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Solution: Range Sum Query - Immutable

Understand how to solve range sum queries efficiently by implementing a prefix sum array in the NumArray class. This lesson guides you in initializing the prefix sums and performing constant time sum retrievals for any subarray range. Learn the construction, query handling, and analyze time and space complexities for scalable solutions.

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 ...