시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

V의 집합과 간선 E의 집합으로 이루어진 양방향 그래프 G = ( V, E )가 주어진다. 이 그래프는 연결 그래프이다. 즉, 모든 정점쌍 간에 적어도 하나 이상의 경로가 존재한다. 각각의 정점들은 검정색 또는 흰색이다. 동전은 정점들 위에 하나씩 놓여 있는데 이 동전도 검정색 또는 흰색이다. 이 그래프에서 '동전 교환' 연산을 통해 인접한 정점 위에 있는 동전 2개의 위치를 서로 맞바꿀 수 있다. 아래 그림을 보면 이해 할 수 있을 것이다. (그림 1에서 네모의 색은 동전의 색깔이다.)

그림 1. '동전 교환' 연산의 예 (2 <> 5, 5 <> 6, 1 <> 5)

우리가 구하고자 하는 것은 모든 검정색 동전을 검정색 정점 위로, 모든 흰색 동전을 흰색 정점 위로 올리기 위해 필요한 '동전 교환' 연산의 최소 횟수이다.

입력

입력의 첫줄에는 테스트 케이스의 수 T가 주어진다. 각 테스트 케이스의 첫줄에는 정수 n과 m (1 ≤ n ≤ 500, n-1 ≤ m ≤ n(n-1)/2 )이 주어진다. 여기서 n은 정점의 개수, m은 간선의 개수를 나타낸다. 정점은 1 ~ n의 번호를 가진다. n, m의 다음줄부터 m 줄에 걸쳐서 인접한 두 정점 x, y (1 ≤ x < y ≤ n)이 주어진다. 그 다음 줄에는 0 또는 1의 값을 가지는 n개의 정수가 주어진다. 여기서 i (1 ≤ i ≤ n)번째 정수는 정점 i의 색깔이다. 0은 검정색 1은 흰색이다. 그 다음 줄에도 0 또는 1의 값을 가지는 n개의 정수가 주어지고 여기서 i (1 ≤ i ≤ n)번째 정수는 정점 i위에 있는 동전의 색깔을 의미한다.

출력

한 테스트케이스당 한 줄에 걸쳐 모든 동전과 정점의 색깔을 일치시키기 위해 필요한 최소 '동전 교환' 연산의 횟수를 출력하라.

예제 입력 1

3
4 4
1 2
1 3
2 4
3 4
0 1 1 0
0 1 0 1
6 7
1 2
1 5
1 4
2 3
2 5
4 5
5 6
1 1 0 0 0 0
0 0 0 0 1 1
6 5
1 2
2 3
3 4
4 5
5 6
1 0 1 1 0 0
0 0 1 1 0 1

예제 출력 1

1
3
5
[{"problem_id":"11493","problem_lang":"0","title":"\ub3d9\uc804 \uad50\ud658","description":"<p>V\uc758 \uc9d1\ud569\uacfc \uac04\uc120 E\uc758 \uc9d1\ud569\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uc591\ubc29\ud5a5 \uadf8\ub798\ud504 G = ( V, E )\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uadf8\ub798\ud504\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\uc774\ub2e4. \uc989, \ubaa8\ub4e0 \uc815\uc810\uc30d \uac04\uc5d0 \uc801\uc5b4\ub3c4 \ud558\ub098 \uc774\uc0c1\uc758 \uacbd\ub85c\uac00 \uc874\uc7ac\ud55c\ub2e4. \uac01\uac01\uc758 \uc815\uc810\ub4e4\uc740 \uac80\uc815\uc0c9 \ub610\ub294 \ud770\uc0c9\uc774\ub2e4. \ub3d9\uc804\uc740 \uc815\uc810\ub4e4 \uc704\uc5d0 \ud558\ub098\uc529 \ub193\uc5ec \uc788\ub294\ub370 \uc774 \ub3d9\uc804\ub3c4 \uac80\uc815\uc0c9 \ub610\ub294 \ud770\uc0c9\uc774\ub2e4. \uc774 \uadf8\ub798\ud504\uc5d0\uc11c &#39;\ub3d9\uc804 \uad50\ud658&#39; \uc5f0\uc0b0\uc744 \ud1b5\ud574 \uc778\uc811\ud55c \uc815\uc810 \uc704\uc5d0 \uc788\ub294 \ub3d9\uc804 2\uac1c\uc758 \uc704\uce58\ub97c \uc11c\ub85c \ub9de\ubc14\uafc0 \uc218 \uc788\ub2e4. \uc544\ub798 \uadf8\ub9bc\uc744 \ubcf4\uba74 \uc774\ud574 \ud560 \uc218 \uc788\uc744 \uac83\uc774\ub2e4. (\uadf8\ub9bc 1\uc5d0\uc11c \ub124\ubaa8\uc758 \uc0c9\uc740 \ub3d9\uc804\uc758 \uc0c9\uae54\uc774\ub2e4.)<\/p>\r\n\r\n<p><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/11493\/1.png\" style=\"display:block; height:133.973px; margin:auto; width:499px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uadf8\ub9bc 1. &#39;\ub3d9\uc804 \uad50\ud658&#39; \uc5f0\uc0b0\uc758 \uc608 (2 &lt;&gt; 5, 5 &lt;&gt; 6, 1 &lt;&gt; 5)<\/p>\r\n\r\n<p>\uc6b0\ub9ac\uac00 \uad6c\ud558\uace0\uc790 \ud558\ub294 \uac83\uc740 <span style=\"background-color:initial; font-family:arial,helvetica,verdana,tahoma,sans-serif\">\ubaa8\ub4e0 \uac80\uc815\uc0c9 \ub3d9\uc804\uc744<\/span><span style=\"background-color:initial; font-family:arial,helvetica,verdana,tahoma,sans-serif\"> \uac80\uc815\uc0c9 \uc815\uc810 \uc704\ub85c, \ubaa8\ub4e0 \ud770\uc0c9 \ub3d9\uc804\uc744<\/span><span style=\"background-color:initial; font-family:arial,helvetica,verdana,tahoma,sans-serif\"> \ud770\uc0c9 \uc815\uc810 \uc704\ub85c<\/span><span style=\"background-color:initial; font-family:arial,helvetica,verdana,tahoma,sans-serif\"> \uc62c\ub9ac\uae30 \uc704\ud574 \ud544\uc694\ud55c &#39;\ub3d9\uc804 \uad50\ud658&#39; \uc5f0\uc0b0\uc758 \ucd5c\uc18c \ud69f\uc218\uc774\ub2e4.<\/span><\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab\uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc904\uc5d0\ub294 \uc815\uc218 n\uacfc m (1 &le; n &le; 500, n-1 &le; m &le; n(n-1)\/2 )\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc5ec\uae30\uc11c n\uc740 \uc815\uc810\uc758 \uac1c\uc218, m\uc740 \uac04\uc120\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uc815\uc810\uc740 1 ~ n\uc758 \ubc88\ud638\ub97c \uac00\uc9c4\ub2e4. n, m\uc758 \ub2e4\uc74c\uc904\ubd80\ud130 m \uc904\uc5d0 \uac78\uccd0\uc11c \uc778\uc811\ud55c \ub450 \uc815\uc810 x, y (1 &le; x &lt; y &le; n)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub2e4\uc74c \uc904\uc5d0\ub294 0 \ub610\ub294 1\uc758 \uac12\uc744 \uac00\uc9c0\ub294 n\uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc5ec\uae30\uc11c i (1 &le; i &le; n)\ubc88\uc9f8 \uc815\uc218\ub294 \uc815\uc810 i\uc758 \uc0c9\uae54\uc774\ub2e4. 0\uc740 \uac80\uc815\uc0c9 1\uc740 \ud770\uc0c9\uc774\ub2e4. \uadf8 \ub2e4\uc74c \uc904\uc5d0\ub3c4 0 \ub610\ub294 1\uc758 \uac12\uc744 \uac00\uc9c0\ub294 n\uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c0\uace0 \uc5ec\uae30\uc11c i (1 &le; i &le; n)\ubc88\uc9f8 \uc815\uc218\ub294 \uc815\uc810 i\uc704\uc5d0 \uc788\ub294 \ub3d9\uc804\uc758 \uc0c9\uae54\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/p>\r\n","output":"<p>\ud55c \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\ub2f9 \ud55c \uc904\uc5d0 \uac78\uccd0 \ubaa8\ub4e0 \ub3d9\uc804\uacfc \uc815\uc810\uc758 \uc0c9\uae54\uc744 \uc77c\uce58\uc2dc\ud0a4\uae30 \uc704\ud574 \ud544\uc694\ud55c \ucd5c\uc18c &#39;\ub3d9\uc804 \uad50\ud658&#39; \uc5f0\uc0b0\uc758 \ud69f\uc218\ub97c \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"11493","problem_lang":"1","title":"Coin Swap","description":"<p>A graph G = (V, E) has a set V&nbsp;of vertices and a set E of edges, and it is connected, that is, there is a path between every pair of vertices in G. Each vertex in G has a color which is either black or white. A coin is placed on each vertex in G and each coin also has a black or white color. A pair of adjacent vertices can swap their current coins, which is called a swap operation.<\/p>\r\n\r\n<p>A swap operation is carried out in such a way that one edge in G is selected and the end vertices of the edge exchange their coins. Through these swap operations, black coins and white ones should be placed on black vertices and white ones, respectively, which is the goal of the problem. It is assumed that the number of black (and white) coins lying on the vertices is equal to the number of the black (and white, resp.,) vertices. That is, we can always achieve the goal of the problem.<\/p>\r\n\r\n<p>Given a graph G, colors of the vertices of G, and colors of coins initially placed on the vertices, your program is to find the minimum number of the swap operations achieving the goal.<\/p>\r\n\r\n<p>For example, in Figure 1, the colors of vertices 1 and 2 are black and the others are white. The coins placed on the vertices are drawn as rectangles with their colors. Then after three swap operations as shown in Figure 1, the colors of coins and vertices agree at each vertex.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/11493\/1.png\" style=\"height:170px; width:630px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">Figure 1. An example of swap operations.<\/p>\r\n","input":"<p>Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case starts with a line containing two integers n and m (1 &le; n &le; 500, n-1 &le; m &le; n(n-1)\/2 ), where n and m represent the number of vertices and edges, respectively, of a connected graph G. The vertices are numbered from 1 to n. In each of the following m lines, there are two integers x and y(1 &le; x &lt; y &le; n), which means there is an edge (x,y) connecting the vertices x and y in G. In the next line, there are n integers c<sub>i<\/sub>&nbsp;(c<sub>i<\/sub> = 0 or 1, i = 1, &hellip; , n), separated by a single space, where c<sub>i<\/sub> is the color of the vertex i. In the next line, there are n integers d<sub>i<\/sub>&nbsp;(d<sub>i<\/sub> = 0 or 1, i = 1, &hellip; ,n), separated by a single space, where d<sub>i<\/sub> is the color of a coin initially placed on the vertex i. If c<sub>i<\/sub> = 0 or d<sub>i<\/sub> = 0, it means black, and if c<sub>i<\/sub> = 1 or d<sub>i<\/sub> = 1, it means white.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly one line for each test case. The line should contain an integer representing the minimum number of the swap operations such that every vertex shall get a coin of the same color.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]