write a go solution for Description: You are playing a game on a nxm grid, in which the computer has selected some cell (x,y) of the grid, and you have to determine which one. To do so, you will choose some k and some k cells (x_1,y_1),,(x_2,y_2),ldots,(x_k,y_k), and give them to the computer. In response, you will get k numbers b_1,,b_2,ldotsb_k, where b_i is the manhattan distance from (x_i,y_i) to the hidden cell (x,y) (so you know which distance corresponds to which of k input cells). After receiving these b_1,,b_2,ldots,b_k, you have to be able to determine the hidden cell. What is the smallest k for which is it possible to always guess the hidden cell correctly, no matter what cell computer chooses? As a reminder, the manhattan distance between cells (a_1,b_1) and (a_2,b_2) is equal to |a_1-a_2|+|b_1-b_2|. Input Format: The first line of the input contains a single integer t (1<=t<=10^4) — the number of test cases. The description of test cases follows. The single line of each test case contains two integers n and m (1<=n,m<=10^9) — the number of rows and the number of columns in the grid. Output Format: For each test case print a single integer — the minimum k for that test case. Note: In the first test case, the smallest such k is 2, for which you can choose, for example, cells (1,1) and (2,1). Note that you can't choose cells (1,1) and (2,3) for k=2, as both cells (1,2) and (2,1) would give b_1=1,b_2=2, so we wouldn't be able to determine which cell is hidden if computer selects one of those. In the second test case, you should choose k=1, for it you can choose cell (3,1) or (1,1).. Output only the code with no comments, explanation, or additional text.