Almost
For two integers a and c, we define a and a third integer b to be almost factors of c by choosing the minimal b that minimizes |ab-c|. Your task will be to determine b given a and c.
Input
Your input file will consist of a single integer N, the number of test cases in the file, followed by N pairs of integers a and c. All tokens in the input will be separated by some whitespace.
Output
Your output should consist of N newline-separated integers, each one representing b for the corresponding pair (a, c) in the input.
Constraints
5 ≤ N ≤ 20
1 ≤ a, c ≤ 1010