You are given a puzzle consisting of a row of squares that contain nonnegative integers, with a zero in the rightmost square. Keep in mind that it's possible for other squares to contain a zero. You have a token that starts on the leftmost square. On each turn, the token can shift left or right a number of squares equal to the value in its current square, but is not allowed to move off either end. For example, if the row of squares contains these values: [2, 4, 5, 3, 1, 3, 1, 4, 0], then on the first turn the only legal move is to shift right two squares, because the starting square contains a 2, and the token can't move off the left end. The goal is to get the token to the rightmost square (that contains zero). This row has a solution (more than one), but not all rows do. If we start with the row [1, 3, 2, 1, 3, 4, 0], then there is no way for the token to reach the rightmost square. Write a recursive function named row_puzzle that takes a list of integers as a parameter and returns True if the puzzle is solvable for that row, but returns False otherwise. You may use default arguments and/or helper functions.
Your recursive function must not:
use any loops
use any variables declared outside of the function
use any mutable default arguments

(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.