# Practice on Toph

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## Repeating Units

A number is called repunit (Repeating Units) if the number is made of only 1’s, uch as 1,11 or 11111111. Experimenting repunit numbers is a great game if you can find out the divisibility property. Today, you are assigned with a similar task.

Given two integers **A** and **B**, you have to find out how many numbers between **A** and **B** (inclusive) can divide at least one repunit number.

#### Input

First line takes an integer **T**, the number of test cases. Next T lines takes two integers **A** and **B**.

- 1 ≤T ≤1000
- 1 ≤ A, B ≤ 10
^{15}

#### Output

For each test case, print the case number and the desired output.

#### Samples

Input | Output |
---|---|

2 3 6 1 7 | Case 1: 1 Case 2: 3 |

Between 1 to 7, there are 3 such numbers - 1,3 and 7. 1 divides 1, 3 divides 111 and 7 divides 1,11,111.

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