Inserting a Node Into a Sorted Doubly Linked List

Given a reference to the head of a doubly-linked list and an integer, , create a new DoublyLinkedListNode object having data value and insert it at the proper location to maintain the sort.

Example

refers to the list

Return a reference to the new list: .

Function Description

Complete the sortedInsert function in the editor below.

sortedInsert has two parameters:

DoublyLinkedListNode pointer head: a reference to the head of a doubly-linked list
int data: An integer denoting the value of the field for the DoublyLinkedListNode you must insert into the list.

Returns

DoublyLinkedListNode pointer: a reference to the head of the list

Note: Recall that an empty list (i.e., where ) and a list with one element are sorted lists.

Input Format

The first line contains an integer , the number of test cases.

Each of the test case is in the following format:

The first line contains an integer , the number of elements in the linked list.
Each of the next lines contains an integer, the data for each node of the linked list.
The last line contains an integer, , which needs to be inserted into the sorted doubly-linked list.

Constraints

Sample Input

STDIN   Function
-----   --------
1       t = 1
4       n = 4
1       node data values = 1, 3, 4, 10
3
4
10
5       data = 5

Sample Output

1 3 4 5 10

Explanation

The initial doubly linked list is: .

The doubly linked list after insertion is: