Question

An array is sorted (in ascending order) if each element of the array is less than or equal to the next element .

An array of size 0 or 1 is sorted
Compare the first two elements of the array ; if they are out of order, the array is not sorted; otherwise, check the if the rest of the array is sorted.
Write a boolean -valued method named isSorted that accepts an integer array , and the number of elements in the array and returns whether the array is sorted.

Answer 1

The student is seeking to write a method named isSorted that checks if an integer array is sorted in ascending order. A recursive approach is used where base cases for arrays of size 0 or 1 are considered sorted, and adjacent elements are compared recursively.

Step-by-step explanation:

The student is asking for assistance with writing a method in programming that checks whether an integer array is sorted in ascending order. In computer science, sorting algorithms and data structure manipulations are common topics. To create a method called isSorted that accomplishes this task, we can implement a recursive or iterative approach to traverse the array and compare adjacent elements.

Example of a Recursive Method

The following is an example of how a recursive method isSorted could be written in Java:

boolean isSorted(int[] array, int n) {
if (n <= 1) return true;
if (array[n-2] > array[n-1]) return false;
return isSorted(array, n-1);
}

In this method, we use a base case where arrays of size 0 or 1 are always sorted. We compare the last two elements in the sub-array of size n. If they are not in the correct order, we immediately return false. Otherwise, we recursively call isSorted for the first n-1 elements until we reach the base case.