How many different binary search trees can be made

Reference no: EM131239664

1. Show that a graph is connected if and only if it has a spanning tree.

2. How many different binary search trees can be made with three pieces of data? What about with four pieces of data?

3. In Section 10.8, the tree of partial solutions could have had as many as 1+8+64+...8⁸ = 19,173,961 nodes.

(a) We knew that node (2,2) corresponded to a non-solution. How many nodes did we remove from the tree by removing (2,2)?

(b) We also know that (2,1),(2,3), and all other pairs of the form (k,k - 1),(k,k),(k,k+1) correspond to non-solutions. How many such nodes are there?

(d) So, just removing the length-2 nodes that we know are no good, how many nodes are left in the tree of partial solutions?

Reference no: EM131239664

Questions Cloud

What is likely to happen in the court case : A week later Denny trashes the bike, and he tells Lisa that he is not going to pay. Lisa sues Denny in court for breach of contract, and she learns that he is only 16. What is likely to happen in the court case?

What can you say about the number of steps n that he took : Imagine a number line with the integers marked. Your old pal Grover starts at 0, and once per second takes a step to the left or a step to the right. (Being Grover, he probably sings a song about left and right as he does this.)

Environmentally friendly-square meters of space : A "green" (environmentally friendly) office building costs as average of $3.50 per square foot each year to heat and cool. What is the total annual heating and cooling cost of an office building that has 10,000 square meters of space?

Do you think the legal system should enforce more promises : Consideration is one mechanism by which the legal system determines what contracts the courts will enforce. Do you think the legal system should enforce more promises? Why or why not?

How many different binary search trees can be made : So, just removing the length-2 nodes that we know are no good, how many nodes are left in the tree of partial solutions?

Estimate present value of the cost of defaults on contract : Estimate the present value of the cost of defaults on the contract. Assume that defaults are recognized only at the end of the life of the contract.

Navigate to the threaded discussion : Navigate to the threaded discussion below and respond to the following: Explain your thoughts on the economic policies defined in God's Word. Be specific, using examples from Luke chapter 3. Your initial post is due by the end of the fourth day of t..

Develop strategies to advance career using your strengths : Write a 1,050- to 1,400-word paper in which you include the following: Explain why you agree or disagree with your results. Develop strategies to advance your career using your strengths.

Determine the strategy that you would utilize for collecting : You have been appointed head of a United Nations agency tasked with collecting transnational crime statistics. Determine the strategy that you would utilize for collecting, compiling, and disseminating the transnational crime data that you are see..

User Account

All Pages