An Automorphic Number is a number whose square ends with the number itself. For example, $25$ is an automorphic number because $(25^2=625),$ and the result ends with $25.$

Write a program $($for python$)$ that identifies all automorphic numbers between $1$ and $10000.$ Each automorphic number should be printed on a single line, followed by its square. Format the output as: "Number: n$,$ Square: s$".$

Note that the program should not employ string slicing techniques like $[-$len$($n$)$:$]$ to verify if the square ends with the number itself.