시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
10 초 512 MB 587 100 65 23.985%

문제

상근이는 보드 게임 "Boggle"을 엄청나게 좋아한다. Boggle은 글자가 써 있는 주사위로 이루어진 4×4 크기의 그리드에서 최대한 많은 단어를 찾는 게임이다. 

상근이는 한 번도 부인을 Boggle로 이겨본 적이 없다. 이렇게 질 때마다 상근이는 쓰레기 버리기, 설거지와 같은 일을 해야 한다. 이제 상근이는 프로그램을 작성해서 부인을 이겨보려고 한다.

Boggle에서 단어는 인접한 글자(가로, 세로, 대각선)를 이용해서 만들 수 있다. 하지만, 한 주사위는 단어에 한 번만 사용할 수 있다. 단어는 게임 사전에 등재되어 있는 단어만 올바른 단어이다.

3글자, 4글자로 이루어진 단어는 1점, 5글자는 2점, 6글자는 3점, 7글자는 5점, 8글자는 11점이다. 점수는 자신이 찾은 단어에 해당하는 점수의 총 합이다.

단어 사전에 등재되어 있는 단어의 목록과 Boggle 게임 보드가 주어졌을 때, 얻을 수 있는 최대 점수, 가장 긴 단어, 찾은 단어의 수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 단어 사전에 들어있는 단어의 수 w가 주어진다. (1 < w < 300,000) 다음 w개 줄에는 단어가 주어진다. 단어는 최대 8글자이고, 알파벳 대문자로만 이루어져 있다. 단어 사전에 대한 정보가 모두 주어진 이후에는 빈 줄이 하나 주어진다.

그 다음에는 Boggle 보드의 개수 b가 주어진다. (1 < b < 30) 모든 Boggle은 알파벳 대문자로 이루어져 있고, 4줄에 걸쳐 주어진다. 각 Boggle의 사이에는 빈 줄이 하나  있다.

출력

각각의 Boggle에 대해, 얻을 수 있는 최대 점수, 가장 긴 단어, 찾은 단어의 개수를 출력한다. 한 Boggle에서 같은 단어를 여러 번 찾은 경우에는 한 번만 찾은 것으로 센다. 가장 긴 단어가 여러 개인 경우에는 사전 순으로 앞서는 것을 출력한다. 각 Boggle에 대해서 찾을 수 있는 단어가 적어도 한 개인 경우만 입력으로 주어진다.

예제 입력 1

5
ICPC
ACM
CONTEST
GCPC
PROGRAMM

3
ACMA
APCA
TOGI
NEST

PCMM
RXAI
ORCN
GPCG

ICPC
GCPC
ICPC
GCPC

예제 출력 1

8 CONTEST 4
14 PROGRAMM 4
2 GCPC 2

힌트

[{"problem_id":"9202","problem_lang":"0","title":"Boggle","description":"<p>\uc0c1\uadfc\uc774\ub294 \ubcf4\ub4dc \uac8c\uc784 &quot;Boggle&quot;\uc744 \uc5c4\uccad\ub098\uac8c \uc88b\uc544\ud55c\ub2e4. Boggle\uc740 \uae00\uc790\uac00 \uc368 \uc788\ub294 \uc8fc\uc0ac\uc704\ub85c \uc774\ub8e8\uc5b4\uc9c4 4&times;4 \ud06c\uae30\uc758 \uadf8\ub9ac\ub4dc\uc5d0\uc11c \ucd5c\ub300\ud55c \ub9ce\uc740 \ub2e8\uc5b4\ub97c \ucc3e\ub294 \uac8c\uc784\uc774\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \ud55c \ubc88\ub3c4 \ubd80\uc778\uc744 Boggle\ub85c \uc774\uaca8\ubcf8 \uc801\uc774 \uc5c6\ub2e4. \uc774\ub807\uac8c \uc9c8 \ub54c\ub9c8\ub2e4 \uc0c1\uadfc\uc774\ub294 \uc4f0\ub808\uae30 \ubc84\ub9ac\uae30, \uc124\uac70\uc9c0\uc640 \uac19\uc740 \uc77c\uc744 \ud574\uc57c \ud55c\ub2e4. \uc774\uc81c \uc0c1\uadfc\uc774\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud574\uc11c \ubd80\uc778\uc744 \uc774\uaca8\ubcf4\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>Boggle\uc5d0\uc11c \ub2e8\uc5b4\ub294 \uc778\uc811\ud55c \uae00\uc790(\uac00\ub85c, \uc138\ub85c, \ub300\uac01\uc120)\ub97c \uc774\uc6a9\ud574\uc11c \ub9cc\ub4e4 \uc218 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \ud55c \uc8fc\uc0ac\uc704\ub294 \ub2e8\uc5b4\uc5d0 \ud55c \ubc88\ub9cc \uc0ac\uc6a9\ud560 \uc218 \uc788\ub2e4. \ub2e8\uc5b4\ub294 \uac8c\uc784 \uc0ac\uc804\uc5d0 \ub4f1\uc7ac\ub418\uc5b4 \uc788\ub294 \ub2e8\uc5b4\ub9cc \uc62c\ubc14\ub978 \ub2e8\uc5b4\uc774\ub2e4.<\/p>\r\n\r\n<p>3\uae00\uc790, 4\uae00\uc790\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ub2e8\uc5b4\ub294 1\uc810, 5\uae00\uc790\ub294 2\uc810, 6\uae00\uc790\ub294 3\uc810, 7\uae00\uc790\ub294 5\uc810, 8\uae00\uc790\ub294 11\uc810\uc774\ub2e4. \uc810\uc218\ub294 \uc790\uc2e0\uc774 \ucc3e\uc740 \ub2e8\uc5b4\uc5d0 \ud574\ub2f9\ud558\ub294 \uc810\uc218\uc758 \ucd1d \ud569\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e8\uc5b4 \uc0ac\uc804\uc5d0 \ub4f1\uc7ac\ub418\uc5b4 \uc788\ub294 \ub2e8\uc5b4\uc758 \ubaa9\ub85d\uacfc Boggle \uac8c\uc784 \ubcf4\ub4dc\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\ub300 \uc810\uc218, \uac00\uc7a5 \uae34 \ub2e8\uc5b4, \ucc3e\uc740 \ub2e8\uc5b4\uc758 \uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub2e8\uc5b4 \uc0ac\uc804\uc5d0 \ub4e4\uc5b4\uc788\ub294 \ub2e8\uc5b4\uc758 \uc218 w\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &lt; w &lt; 300,000) \ub2e4\uc74c w\uac1c \uc904\uc5d0\ub294 \ub2e8\uc5b4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e8\uc5b4\ub294 \ucd5c\ub300 8\uae00\uc790\uc774\uace0, \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \ub2e8\uc5b4 \uc0ac\uc804\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \ubaa8\ub450 \uc8fc\uc5b4\uc9c4 \uc774\ud6c4\uc5d0\ub294 \ube48 \uc904\uc774 \ud558\ub098 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c\uc5d0\ub294 Boggle \ubcf4\ub4dc\uc758 \uac1c\uc218 b\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &lt; b &lt; 30) \ubaa8\ub4e0 Boggle\uc740 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, 4\uc904\uc5d0 \uac78\uccd0 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 Boggle\uc758 \uc0ac\uc774\uc5d0\ub294 \ube48 \uc904\uc774 \ud558\ub098 &nbsp;\uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01\uac01\uc758 Boggle\uc5d0 \ub300\ud574, \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\ub300 \uc810\uc218, \uac00\uc7a5&nbsp;\uae34 \ub2e8\uc5b4, \ucc3e\uc740 \ub2e8\uc5b4\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \ud55c Boggle\uc5d0\uc11c \uac19\uc740 \ub2e8\uc5b4\ub97c \uc5ec\ub7ec \ubc88 \ucc3e\uc740 \uacbd\uc6b0\uc5d0\ub294 \ud55c \ubc88\ub9cc \ucc3e\uc740 \uac83\uc73c\ub85c \uc13c\ub2e4. \uac00\uc7a5 \uae34 \ub2e8\uc5b4\uac00 \uc5ec\ub7ec \uac1c\uc778 \uacbd\uc6b0\uc5d0\ub294 \uc0ac\uc804 \uc21c\uc73c\ub85c \uc55e\uc11c\ub294 \uac83\uc744 \ucd9c\ub825\ud55c\ub2e4. \uac01 Boggle\uc5d0 \ub300\ud574\uc11c \ucc3e\uc744 \uc218 \uc788\ub294 \ub2e8\uc5b4\uac00 \uc801\uc5b4\ub3c4 \ud55c \uac1c\uc778 \uacbd\uc6b0\ub9cc \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9202","problem_lang":"1","title":"Boggle","description":"<p>I am sure, you are a big fan of the board game &ldquo;Boggle&rdquo;. Don&rsquo;t worry if you are not familiar with the rules, I will explain them to you. A Boggle is a 4 &times; 4 grid of letters where your job is to find as many words as you can. If I play Boggle with (or against) my wife, she always wins &ndash; the loser (that&rsquo;s me) then always has to do all these little jobs like to take out the trash. So, please help me to win again.<\/p>\r\n\r\n<p>Words in a Boggle can be constructed from adjacent letters (i.e. horizontally, vertically and diagonally), but the same dice may only be used once in a word. The words have to be listed in our dictionary to be valid.<\/p>\r\n\r\n<p>Words with 3 or 4 letters count 1 point, words with 5 letters 2 points, 6 letters 3 points, 7 letters 5 points. 8 letter words will give 11 points. If you \ufb01nd more than one word (and I hope you do), points will be summed up to form your score.<\/p>\r\n","input":"<p>There is only one test case per \ufb01le. The first line contains the number of words w in the dictionary (1 &lt; w &lt; 300 000). Then follow w lines, each containing one word. Words consist of up to 8 upper case letters (&rsquo;A&rsquo;-&rsquo;Z&rsquo;). After the dictionary specification, there is a blank line. Then follows the number of Boggle boards b in one line (1 &lt; b &lt; 30). Each boggle is given as a 4 &times; 4 grid of upper case letters in four lines. Boggles are separated by blank lines.<\/p>\r\n","output":"<p>For each boggle, print one line containing the maximal possible score, the longest word and number of found words. Words that are twice (or more often) in one Boggle, only count once. If there is more than one longest word, print the lexicographically smallest one. You may safely assume that there is at least one valid word in each Boggle.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]