[COCI2017-2018#2] ​Košnja

**题目大意：** 给定一个$n*m$的矩阵，每次你可以选择前进一格或转弯（90度），求在不出这个矩阵的情况下遍历全部格点所需最少转弯次数。有多组数据 **输入格式：** 第一行一个整数$k$，表示数据组数 以下$k$行，每行两个整数$n,m$，表示矩阵大小 **输出格式：** 输出一个整数，即最少转弯次数 感谢@守望 提供翻译

Mirko wants to buy land on which he will build a house for his family. So far, he’s seen K pieces of land. Each of them is in the shape of a rectangle and we can think of it as a matrix with N rows and M columns, N × M fields in total. Mirko is aware that, before construction begins, the property needs to be regularly maintained and the lawn needs to be mowed. Because of this, Mirko bought a lawn mower. In order to mow the entire lawn of N rows and M columns, he needs to go over each field at least once. He can start from any field facing one of the four main directions (up, down, left, and right). His lawn mower can only go forwards (to the adjacent field facing the current direction) or make a 90 degree turn. Additionally, because of his own safety, Mirko can only use the lawn mower on his land, so he cannot leave the matrix. Since making the lawn mower turn isn’t simple, Mirko wants to mow the lawn with the minimal amount of turns. For each piece of land he saw so far, Mirko wants to know the minimal number of turns he can make so that the entire lawn is mowed. Help Mirko solve this problem.

The first line of input contains the positive integer K (1 ≤ K ≤ 50 000), the number from the task. Each of the following K lines contains two positive integers N and M (1 ≤ N, M ≤ 1 000 000), the numbers from the task.

For each piece of land Mirko saw so far, output in a separate line the minimal amount of turns he can take so that the entire lawn is mowed.

2
1 10
10 1

0
0

3
1 1
3 3
3 4

0
4
4

2
5 8
6 4

8
6

In test cases worth 50% of total points, Mirko will see only one piece of land. The dimensions of this piece of land will be smaller than 500. **Clarification​ ​of​ ​the​ ​first​ ​test​ ​case:** The first piece of land can be mowed without making any turns if he starts from the field in the first column of the table, faced to the right and only going forwards. A similar idea applies for the second piece of land.