Package g1601_1700.s1675_minimize_deviation_in_array

Class Solution

java.lang.Object
g1601_1700.s1675_minimize_deviation_in_array.Solution
public class Solution extends java.lang.Object
1675 - Minimize Deviation in Array.

Hard

You are given an array nums of n positive integers.

You can perform two types of operations on any element of the array any number of times:

  • If the element is even , divide it by 2.
    • For example, if the array is [1,2,3,4], then you can do this operation on the last element, and the array will be [1,2,3,2].
  • If the element is odd , multiply it by 2.
    • For example, if the array is [1,2,3,4], then you can do this operation on the first element, and the array will be [2,2,3,4].

The deviation of the array is the maximum difference between any two elements in the array.

Return the minimum deviation the array can have after performing some number of operations.

Example 1:

Input: nums = [1,2,3,4]

Output: 1

Explanation: You can transform the array to [1,2,3,2], then to [2,2,3,2], then the deviation will be 3 - 2 = 1.

Example 2:

Input: nums = [4,1,5,20,3]

Output: 3

Explanation: You can transform the array after two operations to [4,2,5,5,3], then the deviation will be 5 - 2 = 3.

Example 3:

Input: nums = [2,10,8]

Output: 3

Constraints:

  • n == nums.length
  • 2 <= n <= 105
  • 1 <= nums[i] <= 109

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minimumDeviation(int[] nums)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minimumDeviation

      public int minimumDeviation(int[] nums)