시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

어떤 나라에서는 (뭔 나라인지는 기억이 안 나지만), 후보 {1, 2 ... N}이 나와서 국회의원 선거를 치루고 있다. 여론조사에서는 사람들마다 "만약 두 후보 i, j에 대해서, 그 두 후보의 선거 결과가 어떻게 나오면 행복할 것 같으세요?" 라고 물어봤다. 이 질문에 대한 가능한 답변은 밑의 표에 나와있고, i와 j가 동일할 수도 있다.

우리는 M개의 가능한 답변의 리스트를 가지고 있고, 이 M개의 답변 중 비슷하거나 동일한 것이 있을 수도 있다. 만약에 이 M개의 답변을 동시에 만족하는 선거 결과가 있다면, 이 선거 결과를 완벽하다고 한다. (다만, 후보 {1, 2 ... N}이 모두 당선되거나 모두 낙선될 수도 있고, 이 중 일부만 당선될 수도 있다!)

우리가 할 일은 M개의 답변에 대해서 완벽한 선거 결과가 있으면 1을, 아니면 0을 출력하는 것이다.

아래의 표는 설문조사의 결과가 어떻게 들어오는 지를 알려준다.

여론조사에서 가능한 답변 입력 양식
나는 i와 j 둘 중 한 명은 당선되었으면 좋겠어. +i +j
난 i랑 j 둘 중 한 명은 떨어졌으면 좋겠어. -i -j
난 i가 붙거나 j가 떨어지거나, 둘 다 만족했음 좋겠어. +i -j
난 j가 붙거나 i가 떨어지거나, 둘 다 만족했음 좋겠어. -i +j

입력

각 테스트 케이스는 두 수 N과 M을 입력받으며 시작한다. (1≤N≤1000, 1≤M≤1000000) 그리고 이어서 M개의 순서쌍 ±i ±j 가 주어진다. (1≤i,j≤N) 각 순서쌍은 위의 표대로 해석하면 된다.

각 입력 값들은 공백으로 구분되며, 입력의 끝에는 EOF(End of File)가 주어진다.

출력

각 테스트 케이스에 대해서 완벽한 선거 결과가 존재하는지 출력한다. 선거 결과는 매 줄마다 하나씩 출력하며, 출력하는 중간에 빈 줄이 존재해서는 안 된다.

입출력 예시는 아래와 같다.

예제 입력 1

3 3  +1 +2  -1 +2  -1 -3
2 3  -1 +2  -1 -2  +1 -2
2 4  -1 +2  -1 -2  +1 -2  +1 +2
2 8  +1 +2  +2 +1  +1 -2  +1 -2  -2 +1  -1 +1  -2 -2  +1 -1

예제 출력 1

1
1
0
1

힌트

첫 테스트 케이스의 결과는 1이다. 가능한 완벽한 선거 결과는 여러 가지가 있는데, 2만 당선되는 경우를 생각할 수 있다.

두 번째 테스트 케이스의 결과 또한 1이다. 이 경우에는 1과 2 모두 당선되면 안 된다.

세 번째 테스트 케이스의 결과는 0인데, -1 +2와 -1 -2에 따르면 1은 당선되면 안 되지만 +1 -2와 +1 +2에 따르면 1은 당선되어야하기 때문이다.

네 번째 테스트 케이스는 비슷하거나 동일한 답변이 섞여있는데, 답은 1이다.

[{"problem_id":"3747","problem_lang":"0","title":"\uc644\ubcbd\ud55c \uc120\uac70!","description":"<p>\uc5b4\ub5a4 \ub098\ub77c\uc5d0\uc11c\ub294 (\ubb54 \ub098\ub77c\uc778\uc9c0\ub294 \uae30\uc5b5\uc774 \uc548 \ub098\uc9c0\ub9cc), \ud6c4\ubcf4 {1, 2 ... N}\uc774 \ub098\uc640\uc11c \uad6d\ud68c\uc758\uc6d0 \uc120\uac70\ub97c \uce58\ub8e8\uace0 \uc788\ub2e4. \uc5ec\ub860\uc870\uc0ac\uc5d0\uc11c\ub294 \uc0ac\ub78c\ub4e4\ub9c8\ub2e4 &quot;\ub9cc\uc57d \ub450 \ud6c4\ubcf4 i, j\uc5d0 \ub300\ud574\uc11c,&nbsp;\uadf8 \ub450 \ud6c4\ubcf4\uc758 \uc120\uac70 \uacb0\uacfc\uac00 \uc5b4\ub5bb\uac8c \ub098\uc624\uba74&nbsp;\ud589\ubcf5\ud560 \uac83 \uac19\uc73c\uc138\uc694?&quot; \ub77c\uace0 \ubb3c\uc5b4\ubd24\ub2e4. \uc774 \uc9c8\ubb38\uc5d0 \ub300\ud55c \uac00\ub2a5\ud55c&nbsp;\ub2f5\ubcc0\uc740 \ubc11\uc758 \ud45c\uc5d0 \ub098\uc640\uc788\uace0, i\uc640 j\uac00&nbsp;\ub3d9\uc77c\ud560 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc6b0\ub9ac\ub294 M\uac1c\uc758 \uac00\ub2a5\ud55c \ub2f5\ubcc0\uc758 \ub9ac\uc2a4\ud2b8\ub97c \uac00\uc9c0\uace0 \uc788\uace0, \uc774 M\uac1c\uc758 \ub2f5\ubcc0 \uc911 \ube44\uc2b7\ud558\uac70\ub098 \ub3d9\uc77c\ud55c \uac83\uc774 \uc788\uc744 \uc218\ub3c4 \uc788\ub2e4. \ub9cc\uc57d\uc5d0 \uc774 M\uac1c\uc758 \ub2f5\ubcc0\uc744 \ub3d9\uc2dc\uc5d0 \ub9cc\uc871\ud558\ub294 \uc120\uac70 \uacb0\uacfc\uac00 \uc788\ub2e4\uba74, \uc774 \uc120\uac70 \uacb0\uacfc\ub97c \uc644\ubcbd\ud558\ub2e4\uace0 \ud55c\ub2e4. (\ub2e4\ub9cc, \ud6c4\ubcf4 {1, 2 ... N}\uc774 \ubaa8\ub450 \ub2f9\uc120\ub418\uac70\ub098 \ubaa8\ub450 \ub099\uc120\ub420 \uc218\ub3c4 \uc788\uace0, \uc774 \uc911 \uc77c\ubd80\ub9cc \ub2f9\uc120\ub420 \uc218\ub3c4 \uc788\ub2e4!)<\/p>\r\n\r\n<p>\uc6b0\ub9ac\uac00 \ud560 \uc77c\uc740 M\uac1c\uc758 \ub2f5\ubcc0\uc5d0 \ub300\ud574\uc11c \uc644\ubcbd\ud55c \uc120\uac70 \uacb0\uacfc\uac00 \uc788\uc73c\uba74 1\uc744, \uc544\ub2c8\uba74 0\uc744 \ucd9c\ub825\ud558\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798\uc758 \ud45c\ub294 \uc124\ubb38\uc870\uc0ac\uc758 \uacb0\uacfc\uac00 \uc5b4\ub5bb\uac8c \ub4e4\uc5b4\uc624\ub294 \uc9c0\ub97c \uc54c\ub824\uc900\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td><strong>\uc5ec\ub860\uc870\uc0ac\uc5d0\uc11c \uac00\ub2a5\ud55c \ub2f5\ubcc0<\/strong><\/td>\r\n\t\t\t<td><strong>\uc785\ub825 \uc591\uc2dd<\/strong><\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\ub098\ub294 i\uc640 j \ub458 \uc911 \ud55c \uba85\uc740 \ub2f9\uc120\ub418\uc5c8\uc73c\uba74 \uc88b\uaca0\uc5b4.<\/td>\r\n\t\t\t<td>+i +j<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\ub09c i\ub791 j \ub458 \uc911 \ud55c \uba85\uc740 \ub5a8\uc5b4\uc84c\uc73c\uba74 \uc88b\uaca0\uc5b4.<\/td>\r\n\t\t\t<td>-i -j<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\ub09c i\uac00 \ubd99\uac70\ub098 j\uac00 \ub5a8\uc5b4\uc9c0\uac70\ub098, \ub458 \ub2e4 \ub9cc\uc871\ud588\uc74c \uc88b\uaca0\uc5b4.<\/td>\r\n\t\t\t<td>+i -j<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\ub09c j\uac00 \ubd99\uac70\ub098 i\uac00 \ub5a8\uc5b4\uc9c0\uac70\ub098, \ub458 \ub2e4 \ub9cc\uc871\ud588\uc74c \uc88b\uaca0\uc5b4.<\/td>\r\n\t\t\t<td>-i +j<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n","input":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub450 \uc218 N\uacfc M\uc744 \uc785\ub825\ubc1b\uc73c\uba70 \uc2dc\uc791\ud55c\ub2e4.&nbsp;(1&le;N&le;1000,&nbsp;1&le;M&le;1000000) \uadf8\ub9ac\uace0 \uc774\uc5b4\uc11c M\uac1c\uc758 \uc21c\uc11c\uc30d&nbsp;&plusmn;i &plusmn;j \uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1&le;i,j&le;N) \uac01 \uc21c\uc11c\uc30d\uc740 \uc704\uc758 \ud45c\ub300\ub85c \ud574\uc11d\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \uc785\ub825 \uac12\ub4e4\uc740 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uba70, \uc785\ub825\uc758 \ub05d\uc5d0\ub294 EOF(End of File)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c \uc644\ubcbd\ud55c \uc120\uac70 \uacb0\uacfc\uac00 \uc874\uc7ac\ud558\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4. \uc120\uac70 \uacb0\uacfc\ub294 \ub9e4 \uc904\ub9c8\ub2e4 \ud558\ub098\uc529 \ucd9c\ub825\ud558\uba70, \ucd9c\ub825\ud558\ub294 \uc911\uac04\uc5d0 \ube48 \uc904\uc774 \uc874\uc7ac\ud574\uc11c\ub294 \uc548 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc785\ucd9c\ub825 \uc608\uc2dc\ub294 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n","hint":"<p>\uccab \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uacb0\uacfc\ub294 1\uc774\ub2e4. \uac00\ub2a5\ud55c \uc644\ubcbd\ud55c \uc120\uac70 \uacb0\uacfc\ub294 \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc788\ub294\ub370, 2\ub9cc \ub2f9\uc120\ub418\ub294 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uacb0\uacfc \ub610\ud55c 1\uc774\ub2e4. \uc774 \uacbd\uc6b0\uc5d0\ub294 1\uacfc 2 \ubaa8\ub450 \ub2f9\uc120\ub418\uba74 \uc548 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc138 \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uacb0\uacfc\ub294 0\uc778\ub370, -1 +2\uc640 -1 -2\uc5d0 \ub530\ub974\uba74 1\uc740 \ub2f9\uc120\ub418\uba74 \uc548 \ub418\uc9c0\ub9cc +1 -2\uc640 +1 +2\uc5d0 \ub530\ub974\uba74 1\uc740 \ub2f9\uc120\ub418\uc5b4\uc57c\ud558\uae30 \ub54c\ubb38\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub124 \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ube44\uc2b7\ud558\uac70\ub098 \ub3d9\uc77c\ud55c \ub2f5\ubcc0\uc774 \uc11e\uc5ec\uc788\ub294\ub370, \ub2f5\uc740 1\uc774\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3747","problem_lang":"1","title":"Perfect Election","description":"<p>In a country (my memory fails to say which), the candidates {1, 2 ... N} are running in the parliamentary election. An opinion poll asks the question &quot;For any two candidates of your own choice, which election result would make you happy?&quot;. The accepted answers are shown in the table below, where the candidates i and j are not necessarily different, i.e. it may happen that i=j. There are M poll answers, some of which may be similar or identical. The problem is to decide whether there can be an election outcome1 that conforms to all M answers. We say that such an election outcome is perfect. The result of the problem is 1 if a perfect election outcome does exist and 0 otherwise.<\/p>\r\n\r\n<p>Write a program that reads sets of data from an input text file.&nbsp;<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:65%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Accepted answers to the poll question<\/th>\r\n\t\t\t<th>Encoding<\/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>I would be happy if at least one from i and j is elected.<\/td>\r\n\t\t\t<td>+i +j<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>I would be happy if at least one from i and j is not elected.<\/td>\r\n\t\t\t<td>-i -j<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>I would be happy if i is elected or j is not elected or both events happen.<\/td>\r\n\t\t\t<td>+i -j<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>I would be happy if i is not elected or j is elected or both events happen.<\/td>\r\n\t\t\t<td>-i +j<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n","input":"<p>Each data set corresponds to an instance of the problem and starts with two integral numbers: 1&le;N&le;1000 and 1&le;M&le;1000000. The data set continues with M pairs &plusmn;i &plusmn;j of signed numbers, 1&le;i,j&le;N. Each pair encodes a poll answer as follows:&nbsp;<\/p>\r\n\r\n<p>The input data are separated by white spaces, terminate with an end of file, and are correct.&nbsp;<\/p>\r\n","output":"<p>For each data set the program prints the result of the encoded election problem. The result, 1 or 0, is printed on the standard output from the beginning of a line. There must be no empty lines on output. An example of input\/output is shown below.<\/p>\r\n","hint":"<p>For the first data set the result of the problem is 1; there are several perfect election outcomes, e.g. 1 is not elected, 2 is elected, 3 is not elected. The result for the second data set is justified by the perfect election outcome: 1 is not elected, 2 is not elected. The result for the third data set is 0. According to the answers -1 +2 and -1 -2 the candidate 1 must not be elected, whereas the answers +1 -2 and +1 +2 say that candidate 1 must be elected. There is no perfect election outcome. For the fourth data set notice that there are similar or identical poll answers and that some answers mention a single candidate. The result is 1.&nbsp;<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Europe > Southeastern European Regional Contest > SEERC 2008 C번

  • 문제의 오타를 찾은 사람: f52985
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