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Given an integer rowIndex, return the rowIndexth (0-indexed) row of the Pascal's triangle.In Pascal's triangle, each number is the sum of the two numbers directly above it as shown:

Question

Given an integer rowIndex, return the rowIndexth (0-indexed) row of the Pascal's triangle.In Pascal's triangle, each number is the sum of the two numbers directly above it as shown:

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Solution

Sure, here is a Python solution for the problem:

def getRow(rowIndex):
    row = [1]
    for _ in range(rowIndex):
        row = [x + y for x, y in zip([0]+row, row+[0])]
    return row

Here is how it works:

  1. Initialize the row with [1] because the first row of Pascal's triangle starts with 1.
  2. For each row in the range up to rowIndex, calculate the next row.
  3. The next row is calculated by adding pairs of elements in the current row. To do this, we create two shifted versions of the current row: one shifted to the left ([0]+row) and one shifted to the right (row+[0]). Then we use the zip function to create pairs of elements from these two lists.
  4. For each pair of elements, we calculate the sum (x + y) and this sum forms the next row.
  5. Repeat steps 3-4 until we reach the rowIndex.
  6. Finally, return the row.

For example, if you call getRow(3), it will return [1,3,3,1] which is the 3rd row of Pascal's triangle.

This problem has been solved

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