For a decimal number x with n digits (AnAn-1An-2 … A2A1), we define its weight as F(x) = An 2n-1 + An-1 2n-2 + … + A2 2 + A1 1. Now you are given two numbers A and B, please calculate how many numbers are there between 0 and B, inclusive, whose weight is no more than F(A).
The first line has a number T (T <= 10000) , indicating the number of test cases. For each test case, there are two numbers A and B (0 <= A,B < 109)
For every case,you should output “Case #t: “ at first, without quotes. The t is the case number starting from 1. Then output the answer.