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

This question was asked by Google.

Given an N by M matrix consisting only of 1's and 0's, find the largest rectangle containing only 1's and return its area.

For example, given the following matrix:

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

Return 4.