Solution: Range Sum Query - Immutable
Explore implementing a NumArray class that efficiently handles multiple range sum queries on an integer array. Learn to create a prefix sum array to achieve constant time complexity when calculating sums between indices, optimizing query handling and conserving space. Understand the balance of time and space complexity in this technique.
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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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