Uniform Frequency Strings

You are given a string and you need to determine if it can be rearranged such that every character appears the same number of times. A string is defined as uniform if all characters in the string occur with equal frequency.

For example, the string aabbcc is uniform because each character appears exactly 2 times, whereas aaabbc is not uniform since the frequencies of the characters are not equal.

You should output YES if the string can be rearranged to be uniform, and NO otherwise.

inputFormat

The first line contains an integer T representing the number of test cases. Each of the following T lines contains a non-empty string S.

outputFormat

For each test case, print a single line containing YES if the string can be rearranged so that every character appears the same number of times, or NO otherwise.

## sample

3
aabbcc
aaabbc
aabccc

YES
NO
NO

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