Solution: Range Sum Query - Immutable
Explore how to implement a custom data structure, NumArray, that handles multiple range sum queries efficiently by using a prefix sum array. Understand how precomputing cumulative sums allows you to answer sumRange queries in constant time, making it ideal for immutable integer arrays with multiple queries.
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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
numsbetween indicesiandj(inclusive), wherei <= 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
numsbetween indicesiandj(inclusive), i.e., the sum ofnums[i] + nums[i + 1] + ... + nums[j].
Constraints:
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