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Good morning! Here's your coding interview problem for today.

This problem was asked by Slack.

You are given an N by M matrix of 0s and 1s. Starting from the top left corner, how many ways are there to reach the bottom right corner?

You can only move right and down. 0 represents an empty space while 1 represents a wall you cannot walk through.

For example, given the following matrix:

[[0, 0, 1], [0, 0, 1], [1, 0, 0]]

Return two, as there are only two ways to get to the bottom right:

  • Right, down, down, right
  • Down, right, down, right

The top left corner and bottom right corner will always be 0.