Question: Generating Combinatorial Objects 1 4 9 else for i 1 to n do HeapPermute ( n 1 ) if n is odd swap A [

Generating Combinatorial Objects 149
else
for i 1 to n do
HeapPermute(n 1)
if n is odd
swap A[1] and A[n]
else swap A[i] and A[n]
a. Trace the algorithm by hand for n =2,3, and 4.
b. Prove the correctness of Heaps algorithm.
c. What is the time efficiency of HeapPermute?

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