Analyze its running time for an n game match

Assignment Help Basic Computer Science
Reference no: EM131361563

The traditional world chess championship is a match of 24 games. The current champion retains the title in case the match is a tie. Each game ends in a win, loss, or draw (tie) where wins count as 1, losses as 0, and draws as 1/2. The players take turns playing white and black. White has an advantage, because he moves first. The champion plays white in the first game. He has probabilities ww, wd, and wl of winning, drawing, and losing playing white, and has probabilities bw, bd, and bl of winning, drawing, and losing playing black.

(a) Write a recurrence for the probability that the champion retains the title. Assume that there are g games left to play in the match and that the champion needs to win i games (which may end in a 1/2).

(b) Based on your recurrence, give a dynamic programming to calculate the champion's probability of retaining the title.

(c) Analyze its running time for an n game match.

Reference no: EM131361563

Questions Cloud

Find the amounts of the three parts of the investment : The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $7200. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three par..
Write a memo to the international accounting standards board : Write a brief memo to the International Accounting Standards Board (IASB) that will convince the board to adopt the tax method that provides the greatest tax benefit to corporations.
What extent does mill adequately clarify : To what extent does Mill adequately clarify and/or overcome the misinterpretations and objections raised by others against Utilitarianism?
Gender differences in entrepreneurship : Please ensure that the writer summarizes the current literature on female entrepreneurship as well as point out the limitations and gaps in knowledge. The topic is Gender Differences in Entrepreneurship.
Analyze its running time for an n game match : Write a recurrence for the probability that the champion retains the title. Assume that there are g games left to play in the match and that the champion needs to win i games (which may end in a 1/2).
Develop appropriate hypotheses : 1. Justify your selection of DV, IV, and Mediator or Moderator. Develop appropriate hypotheses.  2. Develop appropriate hypotheses. 3. Test your moderation hypothesis using SPSS.
Complete the production budget on the budgets tab : Complete the Production Budget on the Budgets tab below by using the information found in the budgeted balance sheet above.
Amounts of the three parts of the investment : The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
Find the marginal revenue for the production levels : Assume that a demand equation is given by q = 9000 minus 100p. Find the marginal revenue for the given production levels(values of q). (Hint: Solve the demand equation for p and use R(q)= qp.)

Reviews

Write a Review

Basic Computer Science Questions & Answers

  Identifies the cost of computer

identifies the cost of computer components to configure a computer system (including all peripheral devices where needed) for use in one of the following four situations:

  Input devices

Compare how the gestures data is generated and represented for interpretation in each of the following input devices. In your comparison, consider the data formats (radio waves, electrical signal, sound, etc.), device drivers, operating systems suppo..

  Cores on computer systems

Assignment : Cores on Computer Systems:  Differentiate between multiprocessor systems and many-core systems in terms of power efficiency, cost benefit analysis, instructions processing efficiency, and packaging form factors.

  Prepare an annual budget in an excel spreadsheet

Prepare working solutions in Excel that will manage the annual budget

  Write a research paper in relation to a software design

Research paper in relation to a Software Design related topic

  Describe the forest, domain, ou, and trust configuration

Describe the forest, domain, OU, and trust configuration for Bluesky. Include a chart or diagram of the current configuration. Currently Bluesky has a single domain and default OU structure.

  Construct a truth table for the boolean expression

Construct a truth table for the Boolean expressions ABC + A'B'C' ABC + AB'C' + A'B'C' A(BC' + B'C)

  Evaluate the cost of materials

Evaluate the cost of materials

  The marie simulator

Depending on how comfortable you are with using the MARIE simulator after reading

  What is the main advantage of using master pages

What is the main advantage of using master pages. Explain the purpose and advantage of using styles.

  Describe the three fundamental models of distributed systems

Explain the two approaches to packet delivery by the network layer in Distributed Systems. Describe the three fundamental models of Distributed Systems

  Distinguish between caching and buffering

Distinguish between caching and buffering The failure model defines the ways in which failure may occur in order to provide an understanding of the effects of failure. Give one type of failure with a brief description of the failure

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd