Lists Write the following predicates on lists.

• equal/2 meaning that both given lists are equal:

?- equal([3, 5, 2, 1], [3, 5, 2, 1]).

true

?- equal([3, 5, 2, 1], [1, 2, 3, 5]).

false

?- equal(bob, bob).

false

• contains/2 meaning that the list contains an element:

?- contains([3, 5, 2, 1], 2).

true

?- contains([3, 5, 2, 1], 4).

false

• reverse/2 meaning the first list is the reverse of the second.

?- reverse([3, 5, 2, 1], X).

X = [1, 2, 5, 3]

?- reverse (bob, X).

false

• sum/2 meaning the second member is the sum of elements in the first.

?- sum([3, 5, 2, 1], S).

S = 11

?- sum([], S).

S = 0

Binary trees
We will create a data structure that represents binary trees. Each node will be represented as bt(L, E, R), where L is the left subtree, R is the right subtree, and E is the element at the given note. An empty tree is denoted as the atom nil.

• Write the predicate binary_treee/1, that returns true if the argument is a binary tree:
?- binary_treee(nil)
true
?- binary_tree(bt(nil, 3, nil))
true
?- binary_tree(bt(bt(nil, 4, bt(nil, 5, nil)), 3, nil))
true
?- binary_tree(bt(nil, 3))
false

• Write the predicate in_order/2, that returns the list of arguments ordered by the in-order traversal (left-to-right: https://www. geeksforgeeks. org/tree-traversals-inorder-preorde r-and-postorder/ ):
?- in_order(bt(bt(nil, 4, bt(nil, 5, nil)), 3, nil), L)
L = [4, 5, 3]

D.is the correct answer to the question

Program;

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(1)correct answer is d.the others are just bad syntax.by using the keyword "new" and int[] together, you create a new integer array object in memory. whenever you want to create an object without using array literals, you must use new. (by array literals, i mean a line of declaration code like int[] x = {4,6}; where you literally specify an array without using new. an array literal can only be used in the same line as declaring the array.)(2)correct answer is c. it is the only choice that returns an array and properly takes in an array reference as an argument.choices a and b do not return an array; they respectively return void (nothing at all) and a primitive double, which is not a double array.choice d has invalid syntax. looking at it, it won't properly accept any array reference you pass into the method.(3)correct answer is a.x is already defined.choice b only returns an index of the array.also, in any other method, you wouldn't write the type next to the thing being returned. choices c and d are invalid.(4)correct answer is c.choice a only accepts one.choice b requires at least two numbers.choice d only takes in an integer array reference, not integers.(5) correct choice is d.by specifying that the first argument can take in any number of ints, java will assume everything you input into the method will be an integer.theoretically it will never reach that string argument, no matter how many commas you put. this is illegal; the java compiler will complain. i don't think it'll even recognize it as a method header.