Problem 44716. Counting Squares

An algorithm starts with a single square and on each of its next iterations adds new squares all around the outside as shown below.

                                               S    
                            S                S S S 
           S              S S S            S S S S S
                            S                S S S
                                               S
         n = 1            n = 2              n = 3

How many unit squares will there be after the nth iteration?

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Solution Stats

76.47% Correct | 23.53% Incorrect
Last Solution submitted on Jul 19, 2024

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