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Consider the problem of summing n numbers by adding together various pairs of numbers and/or partial...

Consider the problem of summing n numbers by adding together various pairs of numbers and/or partial sums, for example, {[(3+1)+(2+5)]+9}.


(a) Represent this addition process with a tree. What will internal vertices represent?


(b) What is the smallest possible height of an “addition tree” for summing 100 numbers?

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