시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 43 12 11 26.190%

문제

상근이는 TGN에서 풍선을 잡는 게임을 만들고 있다. 이 게임은 사람들의 동심을 사로잡을 이차원 게임이다. 게임에서 풍선은 하나씩 땅으로 떨어진다. 플레이어는 로봇 자동차를 조종해서 땅으로 떨어지는 풍선을 잡는다. 플레이어는 로봇을 왼쪽이나 오른쪽으로 움직일 수 있고, 그 자리에 멈추어 있게 할 수도 있다. 한 풍선이 땅에 닿을 때 반드시 그 위치에 차량이 있어야 한다. 만약, 차량이 없다면, 풍선은 폭발하게 되고 게임은 끝난다.

게임의 목표는 모든 풍선을 왼족에 있는 집에 보관하는 것이다. 로봇은 풍선을 한 번에 3개까지 운반할 수 있다. 로봇의 이동속도는 운반하는 풍선의 개수에 따라서 달라진다. 로봇이 운반하고 있는 풍선이 k개(k=0, 1, 2, 3)라면, 한 칸 움직이는데 (k+1)초가 걸린다. 플레이어는 로봇이 움직이는 거리가 적을수록 더 높은 점수를 얻게 된다.

상근이는 플레이어가 얻을 수 있는 최고 점수를 계산해보려고 한다. 풍선이 떨어지는 위치와 시간이 주어졌을 때, 모든 풍선을 잡아서 집에 저장하기 위해서 로봇의 이동 회수의 최소값을 구하는 프로그램을 작성하시오. 로봇 자동차는 집에서 시작한다. 만약, 모든 풍선을 잡을 수 없는 경우에는 잡지못하는 첫 번째 풍선이 무엇인지 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스의 첫째 줄에는 풍선의 개수 n이 주어진다. (0 < n ≤ 40) 다음 n개 줄에는 풍선의 위치 pi와 풍선이 땅에 닿는 시간 ti가 공백으로 구분되어 주어진다. (0 < pi ≤ 100, 0 < ti ≤ 50000) 모든 i < j에 대해서 ti < tj이다. 또, 집의 위치는 0이고, 게임은 시간이 0일 때 시작한다.

로봇 자동차, 집, 풍선의 크기는 매우 작아서 무시할 수 있다. 로봇이 풍선을 잡는데 걸리는 시간과 집에 풍선을 보관하는데 걸리는 시간은 0이다. 또, 자동차는 명령을 받은 후 즉시 움직인다.

입력의 마지막 줄에는 0이 하나 주어진다.

출력

각 테스트 케이스에 대해서, 다음과 같이 두 가지 중 하나를 출력한다.

만약, 플레이어가 모든 풍선을 잡을 수 있다면, "OK"를 출력하고, 로봇이 풍선을 모두 잡고 보관하는데 필요한 최소 이동 회수를 출력한다. 플레이어가 모든 풍선을 잡을 수 없다면, "NG"를 출력하고, 플레이어가 잡을 수 없는 첫 번째 풍선의 번호를 출력한다.

예제 입력 1

2
10 100
100 270
2
10 100
100 280
3
100 150
10 360
40 450
3
100 150
10 360
40 440
2
100 10
50 200
2
100 100
50 110
1
15 10
4
1 10
2 20
3 100
90 200
0

예제 출력 1

OK 220
OK 200
OK 260
OK 280
NG 1
NG 2
NG 1
OK 188
[{"problem_id":"3866","problem_lang":"0","title":"\ud48d\uc120 \uc218\uc9d1","description":"<p>\r\n\t\uc0c1\uadfc\uc774\ub294 TGN\uc5d0\uc11c \ud48d\uc120\uc744 \uc7a1\ub294 \uac8c\uc784\uc744 \ub9cc\ub4e4\uace0 \uc788\ub2e4. \uc774 \uac8c\uc784\uc740 \uc0ac\ub78c\ub4e4\uc758 \ub3d9\uc2ec\uc744 \uc0ac\ub85c\uc7a1\uc744 \uc774\ucc28\uc6d0 \uac8c\uc784\uc774\ub2e4. \uac8c\uc784\uc5d0\uc11c \ud48d\uc120\uc740 \ud558\ub098\uc529 \ub545\uc73c\ub85c \ub5a8\uc5b4\uc9c4\ub2e4. \ud50c\ub808\uc774\uc5b4\ub294 \ub85c\ubd07 \uc790\ub3d9\ucc28\ub97c \uc870\uc885\ud574\uc11c \ub545\uc73c\ub85c \ub5a8\uc5b4\uc9c0\ub294 \ud48d\uc120\uc744 \uc7a1\ub294\ub2e4. \ud50c\ub808\uc774\uc5b4\ub294 \ub85c\ubd07\uc744 \uc67c\ucabd\uc774\ub098 \uc624\ub978\ucabd\uc73c\ub85c \uc6c0\uc9c1\uc77c \uc218 \uc788\uace0, \uadf8 \uc790\ub9ac\uc5d0 \uba48\ucd94\uc5b4 \uc788\uac8c \ud560 \uc218\ub3c4 \uc788\ub2e4. \ud55c \ud48d\uc120\uc774 \ub545\uc5d0 \ub2ff\uc744 \ub54c \ubc18\ub4dc\uc2dc \uadf8 \uc704\uce58\uc5d0 \ucc28\ub7c9\uc774 \uc788\uc5b4\uc57c \ud55c\ub2e4. \ub9cc\uc57d, \ucc28\ub7c9\uc774 \uc5c6\ub2e4\uba74, \ud48d\uc120\uc740 \ud3ed\ubc1c\ud558\uac8c \ub418\uace0 \uac8c\uc784\uc740 \ub05d\ub09c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/balloon.png\" style=\"width: 477px; height: 291px;\" \/><\/p>\r\n\r\n<p>\r\n\t\uac8c\uc784\uc758 \ubaa9\ud45c\ub294 \ubaa8\ub4e0 \ud48d\uc120\uc744 \uc67c\uc871\uc5d0 \uc788\ub294 \uc9d1\uc5d0 \ubcf4\uad00\ud558\ub294 \uac83\uc774\ub2e4. \ub85c\ubd07\uc740 \ud48d\uc120\uc744 \ud55c \ubc88\uc5d0 3\uac1c\uae4c\uc9c0 \uc6b4\ubc18\ud560 \uc218 \uc788\ub2e4. \ub85c\ubd07\uc758 \uc774\ub3d9\uc18d\ub3c4\ub294 \uc6b4\ubc18\ud558\ub294 \ud48d\uc120\uc758 \uac1c\uc218\uc5d0 \ub530\ub77c\uc11c \ub2ec\ub77c\uc9c4\ub2e4. \ub85c\ubd07\uc774 \uc6b4\ubc18\ud558\uace0 \uc788\ub294 \ud48d\uc120\uc774 k\uac1c(k=0, 1, 2, 3)\ub77c\uba74, \ud55c \uce78 \uc6c0\uc9c1\uc774\ub294\ub370 (k+1)\ucd08\uac00 \uac78\ub9b0\ub2e4. \ud50c\ub808\uc774\uc5b4\ub294 \ub85c\ubd07\uc774 \uc6c0\uc9c1\uc774\ub294 \uac70\ub9ac\uac00 \uc801\uc744\uc218\ub85d \ub354 \ub192\uc740 \uc810\uc218\ub97c \uc5bb\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc0c1\uadfc\uc774\ub294 \ud50c\ub808\uc774\uc5b4\uac00 \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\uace0 \uc810\uc218\ub97c \uacc4\uc0b0\ud574\ubcf4\ub824\uace0 \ud55c\ub2e4. \ud48d\uc120\uc774 \ub5a8\uc5b4\uc9c0\ub294 \uc704\uce58\uc640 \uc2dc\uac04\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ubaa8\ub4e0 \ud48d\uc120\uc744 \uc7a1\uc544\uc11c \uc9d1\uc5d0 \uc800\uc7a5\ud558\uae30 \uc704\ud574\uc11c \ub85c\ubd07\uc758 \uc774\ub3d9 \ud68c\uc218\uc758 \ucd5c\uc18c\uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ub85c\ubd07 \uc790\ub3d9\ucc28\ub294 \uc9d1\uc5d0\uc11c \uc2dc\uc791\ud55c\ub2e4. \ub9cc\uc57d, \ubaa8\ub4e0 \ud48d\uc120\uc744 \uc7a1\uc744 \uc218 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 \uc7a1\uc9c0\ubabb\ud558\ub294 \uccab \ubc88\uc9f8 \ud48d\uc120\uc774 \ubb34\uc5c7\uc778\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\r\n\t\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ud48d\uc120\uc758 \uac1c\uc218 n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &lt; n &le; 40) \ub2e4\uc74c n\uac1c \uc904\uc5d0\ub294 \ud48d\uc120\uc758 \uc704\uce58 p<sub>i<\/sub>\uc640 \ud48d\uc120\uc774 \ub545\uc5d0 \ub2ff\ub294 \uc2dc\uac04 t<sub>i<\/sub>\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &lt; p<sub>i<\/sub> &le; 100, 0 &lt; t<sub>i<\/sub> &le; 50000) \ubaa8\ub4e0 i &lt; j\uc5d0 \ub300\ud574\uc11c t<sub>i<\/sub> &lt; t<sub>j<\/sub>\uc774\ub2e4. \ub610, \uc9d1\uc758 \uc704\uce58\ub294 0\uc774\uace0, \uac8c\uc784\uc740 \uc2dc\uac04\uc774 0\uc77c \ub54c \uc2dc\uc791\ud55c\ub2e4.<\/p>\r\n<p>\r\n\t\ub85c\ubd07 \uc790\ub3d9\ucc28, \uc9d1, \ud48d\uc120\uc758 \ud06c\uae30\ub294 \ub9e4\uc6b0 \uc791\uc544\uc11c \ubb34\uc2dc\ud560 \uc218 \uc788\ub2e4. \ub85c\ubd07\uc774 \ud48d\uc120\uc744 \uc7a1\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uacfc \uc9d1\uc5d0 \ud48d\uc120\uc744 \ubcf4\uad00\ud558\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 0\uc774\ub2e4. \ub610, \uc790\ub3d9\ucc28\ub294 \uba85\ub839\uc744 \ubc1b\uc740 \ud6c4 \uc989\uc2dc \uc6c0\uc9c1\uc778\ub2e4.<\/p>\r\n<p>\r\n\t\uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 0\uc774 \ud558\ub098 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\r\n\t\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \ub2e4\uc74c\uacfc \uac19\uc774 \ub450 \uac00\uc9c0 \uc911 \ud558\ub098\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub9cc\uc57d, \ud50c\ub808\uc774\uc5b4\uac00 \ubaa8\ub4e0 \ud48d\uc120\uc744 \uc7a1\uc744 \uc218 \uc788\ub2e4\uba74, &quot;OK&quot;\ub97c \ucd9c\ub825\ud558\uace0, \ub85c\ubd07\uc774 \ud48d\uc120\uc744 \ubaa8\ub450 \uc7a1\uace0 \ubcf4\uad00\ud558\ub294\ub370 \ud544\uc694\ud55c \ucd5c\uc18c \uc774\ub3d9 \ud68c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \ud50c\ub808\uc774\uc5b4\uac00 \ubaa8\ub4e0 \ud48d\uc120\uc744 \uc7a1\uc744 \uc218 \uc5c6\ub2e4\uba74, &quot;NG&quot;\ub97c \ucd9c\ub825\ud558\uace0, \ud50c\ub808\uc774\uc5b4\uac00 \uc7a1\uc744 \uc218 \uc5c6\ub294 \uccab \ubc88\uc9f8 \ud48d\uc120\uc758 \ubc88\ud638\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3866","problem_lang":"1","title":"Balloon Collecting","description":"<p>&ldquo;Balloons should be captured e\ufb03ciently&rdquo;, the game designer says. He is designing an oldfashioned game with two dimensional graphics. In the game, balloons fall onto the ground one after another, and the player manipulates a robot vehicle on the ground to capture the balloons. The player can control the vehicle to move left or right, or simply stay. When one of the balloons reaches the ground, the vehicle and the balloon must reside at the same position, otherwise the balloon will burst and the game ends.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/balloon.png\" style=\"height:291px; width:477px\" \/><\/p>\r\n\r\n<p>Figure B.1: Robot vehicle and falling balloons<\/p>\r\n\r\n<p>The goal of the game is to store all the balloons into the house at the left end on the game field. The vehicle can carry at most three balloons at a time, but its speed changes according to the number of the carrying balloons. When the vehicle carries k balloons (k = 0, 1, 2, 3), it takes k+1 units of time to move one unit distance. The player will get higher score when the total moving distance of the vehicle is shorter.<\/p>\r\n\r\n<p>Your mission is to help the game designer check game data consisting of a set of balloons. Given a landing position (as the distance from the house) and a landing time of each balloon, you must judge whether a player can capture all the balloons, and answer the minimum moving distance needed to capture and store all the balloons. The vehicle starts from the house. If the player cannot capture all the balloons, you must identify the first balloon that the player cannot capture.<\/p>\r\n","input":"<p>The input is a sequence of datasets. Each dataset is formatted as follows.<\/p>\r\n\r\n<pre>\r\nn\r\np<sub>1<\/sub> t<sub>1<\/sub>\r\n.\r\n..\r\np<sub>n<\/sub> t<sub>n<\/sub><\/pre>\r\n\r\n<p>The first line contains an integer n, which represents the number of balloons (0 &lt; n &le; 40). Each of the following n lines contains two integers pi and t<sub>i<\/sub> (1 &le; i &le; n) separated by a space. p<sub>i<\/sub> and t<sub>i<\/sub> represent the position and the time when the i-th balloon reaches the ground (0 &lt; p<sub>i<\/sub> &le; 100, 0 &lt; t<sub>i<\/sub> &le; 50000). You can assume t<sub>i<\/sub> &lt; t<sub>j<\/sub> for i &lt; j. The position of the house is 0, and the gamestarts from the time 0.<\/p>\r\n\r\n<p>The sizes of the vehicle, the house, and the balloons are small enough, and should be ignored. The vehicle needs 0 time for catching the balloons or storing them into the house. The vehicle can start moving immediately after these operations.<\/p>\r\n\r\n<p>The end of the input is indicated by a line containing a zero.<\/p>\r\n","output":"<p>For each dataset, output one word and one integer in a line separated by a space. No extra characters should occur in the output.<\/p>\r\n\r\n<ul>\r\n\t<li>If the player can capture all the balloons, output &ldquo;OK&rdquo; and an integer that represents the minimum moving distance of the vehicle to capture and store all the balloons.<\/li>\r\n\t<li>If it is impossible for the player to capture all the balloons, output &ldquo;NG&rdquo; and an integer k such that the k-th balloon in the dataset is the \ufb01rst balloon that the player cannot capture.<\/li>\r\n<\/ul>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]