Prime number questions are always being favorite to everyone. This question is extension to the problem PRIME GENERATOR. The question is very very simple and easier than that you cannot imagine. You have to count total number of such primes p in the range [a ≥ 0, b > 0] so that (p² + 1) or/and (p² + 2) is/are prime(s).

Input

First line of input is t, (t < 100) total number of test cases. Next t lines contains two integers a and b separated by space.
a < 50001, b < 100001 and b > a.

Output

In each line print total numbers of such prime numbers.

Example

Input:
2
0 1
4 5

Output:
2
0

[Consider 0 and 1 as prime numbers for this question]