Your task is to write a program that reads the student ratings and calculates the difficulty level for each course. The difficulty level is calculated based on the average total ratings.

For example, for Course $1$:

Course difficulty level $=\frac{1+5+3+3+1+4+2+2+4+3}{10}=2\mathrm{.}8$

Input

$10$

$1,1,1,1,1,1$

$5,5,5,5,5,5$

$3,3,3,3,3,3$

$3,3,3,3,3,3$

$123455$

$441423$

$2,2,2,1,2,1$

$21212122$

$444321$

$3,2,1,1,1,1$

$8$

$233453$

$4,3,5,2,1,1$

$2,3,4,1,5,2$

$2453313$

$2,1,4,5,3,1$

$5421332$

$413352$

$444321$

$0$

The input consists of a few test cases. For each test case, the first line of input is a positive integer $)N(100$ which indicates the number of students. The following $N$ lines contain $6$ integers which represent the ratings cast by the students.

Output

number of students. The following $N$ lines contain $6$ integs

Output

Case #$1$: Course TTTK$1114$

Course $1$: $2\mathrm{.}8$

Course $2$: $2\mathrm{.}7$

Course $3$: $2\mathrm{.}5$

Course $4$: $2\mathrm{.}6$

Course $5$: $2\mathrm{.}6$

Course $6$: $2\mathrm{.}5$

Case #$2$: Course TTTT$1713$

Course $1$: $3.1$

Course $2$: $2\mathrm{.}9$

Course $3$: $3\mathrm{.}8$

Course $4$: $3\mathrm{.}0$

Course $5$: $2\mathrm{.}8$

Course $6$: $1\mathrm{.}9$

For each test case, output a line in the format "Case #x: $"$ where $x$ is the case number $($starting from $1),$ followed by the name of the mo difficult course according to students' rating. In the next $6$ lines are the output of the ratings for each course. Format the output in $1$ decimal place. Refer to the sample output.

Test Case$($s$)$