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Solution: Sum of Mutated Array Closest to Target

Explore how to solve the problem of adjusting array elements to get a sum closest to a target by sorting the array and using a systematic approach to replace larger values. Understand the method to calculate replacement values, evaluate sums efficiently, and analyze the solution's time and space complexity.

Statement

Given an integer array arr and a target value target, find an integer value such that if all the numbers in arr greater than value are replaced with a value, the sum of the array gets as close as possible to the target.

Choose the smaller value if there’s a tie (two value options are equally close to the targe).

Note: The answer doesn’t have to be a number from the array.

Constraints:

  • 11 \leqarr.length 103 \leq 10^3 ...