Question: In java programming language use the operations push, pop, peek, and empty to write operations that do each of the following: 1. set i to

In java programming language use the operations push, pop, peek, and empty to write operations that do each of the following:

1. set i to the second element from the top of the stack; leaving the stack without its top two elements.

2. set i to the second element from the top of the stack; leaving the stack unchanged.

3. Given an integer n, set i to the nth element from the top of the stack; leaving stack without its top n elements.

4. Given an integer n, set i to the nth element from the top of the stack; leaving stack unchanged.

5. Set i to the bottom element of the stack; leaving the stack empty.

6. Set i to the bottom element of the stack; leaving the stack unchanged (Hint: use another, auxiliary stack)

7. Set i to third element from the bottom of the stack.

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