Maximize Median with Operations

Problem Statement

Maximize Median with Operations Description Amazon's Data Analysts are studying how adjusting data values impacts model training performance. Their goal is to maximize the median of a given dataset through a series of controlled modifications. You are given an array data of n integers and an integer weight , which is used in the modification process defined below. Modification Process You need to perform exactly k operations, where in each operation: Choose two different indices i and j in the array such that ( i ≠ j ) and ( 0 ≤ i, j ≤ n-1 ). Increase data[i] by the weight value, i.e., assign data[i] = data[i] + weight . Decrease data[j] by the weight value, i.e., assign data[j] = data[j] - weight . After the first operation, the subsequent operation is performed on the modified data array. Objective Apply exactly k operations, in such a way that maximizes the median of the array. Given the array data of length n , and an integer weight , determine the maximum possible median