CF1620A Equal or Not Equal
Description
You had $ n $ positive integers $ a_1, a_2, \dots, a_n $ arranged in a circle. For each pair of neighboring numbers ( $ a_1 $ and $ a_2 $ , $ a_2 $ and $ a_3 $ , ..., $ a_{n - 1} $ and $ a_n $ , and $ a_n $ and $ a_1 $ ), you wrote down: are the numbers in the pair equal or not.
Unfortunately, you've lost a piece of paper with the array $ a $ . Moreover, you are afraid that even information about equality of neighboring elements may be inconsistent. So, you are wondering: is there any array $ a $ which is consistent with information you have about equality or non-equality of corresponding pairs?
Input Format
The first line contains a single integer $ t $ ( $ 1 \le t \le 1000 $ ) — the number of test cases. Next $ t $ cases follow.
The first and only line of each test case contains a non-empty string $ s $ consisting of characters E and/or N. The length of $ s $ is equal to the size of array $ n $ and $ 2 \le n \le 50 $ . For each $ i $ from $ 1 $ to $ n $ :
- if $ s_i = $ E then $ a_i $ is equal to $ a_{i + 1} $ ( $ a_n = a_1 $ for $ i = n $ );
- if $ s_i = $ N then $ a_i $ is not equal to $ a_{i + 1} $ ( $ a_n \neq a_1 $ for $ i = n $ ).
Output Format
For each test case, print YES if it's possible to choose array $ a $ that are consistent with information from $ s $ you know. Otherwise, print NO.
It can be proved, that if there exists some array $ a $ , then there exists an array $ a $ of positive integers with values less or equal to $ 10^9 $ .
Explanation/Hint
In the first test case, you can choose, for example, $ a_1 = a_2 = a_3 = 5 $ .
In the second test case, there is no array $ a $ , since, according to $ s_1 $ , $ a_1 $ is equal to $ a_2 $ , but, according to $ s_2 $ , $ a_2 $ is not equal to $ a_1 $ .
In the third test case, you can, for example, choose array $ a = [20, 20, 4, 50, 50, 50, 20] $ .
In the fourth test case, you can, for example, choose $ a = [1, 3, 3, 7] $ .