A15344. 2-3 Moves

You are standing at the point $0$ on a coordinate line. Your goal is to reach the point $n$ . In one minute, you can move by $2$ or by $3$ to the left or to the right (i. e., if your current coordinate is $x$ , it can become $x-3$ , $x-2$ , $x+2$ or $x+3$ ). Note that the new coordinate can become negative.

Your task is to find the minimum number of minutes required to get from the point $0$ to the point $n$ .

You have to answer $t$ independent test cases.

The first line of the input contains one integer $t$ ( $1 \le t \le 10^4$ ) — the number of test cases. Then $t$ lines describing the test cases follow.

The $i$ -th of these lines contains one integer $n$ ( $1 \le n \le 10^9$ ) — the goal of the $i$ -th test case.

For each test case, print one integer — the minimum number of minutes required to get from the point $0$ to the point $n$ for the corresponding test case.