C Programming Language

Problem Title: Mountain Climber

Mountain summit is an interesting destination for mountain climbers. The Seven Summits is a term

to describe seven mountains peak which cover all the seven tectonic plate in the world.

Jojo as an amateur climber wants to conquer a mountain range , which still easy to climb, to prepare

himself to conquer The Seven Summits. Jojo and his friends have a list of N spot on a mountain range.

(There is a professional mountain climber group that divide the mountain range into N strategic points)

If someone want to climb this mountain range, it always starts at the first point. We can say Climb Up

if we go from lower altitude point to the higher ones and Climb Down otherwise.

Jojo and his friends want you to find how long is the range to get exactly K Climb Up and M Climb Down?

Note that this range could be start from any point.

Format Input

Input consists of one integer T, the number of test case. For each test case, it contains 3 integers N, K, M - number of points on the mountain range, number of Climb Up, and number of Climb Down for this expedition. The next line contains N integers A_i - the altitude for every point on the mountain range.

Format Output

Output should be expressed in format Case #X: Y - X is the number of test case,

and followed by Y - minimum length of the range such fulfill the criterion above.

If there is no solution exist, output -1 as the answer.

Constraints

1 T 50 1 N 100000 0 K, M N 100 A_i 3000

Sample Input & Output (standard input & output)

3

4 1 0

1296 1331 2144 2856

Case #1: 2

6 2 2

1777 1002 2914 1998 1525 2213

Case #2: 5

5 3 0

1000 1001 1002 1003 1004

Case #3: 4