시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 30 9 4 25.000%

문제

동일이는 어느 날 혼자서 할 수 있는 재미있는 놀이 하나를 생각해냈다.

이 놀이는 N개의 알파벳 소문자로 이루어진 문자열 하나로 시작된다.

동일이는 이 문자열의 임의의 두 글자를 서로 바꿀 수 있다. 이 행동은 0번 혹은 그 이상 원하는 할 수 있다.

목표는 사전순으로 가장 앞선 문자열을 만드는 것이다.

하지만 몇 번 게임을 하던 동일이는 아무래도 게임이 너무 쉽다고 생각하여 규칙 하나를 추가했다.

결과물이 될 문자열의 각 위치마다, 그 위치에 올 수 있는 문자를 정해 둔다.

예시는 다음과 같다.

  • 첫 글자는 a 또는 b가 되어야 한다.
  • 두 번째 글자는 b 또는 c가 되어야 한다.

이 규칙은 최종 결과물이 될 문자열에만 성립하며, 놀이 도중 만들어지는 문자열은 위의 규칙을 따르지 않아도 상관없다.

위의 규칙을 추가하자 놀이가 너무 어려워졌다.

동일이를 도와 규칙을 잘 지키면서 사전순으로 가장 앞서는 문자열이 무엇인지 찾아주도록 하자.

입력

첫 줄에 테스트 케이스의 수 T가 주어진다. ( 1 ≤ T ≤ 100 )

각 테스트 케이스의 첫 줄엔 놀이에 사용할 초기 문자열 S가 주어진다.

문자열은 N개의 알파벳 소문자로 이루어져 있다. ( 1 ≤ N ≤ 100 )

이어 N줄에 걸쳐 문자열 Ci가 주어진다. Ci는 Li개의 문자를 포함하며, 결과물의 i번째 글자에 올 수 있는 문자들의 목록이다. ( 1 ≤ Li ≤ 5 )

Ci에 등장하는 모든 문자는 초기 문자열 S에 최소한 한 번 이상 등장한다.

출력

각 테스트 케이스마다, 규칙을 지키며 만들 수 있는 사전순으로 가장 앞선 문자열을 출력한다. 만약 규칙대로 만들 수 있는 문자열이 존재하지 않는다면 NO SOLUTION을 출력한다.

예제 입력 1

2
abcde
abcde
a
abcde
abcde
abcde
abcde
ab
ab
ab
abcde
abcde

예제 출력 1

bacde
NO SOLUTION
[{"problem_id":"9551","problem_lang":"0","title":"\ubc14\uafb8\uae30 \ub180\uc774","description":"<p>\ub3d9\uc77c\uc774\ub294 \uc5b4\ub290 \ub0a0 \ud63c\uc790\uc11c \ud560 \uc218 \uc788\ub294 \uc7ac\ubbf8\uc788\ub294 \ub180\uc774 \ud558\ub098\ub97c \uc0dd\uac01\ud574\ub0c8\ub2e4.<\/p>\r\n\r\n<p>\uc774 \ub180\uc774\ub294 N\uac1c\uc758 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubb38\uc790\uc5f4 \ud558\ub098\ub85c \uc2dc\uc791\ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\uc77c\uc774\ub294 \uc774 \ubb38\uc790\uc5f4\uc758 \uc784\uc758\uc758 \ub450 \uae00\uc790\ub97c \uc11c\ub85c \ubc14\uafc0 \uc218 \uc788\ub2e4. \uc774 \ud589\ub3d9\uc740 0\ubc88 \ud639\uc740 \uadf8 \uc774\uc0c1 \uc6d0\ud558\ub294 \ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubaa9\ud45c\ub294 \uc0ac\uc804\uc21c\uc73c\ub85c \uac00\uc7a5 \uc55e\uc120 \ubb38\uc790\uc5f4\uc744 \ub9cc\ub4dc\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc \uba87 \ubc88 \uac8c\uc784\uc744 \ud558\ub358 \ub3d9\uc77c\uc774\ub294 \uc544\ubb34\ub798\ub3c4 \uac8c\uc784\uc774 \ub108\ubb34 \uc27d\ub2e4\uace0 \uc0dd\uac01\ud558\uc5ec \uaddc\uce59 \ud558\ub098\ub97c \ucd94\uac00\ud588\ub2e4.<\/p>\r\n\r\n<p>\uacb0\uacfc\ubb3c\uc774 \ub420 \ubb38\uc790\uc5f4\uc758 \uac01 \uc704\uce58\ub9c8\ub2e4, \uadf8 \uc704\uce58\uc5d0 \uc62c \uc218 \uc788\ub294 \ubb38\uc790\ub97c \uc815\ud574 \ub454\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc2dc\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab \uae00\uc790\ub294 a \ub610\ub294 b\uac00 \ub418\uc5b4\uc57c \ud55c\ub2e4.<\/li>\r\n\t<li>\ub450 \ubc88\uc9f8 \uae00\uc790\ub294 b \ub610\ub294 c\uac00 \ub418\uc5b4\uc57c \ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774 \uaddc\uce59\uc740 \ucd5c\uc885 \uacb0\uacfc\ubb3c\uc774 \ub420 \ubb38\uc790\uc5f4\uc5d0\ub9cc \uc131\ub9bd\ud558\uba70, \ub180\uc774 \ub3c4\uc911 \ub9cc\ub4e4\uc5b4\uc9c0\ub294 \ubb38\uc790\uc5f4\uc740 \uc704\uc758 \uaddc\uce59\uc744 \ub530\ub974\uc9c0 \uc54a\uc544\ub3c4 \uc0c1\uad00\uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc704\uc758 \uaddc\uce59\uc744 \ucd94\uac00\ud558\uc790 \ub180\uc774\uac00 \ub108\ubb34 \uc5b4\ub824\uc6cc\uc84c\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\uc77c\uc774\ub97c \ub3c4\uc640 \uaddc\uce59\uc744 \uc798 \uc9c0\ud0a4\uba74\uc11c \uc0ac\uc804\uc21c\uc73c\ub85c \uac00\uc7a5 \uc55e\uc11c\ub294 \ubb38\uc790\uc5f4\uc774 \ubb34\uc5c7\uc778\uc9c0 \ucc3e\uc544\uc8fc\ub3c4\ub85d \ud558\uc790.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ( 1 &le; T &le; 100 )<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d4 \ub180\uc774\uc5d0 \uc0ac\uc6a9\ud560 \ucd08\uae30 \ubb38\uc790\uc5f4 S\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ubb38\uc790\uc5f4\uc740 N\uac1c\uc758 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. ( 1 &le; N &le; 100 )<\/p>\r\n\r\n<p>\uc774\uc5b4 N\uc904\uc5d0 \uac78\uccd0 \ubb38\uc790\uc5f4 C<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. C<sub>i<\/sub>\ub294 L<sub>i<\/sub>\uac1c\uc758 \ubb38\uc790\ub97c \ud3ec\ud568\ud558\uba70, \uacb0\uacfc\ubb3c\uc758 i\ubc88\uc9f8 \uae00\uc790\uc5d0 \uc62c \uc218 \uc788\ub294 \ubb38\uc790\ub4e4\uc758 \ubaa9\ub85d\uc774\ub2e4. ( 1 &le; L<sub>i<\/sub> &le; 5 )<\/p>\r\n\r\n<p>C<sub>i<\/sub>\uc5d0 \ub4f1\uc7a5\ud558\ub294 \ubaa8\ub4e0 \ubb38\uc790\ub294 \ucd08\uae30 \ubb38\uc790\uc5f4 S\uc5d0 \ucd5c\uc18c\ud55c \ud55c \ubc88 \uc774\uc0c1 \ub4f1\uc7a5\ud55c\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4, \uaddc\uce59\uc744 \uc9c0\ud0a4\uba70 \ub9cc\ub4e4 \uc218 \uc788\ub294 \uc0ac\uc804\uc21c\uc73c\ub85c \uac00\uc7a5 \uc55e\uc120 \ubb38\uc790\uc5f4\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \uaddc\uce59\ub300\ub85c \ub9cc\ub4e4 \uc218 \uc788\ub294 \ubb38\uc790\uc5f4\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74 NO SOLUTION\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9551","problem_lang":"1","title":"The Swapping Game","description":"<p>Last year you invented a game which can be played using a board and a die (singular of dice), this year you invented another new game which can be played using a single string of some letters.<\/p>\r\n\r\n<p>The game starts with a string of N lower case English letters (&lsquo;a&rsquo; to &lsquo;z&rsquo;), and you can only swap two different characters in this string, and you can make this step zero or more times. Your goal is to reach the lexicographically smallest string after doing zero or more moves.<\/p>\r\n\r\n<p>But there are some constraints on the final string. For each position, it must be a letter of some given letters (the given letters are not necessary the same for each position). For example, the first letter must be &lsquo;a&rsquo; or &lsquo;b&rsquo;, the second letter must be &lsquo;b&rsquo; or &lsquo;c&rsquo;, and so on.<\/p>\r\n\r\n<p>Note that these constraints are on the final string only, which means you can make moves which cause invalid strings to reach a valid string after some more moves.<\/p>\r\n\r\n<p>Given the initial string and the constraints on each position, your task is to write a program to find the lexicographically smallest valid string after making zero or more moves.<\/p>\r\n\r\n<p>Note: When comparing two different strings of the same length, the lexicographically smaller one is the one with a smaller letter on the first place where they differ.<\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. The first line of the input will be a single integer T, the number of test cases (1 &le; T &le; 100). Followed by the test cases, each test case starts with a line containing the initial string S which consists of N lower case English letters (1 &le; N &le; 100). Followed by N lines each line contains a string C<sub>i<\/sub> which consists of L<sub>i<\/sub> distinct lower case English letters (1 &le; L<sub>i<\/sub> &le; 5) which are the valid letters for the i-th position in the final string. Each letter in each C<sub>i<\/sub> will appear at least once in S.<\/p>\r\n","output":"<p>For each test case, print on a single line the lexicographically smallest valid string you can get after zero or more moves. If there is no such valid string print &lsquo;NO SOLUTION&rsquo; (without the quotes).<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]