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Largest Divisible Subset

Medium

You receive a set of distinct positive integers nums, provide the largest subset answer such that every pair (answer[i], answer[j]) of elements in this subset satisfies:

  • answer[i] % answer[j] == 0, or

  • answer[j] % answer[i] == 0

If there are multiple solutions, provide any of them.

Example 1

Input: nums = [1,2,3]

Output: [1,2]

Explanation: [1,3] is also accepted.

Example 2

Input: nums = [1,2,4,8]

Output: [1,2,4,8]

Constraints

  • 1 <= nums.length <= 1000
  • 1 <= nums[i] <= 2 * 10^9
  • All the integers in nums are unique.

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