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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