Answers

WEIGHT = 15

WEIGHT = 1

Weighing the Hackenbush apple tree, door, barrel and streetlight

WEIGHT = 1

WEIGHT = 1

WEIGHT = 4

Weighing the Hackenbush apple tree, door, barrel and streetlight

8 and 12, to have nim sum 4. Clearly we must choose the left branch. Climbing the tree, we discover that there is a unique winning move—chop the twig bearing the second apple from the left."

This chop lowers the tree's weight (the value of its trunk) to 5 [see Figure 89]. The graphs now have weights of 5—1-1-4—1, which have a nim sum of zero.

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