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2 초 256 MB76420714331.567%

문제

준수는 생일선물을 맞아 새로운 공기총을 샀다. 그리고 공기총의 성능을 시험해보기 위해 맥주캔을 쌓았다.

맥주캔은 총 검은색, 회색, 흰색으로 총 3가지 종류가 있다. 그리고 이를 N개의 열에 따라 쌓아올렸다. 쌓아올릴 때 순서는 아래에서부터 검은색, 회색, 흰색 순서이다. 한 열에 어느 색이 모두 없을 수는 있지만 색깔 순서를 위배하는 경우는 없다.

이렇게 맥주캔을 쌓아올린 뒤 준수는 높이를 정하고 공기총을 발사했다. 이 공기총은 성능이 뛰어나기에 한 높이를 쏘면 그 높이의 모든 캔은 모두 바깥으로 떨어지고 위쪽의 캔이 쓰러지지 않은 그대로 내려온다.

준수는 성능 시험을 위해 각 높이를 쏘았을 때 점수를 구하려고 한다. 점수 구하는 법은 검은색은 1점, 회색은 2점, 흰색은 5점이고, 바깥으로 떨어진 캔 점수의 총 합이다.

위 그림은 초기에 맥주캔을 쌓은 상태이다. 여기서 2번 높이를 총으로 쏜다면 아래와 같이 된다.

검은색이 3개, 회색이 2개, 흰색이 1개 쓰러졌기 때문에 12점을 얻게 된다. 이 상태에서 4번 높이에 총을 쏘면 아래와 같이 되고, 7점을 얻는다.

캔을 쌓은 정보와 쏘는 높이를 순서대로 알고있을 때, 각 높이를 쏠 때 얻어지는 점수를 구해보자.

입력

첫째 줄에 열의 개수 N(1 ≤ N ≤ 300,000)이 주어진다. 두 번째 줄에는 각 열에 쌓인 검은색의 개수를 나타내는 N개의 정수가 주어진다. 세 번째 줄에는 각 열에 쌓인 회색의 개수를 나타내는 N개의 정수가 주어진다. 네 번째 줄에는 각 열에 쌓인 흰색의 개수를 나타내는 N개의 정수가 주어진다. 모든 수는 106이하인 음이 아닌 정수이다. 다음 줄에는 준수가 쏘는 횟수 M(1 ≤ M ≤ 300,000)이 주어진다. 다음 줄에는 차례대로 준수가 쏘는 높이를 나타내는 M개의 정수가 입력된다.

출력

첫째 줄부터 M번째 줄까지 해당 높이를 쐈을 때 얻게되는 점수를 한 줄에 하나씩 출력한다.

예제 입력 1

6
2 1 2 0 3 1
1 2 2 2 2 0
1 0 1 2 0 3
2
2 4

예제 출력 1

12
7

예제 입력 2

10
2 2 2 2 2 2 2 2 2 2
3 3 3 3 3 3 3 3 3 3
4 4 4 4 4 4 4 4 4 4
6
3 3 2 3 4 3

예제 출력 2

20
20
10
50
50
50
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height: 100px;\" \/><\/p>\r\n\r\n<p>\uc704 \uadf8\ub9bc\uc740 \ucd08\uae30\uc5d0 \ub9e5\uc8fc\uce94\uc744 \uc313\uc740 \uc0c1\ud0dc\uc774\ub2e4.&nbsp;\uc5ec\uae30\uc11c&nbsp;2\ubc88 \ub192\uc774\ub97c \ucd1d\uc73c\ub85c \uc3dc\ub2e4\uba74 \uc544\ub798\uc640 \uac19\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/3b3c6928-a273-434a-9e91-b828c5415087\/-\/preview\/\" style=\"width: 133px; height: 80px;\" \/><\/p>\r\n\r\n<p>\uac80\uc740\uc0c9\uc774 3\uac1c, \ud68c\uc0c9\uc774 2\uac1c, \ud770\uc0c9\uc774 1\uac1c \uc4f0\ub7ec\uc84c\uae30 \ub54c\ubb38\uc5d0&nbsp;12\uc810\uc744 \uc5bb\uac8c \ub41c\ub2e4. \uc774 \uc0c1\ud0dc\uc5d0\uc11c 4\ubc88 \ub192\uc774\uc5d0 \ucd1d\uc744 \uc3d8\uba74 \uc544\ub798\uc640 \uac19\uc774 \ub418\uace0, 7\uc810\uc744 \uc5bb\ub294\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/521c64b8-99d0-4f02-bd6c-3ef6e1b172a0\/-\/preview\/\" style=\"width: 133px; height: 60px;\" \/><\/p>\r\n\r\n<p>\uce94\uc744 \uc313\uc740 \uc815\ubcf4\uc640 \uc3d8\ub294 \ub192\uc774\ub97c \uc21c\uc11c\ub300\ub85c \uc54c\uace0\uc788\uc744 \ub54c, \uac01 \ub192\uc774\ub97c \uc3e0 \ub54c \uc5bb\uc5b4\uc9c0\ub294 \uc810\uc218\ub97c \uad6c\ud574\ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc5f4\uc758 \uac1c\uc218 N(1 &le; N &le; 300,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 \uac01 \uc5f4\uc5d0 \uc313\uc778 \uac80\uc740\uc0c9\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 N\uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc138 \ubc88\uc9f8 \uc904\uc5d0\ub294 \uac01 \uc5f4\uc5d0 \uc313\uc778 \ud68c\uc0c9\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 N\uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub124 \ubc88\uc9f8 \uc904\uc5d0\ub294 \uac01 \uc5f4\uc5d0 \uc313\uc778 \ud770\uc0c9\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 N\uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uc218\ub294 10<sup>6<\/sup>\uc774\ud558\uc778 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \uc900\uc218\uac00 \uc3d8\ub294 \ud69f\uc218 M(1 &le; M &le; 300,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \ucc28\ub840\ub300\ub85c \uc900\uc218\uac00 \uc3d8\ub294 \ub192\uc774\ub97c \ub098\ud0c0\ub0b4\ub294 M\uac1c\uc758 \uc815\uc218\uac00 \uc785\ub825\ub41c\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\ubd80\ud130 M\ubc88\uc9f8 \uc904\uae4c\uc9c0 \ud574\ub2f9 \ub192\uc774\ub97c \uc408\uc744 \ub54c \uc5bb\uac8c\ub418\ub294 \uc810\uc218\ub97c \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"1273","problem_lang":"1","title":"KONZERVE","description":"<p>Mirko got a brand new air rifle for his birthday. To test its destructive power, he took cans of beans from his closet and rushed to the nearest playground.&nbsp;<\/p>\r\n\r\n<p>He noted that there were three types of cans &ndash; black, white and grey, each containing different sorts of beans. Mirko lined up his cans in N columns, one behind another, so that the black cans are on the bottom of each column, grey cans are in the middle, with white cans on top. The columns may vary in height and not all columns need to contain cans of all three colours. However, the colours in a single column must be ordered as described.&nbsp;<\/p>\r\n\r\n<p>After arranging the cans, Mirko fires M bullets from his air rifle horizontally, each one at some height. The rifle is very powerful so the pellet, after shattering the first can at that height, continues flying in the same direction and destroys any cans at that height. After the bullet smashes a can, any cans that were on top of it fall down. The height of a shot is an integer; a shot at height 1 hits all cans lying on the ground, a shot at height 2 hits all cans immediately above those etc.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/shot.png\" style=\"height:181px; width:636px\" \/><\/p>\r\n\r\n<p>In his game, Mirko awards himself 1 point for each black can shattered, 2 for each grey can, and 5 for each white can.&nbsp;<\/p>\r\n\r\n<p>Write a program that, given the layout of the cans in columns and the heights of the shots in order, calculates the number of points received for each shot.&nbsp;<\/p>\r\n","input":"<p>The first line contains an integer N (1 &le; N &le; 300000), the number of columns.&nbsp;<\/p>\r\n\r\n<p>The second line contains N non-negative integers, the number of black cans in each column.&nbsp;<\/p>\r\n\r\n<p>The third line contains N non-negative integers, the number of grey cans in each column.&nbsp;<\/p>\r\n\r\n<p>As one might imagine, the fourth line also contains N non-negative integers, the number of white cans in each column.&nbsp;<\/p>\r\n\r\n<p>All numbers will be less than 10<sup>6<\/sup>.<\/p>\r\n\r\n<p>The fifth line contains an integer M (1 &le; M &le; 300000), the number of shots.&nbsp;<\/p>\r\n\r\n<p>The sixth line contains M positive integers, the heights at which the shots are fired, in the order in which Mirko fires them. Each height will be less than 10<sup>6<\/sup>.<\/p>\r\n","output":"<p>Output consists of exactly M lines, the number of points Mirko is awarded for each shot, in order in which he fires them.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > Croatian Highschool Competitions in Informatics > 2008 > Final Exam #1 1번