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Inspired by the common binary search algorithm, this design would be a binary or tertiary search on the next desired letter. Below are twopotential two potential visualizations of this, where a user would use the left or right arrow keys to narrow in on the desired letter. All three diagrams show the same progression of selection an “N”.

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Tertiary search would be similar to binary search, except instead of just using the "left" and "right" keys, a user could also use the "down" key. This would require only three key presses for each letter. A space could no longer be the "down" key and would likely be simply appended after "z" ie. hitting "right" three times. This would not be obvious to a user, and would have to be indicated somehow, perhaps a note that says "Hit right three times to enter a space" which would still bring the user through the visualization as if they were choosing the letter after "z".

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