CF1729A.Two Elevators

普及/提高-

通过率：0%

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题目描述

Vlad went into his appartment house entrance, now he is on the $1$ -th floor. He was going to call the elevator to go up to his apartment.

There are only two elevators in his house. Vlad knows for sure that:

the first elevator is currently on the floor $a$ (it is currently motionless),
the second elevator is located on floor $b$ and goes to floor $c$ ( $b \ne c$ ). Please note, if $b=1$ , then the elevator is already leaving the floor $1$ and Vlad does not have time to enter it.

If you call the first elevator, it will immediately start to go to the floor $1$ . If you call the second one, then first it will reach the floor $c$ and only then it will go to the floor $1$ . It takes $|x - y|$ seconds for each elevator to move from floor $x$ to floor $y$ .

Vlad wants to call an elevator that will come to him faster. Help him choose such an elevator.

输入格式

The first line of the input contains the only $t$ ( $1 \le t \le 10^4$ ) — the number of test cases.

This is followed by $t$ lines, three integers each $a$ , $b$ and $c$ ( $1 \le a, b, c \le 10^8$ , $b \ne c$ ) — floor numbers described in the statement.

输出格式

Output $t$ numbers, each of which is the answer to the corresponding test case. As an answer, output:

$1$ , if it is better to call the first elevator;
$2$ , if it is better to call the second one;
$3$ , if it doesn't matter which elevator to call (both elevators will arrive in the same time).

输入输出样例

输入#1
```
3
1 2 3
3 1 2
3 2 1
```
输出#1
```
1
3
2
```

说明/提示

In the first test case of the example, the first elevator is already on the floor of $1$ .

In the second test case of the example, when called, the elevators would move as follows:

At the time of the call, the first elevator is on the floor of $3$ , and the second one is on the floor of $1$ , but is already going to another floor;
in $1$ second after the call, the first elevator would be on the floor $2$ , the second one would also reach the floor $2$ and now can go to the floor $1$ ;
in $2$ seconds, any elevator would reach the floor $1$ .

In the third test case of the example, the first elevator will arrive in $2$ seconds, and the second in $1$ .

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