Interesting Integers

Let us call an integer interesting if the product of its digits is divisible by the sum of its digits. You are given two integers $A$ and $B$. Find the number of interesting integers between $A$ and $B$ (both inclusive).

The first line of the input gives the number of test cases, $T$. $T$ lines follow. Each line represents a test case and contains two integers: $A$ and $B$.

For each test case, output one line containing Case #x: y, where $x$ is the test case number (starting from 1) and $y$ is the number of interesting integers between $A$ and $B$ (inclusive).

$1 \le T \le 100$.

In Sample Case #1, since the product and the sum of digits are the same for single-digit integers, all integers between $1$ and $9$ are interesting.

In Sample Case #2, there are no interesting integers between $91$ and $99$.

In Sample Case #3, there are five interesting integers between $451$ and $460$:

1. $451$ (product of its digits is $4 \times 5 \times 1 = 20$, sum of its digits is $4 + 5 + 1 = 10$).
2. $453$ (product of its digits is $4 \times 5 \times 3 = 60$, sum of its digits is $4 + 5 + 3 = 12$).
3. $456$ (product of its digits is $4 \times 5 \times 6 = 120$, sum of its digits is $4 + 5 + 6 = 15$).
4. $459$ (product of its digits is $4 \times 5 \times 9 = 180$, sum of its digits is $4 + 5 + 9 = 18$).
5. $460$ (product of its digits is $4 \times 6 \times 0 = 0$, sum of its digits is $4 + 6 + 0 = 10$).