section grouping is a string containing just characters "(" and ")". A standard section succession is a section grouping that can be changed into a right number juggling articulation by embedding characters "1" and "+" between the first characters of the arrangement. For instance, section successions "()()" and "(())" are normal (the subsequent articulations are: "(1)+(1)"

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 section grouping is a string containing just characters "(" and ")". A standard section succession is a section grouping that can be changed into a right number juggling articulation by embedding characters "1" and "+" between the first characters of the arrangement. For instance, section successions "()()" and "(())" are normal (the subsequent articulations are: "(1)+(1)" and "((1+1)+1)"), and ")(", "(" and ")" are not. 

 

You need to find a string b that comprises of n characters to such an extent that: 

 

b is a standard section grouping; 

 

in the event that for some I and j (1≤i,j≤n) ai=aj, bi=bj. 

 

As such, you need to supplant all events of 'A' with a similar kind of section, then, at that point, all events of 'B' with a similar sort of section and all events of 'C' with a similar sort of section. 

 

Your undertaking is to decide whether such a string b exists. 

 

Input 

 

The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. 

 

Then, at that point, the depictions of t testcases follow. 

 

The main line of each testcase contains a string a. a comprises just of capitalized letters 'A', 'B' and 'C'. Leave n alone the length of a. It is ensured that n is even and 2≤n≤50. 

 

Output 

 

For each testcase print "YES" if there exists such a string b that: 

 

b is an ordinary section arrangement; 

 

on the off chance that for some I and j (1≤i,j≤n) ai=aj, bi=bj. 

 

In any case, print "NO".

 

 

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