Yaroslav has n points that lie on the Ox axis. The coordinate of the first point is x₁, the coordinate of the second point is x₂, ..., the coordinate of the n-th point is — x_n. Now Yaroslav wants to execute m queries, each of them is of one of the two following types:

Move the p_j-th point from position x_{p_j} to position x_{p_j} + d_j. At that, it is guaranteed that after executing such query all coordinates of the points will be distinct.
Count the sum of distances between all pairs of points that lie on the segment [l_j, r_j] (l_j ≤ r_j). In other words, you should count the sum of: $\text{[math]}$ .

Help Yaroslav.

Input

The first line contains integer n — the number of points (1 ≤ n ≤ 10⁵). The second line contains distinct integers x₁, x₂, ..., x_n — the coordinates of points (|x_i| ≤ 10⁹).

The third line contains integer m — the number of queries (1 ≤ m ≤ 10⁵). The next m lines contain the queries. The j-th line first contains integer t_j (1 ≤ t_j ≤ 2) — the query type. If t_j = 1, then it is followed by two integers p_j and d_j (1 ≤ p_j ≤ n, |d_j| ≤ 1000). If t_j = 2, then it is followed by two integers l_j and r_j ( - 10⁹ ≤ l_j ≤ r_j ≤ 10⁹).

It is guaranteed that at any moment all the points have distinct coordinates.

Output

For each type 2 query print the answer on a single line. Print the answers in the order, in which the queries follow in the input.

Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier.

Yaroslav and Points

Examples