Problem: You are given a permutation p of integers from 1 to n, where n is an even number. 

Your goal is to sort the permutation. To do so, you can perform zero or more operations of the following type: 

  * take two indices i and j such that 2 ⋅ |i - j| ≥ n and swap p_i and p_j. 



There is no need to minimize the number of operations, however you should use no more than 5 ⋅ n operations. One can show that it is always possible to do that.

Input

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

The second line contains n distinct integers p_1, p_2, …, p_n (1 ≤ p_i ≤ n) — the given permutation.

Output

On the first line print m (0 ≤ m ≤ 5 ⋅ n) — the number of swaps to perform.

Each of the following m lines should contain integers a_i, b_i (1 ≤ a_i, b_i ≤ n, |a_i - b_i| ≥ 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.

Examples

Input


2
2 1


Output


1
1 2

Input


4
3 4 1 2


Output


4
1 4
1 4
1 3
2 4


Input


6
2 5 3 1 4 6


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].

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Collections;
import java.util.HashMap;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.Scanner;
import java.util.StringTokenizer;

public class Main {
	public static Scanner cin = new Scanner(System.in);
	public static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
	PrintWriter pw = new PrintWriter(System.out);
	StringTokenizer st = null;
//	List<List<Long>> list;
	long MOD = 998244353L;
	static long MAX = (long)1e12;
	int n, m;
	int a[], b[];
	List<AC> ans = null;
	int c;
	StringBuffer sb = new StringBuffer();
	class AC {
		int x, y;
		public AC(int i, int j) {
			x = i;
			y = j;
		}
	};
	public void wf(int i, int j) {
		int t = a[i];
		a[i] = a[j];
		a[j] = t;
		b[a[i]] = i;
		b[a[j]] = j;
//		ans.add(new AC(i, j));
//		testShow();
		c++;
		sb.append(i).append(" ").append(j).append("\n");
	}
	public void testShow() {
		for (int i = 1; i <= n; i++) {
			System.out.printf("%d ", a[i]);
		}
		System.out.println();
	}
	public void solve() throws Exception {
		n = cin.nextInt();
		a = new int[n+1];
		b = new int[n+1];
		c = 0;
		sb = new StringBuffer();
		for (int i = 1; i <= n; i++) {
			a[i] = cin.nextInt();
			b[a[i]] = i;
		}
		ans = new ArrayList<>();
		
		for (int i = 2; i <= n / 2; i++) {
			if (i == b[i]) {
				continue;
			}
			if (2*(b[i] - i) >= n) {
				wf(i, b[i]);
			} else if (b[i] <= n/2){
				wf(b[i], n);
				wf(n, i);
			} else {
				wf(b[i], 1);
				wf(1, n);
				wf(n, i);
			}
		}
		for (int i = n / 2 + 1; i < n; i++) {
			if (i == b[i]) {
				continue;
			}
			if (b[i] != 1) {
				wf(b[i], 1);
			}
			wf(1, i);
		}
		if (b[1] != 1) {
			wf(1, n);
		}
		pw.println(c);
		pw.print(sb.toString());
		pw.flush();
		pw.close();		
	}
	class GCDOBJ {
		long x, y;
	}
	int gcd(int x, int y) {
		if (x % y == 0) {
			return y;
		}
		return gcd(y, x % y);
	}
	long extended_gcd(long a, long b, GCDOBJ obj) {
		long ret, tmp;
		if (b == 0) {
			obj.x = 1;
			obj.y = 0;
			return a;
		}
		ret = extended_gcd(b, a % b, obj);
		tmp = obj.x;
		obj.x = obj.y;
		obj.y = tmp - a / b * obj.y;
		return ret;
	}
	
	long getRs(long a, long b, long n) {
		GCDOBJ obj = new GCDOBJ();
		long d = extended_gcd(a, n, obj);
		long x0 = obj.x * (b / d) % n;
		if (x0 < 0) {
			x0 += n;
		}
		return x0;
	}
	public static void main(String [] args) {
		Main t = new Main();
//		int tc = cin.nextInt();
		try {
//			while (tc-- > 0)  {
			while (cin.hasNext()) { 
				t.solve();
			}
		} catch (Exception e) {
			// TODO Auto-generated catch block
			e.printStackTrace();
		}
		t.pw.close();
	}
	
	
}