Faster range queries
Given an array
a of n integers, you are asked to answer q queries. All the queries have the form: “What is the sum of elements in the array a between indices [l; r]?” (both endpoints are inclusive and the indexing starts from 0). This time the number of queries and the size of the array are significantly larger. Can you think of a way to answer those queries faster?Input
The first line of the input contains a single integer
n - the number of elements in the array (1 ≤ n ≤ ). The next line contains n integers separated by a space, that represent the elements of the array . The following line contains a single integer
q - the number of queries (1 ≤ q ≤ ). The next q lines contain queries of the form Output
The program should print
q lines, each of which is the sum of elements in the array a between indices (both inclusive).Examples
Input | Output |
8
1 2 3 4 5 6 7 8
3
0 4
5 6
5 7 | 15
13
21 |
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 25 MB