Do you ever become frustrated with television because you keep seeing the same things, recycled over and over again? Well I personally don’t care about television, but I do sometimes feel that way about numbers.
Let’s say a pair of distinct positive integers (n,?m) is?recycled?if you can obtain?m?by moving some digits from the back of?n?to the front without changing their order. For example, (12345, 34512) is a recycled pair since you can obtain 34512 by moving 345 from the end of 12345 to the front. Note that?n?and?m?must have the same number of digits (excluding leading zeros) in order to be a recycled pair.
Given integers?A?and?B?with the same number of digits, how many distinct recycled pairs (n,?m) are there with?A?≤?n?<?m?≤?B?
The first line of the input gives the number of test cases,?T.?T?test cases follow. Each test case consists of a single line containing the integers?A?and?B.
For each test case, output one line containing “Case #x: y”, where x is the case number (starting from 1), and y is the number of recycled pairs (n,?m) with?A?≤?n?<?m?≤?B.
1 ≤?T?≤ 50.
A?and?B?have the same number of digits.
1 ≤?A?≤?B?≤ 1000.
1 ≤?A?≤?B?≤ 2000000.