Vessels

There is a system of n vessels arranged one above the other as shown in the figure below. Assume that the vessels are numbered from 1 to n, in the order from the highest to the lowest, the volume of the i-th vessel is a_i liters.

Initially, all the vessels are empty. In some vessels water is poured. All the water that overflows from the i-th vessel goes to the (i + 1)-th one. The liquid that overflows from the n-th vessel spills on the floor.

Your task is to simulate pouring water into the vessels. To do this, you will need to handle two types of queries:

1. Add x_i liters of water to the p_i-th vessel;

2. Print the number of liters of water in the k_i-th vessel.

When you reply to the second request you can assume that all the water poured up to this point, has already overflown between the vessels.

The first line contains integer n — the number of vessels (1 ≤ n ≤ 2·10⁵). The second line contains n integers a₁, a₂, ..., a_n — the vessels' capacities (1 ≤ a_i ≤ 10⁹). The vessels' capacities do not necessarily increase from the top vessels to the bottom ones (see the second sample). The third line contains integer m — the number of queries (1 ≤ m ≤ 2·10⁵). Each of the next m lines contains the description of one query. The query of the first type is represented as "1 p_i x_i", the query of the second type is represented as "2 k_i" (1 ≤ p_i ≤ n, 1 ≤ x_i ≤ 10⁹, 1 ≤ k_i ≤ n).

For each query, print on a single line the number of liters of water in the corresponding vessel.

2
5 10
6
1 1 4
2 1
1 2 5
1 1 4
2 1
2 2

4
5
8

3
5 10 8
6
1 1 12
2 2
1 1 6
1 3 2
2 2
2 3

7
10
5