POJ 2752Seek The Name, Seek the Fame "KMP"

Seek the Name, seek the Fame

Time Limit: 2000MS		Memory Limit: 65536K
Total Submissions: 14154		Accepted: 7049

Description

The little cat is so famous, which many couples tramp over Hill and Dale to Byteland, and asked the little cat to give name s to their newly-born babies. They seek the name, and at the same time seek the fame. In order-to-escape from such boring job, the innovative little cat works out a easy but fantastic algorithm:

Step1. Connect The father ' s name and the mother ' s name, to a new string s.
Step2. Find a proper Prefix-suffix string of s (which is isn't only the prefix, but also the suffix of s).

Example:father= ' ala ', mother= ' La ', we have S = ' ala ' + ' la ' = ' alala '. Potential prefix-suffix strings of S is {' A ', ' ala ', ' Alala '}. Given the string S, could the little cat to write a program to calculate the length of possible prefix-suffix str Ings of S? (He might thank you by giving your baby a name:)

Input

The input contains a number of test cases. Each test case occupies a, contains the string S described above.

Restrictions:only lowercase letters may appear in the input. 1 <= Length of S <= 400000.

Output

For each test case, output a single line with an integer numbers in increasing order, denoting the possible length of the new Baby ' s name.

Sample Input

Ababcababababcababaaaaa

Sample Output

2 4 9 181 2 3 4 5

Source

POJ Monthly--2006.01.22,zeyuan Zhu Analysis: The meaning is that the next array of numbers from small to large output. Code:

Copyright notice: Bo Master lover, outsiders mistakenly touch!!!

POJ 2752Seek The Name, Seek the Fame "KMP"