Little Petya likes arrays of integers a lot. Recently his mother has presented him one such array consisting of n elements. Petya is now wondering whether he can swap any two distinct integers in the array so that the array got unsorted. Please note that Petya can not swap equal integers even if they are in distinct positions in the array. Also note that Petya must swap some two integers even if the original array meets all requirements.

Array a (the array elements are indexed from 1) consisting of n elements is called sorted if it meets at least one of the following two conditions:

  1. a1 ≤ a2 ≤ ... ≤ an; 
  2. a1 ≥ a2 ≥ ... ≥ an. 



Help Petya find the two required positions to swap or else say that they do not exist.

Input

The first line contains a single integer n (1 ≤ n ≤ 105). The second line contains n non-negative space-separated integers a1, a2, ..., an — the elements of the array that Petya's mother presented him. All integers in the input do not exceed 109.

Output

If there is a pair of positions that make the array unsorted if swapped, then print the numbers of these positions separated by a space. If there are several pairs of positions, print any of them. If such pair does not exist, print -1. The positions in the array are numbered with integers from 1 to n.

Examples

Input

1
1


Output

-1


Input

2
1 2


Output

-1


Input

4
1 2 3 4


Output

1 2


Input

3
1 1 1


Output

-1

Note

In the first two samples the required pairs obviously don't exist.

In the third sample you can swap the first two elements. After that the array will look like this: 2 1 3 4. This array is unsorted.
import java.io.*;
import java.util.*;

public class Main {
    private IO io;
    private int ioMode = -1;
    private String problemName = "";
    private final String mjArgument = "master_j";

    public static void main(String programArguments[]) throws IOException{
        if(programArguments != null && programArguments.length > 0)
            new Main().run(programArguments[0]);
        else
            new Main().run(null);
    }

    private void run(String programArgument) throws IOException {
//         _______________________________________________ _________
//        |   Input Mode     |      Output Mode    | mode | comment |
//        |------------------|---------------------|----- |---------|
//        |   input.txt      |      System.out     |  0   |    mj   |
//        |   System.in      |      System.out     |  1   |  T / CF |
//        |<problemName>.in  |  <problemName>.out  |  2   |         |
//        |   input.txt      |      output.txt     |  3   |    C    |
//        |__________________|_____________________|______|_________|
        long nanoTime = 0;
        if(programArgument != null && programArgument.equals(mjArgument)) // mj
            ioMode = 0;
        else if(System.getProperty("ONLINE_JUDGE") != null) // T / CF
            ioMode = 1;
        else
            ioMode = 2;
        switch(ioMode){
            case -1:
                try{
                    throw new Exception("<ioMode> init failure") ;
                }catch (Exception e){
                    e.printStackTrace();
                }
                return;
            case 0:
                break;
            case 1:
                break;
            case 2:
                if(problemName.length() == 0){
                    try{
                        throw new Exception("<problemName> init failure");
                    }catch (Exception e){
                        e.printStackTrace();
                    }
                    return;
                }
            case 3:
                break;
        }
        io = new IO(ioMode, problemName);
        if(ioMode == 0){
            System.out.println("File output : \n<start>");
            System.out.flush();
            nanoTime = System.nanoTime();
        }
        solve();
        io.flush();
        if(ioMode == 0){
            System.out.println("</start>");
            long t = System.nanoTime() - nanoTime;
            int d3 = 1000000000, d2 = 1000000, d1 = 1000000;
            if(t>=d3)
                System.out.println(t/d3 + "." + t%d3 + " seconds");
            else if(t>=d2)
                System.out.println(t/d2 + "." + t%d2 + " millis");
            else if(t>=d1)
                System.out.println(t/d1 + "." + t%d1 + " millis");
            System.out.flush();
        }
    }

    private void solve() throws IOException {
        int n = io.nI(), a[] = new int[n];
        for(int i = 0; i < n; i++)
            a[i] = io.nI();
        if(n <= 2 || ordinary(a)){
            io.wln(-1);
            return;
        }
        for(int i = 0; i < n; i++)
            for(int j = i + 1; j < n; j++)
                if(a[i]!=a[j] && !sorted(a, i, j)){
                    i++;j++;
                    io.wln(i + " " + j);
                    return;
                }
        io.wln(-1);
    }//2.2250738585072012e-308

    private boolean ordinary(int a[]){
        for(int i = 1; i < a.length; i++)
            if(a[i - 1] != a[i])
                return false;
        return true;
    }

    private boolean sorted(int a[], int n1, int n2){
        int t, c = 0;
        t = a[n1]; a[n1] = a[n2]; a[n2] = t;
        for(int i = 1; i < a.length; i++)
            if(a[i] < a[i - 1]){
                c++;
                break;
            }
        for(int i = 1; i < a.length; i++)
            if(a[i] > a[i - 1]){
                c++;
                break;
            }
        t = a[n1]; a[n1] = a[n2]; a[n2] = t;
        return c <= 1;
    }

    /**
     * Input-output class
     * @author master_j
     * @version 0.2.4
     */
    @SuppressWarnings("unused")
    private class IO{
        private boolean alwaysFlush;
        StreamTokenizer in; PrintWriter out; BufferedReader br; Reader reader; Writer writer;
        public IO(int ioMode, String problemName) throws IOException{
            Locale.setDefault(Locale.US);
//         _______________________________________________ _________
//        |   Input Mode     |      Output Mode    | mode | comment |
//        |------------------|---------------------|----- |---------|
//        |   input.txt      |      System.out     |  0   |    mj   |
//        |   System.in      |      System.out     |  1   |  T / CF |
//        |<problemName>.in  |  <problemName>.out  |  2   |         |
//        |   input.txt      |      output.txt     |  3   |    C    |
//        |__________________|_____________________|______|_________|
            switch(ioMode){
                case 0:
                    reader = new FileReader("input.txt");
                    writer = new OutputStreamWriter(System.out);
                    break;
                case 1:
                    reader = new InputStreamReader(System.in);
                    writer = new OutputStreamWriter(System.out);
                    break;
                case 2:
                    reader = new FileReader(problemName + ".in");
                    writer = new FileWriter(problemName + ".out");
                    break;
                case 3:
                    reader = new FileReader("input.txt");
                    writer = new FileWriter("output.txt");
                    break;
            }
            br = new BufferedReader(reader);
            in = new StreamTokenizer(br);
            out = new PrintWriter(writer);
            alwaysFlush = false;
        }
        public void setAlwaysFlush(boolean arg){alwaysFlush = arg;}
        public void wln(){out.println(); if(alwaysFlush)flush();}
        public void wln(int arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(long arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(double arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(String arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(boolean arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(char arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(float arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(Object arg){out.println(arg); if(alwaysFlush)flush();}
        public void w(int arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(long arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(double arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(String arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(boolean arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(char arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(float arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(Object arg){out.print(arg); if(alwaysFlush)flush();}
        public void wf(String format, Object...args){out.printf(format, args); if(alwaysFlush)flush();}
        public void flush(){out.flush();}
        public int nI() throws IOException {in.nextToken(); return(int)in.nval;}
        public long nL() throws IOException {in.nextToken(); return(long)in.nval;}
        public String nS() throws IOException {in.nextToken(); return in.sval;}
        public double nD() throws IOException {in.nextToken(); return in.nval;}
        public float nF() throws IOException {in.nextToken(); return (float)in.nval;}
        public char nC() throws IOException {return (char)br.read();}
        public void wc(char...arg){for(char c : arg){in.ordinaryChar(c);in.wordChars(c, c);}}
        public void wc(String arg){wc(arg.toCharArray());}
        public void wc(char arg0, char arg1){in.ordinaryChars(arg0, arg1); in.wordChars(arg0, arg1);}
        public boolean eof(){return in.ttype == StreamTokenizer.TT_EOF;}
        public boolean eol(){return in.ttype == StreamTokenizer.TT_EOL;}
    }
}