How to Solve Divide Array Into Arrays With Max Difference Problem
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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. Divide the array nums into n / 3 arrays of size 3 satisfying the following condition: The difference ...
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Problem Statement
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: The difference between any two elements in one array is less than or equal to k. 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.
Divide Array Into Arrays With Max Difference
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Examples
nums = [1,3,4,8,7,9,3,5,1], k = 2
[[1,1,3],[3,4,5],[7,8,9]]
The difference between any two elements in each array is less than or equal to 2.
nums = [2,4,2,2,5,2], k = 2
[]
Different ways to divide nums into 2 arrays of size 3 are: [[2,2,2],[2,4,5]] (and its permutations) [[2,2,4],[2,2,5]] (and its permutations) 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.
nums = [4,2,9,8,2,12,7,12,10,5,8,5,5,7,9,2,5,11], k = 14
[[2,2,2],[4,5,5],[5,5,7],[7,8,8],[9,9,10],[11,12,12]]
The difference between any two elements in each array is less than or equal to 14.
Constraints
n == nums.length
1 <= n <= 105
n is a multiple of 3
1 <= nums[i] <= 105
1 <= k <= 105
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