시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
3 초 256 MB 41 20 13 41.935%

문제

JOI합중국에는 $N$개의 도시가 있어서, 1번부터 $N$번까지의 번호가 붙어있다. 또한, JOI합중국에는 $N-1$개의 국도가 있다. $i$ 번째($1 \le i \le N-1$) 국도는 $A_i$번 도시와 $B_i$번 도시를 양방향으로 잇는다. 어떤 두 도시에 대해서도, 국도 몇개를 이용하면 서로 오가는 것이 가능하다.

현재, JOI합중국은 1번부터 $K$번까지의 번호가 붙어있는 $K$개의 주로 나뉘어 있다. $j$번 ($1 \le j \le N$)도시는 $S_j$번 주에 속한다. 모든 주에는 적어도 하나의 도시가 속해 있다.

JOI합중국의 대통령인 $K$이사장은, 이 나라가 분열하지 않을까 걱정이 되었다. 다음 조건을 모두 만족하도록 모든 도시를 2개의 그룹 $X$, $Y$로 나누는 것이 가능할 때, JOI합중국은 분열가능한 상태라고 말한다.

  • 모든 도시는 그룹 $X$혹은 그룹 $Y$에 속한다.
  • 그룹 $X$에는 적어도 하나의 도시가 속해 있다.
  • 그룹 $Y$에는 적어도 하나의 도시가 속해 있다.
  • 모든 주에 대해서, 그 주에 있는 모든 도시는 모두 같은 그룹에 속해 있다.
  • 그룹 $X$에 속한 어떤 두 도시에 대해서도, 그룹 $X$에 속한 도시만을 경유해서 서로 오가는 것이 가능하다.
  • 그룹 $Y$에 속한 어떤 두 도시에 대해서도, 그룹 $X$에 속한 도시만을 경유해서 서로 오가는 것이 가능하다.

$K$이사장은, JOI합중국이 분열가능하지 않은 상태를 만들기 위해, 주를 합병하려고 한다. 한번의 합병은 두개의 주를 골라서 합치는 것을 말한다. 새로운 주는, 기존의 두 주에 속해 있던 도시 들이 속해있다. K이사장은 주를 최소한의 횟수만큼 합병하여 JOI합중국을 분열가능하지 않은 상태로 만들고 싶어한다.

도시와 국도의 위치, 현재 어떤 도시가 어떤 주에 속해있는가에 대한 상태가 주어졌을 때, JOI 합중국이 분열가능하지 않은 상태로 만들기 위한 합병의 최소 횟수를 구하는 프로그램을 작성하여라.

입력

표준 입력에서 다음과 같은 형식으로 주어진다. 모든 값은 정수이다.

$N$ $K$

$A_1$ $B_1$

$\vdots$

$A_{N-1}$ $B_{N-1}$

$S_1$

$\vdots$

$S_N$

출력

JOI합중국을 분열가능하지 않은 상태로 만들기 위한 합병의 최소횟수를 표준 출력의 첫째 줄에 출력하여라.

제한

  • $1 \le N \le 500\ 000$.
  • $1 \le K \le N$.
  • $1 \le A_i \le N$ ($1 \le i \le N-1$).
  • $1 \le B_i \le N$ ($1 \le i \le N-1$).
  • 어떤 두 도시에 대해서도, 국도 몇개를 이용하면 서로 오가는 것이 가능하다.
  • $1 \le S_j \le K$ ($1 \le j \le N$)
  • 모든 $k$ ($1 \le k \le N$)에 대해, $S_j = k$를 만족하는 $j$ ($1 \le j \le N$)가 존재한다.

예제 입력 1

5 4
1 2
2 3
3 4
3 5
1
2
1
3
4

예제 출력 1

1

이 예제에서는, 처음의 상태는 분열가능하다. 예를 들면, 1번, 2번, 3번, 4번 도시를 그룹 $X$라 하고, 5번 도시를 그룹 $Y$라고 하면 된다.

3번 도시와 4번 도시를 합병할 경우 분열가능하지 않은 상태가 된다. 그러므로 답은 1이다.

예제 입력 2

5 4
1 2
2 3
3 4
4 5
1
2
3
4
1

예제 출력 2

0

 이 예제에서는, 처음의 상태는 분열가능하지 않다. 그러므로 답은 0이다.

예제 입력 3

2 2
1 2
1
2

예제 출력 3

1
[{"problem_id":"17678","problem_lang":"0","title":"\ud569\ubcd1","description":"<p>JOI\ud569\uc911\uad6d\uc5d0\ub294 $N$\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\uc5b4\uc11c, 1\ubc88\ubd80\ud130 $N$\ubc88\uae4c\uc9c0\uc758 \ubc88\ud638\uac00 \ubd99\uc5b4\uc788\ub2e4. \ub610\ud55c, JOI\ud569\uc911\uad6d\uc5d0\ub294 $N-1$\uac1c\uc758 \uad6d\ub3c4\uac00 \uc788\ub2e4. $i$ \ubc88\uc9f8($1 \\le i \\le N-1$) \uad6d\ub3c4\ub294 $A_i$\ubc88 \ub3c4\uc2dc\uc640 $B_i$\ubc88 \ub3c4\uc2dc\ub97c \uc591\ubc29\ud5a5\uc73c\ub85c \uc787\ub294\ub2e4. \uc5b4\ub5a4 \ub450 \ub3c4\uc2dc\uc5d0 \ub300\ud574\uc11c\ub3c4, \uad6d\ub3c4 \uba87\uac1c\ub97c \uc774\uc6a9\ud558\uba74 \uc11c\ub85c \uc624\uac00\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>\ud604\uc7ac, JOI\ud569\uc911\uad6d\uc740 1\ubc88\ubd80\ud130 $K$\ubc88\uae4c\uc9c0\uc758 \ubc88\ud638\uac00 \ubd99\uc5b4\uc788\ub294 $K$\uac1c\uc758 \uc8fc\ub85c \ub098\ub258\uc5b4 \uc788\ub2e4. $j$\ubc88 ($1 \\le j \\le N$)\ub3c4\uc2dc\ub294 $S_j$\ubc88 \uc8fc\uc5d0 \uc18d\ud55c\ub2e4. \ubaa8\ub4e0 \uc8fc\uc5d0\ub294 \uc801\uc5b4\ub3c4 \ud558\ub098\uc758 \ub3c4\uc2dc\uac00 \uc18d\ud574 \uc788\ub2e4.<\/p>\r\n\r\n<p>JOI\ud569\uc911\uad6d\uc758 \ub300\ud1b5\ub839\uc778 $K$\uc774\uc0ac\uc7a5\uc740, \uc774 \ub098\ub77c\uac00 \ubd84\uc5f4\ud558\uc9c0 \uc54a\uc744\uae4c \uac71\uc815\uc774 \ub418\uc5c8\ub2e4. \ub2e4\uc74c \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\ud558\ub3c4\ub85d \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c 2\uac1c\uc758 \uadf8\ub8f9 $X$, $Y$\ub85c \ub098\ub204\ub294 \uac83\uc774 \uac00\ub2a5\ud560 \ub54c, JOI\ud569\uc911\uad6d\uc740 <strong>\ubd84\uc5f4\uac00\ub2a5<\/strong>\ud55c \uc0c1\ud0dc\ub77c\uace0 \ub9d0\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ubaa8\ub4e0 \ub3c4\uc2dc\ub294 \uadf8\ub8f9 $X$\ud639\uc740 \uadf8\ub8f9 $Y$\uc5d0 \uc18d\ud55c\ub2e4.<\/li>\r\n\t<li>\uadf8\ub8f9 $X$\uc5d0\ub294 \uc801\uc5b4\ub3c4 \ud558\ub098\uc758 \ub3c4\uc2dc\uac00 \uc18d\ud574 \uc788\ub2e4.<\/li>\r\n\t<li>\uadf8\ub8f9 $Y$\uc5d0\ub294 \uc801\uc5b4\ub3c4 \ud558\ub098\uc758 \ub3c4\uc2dc\uac00 \uc18d\ud574 \uc788\ub2e4.<\/li>\r\n\t<li>\ubaa8\ub4e0 \uc8fc\uc5d0 \ub300\ud574\uc11c, \uadf8 \uc8fc\uc5d0 \uc788\ub294 \ubaa8\ub4e0 \ub3c4\uc2dc\ub294 \ubaa8\ub450 \uac19\uc740 \uadf8\ub8f9\uc5d0 \uc18d\ud574 \uc788\ub2e4.<\/li>\r\n\t<li>\uadf8\ub8f9 $X$\uc5d0 \uc18d\ud55c \uc5b4\ub5a4 \ub450 \ub3c4\uc2dc\uc5d0 \ub300\ud574\uc11c\ub3c4, \uadf8\ub8f9 $X$\uc5d0 \uc18d\ud55c \ub3c4\uc2dc\ub9cc\uc744 \uacbd\uc720\ud574\uc11c \uc11c\ub85c \uc624\uac00\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4.<\/li>\r\n\t<li>\uadf8\ub8f9 $Y$\uc5d0 \uc18d\ud55c \uc5b4\ub5a4 \ub450 \ub3c4\uc2dc\uc5d0 \ub300\ud574\uc11c\ub3c4, \uadf8\ub8f9 $X$\uc5d0 \uc18d\ud55c \ub3c4\uc2dc\ub9cc\uc744 \uacbd\uc720\ud574\uc11c \uc11c\ub85c \uc624\uac00\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>$K$\uc774\uc0ac\uc7a5\uc740, JOI\ud569\uc911\uad6d\uc774 \ubd84\uc5f4\uac00\ub2a5\ud558\uc9c0 \uc54a\uc740 \uc0c1\ud0dc\ub97c \ub9cc\ub4e4\uae30 \uc704\ud574, \uc8fc\ub97c \ud569\ubcd1\ud558\ub824\uace0 \ud55c\ub2e4. \ud55c\ubc88\uc758 \ud569\ubcd1\uc740 \ub450\uac1c\uc758 \uc8fc\ub97c \uace8\ub77c\uc11c \ud569\uce58\ub294 \uac83\uc744 \ub9d0\ud55c\ub2e4. \uc0c8\ub85c\uc6b4 \uc8fc\ub294, \uae30\uc874\uc758 \ub450 \uc8fc\uc5d0 \uc18d\ud574 \uc788\ub358 \ub3c4\uc2dc \ub4e4\uc774 \uc18d\ud574\uc788\ub2e4. K\uc774\uc0ac\uc7a5\uc740 \uc8fc\ub97c \ucd5c\uc18c\ud55c\uc758 \ud69f\uc218\ub9cc\ud07c \ud569\ubcd1\ud558\uc5ec JOI\ud569\uc911\uad6d\uc744 \ubd84\uc5f4\uac00\ub2a5\ud558\uc9c0 \uc54a\uc740 \uc0c1\ud0dc\ub85c \ub9cc\ub4e4\uace0 \uc2f6\uc5b4\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\uc2dc\uc640 \uad6d\ub3c4\uc758 \uc704\uce58, \ud604\uc7ac \uc5b4\ub5a4 \ub3c4\uc2dc\uac00 \uc5b4\ub5a4 \uc8fc\uc5d0 \uc18d\ud574\uc788\ub294\uac00\uc5d0 \ub300\ud55c \uc0c1\ud0dc\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, JOI \ud569\uc911\uad6d\uc774 \ubd84\uc5f4\uac00\ub2a5\ud558\uc9c0 \uc54a\uc740 \uc0c1\ud0dc\ub85c \ub9cc\ub4e4\uae30 \uc704\ud55c \ud569\ubcd1\uc758 \ucd5c\uc18c \ud69f\uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc5ec\ub77c.<\/p>\r\n","input":"<p>\ud45c\uc900 \uc785\ub825\uc5d0\uc11c \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uac12\uc740 \uc815\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>$N$ $K$<\/p>\r\n\r\n<p>$A_1$ $B_1$<\/p>\r\n\r\n<p>$\\vdots$<\/p>\r\n\r\n<p>$A_{N-1}$ $B_{N-1}$<\/p>\r\n\r\n<p>$S_1$<\/p>\r\n\r\n<p>$\\vdots$<\/p>\r\n\r\n<p>$S_N$<\/p>\r\n","output":"<p>JOI\ud569\uc911\uad6d\uc744 \ubd84\uc5f4\uac00\ub2a5\ud558\uc9c0 \uc54a\uc740 \uc0c1\ud0dc\ub85c \ub9cc\ub4e4\uae30 \uc704\ud55c \ud569\ubcd1\uc758 \ucd5c\uc18c\ud69f\uc218\ub97c \ud45c\uc900 \ucd9c\ub825\uc758 \uccab\uc9f8 \uc904\uc5d0 \ucd9c\ub825\ud558\uc5ec\ub77c.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\ud55c\uad6d\uc5b4","limit":"<ul>\r\n\t<li>$1 \\le N \\le 500\\ 000$.<\/li>\r\n\t<li>$1 \\le K \\le N$.<\/li>\r\n\t<li>$1 \\le A_i \\le N$ ($1 \\le i \\le N-1$).<\/li>\r\n\t<li>$1 \\le B_i \\le N$ ($1 \\le i \\le N-1$).<\/li>\r\n\t<li>\uc5b4\ub5a4 \ub450 \ub3c4\uc2dc\uc5d0 \ub300\ud574\uc11c\ub3c4, \uad6d\ub3c4 \uba87\uac1c\ub97c \uc774\uc6a9\ud558\uba74 \uc11c\ub85c \uc624\uac00\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4.<\/li>\r\n\t<li>$1 \\le S_j \\le K$ ($1 \\le j \\le N$)<\/li>\r\n\t<li>\ubaa8\ub4e0 $k$ ($1 \\le k \\le N$)\uc5d0 \ub300\ud574, $S_j = k$\ub97c \ub9cc\uc871\ud558\ub294 $j$ ($1 \\le j \\le N$)\uac00 \uc874\uc7ac\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>\uc774 \uc608\uc81c\uc5d0\uc11c\ub294, \ucc98\uc74c\uc758 \uc0c1\ud0dc\ub294 \ubd84\uc5f4\uac00\ub2a5\ud558\ub2e4. \uc608\ub97c \ub4e4\uba74, 1\ubc88, 2\ubc88, 3\ubc88, 4\ubc88 \ub3c4\uc2dc\ub97c \uadf8\ub8f9 $X$\ub77c \ud558\uace0, 5\ubc88 \ub3c4\uc2dc\ub97c \uadf8\ub8f9 $Y$\ub77c\uace0 \ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>3\ubc88 \ub3c4\uc2dc\uc640 4\ubc88 \ub3c4\uc2dc\ub97c \ud569\ubcd1\ud560 \uacbd\uc6b0 \ubd84\uc5f4\uac00\ub2a5\ud558\uc9c0 \uc54a\uc740 \uc0c1\ud0dc\uac00 \ub41c\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \ub2f5\uc740 1\uc774\ub2e4.<\/p>\r\n","sample_explain_2":"<p>&nbsp;\uc774 \uc608\uc81c\uc5d0\uc11c\ub294, \ucc98\uc74c\uc758 \uc0c1\ud0dc\ub294 \ubd84\uc5f4\uac00\ub2a5\ud558\uc9c0 \uc54a\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \ub2f5\uc740 0\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"17678","problem_lang":"1","title":"Mergers","description":"<p>There are N cities numbered from 1 to N and N &minus; 1 highways numbered from 1 to N &minus; 1 in the United States of JOI. The i-th highway (1 &le; i &le; N &minus; 1) connects between the city A<sub>i<\/sub> and the city B<sub>i<\/sub> bidirectionally. One can travel between any two cities by using the highways.<\/p>\r\n\r\n<p>Currently, the United States of JOI is constituted of K states numbered from 1 to K. The city j (1 &le; j &le; N) belongs to the state S<sub>j<\/sub>. Any state has at least one city.<\/p>\r\n\r\n<p>Mr. K, the president of the United States of JOI, is afraid of separation of this country. The United States of JOI is said to be <strong>separable<\/strong> if one can divide all cities into Group X and Group Y so that the following conditions are satisfied:<\/p>\r\n\r\n<ul>\r\n\t<li>Any city belongs to either Group X or Group Y.<\/li>\r\n\t<li>Group X has at least one city.<\/li>\r\n\t<li>Group Y has at least one city.<\/li>\r\n\t<li>For any state, all cities belonging to the state belongs the same group.<\/li>\r\n\t<li>One can travel between any two cities belonging to Group X only via cities belonging to Group X by using the highways.<\/li>\r\n\t<li>One can travel between any two cities belonging to Group Y only via cities belonging to Group Y by using the highways.<\/li>\r\n<\/ul>\r\n\r\n<p>Mr. K is going to merge states to make the United States of JOI not separable. When he merges states, he chooses two states and unifies the states into a state. The cities belonging to the unified state are the cities belonging to either of the two states. Mr. K wants to make the United States of JOI not separable by merging states as few times as possible.<\/p>\r\n\r\n<p>Note that if the United States of JOI has only one state, it is not separable.<\/p>\r\n\r\n<p>Write a program which, given information about cities, highways and states, calculates the minimum number of mergers to make the United States of JOI not separable.<\/p>\r\n","input":"<p>Read the following data from the standard input. All the values in the input are integers.<\/p>\r\n\r\n<pre>\r\nN K\r\nA<sub>1<\/sub> B<sub>1<\/sub>\r\n:\r\nA<sub>N&minus;1<\/sub> B<sub>N&minus;1<\/sub>\r\nS<sub>1<\/sub>\r\n:\r\nS<sub>N<\/sub><\/pre>\r\n","output":"<p>Write the minimum number of mergers to make the United States of JOI not separable to the standard output.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\uc601\uc5b4","limit":"<ul>\r\n\t<li>1 &le; N &le; 500 000\uff0e<\/li>\r\n\t<li>1 &le; K &le; N\uff0e<\/li>\r\n\t<li>1 &le; A<sub>i<\/sub> &le; N (1 &le; i &le; N &minus; 1)\uff0e<\/li>\r\n\t<li>1 &le; B<sub>i<\/sub> &le; N (1 &le; i &le; N &minus; 1)\uff0e<\/li>\r\n\t<li>One can travel between any two cities by using the highways.<\/li>\r\n\t<li>1 &le; S<sub>j<\/sub> &le; K (1 &le; j &le; N)\uff0e<\/li>\r\n\t<li>For any k (1 &le; k &le; K), there exists j (1 &le; j &le; N) such that S<sub>j<\/sub> = k.<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>In this sample, at the initial situation, the United States of JOI is separable. For example, if one groups the cities 1, 2, 3 and 4 as Group X and the city 5 as Group Y, the conditions of separability are satisfied.<\/p>\r\n\r\n<p>If Mr. K merges the state 3 and the state 4, the United States of JOI becomes not separable. So the answer is 1.<\/p>\r\n","sample_explain_2":"<p>In this sample, at the initial situation, the United States of JOI is not separable. So the answer is 0.<\/p>\r\n"}]