Range Sum Query - Immutable

Understand how to design and implement the NumArray class to efficiently calculate sum ranges on integer arrays. Practice handling multiple queries with optimal time complexity by leveraging immutable data structures in Python.

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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:

$1 \leq$ ...