A positive integer is said to be bitwise prime if the sum of all the bits in its binary representation is a prime number. 

You are given two integers a and b. You have to output number of bitwise prime numbers between a and b (inclusive).

Input

First line contains T : number of test cases. (1 <= T <= 10^5)

For next T lines, each test case contains two space separated integers a and b. (a <= b). 1 <= a, b <= 10^19.

Output

For each test case, print the number of bitwise prime numbers between a and b (inclusive).

Example

Input:
2
1 2
1 3

Output:
0
1