Question: Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in

Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and q as descendants (where we allow a position to be a descendant of itself ). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm?

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The algorithm is given below Algorithm LCANode v ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Introduction to Algorithms Questions!

Given a graph G and a minimum spanning tree T, suppose that we decrease the weight of one of the edges in T. Show that T is still a minimum spanning tree for G. More formally, let T be a minimum...

Let T be a (possibly improper) binary tree with n nodes, and let D be the sum of the depths of all the external nodes of T. Describe a configuration for T such that D is Î©(n 2 ). Such a...

In this problem, we prove a probabilistic (n lg n) lower bound on the running time of any deterministic or randomized comparison sort on n distinct input elements. We begin by examining a...

Let T be a tree with n nodes. Define the lowest common ancestor (LCA) between two nodes v and w as the lowest node in T that has both v and w as descendents (where we allow a node to be a descendent...

In pseudocode please: Q 1 . Let T be a tree with n nodes. Define the lowest common ancestor ( LCA ) between two nodes v and w as the lowest node in T that has both v and w as descendants ( where we...

Q 1 . Let T be a tree with n nodes. Define the lowest common ancestor ( LCA ) between two nodes v and w as the lowest node in T that has both v and w as descendants ( where we allow a node to be a...

Java Let T be a tree with n positions. Describe the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and q as descendants (where we allow a...

using python code Q1. [10] Binary Tree Let T be a binary tree with n nodes. Define the Lowest Common Ancestor (LCA) between two nodes v and was the lowest node in T that has both v and was...

Let T be a tree with n positions (nodes). Define the lowest common ancestor (LCA) between two positions v and w as the lowest position in T that has both v and w as descendants (where we allow a...

Suppose each position p of a binary tree T is labeled with its value f (p) in a level numbering of T. Design a fast method for determining f (a) for the lowest common ancestor (LCA), a, of two...

A student loan of R6978 is to be repaid by 18 equal monthly instalments. Assuming that instalments are due at the beginning of each month and that the first instalment is payable immediately, what is...

Repeat Exercise 12.18 for a column packed with 2-in. stainless-steel Pall rings.

With the aid of a market failure diagram, explain why a government might use congestion zone charging to reduce the use of motor vehicles in city centres such as London and?

6. What advice about project closing is most useful to you? What other advice would you add? bgt8

Prove that the slack form given to the PIVOT procedure and the slack form that the procedure returns are equivalent.

In the single-source shortest-paths problem, we want to find the shortest-path weights from a source vertex s to all vertices V. Given a graph G, write a linear program for which the solution has...

For the slack form in (29.38)(29.41), what are N, B, A, b, c, and ?

Etonic Inc. is considering an investment of $371,000 in an asset with an economic life of 5 years. The firm estimates that the nominal annual cash revenues and expenses at the end of the first year...

K-Roo Ltd. wants to finance its US investments in the international debt market. It faces the following current and expected interest rates: Current annualized 90-day LIBOR: 4.2% Expected 90-day...

A company that manufactures electronic calculators uses a certain type of plastic . An alternative plastic material is introduced in the market and the manager of the company is thinking of shifting...