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In the following star-shaped graph, there are four nodes on each line. (1) Color each node either red or blue. Find a way of coloring

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In the following star-shaped graph, there are four nodes on each line. (1) Color each node either red or blue. Find a way of coloring such that the number of red nodes on each line is an odd number; Or (2) If this is not possible, show your proof that it is not possible

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