Check Narcissistic Numbers

Given an integer \( T \) and \( T \) numbers, determine for each number whether it is a Narcissistic number. A Narcissistic number is a number that is equal to the sum of its digits raised to the power of the number of digits. Formally, for a number \( N \) with \( m \) digits, it is narcissistic if:

\( N = d_1^m + d_2^m + \ldots + d_m^m \)

Your task is to check each number and print "Yes" if it satisfies the condition, otherwise print "No".

inputFormat

The input begins with an integer \( T \), representing the number of test cases. Each of the following \( T \) lines contains a single integer \( N \).

outputFormat

For each test case, output "Yes" if the number is a Narcissistic number, otherwise output "No". Each answer should be printed on a new line.

## sample

3
153
9474
123

Yes
Yes
No

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