A15911 | Dreaming of Freedom

Because to take away a man's freedom of choice, even his freedom to make the wrong choice, is to manipulate him as though he were a puppet and not a person.

— Madeleine L'Engle



There are $n$ programmers choosing their favorite algorithm amongst $m$ different choice options. Before the first round, all $m$ options are available. In each round, every programmer makes a vote for one of the remaining algorithms. After the round, only the algorithms with the maximum number of votes remain. The voting process ends when there is only one option left. Determine whether the voting process can continue indefinitely or no matter how people vote, they will eventually choose a single option after some finite amount of rounds?

The first line contains a single integer $t$ ( $1 \leq t \leq 10^5$ ) — the number of test cases.

Each test case consists of a single line containing two integers $n$ and $m$ ( $1 \leq n, m \leq 10^6$ ) — the number of people and choice options respectively.

For each test case output "YES" if the programmers will eventually choose a single option, and "NO" otherwise.

You may print each letter in any case (for example, YES, Yes, yes, yEs will all be recognized as a positive answer).