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Solution: Range Sum Query - Immutable

Understand how to efficiently handle multiple range sum queries on an immutable array by implementing a prefix sum data structure. This lesson guides you through constructing and using prefix sums to calculate sums between given indices in constant time, optimizing query performance.

Statement

You are given an integer array, nums, and you need to handle multiple queries of the following type:

  • Query: Calculate the sum of elements in nums between indices i and j (inclusive), where i <= j.

Implement the NumArray class to support the following operations efficiently:

  • Constructor: Initializes the object with the integer array nums.

  • sumRange(i, j): Returns the sum of the elements of nums between indices i and j (inclusive), i.e., the sum of nums[i] + nums[i + 1] + ... + nums[j].

Constraints:

  • 11 \leq ...