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1181 - Odd Looking Average
  PDF (English) Statistics Forum
Time Limit: 2 second(s) Memory Limit: 32 MB

We are all quite familiar with finding 'average'. Let us define new kind of average of a function.

Given a function f(x) and two values a and b (a ≤ b) if we take all the numbers (not necessarily integers) from a to b then

Now for f(x) = xk you are given k, a and b, you have to find the average according to the description.

Input

Input starts with an integer T (≤ 400), denoting the number of test cases.

Each case contains an integer k (1 ≤ k ≤ 4) and two real numbers a and b (0 < a ≤ b ≤ 10).

Output

For each case, print the case number and the average. Error less than 10-6 will be ignored.

Sample Input

Output for Sample Input

4

1 2 2

2 2 2.0

1 2.0 4

2 2 4.0

Case 1: 2

Case 2: 4

Case 3: 3

Case 4: 9.3333333333

 


Problem Setter: Jane Alam Jan
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