14352 - 2024_DS_Summer_Assignment2_pA   

Description

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 nnn consisting of characters a–z.

Constraints

  • 1 ≤ n ≤ 106

Output

Print all border lengths of the string in increasing order.

Sample Input  Download

Sample Output  Download

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