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Find Original Array From Doubled Array

An integer array original is transformed into a doubled array changed by appending twice the value of every element in original, and then randomly shuffling the resulting array.

An integer array original is transformed into a doubled array changed by appending twice the value of every element in original, and then randomly shuffling the resulting array.

Given an array changed, return original if changed is a doubled array. If changed is not a doubled array, return an empty array. The elements in original may be returned in any order.

Find Original Array From Doubled Array diagram

Example 1

Input: changed = [1,3,4,2,6,8]

Output: [1,3,4]

Explanation: One possible original array could be [1,3,4]: - Twice the value of 1 is 1 * 2 = 2. - Twice the value of 3 is 3 * 2 = 6. - Twice the value of 4 is 4 * 2 = 8. Other original arrays could be [4,3,1] or [3,1,4].

Example 2

Input: changed = [6,3,0,1]

Output: []

Explanation: changed is not a doubled array.

Example 3

Input: changed = [1]

Output: []

Explanation: changed is not a doubled array.

Constraints

  • 1 <= changed.length <= 10^5
  • 0 <= changed[i] <= 10^5

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