30. A non-transitory computer-readable storage medium having stored thereon instructions that, upon executing by a computing device, cause the computing device to: generate a graphical user interface on a display of the computing device, the graphical user interface comprising a mathematical puzzle layout including first areas of the puzzle layout having a plurality of clue regions and second areas of the puzzle layout having a plurality of mystery number regions, wherein the first areas of the puzzle layout and the second areas of the puzzle layout are in separate locations, wherein the plurality of clue regions include a pair clue region interposed between a pair of mystery number regions, wherein each of the mystery number regions corresponds to a mystery number value with no limitation on an amount of times a single mystery number value between 1-R appears in the puzzle layout when the puzzle layout is solved except that a same pair of mystery number values corresponding to the pair of mystery number regions interposing any pair clue region can only appear once in the puzzle layout, wherein R is a whole number within a range of whole number values, wherein the puzzle layout can only have one solution when each mystery number value associated with each mystery number region among the plurality of mystery numbers regions are solved, wherein the pair clue region corresponds to a pair plus clue representing an arithmetic sum of mystery number values of the mystery number regions interposing the pair clue region or a pair times clue representing an arithmetic product of mystery number values of the mystery number regions interposing the pair clue region, and wherein the puzzle layout is initially devoid of pair plus clues, pair times clues, and mystery number values, receive missing mystery number values from a user via the graphical user interface based on the pair plus clues or the pair times clues.
31. The non-transitory computer-readable storage medium of claim 30 , wherein the puzzle layout further includes at least one central clue region surrounded by at least three or more mystery number regions, wherein the same pair of mystery number values corresponding to the pair of mystery number regions interposing any pair clue region can appear more than once in the puzzle layout if the pairs of mystery number regions interposing three or more pair clue regions also form the three or more mystery number regions surrounding a single central clue, in which case the same mystery number value is utilized for all mystery number regions among the pairs of mystery number regions, wherein the central clue region corresponds to a central plus clue representing an arithmetic sum of mystery number values of the mystery number regions surrounding the central clue region or a central times clue representing an arithmetic product of mystery number values of the mystery number regions surrounding the central clue region, wherein the puzzle layout is also initially devoid of pair times clues and central plus clues, wherein the graphical user interface further receives missing mystery number values based on the central plus clues and the central times clues, and wherein one or more of the pair plus clues, pair times clues, central plus clues or central times clues contain one or more prepopulated clues.