You have n equal-length paragraphs numbered 1 to n. Now you want to arrange them in the order of 1, 2, . . . , n. With the help of a clipboard, you can easily do this: Ctrl-X (cut) and Ctrl-V (paste) several times. You cannot cut twice before pasting, but you can cut several contiguous paragraphs at the same time - they’ll be pasted in order. For example, in order to make {2, 4, 1, 5, 3, 6}, you can cut 1 and paste before 2, then cut 3 and paste before 4. As another example, one copy and paste is enough for {3, 4, 5, 1, 2}. There are two ways to do so: cut {3, 4, 5} and paste after {1, 2}, or cut {1, 2} and paste before {3, 4, 5}. Input The input consists of at most 20 test cases. Each case begins with a line containing a single integer n (1 < n < 10), thenumber of paragraphs. The next line contains a permutation of 1,2,3,...,n. The last case is followed by a single zero, which should not be processed. Output For each test case, print the case number and the minimal number of cut/paste operations. Sample Input 6 241536 5 34512 0 Sample Output Case 1: 2 Case 2: 1