Crazy Diamond

Description:

Input:

The first line contains a single integer $$$n$$$ ($$$2 \leq n \leq 3 \cdot 10^5$$$, $$$n$$$ is even) — the length of the permutation.

The second line contains $$$n$$$ distinct integers $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \le p_i \le n$$$) — the given permutation.

Output:

On the first line print $$$m$$$ ($$$0 \le m \le 5 \cdot n$$$) — the number of swaps to perform.

Each of the following $$$m$$$ lines should contain integers $$$a_i, b_i$$$ ($$$1 \le a_i, b_i \le n$$$, $$$|a_i - b_i| \ge \frac{n}{2}$$$) — the indices that should be swapped in the corresponding swap.

Note that there is no need to minimize the number of operations. We can show that an answer always exists.

Sample Input:

2
2 1

Sample Output:

1
1 2

Sample Input:

4
3 4 1 2

Sample Output:

4
1 4
1 4
1 3
2 4

Sample Input:

6
2 5 3 1 4 6

Sample Output:

3
1 5
2 5
1 4

Note:

In the first example, when one swap elements on positions $$$1$$$ and $$$2$$$, the array becomes sorted.

In the second example, pay attention that there is no need to minimize number of swaps.

In the third example, after swapping elements on positions $$$1$$$ and $$$5$$$ the array becomes: $$$[4, 5, 3, 1, 2, 6]$$$. After swapping elements on positions $$$2$$$ and $$$5$$$ the array becomes $$$[4, 2, 3, 1, 5, 6]$$$ and finally after swapping elements on positions $$$1$$$ and $$$4$$$ the array becomes sorted: $$$[1, 2, 3, 4, 5, 6]$$$.