Little Dipu is a small kid and like all the other kids, he likes to play, but he plays with numbers (He is extraordinary you know). Now-a-days Dipu has some extra interest in odd numbers. So, he says that a number N is interesting if it has odd number of divisors. Now Dipu turns to you and asks you to tell him how many interesting numbers are there between two given numbers, L and R (both inclusive).

Input

First line of input contains the number of test cases T. Each of the next T lines contains two space separated integers L and R.

Output

For each test case, output an integer, denoting the count of interesting numbers between L and R (both inclusive).

Constraints

1 <= T <= 100000
1 <= L <= R <= 10¹⁸