시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB358269049919.880%

문제

보이저 1호는 1977년에 발사된 NASA의 태양계 무인 탐사선이다. 현재 보이저 1호는 태양권덮개 (헬리오시스)에 있다.

보이저 1호와 같이 오랜 기간동안 활동하는 탐사선은 경로를 항성계를 만날 때 마다 라디오 시그널 메시지를 이용해서 기록하고 있다.

항성계를 N * M개의 직사각형으로 나누어져 있는 N행 M열의 직사각형 그리드라고 생각해보자. 각 칸은 행성, 블랙홀을 포함할 수 있으며, 비어있을 수도 있다. 탐사선은 인접한 네 칸(위, 아래, 오른쪽, 왼쪽)중에서 하나를 골라서 시그널을 보낸다.

시그널은 항상 일직선으로 전파되며, 행성을 만났을 경우에는 전파되는 방향이 90도로 바뀌게 된다. 행성은 '/'와 '\'로 표현되는 두 종류가 있으며, 반사되는 법칙은 아래 그림과 같다.

시그널이 블랙홀이 있는 칸을 만나거나 항성계를 벗어날 때 까지 계속 전파된다. 시그널이 인접한 칸으로 이동하는데 걸리는 시간은 1초이다.

탐사선이 어느 방향으로 시그널을 보내면, 시그널이 항성계 내부에 있는 시간이 최대가 되는지 구하는 프로그램을 작성하시오.

입력

첫째 줄에 N과 M이 주어진다. (1 ≤ N, M ≤ 500)

다음 N개 줄에는 M개의 문자가 주어지며, '/'와 '\'는 행성을, C는 블랙홀을, '.'는 빈 칸을 나타낸다.

마지막 줄에는 탐사선이 있는 위치 PR과 PC가 주어진다. (1 ≤ PR ≤ N, 1 ≤ PC ≤ M)

출력

첫째 줄에 시그널을 보내는 방향을 출력한다. (U: 위, R: 오른쪽, D: 아래, L: 왼쪽)

만약, 방향이 여러 가지가 존재한다면, U, R, D, L의 순서 중 앞서는 것을 출력한다.

둘째 줄에는 가장 긴 시간을 출력한다. 만약, 시그널이 항성계 내에서 무한히 전파될 수 있다면 "Voyager"를 출력한다.

예제 입력 1

5 5
../.\
.....
.C...
...C.
\.../
3 3

예제 출력 1

U
17

예제 입력 2

5 5
....\
\..\.
./\..
\../C
.\../
1 1

예제 출력 2

D
12

예제 입력 3

5 7
/.....\
../..\.
\...../
/.....\
\.\.../
3 3

예제 출력 3

R
Voyager

힌트

초기 상태 위(U) 방향 오른쪽(R) 방향 아래(D) 방향 왼쪽(L) 방향
../.\
.....
.CS..
...C.
\.../
*.***
*.*.*
*C*.*
*..C*
*****
../.\
.....
.C***
...C.
\.../
../.\
.....
.C*..
..*C.
\.*./
../.\
.....
.C*..
...C.
\.../
  17초 3초 3초 1초
[{"problem_id":"3987","problem_lang":"0","title":"\ubcf4\uc774\uc800 1\ud638","description":"<p>\ubcf4\uc774\uc800 1\ud638\ub294 1977\ub144\uc5d0 \ubc1c\uc0ac\ub41c NASA\uc758 \ud0dc\uc591\uacc4 \ubb34\uc778 \ud0d0\uc0ac\uc120\uc774\ub2e4. \ud604\uc7ac \ubcf4\uc774\uc800 1\ud638\ub294 \ud0dc\uc591\uad8c\ub36e\uac1c (\ud5ec\ub9ac\uc624\uc2dc\uc2a4)\uc5d0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubcf4\uc774\uc800 1\ud638\uc640 \uac19\uc774 \uc624\ub79c \uae30\uac04\ub3d9\uc548 \ud65c\ub3d9\ud558\ub294 \ud0d0\uc0ac\uc120\uc740 \uacbd\ub85c\ub97c \ud56d\uc131\uacc4\ub97c \ub9cc\ub0a0 \ub54c \ub9c8\ub2e4 \ub77c\ub514\uc624 \uc2dc\uadf8\ub110 \uba54\uc2dc\uc9c0\ub97c \uc774\uc6a9\ud574\uc11c \uae30\ub85d\ud558\uace0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud56d\uc131\uacc4\ub97c N * M\uac1c\uc758 \uc9c1\uc0ac\uac01\ud615\uc73c\ub85c \ub098\ub204\uc5b4\uc838 \uc788\ub294 N\ud589 M\uc5f4\uc758 \uc9c1\uc0ac\uac01\ud615 \uadf8\ub9ac\ub4dc\ub77c\uace0 \uc0dd\uac01\ud574\ubcf4\uc790. \uac01 \uce78\uc740 \ud589\uc131, \ube14\ub799\ud640\uc744 \ud3ec\ud568\ud560 \uc218 \uc788\uc73c\uba70, \ube44\uc5b4\uc788\uc744 \uc218\ub3c4 \uc788\ub2e4. \ud0d0\uc0ac\uc120\uc740 \uc778\uc811\ud55c \ub124 \uce78(\uc704, \uc544\ub798, \uc624\ub978\ucabd, \uc67c\ucabd)\uc911\uc5d0\uc11c \ud558\ub098\ub97c \uace8\ub77c\uc11c \uc2dc\uadf8\ub110\uc744 \ubcf4\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc2dc\uadf8\ub110\uc740 \ud56d\uc0c1 \uc77c\uc9c1\uc120\uc73c\ub85c \uc804\ud30c\ub418\uba70, \ud589\uc131\uc744 \ub9cc\ub0ac\uc744 \uacbd\uc6b0\uc5d0\ub294 \uc804\ud30c\ub418\ub294 \ubc29\ud5a5\uc774 90\ub3c4\ub85c \ubc14\ub00c\uac8c \ub41c\ub2e4. \ud589\uc131\uc740 &#39;\/&#39;\uc640 &#39;\\&#39;\ub85c \ud45c\ud604\ub418\ub294 \ub450 \uc885\ub958\uac00 \uc788\uc73c\uba70, \ubc18\uc0ac\ub418\ub294 \ubc95\uce59\uc740 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/d64de82b-5fce-46ac-a54a-315b0a157136\/-\/preview\/\" style=\"width: 641px; height: 134px;\" \/><\/p>\r\n\r\n<p>\uc2dc\uadf8\ub110\uc774 \ube14\ub799\ud640\uc774 \uc788\ub294 \uce78\uc744 \ub9cc\ub098\uac70\ub098 \ud56d\uc131\uacc4\ub97c \ubc97\uc5b4\ub0a0 \ub54c \uae4c\uc9c0 \uacc4\uc18d \uc804\ud30c\ub41c\ub2e4. \uc2dc\uadf8\ub110\uc774 \uc778\uc811\ud55c \uce78\uc73c\ub85c \uc774\ub3d9\ud558\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 1\ucd08\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud0d0\uc0ac\uc120\uc774 \uc5b4\ub290 \ubc29\ud5a5\uc73c\ub85c \uc2dc\uadf8\ub110\uc744 \ubcf4\ub0b4\uba74, \uc2dc\uadf8\ub110\uc774 \ud56d\uc131\uacc4 \ub0b4\ubd80\uc5d0 \uc788\ub294 \uc2dc\uac04\uc774 \ucd5c\ub300\uac00 \ub418\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 N\uacfc M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N, M &le; 500)<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uac1c \uc904\uc5d0\ub294 M\uac1c\uc758 \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c0\uba70, &#39;\/&#39;\uc640 &#39;\\&#39;\ub294 \ud589\uc131\uc744, C\ub294 \ube14\ub799\ud640\uc744, &#39;.&#39;\ub294 \ube48 \uce78\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 \ud0d0\uc0ac\uc120\uc774 \uc788\ub294 \uc704\uce58 PR\uacfc PC\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; PR &le; N, 1 &le; PC &le; M)<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc2dc\uadf8\ub110\uc744 \ubcf4\ub0b4\ub294 \ubc29\ud5a5\uc744 \ucd9c\ub825\ud55c\ub2e4. (U: \uc704, R: \uc624\ub978\ucabd, D: \uc544\ub798, L: \uc67c\ucabd)<\/p>\r\n\r\n<p>\ub9cc\uc57d, \ubc29\ud5a5\uc774 \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc874\uc7ac\ud55c\ub2e4\uba74, U, R, D, L\uc758 \uc21c\uc11c \uc911 \uc55e\uc11c\ub294 \uac83\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uac00\uc7a5 \uae34 \uc2dc\uac04\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \uc2dc\uadf8\ub110\uc774 \ud56d\uc131\uacc4 \ub0b4\uc5d0\uc11c \ubb34\ud55c\ud788 \uc804\ud30c\ub420 \uc218 \uc788\ub2e4\uba74 &quot;Voyager&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<table class=\"table table-bordered\" style=\"width:100%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"text-align:center; width:20%\">\ucd08\uae30 \uc0c1\ud0dc<\/th>\r\n\t\t\t<th style=\"text-align:center; width:20%\">\uc704(U) \ubc29\ud5a5<\/th>\r\n\t\t\t<th style=\"text-align:center; width:20%\">\uc624\ub978\ucabd(R) \ubc29\ud5a5<\/th>\r\n\t\t\t<th style=\"text-align:center; width:20%\">\uc544\ub798(D) \ubc29\ud5a5<\/th>\r\n\t\t\t<th style=\"text-align:center; width:20%\">\uc67c\ucabd(L) \ubc29\ud5a5<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>\r\n\t\t\t<pre style=\"text-align:center\">\r\n..\/.\\\r\n.....\r\n.CS..\r\n...C.\r\n\\...\/<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre style=\"text-align:center\">\r\n*.***\r\n*.*.*\r\n*C*.*\r\n*..C*\r\n*****<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre style=\"text-align:center\">\r\n..\/.\\\r\n.....\r\n.C***\r\n...C.\r\n\\...\/<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre style=\"text-align:center\">\r\n..\/.\\\r\n.....\r\n.C*..\r\n..*C.\r\n\\.*.\/<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre style=\"text-align:center\">\r\n..\/.\\\r\n.....\r\n.C*..\r\n...C.\r\n\\...\/<\/pre>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">&nbsp;<\/td>\r\n\t\t\t<td style=\"text-align:center\">17\ucd08<\/td>\r\n\t\t\t<td style=\"text-align:center\">3\ucd08<\/td>\r\n\t\t\t<td style=\"text-align:center\">3\ucd08<\/td>\r\n\t\t\t<td style=\"text-align:center\">1\ucd08<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3987","problem_lang":"1","title":"VOYAGER","description":"<p>The Voyager 1 space probe (not to be confused with the Intrepid-class starship) was launched a long time ago, in 1977, and is currently on the verge of leaving our Solar System. As it travels further through space, it has been programmed to leave a radio signal message in any star system it stumbles upon, to mark the probe&#39;s path for as long as possible.&nbsp;<\/p>\r\n\r\n<p>Let us assume that a star system can be represented by a rectangular grid with N rows and M columns, dividing the space into N by M equal cells. Each cell can contain a single planet, black hole, or be empty. The probe broadcasts the signal from a pre-determined empty cell, in one of the four axis-aligned directions (&ldquo;U&rdquo;-up, &ldquo;R&rdquo;-right, &ldquo;D&rdquo;-down, &ldquo;L&rdquo;-left). Upon being broadcast, the signal propagates in a straight line along the same row\/column until it reaches a planet, where it is deflected by 90 degrees in another direction. There are two kinds of planets, which we will denote by &bdquo;\/&ldquo; and &bdquo;\\&ldquo;. The deflection rules are shown in the image below:&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/d64de82b-5fce-46ac-a54a-315b0a157136\/-\/preview\/\" style=\"width: 641px; height: 134px;\" \/><\/p>\r\n\r\n<p>The signal permanently leaves the system upon either entring a cell containing a black hole, or propagating outside the edges of the rectangular grid. It is also known that the signal needs one second to propagate from the current cell to a neighbouring one.&nbsp;<\/p>\r\n\r\n<p>Write a program to determine the direction in which the probe needs to broadcast the signal so that it remains within the system for as long as possible, outputting the optimal direction as well as the resulting longest time. If it is possible for the signal to remain in the system indefinitely, output the message &bdquo;Voyager&ldquo; instead of the required time.&nbsp;<\/p>\r\n","input":"<p>The first line of input contains two positive integers, N (1 &le; N &le; 500) and M (1 &le; M &le; 500).&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains M characters from the set {&ldquo;\/&rdquo;, &ldquo;\\&rdquo;, &ldquo;C&rdquo;, &ldquo;.&rdquo;}, where &ldquo;\/&rdquo; and &ldquo;\\&rdquo; represent the two kinds of planets, &ldquo;C&rdquo; represents a black hole, and &ldquo;.&rdquo; represents an empty cell.<\/p>\r\n\r\n<p>The last line of input contains two positive integers, PR (1 &le; PR &le; N) and PC (1 &le; PC &le; M), the row and column number, respectively, of the cell where the probe is situated.&nbsp;<\/p>\r\n","output":"<p>The first line of output must contain the required optimal broadcast direction (&ldquo;U&rdquo;, &ldquo;R&rdquo;, &ldquo;D&rdquo;, or &ldquo;L&rdquo;). If the solution is not unique, select the first optimal one in the following priority order: first &ldquo;U&rdquo;, then &ldquo;R&rdquo;, then &ldquo;D&rdquo;, and finally &ldquo;L&rdquo;.&nbsp;<\/p>\r\n\r\n<p>The second line of output must contain the required longest time (or message).<\/p>\r\n","hint":"<table class=\"table table-bordered td-center th-center\" style=\"width:100%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"width:20%\">start<\/th>\r\n\t\t\t<th style=\"width:20%\">&#39;U&#39; direction<\/th>\r\n\t\t\t<th style=\"width:20%\">&#39;R&#39; direction<\/th>\r\n\t\t\t<th style=\"width:20%\">&#39;D&#39; direction<\/th>\r\n\t\t\t<th style=\"width:20%\">&#39;L&#39; direction<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>\r\n\t\t\t<div style=\"font-family:monospace;\">..\/.\\<br \/>\r\n\t\t\t.....<br \/>\r\n\t\t\t.CS..<br \/>\r\n\t\t\t...C.<br \/>\r\n\t\t\t\\...\/<\/div>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<div style=\"font-family:monospace;\">*.***<br \/>\r\n\t\t\t*.*.*<br \/>\r\n\t\t\t*C*.*<br \/>\r\n\t\t\t*..C*<br \/>\r\n\t\t\t*****<\/div>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<div style=\"font-family:monospace;\">..\/.\\<br \/>\r\n\t\t\t.....<br \/>\r\n\t\t\t.C***<br \/>\r\n\t\t\t...C.<br \/>\r\n\t\t\t\\...\/<\/div>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<div style=\"font-family:monospace;\">..\/.\\<br \/>\r\n\t\t\t.....<br \/>\r\n\t\t\t.C*..<br \/>\r\n\t\t\t..*C.<br \/>\r\n\t\t\t\\.*.\/<\/div>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<div style=\"font-family:monospace;\">..\/.\\<br \/>\r\n\t\t\t.....<br \/>\r\n\t\t\t.C*..<br \/>\r\n\t\t\t...C.<br \/>\r\n\t\t\t\\...\/<\/div>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>17 seconds<\/td>\r\n\t\t\t<td>3 seconds<\/td>\r\n\t\t\t<td>3 seconds<\/td>\r\n\t\t\t<td>1 seconds<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2012/2013 > Contest #4 3번