시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 15 0 0 0.000%

문제

선영이는 테트리스 같은 게임을 하고 있다.

게임은 비어있는 세 열에서 시작한다. 게임이 진행되는 동안 글자가 하나씩 화면의 가장 위에 보여진다. 글자가 보여지면, 선영이는 세 열중 하나를 선택한다. 선택한 열이 비어있다면, 그 열의 가장 아래에 글자를 놓고, 비어있지 않다면, 그 열의 가장 위에 있는 단어의 위에 글자를 놓는다.

게임이 끝난 후에 선영이가 얻은 점수는 각 열의 점수의 합이다. 각 열의 점수는 다음과 같이 계산할 수 있다.

먼저, 동일한 단어로 이루어진 그룹을 모두 찾는다.

예를 들어, 어떤 열의 글자가 아래 그림과 같다고 하자.

위의 그림에는 총 4개의 그룹이 있다. 그 다음, 각 그룹의 크기(포함되어 있는 글자의 개수)에 따라서 점수를 계산하면 된다.

예를 들어, 크기가 1인 그룹은 3점, 2인 그룹은 7점, 3인 그룹은 5점이라고 한다면, 위의 그림은 5+3+5+7=20점이 된다.

각 그룹의 점수와 화면의 가장 위에 보여지는 글자가 순서대로 주어진다. 이 때, 선영이가 테트리스 같은 게임에서 얻을 수 있는 가장 높은 점수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 다섯 개의 정수 B1, B2, B3, B4, B5가 주어진다. i=1,2,3,4인 경우에 Bi는 글자 i개로 이루어진 그룹의 점수이고, B5는 글자 5개 또는 그 이상으로 이루어진 그룹의 점수이다. 이 다섯 정수는 100보다 작거나 같다.

둘째 줄에는 화면에 보여지는 글자의 개수 N이 주어진다. (1 ≤ N ≤ 1000)

셋째 줄에는 화면에 보여지는 글자 N개가 순서대로 주어진다. 글자는 알파벳 대문자이다.

출력

첫째 줄에 선영이가 얻을 수 있는 가장 높은 점수를 출력한다.

예제 입력 1

3 3 10 3 3
17
AAABBCCCAAACBAAAB

예제 출력 1

56

힌트

예제의 경우에 아래와 같이 쌓으면 가장 높은 점수를 얻을 수 있다.

|   | 
|A  | 
|A  | 
|A  | 
|B  | 
|A  | 
|A  | 
|A  | 
|C  | 
|ABC| 
|ABC| 
|ABC| 
+---+
[{"problem_id":"3169","problem_lang":"0","title":"\ud14c\ud2b8\ub9ac\uc2a4 \uac19\uc740 \uac8c\uc784","description":"<p>\uc120\uc601\uc774\ub294 \ud14c\ud2b8\ub9ac\uc2a4 \uac19\uc740 \uac8c\uc784\uc744 \ud558\uace0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac8c\uc784\uc740 \ube44\uc5b4\uc788\ub294 \uc138 \uc5f4\uc5d0\uc11c \uc2dc\uc791\ud55c\ub2e4. \uac8c\uc784\uc774 \uc9c4\ud589\ub418\ub294 \ub3d9\uc548 \uae00\uc790\uac00 \ud558\ub098\uc529 \ud654\uba74\uc758 \uac00\uc7a5 \uc704\uc5d0 \ubcf4\uc5ec\uc9c4\ub2e4. \uae00\uc790\uac00 \ubcf4\uc5ec\uc9c0\uba74, \uc120\uc601\uc774\ub294 \uc138 \uc5f4\uc911 \ud558\ub098\ub97c \uc120\ud0dd\ud55c\ub2e4. \uc120\ud0dd\ud55c \uc5f4\uc774 \ube44\uc5b4\uc788\ub2e4\uba74, \uadf8 \uc5f4\uc758 \uac00\uc7a5 \uc544\ub798\uc5d0 \uae00\uc790\ub97c \ub193\uace0, \ube44\uc5b4\uc788\uc9c0 \uc54a\ub2e4\uba74, \uadf8 \uc5f4\uc758 \uac00\uc7a5 \uc704\uc5d0 \uc788\ub294 \ub2e8\uc5b4\uc758 \uc704\uc5d0 \uae00\uc790\ub97c \ub193\ub294\ub2e4.<\/p>\r\n\r\n<p>\uac8c\uc784\uc774 \ub05d\ub09c \ud6c4\uc5d0 \uc120\uc601\uc774\uac00 \uc5bb\uc740 \uc810\uc218\ub294 \uac01 \uc5f4\uc758 \uc810\uc218\uc758 \ud569\uc774\ub2e4. \uac01 \uc5f4\uc758 \uc810\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uba3c\uc800, \ub3d9\uc77c\ud55c \ub2e8\uc5b4\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uadf8\ub8f9\uc744 \ubaa8\ub450 \ucc3e\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \uc5b4\ub5a4 \uc5f4\uc758 \uae00\uc790\uac00 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\ub2e4\uace0 \ud558\uc790.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/tetlike.png\" style=\"height:148px; width:208px\" \/><\/p>\r\n\r\n<p>\uc704\uc758 \uadf8\ub9bc\uc5d0\ub294 \ucd1d 4\uac1c\uc758 \uadf8\ub8f9\uc774 \uc788\ub2e4. \uadf8 \ub2e4\uc74c, \uac01 \uadf8\ub8f9\uc758 \ud06c\uae30(\ud3ec\ud568\ub418\uc5b4 \uc788\ub294 \uae00\uc790\uc758 \uac1c\uc218)\uc5d0 \ub530\ub77c\uc11c \uc810\uc218\ub97c \uacc4\uc0b0\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \ud06c\uae30\uac00 1\uc778 \uadf8\ub8f9\uc740 3\uc810, 2\uc778 \uadf8\ub8f9\uc740 7\uc810, 3\uc778 \uadf8\ub8f9\uc740 5\uc810\uc774\ub77c\uace0 \ud55c\ub2e4\uba74, \uc704\uc758 \uadf8\ub9bc\uc740 5+3+5+7=20\uc810\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \uadf8\ub8f9\uc758 \uc810\uc218\uc640 \ud654\uba74\uc758 \uac00\uc7a5 \uc704\uc5d0 \ubcf4\uc5ec\uc9c0\ub294 \uae00\uc790\uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \ub54c, \uc120\uc601\uc774\uac00 \ud14c\ud2b8\ub9ac\uc2a4 \uac19\uc740 \uac8c\uc784\uc5d0\uc11c \uc5bb\uc744 \uc218 \uc788\ub294 \uac00\uc7a5 \ub192\uc740 \uc810\uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub2e4\uc12f \uac1c\uc758 \uc815\uc218 B<sub>1<\/sub>, B<sub>2<\/sub>, B<sub>3<\/sub>, B<sub>4<\/sub>, B<sub>5<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. i=1,2,3,4\uc778 \uacbd\uc6b0\uc5d0 B<sub>i<\/sub>\ub294 \uae00\uc790 i\uac1c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uadf8\ub8f9\uc758 \uc810\uc218\uc774\uace0, B<sub>5<\/sub>\ub294 \uae00\uc790 5\uac1c \ub610\ub294 \uadf8 \uc774\uc0c1\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uadf8\ub8f9\uc758 \uc810\uc218\uc774\ub2e4. \uc774 \ub2e4\uc12f \uc815\uc218\ub294 100\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \ud654\uba74\uc5d0 \ubcf4\uc5ec\uc9c0\ub294 \uae00\uc790\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 1000)<\/p>\r\n\r\n<p>\uc14b\uc9f8 \uc904\uc5d0\ub294 \ud654\uba74\uc5d0 \ubcf4\uc5ec\uc9c0\ub294 \uae00\uc790 N\uac1c\uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uae00\uc790\ub294 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc120\uc601\uc774\uac00 \uc5bb\uc744 \uc218 \uc788\ub294 \uac00\uc7a5 \ub192\uc740 \uc810\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uc608\uc81c\uc758 \uacbd\uc6b0\uc5d0 \uc544\ub798\uc640 \uac19\uc774 \uc313\uc73c\uba74 \uac00\uc7a5 \ub192\uc740 \uc810\uc218\ub97c \uc5bb\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<pre>|   | \r\n|A  | \r\n|A  | \r\n|A  | \r\n|B  | \r\n|A  | \r\n|A  | \r\n|A  | \r\n|C  | \r\n|ABC| \r\n|ABC| \r\n|ABC| \r\n+---+<\/pre>","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3169","problem_lang":"1","title":"kockice","description":"<p>Little Luka is playing an interesting tetris-like game.&nbsp;<\/p>\r\n\r\n<p>In the beginning of the game, there are three empty columns on the screen. During the game, letters appear on the top of the screen. When a letter appears, Luka chooses one of the columns and puts this letter on top of the topmost letter in that column, or on the bottom if that column is empty.&nbsp;<\/p>\r\n\r\n<p>When the game is over, we define the total number of points that Luka gets as sum of the points for each column. The number of points for a column is calculated in the following way: we first find groups of identical consecutive letters (borders between two groups are between different letters).&nbsp;<\/p>\r\n\r\n<p>For example, if the letters in some column are:&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/tetlike.png\" style=\"height:148px; width:208px\" \/><\/p>\r\n\r\n<p>then this column consists of 4 groups. Now, for each of the groups, we get some number of points that depends only on the number of letters in that group.&nbsp;<\/p>\r\n\r\n<p>For example, if we get 3 points for the groups with size 1, 7 points for the groups with size 2, and 5 points for the groups with size 3, then the number of points for the example column would be 5+3+5+7=20.&nbsp;<\/p>\r\n\r\n<p>Write a program that, given a sequence of letters and the assignment of scores to group sizes, finds the maximum number of points that Luka can get in this game.<\/p>\r\n","input":"<p>The first line of input contains five integers B<sub>1<\/sub>, B<sub>2<\/sub>, B<sub>3<\/sub>, B<sub>4<\/sub>, and B<sub>5<\/sub>. For i=1,2,3,4 the number B<sub>i<\/sub> is the number of points for groups consisting of i letters and the number B<sub>5<\/sub> is the number of points for groups of 5 or more letters. Each of these 5 numbers will be less than or equal to 100.&nbsp;<\/p>\r\n\r\n<p>The second line contains an integer N, 1 &le; N &le; 1000 &ndash; the number of letters appearing.&nbsp;<\/p>\r\n\r\n<p>The third line contains a sequence of N uppercase letters of the English alphabet (&#39;A&#39;-&#39;Z&#39;), in the order in which they appear on the top of the screen during the game.&nbsp;<\/p>\r\n","output":"<p>The first and only line of output should contain a single integer &ndash; the maximum number of points from the task description.&nbsp;<\/p>\r\n","hint":"<pre>\r\n|   | \r\n|A  | \r\n|A  | \r\n|A  | \r\n|B  | \r\n|A  | \r\n|A  | \r\n|A  | \r\n|C  | \r\n|ABC| \r\n|ABC| \r\n|ABC| \r\n+---+<\/pre>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]