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This problem was asked by Stitch Fix.

Pascal's triangle is a triangular array of integers constructed with the following formula:

  • The first row consists of the number 1.
  • For each subsequent row, each element is the sum of the numbers directly above it, on either side.

For example, here are the first few rows:

    1
   1 1
  1 2 1
 1 3 3 1
1 4 6 4 1

Given an input k, return the kth row of Pascal's triangle.

Bonus: Can you do this using only O(k) space?