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.IOException;
import java.io.InputStream;
import java.util.NoSuchElementException;

public class Main {
    private static FastScanner sc = new FastScanner();
    private static boolean DEBUG_FLG = false;
    static int[] p;
    static int[] id;
    static int swapnum = 0;

    public static void main(String[] args) {
    	int n = sc.nextInt();
    	p = new int[n+1];
    	id = new int[n+1];
    	for(int i=1; i<=n; i++) {
    		p[i] = sc.nextInt();
    		id[p[i]] = i;
    	}
    	StringBuilder sb = new StringBuilder();
    	for(int i=1; i<=n/2; i++) {
    		int idx = n/2 + 1 - i;
    		if(id[idx] < idx) {
    			sb.append(id[idx] + " " + n + "\n");
    			swap(p[id[idx]], p[n]);
    			sb.append(idx + " " + n + "\n");
    			swap(p[idx], p[n]);
    		} else if(id[idx] > idx) {
    			if(id[idx] - idx >= n/2) {
    				sb.append(id[idx] + " " + idx + "\n");
        			swap(p[idx], p[id[idx]]);
    			} else {
    				sb.append(1 + " " + id[idx] + "\n");
        			swap(p[id[idx]], p[1]);
        			sb.append(1 + " " + n + "\n");
        			swap(p[1], p[n]);
        			sb.append(idx + " " + n + "\n");
        			swap(p[idx], p[n]);
    			}
    		}

    		idx += i*2 - 1;
    		if(id[idx] > idx) {
    			sb.append(id[idx] + " " + 1 + "\n");
    			swap(p[id[idx]], p[1]);
    			sb.append(idx + " " + 1 + "\n");
    			swap(p[idx], p[1]);
    		} else if(id[idx] < idx) {
    			if(idx - id[idx] >= n/2) {
    				sb.append(id[idx] + " " + idx + "\n");
        			swap(p[idx], p[id[idx]]);
    			} else {
    				sb.append(n + " " + id[idx] + "\n");
        			swap(p[id[idx]], p[n]);
        			sb.append(1 + " " + n + "\n");
        			swap(p[1], p[n]);
        			sb.append(idx + " " + 1 + "\n");
        			swap(p[idx], p[1]);
    			}
    		}
    	}
    	System.out.println(swapnum);
    	System.out.print(sb);
    }

    static void swap(int x1, int x2) {
    	p[id[x1]] = x2;
		p[id[x2]] = x1;
		int tmp = id[x1];
		id[x1] = id[x2];
		id[x2] = tmp;
		swapnum++;
    }

    static void debug(long... args) {
    	if(!DEBUG_FLG) return;
    	boolean flg = false;
    	for(long s : args) {
    		if(flg) System.out.print(" ");
    		flg = true;
    		System.out.print(s);
    	}
    	System.out.println();
    }

    static class FastScanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        private boolean hasNextByte() {
            if(ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch(IOException e) {
                    e.printStackTrace();
                }
                if(buflen <= 0) {
                    return false;
                }
            }
            return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
        public boolean hasNext() { skipUnprintable(); return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            return Long.parseLong(next());
        }
        public int nextInt(){
            return Integer.parseInt(next());
        }
        public double nextDouble(){
            return Double.parseDouble(next());
        }
    }
}