AE5A2 - Quasi-template
A template of a word v is such a word s that all occurrences of s within v cover the whole word v (i.e. each letter of the word v appears within some fragment of consecutive letters of v equal to s). By quasi-template of a word v we mean such a word s that s is a substring (i.e. a fragment of consecutive letters) of v and s is a template of some superstring of v. The figure below shows why the word aabaa is a quasi-template of the word aaaabaabaaaba:
For a given word v we would like to compute the number of its quasi-templates and the shortest one of them.
Input
The only line of the standard input contains a non-empty word v that is not longer than 200000 letters. It consists of small letters of English alphabet.
Output
The first line of the standard output should contain the number of quasi-templates of word v. The second line should contain the shortest word being a quasi-template of word v. If there is more than one such shortest word, output the lexicographically smallest from the shortest quasi-templates.
Example
For the input data:
aaaabaabaaaba
the correct result is:
10 aabaa
The word from the sample input has 10 quasi-templates: aaaabaabaaab, aaaabaabaaaba, aaabaaba, aaabaabaa, aaabaabaaa, aaabaabaaaba, aabaa, aabaabaa, aabaabaaa, and abaabaaa.
Added by: | Race with time |
Date: | 2009-05-03 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |
Resource: | Algorithmic Engagements 2009 |