85c \ud588\uc5b4\uc694.<\/p>\r\n\r\n<ul>\r\n\t<li>1 X Y -- X\ubc88\uc9f8 \uc704\uce58\uc640 Y\ubc88\uc9f8 \uc704\uce58\uc5d0 \uc788\ub294 \ub09c\uc7c1\uc774 \ub458\uc774 \uc704\uce58\ub97c \ubc14\uafb8\ub3c4\ub85d \ud569\ub2c8\ub2e4.\ub610 \ubc31\uc124\uacf5\uc8fc\ub294 \ub2e4\uc74c \uba85\ub839\uc73c\ub85c \ub09c\uc7c1\uc774\ub4e4\uc774 \uc904 \uc11c\uc788\ub294 \uc21c\uc11c\ub97c \uc0b4\ud3b4\ubd05\ub2c8\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub610 \ubc31\uc124\uacf5\uc8fc\ub294 \ub2e4\uc74c \uba85\ub839\uc73c\ub85c \ub09c\uc7c1\uc774\ub4e4\uc774 \uc81c\ub300\ub85c \uc11c \uc788\ub294\uc9c0\ub97c \ud655\uc778\ud574\uc694.<\/p>\r\n\r\n<ul>\r\n\t<li>2 A B -- A, A+1, ..., Bcm\uc758 \ud0a4\ub97c \uac00\uc9c4 \ub09c\uc7c1\uc774\ub4e4\uc774 \ubaa8\ub450 \uc774\uc6c3\ud574 \uc11c \uc788\ub294\uc9c0 \ud655\uc778\ud569\ub2c8\ub2e4(\uaf2d A, A+1, ..., B \uc21c\uc11c\uc77c \ud544\uc694\ub294 \uc5c6\uc2b5\ub2c8\ub2e4).<\/li>\r\n<\/ul>\r\n\r\n<p>\uba4d\uccad\ud55c \ub09c\uc7c1\uc774\ub4e4\uc774 \ubc31\uc124\uacf5\uc8fc\uac00 \uc2dc\ud0a4\ub294\ub300\ub85c \uc798 \ub530\ub974\uac8c \ub3c4\uc640\uc918&nbsp;\ub354 \uc774\uc0c1 \ubc31\uc124\uacf5\uc8fc\uac00 \ud654\ub098\uc9c0 \uc54a\uac8c \ud574\uc8fc\uc138\uc694!<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0 \ub09c\uc7c1\uc774\ub4e4\uc758 \uc778\uc6d0\uc218&nbsp;N\uacfc \ubc31\uc124\uacf5\uc8fc\uac00 \uba85\ub839\ud558\ub294 \ud69f\uc218&nbsp;M\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4.(2 &le; N &le; 200 000, 2 &le; M &le; 200 000).<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0\ub294 \ub09c\uc7c1\uc774\ub4e4\uc774 \ucc98\uc74c\uc5d0 \uc11c \uc788\ub294 \uc21c\uc11c\ub97c \ub098\ud0c0\ub0b4\ub294&nbsp;N\uac1c\uc758 \uc790\uc5f0\uc218\uac00 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4(\uc790\uc5f0\uc218\uc758 \ubc94\uc704\ub294 1\ubd80\ud130 N\uae4c\uc9c0\uc774\uba70, \ud55c \uc22b\uc790\ub294 \ud55c\ubc88\ub9cc \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4).<\/p>\r\n\r\n<p>\ub2e4\uc74c M\uac1c\uc758 \uc904\uc5d0\ub294 \ubc31\uc124\uacf5\uc8fc\uc758 \uba85\ub839\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370,&nbsp;<\/p>\r\n\r\n<p>&quot;1 X Y&quot; (1 &le; X, Y &le;N, X &ne; Y) \ub610\ub294<\/p>\r\n\r\n<p>&ldquo;2 A B&rdquo; (1 &le; A &le; B &le; N) \uaf34\ub85c \uc8fc\uc5b4\uc9c0\uace0 \uadf8 \uc758\ubbf8\ub294 \uc704\uc5d0\uc11c \uc124\uba85\ud55c \ubc14\uc640 \uac19\uc2b5\ub2c8\ub2e4.<\/p>\r\n","output":"<p>\ucd9c\ub825\uc5d4 2\ubc88\uc9f8 \ud615\ud0dc\uc758 \ubc31\uc124\uacf5\uc8fc\uc758 \uba85\ub839\uc5d0 \ub300\ud55c \ub300\ub2f5\uc744&nbsp;&quot;YES&quot;\ub098 &quot;NO&quot;\ub85c&nbsp;\ud55c \uc904\uc5d0 \ud55c\ubc88\uc529&nbsp;\ucd9c\ub825\ud569\ub2c8\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5817","problem_lang":"1","title":"SNJEGULJICA","description":"<p>In a small village beyond seven hills and seven seas, Snow White lives together with N dwarves who spend all their time eating and playing League of Legends. Snow White wants to put an end to this, so she has organized gym classes for them.&nbsp;<\/p>\r\n\r\n<p>At the beginning of each class, the dwarves must stand in line, ordered by their height. For the purposes of this task, assume that the dwarves have heights 1, 2, ..., N (each exactly once). However, the dwarves&#39; intelligence has somewhat deteriorated from the unhealthy lifestyle, so they are incapable of ordering themselves by height. That&#39;s why Snow White helps them by issuing commands of the form:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>1 X Y -- dwarves at positions X and Y in the line must switch places.&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>She also checks their ordering by issuing queries of the form:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>2 A B -- do dwarves with heights A, A+1, ..., B (not necessarily in that order) occupy a contiguous subsequence of the current line?&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Help the doofus dwarves follow Snow White&#39;s instructions and respond to her queries.&nbsp;<\/p>\r\n","input":"<p>The first line of input contains the two positive integers N and M, the number of dwarves and the number of Snow White&#39;s requests, respectively (2 &le; N &le; 200 000, 2 &le; M &le; 200 000).&nbsp;<\/p>\r\n\r\n<p>The following line contains N space-separated positive integers from 1 to N, each exactly once, representing the initial arrangement of the dwarves.&nbsp;<\/p>\r\n\r\n<p>Each of the following M lines contains a single Snow White&#39;s request, of the form &quot;1 X Y&quot; (1 &le; X, Y &le;N, X &ne; Y) or &ldquo;2 A B&rdquo; (1 &le; A &le; B &le; N), as described in the problem statement.&nbsp;<\/p>\r\n","output":"<p>The output must contain one line for each request of type 2, containing the reply to the query, either &ldquo;YES&rdquo; or &ldquo;NO&rdquo;.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]