Full Binary Tree

Time Limit: 2000 ms Memory Limit: 65536 KiB

Problem Description

In computer science, a binary tree is a tree data structure in which each node has at most two children. Consider an infinite full binary tree (each node has two children except the leaf nodes) defined as follows. For a node labelled v its left child will be labelled 2 * v and its right child will be labelled 2 * v + 1. The root is labelled as 1.
 
You are given n queries of the form i, j. For each query, you have to print the length of the shortest path between node labelled i and node labelled j.
 

Input

First line contains n(1 ≤ n ≤ 10^5), the number of queries. Each query consists of two space separated integers i and j(1 ≤ i, j ≤ 10^9) in one line.
 

Output

For each query, print the required answer in one line.
 

Sample Input

5
1 2
2 3
4 3
1024 2048
3214567 9998877

Sample Output

1
2
3
1
44

Hint

 

Source

2014年山东省第五届ACM大学生程序设计竞赛