Solution: Range Sum Query - Immutable
Explore how to efficiently handle multiple range sum queries on an immutable integer array by using a prefix sum data structure. Understand the implementation of the NumArray class with constant time query operations and linear time initialization, enabling fast retrieval of sums between indices. This lesson helps you master custom data structures to optimize query performance.
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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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