Consider a variant of the Longest Increasing Subsequence (MIS) problem, the heaviest LIS problem. In the heaviest LIS problem, you are given a sequence a1,..., an, where each a, is a positive integer, the goal is find an increasing subsequence such that its sum is maximized. Give a O(n) algorithm for computing a heaviest LIS.

Answers

Answer 1

To compute a heaviest Longest Increasing Subsequence (LIS) in a given sequence efficiently with a time complexity of O(n), we can use the concept of dynamic programming.

The algorithm follows these steps: 1. Initialize two arrays, "lis" and "sum," both of size n, where n is the length of the sequence. The "lis" array will store the length of the LIS ending at each element, and the "sum" array will store the maximum sum of the LIS ending at each element.

2. Initialize the "lis" and "sum" arrays with values of 1 and the corresponding element values of the sequence, respectively.

3. Traverse the sequence from left to right. For each element, compare it with all previous elements. If the current element is greater than the previous element and the sum of the LIS ending at the previous element plus the current element is greater than the sum at the current element, update the "lis" and "sum" arrays accordingly.

4. Finally, find the element in the "sum" array with the maximum value and trace back the LIS by following the indices stored in the "lis" array.

By following these steps, we can compute a heaviest LIS in linear time, O(n), where n is the length of the input sequence. The dynamic programming approach allows us to efficiently update and store the necessary information for calculating the maximum sum.

Learn more about sum here: brainly.com/question/29334900

#SPJ11


Related Questions

The picture is above no one answers my questions can someone please answer this I will be so thankful!

Answers

Answer:

Step-by-step explanation:

81 is the anwer

Answer:

105

Step-by-step explanation:

2(6^2)+2*6-3

2*36+2*6-3

72+2*6-3

72+36-3

105

Find the equation of the line containing (3,-2) and (6,3).
Express the equation in slope-intercept form,

Answers

Answer:

Y= 5/3x -7

Step-by-step explanation:

To find the slope with the given points you find the distance between the y values and the x values. (Rise/Run = Y/X). Once you find the pattern you can use it until you find the y intercept if you're using graph paper!

Hope this helps! :)

(Side Note: The distance for the y values from -2 and 3 is +5. The distance for the x values is +3 )

The function C(x) = 25x + 50 represents the labor cost (in dollars) for Certified Remodeling to build a deck, where x is
the number of hours of labor. The table shows sample labor costs from its main competitor, Master Remodeling.

Answers

Answer:

Master Remodeling

Step-by-step explanation:

Original question is attached

Option 1C(x) = 25x + 50C(8) = 25*8 + 50 = $250Option 2As per table, the rate of change is $30 per 2 hours.So 8 hours will cost $190 + $30 = $220

As we see the second option is cheaper so we should hire the Master Remodeling

On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).

Which lists all of the x-intercepts of the graphed function?


0, 6)

(1, 0) and (2, 0)

(1, 0), (2, 0), and (–3, 0)

(1, 0), (2, 0), (–3, 0), and (0, 6)
Someone pls help me answer this is worth a lot of points on my test.

Answers

Answer:

(-3,0) and (1,0)

Answer

The answer is C, because those are the points that cross the x-axis.

Step-by-step explanation:

i worked it out on paper

Make an equation to find the area of this figure.

Answers

Answer:

20x20=400

Step-by-step explanation:

Pls awnser the question (I will name brainliest)

Answers

Answer:

Yes, the last digit i think its 10 is a outlier.

Step-by-step explanation:It is one because it just   stick in the chart, like it   fit in

Answer:10 foot is the outlier

Step-by-step explanation:it differs

from the rest

fast plssss help me out !

Answers

The answer is combine like terms

Answer:

combine like terms

Step-by-step explanation:

7x and 4x were added together to get 11x. 35 and 20 were added together to get 55

I apologize , but I still don’t get none of these questions , can I have help ?

Answers

Answer:

The measures of the angles: m∠1 = 51°, m∠2 = 39°

Step-by-step explanation:

In this type of question, you should substitute the measures of the angle by the given values and solve the equation to find x, then find the measure of each angle.

∵ m∠1 + m∠2 = 90°

∵ m∠1 = 3x°

∵ m∠2 = (x + 22)°

→ Substitute m∠1 by 3x° and m∠2 by (x + 22)° in the equation above

3x° + (x + 22)° = 90°

→ Add the like terms in the right side

∴ (3x + x) + 22 = 90

∴ 4x + 22 = 90

→ Subtract 22 from both sides

∴ 4x + 22 - 22 = 90 - 22

∴ 4x = 68

→ Divide both sides by 4 to find the value of x

∴ [tex]\frac{4x}{4}=\frac{68}{4}[/tex]

x = 17

→ Now substitute the value of x in each angle to find them  

∵ m∠1 = 3x°

m∠1 = 3(17) = 51°

∵ m∠2 = (x + 22)°

m∠2 = (17 + 22) = 39°  

The measures of the angles: m∠1 = 51°, m∠2 = 39°

(70 x 10^-4) x (60 x 10^6) =

Answers

Answer:

Step-by-step explanation:

(70 x 10^-4) x (60 x 10^6) = (70 x ([tex]\frac{1}{10}[/tex] x  [tex]\frac{1}{10}[/tex] x  [tex]\frac{1}{10}[/tex] x  [tex]\frac{1}{10}[/tex])) x ( 60 x 1000000)

= 70 x [tex]\frac{1}{10000}[/tex] x 60000000 = 420000

Answer:

(70x10^-4) x (60 x 10^6) = 420000

so the answer would be

420000

help pls im bad at math

Answers

Answer:

1.5 would be a rational number and the irrational number could be the sqrt(2)

Step-by-step explanation:

1.5 is a rational number because it can be a fraction 3/2, but the square root of 2, written as [tex]\sqrt{2}[/tex], cannot be simplified into a fraction, and it written like this. This number is equal to around 1.414 approximately, so it satisfies the question

The data set shows the ages of the members of a book club. What is the shape of the distribution of this data set?

19, 21, 18, 19, 16, 21, 20, 17, 16, 17, 20, 18

A.
symmetrical
B.
uniform
C.
skewed to the left
D.
skewed to the right

Answers

Answer:e

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

have a great day

Can someone please help me asap I’ll mark brainlist!!?!?

Answers

Answer:

32/13

Step-by-step explanation:

2 6/13

2(13)=26

26+6=32

32/13

Answer:

32/13

Step-by-step explanation:

13x2=26

26+6=32

Denominator stays the same

answer please ? i don’t understand

Answers

Answer:

It is letter C

Step-by-step explanation:

It is C
.................

A parking garage charges $2 for the first hour and $3 for each additional hour. Fran must spend less than $20 for parking. What is the
greatest number of hours Fran can park? Let u , stand for hours parked.

Answers

Answer:

he can only stay for 6hr cause 7 hr would use his whole 20

100 POINTS + BRAINLIEST !!!!!!!!
In a certain mathematics examination, the probability of being award a grade A is believed to be 0.3
For a group of 10 candidates, calculate:
i) the probability that at least half achieve grade A
The probability of being awarded a grade B is also 0.3
ii) Find the probability that all ten candidates achieve either grade A or grade B

Answers

Answer:  (i) 15%     (ii) 0.6%

Step-by-step explanation:

Given: P(A) = 0.3      ⇒ ~P(A) = 0.7

           P(B) = 0.3      ⇒ ~P(B) = 0.7

    P(A ∪ B) = 0.6      ⇒ ~P(A ∪ B) = 0.4

If you don't have a calculator function for the Binomial Formula, the equation is: [tex]P(X)=\dfrac{n!}{X!(n-X)!}\cdot p^X\cdot (1-p)^{n-X}[/tex]     where

n is the number of trialsp is the probability of successX is the number of successes

(i) Probability of at least 5 --> P(X ≥ 5) means P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(5): n = 10, p = 0.3, X = 5       → P(5) = 0.1029

P(6): n = 10, p = 0.3, X = 6       → P(6) = 0.0368

P(7): n = 10, p = 0.3, X = 7        → P(7) = 0.0090

P(8): n = 10, p = 0.3, X = 8        → P(8) = 0.0014

P(9): n = 10, p = 0.3, X = 9        → P(9) = 0.0001

P(10): n = 10, p = 0.3, X = 10     → P(10) = 0.0000  

                                                TOTAL = 0.1502    →   15.02%

(ii) Probability of A or B = 10 --> P(X = 10)

P(10): n = 10, p = 0.6, X = 10       → P(10) = 0.0060    →   0.6%

What is the measure of ABD?


A 32

B 58

C 64

D 148

E 180

Answers

Answer: The answer is 148

Step-by-step explanation:

Angle CBA and ABD should add up to 180 degrees. So you just do 180-32=148

The measurement of the ∠ABD in the given figure is 148°.

Hence the correct option is D.

Given that are two lines AE and CD are intersecting at point B, making angle ∠ABC = 32°.

We need to find the measurement of the ∠ABD.

To find the measurement of the ∠ABD, we will use the concept of linear pair angles.

According to the figure, angles ABC and ABD are linear pair angles, that mean they are supplementary, or we can say their sum is 180°.

Therefore, setting up the equation.

∠ABC + ∠ABD = 180°

Plugging the value of angle ABC from the given information,

32° + ∠ABD = 180°

Subtracting 32 from both the sides,

∠ABD = 180° - 32°

∠ABD = 148°

Hence the angle ABD is equal to 148°.

Therefore, the correct option is D.

Learn more about Linear pair click;

https://brainly.com/question/1757859

#SPJ6

Aman decleared that he will give 20% discount on each items
in his shop. Sita bought a rice cooker from the shop at Rs.
3,500. If the shopkeeper made a profit of 5% on selling rice
cooker to Sita, find the cost price, marked price and discount
amount of the rice cooker.​

Answers

Answer:

Let be cost price =Rs.100

Then mark price =Rs.120

∴ Selling price =90% of 120

=

100

120×90

=Rs.108

Profit = Selling price− Cost price

=Rs.(108−100)=Rs.8

Profit % =

100

8×100

=8%

Evaluate the expression for x=5, y=-3 and z=7
(x2 – z) (22+5)

Answers

Answer:

81

Step-by-step explanation:

(Refer to image)

Plug in x and z and follow order of operations to simplify the expression

There is 1/8
of a pizza left to split between 2 of your friends. If you split the pizza equally, what fraction of the pizza will each of your friends get?

Answers

Answer:

youll get 1/16 each

Step-by-step explanation:

1/16 + 1/16 = 2/16 = 1/8

each person will get 1/16

Which product is negative?

−2⋅(−7)⋅12⋅(4)

4⋅(−9)⋅(−3)⋅(−1)

−6⋅(−7)⋅(−8)⋅0

−3⋅(−2)⋅(−4)⋅(−7) ( plz help me)

Answers

Answer:

The second product is negative.

Step-by-step explanation:

A negative times a positive is a negative.

Answer:

Step-by-step explanation:

4•(-9)•(-3)•(-1)

-36•(-3)•(-1)

108•(-1)

-108

f(x) = 3x – 2 if f(x) =7

Answers

Answer:

19

Step-by-step explanation:

3(7)-2

21-2=19

this explanation needs to be more than 20 characters so that's why I'm typing this sentence

Answer: 19

Step-by-step explanation:

1. Substitute 7 for x

2. 3x7=21

3.21-2=19

find the value of the x for the following 5x - 7 = 18

Answers

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

5x - 7 = 18

Step 2: Solve for x

Add 7 to both sides: 5x = 25Divide both sides by 5: x = 5

Step 3: Check

Plug in x to verify it's a solution.

5(5) - 7 = 18

25 - 7 = 18

18 = 18

Answer:

.x =5

Step-by-step explanation:

5x - 7 = 185x = (18+7)5x = 25

divide 5 both sides.

x = 5

Write an equation to represent the following statement. j is 7times as large as 6 .

Answers

6=j-7, sorry if it’s wrong

Item 17 You have 13 gallons of lemonade to sell. You use cone-shaped cups that are 7 centimeters in diameter and 11 centimeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade? (1 gal ≈ 3785 cm3)

Answers

Sorry wish I knew this one :(

Item New Price Price Change Decrease Bike $110 $96 Scooter $45 $56 Tennis Racket $79 Increase Skis $580 25% Decrease
Did it increase or decrease..?​

Answers

Answer:

increase

Step-by-step explanation:

Eight less than the product of two and a number c.

Answers

Answer:

2c-8

Step-by-step explanation:

2c-8

product is multiplication of 2 numbers/terms

that would be 2 and c together

eight less than that would be 2c-8

A young sumo wrestler decided to go on a special diet to gain weight rapidly. WWW represents the wrestler's weight (in kilograms) after ttt months. W=80+5.4tW=80+5.4tW, equals, 80, plus, 5, point, 4, t What was the wrestler's weight before his special diet?

Answers

Answer:

80kg

Step-by-step explanation:

Given:

W = 80 + 5.4t

Where,

W = the wrestler's weight (in kilograms

t = number of months

What was the wrestler's weight before his special diet?

W = 80 + 5.4t

When t = 0 (that is before the weight gain)

W = 80 + 5.4t

= 80 + 5.4(0)

= 80kg

When t = 1 ( first month of the weight gain)

W = 80 + 5.4t

= 80 + 5.4(1)

= 80 + 5.4

= 85.4 kg

The wrestler's weight before his special diet is 80kg

ALTERNATIVELY

W = 80 + 5.4t

80 = the fixed weight

5.4 = weight gained per month

t = number of months

Therefore,

The fixed weight which is 80kg is the weight of the wrestler before the special diet.

Answer:

10.8

Step-by-step explanation:

This is correct on khan academy.

Find f(0)
(-3
f(x) = {10+ x
(4-x
-55x<-1
0

Answers

Answer:

34o

Step-by-step explanation:

16 + 8 to the power of 2 divided by 4 - 4, Add on set of parenthesis to make it undefined

Answers

Answer:

(16+8)²÷(4-4)

Need help for one question for geometry !

Answers

the 5th option is the answer.
Other Questions
Formed deep underground over thousands of years of heat and pressure, coal is a carbon-rich black rock that releases energy when burned. In the United States, roughly 30 percent of all electricity comes from coal: the rest comes from natural gas, nuclear, and renewables like wind and solar.When coal is burned it releases a number of airborne toxins and pollutants. They include mercury, lead, sulfuric dioxide, nitrogen oxides, particulates, and various other heavy metals. Health impacts can range from asthma and breathing difficulties, to brain damage, heart problems, cancer, neurological disorders, and premature death.Answer the follwoing questions:Discuss why countries still use coal-power plants despite its environmental and health risk?Should electricity driven by coal be banned in the world? THIS SUBJECT called ENVIRONMENTAL MANAGEMENT i need the answers ASAP. Mass, unsolicited email messages, called ________, are the result of a malicious script scam The highest court in NY state is the Supreme Court of the State of New York: True False Fresco Appliances manufactures two products: Food Processors and Espresso Machines. The following data are available:Food ProcessorsEspresso MakersSales price$135$245Variable costs$90$180The company can manufacture two food processors per machine hour and three espresso machines per machine hour. The company's production capacity is 1,200 machine hours per month.What is the contribution margin per machine hour for espresso machines?$675$195$65$90 Given the following macroeconomics information of a hypothetical economy:C = 250 + 0.8 (DI)I = 250G = 350T = 400NX = 0(A). Compute the equilibrium level of real GDP.(B). Assuming the full level of equilibrium is is at $3,250, is the economy operating in a recessionary or inflationary GDP gap?(C). Calculate the amount of government spending necessary to close up the GDP gap.(D). Finally, calculate the amount of taxes necessary to close up the same level of GDP gap. heducatio momework, part 10 Saved Exercise 3-4 Preparing adjusting entries (annual)-depreciation LO4 Mean Beans, a local coffee shop, has the following assets on January 1, 2020. Mean Beans prepares annual financial statements and has a December 31, 2020 year-end. The company's depreciation policy is to use the straight-line method to depreciate its assets. a. On January 1, 2020, purchase equipment costing $20,200 with an estimated life of five years. Mean Beans will scrap the equipment after five years for $0. b. On July 1, 2020, purchase furniture (tables and chairs) costing $21,500 with an estimated life of ten years. Mean Beans estimates that it can sell the furniture for $4,900 after ten years. c. On January 1, 2018, Mean Beans had purchased a car costing $19,250 with an estimated life of eight years. Mean Beans estimates that it can sell the car for $3,850 after eight years. Required: 1-8. For each transaction, calculate the current year annual depreciation expense. 4 a. Annual depreciation expense on equipment b. Annual depreciation expense on furniture c. Annual depreciation expense on car B3. The following information relates to three possible capital expenditure projects. Because of capital rationing, only one project can be accepted. Project A B C Initial Cost 200 000 230 000 180 000 Expected Life 5 years 5 years 4 years Scrap value 10 000 15 000 8000 Expected () () () Cash Inflows End Year 1 80 000 100 000 55 000 End Year 2 70 000 70 000 65 000 End Year 3 65 000 50 000 95 000 expected vorap vande 210 210 Expected () () () End Year 1 80 000 100 000 55 000 End Year 2 70 000 70 000 65 000 End Year 3 65 000 50 000 95 000 End Year 4 60 000 50 000 100 000 End Year 5 55 000 50 000 Depreciation is charged on a straight line basis over the economic life of each project. Depreciation is the only adjustment difference between accounting profit and cash flows for each project. The company estimates its cost of capital as 18 per cent. The discount factors (p.a.) for 18% discount rate are as follow: expected Cash Inflows Do 200 MANG2014 W1 Year 0 1 2 3 4 5 6 1 0.847 0.718 0.609 0.516 0.437 0.370 Calculate for each project a) the pay back period. b) the accounting rate of return. c) the net present value. [10 marks] Which project should be accepted - give reasons. [5 marks] Explain how investment decisions, in practice, affect the maximisation of shareholders wealth. [5 marks] Required (i) (ii) If Mexicans increasingly lose confidence in their domestic financial markets and move their assets to other countries,Group of answer choicesa. the peso will depreciate.b. the peso will appreciate.c. the peso is selling at a premium.d. there will be no impact on the peso exchange rate. Please use this information provided below to answer bothchapter 10 questions. This information will appear at the beginningof both ch 10 questions and will not change. Your company is upgrading t Given that, 1 Chinese yuan = 0.12, convert 265 into Chinese yuan. Give your answer to the nearest yuan According to the Special Provisions Endorsement for New York (DP 01 31), which of the following statements is correct? A According to a dwelling policy, the insured may sue the insurer after three years from the date of loss in New York B If a law requires a covered building to be demolished after being damaged by an insured peril, then it is covered by a DP-2 (broad peril form) policy C In the event of a fire loss to three- and four-family dwellings, the insurer must pay tax liens after the damage is repaired, unless the policy limit has been reached D Breakage of glass caused directly by earth movement is excluded Explain in detail the evolution of Markowitz Modern PortfolioTheory to Capital Asset Pricing Model and Arbitrage Pricing Theory,noting the weaknesses of each of the theories.(20 marks) 1. What separates average organizations from excellent ones2. What are some typical things that customers want?3. What are some indicators that a company has customer friendlysystems in place Present graphically the long-run relationship between the economic growth and inflation in AD- AS model. Explain the role of quantity equation in determining the inflation rate. (Present value of complex cash flows) How much do you have to deposit today so that beginning 11 years from now you can withdraw$10,000 a year for the next 5 years (periods 11 through 15 ) plus an additional amount of $20,000 in the last year (period 15)? Assume an interest rate of 6 percent.The amount of money you have to deposit today is $_________ . (round to the nearest cent) .Microscopic analysis of the stool samples revealed the presence of small oval-shaped structures, with defined outer walls and two to four nuclei inside that looked like seeds. What is your diagnosis? What did the first phone change in the 1990s 1.-Sears restructured many times to meet consumer needs, however, they failed to meet consumer needs in e-commerce. Why did Sears digital strategy fail? (Select all that apply)2.-What factors have contributed to Amazons success in e-commerce? (Select all that apply) "The application sought for an order that service of the writ of summons and notice in this case on them as partners of the defendant firm be set aside. They alleged that they had ceased to be partners of the defendant firm, having sold and assigned all their shares, rights, and interests in the firm, and having duly signed their withdrawal from the partnership. However, they subsequently discovered that the withdrawal forms were not registered with the Registrar of Limited Liability Partnership (MyLLP)".Given the scenario above, if it is a case of a professional partnership incorporated as a limited liability partnership, explain the meaning of a "professional partnership".15 marks Assuming that you are the Contract Administrator appointed by the contractor, produce a report addressing the followings:Task 2: Appraise the basic procurement arrangements including the features, pros, cons and responsibilities and risks of parties. Support the discussion with additional reading/literature