Package g2701_2800.s2740_find_the_value_of_the_partition

Class Solution

java.lang.Object

g2701_2800.s2740_find_the_value_of_the_partition.Solution

public class Solution
extends Object

2740 - Find the Value of the Partition.<p>Medium</p> <p>You are given a <strong>positive</strong> integer array <code>nums</code>.</p> <p>Partition <code>nums</code> into two arrays, <code>nums1</code> and <code>nums2</code>, such that:</p> <ul> <li>Each element of the array <code>nums</code> belongs to either the array <code>nums1</code> or the array <code>nums2</code>.</li> <li>Both arrays are <strong>non-empty</strong>.</li> <li>The value of the partition is <strong>minimized</strong>.</li> </ul> <p>The value of the partition is <code>|max(nums1) - min(nums2)|</code>.</p> <p>Here, <code>max(nums1)</code> denotes the maximum element of the array <code>nums1</code>, and <code>min(nums2)</code> denotes the minimum element of the array <code>nums2</code>.</p> <p>Return <em>the integer denoting the value of such partition</em>.</p> <p><strong>Example 1:</strong></p> <p><strong>Input:</strong> nums = [1,3,2,4]</p> <p><strong>Output:</strong> 1</p> <p><strong>Explanation:</strong> We can partition the array nums into nums1 = [1,2] and nums2 = [3,4].</p> <ul> <li>The maximum element of the array nums1 is equal to 2.</li> <li>The minimum element of the array nums2 is equal to 3.</li> </ul> <p>The value of the partition is |2 - 3| = 1.</p> <p>It can be proven that 1 is the minimum value out of all partitions.</p> <p><strong>Example 2:</strong></p> <p><strong>Input:</strong> nums = [100,1,10]</p> <p><strong>Output:</strong> 9</p> <p><strong>Explanation:</strong> We can partition the array nums into nums1 = [10] and nums2 = [100,1].</p> <ul> <li>The maximum element of the array nums1 is equal to 10.</li> <li>The minimum element of the array nums2 is equal to 1.</li> </ul> <p>The value of the partition is |10 - 1| = 9.</p> <p>It can be proven that 9 is the minimum value out of all partitions.</p> <p><strong>Constraints:</strong></p> <ul> <li><code>2 <= nums.length <= 10⁵</code></li> <li><code>1 <= nums[i] <= 10⁹</code></li> </ul>

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	findValueOfPartition(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

findValueOfPartition

public int findValueOfPartition(int[] nums)