Question: Question #2 (10 Points): Using Stacks, write a java method that takes a string consisting of sequence of the letters U and D, where U

Question #2 (10 Points):

Using Stacks, write a java method that takes a string consisting of sequence of the letters U and D, where U means UP or Increasing and D means DOWN or Deceasing and then returns the smallest number which consists of non-repeated digits formed based on the pattern described by the input string.

Examples:

if the string is: "UUDDUDUD" the returned number will be: 125437698
if the string is: "UDUDUU" the returned number will be 1325467
if the string is "DDDDD" the returned number will be 654321
if the string is "UUUU" the returned number will be 12345

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