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Finding Borders

Section problems

• Towers
• Playlist
• Money Sums
• Apartments
• Ferris Wheel
• Stick Lengths
• Traffic Lights
• Concert Tickets
• Finding Borders
• Finding Periods
• Minimal Rotation
• Minimizing Coins
• Missing Coin Sum
• Distinct Numbers
• Dice Combinations
• Collecting Numbers
• Maximum Subarray Sum

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If you notice incorrect translations in Contester, please let author know.

Time limit 4000/4000/4000/5000 ms. Memory limit 65000/65000/65000/65000 Kb. Difficulty Alpha


A border of a string is a prefix that is also a suffix of the string but not the whole string. For example, the borders of abcababcab are ab and abcab.

Your task is to find all border lengths of a given string.

Input

The only input line has a string of length n consisting of characters a–z.

Output

Print all border lengths of the string in increasing order.

Constraints
1≤n≤106

Example
Input:
abcababcab

Output:
2 5


Для отправки решений необходимо выполнить вход.

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