[Algorithm Trick] Encoding Matrix Position Into A Single Value

Published: 06 March 2020
on channel: srcmake

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Link to webpage: https://www.srcmake.com/home/encode-m...

A matrix is a 2-dimensional array, and each element in the array is represented by a row position and a column position. However, having two keys to represent one element is inconvenient for certain algorithms, such as being able to create a hash map to represent each element in the matrix.

In this video, we go over a trick to encode the position (i,j) for an element into a single value. We go through a diagram together for the encoding and decoding formulas, and then we look at some C++ code that implements the encodePosition and decodeValue functions.

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