Fair Problem Distribution

You are given a number of test cases. In each test case, there are n participants and p total problems. The challenge is to decide whether it is possible to distribute the problems in a fair manner.

In particular, a distribution is considered fair if either:

• Each participant receives exactly the same number of problems, i.e. \(p \bmod n = 0\), or
• The distribution can be adjusted so that one participant may receive one problem less than the others, i.e. \(p \bmod n = n-1\).

Output YES if the problems can be fairly distributed according to the above criteria; otherwise, output NO.

inputFormat

The first line contains an integer t representing the number of test cases. Each of the following t lines contains two space separated integers n and p, representing the number of participants and total number of problems respectively.

outputFormat

For each test case, print a single line with either YES or NO indicating if a fair distribution is possible.## sample

3
3 8
2 5
4 10

YES
YES
NO