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I tried to give Context Free Grammar to the language bellow where inputs are (1,0) and I am not sure. All the strings where 0s

I tried to give Context Free Grammar to the language bellow where inputs are (1,0) and I am not sure. All the strings where 0s and 1s alternate...Please with detailed explanations. What would CFG be for this? The regular expressions for this language that I got is; 01*+10*+1(01)*+0(10)*, could you check if that's correct as well.. I appreciate your help and time...thanks

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