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. .
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.
For each test case, print the number of square integers in the range on a new line.
Test Case #00: In range , and are the two square integers. Test Case #01: In range , there are no square integers.