문제
우진이와 연두는 별자리를 좋아한다. 둘의 취향은 약간 다른데, 우진이는 직선을 좋아하고 연두는 원을 좋아한다. 준원이는 둘을 위해 별자리가 그려진 그림을 선물하려고 한다.
준원이는 먼저 종이 위에 $N$개의 별을 그렸다. 그 뒤 두 별을 잇는 $M$개의 간선을 그렸다. 준원이는 이제 마지막 작업으로 두께가 $K$ 이상인 모든 간선만을 강조할 예정이다. $K$는 간선의 두께 중에서 고른다.
준원이는 우진이와 연두 모두와 친하기 때문에 강조된 간선으로만 이루어진 그림에서 직선과 원의 개수 차이를 최소로 하려고 한다.
- 별자리의 별 개수를 $V$라 할 때 별의 번호를 1ドル$부터 $V$까지 적절히 재배열해 $i$번 별과 $i+1$번 별을 잇는 간선들만 존재한다면 그 별자리는 직선이라고 부른다. (단, $V \geq 2,ドル 1ドル \leq i \leq V-1$)
- 별자리의 별 개수를 $V$라 할 때 별의 번호를 1ドル$부터 $V$까지 적절히 재배열해 1ドル$번 별과 $V$번 별을 잇는 간선, $i$번 별과 $i+1$번 별을 잇는 간선들만 존재한다면 그 별자리는 원이라고 부른다. (단, $V \geq 3,ドル 1ドル \leq i \leq V-1$)
- 별자리란 별의 집합이며, 집합 내의 모든 쌍의 별이 간선으로 이루어진 경로로 연결되어 있고, 집합 밖의 별과 집합 내의 별이 연결되어 있지 않은 것이다.
직선의 개수와 원의 개수 차이를 최소로 하는 $K$가 여러 가지라면 준원이는 그중 가장 작은 값을 택할 것이다. 많은 간선이 강조된 그림일수록 아름답기 때문이다.
준원이가 택할 $K$의 값과 그때 직선과 원의 개수 차이를 구해주자.
출력
준원이가 택할 $K$의 값과 그때 직선과 원의 개수 차이를 공백으로 구분하여 출력한다.
제한
- 주어지는 모든 수는 정수이다.
- 2ドル \leq N \leq 100 \space 000$
- 1ドル \leq M \leq 300 \space 000$
- 1ドル \leq X, Y \leq N,ドル $X \neq Y$
- 1ドル \leq W \leq 10^{9}$
- 같은 쌍의 별을 연결하는 서로 다른 두 간선은 없다.
서브태스크
| 번호 | 배점 | 제한 | | 1 | 30 | 모든 간선의 두께는 1ドル$이다.
|
| 2 | 70 | 추가 제약 조건이 없음.
|
[{"problem_id":"29894","problem_lang":"0","title":"\ubcc4\uc790\ub9ac","description":"<p>\uc6b0\uc9c4\uc774\uc640 \uc5f0\ub450\ub294 \ubcc4\uc790\ub9ac\ub97c \uc88b\uc544\ud55c\ub2e4. \ub458\uc758 \ucde8\ud5a5\uc740 \uc57d\uac04 \ub2e4\ub978\ub370, \uc6b0\uc9c4\uc774\ub294 <strong>\uc9c1\uc120<\/strong>\uc744 \uc88b\uc544\ud558\uace0 \uc5f0\ub450\ub294 <strong>\uc6d0<\/strong>\uc744 \uc88b\uc544\ud55c\ub2e4. \uc900\uc6d0\uc774\ub294 \ub458\uc744 \uc704\ud574 \ubcc4\uc790\ub9ac\uac00 \uadf8\ub824\uc9c4 \uadf8\ub9bc\uc744 \uc120\ubb3c\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc900\uc6d0\uc774\ub294 \uba3c\uc800 \uc885\uc774 \uc704\uc5d0 $N$\uac1c\uc758 \ubcc4\uc744 \uadf8\ub838\ub2e4. \uadf8 \ub4a4 \ub450 \ubcc4\uc744 \uc787\ub294 $M$\uac1c\uc758 \uac04\uc120\uc744 \uadf8\ub838\ub2e4. \uc900\uc6d0\uc774\ub294 \uc774\uc81c \ub9c8\uc9c0\ub9c9 \uc791\uc5c5\uc73c\ub85c \ub450\uaed8\uac00 $K$ \uc774\uc0c1\uc778 \ubaa8\ub4e0 \uac04\uc120\ub9cc\uc744 \uac15\uc870\ud560 \uc608\uc815\uc774\ub2e4. <strong>$K$\ub294 \uac04\uc120\uc758 \ub450\uaed8 \uc911\uc5d0\uc11c \uace0\ub978\ub2e4.<\/strong><\/p>\r\n\r\n<p>\uc900\uc6d0\uc774\ub294 \uc6b0\uc9c4\uc774\uc640 \uc5f0\ub450 \ubaa8\ub450\uc640 \uce5c\ud558\uae30 \ub54c\ubb38\uc5d0 \uac15\uc870\ub41c \uac04\uc120\uc73c\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc9c4 \uadf8\ub9bc\uc5d0\uc11c <strong>\uc9c1\uc120<\/strong>\uacfc <strong>\uc6d0<\/strong>\uc758 \uac1c\uc218 \ucc28\uc774\ub97c \ucd5c\uc18c\ub85c \ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ubcc4\uc790\ub9ac\uc758 \ubcc4 \uac1c\uc218\ub97c $V$\ub77c \ud560 \ub54c \ubcc4\uc758 \ubc88\ud638\ub97c $1$\ubd80\ud130 $V$\uae4c\uc9c0 \uc801\uc808\ud788 \uc7ac\ubc30\uc5f4\ud574 $i$\ubc88 \ubcc4\uacfc $i+1$\ubc88 \ubcc4\uc744 \uc787\ub294 \uac04\uc120\ub4e4\ub9cc \uc874\uc7ac\ud55c\ub2e4\uba74 \uadf8 \ubcc4\uc790\ub9ac\ub294 <strong>\uc9c1\uc120<\/strong>\uc774\ub77c\uace0 \ubd80\ub978\ub2e4. (\ub2e8, $V \\geq 2$, $1 \\leq i \\leq V-1$)<\/li>\r\n\t<li>\ubcc4\uc790\ub9ac\uc758 \ubcc4 \uac1c\uc218\ub97c $V$\ub77c \ud560 \ub54c \ubcc4\uc758 \ubc88\ud638\ub97c $1$\ubd80\ud130 $V$\uae4c\uc9c0 \uc801\uc808\ud788 \uc7ac\ubc30\uc5f4\ud574 $1$\ubc88 \ubcc4\uacfc $V$\ubc88 \ubcc4\uc744 \uc787\ub294 \uac04\uc120, $i$\ubc88 \ubcc4\uacfc $i+1$\ubc88 \ubcc4\uc744 \uc787\ub294 \uac04\uc120\ub4e4\ub9cc \uc874\uc7ac\ud55c\ub2e4\uba74 \uadf8 \ubcc4\uc790\ub9ac\ub294 <strong>\uc6d0<\/strong>\uc774\ub77c\uace0 \ubd80\ub978\ub2e4. (\ub2e8, $V \\geq 3$, $1 \\leq i \\leq V-1$)<\/li>\r\n\t<li>\ubcc4\uc790\ub9ac\ub780 \ubcc4\uc758 \uc9d1\ud569\uc774\uba70, \uc9d1\ud569 \ub0b4\uc758 \ubaa8\ub4e0 \uc30d\uc758 \ubcc4\uc774 \uac04\uc120\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uacbd\ub85c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\uace0, \uc9d1\ud569 \ubc16\uc758 \ubcc4\uacfc \uc9d1\ud569 \ub0b4\uc758 \ubcc4\uc774 \uc5f0\uacb0\ub418\uc5b4 \uc788\uc9c0 \uc54a\uc740 \uac83\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p><strong>\uc9c1\uc120<\/strong>\uc758 \uac1c\uc218\uc640 <strong>\uc6d0<\/strong>\uc758 \uac1c\uc218 \ucc28\uc774\ub97c \ucd5c\uc18c\ub85c \ud558\ub294 $K$\uac00 \uc5ec\ub7ec \uac00\uc9c0\ub77c\uba74 \uc900\uc6d0\uc774\ub294 \uadf8\uc911 \uac00\uc7a5 \uc791\uc740 \uac12\uc744 \ud0dd\ud560 \uac83\uc774\ub2e4. \ub9ce\uc740 \uac04\uc120\uc774 \uac15\uc870\ub41c \uadf8\ub9bc\uc77c\uc218\ub85d \uc544\ub984\ub2f5\uae30 \ub54c\ubb38\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc900\uc6d0\uc774\uac00 \ud0dd\ud560 $K$\uc758 \uac12\uacfc \uadf8\ub54c <strong>\uc9c1\uc120<\/strong>\uacfc <strong>\uc6d0<\/strong>\uc758 \uac1c\uc218 \ucc28\uc774\ub97c \uad6c\ud574\uc8fc\uc790.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ubcc4\uc758 \uac1c\uc218 $N$, \uac04\uc120\uc758 \uac1c\uc218 $M$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc774\ud6c4 $M$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \uac04\uc120\ub4e4\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. <\/p>\r\n\r\n<p>\uac01 \uc904\uc5d0\ub294 \uc138 \uac1c\uc758 \uc815\uc218 $X$, $Y$, $W$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c0\uba70, \uc774\ub294 $X$\ubc88 \ubcc4\uacfc $Y$\ubc88 \ubcc4\uc744 \uc5f0\uacb0\ud558\ub294 \ub450\uaed8 $W$\uc758 \uac04\uc120\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n","output":"<p>\uc900\uc6d0\uc774\uac00 \ud0dd\ud560 $K$\uc758 \uac12\uacfc \uadf8\ub54c <strong>\uc9c1\uc120<\/strong>\uacfc <strong>\uc6d0<\/strong>\uc758 \uac1c\uc218 \ucc28\uc774\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>\uc8fc\uc5b4\uc9c0\ub294 \ubaa8\ub4e0 \uc218\ub294 \uc815\uc218\uc774\ub2e4.<\/li>\r\n\t<li>$2 \\leq N \\leq 100 \\space 000$<\/li>\r\n\t<li>$1 \\leq M \\leq 300 \\space 000$<\/li>\r\n\t<li>$1 \\leq X, Y \\leq N$, $X \\neq Y$<\/li>\r\n\t<li>$1 \\leq W \\leq 10^{9}$<\/li>\r\n\t<li>\uac19\uc740 \uc30d\uc758 \ubcc4\uc744 \uc5f0\uacb0\ud558\ub294 \uc11c\ub85c \ub2e4\ub978 \ub450 \uac04\uc120\uc740 \uc5c6\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>\ubaa8\ub4e0 \uac04\uc120\uc758 \ub450\uaed8\ub294 $1$\uc774\ub2e4.<\/p>\r\n","subtask2":"<p>\ucd94\uac00 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\uc74c.<\/p>\r\n"},{"problem_id":"29894","problem_lang":"1","title":"Constellation","description":"<p>Bob and Alice like constellations. Their preferences differ as Bob likes <strong>lines<\/strong>&nbsp;whereas Alice likes <strong>circles<\/strong>. Chris wants to give them some constellation drawings as gift.<\/p>\r\n\r\n<p>First, Chris would draw $N$ stars on a piece of paper. He would then draw $M$ edges each connecting a pair of stars. As a last step, Chris would highlight only&nbsp;the edges whose thickness is $K$ or more. <strong>$K$ shall be chosen from the thickness of an existing edge.<\/strong><\/p>\r\n\r\n<p>Since Chris is friends with both Bob and Alice, Chris wants to minimize the difference between the number of <strong>lines<\/strong> and the number of&nbsp;<strong>circles<\/strong>&nbsp;that are made out of&nbsp;highlighted edges.<\/p>\r\n\r\n<ul>\r\n\t<li>If $V$ is the number of stars in a constellation, we say that the constellation is a <strong>line<\/strong>&nbsp;if there is a way to re-arrange the stars&#39; labels from $1$ to $V$ such that only the edges that connect stars $i$ and $i+1$ exist. (Where$V \\geq 2$, $1 \\leq i \\leq V-1$)<\/li>\r\n\t<li>If $V$ is the number of stars in a constellation, we say that the constellation is a <strong>circle<\/strong> if there is a way to re-arrange the stars&#39; labels from $1$ to $V$ such that only the edges that connect&nbsp;stars $1$ and $V$ or stars $i$ and $i+1$ exist. (Where $V \\geq 3$, $1 \\leq i \\leq V-1$).<\/li>\r\n\t<li>A constellation is defined as&nbsp;a set of stars where every pair of stars in the set are connected by a path of edges and no star in the set is connected to a star that is not in the set.<\/li>\r\n<\/ul>\r\n\r\n<p>If there exist multiple $K$&#39;s that minimize the difference between the number of lines and the number of circles, then Chris would choose the smallest such $K$ as the more highlighted edges highlighted,&nbsp;the more beautiful a constellation drawing.<\/p>\r\n\r\n<p>Let&#39;s find $K$ that Chris will choose along with the resulting&nbsp;difference between the number of lines and the number of circles.<\/p>\r\n","input":"<p>The first line of input will contain the number of stars, $N$, and the number of edges, $M$, separated by whitespace.<\/p>\r\n\r\n<p>The following $M$ lines will describe the edges.<\/p>\r\n\r\n<p>Each line will contain three integers $X$, $Y$, and $W$ separated by whitespace which describe an edge that connects $X$ and $Y$ with thickness of $W$.<\/p>\r\n","output":"<p>Output $K$ that Chris will choose and the difference between the number of <strong>lines<\/strong> and the number of <strong>circles<\/strong> with the chosen $K$, separated by whitespace.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>All numbers given in input will be integers.<\/li>\r\n\t<li>$2 \\leq N \\leq 100 \\space 000$<\/li>\r\n\t<li>$1 \\leq M \\leq 300 \\space 000$<\/li>\r\n\t<li>$1 \\leq X, Y \\leq N$, $X \\neq Y$<\/li>\r\n\t<li>$1 \\leq W \\leq 10^{9}$<\/li>\r\n\t<li>No two edges will connect the same pair of stars.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>All edges&#39; thickness will be $1$.<\/p>\r\n","subtask2":"<p>No additional restrictions on input.<\/p>\r\n"}]