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Calculate the number of elements of an array that are not divisors of each element.

You are given an array A consisting of N integers.

For each number A[i] such that 0 ≤ i < N, we want to count the number of elements of the array that are not the divisors of A[i]. We say that these elements are non-divisors.

For example, consider integer N = 5 and array A such that:

A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6

For the following elements:

  • A[0] = 3, the non-divisors are: 2, 6,
  • A[1] = 1, the non-divisors are: 3, 2, 3, 6,
  • A[2] = 2, the non-divisors are: 3, 3, 6,
  • A[3] = 3, the non-divisors are: 2, 6,
  • A[4] = 6, there aren't any non-divisors.

Write a function:

class Solution { public int[] solution(int[] A); }

that, given an array A consisting of N integers, returns a sequence of integers representing the amount of non-divisors.

Result array should be returned as an array of integers.

For example, given:

A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6

the function should return [2, 4, 3, 2, 0], as explained above.

Write an efficient algorithm for the following assumptions:

  • N is an integer within the range [1..50,000];
  • each element of array A is an integer within the range [1..2 * N].
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