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Problem Brief

Maximize Sum of Array Multiplication

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You have an array of data (index starting from 1) data = [3, 6, 1, 4, 2]. Rearrange the data such that after the permutation, 1 * data[1] + 2 * data[2] + 3 * data[3] + ... n * data[n] is the largest.

Return the permutations as an array where each element represents the index after permutation (also starting from 1). If there are multiple equivalent answers, return the lexicographically smallest one.

Function Description

Complete the function maximizeSum in the editor.

maximizeSum has the following parameter:

  1. int[] data: an array of integers

Returns

int[]: the permutation of indices that maximizes the sum

1Example 1

Input
data = [3, 6, 1, 4, 2]
Output
[3, 5, 1, 4, 2]
Explanation

The permutation [3, 5, 1, 4, 2] is chosen because the sum 1 * 1 + 2 * 2 + 3 * 3 + 4 * 4 + 5 * 6 is the largest sum you can get.

Larger values stay later. Sort the array based on 1. value 2. if there's a tie, based on index.

Constraints

Limits and guarantees your solution can rely on.

:O
public int[] maximizeSum(int[] data) {
  // write your code here
}
Input

data

[3, 6, 1, 4, 2]

Output

[3, 5, 1, 4, 2]

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