题目描述
There is a new attraction in Singapore Zoo: The Infinite Zoo.
The Infinite Zoo can be represented by a graph with an infinite number of vertices labeled $1,2,3,\ldots$. There is a directed edge from vertex $u$ to vertex $u+v$ if and only if $u\&v=v$, where $\&$ denotes the bitwise AND operation. There are no other edges in the graph.
Zookeeper has $q$ queries. In the $i$-th query she will ask you if she can travel from vertex $u_i$ to vertex $v_i$ by going through directed edges.
Input
The first line contains an integer $q$ ($1 \leq q \leq 10^5$) — the number of queries.
The $i$-th of the next $q$ lines will contain two integers $u_i$, $v_i$ ($1 \leq u_i, v_i < 2^{30}$) — a query made by Zookeeper.
Output
For the $i$-th of the $q$ queries, output "YES" in a single line if Zookeeper can travel from vertex $u_i$ to vertex $v_i$. Otherwise, output "NO".
You can print your answer in any case. For example, if the answer is "YES", then the output "Yes" or "yeS" will also be considered as correct answer.
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分
样例输入
样例输出
提示
The subgraph on vertices $1,2,3,4,5,6$ is shown below.