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.util.*;
import java.io.*;

public class G3C {
	static int n;
	static ArrayList<String> ans = new ArrayList<String>();
	static int[] arr;
	static int[] find;

	public static void main(String[] args) {
		JS scan = new JS();
		n = scan.nextInt();
		arr = new int[n];
		find = new int[n];
		PrintWriter out = new PrintWriter(System.out);
		
		for(int i = 0; i < n; i++) {
			arr[i] = scan.nextInt()-1;
			find[arr[i]] = i;
		}
		for(int i = 0; i < n; i++) {
			//System.out.println(i);
			//System.out.println(Arrays.toString(arr));
			//System.out.println(Arrays.toString(find));
			//System.out.println("_______________________________");
			if(i != arr[i])
				place(find[i], i);
		}
		
		boolean good = true;
		for(int i = 0; i < n-1; i++) {
			if(arr[i] > arr[i+1]) good = false;
		}
		out.println(ans.size());
		for(int i = 0; i < ans.size(); i++) out.println(ans.get(i));
		if(!good) out.println("***FAIL***");
		out.flush();
	}
	
	//5 step max swap
	static void place(int from, int to) {
		if(simple_swap(from, to)) {
			//System.out.println("Should be here");
			add_swap(from, to);
			return;
		}
		
		int at = -1;
		if(from >= n/2) {
			at = 0;
			simple_swap(from, 0);
			add_swap(from, 0);
		}
		else {
			at = n-1;
			simple_swap(from, n-1);
			add_swap(from, n-1);
		}
		
		//done after one swap - undo
		if(simple_swap(at, to)) {
			add_swap(at, to);
			simple_swap(from, at);
			add_swap(from, at);
			return;
		}
		
		//if i couldnt do it, go to the other side
		if(at == 0) at = n-1;
		else at = 0;
		simple_swap(0, n-1);
		add_swap(0, n-1);
		
		if(simple_swap(at, to)) {
			add_swap(at, to);
			simple_swap(0, n-1);
			add_swap(0, n-1);
			if(at == 0) at = n-1;
			else at = 0;
			simple_swap(from, at);
			add_swap(from, at);
			return;
		}
	}
	
	static void add_swap(int i, int j) {
		ans.add((i+1)+" "+(j+1));
	}
	
	static boolean simple_swap(int i, int j) {
		//System.out.println(i-j);
		if(Math.abs(i-j)*2 >= n) {
			int temp = arr[i];
			arr[i] = arr[j];
			arr[j] = temp;
			find[arr[i]] = i;
			find[arr[j]] = j;
			return true;
		}
		return false;
	}

	static class JS{
		public int BS = 1<<16;
		public char NC = (char)0;
		byte[] buf = new byte[BS];
		int bId = 0, size = 0;
		char c = NC;
		double num = 1;
		BufferedInputStream in;

		public JS() {
			in = new BufferedInputStream(System.in, BS);
		}

		public JS(String s) throws FileNotFoundException {
			in = new BufferedInputStream(new FileInputStream(new File(s)), BS);
		}

		public char nextChar(){
			while(bId==size) {
				try {
					size = in.read(buf);
				}catch(Exception e) {
					return NC;
				}				
				if(size==-1)return NC;
				bId=0;
			}
			return (char)buf[bId++];
		}

		public int nextInt() {
			return (int)nextLong();
		}

		public long nextLong() {
			num=1;
			boolean neg = false;
			if(c==NC)c=nextChar();
			for(;(c<'0' || c>'9'); c = nextChar()) {
				if(c=='-')neg=true;
			}
			long res = 0;
			for(; c>='0' && c <='9'; c=nextChar()) {
				res = (res<<3)+(res<<1)+c-'0';
				num*=10;
			}
			return neg?-res:res;
		}

		public double nextDouble() {
			double cur = nextLong();
			return c!='.' ? cur:cur+nextLong()/num;
		}

		public String next() {
			StringBuilder res = new StringBuilder();
			while(c<=32)c=nextChar();
			while(c>32) {
				res.append(c);
				c=nextChar();
			}
			return res.toString();
		}

		public String nextLine() {
			StringBuilder res = new StringBuilder();
			while(c<=32)c=nextChar();
			while(c!='\n') {
				res.append(c);
				c=nextChar();
			}
			return res.toString();
		}

		public boolean hasNext() {
			if(c>32)return true;
			while(true) {
				c=nextChar();
				if(c==NC)return false;
				else if(c>32)return true;
			}
		}
	}

}