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문제

루빅스 큐브는 삼차원 퍼즐이다. 보통 루빅스 큐브는 3×3×3개의 작은 정육면체로 이루어져 있다. 퍼즐을 풀려면 각 면에 있는 아홉 개의 작은 정육면체의 색이 동일해야 한다.

큐브는 각 면을 양방향으로 90도 만큼 돌릴 수 있도록 만들어져 있다. 회전이 마친 이후에는, 다른 면을 돌릴 수 있다. 이렇게 큐브의 서로 다른 면을 돌리다 보면, 색을 섞을 수 있다.

이 문제에서는 루빅스 큐브가 모두 풀린 상태에서 시작한다. 윗 면은 흰색, 아랫 면은 노란색, 앞 면은 빨간색, 뒷 면은 오렌지색, 왼쪽 면은 초록색, 오른쪽 면은 파란색이다.

루빅스 큐브를 돌린 방법이 순서대로 주어진다. 이때, 모두 돌린 다음에 가장 윗 면의 색상을 구하는 프로그램을 작성하시오.

위의 그림은 루빅스 큐브를 푼 그림이다. 왼쪽 면은 시계방향으로 조금 돌려져 있는 상태이다.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스는 최대 100개이다. 각 테스트 케이스는 다음과 같이 구성되어져 있다.

  • 첫째 줄에 큐브를 돌린 횟수 n이 주어진다. (1 ≤ n ≤ 1000)
  • 둘째 줄에는 큐브를 돌린 방법이 주어진다. 각 방법은 공백으로 구분되어져 있으며, 첫 번째 문자는 돌린 면이다. U: 윗 면, D: 아랫 면, F: 앞 면, B: 뒷 면, L: 왼쪽 면, R: 오른쪽 면이다. 두 번째 문자는 돌린 방향이다. +인 경우에는 시계 방향 (그 면을 바라봤을 때가 기준), -인 경우에는 반시계 방향이다.

출력

각 테스트 케이스에 대해서 큐브를 모두 돌린 후의 윗 면의 색상을 출력한다. 첫 번째 줄에는 뒷 면과 접하는 칸의 색을 출력하고, 두 번째, 세 번째 줄은 순서대로 출력하면 된다. 흰색은 w, 노란색은 y, 빨간색은 r, 오렌지색은 o, 초록색은 g, 파란색은 b.

예제 입력 1

4
1
L-
2
F+ B+
4
U- D- L+ R+
10
L- U- L+ U- L- U- U- L+ U+ U+

예제 출력 1

rww
rww
rww
bbb
www
ggg
gwg
owr
bwb
gwo
www
rww
[{"problem_id":"5373","problem_lang":"0","title":"\ud050\ube59","description":"<p>\ub8e8\ube45\uc2a4 \ud050\ube0c\ub294 \uc0bc\ucc28\uc6d0 \ud37c\uc990\uc774\ub2e4. \ubcf4\ud1b5 \ub8e8\ube45\uc2a4 \ud050\ube0c\ub294 3&times;3&times;3\uac1c\uc758 \uc791\uc740 \uc815\uc721\uba74\uccb4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \ud37c\uc990\uc744 \ud480\ub824\uba74 \uac01 \uba74\uc5d0 \uc788\ub294 \uc544\ud649 \uac1c\uc758 \uc791\uc740 \uc815\uc721\uba74\uccb4\uc758 \uc0c9\uc774 \ub3d9\uc77c\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud050\ube0c\ub294 \uac01 \uba74\uc744 \uc591\ubc29\ud5a5\uc73c\ub85c 90\ub3c4 \ub9cc\ud07c \ub3cc\ub9b4 \uc218 \uc788\ub3c4\ub85d \ub9cc\ub4e4\uc5b4\uc838 \uc788\ub2e4. \ud68c\uc804\uc774 \ub9c8\uce5c \uc774\ud6c4\uc5d0\ub294, \ub2e4\ub978 \uba74\uc744 \ub3cc\ub9b4 \uc218 \uc788\ub2e4. \uc774\ub807\uac8c \ud050\ube0c\uc758 \uc11c\ub85c \ub2e4\ub978 \uba74\uc744 \ub3cc\ub9ac\ub2e4 \ubcf4\uba74, \uc0c9\uc744 \uc11e\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 \ub8e8\ube45\uc2a4 \ud050\ube0c\uac00 \ubaa8\ub450 \ud480\ub9b0 \uc0c1\ud0dc\uc5d0\uc11c \uc2dc\uc791\ud55c\ub2e4. \uc717 \uba74\uc740 \ud770\uc0c9, \uc544\ub7ab \uba74\uc740 \ub178\ub780\uc0c9, \uc55e \uba74\uc740 \ube68\uac04\uc0c9, \ub4b7 \uba74\uc740 \uc624\ub80c\uc9c0\uc0c9, \uc67c\ucabd \uba74\uc740 \ucd08\ub85d\uc0c9, \uc624\ub978\ucabd \uba74\uc740 \ud30c\ub780\uc0c9\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub8e8\ube45\uc2a4 \ud050\ube0c\ub97c \ub3cc\ub9b0 \ubc29\ubc95\uc774 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub54c, \ubaa8\ub450 \ub3cc\ub9b0 \ub2e4\uc74c\uc5d0 \uac00\uc7a5 \uc717 \uba74\uc758 \uc0c9\uc0c1\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/cube.png\" style=\"height:120px; width:319px\" \/><\/p>\r\n\r\n<p>\uc704\uc758 \uadf8\ub9bc\uc740 \ub8e8\ube45\uc2a4 \ud050\ube0c\ub97c \ud47c \uadf8\ub9bc\uc774\ub2e4. \uc67c\ucabd \uba74\uc740 \uc2dc\uacc4\ubc29\ud5a5\uc73c\ub85c \uc870\uae08 \ub3cc\ub824\uc838 \uc788\ub294 \uc0c1\ud0dc\uc774\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ucd5c\ub300 100\uac1c\uc774\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\uc131\ub418\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab\uc9f8 \uc904\uc5d0 \ud050\ube0c\ub97c \ub3cc\ub9b0 \ud69f\uc218 n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; n &le; 1000)<\/li>\r\n\t<li>\ub458\uc9f8 \uc904\uc5d0\ub294 \ud050\ube0c\ub97c \ub3cc\ub9b0 \ubc29\ubc95\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ubc29\ubc95\uc740 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc838 \uc788\uc73c\uba70, \uccab \ubc88\uc9f8 \ubb38\uc790\ub294 \ub3cc\ub9b0 \uba74\uc774\ub2e4. U: \uc717 \uba74, D: \uc544\ub7ab \uba74, F: \uc55e \uba74, B: \ub4b7 \uba74, L: \uc67c\ucabd \uba74, R: \uc624\ub978\ucabd \uba74\uc774\ub2e4. \ub450 \ubc88\uc9f8 \ubb38\uc790\ub294 \ub3cc\ub9b0 \ubc29\ud5a5\uc774\ub2e4. +\uc778 \uacbd\uc6b0\uc5d0\ub294 \uc2dc\uacc4 \ubc29\ud5a5 (\uadf8 \uba74\uc744 \ubc14\ub77c\ubd24\uc744 \ub54c\uac00 \uae30\uc900), -\uc778 \uacbd\uc6b0\uc5d0\ub294 \ubc18\uc2dc\uacc4 \ubc29\ud5a5\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c \ud050\ube0c\ub97c \ubaa8\ub450 \ub3cc\ub9b0 \ud6c4\uc758 \uc717 \uba74\uc758 \uc0c9\uc0c1\uc744 \ucd9c\ub825\ud55c\ub2e4. \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ub4b7 \uba74\uacfc \uc811\ud558\ub294 \uce78\uc758 \uc0c9\uc744 \ucd9c\ub825\ud558\uace0, \ub450 \ubc88\uc9f8, \uc138 \ubc88\uc9f8 \uc904\uc740 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4. \ud770\uc0c9\uc740 w, \ub178\ub780\uc0c9\uc740 y, \ube68\uac04\uc0c9\uc740 r, \uc624\ub80c\uc9c0\uc0c9\uc740 o, \ucd08\ub85d\uc0c9\uc740 g, \ud30c\ub780\uc0c9\uc740 b.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5373","problem_lang":"1","title":"Cubing","description":"<p>A Rubik&rsquo;s Cube is a three-dimensional puzzle. In its original version, it is made up of 3\u0002&times;3&times;\u00023 smaller cubes. Each of the visible faces of these smaller cubes has one of six colors (white, yellow, red, orange, green or blue). A Rubik&rsquo;s Cube is said to be solved if on each face, the nine cubes all show the same color.<\/p>\r\n\r\n<p>The Cube is mechanically constructed such that it is possible to rotate any face (that is, any set of 3&times;\u00023 smaller cubes making up one of the six faces of the entire cube) by 90 degrees in both directions. When a rotation is completed, it is again possible to rotate any face in any direction. Thus by combining rotations performed on different faces, it is possible to mix up the colors. The puzzle is then to take a Cube whose colors are mixed up, and return it to its solved state.<\/p>\r\n\r\n<p>We start from a solved Rubik&rsquo;s Cube, which is completely white on the top (up) face, yellow on the bottom (down), red on the front, orange on the back, green on the left and blue on the right. You are given a sequence of rotations. Determine what the top face looks like after applying all rotations.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/cube.png\" style=\"height:120px; width:319px\" \/><\/p>\r\n\r\n<p>A solved Rubik&rsquo;s Cube. In the left image the top (white), front (red) and left (green) face are shown. In the right image the same cube is viewed from the opposite side, with the bottom (yellow), back (orange) and right (blue) face visible. Shown is the way in which a face can be rotated (in this case, the left face is partially rotated clockwise).<\/p>\r\n","input":"<p>On the \ufb01rst line one positive number: the number of test cases, at most 100. After that per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with an integer n (1 &le;&nbsp;n &le;&nbsp;1 000): the number of rotations.<\/li>\r\n\t<li>one line with n space-separated pairs of characters: the rotations. For each rotation, the \ufb01rst character identi\ufb01es the face that is rotated: &lsquo;U&rsquo; for the top (up) face, &lsquo;D&rsquo; for the bottom (down), &lsquo;F&rsquo; for the front, &lsquo;B&rsquo; for the back, &lsquo;L&rsquo; for the left and &lsquo;R&rsquo; for the right. The second character indicates the direction of the rotation: &lsquo;+&rsquo; for a clockwise rotation (when looking directly at the face that is rotated), &lsquo;-&rsquo; for a counterclockwise rotation.<\/li>\r\n<\/ul>\r\n","output":"<p>Per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>three lines, each with three characters: the colors of the squares on the top face of the cube, after applying the rotations. The \ufb01rst line corresponds to the squares adjacent to the back side of the cube. The colors are indicated by the \ufb01rst letter (lower case): &lsquo;w&rsquo; for white, &lsquo;y&rsquo; for yellow, &lsquo;r&rsquo; for red, &lsquo;o&rsquo; for orange, &lsquo;g&rsquo; for green and &lsquo;b&rsquo; for blue.<\/li>\r\n<\/ul>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]