시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 512 MB 61 45 31 79.487%

문제

농부 존은 남는 시간에 MooTube라 불리는 동영상 공유 서비스를 만들었다. MooTube에서 농부 존의 소들은 재밌는 동영상들을 서로 공유할 수 있다. 소들은 MooTube에 1부터 N까지 번호가 붙여진 N (1 ≤ N ≤ 100,000)개의 동영상을 이미 올려 놓았다. 하지만, 존은 아직 어떻게 하면 소들이 그들이 좋아할 만한 새 동영상을 찾을 수 있을지 괜찮은 방법을 떠올리지 못했다.

농부 존은 모든 MooTube 동영상에 대해 “연관 동영상” 리스트를 만들기로 했다. 이렇게 하면 소들은 지금 보고 있는 동영상과 연관성이 높은 동영상을 추천 받을 수 있을 것이다.

존은 두 동영상이 서로 얼마나 가까운 지를 측정하는 단위인 “USADO”를 만들었다. 존은 N-1개의 동영상 쌍을 골라서 직접 두 쌍의 USADO를 계산했다. 그 다음에 존은 이 동영상들을 네트워크 구조로 바꿔서, 각 동영상을 정점으로 나타내기로 했다. 또 존은 동영상들의 연결 구조를 서로 연결되어 있는 N-1개의 동영상 쌍으로 나타내었다. 좀 더 쉽게 말해서, 존은 N-1개의 동영상 쌍을 골라서 어떤 동영상에서 다른 동영상으로 가는 경로가 반드시 하나 존재하도록 했다. 존은 임의의 두 쌍 사이의 동영상의 USADO를 그 경로의 모든 연결들의 USADO 중 최솟값으로 하기로 했다.

존은 어떤 주어진 MooTube 동영상에 대해, 값 K를 정해서 그 동영상과 USADO가 K 이상인 모든 동영상이 추천되도록 할 것이다. 하지만 존은 너무 많은 동영상이 추천되면 소들이 일하는 것이 방해될까 봐 걱정하고 있다! 그래서 그는 K를 적절한 값으로 결정하려고 한다. 농부 존은 어떤 K 값에 대한 추천 동영상의 개수를 묻는 질문 여러 개에 당신이 대답해주기를 바란다.

입력

입력의 첫 번째 줄에는 N과 Q가 주어진다. (1 ≤ Q ≤ 100,000)

다음 N-1개의 줄에는 농부 존이 직접 잰 두 동영상 쌍의 USADO가 한 줄에 하나씩 주어진다. 각 줄은 세 정수 pi, qi, ri (1 ≤ pi, qi ≤ N, 1 ≤ ri ≤ 1,000,000,000)를 포함하는데, 이는 동영상 pi와 qi가 USADO ri로 서로 연결되어 있음을 뜻한다.

다음 Q개의 줄에는 농부 존의 Q개의 질문이 주어진다. 각 줄은 두 정수 ki와 vi(1 ≤ ki ≤ 1,000,000,000, 1 ≤ vi ≤ N)을 포함하는데, 이는 존의 i번째 질문이 만약 K = ki라면 동영상 vi를 보고 있는 소들에게 몇 개의 동영상이 추천될 지 묻는 것이라는 것을 뜻한다.

출력

Q개의 줄을 출력한다. i번째 줄에는 농부 존의 i번째 질문에 대한 답변이 출력되어야 한다.

예제 입력 1

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

예제 출력 1

3
0
2

힌트

농부 존은 1번 동영상과 2번 동영상이 USADO 3을 가지고, 2번 동영상과 3번 동영상이 USADO 2를 가지고, 2번 동영상과 4번 동영상이 USADO 4를 가진다고 했다. 이것에 기반해서 1번 동영상과 3번 동영상의 USADO는 min(3,2)=2가 되고, 1번 동영상과 4번 동영상의 USADO는 min(3,4)=3이 되고, 3번 동영상과 4번 도영상의 USADO는 min(2,4)=2가 된다.

농부 존은 K=1일 때 2번 동영상, K=3일 때 1번 동영상, K=4일 때 1번 동영상을 보면 각각 몇 개의 동영상이 추천될까 궁금해하고 있다. K=1일 때 2번 동영상에서 추천되는 동영상은 1, 3, 4번 동영상이다. K=4일 때 1번 동영상으로부터 추천되는 동영상은 없다. 그러나 K=3일때는 1번 동영상에서 2번 동영상과 3번 동영상이 추천된다.

[{"problem_id":"15586","problem_lang":"0","title":"MooTube (Gold)","description":"<p>\ub18d\ubd80 \uc874\uc740 \ub0a8\ub294 \uc2dc\uac04\uc5d0 MooTube\ub77c \ubd88\ub9ac\ub294 \ub3d9\uc601\uc0c1 \uacf5\uc720 \uc11c\ube44\uc2a4\ub97c \ub9cc\ub4e4\uc5c8\ub2e4. MooTube\uc5d0\uc11c \ub18d\ubd80 \uc874\uc758 \uc18c\ub4e4\uc740 \uc7ac\ubc0c\ub294 \ub3d9\uc601\uc0c1\ub4e4\uc744 \uc11c\ub85c \uacf5\uc720\ud560 \uc218 \uc788\ub2e4. \uc18c\ub4e4\uc740 MooTube\uc5d0 1\ubd80\ud130 N\uae4c\uc9c0 \ubc88\ud638\uac00 \ubd99\uc5ec\uc9c4 N (1 &le; N &le; 100,000)\uac1c\uc758 \ub3d9\uc601\uc0c1\uc744 \uc774\ubbf8 \uc62c\ub824 \ub193\uc558\ub2e4. \ud558\uc9c0\ub9cc, \uc874\uc740 \uc544\uc9c1 \uc5b4\ub5bb\uac8c \ud558\uba74 \uc18c\ub4e4\uc774 \uadf8\ub4e4\uc774 \uc88b\uc544\ud560 \ub9cc\ud55c \uc0c8 \ub3d9\uc601\uc0c1\uc744 \ucc3e\uc744 \uc218 \uc788\uc744\uc9c0 \uad1c\ucc2e\uc740 \ubc29\ubc95\uc744 \ub5a0\uc62c\ub9ac\uc9c0 \ubabb\ud588\ub2e4.<\/p>\r\n\r\n<p>\ub18d\ubd80 \uc874\uc740 \ubaa8\ub4e0 MooTube \ub3d9\uc601\uc0c1\uc5d0 \ub300\ud574 &ldquo;\uc5f0\uad00 \ub3d9\uc601\uc0c1&rdquo; \ub9ac\uc2a4\ud2b8\ub97c \ub9cc\ub4e4\uae30\ub85c \ud588\ub2e4. \uc774\ub807\uac8c \ud558\uba74 \uc18c\ub4e4\uc740 \uc9c0\uae08 \ubcf4\uace0 \uc788\ub294 \ub3d9\uc601\uc0c1\uacfc \uc5f0\uad00\uc131\uc774 \ub192\uc740 \ub3d9\uc601\uc0c1\uc744 \ucd94\ucc9c \ubc1b\uc744 \uc218 \uc788\uc744 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc874\uc740 \ub450 \ub3d9\uc601\uc0c1\uc774 \uc11c\ub85c \uc5bc\ub9c8\ub098 \uac00\uae4c\uc6b4 \uc9c0\ub97c \uce21\uc815\ud558\ub294 \ub2e8\uc704\uc778 &ldquo;USADO&rdquo;\ub97c \ub9cc\ub4e4\uc5c8\ub2e4. \uc874\uc740 N-1\uac1c\uc758 \ub3d9\uc601\uc0c1 \uc30d\uc744 \uace8\ub77c\uc11c \uc9c1\uc811 \ub450 \uc30d\uc758 USADO\ub97c \uacc4\uc0b0\ud588\ub2e4. \uadf8 \ub2e4\uc74c\uc5d0 \uc874\uc740 \uc774 \ub3d9\uc601\uc0c1\ub4e4\uc744 \ub124\ud2b8\uc6cc\ud06c \uad6c\uc870\ub85c \ubc14\uafd4\uc11c, \uac01 \ub3d9\uc601\uc0c1\uc744 \uc815\uc810\uc73c\ub85c \ub098\ud0c0\ub0b4\uae30\ub85c \ud588\ub2e4. \ub610 \uc874\uc740 \ub3d9\uc601\uc0c1\ub4e4\uc758 \uc5f0\uacb0 \uad6c\uc870\ub97c \uc11c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\ub294 N-1\uac1c\uc758 \ub3d9\uc601\uc0c1 \uc30d\uc73c\ub85c \ub098\ud0c0\ub0b4\uc5c8\ub2e4. \uc880 \ub354 \uc27d\uac8c \ub9d0\ud574\uc11c, \uc874\uc740 N-1\uac1c\uc758 \ub3d9\uc601\uc0c1 \uc30d\uc744 \uace8\ub77c\uc11c \uc5b4\ub5a4 \ub3d9\uc601\uc0c1\uc5d0\uc11c \ub2e4\ub978 \ub3d9\uc601\uc0c1\uc73c\ub85c \uac00\ub294 \uacbd\ub85c\uac00 \ubc18\ub4dc\uc2dc \ud558\ub098 \uc874\uc7ac\ud558\ub3c4\ub85d \ud588\ub2e4. \uc874\uc740 \uc784\uc758\uc758 \ub450 \uc30d \uc0ac\uc774\uc758 \ub3d9\uc601\uc0c1\uc758 USADO\ub97c \uadf8 \uacbd\ub85c\uc758 \ubaa8\ub4e0 \uc5f0\uacb0\ub4e4\uc758 USADO \uc911 \ucd5c\uc19f\uac12\uc73c\ub85c \ud558\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uc874\uc740 \uc5b4\ub5a4 \uc8fc\uc5b4\uc9c4 MooTube \ub3d9\uc601\uc0c1\uc5d0 \ub300\ud574, \uac12 K\ub97c \uc815\ud574\uc11c \uadf8 \ub3d9\uc601\uc0c1\uacfc USADO\uac00 K \uc774\uc0c1\uc778 \ubaa8\ub4e0 \ub3d9\uc601\uc0c1\uc774 \ucd94\ucc9c\ub418\ub3c4\ub85d \ud560 \uac83\uc774\ub2e4. \ud558\uc9c0\ub9cc \uc874\uc740 \ub108\ubb34 \ub9ce\uc740 \ub3d9\uc601\uc0c1\uc774 \ucd94\ucc9c\ub418\uba74 \uc18c\ub4e4\uc774 \uc77c\ud558\ub294 \uac83\uc774 \ubc29\ud574\ub420\uae4c \ubd10 \uac71\uc815\ud558\uace0 \uc788\ub2e4! \uadf8\ub798\uc11c \uadf8\ub294 K\ub97c \uc801\uc808\ud55c \uac12\uc73c\ub85c \uacb0\uc815\ud558\ub824\uace0 \ud55c\ub2e4. \ub18d\ubd80 \uc874\uc740 \uc5b4\ub5a4 K \uac12\uc5d0 \ub300\ud55c \ucd94\ucc9c \ub3d9\uc601\uc0c1\uc758 \uac1c\uc218\ub97c \ubb3b\ub294 \uc9c8\ubb38 \uc5ec\ub7ec \uac1c\uc5d0 \ub2f9\uc2e0\uc774 \ub300\ub2f5\ud574\uc8fc\uae30\ub97c \ubc14\ub780\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 N\uacfc Q\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le;&nbsp;Q &le; 100,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c N-1\uac1c\uc758 \uc904\uc5d0\ub294 \ub18d\ubd80 \uc874\uc774 \uc9c1\uc811 \uc7b0 \ub450 \ub3d9\uc601\uc0c1 \uc30d\uc758 USADO\uac00 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc904\uc740 \uc138 \uc815\uc218 p<sub>i<\/sub>, q<sub>i<\/sub>, r<sub>i<\/sub> (1 &le; p<sub>i<\/sub>, q<sub>i<\/sub>&nbsp;&le;&nbsp;N, 1 &le; r<sub>i<\/sub> &le; 1,000,000,000)\ub97c \ud3ec\ud568\ud558\ub294\ub370, \uc774\ub294 \ub3d9\uc601\uc0c1 p<sub>i<\/sub>\uc640 q<sub>i<\/sub>\uac00 USADO r<sub>i<\/sub>\ub85c \uc11c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\uc74c\uc744 \ub73b\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c Q\uac1c\uc758 \uc904\uc5d0\ub294 \ub18d\ubd80 \uc874\uc758 Q\uac1c\uc758 \uc9c8\ubb38\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc904\uc740 \ub450 \uc815\uc218 k<sub>i<\/sub>\uc640 v<sub>i<\/sub>(1 &le; k<sub>i<\/sub> &le;&nbsp;1,000,000,000, 1 &le; v<sub>i<\/sub> &le; N)\uc744 \ud3ec\ud568\ud558\ub294\ub370, \uc774\ub294 \uc874\uc758 i\ubc88\uc9f8 \uc9c8\ubb38\uc774 \ub9cc\uc57d K = k<sub>i<\/sub>\ub77c\uba74 \ub3d9\uc601\uc0c1 v<sub>i<\/sub>\ub97c \ubcf4\uace0 \uc788\ub294 \uc18c\ub4e4\uc5d0\uac8c \uba87 \uac1c\uc758 \ub3d9\uc601\uc0c1\uc774 \ucd94\ucc9c\ub420 \uc9c0 \ubb3b\ub294 \uac83\uc774\ub77c\ub294 \uac83\uc744 \ub73b\ud55c\ub2e4.<\/p>\r\n","output":"<p>Q\uac1c\uc758 \uc904\uc744 \ucd9c\ub825\ud55c\ub2e4. i\ubc88\uc9f8 \uc904\uc5d0\ub294 \ub18d\ubd80 \uc874\uc758 i\ubc88\uc9f8 \uc9c8\ubb38\uc5d0 \ub300\ud55c \ub2f5\ubcc0\uc774 \ucd9c\ub825\ub418\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ub18d\ubd80 \uc874\uc740 1\ubc88 \ub3d9\uc601\uc0c1\uacfc 2\ubc88 \ub3d9\uc601\uc0c1\uc774 USADO 3\uc744 \uac00\uc9c0\uace0, 2\ubc88 \ub3d9\uc601\uc0c1\uacfc 3\ubc88 \ub3d9\uc601\uc0c1\uc774 USADO 2\ub97c \uac00\uc9c0\uace0, 2\ubc88 \ub3d9\uc601\uc0c1\uacfc 4\ubc88 \ub3d9\uc601\uc0c1\uc774 USADO 4\ub97c \uac00\uc9c4\ub2e4\uace0 \ud588\ub2e4. \uc774\uac83\uc5d0 \uae30\ubc18\ud574\uc11c 1\ubc88 \ub3d9\uc601\uc0c1\uacfc 3\ubc88 \ub3d9\uc601\uc0c1\uc758 USADO\ub294 min(3,2)=2\uac00 \ub418\uace0, 1\ubc88 \ub3d9\uc601\uc0c1\uacfc 4\ubc88 \ub3d9\uc601\uc0c1\uc758 USADO\ub294 min(3,4)=3\uc774 \ub418\uace0, 3\ubc88 \ub3d9\uc601\uc0c1\uacfc 4\ubc88 \ub3c4\uc601\uc0c1\uc758 USADO\ub294 min(2,4)=2\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub18d\ubd80 \uc874\uc740 K=1\uc77c \ub54c 2\ubc88 \ub3d9\uc601\uc0c1, K=3\uc77c \ub54c 1\ubc88 \ub3d9\uc601\uc0c1, K=4\uc77c \ub54c 1\ubc88 \ub3d9\uc601\uc0c1\uc744 \ubcf4\uba74 \uac01\uac01 \uba87 \uac1c\uc758 \ub3d9\uc601\uc0c1\uc774 \ucd94\ucc9c\ub420\uae4c \uad81\uae08\ud574\ud558\uace0 \uc788\ub2e4. K=1\uc77c \ub54c 2\ubc88 \ub3d9\uc601\uc0c1\uc5d0\uc11c \ucd94\ucc9c\ub418\ub294 \ub3d9\uc601\uc0c1\uc740 1, 3, 4\ubc88 \ub3d9\uc601\uc0c1\uc774\ub2e4. K=4\uc77c \ub54c 1\ubc88 \ub3d9\uc601\uc0c1\uc73c\ub85c\ubd80\ud130 \ucd94\ucc9c\ub418\ub294 \ub3d9\uc601\uc0c1\uc740 \uc5c6\ub2e4. \uadf8\ub7ec\ub098 K=3\uc77c\ub54c\ub294 1\ubc88 \ub3d9\uc601\uc0c1\uc5d0\uc11c 2\ubc88 \ub3d9\uc601\uc0c1\uacfc 3\ubc88 \ub3d9\uc601\uc0c1\uc774 \ucd94\ucc9c\ub41c\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"15586","problem_lang":"1","title":"MooTube (Gold)","description":"<p>In his spare time, Farmer John has created a new video-sharing service, which he names MooTube. On MooTube, Farmer John&#39;s cows can record, share, and discover many amusing videos. His cows already have posted $N$ videos ($1 \\leq N \\leq 100,000$), conveniently numbered $1 \\ldots N$. However, FJ can&#39;t quite figure out how to help his cows find new videos they might like.<\/p>\r\n\r\n<p>FJ wants to create a list of &quot;suggested videos&quot; for every MooTube video. This way, cows will be recommended the videos most relevant to the ones they already watch.<\/p>\r\n\r\n<p>FJ devises a metric of &quot;relevance,&quot; which determines, as the name suggests, how relevant two videos are to each other. He picks $N-1$ pairs of videos and manually computes their pairwise relevance. Then, FJ visualizes his videos as a network, where each video is a node and the $N-1$ pairs of videos he manually considered are connected. Conveniently, FJ has picked his $N-1$ pairs so that any video can be reached from any other video along a path of connections in exactly one way. FJ decides that the relevance of any pair of videos should be defined as the minimum relevance of any connection along this path.<\/p>\r\n\r\n<p>Farmer John wants to pick a value $K$ so that next to any given MooTube video, all other videos with relevance at least $K$ to that video will be suggested. However, FJ is worried that too many videos will be suggested to his cows, which could distract them from milk production! Therefore, he wants to carefully set an appropriate value of $K$. Farmer John would like your help answering a number of questions about the suggested videos for certain values of $K$.<\/p>\r\n","input":"<p>The first line of input contains $N$ and $Q$ ($1 \\leq Q \\leq 100,000$).<\/p>\r\n\r\n<p>The next $N-1$ lines each describe a pair of videos FJ manually compares. Each line includes three integers $p_i$, $q_i$, and $r_i$ ($1 \\leq p_i, q_i \\leq N, 1 \\leq r_i \\leq 1,000,000,000$), indicating that videos $p_i$ and $q_i$ are connected with relevance $r_i$.<\/p>\r\n\r\n<p>The next $Q$ lines describe Farmer John&#39;s $Q$ questions. Each line contains two integers, $k_i$ and $v_i$ ($1 \\leq k_i \\leq 1,000,000,000, 1 \\leq v_i \\leq N$), indicating that FJ&#39;s $i$th question asks how many videos will be suggested to viewers of video $v_i$ if $K = k_i$.<\/p>\r\n","output":"<p>Output $Q$ lines. On line $i$, output the answer to FJ&#39;s $i$th question.<\/p>\r\n","hint":"<p>Farmer John finds that videos one and two have relevance three, that videos two and three have relevance two, and that videos two and four have relevance four. Based on this, videos one and three have relevance min(3, 2) = 2, videos one and four have relevance min(3, 4) = 3, and videos three and four have relevance min(2, 4) = 2.<\/p>\r\n\r\n<p>Farmer John wants to know how many videos will be suggested from video two if $K=1$, from video one if $K=3$, and from video one if $K=4$. We see that with $K=1$, videos 1, 3, and 4 will be suggested on video two. With $K=4$, no videos will be suggested from video one. With $K=3$, however, videos 2 and 4 will be suggested from video one.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]