Mismatched Brackets
문제 정보
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- 문제 ID
- 시간 제한
- 메모리 제한
- 제출 횟수
- 정답 횟수 (비율)
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- BRACKETS2
- 1000ms
- 65536kb
- 12901
- 4161 (32%)
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- 출처
- 분류
문제
Best White is a mathematics graduate student at T1 University. Recently, he finished writing a paper and he decided to polish it. As he started to read it from the beginning, he realized that some of the formulas have problems: some of the brackets are mismatched! Since there are so many formulas in his paper, he decided to check their validity with a computer program.
The following kinds of brackets are included in Best White’s paper.
- Round brackets are opened by a
(and closed by a). - Curly brackets are opened by a
{and closed by a}. - Square brackets are opened by a
[and closed by a].
A formula is said well-matched when the following conditions are met:
- Every bracket has a corresponding pair.
(corresponds to),[corresponds to], et cetera. - Every bracket pair is opened first, and closed later.
- No two pairs "*cross*" each other. For example,
[(])is not well-matched.
Write a program to help Best White by checking if each of his formulas is well-matched. To make the problem easier, everything other than brackets are removed from the formulas.
입력
The first line of the input will contain the number of test cases C\ (1 \le C \le 100). Each test is given in a single line as a character string. The strings will only include characters in "[](){}" (quotes for clarity). The length of the string will not exceed 10,000.
출력
For each test case, print a single line "YES" when the formula is well-matched; print "NO" otherwise. (quotes for clarity)
예제 입력
3
()()
({[}])
({}[(){}])
예제 출력
YES NO YES
노트
