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You must know about Gauss, the famous mathematician. Back in late 1700s, he was at elementary school. Gauss was asked to find the sum of

You must know about Gauss, the famous mathematician. Back in late 1700s, he was at

elementary school. Gauss was asked to find the sum of the numbers from 1 to 100.

The question was assigned as busy work by the teacher. He amazed his teacher

with how quickly he found the sum of the integers from 1 to 100 to be 5050. Gauss

recognized he had fifty pairs of numbers when he added the first and last number in

the series, the second and second-last number in the series, and so on. For example:

(1 + 100), (2 + 99), (3 + 98), ..., (50 + 51). Each pair has a sum of 101 and there

are 50 pairs.

History repeats itself. Jojos teacher assign a busy work to the students. The teacher

believes that there will be no shortcut to finish this task in a minute. The teacher gives

N integers A1, A2, ..., AN to the students. The teacher also gives Q questions. Each

question contains two integers L and R asking the sum of all Ai where L <= Ai <= R.

As a good friend of Jojo, help Jojo to amaze his teacher. Answer all the questions!

Format Input

There are T testcases. Every testcase consists of a line with an integers N followed by a

line consists of N integers A1, A2, ..., AN as described above. Followed by a line consists

of an integers Q and Q lines which each consists of two integers L and R as described

above.

Format Output

Output T testcases with format Case #X:, where X indicates the testcase number

and then followed by Q lines which each consists of an integers indicates the answer of

each question.

Constraints

1 T 3

1 N, Q 30000

1 Ai

, L, R 10^9

Sample Input (standard input)

3

6

3 2 1 3 5 1

3

3 3

2 3

1 5

5

4 5 6 7 8

7

4 4

4 5

4 6

4 7

4 8

4 9

3 8

5

11 12 13 14 15

3

1 10

16 20

1 20

Sample Output (standard output)

Case #1:

6

8

15

Case #2:

4

9

15

22

30

30

30

Case #3:

0

0

65

Note : Use C Language , Dont Use Stdlib as you can use stdio.h math.h string.h only

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