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CF2178A.Yes or Yes
Yes or Yes
Last Christmas, your friend Fernando gifted you a string consisting only of the characters Y and N, representing "Yes" and "No", respectively.
You can repeatedly apply the following operation on :
- Choose any two adjacent characters and replace them with their logical OR.
Formally, in each operation, you can choose an index (), remove the characters and , then insert:
- A single
Yif at least one of or isY; - A single
Nif both and areN.
Note that after each operation, the length of decreases by .
Unfortunately, Fernando does not want you to combine "Yes OR Yes", as he has experienced trauma relating to a certain song.
Determine whether it is possible to reduce to a single character by repeatedly applying the operation above, without ever combining two Y's.
Input
Each test contains multiple test cases. The first line contains the number of test cases (). The description of the test cases follows.
The only line of each test case contains the string (). It is guaranteed that or N.
Output
For each test case, print "YES" if the string can be reduced to a single character by repeatedly applying the described operation, and "NO" otherwise.
You can output the answer in any case (upper or lower). For example, the strings "yEs", "yes", "Yes", and "YES" will be recognized as positive responses.
Note
In the first test case, you cannot combine and since they are both Y. Thus, the answer is NO.
In the third test case, the following is a valid sequence of operations: \underline{NN}Y}\to\mathtt{\underline{NY}}\to\mathtt{Y. Thus, the answer is YES.
In the fourth test case, there are two possibilities for the first operation: YY\underline{YN}Y}\to \mathtt{YYYY or YYY\underline{NY}}\to \mathtt{YYYY. However, in either case, it is not possible to perform any more operations without combining two Y's. Thus, the answer is NO.
In the fifth test case, the following is a valid sequence of operations: N\underline{NN}NN}\to\mathtt{\underline{NN}NN}\to\mathtt{N\underline{NN}}\to\mathtt{\underline{NN}}\to\mathtt{N. Thus, the answer is YES.
Samples
7
YY
NN
NNY
YYYNY
NNNNN
YYYYYY
YNNNNN
NO
YES
YES
NO
YES
NO
YES
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