Faster than a speeding bullet, more powerful than a locomotive, able to keep leap tall buildings in a single bound. The infant of Krypton is now the Man of Steel: Superman!

a) Given what you know about Superman from this description, estimate the maximum speed with which he can jump. State explicitly your assumptions and any limitations of your model, and comment on the result. If you decide to use the acceleration due to gravity, you may estimate a value of g=10 m/s^2. Note, the empire state building is approx. 450 m to the tip of the spire.

The current price of a stock is $65.88. If dividends are expected to be $1 per share for the next five years, and the required return is 10%, then what should the price of the stock be in 5 years when you plan to sell it? If the dividend and required returns remained the same; and the stock price is expected to increase by $1 five years from now, does the current stock price also increase by $1? Why or why not?

I only need d) to be solved, thanks

(a) Derive the answer to price of the stock in 5 years (i.e. Find: Ps.) The question does not specify expected dividends or the required rate of return for beyond five years. Assume that following the fifth year (i.e. in the 6th year) that dividends grow at a constant rate forever and that the required rate of return remains at 10%

b) Find the growth rate of dividends that is consistent with your answer in part (a) to Ps. (Hint: use the Gordon growth model.) Now suppose instead that Ps-101.

c) What is the price of the stock today? Finally, suppose that dividends stay at S1 forever.

d）Unlike question b) above, consider a “two-stage Gordon growth model” where the growth rate of dividends is greater than required rate of return over the first five years. As before, suppose D1 =1 and ke =.1. However, now dividends grow from year 1 until year 5 at 20%, and after year 5 they stop growing. What is the price of the stock today?

1. Write down an algorithm in pseudo-code whose running time where input is an array whose length defines the problem size. Take the cost of execution of each line of the algorithm as 1.

2. Make comment about the following paragraph:

“You are given two independent algorithms and whose running time complexities are and , respectively. If we add a new line to our algorithm in which it calls the algorithm then the running time complexity of the modified algorithm becomes ”.

1. What will print?
int[][] numbers = { { 1, 2, 3, 4 },{ 5, 6, 7, 8 },{ 9, 10, 11, 12 } };
System.out.println(numbers[1][3]);

a) 13

b) 4

c) 8

d) 12

2. With what value does currYear = yearsArr[2] assign currYear?
int[ ] yearsArr = new int[4];
yearsArr[0] = 1999;
yearsArr[1] = 2012;
yearsArr[2] = 2025;         

a) 4

b) 1999

c) 2012

d) 2025

3. What will print?
String [][] names = { { "Elliot", "Darlene", "Angela", "Tyrell" },
{ "Joanna", "Phillip", "Tomero", "Trenton" },
{ "Mobley", "Whiterose", "Cisco", "Leon", "Mr. Robot" } };
System.out.println(names[2][4]);

a) Elliot

b) Angela

c) Joanna

d) Mr. Robot

4. What will print?
int[][] myNumbers = { {1, 2, 3, 4}, {5, 6, 7, 8}, {1, 2, 3, 4} };
int x = myNumbers[2][2];
System.out.println(x);

a) 5

b) 3

c) 7

d) 8

5. What will print?
int[][] myNumbers = { {1, 2, 3, 4}, {5, 6, 7, 8} };
int x = myNumbers[1][2];
System.out.println(x);

a) 5

b) 3

c) 7

d) 8

Consider two sets of integers represented in arrays, X = [x1, x2, . . . , xn] and Y =
[y1, y2, . . . , yn]. Write two versions of a FindSetUnion(X, Y ) algorithm to find the union of X
and Y as an array. An element is in the union of X and Y if it appears in at least one of X and Y .
You may make use any algorithm introduced in the lectures to help you develop your solution. That
is, you do not have to write the ‘standard’ algorithms – just use them. Therefore, you should be able
to write each algorithm in about 10 lines of code. You must include appropriate comments
in your pseudocode.

question:

(a) [2 Marks] Write a pre-sorting based algorithm of FindSetUnion(X, Y ). Your algorithm
should strictly run in O(n log n).
(b) [2 Marks] Write a Hashing based algorithm of FindSetUnion(X, Y ). Your algorithm should
run in O(n).

Devos Inc. is building a hotel. It will have 4 kinds of rooms: suites where customers can smoke, suites that are non-smoking, budget rooms where the customers can smoke, and budget rooms that are non-smoking. When we build the hotel, we need to plan for how many rooms of each type we should have. The following are requirements for the hotel:

1. We want to figure out how many rooms of each type to build based on maximizing revenue if we fill up the hotel. We expect to charge $190 for a suite that is non-smoking and $140 for a budget room that is non-smoking. Smoking room customers for both suites and budget rooms will have to pay an additional $20 per night.
2. We can spend up to $7,500,000 on construction of our hotel. The cost to build a non-smoking budget room is $12,000. The cost to build a non-smoking suite is $15,000. It is $3,000 additional for a smoking room of either type for smoke detectors and sprinklers.
3. We require that the number of budget rooms be at least 1.5 times the number of suites, but no more than 3 the number of suites.
4. There needs to be at least 80 suites, but no more than 200.
5. Industry trends recommend that smoking rooms should be less than 50% of the non-smoking room and in addition, we require our builder gives us at least 4 smoking rooms.

Discuss the meaning of 'COMPLETE INFORMATION' in the context of the 'Prisoner's Dilemma'.

• Discuss the decision making steps that management must take when deciding to sell or process further.

Lisa bodell;

What holds us back from better embracing change might not be what you think.and I think its two things: the first thing is mindset. And what we always find with leaders is we can’ tell them that they’re the ones that are holding us back from change, we have to show them. And the reason why I think mindset is what holds us back is we don’t realize how much we resist change on a regular basis.in fact one of things I talk about a lot with people is that I don’t think we’re grooming leaders right now; I think that we are grooming professional skeptics. A lot of people are becoming risk averse because so much is on the line. They are skeptical because the unknown is obviously more frightening than the known. And you can ask people, wen you give them new ideas, what they think about that idea. And most times, nine times out of ten, people’s reaction will be able to tell you what they don’t like about the idea first before they can tell you what they like. So shifting the mindset to seeing possibilities, what could happen versus whats wrong with something, keeps an idea alive. And thats very important in terms of getting people in the mindset for change. Don’t shut something down before you give it a fair chance. The second thing that I think holds us back is our assumptions. And I talk a lot about this in my book kill the company is that we have a lot of assumptions. Around how things should work, have always worked, need to work, we’ve already tried things that way and I think one of the problem is our assumptions hold us back from actually attacking problems. And what I mean by this is often we look at problem as very big, very large, and thats because we have a lot of assumptions about the problem. And we teach people how to break down a problem into truths or many assumptions and attacks those individual assumption and turn them on their head.if you can actually take our assumptions and change then you can start to see again more possibilities for change. We Did a case study with several companies but one primarily down in Wall Street. And what was interesting about it is we worked together to come up with a new ways to instill change in an organization. Most companies when they her about a change program now they just want to hear to turn off. Everyone has change fatigue. And the reason for that is most change initiatives simply don’t work. And we wanted to go about in a new way.so we tested all kinds of things from tools that were amazing to techniques that were horrible and failed, but what came out of the research that we did with several companies over any years, but one intently over eight weeks was this: change cannot be put on people. The best way to instill change is to do it with them.create it with them. The second thing is that change of course has to be supported from the top down. It must be supported from the top down. But where change happens is from the middle out.so the people that are sitting in what you do every day, which is meetings and emails, the people that are doing those things every day, more than they’d like, those are the ones that are going to be creating the change; they’re the ones that have to be in power to do it. The third thing is that I don’t think it should be a 12-step program. People are beyond tired of 12-step programs. They need a toolkit; an on-demand toolkit of tools that they can use when they’re stressed out, when something happens suddenly, when they just don’t know what else to do.the final thing is change can’t be complex. We have to work on simplifying, so from my perspective

And at my company if theres a tool that we have that take us more than an hour to teach you, we should be fired. We should only give you simple tools that every layer of the organization can use and get on the same page with change.

Question: In the article above, Lisa Bodell addresses resisting change. What insights have you gained from her presentation?

write a 3 pages paper about corona virus and its impact on the world economy.

Python language!!!!!

№1

The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word s from Berlandish into Birlandish as t. Help him: find out if he translated the word correctly.

Input

The first line contains word s, the second line contains word t. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols.

Output

If the word t is a word s, written reversely, print YES, otherwise print NO.

Examples

input

code
edoc

output

YES

№2

Anton likes to play chess, and so does his friend Danik.

Once they have played n games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.

Now Anton wonders, who won more games, he or Danik? Help him determine this.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of games played.

The second line contains a string s, consisting of n uppercase English letters 'A' and 'D' — the outcome of each of the games. The i-th character of the string is equal to 'A' if the Anton won the i-th game and 'D' if Danik won the i-th game.

Output

If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.

If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.

If Anton and Danik won the same number of games, print "Friendship" (without quotes).

Examples

input

6
ADAAAA

output

Anton

№3

You can not just take the file and send it. When Polycarp trying to send a file in the social network "Codehorses", he encountered an unexpected problem. If the name of the file contains three or more "x" (lowercase Latin letters "x") in a row, the system considers that the file content does not correspond to the social network topic. In this case, the file is not sent and an error message is displayed.

Determine the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. Print 0 if the file name does not initially contain a forbidden substring "xxx".

You can delete characters in arbitrary positions (not necessarily consecutive). If you delete a character, then the length of a string is reduced by 11. For example, if you delete the character in the position 22 from the string "exxxii", then the resulting string is "exxii".

Input

The first line contains integer nn (3≤n≤100)(3≤n≤100) — the length of the file name.

The second line contains a string of length nn consisting of lowercase Latin letters only — the file name.

Output

Print the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. If initially the file name dost not contain a forbidden substring "xxx", print 0.

Examples

input

6
xxxiii

output

1

write a persuasive essay of 250 words about the use of technology .

How do we develop the RIGHT culture in project management so that the influence is positive? any ideas from the MIS perspective?

Many "course and instructor evaluation" systems consist of inappropriate or ineffective measurements. Discuss how the principles in this chapter can be used to develop an effective measurement system for instructor performance.

Brexit: What were the better circumstances for the U.K. to leave the from E.U.? Explain on 2 paragraphs-Provide 1 reference.