Partition Array Such That Maximum Difference Is K LeetCode Solution

Problem – Partition Array Such That Maximum Difference Is K LeetCode Solution

You are given an integer array nums and an integer k. You may partition nums into one or more subsequences such that each element in nums appears in exactly one of the subsequences.

Return the minimum number of subsequences needed such that the difference between the maximum and minimum values in each subsequence is at most k.

subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.

Example 1:

Input: nums = [3,6,1,2,5], k = 2
Output: 2
Explanation:
We can partition nums into the two subsequences [3,1,2] and [6,5].
The difference between the maximum and minimum value in the first subsequence is 3 - 1 = 2.
The difference between the maximum and minimum value in the second subsequence is 6 - 5 = 1.
Since two subsequences were created, we return 2. It can be shown that 2 is the minimum number of subsequences needed.

Example 2:

Input: nums = [1,2,3], k = 1
Output: 2
Explanation:
We can partition nums into the two subsequences [1,2] and [3].
The difference between the maximum and minimum value in the first subsequence is 2 - 1 = 1.
The difference between the maximum and minimum value in the second subsequence is 3 - 3 = 0.
Since two subsequences were created, we return 2. Note that another optimal solution is to partition nums into the two subsequences [1] and [2,3].

Example 3:

Input: nums = [2,2,4,5], k = 0
Output: 3
Explanation:
We can partition nums into the three subsequences [2,2], [4], and [5].
The difference between the maximum and minimum value in the first subsequences is 2 - 2 = 0.
The difference between the maximum and minimum value in the second subsequences is 4 - 4 = 0.
The difference between the maximum and minimum value in the third subsequences is 5 - 5 = 0.
Since three subsequences were created, we return 3. It can be shown that 3 is the minimum number of subsequences needed.

Constraints:

  • 1 <= nums.length <= 105
  • 0 <= nums[i] <= 105
  • 0 <= k <= 105

Partition Array Such That Maximum Difference Is K LeetCode Solution in Java

class Solution {

    public int partitionArray(int[] nums, int k) {
        Arrays.sort(nums);
        int c = 1, prev = 0;
        for (int i = 0; i < nums.length; i++) {
            if (nums[i] - nums[prev] <= k) continue;
            c++; prev = i;
        }
        return c;
    }
}

Partition Array Such That Maximum Difference Is K LeetCode Solution in C++

class Solution {
public:
    int partitionArray(vector<int>& nums, int k) {
        
        int n(size(nums)), res(0);
        sort(begin(nums), end(nums));
    
        for (int i=0, j=0; i<n;) {
            while (j < n and nums[j] - nums[i] <= k) j++;            
            res++;
            i = j;
        }
        return res;
    }
};

Partition Array Such That Maximum Difference Is K LeetCode Solution in Python

class Solution:
    def partitionArray(self, nums: List[int], k: int) -> int:
        nums.sort()
        ans = 1
        start = nums[0]
        
        for i in range(1, len(nums)):
            diff = nums[i] - start
            if diff > k:
                ans += 1
                start = nums[i]
        
        return ans
Partition Array Such That Maximum Difference Is K LeetCode Solution Review:

In our experience, we suggest you solve this Partition Array Such That Maximum Difference Is K LeetCode Solution and gain some new skills from Professionals completely free and we assure you will be worth it.

If you are stuck anywhere between any coding problem, just visit Queslers to get the Partition Array Such That Maximum Difference Is K LeetCode Solution

Find on LeetCode

Conclusion:

I hope this Partition Array Such That Maximum Difference Is K LeetCode Solution would be useful for you to learn something new from this problem. If it helped you then don’t forget to bookmark our site for more Coding Solutions.

This Problem is intended for audiences of all experiences who are interested in learning about Data Science in a business context; there are no prerequisites.

Keep Learning!

More Coding Solutions >>

LeetCode Solutions

Hacker Rank Solutions

CodeChef Solutions

Leave a Reply

Your email address will not be published.