In his very young years the hero of our story, king Copa, decided that his private data was hidden not enough securely, what is unacceptable for the king. That's why he invented tricky and clever password (later he learned that his password is a palindrome of odd length), and coded all his data using it.

Copa is afraid to forget his password, so he decided to write it on a piece of paper. He is aware that it is insecure to keep password in such way, so he decided to cipher it the following way: he cut x characters from the start of his password and from the end of it (x can be 0, and 2x is strictly less than the password length). He obtained 3 parts of the password. Let's call it prefix, middle and suffix correspondingly, both prefix and suffix having equal length and middle always having odd length. From these parts he made a string A + prefix + B + middle + C + suffix, where A, B and C are some (possibly empty) strings invented by Copa, and « + » means concatenation.

Many years have passed, and just yesterday the king Copa found the piece of paper where his ciphered password was written. The password, as well as the strings A, B and C, was completely forgotten by Copa, so he asks you to find a password of maximum possible length, which could be invented, ciphered and written by Copa.

Input

The input contains single string of small Latin letters with length from 1 to 10⁵ characters.

Output

The first line should contain integer k — amount of nonempty parts of the password in your answer ( $\text{[math]}$ ). In each of the following k lines output two integers x_i and l_i — start and length of the corresponding part of the password. Output pairs in order of increasing x_i. Separate the numbers in pairs by a single space.

Starting position x_i should be an integer from 1 to the length of the input string. All l_i must be positive, because you should output only non-empty parts. The middle part must have odd length.

If there are several solutions, output any. Note that your goal is to maximize the sum of l_i, but not to maximize k.

✓	#	Name		✎	Rating↕	Solved↕
	1887C	Minimum Array binary search brute force constructive algorithms data structures greedy hashing two pointers			2400	2.3k
	30E	Tricky and Clever Password binary search constructive algorithms data structures greedy hashing strings			2800	961

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