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Problem Brief

Minimum Operations to Make All Array Elements Equal

OA
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You are given an array nums consisting of positive integers.

You are also given an integer array queries of size m. For the ith query, you want to make all of the elements of nums equal to queries[i]. You can perform the following operation on the array any number of times:

  • Increase or decrease an element of the array by 1.

Return an array answer of size m where answer[i] is the minimum number of operations to make all elements of nums equal to queries[i].

Note that after each query the array is reset to its original state.

1Example 1

Input
nums = [3,1,6,8], queries = [1,5]
Output
[14,10]
Explanation

For the first query we can do the following operations:

  • Decrease nums[0] 2 times, so that nums = [1,1,6,8].
  • Decrease nums[2] 5 times, so that nums = [1,1,1,8].
  • Decrease nums[3] 7 times, so that nums = [1,1,1,1].
So the total number of operations for the first query is 2 + 5 + 7 = 14.

For the second query we can do the following operations:

  • Increase nums[0] 2 times, so that nums = [5,1,6,8].
  • Increase nums[1] 4 times, so that nums = [5,5,6,8].
  • Decrease nums[2] 1 time, so that nums = [5,5,5,8].
  • Decrease nums[3] 3 times, so that nums = [5,5,5,5].
So the total number of operations for the second query is 2 + 4 + 1 + 3 = 10.

2Example 2

Input
nums = [2,9,6,3], queries = [10]
Output
[20]
Explanation

We can increase each value in the array to 10. The total number of operations will be 8 + 1 + 4 + 7 = 20.

Constraints

Limits and guarantees your solution can rely on.

  • n == nums.length
  • m == queries.length
  • 1 <= n, m <= 10^5
  • 1 <= nums[i], queries[i] <= 10^9
public int[] minOperations(int[] nums, int[] queries) {
  // write your code here (You might want to refer to LC2602 :)
}
Input

nums

[3,1,6,8]

queries

[1,5]

Output

[14,10]

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