data:image/png;base64,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110i121X's turn?5.6.3.55.6.3.7helper for 5.6.3.75.6.4.2This is a place where students are likely to use an unnecessary IF/ELSE block because the solution above seems "too easy" and therefore suspicious. Ideally they should both understand that their solution is correct if it works -- there isn't only one "right" way to write a program -- and that composition of functions enables fairly complicated algorithms to be one-liners when actually coded.5.6.4.3XSecond rule: block opponent's win.Fallback: move 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