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Java Program. Please only answer if you understand the problem. Using Stack ADT, write a program to test if a given input string containing the

Java Program. Please only answer if you understand the problem.

Using Stack ADT, write a program to test if a given input string containing the exactly one character $ is in the following set.

L = { w$w: w is an empty string or a string of characters such that each character belongs to the English alphabet {a, b, c, , x, y, z} and w = reverse(w)}

For example, $, abc$cba, pandabear$raebadnap are in L. usmc$mcus, pandabear$, abc$abc are not in L.

Below is a sample run of your program:

Please input a string containing $:

$

$ is in that given set.

Please input a string containing:

pandabear$raebadnap

pandabear$raebadnap is in that given set.

Please input a string containing $:

abc$cnbc

abc$cnbc is not in that given set.

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