Given A and B, how many numbers between A and B (with no leading 0's) rearrange their digits when multiplied by 2?

Input

The first line contains the number of test cases T. T lines follow, each containing two integers A and B.

Output

Output T lines, one for each test case containing the desired answer for the corresponding test case.

Sample

Input:
2
1 100
499875921 499875921
Output:
0
1

Constraints

1 <= T <= 10000

1 <= A <= B <= 10000000000 (10^10)