Is it possible to form the above figure without lifting the pen from paper and not retracing any line again.
Don't solve it using those ''ingenious'' tricks.
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Let's remember that an E u l e r i a n p a t h is a trail in a graph which visits every edge exactly once. Also, a graph has an E u l e r i a n p a t h if and only if all of its vertex has an even degree or if there's two odd-degree vertex and the other ones are even-degree. Note that in the graph all vertex are odd-degree. Thus, there's no way to draw the figure without lifting the pen from the paper and not retracing any line (edge).