시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 57 27 26 57.778%

문제

가위 바위 보는 두 사람이 즐기는 유명한 게임이다. 각 플레이어는 자신의 손을 이용해서 가위, 바위, 보 중 한 모양을 만들어야 한다. 두 플레이어가 같은 모양을 만든 경우에는 비기게 된다. 가위는 보를 이기고, 보는 바위, 바위는 가위를 이긴다.

상근이는 사람들의 심리를 수십년동안 연구한 결과 가위 바위 보를 한국에서 가장 잘 하는 사람이 되었다. 상근이는 일대일 가위 바위 보를 절대로 지지 않는다.

한국에 적수가 없다고 판단한 상근이는 세계 대회에 나가기로 했다. 요즘 상근이는 세계 대회를 대비해 훈련중이다. 훈련은 친구 N명과 동시에 한다. 가위바위보는 총 R개의 라운드로 이루어져 있고, 각 라운드마다 상근이와 친구들은 세 모양중 하나를 만들어야 한다.

각 라운드의 점수 계산은 상근이와 친구 개개인을 독립적으로 비교한다. 상근이가 이기면 2점, 비기면 1점, 지면 0점이다. 

상근이와 친구들이 각 라운드에 낸 모양이 주어졌을 때, 게임이 끝나고 난 후 상근이의 점수를 구한다. 그 다음, 상근이가 친구들이 무엇을 낼지 미리 알고있었다고 가정할 때, 상근이가 얻을 수 있는 최고 점수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 라운드 수 R (1 ≤ R ≤ 50)이 주어진다.

둘째 줄에는 상근이가 각 라운드에 낸 모양이 주어진다. S는 가위, P는 보, R은 바위이다.

셋째 줄에는 친구의 수 N (1 ≤ N ≤ 50)이 주어진다.

다음 N개 줄에는 상근이의 친구들이 각 라운드에 낸 모양이 주어지며, 한 줄에 한 명씩 주어진다.

출력

첫째 줄에 상근이의 점수를 출력한다.

둘째 줄에는 상근이가 얻을 수 있는 최대 점수를 출력한다.

예제 입력 1

5
SSPPR
1
SSPPR

예제 출력 1

5
10
[{"problem_id":"2930","problem_lang":"0","title":"\uac00\uc704 \ubc14\uc704 \ubcf4","description":"<p>\uac00\uc704 \ubc14\uc704 \ubcf4\ub294 \ub450 \uc0ac\ub78c\uc774 \uc990\uae30\ub294 \uc720\uba85\ud55c \uac8c\uc784\uc774\ub2e4. \uac01 \ud50c\ub808\uc774\uc5b4\ub294 \uc790\uc2e0\uc758 \uc190\uc744 \uc774\uc6a9\ud574\uc11c \uac00\uc704, \ubc14\uc704, \ubcf4 \uc911 \ud55c \ubaa8\uc591\uc744 \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4. \ub450 \ud50c\ub808\uc774\uc5b4\uac00 \uac19\uc740 \ubaa8\uc591\uc744 \ub9cc\ub4e0 \uacbd\uc6b0\uc5d0\ub294 \ube44\uae30\uac8c \ub41c\ub2e4. \uac00\uc704\ub294 \ubcf4\ub97c \uc774\uae30\uace0, \ubcf4\ub294 \ubc14\uc704, \ubc14\uc704\ub294 \uac00\uc704\ub97c \uc774\uae34\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \uc0ac\ub78c\ub4e4\uc758 \uc2ec\ub9ac\ub97c \uc218\uc2ed\ub144\ub3d9\uc548 \uc5f0\uad6c\ud55c \uacb0\uacfc \uac00\uc704 \ubc14\uc704 \ubcf4\ub97c \ud55c\uad6d\uc5d0\uc11c \uac00\uc7a5 \uc798 \ud558\ub294 \uc0ac\ub78c\uc774 \ub418\uc5c8\ub2e4. \uc0c1\uadfc\uc774\ub294 \uc77c\ub300\uc77c \uac00\uc704 \ubc14\uc704 \ubcf4\ub97c \uc808\ub300\ub85c \uc9c0\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ud55c\uad6d\uc5d0 \uc801\uc218\uac00 \uc5c6\ub2e4\uace0 \ud310\ub2e8\ud55c \uc0c1\uadfc\uc774\ub294 \uc138\uacc4 \ub300\ud68c\uc5d0 \ub098\uac00\uae30\ub85c \ud588\ub2e4. \uc694\uc998 \uc0c1\uadfc\uc774\ub294 \uc138\uacc4 \ub300\ud68c\ub97c \ub300\ube44\ud574 \ud6c8\ub828\uc911\uc774\ub2e4. \ud6c8\ub828\uc740 \uce5c\uad6c N\uba85\uacfc \ub3d9\uc2dc\uc5d0 \ud55c\ub2e4. \uac00\uc704\ubc14\uc704\ubcf4\ub294 \ucd1d R\uac1c\uc758 \ub77c\uc6b4\ub4dc\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \uac01 \ub77c\uc6b4\ub4dc\ub9c8\ub2e4 \uc0c1\uadfc\uc774\uc640 \uce5c\uad6c\ub4e4\uc740 \uc138 \ubaa8\uc591\uc911 \ud558\ub098\ub97c \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ub77c\uc6b4\ub4dc\uc758 \uc810\uc218 \uacc4\uc0b0\uc740 \uc0c1\uadfc\uc774\uc640 \uce5c\uad6c \uac1c\uac1c\uc778\uc744 \ub3c5\ub9bd\uc801\uc73c\ub85c \ube44\uad50\ud55c\ub2e4. \uc0c1\uadfc\uc774\uac00 \uc774\uae30\uba74 2\uc810, \ube44\uae30\uba74 1\uc810, \uc9c0\uba74 0\uc810\uc774\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uc640 \uce5c\uad6c\ub4e4\uc774 \uac01 \ub77c\uc6b4\ub4dc\uc5d0 \ub0b8 \ubaa8\uc591\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uac8c\uc784\uc774 \ub05d\ub098\uace0 \ub09c \ud6c4 \uc0c1\uadfc\uc774\uc758 \uc810\uc218\ub97c \uad6c\ud55c\ub2e4. \uadf8 \ub2e4\uc74c, \uc0c1\uadfc\uc774\uac00 \uce5c\uad6c\ub4e4\uc774 \ubb34\uc5c7\uc744 \ub0bc\uc9c0 \ubbf8\ub9ac \uc54c\uace0\uc788\uc5c8\ub2e4\uace0 \uac00\uc815\ud560 \ub54c, \uc0c1\uadfc\uc774\uac00 \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\uace0 \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 \ub77c\uc6b4\ub4dc \uc218 R (1 &le; R &le; 50)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uc0c1\uadfc\uc774\uac00 \uac01 \ub77c\uc6b4\ub4dc\uc5d0 \ub0b8 \ubaa8\uc591\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. S\ub294 \uac00\uc704, P\ub294 \ubcf4, R\uc740 \ubc14\uc704\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc14b\uc9f8 \uc904\uc5d0\ub294 \uce5c\uad6c\uc758 \uc218 N (1 &le; N &le; 50)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uac1c \uc904\uc5d0\ub294 \uc0c1\uadfc\uc774\uc758 \uce5c\uad6c\ub4e4\uc774 \uac01 \ub77c\uc6b4\ub4dc\uc5d0 \ub0b8 \ubaa8\uc591\uc774 \uc8fc\uc5b4\uc9c0\uba70, \ud55c \uc904\uc5d0 \ud55c \uba85\uc529 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uadfc\uc774\uc758 \uc810\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uc0c1\uadfc\uc774\uac00 \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\ub300 \uc810\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2930","problem_lang":"1","title":"MAJSTOR","description":"<p>Rock-paper-scissors is a popular two-player game. In the game, each of the players uses their hand to show one of three symbols: rock, paper or scissors. If both players show the same symbol, the game is a tie. Otherwise, scissors beat paper, paper beats rock and rock beats scissors.&nbsp;<\/p>\r\n\r\n<p>Sven has been studying the psychological intricacies of the game for years and has become a real master at the game, his friends not standing a chance against him in one-on-one games.&nbsp;<\/p>\r\n\r\n<p>With the world championships around the corner, Sven is practicing his skills playing simultaneous games with N of his friends. One such game consists of R rounds. In each round, Sven and each of his friends show one of the three symbols.&nbsp;<\/p>\r\n\r\n<p>When calculating the score, in each round, Sven&#39;s symbol is independently compared to each of his friends&#39; symbols. Sven scores two points for every win and one point for every tie. Sven does not get points for losing.&nbsp;<\/p>\r\n\r\n<p>Write a program that calculates Sven&#39;s total score, and also his largest possible score had he known in advance all the symbols his friends would show.&nbsp;<\/p>\r\n","input":"<p>The first line contains the integer R (1 &le; R &le; 50), the number of rounds played.&nbsp;<\/p>\r\n\r\n<p>The second line contains a string of R letters &#39;S&#39;, &#39;P&#39; or &#39;R&#39;. The string represents symbols that Sven showed in each round. &#39;S&#39; is for scissors, &#39;P&#39; for paper, &#39;R&#39; for rock.&nbsp;<\/p>\r\n\r\n<p>The third line contains the integer N (1 &le; N &le; 50), the number of friends.&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains a string of R letters &#39;S&#39;, &#39;P&#39; or &#39;R&#39;. These are the symbols shown by each of the N friends in each of the R rounds.&nbsp;<\/p>\r\n","output":"<p>Output Sven&#39;s actual score on the first line.&nbsp;<\/p>\r\n\r\n<p>Output his largest possible score on the second line, assuming his friends didn&#39;t change their symbols.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]