# Interleave the first half of the queue with second half

Given a queue of integers of even length, rearrange the elements by interleaving the first half of the queue with the second half of the queue. We are allowed to use only the queue data structure.

Examples:

```Input :  1 2 3 4
Output : 1 3 2 4

Input : 11 12 13 14 15 16 17 18 19 20
Output : 11 16 12 17 13 18 14 19 15 20
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Create two auxiliary queues q1 and q2. Insert first half in one queue q1 and another half in another queue q2. Now insert elements back to given queue by picking them from q1 and q2 alternatively.

 `// CPP program to interleave queue elements ` `// using only queue data structure. ` `#include ` `using` `namespace` `std; ` ` `  `void` `interleave(queue<``int``> &q) ` `{ ` `    ``queue<``int``> q1, q2; ` ` `  `    ``int` `n = q.size(); ` ` `  `    ``// Insert first half in q1 ` `    ``for` `(``int` `i = 0; i < n / 2; i++) { ` `        ``q1.push(q.front()); ` `        ``q.pop(); ` `    ``} ` ` `  `    ``// insert second half in q2 ` `    ``for` `(``int` `i = 0; i < n / 2; i++) { ` `        ``q2.push(q.front()); ` `        ``q.pop(); ` `    ``} ` `    `  `    ``// Insert elements of q1 and q2 back ` `    ``// to q in alternate order. ` `    ``for` `(``int` `i = 0; i < n/2; i++) { ` `        ``q.push(q1.front()); ` `        ``q1.pop(); ` `        ``q.push(q2.front()); ` `        ``q2.pop(); ` `    ``} ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``// Creating an example queue with 10 ` `    ``// elements. ` `    ``queue<``int``> q; ` `    ``for` `(``int` `i = 1; i <= 10; i++)  ` `        ``q.push(i);   ` ` `  `    ``interleave(q); ` ` `  `    ``// Printing queue elements ` `    ``int` `n = q.size(); ` `    ``for` `(``int` `i = 0; i < n; i++) { ` `        ``cout << q.front() << ``" "``; ` `        ``q.pop(); ` `    ``} ` `} `

Output:

```1 6 2 7 3 8 4 9 5 10
```

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