Question: Let T be a complete binary tree, with each edge assigned a weight in { 1 , 1 } . A nontrivial path in T

Let T be a complete binary tree, with each edge assigned a weight in {1,1}. A nontrivial path in T is
balanced if the weights on its edges sum to zero. For example, the below tree contains seven balanced paths: {R,A,C},{R,A,D},{R,B,E},{A,R,B},{C,A,R,B,E},{D,A,R,B,E},{E,B,F}.

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