시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB6511717.073%

문제

매우(거의 무한할 정도로) 큰 공장이 하나 있다. 이 공장은 벽으로 둘러싸인 사각형 모양을 하고 있다. 이 공장에는 N(1 ≤ N ≤ 100)개의 굴뚝이 있는데, 각각의 굴뚝들은 어떤 특정한 모양을 하고 있다. 몇 개의 굴뚝들은 서로 같은 모양을 하고 있기도 하다.

이 공장에서는 최신 기술을 이용한 개발이 진행되고 있는데, 이 기술의 보안을 유지하기 위해서 한 대의 감시 로봇을 사용하고 있다. 감시 로봇은 x축을 따라서 움직이게 되는데, 로봇의 위치가 어디인지를 알아야 할 필요가 있다. 그런데 로봇 안에 들어있는 위치 센서가 좋지 않을뿐더러, 건물의 크기가 매우 크기 때문에, 위치를 직접 알려주지는 못하고, 로봇이 굴뚝을 관찰한 순서가 주어지게 된다.

로봇은 우선 x축 위에서, 왼쪽(x좌표가 음의 무한대인 쪽)을 바라보고 서 있다. 그리고 로봇은 시계방향으로 오른쪽(x좌표가 양의 무한대인 쪽)까지 돌게 된다. 로봇은 돌면서 자신이 보게 되는 굴뚝의 모양을 차례대로 알려주게 된다. 모든 굴뚝들의 높이는 같기 때문에, 로봇이 보고 있는 방향에 여러 굴뚝이 있다면 제일 앞에 있는 굴뚝만을 보게 된다.

공장 측에서는 이와 같은 방법을 이용하면 로봇의 위치를 구해낼 수 있을 거라 생각했지만, 답이 유일하게 나오는 것이 아니라 여러 구간의 형태로 나옴을 알게 되었다. 따라서 공장 측에서는, 이와 같은 구간들을 구하려고 한다.

로봇이 굴뚝을 관찰한 순서와 각 굴뚝의 위치가 주어졌을 때, 로봇이 있을 수 있는 위치를 구해내는 프로그램을 작성하시오.

입력

첫째 줄에 굴뚝의 개수 N이 주어진다. 다음 줄에는 로봇이 굴뚝을 관찰한 순서대로 굴뚝의 모양이 주어진다. 건물에 없는 굴뚝을 본 경우나, 굴뚝을 N개 미만으로 본 경우는 입력으로 주어지지 않는다. 다음 N개의 줄에는 각 굴뚝의 모양을 나타내는 문자와, 굴뚝의 x(-100 ≤ x ≤ 100), y(0 < y ≤ 100)좌표가 주어진다. 굴뚝의 모양은 알파벳 대문자로 표현되며, 모든 좌표는 정수이다. 두 굴뚝의 좌표가 같은 경우는 없다.

출력

첫째 줄에 구간의 개수 K가 주어진다. 다음 K개의 줄에는 두 개의 실수로 구간의 왼쪽, 오른쪽 끝점을 출력한다. 건물의 크기는 매우 크다고(무한하다고) 가정하며, 건물의 양 끝점의 경우에는 좌표 대신에 *을 출력한다. 상대 오차는 10-4까지 허용한다.

예제 입력 1

4
CDDC
C 0 7
D 4 5
C -2 1
D -2 3

예제 출력 1

3
* -11.0000
-11.0000 -3.5000
14.0000 *

예제 입력 2

4
DCCD
C 0 7
D 4 5
C -2 1
D -2 3

예제 출력 2

2
-3.5000 -2.3333
-2.3333 -2.0000

예제 입력 3

4
DCDC
C 0 7
D 4 5
C -2 1
D -2 3

예제 출력 3

0
[{"problem_id":"2100","problem_lang":"0","title":"\uac10\uc2dc \ub85c\ubd07","description":"<p>\ub9e4\uc6b0(\uac70\uc758 \ubb34\ud55c\ud560 \uc815\ub3c4\ub85c) \ud070 \uacf5\uc7a5\uc774 \ud558\ub098 \uc788\ub2e4. \uc774 \uacf5\uc7a5\uc740 \ubcbd\uc73c\ub85c \ub458\ub7ec\uc2f8\uc778 \uc0ac\uac01\ud615 \ubaa8\uc591\uc744 \ud558\uace0 \uc788\ub2e4. \uc774 \uacf5\uc7a5\uc5d0\ub294 N(1 &le; N &le; 100)\uac1c\uc758 \uad74\ub69d\uc774 \uc788\ub294\ub370, \uac01\uac01\uc758 \uad74\ub69d\ub4e4\uc740 \uc5b4\ub5a4 \ud2b9\uc815\ud55c \ubaa8\uc591\uc744 \ud558\uace0 \uc788\ub2e4. \uba87 \uac1c\uc758 \uad74\ub69d\ub4e4\uc740 \uc11c\ub85c \uac19\uc740 \ubaa8\uc591\uc744 \ud558\uace0 \uc788\uae30\ub3c4 \ud558\ub2e4.<\/p>\r\n\r\n<p>\uc774 \uacf5\uc7a5\uc5d0\uc11c\ub294 \ucd5c\uc2e0 \uae30\uc220\uc744 \uc774\uc6a9\ud55c \uac1c\ubc1c\uc774 \uc9c4\ud589\ub418\uace0 \uc788\ub294\ub370, \uc774 \uae30\uc220\uc758 \ubcf4\uc548\uc744 \uc720\uc9c0\ud558\uae30 \uc704\ud574\uc11c \ud55c \ub300\uc758 \uac10\uc2dc \ub85c\ubd07\uc744 \uc0ac\uc6a9\ud558\uace0 \uc788\ub2e4. \uac10\uc2dc \ub85c\ubd07\uc740 x\ucd95\uc744 \ub530\ub77c\uc11c \uc6c0\uc9c1\uc774\uac8c \ub418\ub294\ub370, \ub85c\ubd07\uc758 \uc704\uce58\uac00 \uc5b4\ub514\uc778\uc9c0\ub97c \uc54c\uc544\uc57c \ud560 \ud544\uc694\uac00 \uc788\ub2e4. \uadf8\ub7f0\ub370 \ub85c\ubd07 \uc548\uc5d0 \ub4e4\uc5b4\uc788\ub294 \uc704\uce58 \uc13c\uc11c\uac00 \uc88b\uc9c0 \uc54a\uc744\ubfd0\ub354\ub7ec, \uac74\ubb3c\uc758 \ud06c\uae30\uac00 \ub9e4\uc6b0 \ud06c\uae30 \ub54c\ubb38\uc5d0, \uc704\uce58\ub97c \uc9c1\uc811 \uc54c\ub824\uc8fc\uc9c0\ub294 \ubabb\ud558\uace0, \ub85c\ubd07\uc774 \uad74\ub69d\uc744 \uad00\ucc30\ud55c \uc21c\uc11c\uac00 \uc8fc\uc5b4\uc9c0\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub85c\ubd07\uc740 \uc6b0\uc120 x\ucd95 \uc704\uc5d0\uc11c, \uc67c\ucabd(x\uc88c\ud45c\uac00 \uc74c\uc758 \ubb34\ud55c\ub300\uc778 \ucabd)\uc744 \ubc14\ub77c\ubcf4\uace0 \uc11c \uc788\ub2e4. \uadf8\ub9ac\uace0 \ub85c\ubd07\uc740 \uc2dc\uacc4\ubc29\ud5a5\uc73c\ub85c \uc624\ub978\ucabd(x\uc88c\ud45c\uac00 \uc591\uc758 \ubb34\ud55c\ub300\uc778 \ucabd)\uae4c\uc9c0 \ub3cc\uac8c \ub41c\ub2e4. \ub85c\ubd07\uc740 \ub3cc\uba74\uc11c \uc790\uc2e0\uc774 \ubcf4\uac8c \ub418\ub294 \uad74\ub69d\uc758 \ubaa8\uc591\uc744 \ucc28\ub840\ub300\ub85c \uc54c\ub824\uc8fc\uac8c \ub41c\ub2e4. \ubaa8\ub4e0 \uad74\ub69d\ub4e4\uc758 \ub192\uc774\ub294 \uac19\uae30 \ub54c\ubb38\uc5d0, \ub85c\ubd07\uc774 \ubcf4\uace0 \uc788\ub294 \ubc29\ud5a5\uc5d0 \uc5ec\ub7ec \uad74\ub69d\uc774 \uc788\ub2e4\uba74 \uc81c\uc77c \uc55e\uc5d0 \uc788\ub294 \uad74\ub69d\ub9cc\uc744 \ubcf4\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uacf5\uc7a5 \uce21\uc5d0\uc11c\ub294 \uc774\uc640 \uac19\uc740 \ubc29\ubc95\uc744 \uc774\uc6a9\ud558\uba74 \ub85c\ubd07\uc758 \uc704\uce58\ub97c \uad6c\ud574\ub0bc \uc218 \uc788\uc744 \uac70\ub77c \uc0dd\uac01\ud588\uc9c0\ub9cc, \ub2f5\uc774 \uc720\uc77c\ud558\uac8c \ub098\uc624\ub294 \uac83\uc774 \uc544\ub2c8\ub77c \uc5ec\ub7ec \uad6c\uac04\uc758 \ud615\ud0dc\ub85c \ub098\uc634\uc744 \uc54c\uac8c \ub418\uc5c8\ub2e4. \ub530\ub77c\uc11c \uacf5\uc7a5 \uce21\uc5d0\uc11c\ub294, \uc774\uc640 \uac19\uc740 \uad6c\uac04\ub4e4\uc744 \uad6c\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub85c\ubd07\uc774 \uad74\ub69d\uc744 \uad00\ucc30\ud55c \uc21c\uc11c\uc640 \uac01 \uad74\ub69d\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ub85c\ubd07\uc774 \uc788\uc744 \uc218 \uc788\ub294 \uc704\uce58\ub97c \uad6c\ud574\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uad74\ub69d\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \ub85c\ubd07\uc774 \uad74\ub69d\uc744 \uad00\ucc30\ud55c \uc21c\uc11c\ub300\ub85c \uad74\ub69d\uc758 \ubaa8\uc591\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uac74\ubb3c\uc5d0 \uc5c6\ub294 \uad74\ub69d\uc744 \ubcf8 \uacbd\uc6b0\ub098, \uad74\ub69d\uc744 N\uac1c \ubbf8\ub9cc\uc73c\ub85c \ubcf8 \uacbd\uc6b0\ub294 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\uc9c0 \uc54a\ub294\ub2e4. \ub2e4\uc74c N\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \uad74\ub69d\uc758 \ubaa8\uc591\uc744 \ub098\ud0c0\ub0b4\ub294 \ubb38\uc790\uc640, \uad74\ub69d\uc758 x(-100 &le; x &le; 100), y(0 &lt; y &le; 100)\uc88c\ud45c\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uad74\ub69d\uc758 \ubaa8\uc591\uc740 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\ub85c \ud45c\ud604\ub418\uba70, \ubaa8\ub4e0 \uc88c\ud45c\ub294 \uc815\uc218\uc774\ub2e4. \ub450 \uad74\ub69d\uc758 \uc88c\ud45c\uac00 \uac19\uc740 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uad6c\uac04\uc758 \uac1c\uc218 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c K\uac1c\uc758 \uc904\uc5d0\ub294 \ub450 \uac1c\uc758 \uc2e4\uc218\ub85c \uad6c\uac04\uc758 \uc67c\ucabd, \uc624\ub978\ucabd \ub05d\uc810\uc744 \ucd9c\ub825\ud55c\ub2e4. \uac74\ubb3c\uc758 \ud06c\uae30\ub294 \ub9e4\uc6b0 \ud06c\ub2e4\uace0(\ubb34\ud55c\ud558\ub2e4\uace0) \uac00\uc815\ud558\uba70, \uac74\ubb3c\uc758 \uc591 \ub05d\uc810\uc758 \uacbd\uc6b0\uc5d0\ub294 \uc88c\ud45c \ub300\uc2e0\uc5d0 *\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc0c1\ub300 \uc624\ucc28\ub294 10<sup>-4<\/sup>\uae4c\uc9c0 \ud5c8\uc6a9\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2100","problem_lang":"1","title":"Area 51","description":"<p>Michael and Nick are living near the famous top-secret &ldquo;Area 51&rdquo; facility. The facility is enclosed by a fence and is so large that for the purpose of this problem we consider the fence being a line that stretches infinitely into both directions.<\/p>\r\n\r\n<p>Only extremely brave boys are not scared to go to the fence and peek at the facility. Nick is among the brave ones. He once came to the fence and saw a number of chimneys with distinct shapes. As a proof of his bravery he tells everybody what chimneys he saw from his left to his right.<\/p>\r\n\r\n<p>Michael&rsquo;s father is working at &ldquo;Area 51&rdquo; and has a facility&rsquo;s map at his home. Michael found this map and he can now verify Nick&rsquo;s claim of being near the facility&rsquo;s fence. However, it turns out to be complicated, and your task is to write a program to perform this verification.<\/p>\r\n\r\n<p>On a map distinctly shaped chimneys are denoted by capital letters from A to Z. Each letter denotes a distinct shape, but chimneys with this shape can appear more than once on a map. The map uses Cartesian coordinate system oriented so that the fence is Ox axis and all chimneys are located on a half-plane with a positive y coordinate. All chimneys are considered to be points (their sizes and actual geometrical shapes are ignored for the purpose of this problem).<\/p>\r\n\r\n<p>Nick claims that he looked from a point on the fence where no two chimneys were on the same line of his sight (a line that originates from his point of view). It means that at the point he looked from, all the chimneys he saw had a well-defined order from left to right.<\/p>\r\n\r\n<p>Michael have already made a preliminary verification of Nick&rsquo;s claim. He made sure that the number of distinctly shaped chimneys matches their number on the map. Now Michael needs to perform a final verification &mdash; to get a list of x coordinates on a fence (if any) where the corresponding arrangement of chimneys could be seen from. This information shall be presented as an ordered list of open intervals (a<sub>1<\/sub>, b<sub>1<\/sub>), (a<sub>2<\/sub>, b<sub>2<\/sub>), ..., (a<sub>n<\/sub>, b<sub>n<\/sub>), so that a<sub>1<\/sub> &lt; b<sub>1<\/sub> &le; a<sub>2<\/sub> &lt; b<sub>2<\/sub> &le; ... &le; a<sub>n<\/sub> &lt; b<sub>n<\/sub>. Asterisk symbol (&ldquo;&lowast;&rdquo;) is used in place of a<sub>1<\/sub> and\/or bn to denote interval that extends to infinity on the left or on the right correspondingly.<\/p>\r\n\r\n<p>Note, that b<sub>i<\/sub> = a<sub>i<\/sub>+1 = x in case where Nick could not have been at the point x on a fence, because he would have seen more than one chimney on a single line of his sight, but being to the left or to the right of x yields the order of chimneys that he saw.<\/p>\r\n","input":"<p>The \ufb01rst line of the input \ufb01le contains an integer number m &mdash; the number of chimneys at the &ldquo;Area 51&rdquo; facility (1 &le; m &le; 100). The second line of the input \ufb01le contains a string of m letters from A to Z that describe the chimneys that Nick saw from his left to his right. A single letter can be used more than once (if Nick saw the same shape more than once). Then follow m lines that describe chimneys on the map. Each line contains three tokens separated by spaces &mdash; chimney shape letter (from A to Z), and two integers x<sub>i<\/sub> and y<sub>i<\/sub> &mdash; chimney coordinates (&minus;100 &le; x<sub>i<\/sub> &le; 100, 0 &lt; y<sub>i<\/sub> &le; 100). On these m lines letters appear in arbitrary order, but each letter from A to Z appears the same number of times as on the second line of the input \ufb01le. No two chimneys have the same coordinates.<\/p>\r\n","output":"<p>Write to the first line of the output file a single integer number n &mdash; the number of intervals that describe x coordinates on a fence where Nick could have seen the corresponding arrangement of chimneys from. Write to the second line of the output file 2n numbers a<sub>1<\/sub>, b<sub>1<\/sub>, ... , a<sub>n<\/sub>, b<sub>n<\/sub> using &ldquo;&lowast;&rdquo; instead of a number a<sub>1<\/sub> and\/or b<sub>n<\/sub> to denote infinity. Numbers must be precise up to 10<sup>&minus;6<\/sup>.<\/p>\r\n","hint":"<p>The picture below shows that if the boy looks from the point x = &minus;7 he sees the chimneys in the following order: C, D, D, C. It is so for any point from the set (&minus;&infin;, &minus;11) &cup; (&minus;11, &minus;3.5) &cup; (14, +&infin;) &mdash; the first example from the problem statement.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/area51.png\" style=\"height:244px; width:529px\" \/><\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]