# Alternative Sorting

Given an array of integers, print the array in such a way that the first element is first maximum and second element is first minimum and so on.

Examples :

```Input : arr[] = {7, 1, 2, 3, 4, 5, 6}
Output : 7 1 6 2 5 3 4

Input : arr[] = {1, 6, 9, 4, 3, 7, 8, 2}
Output : 9 1 8 2 7 3 6 4
```

## Recommended: Please solve it on “PRACTICE ” first, before moving on to the solution.

A simple solution is to first print maximum element, then minimum, then second maximum, and so on. Time complexity of this approach is O(n2).

An efficient solution involves following steps.
1) Sort input array using a O(n Log n) algorithm.
2) We maintain two pointers, one from beginning and one from end in sorted array. We alternatively print elements pointed by two pointers and move them toward each other.

## C++

 `// C++ program to print an array in alternate ` `// sorted manner. ` `#include ` `using` `namespace` `std; ` ` `  `// Function to print alternate sorted values ` `void` `alternateSort(``int` `arr[], ``int` `n) ` `{ ` `    ``// Sorting the array ` `    ``sort(arr, arr+n); ` ` `  `    ``// Printing the last element of array  ` `    ``// first and then first element and then  ` `    ``// second last element and then second  ` `    ``// element and so on. ` `    ``int` `i = 0, j = n-1; ` `    ``while` `(i < j) { ` `        ``cout << arr[j--] << ``" "``; ` `        ``cout << arr[i++] << ``" "``; ` `    ``} ` ` `  `    ``// If the total element in array is odd  ` `    ``// then print the last middle element. ` `    ``if` `(n % 2 != 0) ` `        ``cout << arr[i]; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `arr[] = {1, 12, 4, 6, 7, 10}; ` `    ``int` `n = ``sizeof``(arr)/``sizeof``(arr); ` `    ``alternateSort(arr, n); ` `    ``return` `0; ` `} `

## Java

 `// Java program to print an array in alternate ` `// sorted manner ` `import` `java.io.*; ` `import` `java.util.Arrays; ` `  `  `class` `AlternativeString ` `{ ` `    ``// Function to print alternate sorted values ` `    ``static` `void` `alternateSort(``int` `arr[], ``int` `n) ` `    ``{ ` `        ``Arrays.sort(arr); ` ` `  `        ``// Printing the last element of array  ` `        ``// first and then first element and then  ` `        ``// second last element and then second  ` `        ``// element and so on. ` `        ``int` `i = ``0``, j = n-``1``; ` `        ``while` `(i < j) { ` `            ``System.out.print(arr[j--] + ``" "``); ` `            ``System.out.print(arr[i++] + ``" "``); ` `        ``} ` `      `  `        ``// If the total element in array is odd  ` `        ``// then print the last middle element. ` `        ``if` `(n % ``2` `!= ``0``) ` `            ``System.out.print(arr[i]); ` `    ``} ` ` `  `    ``/* Driver program to test above functions */` `    ``public` `static` `void` `main (String[] args) ` `    ``{ ` `        ``int` `arr[] = {``1``, ``12``, ``4``, ``6``, ``7``, ``10``}; ` `        ``int` `n = arr.length; ` `        ``alternateSort(arr, n); ` `    ``} ` `} ` `/*This code is contributed by Prakriti Gupta*/`

## Python3

 `# Python 3 program to print an array ` `# in alternate sorted manner. ` ` `  `# Function to print alternate sorted ` `# values ` `def` `alternateSort(arr, n): ` ` `  `    ``# Sorting the array ` `    ``arr.sort()  ` ` `  `    ``# Printing the last element of array  ` `    ``# first and then first element and then  ` `    ``# second last element and then second  ` `    ``# element and so on. ` `    ``i ``=` `0` `    ``j ``=` `n``-``1` `     `  `    ``while` `(i < j):  ` `     `  `        ``print``(arr[j], end ``=``" "``) ` `        ``j``-``=` `1` `        ``print``(arr[i], end ``=``" "``) ` `        ``i``+``=` `1` ` `  `    ``# If the total element in array is odd  ` `    ``# then print the last middle element. ` `    ``if` `(n ``%` `2` `!``=` `0``): ` `        ``print``(arr[i])  ` ` `  ` `  `# Driver code ` `arr ``=` `[``1``, ``12``, ``4``, ``6``, ``7``, ``10``]  ` `n ``=` `len``(arr) ` ` `  `alternateSort(arr, n)  ` ` `  `# This code is contributed by ` `# Smitha Dinesh Semwal `

## C#

 `// C# program to print an array in alternate ` `// sorted manner ` `using` `System; ` ` `  `class` `AlternativeString { ` `     `  `    ``// Function to print alternate sorted values ` `    ``static` `void` `alternateSort(``int``[] arr, ``int` `n) ` `    ``{ ` `        ``Array.Sort(arr); ` ` `  `        ``// Printing the last element of array ` `        ``// first and then first element and then ` `        ``// second last element and then second ` `        ``// element and so on. ` `        ``int` `i = 0, j = n - 1; ` `        ``while` `(i < j) { ` `            ``Console.Write(arr[j--] + ``" "``); ` `            ``Console.Write(arr[i++] + ``" "``); ` `        ``} ` ` `  `        ``// If the total element in array is odd ` `        ``// then print the last middle element. ` `        ``if` `(n % 2 != 0) ` `            ``Console.WriteLine(arr[i]); ` `    ``} ` ` `  `    ``/* Driver program to test above functions */` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``int``[] arr = { 1, 12, 4, 6, 7, 10 }; ` `        ``int` `n = arr.Length; ` `        ``alternateSort(arr, n); ` `    ``} ` `} ` ` `  `// This article is contributed by vt_m. `

## PHP

 ` `

Output :

```12 1 10 4 7 6
```

Time Complexity: O(n Log n)
Auxiliary Space : O(1)

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