13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T74c,

Today, Sakurako was studying arrays. An array $$$a$$$ of length $$$n$$$ is considered good if and only if:

the array $$$a$$$ is increasing, meaning $$$a_{i - 1} \lt a_i$$$ for all $$$2 \le i \le n$$$;
the differences between adjacent elements are increasing, meaning $$$a_i - a_{i-1} \lt a_{i+1} - a_i$$$ for all $$$2 \le i \lt n$$$.

Sakurako has come up with boundaries $$$l$$$ and $$$r$$$ and wants to construct a good array of maximum length, where $$$l \le a_i \le r$$$ for all $$$a_i$$$.

Help Sakurako find the maximum length of a good array for the given $$$l$$$ and $$$r$$$.

Input

The first line contains a single integer $$$t$$$ ($$$1\le t\le 10^4$$$) — the number of test cases.

The only line of each test case contains two integers $$$l$$$ and $$$r$$$ ($$$1\le l\le r\le 10^9$$$).

Output

For each test case, output a single integer — the lengt

Longest Good Array

Examples