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1068 - Investigation
  PDF (English) Statistics Forum
Time Limit: 2 second(s) Memory Limit: 32 MB

An integer is divisible by 3 if the sum of its digits is also divisible by 3. For example, 3702 is divisible by 3 and 12 (3+7+0+2) is also divisible by 3. This property also holds for the integer 9.

In this problem, we will investigate this property for other integers.

Input

Input starts with an integer T (≤ 200), denoting the number of test cases.

Each case contains three positive integers A, B and K (1 ≤ A ≤ B < 231 and 0 < K < 10000).

Output

For each case, output the case number and the number of integers in the range [A, B] which are divisible by K and the sum of its digits is also divisible by K.

Sample Input

Output for Sample Input

3

1 20 1

1 20 2

1 1000 4

Case 1: 20

Case 2: 5

Case 3: 64

 


Problem Setter: Sohel Hafiz
Special Thanks: Jane Alam Jan (Solution, Dataset)
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