There are a box of apples,which contains N apples. You're going to give them to M person. It is required that everyone must be given a positive integer apple, and no one must have the same amount. If it can be done, output "possible"; otherwise output "impossible".
The first line contains a positive integerT（1≤T≤5）- the number of test cases.
In each of the following T lines there are two positive integers N,M.(1≤N≤1000000, 1≤M≤1000).
For each test case output a line. If it can be done, output "possible"; otherwise output "impossible".