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문제

수십년간 소프트웨어 엔지니어로 일해온 백승환은 이제 전혀 다른 일을 시작하기로 했다. 승환이는 여러 가지 일자리를 살펴보고 있었고, 승환이의 눈을 사로잡은 직업이 하나 있었으니… 그것은 양식업이었다.

오늘은 승환이가 출근한 첫 날이다.

승환이의 상사 규현이는 이미 승환이가 할 일을 정해놓았다. 승환이는 저수지 하나를 다른 것들로 부터 격리시켜야 한다.다음은 승환이가 생각한 방법이다.

두 저수지는 여러개의 수로로 서로 연결되어 있다. 각 수로에는 두 개의 문이 있다. 두 문이 모두 열려있으면, 수로는 열려있는 것이고, 그렇지 않으면 닫혀있는 것이다. 문은 스위치로 작동한다 하나의 스위치는 여러개의 문을 작동시킬 수 있지만, 각각의 문은 오직 단 하나의 스위치로만 작동시킬 수 있다. 하나의 스위치로 어떤 수로의 두 문을 작동 시키는 것이나, 스위치가 작동시킬 수 있는 문이 없는 것도 가능하다

위의 그림은 3개의 수로와 2개의 스위치가 있는 예이다.

스위치는 다음 두 가지 방법 중의 한 방법으로 문을 작동 시킨다.

  • 스위치가 켜져있으면, 문이 열려있고, 스위치가 꺼져있으면, 문이 닫혀있다.
  • 스위치가 켜져있으면, 문이 닫혀있고, 스위치가 꺼져있으면, 문이 열려있다.

승환이는 스위치를 가지고 조금 놀다가, 지금까지 수십년간 일해온 프로그래밍 스킬을 여기에 적용시킬 수 있다는 사실을 알았다. 문과 스위치간의 연결 설정이 주어졌을 때, 모든 수로를 닫는 것이 가능한지 구하는 프로그램을 작성하시오. 만약, 가능하다면, 각 스위치가 켜져야하는지, 꺼져야하는지, 상태를 출력한다.

입력

첫째 줄에 수로의 개수 N (1 ≤ N ≤ 250,000)과 스위치의 개수 M (1 ≤ M ≤ 500,000)이 주어진다. 둘째 줄부터 N개의 줄에 각 수로의 정보가 주어진다. 수로의 정보는 4개의 숫자로 이루어져 있고, a, sa, b, sb라고 한다. a와 b (1 ≤ a, b ≤ m)은 연결되어 문을 작동시키는 스위치이다. sa와 sb는 0과 1 중의 하나이다. si가 0이면, 스위치 i가 꺼져야 문이 닫히는 것이고, si가 1이면, 스위치 i가 켜져야 문이 닫히는 것이다.

출력

모든 수로를 닫는 것이 가능하면, m개의 줄에, 각 스위치가 꺼져야 하면 0을, 켜져야 하면 1을 출력한다. 여러 가지가 있으면, 아무거나 출력해도 된다.

모든 수로를 닫는 것이 불가능하다면, IMPOSSIBLE을 출력한다.

예제 입력 1

3 2
1 0 2 1
1 0 2 0
1 1 2 1

예제 출력 1

0
1

예제 입력 2

2 1
1 0 1 0
1 1 1 1

예제 출력 2

IMPOSSIBLE
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height: 256px;\" \/><\/p>\r\n\r\n<p style=\"text-align: left;\">\uc704\uc758 \uadf8\ub9bc\uc740 3\uac1c\uc758 \uc218\ub85c\uc640 2\uac1c\uc758 \uc2a4\uc704\uce58\uac00 \uc788\ub294 \uc608\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc2a4\uc704\uce58\ub294 \ub2e4\uc74c \ub450 \uac00\uc9c0 \ubc29\ubc95 \uc911\uc758 \ud55c \ubc29\ubc95\uc73c\ub85c \ubb38\uc744 \uc791\ub3d9 \uc2dc\ud0a8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc2a4\uc704\uce58\uac00 \ucf1c\uc838\uc788\uc73c\uba74, \ubb38\uc774 \uc5f4\ub824\uc788\uace0, \uc2a4\uc704\uce58\uac00 \uaebc\uc838\uc788\uc73c\uba74, \ubb38\uc774 \ub2eb\ud600\uc788\ub2e4.<\/li>\r\n\t<li>\uc2a4\uc704\uce58\uac00 \ucf1c\uc838\uc788\uc73c\uba74, \ubb38\uc774 \ub2eb\ud600\uc788\uace0, \uc2a4\uc704\uce58\uac00 \uaebc\uc838\uc788\uc73c\uba74, \ubb38\uc774 \uc5f4\ub824\uc788\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: left;\">\uc2b9\ud658\uc774\ub294 \uc2a4\uc704\uce58\ub97c \uac00\uc9c0\uace0 \uc870\uae08 \ub180\ub2e4\uac00, \uc9c0\uae08\uae4c\uc9c0 \uc218\uc2ed\ub144\uac04 \uc77c\ud574\uc628 \ud504\ub85c\uadf8\ub798\ubc0d \uc2a4\ud0ac\uc744 \uc5ec\uae30\uc5d0 \uc801\uc6a9\uc2dc\ud0ac \uc218 \uc788\ub2e4\ub294 \uc0ac\uc2e4\uc744 \uc54c\uc558\ub2e4. \ubb38\uacfc \uc2a4\uc704\uce58\uac04\uc758 \uc5f0\uacb0 \uc124\uc815\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ubaa8\ub4e0 \uc218\ub85c\ub97c \ub2eb\ub294 \uac83\uc774 \uac00\ub2a5\ud55c\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ub9cc\uc57d, \uac00\ub2a5\ud558\ub2e4\uba74, \uac01 \uc2a4\uc704\uce58\uac00 \ucf1c\uc838\uc57c\ud558\ub294\uc9c0, \uaebc\uc838\uc57c\ud558\ub294\uc9c0, \uc0c1\ud0dc\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc218\ub85c\uc758 \uac1c\uc218 N (1 &le; N &le; 250,000)\uacfc \uc2a4\uc704\uce58\uc758 \uac1c\uc218 M (1 &le; M &le; 500,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub458\uc9f8 \uc904\ubd80\ud130 N\uac1c\uc758 \uc904\uc5d0 \uac01 \uc218\ub85c\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc218\ub85c\uc758 \uc815\ubcf4\ub294 4\uac1c\uc758 \uc22b\uc790\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, a, s<sub>a<\/sub>, b, s<sub>b<\/sub>\ub77c\uace0 \ud55c\ub2e4. a\uc640 b (1 &le; a, b &le; m)\uc740 \uc5f0\uacb0\ub418\uc5b4 \ubb38\uc744 \uc791\ub3d9\uc2dc\ud0a4\ub294 \uc2a4\uc704\uce58\uc774\ub2e4. s<sub>a<\/sub>\uc640 s<sub>b<\/sub>\ub294 0\uacfc 1 \uc911\uc758 \ud558\ub098\uc774\ub2e4. s<sub>i<\/sub>\uac00 0\uc774\uba74, \uc2a4\uc704\uce58 i\uac00 \uaebc\uc838\uc57c \ubb38\uc774 \ub2eb\ud788\ub294 \uac83\uc774\uace0, s<sub>i<\/sub>\uac00 1\uc774\uba74, \uc2a4\uc704\uce58 i\uac00 \ucf1c\uc838\uc57c \ubb38\uc774 \ub2eb\ud788\ub294 \uac83\uc774\ub2e4.<\/p>\r\n","output":"<p>\ubaa8\ub4e0 \uc218\ub85c\ub97c \ub2eb\ub294 \uac83\uc774 \uac00\ub2a5\ud558\uba74, m\uac1c\uc758 \uc904\uc5d0, \uac01 \uc2a4\uc704\uce58\uac00 \uaebc\uc838\uc57c \ud558\uba74 0\uc744, \ucf1c\uc838\uc57c \ud558\uba74 1\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc788\uc73c\uba74, \uc544\ubb34\uac70\ub098 \ucd9c\ub825\ud574\ub3c4 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc218\ub85c\ub97c \ub2eb\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74, IMPOSSIBLE\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2416","problem_lang":"1","title":"Gates","description":"<p>After many years of working as a software developer you have decided to try something entirely di\ufb00erent, and started looking at random job o\ufb00ers. The one that really caught your eye was a job in \ufb01sh farming (a form of aquaculture). &rsquo;Cool!&rsquo;, you thought, and besides, \ufb01sh are nice creatures. So you applied, got accepted, and today is your \ufb01rst day at work.<\/p>\r\n\r\n<p>Your boss has already assigned you a task. You have to isolate one water reservoir from another. After looking at some schemes you&rsquo;ve been given, here&rsquo;s what you&rsquo;ve \ufb01gured out.<\/p>\r\n\r\n<p>The two water reservoirs are connected by several channels. Each channel has two gates. The channel is open when both gates are open, and is closed otherwise. The gates are controlled using switches. The same switch may operate several gates, but each gate is operated by exactly one switch. It is possible that both gates on a channel are controlled by the same switch and that a switch controls no gates.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/68a291c8-d55b-462e-8358-dd7d0ddf0fe0\/-\/preview\/\" style=\"width: 168px; height: 256px;\" \/><\/p>\r\n\r\n<p>The switch may operate the gate in one of two ways:<\/p>\r\n\r\n<ul>\r\n\t<li>the gate is open when the switch is on, and is closed when the switch is o\ufb00,<\/li>\r\n\t<li>the gate is closed when the switch is on, and is open when the switch is o\ufb00.<\/li>\r\n<\/ul>\r\n\r\n<p>After playing a bit with the switches you suddenly realize that your programming experience will come in very handy. Write a program that, given the con\ufb01guration of gates and switches, determines whether it is possible to close all channels, and if it is, then \ufb01nds a state of every switch in one such valid con\ufb01guration.<\/p>\r\n","input":"<p>The \ufb01rst line of the standard input contains two integers n ( 1 &le; n &le; 250 000) and m ( 1 &le; m &le; 500 000), the number of channels and switches respectively. Switches are numbered from 1 to m. Additionally, in test cases worth at least 30% points, n will not exceed 40 and m will not exceed 20 .<\/p>\r\n\r\n<p>The following n lines describe channels, each channel is described by a separate line containing four integers: a, s<sub>a<\/sub>, b, s<sub>b<\/sub>. Numbers a and b represent switches (1 &le; a, b &le; m) that operate gates of this channel. Numbers s<sub>a<\/sub> and s<sub>b<\/sub> can be either 0 or 1 and correspond to the described operation modes: s<sub>i<\/sub> = 0 means that the gate is closed if and only if the switch i is o\ufb00 and s<sub>i<\/sub> = 1 means that the gate is closed if and only if the switch i is on.<\/p>\r\n","output":"<p>If it is possible to close all the channels, the standard output should contain m lines. Line i should contain 0 , if switch i should be o\ufb00, and 1 if switch i should be on. If there are many possible solutions, your program may output any of them.<\/p>\r\n\r\n<p>If it is impossible to close all channels, your program should output one line, containing a single word IMPOSSIBLE.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > Baltic Olympiad in Informatics > BOI 2008 2번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: leejseo
  • 잘못된 데이터를 찾은 사람: WeissBlume