QuestionProblem Statement: Cumulative Sum for Multiple Queries
Problem Description:
You are given an array of integers arr[] of size . You need to answer multiple range sum queries. For each query, you will be asked to return the sum of elements in the subarray from index I to index (both inclusive). You need to process these queries efficiently.
Input:
- An array arr[] of integers with size .
- An integer representing the number of queries.
- For each query, you are given two integers / and , where you need to return the sum of elements in the subarray arr[l...r].
Output:
- For each query, print the sum of elements from index I to r (inclusive).
Example Test Cases:
Example 1:
Input:
arr
Number of Queries: 3
02
14
04
Output:
6
14
15
Studdy Solution
STEP 1
1. The array is zero-indexed.
2. The queries are given as pairs of indices where .
3. We need to efficiently compute the sum of elements between indices and for multiple queries.
STEP 2
1. Preprocess the array to compute prefix sums.
2. Use the prefix sums to efficiently answer each query.
STEP 3
Compute the prefix sum array where each element is the sum of elements from the start of the array to the -th index.
STEP 4
For each query , compute the sum of the subarray using the prefix sum array.
If :
Otherwise:
Example Execution:
Given , compute the prefix sums:
For the queries:
1. Query : Sum =
2. Query : Sum =
3. Query : Sum =
Thus, the outputs are:
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