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Solution: Range Sum Query - Immutable

Understand how to solve range sum queries on an integer array by implementing an immutable NumArray class in JavaScript. Learn to build a prefix sum array to achieve constant time sumRange operations, optimizing for multiple queries while managing time and space complexity effectively.

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 ...