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문제

100 원짜리 동전과 10 원짜리 동전이 임의의 순서로 한 선 위에 나열되어 있다고 하자. 이제 여기서 ‘두 손가락 이동’ 을 아래와 같이 정의하자.

  • 단계 1: 임의의 두 동전을 선택한다.
  • 단계 2: 단계 1 에서 선택한 두 동전을 둘의 순서를 유지한 채 임의의 위치로 이동한다. (두 동전 모두 제자리에 있거나 두 동전의 순서를 유지한다면 하나만 이동해도 된다.)

‘두 손가락 이동’ 후에도 다른 동전들 간의 순서는 그대로 유지된다. 예를 들어 100 원을 o, 10 원을 x 라 했을 때, 초기에 동전이 oxoxoxxxoo 와 같이 나열되어 있다 하자. 이제 이들 중 굵게 표시된 두 동전을 선택하여 두 손가락 이동을 한번 한 경우, 나올 수 있는 여러 결과들 중에서 네 가지 결과만 아래에 표시했다 (아래 예시에 없는 다른 결과들 또한 나올 수 있음에 유의하자).

  • oxoxoxxxoo
  • oxooxxxxoo
  • oxoxoxxoxo
  • oxoxoxxxoo

n 개의 동전이 나열되어 있는 두 상태 S, T와 함께 두 손가락 이동을 위해 선택할 두 동전의 위치가 주어졌을 때, 한번의 두 손가락 이동을 통해 S에서 T로의 변환이 가능한지 결정하는 프로그램을 작성하시오.

입력

입력은 표준입력을 사용한다. 첫 번째 줄에 나열된 동전 개수를 나타낸 양의 정수 n (3 ≤ n ≤ 10,000)이 주어진다. 다음 두 줄에 n 개의 동전이 나열된 상태인 ST 가 각각 주어지며, 이 때 STox 로 이루어진 길이가 n 인 문자열로 표현된다 (ox 는 모두 소문자이다). 동전의 위치는 왼쪽에서 오른쪽으로 0부터 n − 1까지 차례대로 번호를 매겨 구분한다. 마지막 줄에는 두 손가락 이동을 위해 선택할 두 동전의 위치 ij가 주어지며, ij 보다 작다 (0 ≤ i < jn − 1).

출력

출력은 표준출력을 사용한다. 한번의 두 손가락 이동을 통해 S 에서 T로의 변환이 가능한 경우 YES 를, 그렇지 않은 경우 NO 을 출력한다.

예제 입력 1

9
oxoxoxxxo
oxoxoxxox
4 5

예제 출력 1

YES

예제 입력 2

10
oxoxxoxxxo
ooxoxxxxox
3 4

예제 출력 2

NO
[{"problem_id":"20047","problem_lang":"0","title":"\ub3d9\uc804 \uc62e\uae30\uae30","description":"<p>100 \uc6d0\uc9dc\ub9ac \ub3d9\uc804\uacfc 10 \uc6d0\uc9dc\ub9ac \ub3d9\uc804\uc774 \uc784\uc758\uc758 \uc21c\uc11c\ub85c \ud55c \uc120 \uc704\uc5d0 \ub098\uc5f4\ub418\uc5b4 \uc788\ub2e4\uace0 \ud558\uc790. \uc774\uc81c \uc5ec\uae30\uc11c &lsquo;<strong>\ub450 \uc190\uac00\ub77d \uc774\ub3d9<\/strong>&rsquo; \uc744 \uc544\ub798\uc640 \uac19\uc774 \uc815\uc758\ud558\uc790.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub2e8\uacc4 1: \uc784\uc758\uc758 \ub450 \ub3d9\uc804\uc744 \uc120\ud0dd\ud55c\ub2e4.<\/li>\r\n\t<li>\ub2e8\uacc4 2: \ub2e8\uacc4 1 \uc5d0\uc11c \uc120\ud0dd\ud55c \ub450 \ub3d9\uc804\uc744 \ub458\uc758 \uc21c\uc11c\ub97c \uc720\uc9c0\ud55c \ucc44 \uc784\uc758\uc758 \uc704\uce58\ub85c \uc774\ub3d9\ud55c\ub2e4. (\ub450 \ub3d9\uc804 \ubaa8\ub450 \uc81c\uc790\ub9ac\uc5d0 \uc788\uac70\ub098 \ub450 \ub3d9\uc804\uc758 \uc21c\uc11c\ub97c \uc720\uc9c0\ud55c\ub2e4\uba74 \ud558\ub098\ub9cc \uc774\ub3d9\ud574\ub3c4 \ub41c\ub2e4.)<\/li>\r\n<\/ul>\r\n\r\n<p>&lsquo;\ub450 \uc190\uac00\ub77d \uc774\ub3d9&rsquo; \ud6c4\uc5d0\ub3c4 \ub2e4\ub978 \ub3d9\uc804\ub4e4 \uac04\uc758 \uc21c\uc11c\ub294 \uadf8\ub300\ub85c \uc720\uc9c0\ub41c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 100 \uc6d0\uc744 <code>o<\/code>, 10 \uc6d0\uc744 <code>x<\/code> \ub77c \ud588\uc744 \ub54c, \ucd08\uae30\uc5d0 \ub3d9\uc804\uc774 <code>oxox<strong>ox<\/strong>xxoo<\/code> \uc640 \uac19\uc774 \ub098\uc5f4\ub418\uc5b4 \uc788\ub2e4 \ud558\uc790. \uc774\uc81c \uc774\ub4e4 \uc911 \uad75\uac8c \ud45c\uc2dc\ub41c \ub450 \ub3d9\uc804\uc744 \uc120\ud0dd\ud558\uc5ec \ub450 \uc190\uac00\ub77d \uc774\ub3d9\uc744 \ud55c\ubc88 \ud55c \uacbd\uc6b0, \ub098\uc62c \uc218 \uc788\ub294 \uc5ec\ub7ec \uacb0\uacfc\ub4e4 \uc911\uc5d0\uc11c \ub124 \uac00\uc9c0 \uacb0\uacfc\ub9cc \uc544\ub798\uc5d0 \ud45c\uc2dc\ud588\ub2e4 (\uc544\ub798 \uc608\uc2dc\uc5d0 \uc5c6\ub294 \ub2e4\ub978 \uacb0\uacfc\ub4e4 \ub610\ud55c \ub098\uc62c \uc218 \uc788\uc74c\uc5d0 \uc720\uc758\ud558\uc790).<\/p>\r\n\r\n<ul>\r\n\t<li><code><strong>ox<\/strong>oxoxxxoo<\/code><\/li>\r\n\t<li><code>ox<strong>o<\/strong>oxxx<strong>x<\/strong>oo<\/code><\/li>\r\n\t<li><code>oxox<strong>o<\/strong>xxo<strong>x<\/strong>o<\/code><\/li>\r\n\t<li><code>oxox<strong>ox<\/strong>xxoo<\/code><\/li>\r\n<\/ul>\r\n\r\n<p><em>n<\/em> \uac1c\uc758 \ub3d9\uc804\uc774 \ub098\uc5f4\ub418\uc5b4 \uc788\ub294 \ub450 \uc0c1\ud0dc <em>S<\/em>, <em>T<\/em>\uc640 \ud568\uaed8 \ub450 \uc190\uac00\ub77d \uc774\ub3d9\uc744 \uc704\ud574 \uc120\ud0dd\ud560 \ub450 \ub3d9\uc804\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ud55c\ubc88\uc758 \ub450 \uc190\uac00\ub77d \uc774\ub3d9\uc744 \ud1b5\ud574 <em>S<\/em>\uc5d0\uc11c <em>T<\/em>\ub85c\uc758 \ubcc0\ud658\uc774 \uac00\ub2a5\ud55c\uc9c0 \uacb0\uc815\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \ud45c\uc900\uc785\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \uccab \ubc88\uc9f8 \uc904\uc5d0 \ub098\uc5f4\ub41c \ub3d9\uc804 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b8 \uc591\uc758 \uc815\uc218 <em>n<\/em> (3 &le; <em>n<\/em> &le; 10,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c \ub450 \uc904\uc5d0 <em>n<\/em> \uac1c\uc758 \ub3d9\uc804\uc774 \ub098\uc5f4\ub41c \uc0c1\ud0dc\uc778 <em>S<\/em> \uc640 <em>T<\/em> \uac00 \uac01\uac01 \uc8fc\uc5b4\uc9c0\uba70, \uc774 \ub54c <em>S<\/em>\uc640 <em>T<\/em> \ub294 <code>o<\/code> \uc640 <code>x<\/code> \ub85c \uc774\ub8e8\uc5b4\uc9c4 \uae38\uc774\uac00 <em>n<\/em> \uc778 \ubb38\uc790\uc5f4\ub85c \ud45c\ud604\ub41c\ub2e4 (<code>o<\/code> \uc640 <code>x<\/code> \ub294 \ubaa8\ub450 \uc18c\ubb38\uc790\uc774\ub2e4). \ub3d9\uc804\uc758 \uc704\uce58\ub294 \uc67c\ucabd\uc5d0\uc11c \uc624\ub978\ucabd\uc73c\ub85c 0\ubd80\ud130 <em>n<\/em> &minus; 1\uae4c\uc9c0 \ucc28\ub840\ub300\ub85c \ubc88\ud638\ub97c \ub9e4\uaca8 \uad6c\ubd84\ud55c\ub2e4. \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 \ub450 \uc190\uac00\ub77d \uc774\ub3d9\uc744 \uc704\ud574 \uc120\ud0dd\ud560 \ub450 \ub3d9\uc804\uc758 \uc704\uce58 <em>i<\/em>\uc640 <em>j<\/em>\uac00 \uc8fc\uc5b4\uc9c0\uba70, <em>i<\/em>\ub294 <em>j<\/em> \ubcf4\ub2e4 \uc791\ub2e4 (0 &le; <em>i<\/em> &lt; <em>j<\/em> &le; <em>n<\/em> &minus; 1).<\/p>\r\n","output":"<p>\ucd9c\ub825\uc740 \ud45c\uc900\ucd9c\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \ud55c\ubc88\uc758 \ub450 \uc190\uac00\ub77d \uc774\ub3d9\uc744 \ud1b5\ud574 <em>S<\/em> \uc5d0\uc11c <em>T<\/em>\ub85c\uc758 \ubcc0\ud658\uc774 \uac00\ub2a5\ud55c \uacbd\uc6b0 <code>YES<\/code> \ub97c, \uadf8\ub807\uc9c0 \uc54a\uc740 \uacbd\uc6b0 <code>NO<\/code> \uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"20047","problem_lang":"1","title":"Sliding Coins","description":"<p>Suppose pennies and nickels are arranged on the row. Now we define the &lsquo;two-finger sliding&rsquo; on these coins as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>Step 1. Choose any two arbitrary coins on the row.<\/li>\r\n\t<li>Step 2. Move them to any position on the row, while keeping their relative order. Note that &lsquo;any position&rsquo; contains their original positions (that means one can move only one, or none of coins for the twofinger sliding if their relative order is preserved).<\/li>\r\n<\/ul>\r\n\r\n<p>The relative order of unchosen coins is also preserved after the two-finger sliding. For example, suppose the initial arrangement of coins is <code>oxox<strong>ox<\/strong>xxoo<\/code>, where <code>o<\/code> and <code>x<\/code> represent pennies and nickels respectively. Then the following example shows four possible arrangements after one chooses two coins marked in bold and performs exactly one two-finger sliding (note that there are other possible arrangements).<\/p>\r\n\r\n<ul>\r\n\t<li><code><strong>ox<\/strong>oxoxxxoo<\/code><\/li>\r\n\t<li><code>ox<strong>o<\/strong>oxxx<strong>x<\/strong>oo<\/code><\/li>\r\n\t<li><code>oxox<strong>o<\/strong>xxo<strong>x<\/strong>o<\/code><\/li>\r\n\t<li><code>oxox<strong>ox<\/strong>xxoo<\/code><\/li>\r\n<\/ul>\r\n\r\n<p>Given two arrangements <em>S<\/em> and <em>T<\/em> of <em>n<\/em>&nbsp;coins and the positions of two chosen coins for the two-finger sliding, write a program to decide whether one can change the arrangement from <em>S<\/em> to <em>T<\/em> by exactly one two-finger sliding for the specified two coins.<\/p>\r\n","input":"<p>Your program is to read from standard input. The input starts with a line containing an integer <em>n<\/em>, (3 &le; <em>n<\/em> &le; 10,000), where <em>n<\/em> is the number of coins on the row. In the following two lines, two arrangements <em>S<\/em> and <em>T<\/em> of <em>n<\/em> coins are given where each arrangement is a string of size <em>n<\/em> from the lowercase alphabet <code>o<\/code> and <code>x<\/code>. The next line contains two nonnegative integers <em>i<\/em> and <em>j<\/em> which represent the positions of chosen coins for the two-finger sliding. The coin positions are indexed from 0 to <em>n<\/em> &minus; 1 from left to right, and <em>i<\/em> is smaller than <em>j<\/em> (0 &le; <em>i<\/em> &lt; <em>j<\/em> &le; <em>n<\/em> &minus; 1).<\/p>\r\n","output":"<p>Your program is to write to standard output. Print <code>YES<\/code> if one can change the arrangement from <em>S<\/em> to <em>T<\/em> by exactly one two-finger sliding for the specified two coins, and print <code>NO<\/code> otherwise.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]