Viruses are usually bad for your health. How about fighting them with... other viruses? In
this problem, you need to find out how to synthesize such good viruses.
We have prepared for you a set of strings of the letters A, G, T and C. They correspond to the
DNA nucleotide sequences of viruses that we want to svnthesize, using the following operations:
* Adding a nucleotide either to the beginning or the end of the existing sequence
* Replicating the sequence, reversing the copied piece, and gluing it either to the beginmng or
to the end of the original (so that e.g., AGTC can become AGTCCTGA or CTGAAGTC).
We're concerned about efficiency, since we have very many such sequences, some of them verv
long. Find a wav to svnthesize them in a mmimum number of operations.
The first line of input contains the number of test cases T. The descriptions of the test cases
Each test case consists of a single line containing a non-empty string. The string uses only
the capital letters A, C, G and T and is not longer than 100 000 characters.
For each test case, output a single line containing the minimum total number of operations
necessary to construct the given sequence.