5

Zig - Zag Array

Difficulty: EASY

Problem Statement
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You are given an array of distinct elements, and you have to rearrange the array elements in a zig-zag fashion. In other words, for every odd position ‘i’ in the array 'ARR,' 'ARR'[i] should be greater than 'ARR'[i-1] and 'ARR'[i] should be greater than 'ARR'[i+1].

For example:

Given ‘N’ = 4, 
'ARR' = { 4, 3, 2, 1} 
Then a possible array is 3, 4, 1, 2.
Note:
You are supposed to return the array, which is in a zig-zag fashion.

Since there can be multiple answers for a particular array, any of the possible solutions are accepted.

It can be proved. A zig-zag array is always possible for a given array.
Input format:
The first line of input contains an integer ‘T’ denoting the number of test cases.

The first line of each test case contains a single integer, ‘N,’ where ‘N’ is the number of elements of the array.

The second line of each test case contains ‘N’ space-separated integers, denoting the array elements.
Output Format :
For each test case, You are supposed to return a zig-zag array for the given array. The runner function will print a single line containing a single integer which denotes whether the returned array is in zig-zag fashion or not.
Note:
You are not required to print the expected output; it has already been taken care of. Just implement the function.
Constraints:
1 <= ‘T’ <= 10
1 <= ‘N’ <= 5*10^3
0 <= 'ARR'[i] <= 10 ^ 6

Time Limit: 1sec.

Sample Input 1 :

2
4
4 3 2 1
5
2 4 6 8 10

Sample Output 1 :

1
1   

Explanation of the Sample Input 1:

For the first test case :  
One possible configuration can be 3 4 1 2. Therefore, the array can be converted into a zig-zag fashion.

For the second test case:
One possible configuration can be 2, 8, 6, 10, 4. Therefore the given array can be converted.

Sample Input 2 :

2
4
3 2 4 5
5
6 1 3 2 5

Sample Output 2 :

1
1
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