You are given a string SS of length NN contains only 1,2,31,2,3 as a character. You have to replace every similar character with either an open bracket or close bracket so that the newly formed string is a balanced bracket sequence. For ex : str = “1123” (take 11 as ‘(‘ ‘2’ as ‘)’ and 33 as ‘)’ then formed string will look like “(())”) and “121232” can be transformed to balance bracket sequence while “1121” and “11” can not.
Your task is to determine if it is possible to transform a given string to a balanced bracket sequence or not.
The first line contains a single integer TT – the number of test cases. The first and only line of each test case consists of a string SS.
Print “YES” if it is possible to transform a given string to a balanced bracket sequence else print “NO”.
1≤T≤1031≤T≤103 1≤|S|≤1051≤|S|≤105 S will only contain 1,2,31,2,3 character. |S| is length of the string
3 1123 121232 1121
YES YES NO
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