Sherlock and Squares

Watson likes to challenge Sherlock's math ability. He will provide a starting and ending value describing a range of integers. Sherlock must determine the number of square integers within that range, inclusive of the endpoints.

Note: A square integer is an integer which is the square of an integer, e.g. .

For example, the range is and , inclusive. There are three square integers in the range: and .

Function Description

Complete the squares function in the editor below. It should return an integer representing the number of square integers in the inclusive range from to .

squares has the following parameter(s):

a: an integer, the lower range boundary
b: an integer, the uppere range boundary

Input Format

The first line contains , the number of test cases.
Each of the next lines contains two space-separated integers denoting and , the starting and ending integers in the ranges.

Constraints

Output Format

For each test case, print the number of square integers in the range on a new line.

Sample Input

2
3 9
17 24

Sample Output

2
0

Explanation

Test Case #00: In range , and are the two square integers.
Test Case #01: In range , there are no square integers.