Solution: Range Sum Query - Immutable
Explore how to design and implement a NumArray data structure to efficiently calculate the sum of elements between given indices. Learn to use prefix sums for constant time queries after linear time preprocessing, improving performance for multiple range sum requests.
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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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