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String analysis often arises in applications from biology
and chemistry, such as the study of DNA and protein molecules.
One interesting problem is to find how many substrings are
repeated (at least twice) in a long string.
In this problem, you will write a program to find the total
number of repeated substrings in a string of at most
$100\, 000$ alphabetic
characters. Any unique substring that occurs more than once is
counted. As an example, if the string is “aabaab”, there are 5
repeated substrings: “a”, “aa”, “aab”, “ab”, “b”. If the string
is “aaaaa”, the repeated substrings are “a”, “aa”, “aaa”,
“aaaa”. Note that repeated occurrences of a substring may
overlap (e.g. “aaaa” in the second case).
Input
The input consists of at most 10 cases. The first line
contains a positive integer, specifying the number of cases to
follow. Each of the following line contains a nonempty string
of up to $100\, 000$
alphabetic characters.
Output
For each line of input, output one line containing the
number of unique substrings that are repeated. You may assume
that the correct answer fits in a signed 32bit integer.
Sample Input 1 
Sample Output 1 
3
aabaab
aaaaa
AaAaA

5
4
5
