data:image/png;base64,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121-110-330200-200falseX's turn?5.6.4.3XSecond rule: block opponent's win.Fallback: move somewhere!5.6.4.2This 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.5.6.3.75.6.3.5helper for 5.6.3.7-90-360200-200OOOX's turn?X5.6.3.75.6.4.2This 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.data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAAAXNSR0IArs4c6QAAC/dJREFUeF7t1EENAAAMArHh3/Rs3KNTQMrCzhEgQIBAUmDJVEIRIECAwBloT0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAAQPtBwgQIBAVMNDRYsQiQICAgfYDBAgQiAoY6GgxYhEgQMBA+wECBAhEBQx0tBixCBAgYKD9AAECBKICBjpajFgECBAw0H6AAAECUQEDHS1GLAIECBhoP0CAAIGogIGOFiMWAQIEDLQfIECAQFTAQEeLEYsAAQIG2g8QIEAgKmCgo8WIRYAAgQcE7wFp5Ega3AAAAABJRU5ErkJggg==17falseO,O,X,O,X,O,O,O,X,X,X,O,X,O,X,Xfalsetruetrue