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A. Fast Food Restaurant

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputTired of boring office work, Denis decided to open a fast food restaurant.

On the first day he made $$$a$$$ portions of dumplings, $$$b$$$ portions of cranberry juice and $$$c$$$ pancakes with condensed milk.

The peculiarity of Denis's restaurant is the procedure of ordering food. For each visitor Denis himself chooses a set of dishes that this visitor will receive. When doing so, Denis is guided by the following rules:

- every visitor should receive at least one dish (dumplings, cranberry juice, pancakes with condensed milk are all considered to be dishes);
- each visitor should receive no more than one portion of dumplings, no more than one portion of cranberry juice and no more than one pancake with condensed milk;
- all visitors should receive different sets of dishes.

What is the maximum number of visitors Denis can feed?

Input

The first line contains an integer $$$t$$$ ($$$1 \le t \le 500$$$) — the number of test cases to solve.

Each of the remaining $$$t$$$ lines contains integers $$$a$$$, $$$b$$$ and $$$c$$$ ($$$0 \leq a, b, c \leq 10$$$) — the number of portions of dumplings, the number of portions of cranberry juice and the number of condensed milk pancakes Denis made.

Output

For each test case print a single integer — the maximum number of visitors Denis can feed.

Example

Input

7

1 2 1

0 0 0

9 1 7

2 2 3

2 3 2

3 2 2

4 4 4

Output

3

0

4

5

5

5

7

Note

In the first test case of the example, Denis can feed the first visitor with dumplings, give the second a portion of cranberry juice, and give the third visitor a portion of cranberry juice and a pancake with a condensed milk.

In the second test case of the example, the restaurant Denis is not very promising: he can serve no customers.

In the third test case of the example, Denise can serve four visitors. The first guest will receive a full lunch of dumplings, a portion of cranberry juice and a pancake with condensed milk. The second visitor will get only dumplings. The third guest will receive a pancake with condensed milk, and the fourth guest will receive a pancake and a portion of dumplings. Please note that Denis hasn't used all of the prepared products, but is unable to serve more visitors.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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