Divide Array Into Arrays With Max Difference
You are given an integer array nums of size n where n is a multiple of 3 and a positive integer k.
You are given an integer array nums of size n where n is a multiple of 3 and a positive integer k.
Divide the array nums into n / 3 arrays of size 3 satisfying the following condition:
Return a 2D array containing the arrays. If it is impossible to satisfy the conditions, return an empty array. And if there are multiple answers, return any of them.
Example 1
Input: nums = [1,3,4,8,7,9,3,5,1], k = 2
Output: [[1,1,3],[3,4,5],[7,8,9]]
Explanation: The difference between any two elements in each array is less than or equal to 2.
Example 2
Input: nums = [2,4,2,2,5,2], k = 2
Output: []
Explanation: Different ways to divide nums into 2 arrays of size 3 are: Because there are four 2s there will be an array with the elements 2 and 5 no matter how we divide it. since 5 - 2 = 3 > k , the condition is not satisfied and so there is no valid division.
Example 3
Input: nums = [4,2,9,8,2,12,7,12,10,5,8,5,5,7,9,2,5,11], k = 14
Output: [[2,2,2],[4,5,5],[5,5,7],[7,8,8],[9,9,10],[11,12,12]]
Explanation: The difference between any two elements in each array is less than or equal to 14.
Constraints
- n == nums.length
- 1 <= n <= 10^5
- n is a multiple of 3
- 1 <= nums[i] <= 10^5
- 1 <= k <= 10^5
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