Solution: Range Sum Query - Immutable
Explore how to implement the NumArray class that efficiently handles range sum queries by using a prefix sum array. Understand the construction of prefix sums to enable constant-time range sum retrievals, reducing redundant calculations. This lesson teaches the algorithm's time and space complexity, helping you grasp how to optimize multiple sum queries on an immutable array effectively.
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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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