A Perfectly Balanced String? Solution | Codeforces Problem Solution 2022

A Perfectly Balanced String? Solution | Codeforces Problem Solution 2022

B. A Perfectly Balanced String?

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Let's call a string 𝑠$s$ perfectly balanced if for all possible triplets (𝑡,𝑢,𝑣)$(t,u,v)$ such that 𝑡$t$ is a non-empty substring of 𝑠$s$ and 𝑢$u$ and 𝑣$v$ are characters present in 𝑠$s$, the difference between the frequencies of 𝑢$u$ and 𝑣$v$ in 𝑡$t$ is not more than 1$1$.

For example, the strings "aba" and "abc" are perfectly balanced but "abb" is not because for the triplet ("bb",'a','b'), the condition is not satisfied.

You are given a string 𝑠$s$ consisting of lowercase English letters only. Your task is to determine whether 𝑠$s$ is perfectly balanced or not.

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A string 𝑏$b$ is called a substring of another string 𝑎$a$ if 𝑏$b$ can be obtained by deleting some characters (possibly 0$0$) from the start and some characters (possibly 0$0$) from the end of 𝑎$a$.

Input

The first line of input contains a single integer 𝑡$t$ (1≤𝑡≤2⋅104$1\le t\le 2\cdot {10}^4$) denoting the number of testcases.

Each of the next 𝑡$t$ lines contain a single string 𝑠$s$ (1≤|𝑠|≤2⋅105$1\le |s|\le 2\cdot {10}^5$), consisting of lowercase English letters.

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It is guaranteed that the sum of |𝑠|$|s|$ over all testcases does not exceed 2⋅105$2\cdot {10}^5$.

Output

For each test case, print "YES" if 𝑠$s$ is a perfectly balanced string, and "NO" otherwise.

You may print each letter in any case (for example, "YES", "Yes", "yes", "yEs" will all be recognized as positive answer).

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