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.io.*;

public class Round359_div2_B {

    public static void main(String[] args) throws IOException {
        FastReader in = new FastReader(System.in);
        PrintWriter out = new PrintWriter(System.out);
        solve(in, out);
        out.flush();
    }


    public static void solve(FastReader in, PrintWriter out) {
        int n = in.readInt();

        int[] a = new int[n];
        for (int i = 0 ; i < n ; i++) {
            a[i] = in.readInt() - 1;
        }

        for (int i = 0 ; i < n ; i++) {
            getHome(i, a, out);
        }
    }

    private static void getHome(int fill, int[] a, PrintWriter out) {
        int minIdx = fill;
        for (int i = fill ; i < a.length ; i++) {
            if (a[i] < a[minIdx]) {
                minIdx = i;
            }
        }

        while (fill < minIdx) {
            swap(minIdx - 1, minIdx, a);
            out.printf("%d %d\n", (minIdx - 1) + 1, (minIdx) + 1); // +1 for 1-based indexing
            minIdx--;
        }
    }

    private static void swap(int i, int j, int[] a) {
        int tmp = a[i];
        a[i] = a[j];
        a[j] = tmp;
    }


    /**
     * Custom buffered reader. Faster than Scanner and BufferedReader + StringTokenizer.
     */
    static class FastReader {
        private final InputStream stream;
        private int current;
        private int size;
        private byte[] buffer = new byte[1024 * 8];

        public FastReader(InputStream stream) {
            this.stream = stream;
            current = 0;
            size = 0;
        }

        public int readInt() {
            int sign = 1;
            int abs = 0;
            int c = readNonEmpty();
            if (c == '-') {
                sign = -1;
                c = readAny();
            }
            do {
                if (c < '0' || c > '9') {
                    throw new IllegalStateException();
                }
                abs = 10 * abs + (c - '0');
                c = readAny();
            } while (!isEmpty(c));
            return sign * abs;
        }

        public int[] readIntArray(int n) {
            int[] array = new int[n];
            for (int i = 0 ; i < n ; i++) {
                array[i] = readInt();
            }
            return array;
        }

        public char readChar() {
            return (char) readNonEmpty();
        }

        public String readString() {
            StringBuffer sb = new StringBuffer();
            int c;
            do {
                c = readAny();
            } while (isEmpty(c));
            do {
                sb.append((char) c);
                c = readAny();
            } while (!isEmpty(c));
            return sb.toString();
        }

        private int readAny() {
            try {
                if (current >= size) {
                    current = 0;
                    size = stream.read(buffer);
                    if (size < 0) {
                        return -1;
                    }
                }
            } catch (IOException e) {
                throw new RuntimeException("Failed to readAny next byte", e);
            }
            return buffer[current++];
        }

        private int readNonEmpty() {
            int result;
            do {
                result = readAny();
            } while (isEmpty(result));
            return result;
        }

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