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 Haskell (GHC 7.10.3) (judge verdict: Time Limit Exceeded)

main :: IO ()

main = do
    s <- getLine :: IO String
    let ans = solve $ s
    let result = if fst ans == snd ans then (-1,-1) else ans
    putStr $ show $ fst result
    putStr " "
    putStr $ show $ snd result

solve :: String -> (Int,Int)
solve (x:xs) =
    if length xs == 0
        then
            (-1,-1)
        else
            if x == xs !! 0
                then
                    (1,2)
            else if length xs >= 2 && x == xs !! 1
                then
                    (1,3)
                else
                    (1 + fst t,1 + snd t)
                        where
                            t = solve xs