Package g2701_2800.s2740_find_the_value_of_the_partition

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    2740 - Find the Value of the Partition\.

    Medium

    You are given a positive integer array nums.

    Partition nums into two arrays, nums1 and nums2, such that:

    • Each element of the array nums belongs to either the array nums1 or the array nums2.

    • Both arrays are non-empty.

    • The value of the partition is minimized.

    The value of the partition is |max(nums1) - min(nums2)|.

    Here, max(nums1) denotes the maximum element of the array nums1, and min(nums2) denotes the minimum element of the array nums2.

    Return the integer denoting the value of such partition.

    Example 1:

    Input: nums = 1,3,2,4

    Output: 1

    Explanation: We can partition the array nums into nums1 = 1,2 and nums2 = 3,4.

    • The maximum element of the array nums1 is equal to 2.

    • The minimum element of the array nums2 is equal to 3.

    The value of the partition is |2 - 3| = 1.

    It can be proven that 1 is the minimum value out of all partitions.

    Example 2:

    Input: nums = 100,1,10

    Output: 9

    Explanation: We can partition the array nums into nums1 = 10 and nums2 = 100,1.

    • The maximum element of the array nums1 is equal to 10.

    • The minimum element of the array nums2 is equal to 1.

    The value of the partition is |10 - 1| = 9.

    It can be proven that 9 is the minimum value out of all partitions.

    Constraints:

    • <code>2 <= nums.length <= 10<sup>5</sup></code>

    • <code>1 <= numsi<= 10<sup>9</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer findValueOfPartition(IntArray nums)

      • Methods inherited from class java.lang.Object

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