32152번 - 성호와 두산이 서브태스크다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 1024 MB256660.000%

문제

빨간색 구슬과 파란색 구슬이 각각 $N$개씩 있다. 성호와 두산이는 이 구슬을 가지고 게임을 한다. 먼저 게임을 시작하기 전에 구슬을 $N$개씩 나누어 가진다. 각자 나누어 가진 구슬을 정점으로 한 트리를 만들고, 루트가 될 구슬을 하나 정한다. 이 구슬이 1번이 된다.

게임은 성호부터 시작하며, 자신의 차례에는 다음과 같은 행동을 한다.

  • 자신의 트리에서 리프인 구슬을 하나 제거한다. 자신의 트리에 제거할 구슬이 없다면 게임을 종료한다.
  • 다음 차례는 제거한 구슬이 빨간색이라면 성호, 파란색이라면 두산이가 된다. 이 과정을 반복한다.

성호와 두산이가 만든 트리가 주어진다. 게임이 종료되었을 때 게임 전체에 남아 있는 구슬의 개수로 가능한 최솟값과 최댓값을 구하시오.

입력

첫 번째 줄에 자연수 $N$이 주어진다.

두 번째 줄에 성호가 가져간 $N$개의 구슬의 색깔을 나타내는 정수가 공백으로 구분되어 주어진다. $i$번째 정수는 $i$번 구슬의 색깔을 나타내며, $0$은 빨간색, $1$은 파란색 구슬임을 의미한다. ($1 \leq i \leq N$)

세 번째 줄부터 $N-1$개의 줄에 걸쳐 성호가 만든 트리의 간선이 연결하는 구슬 번호 두 개가 공백으로 구분되어 주어진다.

$N+2$ 번째 줄에 두산이가 가져간 $N$개의 구슬의 색깔을 나타내는 정수가 공백으로 구분되어 주어진다. $i$번째 정수는 $i$번 구슬의 색깔을 나타내며, $0$은 빨간색, $1$은 파란색 구슬임을 의미한다. ($1 \leq i \leq N$)

$N+3$ 번째 줄부터 $N-1$개의 줄에 걸쳐 두산이가 만든 트리의 간선이 연결하는 구슬 번호 두 개가 공백으로 구분되어 주어진다.

출력

게임이 종료되었을 때 게임 전체에 남아 있는 구슬의 개수로 가능한 최솟값과 최댓값을 공백으로 구분해 출력한다.

제한

  • $1 \leq N \leq 100,000$
  • 빨간색 구슬이 총 $N$개 있고, 파란색 구슬이 총 $N$개 있다.
  • 각자의 구슬 번호는 $1$부터 $N$까지이며, 서로 다르다.
  • 성호와 두산이가 구슬을 연결한 간선은 각각 트리 구조를 이룬다.

서브태스크 1 (20점)

성호와 두산이가 만든 트리의 $i$번째 간선은 $i$번 정점과 $i+1$번 정점을 연결한다. ($1 \leq i \leq N-1$)

서브태스크 2 (30점)

성호와 두산이가 만든 트리의 $i$번째 간선은 $1$번 정점과 $i+1$번 정점을 연결한다. ($1 \leq i \leq N-1$)

서브태스크 3 (50점)

추가 제약 조건 없음.

예제 입력 1 

4
0 1 0 1
1 2
1 3
4 2
1 0 0 1
3 2
1 4
2 1

예제 출력 1 

1 2

다음은 가능한 게임의 한 경우이다.

  1. 성호가 3번 구슬을 제거한다.
  2. 성호가 4번 구슬을 제거한다.
  3. 두산이가 3번 구슬을 제거한다.
  4. 성호가 2번 구슬을 제거한다.
  5. 두산이가 2번 구슬을 제거한다.
  6. 성호가 1번 구슬을 제거한다.
  7. 게임이 종료되고, 구슬은 두산이에게 2개 남아 있다.

예제 입력 2 

12
1 1 0 0 1 0 1 0 1 0 0 1
1 2
1 3
2 4
2 5
2 6
5 9
5 10
7 11
7 12
3 7
3 8
1 1 1 0 1 1 0 1 0 0 0 0
1 2
1 3
2 4
2 5
2 6
5 9
5 10
7 11
3 7
3 8
7 12

예제 출력 2 

2 6
[{"problem_id":"32152","problem_lang":"0","title":"\uc131\ud638\uc640 \ub450\uc0b0\uc774","description":"<p>\ube68\uac04\uc0c9 \uad6c\uc2ac\uacfc \ud30c\ub780\uc0c9 \uad6c\uc2ac\uc774 \uac01\uac01 $N$\uac1c\uc529 \uc788\ub2e4. \uc131\ud638\uc640 \ub450\uc0b0\uc774\ub294 \uc774 \uad6c\uc2ac\uc744 \uac00\uc9c0\uace0 \uac8c\uc784\uc744 \ud55c\ub2e4. \uba3c\uc800 \uac8c\uc784\uc744 \uc2dc\uc791\ud558\uae30 \uc804\uc5d0 \uad6c\uc2ac\uc744 $N$\uac1c\uc529 \ub098\ub204\uc5b4 \uac00\uc9c4\ub2e4. \uac01\uc790 \ub098\ub204\uc5b4 \uac00\uc9c4 \uad6c\uc2ac\uc744 \uc815\uc810\uc73c\ub85c \ud55c \ud2b8\ub9ac\ub97c \ub9cc\ub4e4\uace0, \ub8e8\ud2b8\uac00 \ub420 \uad6c\uc2ac\uc744 \ud558\ub098 \uc815\ud55c\ub2e4. \uc774 \uad6c\uc2ac\uc774 1\ubc88\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uac8c\uc784\uc740 \uc131\ud638\ubd80\ud130 \uc2dc\uc791\ud558\uba70, \uc790\uc2e0\uc758 \ucc28\ub840\uc5d0\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ud589\ub3d9\uc744 \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc790\uc2e0\uc758 \ud2b8\ub9ac\uc5d0\uc11c \ub9ac\ud504\uc778 \uad6c\uc2ac\uc744 \ud558\ub098 \uc81c\uac70\ud55c\ub2e4. \uc790\uc2e0\uc758 \ud2b8\ub9ac\uc5d0 \uc81c\uac70\ud560 \uad6c\uc2ac\uc774 \uc5c6\ub2e4\uba74 \uac8c\uc784\uc744 \uc885\ub8cc\ud55c\ub2e4.<\/li>\r\n\t<li>\ub2e4\uc74c \ucc28\ub840\ub294 \uc81c\uac70\ud55c \uad6c\uc2ac\uc774 \ube68\uac04\uc0c9\uc774\ub77c\uba74 \uc131\ud638, \ud30c\ub780\uc0c9\uc774\ub77c\uba74 \ub450\uc0b0\uc774\uac00 \ub41c\ub2e4. \uc774 \uacfc\uc815\uc744 \ubc18\ubcf5\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc131\ud638\uc640 \ub450\uc0b0\uc774\uac00 \ub9cc\ub4e0 \ud2b8\ub9ac\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac8c\uc784\uc774 \uc885\ub8cc\ub418\uc5c8\uc744 \ub54c \uac8c\uc784 \uc804\uccb4\uc5d0 \ub0a8\uc544 \uc788\ub294 \uad6c\uc2ac\uc758 \uac1c\uc218\ub85c \uac00\ub2a5\ud55c \ucd5c\uc19f\uac12\uacfc \ucd5c\ub313\uac12\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc790\uc5f0\uc218 $N$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \uc131\ud638\uac00 \uac00\uc838\uac04 $N$\uac1c\uc758 \uad6c\uc2ac\uc758 \uc0c9\uae54\uc744 \ub098\ud0c0\ub0b4\ub294 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $i$\ubc88\uc9f8 \uc815\uc218\ub294 $i$\ubc88 \uad6c\uc2ac\uc758 \uc0c9\uae54\uc744 \ub098\ud0c0\ub0b4\uba70, $0$\uc740 \ube68\uac04\uc0c9, $1$\uc740 \ud30c\ub780\uc0c9 \uad6c\uc2ac\uc784\uc744 \uc758\ubbf8\ud55c\ub2e4. ($1 \\leq i \\leq N$)<\/p>\r\n\r\n<p>\uc138 \ubc88\uc9f8 \uc904\ubd80\ud130 $N-1$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \uc131\ud638\uac00 \ub9cc\ub4e0 \ud2b8\ub9ac\uc758 \uac04\uc120\uc774 \uc5f0\uacb0\ud558\ub294 \uad6c\uc2ac \ubc88\ud638 \ub450 \uac1c\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>$N+2$ \ubc88\uc9f8 \uc904\uc5d0 \ub450\uc0b0\uc774\uac00 \uac00\uc838\uac04 $N$\uac1c\uc758 \uad6c\uc2ac\uc758 \uc0c9\uae54\uc744 \ub098\ud0c0\ub0b4\ub294 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $i$\ubc88\uc9f8 \uc815\uc218\ub294 $i$\ubc88 \uad6c\uc2ac\uc758 \uc0c9\uae54\uc744 \ub098\ud0c0\ub0b4\uba70, $0$\uc740 \ube68\uac04\uc0c9, $1$\uc740 \ud30c\ub780\uc0c9 \uad6c\uc2ac\uc784\uc744 \uc758\ubbf8\ud55c\ub2e4. ($1 \\leq i \\leq N$)<\/p>\r\n\r\n<p>$N+3$ \ubc88\uc9f8 \uc904\ubd80\ud130 $N-1$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \ub450\uc0b0\uc774\uac00 \ub9cc\ub4e0 \ud2b8\ub9ac\uc758 \uac04\uc120\uc774 \uc5f0\uacb0\ud558\ub294 \uad6c\uc2ac \ubc88\ud638 \ub450 \uac1c\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac8c\uc784\uc774 \uc885\ub8cc\ub418\uc5c8\uc744 \ub54c \uac8c\uc784 \uc804\uccb4\uc5d0 \ub0a8\uc544 \uc788\ub294 \uad6c\uc2ac\uc758 \uac1c\uc218\ub85c \uac00\ub2a5\ud55c \ucd5c\uc19f\uac12\uacfc \ucd5c\ub313\uac12\uc744 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud574 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1 \\leq N \\leq 100,000$<\/li>\r\n\t<li>\ube68\uac04\uc0c9 \uad6c\uc2ac\uc774 \ucd1d $N$\uac1c \uc788\uace0, \ud30c\ub780\uc0c9 \uad6c\uc2ac\uc774 \ucd1d $N$\uac1c \uc788\ub2e4.<\/li>\r\n\t<li>\uac01\uc790\uc758 \uad6c\uc2ac \ubc88\ud638\ub294 $1$\ubd80\ud130 $N$\uae4c\uc9c0\uc774\uba70, \uc11c\ub85c \ub2e4\ub974\ub2e4.<\/li>\r\n\t<li>\uc131\ud638\uc640 \ub450\uc0b0\uc774\uac00 \uad6c\uc2ac\uc744 \uc5f0\uacb0\ud55c \uac04\uc120\uc740 \uac01\uac01 \ud2b8\ub9ac \uad6c\uc870\ub97c \uc774\ub8ec\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>\uc131\ud638\uc640 \ub450\uc0b0\uc774\uac00 \ub9cc\ub4e0 \ud2b8\ub9ac\uc758 $i$\ubc88\uc9f8 \uac04\uc120\uc740 $i$\ubc88 \uc815\uc810\uacfc $i+1$\ubc88 \uc815\uc810\uc744 \uc5f0\uacb0\ud55c\ub2e4. ($1 \\leq i \\leq N-1$)<\/p>\r\n","subtask2":"<p>\uc131\ud638\uc640 \ub450\uc0b0\uc774\uac00 \ub9cc\ub4e0 \ud2b8\ub9ac\uc758 $i$\ubc88\uc9f8 \uac04\uc120\uc740 $1$\ubc88 \uc815\uc810\uacfc $i+1$\ubc88 \uc815\uc810\uc744 \uc5f0\uacb0\ud55c\ub2e4. ($1 \\leq i \\leq N-1$)<\/p>\r\n","subtask3":"<p>\ucd94\uac00 \uc81c\uc57d \uc870\uac74 \uc5c6\uc74c.<\/p>\r\n","sample_explain_1":"<p>\ub2e4\uc74c\uc740 \uac00\ub2a5\ud55c \uac8c\uc784\uc758 \ud55c \uacbd\uc6b0\uc774\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\uc131\ud638\uac00 3\ubc88 \uad6c\uc2ac\uc744 \uc81c\uac70\ud55c\ub2e4.<\/li>\r\n\t<li>\uc131\ud638\uac00 4\ubc88 \uad6c\uc2ac\uc744 \uc81c\uac70\ud55c\ub2e4.<\/li>\r\n\t<li>\ub450\uc0b0\uc774\uac00 3\ubc88 \uad6c\uc2ac\uc744 \uc81c\uac70\ud55c\ub2e4.<\/li>\r\n\t<li>\uc131\ud638\uac00 2\ubc88 \uad6c\uc2ac\uc744 \uc81c\uac70\ud55c\ub2e4.<\/li>\r\n\t<li>\ub450\uc0b0\uc774\uac00 2\ubc88 \uad6c\uc2ac\uc744 \uc81c\uac70\ud55c\ub2e4.<\/li>\r\n\t<li>\uc131\ud638\uac00 1\ubc88 \uad6c\uc2ac\uc744 \uc81c\uac70\ud55c\ub2e4.<\/li>\r\n\t<li>\uac8c\uc784\uc774 \uc885\ub8cc\ub418\uace0, \uad6c\uc2ac\uc740 \ub450\uc0b0\uc774\uc5d0\uac8c 2\uac1c \ub0a8\uc544 \uc788\ub2e4.<\/li>\r\n<\/ol>"},{"problem_id":"32152","problem_lang":"1","title":"Alice and Bob","description":"<p>There are $N$ red marbles and $N$ blue marbles. Alice and Bob will play a game using these marbles. First, they split the marbles and start with $N$ marbles each. Then, each person creates a tree using marbles as nodes, and selects one marble as the root. The said root marble&#39;s index will be 1.<\/p>\r\n\r\n<p>The game begins with Alice&#39;s turn. Each player, during their turn, takes the following action(s):<\/p>\r\n\r\n<ul>\r\n\t<li>Remove one leaf-node marble from the player&#39;s own tree. If no marbles can be removed from the&nbsp;tree, then the game ends.<\/li>\r\n\t<li>After the removal of a red marble (a blue marble, respectively), the next turn will be played by Alice (Bob, respectively).&nbsp;This process repeats.<\/li>\r\n<\/ul>\r\n\r\n<p>Alice&#39;s and Bob&#39;s trees are given as input. Compute the minimum and maximum possible numbers of remaining marbles&nbsp;at the end of the game.<\/p>\r\n","input":"<p>The first line of input will contain $N$.<\/p>\r\n\r\n<p>The second line will contain the colors of $N$ marbles taken by Alice, separated by whitespace. The $i$-th value is the color of the $i$-th marble, $0$ meaning red and $1$ meaning blue.&nbsp;($1 \\leq i \\leq N$)<\/p>\r\n\r\n<p>Starting with the third line, each of&nbsp;the next $N-1$ lines will contain an edge connecting two marbles,&nbsp;separated by whitespace,&nbsp;in the tree made by Alice.<\/p>\r\n\r\n<p>The $N+2$-th line will contain the colors of $N$ marbles taken by Bob, separated by whitespace. The $i$-th value is the color of the $i$-th marble, $0$ meaning red and $1$ meaning blue.&nbsp;($1 \\leq i \\leq N$)<\/p>\r\n\r\n<p>Starting with the $N+3$-th&nbsp;line, each of&nbsp;the next $N-1$ lines will contain an edge connecting two marbles,&nbsp;separated by whitespace,&nbsp;in the tree made by Bob.<\/p>\r\n","output":"<p>Output the minimum and maximum possible numbers of marbles that remain at the end of the game, separated by whitespace.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1 \\leq&nbsp;N \\leq&nbsp;100,000$<\/li>\r\n\t<li>There will be $N$ red marbles and $N$ blue marbles.<\/li>\r\n\t<li>Marbles are numbered from $1$ to $N$, and are distinct.<\/li>\r\n\t<li>Alice&#39;s edges and Bob&#39;s edges, respectively, will result in valid trees.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>In Alice&#39;s tree and in Bob&#39;s tree, respectively, the $i$-th edge connects the $i$-th marble and $i+1$-th marble.&nbsp;($1 \\leq&nbsp;i \\leq&nbsp;N-1$)<\/p>\r\n","subtask2":"<p>In Alice&#39;s tree and in Bob&#39;s tree, respectively, the $i$-th edge connects the&nbsp;$1$-st&nbsp;marble and $i+1$-th marble.&nbsp;($1 \\leq&nbsp;i \\leq&nbsp;N-1$)<\/p>\r\n","subtask3":"<p>There are no additional constraints.<\/p>\r\n","sample_explain_1":"<p>The following is one possible outcome of the game:<\/p>\r\n\r\n<ol>\r\n\t<li>Alice removes Marble #3.<\/li>\r\n\t<li>Alice removes Marble #4.<\/li>\r\n\t<li>Bob removes Marble #3.<\/li>\r\n\t<li>Alice removes Marble #2.<\/li>\r\n\t<li>Bob removes Marble #2.<\/li>\r\n\t<li>Alice removes Marble #1.<\/li>\r\n\t<li>The game ends, and there remain two marbles in Bob&#39;s tree.<\/li>\r\n<\/ol>\r\n"}]

출처

채점 및 기타 정보

  • 예제는 채점하지 않는다.

Baekjoon Online Judge

채점 현황

문제

유저 대회

고등학교 대회

출처

대학교 대회

도움말

© 2026 All Rights Reserved. 주식회사 스타트링크 | 서비스 약관 | 개인정보 보호 | 결제 이용 약관 | 도움말 | 광고 문의 | 업데이트 노트 | 이슈 | TODO

  • 사업자 등록 번호: 541-88-00682
  • 대표자명: 최백준
  • 주소: 서울시 서초구 서초대로74길 29 서초파라곤 412호
  • 전화번호: 02-521-0487 (이메일로 연락 주세요)
  • 이메일: contacts@startlink.io
  • 통신판매신고번호: 제 2017-서울서초-2193 호

한국어 | English (Beta)