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Restore the Array From Adjacent Pairs

There is an integer array nums that consists of n unique elements, but you have forgotten it.

There is an integer array nums that consists of n unique elements, but you have forgotten it. However, you do remember every pair of adjacent elements in nums.

You are given a 2D integer array adjacentPairs of size n - 1 where each adjacentPairs[i] = [ui, vi] indicates that the elements ui and vi are adjacent in nums.

It is guaranteed that every adjacent pair of elements nums[i] and nums[i+1] will exist in adjacentPairs, either as [nums[i], nums[i+1]] or [nums[i+1], nums[i]]. The pairs can appear in any order.

Return the original array nums. If there are multiple solutions, return any of them.

Example 1

Input: adjacentPairs = [[2,1],[3,4],[3,2]]

Output: [1,2,3,4]

Explanation: This array has all its adjacent pairs in adjacentPairs. Notice that adjacentPairs[i] may not be in left-to-right order.

Example 2

Input: adjacentPairs = [[4,-2],[1,4],[-3,1]]

Output: [-2,4,1,-3]

Explanation: There can be negative numbers. Another solution is [-3,1,4,-2], which would also be accepted.

Example 3

Input: adjacentPairs = [[100000,-100000]]

Output: [100000,-100000]

Constraints

  • nums.length == n
  • adjacentPairs.length == n - 1
  • adjacentPairs[i].length == 2
  • 2 <= n <= 10^5
  • -10^5 <= nums[i], ui, vi <= 10^5
  • There exists some nums that has adjacentPairs as its pairs.

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