To get into university, you are required to have a high average, so your advisor offers you a challenge:

If you can answer my queries, I will boost your average by .

Each query will consist of , meaning your advisor wants you to query the average of courses rounded down to the nearest integer.

#### Input Specification

The first line will contain and , the number of courses you are currently taking and the number of queries.

The second line will contain space-separated integers, , your average in the course.

The next lines will contain and , a query for the average of your courses in .

**Note: Fast I/O might be required to fully solve this problem (e.g., BufferedReader for Java).**

#### Output Specification

Output lines, the answer to each query rounded down to the nearest integer.

#### Constraints

For all subtasks:

##### Subtask 1 [50%]

##### Subtask 2 [50%]

No additional constraints.

#### Sample Input

```
5 3
100 50 0 75 90
1 2
2 3
2 5
```

#### Sample Output

```
75
25
53
```

## Comments