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 Python (3.8.2) (judge verdict: Time Limit Exceeded)

import sys
import string

alphabets=list(string.ascii_lowercase)

s=input()

l=len(s)

hm = lambda a,string: sum([x==a for x in string])

for x in range(l-1):
  if s[x]==s[x+1]:
    print('{} {}'.format(x+1, x+2))
    sys.exit()

for m in range(3,l,2):
  for n in range(l-m):
    for a in alphabets:
      if hm(a,s[n:n+m])> m//2:
        print('{} {}'.format(n+1,n+m))
        sys.exit()
print('-1 -1')