시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB5741098625.294%

문제

비밀 요원 상근이는 시리아의 화학 무기에 대한 정보를 보관하고 있는 금고를 열려고 한다. 금고를 열려면 금고에 암호를 입력해야 한다. 암호는 숫자 네 개로 이루어져 있다.

상근이는 시도해야 하는 암호의 목록을 가지고 있다. 목록에는 매우 많은 암호가 적혀있기 때문에, 암호가 될 수 없는 것을 미리 지우려고 한다.

올바른 암호는 24 조건을 만족한다. 암호를 이루는 수 네 개 사이에 덧셈, 뺄셈, 곱셈, 나눗셈, 괄호를 적절히 삽입해서 24를 만들 수 있을 때, 그 암호를 24 조건을 만족한다고 한다.

예를 들어, (4, 7, 8, 8)은 (7-8/8)*4 = 24이기 때문에, 24 조건을 만족한다. 하지만, (1, 1, 2, 4)나 (1, 1, 1, 1)과 같은 암호는 24 조건을 만족하지 않는다. 따라서, 이러한 암호는 시도해볼 필요가 없다.

가능한 암호가 모두 주어졌을 때, 24 조건을 만족하는지 안 하는지를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스의 개수는 100개를 넘지 않는다. 각 테스트 케이스는 한 줄로 이루어져 있고, 가능한 암호를 나타내는 네 정수 a, b, c, d (1 ≤ a, b, c, d ≤ 9)가 주어진다.

출력

각 테스트 케이스 마다, 입력으로 주어진 암호가 24 조건을 만족하면 "YES"를, 만족하지 않으면 "NO"를 출력한다.

예제 입력 1

4
4 7 8 8
1 1 2 4
1 1 1 1
1 3 4 6

예제 출력 1

YES
NO
NO
YES
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