CF1849A.Morning Sandwich

Monocarp always starts his morning with a good ol' sandwich. Sandwiches Monocarp makes always consist of bread, cheese and/or ham.

A sandwich always follows the formula:

• a piece of bread
• a slice of cheese or ham
• a piece of bread
• $\dots$
• a slice of cheese or ham
• a piece of bread

So it always has bread on top and at the bottom, and it alternates between bread and filling, where filling is a slice of either cheese or ham. Each piece of bread and each slice of cheese or ham is called a layer.

Today Monocarp woke up and discovered that he has $b$ pieces of bread, $c$ slices of cheese and $h$ slices of ham. What is the maximum number of layers his morning sandwich can have?

Monocarp 总是以一个美味的三明治开启他美好的早晨。Monocarp 制作的三明治总是由面包、奶酪和/或火腿组成。

一个三明治始终遵循如下结构：

• 一片面包
• 一片奶酪或一片火腿
• 一片面包
• $\dots$
• 一片奶酪或一片火腿
• 一片面包

因此，三明治顶部和底部必定是面包，并且面包与夹心层交替出现，其中夹心层为一片奶酪或一片火腿。每一片面包、每一片奶酪或每一片火腿都称为一层（layer）。

今天 Monocarp 醒来后发现，他手头有 $b$ 片面包、$c$ 片奶酪和 $h$ 片火腿。那么，他今天的早餐三明治最多能有多少层？

The first line contains a single integer $t$ ($1 \le t \le 1000$) — the number of testcases.

Each testcase consists of three integers $b, c$ and $h$ ($2 \le b \le 100$; $1 \le c, h \le 100$) — the number of pieces of bread, slices of cheese and slices of ham, respectively.

第一行包含一个整数 $t$（$1 \le t \le 1000$）—— 测试用例的数量。

每个测试用例包含三个整数 $b, c$ 和 $h$（$2 \le b \le 100$；$1 \le c, h \le 100$）—— 分别表示面包片数、奶酪片数和火腿片数。

For each testcase, print a single integer — the maximum number of layers Monocarp's morning sandwich can have.

对于每个测试用例，输出一个整数——Monocarp 的早餐三明治最多能有多少层。

In the first testcase, Monocarp can arrange a sandwich with three layers: either a piece of bread, a slice of cheese and another piece of bread, or a piece of bread, a slice of ham and another piece of bread.

In the second testcase, Monocarp has a lot of bread, but not too much filling. He can arrange a sandwich with four pieces of bread, one slice of cheese and two slices of ham.

In the third testcase, it's the opposite — Monocarp has a lot of filling, but not too much bread. He can arrange a sandwich with three pieces of bread and two slices of cheese, for example.

在第一个测试用例中，Monocarp 可以制作一个三层三明治：要么是一片面包、一片奶酪、再加一片面包；要么是一片面包、一片火腿、再加一片面包。

在第二个测试用例中，Monocarp 拥有大量面包，但馅料不足。他可以制作一个由四片面包、一片奶酪和两片火腿组成的三明治。

在第三个测试用例中，情况相反——Monocarp 拥有大量馅料，但面包不足。例如，他可以制作一个由三片面包和两片奶酪组成的三明治。