Little Tulip recently learnt about how to  write numbers. So she wrote some numbers in a paper in a line. But she never wrote a number which is less than the prevous one.

Now she want to know how many different numbers are in a given range.

In short, you are given an array of N integers indexed from 1 to N, and q queries, each in the form i j, you have to find the number of distinct integers from index i to j (inclusive).

Input

Input starts with an integer T (≤ 15), denoting the number of test cases.

The first line of a case is a blank line. The next line contains two integers N (1 ≤ N ≤ 10^5), q (1 ≤ q ≤ 10^5). The next line contains N space separated positive integers forming the array. Each of the next q lines will contain a query which is in the form i j (1 ≤ i ≤ j ≤ N).

Output

For each test case, print the case number in a single line. Then for each query you have to print a line containing number of distinct integers from index i to j.

Example

Input:
2

5 3
1 2 2 4 5
1 2
1 5
4 5

3 1
1 1 1
1 3


Output:
Case 1:
2
4
2
Case 2:
1