Problem: Little Robber Girl likes to scare animals in her zoo for fun. She decided to arrange the animals in a row in the order of non-decreasing height. However, the animals were so scared that they couldn't stay in the right places.

The robber girl was angry at first, but then she decided to arrange the animals herself. She repeatedly names numbers l and r such that r - l + 1 is even. After that animals that occupy positions between l and r inclusively are rearranged as follows: the animal at position l swaps places with the animal at position l + 1, the animal l + 2 swaps with the animal l + 3, ..., finally, the animal at position r - 1 swaps with the animal r.

Help the robber girl to arrange the animals in the order of non-decreasing height. You should name at most 20 000 segments, since otherwise the robber girl will become bored and will start scaring the animals again.

Input

The first line contains a single integer n (1 ≤ n ≤ 100) — number of animals in the robber girl's zoo.

The second line contains n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109), where ai is the height of the animal occupying the i-th place.

Output

Print the sequence of operations that will rearrange the animals by non-decreasing height.

The output should contain several lines, i-th of the lines should contain two space-separated integers li and ri (1 ≤ li < ri ≤ n) — descriptions of segments the robber girl should name. The segments should be described in the order the operations are performed.

The number of operations should not exceed 20 000.

If the animals are arranged correctly from the start, you are allowed to output nothing.

Examples

Input

4
2 1 4 3


Output

1 4


Input

7
36 28 57 39 66 69 68


Output

1 4
6 7


Input

5
1 2 1 2 1


Output

2 5
3 4
1 4
1 4

Note

Note that you don't have to minimize the number of operations. Any solution that performs at most 20 000 operations is allowed.

Solution (in JAVA):

Solution:
import java.util.*;
import java.util.prefs.BackingStoreException;

import javax.swing.plaf.multi.MultiSeparatorUI;

import java.io.*;
import java.lang.reflect.Array;
import java.math.BigInteger;
import java.math.MathContext;
import java.text.DecimalFormat;
import java.text.Format;

import static java.lang.Math.*;
import static java.util.Arrays.*;
import static java.util.Collections.*;

import java.awt.List;


 
 
public class Main {
	public static void main(String[] args) throws Exception{
		InputReader in = new InputReader(System.in);
		PrintWriter out = new PrintWriter(System.out);
		TaskA solver = new TaskA();
		solver.solve(1, in, out);
		out.close();
	}

static class TaskA {
	//public ArrayList<Integer> ar;
	public boolean[] bs;
	
  // GCD && LCM 
	 long gcd(long a ,long b){return b == 0 ? a : gcd(b , a % b);}
	 long lcm(long a , long b){return a*(b/gcd(a, b));}
	
  // Sieve of erothenese
	void sieve(int UB ){
		//ar = new ArrayList();
		bs = new boolean[UB+1];
		bs[0] = bs[1] = true;
		for(int i = 2; i*i <= UB; i++){
			if(!bs[i]){
				for(int j = i*i ; j <= UB ; j += i)
					bs[j] = true;
			}
		}
		// for(int i = 2; i <= UB; i++){
		  //    if(!bs[i])ar.add(i);
		//}
	}
	
	// REverse a String 
	
	String rev(String s){
		return new StringBuilder(s).reverse().toString();
	}
	
	// all pair shortest path
	
	public int[][] ShortestPath(int n , int[][] grid){
		
		for(int k = 1; k <= n; k++){
        	for(int i = 1; i <= n; i++){
        		for(int j = 1; j <= n; j++){
        			grid[i][j] = min(grid[i][j] , grid[i][k] + grid[k][j]);
        		}
        	}
        }
		return grid;
	}
	
	
	/*          SOLUTION  IS RIGHT HERE     */
	
	
	public void solve(int testNumber, InputReader in, PrintWriter out){
		 // n br = new BufferedReader(new InputStreamReader(System.in));
		 // Scanner sc = new Scanner(System.in);
		
		int n = in.nextInt();
		Integer[] a = new Integer[n];
		
		for(int i = 0; i < n; i++)
			a[i] = in.nextInt() ;
		
		for(int i = n-1 ; i >= 0; i--){
			for(int j = 0; j < i; j++){
				if(a [j] > a[j+1]){
					out.println((j+1) + " " + (j+2));
					Integer t = a[j];
					a[j] = a[j+1];
					a[j+1] = t;
				}
			}
		}
		
		//out.println(res%2);
	}
	
}  

   // union
 static class dsu{
	 int[] union , size;
	 
	 public dsu(int n){
		 union = new int[n+1];
		 size = new int[n+1];
		 for(int i = 0; i <= n; i++){
			 union[i] = i;
			 size[i] = 1;
		 }
	 }
	 public int root(int s){
		 while(s != union[s])
			 s = union[s];
		 return s;
	 }
	 
	 public boolean connected(int a , int b){
	    return root(a) == root(b);
	 }
	 
	 public void union(int a, int b){
		 int ea = root(a);
		 int eb = root(b);
		 if(a == b);
		 else if(size[ea] > size[eb]){
			 union[eb] = ea;
			 size[ea] += size[eb];
		 }else{
			union[ea] = eb;
			size[eb] += size[ea];
		 }
	 }
	 
 }
  // pair class
 static class pair implements Comparable<pair>{
	 int first , second ;
	 public pair(){this.first = 0; this.second = 0;}
	 public pair(int f , int s){
		 this.first = f;
		 this.second = s;
	 }
	@Override
	public int compareTo(pair one) {
		if(this.first < one.first)
			return -1;
		if(this.first > one.first)
			return 1;
		if(this.second < one.second)
			return -1;
		if(this.second > one.second)
		    return 1;
		return 0;
	}
	 
 }
  
 // ||||||| INPUT READER ||||||||
 static class InputReader {
	private byte[] buf = new byte[8000];
	private int index;
	private int total;
	private InputStream in;
	
	public InputReader(InputStream stream){
		in = stream;
	}
	
	public int scan(){
		if(total == -1)
			throw new InputMismatchException();
		if(index >= total){
			index = 0; 
			try{
			total = in.read(buf);
			}catch(IOException e){
			   throw new InputMismatchException();
			}
			if(total <= 0)
				return -1;
		}
		return buf[index++];
	}
	public long scanlong(){
		long integer = 0;
		int n = scan();
		while(isWhiteSpace(n))
			n = scan();
		int neg = 1;
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n)){
			if(n >= '0' && n <= '9'){
				integer *= 10;
				integer += n - '0';
				n = scan();
			}
			else throw new InputMismatchException();
		}
		return neg*integer;
	}
	
	private int scanInt() {
		int integer = 0;
		int n = scan();
		while(isWhiteSpace(n))
			n = scan();
		int neg = 1;
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n)){
			if(n >= '0' && n <= '9'){
				integer *= 10;
				integer += n - '0';
				n = scan();
			}
			else throw new InputMismatchException();
		}
		return neg*integer;
	}
	
	public double scandouble(){
		double doubll = 0;
		int n = scan();
		int neg = 1;
		while(isWhiteSpace(n))
			n = scan();
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n) && n != '.'){
			if(n >= '0' && n <= '9'){
				doubll *= 10;
				doubll += n - '0';
				n = scan();
			}
		}
		if(n == '.'){
			n = scan();
			double temp = 1;
			while(!isWhiteSpace(n)){
				if(n >= '0' && n <= '9'){
					temp /= 10;
					doubll += (n - '0')*temp;
					n = scan();
				}
			}
		}
		return neg*doubll;
	}
	
	private float scanfloat() {
		float doubll = 0;
		int n = scan();
		int neg = 1;
		while(isWhiteSpace(n))
			n = scan();
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n) && n != '.'){
			if(n >= '0' && n <= '9'){
				doubll *= 10;
				doubll += n - '0';
				n = scan();
			}
		}
		if(n == '.'){
			n = scan();
			double temp = 1;
			while(!isWhiteSpace(n)){
				if(n >= '0' && n <= '9'){
					temp /= 10;
					doubll += (n - '0')*temp;
					n = scan();
				}
			}
		}
		return neg*doubll;
	}
	public String scanstring(){
		StringBuilder sb = new StringBuilder();
		int n = scan();
		while(isWhiteSpace(n))
			n = scan();
		while(!isWhiteSpace(n)){
			sb.append((char)n);
			n = scan();
		}
		return sb.toString();
	}
	
	
	public boolean isWhiteSpace(int n){
		if(n == ' ' || n == '\n' || n == '\r' || n == '\t' || n == -1)
			return true;
		return false;
	}
/// Input module 	
	
	public int nextInt(){
	  return scanInt();
	}
	
	public long nextLong(){
		  return  scanlong();
		}
	
	public double nextDouble(){
		  return  scandouble();
		}
	
	public float nextFloat(){
		  return scanfloat();
		}

	public String next(){
		return scanstring();
	}
	
	public int[] readIntArray(int size)  {
        int[] array = new int[size];
        for (int i = 0; i < size; i++) {
            array[i] = nextInt();
        }
        return array;
    }
}
 
}