문제
SAT 문제는 아래와 같이 정의된다.
- CNF가 주어졌을 때, 이 CNF가 참이 되도록 논리 변수들에 참과 거짓을 적절히 배정할 수 있는지 판별하는 문제를 SAT 문제라고 한다.
이때, CNF는 아래와 같이 정의된다.
- 하나 이상의 절이 $\wedge$ (Logical AND)로 연결된 논리식을 CNF라고 한다.
이때, 절은 아래와 같이 정의된다.
- 하나 이상의, 논리 변수 또는 논리 변수의 $\neg$ (Logical NOT)이 $\vee$ (Logical OR)로 연결된 논리식을 절이라고 한다.
예를 들면, $(x_1\vee x_2\vee\neg x_3)$와 $(x_2\vee\neg x_4\vee\neg x_2\vee\neg x_4)$은 절이다.
그리고, 위 두 절을 이은 $(x_1\vee x_2\vee\neg x_3)\wedge(x_2\vee\neg x_4\vee\neg x_2\vee\neg x_4)$는 CNF이다.
마지막으로, 이 CNF에 사용된 논리 변수 $x_1,x_2,x_3,x_4$에 참과 거짓을 적절히 배정해서 CNF의 결과를 참으로 만드는 문제는 SAT 문제가 된다.
하지만 이 문제는 SAT 문제가 아니다. 그러니, 이 문제에서는 CNF의 결과를 참으로 만드는 대신, CNF의 결과를 거짓으로 만들어야 한다!
출력
첫째 줄에 CNF의 결과를 거짓으로 만들 수 있다면 YES를, 아니면 NO를 출력한다.
만약 CNF의 결과를 거짓으로 만들 수 있다면, 둘째 줄에 CNF의 값을 거짓으로 만드는 $x_1,x_2,\ldots ,x_N$의 값을 공백으로 구분하여 출력한다. $x_i$가 참이라면 1ドル$을, $x_i$가 거짓이라면 0ドル$을 출력한다.
만약 CNF의 결과를 거짓으로 만들 수 있는 경우가 여러 가지인 경우, 그중 아무거나 하나를 출력한다.
문제로 주어진 CNF는 $(x_1 \vee x_2 \vee \neg x_3) \wedge (x_2 \vee \neg x_4 \vee \neg x_2 \vee \neg x_4)$이다. $x_1, x_2, x_4$를 거짓으로, $x_3$을 참으로 설정하면 CNF가 거짓이 된다.
문제로 주어진 CNF는 $(x_1 \vee \neg x_1)$이다. $x_1$를 어떻게 설정해도 CNF가 참이 되므로 NO를 출력해야 한다.
[{"problem_id":"30866","problem_lang":"0","title":"NOT a SAT problem","description":"<p>SAT \ubb38\uc81c\ub294 \uc544\ub798\uc640 \uac19\uc774 \uc815\uc758\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>CNF\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774 CNF\uac00 \ucc38\uc774 \ub418\ub3c4\ub85d \ub17c\ub9ac \ubcc0\uc218\ub4e4\uc5d0 \ucc38\uacfc \uac70\uc9d3\uc744 \uc801\uc808\ud788 \ubc30\uc815\ud560 \uc218 \uc788\ub294\uc9c0 \ud310\ubcc4\ud558\ub294 \ubb38\uc81c\ub97c <strong>SAT \ubb38\uc81c<\/strong>\ub77c\uace0 \ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774\ub54c, CNF\ub294 \uc544\ub798\uc640 \uac19\uc774 \uc815\uc758\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud558\ub098 \uc774\uc0c1\uc758 \uc808\uc774 $\\wedge$ (Logical AND)\ub85c \uc5f0\uacb0\ub41c \ub17c\ub9ac\uc2dd\uc744 <strong>CNF<\/strong>\ub77c\uace0 \ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774\ub54c, \uc808\uc740 \uc544\ub798\uc640 \uac19\uc774 \uc815\uc758\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud558\ub098 \uc774\uc0c1\uc758, \ub17c\ub9ac \ubcc0\uc218 \ub610\ub294 \ub17c\ub9ac \ubcc0\uc218\uc758 $\\neg$ (Logical NOT)\uc774 $\\vee$ (Logical OR)\ub85c \uc5f0\uacb0\ub41c \ub17c\ub9ac\uc2dd\uc744 <strong>\uc808<\/strong>\uc774\ub77c\uace0 \ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc608\ub97c \ub4e4\uba74, $(x_1\\vee x_2\\vee\\neg x_3)$\uc640 $(x_2\\vee\\neg x_4\\vee\\neg x_2\\vee\\neg x_4)$\uc740 \uc808\uc774\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub9ac\uace0, \uc704 \ub450 \uc808\uc744 \uc774\uc740 $(x_1\\vee x_2\\vee\\neg x_3)\\wedge(x_2\\vee\\neg x_4\\vee\\neg x_2\\vee\\neg x_4)$\ub294 CNF\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc774 CNF\uc5d0 \uc0ac\uc6a9\ub41c \ub17c\ub9ac \ubcc0\uc218 $x_1,x_2,x_3,x_4$\uc5d0 \ucc38\uacfc \uac70\uc9d3\uc744 \uc801\uc808\ud788 \ubc30\uc815\ud574\uc11c CNF\uc758 \uacb0\uacfc\ub97c \ucc38\uc73c\ub85c \ub9cc\ub4dc\ub294 \ubb38\uc81c\ub294 SAT \ubb38\uc81c\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc \uc774 \ubb38\uc81c\ub294 SAT \ubb38\uc81c\uac00 \uc544\ub2c8\ub2e4. \uadf8\ub7ec\ub2c8, \uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 CNF\uc758 \uacb0\uacfc\ub97c \ucc38\uc73c\ub85c \ub9cc\ub4dc\ub294 \ub300\uc2e0, CNF\uc758 \uacb0\uacfc\ub97c \uac70\uc9d3\uc73c\ub85c \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4!<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 \uc0ac\uc6a9\ub418\ub294 \ub17c\ub9ac \ubcc0\uc218\uc758 \uac1c\uc218 $N$\uacfc CNF\uc5d0 \uc788\ub294 \uc808\uc758 \uac1c\uc218 $M$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\le N\\le 500\\, 000;$ $1\\le M\\le 200\\, 000)$<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 $M$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0\uc11c, \uc808\uc758 \uc815\ubcf4\uac00 \ub2e4\uc74c\uacfc \uac19\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \uc904\uc758 \uccab \ubc88\uc9f8 \uc815\uc218\ub294 \uc808\uc5d0 \uc788\ub294 \ub17c\ub9ac \ubcc0\uc218\uc758 \uac1c\uc218 $k$\ub97c \uc758\ubbf8\ud558\uba70, \uc774\ud6c4 $k$\uac1c\uc758 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc5ec\uae30\uc11c \uc8fc\uc5b4\uc9c0\ub294 \uc815\uc218 $a$\ub294 \uc591\uc218\uc77c \uacbd\uc6b0 $x_a$\uac00 \uc808\uc5d0 \ub4e4\uc5b4\uc788\uc74c\uc744, \uc74c\uc218\uc77c \uacbd\uc6b0 $\\neg x_{\\lvert a\\rvert}$\uac00 \uc808\uc5d0 \ub4e4\uc5b4\uc788\uc74c\uc744 \uc758\ubbf8\ud55c\ub2e4. $(1\\le k\\le 200\\, 000;$ $1\\le\\lvert a\\rvert\\le N)$<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 $k$\uc758 \ud569\uc740 $500\\, 000$ \uc774\ud558\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 CNF\uc758 \uacb0\uacfc\ub97c \uac70\uc9d3\uc73c\ub85c \ub9cc\ub4e4 \uc218 \uc788\ub2e4\uba74 <span style=\"color:#e74c3c;\"><code>YES<\/code><\/span>\ub97c, \uc544\ub2c8\uba74 <span style=\"color:#e74c3c;\"><code>NO<\/code><\/span>\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d CNF\uc758 \uacb0\uacfc\ub97c \uac70\uc9d3\uc73c\ub85c \ub9cc\ub4e4 \uc218 \uc788\ub2e4\uba74, \ub458\uc9f8 \uc904\uc5d0 CNF\uc758 \uac12\uc744 \uac70\uc9d3\uc73c\ub85c \ub9cc\ub4dc\ub294 $x_1,x_2,\\ldots ,x_N$\uc758 \uac12\uc744 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4. $x_i$\uac00 \ucc38\uc774\ub77c\uba74 $1$\uc744, $x_i$\uac00 \uac70\uc9d3\uc774\ub77c\uba74 $0$\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d CNF\uc758 \uacb0\uacfc\ub97c \uac70\uc9d3\uc73c\ub85c \ub9cc\ub4e4 \uc218 \uc788\ub294 \uacbd\uc6b0\uac00 \uc5ec\ub7ec \uac00\uc9c0\uc778 \uacbd\uc6b0, \uadf8\uc911 \uc544\ubb34\uac70\ub098 \ud558\ub098\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>\ubb38\uc81c\ub85c \uc8fc\uc5b4\uc9c4 CNF\ub294 $(x_1 \\vee x_2 \\vee \\neg x_3) \\wedge (x_2 \\vee \\neg x_4 \\vee \\neg x_2 \\vee \\neg x_4)$\uc774\ub2e4. $x_1, x_2, x_4$\ub97c \uac70\uc9d3\uc73c\ub85c, $x_3$\uc744 \ucc38\uc73c\ub85c \uc124\uc815\ud558\uba74 CNF\uac00 \uac70\uc9d3\uc774 \ub41c\ub2e4.<\/p>\r\n","sample_explain_2":"<p>\ubb38\uc81c\ub85c \uc8fc\uc5b4\uc9c4 CNF\ub294 $(x_1 \\vee \\neg x_1)$\uc774\ub2e4. $x_1$\ub97c \uc5b4\ub5bb\uac8c \uc124\uc815\ud574\ub3c4 CNF\uac00 \ucc38\uc774 \ub418\ubbc0\ub85c <span style=\"color:#e74c3c;\"><code>NO<\/code><\/span>\ub97c \ucd9c\ub825\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n"},{"problem_id":"30866","problem_lang":"1","title":"NOT a SAT problem","description":"<p>SAT problems are defined as follows.<\/p>\r\n\r\n<ul>\r\n\t<li>Given a CNF, the problem of determining whether it is possible to assign suitable values to boolean variables to make the CNF true is called a <strong>SAT problem<\/strong>.<\/li>\r\n<\/ul>\r\n\r\n<p>Here, CNF is defined as follows.<\/p>\r\n\r\n<ul>\r\n\t<li>A boolean expression formed by connecting one or more Clauses with $\\wedge$ (Logical AND) is called a <strong>CNF<\/strong>.<\/li>\r\n<\/ul>\r\n\r\n<p>Here, a Clause is defined as follows.<\/p>\r\n\r\n<ul>\r\n\t<li>A boolean expression formed by connecting one or more logical variables or their $\\neg$ (Logical NOT) with $\\vee$ (Logical OR) is called a <strong>Clause<\/strong>.<\/li>\r\n<\/ul>\r\n\r\n<p>For example, $(x_1\\vee x_2\\vee\\neg x_3)$ or $(x_2\\vee\\neg x_4\\vee\\neg x_2\\vee\\neg x_4)$ is a Clause.<\/p>\r\n\r\n<p>The expression formed by connecting the two Clauses above like $(x_1\\vee x_2\\vee\\neg x_3)\\wedge(x_2\\vee\\neg x_4\\vee\\neg x_2\\vee\\neg x_4)$ is a CNF.<\/p>\r\n\r\n<p>Finally, the problem of assigning suitable values to $x_1,x_2,x_3,x_4$, the boolean variables in the CNF, in order to make the CNF true is called a SAT problem.<\/p>\r\n\r\n<p>However, this problem is not a SAT problem. In this problem, instead of making the CNF true, the goal is to make the CNF false!<\/p>\r\n","input":"<p>The first line of input contains two space-separated integers $N$ and $M$, denoting the number of variables and the number of Clauses used in the CNF, respectively. $(1\\le N\\le 500\\, 000;$ $1\\le M\\le 200\\, 000)$<\/p>\r\n\r\n<p>Each of the next $M$ lines of input contains information about each Clause as follows.<\/p>\r\n\r\n<p>The first integer in each line is $k$, which denotes the number of variables in the Clause. $k$ space-separated integers follow. If the given integer $a$ is positive, it means $x_a$ is included in the Clause, and if the integer is negative, it means $\\neg x_{\\lvert a\\rvert}$ is in the Clause. $(1\\le k\\le 200\\, 000;$ $1\\le\\lvert a\\rvert\\le N)$<\/p>\r\n\r\n<p>The sum of all $k$ given in the input is less than or equal to $500\\, 000$.<\/p>\r\n","output":"<p>The first line of output should contain a single string denoting whether it is possible to make the CNF evaluate false. If it is, print <span style=\"color:#e74c3c;\"><code>YES<\/code><\/span>, else print <span style=\"color:#e74c3c;\"><code>NO<\/code><\/span>.<\/p>\r\n\r\n<p>If it is possible to make the CNF false, the second line of output should contain suitable values of $x_1,x_2,\\ldots ,x_N$ separated by space. If $x_i$ is true print $1$, if $x_i$ is false print $0$.<\/p>\r\n\r\n<p>If there are multiple ways to make the CNF false, print any one of them.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>The given CNF is $(x_1 \\vee x_2 \\vee \\neg x_3) \\wedge (x_2 \\vee \\neg x_4 \\vee \\neg x_2 \\vee \\neg x_4)$. If $x_1, x_2, x_4$ are set to false and $x_3$ is set to true, the CNF becomes false.<\/p>\r\n","sample_explain_2":"<p>The given CNF is $(x_1 \\vee \\neg x_1)$. Since the CNF becomes true no matter how $x_1$ is set, <span style=\"color:#e74c3c;\"><code>NO<\/code><\/span> should be printed.<\/p>\r\n"}]