Generate all permutations of {1,2,3,4} by (Do not write code to answer this question. To answer this question you have to read section 4.3 Algorithms for Generating Combinatorial Objects) a. the bottom-up minimal-change algorithm. b. the Johnson-Trotter algorithm. C. the lexicographic-order algorithm.

Answers

Answer 1

a. The bottom-up minimal-change algorithm generates all permutations by iteratively generating the next permutation with minimal change from the previous one.

b. The Johnson-Trotter algorithm generates all permutations by iteratively swapping adjacent elements that have different directions until no more swaps are possible.

c. The lexicographic-order algorithm generates all permutations by iterating through the permutations in lexicographic order.

The bottom-up minimal-change algorithm generates all permutations by iteratively generating the next permutation with minimal change from the previous one. Starting with the initial permutation, it finds the rightmost element that is smaller than the element to its right.

It then finds the smallest element to the right of this element that is greater than it, swaps them, and reverses the sequence to the right of the original element. This process is repeated until all permutations have been generated.

b. The Johnson-Trotter algorithm generates all permutations by iteratively swapping adjacent elements that have different directions until no more swaps are possible. The direction of an element is determined by its relative size to its adjacent elements.

The algorithm starts with the initial permutation and repeatedly finds the largest mobile element (an element that is smaller than its adjacent element in its direction) and swaps it with its adjacent element in the opposite direction. This process is repeated until all permutations have been generated.

c. The lexicographic-order algorithm generates all permutations by iterating through the permutations in lexicographic order. It starts with the initial permutation and repeatedly finds the largest index i such that a[i] < a[i+1].

If no such index exists, the permutation is the last one. Otherwise, it finds the largest index j such that a[i] < a[j], swaps a[i] and a[j], and reverses the sequence from a[i+1] to the end. This process is repeated until all permutations have been generated.

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The given question is incomplete, the complete question is:

Explain a. the bottom-up minimal-change algorithm. b. the Johnson-Trotter algorithm. c. the lexicographic-order algorithm.


Related Questions

Find x and y so that the quadrilateral is a parallelogram.

Find x and y so that the quadrilateral is a parallelogram.

Answers

Answer:

Result:

The value of x = 12The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

The value of x = 12The value of y = 21

WILL MARK BRAINLIEST ANSWER CORRECTLY OR ISTFG

WILL MARK BRAINLIEST ANSWER CORRECTLY OR ISTFG

Answers

Answer: X - 2y = 6

Hope it helped!

Answer:

2x+y=-7

Step-by-step explanation:

I had to use my graphing calculator. This looks like it is the answer.

Can someone help me with this.
:)

Can someone help me with this.:)
Can someone help me with this.:)

Answers

For #2 just do Pythagorean theorem. That is 5²+h²=10²
25+h²=100
h²=75
h=sqrt(75)
Use a calculator to approximate the height

And I think it is irrational because square roots are not exact rational numbers

Help I have picked B but I don't know if it is correct. I will give brain.

Help I have picked B but I don't know if it is correct. I will give brain.

Answers

Answer: B is correct

Step-by-step explanation:

You didnt get it wrong

The volume of a cylinder is 980 pie inches square the height of the cylinder is 20 inches what is the radius of the cylinder

Answers

Answer:

r≈3.95in

Step-by-step explanation:

A company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 millimeters and an upper specification limit of 23.1 millimeters. The standard deviation is 0.19 millimeters and the mean is 22.9 millimeters. What is the process capability index for the process? Note: Round your answer to 4 decimal places.

Answers

The process capability index for the process is 0.1754.

How to calculate the index?

The first sided specification limit will be:

= (Upper specification limit - mean)/(3 × standard deviation)

= (23.1 - 22.9)/(3 × 0.19)

= 0.2/0.57

= 0.3508

The second sided specification limit will be:

= (22.9 - 22.8)/(3 × 0.19)

= 0.1/0.57

= 0.1754

The process capability index for the process is 0.1754 wine it's the lower value.

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HELP! Will mark brainliest Tysm

HELP! Will mark brainliest Tysm

Answers

Answer:

i think its the third one sorry if its wrong

Step-by-step explanation:

HELP! Will mark brainliest Tysm

Drag the numbers to the boxes on the right to match each expression on the left with its numeric equivalent.
-12
-4
4
12
9 + (-5)
-8-4
8-(-4)
-9 + 5

Answers

Answer:

-12=-8 -4

-4= -9 +5

4=9+ (-5)

12= 8-(-4)

Step-by-step explanation:

We can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

To match each expression on the left with its numeric equivalent, we can simply evaluate the expressions:

Expressions play a crucial role in human interaction, conveying emotions, intentions, and information without the need for extensive verbal communication. They enrich our conversations and help create deeper connections with others.

-9 + 5 = -4

9 + (-5) = 4

8 - (-4) = 12

-8 - 4 = -12

Now, we can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

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A five foot tall girl casts a 7 foot long shadow. A nearby telephone pole casts a 35 foot long shadow. What is the height of the telephone pole?

Answers

Answer: the height of the telephone pole is 25 feet.

Step-by-step explanation:

First, make a proportion as such: 7/5=35/x. You are solving for x. Next, figure out what number multiplied by 7 is 35. The number is 5. Now, multiply 5 by 5, and that is the answer.

7/5=35/x

x=25

7/5=35/25

To doublecheck, you can divide both 35 and 25 by 5.

35/5=7

25/5=5

If you get 7/5, then the answer is correct.

Answer:

25 feet

Step-by-step explanation:

1. Set up a proportion

\(\frac{5}{7}\) = \(\frac{x}{35}\)

x = the height of the telephone pole

2. Cross multiply

5 * 35 = 175

7 * x = 7x

175 = 7x

3. Solve for x

25 = x

The height of the telephone pole is 25 feet.

a student takes an exam containing 1111 true or false questions. if the student guesses, what is the probability that he will get less than 55 but more than 33 questions right? round your answer to four decimal places.

Answers

Required Probabilty = 161.1

n = 1111

Probability of getting correct P(c)= 1/2

Probability of getting wrong P(w)= 1/2

So it follows binomial distribution

P (x*r) = Ncr .(P)r . (q)n-r = P (33<X<55) = P(X-r) = 1111c4 .  (1/2) power of 44 . (1/2) power of 1111-44

Required Probabilty = 161.1

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Please help sadmasdasfasfsag

Please help sadmasdasfasfsag

Answers

Answer: 1- subtract 25 from 62, that’s your x

2- add 19 to 46, that’s your y

3- subtract 56 from 74, that’s your b

Step-by-step explanation:

can someone help me solve this equation
2/3m=1/2

Answers

Steps to solve:

2/3m = 1/2

~Multiply 3/2 to both sides

m = 3/4

Best of Luck!

please help i need these rn!!
order the units from least to greatest.

1 meter, 1 kilometer, 1 millimeter, 1 centimeter

Answers

Answer:

1 millimeter, 1 centimeter, 1 meter, 1 kilometer

Step-by-step explanation:

Step-by-step explanation:

+kilometers meter centimeter then millimeter

What is half of a 3/4 cup?

Answers

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

What is the quotient of 7/4 and 7/8

Answers

Solution:

\( \frac{7}{4} \div \frac{7}{8} \\ = \frac{7}{4} \times \frac{8}{7} \\ = 2\)

Answer:

2

Answer:

Step-by-step explanation:

7/4 divided by 7/8

First flip the fraction on the right

7/4 divided by 8/7

Then multipy the numbers by each other

7/4 times 8/7 = 56/28

Now simply

56 divided by 28 = 2

28 divided by 28 = 1

=2/1

Quotient = 2

what makes this statment true 9^-2=?
a)81
b)18
c)1/81
d)-1/81

Answers

The answer to this statement is c

Please help, I'm stuck
Suppose ten distinct, positive integers have a median of $10$. ("Distinct integers" means that no two integers are the same.)

What is the smallest the average of those ten integers could be?

Explain your answer in complete sentences.

Answers

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

20 POINTS.

Solve 4x+2 = 12 for x using the change of base formula

−1. 442114

−0. 207519

2. 55789

3. 79248

Answers

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

The given equation is 4x+2 = 12.

To solve for x using the change of base formula, we need to isolate x on one side of the equation. We start subtracting 2 from LHS and RHS:

4x+2-2 = 12-2

4x = 10

Next, we use the change of base formula, which states log base a of b is equal to log base c of b divided by log base c of a. In this case, we want to find x, which is the exponent that 4 is raised to in order to get 10.

Rewrite equation:

x = log base 4 of 10

Use the change of base formula, we can present this as:

x = \(log base 10 of 10 / log base 10 of 4\)

Simplifying:

x = 1.442114

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

In conclusion, using the change of base formula, the answer to the equation 4x+2 = 12 is roughly 1.442114. This method can be used to solve a variety of problems in the sciences, engineering, and financial sectors, as well as exponential and logarithmic equations.

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A square is ____ a quadrilateral
always sometimes never

Answers

Answer:

Always

Step-by-step explanation:

Every square is a closed figure, and every square has 4 straight sides, so every square is a quadrilateral.

Answer:

The answer is ALWAYS

PLEASE HELP!! Which of the following demonstrates the commutative property across multiplication for 2 x 10 x 7
A.(2 x 10) x 7
B. 10 x7 x 2
C. 2 +10 x 7
D 2 x (10 x 7)

Answers

I think it’s all except for c
The answer is B
10 x 7 x 2

What Percent of Cedric's gross pay is his net pay. Round to the nearest tenth of a percent. Gross=$2,195 Net=$1,714. 74

Answers

we know that we must add 29.8% more, in decimal form, to the net income in order to get the gross income.

Let's see the facts:

Income = $3,788

Withheld:

6.2% for social security

1.45% for medicare

16% for federal income tax

6.15% for state income tax

Now, with this given data, we can asseverate that the gross income is obtained by multiplying the net income by the sum of percentages as follows:

The sum of contributions: 6.2+1.45+16+6.15 = 29.8 %

So, we know that we must add 29.8% more,in decimal form, to the net income in order to get the gross income.

The gross income is:

Gross income= 3,788x 1.298

[Because 1 represents 100% and 0.298 represents %29.8]

Gross income = $4,916.82

The complete question is-

Cedric's monthly net income is $3,788. The following is withheld from him monthly gross income: 6.2% for social security • 1.45% for Medicare 16% for federal income tax 6.15% for state income tax Determine Cedric's monthly gross income. Round your answer to the nearest cent.

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graph the circle which is centered at (-5,1) and which has a point (-2,-3) on it

graph the circle which is centered at (-5,1) and which has a point (-2,-3) on it

Answers

We can start by placing the center at (-5,1).

The radius of the circle will be the distance between the center and the point (-2,-3).

If we graph this two points, we can use an angle protractor to draw the circle passing through point P(-2,-3) and centered at (C(-5,1):

graph the circle which is centered at (-5,1) and which has a point (-2,-3) on it

Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that both marbles are red.

Answers

\(|\Omega|=8\cdot7=56\\|A|=2\cdot1=2\\\\P(A)=\dfrac{2}{56}=\dfrac{1}{28}\)

Pls help me and explain thank u very much :)

Pls help me and explain thank u very much :)

Answers

The perimeter of the square ABCD is given as follows:

P = 44.8 units.

How to obtain the perimeter of a square?

The perimeter of a square of side length s is given by the multiplication of 4 and the side length, as follows:

P = 4s.

One of the sides in the square is AB, hence we apply the formula for the distance between two points to obtain the side length, as follows:

\(s = \sqrt{(8 - 3)^2 + (-14 - (-4))^2} = 11.2\)

Hence the perimeter is given as follows:

P = 4 x 11.2

P = 44.8 units.

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What is an equation of the line that is parallel to y=3x-8 and passes through the point, (4,-5)

Answers

Answer:

y= 3x-17

Step-by-step explanation:

When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.

In order to do this you plug the parallel lines passing point into the equation.

-5(y) goes into the y's spot. 4(x) goes into the x's spot.

-5 = 3 x 4 + b

-5 = 12 + b

-5 - 12 = 12 - 12 + b

-17 = b

y=3x-17

Answer:

y= 3x-17

Step-by-step explanation:

I did the test and I got this

b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)

Answers

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

which of the following run-time complexity orders ranks between the other two? group of answer choices o(2^n) exponential none of these o(n^2) quadratic (or polynomial) o(log n) logarithmic time

Answers

As per the question, the complexity that ranks between the other two is O(n^2) - Quadratic (or Polynomial).

How to solve

As we compare the run-time complexities, it's crucial to examine the function’s growth with an increase in input size (n).

Let us analyze the growth rates:

Exponential (O(2^n)): The function doubles for each increment in n. This is very fast growth.

Quadratic (O(n^2)): The function grows proportional to the square of n. This is slower growth compared to exponential but faster than logarithmic.

Logarithmic (O(log n)): The function grows very slowly as n increases. The growth rate is less than linear (O(n)).

So the ranking, from slowest to fastest growth, is:

O(log n) - Logarithmic

O(n^2) - Quadratic (or Polynomial)

O(2^n) - Exponential

As per the question, the complexity that ranks between the other two is O(n^2) - Quadratic (or Polynomial).


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which of the following run-time complexity orders ranks between the other two? group of answer choices

Once a month, volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
If they pick up trash at the same rate, how many pounds of trash should the volunteers pick up this month?

Answers

Answer:

Step-by-step explanation:

8 pounds.... 4hours

x pounds.... 3 hours

x=3 ×8 :4

x=24 :4

x=6 pounds of trash

The number of pounds of trash should the volunteers pick up this month is 6.

Calculation of the number of pounds:

Since  Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.

So here we can do

x=3 ×8 :4

x=24 :4

x=6

Hence, The number of pounds of trash should the volunteers pick up this month is 6.

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Choose the appropriate condition for the following pairs of triangles to be congruent.

Answers

Excuse me but I’m going to need to see the multiple choices?

what times what equals 3545?

Answers

Answer:

5 and 709

1 and 3545

Step-by-step explanation:

To find the factors of 3545, we can look for clues. We know numbers ending in 5 can be divisible by 5. So, 3545/5 = 709.

We also know 3545 is divisble by 1, so 3545/1 = 3545.

#YourWelcome.

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