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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
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( 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","html_title":"0","problem_lang_tcode":"Korean"},{"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. 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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","html_title":"0","problem_lang_tcode":"English"}]