codeforces#P1620A. Equal or Not Equal
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?
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 $i = n$).
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 $10^9$.
Input
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
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 $10^9$.
Samples
4
EEE
EN
ENNEENE
NENN
YES
NO
YES
YES
Note
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 $a = [1, 3, 3, 7]$.