a.
To show that the treap associated with the given nodes is unique.
b.
To show that the expected height of treap is
c.
To explain the procedure of TREAP-INSERT in English and provide its pseudo code.
d.
To show that expected running time of TREAP-INSERT is
e.
To prove that the total number of rotations performed during insertion of x is equal to C + D.
f.
To prove that
g.
To prove that
h.
To prove that
i.
To prove that
j.
To conclude that expected number of rotations performed during insertion of node into a treap is less than 2.
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Introduction to Algorithms
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