Write a program in Java that uses a stack to reverse the contents of an array of integers. In the main part, ten numbers are prompted to be pushed onto the stack. There is a procedure which is called as 'reverse' in the program for popping the stack and displaying the values in the reverse of the order they were entered in. To develop the program, you can design an function called 'undo' for the user entering the list of numbers. This function could solve the problem when the user enters a wrong number and give another chance to go back and enter the number to replace the last one.