You are given a rope of length n meters and scissors that can cut the rope into any two pieces. Forsimplification, only consider cutting the rope at an integer position by the meter metric.Each cut has a cost associated with it, c(m), which is the cost of cutting the rope at position m. (You can callc(m) at any time to return the cost value.)The goal is to cut the rope into k smaller pieces, minimizing the total cost of cutting.BProvide the pseudo-code of your dynamic programming algorithm f(n,k) that will return the minimumcost of cutting the rope of length n into k pieces. Briefly explain your algorithm.What is the benefit of using dynamic programming for this problem?What are the key principles of dynamic programming used in your algorithm?

Dynamic Programming ExplanationRestatement of the ProblemWe are given a length n rope and can make a…

Answered: You are given a rope of length n meters…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Start with a pile of n stones and successively split a pile into two smaller piles until each pile has only one Each time a split happens, multiply the number of stones in each of the two smaller piles. (For example, if a pile has 15 stones and you split it into a pile of 7 and another pile of 8 stones, multiply 7 and 8.) The goal of this problem is to show that no matter how the pile of n stones are split, the sum of the products computed at each split is equal to n(n - 1)/2. Using strong mathematical induction, prove that no matter how the pile of n stones are split, the sum of the products computed at each split is equal to n(n - 1)/2.
Please solve this code.
In the example below, the sum of the fourth powers of each digit that forms the 4-digit numbers gives the number itself: 1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44 And sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all numbers that can be written as the sum of the fifth forces of their numbers. (P.s.: You have to done it by C++)
Print the distance covered by each car after each hour. After 10 hours, the car with highest distance covered shall win. You shall print the car model that won the race e.g. "BMW i8 Won the race". As you know, distance (km) = time (hrs) X speed (km/hr). So, you understand, the maximum distance a car can travel in 10 hours, based on above rules is 5000 km, how? say each time maximum number was generated for the race (10 X 500). To calculate total distance traveled by each car, add another attribute, odoMeter in AutomaticCar and initialize it to 0. After each hour, add the total distance traveled by the car in that round in odoMeter field.
Python answer only. Correct answer will upvoted else downvoted. It is the ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two kinds of activities: Increment both an and b by 1. Diminishing both an and b by 1. This activity must be performed if both an and b are more noteworthy than 0. In one action, you can play out any of these activities. You can perform self-assertive (potentially zero) number of moves. Decide the greatest energy the fans can get and the base number of moves needed to accomplish it. Note that gcd(x,0)=x for any x≥0. Input The principal line of input contains a solitary integer t (1≤t≤5⋅103) — the number of experiments.…
The position as a function of time of a squirrel running on a grass field is given in polar coordinates by: r(t) = 20 + 30 (1 – e-0.1 t) 0(t) = 1 (1 – e-0.2 t) = TT Plot as 1* subplot the trajectory (position) of the squirrel for 0 st < 20s with a step of time 0.5s. Calculate numerically the speed of the squirrel given by v = r d8/dt. Create a 2d subplot for speed of the squirrel v (numerical) as function of time for 0 st s 20s. Report the curve as green circle without line. In the same figure (2¤d subplot), plot as black solid line the theoretical velocity given by the formula v = r de/dt as function of time for 0 st s 20s.
Wo Home I(O noPHP) I Homework 10 Q2 Q1 Q3 L Q4 Q5 Q6 (a) Q7 Q8 Q9 Q10 (x = L, y = 0) |(x = 0, y = 0) (b) A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 5, L= 6.27 m, E = 73000 kN/cm2, I=38000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 15 bisection iteration? wo -(-æ³ +2L²x³ – L^x) 120EIL dy de wo (-5xª + 6L²x² – Lª) 120EIL Choices 2.5236 1.402 2.804 4.206 Submit I Attempts 1 |
Q10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dQ 1 +R- + √ √e dt2 dt L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) = V(t), henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ellee (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(t).
There are two banks; Bank A and Bank B. Their interest rates vary. You have received offers from both banks in terms of annual rate of interest, tenure, and variations of the rate of interest over the entire tenure. You have to choose the offer which costs you least interest and reject the other. Do the computation and make a wise choice. The loan repayment happens at a monthly frequency and Equated Monthly Installment (EMI) is calculated using the formula given below : EMI = loanAmount * monthlyInterestRate / ( 1 - 1 / (1 + monthlyInterestRate)^(numberOfYears * 12)) Constraints: 1 <= P <= 1000000 1 <=T <= 50 1<= N1 <= 30 1<= N2 <= 30 Input Format: First line : P – principal (Loan Amount). Second line: T – Total Tenure (in years). Third Line: N1 is the number of slabs of interest rates for a given period by Bank A. First slab start from the first year and the second slab starts from the end of the first slab and so on. Next N1 line will…
Need help with the following code I'm not sure if I'm doing it right and also getting an error: simulate a ping pong game with one of the above mentioned random number generator - system random function with seed = 5, and compute the probability you win a ping pong game up to n points, when your probability of winning each point is p (and your friend wins the point with probability 1 − p). Assume you have to win by (at least) 2; for example, if n = 21 and the score is 21 - 20, the game isn't over yet. - Simulate ntrials = 5, 000 games, and make a single plot with the x-axis being p for different values of p in {0, 0.04, 0.08, · · · , 0.96, 1.0} and the y-axis being the probability of winning the overall game (use your previous function). Plot 3 "curves" in different colors, one for each n in 3,11,21. - Identify the interesting pattern you notice when n gets larger (regarding the steepness of the curve), and explain why it makes sense. - Each curve you make for different values of n…
38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.
The velocity v and the falling distance d as a function of time of a skydiver that experience the air resistance can be approximated by: and d() = " in cosh :) kg v(t) = mg tanh where k = 0.24 Kg is a constant, m is the skydiver mass, g = 9.81 " is the acceleration due to gravity, and t is the time in seconds since the skydiver starts falling. Write m MATLAB code to determine the velocity v and the falling distance d at t = 8s for a 95kg skydiver. • Note: Velocity v and distance d are each worth 50% of the total points for this problem. Script e C Reset I MATLAB Docume 1 % Define variable(s) here. 3 v = % write the equation for v here, do not change the variable name. 4 d = % write the equation for d here, do not change the variable name.

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