MU Puzzle

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1296 Accepted Submission(s): 539

Problem Description Suppose there are the symbols M, I, and U which can be combined to produce strings of symbols called words. We start with one word MI, and transform it to get a new word. In each step, we can use one of the following transformation rules:
1. Double any string after the M (that is, change Mx, to Mxx). For example: MIU to MIUIU.
2. Replace any III with a U. For example: MUIIIU to MUUU.
3. Remove any UU. For example: MUUU to MU.
Using these three rules is it possible to change MI into a given string in a finite number of steps

Input First line, number of strings, n.
Following n lines, each line contains a nonempty string which consists only of letters 'M', 'I' and 'U'.

Total length of all strings <= 10 ⁶.
Output n lines, each line is 'Yes' or 'No'.
Sample Input

2
MI
MU

Sample Output

Yes
No

Source 2013 Multi-University Training Contest 6
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#include
  
   
#include
   
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