DISUBSTR - Distinct Substrings

Given a string, we need to find the total number of its distinct substrings.

Input

T- number of test cases. T<=20;
Each test case consists of one string, whose length is <= 1000

Output

For each test case output one number saying the number of distinct substrings.

Example

Sample Input:
2
CCCCC
ABABA

Sample Output:
5
9

Explanation for the testcase with string ABABA:
len=1 : A,B
len=2 : AB,BA
len=3 : ABA,BAB
len=4 : ABAB,BABA
len=5 : ABABA
Thus, total number of distinct substrings is 9.


Added by:Prasanna
Date:2006-01-13
Time limit:0.5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource: ByteCode '06

hide comments
2017-03-31 14:12:27
The string will contain any character
2017-03-08 19:48:45
The strings will be in uppercase letters only...
2017-03-07 13:53:33
Lots of Learning then Finally AC!
2017-01-18 07:42:01
vector of suffixes of string and sorting 0.01s
2016-12-13 10:22:14
suffix tree :D
2016-10-29 20:46:52 Fabian Conejo
Try this case:
In:
1
AB
Out:
3
2016-10-22 08:30:59
I was kind of intimidated by this problem, because I thought the standard implementations were pretty complicated and I didn't want to learn all the nitty gritty details. Understanding how the LCP array and suffix array work together was enough, then I just constructed them ad hoc. The runtime was good enough at 0.02s, and I still got a lot out of it. I'll wait for harder problems to do the better big O constructions.

Last edit: 2016-10-22 08:31:29
2016-08-02 09:19:25
Learnt a whole lot about string algos through this problem. Probably the toughest one on strings I ever solved. Dont assume the characters to be alphabetical, dont subtract 'A' in deciding the rank. I got many WA's because of that.
2016-07-31 06:22:15
If you use suffix array, you can solve for O(n). So I was able to get 0.00s.
I made a similar problem "Substrings" (Japanese) in AtCoder.
This problem says:
"Print the sum of length of the all distinct substring in the string S?" and (length of S)<100000.
https://s8pc-2.contest.atcoder.jp/tasks/s8pc_2_e

Last edit: 2016-07-31 06:29:15
2016-07-13 01:59:16 deerishi
Awesome Problem!! Learnt a lot.
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