Problem:
Score : 400 points

Problem Statement

Given a string t, we will call it unbalanced if and only if the length of t is at least 2, and more than half of the letters in t are the same. For example, both voodoo and melee are unbalanced, while neither noon nor a is.

You are given a string s consisting of lowercase letters. Determine if there exists a (contiguous) substring of s that is unbalanced. If the answer is positive, show a position where such a substring occurs in s.

Constraints

2 ≦ |s| ≦ 10^5

s consists of lowercase letters.

Partial Score

200 points will be awarded for passing the test set satisfying 2 ≦ N ≦ 100.

Input

The input is given from Standard Input in the following format:

s

Output

If there exists no unbalanced substring of s, print -1 -1.

If there exists an unbalanced substring of s, let one such substring be s_a s_{a+1} ... s_{b} (1 ≦ a < b ≦ |s|), and print a b. If there exists more than one such substring, any of them will be accepted.

Sample Input 1

needed

Sample Output 1

2 5

The string s_2 s_3 s_4 s_5 = eede is unbalanced. There are also other unbalanced substrings. For example, the output 2 6 will also be accepted.

Sample Input 2

atcoder

Sample Output 2

-1 -1

The string atcoder contains no unbalanced substring.

Solution in C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Linq;

namespace AtCoder.ABC043
{
    class ProblemC
    {
        static void Main()
        {
            var text = ReadLine().ToArray();

            for (var i = 2; i <= text.Length; i++)
            {
                for (var j = 0; j < text.Length - i + 1; j++)
                {
                    if (text.Skip(j).Take(i).GroupBy(v => v).Any(v => v.Count() * 2 > i))
                    {
                        Console.WriteLine($"{j + 1} {j + i}");
                        return;
                    }
                }
            }
            Console.WriteLine($"{-1} {-1}");
        }

        public static string ReadLine() => Console.ReadLine();

        public static int ReadInt() => int.Parse(ReadLine());

        public static int[] ReadIntArray() => ReadLine().Split(' ').Select(v => int.Parse(v)).ToArray();
    }
}