시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

개구리 왕눈이는 N개의 연꽃잎이 있는 연못에 살고 있다. 연꽃잎은 1부터 N까지 차례대로 번호가 매겨져 있다. 연못을 위에서 보면 연꽃잎의 위치를 2차원 평면 위의 점으로 나타낼 수 있다. 왕눈이는 축에 평행한 직선으로만, 또 양의 방향으로만 뛸 수 있다. 따라서 왕눈이가 (x1,y1)에서 (x2,y2)로 뛰기 위해서는 아래 두 조건 중 하나를 만족해야 한다.

  • x2 > x1 이고 y2 = y1
  • y2 > y1 이고 x2 = x1

왕눈이가 한 번 뛰는데는 K만큼의 힘이 든다. 만약 왕눈이의 힘이 K보다 작다면 더 이상 뛸 수 없다. 왕눈이는 처음에 1번 연꽃잎에 있고, N번 연꽃잎으로 이동하려고 한다. 맨 처음에 왕눈이가 가진 힘은 0이다.

각 연꽃잎에는 파리가 산다. 왕눈이는 연꽃잎에 사는 파리를 먹을 수 있다. 1마리의 파리를 먹을 때 마다 왕눈이는 1의 힘을 회복한다. 처음에 왕눈이의 힘이 0이므로 왕눈이가 뛰기 위해서는 1번 연꽃잎에 사는 파리를 먹어 힘을 얻어야 한다는 점에 주의하자.

당신은 왕눈이가 도착하고 난 뒤 가질 수 있는 힘의 최댓값을 구해야 한다. 더불어, 연꽃잎 사이를 이동하는 경로를 출력하는 프로그램 또한 작성해야 한다.

입력

첫 줄에 연꽃잎의 수 N과 한 번 이동하는데 필요한 힘 K가 주어진다. (2 ≤ N ≤ 300 000, 1 ≤ K ≤ 1000)

다음 N개의 줄에 걸쳐 각 연꽃잎의 좌표 X, Y와 파리의 양 F가 차례대로 주어진다. i+1번째 줄에 주어지는 좌표와 파리의 양은 i번 연꽃잎에 관한 정보이다. 연꽃잎의 좌표는 서로 다르다. (0 ≤ X, Y ≤ 100 000, 0 ≤ F ≤ 1000)

입력은 항상 답이 존재하도록 주어진다.

출력

첫 줄에 N번 연꽃잎에 도착 한 뒤 최대 힘의 양을 출력한다.

두 번째 줄에는 1번 연꽃잎과 N번 연꽃잎을 포함하여 방문한 연꽃잎의 수 L을 출력한다.

다음 L개의 줄에 방문한 연꽃잎의 좌표들을 차례대로 출력한다.

만약, 가능한 답이 여러 가지인 경우 그 중 아무거나 하나 출력한다.

예제 입력 1

6 5
1 1 5
2 1 5
1 2 4
2 3 5
3 2 30
3 3 5

예제 출력 1

5
4
1 1
2 1
2 3
3 3

예제 입력 2

8 10
1 1 15
2 2 30
1 2 8
2 1 7
3 2 8
2 3 7
4 2 100
3 3 15

예제 출력 2

36
5
1 1
1 2
2 2
3 2
3 3

예제 입력 3

9 5
5 5 10
6 5 2
7 5 1
5 6 2
6 6 6
7 6 2
5 7 1
6 7 2
7 7 1

예제 출력 3

2
3
5 5
7 5
7 7
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(2 &le; N &le; 300 000, 1 &le; K &le; 1000)<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \uac01 \uc5f0\uaf43\uc78e\uc758 \uc88c\ud45c X, Y\uc640 \ud30c\ub9ac\uc758 \uc591 F\uac00 \ucc28\ub840\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. i+1\ubc88\uc9f8 \uc904\uc5d0 \uc8fc\uc5b4\uc9c0\ub294 \uc88c\ud45c\uc640 \ud30c\ub9ac\uc758 \uc591\uc740 i\ubc88 \uc5f0\uaf43\uc78e\uc5d0 \uad00\ud55c \uc815\ubcf4\uc774\ub2e4. \uc5f0\uaf43\uc78e\uc758 \uc88c\ud45c\ub294 \uc11c\ub85c \ub2e4\ub974\ub2e4. (0 &le; X, Y &le; 100 000, 0 &le; F &le; 1000)<\/p>\r\n\r\n<p>\uc785\ub825\uc740 \ud56d\uc0c1 \ub2f5\uc774 \uc874\uc7ac\ud558\ub3c4\ub85d \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab \uc904\uc5d0 N\ubc88 \uc5f0\uaf43\uc78e\uc5d0 \ub3c4\ucc29 \ud55c \ub4a4 \ucd5c\ub300 \ud798\uc758 \uc591\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 1\ubc88 \uc5f0\uaf43\uc78e\uacfc N\ubc88 \uc5f0\uaf43\uc78e\uc744 \ud3ec\ud568\ud558\uc5ec \ubc29\ubb38\ud55c \uc5f0\uaf43\uc78e\uc758 \uc218 L\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c L\uac1c\uc758 \uc904\uc5d0 \ubc29\ubb38\ud55c \uc5f0\uaf43\uc78e\uc758 \uc88c\ud45c\ub4e4\uc744 \ucc28\ub840\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \uac00\ub2a5\ud55c \ub2f5\uc774 \uc5ec\ub7ec \uac00\uc9c0\uc778 \uacbd\uc6b0 \uadf8 \uc911 \uc544\ubb34\uac70\ub098 \ud558\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2989","problem_lang":"1","title":"BARICA","description":"<p>Barica is an unusual frog. She lives in a pond where N plants float on the surface of the water. The plants are numbered 1 through N. When viewing from above, the location of each plant is given by a pair of coordinates. What makes Barica unusual is her fear of jumping diagonally and in the negative direction. More precisely, she can jump from a plant at coordinates (x<sub>1<\/sub>, y<sub>1<\/sub>) to another at coordinates (x<sub>2<\/sub>, y<sub>2<\/sub>) only if:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>x<sub>2<\/sub> &gt; x<sub>1<\/sub> and y<sub>2<\/sub> = y<sub>1<\/sub>, or&nbsp;<\/li>\r\n\t<li>y<sub>2<\/sub> &gt; y<sub>1<\/sub> and x<sub>2<\/sub> = x<sub>1<\/sub><\/li>\r\n<\/ul>\r\n\r\n<p>For each plant, we know the number of flies in its immediate vicinity. Barica can use her swift tongue to eat all flies near the plant she is at.&nbsp;<\/p>\r\n\r\n<p>Barica absorbs one energy unit for each fly she eats, and uses K energy units for each jump she makes. 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Barica initially has no energy and must gather energy for her first jump from the flies around plant 1.&nbsp;<\/p>\r\n\r\n<p>Find the sequence of plants Barica should travel to achieve her goal.&nbsp;<\/p>\r\n","input":"<p>The first line of input contains two integers N and K (2 &le; N &le; 300 000, 1 &le; K &le; 1000) separated by a space.&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains three integers X, Y and F (0 &le; X, Y &le; 100 000, 0 &le; F &le; 1000) separated by spaces, meaning that there is a plant at coordinates (X, Y) with F flies around it.&nbsp;<\/p>\r\n\r\n<p>The first plant in the input is plant 1, the second is plant 2 etc.&nbsp;<\/p>\r\n\r\n<p>No two plants will share the same pair of coordinates.&nbsp;<\/p>\r\n\r\n<p>Note: The input data will guarantee that a sequence of jumps, although not necessarily unique, will always exist.&nbsp;<\/p>\r\n","output":"<p>Output the final energy level on the first line.&nbsp;<\/p>\r\n\r\n<p>Output an integer L, the number of plants Barica should travel, including plants 1 and N.&nbsp;<\/p>\r\n\r\n<p>On the following L lines, output the sequence of plants Barica should travel.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2007/2008 > Contest #5 5번