super-power-of-2s-2
Source: hackerearth
Difficulty: HARD

Maggu loves to create problems involving queries. This time ,he has created one for you.
Given an array containing n elements and maggu asked you two types of queries.

type 0 : l  r
type 1 : l  r

Explanation:
type 0 :  add 2^1 to l th element,  2^2 to the (l+1) th element , 2^3 ot the (l+2) th element and so on upto r th element. 
type 1:  you are asked to print the sum of all the elements in range[l,r].

INPUT:
The first line contains the integer n denoting the size of array.This line is followed by n integers. After this line integer m is present denoting the number of queries. M lines follow each line containing the three integers the type and l and r.

OUTPUT:
For each query of type 1 print the result in a new line.

CONSTRAINTS:
1 ≤ n ≤ 210^5
1 ≤ A[i] ≤ 10^9
1 ≤ m ≤ 210^5
0 ≤ type ≤ 1
1 ≤ l ≤ r ≤ n

Note:
answer to a query can be very large therefore print answer mod 10^9+7

Large I/O files so use scanf/printf instead of cin/cout.

SAMPLE INPUT
5
0 0 0 0 0 
5
0 1 2
1 1 5
0 3 5
1 1 5
1 2 3

SAMPLE OUTPUT
6
20
6