Joe is an economical man and he has found a new scheme to save some money! Joe wants to save money on his water bill, so he decides to collect rainwater. Joe has a row of water containers, all initially empty and each with a maximum capacity of liters of water. The containers are connected in such a way that when container overflows, the excess liquid flows to container . When container overflows, the extra water magically disappears. Joe wishes to gather information about the efficacy of his setup, and so he has prepared queries of the following types:

- : Rainfall arrives, and liters of water falls directly into each container from position to inclusive.
- : Joe changes the maximum capacity of bucket to . If the volume decreases, any resulting overflow passes on to bucket as usual.
- : Joe wishes to know the current volume of water being held in container .

#### Constraints

##### Subtask 1 [10%]

##### Subtask 2 [10%]

All queries of type appear after all queries of type ; there are no queries of type .

##### Subtask 3 [30%]

For all queries of type , .

##### Subtask 4 [50%]

No further constraints.

#### Input Specification

The first line will contain and , the number of containers and number of queries respectively.

The second line will contain space-separated integers, .

The next lines will contain queries of the form mentioned in the problem description.

#### Output Specification

Output the answer to each type query on separate lines.

#### Sample Input

```
5 5
4 5 2 9 3
1 1 2 3
2 1 1
1 2 5 2
3 4
3 5
```

#### Sample Output

```
4
2
```

## Comments