Solution: Range Sum Query - Immutable
Explore how to implement a NumArray class that efficiently handles range sum queries on an integer array. Learn to utilize prefix sum arrays to answer sumRange(i, j) queries in constant time, and understand how this approach optimizes multiple queries by avoiding redundant calculations. By the end, you'll be able to design custom data structures for fast query processing within given constraints.
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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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