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41. Finding Borders

Volume problems

• 33. Concert Tickets
• 34. Maximum Subarray Sum
• 35. Stick Lengths
• 36. Missing Coin Sum
• 37. Collecting Numbers
• 38. Playlist
• 39. Towers
• 40. Traffic Lights
• 41. Finding Borders
• 42. Money Sums
• 43. Finding Periods
• 44. Minimal Rotation
• 45. Static Range Sum Queries

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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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