A9060. Yaroslav and Points

Yaroslav has $n$ points that lie on the $Ox$ axis. The coordinate of the first point is $x_{1}$ , the coordinate of the second point is $x_{2}$ , ..., 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:

1. Move the $p_{j}$ -th point from position $x_{pj}$ to position $x_{pj}+d_{j}$ . At that, it is guaranteed that after executing such query all coordinates of the points will be distinct.
2. 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: .

Help Yaroslav.

The first line contains integer $n$ — the number of points $(1<=n<=10^{5})$ . The second line contains distinct integers $x_{1},x_{2},...,x_{n}$ — the coordinates of points $(|x_{i}|<=10^{9})$ .

The third line contains integer $m$ — the number of queries $(1<=m<=10^{5})$ . 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 $r_{j}$ $(-10^{9}<=l_{j}<=r_{j}<=10^{9})$ .

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

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.