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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastReader in = new FastReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        CCrazyDiamond solver = new CCrazyDiamond();
        solver.solve(1, in, out);
        out.close();
    }

    static class CCrazyDiamond {
        private int[] ra;
        private int[] rb;
        private int rcnt;
        int[] p;
        int n;

        public void solve(int testNumber, FastReader in, PrintWriter out) {
            n = in.nextInt();
            p = new int[n];
            for (int i = 0; i < n; ++i) {
                p[i] = in.nextInt() - 1;
            }
            ra = new int[5 * n];
            rb = new int[5 * n];
            rcnt = 0;
            for (int i = 0; i < n; ++i) {
                while (p[i] != i) {
                    int j = p[i];
                    swap(i, j);
                }
            }
            out.println(rcnt);
            for (int i = 0; i < rcnt; ++i) {
                ++ra[i];
                ++rb[i];
                out.println(ra[i] + " " + rb[i]);
            }
        }

        private void swap(int i, int j) {
            if (2 * Math.abs(i - j) >= n) {
                ra[rcnt] = i;
                rb[rcnt] = j;
                int t = p[i];
                p[i] = p[j];
                p[j] = t;
                ++rcnt;
            } else if (2 * Math.abs(i) >= n && 2 * Math.abs(j) >= n) {
                swap(i, 0);
                swap(j, 0);
                swap(i, 0);
            } else if (2 * Math.abs(n - i - 1) >= n && 2 * Math.abs(n - j - 1) >= n) {
                swap(i, n - 1);
                swap(j, n - 1);
                swap(i, n - 1);
            } else {
                if (i > j) {
                    swap(j, i);
                } else {
                    swap(i, n - 1);
                    swap(0, n - 1);
                    swap(0, j);
                    swap(0, n - 1);
                    swap(i, n - 1);
                }
            }
        }

    }

    static class FastReader {
        private InputStream stream;
        private byte[] buf = new byte[8192];
        private int curChar;
        private int pnumChars;

        public FastReader(InputStream stream) {
            this.stream = stream;
        }

        private int pread() {
            if (pnumChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= pnumChars) {
                curChar = 0;
                try {
                    pnumChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (pnumChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = pread();
            while (isSpaceChar(c))
                c = pread();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = pread();
            }
            int res = 0;
            do {
                if (c == ',') {
                    c = pread();
                }
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = pread();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }
}