#### Round 3, 2009

Submit Solution(Code Jam Page)

Problem

A positive integer is a palindrome if its decimal representation (without leading zeros) is a palindromic string (a string that reads the same forwards and backwards). For example, the numbers 5, 77, 363, 4884, 11111, 12121 and 349943 are palindromes.

A range of integers is interesting if it contains an even number of palindromes. The range [L, R], with L ≤ R, is defined as the sequence of integers from L to R (inclusive): (L, L+1, L+2, ..., R-1, R). L and R are the range's first and last numbers.

The range [L1,R1] is a subrange of [L,R] if L ≤ L1 ≤ R1 ≤ R. Your job is to determine how many interesting subranges of [L,R] there are.

Input

The first line of input gives the number of test cases, T. T test cases follow. Each test case is a single line containing two positive integers, L and R (in that order), separated by a space.

Output

For each test case, output one line. That line should contain "Case #x: y", where x is the case number starting with 1, and y is the number of interesting subranges of [L,R], modulo 1000000007.

Limits

1 ≤ T ≤ 120

Small dataset

1 ≤ LR ≤ 1013

Large dataset

1 ≤ LR ≤ 10100

Sample

 Input Output ``` 3 1 2 1 7 12 110 ``` ``` Case #1: 1 Case #2: 12 Case #3: 2466 ```

Points Correct Attempted
9pt 24 41
23pt 1 3