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Solution: Range Sum Query - Immutable

Explore how to efficiently solve the range sum query problem by implementing the NumArray class using a prefix sum array. Understand the construction of prefix sums to achieve constant time sumRange queries, practice coding this solution, and analyze its time and space complexity in JavaScript.

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 ...