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|1 초||128 MB||16||3||2||14.286%|
A group of pirates is travelling in a convoy of ships, sailing in a row. However, the pirate captain is starting to lose control, and some disloyal pirates are ready to mute. As soon as on any ship S, the number of loyal pirates on S is outnumbered by the combined number of disloyal pirates on S, the previous ship (if S is not the first), and the next ship (if S is not the last) in the convoy, the disloyal pirates on these ships will row to S and take it over. To prevent an outbreak of mutiny, the captain decides to distribute the loyal and disloyal pirates over the ships in such a way that the disloyal pirates cannot capture any ship. Of course, each ship must have at least one loyal pirate to operate the ship.
The first line of the input contains a single number: the number of test cases to follow. Each test case has the following format:
For every test case in the input, the output should contain one integer on a single line: the maximum number of disloyal pirates that the captain can distribute over the ships such that the disloyal pirates cannot capture any ship.
3 1 3 3 4 3 16
1 1 5