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F - Harmonic Number
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Time Limit: 3 second(s) Memory Limit: 32 MB

In mathematics, the nth harmonic number is the sum of the reciprocals of the first n natural numbers:

a1.png

a2.png

In this problem, you are given n, you have to find Hn.

Input

Input starts with an integer T (≤ 10000), denoting the number of test cases.

Each case starts with a line containing an integer n (1 ≤ n ≤ 108).

Output

For each case, print the case number and the nth harmonic number. Errors less than 10-8 will be ignored.

Sample Input

Output for Sample Input

12

1

2

3

4

5

6

7

8

9

90000000

99999999

100000000

Case 1: 1

Case 2: 1.5

Case 3: 1.8333333333

Case 4: 2.0833333333

Case 5: 2.2833333333

Case 6: 2.450

Case 7: 2.5928571429

Case 8: 2.7178571429

Case 9: 2.8289682540

Case 10: 18.8925358988

Case 11: 18.9978964039

Case 12: 18.9978964139

 


Problem Setter: Jane Alam Jan
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